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 PHP (judge verdict: Time Limit Exceeded)

<?php
	while (true) {
		$result = trim(fgets(STDIN));
		list($n, $x) = explode(" ", $result);

		if ($n == 0 && $x == 0) break;

		$result = array();
		for ($i = 1; $i <= $n; $i++) {
			for ($j = 1; $j <= $n; $j++) {
				if ($i == $j) continue;
				for ($k = 1; $k <= $n; $k++) {
					if ($i == $k || $j == $k) continue;
					if ($i + $j + $k == $x) {
						$arr = array($i, $j, $k);
						sort($arr);
						$val = implode("", $arr);
						if (!in_array($val, $result)) {
							$result[] = $val;
						}
					}
				}
			}
		}

		print count($result) . "\n";
	}