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

void swap(int *a, int *b) {
  int temp = *a;
  *a = *b;
  *b = temp;
}

void selection_sort(int arr[], int n) {
  for (int i = 0; i < n - 1; i++) {
    int mn = i;

    for (int j = i + 1; j < n; j++)
      if (arr[j] < arr[mn])
        mn = j;

    swap(&arr[i], &arr[mn]);
  }
}

void insertion_sort(int arr[], int n) {
  for (int i = 0; i < n; i++) {
    int j = i - 1, x = arr[i];
    while (j >= 0 && arr[j] > x) {
      arr[j + 1] = arr[j];
      j--;
    }

    arr[j + 1] = x;
  }
}

void bubble(int arr[], int n) {
  for (int i = 0; i < n - 1; i++) {
    int swapped = 0;

    for (int j = 0; j < n - i - 1; j++) {
      if (arr[j] > arr[j + 1]) {
        swap(&arr[j], &arr[j + 1]);
        swapped = 1;
      }
    }

    if (!swapped) {
      break;
    }
  }
}

void merge_sort_helper(int arr[], int b, int m, int e) {
  int i = 0, j = 0, k = b;
  int l1 = m - b + 1, l2 = e - m;

  int l[l1], r[l2];

  for (int x = 0; x < l1; x++)
    l[x] = arr[b + x];
  for (int x = 0; x < l2; x++)
    r[x] = arr[m + 1 + x];

  while (i < l1 && j < l2) {
    if (l[i] <= r[j])
      arr[k++] = l[i++];
    else
      arr[k++] = r[j++];
  }

  while (i < l1)
    arr[k++] = l[i++];
  while (j < l2)
    arr[k++] = r[j++];
}

void merge_sort(int arr[], int b, int e) {
  if (b >= e)
    return;

  int m = b + (e - b) / 2;

  merge_sort(arr, b, m);
  merge_sort(arr, m + 1, e);
  merge_sort_helper(arr, b, m, e);
}

int quick_sort_helper(int arr[], int b, int e) {
  int p = arr[e];
  int i = b - 1;

  for (int j = b; j < e; j++) {
    if (arr[j] < p) {
      i++;
      swap(&arr[i], &arr[j]);
    }
  }
  swap(&arr[i + 1], &arr[e]);

  return i + 1;
}

void quick_sort(int arr[], int b, int e) {
  if (b < e) {
    int p = quick_sort_helper(arr, b, e);

    quick_sort(arr, b, p - 1);
    quick_sort(arr, p + 1, e);
  }
}

void heap_sort_helper(int arr[], int n, int i) {
  int left = 2 * i + 1;
  int right = 2 * i + 2;
  int largest = i;
  if (left < n && arr[left] > arr[largest])
    largest = left;
  if (right < n && arr[right] > arr[largest])
    largest = right;
  if (largest != i) {
    swap(&arr[i], &arr[largest]);
    heap_sort_helper(arr, n, largest);
  }
}

void heap_sort(int arr[], int n) {
  for (int i = n / 2 - 1; i >= 0; i--)
    heap_sort_helper(arr, n, i);

  for (int i = n - 1; i >= 0; i--) {
    swap(&arr[0], &arr[i]);
    heap_sort_helper(arr, i, 0);
  }
}

void display(int arr[], int n) {
  int i;
  for (i = 0; i < n; i++)
    printf("%d ", arr[i]);
  printf("\n");
}

int main() {
  const int SIZE = 5;

  int arr1[] = {65, 65, 65, 1, 1};
  printf("Insertion Sort on: ");
  display(arr1, SIZE);
  insertion_sort(arr1, SIZE);
  display(arr1, SIZE);

  int arr2[] = {-4, 91, 300, 912, 8};
  printf("Selection Sort on: ");
  display(arr2, SIZE);
  selection_sort(arr2, SIZE);
  display(arr2, SIZE);

  int arr3[] = {11, -2, 0, 0, -3};
  printf("Merge Sort on: ");
  display(arr3, SIZE);
  merge_sort(arr3, 0, SIZE - 1);
  display(arr3, SIZE);

  int arr4[] = {99999, 9999, 999, 99, 9};
  printf("Quick Sort on: ");
  display(arr4, SIZE);
  quick_sort(arr4, 0, SIZE - 1);
  display(arr4, SIZE);

  int arr5[] = {-9, -99, -999, -9999, -99999};
  printf("Heap Sort on: ");
  display(arr5, SIZE);
  heap_sort(arr5, SIZE);
  display(arr5, SIZE);

  return 0;
}