Ex 22.ipynb

Kernel: Python 3 (Anaconda 2020)

#These are included so that the Ex 22 functions may work:

def lineSudSolver1(A):
    '''this function takes a 1D sudoku (a line of numbers containing missing numbers denoted by a '0')
    and returns the missing numbers'''
    mnum = []
    for num in range(1,10): #iterates through the list
        if num not in A: #if a number is not in A (the 1D sudoku), returns number
            mnum.append(num)
            continue
    return(mnum)

def boxSudSolver1(B):
    '''takes a 2D array of 9 numbers, finds any missing numbers denoted by 0 and returns a list of those missing numbers'''
    mnum = []
    for num in range(1,10): #iterates through the list
        if num not in B: #if a number is not in A (the 1D sudoku), returns number
            mnum.append(num)
            continue
    return(mnum)

import numpy as np
sudSimp = np.array([
    [1, 0, 6,   4, 5, 9,   3, 8, 2],
    [0, 5, 0,   0, 0, 3,   9, 6, 1],
    [9, 0, 8,   1, 0, 6,   5, 0, 4],
       
    [7, 9, 0,   3, 4, 8,   0, 2, 5],
    [0, 2, 3,   6, 0, 7,   0, 0, 8],
    [6, 0, 0,   2, 0, 5,   1, 3, 7],
       
    [0, 0, 7,   5, 0, 0,   0, 4, 9],
    [8, 0, 9,   0, 6, 4,   2, 0, 3],
    [3, 4, 0,   9, 0, 2,   0, 1, 6]
])

def row(board,x,y):
    '''takes 3 inputs, a 9x9 board and two coordinates, and outputs a list of numbers that are not in that row'''
    num = lineSudSolver1(board[x,:])
    return(num)

print(row(sudSimp,0,1))
print(row(sudSimp,7,7))

[7]
[1, 5, 7]

def col(board,x,y):
    '''takes 3 inputs, a 9x9 board and two coordinates, and outputs a list of numbers that are not in that column'''
    num = lineSudSolver1(board[:,y])
    return(num)
print(col(sudSimp,0,1))
print(col(sudSimp,7,7))

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

def board(board,x,y):
    '''takes 3 inputs, a 9x9 board and two coordinates, and outputs in that box a list of numbers'''
    xmin = 3*(x//3)
    xmax = xmin + 3
    ymin = 3*(y//3)
    ymax = ymin + 3
    box = board[xmin:xmax,ymin:ymax]
    solved = boxSudSolver1(box)
    return(solved)

print(board(sudSimp,0,1))
print(board(sudSimp,7,7))

[2, 3, 4, 7]
[5, 7, 8]