POJ 2533 最长上升子序列（dp）

最新推荐文章于 2022-11-23 23:57:30 发布

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最新推荐文章于 2022-11-23 23:57:30 发布 · 234 阅读

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#dp #学习总结

这篇博客介绍了如何使用动态规划（DP）解决POJ 2533问题，即找到一个数列的最长上升子序列的长度。通过输入数据格式和输出要求，博主分享了求解思路和完整的代码实现。

Problem Description

A numeric sequence of ai is ordered if a1 < a2 < ... < aN. Let the subsequence of the given numeric sequence ( a1, a2, ..., aN) be any sequence ( ai1, ai2, ..., aiK), where 1 <= i1 < i2 < ... < iK <= N. For example, sequence (1, 7, 3, 5, 9, 4, 8) has ordered subsequences, e. g., (1, 7), (3, 4, 8) and many others. All longest ordered subsequences are of length 4, e. g., (1, 3, 5, 8).

Your program, when given the numeric sequence, must find the length of its longest ordered subsequen.

Input

The first line of input file contains the length of sequence N. The second line contains the elements of sequence - N integers in the range from 0 to 10000 each, separated by spaces. 1 <= N <= 1000