bdfz_2024_summer/day5/RMQ/st.cpp
2024-08-07 15:46:28 +08:00

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#include<bits/stdc++.h>
using namespace std;
#define PRINT_VALUE(v){cout<<#v<<" :"<<v<<endl;}
struct SparseTable{
private:
vector<vector<int>> st;
vector<int> log;
int n;
public:
SparseTable(const vector<int> &arr){
n=arr.size();
int K=log2(n)+1;
st.assign(n,vector<int>(K));
log.assign(n+1,0);
log[1]=0;
for(int i=2;i<=n;i++){
log[i]=log[i/2]+1;
}
for(int i=0;i<n;i++){
st[i][0]=arr[i];
}
for(int j=1;j<=K;j++){
for(int i=0;(i+(1<<j))<=n;i++){
st[i][j]=min(st[i][j-1],st[i+(1<<(j-1))][j-1]);
}
}
}
int query(int l,int r){
int j=this->log[r-l+1];
return min(this->st[l][j],this->st[r-(1<<j)+1][j]);
//因为log[i]向下取整所以此时r>=(1<<j)求右边的区间就是st[]
}
};
int main(){
vector<int> v={1, 3, 5, 7, 9, 11};
SparseTable st_min(v);
// PRINT_VALUE(st_min.query(1,2));
PRINT_VALUE(st_min.query(1, 4));
}