NOI2018 你的名字
这个lk菜爆了
线段树都能写错
luogu loj ### 68pts
让T
在S
的SAM
中匹配得到每个前缀最长在S
中出现的后缀,长度为f[i]
,然后对T
建SAM
,每加入一个T[i]
,trans(start,T[1:i])=t
,对答案的贡献就是min(maxlen(t)-maxlen(link(t)),maxlen(t)-f[i])=maxlen(t)-max(maxlen(link(t)),f[i])
。
### 100pts 每次S
只是原来S
的子串。
用可持久化线段树求出每个状态的endpos
集合。
设当前匹配上的串是W
。
每次W=W+c
的时候,只要W
不在S
中,就把W
第一个字符删掉。
设W
长度为len
,每次成功匹配len
最多+1
,最多匹配成功|T|
次,所以-1
也不超过|T|
次。时间复杂度就是O(|T|log|S|)
,其中log|S|
是查询的复杂度。
/*
Author: QAQ-Automaton
LANG: C++
PROG: name.cpp
Mail: cnyalilk@vip.qq.com
*/
#include<bits/stdc++.h>
#define debug(...) fprintf(stderr,__VA_ARGS__)
#define DEBUG printf("Passing [%s] in LINE %d\n",__FUNCTION__,__LINE__)
#define Debug debug("Passing [%s] in LINE %d\n",__FUNCTION__,__LINE__)
#define all(x) x.begin(),x.end()
#define x first
#define y second
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
#define inf 0x3f3f3f3f3f3f3f3f3f3f3f3f3f3f3f3f
const double eps=1e-8;
const double pi=acos(-1.0);
template<class T>int chkmin(T &a,T b){return a>b?a=b,1:0;}
template<class T>int chkmax(T &a,T b){return a<b?a=b,1:0;}
template<class T>T sqr(T a){return a*a;}
template<class T>T mmin(T a,T b){return a<b?a:b;}
template<class T>T mmax(T a,T b){return a>b?a:b;}
template<class T>T aabs(T a){return a<0?-a:a;}
template<class T>int dcmp(T a,T b){return a>b;}
template<int *a>int cmp_a(int x,int y){return a[x]<a[y];}
#define min mmin
#define max mmax
#define abs aabs
namespace io {
const int SIZE = (1 << 21) + 1;
char ibuf[SIZE], *iS, *iT, obuf[SIZE], *oS = obuf, *oT = oS + SIZE - 1, c, qu[55]; int f, qr;
// getchar
#define gc() (iS == iT ? (iT = (iS = ibuf) + fread (ibuf, 1, SIZE, stdin), (iS == iT ? EOF : *iS ++)) : *iS ++)
// print the remaining part
inline void flush () {
fwrite (obuf, 1, oS - obuf, stdout);
oS = obuf;
}
// putchar
inline void putc (char x) {
*oS ++ = x;
if (oS == oT) flush ();
}
// input a signed integer
inline bool read (signed &x) {
for (f = 1, c = gc(); c < '0' || c > '9'; c = gc()) if (c == '-') f = -1;else if(c==EOF)return 0;
for (x = 0; c <= '9' && c >= '0'; c = gc()) x = x * 10 + (c & 15); x *= f;
return 1;
}
inline bool read (long long &x) {
for (f = 1, c = gc(); c < '0' || c > '9'; c = gc()) if (c == '-') f = -1;else if(c==EOF)return 0;
for (x = 0; c <= '9' && c >= '0'; c = gc()) x = x * 10 + (c & 15); x *= f;
return 1;
}
inline bool read (char &x) {
x=gc();
return x!=EOF;
}
inline bool read(char *x){
while((*x=gc())=='\n' || *x==' '||*x=='\r')if(*x==EOF)return 0;
while(!(*x=='\n'||*x==' '||*x=='\r'))*(++x)=gc();
*x=0;
return 1;
}
template<typename A,typename ...B>
inline bool read(A &x,B &...y){
return read(x)&&read(y...);
}
// print a signed integer
inline bool write (signed x) {
if (!x) putc ('0'); if (x < 0) putc ('-'), x = -x;
while (x) qu[++ qr] = x % 10 + '0', x /= 10;
while (qr) putc (qu[qr --]);
return 0;
}
inline bool write (long long x) {
if (!x) putc ('0'); if (x < 0) putc ('-'), x = -x;
while (x) qu[++ qr] = x % 10 + '0', x /= 10;
while (qr) putc (qu[qr --]);
return 0;
}
inline bool write (char x) {
putc(x);
return 0;
}
inline bool write(const char *x){
while(*x){putc(*x);++x;}
return 0;
}
inline bool write(char *x){
while(*x){putc(*x);++x;}
return 0;
}
template<typename A,typename ...B>
inline bool write(A x,B ...y){
return write(x)||write(y...);
}
//no need to call flush at the end manually!
