话说这道题纠结了两天半,,从周日就开始想的,,就这样一直纠结,纠结,,今天上午终于是ac了,,,,,,题目是让求最少需要增加几个字母,关键是求出字符串的循环节,用kMP算法求循环节,,设字符串长度为len,则循环节长度x=len-next[len-1],由这个公式即可算出来。题目:
Cyclic Nacklace
Time Limit: 2000/1000 MS (Java/Others)Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 465Accepted Submission(s): 212
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.
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 ).
#include <iostream>
#include <string.h>
#include <cstdio>
using namespace std;
char str[100010];
int nextt[100010],len;
int get_next(){
nextt[0]=0;
for(int i=1;i<len;++i){
int temp=nextt[i-1];
while(temp&&str[temp]!=str[i])
temp=nextt[temp-1];
if(str[temp]==str[i])
nextt[i]=temp+1;
else
nextt[i]=0;
}
int xunhuan=len-nextt[len-1];
if(len%xunhuan==0){
if(len/xunhuan==1)
return len;
else
return 0;
}
else{
int num=0;
while((len+num)%xunhuan){
num++;
}
return num;
}
}
int main(){
int kk;
scanf("%d",&kk);
while(kk--){
scanf("%s",str);
len=strlen(str);
int x=get_next();
printf("%d\n",x);
}
return 0;
}
解决循环节问题:最少增加字母数量
本文探讨了一个关于字符串循环节的问题,通过使用KMP算法求解最少需要增加多少个字母才能形成循环节。具体包括输入描述、输出要求、示例输入输出以及关键代码实现,帮助读者理解并解决此类问题。
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