# Help with array

Team,

On my never ending saga to learn Ruby, I am trying to write a program to
solve Sudoku puzzles.
Given a multidimensional array (9x9) I am trying to inspect each row and
each column as follows:

Assume the following represents a typical row in my 9x9 array:

*Row***

23

689

7

12345689

1359

9

2468

359

235
Row
23
689
7
12345689
1359
9
2468
359
235
Row

23

689

7

12345689

1359

9

2468

359

235

Row
23
689
7
12345689
1359
9
2468
359
235
Furthermore, assume the following is a typical column:

*Column***

23

689

7

12345689

1359

9

2468

359

235
I would like to be able to count the frequency of each digit on either row
or column, separate of course!

*Number***

1

2

3

4

5

6

7

8

9

*Frequency***

2

4

5

2

4

3

1

3

5

I can do this with some ugly looking and probably inefficient loop. However,
Ruby has so many tools and "tricks" that perhaps there might be some way of
doing this quicker and easy to understand.

Any help will be greatly appreciated!

Thank you

Victor

-------- Original-Nachricht --------

Datum: Tue, 6 May 2008 04:06:01 +0900
Von: "Victor Reyes" <victor.reyes@gmail.com>
An: ruby-talk@ruby-lang.org
Betreff: Help with array

Team,

On my never ending saga to learn Ruby, I am trying to write a program to
solve Sudoku puzzles.
Given a multidimensional array (9x9) I am trying to inspect each row and
each column as follows:

Assume the following represents a typical row in my 9x9 array:

*Row***

23

689

7

12345689

1359

9

2468

359

235
Row
23
689
7
12345689
1359
9
2468
359
235
Row

23

689

7

12345689

1359

9

2468

359

235

Row
23
689
7
12345689
1359
9
2468
359
235
Furthermore, assume the following is a typical column:

*Column***

23

689

7

12345689

1359

9

2468

359

235
I would like to be able to count the frequency of each digit on either
row
or column, separate of course!

*Number***

1

2

3

4

5

6

7

8

9

*Frequency***

2

4

5

2

4

3

1

3

5

I can do this with some ugly looking and probably inefficient loop.
However,
Ruby has so many tools and "tricks" that perhaps there might be some way
of
doing this quicker and easy to understand.

Any help will be greatly appreciated!

Thank you

Victor

Dear Victor,

one nice feature of the Ruby list is its quiz contest.
You can have a look at different solution proposals for solving
Sudokus here:

http://www.rubyquiz.com/quiz43.html

Best regards,

Axel

···

--
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I don't think there's any way to do this without looking at every
cell. I was a little confused by your massive amount of text, so I
assume you're saying that each cell has more than one number in it.
(As occurs when writing down possibilities.)

Following is a simple iteration that will go through every cell and,
in a single pass, update the count of instances of a particular digit
in each row and column. I've implemented the multiple-numbers-per-cell
as an array per cell. If you have a string...well, don't do that,
because it'd be silly.

Hope this helps you with some insight into Ruby. As I'm offering this
code up to a newbie to learn from, others please feel free to post
followups ripping it apart and suggesting better ways to accomplish
the same goals.

# Create a 9x9 array, where each cell is an empty array
cells = Array.new(9){
Array.new(9){ [] }
}

# Fill each cell with dummy data (not sudoku-ready)
# of zero or more integers
cells.each{ |row|
row.each{ |cell|
1.upto(9){ |i|
# 20% chance of each number in some cell leaves
# us with a 13% chance of no numbers per cell.
# There's thus a 99.999% chance that at least one
# cell will be left empty (if my math is correct)
cell << i if rand < 0.2
}
}
}

# Now run through all the cells and count numbers
nums_by_row = Array.new(9){ Hash.new(0) }
nums_by_col = Array.new(9){ Hash.new(0) }
cells.each_with_index{ |row, row_num|
row.each_with_index{ |cell, col_num|
cell.each{ |num|
nums_by_row[ row_num ][ num ] += 1
nums_by_col[ col_num ][ num ] += 1
}
}
}

