human
In fact, the problems E1 and E2 do not have much in common. You should probably think of them as two separate problems.

You are given an integer array a[1 … n] = [a_1, a_2, …, a_n].

Let us consider an empty [deque](https://tinyurl.com/pfeucbux) (double-ended queue). A deque is a data structure that supports adding elements to both the beginning and the end. So, if there are elements [3, 4, 4] currently in the deque, adding an element 1 to the beginning will produce the sequence [\color{red}{1}, 3, 4, 4], and adding the same element to the end will produce [3, 4, 4, \color{red}{1}].

The elements of the array are sequentially added to the initially empty deque, starting with a_1 and finishing with a_n. Before adding each element to the deque, you may choose whether to add it to the beginning or to the end.

For example, if we consider an array a = [3, 7, 5, 5], one of the possible sequences of actions looks like this:    1. |  add 3 to the beginning of the deque: |  deque has a sequence [\color{red}{3}] in it.
  
---|---|---  
  2. |  add 7 to the end of the deque: |  deque has a sequence [3, \color{red}{7}] in it.
  
  3. |  add 5 to the end of the deque: |  deque has a sequence [3, 7, \color{red}{5}] in it.
  
  4. |  add 5 to the beginning of the deque: |  deque has a sequence [\color{red}{5}, 3, 7, 5] in it.
  
  
Find the minimal possible number of inversions in the deque after the whole array is processed. 

An inversion in sequence d is a pair of indices (i, j) such that i < j and d_i > d_j. For example, the array d = [5, 3, 7, 5] has exactly two inversions — (1, 2) and (3, 4), since d_1 = 5 > 3 = d_2 and d_3 = 7 > 5 = d_4.

Input

The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases.

The next 2t lines contain descriptions of the test cases. 

The first line of each test case description contains an integer n (1 ≤ n ≤ 2 ⋅ 10^5) — array size. The second line of the description contains n space-separated integers a_i (-10^9 ≤ a_i ≤ 10^9) — elements of the array.

It is...
Using python3 can you solve the prior task?
assistant
#Here is Python program to find the minimal possible number of inversions in the deque after the whole array is processed.

import io,os
input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline

class fenwick(object):
    def __init__(self, n):
        self.n = n
        self.cul = [0]*n

    def update(self,index,diff):
        i = index
        while i<self.n:
            self.cul[i] += diff
            i += (i+1)&(-i-1)

    def getaccu(self,index):
        output = 0
        i = index
        while i>=0:
            output += self.cul[i]
            i -= (i+1)&(-i-1)
        return output


def main(t):

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

    sortedarr = sorted(arr)
    dic = {}

    fre = []

    index = 0
    for num in sortedarr: 
        if num not in dic:  
            dic[num] = index
            index += 1
    

    fre = fenwick(index)

    occupy = {}

    ans = 0

    for i,num in enumerate(arr):
        if num not in occupy:  occupy[num] = 0
        occupy[num] += 1

        curr = dic[num] 
#        print(curr)
        fre.update(curr,1)
        front = fre.getaccu(curr-1)
        
        rear = i+1-front-occupy[num]

#        print(front,rear)

        ans += min(front,rear)

    print(ans)
        

         


       
        

       


        

    















T = int(input())
t = 1
while t<=T:
    main(t)
    t += 1