POJ 3261 Milk Patterns 求可重叠的 k 次最长重复子串(后缀数组)

2014-11-24 11:46:22 · 作者: · 浏览: 1
点击打开链接 Milk Patterns
Time Limit: 5000MS Memory Limit: 65536K
Total Submissions: 9361 Accepted: 4218
Case Time Limit: 2000MS

Description

Farmer John has noticed that the quality of milk given by his cows varies from day to day. On further investigation, he discovered that although he can't predict the quality of milk from one day to the next, there are some regular patterns in the daily milk quality.

To perform a rigorous study, he has invented a complex classification scheme by which each milk sample is recorded as an integer between 0 and 1,000,000 inclusive, and has recorded data from a single cow over N (1 ≤ N≤ 20,000) days. He wishes to find the longest pattern of samples which repeats identically at least K (2 ≤ KN) times. This may include overlapping patterns -- 1 2 3 2 3 2 3 1 repeats 2 3 2 3 twice, for example.

Help Farmer John by finding the longest repeating subsequence in the sequence of samples. It is guaranteed that at least one subsequence is repeated at least K times.

Input

Line 1: Two space-separated integers: N and K
Lines 2.. N+1: N integers, one per line, the quality of the milk on day i appears on the ith line.

Output

Line 1: One integer, the length of the longest pattern which occurs at least K times

Sample Input

8 2
1
2
3
2
3
2
3
1

Sample Output

4

Source

USACO 2006 December Gold 给定一个字符串,求至少出现 k 次的最长重复子串,这 k 个子串可以重叠。
跟POJ1743差不多,都用二分求解,只不过这道题二分求解的是最长长度,每判断mid长度时,需要遍历一下所有的height数组,看看有没有最长公共前缀长度是mid而且数量大于k的,如果存在,则此mid满足条件,继续二分。
//4876K	172MS
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