Replacing elements in an array?

Hello,

This question is following on from my post 'making an array of arrays?', but as it is about replacing elements I have started a new thread.

The reply to my last arrays related post did solve one problem, so thanks very much for that!

So, I now have an @offspring array that takes copies of @board (a sudoku board) according to a population specified by the user.

The aim is to populate all empty cells in @offspring with random numbers, but for now I am just populating them with '9'.
Empty cells were represented by '")', but are now represented by '0'
Currently the population is fixed at 4, and my current code is:

     def find_empty!
     #Loop through @offspring and where ever there is "_" put a random number.
     4.times do |i|
     if @offspring[i] == 0
     then @offspring[i] = 9
     end
     #For debugging with the test puzzle
     puts @offspring.inspect
     end

When I print out offspring I expect the first element to be changed to 9, as it was originally set to 0, this is however not the case. I'm sure I'm being very dumb, but if someone could please point me in the right direction that would be great.

Note I have tried the same thing but using a for loop instead of the .times method. This gave me the same results.

Thanks in advance for any advice,
Jen.

Your method works, so maybe @offspring doesn't contain what you think.

ruby-1.8.7-p334 :001 > def find_empty!
ruby-1.8.7-p334 :002?> #Loop through @offspring and where ever
there is "_" put a random number.
ruby-1.8.7-p334 :003 > 4.times do |i|
ruby-1.8.7-p334 :004 > if @offspring[i] == 0
ruby-1.8.7-p334 :005?> then @offspring[i] = 9
ruby-1.8.7-p334 :006?> end
ruby-1.8.7-p334 :007?> #For debugging with the test puzzle
ruby-1.8.7-p334 :008 > puts @offspring.inspect
ruby-1.8.7-p334 :009?> end
ruby-1.8.7-p334 :010?> end
=> nil
ruby-1.8.7-p334 :011 > @offspring = [0,0,0,0]
=> [0, 0, 0, 0]
ruby-1.8.7-p334 :012 > find_empty!
[9, 0, 0, 0]
[9, 9, 0, 0]
[9, 9, 9, 0]
[9, 9, 9, 9]
=> 4
ruby-1.8.7-p334 :013 > @offspring
=> [9, 9, 9, 9]

Can you add the inspecting puts at the beginning of the method and
show us the result?

Jesus.

···

On Thu, Mar 17, 2011 at 5:56 PM, Jen <jen.bottom@gmail.com> wrote:

Hello,

This question is following on from my post 'making an array of arrays?', but
as it is about replacing elements I have started a new thread.

The reply to my last arrays related post did solve one problem, so thanks
very much for that!

So, I now have an @offspring array that takes copies of @board (a sudoku
board) according to a population specified by the user.

The aim is to populate all empty cells in @offspring with random numbers,
but for now I am just populating them with '9'.
Empty cells were represented by '")', but are now represented by '0'
Currently the population is fixed at 4, and my current code is:

def find_empty!
#Loop through @offspring and where ever there is "_" put a random number.
4.times do |i|
if @offspring[i] == 0
then @offspring[i] = 9
end
#For debugging with the test puzzle
puts @offspring.inspect
end

When I print out offspring I expect the first element to be changed to 9, as
it was originally set to 0, this is however not the case. I'm sure I'm being
very dumb, but if someone could please point me in the right direction that
would be great.

Note I have tried the same thing but using a for loop instead of the .times
method. This gave me the same results.

Your code should work just fine. How did you initialize the @offspring
array?

JP

···

--
Posted via http://www.ruby-forum.com/.

Hi,

I used the following code to initialize the offspring array:

     def create_pop
     #Define an offspring array that will hold the copies of the @board array
     @offspring =
     4.times{ @offspring << @board.clone }
     end

At the moment everything is in one huge class 'class Game', though I plan to have one class for game setup, and one for the evolutionary algorithm.

Cheers,
Jen.

···

On 17/03/11 17:23, JP Billaud wrote:

Your code should work just fine. How did you initialize the @offspring
array?

