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#define IA_PROB "algsort"
#include <cassert>
#include <cstdio>
#include <cstring>
#include <iostream>
#include <fstream>
#include <string>
#include <vector>
#include <set>
#include <map>
#include <queue>
#include <stack>
#include <algorithm>
using namespace std;
void my_insertion_sort(int *v, int l, int r) {
for (int i = l; i < r; i++) {
int j, x = v[i];
for (j = i - 1; j >= l && v[j] > x; j--) {
v[j + 1] = v[j];
}
v[j + 1] = x;
}
}
int rand_int(int l, int r) {
assert(l < r);
return l + rand() % (r - l);
}
/** Partitions v as such: [ < )[ >= )
* This is so that we don't need to move/swap elements that are equal to the pivot
* @return the index of the common boundary (lt_hi == ge_lo) */
int partition(int *v, int l, int r, int pivot) {
int boundary = l;
for (int i = l; i < r; i++) {
if (v[i] < pivot) {
swap(v[i], v[boundary]);
boundary++;
}
}
return boundary;
}
void my_qsort_impl(int *v, int l, int r, int threshold) {
int n = r - l;
if (n <= 1) {
return;
} else if (n <= threshold) {
my_insertion_sort(v, l, r);
return;
}
swap(v[r - 1], v[rand_int(l, r)]); // select random pivot and bring it to the last position
int boundary = partition(v, l, r - 1, v[r - 1]); // partition
swap(v[r - 1], v[boundary]); // bring pivot to its final position
my_qsort_impl(v, l, boundary, threshold); // don't include the pivot (otherwise we'd risk entering an infinite loop)
my_qsort_impl(v, boundary + 1, r, threshold); // again, don't include the pivot
}
void my_qsort(int *v, int n) {
srand(time(0));
my_qsort_impl(v, 0, n, 10);
}
int main()
{
freopen(IA_PROB".in", "r", stdin);
freopen(IA_PROB".out", "w", stdout);
int n;
scanf("%d", &n);
assert(n > 0);
int *v = (int*)malloc(n * sizeof(int));
for (int i = 0; i < n; i++) {
scanf("%d", &v[i]);
}
my_qsort(v, n);
for (int i = 0; i < n; i++) {
printf("%d ", v[i]);
}
return 0;
}