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.util.Scanner;

public class Main {
	void run(){
		Scanner s = new Scanner(System.in);
		while(true){
			int n = s.nextInt();
			int x = s.nextInt();
			if(n == 0 && x == 0) break;
			int sum = 0;
			int count = 0;
			int a = 0;
			int num[] = new int [n];
			for(int i = 0; i < n; i++) num[i] = i + 1;
			for(int i = a; i < n; i++){
				for(int j = i+1; j < n; j++){
					for(int k = j+1; k < n; k++){
						sum = num[i] + num[j] + num[k];
						System.out.println(num[i]+ " " + num[j] + " "+ num[k]);
						if(sum == x){
							System.out.println(num[i]+ " " + num[j] + " "+ num[k]);
							count++;
						}
						a++;
					}
				}
			}
			System.out.println(count);
		}
	}
	public static void main(String[] args) {
	
		new Main().run();
		
	}
}