
import java.io.IOException;
import java.io.InputStream;
import java.util.*;
import java.util.List;
import java.util.jar.JarEntry;
import java.util.stream.Collectors;
import java.util.stream.IntStream;

import static java.lang.Math.max;
import static java.lang.Math.min;
import static java.lang.Math.pow;

import static java.lang.String.format;


public class Main {
    public static void main(String[] args) {
        Scanner scanner=new Scanner();
        final String s = scanner.next();
        final String t = scanner.next();
        int ans=Integer.MAX_VALUE;
        for (int i = 0; i <= s.length() - t.length(); i++) {
            int count=0;
            for (int j = 0; j < t.length(); j++) {
                if(s.charAt(i+j)!=t.charAt(j)){
                    count++;
                }
            }
            ans = min(count, ans);
        }
        put(ans);

    }

    public static int upper_bound(int[] a,int val){
        return upper_bound(a,0,a.length,val);
    }
    public static int upper_bound(int[] a,int l,int r,int val){
        if(r-l==1){
            if(a[l]>val) return l;
            return r;
        }
        int mid=(l+r)/2;
        if(a[mid]>val){
            return upper_bound(a,l,mid,val);
        }else{
            return upper_bound(a,mid,r,val);
        }
    }
    public static <T> int upper_bound(T[] a,int l,int r,T val,Comparator<T> comparator){
        if(r-l==1){
            if(comparator.compare(a[l],val)>0) return l;
            return r;
        }
        int mid=(l+r)/2;
        if(comparator.compare(a[mid],val)>0){
            return upper_bound(a,l,mid,val,comparator);
        }else{
            return upper_bound(a,mid,r,val,comparator);
        }
    }
    public static int lower_bound(int[] a,int val){
        return lower_bound(a,0,a.length,val);
    }
    public static int lower_bound(int[] a,int l,int r,int val){
        if(r-l==1){
            if(a[l]<val) return r;
            return l;
        }
        int mid=(l+r)/2;
        if(a[mid]<val){
            return lower_bound(a,mid,r,val);
        }else{
            return lower_bound(a,l,mid,val);
        }

    }

    public static <T> int lower_bound(T[] a,int l,int r,T val,Comparator<T> comparator){
        if(r-l==1){
            if(comparator.compare(a[l],val)<0) return r;
            return l;
        }
        int mid=(l+r)/2;
        if(comparator.compare(a[mid],val)<0){
            return lower_bound(a,mid,r,val,comparator);
        }else{
            return lower_bound(a,l,mid,val,comparator);
        }
    }


    public static void print(Object object){
        System.out.print(object);
    }
    public static void put(Object object) {
        System.out.println(object);
    }
    public static void put(){
        System.out.println();
    }

    final static private class Scanner {
        private final InputStream in = System.in;
        private final byte[] buffer = new byte[1024];
        private int ptr = 0;
        private int buflen = 0;

        private boolean hasNextByte() {
            if (ptr < buflen) {
                return true;
            } else {
                ptr = 0;
                try {
                    buflen = in.read(buffer);
                } catch (IOException e) {
                    e.printStackTrace();
                }
                if (buflen <= 0) {
                    return false;
                }
            }
            return true;
        }

        private int readByte() {
            if (hasNextByte())
                return buffer[ptr++];
            else
                return -1;
        }

        private boolean isPrintableChar(int c) {
            return 33 <= c && c <= 126;
        }

        public boolean hasNext() {
            while (hasNextByte() && !isPrintableChar(buffer[ptr]))
                ptr++;
            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();
            }
        }

        public int nextInt() {
            long nl = nextLong();
            if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE)
                throw new NumberFormatException();
            return (int) nl;
        }

        public double nextDouble() {
            return Double.parseDouble(next());
        }
    }
    final static private class FixedPair {
        final private long x, y;
        final static public FixedPair ZEROS=new FixedPair(0,0);
        FixedPair(long x, long y) {
            this.x = x;
            this.y = y;
        }

        public long getX() {
            return x;
        }

        public long getY() {
            return y;
        }

        @Override
        public int hashCode() {
            return (int)x+(int)y;
        }

        @Override
        public boolean equals(Object obj) {
            boolean result=super.equals(obj);
            if(obj.getClass()!=this.getClass()){
                return false;
            }
            FixedPair pair=(FixedPair)obj;
            if(this.x==pair.x&&this.y==pair.y) return true;
            return false;
        }

        @Override
        public String toString() {
            return String.format("(%d,%d)", x, y);
        }
    }
    final static private class Tuple<T,V>{
        //immutabl1でないことに注意(T,Vがmutableの場合変更可能)
        final private T t;
        final private V v;
        Tuple(T t,V v){
            this.t=t;
            this.v=v;
        }

        public T getT() {
            return t;
        }

        public V getV() {
            return v;
        }

        @Override
        public int hashCode() {
            return (t.hashCode()+v.hashCode());
        }

        @Override
        @SuppressWarnings("unchecked")
        public boolean equals(Object obj) {
            if(obj.getClass()!=this.getClass()){
                return false;
            }
            Tuple<T,V> tuple=(Tuple<T, V>) obj;
            return tuple.t.equals(this.t)&&tuple.v.equals(this.v);
        }

        @Override
        public String toString() {
            return String.format("<Tuple>=<%s,%s>",t,v);
        }
    }
    final static private class Util {
        static long gcd(long a,long b){
            //最大公約数　
            if(a%b==0)return b;
            return gcd(b,a%b);
        }
        static long lcm(long a,long b){
            //最小公倍数
            long gcd=gcd(a,b);
            long result=b/gcd;
            return a*result;
        }
        static long kaijoMod(int n,int mod){
            if(n<1) return -1;
            long result=1;
            for(int i=n;i>1;i--){
                result*=i;
                result%=mod;
            }
            return result;
        }
        static <T extends Comparable<T>> Map<T,Integer> count(List<T> list){
            //副作用
            Collections.sort(list);
            Map<T,Integer> result=new HashMap<>();
            int l=0,r=0;
            while(l<list.size()){
                while(r<list.size()-1&&list.get(r).equals(r+1)){
                    r++;
                }
                result.put(list.get(r),r-l+1);
                r++;
                l=r;
            }
            return result;

        }
        static Map<Integer,Integer> count(int[] array){
            //副作用
            Arrays.sort(array);
            Map<Integer,Integer> result=new HashMap<>();
            int l=0,r=0;
            while(l<array.length){
                while(r<array.length-1&&array[r]==array[r+1]){
                    r++;
                }
                result.put(array[l],r-l+1);
                r++;
                l=r;
            }
            return result;
        }
        static <T> String toStringBWS(Iterable<T> iterable){
            Iterator<T> ite=iterable.iterator();
            return toStringBWS(ite);
        }
        static <T> String toStringBWS(Iterator<T> ite){
            StringBuilder sb=new StringBuilder();
            sb.append(ite.next());
            while(ite.hasNext()){
                sb.append(" ");
                sb.append(ite.next());
            }
            return sb.toString();
        }
        static int[] factoringInPrimeNumbers(long n,int size){
            //素因数分解
            //sizeがnに比べて小さい場合完全に素因数分解出来ていない可能性がある
            int[] result=new int[size];
            for(int i=2;n>1&&i< result.length;i++){
                while(n%i==0){
                    result[i]++;
                    n/=i;
                }
            }
            return result;

        }
    }
} import java.io.IOException; IOException java.io import java.io.InputStream; InputStream java.io import java.util.*; util.* java import java.util.List; List java.util import java.util.jar.JarEntry; JarEntry java.util.jar import java.util.stream.Collectors; Collectors java.util.stream import java.util.stream.IntStream; IntStream java.util.stream import static java.lang.Math.max; import static java.lang.Math.max; import static java.lang.Math.max; import static java.lang.Math.min; import static java.lang.Math.min; import static java.lang.Math.min; import static java.lang.Math.pow; import static java.lang.Math.pow; import static java.lang.Math.pow; import static java.lang.String.format; import static java.lang.String.format; import static java.lang.String.format; public class Main {
    public static void main(String[] args) {
        Scanner scanner=new Scanner();
        final String s = scanner.next();
        final String t = scanner.next();
        int ans=Integer.MAX_VALUE;
        for (int i = 0; i <= s.length() - t.length(); i++) {
            int count=0;
            for (int j = 0; j < t.length(); j++) {
                if(s.charAt(i+j)!=t.charAt(j)){
                    count++;
                }
            }
            ans = min(count, ans);
        }
        put(ans);

