Algorithm for Solving Easy Sudoku Puzzles: Pick an empty cell to begin. List the numbers (1 through 9) that the cell could still be, by eliminating all the numbers in this cell's 3x3 section, and all the numbers in this cell's row, and all the numbers in this column. Repeat that process for every empty cell on the board. Hint: you will need a different kind of variable (not a matrix) to store these possibilities for each location. At the end of this process, the value of a few cells will be completely known, i.e., all other eight numbers have been eliminated as possibilities. So now you can go back and re-process all the unknown cells on the board with this new information. At the end of that re-processing, if there are any cells that are now completely known, that weren't completely known before, then you can re-process again. That re-processing can continue again and again until there are no longer any new completely known values. If the all of the values on the board are completely determined, congratulations! You're solved an easy Sudoku puzzle! For more difficult Sudoko puzzles, some guessing and checking would be needed, which is beyond the scope of this lab. Your program only needs to work for easy sudoku puzzl which no guesses are needed. Housekeeping Commands:
Algorithm for Solving Easy Sudoku Puzzles: Pick an empty cell to begin. List the numbers (1 through 9) that the cell could still be, by eliminating all the numbers in this cell's 3x3 section, and all the numbers in this cell's row, and all the numbers in this column. Repeat that process for every empty cell on the board. Hint: you will need a different kind of variable (not a matrix) to store these possibilities for each location. At the end of this process, the value of a few cells will be completely known, i.e., all other eight numbers have been eliminated as possibilities. So now you can go back and re-process all the unknown cells on the board with this new information. At the end of that re-processing, if there are any cells that are now completely known, that weren't completely known before, then you can re-process again. That re-processing can continue again and again until there are no longer any new completely known values. If the all of the values on the board are completely determined, congratulations! You're solved an easy Sudoku puzzle! For more difficult Sudoko puzzles, some guessing and checking would be needed, which is beyond the scope of this lab. Your program only needs to work for easy sudoku puzzl which no guesses are needed. Housekeeping Commands:
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![Algorithm for Solving Easy Sudoku Puzzles:
Pick an empty cell to begin.
List the numbers (1 through 9) that the cell could still be, by eliminating all the numbers in this cell's 3x3 section, and all the numbers in this cell's row, and all the numbers in this cell's
column.
Repeat that process for every empty cell on the board.
Hint: you will need a different kind of variable (not a matrix) to store these possibilities for each location.
At the end of this process, the value of a few cells will be completely known, i.e., all other eight numbers have been eliminated as possibilities.
So now yo ca
go back and re-process all the unknown cells on the board with this new information.
At the end of that re-processing, if there are any cells that are now completely known, that weren't completely known before, then you can re-process again.
That re-processing can continue again and again until there are no longer any new completely known values.
If the all of the values on the board are completely determined, congratulations! You're solved an easy Sudoku puzzle!
For more difficult Sudoko puzzles, some guessing and checking would be needed, which is beyond the scope of this lab. Your program only needs to work for easy sudoku puzzles, for
which no guesses are needed.
Housekeeping Commands:
2
clear
3
clc
Test Cases:
% Test Case 1 (where a Ø represents an unknown value)
M= [5 3 0 6 7 8 9 1 2;
0 0 2 1 9 5 3 0 8;
1 9 8 3 4 2 0 6 7;
8 0 9 7 6 1 4 2 3;
4 2 6 8 0 379 0;
0 0 3 9 2 4 8 0 6;
0 6 1 5 3 7 2 8 4;
2 8 7 4 1 9 6 0 5;
3 4 5 2 8 6 1 7 0]
% Test Case 1 solution:
% M= [534 6 7 8 9 1 2;
6 7 2 19 5 3 4 8;
1 9 8 3 4 2 5 6 7;
5
7
8
9
10
11
12
13
14
15
16
17
UTF-8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb4f6857-2693-48ae-b66e-ed75bf467211%2Fbb01255a-2881-4bc6-aca7-e3e25377398c%2F49iow4_processed.png&w=3840&q=75)
Transcribed Image Text:Algorithm for Solving Easy Sudoku Puzzles:
Pick an empty cell to begin.
List the numbers (1 through 9) that the cell could still be, by eliminating all the numbers in this cell's 3x3 section, and all the numbers in this cell's row, and all the numbers in this cell's
column.
Repeat that process for every empty cell on the board.
Hint: you will need a different kind of variable (not a matrix) to store these possibilities for each location.
At the end of this process, the value of a few cells will be completely known, i.e., all other eight numbers have been eliminated as possibilities.
So now yo ca
go back and re-process all the unknown cells on the board with this new information.
At the end of that re-processing, if there are any cells that are now completely known, that weren't completely known before, then you can re-process again.
That re-processing can continue again and again until there are no longer any new completely known values.
If the all of the values on the board are completely determined, congratulations! You're solved an easy Sudoku puzzle!
For more difficult Sudoko puzzles, some guessing and checking would be needed, which is beyond the scope of this lab. Your program only needs to work for easy sudoku puzzles, for
which no guesses are needed.
