# Codeforces 1073G Yet Another LCP Problem $SA$+单调栈

## 题意

$\sum_{i=1}^{k}\sum_{j=1}^{l}lcp(s[a_i…n],s[b_j…n])$

## Solution

$SA$练习题。

#include<bits/stdc++.h>
#define For(i,x,y) for (register int i=(x);i<=(y);i++)
#define Dow(i,x,y) for (register int i=(x);i>=(y);i--)
#define cross(i,k) for (register int i=first[k];i;i=last[i])
using namespace std;
typedef long long ll;
ll x=0;int ch=getchar(),f=1;
while (!isdigit(ch)&&(ch!='-')&&(ch!=EOF)) ch=getchar();
if (ch=='-'){f=-1;ch=getchar();}
while (isdigit(ch)){x=(x<<1)+(x<<3)+ch-'0';ch=getchar();}
return x*f;
}
const int N = 2e5+10;
int n,Q,l[N],k[N];
char s[N];
int SA[N],height[N],rk[N],cnt[N],x[N],y[N];
int Max=0;
For(i,1,n) cnt[x[i]]++,Max=max(Max,x[i]);
For(i,1,Max) cnt[i]+=cnt[i-1];
Dow(i,n,1) SA[cnt[x[y[i]]]--]=y[i];
For(i,1,Max) cnt[i]=0;
}
inline void GetSA(){
For(i,1,n) x[i]=s[i],y[i]=i;
for (int i=1,p;p<n;i<<=1){
p=0;
For(j,n-i+1,n) y[++p]=j;
For(j,1,n) if (SA[j]>i) y[++p]=SA[j]-i;
For(j,2,n) x[SA[j]]=(y[SA[j]]==y[SA[j-1]]&&y[SA[j]+i]==y[SA[j-1]+i])?p:++p;
}
For(i,1,n) rk[SA[i]]=i;
int now=0;
For(i,1,n){
if (rk[i]==1) continue;now=max(now-1,0);
for (int j=SA[rk[i]-1];j+now<=n&&i+now<=n&&s[j+now]==s[i+now];now++);
height[rk[i]]=now;
}
}
int Min[N][20],Log[N];
inline void init(){
For(i,1,n) Log[i]=log(i)/log(2);
For(i,1,n) Min[i][0]=height[i];
For(j,1,Log[n]) For(i,1,n-(1<<j)+1) Min[i][j]=min(Min[i][j-1],Min[i+(1<<j-1)][j-1]);
}
inline int Query(int l,int r){
int L=Log[r-l+1];
return min(Min[l][L],Min[r-(1<<L)+1][L]);
}
struct node{
int x,y;
}a[N<<1];
inline bool cmp(node a,node b){return a.x==b.x?a.y<b.y:a.x<b.x;}
int top,q[N<<1],c[N<<1];
ll Sum,ans;
inline void solve(int m,int M){
int cnt=0;
sort(a+1,a+1+cnt,cmp),ans=top=Sum=0;
a[cnt+1]=(node){-1,0};
int r=cnt;while (a[r].y==1) r--;
Dow(i,r,1){
if (i!=r){
int x=Query(a[i].x+1,a[i+1].x),s=a[i+1].y^1;
while (x<=q[top]&&top) Sum-=c[top]*q[top],s+=c[top--];
q[++top]=x,c[top]=s,Sum+=1ll*s*x;
}
if (a[i].y) ans+=Sum;
else if (a[i+1].x==a[i].x) ans+=n-SA[a[i].x]+1;
}
For(i,2,cnt) if (a[i].x==a[i-1].x) swap(a[i],a[i-1]);
top=Sum=0;
r=1;while (a[r].y==1) r++;
For(i,r,cnt){
if (i!=r){
int x=Query(a[i-1].x+1,a[i].x),s=a[i-1].y^1;
while (x<=q[top]&&top) Sum-=c[top]*q[top],s+=c[top--];
q[++top]=x,c[top]=s,Sum+=1ll*s*x;
}
if (a[i].y) ans+=Sum;
}
}
ll Ans[N];
int main(){