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The puzzle consists of five rooms, which can be thought of as being connected by doorways. The five-room puzzle is a classical, [1] popular puzzle involving a large rectangle divided into five "rooms". The objective of the puzzle is to cross each "wall" of the diagram with a continuous line only once. [2]
The earliest of several probability puzzles related to the Monty Hall problem is Bertrand's box paradox, posed by Joseph Bertrand in 1889 in his Calcul des probabilités. [67] In this puzzle, there are three boxes: a box containing two gold coins, a box with two silver coins, and a box with one of each.
Each valid solution to the puzzle arranges the blocks in an approximate 3 × 3 × 3 grid of blocks, with the sides of the blocks all parallel to the sides of the outer cube, and with one block of each width along each axis-parallel line of three blocks. Counting reflections and rotations as being the same solution as each other, the puzzle has ...
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A possible placement for the three 1×1×3 blocks – the vertical block has corners touching corners of the two horizontal blocks The solution of the Conway puzzle is straightforward once one realizes, based on parity considerations, that the three 1 × 1 × 3 blocks need to be placed so that precisely one of them appears in each 5 × 5 × 1 slice of the cube. [2]
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