JP

Hello,

When I run
   puts @offspring.inspect

After populating it with copies of @board, but before attempting to replace the elements containing "_" the result is:

[[[0, 4, 5, 9, 8, 7, 6, 2, 1], [1, 9, 2, 6, 5, 4, 3, 8, 7], [8, 7, 6, 3, 2, 1, 5, 4, 9], [5, 2, 9, 8, 1, 6, 4, 7, 3], [4, 3, 1, 7, 9, 2, 8, 5, 6], [6, 8, 7, 5, 4, 3, 1, 9, 2], [2, 5, 3, 4, 6, 9, 7, 1, 8], [7, 1, 8, 2, 3, 5, 9, 6, 4], [9, 6, 4, 1, 7, 8, 2, 3, 5]], [[0, 4, 5, 9, 8, 7, 6, 2, 1], [1, 9, 2, 6, 5, 4, 3, 8, 7], [8, 7, 6, 3, 2, 1, 5, 4, 9], [5, 2, 9, 8, 1, 6, 4, 7, 3], [4, 3, 1, 7, 9, 2, 8, 5, 6], [6, 8, 7, 5, 4, 3, 1, 9, 2], [2, 5, 3, 4, 6, 9, 7, 1, 8], [7, 1, 8, 2, 3, 5, 9, 6, 4], [9, 6, 4, 1, 7, 8, 2, 3, 5]], [[0, 4, 5, 9, 8, 7, 6, 2, 1], [1, 9, 2, 6, 5, 4, 3, 8, 7], [8, 7, 6, 3, 2, 1, 5, 4, 9], [5, 2, 9, 8, 1, 6, 4, 7, 3], [4, 3, 1, 7, 9, 2, 8, 5, 6], [6, 8, 7, 5, 4, 3, 1, 9, 2], [2, 5, 3, 4, 6, 9, 7, 1, 8], [7, 1, 8, 2, 3, 5, 9, 6, 4], [9, 6, 4, 1, 7, 8, 2, 3, 5]], [[0, 4, 5, 9, 8, 7, 6, 2, 1], [1, 9, 2, 6, 5, 4, 3, 8, 7], [8, 7, 6, 3, 2, 1, 5, 4, 9], [5, 2, 9, 8, 1, 6, 4, 7, 3], [4, 3, 1, 7, 9, 2, 8, 5, 6], [6, 8, 7, 5, 4, 3, 1, 9, 2], [2, 5, 3, 4, 6, 9, 7, 1, 8], [7, 1, 8, 2, 3, 5, 9, 6, 4], [9, 6, 4, 1, 7, 8, 2, 3, 5]]]

Let me know if you want me to send the rest of my code.

Jen.

···

On 17/03/11 17:03, Jesús Gabriel y Galán wrote:

On Thu, Mar 17, 2011 at 5:56 PM, Jen<jen.bottom@gmail.com> wrote:

Hello,

This question is following on from my post 'making an array of arrays?', but
as it is about replacing elements I have started a new thread.

The reply to my last arrays related post did solve one problem, so thanks
very much for that!

So, I now have an @offspring array that takes copies of @board (a sudoku
board) according to a population specified by the user.

The aim is to populate all empty cells in @offspring with random numbers,
but for now I am just populating them with '9'.
Empty cells were represented by '")', but are now represented by '0'
Currently the population is fixed at 4, and my current code is:

    def find_empty!
    #Loop through @offspring and where ever there is "_" put a random number.
    4.times do |i|
    if @offspring[i] == 0
    then @offspring[i] = 9
    end
    #For debugging with the test puzzle
    puts @offspring.inspect
    end

When I print out offspring I expect the first element to be changed to 9, as
it was originally set to 0, this is however not the case. I'm sure I'm being
very dumb, but if someone could please point me in the right direction that
would be great.

Note I have tried the same thing but using a for loop instead of the .times
method. This gave me the same results.

Your method works, so maybe @offspring doesn't contain what you think.

ruby-1.8.7-p334 :001> def find_empty!
ruby-1.8.7-p334 :002?> #Loop through @offspring and where ever
there is "_" put a random number.
ruby-1.8.7-p334 :003> 4.times do |i|
ruby-1.8.7-p334 :004> if @offspring[i] == 0
ruby-1.8.7-p334 :005?> then @offspring[i] = 9
ruby-1.8.7-p334 :006?> end
ruby-1.8.7-p334 :007?> #For debugging with the test puzzle
ruby-1.8.7-p334 :008> puts @offspring.inspect
ruby-1.8.7-p334 :009?> end
ruby-1.8.7-p334 :010?> end
  => nil
ruby-1.8.7-p334 :011> @offspring = [0,0,0,0]
  => [0, 0, 0, 0]
ruby-1.8.7-p334 :012> find_empty!
[9, 0, 0, 0]
[9, 9, 0, 0]
[9, 9, 9, 0]
[9, 9, 9, 9]
  => 4
ruby-1.8.7-p334 :013> @offspring
  => [9, 9, 9, 9]

Can you add the inspecting puts at the beginning of the method and
show us the result?

