Alice and Bob Playing Flower Game

Alice and Bob are playing a turn-based game on a circular field surrounded by flowers. The circle represents the field, and there are x flowers in the clockwise direction between Alice and Bob, and y flowers in the anti-clockwise direction between them.

The game proceeds as follows:

Given two integers, n and m, the task is to compute the number of possible pairs (x, y) that satisfy the conditions:

Return the number of possible pairs (x, y) that satisfy the conditions mentioned in the statement.