Data-Structures-and-Algorithms/Python/all sorting methods.py at main · codemistic/Data-Structures-and-Algorithms · GitHub

Name: Data-Structures-and-Algorithms/Python/all sorting methods.py at main · codemistic/Data-Structures-and-Algorithms · GitHub
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# BUBBLE SORT
defbubblesort(customList):
foriinrange(len(customList)-1): #O(n)
forjinrange(len(customList)-i-1): #O(n)
ifcustomList[j]>customList[j+1]: #O(1)
customList[j],customList[j+1]=customList[j+1],customList[j]
print(customList)
# cList=[2,1,3,6,9,7,4,8,5]
# bubblesort(cList)

# SELECTION SORT
defselectionSort(customList):
foriinrange(len(customList)):
min_index=i
forjinrange(i+1,len(customList)):
ifcustomList[min_index] >customList[j]:
min_index=j
customList[i],customList[min_index] =customList[min_index],customList[i]
print(customList)

# cList=[2,1,3,6,9,7,4,8,5]
# selectionSort(cList)


# INSERTION SORT

definsertionSort(customList):
foriinrange(1,len(customList)):
key=customList[i]
j=i-1
whilej>=0andkey<customList[j]:
customList[j+1] =customList[j]
j-=1
customList[j+1] =key
returncustomList

# cList=[2,1,3,6,9,7,4,8,5]
# print(insertionSort(cList))

# BUCKET SORT

importmath
fromxmlrpc.serverimportMultiPathXMLRPCServer

defbucketSort(customList):
numberofBuckets=round(math.sqrt(len(customList)))
maxValue=max(customList)
arr=[]

foriinrange(numberofBuckets):
arr.append([])
forjincustomList:
index_b=math.ceil(j*numberofBuckets/maxValue)
arr[index_b-1].append(j)

foriinrange(numberofBuckets):
arr[i] =insertionSort(arr[i])

k=0
foriinrange(numberofBuckets):
forjinrange(len(arr[i])):
customList[k] =arr[i][j]
k+=1
returncustomList


# cList=[2,1,3,6,9,7,4,8,5]
# print(bucketSort(cList))


# MERGE SORT ALGORITHM

defmerge(customList, l, m, r):
n1=m-l+1
n2=r-m

L=[0]*(n1)
R=[0]*(n2)

foriinrange(0,n1):
L[i] =customList[l+i]

forjinrange(0,n2):
R[j] =customList[m+1+j]

i=0
j=0
k=l
whilei<n1andj<n2:
ifL[i] <=R[j]:
customList[k] =L[i]
i+=1
else:
customList[k] =R[j]
j+=1
k+=1
whilei<n1:
customList[k] =L[i]
i+=1
k+=1
whilej<n2:
customList[k] =R[j]
j+=1
k+=1
# TIME COMPLEXITY : O(N)


defmergeSort(customList, l, r):
ifl<r:
m= (l+(r-1))//2
mergeSort(customList, l, m) #T(n/2)
mergeSort(customList, m+1, r) #T(n/2)
merge(customList, l, m, r)
returncustomList

# cList=[2,1,3,6,9,7,4,8,5]
# print(mergeSort(cList ,0 ,8))


# QUICK SORT

defpartition(customList,low,high):
i=low-1
pivot=customList[high]
forjinrange(low,high):
ifcustomList[j] <=pivot:
i+=1
customList[i],customList[j] =customList[j],customList[i]
customList[i+1],customList[high] =customList[high] , customList[i+1]
return (i+1)

defquickSort(customList ,low ,high):
iflow<high:
pi=partition(customList ,low ,high) #O(n)
quickSort(customList ,low ,pi-1) #T(n/2)
quickSort(customList ,pi+1 ,high) #T(n/2)
#combined = O(N LogN)

# cList=[2,1,3,6,9,7,4,8,5]
# quickSort(cList ,0 ,8)
# print(cList)


# HEAP SORT ALGORITHM

defheapify(customList,n,i):
smallest=i
l=2*i+1
r=2*i+2

ifl<nandcustomList[l] <customList[smallest]:
smallest=l
ifr<nandcustomList[r] <customList[smallest]:
smallest=r
ifsmallest!=i:
customList[i], customList[smallest] =customList[smallest], customList[i]
heapify(customList ,n ,smallest)

defheapSort(customList):
n=len(customList)
foriinrange(int(n/2)-1,-1,-1):
heapify(customList,n,i)

foriinrange(n-1,0,-1):
customList[i],customList[0]=customList[0],customList[i]
heapify(customList,i,0)
customList.reverse()


cList=[2,1,3,6,9,7,4,8,5]
heapSort(cList)
print(cList)