Recursive help
Moderator: General Moderators
-
cocenpt2008
- Forum Newbie
- Posts: 6
- Joined: Sun May 16, 2010 1:00 pm
Recursive help
i have been trying to figure this out for a day now.
i used to have a great example of this but i cannot find it anywhere. i have tried to recreate this but for some reason i cannot.
i need a recursive number generator. i cannot have it random.
I need to be able to set the amount of numbers 2-20 and i want to be able to set the range of the numbers 1-115
this is really stupid i know but i cannot figure this out for the life of me in a nice clean few lines of code like i used to have.
thanks
i used to have a great example of this but i cannot find it anywhere. i have tried to recreate this but for some reason i cannot.
i need a recursive number generator. i cannot have it random.
I need to be able to set the amount of numbers 2-20 and i want to be able to set the range of the numbers 1-115
this is really stupid i know but i cannot figure this out for the life of me in a nice clean few lines of code like i used to have.
thanks
Re: Recursive help
So if it's not random, how does it choose which numbers to pick?
-
cocenpt2008
- Forum Newbie
- Posts: 6
- Joined: Sun May 16, 2010 1:00 pm
Re: Recursive help
well i want it to go in a recursive order
for example i would like the output to be something like this
1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 2
1 1 1 1 1 1 1 1 3
1 1 1 1 1 1 1 1 4
1 1 1 1 1 1 1 2 1
1 1 1 1 1 1 1 2 2
1 1 1 1 1 1 1 2 3
1 1 1 1 1 1 1 2 4
basically i would like it to work something like that so the code recursively changed all the numbers so that every possible number combination is generated
9 total numbers for this example.
each number can be a range from 1-115 but for this example i used 1-4
for example i would like the output to be something like this
1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 2
1 1 1 1 1 1 1 1 3
1 1 1 1 1 1 1 1 4
1 1 1 1 1 1 1 2 1
1 1 1 1 1 1 1 2 2
1 1 1 1 1 1 1 2 3
1 1 1 1 1 1 1 2 4
basically i would like it to work something like that so the code recursively changed all the numbers so that every possible number combination is generated
9 total numbers for this example.
each number can be a range from 1-115 but for this example i used 1-4
- AbraCadaver
- DevNet Master
- Posts: 2572
- Joined: Mon Feb 24, 2003 10:12 am
- Location: The Republic of Texas
- Contact:
Re: Recursive help
And the practical application for this function would be what, homework? 
mysql_function(): WARNING: This extension is deprecated as of PHP 5.5.0, and will be removed in the future. Instead, the MySQLi or PDO_MySQLextension should be used. See also MySQL: choosing an API guide and related FAQ for more information.
-
cocenpt2008
- Forum Newbie
- Posts: 6
- Joined: Sun May 16, 2010 1:00 pm
Re: Recursive help
lol no i am 28 school is a long way back in my book of life which is a very short and non interesting read.
and if i told you the reason i want this is that would spoil the project but i will tell you what it is not for it is not for homework or password cracking or anything like that. i am actually using this for statistics research. and to fully to this i need to make every possible number chain. and then run it through a statistics algo of my own creation.
and if i told you the reason i want this is that would spoil the project but i will tell you what it is not for it is not for homework or password cracking or anything like that. i am actually using this for statistics research. and to fully to this i need to make every possible number chain. and then run it through a statistics algo of my own creation.
Re: Recursive help
If you are familiar with recursive formulas from basic algebra, it shouldn't be difficult. This is more a math problem than a programming problem.
http://mathworld.wolfram.com/RecursiveSequence.html
http://mathworld.wolfram.com/RecursiveSequence.html
Re: Recursive help
You do know you'll run out of memory very quickly, right? At four bytes per number, 9 numbers from 1-9 is almost 13GB, and that doesn't count the memory PHP needs to remember all 387 million arrays...
