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 Ruby (judge verdict: Wrong Answer)

while true
  n,x = gets.split(" ").map(&:to_i)
  if (n==0&&x==0) then
    break
  end
end
    
count = 0
for i in 1..n
  
  for j in 1..n
    if i != j then
      break
    end
    
    for k in 1..n
      if k != j then
        break
      end
      if(x == i+j+k) then
        count+=1
      end
    end
  end
end
p count