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Re:DP都不行?各位大侠什么方法做的啊?

Posted by zhaozhouyang at 2010-04-08 21:58:42 on Problem 3757
In Reply To:DP都不行?各位大侠什么方法做的啊? Posted by:0702200122 at 2010-04-04 20:08:37
http://blog.sina.com.cn/jeogia

容易知道,每台电脑的下载速度vi * t = fi  立即得: vi = (pi * bi) / (pi + bi),假设选了k台,则总速度为sigema(vi) 0 < i < k  sigema为求和符号。

每台电脑需要的时间(也是总时间,因为要同步) 为 t = F / sigema(vi);

总花费为 sigema(vi * fi) = sigema(t * vi * ci).  其中t * vi = fi

设xi = vi * ci

总花费即为: cost = F * (x0 + x1 + ... + xk-1) / (v0 + v1 + ... + vk-1),F为定值

把右边的分母乘到左边,即设 y = sigema(cost * vi - F * xi) = 0

二分枚举cost,对于每个cost,把0~n台电脑的cost * vi - F * xi排序,去最小的前k个,求和得y,

如果y > 0 cost 偏大,否则偏小,符合二分策略。


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