Jesus.

So a board is an array of arrays and offspring holds three boards.

So @offspring[i] = [[row1],...,[row9]]. Waht you wanna check then is
@offspring[i][j][k] == 0
i is the board copy (from 0 to 3 in your code)
j is the row index (from 0 to 8)
k is the column index ( from 0 .. 8)

What you probably wanna do is
@offspring.each do |board_copy|
  board_copy.each |row|
    (0..8).each { |column| if row[column] == 0 then row[column] == 9 }
  end
end

···

2011/3/17 Jen <jen.bottom@gmail.com>

Hello,

When I run
puts @offspring.inspect

After populating it with copies of @board, but before attempting to replace
the elements containing "_" the result is:

[[[0, 4, 5, 9, 8, 7, 6, 2, 1], [1, 9, 2, 6, 5, 4, 3, 8, 7], [8, 7, 6, 3, 2,
1, 5, 4, 9], [5, 2, 9, 8, 1, 6, 4, 7, 3], [4, 3, 1, 7, 9, 2, 8, 5, 6], [6,
8, 7, 5, 4, 3, 1, 9, 2], [2, 5, 3, 4, 6, 9, 7, 1, 8], [7, 1, 8, 2, 3, 5, 9,
6, 4], [9, 6, 4, 1, 7, 8, 2, 3, 5]], [[0, 4, 5, 9, 8, 7, 6, 2, 1], [1, 9, 2,
6, 5, 4, 3, 8, 7], [8, 7, 6, 3, 2, 1, 5, 4, 9], [5, 2, 9, 8, 1, 6, 4, 7, 3],
[4, 3, 1, 7, 9, 2, 8, 5, 6], [6, 8, 7, 5, 4, 3, 1, 9, 2], [2, 5, 3, 4, 6, 9,
7, 1, 8], [7, 1, 8, 2, 3, 5, 9, 6, 4], [9, 6, 4, 1, 7, 8, 2, 3, 5]], [[0, 4,
5, 9, 8, 7, 6, 2, 1], [1, 9, 2, 6, 5, 4, 3, 8, 7], [8, 7, 6, 3, 2, 1, 5, 4,
9], [5, 2, 9, 8, 1, 6, 4, 7, 3], [4, 3, 1, 7, 9, 2, 8, 5, 6], [6, 8, 7, 5,
4, 3, 1, 9, 2], [2, 5, 3, 4, 6, 9, 7, 1, 8], [7, 1, 8, 2, 3, 5, 9, 6, 4],
[9, 6, 4, 1, 7, 8, 2, 3, 5]], [[0, 4, 5, 9, 8, 7, 6, 2, 1], [1, 9, 2, 6, 5,
4, 3, 8, 7], [8, 7, 6, 3, 2, 1, 5, 4, 9], [5, 2, 9, 8, 1, 6, 4, 7, 3], [4,
3, 1, 7, 9, 2, 8, 5, 6], [6, 8, 7, 5, 4, 3, 1, 9, 2], [2, 5, 3, 4, 6, 9, 7,
1, 8], [7, 1, 8, 2, 3, 5, 9, 6, 4], [9, 6, 4, 1, 7, 8, 2, 3, 5]]]

Let me know if you want me to send the rest of my code.

Jen.

On 17/03/11 17:03, Jesús Gabriel y Galán wrote:

On Thu, Mar 17, 2011 at 5:56 PM, Jen<jen.bottom@gmail.com> wrote:

Hello,

This question is following on from my post 'making an array of arrays?',
but
as it is about replacing elements I have started a new thread.

The reply to my last arrays related post did solve one problem, so thanks
very much for that!

So, I now have an @offspring array that takes copies of @board (a sudoku
board) according to a population specified by the user.

The aim is to populate all empty cells in @offspring with random numbers,
but for now I am just populating them with '9'.
Empty cells were represented by '")', but are now represented by '0'
Currently the population is fixed at 4, and my current code is:

   def find_empty!
   #Loop through @offspring and where ever there is "_" put a random
number.
   4.times do |i|
   if @offspring[i] == 0
   then @offspring[i] = 9
   end
   #For debugging with the test puzzle
   puts @offspring.inspect
   end

When I print out offspring I expect the first element to be changed to 9,
as
it was originally set to 0, this is however not the case. I'm sure I'm
being
very dumb, but if someone could please point me in the right direction
that
would be great.

