Last week, Hamed learned about a new type of equations in his math class called Modular Equations. Lets define i modulo j as the remainder of division of i by j and denote it by <image>. A Modular Equation, as Hamed's teacher described, is an equation of the form <image> in which a and b are two non-negative integers and x is a variable. We call a positive integer x for which <image> a solution of our equation.

Hamed didn't pay much attention to the class since he was watching a movie. He only managed to understand the definitions of these equations.

Now he wants to write his math exercises but since he has no idea how to do that, he asked you for help. He has told you all he knows about Modular Equations and asked you to write a program which given two numbers a and b determines how many answers the Modular Equation <image> has.

Input

In the only line of the input two space-separated integers a and b (0 ≤ a, b ≤ 109) are given.

Output

If there is an infinite number of answers to our equation, print "infinity" (without the quotes). Otherwise print the number of solutions of the Modular Equation <image>.

Examples

Input

21 5


Output

2


Input

9435152 272


Output

282


Input

10 10


Output

infinity

Note

In the first sample the answers of the Modular Equation are 8 and 16 since <image>
import java.io.IOException;
import java.io.PrintWriter;
import java.util.Arrays;

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

public class CF_282B {
    
    static Reader sc = new Reader();
    static PrintWriter out = new PrintWriter(System.out); 
    
    public static void main(String[] args) throws IOException {             
        long a = sc.nextLong();
        long b = sc.nextLong();
        long n = a - b;
        
        if(n < 0) {
            System.out.println(0);
            return;
        }
        
        if(n == 0) {
            System.out.println("infinity");
            return;         
        }
        
        long count = 0;
        
        for (int i = 1; i*i <= n; i++) {
            if(n % i == 0) {
                if( i > b ) {
                    count++;
                }
                if (n/i > b && i*i != n) {
                    count++;
                }
            }
        }
        
        System.out.println(count);      
    }
    
    static class Reader {
        final private int BUFFER_SIZE = 1 << 16;private byte[] buffer;private int bufferPointer, bytesRead;
        public Reader(){buffer=new byte[BUFFER_SIZE];bufferPointer=bytesRead=0;
        }private void fillBuffer() throws IOException{bytesRead=System.in.read(buffer,bufferPointer=0,BUFFER_SIZE);if(bytesRead==-1)buffer[0]=-1;
        }private byte read() throws IOException{if(bufferPointer==bytesRead)fillBuffer();return buffer[bufferPointer++];
        }public String next() throws IOException{StringBuilder sb = new StringBuilder();byte c;while((c=read())<=' '){if(c==-1) return null;};do{sb.append((char)c);}while((c=read())>' ');if (sb.length()==0) return null;return sb.toString();
        }public String nextLine() throws IOException{StringBuilder sb = new StringBuilder();byte c;boolean read = false;while((c=read())!=-1){if(c=='\n') {read = true;break;}if(c>=' ')sb.append((char)c);}if (!read) return null;return sb.toString();
        }public int nextInt() throws IOException{int ret=0;byte c=read();while(c<=' ')c=read();boolean neg=(c=='-');if(neg)c=read();do{ret=ret*10+c-'0';}while((c=read())>='0'&&c<='9');if(neg)return -ret;return ret;
        }public long nextLong() throws IOException{long ret=0;byte c=read();while(c<=' ')c=read();boolean neg=(c=='-');if(neg)c=read();do{ret=ret*10L+c-'0';}while((c=read())>='0'&&c<='9');if(neg)return -ret;return ret;
        }public double nextDouble() throws IOException{double ret=0,div=1;byte c=read();while(c<=' ')c=read();boolean neg=(c=='-');if(neg)c = read();do {ret=ret*10+c-'0';}while((c=read())>='0'&&c<='9');if(c=='.')while((c=read())>='0'&&c<='9')ret+=(c-'0')/(div*=10);if(neg)return -ret;return ret;
        }public int[] na(int n) throws IOException{int[] a = new int[n];for(int i = 0;i < n;i++)a[i] = nextInt();return a;
        }public int[][] nm(int n, int m) throws IOException{int[][] map = new int[n][m];for(int i = 0;i < n;i++)map[i] = na(m);return map;
        }public void close() throws IOException{if(System.in==null) return;System.in.close();}
    }
    
    static void print(int[] A) {for(int i=0;i<A.length;i++){if(i!=0) out.print(' ');out.print(A[i]);}out.println();}
    static <T> void print(Iterable<T> A) {int i = 0;for(T act : A){if(i!=0)out.print(' ');out.print(act);i++;}out.println();}
    static void debug(Object... o) { System.err.println(Arrays.deepToString(o)); }
    
    /*
    long s = System.currentTimeMillis();
    debug(System.currentTimeMillis()-s+"ms");
     */
}
