题目传送门：http://poj.org/problem?id=3154
中文题面：《算法竞赛·入门经典·训练指南》P7
作为一道很有趣的贪心，我居然只会O(n^2)的DP
真是惭愧……..
下面说正经事:
引理一：
一定存在一种最优方案，使得至少有一个最终的雕塑位置与原位置重叠
证明：
考虑每一个原的雕塑位置
设最近的最终雕塑位置在顺时针方向的点集为A
设最近的最终雕塑位置在逆时针方向的点集为A
1)|A|==|B|：显然将距离最终雕塑位置最小的点移动过去不会使答案变劣
2)|A|<|B|：显然逆时针转动尽量小的距离，使得有一个原雕塑与最终雕塑位置重叠会使答案变优
3)|A|>|B|：同理可得：应顺时针转动最小距离
引理二：
不会有两个原雕塑位置离同一个最终雕塑位置最近
证明：
设原雕塑间隔为A，最终的雕塑间隔为B
若两个原雕塑位置离同一个最终雕塑位置最近,则这两个原雕塑间的距离小于B（类比四舍五入）
但由题意得：A < B
矛盾，所以这种情况不可能发生
证明了这两个引理之后，就可以贪心啦！
随便定一个点，然后将每个原雕塑位置移动到最近的最终雕塑位置即可
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