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?
- K and S are integers.
The input is given from Standard Input in the following format:
Print the number of the triples of X, Y and Z that satisfy the condition.
Sample Input 1
Sample Output 1
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
Sample Output 2
The maximum value of X + Y + Z is 15, achieved by one triple of X, Y and Z.