id
stringlengths 22
25
| content
stringlengths 327
628k
| max_stars_repo_path
stringlengths 49
49
|
|---|---|---|
condefects-java_data_1801
|
import java.util.Scanner;
class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int n = sc.nextInt(), h = sc.nextInt(), x = sc.nextInt(), i = 0;
n = h;
while(h > x) {
h = n;
h += sc.nextInt();
i++;
}
System.out.print(i);
}
}
import java.util.Scanner;
class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int n = sc.nextInt(), h = sc.nextInt(), x = sc.nextInt(), i = 0;
n = h;
while(h < x) {
h = n;
h += sc.nextInt();
i++;
}
System.out.print(i);
}
}
|
ConDefects/ConDefects/Code/abc317_a/Java/54937321
|
condefects-java_data_1802
|
import java.util.Scanner;
public class Main{
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int n = Integer.parseInt(sc.next());
int h = Integer.parseInt(sc.next());
int x = Integer.parseInt(sc.next());
for (int i = 1; i <= n; i++) {
if (x - h >= Integer.parseInt(sc.next())) {
System.out.println(i);
break;
}
}
sc.close();
}
}
import java.util.Scanner;
public class Main{
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int n = Integer.parseInt(sc.next());
int h = Integer.parseInt(sc.next());
int x = Integer.parseInt(sc.next());
for (int i = 1; i <= n; i++) {
if (x - h <= Integer.parseInt(sc.next())) {
System.out.println(i);
break;
}
}
sc.close();
}
}
|
ConDefects/ConDefects/Code/abc317_a/Java/54641510
|
condefects-java_data_1803
|
import java.util.Scanner;
public class Main{
public static void main(String[] args){
Scanner scanner=new Scanner(System.in);
int N=Integer.parseInt(scanner.next());
int H=Integer.parseInt(scanner.next());
int X=Integer.parseInt(scanner.next());
scanner.nextLine();
for(int i=0;i<N;i++){
int P=Integer.parseInt(scanner.next());
if(H+P>X){
System.out.println(i+1);
return;
}
}
}
}
import java.util.Scanner;
public class Main{
public static void main(String[] args){
Scanner scanner=new Scanner(System.in);
int N=Integer.parseInt(scanner.next());
int H=Integer.parseInt(scanner.next());
int X=Integer.parseInt(scanner.next());
scanner.nextLine();
for(int i=0;i<N;i++){
int P=Integer.parseInt(scanner.next());
if(H+P>=X){
System.out.println(i+1);
return;
}
}
}
}
|
ConDefects/ConDefects/Code/abc317_a/Java/47998917
|
condefects-java_data_1804
|
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
// StringBuilder sb = new StrignBuilder();
int n = sc.nextInt();
int h = sc.nextInt();
int x = sc.nextInt();
for(int i=1; i<=n; i++) {
if(h+sc.nextInt()>x) {
System.out.println(i);
return;
}
}
}
}
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
// StringBuilder sb = new StrignBuilder();
int n = sc.nextInt();
int h = sc.nextInt();
int x = sc.nextInt();
for(int i=1; i<=n; i++) {
if(h+sc.nextInt()>=x) {
System.out.println(i);
return;
}
}
}
}
|
ConDefects/ConDefects/Code/abc317_a/Java/55144701
|
condefects-java_data_1805
|
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.NoSuchElementException;
public class Main {
static FastScanner fs = new FastScanner();
static PrintWriter out = new PrintWriter(System.out);
public static void main(String[] args) {
int n = Integer.parseInt(fs.next());
int h = Integer.parseInt(fs.next());
int x = Integer.parseInt(fs.next());
int[] p = new int[n];
for (int i = 0; i < n; i++) {
p[i] = Integer.parseInt(fs.next());
}
for (int i = 0; i < n; i++) {
if (x < h + p[i]) {
out.println(i + 1);
break;
}
}
out.flush();
}
static class FastScanner {
private final InputStream in = System.in;
private final byte[] buffer = new byte[1024];
private int ptr = 0;
private int buflen = 0;
private static boolean isPrintableChar(int c) {
return 33 <= c && c <= 126;
}
private boolean hasNextByte() {
if (ptr < buflen) {
return true;
} else {
ptr = 0;
try {
buflen = in.read(buffer);
} catch (IOException ignored) {
}
return buflen > 0;
}
}
private int readByte() {
if (hasNextByte()) return buffer[ptr++];
else return -1;
}
private void skipUnprintable() {
while (hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++;
}
public boolean hasNext() {
skipUnprintable();
return hasNextByte();
}
public String next() {
if (!hasNext()) throw new NoSuchElementException();
StringBuilder sb = new StringBuilder();
int b = readByte();
while (isPrintableChar(b)) {
sb.appendCodePoint(b);
b = readByte();
}
return sb.toString();
}
public long nextLong() {
if (!hasNext()) throw new NoSuchElementException();
long n = 0;
boolean minus = false;
int b = readByte();
if (b == '-') {
minus = true;
b = readByte();
}
if (b < '0' || '9' < b) {
throw new NumberFormatException();
}
while (true) {
if ('0' <= b && b <= '9') {
n *= 10;
n += b - '0';
} else if (b == -1 || !isPrintableChar(b)) {
return minus ? -n : n;
} else {
throw new NumberFormatException();
}
b = readByte();
}
}
}
}
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.NoSuchElementException;
public class Main {
static FastScanner fs = new FastScanner();
static PrintWriter out = new PrintWriter(System.out);
public static void main(String[] args) {
int n = Integer.parseInt(fs.next());
int h = Integer.parseInt(fs.next());
int x = Integer.parseInt(fs.next());
int[] p = new int[n];
for (int i = 0; i < n; i++) {
p[i] = Integer.parseInt(fs.next());
}
for (int i = 0; i < n; i++) {
if (x <= h + p[i]) {
out.println(i + 1);
break;
}
}
out.flush();
}
static class FastScanner {
private final InputStream in = System.in;
private final byte[] buffer = new byte[1024];
private int ptr = 0;
private int buflen = 0;
private static boolean isPrintableChar(int c) {
return 33 <= c && c <= 126;
}
private boolean hasNextByte() {
if (ptr < buflen) {
return true;
} else {
ptr = 0;
try {
buflen = in.read(buffer);
} catch (IOException ignored) {
}
return buflen > 0;
}
}
private int readByte() {
if (hasNextByte()) return buffer[ptr++];
else return -1;
}
private void skipUnprintable() {
while (hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++;
}
public boolean hasNext() {
skipUnprintable();
return hasNextByte();
}
public String next() {
if (!hasNext()) throw new NoSuchElementException();
StringBuilder sb = new StringBuilder();
int b = readByte();
while (isPrintableChar(b)) {
sb.appendCodePoint(b);
b = readByte();
}
return sb.toString();
}
public long nextLong() {
if (!hasNext()) throw new NoSuchElementException();
long n = 0;
boolean minus = false;
int b = readByte();
if (b == '-') {
minus = true;
b = readByte();
}
if (b < '0' || '9' < b) {
throw new NumberFormatException();
}
while (true) {
if ('0' <= b && b <= '9') {
n *= 10;
n += b - '0';
} else if (b == -1 || !isPrintableChar(b)) {
return minus ? -n : n;
} else {
throw new NumberFormatException();
}
b = readByte();
}
}
}
}
|
ConDefects/ConDefects/Code/abc317_a/Java/53023152
|
condefects-java_data_1806
|
import java.util.*;
import java.util.stream.*;
import java.io.*;
public class Main{
static int[] order = new int[26];
public static void main(String[] args)throws Exception{
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
Scanner sc = new Scanner(System.in);
String S = sc.nextLine();
int len = S.length();
String[] arr = new String[len];
for(int i = 0; i < len; i++){
arr[i] = S.substring(i, len-1) + S.substring(0, i);
}
Arrays.sort(arr);
System.out.println(arr[0]);
System.out.println(arr[len-1]);
}
}
import java.util.*;
import java.util.stream.*;
import java.io.*;
public class Main{
static int[] order = new int[26];
public static void main(String[] args)throws Exception{
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
Scanner sc = new Scanner(System.in);
String S = sc.nextLine();
int len = S.length();
String[] arr = new String[len];
for(int i = 0; i < len; i++){
arr[i] = S.substring(i, len) + S.substring(0, i);
}
Arrays.sort(arr);
System.out.println(arr[0]);
System.out.println(arr[len-1]);
}
}
|
ConDefects/ConDefects/Code/abc223_b/Java/29546969
|
condefects-java_data_1807
|
import java.util.*;
public class Main{
public static void main(String[] args){
int n;
Scanner sc=new Scanner(System.in);
n=sc.nextInt();
int r=(int)Math.pow(3,n);
char[][] ans=new char[r][r];
for(int i=0;i<r;i++){
for(int j=0;j<r;j++){
ans[i][j]='*';
if(i%3==1&&j%3==1) ans[i][j]='.';
else{
for (int k = 3; k <= r/3; k *= 3) {
if (i/k%3 == 1 && j/k%3 == 1) {
ans[i][j]='.';
break;
}
}
}
}
}
for(int i=0;i<r-1;i++) System.out.println(new String(ans[i]));
System.out.print(new String(ans[r-1]));
}
}
import java.util.*;
public class Main{
public static void main(String[] args){
int n;
Scanner sc=new Scanner(System.in);
n=sc.nextInt();
int r=(int)Math.pow(3,n);
char[][] ans=new char[r][r];
for(int i=0;i<r;i++){
for(int j=0;j<r;j++){
ans[i][j]='#';
if(i%3==1&&j%3==1) ans[i][j]='.';
else{
for (int k = 3; k <= r/3; k *= 3) {
if (i/k%3 == 1 && j/k%3 == 1) {
ans[i][j]='.';
break;
}
}
}
}
}
for(int i=0;i<r-1;i++) System.out.println(new String(ans[i]));
System.out.print(new String(ans[r-1]));
}
}
|
ConDefects/ConDefects/Code/abc357_c/Java/54441864
|
condefects-java_data_1808
|
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner scan = new Scanner(System.in);
int n = scan.nextInt();
int maxSize = 1;
for (int i = 0; i < n; i++) {
maxSize *= 3;
}
System.out.println(maxSize);
char[][] result = new char[1][1];
result[0][0] = '#';
int size = 3;
while (size <= maxSize) {
char[][] array = result;
System.out.println(array.length);
result = new char[size][size];
for (int j = 0; j < array.length; j++) {
for (int i = 0; i < array.length; i++) {
extendCarpet(i, j, result, array[i][j]);
}
}
size *= 3;
}
for (int j = 0; j < result.length; j++) {
for (int i = 0; i < result.length; i++) {
System.out.print(result[i][j]);
}
System.out.println();
}
scan.close();
}
static void extendCarpet(int x, int y, char[][] dst, char character) {
int u = x * 3 + 1, v = y * 3 + 1;
for (int j = 0; j < 3; j++) {
for (int i = 0; i < 3; i++) {
dst[u + i - 1][v + j - 1] = character;
}
}
dst[u][v] = '.';
}
}
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner scan = new Scanner(System.in);
int n = scan.nextInt();
int maxSize = 1;
for (int i = 0; i < n; i++) {
maxSize *= 3;
}
char[][] result = new char[1][1];
result[0][0] = '#';
int size = 3;
while (size <= maxSize) {
char[][] array = result;
result = new char[size][size];
for (int j = 0; j < array.length; j++) {
for (int i = 0; i < array.length; i++) {
extendCarpet(i, j, result, array[i][j]);
}
}
size *= 3;
}
for (int j = 0; j < result.length; j++) {
for (int i = 0; i < result.length; i++) {
System.out.print(result[i][j]);
}
System.out.println();
}
scan.close();
}
static void extendCarpet(int x, int y, char[][] dst, char character) {
int u = x * 3 + 1, v = y * 3 + 1;
for (int j = 0; j < 3; j++) {
for (int i = 0; i < 3; i++) {
dst[u + i - 1][v + j - 1] = character;
}
}
dst[u][v] = '.';
}
}
|
ConDefects/ConDefects/Code/abc357_c/Java/54655309
|
condefects-java_data_1809
|
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc=new Scanner(System.in);
int a=sc.nextInt();
int b=sc.nextInt();
if(a*2==b || (a*2)+1==b ){
System.out.println("Yes");
}else {
System.out.println("N0");
}
}
}
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc=new Scanner(System.in);
int a=sc.nextInt();
int b=sc.nextInt();
if(a*2==b || (a*2)+1==b ){
System.out.println("Yes");
}else {
System.out.println("No");
}
}
}
|
ConDefects/ConDefects/Code/abc285_a/Java/40606913
|
condefects-java_data_1810
|
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
// TODO 自動生成されたメソッド・スタブ
Scanner input = new Scanner(System.in);
int a = input.nextInt();
int b = input.nextInt();
if (a*2 == b || a*2 == b) {
System.out.println("Yes");
} else {
System.out.println("No");
}
}
}
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
// TODO 自動生成されたメソッド・スタブ
Scanner input = new Scanner(System.in);
int a = input.nextInt();
int b = input.nextInt();
if (a*2 + 1 == b || a*2 == b) {
System.out.println("Yes");
} else {
System.out.println("No");
}
}
}
|
ConDefects/ConDefects/Code/abc285_a/Java/44422529
|
condefects-java_data_1811
|
import static java.lang.System.*;
import java.util.*;
public class Main{
public static void solve(){
Scanner sc = new Scanner(in);
int a = sc.nextInt();
int b = sc.nextInt();
out.println(b / 2 == a || b / 2 + 1 == a ? "Yes" : "No");
}
public static void main(String[] args) {
solve();
}
}
import static java.lang.System.*;
import java.util.*;
public class Main{
public static void solve(){
Scanner sc = new Scanner(in);
int a = sc.nextInt();
int b = sc.nextInt();
out.println(a * 2 == b || a * 2 + 1 == b ? "Yes" : "No");
}
public static void main(String[] args) {
solve();
}
}
|
ConDefects/ConDefects/Code/abc285_a/Java/39322844
|
condefects-java_data_1812
|
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner scan = new Scanner(System.in);
String S = scan.next();
String result = "Yes";
if (S.equals(S.toLowerCase())) {
result = "No";
} else {
for (int i = 0; i < S.length(); i++) {
if (S.indexOf(S.charAt(i)) != S.lastIndexOf(S.charAt(i))) {
result = "No";
}
}
}
System.out.println(result);
}
}
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner scan = new Scanner(System.in);
String S = scan.next();
String result = "Yes";
if (S.equals(S.toLowerCase())||S.equals(S.toUpperCase())) {
result = "No";
} else {
for (int i = 0; i < S.length(); i++) {
if (S.indexOf(S.charAt(i)) != S.lastIndexOf(S.charAt(i))) {
result = "No";
}
}
}
System.out.println(result);
}
}
|
ConDefects/ConDefects/Code/abc249_b/Java/35804211
|
condefects-java_data_1813
|
import java.nio.charset.StandardCharsets;
import java.util.Arrays;
import java.util.Scanner;
import java.util.stream.Collectors;
public class Main {
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in, StandardCharsets.UTF_8);
int n = scanner.nextInt();
int[] a = new int[n];
for (int i = 0; i < n; i++) {
a[i] = scanner.nextInt();
}
System.out.println(solve(n, a));
}
private static final long E12 = (long) 1e12;
private static String solve(int n, int[] a) {
long s = 0L;
long[] b = new long[n];
for (int i = 0; i < n; i++) {
b[i] = i;
s += i * a[i];
}
if (s == 0) {
return output(b);
}
if (s > 0 == a[0] > 0) {
b[0] = -s * a[0];
return output(b);
}
if (s > 0 == a[n - 1] < 0) {
b[n - 1] = -(s - (n - 1L) * a[n - 1]) * a[n - 1];
return output(b);
}
int pre = 0;
for (int i = 0; i < n; i++) {
pre += a[i];
if (pre != 0 && pre > 0 == a[n - 1] > 0) {
s = 0;
for (int j = i + 1; j < n; j++) {
s += j * a[j];
}
for (int j = 0; j < i; j++) {
b[j] = j - E12;
s += b[j] * a[j];
}
b[i] = -s * a[i];
return output(b);
}
}
int suf = 0;
for (int i = n - 1; i >= 0; i--) {
suf += a[i];
if (suf != 0 && suf > 0 == a[0] > 0) {
s = 0;
for (int j = i + 1; j < n; j++) {
s += j * a[j];
}
for (int j = i + 1; j < n; j++) {
b[j] = E12 - (n - 1 - j);
s += b[j] * a[j];
}
b[i] = -s * a[i];
return output(b);
}
}
return "No";
}
private static String output(long[] b) {
return "Yes"
+ System.lineSeparator()
+ Arrays.stream(b).mapToObj(String::valueOf).collect(Collectors.joining(" "));
}
}
/*
C - ± Increasing Sequence
https://atcoder.jp/contests/arc153/tasks/arc153_c
灵茶の试炼 2023-02-01
题目大意：
输入 n(1≤n≤2e5) 和长为 n 的数组 a，只包含 -1 和 1。
你需要构造一个严格递增数组 b，元素范围在 [-1e12,1e12]，且 sum(a[i]*b[i]) = 0
如果无法构造，输出 No；否则输出 Yes 和数组 b。
https://atcoder.jp/contests/arc153/submissions/38517162
提示 1：b 的首尾元素受到的约束最小，是最灵活的。
提示 2：如果 a 的首尾元素相同，那么无论中间算出的是多少，都可以通过调整 b 的首尾元素让 sum=0。
提示 3：如果 a 的首尾元素不同，基于提示 2，找 a 的一个前缀和，它与 a 的末尾元素的正负号相同；找 a 的一个后缀和，它与 a[0] 的正负号相同。这样的前缀和/后缀和就能作为一个「整体」，达到和提示 2 一样的效果。
如果不存在，则无法构造。
======
Input
5
-1 1 -1 -1 1
Output
Yes
-3 -1 4 5 7
Input
1
-1
Output
Yes
0
Input
2
1 -1
Output
No
*/
import java.nio.charset.StandardCharsets;
import java.util.Arrays;
import java.util.Scanner;
import java.util.stream.Collectors;
public class Main {
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in, StandardCharsets.UTF_8);
int n = scanner.nextInt();
int[] a = new int[n];
for (int i = 0; i < n; i++) {
a[i] = scanner.nextInt();
}
System.out.println(solve(n, a));
}
private static final long E12 = (long) 1e12;
private static String solve(int n, int[] a) {
long s = 0L;
long[] b = new long[n];
for (int i = 0; i < n; i++) {
b[i] = i;
s += i * a[i];
}
if (s == 0) {
return output(b);
}
if (s > 0 == a[0] > 0) {
b[0] = -s * a[0];
return output(b);
}
if (s > 0 == a[n - 1] < 0) {
b[n - 1] = -(s - (n - 1L) * a[n - 1]) * a[n - 1];
return output(b);
}
int pre = 0;
for (int i = 0; i < n; i++) {
pre += a[i];
if (pre != 0 && pre > 0 == a[n - 1] > 0) {
s = 0;
for (int j = i + 1; j < n; j++) {
s += j * a[j];
}
for (int j = 0; j < i; j++) {
b[j] = j - E12;
s += b[j] * a[j];
}
b[i] = -s * a[i];
return output(b);
}
}
int suf = 0;
for (int i = n - 1; i >= 0; i--) {
suf += a[i];
if (suf != 0 && suf > 0 == a[0] > 0) {
s = 0;
for (int j = 1; j < i; j++) {
s += j * a[j];
}
for (int j = i + 1; j < n; j++) {
b[j] = E12 - (n - 1 - j);
s += b[j] * a[j];
}
b[i] = -s * a[i];
return output(b);
}
}
return "No";
}
private static String output(long[] b) {
return "Yes"
+ System.lineSeparator()
+ Arrays.stream(b).mapToObj(String::valueOf).collect(Collectors.joining(" "));
}
}
/*
C - ± Increasing Sequence
https://atcoder.jp/contests/arc153/tasks/arc153_c
灵茶の试炼 2023-02-01
题目大意：
输入 n(1≤n≤2e5) 和长为 n 的数组 a，只包含 -1 和 1。
你需要构造一个严格递增数组 b，元素范围在 [-1e12,1e12]，且 sum(a[i]*b[i]) = 0
如果无法构造，输出 No；否则输出 Yes 和数组 b。
https://atcoder.jp/contests/arc153/submissions/38517162
提示 1：b 的首尾元素受到的约束最小，是最灵活的。
提示 2：如果 a 的首尾元素相同，那么无论中间算出的是多少，都可以通过调整 b 的首尾元素让 sum=0。
提示 3：如果 a 的首尾元素不同，基于提示 2，找 a 的一个前缀和，它与 a 的末尾元素的正负号相同；找 a 的一个后缀和，它与 a[0] 的正负号相同。这样的前缀和/后缀和就能作为一个「整体」，达到和提示 2 一样的效果。
如果不存在，则无法构造。
======
Input
5
-1 1 -1 -1 1
Output
Yes
-3 -1 4 5 7
Input
1
-1
Output
Yes
0
Input
2
1 -1
Output
No
*/
|
ConDefects/ConDefects/Code/arc153_c/Java/39913978
|
condefects-java_data_1814
|
import java.io.*;
import java.util.*;
public class Main {
static IOHandler sc = new IOHandler();
public static void main(String[] args) {
// TODO Auto-generated method stub
int n = sc.nextInt();
int [] arr = sc.readArray(n);
if (n == 1) {
System.out.println("Yes");
System.out.println(0);
return;
}
int [] prefix = new int [n];
int sum = 0;
long neg = 0;
long pos = 0;
for (int i = n - 1; i >= 0; --i) {
sum += arr[i];
prefix[i] = sum;
if (prefix[i] > 0)
pos += prefix[i];
else if (prefix[i] < 0)
neg += Math.abs(prefix[i]);
}
long [] res = solve(prefix, 1);
prefix[0] *= -1;
if (res == null) {
res = solve(prefix, -1);
}
if (res == null) {
System.out.println("No");
return;
}
System.out.println("Yes");
StringBuilder sb = new StringBuilder();
for (long num : res) {
sb.append(num);
sb.append(' ');
}
System.out.println(sb);
}
private static long [] solve(int [] prefix, int mul) {
long neg = 0;
long pos = 0;
for (int num : prefix) {
if (num < 0)
neg += Math.abs(num);
else
pos += num;
}
if (Math.min(pos, neg) == 0) {
return null;
}
long [] res = new long [prefix.length];
long lSum = 0;
int n = prefix.length;
int idx = 0;
long [] test = new long [n];
for (int i = 0; i < n - 1; ++i) {
if (prefix[i] == 0)
continue;
if ((prefix[n - 1] < 0) != (prefix[i] < 0) ) {
idx = i;
break;
}
}
long sum = 0;
Arrays.fill(test, 1);
//System.out.println(Arrays.toString(prefix));
for (int i = 0; i < n - 1; ++i) {
if (i == idx)
continue;
sum += prefix[i];
}
long eSum;
long absSum, absPrefix;
long rem;
eSum = sum + prefix[idx];
//System.out.println(eSum);
if ((eSum < 0) != (prefix[idx] < 0) ) {
absSum = Math.abs(sum);
absPrefix = Math.abs(prefix[idx]);
rem = absSum / absPrefix;
rem += 3;
test[idx] = rem;
eSum = sum + test[idx] * prefix[idx];
}
sum = eSum;
//System.out.println(sum);
test[n - 1] = Math.abs(sum);
//System.out.println(idx);
//System.out.println(Arrays.toString(test));
for (int i = 0; i < n; ++i) {
lSum += test[i];
if (i == 0)
lSum *= mul;
res[i] = lSum;
}
return res;
}
private static long gcd(long a, long b) {
if (a % b == 0)
return b;
return gcd(b, a % b);
}
private static class IOHandler {
BufferedReader br;
StringTokenizer st;
public IOHandler() {
br = new BufferedReader(new InputStreamReader(System.in));
}
String next() {
while (st == null || !st.hasMoreElements()) {
try {
st = new StringTokenizer(br.readLine());
} catch (IOException e) {
e.printStackTrace();
}
}
return st.nextToken();
}
int nextInt() {
return Integer.parseInt(next());
}
int [] readArray(int n) {
int [] res = new int [n];
for (int i = 0; i < n; ++i)
res[i] = nextInt();
return res;
}
long nextLong() {
return Long.parseLong(next());
}
double nextDouble() {
return Double.parseDouble(next());
}
String nextLine(){
String str = "";
try {
str = br.readLine();
} catch (IOException e) {
e.printStackTrace();
}
return str;
}
}
}
import java.io.*;
import java.util.*;
public class Main {
static IOHandler sc = new IOHandler();
public static void main(String[] args) {
// TODO Auto-generated method stub
int n = sc.nextInt();
int [] arr = sc.readArray(n);
if (n == 1) {
System.out.println("Yes");
System.out.println(0);
return;
}
int [] prefix = new int [n];
int sum = 0;
long neg = 0;
long pos = 0;
for (int i = n - 1; i >= 0; --i) {
sum += arr[i];
prefix[i] = sum;
if (prefix[i] > 0)
pos += prefix[i];
else if (prefix[i] < 0)
neg += Math.abs(prefix[i]);
}
long [] res = solve(prefix, 1);
prefix[0] *= -1;
if (res == null) {
res = solve(prefix, -1);
}
if (res == null) {
System.out.println("No");
return;
}
System.out.println("Yes");
StringBuilder sb = new StringBuilder();
for (long num : res) {
sb.append(num);
sb.append(' ');
}
System.out.println(sb);
}
private static long [] solve(int [] prefix, int mul) {
long neg = 0;
long pos = 0;
for (int num : prefix) {
if (num < 0)
neg += Math.abs(num);
else
pos += num;
}
if (Math.min(pos, neg) == 0) {
return null;
}
long [] res = new long [prefix.length];
long lSum = 0;
int n = prefix.length;
int idx = 0;
long [] test = new long [n];
for (int i = 0; i < n - 1; ++i) {
if (prefix[i] == 0)
continue;
if ((prefix[n - 1] < 0) != (prefix[i] < 0) ) {
idx = i;
break;
}
}
long sum = 0;
Arrays.fill(test, 1);
//System.out.println(Arrays.toString(prefix));
for (int i = 0; i < n - 1; ++i) {
if (i == idx)
continue;
sum += prefix[i];
}
long eSum;
long absSum, absPrefix;
long rem;
eSum = sum + prefix[idx];
//System.out.println(eSum);
if (eSum == 0 || (eSum < 0) != (prefix[idx] < 0) ) {
absSum = Math.abs(sum);
absPrefix = Math.abs(prefix[idx]);
rem = absSum / absPrefix;
rem += 3;
test[idx] = rem;
eSum = sum + test[idx] * prefix[idx];
}
sum = eSum;
//System.out.println(sum);
test[n - 1] = Math.abs(sum);
//System.out.println(idx);
//System.out.println(Arrays.toString(test));
for (int i = 0; i < n; ++i) {
lSum += test[i];
if (i == 0)
lSum *= mul;
res[i] = lSum;
}
return res;
}
private static long gcd(long a, long b) {
if (a % b == 0)
return b;
return gcd(b, a % b);
}
private static class IOHandler {
BufferedReader br;
StringTokenizer st;
public IOHandler() {
br = new BufferedReader(new InputStreamReader(System.in));
}
String next() {
while (st == null || !st.hasMoreElements()) {
try {
st = new StringTokenizer(br.readLine());
} catch (IOException e) {
e.printStackTrace();
}
}
return st.nextToken();
}
int nextInt() {
return Integer.parseInt(next());
}
int [] readArray(int n) {
int [] res = new int [n];
for (int i = 0; i < n; ++i)
res[i] = nextInt();
return res;
}
long nextLong() {
return Long.parseLong(next());
}
double nextDouble() {
return Double.parseDouble(next());
}
String nextLine(){
String str = "";
try {
str = br.readLine();
} catch (IOException e) {
e.printStackTrace();
}
return str;
}
}
}
|
ConDefects/ConDefects/Code/arc153_c/Java/38025158
|
condefects-java_data_1815
|
import java.io.*;
import java.util.*;
public class Main {
static Scanner sc;
static PrintWriter out;
public static void main(String[] args) {
sc = new Scanner(System.in);
out = new PrintWriter(System.out);
new Main().solve();
out.flush();
}
public void solve() {
int n = sc.nextInt();
int[] a = new int[n];
Arrays.setAll(a, i -> sc.nextInt());
if(n==1) {
out.println("Yes");
out.println("0");
return;
}
int asum = 0;
int amax = 0;
int amin = 0;
int[] cs = new int[n+1];
for(int i=0; i<n; i++) {
asum += a[i];
cs[i+1] = cs[i] + a[i];
amax = Math.max(amax, asum);
amin = Math.min(amin, asum);
}
if(n==2) {
if (asum == 0) {
out.println("No");
} else {
out.println("Yes");
out.println("-1 1");
}
return;
}
long[] res = new long[n];
if(asum == 0) {
if(amax == 0 || amin == 0 ) {
out.println("No");
return;
}
for(int i=1; i<n; i++) {
if(cs[i]==0 && cs[i-1] + cs[i+1] == 0) {
long sum = 0;
for(int j=0; j<n; j++) {
if(j<i) {
res[j] = j;
} else {
res[j] = j + n*100L;
}
sum += res[j] * a[j];
}
if(sum >= 0) {
if(a[i]==1) {
res[i]-=sum;
} else {
res[i-1]+=sum;
}
} else {
if(a[i]==1) {
res[i-1]-=sum;
} else {
res[i]+=sum;
}
}
printa(res);
return;
}
}
throw new RuntimeException();
} else {
long d = n * 2;
for(long s = -d ; s<= d; s+= d) {
long sum = 0;
for (int j = 0; j < n - 1; j++) {
long num = s + j;
res[j] = num;
sum += num * a[j];
}
res[n - 1] = -sum * a[n - 1];
if(res[n-2]<res[n-1]) {
printa(res);
return;
}
}
}
}
void printa(long[] res) {
out.println("Yes");
int n = res.length;
for (int i=0; i<n; i++) {
if (i>0) out.print(" ");
out.print(res[i]);
}
out.println();
}
}
import java.io.*;
import java.util.*;
public class Main {
static Scanner sc;
static PrintWriter out;
public static void main(String[] args) {
sc = new Scanner(System.in);
out = new PrintWriter(System.out);
new Main().solve();
out.flush();
}
public void solve() {
int n = sc.nextInt();
int[] a = new int[n];
Arrays.setAll(a, i -> sc.nextInt());
if(n==1) {
out.println("Yes");
out.println("0");
return;
}
int asum = 0;
int amax = 0;
int amin = 0;
int[] cs = new int[n+1];
for(int i=0; i<n; i++) {
asum += a[i];
cs[i+1] = cs[i] + a[i];
amax = Math.max(amax, asum);
amin = Math.min(amin, asum);
}
if(n==2) {
if (asum == 0) {
out.println("No");
} else {
out.println("Yes");
out.println("-1 1");
}
return;
}
long[] res = new long[n];
if(asum == 0) {
if(amax == 0 || amin == 0 ) {
out.println("No");
return;
}
for(int i=1; i<n; i++) {
if(cs[i]==0 && cs[i-1] + cs[i+1] == 0) {
long sum = 0;
for(int j=0; j<n; j++) {
if(j<i) {
res[j] = j;
} else {
res[j] = j + n*10000L;
}
sum += res[j] * a[j];
}
if(sum >= 0) {
if(a[i]==1) {
res[i]-=sum;
} else {
res[i-1]+=sum;
}
} else {
if(a[i]==1) {
res[i-1]-=sum;
} else {
res[i]+=sum;
}
}
printa(res);
return;
}
}
throw new RuntimeException();
} else {
long d = n * 2;
for(long s = -d ; s<= d; s+= d) {
long sum = 0;
for (int j = 0; j < n - 1; j++) {
long num = s + j;
res[j] = num;
sum += num * a[j];
}
res[n - 1] = -sum * a[n - 1];
if(res[n-2]<res[n-1]) {
printa(res);
return;
}
}
}
}
void printa(long[] res) {
out.println("Yes");
int n = res.length;
for (int i=0; i<n; i++) {
if (i>0) out.print(" ");
out.print(res[i]);
}
out.println();
}
}
|
ConDefects/ConDefects/Code/arc153_c/Java/38018364
|
condefects-java_data_1816
|
import java.util.LinkedList;
import java.util.Scanner;
/**
* @Description D
* @Author Leon
* @Date 2023/7/17
*/
public class Main {
static int MOD = 998244353;
static int MAX = (int)1E5*6;
static int[] arr = new int[MAX+1];
static {
arr[0] = 1;
for (int i = 1; i <=MAX ; i++) {
arr[i] = 10*arr[i-1]%MOD;
}
}
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int q = sc.nextInt();
LinkedList<Integer> list = new LinkedList<>();
list.addLast(1);
long cur = 1;
while (q-->0){
int x = sc.nextInt();
if(x==1){
int c = sc.nextInt();
list.addLast(c);
cur = (cur*10+ c)%MOD;
}else if(x==2){
int a = list.pop();
cur = ((cur - (long)a*arr[list.size()])%MOD + MOD)%MOD;
}else {
System.out.println(cur);
}
}
}
}
import java.util.LinkedList;
import java.util.Scanner;
/**
* @Description D
* @Author Leon
* @Date 2023/7/17
*/
public class Main {
static int MOD = 998244353;
static int MAX = (int)1E5*6;
static long[] arr = new long[MAX+1];
static {
arr[0] = 1;
for (int i = 1; i <=MAX ; i++) {
arr[i] = 10*arr[i-1]%MOD;
}
}
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int q = sc.nextInt();
LinkedList<Integer> list = new LinkedList<>();
list.addLast(1);
long cur = 1;
while (q-->0){
int x = sc.nextInt();
if(x==1){
int c = sc.nextInt();
list.addLast(c);
cur = (cur*10+ c)%MOD;
}else if(x==2){
int a = list.pop();
cur = ((cur - (long)a*arr[list.size()])%MOD + MOD)%MOD;
}else {
System.out.println(cur);
}
}
}
}
|
ConDefects/ConDefects/Code/abc298_d/Java/44808654
|
condefects-java_data_1817
|
import java.io.*;
import java.util.LinkedList;
import java.util.StringTokenizer;
public class Main {
public static Reader in;
public static PrintWriter out;
public static void main(String[] args) {
out = new PrintWriter(new BufferedOutputStream(System.out));
in = new Reader();
fk();
out.close();
}
static class Reader {
private BufferedReader br;
private StringTokenizer st;
Reader() {
br = new BufferedReader(new InputStreamReader(System.in));
}
String next() {
try {
while (st == null || !st.hasMoreTokens()) {
st = new StringTokenizer(br.readLine());
}
} catch (IOException e) {
e.printStackTrace();
}
return st.nextToken();
}
int nextInt() {
return Integer.parseInt(next());
}
int[] nextIntArray(int n) {
int[] arr = new int[n];
for (int i = 0; i < n; i++) {
arr[i] = nextInt();
}
return arr;
}
long nextLong() {
return Long.parseLong(next());
}
String nextLine() {
String s = "";
try {
s = br.readLine();
} catch (IOException e) {
e.printStackTrace();
}
return s;
}
}
static int mod = 998244353;
static void fk() {
int q = in.nextInt();
long cur = 1;
LinkedList<Long> dq = new LinkedList<>();
dq.add(1L);
for (int i = 0; i < q; i++) {
int c = in.nextInt();
if (c == 1) {
long cv = in.nextLong();
cur = (cur * 10 + cv) % mod;
dq.add(cv);
} else if (c == 2) {
long fv = dq.pollFirst();
cur = (cur - (fv * powWithMod(10, dq.size(), mod)) + mod) % mod;
} else {
out.println(cur);
}
}
}
/**
* 快速幂
*
* @param a
* @param b
* @param mod
* @return
*/
static long powWithMod(long a, long b, int mod) {
if (b == 0) return 1;
long res = powWithMod(a, b / 2, mod);
if ((b & 1) == 0) {
res = (res * res);
} else {
res = ((res * res) % mod) * a;
}
return res % mod;
}
}
import java.io.*;
import java.util.LinkedList;
import java.util.StringTokenizer;
public class Main {
public static Reader in;
public static PrintWriter out;
public static void main(String[] args) {
out = new PrintWriter(new BufferedOutputStream(System.out));
in = new Reader();
fk();
out.close();
}
static class Reader {
private BufferedReader br;
private StringTokenizer st;
Reader() {
br = new BufferedReader(new InputStreamReader(System.in));
}
String next() {
try {
while (st == null || !st.hasMoreTokens()) {
st = new StringTokenizer(br.readLine());
}
} catch (IOException e) {
e.printStackTrace();
}
return st.nextToken();
}
int nextInt() {
return Integer.parseInt(next());
}
int[] nextIntArray(int n) {
int[] arr = new int[n];
for (int i = 0; i < n; i++) {
arr[i] = nextInt();
}
return arr;
}
long nextLong() {
return Long.parseLong(next());
}
String nextLine() {
String s = "";
try {
s = br.readLine();
} catch (IOException e) {
e.printStackTrace();
}
return s;
}
}
static int mod = 998244353;
static void fk() {
int q = in.nextInt();
long cur = 1;
LinkedList<Long> dq = new LinkedList<>();
dq.add(1L);
for (int i = 0; i < q; i++) {
int c = in.nextInt();
if (c == 1) {
long cv = in.nextLong();
cur = (cur * 10 + cv) % mod;
dq.add(cv);
} else if (c == 2) {
long fv = dq.pollFirst();
cur = (cur - (fv * powWithMod(10, dq.size(), mod)) % mod + mod) % mod;
} else {
out.println(cur);
}
}
}
/**
* 快速幂
*
* @param a
* @param b
* @param mod
* @return
*/
static long powWithMod(long a, long b, int mod) {
if (b == 0) return 1;
long res = powWithMod(a, b / 2, mod);
if ((b & 1) == 0) {
res = (res * res);
} else {
res = ((res * res) % mod) * a;
}
return res % mod;
}
}
|
ConDefects/ConDefects/Code/abc298_d/Java/44825916
|
condefects-java_data_1818
|
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Comparator;
import java.util.HashMap;
import java.util.HashSet;
import java.util.LinkedList;
import java.util.List;
import java.util.Map;
import java.util.PriorityQueue;
import java.util.Queue;
import java.util.Scanner;
import java.util.Set;
public class Main {
static BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
static PrintWriter pw=new PrintWriter(new OutputStreamWriter(System.out));
public static void main(String[] args) throws IOException {
solve01();
// solve02();
// solve03();
pw.flush();
}
static long[] p=new long[600001];
static int base=998244353;
static {
p[0]=1;
for(int i=1;i<=600000;i++) {
p[i]=p[i-1]*10%base;
}
}
private static void solve01() throws IOException {
String[] s=br.readLine().split(" ");
int q=Integer.parseInt(s[0]);
LinkedList<Integer> l=new LinkedList<Integer>();
long ans=1;
l.add(1);
for(;q>0;q--) {
s=br.readLine().split(" ");
int k=Integer.parseInt(s[0]);
if(k==1) {
int t=Integer.parseInt(s[1]);
l.add(t);
ans=(ans*10%base+t)%base;
}
else if(k==2) {
int t=l.pollFirst();
ans=(ans-t*p[l.size()]+base)%base;
}
else {
pw.println(ans);
}
}
}
}
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Comparator;
import java.util.HashMap;
import java.util.HashSet;
import java.util.LinkedList;
import java.util.List;
import java.util.Map;
import java.util.PriorityQueue;
import java.util.Queue;
import java.util.Scanner;
import java.util.Set;
public class Main {
static BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
static PrintWriter pw=new PrintWriter(new OutputStreamWriter(System.out));
public static void main(String[] args) throws IOException {
solve01();
// solve02();
// solve03();
pw.flush();
}
static long[] p=new long[600001];
static int base=998244353;
static {
p[0]=1;
for(int i=1;i<=600000;i++) {
p[i]=p[i-1]*10%base;
}
}
private static void solve01() throws IOException {
String[] s=br.readLine().split(" ");
int q=Integer.parseInt(s[0]);
LinkedList<Integer> l=new LinkedList<Integer>();
long ans=1;
l.add(1);
for(;q>0;q--) {
s=br.readLine().split(" ");
int k=Integer.parseInt(s[0]);
if(k==1) {
int t=Integer.parseInt(s[1]);
l.add(t);
ans=(ans*10%base+t)%base;
}
else if(k==2) {
int t=l.pollFirst();
ans=(ans-t*p[l.size()]%base+base)%base;
}
else {
pw.println(ans);
}
}
}
}
|
ConDefects/ConDefects/Code/abc298_d/Java/41663455
|
condefects-java_data_1819
|
import java.util.Deque;
import java.util.LinkedList;
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int n = (int) 1e6;
long[] mi = new long[n];//mi[i] = 10 ^ i
int mod = 998244353;
mi[0] = 1;
for (int i = 1; i < n; i++) {
mi[i] = mi[i - 1] * 10;
mi[i] %= mod;
}
long ans = 1;
Deque<Integer> deque = new LinkedList<>();
deque.push(1);
int q = sc.nextInt();
for (int i = 0; i < q; i++) {
int t = sc.nextInt();
if (t == 1) {//末尾添加一个数
int d = sc.nextInt();
deque.push(d);
ans = ans * 10 + d;
ans %= mod;
} else if (t == 2) {//开头删除一个数
int size = deque.size();
int d = deque.pollLast();
ans -= d * mi[size - 1];
ans += mod;
ans %= mod;
} else {//输出当前数
System.out.println(ans);
}
}
}
}
import java.util.Deque;
import java.util.LinkedList;
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int n = (int) 1e6;
long[] mi = new long[n];//mi[i] = 10 ^ i
int mod = 998244353;
mi[0] = 1;
for (int i = 1; i < n; i++) {
mi[i] = mi[i - 1] * 10;
mi[i] %= mod;
}
long ans = 1;
Deque<Integer> deque = new LinkedList<>();
deque.push(1);
int q = sc.nextInt();
for (int i = 0; i < q; i++) {
int t = sc.nextInt();
if (t == 1) {//末尾添加一个数
int d = sc.nextInt();
deque.push(d);
ans = ans * 10 + d;
ans %= mod;
} else if (t == 2) {//开头删除一个数
int size = deque.size();
int d = deque.pollLast();
ans -= d * mi[size - 1];
ans += mod;
ans %= mod;
} else {//输出当前数
System.out.println((ans + mod) % mod);
}
}
}
}
|
ConDefects/ConDefects/Code/abc298_d/Java/44812116
|
condefects-java_data_1820
|
import java.util.*;
import java.io.*;
import java.util.function.*;
import java.util.stream.*;
public final class Main {
private static final Scanner scanner;
private static final PrintWriter writer;
static {
scanner = new Scanner(System.in);
writer = new PrintWriter(System.out);
}
public static final void main(String[] args) {
final long PRIME = 998244353;
List<Integer> sary = new ArrayList<>();
sary.add(1);
long s = 1;
int headIdx = 0;
int colCount = 1;
final int Q = getNextInt();
for (int qidx = 0; qidx < Q; qidx++) {
switch (getNextInt()) {
case 1: {
final int x = getNextInt();
sary.add(x);
s *= 10;
s += x;
s %= PRIME;
colCount++;
}
break;
case 2:{
long sub = pow(10, colCount - 1, PRIME) * sary.get(headIdx++) % PRIME;
s -= sub;
if(s < 0) {
s += PRIME;
}
}
break;
case 3:{
println(s);
}
break;
default:
}
}
flush();
}
private static final int bitCount(int pattern, int stopBit) {
int ret = 0;
for (int i = 0; 1 << i < stopBit; i++) {
if ((pattern & (1 << i)) != 0) {
ret++;
}
}
return ret;
}
private static final int max(int... arg) {
return Arrays.stream(arg).max().orElse(0);
}
private static final int min(int... arg) {
return Arrays.stream(arg).min().orElse(0);
}
private static final int pow(int x, int p) {
int r = 1;
for (int i = 0; (1 << i) <= p; i++) {
if ((p & (1 << i)) != 0) {
r *= x;
}
x *= x;
}
return r;
}
private static final long max(long... arg) {
return Arrays.stream(arg).max().orElse(0);
}
private static final long min(long... arg) {
return Arrays.stream(arg).min().orElse(0);
}
private static final long pow(long x, int p) {
long r = 1;
for (int i = 0; (1 << i) <= p; i++) {
if ((p & (1 << i)) != 0) {
r *= x;
}
x *= x;
}
return r;
}
private static final long pow(long x, int p, long div) {
long r = 1;
for (int i = 0; (1 << i) <= p; i++) {
if ((p & (1 << i)) != 0) {
r *= x;
r %= div;
}
x *= x;
x %= div;
}
return r;
}
private static final short max(short a, short b) {
return a < b ? b : a;
}
private static final short min(short a, short b) {
return a > b ? b : a;
}
private static final String getNext() {
return scanner.next();
}
private static final int getNextInt() {
return Integer.parseInt(scanner.next());
}
private static final long getNextLong() {
return Long.parseLong(scanner.next());
}
private static final double getNextDouble() {
return Double.parseDouble(scanner.next());
}
private static final int[] getIntArray(int length) {
return getIntArray(length, v -> v);
}
private static final int[] getIntArray(int length, IntUnaryOperator mapper) {
return IntStream.generate(() -> getNextInt()).limit(length).map(mapper).toArray();
}
private static final long[] getLongArray(int length) {
return getLongArray(length, v -> v);
}
private static final long[] getLongArray(int length, LongUnaryOperator mapper) {
return LongStream.generate(() -> getNextLong()).limit(length).map(mapper).toArray();
}
private static final int[][] get2dIntArray(int rows, int cols) {
return get2dIntArray(rows, cols, v -> v);
}
private static final int[][] get2dIntArray(int rows, int cols, IntUnaryOperator mapper) {
return Stream.generate(() -> getIntArray(cols, mapper)).limit(rows).toArray(int[][]::new);
}
private static final long[][] get2dLongArray(int rows, int cols) {
return get2dLongArray(rows, cols, v -> v);
}
private static final long[][] get2dLongArray(int rows, int cols, LongUnaryOperator mapper) {
return Stream.generate(() -> getLongArray(cols, mapper)).limit(rows).toArray(long[][]::new);
}
private static final void print(int[] argi) {
Arrays.stream(argi).forEach(i -> print(String.valueOf(i) + " "));
}
private static final void print(Object obj) {
writer.print(obj);
}
private static final void print(Object... arg) {
Arrays.stream(arg).forEach(obj -> print(obj));
}
private static final void println(int[] argi) {
print(argi);
println();
}
private static final void println(Object obj) {
print(obj);
println();
}
private static final void println(Object... arg) {
print(arg);
println();
}
private static final void println() {
writer.println();
}
private static final void flush() {
writer.flush();
}
}
import java.util.*;
import java.io.*;
import java.util.function.*;
import java.util.stream.*;
public final class Main {
private static final Scanner scanner;
private static final PrintWriter writer;
static {
scanner = new Scanner(System.in);
writer = new PrintWriter(System.out);
}
public static final void main(String[] args) {
final long PRIME = 998244353;
List<Integer> sary = new ArrayList<>();
sary.add(1);
long s = 1;
int headIdx = 0;
int colCount = 1;
final int Q = getNextInt();
for (int qidx = 0; qidx < Q; qidx++) {
switch (getNextInt()) {
case 1: {
final int x = getNextInt();
sary.add(x);
s *= 10;
s += x;
s %= PRIME;
colCount++;
}
break;
case 2:{
long sub = pow(10, --colCount, PRIME) * sary.get(headIdx++) % PRIME;
s -= sub;
if(s < 0) {
s += PRIME;
}
}
break;
case 3:{
println(s);
}
break;
default:
}
}
flush();
}
private static final int bitCount(int pattern, int stopBit) {
int ret = 0;
for (int i = 0; 1 << i < stopBit; i++) {
if ((pattern & (1 << i)) != 0) {
ret++;
}
}
return ret;
}
private static final int max(int... arg) {
return Arrays.stream(arg).max().orElse(0);
}
private static final int min(int... arg) {
return Arrays.stream(arg).min().orElse(0);
}
private static final int pow(int x, int p) {
int r = 1;
for (int i = 0; (1 << i) <= p; i++) {
if ((p & (1 << i)) != 0) {
r *= x;
}
x *= x;
}
return r;
}
private static final long max(long... arg) {
return Arrays.stream(arg).max().orElse(0);
}
private static final long min(long... arg) {
return Arrays.stream(arg).min().orElse(0);
}
private static final long pow(long x, int p) {
long r = 1;
for (int i = 0; (1 << i) <= p; i++) {
if ((p & (1 << i)) != 0) {
r *= x;
}
x *= x;
}
return r;
}
private static final long pow(long x, int p, long div) {
long r = 1;
for (int i = 0; (1 << i) <= p; i++) {
if ((p & (1 << i)) != 0) {
r *= x;
r %= div;
}
x *= x;
x %= div;
}
return r;
}
private static final short max(short a, short b) {
return a < b ? b : a;
}
private static final short min(short a, short b) {
return a > b ? b : a;
}
private static final String getNext() {
return scanner.next();
}
private static final int getNextInt() {
return Integer.parseInt(scanner.next());
}
private static final long getNextLong() {
return Long.parseLong(scanner.next());
}
private static final double getNextDouble() {
return Double.parseDouble(scanner.next());
}
private static final int[] getIntArray(int length) {
return getIntArray(length, v -> v);
}
private static final int[] getIntArray(int length, IntUnaryOperator mapper) {
return IntStream.generate(() -> getNextInt()).limit(length).map(mapper).toArray();
}
private static final long[] getLongArray(int length) {
return getLongArray(length, v -> v);
}
private static final long[] getLongArray(int length, LongUnaryOperator mapper) {
return LongStream.generate(() -> getNextLong()).limit(length).map(mapper).toArray();
}
private static final int[][] get2dIntArray(int rows, int cols) {
return get2dIntArray(rows, cols, v -> v);
}
private static final int[][] get2dIntArray(int rows, int cols, IntUnaryOperator mapper) {
return Stream.generate(() -> getIntArray(cols, mapper)).limit(rows).toArray(int[][]::new);
}
private static final long[][] get2dLongArray(int rows, int cols) {
return get2dLongArray(rows, cols, v -> v);
}
private static final long[][] get2dLongArray(int rows, int cols, LongUnaryOperator mapper) {
return Stream.generate(() -> getLongArray(cols, mapper)).limit(rows).toArray(long[][]::new);
}
private static final void print(int[] argi) {
Arrays.stream(argi).forEach(i -> print(String.valueOf(i) + " "));
}
private static final void print(Object obj) {
writer.print(obj);
}
private static final void print(Object... arg) {
Arrays.stream(arg).forEach(obj -> print(obj));
}
private static final void println(int[] argi) {
print(argi);
println();
}
private static final void println(Object obj) {
print(obj);
println();
}
private static final void println(Object... arg) {
print(arg);
println();
}
private static final void println() {
writer.println();
}
private static final void flush() {
writer.flush();
}
}
|
ConDefects/ConDefects/Code/abc298_d/Java/43443741
|
condefects-java_data_1821
|
import java.util.*;
import java.io.*;
import java.math.*;
public class Main {
public static void main(String[] args) throws Exception {
new Solution().solve();
}
}
class Solution {
Read sc = new Read();
public void solve() throws IOException {
int T = 1;
int mod = 998244353;
long ivn10 = qmi(10, mod - 2, mod);
while (T -- > 0) {
int q = sc.nextInt();
long x = 1;
Deque<Long> queue = new ArrayDeque<>();
queue.offerFirst(x);
long mul = 1;
for (int i = 0; i < q; i++) {
int type = sc.nextInt();
if (type == 1) {
mul *= 10;
mul %= mod;
int b = sc.nextInt();
queue.offerLast((long)b);
x *= 10;
x += b;
x %= mod;
}else if (type == 2) {
long t = queue.pollFirst();
x = (x - (t * mul % mod) + mod) % mod;
mul *= ivn10;
mul %= mod;
}else {
sc.println(x);
}
}
}
sc.bw.flush();
sc.bw.close();
}
private long qmi(int a, int p, int mod) {
long res = 1;
while (p > 0) {
if ((p & 1) == 1) res = res * a % mod;
p >>= 1;
a = (int)((long)a * a) % mod;
}
return res;
}
}
class Read{
BufferedReader bf;
StringTokenizer st;
BufferedWriter bw;
public Read(){
bf=new BufferedReader(new InputStreamReader(System.in));
st=new StringTokenizer("");
bw=new BufferedWriter(new OutputStreamWriter(System.out));
}
public String nextLine() throws IOException{
return bf.readLine();
}
public String next() throws IOException{
while(!st.hasMoreTokens()){
st=new StringTokenizer(bf.readLine());
}
return st.nextToken();
}
public char nextChar() throws IOException{
//确定下一个token只有一个字符的时候再用
return next().charAt(0);
}
public int nextInt() throws IOException{
return Integer.parseInt(next());
}
public long nextLong() throws IOException{
return Long.parseLong(next());
}
public double nextDouble() throws IOException{
return Double.parseDouble(next());
}
public float nextFloat() throws IOException{
return Float.parseFloat(next());
}
public byte nextByte() throws IOException{
return Byte.parseByte(next());
}
public short nextShort() throws IOException{
return Short.parseShort(next());
}
public BigInteger nextBigInteger() throws IOException{
return new BigInteger(next());
}
public void println() throws IOException {
bw.newLine();
}
public void println(int[] arr) throws IOException{
for (int value : arr) {
bw.write(value + " ");
}
println();
}
public void println(int l, int r, int[] arr) throws IOException{
for (int i = l; i <= r; i ++) {
bw.write(arr[i] + " ");
}
println();
}
public void println(int a) throws IOException{
bw.write(String.valueOf(a));
bw.newLine();
}
public void print(int a) throws IOException{
bw.write(String.valueOf(a));
}
public void println(String a) throws IOException{
bw.write(a);
bw.newLine();
}
public void print(String a) throws IOException{
bw.write(a);
}
public void println(long a) throws IOException{
bw.write(String.valueOf(a));
bw.newLine();
}
public void print(long a) throws IOException{
bw.write(String.valueOf(a));
}
public void println(double a) throws IOException{
bw.write(String.valueOf(a));
bw.newLine();
}
public void print(double a) throws IOException{
bw.write(String.valueOf(a));
}
public void print(char a) throws IOException{
bw.write(String.valueOf(a));
}
public void println(char a) throws IOException{
bw.write(String.valueOf(a));
bw.newLine();
}
}
import java.util.*;
import java.io.*;
import java.math.*;
public class Main {
public static void main(String[] args) throws Exception {
new Solution().solve();
}
}
class Solution {
Read sc = new Read();
public void solve() throws IOException {
int T = 1;
int mod = 998244353;
long ivn10 = qmi(10, mod - 2, mod);
while (T -- > 0) {
int q = sc.nextInt();
long x = 1;
Deque<Long> queue = new ArrayDeque<>();
queue.offerFirst(x);
long mul = 1;
for (int i = 0; i < q; i++) {
int type = sc.nextInt();
if (type == 1) {
mul *= 10;
mul %= mod;
int b = sc.nextInt();
queue.offerLast((long)b);
x *= 10;
x += b;
x %= mod;
}else if (type == 2) {
long t = queue.pollFirst();
x = (x - (t * mul % mod) + mod) % mod;
mul *= ivn10;
mul %= mod;
}else {
sc.println(x);
}
}
}
sc.bw.flush();
sc.bw.close();
}
private long qmi(int a, int p, int mod) {
long res = 1;
while (p > 0) {
if ((p & 1) == 1) res = res * a % mod;
p >>= 1;
a = (int)(((long)a * a) % mod);
}
return res;
}
}
class Read{
BufferedReader bf;
StringTokenizer st;
BufferedWriter bw;
public Read(){
bf=new BufferedReader(new InputStreamReader(System.in));
st=new StringTokenizer("");
bw=new BufferedWriter(new OutputStreamWriter(System.out));
}
public String nextLine() throws IOException{
return bf.readLine();
}
public String next() throws IOException{
while(!st.hasMoreTokens()){
st=new StringTokenizer(bf.readLine());
}
return st.nextToken();
}
public char nextChar() throws IOException{
//确定下一个token只有一个字符的时候再用
return next().charAt(0);
}
public int nextInt() throws IOException{
return Integer.parseInt(next());
}
public long nextLong() throws IOException{
return Long.parseLong(next());
}
public double nextDouble() throws IOException{
return Double.parseDouble(next());
}
public float nextFloat() throws IOException{
return Float.parseFloat(next());
}
public byte nextByte() throws IOException{
return Byte.parseByte(next());
}
public short nextShort() throws IOException{
return Short.parseShort(next());
}
public BigInteger nextBigInteger() throws IOException{
return new BigInteger(next());
}
public void println() throws IOException {
bw.newLine();
}
public void println(int[] arr) throws IOException{
for (int value : arr) {
bw.write(value + " ");
}
println();
}
public void println(int l, int r, int[] arr) throws IOException{
for (int i = l; i <= r; i ++) {
bw.write(arr[i] + " ");
}
println();
}
public void println(int a) throws IOException{
bw.write(String.valueOf(a));
bw.newLine();
}
public void print(int a) throws IOException{
bw.write(String.valueOf(a));
}
public void println(String a) throws IOException{
bw.write(a);
bw.newLine();
}
public void print(String a) throws IOException{
bw.write(a);
}
public void println(long a) throws IOException{
bw.write(String.valueOf(a));
bw.newLine();
}
public void print(long a) throws IOException{
bw.write(String.valueOf(a));
}
public void println(double a) throws IOException{
bw.write(String.valueOf(a));
bw.newLine();
}
public void print(double a) throws IOException{
bw.write(String.valueOf(a));
}
public void print(char a) throws IOException{
bw.write(String.valueOf(a));
}
public void println(char a) throws IOException{
bw.write(String.valueOf(a));
bw.newLine();
}
}
|
ConDefects/ConDefects/Code/abc298_d/Java/44848779
|
condefects-java_data_1822
|
import java.util.Scanner;
class Main{
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int x = sc.nextInt();
if(x%100 == 0) {
System.out.println("Yes");
}else {
System.out.println("No");
}
sc.close();
}
}
import java.util.Scanner;
class Main{
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int x = sc.nextInt();
if(x%100 == 0&&x != 0) {
System.out.println("Yes");
}else {
System.out.println("No");
}
sc.close();
}
}
|
ConDefects/ConDefects/Code/abc223_a/Java/36337380
|
condefects-java_data_1823
|
import java.util.*;
public class Main{
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int x = sc.nextInt();
if(x < 100) {
System.out.println("No");
}else {
System.out.println("Yes");
}
sc.close();
}
}
import java.util.*;
public class Main{
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int x = sc.nextInt();
if(x == 0 || x % 100 != 0) {
System.out.println("No");
}else {
System.out.println("Yes");
}
sc.close();
}
}
|
ConDefects/ConDefects/Code/abc223_a/Java/31762060
|
condefects-java_data_1824
|
import java.util.*;
import java.io.*;
public class Main {
private static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
private static PrintWriter out = new PrintWriter(System.out);
//解答作成用
public static void solve() throws IOException{
// io
int x = Convert.str2int(IO.input_string());
String result ="No";
if(x%100==0){
result = "Yes";
}
System.out.println(result);
}
public static void main(String[] args) throws IOException {
solve();
out.flush();
}
static class IO {
public static char input_char() throws IOException {
Scanner sc = new Scanner(System.in);
return sc.next().charAt(0);
}
public static String input_string() throws IOException {
return br.readLine();
}
public static String[] input_n_array() throws IOException {
return br.readLine().split("");
}
public static String[] input_b_array() throws IOException {
return br.readLine().split(" ");
}
public static String[] input_c_array() throws IOException {
return br.readLine().split("\\.");
}
public static String[][] input_matrix(String[] str_array) throws IOException{
int len = Convert.str2int(str_array[0]);
String[][] matrix = new String[len][];
for(int i=0;i<len;i++){
matrix[i]=input_b_array();
}
return matrix;
}
public static void output_array(String[] str_array){
for(String str:str_array){
out.printf(str + " ");
}
out.println();
}
public static void output_array(int[] int_array){
for(int i:int_array){
out.printf(i + " ");
}
out.println();
}
}
static class Convert {
public static int str2int(String str){
return Integer.parseInt(str);
}
public static int[] str2int(String[] str_array){
return Arrays.stream(str_array).mapToInt(Integer::parseInt).toArray();
}
}
}
import java.util.*;
import java.io.*;
public class Main {
private static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
private static PrintWriter out = new PrintWriter(System.out);
//解答作成用
public static void solve() throws IOException{
// io
int x = Convert.str2int(IO.input_string());
String result ="No";
if(x%100==0&&x!=0){
result = "Yes";
}
System.out.println(result);
}
public static void main(String[] args) throws IOException {
solve();
out.flush();
}
static class IO {
public static char input_char() throws IOException {
Scanner sc = new Scanner(System.in);
return sc.next().charAt(0);
}
public static String input_string() throws IOException {
return br.readLine();
}
public static String[] input_n_array() throws IOException {
return br.readLine().split("");
}
public static String[] input_b_array() throws IOException {
return br.readLine().split(" ");
}
public static String[] input_c_array() throws IOException {
return br.readLine().split("\\.");
}
public static String[][] input_matrix(String[] str_array) throws IOException{
int len = Convert.str2int(str_array[0]);
String[][] matrix = new String[len][];
for(int i=0;i<len;i++){
matrix[i]=input_b_array();
}
return matrix;
}
public static void output_array(String[] str_array){
for(String str:str_array){
out.printf(str + " ");
}
out.println();
}
public static void output_array(int[] int_array){
for(int i:int_array){
out.printf(i + " ");
}
out.println();
}
}
static class Convert {
public static int str2int(String str){
return Integer.parseInt(str);
}
public static int[] str2int(String[] str_array){
return Arrays.stream(str_array).mapToInt(Integer::parseInt).toArray();
}
}
}
|
ConDefects/ConDefects/Code/abc223_a/Java/36006854
|
condefects-java_data_1825
|
import java.util.*;
public class Main {
public static void main(String[] args) throws Exception {
Scanner sc = new Scanner(System.in);
int X = sc.nextInt();
if( X%100 == 0 ) System.out.println("Yes");
else System.out.println("No");
}
}
import java.util.*;
public class Main {
public static void main(String[] args) throws Exception {
Scanner sc = new Scanner(System.in);
int X = sc.nextInt();
if( X%100 == 0 && X > 0 ) System.out.println("Yes");
else System.out.println("No");
}
}
|
ConDefects/ConDefects/Code/abc223_a/Java/31150133
|
condefects-java_data_1826
|
import java.util.*;
public class Main {
public static HashSet<String> set = new HashSet<>();
public static void main(String[] args) throws Exception {
Scanner sc = new Scanner(System.in);
int x = sc.nextInt();
if(x%100==0)System.out.println("Yes");
else System.out.println("No");
sc.close();
}
}
import java.util.*;
public class Main {
public static HashSet<String> set = new HashSet<>();
public static void main(String[] args) throws Exception {
Scanner sc = new Scanner(System.in);
int x = sc.nextInt();
if(x%100==0 && x!=0)System.out.println("Yes");
else System.out.println("No");
sc.close();
}
}
|
ConDefects/ConDefects/Code/abc223_a/Java/35164437
|
condefects-java_data_1827
|
import java.util.Scanner;
public class Main
{
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int x = sc.nextInt();
if(x%100==0)
System.out.println("Yes");
else
System.out.println("No");
}
}
import java.util.Scanner;
public class Main
{
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int x = sc.nextInt();
if(x%100==0&&x!=0)
System.out.println("Yes");
else
System.out.println("No");
}
}
|
ConDefects/ConDefects/Code/abc223_a/Java/36844497
|
condefects-java_data_1828
|
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int en = sc.nextInt();
if (en < 100) {
System.out.println("No");
} else {
System.out.println("Yes");
}
}
}
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int en = sc.nextInt();
if (en < 100) {
System.out.println("No");
} else if (en % 100 != 0) {
System.out.println("No");
} else {
System.out.println("Yes");
}
}
}
|
ConDefects/ConDefects/Code/abc223_a/Java/35856161
|
condefects-java_data_1829
|
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner scan = new Scanner(System.in);
int X = scan.nextInt();
String result = "";
if(X == 0) {
result = "No";
} else if(X < 100) {
result = "No";
} else if(X > 100 && X % 100 ==0) {
result = "Yes";
}
System.out.println(result);
}
}
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner scan = new Scanner(System.in);
int X = scan.nextInt();
String result = "";
if(X == 0) {
result = "No";
} else if(X < 100 || (X > 100 && X % 100 != 0)) {
result = "No";
} else if(X > 100 && X % 100 ==0) {
result = "Yes";
}
System.out.println(result);
}
}
|
ConDefects/ConDefects/Code/abc223_a/Java/35826648
|
condefects-java_data_1830
|
import java.util.*;
public class Main {
public static void main(String[] args) {
IOHandler io = new IOHandler();
String x = io.nextStr();
io.close();
io.output(x.matches("[1-9]{1,}00") ? "Yes" : "No");
}
private static class IOHandler {
private Scanner sc = new Scanner(System.in);
private void close() {this.sc.close();}
private String nextStr() {return this.sc.next();}
private <T> void output(T result) {System.out.println(result);}
}
}
import java.util.*;
public class Main {
public static void main(String[] args) {
IOHandler io = new IOHandler();
String x = io.nextStr();
io.close();
io.output(x.matches("[0-9]{1,}00") ? "Yes" : "No");
}
private static class IOHandler {
private Scanner sc = new Scanner(System.in);
private void close() {this.sc.close();}
private String nextStr() {return this.sc.next();}
private <T> void output(T result) {System.out.println(result);}
}
}
|
ConDefects/ConDefects/Code/abc223_a/Java/37414176
|
condefects-java_data_1831
|
import java.util.Scanner;
public class Main {//A - Exact Price
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int x = sc.nextInt();
String result = "";
if(x % 100 == 0) {
result = "Yes";
}else {
result = "No";
}
System.out.println(result);
}
}
import java.util.Scanner;
public class Main {//A - Exact Price
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int x = sc.nextInt();
String result = "";
if(x % 100 == 0 && x != 0) {
result = "Yes";
}else {
result = "No";
}
System.out.println(result);
}
}
|
ConDefects/ConDefects/Code/abc223_a/Java/35827798
|
condefects-java_data_1832
|
import java.util.*;
public class Main {
public static void main (String[]args) {
Scanner scan=new Scanner(System.in);
int c= scan.nextInt();
int s=c%100;
if(s==0){
System.out.println("Yes");
}else{
System.out.println("No");
}
}
}
import java.util.*;
public class Main {
public static void main (String[]args) {
Scanner scan=new Scanner(System.in);
int c= scan.nextInt();
int s=c%100;
if(s==0&&c>0){
System.out.println("Yes");
}else{
System.out.println("No");
}
}
}
|
ConDefects/ConDefects/Code/abc223_a/Java/35363685
|
condefects-java_data_1833
|
import java.io.BufferedReader;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.nio.Buffer;
/*
* Solution: 1m
* Coding: 4m
* Time: 5m
*
*/
public class Main {
public static void main(String[] args) throws IOException {
//BufferedReader br = new BufferedReader(new FileReader("atcoder_abc/input.in"));
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
int x = Integer.parseInt(br.readLine());
if(x % 100 == 0){
System.out.println("Yes");
} else {
System.out.println("No");
}
br.close();
}
}
import java.io.BufferedReader;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.nio.Buffer;
/*
* Solution: 1m
* Coding: 4m
* Time: 5m
*
*/
public class Main {
public static void main(String[] args) throws IOException {
//BufferedReader br = new BufferedReader(new FileReader("atcoder_abc/input.in"));
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
int x = Integer.parseInt(br.readLine());
if(x % 100 == 0 && x != 0){
System.out.println("Yes");
} else {
System.out.println("No");
}
br.close();
}
}
|
ConDefects/ConDefects/Code/abc223_a/Java/40575091
|
condefects-java_data_1834
|
import java.util.*;
public class Main {
public static void main(String[] args) throws Exception {
// Your code here!
Scanner in = new Scanner(System.in);
int X = in.nextInt();
System.out.println((X >= 100) ? "Yes":"No");
}
}
import java.util.*;
public class Main {
public static void main(String[] args) throws Exception {
// Your code here!
Scanner in = new Scanner(System.in);
int X = in.nextInt();
System.out.println((X%100 == 0 && X != 0) ? "Yes":"No");
}
}
|
ConDefects/ConDefects/Code/abc223_a/Java/31487156
|
condefects-java_data_1835
|
import java.util.Arrays;
import java.util.PriorityQueue;
import java.util.Scanner;
class Node {
int u;
long d;
public Node(int _u, long _d) {
u = _u;
d = _d;
}
}
public class Main {
private static int n;
private static int[] head, edge, ne, cost;
private static long[] dis;
private static int idx;
private static void graph_init(int n, int m) {
idx = 1;
head = new int[n];
dis = new long[n];
edge = new int[m];
ne = new int[m];
cost = new int[m];
}
private static void add(int u, int v, int w) {
edge[idx] = v;
cost[idx] = v;
ne[idx] = head[u];
head[u] = idx++;
}
private static long dijkstra() {
Arrays.fill(dis, 0x3f3f3f3f3f3f3f3fl);
dis[1] = 0;
PriorityQueue<Node> heap = new PriorityQueue<>((x, y) -> Long.compare(x.d, y.d));
heap.add(new Node(1, 0));
while (!heap.isEmpty()) {
Node p = heap.remove();
int u = p.u;
long d = p.d;
if (d > dis[u])
continue;
for (int i = head[u]; i > 0; i = ne[i]) {
int v = edge[i];
long nd = d + cost[i];
if (nd < dis[v]) {
dis[v] = nd;
heap.add(new Node(v, nd));
}
}
}
return dis[n];
}
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
n = in.nextInt();
graph_init(n + 1, 2 * n);
for (int i = 1, a, b, x; i < n; i++) {
a = in.nextInt();
b = in.nextInt();
x = in.nextInt();
add(i, i + 1, a);
add(i, x, b);
}
System.out.println(dijkstra());
in.close();
}
}
import java.util.Arrays;
import java.util.PriorityQueue;
import java.util.Scanner;
class Node {
int u;
long d;
public Node(int _u, long _d) {
u = _u;
d = _d;
}
}
public class Main {
private static int n;
private static int[] head, edge, ne, cost;
private static long[] dis;
private static int idx;
private static void graph_init(int n, int m) {
idx = 1;
head = new int[n];
dis = new long[n];
edge = new int[m];
ne = new int[m];
cost = new int[m];
}
private static void add(int u, int v, int w) {
edge[idx] = v;
cost[idx] = w;
ne[idx] = head[u];
head[u] = idx++;
}
private static long dijkstra() {
Arrays.fill(dis, 0x3f3f3f3f3f3f3f3fl);
dis[1] = 0;
PriorityQueue<Node> heap = new PriorityQueue<>((x, y) -> Long.compare(x.d, y.d));
heap.add(new Node(1, 0));
while (!heap.isEmpty()) {
Node p = heap.remove();
int u = p.u;
long d = p.d;
if (d > dis[u])
continue;
for (int i = head[u]; i > 0; i = ne[i]) {
int v = edge[i];
long nd = d + cost[i];
if (nd < dis[v]) {
dis[v] = nd;
heap.add(new Node(v, nd));
}
}
}
return dis[n];
}
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
n = in.nextInt();
graph_init(n + 1, 2 * n);
for (int i = 1, a, b, x; i < n; i++) {
a = in.nextInt();
b = in.nextInt();
x = in.nextInt();
add(i, i + 1, a);
add(i, x, b);
}
System.out.println(dijkstra());
in.close();
}
}
|
ConDefects/ConDefects/Code/abc340_d/Java/51258211
|
condefects-java_data_1836
|
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.ArrayList;
public class Main {
public static void main(String[] args) {
String str1;
try {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
str1 = br.readLine();
}catch (Exception e) {
System.out.println("Input Error!!");
return;
}
String[] sa = str1.split(" ");
ArrayList<Integer> il = new ArrayList<Integer>();
for(String s:sa) {
il.add(Integer.parseInt(s));
}
aGeneralizedABC(il);
}
private static void aGeneralizedABC(ArrayList<Integer> il) {
String abcString = "ABCDEFGHIJKLMNOPQURSTUVWXYZ";
String ans = abcString.substring(0,il.get(0));
System.out.println(ans);
}
}
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.ArrayList;
public class Main {
public static void main(String[] args) {
String str1;
try {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
str1 = br.readLine();
}catch (Exception e) {
System.out.println("Input Error!!");
return;
}
String[] sa = str1.split(" ");
ArrayList<Integer> il = new ArrayList<Integer>();
for(String s:sa) {
il.add(Integer.parseInt(s));
}
aGeneralizedABC(il);
}
private static void aGeneralizedABC(ArrayList<Integer> il) {
String abcString = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
String ans = abcString.substring(0,il.get(0));
System.out.println(ans);
}
}
|
ConDefects/ConDefects/Code/abc282_a/Java/38241419
|
condefects-java_data_1837
|
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner scanner=new Scanner(System.in);
int k=scanner.nextInt();
for(int i=0;i<k;i++){
System.out.print((char)'A'+i);
}
}
}
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner scanner=new Scanner(System.in);
int k=scanner.nextInt();
for(int i=0;i<k;i++){
System.out.print((char)('A'+i));
}
}
}
|
ConDefects/ConDefects/Code/abc282_a/Java/41469002
|
condefects-java_data_1838
|
import java.util.*;
import java.io.*;
import java.lang.reflect.Array;
import static java.lang.Math.*;
import java .util.Map.Entry;
public class Main{
static long mod=(long)1e9+7;
static int isPrimeLimit=(int)(1e6);
static int limit=(int)(1e9);
static class FastReader{
BufferedReader br;
StringTokenizer st;
public FastReader(){
br=new BufferedReader(new InputStreamReader(System.in));
}
String next(){
while(st==null || !st.hasMoreTokens()){
try {
st=new StringTokenizer(br.readLine());
} catch (IOException e) {
e.printStackTrace();
}
}
return st.nextToken();
}
int nextInt(){
return Integer.parseInt(next());
}
long nextLong(){
return Long.parseLong(next());
}
double nextDouble(){
return Double.parseDouble(next());
}
String nextLine(){
String str="";
try {
str=br.readLine().trim();
} catch (Exception e) {
e.printStackTrace();
}
return str;
}
}
static class FastWriter {
private final BufferedWriter bw;
public FastWriter() {
this.bw = new BufferedWriter(new OutputStreamWriter(System.out));
}
public void print(Object object) throws IOException {
bw.append("" + object);
}
public void println(Object object) throws IOException {
print(object);
bw.append("\n");
}
public void close() throws IOException {
bw.close();
}
}
static boolean isArrayPalin(long arr[])
{
int i=0;int j=arr.length-1;
while(i<j)
{
if(arr[i]!=arr[j])
return false;
i++;j--;
}
return true;
}
static boolean isStringPalin(String s){
int i=0,j=s.length()-1;
while(i<j){
if(s.charAt(i)!=s.charAt(j))
return false;
i++;j--;
}
return true;
}
static boolean isPrime(int isPrimeLimit)
{
boolean bool[]=new boolean[(isPrimeLimit+1)];
for(int i=0;i<bool.length;i++)
bool[i]=true;
for(int i=2;i<=Math.sqrt(isPrimeLimit);i++)
{
for(int j=i*i;j<=isPrimeLimit;j+=i)
bool[j]=false;
}
for(int i=2;i<bool.length;i++)
{
if(bool[i]==true)
{
if(i==isPrimeLimit)return true;
}
}
return false;
}
static long gcd(long a,long b)
{
if(a==0)return b;
if(b==0) return a;
return gcd(b%a,a);
}
static int countSetBits(int n) //Brian Kernighan Algo O(log n) =>cnt num of 1's
{
int cnt=0;
while(n>0)
{
n&=(n-1);
cnt++;
}
return cnt;
}
public static String sortString(String inputString)
{
char tempArray[] = inputString.toCharArray();
Arrays.sort(tempArray);
return new String(tempArray);
}
static long bigPower(long x, long y, long mod)
{
long res = 1;
x = x % mod;
if (x == 0)
return 0;
while (y > 0)
{
if ((y & 1) != 0)
res = ((res%mod) * (x%mod)) % mod;
y = y >> 1;
x = ((x%mod) * (x%mod)) % mod;
}
return res;
}
static class Pair{
char x;int y;
Pair(char x,int y){
this.x=x;
this.y=y;
}
}
static int findXOR(int n)
{
int mod = n % 4;
if (mod == 0)
return n;
else if (mod == 1)
return 1;
else if (mod == 2)
return n + 1;
else if (mod == 3)
return 0;
return 0;
}
static long sum(long n){
long s=0;
while(n!=0){
long rem=n%10;
s+=rem;
n/=10;
}
return s;
}
static int countDigit(long n)
{
return (int)Math.floor(Math.log10(n) + 1);
}
class DSU
{
public int[] dsu;
public int[] size;
public DSU(int N)
{
dsu = new int[N+1];
size = new int[N+1];
for(int i=0; i <= N; i++)
{
dsu[i] = i;
size[i] = 1;
}
}
//with path compression, no find by rank
public int find(int x)
{
return dsu[x] == x ? x : (dsu[x] = find(dsu[x]));
}
public void merge(int x, int y)
{
int fx = find(x);
int fy = find(y);
dsu[fx] = fy;
}
public void merge(int x, int y, boolean sized)
{
int fx = find(x);
int fy = find(y);
size[fy] += size[fx];
dsu[fx] = fy;
}
}
public static void main(String[] args) {
try {
FastReader sc=new FastReader();
FastWriter out = new FastWriter();
// int testCases=sc.nextInt();
int testCases=1;
while(testCases-- > 0){
int k=sc.nextInt();
String ans="";
for(int i=0;i<k;i++){
ans+=(char)(i+'a');
}
out.println(ans);
}
out.close();
} catch (Exception e) {
return;
}
}
}
import java.util.*;
import java.io.*;
import java.lang.reflect.Array;
import static java.lang.Math.*;
import java .util.Map.Entry;
public class Main{
static long mod=(long)1e9+7;
static int isPrimeLimit=(int)(1e6);
static int limit=(int)(1e9);
static class FastReader{
BufferedReader br;
StringTokenizer st;
public FastReader(){
br=new BufferedReader(new InputStreamReader(System.in));
}
String next(){
while(st==null || !st.hasMoreTokens()){
try {
st=new StringTokenizer(br.readLine());
} catch (IOException e) {
e.printStackTrace();
}
}
return st.nextToken();
}
int nextInt(){
return Integer.parseInt(next());
}
long nextLong(){
return Long.parseLong(next());
}
double nextDouble(){
return Double.parseDouble(next());
}
String nextLine(){
String str="";
try {
str=br.readLine().trim();
} catch (Exception e) {
e.printStackTrace();
}
return str;
}
}
static class FastWriter {
private final BufferedWriter bw;
public FastWriter() {
this.bw = new BufferedWriter(new OutputStreamWriter(System.out));
}
public void print(Object object) throws IOException {
bw.append("" + object);
}
public void println(Object object) throws IOException {
print(object);
bw.append("\n");
}
public void close() throws IOException {
bw.close();
}
}
static boolean isArrayPalin(long arr[])
{
int i=0;int j=arr.length-1;
while(i<j)
{
if(arr[i]!=arr[j])
return false;
i++;j--;
}
return true;
}
static boolean isStringPalin(String s){
int i=0,j=s.length()-1;
while(i<j){
if(s.charAt(i)!=s.charAt(j))
return false;
i++;j--;
}
return true;
}
static boolean isPrime(int isPrimeLimit)
{
boolean bool[]=new boolean[(isPrimeLimit+1)];
for(int i=0;i<bool.length;i++)
bool[i]=true;
for(int i=2;i<=Math.sqrt(isPrimeLimit);i++)
{
for(int j=i*i;j<=isPrimeLimit;j+=i)
bool[j]=false;
}
for(int i=2;i<bool.length;i++)
{
if(bool[i]==true)
{
if(i==isPrimeLimit)return true;
}
}
return false;
}
static long gcd(long a,long b)
{
if(a==0)return b;
if(b==0) return a;
return gcd(b%a,a);
}
static int countSetBits(int n) //Brian Kernighan Algo O(log n) =>cnt num of 1's
{
int cnt=0;
while(n>0)
{
n&=(n-1);
cnt++;
}
return cnt;
}
public static String sortString(String inputString)
{
char tempArray[] = inputString.toCharArray();
Arrays.sort(tempArray);
return new String(tempArray);
}
static long bigPower(long x, long y, long mod)
{
long res = 1;
x = x % mod;
if (x == 0)
return 0;
while (y > 0)
{
if ((y & 1) != 0)
res = ((res%mod) * (x%mod)) % mod;
y = y >> 1;
x = ((x%mod) * (x%mod)) % mod;
}
return res;
}
static class Pair{
char x;int y;
Pair(char x,int y){
this.x=x;
this.y=y;
}
}
static int findXOR(int n)
{
int mod = n % 4;
if (mod == 0)
return n;
else if (mod == 1)
return 1;
else if (mod == 2)
return n + 1;
else if (mod == 3)
return 0;
return 0;
}
static long sum(long n){
long s=0;
while(n!=0){
long rem=n%10;
s+=rem;
n/=10;
}
return s;
}
static int countDigit(long n)
{
return (int)Math.floor(Math.log10(n) + 1);
}
class DSU
{
public int[] dsu;
public int[] size;
public DSU(int N)
{
dsu = new int[N+1];
size = new int[N+1];
for(int i=0; i <= N; i++)
{
dsu[i] = i;
size[i] = 1;
}
}
//with path compression, no find by rank
public int find(int x)
{
return dsu[x] == x ? x : (dsu[x] = find(dsu[x]));
}
public void merge(int x, int y)
{
int fx = find(x);
int fy = find(y);
dsu[fx] = fy;
}
public void merge(int x, int y, boolean sized)
{
int fx = find(x);
int fy = find(y);
size[fy] += size[fx];
dsu[fx] = fy;
}
}
public static void main(String[] args) {
try {
FastReader sc=new FastReader();
FastWriter out = new FastWriter();
// int testCases=sc.nextInt();
int testCases=1;
while(testCases-- > 0){
int k=sc.nextInt();
String ans="";
for(int i=0;i<k;i++){
ans+=(char)(i+'A');
}
out.println(ans);
}
out.close();
} catch (Exception e) {
return;
}
}
}
|
ConDefects/ConDefects/Code/abc282_a/Java/38320873
|
condefects-java_data_1839
|
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int k = sc.nextInt();
String s = "abcdefghijklmnopqrstuvwxyz";
for(int i=0;i<k;i++)
{
System.out.print(s.charAt(i));
}
}
}
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int k = sc.nextInt();
String s = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
for(int i=0;i<k;i++)
{
System.out.print(s.charAt(i));
}
}
}
|
ConDefects/ConDefects/Code/abc282_a/Java/38183979
|
condefects-java_data_1840
|
import java.util.*;
public class Main {
public static void main(String[] args) throws Exception {
// Your code here!
Scanner sc= new Scanner(System.in);
int n = sc.nextInt();
for (int i=0; i<n;i++){
System.out.print((char)(97+i));
}
}
}
import java.util.*;
public class Main {
public static void main(String[] args) throws Exception {
// Your code here!
Scanner sc= new Scanner(System.in);
int n = sc.nextInt();
for (int i=0; i<n;i++){
System.out.print((char)(65+i));
}
}
}
|
ConDefects/ConDefects/Code/abc282_a/Java/42756175
|
condefects-java_data_1841
|
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int k = sc.nextInt();
for(int i = 0; i < k; i++) {
System.out.print(('A' + i));
}
}
}
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int k = sc.nextInt();
for(int i = 0; i < k; i++) {
System.out.print((char)('A' + i));
}
}
}
|
ConDefects/ConDefects/Code/abc282_a/Java/38084620
|
condefects-java_data_1842
|
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
public class Main {
public static void main(String[] args) throws IOException {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
int i = Integer.parseInt(br.readLine());
i += 65;
for (int j = 65; j <= i; j++) {
char c = (char) j;
System.out.print(c);
}
}
}
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
public class Main {
public static void main(String[] args) throws IOException {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
int i = Integer.parseInt(br.readLine());
i += 64;
for (int j = 65; j <= i; j++) {
char c = (char) j;
System.out.print(c);
}
}
}
|
ConDefects/ConDefects/Code/abc282_a/Java/37754220
|
condefects-java_data_1843
|
import java.util.*;
public class Main {
public static void main(String[] args){
Scanner sc = new Scanner(System.in);
int k = sc.nextInt();
for(int i=0;i<k;i++){
System.out.println((char)('A'+i));
}
sc.close();
}
}
import java.util.*;
public class Main {
public static void main(String[] args){
Scanner sc = new Scanner(System.in);
int k = sc.nextInt();
for(int i=0;i<k;i++){
System.out.print((char)('A'+i));
}
sc.close();
}
}
|
ConDefects/ConDefects/Code/abc282_a/Java/39594594
|
condefects-java_data_1844
|
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int k = sc.nextInt();
for (char i = 'A'; i < 'Z'; i++, k--) {
System.out.print(i);
if (k - 1 == 0) break;
}
}
}
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int k = sc.nextInt();
for (char i = 'A'; i <= 'Z'; i++, k--) {
System.out.print(i);
if (k - 1 == 0) break;
}
}
}
|
ConDefects/ConDefects/Code/abc282_a/Java/37699742
|
condefects-java_data_1845
|
import java.io.*;
import java.util.*;
public class Main {
//--------------------------INPUT READER---------------------------------//
static class fs {
public BufferedReader br;
StringTokenizer st = new StringTokenizer("");
public fs() { this(System.in); }
public fs(InputStream is) {
br = new BufferedReader(new InputStreamReader(is));
}
String next() {
while (!st.hasMoreTokens()) {
try { st = new StringTokenizer(br.readLine()); }
catch (IOException e) { e.printStackTrace(); }
}
return st.nextToken();
}
int ni() { return Integer.parseInt(next()); }
long nl() { return Long.parseLong(next()); }
double nd() { return Double.parseDouble(next()); }
String ns() { return next(); }
int[] na(long nn) {
int n = (int) nn;
int[] a = new int[n];
for (int i = 0; i < n; i++) a[i] = ni();
return a;
}
long[] nal(long nn) {
int n = (int) nn;
long[] l = new long[n];
for(int i = 0; i < n; i++) l[i] = nl();
return l;
}
}
//-----------------------------------------------------------------------//
//---------------------------PRINTER-------------------------------------//
static class Printer {
static PrintWriter w;
public Printer() {this(System.out);}
public Printer(OutputStream os) {
w = new PrintWriter(os);
}
public void p(int i) {w.println(i);}
public void p(long l) {w.println(l);}
public void p(double d) {w.println(d);}
public void p(String s) { w.println(s);}
public void pr(int i) {w.print(i);}
public void pr(long l) {w.print(l);}
public void pr(double d) {w.print(d);}
public void pr(String s) { w.print(s);}
public void pl() {w.println();}
public void close() {w.close();}
}
//-----------------------------------------------------------------------//
//--------------------------VARIABLES------------------------------------//
static fs sc = new fs();
static OutputStream outputStream = System.out;
static Printer w = new Printer(outputStream);
static long lma = Long.MAX_VALUE, lmi = Long.MIN_VALUE;
static int ima = Integer.MAX_VALUE, imi = Integer.MIN_VALUE;
static long mod = 1000000007;
//-----------------------------------------------------------------------//
//--------------------------ADMIN_MODE-----------------------------------//
private static void ADMIN_MODE() throws IOException {
String DIR = "ADMIN";
try { DIR = System.getProperty("user.dir"); }
catch (Exception e) { }
if(new File(DIR).getName().equals("LOCAL")) {
w = new Printer(new FileOutputStream("output.txt"));
sc = new fs(new FileInputStream("input.txt"));
}
}
//-----------------------------------------------------------------------//
//----------------------------START--------------------------------------//
public static void main(String[] args)
throws IOException {
ADMIN_MODE();
//int t = sc.ni();while(t-->0)
solve();
w.close();
}
static List<List<Integer>> graph;
static boolean[] vis;
static List<int[]> ans;
static void solve() throws IOException {
graph = new ArrayList<>();
int n = sc.ni();
int m = sc.ni();
for(int i = 0; i <= n; i++) {
graph.add(new ArrayList<>());
}
for(int i = 0; i < m; i++) {
int a = sc.ni(), b = sc.ni();
graph.get(a).add(b);
graph.get(b).add(a);
}
vis = new boolean[n+1];
ans = new ArrayList<>();
dfs(1);
for(int[] i: ans) {
w.p(i[0]+" "+i[1]);
}
vis = new boolean[n+1];
ans = new ArrayList<>();
ArrayDeque<Integer> q = new ArrayDeque<>();
int[] pt = new int[n+1];
q.add(1);
while(!q.isEmpty()) {
int at = q.pollFirst();
if(vis[at]) continue;
if(at != 1) {
ans.add(new int[] {at, pt[at]});
}
vis[at] = true;
for(int i: graph.get(at)) {
pt[i] = at;
q.addLast(i);
}
}
for(int[] i: ans) {
w.p(i[0]+" "+i[1]);
}
}
static void dfs(int at) {
vis[at] = true;
for(int i: graph.get(at)) {
if(vis[i]) continue;
ans.add(new int[] {at, i});
dfs(i);
}
}
}
import java.io.*;
import java.util.*;
public class Main {
//--------------------------INPUT READER---------------------------------//
static class fs {
public BufferedReader br;
StringTokenizer st = new StringTokenizer("");
public fs() { this(System.in); }
public fs(InputStream is) {
br = new BufferedReader(new InputStreamReader(is));
}
String next() {
while (!st.hasMoreTokens()) {
try { st = new StringTokenizer(br.readLine()); }
catch (IOException e) { e.printStackTrace(); }
}
return st.nextToken();
}
int ni() { return Integer.parseInt(next()); }
long nl() { return Long.parseLong(next()); }
double nd() { return Double.parseDouble(next()); }
String ns() { return next(); }
int[] na(long nn) {
int n = (int) nn;
int[] a = new int[n];
for (int i = 0; i < n; i++) a[i] = ni();
return a;
}
long[] nal(long nn) {
int n = (int) nn;
long[] l = new long[n];
for(int i = 0; i < n; i++) l[i] = nl();
return l;
}
}
//-----------------------------------------------------------------------//
//---------------------------PRINTER-------------------------------------//
static class Printer {
static PrintWriter w;
public Printer() {this(System.out);}
public Printer(OutputStream os) {
w = new PrintWriter(os);
}
public void p(int i) {w.println(i);}
public void p(long l) {w.println(l);}
public void p(double d) {w.println(d);}
public void p(String s) { w.println(s);}
public void pr(int i) {w.print(i);}
public void pr(long l) {w.print(l);}
public void pr(double d) {w.print(d);}
public void pr(String s) { w.print(s);}
public void pl() {w.println();}
public void close() {w.close();}
}
//-----------------------------------------------------------------------//
//--------------------------VARIABLES------------------------------------//
static fs sc = new fs();
static OutputStream outputStream = System.out;
static Printer w = new Printer(outputStream);
static long lma = Long.MAX_VALUE, lmi = Long.MIN_VALUE;
static int ima = Integer.MAX_VALUE, imi = Integer.MIN_VALUE;
static long mod = 1000000007;
//-----------------------------------------------------------------------//
//--------------------------ADMIN_MODE-----------------------------------//
private static void ADMIN_MODE() throws IOException {
String DIR = "ADMIN";
try { DIR = System.getProperty("user.dir"); }
catch (Exception e) { }
if(new File(DIR).getName().equals("LOCAL")) {
w = new Printer(new FileOutputStream("output.txt"));
sc = new fs(new FileInputStream("input.txt"));
}
}
//-----------------------------------------------------------------------//
//----------------------------START--------------------------------------//
public static void main(String[] args)
throws IOException {
ADMIN_MODE();
//int t = sc.ni();while(t-->0)
solve();
w.close();
}
static List<List<Integer>> graph;
static boolean[] vis;
static List<int[]> ans;
static void solve() throws IOException {
graph = new ArrayList<>();
int n = sc.ni();
int m = sc.ni();
for(int i = 0; i <= n; i++) {
graph.add(new ArrayList<>());
}
for(int i = 0; i < m; i++) {
int a = sc.ni(), b = sc.ni();
graph.get(a).add(b);
graph.get(b).add(a);
}
vis = new boolean[n+1];
ans = new ArrayList<>();
dfs(1);
for(int[] i: ans) {
w.p(i[0]+" "+i[1]);
}
vis = new boolean[n+1];
ans = new ArrayList<>();
ArrayDeque<Integer> q = new ArrayDeque<>();
int[] pt = new int[n+1];
q.add(1);
while(!q.isEmpty()) {
int at = q.pollFirst();
if(vis[at]) continue;
if(at != 1) {
ans.add(new int[] {at, pt[at]});
}
vis[at] = true;
for(int i: graph.get(at)) {
if(pt[i] == 0) pt[i] = at;
q.addLast(i);
}
}
for(int[] i: ans) {
w.p(i[0]+" "+i[1]);
}
}
static void dfs(int at) {
vis[at] = true;
for(int i: graph.get(at)) {
if(vis[i]) continue;
ans.add(new int[] {at, i});
dfs(i);
}
}
}
|
ConDefects/ConDefects/Code/abc251_f/Java/32294543
|
condefects-java_data_1846
|
import java.util.*;
import java.io.*;
import java.math.*;
import java.text.*;
public class Main{
public static void main(String args[]) throws IOException{
Read sc=new Read();
String s=sc.next();
String t=sc.next();
sc.println(ok(s,t)?"Yes":"No");
//sc.print(0);
sc.bw.flush();
sc.bw.close();
}
public static boolean ok(String s,String t){
List<Integer> list=new ArrayList<>();
for(int i=0;i<s.length();i++){
if(s.charAt(i)!=t.charAt(i)){
list.add(i);
}
}
if(list.size()==0){
return true;
}
if(list.size()!=2){
return false;
}
int a=list.get(0),b=list.get(1);
return s.charAt(a)==t.charAt(b)&&s.charAt(b)==t.charAt(a);
}
}
//记住看数字范围，需要开long吗，需要用BigInteger吗，需要手动处理字符串吗，复杂度数量级控制在1e7或者以下了吗
//开数组的数据范围最高 @可爱抱抱 不能超过1e7，数据范围再大就要用哈希表离散化了
//基本数据类型不能自定义sort排序，二维数组就可以了，顺序排序的时候是小减大，注意返回值应该是int
class Read{
BufferedReader bf;
StringTokenizer st;
BufferedWriter bw;
public Read(){
bf=new BufferedReader(new InputStreamReader(System.in));
st=new StringTokenizer("");
bw=new BufferedWriter(new OutputStreamWriter(System.out));
}
public String nextLine() throws IOException{
return bf.readLine();
}
public String next() throws IOException{
while(!st.hasMoreTokens()){
st=new StringTokenizer(bf.readLine());
}
return st.nextToken();
}
public char nextChar() throws IOException{
// 确定下一个@可爱抱抱 只有一个字符的时候再用
return next().charAt(0);
}
public int nextInt() throws IOException{
return Integer.parseInt(next());
}
public long nextLong() throws IOException{
return Long.parseLong(next());
}
public double nextDouble() throws IOException{
return Double.parseDouble(next());
}
public float nextFloat() throws IOException{
return Float.parseFloat(next());
}
public byte nextByte() throws IOException{
return Byte.parseByte(next());
}
public short nextShort() throws IOException{
return Short.parseShort(next());
}
public BigInteger nextBigInteger() throws IOException{
return new BigInteger(next());
}
public void println(int a) throws IOException{
bw.write(String.valueOf(a));
bw.newLine();
return;
}
public void print(int a) throws IOException{
bw.write(String.valueOf(a));
return;
}
public void println(String a) throws IOException{
bw.write(a);
bw.newLine();
return;
}
public void print(String a) throws IOException{
bw.write(a);
return;
}
public void println(long a) throws IOException{
bw.write(String.valueOf(a));
bw.newLine();
return;
}
public void print(long a) throws IOException{
bw.write(String.valueOf(a));
return;
}
public void println(double a) throws IOException{
bw.write(String.valueOf(a));
bw.newLine();
return;
}
public void print(double a) throws IOException{
bw.write(String.valueOf(a));
return;
}
public void print(BigInteger a) throws IOException{
bw.write(a.toString());
return;
}
public void print(char a) throws IOException{
bw.write(String.valueOf(a));
return;
}
public void println(char a) throws IOException{
bw.write(String.valueOf(a));
bw.newLine();
return;
}
}
import java.util.*;
import java.io.*;
import java.math.*;
import java.text.*;
public class Main{
public static void main(String args[]) throws IOException{
Read sc=new Read();
String s=sc.next();
String t=sc.next();
sc.println(ok(s,t)?"Yes":"No");
//sc.print(0);
sc.bw.flush();
sc.bw.close();
}
public static boolean ok(String s,String t){
List<Integer> list=new ArrayList<>();
for(int i=0;i<s.length();i++){
if(s.charAt(i)!=t.charAt(i)){
list.add(i);
}
}
if(list.size()==0){
return true;
}
if(list.size()!=2){
return false;
}
int a=list.get(0),b=list.get(1);
return Math.abs(a-b)==1&&s.charAt(a)==t.charAt(b)&&s.charAt(b)==t.charAt(a);
}
}
//记住看数字范围，需要开long吗，需要用BigInteger吗，需要手动处理字符串吗，复杂度数量级控制在1e7或者以下了吗
//开数组的数据范围最高 @可爱抱抱 不能超过1e7，数据范围再大就要用哈希表离散化了
//基本数据类型不能自定义sort排序，二维数组就可以了，顺序排序的时候是小减大，注意返回值应该是int
class Read{
BufferedReader bf;
StringTokenizer st;
BufferedWriter bw;
public Read(){
bf=new BufferedReader(new InputStreamReader(System.in));
st=new StringTokenizer("");
bw=new BufferedWriter(new OutputStreamWriter(System.out));
}
public String nextLine() throws IOException{
return bf.readLine();
}
public String next() throws IOException{
while(!st.hasMoreTokens()){
st=new StringTokenizer(bf.readLine());
}
return st.nextToken();
}
public char nextChar() throws IOException{
// 确定下一个@可爱抱抱 只有一个字符的时候再用
return next().charAt(0);
}
public int nextInt() throws IOException{
return Integer.parseInt(next());
}
public long nextLong() throws IOException{
return Long.parseLong(next());
}
public double nextDouble() throws IOException{
return Double.parseDouble(next());
}
public float nextFloat() throws IOException{
return Float.parseFloat(next());
}
public byte nextByte() throws IOException{
return Byte.parseByte(next());
}
public short nextShort() throws IOException{
return Short.parseShort(next());
}
public BigInteger nextBigInteger() throws IOException{
return new BigInteger(next());
}
public void println(int a) throws IOException{
bw.write(String.valueOf(a));
bw.newLine();
return;
}
public void print(int a) throws IOException{
bw.write(String.valueOf(a));
return;
}
public void println(String a) throws IOException{
bw.write(a);
bw.newLine();
return;
}
public void print(String a) throws IOException{
bw.write(a);
return;
}
public void println(long a) throws IOException{
bw.write(String.valueOf(a));
bw.newLine();
return;
}
public void print(long a) throws IOException{
bw.write(String.valueOf(a));
return;
}
public void println(double a) throws IOException{
bw.write(String.valueOf(a));
bw.newLine();
return;
}
public void print(double a) throws IOException{
bw.write(String.valueOf(a));
return;
}
public void print(BigInteger a) throws IOException{
bw.write(a.toString());
return;
}
public void print(char a) throws IOException{
bw.write(String.valueOf(a));
return;
}
public void println(char a) throws IOException{
bw.write(String.valueOf(a));
bw.newLine();
return;
}
}
|
ConDefects/ConDefects/Code/abc221_b/Java/35808560
|
condefects-java_data_1847
|
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
String s = sc.next();
String t = sc.next();
boolean flag = true;
boolean cflag = false;
for (int i = 0; i < s.length(); i++) {
if (s.charAt(i) != t.charAt(i) && !cflag) {
cflag = true;
if (s.charAt(i+1) != t.charAt(i) || s.charAt(i) != t.charAt(i+1)) {
flag = false;
i += 2;
break;
}
} else if(s.charAt(i) != t.charAt(i) && cflag) {
flag = false;
break;
}
}
System.out.println(flag ? "Yes" : "No");
sc.close();
}
}
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
String s = sc.next();
String t = sc.next();
boolean flag = true;
boolean cflag = false;
for (int i = 0; i < s.length(); i++) {
if (s.charAt(i) != t.charAt(i) && !cflag) {
cflag = true;
if (s.charAt(i+1) != t.charAt(i) || s.charAt(i) != t.charAt(i+1)) {
flag = false;
break;
}
i += 2;
} else if(s.charAt(i) != t.charAt(i) && cflag) {
flag = false;
break;
}
}
System.out.println(flag ? "Yes" : "No");
sc.close();
}
}
|
ConDefects/ConDefects/Code/abc221_b/Java/37614473
|
condefects-java_data_1848
|
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner scan=new Scanner(System.in);
var s=new StringBuilder(scan.next());
var t=new StringBuilder(scan.next());
scan.close();
var can=false;
var n=s.length();
for(int i=0;i<n-1;i++) {
var si=s.charAt(i);
var si1=s.charAt(i+1);
s.setCharAt(i, si1);
s.setCharAt(i+1, si);
// System.out.println(s);
if(s.toString().equals(t.toString())) {
can=true;
}
s.setCharAt(i, si);
s.setCharAt(i+1, si1);
}
if(can) System.out.println("Yes");
else System.out.println("No");
}
}
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner scan=new Scanner(System.in);
var s=new StringBuilder(scan.next());
var t=new StringBuilder(scan.next());
scan.close();
var can=false;
var n=s.length();
for(int i=0;i<n-1;i++) {
var si=s.charAt(i);
var si1=s.charAt(i+1);
s.setCharAt(i, si1);
s.setCharAt(i+1, si);
// System.out.println(s);
if(s.toString().equals(t.toString())) {
can=true;
}
s.setCharAt(i, si);
s.setCharAt(i+1, si1);
}
if(s.toString().equals(t.toString()) || can) System.out.println("Yes");
else System.out.println("No");
}
}
|
ConDefects/ConDefects/Code/abc221_b/Java/38131848
|
condefects-java_data_1849
|
import static java.lang.System.*;
import java.util.*;
public class Main{
public static void solve(){
Scanner sc = new Scanner(in);
char []ch1 = sc.next().toCharArray();
char []ch2 = sc.next().toCharArray();
for(int i = 0,j = 0; i < ch1.length; ++i,++j){
if(ch1[i] != ch2[j]){
out.println(i + 1);
return;
}
}
out.println(ch2[ch2.length - 1]);
}
public static void main(String[] args) {
solve();
}
}
import static java.lang.System.*;
import java.util.*;
public class Main{
public static void solve(){
Scanner sc = new Scanner(in);
char []ch1 = sc.next().toCharArray();
char []ch2 = sc.next().toCharArray();
for(int i = 0,j = 0; i < ch1.length; ++i,++j){
if(ch1[i] != ch2[j]){
out.println(i + 1);
return;
}
}
out.println(ch2.length);
}
public static void main(String[] args) {
solve();
}
}
|
ConDefects/ConDefects/Code/abc280_c/Java/39207941
|
condefects-java_data_1850
|
import java.util.*;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
String[] s = sc.next().split("");
String[] t = sc.next().split("");
for(int i = 0; i < s.length; i ++) {
if(!t[i].equals(s[i])) {
System.out.println(i + 1);
break;
} else if (i == s.length - 1) {
System.out.println(s.length);
}
}
}
}
import java.util.*;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
String[] s = sc.next().split("");
String[] t = sc.next().split("");
for(int i = 0; i < s.length; i ++) {
if(!t[i].equals(s[i])) {
System.out.println(i + 1);
break;
} else if (i == s.length - 1) {
System.out.println(s.length + 1);
}
}
}
}
|
ConDefects/ConDefects/Code/abc280_c/Java/39201861
|
condefects-java_data_1851
|
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
String s = scanner.next();
String t = scanner.next();
for(int i=0; i < s.length(); i++) {
if(s.charAt(i) != t.charAt(i)) {
System.out.println(i + 1);
break;
}
if(i==s.length()-1 && s.charAt(i) == t.charAt(i)) {
System.out.println(i+1);
}
}
}
}
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
String s = scanner.next();
String t = scanner.next();
for(int i=0; i < s.length(); i++) {
if(s.charAt(i) != t.charAt(i)) {
System.out.println(i + 1);
break;
}
if(i==s.length()-1 && s.charAt(i) == t.charAt(i)) {
System.out.println(i+2);
}
}
}
}
|
ConDefects/ConDefects/Code/abc280_c/Java/40144413
|
condefects-java_data_1852
|
import java.util.Scanner;
public class Main {
public static void main(final String[] args) {
try (final Scanner sc = new Scanner(System.in)) {
final char[] S = sc.next().toCharArray();
final char[] T = sc.next().toCharArray();
int ans = 1;
for (int i = 0; i < S.length; i++) {
if (S[i] != T[i]) {
ans = i + 1;
break;
}
}
System.out.println(ans);
}
}
}
import java.util.Scanner;
public class Main {
public static void main(final String[] args) {
try (final Scanner sc = new Scanner(System.in)) {
final char[] S = sc.next().toCharArray();
final char[] T = sc.next().toCharArray();
int ans = 1;
for (int i = 0; i < S.length; i++) {
if (S[i] != T[i]) {
break;
}
ans++;
}
System.out.println(ans);
}
}
}
|
ConDefects/ConDefects/Code/abc280_c/Java/44839357
|
condefects-java_data_1853
|
import java.util.Scanner;
class Main {
public static void main(String args[]) {
Scanner sc = new Scanner(System.in);
String S = sc.nextLine();
String T = sc.nextLine();
for (int i = 0; i < S.length(); i++) {
if (S.charAt(i) != T.charAt(i)){
System.out.println(i + 1);
sc.close();
break;
}
}
System.out.println(T.length());
sc.close();
}
}
import java.util.Scanner;
class Main {
public static void main(String args[]) {
Scanner sc = new Scanner(System.in);
String S = sc.nextLine();
String T = sc.nextLine();
for (int i = 0; i < S.length(); i++) {
if (S.charAt(i) != T.charAt(i)){
System.out.println(i + 1);
sc.close();
System.exit(0);
}
}
System.out.println(T.length());
sc.close();
}
}
|
ConDefects/ConDefects/Code/abc280_c/Java/40391437
|
condefects-java_data_1854
|
import java.util.Scanner;
public class Main{
public static void main(String...args){
Scanner sc=new Scanner(System.in);
final char[] S=sc.next().toCharArray();
final char[] T=sc.next().toCharArray();
for(int i=0;i<S.length;i++){
if(S[i]!=T[i]){
System.out.println(i+1);
return;
}
}
System.out.println(S.length);
}
}
import java.util.Scanner;
public class Main{
public static void main(String...args){
Scanner sc=new Scanner(System.in);
final char[] S=sc.next().toCharArray();
final char[] T=sc.next().toCharArray();
for(int i=0;i<S.length;i++){
if(S[i]!=T[i]){
System.out.println(i+1);
return;
}
}
System.out.println(T.length);
}
}
|
ConDefects/ConDefects/Code/abc280_c/Java/44606166
|
condefects-java_data_1855
|
import java.io.*;
import java.util.*;
public class Main {
static Scanner sc;
static PrintWriter out;
public static void main(String[] args) {
sc = new Scanner(System.in);
out = new PrintWriter(System.out);
new Main().solve();
out.flush();
}
int n;
List<G> gs;
int d;
int md;
int[] res;
public void solve() {
n = sc.nextInt();
int m = sc.nextInt();
List<E>[] list = new List[n];
UFSize uf = new UFSize(n);
Arrays.setAll(list, i -> new ArrayList<>());
for(int i=0; i<m; i++) {
int a = sc.nextInt()-1;
int b = sc.nextInt()-1;
int c = sc.nextInt();
list[a].add(new E(a, b, -c));
list[b].add(new E(b, a, c));
uf.join(a, b);
}
boolean[] v = new boolean[n];
int[] l = new int[n];
gs = new ArrayList<>();
for(int i=0; i<n; i++) {
if(uf.root(i) != i) continue;
Set<Integer> set = new HashSet<>();
set.add(i);
v[i] = true;
LinkedList<Integer> q = new LinkedList<>();
q.offer(i);
while(!q.isEmpty()) {
int u = q.poll();
for(E e : list[u]) {
if(v[e.v]) continue;
v[e.v] = true;
l[e.v] = l[u] + e.c;
q.offer(e.v);
set.add(e.v);
}
}
int min = l[i];
int mini = i;
for(int j : set) {
if(l[j] < min) {
min = l[j];
mini = j;
}
}
int max = 0;
int mask = 0;
for(int j : set) {
l[j] -= min;
max = Math.max(max, l[j]);
mask |= 1<<l[j];
}
gs.add(new G(mini, max, mask, set.size()));
}
d = gs.size();
gs.sort(Comparator.comparingInt(a -> a.cnt));
int sn = 0;
res = new int[n];
Arrays.fill(res, -1);
for(int i=0; i<d; i++) {
G g = gs.get(i);
if(g.cnt == 1) {
sn++;
}
}
md = d;
if(sn >= 2) {
for(int i=0; i<d; i++) {
G g = gs.get(i);
if(g.cnt == 1) {
res[g.root] = -1;
}
}
md -= sn;
}
dfs(md-1, 0, new int[md]);
for(int i=0; i<md; i++) {
G g = gs.get(i);
if(g.oset.size() != 1) {
continue;
}
int offset = g.oset.iterator().next();
res[g.root] = offset;
for(int j=0; j<n; j++) {
if(uf.root(j) == uf.root(g.root)) {
res[j] = l[j] + offset;
}
}
}
for(int i=0; i<res.length; i++) {
if(i>0) out.print(" ");
if(res[i] >= 0) {
res[i]++;
}
out.print(res[i]);
}
out.println();
}
void dfs(int pos, int mask, int[] offset) {
if(pos == -1) {
for(int i=0; i<md; i++) {
gs.get(i).oset.add(offset[i]);
}
return;
}
G g = gs.get(pos);
for(int i=0; i+g.max < n; i++) {
if((mask & (g.mask<<i)) != 0) continue;
offset[pos] = i;
dfs(pos-1, mask | (g.mask<<i), offset);
}
}
static class G {
int root;
int max;
int mask;
int cnt;
Set<Integer> oset;
G(int root, int max, int mask, int cnt) {
this.root = root;
this.max = max;
this.mask = mask;
this.cnt = cnt;
oset = new HashSet<>();
}
}
static class E {
int u;
int v;
int c;
E(int u, int v, int c) {
this.u = u;
this.v = v;
this.c = c;
}
}
static class UF {
int[] p;
int n;
UF(int n) {
this.n = n;
p = new int[n];
for(int i=0; i<n; i++){
p[i] = i;
}
}
int root(int a) {
if(p[a] == a) {
return a;
}
int res = root(p[a]);
p[a] = res;
return res;
}
void join(int a ,int b) {
p[root(a)] = p[root(b)];
}
}
static class UFSize extends UF {
int[] size;
UFSize(int n) {
super(n);
size = new int[n];
for(int i=0; i<n; i++) {
size[i] = 1;
}
}
@Override
void join(int a, int b) {
if(root(a) != root(b)) {
size[root(b)] += size[root(a)];
p[root(a)] = p[root(b)];
}
}
}
}
import java.io.*;
import java.util.*;
public class Main {
static Scanner sc;
static PrintWriter out;
public static void main(String[] args) {
sc = new Scanner(System.in);
out = new PrintWriter(System.out);
new Main().solve();
out.flush();
}
int n;
List<G> gs;
int d;
int md;
int[] res;
public void solve() {
n = sc.nextInt();
int m = sc.nextInt();
List<E>[] list = new List[n];
UFSize uf = new UFSize(n);
Arrays.setAll(list, i -> new ArrayList<>());
for(int i=0; i<m; i++) {
int a = sc.nextInt()-1;
int b = sc.nextInt()-1;
int c = sc.nextInt();
list[a].add(new E(a, b, -c));
list[b].add(new E(b, a, c));
uf.join(a, b);
}
boolean[] v = new boolean[n];
int[] l = new int[n];
gs = new ArrayList<>();
for(int i=0; i<n; i++) {
if(uf.root(i) != i) continue;
Set<Integer> set = new HashSet<>();
set.add(i);
v[i] = true;
LinkedList<Integer> q = new LinkedList<>();
q.offer(i);
while(!q.isEmpty()) {
int u = q.poll();
for(E e : list[u]) {
if(v[e.v]) continue;
v[e.v] = true;
l[e.v] = l[u] + e.c;
q.offer(e.v);
set.add(e.v);
}
}
int min = l[i];
int mini = i;
for(int j : set) {
if(l[j] < min) {
min = l[j];
mini = j;
}
}
int max = 0;
int mask = 0;
for(int j : set) {
l[j] -= min;
max = Math.max(max, l[j]);
mask |= 1<<l[j];
}
gs.add(new G(mini, max, mask, set.size()));
}
d = gs.size();
gs.sort(Comparator.comparingInt(a -> -a.cnt));
int sn = 0;
res = new int[n];
Arrays.fill(res, -1);
for(int i=0; i<d; i++) {
G g = gs.get(i);
if(g.cnt == 1) {
sn++;
}
}
md = d;
if(sn >= 2) {
for(int i=0; i<d; i++) {
G g = gs.get(i);
if(g.cnt == 1) {
res[g.root] = -1;
}
}
md -= sn;
}
dfs(md-1, 0, new int[md]);
for(int i=0; i<md; i++) {
G g = gs.get(i);
if(g.oset.size() != 1) {
continue;
}
int offset = g.oset.iterator().next();
res[g.root] = offset;
for(int j=0; j<n; j++) {
if(uf.root(j) == uf.root(g.root)) {
res[j] = l[j] + offset;
}
}
}
for(int i=0; i<res.length; i++) {
if(i>0) out.print(" ");
if(res[i] >= 0) {
res[i]++;
}
out.print(res[i]);
}
out.println();
}
void dfs(int pos, int mask, int[] offset) {
if(pos == -1) {
for(int i=0; i<md; i++) {
gs.get(i).oset.add(offset[i]);
}
return;
}
G g = gs.get(pos);
for(int i=0; i+g.max < n; i++) {
if((mask & (g.mask<<i)) != 0) continue;
offset[pos] = i;
dfs(pos-1, mask | (g.mask<<i), offset);
}
}
static class G {
int root;
int max;
int mask;
int cnt;
Set<Integer> oset;
G(int root, int max, int mask, int cnt) {
this.root = root;
this.max = max;
this.mask = mask;
this.cnt = cnt;
oset = new HashSet<>();
}
}
static class E {
int u;
int v;
int c;
E(int u, int v, int c) {
this.u = u;
this.v = v;
this.c = c;
}
}
static class UF {
int[] p;
int n;
UF(int n) {
this.n = n;
p = new int[n];
for(int i=0; i<n; i++){
p[i] = i;
}
}
int root(int a) {
if(p[a] == a) {
return a;
}
int res = root(p[a]);
p[a] = res;
return res;
}
void join(int a ,int b) {
p[root(a)] = p[root(b)];
}
}
static class UFSize extends UF {
int[] size;
UFSize(int n) {
super(n);
size = new int[n];
for(int i=0; i<n; i++) {
size[i] = 1;
}
}
@Override
void join(int a, int b) {
if(root(a) != root(b)) {
size[root(b)] += size[root(a)];
p[root(a)] = p[root(b)];
}
}
}
}
|
ConDefects/ConDefects/Code/abc352_f/Java/53131667
|
condefects-java_data_1856
|
import java.awt.Point;
import java.io.Serializable;
import java.math.BigInteger;
import java.util.AbstractList;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.BitSet;
import java.util.Collection;
import java.util.Comparator;
import java.util.HashMap;
import java.util.Iterator;
import java.util.List;
import java.util.Map;
import java.util.Map.Entry;
import java.util.PriorityQueue;
import java.util.Queue;
import java.util.RandomAccess;
import java.util.Set;
import java.util.TreeMap;
import java.util.function.BinaryOperator;
import java.util.function.UnaryOperator;
import java.util.stream.IntStream;
public class Main implements Runnable {
private void solve(final FastIO io, final String[] args) {
io.setAutoFlush(true);
io.setAutoOutFlush(false);
/*
* author: 31536000
* AtCoder Beginner Contest 352 F問題
* 考察メモ
* まず、疎な頂点が二つある場合は明らかにそこに関しては一意に定まらない
* よって、残りの頂点に対する割り当てだけ考えれば良い
* 各連結成分に対して、最小値を決めれば残りは一意に定まる
* ということは、連結成分はN/2個以下であり、それぞれに最小値を決めるのは16P8≒5e8とか(実際にはもっと小さいはず)
*/
int N = io.nextInt(), M = io.nextInt();
ACL.DisjointSetUnion dsu = ACL.DisjointSetUnion.create(N);
ArrayList<ArrayList<Edge>> graph = new ArrayList<>(N);
for (int i = 0;i < N;++ i) graph.add(new ArrayList<>());
for (int i = 0;i < M;++ i) {
int A = io.nextInt() - 1, B = io.nextInt() - 1, C = io.nextInt();
dsu.merge(A, B);
graph.get(A).add(new Edge(A, B, -C));
graph.get(B).add(new Edge(B, A, C));
}
// 要素数1の連結成分が二つ以上あるなら、数えない
int one = IntStream.range(0, N).filter(i -> dsu.getSize(i) == 1).sum();
Component[] comp = Arrays
.stream(dsu.getGroups().stream().filter(i -> one <= 1 || i.size() != 1).mapToInt(i -> i.get(0)).toArray())
.mapToObj(i -> new Component(i, graph)).toArray(Component[]::new);
dfs(comp, new BitSet(N), 0, N);
int[] ans = new int[N];
Arrays.fill(ans, -1);
for (Component c : comp) {
if (c.candidate.cardinality() != 1) continue;
int min = c.candidate.nextSetBit(0) + 1;
for (Map.Entry<Integer, Integer> e : c.add.entrySet()) ans[e.getKey()] = e.getValue() + min;
}
io.println(ans);
}
class Edge {
int source, target, dist;
Edge(int source, int target, int dist) {
this.source = source;
this.target = target;
this.dist = dist;
}
}
class Component {
BitSet candidate;
int[] fill;
HashMap<Integer, Integer> add = new HashMap<>();
int N, max, target;
Component(int i, ArrayList<ArrayList<Edge>> graph) {
N = graph.size();
candidate = new BitSet(graph.size());
target = i;
add.put(i, 0);
Queue<Integer> bfs = new ArrayDeque<>();
bfs.add(i);
while(!bfs.isEmpty()) {
int now = bfs.poll();
for (Edge e: graph.get(now)) {
if (add.containsKey(e.target)) continue;
add.put(e.target, add.get(e.source) + e.dist);
bfs.add(e.target);
}
}
fill = add.values().stream().mapToInt(x -> x).sorted().toArray();
add.replaceAll((key, value) -> value - fill[0]);
for (int j = fill.length - 1;j >= 0;-- j) fill[j] -= fill[0];
max = fill[fill.length - 1];
}
boolean set(BitSet set, int first) {
if (first + max >= N) return false;
for (int i : fill) if (set.get(i + first)) return false;
for (int i : fill) set.set(i + first);
return true;
}
void undo(BitSet set, int first) {
for (int i : fill) set.clear(first + i);
}
}
boolean dfs(Component[] comp, BitSet use, int remain, int N) {
if (remain + 1 == 1 << comp.length) return true;
boolean result = false;
for (int i = 0;i < comp.length;++ i) {
if ((remain >> i & 1) != 0) continue;
for (int next = use.nextClearBit(0);next < N;next = use.nextClearBit(next + 1)) {
if (!comp[i].set(use, next)) continue;
if (dfs(comp, use, remain | 1 << i, N)) {
comp[i].candidate.set(next); // nextを用いて全部埋められた
result = true;
comp[i].undo(use, next);
}
comp[i].undo(use, next);
}
}
return result;
}
/** デバッグ用コードのお供に */
private static boolean DEBUG = false;
/** 確保するメモリの大きさ(単位: MB) */
private static final long MEMORY = 64;
private final FastIO io;
private final String[] args;
public static void main(final String[] args) {
Thread.setDefaultUncaughtExceptionHandler((t, e) -> {
e.printStackTrace();
System.exit(1);
});
FastIO.setFastStandardOutput(true);
new Thread(null, new Main(args), "", MEMORY * 1048576L).start();
}
public Main(final String[] args) {
this(new FastIO(), args);
}
public Main(final FastIO io, final String... args) {
this.io = io;
this.args = args;
if (DEBUG) io.setAutoFlush(true);
}
@Override
public void run() {
try {
solve(io, args);
} catch (final Throwable e) {
throw e;
} finally {
io.close();
FastIO.setFastStandardOutput(false);
}
}
// 以下、ライブラリ
/**
* 指数表記の値を整数で返します。
*
* @param n 仮数部
* @param e 指数部
* @return n * 10^e
*/
public static int exponent10(final int n, final int e) {
return n * pow(10, e);
}
/**
* 指数表記の値を整数で返します。
*
* @param n 仮数部
* @param e 指数部
* @return n * 10^e
*/
public static long exponent10L(final int n, final int e) {
return n * pow(10L, e);
}
/**
* aのb乗を返します。
*
* @param a 整数
* @param b 整数
* @return aのb乗
*/
public static int pow(final int a, int b) {
int ans = 1;
for (int mul = a; b > 0; b >>= 1, mul *= mul) if ((b & 1) != 0) ans *= mul;
return ans;
}
/**
* aのb乗をmodを法として計算したものを返します。
*
* @param a 整数
* @param b 整数
* @param mod 法
* @return aのb乗をmodを法として計算したもの
*/
public static int pow(int a, int b, final int mod) {
a %= mod;
if (a < 0) a += mod;
if (b < 0) {
b %= mod - 1;
b += mod - 1;
}
long ans = 1;
for (long mul = a; b > 0; b >>= 1, mul = mul * mul % mod) if ((b & 1) != 0) ans = ans * mul % mod;
return (int) ans;
}
/**
* aのb乗を返します。
*
* @param a 整数
* @param b 整数
* @return aのb乗
*/
public static long pow(final long a, long b) {
long ans = 1;
for (long mul = a; b > 0; b >>= 1, mul *= mul) if ((b & 1) != 0) ans *= mul;
return ans;
}
/**
* aのb乗をmodを法として計算したものを返します。
*
* @param a 整数
* @param b 整数
* @param mod 法
* @return aのb乗をmodを法として計算したもの
*/
public static int pow(long a, long b, final int mod) {
a %= mod;
if (a < 0) a += mod;
if (b < 0) {
b %= mod - 1;
b += mod - 1;
}
long ans = 1;
for (long mul = a; b > 0; b >>= 1, mul = mul * mul % mod) if ((b & 1) != 0) ans = ans * mul % mod;
return (int) ans;
}
public enum BoundType {
CLOSED, OPEN;
}
public static class Range<C> implements Serializable {
private static final long serialVersionUID = -4702828934863023392L;
protected C lower;
protected C upper;
protected BoundType lowerType;
protected BoundType upperType;
private Comparator<? super C> comparator;
protected Range(final C lower, final BoundType lowerType, final C upper, final BoundType upperType) {
this(lower, lowerType, upper, upperType, null);
}
protected Range(final C lower, final BoundType lowerType, final C upper, final BoundType upperType,
final Comparator<? super C> comparator) {
this.lower = lower;
this.upper = upper;
this.lowerType = lowerType;
this.upperType = upperType;
this.comparator = comparator;
}
public static <C extends Comparable<? super C>> Range<C> range(final C lower, final BoundType lowerType,
final C upper, final BoundType upperType) {
if (lower != null && upper != null) {
final int comp = lower.compareTo(upper);
if (comp > 0) return new Range<>(null, BoundType.CLOSED, null, BoundType.CLOSED);
else if (comp == 0 && (lowerType == BoundType.OPEN || upperType == BoundType.OPEN))
return new Range<>(null, BoundType.CLOSED, null, BoundType.CLOSED);
}
return new Range<>(lower, lowerType, upper, upperType);
}
public static <C> Range<C> range(final C lower, final BoundType lowerType, final C upper,
final BoundType upperType, final Comparator<? super C> comparator) {
if (lower != null && upper != null) {
final int comp = comparator.compare(lower, upper);
if (comp > 0) return new Range<>(null, BoundType.CLOSED, null, BoundType.CLOSED, comparator);
else if (comp == 0 && (lowerType == BoundType.OPEN || upperType == BoundType.OPEN))
return new Range<>(null, BoundType.CLOSED, null, BoundType.CLOSED, comparator);
}
return new Range<>(lower, lowerType, upper, upperType, comparator);
}
public static <C extends Comparable<? super C>> Range<C> all() {
return range((C) null, BoundType.OPEN, null, BoundType.OPEN);
}
public static <C> Range<C> all(final Comparator<? super C> comparator) {
return range((C) null, BoundType.OPEN, null, BoundType.OPEN, comparator);
}
public static <C extends Comparable<? super C>> Range<C> atMost(final C upper) {
return range(null, BoundType.OPEN, upper, BoundType.CLOSED);
}
public static <C> Range<C> atMost(final C upper, final Comparator<? super C> comparator) {
return range(null, BoundType.OPEN, upper, BoundType.CLOSED, comparator);
}
public static <C extends Comparable<? super C>> Range<C> lessThan(final C upper) {
return range(null, BoundType.OPEN, upper, BoundType.OPEN);
}
public static <C> Range<C> lessThan(final C upper, final Comparator<? super C> comparator) {
return range(null, BoundType.OPEN, upper, BoundType.OPEN, comparator);
}
public static <C extends Comparable<? super C>> Range<C> downTo(final C upper, final BoundType boundType) {
return range(null, BoundType.OPEN, upper, boundType);
}
public static <C> Range<C> downTo(final C upper, final BoundType boundType,
final Comparator<? super C> comparator) {
return range(null, BoundType.OPEN, upper, boundType, comparator);
}
public static <C extends Comparable<? super C>> Range<C> atLeast(final C lower) {
return range(lower, BoundType.CLOSED, null, BoundType.OPEN);
}
public static <C> Range<C> atLeast(final C lower, final Comparator<? super C> comparator) {
return range(lower, BoundType.CLOSED, null, BoundType.OPEN, comparator);
}
public static <C extends Comparable<? super C>> Range<C> greaterThan(final C lower) {
return range(lower, BoundType.OPEN, null, BoundType.OPEN);
}
public static <C> Range<C> greaterThan(final C lower, final Comparator<? super C> comparator) {
return range(lower, BoundType.OPEN, null, BoundType.OPEN, comparator);
}
public static <C extends Comparable<? super C>> Range<C> upTo(final C lower, final BoundType boundType) {
return range(lower, boundType, null, BoundType.OPEN);
}
public static <C> Range<C> upTo(final C lower, final BoundType boundType,
final Comparator<? super C> comparator) {
return range(lower, boundType, null, BoundType.OPEN, comparator);
}
public static <C extends Comparable<? super C>> Range<C> open(final C lower, final C upper) {
return range(lower, BoundType.OPEN, upper, BoundType.OPEN);
}
public static <C> Range<C> open(final C lower, final C upper, final Comparator<? super C> comparator) {
return range(lower, BoundType.OPEN, upper, BoundType.OPEN, comparator);
}
public static <C extends Comparable<? super C>> Range<C> openClosed(final C lower, final C upper) {
return range(lower, BoundType.OPEN, upper, BoundType.CLOSED);
}
public static <C> Range<C> openClosed(final C lower, final C upper, final Comparator<? super C> comparator) {
return range(lower, BoundType.OPEN, upper, BoundType.CLOSED, comparator);
}
public static <C extends Comparable<? super C>> Range<C> closedOpen(final C lower, final C upper) {
return range(lower, BoundType.CLOSED, upper, BoundType.OPEN);
}
public static <C> Range<C> closedOpen(final C lower, final C upper, final Comparator<? super C> comparator) {
return range(lower, BoundType.CLOSED, upper, BoundType.OPEN, comparator);
}
public static <C extends Comparable<? super C>> Range<C> closed(final C lower, final C upper) {
return range(lower, BoundType.CLOSED, upper, BoundType.CLOSED);
}
public static <C> Range<C> closed(final C lower, final C upper, final Comparator<? super C> comparator) {
return range(lower, BoundType.CLOSED, upper, BoundType.CLOSED, comparator);
}
public static <C extends Comparable<? super C>> Range<C> singleton(final C value) {
return range(value, BoundType.CLOSED, value, BoundType.CLOSED);
}
public static <C> Range<C> singleton(final C value, final Comparator<? super C> comparator) {
return range(value, BoundType.CLOSED, value, BoundType.CLOSED, comparator);
}
public static <C extends Comparable<? super C>> Range<C> empty() {
return range((C) null, BoundType.CLOSED, null, BoundType.CLOSED);
}
public static <C> Range<C> empty(final Comparator<? super C> comparator) {
return range((C) null, BoundType.CLOSED, null, BoundType.CLOSED, comparator);
}
public static <C extends Comparable<? super C>> Range<C> encloseAll(final Iterable<C> values) {
C lower = values.iterator().next();
C upper = lower;
for (final C i : values) {
if (lower.compareTo(i) > 0) lower = i;
if (upper.compareTo(i) < 0) upper = i;
}
return range(lower, BoundType.CLOSED, upper, BoundType.CLOSED);
}
public static <C> Range<C> encloseAll(final Iterable<C> values, final Comparator<? super C> comparator) {
C lower = values.iterator().next();
C upper = lower;
for (final C i : values) {
if (comparator.compare(lower, i) > 0) lower = i;
if (comparator.compare(upper, i) < 0) upper = i;
}
return range(lower, BoundType.CLOSED, upper, BoundType.CLOSED, comparator);
}
protected int compareLower(final C value) {
return compareLower(value, BoundType.CLOSED);
}
protected int compareLower(final C value, final BoundType boundType) {
return compareLower(lower, lowerType, value, boundType);
}
protected int compareLower(final C lower, final BoundType lowerType, final C value) {
return compareLower(lower, lowerType, value, BoundType.CLOSED);
}
protected int compareLower(final C lower, final BoundType lowerType, final C value, final BoundType boundType) {
if (lower == null) return value == null ? 0 : -1;
else if (value == null) return 1;
int compare;
if (comparator == null) {
@SuppressWarnings("unchecked")
final Comparable<C> comp = (Comparable<C>) lower;
compare = comp.compareTo(value);
} else compare = comparator.compare(lower, value);
if (compare == 0) {
if (lowerType == BoundType.CLOSED) --compare;
if (boundType == BoundType.CLOSED) ++compare;
}
return compare;
}
protected int compareUpper(final C value) {
return compareUpper(value, BoundType.CLOSED);
}
protected int compareUpper(final C value, final BoundType boundType) {
return compareUpper(upper, upperType, value, boundType);
}
protected int compareUpper(final C upper, final BoundType upperType, final C value) {
return compareUpper(upper, upperType, value, BoundType.CLOSED);
}
protected int compareUpper(final C upper, final BoundType upperType, final C value, final BoundType boundType) {
if (upper == null) return value == null ? 0 : 1;
if (value == null) return -1;
int compare;
if (comparator == null) {
@SuppressWarnings("unchecked")
final Comparable<C> comp = (Comparable<C>) upper;
compare = comp.compareTo(value);
} else compare = comparator.compare(upper, value);
if (compare == 0) {
if (upperType == BoundType.CLOSED) ++compare;
if (boundType == BoundType.CLOSED) --compare;
}
return compare;
}
public boolean hasLowerBound() {
return lower != null;
}
public C lowerEndpoint() {
if (hasLowerBound()) return lower;
throw new IllegalStateException();
}
public BoundType lowerBoundType() {
if (hasLowerBound()) return lowerType;
throw new IllegalStateException();
}
public boolean hasUpperBound() {
return upper != null;
}
public C upperEndpoint() {
if (hasUpperBound()) return upper;
throw new IllegalStateException();
}
public BoundType upperBoundType() {
if (hasUpperBound()) return upperType;
throw new IllegalStateException();
}
/**
* この区間が空集合か判定します。
*
* @return 空集合ならばtrue
*/
public boolean isEmpty() { return lower == null && upper == null && lowerType == BoundType.CLOSED; }
/**
* 与えられた引数が区間の左側に位置するか判定します。<br>
* 接する場合は区間の左側ではないと判定します。
*
* @param value 調べる引数
* @return 区間の左側に位置するならtrue
*/
public boolean isLess(final C value) {
return isLess(value, BoundType.CLOSED);
}
protected boolean isLess(final C value, final BoundType boundType) {
return compareLower(value, boundType) > 0;
}
/**
* 与えられた引数が区間の右側に位置するか判定します。<br>
* 接する場合は区間の右側ではないと判定します。
*
* @param value 調べる引数
* @return 区間の右側に位置するならtrue
*/
public boolean isGreater(final C value) {
return isGreater(value, BoundType.CLOSED);
}
private boolean isGreater(final C value, final BoundType boundType) {
return compareUpper(value, boundType) < 0;
}
/**
* 与えられた引数が区間内に位置するか判定します。<br>
* 接する場合も区間内に位置すると判定します。
*
* @param value 調べる引数
* @return 区間内に位置するならtrue
*/
public boolean contains(final C value) {
return !isLess(value) && !isGreater(value) && !isEmpty();
}
/**
* 与えられた引数すべてが区間内に位置するか判定します。<br>
* 接する場合も区間内に位置すると判定します。
*
* @param value 調べる要素
* @return 全ての要素が区間内に位置するならtrue
*/
public boolean containsAll(final Iterable<? extends C> values) {
for (final C i : values) if (!contains(i)) return false;
return true;
}
/**
* 与えられた区間がこの区間に内包されるか判定します。<br>
*
* @param other
* @return 与えられた区間がこの区間に内包されるならtrue
*/
public boolean encloses(final Range<C> other) {
return !isLess(other.lower, other.lowerType) && !isGreater(other.upper, other.upperType);
}
/**
* 与えられた区間がこの区間と公差するか判定します。<br>
* 接する場合は公差するものとします。
*
* @param value 調べる引数
* @return 区間が交差するならtrue
*/
public boolean isConnected(final Range<C> other) {
if (this.isEmpty() || other.isEmpty()) return false;
C lower, upper;
BoundType lowerType, upperType;
if (isLess(other.lower, other.lowerType)) {
lower = other.lower;
lowerType = other.lowerType;
} else {
lower = this.lower;
lowerType = this.lowerType;
}
if (isGreater(other.upper, other.upperType)) {
upper = other.upper;
upperType = other.upperType;
} else {
upper = this.upper;
upperType = this.upperType;
}
if (lower == null || upper == null) return true;
final int comp = compareLower(lower, lowerType, upper, upperType);
return comp <= 0;
}
/**
* この区間との積集合を返します。
*
* @param connectedRange 積集合を求める区間
* @return 積集合
*/
public Range<C> intersection(final Range<C> connectedRange) {
if (this.isEmpty() || connectedRange.isEmpty()) {
if (comparator == null) return new Range<>(null, BoundType.CLOSED, null, BoundType.CLOSED);
return empty(comparator);
}
C lower, upper;
BoundType lowerType, upperType;
if (isLess(connectedRange.lower, connectedRange.lowerType)) {
lower = connectedRange.lower;
lowerType = connectedRange.lowerType;
} else {
lower = this.lower;
lowerType = this.lowerType;
}
if (isGreater(connectedRange.upper, connectedRange.upperType)) {
upper = connectedRange.upper;
upperType = connectedRange.upperType;
} else {
upper = this.upper;
upperType = this.upperType;
}
if (comparator == null) { return new Range<>(lower, lowerType, upper, upperType); }
return range(lower, lowerType, upper, upperType, comparator);
}
/**
* この区間との和集合を返します。
*
* @param other 和集合を求める区間
* @return 和集合
*/
public Range<C> span(final Range<C> other) {
if (other.isEmpty()) return new Range<>(lower, lowerType, upper, upperType);
C lower, upper;
BoundType lowerType, upperType;
if (isLess(other.lower, other.lowerType)) {
lower = this.lower;
lowerType = this.lowerType;
} else {
lower = other.lower;
lowerType = other.lowerType;
}
if (isGreater(other.upper, other.upperType)) {
upper = this.upper;
upperType = this.upperType;
} else {
upper = other.upper;
upperType = other.upperType;
}
return new Range<>(lower, lowerType, upper, upperType, comparator);
}
/**
* 区間スケジューリングを行います。<br>
* 計算量は要素数Nに対してO(NlogN)です。
*
* @param ranges 区間の集合
* @return 区間スケジューリングを行った際の一つの解
*/
public static <C> List<Range<C>> scheduling(final List<Range<C>> ranges) {
final PriorityQueue<Range<C>> pq = new PriorityQueue<>((l, r) -> l.compareUpper(r.upper, r.upperType));
final List<Range<C>> ret = new ArrayList<>();
Range<C> last = pq.poll();
if (pq.isEmpty()) return ret;
ret.add(last);
while (!pq.isEmpty()) {
final Range<C> tmp = pq.poll();
if (tmp.compareLower(last.upper, last.upperType) > 0) {
ret.add(tmp);
last = tmp;
}
}
return ret;
}
@Override
public boolean equals(final Object object) {
if (this == object) return true;
if (object instanceof Range) {
@SuppressWarnings("unchecked")
final Range<C> comp = (Range<C>) object;
return compareLower(comp.lower, comp.lowerType) == 0 && compareUpper(comp.upper, comp.upperType) == 0
&& lowerType == comp.lowerType && upperType == comp.upperType;
}
return false;
}
@Override
public int hashCode() {
if (lower == null && upper == null) return 0;
else if (lower == null) return upper.hashCode();
else if (upper == null) return lower.hashCode();
return lower.hashCode() ^ upper.hashCode();
}
@Override
public String toString() {
if (isEmpty()) return "()";
return (lowerType == BoundType.OPEN ? "(" : "[") + (lower == null ? "" : lower.toString()) + ".."
