楼主:
LPH66 (-6.2598534e+18f)
2014-09-03 21:09:29题目网址: http://www.puzzleup.com/2014/
http://www.puzzleup.com/2014/puzzle/?247
答题时限: 9月4日7PM-比赛结束(约12月17日)
加分时限: 9月4日7PM-9月10日6:59PM
答对可得基本分100分。答案可上传5次,每改1次答案从基本分扣20分。
比赛期间内可随时上传答案,加分时限内答对第n天加(6-n)分
另依题目的难易有额外加分(如有80%的人这题答错,答对者加80分)
◆Harmonic Prisms
Let’s call a rectangular prism made of unit cubes as “harmonic prism” if
the number of outer cubes is equal to the number of inner cubes. There are
five different “harmonic prisms” made of A, B, C, D, and E unit cubes
respectively. What is the value of A if A=B+C, and A=D+E ?
The cubes on the faces of the prism are the outer cubes, and the cubes
enclosed inside are the inner cubes. Example:A 3x4x5 prism has 54 outer
cubes, and 6 inner cubes.
若一个由单位立方体所组成的长方体,其“外方块”数目及“内方块”数目相等,
称其为“和谐方体”。
现有五种不同的和谐方体,分别由 A, B, C, D, E 个单位立方体所组成。
若 A = B + C 且 A = D + E, 试问 A 之值为何?
一个长方体,有露在外面的方块称为其“外方块”,
全部包在里面的方块称为其“内方块”。
例:3 x 4 x 5 的长方体,外方块有 54 个,内方块有 6 个。