struct Flusher_ {~Flusher_(){flush();}}io_flusher_;
}
using io :: read;
using io :: putc;
using io :: write;
char s[500005],t[500005];
int rt[1000005],ls[20000005],rs[20000005],c,n;
void merge(int &x,int y){
if(!y)return;
if(!x){x=y;return;}
++c;
ls[c]=ls[x];rs[c]=rs[x];
x=c;
merge(ls[x],ls[y]);
merge(rs[x],rs[y]);
}
int insert(int x,int l=1,int r=n){
int cur=++c;
if(l==r)return cur;
int mid=(l+r)>>1;
if(x<=mid)ls[cur]=insert(x,l,mid);
else rs[cur]=insert(x,mid+1,r);
return cur;
}
int query(int x,int l,int r,int sl=1,int sr=n){
if(!x)return 0;
if(l<=sl && sr<=r)return 1;
int mid=(sl+sr)>>1;
if(l<=mid)if(query(ls[x],l,r,sl,mid))return 1;
if(mid<r)if(query(rs[x],l,r,mid+1,sr))return 1;
return 0;
}
namespace A{
int to[1000005][26],fail[1000005],len[1000005],now=1,t=1,l;
void extend(int x){
int nw=++t,i=now;
len[nw]=++l;
for(;i&&!to[i][x];i=fail[i])to[i][x]=nw;
if(!i)fail[nw]=1;
else if(len[i]+1==len[to[i][x]])fail[nw]=to[i][x];
else{
int o=to[i][x],n=++t;
len[n]=len[i]+1;
fail[n]=fail[o];
for(int j=0;j<26;++j)to[n][j]=to[o][j];
fail[o]=fail[nw]=n;
for(;i&&to[i][x]==o;i=fail[i])to[i][x]=n;
}
now=nw;
rt[nw]=insert(l);
}
int a[1000005],b[1000005];
void work(){
for(int i=1;i<=t;++i)++a[len[i]];
for(int i=1;i<=l;++i)a[i]+=a[i-1];
for(int i=t;i;--i){
b[a[len[i]]]=i;
--a[len[i]];
}
for(int i=t;i;--i)merge(rt[fail[b[i]]],rt[b[i]]);
}
}
namespace B{
int to[1000005][26],fail[1000005],len[1000005],now,t,l;
void init(){
now=t=1;l=0;
for(int i=0;i<26;++i)to[1][i]=0;
fail[1]=0;
}
int extend(int x,int mx){
int nw=++t,i=now;
fail[nw]=0;
for(int j=0;j<26;++j)to[nw][j]=0;
len[nw]=++l;
for(;i&&!to[i][x];i=fail[i])to[i][x]=nw;
if(!i)fail[nw]=1;
else if(len[i]+1==len[to[i][x]])fail[nw]=to[i][x];
else{
int o=to[i][x],n=++t;
len[n]=len[i]+1;
fail[n]=fail[o];
for(int j=0;j<26;++j)to[n][j]=to[o][j];
fail[o]=fail[nw]=n;
for(;i&&to[i][x]==o;i=fail[i])to[i][x]=n;
}
now=nw;
return len[nw]-max(len[fail[nw]],mx);
}
}
int main(){
freopen("name.in","r",stdin);
freopen("name.out","w",stdout);
read(s);
n=strlen(s);
for(char *i=s;*i;++i)A::extend(*i-'a');
A::work();
int q,l,r;
read(q);
for(;q;--q){
read(t);
read(l,r);
int at=1,len=0;
ll ans=0;
B::init();
for(char *i=t;*i;++i){
for(;at!=1 && !A::to[at][*i-'a'];at=A::fail[at]){
len=A::len[A::fail[at]];
}
if(A::to[at][*i-'a']){++len;at=A::to[at][*i-'a'];}
while(len&&!query(rt[at],l+len-1,r)){
--len;
if(A::len[A::fail[at]]==len)at=A::fail[at];
}
ans+=B::extend(*i-'a',len);
}
write(ans,'\n');
}
return 0;
}