x1+...+xk = n (2)

Input

Two positive integers $k$ and n~(k \le n \le 100).

Output

Print the number of nonnegative integral solutions for the given equation. It is known that the answer is no more than 10^{18}.

Examples

There are $15$ nonnegative integer solutions to the equation x_1 + x_2 + x_3 = 4:

• (4,0,0) and its $3$ permutations

• (3,1,0) and its $6$ permutations

• (2,2,0) and its $3$ permutations

• (2,1,1) and its $3$ permutations

In total there are 3 + 6 + 3 + 3 = 15 solutions.