Note I have tried the same thing but using a for loop instead of the
.times
method. This gave me the same results.

Your method works, so maybe @offspring doesn't contain what you think.

ruby-1.8.7-p334 :001> def find_empty!
ruby-1.8.7-p334 :002?> #Loop through @offspring and where ever
there is "_" put a random number.
ruby-1.8.7-p334 :003> 4.times do |i|
ruby-1.8.7-p334 :004> if @offspring[i] == 0
ruby-1.8.7-p334 :005?> then @offspring[i] = 9
ruby-1.8.7-p334 :006?> end
ruby-1.8.7-p334 :007?> #For debugging with the test puzzle
ruby-1.8.7-p334 :008> puts @offspring.inspect
ruby-1.8.7-p334 :009?> end
ruby-1.8.7-p334 :010?> end
=> nil
ruby-1.8.7-p334 :011> @offspring = [0,0,0,0]
=> [0, 0, 0, 0]
ruby-1.8.7-p334 :012> find_empty!
[9, 0, 0, 0]
[9, 9, 0, 0]
[9, 9, 9, 0]
[9, 9, 9, 9]
=> 4
ruby-1.8.7-p334 :013> @offspring
=> [9, 9, 9, 9]

Can you add the inspecting puts at the beginning of the method and
show us the result?

Jesus.

Hello,

When I run
puts @offspring.inspect

After populating it with copies of @board, but before attempting to replace
the elements containing "_" the result is:

[

    [[0, 4, 5, 9, 8, 7, 6, 2, 1], [1, 9, 2, 6, 5, 4, 3, 8, 7], [8, 7, 6, 3, 2,

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

    [[0, 4, 5, 9, 8, 7, 6, 2, 1], [1, 9, 2, 6, 5, 4, 3, 8, 7], [8, 7,
6, 3, 2, 1, 5, 4, 9], [5, 2, 9, 8, 1, 6, 4, 7, 3],

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

   [[0, 4, 5, 9, 8, 7, 6, 2, 1], [1, 9, 2, 6, 5, 4, 3, 8, 7], [8, 7,
6, 3, 2, 1, 5, 4,

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

    [[0, 4, 5, 9, 8, 7, 6, 2, 1], [1, 9, 2, 6, 5,

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

]

Let me know if you want me to send the rest of my code.

This is the problem. The code you showed initially was expecting a
"one-dimension" array, a flattened array,
while here you have an array that contains 4 arrays that contain 9
arrays of integers. To replace all 0s with 9s in this structure you
have to go deeper:

