Files
cses/CSES - CSES Problem Set/Range_Queries/Dynamic_Range_Minimum_Queries.cpp

70 lines
1.4 KiB
C++

// Dynamic Range Minimum Queries
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
void update(int k, ll x, vector<ll> &tree, int n) {
k--;
k += n;
tree[k] = x;
k /= 2;
for (; k >= 1; k /= 2) {
tree[k] = min(tree[2*k], tree[2*k + 1]);
}
}
vector<ll> construct(vector<ll> &input) {
int n = input.size();
vector<ll> out(2*n);
for (int i{}; i < n; i++) {
out[i+n] = input[i];
}
for (int i = n - 1; i >= 1; i--) {
out[i] = min(out[2*i], out[2*i + 1]);
}
return out;
}
ll query(vector<ll> &tree, int a, int b, int n) {
a += n; b += n;
ll s = INT_MAX;
while (a <= b) {
if (a % 2 == 1) {
s = min(s, tree[a]);
a++;
}
if (b % 2 == 0) {
s = min(s, tree[b]);
b--;
}
a /= 2;
b /= 2;
}
return s;
}
int main() {
int n, q; cin >> n >> q;
vector<ll> in(n);
for (auto &e: in) cin >> e;
auto seg = construct(in);
for (int i{}; i < q; i++) {
cout << i << endl;
int t; cin >> t;
if (t == 1) {
int k;
ll u;
cin >> k >> u;
update(k, u, seg, n);
}
if (t == 2) {
int a, b; cin >> a >> b;
a--; b--;
cout << query(seg, a, b, n) << endl;
}
}
return 0;
}