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.*;

public class Main {
	public static void main(String[] args) throws IOException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		StringBuilder keepfile = new StringBuilder();
		
        String[] str;
		int sum = 0;           //sum??????????????°???????¨???§???
		int N = 0 ;         //N ???????¨????x??¨??????????????????????????°??§???
		
		while(true) {
	//??\???????????????????????????
		str = br.readLine().split(" ");	
		int n = Integer.parseInt(str[0]);
		int x = Integer.parseInt(str[1]);;
		if(n == 0 & x == 0) break;
	    
	//?¨???????????????????????????????	 
		else if(n != 0 & x != 0 | n >= 3 & n <= 100 | x >= 0 & x <= 300) {
			for(int i = 1; i <= n-2 ; i++) {
			   for(int j = (i+1) ; j <= n-1 ; j++) {
				  for(int k = (j+1) ; k <= n ; k++) {
					    sum = i+j+k ;
					    if(sum == x) {
						  N ++ ;
					   }  
				  }
			   }
		    }
	         keepfile.append(N);
		}
	  }
		
	//??????????????????????????????
		   System.out.println(keepfile);
	
	   br.close();
	}

}