Consider a staircase of size :

   #
  ##
 ###
####

Observe that its base and height are both equal to , and the image is drawn using # symbols and spaces. The last line is not preceded by any spaces.

Write a program that prints a staircase of size .

Input Format

A single integer, , denoting the size of the staircase.

Output Format

Print a staircase of size  using # symbols and spaces.

Note: The last line must have  spaces in it.

Sample Input

6 

Sample Output

     #
    ##
   ###
  ####
 #####
######

Explanation

The staircase is right-aligned, composed of # symbols and spaces, and has a height and width of .

 


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