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# https://www.interviewbit.com/tutorial/quicksort-algorithm | |
def binary_search(A, target, start, end): | |
while(start<=end): | |
m = (start+end)//2 | |
if(A[m]==target): | |
return True | |
elif (A[m] < target): | |
start = m+1 | |
else: | |
end = m-1 | |
return False | |
def binary_search_recursive(A, target, start, end): | |
if(start<=end): | |
m = (start+end)//2 | |
if(A[m] == target): | |
return True | |
elif (A[m] < target): | |
return binary_search_recursive(A,target,m+1,end) | |
else: | |
return binary_search_recursive(A,target,start,m-1) | |
return False | |
lst = [1, 3, 4, 6, 8, 9, 17] | |
print(binary_search_recursive(lst, 4, 0, len(lst)-1)) | |
def swap(A,i,j): | |
A[i], A[j] = A[j], A[i] | |
def bubblesort(A): | |
n = len(A) | |
for i in range(len(A)): | |
for j in range(n-i-1): | |
if A[j]>A[j+1]: | |
swap(A,j,j+1) | |
def selectionsort(A): | |
n = len(A) | |
for i in range(n-1): | |
m = min(A[i+1:]) | |
if m < A[i]: | |
swap(A,i,A.index(m)) | |
def insertionsort(A): | |
n = len(A) | |
for i in range(1,n): | |
comp = i-1 | |
while(comp>=0 and A[comp]>A[i]): | |
swap(A,i,comp) | |
comp-=1 | |
i-=1 | |
def shellsort(A): | |
n = len(A) | |
gap = n//2 | |
while gap>0: | |
for i in range(gap,n): | |
tmp = A[i] | |
j = i | |
while j>=gap and A[j-gap] > tmp: | |
A[j] = A[j-gap] | |
j-=gap | |
A[j] = tmp | |
gap//=2 | |
# left = 0, right = 6 | |
def mergesort(self,A,left,right): | |
if left < right: | |
middle = (left+right)//2 | |
self.mergesort(A,left,middle) | |
self.mergesort(A,middle+1,right) | |
self.merge(A,left,middle,right) | |
def merge(self,A,left,mid,right): | |
tmp = [] | |
i,j = left,mid+1 | |
while i<=mid and j<=right: | |
if A[i] < A[j]: | |
tmp.append(A[i]) | |
i+=1 | |
else: | |
tmp.append(A[j]) | |
j+=1 | |
while i<=mid: | |
tmp.append(A[i]) | |
i+=1 | |
while j<=right: | |
tmp.append(A[j]) | |
j+=1 | |
for i in range(left,right+1): | |
A[i] = tmp[i-left] | |
def quicksort(self,A,start,end): | |
if start<end: | |
part = self.partition(A,start,end) | |
self.quicksort(A,start,part-1) | |
self.quicksort(A,part+1,end) | |
def partition(self,A,start,end): | |
pivot = A[end] | |
i = (start-1) | |
for j in range(start,end): | |
if A[j] < pivot: | |
i+=1 | |
A[i],A[j] = A[j],A[i] | |
A[i+1],A[end] = A[end],A[i+1] | |
return i+1 # return new pivot |
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