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#include <cstdlib>
#include <fstream>
#include <iostream>
#include <vector>
using namespace std;
class Sorter {
public:
Sorter(vector<int> V) : S(V) {}
int operator[](int i) { return S[i]; }
protected:
vector<int> S;
};
class QSorter : public Sorter {
public:
QSorter(vector<int> V) : Sorter(V), lower(V.size()), higher(V.size()) {
cerr << "Using quick sort" << endl;
srand(time(0));
qsort(0, V.size() - 1);
}
private:
vector<int> lower;
vector<int> higher;
void qsort(int a, int b) {
// cerr << "SORTING " << a << " " << b << endl;
if (a >= b) return;
// for (int i=a; i<=b; ++i) cerr << S[i] << " "; cerr << endl;
int pivot = rand() % (b-a+1) + a;
int X = S[pivot];
// cerr << "PIVOT " << pivot << " " << X << endl;
int equal = 0;
int l = 0, h = 0;
for (int i=a; i<=b; ++i) {
if (S[i] < X) {
lower[l ++] = S[i];
} else if (S[i] == X) {
equal ++;
} else {
higher[h ++] = S[i];
}
}
// cerr << "LEH " << l << " " << equal << " " << h << endl;
for (int i=0; i<l; ++i) S[a+i] = lower[i];
for (int i=0; i<equal; ++i) S[a+l+i] = X;
for (int i=0; i<h; ++i) S[a+l+equal+i] = higher[i];
// for (int i=a; i<=b; ++i) cerr << S[i] << " "; cerr << endl;
qsort(a, a+l-1);
qsort(a+l+equal, b);
}
};
class MSorter : public Sorter {
public:
MSorter(vector<int> V) : Sorter(V), tmp(V.size()) {
cerr << "Using merge sort" << endl;
msort(0, V.size() - 1);
};
private:
vector<int> tmp;
void msort(int a, int b) {
if (a >= b) return;
int m = (a+b) / 2;
msort(a, m);
msort(m+1, b);
int l=a, r=m+1, i;
for (i=0; l<=m && r <=b; ++i) {
if (S[l] < S[r]) tmp[i] = S[l++];
else tmp[i] = S[r++];
}
for (; l<=m; ++l, ++i) tmp[i] = S[l];
for (; r<=b; ++r, ++i) tmp[i] = S[r];
copy(tmp.begin(), tmp.begin() + b - a + 1, S.begin() + a);
}
};
int main() {
ifstream in("algsort.in");
ofstream out("algsort.out");
int N;
in >> N;
vector<int> V(N);
for (int i=0; i<N; ++i) {
in >> V[i];
}
Sorter* S = new MSorter(V);
for (int i=0; i<N; ++i) out << (*S)[i] << " ";
out << "\n";
delete S;
return 0;
}