#include<iostream>
#include<stdlib.h>
#include<math.h>
using namespace std;
int threshold;

/* 请在这里补充你的代码，即你所实现的sort函数 */

#define swap(type, a, b) do {type tmp = a; a = b; b = tmp;} while(0)

int partition(int* arr, int l, int r) {
    int pivot = arr[l];
    int i = l + 1, j = r;
    while (i <= j) {
        while (i <= r && arr[i] <= pivot) i++;
        while (arr[j] > pivot) j--;
        if (i < j) {
            swap(int, arr[i], arr[j]);
            i++; j--;
        }
    }
    swap(int, arr[l], arr[j]);
    return j; 
}

void sift_down(int* arr, int l, int len, int root) {
    while (root * 2 <= len) {
        int child = root * 2;
        if (child + 1 <= len && arr[l + child] > arr[l + child - 1]) {
            child++;
        }
        if (arr[l + child - 1] > arr[l + root - 1]) {
            swap(int, arr[l + root - 1], arr[l + child - 1]);
            root = child;
        } else {
            break;
        }
    }
}

void heap_sort(int* arr, int l, int r) {
    int len = r - l + 1;
    for (int i = len / 2; i >= 1; i--) {
        sift_down(arr, l, len, i);
    }
    printf("Heap:");
    for (int i = 0; i < len; i++) {
        printf("%d ", arr[l + i]);
    }
    printf("\n");
    for (int i = len; i > 1; i--) {
        swap(int, arr[l], arr[l + i - 1]);
        sift_down(arr, l, i - 1, 1);
    }
}

void sort_bi(int* arr, int l, int r, int limit) {
    if (l >= r) return;
    
    if (r - l + 1 <= threshold) {
        return;
    }
    
    if (limit == 0) {
        heap_sort(arr, l, r);
        return;
    }
    
    int p = partition(arr, l, r);
    sort_bi(arr, l, p - 1, limit - 1);
    sort_bi(arr, p + 1, r, limit - 1);
}

void insertion_sort(int* arr, int n) {
    for (int i = 2; i <= n; i++) {
        int key = arr[i];
        int j = i - 1;
        while (j >= 1 && arr[j] > key) {
            arr[j + 1] = arr[j];
            j--;
        }
        arr[j + 1] = key;
    }
}

void sort(int *R, int n) {
    int depth_limit = floor(2 * log2(n));
    printf("depth_limit:%d\n", depth_limit);
    
    sort_bi(R, 1, n, depth_limit);
    
    printf("Intermediate:");
    for (int i = 1; i <= n; i++) {
        printf("%d ", R[i]);
    }
    printf("\n");
    
    insertion_sort(R, n);
}



int main()
{
    int n,i;
    int a[50010];
    scanf("%d %d", &n, &threshold);
    for (i = 1; i <= n; i++)
        scanf("%d", &a[i]);
    
    sort(a,n);
    
    printf("Final:");
    for (i = 1; i <= n; i++)
        printf("%d ",a[i]);
    printf("\n");
    return 0;
}