irb(main):001:0> @offspring = [[[0, 4, 5, 9, 8, 7, 6, 2, 1], [1, 9, 2,
6, 5, 4, 3, 8, 7], [8, 7, 6, 3, 2, 1, 5, 4, 9], [5, 2, 9, 8, 1, 6, 4,
7, 3], [4, 3, 1, 7, 9, 2, 8, 5, 6], [6, 8, 7, 5, 4, 3, 1, 9, 2], [2,
5, 3, 4, 6, 9, 7, 1, 8], [7, 1, 8, 2, 3, 5, 9, 6, 4], [9, 6, 4, 1, 7,
8, 2, 3, 5]], [[0, 4, 5, 9, 8, 7, 6, 2, 1], [1, 9, 2, 6, 5, 4, 3, 8,
7], [8, 7, 6, 3, 2, 1, 5, 4, 9], [5, 2, 9, 8, 1, 6, 4, 7, 3], [4, 3,
1, 7, 9, 2, 8, 5, 6], [6, 8, 7, 5, 4, 3, 1, 9, 2], [2, 5, 3, 4, 6, 9,
7, 1, 8], [7, 1, 8, 2, 3, 5, 9, 6, 4], [9, 6, 4, 1, 7, 8, 2, 3, 5]],
[[0, 4, 5, 9, 8, 7, 6, 2, 1], [1, 9, 2, 6, 5, 4, 3, 8, 7], [8, 7, 6,
3, 2, 1, 5, 4, 9], [5, 2, 9, 8, 1, 6, 4, 7, 3], [4, 3, 1, 7, 9, 2, 8,
5, 6], [6, 8, 7, 5, 4, 3, 1, 9, 2], [2, 5, 3, 4, 6, 9, 7, 1, 8], [7,
1, 8, 2, 3, 5, 9, 6, 4], [9, 6, 4, 1, 7, 8, 2, 3, 5]], [[0, 4, 5, 9,
8, 7, 6, 2, 1], [1, 9, 2, 6, 5, 4, 3, 8, 7], [8, 7, 6, 3, 2, 1, 5, 4,
9], [5, 2, 9, 8, 1, 6, 4, 7, 3], [4, 3, 1, 7, 9, 2, 8, 5, 6], [6, 8,
7, 5, 4, 3, 1, 9, 2], [2, 5, 3, 4, 6, 9, 7, 1, 8], [7, 1, 8, 2, 3, 5,
9, 6, 4], [9, 6, 4, 1, 7, 8, 2, 3, 5]]]
=> [[[0, 4, 5, 9, 8, 7, 6, 2, 1], [1, 9, 2, 6, 5, 4, 3, 8, 7], [8, 7,
6, 3, 2, 1, 5, 4, 9], [5, 2, 9, 8, 1, 6, 4, 7, 3], [4, 3, 1, 7, 9, 2,
8, 5, 6], [6, 8, 7, 5, 4, 3, 1, 9, 2], [2, 5, 3, 4, 6, 9, 7, 1, 8],
[7, 1, 8, 2, 3, 5, 9, 6, 4], [9, 6, 4, 1, 7, 8, 2, 3, 5]], [[0, 4, 5,
9, 8, 7, 6, 2, 1], [1, 9, 2, 6, 5, 4, 3, 8, 7], [8, 7, 6, 3, 2, 1, 5,
4, 9], [5, 2, 9, 8, 1, 6, 4, 7, 3], [4, 3, 1, 7, 9, 2, 8, 5, 6], [6,
8, 7, 5, 4, 3, 1, 9, 2], [2, 5, 3, 4, 6, 9, 7, 1, 8], [7, 1, 8, 2, 3,
5, 9, 6, 4], [9, 6, 4, 1, 7, 8, 2, 3, 5]], [[0, 4, 5, 9, 8, 7, 6, 2,
1], [1, 9, 2, 6, 5, 4, 3, 8, 7], [8, 7, 6, 3, 2, 1, 5, 4, 9], [5, 2,
9, 8, 1, 6, 4, 7, 3], [4, 3, 1, 7, 9, 2, 8, 5, 6], [6, 8, 7, 5, 4, 3,
1, 9, 2], [2, 5, 3, 4, 6, 9, 7, 1, 8], [7, 1, 8, 2, 3, 5, 9, 6, 4],
[9, 6, 4, 1, 7, 8, 2, 3, 5]], [[0, 4, 5, 9, 8, 7, 6, 2, 1], [1, 9, 2,
6, 5, 4, 3, 8, 7], [8, 7, 6, 3, 2, 1, 5, 4, 9], [5, 2, 9, 8, 1, 6, 4,
7, 3], [4, 3, 1, 7, 9, 2, 8, 5, 6], [6, 8, 7, 5, 4, 3, 1, 9, 2], [2,
5, 3, 4, 6, 9, 7, 1, 8], [7, 1, 8, 2, 3, 5, 9, 6, 4], [9, 6, 4, 1, 7,
8, 2, 3, 5]]]
irb(main):002:0> def find_empty!
irb(main):003:1> @offspring.each do |board|
irb(main):004:2* board.each do |row|
irb(main):005:3* row.map! {|x| x == 0 ? 9 : x}
irb(main):006:3> end
irb(main):007:2> end
irb(main):008:1> end
