def mergeSort(arr): import math if(len(arr)<2): return arr middle = math.floor(len(arr)/2) left, right = arr[0:middle], arr[middle:] return merge(mergeSort(left), mergeSort(right))
def merge(left,right): result = [] while left and right: if left[0] <= right[0]: result.append(left.pop(0)); else: result.append(right.pop(0)); while left: result.append(left.pop(0)); while right: result.append(right.pop(0)); return result
def quickSort(arr, left=None, right=None): left = 0 if not isinstance(left,(int, float)) else left right = len(arr)-1 if not isinstance(right,(int, float)) else right if left < right: partitionIndex = partition(arr, left, right) quickSort(arr, left, partitionIndex-1) quickSort(arr, partitionIndex+1, right) return arr
def partition(arr, left, right): pivot = left index = pivot + 1 i = index while i <= right: if arr[i] < arr[pivot]: swap(arr, i, index) index += 1 i += 1 swap(arr,pivot,index - 1) return index - 1
def swap(arr, i, j): arr[i], arr[j] = arr[j], arr[i]
def buildMaxHeap(arr): import math for i in range(math.floor(len(arr)/2),-1,-1): heapify(arr,i)
def heapify(arr, i): left = 2*i+1 right = 2*i+2 largest = i if left < arrLen and arr[left] > arr[largest]: largest = left if right < arrLen and arr[right] > arr[largest]: largest = right
if largest != i: swap(arr, i, largest) heapify(arr, largest)
def swap(arr, i, j): arr[i], arr[j] = arr[j], arr[i]
def heapSort(arr): global arrLen arrLen = len(arr) buildMaxHeap(arr) for i in range(len(arr)-1,0,-1): swap(arr,0,i) arrLen -=1 heapify(arr, 0) return arr