st表
链接:https://www.luogu.com.cn/problem/P3865
倍增思想
st[i][j] 表示 \([i,i+2^j-1]\) 内的最大/最小值
倍增更新
\[st[i][j] = max\{st[i][j-1],st[i+2^j][j-1]\}
\]
查询的时候找到左右端点,找到两段区间将[l,r]覆盖
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<iostream>
#include<cmath>
#include<stack>
#include<queue>
using namespace std;
typedef long long ll;
const int maxn = 200010;
int n,m;
ll a[maxn],sta[maxn][22],sti[maxn][22];
ll qry(int l,int r){
int k = 0;
while((1<<(k+1))<=(r-l+1)) ++k;
return max(sta[l][k],sta[r-(1<<k)+1][k]);
}
ll read(){ ll s=0,f=1; char ch=getchar(); while(ch<'0' || ch>'9'){ if(ch=='-') f=-1; ch=getchar(); } while(ch>='0' && ch<='9'){ s=s*10+ch-'0'; ch=getchar(); } return s*f; }
int main(){
n = read(),m = read();
for(int i=1;i<=n;++i) a[i] = read(), sta[i][0] = sti[i][0] = a[i];
for(int j=1;(1<<j)<=n;++j){
for(int i=1;i<=n;++i) {
sta[i][j] = max(sta[i][j-1], sta[i+(1<<j-1)][j-1]);
sti[i][j] = min(sti[i][j-1], sta[i+(1<<j-1)][j-1]);
}
}
for(int i=1;i<=m;++i){
int l,r;
l = read(), r = read();
printf("%lld\n",qry(l,r));
}
return 0;
}