hdu 3746 Cyclic Nacklace(KMP 最短循环节)

2023-11-08 12:18

本文主要是介绍hdu 3746 Cyclic Nacklace(KMP 最短循环节),希望对大家解决编程问题提供一定的参考价值,需要的开发者们随着小编来一起学习吧!

1、http://acm.hdu.edu.cn/showproblem.php?pid=3746

2、题目大意:

给定一个字符串T, 在T后面添加x个字符串(让x最小),使得新字符串由前缀字串至少循环两次构成的。

例如,

abca,  只需要再添加2个字母bc, 形成abcabc,就变成了由abc循环两次构成的。

对于长度为len的字符串,假设已经够造完了next数组,那么len-next[len]就是这个字符串的最小循环节。

如果正好len%(len-next[len])==0就说明正好组成完成的循环。

否则,说明还需要再添加几个字母才能补全。

需要补的个数是循环个数len-next[len]-f[len]%(len-next[len]).

f[len]%(len-next[len])表示在最后一个循环节中已经构造了这么多个数。

3、题目:

Cyclic Nacklace

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1598    Accepted Submission(s): 690


Problem Description
CC always becomes very depressed at the end of this month, he has checked his credit card yesterday, without any surprise, there are only 99.9 yuan left. he is too distressed and thinking about how to tide over the last days. Being inspired by the entrepreneurial spirit of "HDU CakeMan", he wants to sell some little things to make money. Of course, this is not an easy task.

As Christmas is around the corner, Boys are busy in choosing christmas presents to send to their girlfriends. It is believed that chain bracelet is a good choice. However, Things are not always so simple, as is known to everyone, girl's fond of the colorful decoration to make bracelet appears vivid and lively, meanwhile they want to display their mature side as college students. after CC understands the girls demands, he intends to sell the chain bracelet called CharmBracelet. The CharmBracelet is made up with colorful pearls to show girls' lively, and the most important thing is that it must be connected by a cyclic chain which means the color of pearls are cyclic connected from the left to right. And the cyclic count must be more than one. If you connect the leftmost pearl and the rightmost pearl of such chain, you can make a CharmBracelet. Just like the pictrue below, this CharmBracelet's cycle is 9 and its cyclic count is 2:

Now CC has brought in some ordinary bracelet chains, he wants to buy minimum number of pearls to make CharmBracelets so that he can save more money. but when remaking the bracelet, he can only add color pearls to the left end and right end of the chain, that is to say, adding to the middle is forbidden.
CC is satisfied with his ideas and ask you for help.

Input
The first line of the input is a single integer T ( 0 < T <= 100 ) which means the number of test cases.
Each test case contains only one line describe the original ordinary chain to be remade. Each character in the string stands for one pearl and there are 26 kinds of pearls being described by 'a' ~'z' characters. The length of the string Len: ( 3 <= Len <= 100000 ).

Output
For each case, you are required to output the minimum count of pearls added to make a CharmBracelet.

Sample Input
  
3 aaa abca abcde

Sample Output
  
0 2 5

Author
possessor WC

Source
HDU 3rd “Vegetable-Birds Cup” Programming Open Contest

4、代码:

#include<stdio.h>
#include<string.h>
char str[100005];
int f[100005];
void getFail(char *p, int *f)
{int m=strlen(p);f[0]=f[1]=0;for(int i=1; i<m; ++i){int j=f[i];while(j && p[i]!=p[j])j=f[j];f[i+1] = p[i]==p[j]?1+j:0;}
}
int main()
{int t;scanf("%d",&t);while(t--){//memset(str,0,sizeof(str));scanf("%s",str);getFail(str,f);int len=strlen(str);if(f[len]&&len%(len-f[len])==0)printf("0\n");else{printf("%d\n",(len-f[len])-f[len]%(len-f[len]));}}return 0;
}




这篇关于hdu 3746 Cyclic Nacklace(KMP 最短循环节)的文章就介绍到这儿,希望我们推荐的文章对编程师们有所帮助!



