Description
A string is said to be a palindrome if it reads the same both forwards and backwards, for example "madam" is a palindrome while "acm" is not.
The students recognized that this is a classical problem but couldn't come up with a solution better than iterating over all substrings and checking whether they are palindrome or not, obviously this algorithm is not efficient at all, after a while Andy raised his hand and said "Okay, I've a better algorithm" and before he starts to explain his idea he stopped for a moment and then said "Well, I've an even better algorithm!".
If you think you know Andy's final solution then prove it! Given a string of at most 1000000 characters find and print the length of the largest palindrome inside this string.
Input
Output
Sample Input
abcbabcbabcba
abacacbaaaab
END
Sample Output
Case 1: 13
Case 2: 6 题意:给一个字符串求这个串的最长回文子串的长度; 思路:用以下回文串的模板可以在线性时间内完成求最长的回文串的长度;
#include<iostream>
#include<algorithm>
#include<cstdio>
#include<cstring>
using namespace std;
const int N=;
int n,p[N];
char s[N],str[N]; void kp()
{
int i;
int mx=;
int id;
///for(i=n;str[i]!=0;i++)
///str[i]=0; ///没有这一句有问题,就过不了ural1297,比如数据:ababa aba;
for(i=;i<n;i++)
{
if(mx>i)
p[i]=min(p[*id-i],p[id]+id-i);
else
p[i]=;
for( ;str[i+p[i]]==str[i-p[i]];p[i]++);
if(p[i]+i>mx)
{
mx=p[i]+i;
id=i;
}
}
} void init()
{
str[]='$';
str[]='#';
for(int i=;i<n;i++)
{
str[i*+]=s[i];
str[i*+]='#';
}
n=n*+;
s[n]=;
} int main()
{
int Case=;
while(scanf("%s",s)!=EOF)
{
if(s[]=='E'&&s[]=='N'&&s[]=='D')
break;
n=strlen(s);
init();
kp();
int ans=;
for(int i=;i<n;i++)
if(p[i]>ans)
ans=p[i]; printf("Case %d: %d\n",Case++,ans-);
}
return ;
}