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)

e = 0
loop do
    n, x =gets.chomp.split.map(&:to_i)
    if n == 0 && x == 0
        break
    end
    (1..(n - 2)).each do |i|
        ((i + 1)..(n - 1)).each do |j|
            ((j + 1)..n).each do |k|
                d = i + j + k
                if d == x  
                    e += 1
                end
            end
        end
    end
end
puts e