Cod sursa(job #3193126)

Utilizator PetraPetra Hedesiu Petra Data 14 ianuarie 2024 10:26:18
Problema Range minimum query Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.99 kb
#include <iostream>
#include <fstream>

#define NMAX 100002

using namespace std;

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

int n, m, v[NMAX], rmq[17][NMAX], log[NMAX]; // 17 > aprox. log2 NMAX
/// rmq[i][j] = valoarea elementului minim din intervalul care incepe in j si are lungimea 2^i

int main()
{
    fin >> n >> m;
    for (int i = 1; i <= n; i++)
        fin >> rmq[0][i];

    /// preprocesare
    for (int i = 1; (1<<i) <= n; i++) /// fiecare nivel din rmq
    {
        // (1<<i) <= n echivalent cu i <= log2 n
        for (int j = 1; j + (1<<(i-1)) <= n; j++)
        {
            rmq[i][j] = min(rmq[i-1][j], rmq[i-1][j+(1<<(i-1))]);
        }
    }

    log[1] = 0;
    for (int i = 2; i <= n; i++)
        log[i] = log[i/2] + 1;

    for (int i = 1; i <= m; i++)
    {
        int a, b, logAB;
        fin >> a >> b;

        logAB = log[b-a];
        fout << min(rmq[logAB][a], rmq[logAB][b - (1<<logAB) + 1]) << "\n";
    }

    return 0;
}