import java.io.IOException;
import java.io.InputStream;
import java.util.*;
import java.math.BigDecimal;
 
public class Main {
	
    public static void main(String[] args) {
    	FastScanner sc = new FastScanner();
 
    	int n = sc.nextInt();
    	int k = sc.nextInt();
    	
    	BigDecimal sum = BigDecimal.valueOf(0);
    	
    	for(int i=1; i<=n; i++){
    		if(i>=k){
    			sum = sum.add(BigDecimal.valueOf((double)1/(double)n));
    		}
    		else{
    			double need = (double)k / (double)i;
        		double x = Math.log(need) / Math.log(2);
        		int y = (int) Math.ceil(x);
        		sum = sum.add(iterationPow(BigDecimal.valueOf((double)1/(double)n),BigDecimal.valueOf(0.5),y));
        		
    		}
    	}
    
    	System.out.println(sum);
    }
    
	static BigDecimal iterationPow(BigDecimal moto,BigDecimal x, long n){
	    BigDecimal sum = moto;
	    while(n>0){
	        if((n&1)== 1){  //ビットが立っていたら
	            sum = sum.multiply(x);
	        }
	        x = x.multiply(x);
	        n >>= 1;
	    }
	    return sum;
	}
	
}
 
 
class FastScanner {
    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 static 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());}
} import java.io.IOException; IOException java.io import java.io.InputStream; InputStream java.io import java.util.*; util.* java import java.math.BigDecimal; BigDecimal java.math public class Main {
	
    public static void main(String[] args) {
    	FastScanner sc = new FastScanner();
 
    	int n = sc.nextInt();
    	int k = sc.nextInt();
    	
    	BigDecimal sum = BigDecimal.valueOf(0);
    	
    	for(int i=1; i<=n; i++){
    		if(i>=k){
    			sum = sum.add(BigDecimal.valueOf((double)1/(double)n));
    		}
    		else{
    			double need = (double)k / (double)i;
        		double x = Math.log(need) / Math.log(2);
        		int y = (int) Math.ceil(x);
        		sum = sum.add(iterationPow(BigDecimal.valueOf((double)1/(double)n),BigDecimal.valueOf(0.5),y));
        		
    		}
    	}
    
    	System.out.println(sum);
    }
    
	static BigDecimal iterationPow(BigDecimal moto,BigDecimal x, long n){
	    BigDecimal sum = moto;
	    while(n>0){
	        if((n&1)== 1){  //ビットが立っていたら
	            sum = sum.multiply(x);
	        }
	        x = x.multiply(x);
	        n >>= 1;
	    }
	    return sum;
	}
	
} Main public static void main(String[] args) {
    	FastScanner sc = new FastScanner();
 
    	int n = sc.nextInt();
    	int k = sc.nextInt();
    	
    	BigDecimal sum = BigDecimal.valueOf(0);
    	
    	for(int i=1; i<=n; i++){
    		if(i>=k){
    			sum = sum.add(BigDecimal.valueOf((double)1/(double)n));
    		}
    		else{
    			double need = (double)k / (double)i;
        		double x = Math.log(need) / Math.log(2);
        		int y = (int) Math.ceil(x);
        		sum = sum.add(iterationPow(BigDecimal.valueOf((double)1/(double)n),BigDecimal.valueOf(0.5),y));
        		
    		}
    	}
    
    	System.out.println(sum);
    } main {
    	FastScanner sc = new FastScanner();
 
    	int n = sc.nextInt();
    	int k = sc.nextInt();
    	
    	BigDecimal sum = BigDecimal.valueOf(0);
    	
    	for(int i=1; i<=n; i++){
    		if(i>=k){
    			sum = sum.add(BigDecimal.valueOf((double)1/(double)n));
    		}
    		else{
    			double need = (double)k / (double)i;
        		double x = Math.log(need) / Math.log(2);
        		int y = (int) Math.ceil(x);
        		sum = sum.add(iterationPow(BigDecimal.valueOf((double)1/(double)n),BigDecimal.valueOf(0.5),y));
        		
