Problem:
Score : 200 points

Problem Statement

You are given two integers K and S.

Three variable X, Y and Z takes integer values satisfying 0≤X,Y,Z≤K.

How many different assignments of values to X, Y and Z are there such that X + Y + Z = S?

Constraints

2≤K≤2500

0≤S≤3K

K and S are integers.

Input

The input is given from Standard Input in the following format:

K S

Output

Print the number of the triples of X, Y and Z that satisfy the condition.

Sample Input 1

2 2

Sample Output 1

6

There are six triples of X, Y and Z that satisfy the condition:

X = 0, Y = 0, Z = 2

X = 0, Y = 2, Z = 0

X = 2, Y = 0, Z = 0

X = 0, Y = 1, Z = 1

X = 1, Y = 0, Z = 1

X = 1, Y = 1, Z = 0

Sample Input 2

5 15

Sample Output 2

1

The maximum value of X + Y + Z is 15, achieved by one triple of X, Y and Z.

Solution in JavaScript (node.js v5.12) (judge verdict: Wrong Answer)

function main(input) {
	var res = 0;
 	input = input.split(',');
  	const max = input[0];
  	const total = input[1];
	for (var X = 0;X <= max;X++) {
    	for (var Y = 0;Y <= max;Y++) {
        	for(var Z = 0;Z <= max;Z++) {
            	var a = X + Y + Z;
            	if (a == total) res++;
            }
        }
    }
	console.log(res);
}

main(require("fs").readFileSync("/dev/stdin", "utf8"));