Queens Permutations - 2d As 2d - Box Chooses

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1. You are given a number n, representing the size of a n * n chess board.
2. You are required to calculate and print the permutations in which n queens can be placed on the 
     n * n chess-board. 

Note -> Use the code snippet and follow the algorithm discussed in question video. The judge can't 
               force you but the intention is to teach a concept. Play in spirit of the question.

Input Format

A number n

Output Format

Check the sample output and question video

Constraints

1 <= n <= 5

Notice

Try First, Check Solution later

1. You should first read the question and watch the question video.
2. Think of a solution approach, then try and submit the question on editor tab.
3. We strongly advise you to watch the solution video for prescribed approach.

Example

Input
2
Output
q1	q2
-	-


q1	-
q2	-


q1	-
-	q2


q2	q1
-	-


q2	-
q1	-


q2	-
-	q1


-	q1
q2	-


-	q1
-	q2


-	q2
q1	-


-	q2
-	q1


-	-
q1	q2


-	-
q2	q1


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