Problem:
How many ways?

Write a program which identifies the number of combinations of three integers which satisfy the following conditions:

You should select three distinct integers from 1 to n.

A total sum of the three integers is x.

For example, there are two combinations for n = 5 and x = 9.

1 + 3 + 5 = 9

2 + 3 + 4 = 9

Input

The input consists of multiple datasets. For each dataset, two integers n and x are given in a line.

The input ends with two zeros for n and x respectively. Your program should not process for these terminal symbols.

Constraints

3 ≤ n ≤ 100

0 ≤ x ≤ 300

Output

For each dataset, print the number of combinations in a line.

Sample Input

5 9
0 0

Sample Output

2

Note

      解説

Solution in JAVA (judge verdict: Wrong Answer)

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

class Main {
	public static void main(String[] args) throws Exception {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        String[] a=br.readLine().split(" ");
        int n=Integer.parseInt(a[0]);
        int x=Integer.parseInt(a[1]);
        List<String> l = new ArrayList<String>(); 
        int c=0;
        while(n!=0&&x!=0){
        	for(int i=1;i<=n;i++){
            	for(int j=1;j<=n;j++){
                	for(int k=1;k<=n;k++){
                		if(i!=j&&j!=k&&k!=i&&i+j+k==x){
                			String num=null;
                			if(i<j&&j<k){
                				num=""+i+j+k;
                			}else if(i<k&&k<j){
                				num=""+i+k+j;
                			}else if(j<i&&i<k){
                				num=""+j+i+k;
                			}else if(j<k&&k<i){
                				num=""+j+k+i;
                			}else if(k<j&&j<i){
                				num=""+k+j+i;
                			}else{
                				num=""+k+i+j;
                			}
                			if(l.indexOf(num)==-1){
                				l.add(num);
                    			c++;
                			}
                		}
                	}
            	}
        	}
        	System.out.println(c);
        	a=br.readLine().split(" ");
            n=Integer.parseInt(a[0]);
            x=Integer.parseInt(a[1]);
        }
	}
}