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Given n cubes, with the faces of each cube coloured with one of n colours, determining if it is possible to stack the cubes so that each colour appears exactly once on each of the 4 sides of the stack is NP-complete. [8] [9] The cube stacking game is a two-player game version of this puzzle. Given an ordered list of cubes, the players take ...
v. t. e. Packing problems are a class of optimization problems in mathematics that involve attempting to pack objects together into containers. The goal is to either pack a single container as densely as possible or pack all objects using as few containers as possible. Many of these problems can be related to real-life packaging, storage and ...
The sum of four cubes problem[1] asks whether every integer is the sum of four cubes of integers. It is conjectured the answer is affirmative, but this conjecture has been neither proven nor disproven. [2] Some of the cubes may be negative numbers, in contrast to Waring's problem on sums of cubes, where they are required to be positive.
He had collapsed and was lying unconscious in aisle A-215, beneath shelves stocked with Tupperware and heating pads. ♦ ♦ ♦ In the years since Amazon became the symbol of the online retail economy, horror stories have periodically emerged about the conditions at its warehouses—workers faced with near-impossible targets, people dropping ...
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In multiple-layer cubes, numbers may precede face names to indicate rotation of the nth layer from the named face. 2R, 2F and 2U are then used to denote turning layers next to R, F and U respectively in the same direction as R, F and U. Using this notation for a three-layer cube is more consistent with multiple-layer cubes. [7] Rotating the ...
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