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Python Math: Generate a square matrix filled with elements from 1 to n raised to the power of 2 in spiral order

Python Math: Exercise-73 with Solution

Write a Python program to generate (given an integer n) a square matrix filled with elements from 1 to n raised to the power of 2 in spiral order.

Sample Solution:-

Python Code:

#https://gist.github.com/Ray1988/6806c1b85af70388a277
def generateMatrix(n):
        if n<=0:
            return [] 

        matrix=[row[:] for row in [[0]*n]*n]
        
        row_st=0
        row_ed=n-1
        
        col_st=0
        col_ed=n-1
        current=1
        
        while (True):
            if current>n*n:
                break
            for c in range (col_st, col_ed+1):
                matrix[row_st][c]=current
                current+=1
            row_st+=1
            for r in range (row_st, row_ed+1):
                matrix[r][col_ed]=current
                current+=1
            col_ed-=1
            for c in range (col_ed, col_st-1, -1):
                matrix[row_ed][c]=current
                current+=1
            row_ed-=1
            for r in range (row_ed, row_st-1, -1):
                matrix[r][col_st]=current
                current+=1
            col_st+=1
        return matrix

print(list(generateMatrix(3)))

Sample Output:

[[1, 2, 3], [8, 9, 4], [7, 6, 5]] 

Pictorial Presentation:

Python Math: Generate a square matrix filled with elements from 1 to n raised to the power of 2 in spiral order

Flowchart:

Flowchart: Generate a square matrix filled with elements from 1 to n raised to the power of 2 in spiral order

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Python: Tips of the Day

Find current directory and file's directory:

To get the full path to the directory a Python file is contained in, write this in that file:

import os 
dir_path = os.path.dirname(os.path.realpath(__file__))

(Note that the incantation above won't work if you've already used os.chdir() to change your current working directory, since the value of the __file__ constant is relative to the current working directory and is not changed by an os.chdir() call.)

To get the current working directory use

import os
cwd = os.getcwd()

Documentation references for the modules, constants and functions used above:

  • The os and os.path modules.
  • The __file__ constant
  • os.path.realpath(path) (returns "the canonical path of the specified filename, eliminating any symbolic links encountered in the path")
  • os.path.dirname(path) (returns "the directory name of pathname path")
  • os.getcwd() (returns "a string representing the current working directory")
  • os.chdir(path) ("change the current working directory to path")

Ref: https://bit.ly/3fy0R6m