# Task № 6.4

## Condition:

Dima and Vlad are playing a game: first, they take turns naming a number from 1 to 97 (Dima names the first number, the numbers must be different). Then each of them counts the number of different rectangles with integer sides, the perimeter of which is equal to the named number. The winner is the one who has more rectangles. Rectangles that differ only by rotation are considered the same. For example, rectangles $2 \times 3$ and $3 \times 2$ are the same.

What number should Dima name to win?
Answer: 96

Exact match of the answer -1 point

Solution by analogy with task №6.1

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