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;

class Main {
	public static void main(String[] args) throws IOException{
		
		BufferedReader br =
				new BufferedReader(new InputStreamReader(System.in));
		
		//??\?????????????????°
		int cnt = 0;
		StringBuilder sb = new StringBuilder();
		
		while(true) {
			
			String[] str = br.readLine().split(" ");
			
			int limitNum = Integer.parseInt(str[0]);
			int sumNum = Integer.parseInt(str[1]);
			
			if(limitNum == 0 && sumNum==0) {
				break;
			}
			
			for(int i=1; i<=limitNum-2; i++) {
				for(int j=i+1; j<=limitNum-1; j++) {
					for(int k=j+1; k<=limitNum; k++) {
						if(i+j+k == sumNum) {
							cnt++;
						}
					}
				}
			}
			sb.append(cnt+"\n");
		}
		System.out.print(sb.toString());
	}

}