【BZOJ3879】—SvT(后缀自动机+虚树后缀自动机+单调栈)

it2022-05-05  163

传送门

后缀数组终于跑过了 S a m Sam Sam

后缀自动机上虚树是显然的 后缀数组就按 r k rk rk排序后考虑每个位置的贡献,显然就是左右都比他大的时候 单调栈维护一下就是了


后缀数组+单调栈

#include<bits/stdc++.h> using namespace std; const int RLEN=1<<20|1; inline char gc(){ static char ibuf[RLEN],*ib,*ob; (ib==ob)&&(ob=(ib=ibuf)+fread(ibuf,1,RLEN,stdin)); return (ib==ob)?EOF:*ib++; } inline int read(){ char ch=gc(); int res=0,f=1; while(!isdigit(ch))f^=ch=='-',ch=gc(); while(isdigit(ch))res=(res+(res<<2)<<1)+(ch^48),ch=gc(); return f?res:-res; } inline void readstring(char *s){ int len=0;char c; while(isspace(c=gc())); while(s[len++]=c,!isspace(c=gc())&&c!=EOF); } #define pii pair<int,int> #define fi first #define se second #define re register #define pb push_back #define ll long long inline void file(){ #ifdef Stargazer freopen("lx.cpp","r",stdin); #endif } const int N=1000005; namespace Sa{ int rk[N],sa[N],sa2[N],cnt[N],n,m,s[N],ht[N]; inline void Sort(){ for(int i=1;i<=m;i++)cnt[i]=0; for(int i=1;i<=n;i++)cnt[rk[sa2[i]]]++; for(int i=1;i<=m;i++)cnt[i]+=cnt[i-1]; for(int i=n;i>=1;i--)sa[cnt[rk[sa2[i]]]--]=sa2[i]; } inline void build(){ m=30; for(int i=1;i<=n;i++)rk[i]=s[i],sa2[i]=i; Sort(); for(int i=1,pos=0;i<=n&&pos<n;i<<=1){ pos=0; for(int j=n-i+1;j<=n;j++)sa2[++pos]=j; for(int j=1;j<=n;j++)if(sa[j]>i)sa2[++pos]=sa[j]-i; Sort(); pos=1,swap(sa2,rk); rk[sa[1]]=1; for(int j=2;j<=n;j++) rk[sa[j]]=(sa2[sa[j]]==sa2[sa[j-1]])&&(sa2[sa[j]+i]==sa2[sa[j-1]+i])?pos:++pos; m=pos; } for(int i=1,j,k=0;i<=n;ht[rk[i++]]=k) for(k?k--:0,j=sa[rk[i]-1];s[i+k]==s[j+k];k++); } int st[21][N],lg[N]; inline void buildst(){ lg[0]=-1; for(int i=1;i<=n;i++)lg[i]=lg[i>>1]+1,st[0][i]=ht[i]; for(int i=1;(1<<i)<=n;i++) for(int j=1;j+(1<<i)-1<=n;j++) st[i][j]=min(st[i-1][j],st[i-1][j+(1<<(i-1))]); } inline int lcp(int x,int y){ x=rk[x],y=rk[y]; if(x>y)swap(x,y);x++; int t=lg[y-x+1]; return min(st[t][x],st[t][y-(1<<t)+1]); } } inline bool comp(int a,int b){ return Sa::rk[a]<Sa::rk[b]; } inline void calc(){ static int a[N],val[N],stk[N],l[N],r[N],top; int n=read(),res=0; for(int i=1;i<=n;i++)a[i]=read(); sort(a+1,a+n+1,comp),n=unique(a+1,a+n+1)-a-1; for(int i=1;i<n;i++)val[i]=Sa::lcp(a[i],a[i+1]); for(int i=1;i<n;i++){ while(top&&val[stk[top]]>=val[i])r[stk[top--]]=i; stk[++top]=i; } while(top)r[stk[top--]]=n; for(int i=n-1;i;i--){ while(top&&val[stk[top]]>val[i])l[stk[top--]]=i; stk[++top]=i; } while(top)l[stk[top--]]=0; for(int i=1;i<n;i++) res+=1ll*val[i]*(i-l[i])*(r[i]-i); cout<<res<<'\n'; } int n,m; char s[N]; int main(){ file(); n=read(),m=read(); readstring(s+1); Sa::n=strlen(s+1); for(int i=1;i<=Sa::n;i++)Sa::s[i]=s[i]-'a'+1; Sa::build(),Sa::buildst(); for(int i=1;i<=m;i++) calc(); }

