Cod sursa(job #1139961)

Utilizator CosminRusuCosmin Rusu CosminRusu Data 11 martie 2014 17:22:13
Problema Componente biconexe Scor 0
Compilator cpp Status done
Runda Arhiva educationala Marime 2.17 kb
#include <fstream>
#include <iostream>
#include <vector>
#include <bitset>
#include <string.h>
#include <algorithm>
#include <iomanip>
#include <math.h>
#include <time.h>
#include <stdlib.h>
#include <set>
#include <map>
#include <string>
#include <queue>
#include <deque>

using namespace std;

const char infile[] = "rmq.in";
const char outfile[] = "rmq.out";

ifstream fin(infile);
ofstream fout(outfile);

const int MAXN = 100005;
const int MAXLG = 21;
const int oo = 0x3f3f3f3f;

typedef vector<int> Graph[MAXN];
typedef vector<int> :: iterator It;

const inline int min(const int &a, const int &b) { if( a > b ) return b;   return a; }
const inline int max(const int &a, const int &b) { if( a < b ) return b;   return a; }
const inline void Get_min(int &a, const int b)    { if( a > b ) a = b; }
const inline void Get_max(int &a, const int b)    { if( a < b ) a = b; }

/** \RMQ
 *
 *   RMQ[i][j] = min( A[j], A[j + 1], A[j + 2] ... A[j + (2 ^ i) - 1] )
 *   =>  RMQ[i][j] = min( RMQ[i - 1][j], RMQ[i - 1][j - 2 ^ (i - 1)]
 *                        (j, j+1...j+2^(i - 1) - 1) (j - 2 ^ (i - 1) ... j )
 *
 */


int N, M, RMQ[MAXLG][MAXN], Log[MAXN];
int A[MAXN];

inline void buildLOG() {
    for(int i = 2 ; i <= N ; ++ i)
        Log[i] = Log[i >> 1] + 1;
}

inline void buildRMQ() {
    for(int i = 1 ; i <= N ; ++ i)
        RMQ[0][i] = i;
    for(int i = 1 ; (1 << i) <= N ; ++ i) {
        for(int j = 1 ; j + (1 << i) - 1 <= N ; ++ j) {
            int l = (1 << (i - 1));
            RMQ[i][j] = RMQ[i - 1][j];
            if(A[RMQ[i][j]] > A[RMQ[i - 1][j + l]])
                RMQ[i][j] = RMQ[i - 1][j + l];
        }
    }
}

inline int Query(int x, int y) {
    int lg = Log[y - x + 1];
    int Ans = RMQ[lg][x];
    if(A[Ans] > A[RMQ[lg][y - (1 << lg) + 1]])
        Ans = RMQ[lg][y - (1 << lg) + 1];
    return A[Ans];
}

int main() {
    fin >> N >> M;
    for(int i = 1 ; i <= N ; ++ i)
        fin >> A[i];
    buildLOG();
    buildRMQ();
    for(int i = 1 ; i <= M ; ++ i) {
        int x, y;
        fin >> x >> y;
        fout << Query(x, y) << '\n';
    }
    fin.close();
    fout.close();
    return 0;
}