There is a board with a number from 1 to 100 written on it (at the beginning of the game, this number is 1). In one move, a player can either divide this number or multiply it by a number from 2 to 10. But there are several rules:
1. Each number can be written on the board no more than once during the entire game. If a number has already been written on the board, it cannot be written on the board again!
2. The number must remain an integer! For example, in our game, you cannot divide the number 1 by 3, because you will get a non-integer number that cannot be written on the board.
3. The number cannot be greater than 100. For example, you cannot multiply the number 25 by 10, because the result (250) will be greater than 100.
Thus, at some point, one of the players will no longer be able to make a move. Then he will be counted as a loser, and the opponent - as a winner.
II. Example game:
Here is an example game, played by myself against myself on my website:
Game #1 (fish224 - fish224): player 1's moves player 2's moves 1 x 6 = 6; 6 x 3 = 18; 18 : 2 = 9; 9 x 6 = 54; 54 : 2 = 27; 27 x 3 = 81 !
And the player 2 won the game: there are no avaible moves for player 1: they cannot multiply 81 by anything because of the rule 3, they cannot divide 81 by 2, 4, 5, 6, 7, 8 or 10 because of the rule 2, and they cannot divide 81 by 3 or by 9, since 27 and 9 were played already.
III. Questions:
Do you think the rules of the game are too complicated or not? Would you like to play it?