    }

    public static int upper_bound(int[] a,int val){
        return upper_bound(a,0,a.length,val);
    }
    public static int upper_bound(int[] a,int l,int r,int val){
        if(r-l==1){
            if(a[l]>val) return l;
            return r;
        }
        int mid=(l+r)/2;
        if(a[mid]>val){
            return upper_bound(a,l,mid,val);
        }else{
            return upper_bound(a,mid,r,val);
        }
    }
    public static <T> int upper_bound(T[] a,int l,int r,T val,Comparator<T> comparator){
        if(r-l==1){
            if(comparator.compare(a[l],val)>0) return l;
            return r;
        }
        int mid=(l+r)/2;
        if(comparator.compare(a[mid],val)>0){
            return upper_bound(a,l,mid,val,comparator);
        }else{
            return upper_bound(a,mid,r,val,comparator);
        }
    }
    public static int lower_bound(int[] a,int val){
        return lower_bound(a,0,a.length,val);
    }
    public static int lower_bound(int[] a,int l,int r,int val){
        if(r-l==1){
            if(a[l]<val) return r;
            return l;
        }
        int mid=(l+r)/2;
        if(a[mid]<val){
            return lower_bound(a,mid,r,val);
        }else{
            return lower_bound(a,l,mid,val);
        }

    }

    public static <T> int lower_bound(T[] a,int l,int r,T val,Comparator<T> comparator){
        if(r-l==1){
            if(comparator.compare(a[l],val)<0) return r;
            return l;
        }
        int mid=(l+r)/2;
        if(comparator.compare(a[mid],val)<0){
            return lower_bound(a,mid,r,val,comparator);
        }else{
            return lower_bound(a,l,mid,val,comparator);
        }
    }


    public static void print(Object object){
        System.out.print(object);
    }
    public static void put(Object object) {
        System.out.println(object);
    }
    public static void put(){
        System.out.println();
    }

    final static private class Scanner {
        private final InputStream in = System.in;
        private final byte[] buffer = new byte[1024];
        private int ptr = 0;
        private int buflen = 0;

        private boolean hasNextByte() {
            if (ptr < buflen) {
                return true;
            } else {
                ptr = 0;
                try {
                    buflen = in.read(buffer);
                } catch (IOException e) {
                    e.printStackTrace();
                }
                if (buflen <= 0) {
                    return false;
                }
            }
            return true;
        }

        private int readByte() {
            if (hasNextByte())
                return buffer[ptr++];
            else
                return -1;
        }

        private boolean isPrintableChar(int c) {
            return 33 <= c && c <= 126;
        }

        public boolean hasNext() {
            while (hasNextByte() && !isPrintableChar(buffer[ptr]))
                ptr++;
            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();
            }
        }

        public int nextInt() {
            long nl = nextLong();
            if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE)
                throw new NumberFormatException();
            return (int) nl;
        }

        public double nextDouble() {
            return Double.parseDouble(next());
        }
    }
    final static private class FixedPair {
        final private long x, y;
        final static public FixedPair ZEROS=new FixedPair(0,0);
        FixedPair(long x, long y) {
            this.x = x;
            this.y = y;
        }

        public long getX() {
            return x;
        }

        public long getY() {
            return y;
        }

        @Override
        public int hashCode() {
            return (int)x+(int)y;
        }

        @Override
        public boolean equals(Object obj) {
            boolean result=super.equals(obj);
            if(obj.getClass()!=this.getClass()){
                return false;
            }
            FixedPair pair=(FixedPair)obj;
            if(this.x==pair.x&&this.y==pair.y) return true;
            return false;
        }

        @Override
        public String toString() {
            return String.format("(%d,%d)", x, y);
        }
    }
    final static private class Tuple<T,V>{
        //immutabl1でないことに注意(T,Vがmutableの場合変更可能)
        final private T t;
        final private V v;
        Tuple(T t,V v){
            this.t=t;
            this.v=v;
        }

        public T getT() {
            return t;
        }

        public V getV() {
            return v;
        }

        @Override
        public int hashCode() {
            return (t.hashCode()+v.hashCode());
        }

        @Override
        @SuppressWarnings("unchecked")
        public boolean equals(Object obj) {
            if(obj.getClass()!=this.getClass()){
                return false;
            }
            Tuple<T,V> tuple=(Tuple<T, V>) obj;
            return tuple.t.equals(this.t)&&tuple.v.equals(this.v);
        }

        @Override
        public String toString() {
            return String.format("<Tuple>=<%s,%s>",t,v);
        }
    }
    final static private class Util {
        static long gcd(long a,long b){
            //最大公約数　
            if(a%b==0)return b;
            return gcd(b,a%b);
        }
        static long lcm(long a,long b){
            //最小公倍数
            long gcd=gcd(a,b);
            long result=b/gcd;
            return a*result;
        }
        static long kaijoMod(int n,int mod){
            if(n<1) return -1;
            long result=1;
            for(int i=n;i>1;i--){
                result*=i;
                result%=mod;
            }
            return result;
        }
        static <T extends Comparable<T>> Map<T,Integer> count(List<T> list){
            //副作用
            Collections.sort(list);
            Map<T,Integer> result=new HashMap<>();
            int l=0,r=0;
            while(l<list.size()){
                while(r<list.size()-1&&list.get(r).equals(r+1)){
                    r++;
                }
                result.put(list.get(r),r-l+1);
                r++;
                l=r;
            }
            return result;

        }
        static Map<Integer,Integer> count(int[] array){
            //副作用
            Arrays.sort(array);
            Map<Integer,Integer> result=new HashMap<>();
            int l=0,r=0;
            while(l<array.length){
                while(r<array.length-1&&array[r]==array[r+1]){
                    r++;
                }
                result.put(array[l],r-l+1);
                r++;
                l=r;
            }
            return result;
        }
        static <T> String toStringBWS(Iterable<T> iterable){
            Iterator<T> ite=iterable.iterator();
            return toStringBWS(ite);
        }
        static <T> String toStringBWS(Iterator<T> ite){
            StringBuilder sb=new StringBuilder();
            sb.append(ite.next());
            while(ite.hasNext()){
                sb.append(" ");
                sb.append(ite.next());
            }
            return sb.toString();
        }
        static int[] factoringInPrimeNumbers(long n,int size){
            //素因数分解
            //sizeがnに比べて小さい場合完全に素因数分解出来ていない可能性がある
            int[] result=new int[size];
            for(int i=2;n>1&&i< result.length;i++){
                while(n%i==0){
                    result[i]++;
                    n/=i;
                }
            }
            return result;

        }
    }
} Main public static void main(String[] args) {
        Scanner scanner=new Scanner();
        final String s = scanner.next();
        final String t = scanner.next();
        int ans=Integer.MAX_VALUE;
        for (int i = 0; i <= s.length() - t.length(); i++) {
            int count=0;
            for (int j = 0; j < t.length(); j++) {
                if(s.charAt(i+j)!=t.charAt(j)){
                    count++;
                }
            }
            ans = min(count, ans);
        }
        put(ans);

    } main {
        Scanner scanner=new Scanner();
        final String s = scanner.next();
        final String t = scanner.next();
        int ans=Integer.MAX_VALUE;
        for (int i = 0; i <= s.length() - t.length(); i++) {
            int count=0;
            for (int j = 0; j < t.length(); j++) {
                if(s.charAt(i+j)!=t.charAt(j)){
                    count++;
                }
            }
            ans = min(count, ans);
        }
        put(ans);

