Cod sursa(job #1087491)

Utilizator gabrielvGabriel Vanca gabrielv Data 19 ianuarie 2014 14:55:46
Problema Range minimum query Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.28 kb
#include <cstdio>
#include <cmath>

using namespace std;

#define NMAX 100005
#define LogNMAX 20
#define minim(a,b) ((a<b)?(a):(b))

int N,Q;
int A[NMAX],M[NMAX][LogNMAX];

void ContructRMQ()
{
    for(int i=1;i<=N;i++)
        M[i][0] = i;

    int i,j,minUntilNowPos,minOnSecondSegmentPos;

    for(j=1; (1<<j) <= N; j++)
        for(i=1;i + (1<<j) - 1 <=N;i++)
        {
            minUntilNowPos = M[i][j-1];
            minOnSecondSegmentPos = M[i + (1<<(j-1))][j-1];

            if(A[minUntilNowPos]<=A[minOnSecondSegmentPos])
                M[i][j] = minUntilNowPos;
            else
                M[i][j] = minOnSecondSegmentPos;
        }
}

int Query(int x, int y)
{
    int k = (int) log2(double(y-x+1));

    int minOnFirstSegmentPos,minOnSecondSegmentPos;

    minOnFirstSegmentPos = M[x][k];
    minOnSecondSegmentPos = M[y - (1<<k) + 1][k];

    return minim(A[minOnFirstSegmentPos],A[minOnSecondSegmentPos]);
}

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

    scanf("%d%d",&N,&Q);

    for(int i=1;i<=N;i++)
        scanf("%d",&A[i]);

    ContructRMQ();

    int x,y;

    for(int i=1;i<=Q;i++)
    {
        scanf("%d%d",&x,&y);
        printf("%d\n",Query(x,y));
    }

    return 0;
}