http://www.chinasem.cn/article/369794

相关文章

Python判断for循环最后一次的6种方法

《Python判断for循环最后一次的6种方法》在Python中,通常我们不会直接判断for循环是否正在执行最后一次迭代,因为Python的for循环是基于可迭代对象的,它不知道也不关心迭代的内部状态... 目录1.使用enuhttp://www.chinasem.cnmerate()和len()来判断for

Java循环创建对象内存溢出的解决方法

《Java循环创建对象内存溢出的解决方法》在Java中,如果在循环中不当地创建大量对象而不及时释放内存,很容易导致内存溢出(OutOfMemoryError),所以本文给大家介绍了Java循环创建对象... 目录问题1. 解决方案2. 示例代码2.1 原始版本(可能导致内存溢出)2.2 修改后的版本问题在

JAVA中while循环的使用与注意事项

《JAVA中while循环的使用与注意事项》:本文主要介绍while循环在编程中的应用,包括其基本结构、语句示例、适用场景以及注意事项,文中通过代码介绍的非常详细,需要的朋友可以参考下... 目录while循环1. 什么是while循环2. while循环的语句3.while循环的适用场景以及优势4. 注意

Python中的异步:async 和 await以及操作中的事件循环、回调和异常

《Python中的异步:async和await以及操作中的事件循环、回调和异常》在现代编程中,异步操作在处理I/O密集型任务时,可以显著提高程序的性能和响应速度,Python提供了asyn... 目录引言什么是异步操作?python 中的异步编程基础async 和 await 关键字asyncio 模块理论

好题——hdu2522(小数问题:求1/n的第一个循环节)

好喜欢这题,第一次做小数问题,一开始真心没思路,然后参考了网上的一些资料。 知识点***********************************无限不循环小数即无理数,不能写作两整数之比*****************************(一开始没想到,小学没学好) 此题1/n肯定是一个有限循环小数,了解这些后就能做此题了。 按照除法的机制,用一个函数表示出来就可以了,代码如下

usaco 1.3 Mixing Milk (结构体排序 qsort) and hdu 2020(sort)

到了这题学会了结构体排序 于是回去修改了 1.2 milking cows 的算法~ 结构体排序核心: 1.结构体定义 struct Milk{int price;int milks;}milk[5000]; 2.自定义的比较函数,若返回值为正,qsort 函数判定a>b ;为负,a<b;为0,a==b; int milkcmp(const void *va,c

poj 3974 and hdu 3068 最长回文串的O(n)解法(Manacher算法)

求一段字符串中的最长回文串。 因为数据量比较大,用原来的O(n^2)会爆。 小白上的O(n^2)解法代码:TLE啦~ #include<stdio.h>#include<string.h>const int Maxn = 1000000;char s[Maxn];int main(){char e[] = {"END"};while(scanf("%s", s) != EO

hdu 2093 考试排名(sscanf)

模拟题。 直接从教程里拉解析。 因为表格里的数据格式不统一。有时候有"()",有时候又没有。而它也不会给我们提示。 这种情况下,就只能它它们统一看作字符串来处理了。现在就请出我们的主角sscanf()! sscanf 语法: #include int sscanf( const char *buffer, const char *format, ... ); 函数sscanf()和

hdu 2602 and poj 3624(01背包)

01背包的模板题。 hdu2602代码: #include<stdio.h>#include<string.h>const int MaxN = 1001;int max(int a, int b){return a > b ? a : b;}int w[MaxN];int v[MaxN];int dp[MaxN];int main(){int T;int N, V;s

hdu 1754 I Hate It(线段树,单点更新,区间最值)

题意是求一个线段中的最大数。 线段树的模板题,试用了一下交大的模板。效率有点略低。 代码: #include <stdio.h>#include <string.h>#define TREE_SIZE (1 << (20))//const int TREE_SIZE = 200000 + 10;int max(int a, int b){return a > b ? a :