Candle Arrangement

You are given an integer representing the anniversary year. Your task is to print a pyramid of candles using the '#' character, where the number of rows in the pyramid is equal to the given year. Each row i (0-indexed) contains exactly \(2i+1\) '#' characters and is padded with \(year-i-1\) spaces on the left to center the pyramid.

If the input year is non-positive, print None.

Examples:

Input: 3
Output:
  #
 ###
#####
Input: 5
Output:
#


#######
#########
Input: 0
Output:
None

</p>

inputFormat

The input consists of a single integer year provided via standard input.

outputFormat

If year > 0, output the candle arrangement pyramid (each row printed on a new line) to standard output. Otherwise, print None (without quotes).

## sample

3

  #

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