Vanya has a scales for weighing loads and weights of masses w0, w1, w2, ..., w100 grams where w is some integer not less than 2 (exactly one weight of each nominal value). Vanya wonders whether he can weight an item with mass m using the given weights, if the weights can be put on both pans of the scales. Formally speaking, your task is to determine whether it is possible to place an item of mass m and some weights on the left pan of the scales, and some weights on the right pan of the scales so that the pans of the scales were in balance.

Input

The first line contains two integers w, m (2 ≤ w ≤ 109, 1 ≤ m ≤ 109) — the number defining the masses of the weights and the mass of the item.

Output

Print word 'YES' if the item can be weighted and 'NO' if it cannot.

Examples

Input

3 7


Output

YES


Input

100 99


Output

YES


Input

100 50


Output

NO

Note

Note to the first sample test. One pan can have an item of mass 7 and a weight of mass 3, and the second pan can have two weights of masses 9 and 1, correspondingly. Then 7 + 3 = 9 + 1.

Note to the second sample test. One pan of the scales can have an item of mass 99 and the weight of mass 1, and the second pan can have the weight of mass 100.

Note to the third sample test. It is impossible to measure the weight of the item in the manner described in the input. 

import java.util.*;
import java.io.*;

/**
 *
 * @author usquare
 * 
 */

public class ProblemA {

    public static int mod = (int) (1e9+7);
    public static InputReader in;
    public static PrintWriter out;
    
    public static void main(String[] args){
        
        in = new InputReader(System.in);
        out = new PrintWriter(System.out);
        
        int w=in.nextInt();
        int m=in.nextInt();
        
        while(m>0){
            int t=m%w;
            if(t==0 || t==1) {}
            else if(t==w-1) m++;
            else{
                System.out.println("NO");
                System.exit(0);
            }
            m/=w;
        }
        out.println("YES");
        
        out.close();
    }
    
    static class Pair implements Comparable<Pair>{

        long x,y,i;
        
	Pair (long x,long y,long i){
		this.x=x;
		this.y=y;
		this.i=i;
	}

	Pair (int x,int y){
		this.x=x;
		this.y=y;
	}
        
	public int compareTo(Pair o) {
		if(this.x!=o.x)
                    return Long.compare(this.x,o.x);
		else
                    return Long.compare(this.y,o.y);
		//return 0;
	}

        public boolean equals(Object o) {
            if (o instanceof Pair) {
                Pair p = (Pair)o;
                return p.x == x && p.y == y && p.i==i;
            }
            return false;
        }
    
        public int hashCode() {
            return new Long(x).hashCode() * 31 + new Long(y).hashCode()+new Long(i).hashCode()*37;
        }

        @Override
        public String toString() {
            return x+" "+y+" "+i;
        }
        
    } 
    public static class Merge {
        
        public static void sort(int inputArr[]) {
            int length = inputArr.length;
            doMergeSort(inputArr,0, length - 1);
        }
        
        private static void doMergeSort(int[] arr,int lowerIndex, int higherIndex) {        
            if (lowerIndex < higherIndex) {
                int middle = lowerIndex + (higherIndex - lowerIndex) / 2;
                doMergeSort(arr,lowerIndex, middle);
                doMergeSort(arr,middle + 1, higherIndex);
                mergeParts(arr,lowerIndex, middle, higherIndex);
            }
        }
        
        private static void mergeParts(int[]array,int lowerIndex, int middle, int higherIndex) {
            int[] temp=new int[higherIndex-lowerIndex+1];
            for (int i = lowerIndex; i <= higherIndex; i++) {
                temp[i-lowerIndex] = array[i];
            }
            int i = lowerIndex;
            int j = middle + 1;
            int k = lowerIndex;
            while (i <= middle && j <= higherIndex) {
                if (temp[i-lowerIndex] < temp[j-lowerIndex]) {
                    array[k] = temp[i-lowerIndex];
                    i++;
                } else {
                    array[k] = temp[j-lowerIndex];
                    j++;
                }
                k++;
            }
            while (i <= middle) {
                array[k] = temp[i-lowerIndex];
                k++;
                i++;
            }
            while(j<=higherIndex){
                array[k]=temp[j-lowerIndex];
                k++;
                j++;
            }
        }

    }
    
    static long[] shuffle(long[] a, Random gen){ 
        for(int i = 0, n = a.length;i < n;i++){ 
            int ind = gen.nextInt(n-i)+i; 
            long d = a[i]; 
            a[i] = a[ind]; 
            a[ind] = d; 
        } 
        return a; 
    }

        
    public static long add(long a,long b){
        long x=(a+b);
        while(x>=mod) x-=mod;
        return x;
    }

    public static long sub(long a,long b){
        long x=(a-b);
        while(x<0) x+=mod;
        return x;
    }
    
    public static long mul(long a,long b){
        a%=mod;
        b%=mod;
        long x=(a*b);
        return x%mod;
    }
    
    public static void rev(long[] a){
        for(int i=0;i<a.length/2;i++){
            long tmp=a[i];
            a[i]=a[a.length-i-1];
            a[a.length-i-1]=tmp;
        }
    }
    