    } Scanner scanner=new Scanner(); scanner new Scanner() final String s = scanner.next(); s scanner.next() scanner.next scanner final String t = scanner.next(); t scanner.next() scanner.next scanner int ans=Integer.MAX_VALUE; ans Integer.MAX_VALUE Integer Integer.MAX_VALUE for (int i = 0; i <= s.length() - t.length(); i++) {
            int count=0;
            for (int j = 0; j < t.length(); j++) {
                if(s.charAt(i+j)!=t.charAt(j)){
                    count++;
                }
            }
            ans = min(count, ans);
        } int i = 0; int i = 0; i 0 i <= s.length() - t.length() i s.length() - t.length() s.length() s.length s t.length() t.length t i++ i++ i {
            int count=0;
            for (int j = 0; j < t.length(); j++) {
                if(s.charAt(i+j)!=t.charAt(j)){
                    count++;
                }
            }
            ans = min(count, ans);
        } {
            int count=0;
            for (int j = 0; j < t.length(); j++) {
                if(s.charAt(i+j)!=t.charAt(j)){
                    count++;
                }
            }
            ans = min(count, ans);
        } int count=0; count 0 for (int j = 0; j < t.length(); j++) {
                if(s.charAt(i+j)!=t.charAt(j)){
                    count++;
                }
            } int j = 0; int j = 0; j 0 j < t.length() j t.length() t.length t j++ j++ j {
                if(s.charAt(i+j)!=t.charAt(j)){
                    count++;
                }
            } {
                if(s.charAt(i+j)!=t.charAt(j)){
                    count++;
                }
            } if(s.charAt(i+j)!=t.charAt(j)){
                    count++;
                } s.charAt(i+j)!=t.charAt(j) s.charAt(i+j) s.charAt s i+j i j t.charAt(j) t.charAt t j {
                    count++;
                } count++ count ans = min(count, ans) ans min(count, ans) min count ans put(ans) put ans String[] args args public static int upper_bound(int[] a,int val){
        return upper_bound(a,0,a.length,val);
    } upper_bound {
        return upper_bound(a,0,a.length,val);
    } return upper_bound(a,0,a.length,val); upper_bound(a,0,a.length,val) upper_bound a 0 a.length a a.length val int[] a a int val val public static int upper_bound(int[] a,int l,int r,int val){
        if(r-l==1){
            if(a[l]>val) return l;
            return r;
        }
        int mid=(l+r)/2;
        if(a[mid]>val){
            return upper_bound(a,l,mid,val);
        }else{
            return upper_bound(a,mid,r,val);
        }
    } upper_bound {
        if(r-l==1){
            if(a[l]>val) return l;
            return r;
        }
        int mid=(l+r)/2;
        if(a[mid]>val){
            return upper_bound(a,l,mid,val);
        }else{
            return upper_bound(a,mid,r,val);
        }
    } if(r-l==1){
            if(a[l]>val) return l;
            return r;
        } r-l==1 r-l r l 1 {
            if(a[l]>val) return l;
            return r;
        } if(a[l]>val) return l; a[l]>val a[l] a l val return l; l return r; r int mid=(l+r)/2; mid (l+r)/2 (l+r) l r 2 if(a[mid]>val){
            return upper_bound(a,l,mid,val);
        }else{
            return upper_bound(a,mid,r,val);
        } a[mid]>val a[mid] a mid val {
            return upper_bound(a,l,mid,val);
        } return upper_bound(a,l,mid,val); upper_bound(a,l,mid,val) upper_bound a l mid val {
            return upper_bound(a,mid,r,val);
        } return upper_bound(a,mid,r,val); upper_bound(a,mid,r,val) upper_bound a mid r val int[] a a int l l int r r int val val public static <T> int upper_bound(T[] a,int l,int r,T val,Comparator<T> comparator){
        if(r-l==1){
            if(comparator.compare(a[l],val)>0) return l;
            return r;
        }
        int mid=(l+r)/2;
        if(comparator.compare(a[mid],val)>0){
            return upper_bound(a,l,mid,val,comparator);
        }else{
            return upper_bound(a,mid,r,val,comparator);
        }
    } upper_bound {
        if(r-l==1){
            if(comparator.compare(a[l],val)>0) return l;
            return r;
        }
        int mid=(l+r)/2;
        if(comparator.compare(a[mid],val)>0){
            return upper_bound(a,l,mid,val,comparator);
        }else{
            return upper_bound(a,mid,r,val,comparator);
        }
    } if(r-l==1){
            if(comparator.compare(a[l],val)>0) return l;
            return r;
        } r-l==1 r-l r l 1 {
            if(comparator.compare(a[l],val)>0) return l;
            return r;
        } if(comparator.compare(a[l],val)>0) return l; comparator.compare(a[l],val)>0 comparator.compare(a[l],val) comparator.compare comparator a[l] a l val 0 return l; l return r; r int mid=(l+r)/2; mid (l+r)/2 (l+r) l r 2 if(comparator.compare(a[mid],val)>0){
            return upper_bound(a,l,mid,val,comparator);
        }else{
            return upper_bound(a,mid,r,val,comparator);
        } comparator.compare(a[mid],val)>0 comparator.compare(a[mid],val) comparator.compare comparator a[mid] a mid val 0 {
            return upper_bound(a,l,mid,val,comparator);
        } return upper_bound(a,l,mid,val,comparator); upper_bound(a,l,mid,val,comparator) upper_bound a l mid val comparator {
            return upper_bound(a,mid,r,val,comparator);
        } return upper_bound(a,mid,r,val,comparator); upper_bound(a,mid,r,val,comparator) upper_bound a mid r val comparator T[] a a int l l int r r T val val Comparator<T> comparator comparator public static int lower_bound(int[] a,int val){
        return lower_bound(a,0,a.length,val);
    } lower_bound {
        return lower_bound(a,0,a.length,val);
    } return lower_bound(a,0,a.length,val); lower_bound(a,0,a.length,val) lower_bound a 0 a.length a a.length val int[] a a int val val public static int lower_bound(int[] a,int l,int r,int val){
        if(r-l==1){
            if(a[l]<val) return r;
            return l;
        }
        int mid=(l+r)/2;
        if(a[mid]<val){
            return lower_bound(a,mid,r,val);
        }else{
            return lower_bound(a,l,mid,val);
        }

    } lower_bound {
        if(r-l==1){
            if(a[l]<val) return r;
            return l;
        }
        int mid=(l+r)/2;
        if(a[mid]<val){
            return lower_bound(a,mid,r,val);
        }else{
            return lower_bound(a,l,mid,val);
        }

    } if(r-l==1){
            if(a[l]<val) return r;
            return l;
        } r-l==1 r-l r l 1 {
            if(a[l]<val) return r;
            return l;
        } if(a[l]<val) return r; a[l]<val a[l] a l val return r; r return l; l int mid=(l+r)/2; mid (l+r)/2 (l+r) l r 2 if(a[mid]<val){
            return lower_bound(a,mid,r,val);
        }else{
            return lower_bound(a,l,mid,val);
        } a[mid]<val a[mid] a mid val {
            return lower_bound(a,mid,r,val);
        } return lower_bound(a,mid,r,val); lower_bound(a,mid,r,val) lower_bound a mid r val {
            return lower_bound(a,l,mid,val);
        } return lower_bound(a,l,mid,val); lower_bound(a,l,mid,val) lower_bound a l mid val int[] a a int l l int r r int val val public static <T> int lower_bound(T[] a,int l,int r,T val,Comparator<T> comparator){
        if(r-l==1){
            if(comparator.compare(a[l],val)<0) return r;
            return l;
        }
        int mid=(l+r)/2;
        if(comparator.compare(a[mid],val)<0){
            return lower_bound(a,mid,r,val,comparator);
        }else{
            return lower_bound(a,l,mid,val,comparator);
        }
    } lower_bound {
        if(r-l==1){
            if(comparator.compare(a[l],val)<0) return r;
            return l;
        }
        int mid=(l+r)/2;
        if(comparator.compare(a[mid],val)<0){
            return lower_bound(a,mid,r,val,comparator);
        }else{
            return lower_bound(a,l,mid,val,comparator);
        }
    } if(r-l==1){
            if(comparator.compare(a[l],val)<0) return r;
            return l;
        } r-l==1 r-l r l 1 {
            if(comparator.compare(a[l],val)<0) return r;
            return l;
        } if(comparator.compare(a[l],val)<0) return r; comparator.compare(a[l],val)<0 comparator.compare(a[l],val) comparator.compare comparator a[l] a l val 0 return r; r return l; l int mid=(l+r)/2; mid (l+r)/2 (l+r) l r 2 if(comparator.compare(a[mid],val)<0){
            return lower_bound(a,mid,r,val,comparator);
        }else{
            return lower_bound(a,l,mid,val,comparator);
        } comparator.compare(a[mid],val)<0 comparator.compare(a[mid],val) comparator.compare comparator a[mid] a mid val 0 {
            return lower_bound(a,mid,r,val,comparator);
        } return lower_bound(a,mid,r,val,comparator); lower_bound(a,mid,r,val,comparator) lower_bound a mid r val comparator {
            return lower_bound(a,l,mid,val,comparator);
        } return lower_bound(a,l,mid,val,comparator); lower_bound(a,l,mid,val,comparator) lower_bound a l mid val comparator T[] a a int l l int r r T val val Comparator<T> comparator comparator public static void print(Object object){
        System.out.print(object);
    } print {
        System.out.print(object);
    } System.out.print(object) System.out.print System.out System System.out object Object object object public static void put(Object object) {
        System.out.println(object);
    } put {
        System.out.println(object);
    } System.out.println(object) System.out.println System.out System System.out object Object object object public static void put(){
        System.out.println();
    } put {
        System.out.println();
    } System.out.println() System.out.println System.out System System.out final static private class Scanner {
        private final InputStream in = System.in;
        private final byte[] buffer = new byte[1024];
        private int ptr = 0;
        private int buflen = 0;

        private boolean hasNextByte() {
            if (ptr < buflen) {
                return true;
            } else {
                ptr = 0;
                try {
                    buflen = in.read(buffer);
                } catch (IOException e) {
                    e.printStackTrace();
                }
                if (buflen <= 0) {
                    return false;
                }
            }
            return true;
        }

        private int readByte() {
            if (hasNextByte())
                return buffer[ptr++];
            else
                return -1;
        }

        private boolean isPrintableChar(int c) {
            return 33 <= c && c <= 126;
        }

        public boolean hasNext() {
            while (hasNextByte() && !isPrintableChar(buffer[ptr]))
                ptr++;
            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();
            }
        }

