P3435 [POI2006]OKR-Periods of Words kmp + fail指针
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P3435 [POI2006]OKR-Periods of Words kmp + fail指针
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思路:
轉換一下題意,就是求一個最小公共前后綴,顯然可以暴跳nenene數組,復雜度O(n2)O(n^2)O(n2),注意到我們每次都跳的話會跳到很多重復的位置,假設當前跳到了xxx,我們每次跳完都將當前ne[i]=xne[i]=xne[i]=x,這樣就會減少很多不必要的跳,復雜度O(n)O(n)O(n)。
// Problem: P3435 [POI2006]OKR-Periods of Words // Contest: Luogu // URL: https://www.luogu.com.cn/problem/P3435 // Memory Limit: 128 MB // Time Limit: 1000 ms // // Powered by CP Editor (https://cpeditor.org)//#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math") //#pragma GCC target("sse,sse2,sse3,ssse3,sse4.1,sse4.2,avx,avx2,popcnt,tune=native") //#pragma GCC optimize(2) #include<cstdio> #include<iostream> #include<string> #include<cstring> #include<map> #include<cmath> #include<cctype> #include<vector> #include<set> #include<queue> #include<algorithm> #include<sstream> #include<ctime> #include<cstdlib> #include<random> #include<cassert> #define X first #define Y second #define L (u<<1) #define R (u<<1|1) #define pb push_back #define mk make_pair #define Mid ((tr[u].l+tr[u].r)>>1) #define Len(u) (tr[u].r-tr[u].l+1) #define random(a,b) ((a)+rand()%((b)-(a)+1)) #define db puts("---") using namespace std;//void rd_cre() { freopen("d://dp//data.txt","w",stdout); srand(time(NULL)); } //void rd_ac() { freopen("d://dp//data.txt","r",stdin); freopen("d://dp//AC.txt","w",stdout); } //void rd_wa() { freopen("d://dp//data.txt","r",stdin); freopen("d://dp//WA.txt","w",stdout); }typedef long long LL; typedef unsigned long long ULL; typedef pair<int,int> PII;const int N=1000010,mod=1e9+7,INF=0x3f3f3f3f; const double eps=1e-6;int n; char s[N]; int ne[N]; int ans[N];int main() { // ios::sync_with_stdio(false); // cin.tie(0);scanf("%d%s",&n,s+1);for(int i=2,j=0;i<=n;i++) {while(j&&s[i]!=s[j+1]) j=ne[j];if(s[i]==s[j+1]) j++;ne[i]=j;}LL res=0;for(int i=2;i<=n;i++) {int x=ne[i];while(ne[x]>0) x=ne[x];ne[i]=x;res+=(i-x)==i? 0:(i-x);}printf("%lld\n",res);return 0; } /**/總結
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