# Task № 6.2

## Condition:

Sasha and Misha are playing a game: first, they take turns naming a number from 1 to 213 (Misha names the first number, the numbers must be different). Then each 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.
Answer: 212

Exact match of the answer -1 point

Solution by analogy with task №6.1

## Condition:

Oksana and Seryozha are playing a game: they take turns naming a number from 1 to 165 (Oksana goes first, the numbers must be different). Then each counts the number of different rectangles with integer sides whose perimeter is equal to the named number. The winner is the one who has more rectangles. What number should Oksana name to win? Rectangles that differ only by rotation are considered the same. For example, rectangles $2 \times 3$ and $3 \times 2$ are the same.

Answer: 164

Exact match of the answer -1 point

Solution by analogy with task №6.1

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