20 numbers from 1-115 is about 7.01 * 10^34 gigabytes in 1.64 * 10^41 arrays. They don't even have prefixes for numbers that large...
20 numbers from 1-115 is about 7.01 * 10^34 gigabytes in 1.64 * 10^41 arrays. They don't even have prefixes for numbers that large...
-
cocenpt2008
- Forum Newbie
- Posts: 6
- Joined: Sun May 16, 2010 1:00 pm
Re: Recursive help
i was not going to store everything for the entire scope of all iterations.
if i simply output all possibilities and run each one as its created through my statistical formula save the results if they are better then the last and move on.
so really only a little bit of memory is allocated as long as all results are processed and cleared before the next one is created
if i simply output all possibilities and run each one as its created through my statistical formula save the results if they are better then the last and move on.
so really only a little bit of memory is allocated as long as all results are processed and cleared before the next one is created
Re: Recursive help
Ah, just outputting. Good.
You only need one function, but it has to know how many numbers to print, the range for those numbers, and the sequence of numbers up to that point.
Looping from the bottom to the top of the range, it adds the number onto a copy of that old sequence and (a) if it's the last in the sequence (no more to print after this) it prints the whole sequence and stops, otherwise (b) it calls itself recursively but with one less number to generate and the modified sequence copy instead of the original.
You only need one function, but it has to know how many numbers to print, the range for those numbers, and the sequence of numbers up to that point.
Looping from the bottom to the top of the range, it adds the number onto a copy of that old sequence and (a) if it's the last in the sequence (no more to print after this) it prints the whole sequence and stops, otherwise (b) it calls itself recursively but with one less number to generate and the modified sequence copy instead of the original.
-
cocenpt2008
- Forum Newbie
- Posts: 6
- Joined: Sun May 16, 2010 1:00 pm
Re: Recursive help
i kinda understand what you mean and i came up with this but its all wrong and i know it,
the output is all wrong i am missing something here and i know my logic is not correct.
thanks for any help
Code: Select all
<?php
donumbers("",5);
function donumbers($base,$level){
echo $base;
for($y=0;$y<$level;$y++){
$alpha[$y] = $y;
}
if ($level>0){
for ($x=0;$x<6;$x++){
print_r($alpha);
echo "<br>";
donumbers($alpha[$x],$level - 1);
}
}
}
?>thanks for any help
Re: Recursive help
A little nudge in the right direction?
Code: Select all
function donumbers(howmany, low, high, sofar = array())
for i between low and high
sofar_copy = sofar
sofar_copy[] = i
if howmany = 1 then // last one
print sofar_copy
else
donumbers(howmany - 1, low, high, sofar_copy)
end if
end for
end function-
cocenpt2008
- Forum Newbie
- Posts: 6
- Joined: Sun May 16, 2010 1:00 pm
Re: Recursive help
Thank you so much for your help. you have got me a great deal further then i was before but after putting the code you created i came up with some problems i might have screwed up somewhere along the way.
