BZOJ3881 Coci2015Divljak(AC自动机+树上差分+树状数组)

时间:2020-12-09 03:43:48

  建出AC自动机及其fail树,每次给新加入的串在AC自动机上经过的点染色,问题即转化为子树颜色数。显然可以用dfs序转成序列问题树状数组套权值线段树解决,显然过不掉。事实上直接树上差分,按dfs序排序后lca处-1,树状数组维护子树和即可。

  又一次写了cmp后没放进sort,心态爆炸。

#include<iostream>
#include<cstdio>
#include<cmath>
#include<cstdlib>
#include<cstring>
#include<algorithm>
using namespace std;
#define ll long long
#define N 2000010
char getc(){char c=getchar();while ((c<'A'||c>'Z')&&(c<'a'||c>'z')&&(c<''||c>'')) c=getchar();return c;}
int gcd(int n,int m){return m==?n:gcd(m,n%m);}
int read()
{
int x=,f=;char c=getchar();
while (c<''||c>'') {if (c=='-') f=-;c=getchar();}
while (c>=''&&c<='') x=(x<<)+(x<<)+(c^),c=getchar();
return x*f;
}
int n,m,trie[N][],fail[N],val[N],id[N],q[N],tree[N],end[N],tmp[N],cnt;
char s[N];
void add(int k,int x){while (k<=cnt) tree[k]+=x,k+=k&-k;}
int query(int k){int s=;while (k) s+=tree[k],k-=k&-k;return s;}
namespace Tree
{
int p[N],t,dfn[N],size[N],fa[N][],deep[N],cnt;
struct data{int to,nxt;}edge[N];
void addedge(int x,int y){t++;edge[t].to=y,edge[t].nxt=p[x],p[x]=t;}
void dfs(int k)
{
dfn[k]=++cnt;size[k]=;
for (int i=p[k];i;i=edge[i].nxt)
{
deep[edge[i].to]=deep[k]+;
fa[edge[i].to][]=k;
dfs(edge[i].to);
size[k]+=size[edge[i].to];
}
}
void build()
{
cnt=;dfs();
for (int j=;j<;j++)
for (int i=;i<cnt;i++)
fa[i][j]=fa[fa[i][j-]][j-];
}
int lca(int x,int y)
{
if (deep[x]<deep[y]) swap(x,y);
for (int j=;~j;j--) if (deep[fa[x][j]]>=deep[y]) x=fa[x][j];
if (x==y) return x;
for (int j=;~j;j--) if (fa[x][j]!=fa[y][j]) x=fa[x][j],y=fa[y][j];
return fa[x][];
}
}
void ins(char *s,int n,int p)
{
int k=;
for (int i=;i<=n;i++)
{
if (!trie[k][s[i]-'a']) trie[k][s[i]-'a']=++cnt;
k=trie[k][s[i]-'a'];
}
end[p]=k;
}
void build()
{
int head=,tail=;for (int i=;i<;i++) if (trie[][i]) q[++tail]=trie[][i],Tree::addedge(,trie[][i]);
do
{
int x=q[++head];
for (int i=;i<;i++)
if (trie[x][i]) fail[trie[x][i]]=trie[fail[x]][i],Tree::addedge(fail[trie[x][i]],trie[x][i]),q[++tail]=trie[x][i];
else trie[x][i]=trie[fail[x]][i];
}while (head<tail);
Tree::build();
}
bool cmp(const int&a,const int&b)
{
return Tree::dfn[a]<Tree::dfn[b];
}
void run(char *a,int n)
{
int k=,cnt=;tmp[++cnt]=;
for (int i=;i<=n;i++) tmp[++cnt]=k=trie[k][a[i]-'a'];
sort(tmp+,tmp+cnt+,cmp);
for (int i=;i<=cnt;i++) add(Tree::dfn[tmp[i]],);
for (int i=;i<=cnt;i++) add(Tree::dfn[Tree::lca(tmp[i-],tmp[i])],-);
}
int main()
{
#ifndef ONLINE_JUDGE
freopen("bzoj3881.in","r",stdin);
freopen("bzoj3881.out","w",stdout);
const char LL[]="%I64d\n";
#else
const char LL[]="%lld\n";
#endif
m=read();
for (int i=;i<=m;i++)
{
scanf("%s",s+);n=strlen(s+);
ins(s,n,i);
}
build();cnt++;
m=read();
while (m--)
{
int op=read();
if (op==)
{
scanf("%s",s+);n=strlen(s+);
run(s,n);
}
else
{
int x=read();
printf("%d\n",query(Tree::dfn[end[x]]+Tree::size[end[x]]-)-query(Tree::dfn[end[x]]-));
}
}
return ;
}