        public int nextInt() {
            long nl = nextLong();
            if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE)
                throw new NumberFormatException();
            return (int) nl;
        }

        public double nextDouble() {
            return Double.parseDouble(next());
        }
    } Scanner private final InputStream in = System.in; in System.in System System.in private final byte[] buffer = new byte[1024]; buffer new byte[1024] 1024 private int ptr = 0; ptr 0 private int buflen = 0; buflen 0 private boolean hasNextByte() {
            if (ptr < buflen) {
                return true;
            } else {
                ptr = 0;
                try {
                    buflen = in.read(buffer);
                } catch (IOException e) {
                    e.printStackTrace();
                }
                if (buflen <= 0) {
                    return false;
                }
            }
            return true;
        } hasNextByte {
            if (ptr < buflen) {
                return true;
            } else {
                ptr = 0;
                try {
                    buflen = in.read(buffer);
                } catch (IOException e) {
                    e.printStackTrace();
                }
                if (buflen <= 0) {
                    return false;
                }
            }
            return true;
        } if (ptr < buflen) {
                return true;
            } else {
                ptr = 0;
                try {
                    buflen = in.read(buffer);
                } catch (IOException e) {
                    e.printStackTrace();
                }
                if (buflen <= 0) {
                    return false;
                }
            } ptr < buflen ptr buflen {
                return true;
            } return true; true {
                ptr = 0;
                try {
                    buflen = in.read(buffer);
                } catch (IOException e) {
                    e.printStackTrace();
                }
                if (buflen <= 0) {
                    return false;
                }
            } ptr = 0 ptr 0 try {
                    buflen = in.read(buffer);
                } catch (IOException e) {
                    e.printStackTrace();
                } catch (IOException e) {
                    e.printStackTrace();
                } IOException e {
                    e.printStackTrace();
                } e.printStackTrace() e.printStackTrace e {
                    buflen = in.read(buffer);
                } buflen = in.read(buffer) buflen in.read(buffer) in.read in buffer if (buflen <= 0) {
                    return false;
                } buflen <= 0 buflen 0 {
                    return false;
                } return false; false return true; true private int readByte() {
            if (hasNextByte())
                return buffer[ptr++];
            else
                return -1;
        } readByte {
            if (hasNextByte())
                return buffer[ptr++];
            else
                return -1;
        } if (hasNextByte())
                return buffer[ptr++];
            else
                return -1; hasNextByte() hasNextByte return buffer[ptr++]; buffer[ptr++] buffer ptr++ ptr return -1; -1 1 private boolean isPrintableChar(int c) {
            return 33 <= c && c <= 126;
        } isPrintableChar {
            return 33 <= c && c <= 126;
        } return 33 <= c && c <= 126; 33 <= c && c <= 126 33 <= c 33 c c <= 126 c 126 int c c public boolean hasNext() {
            while (hasNextByte() && !isPrintableChar(buffer[ptr]))
                ptr++;
            return hasNextByte();
        } hasNext {
            while (hasNextByte() && !isPrintableChar(buffer[ptr]))
                ptr++;
            return hasNextByte();
        } while (hasNextByte() && !isPrintableChar(buffer[ptr]))
                ptr++; hasNextByte() && !isPrintableChar(buffer[ptr]) hasNextByte() hasNextByte !isPrintableChar(buffer[ptr]) isPrintableChar(buffer[ptr]) isPrintableChar buffer[ptr] buffer ptr ptr++ ptr return hasNextByte(); hasNextByte() 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();
        } next {
            if (!hasNext())
                throw new NoSuchElementException();
            StringBuilder sb = new StringBuilder();
            int b = readByte();
            while (isPrintableChar(b)) {
                sb.appendCodePoint(b);
                b = readByte();
            }
            return sb.toString();
        } if (!hasNext())
                throw new NoSuchElementException(); !hasNext() hasNext() hasNext throw new NoSuchElementException(); new NoSuchElementException() StringBuilder sb = new StringBuilder(); sb new StringBuilder() int b = readByte(); b readByte() readByte while (isPrintableChar(b)) {
                sb.appendCodePoint(b);
                b = readByte();
            } isPrintableChar(b) isPrintableChar b {
                sb.appendCodePoint(b);
                b = readByte();
            } sb.appendCodePoint(b) sb.appendCodePoint sb b b = readByte() b readByte() readByte return sb.toString(); sb.toString() sb.toString sb 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();
            }
        } 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();
            }
        } if (!hasNext())
                throw new NoSuchElementException(); !hasNext() hasNext() hasNext throw new NoSuchElementException(); new NoSuchElementException() long n = 0; n 0 boolean minus = false; minus false int b = readByte(); b readByte() readByte if (b == '-') {
                minus = true;
                b = readByte();
            } b == '-' b '-' {
                minus = true;
                b = readByte();
            } minus = true minus true b = readByte() b readByte() readByte if (b < '0' || '9' < b) {
                throw new NumberFormatException();
            } b < '0' || '9' < b b < '0' b '0' '9' < b '9' b {
                throw new NumberFormatException();
            } throw new NumberFormatException(); 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();
            } 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();
            } if ('0' <= b && b <= '9') {
                    n *= 10;
                    n += b - '0';
                } else if (b == -1 || !isPrintableChar(b)) {
                    return minus ? -n : n;
                } else {
                    throw new NumberFormatException();
                } '0' <= b && b <= '9' '0' <= b '0' b b <= '9' b '9' {
                    n *= 10;
                    n += b - '0';
                } n *= 10 n 10 n += b - '0' n b - '0' b '0' if (b == -1 || !isPrintableChar(b)) {
                    return minus ? -n : n;
                } else {
                    throw new NumberFormatException();
                } b == -1 || !isPrintableChar(b) b == -1 b -1 1 !isPrintableChar(b) isPrintableChar(b) isPrintableChar b {
                    return minus ? -n : n;
                } return minus ? -n : n; minus ? -n : n minus -n n n {
                    throw new NumberFormatException();
                } throw new NumberFormatException(); new NumberFormatException() b = readByte() b readByte() readByte public int nextInt() {
            long nl = nextLong();
            if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE)
                throw new NumberFormatException();
            return (int) nl;
        } nextInt {
            long nl = nextLong();
            if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE)
                throw new NumberFormatException();
            return (int) nl;
        } long nl = nextLong(); nl nextLong() nextLong if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE)
                throw new NumberFormatException(); nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE nl < Integer.MIN_VALUE nl Integer.MIN_VALUE Integer Integer.MIN_VALUE nl > Integer.MAX_VALUE nl Integer.MAX_VALUE Integer Integer.MAX_VALUE throw new NumberFormatException(); new NumberFormatException() return (int) nl; (int) nl public double nextDouble() {
            return Double.parseDouble(next());
        } nextDouble {
            return Double.parseDouble(next());
        } return Double.parseDouble(next()); Double.parseDouble(next()) Double.parseDouble Double next() next final static private class FixedPair {
        final private long x, y;
        final static public FixedPair ZEROS=new FixedPair(0,0);
        FixedPair(long x, long y) {
            this.x = x;
            this.y = y;
        }

        public long getX() {
            return x;
        }

        public long getY() {
            return y;
        }

        @Override
        public int hashCode() {
            return (int)x+(int)y;
        }

        @Override
        public boolean equals(Object obj) {
            boolean result=super.equals(obj);
            if(obj.getClass()!=this.getClass()){
                return false;
            }
            FixedPair pair=(FixedPair)obj;
            if(this.x==pair.x&&this.y==pair.y) return true;
            return false;
        }

        @Override
        public String toString() {
            return String.format("(%d,%d)", x, y);
        }
    } FixedPair final private long x x y; y final static public FixedPair ZEROS=new FixedPair(0,0); ZEROS new FixedPair(0,0) FixedPair(long x, long y) {
            this.x = x;
            this.y = y;
        } FixedPair {
            this.x = x;
            this.y = y;
        } this.x = x this.x this this.x x this.y = y this.y this this.y y long x x long y y public long getX() {
            return x;
        } getX {
            return x;
        } return x; x public long getY() {
            return y;
        } getY {
            return y;
        } return y; y @Override
        public int hashCode() {
            return (int)x+(int)y;
        } hashCode {
            return (int)x+(int)y;
        } return (int)x+(int)y; (int)x+(int)y (int)x (int)y @Override
        public boolean equals(Object obj) {
            boolean result=super.equals(obj);
            if(obj.getClass()!=this.getClass()){
                return false;
            }
            FixedPair pair=(FixedPair)obj;
            if(this.x==pair.x&&this.y==pair.y) return true;
            return false;
        } equals {
            boolean result=super.equals(obj);
            if(obj.getClass()!=this.getClass()){
                return false;
            }
            FixedPair pair=(FixedPair)obj;
            if(this.x==pair.x&&this.y==pair.y) return true;
            return false;
        } boolean result=super.equals(obj); result super.equals(obj) super.equals super obj if(obj.getClass()!=this.getClass()){
                return false;
            } obj.getClass()!=this.getClass() obj.getClass() obj.getClass obj this.getClass() this.getClass this {
                return false;
            } return false; false FixedPair pair=(FixedPair)obj; pair (FixedPair)obj if(this.x==pair.x&&this.y==pair.y) return true; this.x==pair.x&&this.y==pair.y this.x==pair.x this.x this this.x pair.x pair pair.x this.y==pair.y this.y this this.y pair.y pair pair.y return true; true return false; false Object obj obj @Override
        public String toString() {
            return String.format("(%d,%d)", x, y);
        } toString {
            return String.format("(%d,%d)", x, y);
        } return String.format("(%d,%d)", x, y); String.format("(%d,%d)", x, y) String.format String "(%d,%d)" x y final static private class Tuple<T,V>{
        //immutabl1でないことに注意(T,Vがmutableの場合変更可能)
        final private T t;
        final private V v;
        Tuple(T t,V v){
            this.t=t;
            this.v=v;
        }

        public T getT() {
            return t;
        }

        public V getV() {
            return v;
        }

        @Override
        public int hashCode() {
            return (t.hashCode()+v.hashCode());
        }

