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 C (judge verdict: Time Limit Exceeded)

#include <stdio.h>

int main (void)
{

int n,x,v=0;

while(1){

scanf("%d,%d",&n,&x);

  for(int i = 1; i <= n; i++){
    for(int j = 1; j <= n; j++){
      for(int k = 1; k <= n; k++){

    if(i + j + k == x){

  printf("%d %d %d\n",i,j,k);

      }
    }
  }
  
  printf("%d\n",v);

  if(n == 0 && x == 0) break;
      }
    }
  return 0;

  }