Tower NIM

Similar to the basic version of NIM, two players alternate turns picking up tiles.  The objective is still to force the opposing player to pick up the last tile. What is different is the arrangement of the tiles at the beginning of the game.  Tiles are arranged into the shape of a tower, like so…

For this game players are allowed to take as many tiles as they wish from any one row.  However, when picking up two or more tiles at once, all the tiles must be adjacent to each other in the same row without any gaps (previously picked up tiles) in between them.  The player who picks up the last tile (the location of the last tile does not matter) in the tower is the winner.

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