=> nil
irb(main):009:0> find_empty!
=> [[[9, 4, 5, 9, 8, 7, 6, 2, 1], [1, 9, 2, 6, 5, 4, 3, 8, 7], [8, 7,
6, 3, 2, 1, 5, 4, 9], [5, 2, 9, 8, 1, 6, 4, 7, 3], [4, 3, 1, 7, 9, 2,
8, 5, 6], [6, 8, 7, 5, 4, 3, 1, 9, 2], [2, 5, 3, 4, 6, 9, 7, 1, 8],
[7, 1, 8, 2, 3, 5, 9, 6, 4], [9, 6, 4, 1, 7, 8, 2, 3, 5]], [[9, 4, 5,
9, 8, 7, 6, 2, 1], [1, 9, 2, 6, 5, 4, 3, 8, 7], [8, 7, 6, 3, 2, 1, 5,
4, 9], [5, 2, 9, 8, 1, 6, 4, 7, 3], [4, 3, 1, 7, 9, 2, 8, 5, 6], [6,
8, 7, 5, 4, 3, 1, 9, 2], [2, 5, 3, 4, 6, 9, 7, 1, 8], [7, 1, 8, 2, 3,
5, 9, 6, 4], [9, 6, 4, 1, 7, 8, 2, 3, 5]], [[9, 4, 5, 9, 8, 7, 6, 2,
1], [1, 9, 2, 6, 5, 4, 3, 8, 7], [8, 7, 6, 3, 2, 1, 5, 4, 9], [5, 2,
9, 8, 1, 6, 4, 7, 3], [4, 3, 1, 7, 9, 2, 8, 5, 6], [6, 8, 7, 5, 4, 3,
1, 9, 2], [2, 5, 3, 4, 6, 9, 7, 1, 8], [7, 1, 8, 2, 3, 5, 9, 6, 4],
[9, 6, 4, 1, 7, 8, 2, 3, 5]], [[9, 4, 5, 9, 8, 7, 6, 2, 1], [1, 9, 2,
6, 5, 4, 3, 8, 7], [8, 7, 6, 3, 2, 1, 5, 4, 9], [5, 2, 9, 8, 1, 6, 4,
7, 3], [4, 3, 1, 7, 9, 2, 8, 5, 6], [6, 8, 7, 5, 4, 3, 1, 9, 2], [2,
5, 3, 4, 6, 9, 7, 1, 8], [7, 1, 8, 2, 3, 5, 9, 6, 4], [9, 6, 4, 1, 7,
8, 2, 3, 5]]]
irb(main):010:0> @offspring
=> [[[9, 4, 5, 9, 8, 7, 6, 2, 1], [1, 9, 2, 6, 5, 4, 3, 8, 7], [8, 7,
6, 3, 2, 1, 5, 4, 9], [5, 2, 9, 8, 1, 6, 4, 7, 3], [4, 3, 1, 7, 9, 2,
8, 5, 6], [6, 8, 7, 5, 4, 3, 1, 9, 2], [2, 5, 3, 4, 6, 9, 7, 1, 8],
[7, 1, 8, 2, 3, 5, 9, 6, 4], [9, 6, 4, 1, 7, 8, 2, 3, 5]], [[9, 4, 5,
9, 8, 7, 6, 2, 1], [1, 9, 2, 6, 5, 4, 3, 8, 7], [8, 7, 6, 3, 2, 1, 5,
4, 9], [5, 2, 9, 8, 1, 6, 4, 7, 3], [4, 3, 1, 7, 9, 2, 8, 5, 6], [6,
8, 7, 5, 4, 3, 1, 9, 2], [2, 5, 3, 4, 6, 9, 7, 1, 8], [7, 1, 8, 2, 3,
5, 9, 6, 4], [9, 6, 4, 1, 7, 8, 2, 3, 5]], [[9, 4, 5, 9, 8, 7, 6, 2,
1], [1, 9, 2, 6, 5, 4, 3, 8, 7], [8, 7, 6, 3, 2, 1, 5, 4, 9], [5, 2,
9, 8, 1, 6, 4, 7, 3], [4, 3, 1, 7, 9, 2, 8, 5, 6], [6, 8, 7, 5, 4, 3,
1, 9, 2], [2, 5, 3, 4, 6, 9, 7, 1, 8], [7, 1, 8, 2, 3, 5, 9, 6, 4],
[9, 6, 4, 1, 7, 8, 2, 3, 5]], [[9, 4, 5, 9, 8, 7, 6, 2, 1], [1, 9, 2,
6, 5, 4, 3, 8, 7], [8, 7, 6, 3, 2, 1, 5, 4, 9], [5, 2, 9, 8, 1, 6, 4,
7, 3], [4, 3, 1, 7, 9, 2, 8, 5, 6], [6, 8, 7, 5, 4, 3, 1, 9, 2], [2,
5, 3, 4, 6, 9, 7, 1, 8], [7, 1, 8, 2, 3, 5, 9, 6, 4], [9, 6, 4, 1, 7,
8, 2, 3, 5]]]

Jesus.

···

On Thu, Mar 17, 2011 at 10:45 PM, Jen <jen.bottom@gmail.com> wrote:

Thanks to everyone who posted for the advice.
I'll test the solutions out ASAP.

Thanks again,
Jen.