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  • 【十二省2019】字符串问题

    题面

    https://www.luogu.org/problem/P5284

    题解

    #include<cstdio>
    #include<iostream>
    #include<cstring>
    #include<vector>
    #include<algorithm>
    #define ri register int
    #define N 200050
    using namespace std;
    int ff[N<<1],ch[N<<1][26],len[N<<1];
    int fa[N<<1][21],poi[N],p[N];
    int las,tot,cnt;
    int Na,Nb,m;
    char s[N];
    int lb[N<<1],rb[N<<1];
    int LLL[N];
    int msiz;
    vector<int> son[N<<1],to[N*5],ll[N*5];
    long long f[N*5];
    
    struct node {
      int l,id;
      bool operator < (const node &rhs) const {
        return l<rhs.l;
      }
    };
    vector<node> in[N<<1];
    node a[N];
    
    void extend(int c){
      int p=las,np=++tot; las=np;
      len[np]=len[p]+1; poi[len[np]]=np;
      while (p && ch[p][c]==0) ch[p][c]=np,p=ff[p];
      if (!p) ff[np]=1;
      else {
        int q=ch[p][c];
        if (len[q]==len[p]+1) ff[np]=q;
        else {
          int nq=++tot;
          for (ri i=0;i<26;i++) ch[nq][i]=ch[q][i]; ff[nq]=ff[q];
          len[nq]=len[p]+1;
          ff[np]=ff[q]=nq;
          while (p && ch[p][c]==q) ch[p][c]=nq,p=ff[p];
        }
      }
    }
    
    void init(int x) {
      fa[x][0]=ff[x];
      for (ri i=1;i<=20;i++) fa[x][i]=fa[fa[x][i-1]][i-1];
      for (ri i=0;i<son[x].size();i++) init(son[x][i]);
    }
    
    int find(int l,int r) {
      int x=poi[r];
      for (ri i=20;i>=0;i--) if (len[fa[x][i]]>=r-l+1) x=fa[x][i];
      return x;
    }
    
    void dfs(int x) {
      lb[x]=cnt+1;
      for (ri i=0;i<in[x].size();i++) a[++cnt]=in[x][i];
      for (ri i=0;i<son[x].size();i++) dfs(son[x][i]);
      rb[x]=cnt;
    }
    
    void maketree(int now,int l,int r){
      if(l==r) {
        p[a[l].id]=now;
        to[now].push_back(200050*5-1); ll[now].push_back(a[l].l);
        msiz=max(msiz,now);
        return;
      }
      int mid=(l+r)/2;
      to[now].push_back(now<<1); ll[now].push_back(0);
      to[now].push_back(now<<1|1); ll[now].push_back(0);
      maketree(now<<1,l,mid); maketree(now<<1|1,mid+1,r);
    }
    
    void link(int a,int now,int lb,int rb,int l,int r) {
      if (l>r) return;
      if (l<=lb && rb<=r) {
        to[a].push_back(now);
        ll[a].push_back(0);
        return;
      }
      if (l>rb || r<lb) return;
      int mid=(lb+rb)/2;
      link(a,now<<1,lb,mid,l,r); link(a,now<<1|1,mid+1,rb,l,r);
    }
    
    bool dp(int x) {
      if (f[x]==-1) return true;
      if (f[x]!=0) return false;
      f[x]=-1;
      long long rye=0;
      for (ri i=0;i<to[x].size();i++) {
        if (dp(to[x][i])) return true;
        if (f[to[x][i]]+ll[x][i]>rye) rye=f[to[x][i]]+ll[x][i];
      }
      f[x]=rye;
      return 0;
    }
    
    void solve(){
      int x,y;
      las=tot=1;
      scanf("%s",s+1);
      int L=strlen(s+1);
      for (ri i=L;i>=1;i--) extend(s[i]-'a');
      for (ri i=1;i<=tot;i++) son[ff[i]].push_back(i);
      init(1);
      scanf("%d",&Na);
      for (ri i=1;i<=Na;i++) {
        scanf("%d %d",&x,&y);
        x=L-x+1; y=L-y+1;
        LLL[i]=x-y+1;
        in[find(y,x)].push_back((node){x-y+1,i});
      }
      for (ri i=1;i<=tot;i++) sort(in[i].begin(),in[i].end());
      cnt=0;dfs(1);msiz=0;maketree(1,1,Na);
      scanf("%d",&Nb);
      for (ri i=1;i<=Nb;i++) {
        scanf("%d %d",&x,&y);
        x=L-x+1; y=L-y+1;
        int pr=find(y,x);
        //int cant=lower_bound(in[pr].begin(),in[pr].end(),(node){x-y+1,-1})-in[pr].begin();
        int L0=0,R0=in[pr].size()-1;
        int ret=-1;
        while (L0<=R0) {
          int mid=(L0+R0)/2;
          if (in[pr][mid].l<x-y+1) ret=mid,L0=mid+1; else R0=mid-1;
        }
        int cant=ret+1;
        link(i+msiz,1,1,Na,lb[pr]+cant,rb[pr]);
      }
      scanf("%d",&m);
      for (ri i=1;i<=m;i++) {
        scanf("%d %d",&x,&y);
        to[p[x]].push_back(y+msiz); ll[p[x]].push_back(LLL[x]);
      }
      long long ans=0;
      for (ri i=1;i<=msiz+Nb;i++) {
        if (!f[i] && dp(i)) {
          puts("-1");
          return;
        }
        if (f[i]>ans) ans=f[i];
      }
      printf("%lld
    ",ans);
    }
    
    int main() {
      int T;
      scanf("%d",&T);
      while (T--) {
        solve();
        for (ri i=1;i<=tot;i++) {
          for (ri j=0;j<26;j++) ch[i][j]=0;
          son[i].clear();
          in[i].clear();
        }
        for (ri i=1;i<=msiz+Nb;i++) to[i].clear(),ll[i].clear(),f[i]=0;
      }
      return 0;
    }
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  • 原文地址:https://www.cnblogs.com/shxnb666/p/11279351.html
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