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 code to find the minimal possible number of inversions in the deque after the whole array is processed.

'Sorted List\n==============\n\n:doc:`Sorted Containers<index>` is an Apache2 licensed Python sorted\ncollections library, written in pure-Python, and fast as C-extensions. The\n:doc:`introduction<introduction>` is the best way to get started.\n\nSorted list implementations:\n\n.. currentmodule:: sortedcontainers\n\n* :class:`SortedList`\n* :class:`SortedKeyList`\n\n'
from __future__ import print_function
u='lists'
t='len_lists'
s='maxes'
r='len_maxes'
q='index'
p='len_index'
o='offset'
n='load'
m='len'
l='use ``sl.add(value)`` instead'
k=all
j=sum
i=sorted
h=property
c='list index out of range'
b=isinstance
a=ImportError
S=type
R=IndexError
Q=NotImplementedError
P=slice
O='{0!r} not in list'
N=list
L='{0!r} is not in list'
K=False
J=reversed
I=True
H=iter
E=ValueError
D=print
C=range
B=None
A=len
import sys,traceback as T
from bisect import bisect_left,bisect_right,insort as d
from itertools import chain as M,repeat as e,starmap as U
from math import log
from operator import add,eq,ne,gt,ge,lt,le,iadd as F
from textwrap import dedent as f
try:from collections.abc import Sequence,MutableSequence as V
except a:from collections import Sequence,MutableSequence as V
from functools import wraps
from sys import hexversion as g
if g<50331648:
    from itertools import imap as map,izip as zip
    try:from thread import get_ident
    except a:from dummy_thread import get_ident
else:
    from functools import reduce as G
    try:from _thread import get_ident
    except a:from _dummy_thread import get_ident
def W(fillvalue='...'):
    'Decorator to make a repr function return fillvalue for a recursive call.'
    def A(user_function):
        C=user_function;A=set()
        @wraps(C)
        def B(self):
            B=id(self),get_ident()
            if B in A:return fillvalue
            A.add(B)
            try:D=C(self)
            finally:A.discard(B)
            return D
        return B
    return A
class X(V):
    'Sorted list is a sorted mutable sequence.\n\n    Sorted list values are maintained in sorted...