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 Python3 (judge verdict: Wrong Answer)





while True:
	N, x = map(int,input().split())
	if N == 0 and x == 0:
		break
	
	n = x // 3
	ctr = 0
	
	for i in range(1, n):
		for j in range(i+1, n+1):
			k = x - i -j
			if k <= N and i != k and j != k:
				ctr += 1
				print("{} {} {}".format(i, j, k))
	
	print(ctr)