Lily's Homework

#!/bin/python3

import math
import os
import random
import re
import sys

#
# Complete the 'lilysHomework' function below.
#
# The function is expected to return an INTEGER.
# The function accepts INTEGER_ARRAY arr as parameter.
#

def lilysHomework(arr):
    # Write your code here
    ind={}
    for i in range(len(arr)):
        ind[arr[i]]=i
    a=arr[:]
    ind1=ind.copy()
    
    a.sort()
    res=util(arr[:],a,ind)
    #print(ind,ind1)
    res=min(res,util(arr,a[::-1],ind1))
    return res
def util(arr,a,ind):
    res=0
    for i in range(len(arr)):
        if a[i]!=arr[i]:
            tmp=arr[i]
            arr[i],arr[ind[a[i]]]=arr[ind[a[i]]],arr[i]
            #print(1,a[i],arr[ind[a[i]]],ind[a[i]],ind[arr[i]])
            ind[a[i]],ind[tmp]=ind[tmp],ind[a[i]]
            res+=1
        #print(arr,res,ind)
    return res
if __name__ == '__main__':
    fptr = open(os.environ['OUTPUT_PATH'], 'w')

    n = int(input().strip())

    arr = list(map(int, input().rstrip().split()))

    result = lilysHomework(arr)

    fptr.write(str(result) + '\n')

    fptr.close()