+ (upper == null ? "" : upper.toString()) + (upperType == BoundType.OPEN ? ")" : "]");
}
}
public static class IterableRange<C> extends Range<C> implements Iterable<C> {
private static final long serialVersionUID = 9065915259748260688L;
protected UnaryOperator<C> func;
protected IterableRange(final C lower, final BoundType lowerType, final C upper, final BoundType upperType,
final UnaryOperator<C> func) {
super(lower, lowerType, upper, upperType);
this.func = func;
}
public static <C extends Comparable<? super C>> IterableRange<C> range(final C lower, final BoundType lowerType,
final C upper, final BoundType upperType, final UnaryOperator<C> func) {
if (lower == null || upper == null)
return new IterableRange<>(null, BoundType.CLOSED, null, BoundType.CLOSED, func);
final int comp = lower.compareTo(upper);
if (comp > 0) return new IterableRange<>(null, BoundType.CLOSED, null, BoundType.CLOSED, func);
else if (comp == 0 && (lowerType == BoundType.OPEN || upperType == BoundType.OPEN))
return new IterableRange<>(null, BoundType.CLOSED, null, BoundType.CLOSED, func);
return new IterableRange<>(lower, lowerType, upper, upperType, func);
}
public static <C extends Comparable<? super C>> IterableRange<C> open(final C lower, final C upper,
final UnaryOperator<C> func) {
if (lower == null) return new IterableRange<>(null, BoundType.CLOSED, null, BoundType.CLOSED, func);
return range(func.apply(lower), BoundType.CLOSED, upper, BoundType.OPEN, func);
}
public static <C extends Comparable<? super C>> IterableRange<C> openClosed(final C lower, final C upper,
final UnaryOperator<C> func) {
if (lower == null) return new IterableRange<>(null, BoundType.CLOSED, null, BoundType.CLOSED, func);
return range(func.apply(lower), BoundType.CLOSED, upper, BoundType.CLOSED, func);
}
public static <C extends Comparable<? super C>> IterableRange<C> closedOpen(final C lower, final C upper,
final UnaryOperator<C> func) {
return range(lower, BoundType.CLOSED, upper, BoundType.OPEN, func);
}
public static <C extends Comparable<? super C>> IterableRange<C> closed(final C lower, final C upper,
final UnaryOperator<C> func) {
return range(lower, BoundType.CLOSED, upper, BoundType.CLOSED, func);
}
public static <C extends Comparable<? super C>> IterableRange<C> singleton(final C value,
final UnaryOperator<C> func) {
return range(value, BoundType.CLOSED, value, BoundType.CLOSED, func);
}
protected class Iter implements Iterator<C> {
C now;
Iter() {
now = lower;
}
@Override
public final boolean hasNext() {
return !isGreater(now);
}
@Override
public final C next() {
final C ret = now;
now = func.apply(now);
return ret;
}
@Override
public final void remove() {
throw new UnsupportedOperationException();
}
}
protected class EmptyIter implements Iterator<C> {
@Override
public boolean hasNext() {
return false;
}
@Override
public C next() {
return null;
}
@Override
public final void remove() {
throw new UnsupportedOperationException();
}
}
@Override
public Iterator<C> iterator() {
return lower == null || upper == null ? new EmptyIter() : new Iter();
}
public int getDistance() {
C check = upper;
int ret = 0;
while (lower != check) {
check = func.apply(check);
++ret;
}
return ret;
}
}
public static class IntRange extends IterableRange<Integer> {
private static final long serialVersionUID = 5623995336491967216L;
private final boolean useFastIter;
private static class Next implements UnaryOperator<Integer> {
@Override
public Integer apply(final Integer value) {
return value + 1;
}
}
protected IntRange() {
super(null, BoundType.CLOSED, null, BoundType.CLOSED, new Next());
useFastIter = true;
}
protected IntRange(final UnaryOperator<Integer> func) {
super(null, BoundType.CLOSED, null, BoundType.CLOSED, func);
useFastIter = false;
}
protected IntRange(final int lower, final BoundType lowerType, final int upper, final BoundType upperType) {
super(lower, lowerType, upper, upperType, new Next());
useFastIter = true;
}
protected IntRange(final int lower, final BoundType lowerType, final int upper, final BoundType upperType,
final UnaryOperator<Integer> func) {
super(lower, lowerType, upper, upperType, func);
useFastIter = false;
}
public static IntRange range(int lower, final BoundType lowerType, int upper, final BoundType upperType) {
if (lower > upper) return new IntRange();
if (lowerType == BoundType.OPEN) ++lower;
if (upperType == BoundType.OPEN) --upper;
return new IntRange(lower, BoundType.CLOSED, upper, BoundType.CLOSED);
}
public static IntRange range(int lower, final BoundType lowerType, int upper, final BoundType upperType,
final UnaryOperator<Integer> func) {
if (lower > upper) return new IntRange(func);
if (lowerType == BoundType.OPEN) ++lower;
if (upperType == BoundType.OPEN) --upper;
return new IntRange(lower, BoundType.CLOSED, upper, BoundType.CLOSED, func);
}
public static IntRange open(final int lower, final int upper) {
return range(lower, BoundType.OPEN, upper, BoundType.OPEN);
}
public static IntRange open(final int lower, final int upper, final UnaryOperator<Integer> func) {
return range(lower, BoundType.OPEN, upper, BoundType.OPEN, func);
}
public static IntRange open(final int upper) {
return range(0, BoundType.CLOSED, upper, BoundType.OPEN);
}
public static IntRange open(final int upper, final UnaryOperator<Integer> func) {
return range(0, BoundType.CLOSED, upper, BoundType.OPEN, func);
}
public static IntRange openClosed(final int lower, final int upper) {
return range(lower, BoundType.OPEN, upper, BoundType.CLOSED);
}
public static IntRange openClosed(final int lower, final int upper, final UnaryOperator<Integer> func) {
return range(lower, BoundType.OPEN, upper, BoundType.CLOSED, func);
}
public static IntRange closedOpen(final int lower, final int upper) {
return range(lower, BoundType.CLOSED, upper, BoundType.OPEN);
}
public static IntRange closedOpen(final int lower, final int upper, final UnaryOperator<Integer> func) {
return range(lower, BoundType.CLOSED, upper, BoundType.OPEN, func);
}
public static IntRange closed(final int lower, final int upper) {
return range(lower, BoundType.CLOSED, upper, BoundType.CLOSED);
}
public static IntRange closed(final int lower, final int upper, final UnaryOperator<Integer> func) {
return range(lower, BoundType.CLOSED, upper, BoundType.CLOSED, func);
}
public static IntRange closed(final int upper) {
return range(0, BoundType.CLOSED, upper, BoundType.CLOSED);
}
public static IntRange closed(final int upper, final UnaryOperator<Integer> func) {
return range(0, BoundType.CLOSED, upper, BoundType.CLOSED, func);
}
public static IntRange singleton(final int value) {
return range(value, BoundType.CLOSED, value, BoundType.CLOSED);
}
public static IntRange singleton(final int value, final UnaryOperator<Integer> func) {
return range(value, BoundType.CLOSED, value, BoundType.CLOSED, func);
}
private class FastIter implements Iterator<Integer> {
int now;
public FastIter() {
now = lower;
}
@Override
public final boolean hasNext() {
return now <= upper;
}
@Override
public final Integer next() {
return now++;
}
@Override
public final void remove() {
throw new UnsupportedOperationException();
}
}
private class Iter implements Iterator<Integer> {
int now;
public Iter() {
now = lower;
}
@Override
public final boolean hasNext() {
return now <= upper;
}
@Override
public final Integer next() {
final int ret = now;
now = func.apply(now);
return ret;
}
@Override
public final void remove() {
throw new UnsupportedOperationException();
}
}
@Override
public Iterator<Integer> iterator() {
return lower == null || upper == null ? new EmptyIter() : useFastIter ? new FastIter() : new Iter();
}
@Override
public int getDistance() {
int ret = upper - lower;
if (upperType == BoundType.CLOSED) ++ret;
return ret;
}
public int getClosedLower() { return lower; }
public int getOpenLower() { return lower - 1; }
public int getClosedUpper() { return upperType == BoundType.CLOSED ? upper : upper - 1; }
public int getOpenUpper() { return upperType == BoundType.CLOSED ? upper + 1 : upper; }
/**
* 区間スケジューリングを行います。<br>
* 計算量は要素数Nに対してO(NlogN)です。
*
* @param ranges 区間の集合
* @return 区間スケジューリングを行った際の一つの解
*/
public static List<IntRange> intScheduling(final List<IntRange> ranges) {
final PriorityQueue<IntRange> pq = new PriorityQueue<>((l, r) -> l.compareUpper(r.upper, r.upperType));
pq.addAll(ranges);
final List<IntRange> ret = new ArrayList<>();
if (pq.isEmpty()) return ret;
IntRange last = pq.poll();
ret.add(last);
while (!pq.isEmpty()) {
final IntRange tmp = pq.poll();
if (tmp.compareLower(last.upper, last.upperType) > 0) {
ret.add(tmp);
last = tmp;
}
}
return ret;
}
}
/**
* 演算が結合法則を満たすことを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
*/
public interface Associative<T> extends BinaryOperator<T> {
/**
* repeat個のelementを順次演算した値を返します。
*
* @param element 演算する値
* @param repeat 繰り返す回数、1以上であること
* @return 演算を+として、element + element + ... + elementと演算をrepeat-1回行った値
*/
public default T hyper(final T element, int repeat) {
if (repeat < 1) throw new IllegalArgumentException("undefined operation");
T ret = element;
--repeat;
for (T mul = element; repeat > 0; repeat >>= 1, mul = apply(mul, mul))
if ((repeat & 1) != 0) ret = apply(ret, mul);
return ret;
}
}
/**
* この演算が逆元を持つことを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
*/
public interface Inverse<T> extends BinaryOperator<T> {
public T inverse(T element);
}
/**
* 演算が交換法則を満たすことを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
*/
public interface Commutative<T> extends BinaryOperator<T> {
}
/**
* 演算が単位元を持つことを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
*/
public interface Identity<T> extends BinaryOperator<T> {
/**
* 単位元を返します。
*
* @return 単位元
*/
public T identity();
}
/**
* 演算が群であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
*/
public interface Group<T> extends Monoid<T>, Inverse<T> {
/**
* repeat個のelementを順次演算した値を返します。
*
* @param element 演算する値
* @param repeat 繰り返す回数
* @return 演算を+として、element + element + ... + elementと演算をrepeat-1回行った値
*/
@Override
public default T hyper(final T element, int repeat) {
T ret = identity();
if (repeat < 0) {
repeat = -repeat;
for (T mul = element; repeat > 0; repeat >>= 1, mul = apply(mul, mul))
if ((repeat & 1) != 0) ret = apply(ret, mul);
return inverse(ret);
}
for (T mul = element; repeat > 0; repeat >>= 1, mul = apply(mul, mul))
if ((repeat & 1) != 0) ret = apply(ret, mul);
return ret;
}
}
/**
* 演算がモノイドであることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
*/
public interface Monoid<T> extends Associative<T>, Identity<T> {
/**
* repeat個のelementを順次演算した値を返します。
*
* @param element 演算する値
* @param repeat 繰り返す回数、0以上であること
* @return 演算を+として、element + element + ... + elementと演算をrepeat-1回行った値
*/
@Override
public default T hyper(final T element, int repeat) {
if (repeat < 0) throw new IllegalArgumentException("undefined operation");
T ret = identity();
for (T mul = element; repeat > 0; repeat >>= 1, mul = apply(mul, mul))
if ((repeat & 1) != 0) ret = apply(ret, mul);
return ret;
}
}
/**
* 演算が可換モノイドであることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
*/
public interface CommutativeMonoid<T> extends Monoid<T>, Commutative<T> {
}
/**
* 演算がアーベル群(可換群)であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
*/
public interface Abelian<T> extends Group<T>, CommutativeMonoid<T> {
}
/**
* 演算が半環であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
* @param <A> 和に関する演算
* @param <M> 積に関する演算
*/
public interface Semiring<T, A extends CommutativeMonoid<T>, M extends Monoid<T>> {
public A getAddition();
public M getMultiplication();
public default T add(final T left, final T right) {
return getAddition().apply(left, right);
}
public default T multiply(final T left, final T right) {
return getMultiplication().apply(left, right);
}
public default T additiveIdentity() {
return getAddition().identity();
}
public default T multipleIdentity() {
return getMultiplication().identity();
}
public default int characteristic() {
return 0;
}
}
/**
* 演算が環であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
* @param <A> 和に関する演算
* @param <M> 積に関する演算
*/
public interface Ring<T, A extends Abelian<T>, M extends Monoid<T>> extends Semiring<T, A, M> {
}
/**
* 演算が可換環に属することを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
* @param <A> 和に関する演算
* @param <M> 積に関する演算
*/
public interface CommutativeRing<T, A extends Abelian<T>, M extends CommutativeMonoid<T>> extends Ring<T, A, M> {
}
/**
* 演算が整域であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
* @param <A> 和に関する演算
* @param <M> 積に関する演算
*/
public interface IntegralDomain<T, A extends Abelian<T>, M extends CommutativeMonoid<T>>
extends CommutativeRing<T, A, M> {
public boolean isDivisible(T left, T right);
public T divide(T left, T right);
}
/**
* 演算が整閉整域であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
* @param <A> 和に関する演算
* @param <M> 積に関する演算
*/
public interface IntegrallyClosedDomain<T, A extends Abelian<T>, M extends CommutativeMonoid<T>>
extends IntegralDomain<T, A, M> {
}
/**
* 演算がGCD整域であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
* @param <A> 和に関する演算
* @param <M> 積に関する演算
*/
public interface GCDDomain<T, A extends Abelian<T>, M extends CommutativeMonoid<T>>
extends IntegrallyClosedDomain<T, A, M> {
public T gcd(T left, T right);
public T lcm(T left, T right);
}
/**
* 素元を提供します。
*
* @author 31536000
*
* @param <T> 演算の型
*/
public static class PrimeElement<T> {
public final T element;
public PrimeElement(final T element) {
this.element = element;
}
}
public interface MultiSet<E> extends Collection<E> {
public int add(E element, int occurrences);
public int count(Object element);
public Set<E> elementSet();
public boolean remove(Object element, int occurrences);
public int setCount(E element, int count);
public boolean setCount(E element, int oldCount, int newCount);
}
/**
* 演算が一意分解整域であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
* @param <A> 和に関する演算
* @param <M> 積に関する演算
*/
public interface UniqueFactorizationDomain<T, A extends Abelian<T>, M extends CommutativeMonoid<T>>
extends GCDDomain<T, A, M> {
public MultiSet<PrimeElement<T>> PrimeFactorization(T x);
}
/**
* 演算が主イデアル整域であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
* @param <A> 和に関する演算
* @param <M> 積に関する演算
*/
public interface PrincipalIdealDomain<T, A extends Abelian<T>, M extends CommutativeMonoid<T>>
extends UniqueFactorizationDomain<T, A, M> {
}
/**
* 演算がユークリッド整域であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
* @param <A> 和に関する演算
* @param <M> 積に関する演算
*/
public interface EuclideanDomain<T, A extends Abelian<T>, M extends CommutativeMonoid<T>>
extends PrincipalIdealDomain<T, A, M> {
public T reminder(T left, T right);
}
/**
* 演算が体であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
* @param <A> 和に関する演算
* @param <M> 積に関する演算
*/
public interface Field<T, A extends Abelian<T>, M extends Abelian<T>> extends EuclideanDomain<T, A, M> {
@Override
public default boolean isDivisible(final T left, final T right) {
return !right.equals(additiveIdentity());
}
@Override
public default T divide(final T left, final T right) {
if (isDivisible(left, right)) throw new ArithmeticException("divide by Additive Identify");
return multiply(left, getMultiplication().inverse(right));
}
@Override
public default T reminder(final T left, final T right) {
if (isDivisible(left, right)) throw new ArithmeticException("divide by Additive Identify");
return additiveIdentity();
}
@Override
public default T gcd(final T left, final T right) {
return multipleIdentity();
}
@Override
public default T lcm(final T left, final T right) {
return multipleIdentity();
}
@Override
public default MultiSet<PrimeElement<T>> PrimeFactorization(final T x) {
final HashMultiSet<PrimeElement<T>> ret = HashMultiSet.create(1);
ret.add(new PrimeElement<>(x));
return ret;
}
}
public static class HashMultiSet<E> implements MultiSet<E>, Serializable {
private static final long serialVersionUID = -8378919645386251159L;
private final transient HashMap<E, Integer> map;
private transient int size;
private HashMultiSet() {
map = new HashMap<>();
size = 0;
}
private HashMultiSet(final int distinctElements) {
map = new HashMap<>(distinctElements);
size = 0;
}
public static <E> HashMultiSet<E> create() {
return new HashMultiSet<>();
}
public static <E> HashMultiSet<E> create(final int distinctElements) {
return new HashMultiSet<>(distinctElements);
}
public static <E> HashMultiSet<E> create(final Iterable<? extends E> elements) {
final HashMultiSet<E> ret = new HashMultiSet<>();
for (final E i : elements) ret.map.compute(i, (v, e) -> e == null ? 1 : ++e);
return ret;
}
@Override
public int size() {
return size;
}
@Override
public boolean isEmpty() { return size == 0; }
@Override
public boolean contains(final Object o) {
return map.containsKey(o);
}
private class Iter implements Iterator<E> {
private final Iterator<Entry<E, Integer>> iter = map.entrySet().iterator();
private E value;
private int count = 0;
@Override
public boolean hasNext() {
if (count > 0) return true;
if (iter.hasNext()) {
final Entry<E, Integer> entry = iter.next();
value = entry.getKey();
count = entry.getValue();
return true;
}
return false;
}
@Override
public E next() {
--count;
return value;
}
}
@Override
public Iterator<E> iterator() {
return new Iter();
}
@Override
public Object[] toArray() {
final Object[] ret = new Object[size];
int read = 0;
for (final Entry<E, Integer> i : map.entrySet()) Arrays.fill(ret, read, read += i.getValue(), i.getKey());
return ret;
}
@Override
public <T> T[] toArray(final T[] a) {
final Object[] src = toArray();
if (a.length < src.length) {
@SuppressWarnings("unchecked")
final T[] ret = (T[]) Arrays.copyOfRange(src, 0, src.length, a.getClass());
return ret;
}
System.arraycopy(src, 0, a, 0, src.length);
return a;
}
@Override
public boolean add(final E e) {
add(e, 1);
return true;
}
@Override
public boolean remove(final Object o) {
return remove(o, 1);
}
@Override
public boolean containsAll(final Collection<?> c) {
boolean ret = true;
for (final Object i : c) ret |= contains(i);
return ret;
}
@Override
public boolean addAll(final Collection<? extends E> c) {
boolean ret = false;
for (final E i : c) ret |= add(i);
return ret;
}
@Override
public boolean removeAll(final Collection<?> c) {
boolean ret = false;
for (final Object i : c) ret |= remove(i);
return ret;
}
@Override
public boolean retainAll(final Collection<?> c) {
return removeAll(c);
}
@Override
public void clear() {
map.clear();
size = 0;
}
@Override
public int add(final E element, final int occurrences) {
size += occurrences;
return map.compute(element, (k, v) -> v == null ? occurrences : v + occurrences) - occurrences;
}
@Override
public int count(final Object element) {
return map.getOrDefault(element, 0);
}
@Override
public Set<E> elementSet() {
return map.keySet();
}
public Set<Entry<E, Integer>> entrySet() {
return map.entrySet();
}
@Override
public boolean remove(final Object element, final int occurrences) {
try {
@SuppressWarnings("unchecked")
final E put = (E) element;
return map.compute(put, (k, v) -> {
if (v == null) return null;
if (v < occurrences) {
size -= v;
return null;
}
size -= occurrences;
return v - occurrences;
}) != null;
} catch (final ClassCastException E) {
return false;
}
}
@Override
public int setCount(final E element, final int count) {
final Integer ret = map.put(element, count);
final int ret2 = ret == null ? 0 : ret;
size += count - ret2;
return ret2;
}
@Override
public boolean setCount(final E element, final int oldCount, final int newCount) {
final boolean ret = map.replace(element, oldCount, newCount);
if (ret) size += newCount - oldCount;
return ret;
}
}
public static class ModInteger extends Number
implements Field<ModInteger, Abelian<ModInteger>, Abelian<ModInteger>> {
private static final long serialVersionUID = -8595710127161317579L;
private final int mod;
private int num;
private final Addition add;
private final Multiplication mul;
private class Addition implements Abelian<ModInteger> {
@Override
public ModInteger identity() {
return new ModInteger(mod, 0);
}
@Override
public ModInteger inverse(final ModInteger element) {
return new ModInteger(element, element.mod - element.num);
}
@Override
public ModInteger apply(final ModInteger left, final ModInteger right) {
return new ModInteger(left).addEqual(right);
}
}
private class Multiplication implements Abelian<ModInteger> {
@Override
public ModInteger identity() {
return new ModInteger(mod, 1);
}
@Override
public ModInteger apply(final ModInteger left, final ModInteger right) {
return new ModInteger(left).multiplyEqual(right);
}
@Override
public ModInteger inverse(final ModInteger element) {
return new ModInteger(element, element.inverse(element.num));
}
}
@Override
public int characteristic() {
return mod;
}
public ModInteger(final int mod) {
this.mod = mod;
num = 0;
add = new Addition();
mul = new Multiplication();
}
public ModInteger(final int mod, final int num) {
this.mod = mod;
this.num = validNum(num);
add = new Addition();
mul = new Multiplication();
}
public ModInteger(final ModInteger n) {
mod = n.mod;
num = n.num;
add = n.add;
mul = n.mul;
}
private ModInteger(final ModInteger n, final int num) {
mod = n.mod;
this.num = num;
add = n.add;
mul = n.mul;
}
private int validNum(int n) {
n %= mod;
if (n < 0) n += mod;
return n;
}
private int validNum(long n) {
n %= mod;
if (n < 0) n += mod;
return (int) n;
}
protected int inverse(int n) {
int m = mod, u = 0, v = 1, t;
while (n != 0) {
t = m / n;
m -= t * n;
u -= t * v;
if (m != 0) {
t = n / m;
n -= t * m;
v -= t * u;
} else {
v %= mod;
if (v < 0) v += mod;
return v;
}
}
u %= mod;
if (u < 0) u += mod;
return u;
}
public boolean isPrime(final int n) {
if ((n & 1) == 0) return false; // 偶数
for (int i = 3, j = 8, k = 9; k <= n; i += 2, k += j += 8) if (n % i == 0) return false;
return true;
}
@Override
public int intValue() {
return num;
}
@Override
public long longValue() {
return num;
}
@Override
public float floatValue() {
return num;
}
@Override
public double doubleValue() {
return num;
}
protected ModInteger getNewInstance(final ModInteger mod) {
return new ModInteger(mod);
}
public ModInteger add(final int n) {
return getNewInstance(this).addEqual(n);
}
public ModInteger add(final long n) {
return getNewInstance(this).addEqual(n);
}
public ModInteger add(final ModInteger n) {
return getNewInstance(this).addEqual(n);
}
public ModInteger addEqual(final int n) {
num = validNum(num + n);
return this;
}
public ModInteger addEqual(final long n) {
num = validNum(num + n);
return this;
}
public ModInteger addEqual(final ModInteger n) {
if ((num += n.num) >= mod) num -= mod;
return this;
}
public ModInteger subtract(final int n) {
return getNewInstance(this).subtractEqual(n);
}
public ModInteger subtract(final long n) {
return getNewInstance(this).subtractEqual(n);
}
public ModInteger subtract(final ModInteger n) {
return getNewInstance(this).subtractEqual(n);
}
public ModInteger subtractEqual(final int n) {
num = validNum(num - n);
return this;
}
public ModInteger subtractEqual(final long n) {
num = validNum(num - n);
return this;
}
public ModInteger subtractEqual(final ModInteger n) {
if ((num -= n.num) < 0) num += mod;
return this;
}
public ModInteger multiply(final int n) {
return getNewInstance(this).multiplyEqual(n);
}
public ModInteger multiply(final long n) {
return getNewInstance(this).multiplyEqual(n);
}
public ModInteger multiply(final ModInteger n) {
return getNewInstance(this).multiplyEqual(n);
}
public ModInteger multiplyEqual(final int n) {
num = (int) ((long) num * n % mod);
if (num < 0) num += mod;
return this;
}
public ModInteger multiplyEqual(final long n) {
return multiplyEqual((int) (n % mod));
}
public ModInteger multiplyEqual(final ModInteger n) {
num = (int) ((long) num * n.num % mod);
return this;
}
public ModInteger divide(final int n) {
return getNewInstance(this).divideEqual(n);
}
public ModInteger divide(final long n) {
return getNewInstance(this).divideEqual(n);
}
public ModInteger divide(final ModInteger n) {
return getNewInstance(this).divideEqual(n);
}
public ModInteger divideEqual(final int n) {
num = (int) ((long) num * inverse(validNum(n)) % mod);
return this;
}
public ModInteger divideEqual(final long n) {
return divideEqual((int) (n % mod));
}
public ModInteger divideEqual(final ModInteger n) {
num = (int) ((long) num * n.inverse(n.num) % mod);
return this;
}
public ModInteger pow(final int n) {
return getNewInstance(this).powEqual(n);
}
public ModInteger pow(final long n) {
return getNewInstance(this).powEqual(n);
}
public ModInteger pow(final ModInteger n) {
return getNewInstance(this).powEqual(n);
}
public ModInteger powEqual(int n) {
long ans = 1, num = this.num;
if (n < 0) {
n = -n;
while (n != 0) {
if ((n & 1) != 0) ans = ans * num % mod;
n >>>= 1;
num = num * num % mod;
}
this.num = inverse((int) ans);
return this;
}
while (n != 0) {
if ((n & 1) != 0) ans = ans * num % mod;
n >>>= 1;
num = num * num % mod;
}
this.num = (int) ans;
return this;
}
public ModInteger powEqual(final long n) {
return powEqual((int) (n % (mod - 1)));
}
public ModInteger powEqual(final ModInteger n) {
long num = this.num;
this.num = 1;
int mul = n.num;
while (mul != 0) {
if ((mul & 1) != 0) this.num *= num;
mul >>>= 1;
num *= num;
num %= mod;
}
return this;
}
public ModInteger equal(final int n) {
num = validNum(n);
return this;
}
public ModInteger equal(final long n) {
num = validNum(n);
return this;
}
public ModInteger equal(final ModInteger n) {
num = n.num;
return this;
}
public int toInt() {
return num;
}
public int getMod() { return mod; }
@Override
public boolean equals(final Object x) {
if (x instanceof ModInteger) return ((ModInteger) x).num == num && ((ModInteger) x).mod == mod;
return false;
}
@Override
public int hashCode() {
return num ^ mod;
}
@Override
public String toString() {
return String.valueOf(num);
}
@Deprecated
public String debug() {
int min = num, ans = 1;
for (int i = 2; i < min; ++i) {
final int tmp = multiply(i).num;
if (min > tmp) {
min = tmp;
ans = i;
}
}
return min + "/" + ans;
}
@Override
public Addition getAddition() { return add; }
@Override
public Multiplication getMultiplication() { return mul; }
}
/**
* 素数を法とする演算上で、組み合わせの計算を高速に行います。
*
* @author 31536000
*
*/
public static class ModUtility {
private final int mod;
private int[] fact, inv, invfact;
/**
* modを法として、演算を行います。
*
* @param mod 法とする素数
*/
public ModUtility(final Prime mod) {
this(mod, 2);
}
/**
* modを法として、演算を行います。
*
* @param mod 法とする素数
* @param calc 予め前計算しておく大きさ
*/
public ModUtility(final Prime mod, final int calc) {
this.mod = mod.prime;
precalc(calc);
}
/**
* calcの大きさだけ、前計算を行います。
*
* @param calc 前計算をする大きさ
*/
public void precalc(int calc) {
++calc;
if (calc < 2) calc = 2;
if (calc > mod) calc = mod;
fact = new int[calc];
inv = new int[calc];
invfact = new int[calc];
fact[0] = invfact[0] = fact[1] = invfact[1] = inv[1] = 1;
for (int i = 2; i < calc; ++i) {
fact[i] = (int) ((long) fact[i - 1] * i % mod);
inv[i] = (int) (mod - (long) inv[mod % i] * (mod / i) % mod);
invfact[i] = (int) ((long) invfact[i - 1] * inv[i] % mod);
}
}
/**
* modを法とする剰余環上で振舞う整数を返します。
*
* @return modを法とする整数、初期値は0
*/
public ModInteger create() {
return new ModInt();
}
/**
* modを法とする剰余環上で振舞う整数を返します。
*
* @param n 初期値
* @return modを法とする整数
*/
public ModInteger create(final int n) {
return new ModInt(n);
}
private class ModInt extends ModInteger {
private static final long serialVersionUID = -2435281861935422575L;
public ModInt() {
super(mod);
}
public ModInt(final int n) {
super(mod, n);
}
public ModInt(final ModInteger mod) {
super(mod);
}
@Override
protected ModInteger getNewInstance(final ModInteger mod) {
return new ModInt(mod);
}
@Override
protected int inverse(final int n) {
return ModUtility.this.inverse(n);
}
}
/**
* modを法として、nの逆元を返します。<br>
* 計算量はO(log n)です。
*
* @param n 逆元を求めたい値
* @return 逆元
*/
public int inverse(int n) {
try {
if (inv.length > n) return inv[n];
int m = mod, u = 0, v = 1, t;
while (n != 0) {
t = m / n;
m -= t * n;
u -= t * v;
if (m != 0) {
t = n / m;
n -= t * m;
v -= t * u;
} else {
v %= mod;
if (v < 0) v += mod;
return v;
}
}
u %= mod;
if (u < 0) u += mod;
return u;
} catch (final ArrayIndexOutOfBoundsException e) {
throw new IllegalArgumentException();
}
}
/**
* n!を、modを法として求めた値を返します。<br>
* 計算量はO(n)です。
*
* @param n 階乗を求めたい値
* @return nの階乗をmodで割った余り
*/
public int factorial(final int n) {
try {
if (fact.length > n) return fact[n];
long ret = fact[fact.length - 1];
for (int i = fact.length; i <= n; ++i) ret = ret * i % mod;
return (int) ret;
} catch (final ArrayIndexOutOfBoundsException e) {
throw new IllegalArgumentException();
}
}
/**
* nPkをmodで割った余りを求めます。<br>
* 計算量はO(n-k)です。
*
* @param n 左辺
* @param k 右辺
* @return nPkをmodで割った余り
*/
public int permutation(final int n, final int k) {
if (n < 0) throw new IllegalArgumentException();
if (n < k) return 0;
if (fact.length > n) return (int) ((long) fact[n] * invfact[n - k] % mod);
long ret = 1;
for (int i = n - k + 1; i <= n; ++i) ret = ret * i % mod;
return (int) ret;
}
/**
* nCkをmodで割った余りを求めます。<br>
* 計算量はO(min(plogn, n-k))です。
*
* @param n 左辺
* @param k 右辺
* @return nCkをmodで割った余り
*/
public int combination(int n, int k) {
if (n < 0) throw new IllegalArgumentException();
if (n < k) return 0;
if (fact.length > n) return (int) ((long) fact[n] * invfact[k] % mod * invfact[n - k] % mod);
long ret = 1;
if (n >= mod) {
if (mod == 2) return (~n & k) == 0 ? 1 : 0;
while (n > 0) {
ret = ret * combination(n % mod, k % mod) % mod;
n /= mod;
k /= mod;
}
return (int) ret;
}
if (n < 2 * k) k = n - k;
ret = invfact.length > k ? invfact[k] : inverse(factorial(k));
for (int i = n - k + 1; i <= n; ++i) ret = ret * i % mod;
return (int) ret;
}
/**
* 他項係数をmodで割った余りを求めます。<br>
* ] 計算量はO(n)です。
*
* @param n 左辺
* @param k 右辺、合計がn以下である必要がある
* @return 他項係数
*/
public int multinomial(final int n, final int... k) {
int sum = 0;
long ret = factorial(n);
if (fact.length > n) {
for (final int i : k) {
if (i < 0) throw new IllegalArgumentException();
ret = ret * invfact[i] % mod;
sum += i;
}
if (sum > n) return 0;
ret = ret * invfact[n - sum] % mod;
} else {
for (final int i : k) {
if (i < 0) throw new IllegalArgumentException();
if (invfact.length > i) ret = ret * invfact[i] % mod;
else ret = ret * inverse(factorial(i)) % mod;
sum += i;
}
if (sum > n) return 0;
if (invfact.length > n - sum) ret = ret * invfact[n - sum] % mod;
else ret = ret * inverse(factorial(n - sum)) % mod;
}
return (int) ret;
}
/**
* n個からk個を選ぶ重複組み合わせnHkをmodで割った余りを求めます。<br>
* 計算量はO(min(n, k))です。
*
* @param n 左辺
* @param k 右辺
* @return nHkをmodで割った余り
*/
public int multichoose(final int n, final int k) {
return combination(mod(n + k - 1), k);
}
/**
* カタラン数C(n)をmodで割った余りを求めます。<br>
* 計算量はO(n)です。
*
* @param n 求めたいカタラン数の番号
* @return カタラン数
*/
public int catalan(final int n) {
return divide(combination(mod(2 * n), n), mod(n + 1));
}
/**
* 第一種スターリング数S(n, k)をmodで割った余りを求めます。<br>
* 計算量はO(nk)です。 // TODO NTTを使うとO(n log n)、未実装
*
* @param n 左辺
* @param k 右辺
* @return S(n, k)をmodで割った余り
*/
public int firstStirling(final int n, final int k) {
final int[] stirling = new int[(n + 1) * (k + 1)];
stirling[0] = 1;
final int h = k + 1;
for (int i = 0; i < n; ++i) {
for (int j = 0; j < k; ++j) {
final int tmp = stirling[i * h + j] + (int) ((long) i * stirling[i * h + j + 1] % mod);
stirling[(i + 1) * h + j + 1] = tmp >= mod ? tmp - mod : tmp;
}
}
return stirling[stirling.length - 1];
}
/**
* 第二種スターリング数S(n, k)をmodで割った余りを求めます。<br>
* 計算量はO(k)です。
*
* @param n 左辺
* @param k 右辺
* @return S(n, k)をmodで割った余り
*/
public int secondStirling(final int n, final int k) {
if (k == 0) return n == 0 ? 1 : 0;
final int[] sieve = new int[k + 1], prime = new int[k + 1];
int size = 0;
sieve[1] = 1;
for (int i = 2; i <= k; ++i) {
if (sieve[i] == 0) prime[size++] = sieve[i] = i;
for (int j = 0, s; j < size && prime[j] <= sieve[i] && (s = i * prime[j]) <= k; ++j)
sieve[s] = prime[j];
}
long ans = 0;
for (int i = 1, s; i <= k; ++i) {
final long tmp = (long) combination(k, i)
* (prime[i] = (s = sieve[i]) == i ? pow(i, n) : (int) ((long) prime[s] * prime[i / s] % mod))
% mod;
ans += (k - i & 1) != 0 ? -tmp : tmp;
}
return (int) ((long) mod(ans) * invfact[k] % mod);
}
/**
* ベル数B(n, k)をmodで割った余りを求めます。<br>
* 計算量はO(k)です。
*
* @param n 左辺
* @param k 右辺
* @return B(n, k)をmodで割った余り
*/
public int bell(final int n, final int k) {
if (k == 0) return n == 0 ? 1 : 0;
final int[] sieve = new int[k + 1], prime = new int[k + 1];
int size = 0;
sieve[1] = 1;
long sum = 0;
for (int i = 2; i <= k; ++i) {
if (sieve[i] == 0) prime[size++] = sieve[i] = i;
for (int j = 0, s; j < size && prime[j] <= sieve[i] && (s = i * prime[j]) <= k; ++j)
sieve[s] = prime[j];
sum += (i & 1) != 0 ? -invfact[i] : invfact[i];
}
sum = mod(sum);
long ans = 0;
for (int i = 0, s; i <= k; ++i) {
final long tmp = (long) (prime[i] = (s = sieve[i]) == i ? pow(i, n)
: (int) ((long) prime[s] * prime[i / s] % mod)) * invfact[i] % mod;
ans += tmp * sum % mod;
if ((sum -= (k - i & 1) != 0 ? -invfact[k - i] : invfact[k - i]) < 0) sum += mod;
}
return mod(ans);
}
/**
* ベル数B(n)をmodで割った余りを求めます。<br>
* 計算量はO(n)です。
*
* @param n 求めたいベル数の番号
* @return B(n)
*/
public int bell(final int n) {
return bell(n, n);
}
/**
* 分割数P(n, k)をmodで割った余りを求めます。<br>
* 計算量はO(nk)です。 // TODO NTTを使うとO(n log n)、未実装
*
* @param n 左辺
* @param k 右辺
* @return P(n, k)をmodで割った余り
*/
public int pertition(final int n, final int k) {
final int[] pertition = new int[(n + 1) * (k + 1)];
pertition[0] = 1;
final int h = k + 1;
for (int i = 0; i <= n; ++i) {
for (int j = 1, l = Math.min(i, k); j <= l; ++j)
pertition[i * h + j] = pertition[i * h + j - 1] + pertition[(i - j) * h + j];
for (int j = i; j < k; ++j) pertition[i * h + j + 1] = pertition[i * h + j];
}
return pertition[n * h + k];
}
/**
* 分割数P(n)をmodで割った余りを求めます。<br>
* 計算量はO(n sqrt(n))です。 // TODO NTTを使うとO(n log n)、未実装
*
* @param n 求めたい分割数の番号
* @return P(n)
*/
public int pertition(final int n) {
final long[] pertition = new long[n + 1];
pertition[0] = 1;
for (int i = 1; i <= n; ++i) {
for (int j = 1, t; (t = i - (j * (3 * j - 1) >> 1)) >= 0; ++j) {
pertition[i] += (j & 1) != 0 ? pertition[t] : -pertition[t];
}
for (int j = 1, t; (t = i - (j * (3 * j + 1) >> 1)) >= 0; ++j) {
pertition[i] += (j & 1) != 0 ? pertition[t] : -pertition[t];
}
pertition[i] %= mod;
}
return (int) pertition[n];
}
/**
* nのm乗をmodで割った余りを求めます。<br>
* 計算量はO(log m)です。
*
* @param n 床
* @param m 冪指数
* @return n^mをmodで割った余り
*/
public int pow(final int n, int m) {
long ans = 1, num = n;
if (m < 0) {
m = -m;
while (m != 0) {
if ((m & 1) != 0) ans = ans * num % mod;
m >>>= 1;
num = num * num % mod;
}
return inverse((int) ans);
}
while (m != 0) {
if ((m & 1) != 0) ans = ans * num % mod;
m >>>= 1;
num = num * num % mod;
}
return (int) ans;
}
/**
* nのm乗をmodで割った余りを求めます。<br>
* 計算量はO(log m)です。
*
* @param n 床
* @param m 冪指数
* @return n^mをmodで割った余り
*/
public int pow(final long n, final long m) {
return pow((int) (n % mod), (int) (m % (mod - 1)));
}
/**
* 現在のmod値のトーシェント数を返します。<br>
* なお、これはmod-1に等しいです。
*
* @return トーシェント数
*/
public int totient() {
return mod - 1;
}
/**
* nのトーシェント数を返します。<br>
* 計算量はO(sqrt n)です。
*
* @param n トーシェント数を求めたい値
* @return nのトーシェント数
*/
public static int totient(int n) {
int totient = n;
for (int i = 2; i * i <= n; ++i) {
if (n % i == 0) {
totient = totient / i * (i - 1);
while ((n %= i) % i == 0);
}
}
if (n != 1) totient = totient / n * (n - 1);
return totient;
}
/**
* nをmodで割った余りを返します。
*
* @param n 演算する値
* @return nをmodで割った余り
*/
public int mod(int n) {
return (n %= mod) < 0 ? n + mod : n;
}
/**
* nをmodで割った余りを返します。
*
* @param n 演算する値
* @return nをmodで割った余り
*/
public int mod(long n) {
return (int) ((n %= mod) < 0 ? n + mod : n);
}
/**
* nをmodで割った余りを返します。
*
* @param n 演算する値
* @return nをmodで割った余り
*/
public int mod(final PrimeFactor n) {
int ret = 1;
for (final Entry<Prime, Integer> i : n.primeFactor.entrySet())
ret = multiply(ret, pow(i.getKey().prime, i.getValue()));
return ret;
}
/**
* n+mをmodで割った余りを返します。
*
* @param n 足される値
* @param m 足す値
* @return n+mをmodで割った余り
*/
public int add(final int n, final int m) {
return mod(n + m);
}
/**
* n-mをmodで割った余りを返します。
*
* @param n 引かれる値
* @param m 引く値
* @return n-mをmodで割った余り
*/
public int subtract(final int n, final int m) {
return mod(n - m);
}
/**
* n*mをmodで割った余りを返します。
*
* @param n 掛けられる値
* @param m 掛ける値
* @return n*mをmodで割った余り
*/
public int multiply(final int n, final int m) {
final int ans = (int) ((long) n * m % mod);
return ans < 0 ? ans + mod : ans;
}
/**
* n/mをmodで割った余りを返します。
*
* @param n 割られる値
* @param m 割る値
* @return n/mをmodで割った余り
*/
public int divide(final int n, final int m) {
return multiply(n, inverse(m));
}
/**
* fを通ることが分かっているfの要素数-1次の関数について、xの位置における値をmodで割った余りを返します。<br>
* 計算量はO(f)です。
*
* @param f 関数の形
* @param x 求める位置
* @return 求めたい値をmodで割った余り
*/
public ModInteger lagrangePolynomial(final ModInteger[] f, final int x) {
if (f.length > x) return f[x];
if (x > fact.length) precalc(x);
final ModInteger ret = create(0);
final ModInteger[] dp = new ModInteger[f.length], dp2 = new ModInteger[f.length];
dp[0] = create(1);
dp2[f.length - 1] = create(1);
for (int i = 1; i < f.length; ++i) {
dp[i] = dp[i - 1].multiply(x - i - 1);
dp2[f.length - i - 1] = dp2[f.length - i].multiply(x - f.length + i);
}
for (int i = 0; i < f.length; ++i) {
final ModInteger tmp = f[i].multiply(dp[i]).multiplyEqual(dp2[i]).multiplyEqual(inv[i])
.multiplyEqual(inv[f.length - 1 - i]);
if ((f.length - i & 1) == 0) ret.addEqual(tmp);
else ret.subtractEqual(tmp);
}
return ret;
}
/**
* 与えられた配列に対し、その配列を並び替えることで構成できる配列の集合をSとします。
* このとき、arrayがSを辞書順に並べると何番目かを求めます。
* @complexity N=array.length として O(N log N)
* @param array 辞書順で何番目か求めたい配列
* @return arrayが辞書順で何番目か
*/
public ModInteger permutationNumber(int[] array) {
int[] compress = ArrayUtility.compress(array);
int[] bucket = new int[array.length];
for (int i : compress) ++bucket[i];
int sum = multinomial(array.length, bucket);
int[] bit = new int[array.length + 1];
for (int i = 0; i < array.length; ++i)
for (int j = i + 1, add = bucket[i]; j < bit.length; j += j & -j) bit[j] += add;
int ans = 1;
for (int i = 0; i < array.length; ++i) {
sum = divide(sum, array.length - i);
int comp = compress[i];
int min = 0;
for (int j = comp; j != 0; j -= j & -j) min += bit[j];
ans = add(ans, multiply(sum, min));
sum = multiply(sum, bucket[comp]--);
for (int j = comp + 1; j < bit.length; j += j & -j) --bit[j];
}
return create(ans);
}
}
/**
* 区間における素数を保持する関数です。
*
* @author 31536000
*
*/
public static class SegmentPrime {
private final Prime[] divisor;
private final int offset;
private SegmentPrime(final Prime[] divisor, final int offset) {
this.divisor = divisor;
this.offset = offset;
}
/**
* このクラスが持つ区間の範囲を返します。
*
* @return 素数を保持している区間
*/
public IntRange getRange() { return IntRange.closedOpen(offset, offset + divisor.length); }
/**
* 素数かどうかを判定します。
*
* @param n 素数かどうか判定したい数
* @return 素数ならばtrue
*/
public boolean isPrime(final int n) {
return n <= 1 ? false : divisor[n - offset].prime == n;
}
/**
* 与えられた数を素因数分解します。<br>
* 計算量はO(log n)です。
*
* @param n 素因数分解したい数
* @return 素因数分解した結果
*/
public PrimeFactor getPrimeFactor(int n) {
if (n < 1) throw new IllegalArgumentException("not positive number");
final Map<Prime, Integer> map = new HashMap<>();
while (n > 1) {
final Prime d = divisor[n - offset];
map.compute(d, (k, v) -> v == null ? 1 : v + 1);
n /= d.prime;
}
return new PrimeFactor(map);
}
@Override
public String toString() {
return "SegmentPrime: [" + offset + ", " + (offset + divisor.length) + ")";
}
}
/**
* 整数の素因数分解表現を保持します。
*
* @author 31536000
*
*/
public static class PrimeFactor extends Number {
private static final long serialVersionUID = 1363575672283884773L;
public Map<Prime, Integer> primeFactor;
private PrimeFactor(final Map<Prime, Integer> n) {
primeFactor = n;
}
/**
* 素因数分解のリスト表現を返します。
*
* @return 素因数分解のリスト
*/
public List<Integer> getFactorizationList() {
final List<Integer> ret = new ArrayList<>();
for (final Entry<Prime, Integer> i : primeFactor.entrySet()) {
final int p = i.getKey().prime, n = i.getValue();
for (int j = 0; j < n; ++j) ret.add(p);
}
return ret;
}
/**
* nとgcdを取った値を保持します。
*
* @param n gcdを取りたい値
*/
public void gcd(final PrimeFactor n) {
for (final Entry<Prime, Integer> i : n.primeFactor.entrySet())
primeFactor.computeIfPresent(i.getKey(), (k, v) -> Math.min(v, i.getValue()));
}
/**
* gcd(n, m)を返します。
*
* @param n gcdを取りたい値
* @param m gcdを取りたい値
* @return gcd(n, m)
*/
public static PrimeFactor gcd(final PrimeFactor n, final PrimeFactor m) {
final Map<Prime, Integer> ret = new HashMap<>(n.primeFactor);
for (final Entry<Prime, Integer> i : m.primeFactor.entrySet())
ret.computeIfPresent(i.getKey(), (k, v) -> Math.min(v, i.getValue()));
return new PrimeFactor(ret);
}
/**
* nとlcmを取った値を保持します。
*
* @param n lcmを取りたい値
*/
public void lcm(final PrimeFactor n) {
for (final Entry<Prime, Integer> i : n.primeFactor.entrySet())
primeFactor.merge(i.getKey(), i.getValue(), (v1, v2) -> Math.max(v1, v2));
}
/**
* lcm(n, m)を返します。
*
* @param n lcmを取りたい値
* @param m lcmを取りたい値
* @return lcm(n, m)
*/
public static PrimeFactor lcm(final PrimeFactor n, final PrimeFactor m) {
final Map<Prime, Integer> ret = new HashMap<>(n.primeFactor);
for (final Entry<Prime, Integer> i : m.primeFactor.entrySet())
ret.merge(i.getKey(), i.getValue(), (v1, v2) -> Math.max(v1, v2));
return new PrimeFactor(ret);
}
private static int pow(final int p, int n) {
int ans = 1;
for (int mul = p; n > 0; n >>= 1, mul *= mul) if ((n & 1) != 0) ans *= mul;
return ans;
}
private static long pow(final long p, long n) {
long ans = 1;
for (long mul = p; n > 0; n >>= 1, mul *= mul) if ((n & 1) != 0) ans *= mul;
return ans;
}
public BigInteger getValue() {
BigInteger ret = BigInteger.ONE;
for (final Entry<Prime, Integer> i : primeFactor.entrySet())
ret = ret.multiply(new BigInteger(i.getKey().toString()).pow(i.getValue()));
return ret;
}
@Override
public int intValue() {
int ret = 1;
for (final Entry<Prime, Integer> i : primeFactor.entrySet()) ret *= pow(i.getKey().prime, i.getValue());
return ret;
}
@Override
public long longValue() {
long ret = 1;
for (final Entry<Prime, Integer> i : primeFactor.entrySet())
ret *= pow((long) i.getKey().prime, i.getValue());
return ret;
}
@Override
public float floatValue() {
float ret = 1;
for (final Entry<Prime, Integer> i : primeFactor.entrySet())
ret *= Math.pow(i.getKey().prime, i.getValue());
return ret;
}
@Override
public double doubleValue() {
long ret = 1;
for (final Entry<Prime, Integer> i : primeFactor.entrySet())
ret *= Math.pow(i.getKey().prime, i.getValue());
return ret;
}
@Override
public boolean equals(final Object o) {
return o instanceof PrimeFactor ? ((PrimeFactor) o).primeFactor.equals(primeFactor) : false;
}
@Override
public int hashCode() {
return primeFactor.hashCode();
}
@Override
public String toString() {
return primeFactor.toString();
}
}
/**
* 素数を渡すためのクラスです。<br>
* 中身が確実に素数であることを保証するときに使ってください。
*
* @author 31536000
*
*/
public static class Prime extends Number {
private static final long serialVersionUID = 8216169308184181643L;
public final int prime;
/**
* 素数を設定します。
*
* @param prime 素数
* @throws IllegalArgumentException 素数以外を渡した時
*/
public Prime(final int prime) {
if (!isPrime(prime)) throw new IllegalArgumentException(prime + " is not prime");
this.prime = prime;
}
private Prime(final int prime, final boolean none) {
this.prime = prime;
}
private static final int bases[] = { 15591, 2018, 166, 7429, 8064, 16045, 10503, 4399, 1949, 1295, 2776, 3620,
560, 3128, 5212, 2657, 2300, 2021, 4652, 1471, 9336, 4018, 2398, 20462, 10277, 8028, 2213, 6219, 620,
3763, 4852, 5012, 3185, 1333, 6227, 5298, 1074, 2391, 5113, 7061, 803, 1269, 3875, 422, 751, 580, 4729,
10239, 746, 2951, 556, 2206, 3778, 481, 1522, 3476, 481, 2487, 3266, 5633, 488, 3373, 6441, 3344, 17,
15105, 1490, 4154, 2036, 1882, 1813, 467, 3307, 14042, 6371, 658, 1005, 903, 737, 1887, 7447, 1888,
2848, 1784, 7559, 3400, 951, 13969, 4304, 177, 41, 19875, 3110, 13221, 8726, 571, 7043, 6943, 1199, 352,
6435, 165, 1169, 3315, 978, 233, 3003, 2562, 2994, 10587, 10030, 2377, 1902, 5354, 4447, 1555, 263,
27027, 2283, 305, 669, 1912, 601, 6186, 429, 1930, 14873, 1784, 1661, 524, 3577, 236, 2360, 6146, 2850,
55637, 1753, 4178, 8466, 222, 2579, 2743, 2031, 2226, 2276, 374, 2132, 813, 23788, 1610, 4422, 5159,
1725, 3597, 3366, 14336, 579, 165, 1375, 10018, 12616, 9816, 1371, 536, 1867, 10864, 857, 2206, 5788,
434, 8085, 17618, 727, 3639, 1595, 4944, 2129, 2029, 8195, 8344, 6232, 9183, 8126, 1870, 3296, 7455,
8947, 25017, 541, 19115, 368, 566, 5674, 411, 522, 1027, 8215, 2050, 6544, 10049, 614, 774, 2333, 3007,
35201, 4706, 1152, 1785, 1028, 1540, 3743, 493, 4474, 2521, 26845, 8354, 864, 18915, 5465, 2447, 42,
4511, 1660, 166, 1249, 6259, 2553, 304, 272, 7286, 73, 6554, 899, 2816, 5197, 13330, 7054, 2818, 3199,
811, 922, 350, 7514, 4452, 3449, 2663, 4708, 418, 1621, 1171, 3471, 88, 11345, 412, 1559, 194 };
private static final byte wheel[] = { 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4,
2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 2 };
private static boolean isSPRP(final int n, long a) {
int d = n - 1, s = 0;
while ((d & 1) == 0) {
++s;
d >>= 1;
}
long cur = 1, pw = d;
do {
if ((pw & 1) != 0) cur = cur * a % n;
a = a * a % n;
pw >>= 1;
} while (pw != 0);
if (cur == 1) return true;
for (int r = 0; r < s; ++r) {
if (cur == n - 1) return true;
cur = cur * cur % n;
}
return false;
}
/**
* 与えられた値が素数か否かを判定します。<br>
* この実装はhttp://ceur-ws.org/Vol-1326/020-Forisek.pdfに基づきます。
*
* @param x 判定したい値
* @return xが素数ならtrue
*/
public static boolean isPrime(final int x) {
if (x == 2 || x == 3 || x == 5 || x == 7) return true;
if ((x & 1) == 0 || x % 3 == 0 || x % 5 == 0 || x % 7 == 0) return false;
return checkPrime(x);
}
private static boolean checkPrime(final int x) {
if (x < 121) return x > 1;
long h = x;
h = (h >> 16 ^ h) * 0x45d9f3b;
h = (h >> 16 ^ h) * 0x45d9f3b;
h = (h >> 16 ^ h) & 0xFF;
return isSPRP(x, bases[(int) h]);
}
/**
* 区間における素数を列挙します。<br>
* この実装はエラトステネスの篩に基づきます。
*
* @param n 素数を求める範囲
* @return 1以上n以下の素数を保持する区間素数
*/
public static SegmentPrime getSegmentPrime(final int n) {
final Prime[] divisor = new Prime[n - 1];
final int sqrt = (int) Math.sqrt(n) + 1;
for (int i = 0; i < sqrt; ++i) {
if (divisor[i] != null) continue;
final int p = i + 2;
divisor[i] = new Prime(p, true);
for (int j = p * p - 2; j < divisor.length; j += p) divisor[j] = divisor[i];
}
for (int i = sqrt; i < divisor.length; ++i) if (divisor[i] == null) divisor[i] = new Prime(i + 2, true);
return new SegmentPrime(divisor, 2);
}
/**
* 与えられた値を素因数分解した結果を返します。
*
* @param x 素因数分解する値
* @return 素因数分解した結果
*/
public static PrimeFactor getPrimeFactor(int x) {
if (x <= 0) throw new IllegalArgumentException("non positive number: " + x);
final Map<Prime, Integer> ret = new TreeMap<>((l, r) -> Integer.compare(l.prime, r.prime));
int c;
if ((x & 1) == 0) {
c = 1;
for (x >>= 1; (x & 1) == 0; x >>= 1) ++c;
ret.put(new Prime(2, false), c);
}
if (x % 3 == 0) {
c = 1;
for (x /= 3; x % 3 == 0; x /= 3) ++c;
ret.put(new Prime(3, false), c);
}
if (x % 5 == 0) {
c = 1;
for (x /= 5; x % 5 == 0; x /= 5) ++c;
ret.put(new Prime(5, false), c);
}
if (x % 7 == 0) {
c = 1;
for (x /= 7; x % 7 == 0; x /= 7) ++c;
ret.put(new Prime(7, false), c);
}
if (x < 100000000) { // Wheel Factorization
for (int i = 11, j = 0; i * i <= x; i += wheel[++j % wheel.length]) {
while (x % i == 0) {
x /= i;
ret.compute(new Prime(i, false), (k, v) -> v == null ? 1 : v + 1);
}
}
if (x != 1) ret.put(new Prime(x, false), 1);
} else {
int p, count;
while (x != 1) { // 素因数分解が終わってる
for (p = x; !checkPrime(p); p = pollardRho(p, 1));
final Prime prime = new Prime(p, false);
count = 1;
for (x /= p; x % p == 0; x /= p) ++count;
ret.put(prime, count);
}
}
return new PrimeFactor(ret);
}
private static int gcd(int n, int m) {
while (n != 0) if ((m %= n) != 0) n %= m;
else return n;
return m;
}
private static int pollardRho(final int x, int c) {
int n = 2, m = 2, d = 1, next = 4, i = 1;
do {
if (++i == next) {
m = n;
next <<= 1;
}
if ((n = (int) (((long) n * n + c) % x)) == m) return pollardRho(x, ++c); // 失敗したので
} while ((d = gcd(Math.abs(n - m), x)) == 1);// dは約数の一つ
return d;
}
@Override
public int intValue() {
return prime;
}
@Override
public long longValue() {
return prime;
}
@Override
public float floatValue() {
return prime;
}
@Override
public double doubleValue() {
return prime;
}
@Override
public boolean equals(final Object o) {
return o instanceof Prime ? ((Prime) o).prime == prime : false;
}
@Override
public int hashCode() {
return prime;
}
@Override
public String toString() {
return String.valueOf(prime);
}
}
public static class AbstractArray<T> extends AbstractList<T> implements RandomAccess {
private final Object[] array;
public AbstractArray(final int size) {
array = new Object[size];
}
public AbstractArray(final T[] array) {
this(array.length);
System.arraycopy(array, 0, this.array, 0, array.length);
}
@Override
public T set(final int index, final T element) {
final T ret = get(index);
array[index] = element;
return ret;
}
@Override
public T get(final int index) {
@SuppressWarnings("unchecked")
final T ret = (T) array[index];
return ret;
}
public Object[] get() {
return array;
}
public T[] get(final T[] array) {
if (array.length < this.array.length) {
@SuppressWarnings("unchecked")
final T[] ret = (T[]) Arrays.copyOfRange(this.array, 0, this.array.length, array.getClass());
return ret;
}
System.arraycopy(this.array, 0, array, 0, this.array.length);
return array;
}
@Override
public int size() {
return array.length;
}
public int length() {
return size();
}
@Override
public int hashCode() {
return Arrays.hashCode(array);
}
private class Iter implements Iterator<T> {
private int index;
private Iter() {
index = 0;
}
@Override
public boolean hasNext() {
return index < array.length;
}
@Override
public T next() {
return get(index++);
}
@Override
public void remove() {
throw new UnsupportedOperationException();
}
}
@Override
public Iterator<T> iterator() {
return new Iter();
}
}
public static class Array<T> extends AbstractArray<T> implements Serializable {
private static final long serialVersionUID = 2749604433067098063L;
public Array(final int size) {
super(size);
}
public Array(final T[] array) {
super(array);
}
public T front() {
return get(0);
}
public T back() {
return get(size() - 1);
}
}
/**
* 要素とそのindexを管理するクラスです。
*
* @author 31536000
*
* @param <E> 保持する要素
*/
public static class Enumerate<E> {
public final E value;
public final int index;
/**
* 要素とそのindexを渡します。<br>
* indexは必ずしも元の配列またはコレクションのindexと一致する必要はありませんが、一致する値を返すことが推奨されます。
*
* @param value
* @param index
*/
public Enumerate(final E value, final int index) {
this.value = value;
this.index = index;
}
/**
* 要素を返します。
*
* @return 要素
*/
public E getValue() { return value; }
/**
* indexを返します。
*
* @return index
*/
public int getIndex() { return index; }
@Override
public boolean equals(final Object o) {
if (o instanceof Enumerate)
return ((Enumerate<?>) o).getValue().equals(value) && ((Enumerate<?>) o).getIndex() == index;
return false;
}
@Override
public int hashCode() {
return value.hashCode() ^ index;
}
@Override
public String toString() {
return "{" + value.toString() + ", " + index + "}";
}
}
/**
* 要素とそのindexを効率的に取得する関数を提供します。
*
* @author 31536000
*
*/
public static class Enumeration {
private static class IteratorArray<E> implements Iterator<Enumerate<E>> {
private final E[] array;
private final int start;
private int index;
public IteratorArray(final E[] array, final int index) {
this.array = array;
start = index;
this.index = 0;
}
@Override
public boolean hasNext() {
return index < array.length;
}
@Override
public Enumerate<E> next() {
final Enumerate<E> ret = new Enumerate<>(array[index], index++ + start);
return ret;
}
}
private static class IteratorCollection<E> implements Iterator<Enumerate<E>> {
private final Iterator<E> iter;
private int start;
public IteratorCollection(final Iterator<E> iter, final int index) {
this.iter = iter;
start = index;
}
@Override
public boolean hasNext() {
return iter.hasNext();
}
@Override
public Enumerate<E> next() {
final Enumerate<E> ret = new Enumerate<>(iter.next(), start++);
return ret;
}
}
/**
* 配列の各要素とそのindexを順に返すIteratorを生成します。
*
* @param <E> 配列の型
* @param array 配列
* @return Enumerate<E>のIterator
*/
public static <E> Iterator<Enumerate<E>> enumerate(final E[] array) {
return enumerate(array, 0);
}
/**
* 配列の各要素とそのindexを順に返すIteratorを生成します。
*
* @param <E> 配列の型
* @param array 配列
* @param start 添字の初期値、この値だけindexが足されたものが返る
* @return Enumerate<E>のIterator
*/
public static <E> Iterator<Enumerate<E>> enumerate(final E[] array, final int start) {
if (array == null) throw new NullPointerException("array is null");
return new IteratorArray<>(array, start);
}
/**
* Iteratorの各要素とそのindexを順に返すIteratorを生成します。
*
* @param <E> Iteratorの型
* @param iter Iterator
* @return Enumerate<E>のIterator
*/
public static <E> Iterator<Enumerate<E>> enumerate(final Iterator<E> iter) {
return enumerate(iter, 0);
}
/**
* Iteratorの各要素とそのindexを順に返すIteratorを生成します。
*
* @param <E> Iteratorの型
* @param iter Iterator
* @param start 添字の初期値、この値だけindexが足されたものが返る
* @return Enumerate<E>のIterator
*/
public static <E> Iterator<Enumerate<E>> enumerate(final Iterator<E> iter, final int start) {
if (iter == null) throw new NullPointerException("iterator is null");
return new IteratorCollection<>(iter, start);
}
}
/**
* このクラスは配列に対する様々な操作を提供します。
* @author 31536000
*
*/
public static class ArrayUtility {
private ArrayUtility() {
throw new AssertionError();
}
/**
* initを用いて配列を生成します。配列のi番目の要素はinit.applyAsInt(i)になります。
* @complexity O(length)
* @param length 配列の長さ
* @param init 配列の初期値を決める関数
* @return 配列
*/
public static int[] create(int length, java.util.function.IntUnaryOperator init) {
int[] ret = new int[length];
for (int i = 0; i < length; ++i) ret[i] = init.applyAsInt(i);
return ret;
}
/**
* initを用いて配列を生成します。配列のi番目の要素はinit.applyAsInt(i)になります。
* @complexity O(length)
* @param length 配列の長さ
* @param init 配列の初期値を決める関数
* @return 配列
*/
public static long[] create(int length, java.util.function.LongUnaryOperator init) {
long[] ret = new long[length];
for (int i = 0; i < length; ++i) ret[i] = init.applyAsLong(i);
return ret;
}
/**
* initを用いて配列を生成します。配列のi番目の要素はinit.applyAsInt(i)になります。
* @complexity O(length)
* @param length 配列の長さ
* @param init 配列の初期値を決める関数
* @return 配列
*/
public static double[] create(int length, java.util.function.DoubleUnaryOperator init) {
double[] ret = new double[length];
for (int i = 0; i < length; ++i) ret[i] = init.applyAsDouble(i);
return ret;
}
/**
* 配列の最後に要素を一つ増やした新しい配列を返します。
* @complexity O(array.length)
* @param array 元の配列
* @param element 加えたい要素
* @return 配列の後ろに要素を加えた配列
*/
public static boolean[] add(boolean[] array, boolean element) {
if (array == null) {
boolean[] ret = { element };
return ret;
}
boolean[] ret = new boolean[array.length + 1];
System.arraycopy(array, 0, ret, 0, array.length);
ret[array.length] = element;
return ret;
}
/**
* 配列の最後に要素を一つ増やした新しい配列を返します。
* @complexity O(array.length)
* @param array 元の配列
* @param element 加えたい要素
* @return 配列の後ろに要素を加えた配列
*/
public static byte[] add(byte[] array, byte element) {
if (array == null) {
byte[] ret = { element };
return ret;
}
byte[] ret = new byte[array.length + 1];
System.arraycopy(array, 0, ret, 0, array.length);
ret[array.length] = element;
return ret;
}
/**
* 配列の最後に要素を一つ増やした新しい配列を返します。
* @complexity O(array.length)
* @param array 元の配列
* @param element 加えたい要素
* @return 配列の後ろに要素を加えた配列
*/
public static short[] add(short[] array, short element) {
if (array == null) {
short[] ret = { element };
return ret;
}
short[] ret = new short[array.length + 1];
System.arraycopy(array, 0, ret, 0, array.length);
ret[array.length] = element;
return ret;
}
/**
* 配列の最後に要素を一つ増やした新しい配列を返します。
* @complexity O(array.length)
* @param array 元の配列
* @param element 加えたい要素
* @return 配列の後ろに要素を加えた配列
*/
public static int[] add(int[] array, int element) {
if (array == null) {
int[] ret = { element };
return ret;
}
int[] ret = new int[array.length + 1];
System.arraycopy(array, 0, ret, 0, array.length);
ret[array.length] = element;
return ret;
}
/**
* 配列の最後に要素を一つ増やした新しい配列を返します。
* @complexity O(array.length)
* @param array 元の配列
* @param element 加えたい要素
* @return 配列の後ろに要素を加えた配列
*/
public static long[] add(long[] array, long element) {
if (array == null) {
long[] ret = { element };
return ret;
}
long[] ret = new long[array.length + 1];
System.arraycopy(array, 0, ret, 0, array.length);
ret[array.length] = element;
return ret;
}
/**
* 配列の最後に要素を一つ増やした新しい配列を返します。
* @complexity O(array.length)
* @param array 元の配列
* @param element 加えたい要素
* @return 配列の後ろに要素を加えた配列
*/
public static float[] add(float[] array, float element) {
if (array == null) {
float[] ret = { element };
return ret;
}
float[] ret = new float[array.length + 1];
System.arraycopy(array, 0, ret, 0, array.length);
ret[array.length] = element;
return ret;
}
/**
* 配列の最後に要素を一つ増やした新しい配列を返します。
* @complexity O(array.length)
* @param array 元の配列
* @param element 加えたい要素
* @return 配列の後ろに要素を加えた配列
*/
public static double[] add(double[] array, double element) {
if (array == null) {
double[] ret = { element };
return ret;
}
double[] ret = new double[array.length + 1];
System.arraycopy(array, 0, ret, 0, array.length);
ret[array.length] = element;
return ret;
}
/**
* 配列の最後に要素を一つ増やした新しい配列を返します。
* @complexity O(array.length)
* @param array 元の配列
* @param element 加えたい要素
* @return 配列の後ろに要素を加えた配列
*/
public static char[] add(char[] array, char element) {
if (array == null) {
char[] ret = { element };
return ret;
}
char[] ret = new char[array.length + 1];
System.arraycopy(array, 0, ret, 0, array.length);
ret[array.length] = element;
return ret;
}
/**
* 配列の最後に要素を一つ増やした新しい配列を返します。
* @complexity O(array.length)
* @param array 元の配列
* @param element 加えたい要素
* @return 配列の後ろに要素を加えた配列
*/
public static <T> T[] add(T[] array, T element) {
if (array == null) { return addAll(array, element); }
@SuppressWarnings("unchecked")
T[] ret = (T[]) java.util.Arrays.copyOfRange(array, 0, array.length + 1, array.getClass());
ret[array.length] = element;
return ret;
}
/**
* 2つの配列を結合した新しい配列を返します。
* @complexity O(array.length + array2.length)
* @param array 左側の配列
* @param array2 右側の配列
* @return 2つの配列を結合した配列
*/
public static boolean[] addAll(boolean[] array, boolean... array2) {
if (array == null) return array2 == null ? null : array2.clone();
if (array2 == null) return array.clone();
boolean[] ret = new boolean[array.length + array2.length];
System.arraycopy(array, 0, ret, 0, array.length);
System.arraycopy(array2, 0, ret, array.length, array2.length);
return ret;
}
/**
* 2つの配列を結合した新しい配列を返します。
* @complexity O(array.length + array2.length)
* @param array 左側の配列
* @param array2 右側の配列
* @return 2つの配列を結合した配列
*/
public static byte[] addAll(byte[] array, byte... array2) {
if (array == null) return array2 == null ? null : array2.clone();
if (array2 == null) return array.clone();
byte[] ret = new byte[array.length + array2.length];
System.arraycopy(array, 0, ret, 0, array.length);
System.arraycopy(array2, 0, ret, array.length, array2.length);
return ret;
}
/**
* 2つの配列を結合した新しい配列を返します。
* @complexity O(array.length + array2.length)
* @param array 左側の配列
* @param array2 右側の配列
* @return 2つの配列を結合した配列
*/
public static short[] addAll(short[] array, short... array2) {
if (array == null) return array2 == null ? null : array2.clone();
if (array2 == null) return array.clone();
short[] ret = new short[array.length + array2.length];
System.arraycopy(array, 0, ret, 0, array.length);
System.arraycopy(array2, 0, ret, array.length, array2.length);
return ret;
}
/**
* 2つの配列を結合した新しい配列を返します。
* @complexity O(array.length + array2.length)
* @param array 左側の配列
* @param array2 右側の配列
* @return 2つの配列を結合した配列
*/
public static int[] addAll(int[] array, int... array2) {
if (array == null) return array2 == null ? null : array2.clone();
if (array2 == null) return array.clone();
int[] ret = new int[array.length + array2.length];
System.arraycopy(array, 0, ret, 0, array.length);
System.arraycopy(array2, 0, ret, array.length, array2.length);
return ret;
}
/**
* 2つの配列を結合した新しい配列を返します。
* @complexity O(array.length + array2.length)
* @param array 左側の配列
* @param array2 右側の配列
* @return 2つの配列を結合した配列
*/
public static long[] addAll(long[] array, long... array2) {
if (array == null) return array2 == null ? null : array2.clone();
if (array2 == null) return array.clone();
long[] ret = new long[array.length + array2.length];
System.arraycopy(array, 0, ret, 0, array.length);
System.arraycopy(array2, 0, ret, array.length, array2.length);
return ret;
}
/**
* 2つの配列を結合した新しい配列を返します。
* @complexity O(array.length + array2.length)
* @param array 左側の配列
* @param array2 右側の配列
* @return 2つの配列を結合した配列
*/
public static float[] addAll(float[] array, float... array2) {
if (array == null) return array2 == null ? null : array2.clone();
if (array2 == null) return array.clone();
float[] ret = new float[array.length + array2.length];
System.arraycopy(array, 0, ret, 0, array.length);
System.arraycopy(array2, 0, ret, array.length, array2.length);
return ret;
}
/**
* 2つの配列を結合した新しい配列を返します。
* @complexity O(array.length + array2.length)
* @param array 左側の配列
* @param array2 右側の配列
* @return 2つの配列を結合した配列
*/
public static double[] addAll(double[] array, double... array2) {
if (array == null) return array2 == null ? null : array2.clone();
if (array2 == null) return array.clone();
double[] ret = new double[array.length + array2.length];
System.arraycopy(array, 0, ret, 0, array.length);
System.arraycopy(array2, 0, ret, array.length, array2.length);
return ret;
}
/**
* 2つの配列を結合した新しい配列を返します。
* @complexity O(array.length + array2.length)
* @param array 左側の配列
* @param array2 右側の配列
* @return 2つの配列を結合した配列
*/
public static char[] addAll(char[] array, char... array2) {
if (array == null) return array2 == null ? null : array2.clone();
if (array2 == null) return array.clone();
char[] ret = new char[array.length + array2.length];
System.arraycopy(array, 0, ret, 0, array.length);
System.arraycopy(array2, 0, ret, array.length, array2.length);
return ret;
}
/**
* 2つの配列を結合した新しい配列を返します。
* @complexity O(array.length + array2.length)
* @param array 左側の配列
* @param array2 右側の配列
* @return 2つの配列を結合した配列
*/
@SafeVarargs
public static <T> T[] addAll(T[] array, T... array2) {
if (array == null) return array2 == null ? null : array2.clone();
if (array2 == null) return array.clone();
@SuppressWarnings("unchecked")
T[] ret = (T[]) java.util.Arrays.copyOfRange(array, 0, array.length + array2.length, array.getClass());
System.arraycopy(array2, 0, ret, array.length, array2.length);
return ret;
}
/**
* 配列を逆順にします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void reverse(boolean[] array) {
if (array != null)
for (int i = 0, l = array.length + 1 >> 1; i < l; ++i) swap(array, i, array.length - 1 - i);
}
/**
* 配列を逆順にします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex 逆順にする左閉区間
* @param toIndex 逆順にする右開区間
*/
public static void reverse(boolean[] array, int fromIndex, int toIndex) {
for (--toIndex; fromIndex < toIndex; ++fromIndex, --toIndex) swap(array, fromIndex, toIndex);
}
/**
* 配列を逆順にします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range 逆順にする区間
*/
public static void reverse(boolean[] array, IntRange range) {
reverse(array, range.getClosedLower(), range.getOpenUpper());
}
/**
* 配列を逆順にします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void reverse(byte[] array) {
if (array != null)
for (int i = 0, l = array.length + 1 >> 1; i < l; ++i) swap(array, i, array.length - 1 - i);
}
/**
* 配列を逆順にします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex 逆順にする左閉区間
* @param toIndex 逆順にする右開区間
*/
public static void reverse(byte[] array, int fromIndex, int toIndex) {
for (--toIndex; fromIndex < toIndex; ++fromIndex, --toIndex) swap(array, fromIndex, toIndex);
}
/**
* 配列を逆順にします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range 逆順にする区間
*/
public static void reverse(byte[] array, IntRange range) {
reverse(array, range.getClosedLower(), range.getOpenUpper());
}
/**
* 配列を逆順にします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void reverse(short[] array) {
if (array != null)
for (int i = 0, l = array.length + 1 >> 1; i < l; ++i) swap(array, i, array.length - 1 - i);
}
/**
* 配列を逆順にします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex 逆順にする左閉区間
* @param toIndex 逆順にする右開区間
*/
public static void reverse(short[] array, int fromIndex, int toIndex) {
for (--toIndex; fromIndex < toIndex; ++fromIndex, --toIndex) swap(array, fromIndex, toIndex);
}
/**
* 配列を逆順にします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range 逆順にする区間
*/
public static void reverse(short[] array, IntRange range) {
reverse(array, range.getClosedLower(), range.getOpenUpper());
}
/**
* 配列を逆順にします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void reverse(int[] array) {
if (array != null)
for (int i = 0, l = array.length + 1 >> 1; i < l; ++i) swap(array, i, array.length - 1 - i);
}
/**
* 配列を逆順にします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex 逆順にする左閉区間
* @param toIndex 逆順にする右開区間
*/
public static void reverse(int[] array, int fromIndex, int toIndex) {
for (--toIndex; fromIndex < toIndex; ++fromIndex, --toIndex) swap(array, fromIndex, toIndex);
}
/**
* 配列を逆順にします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range 逆順にする区間
*/
public static void reverse(int[] array, IntRange range) {
reverse(array, range.getClosedLower(), range.getOpenUpper());
}
/**
* 配列を逆順にします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void reverse(long[] array) {
if (array != null)
for (int i = 0, l = array.length + 1 >> 1; i < l; ++i) swap(array, i, array.length - 1 - i);
}
/**
* 配列を逆順にします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex 逆順にする左閉区間
* @param toIndex 逆順にする右開区間
*/
public static void reverse(long[] array, int fromIndex, int toIndex) {
for (--toIndex; fromIndex < toIndex; ++fromIndex, --toIndex) swap(array, fromIndex, toIndex);
}
/**
* 配列を逆順にします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range 逆順にする区間
*/
public static void reverse(long[] array, IntRange range) {
reverse(array, range.getClosedLower(), range.getOpenUpper());
}
/**
* 配列を逆順にします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void reverse(float[] array) {
if (array != null)
for (int i = 0, l = array.length + 1 >> 1; i < l; ++i) swap(array, i, array.length - 1 - i);
}
/**
* 配列を逆順にします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex 逆順にする左閉区間
* @param toIndex 逆順にする右開区間
*/
public static void reverse(float[] array, int fromIndex, int toIndex) {
for (--toIndex; fromIndex < toIndex; ++fromIndex, --toIndex) swap(array, fromIndex, toIndex);
}
/**
* 配列を逆順にします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range 逆順にする区間
*/
public static void reverse(float[] array, IntRange range) {
reverse(array, range.getClosedLower(), range.getOpenUpper());
}
/**
* 配列を逆順にします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void reverse(double[] array) {
if (array != null)
for (int i = 0, l = array.length + 1 >> 1; i < l; ++i) swap(array, i, array.length - 1 - i);
}
/**
* 配列を逆順にします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex 逆順にする左閉区間
* @param toIndex 逆順にする右開区間
*/
public static void reverse(double[] array, int fromIndex, int toIndex) {
for (--toIndex; fromIndex < toIndex; ++fromIndex, --toIndex) swap(array, fromIndex, toIndex);
}
/**
* 配列を逆順にします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range 逆順にする区間
*/
public static void reverse(double[] array, IntRange range) {
reverse(array, range.getClosedLower(), range.getOpenUpper());
}
/**
* 配列を逆順にします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void reverse(char[] array) {
if (array != null)
for (int i = 0, l = array.length + 1 >> 1; i < l; ++i) swap(array, i, array.length - 1 - i);
}
/**
* 配列を逆順にします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex 逆順にする左閉区間
* @param toIndex 逆順にする右開区間
*/
public static void reverse(char[] array, int fromIndex, int toIndex) {
for (--toIndex; fromIndex < toIndex; ++fromIndex, --toIndex) swap(array, fromIndex, toIndex);
}
/**
* 配列を逆順にします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range 逆順にする区間
*/
public static void reverse(char[] array, IntRange range) {
reverse(array, range.getClosedLower(), range.getOpenUpper());
}
/**
* 配列を逆順にします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void reverse(Object[] array) {
if (array != null)
for (int i = 0, l = array.length + 1 >> 1; i < l; ++i) swap(array, i, array.length - 1 - i);
}
/**
* 配列を逆順にします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex 逆順にする左閉区間
* @param toIndex 逆順にする右開区間
*/
public static void reverse(Object[] array, int fromIndex, int toIndex) {
for (--toIndex; fromIndex < toIndex; ++fromIndex, --toIndex) swap(array, fromIndex, toIndex);
}
/**
* 配列を逆順にします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range 逆順にする区間
*/
public static void reverse(Object[] array, IntRange range) {
reverse(array, range.getClosedLower(), range.getOpenUpper());
}
private static java.util.Random rnd;
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void shuffle(boolean[] array) {
shuffle(array, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
*/
public static void shuffle(boolean[] array, int fromIndex, int toIndex) {
shuffle(array, fromIndex, toIndex, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
*/
public static void shuffle(boolean[] array, IntRange range) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(),
rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
* @param random 乱数
*/
public static void shuffle(boolean[] array, java.util.Random random) {
if (array != null) for (int i = array.length - 1; i > 0; --i) swap(array, i, random.nextInt(i + 1));
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
* @param random 乱数
*/
public static void shuffle(boolean[] array, int fromIndex, int toIndex, java.util.Random random) {
if (array != null)
for (int i = toIndex - 1; i > fromIndex; --i) swap(array, i, random.nextInt(i - fromIndex) + fromIndex);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
* @param random 乱数
*/
public static void shuffle(boolean[] array, IntRange range, java.util.Random random) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(), random);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void shuffle(byte[] array) {
shuffle(array, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
*/
public static void shuffle(byte[] array, int fromIndex, int toIndex) {
shuffle(array, fromIndex, toIndex, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
*/
public static void shuffle(byte[] array, IntRange range) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(),
rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
* @param random 乱数
*/
public static void shuffle(byte[] array, java.util.Random random) {
if (array != null) for (int i = array.length - 1; i > 0; --i) swap(array, i, random.nextInt(i + 1));
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
* @param random 乱数
*/
public static void shuffle(byte[] array, int fromIndex, int toIndex, java.util.Random random) {
if (array != null)
for (int i = toIndex - 1; i > fromIndex; --i) swap(array, i, random.nextInt(i - fromIndex) + fromIndex);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
* @param random 乱数
*/
public static void shuffle(byte[] array, IntRange range, java.util.Random random) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(), random);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void shuffle(short[] array) {
shuffle(array, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
*/
public static void shuffle(short[] array, int fromIndex, int toIndex) {
shuffle(array, fromIndex, toIndex, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
*/
public static void shuffle(short[] array, IntRange range) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(),
rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
* @param random 乱数
*/
public static void shuffle(short[] array, java.util.Random random) {
if (array != null) for (int i = array.length - 1; i > 0; --i) swap(array, i, random.nextInt(i + 1));
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
* @param random 乱数
*/
public static void shuffle(short[] array, int fromIndex, int toIndex, java.util.Random random) {
if (array != null)
for (int i = toIndex - 1; i > fromIndex; --i) swap(array, i, random.nextInt(i - fromIndex) + fromIndex);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
* @param random 乱数
*/
public static void shuffle(short[] array, IntRange range, java.util.Random random) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(), random);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void shuffle(int[] array) {
shuffle(array, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
*/
public static void shuffle(int[] array, int fromIndex, int toIndex) {
shuffle(array, fromIndex, toIndex, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
*/
public static void shuffle(int[] array, IntRange range) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(),
rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
* @param random 乱数
*/
public static void shuffle(int[] array, java.util.Random random) {
if (array != null) for (int i = array.length - 1; i > 0; --i) swap(array, i, random.nextInt(i + 1));
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
* @param random 乱数
*/
public static void shuffle(int[] array, int fromIndex, int toIndex, java.util.Random random) {
if (array != null)
for (int i = toIndex - 1; i > fromIndex; --i) swap(array, i, random.nextInt(i - fromIndex) + fromIndex);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
* @param random 乱数
*/
public static void shuffle(int[] array, IntRange range, java.util.Random random) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(), random);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void shuffle(long[] array) {
shuffle(array, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
*/
public static void shuffle(long[] array, int fromIndex, int toIndex) {
shuffle(array, fromIndex, toIndex, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
*/
public static void shuffle(long[] array, IntRange range) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(),
rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
* @param random 乱数
*/
public static void shuffle(long[] array, java.util.Random random) {
if (array != null) for (int i = array.length - 1; i > 0; --i) swap(array, i, random.nextInt(i + 1));
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
* @param random 乱数
*/
public static void shuffle(long[] array, int fromIndex, int toIndex, java.util.Random random) {
if (array != null)
for (int i = toIndex - 1; i > fromIndex; --i) swap(array, i, random.nextInt(i - fromIndex) + fromIndex);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
* @param random 乱数
*/
public static void shuffle(long[] array, IntRange range, java.util.Random random) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(), random);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void shuffle(float[] array) {
shuffle(array, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
*/
public static void shuffle(float[] array, int fromIndex, int toIndex) {
shuffle(array, fromIndex, toIndex, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
*/
public static void shuffle(float[] array, IntRange range) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(),
rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
* @param random 乱数
*/
public static void shuffle(float[] array, java.util.Random random) {
if (array != null) for (int i = array.length - 1; i > 0; --i) swap(array, i, random.nextInt(i + 1));
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
* @param random 乱数
*/
public static void shuffle(float[] array, int fromIndex, int toIndex, java.util.Random random) {
if (array != null)
for (int i = toIndex - 1; i > fromIndex; --i) swap(array, i, random.nextInt(i - fromIndex) + fromIndex);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
* @param random 乱数
*/
public static void shuffle(float[] array, IntRange range, java.util.Random random) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(), random);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void shuffle(double[] array) {
shuffle(array, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
*/
public static void shuffle(double[] array, int fromIndex, int toIndex) {
shuffle(array, fromIndex, toIndex, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
*/
public static void shuffle(double[] array, IntRange range) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(),
rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
* @param random 乱数
*/
public static void shuffle(double[] array, java.util.Random random) {
if (array != null) for (int i = array.length - 1; i > 0; --i) swap(array, i, random.nextInt(i + 1));
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
* @param random 乱数
*/
public static void shuffle(double[] array, int fromIndex, int toIndex, java.util.Random random) {
if (array != null)
for (int i = toIndex - 1; i > fromIndex; --i) swap(array, i, random.nextInt(i - fromIndex) + fromIndex);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
* @param random 乱数
*/
public static void shuffle(double[] array, IntRange range, java.util.Random random) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(), random);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void shuffle(char[] array) {
shuffle(array, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
*/
public static void shuffle(char[] array, int fromIndex, int toIndex) {
shuffle(array, fromIndex, toIndex, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
*/
public static void shuffle(char[] array, IntRange range) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(),
rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
* @param random 乱数
*/
public static void shuffle(char[] array, java.util.Random random) {
if (array != null) for (int i = array.length - 1; i > 0; --i) swap(array, i, random.nextInt(i + 1));
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
* @param random 乱数
*/
public static void shuffle(char[] array, int fromIndex, int toIndex, java.util.Random random) {
if (array != null)
for (int i = toIndex - 1; i > fromIndex; --i) swap(array, i, random.nextInt(i - fromIndex) + fromIndex);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
* @param random 乱数
*/
public static void shuffle(char[] array, IntRange range, java.util.Random random) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(), random);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void shuffle(Object[] array) {
shuffle(array, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
*/
public static void shuffle(Object[] array, int fromIndex, int toIndex) {
shuffle(array, fromIndex, toIndex, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
*/
public static void shuffle(Object[] array, IntRange range) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(),
rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
* @param random 乱数
*/
public static void shuffle(Object[] array, java.util.Random random) {
if (array != null) for (int i = array.length - 1; i > 0; --i) swap(array, i, random.nextInt(i + 1));
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
* @param random 乱数
*/
public static void shuffle(Object[] array, int fromIndex, int toIndex, java.util.Random random) {
if (array != null)
for (int i = toIndex - 1; i > fromIndex; --i) swap(array, i, random.nextInt(i - fromIndex) + fromIndex);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
* @param random 乱数
*/
public static void shuffle(Object[] array, IntRange range, java.util.Random random) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(), random);
}
/**
* 指定した長さと初期値を持つ配列を生成します。
* @complexity O(size)
* @param size 配列の長さ
* @param value 配列の初期値
* @return 生成された配列
*/
public static boolean[] getArray(int size, boolean value) {
boolean[] ret = new boolean[size];
java.util.Arrays.fill(ret, value);
return ret;
}
/**
* 指定した長さと初期値を持つ配列を生成します。
* @complexity O(size)
* @param size 配列の長さ
* @param value 配列の初期値
* @return 生成された配列
*/
public static byte[] getArray(int size, byte value) {
byte[] ret = new byte[size];
java.util.Arrays.fill(ret, value);
return ret;
}
/**
* 指定した長さと初期値を持つ配列を生成します。
* @complexity O(size)
* @param size 配列の長さ
* @param value 配列の初期値
* @return 生成された配列
*/
public static short[] getArray(int size, short value) {
short[] ret = new short[size];
java.util.Arrays.fill(ret, value);
return ret;
}
/**
* 指定した長さと初期値を持つ配列を生成します。
* @complexity O(size)
* @param size 配列の長さ
* @param value 配列の初期値
* @return 生成された配列
*/
public static int[] getArray(int size, int value) {
int[] ret = new int[size];
java.util.Arrays.fill(ret, value);
return ret;
}
/**
* 指定した長さと初期値を持つ配列を生成します。
* @complexity O(size)
* @param size 配列の長さ
* @param value 配列の初期値
* @return 生成された配列
*/
public static long[] getArray(int size, long value) {
long[] ret = new long[size];
java.util.Arrays.fill(ret, value);
return ret;
}
/**
* 指定した長さと初期値を持つ配列を生成します。
* @complexity O(size)
* @param size 配列の長さ
* @param value 配列の初期値
* @return 生成された配列
*/
public static float[] getArray(int size, float value) {
float[] ret = new float[size];
java.util.Arrays.fill(ret, value);
return ret;
}
/**
* 指定した長さと初期値を持つ配列を生成します。
* @complexity O(size)
* @param size 配列の長さ
* @param value 配列の初期値
* @return 生成された配列
*/
public static double[] getArray(int size, double value) {
double[] ret = new double[size];
java.util.Arrays.fill(ret, value);
return ret;
}
/**
* 指定した長さと初期値を持つ配列を生成します。
* @complexity O(size)
* @param size 配列の長さ
* @param value 配列の初期値
* @return 生成された配列
*/
public static char[] getArray(int size, char value) {
char[] ret = new char[size];
java.util.Arrays.fill(ret, value);
return ret;
}
/**
* プリミティブ型の配列と中身が対応するオブジェクト型の配列を生成します。
* @complexity O(array.length)
* @param array プリミティブ型の配列
* @return オブジェクト型の配列
*/
public static Boolean[] toObject(boolean[] array) {
if (array == null) return null;
Boolean[] ret = new Boolean[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* プリミティブ型の配列と中身が対応するオブジェクト型の配列を生成します。
* @complexity O(array.length)
* @param array プリミティブ型の配列
* @return オブジェクト型の配列
*/
public static Byte[] toObject(byte[] array) {
if (array == null) return null;
Byte[] ret = new Byte[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* プリミティブ型の配列と中身が対応するオブジェクト型の配列を生成します。
* @complexity O(array.length)
* @param array プリミティブ型の配列
* @return オブジェクト型の配列
*/
public static Short[] toObject(short[] array) {
if (array == null) return null;
Short[] ret = new Short[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* プリミティブ型の配列と中身が対応するオブジェクト型の配列を生成します。
* @complexity O(array.length)
* @param array プリミティブ型の配列
* @return オブジェクト型の配列
*/
public static Integer[] toObject(int[] array) {
if (array == null) return null;
Integer[] ret = new Integer[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* プリミティブ型の配列と中身が対応するオブジェクト型の配列を生成します。
* @complexity O(array.length)
* @param array プリミティブ型の配列
* @return オブジェクト型の配列
*/
public static Long[] toObject(long[] array) {
if (array == null) return null;
Long[] ret = new Long[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* プリミティブ型の配列と中身が対応するオブジェクト型の配列を生成します。
* @complexity O(array.length)
* @param array プリミティブ型の配列
* @return オブジェクト型の配列
*/
public static Float[] toObject(float[] array) {
if (array == null) return null;
Float[] ret = new Float[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* プリミティブ型の配列と中身が対応するオブジェクト型の配列を生成します。
* @complexity O(array.length)
* @param array プリミティブ型の配列
* @return オブジェクト型の配列
*/
public static Double[] toObject(double[] array) {
if (array == null) return null;
Double[] ret = new Double[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* プリミティブ型の配列と中身が対応するオブジェクト型の配列を生成します。
* @complexity O(array.length)
* @param array プリミティブ型の配列
* @return オブジェクト型の配列
*/
public static Character[] toObject(char[] array) {
if (array == null) return null;
Character[] ret = new Character[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @return プリミティブ型の配列
* @throws NullPointerException 配列の要素にnullが含まれていた場合
*/
public static boolean[] toPrimitive(Boolean[] array) {
if (array == null) return null;
boolean[] ret = new boolean[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @param valueForNull nullの値に対応させる値
* @return プリミティブ型の配列
*/
public static boolean[] toPrimitive(Boolean[] array, boolean valueForNull) {
if (array == null) return null;
boolean[] ret = new boolean[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i] == null ? valueForNull : array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @return プリミティブ型の配列
* @throws NullPointerException 配列の要素にnullが含まれていた場合
*/
public static byte[] toPrimitive(Byte[] array) {
if (array == null) return null;
byte[] ret = new byte[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @param valueForNull nullの値に対応させる値
* @return プリミティブ型の配列
*/
public static byte[] toPrimitive(Byte[] array, byte valueForNull) {
if (array == null) return null;
byte[] ret = new byte[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i] == null ? valueForNull : array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @return プリミティブ型の配列
* @throws NullPointerException 配列の要素にnullが含まれていた場合
*/
public static short[] toPrimitive(Short[] array) {
if (array == null) return null;
short[] ret = new short[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @param valueForNull nullの値に対応させる値
* @return プリミティブ型の配列
*/
public static short[] toPrimitive(Short[] array, short valueForNull) {
if (array == null) return null;
short[] ret = new short[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i] == null ? valueForNull : array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @return プリミティブ型の配列
* @throws NullPointerException 配列の要素にnullが含まれていた場合
*/
public static int[] toPrimitive(Integer[] array) {
if (array == null) return null;
int[] ret = new int[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @param valueForNull nullの値に対応させる値
* @return プリミティブ型の配列
*/
public static int[] toPrimitive(Integer[] array, int valueForNull) {
if (array == null) return null;
int[] ret = new int[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i] == null ? valueForNull : array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @return プリミティブ型の配列
* @throws NullPointerException 配列の要素にnullが含まれていた場合
*/
public static long[] toPrimitive(Long[] array) {
if (array == null) return null;
long[] ret = new long[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @param valueForNull nullの値に対応させる値
* @return プリミティブ型の配列
*/
public static long[] toPrimitive(Long[] array, long valueForNull) {
if (array == null) return null;
long[] ret = new long[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i] == null ? valueForNull : array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @return プリミティブ型の配列
* @throws NullPointerException 配列の要素にnullが含まれていた場合
*/
public static float[] toPrimitive(Float[] array) {
if (array == null) return null;
float[] ret = new float[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @param valueForNull nullの値に対応させる値
* @return プリミティブ型の配列
*/
public static float[] toPrimitive(Float[] array, float valueForNull) {
if (array == null) return null;
float[] ret = new float[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i] == null ? valueForNull : array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @return プリミティブ型の配列
* @throws NullPointerException 配列の要素にnullが含まれていた場合
*/
public static double[] toPrimitive(Double[] array) {
if (array == null) return null;
double[] ret = new double[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @param valueForNull nullの値に対応させる値
* @return プリミティブ型の配列
*/
public static double[] toPrimitive(Double[] array, double valueForNull) {
if (array == null) return null;
double[] ret = new double[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i] == null ? valueForNull : array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @return プリミティブ型の配列
* @throws NullPointerException 配列の要素にnullが含まれていた場合
*/
public static char[] toPrimitive(Character[] array) {
if (array == null) return null;
char[] ret = new char[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @param valueForNull nullの値に対応させる値
* @return プリミティブ型の配列
*/
public static char[] toPrimitive(Character[] array, char valueForNull) {
if (array == null) return null;
char[] ret = new char[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i] == null ? valueForNull : array[i];
return ret;
}
/**
* 配列の最小要素を返します。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
* @return 配列がnullか要素数が0の場合はnull、それ以外の場合は配列の最小値
* @throws NullPointerException comparatorがnullの場合
*/
public static <T> T min(T[] array, java.util.Comparator<T> comparator) {
if (array == null || array.length == 0) return null;
T min = array[0];
for (int i = 1; i < array.length; ++i) if (comparator.compare(min, array[i]) > 0) min = array[i];
return min;
}
/**
* 配列の最小要素を返します。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
*/
public static <T extends Comparable<T>> T min(T[] array) {
return min(array, java.util.Comparator.naturalOrder());
}
/**
* 配列の最小要素を返します。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
*/
public static byte min(byte[] array) {
byte min = array[0];
for (int i = 1; i < array.length; ++i) if (min > array[i]) min = array[i];
return min;
}
/**
* 配列の最小要素を返します。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
*/
public static short min(short[] array) {
short min = array[0];
for (int i = 1; i < array.length; ++i) if (min > array[i]) min = array[i];
return min;
}
/**
* 配列の最小要素を返します。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
*/
public static int min(int[] array) {
int min = array[0];
for (int i = 1; i < array.length; ++i) if (min > array[i]) min = array[i];
return min;
}
/**
* 配列の最小要素を返します。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
*/
public static long min(long[] array) {
long min = array[0];
for (int i = 1; i < array.length; ++i) if (min > array[i]) min = array[i];
return min;
}
/**
* 配列の最小要素を返します。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
*/
public static float min(float[] array) {
float min = array[0];
for (int i = 1; i < array.length; ++i) if (min > array[i]) min = array[i];
return min;
}
/**
* 配列の最小要素を返します。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
*/
public static double min(double[] array) {
double min = array[0];
for (int i = 1; i < array.length; ++i) if (min > array[i]) min = array[i];
return min;
}
/**
* 配列の最小要素を返します。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
* @return 配列がnullか要素数が0の場合はnull、それ以外の場合は配列の最小値
* @throws NullPointerException comparatorがnullの場合
*/
public static <T> T max(T[] array, java.util.Comparator<T> comparator) {
if (array == null || array.length == 0) return null;
T max = array[0];
for (int i = 1; i < array.length; ++i) if (comparator.compare(max, array[i]) < 0) max = array[i];
return max;
}
/**
* 配列の最大要素を返します。
* @complexity O(array.length)
* @param array 配列
* @return 配列がnullか要素数が0の場合はnull、それ以外の場合は配列の最大値
*/
public static <T extends Comparable<T>> T max(T[] array) {
return max(array, java.util.Comparator.naturalOrder());
}
/**
* 配列の最大要素を返します。
* @complexity O(array.length)
* @param array 配列
* @return 配列がnullか要素数が0の場合はnull、それ以外の場合は配列の最大値
* @throws NullPointerException arrayがnullの場合
*/
public static byte max(byte[] array) {
byte max = array[0];
for (int i = 1; i < array.length; ++i) if (max < array[i]) max = array[i];
return max;
}
/**
* 配列の最大要素を返します。
* @complexity O(array.length)
* @param array 配列
* @return 配列がnullか要素数が0の場合はnull、それ以外の場合は配列の最大値
* @throws NullPointerException arrayがnullの場合
*/
public static short max(short[] array) {
short max = array[0];
for (int i = 1; i < array.length; ++i) if (max < array[i]) max = array[i];
return max;
}
/**
* 配列の最大要素を返します。
* @complexity O(array.length)
* @param array 配列
* @return 配列がnullか要素数が0の場合はnull、それ以外の場合は配列の最大値
* @throws NullPointerException arrayがnullの場合
*/
public static int max(int[] array) {
int max = array[0];
for (int i = 1; i < array.length; ++i) if (max < array[i]) max = array[i];
return max;
}
/**
* 配列の最大要素を返します。
* @complexity O(array.length)
* @param array 配列
* @return 配列がnullか要素数が0の場合はnull、それ以外の場合は配列の最大値
* @throws NullPointerException arrayがnullの場合
*/
public static long max(long[] array) {
long max = array[0];
for (int i = 1; i < array.length; ++i) if (max < array[i]) max = array[i];
return max;
}
/**
* 配列の最大要素を返します。
* @complexity O(array.length)
* @param array 配列
* @return 配列がnullか要素数が0の場合はnull、それ以外の場合は配列の最大値
* @throws NullPointerException arrayがnullの場合
*/
public static float max(float[] array) {
float max = array[0];
for (int i = 1; i < array.length; ++i) if (max < array[i]) max = array[i];
return max;
}
/**
* 配列の最大要素を返します。
* @complexity O(array.length)
* @param array 配列
* @return 配列がnullか要素数が0の場合はnull、それ以外の場合は配列の最大値
* @throws NullPointerException arrayがnullの場合
*/
public static double max(double[] array) {
double max = array[0];
for (int i = 1; i < array.length; ++i) if (max < array[i]) max = array[i];
return max;
}
/**
* 配列のn番目とm番目を入れ替えます。
* @complexity O(1)
* @param array 配列
* @param n 中身をswapするindex
* @param m 中身をswapするindex
* @throws ArrayIndexOutOfBoundsException n, m < 0 || array.length <= n, mのとき
* @throws NullPointerException arrayがnullの場合
*/
public static void swap(boolean[] array, int n, int m) {
boolean swap = array[n];
array[n] = array[m];
array[m] = swap;
}
/**
* 配列のn番目とm番目を入れ替えます。
* @complexity O(1)
* @param array 配列
* @param n 中身をswapするindex
* @param m 中身をswapするindex
* @throws ArrayIndexOutOfBoundsException n, m < 0 || array.length <= n, mのとき
* @throws NullPointerException arrayがnullの場合
*/
public static void swap(byte[] array, int n, int m) {
byte swap = array[n];
array[n] = array[m];
array[m] = swap;
}
/**
* 配列のn番目とm番目を入れ替えます。
* @complexity O(1)
* @param array 配列
* @param n 中身をswapするindex
* @param m 中身をswapするindex
* @throws ArrayIndexOutOfBoundsException n, m < 0 || array.length <= n, mのとき
* @throws NullPointerException arrayがnullの場合
*/
public static void swap(short[] array, int n, int m) {
short swap = array[n];
array[n] = array[m];
array[m] = swap;
}
/**
* 配列のn番目とm番目を入れ替えます。
* @complexity O(1)
* @param array 配列
* @param n 中身をswapするindex
* @param m 中身をswapするindex
* @throws ArrayIndexOutOfBoundsException n, m < 0 || array.length <= n, mのとき
* @throws NullPointerException arrayがnullの場合
*/
public static void swap(int[] array, int n, int m) {
int swap = array[n];
array[n] = array[m];
array[m] = swap;
}
/**
* 配列のn番目とm番目を入れ替えます。
* @complexity O(1)
* @param array 配列
* @param n 中身をswapするindex
* @param m 中身をswapするindex
* @throws ArrayIndexOutOfBoundsException n, m < 0 || array.length <= n, mのとき
* @throws NullPointerException arrayがnullの場合
*/
public static void swap(long[] array, int n, int m) {
long swap = array[n];
array[n] = array[m];
array[m] = swap;
}
/**
* 配列のn番目とm番目を入れ替えます。
* @complexity O(1)
* @param array 配列
* @param n 中身をswapするindex
* @param m 中身をswapするindex
* @throws ArrayIndexOutOfBoundsException n, m < 0 || array.length <= n, mのとき
* @throws NullPointerException arrayがnullの場合
*/
public static void swap(float[] array, int n, int m) {
float swap = array[n];
array[n] = array[m];
array[m] = swap;
}
/**
* 配列のn番目とm番目を入れ替えます。
* @complexity O(1)
* @param array 配列
* @param n 中身をswapするindex
* @param m 中身をswapするindex
* @throws ArrayIndexOutOfBoundsException n, m < 0 || array.length <= n, mのとき
* @throws NullPointerException arrayがnullの場合
*/
public static void swap(double[] array, int n, int m) {
double swap = array[n];
array[n] = array[m];
array[m] = swap;
}
/**
* 配列のn番目とm番目を入れ替えます。
* @complexity O(1)
* @param array 配列
* @param n 中身をswapするindex
* @param m 中身をswapするindex
* @throws ArrayIndexOutOfBoundsException n, m < 0 || array.length <= n, mのとき
* @throws NullPointerException arrayがnullの場合
*/
public static void swap(char[] array, int n, int m) {
char swap = array[n];
array[n] = array[m];
array[m] = swap;
}
/**
* 配列のn番目とm番目を入れ替えます。
* @complexity O(1)
* @param array 配列
* @param n 中身をswapするindex
* @param m 中身をswapするindex
* @throws ArrayIndexOutOfBoundsException n, m < 0 || array.length <= n, mのとき
* @throws NullPointerException arrayがnullの場合
*/
public static void swap(Object[] array, int n, int m) {
Object swap = array[n];
array[n] = array[m];
array[m] = swap;
}
/**
* 配列を辞書式順序で次の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static <T extends Comparable<T>> boolean nextPermutation(T[] array) {
return nextPermutation(array, java.util.Comparator.naturalOrder());
}
/**
* 配列を辞書式順序で次の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
* @return 配列を書き換えたならばtrue
* @throws NullPointerException comparatorがnullの場合
*/
public static <T> boolean nextPermutation(T[] array, java.util.Comparator<T> comparator) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (comparator.compare(array[change], array[change + 1]) < 0) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0)
if (comparator.compare(array[change], array[mid = min + halfDiff]) < 0) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で次の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean nextPermutation(byte[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] < array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] < array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で次の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean nextPermutation(short[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] < array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] < array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で次の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean nextPermutation(int[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] < array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] < array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で次の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean nextPermutation(long[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] < array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] < array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で次の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean nextPermutation(float[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] < array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] < array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で次の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean nextPermutation(double[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] < array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] < array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で次の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean nextPermutation(char[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] < array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] < array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で前の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static <T extends Comparable<T>> boolean prevPermutation(T[] array) {
return prevPermutation(array, java.util.Comparator.naturalOrder());
}
/**
* 配列を辞書式順序で前の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
* @return 配列を書き換えたならばtrue
* @throws NullPointerException comparatorがnullの場合
*/
public static <T> boolean prevPermutation(T[] array, java.util.Comparator<T> comparator) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (comparator.compare(array[change], array[change + 1]) > 0) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0)
if (comparator.compare(array[change], array[mid = min + halfDiff]) > 0) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で前の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean prevPermutation(byte[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] > array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] > array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で前の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean prevPermutation(short[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] > array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] > array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で前の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean prevPermutation(int[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] > array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] > array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で前の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean prevPermutation(long[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] > array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] > array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で前の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean prevPermutation(float[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] > array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] > array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で前の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean prevPermutation(double[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] > array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] > array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で前の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean prevPermutation(char[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] > array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] > array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列の各要素を与えられた関数に適用した配列を生成します。
* @complexity O(array.length)
* @param array 配列
* @param map 各要素に適用する関数
* @return 配列の各要素にmapを適用した配列
*/
public static <T> T[] map(T[] array, java.util.function.UnaryOperator<T> map) {
T[] ret = java.util.Arrays.copyOf(array, array.length);
for (int i = 0; i < ret.length; ++i) ret[i] = map.apply(ret[i]);
return ret;
}
/**
* 配列の各要素を与えられた関数に適用した配列を生成します。
* @complexity O(array.length)
* @param array 配列
* @param map 各要素に適用する関数
* @return 配列の各要素にmapを適用した配列
*/
public static int[] map(int[] array, java.util.function.IntUnaryOperator map) {
int[] ret = java.util.Arrays.copyOf(array, array.length);
for (int i = 0; i < ret.length; ++i) ret[i] = map.applyAsInt(ret[i]);
return ret;
}
/**
* 配列の各要素を与えられた関数に適用した配列を生成します。
* @complexity O(array.length)
* @param array 配列
* @param map 各要素に適用する関数
* @return 配列の各要素にmapを適用した配列
*/
public static long[] map(long[] array, java.util.function.LongUnaryOperator map) {
long[] ret = java.util.Arrays.copyOf(array, array.length);
for (int i = 0; i < ret.length; ++i) ret[i] = map.applyAsLong(ret[i]);
return ret;
}
/**
* 配列の各要素を与えられた関数に適用した配列を生成します。
* @complexity O(array.length)
* @param array 配列
* @param map 各要素に適用する関数
* @return 配列の各要素にmapを適用した配列
*/
public static double[] map(double[] array, java.util.function.DoubleUnaryOperator map) {
double[] ret = java.util.Arrays.copyOf(array, array.length);
for (int i = 0; i < ret.length; ++i) ret[i] = map.applyAsDouble(ret[i]);
return ret;
}
/**
* 配列の各要素を与えられた関数に適用した配列を生成します。
* @complexity O(array.length)
* @param array 配列
* @param map 各要素に適用する関数
* @param generator 新しい配列を生成するための関数、U::newを引数に取る
* @return 配列の各要素にmapを適用した配列
*/
public static <T, U> U[] map(T[] array, java.util.function.Function<T, U> map,
java.util.function.IntFunction<U[]> generator) {
U[] ret = generator.apply(array.length);
for (int i = 0; i < ret.length; ++i) ret[i] = map.apply(array[i]);
return ret;
}
/**
* 配列を昇順にソートします。
* @complexity O(array.length)
* @param array 配列
*/
public static void sort(final byte[] array) {
if (array.length < 128) {
for (int i = 0, j; i < array.length; ++i) {
byte tmp = array[i], tmp2;
for (j = i; j > 0 && (tmp2 = array[j - 1]) > tmp; --j) array[j] = tmp2;
array[j] = tmp;
}
return;
}
int[] count = new int[256];
for (byte i : array) ++count[i & 0xff];
for (int i = 0, j = 0; j < count.length; ++j) java.util.Arrays.fill(array, i, i += count[j], (byte) j);
}
/**
* 配列を昇順にソートします。
* @complexity O(toIndex-fromIndex)
* @param array 配列
*/
public static void sort(final byte[] array, int fromIndex, int toIndex) {
if (toIndex - fromIndex < 128) {
for (int i = fromIndex, j; i < toIndex; ++i) {
byte tmp = array[i], tmp2;
for (j = i; j > fromIndex && (tmp2 = array[j - 1]) > tmp; --j) array[j] = tmp2;
array[j] = tmp;
}
return;
}
int[] count = new int[256];
for (int i = fromIndex; i < toIndex; ++i) ++count[array[i] & 0xff];
for (int i = fromIndex, j = 0; j < count.length; ++j)
java.util.Arrays.fill(array, i, i += count[j], (byte) j);
}
/**
* 配列を昇順にソートします。
* @complexity O(range.getDistance())
* @param array 配列
*/
public static void sort(final byte[] array, IntRange range) {
sort(array, range.getClosedLower(), range.getOpenUpper());
}
/**
* 配列を昇順にソートします。
* @complexity Nを配列長として O(N log N)
* @param array 配列
*/
public static void sort(final short[] array) {
if (array.length < 1024) java.util.Arrays.sort(array);
else sort(array, 0, array.length, 0, new short[array.length]);
}
/**
* 配列を昇順にソートします。
* @complexity N=toIndex-fromIndex として O(N log N)
* @param array 元の配列
* @param fromIndex ソートする左閉区間
* @param toIndex ソートする右開区間
*/
public static void sort(final short[] array, int fromIndex, int toIndex) {
if (toIndex - fromIndex < 1024) java.util.Arrays.sort(array, fromIndex, toIndex);
else sort(array, fromIndex, toIndex, 0, new short[array.length]);
}
/**
* 配列を昇順にソートします。
* @complexity N=range.getDistance() として O(N log N)
* @param array 元の配列
* @param fromIndex ソートする左閉区間
* @param toIndex ソートする右開区間
*/
public static void sort(final short[] array, IntRange range) {
sort(array, range.getClosedLower(), range.getOpenUpper());
}
private static final void sort(short[] a, final int from, final int to, final int l, final short[] bucket) {
final int BUCKET_SIZE = 256;
final int SHORT_RECURSION = 2;
final int MASK = 0xff;
final int shift = l << 3;
final int[] cnt = new int[BUCKET_SIZE + 1];
final int[] put = new int[BUCKET_SIZE];
for (int i = from; i < to; i++) ++cnt[(a[i] >>> shift & MASK) + 1];
for (int i = 0; i < BUCKET_SIZE; i++) cnt[i + 1] += cnt[i];
for (int i = from; i < to; i++) {
int bi = a[i] >>> shift & MASK;
bucket[cnt[bi] + put[bi]++] = a[i];
}
for (int i = BUCKET_SIZE - 1, idx = from; i >= 0; i--) {
int begin = cnt[i];
int len = cnt[i + 1] - begin;
System.arraycopy(bucket, begin, a, idx, len);
idx += len;
}
final int nxtL = l + 1;
if (nxtL < SHORT_RECURSION) {
sort(a, from, to, nxtL, bucket);
if (l == 0) {
int lft, rgt;
lft = from - 1;
rgt = to;
while (rgt - lft > 1) {
int mid = lft + rgt >> 1;
if (a[mid] < 0) lft = mid;
else rgt = mid;
}
reverse(a, from, rgt);
reverse(a, rgt, to);
}
}
}
/**
* 配列を昇順にソートします。
* @complexity Nを配列長として O(N log N)
* @param array 配列
*/
public static void sort(final int[] array) {
if (array.length < 1024) java.util.Arrays.sort(array);
else sort(array, 0, array.length, 0, new int[array.length]);
}
/**
* 配列を昇順にソートします。
* @complexity N=toIndex-fromIndex として O(N log N)
* @param array 元の配列
* @param fromIndex ソートする左閉区間
* @param toIndex ソートする右開区間
*/
public static void sort(final int[] array, int fromIndex, int toIndex) {
if (toIndex - fromIndex < 1024) java.util.Arrays.sort(array, fromIndex, toIndex);
else sort(array, fromIndex, toIndex, 0, new int[array.length]);
}
/**
* 配列を昇順にソートします。
* @complexity N=range.getDistance() として O(N log N)
* @param array 元の配列
* @param fromIndex ソートする左閉区間
* @param toIndex ソートする右開区間
*/
public static void sort(final int[] array, IntRange range) {
sort(array, range.getClosedLower(), range.getOpenUpper());
}
private static final void sort(int[] a, final int from, final int to, final int l, final int[] bucket) {
final int BUCKET_SIZE = 256;
final int INT_RECURSION = 4;
final int MASK = 0xff;
final int shift = l << 3;
final int[] cnt = new int[BUCKET_SIZE + 1];
final int[] put = new int[BUCKET_SIZE];
for (int i = from; i < to; i++) ++cnt[(a[i] >>> shift & MASK) + 1];
for (int i = 0; i < BUCKET_SIZE; i++) cnt[i + 1] += cnt[i];
for (int i = from; i < to; i++) {
int bi = a[i] >>> shift & MASK;
bucket[cnt[bi] + put[bi]++] = a[i];
}
for (int i = BUCKET_SIZE - 1, idx = from; i >= 0; i--) {
int begin = cnt[i];
int len = cnt[i + 1] - begin;
System.arraycopy(bucket, begin, a, idx, len);
idx += len;
}
final int nxtL = l + 1;
if (nxtL < INT_RECURSION) {
sort(a, from, to, nxtL, bucket);
if (l == 0) {
int lft, rgt;
lft = from - 1;
rgt = to;
while (rgt - lft > 1) {
int mid = lft + rgt >> 1;
if (a[mid] < 0) lft = mid;
else rgt = mid;
}
reverse(a, from, rgt);
reverse(a, rgt, to);
}
}
}
/**
* 配列を昇順にソートします。
* @complexity Nを配列長として O(N log N)
* @param array 配列
*/
public static void sort(final long[] array) {
if (array.length < 1024) java.util.Arrays.sort(array);
else sort(array, 0, array.length, 0, new long[array.length]);
}
/**
* 配列を昇順にソートします。
* @complexity N=toIndex-fromIndex として O(N log N)
* @param array 元の配列
* @param fromIndex ソートする左閉区間
* @param toIndex ソートする右開区間
*/
public static void sort(final long[] array, int fromIndex, int toIndex) {
if (toIndex - fromIndex < 1024) java.util.Arrays.sort(array, fromIndex, toIndex);
else sort(array, fromIndex, toIndex, 0, new long[array.length]);
}
/**
* 配列を昇順にソートします。
* @complexity N=range.getDistance() として O(N log N)
* @param array 元の配列
* @param fromIndex ソートする左閉区間
* @param toIndex ソートする右開区間
*/
public static void sort(final long[] array, IntRange range) {
sort(array, range.getClosedLower(), range.getOpenUpper());
}
private static final void sort(long[] a, final int from, final int to, final int l, final long[] bucket) {
final int BUCKET_SIZE = 256;
final int LONG_RECURSION = 8;
final int MASK = 0xff;
final int shift = l << 3;
final int[] cnt = new int[BUCKET_SIZE + 1];
final int[] put = new int[BUCKET_SIZE];
for (int i = from; i < to; i++) ++cnt[(int) ((a[i] >>> shift & MASK) + 1)];
for (int i = 0; i < BUCKET_SIZE; i++) cnt[i + 1] += cnt[i];
for (int i = from; i < to; i++) {
int bi = (int) (a[i] >>> shift & MASK);
bucket[cnt[bi] + put[bi]++] = a[i];
}
for (int i = BUCKET_SIZE - 1, idx = from; i >= 0; i--) {
int begin = cnt[i];
int len = cnt[i + 1] - begin;
System.arraycopy(bucket, begin, a, idx, len);
idx += len;
}
final int nxtL = l + 1;
if (nxtL < LONG_RECURSION) {
sort(a, from, to, nxtL, bucket);
if (l == 0) {
int lft, rgt;
lft = from - 1;
rgt = to;
while (rgt - lft > 1) {
int mid = lft + rgt >> 1;
if (a[mid] < 0) lft = mid;
else rgt = mid;
}
reverse(a, from, rgt);
reverse(a, rgt, to);
}
}
}
/**
* 座標圧縮した配列を返します。
* この関数によって返される配列をretとしたとき、retは次の条件を満たします。
* <ul>
* <li>任意の正整数nに対し、contains(ret, n)がtrueならcontains(ret, n-1)もtrue</li>
* <li>0≦i, j<nを満たすi, jに対し、array[i]<array[j]ならret[i]<ret[j]</li>
* <li>0≦i, j<nを満たすi, jに対し、array[i]==array[j]ならret[i]==ret[j]</li>
* </ul>
* @complexity Nを配列長として O(N log N)
* @param array 座標圧縮を行う配列
* @return arrayを座標圧縮した配列
*/
public static int[] compress(int[] array) {
int[] ret = new int[array.length];
int[] copy = java.util.Arrays.copyOf(array, array.length);
sort(copy);
int len = 1;
for (int j = 1; j < array.length; ++j) {
if (copy[len - 1] != copy[j]) copy[len++] = copy[j];
}
for (int i = 0; i < array.length; ++i) {
int min = 0, max = len;
int comp = array[i];
while (max - min > 1) {
int mid = min + max >> 1;
if (copy[mid] <= comp) min = mid;
else max = mid;
}
ret[i] = min;
}
return ret;
}
/**
* 座標圧縮した配列を返します。
* この関数によって返される配列をretとしたとき、retは次の条件を満たします。
* <ul>
* <li>任意の正整数nに対し、contains(ret, n)がtrueならcontains(ret, n-1)もtrue</li>
* <li>0≦i, j<nを満たすi, jに対し、array[i]<array[j]ならret[i]<ret[j]</li>
* <li>0≦i, j<nを満たすi, jに対し、array[i]==array[j]ならret[i]==ret[j]</li>
* </ul>
* @complexity Nを配列長として O(N log N)
* @param array 座標圧縮を行う配列
* @return arrayを座標圧縮した配列
*/
public static int[] compress(long[] array) {
int[] ret = new int[array.length];
long[] copy = java.util.Arrays.copyOf(array, array.length);
sort(copy);
int len = 1;
for (int j = 1; j < array.length; ++j) {
if (copy[len - 1] != copy[j]) copy[len++] = copy[j];
}
for (int i = 0; i < array.length; ++i) {
int min = 0, max = len;
long comp = array[i];
while (max - min > 1) {
int mid = min + max >> 1;
if (copy[mid] <= comp) min = mid;
else max = mid;
}
ret[i] = min;
}
return ret;
}
/**
* 座標圧縮した配列を返します。
* この関数によって返される配列をretとしたとき、retは次の条件を満たします。
* <ul>
* <li>任意の正整数nに対し、contains(ret, n)がtrueならcontains(ret, n-1)もtrue</li>
* <li>0≦i, j<nを満たすi, jに対し、array[i]<array[j]ならret[i]<ret[j]</li>
* <li>0≦i, j<nを満たすi, jに対し、array[i]==array[j]ならret[i]==ret[j]</li>
* </ul>
* @complexity Nを配列長として O(N log N)
* @param array 座標圧縮を行う配列
* @return arrayを座標圧縮した配列
*/
public static <T extends Comparable<T>> int[] compress(T[] array) {
int[] ret = new int[array.length];
T[] copy = java.util.Arrays.copyOf(array, array.length);
java.util.Arrays.sort(copy);
int len = 1;
for (int j = 1; j < array.length; ++j) {
if (copy[len - 1] != copy[j]) copy[len++] = copy[j];
}
for (int i = 0; i < array.length; ++i) {
int min = 0, max = len;
T comp = array[i];
while (max - min > 1) {
int mid = min + max >> 1;
if (copy[mid].compareTo(comp) <= 0) min = mid;
else max = mid;
}
ret[i] = min;
}
return ret;
}
/**
* 座標圧縮した配列を返します。
* この関数によって返される配列をretとしたとき、retは次の条件を満たします。
* <ul>
* <li>任意の正整数nに対し、contains(ret, n)がtrueならcontains(ret, n-1)もtrue</li>
* <li>0≦i, j<nを満たすi, jに対し、array[i]<array[j]ならret[i]<ret[j]</li>
* <li>0≦i, j<nを満たすi, jに対し、array[i]==array[j]ならret[i]==ret[j]</li>
* </ul>
* @complexity Nを配列長として O(N log N)
* @param array 座標圧縮を行う配列
* @param comparator 比較関数
* @return arrayを座標圧縮した配列
*/
public static <T> int[] compress(T[] array, java.util.Comparator<T> comparator) {
int[] ret = new int[array.length];
T[] copy = java.util.Arrays.copyOf(array, array.length);
java.util.Arrays.sort(copy, comparator);
int len = 1;
for (int j = 1; j < array.length; ++j) {
if (!copy[len - 1].equals(copy[j])) copy[len++] = copy[j];
}
for (int i = 0; i < array.length; ++i) {
int min = 0, max = len;
T comp = array[i];
while (max - min > 1) {
int mid = min + max >> 1;
if (comparator.compare(copy[mid], comp) <= 0) min = mid;
else max = mid;
}
ret[i] = min;
}
return ret;
}
/**
* 座標圧縮した配列を返します。
* この関数によって返される配列をretとしたとき、retは次の条件を満たします。
* <ul>
* <li>任意の正整数nに対し、contains(ret, n)がtrueならcontains(ret, n-1)もtrue</li>
* <li>0≦i, j<nを満たすi, jに対し、list[i]<list[j]ならret[i]<ret[j]</li>
* <li>0≦i, j<nを満たすi, jに対し、list[i]==list[j]ならret[i]==ret[j]</li>
* </ul>
* @complexity Nをリスト長として O(N log N)
* @param list 座標圧縮を行うリスト
* @return listを座標圧縮した配列
* @throws NullPointerException listがnullの場合
*/
public static <T extends Comparable<T>> int[] compress(java.util.List<T> list) {
int size = list.size();
int[] ret = new int[size];
java.util.ArrayList<T> copy = new java.util.ArrayList<>(list);
copy.sort(java.util.Comparator.naturalOrder());
int len = 1;
for (int j = 1; j < size; ++j) {
if (!copy.get(len - 1).equals(copy.get(j))) copy.set(len++, copy.get(j));
}
java.util.Iterator<T> iter = list.iterator();
for (int i = 0; i < size; ++i) {
int min = 0, max = len;
T comp = iter.next();
while (max - min > 1) {
int mid = min + max >> 1;
if (copy.get(mid).compareTo(comp) <= 0) min = mid;
else max = mid;
}
ret[i] = min;
}
return ret;
}
/**
* 座標圧縮した配列を返します。
* この関数によって返される配列をretとしたとき、retは次の条件を満たします。
* <ul>
* <li>任意の正整数nに対し、contains(ret, n)がtrueならcontains(ret, n-1)もtrue</li>
* <li>0≦i, j<nを満たすi, jに対し、list[i]<list[j]ならret[i]<ret[j]</li>
* <li>0≦i, j<nを満たすi, jに対し、list[i]==list[j]ならret[i]==ret[j]</li>
* </ul>
* @complexity Nをリスト長として O(N log N)
* @param list 座標圧縮を行うリスト
* @param comparator 比較関数
* @return listを座標圧縮した配列
*/
public static <T> int[] compress(java.util.List<T> list, java.util.Comparator<T> comparator) {
int[] ret = new int[list.size()];
java.util.ArrayList<T> copy = new java.util.ArrayList<>(list);
copy.sort(comparator);
int[] bit = new int[list.size() + 1];
java.util.Iterator<T> iter = list.iterator();
for (int i = 0; i < list.size(); ++i) {
int min = 0, max = list.size();
T comp = iter.next();
while (max - min > 1) {
int mid = min + max >> 1;
if (comparator.compare(copy.get(mid), comp) <= 0) min = mid;
else max = mid;
}
for (int j = max; j != 0; j -= j & -j) ret[i] += bit[j];
for (int j = max; j < bit.length; j += j & -j) ++bit[j];
}
return ret;
}
/**
* 配列の転倒数を求めます。すなわち、i<jかつarray[i]>array[j]となる(i, j)の個数を求めます。
* @complexity Nを配列長として O(N log N)
* @param array 配列
* @return 転倒数
*/
public static long inversionNumber(int[] array) {
if (array == null) return 0;
int[] copy = java.util.Arrays.copyOf(array, array.length);
sort(copy);
int[] bit = new int[array.length + 1];
long ans = (long) array.length * (array.length - 1) >> 1;
for (int i = 0; i < array.length; ++i) {
int min = 0, max = array.length;
int comp = array[i];
while (max - min > 1) {
int mid = min + max >> 1;
if (copy[mid] <= comp) min = mid;
else max = mid;
}
for (int j = max; j != 0; j -= j & -j) ans -= bit[j];
for (int j = max; j < bit.length; j += j & -j) ++bit[j];
}
return ans;
}
/**
* 配列の転倒数を求めます。すなわち、i<jかつarray[i]>array[j]となる(i, j)の個数を求めます。
* @complexity Nを配列長として O(N log N)
* @param array 配列
* @return 転倒数
*/
public static long inversionNumber(long[] array) {
if (array == null) return 0;
long[] copy = java.util.Arrays.copyOf(array, array.length);
sort(copy);
int[] bit = new int[array.length + 1];
long ans = (long) array.length * (array.length - 1) >> 1;
for (int i = 0; i < array.length; ++i) {
int min = 0, max = array.length;
long comp = array[i];
while (max - min > 1) {
int mid = min + max >> 1;
if (copy[mid] <= comp) min = mid;
else max = mid;
}
for (int j = max; j != 0; j -= j & -j) ans -= bit[j];
for (int j = max; j < bit.length; j += j & -j) ++bit[j];
}
return ans;
}
/**
* 配列の転倒数を求めます。すなわち、i<jかつarray[i]>array[j]となる(i, j)の個数を求めます。
* @complexity Nを配列長として O(N log N)
* @param array 配列
* @return 転倒数
*/
public static long inversionNumber(char[] array) {
if (array == null) return 0;
int[] a = new int[array.length];
for (int i = 0;i < array.length;++ i) a[i] = array[i];
return inversionNumber(a);
}
/**
* 配列の転倒数を求めます。すなわち、i<jかつarray[i]>array[j]となる(i, j)の個数を求めます。
* @complexity Nを配列長として O(N log N)
* @param array 配列
* @return 転倒数
*/
public static long inversionNumber(String array) {
if (array == null) return 0;
return inversionNumber(array.toCharArray());
}
/**
* 2つの配列の転倒距離を求めます。つまり、配列srcの隣接する2要素をswapして配列destと一致させるまでのswap回数の最小値を求めます。
* @complexity N=src.length, M=dest.lengthとしてO((N+M)log(N+M))
* @param src 配列
* @param dest 配列
* @return srcとdestの転倒距離、ただしsrcを隣接swapすることでdestが構築できない場合は-1
*/
public static long inversionDistance(int[] src, int[] dest) {
if (src == null || dest == null) return src == null && dest == null ? 0 : -1;
int[] copySrc = java.util.Arrays.copyOf(src, src.length),
copyDest = java.util.Arrays.copyOf(dest, dest.length);
sort(copySrc);
sort(copyDest);
if (!java.util.Arrays.equals(copySrc, copyDest)) return -1;
int[] key = new int[dest.length];
for (int i = 0; i < dest.length; ++i) {
int min = -1, max = dest.length;
int comp = dest[i];
while (max - min > 1) {
int mid = min + max >> 1;
if (copyDest[mid] < comp) min = mid;
else max = mid;
}
key[max] = i;
copyDest[max] = max == 0 ? Integer.MIN_VALUE : copyDest[max - 1];
}
int[] bit = new int[src.length + 1];
long ans = (long) src.length * (src.length - 1) >> 1;
for (int i = 0; i < src.length; ++i) {
int min = -1, max = src.length;
int comp = src[i];
while (max - min > 1) {
int mid = min + max >> 1;
if (copySrc[mid] < comp) min = mid;
else max = mid;
}
copySrc[max] = max == 0 ? Integer.MIN_VALUE : copySrc[max - 1];
max = key[max] + 1;
for (int j = max; j != 0; j -= j & -j) ans -= bit[j];
for (int j = max; j < bit.length; j += j & -j) ++bit[j];
}
return ans;
}
/**
* 2つの配列の転倒距離を求めます。つまり、配列srcの隣接する2要素をswapして配列destと一致させるまでのswap回数の最小値を求めます。
* @complexity N=src.length, M=dest.lengthとしてO((N+M)log(N+M))
* @param src 配列
* @param dest 配列
* @return srcとdestの転倒距離、ただしsrcを隣接swapすることでdestが構築できない場合は-1
*/
public static long inversionDistance(long[] src, long[] dest) {
if (src == null || dest == null) return src == null && dest == null ? 0 : -1;
long[] copySrc = java.util.Arrays.copyOf(src, src.length),
copyDest = java.util.Arrays.copyOf(dest, dest.length);
sort(copySrc);
sort(copyDest);
if (!java.util.Arrays.equals(copySrc, copyDest)) return -1;
int[] key = new int[dest.length];
for (int i = 0; i < dest.length; ++i) {
int min = -1, max = dest.length;
long comp = dest[i];
while (max - min > 1) {
int mid = min + max >> 1;
if (copyDest[mid] < comp) min = mid;
else max = mid;
}
key[max] = i;
copyDest[max] = max == 0 ? Integer.MIN_VALUE : copyDest[max - 1];
}
int[] bit = new int[src.length + 1];
long ans = (long) src.length * (src.length - 1) >> 1;
for (int i = 0; i < src.length; ++i) {
int min = -1, max = src.length;
long comp = src[i];
while (max - min > 1) {
int mid = min + max >> 1;
if (copySrc[mid] < comp) min = mid;
else max = mid;
}
copySrc[max] = max == 0 ? Integer.MIN_VALUE : copySrc[max - 1];
max = key[max] + 1;
for (int j = max; j != 0; j -= j & -j) ans -= bit[j];
for (int j = max; j < bit.length; j += j & -j) ++bit[j];
}
return ans;
}
/**
* 2つの配列の転倒距離を求めます。つまり、配列srcの隣接する2要素をswapして配列destと一致させるまでのswap回数の最小値を求めます。
* @complexity N=src.length, M=dest.lengthとしてO((N+M)log(N+M))
* @param src 配列
* @param dest 配列
* @return srcとdestの転倒距離、ただしsrcを隣接swapすることでdestが構築できない場合は-1
*/
public static long inversionDistance(char[] src, char[] dest) {
if (src == null || dest == null) return src == null && dest == null ? 0 : -1;
int[] a = new int[src.length];
for (int i = 0;i < src.length;++ i) a[i] = src[i];
int[] b = new int[dest.length];
for (int i = 0;i < dest.length;++ i) b[i] = dest[i];
return inversionDistance(a, b);
}
/**
* 2つの配列の転倒距離を求めます。つまり、配列srcの隣接する2要素をswapして配列destと一致させるまでのswap回数の最小値を求めます。
* @complexity N=src.length, M=dest.lengthとしてO((N+M)log(N+M))
* @param src 配列
* @param dest 配列
* @return srcとdestの転倒距離、ただしsrcを隣接swapすることでdestが構築できない場合は-1
*/
public static long inversionDistance(String src, String dest) {
if (src == null || dest == null) return src == null && dest == null ? 0 : -1;
return inversionDistance(src.toCharArray(), dest.toCharArray());
}
}
}
class ACL {
public static final class DisjointSetUnion {
private final int[] parent;
private DisjointSetUnion(final int n) {
parent = new int[n];
java.util.Arrays.fill(parent, -1);
}
public static DisjointSetUnion create(final int n) {
return new DisjointSetUnion(n);
}
public int getLeader(int a) {
int p1, p2;
while ((p1 = parent[a]) >= 0) {
if ((p2 = parent[p1]) >= 0) a = parent[a] = p2;
else return p1;
}
return a;
}
public int merge(int a, int b) {
a = getLeader(a);
b = getLeader(b);
if (a == b) return a;
if (parent[a] < parent[b]) {
parent[b] += parent[a];
parent[a] = b;
return b;
}
parent[a] += parent[b];
parent[b] = a;
return a;
}
public boolean isSame(final int a, final int b) {
return getLeader(a) == getLeader(b);
}
public int getSize(final int a) {
return -parent[getLeader(a)];
}
public java.util.ArrayList<java.util.ArrayList<Integer>> getGroups() {
final Object[] group = new Object[parent.length];
final java.util.ArrayList<java.util.ArrayList<Integer>> ret = new java.util.ArrayList<>();
for (int i = 0; i < parent.length; ++i) {
final int leader = getLeader(i);
final Object put = group[leader];
if (put == null) {
final java.util.ArrayList<Integer> list = new java.util.ArrayList<>();
list.add(i);
ret.add(list);
group[leader] = list;
} else {
@SuppressWarnings("unchecked")
final java.util.ArrayList<Integer> list = (java.util.ArrayList<Integer>) put;
list.add(i);
}
}
return ret;
}
@Override
public String toString() {
return getGroups().toString();
}
}
public static final class IntFenwickTree {
private final int[] array;
private IntFenwickTree(final int n) {
array = new int[n + 1];
}
private IntFenwickTree(final int[] array) {
this(array.length);
System.arraycopy(array, 0, this.array, 1, array.length);
for (int i = 1; i < this.array.length; ++i)
if (i + (i & -i) < this.array.length) this.array[i + (i & -i)] += this.array[i];
}
public static IntFenwickTree create(final int n) {
return new IntFenwickTree(n);
}
public static IntFenwickTree create(final int[] array) {
return new IntFenwickTree(array);
}
public void add(int index, final int add) {
++index;
while (index < array.length) {
array[index] += add;
index += index & -index;
}
}
private int sum(int index) {
int sum = 0;
while (index > 0) {
sum += array[index];
index -= index & -index;
}
return sum;
}
public int sum(final int l, final int r) {
return sum(r) - sum(l);
}
@Override
public String toString() {
return java.util.stream.IntStream.range(0, array.length - 1)
.mapToObj(i -> String.valueOf(sum(i + 1) - sum(i)))
.collect(java.util.stream.Collectors.joining(", ", "[", "]"));
}
}
public static final class LongFenwickTree {
private final long[] array;
private LongFenwickTree(final int n) {
array = new long[n + 1];
}
private LongFenwickTree(final long[] array) {
this(array.length);
System.arraycopy(array, 0, this.array, 1, array.length);
for (int i = 1; i < this.array.length; ++i)
if (i + (i & -i) < this.array.length) this.array[i + (i & -i)] += this.array[i];
}
public static LongFenwickTree create(final int n) {
return new LongFenwickTree(n);
}
public static LongFenwickTree create(final long[] array) {
return new LongFenwickTree(array);
}
public void add(int index, final long add) {
++index;
while (index < array.length) {
array[index] += add;
index += index & -index;
}
}
private long sum(int index) {
long sum = 0;
while (index > 0) {
sum += array[index];
index -= index & -index;
}
return sum;
}
public long sum(final int l, final int r) {
return sum(r) - sum(l);
}
@Override
public String toString() {
return java.util.stream.IntStream.range(0, array.length - 1)
.mapToObj(i -> String.valueOf(sum(i + 1) - sum(i)))
.collect(java.util.stream.Collectors.joining(", ", "[", "]"));
}
}
public static final class MathLib {
public static class Barrett {
private final int mod;
private final long h, l;
private final long MAX = 1L << 62;
private final int MASK = (1 << 31) - 1;
Barrett(final int mod) {
this.mod = mod;
final long t = MAX / mod;
h = t >>> 31;
l = t & MASK;
}
int reduce(final long x) {
final long xh = x >>> 31, xl = x & MASK;
long z = xl * l;
z = xl * h + xh * l + (z >>> 31);
z = xh * h + (z >>> 31);
final int ret = (int) (x - z * mod);
return ret >= mod ? ret - mod : ret;
}
}
public static class BarrettSmall {
private final int mod;
final long t;
BarrettSmall(final int mod) {
this.mod = mod;
t = (1L << 42) / mod;
}
int reduce(long x) {
long q = x * t >> 42;
x -= q * mod;
return (int) (x >= mod ? x - mod : x);
}
}
private static long safe_mod(long x, final long m) {
x %= m;
if (x < 0) x += m;
return x;
}
private static long[] inv_gcd(long a, final long b) {
a = safe_mod(a, b);
if (a == 0) return new long[] { b, 0 };
long s = b, t = a;
long m0 = 0, m1 = 1;
while (t > 0) {
final long u = s / t;
s -= t * u;
m0 -= m1 * u;
long tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
if (m0 < 0) m0 += b / s;
return new long[] { s, m0 };
}
public static int pow(long n, long m, final int mod) {
assert m >= 0 && mod >= 1;
if (mod == 1) return 0;
return pow(n, m, new Barrett(mod));
}
public static int pow(long n, long m, Barrett mod) {
assert m >= 0;
long ans = 1, num = n % mod.mod;
while (m != 0) {
if ((m & 1) != 0) ans = mod.reduce(ans * num);
m >>>= 1;
num = mod.reduce(num * num);
}
return (int) ans;
}
public static int pow998_244_353(long n, long m) {
assert m >= 0;
long ans = 1, num = n % 998_244_353;
while (m != 0) {
if ((m & 1) != 0) ans = ans * num % 998_244_353;
m >>>= 1;
num = num * num % 998_244_353;
}
return (int) ans;
}
public static int pow167_772_161(long n, long m) {
assert m >= 0;
long ans = 1, num = n % 167_772_161;
while (m != 0) {
if ((m & 1) != 0) ans = ans * num % 167_772_161;
m >>>= 1;
num = num * num % 167_772_161;
}
return (int) ans;
}
public static int pow469_762_049(long n, long m) {
assert m >= 0;
long ans = 1, num = n % 469_762_049;
while (m != 0) {
if ((m & 1) != 0) ans = ans * num % 469_762_049;
m >>>= 1;
num = num * num % 469_762_049;
}
return (int) ans;
}
public static int pow1_000_000_007(long n, long m) {
assert m >= 0;
long ans = 1, num = n % 1_000_000_007;
while (m != 0) {
if ((m & 1) != 0) ans = ans * num % 1_000_000_007;
m >>>= 1;
num = num * num % 1_000_000_007;
}
return (int) ans;
}
public static int pow(long n, long m, BarrettSmall mod) {
assert m >= 0;
long ans = 1, num = n % mod.mod;
while (m != 0) {
if ((m & 1) != 0) ans = mod.reduce(ans * num);
m >>>= 1;
num = mod.reduce(num * num);
}
return (int) ans;
}
public static long[] crt(final long[] r, final long[] m) {
assert r.length == m.length;
final int n = r.length;
long r0 = 0, m0 = 1;
for (int i = 0; i < n; i++) {
assert 1 <= m[i];
long r1 = safe_mod(r[i], m[i]), m1 = m[i];
if (m0 < m1) {
long tmp = r0;
r0 = r1;
r1 = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
if (m0 % m1 == 0) {
if (r0 % m1 != r1) return new long[] { 0, 0 };
continue;
}
final long[] ig = inv_gcd(m0, m1);
final long g = ig[0], im = ig[1];
final long u1 = m1 / g;
if ((r1 - r0) % g != 0) return new long[] { 0, 0 };
final long x = (r1 - r0) / g % u1 * im % u1;
r0 += x * m0;
m0 *= u1;
if (r0 < 0) r0 += m0;
// System.err.printf("%d %d\n", r0, m0);
}
return new long[] { r0, m0 };
}
public static long floor_sum(final long n, final long m, long a, long b) {
long ans = 0;
if (a >= m) {
ans += (n - 1) * n * (a / m) / 2;
a %= m;
}
if (b >= m) {
ans += n * (b / m);
b %= m;
}
final long y_max = (a * n + b) / m;
final long x_max = y_max * m - b;
if (y_max == 0) return ans;
ans += (n - (x_max + a - 1) / a) * y_max;
ans += floor_sum(y_max, a, m, (a - x_max % a) % a);
return ans;
}
/**
* aとbの最大公約数を返します。
* @param a 整数
* @param b 整数
* @return 最大公約数
*/
public static int gcd(int a, int b) {
while (a != 0) if ((b %= a) != 0) a %= b;
else return a;
return b;
}
/**
* 配列全ての値の最大公約数を返します。
* @param array 配列
* @return 最大公約数
*/
public static int gcd(int... array) {
int ret = array[0];
for (int i = 1; i < array.length; ++i) ret = gcd(ret, array[i]);
return ret;
}
/**
* aとbの最大公約数を返します。
* @param a 整数
* @param b 整数
* @return 最大公約数
*/
public static long gcd(long a, long b) {
while (a != 0) if ((b %= a) != 0) a %= b;
else return a;
return b;
}
/**
* 配列全ての値の最大公約数を返します。
* @param array 配列
* @return 最大公約数
*/
public static long gcd(long... array) {
long ret = array[0];
for (int i = 1; i < array.length; ++i) ret = gcd(ret, array[i]);
return ret;
}
/**
* 配列全ての値の最小公倍数を返します。
* @param a 整数
* @param b 整数
* @return 最小公倍数
*/
public static long lcm(int a, int b) {
return a / gcd(a, b) * (long) b;
}
/**
* 配列全ての値の最小公倍数を返します。
* @param a 整数
* @param b 整数
* @return 最小公倍数
*/
public static long lcm(long a, long b) {
return a / gcd(a, b) * b;
}
/**
* 配列全ての値の最小公倍数を返します。
* @param array 配列
* @return 最小公倍数
*/
public static long lcm(int... array) {
long ret = array[0];
for (int i = 1; i < array.length; ++i) ret = lcm(ret, array[i]);
return ret;
}
/**
* aとbのうち、小さい方を返します。
* @param a 整数
* @param b 整数
* @return aとbのうち小さい方の値
*/
public static int min(int a, int b) {
return a < b ? a : b;
}
/**
* 配列の中で最小の値を返します。
* @param array 配列
* @return 配列の中で最小の値
*/
public static int min(int... array) {
int ret = array[0];
for (int i = 1; i < array.length; ++i) ret = min(ret, array[i]);
return ret;
}
/**
* aとbのうち、小さい方を返します。
* @param a 整数
* @param b 整数
* @return aとbのうち小さい方の値
*/
public static long min(long a, long b) {
return a < b ? a : b;
}
/**
* 配列の中で最小の値を返します。
* @param array 配列
* @return 配列の中で最小の値
*/
public static long min(long... array) {
long ret = array[0];
for (int i = 1; i < array.length; ++i) ret = min(ret, array[i]);
return ret;
}
/**
* aとbのうち、大きい方を返します。
* @param a 整数
* @param b 整数
* @return aとbのうち大きい方の値
*/
public static int max(int a, int b) {
return a > b ? a : b;
}
/**
* 配列の中で最大の値を返します。
* @param array 配列
* @return 配列の中で最大の値
*/
public static int max(int... array) {
int ret = array[0];
for (int i = 1; i < array.length; ++i) ret = max(ret, array[i]);
return ret;
}
/**
* aとbのうち、大きい方を返します。
* @param a 整数
* @param b 整数
* @return aとbのうち大きい方の値
*/
public static long max(long a, long b) {
return a > b ? a : b;
}
/**
* 配列の中で最大の値を返します。
* @param array 配列
* @return 配列の中で最大の値
*/
public static long max(long... array) {
long ret = array[0];
for (int i = 1; i < array.length; ++i) ret = max(ret, array[i]);
return ret;
}
/**
* 配列の値の合計を返します。
* @param array 配列
* @return 配列の値の総和
*/
public static long sum(int... array) {
long ret = 0;
for (int i : array) ret += i;
return ret;
}
/**
* 配列の値の合計を返します。
* @param array 配列
* @return 配列の値の総和
*/
public static long sum(long... array) {
long ret = 0;
for (long i : array) ret += i;
return ret;
}
/**
* 二項係数を列挙した配列を返します。
* @param l 左辺
* @param r 右辺
* @return 0≦i≦l及び0≦j≦rを満たす全てのi, jに対してi choose jを求めた配列
*/
public static long[][] combination(int l, int r) {
long[][] pascal = new long[l + 1][r + 1];
pascal[0][0] = 1;
for (int i = 1; i <= l; ++i) {
pascal[i][0] = 1;
for (int j = 1; j <= r; ++j) {
pascal[i][j] = pascal[i - 1][j - 1] + pascal[i - 1][j];
}
}
return pascal;
}
/**
* 二分探索を行い、func(x) != func(x+1)となるような数xを発見します。
* funcが単調な関数であるとき、発見されるxは一意に定まります。
* @param isTrue func(isTrue)=trueとなるような値
* @param isFalse func(isFalse)=falseとなるような値
* @param func 関数
* @complexity O(log(max(isTrue, isFalse) - min(isTrue, isFalse)))
* @return func(x) != func(x+1)となるような数x
*/
public static int binarySearch(int isTrue, int isFalse, java.util.function.IntPredicate func) {
if (isTrue <= isFalse) {
int halfDiff = isFalse - isTrue >> 1, mid = isTrue + halfDiff;
while(halfDiff != 0) {
if (func.test(mid)) isTrue = mid;
else isFalse = mid;
halfDiff = isFalse - isTrue >> 1;
mid = isTrue + halfDiff;
}
return isTrue;
} else {
int halfDiff = isTrue - isFalse >> 1, mid = isFalse + halfDiff;
while(halfDiff != 0) {
if (func.test(mid)) isTrue = mid;
else isFalse = mid;
halfDiff = isTrue - isFalse >> 1;
mid = isFalse + halfDiff;
}
return isFalse;
}
}
/**
* 二分探索を行い、func(x) != func(x+1)となるような数xを発見します。
* funcが単調な関数であるとき、発見されるxは一意に定まります。
* @param isTrue func(isTrue)=trueとなるような値
* @param isFalse func(isFalse)=falseとなるような値
* @param func 関数
* @complexity O(log(max(isTrue, isFalse) - min(isTrue, isFalse)))
* @return func(x) != func(x+1)となるような数x
*/
public static long binarySearch(long isTrue, long isFalse, java.util.function.LongPredicate func) {
if (isTrue <= isFalse) {
long halfDiff = isFalse - isTrue >> 1, mid = isTrue + halfDiff;
while(halfDiff != 0) {
if (func.test(mid)) isTrue = mid;
