Cod sursa(job #893692)

Utilizator sebii_cSebastian Claici sebii_c Data 26 februarie 2013 17:16:33
Problema Range minimum query Scor 80
Compilator cpp Status done
Runda Arhiva educationala Marime 1.23 kb
// O(sqrt(N)) for each query

#include <cstdio>
#include <cstring>

#include <algorithm>

using namespace std;

const int INF = 0x3f3f3f3f;
const int MAXN = 100001;
const int MAXSQ = 320;

int n;
int sqn;
int mins[MAXSQ];
int A[MAXN];

void preproc()
{
    for (int i = 1; sqn * i <= n; ++i) 
        for (int j = sqn * (i - 1) + 1; j <= sqn * i; ++j)
            mins[i] = min(mins[i], A[j]);
}

int query(int x, int y)
{
    int id = 1;
    while (sqn * id < x)
        ++id;
    ++id;
    int lstop = min(sqn * (id - 1), y);

    int res = INF;
    while (sqn * id <= y) {
        res = min(res, mins[id]);
        ++id;
    }
    int ustop = max(sqn * (id - 1), x);

    for (int i = x; i <= lstop; ++i)
        res = min(res, A[i]);
    for (int i = ustop; i <= y; ++i)
        res = min(res, A[i]);

    return res;
}

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

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

    while (sqn * sqn <= n)
        ++sqn;
    sqn--;

    memset(mins, 0x3f, sizeof(mins));
    preproc();

    for (int i = 0; i < m; ++i) {
        int x, y;
        scanf("%d %d", &x, &y);
        printf("%d\n", query(x, y));
    }

    return 0;
}