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Re:不明白,老师没说过,能解释一下吗?或者哪里可以查的到?

Posted by frkstyc at 2006-03-23 19:00:35 on Problem 1166
In Reply To:不明白,老师没说过,能解释一下吗?或者哪里可以查的到? Posted by:testjoan at 2006-03-23 18:52:17
这是一段简要说明,摘自Tom Verhoeff关于IOI'94的报告
Given a state of the dials, find a shortest sequence of moves to make all dials
 point up. This is not such a difficult problem. A first important observation 
is that reordering the moves in a sequence does not affect the result 
(superposition principle). A second observation transforms it into a linear 
algebra problem, involving nine linear equations in nine unknowns ($x_i$ 
indicates how often move $i$ occurs). The inversion of the resulting 
9x9-matrix can in fact be done off-line, since it is fixed. This yields an 
extremely fast and short program.

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