        @Override
        @SuppressWarnings("unchecked")
        public boolean equals(Object obj) {
            if(obj.getClass()!=this.getClass()){
                return false;
            }
            Tuple<T,V> tuple=(Tuple<T, V>) obj;
            return tuple.t.equals(this.t)&&tuple.v.equals(this.v);
        }

        @Override
        public String toString() {
            return String.format("<Tuple>=<%s,%s>",t,v);
        }
    } Tuple //immutabl1でないことに注意(T,Vがmutableの場合変更可能)
        final private T t; t final private V v; v Tuple(T t,V v){
            this.t=t;
            this.v=v;
        } Tuple {
            this.t=t;
            this.v=v;
        } this.t=t this.t this this.t t this.v=v this.v this this.v v T t t V v v public T getT() {
            return t;
        } getT {
            return t;
        } return t; t public V getV() {
            return v;
        } getV {
            return v;
        } return v; v @Override
        public int hashCode() {
            return (t.hashCode()+v.hashCode());
        } hashCode {
            return (t.hashCode()+v.hashCode());
        } return (t.hashCode()+v.hashCode()); (t.hashCode()+v.hashCode()) t.hashCode() t.hashCode t v.hashCode() v.hashCode v @Override
        @SuppressWarnings("unchecked")
        public boolean equals(Object obj) {
            if(obj.getClass()!=this.getClass()){
                return false;
            }
            Tuple<T,V> tuple=(Tuple<T, V>) obj;
            return tuple.t.equals(this.t)&&tuple.v.equals(this.v);
        } equals {
            if(obj.getClass()!=this.getClass()){
                return false;
            }
            Tuple<T,V> tuple=(Tuple<T, V>) obj;
            return tuple.t.equals(this.t)&&tuple.v.equals(this.v);
        } if(obj.getClass()!=this.getClass()){
                return false;
            } obj.getClass()!=this.getClass() obj.getClass() obj.getClass obj this.getClass() this.getClass this {
                return false;
            } return false; false Tuple<T,V> tuple=(Tuple<T, V>) obj; tuple (Tuple<T, V>) obj return tuple.t.equals(this.t)&&tuple.v.equals(this.v); tuple.t.equals(this.t)&&tuple.v.equals(this.v) tuple.t.equals(this.t) tuple.t.equals tuple.t tuple tuple.t this.t this this.t tuple.v.equals(this.v) tuple.v.equals tuple.v tuple tuple.v this.v this this.v Object obj obj @Override
        public String toString() {
            return String.format("<Tuple>=<%s,%s>",t,v);
        } toString {
            return String.format("<Tuple>=<%s,%s>",t,v);
        } return String.format("<Tuple>=<%s,%s>",t,v); String.format("<Tuple>=<%s,%s>",t,v) String.format String "<Tuple>=<%s,%s>" t v final static private class Util {
        static long gcd(long a,long b){
            //最大公約数　
            if(a%b==0)return b;
            return gcd(b,a%b);
        }
        static long lcm(long a,long b){
            //最小公倍数
            long gcd=gcd(a,b);
            long result=b/gcd;
            return a*result;
        }
        static long kaijoMod(int n,int mod){
            if(n<1) return -1;
            long result=1;
            for(int i=n;i>1;i--){
                result*=i;
                result%=mod;
            }
            return result;
        }
        static <T extends Comparable<T>> Map<T,Integer> count(List<T> list){
            //副作用
            Collections.sort(list);
            Map<T,Integer> result=new HashMap<>();
            int l=0,r=0;
            while(l<list.size()){
                while(r<list.size()-1&&list.get(r).equals(r+1)){
                    r++;
                }
                result.put(list.get(r),r-l+1);
                r++;
                l=r;
            }
            return result;

        }
        static Map<Integer,Integer> count(int[] array){
            //副作用
            Arrays.sort(array);
            Map<Integer,Integer> result=new HashMap<>();
            int l=0,r=0;
            while(l<array.length){
                while(r<array.length-1&&array[r]==array[r+1]){
                    r++;
                }
                result.put(array[l],r-l+1);
                r++;
                l=r;
            }
            return result;
        }
        static <T> String toStringBWS(Iterable<T> iterable){
            Iterator<T> ite=iterable.iterator();
            return toStringBWS(ite);
        }
        static <T> String toStringBWS(Iterator<T> ite){
            StringBuilder sb=new StringBuilder();
            sb.append(ite.next());
            while(ite.hasNext()){
                sb.append(" ");
                sb.append(ite.next());
            }
            return sb.toString();
        }
        static int[] factoringInPrimeNumbers(long n,int size){
            //素因数分解
            //sizeがnに比べて小さい場合完全に素因数分解出来ていない可能性がある
            int[] result=new int[size];
            for(int i=2;n>1&&i< result.length;i++){
                while(n%i==0){
                    result[i]++;
                    n/=i;
                }
            }
            return result;

        }
    } Util static long gcd(long a,long b){
            //最大公約数　
            if(a%b==0)return b;
            return gcd(b,a%b);
        } gcd {
            //最大公約数　
            if(a%b==0)return b;
            return gcd(b,a%b);
        } if(a%b==0)return b; a%b==0 a%b a b 0 return b; b return gcd(b,a%b); gcd(b,a%b) gcd b a%b a b long a a long b b static long lcm(long a,long b){
            //最小公倍数
            long gcd=gcd(a,b);
            long result=b/gcd;
            return a*result;
        } lcm {
            //最小公倍数
            long gcd=gcd(a,b);
            long result=b/gcd;
            return a*result;
        } long gcd=gcd(a,b); gcd gcd(a,b) gcd a b long result=b/gcd; result b/gcd b gcd return a*result; a*result a result long a a long b b static long kaijoMod(int n,int mod){
            if(n<1) return -1;
            long result=1;
            for(int i=n;i>1;i--){
                result*=i;
                result%=mod;
            }
            return result;
        } kaijoMod {
            if(n<1) return -1;
            long result=1;
            for(int i=n;i>1;i--){
                result*=i;
                result%=mod;
            }
            return result;
        } if(n<1) return -1; n<1 n 1 return -1; -1 1 long result=1; result 1 for(int i=n;i>1;i--){
                result*=i;
                result%=mod;
            } int i=n; int i=n; i n i>1 i 1 i-- i-- i {
                result*=i;
                result%=mod;
            } {
                result*=i;
                result%=mod;
            } result*=i result i result%=mod result mod return result; result int n n int mod mod static <T extends Comparable<T>> Map<T,Integer> count(List<T> list){
            //副作用
            Collections.sort(list);
            Map<T,Integer> result=new HashMap<>();
            int l=0,r=0;
            while(l<list.size()){
                while(r<list.size()-1&&list.get(r).equals(r+1)){
                    r++;
                }
                result.put(list.get(r),r-l+1);
                r++;
                l=r;
            }
            return result;

        } count {
            //副作用
            Collections.sort(list);
            Map<T,Integer> result=new HashMap<>();
            int l=0,r=0;
            while(l<list.size()){
                while(r<list.size()-1&&list.get(r).equals(r+1)){
                    r++;
                }
                result.put(list.get(r),r-l+1);
                r++;
                l=r;
            }
            return result;

