洛谷p1816忠诚

xiaoxiao2021-02-28  62

原题

区间查询最小值,数据1e5,nlogn算法,联想到RMQ算法,f[i][j]表示i点后2<<j位中最小值,dp枚举即可。

#include<iostream> #include<cstdio> #include<cstring> #include<cmath> #include<iomanip> #include<algorithm> #define in(x) scanf("%d",&x); using namespace std; int n,m,a[100007],f[100007][33]; int main() { in(n);in(m); for(int i=1;i<=n;++i) in(a[i]); for(int i=1;i<=n;++i) f[i][0]=a[i];int p=log(n*1.0)/log(2); for(int j=1;j<=p;++j) for(int i=1;i<=n;++i) { f[i][j]=f[i][j-1]; if(i+(1<<(j-1))<=n) { f[i][j]=min(f[i][j],f[i+(1<<(j-1))][j-1]); } } for(int i=1;i<=m;++i) { int x,y;in(x);in(y); int k=int((log(y-x+1)*1.0)/log(2)); cout<<min(f[x][k],f[y-(1<<k)+1][k])<<" "; } return 0; }

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