Isomorphic Inversion
题目描述
Let s be a given string of up to 106 digits. Find the maximal k for which it is possible to partition s into k consecutive contiguous substrings, such that the k parts form a palindrome.
More precisely, we say that strings s0, s1, . . . , sk−1 form a palindrome if si = sk−1−i for all 0 ≤ i < k.
In the first sample case, we can split the string 652526 into 4 parts as 6|52|52|6, and these parts together form a palindrome. It turns out that it is impossible to split this input into more than 4 parts while still making sure the parts form a palindrome.
输入
A nonempty string of up to 106 digits.
输出
Print the maximal value of k on a single line.
题意:
给出一个序列,问这个序列中回文序列的个数是多少
分析:有没有一种方法去实现判断当前的序列是不是回文串呢???
那就可以用哈希判断了,其实说到底就是判断当前的值是不是相等的
#include<iostream>
#include<cstdio>
#include<cstdlib>
#include<algorithm>
#include<string>
#include<cmath>
#include<cstring>
#include<set>
#include<queue>
#include<stack>
#include<map>
#define rep(i,a,b) for(int i=a;i<=b;i++)
typedef long long ll;
typedef unsigned long long ull;
using namespace std;
const int N=1e6+10;
const int INF=0x3f3f3f3f;
char str[N];
ull base=81;
ull ha[N];
int main()
{
#ifndef ONLINE_JUDGE
freopen("in.txt","r",stdin);
#endif // ONLINE_JUDGE
scanf("%s",str+1);
ha[0]=1;
int len=strlen(str+1);
for(int i=1;i<=len;i++) ha[i]=ha[i-1]*base;
int i=1,j=len;
// cout<<len<<endl;
int ans=0;
while(i<=j){
ull res1=(str[i]-'0'),res2=(str[j]-'0');
int t=j;
while(res1!=res2){
if(i+1>=j-1) break;
i++;
j--;
res1=res1*base+(str[i]-'0');
res2=(str[j]-'0')*ha[t-j]+res2;
}
if(res1!=res2){
ans++;
break;
}
if(i!=j)
ans+=2;
if(i==j) ans++;
i++;
j--;
}
printf("%d\n",ans);
return 0;
}