Housekeeping Commands:
2
clear
3
clc
Test Cases:
% Test Case 1 (where a Ø represents an unknown value)
M= [5 3 0 6 7 8 9 1 2;
0 0 2 1 9 5 3 0 8;
1 9 8 3 4 2 0 6 7;
8 0 9 7 6 1 4 2 3;
4 2 6 8 0 379 0;
0 0 3 9 2 4 8 0 6;
0 6 1 5 3 7 2 8 4;
2 8 7 4 1 9 6 0 5;
3 4 5 2 8 6 1 7 0]
% Test Case 1 solution:
% M= [534 6 7 8 9 1 2;
6 7 2 19 5 3 4 8;
1 9 8 3 4 2 5 6 7;
5
7
8
9
10
11
12
13
14
15
16
17
UTF-8
![% Test Case 1 (where a 0 represents an unknown value)
M= [5 3 0 6 7 8 9 1 2;
0 0 2 1 9 5 3 0 8;
19 8 3 4 2 0 6 7;
8 0 9 7 6 1 4 2 3;
4 2 6 8 0 3 7 9 0;
0 0 3 9 2 4 8 0 6;
0 6 1 5 3 7 2 8 4;
2 8 7 4 1 9 6 0 5;
4
5
7
8
10
11
12
3 4 5 2 8 6 1 7 0]
% Test Case 1 solution:
% M= [5 3 4 6 7 8 9 1 2;
6 7 2 19 5 3 4 8;
1 9 8 3 4 2 5 6 7;
8 5 9 76 1 4 2 3;
4 2 6 85 37 9 1;
7 1 3 9 2 4 8 5 6;
9 6 1 5 3 7 2 8 4;
9 6 3 5;
3 4 5 2 8 6 1 7 9]
13
14
15
16
17
19
20
21
22
2 8 7 4 1
23
24
% Test Case 2 (where a 0 represents an unknown
% M= [0 0 5 269 7 8 1;
6 8 0 0 7 1 4 9 3;
1 9 7 8 0 0 5 6 2;
25
value)
26
27
28
29
8 26 19 5 0 0 7;
3 7 4 6 8 2 9 0 0;
9 5 17 4 3 0 0 8;
5 19 3 0 0 8 7 4;
1 3 6;
0 0 3 4 1 8 2 5 9]
% Test Case 2 solution:
% M= [4 3 5 2 6 9 7 8 1;
6 8 2 5 7 1 4 9 3;
1 9 7 8 3 4 5 6 2;
8 2 6 19 5 3 4 7;
3 7 4 6 8 2 9 1 5;
9 5 1 7 4 3 6 2 8;
5 1 9 3 2 6 8 7 4;
30
31
32
33
2 4 0 0 5
34
35
36
37
38
39
40
41
42
2 4 8 9 5 7 1 3 6;
7 6 3 4 1 8 2 59]
43
44
UTF-8
O N00](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb4f6857-2693-48ae-b66e-ed75bf467211%2Fbb01255a-2881-4bc6-aca7-e3e25377398c%2F56fggia_processed.png&w=3840&q=75)
Transcribed Image Text:% Test Case 1 (where a 0 represents an unknown value)
M= [5 3 0 6 7 8 9 1 2;
0 0 2 1 9 5 3 0 8;
19 8 3 4 2 0 6 7;
8 0 9 7 6 1 4 2 3;
4 2 6 8 0 3 7 9 0;
0 0 3 9 2 4 8 0 6;
0 6 1 5 3 7 2 8 4;
2 8 7 4 1 9 6 0 5;
4
5
7
8
10
11
12
3 4 5 2 8 6 1 7 0]
% Test Case 1 solution:
% M= [5 3 4 6 7 8 9 1 2;
6 7 2 19 5 3 4 8;
1 9 8 3 4 2 5 6 7;
8 5 9 76 1 4 2 3;
4 2 6 85 37 9 1;
7 1 3 9 2 4 8 5 6;
9 6 1 5 3 7 2 8 4;
9 6 3 5;
3 4 5 2 8 6 1 7 9]
13
14
15
16
17
19
20
21
22
2 8 7 4 1
23
24
% Test Case 2 (where a 0 represents an unknown
% M= [0 0 5 269 7 8 1;
6 8 0 0 7 1 4 9 3;
1 9 7 8 0 0 5 6 2;
25
value)
26
27
28
29
8 26 19 5 0 0 7;
3 7 4 6 8 2 9 0 0;
9 5 17 4 3 0 0 8;
5 19 3 0 0 8 7 4;
1 3 6;
0 0 3 4 1 8 2 5 9]
% Test Case 2 solution:
% M= [4 3 5 2 6 9 7 8 1;
6 8 2 5 7 1 4 9 3;
1 9 7 8 3 4 5 6 2;
8 2 6 19 5 3 4 7;
3 7 4 6 8 2 9 1 5;
9 5 1 7 4 3 6 2 8;
5 1 9 3 2 6 8 7 4;
30
31
32
33
2 4 0 0 5
34
35
36
37
38
39
40
41
42
2 4 8 9 5 7 1 3 6;
7 6 3 4 1 8 2 59]
43
44
UTF-8
O N00
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