#include <stdio.h>
#include <stdlib.h>
#include <math.h>

void read_input(int **list, int *size);
void flash_sort(int *list, int size);
void hulk_sort(int *list, int low, int high);
int select_pivot(int *list, int low, int high);
void write_output(int *list, int size);

int main() {
  int size;
  int *list;

  read_input(&list, &size);
  flash_sort(list, size);
  write_output(list, size);

  return 0;
}

void read_input(int **list, int *size) {
  FILE *input = fopen("algsort.in", "r");

  fscanf(input, "%d\n", size);

  *list = (int*) malloc(sizeof(int) * (*size));

  for (int index = 0; index < *size; index +=1) {
    fscanf(input, "%d", *list + index);
  }

  fclose(input);
}

void flash_sort(int *list, int size) {
  int pivot, pivot_position, sort_threshold, carry;
  int left, left_low, right, right_high;

  int *partition_low, *partition_high;
  int partition_size, partition_start, partition_end;

  partition_size  = 80000; //(int)  ceil(log2((float) size) * 3);
  partition_low   = (int*) malloc(sizeof(int) * (partition_size));
  partition_high  = (int*) malloc(sizeof(int) * (partition_size));

  sort_threshold = 6;

  left_low   = 0;
  right_high = size -1;

  partition_start = -1;
  partition_end   = 0;

  partition_low[partition_end]  = left_low;
  partition_high[partition_end] = right_high;

  // printf("List: ");
  // for (int index = 0; index < size; index +=1) {
  //   printf("%d ", list[index]);
  // }
  // printf("\n");

  while(partition_start < partition_end) {
    partition_start += 1;

    // printf("Start: %d End: %d\n", partition_start, partition_end);

    left_low   = partition_low[partition_start];
    right_high = partition_high[partition_start];

    if (right_high - left_low <= sort_threshold) {
      hulk_sort(list, left_low, right_high);

      // printf("Insertion: %d %d\n", left_low, right_high);
      //
      // printf("List: ");
      // for (int index = 0; index < size; index +=1) {
      //   printf("%d ", list[index]);
      // }
      // printf("\n");

      continue;
    }

    pivot_position = select_pivot(list, left_low, right_high);

    // printf("Position: %d Pivot: %d\n", pivot_position, list[pivot_position]);

    left  = left_low;
    right = right_high;

    pivot = list[pivot_position];

    // printf("Range: %d - %d\n", left, right);

    while (1) {
      while(list[left]  <= pivot && left  < pivot_position) left  += 1;
      while(list[right] >= pivot && right > pivot_position) right -= 1;

      // printf("Left: %d Right: %d Position: %d\n", left, right, pivot_position);
      //
      // printf("List Before: ");
      // for (int index = 0; index < size; index +=1) {
      //   printf("%d ", list[index]);
      // }
      // printf("\n");

      if (right - left <= 0) break;

      carry       = list[left];
      list[left]  = list[right];
      list[right] = carry;

      if (left  >= pivot_position) {
        pivot_position = right;
      } else if (right <= pivot_position) {
        pivot_position = left;
      }

      // printf("Pivot Position: %d\n", pivot_position);
      //
      // printf("List After:  ");
      // for (int index = 0; index < size; index +=1) {
      //   printf("%d ", list[index]);
      // }
      // printf("\n");
    }

    if (pivot_position > left_low + 1) {
      partition_end                 += 1;
      partition_high[partition_end] = pivot_position - 1;
      partition_low[partition_end]  = left_low;

      // printf("Added: %d %d\n", partition_high[partition_end], partition_low[partition_end]);
    }

    if (pivot_position < right_high - 1) {
      partition_end                 += 1;
      partition_high[partition_end] = right_high;
      partition_low[partition_end]  = pivot_position + 1;

      // printf("Added: %d %d\n", partition_high[partition_end], partition_low[partition_end]);
    }
  }
}

void hulk_sort(int *list, int low, int high) {
  int carry;

  for (int first = low; first < high; first += 1) {
    for (int second = first + 1; second <= high; second += 1) {
      if (list[first] > list[second]) {
        carry        = list[first];
        list[first]  = list[second];
        list[second] = carry;
      }
    }
  }
}

int select_pivot(int *list, int low, int high) {
  return (low + high) / 2;
}

void write_output(int *list, int size) {
  FILE *output = fopen("algsort.out", "w");

  int last = size - 1;

  for (int index = 0; index < size; index +=1) {
    if (index < last) {
      fprintf(output, "%d ", list[index]);
    } else {
      fprintf(output, "%d", list[index]);
    }
  }
  fprintf(output, "\n");

  fclose(output);
}