    		}
    	}
    
    	System.out.println(sum);
    } FastScanner sc = new FastScanner(); sc new FastScanner() int n = sc.nextInt(); n sc.nextInt() sc.nextInt sc int k = sc.nextInt(); k sc.nextInt() sc.nextInt sc BigDecimal sum = BigDecimal.valueOf(0); sum BigDecimal.valueOf(0) BigDecimal.valueOf BigDecimal 0 for(int i=1; i<=n; i++){
    		if(i>=k){
    			sum = sum.add(BigDecimal.valueOf((double)1/(double)n));
    		}
    		else{
    			double need = (double)k / (double)i;
        		double x = Math.log(need) / Math.log(2);
        		int y = (int) Math.ceil(x);
        		sum = sum.add(iterationPow(BigDecimal.valueOf((double)1/(double)n),BigDecimal.valueOf(0.5),y));
        		
    		}
    	} int i=1; int i=1; i 1 i<=n i n i++ i++ i {
    		if(i>=k){
    			sum = sum.add(BigDecimal.valueOf((double)1/(double)n));
    		}
    		else{
    			double need = (double)k / (double)i;
        		double x = Math.log(need) / Math.log(2);
        		int y = (int) Math.ceil(x);
        		sum = sum.add(iterationPow(BigDecimal.valueOf((double)1/(double)n),BigDecimal.valueOf(0.5),y));
        		
    		}
    	} {
    		if(i>=k){
    			sum = sum.add(BigDecimal.valueOf((double)1/(double)n));
    		}
    		else{
    			double need = (double)k / (double)i;
        		double x = Math.log(need) / Math.log(2);
        		int y = (int) Math.ceil(x);
        		sum = sum.add(iterationPow(BigDecimal.valueOf((double)1/(double)n),BigDecimal.valueOf(0.5),y));
        		
    		}
    	} if(i>=k){
    			sum = sum.add(BigDecimal.valueOf((double)1/(double)n));
    		}
    		else{
    			double need = (double)k / (double)i;
        		double x = Math.log(need) / Math.log(2);
        		int y = (int) Math.ceil(x);
        		sum = sum.add(iterationPow(BigDecimal.valueOf((double)1/(double)n),BigDecimal.valueOf(0.5),y));
        		
    		} i>=k i k {
    			sum = sum.add(BigDecimal.valueOf((double)1/(double)n));
    		} sum = sum.add(BigDecimal.valueOf((double)1/(double)n)) sum sum.add(BigDecimal.valueOf((double)1/(double)n)) sum.add sum BigDecimal.valueOf((double)1/(double)n) BigDecimal.valueOf BigDecimal (double)1/(double)n (double)1 (double)n {
    			double need = (double)k / (double)i;
        		double x = Math.log(need) / Math.log(2);
        		int y = (int) Math.ceil(x);
        		sum = sum.add(iterationPow(BigDecimal.valueOf((double)1/(double)n),BigDecimal.valueOf(0.5),y));
        		
    		} double need = (double)k / (double)i; need (double)k / (double)i (double)k (double)i double x = Math.log(need) / Math.log(2); x Math.log(need) / Math.log(2) Math.log(need) Math.log Math need Math.log(2) Math.log Math 2 int y = (int) Math.ceil(x); y (int) Math.ceil(x) Math.ceil Math x sum = sum.add(iterationPow(BigDecimal.valueOf((double)1/(double)n),BigDecimal.valueOf(0.5),y)) sum sum.add(iterationPow(BigDecimal.valueOf((double)1/(double)n),BigDecimal.valueOf(0.5),y)) sum.add sum iterationPow(BigDecimal.valueOf((double)1/(double)n),BigDecimal.valueOf(0.5),y) iterationPow BigDecimal.valueOf((double)1/(double)n) BigDecimal.valueOf BigDecimal (double)1/(double)n (double)1 (double)n BigDecimal.valueOf(0.5) BigDecimal.valueOf BigDecimal 0.5 y System.out.println(sum) System.out.println System.out System System.out sum String[] args args static BigDecimal iterationPow(BigDecimal moto,BigDecimal x, long n){
	    BigDecimal sum = moto;
	    while(n>0){
	        if((n&1)== 1){  //ビットが立っていたら
	            sum = sum.multiply(x);
	        }
	        x = x.multiply(x);
	        n >>= 1;
	    }
	    return sum;
	} iterationPow {
	    BigDecimal sum = moto;
	    while(n>0){
	        if((n&1)== 1){  //ビットが立っていたら
	            sum = sum.multiply(x);
	        }
	        x = x.multiply(x);
	        n >>= 1;
	    }
	    return sum;
	} BigDecimal sum = moto; sum moto while(n>0){
	        if((n&1)== 1){  //ビットが立っていたら
	            sum = sum.multiply(x);
	        }
	        x = x.multiply(x);
	        n >>= 1;
	    } n>0 n 0 {
	        if((n&1)== 1){  //ビットが立っていたら
	            sum = sum.multiply(x);
	        }
	        x = x.multiply(x);
	        n >>= 1;
	    } if((n&1)== 1){  //ビットが立っていたら
	            sum = sum.multiply(x);
	        } (n&1)== 1 (n&1) n 1 1 {  //ビットが立っていたら
	            sum = sum.multiply(x);
	        } sum = sum.multiply(x) sum sum.multiply(x) sum.multiply sum x x = x.multiply(x) x x.multiply(x) x.multiply x x n >>= 1 n 1 return sum; sum BigDecimal moto moto BigDecimal x x long n n class FastScanner {
    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 static 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());}
} FastScanner 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 static 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 public class Main {
	
