Cod sursa(job #3365282)

Utilizator adimiclaus15Miclaus Adrian Stefan adimiclaus15 Data 17 septembrie 2026 19:44:34
Problema Arbori de intervale Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.5 kb
#include <bits/stdc++.h>
using namespace std;

const int NMAX = 1e5;
const int SQRT = 317;
int a[NMAX + 1];
int b[SQRT + 1];
int sz;

//O(sqrt(n))
void update(int pos, int val) {
    a[pos] = val; //actualizam valoarea
    int p = pos / sz; //vedem in ce block se afla
    if(pos % sz > 0) {
        p++;
    }
    b[p] = 0;
    //trecem prin toate elementele blocului si vedem daca se schimba maximul
    for(int i = (p - 1) * sz + 1; i <= p * sz; i++) {
        b[p] = max(b[p], a[i]);
    }
}

//O(sqrt(n))
int query(int x, int y) {
    int sol = 0;
    //parcurgem primul block incomplet
    while(x <= y && x % sz != 1) {
        sol = max(sol, a[x]);
        x++;
    }
    //parcurg block-urile complete
    while(x <= y && x + sz - 1 <= y) {
        int p = x / sz; //vedem in ce block se afla
        if(x % sz > 0) {
            p++;
        }
        sol = max(sol, b[p]);
        x += sz;
    }
    //parcurgem ultimul block incomplet
    while(x <= y) {
        sol = max(sol, a[x]);
        x++;
    }
    return sol;
}

int main() {
    ifstream cin("arbint.in");
    ofstream cout("arbint.out");
	int n, q;
    cin >> n >> q;
    sz = sqrt(n);
    for(int i = 1; i <= n; i++) {
        cin >> a[i];
        int p = i / sz;
        if(i % sz > 0) {
            p++;
        }
        b[p] = max(b[p], a[i]);
    }
    for(int i = 1; i <= q; i++) {
        int op, x, y;
        cin >> op >> x >> y;
        if(op == 0) {
            cout << query(x, y) << '\n';
        } else {
            update(x, y);
        }
    }

}