    static boolean isPal(String s){
        for(int i=0, j=s.length()-1;i<=j;i++,j--){
                if(s.charAt(i)!=s.charAt(j)) return false;
        }
        return true;
    }
    static String rev(String s){
            StringBuilder sb=new StringBuilder(s);
            sb.reverse();
            return sb.toString();
    }

    static long gcd(long x,long y){
        if(y==0) return x;
    if(x%y==0)
            return y;
    else
            return gcd(y,x%y);
    }

    static int gcd(int x,int y){
        if(y==0) return x;
    if(x%y==0)
            return y;
    else 
            return gcd(y,x%y);
    }

    static long gcdExtended(long a,long b,long[] x){

        if(a==0){
            x[0]=0;
            x[1]=1;
            return b;
        }
        long[] y=new long[2];
        long gcd=gcdExtended(b%a, a, y);

        x[0]=y[1]-(b/a)*y[0];
        x[1]=y[0];

        return gcd;
    }

    static int abs(int a,int b){
    return (int)Math.abs(a-b);
    }

    static long abs(long a,long b){
    return (long)Math.abs(a-b);
    }

    static int max(int a,int b){
    if(a>b)
            return a;
    else
            return b;
    }

    static int min(int a,int b){
    if(a>b)
            return b;
    else 
            return a;
    }

    static long max(long a,long b){
    if(a>b)
            return a;
    else
            return b;
    }

    static long min(long a,long b){
    if(a>b)
            return b;
    else 
            return a;
    }


    public static long pow(long n,long p,long m){
	 long  result = 1;
	  if(p==0)
	    return 1;
          
	while(p!=0)
	{
	    if(p%2==1)
	        result *= n;
	    if(result>=m)
	    result%=m;
	    p >>=1;
	    n*=n;
	    if(n>=m)
	    n%=m;
	}
	return result;
    }
    
    public static long pow(long n,long p){
	long  result = 1;
	  if(p==0)
	    return 1;
          
	while(p!=0)
	{
	    if(p%2==1)
	        result *= n;	    
	    p >>=1;
	    n*=n;	    
	}
	return result;
    }
    
     static void debug(Object... o) {
            System.out.println(Arrays.deepToString(o));
    }

    static class InputReader {

            private final InputStream stream;
            private final byte[] buf = new byte[8192];
            private int curChar, snumChars;
            private SpaceCharFilter filter;

            InputReader(InputStream stream) {
                    this.stream = stream;
            }

            int snext() {
                    if (snumChars == -1)
                            throw new InputMismatchException();
                    if (curChar >= snumChars) {
                            curChar = 0;
                            try {
                                    snumChars = stream.read(buf);
                            } catch (IOException e) {
                                    throw new InputMismatchException();
                            }
                            if (snumChars <= 0)
                                    return -1;
                    }
                    return buf[curChar++];
            }

            int nextInt() {
                    int c = snext();
                    while (isSpaceChar(c)) {
                            c = snext();
                    }
                    int sgn = 1;
                    if (c == '-') {
                            sgn = -1;
                            c = snext();
                    }
                    int res = 0;
                    do {
                            if (c < '0' || c > '9')
                                    throw new InputMismatchException();
                            res *= 10;
                            res += c - '0';
                            c = snext();
                    } while (!isSpaceChar(c));
                    return res * sgn;
            }

            long nextLong() {
                    int c = snext();
                    while (isSpaceChar(c)) {
                            c = snext();
                    }
                    int sgn = 1;
                    if (c == '-') {
                            sgn = -1;
                            c = snext();
                    }
                    long res = 0;
                    do {
                            if (c < '0' || c > '9')
                                    throw new InputMismatchException();
                            res *= 10;
                            res += c - '0';
                            c = snext();
                    } while (!isSpaceChar(c));
                    return res * sgn;
            }

            int[] nextIntArray(int n) {
                    int a[] = new int[n];
                    for (int i = 0; i < n; i++) {
                            a[i] = nextInt();
                    }
                    return a;
            }

            long[] nextLongArray(int n) {
                    long a[] = new long[n];
                    for (int i = 0; i < n; i++) {
                            a[i] = nextInt();
                    }
                    return a;
            }

            String readString() {
                    int c = snext();
                    while (isSpaceChar(c)) {
                            c = snext();
                    }
                    StringBuilder res = new StringBuilder();
                    do {
                            res.appendCodePoint(c);
                            c = snext();
                    } while (!isSpaceChar(c));
                    return res.toString();
            }

            String nextLine() {
                    int c = snext();
                    while (isSpaceChar(c))
                            c = snext();
                    StringBuilder res = new StringBuilder();
                    do {
                            res.appendCodePoint(c);
                            c = snext();
                    } while (!isEndOfLine(c));
                    return res.toString();
            }

            boolean isSpaceChar(int c) {
                    if (filter != null)
                            return filter.isSpaceChar(c);
                    return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
            }

            private boolean isEndOfLine(int c) {
                    return c == '\n' || c == '\r' || c == -1;
            }

            interface SpaceCharFilter {
                    boolean isSpaceChar(int ch);
            }
    }
}    