    public static void main(String[] args) {
    	FastScanner sc = new FastScanner();
 
    	int n = sc.nextInt();
    	int k = sc.nextInt();
    	
    	BigDecimal sum = BigDecimal.valueOf(0);
    	
    	for(int i=1; i<=n; i++){
    		if(i>=k){
    			sum = sum.add(BigDecimal.valueOf((double)1/(double)n));
    		}
    		else{
    			double need = (double)k / (double)i;
        		double x = Math.log(need) / Math.log(2);
        		int y = (int) Math.ceil(x);
        		sum = sum.add(iterationPow(BigDecimal.valueOf((double)1/(double)n),BigDecimal.valueOf(0.5),y));
        		
    		}
    	}
    
    	System.out.println(sum);
    }
    
	static BigDecimal iterationPow(BigDecimal moto,BigDecimal x, long n){
	    BigDecimal sum = moto;
	    while(n>0){
	        if((n&1)== 1){  //ビットが立っていたら
	            sum = sum.multiply(x);
	        }
	        x = x.multiply(x);
	        n >>= 1;
	    }
	    return sum;
	}
	
} public class Main {
	
    public static void main(String[] args) {
    	FastScanner sc = new FastScanner();
 
    	int n = sc.nextInt();
    	int k = sc.nextInt();
    	
    	BigDecimal sum = BigDecimal.valueOf(0);
    	
    	for(int i=1; i<=n; i++){
    		if(i>=k){
    			sum = sum.add(BigDecimal.valueOf((double)1/(double)n));
    		}
    		else{
    			double need = (double)k / (double)i;
        		double x = Math.log(need) / Math.log(2);
        		int y = (int) Math.ceil(x);
        		sum = sum.add(iterationPow(BigDecimal.valueOf((double)1/(double)n),BigDecimal.valueOf(0.5),y));
        		
    		}
    	}
    
    	System.out.println(sum);
    }
    
	static BigDecimal iterationPow(BigDecimal moto,BigDecimal x, long n){
	    BigDecimal sum = moto;
	    while(n>0){
	        if((n&1)== 1){  //ビットが立っていたら
	            sum = sum.multiply(x);
	        }
	        x = x.multiply(x);
	        n >>= 1;
	    }
	    return sum;
	}
	
} Main
import java.io.IOException;
import java.io.InputStream;
import java.util.*;
import java.math.BigDecimal;
 
public class Main {
	
    public static void main(String[] args) {
    	FastScanner sc = new FastScanner();
 
    	int n = sc.nextInt();
    	int k = sc.nextInt();
    	
    	BigDecimal sum = BigDecimal.valueOf(0);
    	
    	for(int i=1; i<=n; i++){
    		if(i>=k){
    			sum = sum.add(BigDecimal.valueOf((double)1/(double)n));
    		}
    		else{
    			double need = (double)k / (double)i;
        		double x = Math.log(need) / Math.log(2);
        		int y = (int) Math.ceil(x);
        		sum = sum.add(iterationPow(BigDecimal.valueOf((double)1/(double)n),BigDecimal.valueOf(0.5),y));
        		
    		}
    	}
    
    	System.out.println(sum);
    }
    
	static BigDecimal iterationPow(BigDecimal moto,BigDecimal x, long n){
	    BigDecimal sum = moto;
	    while(n>0){
	        if((n&1)== 1){  //ビットが立っていたら
	            sum = sum.multiply(x);
	        }
	        x = x.multiply(x);
	        n >>= 1;
	    }
	    return sum;
	}
	
}
 
 
class FastScanner {
    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 static 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());}
}