Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
4th Edition
ISBN: 9780134444321
Author: Tony Gaddis
Publisher: PEARSON
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Chapter 7, Problem 11PE
Program Plan Intro

Lo Shu Magic Square

Program plan:

  • • Declare a function named “loShuMagicSq()”.
    • ○ Use a nested “for” loop to check the row, column, and diagonal sum.
    • ○ Inside the “for” loop, create a nested “if” statement.
    • ○ Then, using the first “if” statement, check whether the row sum is equal to the diagonal sum.
    • ○ If the condition is true, then using the second “if” statement, check whether the row sum is equivalent to column sum.
    • ○ If both the conditions are true, then print the message “The square is a Lo Shu Magic Square” and return.
    • ○ If any one of the conditions fails, then print the message “The square is not a Lo Shu Magic Square” and return.
  • • In the “main()” function, perform the following steps:
    • ○ Create a two-dimensional list called “inpSq”.
    • ○ Then, call the function “loShuMagicSq()” with “inpSq” as input to check whether the “inpSq” forms a “Lo Shu Magic Square”.
  • • Finally, call the function “main()” to execute the program.

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8. Lo Shu Magic Square The Lo Shu Magic Square is a grid with 3 rows and 3 columns shown in Figure 7-19 Q. The Lo Shu Magic Square has the following properties: Figure 7-19 Lo Shu Magic Square 9 2 4 3 5 7 8 1 • The grid contains the numbers 1 through 9 exactly. • The sum of each row, each column, and each diagonal all add up to the same number. This is shown in Figure 7-20 D. Figure 7-20 Sums of the rows, columns, and diagonals 15 4 +15 7 +15 8 1 6 +15 15 15 15 15 In a program, you can simulate a magic square using a two-dimensional array. Write a function that accepts a two-dimensional array as an argument, and determines whether the array is a Lo Shu Magic Square. Test the function in a program.

Chapter 7 Solutions

Starting Out with Python (4th Edition)

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