else isFalse = mid;
halfDiff = isFalse - isTrue >> 1;
mid = isTrue + halfDiff;
}
return isTrue;
} else {
long halfDiff = isTrue - isFalse >> 1, mid = isFalse + halfDiff;
while(halfDiff != 0) {
if (func.test(mid)) isTrue = mid;
else isFalse = mid;
halfDiff = isTrue - isFalse >> 1;
mid = isFalse + halfDiff;
}
return isFalse;
}
}
/**
* 二分探索を行い、func(x) != func(x+Math.nextUp(x))となるような数xを発見します。
* funcが単調な関数であるとき、発見されるxは一意に定まります。
* @param isTrue func(isTrue)=trueとなるような値
* @param isFalse func(isFalse)=falseとなるような値
* @param func 関数
* @complexity O(log(max(isTrue, isFalse) - min(isTrue, isFalse)))
* @return func(x) != func(x+Math.nextUp(x))となるような数x
*/
public static double binarySearch(double isTrue, double isFalse, java.util.function.DoublePredicate func) {
return Double.longBitsToDouble(binarySearch(Double.doubleToRawLongBits(isTrue), Double.doubleToRawLongBits(isFalse), (long i) -> func.test(Double.longBitsToDouble(i))));
}
/**
* 下に凸な関数の極小値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param loop 探索回数
* @param func 関数
* @return 極小値
*/
public static <T extends Comparable<T>> double find_minimal(double min, double max, int loop, java.util.function.DoubleFunction<T> func) {
return find_minimal(min, max, loop, func, java.util.Comparator.naturalOrder());
}
/**
* 下に凸な関数の極小値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param loop 探索回数
* @param func 関数
* @param comparator 比較関数
* @return 極小値
*/
public static <T> double find_minimal(double min, double max, int loop, java.util.function.DoubleFunction<T> func, java.util.Comparator<T> comparator) {
double phi = (1 + Math.sqrt(5)) / 2;
for (int i = 0;i < loop;++ i) {
double mid_min = (min * phi + max) / (1 + phi), mid_max = (min + max * phi) / (1 + phi);
T mid_min_calc = func.apply(mid_min), mid_max_calc = func.apply(mid_max);
if (comparator.compare(mid_min_calc, mid_max_calc) <= 0) max = mid_max;
else min = mid_min;
}
return min;
}
/**
* 上に凸な関数の極大値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param loop 探索回数
* @param func 関数
* @return 極大値
*/
public static <T extends Comparable<T>> double find_maximal(double min, double max, int loop, java.util.function.DoubleFunction<T> func) {
return find_maximal(min, max, loop, func, java.util.Comparator.naturalOrder());
}
/**
* 上に凸な関数の極大値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param loop 探索回数
* @param func 関数
* @param comparator 比較関数
* @return 極大値
*/
public static <T> double find_maximal(double min, double max, int loop, java.util.function.DoubleFunction<T> func, java.util.Comparator<T> comparator) {
if (max <= min) throw new IllegalArgumentException("empty range");
double phi = (1 + Math.sqrt(5)) / 2;
for (int i = 0;i < loop;++ i) {
double mid_min = (min * phi + max) / (1 + phi), mid_max = (min + max * phi) / (1 + phi);
T mid_min_calc = func.apply(mid_min), mid_max_calc = func.apply(mid_max);
if (comparator.compare(mid_min_calc, mid_max_calc) >= 0) max = mid_max;
else min = mid_min;
}
return min;
}
/**
* 下に凸な関数の極小値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param func 関数
* @return 極小値
*/
public static <T extends Comparable<T>> int find_minimal(int min, int max, java.util.function.IntFunction<T> func) {
return find_minimal(min, max, func, java.util.Comparator.naturalOrder());
}
/**
* 下に凸な関数の極小値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param func 関数
* @param comparator 比較関数
* @return 極小値
*/
public static <T> int find_minimal(int min, int max, java.util.function.IntFunction<T> func, java.util.Comparator<T> comparator) {
-- min;
int range = max - min;
if (range <= 1) throw new IllegalArgumentException("empty range");
int fib_small = 1, fib_large = 1;
while(fib_large < range) {
fib_large += fib_small;
fib_small = fib_large - fib_small;
}
T mid_min_calc = null, mid_max_calc = null;
int last_calc = -1;
final int LAST_CALC_IS_MIN = 0, LAST_CALC_IS_MAX = 1;
while(max - min > 2) {
fib_small = fib_large - fib_small;
fib_large -= fib_small;
int mid_min = min + fib_small, mid_max = min + fib_large;
if (mid_max >= max) {
mid_max_calc = mid_min_calc;
last_calc = LAST_CALC_IS_MAX;
continue;
}
if (last_calc != LAST_CALC_IS_MIN) mid_min_calc = func.apply(mid_min);
if (last_calc != LAST_CALC_IS_MAX) mid_max_calc = func.apply(mid_max);
if (comparator.compare(mid_min_calc, mid_max_calc) <= 0) {
max = mid_max;
mid_max_calc = mid_min_calc;
last_calc = LAST_CALC_IS_MAX;
} else {
min = mid_min;
mid_min_calc = mid_max_calc;
last_calc = LAST_CALC_IS_MIN;
}
}
return min + 1;
}
/**
* 上に凸な関数の極大値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param func 関数
* @return 極大値
*/
public static <T extends Comparable<T>> int find_maximal(int min, int max, java.util.function.IntFunction<T> func) {
return find_maximal(min, max, func, java.util.Comparator.naturalOrder());
}
/**
* 上に凸な関数の極大値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param func 関数
* @param comparator 比較関数
* @return 極大値
*/
public static <T> int find_maximal(int min, int max, java.util.function.IntFunction<T> func, java.util.Comparator<T> comparator) {
-- min;
int range = max - min;
if (range <= 1) throw new IllegalArgumentException("empty range");
int fib_small = 1, fib_large = 1;
while(fib_large < range) {
fib_large += fib_small;
fib_small = fib_large - fib_small;
}
T mid_min_calc = null, mid_max_calc = null;
int last_calc = -1;
final int LAST_CALC_IS_MIN = 0, LAST_CALC_IS_MAX = 1;
while(max - min > 2) {
fib_small = fib_large - fib_small;
fib_large -= fib_small;
int mid_min = min + fib_small, mid_max = min + fib_large;
if (mid_max >= max) {
mid_max_calc = mid_min_calc;
last_calc = LAST_CALC_IS_MAX;
continue;
}
if (last_calc != LAST_CALC_IS_MIN) mid_min_calc = func.apply(mid_min);
if (last_calc != LAST_CALC_IS_MAX) mid_max_calc = func.apply(mid_max);
if (comparator.compare(mid_min_calc, mid_max_calc) >= 0) {
max = mid_max;
mid_max_calc = mid_min_calc;
last_calc = LAST_CALC_IS_MAX;
} else {
min = mid_min;
mid_min_calc = mid_max_calc;
last_calc = LAST_CALC_IS_MIN;
}
}
return min + 1;
}
/**
* 下に凸な関数の極小値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param func 関数
* @return 極小値
*/
public static <T extends Comparable<T>> long find_minimal(long min, long max, java.util.function.LongFunction<T> func) {
return find_minimal(min, max, func, java.util.Comparator.naturalOrder());
}
/**
* 下に凸な関数の極小値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param func 関数
* @param comparator 比較関数
* @return 極小値
*/
public static <T> long find_minimal(long min, long max, java.util.function.LongFunction<T> func, java.util.Comparator<T> comparator) {
-- min;
long range = max - min;
if (range <= 1) throw new IllegalArgumentException("empty range");
long fib_small = 1, fib_large = 1;
while(fib_large < range) {
fib_large += fib_small;
fib_small = fib_large - fib_small;
}
T mid_min_calc = null, mid_max_calc = null;
int last_calc = -1;
final int LAST_CALC_IS_MIN = 0, LAST_CALC_IS_MAX = 1;
while(max - min > 2) {
fib_small = fib_large - fib_small;
fib_large -= fib_small;
long mid_min = min + fib_small, mid_max = min + fib_large;
if (mid_max >= max) {
mid_max_calc = mid_min_calc;
last_calc = LAST_CALC_IS_MAX;
continue;
}
if (last_calc != LAST_CALC_IS_MIN) mid_min_calc = func.apply(mid_min);
if (last_calc != LAST_CALC_IS_MAX) mid_max_calc = func.apply(mid_max);
if (comparator.compare(mid_min_calc, mid_max_calc) <= 0) {
max = mid_max;
mid_max_calc = mid_min_calc;
last_calc = LAST_CALC_IS_MAX;
} else {
min = mid_min;
mid_min_calc = mid_max_calc;
last_calc = LAST_CALC_IS_MIN;
}
}
return min + 1;
}
/**
* 上に凸な関数の極大値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param func 関数
* @return 極大値
*/
public static <T extends Comparable<T>> long find_maximal(long min, long max, java.util.function.LongFunction<T> func) {
return find_maximal(min, max, func, java.util.Comparator.naturalOrder());
}
/**
* 上に凸な関数の極大値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param func 関数
* @param comparator 比較関数
* @return 極大値
*/
public static <T> long find_maximal(long min, long max, java.util.function.LongFunction<T> func, java.util.Comparator<T> comparator) {
-- min;
long range = max - min;
if (range <= 1) throw new IllegalArgumentException("empty range");
long fib_small = 1, fib_large = 1;
while(fib_large < range) {
fib_large += fib_small;
fib_small = fib_large - fib_small;
}
T mid_min_calc = null, mid_max_calc = null;
int last_calc = -1;
final int LAST_CALC_IS_MIN = 0, LAST_CALC_IS_MAX = 1;
while(max - min > 2) {
fib_small = fib_large - fib_small;
fib_large -= fib_small;
long mid_min = min + fib_small, mid_max = min + fib_large;
if (mid_max >= max) {
mid_max_calc = mid_min_calc;
last_calc = LAST_CALC_IS_MAX;
continue;
}
if (last_calc != LAST_CALC_IS_MIN) mid_min_calc = func.apply(mid_min);
if (last_calc != LAST_CALC_IS_MAX) mid_max_calc = func.apply(mid_max);
if (comparator.compare(mid_min_calc, mid_max_calc) >= 0) {
max = mid_max;
mid_max_calc = mid_min_calc;
last_calc = LAST_CALC_IS_MAX;
} else {
min = mid_min;
mid_min_calc = mid_max_calc;
last_calc = LAST_CALC_IS_MIN;
}
}
return min + 1;
}
public static class BezoutCoefficients {
public final long a, b;
public final long x, y;
public final long gcd;
private BezoutCoefficients(long a, long b, long x, long y, long gcd) {
this.a = a;
this.b = b;
this.x = x;
this.y = y;
this.gcd = gcd;
}
/**
* lx≦i<rxかつly≦j<ryを満たす整数i, jであって、ai+bj=ax+byとなる解の個数を求めます。
* @param lx iの下限(これを含む)
* @param rx iの上限(これを含まない)
* @param ly jの下限(これを含む)
* @param ry jの上限(これを含まない)
* @return 解の個数
* @complexity O(1)
*/
public long countSatisfySolution(long lx, long rx, long ly, long ry) {
long ag = a / gcd, bg = b / gcd;
long la = Math.floorDiv(lx - x + bg - 1, bg), ra = Math.floorDiv(rx - x - 1, bg) + 1;
long lb = Math.floorDiv(y - ry, ag) + 1, rb = Math.floorDiv(y - ly, ag) + 1;
return Math.max(0, Math.min(ra, rb) - Math.max(la, lb));
}
@Override
public String toString() {
return "(" + x + ", " + y + "), gcd=" + gcd;
}
/**
* ax+by=gcd(a, b)となるような解を一つ求めます。
* この時、|x|≦|b/gcd(a,b)|、|y|≦|a/gcd(a,b)|であることが保証されます。
* @param a 整数
* @param b 整数
* @return 与えられた一次不定方程式の解
* @complexity O(log(min(a, b)))
*/
public static BezoutCoefficients solve(long a, long b) {
int as = Long.signum(a);
int bs = Long.signum(b);
long aa = Math.abs(a);
long ba = Math.abs(b);
long p = 1, q = 0, r = 0, s = 1;
while(ba != 0){
long c = aa / ba;
long e;
e = aa; aa = ba; ba = e % ba;
e = p; p = q; q = e - c * q;
e = r; r = s; s = e - c * s;
}
return new BezoutCoefficients(a, b, p * as, r * bs, aa);
}
/**
* ax+by=dとなるような解を一つ求めます。
* @param a 整数
* @param b 整数
* @param d 不定方程式の解
* @return 与えられた一次不定方程式の解(存在しなければnull)
* @complexity O(log(min(a, b)))
*/
public static BezoutCoefficients solve(long a, long b, long d) {
int as = Long.signum(a);
int bs = Long.signum(b);
long aa = Math.abs(a);
long ba = Math.abs(b);
long p = 1, q = 0, r = 0, s = 1;
while(ba != 0){
long c = aa / ba;
long e;
e = aa; aa = ba; ba = e % ba;
e = p; p = q; q = e - c * q;
e = r; r = s; s = e - c * s;
}
if (d % aa != 0) return null;
long divd = d / a, modd = d % a / aa;
return new BezoutCoefficients(a, b, p * as * modd + divd, r * bs * modd, aa);
}
}
}
/**
* @verified https://atcoder.jp/contests/practice2/tasks/practice2_d
*/
public static final class MaxFlow {
private static final class InternalCapEdge {
final int to;
final int rev;
long cap;
InternalCapEdge(int to, int rev, long cap) {
this.to = to;
this.rev = rev;
this.cap = cap;
}
}
public static final class CapEdge {
public final int from, to;
public final long cap, flow;
CapEdge(int from, int to, long cap, long flow) {
this.from = from;
this.to = to;
this.cap = cap;
this.flow = flow;
}
@Override
public boolean equals(Object o) {
if (o instanceof CapEdge) {
CapEdge e = (CapEdge) o;
return from == e.from && to == e.to && cap == e.cap && flow == e.flow;
}
return false;
}
}
private static final class IntPair {
final int first, second;
IntPair(int first, int second) {
this.first = first;
this.second = second;
}
}
static final long INF = Long.MAX_VALUE;
private final int n;
private final java.util.ArrayList<IntPair> pos;
private final java.util.ArrayList<InternalCapEdge>[] g;
@SuppressWarnings("unchecked")
public MaxFlow(int n) {
this.n = n;
pos = new java.util.ArrayList<>();
g = new java.util.ArrayList[n];
for (int i = 0; i < n; i++) {
g[i] = new java.util.ArrayList<>();
}
}
public int addEdge(int from, int to, long cap) {
rangeCheck(from, 0, n);
rangeCheck(to, 0, n);
nonNegativeCheck(cap, "Capacity");
int m = pos.size();
pos.add(new IntPair(from, g[from].size()));
int fromId = g[from].size();
int toId = g[to].size();
if (from == to) toId++;
g[from].add(new InternalCapEdge(to, toId, cap));
g[to].add(new InternalCapEdge(from, fromId, 0L));
return m;
}
private InternalCapEdge getInternalEdge(int i) {
return g[pos.get(i).first].get(pos.get(i).second);
}
private InternalCapEdge getInternalEdgeReversed(InternalCapEdge e) {
return g[e.to].get(e.rev);
}
public CapEdge getEdge(int i) {
int m = pos.size();
rangeCheck(i, 0, m);
InternalCapEdge e = getInternalEdge(i);
InternalCapEdge re = getInternalEdgeReversed(e);
return new CapEdge(re.to, e.to, e.cap + re.cap, re.cap);
}
public CapEdge[] getEdges() {
CapEdge[] res = new CapEdge[pos.size()];
java.util.Arrays.setAll(res, this::getEdge);
return res;
}
public void changeEdge(int i, long newCap, long newFlow) {
int m = pos.size();
rangeCheck(i, 0, m);
nonNegativeCheck(newCap, "Capacity");
if (newFlow > newCap) {
throw new IllegalArgumentException(
String.format("Flow %d is greater than the capacity %d.", newCap, newFlow));
}
InternalCapEdge e = getInternalEdge(i);
InternalCapEdge re = getInternalEdgeReversed(e);
e.cap = newCap - newFlow;
re.cap = newFlow;
}
public long maxFlow(int s, int t) {
return flow(s, t, INF);
}
public long flow(int s, int t, long flowLimit) {
rangeCheck(s, 0, n);
rangeCheck(t, 0, n);
long flow = 0L;
int[] level = new int[n];
int[] que = new int[n];
int[] iter = new int[n];
while (flow < flowLimit) {
bfs(s, t, level, que);
if (level[t] < 0) break;
java.util.Arrays.fill(iter, 0);
while (flow < flowLimit) {
long d = dfs(t, s, flowLimit - flow, iter, level);
if (d == 0) break;
flow += d;
}
}
return flow;
}
private void bfs(int s, int t, int[] level, int[] que) {
java.util.Arrays.fill(level, -1);
int hd = 0, tl = 0;
que[tl++] = s;
level[s] = 0;
while (hd < tl) {
int u = que[hd++];
for (InternalCapEdge e : g[u]) {
int v = e.to;
if (e.cap == 0 || level[v] >= 0) continue;
level[v] = level[u] + 1;
if (v == t) return;
que[tl++] = v;
}
}
}
private long dfs(int cur, int s, long flowLimit, int[] iter, int[] level) {
if (cur == s) return flowLimit;
long res = 0;
int curLevel = level[cur];
for (int itMax = g[cur].size(); iter[cur] < itMax; iter[cur]++) {
int i = iter[cur];
InternalCapEdge e = g[cur].get(i);
InternalCapEdge re = getInternalEdgeReversed(e);
if (curLevel <= level[e.to] || re.cap == 0) continue;
long d = dfs(e.to, s, Math.min(flowLimit - res, re.cap), iter, level);
if (d <= 0) continue;
e.cap += d;
re.cap -= d;
res += d;
if (res == flowLimit) break;
}
return res;
}
public boolean[] minCut(int s) {
rangeCheck(s, 0, n);
boolean[] visited = new boolean[n];
int[] stack = new int[n];
int ptr = 0;
stack[ptr++] = s;
visited[s] = true;
while (ptr > 0) {
int u = stack[--ptr];
for (InternalCapEdge e : g[u]) {
int v = e.to;
if (e.cap > 0 && !visited[v]) {
visited[v] = true;
stack[ptr++] = v;
}
}
}
return visited;
}
private void rangeCheck(int i, int minInclusive, int maxExclusive) {
if (i < 0 || i >= maxExclusive) {
throw new IndexOutOfBoundsException(
String.format("Index %d out of bounds for length %d", i, maxExclusive));
}
}
private void nonNegativeCheck(long cap, String attribute) {
if (cap < 0) { throw new IllegalArgumentException(String.format("%s %d is negative.", attribute, cap)); }
}
}
/**
* @verified
* - https://atcoder.jp/contests/practice2/tasks/practice2_e
* - http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_6_B
*/
public static final class MinCostFlow {
private static final class InternalWeightedCapEdge {
final int to, rev;
long cap;
final long cost;
InternalWeightedCapEdge(int to, int rev, long cap, long cost) {
this.to = to;
this.rev = rev;
this.cap = cap;
this.cost = cost;
}
}
public static final class WeightedCapEdge {
public final int from, to;
public final long cap, flow, cost;
WeightedCapEdge(int from, int to, long cap, long flow, long cost) {
this.from = from;
this.to = to;
this.cap = cap;
this.flow = flow;
this.cost = cost;
}
@Override
public boolean equals(Object o) {
if (o instanceof WeightedCapEdge) {
WeightedCapEdge e = (WeightedCapEdge) o;
return from == e.from && to == e.to && cap == e.cap && flow == e.flow && cost == e.cost;
}
return false;
}
}
private static final class IntPair {
final int first, second;
IntPair(int first, int second) {
this.first = first;
this.second = second;
}
}
public static final class FlowAndCost {
public final long flow, cost;
FlowAndCost(long flow, long cost) {
this.flow = flow;
this.cost = cost;
}
@Override
public boolean equals(Object o) {
if (o instanceof FlowAndCost) {
FlowAndCost c = (FlowAndCost) o;
return flow == c.flow && cost == c.cost;
}
return false;
}
}
static final long INF = Long.MAX_VALUE;
private final int n;
private final java.util.ArrayList<IntPair> pos;
private final java.util.ArrayList<InternalWeightedCapEdge>[] g;
@SuppressWarnings("unchecked")
public MinCostFlow(int n) {
this.n = n;
pos = new java.util.ArrayList<>();
g = new java.util.ArrayList[n];
for (int i = 0; i < n; i++) {
g[i] = new java.util.ArrayList<>();
}
}
public int addEdge(int from, int to, long cap, long cost) {
rangeCheck(from, 0, n);
rangeCheck(to, 0, n);
nonNegativeCheck(cap, "Capacity");
nonNegativeCheck(cost, "Cost");
int m = pos.size();
pos.add(new IntPair(from, g[from].size()));
int fromId = g[from].size();
int toId = g[to].size();
if (from == to) toId++;
g[from].add(new InternalWeightedCapEdge(to, toId, cap, cost));
g[to].add(new InternalWeightedCapEdge(from, fromId, 0L, -cost));
return m;
}
private InternalWeightedCapEdge getInternalEdge(int i) {
return g[pos.get(i).first].get(pos.get(i).second);
}
private InternalWeightedCapEdge getInternalEdgeReversed(InternalWeightedCapEdge e) {
return g[e.to].get(e.rev);
}
public WeightedCapEdge getEdge(int i) {
int m = pos.size();
rangeCheck(i, 0, m);
InternalWeightedCapEdge e = getInternalEdge(i);
InternalWeightedCapEdge re = getInternalEdgeReversed(e);
return new WeightedCapEdge(re.to, e.to, e.cap + re.cap, re.cap, e.cost);
}
public WeightedCapEdge[] getEdges() {
WeightedCapEdge[] res = new WeightedCapEdge[pos.size()];
java.util.Arrays.setAll(res, this::getEdge);
return res;
}
public FlowAndCost minCostMaxFlow(int s, int t) {
return minCostFlow(s, t, INF);
}
public FlowAndCost minCostFlow(int s, int t, long flowLimit) {
return minCostSlope(s, t, flowLimit).getLast();
}
public java.util.ArrayList<Long> minCostList(int s, int t) {
return minCostList(s, t, INF);
}
public java.util.ArrayList<Long> minCostList(int s, int t, long flowLimit) {
java.util.LinkedList<FlowAndCost> list = minCostSlope(s, t, flowLimit);
FlowAndCost last = list.pollFirst();
java.util.ArrayList<Long> ret = new java.util.ArrayList<>();
ret.add(0L);
while(!list.isEmpty()) {
FlowAndCost now = list.pollFirst();
for (long i = last.flow + 1;i <= now.flow;++ i) {
ret.add(last.cost + (i - last.flow) * (now.cost - last.cost) / (now.flow - last.flow));
}
last = now;
}
return ret;
}
java.util.LinkedList<FlowAndCost> minCostSlope(int s, int t) {
return minCostSlope(s, t, INF);
}
public java.util.LinkedList<FlowAndCost> minCostSlope(int s, int t, long flowLimit) {
rangeCheck(s, 0, n);
rangeCheck(t, 0, n);
if (s == t) { throw new IllegalArgumentException(String.format("%d and %d is the same vertex.", s, t)); }
long[] dual = new long[n];
long[] dist = new long[n];
int[] pv = new int[n];
int[] pe = new int[n];
boolean[] vis = new boolean[n];
long flow = 0;
long cost = 0, prev_cost = -1;
java.util.LinkedList<FlowAndCost> result = new java.util.LinkedList<>();
result.addLast(new FlowAndCost(flow, cost));
while (flow < flowLimit) {
if (!dualRef(s, t, dual, dist, pv, pe, vis)) break;
long c = flowLimit - flow;
for (int v = t; v != s; v = pv[v]) {
c = Math.min(c, g[pv[v]].get(pe[v]).cap);
}
for (int v = t; v != s; v = pv[v]) {
InternalWeightedCapEdge e = g[pv[v]].get(pe[v]);
e.cap -= c;
g[v].get(e.rev).cap += c;
}
long d = -dual[s];
flow += c;
cost += c * d;
if (prev_cost == d) {
result.removeLast();
}
result.addLast(new FlowAndCost(flow, cost));
prev_cost = cost;
}
return result;
}
private boolean dualRef(int s, int t, long[] dual, long[] dist, int[] pv, int[] pe, boolean[] vis) {
java.util.Arrays.fill(dist, INF);
java.util.Arrays.fill(pv, -1);
java.util.Arrays.fill(pe, -1);
java.util.Arrays.fill(vis, false);
class State implements Comparable<State> {
final long key;
final int to;
State(long key, int to) {
this.key = key;
this.to = to;
}
@Override
public int compareTo(State q) {
return key > q.key ? 1 : -1;
}
};
java.util.PriorityQueue<State> pq = new java.util.PriorityQueue<>();
dist[s] = 0;
pq.add(new State(0L, s));
while (pq.size() > 0) {
int v = pq.poll().to;
if (vis[v]) continue;
vis[v] = true;
if (v == t) break;
for (int i = 0, deg = g[v].size(); i < deg; i++) {
InternalWeightedCapEdge e = g[v].get(i);
if (vis[e.to] || e.cap == 0) continue;
long cost = e.cost - dual[e.to] + dual[v];
if (dist[e.to] - dist[v] > cost) {
dist[e.to] = dist[v] + cost;
pv[e.to] = v;
pe[e.to] = i;
pq.add(new State(dist[e.to], e.to));
}
}
}
if (!vis[t]) { return false; }
for (int v = 0; v < n; v++) {
if (!vis[v]) continue;
dual[v] -= dist[t] - dist[v];
}
return true;
}
private void rangeCheck(int i, int minInlusive, int maxExclusive) {
if (i < 0 || i >= maxExclusive) {
throw new IndexOutOfBoundsException(
String.format("Index %d out of bounds for length %d", i, maxExclusive));
}
}
private void nonNegativeCheck(long cap, java.lang.String attribute) {
if (cap < 0) { throw new IllegalArgumentException(String.format("%s %d is negative.", attribute, cap)); }
}
}
/**
* @verified
* <ul>
* <li>https://atcoder.jp/contests/arc050/tasks/arc050_c
* <li>https://atcoder.jp/contests/abc129/tasks/abc129_f
* </ul>
*/
public static final class ModIntFactory {
private final ModArithmetic ma;
private final int mod;
public ModIntFactory(final int mod) {
ma = ModArithmetic.of(mod);
this.mod = mod;
}
public ModInt create(long value) {
if ((value %= mod) < 0) value += mod;
if (ma instanceof ModArithmetic.ModArithmeticMontgomery) {
return new ModInt(((ModArithmetic.ModArithmeticMontgomery) ma).generate(value));
}
return new ModInt((int) value);
}
class ModInt {
private int value;
private ModInt(final int value) {
this.value = value;
}
public int mod() {
return mod;
}
public int value() {
if (ma instanceof ModArithmetic.ModArithmeticMontgomery) {
return ((ModArithmetic.ModArithmeticMontgomery) ma).reduce(value);
}
return value;
}
public ModInt add(final ModInt mi) {
return new ModInt(ma.add(value, mi.value));
}
public ModInt add(final ModInt mi1, final ModInt mi2) {
return new ModInt(ma.add(value, mi1.value)).addAsg(mi2);
}
public ModInt add(final ModInt mi1, final ModInt mi2, final ModInt mi3) {
return new ModInt(ma.add(value, mi1.value)).addAsg(mi2).addAsg(mi3);
}
public ModInt add(final ModInt mi1, final ModInt mi2, final ModInt mi3, final ModInt mi4) {
return new ModInt(ma.add(value, mi1.value)).addAsg(mi2).addAsg(mi3).addAsg(mi4);
}
public ModInt add(final ModInt mi1, final ModInt... mis) {
final ModInt mi = add(mi1);
for (final ModInt m : mis) mi.addAsg(m);
return mi;
}
public ModInt add(final long mi) {
return new ModInt(ma.add(value, ma.remainder(mi)));
}
public ModInt sub(final ModInt mi) {
return new ModInt(ma.sub(value, mi.value));
}
public ModInt sub(final long mi) {
return new ModInt(ma.sub(value, ma.remainder(mi)));
}
public ModInt mul(final ModInt mi) {
return new ModInt(ma.mul(value, mi.value));
}
public ModInt mul(final ModInt mi1, final ModInt mi2) {
return new ModInt(ma.mul(value, mi1.value)).mulAsg(mi2);
}
public ModInt mul(final ModInt mi1, final ModInt mi2, final ModInt mi3) {
return new ModInt(ma.mul(value, mi1.value)).mulAsg(mi2).mulAsg(mi3);
}
public ModInt mul(final ModInt mi1, final ModInt mi2, final ModInt mi3, final ModInt mi4) {
return new ModInt(ma.mul(value, mi1.value)).mulAsg(mi2).mulAsg(mi3).mulAsg(mi4);
}
public ModInt mul(final ModInt mi1, final ModInt... mis) {
final ModInt mi = mul(mi1);
for (final ModInt m : mis) mi.mulAsg(m);
return mi;
}
public ModInt mul(final long mi) {
return new ModInt(ma.mul(value, ma.remainder(mi)));
}
public ModInt div(final ModInt mi) {
return new ModInt(ma.div(value, mi.value));
}
public ModInt div(final long mi) {
return new ModInt(ma.div(value, ma.remainder(mi)));
}
public ModInt inv() {
return new ModInt(ma.inv(value));
}
public ModInt pow(final long b) {
return new ModInt(ma.pow(value, b));
}
public ModInt addAsg(final ModInt mi) {
value = ma.add(value, mi.value);
return this;
}
public ModInt addAsg(final ModInt mi1, final ModInt mi2) {
return addAsg(mi1).addAsg(mi2);
}
public ModInt addAsg(final ModInt mi1, final ModInt mi2, final ModInt mi3) {
return addAsg(mi1).addAsg(mi2).addAsg(mi3);
}
public ModInt addAsg(final ModInt mi1, final ModInt mi2, final ModInt mi3, final ModInt mi4) {
return addAsg(mi1).addAsg(mi2).addAsg(mi3).addAsg(mi4);
}
public ModInt addAsg(final ModInt... mis) {
for (final ModInt m : mis) addAsg(m);
return this;
}
public ModInt addAsg(final long mi) {
value = ma.add(value, ma.remainder(mi));
return this;
}
public ModInt subAsg(final ModInt mi) {
value = ma.sub(value, mi.value);
return this;
}
public ModInt subAsg(final long mi) {
value = ma.sub(value, ma.remainder(mi));
return this;
}
public ModInt mulAsg(final ModInt mi) {
value = ma.mul(value, mi.value);
return this;
}
public ModInt mulAsg(final ModInt mi1, final ModInt mi2) {
return mulAsg(mi1).mulAsg(mi2);
}
public ModInt mulAsg(final ModInt mi1, final ModInt mi2, final ModInt mi3) {
return mulAsg(mi1).mulAsg(mi2).mulAsg(mi3);
}
public ModInt mulAsg(final ModInt mi1, final ModInt mi2, final ModInt mi3, final ModInt mi4) {
return mulAsg(mi1).mulAsg(mi2).mulAsg(mi3).mulAsg(mi4);
}
public ModInt mulAsg(final ModInt... mis) {
for (final ModInt m : mis) mulAsg(m);
return this;
}
public ModInt mulAsg(final long mi) {
value = ma.mul(value, ma.remainder(mi));
return this;
}
public ModInt divAsg(final ModInt mi) {
value = ma.div(value, mi.value);
return this;
}
public ModInt divAsg(final long mi) {
value = ma.div(value, ma.remainder(mi));
return this;
}
@Override
public String toString() {
return String.valueOf(value());
}
@Override
public boolean equals(final Object o) {
if (o instanceof ModInt) {
final ModInt mi = (ModInt) o;
return mod() == mi.mod() && value() == mi.value();
}
return false;
}
@Override
public int hashCode() {
return (1 * 37 + mod()) * 37 + value();
}
}
private interface ModArithmetic {
public int mod();
public int remainder(long value);
public int add(int a, int b);
public int sub(int a, int b);
public int mul(int a, int b);
public default int div(final int a, final int b) {
return mul(a, inv(b));
}
public int inv(int a);
public int pow(int a, long b);
public static ModArithmetic of(final int mod) {
if (mod <= 0) {
throw new IllegalArgumentException();
} else if (mod == 1) {
return new ModArithmetic1();
} else if (mod == 2) {
return new ModArithmetic2();
} else if (mod == 998244353) {
return new ModArithmetic998244353();
} else if (mod == 1000000007) {
return new ModArithmetic1000000007();
} else if ((mod & 1) == 1) {
return new ModArithmeticMontgomery(mod);
} else {
return new ModArithmeticBarrett(mod);
}
}
static final class ModArithmetic1 implements ModArithmetic {
@Override
public int mod() {
return 1;
}
@Override
public int remainder(final long value) {
return 0;
}
@Override
public int add(final int a, final int b) {
return 0;
}
@Override
public int sub(final int a, final int b) {
return 0;
}
@Override
public int mul(final int a, final int b) {
return 0;
}
@Override
public int inv(final int a) {
throw new ArithmeticException("divide by zero");
}
@Override
public int pow(final int a, final long b) {
return 0;
}
}
static final class ModArithmetic2 implements ModArithmetic {
@Override
public int mod() {
return 2;
}
@Override
public int remainder(final long value) {
return (int) (value & 1);
}
@Override
public int add(final int a, final int b) {
return a ^ b;
}
@Override
public int sub(final int a, final int b) {
return a ^ b;
}
@Override
public int mul(final int a, final int b) {
return a & b;
}
@Override
public int inv(final int a) {
if (a == 0) throw new ArithmeticException("divide by zero");
return a;
}
@Override
public int pow(final int a, final long b) {
if (b == 0) return 1;
return a;
}
}
static final class ModArithmetic998244353 implements ModArithmetic {
private final int mod = 998244353;
@Override
public int mod() {
return mod;
}
@Override
public int remainder(long value) {
return (int) ((value %= mod) < 0 ? value + mod : value);
}
@Override
public int add(final int a, final int b) {
final int res = a + b;
return res >= mod ? res - mod : res;
}
@Override
public int sub(final int a, final int b) {
final int res = a - b;
return res < 0 ? res + mod : res;
}
@Override
public int mul(final int a, final int b) {
return (int) ((long) a * b % mod);
}
@Override
public int inv(int a) {
int b = mod;
long u = 1, v = 0;
while (b >= 1) {
final long t = a / b;
a -= t * b;
final int tmp1 = a;
a = b;
b = tmp1;
u -= t * v;
final long tmp2 = u;
u = v;
v = tmp2;
}
u %= mod;
if (a != 1) { throw new ArithmeticException("divide by zero"); }
return (int) (u < 0 ? u + mod : u);
}
@Override
public int pow(final int a, long b) {
if (b < 0) throw new ArithmeticException("negative power");
long res = 1;
long pow2 = a;
long idx = 1;
while (b > 0) {
final long lsb = b & -b;
for (; lsb != idx; idx <<= 1) {
pow2 = pow2 * pow2 % mod;
}
res = res * pow2 % mod;
b ^= lsb;
}
return (int) res;
}
}
static final class ModArithmetic1000000007 implements ModArithmetic {
private final int mod = 1000000007;
@Override
public int mod() {
return mod;
}
@Override
public int remainder(long value) {
return (int) ((value %= mod) < 0 ? value + mod : value);
}
@Override
public int add(final int a, final int b) {
final int res = a + b;
return res >= mod ? res - mod : res;
}
@Override
public int sub(final int a, final int b) {
final int res = a - b;
return res < 0 ? res + mod : res;
}
@Override
public int mul(final int a, final int b) {
return (int) ((long) a * b % mod);
}
@Override
public int div(final int a, final int b) {
return mul(a, inv(b));
}
@Override
public int inv(int a) {
int b = mod;
long u = 1, v = 0;
while (b >= 1) {
final long t = a / b;
a -= t * b;
final int tmp1 = a;
a = b;
b = tmp1;
u -= t * v;
final long tmp2 = u;
u = v;
v = tmp2;
}
u %= mod;
if (a != 1) { throw new ArithmeticException("divide by zero"); }
return (int) (u < 0 ? u + mod : u);
}
@Override
public int pow(final int a, long b) {
if (b < 0) throw new ArithmeticException("negative power");
long res = 1;
long pow2 = a;
long idx = 1;
while (b > 0) {
final long lsb = b & -b;
for (; lsb != idx; idx <<= 1) {
pow2 = pow2 * pow2 % mod;
}
res = res * pow2 % mod;
b ^= lsb;
}
return (int) res;
}
}
static final class ModArithmeticMontgomery extends ModArithmeticDynamic {
private final long negInv;
private final long r2, r3;
private ModArithmeticMontgomery(final int mod) {
super(mod);
long inv = 0;
long s = 1, t = 0;
for (int i = 0; i < 32; i++) {
if ((t & 1) == 0) {
t += mod;
inv += s;
}
t >>= 1;
s <<= 1;
}
final long r = (1l << 32) % mod;
negInv = inv;
r2 = r * r % mod;
r3 = r2 * r % mod;
}
private int generate(final long x) {
return reduce(x * r2);
}
private int reduce(long x) {
x = x + (x * negInv & 0xffff_ffffl) * mod >>> 32;
return (int) (x < mod ? x : x - mod);
}
@Override
public int remainder(long value) {
return generate((value %= mod) < 0 ? value + mod : value);
}
@Override
public int mul(final int a, final int b) {
return reduce((long) a * b);
}
@Override
public int inv(int a) {
a = super.inv(a);
return reduce(a * r3);
}
@Override
public int pow(final int a, final long b) {
return generate(super.pow(a, b));
}
}
static final class ModArithmeticBarrett extends ModArithmeticDynamic {
private static final long mask = 0xffff_ffffl;
private final long mh;
private final long ml;
private ModArithmeticBarrett(final int mod) {
super(mod);
/**
* m = floor(2^64/mod) 2^64 = p*mod + q, 2^32 = a*mod + b => (a*mod + b)^2 =
* p*mod + q => p = mod*a^2 + 2ab + floor(b^2/mod)
*/
final long a = (1l << 32) / mod;
final long b = (1l << 32) % mod;
final long m = a * a * mod + 2 * a * b + b * b / mod;
mh = m >>> 32;
ml = m & mask;
}
private int reduce(long x) {
long z = (x & mask) * ml;
z = (x & mask) * mh + (x >>> 32) * ml + (z >>> 32);
z = (x >>> 32) * mh + (z >>> 32);
x -= z * mod;
return (int) (x < mod ? x : x - mod);
}
@Override
public int remainder(long value) {
return (int) ((value %= mod) < 0 ? value + mod : value);
}
@Override
public int mul(final int a, final int b) {
return reduce((long) a * b);
}
}
static class ModArithmeticDynamic implements ModArithmetic {
final int mod;
public ModArithmeticDynamic(final int mod) {
this.mod = mod;
}
@Override
public int mod() {
return mod;
}
@Override
public int remainder(long value) {
return (int) ((value %= mod) < 0 ? value + mod : value);
}
@Override
public int add(final int a, final int b) {
final int sum = a + b;
return sum >= mod ? sum - mod : sum;
}
@Override
public int sub(final int a, final int b) {
final int sum = a - b;
return sum < 0 ? sum + mod : sum;
}
@Override
public int mul(final int a, final int b) {
return (int) ((long) a * b % mod);
}
@Override
public int inv(int a) {
int b = mod;
long u = 1, v = 0;
while (b >= 1) {
final long t = a / b;
a -= t * b;
final int tmp1 = a;
a = b;
b = tmp1;
u -= t * v;
final long tmp2 = u;
u = v;
v = tmp2;
}
u %= mod;
if (a != 1) { throw new ArithmeticException("divide by zero"); }
return (int) (u < 0 ? u + mod : u);
}
@Override
public int pow(final int a, long b) {
if (b < 0) throw new ArithmeticException("negative power");
int res = 1;
int pow2 = a;
long idx = 1;
while (b > 0) {
final long lsb = b & -b;
for (; lsb != idx; idx <<= 1) {
pow2 = mul(pow2, pow2);
}
res = mul(res, pow2);
b ^= lsb;
}
return res;
}
}
}
}
/**
* Convolution.
*
* @verified https://atcoder.jp/contests/practice2/tasks/practice2_f
* @verified https://judge.yosupo.jp/problem/convolution_mod_1000000007
*/
public static final class Convolution {
/**
* writer: amotama 勝手に借りてます、問題あったらごめんね
*/
private static void fft(double[] a, double[] b, boolean invert) {
int count = a.length;
for (int i = 1, j = 0; i < count; i++) {
int bit = count >> 1;
for (; j >= bit; bit >>= 1) {
j -= bit;
}
j += bit;
if (i < j) {
double temp = a[i];
a[i] = a[j];
a[j] = temp;
temp = b[i];
b[i] = b[j];
b[j] = temp;
}
}
for (int len = 2; len <= count; len <<= 1) {
int halfLen = len >> 1;
double angle = 2 * Math.PI / len;
if (invert) {
angle = -angle;
}
double wLenA = Math.cos(angle);
double wLenB = Math.sin(angle);
for (int i = 0; i < count; i += len) {
double wA = 1;
double wB = 0;
for (int j = 0; j < halfLen; j++) {
double uA = a[i + j];
double uB = b[i + j];
double vA = a[i + j + halfLen] * wA - b[i + j + halfLen] * wB;
double vB = a[i + j + halfLen] * wB + b[i + j + halfLen] * wA;
a[i + j] = uA + vA;
b[i + j] = uB + vB;
a[i + j + halfLen] = uA - vA;
b[i + j + halfLen] = uB - vB;
double nextWA = wA * wLenA - wB * wLenB;
wB = wA * wLenB + wB * wLenA;
wA = nextWA;
}
}
}
if (invert) {
for (int i = 0; i < count; i++) {
a[i] /= count;
b[i] /= count;
}
}
}
/**
* writer: amotama 勝手に借りてます、問題あったらごめんね
*/
public static long[] convolution(long[] a, long[] b) {
int resultSize = Integer.highestOneBit(Math.max(a.length, b.length) - 1) << 2;
resultSize = Math.max(resultSize, 1);
double[] aReal = new double[resultSize];
double[] aImaginary = new double[resultSize];
double[] bReal = new double[resultSize];
double[] bImaginary = new double[resultSize];
for (int i = 0; i < a.length; i++) aReal[i] = a[i];
for (int i = 0; i < b.length; i++) bReal[i] = b[i];
fft(aReal, aImaginary, false);
if (a == b) {
System.arraycopy(aReal, 0, bReal, 0, aReal.length);
System.arraycopy(aImaginary, 0, bImaginary, 0, aImaginary.length);
} else {
fft(bReal, bImaginary, false);
}
for (int i = 0; i < resultSize; i++) {
double real = aReal[i] * bReal[i] - aImaginary[i] * bImaginary[i];
aImaginary[i] = aImaginary[i] * bReal[i] + bImaginary[i] * aReal[i];
aReal[i] = real;
}
fft(aReal, aImaginary, true);
long[] result = new long[a.length + b.length - 1];
for (int i = 0; i < result.length; i++) result[i] = Math.round(aReal[i]);
return result;
}
/**
* writer: amotama 勝手に借りてます、問題あったらごめんね
*/
public static int[] convolution(int[] a, int[] b) {
int resultSize = Integer.highestOneBit(Math.max(a.length, b.length) - 1) << 2;
resultSize = Math.max(resultSize, 1);
double[] aReal = new double[resultSize];
double[] aImaginary = new double[resultSize];
double[] bReal = new double[resultSize];
double[] bImaginary = new double[resultSize];
for (int i = 0; i < a.length; i++) aReal[i] = a[i];
for (int i = 0; i < b.length; i++) bReal[i] = b[i];
fft(aReal, aImaginary, false);
if (a == b) {
System.arraycopy(aReal, 0, bReal, 0, aReal.length);
System.arraycopy(aImaginary, 0, bImaginary, 0, aImaginary.length);
} else {
fft(bReal, bImaginary, false);
}
for (int i = 0; i < resultSize; i++) {
double real = aReal[i] * bReal[i] - aImaginary[i] * bImaginary[i];
aImaginary[i] = aImaginary[i] * bReal[i] + bImaginary[i] * aReal[i];
aReal[i] = real;
}
fft(aReal, aImaginary, true);
int[] result = new int[a.length + b.length - 1];
for (int i = 0; i < result.length; i++) result[i] = (int) Math.round(aReal[i]);
return result;
}
public static double[] convolution(double[] a, double[] b) {
int resultSize = Integer.highestOneBit(Math.max(a.length, b.length) - 1) << 2;
resultSize = Math.max(resultSize, 1);
double[] aReal = Arrays.copyOf(a, resultSize);
double[] aImaginary = new double[resultSize];
double[] bReal = Arrays.copyOf(b, resultSize);
double[] bImaginary = new double[resultSize];
fft(aReal, aImaginary, false);
if (a == b) {
System.arraycopy(aReal, 0, bReal, 0, aReal.length);
System.arraycopy(aImaginary, 0, bImaginary, 0, aImaginary.length);
} else {
fft(bReal, bImaginary, false);
}
for (int i = 0; i < resultSize; i++) {
double real = aReal[i] * bReal[i] - aImaginary[i] * bImaginary[i];
aImaginary[i] = aImaginary[i] * bReal[i] + bImaginary[i] * aReal[i];
aReal[i] = real;
}
fft(aReal, aImaginary, true);
return Arrays.copyOf(aReal, a.length + b.length - 1);
}
/**
* Find a primitive root.
*
* @param m A prime number.
* @return Primitive root.
*/
private static int primitiveRoot(final int m) {
if (m == 2) return 1;
if (m == 167772161) return 3;
if (m == 469762049) return 3;
if (m == 754974721) return 11;
if (m == 998244353) return 3;
final int[] divs = new int[20];
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0) x /= 2;
for (int i = 3; (long) i * i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
boolean ok = true;
for (int i = 0; i < cnt; i++) {
if (MathLib.pow(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok) return g;
}
}
/**
* Ceil of power 2.
*
* @param n Value.
* @return Ceil of power 2.
*/
private static int ceilPow2(final int n) {
int x = 0;
while (1L << x < n) x++;
return x;
}
/**
* Garner's algorithm.
*
* @param c Mod convolution results.
* @param mods Mods.
* @return Result.
*/
private static long garner(final long[] c, final int[] mods) {
final int n = c.length + 1;
final long[] cnst = new long[n];
final long[] coef = new long[n];
java.util.Arrays.fill(coef, 1);
for (int i = 0; i < n - 1; i++) {
final int m1 = mods[i];
long v = (c[i] - cnst[i] + m1) % m1;
v = v * MathLib.pow(coef[i], m1 - 2, m1) % m1;
for (int j = i + 1; j < n; j++) {
final long m2 = mods[j];
cnst[j] = (cnst[j] + coef[j] * v) % m2;
coef[j] = coef[j] * m1 % m2;
}
}
return cnst[n - 1];
}
/**
* Garner's algorithm.
*
* @param c Mod convolution results.
* @param mods Mods.
* @return Result.
*/
private static int garner(int c0, int c1, int c2, final MathLib.Barrett[] mods) {
final long[] cnst = new long[4];
final long[] coef = new long[4];
java.util.Arrays.fill(coef, 1);
MathLib.Barrett m1 = mods[0];
long v = m1.reduce(c0 - cnst[0] + m1.mod);
v = m1.reduce(v * MathLib.pow(coef[0], m1.mod - 2, m1));
{
MathLib.Barrett m2 = mods[1];
cnst[1] = m2.reduce(cnst[1] + coef[1] * v);
coef[1] = m2.reduce(coef[1] * m1.mod);
m2 = mods[2];
cnst[2] = m2.reduce(cnst[2] + coef[2] * v);
coef[2] = m2.reduce(coef[2] * m1.mod);
m2 = mods[3];
cnst[3] = m2.reduce(cnst[3] + coef[3] * v);
coef[3] = m2.reduce(coef[3] * m1.mod);
}
m1 = mods[1];
v = m1.reduce(c1 - cnst[1] + m1.mod);
v = m1.reduce(v * MathLib.pow(coef[1], m1.mod - 2, m1));
{
MathLib.Barrett m2 = mods[2];
cnst[2] = m2.reduce(cnst[2] + coef[2] * v);
coef[2] = m2.reduce(coef[2] * m1.mod);
m2 = mods[3];
cnst[3] = m2.reduce(cnst[3] + coef[3] * v);
coef[3] = m2.reduce(coef[3] * m1.mod);
}
m1 = mods[2];
v = m1.reduce(c2 - cnst[2] + m1.mod);
v = m1.reduce(v * MathLib.pow(coef[2], m1.mod - 2, m1));
{
MathLib.Barrett m2 = mods[3];
cnst[3] = m2.reduce(cnst[3] + coef[3] * v);
coef[3] = m2.reduce(coef[3] * m1.mod);
}
return (int) cnst[3];
}
/**
* Garner's algorithm.
*
* @param c Mod convolution results.
* @param mods Mods.
* @return Result.
*/
private static int garner1_000_000_007(int c0, int c1, int c2) {
final long[] cnst = new long[4];
final long[] coef = new long[4];
java.util.Arrays.fill(coef, 1);
long v = (c0 - cnst[0] + 998_244_353) % 998_244_353;
v = v * MathLib.pow998_244_353(coef[0], 998_244_353 - 2) % 998_244_353;
{
cnst[1] = (cnst[1] + coef[1] * v) % 167_772_161;
coef[1] = coef[1] * 998_244_353 % 167_772_161;
cnst[2] = (cnst[2] + coef[2] * v) % 469_762_049;
coef[2] = coef[2] * 998_244_353 % 469_762_049;
cnst[3] = (cnst[3] + coef[3] * v) % 1_000_000_007;
coef[3] = coef[3] * 998_244_353 % 1_000_000_007;
}
v = (c1 - cnst[1] + 167_772_161) % 167_772_161;
v = v * MathLib.pow167_772_161(coef[1], 167_772_161 - 2) % 167_772_161;
{
cnst[2] = (cnst[2] + coef[2] * v) % 469_762_049;
coef[2] = coef[2] * 167_772_161 % 469_762_049;
cnst[3] = (cnst[3] + coef[3] * v) % 1_000_000_007;
coef[3] = coef[3] * 167_772_161 % 1_000_000_007;
}
v = (c2 - cnst[2] + 469_762_049) % 469_762_049;
v = v * MathLib.pow469_762_049(coef[2], 469_762_049 - 2) % 469_762_049;
{
cnst[3] = (cnst[3] + coef[3] * v) % 1_000_000_007;
coef[3] = coef[3] * 469_762_049 % 1_000_000_007;
}
return (int) cnst[3];
}
/**
* Pre-calculation for NTT.
*
* @param mod NTT Prime.
* @param g Primitive root of mod.
* @return Pre-calculation table.
*/
private static long[] sumE(final int mod, final int g) {
final long[] sum_e = new long[30];
final long[] es = new long[30];
final long[] ies = new long[30];
final int cnt2 = Integer.numberOfTrailingZeros(mod - 1);
long e = MathLib.pow(g, mod - 1 >> cnt2, mod);
long ie = MathLib.pow(e, mod - 2, mod);
for (int i = cnt2; i >= 2; i--) {
es[i - 2] = e;
ies[i - 2] = ie;
e = e * e % mod;
ie = ie * ie % mod;
}
long now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_e[i] = es[i] * now % mod;
now = now * ies[i] % mod;
}
return sum_e;
}
/**
* Pre-calculation for inverse NTT.
*
* @param mod Mod.
* @param g Primitive root of mod.
* @return Pre-calculation table.
*/
private static long[] sumIE(final int mod, final int g) {
final long[] sum_ie = new long[30];
final long[] es = new long[30];
final long[] ies = new long[30];
final int cnt2 = Integer.numberOfTrailingZeros(mod - 1);
long e = MathLib.pow(g, mod - 1 >> cnt2, mod);
long ie = MathLib.pow(e, mod - 2, mod);
for (int i = cnt2; i >= 2; i--) {
es[i - 2] = e;
ies[i - 2] = ie;
e = e * e % mod;
ie = ie * ie % mod;
}
long now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_ie[i] = ies[i] * now % mod;
now = now * es[i] % mod;
}
return sum_ie;
}
/**
* Inverse NTT.
*
* @param a Target array.
* @param sumIE Pre-calculation table.
* @param mod NTT Prime.
*/
private static void butterflyInv(final long[] a, final long[] sumIE, final int mod) {
final int n = a.length;
final int h = ceilPow2(n);
for (int ph = h; ph >= 1; ph--) {
final int w = 1 << ph - 1, p = 1 << h - ph;
long inow = 1;
for (int s = 0; s < w; s++) {
final int offset = s << h - ph + 1;
for (int i = 0; i < p; i++) {
final long l = a[i + offset];
final long r = a[i + offset + p];
a[i + offset] = (l + r) % mod;
a[i + offset + p] = (mod + l - r) * inow % mod;
}
final int x = Integer.numberOfTrailingZeros(~s);
inow = inow * sumIE[x] % mod;
}
}
}
/**
* Inverse NTT.
*
* @param a Target array.
* @param sumE Pre-calculation table.
* @param mod NTT Prime.
*/
private static void butterfly(final long[] a, final long[] sumE, final int mod) {
final int n = a.length;
final int h = ceilPow2(n);
for (int ph = 1; ph <= h; ph++) {
final int w = 1 << ph - 1, p = 1 << h - ph;
long now = 1;
for (int s = 0; s < w; s++) {
final int offset = s << h - ph + 1;
for (int i = 0; i < p; i++) {
final long l = a[i + offset];
final long r = a[i + offset + p] * now % mod;
a[i + offset] = (l + r) % mod;
a[i + offset + p] = (l - r + mod) % mod;
}
final int x = Integer.numberOfTrailingZeros(~s);
now = now * sumE[x] % mod;
}
}
}
/**
* Inverse NTT used mod 998_244_353.
*
* @param a Target array.
* @param sumIE Pre-calculation table.
*/
private static void butterflyInv998_244_353(final int[] a, final int[] sumIE) {
final int n = a.length;
final int h = ceilPow2(n);
for (int ph = h; ph >= 1; ph--) {
final int w = 1 << ph - 1, p = 1 << h - ph;
long inow = 1;
for (int s = 0; s < w; s++) {
final int offset = s << h - ph + 1;
for (int i = 0; i < p; i++) {
final long l = a[i + offset];
final long r = a[i + offset + p];
a[i + offset] = (int) ((l + r) % 998_244_353);
a[i + offset + p] = (int) ((998_244_353 + l - r) * inow % 998_244_353);
}
final int x = Integer.numberOfTrailingZeros(~s);
inow = inow * sumIE[x] % 998_244_353;
}
}
}
/**
* Inverse NTT used mod 167_772_161.
*
* @param a Target array.
* @param sumIE Pre-calculation table.
*/
private static void butterflyInv167_772_161(final int[] a, final int[] sumIE) {
final int n = a.length;
final int h = ceilPow2(n);
for (int ph = h; ph >= 1; ph--) {
final int w = 1 << ph - 1, p = 1 << h - ph;
long inow = 1;
for (int s = 0; s < w; s++) {
final int offset = s << h - ph + 1;
for (int i = 0; i < p; i++) {
final long l = a[i + offset];
final long r = a[i + offset + p];
a[i + offset] = (int) ((l + r) % 167_772_161);
a[i + offset + p] = (int) ((167_772_161 + l - r) * inow % 167_772_161);
}
final int x = Integer.numberOfTrailingZeros(~s);
inow = inow * sumIE[x] % 167_772_161;
}
}
}
/**
* Inverse NTT used mod 469_762_049.
*
* @param a Target array.
* @param sumIE Pre-calculation table.
*/
private static void butterflyInv469_762_049(final int[] a, final int[] sumIE) {
final int n = a.length;
final int h = ceilPow2(n);
for (int ph = h; ph >= 1; ph--) {
final int w = 1 << ph - 1, p = 1 << h - ph;
long inow = 1;
for (int s = 0; s < w; s++) {
final int offset = s << h - ph + 1;
for (int i = 0; i < p; i++) {
final long l = a[i + offset];
final long r = a[i + offset + p];
a[i + offset] = (int) ((l + r) % 469_762_049);
a[i + offset + p] = (int) ((469_762_049 + l - r) * inow % 469_762_049);
}
final int x = Integer.numberOfTrailingZeros(~s);
inow = inow * sumIE[x] % 469_762_049;
}
}
}
/**
* Inverse NTT.
*
* @param a Target array.
* @param sumIE Pre-calculation table.
* @param mod NTT Prime.
*/
private static void butterflyInv(final int[] a, final int[] sumIE, final MathLib.Barrett mod) {
final int n = a.length;
final int h = ceilPow2(n);
for (int ph = h; ph >= 1; ph--) {
final int w = 1 << ph - 1, p = 1 << h - ph;
long inow = 1;
for (int s = 0; s < w; s++) {
final int offset = s << h - ph + 1;
for (int i = 0; i < p; i++) {
final long l = a[i + offset];
final long r = a[i + offset + p];
long sum = l + r;
if (sum >= mod.mod) sum -= mod.mod;
a[i + offset] = (int) sum;
a[i + offset + p] = mod.reduce((mod.mod + l - r) * inow);
}
final int x = Integer.numberOfTrailingZeros(~s);
inow = mod.reduce(inow * sumIE[x]);
}
}
}
/**
* Inverse NTT used mod 998_244_353.
*
* @param a Target array.
* @param sumE Pre-calculation table.
* @param mod NTT Prime.
*/
private static void butterfly998_244_353(final int[] a, final int[] sumE) {
final int n = a.length;
final int h = ceilPow2(n);
final long ADD = (long) (998_244_353 - 2) * 998_244_353;
for (int ph = 1; ph <= h; ph++) {
final int w = 1 << ph - 1, p = 1 << h - ph;
long now = 1;
for (int s = 0; s < w; s++) {
final int offset = s << h - ph + 1;
for (int i = 0; i < p; i++) {
final long l = a[i + offset];
final long r = a[i + offset + p] * now;
a[i + offset] = (int) ((l + r) % 998_244_353);
a[i + offset + p] = (int) ((l - r + ADD) % 998_244_353);
}
final int x = Integer.numberOfTrailingZeros(~s);
now = now * sumE[x] % 998_244_353;
}
}
}
/**
* Inverse NTT used mod 167_772_161.
*
* @param a Target array.
* @param sumE Pre-calculation table.
* @param mod NTT Prime.
*/
private static void butterfly167_772_161(final int[] a, final int[] sumE) {
final int n = a.length;
final int h = ceilPow2(n);
final long ADD = (long) (167_772_161 - 2) * 167_772_161;
for (int ph = 1; ph <= h; ph++) {
final int w = 1 << ph - 1, p = 1 << h - ph;
long now = 1;
for (int s = 0; s < w; s++) {
final int offset = s << h - ph + 1;
for (int i = 0; i < p; i++) {
final long l = a[i + offset];
final long r = a[i + offset + p] * now;
a[i + offset] = (int) ((l + r) % 167_772_161);
a[i + offset + p] = (int) ((l - r + ADD) % 167_772_161);
}
final int x = Integer.numberOfTrailingZeros(~s);
now = now * sumE[x] % 167_772_161;
}
}
}
/**
* Inverse NTT used mod 469_762_049.
*
* @param a Target array.
* @param sumE Pre-calculation table.
* @param mod NTT Prime.
*/
private static void butterfly469_762_049(final int[] a, final int[] sumE) {
final int n = a.length;
final int h = ceilPow2(n);
final long ADD = (long) (469_762_049 - 2) * 469_762_049;
for (int ph = 1; ph <= h; ph++) {
final int w = 1 << ph - 1, p = 1 << h - ph;
long now = 1;
for (int s = 0; s < w; s++) {
final int offset = s << h - ph + 1;
for (int i = 0; i < p; i++) {
final long l = a[i + offset];
final long r = a[i + offset + p] * now;
a[i + offset] = (int) ((l + r) % 469_762_049);
a[i + offset + p] = (int) ((l - r + ADD) % 469_762_049);
}
final int x = Integer.numberOfTrailingZeros(~s);
now = now * sumE[x] % 469_762_049;
}
}
}
/**
* Inverse NTT.
*
* @param a Target array.
* @param sumE Pre-calculation table.
* @param mod NTT Prime.
*/
private static void butterfly(final int[] a, final int[] sumE, final MathLib.Barrett mod) {
final int n = a.length;
final int h = ceilPow2(n);
final long ADD = (long) (mod.mod - 2) * mod.mod;
for (int ph = 1; ph <= h; ph++) {
final int w = 1 << ph - 1, p = 1 << h - ph;
long now = 1;
for (int s = 0; s < w; s++) {
final int offset = s << h - ph + 1;
for (int i = 0; i < p; i++) {
final long l = a[i + offset];
final long r = a[i + offset + p] * now;
a[i + offset] = mod.reduce(l + r);
a[i + offset + p] = mod.reduce(l - r + ADD);
}
final int x = Integer.numberOfTrailingZeros(~s);
now = mod.reduce(now * sumE[x]);
}
}
}
/**
* Convolution used mod 998_244_353.
*
* @param a Target array 1.
* @param b Target array 2.
* @return Answer.
*/
private static int[] convolution998_244_353(int[] a, int[] b) {
final int n = a.length;
final int m = b.length;
if (n == 0 || m == 0) return new int[0];
final int z = 1 << ceilPow2(n + m - 1);
{
final int[] na = new int[z];
final int[] nb = new int[z];
System.arraycopy(a, 0, na, 0, n);
System.arraycopy(b, 0, nb, 0, m);
a = na;
b = nb;
}
final int g = primitiveRoot(998_244_353);
final int[] sume;
{
long[] s = sumE(998_244_353, g);
sume = new int[s.length];
for (int i = 0; i < s.length; ++i) sume[i] = (int) s[i];
}
final int[] sumie;
{
long[] s = sumIE(998_244_353, g);
sumie = new int[s.length];
for (int i = 0; i < s.length; ++i) sumie[i] = (int) s[i];
}
butterfly998_244_353(a, sume);
butterfly998_244_353(b, sume);
for (int i = 0; i < z; i++) a[i] = (int) ((long) a[i] * b[i] % 998_244_353);
butterflyInv998_244_353(a, sumie);
a = java.util.Arrays.copyOf(a, n + m - 1);
final long iz = MathLib.pow998_244_353(z, 998_244_353 - 2);
for (int i = 0; i < n + m - 1; i++) a[i] = (int) (a[i] * iz % 998_244_353);
return a;
}
/**
* Convolution used mod 167_772_161.
*
* @param a Target array 1.
* @param b Target array 2.
* @return Answer.
*/
private static int[] convolution167_772_161(int[] a, int[] b) {
final int n = a.length;
final int m = b.length;
if (n == 0 || m == 0) return new int[0];
final int z = 1 << ceilPow2(n + m - 1);
{
final int[] na = new int[z];
final int[] nb = new int[z];
System.arraycopy(a, 0, na, 0, n);
System.arraycopy(b, 0, nb, 0, m);
a = na;
b = nb;
}
final int g = primitiveRoot(167_772_161);
final int[] sume;
{
long[] s = sumE(167_772_161, g);
sume = new int[s.length];
for (int i = 0; i < s.length; ++i) sume[i] = (int) s[i];
}
final int[] sumie;
{
long[] s = sumIE(167_772_161, g);
sumie = new int[s.length];
for (int i = 0; i < s.length; ++i) sumie[i] = (int) s[i];
}
butterfly167_772_161(a, sume);
butterfly167_772_161(b, sume);
for (int i = 0; i < z; i++) a[i] = (int) ((long) a[i] * b[i] % 167_772_161);
butterflyInv167_772_161(a, sumie);
a = java.util.Arrays.copyOf(a, n + m - 1);
final long iz = MathLib.pow167_772_161(z, 167_772_161 - 2);
for (int i = 0; i < n + m - 1; i++) a[i] = (int) (a[i] * iz % 167_772_161);
return a;
}
/**
* Convolution used mod 469_762_049.
*
* @param a Target array 1.
* @param b Target array 2.
* @return Answer.
*/
private static int[] convolution469_762_049(int[] a, int[] b) {
final int n = a.length;
final int m = b.length;
if (n == 0 || m == 0) return new int[0];
final int z = 1 << ceilPow2(n + m - 1);
{
final int[] na = new int[z];
final int[] nb = new int[z];
System.arraycopy(a, 0, na, 0, n);
System.arraycopy(b, 0, nb, 0, m);
a = na;
b = nb;
}
final int g = primitiveRoot(469_762_049);
final int[] sume;
{
long[] s = sumE(469_762_049, g);
sume = new int[s.length];
for (int i = 0; i < s.length; ++i) sume[i] = (int) s[i];
}
final int[] sumie;
{
long[] s = sumIE(469_762_049, g);
sumie = new int[s.length];
for (int i = 0; i < s.length; ++i) sumie[i] = (int) s[i];
}
butterfly469_762_049(a, sume);
butterfly469_762_049(b, sume);
for (int i = 0; i < z; i++) a[i] = (int) ((long) a[i] * b[i] % 469_762_049);
butterflyInv469_762_049(a, sumie);
a = java.util.Arrays.copyOf(a, n + m - 1);
final long iz = MathLib.pow469_762_049(z, 469_762_049 - 2);
for (int i = 0; i < n + m - 1; i++) a[i] = (int) (a[i] * iz % 469_762_049);
return a;
}
/**
* Convolution.
*
* @param a Target array 1.
* @param b Target array 2.
* @param mod NTT Prime.
* @return Answer.
*/
private static int[] convolutionNTT(int[] a, int[] b, final int mod) {
MathLib.Barrett barrett = new MathLib.Barrett(mod);
final int n = a.length;
final int m = b.length;
if (n == 0 || m == 0) return new int[0];
final int z = 1 << ceilPow2(n + m - 1);
{
final int[] na = new int[z];
final int[] nb = new int[z];
System.arraycopy(a, 0, na, 0, n);
System.arraycopy(b, 0, nb, 0, m);
a = na;
b = nb;
}
final int g = primitiveRoot(mod);
final int[] sume;
{
long[] s = sumE(mod, g);
sume = new int[s.length];
for (int i = 0; i < s.length; ++i) sume[i] = (int) s[i];
}
final int[] sumie;
{
long[] s = sumIE(mod, g);
sumie = new int[s.length];
for (int i = 0; i < s.length; ++i) sumie[i] = (int) s[i];
}
butterfly(a, sume, barrett);
butterfly(b, sume, barrett);
for (int i = 0; i < z; i++) a[i] = barrett.reduce((long) a[i] * b[i]);
butterflyInv(a, sumie, barrett);
a = java.util.Arrays.copyOf(a, n + m - 1);
final long iz = MathLib.pow(z, mod - 2, mod);
for (int i = 0; i < n + m - 1; i++) a[i] = barrett.reduce(a[i] * iz);
return a;
}
/**
* Convolution.
*
* @param a Target array 1.
* @param b Target array 2.
* @param mod NTT Prime.
* @return Answer.
*/
private static long[] convolutionNTT(long[] a, long[] b, final int mod) {
final int n = a.length;
final int m = b.length;
if (n == 0 || m == 0) return new long[0];
final int z = 1 << ceilPow2(n + m - 1);
{
final long[] na = new long[z];
final long[] nb = new long[z];
System.arraycopy(a, 0, na, 0, n);
System.arraycopy(b, 0, nb, 0, m);
a = na;
b = nb;
}
final int g = primitiveRoot(mod);
final long[] sume = sumE(mod, g);
final long[] sumie = sumIE(mod, g);
butterfly(a, sume, mod);
butterfly(b, sume, mod);
for (int i = 0; i < z; i++) {
a[i] = a[i] * b[i] % mod;
}
butterflyInv(a, sumie, mod);
a = java.util.Arrays.copyOf(a, n + m - 1);
final long iz = MathLib.pow(z, mod - 2, mod);
for (int i = 0; i < n + m - 1; i++) a[i] = a[i] * iz % mod;
return a;
}
/**
* Convolution.
*
* @param a Target array 1.
* @param b Target array 2.
* @param mod Any mod.
* @return Answer.
*/
public static long[] convolution(final long[] a, final long[] b, final int mod) {
final int n = a.length;
final int m = b.length;
if (n == 0 || m == 0) return new long[0];
final int mod1 = 998_244_353;
final int mod2 = 167_772_161;
final int mod3 = 469_762_049;
final long[] c1 = convolutionNTT(a, b, mod1);
final long[] c2 = convolutionNTT(a, b, mod2);
final long[] c3 = convolutionNTT(a, b, mod3);
final int retSize = c1.length;
final long[] ret = new long[retSize];
final int[] mods = { mod1, mod2, mod3, mod };
for (int i = 0; i < retSize; ++i) {
ret[i] = garner(new long[] { c1[i], c2[i], c3[i] }, mods);
}
return ret;
}
/**
* Convolution.
*
* @param a Target array 1.
* @param b Target array 2.
* @param mod Any mod.
* @return Answer.
*/
public static int[] convolution(final int[] a, final int[] b, final int mod) {
final int n = a.length;
final int m = b.length;
if (n == 0 || m == 0) return new int[0];
if (mod == 1_000_000_007) return convolution1_000_000_007(a, b);
if (mod == 998_244_353) return convolution998_244_353(a, b);
int ntt = Integer.lowestOneBit(mod - 1) >> 1;
if (n + m <= ntt) return convolutionNTT(a, b, mod);
final int[] c1 = convolution998_244_353(a, b);
final int[] c2 = convolution167_772_161(a, b);
final int[] c3 = convolution469_762_049(a, b);
final int retSize = c1.length;
final int[] ret = new int[retSize];
final MathLib.Barrett[] mods = { new MathLib.Barrett(998_244_353), new MathLib.Barrett(167_772_161),
new MathLib.Barrett(469_762_049), new MathLib.Barrett(mod) };
for (int i = 0; i < retSize; ++i) ret[i] = garner(c1[i], c2[i], c3[i], mods);
return ret;
}
/**
* Convolution used mod 1_000_000_007.
*
* @param a Target array 1.
* @param b Target array 2.
* @return Answer.
*/
private static int[] convolution1_000_000_007(final int[] a, final int[] b) {
final int[] c1 = convolution998_244_353(a, b);
final int[] c2 = convolution167_772_161(a, b);
final int[] c3 = convolution469_762_049(a, b);
final int retSize = c1.length;
final int[] ret = new int[retSize];
for (int i = 0; i < retSize; ++i) ret[i] = garner1_000_000_007(c1[i], c2[i], c3[i]);
return ret;
}
/**
* Convolution. need: length < 2000
*
* @param a Target array 1.
* @param b Target array 2.
* @param mod Any mod.
* @return Answer.
*/
public static int[] convolution2(final int[] a, final int[] b, final int mod) {
if (Math.max(a.length, b.length) < 4000) {
long[] la = new long[a.length], ha = new long[a.length], ma = new long[a.length],
lb = new long[b.length], hb = new long[b.length], mb = new long[b.length];
MathLib.Barrett barrett = new MathLib.Barrett(mod);
for (int i = 0; i < a.length; ++i) {
ha[i] = a[i] >> 15;
la[i] = a[i] & 0x7FFF;
ma[i] = la[i] + ha[i];
}
for (int i = 0; i < b.length; ++i) {
hb[i] = b[i] >> 15;
lb[i] = b[i] & 0x7FFF;
mb[i] = lb[i] + hb[i];
}
long[] l = convolution(la, lb), h = convolution(ha, hb), m = convolution(ma, mb);
int[] ret = new int[m.length];
for (int i = 0; i < m.length; ++i) {
h[i] = barrett.reduce(h[i]);
m[i] = barrett.reduce(m[i] - l[i] - h[i] + (long) m.length * mod);
ret[i] = barrett.reduce((h[i] << 30) + (m[i] << 15) + l[i]);
}
return ret;
}
return convolution(a, b, mod);
}
/**
* Naive convolution. (Complexity is O(N^2)!!)
*
* @param a Target array 1.
* @param b Target array 2.
* @param mod Mod.
* @return Answer.
*/
public static long[] convolutionNaive(final long[] a, final long[] b, final int mod) {
final int n = a.length;
final int m = b.length;
final int k = n + m - 1;
final long[] ret = new long[k];
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
ret[i + j] += a[i] * b[j] % mod;
ret[i + j] %= mod;
}
}
return ret;
}
}
/**
* @verified https://atcoder.jp/contests/practice2/tasks/practice2_g
*/
public static final class SCC {
static class Edge {
int from, to;
public Edge(final int from, final int to) {
this.from = from;
this.to = to;
}
}
final int n;
int m;
final java.util.ArrayList<Edge> unorderedEdges;
final int[] start;
final int[] ids;
boolean hasBuilt = false;
public SCC(final int n) {
this.n = n;
unorderedEdges = new java.util.ArrayList<>();
start = new int[n + 1];
ids = new int[n];
}
public void addEdge(final int from, final int to) {
rangeCheck(from);
rangeCheck(to);
unorderedEdges.add(new Edge(from, to));
start[from + 1]++;
m++;
}
public int id(final int i) {
if (!hasBuilt) { throw new UnsupportedOperationException("Graph hasn't been built."); }
rangeCheck(i);
return ids[i];
}
public int[][] build() {
for (int i = 1; i <= n; i++) {
start[i] += start[i - 1];
}
final Edge[] orderedEdges = new Edge[m];
final int[] count = new int[n + 1];
System.arraycopy(start, 0, count, 0, n + 1);
for (final Edge e : unorderedEdges) {
orderedEdges[count[e.from]++] = e;
}
int nowOrd = 0;
int groupNum = 0;
int k = 0;
// parent
final int[] par = new int[n];
final int[] vis = new int[n];
final int[] low = new int[n];
final int[] ord = new int[n];
java.util.Arrays.fill(ord, -1);
// u = lower32(stack[i]) : visiting vertex
// j = upper32(stack[i]) : jth child
final long[] stack = new long[n];
// size of stack
int ptr = 0;
// non-recursional DFS
for (int i = 0; i < n; i++) {
if (ord[i] >= 0) continue;
par[i] = -1;
// vertex i, 0th child.
stack[ptr++] = 0l << 32 | i;
// stack is not empty
while (ptr > 0) {
// last element
final long p = stack[--ptr];
// vertex
final int u = (int) (p & 0xffff_ffffl);
// jth child
int j = (int) (p >>> 32);
if (j == 0) { // first visit
low[u] = ord[u] = nowOrd++;
vis[k++] = u;
}
if (start[u] + j < count[u]) { // there are more children
// jth child
final int to = orderedEdges[start[u] + j].to;
// incr children counter
stack[ptr++] += 1l << 32;
if (ord[to] == -1) { // new vertex
stack[ptr++] = 0l << 32 | to;
par[to] = u;
} else { // backward edge
low[u] = Math.min(low[u], ord[to]);
}
} else { // no more children (leaving)
while (j-- > 0) {
final int to = orderedEdges[start[u] + j].to;
// update lowlink
if (par[to] == u) low[u] = Math.min(low[u], low[to]);
}
if (low[u] == ord[u]) { // root of a component
while (true) { // gathering verticies
final int v = vis[--k];
ord[v] = n;
ids[v] = groupNum;
if (v == u) break;
}
groupNum++; // incr the number of components
}
}
}
}
for (int i = 0; i < n; i++) {
ids[i] = groupNum - 1 - ids[i];
}
final int[] counts = new int[groupNum];
for (final int x : ids) counts[x]++;
final int[][] groups = new int[groupNum][];
for (int i = 0; i < groupNum; i++) {
groups[i] = new int[counts[i]];
}
for (int i = 0; i < n; i++) {
final int cmp = ids[i];
groups[cmp][--counts[cmp]] = i;
}
hasBuilt = true;
return groups;
}
private void rangeCheck(final int i) {
if (i < 0 || i >= n) {
throw new IndexOutOfBoundsException(String.format("Index %d out of bounds for length %d", i, n));
}
}
}
/**
* @verified https://atcoder.jp/contests/practice2/submissions/16647102
*/
public static final class TwoSAT {
private final int n;
private final InternalSCC scc;
private final boolean[] answer;
private boolean hasCalledSatisfiable = false;
private boolean existsAnswer = false;
public TwoSAT(int n) {
this.n = n;
scc = new InternalSCC(2 * n);
answer = new boolean[n];
}
public void addClause(int x, boolean f, int y, boolean g) {
rangeCheck(x);
rangeCheck(y);
scc.addEdge(x << 1 | (f ? 0 : 1), y << 1 | (g ? 1 : 0));
scc.addEdge(y << 1 | (g ? 0 : 1), x << 1 | (f ? 1 : 0));
}
public void addImplication(int x, boolean f, int y, boolean g) {
addClause(x, !f, y, g);
}
public void addNand(int x, boolean f, int y, boolean g) {
addClause(x, !f, y, !g);
}
public void set(int x, boolean f) {
addClause(x, f, x, f);
}
public boolean satisfiable() {
hasCalledSatisfiable = true;
int[] ids = scc.ids();
for (int i = 0; i < n; i++) {
if (ids[i << 1 | 0] == ids[i << 1 | 1]) return existsAnswer = false;
answer[i] = ids[i << 1 | 0] < ids[i << 1 | 1];
}
return existsAnswer = true;
}
public boolean[] answer() {
if (!hasCalledSatisfiable) {
throw new UnsupportedOperationException("Call TwoSAT#satisfiable at least once before TwoSAT#answer.");
}
if (existsAnswer) return answer;
return null;
}
private void rangeCheck(int x) {
if (x < 0 || x >= n) {
throw new IndexOutOfBoundsException(String.format("Index %d out of bounds for length %d", x, n));
}
}
private static final class EdgeList {
long[] a;
int ptr = 0;
EdgeList(int cap) {
a = new long[cap];
}
void add(int upper, int lower) {
if (ptr == a.length) grow();
a[ptr++] = (long) upper << 32 | lower;
}
void grow() {
long[] b = new long[a.length << 1];
System.arraycopy(a, 0, b, 0, a.length);
a = b;
}
}
private static final class InternalSCC {
final int n;
int m;
final EdgeList unorderedEdges;
final int[] start;
InternalSCC(int n) {
this.n = n;
unorderedEdges = new EdgeList(n);
start = new int[n + 1];
}
void addEdge(int from, int to) {
unorderedEdges.add(from, to);
start[from + 1]++;
m++;
}
static final long mask = 0xffff_ffffl;
int[] ids() {
for (int i = 1; i <= n; i++) {
start[i] += start[i - 1];
}
int[] orderedEdges = new int[m];
int[] count = new int[n + 1];
System.arraycopy(start, 0, count, 0, n + 1);
for (int i = 0; i < m; i++) {
long e = unorderedEdges.a[i];
orderedEdges[count[(int) (e >>> 32)]++] = (int) (e & mask);
}
int nowOrd = 0;
int groupNum = 0;
int k = 0;
int[] par = new int[n];
int[] vis = new int[n];
int[] low = new int[n];
int[] ord = new int[n];
java.util.Arrays.fill(ord, -1);
int[] ids = new int[n];
long[] stack = new long[n];
int ptr = 0;
for (int i = 0; i < n; i++) {
if (ord[i] >= 0) continue;
par[i] = -1;
stack[ptr++] = i;
while (ptr > 0) {
long p = stack[--ptr];
int u = (int) (p & mask);
int j = (int) (p >>> 32);
if (j == 0) {
low[u] = ord[u] = nowOrd++;
vis[k++] = u;
}
if (start[u] + j < count[u]) {
int to = orderedEdges[start[u] + j];
stack[ptr++] += 1l << 32;
if (ord[to] == -1) {
stack[ptr++] = to;
par[to] = u;
} else {
low[u] = Math.min(low[u], ord[to]);
}
} else {
while (j-- > 0) {
int to = orderedEdges[start[u] + j];
if (par[to] == u) low[u] = Math.min(low[u], low[to]);
}
if (low[u] == ord[u]) {
while (true) {
int v = vis[--k];
ord[v] = n;
ids[v] = groupNum;
if (v == u) break;
}
groupNum++;
}
}
}
}
for (int i = 0; i < n; i++) {
ids[i] = groupNum - 1 - ids[i];
}
return ids;
}
}
}
public static final class StringAlgorithm {
private static int[] saNaive(final int[] s) {
final int n = s.length;
final Integer[] _sa = new Integer[n];
for (int i = 0; i < n; i++) {
_sa[i] = i;
}
java.util.Arrays.sort(_sa, (l, r) -> {
while (l < n && r < n) {
if (s[l] != s[r]) return s[l] - s[r];
l++;
r++;
}
return -(l - r);
});
final int[] sa = new int[n];
for (int i = 0; i < n; i++) {
sa[i] = _sa[i];
}
return sa;
}
private static int[] saDoubling(final int[] s) {
final int n = s.length;
final Integer[] _sa = new Integer[n];
for (int i = 0; i < n; i++) {
_sa[i] = i;
}
int[] rnk = s;
int[] tmp = new int[n];
for (int k = 1; k < n; k *= 2) {
final int _k = k;
final int[] _rnk = rnk;
final java.util.Comparator<Integer> cmp = (x, y) -> {
if (_rnk[x] != _rnk[y]) return _rnk[x] - _rnk[y];
final int rx = x + _k < n ? _rnk[x + _k] : -1;
final int ry = y + _k < n ? _rnk[y + _k] : -1;
return rx - ry;
};
java.util.Arrays.sort(_sa, cmp);
tmp[_sa[0]] = 0;
for (int i = 1; i < n; i++) {
tmp[_sa[i]] = tmp[_sa[i - 1]] + (cmp.compare(_sa[i - 1], _sa[i]) < 0 ? 1 : 0);
}
final int[] buf = tmp;
tmp = rnk;
rnk = buf;
}
final int[] sa = new int[n];
for (int i = 0; i < n; i++) {
sa[i] = _sa[i];
}
return sa;
}
private static final int THRESHOLD_NAIVE = 10;
private static final int THRESHOLD_DOUBLING = 40;
private static int[] sais(final int[] s, final int upper) {
final int n = s.length;
if (n == 0) return new int[0];
if (n == 1) return new int[] { 0 };
if (n == 2) { return s[0] < s[1] ? new int[] { 0, 1 } : new int[] { 1, 0 }; }
if (n < THRESHOLD_NAIVE) { return saNaive(s); }
if (n < THRESHOLD_DOUBLING) { return saDoubling(s); }
final int[] sa = new int[n];
final boolean[] ls = new boolean[n];
for (int i = n - 2; i >= 0; i--) {
ls[i] = s[i] == s[i + 1] ? ls[i + 1] : s[i] < s[i + 1];
}
final int[] sumL = new int[upper + 1];
final int[] sumS = new int[upper + 1];
for (int i = 0; i < n; i++) {
if (ls[i]) {
sumL[s[i] + 1]++;
} else {
sumS[s[i]]++;
}
}
for (int i = 0; i <= upper; i++) {
sumS[i] += sumL[i];
if (i < upper) sumL[i + 1] += sumS[i];
}
final java.util.function.Consumer<int[]> induce = lms -> {
java.util.Arrays.fill(sa, -1);
final int[] buf = new int[upper + 1];
System.arraycopy(sumS, 0, buf, 0, upper + 1);
for (final int d : lms) {
if (d == n) continue;
sa[buf[s[d]]++] = d;
}
System.arraycopy(sumL, 0, buf, 0, upper + 1);
sa[buf[s[n - 1]]++] = n - 1;
for (int i = 0; i < n; i++) {
final int v = sa[i];
if (v >= 1 && !ls[v - 1]) {
sa[buf[s[v - 1]]++] = v - 1;
}
}
System.arraycopy(sumL, 0, buf, 0, upper + 1);
for (int i = n - 1; i >= 0; i--) {
final int v = sa[i];
if (v >= 1 && ls[v - 1]) {
sa[--buf[s[v - 1] + 1]] = v - 1;
}
}
};
final int[] lmsMap = new int[n + 1];
java.util.Arrays.fill(lmsMap, -1);
int m = 0;
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lmsMap[i] = m++;
}
}
final int[] lms = new int[m];
{
int p = 0;
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms[p++] = i;
}
}
}
induce.accept(lms);
if (m > 0) {
final int[] sortedLms = new int[m];
{
int p = 0;
for (final int v : sa) {
if (lmsMap[v] != -1) {
sortedLms[p++] = v;
}
}
}
final int[] recS = new int[m];
int recUpper = 0;
recS[lmsMap[sortedLms[0]]] = 0;
for (int i = 1; i < m; i++) {
int l = sortedLms[i - 1], r = sortedLms[i];
final int endL = lmsMap[l] + 1 < m ? lms[lmsMap[l] + 1] : n;
final int endR = lmsMap[r] + 1 < m ? lms[lmsMap[r] + 1] : n;
boolean same = true;
if (endL - l != endR - r) {
same = false;
} else {
while (l < endL && s[l] == s[r]) {
l++;
r++;
}
if (l == n || s[l] != s[r]) same = false;
}
if (!same) {
recUpper++;
}
recS[lmsMap[sortedLms[i]]] = recUpper;
}
final int[] recSA = sais(recS, recUpper);
for (int i = 0; i < m; i++) {
sortedLms[i] = lms[recSA[i]];
}
induce.accept(sortedLms);
}
return sa;
}
public static int[] suffixArray(final int[] s, final int upper) {
assert 0 <= upper;
for (final int d : s) {
assert 0 <= d && d <= upper;
}
return sais(s, upper);
}
public static int[] suffixArray(final int[] s) {
final int n = s.length;
final Integer[] idx = new Integer[n];
for (int i = 0; i < n; i++) {
idx[i] = i;
}
java.util.Arrays.sort(idx, (l, r) -> s[l] - s[r]);
final int[] s2 = new int[n];
int now = 0;
for (int i = 0; i < n; i++) {
if (i > 0 && s[idx[i - 1]] != s[idx[i]]) {
now++;
}
s2[idx[i]] = now;
}
return sais(s2, now);
}
public static int[] suffixArray(final char[] s) {
final int n = s.length;
final int[] s2 = new int[n];
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return sais(s2, 255);
}
public static int[] suffixArray(final java.lang.String s) {
return suffixArray(s.toCharArray());
}
public static int[] lcpArray(final int[] s, final int[] sa) {
final int n = s.length;
assert n >= 1;
final int[] rnk = new int[n];
for (int i = 0; i < n; i++) {
rnk[sa[i]] = i;
}
final int[] lcp = new int[n - 1];
int h = 0;
for (int i = 0; i < n; i++) {
if (h > 0) h--;
if (rnk[i] == 0) {
continue;
}
final int j = sa[rnk[i] - 1];
for (; j + h < n && i + h < n; h++) {
if (s[j + h] != s[i + h]) break;
}
lcp[rnk[i] - 1] = h;
}
return lcp;
}
public static int[] lcpArray(final char[] s, final int[] sa) {
final int n = s.length;
final int[] s2 = new int[n];
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return lcpArray(s2, sa);
}
public static int[] lcpArray(final java.lang.String s, final int[] sa) {
return lcpArray(s.toCharArray(), sa);
}
public static int[] zAlgorithm(final int[] s) {
final int n = s.length;
if (n == 0) return new int[0];
final int[] z = new int[n];
for (int i = 1, j = 0; i < n; i++) {
int k = j + z[j] <= i ? 0 : Math.min(j + z[j] - i, z[i - j]);
while (i + k < n && s[k] == s[i + k]) k++;
z[i] = k;
if (j + z[j] < i + z[i]) j = i;
}
z[0] = n;
return z;
}
public static int[] zAlgorithm(final char[] s) {
final int n = s.length;
if (n == 0) return new int[0];
final int[] z = new int[n];
for (int i = 1, j = 0; i < n; i++) {
int k = j + z[j] <= i ? 0 : Math.min(j + z[j] - i, z[i - j]);
while (i + k < n && s[k] == s[i + k]) k++;
z[i] = k;
if (j + z[j] < i + z[i]) j = i;
}
z[0] = n;
return z;
}
public static int[] zAlgorithm(final String s) {
return zAlgorithm(s.toCharArray());
}
}
/**
* @verified https://atcoder.jp/contests/practice2/tasks/practice2_j
*/
public static final class SegTree<S> {
final int MAX;
final int N;
final java.util.function.BinaryOperator<S> op;
final S E;
final S[] data;
@SuppressWarnings("unchecked")
public SegTree(final int n, final java.util.function.BinaryOperator<S> op, final S e) {
MAX = n;
int k = 1;
while (k < n) k <<= 1;
N = k;
E = e;
this.op = op;
data = (S[]) new Object[N << 1];
java.util.Arrays.fill(data, E);
}
public SegTree(final S[] dat, final java.util.function.BinaryOperator<S> op, final S e) {
this(dat.length, op, e);
build(dat);
}
private void build(final S[] dat) {
final int l = dat.length;
System.arraycopy(dat, 0, data, N, l);
for (int i = N - 1; i > 0; i--) {
data[i] = op.apply(data[i << 1 | 0], data[i << 1 | 1]);
}
}
public void set(int p, final S x) {
exclusiveRangeCheck(p);
data[p += N] = x;
p >>= 1;
while (p > 0) {
data[p] = op.apply(data[p << 1 | 0], data[p << 1 | 1]);
p >>= 1;
}
}
public void set(int p, java.util.function.UnaryOperator<S> f) {
exclusiveRangeCheck(p);
data[p += N] = f.apply(data[p]);
p >>= 1;
while (p > 0) {
data[p] = op.apply(data[p << 1 | 0], data[p << 1 | 1]);
p >>= 1;
}
}
public S get(final int p) {
exclusiveRangeCheck(p);
return data[p + N];
}
public S prod(int l, int r) {
if (l > r) { throw new IllegalArgumentException(String.format("Invalid range: [%d, %d)", l, r)); }
inclusiveRangeCheck(l);
inclusiveRangeCheck(r);
S sumLeft = E;
S sumRight = E;
l += N;
r += N;
while (l < r) {
if ((l & 1) == 1) sumLeft = op.apply(sumLeft, data[l++]);
if ((r & 1) == 1) sumRight = op.apply(data[--r], sumRight);
l >>= 1;
r >>= 1;
}
return op.apply(sumLeft, sumRight);
}
public S allProd() {
return data[1];
}
public int maxRight(int l, final java.util.function.Predicate<S> f) {
inclusiveRangeCheck(l);
if (!f.test(E)) { throw new IllegalArgumentException("Identity element must satisfy the condition."); }
if (l == MAX) return MAX;
l += N;
S sum = E;
do {
l >>= Integer.numberOfTrailingZeros(l);
if (!f.test(op.apply(sum, data[l]))) {
while (l < N) {
l = l << 1;
if (f.test(op.apply(sum, data[l]))) {
sum = op.apply(sum, data[l]);
l++;
}
}
return l - N;
}
sum = op.apply(sum, data[l]);
l++;
} while ((l & -l) != l);
return MAX;
}
public int minLeft(int r, final java.util.function.Predicate<S> f) {
inclusiveRangeCheck(r);
if (!f.test(E)) { throw new IllegalArgumentException("Identity element must satisfy the condition."); }
if (r == 0) return 0;
r += N;
S sum = E;
do {
r--;
while (r > 1 && (r & 1) == 1) r >>= 1;
if (!f.test(op.apply(data[r], sum))) {
while (r < N) {
r = r << 1 | 1;
if (f.test(op.apply(data[r], sum))) {
sum = op.apply(data[r], sum);
r--;
}
}
return r + 1 - N;
}
sum = op.apply(data[r], sum);
} while ((r & -r) != r);
return 0;
}
private void exclusiveRangeCheck(final int p) {
if (p < 0 || p >= MAX) {
throw new IndexOutOfBoundsException(
String.format("Index %d out of bounds for the range [%d, %d).", p, 0, MAX));
}
}
private void inclusiveRangeCheck(final int p) {
if (p < 0 || p > MAX) {
throw new IndexOutOfBoundsException(
String.format("Index %d out of bounds for the range [%d, %d].", p, 0, MAX));
}
}
@Override
public String toString() {
StringBuilder sb = new StringBuilder();
sb.append('[');
for (int i = 0;i < N;++ i) {
if (i != 0) sb.append(", ");
sb.append(data[i + N]);
}
sb.append(']');
return sb.toString();
}
}
/**
*
* @verified https://atcoder.jp/contests/practice2/tasks/practice2_k
*/
public static final class LazySegTree<S, F> {
final int MAX;
final int N;
final int Log;
final java.util.function.BinaryOperator<S> Op;
final S E;
final java.util.function.BiFunction<F, S, S> Mapping;
final java.util.function.BinaryOperator<F> Composition;
final F Id;
final S[] Dat;
final F[] Laz;
@SuppressWarnings("unchecked")
public LazySegTree(final int n, final java.util.function.BinaryOperator<S> op, final S e,
final java.util.function.BiFunction<F, S, S> mapping,
final java.util.function.BinaryOperator<F> composition, final F id) {
MAX = n;
int k = 1;
while (k < n) k <<= 1;
N = k;
Log = Integer.numberOfTrailingZeros(N);
Op = op;
E = e;
Mapping = mapping;
Composition = composition;
Id = id;
Dat = (S[]) new Object[N << 1];
Laz = (F[]) new Object[N];
java.util.Arrays.fill(Dat, E);
java.util.Arrays.fill(Laz, Id);
}
public LazySegTree(final S[] dat, final java.util.function.BinaryOperator<S> op, final S e,
final java.util.function.BiFunction<F, S, S> mapping,
final java.util.function.BinaryOperator<F> composition, final F id) {
this(dat.length, op, e, mapping, composition, id);
build(dat);
}
private void build(final S[] dat) {
final int l = dat.length;
System.arraycopy(dat, 0, Dat, N, l);
for (int i = N - 1; i > 0; i--) {
Dat[i] = Op.apply(Dat[i << 1 | 0], Dat[i << 1 | 1]);
}
}
private void push(final int k) {
if (Laz[k] == Id) return;
final int lk = k << 1 | 0, rk = k << 1 | 1;
Dat[lk] = Mapping.apply(Laz[k], Dat[lk]);
Dat[rk] = Mapping.apply(Laz[k], Dat[rk]);
if (lk < N) Laz[lk] = Composition.apply(Laz[k], Laz[lk]);
if (rk < N) Laz[rk] = Composition.apply(Laz[k], Laz[rk]);
Laz[k] = Id;
}
private void pushTo(final int k) {
for (int i = Log; i > 0; i--) push(k >> i);
}
private void pushTo(final int lk, final int rk) {
for (int i = Log; i > 0; i--) {
if (lk >> i << i != lk) push(lk >> i);
if (rk >> i << i != rk) push(rk >> i);
}
}
private void updateFrom(int k) {
k >>= 1;
while (k > 0) {
Dat[k] = Op.apply(Dat[k << 1 | 0], Dat[k << 1 | 1]);
k >>= 1;
}
}
private void updateFrom(final int lk, final int rk) {
for (int i = 1; i <= Log; i++) {
if (lk >> i << i != lk) {
final int lki = lk >> i;
Dat[lki] = Op.apply(Dat[lki << 1 | 0], Dat[lki << 1 | 1]);
}
if (rk >> i << i != rk) {
final int rki = rk - 1 >> i;
Dat[rki] = Op.apply(Dat[rki << 1 | 0], Dat[rki << 1 | 1]);
}
}
}
public void set(int p, final S x) {
exclusiveRangeCheck(p);
p += N;
pushTo(p);
Dat[p] = x;
updateFrom(p);
}
public S get(int p) {
exclusiveRangeCheck(p);
p += N;
pushTo(p);
return Dat[p];
}
public S prod(int l, int r) {
if (l > r) { throw new IllegalArgumentException(String.format("Invalid range: [%d, %d)", l, r)); }
inclusiveRangeCheck(l);
inclusiveRangeCheck(r);
if (l == r) return E;
l += N;
r += N;
pushTo(l, r);
S sumLeft = E, sumRight = E;
while (l < r) {
if ((l & 1) == 1) sumLeft = Op.apply(sumLeft, Dat[l++]);
if ((r & 1) == 1) sumRight = Op.apply(Dat[--r], sumRight);
l >>= 1;
r >>= 1;
}
return Op.apply(sumLeft, sumRight);
}
public S allProd() {
return Dat[1];
}
public void apply(int p, final F f) {
exclusiveRangeCheck(p);
p += N;
pushTo(p);
Dat[p] = Mapping.apply(f, Dat[p]);
updateFrom(p);
}
public void apply(int l, int r, final F f) {
if (l > r) { throw new IllegalArgumentException(String.format("Invalid range: [%d, %d)", l, r)); }
inclusiveRangeCheck(l);
inclusiveRangeCheck(r);
if (l == r) return;
l += N;
r += N;
pushTo(l, r);
for (int l2 = l, r2 = r; l2 < r2;) {
if ((l2 & 1) == 1) {
Dat[l2] = Mapping.apply(f, Dat[l2]);
if (l2 < N) Laz[l2] = Composition.apply(f, Laz[l2]);
l2++;
}
if ((r2 & 1) == 1) {
r2--;
Dat[r2] = Mapping.apply(f, Dat[r2]);
if (r2 < N) Laz[r2] = Composition.apply(f, Laz[r2]);
}
l2 >>= 1;
r2 >>= 1;
}
updateFrom(l, r);
}
public int maxRight(int l, final java.util.function.Predicate<S> g) {
inclusiveRangeCheck(l);
if (!g.test(E)) { throw new IllegalArgumentException("Identity element must satisfy the condition."); }
if (l == MAX) return MAX;
l += N;
pushTo(l);
S sum = E;
do {
l >>= Integer.numberOfTrailingZeros(l);
if (!g.test(Op.apply(sum, Dat[l]))) {
while (l < N) {
push(l);
l = l << 1;
if (g.test(Op.apply(sum, Dat[l]))) {
sum = Op.apply(sum, Dat[l]);
l++;
}
}
return l - N;
}
sum = Op.apply(sum, Dat[l]);
l++;
} while ((l & -l) != l);
return MAX;
}
public int minLeft(int r, final java.util.function.Predicate<S> g) {
inclusiveRangeCheck(r);
if (!g.test(E)) { throw new IllegalArgumentException("Identity element must satisfy the condition."); }
if (r == 0) return 0;
r += N;
pushTo(r - 1);
S sum = E;
do {
r--;
while (r > 1 && (r & 1) == 1) r >>= 1;
if (!g.test(Op.apply(Dat[r], sum))) {
while (r < N) {
push(r);
r = r << 1 | 1;
if (g.test(Op.apply(Dat[r], sum))) {
sum = Op.apply(Dat[r], sum);
r--;
}
}
return r + 1 - N;
}
sum = Op.apply(Dat[r], sum);
} while ((r & -r) != r);
return 0;
}
private void exclusiveRangeCheck(final int p) {
if (p < 0 || p >= MAX) {
throw new IndexOutOfBoundsException(String.format("Index %d is not in [%d, %d).", p, 0, MAX));
}
}
private void inclusiveRangeCheck(final int p) {
if (p < 0 || p > MAX) {
throw new IndexOutOfBoundsException(String.format("Index %d is not in [%d, %d].", p, 0, MAX));
}
}
// **************** DEBUG **************** //
private int indent = 6;
public void setIndent(final int newIndent) { indent = newIndent; }
@Override
public String toString() {
return toString(1, 0);
}
private String toString(final int k, final int sp) {
if (k >= N) return indent(sp) + Dat[k];
String s = "";
s += toString(k << 1 | 1, sp + indent);
s += "\n";
s += indent(sp) + Dat[k] + "/" + Laz[k];
s += "\n";
s += toString(k << 1 | 0, sp + indent);
return s;
}
private static String indent(int n) {
final StringBuilder sb = new StringBuilder();
while (n-- > 0) sb.append(' ');
return sb.toString();
}
}
public static final class MultiSet<T> extends java.util.TreeMap<T, Long> {
private static final long serialVersionUID = 1L;
public MultiSet() {
super();
}
public MultiSet(final java.util.List<T> list) {
super();
for (final T e : list) this.addOne(e);
}
public long count(final Object elm) {
return getOrDefault(elm, 0L);
}
public void add(final T elm, final long amount) {
if (!containsKey(elm)) put(elm, amount);
else replace(elm, get(elm) + amount);
if (this.count(elm) == 0) this.remove(elm);
}
public void addOne(final T elm) {
this.add(elm, 1);
}
public void removeOne(final T elm) {
this.add(elm, -1);
}
public void removeAll(final T elm) {
this.add(elm, -this.count(elm));
}
public static <T> MultiSet<T> merge(final MultiSet<T> a, final MultiSet<T> b) {
final MultiSet<T> c = new MultiSet<>();
for (final T x : a.keySet()) c.add(x, a.count(x));
for (final T y : b.keySet()) c.add(y, b.count(y));
return c;
}
}
}
/**
* 高速な入出力を提供します。
*
* @author 31536000
*
*/
final class FastIO implements AutoCloseable {
private Input in;
private Output out;
private Output err;
private boolean outFlush = false;
private boolean autoOutFlush = true;
public static final java.io.PrintStream DUMMY_OUT = new DummyOut();
public FastIO() {
this(System.in, System.out, System.err);
}
public FastIO(final java.io.InputStream in, final java.io.PrintStream out, final java.io.PrintStream err) {
this.in = in instanceof Input ? (Input) in : new Input(in);
if (out instanceof Output) {
this.out = (Output) out;
} else {
this.out = new Output(out);
this.out.setAutoFlush(false);
}
if (err instanceof Output) {
this.err = (Output) err;
} else {
this.err = new Output(err);
this.err.setAutoFlush(false);
}
}
public static void setFastStandardOutput(final boolean set) {
final java.io.FileOutputStream fdOut = new java.io.FileOutputStream(java.io.FileDescriptor.out);
final java.io.FileOutputStream fdErr = new java.io.FileOutputStream(java.io.FileDescriptor.err);
if (set) {
System.out.flush();
final Output out = new Output(fdOut);
out.setAutoFlush(false);
System.setOut(out);
System.err.flush();
final Output err = new Output(fdErr);
err.setAutoFlush(false);
System.setErr(err);
} else {
System.out.flush();
final java.io.PrintStream out = new java.io.PrintStream(new java.io.BufferedOutputStream(fdOut, 128), true);
System.setOut(out);
System.err.flush();
final java.io.PrintStream err = new java.io.PrintStream(new java.io.BufferedOutputStream(fdErr, 128), true);
System.setErr(err);
}
}
public void setInputStream(final java.io.InputStream in) {
if (this.in == in) return;
this.in.close();
this.in = in instanceof Input ? (Input) in : new Input(in);
}
public void setInputStream(final java.io.File in) {
try {
this.in.close();
final java.io.InputStream input = new java.io.FileInputStream(in);
this.in = new Input(input);
} catch (final java.io.FileNotFoundException e) {
e.printStackTrace();
}
}
public Input getInputStream() { return in; }
public void setOutputStream(final java.io.OutputStream out) {
if (this.out == out) {
this.out.flush();
}
final boolean flush = this.out.autoFlush;
this.out.close();
if (out instanceof Output) {
this.out = (Output) out;
this.out.setAutoFlush(flush);
} else {
this.out = new Output(out);
this.out.setAutoFlush(flush);
}
}
public void setOutputStream(final java.io.File out) {
try {
setOutputStream(new java.io.FileOutputStream(out));
} catch (final java.io.FileNotFoundException e) {
e.printStackTrace();
}
}
public void setOutputStream(final java.io.FileDescriptor out) {
setOutputStream(new java.io.FileOutputStream(out));
}
public Output getOutputStream() { return out; }
public void setErrorStream(final java.io.OutputStream err) {
if (this.err == err) {
this.err.flush();
}
final boolean flush = this.err.autoFlush;
this.err.close();
if (err instanceof Output) {
this.err = (Output) err;
this.err.setAutoFlush(flush);
} else {
this.err = new Output(err);
this.err.setAutoFlush(flush);
}
}
public void setErrorStream(final java.io.File err) {
try {
setErrorStream(new java.io.FileOutputStream(err));
} catch (final java.io.FileNotFoundException e) {
e.printStackTrace();
}
}
public void setErrorStream(final java.io.FileDescriptor err) {
setErrorStream(new java.io.FileOutputStream(err));
}
public Output getErrorStream() { return err; }
public void setAutoFlush(final boolean flush) {
out.setAutoFlush(flush);
err.setAutoFlush(flush);
}
public void setAutoOutFlush(final boolean flush) { autoOutFlush = flush; }
private void autoFlush() {
if (outFlush) {
outFlush = false;
flush();
}
}
public boolean hasNext() {
autoFlush();
return in.hasNext();
}
public boolean nextBoolean() {
autoFlush();
return in.nextBoolean();
}
public boolean[] nextBoolean(final char T) {
final char[] s = nextChars();
final boolean[] ret = new boolean[s.length];
for (int i = 0; i < ret.length; ++i) ret[i] = s[i] == T;
return ret;
}
public boolean[][] nextBoolean(final char T, final int height) {
final boolean[][] ret = new boolean[height][];
for (int i = 0; i < ret.length; ++i) {
final char[] s = nextChars();
ret[i] = new boolean[s.length];
for (int j = 0; j < ret[i].length; ++j) ret[i][j] = s[j] == T;
}
return ret;
}
public byte nextByte() {
autoFlush();
return in.nextByte();
}
public short nextShort() {
autoFlush();
return in.nextShort();
}
public short[] nextShort(final int width) {
final short[] ret = new short[width];
for (int i = 0; i < width; ++i) ret[i] = nextShort();
return ret;
}
public short[][] nextShort(final int width, final int height) {
final short[][] ret = new short[height][width];
for (int i = 0, j; i < height; ++i) for (j = 0; j < width; ++j) ret[i][j] = nextShort();
return ret;
}
public int nextInt() {
autoFlush();
return in.nextInt();
}
public int[] nextInt(final int width) {
final int[] ret = new int[width];
for (int i = 0; i < width; ++i) ret[i] = nextInt();
return ret;
}
public int[][] nextInt(final int width, final int height) {
final int[][] ret = new int[height][width];
for (int i = 0, j; i < height; ++i) for (j = 0; j < width; ++j) ret[i][j] = nextInt();
return ret;
}
public int[] nextInts() {
return nextInts(" ");
}
public int[] nextInts(final String parse) {
final String[] get = nextLine().split(parse);
final int[] ret = new int[get.length];
for (int i = 0; i < ret.length; ++i) ret[i] = Integer.valueOf(get[i]);
return ret;
}
public long nextLong() {
autoFlush();
return in.nextLong();
}
public long[] nextLong(final int width) {
final long[] ret = new long[width];
for (int i = 0; i < width; ++i) ret[i] = nextLong();
return ret;
}
public long[][] nextLong(final int width, final int height) {
final long[][] ret = new long[height][width];
for (int i = 0, j; i < height; ++i) for (j = 0; j < width; ++j) ret[j][i] = nextLong();
return ret;
}
public long[] nextLongs() {
return nextLongs(" ");
}
public long[] nextLongs(final String parse) {
final String[] get = nextLine().split(parse);
final long[] ret = new long[get.length];
for (int i = 0; i < ret.length; ++i) ret[i] = Long.valueOf(get[i]);
return ret;
}
public float nextFloat() {
autoFlush();
return in.nextFloat();
}
public double nextDouble() {
autoFlush();
return in.nextDouble();
}
public char nextChar() {
autoFlush();
return in.nextChar();
}
public char[] nextChars() {
return next().toCharArray();
}
public char[] nextChars(final char around) {
return (around + next() + around).toCharArray();
}
public char[][] nextChars(final int height) {
final char[][] ret = new char[height][];
for (int i = 0; i < ret.length; ++i) ret[i] = nextChars();
return ret;
}
public char[][] nextChars(final int height, final char around) {
final char[][] ret = new char[height + 2][];
for (int i = 1; i <= height; ++i) ret[i] = nextChars(around);
java.util.Arrays.fill(ret[0] = new char[ret[1].length], around);
java.util.Arrays.fill(ret[ret.length - 1] = new char[ret[0].length], around);
return ret;
}
public String next() {
autoFlush();
return in.next();
}
public String nextLine() {
autoFlush();
return in.nextLine();
}
public Point nextPoint() {
return new Point(nextInt(), nextInt());
}
public Point[] nextPoint(final int width) {
final Point[] ret = new Point[width];
for (int i = 0; i < width; ++i) ret[i] = nextPoint();
return ret;
}
public boolean print(final boolean b) {
out.print(b);
outFlush = autoOutFlush;
return b;
}
public byte print(final byte b) {
out.print(b);
outFlush = autoOutFlush;
return b;
}
public short print(final short s) {
out.print(s);
outFlush = autoOutFlush;
return s;
}
public int print(final int i) {
out.print(i);
outFlush = autoOutFlush;
return i;
}
public long print(final long l) {
out.print(l);
outFlush = autoOutFlush;
return l;
}
public float print(final float f) {
out.print(f);
outFlush = autoOutFlush;
return f;
}
public double print(final double d) {
out.print(d);
outFlush = autoOutFlush;
return d;
}
public double print(final double d, final int length) {
out.print(d, length);
outFlush = autoOutFlush;
return d;
}
public char print(final char c) {
out.print(c);
outFlush = autoOutFlush;
return c;
}
public char[] print(final char[] s) {
out.print(s);
outFlush = autoOutFlush;
return s;
}
public String print(final String s) {
out.print(s);
outFlush = autoOutFlush;
return s;
}
public Object print(final Object obj) {
if (obj != null && obj.getClass().isArray()) {
if (obj instanceof boolean[][]) print(obj, "\n", " ");
else if (obj instanceof byte[][]) print(obj, "\n", " ");
else if (obj instanceof short[][]) print(obj, "\n", " ");
else if (obj instanceof int[][]) print(obj, "\n", " ");
else if (obj instanceof long[][]) print(obj, "\n", " ");
else if (obj instanceof float[][]) print(obj, "\n", " ");
else if (obj instanceof double[][]) print(obj, "\n", " ");
else if (obj instanceof char[][]) print(obj, "\n", " ");
else if (obj instanceof Object[][]) print(obj, "\n", " ");
else print(obj, " ");
} else {
out.print(obj);
outFlush = autoOutFlush;
}
return obj;
}
public Object print(final Object array, final String... parse) {
print(array, 0, parse);
return array;
}
private Object print(final Object array, final int check, final String... parse) {
if (check >= parse.length) {
if (array != null && array.getClass().isArray()) throw new IllegalArgumentException("not equal dimension");
print(array);
return array;
}
final String str = parse[check];
if (array instanceof Object[]) {
final Object[] obj = (Object[]) array;
if (obj.length == 0) return array;
print(obj[0], check + 1, parse);
for (int i = 1; i < obj.length; ++i) {
print(str);
print(obj[i], check + 1, parse);
}
return array;
}
if (array instanceof java.util.Collection) {
final java.util.Iterator<?> iter = ((java.util.Collection<?>) array).iterator();
if (!iter.hasNext()) return array;
print(iter.next(), check + 1, parse);
while (iter.hasNext()) {
print(str);
print(iter.next(), check + 1, parse);
}
return array;
}
if (!array.getClass().isArray()) throw new IllegalArgumentException("not equal dimension");
if (check != parse.length - 1) throw new IllegalArgumentException("not equal dimension");
if (array instanceof boolean[]) {
final boolean[] obj = (boolean[]) array;
if (obj.length == 0) return array;
print(obj[0]);
for (int i = 1; i < obj.length; ++i) {
print(str);
print(obj[i]);
}
} else if (array instanceof byte[]) {
final byte[] obj = (byte[]) array;
if (obj.length == 0) return array;
print(obj[0]);
for (int i = 1; i < obj.length; ++i) {
print(str);
print(obj[i]);
}
return array;
} else if (array instanceof short[]) {
final short[] obj = (short[]) array;
if (obj.length == 0) return array;
print(obj[0]);
for (int i = 1; i < obj.length; ++i) {
print(str);
print(obj[i]);
}
} else if (array instanceof int[]) {
final int[] obj = (int[]) array;
if (obj.length == 0) return array;
print(obj[0]);
for (int i = 1; i < obj.length; ++i) {
print(str);
print(obj[i]);
}
} else if (array instanceof long[]) {
final long[] obj = (long[]) array;
if (obj.length == 0) return array;
print(obj[0]);
for (int i = 1; i < obj.length; ++i) {
print(str);
print(obj[i]);
}
} else if (array instanceof float[]) {
final float[] obj = (float[]) array;
if (obj.length == 0) return array;
print(obj[0]);
for (int i = 1; i < obj.length; ++i) {
print(str);
print(obj[i]);
}
} else if (array instanceof double[]) {
final double[] obj = (double[]) array;
if (obj.length == 0) return array;
print(obj[0]);
for (int i = 1; i < obj.length; ++i) {
print(str);
print(obj[i]);
}
} else if (array instanceof char[]) {
final char[] obj = (char[]) array;
if (obj.length == 0) return array;
print(obj[0]);
for (int i = 1; i < obj.length; ++i) {
print(str);
print(obj[i]);
}
} else throw new AssertionError();
return array;
}
public Object[] print(final String parse, final Object... args) {
print(args[0]);
for (int i = 1; i < args.length; ++i) {
print(parse);
print(args[i]);
}
return args;
}
public Object[] printf(final String format, final Object... args) {
out.printf(format, args);
outFlush = autoOutFlush;
return args;
}
public Object[] printf(final java.util.Locale l, final String format, final Object... args) {
out.printf(l, format, args);
outFlush = autoOutFlush;
return args;
}
public void println() {
out.println();
outFlush = autoOutFlush;
}
public boolean println(final boolean b) {
out.println(b);
outFlush = autoOutFlush;
return b;
}
public byte println(final byte b) {
out.println(b);
outFlush = autoOutFlush;
return b;
}
public short println(final short s) {
out.println(s);
outFlush = autoOutFlush;
return s;
}
public int println(final int i) {
out.println(i);
outFlush = autoOutFlush;
return i;
}
public long println(final long l) {
out.println(l);
outFlush = autoOutFlush;
return l;
}
public float println(final float f) {
out.println(f);
outFlush = autoOutFlush;
return f;
}
public double println(final double d) {
out.println(d);
outFlush = autoOutFlush;
return d;
}
public double println(final double d, final int length) {
out.println(d, length);
outFlush = autoOutFlush;
return d;
}
public char println(final char c) {
out.println(c);
outFlush = autoOutFlush;
return c;
}
public char[] println(final char[] s) {
out.println(s);
outFlush = autoOutFlush;
return s;
}
public String println(final String s) {
out.println(s);
return s;
}
public Object println(final Object obj) {
print(obj);
println();
return obj;
}
public Object println(final Object array, final String... parse) {
print(array, parse);
println();
return array;
}
public boolean debug(final boolean b) {
err.print(b);
outFlush = autoOutFlush;
return b;
}
public byte debug(final byte b) {
err.print(b);
outFlush = autoOutFlush;
return b;
}
public short debug(final short s) {
err.print(s);
outFlush = autoOutFlush;
return s;
}
public int debug(final int i) {
err.print(i);
outFlush = autoOutFlush;
return i;
}
public long debug(final long l) {
err.print(l);
outFlush = autoOutFlush;
return l;
}
public float debug(final float f) {
err.print(f);
outFlush = autoOutFlush;
return f;
}
public double debug(final double d) {
err.print(d);
outFlush = autoOutFlush;
return d;
}
public double debug(final double d, final int length) {
err.print(d, length);
outFlush = autoOutFlush;
return d;
}
public char debug(final char c) {
err.print(c);
outFlush = autoOutFlush;
return c;
}
public char[] debug(final char[] s) {
err.print(s);
outFlush = autoOutFlush;
return s;
}
public String debug(final String s) {
err.print(s);
outFlush = autoOutFlush;
return s;
}
public Object debug(final Object obj) {
if (obj != null && obj.getClass().isArray()) {
if (obj instanceof boolean[][]) debug(obj, "\n", " ");
else if (obj instanceof byte[][]) debug(obj, "\n", " ");
else if (obj instanceof short[][]) debug(obj, "\n", " ");
else if (obj instanceof int[][]) debug(obj, "\n", " ");
else if (obj instanceof long[][]) debug(obj, "\n", " ");
else if (obj instanceof float[][]) debug(obj, "\n", " ");
else if (obj instanceof double[][]) debug(obj, "\n", " ");
else if (obj instanceof char[][]) debug(obj, "\n", " ");
else if (obj instanceof Object[][]) debug(obj, "\n", " ");
else debug(obj, " ");
} else {
err.print(obj);
outFlush = autoOutFlush;
}
return obj;
}
public Object debug(final Object array, final String... parse) {
debug(array, 0, parse);
return array;
}
private Object debug(final Object array, final int check, final String... parse) {
if (check >= parse.length) {
if (array != null && array.getClass().isArray()) throw new IllegalArgumentException("not equal dimension");
debug(array);
return array;
}
final String str = parse[check];
if (array instanceof Object[]) {
final Object[] obj = (Object[]) array;
if (obj.length == 0) return array;
debug(obj[0], check + 1, parse);
for (int i = 1; i < obj.length; ++i) {
debug(str);
debug(obj[i], check + 1, parse);
}
return array;
}
if (array instanceof java.util.Collection) {
final java.util.Iterator<?> iter = ((java.util.Collection<?>) array).iterator();
if (!iter.hasNext()) return array;
debug(iter.next(), check + 1, parse);
while (iter.hasNext()) {
debug(str);
debug(iter.next(), check + 1, parse);
}
return array;
}
if (!array.getClass().isArray()) throw new IllegalArgumentException("not equal dimension");
if (check != parse.length - 1) throw new IllegalArgumentException("not equal dimension");
if (array instanceof boolean[]) {
final boolean[] obj = (boolean[]) array;
if (obj.length == 0) return array;
debug(obj[0]);
for (int i = 1; i < obj.length; ++i) {
debug(str);
debug(obj[i]);
}
} else if (array instanceof byte[]) {
final byte[] obj = (byte[]) array;
if (obj.length == 0) return array;
debug(obj[0]);
for (int i = 1; i < obj.length; ++i) {
debug(str);
debug(obj[i]);
}
return array;
} else if (array instanceof short[]) {
final short[] obj = (short[]) array;
if (obj.length == 0) return array;
debug(obj[0]);
for (int i = 1; i < obj.length; ++i) {
debug(str);
debug(obj[i]);
}
} else if (array instanceof int[]) {
final int[] obj = (int[]) array;
if (obj.length == 0) return array;
debug(obj[0]);
for (int i = 1; i < obj.length; ++i) {
debug(str);
debug(obj[i]);
}
} else if (array instanceof long[]) {
final long[] obj = (long[]) array;
if (obj.length == 0) return array;
debug(obj[0]);
for (int i = 1; i < obj.length; ++i) {
debug(str);
debug(obj[i]);
}
} else if (array instanceof float[]) {
final float[] obj = (float[]) array;
if (obj.length == 0) return array;
debug(obj[0]);
for (int i = 1; i < obj.length; ++i) {
debug(str);
debug(obj[i]);
}
} else if (array instanceof double[]) {
final double[] obj = (double[]) array;
if (obj.length == 0) return array;
debug(obj[0]);
for (int i = 1; i < obj.length; ++i) {
debug(str);
debug(obj[i]);
}
} else if (array instanceof char[]) {
final char[] obj = (char[]) array;
if (obj.length == 0) return array;
debug(obj[0]);
for (int i = 1; i < obj.length; ++i) {
debug(str);
debug(obj[i]);
}
} else throw new AssertionError();
return array;
}
public Object[] debug(final String parse, final Object... args) {
debug(args[0]);
for (int i = 1; i < args.length; ++i) {
debug(parse);
debug(args[i]);
}
return args;
}
public Object[] debugf(final String format, final Object... args) {
err.printf(format, args);
outFlush = autoOutFlush;
return args;
}
public Object[] debugf(final java.util.Locale l, final String format, final Object... args) {
err.printf(l, format, args);
outFlush = autoOutFlush;
return args;
}
public void debugln() {
err.println();
outFlush = autoOutFlush;
}
public boolean debugln(final boolean b) {
err.println(b);
outFlush = autoOutFlush;
return b;
}
public byte debugln(final byte b) {
err.println(b);
outFlush = autoOutFlush;
return b;
}
public short debugln(final short s) {
err.println(s);
outFlush = autoOutFlush;
return s;
}
public int debugln(final int i) {
err.println(i);
outFlush = autoOutFlush;
return i;
}
public long debugln(final long l) {
err.println(l);
outFlush = autoOutFlush;
return l;
}
public float debugln(final float f) {
err.println(f);
outFlush = autoOutFlush;
return f;
}
public double debugln(final double d) {
err.println(d);
outFlush = autoOutFlush;
return d;
}
public double debugln(final double d, final int length) {
err.println(d, length);
outFlush = autoOutFlush;
return d;
}
public char debugln(final char c) {
err.println(c);
outFlush = autoOutFlush;
return c;
}
public char[] debugln(final char[] s) {
err.println(s);
outFlush = autoOutFlush;
return s;
}
public String debugln(final String s) {
err.println(s);
outFlush = autoOutFlush;
return s;
}
public Object debugln(final Object obj) {
debug(obj);
debugln();
return obj;
}
public Object debugln(final Object array, final String... parse) {
debug(array, parse);
debugln();
return array;
}
public void flush() {
out.flush();
err.flush();
outFlush = false;
}
@Override
public void close() {
out.close();
err.close();
}
public static final class Input extends java.io.InputStream {
private final java.io.InputStream in;
private final byte[] buffer = new byte[1 << 13];
private int read = 0;
private int length = 0;
public Input(final java.io.InputStream in) {
this.in = in;
}
@Override
public int available() {
try {
return in.available();
} catch (final java.io.IOException e) {
e.printStackTrace();
}
return 0;
}
@Override
public void close() {
try {
in.close();
read = length = 0;
} catch (final java.io.IOException e) {
e.printStackTrace();
}
}
@Override
public int read() {
if (hasNextByte()) return nextByte();
return 0;
}
private boolean hasNextByte() {
if (read < length) return true;
read = 0;
try {
length = in.read(buffer);
} catch (final java.io.IOException e) {
e.printStackTrace();
}
return length > 0;
}
private static boolean isPrintableChar(final byte c) {
return 32 < c || c < 0;
}
private static boolean isNumber(final byte c) {
return '0' <= c && c <= '9';
}
private boolean readNewLine() {
if (hasNextByte()) {
if (buffer[read] == '\r') {
++read;
if (hasNextByte() && buffer[read] == '\n') ++read;
return true;
}
if (buffer[read] == '\n') {
++read;
return true;
}
}
return false;
}
public boolean hasNext() {
while (hasNextByte() && !isPrintableChar(buffer[read])) read++;
return hasNextByte();
}
private byte nextTokenByte() {
while (hasNextByte() && !isPrintableChar(buffer[read])) read++;
return buffer[read++];
}
public boolean nextBoolean() {
return Boolean.valueOf(next());
}
public byte nextByte() {
if (hasNextByte()) return buffer[read++];
throw new java.util.NoSuchElementException();
}
public short nextShort() {
byte b = nextTokenByte();
short n = 0;
try {
if (b == '-') {
while (isNumber(b = nextByte())) n = (short) (n * 10 + '0' - b);
return n;
} else if (!isNumber(b)) throw new NumberFormatException();
do n = (short) (n * 10 + b - '0'); while (isNumber(b = nextByte()));
return n;
} catch (final java.util.NoSuchElementException e) {
return n;
}
}
public int nextInt() {
byte b = nextTokenByte();
int n = 0;
try {
if (b == '-') {
while (isNumber(b = nextByte())) n = n * 10 + '0' - b;
return n;
} else if (!isNumber(b)) throw new NumberFormatException();
do n = n * 10 + b - '0'; while (isNumber(b = nextByte()));
return n;
} catch (final java.util.NoSuchElementException e) {
return n;
}
}
public long nextLong() {
byte b = nextTokenByte();
long n = 0;
try {
if (b == '-') {
while (isNumber(b = nextByte())) n = n * 10 + '0' - b;
return n;
} else if (!isNumber(b)) throw new NumberFormatException();
do n = n * 10 + b - '0'; while (isNumber(b = nextByte()));
return n;
} catch (final java.util.NoSuchElementException e) {
return n;
}
}
public float nextFloat() {
return Float.parseFloat(next());
}
public double nextDouble() {
return Double.parseDouble(next());
}
public char nextChar() {
final byte b = nextByte();
if ((b & 0x80) == 0) return (char) b;
if ((b & 0x20) == 0) return (char) ((b & 0x1F) << 6 | nextByte() & 0x3F);
return (char) ((b & 0xF) << 12 | (nextByte() & 0x3F) << 6 | nextByte() & 0x3F);
}
public String next() {
if (!hasNext()) throw new java.util.NoSuchElementException();
final StringBuilder sb = new StringBuilder();
do sb.append(nextChar()); while (hasNextByte() && isPrintableChar(buffer[read]));
return sb.toString();
}
public String nextLine() {
final StringBuilder sb = new StringBuilder();
while (!readNewLine()) sb.append(nextChar());
return sb.toString();
}
}
public static final class Output extends java.io.PrintStream {
private final byte[] buffer = new byte[1 << 13];
private int read = 0;
private boolean autoFlush = true;
public Output(final java.io.OutputStream out) {
super(out);
}
public void setAutoFlush(final boolean autoFlush) { this.autoFlush = autoFlush; }
@Override
public void close() {
if (out == System.out || out == System.err || this == System.out || this == System.err) {
flush();
return;
}
try {
flush();
out.close();
} catch (final java.io.IOException e) {
e.printStackTrace();
}
}
@Override
public void flush() {
try {
write();
out.flush();
} catch (final java.io.IOException e) {
e.printStackTrace();
}
}
@Override
public void write(final byte[] b) {
if (b.length < buffer.length) {
ensureBuffer(b.length);
System.arraycopy(b, 0, buffer, read, b.length);
read += b.length;
} else {
write();
try {
out.write(b);
} catch (final java.io.IOException e) {
e.printStackTrace();
}
}
}
@Override
public void write(final byte[] b, final int off, final int len) {
if (len < buffer.length) {
ensureBuffer(len);
System.arraycopy(b, off, buffer, read, len);
read += len;
} else {
write();
try {
out.write(b, off, len);
} catch (final java.io.IOException e) {
e.printStackTrace();
}
}
}
@Override
public void write(final int b) {
print((byte) b);
}
private void write() {
try {
out.write(buffer, 0, read);
read = 0;
} catch (final java.io.IOException e) {
e.printStackTrace();
}
}
private void ensureBuffer(final int size) {
if (read + size > buffer.length) {
write();
}
}
@Override
public void print(final boolean b) {
if (b) {
ensureBuffer(4);
buffer[read++] = 't';
buffer[read++] = 'r';
buffer[read++] = 'u';
buffer[read++] = 'e';
} else {
ensureBuffer(5);
buffer[read++] = 'f';
buffer[read++] = 'a';
buffer[read++] = 'l';
buffer[read++] = 's';
buffer[read++] = 'e';
}
}
public void print(final byte b) {
ensureBuffer(1);
buffer[read++] = b;
}
private static int digit(final short s) {
return s >= 100 ? s >= 1000 ? s >= 10000 ? 5 : 4 : 3 : s >= 10 ? 2 : 1;
}
public void print(short s) {
ensureBuffer(6);
if (s < 0) {
if (s == -32768) {
buffer[read++] = '-';
buffer[read++] = '3';
buffer[read++] = '2';
buffer[read++] = '7';
buffer[read++] = '6';
buffer[read++] = '8';
return;
}
buffer[read++] = '-';
s = (short) -s;
}
final int digit = digit(s);
int i = read + digit;
while (i-- > read) {
buffer[i] = (byte) (s % 10 + '0');
s /= 10;
}
read += digit;
}
private static int digit(final int i) {
if (i >= 1000000000) return 10;
if (i >= 100000000) return 9;
if (i >= 10000000) return 8;
if (i >= 1000000) return 7;
if (i >= 100000) return 6;
if (i >= 10000) return 5;
if (i >= 1000) return 4;
if (i >= 100) return 3;
if (i >= 10) return 2;
return 1;
}
@Override
public void print(int i) {
ensureBuffer(11);
if (i < 0) {
if (i == -2147483648) {
buffer[read++] = '-';
buffer[read++] = '2';
buffer[read++] = '1';
buffer[read++] = '4';
buffer[read++] = '7';
buffer[read++] = '4';
buffer[read++] = '8';
buffer[read++] = '3';
buffer[read++] = '6';
buffer[read++] = '4';
buffer[read++] = '8';
return;
}
buffer[read++] = '-';
i = -i;
}
final int digit = digit(i);
int j = read + digit;
while (j-- > read) {
buffer[j] = (byte) (i % 10 + '0');
i /= 10;
}
read += digit;
}
private static int digit(final long l) {
if (l >= 1000000000000000000L) return 19;
if (l >= 100000000000000000L) return 18;
if (l >= 10000000000000000L) return 17;
if (l >= 1000000000000000L) return 16;
if (l >= 100000000000000L) return 15;
if (l >= 10000000000000L) return 14;
if (l >= 1000000000000L) return 13;
if (l >= 100000000000L) return 12;
if (l >= 10000000000L) return 11;
if (l >= 1000000000L) return 10;
if (l >= 100000000L) return 9;
if (l >= 10000000L) return 8;
if (l >= 1000000L) return 7;
if (l >= 100000L) return 6;
if (l >= 10000L) return 5;
if (l >= 1000L) return 4;
if (l >= 100L) return 3;
if (l >= 10L) return 2;
return 1;
}
@Override
public void print(long l) {
ensureBuffer(20);
if (l < 0) {
if (l == -9223372036854775808L) {
buffer[read++] = '-';
buffer[read++] = '9';
buffer[read++] = '2';
buffer[read++] = '2';
buffer[read++] = '3';
buffer[read++] = '3';
buffer[read++] = '7';
buffer[read++] = '2';
buffer[read++] = '0';
buffer[read++] = '3';
buffer[read++] = '6';
buffer[read++] = '8';
buffer[read++] = '5';
buffer[read++] = '4';
buffer[read++] = '7';
buffer[read++] = '7';
buffer[read++] = '5';
buffer[read++] = '8';
buffer[read++] = '0';
buffer[read++] = '8';
return;
}
buffer[read++] = '-';
l = -l;
}
final int digit = digit(l);
int i = read + digit;
while (i-- > read) {
buffer[i] = (byte) (l % 10 + '0');
l /= 10;
}
read += digit;
}
@Override
public void print(final float f) {
print(Float.toString(f));
}
@Override
public void print(final double d) {
print(Double.toString(d));
}
public void print(double d, final int n) {
if (d < 0) {
ensureBuffer(1);
buffer[read++] = '-';
d = -d;
}
d += Math.pow(10, -n) / 2;
final long l = (long) d;
print(l);
ensureBuffer(n + 1);
buffer[read++] = '.';
d -= l;
for (int i = 0; i < n; i++) {
d *= 10;
final int in = (int) d;
buffer[read++] = (byte) (in + '0');
d -= in;
}
}
@Override
public void print(final char c) {
if (c < 0x80) {
ensureBuffer(1);
buffer[read++] = (byte) c;
} else if (c < 0x07FF) {
ensureBuffer(2);
buffer[read++] = (byte) (c >> 6 & 0x3F | 0x80);
buffer[read++] = (byte) (c & 0x3F | 0x80);
} else {
ensureBuffer(3);
buffer[read++] = (byte) (c >> 12 & 0xF | 0xE0);
buffer[read++] = (byte) (c >> 6 & 0x3F | 0x80);
buffer[read++] = (byte) (c & 0x3F | 0x80);
}
}
@Override
public void print(final char[] s) {
for (final char i : s) print(i);
}
@Override
public void print(final String s) {
print(s.toCharArray());
}
@Override
public void print(final Object o) {
print(o.toString());
}
@Override
public Output printf(final java.util.Locale l, final String format, final Object... args) {
print(String.format(l, format, args));
return this;
}
@Override
public Output printf(final String format, final Object... args) {
print(String.format(format, args));
return this;
}
@Override
public void println() {
ensureBuffer(1);
buffer[read++] = '\n';
if (autoFlush) flush();
}
@Override
public void println(final boolean b) {
print(b);
println();
}
public void println(final byte b) {
print(b);
println();
}
public void println(final short s) {
print(s);
println();
}
@Override
public void println(final int i) {
print(i);
println();
}
@Override
public void println(final long l) {
print(l);
println();
}
@Override
public void println(final float f) {
print(f);
println();
}
@Override
public void println(final double d) {
print(d);
println();
}
public void println(final double d, final int n) {
print(d, n);
println();
}
@Override
public void println(final char c) {
print(c);
println();
}
@Override
public void println(final char[] s) {
print(s);
println();
}
@Override
public void println(final String s) {
print(s);
println();
}
@Override
public void println(final Object o) {
print(o);
println();
}
@Override
public Output append(final char c) {
print(c);
return this;
}
@Override
public Output append(CharSequence csq) {
if (csq == null) csq = "null";
print(csq.toString());
return this;
}
@Override
public Output append(CharSequence csq, final int start, final int end) {
if (csq == null) csq = "null";
print(csq.subSequence(start, end).toString());
return this;
}
}
public static final class DummyOut extends java.io.PrintStream {
public DummyOut() {
super(new Dummy());
}
private static class Dummy extends java.io.OutputStream {
@Override
public void close() {
}
@Override
public void flush() {
}
@Override
public void write(final byte[] b) {
}
@Override
public void write(final byte[] b, final int off, final int len) {
}
@Override
public void write(final int b) {
}
}
}
}
import java.awt.Point;
import java.io.Serializable;
import java.math.BigInteger;
import java.util.AbstractList;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.BitSet;
import java.util.Collection;
import java.util.Comparator;
import java.util.HashMap;
import java.util.Iterator;
import java.util.List;
import java.util.Map;
import java.util.Map.Entry;
import java.util.PriorityQueue;
import java.util.Queue;
import java.util.RandomAccess;
import java.util.Set;
import java.util.TreeMap;
import java.util.function.BinaryOperator;
import java.util.function.UnaryOperator;
import java.util.stream.IntStream;
public class Main implements Runnable {
private void solve(final FastIO io, final String[] args) {
io.setAutoFlush(true);
io.setAutoOutFlush(false);
/*
* author: 31536000
* AtCoder Beginner Contest 352 F問題
* 考察メモ
* まず、疎な頂点が二つある場合は明らかにそこに関しては一意に定まらない
* よって、残りの頂点に対する割り当てだけ考えれば良い
* 各連結成分に対して、最小値を決めれば残りは一意に定まる
* ということは、連結成分はN/2個以下であり、それぞれに最小値を決めるのは16P8≒5e8とか(実際にはもっと小さいはず)
*/
int N = io.nextInt(), M = io.nextInt();
ACL.DisjointSetUnion dsu = ACL.DisjointSetUnion.create(N);
ArrayList<ArrayList<Edge>> graph = new ArrayList<>(N);
for (int i = 0;i < N;++ i) graph.add(new ArrayList<>());
for (int i = 0;i < M;++ i) {
int A = io.nextInt() - 1, B = io.nextInt() - 1, C = io.nextInt();
dsu.merge(A, B);
graph.get(A).add(new Edge(A, B, -C));
graph.get(B).add(new Edge(B, A, C));
}
// 要素数1の連結成分が二つ以上あるなら、数えない
int one = (int)IntStream.range(0, N).filter(i -> dsu.getSize(i) == 1).count();
Component[] comp = Arrays
.stream(dsu.getGroups().stream().filter(i -> one <= 1 || i.size() != 1).mapToInt(i -> i.get(0)).toArray())
.mapToObj(i -> new Component(i, graph)).toArray(Component[]::new);
dfs(comp, new BitSet(N), 0, N);
int[] ans = new int[N];
Arrays.fill(ans, -1);
for (Component c : comp) {
if (c.candidate.cardinality() != 1) continue;
int min = c.candidate.nextSetBit(0) + 1;
for (Map.Entry<Integer, Integer> e : c.add.entrySet()) ans[e.getKey()] = e.getValue() + min;
}
io.println(ans);
}
class Edge {
int source, target, dist;
Edge(int source, int target, int dist) {
this.source = source;
this.target = target;
this.dist = dist;
}
}
class Component {
BitSet candidate;
int[] fill;
HashMap<Integer, Integer> add = new HashMap<>();
int N, max, target;
Component(int i, ArrayList<ArrayList<Edge>> graph) {
N = graph.size();
candidate = new BitSet(graph.size());
target = i;
add.put(i, 0);
Queue<Integer> bfs = new ArrayDeque<>();
bfs.add(i);
while(!bfs.isEmpty()) {
int now = bfs.poll();
for (Edge e: graph.get(now)) {
if (add.containsKey(e.target)) continue;
add.put(e.target, add.get(e.source) + e.dist);
bfs.add(e.target);
}
}
fill = add.values().stream().mapToInt(x -> x).sorted().toArray();
add.replaceAll((key, value) -> value - fill[0]);
for (int j = fill.length - 1;j >= 0;-- j) fill[j] -= fill[0];
max = fill[fill.length - 1];
}
boolean set(BitSet set, int first) {
if (first + max >= N) return false;
for (int i : fill) if (set.get(i + first)) return false;
for (int i : fill) set.set(i + first);
return true;
}
void undo(BitSet set, int first) {
for (int i : fill) set.clear(first + i);
}
}
boolean dfs(Component[] comp, BitSet use, int remain, int N) {
if (remain + 1 == 1 << comp.length) return true;
boolean result = false;
for (int i = 0;i < comp.length;++ i) {
if ((remain >> i & 1) != 0) continue;
for (int next = use.nextClearBit(0);next < N;next = use.nextClearBit(next + 1)) {
if (!comp[i].set(use, next)) continue;
if (dfs(comp, use, remain | 1 << i, N)) {
comp[i].candidate.set(next); // nextを用いて全部埋められた
result = true;
comp[i].undo(use, next);
}
comp[i].undo(use, next);
}
}
return result;
}
/** デバッグ用コードのお供に */
private static boolean DEBUG = false;
/** 確保するメモリの大きさ(単位: MB) */
private static final long MEMORY = 64;
private final FastIO io;
private final String[] args;
public static void main(final String[] args) {
Thread.setDefaultUncaughtExceptionHandler((t, e) -> {
e.printStackTrace();
System.exit(1);
});
FastIO.setFastStandardOutput(true);
new Thread(null, new Main(args), "", MEMORY * 1048576L).start();
}
public Main(final String[] args) {
this(new FastIO(), args);
}
public Main(final FastIO io, final String... args) {
this.io = io;
this.args = args;
if (DEBUG) io.setAutoFlush(true);
}
@Override
public void run() {
try {
solve(io, args);
} catch (final Throwable e) {
throw e;
} finally {
io.close();
FastIO.setFastStandardOutput(false);
}
}
// 以下、ライブラリ
/**
* 指数表記の値を整数で返します。
*
* @param n 仮数部
* @param e 指数部
* @return n * 10^e
*/
public static int exponent10(final int n, final int e) {
return n * pow(10, e);
}
/**
* 指数表記の値を整数で返します。
*
* @param n 仮数部
* @param e 指数部
* @return n * 10^e
*/
public static long exponent10L(final int n, final int e) {
return n * pow(10L, e);
}
/**
* aのb乗を返します。
*
* @param a 整数
* @param b 整数
* @return aのb乗
*/
public static int pow(final int a, int b) {
int ans = 1;
for (int mul = a; b > 0; b >>= 1, mul *= mul) if ((b & 1) != 0) ans *= mul;
return ans;
}
/**
* aのb乗をmodを法として計算したものを返します。
*
* @param a 整数
* @param b 整数
* @param mod 法
* @return aのb乗をmodを法として計算したもの
*/
public static int pow(int a, int b, final int mod) {
a %= mod;
if (a < 0) a += mod;
if (b < 0) {
b %= mod - 1;
b += mod - 1;
}
long ans = 1;
for (long mul = a; b > 0; b >>= 1, mul = mul * mul % mod) if ((b & 1) != 0) ans = ans * mul % mod;
return (int) ans;
}
/**
* aのb乗を返します。
*
* @param a 整数
* @param b 整数
* @return aのb乗
*/
public static long pow(final long a, long b) {
long ans = 1;
for (long mul = a; b > 0; b >>= 1, mul *= mul) if ((b & 1) != 0) ans *= mul;
return ans;
}
/**
* aのb乗をmodを法として計算したものを返します。
*
* @param a 整数
* @param b 整数
* @param mod 法
* @return aのb乗をmodを法として計算したもの
*/
public static int pow(long a, long b, final int mod) {
a %= mod;
if (a < 0) a += mod;
if (b < 0) {
b %= mod - 1;
b += mod - 1;
}
long ans = 1;
for (long mul = a; b > 0; b >>= 1, mul = mul * mul % mod) if ((b & 1) != 0) ans = ans * mul % mod;
return (int) ans;
}
public enum BoundType {
CLOSED, OPEN;
}
public static class Range<C> implements Serializable {
private static final long serialVersionUID = -4702828934863023392L;
protected C lower;
protected C upper;
protected BoundType lowerType;
protected BoundType upperType;
private Comparator<? super C> comparator;
protected Range(final C lower, final BoundType lowerType, final C upper, final BoundType upperType) {
this(lower, lowerType, upper, upperType, null);
}
protected Range(final C lower, final BoundType lowerType, final C upper, final BoundType upperType,
final Comparator<? super C> comparator) {
this.lower = lower;
this.upper = upper;
this.lowerType = lowerType;
this.upperType = upperType;
this.comparator = comparator;
}
public static <C extends Comparable<? super C>> Range<C> range(final C lower, final BoundType lowerType,
final C upper, final BoundType upperType) {
if (lower != null && upper != null) {
final int comp = lower.compareTo(upper);
if (comp > 0) return new Range<>(null, BoundType.CLOSED, null, BoundType.CLOSED);
else if (comp == 0 && (lowerType == BoundType.OPEN || upperType == BoundType.OPEN))
return new Range<>(null, BoundType.CLOSED, null, BoundType.CLOSED);
}
return new Range<>(lower, lowerType, upper, upperType);
}
public static <C> Range<C> range(final C lower, final BoundType lowerType, final C upper,
final BoundType upperType, final Comparator<? super C> comparator) {
if (lower != null && upper != null) {
final int comp = comparator.compare(lower, upper);
if (comp > 0) return new Range<>(null, BoundType.CLOSED, null, BoundType.CLOSED, comparator);
else if (comp == 0 && (lowerType == BoundType.OPEN || upperType == BoundType.OPEN))
return new Range<>(null, BoundType.CLOSED, null, BoundType.CLOSED, comparator);
}
return new Range<>(lower, lowerType, upper, upperType, comparator);
}
public static <C extends Comparable<? super C>> Range<C> all() {
return range((C) null, BoundType.OPEN, null, BoundType.OPEN);
}
public static <C> Range<C> all(final Comparator<? super C> comparator) {
return range((C) null, BoundType.OPEN, null, BoundType.OPEN, comparator);
}
public static <C extends Comparable<? super C>> Range<C> atMost(final C upper) {
return range(null, BoundType.OPEN, upper, BoundType.CLOSED);
}
public static <C> Range<C> atMost(final C upper, final Comparator<? super C> comparator) {
return range(null, BoundType.OPEN, upper, BoundType.CLOSED, comparator);
}
public static <C extends Comparable<? super C>> Range<C> lessThan(final C upper) {
return range(null, BoundType.OPEN, upper, BoundType.OPEN);
}
public static <C> Range<C> lessThan(final C upper, final Comparator<? super C> comparator) {
return range(null, BoundType.OPEN, upper, BoundType.OPEN, comparator);
}
public static <C extends Comparable<? super C>> Range<C> downTo(final C upper, final BoundType boundType) {
return range(null, BoundType.OPEN, upper, boundType);
}
public static <C> Range<C> downTo(final C upper, final BoundType boundType,
final Comparator<? super C> comparator) {
return range(null, BoundType.OPEN, upper, boundType, comparator);
}
public static <C extends Comparable<? super C>> Range<C> atLeast(final C lower) {
return range(lower, BoundType.CLOSED, null, BoundType.OPEN);
}
public static <C> Range<C> atLeast(final C lower, final Comparator<? super C> comparator) {
return range(lower, BoundType.CLOSED, null, BoundType.OPEN, comparator);
}
public static <C extends Comparable<? super C>> Range<C> greaterThan(final C lower) {
return range(lower, BoundType.OPEN, null, BoundType.OPEN);
}
public static <C> Range<C> greaterThan(final C lower, final Comparator<? super C> comparator) {
return range(lower, BoundType.OPEN, null, BoundType.OPEN, comparator);
}
public static <C extends Comparable<? super C>> Range<C> upTo(final C lower, final BoundType boundType) {
return range(lower, boundType, null, BoundType.OPEN);
}
public static <C> Range<C> upTo(final C lower, final BoundType boundType,
final Comparator<? super C> comparator) {
return range(lower, boundType, null, BoundType.OPEN, comparator);
}
public static <C extends Comparable<? super C>> Range<C> open(final C lower, final C upper) {
return range(lower, BoundType.OPEN, upper, BoundType.OPEN);
}
public static <C> Range<C> open(final C lower, final C upper, final Comparator<? super C> comparator) {
return range(lower, BoundType.OPEN, upper, BoundType.OPEN, comparator);
}
public static <C extends Comparable<? super C>> Range<C> openClosed(final C lower, final C upper) {
return range(lower, BoundType.OPEN, upper, BoundType.CLOSED);
}
public static <C> Range<C> openClosed(final C lower, final C upper, final Comparator<? super C> comparator) {
return range(lower, BoundType.OPEN, upper, BoundType.CLOSED, comparator);
}
public static <C extends Comparable<? super C>> Range<C> closedOpen(final C lower, final C upper) {
return range(lower, BoundType.CLOSED, upper, BoundType.OPEN);
}
public static <C> Range<C> closedOpen(final C lower, final C upper, final Comparator<? super C> comparator) {
return range(lower, BoundType.CLOSED, upper, BoundType.OPEN, comparator);
}
public static <C extends Comparable<? super C>> Range<C> closed(final C lower, final C upper) {
return range(lower, BoundType.CLOSED, upper, BoundType.CLOSED);
}
public static <C> Range<C> closed(final C lower, final C upper, final Comparator<? super C> comparator) {
return range(lower, BoundType.CLOSED, upper, BoundType.CLOSED, comparator);
}
public static <C extends Comparable<? super C>> Range<C> singleton(final C value) {
return range(value, BoundType.CLOSED, value, BoundType.CLOSED);
}
public static <C> Range<C> singleton(final C value, final Comparator<? super C> comparator) {
return range(value, BoundType.CLOSED, value, BoundType.CLOSED, comparator);
}
public static <C extends Comparable<? super C>> Range<C> empty() {
return range((C) null, BoundType.CLOSED, null, BoundType.CLOSED);
}
public static <C> Range<C> empty(final Comparator<? super C> comparator) {
return range((C) null, BoundType.CLOSED, null, BoundType.CLOSED, comparator);
}
public static <C extends Comparable<? super C>> Range<C> encloseAll(final Iterable<C> values) {
C lower = values.iterator().next();
C upper = lower;
for (final C i : values) {
if (lower.compareTo(i) > 0) lower = i;
if (upper.compareTo(i) < 0) upper = i;
}
return range(lower, BoundType.CLOSED, upper, BoundType.CLOSED);
}
public static <C> Range<C> encloseAll(final Iterable<C> values, final Comparator<? super C> comparator) {
C lower = values.iterator().next();
C upper = lower;
for (final C i : values) {
if (comparator.compare(lower, i) > 0) lower = i;
if (comparator.compare(upper, i) < 0) upper = i;
}
return range(lower, BoundType.CLOSED, upper, BoundType.CLOSED, comparator);
}
protected int compareLower(final C value) {
return compareLower(value, BoundType.CLOSED);
}
protected int compareLower(final C value, final BoundType boundType) {
return compareLower(lower, lowerType, value, boundType);
}
protected int compareLower(final C lower, final BoundType lowerType, final C value) {
return compareLower(lower, lowerType, value, BoundType.CLOSED);
}
protected int compareLower(final C lower, final BoundType lowerType, final C value, final BoundType boundType) {
if (lower == null) return value == null ? 0 : -1;
else if (value == null) return 1;
int compare;
if (comparator == null) {
@SuppressWarnings("unchecked")
final Comparable<C> comp = (Comparable<C>) lower;
compare = comp.compareTo(value);
} else compare = comparator.compare(lower, value);
if (compare == 0) {
if (lowerType == BoundType.CLOSED) --compare;
if (boundType == BoundType.CLOSED) ++compare;
}
return compare;
}
protected int compareUpper(final C value) {
return compareUpper(value, BoundType.CLOSED);
}
protected int compareUpper(final C value, final BoundType boundType) {
return compareUpper(upper, upperType, value, boundType);
}
protected int compareUpper(final C upper, final BoundType upperType, final C value) {
return compareUpper(upper, upperType, value, BoundType.CLOSED);
}
protected int compareUpper(final C upper, final BoundType upperType, final C value, final BoundType boundType) {
if (upper == null) return value == null ? 0 : 1;
if (value == null) return -1;
int compare;
if (comparator == null) {
@SuppressWarnings("unchecked")
final Comparable<C> comp = (Comparable<C>) upper;
compare = comp.compareTo(value);
} else compare = comparator.compare(upper, value);
if (compare == 0) {
if (upperType == BoundType.CLOSED) ++compare;
if (boundType == BoundType.CLOSED) --compare;
}
return compare;
}
public boolean hasLowerBound() {
return lower != null;
}
public C lowerEndpoint() {
if (hasLowerBound()) return lower;
throw new IllegalStateException();
}
public BoundType lowerBoundType() {
if (hasLowerBound()) return lowerType;
throw new IllegalStateException();
}
public boolean hasUpperBound() {
return upper != null;
}
public C upperEndpoint() {
if (hasUpperBound()) return upper;
throw new IllegalStateException();
}
public BoundType upperBoundType() {
if (hasUpperBound()) return upperType;
throw new IllegalStateException();
}
/**
* この区間が空集合か判定します。
*
* @return 空集合ならばtrue
*/
public boolean isEmpty() { return lower == null && upper == null && lowerType == BoundType.CLOSED; }
/**
* 与えられた引数が区間の左側に位置するか判定します。<br>
* 接する場合は区間の左側ではないと判定します。
*
* @param value 調べる引数
* @return 区間の左側に位置するならtrue
*/
public boolean isLess(final C value) {
return isLess(value, BoundType.CLOSED);
}
protected boolean isLess(final C value, final BoundType boundType) {
return compareLower(value, boundType) > 0;
}
/**
* 与えられた引数が区間の右側に位置するか判定します。<br>
* 接する場合は区間の右側ではないと判定します。
*
* @param value 調べる引数
* @return 区間の右側に位置するならtrue
*/
public boolean isGreater(final C value) {
return isGreater(value, BoundType.CLOSED);
}
private boolean isGreater(final C value, final BoundType boundType) {
return compareUpper(value, boundType) < 0;
}
/**
* 与えられた引数が区間内に位置するか判定します。<br>
* 接する場合も区間内に位置すると判定します。
*
* @param value 調べる引数
* @return 区間内に位置するならtrue
*/
public boolean contains(final C value) {
return !isLess(value) && !isGreater(value) && !isEmpty();
}
/**
* 与えられた引数すべてが区間内に位置するか判定します。<br>
* 接する場合も区間内に位置すると判定します。
*
* @param value 調べる要素
* @return 全ての要素が区間内に位置するならtrue
*/
public boolean containsAll(final Iterable<? extends C> values) {
for (final C i : values) if (!contains(i)) return false;
return true;
}
/**
* 与えられた区間がこの区間に内包されるか判定します。<br>
*
* @param other
* @return 与えられた区間がこの区間に内包されるならtrue
*/
public boolean encloses(final Range<C> other) {
return !isLess(other.lower, other.lowerType) && !isGreater(other.upper, other.upperType);
}
/**
* 与えられた区間がこの区間と公差するか判定します。<br>
* 接する場合は公差するものとします。
*
* @param value 調べる引数
* @return 区間が交差するならtrue
*/
public boolean isConnected(final Range<C> other) {
if (this.isEmpty() || other.isEmpty()) return false;
C lower, upper;
BoundType lowerType, upperType;
if (isLess(other.lower, other.lowerType)) {
lower = other.lower;
lowerType = other.lowerType;
} else {
lower = this.lower;
lowerType = this.lowerType;
}
if (isGreater(other.upper, other.upperType)) {
upper = other.upper;
upperType = other.upperType;
} else {
upper = this.upper;
upperType = this.upperType;
}
if (lower == null || upper == null) return true;
final int comp = compareLower(lower, lowerType, upper, upperType);
return comp <= 0;
}
/**
* この区間との積集合を返します。
*
* @param connectedRange 積集合を求める区間
* @return 積集合
*/
public Range<C> intersection(final Range<C> connectedRange) {
if (this.isEmpty() || connectedRange.isEmpty()) {
if (comparator == null) return new Range<>(null, BoundType.CLOSED, null, BoundType.CLOSED);
return empty(comparator);
}
C lower, upper;
BoundType lowerType, upperType;
if (isLess(connectedRange.lower, connectedRange.lowerType)) {
lower = connectedRange.lower;
lowerType = connectedRange.lowerType;
} else {
lower = this.lower;
lowerType = this.lowerType;
}
if (isGreater(connectedRange.upper, connectedRange.upperType)) {
upper = connectedRange.upper;
upperType = connectedRange.upperType;
} else {
upper = this.upper;
upperType = this.upperType;
}
if (comparator == null) { return new Range<>(lower, lowerType, upper, upperType); }
return range(lower, lowerType, upper, upperType, comparator);
}
/**
* この区間との和集合を返します。
*
* @param other 和集合を求める区間
* @return 和集合
*/
public Range<C> span(final Range<C> other) {
if (other.isEmpty()) return new Range<>(lower, lowerType, upper, upperType);
C lower, upper;
BoundType lowerType, upperType;
if (isLess(other.lower, other.lowerType)) {
lower = this.lower;
lowerType = this.lowerType;
} else {
lower = other.lower;
lowerType = other.lowerType;
}
if (isGreater(other.upper, other.upperType)) {
upper = this.upper;
upperType = this.upperType;
} else {
upper = other.upper;
upperType = other.upperType;
}
return new Range<>(lower, lowerType, upper, upperType, comparator);
}
/**
* 区間スケジューリングを行います。<br>
* 計算量は要素数Nに対してO(NlogN)です。
*
* @param ranges 区間の集合
* @return 区間スケジューリングを行った際の一つの解
*/
public static <C> List<Range<C>> scheduling(final List<Range<C>> ranges) {
final PriorityQueue<Range<C>> pq = new PriorityQueue<>((l, r) -> l.compareUpper(r.upper, r.upperType));
final List<Range<C>> ret = new ArrayList<>();
Range<C> last = pq.poll();
if (pq.isEmpty()) return ret;
ret.add(last);
while (!pq.isEmpty()) {
final Range<C> tmp = pq.poll();
if (tmp.compareLower(last.upper, last.upperType) > 0) {
ret.add(tmp);
last = tmp;
}
}
return ret;
}
@Override
public boolean equals(final Object object) {
if (this == object) return true;
if (object instanceof Range) {
@SuppressWarnings("unchecked")
final Range<C> comp = (Range<C>) object;
return compareLower(comp.lower, comp.lowerType) == 0 && compareUpper(comp.upper, comp.upperType) == 0
&& lowerType == comp.lowerType && upperType == comp.upperType;
}
return false;
}
@Override
public int hashCode() {
if (lower == null && upper == null) return 0;
else if (lower == null) return upper.hashCode();
else if (upper == null) return lower.hashCode();
return lower.hashCode() ^ upper.hashCode();
}
@Override
public String toString() {
if (isEmpty()) return "()";
return (lowerType == BoundType.OPEN ? "(" : "[") + (lower == null ? "" : lower.toString()) + ".."
