Min Sparse Table

This commit is contained in:
2024-04-11 10:15:34 +05:30
parent bc8374182f
commit 73eb166aeb

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@@ -0,0 +1,49 @@
#include <bits/stdc++.h>
using namespace std;
//Sparse Table for minimum value query.
vector<vector<int>> table;
void precomputeSparseTable(int n, vector<int>& arr){
int lPower = log2(n);
table.resize(n+1,vector<int>(lPower+1));
for(int p = 0 ; p <= lPower ; p++ ){
for(int i = 0 ; i + pow(2,p) - 1 <= n ; i++ ){
if( p == 0 ){
table[i][p] = arr[i];
continue;
}
table[i][p] = min(table[i][p-1],table[i+pow(2,p-1)][p-1]);
}
}
// for(int i = 0 ; i <= n ; i++ ){
// cout << i << " : ";
// for(int p = 0 ; p <= lPower ; p++ ){
// cout << table[i][p] << " ";
// }
// cout << endl;
// }
}
int main(int argc,char* argv[]){
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int n,q;
cin>>n>>q;
vector<int> arr(n);
for(int i = 0 ; i < n ; i++ ){
cin>>arr[i];
}
precomputeSparseTable(n,arr);
}