        } Collections.sort(list) Collections.sort Collections list Map<T,Integer> result=new HashMap<>(); result new HashMap<>() int l=0 l 0 r=0; r 0 while(l<list.size()){
                while(r<list.size()-1&&list.get(r).equals(r+1)){
                    r++;
                }
                result.put(list.get(r),r-l+1);
                r++;
                l=r;
            } l<list.size() l list.size() list.size list {
                while(r<list.size()-1&&list.get(r).equals(r+1)){
                    r++;
                }
                result.put(list.get(r),r-l+1);
                r++;
                l=r;
            } while(r<list.size()-1&&list.get(r).equals(r+1)){
                    r++;
                } r<list.size()-1&&list.get(r).equals(r+1) r<list.size()-1 r list.size()-1 list.size() list.size list 1 list.get(r).equals(r+1) list.get(r).equals list.get(r) list.get list r r+1 r 1 {
                    r++;
                } r++ r result.put(list.get(r),r-l+1) result.put result list.get(r) list.get list r r-l+1 r-l r l 1 r++ r l=r l r return result; result List<T> list list static Map<Integer,Integer> count(int[] array){
            //副作用
            Arrays.sort(array);
            Map<Integer,Integer> result=new HashMap<>();
            int l=0,r=0;
            while(l<array.length){
                while(r<array.length-1&&array[r]==array[r+1]){
                    r++;
                }
                result.put(array[l],r-l+1);
                r++;
                l=r;
            }
            return result;
        } count {
            //副作用
            Arrays.sort(array);
            Map<Integer,Integer> result=new HashMap<>();
            int l=0,r=0;
            while(l<array.length){
                while(r<array.length-1&&array[r]==array[r+1]){
                    r++;
                }
                result.put(array[l],r-l+1);
                r++;
                l=r;
            }
            return result;
        } Arrays.sort(array) Arrays.sort Arrays array Map<Integer,Integer> result=new HashMap<>(); result new HashMap<>() int l=0 l 0 r=0; r 0 while(l<array.length){
                while(r<array.length-1&&array[r]==array[r+1]){
                    r++;
                }
                result.put(array[l],r-l+1);
                r++;
                l=r;
            } l<array.length l array.length array array.length {
                while(r<array.length-1&&array[r]==array[r+1]){
                    r++;
                }
                result.put(array[l],r-l+1);
                r++;
                l=r;
            } while(r<array.length-1&&array[r]==array[r+1]){
                    r++;
                } r<array.length-1&&array[r]==array[r+1] r<array.length-1 r array.length-1 array.length array array.length 1 array[r]==array[r+1] array[r] array r array[r+1] array r+1 r 1 {
                    r++;
                } r++ r result.put(array[l],r-l+1) result.put result array[l] array l r-l+1 r-l r l 1 r++ r l=r l r return result; result int[] array array static <T> String toStringBWS(Iterable<T> iterable){
            Iterator<T> ite=iterable.iterator();
            return toStringBWS(ite);
        } toStringBWS {
            Iterator<T> ite=iterable.iterator();
            return toStringBWS(ite);
        } Iterator<T> ite=iterable.iterator(); ite iterable.iterator() iterable.iterator iterable return toStringBWS(ite); toStringBWS(ite) toStringBWS ite Iterable<T> iterable iterable static <T> String toStringBWS(Iterator<T> ite){
            StringBuilder sb=new StringBuilder();
            sb.append(ite.next());
            while(ite.hasNext()){
                sb.append(" ");
                sb.append(ite.next());
            }
            return sb.toString();
        } toStringBWS {
            StringBuilder sb=new StringBuilder();
            sb.append(ite.next());
            while(ite.hasNext()){
                sb.append(" ");
                sb.append(ite.next());
            }
            return sb.toString();
        } StringBuilder sb=new StringBuilder(); sb new StringBuilder() sb.append(ite.next()) sb.append sb ite.next() ite.next ite while(ite.hasNext()){
                sb.append(" ");
                sb.append(ite.next());
            } ite.hasNext() ite.hasNext ite {
                sb.append(" ");
                sb.append(ite.next());
            } sb.append(" ") sb.append sb " " sb.append(ite.next()) sb.append sb ite.next() ite.next ite return sb.toString(); sb.toString() sb.toString sb Iterator<T> ite ite static int[] factoringInPrimeNumbers(long n,int size){
            //素因数分解
            //sizeがnに比べて小さい場合完全に素因数分解出来ていない可能性がある
            int[] result=new int[size];
            for(int i=2;n>1&&i< result.length;i++){
                while(n%i==0){
                    result[i]++;
                    n/=i;
                }
            }
            return result;

        } factoringInPrimeNumbers {
            //素因数分解
            //sizeがnに比べて小さい場合完全に素因数分解出来ていない可能性がある
            int[] result=new int[size];
            for(int i=2;n>1&&i< result.length;i++){
                while(n%i==0){
                    result[i]++;
                    n/=i;
                }
            }
            return result;

        } int[] result=new int[size]; result new int[size] size for(int i=2;n>1&&i< result.length;i++){
                while(n%i==0){
                    result[i]++;
                    n/=i;
                }
            } int i=2; int i=2; i 2 n>1&&i< result.length n>1 n 1 i< result.length i result.length result result.length i++ i++ i {
                while(n%i==0){
                    result[i]++;
                    n/=i;
                }
            } {
                while(n%i==0){
                    result[i]++;
                    n/=i;
                }
            } while(n%i==0){
                    result[i]++;
                    n/=i;
                } n%i==0 n%i n i 0 {
                    result[i]++;
                    n/=i;
                } result[i]++ result[i] result i n/=i n i return result; result long n n int size size public class Main {
    public static void main(String[] args) {
        Scanner scanner=new Scanner();
        final String s = scanner.next();
        final String t = scanner.next();
        int ans=Integer.MAX_VALUE;
        for (int i = 0; i <= s.length() - t.length(); i++) {
            int count=0;
            for (int j = 0; j < t.length(); j++) {
                if(s.charAt(i+j)!=t.charAt(j)){
                    count++;
                }
            }
            ans = min(count, ans);
        }
        put(ans);

    }

    public static int upper_bound(int[] a,int val){
        return upper_bound(a,0,a.length,val);
    }
    public static int upper_bound(int[] a,int l,int r,int val){
        if(r-l==1){
            if(a[l]>val) return l;
            return r;
        }
        int mid=(l+r)/2;
        if(a[mid]>val){
            return upper_bound(a,l,mid,val);
        }else{
            return upper_bound(a,mid,r,val);
        }
    }
    public static <T> int upper_bound(T[] a,int l,int r,T val,Comparator<T> comparator){
        if(r-l==1){
            if(comparator.compare(a[l],val)>0) return l;
            return r;
        }
        int mid=(l+r)/2;
        if(comparator.compare(a[mid],val)>0){
            return upper_bound(a,l,mid,val,comparator);
        }else{
            return upper_bound(a,mid,r,val,comparator);
        }
    }
    public static int lower_bound(int[] a,int val){
        return lower_bound(a,0,a.length,val);
    }
    public static int lower_bound(int[] a,int l,int r,int val){
        if(r-l==1){
            if(a[l]<val) return r;
            return l;
        }
        int mid=(l+r)/2;
        if(a[mid]<val){
            return lower_bound(a,mid,r,val);
        }else{
            return lower_bound(a,l,mid,val);
        }

    }

    public static <T> int lower_bound(T[] a,int l,int r,T val,Comparator<T> comparator){
        if(r-l==1){
            if(comparator.compare(a[l],val)<0) return r;
            return l;
        }
        int mid=(l+r)/2;
        if(comparator.compare(a[mid],val)<0){
            return lower_bound(a,mid,r,val,comparator);
        }else{
            return lower_bound(a,l,mid,val,comparator);
        }
    }


    public static void print(Object object){
        System.out.print(object);
    }
    public static void put(Object object) {
        System.out.println(object);
    }
    public static void put(){
        System.out.println();
    }

    final static private class Scanner {
        private final InputStream in = System.in;
        private final byte[] buffer = new byte[1024];
        private int ptr = 0;
        private int buflen = 0;

        private boolean hasNextByte() {
            if (ptr < buflen) {
                return true;
            } else {
                ptr = 0;
                try {
                    buflen = in.read(buffer);
                } catch (IOException e) {
                    e.printStackTrace();
                }
                if (buflen <= 0) {
                    return false;
                }
            }
            return true;
        }

        private int readByte() {
            if (hasNextByte())
                return buffer[ptr++];
            else
                return -1;
        }

        private boolean isPrintableChar(int c) {
            return 33 <= c && c <= 126;
        }

        public boolean hasNext() {
            while (hasNextByte() && !isPrintableChar(buffer[ptr]))
                ptr++;
            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();
            }
        }

        public int nextInt() {
            long nl = nextLong();
            if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE)
                throw new NumberFormatException();
            return (int) nl;
        }

        public double nextDouble() {
            return Double.parseDouble(next());
        }
    }
    final static private class FixedPair {
        final private long x, y;
        final static public FixedPair ZEROS=new FixedPair(0,0);
        FixedPair(long x, long y) {
            this.x = x;
            this.y = y;
        }

        public long getX() {
            return x;
        }

        public long getY() {
            return y;
        }

        @Override
        public int hashCode() {
            return (int)x+(int)y;
        }