+ (upper == null ? "" : upper.toString()) + (upperType == BoundType.OPEN ? ")" : "]");
}
}
public static class IterableRange<C> extends Range<C> implements Iterable<C> {
private static final long serialVersionUID = 9065915259748260688L;
protected UnaryOperator<C> func;
protected IterableRange(final C lower, final BoundType lowerType, final C upper, final BoundType upperType,
final UnaryOperator<C> func) {
super(lower, lowerType, upper, upperType);
this.func = func;
}
public static <C extends Comparable<? super C>> IterableRange<C> range(final C lower, final BoundType lowerType,
final C upper, final BoundType upperType, final UnaryOperator<C> func) {
if (lower == null || upper == null)
return new IterableRange<>(null, BoundType.CLOSED, null, BoundType.CLOSED, func);
final int comp = lower.compareTo(upper);
if (comp > 0) return new IterableRange<>(null, BoundType.CLOSED, null, BoundType.CLOSED, func);
else if (comp == 0 && (lowerType == BoundType.OPEN || upperType == BoundType.OPEN))
return new IterableRange<>(null, BoundType.CLOSED, null, BoundType.CLOSED, func);
return new IterableRange<>(lower, lowerType, upper, upperType, func);
}
public static <C extends Comparable<? super C>> IterableRange<C> open(final C lower, final C upper,
final UnaryOperator<C> func) {
if (lower == null) return new IterableRange<>(null, BoundType.CLOSED, null, BoundType.CLOSED, func);
return range(func.apply(lower), BoundType.CLOSED, upper, BoundType.OPEN, func);
}
public static <C extends Comparable<? super C>> IterableRange<C> openClosed(final C lower, final C upper,
final UnaryOperator<C> func) {
if (lower == null) return new IterableRange<>(null, BoundType.CLOSED, null, BoundType.CLOSED, func);
return range(func.apply(lower), BoundType.CLOSED, upper, BoundType.CLOSED, func);
}
public static <C extends Comparable<? super C>> IterableRange<C> closedOpen(final C lower, final C upper,
final UnaryOperator<C> func) {
return range(lower, BoundType.CLOSED, upper, BoundType.OPEN, func);
}
public static <C extends Comparable<? super C>> IterableRange<C> closed(final C lower, final C upper,
final UnaryOperator<C> func) {
return range(lower, BoundType.CLOSED, upper, BoundType.CLOSED, func);
}
public static <C extends Comparable<? super C>> IterableRange<C> singleton(final C value,
final UnaryOperator<C> func) {
return range(value, BoundType.CLOSED, value, BoundType.CLOSED, func);
}
protected class Iter implements Iterator<C> {
C now;
Iter() {
now = lower;
}
@Override
public final boolean hasNext() {
return !isGreater(now);
}
@Override
public final C next() {
final C ret = now;
now = func.apply(now);
return ret;
}
@Override
public final void remove() {
throw new UnsupportedOperationException();
}
}
protected class EmptyIter implements Iterator<C> {
@Override
public boolean hasNext() {
return false;
}
@Override
public C next() {
return null;
}
@Override
public final void remove() {
throw new UnsupportedOperationException();
}
}
@Override
public Iterator<C> iterator() {
return lower == null || upper == null ? new EmptyIter() : new Iter();
}
public int getDistance() {
C check = upper;
int ret = 0;
while (lower != check) {
check = func.apply(check);
++ret;
}
return ret;
}
}
public static class IntRange extends IterableRange<Integer> {
private static final long serialVersionUID = 5623995336491967216L;
private final boolean useFastIter;
private static class Next implements UnaryOperator<Integer> {
@Override
public Integer apply(final Integer value) {
return value + 1;
}
}
protected IntRange() {
super(null, BoundType.CLOSED, null, BoundType.CLOSED, new Next());
useFastIter = true;
}
protected IntRange(final UnaryOperator<Integer> func) {
super(null, BoundType.CLOSED, null, BoundType.CLOSED, func);
useFastIter = false;
}
protected IntRange(final int lower, final BoundType lowerType, final int upper, final BoundType upperType) {
super(lower, lowerType, upper, upperType, new Next());
useFastIter = true;
}
protected IntRange(final int lower, final BoundType lowerType, final int upper, final BoundType upperType,
final UnaryOperator<Integer> func) {
super(lower, lowerType, upper, upperType, func);
useFastIter = false;
}
public static IntRange range(int lower, final BoundType lowerType, int upper, final BoundType upperType) {
if (lower > upper) return new IntRange();
if (lowerType == BoundType.OPEN) ++lower;
if (upperType == BoundType.OPEN) --upper;
return new IntRange(lower, BoundType.CLOSED, upper, BoundType.CLOSED);
}
public static IntRange range(int lower, final BoundType lowerType, int upper, final BoundType upperType,
final UnaryOperator<Integer> func) {
if (lower > upper) return new IntRange(func);
if (lowerType == BoundType.OPEN) ++lower;
if (upperType == BoundType.OPEN) --upper;
return new IntRange(lower, BoundType.CLOSED, upper, BoundType.CLOSED, func);
}
public static IntRange open(final int lower, final int upper) {
return range(lower, BoundType.OPEN, upper, BoundType.OPEN);
}
public static IntRange open(final int lower, final int upper, final UnaryOperator<Integer> func) {
return range(lower, BoundType.OPEN, upper, BoundType.OPEN, func);
}
public static IntRange open(final int upper) {
return range(0, BoundType.CLOSED, upper, BoundType.OPEN);
}
public static IntRange open(final int upper, final UnaryOperator<Integer> func) {
return range(0, BoundType.CLOSED, upper, BoundType.OPEN, func);
}
public static IntRange openClosed(final int lower, final int upper) {
return range(lower, BoundType.OPEN, upper, BoundType.CLOSED);
}
public static IntRange openClosed(final int lower, final int upper, final UnaryOperator<Integer> func) {
return range(lower, BoundType.OPEN, upper, BoundType.CLOSED, func);
}
public static IntRange closedOpen(final int lower, final int upper) {
return range(lower, BoundType.CLOSED, upper, BoundType.OPEN);
}
public static IntRange closedOpen(final int lower, final int upper, final UnaryOperator<Integer> func) {
return range(lower, BoundType.CLOSED, upper, BoundType.OPEN, func);
}
public static IntRange closed(final int lower, final int upper) {
return range(lower, BoundType.CLOSED, upper, BoundType.CLOSED);
}
public static IntRange closed(final int lower, final int upper, final UnaryOperator<Integer> func) {
return range(lower, BoundType.CLOSED, upper, BoundType.CLOSED, func);
}
public static IntRange closed(final int upper) {
return range(0, BoundType.CLOSED, upper, BoundType.CLOSED);
}
public static IntRange closed(final int upper, final UnaryOperator<Integer> func) {
return range(0, BoundType.CLOSED, upper, BoundType.CLOSED, func);
}
public static IntRange singleton(final int value) {
return range(value, BoundType.CLOSED, value, BoundType.CLOSED);
}
public static IntRange singleton(final int value, final UnaryOperator<Integer> func) {
return range(value, BoundType.CLOSED, value, BoundType.CLOSED, func);
}
private class FastIter implements Iterator<Integer> {
int now;
public FastIter() {
now = lower;
}
@Override
public final boolean hasNext() {
return now <= upper;
}
@Override
public final Integer next() {
return now++;
}
@Override
public final void remove() {
throw new UnsupportedOperationException();
}
}
private class Iter implements Iterator<Integer> {
int now;
public Iter() {
now = lower;
}
@Override
public final boolean hasNext() {
return now <= upper;
}
@Override
public final Integer next() {
final int ret = now;
now = func.apply(now);
return ret;
}
@Override
public final void remove() {
throw new UnsupportedOperationException();
}
}
@Override
public Iterator<Integer> iterator() {
return lower == null || upper == null ? new EmptyIter() : useFastIter ? new FastIter() : new Iter();
}
@Override
public int getDistance() {
int ret = upper - lower;
if (upperType == BoundType.CLOSED) ++ret;
return ret;
}
public int getClosedLower() { return lower; }
public int getOpenLower() { return lower - 1; }
public int getClosedUpper() { return upperType == BoundType.CLOSED ? upper : upper - 1; }
public int getOpenUpper() { return upperType == BoundType.CLOSED ? upper + 1 : upper; }
/**
* 区間スケジューリングを行います。<br>
* 計算量は要素数Nに対してO(NlogN)です。
*
* @param ranges 区間の集合
* @return 区間スケジューリングを行った際の一つの解
*/
public static List<IntRange> intScheduling(final List<IntRange> ranges) {
final PriorityQueue<IntRange> pq = new PriorityQueue<>((l, r) -> l.compareUpper(r.upper, r.upperType));
pq.addAll(ranges);
final List<IntRange> ret = new ArrayList<>();
if (pq.isEmpty()) return ret;
IntRange last = pq.poll();
ret.add(last);
while (!pq.isEmpty()) {
final IntRange tmp = pq.poll();
if (tmp.compareLower(last.upper, last.upperType) > 0) {
ret.add(tmp);
last = tmp;
}
}
return ret;
}
}
/**
* 演算が結合法則を満たすことを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
*/
public interface Associative<T> extends BinaryOperator<T> {
/**
* repeat個のelementを順次演算した値を返します。
*
* @param element 演算する値
* @param repeat 繰り返す回数、1以上であること
* @return 演算を+として、element + element + ... + elementと演算をrepeat-1回行った値
*/
public default T hyper(final T element, int repeat) {
if (repeat < 1) throw new IllegalArgumentException("undefined operation");
T ret = element;
--repeat;
for (T mul = element; repeat > 0; repeat >>= 1, mul = apply(mul, mul))
if ((repeat & 1) != 0) ret = apply(ret, mul);
return ret;
}
}
/**
* この演算が逆元を持つことを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
*/
public interface Inverse<T> extends BinaryOperator<T> {
public T inverse(T element);
}
/**
* 演算が交換法則を満たすことを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
*/
public interface Commutative<T> extends BinaryOperator<T> {
}
/**
* 演算が単位元を持つことを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
*/
public interface Identity<T> extends BinaryOperator<T> {
/**
* 単位元を返します。
*
* @return 単位元
*/
public T identity();
}
/**
* 演算が群であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
*/
public interface Group<T> extends Monoid<T>, Inverse<T> {
/**
* repeat個のelementを順次演算した値を返します。
*
* @param element 演算する値
* @param repeat 繰り返す回数
* @return 演算を+として、element + element + ... + elementと演算をrepeat-1回行った値
*/
@Override
public default T hyper(final T element, int repeat) {
T ret = identity();
if (repeat < 0) {
repeat = -repeat;
for (T mul = element; repeat > 0; repeat >>= 1, mul = apply(mul, mul))
if ((repeat & 1) != 0) ret = apply(ret, mul);
return inverse(ret);
}
for (T mul = element; repeat > 0; repeat >>= 1, mul = apply(mul, mul))
if ((repeat & 1) != 0) ret = apply(ret, mul);
return ret;
}
}
/**
* 演算がモノイドであることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
*/
public interface Monoid<T> extends Associative<T>, Identity<T> {
/**
* repeat個のelementを順次演算した値を返します。
*
* @param element 演算する値
* @param repeat 繰り返す回数、0以上であること
* @return 演算を+として、element + element + ... + elementと演算をrepeat-1回行った値
*/
@Override
public default T hyper(final T element, int repeat) {
if (repeat < 0) throw new IllegalArgumentException("undefined operation");
T ret = identity();
for (T mul = element; repeat > 0; repeat >>= 1, mul = apply(mul, mul))
if ((repeat & 1) != 0) ret = apply(ret, mul);
return ret;
}
}
/**
* 演算が可換モノイドであることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
*/
public interface CommutativeMonoid<T> extends Monoid<T>, Commutative<T> {
}
/**
* 演算がアーベル群(可換群)であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
*/
public interface Abelian<T> extends Group<T>, CommutativeMonoid<T> {
}
/**
* 演算が半環であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
* @param <A> 和に関する演算
* @param <M> 積に関する演算
*/
public interface Semiring<T, A extends CommutativeMonoid<T>, M extends Monoid<T>> {
public A getAddition();
public M getMultiplication();
public default T add(final T left, final T right) {
return getAddition().apply(left, right);
}
public default T multiply(final T left, final T right) {
return getMultiplication().apply(left, right);
}
public default T additiveIdentity() {
return getAddition().identity();
}
public default T multipleIdentity() {
return getMultiplication().identity();
}
public default int characteristic() {
return 0;
}
}
/**
* 演算が環であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
* @param <A> 和に関する演算
* @param <M> 積に関する演算
*/
public interface Ring<T, A extends Abelian<T>, M extends Monoid<T>> extends Semiring<T, A, M> {
}
/**
* 演算が可換環に属することを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
* @param <A> 和に関する演算
* @param <M> 積に関する演算
*/
public interface CommutativeRing<T, A extends Abelian<T>, M extends CommutativeMonoid<T>> extends Ring<T, A, M> {
}
/**
* 演算が整域であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
* @param <A> 和に関する演算
* @param <M> 積に関する演算
*/
public interface IntegralDomain<T, A extends Abelian<T>, M extends CommutativeMonoid<T>>
extends CommutativeRing<T, A, M> {
public boolean isDivisible(T left, T right);
public T divide(T left, T right);
}
/**
* 演算が整閉整域であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
* @param <A> 和に関する演算
* @param <M> 積に関する演算
*/
public interface IntegrallyClosedDomain<T, A extends Abelian<T>, M extends CommutativeMonoid<T>>
extends IntegralDomain<T, A, M> {
}
/**
* 演算がGCD整域であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
* @param <A> 和に関する演算
* @param <M> 積に関する演算
*/
public interface GCDDomain<T, A extends Abelian<T>, M extends CommutativeMonoid<T>>
extends IntegrallyClosedDomain<T, A, M> {
public T gcd(T left, T right);
public T lcm(T left, T right);
}
/**
* 素元を提供します。
*
* @author 31536000
*
* @param <T> 演算の型
*/
public static class PrimeElement<T> {
public final T element;
public PrimeElement(final T element) {
this.element = element;
}
}
public interface MultiSet<E> extends Collection<E> {
public int add(E element, int occurrences);
public int count(Object element);
public Set<E> elementSet();
public boolean remove(Object element, int occurrences);
public int setCount(E element, int count);
public boolean setCount(E element, int oldCount, int newCount);
}
/**
* 演算が一意分解整域であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
* @param <A> 和に関する演算
* @param <M> 積に関する演算
*/
public interface UniqueFactorizationDomain<T, A extends Abelian<T>, M extends CommutativeMonoid<T>>
extends GCDDomain<T, A, M> {
public MultiSet<PrimeElement<T>> PrimeFactorization(T x);
}
/**
* 演算が主イデアル整域であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
* @param <A> 和に関する演算
* @param <M> 積に関する演算
*/
public interface PrincipalIdealDomain<T, A extends Abelian<T>, M extends CommutativeMonoid<T>>
extends UniqueFactorizationDomain<T, A, M> {
}
/**
* 演算がユークリッド整域であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
* @param <A> 和に関する演算
* @param <M> 積に関する演算
*/
public interface EuclideanDomain<T, A extends Abelian<T>, M extends CommutativeMonoid<T>>
extends PrincipalIdealDomain<T, A, M> {
public T reminder(T left, T right);
}
/**
* 演算が体であることを示すために使用するマーカー・インターフェースです。
*
* @author 31536000
*
* @param <T> 二項演算の型
* @param <A> 和に関する演算
* @param <M> 積に関する演算
*/
public interface Field<T, A extends Abelian<T>, M extends Abelian<T>> extends EuclideanDomain<T, A, M> {
@Override
public default boolean isDivisible(final T left, final T right) {
return !right.equals(additiveIdentity());
}
@Override
public default T divide(final T left, final T right) {
if (isDivisible(left, right)) throw new ArithmeticException("divide by Additive Identify");
return multiply(left, getMultiplication().inverse(right));
}
@Override
public default T reminder(final T left, final T right) {
if (isDivisible(left, right)) throw new ArithmeticException("divide by Additive Identify");
return additiveIdentity();
}
@Override
public default T gcd(final T left, final T right) {
return multipleIdentity();
}
@Override
public default T lcm(final T left, final T right) {
return multipleIdentity();
}
@Override
public default MultiSet<PrimeElement<T>> PrimeFactorization(final T x) {
final HashMultiSet<PrimeElement<T>> ret = HashMultiSet.create(1);
ret.add(new PrimeElement<>(x));
return ret;
}
}
public static class HashMultiSet<E> implements MultiSet<E>, Serializable {
private static final long serialVersionUID = -8378919645386251159L;
private final transient HashMap<E, Integer> map;
private transient int size;
private HashMultiSet() {
map = new HashMap<>();
size = 0;
}
private HashMultiSet(final int distinctElements) {
map = new HashMap<>(distinctElements);
size = 0;
}
public static <E> HashMultiSet<E> create() {
return new HashMultiSet<>();
}
public static <E> HashMultiSet<E> create(final int distinctElements) {
return new HashMultiSet<>(distinctElements);
}
public static <E> HashMultiSet<E> create(final Iterable<? extends E> elements) {
final HashMultiSet<E> ret = new HashMultiSet<>();
for (final E i : elements) ret.map.compute(i, (v, e) -> e == null ? 1 : ++e);
return ret;
}
@Override
public int size() {
return size;
}
@Override
public boolean isEmpty() { return size == 0; }
@Override
public boolean contains(final Object o) {
return map.containsKey(o);
}
private class Iter implements Iterator<E> {
private final Iterator<Entry<E, Integer>> iter = map.entrySet().iterator();
private E value;
private int count = 0;
@Override
public boolean hasNext() {
if (count > 0) return true;
if (iter.hasNext()) {
final Entry<E, Integer> entry = iter.next();
value = entry.getKey();
count = entry.getValue();
return true;
}
return false;
}
@Override
public E next() {
--count;
return value;
}
}
@Override
public Iterator<E> iterator() {
return new Iter();
}
@Override
public Object[] toArray() {
final Object[] ret = new Object[size];
int read = 0;
for (final Entry<E, Integer> i : map.entrySet()) Arrays.fill(ret, read, read += i.getValue(), i.getKey());
return ret;
}
@Override
public <T> T[] toArray(final T[] a) {
final Object[] src = toArray();
if (a.length < src.length) {
@SuppressWarnings("unchecked")
final T[] ret = (T[]) Arrays.copyOfRange(src, 0, src.length, a.getClass());
return ret;
}
System.arraycopy(src, 0, a, 0, src.length);
return a;
}
@Override
public boolean add(final E e) {
add(e, 1);
return true;
}
@Override
public boolean remove(final Object o) {
return remove(o, 1);
}
@Override
public boolean containsAll(final Collection<?> c) {
boolean ret = true;
for (final Object i : c) ret |= contains(i);
return ret;
}
@Override
public boolean addAll(final Collection<? extends E> c) {
boolean ret = false;
for (final E i : c) ret |= add(i);
return ret;
}
@Override
public boolean removeAll(final Collection<?> c) {
boolean ret = false;
for (final Object i : c) ret |= remove(i);
return ret;
}
@Override
public boolean retainAll(final Collection<?> c) {
return removeAll(c);
}
@Override
public void clear() {
map.clear();
size = 0;
}
@Override
public int add(final E element, final int occurrences) {
size += occurrences;
return map.compute(element, (k, v) -> v == null ? occurrences : v + occurrences) - occurrences;
}
@Override
public int count(final Object element) {
return map.getOrDefault(element, 0);
}
@Override
public Set<E> elementSet() {
return map.keySet();
}
public Set<Entry<E, Integer>> entrySet() {
return map.entrySet();
}
@Override
public boolean remove(final Object element, final int occurrences) {
try {
@SuppressWarnings("unchecked")
final E put = (E) element;
return map.compute(put, (k, v) -> {
if (v == null) return null;
if (v < occurrences) {
size -= v;
return null;
}
size -= occurrences;
return v - occurrences;
}) != null;
} catch (final ClassCastException E) {
return false;
}
}
@Override
public int setCount(final E element, final int count) {
final Integer ret = map.put(element, count);
final int ret2 = ret == null ? 0 : ret;
size += count - ret2;
return ret2;
}
@Override
public boolean setCount(final E element, final int oldCount, final int newCount) {
final boolean ret = map.replace(element, oldCount, newCount);
if (ret) size += newCount - oldCount;
return ret;
}
}
public static class ModInteger extends Number
implements Field<ModInteger, Abelian<ModInteger>, Abelian<ModInteger>> {
private static final long serialVersionUID = -8595710127161317579L;
private final int mod;
private int num;
private final Addition add;
private final Multiplication mul;
private class Addition implements Abelian<ModInteger> {
@Override
public ModInteger identity() {
return new ModInteger(mod, 0);
}
@Override
public ModInteger inverse(final ModInteger element) {
return new ModInteger(element, element.mod - element.num);
}
@Override
public ModInteger apply(final ModInteger left, final ModInteger right) {
return new ModInteger(left).addEqual(right);
}
}
private class Multiplication implements Abelian<ModInteger> {
@Override
public ModInteger identity() {
return new ModInteger(mod, 1);
}
@Override
public ModInteger apply(final ModInteger left, final ModInteger right) {
return new ModInteger(left).multiplyEqual(right);
}
@Override
public ModInteger inverse(final ModInteger element) {
return new ModInteger(element, element.inverse(element.num));
}
}
@Override
public int characteristic() {
return mod;
}
public ModInteger(final int mod) {
this.mod = mod;
num = 0;
add = new Addition();
mul = new Multiplication();
}
public ModInteger(final int mod, final int num) {
this.mod = mod;
this.num = validNum(num);
add = new Addition();
mul = new Multiplication();
}
public ModInteger(final ModInteger n) {
mod = n.mod;
num = n.num;
add = n.add;
mul = n.mul;
}
private ModInteger(final ModInteger n, final int num) {
mod = n.mod;
this.num = num;
add = n.add;
mul = n.mul;
}
private int validNum(int n) {
n %= mod;
if (n < 0) n += mod;
return n;
}
private int validNum(long n) {
n %= mod;
if (n < 0) n += mod;
return (int) n;
}
protected int inverse(int n) {
int m = mod, u = 0, v = 1, t;
while (n != 0) {
t = m / n;
m -= t * n;
u -= t * v;
if (m != 0) {
t = n / m;
n -= t * m;
v -= t * u;
} else {
v %= mod;
if (v < 0) v += mod;
return v;
}
}
u %= mod;
if (u < 0) u += mod;
return u;
}
public boolean isPrime(final int n) {
if ((n & 1) == 0) return false; // 偶数
for (int i = 3, j = 8, k = 9; k <= n; i += 2, k += j += 8) if (n % i == 0) return false;
return true;
}
@Override
public int intValue() {
return num;
}
@Override
public long longValue() {
return num;
}
@Override
public float floatValue() {
return num;
}
@Override
public double doubleValue() {
return num;
}
protected ModInteger getNewInstance(final ModInteger mod) {
return new ModInteger(mod);
}
public ModInteger add(final int n) {
return getNewInstance(this).addEqual(n);
}
public ModInteger add(final long n) {
return getNewInstance(this).addEqual(n);
}
public ModInteger add(final ModInteger n) {
return getNewInstance(this).addEqual(n);
}
public ModInteger addEqual(final int n) {
num = validNum(num + n);
return this;
}
public ModInteger addEqual(final long n) {
num = validNum(num + n);
return this;
}
public ModInteger addEqual(final ModInteger n) {
if ((num += n.num) >= mod) num -= mod;
return this;
}
public ModInteger subtract(final int n) {
return getNewInstance(this).subtractEqual(n);
}
public ModInteger subtract(final long n) {
return getNewInstance(this).subtractEqual(n);
}
public ModInteger subtract(final ModInteger n) {
return getNewInstance(this).subtractEqual(n);
}
public ModInteger subtractEqual(final int n) {
num = validNum(num - n);
return this;
}
public ModInteger subtractEqual(final long n) {
num = validNum(num - n);
return this;
}
public ModInteger subtractEqual(final ModInteger n) {
if ((num -= n.num) < 0) num += mod;
return this;
}
public ModInteger multiply(final int n) {
return getNewInstance(this).multiplyEqual(n);
}
public ModInteger multiply(final long n) {
return getNewInstance(this).multiplyEqual(n);
}
public ModInteger multiply(final ModInteger n) {
return getNewInstance(this).multiplyEqual(n);
}
public ModInteger multiplyEqual(final int n) {
num = (int) ((long) num * n % mod);
if (num < 0) num += mod;
return this;
}
public ModInteger multiplyEqual(final long n) {
return multiplyEqual((int) (n % mod));
}
public ModInteger multiplyEqual(final ModInteger n) {
num = (int) ((long) num * n.num % mod);
return this;
}
public ModInteger divide(final int n) {
return getNewInstance(this).divideEqual(n);
}
public ModInteger divide(final long n) {
return getNewInstance(this).divideEqual(n);
}
public ModInteger divide(final ModInteger n) {
return getNewInstance(this).divideEqual(n);
}
public ModInteger divideEqual(final int n) {
num = (int) ((long) num * inverse(validNum(n)) % mod);
return this;
}
public ModInteger divideEqual(final long n) {
return divideEqual((int) (n % mod));
}
public ModInteger divideEqual(final ModInteger n) {
num = (int) ((long) num * n.inverse(n.num) % mod);
return this;
}
public ModInteger pow(final int n) {
return getNewInstance(this).powEqual(n);
}
public ModInteger pow(final long n) {
return getNewInstance(this).powEqual(n);
}
public ModInteger pow(final ModInteger n) {
return getNewInstance(this).powEqual(n);
}
public ModInteger powEqual(int n) {
long ans = 1, num = this.num;
if (n < 0) {
n = -n;
while (n != 0) {
if ((n & 1) != 0) ans = ans * num % mod;
n >>>= 1;
num = num * num % mod;
}
this.num = inverse((int) ans);
return this;
}
while (n != 0) {
if ((n & 1) != 0) ans = ans * num % mod;
n >>>= 1;
num = num * num % mod;
}
this.num = (int) ans;
return this;
}
public ModInteger powEqual(final long n) {
return powEqual((int) (n % (mod - 1)));
}
public ModInteger powEqual(final ModInteger n) {
long num = this.num;
this.num = 1;
int mul = n.num;
while (mul != 0) {
if ((mul & 1) != 0) this.num *= num;
mul >>>= 1;
num *= num;
num %= mod;
}
return this;
}
public ModInteger equal(final int n) {
num = validNum(n);
return this;
}
public ModInteger equal(final long n) {
num = validNum(n);
return this;
}
public ModInteger equal(final ModInteger n) {
num = n.num;
return this;
}
public int toInt() {
return num;
}
public int getMod() { return mod; }
@Override
public boolean equals(final Object x) {
if (x instanceof ModInteger) return ((ModInteger) x).num == num && ((ModInteger) x).mod == mod;
return false;
}
@Override
public int hashCode() {
return num ^ mod;
}
@Override
public String toString() {
return String.valueOf(num);
}
@Deprecated
public String debug() {
int min = num, ans = 1;
for (int i = 2; i < min; ++i) {
final int tmp = multiply(i).num;
if (min > tmp) {
min = tmp;
ans = i;
}
}
return min + "/" + ans;
}
@Override
public Addition getAddition() { return add; }
@Override
public Multiplication getMultiplication() { return mul; }
}
/**
* 素数を法とする演算上で、組み合わせの計算を高速に行います。
*
* @author 31536000
*
*/
public static class ModUtility {
private final int mod;
private int[] fact, inv, invfact;
/**
* modを法として、演算を行います。
*
* @param mod 法とする素数
*/
public ModUtility(final Prime mod) {
this(mod, 2);
}
/**
* modを法として、演算を行います。
*
* @param mod 法とする素数
* @param calc 予め前計算しておく大きさ
*/
public ModUtility(final Prime mod, final int calc) {
this.mod = mod.prime;
precalc(calc);
}
/**
* calcの大きさだけ、前計算を行います。
*
* @param calc 前計算をする大きさ
*/
public void precalc(int calc) {
++calc;
if (calc < 2) calc = 2;
if (calc > mod) calc = mod;
fact = new int[calc];
inv = new int[calc];
invfact = new int[calc];
fact[0] = invfact[0] = fact[1] = invfact[1] = inv[1] = 1;
for (int i = 2; i < calc; ++i) {
fact[i] = (int) ((long) fact[i - 1] * i % mod);
inv[i] = (int) (mod - (long) inv[mod % i] * (mod / i) % mod);
invfact[i] = (int) ((long) invfact[i - 1] * inv[i] % mod);
}
}
/**
* modを法とする剰余環上で振舞う整数を返します。
*
* @return modを法とする整数、初期値は0
*/
public ModInteger create() {
return new ModInt();
}
/**
* modを法とする剰余環上で振舞う整数を返します。
*
* @param n 初期値
* @return modを法とする整数
*/
public ModInteger create(final int n) {
return new ModInt(n);
}
private class ModInt extends ModInteger {
private static final long serialVersionUID = -2435281861935422575L;
public ModInt() {
super(mod);
}
public ModInt(final int n) {
super(mod, n);
}
public ModInt(final ModInteger mod) {
super(mod);
}
@Override
protected ModInteger getNewInstance(final ModInteger mod) {
return new ModInt(mod);
}
@Override
protected int inverse(final int n) {
return ModUtility.this.inverse(n);
}
}
/**
* modを法として、nの逆元を返します。<br>
* 計算量はO(log n)です。
*
* @param n 逆元を求めたい値
* @return 逆元
*/
public int inverse(int n) {
try {
if (inv.length > n) return inv[n];
int m = mod, u = 0, v = 1, t;
while (n != 0) {
t = m / n;
m -= t * n;
u -= t * v;
if (m != 0) {
t = n / m;
n -= t * m;
v -= t * u;
} else {
v %= mod;
if (v < 0) v += mod;
return v;
}
}
u %= mod;
if (u < 0) u += mod;
return u;
} catch (final ArrayIndexOutOfBoundsException e) {
throw new IllegalArgumentException();
}
}
/**
* n!を、modを法として求めた値を返します。<br>
* 計算量はO(n)です。
*
* @param n 階乗を求めたい値
* @return nの階乗をmodで割った余り
*/
public int factorial(final int n) {
try {
if (fact.length > n) return fact[n];
long ret = fact[fact.length - 1];
for (int i = fact.length; i <= n; ++i) ret = ret * i % mod;
return (int) ret;
} catch (final ArrayIndexOutOfBoundsException e) {
throw new IllegalArgumentException();
}
}
/**
* nPkをmodで割った余りを求めます。<br>
* 計算量はO(n-k)です。
*
* @param n 左辺
* @param k 右辺
* @return nPkをmodで割った余り
*/
public int permutation(final int n, final int k) {
if (n < 0) throw new IllegalArgumentException();
if (n < k) return 0;
if (fact.length > n) return (int) ((long) fact[n] * invfact[n - k] % mod);
long ret = 1;
for (int i = n - k + 1; i <= n; ++i) ret = ret * i % mod;
return (int) ret;
}
/**
* nCkをmodで割った余りを求めます。<br>
* 計算量はO(min(plogn, n-k))です。
*
* @param n 左辺
* @param k 右辺
* @return nCkをmodで割った余り
*/
public int combination(int n, int k) {
if (n < 0) throw new IllegalArgumentException();
if (n < k) return 0;
if (fact.length > n) return (int) ((long) fact[n] * invfact[k] % mod * invfact[n - k] % mod);
long ret = 1;
if (n >= mod) {
if (mod == 2) return (~n & k) == 0 ? 1 : 0;
while (n > 0) {
ret = ret * combination(n % mod, k % mod) % mod;
n /= mod;
k /= mod;
}
return (int) ret;
}
if (n < 2 * k) k = n - k;
ret = invfact.length > k ? invfact[k] : inverse(factorial(k));
for (int i = n - k + 1; i <= n; ++i) ret = ret * i % mod;
return (int) ret;
}
/**
* 他項係数をmodで割った余りを求めます。<br>
* ] 計算量はO(n)です。
*
* @param n 左辺
* @param k 右辺、合計がn以下である必要がある
* @return 他項係数
*/
public int multinomial(final int n, final int... k) {
int sum = 0;
long ret = factorial(n);
if (fact.length > n) {
for (final int i : k) {
if (i < 0) throw new IllegalArgumentException();
ret = ret * invfact[i] % mod;
sum += i;
}
if (sum > n) return 0;
ret = ret * invfact[n - sum] % mod;
} else {
for (final int i : k) {
if (i < 0) throw new IllegalArgumentException();
if (invfact.length > i) ret = ret * invfact[i] % mod;
else ret = ret * inverse(factorial(i)) % mod;
sum += i;
}
if (sum > n) return 0;
if (invfact.length > n - sum) ret = ret * invfact[n - sum] % mod;
else ret = ret * inverse(factorial(n - sum)) % mod;
}
return (int) ret;
}
/**
* n個からk個を選ぶ重複組み合わせnHkをmodで割った余りを求めます。<br>
* 計算量はO(min(n, k))です。
*
* @param n 左辺
* @param k 右辺
* @return nHkをmodで割った余り
*/
public int multichoose(final int n, final int k) {
return combination(mod(n + k - 1), k);
}
/**
* カタラン数C(n)をmodで割った余りを求めます。<br>
* 計算量はO(n)です。
*
* @param n 求めたいカタラン数の番号
* @return カタラン数
*/
public int catalan(final int n) {
return divide(combination(mod(2 * n), n), mod(n + 1));
}
/**
* 第一種スターリング数S(n, k)をmodで割った余りを求めます。<br>
* 計算量はO(nk)です。 // TODO NTTを使うとO(n log n)、未実装
*
* @param n 左辺
* @param k 右辺
* @return S(n, k)をmodで割った余り
*/
public int firstStirling(final int n, final int k) {
final int[] stirling = new int[(n + 1) * (k + 1)];
stirling[0] = 1;
final int h = k + 1;
for (int i = 0; i < n; ++i) {
for (int j = 0; j < k; ++j) {
final int tmp = stirling[i * h + j] + (int) ((long) i * stirling[i * h + j + 1] % mod);
stirling[(i + 1) * h + j + 1] = tmp >= mod ? tmp - mod : tmp;
}
}
return stirling[stirling.length - 1];
}
/**
* 第二種スターリング数S(n, k)をmodで割った余りを求めます。<br>
* 計算量はO(k)です。
*
* @param n 左辺
* @param k 右辺
* @return S(n, k)をmodで割った余り
*/
public int secondStirling(final int n, final int k) {
if (k == 0) return n == 0 ? 1 : 0;
final int[] sieve = new int[k + 1], prime = new int[k + 1];
int size = 0;
sieve[1] = 1;
for (int i = 2; i <= k; ++i) {
if (sieve[i] == 0) prime[size++] = sieve[i] = i;
for (int j = 0, s; j < size && prime[j] <= sieve[i] && (s = i * prime[j]) <= k; ++j)
sieve[s] = prime[j];
}
long ans = 0;
for (int i = 1, s; i <= k; ++i) {
final long tmp = (long) combination(k, i)
* (prime[i] = (s = sieve[i]) == i ? pow(i, n) : (int) ((long) prime[s] * prime[i / s] % mod))
% mod;
ans += (k - i & 1) != 0 ? -tmp : tmp;
}
return (int) ((long) mod(ans) * invfact[k] % mod);
}
/**
* ベル数B(n, k)をmodで割った余りを求めます。<br>
* 計算量はO(k)です。
*
* @param n 左辺
* @param k 右辺
* @return B(n, k)をmodで割った余り
*/
public int bell(final int n, final int k) {
if (k == 0) return n == 0 ? 1 : 0;
final int[] sieve = new int[k + 1], prime = new int[k + 1];
int size = 0;
sieve[1] = 1;
long sum = 0;
for (int i = 2; i <= k; ++i) {
if (sieve[i] == 0) prime[size++] = sieve[i] = i;
for (int j = 0, s; j < size && prime[j] <= sieve[i] && (s = i * prime[j]) <= k; ++j)
sieve[s] = prime[j];
sum += (i & 1) != 0 ? -invfact[i] : invfact[i];
}
sum = mod(sum);
long ans = 0;
for (int i = 0, s; i <= k; ++i) {
final long tmp = (long) (prime[i] = (s = sieve[i]) == i ? pow(i, n)
: (int) ((long) prime[s] * prime[i / s] % mod)) * invfact[i] % mod;
ans += tmp * sum % mod;
if ((sum -= (k - i & 1) != 0 ? -invfact[k - i] : invfact[k - i]) < 0) sum += mod;
}
return mod(ans);
}
/**
* ベル数B(n)をmodで割った余りを求めます。<br>
* 計算量はO(n)です。
*
* @param n 求めたいベル数の番号
* @return B(n)
*/
public int bell(final int n) {
return bell(n, n);
}
/**
* 分割数P(n, k)をmodで割った余りを求めます。<br>
* 計算量はO(nk)です。 // TODO NTTを使うとO(n log n)、未実装
*
* @param n 左辺
* @param k 右辺
* @return P(n, k)をmodで割った余り
*/
public int pertition(final int n, final int k) {
final int[] pertition = new int[(n + 1) * (k + 1)];
pertition[0] = 1;
final int h = k + 1;
for (int i = 0; i <= n; ++i) {
for (int j = 1, l = Math.min(i, k); j <= l; ++j)
pertition[i * h + j] = pertition[i * h + j - 1] + pertition[(i - j) * h + j];
for (int j = i; j < k; ++j) pertition[i * h + j + 1] = pertition[i * h + j];
}
return pertition[n * h + k];
}
/**
* 分割数P(n)をmodで割った余りを求めます。<br>
* 計算量はO(n sqrt(n))です。 // TODO NTTを使うとO(n log n)、未実装
*
* @param n 求めたい分割数の番号
* @return P(n)
*/
public int pertition(final int n) {
final long[] pertition = new long[n + 1];
pertition[0] = 1;
for (int i = 1; i <= n; ++i) {
for (int j = 1, t; (t = i - (j * (3 * j - 1) >> 1)) >= 0; ++j) {
pertition[i] += (j & 1) != 0 ? pertition[t] : -pertition[t];
}
for (int j = 1, t; (t = i - (j * (3 * j + 1) >> 1)) >= 0; ++j) {
pertition[i] += (j & 1) != 0 ? pertition[t] : -pertition[t];
}
pertition[i] %= mod;
}
return (int) pertition[n];
}
/**
* nのm乗をmodで割った余りを求めます。<br>
* 計算量はO(log m)です。
*
* @param n 床
* @param m 冪指数
* @return n^mをmodで割った余り
*/
public int pow(final int n, int m) {
long ans = 1, num = n;
if (m < 0) {
m = -m;
while (m != 0) {
if ((m & 1) != 0) ans = ans * num % mod;
m >>>= 1;
num = num * num % mod;
}
return inverse((int) ans);
}
while (m != 0) {
if ((m & 1) != 0) ans = ans * num % mod;
m >>>= 1;
num = num * num % mod;
}
return (int) ans;
}
/**
* nのm乗をmodで割った余りを求めます。<br>
* 計算量はO(log m)です。
*
* @param n 床
* @param m 冪指数
* @return n^mをmodで割った余り
*/
public int pow(final long n, final long m) {
return pow((int) (n % mod), (int) (m % (mod - 1)));
}
/**
* 現在のmod値のトーシェント数を返します。<br>
* なお、これはmod-1に等しいです。
*
* @return トーシェント数
*/
public int totient() {
return mod - 1;
}
/**
* nのトーシェント数を返します。<br>
* 計算量はO(sqrt n)です。
*
* @param n トーシェント数を求めたい値
* @return nのトーシェント数
*/
public static int totient(int n) {
int totient = n;
for (int i = 2; i * i <= n; ++i) {
if (n % i == 0) {
totient = totient / i * (i - 1);
while ((n %= i) % i == 0);
}
}
if (n != 1) totient = totient / n * (n - 1);
return totient;
}
/**
* nをmodで割った余りを返します。
*
* @param n 演算する値
* @return nをmodで割った余り
*/
public int mod(int n) {
return (n %= mod) < 0 ? n + mod : n;
}
/**
* nをmodで割った余りを返します。
*
* @param n 演算する値
* @return nをmodで割った余り
*/
public int mod(long n) {
return (int) ((n %= mod) < 0 ? n + mod : n);
}
/**
* nをmodで割った余りを返します。
*
* @param n 演算する値
* @return nをmodで割った余り
*/
public int mod(final PrimeFactor n) {
int ret = 1;
for (final Entry<Prime, Integer> i : n.primeFactor.entrySet())
ret = multiply(ret, pow(i.getKey().prime, i.getValue()));
return ret;
}
/**
* n+mをmodで割った余りを返します。
*
* @param n 足される値
* @param m 足す値
* @return n+mをmodで割った余り
*/
public int add(final int n, final int m) {
return mod(n + m);
}
/**
* n-mをmodで割った余りを返します。
*
* @param n 引かれる値
* @param m 引く値
* @return n-mをmodで割った余り
*/
public int subtract(final int n, final int m) {
return mod(n - m);
}
/**
* n*mをmodで割った余りを返します。
*
* @param n 掛けられる値
* @param m 掛ける値
* @return n*mをmodで割った余り
*/
public int multiply(final int n, final int m) {
final int ans = (int) ((long) n * m % mod);
return ans < 0 ? ans + mod : ans;
}
/**
* n/mをmodで割った余りを返します。
*
* @param n 割られる値
* @param m 割る値
* @return n/mをmodで割った余り
*/
public int divide(final int n, final int m) {
return multiply(n, inverse(m));
}
/**
* fを通ることが分かっているfの要素数-1次の関数について、xの位置における値をmodで割った余りを返します。<br>
* 計算量はO(f)です。
*
* @param f 関数の形
* @param x 求める位置
* @return 求めたい値をmodで割った余り
*/
public ModInteger lagrangePolynomial(final ModInteger[] f, final int x) {
if (f.length > x) return f[x];
if (x > fact.length) precalc(x);
final ModInteger ret = create(0);
final ModInteger[] dp = new ModInteger[f.length], dp2 = new ModInteger[f.length];
dp[0] = create(1);
dp2[f.length - 1] = create(1);
for (int i = 1; i < f.length; ++i) {
dp[i] = dp[i - 1].multiply(x - i - 1);
dp2[f.length - i - 1] = dp2[f.length - i].multiply(x - f.length + i);
}
for (int i = 0; i < f.length; ++i) {
final ModInteger tmp = f[i].multiply(dp[i]).multiplyEqual(dp2[i]).multiplyEqual(inv[i])
.multiplyEqual(inv[f.length - 1 - i]);
if ((f.length - i & 1) == 0) ret.addEqual(tmp);
else ret.subtractEqual(tmp);
}
return ret;
}
/**
* 与えられた配列に対し、その配列を並び替えることで構成できる配列の集合をSとします。
* このとき、arrayがSを辞書順に並べると何番目かを求めます。
* @complexity N=array.length として O(N log N)
* @param array 辞書順で何番目か求めたい配列
* @return arrayが辞書順で何番目か
*/
public ModInteger permutationNumber(int[] array) {
int[] compress = ArrayUtility.compress(array);
int[] bucket = new int[array.length];
for (int i : compress) ++bucket[i];
int sum = multinomial(array.length, bucket);
int[] bit = new int[array.length + 1];
for (int i = 0; i < array.length; ++i)
for (int j = i + 1, add = bucket[i]; j < bit.length; j += j & -j) bit[j] += add;
int ans = 1;
for (int i = 0; i < array.length; ++i) {
sum = divide(sum, array.length - i);
int comp = compress[i];
int min = 0;
for (int j = comp; j != 0; j -= j & -j) min += bit[j];
ans = add(ans, multiply(sum, min));
sum = multiply(sum, bucket[comp]--);
for (int j = comp + 1; j < bit.length; j += j & -j) --bit[j];
}
return create(ans);
}
}
/**
* 区間における素数を保持する関数です。
*
* @author 31536000
*
*/
public static class SegmentPrime {
private final Prime[] divisor;
private final int offset;
private SegmentPrime(final Prime[] divisor, final int offset) {
this.divisor = divisor;
this.offset = offset;
}
/**
* このクラスが持つ区間の範囲を返します。
*
* @return 素数を保持している区間
*/
public IntRange getRange() { return IntRange.closedOpen(offset, offset + divisor.length); }
/**
* 素数かどうかを判定します。
*
* @param n 素数かどうか判定したい数
* @return 素数ならばtrue
*/
public boolean isPrime(final int n) {
return n <= 1 ? false : divisor[n - offset].prime == n;
}
/**
* 与えられた数を素因数分解します。<br>
* 計算量はO(log n)です。
*
* @param n 素因数分解したい数
* @return 素因数分解した結果
*/
public PrimeFactor getPrimeFactor(int n) {
if (n < 1) throw new IllegalArgumentException("not positive number");
final Map<Prime, Integer> map = new HashMap<>();
while (n > 1) {
final Prime d = divisor[n - offset];
map.compute(d, (k, v) -> v == null ? 1 : v + 1);
n /= d.prime;
}
return new PrimeFactor(map);
}
@Override
public String toString() {
return "SegmentPrime: [" + offset + ", " + (offset + divisor.length) + ")";
}
}
/**
* 整数の素因数分解表現を保持します。
*
* @author 31536000
*
*/
public static class PrimeFactor extends Number {
private static final long serialVersionUID = 1363575672283884773L;
public Map<Prime, Integer> primeFactor;
private PrimeFactor(final Map<Prime, Integer> n) {
primeFactor = n;
}
/**
* 素因数分解のリスト表現を返します。
*
* @return 素因数分解のリスト
*/
public List<Integer> getFactorizationList() {
final List<Integer> ret = new ArrayList<>();
for (final Entry<Prime, Integer> i : primeFactor.entrySet()) {
final int p = i.getKey().prime, n = i.getValue();
for (int j = 0; j < n; ++j) ret.add(p);
}
return ret;
}
/**
* nとgcdを取った値を保持します。
*
* @param n gcdを取りたい値
*/
public void gcd(final PrimeFactor n) {
for (final Entry<Prime, Integer> i : n.primeFactor.entrySet())
primeFactor.computeIfPresent(i.getKey(), (k, v) -> Math.min(v, i.getValue()));
}
/**
* gcd(n, m)を返します。
*
* @param n gcdを取りたい値
* @param m gcdを取りたい値
* @return gcd(n, m)
*/
public static PrimeFactor gcd(final PrimeFactor n, final PrimeFactor m) {
final Map<Prime, Integer> ret = new HashMap<>(n.primeFactor);
for (final Entry<Prime, Integer> i : m.primeFactor.entrySet())
ret.computeIfPresent(i.getKey(), (k, v) -> Math.min(v, i.getValue()));
return new PrimeFactor(ret);
}
/**
* nとlcmを取った値を保持します。
*
* @param n lcmを取りたい値
*/
public void lcm(final PrimeFactor n) {
for (final Entry<Prime, Integer> i : n.primeFactor.entrySet())
primeFactor.merge(i.getKey(), i.getValue(), (v1, v2) -> Math.max(v1, v2));
}
/**
* lcm(n, m)を返します。
*
* @param n lcmを取りたい値
* @param m lcmを取りたい値
* @return lcm(n, m)
*/
public static PrimeFactor lcm(final PrimeFactor n, final PrimeFactor m) {
final Map<Prime, Integer> ret = new HashMap<>(n.primeFactor);
for (final Entry<Prime, Integer> i : m.primeFactor.entrySet())
ret.merge(i.getKey(), i.getValue(), (v1, v2) -> Math.max(v1, v2));
return new PrimeFactor(ret);
}
private static int pow(final int p, int n) {
int ans = 1;
for (int mul = p; n > 0; n >>= 1, mul *= mul) if ((n & 1) != 0) ans *= mul;
return ans;
}
private static long pow(final long p, long n) {
long ans = 1;
for (long mul = p; n > 0; n >>= 1, mul *= mul) if ((n & 1) != 0) ans *= mul;
return ans;
}
public BigInteger getValue() {
BigInteger ret = BigInteger.ONE;
for (final Entry<Prime, Integer> i : primeFactor.entrySet())
ret = ret.multiply(new BigInteger(i.getKey().toString()).pow(i.getValue()));
return ret;
}
@Override
public int intValue() {
int ret = 1;
for (final Entry<Prime, Integer> i : primeFactor.entrySet()) ret *= pow(i.getKey().prime, i.getValue());
return ret;
}
@Override
public long longValue() {
long ret = 1;
for (final Entry<Prime, Integer> i : primeFactor.entrySet())
ret *= pow((long) i.getKey().prime, i.getValue());
return ret;
}
@Override
public float floatValue() {
float ret = 1;
for (final Entry<Prime, Integer> i : primeFactor.entrySet())
ret *= Math.pow(i.getKey().prime, i.getValue());
return ret;
}
@Override
public double doubleValue() {
long ret = 1;
for (final Entry<Prime, Integer> i : primeFactor.entrySet())
ret *= Math.pow(i.getKey().prime, i.getValue());
return ret;
}
@Override
public boolean equals(final Object o) {
return o instanceof PrimeFactor ? ((PrimeFactor) o).primeFactor.equals(primeFactor) : false;
}
@Override
public int hashCode() {
return primeFactor.hashCode();
}
@Override
public String toString() {
return primeFactor.toString();
}
}
/**
* 素数を渡すためのクラスです。<br>
* 中身が確実に素数であることを保証するときに使ってください。
*
* @author 31536000
*
*/
public static class Prime extends Number {
private static final long serialVersionUID = 8216169308184181643L;
public final int prime;
/**
* 素数を設定します。
*
* @param prime 素数
* @throws IllegalArgumentException 素数以外を渡した時
*/
public Prime(final int prime) {
if (!isPrime(prime)) throw new IllegalArgumentException(prime + " is not prime");
this.prime = prime;
}
private Prime(final int prime, final boolean none) {
this.prime = prime;
}
private static final int bases[] = { 15591, 2018, 166, 7429, 8064, 16045, 10503, 4399, 1949, 1295, 2776, 3620,
560, 3128, 5212, 2657, 2300, 2021, 4652, 1471, 9336, 4018, 2398, 20462, 10277, 8028, 2213, 6219, 620,
3763, 4852, 5012, 3185, 1333, 6227, 5298, 1074, 2391, 5113, 7061, 803, 1269, 3875, 422, 751, 580, 4729,
10239, 746, 2951, 556, 2206, 3778, 481, 1522, 3476, 481, 2487, 3266, 5633, 488, 3373, 6441, 3344, 17,
15105, 1490, 4154, 2036, 1882, 1813, 467, 3307, 14042, 6371, 658, 1005, 903, 737, 1887, 7447, 1888,
2848, 1784, 7559, 3400, 951, 13969, 4304, 177, 41, 19875, 3110, 13221, 8726, 571, 7043, 6943, 1199, 352,
6435, 165, 1169, 3315, 978, 233, 3003, 2562, 2994, 10587, 10030, 2377, 1902, 5354, 4447, 1555, 263,
27027, 2283, 305, 669, 1912, 601, 6186, 429, 1930, 14873, 1784, 1661, 524, 3577, 236, 2360, 6146, 2850,
55637, 1753, 4178, 8466, 222, 2579, 2743, 2031, 2226, 2276, 374, 2132, 813, 23788, 1610, 4422, 5159,
1725, 3597, 3366, 14336, 579, 165, 1375, 10018, 12616, 9816, 1371, 536, 1867, 10864, 857, 2206, 5788,
434, 8085, 17618, 727, 3639, 1595, 4944, 2129, 2029, 8195, 8344, 6232, 9183, 8126, 1870, 3296, 7455,
8947, 25017, 541, 19115, 368, 566, 5674, 411, 522, 1027, 8215, 2050, 6544, 10049, 614, 774, 2333, 3007,
35201, 4706, 1152, 1785, 1028, 1540, 3743, 493, 4474, 2521, 26845, 8354, 864, 18915, 5465, 2447, 42,
4511, 1660, 166, 1249, 6259, 2553, 304, 272, 7286, 73, 6554, 899, 2816, 5197, 13330, 7054, 2818, 3199,
811, 922, 350, 7514, 4452, 3449, 2663, 4708, 418, 1621, 1171, 3471, 88, 11345, 412, 1559, 194 };
private static final byte wheel[] = { 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4,
2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 2 };
private static boolean isSPRP(final int n, long a) {
int d = n - 1, s = 0;
while ((d & 1) == 0) {
++s;
d >>= 1;
}
long cur = 1, pw = d;
do {
if ((pw & 1) != 0) cur = cur * a % n;
a = a * a % n;
pw >>= 1;
} while (pw != 0);
if (cur == 1) return true;
for (int r = 0; r < s; ++r) {
if (cur == n - 1) return true;
cur = cur * cur % n;
}
return false;
}
/**
* 与えられた値が素数か否かを判定します。<br>
* この実装はhttp://ceur-ws.org/Vol-1326/020-Forisek.pdfに基づきます。
*
* @param x 判定したい値
* @return xが素数ならtrue
*/
public static boolean isPrime(final int x) {
if (x == 2 || x == 3 || x == 5 || x == 7) return true;
if ((x & 1) == 0 || x % 3 == 0 || x % 5 == 0 || x % 7 == 0) return false;
return checkPrime(x);
}
private static boolean checkPrime(final int x) {
if (x < 121) return x > 1;
long h = x;
h = (h >> 16 ^ h) * 0x45d9f3b;
h = (h >> 16 ^ h) * 0x45d9f3b;
h = (h >> 16 ^ h) & 0xFF;
return isSPRP(x, bases[(int) h]);
}
/**
* 区間における素数を列挙します。<br>
* この実装はエラトステネスの篩に基づきます。
*
* @param n 素数を求める範囲
* @return 1以上n以下の素数を保持する区間素数
*/
public static SegmentPrime getSegmentPrime(final int n) {
final Prime[] divisor = new Prime[n - 1];
final int sqrt = (int) Math.sqrt(n) + 1;
for (int i = 0; i < sqrt; ++i) {
if (divisor[i] != null) continue;
final int p = i + 2;
divisor[i] = new Prime(p, true);
for (int j = p * p - 2; j < divisor.length; j += p) divisor[j] = divisor[i];
}
for (int i = sqrt; i < divisor.length; ++i) if (divisor[i] == null) divisor[i] = new Prime(i + 2, true);
return new SegmentPrime(divisor, 2);
}
/**
* 与えられた値を素因数分解した結果を返します。
*
* @param x 素因数分解する値
* @return 素因数分解した結果
*/
public static PrimeFactor getPrimeFactor(int x) {
if (x <= 0) throw new IllegalArgumentException("non positive number: " + x);
final Map<Prime, Integer> ret = new TreeMap<>((l, r) -> Integer.compare(l.prime, r.prime));
int c;
if ((x & 1) == 0) {
c = 1;
for (x >>= 1; (x & 1) == 0; x >>= 1) ++c;
ret.put(new Prime(2, false), c);
}
if (x % 3 == 0) {
c = 1;
for (x /= 3; x % 3 == 0; x /= 3) ++c;
ret.put(new Prime(3, false), c);
}
if (x % 5 == 0) {
c = 1;
for (x /= 5; x % 5 == 0; x /= 5) ++c;
ret.put(new Prime(5, false), c);
}
if (x % 7 == 0) {
c = 1;
for (x /= 7; x % 7 == 0; x /= 7) ++c;
ret.put(new Prime(7, false), c);
}
if (x < 100000000) { // Wheel Factorization
for (int i = 11, j = 0; i * i <= x; i += wheel[++j % wheel.length]) {
while (x % i == 0) {
x /= i;
ret.compute(new Prime(i, false), (k, v) -> v == null ? 1 : v + 1);
}
}
if (x != 1) ret.put(new Prime(x, false), 1);
} else {
int p, count;
while (x != 1) { // 素因数分解が終わってる
for (p = x; !checkPrime(p); p = pollardRho(p, 1));
final Prime prime = new Prime(p, false);
count = 1;
for (x /= p; x % p == 0; x /= p) ++count;
ret.put(prime, count);
}
}
return new PrimeFactor(ret);
}
private static int gcd(int n, int m) {
while (n != 0) if ((m %= n) != 0) n %= m;
else return n;
return m;
}
private static int pollardRho(final int x, int c) {
int n = 2, m = 2, d = 1, next = 4, i = 1;
do {
if (++i == next) {
m = n;
next <<= 1;
}
if ((n = (int) (((long) n * n + c) % x)) == m) return pollardRho(x, ++c); // 失敗したので
} while ((d = gcd(Math.abs(n - m), x)) == 1);// dは約数の一つ
return d;
}
@Override
public int intValue() {
return prime;
}
@Override
public long longValue() {
return prime;
}
@Override
public float floatValue() {
return prime;
}
@Override
public double doubleValue() {
return prime;
}
@Override
public boolean equals(final Object o) {
return o instanceof Prime ? ((Prime) o).prime == prime : false;
}
@Override
public int hashCode() {
return prime;
}
@Override
public String toString() {
return String.valueOf(prime);
}
}
public static class AbstractArray<T> extends AbstractList<T> implements RandomAccess {
private final Object[] array;
public AbstractArray(final int size) {
array = new Object[size];
}
public AbstractArray(final T[] array) {
this(array.length);
System.arraycopy(array, 0, this.array, 0, array.length);
}
@Override
public T set(final int index, final T element) {
final T ret = get(index);
array[index] = element;
return ret;
}
@Override
public T get(final int index) {
@SuppressWarnings("unchecked")
final T ret = (T) array[index];
return ret;
}
public Object[] get() {
return array;
}
public T[] get(final T[] array) {
if (array.length < this.array.length) {
@SuppressWarnings("unchecked")
final T[] ret = (T[]) Arrays.copyOfRange(this.array, 0, this.array.length, array.getClass());
return ret;
}
System.arraycopy(this.array, 0, array, 0, this.array.length);
return array;
}
@Override
public int size() {
return array.length;
}
public int length() {
return size();
}
@Override
public int hashCode() {
return Arrays.hashCode(array);
}
private class Iter implements Iterator<T> {
private int index;
private Iter() {
index = 0;
}
@Override
public boolean hasNext() {
return index < array.length;
}
@Override
public T next() {
return get(index++);
}
@Override
public void remove() {
throw new UnsupportedOperationException();
}
}
@Override
public Iterator<T> iterator() {
return new Iter();
}
}
public static class Array<T> extends AbstractArray<T> implements Serializable {
private static final long serialVersionUID = 2749604433067098063L;
public Array(final int size) {
super(size);
}
public Array(final T[] array) {
super(array);
}
public T front() {
return get(0);
}
public T back() {
return get(size() - 1);
}
}
/**
* 要素とそのindexを管理するクラスです。
*
* @author 31536000
*
* @param <E> 保持する要素
*/
public static class Enumerate<E> {
public final E value;
public final int index;
/**
* 要素とそのindexを渡します。<br>
* indexは必ずしも元の配列またはコレクションのindexと一致する必要はありませんが、一致する値を返すことが推奨されます。
*
* @param value
* @param index
*/
public Enumerate(final E value, final int index) {
this.value = value;
this.index = index;
}
/**
* 要素を返します。
*
* @return 要素
*/
public E getValue() { return value; }
/**
* indexを返します。
*
* @return index
*/
public int getIndex() { return index; }
@Override
public boolean equals(final Object o) {
if (o instanceof Enumerate)
return ((Enumerate<?>) o).getValue().equals(value) && ((Enumerate<?>) o).getIndex() == index;
return false;
}
@Override
public int hashCode() {
return value.hashCode() ^ index;
}
@Override
public String toString() {
return "{" + value.toString() + ", " + index + "}";
}
}
/**
* 要素とそのindexを効率的に取得する関数を提供します。
*
* @author 31536000
*
*/
public static class Enumeration {
private static class IteratorArray<E> implements Iterator<Enumerate<E>> {
private final E[] array;
private final int start;
private int index;
public IteratorArray(final E[] array, final int index) {
this.array = array;
start = index;
this.index = 0;
}
@Override
public boolean hasNext() {
return index < array.length;
}
@Override
public Enumerate<E> next() {
final Enumerate<E> ret = new Enumerate<>(array[index], index++ + start);
return ret;
}
}
private static class IteratorCollection<E> implements Iterator<Enumerate<E>> {
private final Iterator<E> iter;
private int start;
public IteratorCollection(final Iterator<E> iter, final int index) {
this.iter = iter;
start = index;
}
@Override
public boolean hasNext() {
return iter.hasNext();
}
@Override
public Enumerate<E> next() {
final Enumerate<E> ret = new Enumerate<>(iter.next(), start++);
return ret;
}
}
/**
* 配列の各要素とそのindexを順に返すIteratorを生成します。
*
* @param <E> 配列の型
* @param array 配列
* @return Enumerate<E>のIterator
*/
public static <E> Iterator<Enumerate<E>> enumerate(final E[] array) {
return enumerate(array, 0);
}
/**
* 配列の各要素とそのindexを順に返すIteratorを生成します。
*
* @param <E> 配列の型
* @param array 配列
* @param start 添字の初期値、この値だけindexが足されたものが返る
* @return Enumerate<E>のIterator
*/
public static <E> Iterator<Enumerate<E>> enumerate(final E[] array, final int start) {
if (array == null) throw new NullPointerException("array is null");
return new IteratorArray<>(array, start);
}
/**
* Iteratorの各要素とそのindexを順に返すIteratorを生成します。
*
* @param <E> Iteratorの型
* @param iter Iterator
* @return Enumerate<E>のIterator
*/
public static <E> Iterator<Enumerate<E>> enumerate(final Iterator<E> iter) {
return enumerate(iter, 0);
}
/**
* Iteratorの各要素とそのindexを順に返すIteratorを生成します。
*
* @param <E> Iteratorの型
* @param iter Iterator
* @param start 添字の初期値、この値だけindexが足されたものが返る
* @return Enumerate<E>のIterator
*/
public static <E> Iterator<Enumerate<E>> enumerate(final Iterator<E> iter, final int start) {
if (iter == null) throw new NullPointerException("iterator is null");
return new IteratorCollection<>(iter, start);
}
}
/**
* このクラスは配列に対する様々な操作を提供します。
* @author 31536000
*
*/
public static class ArrayUtility {
private ArrayUtility() {
throw new AssertionError();
}
/**
* initを用いて配列を生成します。配列のi番目の要素はinit.applyAsInt(i)になります。
* @complexity O(length)
* @param length 配列の長さ
* @param init 配列の初期値を決める関数
* @return 配列
*/
public static int[] create(int length, java.util.function.IntUnaryOperator init) {
int[] ret = new int[length];
for (int i = 0; i < length; ++i) ret[i] = init.applyAsInt(i);
return ret;
}
/**
* initを用いて配列を生成します。配列のi番目の要素はinit.applyAsInt(i)になります。
* @complexity O(length)
* @param length 配列の長さ
* @param init 配列の初期値を決める関数
* @return 配列
*/
public static long[] create(int length, java.util.function.LongUnaryOperator init) {
long[] ret = new long[length];
for (int i = 0; i < length; ++i) ret[i] = init.applyAsLong(i);
return ret;
}
/**
* initを用いて配列を生成します。配列のi番目の要素はinit.applyAsInt(i)になります。
* @complexity O(length)
* @param length 配列の長さ
* @param init 配列の初期値を決める関数
* @return 配列
*/
public static double[] create(int length, java.util.function.DoubleUnaryOperator init) {
double[] ret = new double[length];
for (int i = 0; i < length; ++i) ret[i] = init.applyAsDouble(i);
return ret;
}
/**
* 配列の最後に要素を一つ増やした新しい配列を返します。
* @complexity O(array.length)
* @param array 元の配列
* @param element 加えたい要素
* @return 配列の後ろに要素を加えた配列
*/
public static boolean[] add(boolean[] array, boolean element) {
if (array == null) {
boolean[] ret = { element };
return ret;
}
boolean[] ret = new boolean[array.length + 1];
System.arraycopy(array, 0, ret, 0, array.length);
ret[array.length] = element;
return ret;
}
/**
* 配列の最後に要素を一つ増やした新しい配列を返します。
* @complexity O(array.length)
* @param array 元の配列
* @param element 加えたい要素
* @return 配列の後ろに要素を加えた配列
*/
public static byte[] add(byte[] array, byte element) {
if (array == null) {
byte[] ret = { element };
return ret;
}
byte[] ret = new byte[array.length + 1];
System.arraycopy(array, 0, ret, 0, array.length);
ret[array.length] = element;
return ret;
}
/**
* 配列の最後に要素を一つ増やした新しい配列を返します。
* @complexity O(array.length)
* @param array 元の配列
* @param element 加えたい要素
* @return 配列の後ろに要素を加えた配列
*/
public static short[] add(short[] array, short element) {
if (array == null) {
short[] ret = { element };
return ret;
}
short[] ret = new short[array.length + 1];
System.arraycopy(array, 0, ret, 0, array.length);
ret[array.length] = element;
return ret;
}
/**
* 配列の最後に要素を一つ増やした新しい配列を返します。
* @complexity O(array.length)
* @param array 元の配列
* @param element 加えたい要素
* @return 配列の後ろに要素を加えた配列
*/
public static int[] add(int[] array, int element) {
if (array == null) {
int[] ret = { element };
return ret;
}
int[] ret = new int[array.length + 1];
System.arraycopy(array, 0, ret, 0, array.length);
ret[array.length] = element;
return ret;
}
/**
* 配列の最後に要素を一つ増やした新しい配列を返します。
* @complexity O(array.length)
* @param array 元の配列
* @param element 加えたい要素
* @return 配列の後ろに要素を加えた配列
*/
public static long[] add(long[] array, long element) {
if (array == null) {
long[] ret = { element };
return ret;
}
long[] ret = new long[array.length + 1];
System.arraycopy(array, 0, ret, 0, array.length);
ret[array.length] = element;
return ret;
}
/**
* 配列の最後に要素を一つ増やした新しい配列を返します。
* @complexity O(array.length)
* @param array 元の配列
* @param element 加えたい要素
* @return 配列の後ろに要素を加えた配列
*/
public static float[] add(float[] array, float element) {
if (array == null) {
float[] ret = { element };
return ret;
}
float[] ret = new float[array.length + 1];
System.arraycopy(array, 0, ret, 0, array.length);
ret[array.length] = element;
return ret;
}
/**
* 配列の最後に要素を一つ増やした新しい配列を返します。
* @complexity O(array.length)
* @param array 元の配列
* @param element 加えたい要素
* @return 配列の後ろに要素を加えた配列
*/
public static double[] add(double[] array, double element) {
if (array == null) {
double[] ret = { element };
return ret;
}
double[] ret = new double[array.length + 1];
System.arraycopy(array, 0, ret, 0, array.length);
ret[array.length] = element;
return ret;
}
/**
* 配列の最後に要素を一つ増やした新しい配列を返します。
* @complexity O(array.length)
* @param array 元の配列
* @param element 加えたい要素
* @return 配列の後ろに要素を加えた配列
*/
public static char[] add(char[] array, char element) {
if (array == null) {
char[] ret = { element };
return ret;
}
char[] ret = new char[array.length + 1];
System.arraycopy(array, 0, ret, 0, array.length);
ret[array.length] = element;
return ret;
}
/**
* 配列の最後に要素を一つ増やした新しい配列を返します。
* @complexity O(array.length)
* @param array 元の配列
* @param element 加えたい要素
* @return 配列の後ろに要素を加えた配列
*/
public static <T> T[] add(T[] array, T element) {
if (array == null) { return addAll(array, element); }
@SuppressWarnings("unchecked")
T[] ret = (T[]) java.util.Arrays.copyOfRange(array, 0, array.length + 1, array.getClass());
ret[array.length] = element;
return ret;
}
/**
* 2つの配列を結合した新しい配列を返します。
* @complexity O(array.length + array2.length)
* @param array 左側の配列
* @param array2 右側の配列
* @return 2つの配列を結合した配列
*/
public static boolean[] addAll(boolean[] array, boolean... array2) {
if (array == null) return array2 == null ? null : array2.clone();
if (array2 == null) return array.clone();
boolean[] ret = new boolean[array.length + array2.length];
System.arraycopy(array, 0, ret, 0, array.length);
System.arraycopy(array2, 0, ret, array.length, array2.length);
return ret;
}
/**
* 2つの配列を結合した新しい配列を返します。
* @complexity O(array.length + array2.length)
* @param array 左側の配列
* @param array2 右側の配列
* @return 2つの配列を結合した配列
*/
public static byte[] addAll(byte[] array, byte... array2) {
if (array == null) return array2 == null ? null : array2.clone();
if (array2 == null) return array.clone();
byte[] ret = new byte[array.length + array2.length];
System.arraycopy(array, 0, ret, 0, array.length);
System.arraycopy(array2, 0, ret, array.length, array2.length);
return ret;
}
/**
* 2つの配列を結合した新しい配列を返します。
* @complexity O(array.length + array2.length)
* @param array 左側の配列
* @param array2 右側の配列
* @return 2つの配列を結合した配列
*/
public static short[] addAll(short[] array, short... array2) {
if (array == null) return array2 == null ? null : array2.clone();
if (array2 == null) return array.clone();
short[] ret = new short[array.length + array2.length];
System.arraycopy(array, 0, ret, 0, array.length);
System.arraycopy(array2, 0, ret, array.length, array2.length);
return ret;
}
/**
* 2つの配列を結合した新しい配列を返します。
* @complexity O(array.length + array2.length)
* @param array 左側の配列
* @param array2 右側の配列
* @return 2つの配列を結合した配列
*/
public static int[] addAll(int[] array, int... array2) {
if (array == null) return array2 == null ? null : array2.clone();
if (array2 == null) return array.clone();
int[] ret = new int[array.length + array2.length];
System.arraycopy(array, 0, ret, 0, array.length);
System.arraycopy(array2, 0, ret, array.length, array2.length);
return ret;
}
/**
* 2つの配列を結合した新しい配列を返します。
* @complexity O(array.length + array2.length)
* @param array 左側の配列
* @param array2 右側の配列
* @return 2つの配列を結合した配列
*/
public static long[] addAll(long[] array, long... array2) {
if (array == null) return array2 == null ? null : array2.clone();
if (array2 == null) return array.clone();
long[] ret = new long[array.length + array2.length];
System.arraycopy(array, 0, ret, 0, array.length);
System.arraycopy(array2, 0, ret, array.length, array2.length);
return ret;
}
/**
* 2つの配列を結合した新しい配列を返します。
* @complexity O(array.length + array2.length)
* @param array 左側の配列
* @param array2 右側の配列
* @return 2つの配列を結合した配列
*/
public static float[] addAll(float[] array, float... array2) {
if (array == null) return array2 == null ? null : array2.clone();
if (array2 == null) return array.clone();
float[] ret = new float[array.length + array2.length];
System.arraycopy(array, 0, ret, 0, array.length);
System.arraycopy(array2, 0, ret, array.length, array2.length);
return ret;
}
/**
* 2つの配列を結合した新しい配列を返します。
* @complexity O(array.length + array2.length)
* @param array 左側の配列
* @param array2 右側の配列
* @return 2つの配列を結合した配列
*/
public static double[] addAll(double[] array, double... array2) {
if (array == null) return array2 == null ? null : array2.clone();
if (array2 == null) return array.clone();
double[] ret = new double[array.length + array2.length];
System.arraycopy(array, 0, ret, 0, array.length);
System.arraycopy(array2, 0, ret, array.length, array2.length);
return ret;
}
/**
* 2つの配列を結合した新しい配列を返します。
* @complexity O(array.length + array2.length)
* @param array 左側の配列
* @param array2 右側の配列
* @return 2つの配列を結合した配列
*/
public static char[] addAll(char[] array, char... array2) {
if (array == null) return array2 == null ? null : array2.clone();
if (array2 == null) return array.clone();
char[] ret = new char[array.length + array2.length];
System.arraycopy(array, 0, ret, 0, array.length);
System.arraycopy(array2, 0, ret, array.length, array2.length);
return ret;
}
/**
* 2つの配列を結合した新しい配列を返します。
* @complexity O(array.length + array2.length)
* @param array 左側の配列
* @param array2 右側の配列
* @return 2つの配列を結合した配列
*/
@SafeVarargs
public static <T> T[] addAll(T[] array, T... array2) {
if (array == null) return array2 == null ? null : array2.clone();
if (array2 == null) return array.clone();
@SuppressWarnings("unchecked")
T[] ret = (T[]) java.util.Arrays.copyOfRange(array, 0, array.length + array2.length, array.getClass());
System.arraycopy(array2, 0, ret, array.length, array2.length);
return ret;
}
/**
* 配列を逆順にします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void reverse(boolean[] array) {
if (array != null)
for (int i = 0, l = array.length + 1 >> 1; i < l; ++i) swap(array, i, array.length - 1 - i);
}
/**
* 配列を逆順にします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex 逆順にする左閉区間
* @param toIndex 逆順にする右開区間
*/
public static void reverse(boolean[] array, int fromIndex, int toIndex) {
for (--toIndex; fromIndex < toIndex; ++fromIndex, --toIndex) swap(array, fromIndex, toIndex);
}
/**
* 配列を逆順にします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range 逆順にする区間
*/
public static void reverse(boolean[] array, IntRange range) {
reverse(array, range.getClosedLower(), range.getOpenUpper());
}
/**
* 配列を逆順にします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void reverse(byte[] array) {
if (array != null)
for (int i = 0, l = array.length + 1 >> 1; i < l; ++i) swap(array, i, array.length - 1 - i);
}
/**
* 配列を逆順にします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex 逆順にする左閉区間
* @param toIndex 逆順にする右開区間
*/
public static void reverse(byte[] array, int fromIndex, int toIndex) {
for (--toIndex; fromIndex < toIndex; ++fromIndex, --toIndex) swap(array, fromIndex, toIndex);
}
/**
* 配列を逆順にします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range 逆順にする区間
*/
public static void reverse(byte[] array, IntRange range) {
reverse(array, range.getClosedLower(), range.getOpenUpper());
}
/**
* 配列を逆順にします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void reverse(short[] array) {
if (array != null)
for (int i = 0, l = array.length + 1 >> 1; i < l; ++i) swap(array, i, array.length - 1 - i);
}
/**
* 配列を逆順にします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex 逆順にする左閉区間
* @param toIndex 逆順にする右開区間
*/
public static void reverse(short[] array, int fromIndex, int toIndex) {
for (--toIndex; fromIndex < toIndex; ++fromIndex, --toIndex) swap(array, fromIndex, toIndex);
}
/**
* 配列を逆順にします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range 逆順にする区間
*/
public static void reverse(short[] array, IntRange range) {
reverse(array, range.getClosedLower(), range.getOpenUpper());
}
/**
* 配列を逆順にします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void reverse(int[] array) {
if (array != null)
for (int i = 0, l = array.length + 1 >> 1; i < l; ++i) swap(array, i, array.length - 1 - i);
}
/**
* 配列を逆順にします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex 逆順にする左閉区間
* @param toIndex 逆順にする右開区間
*/
public static void reverse(int[] array, int fromIndex, int toIndex) {
for (--toIndex; fromIndex < toIndex; ++fromIndex, --toIndex) swap(array, fromIndex, toIndex);
}
/**
* 配列を逆順にします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range 逆順にする区間
*/
public static void reverse(int[] array, IntRange range) {
reverse(array, range.getClosedLower(), range.getOpenUpper());
}
/**
* 配列を逆順にします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void reverse(long[] array) {
if (array != null)
for (int i = 0, l = array.length + 1 >> 1; i < l; ++i) swap(array, i, array.length - 1 - i);
}
/**
* 配列を逆順にします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex 逆順にする左閉区間
* @param toIndex 逆順にする右開区間
*/
public static void reverse(long[] array, int fromIndex, int toIndex) {
for (--toIndex; fromIndex < toIndex; ++fromIndex, --toIndex) swap(array, fromIndex, toIndex);
}
/**
* 配列を逆順にします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range 逆順にする区間
*/
public static void reverse(long[] array, IntRange range) {
reverse(array, range.getClosedLower(), range.getOpenUpper());
}
/**
* 配列を逆順にします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void reverse(float[] array) {
if (array != null)
for (int i = 0, l = array.length + 1 >> 1; i < l; ++i) swap(array, i, array.length - 1 - i);
}
/**
* 配列を逆順にします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex 逆順にする左閉区間
* @param toIndex 逆順にする右開区間
*/
public static void reverse(float[] array, int fromIndex, int toIndex) {
for (--toIndex; fromIndex < toIndex; ++fromIndex, --toIndex) swap(array, fromIndex, toIndex);
}
/**
* 配列を逆順にします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range 逆順にする区間
*/
public static void reverse(float[] array, IntRange range) {
reverse(array, range.getClosedLower(), range.getOpenUpper());
}
/**
* 配列を逆順にします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void reverse(double[] array) {
if (array != null)
for (int i = 0, l = array.length + 1 >> 1; i < l; ++i) swap(array, i, array.length - 1 - i);
}
/**
* 配列を逆順にします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex 逆順にする左閉区間
* @param toIndex 逆順にする右開区間
*/
public static void reverse(double[] array, int fromIndex, int toIndex) {
for (--toIndex; fromIndex < toIndex; ++fromIndex, --toIndex) swap(array, fromIndex, toIndex);
}
/**
* 配列を逆順にします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range 逆順にする区間
*/
public static void reverse(double[] array, IntRange range) {
reverse(array, range.getClosedLower(), range.getOpenUpper());
}
/**
* 配列を逆順にします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void reverse(char[] array) {
if (array != null)
for (int i = 0, l = array.length + 1 >> 1; i < l; ++i) swap(array, i, array.length - 1 - i);
}
/**
* 配列を逆順にします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex 逆順にする左閉区間
* @param toIndex 逆順にする右開区間
*/
public static void reverse(char[] array, int fromIndex, int toIndex) {
for (--toIndex; fromIndex < toIndex; ++fromIndex, --toIndex) swap(array, fromIndex, toIndex);
}
/**
* 配列を逆順にします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range 逆順にする区間
*/
public static void reverse(char[] array, IntRange range) {
reverse(array, range.getClosedLower(), range.getOpenUpper());
}
/**
* 配列を逆順にします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void reverse(Object[] array) {
if (array != null)
for (int i = 0, l = array.length + 1 >> 1; i < l; ++i) swap(array, i, array.length - 1 - i);
}
/**
* 配列を逆順にします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex 逆順にする左閉区間
* @param toIndex 逆順にする右開区間
*/
public static void reverse(Object[] array, int fromIndex, int toIndex) {
for (--toIndex; fromIndex < toIndex; ++fromIndex, --toIndex) swap(array, fromIndex, toIndex);
}
/**
* 配列を逆順にします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range 逆順にする区間
*/
public static void reverse(Object[] array, IntRange range) {
reverse(array, range.getClosedLower(), range.getOpenUpper());
}
private static java.util.Random rnd;
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void shuffle(boolean[] array) {
shuffle(array, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
*/
public static void shuffle(boolean[] array, int fromIndex, int toIndex) {
shuffle(array, fromIndex, toIndex, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
*/
public static void shuffle(boolean[] array, IntRange range) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(),
rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
* @param random 乱数
*/
public static void shuffle(boolean[] array, java.util.Random random) {
if (array != null) for (int i = array.length - 1; i > 0; --i) swap(array, i, random.nextInt(i + 1));
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
* @param random 乱数
*/
public static void shuffle(boolean[] array, int fromIndex, int toIndex, java.util.Random random) {
if (array != null)
for (int i = toIndex - 1; i > fromIndex; --i) swap(array, i, random.nextInt(i - fromIndex) + fromIndex);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
* @param random 乱数
*/
public static void shuffle(boolean[] array, IntRange range, java.util.Random random) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(), random);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void shuffle(byte[] array) {
shuffle(array, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
*/
public static void shuffle(byte[] array, int fromIndex, int toIndex) {
shuffle(array, fromIndex, toIndex, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
*/
public static void shuffle(byte[] array, IntRange range) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(),
rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
* @param random 乱数
*/
public static void shuffle(byte[] array, java.util.Random random) {
if (array != null) for (int i = array.length - 1; i > 0; --i) swap(array, i, random.nextInt(i + 1));
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
* @param random 乱数
*/
public static void shuffle(byte[] array, int fromIndex, int toIndex, java.util.Random random) {
if (array != null)
for (int i = toIndex - 1; i > fromIndex; --i) swap(array, i, random.nextInt(i - fromIndex) + fromIndex);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
* @param random 乱数
*/
public static void shuffle(byte[] array, IntRange range, java.util.Random random) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(), random);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void shuffle(short[] array) {
shuffle(array, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
*/
public static void shuffle(short[] array, int fromIndex, int toIndex) {
shuffle(array, fromIndex, toIndex, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
*/
public static void shuffle(short[] array, IntRange range) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(),
rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
* @param random 乱数
*/
public static void shuffle(short[] array, java.util.Random random) {
if (array != null) for (int i = array.length - 1; i > 0; --i) swap(array, i, random.nextInt(i + 1));
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
* @param random 乱数
*/
public static void shuffle(short[] array, int fromIndex, int toIndex, java.util.Random random) {
if (array != null)
for (int i = toIndex - 1; i > fromIndex; --i) swap(array, i, random.nextInt(i - fromIndex) + fromIndex);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
* @param random 乱数
*/
public static void shuffle(short[] array, IntRange range, java.util.Random random) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(), random);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void shuffle(int[] array) {
shuffle(array, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
*/
public static void shuffle(int[] array, int fromIndex, int toIndex) {
shuffle(array, fromIndex, toIndex, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
*/
public static void shuffle(int[] array, IntRange range) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(),
rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
* @param random 乱数
*/
public static void shuffle(int[] array, java.util.Random random) {
if (array != null) for (int i = array.length - 1; i > 0; --i) swap(array, i, random.nextInt(i + 1));
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
* @param random 乱数
*/
public static void shuffle(int[] array, int fromIndex, int toIndex, java.util.Random random) {
if (array != null)
for (int i = toIndex - 1; i > fromIndex; --i) swap(array, i, random.nextInt(i - fromIndex) + fromIndex);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
* @param random 乱数
*/
public static void shuffle(int[] array, IntRange range, java.util.Random random) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(), random);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void shuffle(long[] array) {
shuffle(array, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
*/
public static void shuffle(long[] array, int fromIndex, int toIndex) {
shuffle(array, fromIndex, toIndex, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
*/
public static void shuffle(long[] array, IntRange range) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(),
rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
* @param random 乱数
*/
public static void shuffle(long[] array, java.util.Random random) {
if (array != null) for (int i = array.length - 1; i > 0; --i) swap(array, i, random.nextInt(i + 1));
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
* @param random 乱数
*/
public static void shuffle(long[] array, int fromIndex, int toIndex, java.util.Random random) {
if (array != null)
for (int i = toIndex - 1; i > fromIndex; --i) swap(array, i, random.nextInt(i - fromIndex) + fromIndex);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
* @param random 乱数
*/
public static void shuffle(long[] array, IntRange range, java.util.Random random) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(), random);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void shuffle(float[] array) {
shuffle(array, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
*/
public static void shuffle(float[] array, int fromIndex, int toIndex) {
shuffle(array, fromIndex, toIndex, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
*/
public static void shuffle(float[] array, IntRange range) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(),
rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
* @param random 乱数
*/
public static void shuffle(float[] array, java.util.Random random) {
if (array != null) for (int i = array.length - 1; i > 0; --i) swap(array, i, random.nextInt(i + 1));
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
* @param random 乱数
*/
public static void shuffle(float[] array, int fromIndex, int toIndex, java.util.Random random) {
if (array != null)
for (int i = toIndex - 1; i > fromIndex; --i) swap(array, i, random.nextInt(i - fromIndex) + fromIndex);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
* @param random 乱数
*/
public static void shuffle(float[] array, IntRange range, java.util.Random random) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(), random);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void shuffle(double[] array) {
shuffle(array, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
*/
public static void shuffle(double[] array, int fromIndex, int toIndex) {
shuffle(array, fromIndex, toIndex, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
*/
public static void shuffle(double[] array, IntRange range) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(),
rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
* @param random 乱数
*/
public static void shuffle(double[] array, java.util.Random random) {
if (array != null) for (int i = array.length - 1; i > 0; --i) swap(array, i, random.nextInt(i + 1));
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
* @param random 乱数
*/
public static void shuffle(double[] array, int fromIndex, int toIndex, java.util.Random random) {
if (array != null)
for (int i = toIndex - 1; i > fromIndex; --i) swap(array, i, random.nextInt(i - fromIndex) + fromIndex);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
* @param random 乱数
*/
public static void shuffle(double[] array, IntRange range, java.util.Random random) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(), random);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void shuffle(char[] array) {
shuffle(array, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
*/
public static void shuffle(char[] array, int fromIndex, int toIndex) {
shuffle(array, fromIndex, toIndex, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
*/
public static void shuffle(char[] array, IntRange range) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(),
rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
* @param random 乱数
*/
public static void shuffle(char[] array, java.util.Random random) {
if (array != null) for (int i = array.length - 1; i > 0; --i) swap(array, i, random.nextInt(i + 1));
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
* @param random 乱数
*/
public static void shuffle(char[] array, int fromIndex, int toIndex, java.util.Random random) {
if (array != null)
for (int i = toIndex - 1; i > fromIndex; --i) swap(array, i, random.nextInt(i - fromIndex) + fromIndex);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
* @param random 乱数
*/
public static void shuffle(char[] array, IntRange range, java.util.Random random) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(), random);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
*/
public static void shuffle(Object[] array) {
shuffle(array, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
*/
public static void shuffle(Object[] array, int fromIndex, int toIndex) {
shuffle(array, fromIndex, toIndex, rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
*/
public static void shuffle(Object[] array, IntRange range) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(),
rnd == null ? rnd = new java.util.Random() : rnd);
}
/**
* 配列をシャッフルします。
* @complexity O(array.length)
* @param array 元の配列
* @param random 乱数
*/
public static void shuffle(Object[] array, java.util.Random random) {
if (array != null) for (int i = array.length - 1; i > 0; --i) swap(array, i, random.nextInt(i + 1));
}
/**
* 配列をシャッフルします。
* @complexity O(toIndex-fromIndex)
* @param array 元の配列
* @param fromIndex シャッフルする左閉区間
* @param toIndex シャッフルする右開区間
* @param random 乱数
*/
public static void shuffle(Object[] array, int fromIndex, int toIndex, java.util.Random random) {
if (array != null)
for (int i = toIndex - 1; i > fromIndex; --i) swap(array, i, random.nextInt(i - fromIndex) + fromIndex);
}
/**
* 配列をシャッフルします。
* @complexity O(range.getDistance())
* @param array 元の配列
* @param range シャッフルする区間
* @param random 乱数
*/
public static void shuffle(Object[] array, IntRange range, java.util.Random random) {
shuffle(array, range.getClosedLower(), range.getOpenUpper(), random);
}
/**
* 指定した長さと初期値を持つ配列を生成します。
* @complexity O(size)
* @param size 配列の長さ
* @param value 配列の初期値
* @return 生成された配列
*/
public static boolean[] getArray(int size, boolean value) {
boolean[] ret = new boolean[size];
java.util.Arrays.fill(ret, value);
return ret;
}
/**
* 指定した長さと初期値を持つ配列を生成します。
* @complexity O(size)
* @param size 配列の長さ
* @param value 配列の初期値
* @return 生成された配列
*/
public static byte[] getArray(int size, byte value) {
byte[] ret = new byte[size];
java.util.Arrays.fill(ret, value);
return ret;
}
/**
* 指定した長さと初期値を持つ配列を生成します。
* @complexity O(size)
* @param size 配列の長さ
* @param value 配列の初期値
* @return 生成された配列
*/
public static short[] getArray(int size, short value) {
short[] ret = new short[size];
java.util.Arrays.fill(ret, value);
return ret;
}
/**
* 指定した長さと初期値を持つ配列を生成します。
* @complexity O(size)
* @param size 配列の長さ
* @param value 配列の初期値
* @return 生成された配列
*/
public static int[] getArray(int size, int value) {
int[] ret = new int[size];
java.util.Arrays.fill(ret, value);
return ret;
}
/**
* 指定した長さと初期値を持つ配列を生成します。
* @complexity O(size)
* @param size 配列の長さ
* @param value 配列の初期値
* @return 生成された配列
*/
public static long[] getArray(int size, long value) {
long[] ret = new long[size];
java.util.Arrays.fill(ret, value);
return ret;
}
/**
* 指定した長さと初期値を持つ配列を生成します。
* @complexity O(size)
* @param size 配列の長さ
* @param value 配列の初期値
* @return 生成された配列
*/
public static float[] getArray(int size, float value) {
float[] ret = new float[size];
java.util.Arrays.fill(ret, value);
return ret;
}
/**
* 指定した長さと初期値を持つ配列を生成します。
* @complexity O(size)
* @param size 配列の長さ
* @param value 配列の初期値
* @return 生成された配列
*/
public static double[] getArray(int size, double value) {
double[] ret = new double[size];
java.util.Arrays.fill(ret, value);
return ret;
}
/**
* 指定した長さと初期値を持つ配列を生成します。
* @complexity O(size)
* @param size 配列の長さ
* @param value 配列の初期値
* @return 生成された配列
*/
public static char[] getArray(int size, char value) {
char[] ret = new char[size];
java.util.Arrays.fill(ret, value);
return ret;
}
/**
* プリミティブ型の配列と中身が対応するオブジェクト型の配列を生成します。
* @complexity O(array.length)
* @param array プリミティブ型の配列
* @return オブジェクト型の配列
*/
public static Boolean[] toObject(boolean[] array) {
if (array == null) return null;
Boolean[] ret = new Boolean[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* プリミティブ型の配列と中身が対応するオブジェクト型の配列を生成します。
* @complexity O(array.length)
* @param array プリミティブ型の配列
* @return オブジェクト型の配列
*/
public static Byte[] toObject(byte[] array) {
if (array == null) return null;
Byte[] ret = new Byte[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* プリミティブ型の配列と中身が対応するオブジェクト型の配列を生成します。
* @complexity O(array.length)
* @param array プリミティブ型の配列
* @return オブジェクト型の配列
*/
public static Short[] toObject(short[] array) {
if (array == null) return null;
Short[] ret = new Short[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* プリミティブ型の配列と中身が対応するオブジェクト型の配列を生成します。
* @complexity O(array.length)
* @param array プリミティブ型の配列
* @return オブジェクト型の配列
*/
public static Integer[] toObject(int[] array) {
if (array == null) return null;
Integer[] ret = new Integer[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* プリミティブ型の配列と中身が対応するオブジェクト型の配列を生成します。
* @complexity O(array.length)
* @param array プリミティブ型の配列
* @return オブジェクト型の配列
*/
public static Long[] toObject(long[] array) {
if (array == null) return null;
Long[] ret = new Long[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* プリミティブ型の配列と中身が対応するオブジェクト型の配列を生成します。
* @complexity O(array.length)
* @param array プリミティブ型の配列
* @return オブジェクト型の配列
*/
public static Float[] toObject(float[] array) {
if (array == null) return null;
Float[] ret = new Float[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* プリミティブ型の配列と中身が対応するオブジェクト型の配列を生成します。
* @complexity O(array.length)
* @param array プリミティブ型の配列
* @return オブジェクト型の配列
*/
public static Double[] toObject(double[] array) {
if (array == null) return null;
Double[] ret = new Double[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* プリミティブ型の配列と中身が対応するオブジェクト型の配列を生成します。
* @complexity O(array.length)
* @param array プリミティブ型の配列
* @return オブジェクト型の配列
*/
public static Character[] toObject(char[] array) {
if (array == null) return null;
Character[] ret = new Character[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @return プリミティブ型の配列
* @throws NullPointerException 配列の要素にnullが含まれていた場合
*/
public static boolean[] toPrimitive(Boolean[] array) {
if (array == null) return null;
boolean[] ret = new boolean[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @param valueForNull nullの値に対応させる値
* @return プリミティブ型の配列
*/
public static boolean[] toPrimitive(Boolean[] array, boolean valueForNull) {
if (array == null) return null;
boolean[] ret = new boolean[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i] == null ? valueForNull : array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @return プリミティブ型の配列
* @throws NullPointerException 配列の要素にnullが含まれていた場合
*/
public static byte[] toPrimitive(Byte[] array) {
if (array == null) return null;
byte[] ret = new byte[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @param valueForNull nullの値に対応させる値
* @return プリミティブ型の配列
*/
public static byte[] toPrimitive(Byte[] array, byte valueForNull) {
if (array == null) return null;
byte[] ret = new byte[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i] == null ? valueForNull : array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @return プリミティブ型の配列
* @throws NullPointerException 配列の要素にnullが含まれていた場合
*/
public static short[] toPrimitive(Short[] array) {
if (array == null) return null;
short[] ret = new short[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @param valueForNull nullの値に対応させる値
* @return プリミティブ型の配列
*/
public static short[] toPrimitive(Short[] array, short valueForNull) {
if (array == null) return null;
short[] ret = new short[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i] == null ? valueForNull : array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @return プリミティブ型の配列
* @throws NullPointerException 配列の要素にnullが含まれていた場合
*/
public static int[] toPrimitive(Integer[] array) {
if (array == null) return null;
int[] ret = new int[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @param valueForNull nullの値に対応させる値
* @return プリミティブ型の配列
*/
public static int[] toPrimitive(Integer[] array, int valueForNull) {
if (array == null) return null;
int[] ret = new int[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i] == null ? valueForNull : array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @return プリミティブ型の配列
* @throws NullPointerException 配列の要素にnullが含まれていた場合
*/
public static long[] toPrimitive(Long[] array) {
if (array == null) return null;
long[] ret = new long[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @param valueForNull nullの値に対応させる値
* @return プリミティブ型の配列
*/
public static long[] toPrimitive(Long[] array, long valueForNull) {
if (array == null) return null;
long[] ret = new long[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i] == null ? valueForNull : array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @return プリミティブ型の配列
* @throws NullPointerException 配列の要素にnullが含まれていた場合
*/
public static float[] toPrimitive(Float[] array) {
if (array == null) return null;
float[] ret = new float[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @param valueForNull nullの値に対応させる値
* @return プリミティブ型の配列
*/
public static float[] toPrimitive(Float[] array, float valueForNull) {
if (array == null) return null;
float[] ret = new float[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i] == null ? valueForNull : array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @return プリミティブ型の配列
* @throws NullPointerException 配列の要素にnullが含まれていた場合
*/
public static double[] toPrimitive(Double[] array) {
if (array == null) return null;
double[] ret = new double[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @param valueForNull nullの値に対応させる値
* @return プリミティブ型の配列
*/
public static double[] toPrimitive(Double[] array, double valueForNull) {
if (array == null) return null;
double[] ret = new double[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i] == null ? valueForNull : array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @return プリミティブ型の配列
* @throws NullPointerException 配列の要素にnullが含まれていた場合
*/
public static char[] toPrimitive(Character[] array) {
if (array == null) return null;
char[] ret = new char[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i];
return ret;
}
/**
* オブジェクト型の配列と中身が対応するプリミティブ型の配列を生成します。
* @complexity O(array.length)
* @param array オブジェクト型の配列
* @param valueForNull nullの値に対応させる値
* @return プリミティブ型の配列
*/
public static char[] toPrimitive(Character[] array, char valueForNull) {
if (array == null) return null;
char[] ret = new char[array.length];
for (int i = 0; i < ret.length; ++i) ret[i] = array[i] == null ? valueForNull : array[i];
return ret;
}
/**
* 配列の最小要素を返します。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
* @return 配列がnullか要素数が0の場合はnull、それ以外の場合は配列の最小値
* @throws NullPointerException comparatorがnullの場合
*/
public static <T> T min(T[] array, java.util.Comparator<T> comparator) {
if (array == null || array.length == 0) return null;
T min = array[0];
for (int i = 1; i < array.length; ++i) if (comparator.compare(min, array[i]) > 0) min = array[i];
return min;
}
/**
* 配列の最小要素を返します。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
*/
public static <T extends Comparable<T>> T min(T[] array) {
return min(array, java.util.Comparator.naturalOrder());
}
/**
* 配列の最小要素を返します。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
*/
public static byte min(byte[] array) {
byte min = array[0];
for (int i = 1; i < array.length; ++i) if (min > array[i]) min = array[i];
return min;
}
/**
* 配列の最小要素を返します。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
*/
public static short min(short[] array) {
short min = array[0];
for (int i = 1; i < array.length; ++i) if (min > array[i]) min = array[i];
return min;
}
/**
* 配列の最小要素を返します。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
*/
public static int min(int[] array) {
int min = array[0];
for (int i = 1; i < array.length; ++i) if (min > array[i]) min = array[i];
return min;
}
/**
* 配列の最小要素を返します。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
*/
public static long min(long[] array) {
long min = array[0];
for (int i = 1; i < array.length; ++i) if (min > array[i]) min = array[i];
return min;
}
/**
* 配列の最小要素を返します。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
*/
public static float min(float[] array) {
float min = array[0];
for (int i = 1; i < array.length; ++i) if (min > array[i]) min = array[i];
return min;
}
/**
* 配列の最小要素を返します。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
*/
public static double min(double[] array) {
double min = array[0];
for (int i = 1; i < array.length; ++i) if (min > array[i]) min = array[i];
return min;
}
/**
* 配列の最小要素を返します。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
* @return 配列がnullか要素数が0の場合はnull、それ以外の場合は配列の最小値
* @throws NullPointerException comparatorがnullの場合
*/
public static <T> T max(T[] array, java.util.Comparator<T> comparator) {
if (array == null || array.length == 0) return null;
T max = array[0];
for (int i = 1; i < array.length; ++i) if (comparator.compare(max, array[i]) < 0) max = array[i];
return max;
}
/**
* 配列の最大要素を返します。
* @complexity O(array.length)
* @param array 配列
* @return 配列がnullか要素数が0の場合はnull、それ以外の場合は配列の最大値
*/
public static <T extends Comparable<T>> T max(T[] array) {
return max(array, java.util.Comparator.naturalOrder());
}
/**
* 配列の最大要素を返します。
* @complexity O(array.length)
* @param array 配列
* @return 配列がnullか要素数が0の場合はnull、それ以外の場合は配列の最大値
* @throws NullPointerException arrayがnullの場合
*/
public static byte max(byte[] array) {
byte max = array[0];
for (int i = 1; i < array.length; ++i) if (max < array[i]) max = array[i];
return max;
}
/**
* 配列の最大要素を返します。
* @complexity O(array.length)
* @param array 配列
* @return 配列がnullか要素数が0の場合はnull、それ以外の場合は配列の最大値
* @throws NullPointerException arrayがnullの場合
*/
public static short max(short[] array) {
short max = array[0];
for (int i = 1; i < array.length; ++i) if (max < array[i]) max = array[i];
return max;
}
/**
* 配列の最大要素を返します。
* @complexity O(array.length)
* @param array 配列
* @return 配列がnullか要素数が0の場合はnull、それ以外の場合は配列の最大値
* @throws NullPointerException arrayがnullの場合
*/
public static int max(int[] array) {
int max = array[0];
for (int i = 1; i < array.length; ++i) if (max < array[i]) max = array[i];
return max;
}
/**
* 配列の最大要素を返します。
* @complexity O(array.length)
* @param array 配列
* @return 配列がnullか要素数が0の場合はnull、それ以外の場合は配列の最大値
* @throws NullPointerException arrayがnullの場合
*/
public static long max(long[] array) {
long max = array[0];
for (int i = 1; i < array.length; ++i) if (max < array[i]) max = array[i];
return max;
}
/**
* 配列の最大要素を返します。
* @complexity O(array.length)
* @param array 配列
* @return 配列がnullか要素数が0の場合はnull、それ以外の場合は配列の最大値
* @throws NullPointerException arrayがnullの場合
*/
public static float max(float[] array) {
float max = array[0];
for (int i = 1; i < array.length; ++i) if (max < array[i]) max = array[i];
return max;
}
/**
* 配列の最大要素を返します。
* @complexity O(array.length)
* @param array 配列
* @return 配列がnullか要素数が0の場合はnull、それ以外の場合は配列の最大値
* @throws NullPointerException arrayがnullの場合
*/
public static double max(double[] array) {
double max = array[0];
for (int i = 1; i < array.length; ++i) if (max < array[i]) max = array[i];
return max;
}
/**
* 配列のn番目とm番目を入れ替えます。
* @complexity O(1)
* @param array 配列
* @param n 中身をswapするindex
* @param m 中身をswapするindex
* @throws ArrayIndexOutOfBoundsException n, m < 0 || array.length <= n, mのとき
* @throws NullPointerException arrayがnullの場合
*/
public static void swap(boolean[] array, int n, int m) {
boolean swap = array[n];
array[n] = array[m];
array[m] = swap;
}
/**
* 配列のn番目とm番目を入れ替えます。
* @complexity O(1)
* @param array 配列
* @param n 中身をswapするindex
* @param m 中身をswapするindex
* @throws ArrayIndexOutOfBoundsException n, m < 0 || array.length <= n, mのとき
* @throws NullPointerException arrayがnullの場合
*/
public static void swap(byte[] array, int n, int m) {
byte swap = array[n];
array[n] = array[m];
array[m] = swap;
}
/**
* 配列のn番目とm番目を入れ替えます。
* @complexity O(1)
* @param array 配列
* @param n 中身をswapするindex
* @param m 中身をswapするindex
* @throws ArrayIndexOutOfBoundsException n, m < 0 || array.length <= n, mのとき
* @throws NullPointerException arrayがnullの場合
*/
public static void swap(short[] array, int n, int m) {
short swap = array[n];
array[n] = array[m];
array[m] = swap;
}
/**
* 配列のn番目とm番目を入れ替えます。
* @complexity O(1)
* @param array 配列
* @param n 中身をswapするindex
* @param m 中身をswapするindex
* @throws ArrayIndexOutOfBoundsException n, m < 0 || array.length <= n, mのとき
* @throws NullPointerException arrayがnullの場合
*/
public static void swap(int[] array, int n, int m) {
int swap = array[n];
array[n] = array[m];
array[m] = swap;
}
/**
* 配列のn番目とm番目を入れ替えます。
* @complexity O(1)
* @param array 配列
* @param n 中身をswapするindex
* @param m 中身をswapするindex
* @throws ArrayIndexOutOfBoundsException n, m < 0 || array.length <= n, mのとき
* @throws NullPointerException arrayがnullの場合
*/
public static void swap(long[] array, int n, int m) {
long swap = array[n];
array[n] = array[m];
array[m] = swap;
}
/**
* 配列のn番目とm番目を入れ替えます。
* @complexity O(1)
* @param array 配列
* @param n 中身をswapするindex
* @param m 中身をswapするindex
* @throws ArrayIndexOutOfBoundsException n, m < 0 || array.length <= n, mのとき
* @throws NullPointerException arrayがnullの場合
*/
public static void swap(float[] array, int n, int m) {
float swap = array[n];
array[n] = array[m];
array[m] = swap;
}
/**
* 配列のn番目とm番目を入れ替えます。
* @complexity O(1)
* @param array 配列
* @param n 中身をswapするindex
* @param m 中身をswapするindex
* @throws ArrayIndexOutOfBoundsException n, m < 0 || array.length <= n, mのとき
* @throws NullPointerException arrayがnullの場合
*/
public static void swap(double[] array, int n, int m) {
double swap = array[n];
array[n] = array[m];
array[m] = swap;
}
/**
* 配列のn番目とm番目を入れ替えます。
* @complexity O(1)
* @param array 配列
* @param n 中身をswapするindex
* @param m 中身をswapするindex
* @throws ArrayIndexOutOfBoundsException n, m < 0 || array.length <= n, mのとき
* @throws NullPointerException arrayがnullの場合
*/
public static void swap(char[] array, int n, int m) {
char swap = array[n];
array[n] = array[m];
array[m] = swap;
}
/**
* 配列のn番目とm番目を入れ替えます。
* @complexity O(1)
* @param array 配列
* @param n 中身をswapするindex
* @param m 中身をswapするindex
* @throws ArrayIndexOutOfBoundsException n, m < 0 || array.length <= n, mのとき
* @throws NullPointerException arrayがnullの場合
*/
public static void swap(Object[] array, int n, int m) {
Object swap = array[n];
array[n] = array[m];
array[m] = swap;
}
/**
* 配列を辞書式順序で次の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static <T extends Comparable<T>> boolean nextPermutation(T[] array) {
return nextPermutation(array, java.util.Comparator.naturalOrder());
}
/**
* 配列を辞書式順序で次の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
* @return 配列を書き換えたならばtrue
* @throws NullPointerException comparatorがnullの場合
*/
public static <T> boolean nextPermutation(T[] array, java.util.Comparator<T> comparator) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (comparator.compare(array[change], array[change + 1]) < 0) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0)
if (comparator.compare(array[change], array[mid = min + halfDiff]) < 0) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で次の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean nextPermutation(byte[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] < array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] < array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で次の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean nextPermutation(short[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] < array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] < array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で次の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean nextPermutation(int[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] < array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] < array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で次の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean nextPermutation(long[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] < array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] < array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で次の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean nextPermutation(float[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] < array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] < array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で次の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean nextPermutation(double[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] < array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] < array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で次の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean nextPermutation(char[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] < array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] < array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で前の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static <T extends Comparable<T>> boolean prevPermutation(T[] array) {
