Cod sursa(job #3235162)

Utilizator le_fisheAndrei Opran le_fishe Data 15 iunie 2024 18:59:59
Problema Range minimum query Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.25 kb
#include <iostream>
#include <fstream>

using namespace std;

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

const int NMAX = 1e5;
int a[NMAX + 1];
int rmq[NMAX + 1][20], LOG[NMAX + 1];

//query in O(1), functioneaza doar pentru functii idempotente
int query1(int x, int y) {
    int k = LOG[y - x + 1];
    return min(rmq[x][k], rmq[y - (1 << k) + 1][k]);
}

//query in O(log(n)), merge si pe functii neidempotente
int query2(int x, int y) {
    int diff = y - x + 1;
    int st = x;
    int sol = 1e9;
    for (int i = 0; (1 << i) <= diff; i++) {
        if ((1 << i) & diff) {
            sol = min(sol, rmq[st][i]);
            st += (1 << i);
        }
    }
    return sol;
}

int main() {
    int n, m;
    fin >> n >> m;
    for (int i = 1; i <= n; i++) {
        fin >> a[i];
    }
    for (int i = 2; i <= n; i++) {
        LOG[i] = LOG[i / 2] + 1;
    }
    for (int i = 1; i <= n; i++) {
        rmq[i][0] = a[i];
    }
    for (int j = 1; (1 << j) <= n; j++) {
        for (int i = 1; i + (1 << j) - 1 <= n; i++) {
            rmq[i][j] = min(rmq[i][j - 1], rmq[i + (1 << (j - 1))][j - 1]);
        }
    }
    int aux1, aux2;
    for (int i = 0; i < m; i++)
    {
        fin >> aux1 >> aux2;
        fout << query2(aux1, aux2) << endl;
    }
    
    return 0;
}