here is what i got
here is some output from the script and as you can see its not hitting every possible number combination as you can see it fails right from the start and never generates the sequence
1 1 1
Array ( [0] => 0 [1] => 1 [2] => 2 )
Array ( [0] => 0 [1] => 1 [3] => 3 )
Array ( [0] => 0 [2] => 2 [1] => 1 )
Array ( [0] => 0 [2] => 2 [3] => 3 )
Array ( [0] => 0 [3] => 3 [1] => 1 )
Array ( [0] => 0 [3] => 3 [2] => 2 )
Array ( [0] => 0 [1] => 1 [2] => 2 )
Array ( [0] => 0 [1] => 1 [3] => 3 )
Array ( [0] => 0 [1] => 1 [2] => 2 )
Array ( [0] => 0 [1] => 1 [3] => 3 )
Array ( [0] => 0 [1] => 1 [2] => 2 )
Array ( [0] => 0 [1] => 1 [2] => 2 )
Array ( [0] => 0 [1] => 1 [2] => 2 )
Array ( [0] => 0 [1] => 1 [3] => 3 )
Array ( [0] => 0 [1] => 1 [3] => 3 )
Array ( [0] => 0 [1] => 1 [3] => 3 )
Array ( [0] => 0 [2] => 2 [1] => 1 )
Array ( [0] => 0 [2] => 2 [3] => 3 )
Array ( [0] => 0 [2] => 2 [1] => 1 )
Array ( [0] => 0 [2] => 2 [1] => 1 )
Array ( [0] => 0 [2] => 2 [1] => 1 )
Array ( [0] => 0 [2] => 2 [1] => 1 )
Array ( [0] => 0 [2] => 2 [3] => 3 )
Array ( [0] => 0 [2] => 2 [3] => 3 )
Array ( [0] => 0 [2] => 2 [3] => 3 )
Array ( [0] => 0 [2] => 2 [3] => 3 )
Array ( [0] => 0 [3] => 3 [1] => 1 )
Array ( [0] => 0 [3] => 3 [2] => 2 )
Array ( [0] => 0 [3] => 3 [1] => 1 )
Array ( [0] => 0 [3] => 3 [1] => 1 )
Array ( [0] => 0 [3] => 3 [1] => 1 )
Array ( [0] => 0 [3] => 3 [2] => 2 )
Array ( [0] => 0 [3] => 3 [2] => 2 )
Array ( [0] => 0 [3] => 3 [2] => 2 )
Array ( [0] => 0 [3] => 3 [1] => 1 )
Array ( [0] => 0 [3] => 3 [2] => 2 )
Array ( [1] => 1 [0] => 0 [2] => 2 )
Array ( [1] => 1 [0] => 0 [3] => 3 )
Array ( [1] => 1 [0] => 0 [2] => 2 )
Array ( [1] => 1 [0] => 0 [3] => 3 )
Array ( [1] => 1 [0] => 0 [2] => 2 )
Array ( [1] => 1 [0] => 0 [2] => 2 )
Array ( [1] => 1 [0] => 0 [2] => 2 )
Array ( [1] => 1 [0] => 0 [3] => 3 )
Array ( [1] => 1 [0] => 0 [3] => 3 )
Array ( [1] => 1 [0] => 0 [3] => 3 )
Array ( [1] => 1 [0] => 0 [2] => 2 )
Array ( [1] => 1 [0] => 0 [3] => 3 )
Array ( [1] => 1 [2] => 2 [0] => 0 )
Array ( [1] => 1 [2] => 2 [3] => 3 )
Array ( [1] => 1 [3] => 3 [0] => 0 )
Array ( [1] => 1 [3] => 3 [2] => 2 )
Array ( [1] => 1 [2] => 2 [0] => 0 )
Array ( [1] => 1 [2] => 2 [0] => 0 )
Array ( [1] => 1 [2] => 2 [0] => 0 )
Array ( [1] => 1 [2] => 2 [0] => 0 )