        @Override
        public boolean equals(Object obj) {
            boolean result=super.equals(obj);
            if(obj.getClass()!=this.getClass()){
                return false;
            }
            FixedPair pair=(FixedPair)obj;
            if(this.x==pair.x&&this.y==pair.y) return true;
            return false;
        }

        @Override
        public String toString() {
            return String.format("(%d,%d)", x, y);
        }
    }
    final static private class Tuple<T,V>{
        //immutabl1でないことに注意(T,Vがmutableの場合変更可能)
        final private T t;
        final private V v;
        Tuple(T t,V v){
            this.t=t;
            this.v=v;
        }

        public T getT() {
            return t;
        }

        public V getV() {
            return v;
        }

        @Override
        public int hashCode() {
            return (t.hashCode()+v.hashCode());
        }

        @Override
        @SuppressWarnings("unchecked")
        public boolean equals(Object obj) {
            if(obj.getClass()!=this.getClass()){
                return false;
            }
            Tuple<T,V> tuple=(Tuple<T, V>) obj;
            return tuple.t.equals(this.t)&&tuple.v.equals(this.v);
        }

        @Override
        public String toString() {
            return String.format("<Tuple>=<%s,%s>",t,v);
        }
    }
    final static private class Util {
        static long gcd(long a,long b){
            //最大公約数　
            if(a%b==0)return b;
            return gcd(b,a%b);
        }
        static long lcm(long a,long b){
            //最小公倍数
            long gcd=gcd(a,b);
            long result=b/gcd;
            return a*result;
        }
        static long kaijoMod(int n,int mod){
            if(n<1) return -1;
            long result=1;
            for(int i=n;i>1;i--){
                result*=i;
                result%=mod;
            }
            return result;
        }
        static <T extends Comparable<T>> Map<T,Integer> count(List<T> list){
            //副作用
            Collections.sort(list);
            Map<T,Integer> result=new HashMap<>();
            int l=0,r=0;
            while(l<list.size()){
                while(r<list.size()-1&&list.get(r).equals(r+1)){
                    r++;
                }
                result.put(list.get(r),r-l+1);
                r++;
                l=r;
            }
            return result;

        }
        static Map<Integer,Integer> count(int[] array){
            //副作用
            Arrays.sort(array);
            Map<Integer,Integer> result=new HashMap<>();
            int l=0,r=0;
            while(l<array.length){
                while(r<array.length-1&&array[r]==array[r+1]){
                    r++;
                }
                result.put(array[l],r-l+1);
                r++;
                l=r;
            }
            return result;
        }
        static <T> String toStringBWS(Iterable<T> iterable){
            Iterator<T> ite=iterable.iterator();
            return toStringBWS(ite);
        }
        static <T> String toStringBWS(Iterator<T> ite){
            StringBuilder sb=new StringBuilder();
            sb.append(ite.next());
            while(ite.hasNext()){
                sb.append(" ");
                sb.append(ite.next());
            }
            return sb.toString();
        }
        static int[] factoringInPrimeNumbers(long n,int size){
            //素因数分解
            //sizeがnに比べて小さい場合完全に素因数分解出来ていない可能性がある
            int[] result=new int[size];
            for(int i=2;n>1&&i< result.length;i++){
                while(n%i==0){
                    result[i]++;
                    n/=i;
                }
            }
            return result;

        }
    }
} public class Main {
    public static void main(String[] args) {
        Scanner scanner=new Scanner();
        final String s = scanner.next();
        final String t = scanner.next();
        int ans=Integer.MAX_VALUE;
        for (int i = 0; i <= s.length() - t.length(); i++) {
            int count=0;
            for (int j = 0; j < t.length(); j++) {
                if(s.charAt(i+j)!=t.charAt(j)){
                    count++;
                }
            }
            ans = min(count, ans);
        }
        put(ans);

    }

    public static int upper_bound(int[] a,int val){
        return upper_bound(a,0,a.length,val);
    }
    public static int upper_bound(int[] a,int l,int r,int val){
        if(r-l==1){
            if(a[l]>val) return l;
            return r;
        }
        int mid=(l+r)/2;
        if(a[mid]>val){
            return upper_bound(a,l,mid,val);
        }else{
            return upper_bound(a,mid,r,val);
        }
    }
    public static <T> int upper_bound(T[] a,int l,int r,T val,Comparator<T> comparator){
        if(r-l==1){
            if(comparator.compare(a[l],val)>0) return l;
            return r;
        }
        int mid=(l+r)/2;
        if(comparator.compare(a[mid],val)>0){
            return upper_bound(a,l,mid,val,comparator);
        }else{
            return upper_bound(a,mid,r,val,comparator);
        }
    }
    public static int lower_bound(int[] a,int val){
        return lower_bound(a,0,a.length,val);
    }
    public static int lower_bound(int[] a,int l,int r,int val){
        if(r-l==1){
            if(a[l]<val) return r;
            return l;
        }
        int mid=(l+r)/2;
        if(a[mid]<val){
            return lower_bound(a,mid,r,val);
        }else{
            return lower_bound(a,l,mid,val);
        }

    }

    public static <T> int lower_bound(T[] a,int l,int r,T val,Comparator<T> comparator){
        if(r-l==1){
            if(comparator.compare(a[l],val)<0) return r;
            return l;
        }
        int mid=(l+r)/2;
        if(comparator.compare(a[mid],val)<0){
            return lower_bound(a,mid,r,val,comparator);
        }else{
            return lower_bound(a,l,mid,val,comparator);
        }
    }


    public static void print(Object object){
        System.out.print(object);
    }
    public static void put(Object object) {
        System.out.println(object);
    }
    public static void put(){
        System.out.println();
    }

    final static private class Scanner {
        private final InputStream in = System.in;
        private final byte[] buffer = new byte[1024];
        private int ptr = 0;
        private int buflen = 0;

        private boolean hasNextByte() {
            if (ptr < buflen) {
                return true;
            } else {
                ptr = 0;
                try {
                    buflen = in.read(buffer);
                } catch (IOException e) {
                    e.printStackTrace();
                }
                if (buflen <= 0) {
                    return false;
                }
            }
            return true;
        }

        private int readByte() {
            if (hasNextByte())
                return buffer[ptr++];
            else
                return -1;
        }

        private boolean isPrintableChar(int c) {
            return 33 <= c && c <= 126;
        }

        public boolean hasNext() {
            while (hasNextByte() && !isPrintableChar(buffer[ptr]))
                ptr++;
            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();
            }
        }

        public int nextInt() {
            long nl = nextLong();
            if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE)
                throw new NumberFormatException();
            return (int) nl;
        }

        public double nextDouble() {
            return Double.parseDouble(next());
        }
    }
    final static private class FixedPair {
        final private long x, y;
        final static public FixedPair ZEROS=new FixedPair(0,0);
        FixedPair(long x, long y) {
            this.x = x;
            this.y = y;
        }

        public long getX() {
            return x;
        }

        public long getY() {
            return y;
        }

        @Override
        public int hashCode() {
            return (int)x+(int)y;
        }

        @Override
        public boolean equals(Object obj) {
            boolean result=super.equals(obj);
            if(obj.getClass()!=this.getClass()){
                return false;
            }
            FixedPair pair=(FixedPair)obj;
            if(this.x==pair.x&&this.y==pair.y) return true;
            return false;
        }

        @Override
        public String toString() {
            return String.format("(%d,%d)", x, y);
        }
    }
    final static private class Tuple<T,V>{
        //immutabl1でないことに注意(T,Vがmutableの場合変更可能)
        final private T t;
        final private V v;
        Tuple(T t,V v){
            this.t=t;
            this.v=v;
        }

        public T getT() {
            return t;
        }

        public V getV() {
            return v;
        }

        @Override
        public int hashCode() {
            return (t.hashCode()+v.hashCode());
        }

        @Override
        @SuppressWarnings("unchecked")
        public boolean equals(Object obj) {
            if(obj.getClass()!=this.getClass()){
                return false;
            }
            Tuple<T,V> tuple=(Tuple<T, V>) obj;
            return tuple.t.equals(this.t)&&tuple.v.equals(this.v);
        }

        @Override
        public String toString() {
            return String.format("<Tuple>=<%s,%s>",t,v);
        }
    }
    final static private class Util {
        static long gcd(long a,long b){
            //最大公約数　
            if(a%b==0)return b;
            return gcd(b,a%b);
        }
        static long lcm(long a,long b){
            //最小公倍数
            long gcd=gcd(a,b);
            long result=b/gcd;
            return a*result;
        }
        static long kaijoMod(int n,int mod){
            if(n<1) return -1;
            long result=1;
            for(int i=n;i>1;i--){
                result*=i;
                result%=mod;
            }
            return result;
        }
        static <T extends Comparable<T>> Map<T,Integer> count(List<T> list){
            //副作用
            Collections.sort(list);
            Map<T,Integer> result=new HashMap<>();
            int l=0,r=0;
            while(l<list.size()){
                while(r<list.size()-1&&list.get(r).equals(r+1)){
                    r++;
                }
                result.put(list.get(r),r-l+1);
                r++;
                l=r;
            }
            return result;

