[BZOJ 1511]Periods of Words
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很妙的一道题啊。
这个题可以先求一遍KMP的失配函数，然后对于每个失配函数沿着失配边往前一直走（不能走到0）。然后对于每个前缀[tex]i[/tex]，答案就是[tex]i-f[i][/tex]（要求[tex]f[i][/tex]不为0，反之无解）。
为什么这样可以呢？
首先建议大家看一下Matrix67关于KMP的解释。对于一个前缀，如果整个弄上去肯定不行。所以说需要前面和后面重叠一个字串，这个子串是不考虑的。当然，我们希望在这个被删除的子串最短辣。
代码：
/**************************************************************
Problem: 1511
User: danihao123
Language: C++
Result: Accepted
Time:148 ms
Memory:5704 kb
****************************************************************/
#include <cstdio>
const int maxn=1000005;
char buf[maxn];
int f[maxn];
int main(){
register int i,j;
register long long ans=0;
int n;
scanf("%d%s",&n,buf);
f[0]=f[1]=0;
for(i=1;i<n;i++){
j=f[i];
while(j && buf[i]!=buf[j])
j=f[j];
f[i+1]=(buf[i]==buf[j]?j+1:0);
}
for(i=2;i<=n;i++){
if(f[i]){
while(f[f[i]]){
f[i]=f[f[i]];
}
}
}
for(i=1;i<=n;i++){
if(f[i]){
ans+=i-f[i];
}
}
printf("%lld\n",ans);
return 0;
}
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