Array ( [1] => 1 [2] => 2 [3] => 3 )
Array ( [1] => 1 [2] => 2 [0] => 0 )
Array ( [1] => 1 [2] => 2 [3] => 3 )
Array ( [1] => 1 [2] => 2 [3] => 3 )
Array ( [1] => 1 [2] => 2 [3] => 3 )
Array ( [1] => 1 [2] => 2 [3] => 3 )
Array ( [1] => 1 [3] => 3 [0] => 0 )
Array ( [1] => 1 [3] => 3 [0] => 0 )
Array ( [1] => 1 [3] => 3 [0] => 0 )
Array ( [1] => 1 [3] => 3 [0] => 0 )
Array ( [1] => 1 [3] => 3 [2] => 2 )
Array ( [1] => 1 [3] => 3 [2] => 2 )
Array ( [1] => 1 [3] => 3 [2] => 2 )
Array ( [1] => 1 [3] => 3 [2] => 2 )
Array ( [1] => 1 [3] => 3 [0] => 0 )
Array ( [1] => 1 [3] => 3 [2] => 2 )
Array ( [2] => 2 [0] => 0 [1] => 1 )
Array ( [2] => 2 [0] => 0 [3] => 3 )
Array ( [2] => 2 [0] => 0 [1] => 1 )
Array ( [2] => 2 [0] => 0 [1] => 1 )
Array ( [2] => 2 [0] => 0 [1] => 1 )
Array ( [2] => 2 [0] => 0 [1] => 1 )
Array ( [2] => 2 [0] => 0 [3] => 3 )
Array ( [2] => 2 [0] => 0 [3] => 3 )
Array ( [2] => 2 [0] => 0 [3] => 3 )
Array ( [2] => 2 [0] => 0 [3] => 3 )
Array ( [2] => 2 [1] => 1 [0] => 0 )
Array ( [2] => 2 [1] => 1 [0] => 0 )
Array ( [2] => 2 [1] => 1 [0] => 0 )
Array ( [2] => 2 [1] => 1 [0] => 0 )
Array ( [2] => 2 [1] => 1 [3] => 3 )
Array ( [2] => 2 [1] => 1 [0] => 0 )
Array ( [2] => 2 [1] => 1 [3] => 3 )
Array ( [2] => 2 [1] => 1 [3] => 3 )
Array ( [2] => 2 [1] => 1 [3] => 3 )
Array ( [2] => 2 [1] => 1 [3] => 3 )
Array ( [2] => 2 [0] => 0 [1] => 1 )
Array ( [2] => 2 [0] => 0 [3] => 3 )
Array ( [2] => 2 [1] => 1 [0] => 0 )
Array ( [2] => 2 [1] => 1 [3] => 3 )
Array ( [2] => 2 [3] => 3 [0] => 0 )
Array ( [2] => 2 [3] => 3 [1] => 1 )
Array ( [2] => 2 [3] => 3 [0] => 0 )
Array ( [2] => 2 [3] => 3 [0] => 0 )
Array ( [2] => 2 [3] => 3 [0] => 0 )
Array ( [2] => 2 [3] => 3 [1] => 1 )
Array ( [2] => 2 [3] => 3 [1] => 1 )
Array ( [2] => 2 [3] => 3 [1] => 1 )
Array ( [2] => 2 [3] => 3 [0] => 0 )
Array ( [2] => 2 [3] => 3 [1] => 1 )
Array ( [2] => 2 [3] => 3 [0] => 0 )
Array ( [2] => 2 [3] => 3 [1] => 1 )
Array ( [3] => 3 [0] => 0 [1] => 1 )
Array ( [3] => 3 [0] => 0 [2] => 2 )
Array ( [3] => 3 [0] => 0 [1] => 1 )
Array ( [3] => 3 [0] => 0 [1] => 1 )
Array ( [3] => 3 [0] => 0 [1] => 1 )
Array ( [3] => 3 [0] => 0 [2] => 2 )
Array ( [3] => 3 [0] => 0 [2] => 2 )
Array ( [3] => 3 [0] => 0 [2] => 2 )
Array ( [3] => 3 [0] => 0 [1] => 1 )