return prevPermutation(array, java.util.Comparator.naturalOrder());
}
/**
* 配列を辞書式順序で前の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @param comparator 比較関数
* @return 配列を書き換えたならばtrue
* @throws NullPointerException comparatorがnullの場合
*/
public static <T> boolean prevPermutation(T[] array, java.util.Comparator<T> comparator) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (comparator.compare(array[change], array[change + 1]) > 0) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0)
if (comparator.compare(array[change], array[mid = min + halfDiff]) > 0) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で前の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean prevPermutation(byte[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] > array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] > array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で前の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean prevPermutation(short[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] > array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] > array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で前の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean prevPermutation(int[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] > array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] > array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で前の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean prevPermutation(long[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] > array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] > array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で前の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean prevPermutation(float[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] > array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] > array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で前の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean prevPermutation(double[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] > array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] > array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列を辞書式順序で前の配列に書き換えます。そのような配列が無い場合、何もしません。
* @complexity O(array.length)
* @param array 配列
* @return 配列を書き換えたならばtrue
*/
public static boolean prevPermutation(char[] array) {
if (array == null) return false;
for (int change = array.length - 2; change >= 0; --change) {
if (array[change] > array[change + 1]) {
int min = change, max = array.length, halfDiff, mid;
while ((halfDiff = max - min >> 1) != 0) if (array[change] > array[mid = min + halfDiff]) min = mid;
else max = mid;
swap(array, change, min);
for (min = change + 1, max = array.length - 1; min < max; ++min, --max) swap(array, min, max);
return true;
}
}
return false;
}
/**
* 配列の各要素を与えられた関数に適用した配列を生成します。
* @complexity O(array.length)
* @param array 配列
* @param map 各要素に適用する関数
* @return 配列の各要素にmapを適用した配列
*/
public static <T> T[] map(T[] array, java.util.function.UnaryOperator<T> map) {
T[] ret = java.util.Arrays.copyOf(array, array.length);
for (int i = 0; i < ret.length; ++i) ret[i] = map.apply(ret[i]);
return ret;
}
/**
* 配列の各要素を与えられた関数に適用した配列を生成します。
* @complexity O(array.length)
* @param array 配列
* @param map 各要素に適用する関数
* @return 配列の各要素にmapを適用した配列
*/
public static int[] map(int[] array, java.util.function.IntUnaryOperator map) {
int[] ret = java.util.Arrays.copyOf(array, array.length);
for (int i = 0; i < ret.length; ++i) ret[i] = map.applyAsInt(ret[i]);
return ret;
}
/**
* 配列の各要素を与えられた関数に適用した配列を生成します。
* @complexity O(array.length)
* @param array 配列
* @param map 各要素に適用する関数
* @return 配列の各要素にmapを適用した配列
*/
public static long[] map(long[] array, java.util.function.LongUnaryOperator map) {
long[] ret = java.util.Arrays.copyOf(array, array.length);
for (int i = 0; i < ret.length; ++i) ret[i] = map.applyAsLong(ret[i]);
return ret;
}
/**
* 配列の各要素を与えられた関数に適用した配列を生成します。
* @complexity O(array.length)
* @param array 配列
* @param map 各要素に適用する関数
* @return 配列の各要素にmapを適用した配列
*/
public static double[] map(double[] array, java.util.function.DoubleUnaryOperator map) {
double[] ret = java.util.Arrays.copyOf(array, array.length);
for (int i = 0; i < ret.length; ++i) ret[i] = map.applyAsDouble(ret[i]);
return ret;
}
/**
* 配列の各要素を与えられた関数に適用した配列を生成します。
* @complexity O(array.length)
* @param array 配列
* @param map 各要素に適用する関数
* @param generator 新しい配列を生成するための関数、U::newを引数に取る
* @return 配列の各要素にmapを適用した配列
*/
public static <T, U> U[] map(T[] array, java.util.function.Function<T, U> map,
java.util.function.IntFunction<U[]> generator) {
U[] ret = generator.apply(array.length);
for (int i = 0; i < ret.length; ++i) ret[i] = map.apply(array[i]);
return ret;
}
/**
* 配列を昇順にソートします。
* @complexity O(array.length)
* @param array 配列
*/
public static void sort(final byte[] array) {
if (array.length < 128) {
for (int i = 0, j; i < array.length; ++i) {
byte tmp = array[i], tmp2;
for (j = i; j > 0 && (tmp2 = array[j - 1]) > tmp; --j) array[j] = tmp2;
array[j] = tmp;
}
return;
}
int[] count = new int[256];
for (byte i : array) ++count[i & 0xff];
for (int i = 0, j = 0; j < count.length; ++j) java.util.Arrays.fill(array, i, i += count[j], (byte) j);
}
/**
* 配列を昇順にソートします。
* @complexity O(toIndex-fromIndex)
* @param array 配列
*/
public static void sort(final byte[] array, int fromIndex, int toIndex) {
if (toIndex - fromIndex < 128) {
for (int i = fromIndex, j; i < toIndex; ++i) {
byte tmp = array[i], tmp2;
for (j = i; j > fromIndex && (tmp2 = array[j - 1]) > tmp; --j) array[j] = tmp2;
array[j] = tmp;
}
return;
}
int[] count = new int[256];
for (int i = fromIndex; i < toIndex; ++i) ++count[array[i] & 0xff];
for (int i = fromIndex, j = 0; j < count.length; ++j)
java.util.Arrays.fill(array, i, i += count[j], (byte) j);
}
/**
* 配列を昇順にソートします。
* @complexity O(range.getDistance())
* @param array 配列
*/
public static void sort(final byte[] array, IntRange range) {
sort(array, range.getClosedLower(), range.getOpenUpper());
}
/**
* 配列を昇順にソートします。
* @complexity Nを配列長として O(N log N)
* @param array 配列
*/
public static void sort(final short[] array) {
if (array.length < 1024) java.util.Arrays.sort(array);
else sort(array, 0, array.length, 0, new short[array.length]);
}
/**
* 配列を昇順にソートします。
* @complexity N=toIndex-fromIndex として O(N log N)
* @param array 元の配列
* @param fromIndex ソートする左閉区間
* @param toIndex ソートする右開区間
*/
public static void sort(final short[] array, int fromIndex, int toIndex) {
if (toIndex - fromIndex < 1024) java.util.Arrays.sort(array, fromIndex, toIndex);
else sort(array, fromIndex, toIndex, 0, new short[array.length]);
}
/**
* 配列を昇順にソートします。
* @complexity N=range.getDistance() として O(N log N)
* @param array 元の配列
* @param fromIndex ソートする左閉区間
* @param toIndex ソートする右開区間
*/
public static void sort(final short[] array, IntRange range) {
sort(array, range.getClosedLower(), range.getOpenUpper());
}
private static final void sort(short[] a, final int from, final int to, final int l, final short[] bucket) {
final int BUCKET_SIZE = 256;
final int SHORT_RECURSION = 2;
final int MASK = 0xff;
final int shift = l << 3;
final int[] cnt = new int[BUCKET_SIZE + 1];
final int[] put = new int[BUCKET_SIZE];
for (int i = from; i < to; i++) ++cnt[(a[i] >>> shift & MASK) + 1];
for (int i = 0; i < BUCKET_SIZE; i++) cnt[i + 1] += cnt[i];
for (int i = from; i < to; i++) {
int bi = a[i] >>> shift & MASK;
bucket[cnt[bi] + put[bi]++] = a[i];
}
for (int i = BUCKET_SIZE - 1, idx = from; i >= 0; i--) {
int begin = cnt[i];
int len = cnt[i + 1] - begin;
System.arraycopy(bucket, begin, a, idx, len);
idx += len;
}
final int nxtL = l + 1;
if (nxtL < SHORT_RECURSION) {
sort(a, from, to, nxtL, bucket);
if (l == 0) {
int lft, rgt;
lft = from - 1;
rgt = to;
while (rgt - lft > 1) {
int mid = lft + rgt >> 1;
if (a[mid] < 0) lft = mid;
else rgt = mid;
}
reverse(a, from, rgt);
reverse(a, rgt, to);
}
}
}
/**
* 配列を昇順にソートします。
* @complexity Nを配列長として O(N log N)
* @param array 配列
*/
public static void sort(final int[] array) {
if (array.length < 1024) java.util.Arrays.sort(array);
else sort(array, 0, array.length, 0, new int[array.length]);
}
/**
* 配列を昇順にソートします。
* @complexity N=toIndex-fromIndex として O(N log N)
* @param array 元の配列
* @param fromIndex ソートする左閉区間
* @param toIndex ソートする右開区間
*/
public static void sort(final int[] array, int fromIndex, int toIndex) {
if (toIndex - fromIndex < 1024) java.util.Arrays.sort(array, fromIndex, toIndex);
else sort(array, fromIndex, toIndex, 0, new int[array.length]);
}
/**
* 配列を昇順にソートします。
* @complexity N=range.getDistance() として O(N log N)
* @param array 元の配列
* @param fromIndex ソートする左閉区間
* @param toIndex ソートする右開区間
*/
public static void sort(final int[] array, IntRange range) {
sort(array, range.getClosedLower(), range.getOpenUpper());
}
private static final void sort(int[] a, final int from, final int to, final int l, final int[] bucket) {
final int BUCKET_SIZE = 256;
final int INT_RECURSION = 4;
final int MASK = 0xff;
final int shift = l << 3;
final int[] cnt = new int[BUCKET_SIZE + 1];
final int[] put = new int[BUCKET_SIZE];
for (int i = from; i < to; i++) ++cnt[(a[i] >>> shift & MASK) + 1];
for (int i = 0; i < BUCKET_SIZE; i++) cnt[i + 1] += cnt[i];
for (int i = from; i < to; i++) {
int bi = a[i] >>> shift & MASK;
bucket[cnt[bi] + put[bi]++] = a[i];
}
for (int i = BUCKET_SIZE - 1, idx = from; i >= 0; i--) {
int begin = cnt[i];
int len = cnt[i + 1] - begin;
System.arraycopy(bucket, begin, a, idx, len);
idx += len;
}
final int nxtL = l + 1;
if (nxtL < INT_RECURSION) {
sort(a, from, to, nxtL, bucket);
if (l == 0) {
int lft, rgt;
lft = from - 1;
rgt = to;
while (rgt - lft > 1) {
int mid = lft + rgt >> 1;
if (a[mid] < 0) lft = mid;
else rgt = mid;
}
reverse(a, from, rgt);
reverse(a, rgt, to);
}
}
}
/**
* 配列を昇順にソートします。
* @complexity Nを配列長として O(N log N)
* @param array 配列
*/
public static void sort(final long[] array) {
if (array.length < 1024) java.util.Arrays.sort(array);
else sort(array, 0, array.length, 0, new long[array.length]);
}
/**
* 配列を昇順にソートします。
* @complexity N=toIndex-fromIndex として O(N log N)
* @param array 元の配列
* @param fromIndex ソートする左閉区間
* @param toIndex ソートする右開区間
*/
public static void sort(final long[] array, int fromIndex, int toIndex) {
if (toIndex - fromIndex < 1024) java.util.Arrays.sort(array, fromIndex, toIndex);
else sort(array, fromIndex, toIndex, 0, new long[array.length]);
}
/**
* 配列を昇順にソートします。
* @complexity N=range.getDistance() として O(N log N)
* @param array 元の配列
* @param fromIndex ソートする左閉区間
* @param toIndex ソートする右開区間
*/
public static void sort(final long[] array, IntRange range) {
sort(array, range.getClosedLower(), range.getOpenUpper());
}
private static final void sort(long[] a, final int from, final int to, final int l, final long[] bucket) {
final int BUCKET_SIZE = 256;
final int LONG_RECURSION = 8;
final int MASK = 0xff;
final int shift = l << 3;
final int[] cnt = new int[BUCKET_SIZE + 1];
final int[] put = new int[BUCKET_SIZE];
for (int i = from; i < to; i++) ++cnt[(int) ((a[i] >>> shift & MASK) + 1)];
for (int i = 0; i < BUCKET_SIZE; i++) cnt[i + 1] += cnt[i];
for (int i = from; i < to; i++) {
int bi = (int) (a[i] >>> shift & MASK);
bucket[cnt[bi] + put[bi]++] = a[i];
}
for (int i = BUCKET_SIZE - 1, idx = from; i >= 0; i--) {
int begin = cnt[i];
int len = cnt[i + 1] - begin;
System.arraycopy(bucket, begin, a, idx, len);
idx += len;
}
final int nxtL = l + 1;
if (nxtL < LONG_RECURSION) {
sort(a, from, to, nxtL, bucket);
if (l == 0) {
int lft, rgt;
lft = from - 1;
rgt = to;
while (rgt - lft > 1) {
int mid = lft + rgt >> 1;
if (a[mid] < 0) lft = mid;
else rgt = mid;
}
reverse(a, from, rgt);
reverse(a, rgt, to);
}
}
}
/**
* 座標圧縮した配列を返します。
* この関数によって返される配列をretとしたとき、retは次の条件を満たします。
* <ul>
* <li>任意の正整数nに対し、contains(ret, n)がtrueならcontains(ret, n-1)もtrue</li>
* <li>0≦i, j<nを満たすi, jに対し、array[i]<array[j]ならret[i]<ret[j]</li>
* <li>0≦i, j<nを満たすi, jに対し、array[i]==array[j]ならret[i]==ret[j]</li>
* </ul>
* @complexity Nを配列長として O(N log N)
* @param array 座標圧縮を行う配列
* @return arrayを座標圧縮した配列
*/
public static int[] compress(int[] array) {
int[] ret = new int[array.length];
int[] copy = java.util.Arrays.copyOf(array, array.length);
sort(copy);
int len = 1;
for (int j = 1; j < array.length; ++j) {
if (copy[len - 1] != copy[j]) copy[len++] = copy[j];
}
for (int i = 0; i < array.length; ++i) {
int min = 0, max = len;
int comp = array[i];
while (max - min > 1) {
int mid = min + max >> 1;
if (copy[mid] <= comp) min = mid;
else max = mid;
}
ret[i] = min;
}
return ret;
}
/**
* 座標圧縮した配列を返します。
* この関数によって返される配列をretとしたとき、retは次の条件を満たします。
* <ul>
* <li>任意の正整数nに対し、contains(ret, n)がtrueならcontains(ret, n-1)もtrue</li>
* <li>0≦i, j<nを満たすi, jに対し、array[i]<array[j]ならret[i]<ret[j]</li>
* <li>0≦i, j<nを満たすi, jに対し、array[i]==array[j]ならret[i]==ret[j]</li>
* </ul>
* @complexity Nを配列長として O(N log N)
* @param array 座標圧縮を行う配列
* @return arrayを座標圧縮した配列
*/
public static int[] compress(long[] array) {
int[] ret = new int[array.length];
long[] copy = java.util.Arrays.copyOf(array, array.length);
sort(copy);
int len = 1;
for (int j = 1; j < array.length; ++j) {
if (copy[len - 1] != copy[j]) copy[len++] = copy[j];
}
for (int i = 0; i < array.length; ++i) {
int min = 0, max = len;
long comp = array[i];
while (max - min > 1) {
int mid = min + max >> 1;
if (copy[mid] <= comp) min = mid;
else max = mid;
}
ret[i] = min;
}
return ret;
}
/**
* 座標圧縮した配列を返します。
* この関数によって返される配列をretとしたとき、retは次の条件を満たします。
* <ul>
* <li>任意の正整数nに対し、contains(ret, n)がtrueならcontains(ret, n-1)もtrue</li>
* <li>0≦i, j<nを満たすi, jに対し、array[i]<array[j]ならret[i]<ret[j]</li>
* <li>0≦i, j<nを満たすi, jに対し、array[i]==array[j]ならret[i]==ret[j]</li>
* </ul>
* @complexity Nを配列長として O(N log N)
* @param array 座標圧縮を行う配列
* @return arrayを座標圧縮した配列
*/
public static <T extends Comparable<T>> int[] compress(T[] array) {
int[] ret = new int[array.length];
T[] copy = java.util.Arrays.copyOf(array, array.length);
java.util.Arrays.sort(copy);
int len = 1;
for (int j = 1; j < array.length; ++j) {
if (copy[len - 1] != copy[j]) copy[len++] = copy[j];
}
for (int i = 0; i < array.length; ++i) {
int min = 0, max = len;
T comp = array[i];
while (max - min > 1) {
int mid = min + max >> 1;
if (copy[mid].compareTo(comp) <= 0) min = mid;
else max = mid;
}
ret[i] = min;
}
return ret;
}
/**
* 座標圧縮した配列を返します。
* この関数によって返される配列をretとしたとき、retは次の条件を満たします。
* <ul>
* <li>任意の正整数nに対し、contains(ret, n)がtrueならcontains(ret, n-1)もtrue</li>
* <li>0≦i, j<nを満たすi, jに対し、array[i]<array[j]ならret[i]<ret[j]</li>
* <li>0≦i, j<nを満たすi, jに対し、array[i]==array[j]ならret[i]==ret[j]</li>
* </ul>
* @complexity Nを配列長として O(N log N)
* @param array 座標圧縮を行う配列
* @param comparator 比較関数
* @return arrayを座標圧縮した配列
*/
public static <T> int[] compress(T[] array, java.util.Comparator<T> comparator) {
int[] ret = new int[array.length];
T[] copy = java.util.Arrays.copyOf(array, array.length);
java.util.Arrays.sort(copy, comparator);
int len = 1;
for (int j = 1; j < array.length; ++j) {
if (!copy[len - 1].equals(copy[j])) copy[len++] = copy[j];
}
for (int i = 0; i < array.length; ++i) {
int min = 0, max = len;
T comp = array[i];
while (max - min > 1) {
int mid = min + max >> 1;
if (comparator.compare(copy[mid], comp) <= 0) min = mid;
else max = mid;
}
ret[i] = min;
}
return ret;
}
/**
* 座標圧縮した配列を返します。
* この関数によって返される配列をretとしたとき、retは次の条件を満たします。
* <ul>
* <li>任意の正整数nに対し、contains(ret, n)がtrueならcontains(ret, n-1)もtrue</li>
* <li>0≦i, j<nを満たすi, jに対し、list[i]<list[j]ならret[i]<ret[j]</li>
* <li>0≦i, j<nを満たすi, jに対し、list[i]==list[j]ならret[i]==ret[j]</li>
* </ul>
* @complexity Nをリスト長として O(N log N)
* @param list 座標圧縮を行うリスト
* @return listを座標圧縮した配列
* @throws NullPointerException listがnullの場合
*/
public static <T extends Comparable<T>> int[] compress(java.util.List<T> list) {
int size = list.size();
int[] ret = new int[size];
java.util.ArrayList<T> copy = new java.util.ArrayList<>(list);
copy.sort(java.util.Comparator.naturalOrder());
int len = 1;
for (int j = 1; j < size; ++j) {
if (!copy.get(len - 1).equals(copy.get(j))) copy.set(len++, copy.get(j));
}
java.util.Iterator<T> iter = list.iterator();
for (int i = 0; i < size; ++i) {
int min = 0, max = len;
T comp = iter.next();
while (max - min > 1) {
int mid = min + max >> 1;
if (copy.get(mid).compareTo(comp) <= 0) min = mid;
else max = mid;
}
ret[i] = min;
}
return ret;
}
/**
* 座標圧縮した配列を返します。
* この関数によって返される配列をretとしたとき、retは次の条件を満たします。
* <ul>
* <li>任意の正整数nに対し、contains(ret, n)がtrueならcontains(ret, n-1)もtrue</li>
* <li>0≦i, j<nを満たすi, jに対し、list[i]<list[j]ならret[i]<ret[j]</li>
* <li>0≦i, j<nを満たすi, jに対し、list[i]==list[j]ならret[i]==ret[j]</li>
* </ul>
* @complexity Nをリスト長として O(N log N)
* @param list 座標圧縮を行うリスト
* @param comparator 比較関数
* @return listを座標圧縮した配列
*/
public static <T> int[] compress(java.util.List<T> list, java.util.Comparator<T> comparator) {
int[] ret = new int[list.size()];
java.util.ArrayList<T> copy = new java.util.ArrayList<>(list);
copy.sort(comparator);
int[] bit = new int[list.size() + 1];
java.util.Iterator<T> iter = list.iterator();
for (int i = 0; i < list.size(); ++i) {
int min = 0, max = list.size();
T comp = iter.next();
while (max - min > 1) {
int mid = min + max >> 1;
if (comparator.compare(copy.get(mid), comp) <= 0) min = mid;
else max = mid;
}
for (int j = max; j != 0; j -= j & -j) ret[i] += bit[j];
for (int j = max; j < bit.length; j += j & -j) ++bit[j];
}
return ret;
}
/**
* 配列の転倒数を求めます。すなわち、i<jかつarray[i]>array[j]となる(i, j)の個数を求めます。
* @complexity Nを配列長として O(N log N)
* @param array 配列
* @return 転倒数
*/
public static long inversionNumber(int[] array) {
if (array == null) return 0;
int[] copy = java.util.Arrays.copyOf(array, array.length);
sort(copy);
int[] bit = new int[array.length + 1];
long ans = (long) array.length * (array.length - 1) >> 1;
for (int i = 0; i < array.length; ++i) {
int min = 0, max = array.length;
int comp = array[i];
while (max - min > 1) {
int mid = min + max >> 1;
if (copy[mid] <= comp) min = mid;
else max = mid;
}
for (int j = max; j != 0; j -= j & -j) ans -= bit[j];
for (int j = max; j < bit.length; j += j & -j) ++bit[j];
}
return ans;
}
/**
* 配列の転倒数を求めます。すなわち、i<jかつarray[i]>array[j]となる(i, j)の個数を求めます。
* @complexity Nを配列長として O(N log N)
* @param array 配列
* @return 転倒数
*/
public static long inversionNumber(long[] array) {
if (array == null) return 0;
long[] copy = java.util.Arrays.copyOf(array, array.length);
sort(copy);
int[] bit = new int[array.length + 1];
long ans = (long) array.length * (array.length - 1) >> 1;
for (int i = 0; i < array.length; ++i) {
int min = 0, max = array.length;
long comp = array[i];
while (max - min > 1) {
int mid = min + max >> 1;
if (copy[mid] <= comp) min = mid;
else max = mid;
}
for (int j = max; j != 0; j -= j & -j) ans -= bit[j];
for (int j = max; j < bit.length; j += j & -j) ++bit[j];
}
return ans;
}
/**
* 配列の転倒数を求めます。すなわち、i<jかつarray[i]>array[j]となる(i, j)の個数を求めます。
* @complexity Nを配列長として O(N log N)
* @param array 配列
* @return 転倒数
*/
public static long inversionNumber(char[] array) {
if (array == null) return 0;
int[] a = new int[array.length];
for (int i = 0;i < array.length;++ i) a[i] = array[i];
return inversionNumber(a);
}
/**
* 配列の転倒数を求めます。すなわち、i<jかつarray[i]>array[j]となる(i, j)の個数を求めます。
* @complexity Nを配列長として O(N log N)
* @param array 配列
* @return 転倒数
*/
public static long inversionNumber(String array) {
if (array == null) return 0;
return inversionNumber(array.toCharArray());
}
/**
* 2つの配列の転倒距離を求めます。つまり、配列srcの隣接する2要素をswapして配列destと一致させるまでのswap回数の最小値を求めます。
* @complexity N=src.length, M=dest.lengthとしてO((N+M)log(N+M))
* @param src 配列
* @param dest 配列
* @return srcとdestの転倒距離、ただしsrcを隣接swapすることでdestが構築できない場合は-1
*/
public static long inversionDistance(int[] src, int[] dest) {
if (src == null || dest == null) return src == null && dest == null ? 0 : -1;
int[] copySrc = java.util.Arrays.copyOf(src, src.length),
copyDest = java.util.Arrays.copyOf(dest, dest.length);
sort(copySrc);
sort(copyDest);
if (!java.util.Arrays.equals(copySrc, copyDest)) return -1;
int[] key = new int[dest.length];
for (int i = 0; i < dest.length; ++i) {
int min = -1, max = dest.length;
int comp = dest[i];
while (max - min > 1) {
int mid = min + max >> 1;
if (copyDest[mid] < comp) min = mid;
else max = mid;
}
key[max] = i;
copyDest[max] = max == 0 ? Integer.MIN_VALUE : copyDest[max - 1];
}
int[] bit = new int[src.length + 1];
long ans = (long) src.length * (src.length - 1) >> 1;
for (int i = 0; i < src.length; ++i) {
int min = -1, max = src.length;
int comp = src[i];
while (max - min > 1) {
int mid = min + max >> 1;
if (copySrc[mid] < comp) min = mid;
else max = mid;
}
copySrc[max] = max == 0 ? Integer.MIN_VALUE : copySrc[max - 1];
max = key[max] + 1;
for (int j = max; j != 0; j -= j & -j) ans -= bit[j];
for (int j = max; j < bit.length; j += j & -j) ++bit[j];
}
return ans;
}
/**
* 2つの配列の転倒距離を求めます。つまり、配列srcの隣接する2要素をswapして配列destと一致させるまでのswap回数の最小値を求めます。
* @complexity N=src.length, M=dest.lengthとしてO((N+M)log(N+M))
* @param src 配列
* @param dest 配列
* @return srcとdestの転倒距離、ただしsrcを隣接swapすることでdestが構築できない場合は-1
*/
public static long inversionDistance(long[] src, long[] dest) {
if (src == null || dest == null) return src == null && dest == null ? 0 : -1;
long[] copySrc = java.util.Arrays.copyOf(src, src.length),
copyDest = java.util.Arrays.copyOf(dest, dest.length);
sort(copySrc);
sort(copyDest);
if (!java.util.Arrays.equals(copySrc, copyDest)) return -1;
int[] key = new int[dest.length];
for (int i = 0; i < dest.length; ++i) {
int min = -1, max = dest.length;
long comp = dest[i];
while (max - min > 1) {
int mid = min + max >> 1;
if (copyDest[mid] < comp) min = mid;
else max = mid;
}
key[max] = i;
copyDest[max] = max == 0 ? Integer.MIN_VALUE : copyDest[max - 1];
}
int[] bit = new int[src.length + 1];
long ans = (long) src.length * (src.length - 1) >> 1;
for (int i = 0; i < src.length; ++i) {
int min = -1, max = src.length;
long comp = src[i];
while (max - min > 1) {
int mid = min + max >> 1;
if (copySrc[mid] < comp) min = mid;
else max = mid;
}
copySrc[max] = max == 0 ? Integer.MIN_VALUE : copySrc[max - 1];
max = key[max] + 1;
for (int j = max; j != 0; j -= j & -j) ans -= bit[j];
for (int j = max; j < bit.length; j += j & -j) ++bit[j];
}
return ans;
}
/**
* 2つの配列の転倒距離を求めます。つまり、配列srcの隣接する2要素をswapして配列destと一致させるまでのswap回数の最小値を求めます。
* @complexity N=src.length, M=dest.lengthとしてO((N+M)log(N+M))
* @param src 配列
* @param dest 配列
* @return srcとdestの転倒距離、ただしsrcを隣接swapすることでdestが構築できない場合は-1
*/
public static long inversionDistance(char[] src, char[] dest) {
if (src == null || dest == null) return src == null && dest == null ? 0 : -1;
int[] a = new int[src.length];
for (int i = 0;i < src.length;++ i) a[i] = src[i];
int[] b = new int[dest.length];
for (int i = 0;i < dest.length;++ i) b[i] = dest[i];
return inversionDistance(a, b);
}
/**
* 2つの配列の転倒距離を求めます。つまり、配列srcの隣接する2要素をswapして配列destと一致させるまでのswap回数の最小値を求めます。
* @complexity N=src.length, M=dest.lengthとしてO((N+M)log(N+M))
* @param src 配列
* @param dest 配列
* @return srcとdestの転倒距離、ただしsrcを隣接swapすることでdestが構築できない場合は-1
*/
public static long inversionDistance(String src, String dest) {
if (src == null || dest == null) return src == null && dest == null ? 0 : -1;
return inversionDistance(src.toCharArray(), dest.toCharArray());
}
}
}
class ACL {
public static final class DisjointSetUnion {
private final int[] parent;
private DisjointSetUnion(final int n) {
parent = new int[n];
java.util.Arrays.fill(parent, -1);
}
public static DisjointSetUnion create(final int n) {
return new DisjointSetUnion(n);
}
public int getLeader(int a) {
int p1, p2;
while ((p1 = parent[a]) >= 0) {
if ((p2 = parent[p1]) >= 0) a = parent[a] = p2;
else return p1;
}
return a;
}
public int merge(int a, int b) {
a = getLeader(a);
b = getLeader(b);
if (a == b) return a;
if (parent[a] < parent[b]) {
parent[b] += parent[a];
parent[a] = b;
return b;
}
parent[a] += parent[b];
parent[b] = a;
return a;
}
public boolean isSame(final int a, final int b) {
return getLeader(a) == getLeader(b);
}
public int getSize(final int a) {
return -parent[getLeader(a)];
}
public java.util.ArrayList<java.util.ArrayList<Integer>> getGroups() {
final Object[] group = new Object[parent.length];
final java.util.ArrayList<java.util.ArrayList<Integer>> ret = new java.util.ArrayList<>();
for (int i = 0; i < parent.length; ++i) {
final int leader = getLeader(i);
final Object put = group[leader];
if (put == null) {
final java.util.ArrayList<Integer> list = new java.util.ArrayList<>();
list.add(i);
ret.add(list);
group[leader] = list;
} else {
@SuppressWarnings("unchecked")
final java.util.ArrayList<Integer> list = (java.util.ArrayList<Integer>) put;
list.add(i);
}
}
return ret;
}
@Override
public String toString() {
return getGroups().toString();
}
}
public static final class IntFenwickTree {
private final int[] array;
private IntFenwickTree(final int n) {
array = new int[n + 1];
}
private IntFenwickTree(final int[] array) {
this(array.length);
System.arraycopy(array, 0, this.array, 1, array.length);
for (int i = 1; i < this.array.length; ++i)
if (i + (i & -i) < this.array.length) this.array[i + (i & -i)] += this.array[i];
}
public static IntFenwickTree create(final int n) {
return new IntFenwickTree(n);
}
public static IntFenwickTree create(final int[] array) {
return new IntFenwickTree(array);
}
public void add(int index, final int add) {
++index;
while (index < array.length) {
array[index] += add;
index += index & -index;
}
}
private int sum(int index) {
int sum = 0;
while (index > 0) {
sum += array[index];
index -= index & -index;
}
return sum;
}
public int sum(final int l, final int r) {
return sum(r) - sum(l);
}
@Override
public String toString() {
return java.util.stream.IntStream.range(0, array.length - 1)
.mapToObj(i -> String.valueOf(sum(i + 1) - sum(i)))
.collect(java.util.stream.Collectors.joining(", ", "[", "]"));
}
}
public static final class LongFenwickTree {
private final long[] array;
private LongFenwickTree(final int n) {
array = new long[n + 1];
}
private LongFenwickTree(final long[] array) {
this(array.length);
System.arraycopy(array, 0, this.array, 1, array.length);
for (int i = 1; i < this.array.length; ++i)
if (i + (i & -i) < this.array.length) this.array[i + (i & -i)] += this.array[i];
}
public static LongFenwickTree create(final int n) {
return new LongFenwickTree(n);
}
public static LongFenwickTree create(final long[] array) {
return new LongFenwickTree(array);
}
public void add(int index, final long add) {
++index;
while (index < array.length) {
array[index] += add;
index += index & -index;
}
}
private long sum(int index) {
long sum = 0;
while (index > 0) {
sum += array[index];
index -= index & -index;
}
return sum;
}
public long sum(final int l, final int r) {
return sum(r) - sum(l);
}
@Override
public String toString() {
return java.util.stream.IntStream.range(0, array.length - 1)
.mapToObj(i -> String.valueOf(sum(i + 1) - sum(i)))
.collect(java.util.stream.Collectors.joining(", ", "[", "]"));
}
}
public static final class MathLib {
public static class Barrett {
private final int mod;
private final long h, l;
private final long MAX = 1L << 62;
private final int MASK = (1 << 31) - 1;
Barrett(final int mod) {
this.mod = mod;
final long t = MAX / mod;
h = t >>> 31;
l = t & MASK;
}
int reduce(final long x) {
final long xh = x >>> 31, xl = x & MASK;
long z = xl * l;
z = xl * h + xh * l + (z >>> 31);
z = xh * h + (z >>> 31);
final int ret = (int) (x - z * mod);
return ret >= mod ? ret - mod : ret;
}
}
public static class BarrettSmall {
private final int mod;
final long t;
BarrettSmall(final int mod) {
this.mod = mod;
t = (1L << 42) / mod;
}
int reduce(long x) {
long q = x * t >> 42;
x -= q * mod;
return (int) (x >= mod ? x - mod : x);
}
}
private static long safe_mod(long x, final long m) {
x %= m;
if (x < 0) x += m;
return x;
}
private static long[] inv_gcd(long a, final long b) {
a = safe_mod(a, b);
if (a == 0) return new long[] { b, 0 };
long s = b, t = a;
long m0 = 0, m1 = 1;
while (t > 0) {
final long u = s / t;
s -= t * u;
m0 -= m1 * u;
long tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
if (m0 < 0) m0 += b / s;
return new long[] { s, m0 };
}
public static int pow(long n, long m, final int mod) {
assert m >= 0 && mod >= 1;
if (mod == 1) return 0;
return pow(n, m, new Barrett(mod));
}
public static int pow(long n, long m, Barrett mod) {
assert m >= 0;
long ans = 1, num = n % mod.mod;
while (m != 0) {
if ((m & 1) != 0) ans = mod.reduce(ans * num);
m >>>= 1;
num = mod.reduce(num * num);
}
return (int) ans;
}
public static int pow998_244_353(long n, long m) {
assert m >= 0;
long ans = 1, num = n % 998_244_353;
while (m != 0) {
if ((m & 1) != 0) ans = ans * num % 998_244_353;
m >>>= 1;
num = num * num % 998_244_353;
}
return (int) ans;
}
public static int pow167_772_161(long n, long m) {
assert m >= 0;
long ans = 1, num = n % 167_772_161;
while (m != 0) {
if ((m & 1) != 0) ans = ans * num % 167_772_161;
m >>>= 1;
num = num * num % 167_772_161;
}
return (int) ans;
}
public static int pow469_762_049(long n, long m) {
assert m >= 0;
long ans = 1, num = n % 469_762_049;
while (m != 0) {
if ((m & 1) != 0) ans = ans * num % 469_762_049;
m >>>= 1;
num = num * num % 469_762_049;
}
return (int) ans;
}
public static int pow1_000_000_007(long n, long m) {
assert m >= 0;
long ans = 1, num = n % 1_000_000_007;
while (m != 0) {
if ((m & 1) != 0) ans = ans * num % 1_000_000_007;
m >>>= 1;
num = num * num % 1_000_000_007;
}
return (int) ans;
}
public static int pow(long n, long m, BarrettSmall mod) {
assert m >= 0;
long ans = 1, num = n % mod.mod;
while (m != 0) {
if ((m & 1) != 0) ans = mod.reduce(ans * num);
m >>>= 1;
num = mod.reduce(num * num);
}
return (int) ans;
}
public static long[] crt(final long[] r, final long[] m) {
assert r.length == m.length;
final int n = r.length;
long r0 = 0, m0 = 1;
for (int i = 0; i < n; i++) {
assert 1 <= m[i];
long r1 = safe_mod(r[i], m[i]), m1 = m[i];
if (m0 < m1) {
long tmp = r0;
r0 = r1;
r1 = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
if (m0 % m1 == 0) {
if (r0 % m1 != r1) return new long[] { 0, 0 };
continue;
}
final long[] ig = inv_gcd(m0, m1);
final long g = ig[0], im = ig[1];
final long u1 = m1 / g;
if ((r1 - r0) % g != 0) return new long[] { 0, 0 };
final long x = (r1 - r0) / g % u1 * im % u1;
r0 += x * m0;
m0 *= u1;
if (r0 < 0) r0 += m0;
// System.err.printf("%d %d\n", r0, m0);
}
return new long[] { r0, m0 };
}
public static long floor_sum(final long n, final long m, long a, long b) {
long ans = 0;
if (a >= m) {
ans += (n - 1) * n * (a / m) / 2;
a %= m;
}
if (b >= m) {
ans += n * (b / m);
b %= m;
}
final long y_max = (a * n + b) / m;
final long x_max = y_max * m - b;
if (y_max == 0) return ans;
ans += (n - (x_max + a - 1) / a) * y_max;
ans += floor_sum(y_max, a, m, (a - x_max % a) % a);
return ans;
}
/**
* aとbの最大公約数を返します。
* @param a 整数
* @param b 整数
* @return 最大公約数
*/
public static int gcd(int a, int b) {
while (a != 0) if ((b %= a) != 0) a %= b;
else return a;
return b;
}
/**
* 配列全ての値の最大公約数を返します。
* @param array 配列
* @return 最大公約数
*/
public static int gcd(int... array) {
int ret = array[0];
for (int i = 1; i < array.length; ++i) ret = gcd(ret, array[i]);
return ret;
}
/**
* aとbの最大公約数を返します。
* @param a 整数
* @param b 整数
* @return 最大公約数
*/
public static long gcd(long a, long b) {
while (a != 0) if ((b %= a) != 0) a %= b;
else return a;
return b;
}
/**
* 配列全ての値の最大公約数を返します。
* @param array 配列
* @return 最大公約数
*/
public static long gcd(long... array) {
long ret = array[0];
for (int i = 1; i < array.length; ++i) ret = gcd(ret, array[i]);
return ret;
}
/**
* 配列全ての値の最小公倍数を返します。
* @param a 整数
* @param b 整数
* @return 最小公倍数
*/
public static long lcm(int a, int b) {
return a / gcd(a, b) * (long) b;
}
/**
* 配列全ての値の最小公倍数を返します。
* @param a 整数
* @param b 整数
* @return 最小公倍数
*/
public static long lcm(long a, long b) {
return a / gcd(a, b) * b;
}
/**
* 配列全ての値の最小公倍数を返します。
* @param array 配列
* @return 最小公倍数
*/
public static long lcm(int... array) {
long ret = array[0];
for (int i = 1; i < array.length; ++i) ret = lcm(ret, array[i]);
return ret;
}
/**
* aとbのうち、小さい方を返します。
* @param a 整数
* @param b 整数
* @return aとbのうち小さい方の値
*/
public static int min(int a, int b) {
return a < b ? a : b;
}
/**
* 配列の中で最小の値を返します。
* @param array 配列
* @return 配列の中で最小の値
*/
public static int min(int... array) {
int ret = array[0];
for (int i = 1; i < array.length; ++i) ret = min(ret, array[i]);
return ret;
}
/**
* aとbのうち、小さい方を返します。
* @param a 整数
* @param b 整数
* @return aとbのうち小さい方の値
*/
public static long min(long a, long b) {
return a < b ? a : b;
}
/**
* 配列の中で最小の値を返します。
* @param array 配列
* @return 配列の中で最小の値
*/
public static long min(long... array) {
long ret = array[0];
for (int i = 1; i < array.length; ++i) ret = min(ret, array[i]);
return ret;
}
/**
* aとbのうち、大きい方を返します。
* @param a 整数
* @param b 整数
* @return aとbのうち大きい方の値
*/
public static int max(int a, int b) {
return a > b ? a : b;
}
/**
* 配列の中で最大の値を返します。
* @param array 配列
* @return 配列の中で最大の値
*/
public static int max(int... array) {
int ret = array[0];
for (int i = 1; i < array.length; ++i) ret = max(ret, array[i]);
return ret;
}
/**
* aとbのうち、大きい方を返します。
* @param a 整数
* @param b 整数
* @return aとbのうち大きい方の値
*/
public static long max(long a, long b) {
return a > b ? a : b;
}
/**
* 配列の中で最大の値を返します。
* @param array 配列
* @return 配列の中で最大の値
*/
public static long max(long... array) {
long ret = array[0];
for (int i = 1; i < array.length; ++i) ret = max(ret, array[i]);
return ret;
}
/**
* 配列の値の合計を返します。
* @param array 配列
* @return 配列の値の総和
*/
public static long sum(int... array) {
long ret = 0;
for (int i : array) ret += i;
return ret;
}
/**
* 配列の値の合計を返します。
* @param array 配列
* @return 配列の値の総和
*/
public static long sum(long... array) {
long ret = 0;
for (long i : array) ret += i;
return ret;
}
/**
* 二項係数を列挙した配列を返します。
* @param l 左辺
* @param r 右辺
* @return 0≦i≦l及び0≦j≦rを満たす全てのi, jに対してi choose jを求めた配列
*/
public static long[][] combination(int l, int r) {
long[][] pascal = new long[l + 1][r + 1];
pascal[0][0] = 1;
for (int i = 1; i <= l; ++i) {
pascal[i][0] = 1;
for (int j = 1; j <= r; ++j) {
pascal[i][j] = pascal[i - 1][j - 1] + pascal[i - 1][j];
}
}
return pascal;
}
/**
* 二分探索を行い、func(x) != func(x+1)となるような数xを発見します。
* funcが単調な関数であるとき、発見されるxは一意に定まります。
* @param isTrue func(isTrue)=trueとなるような値
* @param isFalse func(isFalse)=falseとなるような値
* @param func 関数
* @complexity O(log(max(isTrue, isFalse) - min(isTrue, isFalse)))
* @return func(x) != func(x+1)となるような数x
*/
public static int binarySearch(int isTrue, int isFalse, java.util.function.IntPredicate func) {
if (isTrue <= isFalse) {
int halfDiff = isFalse - isTrue >> 1, mid = isTrue + halfDiff;
while(halfDiff != 0) {
if (func.test(mid)) isTrue = mid;
else isFalse = mid;
halfDiff = isFalse - isTrue >> 1;
mid = isTrue + halfDiff;
}
return isTrue;
} else {
int halfDiff = isTrue - isFalse >> 1, mid = isFalse + halfDiff;
while(halfDiff != 0) {
if (func.test(mid)) isTrue = mid;
else isFalse = mid;
halfDiff = isTrue - isFalse >> 1;
mid = isFalse + halfDiff;
}
return isFalse;
}
}
/**
* 二分探索を行い、func(x) != func(x+1)となるような数xを発見します。
* funcが単調な関数であるとき、発見されるxは一意に定まります。
* @param isTrue func(isTrue)=trueとなるような値
* @param isFalse func(isFalse)=falseとなるような値
* @param func 関数
* @complexity O(log(max(isTrue, isFalse) - min(isTrue, isFalse)))
* @return func(x) != func(x+1)となるような数x
*/
public static long binarySearch(long isTrue, long isFalse, java.util.function.LongPredicate func) {
if (isTrue <= isFalse) {
long halfDiff = isFalse - isTrue >> 1, mid = isTrue + halfDiff;
while(halfDiff != 0) {
if (func.test(mid)) isTrue = mid;
else isFalse = mid;
halfDiff = isFalse - isTrue >> 1;
mid = isTrue + halfDiff;
}
return isTrue;
} else {
long halfDiff = isTrue - isFalse >> 1, mid = isFalse + halfDiff;
while(halfDiff != 0) {
if (func.test(mid)) isTrue = mid;
else isFalse = mid;
halfDiff = isTrue - isFalse >> 1;
mid = isFalse + halfDiff;
}
return isFalse;
}
}
/**
* 二分探索を行い、func(x) != func(x+Math.nextUp(x))となるような数xを発見します。
* funcが単調な関数であるとき、発見されるxは一意に定まります。
* @param isTrue func(isTrue)=trueとなるような値
* @param isFalse func(isFalse)=falseとなるような値
* @param func 関数
* @complexity O(log(max(isTrue, isFalse) - min(isTrue, isFalse)))
* @return func(x) != func(x+Math.nextUp(x))となるような数x
*/
public static double binarySearch(double isTrue, double isFalse, java.util.function.DoublePredicate func) {
return Double.longBitsToDouble(binarySearch(Double.doubleToRawLongBits(isTrue), Double.doubleToRawLongBits(isFalse), (long i) -> func.test(Double.longBitsToDouble(i))));
}
/**
* 下に凸な関数の極小値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param loop 探索回数
* @param func 関数
* @return 極小値
*/
public static <T extends Comparable<T>> double find_minimal(double min, double max, int loop, java.util.function.DoubleFunction<T> func) {
return find_minimal(min, max, loop, func, java.util.Comparator.naturalOrder());
}
/**
* 下に凸な関数の極小値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param loop 探索回数
* @param func 関数
* @param comparator 比較関数
* @return 極小値
*/
public static <T> double find_minimal(double min, double max, int loop, java.util.function.DoubleFunction<T> func, java.util.Comparator<T> comparator) {
double phi = (1 + Math.sqrt(5)) / 2;
for (int i = 0;i < loop;++ i) {
double mid_min = (min * phi + max) / (1 + phi), mid_max = (min + max * phi) / (1 + phi);
T mid_min_calc = func.apply(mid_min), mid_max_calc = func.apply(mid_max);
if (comparator.compare(mid_min_calc, mid_max_calc) <= 0) max = mid_max;
else min = mid_min;
}
return min;
}
/**
* 上に凸な関数の極大値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param loop 探索回数
* @param func 関数
* @return 極大値
*/
public static <T extends Comparable<T>> double find_maximal(double min, double max, int loop, java.util.function.DoubleFunction<T> func) {
return find_maximal(min, max, loop, func, java.util.Comparator.naturalOrder());
}
/**
* 上に凸な関数の極大値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param loop 探索回数
* @param func 関数
* @param comparator 比較関数
* @return 極大値
*/
public static <T> double find_maximal(double min, double max, int loop, java.util.function.DoubleFunction<T> func, java.util.Comparator<T> comparator) {
if (max <= min) throw new IllegalArgumentException("empty range");
double phi = (1 + Math.sqrt(5)) / 2;
for (int i = 0;i < loop;++ i) {
double mid_min = (min * phi + max) / (1 + phi), mid_max = (min + max * phi) / (1 + phi);
T mid_min_calc = func.apply(mid_min), mid_max_calc = func.apply(mid_max);
if (comparator.compare(mid_min_calc, mid_max_calc) >= 0) max = mid_max;
else min = mid_min;
}
return min;
}
/**
* 下に凸な関数の極小値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param func 関数
* @return 極小値
*/
public static <T extends Comparable<T>> int find_minimal(int min, int max, java.util.function.IntFunction<T> func) {
return find_minimal(min, max, func, java.util.Comparator.naturalOrder());
}
/**
* 下に凸な関数の極小値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param func 関数
* @param comparator 比較関数
* @return 極小値
*/
public static <T> int find_minimal(int min, int max, java.util.function.IntFunction<T> func, java.util.Comparator<T> comparator) {
-- min;
int range = max - min;
if (range <= 1) throw new IllegalArgumentException("empty range");
int fib_small = 1, fib_large = 1;
while(fib_large < range) {
fib_large += fib_small;
fib_small = fib_large - fib_small;
}
T mid_min_calc = null, mid_max_calc = null;
int last_calc = -1;
final int LAST_CALC_IS_MIN = 0, LAST_CALC_IS_MAX = 1;
while(max - min > 2) {
fib_small = fib_large - fib_small;
fib_large -= fib_small;
int mid_min = min + fib_small, mid_max = min + fib_large;
if (mid_max >= max) {
mid_max_calc = mid_min_calc;
last_calc = LAST_CALC_IS_MAX;
continue;
}
if (last_calc != LAST_CALC_IS_MIN) mid_min_calc = func.apply(mid_min);
if (last_calc != LAST_CALC_IS_MAX) mid_max_calc = func.apply(mid_max);
if (comparator.compare(mid_min_calc, mid_max_calc) <= 0) {
max = mid_max;
mid_max_calc = mid_min_calc;
last_calc = LAST_CALC_IS_MAX;
} else {
min = mid_min;
mid_min_calc = mid_max_calc;
last_calc = LAST_CALC_IS_MIN;
}
}
return min + 1;
}
/**
* 上に凸な関数の極大値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param func 関数
* @return 極大値
*/
public static <T extends Comparable<T>> int find_maximal(int min, int max, java.util.function.IntFunction<T> func) {
return find_maximal(min, max, func, java.util.Comparator.naturalOrder());
}
/**
* 上に凸な関数の極大値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param func 関数
* @param comparator 比較関数
* @return 極大値
*/
public static <T> int find_maximal(int min, int max, java.util.function.IntFunction<T> func, java.util.Comparator<T> comparator) {
-- min;
int range = max - min;
if (range <= 1) throw new IllegalArgumentException("empty range");
int fib_small = 1, fib_large = 1;
while(fib_large < range) {
fib_large += fib_small;
fib_small = fib_large - fib_small;
}
T mid_min_calc = null, mid_max_calc = null;
int last_calc = -1;
final int LAST_CALC_IS_MIN = 0, LAST_CALC_IS_MAX = 1;
while(max - min > 2) {
fib_small = fib_large - fib_small;
fib_large -= fib_small;
int mid_min = min + fib_small, mid_max = min + fib_large;
if (mid_max >= max) {
mid_max_calc = mid_min_calc;
last_calc = LAST_CALC_IS_MAX;
continue;
}
if (last_calc != LAST_CALC_IS_MIN) mid_min_calc = func.apply(mid_min);
if (last_calc != LAST_CALC_IS_MAX) mid_max_calc = func.apply(mid_max);
if (comparator.compare(mid_min_calc, mid_max_calc) >= 0) {
max = mid_max;
mid_max_calc = mid_min_calc;
last_calc = LAST_CALC_IS_MAX;
} else {
min = mid_min;
mid_min_calc = mid_max_calc;
last_calc = LAST_CALC_IS_MIN;
}
}
return min + 1;
}
/**
* 下に凸な関数の極小値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param func 関数
* @return 極小値
*/
public static <T extends Comparable<T>> long find_minimal(long min, long max, java.util.function.LongFunction<T> func) {
return find_minimal(min, max, func, java.util.Comparator.naturalOrder());
}
/**
* 下に凸な関数の極小値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param func 関数
* @param comparator 比較関数
* @return 極小値
*/
public static <T> long find_minimal(long min, long max, java.util.function.LongFunction<T> func, java.util.Comparator<T> comparator) {
-- min;
long range = max - min;
if (range <= 1) throw new IllegalArgumentException("empty range");
long fib_small = 1, fib_large = 1;
while(fib_large < range) {
fib_large += fib_small;
fib_small = fib_large - fib_small;
}
T mid_min_calc = null, mid_max_calc = null;
int last_calc = -1;
final int LAST_CALC_IS_MIN = 0, LAST_CALC_IS_MAX = 1;
while(max - min > 2) {
fib_small = fib_large - fib_small;
fib_large -= fib_small;
long mid_min = min + fib_small, mid_max = min + fib_large;
if (mid_max >= max) {
mid_max_calc = mid_min_calc;
last_calc = LAST_CALC_IS_MAX;
continue;
}
if (last_calc != LAST_CALC_IS_MIN) mid_min_calc = func.apply(mid_min);
if (last_calc != LAST_CALC_IS_MAX) mid_max_calc = func.apply(mid_max);
if (comparator.compare(mid_min_calc, mid_max_calc) <= 0) {
max = mid_max;
mid_max_calc = mid_min_calc;
last_calc = LAST_CALC_IS_MAX;
} else {
min = mid_min;
mid_min_calc = mid_max_calc;
last_calc = LAST_CALC_IS_MIN;
}
}
return min + 1;
}
/**
* 上に凸な関数の極大値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param func 関数
* @return 極大値
*/
public static <T extends Comparable<T>> long find_maximal(long min, long max, java.util.function.LongFunction<T> func) {
return find_maximal(min, max, func, java.util.Comparator.naturalOrder());
}
/**
* 上に凸な関数の極大値を発見します。
* @param <T> 関数の終域
* @param min 関数の定義域の下界
* @param max 関数の定義域の上界
* @param func 関数
* @param comparator 比較関数
* @return 極大値
*/
public static <T> long find_maximal(long min, long max, java.util.function.LongFunction<T> func, java.util.Comparator<T> comparator) {
-- min;
long range = max - min;
if (range <= 1) throw new IllegalArgumentException("empty range");
long fib_small = 1, fib_large = 1;
while(fib_large < range) {
fib_large += fib_small;
fib_small = fib_large - fib_small;
}
T mid_min_calc = null, mid_max_calc = null;
int last_calc = -1;
final int LAST_CALC_IS_MIN = 0, LAST_CALC_IS_MAX = 1;
while(max - min > 2) {
fib_small = fib_large - fib_small;
fib_large -= fib_small;
long mid_min = min + fib_small, mid_max = min + fib_large;
if (mid_max >= max) {
mid_max_calc = mid_min_calc;
last_calc = LAST_CALC_IS_MAX;
continue;
}
if (last_calc != LAST_CALC_IS_MIN) mid_min_calc = func.apply(mid_min);
if (last_calc != LAST_CALC_IS_MAX) mid_max_calc = func.apply(mid_max);
if (comparator.compare(mid_min_calc, mid_max_calc) >= 0) {
max = mid_max;
mid_max_calc = mid_min_calc;
last_calc = LAST_CALC_IS_MAX;
} else {
min = mid_min;
mid_min_calc = mid_max_calc;
last_calc = LAST_CALC_IS_MIN;
}
}
return min + 1;
}
public static class BezoutCoefficients {
public final long a, b;
public final long x, y;
public final long gcd;
private BezoutCoefficients(long a, long b, long x, long y, long gcd) {
this.a = a;
this.b = b;
this.x = x;
this.y = y;
this.gcd = gcd;
}
/**
* lx≦i<rxかつly≦j<ryを満たす整数i, jであって、ai+bj=ax+byとなる解の個数を求めます。
* @param lx iの下限(これを含む)
* @param rx iの上限(これを含まない)
* @param ly jの下限(これを含む)
* @param ry jの上限(これを含まない)
* @return 解の個数
* @complexity O(1)
*/
public long countSatisfySolution(long lx, long rx, long ly, long ry) {
long ag = a / gcd, bg = b / gcd;
long la = Math.floorDiv(lx - x + bg - 1, bg), ra = Math.floorDiv(rx - x - 1, bg) + 1;
long lb = Math.floorDiv(y - ry, ag) + 1, rb = Math.floorDiv(y - ly, ag) + 1;
return Math.max(0, Math.min(ra, rb) - Math.max(la, lb));
}
@Override
public String toString() {
return "(" + x + ", " + y + "), gcd=" + gcd;
}
/**
* ax+by=gcd(a, b)となるような解を一つ求めます。
* この時、|x|≦|b/gcd(a,b)|、|y|≦|a/gcd(a,b)|であることが保証されます。
* @param a 整数
* @param b 整数
* @return 与えられた一次不定方程式の解
* @complexity O(log(min(a, b)))
*/
public static BezoutCoefficients solve(long a, long b) {
int as = Long.signum(a);
int bs = Long.signum(b);
long aa = Math.abs(a);
long ba = Math.abs(b);
long p = 1, q = 0, r = 0, s = 1;
while(ba != 0){
long c = aa / ba;
long e;
e = aa; aa = ba; ba = e % ba;
e = p; p = q; q = e - c * q;
e = r; r = s; s = e - c * s;
}
return new BezoutCoefficients(a, b, p * as, r * bs, aa);
}
/**
* ax+by=dとなるような解を一つ求めます。
* @param a 整数
* @param b 整数
* @param d 不定方程式の解
* @return 与えられた一次不定方程式の解(存在しなければnull)
* @complexity O(log(min(a, b)))
*/
public static BezoutCoefficients solve(long a, long b, long d) {
int as = Long.signum(a);
int bs = Long.signum(b);
long aa = Math.abs(a);
long ba = Math.abs(b);
long p = 1, q = 0, r = 0, s = 1;
while(ba != 0){
long c = aa / ba;
long e;
e = aa; aa = ba; ba = e % ba;
e = p; p = q; q = e - c * q;
e = r; r = s; s = e - c * s;
}
if (d % aa != 0) return null;
long divd = d / a, modd = d % a / aa;
return new BezoutCoefficients(a, b, p * as * modd + divd, r * bs * modd, aa);
}
}
}
/**
* @verified https://atcoder.jp/contests/practice2/tasks/practice2_d
*/
public static final class MaxFlow {
private static final class InternalCapEdge {
final int to;
final int rev;
long cap;
InternalCapEdge(int to, int rev, long cap) {
this.to = to;
this.rev = rev;
this.cap = cap;
}
}
public static final class CapEdge {
public final int from, to;
public final long cap, flow;
CapEdge(int from, int to, long cap, long flow) {
this.from = from;
this.to = to;
this.cap = cap;
this.flow = flow;
}
@Override
public boolean equals(Object o) {
if (o instanceof CapEdge) {
CapEdge e = (CapEdge) o;
return from == e.from && to == e.to && cap == e.cap && flow == e.flow;
}
return false;
}
}
private static final class IntPair {
final int first, second;
IntPair(int first, int second) {
this.first = first;
this.second = second;
}
}
static final long INF = Long.MAX_VALUE;
private final int n;
private final java.util.ArrayList<IntPair> pos;
private final java.util.ArrayList<InternalCapEdge>[] g;
@SuppressWarnings("unchecked")
public MaxFlow(int n) {
this.n = n;
pos = new java.util.ArrayList<>();
g = new java.util.ArrayList[n];
for (int i = 0; i < n; i++) {
g[i] = new java.util.ArrayList<>();
}
}
public int addEdge(int from, int to, long cap) {
rangeCheck(from, 0, n);
rangeCheck(to, 0, n);
nonNegativeCheck(cap, "Capacity");
int m = pos.size();
pos.add(new IntPair(from, g[from].size()));
int fromId = g[from].size();
int toId = g[to].size();
if (from == to) toId++;
g[from].add(new InternalCapEdge(to, toId, cap));
g[to].add(new InternalCapEdge(from, fromId, 0L));
return m;
}
private InternalCapEdge getInternalEdge(int i) {
return g[pos.get(i).first].get(pos.get(i).second);
}
private InternalCapEdge getInternalEdgeReversed(InternalCapEdge e) {
return g[e.to].get(e.rev);
}
public CapEdge getEdge(int i) {
int m = pos.size();
rangeCheck(i, 0, m);
InternalCapEdge e = getInternalEdge(i);
InternalCapEdge re = getInternalEdgeReversed(e);
return new CapEdge(re.to, e.to, e.cap + re.cap, re.cap);
}
public CapEdge[] getEdges() {
CapEdge[] res = new CapEdge[pos.size()];
java.util.Arrays.setAll(res, this::getEdge);
return res;
}
public void changeEdge(int i, long newCap, long newFlow) {
int m = pos.size();
rangeCheck(i, 0, m);
nonNegativeCheck(newCap, "Capacity");
if (newFlow > newCap) {
throw new IllegalArgumentException(
String.format("Flow %d is greater than the capacity %d.", newCap, newFlow));
}
InternalCapEdge e = getInternalEdge(i);
InternalCapEdge re = getInternalEdgeReversed(e);
e.cap = newCap - newFlow;
re.cap = newFlow;
}
public long maxFlow(int s, int t) {
return flow(s, t, INF);
}
public long flow(int s, int t, long flowLimit) {
rangeCheck(s, 0, n);
rangeCheck(t, 0, n);
long flow = 0L;
int[] level = new int[n];
int[] que = new int[n];
int[] iter = new int[n];
while (flow < flowLimit) {
bfs(s, t, level, que);
if (level[t] < 0) break;
java.util.Arrays.fill(iter, 0);
while (flow < flowLimit) {
long d = dfs(t, s, flowLimit - flow, iter, level);
if (d == 0) break;
flow += d;
}
}
return flow;
}
private void bfs(int s, int t, int[] level, int[] que) {
java.util.Arrays.fill(level, -1);
int hd = 0, tl = 0;
que[tl++] = s;
level[s] = 0;
while (hd < tl) {
int u = que[hd++];
for (InternalCapEdge e : g[u]) {
int v = e.to;
if (e.cap == 0 || level[v] >= 0) continue;
level[v] = level[u] + 1;
if (v == t) return;
que[tl++] = v;
}
}
}
private long dfs(int cur, int s, long flowLimit, int[] iter, int[] level) {
if (cur == s) return flowLimit;
long res = 0;
int curLevel = level[cur];
for (int itMax = g[cur].size(); iter[cur] < itMax; iter[cur]++) {
int i = iter[cur];
InternalCapEdge e = g[cur].get(i);
InternalCapEdge re = getInternalEdgeReversed(e);
if (curLevel <= level[e.to] || re.cap == 0) continue;
long d = dfs(e.to, s, Math.min(flowLimit - res, re.cap), iter, level);
if (d <= 0) continue;
e.cap += d;
re.cap -= d;
res += d;
if (res == flowLimit) break;
}
return res;
}
public boolean[] minCut(int s) {
rangeCheck(s, 0, n);
boolean[] visited = new boolean[n];
int[] stack = new int[n];
int ptr = 0;
stack[ptr++] = s;
visited[s] = true;
while (ptr > 0) {
int u = stack[--ptr];
for (InternalCapEdge e : g[u]) {
int v = e.to;
if (e.cap > 0 && !visited[v]) {
visited[v] = true;
stack[ptr++] = v;
}
}
}
return visited;
}
private void rangeCheck(int i, int minInclusive, int maxExclusive) {
if (i < 0 || i >= maxExclusive) {
throw new IndexOutOfBoundsException(
String.format("Index %d out of bounds for length %d", i, maxExclusive));
}
}
private void nonNegativeCheck(long cap, String attribute) {
if (cap < 0) { throw new IllegalArgumentException(String.format("%s %d is negative.", attribute, cap)); }
}
}
/**
* @verified
* - https://atcoder.jp/contests/practice2/tasks/practice2_e
* - http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_6_B
*/
public static final class MinCostFlow {
private static final class InternalWeightedCapEdge {
final int to, rev;
long cap;
final long cost;
InternalWeightedCapEdge(int to, int rev, long cap, long cost) {
this.to = to;
this.rev = rev;
this.cap = cap;
this.cost = cost;
}
}
public static final class WeightedCapEdge {
public final int from, to;
public final long cap, flow, cost;
WeightedCapEdge(int from, int to, long cap, long flow, long cost) {
this.from = from;
this.to = to;
this.cap = cap;
this.flow = flow;
this.cost = cost;
}
@Override
public boolean equals(Object o) {
if (o instanceof WeightedCapEdge) {
WeightedCapEdge e = (WeightedCapEdge) o;
return from == e.from && to == e.to && cap == e.cap && flow == e.flow && cost == e.cost;
}
return false;
}
}
private static final class IntPair {
final int first, second;
IntPair(int first, int second) {
this.first = first;
this.second = second;
}
}
public static final class FlowAndCost {
public final long flow, cost;
FlowAndCost(long flow, long cost) {
this.flow = flow;
this.cost = cost;
}
@Override
public boolean equals(Object o) {
if (o instanceof FlowAndCost) {
FlowAndCost c = (FlowAndCost) o;
return flow == c.flow && cost == c.cost;
}
return false;
}
}
static final long INF = Long.MAX_VALUE;
private final int n;
private final java.util.ArrayList<IntPair> pos;
private final java.util.ArrayList<InternalWeightedCapEdge>[] g;
@SuppressWarnings("unchecked")
public MinCostFlow(int n) {
this.n = n;
pos = new java.util.ArrayList<>();
g = new java.util.ArrayList[n];
for (int i = 0; i < n; i++) {
g[i] = new java.util.ArrayList<>();
}
}
public int addEdge(int from, int to, long cap, long cost) {
rangeCheck(from, 0, n);
rangeCheck(to, 0, n);
nonNegativeCheck(cap, "Capacity");
nonNegativeCheck(cost, "Cost");
int m = pos.size();
pos.add(new IntPair(from, g[from].size()));
int fromId = g[from].size();
int toId = g[to].size();
if (from == to) toId++;
g[from].add(new InternalWeightedCapEdge(to, toId, cap, cost));
g[to].add(new InternalWeightedCapEdge(from, fromId, 0L, -cost));
return m;
}
private InternalWeightedCapEdge getInternalEdge(int i) {
return g[pos.get(i).first].get(pos.get(i).second);
}
private InternalWeightedCapEdge getInternalEdgeReversed(InternalWeightedCapEdge e) {
return g[e.to].get(e.rev);
}
public WeightedCapEdge getEdge(int i) {
int m = pos.size();
rangeCheck(i, 0, m);
InternalWeightedCapEdge e = getInternalEdge(i);
InternalWeightedCapEdge re = getInternalEdgeReversed(e);
return new WeightedCapEdge(re.to, e.to, e.cap + re.cap, re.cap, e.cost);
}
public WeightedCapEdge[] getEdges() {
WeightedCapEdge[] res = new WeightedCapEdge[pos.size()];
java.util.Arrays.setAll(res, this::getEdge);
return res;
}
public FlowAndCost minCostMaxFlow(int s, int t) {
return minCostFlow(s, t, INF);
}
public FlowAndCost minCostFlow(int s, int t, long flowLimit) {
return minCostSlope(s, t, flowLimit).getLast();
}
public java.util.ArrayList<Long> minCostList(int s, int t) {
return minCostList(s, t, INF);
}
public java.util.ArrayList<Long> minCostList(int s, int t, long flowLimit) {
java.util.LinkedList<FlowAndCost> list = minCostSlope(s, t, flowLimit);
FlowAndCost last = list.pollFirst();
java.util.ArrayList<Long> ret = new java.util.ArrayList<>();
ret.add(0L);
while(!list.isEmpty()) {
FlowAndCost now = list.pollFirst();
for (long i = last.flow + 1;i <= now.flow;++ i) {
ret.add(last.cost + (i - last.flow) * (now.cost - last.cost) / (now.flow - last.flow));
}
last = now;
}
return ret;
}
java.util.LinkedList<FlowAndCost> minCostSlope(int s, int t) {
return minCostSlope(s, t, INF);
}
public java.util.LinkedList<FlowAndCost> minCostSlope(int s, int t, long flowLimit) {
rangeCheck(s, 0, n);
rangeCheck(t, 0, n);
if (s == t) { throw new IllegalArgumentException(String.format("%d and %d is the same vertex.", s, t)); }
long[] dual = new long[n];
long[] dist = new long[n];
int[] pv = new int[n];
int[] pe = new int[n];
boolean[] vis = new boolean[n];
long flow = 0;
long cost = 0, prev_cost = -1;
java.util.LinkedList<FlowAndCost> result = new java.util.LinkedList<>();
result.addLast(new FlowAndCost(flow, cost));
while (flow < flowLimit) {
if (!dualRef(s, t, dual, dist, pv, pe, vis)) break;
long c = flowLimit - flow;
for (int v = t; v != s; v = pv[v]) {
c = Math.min(c, g[pv[v]].get(pe[v]).cap);
}
for (int v = t; v != s; v = pv[v]) {
InternalWeightedCapEdge e = g[pv[v]].get(pe[v]);
e.cap -= c;
g[v].get(e.rev).cap += c;
}
long d = -dual[s];
flow += c;
cost += c * d;
if (prev_cost == d) {
result.removeLast();
}
result.addLast(new FlowAndCost(flow, cost));
prev_cost = cost;
}
return result;
}
private boolean dualRef(int s, int t, long[] dual, long[] dist, int[] pv, int[] pe, boolean[] vis) {
java.util.Arrays.fill(dist, INF);
java.util.Arrays.fill(pv, -1);
java.util.Arrays.fill(pe, -1);
java.util.Arrays.fill(vis, false);
class State implements Comparable<State> {
final long key;
final int to;
State(long key, int to) {
this.key = key;
this.to = to;
}
@Override
public int compareTo(State q) {
return key > q.key ? 1 : -1;
}
};
java.util.PriorityQueue<State> pq = new java.util.PriorityQueue<>();
dist[s] = 0;
pq.add(new State(0L, s));
while (pq.size() > 0) {
int v = pq.poll().to;
if (vis[v]) continue;
vis[v] = true;
if (v == t) break;
for (int i = 0, deg = g[v].size(); i < deg; i++) {
InternalWeightedCapEdge e = g[v].get(i);
if (vis[e.to] || e.cap == 0) continue;
long cost = e.cost - dual[e.to] + dual[v];
if (dist[e.to] - dist[v] > cost) {
dist[e.to] = dist[v] + cost;
pv[e.to] = v;
pe[e.to] = i;
pq.add(new State(dist[e.to], e.to));
}
}
}
if (!vis[t]) { return false; }
for (int v = 0; v < n; v++) {
if (!vis[v]) continue;
dual[v] -= dist[t] - dist[v];
}
return true;
}
private void rangeCheck(int i, int minInlusive, int maxExclusive) {
if (i < 0 || i >= maxExclusive) {
throw new IndexOutOfBoundsException(
String.format("Index %d out of bounds for length %d", i, maxExclusive));
}
}
private void nonNegativeCheck(long cap, java.lang.String attribute) {
if (cap < 0) { throw new IllegalArgumentException(String.format("%s %d is negative.", attribute, cap)); }
}
}
/**
* @verified
* <ul>
* <li>https://atcoder.jp/contests/arc050/tasks/arc050_c
* <li>https://atcoder.jp/contests/abc129/tasks/abc129_f
* </ul>
*/
public static final class ModIntFactory {
private final ModArithmetic ma;
private final int mod;
public ModIntFactory(final int mod) {
ma = ModArithmetic.of(mod);
this.mod = mod;
}
public ModInt create(long value) {
if ((value %= mod) < 0) value += mod;
if (ma instanceof ModArithmetic.ModArithmeticMontgomery) {
return new ModInt(((ModArithmetic.ModArithmeticMontgomery) ma).generate(value));
}
return new ModInt((int) value);
}
class ModInt {
private int value;
private ModInt(final int value) {
this.value = value;
}
public int mod() {
return mod;
}
public int value() {
if (ma instanceof ModArithmetic.ModArithmeticMontgomery) {
return ((ModArithmetic.ModArithmeticMontgomery) ma).reduce(value);
}
return value;
}
public ModInt add(final ModInt mi) {
return new ModInt(ma.add(value, mi.value));
}
public ModInt add(final ModInt mi1, final ModInt mi2) {
return new ModInt(ma.add(value, mi1.value)).addAsg(mi2);
}
public ModInt add(final ModInt mi1, final ModInt mi2, final ModInt mi3) {
return new ModInt(ma.add(value, mi1.value)).addAsg(mi2).addAsg(mi3);
}
public ModInt add(final ModInt mi1, final ModInt mi2, final ModInt mi3, final ModInt mi4) {
return new ModInt(ma.add(value, mi1.value)).addAsg(mi2).addAsg(mi3).addAsg(mi4);
}
public ModInt add(final ModInt mi1, final ModInt... mis) {
final ModInt mi = add(mi1);
for (final ModInt m : mis) mi.addAsg(m);
return mi;
}
public ModInt add(final long mi) {
return new ModInt(ma.add(value, ma.remainder(mi)));
}
public ModInt sub(final ModInt mi) {
return new ModInt(ma.sub(value, mi.value));
}
public ModInt sub(final long mi) {
return new ModInt(ma.sub(value, ma.remainder(mi)));
}
public ModInt mul(final ModInt mi) {
return new ModInt(ma.mul(value, mi.value));
}
public ModInt mul(final ModInt mi1, final ModInt mi2) {
return new ModInt(ma.mul(value, mi1.value)).mulAsg(mi2);
}
public ModInt mul(final ModInt mi1, final ModInt mi2, final ModInt mi3) {
return new ModInt(ma.mul(value, mi1.value)).mulAsg(mi2).mulAsg(mi3);
}
public ModInt mul(final ModInt mi1, final ModInt mi2, final ModInt mi3, final ModInt mi4) {
return new ModInt(ma.mul(value, mi1.value)).mulAsg(mi2).mulAsg(mi3).mulAsg(mi4);
}
public ModInt mul(final ModInt mi1, final ModInt... mis) {
final ModInt mi = mul(mi1);
for (final ModInt m : mis) mi.mulAsg(m);
return mi;
}
public ModInt mul(final long mi) {
return new ModInt(ma.mul(value, ma.remainder(mi)));
}
public ModInt div(final ModInt mi) {
return new ModInt(ma.div(value, mi.value));
}
public ModInt div(final long mi) {
return new ModInt(ma.div(value, ma.remainder(mi)));
}
public ModInt inv() {
return new ModInt(ma.inv(value));
}
public ModInt pow(final long b) {
return new ModInt(ma.pow(value, b));
}
public ModInt addAsg(final ModInt mi) {
value = ma.add(value, mi.value);
return this;
}
public ModInt addAsg(final ModInt mi1, final ModInt mi2) {
return addAsg(mi1).addAsg(mi2);
}
public ModInt addAsg(final ModInt mi1, final ModInt mi2, final ModInt mi3) {
return addAsg(mi1).addAsg(mi2).addAsg(mi3);
}
public ModInt addAsg(final ModInt mi1, final ModInt mi2, final ModInt mi3, final ModInt mi4) {
return addAsg(mi1).addAsg(mi2).addAsg(mi3).addAsg(mi4);
}
public ModInt addAsg(final ModInt... mis) {
for (final ModInt m : mis) addAsg(m);
return this;
}
public ModInt addAsg(final long mi) {
value = ma.add(value, ma.remainder(mi));
return this;
}
public ModInt subAsg(final ModInt mi) {
value = ma.sub(value, mi.value);
return this;
}
public ModInt subAsg(final long mi) {
value = ma.sub(value, ma.remainder(mi));
return this;
}
public ModInt mulAsg(final ModInt mi) {
value = ma.mul(value, mi.value);
return this;
}
public ModInt mulAsg(final ModInt mi1, final ModInt mi2) {
return mulAsg(mi1).mulAsg(mi2);
}
public ModInt mulAsg(final ModInt mi1, final ModInt mi2, final ModInt mi3) {
return mulAsg(mi1).mulAsg(mi2).mulAsg(mi3);
}
public ModInt mulAsg(final ModInt mi1, final ModInt mi2, final ModInt mi3, final ModInt mi4) {
return mulAsg(mi1).mulAsg(mi2).mulAsg(mi3).mulAsg(mi4);
}
public ModInt mulAsg(final ModInt... mis) {
for (final ModInt m : mis) mulAsg(m);
return this;
}
public ModInt mulAsg(final long mi) {
value = ma.mul(value, ma.remainder(mi));
return this;
}
public ModInt divAsg(final ModInt mi) {
value = ma.div(value, mi.value);
return this;
}
public ModInt divAsg(final long mi) {
value = ma.div(value, ma.remainder(mi));
return this;
}
@Override
public String toString() {
return String.valueOf(value());
}
@Override
public boolean equals(final Object o) {
if (o instanceof ModInt) {
final ModInt mi = (ModInt) o;
return mod() == mi.mod() && value() == mi.value();
}
return false;
}
@Override
public int hashCode() {
return (1 * 37 + mod()) * 37 + value();
}
}
private interface ModArithmetic {
public int mod();
public int remainder(long value);
public int add(int a, int b);
public int sub(int a, int b);
public int mul(int a, int b);
public default int div(final int a, final int b) {
return mul(a, inv(b));
}
public int inv(int a);
public int pow(int a, long b);
public static ModArithmetic of(final int mod) {
if (mod <= 0) {
throw new IllegalArgumentException();
} else if (mod == 1) {
return new ModArithmetic1();
} else if (mod == 2) {
return new ModArithmetic2();
} else if (mod == 998244353) {
return new ModArithmetic998244353();
} else if (mod == 1000000007) {
return new ModArithmetic1000000007();
} else if ((mod & 1) == 1) {
return new ModArithmeticMontgomery(mod);
} else {
return new ModArithmeticBarrett(mod);
}
}
static final class ModArithmetic1 implements ModArithmetic {
@Override
public int mod() {
return 1;
}
@Override
public int remainder(final long value) {
return 0;
}
@Override
public int add(final int a, final int b) {
return 0;
}
@Override
public int sub(final int a, final int b) {
return 0;
}
@Override
public int mul(final int a, final int b) {
return 0;
}
@Override
public int inv(final int a) {
throw new ArithmeticException("divide by zero");
}
@Override
public int pow(final int a, final long b) {
return 0;
}
}
static final class ModArithmetic2 implements ModArithmetic {
@Override
public int mod() {
return 2;
}
@Override
public int remainder(final long value) {
return (int) (value & 1);
}
@Override
public int add(final int a, final int b) {
return a ^ b;
}
@Override
public int sub(final int a, final int b) {
return a ^ b;
}
@Override
public int mul(final int a, final int b) {
return a & b;
}
@Override
public int inv(final int a) {
if (a == 0) throw new ArithmeticException("divide by zero");
return a;
}
@Override
public int pow(final int a, final long b) {
if (b == 0) return 1;
return a;
}
}
static final class ModArithmetic998244353 implements ModArithmetic {
private final int mod = 998244353;
@Override
public int mod() {
return mod;
}
@Override
public int remainder(long value) {
return (int) ((value %= mod) < 0 ? value + mod : value);
}
@Override
public int add(final int a, final int b) {
final int res = a + b;
return res >= mod ? res - mod : res;
}
@Override
public int sub(final int a, final int b) {
final int res = a - b;
return res < 0 ? res + mod : res;
}
@Override
public int mul(final int a, final int b) {
return (int) ((long) a * b % mod);
}
@Override
public int inv(int a) {
int b = mod;
long u = 1, v = 0;
while (b >= 1) {
final long t = a / b;
a -= t * b;
final int tmp1 = a;
a = b;
b = tmp1;
u -= t * v;
final long tmp2 = u;
u = v;
v = tmp2;
}
u %= mod;
if (a != 1) { throw new ArithmeticException("divide by zero"); }
return (int) (u < 0 ? u + mod : u);
}
@Override
public int pow(final int a, long b) {
if (b < 0) throw new ArithmeticException("negative power");
long res = 1;
long pow2 = a;
long idx = 1;
while (b > 0) {
final long lsb = b & -b;
for (; lsb != idx; idx <<= 1) {
pow2 = pow2 * pow2 % mod;
}
res = res * pow2 % mod;
b ^= lsb;
}
return (int) res;
}
}
static final class ModArithmetic1000000007 implements ModArithmetic {
private final int mod = 1000000007;
@Override
public int mod() {
return mod;
}
@Override
public int remainder(long value) {
return (int) ((value %= mod) < 0 ? value + mod : value);
}
@Override
public int add(final int a, final int b) {
final int res = a + b;
return res >= mod ? res - mod : res;
}
@Override
public int sub(final int a, final int b) {
final int res = a - b;
return res < 0 ? res + mod : res;
}
@Override
public int mul(final int a, final int b) {
return (int) ((long) a * b % mod);
}
@Override
public int div(final int a, final int b) {
return mul(a, inv(b));
}
@Override
public int inv(int a) {
int b = mod;
long u = 1, v = 0;
while (b >= 1) {
final long t = a / b;
a -= t * b;
final int tmp1 = a;
a = b;
b = tmp1;
u -= t * v;
final long tmp2 = u;
u = v;
v = tmp2;
}
u %= mod;
if (a != 1) { throw new ArithmeticException("divide by zero"); }
return (int) (u < 0 ? u + mod : u);
}
@Override
public int pow(final int a, long b) {
if (b < 0) throw new ArithmeticException("negative power");
long res = 1;
long pow2 = a;
long idx = 1;
while (b > 0) {
final long lsb = b & -b;
for (; lsb != idx; idx <<= 1) {
pow2 = pow2 * pow2 % mod;
}
res = res * pow2 % mod;
b ^= lsb;
}
return (int) res;
}
}
static final class ModArithmeticMontgomery extends ModArithmeticDynamic {
private final long negInv;
private final long r2, r3;
private ModArithmeticMontgomery(final int mod) {
super(mod);
long inv = 0;
long s = 1, t = 0;
for (int i = 0; i < 32; i++) {
if ((t & 1) == 0) {
t += mod;
inv += s;
}
t >>= 1;
s <<= 1;
}
final long r = (1l << 32) % mod;
negInv = inv;
r2 = r * r % mod;
r3 = r2 * r % mod;
}
private int generate(final long x) {
return reduce(x * r2);
}
private int reduce(long x) {
x = x + (x * negInv & 0xffff_ffffl) * mod >>> 32;
return (int) (x < mod ? x : x - mod);
}
@Override
public int remainder(long value) {
return generate((value %= mod) < 0 ? value + mod : value);
}
@Override
public int mul(final int a, final int b) {
return reduce((long) a * b);
}
@Override
public int inv(int a) {
a = super.inv(a);
return reduce(a * r3);
}
@Override
public int pow(final int a, final long b) {
return generate(super.pow(a, b));
}
}
static final class ModArithmeticBarrett extends ModArithmeticDynamic {
private static final long mask = 0xffff_ffffl;
private final long mh;
private final long ml;
private ModArithmeticBarrett(final int mod) {
super(mod);
/**
* m = floor(2^64/mod) 2^64 = p*mod + q, 2^32 = a*mod + b => (a*mod + b)^2 =
* p*mod + q => p = mod*a^2 + 2ab + floor(b^2/mod)
*/
final long a = (1l << 32) / mod;
final long b = (1l << 32) % mod;
final long m = a * a * mod + 2 * a * b + b * b / mod;
mh = m >>> 32;
ml = m & mask;
}
private int reduce(long x) {
long z = (x & mask) * ml;
z = (x & mask) * mh + (x >>> 32) * ml + (z >>> 32);
z = (x >>> 32) * mh + (z >>> 32);
x -= z * mod;
return (int) (x < mod ? x : x - mod);
}
@Override
public int remainder(long value) {
return (int) ((value %= mod) < 0 ? value + mod : value);
}
@Override
public int mul(final int a, final int b) {
return reduce((long) a * b);
}
}
static class ModArithmeticDynamic implements ModArithmetic {
final int mod;
public ModArithmeticDynamic(final int mod) {
this.mod = mod;
}
@Override
public int mod() {
return mod;
}
@Override
public int remainder(long value) {
return (int) ((value %= mod) < 0 ? value + mod : value);
}
@Override
public int add(final int a, final int b) {
final int sum = a + b;
return sum >= mod ? sum - mod : sum;
}
@Override
public int sub(final int a, final int b) {
final int sum = a - b;
return sum < 0 ? sum + mod : sum;
}
@Override
public int mul(final int a, final int b) {
return (int) ((long) a * b % mod);
}
@Override
public int inv(int a) {
int b = mod;
long u = 1, v = 0;
while (b >= 1) {
final long t = a / b;
a -= t * b;
final int tmp1 = a;
a = b;
b = tmp1;
u -= t * v;
final long tmp2 = u;
u = v;
v = tmp2;
}
u %= mod;
if (a != 1) { throw new ArithmeticException("divide by zero"); }
return (int) (u < 0 ? u + mod : u);
}
@Override
public int pow(final int a, long b) {
if (b < 0) throw new ArithmeticException("negative power");
int res = 1;
int pow2 = a;
long idx = 1;
while (b > 0) {
final long lsb = b & -b;
for (; lsb != idx; idx <<= 1) {
pow2 = mul(pow2, pow2);
}
res = mul(res, pow2);
b ^= lsb;
}
return res;
}
}
}
}
/**
* Convolution.
*
* @verified https://atcoder.jp/contests/practice2/tasks/practice2_f
* @verified https://judge.yosupo.jp/problem/convolution_mod_1000000007
*/
public static final class Convolution {
/**
* writer: amotama 勝手に借りてます、問題あったらごめんね
*/
private static void fft(double[] a, double[] b, boolean invert) {
int count = a.length;
for (int i = 1, j = 0; i < count; i++) {
int bit = count >> 1;
for (; j >= bit; bit >>= 1) {
j -= bit;
}
j += bit;
if (i < j) {
double temp = a[i];
a[i] = a[j];
a[j] = temp;
temp = b[i];
b[i] = b[j];
b[j] = temp;
}
}
for (int len = 2; len <= count; len <<= 1) {
int halfLen = len >> 1;
double angle = 2 * Math.PI / len;
if (invert) {
angle = -angle;
}
double wLenA = Math.cos(angle);
double wLenB = Math.sin(angle);
for (int i = 0; i < count; i += len) {
double wA = 1;
double wB = 0;
for (int j = 0; j < halfLen; j++) {
double uA = a[i + j];
double uB = b[i + j];
double vA = a[i + j + halfLen] * wA - b[i + j + halfLen] * wB;
double vB = a[i + j + halfLen] * wB + b[i + j + halfLen] * wA;
a[i + j] = uA + vA;
b[i + j] = uB + vB;
a[i + j + halfLen] = uA - vA;
b[i + j + halfLen] = uB - vB;
double nextWA = wA * wLenA - wB * wLenB;
wB = wA * wLenB + wB * wLenA;
wA = nextWA;
}
}
}
if (invert) {
for (int i = 0; i < count; i++) {
a[i] /= count;
b[i] /= count;
}
}
}
/**
* writer: amotama 勝手に借りてます、問題あったらごめんね
*/
public static long[] convolution(long[] a, long[] b) {
int resultSize = Integer.highestOneBit(Math.max(a.length, b.length) - 1) << 2;
resultSize = Math.max(resultSize, 1);
double[] aReal = new double[resultSize];
double[] aImaginary = new double[resultSize];
double[] bReal = new double[resultSize];
double[] bImaginary = new double[resultSize];
for (int i = 0; i < a.length; i++) aReal[i] = a[i];
for (int i = 0; i < b.length; i++) bReal[i] = b[i];
fft(aReal, aImaginary, false);
if (a == b) {
System.arraycopy(aReal, 0, bReal, 0, aReal.length);
System.arraycopy(aImaginary, 0, bImaginary, 0, aImaginary.length);
} else {
fft(bReal, bImaginary, false);
}
for (int i = 0; i < resultSize; i++) {
double real = aReal[i] * bReal[i] - aImaginary[i] * bImaginary[i];
aImaginary[i] = aImaginary[i] * bReal[i] + bImaginary[i] * aReal[i];
aReal[i] = real;
}
fft(aReal, aImaginary, true);
long[] result = new long[a.length + b.length - 1];
for (int i = 0; i < result.length; i++) result[i] = Math.round(aReal[i]);
return result;
}
/**
* writer: amotama 勝手に借りてます、問題あったらごめんね
*/
public static int[] convolution(int[] a, int[] b) {
int resultSize = Integer.highestOneBit(Math.max(a.length, b.length) - 1) << 2;
resultSize = Math.max(resultSize, 1);
double[] aReal = new double[resultSize];
double[] aImaginary = new double[resultSize];
double[] bReal = new double[resultSize];
double[] bImaginary = new double[resultSize];
for (int i = 0; i < a.length; i++) aReal[i] = a[i];
for (int i = 0; i < b.length; i++) bReal[i] = b[i];
fft(aReal, aImaginary, false);
if (a == b) {
System.arraycopy(aReal, 0, bReal, 0, aReal.length);
System.arraycopy(aImaginary, 0, bImaginary, 0, aImaginary.length);
} else {
fft(bReal, bImaginary, false);
}
for (int i = 0; i < resultSize; i++) {
double real = aReal[i] * bReal[i] - aImaginary[i] * bImaginary[i];
aImaginary[i] = aImaginary[i] * bReal[i] + bImaginary[i] * aReal[i];
aReal[i] = real;
}
fft(aReal, aImaginary, true);
int[] result = new int[a.length + b.length - 1];
for (int i = 0; i < result.length; i++) result[i] = (int) Math.round(aReal[i]);
return result;
}
public static double[] convolution(double[] a, double[] b) {
int resultSize = Integer.highestOneBit(Math.max(a.length, b.length) - 1) << 2;
resultSize = Math.max(resultSize, 1);
double[] aReal = Arrays.copyOf(a, resultSize);
double[] aImaginary = new double[resultSize];
double[] bReal = Arrays.copyOf(b, resultSize);
double[] bImaginary = new double[resultSize];
fft(aReal, aImaginary, false);
if (a == b) {
System.arraycopy(aReal, 0, bReal, 0, aReal.length);
System.arraycopy(aImaginary, 0, bImaginary, 0, aImaginary.length);
} else {
fft(bReal, bImaginary, false);
}
for (int i = 0; i < resultSize; i++) {
double real = aReal[i] * bReal[i] - aImaginary[i] * bImaginary[i];
aImaginary[i] = aImaginary[i] * bReal[i] + bImaginary[i] * aReal[i];
aReal[i] = real;
}
fft(aReal, aImaginary, true);
return Arrays.copyOf(aReal, a.length + b.length - 1);
}
/**
* Find a primitive root.
*
* @param m A prime number.
* @return Primitive root.
*/
private static int primitiveRoot(final int m) {
if (m == 2) return 1;
if (m == 167772161) return 3;
if (m == 469762049) return 3;
if (m == 754974721) return 11;
if (m == 998244353) return 3;
final int[] divs = new int[20];
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0) x /= 2;
for (int i = 3; (long) i * i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
boolean ok = true;
for (int i = 0; i < cnt; i++) {
if (MathLib.pow(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok) return g;
}
}
/**
* Ceil of power 2.
*
* @param n Value.
* @return Ceil of power 2.
*/
private static int ceilPow2(final int n) {
int x = 0;
while (1L << x < n) x++;
return x;
}
/**
* Garner's algorithm.
*
* @param c Mod convolution results.
* @param mods Mods.
* @return Result.
*/
private static long garner(final long[] c, final int[] mods) {
final int n = c.length + 1;
final long[] cnst = new long[n];
final long[] coef = new long[n];
java.util.Arrays.fill(coef, 1);
for (int i = 0; i < n - 1; i++) {
final int m1 = mods[i];
long v = (c[i] - cnst[i] + m1) % m1;
v = v * MathLib.pow(coef[i], m1 - 2, m1) % m1;
for (int j = i + 1; j < n; j++) {
final long m2 = mods[j];
cnst[j] = (cnst[j] + coef[j] * v) % m2;
coef[j] = coef[j] * m1 % m2;
}
}
return cnst[n - 1];
}
/**
* Garner's algorithm.
*
* @param c Mod convolution results.
* @param mods Mods.
* @return Result.
*/
private static int garner(int c0, int c1, int c2, final MathLib.Barrett[] mods) {
final long[] cnst = new long[4];
final long[] coef = new long[4];
java.util.Arrays.fill(coef, 1);
MathLib.Barrett m1 = mods[0];
long v = m1.reduce(c0 - cnst[0] + m1.mod);
v = m1.reduce(v * MathLib.pow(coef[0], m1.mod - 2, m1));
{
MathLib.Barrett m2 = mods[1];
cnst[1] = m2.reduce(cnst[1] + coef[1] * v);
coef[1] = m2.reduce(coef[1] * m1.mod);
m2 = mods[2];
cnst[2] = m2.reduce(cnst[2] + coef[2] * v);
coef[2] = m2.reduce(coef[2] * m1.mod);
m2 = mods[3];
cnst[3] = m2.reduce(cnst[3] + coef[3] * v);
coef[3] = m2.reduce(coef[3] * m1.mod);
}
m1 = mods[1];
v = m1.reduce(c1 - cnst[1] + m1.mod);
v = m1.reduce(v * MathLib.pow(coef[1], m1.mod - 2, m1));
{
MathLib.Barrett m2 = mods[2];
cnst[2] = m2.reduce(cnst[2] + coef[2] * v);
coef[2] = m2.reduce(coef[2] * m1.mod);
m2 = mods[3];
cnst[3] = m2.reduce(cnst[3] + coef[3] * v);
coef[3] = m2.reduce(coef[3] * m1.mod);
}
m1 = mods[2];
v = m1.reduce(c2 - cnst[2] + m1.mod);
v = m1.reduce(v * MathLib.pow(coef[2], m1.mod - 2, m1));
{
MathLib.Barrett m2 = mods[3];
cnst[3] = m2.reduce(cnst[3] + coef[3] * v);
coef[3] = m2.reduce(coef[3] * m1.mod);
}
return (int) cnst[3];
}
/**
* Garner's algorithm.
*
* @param c Mod convolution results.
* @param mods Mods.
* @return Result.
*/
private static int garner1_000_000_007(int c0, int c1, int c2) {
final long[] cnst = new long[4];
final long[] coef = new long[4];
java.util.Arrays.fill(coef, 1);
long v = (c0 - cnst[0] + 998_244_353) % 998_244_353;
v = v * MathLib.pow998_244_353(coef[0], 998_244_353 - 2) % 998_244_353;
{
cnst[1] = (cnst[1] + coef[1] * v) % 167_772_161;
coef[1] = coef[1] * 998_244_353 % 167_772_161;
cnst[2] = (cnst[2] + coef[2] * v) % 469_762_049;
coef[2] = coef[2] * 998_244_353 % 469_762_049;
cnst[3] = (cnst[3] + coef[3] * v) % 1_000_000_007;
coef[3] = coef[3] * 998_244_353 % 1_000_000_007;
}
v = (c1 - cnst[1] + 167_772_161) % 167_772_161;
v = v * MathLib.pow167_772_161(coef[1], 167_772_161 - 2) % 167_772_161;
{
cnst[2] = (cnst[2] + coef[2] * v) % 469_762_049;
coef[2] = coef[2] * 167_772_161 % 469_762_049;
cnst[3] = (cnst[3] + coef[3] * v) % 1_000_000_007;
coef[3] = coef[3] * 167_772_161 % 1_000_000_007;
}
v = (c2 - cnst[2] + 469_762_049) % 469_762_049;
v = v * MathLib.pow469_762_049(coef[2], 469_762_049 - 2) % 469_762_049;
{
cnst[3] = (cnst[3] + coef[3] * v) % 1_000_000_007;
coef[3] = coef[3] * 469_762_049 % 1_000_000_007;
}
return (int) cnst[3];
}
/**
* Pre-calculation for NTT.
*
* @param mod NTT Prime.
* @param g Primitive root of mod.
* @return Pre-calculation table.
*/
private static long[] sumE(final int mod, final int g) {
final long[] sum_e = new long[30];
final long[] es = new long[30];
final long[] ies = new long[30];
final int cnt2 = Integer.numberOfTrailingZeros(mod - 1);
long e = MathLib.pow(g, mod - 1 >> cnt2, mod);
long ie = MathLib.pow(e, mod - 2, mod);
for (int i = cnt2; i >= 2; i--) {
es[i - 2] = e;
ies[i - 2] = ie;
e = e * e % mod;
ie = ie * ie % mod;
}
long now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_e[i] = es[i] * now % mod;
now = now * ies[i] % mod;
}
return sum_e;
}
/**
* Pre-calculation for inverse NTT.
*
* @param mod Mod.
* @param g Primitive root of mod.
* @return Pre-calculation table.
*/
private static long[] sumIE(final int mod, final int g) {
final long[] sum_ie = new long[30];
final long[] es = new long[30];
final long[] ies = new long[30];
final int cnt2 = Integer.numberOfTrailingZeros(mod - 1);
long e = MathLib.pow(g, mod - 1 >> cnt2, mod);
long ie = MathLib.pow(e, mod - 2, mod);
for (int i = cnt2; i >= 2; i--) {
es[i - 2] = e;
ies[i - 2] = ie;
e = e * e % mod;
ie = ie * ie % mod;
}
long now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_ie[i] = ies[i] * now % mod;
now = now * es[i] % mod;
}
return sum_ie;
}
/**
* Inverse NTT.
*
* @param a Target array.
* @param sumIE Pre-calculation table.
* @param mod NTT Prime.
*/
private static void butterflyInv(final long[] a, final long[] sumIE, final int mod) {
final int n = a.length;
final int h = ceilPow2(n);
for (int ph = h; ph >= 1; ph--) {
final int w = 1 << ph - 1, p = 1 << h - ph;
long inow = 1;
for (int s = 0; s < w; s++) {
final int offset = s << h - ph + 1;
for (int i = 0; i < p; i++) {
final long l = a[i + offset];
final long r = a[i + offset + p];
a[i + offset] = (l + r) % mod;
a[i + offset + p] = (mod + l - r) * inow % mod;
}
final int x = Integer.numberOfTrailingZeros(~s);
inow = inow * sumIE[x] % mod;
}
}
}
/**
* Inverse NTT.
*
* @param a Target array.
* @param sumE Pre-calculation table.
* @param mod NTT Prime.
*/
private static void butterfly(final long[] a, final long[] sumE, final int mod) {
final int n = a.length;
final int h = ceilPow2(n);
for (int ph = 1; ph <= h; ph++) {
final int w = 1 << ph - 1, p = 1 << h - ph;
long now = 1;
for (int s = 0; s < w; s++) {
final int offset = s << h - ph + 1;
for (int i = 0; i < p; i++) {
final long l = a[i + offset];
final long r = a[i + offset + p] * now % mod;
a[i + offset] = (l + r) % mod;
a[i + offset + p] = (l - r + mod) % mod;
}
final int x = Integer.numberOfTrailingZeros(~s);
now = now * sumE[x] % mod;
}
}
}
/**
* Inverse NTT used mod 998_244_353.
*
* @param a Target array.
* @param sumIE Pre-calculation table.
*/
private static void butterflyInv998_244_353(final int[] a, final int[] sumIE) {
final int n = a.length;
final int h = ceilPow2(n);
for (int ph = h; ph >= 1; ph--) {
final int w = 1 << ph - 1, p = 1 << h - ph;
long inow = 1;
for (int s = 0; s < w; s++) {
final int offset = s << h - ph + 1;
for (int i = 0; i < p; i++) {
final long l = a[i + offset];
final long r = a[i + offset + p];
a[i + offset] = (int) ((l + r) % 998_244_353);
a[i + offset + p] = (int) ((998_244_353 + l - r) * inow % 998_244_353);
}
final int x = Integer.numberOfTrailingZeros(~s);
inow = inow * sumIE[x] % 998_244_353;
}
}
}
/**
* Inverse NTT used mod 167_772_161.
*
* @param a Target array.
* @param sumIE Pre-calculation table.
*/
private static void butterflyInv167_772_161(final int[] a, final int[] sumIE) {
final int n = a.length;
final int h = ceilPow2(n);
for (int ph = h; ph >= 1; ph--) {
final int w = 1 << ph - 1, p = 1 << h - ph;
long inow = 1;
for (int s = 0; s < w; s++) {
final int offset = s << h - ph + 1;
for (int i = 0; i < p; i++) {
final long l = a[i + offset];
final long r = a[i + offset + p];
a[i + offset] = (int) ((l + r) % 167_772_161);
a[i + offset + p] = (int) ((167_772_161 + l - r) * inow % 167_772_161);
}
final int x = Integer.numberOfTrailingZeros(~s);
inow = inow * sumIE[x] % 167_772_161;
}
}
}
/**
* Inverse NTT used mod 469_762_049.
*
* @param a Target array.
* @param sumIE Pre-calculation table.
*/
private static void butterflyInv469_762_049(final int[] a, final int[] sumIE) {
final int n = a.length;
final int h = ceilPow2(n);
for (int ph = h; ph >= 1; ph--) {
final int w = 1 << ph - 1, p = 1 << h - ph;
long inow = 1;
for (int s = 0; s < w; s++) {
final int offset = s << h - ph + 1;
for (int i = 0; i < p; i++) {
final long l = a[i + offset];
final long r = a[i + offset + p];
a[i + offset] = (int) ((l + r) % 469_762_049);
a[i + offset + p] = (int) ((469_762_049 + l - r) * inow % 469_762_049);
}
final int x = Integer.numberOfTrailingZeros(~s);
inow = inow * sumIE[x] % 469_762_049;
}
}
}
/**
* Inverse NTT.
*
* @param a Target array.
* @param sumIE Pre-calculation table.
* @param mod NTT Prime.
*/
private static void butterflyInv(final int[] a, final int[] sumIE, final MathLib.Barrett mod) {
final int n = a.length;
final int h = ceilPow2(n);
for (int ph = h; ph >= 1; ph--) {
final int w = 1 << ph - 1, p = 1 << h - ph;
long inow = 1;
for (int s = 0; s < w; s++) {
final int offset = s << h - ph + 1;
for (int i = 0; i < p; i++) {
final long l = a[i + offset];
final long r = a[i + offset + p];
long sum = l + r;
if (sum >= mod.mod) sum -= mod.mod;
a[i + offset] = (int) sum;
a[i + offset + p] = mod.reduce((mod.mod + l - r) * inow);
}
final int x = Integer.numberOfTrailingZeros(~s);
inow = mod.reduce(inow * sumIE[x]);
}
}
}
/**
* Inverse NTT used mod 998_244_353.
*
* @param a Target array.
* @param sumE Pre-calculation table.
* @param mod NTT Prime.
*/
private static void butterfly998_244_353(final int[] a, final int[] sumE) {
final int n = a.length;
final int h = ceilPow2(n);
final long ADD = (long) (998_244_353 - 2) * 998_244_353;
for (int ph = 1; ph <= h; ph++) {
final int w = 1 << ph - 1, p = 1 << h - ph;
long now = 1;
for (int s = 0; s < w; s++) {
final int offset = s << h - ph + 1;
for (int i = 0; i < p; i++) {
final long l = a[i + offset];
final long r = a[i + offset + p] * now;
a[i + offset] = (int) ((l + r) % 998_244_353);
a[i + offset + p] = (int) ((l - r + ADD) % 998_244_353);
}
final int x = Integer.numberOfTrailingZeros(~s);
now = now * sumE[x] % 998_244_353;
}
}
}
/**
* Inverse NTT used mod 167_772_161.
*
* @param a Target array.
* @param sumE Pre-calculation table.
* @param mod NTT Prime.
*/
private static void butterfly167_772_161(final int[] a, final int[] sumE) {
final int n = a.length;
final int h = ceilPow2(n);
final long ADD = (long) (167_772_161 - 2) * 167_772_161;
for (int ph = 1; ph <= h; ph++) {
final int w = 1 << ph - 1, p = 1 << h - ph;
long now = 1;
for (int s = 0; s < w; s++) {
final int offset = s << h - ph + 1;
for (int i = 0; i < p; i++) {
final long l = a[i + offset];
final long r = a[i + offset + p] * now;
a[i + offset] = (int) ((l + r) % 167_772_161);
a[i + offset + p] = (int) ((l - r + ADD) % 167_772_161);
}
final int x = Integer.numberOfTrailingZeros(~s);
now = now * sumE[x] % 167_772_161;
}
}
}
/**
* Inverse NTT used mod 469_762_049.
*
* @param a Target array.
* @param sumE Pre-calculation table.
* @param mod NTT Prime.
*/
private static void butterfly469_762_049(final int[] a, final int[] sumE) {
final int n = a.length;
final int h = ceilPow2(n);
final long ADD = (long) (469_762_049 - 2) * 469_762_049;
for (int ph = 1; ph <= h; ph++) {
final int w = 1 << ph - 1, p = 1 << h - ph;
long now = 1;
for (int s = 0; s < w; s++) {
final int offset = s << h - ph + 1;
for (int i = 0; i < p; i++) {
final long l = a[i + offset];
final long r = a[i + offset + p] * now;
a[i + offset] = (int) ((l + r) % 469_762_049);
a[i + offset + p] = (int) ((l - r + ADD) % 469_762_049);
}
final int x = Integer.numberOfTrailingZeros(~s);
now = now * sumE[x] % 469_762_049;
}
}
}
/**
* Inverse NTT.
*
* @param a Target array.
* @param sumE Pre-calculation table.
* @param mod NTT Prime.
*/
private static void butterfly(final int[] a, final int[] sumE, final MathLib.Barrett mod) {
final int n = a.length;
final int h = ceilPow2(n);
final long ADD = (long) (mod.mod - 2) * mod.mod;
for (int ph = 1; ph <= h; ph++) {
final int w = 1 << ph - 1, p = 1 << h - ph;
long now = 1;
for (int s = 0; s < w; s++) {
final int offset = s << h - ph + 1;
for (int i = 0; i < p; i++) {
final long l = a[i + offset];
final long r = a[i + offset + p] * now;
a[i + offset] = mod.reduce(l + r);
a[i + offset + p] = mod.reduce(l - r + ADD);
}
final int x = Integer.numberOfTrailingZeros(~s);
now = mod.reduce(now * sumE[x]);
}
}
}
/**
* Convolution used mod 998_244_353.
*
* @param a Target array 1.
* @param b Target array 2.
* @return Answer.
*/
private static int[] convolution998_244_353(int[] a, int[] b) {
final int n = a.length;
final int m = b.length;
if (n == 0 || m == 0) return new int[0];
final int z = 1 << ceilPow2(n + m - 1);
{
final int[] na = new int[z];
final int[] nb = new int[z];
System.arraycopy(a, 0, na, 0, n);
System.arraycopy(b, 0, nb, 0, m);
a = na;
b = nb;
}
final int g = primitiveRoot(998_244_353);
final int[] sume;
{
long[] s = sumE(998_244_353, g);
sume = new int[s.length];
for (int i = 0; i < s.length; ++i) sume[i] = (int) s[i];
}
final int[] sumie;
{
long[] s = sumIE(998_244_353, g);
sumie = new int[s.length];
for (int i = 0; i < s.length; ++i) sumie[i] = (int) s[i];
}
butterfly998_244_353(a, sume);
butterfly998_244_353(b, sume);
for (int i = 0; i < z; i++) a[i] = (int) ((long) a[i] * b[i] % 998_244_353);
butterflyInv998_244_353(a, sumie);
a = java.util.Arrays.copyOf(a, n + m - 1);
final long iz = MathLib.pow998_244_353(z, 998_244_353 - 2);
for (int i = 0; i < n + m - 1; i++) a[i] = (int) (a[i] * iz % 998_244_353);
return a;
}
/**
* Convolution used mod 167_772_161.
*
* @param a Target array 1.
* @param b Target array 2.
* @return Answer.
*/
private static int[] convolution167_772_161(int[] a, int[] b) {
final int n = a.length;
final int m = b.length;
if (n == 0 || m == 0) return new int[0];
final int z = 1 << ceilPow2(n + m - 1);
{
final int[] na = new int[z];
final int[] nb = new int[z];
System.arraycopy(a, 0, na, 0, n);
System.arraycopy(b, 0, nb, 0, m);
a = na;
b = nb;
}
final int g = primitiveRoot(167_772_161);
final int[] sume;
{
long[] s = sumE(167_772_161, g);
sume = new int[s.length];
for (int i = 0; i < s.length; ++i) sume[i] = (int) s[i];
}
final int[] sumie;
{
long[] s = sumIE(167_772_161, g);
sumie = new int[s.length];
for (int i = 0; i < s.length; ++i) sumie[i] = (int) s[i];
}
butterfly167_772_161(a, sume);
butterfly167_772_161(b, sume);
for (int i = 0; i < z; i++) a[i] = (int) ((long) a[i] * b[i] % 167_772_161);
butterflyInv167_772_161(a, sumie);
a = java.util.Arrays.copyOf(a, n + m - 1);
final long iz = MathLib.pow167_772_161(z, 167_772_161 - 2);
for (int i = 0; i < n + m - 1; i++) a[i] = (int) (a[i] * iz % 167_772_161);
return a;
}
/**
* Convolution used mod 469_762_049.
*
* @param a Target array 1.
* @param b Target array 2.
* @return Answer.
*/
private static int[] convolution469_762_049(int[] a, int[] b) {
final int n = a.length;
final int m = b.length;
if (n == 0 || m == 0) return new int[0];
final int z = 1 << ceilPow2(n + m - 1);
{
final int[] na = new int[z];
final int[] nb = new int[z];
System.arraycopy(a, 0, na, 0, n);
System.arraycopy(b, 0, nb, 0, m);
a = na;
b = nb;
}
final int g = primitiveRoot(469_762_049);
final int[] sume;
{
long[] s = sumE(469_762_049, g);
sume = new int[s.length];
for (int i = 0; i < s.length; ++i) sume[i] = (int) s[i];
}
final int[] sumie;
{
long[] s = sumIE(469_762_049, g);
sumie = new int[s.length];
for (int i = 0; i < s.length; ++i) sumie[i] = (int) s[i];
}
butterfly469_762_049(a, sume);
butterfly469_762_049(b, sume);
for (int i = 0; i < z; i++) a[i] = (int) ((long) a[i] * b[i] % 469_762_049);
butterflyInv469_762_049(a, sumie);
a = java.util.Arrays.copyOf(a, n + m - 1);
final long iz = MathLib.pow469_762_049(z, 469_762_049 - 2);
for (int i = 0; i < n + m - 1; i++) a[i] = (int) (a[i] * iz % 469_762_049);
return a;
}
/**
* Convolution.
*
* @param a Target array 1.
* @param b Target array 2.
* @param mod NTT Prime.
* @return Answer.
*/
private static int[] convolutionNTT(int[] a, int[] b, final int mod) {
MathLib.Barrett barrett = new MathLib.Barrett(mod);
final int n = a.length;
final int m = b.length;
if (n == 0 || m == 0) return new int[0];
final int z = 1 << ceilPow2(n + m - 1);
{
final int[] na = new int[z];
final int[] nb = new int[z];
System.arraycopy(a, 0, na, 0, n);
System.arraycopy(b, 0, nb, 0, m);
a = na;
b = nb;
}
final int g = primitiveRoot(mod);
final int[] sume;
{
long[] s = sumE(mod, g);
sume = new int[s.length];
for (int i = 0; i < s.length; ++i) sume[i] = (int) s[i];
}
final int[] sumie;
{
long[] s = sumIE(mod, g);
sumie = new int[s.length];
for (int i = 0; i < s.length; ++i) sumie[i] = (int) s[i];
}
butterfly(a, sume, barrett);
butterfly(b, sume, barrett);
for (int i = 0; i < z; i++) a[i] = barrett.reduce((long) a[i] * b[i]);
butterflyInv(a, sumie, barrett);
a = java.util.Arrays.copyOf(a, n + m - 1);
final long iz = MathLib.pow(z, mod - 2, mod);
for (int i = 0; i < n + m - 1; i++) a[i] = barrett.reduce(a[i] * iz);
return a;
}
/**
* Convolution.
*
* @param a Target array 1.
* @param b Target array 2.
* @param mod NTT Prime.
* @return Answer.
*/
private static long[] convolutionNTT(long[] a, long[] b, final int mod) {
final int n = a.length;
final int m = b.length;
if (n == 0 || m == 0) return new long[0];
final int z = 1 << ceilPow2(n + m - 1);
{
final long[] na = new long[z];
final long[] nb = new long[z];
System.arraycopy(a, 0, na, 0, n);
System.arraycopy(b, 0, nb, 0, m);
a = na;
b = nb;
}
final int g = primitiveRoot(mod);
final long[] sume = sumE(mod, g);
final long[] sumie = sumIE(mod, g);
butterfly(a, sume, mod);
butterfly(b, sume, mod);
for (int i = 0; i < z; i++) {
a[i] = a[i] * b[i] % mod;
}
butterflyInv(a, sumie, mod);
a = java.util.Arrays.copyOf(a, n + m - 1);
final long iz = MathLib.pow(z, mod - 2, mod);
for (int i = 0; i < n + m - 1; i++) a[i] = a[i] * iz % mod;
return a;
}
/**
* Convolution.
*
* @param a Target array 1.
* @param b Target array 2.
* @param mod Any mod.
* @return Answer.
*/
public static long[] convolution(final long[] a, final long[] b, final int mod) {
final int n = a.length;
final int m = b.length;
if (n == 0 || m == 0) return new long[0];
final int mod1 = 998_244_353;
final int mod2 = 167_772_161;
final int mod3 = 469_762_049;
final long[] c1 = convolutionNTT(a, b, mod1);
final long[] c2 = convolutionNTT(a, b, mod2);
final long[] c3 = convolutionNTT(a, b, mod3);
final int retSize = c1.length;
final long[] ret = new long[retSize];
final int[] mods = { mod1, mod2, mod3, mod };
for (int i = 0; i < retSize; ++i) {
ret[i] = garner(new long[] { c1[i], c2[i], c3[i] }, mods);
}
return ret;
}
/**
* Convolution.
*
* @param a Target array 1.
* @param b Target array 2.
* @param mod Any mod.
* @return Answer.
*/
public static int[] convolution(final int[] a, final int[] b, final int mod) {
final int n = a.length;
final int m = b.length;
if (n == 0 || m == 0) return new int[0];
if (mod == 1_000_000_007) return convolution1_000_000_007(a, b);
if (mod == 998_244_353) return convolution998_244_353(a, b);
int ntt = Integer.lowestOneBit(mod - 1) >> 1;
if (n + m <= ntt) return convolutionNTT(a, b, mod);
final int[] c1 = convolution998_244_353(a, b);
final int[] c2 = convolution167_772_161(a, b);
final int[] c3 = convolution469_762_049(a, b);
final int retSize = c1.length;
final int[] ret = new int[retSize];
final MathLib.Barrett[] mods = { new MathLib.Barrett(998_244_353), new MathLib.Barrett(167_772_161),
new MathLib.Barrett(469_762_049), new MathLib.Barrett(mod) };
for (int i = 0; i < retSize; ++i) ret[i] = garner(c1[i], c2[i], c3[i], mods);
return ret;
}
/**
* Convolution used mod 1_000_000_007.
*
* @param a Target array 1.
* @param b Target array 2.
* @return Answer.
*/
private static int[] convolution1_000_000_007(final int[] a, final int[] b) {
final int[] c1 = convolution998_244_353(a, b);
final int[] c2 = convolution167_772_161(a, b);
final int[] c3 = convolution469_762_049(a, b);
final int retSize = c1.length;
final int[] ret = new int[retSize];
for (int i = 0; i < retSize; ++i) ret[i] = garner1_000_000_007(c1[i], c2[i], c3[i]);
return ret;
}
/**
* Convolution. need: length < 2000
*
* @param a Target array 1.
* @param b Target array 2.
* @param mod Any mod.
* @return Answer.
*/
public static int[] convolution2(final int[] a, final int[] b, final int mod) {
if (Math.max(a.length, b.length) < 4000) {
long[] la = new long[a.length], ha = new long[a.length], ma = new long[a.length],
lb = new long[b.length], hb = new long[b.length], mb = new long[b.length];
MathLib.Barrett barrett = new MathLib.Barrett(mod);
for (int i = 0; i < a.length; ++i) {
ha[i] = a[i] >> 15;
la[i] = a[i] & 0x7FFF;
ma[i] = la[i] + ha[i];
}
for (int i = 0; i < b.length; ++i) {
hb[i] = b[i] >> 15;
lb[i] = b[i] & 0x7FFF;
mb[i] = lb[i] + hb[i];
}
long[] l = convolution(la, lb), h = convolution(ha, hb), m = convolution(ma, mb);
int[] ret = new int[m.length];
for (int i = 0; i < m.length; ++i) {
h[i] = barrett.reduce(h[i]);
m[i] = barrett.reduce(m[i] - l[i] - h[i] + (long) m.length * mod);
ret[i] = barrett.reduce((h[i] << 30) + (m[i] << 15) + l[i]);
}
return ret;
}
return convolution(a, b, mod);
}
/**
* Naive convolution. (Complexity is O(N^2)!!)
*
* @param a Target array 1.
* @param b Target array 2.
* @param mod Mod.
* @return Answer.
*/
public static long[] convolutionNaive(final long[] a, final long[] b, final int mod) {
final int n = a.length;
final int m = b.length;
final int k = n + m - 1;
final long[] ret = new long[k];
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
ret[i + j] += a[i] * b[j] % mod;
ret[i + j] %= mod;
}
}
return ret;
}
}
/**
* @verified https://atcoder.jp/contests/practice2/tasks/practice2_g
*/
public static final class SCC {
static class Edge {
int from, to;
public Edge(final int from, final int to) {
this.from = from;
this.to = to;
}
}
final int n;
int m;
final java.util.ArrayList<Edge> unorderedEdges;
final int[] start;
final int[] ids;
boolean hasBuilt = false;
public SCC(final int n) {
this.n = n;
unorderedEdges = new java.util.ArrayList<>();
start = new int[n + 1];
ids = new int[n];
}
public void addEdge(final int from, final int to) {
rangeCheck(from);
rangeCheck(to);
unorderedEdges.add(new Edge(from, to));
start[from + 1]++;
m++;
}
public int id(final int i) {
if (!hasBuilt) { throw new UnsupportedOperationException("Graph hasn't been built."); }
rangeCheck(i);
return ids[i];
}
public int[][] build() {
for (int i = 1; i <= n; i++) {
start[i] += start[i - 1];
}
final Edge[] orderedEdges = new Edge[m];
final int[] count = new int[n + 1];
System.arraycopy(start, 0, count, 0, n + 1);
for (final Edge e : unorderedEdges) {
orderedEdges[count[e.from]++] = e;
}
int nowOrd = 0;
int groupNum = 0;
int k = 0;
// parent
final int[] par = new int[n];
final int[] vis = new int[n];
final int[] low = new int[n];
final int[] ord = new int[n];
java.util.Arrays.fill(ord, -1);
// u = lower32(stack[i]) : visiting vertex
// j = upper32(stack[i]) : jth child
final long[] stack = new long[n];
// size of stack
int ptr = 0;
// non-recursional DFS
for (int i = 0; i < n; i++) {
if (ord[i] >= 0) continue;
par[i] = -1;
// vertex i, 0th child.
