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?

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Write me a Python code to find the minimal possible number of inversions in the deque after the whole array is processed?
assistant
#Here is Python code to find the minimal possible number of inversions in the deque after the whole array is processed.

import sys
input=sys.stdin.readline

from collections import defaultdict

class Fenwick:
    def __init__(self, n):
        self.a = [0] * (n + 1)
    
    def sum(self, i): 
        s = 0
        while i > 0:
            s += self.a[i]
            i -= i & -i
        return s
    
    def add(self, i, x):
        while i < len(self.a):
            self.a[i] += x
            i += i & -i

def solve(A, n):
    count = defaultdict(int)
    B = sorted(set(A))
    m = {c: i for i, c in enumerate(B, 1)}
    fen = Fenwick(len(B))
    ans = 0
    total = 0
    for a in A:
        i = m[a]
        smaller = fen.sum(i - 1)
        larger = total - smaller - count[a]
        # print(a, smaller, larger)
        ans += min(smaller, larger)
        fen.add(i, 1)
        total += 1
        count[a] += 1
    return ans

T = int(input())
for _ in range(T):
    n = int(input())
    A = list(map(int, input().split()))
    print(solve(A, n))