Cod sursa(job #2329883)

Utilizator BotzkiBotzki Botzki Data 27 ianuarie 2019 17:10:12
Problema Range minimum query Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.05 kb
#include <fstream>

using namespace std;
ifstream fin("rmq.in");
ofstream fout("rmq.out");
const int NMAX=100000;
int rmq[25][NMAX+5];
//declar rmq[log N][N];
int p2[NMAX+5];
//pe linia i vom avea intervalele de la j la j+2^(i-1)
//relatia de recurenta rmq[i][j]=min(rmq[i-1][j], rmq[i-1][j+2^(i-1)])
int main()
{
    int n, k, i, j;
    fin>>n>>k;
    p2[1]=0;
    for(i=2;i<=n;i++)
        p2[i]=p2[i>>1]+1;
    //putrea de 2 maxima
    for(i=1;i<=n;i++)
           fin>>rmq[0][i];
    for(i=1;i<=p2[n];i++)
    {
        //(1<<i)- operatii pe biti si inseamna 1*(2^i)
       for(j=1;j<=n-(1<<i)+1;j++)
          rmq[i][j]=min(rmq[i-1][j], rmq[i-1][j+(1<<(i-1))]);
    }
    for(int t=1;t<=k;t++)
    {
        fin>>i>>j;
       int p=p2[j-i+1];
       //aflam acel k-cea mai mare putere a lui 2 mai mica sau egala cu diferenta
        //pt un queriy de i, j vom avea relatia
        //min(i, j)=min(rmq[k][i], rmq[k][j-2^k+1])
        //unde 2^k<=(j-i+1)
        fout<<min(rmq[p][i], rmq[p][j-(1<<p)+1])<<"\n";
    }

    return 0;
}