Array ( [3] => 3 [0] => 0 [2] => 2 )
Array ( [3] => 3 [1] => 1 [0] => 0 )
Array ( [3] => 3 [1] => 1 [0] => 0 )
Array ( [3] => 3 [1] => 1 [0] => 0 )
Array ( [3] => 3 [1] => 1 [0] => 0 )
Array ( [3] => 3 [1] => 1 [2] => 2 )
Array ( [3] => 3 [1] => 1 [2] => 2 )
Array ( [3] => 3 [1] => 1 [2] => 2 )
Array ( [3] => 3 [1] => 1 [2] => 2 )
Array ( [3] => 3 [1] => 1 [0] => 0 )
Array ( [3] => 3 [1] => 1 [2] => 2 )
Array ( [3] => 3 [2] => 2 [0] => 0 )
Array ( [3] => 3 [2] => 2 [0] => 0 )
Array ( [3] => 3 [2] => 2 [0] => 0 )
Array ( [3] => 3 [2] => 2 [1] => 1 )
Array ( [3] => 3 [2] => 2 [1] => 1 )
Array ( [3] => 3 [2] => 2 [1] => 1 )
Array ( [3] => 3 [2] => 2 [0] => 0 )
Array ( [3] => 3 [2] => 2 [1] => 1 )
Array ( [3] => 3 [2] => 2 [0] => 0 )
Array ( [3] => 3 [2] => 2 [1] => 1 )
Array ( [3] => 3 [0] => 0 [1] => 1 )
Array ( [3] => 3 [0] => 0 [2] => 2 )
Array ( [3] => 3 [1] => 1 [0] => 0 )
Array ( [3] => 3 [1] => 1 [2] => 2 )
Array ( [3] => 3 [2] => 2 [0] => 0 )
Array ( [3] => 3 [2] => 2 [1] => 1 )
here is what i got
Code: Select all
donumbers(3,1,3,$sofar);
function donumbers($howmany, $low, $high, $sofar){
$n=0;
for($i=0;$i>=$low,$i<=$high;$i++){
$sofar_copy = $sofar;
$sofar_copy[$n] = $i;
$n++;
if ($howmany == 0){
$count = count($sofar_copy);
if($count == 3){
print_r($sofar_copy);
echo "<br>";
}// end if count statment
}else{
donumbers($howmany - 1, $low, $high , $sofar_copy);
}// end if howmany == 0 including else statment
}// end for statment
}// end function1 1 1
Array ( [0] => 0 [1] => 1 [2] => 2 )
Array ( [0] => 0 [1] => 1 [3] => 3 )
Array ( [0] => 0 [2] => 2 [1] => 1 )
Array ( [0] => 0 [2] => 2 [3] => 3 )
Array ( [0] => 0 [3] => 3 [1] => 1 )
Array ( [0] => 0 [3] => 3 [2] => 2 )
Array ( [0] => 0 [1] => 1 [2] => 2 )
Array ( [0] => 0 [1] => 1 [3] => 3 )
Array ( [0] => 0 [1] => 1 [2] => 2 )
Array ( [0] => 0 [1] => 1 [3] => 3 )
Array ( [0] => 0 [1] => 1 [2] => 2 )
Array ( [0] => 0 [1] => 1 [2] => 2 )
Array ( [0] => 0 [1] => 1 [2] => 2 )
Array ( [0] => 0 [1] => 1 [3] => 3 )
Array ( [0] => 0 [1] => 1 [3] => 3 )
Array ( [0] => 0 [1] => 1 [3] => 3 )
Array ( [0] => 0 [2] => 2 [1] => 1 )
Array ( [0] => 0 [2] => 2 [3] => 3 )
Array ( [0] => 0 [2] => 2 [1] => 1 )
Array ( [0] => 0 [2] => 2 [1] => 1 )
Array ( [0] => 0 [2] => 2 [1] => 1 )
