Cod sursa(job #3358932)

Utilizator indianu_talpa_iuteTisca Catalin indianu_talpa_iute Data 22 iunie 2026 09:51:55
Problema Arbori de intervale Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.51 kb
// https://www.infoarena.ro/problema/arbint

// arbore de intervale pe maxim, update punctual, indexat de la 1

#include <fstream>
#include <algorithm>

using namespace std;

ifstream fin("arbint.in");
ofstream fout("arbint.out");

const int MAXN = 100001;

int a[MAXN];
int t[4 * MAXN];

void build(int node, int l, int r) {
    if (l == r) { t[node] = a[l]; return; }
    int mid = (l + r) / 2;
    build(2 * node, l, mid);
    build(2 * node + 1, mid + 1, r);
    t[node] = max(t[2 * node], t[2 * node + 1]);
}

void update(int node, int l, int r, int pos, int val) {
    if (l == r) { t[node] = val; return; }
    int mid = (l + r) / 2;
    if (pos <= mid) update(2 * node, l, mid, pos, val);
    else update(2 * node + 1, mid + 1, r, pos, val);
    t[node] = max(t[2 * node], t[2 * node + 1]);
}

int query(int node, int l, int r, int ql, int qr) {
    if (ql <= l && r <= qr) return t[node];
    int mid = (l + r) / 2;
    int res = 0;   // valorile sunt >= 0
    if (ql <= mid) res = max(res, query(2 * node, l, mid, ql, qr));
    if (qr > mid) res = max(res, query(2 * node + 1, mid + 1, r, ql, qr));
    return res;
}

int main() {
    int n, m;
    fin >> n >> m;
    for (int i = 1; i <= n; i++)
        fin >> a[i];
    build(1, 1, n);

    for (int k = 0; k < m; k++) {
        int op, x, y;
        fin >> op >> x >> y;
        if (op == 0)
            fout << query(1, 1, n, x, y) << '\n';   // 0 a b: maximul pe [a, b]
        else
            update(1, 1, n, x, y);                   // 1 a b: a[a] = b
    }
    return 0;
}