stack[ptr++] = 0l << 32 | i;
// stack is not empty
while (ptr > 0) {
// last element
final long p = stack[--ptr];
// vertex
final int u = (int) (p & 0xffff_ffffl);
// jth child
int j = (int) (p >>> 32);
if (j == 0) { // first visit
low[u] = ord[u] = nowOrd++;
vis[k++] = u;
}
if (start[u] + j < count[u]) { // there are more children
// jth child
final int to = orderedEdges[start[u] + j].to;
// incr children counter
stack[ptr++] += 1l << 32;
if (ord[to] == -1) { // new vertex
stack[ptr++] = 0l << 32 | to;
par[to] = u;
} else { // backward edge
low[u] = Math.min(low[u], ord[to]);
}
} else { // no more children (leaving)
while (j-- > 0) {
final int to = orderedEdges[start[u] + j].to;
// update lowlink
if (par[to] == u) low[u] = Math.min(low[u], low[to]);
}
if (low[u] == ord[u]) { // root of a component
while (true) { // gathering verticies
final int v = vis[--k];
ord[v] = n;
ids[v] = groupNum;
if (v == u) break;
}
groupNum++; // incr the number of components
}
}
}
}
for (int i = 0; i < n; i++) {
ids[i] = groupNum - 1 - ids[i];
}
final int[] counts = new int[groupNum];
for (final int x : ids) counts[x]++;
final int[][] groups = new int[groupNum][];
for (int i = 0; i < groupNum; i++) {
groups[i] = new int[counts[i]];
}
for (int i = 0; i < n; i++) {
final int cmp = ids[i];
groups[cmp][--counts[cmp]] = i;
}
hasBuilt = true;
return groups;
}
private void rangeCheck(final int i) {
if (i < 0 || i >= n) {
throw new IndexOutOfBoundsException(String.format("Index %d out of bounds for length %d", i, n));
}
}
}
/**
* @verified https://atcoder.jp/contests/practice2/submissions/16647102
*/
public static final class TwoSAT {
private final int n;
private final InternalSCC scc;
private final boolean[] answer;
private boolean hasCalledSatisfiable = false;
private boolean existsAnswer = false;
public TwoSAT(int n) {
this.n = n;
scc = new InternalSCC(2 * n);
answer = new boolean[n];
}
public void addClause(int x, boolean f, int y, boolean g) {
rangeCheck(x);
rangeCheck(y);
scc.addEdge(x << 1 | (f ? 0 : 1), y << 1 | (g ? 1 : 0));
scc.addEdge(y << 1 | (g ? 0 : 1), x << 1 | (f ? 1 : 0));
}
public void addImplication(int x, boolean f, int y, boolean g) {
addClause(x, !f, y, g);
}
public void addNand(int x, boolean f, int y, boolean g) {
addClause(x, !f, y, !g);
}
public void set(int x, boolean f) {
addClause(x, f, x, f);
}
public boolean satisfiable() {
hasCalledSatisfiable = true;
int[] ids = scc.ids();
for (int i = 0; i < n; i++) {
if (ids[i << 1 | 0] == ids[i << 1 | 1]) return existsAnswer = false;
answer[i] = ids[i << 1 | 0] < ids[i << 1 | 1];
}
return existsAnswer = true;
}
public boolean[] answer() {
if (!hasCalledSatisfiable) {
throw new UnsupportedOperationException("Call TwoSAT#satisfiable at least once before TwoSAT#answer.");
}
if (existsAnswer) return answer;
return null;
}
private void rangeCheck(int x) {
if (x < 0 || x >= n) {
throw new IndexOutOfBoundsException(String.format("Index %d out of bounds for length %d", x, n));
}
}
private static final class EdgeList {
long[] a;
int ptr = 0;
EdgeList(int cap) {
a = new long[cap];
}
void add(int upper, int lower) {
if (ptr == a.length) grow();
a[ptr++] = (long) upper << 32 | lower;
}
void grow() {
long[] b = new long[a.length << 1];
System.arraycopy(a, 0, b, 0, a.length);
a = b;
}
}
private static final class InternalSCC {
final int n;
int m;
final EdgeList unorderedEdges;
final int[] start;
InternalSCC(int n) {
this.n = n;
unorderedEdges = new EdgeList(n);
start = new int[n + 1];
}
void addEdge(int from, int to) {
unorderedEdges.add(from, to);
start[from + 1]++;
m++;
}
static final long mask = 0xffff_ffffl;
int[] ids() {
for (int i = 1; i <= n; i++) {
start[i] += start[i - 1];
}
int[] orderedEdges = new int[m];
int[] count = new int[n + 1];
System.arraycopy(start, 0, count, 0, n + 1);
for (int i = 0; i < m; i++) {
long e = unorderedEdges.a[i];
orderedEdges[count[(int) (e >>> 32)]++] = (int) (e & mask);
}
int nowOrd = 0;
int groupNum = 0;
int k = 0;
int[] par = new int[n];
int[] vis = new int[n];
int[] low = new int[n];
int[] ord = new int[n];
java.util.Arrays.fill(ord, -1);
int[] ids = new int[n];
long[] stack = new long[n];
int ptr = 0;
for (int i = 0; i < n; i++) {
if (ord[i] >= 0) continue;
par[i] = -1;
stack[ptr++] = i;
while (ptr > 0) {
long p = stack[--ptr];
int u = (int) (p & mask);
int j = (int) (p >>> 32);
if (j == 0) {
low[u] = ord[u] = nowOrd++;
vis[k++] = u;
}
if (start[u] + j < count[u]) {
int to = orderedEdges[start[u] + j];
stack[ptr++] += 1l << 32;
if (ord[to] == -1) {
stack[ptr++] = to;
par[to] = u;
} else {
low[u] = Math.min(low[u], ord[to]);
}
} else {
while (j-- > 0) {
int to = orderedEdges[start[u] + j];
if (par[to] == u) low[u] = Math.min(low[u], low[to]);
}
if (low[u] == ord[u]) {
while (true) {
int v = vis[--k];
ord[v] = n;
ids[v] = groupNum;
if (v == u) break;
}
groupNum++;
}
}
}
}
for (int i = 0; i < n; i++) {
ids[i] = groupNum - 1 - ids[i];
}
return ids;
}
}
}
public static final class StringAlgorithm {
private static int[] saNaive(final int[] s) {
final int n = s.length;
final Integer[] _sa = new Integer[n];
for (int i = 0; i < n; i++) {
_sa[i] = i;
}
java.util.Arrays.sort(_sa, (l, r) -> {
while (l < n && r < n) {
if (s[l] != s[r]) return s[l] - s[r];
l++;
r++;
}
return -(l - r);
});
final int[] sa = new int[n];
for (int i = 0; i < n; i++) {
sa[i] = _sa[i];
}
return sa;
}
private static int[] saDoubling(final int[] s) {
final int n = s.length;
final Integer[] _sa = new Integer[n];
for (int i = 0; i < n; i++) {
_sa[i] = i;
}
int[] rnk = s;
int[] tmp = new int[n];
for (int k = 1; k < n; k *= 2) {
final int _k = k;
final int[] _rnk = rnk;
final java.util.Comparator<Integer> cmp = (x, y) -> {
if (_rnk[x] != _rnk[y]) return _rnk[x] - _rnk[y];
final int rx = x + _k < n ? _rnk[x + _k] : -1;
final int ry = y + _k < n ? _rnk[y + _k] : -1;
return rx - ry;
};
java.util.Arrays.sort(_sa, cmp);
tmp[_sa[0]] = 0;
for (int i = 1; i < n; i++) {
tmp[_sa[i]] = tmp[_sa[i - 1]] + (cmp.compare(_sa[i - 1], _sa[i]) < 0 ? 1 : 0);
}
final int[] buf = tmp;
tmp = rnk;
rnk = buf;
}
final int[] sa = new int[n];
for (int i = 0; i < n; i++) {
sa[i] = _sa[i];
}
return sa;
}
private static final int THRESHOLD_NAIVE = 10;
private static final int THRESHOLD_DOUBLING = 40;
private static int[] sais(final int[] s, final int upper) {
final int n = s.length;
if (n == 0) return new int[0];
if (n == 1) return new int[] { 0 };
if (n == 2) { return s[0] < s[1] ? new int[] { 0, 1 } : new int[] { 1, 0 }; }
if (n < THRESHOLD_NAIVE) { return saNaive(s); }
if (n < THRESHOLD_DOUBLING) { return saDoubling(s); }
final int[] sa = new int[n];
final boolean[] ls = new boolean[n];
for (int i = n - 2; i >= 0; i--) {
ls[i] = s[i] == s[i + 1] ? ls[i + 1] : s[i] < s[i + 1];
}
final int[] sumL = new int[upper + 1];
final int[] sumS = new int[upper + 1];
for (int i = 0; i < n; i++) {
if (ls[i]) {
sumL[s[i] + 1]++;
} else {
sumS[s[i]]++;
}
}
for (int i = 0; i <= upper; i++) {
sumS[i] += sumL[i];
if (i < upper) sumL[i + 1] += sumS[i];
}
final java.util.function.Consumer<int[]> induce = lms -> {
java.util.Arrays.fill(sa, -1);
final int[] buf = new int[upper + 1];
System.arraycopy(sumS, 0, buf, 0, upper + 1);
for (final int d : lms) {
if (d == n) continue;
sa[buf[s[d]]++] = d;
}
System.arraycopy(sumL, 0, buf, 0, upper + 1);
sa[buf[s[n - 1]]++] = n - 1;
for (int i = 0; i < n; i++) {
final int v = sa[i];
if (v >= 1 && !ls[v - 1]) {
sa[buf[s[v - 1]]++] = v - 1;
}
}
System.arraycopy(sumL, 0, buf, 0, upper + 1);
for (int i = n - 1; i >= 0; i--) {
final int v = sa[i];
if (v >= 1 && ls[v - 1]) {
sa[--buf[s[v - 1] + 1]] = v - 1;
}
}
};
final int[] lmsMap = new int[n + 1];
java.util.Arrays.fill(lmsMap, -1);
int m = 0;
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lmsMap[i] = m++;
}
}
final int[] lms = new int[m];
{
int p = 0;
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms[p++] = i;
}
}
}
induce.accept(lms);
if (m > 0) {
final int[] sortedLms = new int[m];
{
int p = 0;
for (final int v : sa) {
if (lmsMap[v] != -1) {
sortedLms[p++] = v;
}
}
}
final int[] recS = new int[m];
int recUpper = 0;
recS[lmsMap[sortedLms[0]]] = 0;
for (int i = 1; i < m; i++) {
int l = sortedLms[i - 1], r = sortedLms[i];
final int endL = lmsMap[l] + 1 < m ? lms[lmsMap[l] + 1] : n;
final int endR = lmsMap[r] + 1 < m ? lms[lmsMap[r] + 1] : n;
boolean same = true;
if (endL - l != endR - r) {
same = false;
} else {
while (l < endL && s[l] == s[r]) {
l++;
r++;
}
if (l == n || s[l] != s[r]) same = false;
}
if (!same) {
recUpper++;
}
recS[lmsMap[sortedLms[i]]] = recUpper;
}
final int[] recSA = sais(recS, recUpper);
for (int i = 0; i < m; i++) {
sortedLms[i] = lms[recSA[i]];
}
induce.accept(sortedLms);
}
return sa;
}
public static int[] suffixArray(final int[] s, final int upper) {
assert 0 <= upper;
for (final int d : s) {
assert 0 <= d && d <= upper;
}
return sais(s, upper);
}
public static int[] suffixArray(final int[] s) {
final int n = s.length;
final Integer[] idx = new Integer[n];
for (int i = 0; i < n; i++) {
idx[i] = i;
}
java.util.Arrays.sort(idx, (l, r) -> s[l] - s[r]);
final int[] s2 = new int[n];
int now = 0;
for (int i = 0; i < n; i++) {
if (i > 0 && s[idx[i - 1]] != s[idx[i]]) {
now++;
}
s2[idx[i]] = now;
}
return sais(s2, now);
}
public static int[] suffixArray(final char[] s) {
final int n = s.length;
final int[] s2 = new int[n];
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return sais(s2, 255);
}
public static int[] suffixArray(final java.lang.String s) {
return suffixArray(s.toCharArray());
}
public static int[] lcpArray(final int[] s, final int[] sa) {
final int n = s.length;
assert n >= 1;
final int[] rnk = new int[n];
for (int i = 0; i < n; i++) {
rnk[sa[i]] = i;
}
final int[] lcp = new int[n - 1];
int h = 0;
for (int i = 0; i < n; i++) {
if (h > 0) h--;
if (rnk[i] == 0) {
continue;
}
final int j = sa[rnk[i] - 1];
for (; j + h < n && i + h < n; h++) {
if (s[j + h] != s[i + h]) break;
}
lcp[rnk[i] - 1] = h;
}
return lcp;
}
public static int[] lcpArray(final char[] s, final int[] sa) {
final int n = s.length;
final int[] s2 = new int[n];
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return lcpArray(s2, sa);
}
public static int[] lcpArray(final java.lang.String s, final int[] sa) {
return lcpArray(s.toCharArray(), sa);
}
public static int[] zAlgorithm(final int[] s) {
final int n = s.length;
if (n == 0) return new int[0];
final int[] z = new int[n];
for (int i = 1, j = 0; i < n; i++) {
int k = j + z[j] <= i ? 0 : Math.min(j + z[j] - i, z[i - j]);
while (i + k < n && s[k] == s[i + k]) k++;
z[i] = k;
if (j + z[j] < i + z[i]) j = i;
}
z[0] = n;
return z;
}
public static int[] zAlgorithm(final char[] s) {
final int n = s.length;
if (n == 0) return new int[0];
final int[] z = new int[n];
for (int i = 1, j = 0; i < n; i++) {
int k = j + z[j] <= i ? 0 : Math.min(j + z[j] - i, z[i - j]);
while (i + k < n && s[k] == s[i + k]) k++;
z[i] = k;
if (j + z[j] < i + z[i]) j = i;
}
z[0] = n;
return z;
}
public static int[] zAlgorithm(final String s) {
return zAlgorithm(s.toCharArray());
}
}
/**
* @verified https://atcoder.jp/contests/practice2/tasks/practice2_j
*/
public static final class SegTree<S> {
final int MAX;
final int N;
final java.util.function.BinaryOperator<S> op;
final S E;
final S[] data;
@SuppressWarnings("unchecked")
public SegTree(final int n, final java.util.function.BinaryOperator<S> op, final S e) {
MAX = n;
int k = 1;
while (k < n) k <<= 1;
N = k;
E = e;
this.op = op;
data = (S[]) new Object[N << 1];
java.util.Arrays.fill(data, E);
}
public SegTree(final S[] dat, final java.util.function.BinaryOperator<S> op, final S e) {
this(dat.length, op, e);
build(dat);
}
private void build(final S[] dat) {
final int l = dat.length;
System.arraycopy(dat, 0, data, N, l);
for (int i = N - 1; i > 0; i--) {
data[i] = op.apply(data[i << 1 | 0], data[i << 1 | 1]);
}
}
public void set(int p, final S x) {
exclusiveRangeCheck(p);
data[p += N] = x;
p >>= 1;
while (p > 0) {
data[p] = op.apply(data[p << 1 | 0], data[p << 1 | 1]);
p >>= 1;
}
}
public void set(int p, java.util.function.UnaryOperator<S> f) {
exclusiveRangeCheck(p);
data[p += N] = f.apply(data[p]);
p >>= 1;
while (p > 0) {
data[p] = op.apply(data[p << 1 | 0], data[p << 1 | 1]);
p >>= 1;
}
}
public S get(final int p) {
exclusiveRangeCheck(p);
return data[p + N];
}
public S prod(int l, int r) {
if (l > r) { throw new IllegalArgumentException(String.format("Invalid range: [%d, %d)", l, r)); }
inclusiveRangeCheck(l);
inclusiveRangeCheck(r);
S sumLeft = E;
S sumRight = E;
l += N;
r += N;
while (l < r) {
if ((l & 1) == 1) sumLeft = op.apply(sumLeft, data[l++]);
if ((r & 1) == 1) sumRight = op.apply(data[--r], sumRight);
l >>= 1;
r >>= 1;
}
return op.apply(sumLeft, sumRight);
}
public S allProd() {
return data[1];
}
public int maxRight(int l, final java.util.function.Predicate<S> f) {
inclusiveRangeCheck(l);
if (!f.test(E)) { throw new IllegalArgumentException("Identity element must satisfy the condition."); }
if (l == MAX) return MAX;
l += N;
S sum = E;
do {
l >>= Integer.numberOfTrailingZeros(l);
if (!f.test(op.apply(sum, data[l]))) {
while (l < N) {
l = l << 1;
if (f.test(op.apply(sum, data[l]))) {
sum = op.apply(sum, data[l]);
l++;
}
}
return l - N;
}
sum = op.apply(sum, data[l]);
l++;
} while ((l & -l) != l);
return MAX;
}
public int minLeft(int r, final java.util.function.Predicate<S> f) {
inclusiveRangeCheck(r);
if (!f.test(E)) { throw new IllegalArgumentException("Identity element must satisfy the condition."); }
if (r == 0) return 0;
r += N;
S sum = E;
do {
r--;
while (r > 1 && (r & 1) == 1) r >>= 1;
if (!f.test(op.apply(data[r], sum))) {
while (r < N) {
r = r << 1 | 1;
if (f.test(op.apply(data[r], sum))) {
sum = op.apply(data[r], sum);
r--;
}
}
return r + 1 - N;
}
sum = op.apply(data[r], sum);
} while ((r & -r) != r);
return 0;
}
private void exclusiveRangeCheck(final int p) {
if (p < 0 || p >= MAX) {
throw new IndexOutOfBoundsException(
String.format("Index %d out of bounds for the range [%d, %d).", p, 0, MAX));
}
}
private void inclusiveRangeCheck(final int p) {
if (p < 0 || p > MAX) {
throw new IndexOutOfBoundsException(
String.format("Index %d out of bounds for the range [%d, %d].", p, 0, MAX));
}
}
@Override
public String toString() {
StringBuilder sb = new StringBuilder();
sb.append('[');
for (int i = 0;i < N;++ i) {
if (i != 0) sb.append(", ");
sb.append(data[i + N]);
}
sb.append(']');
return sb.toString();
}
}
/**
*
* @verified https://atcoder.jp/contests/practice2/tasks/practice2_k
*/
public static final class LazySegTree<S, F> {
final int MAX;
final int N;
final int Log;
final java.util.function.BinaryOperator<S> Op;
final S E;
final java.util.function.BiFunction<F, S, S> Mapping;
final java.util.function.BinaryOperator<F> Composition;
final F Id;
final S[] Dat;
final F[] Laz;
@SuppressWarnings("unchecked")
public LazySegTree(final int n, final java.util.function.BinaryOperator<S> op, final S e,
final java.util.function.BiFunction<F, S, S> mapping,
final java.util.function.BinaryOperator<F> composition, final F id) {
MAX = n;
int k = 1;
while (k < n) k <<= 1;
N = k;
Log = Integer.numberOfTrailingZeros(N);
Op = op;
E = e;
Mapping = mapping;
Composition = composition;
Id = id;
Dat = (S[]) new Object[N << 1];
Laz = (F[]) new Object[N];
java.util.Arrays.fill(Dat, E);
java.util.Arrays.fill(Laz, Id);
}
public LazySegTree(final S[] dat, final java.util.function.BinaryOperator<S> op, final S e,
final java.util.function.BiFunction<F, S, S> mapping,
final java.util.function.BinaryOperator<F> composition, final F id) {
this(dat.length, op, e, mapping, composition, id);
build(dat);
}
private void build(final S[] dat) {
final int l = dat.length;
System.arraycopy(dat, 0, Dat, N, l);
for (int i = N - 1; i > 0; i--) {
Dat[i] = Op.apply(Dat[i << 1 | 0], Dat[i << 1 | 1]);
}
}
private void push(final int k) {
if (Laz[k] == Id) return;
final int lk = k << 1 | 0, rk = k << 1 | 1;
Dat[lk] = Mapping.apply(Laz[k], Dat[lk]);
Dat[rk] = Mapping.apply(Laz[k], Dat[rk]);
if (lk < N) Laz[lk] = Composition.apply(Laz[k], Laz[lk]);
if (rk < N) Laz[rk] = Composition.apply(Laz[k], Laz[rk]);
Laz[k] = Id;
}
private void pushTo(final int k) {
for (int i = Log; i > 0; i--) push(k >> i);
}
private void pushTo(final int lk, final int rk) {
for (int i = Log; i > 0; i--) {
if (lk >> i << i != lk) push(lk >> i);
if (rk >> i << i != rk) push(rk >> i);
}
}
private void updateFrom(int k) {
k >>= 1;
while (k > 0) {
Dat[k] = Op.apply(Dat[k << 1 | 0], Dat[k << 1 | 1]);
k >>= 1;
}
}
private void updateFrom(final int lk, final int rk) {
for (int i = 1; i <= Log; i++) {
if (lk >> i << i != lk) {
final int lki = lk >> i;
Dat[lki] = Op.apply(Dat[lki << 1 | 0], Dat[lki << 1 | 1]);
}
if (rk >> i << i != rk) {
final int rki = rk - 1 >> i;
Dat[rki] = Op.apply(Dat[rki << 1 | 0], Dat[rki << 1 | 1]);
}
}
}
public void set(int p, final S x) {
exclusiveRangeCheck(p);
p += N;
pushTo(p);
Dat[p] = x;
updateFrom(p);
}
public S get(int p) {
exclusiveRangeCheck(p);
p += N;
pushTo(p);
return Dat[p];
}
public S prod(int l, int r) {
if (l > r) { throw new IllegalArgumentException(String.format("Invalid range: [%d, %d)", l, r)); }
inclusiveRangeCheck(l);
inclusiveRangeCheck(r);
if (l == r) return E;
l += N;
r += N;
pushTo(l, r);
S sumLeft = E, sumRight = E;
while (l < r) {
if ((l & 1) == 1) sumLeft = Op.apply(sumLeft, Dat[l++]);
if ((r & 1) == 1) sumRight = Op.apply(Dat[--r], sumRight);
l >>= 1;
r >>= 1;
}
return Op.apply(sumLeft, sumRight);
}
public S allProd() {
return Dat[1];
}
public void apply(int p, final F f) {
exclusiveRangeCheck(p);
p += N;
pushTo(p);
Dat[p] = Mapping.apply(f, Dat[p]);
updateFrom(p);
}
public void apply(int l, int r, final F f) {
if (l > r) { throw new IllegalArgumentException(String.format("Invalid range: [%d, %d)", l, r)); }
inclusiveRangeCheck(l);
inclusiveRangeCheck(r);
if (l == r) return;
l += N;
r += N;
pushTo(l, r);
for (int l2 = l, r2 = r; l2 < r2;) {
if ((l2 & 1) == 1) {
Dat[l2] = Mapping.apply(f, Dat[l2]);
if (l2 < N) Laz[l2] = Composition.apply(f, Laz[l2]);
l2++;
}
if ((r2 & 1) == 1) {
r2--;
Dat[r2] = Mapping.apply(f, Dat[r2]);
if (r2 < N) Laz[r2] = Composition.apply(f, Laz[r2]);
}
l2 >>= 1;
r2 >>= 1;
}
updateFrom(l, r);
}
public int maxRight(int l, final java.util.function.Predicate<S> g) {
inclusiveRangeCheck(l);
if (!g.test(E)) { throw new IllegalArgumentException("Identity element must satisfy the condition."); }
if (l == MAX) return MAX;
l += N;
pushTo(l);
S sum = E;
do {
l >>= Integer.numberOfTrailingZeros(l);
if (!g.test(Op.apply(sum, Dat[l]))) {
while (l < N) {
push(l);
l = l << 1;
if (g.test(Op.apply(sum, Dat[l]))) {
sum = Op.apply(sum, Dat[l]);
l++;
}
}
return l - N;
}
sum = Op.apply(sum, Dat[l]);
l++;
} while ((l & -l) != l);
return MAX;
}
public int minLeft(int r, final java.util.function.Predicate<S> g) {
inclusiveRangeCheck(r);
if (!g.test(E)) { throw new IllegalArgumentException("Identity element must satisfy the condition."); }
if (r == 0) return 0;
r += N;
pushTo(r - 1);
S sum = E;
do {
r--;
while (r > 1 && (r & 1) == 1) r >>= 1;
if (!g.test(Op.apply(Dat[r], sum))) {
while (r < N) {
push(r);
r = r << 1 | 1;
if (g.test(Op.apply(Dat[r], sum))) {
sum = Op.apply(Dat[r], sum);
r--;
}
}
return r + 1 - N;
}
sum = Op.apply(Dat[r], sum);
} while ((r & -r) != r);
return 0;
}
private void exclusiveRangeCheck(final int p) {
if (p < 0 || p >= MAX) {
throw new IndexOutOfBoundsException(String.format("Index %d is not in [%d, %d).", p, 0, MAX));
}
}
private void inclusiveRangeCheck(final int p) {
if (p < 0 || p > MAX) {
throw new IndexOutOfBoundsException(String.format("Index %d is not in [%d, %d].", p, 0, MAX));
}
}
// **************** DEBUG **************** //
private int indent = 6;
public void setIndent(final int newIndent) { indent = newIndent; }
@Override
public String toString() {
return toString(1, 0);
}
private String toString(final int k, final int sp) {
if (k >= N) return indent(sp) + Dat[k];
String s = "";
s += toString(k << 1 | 1, sp + indent);
s += "\n";
s += indent(sp) + Dat[k] + "/" + Laz[k];
s += "\n";
s += toString(k << 1 | 0, sp + indent);
return s;
}
private static String indent(int n) {
final StringBuilder sb = new StringBuilder();
while (n-- > 0) sb.append(' ');
return sb.toString();
}
}
public static final class MultiSet<T> extends java.util.TreeMap<T, Long> {
private static final long serialVersionUID = 1L;
public MultiSet() {
super();
}
public MultiSet(final java.util.List<T> list) {
super();
for (final T e : list) this.addOne(e);
}
public long count(final Object elm) {
return getOrDefault(elm, 0L);
}
public void add(final T elm, final long amount) {
if (!containsKey(elm)) put(elm, amount);
else replace(elm, get(elm) + amount);
if (this.count(elm) == 0) this.remove(elm);
}
public void addOne(final T elm) {
this.add(elm, 1);
}
public void removeOne(final T elm) {
this.add(elm, -1);
}
public void removeAll(final T elm) {
this.add(elm, -this.count(elm));
}
public static <T> MultiSet<T> merge(final MultiSet<T> a, final MultiSet<T> b) {
final MultiSet<T> c = new MultiSet<>();
for (final T x : a.keySet()) c.add(x, a.count(x));
for (final T y : b.keySet()) c.add(y, b.count(y));
return c;
}
}
}
/**
* 高速な入出力を提供します。
*
* @author 31536000
*
*/
final class FastIO implements AutoCloseable {
private Input in;
private Output out;
private Output err;
private boolean outFlush = false;
private boolean autoOutFlush = true;
public static final java.io.PrintStream DUMMY_OUT = new DummyOut();
public FastIO() {
this(System.in, System.out, System.err);
}
public FastIO(final java.io.InputStream in, final java.io.PrintStream out, final java.io.PrintStream err) {
this.in = in instanceof Input ? (Input) in : new Input(in);
if (out instanceof Output) {
this.out = (Output) out;
} else {
this.out = new Output(out);
this.out.setAutoFlush(false);
}
if (err instanceof Output) {
this.err = (Output) err;
} else {
this.err = new Output(err);
this.err.setAutoFlush(false);
}
}
public static void setFastStandardOutput(final boolean set) {
final java.io.FileOutputStream fdOut = new java.io.FileOutputStream(java.io.FileDescriptor.out);
final java.io.FileOutputStream fdErr = new java.io.FileOutputStream(java.io.FileDescriptor.err);
if (set) {
System.out.flush();
final Output out = new Output(fdOut);
out.setAutoFlush(false);
System.setOut(out);
System.err.flush();
final Output err = new Output(fdErr);
err.setAutoFlush(false);
System.setErr(err);
} else {
System.out.flush();
final java.io.PrintStream out = new java.io.PrintStream(new java.io.BufferedOutputStream(fdOut, 128), true);
System.setOut(out);
System.err.flush();
final java.io.PrintStream err = new java.io.PrintStream(new java.io.BufferedOutputStream(fdErr, 128), true);
System.setErr(err);
}
}
public void setInputStream(final java.io.InputStream in) {
if (this.in == in) return;
this.in.close();
this.in = in instanceof Input ? (Input) in : new Input(in);
}
public void setInputStream(final java.io.File in) {
try {
this.in.close();
final java.io.InputStream input = new java.io.FileInputStream(in);
this.in = new Input(input);
} catch (final java.io.FileNotFoundException e) {
e.printStackTrace();
}
}
public Input getInputStream() { return in; }
public void setOutputStream(final java.io.OutputStream out) {
if (this.out == out) {
this.out.flush();
}
final boolean flush = this.out.autoFlush;
this.out.close();
if (out instanceof Output) {
this.out = (Output) out;
this.out.setAutoFlush(flush);
} else {
this.out = new Output(out);
this.out.setAutoFlush(flush);
}
}
public void setOutputStream(final java.io.File out) {
try {
setOutputStream(new java.io.FileOutputStream(out));
} catch (final java.io.FileNotFoundException e) {
e.printStackTrace();
}
}
public void setOutputStream(final java.io.FileDescriptor out) {
setOutputStream(new java.io.FileOutputStream(out));
}
public Output getOutputStream() { return out; }
public void setErrorStream(final java.io.OutputStream err) {
if (this.err == err) {
this.err.flush();
}
final boolean flush = this.err.autoFlush;
this.err.close();
if (err instanceof Output) {
this.err = (Output) err;
this.err.setAutoFlush(flush);
} else {
this.err = new Output(err);
this.err.setAutoFlush(flush);
}
}
public void setErrorStream(final java.io.File err) {
try {
setErrorStream(new java.io.FileOutputStream(err));
} catch (final java.io.FileNotFoundException e) {
e.printStackTrace();
}
}
public void setErrorStream(final java.io.FileDescriptor err) {
setErrorStream(new java.io.FileOutputStream(err));
}
public Output getErrorStream() { return err; }
public void setAutoFlush(final boolean flush) {
out.setAutoFlush(flush);
err.setAutoFlush(flush);
}
public void setAutoOutFlush(final boolean flush) { autoOutFlush = flush; }
private void autoFlush() {
if (outFlush) {
outFlush = false;
flush();
}
}
public boolean hasNext() {
autoFlush();
return in.hasNext();
}
public boolean nextBoolean() {
autoFlush();
return in.nextBoolean();
}
public boolean[] nextBoolean(final char T) {
final char[] s = nextChars();
final boolean[] ret = new boolean[s.length];
for (int i = 0; i < ret.length; ++i) ret[i] = s[i] == T;
return ret;
}
public boolean[][] nextBoolean(final char T, final int height) {
final boolean[][] ret = new boolean[height][];
for (int i = 0; i < ret.length; ++i) {
final char[] s = nextChars();
ret[i] = new boolean[s.length];
for (int j = 0; j < ret[i].length; ++j) ret[i][j] = s[j] == T;
}
return ret;
}
public byte nextByte() {
autoFlush();
return in.nextByte();
}
public short nextShort() {
autoFlush();
return in.nextShort();
}
public short[] nextShort(final int width) {
final short[] ret = new short[width];
for (int i = 0; i < width; ++i) ret[i] = nextShort();
return ret;
}
public short[][] nextShort(final int width, final int height) {
final short[][] ret = new short[height][width];
for (int i = 0, j; i < height; ++i) for (j = 0; j < width; ++j) ret[i][j] = nextShort();
return ret;
}
public int nextInt() {
autoFlush();
return in.nextInt();
}
public int[] nextInt(final int width) {
final int[] ret = new int[width];
for (int i = 0; i < width; ++i) ret[i] = nextInt();
return ret;
}
public int[][] nextInt(final int width, final int height) {
final int[][] ret = new int[height][width];
for (int i = 0, j; i < height; ++i) for (j = 0; j < width; ++j) ret[i][j] = nextInt();
return ret;
}
public int[] nextInts() {
return nextInts(" ");
}
public int[] nextInts(final String parse) {
final String[] get = nextLine().split(parse);
final int[] ret = new int[get.length];
for (int i = 0; i < ret.length; ++i) ret[i] = Integer.valueOf(get[i]);
return ret;
}
public long nextLong() {
autoFlush();
return in.nextLong();
}
public long[] nextLong(final int width) {
final long[] ret = new long[width];
for (int i = 0; i < width; ++i) ret[i] = nextLong();
return ret;
}
public long[][] nextLong(final int width, final int height) {
final long[][] ret = new long[height][width];
for (int i = 0, j; i < height; ++i) for (j = 0; j < width; ++j) ret[j][i] = nextLong();
return ret;
}
public long[] nextLongs() {
return nextLongs(" ");
}
public long[] nextLongs(final String parse) {
final String[] get = nextLine().split(parse);
final long[] ret = new long[get.length];
for (int i = 0; i < ret.length; ++i) ret[i] = Long.valueOf(get[i]);
return ret;
}
public float nextFloat() {
autoFlush();
return in.nextFloat();
}
public double nextDouble() {
autoFlush();
return in.nextDouble();
}
public char nextChar() {
autoFlush();
return in.nextChar();
}
public char[] nextChars() {
return next().toCharArray();
}
public char[] nextChars(final char around) {
return (around + next() + around).toCharArray();
}
public char[][] nextChars(final int height) {
final char[][] ret = new char[height][];
for (int i = 0; i < ret.length; ++i) ret[i] = nextChars();
return ret;
}
public char[][] nextChars(final int height, final char around) {
final char[][] ret = new char[height + 2][];
for (int i = 1; i <= height; ++i) ret[i] = nextChars(around);
java.util.Arrays.fill(ret[0] = new char[ret[1].length], around);
java.util.Arrays.fill(ret[ret.length - 1] = new char[ret[0].length], around);
return ret;
}
public String next() {
autoFlush();
return in.next();
}
public String nextLine() {
autoFlush();
return in.nextLine();
}
public Point nextPoint() {
return new Point(nextInt(), nextInt());
}
public Point[] nextPoint(final int width) {
final Point[] ret = new Point[width];
for (int i = 0; i < width; ++i) ret[i] = nextPoint();
return ret;
}
public boolean print(final boolean b) {
out.print(b);
outFlush = autoOutFlush;
return b;
}
public byte print(final byte b) {
out.print(b);
outFlush = autoOutFlush;
return b;
}
public short print(final short s) {
out.print(s);
outFlush = autoOutFlush;
return s;
}
public int print(final int i) {
out.print(i);
outFlush = autoOutFlush;
return i;
}
public long print(final long l) {
out.print(l);
outFlush = autoOutFlush;
return l;
}
public float print(final float f) {
out.print(f);
outFlush = autoOutFlush;
return f;
}
public double print(final double d) {
out.print(d);
outFlush = autoOutFlush;
return d;
}
public double print(final double d, final int length) {
out.print(d, length);
outFlush = autoOutFlush;
return d;
}
public char print(final char c) {
out.print(c);
outFlush = autoOutFlush;
return c;
}
public char[] print(final char[] s) {
out.print(s);
outFlush = autoOutFlush;
return s;
}
public String print(final String s) {
out.print(s);
outFlush = autoOutFlush;
return s;
}
public Object print(final Object obj) {
if (obj != null && obj.getClass().isArray()) {
if (obj instanceof boolean[][]) print(obj, "\n", " ");
else if (obj instanceof byte[][]) print(obj, "\n", " ");
else if (obj instanceof short[][]) print(obj, "\n", " ");
else if (obj instanceof int[][]) print(obj, "\n", " ");
else if (obj instanceof long[][]) print(obj, "\n", " ");
else if (obj instanceof float[][]) print(obj, "\n", " ");
else if (obj instanceof double[][]) print(obj, "\n", " ");
else if (obj instanceof char[][]) print(obj, "\n", " ");
else if (obj instanceof Object[][]) print(obj, "\n", " ");
else print(obj, " ");
} else {
out.print(obj);
outFlush = autoOutFlush;
}
return obj;
}
public Object print(final Object array, final String... parse) {
print(array, 0, parse);
return array;
}
private Object print(final Object array, final int check, final String... parse) {
if (check >= parse.length) {
if (array != null && array.getClass().isArray()) throw new IllegalArgumentException("not equal dimension");
print(array);
return array;
}
final String str = parse[check];
if (array instanceof Object[]) {
final Object[] obj = (Object[]) array;
if (obj.length == 0) return array;
print(obj[0], check + 1, parse);
for (int i = 1; i < obj.length; ++i) {
print(str);
print(obj[i], check + 1, parse);
}
return array;
}
if (array instanceof java.util.Collection) {
final java.util.Iterator<?> iter = ((java.util.Collection<?>) array).iterator();
if (!iter.hasNext()) return array;
print(iter.next(), check + 1, parse);
while (iter.hasNext()) {
print(str);
print(iter.next(), check + 1, parse);
}
return array;
}
if (!array.getClass().isArray()) throw new IllegalArgumentException("not equal dimension");
if (check != parse.length - 1) throw new IllegalArgumentException("not equal dimension");
if (array instanceof boolean[]) {
final boolean[] obj = (boolean[]) array;
if (obj.length == 0) return array;
print(obj[0]);
for (int i = 1; i < obj.length; ++i) {
print(str);
print(obj[i]);
}
} else if (array instanceof byte[]) {
final byte[] obj = (byte[]) array;
if (obj.length == 0) return array;
print(obj[0]);
for (int i = 1; i < obj.length; ++i) {
print(str);
print(obj[i]);
}
return array;
} else if (array instanceof short[]) {
final short[] obj = (short[]) array;
if (obj.length == 0) return array;
print(obj[0]);
for (int i = 1; i < obj.length; ++i) {
print(str);
print(obj[i]);
}
} else if (array instanceof int[]) {
final int[] obj = (int[]) array;
if (obj.length == 0) return array;
print(obj[0]);
for (int i = 1; i < obj.length; ++i) {
print(str);
print(obj[i]);
}
} else if (array instanceof long[]) {
final long[] obj = (long[]) array;
if (obj.length == 0) return array;
print(obj[0]);
for (int i = 1; i < obj.length; ++i) {
print(str);
print(obj[i]);
}
} else if (array instanceof float[]) {
final float[] obj = (float[]) array;
if (obj.length == 0) return array;
print(obj[0]);
for (int i = 1; i < obj.length; ++i) {
print(str);
print(obj[i]);
}
} else if (array instanceof double[]) {
final double[] obj = (double[]) array;
if (obj.length == 0) return array;
print(obj[0]);
for (int i = 1; i < obj.length; ++i) {
print(str);
print(obj[i]);
}
} else if (array instanceof char[]) {
final char[] obj = (char[]) array;
if (obj.length == 0) return array;
print(obj[0]);
for (int i = 1; i < obj.length; ++i) {
print(str);
print(obj[i]);
}
} else throw new AssertionError();
return array;
}
public Object[] print(final String parse, final Object... args) {
print(args[0]);
for (int i = 1; i < args.length; ++i) {
print(parse);
print(args[i]);
}
return args;
}
public Object[] printf(final String format, final Object... args) {
out.printf(format, args);
outFlush = autoOutFlush;
return args;
}
public Object[] printf(final java.util.Locale l, final String format, final Object... args) {
out.printf(l, format, args);
outFlush = autoOutFlush;
return args;
}
public void println() {
out.println();
outFlush = autoOutFlush;
}
public boolean println(final boolean b) {
out.println(b);
outFlush = autoOutFlush;
return b;
}
public byte println(final byte b) {
out.println(b);
outFlush = autoOutFlush;
return b;
}
public short println(final short s) {
out.println(s);
outFlush = autoOutFlush;
return s;
}
public int println(final int i) {
out.println(i);
outFlush = autoOutFlush;
return i;
}
public long println(final long l) {
out.println(l);
outFlush = autoOutFlush;
return l;
}
public float println(final float f) {
out.println(f);
outFlush = autoOutFlush;
return f;
}
public double println(final double d) {
out.println(d);
outFlush = autoOutFlush;
return d;
}
public double println(final double d, final int length) {
out.println(d, length);
outFlush = autoOutFlush;
return d;
}
public char println(final char c) {
out.println(c);
outFlush = autoOutFlush;
return c;
}
public char[] println(final char[] s) {
out.println(s);
outFlush = autoOutFlush;
return s;
}
public String println(final String s) {
out.println(s);
return s;
}
public Object println(final Object obj) {
print(obj);
println();
return obj;
}
public Object println(final Object array, final String... parse) {
print(array, parse);
println();
return array;
}
public boolean debug(final boolean b) {
err.print(b);
outFlush = autoOutFlush;
return b;
}
public byte debug(final byte b) {
err.print(b);
outFlush = autoOutFlush;
return b;
}
public short debug(final short s) {
err.print(s);
outFlush = autoOutFlush;
return s;
}
public int debug(final int i) {
err.print(i);
outFlush = autoOutFlush;
return i;
}
public long debug(final long l) {
err.print(l);
outFlush = autoOutFlush;
return l;
}
public float debug(final float f) {
err.print(f);
outFlush = autoOutFlush;
return f;
}
public double debug(final double d) {
err.print(d);
outFlush = autoOutFlush;
return d;
}
public double debug(final double d, final int length) {
err.print(d, length);
outFlush = autoOutFlush;
return d;
}
public char debug(final char c) {
err.print(c);
outFlush = autoOutFlush;
return c;
}
public char[] debug(final char[] s) {
err.print(s);
outFlush = autoOutFlush;
return s;
}
public String debug(final String s) {
err.print(s);
outFlush = autoOutFlush;
return s;
}
public Object debug(final Object obj) {
if (obj != null && obj.getClass().isArray()) {
if (obj instanceof boolean[][]) debug(obj, "\n", " ");
else if (obj instanceof byte[][]) debug(obj, "\n", " ");
else if (obj instanceof short[][]) debug(obj, "\n", " ");
else if (obj instanceof int[][]) debug(obj, "\n", " ");
else if (obj instanceof long[][]) debug(obj, "\n", " ");
else if (obj instanceof float[][]) debug(obj, "\n", " ");
else if (obj instanceof double[][]) debug(obj, "\n", " ");
else if (obj instanceof char[][]) debug(obj, "\n", " ");
else if (obj instanceof Object[][]) debug(obj, "\n", " ");
else debug(obj, " ");
} else {
err.print(obj);
outFlush = autoOutFlush;
}
return obj;
}
public Object debug(final Object array, final String... parse) {
debug(array, 0, parse);
return array;
}
private Object debug(final Object array, final int check, final String... parse) {
if (check >= parse.length) {
if (array != null && array.getClass().isArray()) throw new IllegalArgumentException("not equal dimension");
debug(array);
return array;
}
final String str = parse[check];
if (array instanceof Object[]) {
final Object[] obj = (Object[]) array;
if (obj.length == 0) return array;
debug(obj[0], check + 1, parse);
for (int i = 1; i < obj.length; ++i) {
debug(str);
debug(obj[i], check + 1, parse);
}
return array;
}
if (array instanceof java.util.Collection) {
final java.util.Iterator<?> iter = ((java.util.Collection<?>) array).iterator();
if (!iter.hasNext()) return array;
debug(iter.next(), check + 1, parse);
while (iter.hasNext()) {
debug(str);
debug(iter.next(), check + 1, parse);
}
return array;
}
if (!array.getClass().isArray()) throw new IllegalArgumentException("not equal dimension");
if (check != parse.length - 1) throw new IllegalArgumentException("not equal dimension");
if (array instanceof boolean[]) {
final boolean[] obj = (boolean[]) array;
if (obj.length == 0) return array;
debug(obj[0]);
for (int i = 1; i < obj.length; ++i) {
debug(str);
debug(obj[i]);
}
} else if (array instanceof byte[]) {
final byte[] obj = (byte[]) array;
if (obj.length == 0) return array;
debug(obj[0]);
for (int i = 1; i < obj.length; ++i) {
debug(str);
debug(obj[i]);
}
return array;
} else if (array instanceof short[]) {
final short[] obj = (short[]) array;
if (obj.length == 0) return array;
debug(obj[0]);
for (int i = 1; i < obj.length; ++i) {
debug(str);
debug(obj[i]);
}
} else if (array instanceof int[]) {
final int[] obj = (int[]) array;
if (obj.length == 0) return array;
debug(obj[0]);
for (int i = 1; i < obj.length; ++i) {
debug(str);
debug(obj[i]);
}
} else if (array instanceof long[]) {
final long[] obj = (long[]) array;
if (obj.length == 0) return array;
debug(obj[0]);
for (int i = 1; i < obj.length; ++i) {
debug(str);
debug(obj[i]);
}
} else if (array instanceof float[]) {
final float[] obj = (float[]) array;
if (obj.length == 0) return array;
debug(obj[0]);
for (int i = 1; i < obj.length; ++i) {
debug(str);
debug(obj[i]);
}
} else if (array instanceof double[]) {
final double[] obj = (double[]) array;
if (obj.length == 0) return array;
debug(obj[0]);
for (int i = 1; i < obj.length; ++i) {
debug(str);
debug(obj[i]);
}
} else if (array instanceof char[]) {
final char[] obj = (char[]) array;
if (obj.length == 0) return array;
debug(obj[0]);
for (int i = 1; i < obj.length; ++i) {
debug(str);
debug(obj[i]);
}
} else throw new AssertionError();
return array;
}
public Object[] debug(final String parse, final Object... args) {
debug(args[0]);
for (int i = 1; i < args.length; ++i) {
debug(parse);
debug(args[i]);
}
return args;
}
public Object[] debugf(final String format, final Object... args) {
err.printf(format, args);
outFlush = autoOutFlush;
return args;
}
public Object[] debugf(final java.util.Locale l, final String format, final Object... args) {
err.printf(l, format, args);
outFlush = autoOutFlush;
return args;
}
public void debugln() {
err.println();
outFlush = autoOutFlush;
}
public boolean debugln(final boolean b) {
err.println(b);
outFlush = autoOutFlush;
return b;
}
public byte debugln(final byte b) {
err.println(b);
outFlush = autoOutFlush;
return b;
}
public short debugln(final short s) {
err.println(s);
outFlush = autoOutFlush;
return s;
}
public int debugln(final int i) {
err.println(i);
outFlush = autoOutFlush;
return i;
}
public long debugln(final long l) {
err.println(l);
outFlush = autoOutFlush;
return l;
}
public float debugln(final float f) {
err.println(f);
outFlush = autoOutFlush;
return f;
}
public double debugln(final double d) {
err.println(d);
outFlush = autoOutFlush;
return d;
}
public double debugln(final double d, final int length) {
err.println(d, length);
outFlush = autoOutFlush;
return d;
}
public char debugln(final char c) {
err.println(c);
outFlush = autoOutFlush;
return c;
}
public char[] debugln(final char[] s) {
err.println(s);
outFlush = autoOutFlush;
return s;
}
public String debugln(final String s) {
err.println(s);
outFlush = autoOutFlush;
return s;
}
public Object debugln(final Object obj) {
debug(obj);
debugln();
return obj;
}
public Object debugln(final Object array, final String... parse) {
debug(array, parse);
debugln();
return array;
}
public void flush() {
out.flush();
err.flush();
outFlush = false;
}
@Override
public void close() {
out.close();
err.close();
}
public static final class Input extends java.io.InputStream {
private final java.io.InputStream in;
private final byte[] buffer = new byte[1 << 13];
private int read = 0;
private int length = 0;
public Input(final java.io.InputStream in) {
this.in = in;
}
@Override
public int available() {
try {
return in.available();
} catch (final java.io.IOException e) {
e.printStackTrace();
}
return 0;
}
@Override
public void close() {
try {
in.close();
read = length = 0;
} catch (final java.io.IOException e) {
e.printStackTrace();
}
}
@Override
public int read() {
if (hasNextByte()) return nextByte();
return 0;
}
private boolean hasNextByte() {
if (read < length) return true;
read = 0;
try {
length = in.read(buffer);
} catch (final java.io.IOException e) {
e.printStackTrace();
}
return length > 0;
}
private static boolean isPrintableChar(final byte c) {
return 32 < c || c < 0;
}
private static boolean isNumber(final byte c) {
return '0' <= c && c <= '9';
}
private boolean readNewLine() {
if (hasNextByte()) {
if (buffer[read] == '\r') {
++read;
if (hasNextByte() && buffer[read] == '\n') ++read;
return true;
}
if (buffer[read] == '\n') {
++read;
return true;
}
}
return false;
}
public boolean hasNext() {
while (hasNextByte() && !isPrintableChar(buffer[read])) read++;
return hasNextByte();
}
private byte nextTokenByte() {
while (hasNextByte() && !isPrintableChar(buffer[read])) read++;
return buffer[read++];
}
public boolean nextBoolean() {
return Boolean.valueOf(next());
}
public byte nextByte() {
if (hasNextByte()) return buffer[read++];
throw new java.util.NoSuchElementException();
}
public short nextShort() {
byte b = nextTokenByte();
short n = 0;
try {
if (b == '-') {
while (isNumber(b = nextByte())) n = (short) (n * 10 + '0' - b);
return n;
} else if (!isNumber(b)) throw new NumberFormatException();
do n = (short) (n * 10 + b - '0'); while (isNumber(b = nextByte()));
return n;
} catch (final java.util.NoSuchElementException e) {
return n;
}
}
public int nextInt() {
byte b = nextTokenByte();
int n = 0;
try {
if (b == '-') {
while (isNumber(b = nextByte())) n = n * 10 + '0' - b;
return n;
} else if (!isNumber(b)) throw new NumberFormatException();
do n = n * 10 + b - '0'; while (isNumber(b = nextByte()));
return n;
} catch (final java.util.NoSuchElementException e) {
return n;
}
}
public long nextLong() {
byte b = nextTokenByte();
long n = 0;
try {
if (b == '-') {
while (isNumber(b = nextByte())) n = n * 10 + '0' - b;
return n;
} else if (!isNumber(b)) throw new NumberFormatException();
do n = n * 10 + b - '0'; while (isNumber(b = nextByte()));
return n;
} catch (final java.util.NoSuchElementException e) {
return n;
}
}
public float nextFloat() {
return Float.parseFloat(next());
}
public double nextDouble() {
return Double.parseDouble(next());
}
public char nextChar() {
final byte b = nextByte();
if ((b & 0x80) == 0) return (char) b;
if ((b & 0x20) == 0) return (char) ((b & 0x1F) << 6 | nextByte() & 0x3F);
return (char) ((b & 0xF) << 12 | (nextByte() & 0x3F) << 6 | nextByte() & 0x3F);
}
public String next() {
if (!hasNext()) throw new java.util.NoSuchElementException();
final StringBuilder sb = new StringBuilder();
do sb.append(nextChar()); while (hasNextByte() && isPrintableChar(buffer[read]));
return sb.toString();
}
public String nextLine() {
final StringBuilder sb = new StringBuilder();
while (!readNewLine()) sb.append(nextChar());
return sb.toString();
}
}
public static final class Output extends java.io.PrintStream {
private final byte[] buffer = new byte[1 << 13];
private int read = 0;
private boolean autoFlush = true;
public Output(final java.io.OutputStream out) {
super(out);
}
public void setAutoFlush(final boolean autoFlush) { this.autoFlush = autoFlush; }
@Override
public void close() {
if (out == System.out || out == System.err || this == System.out || this == System.err) {
flush();
return;
}
try {
flush();
out.close();
} catch (final java.io.IOException e) {
e.printStackTrace();
}
}
@Override
public void flush() {
try {
write();
out.flush();
} catch (final java.io.IOException e) {
e.printStackTrace();
}
}
@Override
public void write(final byte[] b) {
if (b.length < buffer.length) {
ensureBuffer(b.length);
System.arraycopy(b, 0, buffer, read, b.length);
read += b.length;
} else {
write();
try {
out.write(b);
} catch (final java.io.IOException e) {
e.printStackTrace();
}
}
}
@Override
public void write(final byte[] b, final int off, final int len) {
if (len < buffer.length) {
ensureBuffer(len);
System.arraycopy(b, off, buffer, read, len);
read += len;
} else {
write();
try {
out.write(b, off, len);
} catch (final java.io.IOException e) {
e.printStackTrace();
}
}
}
@Override
public void write(final int b) {
print((byte) b);
}
private void write() {
try {
out.write(buffer, 0, read);
read = 0;
} catch (final java.io.IOException e) {
e.printStackTrace();
}
}
private void ensureBuffer(final int size) {
if (read + size > buffer.length) {
write();
}
}
@Override
public void print(final boolean b) {
if (b) {
ensureBuffer(4);
buffer[read++] = 't';
buffer[read++] = 'r';
buffer[read++] = 'u';
buffer[read++] = 'e';
} else {
ensureBuffer(5);
buffer[read++] = 'f';
buffer[read++] = 'a';
buffer[read++] = 'l';
buffer[read++] = 's';
buffer[read++] = 'e';
}
}
public void print(final byte b) {
ensureBuffer(1);
buffer[read++] = b;
}
private static int digit(final short s) {
return s >= 100 ? s >= 1000 ? s >= 10000 ? 5 : 4 : 3 : s >= 10 ? 2 : 1;
}
public void print(short s) {
ensureBuffer(6);
if (s < 0) {
if (s == -32768) {
buffer[read++] = '-';
buffer[read++] = '3';
buffer[read++] = '2';
buffer[read++] = '7';
buffer[read++] = '6';
buffer[read++] = '8';
return;
}
buffer[read++] = '-';
s = (short) -s;
}
final int digit = digit(s);
int i = read + digit;
while (i-- > read) {
buffer[i] = (byte) (s % 10 + '0');
s /= 10;
}
read += digit;
}
private static int digit(final int i) {
if (i >= 1000000000) return 10;
if (i >= 100000000) return 9;
if (i >= 10000000) return 8;
if (i >= 1000000) return 7;
if (i >= 100000) return 6;
if (i >= 10000) return 5;
if (i >= 1000) return 4;
if (i >= 100) return 3;
if (i >= 10) return 2;
return 1;
}
@Override
public void print(int i) {
ensureBuffer(11);
if (i < 0) {
if (i == -2147483648) {
buffer[read++] = '-';
buffer[read++] = '2';
buffer[read++] = '1';
buffer[read++] = '4';
buffer[read++] = '7';
buffer[read++] = '4';
buffer[read++] = '8';
buffer[read++] = '3';
buffer[read++] = '6';
buffer[read++] = '4';
buffer[read++] = '8';
return;
}
buffer[read++] = '-';
i = -i;
}
final int digit = digit(i);
int j = read + digit;
while (j-- > read) {
buffer[j] = (byte) (i % 10 + '0');
i /= 10;
}
read += digit;
}
private static int digit(final long l) {
if (l >= 1000000000000000000L) return 19;
if (l >= 100000000000000000L) return 18;
if (l >= 10000000000000000L) return 17;
if (l >= 1000000000000000L) return 16;
if (l >= 100000000000000L) return 15;
if (l >= 10000000000000L) return 14;
if (l >= 1000000000000L) return 13;
if (l >= 100000000000L) return 12;
if (l >= 10000000000L) return 11;
if (l >= 1000000000L) return 10;
if (l >= 100000000L) return 9;
if (l >= 10000000L) return 8;
if (l >= 1000000L) return 7;
if (l >= 100000L) return 6;
if (l >= 10000L) return 5;
if (l >= 1000L) return 4;
if (l >= 100L) return 3;
if (l >= 10L) return 2;
return 1;
}
@Override
public void print(long l) {
ensureBuffer(20);
if (l < 0) {
if (l == -9223372036854775808L) {
buffer[read++] = '-';
buffer[read++] = '9';
buffer[read++] = '2';
buffer[read++] = '2';
buffer[read++] = '3';
buffer[read++] = '3';
buffer[read++] = '7';
buffer[read++] = '2';
buffer[read++] = '0';
buffer[read++] = '3';
buffer[read++] = '6';
buffer[read++] = '8';
buffer[read++] = '5';
buffer[read++] = '4';
buffer[read++] = '7';
buffer[read++] = '7';
buffer[read++] = '5';
buffer[read++] = '8';
buffer[read++] = '0';
buffer[read++] = '8';
return;
}
buffer[read++] = '-';
l = -l;
}
final int digit = digit(l);
int i = read + digit;
while (i-- > read) {
buffer[i] = (byte) (l % 10 + '0');
l /= 10;
}
read += digit;
}
@Override
public void print(final float f) {
print(Float.toString(f));
}
@Override
public void print(final double d) {
print(Double.toString(d));
}
public void print(double d, final int n) {
if (d < 0) {
ensureBuffer(1);
buffer[read++] = '-';
d = -d;
}
d += Math.pow(10, -n) / 2;
final long l = (long) d;
print(l);
ensureBuffer(n + 1);
buffer[read++] = '.';
d -= l;
for (int i = 0; i < n; i++) {
d *= 10;
final int in = (int) d;
buffer[read++] = (byte) (in + '0');
d -= in;
}
}
@Override
public void print(final char c) {
if (c < 0x80) {
ensureBuffer(1);
buffer[read++] = (byte) c;
} else if (c < 0x07FF) {
ensureBuffer(2);
buffer[read++] = (byte) (c >> 6 & 0x3F | 0x80);
buffer[read++] = (byte) (c & 0x3F | 0x80);
} else {
ensureBuffer(3);
buffer[read++] = (byte) (c >> 12 & 0xF | 0xE0);
buffer[read++] = (byte) (c >> 6 & 0x3F | 0x80);
buffer[read++] = (byte) (c & 0x3F | 0x80);
}
}
@Override
public void print(final char[] s) {
for (final char i : s) print(i);
}
@Override
public void print(final String s) {
print(s.toCharArray());
}
@Override
public void print(final Object o) {
print(o.toString());
}
@Override
public Output printf(final java.util.Locale l, final String format, final Object... args) {
print(String.format(l, format, args));
return this;
}
@Override
public Output printf(final String format, final Object... args) {
print(String.format(format, args));
return this;
}
@Override
public void println() {
ensureBuffer(1);
buffer[read++] = '\n';
if (autoFlush) flush();
}
@Override
public void println(final boolean b) {
print(b);
println();
}
public void println(final byte b) {
print(b);
println();
}
public void println(final short s) {
print(s);
println();
}
@Override
public void println(final int i) {
print(i);
println();
}
@Override
public void println(final long l) {
print(l);
println();
}
@Override
public void println(final float f) {
print(f);
println();
}
@Override
public void println(final double d) {
print(d);
println();
}
public void println(final double d, final int n) {
print(d, n);
println();
}
@Override
public void println(final char c) {
print(c);
println();
}
@Override
public void println(final char[] s) {
print(s);
println();
}
@Override
public void println(final String s) {
print(s);
println();
}
@Override
public void println(final Object o) {
print(o);
println();
}
@Override
public Output append(final char c) {
print(c);
return this;
}
@Override
public Output append(CharSequence csq) {
if (csq == null) csq = "null";
print(csq.toString());
return this;
}
@Override
public Output append(CharSequence csq, final int start, final int end) {
if (csq == null) csq = "null";
print(csq.subSequence(start, end).toString());
return this;
}
}
public static final class DummyOut extends java.io.PrintStream {
public DummyOut() {
super(new Dummy());
}
private static class Dummy extends java.io.OutputStream {
@Override
public void close() {
}
@Override
public void flush() {
}
@Override
public void write(final byte[] b) {
}
@Override
public void write(final byte[] b, final int off, final int len) {
}
@Override
public void write(final int b) {
}
}
}
}
|
ConDefects/ConDefects/Code/abc352_f/Java/53132740
|
condefects-java_data_1857
|
// package Codeforce;
import java.io.BufferedOutputStream;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.*;
public class Main {
static PrintWriter out = new PrintWriter(new BufferedOutputStream(System.out));
static Reader in = new Reader();
public static void main(String[] args) {
// int t = in.nextInt();
// while (t-- > 0) {
// solve();
// }
solve();
out.close();
}
static void solve() {
n = in.nextInt();
int m = in.nextInt();
uf = new UnionFind(n + 1);
for (int i = 0; i < m; i++) {
int a = in.nextInt() - 1, b = in.nextInt() - 1, c = in.nextInt();
uf.union(a, b, c);
}
for (int i = 0; i < n; i++) {
if (uf.find(i) == i) {
int shape = 0;
List<Integer> list = new ArrayList<>();
for (int j = 0; j < n; j++) {
if (uf.find(j) == i) {
shape |= 1 << uf.inc[j];
list.add(j);
}
}
src.add(list);
shapes.add(shape);
}
}
int size = shapes.size();
sets = new Set[size];
Arrays.setAll(sets, e -> new HashSet<>());
memo = new Boolean[size + 1][1 << n];
dfs(0, 0);
int[] ans = new int[n];
Arrays.fill(ans, -1);
for (int i = 0; i < size; i++) {
for (int j : src.get(i)) {
if (sets[i].size() == 1) {
int f = sets[i].iterator().next();
ans[j] = uf.inc[j] + f + 1;
}
}
}
for (int x : ans) {
out.print(x + " ");
}
out.println();
}
static boolean dfs(int i, int s) {
if (i == shapes.size()) {
return s == (1 << n) - 1;
}
if (memo[i][s] != null) {
return memo[i][s];
}
int shape = shapes.get(i);
boolean res = false;
for (int j = 0; j < n; j++) {
int next = shape << j;
if (next >= (1 << n) || (next & s) != 0) {
continue;
}
if (dfs(i + 1, s | next)) {
sets[i].add(j);
res = true;
}
}
return memo[i][s] = res;
}
static Boolean[][] memo;
static Set<Integer>[] sets;
static List<Integer> shapes = new ArrayList<>();
static List<List<Integer>> src = new ArrayList<>();
static UnionFind uf;
static int n;
static class UnionFind {
int[] parent;
int[] inc;
UnionFind(int n) {
parent = new int[n];
Arrays.setAll(parent, i -> i);
inc = new int[n];
}
int find(int x) {
if (parent[x] != x) {
int fx = find(parent[x]);
inc[x] += inc[parent[x]];
parent[x] = fx;
}
return parent[x];
}
void union(int x, int y, int dis) {
int fx = find(x), fy = find(x);
if (fx == fy) {
return;
}
int d = dis - inc[x] + inc[y];
if (d < 0) {
union(y, x, -dis);
return;
}
inc[fx] = dis - inc[x] + inc[y];
parent[fx] = fy;
}
}
}
class Reader {
private BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
private StringTokenizer st;
boolean hasNext() {
try {
while (st == null || !st.hasMoreElements()) {
st = new StringTokenizer(br.readLine());
}
} catch (Exception e) {
return false;
}
return true;
}
String next() {
try {
while (st == null || !st.hasMoreElements()) {
st = new StringTokenizer(br.readLine());
}
} catch (Exception ignored) {
}
return st.nextToken();
}
int nextInt() {
return Integer.parseInt(next());
}
int[] nextIntArray(int n) {
int[] arr = new int[n];
for (int i = 0; i < n; i++) {
arr[i] = nextInt();
}
return arr;
}
long nextLong() {
return java.lang.Long.parseLong(next());
}
long[] nextLongArray(int n) {
long[] arr = new long[n];
for (int i = 0; i < n; i++) {
arr[i] = nextLong();
}
return arr;
}
String nextLine() {
String s = "";
try {
s = br.readLine();
} catch (Exception ignored) {
}
return s;
}
}
// package Codeforce;
import java.io.BufferedOutputStream;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.*;
public class Main {
static PrintWriter out = new PrintWriter(new BufferedOutputStream(System.out));
static Reader in = new Reader();
public static void main(String[] args) {
// int t = in.nextInt();
// while (t-- > 0) {
// solve();
// }
solve();
out.close();
}
static void solve() {
n = in.nextInt();
int m = in.nextInt();
uf = new UnionFind(n + 1);
for (int i = 0; i < m; i++) {
int a = in.nextInt() - 1, b = in.nextInt() - 1, c = in.nextInt();
uf.union(a, b, c);
}
for (int i = 0; i < n; i++) {
if (uf.find(i) == i) {
int shape = 0;
List<Integer> list = new ArrayList<>();
for (int j = 0; j < n; j++) {
if (uf.find(j) == i) {
shape |= 1 << uf.inc[j];
list.add(j);
}
}
src.add(list);
shapes.add(shape);
}
}
int size = shapes.size();
sets = new Set[size];
Arrays.setAll(sets, e -> new HashSet<>());
memo = new Boolean[size + 1][1 << n];
dfs(0, 0);
int[] ans = new int[n];
Arrays.fill(ans, -1);
for (int i = 0; i < size; i++) {
for (int j : src.get(i)) {
if (sets[i].size() == 1) {
int f = sets[i].iterator().next();
ans[j] = uf.inc[j] + f + 1;
}
}
}
for (int x : ans) {
out.print(x + " ");
}
out.println();
}
static boolean dfs(int i, int s) {
if (i == shapes.size()) {
return s == (1 << n) - 1;
}
if (memo[i][s] != null) {
return memo[i][s];
}
int shape = shapes.get(i);
boolean res = false;
for (int j = 0; j < n; j++) {
int next = shape << j;
if (next >= (1 << n) || (next & s) != 0) {
continue;
}
if (dfs(i + 1, s | next)) {
sets[i].add(j);
res = true;
}
}
return memo[i][s] = res;
}
static Boolean[][] memo;
static Set<Integer>[] sets;
static List<Integer> shapes = new ArrayList<>();
static List<List<Integer>> src = new ArrayList<>();
static UnionFind uf;
static int n;
static class UnionFind {
int[] parent;
int[] inc;
UnionFind(int n) {
parent = new int[n];
Arrays.setAll(parent, i -> i);
inc = new int[n];
}
int find(int x) {
if (parent[x] != x) {
int fx = find(parent[x]);
inc[x] += inc[parent[x]];
parent[x] = fx;
}
return parent[x];
}
void union(int x, int y, int dis) {
int fx = find(x), fy = find(y);
if (fx == fy) {
return;
}
int d = dis - inc[x] + inc[y];
if (d < 0) {
union(y, x, -dis);
return;
}
inc[fx] = dis - inc[x] + inc[y];
parent[fx] = fy;
}
}
}
class Reader {
private BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
private StringTokenizer st;
boolean hasNext() {
try {
while (st == null || !st.hasMoreElements()) {
st = new StringTokenizer(br.readLine());
}
} catch (Exception e) {
return false;
}
return true;
}
String next() {
try {
while (st == null || !st.hasMoreElements()) {
st = new StringTokenizer(br.readLine());
}
} catch (Exception ignored) {
}
return st.nextToken();
}
int nextInt() {
return Integer.parseInt(next());
}
int[] nextIntArray(int n) {
int[] arr = new int[n];
for (int i = 0; i < n; i++) {
arr[i] = nextInt();
}
return arr;
}
long nextLong() {
return java.lang.Long.parseLong(next());
}
long[] nextLongArray(int n) {
long[] arr = new long[n];
for (int i = 0; i < n; i++) {
arr[i] = nextLong();
}
return arr;
}
String nextLine() {
String s = "";
try {
s = br.readLine();
} catch (Exception ignored) {
}
return s;
}
}
|
ConDefects/ConDefects/Code/abc352_f/Java/54482860
|
condefects-java_data_1858
|
import java.util.*;
import java.io.*;
public class Main
{
public static void main(String[] args)
{
Scanner sc = new Scanner(System.in);
String S = sc.next();
String T = sc.next();
if(T.startsWith(S))
{
System.out.println("Yes");
}
else
{
System.out.println("NO");
}
}
}
import java.util.*;
import java.io.*;
public class Main
{
public static void main(String[] args)
{
Scanner sc = new Scanner(System.in);
String S = sc.next();
String T = sc.next();
if(T.startsWith(S))
{
System.out.println("Yes");
}
else
{
System.out.println("No");
}
}
}
|
ConDefects/ConDefects/Code/abc268_b/Java/45298199
|
condefects-java_data_1859
|
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
String S = sc.next();
String T = sc.next();
if(S.indexOf(T) == 0) {
System.out.println("Yes");
} else {
System.out.println("No");
}
}
}
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
String S = sc.next();
String T = sc.next();
if(T.indexOf(S) == 0) {
System.out.println("Yes");
} else {
System.out.println("No");
}
}
}
|
ConDefects/ConDefects/Code/abc268_b/Java/37436949
|
condefects-java_data_1860
|
import java.util.Scanner;
public class Main{
public static void main(String []args) {
Scanner sc = new Scanner(System.in);
String s = sc.next();
String t = sc.next();
if (t.contains(s)) {
System.out.println("Yes");
}
else {
System.out.println("No");
}
}
}
import java.util.Scanner;
public class Main{
public static void main(String []args) {
Scanner sc = new Scanner(System.in);
String s = sc.next();
String t = sc.next();
if (t.startsWith(s)) {
System.out.println("Yes");
}
else {
System.out.println("No");
}
}
}
|
ConDefects/ConDefects/Code/abc268_b/Java/40917732
|
condefects-java_data_1861
|
import java.util.*;
import java.io.*;
public class Main {
public static void main(String[] args) throws IOException {
BufferedReader f = new BufferedReader(new InputStreamReader(System.in));
PrintWriter out = new PrintWriter(System.out);
StringTokenizer st = new StringTokenizer(f.readLine());
int n = Integer.parseInt(st.nextToken());
int m = Integer.parseInt(st.nextToken());
ArrayList<ArrayList<Integer>> arr = new ArrayList<>();
HashSet<String> edge = new HashSet<>();
for (int i = 0; i < n; i++) {
arr.add(new ArrayList<>());
}
for (int i = 0; i < m; i++) {
st = new StringTokenizer(f.readLine());
int x = Integer.parseInt(st.nextToken()) - 1;
int y = Integer.parseInt(st.nextToken()) - 1;
arr.get(x).add(y);
edge.add(x + " " + y);
}
int ans = 0;
for (int i = 0; i < n; i++) {
boolean[] visited = new boolean[n];
Queue<Integer> q = new LinkedList<>();
q.add(i);
visited[i] = true;
while (!q.isEmpty()){
int x = q.poll();
for (int j = 0; j < arr.get(x).size(); j++) {
int y = arr.get(x).get(j);
if (visited[y]) continue;
visited[y] = true;
q.add(y);
ans++;
}
}
}
out.println(ans);
out.close();
f.close();
}
}
import java.util.*;
import java.io.*;
public class Main {
public static void main(String[] args) throws IOException {
BufferedReader f = new BufferedReader(new InputStreamReader(System.in));
PrintWriter out = new PrintWriter(System.out);
StringTokenizer st = new StringTokenizer(f.readLine());
int n = Integer.parseInt(st.nextToken());
int m = Integer.parseInt(st.nextToken());
ArrayList<ArrayList<Integer>> arr = new ArrayList<>();
HashSet<String> edge = new HashSet<>();
for (int i = 0; i < n; i++) {
arr.add(new ArrayList<>());
}
for (int i = 0; i < m; i++) {
st = new StringTokenizer(f.readLine());
int x = Integer.parseInt(st.nextToken()) - 1;
int y = Integer.parseInt(st.nextToken()) - 1;
arr.get(x).add(y);
edge.add(x + " " + y);
}
int ans = 0;
for (int i = 0; i < n; i++) {
boolean[] visited = new boolean[n];
Queue<Integer> q = new LinkedList<>();
q.add(i);
visited[i] = true;
while (!q.isEmpty()){
int x = q.poll();
for (int j = 0; j < arr.get(x).size(); j++) {
int y = arr.get(x).get(j);
if (visited[y]) continue;
visited[y] = true;
q.add(y);
ans++;
}
}
}
out.println(ans - m);
out.close();
f.close();
}
}
|
ConDefects/ConDefects/Code/abc292_e/Java/39500919
|
condefects-java_data_1862
|
import java.util.*;
class Main {
public static void main(String[] args){
Scanner scanner = new Scanner(System.in);
int q=scanner.nextInt();
NavigableMap<Integer,Integer> s =new TreeMap<>();
for(int i=0;i<q;i++){
int t=scanner.nextInt();
if(t==1){
int x=scanner.nextInt();
if(s.containsKey(x)){
s.put(x,s.get(x)+1);
} else{
s.put(x,1);
}
} else if(t==2){
int x=scanner.nextInt();
int c=scanner.nextInt();
if(s.containsKey(x)){
if(s.get(x)<c){
s.remove(x);
} else{
s.put(x,s.get(x)-c);
}
}
} else{
int maxnum=s.lastEntry().getKey();
int minnum=s.firstEntry().getKey();
System.out.println(maxnum-minnum);
}
}
}
}
import java.util.*;
class Main {
public static void main(String[] args){
Scanner scanner = new Scanner(System.in);
int q=scanner.nextInt();
NavigableMap<Integer,Integer> s =new TreeMap<>();
for(int i=0;i<q;i++){
int t=scanner.nextInt();
if(t==1){
int x=scanner.nextInt();
if(s.containsKey(x)){
s.put(x,s.get(x)+1);
} else{
s.put(x,1);
}
} else if(t==2){
int x=scanner.nextInt();
int c=scanner.nextInt();
if(s.containsKey(x)){
if(s.get(x)<=c){
s.remove(x);
} else{
s.put(x,s.get(x)-c);
}
}
} else{
int maxnum=s.lastEntry().getKey();
int minnum=s.firstEntry().getKey();
System.out.println(maxnum-minnum);
}
}
}
}
|
ConDefects/ConDefects/Code/abc253_c/Java/42093993
|
condefects-java_data_1863
|
import java.io.BufferedInputStream;
import java.io.IOException;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
import java.util.StringJoiner;
import java.util.function.IntUnaryOperator;
import java.util.function.LongUnaryOperator;
import java.util.stream.Collectors;
import java.util.stream.IntStream;
public class Main {
static In in = new In();
static Out out = new Out(false, false);
static final long inf = 0x1fffffffffffffffL;
static final int iinf = 0x3fffffff;
static final double eps = 1e-9;
static long mod = 998244353;
List<List<Integer>> edges;
long[] size;
int[] par;
int[] ord;
void solve() {
int n = in.nextInt();
long k = in.nextLong();
edges = in.nextGraph(n, n - 1, false);
size = new long[n];
ord = new int[n];
par = new int[n];
par[0] = -1;
dfs(0, 0);
long sizeSum = 0;
for (int i = 0; i < n; i++) {
sizeSum += size[i];
}
if (k < n || sizeSum < k) {
out.println("No");
return;
}
int[] vs = new int[n];
for (int i : ord) {
if (i != 0) {
vs[i] += vs[par[i]];
}
if (i == 0 || k >= size[i]) {
k -= size[i];
vs[i]++;
}
}
List<List<Integer>> cnt = new ArrayList<>();
for (int i = 0; i <= n; i++) {
cnt.add(new ArrayList<>());
}
for (int i : ord) {
cnt.get(vs[i]).add(i);
}
int cur = 0;
int[] ans = new int[n];
for (int i = 1; i <= n; i++) {
List<Integer> list = cnt.get(i);
int tmp = cur + list.size();
for (int j : list) {
ans[j] = tmp;
tmp--;
}
cur += list.size();
}
out.println(ans);
}
int oid = 0;
void dfs(int node, int parent) {
ord[oid++] = node;
size[node]++;
for (int child : edges.get(node)) {
if (child == parent) continue;
dfs(child, node);
size[node] += size[child];
par[child] = node;
}
}
public static void main(String... args) {
new Main().solve();
out.flush();
}
}
class In {
private final BufferedInputStream reader = new BufferedInputStream(System.in);
private final byte[] buffer = new byte[0x10000];
private int i = 0;
private int length = 0;
public int read() {
if (i == length) {
i = 0;
try {
length = reader.read(buffer);
} catch (IOException ignored) {
}
if (length == -1) {
return 0;
}
}
if (length <= i) {
throw new RuntimeException();
}
return buffer[i++];
}
public String next() {
StringBuilder builder = new StringBuilder();
int b = read();
while (b < '!' || '~' < b) {
b = read();
}
while ('!' <= b && b <= '~') {
builder.appendCodePoint(b);
b = read();
}
return builder.toString();
}
public String nextLine() {
StringBuilder builder = new StringBuilder();
int b = read();
while (b != 0 && b != '\r' && b != '\n') {
builder.appendCodePoint(b);
b = read();
}
if (b == '\r') {
read();
}
return builder.toString();
}
public int nextInt() {
long val = nextLong();
if (val < Integer.MIN_VALUE || Integer.MAX_VALUE < val) {
throw new NumberFormatException();
}
return (int)val;
}
public long nextLong() {
int b = read();
while (b < '!' || '~' < b) {
b = read();
}
boolean neg = false;
if (b == '-') {
neg = true;
b = read();
}
long n = 0;
int c = 0;
while ('0' <= b && b <= '9') {
n = n * 10 + b - '0';
b = read();
c++;
}
if (c == 0 || c >= 2 && n == 0) {
throw new NumberFormatException();
}
return neg ? -n : n;
}
public double nextDouble() {
return Double.parseDouble(next());
}
public char[] nextCharArray() {
return next().toCharArray();
}
public String[] nextStringArray(int n) {
String[] s = new String[n];
for (int i = 0; i < n; i++) {
s[i] = next();
}
return s;
}
public char[][] nextCharMatrix(int n, int m) {
char[][] a = new char[n][m];
for (int i = 0; i < n; i++) {
a[i] = next().toCharArray();
}
return a;
}
public int[] nextIntArray(int n) {
int[] a = new int[n];
for (int i = 0; i < n; i++) {
a[i] = nextInt();
}
return a;
}
public int[] nextIntArray(int n, IntUnaryOperator op) {
int[] a = new int[n];
for (int i = 0; i < n; i++) {
a[i] = op.applyAsInt(nextInt());
}
return a;
}
public int[][] nextIntMatrix(int h, int w) {
int[][] a = new int[h][w];
for (int i = 0; i < h; i++) {
a[i] = nextIntArray(w);
}
return a;
}
public long[] nextLongArray(int n) {
long[] a = new long[n];
for (int i = 0; i < n; i++) {
a[i] = nextLong();
}
return a;
}
public long[] nextLongArray(int n, LongUnaryOperator op) {
long[] a = new long[n];
for (int i = 0; i < n; i++) {
a[i] = op.applyAsLong(nextLong());
}
return a;
}
public long[][] nextLongMatrix(int h, int w) {
long[][] a = new long[h][w];
for (int i = 0; i < h; i++) {
a[i] = nextLongArray(w);
}
return a;
}
public List<List<Integer>> nextGraph(int n, int m, boolean directed) {
List<List<Integer>> res = new ArrayList<>();
for (int i = 0; i < n; i++) {
res.add(new ArrayList<>());
}
for (int i = 0; i < m; i++) {
int u = nextInt() - 1;
int v = nextInt() - 1;
res.get(u).add(v);
if (!directed) {
res.get(v).add(u);
}
}
return res;
}
}
class Out {
private final PrintWriter out = new PrintWriter(System.out);
private final PrintWriter err = new PrintWriter(System.err);
public boolean autoFlush;
public boolean enableDebug;
public Out(boolean autoFlush, boolean enableDebug) {
this.autoFlush = autoFlush;
this.enableDebug = enableDebug;
}
public void debug(Object... args) {
if (!enableDebug) {
return;
}
if (args == null || args.getClass() != Object[].class) {
args = new Object[] {args};
}
err.println(Arrays.stream(args).map(obj -> format(obj, true)).collect(Collectors.joining(" ")));
err.flush();
}
private String format(Object obj, boolean canMultiline) {
if (obj == null) return "null";
Class<?> clazz = obj.getClass();
if (clazz == Double.class) return String.format("%.10f", obj);
if (clazz == int[].class) return Arrays.toString((int[])obj);
if (clazz == long[].class) return Arrays.toString((long[])obj);
if (clazz == char[].class) return String.valueOf((char[])obj);
if (clazz == boolean[].class) return IntStream.range(0, ((boolean[])obj).length).mapToObj(i -> ((boolean[])obj)[i] ? "1" : "0").collect(Collectors.joining());
if (clazz == double[].class) return Arrays.toString(Arrays.stream((double[])obj).mapToObj(a -> format(a, false)).toArray());
if (canMultiline && clazz.isArray() && clazz.componentType().isArray()) return Arrays.stream((Object[])obj).map(a -> format(a, false)).collect(Collectors.joining("\n"));
if (clazz == Object[].class) return Arrays.toString(Arrays.stream((Object[])obj).map(a -> format(a, false)).toArray());
if (clazz.isArray()) return Arrays.toString((Object[])obj);
return String.valueOf(obj);
}
public void println(Object... args) {
if (args == null || args.getClass() != Object[].class) {
args = new Object[] {args};
}
out.println(Arrays.stream(args)
.map(obj -> obj instanceof Double ? String.format("%.10f", obj) : String.valueOf(obj))
.collect(Collectors.joining(" ")));
if (autoFlush) {
out.flush();
}
}
public void println(char a) {
out.println(a);
if (autoFlush) {
out.flush();
}
}
public void println(int a) {
out.println(a);
if (autoFlush) {
out.flush();
}
}
public void println(long a) {
out.println(a);
if (autoFlush) {
out.flush();
}
}
public void println(double a) {
out.println(String.format("%.10f", a));
if (autoFlush) {
out.flush();
}
}
public void println(String s) {
out.println(s);
if (autoFlush) {
out.flush();
}
}
public void println(char[] s) {
out.println(String.valueOf(s));
if (autoFlush) {
out.flush();
}
}
public void println(int[] a) {
StringJoiner joiner = new StringJoiner(" ");
for (int i : a) {
joiner.add(Integer.toString(i));
}
out.println(joiner);
if (autoFlush) {
out.flush();
}
}
public void println(long[] a) {
StringJoiner joiner = new StringJoiner(" ");
for (long i : a) {
joiner.add(Long.toString(i));
}
out.println(joiner);
if (autoFlush) {
out.flush();
}
}
public void flush() {
err.flush();
out.flush();
}
}
import java.io.BufferedInputStream;
import java.io.IOException;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
import java.util.StringJoiner;
import java.util.function.IntUnaryOperator;
import java.util.function.LongUnaryOperator;
import java.util.stream.Collectors;
import java.util.stream.IntStream;
public class Main {
static In in = new In();
static Out out = new Out(false, false);
static final long inf = 0x1fffffffffffffffL;
static final int iinf = 0x3fffffff;
static final double eps = 1e-9;
static long mod = 998244353;
List<List<Integer>> edges;
long[] size;
int[] par;
int[] ord;
void solve() {
int n = in.nextInt();
long k = in.nextLong();
edges = in.nextGraph(n, n - 1, false);
size = new long[n];
ord = new int[n];
par = new int[n];
par[0] = -1;
dfs(0, 0);
long sizeSum = 0;
for (int i = 0; i < n; i++) {
sizeSum += size[i];
}
if (k < n || sizeSum < k) {
out.println("No");
return;
}
int[] vs = new int[n];
for (int i : ord) {
if (i != 0) {
vs[i] += vs[par[i]];
}
if (i == 0 || k >= size[i]) {
k -= size[i];
vs[i]++;
}
}
List<List<Integer>> cnt = new ArrayList<>();
for (int i = 0; i <= n; i++) {
cnt.add(new ArrayList<>());
}
for (int i : ord) {
cnt.get(vs[i]).add(i);
}
int cur = 0;
int[] ans = new int[n];
for (int i = 1; i <= n; i++) {
List<Integer> list = cnt.get(i);
int tmp = cur + list.size();
for (int j : list) {
ans[j] = tmp;
tmp--;
}
cur += list.size();
}
out.println("Yes");
// out.debug(vs, Arrays.stream(vs).sum());
out.println(ans);
}
int oid = 0;
void dfs(int node, int parent) {
ord[oid++] = node;
size[node]++;
for (int child : edges.get(node)) {
if (child == parent) continue;
dfs(child, node);
size[node] += size[child];
par[child] = node;
}
}
public static void main(String... args) {
new Main().solve();
out.flush();
}
}
class In {
private final BufferedInputStream reader = new BufferedInputStream(System.in);
private final byte[] buffer = new byte[0x10000];
private int i = 0;
private int length = 0;
public int read() {
if (i == length) {
i = 0;
try {
length = reader.read(buffer);
} catch (IOException ignored) {
}
if (length == -1) {
return 0;
}
}
if (length <= i) {
throw new RuntimeException();
}
return buffer[i++];
}
public String next() {
StringBuilder builder = new StringBuilder();
int b = read();
while (b < '!' || '~' < b) {
b = read();
}
while ('!' <= b && b <= '~') {
builder.appendCodePoint(b);
b = read();
}
return builder.toString();
}
public String nextLine() {
StringBuilder builder = new StringBuilder();
int b = read();
while (b != 0 && b != '\r' && b != '\n') {
builder.appendCodePoint(b);
b = read();
}
if (b == '\r') {
read();
}
return builder.toString();
}
public int nextInt() {
long val = nextLong();
if (val < Integer.MIN_VALUE || Integer.MAX_VALUE < val) {
throw new NumberFormatException();
}
return (int)val;
}
public long nextLong() {
int b = read();
while (b < '!' || '~' < b) {
b = read();
}
boolean neg = false;
if (b == '-') {
neg = true;
b = read();
}
long n = 0;
int c = 0;
while ('0' <= b && b <= '9') {
n = n * 10 + b - '0';
b = read();
c++;
}
if (c == 0 || c >= 2 && n == 0) {
throw new NumberFormatException();
}
return neg ? -n : n;
}
public double nextDouble() {
return Double.parseDouble(next());
}
public char[] nextCharArray() {
return next().toCharArray();
}
public String[] nextStringArray(int n) {
String[] s = new String[n];
for (int i = 0; i < n; i++) {
s[i] = next();
}
return s;
}
public char[][] nextCharMatrix(int n, int m) {
char[][] a = new char[n][m];
for (int i = 0; i < n; i++) {
a[i] = next().toCharArray();
}
return a;
}
public int[] nextIntArray(int n) {
int[] a = new int[n];
for (int i = 0; i < n; i++) {
a[i] = nextInt();
}
return a;
}
public int[] nextIntArray(int n, IntUnaryOperator op) {
int[] a = new int[n];
for (int i = 0; i < n; i++) {
a[i] = op.applyAsInt(nextInt());
}
return a;
}
public int[][] nextIntMatrix(int h, int w) {
int[][] a = new int[h][w];
for (int i = 0; i < h; i++) {
a[i] = nextIntArray(w);
}
return a;
}
public long[] nextLongArray(int n) {
long[] a = new long[n];
for (int i = 0; i < n; i++) {
a[i] = nextLong();
}
return a;
}
public long[] nextLongArray(int n, LongUnaryOperator op) {
long[] a = new long[n];
for (int i = 0; i < n; i++) {
a[i] = op.applyAsLong(nextLong());
}
return a;
}
public long[][] nextLongMatrix(int h, int w) {
long[][] a = new long[h][w];
for (int i = 0; i < h; i++) {
a[i] = nextLongArray(w);
}
return a;
}
public List<List<Integer>> nextGraph(int n, int m, boolean directed) {
List<List<Integer>> res = new ArrayList<>();
for (int i = 0; i < n; i++) {
res.add(new ArrayList<>());
}
for (int i = 0; i < m; i++) {
int u = nextInt() - 1;
int v = nextInt() - 1;
res.get(u).add(v);
if (!directed) {
res.get(v).add(u);
}
}
return res;
}
}
class Out {
private final PrintWriter out = new PrintWriter(System.out);
private final PrintWriter err = new PrintWriter(System.err);
public boolean autoFlush;
public boolean enableDebug;
public Out(boolean autoFlush, boolean enableDebug) {
this.autoFlush = autoFlush;
this.enableDebug = enableDebug;
}
public void debug(Object... args) {
if (!enableDebug) {
return;
}
if (args == null || args.getClass() != Object[].class) {
args = new Object[] {args};
}
err.println(Arrays.stream(args).map(obj -> format(obj, true)).collect(Collectors.joining(" ")));
err.flush();
}
private String format(Object obj, boolean canMultiline) {
if (obj == null) return "null";
Class<?> clazz = obj.getClass();
if (clazz == Double.class) return String.format("%.10f", obj);
if (clazz == int[].class) return Arrays.toString((int[])obj);
if (clazz == long[].class) return Arrays.toString((long[])obj);
if (clazz == char[].class) return String.valueOf((char[])obj);
if (clazz == boolean[].class) return IntStream.range(0, ((boolean[])obj).length).mapToObj(i -> ((boolean[])obj)[i] ? "1" : "0").collect(Collectors.joining());
if (clazz == double[].class) return Arrays.toString(Arrays.stream((double[])obj).mapToObj(a -> format(a, false)).toArray());
if (canMultiline && clazz.isArray() && clazz.componentType().isArray()) return Arrays.stream((Object[])obj).map(a -> format(a, false)).collect(Collectors.joining("\n"));
if (clazz == Object[].class) return Arrays.toString(Arrays.stream((Object[])obj).map(a -> format(a, false)).toArray());
if (clazz.isArray()) return Arrays.toString((Object[])obj);
return String.valueOf(obj);
}
public void println(Object... args) {
if (args == null || args.getClass() != Object[].class) {
args = new Object[] {args};
}
out.println(Arrays.stream(args)
.map(obj -> obj instanceof Double ? String.format("%.10f", obj) : String.valueOf(obj))
.collect(Collectors.joining(" ")));
if (autoFlush) {
out.flush();
}
}
public void println(char a) {
out.println(a);
if (autoFlush) {
out.flush();
}
}
public void println(int a) {
out.println(a);
if (autoFlush) {
out.flush();
}
}
public void println(long a) {
out.println(a);
if (autoFlush) {
out.flush();
}
}
public void println(double a) {
out.println(String.format("%.10f", a));
if (autoFlush) {
out.flush();
}
}
public void println(String s) {
out.println(s);
if (autoFlush) {
out.flush();
}
}
public void println(char[] s) {
out.println(String.valueOf(s));
if (autoFlush) {
out.flush();
}
}
public void println(int[] a) {
StringJoiner joiner = new StringJoiner(" ");
for (int i : a) {
joiner.add(Integer.toString(i));
}
out.println(joiner);
if (autoFlush) {
out.flush();
}
}
public void println(long[] a) {
StringJoiner joiner = new StringJoiner(" ");
for (long i : a) {
joiner.add(Long.toString(i));
}
out.println(joiner);
if (autoFlush) {
out.flush();
}
}
public void flush() {
err.flush();
out.flush();
}
}
|
ConDefects/ConDefects/Code/arc175_d/Java/51654638
|
condefects-java_data_1864
|
import java.util.*;
import java.io.*;
import java.math.*;
import java.util.function.*;
public class Main implements Runnable {
static boolean DEBUG;
public static void main(String[] args) {
DEBUG = args.length > 0 && args[0].equals("-DEBUG");
Thread.setDefaultUncaughtExceptionHandler((t, e) -> { e.printStackTrace(); System.exit(1); });
new Thread(null, new Main(), "", 1 << 31).start();
}
public void run() { Solver solver = new Solver(); solver.solve(); solver.exit(); }
static class FastScanner {
private final InputStream in = System.in;
private final byte[] buffer = new byte[1024];
private int pointer = 0;
private int buflen = 0;
private boolean hasNextByte() {
if(pointer < buflen) return true;
else {
pointer = 0;
try { buflen = in.read(buffer);
}catch (IOException e) { e.printStackTrace(); }
return buflen > 0;
}
}
private int readByte() { if(hasNextByte()) return buffer[pointer ++]; else return -1; }
private boolean isPrintableChar(int c) { return isPrintableChar(c, false); }
private boolean isPrintableChar(int c, boolean includingSpace) { return (includingSpace ? 32 : 33) <= c && c <= 126; }
private void skipUnprintable() { skipUnprintable(false); }
private void skipUnprintable(boolean includingSpace) { while(hasNextByte() && !isPrintableChar(buffer[pointer], includingSpace)) pointer ++; }
private boolean hasNext() { return hasNext(false); }
private boolean hasNext(boolean includingSpace) { skipUnprintable(includingSpace); return hasNextByte(); }
private StringBuilder sb = new StringBuilder();
public String next() { return next(false); }
public String next(boolean includingSpace) {
if(!hasNext(includingSpace)) throw new NoSuchElementException();
sb.setLength(0);
int b = readByte();
while(isPrintableChar(b, includingSpace)) { sb.appendCodePoint(b); b = readByte(); }
return sb.toString();
}
public long nextLong() {
if(!hasNext()) throw new NoSuchElementException();
long n = 0;
boolean minus = false;
int b = readByte();
if(b == '-') { minus = true; b = readByte(); }
if(b < '0' || '9' < b) throw new NumberFormatException();
while(true) {
if('0' <= b && b <= '9') n = n * 10 + b - '0';
else if(b == -1 || !isPrintableChar(b)) return minus ? - n : n;
else throw new NumberFormatException();
b = readByte();
}
}
}
static class Solver {
final FastScanner sc = new FastScanner();
public Solver() { }
final String ns() { return ns(false); }
final String ns(boolean includingSpace) { return sc.next(includingSpace); }
final String[] ns(int n) { return ns(n, false); }
final String[] ns(int n, boolean includingSpace) { String a[] = new String[n]; for(int i = 0; i < n; i ++) a[i] = ns(includingSpace); return a; }
final String[][] ns(int n, int m) { return ns(n, m, false); }
final String[][] ns(int n, int m, boolean includingSpace) { String a[][] = new String[n][m]; for(int i = 0; i < n; i ++) a[i] = ns(m, includingSpace); return a; }
final char nc() { return ns().charAt(0); }
final char[] nc(int n) {
String str = ns();
if(n < 0) n = str.length();
char a[] = new char[n];
for(int i = 0; i < n; i ++) a[i] = str.charAt(i);
return a;
}
final char[][] nc(int n, int m) { char a[][] = new char[n][m]; for(int i = 0; i < n; i ++) a[i] = nc(m); return a; }
final boolean[] nb(int n, char t) {
char c[] = nc(-1);
if(n < 0) n = c.length;
boolean a[] = new boolean[n];
for(int i = 0; i < n; i ++) a[i] = c[i] == t;
return a;
}
final boolean[][] nb(int n, int m, char t) { boolean a[][] = new boolean[n][m]; for(int i = 0; i < n; i ++) a[i] = nb(m, t); return a; }
final int ni() { return Math.toIntExact(sc.nextLong()); }
final int[] ni(int n) { int a[] = new int[n]; for(int i = 0; i < n; i ++) a[i] = ni(); return a; }
final int[][] ni(int n, int m) { int a[][] = new int[n][m]; for(int i = 0; i < n; i ++) a[i] = ni(m); return a; }
final long nl() { return sc.nextLong(); }
final long[] nl(int n) { long a[] = new long[n]; for(int i = 0; i < n; i ++) a[i] = nl(); return a; }
final long[][] nl(int n, int m) { long a[][] = new long[n][m]; for(int i = 0; i < n; i ++) a[i] = nl(m); return a; }
final double nd() { return Double.parseDouble(sc.next()); }
final double[] nd(int n) { double a[] = new double[n]; for(int i = 0; i < n; i ++) a[i] = nd(); return a; }
final double[][] nd(int n, int m) { double a[][] = new double[n][m]; for(int i = 0; i < n; i ++) a[i] = nd(m); return a; }
final String booleanToString(boolean b) { return b ? "#" : "."; }
final PrintWriter out = new PrintWriter(System.out);
final PrintWriter err = new PrintWriter(System.err);
final StringBuilder sb4prtln = new StringBuilder();
final void prt() { out.print(""); }
final <T> void prt(T a) { out.print(a); }
final void prtln() { out.println(""); }
final <T> void prtln(T a) { out.println(a); }
final void prtln(int... a) { sb4prtln.setLength(0); for(int ele : a) { sb4prtln.append(ele); sb4prtln.append(" "); } sb4prtln.deleteCharAt(sb4prtln.length() - 1); prtln(sb4prtln); }
final void prtln(long... a) { sb4prtln.setLength(0); for(long ele : a) { sb4prtln.append(ele); sb4prtln.append(" "); } sb4prtln.deleteCharAt(sb4prtln.length() - 1); prtln(sb4prtln); }
final void prtln(double... a) { sb4prtln.setLength(0); for(double ele : a) { sb4prtln.append(ele); sb4prtln.append(" "); } sb4prtln.deleteCharAt(sb4prtln.length() - 1); prtln(sb4prtln); }
final void prtln(String... a) { sb4prtln.setLength(0); for(String ele : a) { sb4prtln.append(ele); sb4prtln.append(" "); } sb4prtln.deleteCharAt(sb4prtln.length() - 1); prtln(sb4prtln); }
final void prtln(char... a) { sb4prtln.setLength(0); for(char ele : a) sb4prtln.append(ele); prtln(sb4prtln); }
final void prtln(boolean... a) { sb4prtln.setLength(0); for(boolean ele : a) sb4prtln.append(booleanToString(ele)); prtln(sb4prtln); }
final void prtlns(int... a) { sb4prtln.setLength(0); for(int ele : a) { sb4prtln.append(ele); sb4prtln.append("\n"); } prt(sb4prtln); }
final void prtlns(long... a) { sb4prtln.setLength(0); for(long ele : a) { sb4prtln.append(ele); sb4prtln.append("\n"); } prt(sb4prtln); }
final void prtlns(double... a) { sb4prtln.setLength(0); for(double ele : a) { sb4prtln.append(ele); sb4prtln.append("\n"); } prt(sb4prtln); }
final void prtlns(String... a) { sb4prtln.setLength(0); for(String ele : a) { sb4prtln.append(ele); sb4prtln.append("\n"); } prt(sb4prtln); }
final void prtlns(char... a) { sb4prtln.setLength(0); for(char ele : a) { sb4prtln.append(ele); sb4prtln.append("\n"); } prt(sb4prtln); }
final void prtlns(boolean... a) { sb4prtln.setLength(0); for(boolean ele : a) { sb4prtln.append(booleanToString(ele)); sb4prtln.append("\n"); } prt(sb4prtln); }
final void prtln(int[][] a) { for(int[] ele : a) prtln(ele); }
final void prtln(long[][] a) { for(long[] ele : a) prtln(ele); }
final void prtln(double[][] a) { for(double[] ele : a) prtln(ele); }
final void prtln(String[][] a) { for(String[] ele : a) prtln(ele); }
final void prtln(char[][] a) { for(char[] ele : a) prtln(ele); }
final void prtln(boolean[][] a) { for(boolean[] ele : a) prtln(ele); }
final String errconvert(int a) { return isINF(a) ? "_" : String.valueOf(a); }
final String errconvert(long a) { return isINF(a) ? "_" : String.valueOf(a); }
final void errprt(int a) { if(DEBUG) err.print(errconvert(a)); }
final void errprt(long a) { if(DEBUG) err.print(errconvert(a)); }
final void errprt() { if(DEBUG) err.print(""); }
final <T> void errprt(T a) { if(DEBUG) err.print(a); }
final void errprt(boolean a) { if(DEBUG) errprt(booleanToString(a)); }
final void errprtln() { if(DEBUG) err.println(""); }
final void errprtln(int a) { if(DEBUG) err.println(errconvert(a)); }
final void errprtln(long a) { if(DEBUG) err.println(errconvert(a)); }
final <T> void errprtln(T a) { if(DEBUG) err.println(a); }
final void errprtln(boolean a) { if(DEBUG) errprtln(booleanToString(a)); }
final void errprtln(int... a) { if(DEBUG) { sb4prtln.setLength(0); for(int ele : a) { sb4prtln.append(errconvert(ele)); sb4prtln.append(" "); } errprtln(sb4prtln.toString().trim()); } }
final void errprtln(long... a) { if(DEBUG) { sb4prtln.setLength(0); for(long ele : a) { sb4prtln.append(errconvert(ele)); sb4prtln.append(" "); } errprtln(sb4prtln.toString().trim()); } }
final void errprtln(double... a) { if(DEBUG) { sb4prtln.setLength(0); for(double ele : a) { sb4prtln.append(ele); sb4prtln.append(" "); } errprtln(sb4prtln.toString().trim()); } }
final void errprtln(String... a) { if(DEBUG) { sb4prtln.setLength(0); for(String ele : a) { sb4prtln.append(ele); sb4prtln.append(" "); } errprtln(sb4prtln.toString().trim()); } }
final void errprtln(char... a) { if(DEBUG) { sb4prtln.setLength(0); for(char ele : a) sb4prtln.append(ele); errprtln(sb4prtln.toString()); } }
final void errprtln(boolean... a) { if(DEBUG) { sb4prtln.setLength(0); for(boolean ele : a) sb4prtln.append(booleanToString(ele)); errprtln(sb4prtln.toString()); } }
final void errprtlns(int... a) { if(DEBUG) { sb4prtln.setLength(0); for(int ele : a) { sb4prtln.append(errconvert(ele)); sb4prtln.append("\n"); } errprt(sb4prtln.toString()); } }
final void errprtlns(long... a) { if(DEBUG) { sb4prtln.setLength(0); for(long ele : a) { sb4prtln.append(errconvert(ele)); sb4prtln.append("\n"); } errprt(sb4prtln.toString()); } }
final void errprtlns(double... a) { if(DEBUG) { sb4prtln.setLength(0); for(double ele : a) { sb4prtln.append(ele); sb4prtln.append("\n"); } errprt(sb4prtln.toString()); } }
final void errprtlns(String... a) { if(DEBUG) { sb4prtln.setLength(0); for(String ele : a) { sb4prtln.append(ele); sb4prtln.append("\n"); } errprt(sb4prtln.toString()); } }
final void errprtlns(char... a) { if(DEBUG) { sb4prtln.setLength(0); for(char ele : a) { sb4prtln.append(ele); sb4prtln.append("\n"); } errprt(sb4prtln.toString()); } }
final void errprtlns(boolean... a) { if(DEBUG) { sb4prtln.setLength(0); for(boolean ele : a) { sb4prtln.append(booleanToString(ele)); sb4prtln.append("\n"); } errprt(sb4prtln.toString()); } }
final void errprtln(Object[] a) { if(DEBUG) for(Object ele : a) errprtln(ele); }
final void errprtln(int[][] a) { if(DEBUG) for(int[] ele : a) errprtln(ele); }
final void errprtln(long[][] a) { if(DEBUG) for(long[] ele : a) errprtln(ele); }
final void errprtln(double[][] a) { if(DEBUG) for(double[] ele : a) errprtln(ele); }
final void errprtln(String[][] a) { if(DEBUG) for(String[] ele : a) errprtln(ele); }
final void errprtln(char[][] a) { if(DEBUG) for(char[] ele : a) errprtln(ele); }
final void errprtln(boolean[][] a) { if(DEBUG) for(boolean[] ele : a) errprtln(ele); }
final void errprtln(Object[][] a) { if(DEBUG) for(Object ele : a) { errprtln(ele); errprtln(); } }
final void reply(boolean b) { prtln(b ? "Yes" : "No"); }
final void REPLY(boolean b) { prtln(b ? "YES" : "NO"); }
final void flush() { out.flush(); if(DEBUG) err.flush(); }
final void assertion(boolean b) { if(!b) { flush(); throw new AssertionError(); } }
final <T> void assertion(boolean b, T a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, int... a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, long... a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, double... a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, String... a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, char... a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, boolean... a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, int[][] a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, long[][] a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, double[][] a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, String[][] a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, char[][] a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, boolean[][] a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void inclusiveRangeCheck(int i, int max) { inclusiveRangeCheck(i, 0, max); }
final void inclusiveRangeCheck(int i, int min, int max) { rangeCheck(i, min, max + 1); }
final void inclusiveRangeCheck(long i, long max) { inclusiveRangeCheck(i, 0, max); }
final void inclusiveRangeCheck(long i, long min, long max) { rangeCheck(i, min, max + 1); }
final void rangeCheck(int i, int max) { rangeCheck(i, 0, max); }
final void rangeCheck(int i, int min, int max) { if(i < min || i >= max) throw new IndexOutOfBoundsException(String.format("Index %d out of bounds for length %d", i, max)); }
final void rangeCheck(long i, long max) { rangeCheck(i, 0, max); }
final void rangeCheck(long i, long min, long max) { if(i < min || i >= max) throw new IndexOutOfBoundsException(String.format("Index %d out of bounds for length %d", i, max)); }
final void nonNegativeCheck(long x) { nonNegativeCheck(x, "the argument"); }
final void nonNegativeCheck(long x, String attribute) { if(x < 0) throw new IllegalArgumentException(String.format("%s %d is negative", attribute, x)); }
final void positiveCheck(long x) { positiveCheck(x, "the argument"); }
final void positiveCheck(long x, String attribute) { if(x <= 0) throw new IllegalArgumentException(String.format("%s %d is negative", attribute, x)); }
final void exit() { flush(); System.exit(0); }
final <T> void exit(T a) { prtln(a); exit(); }
final void exit(int... a) { prtln(a); exit(); }
final void exit(long... a) { prtln(a); exit(); }
final void exit(double... a) { prtln(a); exit(); }
final void exit(String... a) { prtln(a); exit(); }
final void exit(char... a) { prtln(a); exit(); }
final void exit(boolean... a) { prtln(a); exit(); }
final void exit(int[][] a) { prtln(a); exit(); }
final void exit(long[][] a) { prtln(a); exit(); }
final void exit(double[][] a) { prtln(a); exit(); }
final void exit(String[][] a) { prtln(a); exit(); }
final void exit(char[][] a) { prtln(a); exit(); }
final void exit(boolean[][] a) { prtln(a); exit(); }
final long INF = (long)1e18 + 7;
final boolean isPlusINF(long a) { return a > INF / 10; }
final boolean isMinusINF(long a) { return isPlusINF(- a); }
final boolean isINF(long a) { return isPlusINF(a) || isMinusINF(a); }
final int I_INF = (int)1e9 + 7;
final boolean isPlusINF(int a) { return a > I_INF / 10; }
final boolean isMinusINF(int a) { return isPlusINF(- a); }
final boolean isINF(int a) { return isPlusINF(a) || isMinusINF(a); }
final int min(int a, int b) { return Math.min(a, b); }
final long min(long a, long b) { return Math.min(a, b); }
final double min(double a, double b) { return Math.min(a, b); }
final <T extends Comparable<T>> T min(T a, T b) { return a.compareTo(b) <= 0 ? a : b; }
final int min(int... x) { int min = x[0]; for(int val : x) min = min(min, val); return min; }
final long min(long... x) { long min = x[0]; for(long val : x) min = min(min, val); return min; }
final double min(double... x) { double min = x[0]; for(double val : x) min = min(min, val); return min; }
final int max(int a, int b) { return Math.max(a, b); }
final long max(long a, long b) { return Math.max(a, b); }
final double max(double a, double b) { return Math.max(a, b); }
final <T extends Comparable<T>> T max(T a, T b) { return a.compareTo(b) >= 0 ? a : b; }
final int max(int... x) { int max = x[0]; for(int val : x) max = max(max, val); return max; }
final long max(long... x) { long max = x[0]; for(long val : x) max = max(max, val); return max; }
final double max(double... x) { double max = x[0]; for(double val : x) max = max(max, val); return max; }
final <T extends Comparable<T>> T max(T[] x) { T max = x[0]; for(T val : x) max = max(max, val); return max; }
final int max(int[][] a) { int max = a[0][0]; for(int[] ele : a) max = max(max, max(ele)); return max; }
final long max(long[][] a) { long max = a[0][0]; for(long[] ele : a) max = max(max, max(ele)); return max; }
final double max(double[][] a) { double max = a[0][0]; for(double[] ele : a) max = max(max, max(ele)); return max; }
final <T extends Comparable<T>> T max(T[][] a) { T max = a[0][0]; for(T[] ele : a) max = max(max, max(ele)); return max; }
final long sum(int... a) { long sum = 0; for(int ele : a) sum += ele; return sum; }
final long sum(long... a) { long sum = 0; for(long ele : a) sum += ele; return sum; }
final double sum(double... a) { double sum = 0; for(double ele : a) sum += ele; return sum; }
final long sum(boolean... a) { long sum = 0; for(boolean ele : a) sum += ele ? 1 : 0; return sum; }
final long[] sums(int[] a) { long sum[] = new long[a.length + 1]; sum[0] = 0; for(int i = 0; i < a.length; i ++) sum[i + 1] = sum[i] + a[i]; return sum; }
final long[] sums(long[] a) { long sum[] = new long[a.length + 1]; sum[0] = 0; for(int i = 0; i < a.length; i ++) sum[i + 1] = sum[i] + a[i]; return sum; }
final double[] sums(double[] a) { double sum[] = new double[a.length + 1]; sum[0] = 0; for(int i = 0; i < a.length; i ++) sum[i + 1] = sum[i] + a[i]; return sum; }
final long[] sums(boolean[] a) { long sum[] = new long[a.length + 1]; sum[0] = 0; for(int i = 0; i < a.length; i ++) sum[i + 1] = sum[i] + (a[i] ? 1 : 0); return sum; }
final long[][] sums(int[][] a) {
long sum[][] = new long[a.length + 1][a[0].length + 1];
for(int i = 0; i < a.length; i ++) {
for(int j = 0; j < a[i].length; j ++) sum[i + 1][j + 1] = sum[i + 1][j] + sum[i][j + 1] - sum[i][j] + a[i][j];
}
return sum;
}
final long[][] sums(long[][] a) {
long sum[][] = new long[a.length + 1][a[0].length + 1];
for(int i = 0; i < a.length; i ++) {
for(int j = 0; j < a[i].length; j ++) sum[i + 1][j + 1] = sum[i + 1][j] + sum[i][j + 1] - sum[i][j] + a[i][j];
}
return sum;
}
final double[][] sums(double[][] a) {
double sum[][] = new double[a.length + 1][a[0].length + 1];
for(int i = 0; i < a.length; i ++) {
for(int j = 0; j < a[i].length; j ++) sum[i + 1][j + 1] = sum[i + 1][j] + sum[i][j + 1] - sum[i][j] + a[i][j];
}
return sum;
}
final long[][] sums(boolean[][] a) {
long sum[][] = new long[a.length + 1][a[0].length + 1];
for(int i = 0; i < a.length; i ++) {
for(int j = 0; j < a[i].length; j ++) sum[i + 1][j + 1] = sum[i + 1][j] + sum[i][j + 1] - sum[i][j] + (a[i][j] ? 1 : 0);
}
return sum;
}
final int constrain(int x, int l, int r) { return min(max(x, min(l, r)), max(l, r)); }
final long constrain(long x, long l, long r) { return min(max(x, min(l, r)), max(l, r)); }
final double constrain(double x, double l, double r) { return min(max(x, min(l, r)), max(l, r)); }
final int abs(int x) { return x >= 0 ? x : - x; }
final long abs(long x) { return x >= 0 ? x : - x; }
final double abs(double x) { return x >= 0 ? x : - x; }
final int signum(int x) { return x > 0 ? 1 : x < 0 ? -1 : 0; }
final int signum(long x) { return x > 0 ? 1 : x < 0 ? -1 : 0; }
final int signum(double x) { return x > 0 ? 1 : x < 0 ? -1 : 0; }
final long round(double x) { return Math.round(x); }
final long floor(double x) { return round(Math.floor(x)); }
final int divfloor(int a, int b) { return signum(a) == signum(b) ? a / b : - divceil(abs(a), abs(b)); }
final long divfloor(long a, long b) { return signum(a) == signum(b) ? a / b : - divceil(abs(a), abs(b)); }
final long ceil(double x) { return round(Math.ceil(x)); }
final int divceil(int a, int b) { return a >= 0 && b > 0 ? (a + b - 1) / b : a < 0 && b < 0 ? divceil(abs(a), abs(b)) : - divfloor(abs(a), abs(b)); }
final long divceil(long a, long b) { return a >= 0 && b > 0 ? (a + b - 1) / b : a < 0 && b < 0 ? divceil(abs(a), abs(b)) : - divfloor(abs(a), abs(b)); }
final boolean mulGreater(long a, long b, long c) { return b == 0 ? c < 0 : b < 0 ? mulLess(a, - b, - c) : a > divfloor(c, b); } // a * b > c
final boolean mulGreaterEquals(long a, long b, long c) { return b == 0 ? c <= 0 : b < 0 ? mulLessEquals(a, - b, - c) : a >= divceil(c, b); } // a * b >= c
final boolean mulLess(long a, long b, long c) { return !mulGreaterEquals(a, b, c); } // a * b < c
final boolean mulLessEquals(long a, long b, long c) { return !mulGreater(a, b, c); } // a * b <= c
final double sqrt(int x) { return Math.sqrt((double)x); }
final double sqrt(long x) { return Math.sqrt((double)x); }
final double sqrt(double x) { return Math.sqrt(x); }
final int floorsqrt(int x) { int s = (int)floor(sqrt(x)) + 1; while(s * s > x) s --; return s; }
final long floorsqrt(long x) { long s = floor(sqrt(x)) + 1; while(s * s > x) s --; return s; }
final int ceilsqrt(int x) { int s = (int)ceil(sqrt(x)); while(s * s >= x) s --; s ++; return s; }
final long ceilsqrt(long x) { long s = ceil(sqrt(x)); while(s * s >= x) s --; s ++; return s; }
final long fact(int n) { long ans = 1; for(int i = 1; i <= n; i ++) ans = Math.multiplyExact(ans, i); return ans; }
final long naiveP(long n, long r) { long ans = 1; for(int i = 0; i < r; i ++) ans = Math.multiplyExact(ans, n - i); return ans; }
final long naiveC(long n, long r) { long ans = 1; for(int i = 0; i < r; i ++) { ans = Math.multiplyExact(ans, n - i); ans /= (i + 1); } return ans; }
final double pow(double x, double y) { return Math.pow(x, y); }
final long pow(long x, long y) {
long ans = 1;
while(true) {
if((y & 1) != 0) ans = Math.multiplyExact(ans, x);
y >>= 1;
if(y <= 0) return ans;
x = Math.multiplyExact(x, x);
}
}
final double pow(double x, long y) {
double ans = 1;
while(true) {
if((y & 1) != 0) ans *= x;
y >>= 1;
if(y <= 0) return ans;
x *= x;
}
}
final int gcd(int a, int b) { while(true) { if(b == 0) return a; int tmp = a; a = b; b = tmp % b; } }
final long gcd(long a, long b) { while(true) { if(b == 0) return a; long tmp = a; a = b; b = tmp % b; } }
final long lcm(long a, long b) { return a / gcd(a, b) * b; }
final int gcd(int... a) { int gcd = 0; for(int i = 0; i < a.length; i ++) gcd = gcd(gcd, a[i]); return gcd; }
final long gcd(long... a) { long gcd = 0; for(int i = 0; i < a.length; i ++) gcd = gcd(gcd, a[i]); return gcd; }
final double random() { return Math.random(); }
final int random(int max) { return (int)floor(random() * max); }
final long random(long max) { return floor(random() * max); }
final double random(double max) { return random() * max; }
final int random(int min, int max) { return random(max - min) + min; }
final long random(long min, long max) { return random(max - min) + min; }
final double random(double min, double max) { return random(max - min) + min; }
final boolean isUpper(char a) { return a >= 'A' && a <= 'Z'; }
final boolean isLower(char a) { return a >= 'a' && a <= 'z'; }
final int upperToInt(char a) { return a - 'A'; }
final int lowerToInt(char a) { return a - 'a'; }
final int numToInt(char a) { return a - '0'; }
final int charToInt(char a) { return isLower(a) ? lowerToInt(a) : isUpper(a) ? upperToInt(a) : numToInt(a); }
final int alphabetToInt(char a) { return isLower(a) ? lowerToInt(a) : isUpper(a) ? upperToInt(a) + 26 : 52; }
final char intToUpper(int a) { return (char)(a + 'A'); }
final char intToLower(int a) { return (char)(a + 'a'); }
final char intToNum(int a) { return (char)(a + '0'); }
final int[] charToInt(char[] a) { int array[] = new int[a.length]; for(int i = 0; i < a.length; i ++) array[i] = charToInt(a[i]); return array; }
final long[] div(long a) {
nonNegativeCheck(a);
List<Long> divList = new ArrayList<>();
for(long i = 1; i * i <= a; i ++) if(a % i == 0) { divList.add(i); if(i * i != a) divList.add(a / i); }
long div[] = new long[divList.size()];
for(int i = 0; i < divList.size(); i ++) div[i] = divList.get(i);
Arrays.sort(div);
return div;
}
final PairLL[] factor(long a) {
nonNegativeCheck(a);
List<PairLL> factorList = new ArrayList<>();
for(long i = 2; i * i <= a; i ++) {
if(a % i == 0) {
long cnt = 0;
while(a % i == 0) { a /= i; cnt ++; }
factorList.add(new PairLL(i, cnt));
}
}
if(a > 1) factorList.add(new PairLL(a, 1));
PairLL factor[] = new PairLL[factorList.size()];
for(int i = 0; i < factorList.size(); i ++) factor[i] = factorList.get(i);
Arrays.sort(factor);
return factor;
}
final boolean isPrime(long x) { boolean ok = x > 1; for(long i = 2; i * i <= x; i ++) { ok &= x % i != 0; if(!ok) return ok; } return ok; }
final boolean[] prime(int num) {
nonNegativeCheck(num);
boolean prime[] = new boolean[num];
fill(prime, true);
if(num > 0) prime[0] = false;
if(num > 1) prime[1] = false;
for(int i = 2; i < num; i ++) if(prime[i]) for(int j = 2; i * j < num; j ++) prime[i * j] = false;
return prime;
}
final PairIL[] countElements(int[] a, boolean sort) {
int len = a.length;
int array[] = new int[len];
for(int i = 0; i < len; i ++) array[i] = a[i];
if(sort) Arrays.sort(array);
List<PairIL> cntsList = new ArrayList<>();
long tmp = 1;
for(int i = 1; i <= len; i ++) {
if(i == len || array[i] != array[i - 1]) {
cntsList.add(new PairIL(array[i - 1], tmp));
tmp = 1;
}else tmp ++;
}
PairIL cnts[] = new PairIL[cntsList.size()];
for(int i = 0; i < cntsList.size(); i ++) cnts[i] = cntsList.get(i);
return cnts;
}
final PairLL[] countElements(long[] a, boolean sort) {
int len = a.length;
long array[] = new long[len];
for(int i = 0; i < len; i ++) array[i] = a[i];
if(sort) Arrays.sort(array);
List<PairLL> cntsList = new ArrayList<>();
long tmp = 1;
for(int i = 1; i <= len; i ++) {
if(i == len || array[i] != array[i - 1]) {
cntsList.add(new PairLL(array[i - 1], tmp));
tmp = 1;
}else tmp ++;
}
PairLL cnts[] = new PairLL[cntsList.size()];
for(int i = 0; i < cntsList.size(); i ++) cnts[i] = cntsList.get(i);
return cnts;
}
final PairIL[] countElements(String s, boolean sort) {
int len = s.length();
char array[] = s.toCharArray();
if(sort) Arrays.sort(array);
List<PairIL> cntsList = new ArrayList<>();
long tmp = 1;
for(int i = 1; i <= len; i ++) {
if(i == len || array[i] != array[i - 1]) {
cntsList.add(new PairIL((int)array[i - 1], tmp));
tmp = 1;
}else tmp ++;
}
PairIL cnts[] = new PairIL[cntsList.size()];
for(int i = 0; i < cntsList.size(); i ++) cnts[i] = cntsList.get(i);
return cnts;
}
long triangular(long n) { return n * (n + 1) / 2; }
long arctriangularfloor(long m) {
long n = (floor(sqrt(m * 8 + 1)) - 1) / 2 + 1;
while(triangular(n) > m) n --;
return n;
}
long arctriangularceil(long m) {
long n = max(0, (ceil(sqrt(m * 8 + 1)) + 1) / 2 - 1);
while(triangular(n) < m) n ++;
return n;
}
final int[] baseConvert(long x, int n, int len) { nonNegativeCheck(x); nonNegativeCheck(n); nonNegativeCheck(len); int digit[] = new int[len]; int i = 0; long tmp = x; while(tmp > 0 && i < len) { digit[i ++] = (int)(tmp % n); tmp /= n; } return digit; }
final int[] baseConvert(long x, int n) { nonNegativeCheck(x); nonNegativeCheck(n); long tmp = x; int len = 0; while(tmp > 0) { tmp /= n; len ++; } return baseConvert(x, n, len); }
final int[] baseConvert(int x, int n, int len) { nonNegativeCheck(x); nonNegativeCheck(n); nonNegativeCheck(len); int digit[] = new int[len]; int i = 0; int tmp = x; while(tmp > 0 && i < len) { digit[i ++] = (int)(tmp % n); tmp /= n; } return digit; }
final int[] baseConvert(int x, int n) { nonNegativeCheck(x); nonNegativeCheck(n); int tmp = x; int len = 0; while(tmp > 0) { tmp /= n; len ++; } return baseConvert(x, n, len); }
final long[] baseConvert(long x, long n, int len) { nonNegativeCheck(x); nonNegativeCheck(n); nonNegativeCheck(len); long digit[] = new long[len]; int i = 0; long tmp = x; while(tmp > 0 && i < len) { digit[i ++] = tmp % n; tmp /= n; } return digit; }
final long[] baseConvert(long x, long n) { nonNegativeCheck(x); nonNegativeCheck(n); long tmp = x; int len = 0; while(tmp > 0) { tmp /= n; len ++; } return baseConvert(x, n, len); }
final int numDigits(long a) { nonNegativeCheck(a); return Long.toString(a).length(); }
final long bitFlag(int a) { nonNegativeCheck(a); return 1L << (long)a; }
final boolean isFlagged(long x, int a) { nonNegativeCheck(x); nonNegativeCheck(a); return (x & bitFlag(a)) != 0; }
final long countString(String s, String a) { return (s.length() - s.replace(a, "").length()) / a.length(); }
final long countStringAll(String s, String a) { return s.length() - s.replaceAll(a, "").length(); }
final String reverse(String s) { return (new StringBuilder(s)).reverse().toString(); }
final String[] reverse(String[] a) { for(int i = 0; i < a.length / 2; i ++) swap(a, i, a.length - i - 1); return a; }
final int[] reverse(int[] a) { for(int i = 0; i < a.length / 2; i ++) swap(a, i, a.length - i - 1); return a; }
final long[] reverse(long[] a) { for(int i = 0; i < a.length / 2; i ++) swap(a, i, a.length - i - 1); return a; }
final double[] reverse(double[] a) { for(int i = 0; i < a.length / 2; i ++) swap(a, i, a.length - i - 1); return a; }
final char[] reverse(char[] a) { for(int i = 0; i < a.length / 2; i ++) swap(a, i, a.length - i - 1); return a; }
final boolean[] reverse(boolean[] a) { for(int i = 0; i < a.length / 2; i ++) swap(a, i, a.length - i - 1); return a; }
final <T> T[] reverse(T[] a) { for(int i = 0; i < a.length / 2; i ++) swap(a, i, a.length - i - 1); return a; }
final void fill(int[] a, int x) { Arrays.fill(a, x); }
final void fill(long[] a, long x) { Arrays.fill(a, x); }
final void fill(double[] a, double x) { Arrays.fill(a, x); }
final void fill(char[] a, char x) { Arrays.fill(a, x); }
final void fill(boolean[] a, boolean x) { Arrays.fill(a, x); }
final void fill(int[][] a, int x) { for(int[] ele : a) fill(ele, x); }
final void fill(long[][] a, long x) { for(long[] ele : a) fill(ele, x); }
final void fill(double[][] a, double x) { for(double[] ele : a) fill(ele, x); }
final void fill(char[][] a, char x) { for(char[] ele : a) fill(ele, x); }
final void fill(boolean[][] a, boolean x) { for(boolean[] ele : a) fill(ele, x); }
final void fill(int[][][] a, int x) { for(int[][] ele : a) fill(ele, x); }
final void fill(long[][][] a, long x) { for(long[][] ele : a) fill(ele, x); }
final void fill(double[][][] a, double x) { for(double[][] ele : a) fill(ele, x); }
final void fill(char[][][] a, char x) { for(char[][] ele : a) fill(ele, x); }
final void fill(boolean[][][] a, boolean x) { for(boolean[][] ele : a) fill(ele, x); }
final int[] resize(int[] a, int m, int x) { nonNegativeCheck(m); int resized[] = new int[m]; for(int i = max(0, - x); i < a.length && i + x < m; i ++) resized[i + x] = a[i]; return resized; }
final long[] resize(long[] a, int m, int x) { nonNegativeCheck(m); long resized[] = new long[m]; for(int i = max(0, - x); i < a.length && i + x < m; i ++) resized[i + x] = a[i]; return resized; }
final double[] resize(double[] a, int m, int x) { nonNegativeCheck(m); double resized[] = new double[m]; for(int i = max(0, - x); i < a.length && i + x < m; i ++) resized[i + x] = a[i]; return resized; }
final char[] resize(char[] a, int m, int x) { nonNegativeCheck(m); char resized[] = new char[m]; for(int i = max(0, - x); i < a.length && i + x < m; i ++) resized[i + x] = a[i]; return resized; }
final boolean[] resize(boolean[] a, int m, int x) { nonNegativeCheck(m); boolean resized[] = new boolean[m]; for(int i = max(0, - x); i < a.length && i + x < m; i ++) resized[i + x] = a[i]; return resized; }
final Object[] resize(Object[] a, int m, int x) { nonNegativeCheck(m); Object resized[] = new Object[m]; for(int i = max(0, - x); i < a.length && i + x < m; i ++) resized[i + x] = a[i]; return resized; }
final int[] toIntArray(List<Integer> list) { int a[] = new int[list.size()]; int idx = 0; for(int ele : list) a[idx ++] = ele; return a; }
final long[] toLongArray(List<Long> list) { long a[] = new long[list.size()]; int idx = 0; for(long ele : list) a[idx ++] = ele; return a; }
final double[] toDoubleArray(List<Double> list) { double a[] = new double[list.size()]; int idx = 0; for(double ele : list) a[idx ++] = ele; return a; }
final char[] toCharArray(List<Character> list) { char a[] = new char[list.size()]; int idx = 0; for(char ele : list) a[idx ++] = ele; return a; }
final boolean[] toBooleanArray(List<Boolean> list) { boolean a[] = new boolean[list.size()]; int idx = 0; for(boolean ele : list) a[idx ++] = ele; return a; }
final String[] toStringArray(List<String> list) { String a[] = new String[list.size()]; int idx = 0; for(String ele : list) a[idx ++] = ele; return a; }
final <T> void toArray(List<T> list, T a[]) { int idx = 0; for(T ele : list) a[idx ++] = ele; }
final void shuffleArray(int[] a) { for(int i = 0; i < a.length; i ++){ int tmp = a[i]; int idx = random(i, a.length); a[i] = a[idx]; a[idx] = tmp; } }
final void shuffleArray(long[] a) { for(int i = 0; i < a.length; i ++){ long tmp = a[i]; int idx = random(i, a.length); a[i] = a[idx]; a[idx] = tmp; } }
final void shuffleArray(double[] a) { for(int i = 0; i < a.length; i ++){ double tmp = a[i]; int idx = random(i, a.length); a[i] = a[idx]; a[idx] = tmp; } }
final int[] randomi(int n, int max) { nonNegativeCheck(n); int a[] = new int[n]; for(int i = 0; i < n; i ++) a[i] = random(max); return a; }
final long[] randoml(int n, long max) { nonNegativeCheck(n); long a[] = new long[n]; for(int i = 0; i < n; i ++) a[i] = random(max); return a; }
final double[] randomd(int n, double max) { nonNegativeCheck(n); double a[] = new double[n]; for(int i = 0; i < n; i ++) a[i] = random(max); return a; }
final int[] randomi(int n, int min, int max) { nonNegativeCheck(n); int a[] = new int[n]; for(int i = 0; i < n; i ++) a[i] = random(min, max); return a; }
final long[] randoml(int n, long min, long max) { nonNegativeCheck(n); long a[] = new long[n]; for(int i = 0; i < n; i ++) a[i] = random(min, max); return a; }
final double[] randomd(int n, double min, double max) { nonNegativeCheck(n); double a[] = new double[n]; for(int i = 0; i < n; i ++) a[i] = random(min, max); return a; }
final void swap(String[] a, int i, int j) { rangeCheck(i, a.length); rangeCheck(j, a.length); String tmp = a[i]; a[i] = a[j]; a[j] = tmp; }
final void swap(int[] a, int i, int j) { rangeCheck(i, a.length); rangeCheck(j, a.length); int tmp = a[i]; a[i] = a[j]; a[j] = tmp; }
final void swap(long[] a, int i, int j) { rangeCheck(i, a.length); rangeCheck(j, a.length); long tmp = a[i]; a[i] = a[j]; a[j] = tmp; }
final void swap(double[] a, int i, int j) { rangeCheck(i, a.length); rangeCheck(j, a.length); double tmp = a[i]; a[i] = a[j]; a[j] = tmp; }
final void swap(char[] a, int i, int j) { rangeCheck(i, a.length); rangeCheck(j, a.length); char tmp = a[i]; a[i] = a[j]; a[j] = tmp; }
final void swap(boolean[] a, int i, int j) { rangeCheck(i, a.length); rangeCheck(j, a.length); boolean tmp = a[i]; a[i] = a[j]; a[j] = tmp; }
final <T> void swap(T[] a, int i, int j) { rangeCheck(i, a.length); rangeCheck(j, a.length); T tmp = a[i]; a[i] = a[j]; a[j] = tmp; }
final int[][] rotate(int[][] a) {
int[][] ans = new int[a[0].length][a.length];
for(int i = 0; i < a.length; i ++) for(int j = 0; j < a[i].length; j ++) ans[j][a.length - i - 1] = a[i][j];
return ans;
}
final long[][] rotate(long[][] a) {
long[][] ans = new long[a[0].length][a.length];
for(int i = 0; i < a.length; i ++) for(int j = 0; j < a[i].length; j ++) ans[j][a.length - i - 1] = a[i][j];
return ans;
}
final double[][] rotate(double[][] a) {
double[][] ans = new double[a[0].length][a.length];
for(int i = 0; i < a.length; i ++) for(int j = 0; j < a[i].length; j ++) ans[j][a.length - i - 1] = a[i][j];
return ans;
}
final char[][] rotate(char[][] a) {
char[][] ans = new char[a[0].length][a.length];
for(int i = 0; i < a.length; i ++) for(int j = 0; j < a[i].length; j ++) ans[j][a.length - i - 1] = a[i][j];
return ans;
}
final boolean[][] rotate(boolean[][] a) {
boolean[][] ans = new boolean[a[0].length][a.length];
for(int i = 0; i < a.length; i ++) for(int j = 0; j < a[i].length; j ++) ans[j][a.length - i - 1] = a[i][j];
return ans;
}
final Object[][] rotate(Object[][] a) {
Object[][] ans = new Object[a[0].length][a.length];
for(int i = 0; i < a.length; i ++) for(int j = 0; j < a[i].length; j ++) ans[j][a.length - i - 1] = a[i][j];
return ans;
}
final int[] compress(int[] a) {
int n = a.length;
Set<Integer> ts = new TreeSet<>();
for(int i = 0; i < n; i ++) ts.add(a[i]);
int compressed[] = new int[ts.size()];
int j = 0;
for(int x : ts) compressed[j ++] = x;
for(int i = 0; i < n; i ++) a[i] = lowerBound(compressed, a[i]);
return compressed;
}
final long[] compress(long[] a) {
int n = a.length;
Set<Long> ts = new TreeSet<>();
for(int i = 0; i < n; i ++) ts.add(a[i]);
long compressed[] = new long[ts.size()];
int j = 0;
for(long x : ts) compressed[j ++] = x;
for(int i = 0; i < n; i ++) a[i] = lowerBound(compressed, a[i]);
return compressed;
}
final double[] compress(double[] a) {
int n = a.length;
Set<Double> ts = new TreeSet<>();
for(int i = 0; i < n; i ++) ts.add(a[i]);
double compressed[] = new double[ts.size()];
int j = 0;
for(double x : ts) compressed[j ++] = x;
for(int i = 0; i < n; i ++) a[i] = lowerBound(compressed, a[i]);
return compressed;
}
final int lowerBound(int[] a, int key) { return BS(a, key, true, true, true); }
final int lowerBound(int[] a, int key, int ng, int ok) { return BS(a, key, true, true, true, ng, ok); }
final int upperBound(int[] a, int key) { return BS(a, key, true, true, false); }
final int upperBound(int[] a, int key, int ng, int ok) { return BS(a, key, true, true, false, ng, ok); }
final int cntBS(int[] a, int key, boolean asc, boolean gt, boolean eq) { return BS(a, key, asc, gt, eq, true); }
final int cntBS(int[] a, int key, boolean asc, boolean gt, boolean eq, int ng, int ok) { return BS(a, key, asc, gt, eq, true, ng, ok); }
final int BS(int[] a, int key, boolean asc, boolean gt, boolean eq) { return BS(a, key, asc, gt, eq, false); }
final int BS(int[] a, int key, boolean asc, boolean gt, boolean eq, int ng, int ok) { return BS(a, key, asc, gt, eq, false, ng, ok); }
final int BS(int[] a, int key, boolean asc, boolean gt, boolean eq, boolean cnt) { return BS(a, key, asc, gt, eq, cnt, asc ^ gt ? a.length : -1, asc ^ gt ? -1 : a.length); }
final int BS(int[] a, int key, boolean asc, boolean gt, boolean eq, boolean cnt, int ng, int ok) { int index = binarySearch(a, key, gt, eq, ng, ok); return cnt ? (int)abs(ok - index) : index; }
final int binarySearch(int[] a, int key, boolean gt, boolean eq, int ng, int ok) { while (abs(ok - ng) > 1) { int mid = (ok + ng) / 2; if(isOKforBS(a, mid, key, gt, eq)) ok = mid; else ng = mid; } return ok; }
final boolean isOKforBS(int[] a, int index, int key, boolean gt, boolean eq) { return (a[index] > key && gt) || (a[index] < key && !gt) || (a[index] == key && eq); }
final int lowerBound(long[] a, long key) { return BS(a, key, true, true, true); }
final int lowerBound(long[] a, long key, int ng, int ok) { return BS(a, key, true, true, true, ng, ok); }
final int upperBound(long[] a, long key) { return BS(a, key, true, true, false); }
final int upperBound(long[] a, long key, int ng, int ok) { return BS(a, key, true, true, false, ng, ok); }
final int cntBS(long[] a, long key, boolean asc, boolean gt, boolean eq) { return BS(a, key, asc, gt, eq, true); }
final int cntBS(long[] a, long key, boolean asc, boolean gt, boolean eq, int ng, int ok) { return BS(a, key, asc, gt, eq, true, ng, ok); }
final int BS(long[] a, long key, boolean asc, boolean gt, boolean eq) { return BS(a, key, asc, gt, eq, false); }
final int BS(long[] a, long key, boolean asc, boolean gt, boolean eq, int ng, int ok) { return BS(a, key, asc, gt, eq, false, ng, ok); }
final int BS(long[] a, long key, boolean asc, boolean gt, boolean eq, boolean cnt) { return BS(a, key, asc, gt, eq, cnt, asc ^ gt ? a.length : -1, asc ^ gt ? -1 : a.length); }
final int BS(long[] a, long key, boolean asc, boolean gt, boolean eq, boolean cnt, int ng, int ok) { int index = binarySearch(a, key, gt, eq, ng, ok); return cnt ? (int)abs(ok - index) : index; }
final int binarySearch(long[] a, long key, boolean gt, boolean eq, int ng, int ok) { while (abs(ok - ng) > 1) { int mid = (ok + ng) / 2; if(isOKforBS(a, mid, key, gt, eq)) ok = mid; else ng = mid; } return ok; }
final boolean isOKforBS(long[] a, int index, long key, boolean gt, boolean eq) { return (a[index] > key && gt) || (a[index] < key && !gt) || (a[index] == key && eq); }
final int lowerBound(double[] a, double key) { return BS(a, key, true, true, true); }
final int lowerBound(double[] a, double key, int ng, int ok) { return BS(a, key, true, true, true, ng, ok); }
final int upperBound(double[] a, double key) { return BS(a, key, true, true, false); }
final int upperBound(double[] a, double key, int ng, int ok) { return BS(a, key, true, true, false, ng, ok); }
final int cntBS(double[] a, double key, boolean asc, boolean gt, boolean eq) { return BS(a, key, asc, gt, eq, true); }
final int cntBS(double[] a, double key, boolean asc, boolean gt, boolean eq, int ng, int ok) { return BS(a, key, asc, gt, eq, true, ng, ok); }
final int BS(double[] a, double key, boolean asc, boolean gt, boolean eq) { return BS(a, key, asc, gt, eq, false); }
final int BS(double[] a, double key, boolean asc, boolean gt, boolean eq, int ng, int ok) { return BS(a, key, asc, gt, eq, false, ng, ok); }
final int BS(double[] a, double key, boolean asc, boolean gt, boolean eq, boolean cnt) { return BS(a, key, asc, gt, eq, cnt, asc ^ gt ? a.length : -1, asc ^ gt ? -1 : a.length); }
final int BS(double[] a, double key, boolean asc, boolean gt, boolean eq, boolean cnt, int ng, int ok) { int index = binarySearch(a, key, gt, eq, ng, ok); return cnt ? (int)abs(ok - index) : index; }
final int binarySearch(double[] a, double key, boolean gt, boolean eq, int ng, int ok) { while (abs(ok - ng) > 1) { int mid = (ok + ng) / 2; if(isOKforBS(a, mid, key, gt, eq)) ok = mid; else ng = mid; } return ok; }
final boolean isOKforBS(double[] a, int index, double key, boolean gt, boolean eq) { return (a[index] > key && gt) || (a[index] < key && !gt) || (a[index] == key && eq); }
final <T extends Comparable<? super T>> int lowerBound(T[] a, T key) { return BS(a, key, true, true, true); }
final <T extends Comparable<? super T>> int lowerBound(T[] a, T key, int ng, int ok) { return BS(a, key, true, true, true, ng, ok); }
final <T extends Comparable<? super T>> int upperBound(T[] a, T key) { return BS(a, key, true, true, false); }
final <T extends Comparable<? super T>> int upperBound(T[] a, T key, int ng, int ok) { return BS(a, key, true, true, false, ng, ok); }
final <T extends Comparable<? super T>> int cntBS(T[] a, T key, boolean asc, boolean gt, boolean eq) { return BS(a, key, asc, gt, eq, true); }
final <T extends Comparable<? super T>> int cntBS(T[] a, T key, boolean asc, boolean gt, boolean eq, int ng, int ok) { return BS(a, key, asc, gt, eq, true, ng, ok); }
final <T extends Comparable<? super T>> int BS(T[] a, T key, boolean asc, boolean gt, boolean eq) { return BS(a, key, asc, gt, eq, false); }
final <T extends Comparable<? super T>> int BS(T[] a, T key, boolean asc, boolean gt, boolean eq, int ng, int ok) { return BS(a, key, asc, gt, eq, false, ng, ok); }
final <T extends Comparable<? super T>> int BS(T[] a, T key, boolean asc, boolean gt, boolean eq, boolean cnt) { return BS(a, key, asc, gt, eq, cnt, asc ^ gt ? a.length : -1, asc ^ gt ? -1 : a.length); }
final <T extends Comparable<? super T>> int BS(T[] a, T key, boolean asc, boolean gt, boolean eq, boolean cnt, int ng, int ok) { int index = binarySearch(a, key, gt, eq, ng, ok); return cnt ? (int)abs(ok - index) : index; }
final <T extends Comparable<? super T>> int binarySearch(T[] a, T key, boolean gt, boolean eq, int ng, int ok) { while (abs(ok - ng) > 1) { int mid = (ok + ng) / 2; if(isOKforBS(a, mid, key, gt, eq)) ok = mid; else ng = mid; } return ok; }
final <T extends Comparable<? super T>> boolean isOKforBS(T[] a, int index, T key, boolean gt, boolean eq) { int compare = a[index].compareTo(key); return (compare > 0 && gt) || (compare < 0 && !gt) || (compare == 0 && eq); }
final <T> int lowerBound(T[] a, T key, Comparator<? super T> c) { return BS(a, key, true, true, true, c); }
final <T> int lowerBound(T[] a, T key, int ng, int ok, Comparator<? super T> c) { return BS(a, key, true, true, true, ng, ok, c); }
final <T> int upperBound(T[] a, T key, Comparator<? super T> c) { return BS(a, key, true, true, false, c); }
final <T> int upperBound(T[] a, T key, int ng, int ok, Comparator<? super T> c) { return BS(a, key, true, true, false, ng, ok, c); }
final <T> int cntBS(T[] a, T key, boolean asc, boolean gt, boolean eq, Comparator<? super T> c) { return BS(a, key, asc, gt, eq, true, c); }
final <T> int cntBS(T[] a, T key, boolean asc, boolean gt, boolean eq, int ng, int ok, Comparator<? super T> c) { return BS(a, key, asc, gt, eq, true, ng, ok, c); }
final <T> int BS(T[] a, T key, boolean asc, boolean gt, boolean eq, Comparator<? super T> c) { return BS(a, key, asc, gt, eq, false, c); }
final <T> int BS(T[] a, T key, boolean asc, boolean gt, boolean eq, int ng, int ok, Comparator<? super T> c) { return BS(a, key, asc, gt, eq, false, ng, ok, c); }
final <T> int BS(T[] a, T key, boolean asc, boolean gt, boolean eq, boolean cnt, Comparator<? super T> c) { return BS(a, key, asc, gt, eq, cnt, asc ^ gt ? a.length : -1, asc ^ gt ? -1 : a.length, c); }
final <T> int BS(T[] a, T key, boolean asc, boolean gt, boolean eq, boolean cnt, int ng, int ok, Comparator<? super T> c) { int index = binarySearch(a, key, gt, eq, ng, ok, c); return cnt ? (int)abs(ok - index) : index; }
final <T> int binarySearch(T[] a, T key, boolean gt, boolean eq, int ng, int ok, Comparator<? super T> c) { while (abs(ok - ng) > 1) { int mid = (ok + ng) / 2; if(isOKforBS(a, mid, key, gt, eq, c)) ok = mid; else ng = mid; } return ok; }
final <T> boolean isOKforBS(T[] a, int index, T key, boolean gt, boolean eq, Comparator<? super T> c) { int compare = c.compare(a[index], key); return (compare > 0 && gt) || (compare < 0 && !gt) || (compare == 0 && eq); }
final <T extends Comparable<? super T>> int lowerBound(List<T> a, T key) { return BS(a, key, true, true, true); }
final <T extends Comparable<? super T>> int lowerBound(List<T> a, T key, int ng, int ok) { return BS(a, key, true, true, true, ng, ok); }
final <T extends Comparable<? super T>> int upperBound(List<T> a, T key) { return BS(a, key, true, true, false); }
final <T extends Comparable<? super T>> int upperBound(List<T> a, T key, int ng, int ok) { return BS(a, key, true, true, false, ng, ok); }
final <T extends Comparable<? super T>> int cntBS(List<T> a, T key, boolean asc, boolean gt, boolean eq) { return BS(a, key, asc, gt, eq, true); }
final <T extends Comparable<? super T>> int cntBS(List<T> a, T key, boolean asc, boolean gt, boolean eq, int ng, int ok) { return BS(a, key, asc, gt, eq, true, ng, ok); }
final <T extends Comparable<? super T>> int BS(List<T> a, T key, boolean asc, boolean gt, boolean eq) { return BS(a, key, asc, gt, eq, false); }
final <T extends Comparable<? super T>> int BS(List<T> a, T key, boolean asc, boolean gt, boolean eq, int ng, int ok) { return BS(a, key, asc, gt, eq, false, ng, ok); }
final <T extends Comparable<? super T>> int BS(List<T> a, T key, boolean asc, boolean gt, boolean eq, boolean cnt) { return BS(a, key, asc, gt, eq, cnt, asc ^ gt ? a.size() : -1, asc ^ gt ? -1 : a.size()); }
final <T extends Comparable<? super T>> int BS(List<T> a, T key, boolean asc, boolean gt, boolean eq, boolean cnt, int ng, int ok) { int index = binarySearch(a, key, gt, eq, ng, ok); return cnt ? (int)abs(ok - index) : index; }
final <T extends Comparable<? super T>> int binarySearch(List<T> a, T key, boolean gt, boolean eq, int ng, int ok) { while (abs(ok - ng) > 1) { int mid = (ok + ng) / 2; if(isOKforBS(a, mid, key, gt, eq)) ok = mid; else ng = mid; } return ok; }
final <T extends Comparable<? super T>> boolean isOKforBS(List<T> a, int index, T key, boolean gt, boolean eq) { int compare = a.get(index).compareTo(key); return (compare > 0 && gt) || (compare < 0 && !gt) || (compare == 0 && eq); }
final <T> int lowerBound(List<T> a, T key, Comparator<? super T> c) { return BS(a, key, true, true, true, c); }
final <T> int lowerBound(List<T> a, T key, int ng, int ok, Comparator<? super T> c) { return BS(a, key, true, true, true, ng, ok, c); }
final <T> int upperBound(List<T> a, T key, Comparator<? super T> c) { return BS(a, key, true, true, false, c); }
final <T> int upperBound(List<T> a, T key, int ng, int ok, Comparator<? super T> c) { return BS(a, key, true, true, false, ng, ok, c); }
final <T> int cntBS(List<T> a, T key, boolean asc, boolean gt, boolean eq, Comparator<? super T> c) { return BS(a, key, asc, gt, eq, true, c); }
final <T> int cntBS(List<T> a, T key, boolean asc, boolean gt, boolean eq, int ng, int ok, Comparator<? super T> c) { return BS(a, key, asc, gt, eq, true, ng, ok, c); }
final <T> int BS(List<T> a, T key, boolean asc, boolean gt, boolean eq, Comparator<? super T> c) { return BS(a, key, asc, gt, eq, false, c); }
final <T> int BS(List<T> a, T key, boolean asc, boolean gt, boolean eq, int ng, int ok, Comparator<? super T> c) { return BS(a, key, asc, gt, eq, false, ng, ok, c); }
final <T> int BS(List<T> a, T key, boolean asc, boolean gt, boolean eq, boolean cnt, Comparator<? super T> c) { return BS(a, key, asc, gt, eq, cnt, asc ^ gt ? a.size() : -1, asc ^ gt ? -1 : a.size(), c); }
final <T> int BS(List<T> a, T key, boolean asc, boolean gt, boolean eq, boolean cnt, int ng, int ok, Comparator<? super T> c) { int index = binarySearch(a, key, gt, eq, ng, ok, c); return cnt ? (int)abs(ok - index) : index; }
final <T> int binarySearch(List<T> a, T key, boolean gt, boolean eq, int ng, int ok, Comparator<? super T> c) { while (abs(ok - ng) > 1) { int mid = (ok + ng) / 2; if(isOKforBS(a, mid, key, gt, eq, c)) ok = mid; else ng = mid; } return ok; }
final <T> boolean isOKforBS(List<T> a, int index, T key, boolean gt, boolean eq, Comparator<? super T> c) { int compare = c.compare(a.get(index), key); return (compare > 0 && gt) || (compare < 0 && !gt) || (compare == 0 && eq); }
final PairLL binaryRangeSearch(long left, long right, UnaryOperator<Long> op, boolean minimize) {
long ok1 = right, ng1 = left;
while(abs(ok1 - ng1) > 1) {
long mid = (ok1 + ng1) / 2;
boolean isOK = (op.apply(mid + 1) - op.apply(mid)) * (minimize ? 1 : -1) >= 0;
if(isOK) ok1 = mid; else ng1 = mid;
}
long ok2 = left, ng2 = right;
while(abs(ok2 - ng2) > 1) {
long mid = (ok2 + ng2) / 2;
boolean isOK = (op.apply(mid - 1) - op.apply(mid)) * (minimize ? 1 : -1) >= 0;
if(isOK) ok2 = mid; else ng2 = mid;
}
return new PairLL(ok1, ok2); //[l, r]
}
final double ternarySearch(double left, double right, UnaryOperator<Double> op, boolean minimize, int loop) {
for(int cnt = 0; cnt < loop; cnt ++) {
double m1 = (left * 2 + right) / 3.0;
double m2 = (left + right * 2) / 3.0;
if(op.apply(m1) > op.apply(m2) ^ minimize) right = m2; else left = m1;
}
return (left + right) / 2.0;
}
// mods
Mod md = new Mod();
// class Mod107 extends Mod { Mod107() { super(1_000_000_007); } } Mod107 md = new Mod107();
// class Mod998 extends Mod { Mod998() { super(998244353); } } Mod998 md = new Mod998();
class Mod {
final long MOD = 1_000_000_007; Mod() { MH = 0; ML = 0; IS_MOD_CONST = true; }
// final long MOD = 998244353; Mod() { MH = 0; ML = 0; IS_MOD_CONST = true; }
// final long MOD; Mod(long mod) { MOD = mod; IS_MOD_CONST = false; long a = (1l << 32) / MOD; long b = (1l << 32) % MOD; long m = a * a * MOD + 2 * a * b + (b * b) / MOD; MH = m >>> 32; ML = m & MASK; }
static final long MASK = 0xffff_ffffl;
final long MH;
final long ML;
final boolean IS_MOD_CONST;
final long reduce(long x) {
if(MOD == 1) return 0;
if(x < 0) return (x = reduce(- x)) == 0 ? 0 : MOD - x;
long z = (x & MASK) * ML;
z = (x & MASK) * MH + (x >>> 32) * ML + (z >>> 32);
z = (x >>> 32) * MH + (z >>> 32);
x -= z * MOD;
return x < MOD ? x : x - MOD;
}
final long mod(long x) {
if(0 <= x && x < MOD) return x;
if(- MOD <= x && x < 0) return x + MOD;
return IS_MOD_CONST ? ((x %= MOD) < 0 ? x + MOD : x) : reduce(x);
}
final long[] mod(long[] a) { for(int i = 0; i < a.length; i ++) a[i] = mod(a[i]); return a; }
final long[][] mod(long[][] a) { for(int i = 0; i < a.length; i ++) mod(a[i]); return a; }
final long[][][] mod(long[][][] a) { for(int i = 0; i < a.length; i ++) mod(a[i]); return a; }
final long add(long x, long y) { return (x += y) >= MOD * 2 || x < 0 ? mod(x) : x >= MOD ? x - MOD : x; }
final long sum(long... x) { long sum = 0; for(long ele : x) sum = add(sum, ele); return sum; }
final long sub(long x, long y) { return (x -= y) < - MOD || x >= MOD ? mod(x) : x < 0 ? x + MOD : x; }
final long pow(long x, long y) {
nonNegativeCheck(y);
x = mod(x);
long ans = 1;
for(; y > 0; y >>= 1) {
if((y & 1) != 0) ans = mul(ans, x);
x = mul(x, x);
}
return ans;
}
final long mul(long x, long y) {
if(x >= 0 && x < MOD && y >= 0 && y < MOD) return IS_MOD_CONST ? (x * y) % MOD : reduce(x * y);
x = mod(x);
y = mod(y);
return IS_MOD_CONST ? (x * y) % MOD : reduce(x * y);
}
final long mul(long... x) { long ans = 1; for(long ele : x) ans = mul(ans, ele); return ans; }
final long div(long x, long y) { return mul(x, inv(y)); }
final long[] pows(long x, int max) {
x = mod(x);
long pow[] = new long[max + 1];
pow[0] = 1;
for(int i = 0; i < max; i ++) pow[i + 1] = mul(pow[i], x);
return pow;
}
final long fact(int n) {
nonNegativeCheck(n);
prepareFact();
if(n < MAX_FACT1) return fact[n];
else {
long ans = fact[MAX_FACT1 - 1];
for(int i = MAX_FACT1; i <= n; i ++) ans = mul(ans, i);
return ans;
}
}
final long invFact(int n) {
nonNegativeCheck(n);
prepareFact();
if(n < MAX_FACT1) return invFact[n];
else return inv(fact(n));
}
static final int MAX_INV_SIZE = 100_100;
final Map<Long, Long> invMap = new HashMap<>();
final long inv(long x) {
x = mod(x);
if(invMap.containsKey(x)) return invMap.get(x);
if(invMap.size() >= MAX_INV_SIZE) return calInv(x);
invMap.put(x, calInv(x));
return invMap.get(x);
}
final long calInv(long x) { // O(logM)
PairLL s = new PairLL(MOD, 0);
PairLL t = new PairLL(mod(x), 1);
while(t.a > 0) {
long tmp = s.a / t.a;
PairLL u = new PairLL(s.a - t.a * tmp, s.b - t.b * tmp);
s = t;
t = u;
}
if(s.b < 0) s.b += MOD / s.a;
return s.b;
}
final long[] invs(int n) { // O(N)
positiveCheck(n);
long inv[] = new long[n + 1];
inv[1] = 1;
for(int i = 2; i <= n; i ++) inv[i] = mul(inv[(int)(MOD % i)], (MOD - MOD / i));
return inv;
}
static final int MAX_FACT1 = 5_000_100;
static final int MAX_FACT2 = 500_100;
static final int MAX_FACT_MAP_SIZE = 100;
long fact[];
long invFact[];
boolean isFactPrepared = false;
final Map<Long, long[]> factMap = new HashMap<>();
final void prepareFact() {
if(isFactPrepared) return;
fact = new long[MAX_FACT1];
invFact = new long[MAX_FACT1];
fill(fact, 0);
fill(invFact, 0);
fact[0] = 1;
int maxIndex = min(MAX_FACT1, (int)MOD);
for(int i = 1; i < maxIndex; i ++) fact[i] = mul(fact[i - 1], i);
invFact[maxIndex - 1] = inv(fact[maxIndex - 1]);
for(int i = maxIndex - 1; i > 0; i --) invFact[i - 1] = mul(invFact[i], i);
isFactPrepared = true;
}
final long P(long n, long r) {
if(!isFactPrepared) prepareFact();
if(n < 0 || r < 0 || n < r) return 0;
if(n < MAX_FACT1 && n < MOD) return mul(fact[(int)n], invFact[(int)(n - r)]);
if(!factMap.containsKey(n)) {
long largeFact[] = new long[MAX_FACT2];
factMap.put(n, largeFact);
fill(largeFact, -1);
largeFact[0] = 1;
}
long largeFact[] = factMap.get(n);
if(r >= MAX_FACT2) {
long ans = 1;
for(long i = n - r + 1; i <= n; i ++) ans = mul(ans, i);
return ans;
}else {
int i = (int)r;
while(largeFact[i] < 0) i --;
for(; i < r; i ++) largeFact[i + 1] = mul(largeFact[i], n - i);
if(factMap.size() > MAX_FACT_MAP_SIZE) factMap.remove(n);
return largeFact[(int)r];
}
}
final long C(long n, long r) {
if(!isFactPrepared) prepareFact();
if(n < 0) return mod(C(- n + r - 1, - n - 1) * ((r & 1) == 0 ? 1 : -1));
if(r < 0 || n < r) return 0;
r = min(r, n - r);
if(n < MOD) return mul(P(n, r), r < MAX_FACT1 ? invFact[(int)r] : inv(fact((int)r)));
long digitN[] = baseConvert(n, MOD);
long digitR[] = baseConvert(r, MOD);
int len = digitN.length;
digitR = resize(digitR, len, 0);
long ans = 1;
for(int i = 0; i < len; i ++) ans = mul(ans, C(digitN[i], digitR[i]));
return ans;
}
final long H(long n, long r) { return C(n - 1 + r, r); }
final long sqrt(long x) {
x = mod(x);
long p = (MOD - 1) >> 1;
if(pow(x, p) != 1) return -1;
long q = MOD - 1;
int m = 1;
while(((q >>= 1) & 1) == 0) m ++;
long z = 1;
while(pow(z, p) == 1) z = random(1, MOD);
long c = pow(z, q);
long t = pow(x, q);
long r = pow(x, (q + 1) >> 1);
if(t == 0) return 0;
m -= 2;
while(t != 1) {
long pows[] = new long[m + 1];
pows[0] = t;
for(int i = 0; i < m; i ++) pows[i + 1] = mul(pows[i], pows[i]);
while(pows[m --] == 1) c = mul(c, c);
r = mul(r, c);
c = mul(c, c);
t = mul(t, c);
}
return r;
}
}
final long mod(long x, long mod) {
if(0 <= x && x < mod) return x;
if(- mod <= x && x < 0) return x + mod;
return (x %= mod) < 0 ? x + mod : x;
}
final long pow(long x, long y, long mod) {
nonNegativeCheck(y);
x = mod(x, mod);
long ans = 1;
for(; y > 0; y >>= 1) {
if((y & 1) != 0) ans = mod(ans * x, mod);
x = mod(x * x, mod);
}
return ans;
}
// grid
class Grids {
int h, w;
Grid[][] gs;
Grid[] gi;
Grids(int h, int w) {
nonNegativeCheck(h);
nonNegativeCheck(w);
this.h = h;
this.w = w;
gs = new Grid[h][w];
gi = new Grid[h * w];
for(int i = 0; i < h; i ++) {
for(int j = 0; j < w; j ++) {
gs[i][j] = new Grid(i, j, h, w);
gi[gs[i][j].i] = gs[i][j];
}
}
}
void init(boolean[][] b) { for(int i = 0; i < h; i ++) for(int j = 0; j < w; j ++) gs[i][j].b = b[i][j]; }
void init(long[][] val) { for(int i = 0; i < h; i ++) for(int j = 0; j < w; j ++) gs[i][j].val = val[i][j]; }
Grid get(int x, int y) { return isValid(x, y, h, w) ? gs[x][y] : null; }
Grid get(int i) { return get(i / w, i % w); }
int dx[] = {0, -1, 1, 0, 0, -1, 1, -1, 1};
int dy[] = {0, 0, 0, -1, 1, -1, -1, 1, 1};
Grid next(int x, int y, int i) { return next(gs[x][y], i); }
Grid next(Grid g, int i) { return isValid(g.x + dx[i], g.y + dy[i], g.h, g.w) ? gs[g.x + dx[i]][g.y + dy[i]] : null; }
}
class Grid implements Comparable<Grid> {
int x, y, h, w, i; boolean b; long val;
Grid() { }
Grid(int x, int y, int h, int w) { init(x, y, h, w, false, 0); }
Grid(int x, int y, int h, int w, boolean b) { init(x, y, h, w, b, 0); }
Grid(int x, int y, int h, int w, long val) { init(x, y, h, w, false, val); }
Grid(int x, int y, int h, int w, boolean b, long val) { init(x, y, h, w, b, val); }