Array ( [0] => 0 [2] => 2 [1] => 1 )
Array ( [0] => 0 [2] => 2 [3] => 3 )
Array ( [0] => 0 [2] => 2 [3] => 3 )
Array ( [0] => 0 [2] => 2 [3] => 3 )
Array ( [0] => 0 [2] => 2 [3] => 3 )
Array ( [0] => 0 [3] => 3 [1] => 1 )
Array ( [0] => 0 [3] => 3 [2] => 2 )
Array ( [0] => 0 [3] => 3 [1] => 1 )
Array ( [0] => 0 [3] => 3 [1] => 1 )
Array ( [0] => 0 [3] => 3 [1] => 1 )
Array ( [0] => 0 [3] => 3 [2] => 2 )
Array ( [0] => 0 [3] => 3 [2] => 2 )
Array ( [0] => 0 [3] => 3 [2] => 2 )
Array ( [0] => 0 [3] => 3 [1] => 1 )
Array ( [0] => 0 [3] => 3 [2] => 2 )
Array ( [1] => 1 [0] => 0 [2] => 2 )
Array ( [1] => 1 [0] => 0 [3] => 3 )
Array ( [1] => 1 [0] => 0 [2] => 2 )
Array ( [1] => 1 [0] => 0 [3] => 3 )
Array ( [1] => 1 [0] => 0 [2] => 2 )
Array ( [1] => 1 [0] => 0 [2] => 2 )
Array ( [1] => 1 [0] => 0 [2] => 2 )
Array ( [1] => 1 [0] => 0 [3] => 3 )
Array ( [1] => 1 [0] => 0 [3] => 3 )
Array ( [1] => 1 [0] => 0 [3] => 3 )
Array ( [1] => 1 [0] => 0 [2] => 2 )
Array ( [1] => 1 [0] => 0 [3] => 3 )
Array ( [1] => 1 [2] => 2 [0] => 0 )
Array ( [1] => 1 [2] => 2 [3] => 3 )
Array ( [1] => 1 [3] => 3 [0] => 0 )
Array ( [1] => 1 [3] => 3 [2] => 2 )
Array ( [1] => 1 [2] => 2 [0] => 0 )
Array ( [1] => 1 [2] => 2 [0] => 0 )
Array ( [1] => 1 [2] => 2 [0] => 0 )
Array ( [1] => 1 [2] => 2 [0] => 0 )
Array ( [1] => 1 [2] => 2 [3] => 3 )
Array ( [1] => 1 [2] => 2 [0] => 0 )
Array ( [1] => 1 [2] => 2 [3] => 3 )
Array ( [1] => 1 [2] => 2 [3] => 3 )
Array ( [1] => 1 [2] => 2 [3] => 3 )
Array ( [1] => 1 [2] => 2 [3] => 3 )
Array ( [1] => 1 [3] => 3 [0] => 0 )
Array ( [1] => 1 [3] => 3 [0] => 0 )
Array ( [1] => 1 [3] => 3 [0] => 0 )
Array ( [1] => 1 [3] => 3 [0] => 0 )
Array ( [1] => 1 [3] => 3 [2] => 2 )
Array ( [1] => 1 [3] => 3 [2] => 2 )
Array ( [1] => 1 [3] => 3 [2] => 2 )
Array ( [1] => 1 [3] => 3 [2] => 2 )
Array ( [1] => 1 [3] => 3 [0] => 0 )
Array ( [1] => 1 [3] => 3 [2] => 2 )
Array ( [2] => 2 [0] => 0 [1] => 1 )
Array ( [2] => 2 [0] => 0 [3] => 3 )
Array ( [2] => 2 [0] => 0 [1] => 1 )
Array ( [2] => 2 [0] => 0 [1] => 1 )
Array ( [2] => 2 [0] => 0 [1] => 1 )
Array ( [2] => 2 [0] => 0 [1] => 1 )
Array ( [2] => 2 [0] => 0 [3] => 3 )
Array ( [2] => 2 [0] => 0 [3] => 3 )
Array ( [2] => 2 [0] => 0 [3] => 3 )
Array ( [2] => 2 [0] => 0 [3] => 3 )
Array ( [2] => 2 [1] => 1 [0] => 0 )
