Cod sursa(job #3138667)

Utilizator YorKnEzAlex Mitreanu YorKnEz Data 21 iunie 2023 09:25:16
Problema Arbori de intervale Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.54 kb
// https://infoarena.ro/problema/arbint

#include <bits/stdc++.h>

using namespace std;

#define NMAX 100000

int v[NMAX + 1], tree[4 * NMAX + 1];

void build(int node, int left, int right) {
  if (left == right) {
    tree[node] = v[left];
    return;
  }

  int mid = left + (right - left) / 2;

  build(2 * node, left, mid);
  build(2 * node + 1, mid + 1, right);

  tree[node] = max(tree[2 * node], tree[2 * node + 1]);
}

void update(int node, int left, int right, int pos, int val) {
  if (left == right) {
    tree[node] = val;
    v[pos] = val;
    return;
  }

  int mid = left + (right - left) / 2;

  if (pos <= mid) {
    update(2 * node, left, mid, pos, val);
  } else {
    update(2 * node + 1, mid + 1, right, pos, val);
  }

  tree[node] = max(tree[2 * node], tree[2 * node + 1]);
}

int query(int node, int left, int right, int x, int y) {
  if (x <= left && right <= y) {
    return tree[node];
  }

  int mid = left + (right - left) / 2, ans = 0;

  if (x <= mid) {
    ans = max(ans, query(2 * node, left, mid, x, y));
  }

  if (mid < y) {
    ans = max(ans, query(2 * node + 1, mid + 1, right, x, y));
  }

  return ans;
}

int main() {
  freopen("arbint.in", "r", stdin);
  freopen("arbint.out", "w", stdout);

  int n, m;
  cin >> n >> m;

  for (int i = 1; i <= n; i++) {
    cin >> v[i];
  }

  build(1, 1, n);

  for (int i = 0; i < m; i++) {
    int q, a, b;
    cin >> q >> a >> b;

    if (q == 0) {
      cout << query(1, 1, n, a, b) << endl;
      cout.flush();
    } else if (q == 1) {
      update(1, 1, n, a, b);
    }
  }

  return 0;
}