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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Main {

    public static void main(String[] args) throws IOException {

        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));

        while(true){
            String imput = br.readLine();
            String[] strArray = imput.split(" ");
            int n = Integer.parseInt(strArray[0]);
            int x = Integer.parseInt(strArray[1]);

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

            int[] number = new int[n];
            int sum = 0;
            int count = 0;

            for(int i = 0; i < 3; i++){
                for(int j = i + 1; j < 4; j++){
                    for(int k = j + 1; k < 5; k++){
                        sum = number[i] + number[j] + number[k];

                        if(sum == n){
                            count++;
                        }

                    }
                }
            }
            System.out.println(count);
        }



    }

}