CodeForces 289A Polo the Penguin and Segments

最新推荐文章于 2025-04-23 11:38:43 发布

Coder_Jeremy Wu

最新推荐文章于 2025-04-23 11:38:43 发布

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分类专栏： Codeforces 文章标签： codeforces

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这是一道关于小企鹅Polo和他的区间问题的编程题。题目要求找到使一组不相交区间长度和能被k整除的最小操作次数，每次操作可以将任意区间的左右端点增加或减少1。

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Polo the Penguin and Segments

Description

Little penguin Polo adores integer segments, that is, pairs of integers [l; r](l ≤ r).

He has a set that consists of n integer segments: [l1; r1], [l2; r2], …, [ln; rn]. We know that no two segments of this set intersect. In one move Polo can either widen any segment of the set 1 unit to the left or 1 unit to the right, that is transform [l; r] to either segment [l - 1; r], or to segment [l; r + 1].

The value of a set of segments that consists of n segments [l1; r1], [l2; r2], …, [ln; rn] is the number of integers x, such that there is integer j, for which the following inequality holds, lj ≤ x ≤ rj.

Find the minimum number of moves needed to make the value of the set of Polo’s segments divisible by k.