# Following output hand-formatted for clarity
# Beware unfortunate line-wrapping

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

p nums_by_row
# [{1=>5, 2=>2, 3=>2, 4=>1, 5=>1, 6=>2, 7=>2, 8=>2, 9=>3},
# { 2=>3, 3=>2, 4=>2, 5=>3, 6=>2, 7=>3, 8=>1, 9=>2},
# {1=>1, 2=>3, 3=>2, 4=>4, 5=>2, 6=>1, 7=>1, 8=>1 },
# {1=>2, 2=>3, 3=>3, 4=>1, 5=>3, 6=>1, 7=>2, 8=>2, 9=>1},
# { 4=>4, 5=>1, 6=>2, 7=>1, 8=>2, 9=>1},
# { 2=>3, 3=>2, 4=>3, 5=>2, 6=>2, 7=>1, 9=>6},
# { 2=>1, 3=>1, 4=>3, 5=>4, 6=>2, 7=>3, 8=>1, 9=>1},
# { 2=>1, 3=>1, 6=>1, 7=>4, 8=>1, 9=>3},
# {1=>2, 2=>2, 3=>3, 4=>2, 5=>4, 6=>2, 7=>2, 8=>2, 9=>1}]

p nums_by_col
# [{1=>1, 2=>2, 3=>4, 4=>3, 5=>2, 6=>2, 7=>2, 8=>1, 9=>3},
# { 2=>1, 3=>1, 4=>2, 5=>2, 6=>1, 7=>1, 8=>1, 9=>1},
# {1=>1, 2=>1, 3=>1, 4=>1, 5=>1, 6=>3, 7=>3, 8=>2, 9=>2},
# {1=>2, 2=>2, 4=>2, 5=>2, 7=>1 },
# {1=>1, 2=>2, 3=>2, 4=>2, 5=>3, 6=>3, 7=>5, 8=>3, 9=>3},
# {1=>4, 2=>3, 3=>3, 5=>5, 6=>2, 7=>2, 8=>2, 9=>3},
# {1=>1, 2=>2, 3=>3, 4=>6, 6=>1, 7=>2, 9=>2},
# {2=>4, 3=>1, 4=>2, 5=>3, 6=>1, 7=>1, 9=>3},
# {2=>1, 3=>1, 4=>2, 5=>2, 6=>2, 7=>2, 8=>3, 9=>1}]

···

On May 5, 1:06 pm, Victor Reyes <victor.re...@gmail.com> wrote:

Given a multidimensional array (9x9) I am trying to inspect each row and
each column as follows:
I can do this with some ugly looking and probably inefficient loop. However,
Ruby has so many tools and "tricks" that perhaps there might be some way of
doing this quicker and easy to understand.

Axel,

I will do so.

Thank you

Victor

···

On 5/5/08, Axel Etzold <AEtzold@gmx.de> wrote:

-------- Original-Nachricht --------
> Datum: Tue, 6 May 2008 04:06:01 +0900
> Von: "Victor Reyes" <victor.reyes@gmail.com>
> An: ruby-talk@ruby-lang.org
> Betreff: Help with array

> Team,
>
> On my never ending saga to learn Ruby, I am trying to write a program to
> solve Sudoku puzzles.
> Given a multidimensional array (9x9) I am trying to inspect each row and
> each column as follows:
>
> Assume the following represents a typical row in my 9x9 array:
>
> *Row***
>
> 23
>
> 689
>
> 7
>
> 12345689
>
> 1359
>
> 9
>
> 2468
>
> 359
>
> 235
> Row
> 23
> 689
> 7
> 12345689
> 1359
> 9
> 2468
> 359
> 235
> Row
>
> 23
>
> 689
>
> 7
>
> 12345689
>
> 1359
>
> 9
>
> 2468
>
> 359
>
> 235
>
> Row
> 23
> 689
> 7
> 12345689
> 1359
> 9
> 2468
> 359
> 235
> Furthermore, assume the following is a typical column:
>
> *Column***
>
> 23
>
> 689
>
> 7
>
> 12345689
>
> 1359
>
> 9
>
> 2468
>
> 359
>
> 235
> I would like to be able to count the frequency of each digit on either
> row
> or column, separate of course!
>
> *Number***
>
> 1
>
> 2
>
> 3
>
> 4
>
> 5
>
> 6
>
> 7
>
> 8
>
> 9
>
> *Frequency***
>
> 2
>
> 4
>
> 5
>
> 2
>
> 4
>
> 3
>
> 1
>
> 3
>
> 5
>
> I can do this with some ugly looking and probably inefficient loop.
> However,
> Ruby has so many tools and "tricks" that perhaps there might be some way
> of
> doing this quicker and easy to understand.
>
> Any help will be greatly appreciated!
>
> Thank you
>
> Victor

Dear Victor,

one nice feature of the Ruby list is its quiz contest.
You can have a look at different solution proposals for solving
Sudokus here:

http://www.rubyquiz.com/quiz43.html

Best regards,

Axel
--
Der GMX SmartSurfer hilft bis zu 70% Ihrer Onlinekosten zu sparen!
Ideal für Modem und ISDN: http://www.gmx.net/de/go/smartsurfer