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PUMaC 2018 · 团队赛 · 第 13 题

PUMaC 2018 — Team Round — Problem 13

专题
Discrete Math / 离散数学
难度
L3
来源
PUMaC

题目详情

  1. Consider a 10-dimensional 10 × 10 × . . . × 10 cube consisting of 10 unit cubes, such that one cube A is centered at the origin, and one cube B is centered at (9 , 9 , 9 , 9 , 9 , 9 , 9 , 9 , 9 , 9). Paint A red and remove B , leaving an empty space. Let a move consist of taking a cube adjacent to the empty space and placing it into the empty space, leaving the space originally contained by the cube empty. What is the minimum number of moves required to result in a configuration where the cube centered at (9 , 9 , 9 , 9 , 9 , 9 , 9 , 9 , 9 , 9) is red? √ √ 3 4
解析

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Original Explanation

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