Array ( [2] => 2 [1] => 1 [0] => 0 )
Array ( [2] => 2 [1] => 1 [0] => 0 )
Array ( [2] => 2 [1] => 1 [0] => 0 )
Array ( [2] => 2 [1] => 1 [3] => 3 )
Array ( [2] => 2 [1] => 1 [0] => 0 )
Array ( [2] => 2 [1] => 1 [3] => 3 )
Array ( [2] => 2 [1] => 1 [3] => 3 )
Array ( [2] => 2 [1] => 1 [3] => 3 )
Array ( [2] => 2 [1] => 1 [3] => 3 )
Array ( [2] => 2 [0] => 0 [1] => 1 )
Array ( [2] => 2 [0] => 0 [3] => 3 )
Array ( [2] => 2 [1] => 1 [0] => 0 )
Array ( [2] => 2 [1] => 1 [3] => 3 )
Array ( [2] => 2 [3] => 3 [0] => 0 )
Array ( [2] => 2 [3] => 3 [1] => 1 )
Array ( [2] => 2 [3] => 3 [0] => 0 )
Array ( [2] => 2 [3] => 3 [0] => 0 )
Array ( [2] => 2 [3] => 3 [0] => 0 )
Array ( [2] => 2 [3] => 3 [1] => 1 )
Array ( [2] => 2 [3] => 3 [1] => 1 )
Array ( [2] => 2 [3] => 3 [1] => 1 )
Array ( [2] => 2 [3] => 3 [0] => 0 )
Array ( [2] => 2 [3] => 3 [1] => 1 )
Array ( [2] => 2 [3] => 3 [0] => 0 )
Array ( [2] => 2 [3] => 3 [1] => 1 )
Array ( [3] => 3 [0] => 0 [1] => 1 )
Array ( [3] => 3 [0] => 0 [2] => 2 )
Array ( [3] => 3 [0] => 0 [1] => 1 )
Array ( [3] => 3 [0] => 0 [1] => 1 )
Array ( [3] => 3 [0] => 0 [1] => 1 )
Array ( [3] => 3 [0] => 0 [2] => 2 )
Array ( [3] => 3 [0] => 0 [2] => 2 )
Array ( [3] => 3 [0] => 0 [2] => 2 )
Array ( [3] => 3 [0] => 0 [1] => 1 )
Array ( [3] => 3 [0] => 0 [2] => 2 )
Array ( [3] => 3 [1] => 1 [0] => 0 )
Array ( [3] => 3 [1] => 1 [0] => 0 )
Array ( [3] => 3 [1] => 1 [0] => 0 )
Array ( [3] => 3 [1] => 1 [0] => 0 )
Array ( [3] => 3 [1] => 1 [2] => 2 )
Array ( [3] => 3 [1] => 1 [2] => 2 )
Array ( [3] => 3 [1] => 1 [2] => 2 )
Array ( [3] => 3 [1] => 1 [2] => 2 )
Array ( [3] => 3 [1] => 1 [0] => 0 )
Array ( [3] => 3 [1] => 1 [2] => 2 )
Array ( [3] => 3 [2] => 2 [0] => 0 )
Array ( [3] => 3 [2] => 2 [0] => 0 )
Array ( [3] => 3 [2] => 2 [0] => 0 )
Array ( [3] => 3 [2] => 2 [1] => 1 )
Array ( [3] => 3 [2] => 2 [1] => 1 )
Array ( [3] => 3 [2] => 2 [1] => 1 )
Array ( [3] => 3 [2] => 2 [0] => 0 )
Array ( [3] => 3 [2] => 2 [1] => 1 )
Array ( [3] => 3 [2] => 2 [0] => 0 )
Array ( [3] => 3 [2] => 2 [1] => 1 )
Array ( [3] => 3 [0] => 0 [1] => 1 )
Array ( [3] => 3 [0] => 0 [2] => 2 )
Array ( [3] => 3 [1] => 1 [0] => 0 )
Array ( [3] => 3 [1] => 1 [2] => 2 )
Array ( [3] => 3 [2] => 2 [0] => 0 )
Array ( [3] => 3 [2] => 2 [1] => 1 )