Description

Given a chessboard with an $N \times M$ grid $(1≤N≤100,1≤M≤100)$, find how many squares and how many rectangles (excluding squares) it contains.

For example, when $N=2, M=3$:

The number of squares is $8$: there are $6$ squares of side length $1$ and $2$ squares of side length $2$.

The number of rectangles is $10$:

Specifically:

• There are $4$ rectangles of size $2 \times 1$:

• There are $3$ rectangles of size $1 \times 2$:

• There are $2$ rectangles of size $3 \times 1$:

• There is $1$ rectangle of size $3 \times 2$:

Input Format

One line with two integers $N,M$.

Output Format

One line with two integers, the number of squares and the number of rectangles.

2 3

8 10

Hint

Translated by ChatGPT 5