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inversions.py
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# Uses python3
import sys
def merge(a , b):
answer = list()
i,j = 0,0
count = 0
while True:
if i >=len(a):
return answer + b[j:],count
if j >= len(b):
return answer + a[i:],count
if a[i] <= b[j]:
answer.append(a[i])
i += 1
else:
answer.append(b[j])
j += 1
count += len(a)-i
def mergesort(arr):
if len(arr) == 1:
return arr,0
else:
mid = len(arr)//2
left, cl = mergesort(arr[:mid])
right, cr = mergesort(arr[mid:])
result, c = merge(left,right)
count = cl + cr + c
return result,count
def count(arr):
return mergesort(arr)[1]
def get_number_of_inversions(a, b, left, right):
number_of_inversions = 0
if right - left <= 1:
return number_of_inversions
ave = (left + right) // 2
number_of_inversions += get_number_of_inversions(a, b, left, ave)
number_of_inversions += get_number_of_inversions(a, b, ave, right)
#write your code here
return number_of_inversions
if __name__ == '__main__':
input = sys.stdin.read()
n, *a = list(map(int, input.split()))
b = n * [0]
print(count(a))