void init(int x, int y, int h, int w, boolean b, long val) { this.x = x; this.y = y; this.h = h; this.w = w; this.b = b; this.val = val; this.i = x * w + y; }
@Override public String toString() { return "("+x+", "+y+")"+" "+booleanToString(b)+" "+val; }
@Override public int hashCode() { return Objects.hash(x, y, h, w, b, val); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
Grid that = (Grid) obj;
if(this.x != that.x) return false;
if(this.y != that.y) return false;
if(this.h != that.h) return false;
if(this.w != that.w) return false;
if(this.b != that.b) return false;
if(this.val != that.val) return false;
return true;
}
@Override
public int compareTo(Grid that) {
int c = Long.compare(this.val, that.val);
if(c == 0) c = Integer.compare(this.x, that.x);
if(c == 0) c = Integer.compare(this.y, that.y);
return c;
}
}
final boolean isValid(int x, int y, int h, int w) { return x >= 0 && x < h && y >= 0 && y < w; }
final boolean isValid(Grid g) { return isValid(g.x, g.y, g.h, g.w); }
// graph
class Graph {
int numNode, numEdge;
boolean directed;
List<Edge> edges = new ArrayList<>();
Node nodes[];
Node reversedNodes[];
Graph(int numNode, int numEdge, boolean directed) {
nonNegativeCheck(numNode);
this.numNode = numNode;
this.numEdge = numEdge;
this.directed = directed;
nodes = new Node[numNode];
reversedNodes = new Node[numNode];
for(int i = 0; i < numNode; i ++) {
nodes[i] = new Node(i);
reversedNodes[i] = new Node(i);
}
}
void init(List<Edge> edges) {
this.edges = edges;
for(Edge e : edges) add(e);
}
void add(int source, int target, long cost) { add(new Edge(source, target, cost)); }
void add(Edge e) {
rangeCheck(e.source, numNode);
rangeCheck(e.target, numNode);
edges.add(e);
nodes[e.source].add(e.target, e.cost);
if(directed) reversedNodes[e.target].add(e.source, e.cost);
else nodes[e.target].add(e.source, e.cost);
numEdge = edges.size();
}
void clearNodes() { edges.clear(); numEdge = 0; for(Node n : nodes) n.clear(); for(Node n : reversedNodes) n.clear(); }
}
class Node extends ArrayList<Edge> {
int id;
Node(int id) { this.id = id; }
void add(int target, long cost) { add(new Edge(id, target, cost)); }
}
class Edge implements Comparable<Edge> {
int source; int target; long cost;
Edge(int source, int target, long cost) { this.source = source; this.target = target; this.cost = cost; }
@Override public String toString() { return source+" - "+cost+" -> "+target; }
@Override public int hashCode() { return Objects.hash(source, target); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
Edge that = (Edge) obj;
if(this.source != that.source) return false;
if(this.target != that.target) return false;
return true;
}
@Override
public int compareTo(Edge that) {
int c = Long.compare(this.cost, that.cost);
if(c == 0) c = Integer.compare(this.source, that.source);
if(c == 0) c = Integer.compare(this.target, that.target);
return c;
}
}
// Pair
class Pair<T extends Comparable<? super T>, U extends Comparable<? super U>> implements Comparable<Pair<T, U>> {
T a; U b;
Pair() { }
Pair(T a, U b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a.toString()+", "+b.toString()+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
Pair that = (Pair) obj;
if(this.a.getClass() != that.a.getClass()) return false;
if(this.b.getClass() != that.b.getClass()) return false;
if(!this.a.equals(that.a)) return false;
if(!this.b.equals(that.b)) return false;
return true;
}
@Override public int compareTo(Pair<T, U> that) { int c = (this.a).compareTo(that.a); if(c == 0) c = (this.b).compareTo(that.b); return c; }
}
final PairII npii() { return new PairII(ni(), ni()); }
final PairII[] npii(int n) { PairII a[] = new PairII[n]; for(int i = 0; i < n; i ++) a[i] = npii(); return a; }
final PairII[][] npii(int n, int m) { PairII a[][] = new PairII[n][m]; for(int i = 0; i < n; i ++) a[i] = npii(m); return a; }
class PairII implements Comparable<PairII> {
int a; int b;
PairII() { }
PairII(int a, int b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairII that = (PairII) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override public int compareTo(PairII that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); return c; }
}
final PairIL npil() { return new PairIL(ni(), nl()); }
final PairIL[] npil(int n) { PairIL a[] = new PairIL[n]; for(int i = 0; i < n; i ++) a[i] = npil(); return a; }
final PairIL[][] npil(int n, int m) { PairIL a[][] = new PairIL[n][m]; for(int i = 0; i < n; i ++) a[i] = npil(m); return a; }
class PairIL implements Comparable<PairIL> {
int a; long b;
PairIL() { }
PairIL(int a, long b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairIL that = (PairIL) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override public int compareTo(PairIL that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); return c; }
}
final PairID npid() { return new PairID(ni(), nd()); }
final PairID[] npid(int n) { PairID a[] = new PairID[n]; for(int i = 0; i < n; i ++) a[i] = npid(); return a; }
final PairID[][] npid(int n, int m) { PairID a[][] = new PairID[n][m]; for(int i = 0; i < n; i ++) a[i] = npid(m); return a; }
class PairID implements Comparable<PairID> {
int a; double b;
PairID() { }
PairID(int a, double b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairID that = (PairID) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override public int compareTo(PairID that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); return c; }
}
final PairLI npli() { return new PairLI(nl(), ni()); }
final PairLI[] npli(int n) { PairLI a[] = new PairLI[n]; for(int i = 0; i < n; i ++) a[i] = npli(); return a; }
final PairLI[][] npli(int n, int m) { PairLI a[][] = new PairLI[n][m]; for(int i = 0; i < n; i ++) a[i] = npli(m); return a; }
class PairLI implements Comparable<PairLI> {
long a; int b;
PairLI() { }
PairLI(long a, int b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairLI that = (PairLI) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override public int compareTo(PairLI that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); return c; }
}
final PairLL npll() { return new PairLL(nl(), nl()); }
final PairLL[] npll(int n) { PairLL a[] = new PairLL[n]; for(int i = 0; i < n; i ++) a[i] = npll(); return a; }
final PairLL[][] npll(int n, int m) { PairLL a[][] = new PairLL[n][m]; for(int i = 0; i < n; i ++) a[i] = npll(m); return a; }
class PairLL implements Comparable<PairLL> {
long a; long b;
PairLL() { }
PairLL(long a, long b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairLL that = (PairLL) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override public int compareTo(PairLL that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); return c; }
}
final PairLD npld() { return new PairLD(nl(), nd()); }
final PairLD[] npld(int n) { PairLD a[] = new PairLD[n]; for(int i = 0; i < n; i ++) a[i] = npld(); return a; }
final PairLD[][] npld(int n, int m) { PairLD a[][] = new PairLD[n][m]; for(int i = 0; i < n; i ++) a[i] = npld(m); return a; }
class PairLD implements Comparable<PairLD> {
long a; double b;
PairLD() { }
PairLD(long a, double b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairLD that = (PairLD) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override public int compareTo(PairLD that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); return c; }
}
final PairDI npdi() { return new PairDI(nd(), ni()); }
final PairDI[] npdi(int n) { PairDI a[] = new PairDI[n]; for(int i = 0; i < n; i ++) a[i] = npdi(); return a; }
final PairDI[][] npdi(int n, int m) { PairDI a[][] = new PairDI[n][m]; for(int i = 0; i < n; i ++) a[i] = npdi(m); return a; }
class PairDI implements Comparable<PairDI> {
double a; int b;
PairDI() { }
PairDI(double a, int b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairDI that = (PairDI) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override public int compareTo(PairDI that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); return c; }
}
final PairDL npdl() { return new PairDL(nd(), nl()); }
final PairDL[] npdl(int n) { PairDL a[] = new PairDL[n]; for(int i = 0; i < n; i ++) a[i] = npdl(); return a; }
final PairDL[][] npdl(int n, int m) { PairDL a[][] = new PairDL[n][m]; for(int i = 0; i < n; i ++) a[i] = npdl(m); return a; }
class PairDL implements Comparable<PairDL> {
double a; long b;
PairDL() { }
PairDL(double a, long b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairDL that = (PairDL) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override public int compareTo(PairDL that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); return c; }
}
final PairDD npdd() { return new PairDD(nd(), nd()); }
final PairDD[] npdd(int n) { PairDD a[] = new PairDD[n]; for(int i = 0; i < n; i ++) a[i] = npdd(); return a; }
final PairDD[][] npdd(int n, int m) { PairDD a[][] = new PairDD[n][m]; for(int i = 0; i < n; i ++) a[i] = npdd(m); return a; }
class PairDD implements Comparable<PairDD> {
double a; double b;
PairDD() { }
PairDD(double a, double b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairDD that = (PairDD) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override public int compareTo(PairDD that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); return c; }
}
interface ITuple {
public StringBuilder toStringBuilder();
@Override public String toString();
@Override public int hashCode();
@Override public boolean equals(Object obj);
}
class BasicTuple<T extends ITuple & Comparable<? super T>, V extends Comparable<? super V>> implements Comparable<BasicTuple> {
T t; V a;
BasicTuple() { }
StringBuilder sbTuple = new StringBuilder();
public StringBuilder toStringBuilder() {
sbTuple.setLength(0);
return sbTuple.append(t.toStringBuilder()).append(", ").append(a);
}
@Override public String toString() { return "("+toStringBuilder().toString()+")"; }
@Override public int hashCode() { return Objects.hash(t, a); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
BasicTuple that = (BasicTuple) obj;
if(this.t.getClass() != that.t.getClass()) return false;
if(this.a.getClass() != that.a.getClass()) return false;
if(!this.t.equals(that.t)) return false;
if(!this.a.equals(that.a)) return false;
return true;
}
@Override @SuppressWarnings("unchecked") public int compareTo(BasicTuple that) { int c = (this.t).compareTo((T) (Object) that.t); if(c == 0) c = (this.a).compareTo((V) (Object) that.a); return c; }
}
class UniqueTuple<V extends Comparable<? super V>> implements ITuple, Comparable<UniqueTuple> {
V a;
UniqueTuple() { }
final StringBuilder sbTuple = new StringBuilder();
public StringBuilder toStringBuilder() { sbTuple.setLength(0); return sbTuple.append(a); }
@Override public String toString() { return "("+toStringBuilder().toString()+")"; }
@Override public int hashCode() { return Objects.hash(a); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
UniqueTuple that = (UniqueTuple) obj;
if(this.a.getClass() != that.a.getClass()) return false;
if(!this.a.equals(that.a)) return false;
return true;
}
@Override @SuppressWarnings("unchecked") public int compareTo(UniqueTuple that) { return (this.a).compareTo((V) (Object) that.a); }
}
class Tuple1<T0 extends Comparable<? super T0>> extends UniqueTuple<T0> implements ITuple {
Tuple1() { super(); }
Tuple1(T0 a0) { super(); this.a = a0; }
T0 get0() { return a; }
void set0(T0 x) { a = x; }
}
class Tuple2<
T0 extends Comparable<? super T0>,
T1 extends Comparable<? super T1>>
extends BasicTuple<Tuple1<T0>, T1> implements ITuple {
Tuple2() { super(); }
@SuppressWarnings("unchecked") Tuple2(T0 a0, T1 a1) { super(); this.t = new Tuple1(a0); this.a = a1; }
T0 get0() { return t.get0(); }
T1 get1() { return a; }
void set0(T0 x) { t.set0(x); }
void set1(T1 x) { a = x; }
}
class Tuple3<
T0 extends Comparable<? super T0>,
T1 extends Comparable<? super T1>,
T2 extends Comparable<? super T2>>
extends BasicTuple<Tuple2<T0, T1>, T2> implements ITuple {
Tuple3() { super(); }
@SuppressWarnings("unchecked") Tuple3(T0 a0, T1 a1, T2 a2) { super(); this.t = new Tuple2(a0, a1); this.a = a2; }
T0 get0() { return t.get0(); }
T1 get1() { return t.get1(); }
T2 get2() { return a; }
void set0(T0 x) { t.set0(x); }
void set1(T1 x) { t.set1(x); }
void set2(T2 x) { a = x; }
}
class Tuple4<
T0 extends Comparable<? super T0>,
T1 extends Comparable<? super T1>,
T2 extends Comparable<? super T2>,
T3 extends Comparable<? super T3>>
extends BasicTuple<Tuple3<T0, T1, T2>, T3> implements ITuple {
Tuple4() { super(); }
@SuppressWarnings("unchecked") Tuple4(T0 a0, T1 a1, T2 a2, T3 a3) { super(); this.t = new Tuple3(a0, a1, a2); this.a = a3; }
T0 get0() { return t.get0(); }
T1 get1() { return t.get1(); }
T2 get2() { return t.get2(); }
T3 get3() { return a; }
void set0(T0 x) { t.set0(x); }
void set1(T1 x) { t.set1(x); }
void set2(T2 x) { t.set2(x); }
void set3(T3 x) { a = x; }
}
class Tuple5<
T0 extends Comparable<? super T0>,
T1 extends Comparable<? super T1>,
T2 extends Comparable<? super T2>,
T3 extends Comparable<? super T3>,
T4 extends Comparable<? super T4>>
extends BasicTuple<Tuple4<T0, T1, T2, T3>, T4> implements ITuple {
Tuple5() { super(); }
@SuppressWarnings("unchecked") Tuple5(T0 a0, T1 a1, T2 a2, T3 a3, T4 a4) { super(); this.t = new Tuple4(a0, a1, a2, a3); this.a = a4; }
T0 get0() { return t.get0(); }
T1 get1() { return t.get1(); }
T2 get2() { return t.get2(); }
T3 get3() { return t.get3(); }
T4 get4() { return a; }
void set0(T0 x) { t.set0(x); }
void set1(T1 x) { t.set1(x); }
void set2(T2 x) { t.set2(x); }
void set3(T3 x) { t.set3(x); }
void set4(T4 x) { a = x; }
}
class Tuple6<
T0 extends Comparable<? super T0>,
T1 extends Comparable<? super T1>,
T2 extends Comparable<? super T2>,
T3 extends Comparable<? super T3>,
T4 extends Comparable<? super T4>,
T5 extends Comparable<? super T5>>
extends BasicTuple<Tuple5<T0, T1, T2, T3, T4>, T5> implements ITuple {
Tuple6() { super(); }
@SuppressWarnings("unchecked")
Tuple6(T0 a0, T1 a1, T2 a2, T3 a3, T4 a4, T5 a5) { super(); this.t = new Tuple5(a0, a1, a2, a3, a4); this.a = a5; }
T0 get0() { return t.get0(); }
T1 get1() { return t.get1(); }
T2 get2() { return t.get2(); }
T3 get3() { return t.get3(); }
T4 get4() { return t.get4(); }
T5 get5() { return a; }
void set0(T0 x) { t.set0(x); }
void set1(T1 x) { t.set1(x); }
void set2(T2 x) { t.set2(x); }
void set3(T3 x) { t.set3(x); }
void set4(T4 x) { t.set4(x); }
void set5(T5 x) { a = x; }
}
class Tuple7<
T0 extends Comparable<? super T0>,
T1 extends Comparable<? super T1>,
T2 extends Comparable<? super T2>,
T3 extends Comparable<? super T3>,
T4 extends Comparable<? super T4>,
T5 extends Comparable<? super T5>,
T6 extends Comparable<? super T6>>
extends BasicTuple<Tuple6<T0, T1, T2, T3, T4, T5>, T6> implements ITuple {
Tuple7() { super(); }
@SuppressWarnings("unchecked")
Tuple7(T0 a0, T1 a1, T2 a2, T3 a3, T4 a4, T5 a5, T6 a6) { super(); this.t = new Tuple6(a0, a1, a2, a3, a4, a5); this.a = a6; }
T0 get0() { return t.get0(); }
T1 get1() { return t.get1(); }
T2 get2() { return t.get2(); }
T3 get3() { return t.get3(); }
T4 get4() { return t.get4(); }
T5 get5() { return t.get5(); }
T6 get6() { return a; }
void set0(T0 x) { t.set0(x); }
void set1(T1 x) { t.set1(x); }
void set2(T2 x) { t.set2(x); }
void set3(T3 x) { t.set3(x); }
void set4(T4 x) { t.set4(x); }
void set5(T5 x) { t.set5(x); }
void set6(T6 x) { a = x; }
}
class Tuple8<
T0 extends Comparable<? super T0>,
T1 extends Comparable<? super T1>,
T2 extends Comparable<? super T2>,
T3 extends Comparable<? super T3>,
T4 extends Comparable<? super T4>,
T5 extends Comparable<? super T5>,
T6 extends Comparable<? super T6>,
T7 extends Comparable<? super T7>>
extends BasicTuple<Tuple7<T0, T1, T2, T3, T4, T5, T6>, T7> implements ITuple {
Tuple8() { super(); }
@SuppressWarnings("unchecked")
Tuple8(T0 a0, T1 a1, T2 a2, T3 a3, T4 a4, T5 a5, T6 a6, T7 a7) { super(); this.t = new Tuple7(a0, a1, a2, a3, a4, a5, a6); this.a = a7; }
T0 get0() { return t.get0(); }
T1 get1() { return t.get1(); }
T2 get2() { return t.get2(); }
T3 get3() { return t.get3(); }
T4 get4() { return t.get4(); }
T5 get5() { return t.get5(); }
T6 get6() { return t.get6(); }
T7 get7() { return a; }
void set0(T0 x) { t.set0(x); }
void set1(T1 x) { t.set1(x); }
void set2(T2 x) { t.set2(x); }
void set3(T3 x) { t.set3(x); }
void set4(T4 x) { t.set4(x); }
void set5(T5 x) { t.set5(x); }
void set6(T6 x) { t.set6(x); }
void set7(T7 x) { a = x; }
}
class TupleIII implements Comparable<TupleIII> {
int a; int b; int c;
TupleIII() { }
TupleIII(int a, int b, int c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleIII that = (TupleIII) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleIII that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); if(c == 0) c = Integer.compare(this.c, that.c); return c; }
}
class TupleIIL implements Comparable<TupleIIL> {
int a; int b; long c;
TupleIIL() { }
TupleIIL(int a, int b, long c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleIIL that = (TupleIIL) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleIIL that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); if(c == 0) c = Long.compare(this.c, that.c); return c;
}
}
class TupleIID implements Comparable<TupleIID> {
int a; int b; double c;
TupleIID() { }
TupleIID(int a, int b, double c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleIID that = (TupleIID) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleIID that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); if(c == 0) c = Double.compare(this.c, that.c); return c; }
}
class TupleILI implements Comparable<TupleILI> {
int a; long b; int c;
TupleILI() { }
TupleILI(int a, long b, int c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleILI that = (TupleILI) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleILI that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); if(c == 0) c = Integer.compare(this.c, that.c); return c; }
}
class TupleILL implements Comparable<TupleILL> {
int a; long b; long c;
TupleILL() { }
TupleILL(int a, long b, long c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleILL that = (TupleILL) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleILL that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); if(c == 0) c = Long.compare(this.c, that.c); return c; }
}
class TupleILD implements Comparable<TupleILD> {
int a; long b; double c;
TupleILD() { }
TupleILD(int a, long b, double c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleILD that = (TupleILD) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleILD that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); if(c == 0) c = Double.compare(this.c, that.c); return c; }
}
class TupleIDI implements Comparable<TupleIDI> {
int a; double b; int c;
TupleIDI() { }
TupleIDI(int a, double b, int c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleIDI that = (TupleIDI) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override
public int compareTo(TupleIDI that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); if(c == 0) c = Integer.compare(this.c, that.c); return c; }
}
class TupleIDL implements Comparable<TupleIDL> {
int a; double b; long c;
TupleIDL() { }
TupleIDL(int a, double b, long c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleIDL that = (TupleIDL) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleIDL that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); if(c == 0) c = Long.compare(this.c, that.c); return c; }
}
class TupleIDD implements Comparable<TupleIDD> {
int a; double b; double c;
TupleIDD() { }
TupleIDD(int a, double b, double c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleIDD that = (TupleIDD) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleIDD that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); if(c == 0) c = Double.compare(this.c, that.c); return c; }
}
class TupleLII implements Comparable<TupleLII> {
long a; int b; int c;
TupleLII() { }
TupleLII(long a, int b, int c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleLII that = (TupleLII) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleLII that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); if(c == 0) c = Integer.compare(this.c, that.c); return c; }
}
class TupleLIL implements Comparable<TupleLIL> {
long a; int b; long c;
TupleLIL() { }
TupleLIL(long a, int b, long c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleLIL that = (TupleLIL) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleLIL that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); if(c == 0) c = Long.compare(this.c, that.c); return c; }
}
class TupleLID implements Comparable<TupleLID> {
long a; int b; double c;
TupleLID() { }
TupleLID(long a, int b, double c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleLID that = (TupleLID) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleLID that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); if(c == 0) c = Double.compare(this.c, that.c); return c; }
}
class TupleLLI implements Comparable<TupleLLI> {
long a; long b; int c;
TupleLLI() { }
TupleLLI(long a, long b, int c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleLLI that = (TupleLLI) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleLLI that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); if(c == 0) c = Integer.compare(this.c, that.c); return c; }
}
class TupleLLL implements Comparable<TupleLLL> {
long a; long b; long c;
TupleLLL() { }
TupleLLL(long a, long b, long c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleLLL that = (TupleLLL) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleLLL that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); if(c == 0) c = Long.compare(this.c, that.c); return c; }
}
class TupleLLD implements Comparable<TupleLLD> {
long a; long b; double c;
TupleLLD() { }
TupleLLD(long a, long b, double c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleLLD that = (TupleLLD) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleLLD that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); if(c == 0) c = Double.compare(this.c, that.c); return c; }
}
class TupleLDI implements Comparable<TupleLDI> {
long a; double b; int c;
TupleLDI() { }
TupleLDI(long a, double b, int c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleLDI that = (TupleLDI) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleLDI that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); if(c == 0) c = Integer.compare(this.c, that.c); return c; }
}
class TupleLDL implements Comparable<TupleLDL> {
long a; double b; long c;
TupleLDL() { }
TupleLDL(long a, double b, long c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleLDL that = (TupleLDL) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleLDL that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); if(c == 0) c = Long.compare(this.c, that.c); return c; }
}
class TupleLDD implements Comparable<TupleLDD> {
long a; double b; double c;
TupleLDD() { }
TupleLDD(long a, double b, double c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleLDD that = (TupleLDD) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleLDD that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); if(c == 0) c = Double.compare(this.c, that.c); return c; }
}
class TupleDII implements Comparable<TupleDII> {
double a; int b; int c;
TupleDII() { }
TupleDII(double a, int b, int c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleDII that = (TupleDII) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleDII that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); if(c == 0) c = Integer.compare(this.c, that.c); return c; }
}
class TupleDIL implements Comparable<TupleDIL> {
double a; int b; long c;
TupleDIL() { }
TupleDIL(double a, int b, long c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleDIL that = (TupleDIL) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleDIL that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); if(c == 0) c = Long.compare(this.c, that.c); return c; }
}
class TupleDID implements Comparable<TupleDID> {
double a; int b; double c;
TupleDID() { }
TupleDID(double a, int b, double c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleDID that = (TupleDID) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleDID that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); if(c == 0) c = Double.compare(this.c, that.c); return c; }
}
class TupleDLI implements Comparable<TupleDLI> {
double a; long b; int c;
TupleDLI() { }
TupleDLI(double a, long b, int c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleDLI that = (TupleDLI) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleDLI that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); if(c == 0) c = Integer.compare(this.c, that.c); return c; }
}
class TupleDLL implements Comparable<TupleDLL> {
double a; long b; long c;
TupleDLL() { }
TupleDLL(double a, long b, long c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleDLL that = (TupleDLL) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleDLL that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); if(c == 0) c = Long.compare(this.c, that.c); return c; }
}
class TupleDLD implements Comparable<TupleDLD> {
double a; long b; double c;
TupleDLD() { }
TupleDLD(double a, long b, double c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleDLD that = (TupleDLD) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleDLD that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); if(c == 0) c = Double.compare(this.c, that.c); return c; }
}
class TupleDDI implements Comparable<TupleDDI> {
double a; double b; int c;
TupleDDI() { }
TupleDDI(double a, double b, int c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleDDI that = (TupleDDI) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleDDI that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); if(c == 0) c = Integer.compare(this.c, that.c); return c; }
}
class TupleDDL implements Comparable<TupleDDL> {
double a; double b; long c;
TupleDDL() { }
TupleDDL(double a, double b, long c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleDDL that = (TupleDDL) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleDDL that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); if(c == 0) c = Long.compare(this.c, that.c); return c; }
}
class TupleDDD implements Comparable<TupleDDD> {
double a; double b; double c;
TupleDDD() { }
TupleDDD(double a, double b, double c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleDDD that = (TupleDDD) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleDDD that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); if(c == 0) c = Double.compare(this.c, that.c); return c; }
}
public void solve() {
int n = ni();
int m = ni();
if(m == 0) exit(n - 1);
boolean b1[] = nb(n + m, '1');
boolean b2[] = nb(n + m, '1');
long sum1[] = sums(b1);
long sum2[] = sums(b2);
long max = 0;
for(int start = 0; start < 2; start ++) {
int prv = start;
long cnt = start;
long ans = 0;
if(max(sum1[1], sum2[1]) < start) continue;
for(int i = 2; i <= n + m; i ++) {
if(cnt < min(sum1[i], sum2[i])) {
cnt ++;
if(prv == 1) ans ++;
prv = 1;
}else if(cnt == max(sum1[i], sum2[i])) {
if(prv == 0) ans ++;
prv = 0;
}else {
cnt += prv;
ans ++;
}
}
max = max(max, ans);
}
prtln(max);
}
}
}
import java.util.*;
import java.io.*;
import java.math.*;
import java.util.function.*;
public class Main implements Runnable {
static boolean DEBUG;
public static void main(String[] args) {
DEBUG = args.length > 0 && args[0].equals("-DEBUG");
Thread.setDefaultUncaughtExceptionHandler((t, e) -> { e.printStackTrace(); System.exit(1); });
new Thread(null, new Main(), "", 1 << 31).start();
}
public void run() { Solver solver = new Solver(); solver.solve(); solver.exit(); }
static class FastScanner {
private final InputStream in = System.in;
private final byte[] buffer = new byte[1024];
private int pointer = 0;
private int buflen = 0;
private boolean hasNextByte() {
if(pointer < buflen) return true;
else {
pointer = 0;
try { buflen = in.read(buffer);
}catch (IOException e) { e.printStackTrace(); }
return buflen > 0;
}
}
private int readByte() { if(hasNextByte()) return buffer[pointer ++]; else return -1; }
private boolean isPrintableChar(int c) { return isPrintableChar(c, false); }
private boolean isPrintableChar(int c, boolean includingSpace) { return (includingSpace ? 32 : 33) <= c && c <= 126; }
private void skipUnprintable() { skipUnprintable(false); }
private void skipUnprintable(boolean includingSpace) { while(hasNextByte() && !isPrintableChar(buffer[pointer], includingSpace)) pointer ++; }
private boolean hasNext() { return hasNext(false); }
private boolean hasNext(boolean includingSpace) { skipUnprintable(includingSpace); return hasNextByte(); }
private StringBuilder sb = new StringBuilder();
public String next() { return next(false); }
public String next(boolean includingSpace) {
if(!hasNext(includingSpace)) throw new NoSuchElementException();
sb.setLength(0);
int b = readByte();
while(isPrintableChar(b, includingSpace)) { sb.appendCodePoint(b); b = readByte(); }
return sb.toString();
}
public long nextLong() {
if(!hasNext()) throw new NoSuchElementException();
long n = 0;
boolean minus = false;
int b = readByte();
if(b == '-') { minus = true; b = readByte(); }
if(b < '0' || '9' < b) throw new NumberFormatException();
while(true) {
if('0' <= b && b <= '9') n = n * 10 + b - '0';
else if(b == -1 || !isPrintableChar(b)) return minus ? - n : n;
else throw new NumberFormatException();
b = readByte();
}
}
}
static class Solver {
final FastScanner sc = new FastScanner();
public Solver() { }
final String ns() { return ns(false); }
final String ns(boolean includingSpace) { return sc.next(includingSpace); }
final String[] ns(int n) { return ns(n, false); }
final String[] ns(int n, boolean includingSpace) { String a[] = new String[n]; for(int i = 0; i < n; i ++) a[i] = ns(includingSpace); return a; }
final String[][] ns(int n, int m) { return ns(n, m, false); }
final String[][] ns(int n, int m, boolean includingSpace) { String a[][] = new String[n][m]; for(int i = 0; i < n; i ++) a[i] = ns(m, includingSpace); return a; }
final char nc() { return ns().charAt(0); }
final char[] nc(int n) {
String str = ns();
if(n < 0) n = str.length();
char a[] = new char[n];
for(int i = 0; i < n; i ++) a[i] = str.charAt(i);
return a;
}
final char[][] nc(int n, int m) { char a[][] = new char[n][m]; for(int i = 0; i < n; i ++) a[i] = nc(m); return a; }
final boolean[] nb(int n, char t) {
char c[] = nc(-1);
if(n < 0) n = c.length;
boolean a[] = new boolean[n];
for(int i = 0; i < n; i ++) a[i] = c[i] == t;
return a;
}
final boolean[][] nb(int n, int m, char t) { boolean a[][] = new boolean[n][m]; for(int i = 0; i < n; i ++) a[i] = nb(m, t); return a; }
final int ni() { return Math.toIntExact(sc.nextLong()); }
final int[] ni(int n) { int a[] = new int[n]; for(int i = 0; i < n; i ++) a[i] = ni(); return a; }
final int[][] ni(int n, int m) { int a[][] = new int[n][m]; for(int i = 0; i < n; i ++) a[i] = ni(m); return a; }
final long nl() { return sc.nextLong(); }
final long[] nl(int n) { long a[] = new long[n]; for(int i = 0; i < n; i ++) a[i] = nl(); return a; }
final long[][] nl(int n, int m) { long a[][] = new long[n][m]; for(int i = 0; i < n; i ++) a[i] = nl(m); return a; }
final double nd() { return Double.parseDouble(sc.next()); }
final double[] nd(int n) { double a[] = new double[n]; for(int i = 0; i < n; i ++) a[i] = nd(); return a; }
final double[][] nd(int n, int m) { double a[][] = new double[n][m]; for(int i = 0; i < n; i ++) a[i] = nd(m); return a; }
final String booleanToString(boolean b) { return b ? "#" : "."; }
final PrintWriter out = new PrintWriter(System.out);
final PrintWriter err = new PrintWriter(System.err);
final StringBuilder sb4prtln = new StringBuilder();
final void prt() { out.print(""); }
final <T> void prt(T a) { out.print(a); }
final void prtln() { out.println(""); }
final <T> void prtln(T a) { out.println(a); }
final void prtln(int... a) { sb4prtln.setLength(0); for(int ele : a) { sb4prtln.append(ele); sb4prtln.append(" "); } sb4prtln.deleteCharAt(sb4prtln.length() - 1); prtln(sb4prtln); }
final void prtln(long... a) { sb4prtln.setLength(0); for(long ele : a) { sb4prtln.append(ele); sb4prtln.append(" "); } sb4prtln.deleteCharAt(sb4prtln.length() - 1); prtln(sb4prtln); }
final void prtln(double... a) { sb4prtln.setLength(0); for(double ele : a) { sb4prtln.append(ele); sb4prtln.append(" "); } sb4prtln.deleteCharAt(sb4prtln.length() - 1); prtln(sb4prtln); }
final void prtln(String... a) { sb4prtln.setLength(0); for(String ele : a) { sb4prtln.append(ele); sb4prtln.append(" "); } sb4prtln.deleteCharAt(sb4prtln.length() - 1); prtln(sb4prtln); }
final void prtln(char... a) { sb4prtln.setLength(0); for(char ele : a) sb4prtln.append(ele); prtln(sb4prtln); }
final void prtln(boolean... a) { sb4prtln.setLength(0); for(boolean ele : a) sb4prtln.append(booleanToString(ele)); prtln(sb4prtln); }
final void prtlns(int... a) { sb4prtln.setLength(0); for(int ele : a) { sb4prtln.append(ele); sb4prtln.append("\n"); } prt(sb4prtln); }
final void prtlns(long... a) { sb4prtln.setLength(0); for(long ele : a) { sb4prtln.append(ele); sb4prtln.append("\n"); } prt(sb4prtln); }
final void prtlns(double... a) { sb4prtln.setLength(0); for(double ele : a) { sb4prtln.append(ele); sb4prtln.append("\n"); } prt(sb4prtln); }
final void prtlns(String... a) { sb4prtln.setLength(0); for(String ele : a) { sb4prtln.append(ele); sb4prtln.append("\n"); } prt(sb4prtln); }
final void prtlns(char... a) { sb4prtln.setLength(0); for(char ele : a) { sb4prtln.append(ele); sb4prtln.append("\n"); } prt(sb4prtln); }
final void prtlns(boolean... a) { sb4prtln.setLength(0); for(boolean ele : a) { sb4prtln.append(booleanToString(ele)); sb4prtln.append("\n"); } prt(sb4prtln); }
final void prtln(int[][] a) { for(int[] ele : a) prtln(ele); }
final void prtln(long[][] a) { for(long[] ele : a) prtln(ele); }
final void prtln(double[][] a) { for(double[] ele : a) prtln(ele); }
final void prtln(String[][] a) { for(String[] ele : a) prtln(ele); }
final void prtln(char[][] a) { for(char[] ele : a) prtln(ele); }
final void prtln(boolean[][] a) { for(boolean[] ele : a) prtln(ele); }
final String errconvert(int a) { return isINF(a) ? "_" : String.valueOf(a); }
final String errconvert(long a) { return isINF(a) ? "_" : String.valueOf(a); }
final void errprt(int a) { if(DEBUG) err.print(errconvert(a)); }
final void errprt(long a) { if(DEBUG) err.print(errconvert(a)); }
final void errprt() { if(DEBUG) err.print(""); }
final <T> void errprt(T a) { if(DEBUG) err.print(a); }
final void errprt(boolean a) { if(DEBUG) errprt(booleanToString(a)); }
final void errprtln() { if(DEBUG) err.println(""); }
final void errprtln(int a) { if(DEBUG) err.println(errconvert(a)); }
final void errprtln(long a) { if(DEBUG) err.println(errconvert(a)); }
final <T> void errprtln(T a) { if(DEBUG) err.println(a); }
final void errprtln(boolean a) { if(DEBUG) errprtln(booleanToString(a)); }
final void errprtln(int... a) { if(DEBUG) { sb4prtln.setLength(0); for(int ele : a) { sb4prtln.append(errconvert(ele)); sb4prtln.append(" "); } errprtln(sb4prtln.toString().trim()); } }
final void errprtln(long... a) { if(DEBUG) { sb4prtln.setLength(0); for(long ele : a) { sb4prtln.append(errconvert(ele)); sb4prtln.append(" "); } errprtln(sb4prtln.toString().trim()); } }
final void errprtln(double... a) { if(DEBUG) { sb4prtln.setLength(0); for(double ele : a) { sb4prtln.append(ele); sb4prtln.append(" "); } errprtln(sb4prtln.toString().trim()); } }
final void errprtln(String... a) { if(DEBUG) { sb4prtln.setLength(0); for(String ele : a) { sb4prtln.append(ele); sb4prtln.append(" "); } errprtln(sb4prtln.toString().trim()); } }
final void errprtln(char... a) { if(DEBUG) { sb4prtln.setLength(0); for(char ele : a) sb4prtln.append(ele); errprtln(sb4prtln.toString()); } }
final void errprtln(boolean... a) { if(DEBUG) { sb4prtln.setLength(0); for(boolean ele : a) sb4prtln.append(booleanToString(ele)); errprtln(sb4prtln.toString()); } }
final void errprtlns(int... a) { if(DEBUG) { sb4prtln.setLength(0); for(int ele : a) { sb4prtln.append(errconvert(ele)); sb4prtln.append("\n"); } errprt(sb4prtln.toString()); } }
final void errprtlns(long... a) { if(DEBUG) { sb4prtln.setLength(0); for(long ele : a) { sb4prtln.append(errconvert(ele)); sb4prtln.append("\n"); } errprt(sb4prtln.toString()); } }
final void errprtlns(double... a) { if(DEBUG) { sb4prtln.setLength(0); for(double ele : a) { sb4prtln.append(ele); sb4prtln.append("\n"); } errprt(sb4prtln.toString()); } }
final void errprtlns(String... a) { if(DEBUG) { sb4prtln.setLength(0); for(String ele : a) { sb4prtln.append(ele); sb4prtln.append("\n"); } errprt(sb4prtln.toString()); } }
final void errprtlns(char... a) { if(DEBUG) { sb4prtln.setLength(0); for(char ele : a) { sb4prtln.append(ele); sb4prtln.append("\n"); } errprt(sb4prtln.toString()); } }
final void errprtlns(boolean... a) { if(DEBUG) { sb4prtln.setLength(0); for(boolean ele : a) { sb4prtln.append(booleanToString(ele)); sb4prtln.append("\n"); } errprt(sb4prtln.toString()); } }
final void errprtln(Object[] a) { if(DEBUG) for(Object ele : a) errprtln(ele); }
final void errprtln(int[][] a) { if(DEBUG) for(int[] ele : a) errprtln(ele); }
final void errprtln(long[][] a) { if(DEBUG) for(long[] ele : a) errprtln(ele); }
final void errprtln(double[][] a) { if(DEBUG) for(double[] ele : a) errprtln(ele); }
final void errprtln(String[][] a) { if(DEBUG) for(String[] ele : a) errprtln(ele); }
final void errprtln(char[][] a) { if(DEBUG) for(char[] ele : a) errprtln(ele); }
final void errprtln(boolean[][] a) { if(DEBUG) for(boolean[] ele : a) errprtln(ele); }
final void errprtln(Object[][] a) { if(DEBUG) for(Object ele : a) { errprtln(ele); errprtln(); } }
final void reply(boolean b) { prtln(b ? "Yes" : "No"); }
final void REPLY(boolean b) { prtln(b ? "YES" : "NO"); }
final void flush() { out.flush(); if(DEBUG) err.flush(); }
final void assertion(boolean b) { if(!b) { flush(); throw new AssertionError(); } }
final <T> void assertion(boolean b, T a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, int... a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, long... a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, double... a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, String... a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, char... a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, boolean... a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, int[][] a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, long[][] a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, double[][] a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, String[][] a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, char[][] a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void assertion(boolean b, boolean[][] a) { if(!b) { errprtln(a); flush(); throw new AssertionError(); } }
final void inclusiveRangeCheck(int i, int max) { inclusiveRangeCheck(i, 0, max); }
final void inclusiveRangeCheck(int i, int min, int max) { rangeCheck(i, min, max + 1); }
final void inclusiveRangeCheck(long i, long max) { inclusiveRangeCheck(i, 0, max); }
final void inclusiveRangeCheck(long i, long min, long max) { rangeCheck(i, min, max + 1); }
final void rangeCheck(int i, int max) { rangeCheck(i, 0, max); }
final void rangeCheck(int i, int min, int max) { if(i < min || i >= max) throw new IndexOutOfBoundsException(String.format("Index %d out of bounds for length %d", i, max)); }
final void rangeCheck(long i, long max) { rangeCheck(i, 0, max); }
final void rangeCheck(long i, long min, long max) { if(i < min || i >= max) throw new IndexOutOfBoundsException(String.format("Index %d out of bounds for length %d", i, max)); }
final void nonNegativeCheck(long x) { nonNegativeCheck(x, "the argument"); }
final void nonNegativeCheck(long x, String attribute) { if(x < 0) throw new IllegalArgumentException(String.format("%s %d is negative", attribute, x)); }
final void positiveCheck(long x) { positiveCheck(x, "the argument"); }
final void positiveCheck(long x, String attribute) { if(x <= 0) throw new IllegalArgumentException(String.format("%s %d is negative", attribute, x)); }
final void exit() { flush(); System.exit(0); }
final <T> void exit(T a) { prtln(a); exit(); }
final void exit(int... a) { prtln(a); exit(); }
final void exit(long... a) { prtln(a); exit(); }
final void exit(double... a) { prtln(a); exit(); }
final void exit(String... a) { prtln(a); exit(); }
final void exit(char... a) { prtln(a); exit(); }
final void exit(boolean... a) { prtln(a); exit(); }
final void exit(int[][] a) { prtln(a); exit(); }
final void exit(long[][] a) { prtln(a); exit(); }
final void exit(double[][] a) { prtln(a); exit(); }
final void exit(String[][] a) { prtln(a); exit(); }
final void exit(char[][] a) { prtln(a); exit(); }
final void exit(boolean[][] a) { prtln(a); exit(); }
final long INF = (long)1e18 + 7;
final boolean isPlusINF(long a) { return a > INF / 10; }
final boolean isMinusINF(long a) { return isPlusINF(- a); }
final boolean isINF(long a) { return isPlusINF(a) || isMinusINF(a); }
final int I_INF = (int)1e9 + 7;
final boolean isPlusINF(int a) { return a > I_INF / 10; }
final boolean isMinusINF(int a) { return isPlusINF(- a); }
final boolean isINF(int a) { return isPlusINF(a) || isMinusINF(a); }
final int min(int a, int b) { return Math.min(a, b); }
final long min(long a, long b) { return Math.min(a, b); }
final double min(double a, double b) { return Math.min(a, b); }
final <T extends Comparable<T>> T min(T a, T b) { return a.compareTo(b) <= 0 ? a : b; }
final int min(int... x) { int min = x[0]; for(int val : x) min = min(min, val); return min; }
final long min(long... x) { long min = x[0]; for(long val : x) min = min(min, val); return min; }
final double min(double... x) { double min = x[0]; for(double val : x) min = min(min, val); return min; }
final int max(int a, int b) { return Math.max(a, b); }
final long max(long a, long b) { return Math.max(a, b); }
final double max(double a, double b) { return Math.max(a, b); }
final <T extends Comparable<T>> T max(T a, T b) { return a.compareTo(b) >= 0 ? a : b; }
final int max(int... x) { int max = x[0]; for(int val : x) max = max(max, val); return max; }
final long max(long... x) { long max = x[0]; for(long val : x) max = max(max, val); return max; }
final double max(double... x) { double max = x[0]; for(double val : x) max = max(max, val); return max; }
final <T extends Comparable<T>> T max(T[] x) { T max = x[0]; for(T val : x) max = max(max, val); return max; }
final int max(int[][] a) { int max = a[0][0]; for(int[] ele : a) max = max(max, max(ele)); return max; }
final long max(long[][] a) { long max = a[0][0]; for(long[] ele : a) max = max(max, max(ele)); return max; }
final double max(double[][] a) { double max = a[0][0]; for(double[] ele : a) max = max(max, max(ele)); return max; }
final <T extends Comparable<T>> T max(T[][] a) { T max = a[0][0]; for(T[] ele : a) max = max(max, max(ele)); return max; }
final long sum(int... a) { long sum = 0; for(int ele : a) sum += ele; return sum; }
final long sum(long... a) { long sum = 0; for(long ele : a) sum += ele; return sum; }
final double sum(double... a) { double sum = 0; for(double ele : a) sum += ele; return sum; }
final long sum(boolean... a) { long sum = 0; for(boolean ele : a) sum += ele ? 1 : 0; return sum; }
final long[] sums(int[] a) { long sum[] = new long[a.length + 1]; sum[0] = 0; for(int i = 0; i < a.length; i ++) sum[i + 1] = sum[i] + a[i]; return sum; }
final long[] sums(long[] a) { long sum[] = new long[a.length + 1]; sum[0] = 0; for(int i = 0; i < a.length; i ++) sum[i + 1] = sum[i] + a[i]; return sum; }
final double[] sums(double[] a) { double sum[] = new double[a.length + 1]; sum[0] = 0; for(int i = 0; i < a.length; i ++) sum[i + 1] = sum[i] + a[i]; return sum; }
final long[] sums(boolean[] a) { long sum[] = new long[a.length + 1]; sum[0] = 0; for(int i = 0; i < a.length; i ++) sum[i + 1] = sum[i] + (a[i] ? 1 : 0); return sum; }
final long[][] sums(int[][] a) {
long sum[][] = new long[a.length + 1][a[0].length + 1];
for(int i = 0; i < a.length; i ++) {
for(int j = 0; j < a[i].length; j ++) sum[i + 1][j + 1] = sum[i + 1][j] + sum[i][j + 1] - sum[i][j] + a[i][j];
}
return sum;
}
final long[][] sums(long[][] a) {
long sum[][] = new long[a.length + 1][a[0].length + 1];
for(int i = 0; i < a.length; i ++) {
for(int j = 0; j < a[i].length; j ++) sum[i + 1][j + 1] = sum[i + 1][j] + sum[i][j + 1] - sum[i][j] + a[i][j];
}
return sum;
}
final double[][] sums(double[][] a) {
double sum[][] = new double[a.length + 1][a[0].length + 1];
for(int i = 0; i < a.length; i ++) {
for(int j = 0; j < a[i].length; j ++) sum[i + 1][j + 1] = sum[i + 1][j] + sum[i][j + 1] - sum[i][j] + a[i][j];
}
return sum;
}
final long[][] sums(boolean[][] a) {
long sum[][] = new long[a.length + 1][a[0].length + 1];
for(int i = 0; i < a.length; i ++) {
for(int j = 0; j < a[i].length; j ++) sum[i + 1][j + 1] = sum[i + 1][j] + sum[i][j + 1] - sum[i][j] + (a[i][j] ? 1 : 0);
}
return sum;
}
final int constrain(int x, int l, int r) { return min(max(x, min(l, r)), max(l, r)); }
final long constrain(long x, long l, long r) { return min(max(x, min(l, r)), max(l, r)); }
final double constrain(double x, double l, double r) { return min(max(x, min(l, r)), max(l, r)); }
final int abs(int x) { return x >= 0 ? x : - x; }
final long abs(long x) { return x >= 0 ? x : - x; }
final double abs(double x) { return x >= 0 ? x : - x; }
final int signum(int x) { return x > 0 ? 1 : x < 0 ? -1 : 0; }
final int signum(long x) { return x > 0 ? 1 : x < 0 ? -1 : 0; }
final int signum(double x) { return x > 0 ? 1 : x < 0 ? -1 : 0; }
final long round(double x) { return Math.round(x); }
final long floor(double x) { return round(Math.floor(x)); }
final int divfloor(int a, int b) { return signum(a) == signum(b) ? a / b : - divceil(abs(a), abs(b)); }
final long divfloor(long a, long b) { return signum(a) == signum(b) ? a / b : - divceil(abs(a), abs(b)); }
final long ceil(double x) { return round(Math.ceil(x)); }
final int divceil(int a, int b) { return a >= 0 && b > 0 ? (a + b - 1) / b : a < 0 && b < 0 ? divceil(abs(a), abs(b)) : - divfloor(abs(a), abs(b)); }
final long divceil(long a, long b) { return a >= 0 && b > 0 ? (a + b - 1) / b : a < 0 && b < 0 ? divceil(abs(a), abs(b)) : - divfloor(abs(a), abs(b)); }
final boolean mulGreater(long a, long b, long c) { return b == 0 ? c < 0 : b < 0 ? mulLess(a, - b, - c) : a > divfloor(c, b); } // a * b > c
final boolean mulGreaterEquals(long a, long b, long c) { return b == 0 ? c <= 0 : b < 0 ? mulLessEquals(a, - b, - c) : a >= divceil(c, b); } // a * b >= c
final boolean mulLess(long a, long b, long c) { return !mulGreaterEquals(a, b, c); } // a * b < c
final boolean mulLessEquals(long a, long b, long c) { return !mulGreater(a, b, c); } // a * b <= c
final double sqrt(int x) { return Math.sqrt((double)x); }
final double sqrt(long x) { return Math.sqrt((double)x); }
final double sqrt(double x) { return Math.sqrt(x); }
final int floorsqrt(int x) { int s = (int)floor(sqrt(x)) + 1; while(s * s > x) s --; return s; }
final long floorsqrt(long x) { long s = floor(sqrt(x)) + 1; while(s * s > x) s --; return s; }
final int ceilsqrt(int x) { int s = (int)ceil(sqrt(x)); while(s * s >= x) s --; s ++; return s; }
final long ceilsqrt(long x) { long s = ceil(sqrt(x)); while(s * s >= x) s --; s ++; return s; }
final long fact(int n) { long ans = 1; for(int i = 1; i <= n; i ++) ans = Math.multiplyExact(ans, i); return ans; }
final long naiveP(long n, long r) { long ans = 1; for(int i = 0; i < r; i ++) ans = Math.multiplyExact(ans, n - i); return ans; }
final long naiveC(long n, long r) { long ans = 1; for(int i = 0; i < r; i ++) { ans = Math.multiplyExact(ans, n - i); ans /= (i + 1); } return ans; }
final double pow(double x, double y) { return Math.pow(x, y); }
final long pow(long x, long y) {
long ans = 1;
while(true) {
if((y & 1) != 0) ans = Math.multiplyExact(ans, x);
y >>= 1;
if(y <= 0) return ans;
x = Math.multiplyExact(x, x);
}
}
final double pow(double x, long y) {
double ans = 1;
while(true) {
if((y & 1) != 0) ans *= x;
y >>= 1;
if(y <= 0) return ans;
x *= x;
}
}
final int gcd(int a, int b) { while(true) { if(b == 0) return a; int tmp = a; a = b; b = tmp % b; } }
final long gcd(long a, long b) { while(true) { if(b == 0) return a; long tmp = a; a = b; b = tmp % b; } }
final long lcm(long a, long b) { return a / gcd(a, b) * b; }
final int gcd(int... a) { int gcd = 0; for(int i = 0; i < a.length; i ++) gcd = gcd(gcd, a[i]); return gcd; }
final long gcd(long... a) { long gcd = 0; for(int i = 0; i < a.length; i ++) gcd = gcd(gcd, a[i]); return gcd; }
final double random() { return Math.random(); }
final int random(int max) { return (int)floor(random() * max); }
final long random(long max) { return floor(random() * max); }
final double random(double max) { return random() * max; }
final int random(int min, int max) { return random(max - min) + min; }
final long random(long min, long max) { return random(max - min) + min; }
final double random(double min, double max) { return random(max - min) + min; }
final boolean isUpper(char a) { return a >= 'A' && a <= 'Z'; }
final boolean isLower(char a) { return a >= 'a' && a <= 'z'; }
final int upperToInt(char a) { return a - 'A'; }
final int lowerToInt(char a) { return a - 'a'; }
final int numToInt(char a) { return a - '0'; }
final int charToInt(char a) { return isLower(a) ? lowerToInt(a) : isUpper(a) ? upperToInt(a) : numToInt(a); }
final int alphabetToInt(char a) { return isLower(a) ? lowerToInt(a) : isUpper(a) ? upperToInt(a) + 26 : 52; }
final char intToUpper(int a) { return (char)(a + 'A'); }
final char intToLower(int a) { return (char)(a + 'a'); }
final char intToNum(int a) { return (char)(a + '0'); }
final int[] charToInt(char[] a) { int array[] = new int[a.length]; for(int i = 0; i < a.length; i ++) array[i] = charToInt(a[i]); return array; }
final long[] div(long a) {
nonNegativeCheck(a);
List<Long> divList = new ArrayList<>();
for(long i = 1; i * i <= a; i ++) if(a % i == 0) { divList.add(i); if(i * i != a) divList.add(a / i); }
long div[] = new long[divList.size()];
for(int i = 0; i < divList.size(); i ++) div[i] = divList.get(i);
Arrays.sort(div);
return div;
}
final PairLL[] factor(long a) {
nonNegativeCheck(a);
List<PairLL> factorList = new ArrayList<>();
for(long i = 2; i * i <= a; i ++) {
if(a % i == 0) {
long cnt = 0;
while(a % i == 0) { a /= i; cnt ++; }
factorList.add(new PairLL(i, cnt));
}
}
if(a > 1) factorList.add(new PairLL(a, 1));
PairLL factor[] = new PairLL[factorList.size()];
for(int i = 0; i < factorList.size(); i ++) factor[i] = factorList.get(i);
Arrays.sort(factor);
return factor;
}
final boolean isPrime(long x) { boolean ok = x > 1; for(long i = 2; i * i <= x; i ++) { ok &= x % i != 0; if(!ok) return ok; } return ok; }
final boolean[] prime(int num) {
nonNegativeCheck(num);
boolean prime[] = new boolean[num];
fill(prime, true);
if(num > 0) prime[0] = false;
if(num > 1) prime[1] = false;
for(int i = 2; i < num; i ++) if(prime[i]) for(int j = 2; i * j < num; j ++) prime[i * j] = false;
return prime;
}
final PairIL[] countElements(int[] a, boolean sort) {
int len = a.length;
int array[] = new int[len];
for(int i = 0; i < len; i ++) array[i] = a[i];
if(sort) Arrays.sort(array);
List<PairIL> cntsList = new ArrayList<>();
long tmp = 1;
for(int i = 1; i <= len; i ++) {
if(i == len || array[i] != array[i - 1]) {
cntsList.add(new PairIL(array[i - 1], tmp));
tmp = 1;
}else tmp ++;
}
PairIL cnts[] = new PairIL[cntsList.size()];
for(int i = 0; i < cntsList.size(); i ++) cnts[i] = cntsList.get(i);
return cnts;
}
final PairLL[] countElements(long[] a, boolean sort) {
int len = a.length;
long array[] = new long[len];
for(int i = 0; i < len; i ++) array[i] = a[i];
if(sort) Arrays.sort(array);
List<PairLL> cntsList = new ArrayList<>();
long tmp = 1;
for(int i = 1; i <= len; i ++) {
if(i == len || array[i] != array[i - 1]) {
cntsList.add(new PairLL(array[i - 1], tmp));
tmp = 1;
}else tmp ++;
}
PairLL cnts[] = new PairLL[cntsList.size()];
for(int i = 0; i < cntsList.size(); i ++) cnts[i] = cntsList.get(i);
return cnts;
}
final PairIL[] countElements(String s, boolean sort) {
int len = s.length();
char array[] = s.toCharArray();
if(sort) Arrays.sort(array);
List<PairIL> cntsList = new ArrayList<>();
long tmp = 1;
for(int i = 1; i <= len; i ++) {
if(i == len || array[i] != array[i - 1]) {
cntsList.add(new PairIL((int)array[i - 1], tmp));
tmp = 1;
}else tmp ++;
}
PairIL cnts[] = new PairIL[cntsList.size()];
for(int i = 0; i < cntsList.size(); i ++) cnts[i] = cntsList.get(i);
return cnts;
}
long triangular(long n) { return n * (n + 1) / 2; }
long arctriangularfloor(long m) {
long n = (floor(sqrt(m * 8 + 1)) - 1) / 2 + 1;
while(triangular(n) > m) n --;
return n;
}
long arctriangularceil(long m) {
long n = max(0, (ceil(sqrt(m * 8 + 1)) + 1) / 2 - 1);
while(triangular(n) < m) n ++;
return n;
}
final int[] baseConvert(long x, int n, int len) { nonNegativeCheck(x); nonNegativeCheck(n); nonNegativeCheck(len); int digit[] = new int[len]; int i = 0; long tmp = x; while(tmp > 0 && i < len) { digit[i ++] = (int)(tmp % n); tmp /= n; } return digit; }
final int[] baseConvert(long x, int n) { nonNegativeCheck(x); nonNegativeCheck(n); long tmp = x; int len = 0; while(tmp > 0) { tmp /= n; len ++; } return baseConvert(x, n, len); }
final int[] baseConvert(int x, int n, int len) { nonNegativeCheck(x); nonNegativeCheck(n); nonNegativeCheck(len); int digit[] = new int[len]; int i = 0; int tmp = x; while(tmp > 0 && i < len) { digit[i ++] = (int)(tmp % n); tmp /= n; } return digit; }
final int[] baseConvert(int x, int n) { nonNegativeCheck(x); nonNegativeCheck(n); int tmp = x; int len = 0; while(tmp > 0) { tmp /= n; len ++; } return baseConvert(x, n, len); }
final long[] baseConvert(long x, long n, int len) { nonNegativeCheck(x); nonNegativeCheck(n); nonNegativeCheck(len); long digit[] = new long[len]; int i = 0; long tmp = x; while(tmp > 0 && i < len) { digit[i ++] = tmp % n; tmp /= n; } return digit; }
final long[] baseConvert(long x, long n) { nonNegativeCheck(x); nonNegativeCheck(n); long tmp = x; int len = 0; while(tmp > 0) { tmp /= n; len ++; } return baseConvert(x, n, len); }
final int numDigits(long a) { nonNegativeCheck(a); return Long.toString(a).length(); }
final long bitFlag(int a) { nonNegativeCheck(a); return 1L << (long)a; }
final boolean isFlagged(long x, int a) { nonNegativeCheck(x); nonNegativeCheck(a); return (x & bitFlag(a)) != 0; }
final long countString(String s, String a) { return (s.length() - s.replace(a, "").length()) / a.length(); }
final long countStringAll(String s, String a) { return s.length() - s.replaceAll(a, "").length(); }
final String reverse(String s) { return (new StringBuilder(s)).reverse().toString(); }
final String[] reverse(String[] a) { for(int i = 0; i < a.length / 2; i ++) swap(a, i, a.length - i - 1); return a; }
final int[] reverse(int[] a) { for(int i = 0; i < a.length / 2; i ++) swap(a, i, a.length - i - 1); return a; }
final long[] reverse(long[] a) { for(int i = 0; i < a.length / 2; i ++) swap(a, i, a.length - i - 1); return a; }
final double[] reverse(double[] a) { for(int i = 0; i < a.length / 2; i ++) swap(a, i, a.length - i - 1); return a; }
final char[] reverse(char[] a) { for(int i = 0; i < a.length / 2; i ++) swap(a, i, a.length - i - 1); return a; }
final boolean[] reverse(boolean[] a) { for(int i = 0; i < a.length / 2; i ++) swap(a, i, a.length - i - 1); return a; }
final <T> T[] reverse(T[] a) { for(int i = 0; i < a.length / 2; i ++) swap(a, i, a.length - i - 1); return a; }
final void fill(int[] a, int x) { Arrays.fill(a, x); }
final void fill(long[] a, long x) { Arrays.fill(a, x); }
final void fill(double[] a, double x) { Arrays.fill(a, x); }
final void fill(char[] a, char x) { Arrays.fill(a, x); }
final void fill(boolean[] a, boolean x) { Arrays.fill(a, x); }
final void fill(int[][] a, int x) { for(int[] ele : a) fill(ele, x); }
final void fill(long[][] a, long x) { for(long[] ele : a) fill(ele, x); }
final void fill(double[][] a, double x) { for(double[] ele : a) fill(ele, x); }
final void fill(char[][] a, char x) { for(char[] ele : a) fill(ele, x); }
final void fill(boolean[][] a, boolean x) { for(boolean[] ele : a) fill(ele, x); }
final void fill(int[][][] a, int x) { for(int[][] ele : a) fill(ele, x); }
final void fill(long[][][] a, long x) { for(long[][] ele : a) fill(ele, x); }
final void fill(double[][][] a, double x) { for(double[][] ele : a) fill(ele, x); }
final void fill(char[][][] a, char x) { for(char[][] ele : a) fill(ele, x); }
final void fill(boolean[][][] a, boolean x) { for(boolean[][] ele : a) fill(ele, x); }
final int[] resize(int[] a, int m, int x) { nonNegativeCheck(m); int resized[] = new int[m]; for(int i = max(0, - x); i < a.length && i + x < m; i ++) resized[i + x] = a[i]; return resized; }
final long[] resize(long[] a, int m, int x) { nonNegativeCheck(m); long resized[] = new long[m]; for(int i = max(0, - x); i < a.length && i + x < m; i ++) resized[i + x] = a[i]; return resized; }
final double[] resize(double[] a, int m, int x) { nonNegativeCheck(m); double resized[] = new double[m]; for(int i = max(0, - x); i < a.length && i + x < m; i ++) resized[i + x] = a[i]; return resized; }
final char[] resize(char[] a, int m, int x) { nonNegativeCheck(m); char resized[] = new char[m]; for(int i = max(0, - x); i < a.length && i + x < m; i ++) resized[i + x] = a[i]; return resized; }
final boolean[] resize(boolean[] a, int m, int x) { nonNegativeCheck(m); boolean resized[] = new boolean[m]; for(int i = max(0, - x); i < a.length && i + x < m; i ++) resized[i + x] = a[i]; return resized; }
final Object[] resize(Object[] a, int m, int x) { nonNegativeCheck(m); Object resized[] = new Object[m]; for(int i = max(0, - x); i < a.length && i + x < m; i ++) resized[i + x] = a[i]; return resized; }
final int[] toIntArray(List<Integer> list) { int a[] = new int[list.size()]; int idx = 0; for(int ele : list) a[idx ++] = ele; return a; }
final long[] toLongArray(List<Long> list) { long a[] = new long[list.size()]; int idx = 0; for(long ele : list) a[idx ++] = ele; return a; }
final double[] toDoubleArray(List<Double> list) { double a[] = new double[list.size()]; int idx = 0; for(double ele : list) a[idx ++] = ele; return a; }
final char[] toCharArray(List<Character> list) { char a[] = new char[list.size()]; int idx = 0; for(char ele : list) a[idx ++] = ele; return a; }
final boolean[] toBooleanArray(List<Boolean> list) { boolean a[] = new boolean[list.size()]; int idx = 0; for(boolean ele : list) a[idx ++] = ele; return a; }
final String[] toStringArray(List<String> list) { String a[] = new String[list.size()]; int idx = 0; for(String ele : list) a[idx ++] = ele; return a; }
final <T> void toArray(List<T> list, T a[]) { int idx = 0; for(T ele : list) a[idx ++] = ele; }
final void shuffleArray(int[] a) { for(int i = 0; i < a.length; i ++){ int tmp = a[i]; int idx = random(i, a.length); a[i] = a[idx]; a[idx] = tmp; } }
final void shuffleArray(long[] a) { for(int i = 0; i < a.length; i ++){ long tmp = a[i]; int idx = random(i, a.length); a[i] = a[idx]; a[idx] = tmp; } }
final void shuffleArray(double[] a) { for(int i = 0; i < a.length; i ++){ double tmp = a[i]; int idx = random(i, a.length); a[i] = a[idx]; a[idx] = tmp; } }
final int[] randomi(int n, int max) { nonNegativeCheck(n); int a[] = new int[n]; for(int i = 0; i < n; i ++) a[i] = random(max); return a; }
final long[] randoml(int n, long max) { nonNegativeCheck(n); long a[] = new long[n]; for(int i = 0; i < n; i ++) a[i] = random(max); return a; }
final double[] randomd(int n, double max) { nonNegativeCheck(n); double a[] = new double[n]; for(int i = 0; i < n; i ++) a[i] = random(max); return a; }
final int[] randomi(int n, int min, int max) { nonNegativeCheck(n); int a[] = new int[n]; for(int i = 0; i < n; i ++) a[i] = random(min, max); return a; }
final long[] randoml(int n, long min, long max) { nonNegativeCheck(n); long a[] = new long[n]; for(int i = 0; i < n; i ++) a[i] = random(min, max); return a; }
final double[] randomd(int n, double min, double max) { nonNegativeCheck(n); double a[] = new double[n]; for(int i = 0; i < n; i ++) a[i] = random(min, max); return a; }
final void swap(String[] a, int i, int j) { rangeCheck(i, a.length); rangeCheck(j, a.length); String tmp = a[i]; a[i] = a[j]; a[j] = tmp; }
final void swap(int[] a, int i, int j) { rangeCheck(i, a.length); rangeCheck(j, a.length); int tmp = a[i]; a[i] = a[j]; a[j] = tmp; }
final void swap(long[] a, int i, int j) { rangeCheck(i, a.length); rangeCheck(j, a.length); long tmp = a[i]; a[i] = a[j]; a[j] = tmp; }
final void swap(double[] a, int i, int j) { rangeCheck(i, a.length); rangeCheck(j, a.length); double tmp = a[i]; a[i] = a[j]; a[j] = tmp; }
final void swap(char[] a, int i, int j) { rangeCheck(i, a.length); rangeCheck(j, a.length); char tmp = a[i]; a[i] = a[j]; a[j] = tmp; }
final void swap(boolean[] a, int i, int j) { rangeCheck(i, a.length); rangeCheck(j, a.length); boolean tmp = a[i]; a[i] = a[j]; a[j] = tmp; }
final <T> void swap(T[] a, int i, int j) { rangeCheck(i, a.length); rangeCheck(j, a.length); T tmp = a[i]; a[i] = a[j]; a[j] = tmp; }
final int[][] rotate(int[][] a) {
int[][] ans = new int[a[0].length][a.length];
for(int i = 0; i < a.length; i ++) for(int j = 0; j < a[i].length; j ++) ans[j][a.length - i - 1] = a[i][j];
return ans;
}
final long[][] rotate(long[][] a) {
long[][] ans = new long[a[0].length][a.length];
for(int i = 0; i < a.length; i ++) for(int j = 0; j < a[i].length; j ++) ans[j][a.length - i - 1] = a[i][j];
return ans;
}
final double[][] rotate(double[][] a) {
double[][] ans = new double[a[0].length][a.length];
for(int i = 0; i < a.length; i ++) for(int j = 0; j < a[i].length; j ++) ans[j][a.length - i - 1] = a[i][j];
return ans;
}
final char[][] rotate(char[][] a) {
char[][] ans = new char[a[0].length][a.length];
for(int i = 0; i < a.length; i ++) for(int j = 0; j < a[i].length; j ++) ans[j][a.length - i - 1] = a[i][j];
return ans;
}
final boolean[][] rotate(boolean[][] a) {
boolean[][] ans = new boolean[a[0].length][a.length];
for(int i = 0; i < a.length; i ++) for(int j = 0; j < a[i].length; j ++) ans[j][a.length - i - 1] = a[i][j];
return ans;
}
final Object[][] rotate(Object[][] a) {
Object[][] ans = new Object[a[0].length][a.length];
for(int i = 0; i < a.length; i ++) for(int j = 0; j < a[i].length; j ++) ans[j][a.length - i - 1] = a[i][j];
return ans;
}
final int[] compress(int[] a) {
int n = a.length;
Set<Integer> ts = new TreeSet<>();
for(int i = 0; i < n; i ++) ts.add(a[i]);
int compressed[] = new int[ts.size()];
int j = 0;
for(int x : ts) compressed[j ++] = x;
for(int i = 0; i < n; i ++) a[i] = lowerBound(compressed, a[i]);
return compressed;
}
final long[] compress(long[] a) {
int n = a.length;
Set<Long> ts = new TreeSet<>();
for(int i = 0; i < n; i ++) ts.add(a[i]);
long compressed[] = new long[ts.size()];
int j = 0;
for(long x : ts) compressed[j ++] = x;
for(int i = 0; i < n; i ++) a[i] = lowerBound(compressed, a[i]);
return compressed;
}
final double[] compress(double[] a) {
int n = a.length;
Set<Double> ts = new TreeSet<>();
for(int i = 0; i < n; i ++) ts.add(a[i]);
double compressed[] = new double[ts.size()];
int j = 0;
for(double x : ts) compressed[j ++] = x;
for(int i = 0; i < n; i ++) a[i] = lowerBound(compressed, a[i]);
return compressed;
}
final int lowerBound(int[] a, int key) { return BS(a, key, true, true, true); }
final int lowerBound(int[] a, int key, int ng, int ok) { return BS(a, key, true, true, true, ng, ok); }
final int upperBound(int[] a, int key) { return BS(a, key, true, true, false); }
final int upperBound(int[] a, int key, int ng, int ok) { return BS(a, key, true, true, false, ng, ok); }
final int cntBS(int[] a, int key, boolean asc, boolean gt, boolean eq) { return BS(a, key, asc, gt, eq, true); }
final int cntBS(int[] a, int key, boolean asc, boolean gt, boolean eq, int ng, int ok) { return BS(a, key, asc, gt, eq, true, ng, ok); }
final int BS(int[] a, int key, boolean asc, boolean gt, boolean eq) { return BS(a, key, asc, gt, eq, false); }
final int BS(int[] a, int key, boolean asc, boolean gt, boolean eq, int ng, int ok) { return BS(a, key, asc, gt, eq, false, ng, ok); }
final int BS(int[] a, int key, boolean asc, boolean gt, boolean eq, boolean cnt) { return BS(a, key, asc, gt, eq, cnt, asc ^ gt ? a.length : -1, asc ^ gt ? -1 : a.length); }
final int BS(int[] a, int key, boolean asc, boolean gt, boolean eq, boolean cnt, int ng, int ok) { int index = binarySearch(a, key, gt, eq, ng, ok); return cnt ? (int)abs(ok - index) : index; }
final int binarySearch(int[] a, int key, boolean gt, boolean eq, int ng, int ok) { while (abs(ok - ng) > 1) { int mid = (ok + ng) / 2; if(isOKforBS(a, mid, key, gt, eq)) ok = mid; else ng = mid; } return ok; }
final boolean isOKforBS(int[] a, int index, int key, boolean gt, boolean eq) { return (a[index] > key && gt) || (a[index] < key && !gt) || (a[index] == key && eq); }
final int lowerBound(long[] a, long key) { return BS(a, key, true, true, true); }
final int lowerBound(long[] a, long key, int ng, int ok) { return BS(a, key, true, true, true, ng, ok); }
final int upperBound(long[] a, long key) { return BS(a, key, true, true, false); }
final int upperBound(long[] a, long key, int ng, int ok) { return BS(a, key, true, true, false, ng, ok); }
final int cntBS(long[] a, long key, boolean asc, boolean gt, boolean eq) { return BS(a, key, asc, gt, eq, true); }
final int cntBS(long[] a, long key, boolean asc, boolean gt, boolean eq, int ng, int ok) { return BS(a, key, asc, gt, eq, true, ng, ok); }
final int BS(long[] a, long key, boolean asc, boolean gt, boolean eq) { return BS(a, key, asc, gt, eq, false); }
final int BS(long[] a, long key, boolean asc, boolean gt, boolean eq, int ng, int ok) { return BS(a, key, asc, gt, eq, false, ng, ok); }
final int BS(long[] a, long key, boolean asc, boolean gt, boolean eq, boolean cnt) { return BS(a, key, asc, gt, eq, cnt, asc ^ gt ? a.length : -1, asc ^ gt ? -1 : a.length); }
final int BS(long[] a, long key, boolean asc, boolean gt, boolean eq, boolean cnt, int ng, int ok) { int index = binarySearch(a, key, gt, eq, ng, ok); return cnt ? (int)abs(ok - index) : index; }
final int binarySearch(long[] a, long key, boolean gt, boolean eq, int ng, int ok) { while (abs(ok - ng) > 1) { int mid = (ok + ng) / 2; if(isOKforBS(a, mid, key, gt, eq)) ok = mid; else ng = mid; } return ok; }
final boolean isOKforBS(long[] a, int index, long key, boolean gt, boolean eq) { return (a[index] > key && gt) || (a[index] < key && !gt) || (a[index] == key && eq); }
final int lowerBound(double[] a, double key) { return BS(a, key, true, true, true); }
final int lowerBound(double[] a, double key, int ng, int ok) { return BS(a, key, true, true, true, ng, ok); }
final int upperBound(double[] a, double key) { return BS(a, key, true, true, false); }
final int upperBound(double[] a, double key, int ng, int ok) { return BS(a, key, true, true, false, ng, ok); }
final int cntBS(double[] a, double key, boolean asc, boolean gt, boolean eq) { return BS(a, key, asc, gt, eq, true); }
final int cntBS(double[] a, double key, boolean asc, boolean gt, boolean eq, int ng, int ok) { return BS(a, key, asc, gt, eq, true, ng, ok); }
final int BS(double[] a, double key, boolean asc, boolean gt, boolean eq) { return BS(a, key, asc, gt, eq, false); }
final int BS(double[] a, double key, boolean asc, boolean gt, boolean eq, int ng, int ok) { return BS(a, key, asc, gt, eq, false, ng, ok); }
final int BS(double[] a, double key, boolean asc, boolean gt, boolean eq, boolean cnt) { return BS(a, key, asc, gt, eq, cnt, asc ^ gt ? a.length : -1, asc ^ gt ? -1 : a.length); }
final int BS(double[] a, double key, boolean asc, boolean gt, boolean eq, boolean cnt, int ng, int ok) { int index = binarySearch(a, key, gt, eq, ng, ok); return cnt ? (int)abs(ok - index) : index; }
final int binarySearch(double[] a, double key, boolean gt, boolean eq, int ng, int ok) { while (abs(ok - ng) > 1) { int mid = (ok + ng) / 2; if(isOKforBS(a, mid, key, gt, eq)) ok = mid; else ng = mid; } return ok; }
final boolean isOKforBS(double[] a, int index, double key, boolean gt, boolean eq) { return (a[index] > key && gt) || (a[index] < key && !gt) || (a[index] == key && eq); }
final <T extends Comparable<? super T>> int lowerBound(T[] a, T key) { return BS(a, key, true, true, true); }
final <T extends Comparable<? super T>> int lowerBound(T[] a, T key, int ng, int ok) { return BS(a, key, true, true, true, ng, ok); }
final <T extends Comparable<? super T>> int upperBound(T[] a, T key) { return BS(a, key, true, true, false); }
final <T extends Comparable<? super T>> int upperBound(T[] a, T key, int ng, int ok) { return BS(a, key, true, true, false, ng, ok); }
final <T extends Comparable<? super T>> int cntBS(T[] a, T key, boolean asc, boolean gt, boolean eq) { return BS(a, key, asc, gt, eq, true); }
final <T extends Comparable<? super T>> int cntBS(T[] a, T key, boolean asc, boolean gt, boolean eq, int ng, int ok) { return BS(a, key, asc, gt, eq, true, ng, ok); }
final <T extends Comparable<? super T>> int BS(T[] a, T key, boolean asc, boolean gt, boolean eq) { return BS(a, key, asc, gt, eq, false); }
final <T extends Comparable<? super T>> int BS(T[] a, T key, boolean asc, boolean gt, boolean eq, int ng, int ok) { return BS(a, key, asc, gt, eq, false, ng, ok); }
final <T extends Comparable<? super T>> int BS(T[] a, T key, boolean asc, boolean gt, boolean eq, boolean cnt) { return BS(a, key, asc, gt, eq, cnt, asc ^ gt ? a.length : -1, asc ^ gt ? -1 : a.length); }
final <T extends Comparable<? super T>> int BS(T[] a, T key, boolean asc, boolean gt, boolean eq, boolean cnt, int ng, int ok) { int index = binarySearch(a, key, gt, eq, ng, ok); return cnt ? (int)abs(ok - index) : index; }
final <T extends Comparable<? super T>> int binarySearch(T[] a, T key, boolean gt, boolean eq, int ng, int ok) { while (abs(ok - ng) > 1) { int mid = (ok + ng) / 2; if(isOKforBS(a, mid, key, gt, eq)) ok = mid; else ng = mid; } return ok; }
final <T extends Comparable<? super T>> boolean isOKforBS(T[] a, int index, T key, boolean gt, boolean eq) { int compare = a[index].compareTo(key); return (compare > 0 && gt) || (compare < 0 && !gt) || (compare == 0 && eq); }
final <T> int lowerBound(T[] a, T key, Comparator<? super T> c) { return BS(a, key, true, true, true, c); }
final <T> int lowerBound(T[] a, T key, int ng, int ok, Comparator<? super T> c) { return BS(a, key, true, true, true, ng, ok, c); }
final <T> int upperBound(T[] a, T key, Comparator<? super T> c) { return BS(a, key, true, true, false, c); }
final <T> int upperBound(T[] a, T key, int ng, int ok, Comparator<? super T> c) { return BS(a, key, true, true, false, ng, ok, c); }
final <T> int cntBS(T[] a, T key, boolean asc, boolean gt, boolean eq, Comparator<? super T> c) { return BS(a, key, asc, gt, eq, true, c); }
final <T> int cntBS(T[] a, T key, boolean asc, boolean gt, boolean eq, int ng, int ok, Comparator<? super T> c) { return BS(a, key, asc, gt, eq, true, ng, ok, c); }
final <T> int BS(T[] a, T key, boolean asc, boolean gt, boolean eq, Comparator<? super T> c) { return BS(a, key, asc, gt, eq, false, c); }
final <T> int BS(T[] a, T key, boolean asc, boolean gt, boolean eq, int ng, int ok, Comparator<? super T> c) { return BS(a, key, asc, gt, eq, false, ng, ok, c); }
final <T> int BS(T[] a, T key, boolean asc, boolean gt, boolean eq, boolean cnt, Comparator<? super T> c) { return BS(a, key, asc, gt, eq, cnt, asc ^ gt ? a.length : -1, asc ^ gt ? -1 : a.length, c); }
final <T> int BS(T[] a, T key, boolean asc, boolean gt, boolean eq, boolean cnt, int ng, int ok, Comparator<? super T> c) { int index = binarySearch(a, key, gt, eq, ng, ok, c); return cnt ? (int)abs(ok - index) : index; }
final <T> int binarySearch(T[] a, T key, boolean gt, boolean eq, int ng, int ok, Comparator<? super T> c) { while (abs(ok - ng) > 1) { int mid = (ok + ng) / 2; if(isOKforBS(a, mid, key, gt, eq, c)) ok = mid; else ng = mid; } return ok; }
final <T> boolean isOKforBS(T[] a, int index, T key, boolean gt, boolean eq, Comparator<? super T> c) { int compare = c.compare(a[index], key); return (compare > 0 && gt) || (compare < 0 && !gt) || (compare == 0 && eq); }
final <T extends Comparable<? super T>> int lowerBound(List<T> a, T key) { return BS(a, key, true, true, true); }
final <T extends Comparable<? super T>> int lowerBound(List<T> a, T key, int ng, int ok) { return BS(a, key, true, true, true, ng, ok); }
final <T extends Comparable<? super T>> int upperBound(List<T> a, T key) { return BS(a, key, true, true, false); }
final <T extends Comparable<? super T>> int upperBound(List<T> a, T key, int ng, int ok) { return BS(a, key, true, true, false, ng, ok); }
final <T extends Comparable<? super T>> int cntBS(List<T> a, T key, boolean asc, boolean gt, boolean eq) { return BS(a, key, asc, gt, eq, true); }
final <T extends Comparable<? super T>> int cntBS(List<T> a, T key, boolean asc, boolean gt, boolean eq, int ng, int ok) { return BS(a, key, asc, gt, eq, true, ng, ok); }
final <T extends Comparable<? super T>> int BS(List<T> a, T key, boolean asc, boolean gt, boolean eq) { return BS(a, key, asc, gt, eq, false); }
final <T extends Comparable<? super T>> int BS(List<T> a, T key, boolean asc, boolean gt, boolean eq, int ng, int ok) { return BS(a, key, asc, gt, eq, false, ng, ok); }
final <T extends Comparable<? super T>> int BS(List<T> a, T key, boolean asc, boolean gt, boolean eq, boolean cnt) { return BS(a, key, asc, gt, eq, cnt, asc ^ gt ? a.size() : -1, asc ^ gt ? -1 : a.size()); }
final <T extends Comparable<? super T>> int BS(List<T> a, T key, boolean asc, boolean gt, boolean eq, boolean cnt, int ng, int ok) { int index = binarySearch(a, key, gt, eq, ng, ok); return cnt ? (int)abs(ok - index) : index; }
final <T extends Comparable<? super T>> int binarySearch(List<T> a, T key, boolean gt, boolean eq, int ng, int ok) { while (abs(ok - ng) > 1) { int mid = (ok + ng) / 2; if(isOKforBS(a, mid, key, gt, eq)) ok = mid; else ng = mid; } return ok; }
final <T extends Comparable<? super T>> boolean isOKforBS(List<T> a, int index, T key, boolean gt, boolean eq) { int compare = a.get(index).compareTo(key); return (compare > 0 && gt) || (compare < 0 && !gt) || (compare == 0 && eq); }
final <T> int lowerBound(List<T> a, T key, Comparator<? super T> c) { return BS(a, key, true, true, true, c); }
final <T> int lowerBound(List<T> a, T key, int ng, int ok, Comparator<? super T> c) { return BS(a, key, true, true, true, ng, ok, c); }
final <T> int upperBound(List<T> a, T key, Comparator<? super T> c) { return BS(a, key, true, true, false, c); }
final <T> int upperBound(List<T> a, T key, int ng, int ok, Comparator<? super T> c) { return BS(a, key, true, true, false, ng, ok, c); }
final <T> int cntBS(List<T> a, T key, boolean asc, boolean gt, boolean eq, Comparator<? super T> c) { return BS(a, key, asc, gt, eq, true, c); }
final <T> int cntBS(List<T> a, T key, boolean asc, boolean gt, boolean eq, int ng, int ok, Comparator<? super T> c) { return BS(a, key, asc, gt, eq, true, ng, ok, c); }
final <T> int BS(List<T> a, T key, boolean asc, boolean gt, boolean eq, Comparator<? super T> c) { return BS(a, key, asc, gt, eq, false, c); }
final <T> int BS(List<T> a, T key, boolean asc, boolean gt, boolean eq, int ng, int ok, Comparator<? super T> c) { return BS(a, key, asc, gt, eq, false, ng, ok, c); }
final <T> int BS(List<T> a, T key, boolean asc, boolean gt, boolean eq, boolean cnt, Comparator<? super T> c) { return BS(a, key, asc, gt, eq, cnt, asc ^ gt ? a.size() : -1, asc ^ gt ? -1 : a.size(), c); }
final <T> int BS(List<T> a, T key, boolean asc, boolean gt, boolean eq, boolean cnt, int ng, int ok, Comparator<? super T> c) { int index = binarySearch(a, key, gt, eq, ng, ok, c); return cnt ? (int)abs(ok - index) : index; }
final <T> int binarySearch(List<T> a, T key, boolean gt, boolean eq, int ng, int ok, Comparator<? super T> c) { while (abs(ok - ng) > 1) { int mid = (ok + ng) / 2; if(isOKforBS(a, mid, key, gt, eq, c)) ok = mid; else ng = mid; } return ok; }
final <T> boolean isOKforBS(List<T> a, int index, T key, boolean gt, boolean eq, Comparator<? super T> c) { int compare = c.compare(a.get(index), key); return (compare > 0 && gt) || (compare < 0 && !gt) || (compare == 0 && eq); }
final PairLL binaryRangeSearch(long left, long right, UnaryOperator<Long> op, boolean minimize) {
long ok1 = right, ng1 = left;
while(abs(ok1 - ng1) > 1) {
long mid = (ok1 + ng1) / 2;
boolean isOK = (op.apply(mid + 1) - op.apply(mid)) * (minimize ? 1 : -1) >= 0;
if(isOK) ok1 = mid; else ng1 = mid;
}
long ok2 = left, ng2 = right;
while(abs(ok2 - ng2) > 1) {
long mid = (ok2 + ng2) / 2;
boolean isOK = (op.apply(mid - 1) - op.apply(mid)) * (minimize ? 1 : -1) >= 0;
if(isOK) ok2 = mid; else ng2 = mid;
}
return new PairLL(ok1, ok2); //[l, r]
}
final double ternarySearch(double left, double right, UnaryOperator<Double> op, boolean minimize, int loop) {
for(int cnt = 0; cnt < loop; cnt ++) {
double m1 = (left * 2 + right) / 3.0;
double m2 = (left + right * 2) / 3.0;
if(op.apply(m1) > op.apply(m2) ^ minimize) right = m2; else left = m1;
}
return (left + right) / 2.0;
}
// mods
Mod md = new Mod();
// class Mod107 extends Mod { Mod107() { super(1_000_000_007); } } Mod107 md = new Mod107();
// class Mod998 extends Mod { Mod998() { super(998244353); } } Mod998 md = new Mod998();
class Mod {
final long MOD = 1_000_000_007; Mod() { MH = 0; ML = 0; IS_MOD_CONST = true; }
// final long MOD = 998244353; Mod() { MH = 0; ML = 0; IS_MOD_CONST = true; }
// final long MOD; Mod(long mod) { MOD = mod; IS_MOD_CONST = false; long a = (1l << 32) / MOD; long b = (1l << 32) % MOD; long m = a * a * MOD + 2 * a * b + (b * b) / MOD; MH = m >>> 32; ML = m & MASK; }
static final long MASK = 0xffff_ffffl;
final long MH;
final long ML;
final boolean IS_MOD_CONST;
final long reduce(long x) {
if(MOD == 1) return 0;
if(x < 0) return (x = reduce(- x)) == 0 ? 0 : MOD - x;
long z = (x & MASK) * ML;
z = (x & MASK) * MH + (x >>> 32) * ML + (z >>> 32);
z = (x >>> 32) * MH + (z >>> 32);
x -= z * MOD;
return x < MOD ? x : x - MOD;
}
final long mod(long x) {
if(0 <= x && x < MOD) return x;
if(- MOD <= x && x < 0) return x + MOD;
return IS_MOD_CONST ? ((x %= MOD) < 0 ? x + MOD : x) : reduce(x);
}
final long[] mod(long[] a) { for(int i = 0; i < a.length; i ++) a[i] = mod(a[i]); return a; }
final long[][] mod(long[][] a) { for(int i = 0; i < a.length; i ++) mod(a[i]); return a; }
final long[][][] mod(long[][][] a) { for(int i = 0; i < a.length; i ++) mod(a[i]); return a; }
final long add(long x, long y) { return (x += y) >= MOD * 2 || x < 0 ? mod(x) : x >= MOD ? x - MOD : x; }
final long sum(long... x) { long sum = 0; for(long ele : x) sum = add(sum, ele); return sum; }
final long sub(long x, long y) { return (x -= y) < - MOD || x >= MOD ? mod(x) : x < 0 ? x + MOD : x; }
final long pow(long x, long y) {
nonNegativeCheck(y);
x = mod(x);
long ans = 1;
for(; y > 0; y >>= 1) {
if((y & 1) != 0) ans = mul(ans, x);
x = mul(x, x);
}
return ans;
}
final long mul(long x, long y) {
if(x >= 0 && x < MOD && y >= 0 && y < MOD) return IS_MOD_CONST ? (x * y) % MOD : reduce(x * y);
x = mod(x);
y = mod(y);
return IS_MOD_CONST ? (x * y) % MOD : reduce(x * y);
}
final long mul(long... x) { long ans = 1; for(long ele : x) ans = mul(ans, ele); return ans; }
final long div(long x, long y) { return mul(x, inv(y)); }
final long[] pows(long x, int max) {
x = mod(x);
long pow[] = new long[max + 1];
pow[0] = 1;
for(int i = 0; i < max; i ++) pow[i + 1] = mul(pow[i], x);
return pow;
}
final long fact(int n) {
nonNegativeCheck(n);
prepareFact();
if(n < MAX_FACT1) return fact[n];
else {
long ans = fact[MAX_FACT1 - 1];
for(int i = MAX_FACT1; i <= n; i ++) ans = mul(ans, i);
return ans;
}
}
final long invFact(int n) {
nonNegativeCheck(n);
prepareFact();
if(n < MAX_FACT1) return invFact[n];
else return inv(fact(n));
}
static final int MAX_INV_SIZE = 100_100;
final Map<Long, Long> invMap = new HashMap<>();
final long inv(long x) {
x = mod(x);
if(invMap.containsKey(x)) return invMap.get(x);
if(invMap.size() >= MAX_INV_SIZE) return calInv(x);
invMap.put(x, calInv(x));
return invMap.get(x);
}
final long calInv(long x) { // O(logM)
PairLL s = new PairLL(MOD, 0);
PairLL t = new PairLL(mod(x), 1);
while(t.a > 0) {
long tmp = s.a / t.a;
PairLL u = new PairLL(s.a - t.a * tmp, s.b - t.b * tmp);
s = t;
t = u;
}
if(s.b < 0) s.b += MOD / s.a;
return s.b;
}
final long[] invs(int n) { // O(N)
positiveCheck(n);
long inv[] = new long[n + 1];
inv[1] = 1;
for(int i = 2; i <= n; i ++) inv[i] = mul(inv[(int)(MOD % i)], (MOD - MOD / i));
return inv;
}
static final int MAX_FACT1 = 5_000_100;
static final int MAX_FACT2 = 500_100;
static final int MAX_FACT_MAP_SIZE = 100;
long fact[];
long invFact[];
boolean isFactPrepared = false;
final Map<Long, long[]> factMap = new HashMap<>();
final void prepareFact() {
if(isFactPrepared) return;
fact = new long[MAX_FACT1];
invFact = new long[MAX_FACT1];
fill(fact, 0);
fill(invFact, 0);
fact[0] = 1;
int maxIndex = min(MAX_FACT1, (int)MOD);
for(int i = 1; i < maxIndex; i ++) fact[i] = mul(fact[i - 1], i);
invFact[maxIndex - 1] = inv(fact[maxIndex - 1]);
for(int i = maxIndex - 1; i > 0; i --) invFact[i - 1] = mul(invFact[i], i);
isFactPrepared = true;
}
final long P(long n, long r) {
if(!isFactPrepared) prepareFact();
if(n < 0 || r < 0 || n < r) return 0;
if(n < MAX_FACT1 && n < MOD) return mul(fact[(int)n], invFact[(int)(n - r)]);
if(!factMap.containsKey(n)) {
long largeFact[] = new long[MAX_FACT2];
factMap.put(n, largeFact);
fill(largeFact, -1);
largeFact[0] = 1;
}
long largeFact[] = factMap.get(n);
if(r >= MAX_FACT2) {
long ans = 1;
for(long i = n - r + 1; i <= n; i ++) ans = mul(ans, i);
return ans;
}else {
int i = (int)r;
while(largeFact[i] < 0) i --;
for(; i < r; i ++) largeFact[i + 1] = mul(largeFact[i], n - i);
if(factMap.size() > MAX_FACT_MAP_SIZE) factMap.remove(n);
return largeFact[(int)r];
}
}
final long C(long n, long r) {
if(!isFactPrepared) prepareFact();
if(n < 0) return mod(C(- n + r - 1, - n - 1) * ((r & 1) == 0 ? 1 : -1));
if(r < 0 || n < r) return 0;
r = min(r, n - r);
if(n < MOD) return mul(P(n, r), r < MAX_FACT1 ? invFact[(int)r] : inv(fact((int)r)));
long digitN[] = baseConvert(n, MOD);
long digitR[] = baseConvert(r, MOD);
int len = digitN.length;
digitR = resize(digitR, len, 0);
long ans = 1;
for(int i = 0; i < len; i ++) ans = mul(ans, C(digitN[i], digitR[i]));
return ans;
}
final long H(long n, long r) { return C(n - 1 + r, r); }
final long sqrt(long x) {
x = mod(x);
long p = (MOD - 1) >> 1;
if(pow(x, p) != 1) return -1;
long q = MOD - 1;
int m = 1;
while(((q >>= 1) & 1) == 0) m ++;
long z = 1;
while(pow(z, p) == 1) z = random(1, MOD);
long c = pow(z, q);
long t = pow(x, q);
long r = pow(x, (q + 1) >> 1);
if(t == 0) return 0;
m -= 2;
while(t != 1) {
long pows[] = new long[m + 1];
pows[0] = t;
for(int i = 0; i < m; i ++) pows[i + 1] = mul(pows[i], pows[i]);
while(pows[m --] == 1) c = mul(c, c);
r = mul(r, c);
c = mul(c, c);
t = mul(t, c);
}
return r;
}
}
final long mod(long x, long mod) {
if(0 <= x && x < mod) return x;
if(- mod <= x && x < 0) return x + mod;
return (x %= mod) < 0 ? x + mod : x;
}
final long pow(long x, long y, long mod) {
nonNegativeCheck(y);
x = mod(x, mod);
long ans = 1;
for(; y > 0; y >>= 1) {
if((y & 1) != 0) ans = mod(ans * x, mod);
x = mod(x * x, mod);
}
return ans;
}
// grid
class Grids {
int h, w;
Grid[][] gs;
Grid[] gi;
Grids(int h, int w) {
nonNegativeCheck(h);
nonNegativeCheck(w);
this.h = h;
this.w = w;
gs = new Grid[h][w];
gi = new Grid[h * w];
for(int i = 0; i < h; i ++) {
for(int j = 0; j < w; j ++) {
gs[i][j] = new Grid(i, j, h, w);
gi[gs[i][j].i] = gs[i][j];
}
}
}
void init(boolean[][] b) { for(int i = 0; i < h; i ++) for(int j = 0; j < w; j ++) gs[i][j].b = b[i][j]; }
void init(long[][] val) { for(int i = 0; i < h; i ++) for(int j = 0; j < w; j ++) gs[i][j].val = val[i][j]; }
Grid get(int x, int y) { return isValid(x, y, h, w) ? gs[x][y] : null; }
Grid get(int i) { return get(i / w, i % w); }
int dx[] = {0, -1, 1, 0, 0, -1, 1, -1, 1};
int dy[] = {0, 0, 0, -1, 1, -1, -1, 1, 1};
Grid next(int x, int y, int i) { return next(gs[x][y], i); }
Grid next(Grid g, int i) { return isValid(g.x + dx[i], g.y + dy[i], g.h, g.w) ? gs[g.x + dx[i]][g.y + dy[i]] : null; }
}
class Grid implements Comparable<Grid> {
int x, y, h, w, i; boolean b; long val;
Grid() { }
Grid(int x, int y, int h, int w) { init(x, y, h, w, false, 0); }
Grid(int x, int y, int h, int w, boolean b) { init(x, y, h, w, b, 0); }
Grid(int x, int y, int h, int w, long val) { init(x, y, h, w, false, val); }
Grid(int x, int y, int h, int w, boolean b, long val) { init(x, y, h, w, b, val); }
void init(int x, int y, int h, int w, boolean b, long val) { this.x = x; this.y = y; this.h = h; this.w = w; this.b = b; this.val = val; this.i = x * w + y; }
@Override public String toString() { return "("+x+", "+y+")"+" "+booleanToString(b)+" "+val; }
@Override public int hashCode() { return Objects.hash(x, y, h, w, b, val); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
Grid that = (Grid) obj;
if(this.x != that.x) return false;
if(this.y != that.y) return false;
if(this.h != that.h) return false;
if(this.w != that.w) return false;
if(this.b != that.b) return false;
if(this.val != that.val) return false;
return true;
}
@Override
public int compareTo(Grid that) {
int c = Long.compare(this.val, that.val);
if(c == 0) c = Integer.compare(this.x, that.x);
if(c == 0) c = Integer.compare(this.y, that.y);
return c;
}
}
final boolean isValid(int x, int y, int h, int w) { return x >= 0 && x < h && y >= 0 && y < w; }
final boolean isValid(Grid g) { return isValid(g.x, g.y, g.h, g.w); }
// graph
class Graph {
int numNode, numEdge;
boolean directed;
List<Edge> edges = new ArrayList<>();
Node nodes[];
Node reversedNodes[];
Graph(int numNode, int numEdge, boolean directed) {
nonNegativeCheck(numNode);
this.numNode = numNode;
this.numEdge = numEdge;
this.directed = directed;
nodes = new Node[numNode];
reversedNodes = new Node[numNode];
for(int i = 0; i < numNode; i ++) {
nodes[i] = new Node(i);
reversedNodes[i] = new Node(i);
}
}
void init(List<Edge> edges) {
this.edges = edges;
for(Edge e : edges) add(e);
}
void add(int source, int target, long cost) { add(new Edge(source, target, cost)); }
void add(Edge e) {
rangeCheck(e.source, numNode);
rangeCheck(e.target, numNode);
edges.add(e);
nodes[e.source].add(e.target, e.cost);
if(directed) reversedNodes[e.target].add(e.source, e.cost);
else nodes[e.target].add(e.source, e.cost);
numEdge = edges.size();
}
void clearNodes() { edges.clear(); numEdge = 0; for(Node n : nodes) n.clear(); for(Node n : reversedNodes) n.clear(); }
}
class Node extends ArrayList<Edge> {
int id;
Node(int id) { this.id = id; }
void add(int target, long cost) { add(new Edge(id, target, cost)); }
}
class Edge implements Comparable<Edge> {
int source; int target; long cost;
Edge(int source, int target, long cost) { this.source = source; this.target = target; this.cost = cost; }
@Override public String toString() { return source+" - "+cost+" -> "+target; }
@Override public int hashCode() { return Objects.hash(source, target); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
Edge that = (Edge) obj;
if(this.source != that.source) return false;
if(this.target != that.target) return false;
return true;
}
@Override
public int compareTo(Edge that) {
int c = Long.compare(this.cost, that.cost);
if(c == 0) c = Integer.compare(this.source, that.source);
if(c == 0) c = Integer.compare(this.target, that.target);
return c;
}
}
// Pair
class Pair<T extends Comparable<? super T>, U extends Comparable<? super U>> implements Comparable<Pair<T, U>> {
T a; U b;
Pair() { }
Pair(T a, U b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a.toString()+", "+b.toString()+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
Pair that = (Pair) obj;
if(this.a.getClass() != that.a.getClass()) return false;
if(this.b.getClass() != that.b.getClass()) return false;
if(!this.a.equals(that.a)) return false;
if(!this.b.equals(that.b)) return false;
return true;
}
@Override public int compareTo(Pair<T, U> that) { int c = (this.a).compareTo(that.a); if(c == 0) c = (this.b).compareTo(that.b); return c; }
}
final PairII npii() { return new PairII(ni(), ni()); }
final PairII[] npii(int n) { PairII a[] = new PairII[n]; for(int i = 0; i < n; i ++) a[i] = npii(); return a; }
final PairII[][] npii(int n, int m) { PairII a[][] = new PairII[n][m]; for(int i = 0; i < n; i ++) a[i] = npii(m); return a; }
class PairII implements Comparable<PairII> {
int a; int b;
PairII() { }
PairII(int a, int b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairII that = (PairII) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override public int compareTo(PairII that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); return c; }
}
final PairIL npil() { return new PairIL(ni(), nl()); }
final PairIL[] npil(int n) { PairIL a[] = new PairIL[n]; for(int i = 0; i < n; i ++) a[i] = npil(); return a; }
final PairIL[][] npil(int n, int m) { PairIL a[][] = new PairIL[n][m]; for(int i = 0; i < n; i ++) a[i] = npil(m); return a; }
class PairIL implements Comparable<PairIL> {
int a; long b;
PairIL() { }
PairIL(int a, long b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairIL that = (PairIL) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override public int compareTo(PairIL that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); return c; }
}
final PairID npid() { return new PairID(ni(), nd()); }
final PairID[] npid(int n) { PairID a[] = new PairID[n]; for(int i = 0; i < n; i ++) a[i] = npid(); return a; }
final PairID[][] npid(int n, int m) { PairID a[][] = new PairID[n][m]; for(int i = 0; i < n; i ++) a[i] = npid(m); return a; }
class PairID implements Comparable<PairID> {
int a; double b;
PairID() { }
PairID(int a, double b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairID that = (PairID) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override public int compareTo(PairID that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); return c; }
}
final PairLI npli() { return new PairLI(nl(), ni()); }
final PairLI[] npli(int n) { PairLI a[] = new PairLI[n]; for(int i = 0; i < n; i ++) a[i] = npli(); return a; }
final PairLI[][] npli(int n, int m) { PairLI a[][] = new PairLI[n][m]; for(int i = 0; i < n; i ++) a[i] = npli(m); return a; }
class PairLI implements Comparable<PairLI> {
long a; int b;
PairLI() { }
PairLI(long a, int b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairLI that = (PairLI) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override public int compareTo(PairLI that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); return c; }
}
final PairLL npll() { return new PairLL(nl(), nl()); }
final PairLL[] npll(int n) { PairLL a[] = new PairLL[n]; for(int i = 0; i < n; i ++) a[i] = npll(); return a; }
final PairLL[][] npll(int n, int m) { PairLL a[][] = new PairLL[n][m]; for(int i = 0; i < n; i ++) a[i] = npll(m); return a; }
class PairLL implements Comparable<PairLL> {
long a; long b;
PairLL() { }
PairLL(long a, long b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairLL that = (PairLL) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override public int compareTo(PairLL that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); return c; }
}
final PairLD npld() { return new PairLD(nl(), nd()); }
final PairLD[] npld(int n) { PairLD a[] = new PairLD[n]; for(int i = 0; i < n; i ++) a[i] = npld(); return a; }
final PairLD[][] npld(int n, int m) { PairLD a[][] = new PairLD[n][m]; for(int i = 0; i < n; i ++) a[i] = npld(m); return a; }
class PairLD implements Comparable<PairLD> {
long a; double b;
PairLD() { }
PairLD(long a, double b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairLD that = (PairLD) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override public int compareTo(PairLD that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); return c; }
}
final PairDI npdi() { return new PairDI(nd(), ni()); }
final PairDI[] npdi(int n) { PairDI a[] = new PairDI[n]; for(int i = 0; i < n; i ++) a[i] = npdi(); return a; }
final PairDI[][] npdi(int n, int m) { PairDI a[][] = new PairDI[n][m]; for(int i = 0; i < n; i ++) a[i] = npdi(m); return a; }
class PairDI implements Comparable<PairDI> {
double a; int b;
PairDI() { }
PairDI(double a, int b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairDI that = (PairDI) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override public int compareTo(PairDI that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); return c; }
}
final PairDL npdl() { return new PairDL(nd(), nl()); }
final PairDL[] npdl(int n) { PairDL a[] = new PairDL[n]; for(int i = 0; i < n; i ++) a[i] = npdl(); return a; }
final PairDL[][] npdl(int n, int m) { PairDL a[][] = new PairDL[n][m]; for(int i = 0; i < n; i ++) a[i] = npdl(m); return a; }
class PairDL implements Comparable<PairDL> {
double a; long b;
PairDL() { }
PairDL(double a, long b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairDL that = (PairDL) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override public int compareTo(PairDL that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); return c; }
}
final PairDD npdd() { return new PairDD(nd(), nd()); }
final PairDD[] npdd(int n) { PairDD a[] = new PairDD[n]; for(int i = 0; i < n; i ++) a[i] = npdd(); return a; }
final PairDD[][] npdd(int n, int m) { PairDD a[][] = new PairDD[n][m]; for(int i = 0; i < n; i ++) a[i] = npdd(m); return a; }
class PairDD implements Comparable<PairDD> {
double a; double b;
PairDD() { }
PairDD(double a, double b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairDD that = (PairDD) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override public int compareTo(PairDD that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); return c; }
}
interface ITuple {
public StringBuilder toStringBuilder();
@Override public String toString();
@Override public int hashCode();
@Override public boolean equals(Object obj);
}
class BasicTuple<T extends ITuple & Comparable<? super T>, V extends Comparable<? super V>> implements Comparable<BasicTuple> {
T t; V a;
BasicTuple() { }
StringBuilder sbTuple = new StringBuilder();
public StringBuilder toStringBuilder() {
sbTuple.setLength(0);
return sbTuple.append(t.toStringBuilder()).append(", ").append(a);
}
@Override public String toString() { return "("+toStringBuilder().toString()+")"; }
@Override public int hashCode() { return Objects.hash(t, a); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
BasicTuple that = (BasicTuple) obj;
if(this.t.getClass() != that.t.getClass()) return false;
if(this.a.getClass() != that.a.getClass()) return false;
if(!this.t.equals(that.t)) return false;
if(!this.a.equals(that.a)) return false;
return true;
}
@Override @SuppressWarnings("unchecked") public int compareTo(BasicTuple that) { int c = (this.t).compareTo((T) (Object) that.t); if(c == 0) c = (this.a).compareTo((V) (Object) that.a); return c; }
}
class UniqueTuple<V extends Comparable<? super V>> implements ITuple, Comparable<UniqueTuple> {
V a;
UniqueTuple() { }
final StringBuilder sbTuple = new StringBuilder();
public StringBuilder toStringBuilder() { sbTuple.setLength(0); return sbTuple.append(a); }
@Override public String toString() { return "("+toStringBuilder().toString()+")"; }
@Override public int hashCode() { return Objects.hash(a); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
UniqueTuple that = (UniqueTuple) obj;
if(this.a.getClass() != that.a.getClass()) return false;
if(!this.a.equals(that.a)) return false;
return true;
}
@Override @SuppressWarnings("unchecked") public int compareTo(UniqueTuple that) { return (this.a).compareTo((V) (Object) that.a); }
}
class Tuple1<T0 extends Comparable<? super T0>> extends UniqueTuple<T0> implements ITuple {
Tuple1() { super(); }
Tuple1(T0 a0) { super(); this.a = a0; }
T0 get0() { return a; }
void set0(T0 x) { a = x; }
}
class Tuple2<
T0 extends Comparable<? super T0>,
T1 extends Comparable<? super T1>>
extends BasicTuple<Tuple1<T0>, T1> implements ITuple {
Tuple2() { super(); }
@SuppressWarnings("unchecked") Tuple2(T0 a0, T1 a1) { super(); this.t = new Tuple1(a0); this.a = a1; }
T0 get0() { return t.get0(); }
T1 get1() { return a; }
void set0(T0 x) { t.set0(x); }
void set1(T1 x) { a = x; }
}
class Tuple3<
T0 extends Comparable<? super T0>,
T1 extends Comparable<? super T1>,
T2 extends Comparable<? super T2>>
extends BasicTuple<Tuple2<T0, T1>, T2> implements ITuple {
Tuple3() { super(); }
@SuppressWarnings("unchecked") Tuple3(T0 a0, T1 a1, T2 a2) { super(); this.t = new Tuple2(a0, a1); this.a = a2; }
T0 get0() { return t.get0(); }
T1 get1() { return t.get1(); }
T2 get2() { return a; }
void set0(T0 x) { t.set0(x); }
void set1(T1 x) { t.set1(x); }
void set2(T2 x) { a = x; }
}
class Tuple4<
T0 extends Comparable<? super T0>,
T1 extends Comparable<? super T1>,
T2 extends Comparable<? super T2>,
T3 extends Comparable<? super T3>>
extends BasicTuple<Tuple3<T0, T1, T2>, T3> implements ITuple {
Tuple4() { super(); }
@SuppressWarnings("unchecked") Tuple4(T0 a0, T1 a1, T2 a2, T3 a3) { super(); this.t = new Tuple3(a0, a1, a2); this.a = a3; }
T0 get0() { return t.get0(); }
T1 get1() { return t.get1(); }
T2 get2() { return t.get2(); }
T3 get3() { return a; }
void set0(T0 x) { t.set0(x); }
void set1(T1 x) { t.set1(x); }
void set2(T2 x) { t.set2(x); }
void set3(T3 x) { a = x; }
}
class Tuple5<
T0 extends Comparable<? super T0>,
T1 extends Comparable<? super T1>,
T2 extends Comparable<? super T2>,
T3 extends Comparable<? super T3>,
T4 extends Comparable<? super T4>>
extends BasicTuple<Tuple4<T0, T1, T2, T3>, T4> implements ITuple {
Tuple5() { super(); }
@SuppressWarnings("unchecked") Tuple5(T0 a0, T1 a1, T2 a2, T3 a3, T4 a4) { super(); this.t = new Tuple4(a0, a1, a2, a3); this.a = a4; }
T0 get0() { return t.get0(); }
T1 get1() { return t.get1(); }
T2 get2() { return t.get2(); }
T3 get3() { return t.get3(); }
T4 get4() { return a; }
void set0(T0 x) { t.set0(x); }
void set1(T1 x) { t.set1(x); }
void set2(T2 x) { t.set2(x); }
void set3(T3 x) { t.set3(x); }
void set4(T4 x) { a = x; }
}
class Tuple6<
T0 extends Comparable<? super T0>,
T1 extends Comparable<? super T1>,
T2 extends Comparable<? super T2>,
T3 extends Comparable<? super T3>,
T4 extends Comparable<? super T4>,
T5 extends Comparable<? super T5>>
extends BasicTuple<Tuple5<T0, T1, T2, T3, T4>, T5> implements ITuple {
Tuple6() { super(); }
@SuppressWarnings("unchecked")
Tuple6(T0 a0, T1 a1, T2 a2, T3 a3, T4 a4, T5 a5) { super(); this.t = new Tuple5(a0, a1, a2, a3, a4); this.a = a5; }
T0 get0() { return t.get0(); }
T1 get1() { return t.get1(); }
T2 get2() { return t.get2(); }
T3 get3() { return t.get3(); }
T4 get4() { return t.get4(); }
T5 get5() { return a; }
void set0(T0 x) { t.set0(x); }
void set1(T1 x) { t.set1(x); }
void set2(T2 x) { t.set2(x); }
void set3(T3 x) { t.set3(x); }
void set4(T4 x) { t.set4(x); }
void set5(T5 x) { a = x; }
}
class Tuple7<
T0 extends Comparable<? super T0>,
T1 extends Comparable<? super T1>,
T2 extends Comparable<? super T2>,
T3 extends Comparable<? super T3>,
T4 extends Comparable<? super T4>,
T5 extends Comparable<? super T5>,
T6 extends Comparable<? super T6>>
extends BasicTuple<Tuple6<T0, T1, T2, T3, T4, T5>, T6> implements ITuple {
Tuple7() { super(); }
@SuppressWarnings("unchecked")
Tuple7(T0 a0, T1 a1, T2 a2, T3 a3, T4 a4, T5 a5, T6 a6) { super(); this.t = new Tuple6(a0, a1, a2, a3, a4, a5); this.a = a6; }
T0 get0() { return t.get0(); }
T1 get1() { return t.get1(); }
T2 get2() { return t.get2(); }
T3 get3() { return t.get3(); }
T4 get4() { return t.get4(); }
T5 get5() { return t.get5(); }
T6 get6() { return a; }
void set0(T0 x) { t.set0(x); }
void set1(T1 x) { t.set1(x); }
void set2(T2 x) { t.set2(x); }
void set3(T3 x) { t.set3(x); }
void set4(T4 x) { t.set4(x); }
void set5(T5 x) { t.set5(x); }
void set6(T6 x) { a = x; }
}
class Tuple8<
T0 extends Comparable<? super T0>,
T1 extends Comparable<? super T1>,
T2 extends Comparable<? super T2>,
T3 extends Comparable<? super T3>,
T4 extends Comparable<? super T4>,
T5 extends Comparable<? super T5>,
T6 extends Comparable<? super T6>,
T7 extends Comparable<? super T7>>
extends BasicTuple<Tuple7<T0, T1, T2, T3, T4, T5, T6>, T7> implements ITuple {
Tuple8() { super(); }
@SuppressWarnings("unchecked")
Tuple8(T0 a0, T1 a1, T2 a2, T3 a3, T4 a4, T5 a5, T6 a6, T7 a7) { super(); this.t = new Tuple7(a0, a1, a2, a3, a4, a5, a6); this.a = a7; }
T0 get0() { return t.get0(); }
T1 get1() { return t.get1(); }
T2 get2() { return t.get2(); }
T3 get3() { return t.get3(); }
T4 get4() { return t.get4(); }
T5 get5() { return t.get5(); }
T6 get6() { return t.get6(); }
T7 get7() { return a; }
void set0(T0 x) { t.set0(x); }
void set1(T1 x) { t.set1(x); }
void set2(T2 x) { t.set2(x); }
void set3(T3 x) { t.set3(x); }
void set4(T4 x) { t.set4(x); }
void set5(T5 x) { t.set5(x); }
void set6(T6 x) { t.set6(x); }
void set7(T7 x) { a = x; }
}
class TupleIII implements Comparable<TupleIII> {
int a; int b; int c;
TupleIII() { }
TupleIII(int a, int b, int c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleIII that = (TupleIII) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleIII that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); if(c == 0) c = Integer.compare(this.c, that.c); return c; }
}
class TupleIIL implements Comparable<TupleIIL> {
int a; int b; long c;
TupleIIL() { }
TupleIIL(int a, int b, long c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleIIL that = (TupleIIL) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleIIL that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); if(c == 0) c = Long.compare(this.c, that.c); return c;
}
}
class TupleIID implements Comparable<TupleIID> {
int a; int b; double c;
TupleIID() { }
TupleIID(int a, int b, double c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleIID that = (TupleIID) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleIID that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); if(c == 0) c = Double.compare(this.c, that.c); return c; }
}
class TupleILI implements Comparable<TupleILI> {
int a; long b; int c;
TupleILI() { }
TupleILI(int a, long b, int c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleILI that = (TupleILI) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleILI that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); if(c == 0) c = Integer.compare(this.c, that.c); return c; }
}
class TupleILL implements Comparable<TupleILL> {
int a; long b; long c;
TupleILL() { }
TupleILL(int a, long b, long c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleILL that = (TupleILL) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleILL that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); if(c == 0) c = Long.compare(this.c, that.c); return c; }
}
class TupleILD implements Comparable<TupleILD> {
int a; long b; double c;
TupleILD() { }
TupleILD(int a, long b, double c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleILD that = (TupleILD) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleILD that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); if(c == 0) c = Double.compare(this.c, that.c); return c; }
}
class TupleIDI implements Comparable<TupleIDI> {
int a; double b; int c;
TupleIDI() { }
TupleIDI(int a, double b, int c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleIDI that = (TupleIDI) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override
public int compareTo(TupleIDI that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); if(c == 0) c = Integer.compare(this.c, that.c); return c; }
}
class TupleIDL implements Comparable<TupleIDL> {
int a; double b; long c;
TupleIDL() { }
TupleIDL(int a, double b, long c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleIDL that = (TupleIDL) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleIDL that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); if(c == 0) c = Long.compare(this.c, that.c); return c; }
}
class TupleIDD implements Comparable<TupleIDD> {
int a; double b; double c;
TupleIDD() { }
TupleIDD(int a, double b, double c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleIDD that = (TupleIDD) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleIDD that) { int c = Integer.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); if(c == 0) c = Double.compare(this.c, that.c); return c; }
}
class TupleLII implements Comparable<TupleLII> {
long a; int b; int c;
TupleLII() { }
TupleLII(long a, int b, int c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleLII that = (TupleLII) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleLII that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); if(c == 0) c = Integer.compare(this.c, that.c); return c; }
}
class TupleLIL implements Comparable<TupleLIL> {
long a; int b; long c;
TupleLIL() { }
TupleLIL(long a, int b, long c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleLIL that = (TupleLIL) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleLIL that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); if(c == 0) c = Long.compare(this.c, that.c); return c; }
}
class TupleLID implements Comparable<TupleLID> {
long a; int b; double c;
TupleLID() { }
TupleLID(long a, int b, double c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleLID that = (TupleLID) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleLID that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); if(c == 0) c = Double.compare(this.c, that.c); return c; }
}
class TupleLLI implements Comparable<TupleLLI> {
long a; long b; int c;
TupleLLI() { }
TupleLLI(long a, long b, int c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleLLI that = (TupleLLI) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleLLI that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); if(c == 0) c = Integer.compare(this.c, that.c); return c; }
}
class TupleLLL implements Comparable<TupleLLL> {
long a; long b; long c;
TupleLLL() { }
TupleLLL(long a, long b, long c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleLLL that = (TupleLLL) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleLLL that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); if(c == 0) c = Long.compare(this.c, that.c); return c; }
}
class TupleLLD implements Comparable<TupleLLD> {
long a; long b; double c;
TupleLLD() { }
TupleLLD(long a, long b, double c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleLLD that = (TupleLLD) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleLLD that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); if(c == 0) c = Double.compare(this.c, that.c); return c; }
}
class TupleLDI implements Comparable<TupleLDI> {
long a; double b; int c;
TupleLDI() { }
TupleLDI(long a, double b, int c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleLDI that = (TupleLDI) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleLDI that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); if(c == 0) c = Integer.compare(this.c, that.c); return c; }
}
class TupleLDL implements Comparable<TupleLDL> {
long a; double b; long c;
TupleLDL() { }
TupleLDL(long a, double b, long c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleLDL that = (TupleLDL) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleLDL that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); if(c == 0) c = Long.compare(this.c, that.c); return c; }
}
class TupleLDD implements Comparable<TupleLDD> {
long a; double b; double c;
TupleLDD() { }
TupleLDD(long a, double b, double c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleLDD that = (TupleLDD) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleLDD that) { int c = Long.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); if(c == 0) c = Double.compare(this.c, that.c); return c; }
}
class TupleDII implements Comparable<TupleDII> {
double a; int b; int c;
TupleDII() { }
TupleDII(double a, int b, int c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleDII that = (TupleDII) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleDII that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); if(c == 0) c = Integer.compare(this.c, that.c); return c; }
}
class TupleDIL implements Comparable<TupleDIL> {
double a; int b; long c;
TupleDIL() { }
TupleDIL(double a, int b, long c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleDIL that = (TupleDIL) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleDIL that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); if(c == 0) c = Long.compare(this.c, that.c); return c; }
}
class TupleDID implements Comparable<TupleDID> {
double a; int b; double c;
TupleDID() { }
TupleDID(double a, int b, double c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleDID that = (TupleDID) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleDID that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Integer.compare(this.b, that.b); if(c == 0) c = Double.compare(this.c, that.c); return c; }
}
class TupleDLI implements Comparable<TupleDLI> {
double a; long b; int c;
TupleDLI() { }
TupleDLI(double a, long b, int c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleDLI that = (TupleDLI) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleDLI that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); if(c == 0) c = Integer.compare(this.c, that.c); return c; }
}
class TupleDLL implements Comparable<TupleDLL> {
double a; long b; long c;
TupleDLL() { }
TupleDLL(double a, long b, long c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleDLL that = (TupleDLL) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleDLL that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); if(c == 0) c = Long.compare(this.c, that.c); return c; }
}
class TupleDLD implements Comparable<TupleDLD> {
double a; long b; double c;
TupleDLD() { }
TupleDLD(double a, long b, double c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleDLD that = (TupleDLD) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleDLD that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Long.compare(this.b, that.b); if(c == 0) c = Double.compare(this.c, that.c); return c; }
}
class TupleDDI implements Comparable<TupleDDI> {
double a; double b; int c;
TupleDDI() { }
TupleDDI(double a, double b, int c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleDDI that = (TupleDDI) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleDDI that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); if(c == 0) c = Integer.compare(this.c, that.c); return c; }
}
class TupleDDL implements Comparable<TupleDDL> {
double a; double b; long c;
TupleDDL() { }
TupleDDL(double a, double b, long c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleDDL that = (TupleDDL) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleDDL that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); if(c == 0) c = Long.compare(this.c, that.c); return c; }
}
class TupleDDD implements Comparable<TupleDDD> {
double a; double b; double c;
TupleDDD() { }
TupleDDD(double a, double b, double c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleDDD that = (TupleDDD) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override public int compareTo(TupleDDD that) { int c = Double.compare(this.a, that.a); if(c == 0) c = Double.compare(this.b, that.b); if(c == 0) c = Double.compare(this.c, that.c); return c; }
}
public void solve() {
int n = ni();
int m = ni();
boolean b1[] = nb(n + m, '1');
boolean b2[] = nb(n + m, '1');
long sum1[] = sums(b1);
long sum2[] = sums(b2);
long max = 0;
for(int start = 0; start < 2; start ++) {
int prv = start;
long cnt = start;
long ans = 0;
if(max(sum1[1], sum2[1]) < start) continue;
if(min(sum1[1], sum2[1]) > start) continue;
for(int i = 2; i <= n + m; i ++) {
if(cnt < min(sum1[i], sum2[i])) {
cnt ++;
if(prv == 1) ans ++;
prv = 1;
}else if(cnt == max(sum1[i], sum2[i])) {
if(prv == 0) ans ++;
prv = 0;
}else {
cnt += prv;
ans ++;
}
}
max = max(max, ans);
}
prtln(max);
}
}
}
|
ConDefects/ConDefects/Code/arc132_d/Java/30735453
|
condefects-java_data_1865
|
import java.util.*;
public class Main {
public static void main(String[] args)
{
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
int[] a = new int[n];
for(int i = 0; i < n; i++) a[i] = sc.nextInt();
List<Integer> ans = new ArrayList<>();
ans.add(a[0]);
for(int i = 1; i < n; i++){
int tmp = a[i] - a[i - 1];
if(tmp > 1){
for(int j = a[i - 1] - 1; j < a[i]; j++){
ans.add(j);
}
ans.add(a[i]);
} else if(tmp < 0){
for(int j = a[i - 1] - 1; j > a[i]; j--){
ans.add(j);
}
ans.add(a[i]);
} else {
ans.add(a[i]);
}
}
for(int num: ans){
System.out.print(num + " ");
}
}
}
import java.util.*;
public class Main {
public static void main(String[] args)
{
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
int[] a = new int[n];
for(int i = 0; i < n; i++) a[i] = sc.nextInt();
List<Integer> ans = new ArrayList<>();
ans.add(a[0]);
for(int i = 1; i < n; i++){
int tmp = a[i] - a[i - 1];
if(tmp > 1){
for(int j = a[i - 1] + 1; j < a[i]; j++){
ans.add(j);
}
ans.add(a[i]);
} else if(tmp < 0){
for(int j = a[i - 1] - 1; j > a[i]; j--){
ans.add(j);
}
ans.add(a[i]);
} else {
ans.add(a[i]);
}
}
for(int num: ans){
System.out.print(num + " ");
}
}
}
|
ConDefects/ConDefects/Code/abc301_b/Java/43213744
|
condefects-java_data_1866
|
import java.util.*;
public class Main {
public static void main(String[] args){
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
int[] s = new int[n];
for(int i = 0; i < n; i++){
s[i] = sc.nextInt();
}
System.out.print(s[0]+ " ");
for(int i = 0; i < n - 1; i++){
if(s[i] == s[i + 1] + 1 || s[i] == s[i + 1] - 1){
System.out.print(s[i + 1]);
}
else{
if(s[i] < s[i + 1]){
for(int j = s[i] + 1; j <= s[i + 1]; j++){
System.out.print(j + " ");
}
}
else{
for(int j = s[i] - 1; j >= s[i + 1]; j--){
System.out.print(j + " ");
}
}
}
}
}
}
import java.util.*;
public class Main {
public static void main(String[] args){
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
int[] s = new int[n];
for(int i = 0; i < n; i++){
s[i] = sc.nextInt();
}
System.out.print(s[0]+ " ");
for(int i = 0; i < n - 1; i++){
if(s[i] == s[i + 1] + 1 || s[i] == s[i + 1] - 1){
System.out.print(s[i + 1] + " ");
}
else{
if(s[i] < s[i + 1]){
for(int j = s[i] + 1; j <= s[i + 1]; j++){
System.out.print(j + " ");
}
}
else{
for(int j = s[i] - 1; j >= s[i + 1]; j--){
System.out.print(j + " ");
}
}
}
}
}
}
|
ConDefects/ConDefects/Code/abc301_b/Java/43230185
|
condefects-java_data_1867
|
import java.util.*;
public class Main {
public static void main(String[] args){
Scanner sc = new Scanner(System.in);
int n = Integer.parseInt(sc.next());
List<XY> xy = new ArrayList<XY>();
for(int i = 0; i < n; i++){
xy.add(new XY(Integer.parseInt(sc.next()), Integer.parseInt(sc.next())));
}
sc.close();
for(int i = 0; i < n; i++){
float farthestDist = 0;
int farthestPoint = 0;
for(int j = 0; j < n; j++){
float calc = (float)Math.sqrt((Math.pow(xy.get(i).x - xy.get(j).x, 2)) + (Math.pow(xy.get(i).y - xy.get(j).y, 2)));
if(i == j){
}
else if(farthestDist < calc){
farthestDist = calc;
farthestPoint = j+1;
}
}
//System.out.println(farthestPoint);
}
}
}
class XY{
int x;
int y;
XY(int x, int y){
this.x = x;
this.y = y;
}
}
import java.util.*;
public class Main {
public static void main(String[] args){
Scanner sc = new Scanner(System.in);
int n = Integer.parseInt(sc.next());
List<XY> xy = new ArrayList<XY>();
for(int i = 0; i < n; i++){
xy.add(new XY(Integer.parseInt(sc.next()), Integer.parseInt(sc.next())));
}
sc.close();
for(int i = 0; i < n; i++){
float farthestDist = 0;
int farthestPoint = 0;
for(int j = 0; j < n; j++){
float calc = (float)Math.sqrt((Math.pow(xy.get(i).x - xy.get(j).x, 2)) + (Math.pow(xy.get(i).y - xy.get(j).y, 2)));
if(i == j){
}
else if(farthestDist < calc){
farthestDist = calc;
farthestPoint = j+1;
}
}
System.out.println(farthestPoint);
}
}
}
class XY{
int x;
int y;
XY(int x, int y){
this.x = x;
this.y = y;
}
}
|
ConDefects/ConDefects/Code/abc348_b/Java/55141968
|
condefects-java_data_1868
|
import java.util.ArrayList;
import java.util.HashMap;
import java.util.Map;
import java.util.Scanner;
public class Main {
private static Scanner sc = new Scanner(System.in);
private static int firstItem;
private static int seconItem;
private static int thirdItem;
public static void main(String[] args) {
tld(getInputItem());
sc.close();
}
// 標準入力から値を取得
public static String getInputItem() {
return sc.next();
}
// 標準入力から複数値を取得
public static void getInputItems() {
firstItem = sc.nextInt();
seconItem = sc.nextInt();
thirdItem = sc.nextInt();
}
// Stringをintに変換
public static int stringToInt(String str) throws NumberFormatException {
return Integer.parseInt(str);
}
// 複数の標準出力をcharで返す
public static char[] readInputsAsCharArray(int num) {
StringBuilder inputString = new StringBuilder();
for (int i = 0; i < num; i++) {
if (sc.hasNext()) {
String input = sc.next();
inputString.append(input); // 文字列を追加
if (i < num - 1) {
inputString.append(' '); // スペースで区切る
}
}
}
return inputString.toString().toCharArray(); // 最終的な文字列をchar[]に変換して返す
}
// 文字列をChar配列に変換する
public static char[] changeToChar(String originalStr) {
return originalStr.toCharArray();
}
// 双方向矢印型の文字列であるか判定
public static String isBidirectionalArrowString(char[] originalChar) {
int length = originalChar.length;
if (length < 3) return "No";
if(originalChar[0] != '<' || originalChar[length - 1] != '>') return "No";
for (int i = 1; i < originalChar.length - 1; i++) {
if( originalChar[i] != '=') return "No";
}
return "Yes";
}
// 2 つの | の間にある文字および | を S から削除した文字列を出力
public static String outputTrimedStr(char[] originalChar) {
StringBuilder sb = new StringBuilder(new String(originalChar));
int firstIndex = sb.indexOf("|");
int secondIndex = sb.indexOf("|");
sb.delete(firstIndex, secondIndex + 1);
return sb.toString();
}
// 0以上9 以下の整数であって A+B と等しくないものをいずれかひとつ出力
public static int outputWrongAnser(int firstItem,int secondItem) {
int referenceNum = firstItem + secondItem;
int countNum = 0;
for (int i = 0; i < 11; i++) {
if( i != referenceNum ){
System.out.println(i);
countNum += 1;
}
if(countNum == 1) {
break;
}
}
return 0;
}
// 頻度分布
public static String yay(char[] originalChar) {
Map<Character, Integer> frequencyMap = new HashMap<>();
Map<Character, Integer> positionMap = new HashMap<>();
for (int i = 0; i < originalChar.length; i++) {
char ch = originalChar[i];
if (!frequencyMap.containsKey(ch)) {
frequencyMap.put(ch, 1);
positionMap.put(ch, i); // 位置を保存
} else {
frequencyMap.put(ch, frequencyMap.get(ch) + 1);
}
}
// 頻度分布を出力
for (Map.Entry<Character, Integer> entry : frequencyMap.entrySet()) {
if (entry.getValue() == 1) {
System.out.println(positionMap.get(entry.getKey()));
}
}
return "";
}
// Past ABCs
public static String underNum(char[] originalChar){
StringBuilder sb = new StringBuilder(new String(originalChar));
sb.delete(0, 3);
String refStr = sb.toString();
int refInt = Integer.parseInt(refStr);
if (refInt > 350 && refInt < 0) {
return "No";
}
return "Yes";
}
// Dentist Aoki
// 同じ数字が何個あるのか確かめる。
// その数字が奇数ならN-1,偶数ならN-0
public static int Dentist(char[] originalChar) {
Map<Character, Integer> frequencyMap = new HashMap<>();
for (int i = 0; i < originalChar.length; i++) {
char ch = originalChar[i];
if (!frequencyMap.containsKey(ch)) {
frequencyMap.put(ch, 1);
} else {
frequencyMap.put(ch, frequencyMap.get(ch) + 1);
}
}
// 出現頻度が偶数か奇数かの処理分け
for (Map.Entry<Character, Integer> entry : frequencyMap.entrySet()) {
if (entry.getValue() % 2 == 1) {
firstItem -= 1;
}
}
return firstItem;
}
// Print 341
public static void alternating(int num) {
for (int i = 0; i < num; i++) {
System.out.print("1 " + "0 ");;
}
System.out.print("1");
}
public static void Arithmetic(int firstNum, int lastNum, int tolerance) {
for (int i = firstNum; i <= lastNum; i+=tolerance) {
System.out.print(i + " ");
}
}
// TLD
public static void tld(String OriginalItem) {
StringBuilder sb = new StringBuilder(new String(OriginalItem));
int itme = OriginalItem.indexOf(".");
int length = itme + 1;
sb.delete(0, length);
System.out.println(sb);
}
}
import java.util.ArrayList;
import java.util.HashMap;
import java.util.Map;
import java.util.Scanner;
public class Main {
private static Scanner sc = new Scanner(System.in);
private static int firstItem;
private static int seconItem;
private static int thirdItem;
public static void main(String[] args) {
tld(getInputItem());
sc.close();
}
// 標準入力から値を取得
public static String getInputItem() {
return sc.next();
}
// 標準入力から複数値を取得
public static void getInputItems() {
firstItem = sc.nextInt();
seconItem = sc.nextInt();
thirdItem = sc.nextInt();
}
// Stringをintに変換
public static int stringToInt(String str) throws NumberFormatException {
return Integer.parseInt(str);
}
// 複数の標準出力をcharで返す
public static char[] readInputsAsCharArray(int num) {
StringBuilder inputString = new StringBuilder();
for (int i = 0; i < num; i++) {
if (sc.hasNext()) {
String input = sc.next();
inputString.append(input); // 文字列を追加
if (i < num - 1) {
inputString.append(' '); // スペースで区切る
}
}
}
return inputString.toString().toCharArray(); // 最終的な文字列をchar[]に変換して返す
}
// 文字列をChar配列に変換する
public static char[] changeToChar(String originalStr) {
return originalStr.toCharArray();
}
// 双方向矢印型の文字列であるか判定
public static String isBidirectionalArrowString(char[] originalChar) {
int length = originalChar.length;
if (length < 3) return "No";
if(originalChar[0] != '<' || originalChar[length - 1] != '>') return "No";
for (int i = 1; i < originalChar.length - 1; i++) {
if( originalChar[i] != '=') return "No";
}
return "Yes";
}
// 2 つの | の間にある文字および | を S から削除した文字列を出力
public static String outputTrimedStr(char[] originalChar) {
StringBuilder sb = new StringBuilder(new String(originalChar));
int firstIndex = sb.indexOf("|");
int secondIndex = sb.indexOf("|");
sb.delete(firstIndex, secondIndex + 1);
return sb.toString();
}
// 0以上9 以下の整数であって A+B と等しくないものをいずれかひとつ出力
public static int outputWrongAnser(int firstItem,int secondItem) {
int referenceNum = firstItem + secondItem;
int countNum = 0;
for (int i = 0; i < 11; i++) {
if( i != referenceNum ){
System.out.println(i);
countNum += 1;
}
if(countNum == 1) {
break;
}
}
return 0;
}
// 頻度分布
public static String yay(char[] originalChar) {
Map<Character, Integer> frequencyMap = new HashMap<>();
Map<Character, Integer> positionMap = new HashMap<>();
for (int i = 0; i < originalChar.length; i++) {
char ch = originalChar[i];
if (!frequencyMap.containsKey(ch)) {
frequencyMap.put(ch, 1);
positionMap.put(ch, i); // 位置を保存
} else {
frequencyMap.put(ch, frequencyMap.get(ch) + 1);
}
}
// 頻度分布を出力
for (Map.Entry<Character, Integer> entry : frequencyMap.entrySet()) {
if (entry.getValue() == 1) {
System.out.println(positionMap.get(entry.getKey()));
}
}
return "";
}
// Past ABCs
public static String underNum(char[] originalChar){
StringBuilder sb = new StringBuilder(new String(originalChar));
sb.delete(0, 3);
String refStr = sb.toString();
int refInt = Integer.parseInt(refStr);
if (refInt > 350 && refInt < 0) {
return "No";
}
return "Yes";
}
// Dentist Aoki
// 同じ数字が何個あるのか確かめる。
// その数字が奇数ならN-1,偶数ならN-0
public static int Dentist(char[] originalChar) {
Map<Character, Integer> frequencyMap = new HashMap<>();
for (int i = 0; i < originalChar.length; i++) {
char ch = originalChar[i];
if (!frequencyMap.containsKey(ch)) {
frequencyMap.put(ch, 1);
} else {
frequencyMap.put(ch, frequencyMap.get(ch) + 1);
}
}
// 出現頻度が偶数か奇数かの処理分け
for (Map.Entry<Character, Integer> entry : frequencyMap.entrySet()) {
if (entry.getValue() % 2 == 1) {
firstItem -= 1;
}
}
return firstItem;
}
// Print 341
public static void alternating(int num) {
for (int i = 0; i < num; i++) {
System.out.print("1 " + "0 ");;
}
System.out.print("1");
}
public static void Arithmetic(int firstNum, int lastNum, int tolerance) {
for (int i = firstNum; i <= lastNum; i+=tolerance) {
System.out.print(i + " ");
}
}
// TLD
public static void tld(String OriginalItem) {
StringBuilder sb = new StringBuilder(new String(OriginalItem));
int itme = OriginalItem.lastIndexOf(".");
int length = itme + 1;
sb.delete(0, length);
System.out.println(sb);
}
}
|
ConDefects/ConDefects/Code/abc339_a/Java/52948981
|
condefects-java_data_1869
|
import java.util.*;
public class Main{
public static void main(String[] args){
Scanner sc = new Scanner(System.in);
String str = sc.nextLine();
char[] s = str.toCharArray();
int counter = 0;
for (int i = 0; i < s.length; i++){
if (s[i] == '.'){
counter = i;
}
}
for (int j = counter; j < s.length; j++){
System.out.print(s[j]);
}
}
}
import java.util.*;
public class Main{
public static void main(String[] args){
Scanner sc = new Scanner(System.in);
String str = sc.nextLine();
char[] s = str.toCharArray();
int counter = 0;
for (int i = 0; i < s.length; i++){
if (s[i] == '.'){
counter = i;
}
}
for (int j = counter + 1; j < s.length; j++){
System.out.print(s[j]);
}
}
}
|
ConDefects/ConDefects/Code/abc339_a/Java/53214359
|
condefects-java_data_1870
|
import static java.lang.Math.*;
import static java.util.Arrays.*;
import java.io.*;
import java.util.*;
public class Main {
int n;
int res = 0;
int[][] arr;
Map<Integer,Integer>[] xorSet;
private boolean inBound(int x, int y){
return x>=1 && y>=1 && x<=n && y<=n;
}
void solve(){
n = scanner.nextInt();
arr = nextIntGrid(n,n,1);
xorSet = new Map[n+1];
for(int i = 1; i <= n; i++){
xorSet[i]=new HashMap<>();
}
dfs1(1,1,0);
dfs2(n,n,0);
out.println(res);
}
void dfs1(int x, int y, int curr){
if(!inBound(x,y)){
return;
}
if(x+y==n){
int val = (curr^arr[x][y]);
xorSet[x].put(val, xorSet[x].getOrDefault(val, 0) + 1);
return;
}
dfs1(x+1,y,curr^arr[x][y]);
dfs1(x,y+1,curr^arr[x][y]);
}
void dfs2(int x,int y, int curr){
if(!inBound(x,y)){
return;
}
if(x+y==n){
if(xorSet[x].containsKey(curr)){
res+=xorSet[x].get(curr);
}
return;
}
dfs2(x-1,y,curr^arr[x][y]);
dfs2(x,y-1,curr^arr[x][y]);
}
private static final boolean memory = false;
private static final boolean singleTest = true;
// read inputs and call solvers
void run() {
int numOfTests = singleTest? 1: scanner.nextInt();
for(int testIdx = 1; testIdx <= numOfTests; testIdx++){
solve();
}
out.flush();
out.close();
}
// ----- runner templates ----- //
public static void main(String[] args) {
if(memory) {
new Thread(null, () -> new Main().run(), "go", 1 << 26).start();
}
else{
new Main().run();
}
}
//------ input and output ------//
public static FastScanner scanner = new FastScanner(System.in);
public static PrintWriter out = new PrintWriter(new BufferedOutputStream(System.out));
public static class FastScanner {
private InputStream stream;
private byte[] buf = new byte[1024];
private int curChar, numChars;
public FastScanner(InputStream stream) {
this.stream = stream;
}
public int read() {
if (numChars == -1) throw new InputMismatchException();
if (curChar >= numChars) {
curChar = 0;
try {
numChars = stream.read(buf);
} catch (IOException e) {
throw new InputMismatchException();
}
if (numChars <= 0) return -1;
}
return buf[curChar++];
}
public int nextInt() {
int c = read();
while (isWhitespace(c)) {
c = read();
}
boolean negative = false;
if (c == '-') {
negative = true;
c = read();
}
int res = 0;
do {
if (c < '0' || c > '9')
throw new InputMismatchException();
res = res * 10 + c - '0';
c = read();
} while (!isWhitespace(c));
return negative ? -res : res;
}
public long nextLong() {
int c = read();
while (isWhitespace(c)) {
c = read();
}
boolean negative = false;
if (c == '-') {
negative = true;
c = read();
}
long res = 0;
do {
if (c < '0' || c > '9')
throw new InputMismatchException();
res = res * 10 + c - '0';
c = read();
} while (!isWhitespace(c));
return negative ? -res : res;
}
public double nextDouble() {
return Double.parseDouble(next());
}
public char nextChar() {
int c = read();
while (isWhitespace(c)) {
c = read();
}
return (char) c;
}
public String next() {
int c = read();
while (isWhitespace(c)) {
c = read();
}
StringBuilder res = new StringBuilder();
do {
res.appendCodePoint(c);
c = read();
} while (!isWhitespace(c));
return res.toString();
}
private boolean isWhitespace(int c) {
return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
}
}
int[] nextIntArray(int n, int base){
int[] arr = new int[n + base];
for(int i = base; i < n + base; i++){arr[i] = scanner.nextInt();}
return arr;
}
long[] nextLongArray(int n, int base){
long[] arr = new long[n + base];
for(int i = base; i < n + base; i++){arr[i] = scanner.nextLong();}
return arr;
}
int[][] nextIntGrid(int n, int m, int base){
int[][] grid = new int[n + base][m + base];
for(int i = base; i < n + base; i++){for(int j = base; j < m + base; j++){grid[i][j] = scanner.nextInt();}}
return grid;
}
//------ debug and print functions ------//
void debug(Object...os){out.println(deepToString(os));}
void print(int[] arr, int start, int end){for(int i = start; i <= end; i++){out.print(arr[i]);out.print(i==end? '\n':' ');}}
void print(long[] arr, int start, int end){for(int i = start; i <= end; i++){out.print(arr[i]);out.print(i==end? '\n':' ');}}
void print(char[] arr, int start, int end){for(int i = start; i <= end; i++){out.print(arr[i]);out.print(i==end? '\n':' ');}}
void print(Object... o){for(int i = 0; i < o.length; i++){out.print(o[i]);out.print(i==o.length-1?'\n':' ');}}
<T> void printArrayList(List<T> arr, int start, int end){for(int i = start; i <= end; i++){out.print(arr.get(i));out.print(i==end? '\n':' ');}}
//------ sort primitive type arrays ------//
static void sort(int[] arr){
List<Integer> temp = new ArrayList<>();
for(int val: arr){temp.add(val);}
Collections.sort(temp);
for(int i = 0; i < arr.length; i++){arr[i] = temp.get(i);}
}
static void sort(long[] arr){
List<Long> temp = new ArrayList<>();
for(long val: arr){temp.add(val);}
Collections.sort(temp);
for(int i = 0; i < arr.length; i++){arr[i] = temp.get(i);}
}
static void sort(char[] arr) {
List<Character> temp = new ArrayList<>();
for (char val : arr) {temp.add(val);}
Collections.sort(temp);
for (int i = 0; i < arr.length; i++) {arr[i] = temp.get(i);}
}
}
import static java.lang.Math.*;
import static java.util.Arrays.*;
import java.io.*;
import java.util.*;
public class Main {
int n;
long res = 0;
int[][] arr;
Map<Integer,Integer>[] xorSet;
private boolean inBound(int x, int y){
return x>=1 && y>=1 && x<=n && y<=n;
}
void solve(){
n = scanner.nextInt();
arr = nextIntGrid(n,n,1);
xorSet = new Map[n+1];
for(int i = 1; i <= n; i++){
xorSet[i]=new HashMap<>();
}
dfs1(1,1,0);
dfs2(n,n,0);
out.println(res);
}
void dfs1(int x, int y, int curr){
if(!inBound(x,y)){
return;
}
if(x+y==n){
int val = (curr^arr[x][y]);
xorSet[x].put(val, xorSet[x].getOrDefault(val, 0) + 1);
return;
}
dfs1(x+1,y,curr^arr[x][y]);
dfs1(x,y+1,curr^arr[x][y]);
}
void dfs2(int x,int y, int curr){
if(!inBound(x,y)){
return;
}
if(x+y==n){
if(xorSet[x].containsKey(curr)){
res+=xorSet[x].get(curr);
}
return;
}
dfs2(x-1,y,curr^arr[x][y]);
dfs2(x,y-1,curr^arr[x][y]);
}
private static final boolean memory = false;
private static final boolean singleTest = true;
// read inputs and call solvers
void run() {
int numOfTests = singleTest? 1: scanner.nextInt();
for(int testIdx = 1; testIdx <= numOfTests; testIdx++){
solve();
}
out.flush();
out.close();
}
// ----- runner templates ----- //
public static void main(String[] args) {
if(memory) {
new Thread(null, () -> new Main().run(), "go", 1 << 26).start();
}
else{
new Main().run();
}
}
//------ input and output ------//
public static FastScanner scanner = new FastScanner(System.in);
public static PrintWriter out = new PrintWriter(new BufferedOutputStream(System.out));
public static class FastScanner {
private InputStream stream;
private byte[] buf = new byte[1024];
private int curChar, numChars;
public FastScanner(InputStream stream) {
this.stream = stream;
}
public int read() {
if (numChars == -1) throw new InputMismatchException();
if (curChar >= numChars) {
curChar = 0;
try {
numChars = stream.read(buf);
} catch (IOException e) {
throw new InputMismatchException();
}
if (numChars <= 0) return -1;
}
return buf[curChar++];
}
public int nextInt() {
int c = read();
while (isWhitespace(c)) {
c = read();
}
boolean negative = false;
if (c == '-') {
negative = true;
c = read();
}
int res = 0;
do {
if (c < '0' || c > '9')
throw new InputMismatchException();
res = res * 10 + c - '0';
c = read();
} while (!isWhitespace(c));
return negative ? -res : res;
}
public long nextLong() {
int c = read();
while (isWhitespace(c)) {
c = read();
}
boolean negative = false;
if (c == '-') {
negative = true;
c = read();
}
long res = 0;
do {
if (c < '0' || c > '9')
throw new InputMismatchException();
res = res * 10 + c - '0';
c = read();
} while (!isWhitespace(c));
return negative ? -res : res;
}
public double nextDouble() {
return Double.parseDouble(next());
}
public char nextChar() {
int c = read();
while (isWhitespace(c)) {
c = read();
}
return (char) c;
}
public String next() {
int c = read();
while (isWhitespace(c)) {
c = read();
}
StringBuilder res = new StringBuilder();
do {
res.appendCodePoint(c);
c = read();
} while (!isWhitespace(c));
return res.toString();
}
private boolean isWhitespace(int c) {
return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
}
}
int[] nextIntArray(int n, int base){
int[] arr = new int[n + base];
for(int i = base; i < n + base; i++){arr[i] = scanner.nextInt();}
return arr;
}
long[] nextLongArray(int n, int base){
long[] arr = new long[n + base];
for(int i = base; i < n + base; i++){arr[i] = scanner.nextLong();}
return arr;
}
int[][] nextIntGrid(int n, int m, int base){
int[][] grid = new int[n + base][m + base];
for(int i = base; i < n + base; i++){for(int j = base; j < m + base; j++){grid[i][j] = scanner.nextInt();}}
return grid;
}
//------ debug and print functions ------//
void debug(Object...os){out.println(deepToString(os));}
void print(int[] arr, int start, int end){for(int i = start; i <= end; i++){out.print(arr[i]);out.print(i==end? '\n':' ');}}
void print(long[] arr, int start, int end){for(int i = start; i <= end; i++){out.print(arr[i]);out.print(i==end? '\n':' ');}}
void print(char[] arr, int start, int end){for(int i = start; i <= end; i++){out.print(arr[i]);out.print(i==end? '\n':' ');}}
void print(Object... o){for(int i = 0; i < o.length; i++){out.print(o[i]);out.print(i==o.length-1?'\n':' ');}}
<T> void printArrayList(List<T> arr, int start, int end){for(int i = start; i <= end; i++){out.print(arr.get(i));out.print(i==end? '\n':' ');}}
//------ sort primitive type arrays ------//
static void sort(int[] arr){
List<Integer> temp = new ArrayList<>();
for(int val: arr){temp.add(val);}
Collections.sort(temp);
for(int i = 0; i < arr.length; i++){arr[i] = temp.get(i);}
}
static void sort(long[] arr){
List<Long> temp = new ArrayList<>();
for(long val: arr){temp.add(val);}
Collections.sort(temp);
for(int i = 0; i < arr.length; i++){arr[i] = temp.get(i);}
}
static void sort(char[] arr) {
List<Character> temp = new ArrayList<>();
for (char val : arr) {temp.add(val);}
Collections.sort(temp);
for (int i = 0; i < arr.length; i++) {arr[i] = temp.get(i);}
}
}
|
ConDefects/ConDefects/Code/abc271_f/Java/39737411
|
condefects-java_data_1871
|
import java.util.*;
import java.io.*;
class Main{
public static final int [] x8 = {0 , 1,1,1,0,-1,-1,-1};
public static final int [] y8 = {-1,-1,0,1,1, 1, 0,-1};
public static final int [] y4 = {0,1,0,-1};
public static final int [] x4 = {1,0,-1,0};
public static final int MOD = 1000000007;
public static final int INF = Integer.MAX_VALUE;
public static Map<Integer, Integer> fact = new HashMap<>();
public static TreeSet<String> perm = new TreeSet<>();
public static void main(String[] args) throws IOException {
PrintWriter output = new PrintWriter(System.out);
Scanner sc = new Scanner(System.in);
BufferedReader buff = new BufferedReader(new InputStreamReader(System.in));
StringTokenizer st;
//st = new StringTokenizer(buff.readLine());
String N = sc.next();
int len = N.length();
String [] s = new String[len];
for(int i=0;i<len;i++) s[i] = N.substring(i,i+1);
String [] tmp = new String[len];
boolean [] used = new boolean[len];
permutation(s,tmp,used,0,len);
long max = (long)1e-18;
for(String x : perm){
for(int i=1;i<x.length()-1;i++){
String s1 = x.substring(0,i);
String s2 = x.substring(i,x.length());
long v1 = Long.parseLong(s1);
long v2 = Long.parseLong(s2);
int len1 = Long.toString(v1).length();
int len2 = Long.toString(v2).length();
if(len1 == s1.length() && len2 == s2.length()) max = Math.max(max,v1*v2);
}
}
output.print(max);
output.flush();
}
//????????????????????????????????????????????????????????????????????????????????
