程序代写代做代考 Programming Exercise 3-1

Programming Exercise 3-1

Programming Exercise 7-11

# Global constants

ROWS = 3 # The number of rows

COLS = 3 # The number of columns

MIN = 1 # The value of the smallest number

MAX = 9 # The value of the largest number

def main():

# Create a two-dimensional list.

test_list = [ [4, 9, 2],

[3, 5, 7],

[8, 1, 6] ]

# Display the list in row and column format.

display_square_list(test_list)

# Determine if the list is a Lo Shu magic square.

if is_magic_square(test_list):

print(‘This is a Lo Shu magic square.’)

else:

print(‘This is not a Lo Shu magic square.’)

# The display_square_list function accepts a two-dimensional

# list as an argument, and displays the list’s values in row

# and column format.

def display_square_list(value_list):

for r in range(ROWS):

for c in range(COLS):

print(value_list[r][c], end=’ ‘)

print()

# The is_magic_square function accepts a two-dimensional

# list as an argument, and returns True if the list meets

# all the requirements of a magic square. Otherwise it

# returns False.

def is_magic_square(value_list):

# Set status to False, initially.

status = False

# Call functions and store their return values.

is_in_range = check_range(value_list)

is_unique = check_unique(value_list)

is_equal_rows = check_row_sum(value_list)

is_equal_cols = check_col_sum(value_list)

is_equal_diag = check_diag_sum(value_list)

# Determine if the list meets all the requirements.

if is_in_range and \

is_unique and \

is_equal_rows and \

is_equal_cols and \

is_equal_diag:

# If it does, set status to True.

status = True

# Return the status.

return status

# The check_range function accepts a two-dimensional

# list as an argument, and returns True if the values

# in the list are within the specified range. Otherwise,

# it returns False.

def check_range(value_list):

# Initialize status to True.

status = True

# Step through all the values in the list.

for r in range(ROWS):

for c in range(COLS):

# Determine if any of the values

# are out of range.

if value_list[r][c] < MIN or \ value_list[r][c] > MAX:

# If so, set status to False.

status = False

# Return the status.

return status

# The check_unique function accepts a two-dimensional

# list as an argument, and returns True if the values

# in the list are unique. Otherwise, it returns False.

def check_unique(value_list):

# Initialize status to True.

status = True

# Initialize the search value.

search_value = MIN

# Initialize the counter to zero.

count = 0

# Perform the search while the maximum value

# has not been reached, and the values are

# unique.

while search_value <= MAX and status == True: # Step through all the values in the list. for r in range(ROWS): for c in range(COLS): # Determine if the current value equals # the search value. if value_list[r][c] == search_value: # If so, increment the counter. count += 1 # Determine if the counter variable is # Greater than one. if count > 1:

# If so, the value is not unique.

# Set status to False.

status = False

# Increment the search value.

search_value += 1

# Reset the counter variable.

count = 0

# Return the status.

return status

# The check_row_sum function accepts a two-dimensional

# list as an argument, and returns True if the sum of

# the values in each of the list’s rows are equal.

# Otherwise, it returns False.

def check_row_sum(value_list):

# Initialize status to True.

status = True

# Calculate the sum of the values in the first row.

sum_row_0 = value_list[0][0] + \

value_list[0][1] + \

value_list[0][2]

# Calculate the sum of the values in the second row.

sum_row_1 = value_list[1][0] + \

value_list[1][1] + \

value_list[1][2]

# Calculate the sum of the values in the third row.

sum_row_2 = value_list[2][0] + \

value_list[2][1] + \

value_list[2][2]

# Determine if the sum of any of the rows is not equal.

if (sum_row_0 != sum_row_1) or \

(sum_row_0 != sum_row_2) or \

(sum_row_1 != sum_row_2):

# If so, set the status to False

status = False

# Return the status.

return status

# The check_col_sum function accepts a two-dimensional

# list as an argument, and returns True if the sum of

# the values in each of the list’s columns are equal.

# Otherwise, it returns False.

def check_col_sum(value_list):

# Initialize status to True.

status = True

# Calculate the sum of the values in the first column.

sum_col_0 = value_list[0][0] + \

value_list[1][0] + \

value_list[2][0]

# Calculate the sum of the values in the second column.

sum_col_1 = value_list[0][1] + \

value_list[1][1] + \

value_list[2][1]

# Calculate the sum of the values in the third column.

sum_col_2 = value_list[0][2] + \

value_list[1][2] + \

value_list[2][2]

# Determine if the sum of any of the columns

# is not equal.

if (sum_col_0 != sum_col_1) or \

(sum_col_0 != sum_col_2) or \

(sum_col_1 != sum_col_2):

# If so, set the status to False

status = False

# Return the status.

return status

# The check_diag_sum function accepts a two-dimensional

# list as an argument, and returns True if the sum of

# the values in each of the list’s diagonals are equal.

# Otherwise, it returns False.

def check_diag_sum(value_list):

# Initialize status to True.

status = True

# Calculate the sum of the values in the first diagonal.

sum_diag_0 = value_list[0][0] + \

value_list[1][1] + \

value_list[2][2]

# Calculate the sum of the values in the second diagonal.

sum_diag_1 = value_list[2][0] + \

value_list[1][1] + \

value_list[0][2]

# Determine if the sum of any of the columns

# is not equal.

if sum_diag_0 != sum_diag_1:

status = False

# Return the status.

return status

# Call the main function.

main()