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Merge Sort Algorithm in python #602

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31 changes: 31 additions & 0 deletions projects/Merge_Sort_Algorithm/README.md
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## Merge Sort Algorithm

This script sorts the given array using merge sort algorithm. You can change the predefined "arr" to sort your array.

### Prerequisites

You only need python to run this script. You can visit [here](https://www.python.org/downloads/) to download python.

### How to run the script

Running the script is really simple! Just open a terminal in the folder where your script is located and run the following command :

```
python3 merge.py
```

### Sample use of the script

```
python3 merge.py

Given array is
100 50 80 20 70

Sorted array is
20 50 70 80 100

```
### Author Name

Vrunda Jasani
77 changes: 77 additions & 0 deletions projects/Merge_Sort_Algorithm/merge.py
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# Python program for implementation of MergeSort

# Merges two subarrays of arr[].
# First subarray is arr[l..m]
# Second subarray is arr[m+1..r]


def merge(arr, l, m, r):
n1 = m - l + 1
n2 = r - m

# create temp arrays
L = [0] * (n1)
R = [0] * (n2)

# Copy data to temp arrays L[] and R[]
for i in range(0, n1):
L[i] = arr[l + i]

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

# Merge the temp arrays back into arr[l..r]
i = 0 # Initial index of first subarray
j = 0 # Initial index of second subarray
k = l # Initial index of merged subarray

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

# Copy the remaining elements of L[], if there
# are any
while i < n1:
arr[k] = L[i]
i += 1
k += 1

# Copy the remaining elements of R[], if there
# are any
while j < n2:
arr[k] = R[j]
j += 1
k += 1

# l is for left index and r is right index of the
# sub-array of arr to be sorted

def mergeSort(arr, l, r):
if l < r:

# Same as (l+r)//2, but avoids overflow for
# large l and h
m = l+(r-l)//2

# Sort first and second halves
mergeSort(arr, l, m)
mergeSort(arr, m+1, r)
merge(arr, l, m, r)


# Driver code to test above
arr = [100, 50, 80, 25, 20, 5]
n = len(arr)
print("Given array is")
for i in range(n):
print("%d" % arr[i],end=" ")

mergeSort(arr, 0, n-1)
print("\n\nSorted array is")
for i in range(n):
print("%d" % arr[i],end=" ")