Pagini recente » Cod sursa (job #1135006) | Cod sursa (job #2180307) | Cod sursa (job #1210231) | Cod sursa (job #2582798) | Cod sursa (job #1529744)
/// RMQ (range minimum query)
/*
** rmq[2][2] = min(rmq[1][2], rmq[1][4]) (min pe bucati/jumatati)
** rmq[i][j] = min[j, j + 2 ^ i - 1] = min(rmq[i - 1][j], rmq[i -1][j + 1 << (i - 1)]);
** rmq[0][i] = a[i]
**
** In problema,pe intervalele date : [x, y], L = x - y + 1 ; 2 ^ i <= L, rmq[i][y - 1 << i + 1]
*/
/// arbori de intervale (Segment tree)
#include <iostream>
#include <fstream>
using namespace std;
ifstream f("rmq.in");
ofstream g("rmq.out");
/// log2 N : for (int i = 1; (1 << i) <= N; i++)
int rmq[1000][1000], v[1000000], log[100000];
int n, m;
/// log[X] - log2 X
void make_log(void)
{
log[1] = 0;
for (int i = 2; i <= n; i++)
log[i] = log[i / 2] + 1;
}
int ft_min(int a, int b)
{
return a <= b ? a : b;
}
int query(int x, int y)
{
int i;
i = log[y - x + 1];
return (ft_min(rmq[i][x], rmq[i][y - (1 << i) + 1]));
}
void rezolvare(void)
{
int x;
int y;
f >> n >> m;
for (int i = 1; i <= n; i++)
{
f >> v[i];
rmq[0][i] = v[i];
}
for (int i = 1; (1 << i) <= n; i++)
{
for (int j = 1; j + (1 << i) - 1 <= n; j++)
rmq[i][j] = ft_min(rmq[i - 1][j], rmq[i - 1][j + (1 << i) - 1]);
}
make_log();
for (int i = 1; i <= m; i++)
{
f >> x >> y;
g << query(x, y) << '\n';
}
}
int main()
{
rezolvare();
return 0;
}