Aman and Jasbir are very intelligent guys of their batch. Today they are playing a game "Game of Numbers".
Description of game:
There are N numbers placed on a table.
Since two players are playing the game, they will make their moves alternatively.
In one move a player can perform the following operation.
A player will choose a number from the table and will replace that number with one of its divisor. For example, 6 can be replaced with 1, 2, or 3 (since these are the divisors of 6). Similarly, 12 can be replaced with 1, 2, 3, 4 or 6.
It is mandatory that the player has to replace the number.
A player cannot put back the same number on table.
As 1 does not have any divisor other than itself, a player cannot replace 1 with any other number. So soon a situation will arise when there will be only all 1s on the table. In that
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