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 C# (judge verdict: Wrong Answer)

using System;
class Program
    {
        static void Main(string[] args)
        {
            //?????°??????
            string[] get_data;
            int sum=0, max=0, formula_count=0, num_ans = 0;

            while (true)
            {
                //???????????£??\
                get_data = Console.ReadLine().Split();
                max = int.Parse(get_data[0]);
                sum = int.Parse(get_data[1]);

                //??????
                if (max == 0 && sum == 0)
                {
                    break;
                }

                else
                {
                    //formula??¢?´¢
                    for (int num_one = 1; num_one <= max; num_one++)
                    {
                        for (int num_two = 1; num_two <= max; num_two++)
                        {
                            for (int num_three = 1; num_three <= max; num_three++)
                            {
                                num_ans = num_one + num_two + num_three;
                                if (sum == num_ans && num_one < num_two && num_two< num_three)
                                {
                                    formula_count++;
                                }
                            }
                        }
                    }
                    //formula??¢?´¢??????
                }
                Console.WriteLine(formula_count);
            }

        }
    }