static void permutation(String[] elements, String[] tmp, boolean[] used, int index,int N) {
if (index == N) {
StringBuilder sb = new StringBuilder();
for(String x : tmp) sb.append(x);
perm.add(sb.toString());
return;
}
for (int i = 0; i < N; i++) {
if (used[i])
continue;
used[i] = true;
tmp[index] = elements[i];
permutation(elements, tmp, used, index + 1,N);
used[i] = false;
}
}
static int Lowerbound(Integer[] ary, int i) {
return ~Arrays.binarySearch(ary, i, (x,y)->x.compareTo(y)>=0?1:-1);
}
static int Upperbound(Integer[] ary, int i) {
return ~Arrays.binarySearch(ary, i, (x,y)->x.compareTo(y)>0?1:-1);
}
static long Lowerbound(Long[] ary, long i) {
return ~Arrays.binarySearch(ary, i, (x,y)->x.compareTo(y)>=0?1:-1);
}
static long Upperbound(Long[] ary, long i) {
return ~Arrays.binarySearch(ary, i, (x,y)->x.compareTo(y)>0?1:-1);
}
static int gcd(int a, int b) {
return b == 0 ? a: gcd(b, a % b);
}
static int lcm(int a, int b) {
return a / gcd(a, b) * b;
}
static long gcd(long a, long b) {
return b == 0 ? a: gcd(b, a % b);
}
static long lcm(long a, long b) {
return a / gcd(a, b) * b;
}
static boolean isprime(int N) {
if(N <= 1)
return false;
else if(N == 2)
return true;
for(int i = 2; i <= Math.sqrt(N); i++)
if(N % i == 0)
return false;
return true;
}
static void factorization(int N){
for(int i = 2; i <= Math.sqrt(N); i ++) {
if(N % i == 0) {
int n = 0;
while(N % i == 0) {
N /= i;
n++;
}
fact.put(i, n);
}
}
if(N > 1) fact.put(N, 1);
}
static class UnionFind {
int[] parent;
int[] rank;
int[] size;
int[] min;
int[] max;
public UnionFind(int n) {
// 初期化コンストラクタ
this.parent = new int[n];
this.rank = new int[n];
this.size = new int[n];
this.min = new int[n];
this.max = new int[n];
// 最初はすべてが根
for (int i = 0; i < n; i++) {
parent[i] = i;
rank[i] = 0;
min[i] = i;
max[i] = i;
size[i] = 1;
}
}
public int getMin_node(int n){
return min[find(n)];
}
public int getMax_node(int n){
return max[find(n)];
}
public int size(int x){
return size[find(x)];
}
/**
* 要素の根を返す。
* 経路圧縮付き。（1→3→2となっていて2をfindした際、1→3,2と木の深さを浅くする。）
*
* @param x
* @return 要素xの根
*/
public int find(int x) {
if (x == parent[x]) {
return x;
} else {
// 経路圧縮時はrank変更しない
parent[x] = find(parent[x]);
return parent[x];
}
}
/**
* ２つの要素が同じ集合に属するかどうかを返す。
*
* @param x
* @param y
* @return 同じ集合であればtrue
*/
public boolean same(int x, int y) {
return find(x) == find(y);
}
/**
* 要素xが属する集合と要素yが属する集合を連結する。
* 木の高さ（ランク）を気にして、低い方に高い方をつなげる。（高い方の根を全体の根とする。）
*
* @param x
* @param y
*/
public void unite(int x, int y) {
int xRoot = find(x);
int yRoot = find(y);
if (xRoot == yRoot) {
// 属する集合が同じな場合、何もしない
return;
}
// rankを比較して共通の根を決定する。
// ※find時の経路圧縮はrank考慮しない
if (rank[xRoot] > rank[yRoot]) {
// xRootのrankのほうが大きければ、共通の根をxRootにする
parent[yRoot] = xRoot;
} else if (rank[xRoot] < rank[yRoot]) {
// yRootのrankのほうが大きければ、共通の根をyRootにする
parent[xRoot] = yRoot;
} else {
// rankが同じであれば、どちらかを根として、rankを一つ上げる。
parent[xRoot] = yRoot;
rank[xRoot]++;
size[yRoot] += size[xRoot];
}
min[yRoot] = Math.min(min[xRoot],min[yRoot]);
max[yRoot] = Math.max(max[xRoot],max[yRoot]);
}
}
}
import java.util.*;
import java.io.*;
class Main{
public static final int [] x8 = {0 , 1,1,1,0,-1,-1,-1};
public static final int [] y8 = {-1,-1,0,1,1, 1, 0,-1};
public static final int [] y4 = {0,1,0,-1};
public static final int [] x4 = {1,0,-1,0};
public static final int MOD = 1000000007;
public static final int INF = Integer.MAX_VALUE;
public static Map<Integer, Integer> fact = new HashMap<>();
public static TreeSet<String> perm = new TreeSet<>();
public static void main(String[] args) throws IOException {
PrintWriter output = new PrintWriter(System.out);
Scanner sc = new Scanner(System.in);
BufferedReader buff = new BufferedReader(new InputStreamReader(System.in));
StringTokenizer st;
//st = new StringTokenizer(buff.readLine());
String N = sc.next();
int len = N.length();
String [] s = new String[len];
for(int i=0;i<len;i++) s[i] = N.substring(i,i+1);
String [] tmp = new String[len];
boolean [] used = new boolean[len];
permutation(s,tmp,used,0,len);
long max = (long)1e-18;
for(String x : perm){
for(int i=1;i<x.length();i++){
String s1 = x.substring(0,i);
String s2 = x.substring(i,x.length());
long v1 = Long.parseLong(s1);
long v2 = Long.parseLong(s2);
int len1 = Long.toString(v1).length();
int len2 = Long.toString(v2).length();
if(len1 == s1.length() && len2 == s2.length()) max = Math.max(max,v1*v2);
}
}
output.print(max);
output.flush();
}
//????????????????????????????????????????????????????????????????????????????????
static void permutation(String[] elements, String[] tmp, boolean[] used, int index,int N) {
if (index == N) {
StringBuilder sb = new StringBuilder();
for(String x : tmp) sb.append(x);
perm.add(sb.toString());
return;
}
for (int i = 0; i < N; i++) {
if (used[i])
continue;
used[i] = true;
tmp[index] = elements[i];
permutation(elements, tmp, used, index + 1,N);
used[i] = false;
}
}
static int Lowerbound(Integer[] ary, int i) {
return ~Arrays.binarySearch(ary, i, (x,y)->x.compareTo(y)>=0?1:-1);
}
static int Upperbound(Integer[] ary, int i) {
return ~Arrays.binarySearch(ary, i, (x,y)->x.compareTo(y)>0?1:-1);
}
static long Lowerbound(Long[] ary, long i) {
return ~Arrays.binarySearch(ary, i, (x,y)->x.compareTo(y)>=0?1:-1);
}
static long Upperbound(Long[] ary, long i) {
return ~Arrays.binarySearch(ary, i, (x,y)->x.compareTo(y)>0?1:-1);
}
static int gcd(int a, int b) {
return b == 0 ? a: gcd(b, a % b);
}
static int lcm(int a, int b) {
return a / gcd(a, b) * b;
}
static long gcd(long a, long b) {
return b == 0 ? a: gcd(b, a % b);
}
static long lcm(long a, long b) {
return a / gcd(a, b) * b;
}
static boolean isprime(int N) {
if(N <= 1)
return false;
else if(N == 2)
return true;
for(int i = 2; i <= Math.sqrt(N); i++)
if(N % i == 0)
return false;
return true;
}
static void factorization(int N){
for(int i = 2; i <= Math.sqrt(N); i ++) {
if(N % i == 0) {
int n = 0;
while(N % i == 0) {
N /= i;
n++;
}
fact.put(i, n);
}
}
if(N > 1) fact.put(N, 1);
}
static class UnionFind {
int[] parent;
int[] rank;
int[] size;
int[] min;
int[] max;
public UnionFind(int n) {
// 初期化コンストラクタ
this.parent = new int[n];
this.rank = new int[n];
this.size = new int[n];
this.min = new int[n];
this.max = new int[n];
// 最初はすべてが根
for (int i = 0; i < n; i++) {
parent[i] = i;
rank[i] = 0;
min[i] = i;
max[i] = i;
size[i] = 1;
}
}
public int getMin_node(int n){
return min[find(n)];
}
public int getMax_node(int n){
return max[find(n)];
}
public int size(int x){
return size[find(x)];
}
/**
* 要素の根を返す。
* 経路圧縮付き。（1→3→2となっていて2をfindした際、1→3,2と木の深さを浅くする。）
*
* @param x
* @return 要素xの根
*/
public int find(int x) {
if (x == parent[x]) {
return x;
} else {
// 経路圧縮時はrank変更しない
parent[x] = find(parent[x]);
return parent[x];
}
}
/**
* ２つの要素が同じ集合に属するかどうかを返す。
*
* @param x
* @param y
* @return 同じ集合であればtrue
*/
public boolean same(int x, int y) {
return find(x) == find(y);
}
/**
* 要素xが属する集合と要素yが属する集合を連結する。
* 木の高さ（ランク）を気にして、低い方に高い方をつなげる。（高い方の根を全体の根とする。）
*
* @param x
* @param y
*/
public void unite(int x, int y) {
int xRoot = find(x);
int yRoot = find(y);
if (xRoot == yRoot) {
// 属する集合が同じな場合、何もしない
return;
}
// rankを比較して共通の根を決定する。
// ※find時の経路圧縮はrank考慮しない
if (rank[xRoot] > rank[yRoot]) {
// xRootのrankのほうが大きければ、共通の根をxRootにする
parent[yRoot] = xRoot;
} else if (rank[xRoot] < rank[yRoot]) {
// yRootのrankのほうが大きければ、共通の根をyRootにする
parent[xRoot] = yRoot;
} else {
// rankが同じであれば、どちらかを根として、rankを一つ上げる。
parent[xRoot] = yRoot;
rank[xRoot]++;
size[yRoot] += size[xRoot];
}
min[yRoot] = Math.min(min[xRoot],min[yRoot]);
max[yRoot] = Math.max(max[xRoot],max[yRoot]);
}
}
}
|
ConDefects/ConDefects/Code/abc221_c/Java/37193350
|
condefects-java_data_1872
|
import java.util.Scanner;
class Main {
static int max;
public static void main(String args[]) {
Scanner sc=new Scanner(System.in);
char[] ch=sc.next().toCharArray();
permute(ch, 0, ch.length-1);
System.out.println(max);
}
static void permute(char[] ch, int l, int r) {
if(l==r) {
for(int i=1;i<ch.length-1;i++) {
String s1=String.valueOf(ch).substring(0,i);
String s2=String.valueOf(ch).substring(i);
if(s1.charAt(0)!='0' && s2.charAt(0)!='0') {
max=Math.max(max, Integer.parseInt(s1)*Integer.parseInt(s2));
}
}
}
else {
for(int i=l;i<=r;i++) {
swap(ch, i, l);
permute(ch, l+1, r);
swap(ch, i, l);
}
}
}
static void swap(char[] ch, int i, int j) {
char temp=ch[i];
ch[i]=ch[j];
ch[j]=temp;
}
}
import java.util.Scanner;
class Main {
static int max;
public static void main(String args[]) {
Scanner sc=new Scanner(System.in);
char[] ch=sc.next().toCharArray();
permute(ch, 0, ch.length-1);
System.out.println(max);
}
static void permute(char[] ch, int l, int r) {
if(l==r) {
for(int i=1;i<ch.length;i++) {
String s1=String.valueOf(ch).substring(0,i);
String s2=String.valueOf(ch).substring(i);
if(s1.charAt(0)!='0' && s2.charAt(0)!='0') {
max=Math.max(max, Integer.parseInt(s1)*Integer.parseInt(s2));
}
}
}
else {
for(int i=l;i<=r;i++) {
swap(ch, i, l);
permute(ch, l+1, r);
swap(ch, i, l);
}
}
}
static void swap(char[] ch, int i, int j) {
char temp=ch[i];
ch[i]=ch[j];
ch[j]=temp;
}
}
|
ConDefects/ConDefects/Code/abc221_c/Java/38678051
|
condefects-java_data_1873
|
import java.util.Scanner;
class Main {
public static void main(String[] args) {
Scanner scanner=new Scanner(System.in);
long n=scanner.nextLong();
long ans=n%998244353;
if(ans>0){
System.out.println(ans);
} else{
ans+=998244353;
System.out.println(ans);
}
}
}
import java.util.Scanner;
class Main {
public static void main(String[] args) {
Scanner scanner=new Scanner(System.in);
long n=scanner.nextLong();
long ans=n%998244353;
if(ans>=0){
System.out.println(ans);
} else{
ans+=998244353;
System.out.println(ans);
}
}
}
|
ConDefects/ConDefects/Code/abc266_b/Java/41620827
|
condefects-java_data_1874
|
import java.util.*;
public class Main {
public static final long big = 998244353;
public static void main(String[] args) {
// TODO 自動生成されたメソッド・スタブ
Scanner sc = new Scanner(System.in);
Long n = sc.nextLong();
Long x = n - big;
Long sub;
if(x < 0) {
sub = -x;
x += sub/big * big;
if(x != 0)x += big;
}else if(x >= big) {
sub = x;
x -= (sub/big - 1) * big;
}
System.out.print(x);
}
}
import java.util.*;
public class Main {
public static final long big = 998244353;
public static void main(String[] args) {
// TODO 自動生成されたメソッド・スタブ
Scanner sc = new Scanner(System.in);
Long n = sc.nextLong();
Long x = n - big;
Long sub;
if(x < 0) {
sub = -x;
x += sub/big * big;
if(x != 0)x += big;
}else if(x >= big) {
sub = x;
x -= (sub/big) * big;
}
System.out.print(x);
}
}
|
ConDefects/ConDefects/Code/abc266_b/Java/40565247
|
condefects-java_data_1875
|
//Har Har Mahadev
import java.io.*;
public class Main
{
public static void main(String[]args)throws IOException
{
BufferedReader buf=new BufferedReader(new InputStreamReader(System.in));
long l=Long.parseLong(buf.readLine());
int mod=998244353;
l=l%mod;
if(mod<0)
l+=mod;
System.out.println(l);
}
}
//Har Har Mahadev
import java.io.*;
public class Main
{
public static void main(String[]args)throws IOException
{
BufferedReader buf=new BufferedReader(new InputStreamReader(System.in));
long l=Long.parseLong(buf.readLine());
int mod=998244353;
l=l%mod;
if(l<0)
l+=mod;
System.out.println(l);
}
}
|
ConDefects/ConDefects/Code/abc266_b/Java/36119404
|
condefects-java_data_1876
|
import java.util.*;
import java.io.IOException;
import java.io.InputStream;
public class Main {
public static void main(String[] args) {
//Scanner sc = new Scanner(System.in);
Main o = new Main();
o.solve();
}
List<List<int[]>> G;
int[] d;
long[][] dp;
long inf = (long)1e18;
public void solve(){
FastScanner sc = new FastScanner(System.in);
int n = sc.nextInt();
G = new ArrayList<>();
d = new int[n + 1];
dp = new long[n + 1][2];
for(int i = 1; i <= n; ++i){
d[i] = sc.nextInt();
G.add(new ArrayList<>());
}
G.add(new ArrayList<>());
for(int i = 1; i < n; ++i){
int u = sc.nextInt(), v = sc.nextInt(), w = sc.nextInt();
G.get(u).add(new int[]{v, w});
G.get(v).add(new int[]{u, w});
}
dfs(1, -1);
long ans = dp[1][1];
System.out.println(ans);
}
public void dfs(int v, int p){
List<Long> l = new ArrayList<>();
for(int[] nxt : G.get(v)){
int u = nxt[0], w = nxt[1];
if(u == p) continue;
dfs(u, v);
l.add(dp[u][0] + (long)w - dp[u][1]);
dp[v][0] += dp[u][1];
dp[v][1] += dp[u][1];
}
Collections.sort(l, Collections.reverseOrder());
for(int i = 0; i < l.size(); ++i){
if(l.get(i) <= 0) break;
if(i < d[v] - 1) dp[v][0] += l.get(i);
if(i < d[v]) dp[v][1] += l.get(i);
}
if(d[v] == 0) dp[v][0] = inf;
}
class FastScanner {
private final InputStream in;
private final byte[] buf = new byte[1024];
private int ptr = 0;
private int buflen = 0;
FastScanner( InputStream source ) { this.in = source; }
private boolean hasNextByte() {
if ( ptr < buflen ) return true;
else {
ptr = 0;
try { buflen = in.read(buf); } catch (IOException e) { e.printStackTrace(); }
if ( buflen <= 0 ) return false;
}
return true;
}
private int readByte() { if ( hasNextByte() ) return buf[ptr++]; else return -1; }
private boolean isPrintableChar( int c ) { return 33 <= c && c <= 126; }
private boolean isNumeric( int c ) { return '0' <= c && c <= '9'; }
private void skipToNextPrintableChar() { while ( hasNextByte() && !isPrintableChar(buf[ptr]) ) ptr++; }
public boolean hasNext() { skipToNextPrintableChar(); return hasNextByte(); }
public String next() {
if ( !hasNext() ) throw new NoSuchElementException();
StringBuilder ret = new StringBuilder();
int b = readByte();
while ( isPrintableChar(b) ) { ret.appendCodePoint(b); b = readByte(); }
return ret.toString();
}
public long nextLong() {
if ( !hasNext() ) throw new NoSuchElementException();
long ret = 0;
int b = readByte();
boolean negative = false;
if ( b == '-' ) { negative = true; if ( hasNextByte() ) b = readByte(); }
if ( !isNumeric(b) ) throw new NumberFormatException();
while ( true ) {
if ( isNumeric(b) ) ret = ret * 10 + b - '0';
else if ( b == -1 || !isPrintableChar(b) ) return negative ? -ret : ret;
else throw new NumberFormatException();
b = readByte();
}
}
public int nextInt() { return (int)nextLong(); }
public double nextDouble() { return Double.parseDouble(next()); }
}
}
import java.util.*;
import java.io.IOException;
import java.io.InputStream;
public class Main {
public static void main(String[] args) {
//Scanner sc = new Scanner(System.in);
Main o = new Main();
o.solve();
}
List<List<int[]>> G;
int[] d;
long[][] dp;
long inf = (long)1e18;
public void solve(){
FastScanner sc = new FastScanner(System.in);
int n = sc.nextInt();
G = new ArrayList<>();
d = new int[n + 1];
dp = new long[n + 1][2];
for(int i = 1; i <= n; ++i){
d[i] = sc.nextInt();
G.add(new ArrayList<>());
}
G.add(new ArrayList<>());
for(int i = 1; i < n; ++i){
int u = sc.nextInt(), v = sc.nextInt(), w = sc.nextInt();
G.get(u).add(new int[]{v, w});
G.get(v).add(new int[]{u, w});
}
dfs(1, -1);
long ans = dp[1][1];
System.out.println(ans);
}
public void dfs(int v, int p){
List<Long> l = new ArrayList<>();
for(int[] nxt : G.get(v)){
int u = nxt[0], w = nxt[1];
if(u == p) continue;
dfs(u, v);
l.add(dp[u][0] + (long)w - dp[u][1]);
dp[v][0] += dp[u][1];
dp[v][1] += dp[u][1];
}
Collections.sort(l, Collections.reverseOrder());
for(int i = 0; i < l.size(); ++i){
if(l.get(i) <= 0) break;
if(i < d[v] - 1) dp[v][0] += l.get(i);
if(i < d[v]) dp[v][1] += l.get(i);
}
if(d[v] == 0) dp[v][0] = -inf;
}
class FastScanner {
private final InputStream in;
private final byte[] buf = new byte[1024];
private int ptr = 0;
private int buflen = 0;
FastScanner( InputStream source ) { this.in = source; }
private boolean hasNextByte() {
if ( ptr < buflen ) return true;
else {
ptr = 0;
try { buflen = in.read(buf); } catch (IOException e) { e.printStackTrace(); }
if ( buflen <= 0 ) return false;
}
return true;
}
private int readByte() { if ( hasNextByte() ) return buf[ptr++]; else return -1; }
private boolean isPrintableChar( int c ) { return 33 <= c && c <= 126; }
private boolean isNumeric( int c ) { return '0' <= c && c <= '9'; }
private void skipToNextPrintableChar() { while ( hasNextByte() && !isPrintableChar(buf[ptr]) ) ptr++; }
public boolean hasNext() { skipToNextPrintableChar(); return hasNextByte(); }
public String next() {
if ( !hasNext() ) throw new NoSuchElementException();
StringBuilder ret = new StringBuilder();
int b = readByte();
while ( isPrintableChar(b) ) { ret.appendCodePoint(b); b = readByte(); }
return ret.toString();
}
public long nextLong() {
if ( !hasNext() ) throw new NoSuchElementException();
long ret = 0;
int b = readByte();
boolean negative = false;
if ( b == '-' ) { negative = true; if ( hasNextByte() ) b = readByte(); }
if ( !isNumeric(b) ) throw new NumberFormatException();
while ( true ) {
if ( isNumeric(b) ) ret = ret * 10 + b - '0';
else if ( b == -1 || !isPrintableChar(b) ) return negative ? -ret : ret;
else throw new NumberFormatException();
b = readByte();
}
}
public int nextInt() { return (int)nextLong(); }
public double nextDouble() { return Double.parseDouble(next()); }
}
}
|
ConDefects/ConDefects/Code/abc259_f/Java/33156933
|
condefects-java_data_1877
|
import java.lang.*;
import java.util.*;
import java.io.*;
import java.math.*;
class Main {
static ArrayList<int[]>[] link;
static ArrayList<int[]>[] child;
static long[][] dp;//0 达到de[i] max ,1 不足de[i] max;
static int[] de;
static void buildTree(int node,int parent) {
ArrayList<int[]> e = link[node];
child[node] = new ArrayList<>();
for(int[] v:e) {
if(v[0] == parent) continue;
child[node].add(v);
buildTree(v[0], node);
}
}
static void dfs(int node) {
if(child[node].size() == 0) {
return ;
}
PriorityQueue<Long> pq = new PriorityQueue<>((o1,o2)->Long.compare(o2, o1));
long sum = 0;
for(int[] v:child[node]) {
dfs(v[0]);
sum += dp[v[0]][0];
long diff = v[1]+dp[v[0]][1]-dp[v[0]][0];
if(diff>0 && de[v[0]]>0) pq.add(diff);
}
int cnt = de[node];
while(cnt>1 && pq.size()>0) {
sum += pq.poll();
cnt--;
}
dp[node][1] = sum;
if(pq.size()>0) {
dp[node][0] = sum+pq.poll();
} else {
dp[node][0] = sum;
}
}
static void out(ArrayList<int[]>[] arr) {
StringBuilder sb = new StringBuilder();
for(int i=0;i<arr.length;i++) {
sb.append("[");
for(int[] e:arr[i]) {
sb.append("{");
sb.append(String.format("%d,%d",e[0],e[1]));
sb.append("},");
}
sb.append("],");
}
System.out.println(sb);
}
public static void deal(int n,int[] d,int[][] edges) {
de = d;
link = new ArrayList[n];
child = new ArrayList[n];
for(int i=0;i<n;i++) link[i] = new ArrayList<>();
for(int[] e:edges) {
link[e[0]].add(new int[]{e[1],e[2]});
link[e[1]].add(new int[]{e[0],e[2]});
}
// System.out.println(Arrays.toString(de));
// out(link);
buildTree(0,-1);
// out(child);
dp = new long[n][2];
dfs(0);
// System.out.println(Arrays.deepToString(dp));
out.println(dp[0][0]);
}
public static void main(String[] args) {
MyScanner sc = new MyScanner();
out = new PrintWriter(new BufferedOutputStream(System.out));
int n = sc.nextInt();
int[] d = new int[n];
for(int i=0;i<n;i++) d[i] = sc.nextInt();
int[][] edges = new int[n-1][3];
for(int i=0;i<n-1;i++) {
edges[i][0] = sc.nextInt()-1;
edges[i][1] = sc.nextInt()-1;
edges[i][2] = sc.nextInt();
}
deal(n,d,edges);
out.close();
}
//-----------PrintWriter for faster output---------------------------------
public static PrintWriter out;
//-----------MyScanner class for faster input----------
public static class MyScanner {
BufferedReader br;
StringTokenizer st;
public MyScanner() {
br = new BufferedReader(new InputStreamReader(System.in));
}
String next() {
while (st == null || !st.hasMoreElements()) {
try {
st = new StringTokenizer(br.readLine());
} catch (IOException e) {
e.printStackTrace();
}
}
return st.nextToken();
}
int nextInt() {
return Integer.parseInt(next());
}
long nextLong() {
return Long.parseLong(next());
}
double nextDouble() {
return Double.parseDouble(next());
}
String nextLine(){
String str = "";
try {
str = br.readLine();
} catch (IOException e) {
e.printStackTrace();
}
return str;
}
}
}
import java.lang.*;
import java.util.*;
import java.io.*;
import java.math.*;
class Main {
static ArrayList<int[]>[] link;
static ArrayList<int[]>[] child;
static long[][] dp;//0 达到de[i] max ,1 不足de[i] max;
static int[] de;
static void buildTree(int node,int parent) {
ArrayList<int[]> e = link[node];
child[node] = new ArrayList<>();
for(int[] v:e) {
if(v[0] == parent) continue;
child[node].add(v);
buildTree(v[0], node);
}
}
static void dfs(int node) {
if(child[node].size() == 0) {
return ;
}
PriorityQueue<Long> pq = new PriorityQueue<>((o1,o2)->Long.compare(o2, o1));
long sum = 0;
for(int[] v:child[node]) {
dfs(v[0]);
sum += dp[v[0]][0];
long diff = v[1]+dp[v[0]][1]-dp[v[0]][0];
if(diff>0 && de[v[0]]>0) pq.add(diff);
}
int cnt = de[node];
while(cnt>1 && pq.size()>0) {
sum += pq.poll();
cnt--;
}
dp[node][1] = sum;
if(pq.size()>0 && cnt>0) {
dp[node][0] = sum+pq.poll();
} else {
dp[node][0] = sum;
}
}
static void out(ArrayList<int[]>[] arr) {
StringBuilder sb = new StringBuilder();
for(int i=0;i<arr.length;i++) {
sb.append("[");
for(int[] e:arr[i]) {
sb.append("{");
sb.append(String.format("%d,%d",e[0],e[1]));
sb.append("},");
}
sb.append("],");
}
System.out.println(sb);
}
public static void deal(int n,int[] d,int[][] edges) {
de = d;
link = new ArrayList[n];
child = new ArrayList[n];
for(int i=0;i<n;i++) link[i] = new ArrayList<>();
for(int[] e:edges) {
link[e[0]].add(new int[]{e[1],e[2]});
link[e[1]].add(new int[]{e[0],e[2]});
}
// System.out.println(Arrays.toString(de));
// out(link);
buildTree(0,-1);
// out(child);
dp = new long[n][2];
dfs(0);
// System.out.println(Arrays.deepToString(dp));
out.println(dp[0][0]);
}
public static void main(String[] args) {
MyScanner sc = new MyScanner();
out = new PrintWriter(new BufferedOutputStream(System.out));
int n = sc.nextInt();
int[] d = new int[n];
for(int i=0;i<n;i++) d[i] = sc.nextInt();
int[][] edges = new int[n-1][3];
for(int i=0;i<n-1;i++) {
edges[i][0] = sc.nextInt()-1;
edges[i][1] = sc.nextInt()-1;
edges[i][2] = sc.nextInt();
}
deal(n,d,edges);
out.close();
}
//-----------PrintWriter for faster output---------------------------------
public static PrintWriter out;
//-----------MyScanner class for faster input----------
public static class MyScanner {
BufferedReader br;
StringTokenizer st;
public MyScanner() {
br = new BufferedReader(new InputStreamReader(System.in));
}
String next() {
while (st == null || !st.hasMoreElements()) {
try {
st = new StringTokenizer(br.readLine());
} catch (IOException e) {
e.printStackTrace();
}
}
return st.nextToken();
}
int nextInt() {
return Integer.parseInt(next());
}
long nextLong() {
return Long.parseLong(next());
}
double nextDouble() {
return Double.parseDouble(next());
}
String nextLine(){
String str = "";
try {
str = br.readLine();
} catch (IOException e) {
e.printStackTrace();
}
return str;
}
}
}
|
ConDefects/ConDefects/Code/abc259_f/Java/33122323
|
condefects-java_data_1878
|
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.math.BigDecimal;
import java.math.BigInteger;
import java.text.DecimalFormat;
import java.util.*;
public class Main {
static final long MOD1=1000000007;
static final long MOD=998244353;
static final int NTT_MOD1 = 998244353;
static final int NTT_MOD2 = 1053818881;
static final int NTT_MOD3 = 1004535809;
static long MAX = 1000000000000000010l;//10^18
public static void main(String[] args){
PrintWriter out = new PrintWriter(System.out);
InputReader sc=new InputReader(System.in);
int n = sc.nextInt();
long[] a = new long[n];
long[] b = new long[n];
HashSet<Long> set = new HashSet<>();
for (int i = 0; i < b.length; i++) {
a[i] = sc.nextLong();
b[i] = sc.nextLong();
set.add(a[i]);
}
int q = sc.nextInt();
int[] t = new int[q];
int[] query_x = new int[q];
long[] query_y = new long[q];
for (int i = 0; i < query_y.length; i++) {
t[i] = sc.nextInt();
query_x[i] = sc.nextInt() - 1;
if (t[i] <= 2) {
query_y[i] = sc.nextLong();
if (t[i] == 1) set.add(query_y[i]);
}
}
ArrayList<Long> list = new ArrayList<>(set);
Collections.sort(list);
HashMap<Long, Integer> map = new HashMap<>();
for (long l : list) map.put(l, map.size());
int s = map.size();
FenwickTree count = new FenwickTree(s);
FenwickTree score = new FenwickTree(s);
for (int i = 0; i < n; i++) {
int c = map.get(a[i]);
count.add(c, b[i]);
score.add(c, b[i] * a[i]);
}
for (int i = 0; i < q; i++) {
if (t[i] == 1) {
int c = map.get(a[query_x[i]]);
count.add(c, -b[query_x[i]]);
score.add(c, -b[query_x[i]] * a[query_x[i]]);
a[query_x[i]] = query_y[i];
c = map.get(query_y[i]);
count.add(c, b[query_x[i]]);
score.add(c, b[query_x[i]] * a[query_x[i]]);
}else if (t[i] == 2) {
int c = map.get(a[query_x[i]]);
count.add(c, -b[query_x[i]] + query_y[i]);
score.add(c, (- b[query_x[i]] + query_y[i]) * a[query_x[i]]);
b[query_x[i]] =query_y[i];
}else {
long r = query_x[i] + 1;
long sum = count.sum(0, s);
if (r > sum) {
out.println(-1);
}else {
int from = 0;
int to = s - 1;
while ((to-from)>=1) {
int mid = (to+from)/2;
if (count.sum(mid, s) <= r) to = mid;
else from = mid + 1;
}
long res = r - count.sum(to, s);
long ans = score.sum(to, s);
if (to - 1 >= 0) ans += res * list.get(to - 1);
out.println(ans);
}
}
}
out.flush();
}
static class FenwickTree{
private int _n;
private long[] data;
public FenwickTree(int n){
this._n = n;
data = new long[n];
}
/**
* @verified https://atcoder.jp/contests/practice2/tasks/practice2_b
* @submission https://atcoder.jp/contests/practice2/submissions/16580495
*/
public FenwickTree(long[] data) {
this(data.length);
build(data);
}
public void set(int p, long x){
add(p, x - get(p));
}
public void add(int p, long x){
assert(0<=p && p<_n);
p++;
while(p<=_n){
data[p-1] += x;
p += p&-p;
}
}
public long sum(int l, int r){
assert(0<=l && l<=r && r<=_n);
return sum(r)-sum(l);
}
public long get(int p){
return sum(p, p+1);
}
private long sum(int r){
long s = 0;
while(r>0){
s += data[r-1];
r -= r&-r;
}
return s;
}
private void build(long[] dat) {
System.arraycopy(dat, 0, data, 0, _n);
for (int i=1; i<=_n; i++) {
int p = i+(i&-i);
if(p<=_n){
data[p-1] += data[i-1];
}
}
}
}
static class InputReader {
private InputStream in;
private byte[] buffer = new byte[1024];
private int curbuf;
private int lenbuf;
public InputReader(InputStream in) {
this.in = in;
this.curbuf = this.lenbuf = 0;
}
public boolean hasNextByte() {
if (curbuf >= lenbuf) {
curbuf = 0;
try {
lenbuf = in.read(buffer);
} catch (IOException e) {
throw new InputMismatchException();
}
if (lenbuf <= 0)
return false;
}
return true;
}
private int readByte() {
if (hasNextByte())
return buffer[curbuf++];
else
return -1;
}
private boolean isSpaceChar(int c) {
return !(c >= 33 && c <= 126);
}
private void skip() {
while (hasNextByte() && isSpaceChar(buffer[curbuf]))
curbuf++;
}
public boolean hasNext() {
skip();
return hasNextByte();
}
public String next() {
if (!hasNext())
throw new NoSuchElementException();
StringBuilder sb = new StringBuilder();
int b = readByte();
while (!isSpaceChar(b)) {
sb.appendCodePoint(b);
b = readByte();
}
return sb.toString();
}
public int nextInt() {
if (!hasNext())
throw new NoSuchElementException();
int c = readByte();
while (isSpaceChar(c))
c = readByte();
boolean minus = false;
if (c == '-') {
minus = true;
c = readByte();
}
int res = 0;
do {
if (c < '0' || c > '9')
throw new InputMismatchException();
res = res * 10 + c - '0';
c = readByte();
} while (!isSpaceChar(c));
return (minus) ? -res : res;
}
public long nextLong() {
if (!hasNext())
throw new NoSuchElementException();
int c = readByte();
while (isSpaceChar(c))
c = readByte();
boolean minus = false;
if (c == '-') {
minus = true;
c = readByte();
}
long res = 0;
do {
if (c < '0' || c > '9')
throw new InputMismatchException();
res = res * 10 + c - '0';
c = readByte();
} while (!isSpaceChar(c));
return (minus) ? -res : res;
}
public double nextDouble() {
return Double.parseDouble(next());
}
public int[] nextIntArray(int n) {
int[] a = new int[n];
for (int i = 0; i < n; i++)
a[i] = nextInt();
return a;
}
public double[] nextDoubleArray(int n) {
double[] a = new double[n];
for (int i = 0; i < n; i++)
a[i] = nextDouble();
return a;
}
public long[] nextLongArray(int n) {
long[] a = new long[n];
for (int i = 0; i < n; i++)
a[i] = nextLong();
return a;
}
public char[][] nextCharMap(int n, int m) {
char[][] map = new char[n][m];
for (int i = 0; i < n; i++)
map[i] = next().toCharArray();
return map;
}
}
}
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.math.BigDecimal;
import java.math.BigInteger;
import java.text.DecimalFormat;
import java.util.*;
public class Main {
static final long MOD1=1000000007;
static final long MOD=998244353;
static final int NTT_MOD1 = 998244353;
static final int NTT_MOD2 = 1053818881;
static final int NTT_MOD3 = 1004535809;
static long MAX = 1000000000000000010l;//10^18
public static void main(String[] args){
PrintWriter out = new PrintWriter(System.out);
InputReader sc=new InputReader(System.in);
int n = sc.nextInt();
long[] a = new long[n];
long[] b = new long[n];
HashSet<Long> set = new HashSet<>();
for (int i = 0; i < b.length; i++) {
a[i] = sc.nextLong();
b[i] = sc.nextLong();
set.add(a[i]);
}
int q = sc.nextInt();
int[] t = new int[q];
int[] query_x = new int[q];
long[] query_y = new long[q];
for (int i = 0; i < query_y.length; i++) {
t[i] = sc.nextInt();
query_x[i] = sc.nextInt() - 1;
if (t[i] <= 2) {
query_y[i] = sc.nextLong();
if (t[i] == 1) set.add(query_y[i]);
}
}
ArrayList<Long> list = new ArrayList<>(set);
Collections.sort(list);
HashMap<Long, Integer> map = new HashMap<>();
for (long l : list) map.put(l, map.size());
int s = map.size();
FenwickTree count = new FenwickTree(s);
FenwickTree score = new FenwickTree(s);
for (int i = 0; i < n; i++) {
int c = map.get(a[i]);
count.add(c, b[i]);
score.add(c, b[i] * a[i]);
}
for (int i = 0; i < q; i++) {
if (t[i] == 1) {
int c = map.get(a[query_x[i]]);
count.add(c, -b[query_x[i]]);
score.add(c, -b[query_x[i]] * a[query_x[i]]);
a[query_x[i]] = query_y[i];
c = map.get(query_y[i]);
count.add(c, b[query_x[i]]);
score.add(c, b[query_x[i]] * a[query_x[i]]);
}else if (t[i] == 2) {
int c = map.get(a[query_x[i]]);
count.add(c, -b[query_x[i]] + query_y[i]);
score.add(c, (- b[query_x[i]] + query_y[i]) * a[query_x[i]]);
b[query_x[i]] =query_y[i];
}else {
long r = query_x[i] + 1;
long sum = count.sum(0, s);
if (r > sum) {
out.println(-1);
}else {
int from = 0;
int to = s;
while ((to-from)>=1) {
int mid = (to+from)/2;
if (count.sum(mid, s) <= r) to = mid;
else from = mid + 1;
}
long res = r - count.sum(to, s);
long ans = score.sum(to, s);
if (to - 1 >= 0) ans += res * list.get(to - 1);
out.println(ans);
}
}
}
out.flush();
}
static class FenwickTree{
private int _n;
private long[] data;
public FenwickTree(int n){
this._n = n;
data = new long[n];
}
/**
* @verified https://atcoder.jp/contests/practice2/tasks/practice2_b
* @submission https://atcoder.jp/contests/practice2/submissions/16580495
*/
public FenwickTree(long[] data) {
this(data.length);
build(data);
}
public void set(int p, long x){
add(p, x - get(p));
}
public void add(int p, long x){
assert(0<=p && p<_n);
p++;
while(p<=_n){
data[p-1] += x;
p += p&-p;
}
}
public long sum(int l, int r){
assert(0<=l && l<=r && r<=_n);
return sum(r)-sum(l);
}
public long get(int p){
return sum(p, p+1);
}
private long sum(int r){
long s = 0;
while(r>0){
s += data[r-1];
r -= r&-r;
}
return s;
}
private void build(long[] dat) {
System.arraycopy(dat, 0, data, 0, _n);
for (int i=1; i<=_n; i++) {
int p = i+(i&-i);
if(p<=_n){
data[p-1] += data[i-1];
}
}
}
}
static class InputReader {
private InputStream in;
private byte[] buffer = new byte[1024];
private int curbuf;
private int lenbuf;
public InputReader(InputStream in) {
this.in = in;
this.curbuf = this.lenbuf = 0;
}
public boolean hasNextByte() {
if (curbuf >= lenbuf) {
curbuf = 0;
try {
lenbuf = in.read(buffer);
} catch (IOException e) {
throw new InputMismatchException();
}
if (lenbuf <= 0)
return false;
}
return true;
}
private int readByte() {
if (hasNextByte())
return buffer[curbuf++];
else
return -1;
}
private boolean isSpaceChar(int c) {
return !(c >= 33 && c <= 126);
}
private void skip() {
while (hasNextByte() && isSpaceChar(buffer[curbuf]))
curbuf++;
}
public boolean hasNext() {
skip();
return hasNextByte();
}
public String next() {
if (!hasNext())
throw new NoSuchElementException();
StringBuilder sb = new StringBuilder();
int b = readByte();
while (!isSpaceChar(b)) {
sb.appendCodePoint(b);
b = readByte();
}
return sb.toString();
}
public int nextInt() {
if (!hasNext())
throw new NoSuchElementException();
int c = readByte();
while (isSpaceChar(c))
c = readByte();
boolean minus = false;
if (c == '-') {
minus = true;
c = readByte();
}
int res = 0;
do {
if (c < '0' || c > '9')
throw new InputMismatchException();
res = res * 10 + c - '0';
c = readByte();
} while (!isSpaceChar(c));
return (minus) ? -res : res;
}
public long nextLong() {
if (!hasNext())
throw new NoSuchElementException();
int c = readByte();
while (isSpaceChar(c))
c = readByte();
boolean minus = false;
if (c == '-') {
minus = true;
c = readByte();
}
long res = 0;
do {
if (c < '0' || c > '9')
throw new InputMismatchException();
res = res * 10 + c - '0';
c = readByte();
} while (!isSpaceChar(c));
return (minus) ? -res : res;
}
public double nextDouble() {
return Double.parseDouble(next());
}
public int[] nextIntArray(int n) {
int[] a = new int[n];
for (int i = 0; i < n; i++)
a[i] = nextInt();
return a;
}
public double[] nextDoubleArray(int n) {
double[] a = new double[n];
for (int i = 0; i < n; i++)
a[i] = nextDouble();
return a;
}
public long[] nextLongArray(int n) {
long[] a = new long[n];
for (int i = 0; i < n; i++)
a[i] = nextLong();
return a;
}
public char[][] nextCharMap(int n, int m) {
char[][] map = new char[n][m];
for (int i = 0; i < n; i++)
map[i] = next().toCharArray();
return map;
}
}
}
|
ConDefects/ConDefects/Code/abc287_g/Java/38436028
|
condefects-java_data_1879
|
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
// TODO 自動生成されたメソッド・スタブ
Scanner input = new Scanner(System.in);
long n = input.nextInt();
System.out.println(Math.pow((long) 2, n));
}
}
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
// TODO 自動生成されたメソッド・スタブ
Scanner input = new Scanner(System.in);
long n = input.nextInt();
System.out.println((long) Math.pow((long) 2, n));
}
}
|
ConDefects/ConDefects/Code/abc256_a/Java/40873575
|
condefects-java_data_1880
|
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner scn = new Scanner(System.in);
int a = scn.nextInt();
System.out.println(Math.pow(2, a));
}
}
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner scn = new Scanner(System.in);
int a = scn.nextInt();
System.out.println((int)Math.pow(2, a));
}
}
|
ConDefects/ConDefects/Code/abc256_a/Java/34066436
|
condefects-java_data_1881
|
import java.util.*;
public class Main{
public static void main(String[] args){
Scanner scan=new Scanner(System.in);
int N=Integer.parseInt(scan.next());
int ans=2;
for(int i=1;i<N;i++){
ans*=2;
}
if(N==0){
ans=0;
}
System.out.println(ans);
}
}
import java.util.*;
public class Main{
public static void main(String[] args){
Scanner scan=new Scanner(System.in);
int N=Integer.parseInt(scan.next());
int ans=2;
for(int i=1;i<N;i++){
ans*=2;
}
if(N==0){
ans=1;
}
System.out.println(ans);
}
}
|
ConDefects/ConDefects/Code/abc256_a/Java/34839601
|
condefects-java_data_1882
|
import java.util.*;
import java.lang.Math.*;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int N = Integer.parseInt(sc.next());
System.out.println(Math.pow(2, N));
}
}
import java.util.*;
import java.lang.Math.*;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int N = Integer.parseInt(sc.next());
System.out.println((int) Math.pow(2, N));
}
}
|
ConDefects/ConDefects/Code/abc256_a/Java/38818397
|
condefects-java_data_1883
|
import java.util.*;
class Main {
public static void main(String[] args) {
Scanner s = new Scanner(System.in);
int x = s.nextInt();
System.out.println(Math.pow(2,x));
}
}
import java.util.*;
class Main {
public static void main(String[] args) {
Scanner s = new Scanner(System.in);
int x = s.nextInt();
System.out.println((int)Math.pow(2,x));
}
}
|
ConDefects/ConDefects/Code/abc256_a/Java/35816714
|
condefects-java_data_1884
|
import java.util.Scanner;
public class Main {
public static void main (String []args) {
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
System.out.println(Math.pow(2, n));
}
}
import java.util.Scanner;
public class Main {
public static void main (String []args) {
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
System.out.println((int)Math.pow(2, n));
}
}
|
ConDefects/ConDefects/Code/abc256_a/Java/38096071
|
condefects-java_data_1885
|
import java.util.Scanner;
class Main {
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
int n=scanner.nextInt();
System.out.println(Math.pow(2,n));
}
}
import java.util.Scanner;
class Main {
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
int n=scanner.nextInt();
System.out.println((int)Math.pow(2,n));
}
}
|
ConDefects/ConDefects/Code/abc256_a/Java/41482671
|
condefects-java_data_1886
|
import java.util.*;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
int ans = 1;
for (int i=0; i<n; i++){
ans *= n;
}
System.out.println(ans);
}
}
import java.util.*;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
int ans = 1;
for (int i=0; i<n; i++){
ans *= 2;
}
System.out.println(ans);
}
}
|
ConDefects/ConDefects/Code/abc256_a/Java/36502447
|
condefects-java_data_1887
|
import java.util.Scanner;
public class Main{
public static void main(String[] args){
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
sc.close();
System.out.println(Math.pow(2, n));
}
}
import java.util.Scanner;
public class Main{
public static void main(String[] args){
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
sc.close();
System.out.println((int)Math.pow(2, n));
}
}
|
ConDefects/ConDefects/Code/abc256_a/Java/41829656
|
condefects-java_data_1888
|
import java.util.*;
class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int x = sc.nextInt();
System.out.println(Math.pow(2,x));
}
}
import java.util.*;
class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int x = sc.nextInt();
System.out.println((int)(Math.pow(2,x)));
}
}
|
ConDefects/ConDefects/Code/abc256_a/Java/35816711
|
condefects-java_data_1889
|
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
sc.close();
int j = 2;
for (int i = 0; i < n; i++) {
j = j * 2;
}
System.out.println(j);
}
}
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
sc.close();
int j = 1;
for (int i = 0; i < n; i++) {
j = j * 2;
}
System.out.println(j);
}
}
|
ConDefects/ConDefects/Code/abc256_a/Java/34127074
|
condefects-java_data_1890
|
import java.util.Scanner;
class Main {
public static void main(String[] args) {
Scanner dd=new Scanner(System.in);
int a=2;
int N = dd.nextInt();
System.out.println( Math.pow(a,N));
}
}
import java.util.Scanner;
class Main {
public static void main(String[] args) {
Scanner dd=new Scanner(System.in);
int a=2;
int N = dd.nextInt();
System.out.println( (int)Math.pow(a,N));
}
}
|
ConDefects/ConDefects/Code/abc256_a/Java/43058988
|
condefects-java_data_1891
|
import java.util.*;
public class Main{
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
double N = Integer.parseInt(sc.next());
System.out.println((long) Math.pow(N, N));
}
}
import java.util.*;
public class Main{
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
double N = Integer.parseInt(sc.next());
System.out.println((long) Math.pow(2, N));
}
}
|
ConDefects/ConDefects/Code/abc256_a/Java/35322264
|
condefects-java_data_1892
|
import java.io.PrintWriter;
import java.math.*;
import java.time.*;
import java.time.format.DateTimeFormatter;
import java.util.*;
class Main {
static void solve (Scanner in, PrintWriter out) {
out.println(BigDecimal.valueOf(Math.pow(2, in.nextInt())).toPlainString());
}
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
PrintWriter out = new PrintWriter(System.out);
solve(in, out);
in.close();
out.close();
}
}
import java.io.PrintWriter;
import java.math.*;
import java.time.*;
import java.time.format.DateTimeFormatter;
import java.util.*;
class Main {
static void solve (Scanner in, PrintWriter out) {
out.println(BigDecimal.valueOf(Math.pow(2, in.nextInt())).setScale(0, RoundingMode.DOWN).toPlainString());
}
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
PrintWriter out = new PrintWriter(System.out);
solve(in, out);
in.close();
out.close();
}
}
|
ConDefects/ConDefects/Code/abc256_a/Java/37230243
|
condefects-java_data_1893
|
import java.io.PrintWriter;
import java.util.*;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
PrintWriter out = new PrintWriter(System.out);
int n = Integer.parseInt(sc.next());
int a = Integer.parseInt(sc.next());
int b = Integer.parseInt(sc.next());
sc.nextLine();
int[] c = Arrays.stream(sc.nextLine().split(" ")).mapToInt(Integer::parseInt).toArray();
for (int i = 0; i < n; ++i) {
if (a + b == c[i]) {
System.out.println(i);
}
}
out.flush();
sc.close();
}
}
import java.io.PrintWriter;
import java.util.*;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
PrintWriter out = new PrintWriter(System.out);
int n = Integer.parseInt(sc.next());
int a = Integer.parseInt(sc.next());
int b = Integer.parseInt(sc.next());
sc.nextLine();
int[] c = Arrays.stream(sc.nextLine().split(" ")).mapToInt(Integer::parseInt).toArray();
for (int i = 0; i < n; ++i) {
if (a + b == c[i]) {
System.out.println(i + 1);
}
}
out.flush();
sc.close();
}
}
|
ConDefects/ConDefects/Code/abc300_a/Java/43450964
|
condefects-java_data_1894
|
public final class Main {
public static void main(String[] args) {
java.util.Scanner scanner = new java.util.Scanner(System.in);
int N = scanner.nextInt();
int A = scanner.nextInt();
int B = scanner.nextInt();
int[] C = new int[N];
for(int i = 0; i < N; i++) {
C[i] = scanner.nextInt();
}
int sum = A + B;
for(int i = 0; i < N; i++) {
if (C[i] == sum) {
System.out.println(i);
break;
}
}
}
}
public final class Main {
public static void main(String[] args) {
java.util.Scanner scanner = new java.util.Scanner(System.in);
int N = scanner.nextInt();
int A = scanner.nextInt();
int B = scanner.nextInt();
int[] C = new int[N];
for(int i = 0; i < N; i++) {
C[i] = scanner.nextInt();
}
int sum = A + B;
for(int i = 0; i < N; i++) {
if (C[i] == sum) {
System.out.println(i + 1);
break;
}
}
}
}
|
ConDefects/ConDefects/Code/abc300_a/Java/41332260
|
condefects-java_data_1895
|
import java.io.*;
import java.util.*;
public class Main {
public static int INF = 0x3f3f3f3f, mod = 1000000007, mod9 = 998244353;
public static void main(String args[]){
try {
PrintWriter o = new PrintWriter(System.out);
boolean multiTest = false;
// init
if(multiTest) {
int t = fReader.nextInt(), loop = 0;
while (loop < t) {loop++;solve(o);}
} else solve(o);
o.close();
} catch (Exception e) {e.printStackTrace();}
}
static int n, q, MAXN = 1000000;
static int[] p = new int[]{13, 131};
static int[] md = new int[]{1331, 13331};
static int[] a = new int[MAXN];
static long[] pa1 = new long[MAXN];
static long[] pa2 = new long[MAXN];
static STAT[] f = new STAT[4*MAXN];
static void solve(PrintWriter o) {
try {
n = fReader.nextInt();
q = fReader.nextInt();
String s = fReader.nextString();
for(int i=0;i<n;i++) a[i] = s.charAt(i)-'a';
pa1[0] = 1l;
pa2[0] = 1l;
for(int i=1;i<=n;i++) pa1[i] = pa1[i-1]*p[0]%md[0];
for(int i=1;i<=n;i++) pa2[i] = pa2[i-1]*p[1]%md[1];
buildTree(1, 1, n);
for(int i=0;i<q;i++) {
int type = fReader.nextInt();
if(type == 1) {
int x = fReader.nextInt();
char c = fReader.nextChar();
update(1, 1, n, x, c-'a');
}
else {
int x = fReader.nextInt(), y = fReader.nextInt();
long[] query = query(1, 1, n, x, y);
if(query[0] == query[1] && query[2] == query[3]) o.println("Yes");
else o.println("No");
}
}
} catch (Exception e) {
e.printStackTrace();
}
}
static void buildTree(int k, int l, int r) {
f[k] = new STAT(0, 0, 0, 0);
if(l == r) {
f[k].fL = a[l-1];
f[k].fR = a[l-1];
f[k].gL = a[l-1];
f[k].gR = a[l-1];
return;
}
int m = (l+r)>>1;
buildTree(2*k, l, m);
buildTree(2*k+1, m+1, r);
pushUp(k, l, r);
}
static void update(int k, int l, int r, int x, int y) {
if(l == r) {
f[k] = new STAT(y, y, y, y);
return;
}
int m = (l+r)>>1;
if(x <= m) update(2*k, l, m, x, y);
else update(2*k+1, m+1, r, x, y);
pushUp(k, l, r);
}
static long[] query(int k, int l, int r, int x, int y) {
if(l == x && r == y) {
return new long[]{f[k].fL, f[k].fR, f[k].gL, f[k].gR};
}
int m = (l+r)>>1;
if(y <= m) return query(2*k, l, m, x, y);
else {
if(x > m) return query(2*k+1, m+1, r, x, y);
long[] L = query(2*k, l, m, x, m);
long[] R = query(2*k+1, m+1, r, m+1, y);
long[] sum = new long[4];
sum[0] = L[0] + pa1[m-x+1]*R[0]%md[0];
sum[1] = R[1] + pa1[y-m]*L[1]%md[0];
sum[2] = L[2] + pa2[m-x+1]*R[2]%md[1];
sum[3] = R[3] + pa2[y-m]*L[3]%md[1];
sum[0] %= md[0];
sum[1] %= md[0];
sum[2] %= md[1];
sum[3] %= md[1];
return sum;
}
}
static void pushUp(int k, int l, int r) {
int m = (l+r)>>1;
f[k].fL = f[2*k].fL + f[2*k+1].fL*pa1[m-l+1]%md[0];
f[k].fL %= md[0];
f[k].fR = f[2*k+1].fR + f[2*k].fR*pa1[r-m]%md[0];
f[k].fR %= md[0];
f[k].gL = f[2*k].gL + f[2*k+1].gL*pa2[m-l+1]%md[1];
f[k].gL %= md[1];
f[k].gR = f[2*k+1].gR + f[2*k].gR*pa2[r-m]%md[1];
f[k].gR %= md[1];
}
static class STAT {
long fL, fR, gL, gR;
public STAT(int fL, int fR, int gL, int gR) {
this.fL = fL;
this.fR = fR;
this.gL = gL;
this.gR = gR;
}
}
public static int upper_bound(List<Integer> a, int val){
int l = 0, r = a.size();
while(l < r){
int mid = l + (r - l) / 2;
if(a.get(mid) <= val) l = mid + 1;
else r = mid;
}
return l;
}
public static int lower_bound(List<Integer> a, int val){
int l = 0, r = a.size();
while(l < r){
int mid = l + (r - l) / 2;
if(a.get(mid) < val) l = mid + 1;
else r = mid;
}
return l;
}
public static long gcd(long a, long b){
return b == 0 ? a : gcd(b, a%b);
}
public static long lcm(long a, long b){
return a / gcd(a,b)*b;
}
public static long qpow(long a, long n, int md){
a %= md;
long ret = 1l;
while(n > 0){
if((n & 1) == 1){
ret = ret * a % md;
}
n >>= 1;
a = a * a % md;
}
return ret;
}
public static class FenWick {
int n;
long[] a;
long[] tree;
public FenWick(int n){
this.n = n;
a = new long[n+1];
tree = new long[n+1];
}
private void add(int x, long val){
while(x <= n){
tree[x] += val;
x += x&-x;
}
}
private void addMx(int x, long val) {
a[x] += val;
tree[x] = a[x];
while(x <= n) {
for(int i=1;i<(x&-x);i<<=1) {
tree[x] = Math.max(tree[x], tree[x-i]);
}
x += x&-x;
}
}
private long query(int x){
long ret = 0l;
while(x > 0){
ret += tree[x];
x -= x&-x;
}
return ret;
}
private long queryMx(int l, int r) {
long res = 0l;
while(l <= r) {
if(r-(r&-r) >= l) {
res = Math.max(res, tree[r]);
r -= r&-r;
}
else {
res = Math.max(res, a[r]);
r--;
}
}
return res;
}
}
public static class Pair{
Integer c1;
String str;
public Pair(Integer c1, String str) {
this.c1 = c1;
this.str = str;
}
@Override
public int hashCode() {
int prime = 31, ret = 1;
ret = ret*prime + c1.hashCode();
return ret;
}
@Override
public boolean equals(Object obj) {
if(obj instanceof Pair) {
return c1.equals(((Pair) obj).c1);
}
return false;
}
}
public static class fReader {
private static BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));
private static StringTokenizer tokenizer = new StringTokenizer("");
private static String next() throws IOException{
while(!tokenizer.hasMoreTokens()){tokenizer = new StringTokenizer(reader.readLine());}
return tokenizer.nextToken();
}
public static int nextInt() throws IOException {return Integer.parseInt(next());}
public static Long nextLong() throws IOException {return Long.parseLong(next());}
public static double nextDouble() throws IOException {return Double.parseDouble(next());}
public static char nextChar() throws IOException {return next().toCharArray()[0];}
public static String nextString() throws IOException {return next();}
public static String nextLine() throws IOException {return reader.readLine();}
}
}
import java.io.*;
import java.util.*;
public class Main {
public static int INF = 0x3f3f3f3f, mod = 1000000007, mod9 = 998244353;
public static void main(String args[]){
try {
PrintWriter o = new PrintWriter(System.out);
boolean multiTest = false;
// init
if(multiTest) {
int t = fReader.nextInt(), loop = 0;
while (loop < t) {loop++;solve(o);}
} else solve(o);
o.close();
} catch (Exception e) {e.printStackTrace();}
}
static int n, q, MAXN = 1000010;
static int[] p = new int[]{13, 131};
static int[] md = new int[]{1331, 13331};
static int[] a = new int[MAXN];
static long[] pa1 = new long[MAXN];
static long[] pa2 = new long[MAXN];
static STAT[] f = new STAT[4*MAXN];
static void solve(PrintWriter o) {
try {
n = fReader.nextInt();
q = fReader.nextInt();
String s = fReader.nextString();
for(int i=0;i<n;i++) a[i] = s.charAt(i)-'a';
pa1[0] = 1l;
pa2[0] = 1l;
for(int i=1;i<=n;i++) pa1[i] = pa1[i-1]*p[0]%md[0];
for(int i=1;i<=n;i++) pa2[i] = pa2[i-1]*p[1]%md[1];
buildTree(1, 1, n);
for(int i=0;i<q;i++) {
int type = fReader.nextInt();
if(type == 1) {
int x = fReader.nextInt();
char c = fReader.nextChar();
update(1, 1, n, x, c-'a');
}
else {
int x = fReader.nextInt(), y = fReader.nextInt();
long[] query = query(1, 1, n, x, y);
if(query[0] == query[1] && query[2] == query[3]) o.println("Yes");
else o.println("No");
}
}
} catch (Exception e) {
e.printStackTrace();
}
}
static void buildTree(int k, int l, int r) {
f[k] = new STAT(0, 0, 0, 0);
if(l == r) {
f[k].fL = a[l-1];
f[k].fR = a[l-1];
f[k].gL = a[l-1];
f[k].gR = a[l-1];
return;
}
int m = (l+r)>>1;
buildTree(2*k, l, m);
buildTree(2*k+1, m+1, r);
pushUp(k, l, r);
}
static void update(int k, int l, int r, int x, int y) {
if(l == r) {
f[k] = new STAT(y, y, y, y);
return;
}
int m = (l+r)>>1;
if(x <= m) update(2*k, l, m, x, y);
else update(2*k+1, m+1, r, x, y);
pushUp(k, l, r);
}
static long[] query(int k, int l, int r, int x, int y) {
if(l == x && r == y) {
return new long[]{f[k].fL, f[k].fR, f[k].gL, f[k].gR};
}
int m = (l+r)>>1;
if(y <= m) return query(2*k, l, m, x, y);
else {
if(x > m) return query(2*k+1, m+1, r, x, y);
long[] L = query(2*k, l, m, x, m);
long[] R = query(2*k+1, m+1, r, m+1, y);
long[] sum = new long[4];
sum[0] = L[0] + pa1[m-x+1]*R[0]%md[0];
sum[1] = R[1] + pa1[y-m]*L[1]%md[0];
sum[2] = L[2] + pa2[m-x+1]*R[2]%md[1];
sum[3] = R[3] + pa2[y-m]*L[3]%md[1];
sum[0] %= md[0];
sum[1] %= md[0];
sum[2] %= md[1];
sum[3] %= md[1];
return sum;
}
}
static void pushUp(int k, int l, int r) {
int m = (l+r)>>1;
f[k].fL = f[2*k].fL + f[2*k+1].fL*pa1[m-l+1]%md[0];
f[k].fL %= md[0];
f[k].fR = f[2*k+1].fR + f[2*k].fR*pa1[r-m]%md[0];
f[k].fR %= md[0];
f[k].gL = f[2*k].gL + f[2*k+1].gL*pa2[m-l+1]%md[1];
f[k].gL %= md[1];
f[k].gR = f[2*k+1].gR + f[2*k].gR*pa2[r-m]%md[1];
f[k].gR %= md[1];
}
static class STAT {
long fL, fR, gL, gR;
public STAT(int fL, int fR, int gL, int gR) {
this.fL = fL;
this.fR = fR;
this.gL = gL;
this.gR = gR;
}
}
public static int upper_bound(List<Integer> a, int val){
int l = 0, r = a.size();
while(l < r){
int mid = l + (r - l) / 2;
if(a.get(mid) <= val) l = mid + 1;
else r = mid;
}
return l;
}
public static int lower_bound(List<Integer> a, int val){
int l = 0, r = a.size();
while(l < r){
int mid = l + (r - l) / 2;
if(a.get(mid) < val) l = mid + 1;
else r = mid;
}
return l;
}
public static long gcd(long a, long b){
return b == 0 ? a : gcd(b, a%b);
}
public static long lcm(long a, long b){
return a / gcd(a,b)*b;
}
public static long qpow(long a, long n, int md){
a %= md;
long ret = 1l;
while(n > 0){
if((n & 1) == 1){
ret = ret * a % md;
}
n >>= 1;
a = a * a % md;
}
return ret;
}
public static class FenWick {
int n;
long[] a;
long[] tree;
public FenWick(int n){
this.n = n;
a = new long[n+1];
tree = new long[n+1];
}
private void add(int x, long val){
while(x <= n){
tree[x] += val;
x += x&-x;
}
}
private void addMx(int x, long val) {
a[x] += val;
tree[x] = a[x];
while(x <= n) {
for(int i=1;i<(x&-x);i<<=1) {
tree[x] = Math.max(tree[x], tree[x-i]);
}
x += x&-x;
}
}
private long query(int x){
long ret = 0l;
while(x > 0){
ret += tree[x];
x -= x&-x;
}
return ret;
}
private long queryMx(int l, int r) {
long res = 0l;
while(l <= r) {
if(r-(r&-r) >= l) {
res = Math.max(res, tree[r]);
r -= r&-r;
}
else {
res = Math.max(res, a[r]);
r--;
}
}
return res;
}
}
public static class Pair{
Integer c1;
String str;
public Pair(Integer c1, String str) {
this.c1 = c1;
this.str = str;
}
@Override
public int hashCode() {
int prime = 31, ret = 1;
ret = ret*prime + c1.hashCode();
return ret;
}
@Override
public boolean equals(Object obj) {
if(obj instanceof Pair) {
return c1.equals(((Pair) obj).c1);
}
return false;
}
}
public static class fReader {
private static BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));
private static StringTokenizer tokenizer = new StringTokenizer("");
private static String next() throws IOException{
while(!tokenizer.hasMoreTokens()){tokenizer = new StringTokenizer(reader.readLine());}
return tokenizer.nextToken();
}
public static int nextInt() throws IOException {return Integer.parseInt(next());}
public static Long nextLong() throws IOException {return Long.parseLong(next());}
public static double nextDouble() throws IOException {return Double.parseDouble(next());}
public static char nextChar() throws IOException {return next().toCharArray()[0];}
public static String nextString() throws IOException {return next();}
public static String nextLine() throws IOException {return reader.readLine();}
}
}
|
ConDefects/ConDefects/Code/abc331_f/Java/48892752
|
condefects-java_data_1896
|
import java.io.PrintWriter;
import java.util.Scanner;
import java.util.Arrays;
import java.util.function.BiFunction;
public class Main {
private static void solve() {
int n = nextInt();
int q = nextInt();
String s = next();
char[] chars = s.toCharArray();
P[] posBase = new P[n];
for (int i = 0; i < n; i++) {
posBase[i] = new P(1, chars[i]-'a');
}
P[] negBase = new P[n];
for (int i = 0; i < n; i++) {
negBase[i] = new P(1, chars[i]-'a');
}
long[] mul = new long[n+6];
mul[0] = 1;
mul[1] = 2;
for (int i = 0; i < n + 5; i++) {
mul[i+1] = mul[i]*2;
}
SegTree<P> pos = new SegTree<>(
posBase,
(a, b) -> new P(a.len + b.len, a.hash * (mul[b.len]) + b.hash),
new P(0, 0)
);
SegTree<P> neg = new SegTree<>(
negBase,
(a, b) -> new P(a.len + b.len, b.hash * (mul[a.len]) + a.hash),
new P(0, 0)
);
while (q-- > 0) {
int t = nextInt();
if (t == 1) {
int x = nextInt() - 1;
char c = next().charAt(0);
pos.updateValue(x, new P(1, c-'a'));
neg.updateValue(x, new P(1, c-'a'));
} else {
int l = nextInt()-1;
int r = nextInt()-1;
if (pos.query(l, r+1).hash == neg.query(l, r+1).hash) {
out.println("Yes");
} else {
out.println("No");
}
}
}
out.flush();
}
private static class P {
int len;
long hash;
public P(int len, long hash) {
this.len = len;
this.hash = hash;
}
}
public static void main(String[] args) {
Thread thread = new Thread(null, () -> solve(), "", 64L * 1024 * 1024);
thread.setUncaughtExceptionHandler((t, e) -> {
e.printStackTrace();
System.exit(1);
});
thread.start();
}
static PrintWriter out = new PrintWriter(System.out);
static Scanner scanner = new Scanner(System.in);
static String next() {
return scanner.next();
}
static int nextInt() {
int res = 0;
char[] chars = next().toCharArray();
boolean minus = chars[0] == '-';
int start = minus ? 1 : 0;
for (int i = start; i < chars.length; i++) {
res = res * 10 + (chars[i] - '0');
}
return minus ? -res : res;
}
static long nextLong() {
long res = 0;
char[] chars = next().toCharArray();
boolean minus = chars[0] == '-';
int start = minus ? 1 : 0;
for (int i = start; i < chars.length; i++) {
res = res * 10 + (chars[i] - '0');
}
return minus ? -res : res;
}
static double nextDouble() {
return Double.parseDouble(next());
}
static int[] nextIntArray(int n) {
int[] array = new int[n];
for (int i = 0; i < n; i++) {
array[i] = nextInt();
}
return array;
}
static long[] nextLongArray(int n) {
long[] array = new long[n];
for (int i = 0; i < n; i++) {
array[i] = nextLong();
}
return array;
}
private static class SegTree<T> {
int n;
T[] tree;
BiFunction<T, T, T> op;
T unit;
private SegTree(T[] array, BiFunction<T, T, T> op, T unit) {
int len = array.length;
n = getSize(len);
tree = (T[]) new Object[2 * n - 1];
this.op = op;
this.unit = unit;
initTree(array, len);
}
private int getSize(final int len) {
int exp = 1;
while (len > exp) {
exp *= 2;
}
return exp;
}
private void initTree(final T[] array, final int len) {
Arrays.fill(tree, unit);
for (int i = 0; i < len; i++) {
tree[i + n - 1] = array[i]; // 葉のindexはn-1から2n-2まで
}
for (int i = n - 2; i >= 0; i--) {
updateNode(i);
}
}
private void updateNode(final int i) {
tree[i] = op.apply(tree[lChildOf(i)], tree[rChildOf(i)]);
}
/**
* 元の配列の値を更新する。
* 親のnodeに遡っての更新もする。
*
* @param i 元の配列のindex
* @param value 更新後の値
*/
public void updateValue(int i, T value) {
int index = i + n - 1;
tree[index] = value;
while (index > 0) {
index = parentOf(index);
updateNode(index);
}
}
/**
* 区間の値を求める
* 実装的には、親から子に下りながら見る。
*
* @param l 左端（inclusive）
* @param r 右端（exclusive）
*/
public T query(int l, int r) {
return doQuery(Math.min(l, r), Math.max(l, r), 0, 0, n);
}
/**
* 値の欲しい範囲が、今調べているnodeと被っていなかったらunitを返す。
* 値の欲しい範囲が広かったら、nodeの値をそのまま返す。
* 値の欲しい範囲が狭かったら、nodeの子に対して再度このメソッドを実行する。
*
* @param l 値の欲しい範囲の左端（inclusive）
* @param r 値の欲しい範囲の右端（exclusive）
* @param node 今調べているnode
* @param lEdge nodeが表す範囲の左端（inclusive）
* @param rEdge nodeが表す範囲の右端（exclusive）
*/
private T doQuery(int l, int r, int node, int lEdge, int rEdge) {
if (rEdge <= l || r <= lEdge) {
return unit;
}
if (l <= lEdge && rEdge <= r) {
return tree[node];
}
return op.apply(
doQuery(l, r, lChildOf(node), lEdge, (lEdge + rEdge) / 2),
doQuery(l, r, rChildOf(node), (lEdge + rEdge) / 2, rEdge)
);
}
private int lChildOf(int i) {
return i * 2 + 1;
}
private int rChildOf(int i) {
return lChildOf(i) + 1;
}
private int parentOf(int i) {
return (i - 1) / 2;
}
}
}
import java.io.PrintWriter;
import java.util.Scanner;
import java.util.Arrays;
import java.util.function.BiFunction;
public class Main {
private static void solve() {
int n = nextInt();
int q = nextInt();
String s = next();
char[] chars = s.toCharArray();
P[] posBase = new P[n];
for (int i = 0; i < n; i++) {
posBase[i] = new P(1, chars[i]-'a');
}
P[] negBase = new P[n];
for (int i = 0; i < n; i++) {
negBase[i] = new P(1, chars[i]-'a');
}
long[] mul = new long[n+6];
mul[0] = 1;
mul[1] = 2;
for (int i = 0; i < n + 5; i++) {
mul[i+1] = mul[i]*3;
}
SegTree<P> pos = new SegTree<>(
posBase,
(a, b) -> new P(a.len + b.len, a.hash * (mul[b.len]) + b.hash),
new P(0, 0)
);
SegTree<P> neg = new SegTree<>(
negBase,
(a, b) -> new P(a.len + b.len, b.hash * (mul[a.len]) + a.hash),
new P(0, 0)
);
while (q-- > 0) {
int t = nextInt();
if (t == 1) {
int x = nextInt() - 1;
char c = next().charAt(0);
pos.updateValue(x, new P(1, c-'a'));
neg.updateValue(x, new P(1, c-'a'));
} else {
int l = nextInt()-1;
int r = nextInt()-1;
if (pos.query(l, r+1).hash == neg.query(l, r+1).hash) {
out.println("Yes");
} else {
out.println("No");
}
}
}
out.flush();
}
private static class P {
int len;
long hash;
public P(int len, long hash) {
this.len = len;
this.hash = hash;
}
}
public static void main(String[] args) {
Thread thread = new Thread(null, () -> solve(), "", 64L * 1024 * 1024);
thread.setUncaughtExceptionHandler((t, e) -> {
e.printStackTrace();
System.exit(1);
});
thread.start();
}
static PrintWriter out = new PrintWriter(System.out);
static Scanner scanner = new Scanner(System.in);
static String next() {
return scanner.next();
}
static int nextInt() {
int res = 0;
char[] chars = next().toCharArray();
boolean minus = chars[0] == '-';
int start = minus ? 1 : 0;
for (int i = start; i < chars.length; i++) {
res = res * 10 + (chars[i] - '0');
}
return minus ? -res : res;
}
static long nextLong() {
long res = 0;
char[] chars = next().toCharArray();
boolean minus = chars[0] == '-';
int start = minus ? 1 : 0;
for (int i = start; i < chars.length; i++) {
res = res * 10 + (chars[i] - '0');
}
return minus ? -res : res;
}
static double nextDouble() {
return Double.parseDouble(next());
}
static int[] nextIntArray(int n) {
int[] array = new int[n];
for (int i = 0; i < n; i++) {
array[i] = nextInt();
}
return array;
}
static long[] nextLongArray(int n) {
long[] array = new long[n];
for (int i = 0; i < n; i++) {
array[i] = nextLong();
}
return array;
}
private static class SegTree<T> {
int n;
T[] tree;
BiFunction<T, T, T> op;
T unit;
private SegTree(T[] array, BiFunction<T, T, T> op, T unit) {
int len = array.length;
n = getSize(len);
tree = (T[]) new Object[2 * n - 1];
this.op = op;
this.unit = unit;
initTree(array, len);
}
private int getSize(final int len) {
int exp = 1;
while (len > exp) {
exp *= 2;
}
return exp;
}
private void initTree(final T[] array, final int len) {
Arrays.fill(tree, unit);
for (int i = 0; i < len; i++) {
tree[i + n - 1] = array[i]; // 葉のindexはn-1から2n-2まで
}
for (int i = n - 2; i >= 0; i--) {
updateNode(i);
}
}
private void updateNode(final int i) {
tree[i] = op.apply(tree[lChildOf(i)], tree[rChildOf(i)]);
}
/**
* 元の配列の値を更新する。
* 親のnodeに遡っての更新もする。
*
* @param i 元の配列のindex
* @param value 更新後の値
*/
public void updateValue(int i, T value) {
int index = i + n - 1;
tree[index] = value;
while (index > 0) {
index = parentOf(index);
updateNode(index);
}
}
/**
* 区間の値を求める
* 実装的には、親から子に下りながら見る。
*
* @param l 左端（inclusive）
* @param r 右端（exclusive）
*/
public T query(int l, int r) {
return doQuery(Math.min(l, r), Math.max(l, r), 0, 0, n);
}
/**
* 値の欲しい範囲が、今調べているnodeと被っていなかったらunitを返す。
* 値の欲しい範囲が広かったら、nodeの値をそのまま返す。
* 値の欲しい範囲が狭かったら、nodeの子に対して再度このメソッドを実行する。
*
* @param l 値の欲しい範囲の左端（inclusive）
* @param r 値の欲しい範囲の右端（exclusive）
* @param node 今調べているnode
* @param lEdge nodeが表す範囲の左端（inclusive）
* @param rEdge nodeが表す範囲の右端（exclusive）
*/
private T doQuery(int l, int r, int node, int lEdge, int rEdge) {
if (rEdge <= l || r <= lEdge) {
return unit;
}
if (l <= lEdge && rEdge <= r) {
return tree[node];
}
return op.apply(
doQuery(l, r, lChildOf(node), lEdge, (lEdge + rEdge) / 2),
doQuery(l, r, rChildOf(node), (lEdge + rEdge) / 2, rEdge)
);
}
private int lChildOf(int i) {
return i * 2 + 1;
}
private int rChildOf(int i) {
return lChildOf(i) + 1;
}
private int parentOf(int i) {
return (i - 1) / 2;
}
}
}
|
ConDefects/ConDefects/Code/abc331_f/Java/48147135
|
condefects-java_data_1897
|
import java.io.*;
import java.util.*;
import java.util.function.*;
class ModCalculator {
private final long mod;
private final ModInverseCache modInverseCache;
private final ModCombinationCache modCombinationCache;
ModCalculator(long mod) {
this.mod = mod;
this.modInverseCache = new ModInverseCache();
this.modCombinationCache = new ModCombinationCache();
}
public long norm(long v) {
long nogmalized = v % mod;
if (nogmalized < 0) {
nogmalized += mod;
}
return nogmalized;
}
public long add(long a, long b) { return norm(a + b); }
public long sub(long a, long b) { return norm(a - b + mod); }
public long mul(long a, long b) { return norm(a * b); }
public long pow(long a, long b) {
if (b == 0) {
return 1;
}
long v = pow(mul(a, a), b / 2);
if (b % 2 == 1) {
return mul(v, a);
} else {
return v;
}
}
public long inverse(long a) { return pow(a, mod - 2); }
public long inverseFromCache(int a) { return modInverseCache.get(a); }
public long div(long a, long b) { return mul(a, inverse(b)); }
// Verify ARC 042 D
// https://atcoder.jp/contests/arc042/tasks/arc042_d
// a^x mod p === b
// return -1 there is no such positive x
public long log(long a, long b) {
Map<Long, Long> map = new HashMap<>();
long powA = 1;
long rootP = 0;
while (true) {
if (powA == b && rootP != 0) {
return rootP;
}
if (map.containsKey(powA)) {
return -1;
}
map.put(powA, rootP);
powA = mul(powA, a);
rootP++;
if (rootP * rootP > mod) {
break;
}
}
long inversePowA = inverse(powA);
for (int i = 1; i <= rootP; i++) {
b = mul(b, inversePowA);
Long value = map.get(b);
if (value != null && value + rootP * i > 0) {
return value + rootP * i;
}
}
return -1;
}
public long getF(int n) { return modCombinationCache.getF(n); }
public long getP(int n, int r) { return modCombinationCache.getP(n, r); }
public long getC(int n, int k) { return modCombinationCache.getC(n, k); }
// Verify ttpc2019 J
// https://atcoder.jp/contests/ttpc2019/tasks/ttpc2019_j
class PrimitiveLongList {
long[] values;
int size;
public PrimitiveLongList() { values = new long[10]; }
private void resize() {
long[] newValues = new long[values.length * 2];
System.arraycopy(values, 0, newValues, 0, values.length);
values = newValues;
}
public void add(long value) {
if (size >= values.length) {
resize();
}
values[size] = value;
size++;
}
private void validateIndex(int index) {
if (index < 0 || size <= index) {
throw new IndexOutOfBoundsException(
String.format("size: %d, index: %d", size, index));
}
}
public long get(int index) {
validateIndex(index);
return values[index];
}
public void set(int index, long value) {
validateIndex(index);
values[index] = value;
}
public int size() { return size; }
}
// Verify AGC 040 C
// https://atcoder.jp/contests/agc040/tasks/agc040_c
class ModInverseCache {
private final PrimitiveLongList inverseCache;
public ModInverseCache() {
inverseCache = new PrimitiveLongList();
inverseCache.add(0L);
inverseCache.add(1L);
}
private void resize(int n) {
for (int i = inverseCache.size(); i <= n; i++) {
long k = mod / i;
int r = (int)(mod % i);
long inverse = mul(-k, inverseCache.get(r));
inverseCache.add(inverse);
}
}
long get(int n) {
resize(n);
return inverseCache.get(n);
}
}
class ModCombinationCache {
private final PrimitiveLongList factorialCache;
private final PrimitiveLongList factorialInverseCache;
public ModCombinationCache() {
factorialCache = new PrimitiveLongList();
factorialCache.add(1L);
factorialInverseCache = new PrimitiveLongList();
factorialInverseCache.add(1L);
}
private void resize(int n) {
for (int i = factorialCache.size() - 1; i < n; i++) {
factorialCache.add(mul(factorialCache.get(i), i + 1));
factorialInverseCache.add(
mul(factorialInverseCache.get(i), modInverseCache.get(i + 1)));
}
}
long getF(int n) {
resize(n);
return factorialCache.get(n);
}
long getP(int n, int r) {
resize(n);
return mul(factorialCache.get(n), factorialInverseCache.get(n - r));
}
long getC(int n, int k) {
resize(n);
return mul(factorialCache.get(n), mul(factorialInverseCache.get(k),
factorialInverseCache.get(n - k)));
}
}
}
class Solver {
private final int n;
private final int[][] abs;
private List<List<Integer>> graph;
private ModCalculator mc;
private long[] mergeHalf(long[] dp1, long[] dp2) {
int s1 = dp1.length;
int s2 = dp2.length;
long[] output = new long[s1 + s2];
for (int i = 0; i < s1; i++) {
long dp2sum = 0;
for (int k = s2 - 1; k >= 0; k--) {
dp2sum = mc.add(dp2sum, dp2[k]);
long v = mc.mul(dp1[i], dp2sum);
v = mc.mul(v, mc.getC(i + k, k));
v = mc.mul(v, mc.getC(s1 - i - 1 + s2 - k, s2 - k));
v = mc.add(v, output[i + k]);
output[i + k] = v;
}
}
return output;
}
private long[] merge(long[] dp1, long[] dp2) {
if (dp1 == null) {
return dp2;
}
if (dp2 == null) {
return dp1;
}
long[] output1 = mergeHalf(dp1, dp2);
long[] output2 = mergeHalf(dp2, dp1);
for (int i = 0; i < output1.length; i++) {
output1[i] = mc.add(output1[i], output2[i]);
}
return output1;
}
private long[] dfs(int index, int parentIndex) {
long[] dp = null;
for (int childIndex : graph.get(index)) {
if (childIndex == parentIndex) {
continue;
}
dp = merge(dp, dfs(childIndex, index));
}
if (dp == null) {
return new long[]{1};
}
long[] outputReverse = new long[dp.length + 1];
outputReverse[dp.length] = 0;
for (int i = dp.length - 1; i >= 0; i--) {
outputReverse[i] = outputReverse[i + 1] + dp[i];
}
long[] output = new long[outputReverse.length];
for (int i = 0; i < outputReverse.length; i++) {
output[i] = outputReverse[outputReverse.length - 1 - i];
}
return output;
}
public Solver(int n, int[][] abs) {
this.n = n;
this.abs = abs;
}
public long solve() {
graph = new ArrayList<>();
for (int i = 0; i <= n; i++) {
graph.add(new ArrayList<>());
}
mc = new ModCalculator(998244353);
for (int[] ab : abs) {
int a = ab[0];
int b = ab[1];
graph.get(a).add(b);
graph.get(b).add(a);
}
long[] dp = dfs(1, -1);
long answer = 0;
for (long v : dp) {
answer = mc.add(answer, v);
}
return mc.mul(answer, 2);
}
};
public class Main {
private static void execute(ContestReader reader, ContestWriter out) {
int n = reader.nextInt();
int[][] abs = reader.nextInt(n - 1, 2);
out.println(new Solver(n, abs).solve());
}
public static void main(String[] args) {
ContestReader reader = new ContestReader(System.in);
ContestWriter out = new ContestWriter(System.out);
execute(reader, out);
out.flush();
}
}
class ContestWriter extends PrintWriter {
ContestWriter(PrintStream printStream) {
super(printStream);
}
public void printList(List<? extends Object> list) {
for (Object object : list) {
println(object);
}
}
public void printListOneLine(List<? extends Object> list) {
List<String> stringList = new ArrayList<>();
for (Object object : list) {
stringList.add(object.toString());
}
println(String.join(" ", stringList));
}
}
class ContestReader {
private static final int BUFFER_SIZE = 1024;
private final InputStream stream;
private final byte[] buffer;
private int pointer;
private int bufferLength;
ContestReader(InputStream stream) {
this.stream = stream;
this.buffer = new byte[BUFFER_SIZE];
this.pointer = 0;
this.bufferLength = 0;
}
private boolean hasNextByte() {
if (pointer < bufferLength) {
return true;
}
pointer = 0;
try {
bufferLength = stream.read(buffer);
} catch (IOException e) {
throw new RuntimeException(e);
}
return bufferLength > 0;
}
private int readByte() {
if (hasNextByte()) {
return buffer[pointer++];
} else {
return -1;
}
}
private static boolean isPrintableChar(int c) {
return 33 <= c && c <= 126;
}
public boolean hasNext() {
while (hasNextByte() && !isPrintableChar(buffer[pointer])) {
pointer++;
}
return hasNextByte();
}
public String next() {
if (!hasNext()) {
throw new NoSuchElementException();
}
StringBuilder sb = new StringBuilder();
while(true) {
int b = readByte();
if (!isPrintableChar(b)) {
break;
}
sb.appendCodePoint(b);
}
return sb.toString();
}
public String nextLine() {
if (!hasNext()) {
throw new NoSuchElementException();
}
StringBuilder sb = new StringBuilder();
while(true) {
int b = readByte();
if (!isPrintableChar(b) && b != 0x20) {
break;
}
sb.appendCodePoint(b);
}
return sb.toString();
}
public char nextChar() {
return next().charAt(0);
}
public int nextInt() {
if (!hasNext()) {
throw new NoSuchElementException();
}
int n = 0;
boolean minus = false;
{
int b = readByte();
if (b == '-') {
minus = true;
} else if ('0' <= b && b <= '9') {
n = b - '0';
} else {
throw new NumberFormatException();
}
}
while(true){
int b = readByte();
if ('0' <= b && b <= '9') {
n *= 10;
n += b - '0';
} else if (b == -1 || !isPrintableChar(b)) {
return minus ? -n : n;
} else {
throw new NumberFormatException();
}
}
}
public long nextLong() {
if (!hasNext()) {
throw new NoSuchElementException();
}
long n = 0;
boolean minus = false;
{
int b = readByte();
if (b == '-') {
minus = true;
} else if ('0' <= b && b <= '9') {
n = b - '0';
} else {
throw new NumberFormatException();
}
}
while(true){
int b = readByte();
if ('0' <= b && b <= '9') {
n *= 10;
n += b - '0';
} else if (b == -1 || !isPrintableChar(b)) {
return minus ? -n : n;
} else {
throw new NumberFormatException();
}
}
}
public double nextDouble() {
return Double.parseDouble(next());
}
public String[] next(int n) {
String[] array = new String[n];
for (int i = 0; i < n; i++) {
array[i] = next();
}
return array;
}
public String[] nextLine(int n) {
String[] array = new String[n];
for (int i = 0; i < n; i++) {
array[i] = nextLine();
}
return array;
}
public char[] nextChar(int n) {
char[] array = new char[n];
for (int i = 0; i < n; i++) {
array[i] = nextChar();
}
return array;
}
public int[] nextInt(int n) {
int[] array = new int[n];
for (int i = 0; i < n; i++) {
array[i] = nextInt();
}
return array;
}
public long[] nextLong(int n) {
long[] array = new long[n];
for (int i = 0; i < n; i++) {
array[i] = nextLong();
}
return array;
}
public double[] nextDouble(int n) {
double[] array = new double[n];
for (int i = 0; i < n; i++) {
array[i] = nextDouble();
}
return array;
}
public char[] nextCharArray() {
return next().toCharArray();
}
public String[][] next(int n, int m) {
String[][] matrix = new String[n][m];
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
matrix[i][j] = next();
}
}
return matrix;
}
public int[][] nextInt(int n, int m) {
int[][] matrix = new int[n][m];
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
matrix[i][j] = nextInt();
}
}
return matrix;
}
public char[][] nextChar(int n, int m) {
char[][] matrix = new char[n][m];
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
matrix[i][j] = nextChar();
}
}
return matrix;
}
public long[][] nextLong(int n, int m) {
long[][] matrix = new long[n][m];
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
matrix[i][j] = nextLong();
}
}
return matrix;
}
public double[][] nextDouble(int n, int m) {
double[][] matrix = new double[n][m];
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
matrix[i][j] = nextDouble();
}
}
return matrix;
}
public char[][] nextCharArray(int n) {
char[][] matrix = new char[n][];
for (int i = 0; i < n; i++) {
matrix[i] = next().toCharArray();
}
return matrix;
}
}
class MyAssert {
public static void myAssert(boolean flag, String message) {
if (!flag) {
throw new RuntimeException(message);
}
}
public static void myAssert(boolean flag) {
myAssert(flag, "");
}
}
import java.io.*;
import java.util.*;
import java.util.function.*;
class ModCalculator {
private final long mod;
private final ModInverseCache modInverseCache;
private final ModCombinationCache modCombinationCache;
ModCalculator(long mod) {
this.mod = mod;
this.modInverseCache = new ModInverseCache();
this.modCombinationCache = new ModCombinationCache();
}
public long norm(long v) {
long nogmalized = v % mod;
if (nogmalized < 0) {
nogmalized += mod;
}
return nogmalized;
}
public long add(long a, long b) { return norm(a + b); }
public long sub(long a, long b) { return norm(a - b + mod); }
public long mul(long a, long b) { return norm(a * b); }
public long pow(long a, long b) {
if (b == 0) {
return 1;
}
long v = pow(mul(a, a), b / 2);
if (b % 2 == 1) {
return mul(v, a);
} else {
return v;
}
}
public long inverse(long a) { return pow(a, mod - 2); }
public long inverseFromCache(int a) { return modInverseCache.get(a); }
public long div(long a, long b) { return mul(a, inverse(b)); }
// Verify ARC 042 D
// https://atcoder.jp/contests/arc042/tasks/arc042_d
// a^x mod p === b
// return -1 there is no such positive x
public long log(long a, long b) {
Map<Long, Long> map = new HashMap<>();
long powA = 1;
long rootP = 0;
while (true) {
if (powA == b && rootP != 0) {
return rootP;
}
if (map.containsKey(powA)) {
return -1;
}
map.put(powA, rootP);
powA = mul(powA, a);
rootP++;
if (rootP * rootP > mod) {
break;
}
}
long inversePowA = inverse(powA);
for (int i = 1; i <= rootP; i++) {
b = mul(b, inversePowA);
Long value = map.get(b);
if (value != null && value + rootP * i > 0) {
return value + rootP * i;
}
}
return -1;
}
public long getF(int n) { return modCombinationCache.getF(n); }
public long getP(int n, int r) { return modCombinationCache.getP(n, r); }
public long getC(int n, int k) { return modCombinationCache.getC(n, k); }
// Verify ttpc2019 J
// https://atcoder.jp/contests/ttpc2019/tasks/ttpc2019_j
class PrimitiveLongList {
long[] values;
int size;
public PrimitiveLongList() { values = new long[10]; }
private void resize() {
long[] newValues = new long[values.length * 2];
System.arraycopy(values, 0, newValues, 0, values.length);
values = newValues;
}
public void add(long value) {
if (size >= values.length) {
resize();
}
values[size] = value;
size++;
}
private void validateIndex(int index) {
if (index < 0 || size <= index) {
throw new IndexOutOfBoundsException(
String.format("size: %d, index: %d", size, index));
}
}
public long get(int index) {
validateIndex(index);
return values[index];
}
public void set(int index, long value) {
validateIndex(index);
values[index] = value;
}
public int size() { return size; }
}
// Verify AGC 040 C
// https://atcoder.jp/contests/agc040/tasks/agc040_c
class ModInverseCache {
private final PrimitiveLongList inverseCache;
public ModInverseCache() {
inverseCache = new PrimitiveLongList();
inverseCache.add(0L);
inverseCache.add(1L);
}
private void resize(int n) {
for (int i = inverseCache.size(); i <= n; i++) {
long k = mod / i;
int r = (int)(mod % i);
long inverse = mul(-k, inverseCache.get(r));
inverseCache.add(inverse);
}
}
long get(int n) {
resize(n);
return inverseCache.get(n);
}
}
class ModCombinationCache {
private final PrimitiveLongList factorialCache;
private final PrimitiveLongList factorialInverseCache;
public ModCombinationCache() {
factorialCache = new PrimitiveLongList();
factorialCache.add(1L);
factorialInverseCache = new PrimitiveLongList();
factorialInverseCache.add(1L);
}
private void resize(int n) {
for (int i = factorialCache.size() - 1; i < n; i++) {
factorialCache.add(mul(factorialCache.get(i), i + 1));
factorialInverseCache.add(
mul(factorialInverseCache.get(i), modInverseCache.get(i + 1)));
}
}
long getF(int n) {
resize(n);
return factorialCache.get(n);
}
long getP(int n, int r) {
resize(n);
return mul(factorialCache.get(n), factorialInverseCache.get(n - r));
}
long getC(int n, int k) {
resize(n);
return mul(factorialCache.get(n), mul(factorialInverseCache.get(k),
factorialInverseCache.get(n - k)));
}
}
}
class Solver {
private final int n;
private final int[][] abs;
private List<List<Integer>> graph;
private ModCalculator mc;
private long[] mergeHalf(long[] dp1, long[] dp2) {
int s1 = dp1.length;
int s2 = dp2.length;
long[] output = new long[s1 + s2];
for (int i = 0; i < s1; i++) {
long dp2sum = 0;
for (int k = s2 - 1; k >= 0; k--) {
dp2sum = mc.add(dp2sum, dp2[k]);
long v = mc.mul(dp1[i], dp2sum);
v = mc.mul(v, mc.getC(i + k, k));
v = mc.mul(v, mc.getC(s1 - i - 1 + s2 - k, s2 - k));
v = mc.add(v, output[i + k]);
output[i + k] = v;
}
}
return output;
}
private long[] merge(long[] dp1, long[] dp2) {
if (dp1 == null) {
return dp2;
}
if (dp2 == null) {
return dp1;
}
long[] output1 = mergeHalf(dp1, dp2);
long[] output2 = mergeHalf(dp2, dp1);
for (int i = 0; i < output1.length; i++) {
output1[i] = mc.add(output1[i], output2[i]);
}
return output1;
}
private long[] dfs(int index, int parentIndex) {
long[] dp = null;
for (int childIndex : graph.get(index)) {
if (childIndex == parentIndex) {
continue;
}
dp = merge(dp, dfs(childIndex, index));
}
if (dp == null) {
return new long[]{1};
}
long[] outputReverse = new long[dp.length + 1];
outputReverse[dp.length] = 0;
for (int i = dp.length - 1; i >= 0; i--) {
outputReverse[i] = mc.add(outputReverse[i + 1], dp[i]);
}
long[] output = new long[outputReverse.length];
for (int i = 0; i < outputReverse.length; i++) {
output[i] = outputReverse[outputReverse.length - 1 - i];
}
return output;
}
public Solver(int n, int[][] abs) {
this.n = n;
this.abs = abs;
}
public long solve() {
graph = new ArrayList<>();
for (int i = 0; i <= n; i++) {
graph.add(new ArrayList<>());
}
mc = new ModCalculator(998244353);
for (int[] ab : abs) {
int a = ab[0];
int b = ab[1];
graph.get(a).add(b);
graph.get(b).add(a);
}
long[] dp = dfs(1, -1);
long answer = 0;
for (long v : dp) {
answer = mc.add(answer, v);
}
return mc.mul(answer, 2);
}
};
public class Main {
private static void execute(ContestReader reader, ContestWriter out) {
int n = reader.nextInt();
int[][] abs = reader.nextInt(n - 1, 2);
out.println(new Solver(n, abs).solve());
}
public static void main(String[] args) {
ContestReader reader = new ContestReader(System.in);
ContestWriter out = new ContestWriter(System.out);
execute(reader, out);
out.flush();
}
}
class ContestWriter extends PrintWriter {
ContestWriter(PrintStream printStream) {
super(printStream);
}
public void printList(List<? extends Object> list) {
for (Object object : list) {
println(object);
}
}
public void printListOneLine(List<? extends Object> list) {
List<String> stringList = new ArrayList<>();
for (Object object : list) {
stringList.add(object.toString());
}
println(String.join(" ", stringList));
}
}
class ContestReader {
private static final int BUFFER_SIZE = 1024;
private final InputStream stream;
private final byte[] buffer;
private int pointer;
private int bufferLength;
ContestReader(InputStream stream) {
this.stream = stream;
this.buffer = new byte[BUFFER_SIZE];
this.pointer = 0;
this.bufferLength = 0;
}
private boolean hasNextByte() {
if (pointer < bufferLength) {
return true;
}
pointer = 0;
try {
bufferLength = stream.read(buffer);
} catch (IOException e) {
throw new RuntimeException(e);
}
return bufferLength > 0;
}
private int readByte() {
if (hasNextByte()) {
return buffer[pointer++];
} else {
return -1;
}
}
private static boolean isPrintableChar(int c) {
return 33 <= c && c <= 126;
}
public boolean hasNext() {
while (hasNextByte() && !isPrintableChar(buffer[pointer])) {
pointer++;
}
return hasNextByte();
}
public String next() {
if (!hasNext()) {
throw new NoSuchElementException();
}
StringBuilder sb = new StringBuilder();
while(true) {
int b = readByte();
if (!isPrintableChar(b)) {
break;
}
sb.appendCodePoint(b);
}
return sb.toString();
}
public String nextLine() {
if (!hasNext()) {
throw new NoSuchElementException();
}
StringBuilder sb = new StringBuilder();
while(true) {
int b = readByte();
if (!isPrintableChar(b) && b != 0x20) {
break;
}
sb.appendCodePoint(b);
}
return sb.toString();
}
public char nextChar() {
return next().charAt(0);
}
public int nextInt() {
if (!hasNext()) {
throw new NoSuchElementException();
}
int n = 0;
boolean minus = false;
{
int b = readByte();
if (b == '-') {
minus = true;
} else if ('0' <= b && b <= '9') {
n = b - '0';
} else {
throw new NumberFormatException();
}
}
while(true){
int b = readByte();
if ('0' <= b && b <= '9') {
n *= 10;
n += b - '0';
} else if (b == -1 || !isPrintableChar(b)) {
return minus ? -n : n;
} else {
throw new NumberFormatException();
}
}
}
public long nextLong() {
if (!hasNext()) {
throw new NoSuchElementException();
}
long n = 0;
boolean minus = false;
{
int b = readByte();
if (b == '-') {
minus = true;
} else if ('0' <= b && b <= '9') {
n = b - '0';
} else {
throw new NumberFormatException();
}
}
while(true){
int b = readByte();
if ('0' <= b && b <= '9') {
n *= 10;
n += b - '0';
} else if (b == -1 || !isPrintableChar(b)) {
return minus ? -n : n;
} else {
throw new NumberFormatException();
}
}
}
public double nextDouble() {
return Double.parseDouble(next());
}
public String[] next(int n) {
String[] array = new String[n];
for (int i = 0; i < n; i++) {
array[i] = next();
}
return array;
}
public String[] nextLine(int n) {
String[] array = new String[n];
for (int i = 0; i < n; i++) {
array[i] = nextLine();
}
return array;
}
public char[] nextChar(int n) {
char[] array = new char[n];
for (int i = 0; i < n; i++) {
array[i] = nextChar();
}
return array;
}
public int[] nextInt(int n) {
int[] array = new int[n];
for (int i = 0; i < n; i++) {
array[i] = nextInt();
}
return array;
}
public long[] nextLong(int n) {
long[] array = new long[n];
for (int i = 0; i < n; i++) {
array[i] = nextLong();
}
return array;
}
public double[] nextDouble(int n) {
double[] array = new double[n];
for (int i = 0; i < n; i++) {
array[i] = nextDouble();
}
return array;
}
public char[] nextCharArray() {
return next().toCharArray();
}
public String[][] next(int n, int m) {
String[][] matrix = new String[n][m];
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
matrix[i][j] = next();
}
}
return matrix;
}
public int[][] nextInt(int n, int m) {
int[][] matrix = new int[n][m];
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
matrix[i][j] = nextInt();
}
}
return matrix;
}
public char[][] nextChar(int n, int m) {
char[][] matrix = new char[n][m];
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
matrix[i][j] = nextChar();
}
}
return matrix;
}
public long[][] nextLong(int n, int m) {
long[][] matrix = new long[n][m];
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
matrix[i][j] = nextLong();
}
}
return matrix;
}
public double[][] nextDouble(int n, int m) {
double[][] matrix = new double[n][m];
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
matrix[i][j] = nextDouble();
}
}
return matrix;
}
public char[][] nextCharArray(int n) {
char[][] matrix = new char[n][];
for (int i = 0; i < n; i++) {
matrix[i] = next().toCharArray();
}
return matrix;
}
}
class MyAssert {
public static void myAssert(boolean flag, String message) {
if (!flag) {
throw new RuntimeException(message);
}
}
public static void myAssert(boolean flag) {
myAssert(flag, "");
}
}
|
ConDefects/ConDefects/Code/arc130_d/Java/27621776
|
condefects-java_data_1898
|
//Utilities
import java.io.*;
import java.util.*;
public class Main {
static int n;
static char[] ch;
static int[] res;
public static void main(String[] args) throws IOException {
n = in.iscan();
ch = in.sscan().toCharArray();
res = new int[n+1];
for (int i = 1; i <= n; i++) {
res[i] = n-i;
}
for (int i = 0; i < n; i++) {
for (int j = i+1; j < n; j++) {
if (ch[i] == ch[j]) {
res[j-i] = Math.min(res[j-i], i);
}
}
}
for (int i = 1; i <= n; i++) {
out.println(res[i]);
}
out.close();
}
static INPUT in = new INPUT(System.in);
static PrintWriter out = new PrintWriter(System.out);
private static class INPUT {
private InputStream stream;
private byte[] buf = new byte[1024];
private int curChar, numChars;
public INPUT (InputStream stream) {
this.stream = stream;
}
public INPUT (String file) throws IOException {
this.stream = new FileInputStream (file);
}
public int cscan () throws IOException {
if (curChar >= numChars) {
curChar = 0;
numChars = stream.read (buf);
}
if (numChars == -1)
return numChars;
return buf[curChar++];
}
public int iscan () throws IOException {
int c = cscan (), sgn = 1;
while (space (c))
c = cscan ();
if (c == '-') {
sgn = -1;
c = cscan ();
}
int res = 0;
do {
res = (res << 1) + (res << 3);
res += c - '0';
c = cscan ();
}
while (!space (c));
return res * sgn;
}
public String sscan () throws IOException {
int c = cscan ();
while (space (c))
c = cscan ();
StringBuilder res = new StringBuilder ();
do {
res.appendCodePoint (c);
c = cscan ();
}
while (!space (c));
return res.toString ();
}
public double dscan () throws IOException {
int c = cscan (), sgn = 1;
while (space (c))
c = cscan ();
if (c == '-') {
sgn = -1;
c = cscan ();
}
double res = 0;
while (!space (c) && c != '.') {
if (c == 'e' || c == 'E')
return res * UTILITIES.fast_pow (10, iscan ());
res *= 10;
res += c - '0';
c = cscan ();
}
if (c == '.') {
c = cscan ();
double m = 1;
while (!space (c)) {
if (c == 'e' || c == 'E')
return res * UTILITIES.fast_pow (10, iscan ());
m /= 10;
res += (c - '0') * m;
c = cscan ();
}
}
return res * sgn;
}
public long lscan () throws IOException {
int c = cscan (), sgn = 1;
while (space (c))
c = cscan ();
if (c == '-') {
sgn = -1;
c = cscan ();
}
long res = 0;
do {
res = (res << 1) + (res << 3);
res += c - '0';
c = cscan ();
}
while (!space (c));
return res * sgn;
}
public boolean space (int c) {
return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
}
}
public static class UTILITIES {
static final double EPS = 10e-6;
public static void sort(int[] a, boolean increasing) {
ArrayList<Integer> arr = new ArrayList<Integer>();
int n = a.length;
for (int i = 0; i < n; i++) {
arr.add(a[i]);
}
Collections.sort(arr);
for (int i = 0; i < n; i++) {
if (increasing) {
a[i] = arr.get(i);
}
else {
a[i] = arr.get(n-1-i);
}
}
}
public static void sort(long[] a, boolean increasing) {
ArrayList<Long> arr = new ArrayList<Long>();
int n = a.length;
for (int i = 0; i < n; i++) {
arr.add(a[i]);
}
Collections.sort(arr);
for (int i = 0; i < n; i++) {
if (increasing) {
a[i] = arr.get(i);
}
else {
a[i] = arr.get(n-1-i);
}
}
}
public static void sort(double[] a, boolean increasing) {
ArrayList<Double> arr = new ArrayList<Double>();
int n = a.length;
for (int i = 0; i < n; i++) {
arr.add(a[i]);
}
Collections.sort(arr);
for (int i = 0; i < n; i++) {
if (increasing) {
a[i] = arr.get(i);
}
else {
a[i] = arr.get(n-1-i);
}
}
}
public static int lower_bound (int[] arr, int x) {
int low = 0, high = arr.length, mid = -1;
while (low < high) {
mid = (low + high) / 2;
if (arr[mid] >= x)
high = mid;
else
low = mid + 1;
}
return low;
}
public static int upper_bound (int[] arr, int x) {
int low = 0, high = arr.length, mid = -1;
while (low < high) {
mid = (low + high) / 2;
if (arr[mid] > x)
high = mid;
else
low = mid + 1;
}
return low;
}
public static void updateMap(HashMap<Integer, Integer> map, int key, int v) {
if (!map.containsKey(key)) {
map.put(key, v);
}
else {
map.put(key, map.get(key) + v);
}
if (map.get(key) == 0) {
map.remove(key);
}
}
public static long gcd (long a, long b) {
return b == 0 ? a : gcd (b, a % b);
}
public static long lcm (long a, long b) {
return a * b / gcd (a, b);
}
public static long fast_pow_mod (long b, long x, int mod) {
if (x == 0) return 1;
if (x == 1) return b % mod;
if (x % 2 == 0) return fast_pow_mod (b * b % mod, x / 2, mod) % mod;
return b * fast_pow_mod (b * b % mod, x / 2, mod) % mod;
}
public static long fast_pow (long b, long x) {
if (x == 0) return 1;
if (x == 1) return b;
if (x % 2 == 0) return fast_pow (b * b, x / 2);
return b * fast_pow (b * b, x / 2);
}
public static long choose (long n, long k) {
if (k > n || k < 0) {
return 0;
}
k = Math.min (k, n - k);
long val = 1;
for (int i = 0; i < k; ++i)
val = val * (n - i) / (i + 1);
return val;
}
public static long permute (int n, int k) {
if (n < k) return 0;
long val = 1;
for (int i = 0; i < k; ++i)
val = (val * (n - i));
return val;
}
// start of permutation and lower/upper bound template
public static void nextPermutation(int[] nums) {
//find first decreasing digit
int mark = -1;
for (int i = nums.length - 1; i > 0; i--) {
if (nums[i] > nums[i - 1]) {
mark = i - 1;
break;
}
}
if (mark == -1) {
reverse(nums, 0, nums.length - 1);
return;
}
int idx = nums.length-1;
for (int i = nums.length-1; i >= mark+1; i--) {
if (nums[i] > nums[mark]) {
idx = i;
break;
}
}
swap(nums, mark, idx);
reverse(nums, mark + 1, nums.length - 1);
}
public static void swap(int[] nums, int i, int j) {
int t = nums[i];
nums[i] = nums[j];
nums[j] = t;
}
public static void reverse(int[] nums, int i, int j) {
while (i < j) {
swap(nums, i, j);
i++;
j--;
}
}
static int lower_bound (int[] arr, int hi, int cmp) {
int low = 0, high = hi, mid = -1;
while (low < high) {
mid = (low + high) / 2;
if (arr[mid] >= cmp) high = mid;
else low = mid + 1;
}
return low;
}
static int upper_bound (int[] arr, int hi, int cmp) {
int low = 0, high = hi, mid = -1;
while (low < high) {
mid = (low + high) / 2;
if (arr[mid] > cmp) high = mid;
else low = mid + 1;
}
return low;
}
// end of permutation and lower/upper bound template
}
}
//Utilities
import java.io.*;
import java.util.*;
public class Main {
static int n;
static char[] ch;
static int[] res;
public static void main(String[] args) throws IOException {
n = in.iscan();
ch = in.sscan().toCharArray();
res = new int[n+1];
for (int i = 1; i <= n; i++) {
res[i] = n-i;
}
for (int i = 0; i < n; i++) {
for (int j = i+1; j < n; j++) {
if (ch[i] == ch[j]) {
res[j-i] = Math.min(res[j-i], i);
}
}
}
for (int i = 1; i <= n-1; i++) {
out.println(res[i]);
}
out.close();
}
static INPUT in = new INPUT(System.in);
static PrintWriter out = new PrintWriter(System.out);
private static class INPUT {
private InputStream stream;
private byte[] buf = new byte[1024];
private int curChar, numChars;
public INPUT (InputStream stream) {
this.stream = stream;
}
public INPUT (String file) throws IOException {
this.stream = new FileInputStream (file);
}
public int cscan () throws IOException {
if (curChar >= numChars) {
curChar = 0;
numChars = stream.read (buf);
}
if (numChars == -1)
return numChars;
return buf[curChar++];
}
public int iscan () throws IOException {
int c = cscan (), sgn = 1;
while (space (c))
c = cscan ();
if (c == '-') {
sgn = -1;
c = cscan ();
}
int res = 0;
do {
res = (res << 1) + (res << 3);
res += c - '0';
c = cscan ();
}
while (!space (c));
return res * sgn;
}
public String sscan () throws IOException {
int c = cscan ();
while (space (c))
c = cscan ();
StringBuilder res = new StringBuilder ();
do {
res.appendCodePoint (c);
c = cscan ();
}
while (!space (c));
return res.toString ();
}
public double dscan () throws IOException {
int c = cscan (), sgn = 1;
while (space (c))
c = cscan ();
if (c == '-') {
sgn = -1;
c = cscan ();
}
double res = 0;
while (!space (c) && c != '.') {
if (c == 'e' || c == 'E')
return res * UTILITIES.fast_pow (10, iscan ());
res *= 10;
res += c - '0';
c = cscan ();
}
if (c == '.') {
c = cscan ();
double m = 1;
while (!space (c)) {
if (c == 'e' || c == 'E')
return res * UTILITIES.fast_pow (10, iscan ());
m /= 10;
res += (c - '0') * m;
c = cscan ();
}
}
return res * sgn;
}
public long lscan () throws IOException {
int c = cscan (), sgn = 1;
while (space (c))
c = cscan ();
if (c == '-') {
sgn = -1;
c = cscan ();
}
long res = 0;
do {
res = (res << 1) + (res << 3);
res += c - '0';
c = cscan ();
}
while (!space (c));
return res * sgn;
}
public boolean space (int c) {
return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
}
}
public static class UTILITIES {
static final double EPS = 10e-6;
public static void sort(int[] a, boolean increasing) {
ArrayList<Integer> arr = new ArrayList<Integer>();
int n = a.length;
for (int i = 0; i < n; i++) {
arr.add(a[i]);
}
Collections.sort(arr);
for (int i = 0; i < n; i++) {
if (increasing) {
a[i] = arr.get(i);
}
else {
a[i] = arr.get(n-1-i);
}
}
}
public static void sort(long[] a, boolean increasing) {
ArrayList<Long> arr = new ArrayList<Long>();
int n = a.length;
for (int i = 0; i < n; i++) {
arr.add(a[i]);
}
Collections.sort(arr);
for (int i = 0; i < n; i++) {
if (increasing) {
a[i] = arr.get(i);
}
else {
a[i] = arr.get(n-1-i);
}
}
}
public static void sort(double[] a, boolean increasing) {
ArrayList<Double> arr = new ArrayList<Double>();
int n = a.length;
for (int i = 0; i < n; i++) {
arr.add(a[i]);
}
Collections.sort(arr);
for (int i = 0; i < n; i++) {
if (increasing) {
a[i] = arr.get(i);
}
else {
a[i] = arr.get(n-1-i);
}
}
}
public static int lower_bound (int[] arr, int x) {
int low = 0, high = arr.length, mid = -1;
while (low < high) {
mid = (low + high) / 2;
if (arr[mid] >= x)
high = mid;
else
low = mid + 1;
}
return low;
}
public static int upper_bound (int[] arr, int x) {
int low = 0, high = arr.length, mid = -1;
while (low < high) {
mid = (low + high) / 2;
if (arr[mid] > x)
high = mid;
else
low = mid + 1;
}
return low;
}
public static void updateMap(HashMap<Integer, Integer> map, int key, int v) {
if (!map.containsKey(key)) {
map.put(key, v);
}
else {
map.put(key, map.get(key) + v);
}
if (map.get(key) == 0) {
map.remove(key);
}
}
public static long gcd (long a, long b) {
return b == 0 ? a : gcd (b, a % b);
}
public static long lcm (long a, long b) {
return a * b / gcd (a, b);
}
public static long fast_pow_mod (long b, long x, int mod) {
if (x == 0) return 1;
if (x == 1) return b % mod;
if (x % 2 == 0) return fast_pow_mod (b * b % mod, x / 2, mod) % mod;
return b * fast_pow_mod (b * b % mod, x / 2, mod) % mod;
}
public static long fast_pow (long b, long x) {
if (x == 0) return 1;
if (x == 1) return b;
if (x % 2 == 0) return fast_pow (b * b, x / 2);
return b * fast_pow (b * b, x / 2);
}
public static long choose (long n, long k) {
if (k > n || k < 0) {
return 0;
}
k = Math.min (k, n - k);
long val = 1;
for (int i = 0; i < k; ++i)
val = val * (n - i) / (i + 1);
return val;
}
public static long permute (int n, int k) {
if (n < k) return 0;
long val = 1;
for (int i = 0; i < k; ++i)
val = (val * (n - i));
return val;
}
// start of permutation and lower/upper bound template
public static void nextPermutation(int[] nums) {
//find first decreasing digit
int mark = -1;
for (int i = nums.length - 1; i > 0; i--) {
if (nums[i] > nums[i - 1]) {
mark = i - 1;
break;
}
}
if (mark == -1) {
reverse(nums, 0, nums.length - 1);
return;
}
int idx = nums.length-1;
for (int i = nums.length-1; i >= mark+1; i--) {
if (nums[i] > nums[mark]) {
idx = i;
break;
}
}
swap(nums, mark, idx);
reverse(nums, mark + 1, nums.length - 1);
}
public static void swap(int[] nums, int i, int j) {
int t = nums[i];
nums[i] = nums[j];
nums[j] = t;
}
public static void reverse(int[] nums, int i, int j) {
while (i < j) {
swap(nums, i, j);
i++;
j--;
}
}
static int lower_bound (int[] arr, int hi, int cmp) {
int low = 0, high = hi, mid = -1;
while (low < high) {
mid = (low + high) / 2;
if (arr[mid] >= cmp) high = mid;
else low = mid + 1;
}
return low;
}
static int upper_bound (int[] arr, int hi, int cmp) {
int low = 0, high = hi, mid = -1;
while (low < high) {
mid = (low + high) / 2;
if (arr[mid] > cmp) high = mid;
else low = mid + 1;
}
return low;
}
// end of permutation and lower/upper bound template
}
}
|
ConDefects/ConDefects/Code/abc285_b/Java/41115876
|
condefects-java_data_1899
|
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
int n = nextInt();
char[] s = next().toCharArray();
char[] t = next().toCharArray();
// 埋まってないもの
int[] tCounts = new int[26];
int tTotal = 0;
// 取り出したもの（余り）
int[] sCounts = new int[26];
int sTotal = 0;
int sl = 0;
int tr = n-1;
// Sの末尾が、Tの何文字目に該当するのか...
for (int i = n - 1; i >= 0 && sl <= i; i--) {
while (tr >= 0 && t[tr--] != s[i]) {
int tri = t[tr+1] - 'a';
if (sCounts[tri] > 0) {
sCounts[tri]--;
sTotal--;
continue;
} else {
tCounts[tri]++;
tTotal++;
}
}
while (sl < i && tTotal > 0) {
int sli = s[sl] - 'a';
if (tCounts[sli] > 0) {
tCounts[sli]--;
tTotal--;
} else {
sCounts[sli]++;
sTotal++;
}
sl++;
}
tr--;
}
for (int i = 0; i <= tr; i++) {
if (sCounts[t[i]-'a'] > 0) {
sCounts[t[i]-'a']--;
sTotal--;
}
}
if (sTotal > 0 || tTotal > 0) {
out.println(-1);
} else {
out.println(sl);
}
out.flush();
}
static PrintWriter out = new PrintWriter(System.out);
static Scanner scanner = new Scanner(System.in);
static String next() { return scanner.next(); }
static int nextInt() {
int res = 0;
char[] chars = next().toCharArray();
boolean minus = chars[0] == '-';
int start = minus?1:0;
for (int i = start; i < chars.length; i++) {
res = res*10 + (chars[i]-'0');
}
return minus?-res:res;
}
static long nextLong() {
long res = 0;
char[] chars = next().toCharArray();
boolean minus = chars[0] == '-';
int start = minus?1:0;
for (int i = start; i < chars.length; i++) {
res = res*10 + (chars[i]-'0');
}
return minus?-res:res;
}
static double nextDouble() { return Double.parseDouble(next()); }
static int[] nextIntArray(int n) {
int[] array = new int[n];
for (int i = 0; i < n; i++) { array[i] = nextInt(); }
return array;
}
static long[] nextLongArray(int n) {
long[] array = new long[n];
for (int i = 0; i < n; i++) { array[i] = nextLong(); }
return array;
}
}
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
int n = nextInt();
char[] s = next().toCharArray();
char[] t = next().toCharArray();
// 埋まってないもの
int[] tCounts = new int[26];
int tTotal = 0;
// 取り出したもの（余り）
int[] sCounts = new int[26];
int sTotal = 0;
int sl = 0;
int tr = n-1;
// Sの末尾が、Tの何文字目に該当するのか...
for (int i = n - 1; i >= 0 && sl <= i; i--) {
while (tr >= 0 && t[tr--] != s[i]) {
int tri = t[tr+1] - 'a';
if (sCounts[tri] > 0) {
sCounts[tri]--;
sTotal--;
} else {
tCounts[tri]++;
tTotal++;
}
}
while (sl < i && tTotal > 0) {
int sli = s[sl] - 'a';
if (tCounts[sli] > 0) {
tCounts[sli]--;
tTotal--;
} else {
sCounts[sli]++;
sTotal++;
}
sl++;
}
}
for (int i = 0; i <= tr; i++) {
if (sCounts[t[i]-'a'] > 0) {
sCounts[t[i]-'a']--;
sTotal--;
}
}
if (sTotal > 0 || tTotal > 0) {
out.println(-1);
} else {
out.println(sl);
}
out.flush();
}
static PrintWriter out = new PrintWriter(System.out);
static Scanner scanner = new Scanner(System.in);
static String next() { return scanner.next(); }
static int nextInt() {
int res = 0;
char[] chars = next().toCharArray();
boolean minus = chars[0] == '-';
int start = minus?1:0;
for (int i = start; i < chars.length; i++) {
res = res*10 + (chars[i]-'0');
}
return minus?-res:res;
}
static long nextLong() {
long res = 0;
char[] chars = next().toCharArray();
boolean minus = chars[0] == '-';
int start = minus?1:0;
for (int i = start; i < chars.length; i++) {
res = res*10 + (chars[i]-'0');
}
return minus?-res:res;
}
static double nextDouble() { return Double.parseDouble(next()); }
static int[] nextIntArray(int n) {
int[] array = new int[n];
for (int i = 0; i < n; i++) { array[i] = nextInt(); }
return array;
}
static long[] nextLongArray(int n) {
long[] array = new long[n];
for (int i = 0; i < n; i++) { array[i] = nextLong(); }
return array;
}
}
|
ConDefects/ConDefects/Code/arc154_b/Java/38311271
|
condefects-java_data_1900
|
import java.io.*;
import java.util.*;
public class Main {
public static void main(String[]args) throws IOException {
new P().solve();
}
}
class P {
int n;
char[] A, B;
void solve() throws IOException {
n = in.nextInt();
A = in.next().toCharArray();
B = in.next().toCharArray();
int[] f = new int[26];
for (int i = 0; i < n; ++i) {
f[A[i] - 'a']++;
f[B[i] - 'a']--;
}
for (int i : f) {
if (i != 0) {
System.out.println(-1);
}
}
int k = n - 1;
for (int i = n - 1; i >= 0; --i) {
if (A[k] == B[i]) {
--k;
}
}
System.out.println(k + 1);
}
}
class in {
static BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));
static StringTokenizer tokenizer = new StringTokenizer("");
static String nextLine() throws IOException{
return reader.readLine();
}
static String next() throws IOException {
while (!tokenizer.hasMoreTokens()) {
tokenizer = new StringTokenizer(reader.readLine());
}
return tokenizer.nextToken();
}
static int nextInt() throws IOException {
return Integer.parseInt(next());
}
static long nextLong() throws IOException {
return Long.parseLong(next());
}
static double nextDouble() throws IOException {
return Double.parseDouble(next());
}
}
import java.io.*;
import java.util.*;
public class Main {
static int n;
public static void main(String[]args) throws IOException {
new P().solve();
}
}
class P {
int n;
char[] A, B;
void solve() throws IOException {
n = in.nextInt();
A = in.next().toCharArray();
B = in.next().toCharArray();
int[] f = new int[26];
for (int i = 0; i < n; ++i) {
f[A[i] - 'a']++;
f[B[i] - 'a']--;
}
for (int i : f) {
if (i != 0) {
System.out.println(-1);
return;
}
}
int k = n - 1;
for (int i = n - 1; i >= 0; --i) {
if (A[k] == B[i]) {
--k;
}
}
System.out.println(k + 1);
}
}
class in {
static BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));
static StringTokenizer tokenizer = new StringTokenizer("");
static String nextLine() throws IOException{
return reader.readLine();
}
static String next() throws IOException {
while (!tokenizer.hasMoreTokens()) {
tokenizer = new StringTokenizer(reader.readLine());
}
return tokenizer.nextToken();
}
static int nextInt() throws IOException {
return Integer.parseInt(next());
}
static long nextLong() throws IOException {
return Long.parseLong(next());
}
static double nextDouble() throws IOException {
return Double.parseDouble(next());
}
}
|
ConDefects/ConDefects/Code/arc154_b/Java/38271871
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.