It is New Year's Day and people are in line for the Wonderland rollercoaster ride. Each person wears a sticker indicating their initial position in the queue from to . Any person can bribe the person directly in front of them to swap positions, but they still wear their original sticker. One person can bribe at most two others.

Determine the minimum number of bribes that took place to get to a given queue order. Print the number of bribes, or, if anyone has bribed more than two people, print Too chaotic.

Example

If person bribes person , the queue will look like this: . Only bribe is required. Print 1.

Person had to bribe people to get to the current position. Print Too chaotic.

Function Description

Complete the function minimumBribes in the editor below.

minimumBribes has the following parameter(s):

int q[n]: the positions of the people after all bribes Returns

No value is returned. Print the minimum number of bribes necessary or Too chaotic if someone has bribed more than people. Input Format

The first line contains an integer , the number of test cases.

Each of the next pairs of lines are as follows: - The first line contains an integer , the number of people in the queue - The second line has space-separated integers describing the final state of the queue.

Constraints

Subtasks

For score For score

Sample Input

STDIN Function ----- -------- 2 t = 2 5 n = 5 2 1 5 3 4 q = [2, 1, 5, 3, 4] 5 n = 5 2 5 1 3 4 q = [2, 5, 1, 3, 4] Sample Output

3 Too chaotic Explanation

Test Case 1

The initial state:

pic1(1).png

After person moves one position ahead by bribing person :

pic2.png

Now person moves another position ahead by bribing person :

pic3.png

And person moves one position ahead by bribing person :

pic5.png

So the final state is after three bribing operations.

Test Case 2

No person can bribe more than two people, yet it appears person has done so. It is not possible to achieve the input state.