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 Python (judge verdict: Wrong Answer)

while True:
 n,x=map(int,raw_input().split())
 if n==0 and x==0:break
 count=0
 for i in range(1,n+1):
  for j in range(i+1,n+1):
   for k in range(j+1,n+1):
    print str(i)+" "+str(j)+" "+str(k)
    if i+j+k==x:
	 count+=1	 
 print count