后缀自动机+虚树

#include<bits/stdc++.h> using namespace std; const int RLEN=1<<20|1; inline char gc(){ static char ibuf[RLEN],*ib,*ob; (ib==ob)&&(ob=(ib=ibuf)+fread(ibuf,1,RLEN,stdin)); return (ib==ob)?EOF:*ib++; } inline int read(){ char ch=gc(); int res=0,f=1; while(!isdigit(ch))f^=ch=='-',ch=gc(); while(isdigit(ch))res=(res+(res<<2)<<1)+(ch^48),ch=gc(); return f?res:-res; } inline void readstring(char *s){ int len=0;char c; while(isspace(c=gc())); while(s[len++]=c,!isspace(c=gc())&&c!=EOF); } #define pii pair<int,int> #define fi first #define se second #define re register #define pb push_back #define ll long long inline void file(){ #ifdef Stargazer freopen("lx.cpp","r",stdin); #endif } const int N=1000005; namespace Sam{ int nxt[N][26],fa[N],len[N],tot,last; inline void insert(int c){ int cur=++tot,p=last;last=cur; len[cur]=len[p]+1; for(;p&&!nxt[p][c];p=fa[p])nxt[p][c]=cur; if(!p)fa[cur]=1; else { int q=nxt[p][c]; if(len[p]+1==len[q])fa[cur]=q; else{ int clo=++tot; memcpy(nxt[clo],nxt[q],sizeof(nxt[q])); fa[clo]=fa[q],len[clo]=len[p]+1; fa[q]=fa[cur]=clo; for(;p&&nxt[p][c]==q;p=fa[p])nxt[p][c]=clo; } } } } namespace G{ vector<int> e[N]; int tot,in[N],out[N],dep[N],top[N],fa[N],siz[N],son[N],pos[N]; int a[N],vis[N],ok[N],stk[N],tp,T; ll ans; inline void addedge(int u,int v){ e[u].pb(v); } inline bool comp(int a,int b){ return in[a]<in[b]; } void dfs1(int u){ siz[u]=1; for(int &v:e[u]){ if(v==fa[u])continue; fa[v]=u,dep[v]=dep[u]+1; dfs1(v),siz[u]+=siz[v]; if(siz[v]>siz[son[u]])son[u]=v; siz[v]=0; } } void dfs2(int u,int tp){ in[u]=++tot,top[u]=tp; if(son[u])dfs2(son[u],tp); for(int &v:e[u]){ if(v==son[u]||v==fa[u])continue; dfs2(v,v); } out[u]=tot; e[u].clear(); } inline int Lca(int u,int v){ while(top[u]!=top[v]){ if(dep[top[u]]<dep[top[v]])swap(u,v); u=fa[top[u]]; } return dep[u]<dep[v]?u:v; } void calc(int u){ siz[u]=ok[u],ok[u]=0; for(int &v:e[u]){ calc(v); ans+=1ll*siz[u]*siz[v]*Sam::len[u]; siz[u]+=siz[v]; } e[u].clear(); } inline void solve(){ int m=read(),n=0;T++;ans=0; memset(siz,0,sizeof(siz)); for(int i=1;i<=m;i++){ int p=read(); if(vis[p]==T)continue; vis[p]=T,a[++n]=pos[p],ok[pos[p]]=1; } sort(a+1,a+n+1,comp); stk[tp=1]=1; for(int i=1;i<=n;i++){ int lca=Lca(stk[tp],a[i]); while(in[lca]<in[stk[tp]]){ if(in[lca]>=in[stk[tp-1]]){ addedge(lca,stk[tp--]); if(stk[tp]!=lca)stk[++tp]=lca; break; } addedge(stk[tp-1],stk[tp]),tp--; } stk[++tp]=a[i]; } while(tp>1)addedge(stk[tp-1],stk[tp]),tp--; calc(1);cout<<ans<<'\n'; } } int n,m; char s[N]; int main(){ file(); n=read(),m=read(); readstring(s+1); Sam::last=Sam::tot=1; for(int i=strlen(s+1);i;i--)Sam::insert(s[i]-'a'),G::pos[i]=Sam::last; for(int i=2;i<=Sam::tot;i++)G::addedge(Sam::fa[i],i); G::dfs1(1),G::dfs2(1,1); for(int i=1;i<=m;i++) G::solve(); }

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