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78 changes: 78 additions & 0 deletions Divide and Conquer/merge_sort.py
Original file line number Diff line number Diff line change
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#thus function merges the subarrays
def merge(arr, left ,mid ,right) :
n1 = int(mid - left + 1)
n2 = int(right - mid)

#Creating temporary left and
#right subarrays
L = [0] * (n1)
R = [0] * (n2)

#Filling the subarrays
for i in range(0,n1):
L[i] = arr[left + i]

for j in range(0,n2):
R[j] = arr[mid + j + 1]

i = 0
j = 0
k = left;

#Merge operation
while i < n1 and j < n2 :
if L[i] <= R[j]:
arr[k] = L[i]
k+=1
i+=1
else:
arr[k] = R[j]
k+=1
j+=1

#Remaining elements of left subarray
while i < n1:
arr[k] = L[i]
k+=1
i+=1


#Remaining elements of right subarray
while j < n2:
arr[k] = R[j]
k+=1
j+=1


#mergesort function
def mergeSort(arr, left, right):

if left < right:
#calculating mid
mid = int((left + (right - 1)) / 2)

#sort left subarray
mergeSort(arr, left, mid)
#sort right subarray
mergeSort(arr, mid + 1, right)
#merge left and right subarray
merge(arr, left, mid, right)


#sample array to be sorted
arr = [4, 5, 1, 2, -2, 0]
size = len(arr)
print("Before sorting : ")

for i in range(size):
print("%d" %arr[i]);

mergeSort(arr, 0, size - 1);

print("After sorting : ")

for j in range(size):
print("%d" %arr[j]);