[poj3264]rmq算法学习(ST表)

解题关键:rmq模板题,可以用st表,亦可用线段树等数据结构

log10和log2都可,这里用到了对数的换底公式

类似于区间dp,用到了倍增的思想

$F[i][j] = min (F[i][j - 1],F[i + 1 <  < (j - 1)][j - 1])$

 1 #include<cstdio>
 2 #include<cstring>
 3 #include<algorithm>
 4 #include<cstdlib>
 5 #include<cmath>
 6 #include<iostream>
 7 using namespace std;
 8 typedef long long ll;
 9 int a[50002];
10 int lg;
11 int min1[50002][22],max1[50002][22],n,q;
12 void rmq(int n){
13     for(int j=1;j<=lg;j++){
14         for(int i=1;i+(1<<j)-1<=n;i++){
15             max1[i][j]=max(max1[i][j-1],max1[i+(1<<(j-1))][j-1]);
16             min1[i][j]=min(min1[i][j-1],min1[i+(1<<(j-1))][j-1]);
17         }
18     }
19 }
20 int main(){
21     int n,q;
22     ios::sync_with_stdio(0);
23     cin.tie(0);
24     cout.tie(0);
25     cin>>n>>q;
26     lg=int(log10(n)/log10(2));
27     for(int i=1;i<=n;i++) cin>>a[i],min1[i][0]=max1[i][0]=a[i];
28     rmq(n);
29     while(q--){
30         int a,b;
31         cin>>a>>b;
32         if(a>b) swap(a,b);
33         int k=(int)(log10(b-a+1)/log10(2.0));
34         int maxres=max(max1[a][k],max1[b-(1<<k)+1][k]);
35         int minres=min(min1[a][k],min1[b-(1<<k)+1][k]);
36         cout<<maxres-minres<<"
";
37     }
38 }
原文地址:https://www.cnblogs.com/elpsycongroo/p/7339447.html