Jenga
History
This is an adaptation of the real game of Jenga which assumes that players are able perfectly pull out and place blocks to keep the tower standing.
Rules
The Jenga tower is built out of wooden blocks that are three times as long as they are wide.
At the beginning of the game, the tower is constructed by stacking the blocks such that there are three parallel blocks in each layer and the blocks in a layer are perpendicular to the blocks in the layer below.
On your turn, pull a block out of the tower and place it on top, in order to construct a new full layer of the tower. If the current top layer of the tower is complete (i.e., has three blocks), you may pull a block out of the tower from any layer besides the top layer. If the current top layer is not complete (i.e., has one or two blocks), then you may pull a block out from any layer besides the top two layers.
A center block and a side block of a layer may not be both pulled out. For a given layer, it is legal for both side blocks to be pulled out or for the center block of the layer to be pulled out, but not both.
If you have no blocks to pull out from bottom layers on your turn, then you lose.
GamesCrafters
Nakul Srikanth (Backend, Solving, GamesmanUni GUI)