堆排序
def heap_sort(ary) :
n = len(ary)
first = int(n/2-1) #最后一個非葉子節(jié)點
for start in range(first,-1,-1) : #構(gòu)造大根堆：最后一個非葉子節(jié)點 -> 根節(jié)點
max_heapify(ary,start,n-1)
for end in range(n-1,0,-1): #堆排笙瑟，將大根堆轉(zhuǎn)換成有序數(shù)組
ary[end],ary[0] = ary[0],ary[end] #最大的交換到末尾，調(diào)整交換后的其余節(jié)點
max_heapify(ary,0,end-1)
return ary
#最大堆調(diào)整：將堆的末端子節(jié)點作調(diào)整，使得子節(jié)點永遠小于父節(jié)點
#start為當(dāng)前需要調(diào)整最大堆的位置，end為調(diào)整邊界
def max_heapify(ary,start,end):
root = start
while True :
child = root*2 +1 #調(diào)整節(jié)點的子節(jié)點
if child > end : break
if child+1 <= end and ary[child] < ary[child+1] :
child = child+1 #取較大的子節(jié)點
if ary[root] < ary[child] : #較大的子節(jié)點成為父節(jié)點
ary[root],ary[child] = ary[child],ary[root] #交換
root = child
else :
break
快速排序(simple)
# 快排
def quickSort(arr):
if len(arr)<=1:return arr
low,pi,high = partition(arr)
return quickSort(low)+[pi]+quickSort(high)
# 分區(qū)
def partition(arr):
pi , arr = arr[0],arr[1:]
low = [x for x in arr if x<=pi]
high = [x for x in arr if x>pi]
return low,pi,high
快速排序(regular)
def quick_sort(ary):
return qsort(ary,0,len(ary)-1)
def qsort(ary,left,right):
#快排函數(shù)研叫，ary為待排序數(shù)組挨下，left為待排序的左邊界侠仇，right為右邊界
if left >= right : return ary
key = ary[left] #取最左邊的為基準(zhǔn)數(shù)
lp = left #左指針
rp = right #右指針
while lp < rp :
while ary[rp] >= key and lp < rp :
rp -= 1
while ary[lp] <= key and lp < rp :
lp += 1
ary[lp],ary[rp] = ary[rp],ary[lp]
ary[left],ary[lp] = ary[lp],ary[left]
qsort(ary,left,lp-1)
qsort(ary,rp+1,right)
return ary
歸并排序
# MergeSort
def mergeSort(arr):
mid = len(arr)/2
left ,right = arr[:mid],arr[mid:]
if len(left)>1:
left = mergeSort(left)
if len(right)>1:
right = mergeSort(right)
res = []
while left and right:
if left[-1]>=right[-1]:
res.append(left.pop())
else:
res.append(right.pop())
res.reverse()
return (left or right)+res
Shell排序
def shell_sort(ary):
n = len(ary)
gap = round(n/2) #初始步長 , 用round四舍五入取整
while gap > 0 :
for i in range(gap,n): #每一列進行插入排序 , 從gap 到 n-1
temp = ary[i]
j = i
while ( j >= gap and ary[j-gap] > temp ): #插入排序
ary[j] = ary[j-gap]
j = j - gap
ary[j] = temp
gap = round(gap/2) #重新設(shè)置步長
return ary
插入排序
def insert_sort(lists):
# 插入排序
count = len(lists)
for i in range(1, count):
key = lists[i]
j = i - 1
while j >= 0:
if lists[j] > key:
lists[j + 1] = lists[j]
lists[j] = key
j -= 1
return lists
選擇排序
def select_sort(ary):
n = len(ary)
for i in range(0,n):
min = i #最小元素下標(biāo)標(biāo)記
for j in range(i+1,n):
if ary[j] < ary[min] :
min = j #找到最小值的下標(biāo)
ary[min],ary[i] = ary[i],ary[min] #交換兩者
return ary
冒泡排序
def bubble_sort(arry):
n = len(arry) #獲得數(shù)組的長度
for i in range(n):
for j in range(1,n-i):
if arry[j-1] > arry[j] : #如果前者比后者大
arry[j-1],arry[j] = arry[j],arry[j-1] #則交換兩者
return arry