        }
        static Map<Integer,Integer> count(int[] array){
            //副作用
            Arrays.sort(array);
            Map<Integer,Integer> result=new HashMap<>();
            int l=0,r=0;
            while(l<array.length){
                while(r<array.length-1&&array[r]==array[r+1]){
                    r++;
                }
                result.put(array[l],r-l+1);
                r++;
                l=r;
            }
            return result;
        }
        static <T> String toStringBWS(Iterable<T> iterable){
            Iterator<T> ite=iterable.iterator();
            return toStringBWS(ite);
        }
        static <T> String toStringBWS(Iterator<T> ite){
            StringBuilder sb=new StringBuilder();
            sb.append(ite.next());
            while(ite.hasNext()){
                sb.append(" ");
                sb.append(ite.next());
            }
            return sb.toString();
        }
        static int[] factoringInPrimeNumbers(long n,int size){
            //素因数分解
            //sizeがnに比べて小さい場合完全に素因数分解出来ていない可能性がある
            int[] result=new int[size];
            for(int i=2;n>1&&i< result.length;i++){
                while(n%i==0){
                    result[i]++;
                    n/=i;
                }
            }
            return result;

        }
    }
} Main

import java.io.IOException;
import java.io.InputStream;
import java.util.*;
import java.util.List;
import java.util.jar.JarEntry;
import java.util.stream.Collectors;
import java.util.stream.IntStream;

import static java.lang.Math.max;
import static java.lang.Math.min;
import static java.lang.Math.pow;

import static java.lang.String.format;


public class Main {
    public static void main(String[] args) {
        Scanner scanner=new Scanner();
        final String s = scanner.next();
        final String t = scanner.next();
        int ans=Integer.MAX_VALUE;
        for (int i = 0; i <= s.length() - t.length(); i++) {
            int count=0;
            for (int j = 0; j < t.length(); j++) {
                if(s.charAt(i+j)!=t.charAt(j)){
                    count++;
                }
            }
            ans = min(count, ans);
        }
        put(ans);

    }

    public static int upper_bound(int[] a,int val){
        return upper_bound(a,0,a.length,val);
    }
    public static int upper_bound(int[] a,int l,int r,int val){
        if(r-l==1){
            if(a[l]>val) return l;
            return r;
        }
        int mid=(l+r)/2;
        if(a[mid]>val){
            return upper_bound(a,l,mid,val);
        }else{
            return upper_bound(a,mid,r,val);
        }
    }
    public static <T> int upper_bound(T[] a,int l,int r,T val,Comparator<T> comparator){
        if(r-l==1){
            if(comparator.compare(a[l],val)>0) return l;
            return r;
        }
        int mid=(l+r)/2;
        if(comparator.compare(a[mid],val)>0){
            return upper_bound(a,l,mid,val,comparator);
        }else{
            return upper_bound(a,mid,r,val,comparator);
        }
    }
    public static int lower_bound(int[] a,int val){
        return lower_bound(a,0,a.length,val);
    }
    public static int lower_bound(int[] a,int l,int r,int val){
        if(r-l==1){
            if(a[l]<val) return r;
            return l;
        }
        int mid=(l+r)/2;
        if(a[mid]<val){
            return lower_bound(a,mid,r,val);
        }else{
            return lower_bound(a,l,mid,val);
        }

    }

    public static <T> int lower_bound(T[] a,int l,int r,T val,Comparator<T> comparator){
        if(r-l==1){
            if(comparator.compare(a[l],val)<0) return r;
            return l;
        }
        int mid=(l+r)/2;
        if(comparator.compare(a[mid],val)<0){
            return lower_bound(a,mid,r,val,comparator);
        }else{
            return lower_bound(a,l,mid,val,comparator);
        }
    }


    public static void print(Object object){
        System.out.print(object);
    }
    public static void put(Object object) {
        System.out.println(object);
    }
    public static void put(){
        System.out.println();
    }

    final static private class Scanner {
        private final InputStream in = System.in;
        private final byte[] buffer = new byte[1024];
        private int ptr = 0;
        private int buflen = 0;

        private boolean hasNextByte() {
            if (ptr < buflen) {
                return true;
            } else {
                ptr = 0;
                try {
                    buflen = in.read(buffer);
                } catch (IOException e) {
                    e.printStackTrace();
                }
                if (buflen <= 0) {
                    return false;
                }
            }
            return true;
        }

        private int readByte() {
            if (hasNextByte())
                return buffer[ptr++];
            else
                return -1;
        }

        private boolean isPrintableChar(int c) {
            return 33 <= c && c <= 126;
        }

        public boolean hasNext() {
            while (hasNextByte() && !isPrintableChar(buffer[ptr]))
                ptr++;
            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();
            }
        }

        public int nextInt() {
            long nl = nextLong();
            if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE)
                throw new NumberFormatException();
            return (int) nl;
        }

        public double nextDouble() {
            return Double.parseDouble(next());
        }
    }
    final static private class FixedPair {
        final private long x, y;
        final static public FixedPair ZEROS=new FixedPair(0,0);
        FixedPair(long x, long y) {
            this.x = x;
            this.y = y;
        }

        public long getX() {
            return x;
        }

        public long getY() {
            return y;
        }

        @Override
        public int hashCode() {
            return (int)x+(int)y;
        }

        @Override
        public boolean equals(Object obj) {
            boolean result=super.equals(obj);
            if(obj.getClass()!=this.getClass()){
                return false;
            }
            FixedPair pair=(FixedPair)obj;
            if(this.x==pair.x&&this.y==pair.y) return true;
            return false;
        }

        @Override
        public String toString() {
            return String.format("(%d,%d)", x, y);
        }
    }
    final static private class Tuple<T,V>{
        //immutabl1でないことに注意(T,Vがmutableの場合変更可能)
        final private T t;
        final private V v;
        Tuple(T t,V v){
            this.t=t;
            this.v=v;
        }

        public T getT() {
            return t;
        }

        public V getV() {
            return v;
        }

        @Override
        public int hashCode() {
            return (t.hashCode()+v.hashCode());
        }

        @Override
        @SuppressWarnings("unchecked")
        public boolean equals(Object obj) {
            if(obj.getClass()!=this.getClass()){
                return false;
            }
            Tuple<T,V> tuple=(Tuple<T, V>) obj;
            return tuple.t.equals(this.t)&&tuple.v.equals(this.v);
        }

        @Override
        public String toString() {
            return String.format("<Tuple>=<%s,%s>",t,v);
        }
    }
    final static private class Util {
        static long gcd(long a,long b){
            //最大公約数　
            if(a%b==0)return b;
            return gcd(b,a%b);
        }
        static long lcm(long a,long b){
            //最小公倍数
            long gcd=gcd(a,b);
            long result=b/gcd;
            return a*result;
        }
        static long kaijoMod(int n,int mod){
            if(n<1) return -1;
            long result=1;
            for(int i=n;i>1;i--){
                result*=i;
                result%=mod;
            }
            return result;
        }
        static <T extends Comparable<T>> Map<T,Integer> count(List<T> list){
            //副作用
            Collections.sort(list);
            Map<T,Integer> result=new HashMap<>();
            int l=0,r=0;
            while(l<list.size()){
                while(r<list.size()-1&&list.get(r).equals(r+1)){
                    r++;
                }
                result.put(list.get(r),r-l+1);
                r++;
                l=r;
            }
            return result;

        }
        static Map<Integer,Integer> count(int[] array){
            //副作用
            Arrays.sort(array);
            Map<Integer,Integer> result=new HashMap<>();
            int l=0,r=0;
            while(l<array.length){
                while(r<array.length-1&&array[r]==array[r+1]){
                    r++;
                }
                result.put(array[l],r-l+1);
                r++;
                l=r;
            }
            return result;
        }
        static <T> String toStringBWS(Iterable<T> iterable){
            Iterator<T> ite=iterable.iterator();
            return toStringBWS(ite);
        }
        static <T> String toStringBWS(Iterator<T> ite){
            StringBuilder sb=new StringBuilder();
            sb.append(ite.next());
            while(ite.hasNext()){
                sb.append(" ");
                sb.append(ite.next());
            }
            return sb.toString();
        }
        static int[] factoringInPrimeNumbers(long n,int size){
            //素因数分解
            //sizeがnに比べて小さい場合完全に素因数分解出来ていない可能性がある
            int[] result=new int[size];
            for(int i=2;n>1&&i< result.length;i++){
                while(n%i==0){
                    result[i]++;
                    n/=i;
                }
            }
            return result;

        }
    }
}
