What's the algorithm to determine whether a string is magic or not?












-1












$begingroup$


A string is said to be magic string if




  • It consists of only digits

  • Its digit form 8 unique numbers between 1 and 80

  • All digits must be used

  • Digits must be used in order

  • No two numbers should not use same digit in the string



I'd like to know if there exists procedures or algorithms to generate magic strings from a given input, or to check if a string is magic (a valid output).




Example 1:



Input: 12345678



Output: 1 2 3 4 5 6 7 8



Example 2:



Input: 493853289475554



Output: 49 38 53 28 9 47 55 54 (only 1 possible)



Example 3:



Input: 493853287475554



Possible Outputs:




  • 49 38 53 28 7 47 55 54

  • 49 38 53 28 74 7 55 54

  • 49 38 53 28 74 75 5 54

  • 49 38 53 28 74 75 55 4










share|cite|improve this question











$endgroup$








  • 1




    $begingroup$
    Please can you try to edit this into something more like the layout you meant? Leave a blank line between paragraphs, put two spaces at the end of a line to get a new line. For anybody else to edit it they need to guess the meaning, so they can't do it.
    $endgroup$
    – timtfj
    Jan 7 at 19:34












  • $begingroup$
    But if you can get the one breaks sorted out, that might let someone else edit it seine more. Also what does "no two numbers should not use the same digit" mean?
    $endgroup$
    – timtfj
    Jan 7 at 19:37










  • $begingroup$
    That is.. After using 2 digits consecutively you should go to third one.. Or if use only 1 digit you should go to next digit
    $endgroup$
    – user632545
    Jan 8 at 0:58
















-1












$begingroup$


A string is said to be magic string if




  • It consists of only digits

  • Its digit form 8 unique numbers between 1 and 80

  • All digits must be used

  • Digits must be used in order

  • No two numbers should not use same digit in the string



I'd like to know if there exists procedures or algorithms to generate magic strings from a given input, or to check if a string is magic (a valid output).




Example 1:



Input: 12345678



Output: 1 2 3 4 5 6 7 8



Example 2:



Input: 493853289475554



Output: 49 38 53 28 9 47 55 54 (only 1 possible)



Example 3:



Input: 493853287475554



Possible Outputs:




  • 49 38 53 28 7 47 55 54

  • 49 38 53 28 74 7 55 54

  • 49 38 53 28 74 75 5 54

  • 49 38 53 28 74 75 55 4










share|cite|improve this question











$endgroup$








  • 1




    $begingroup$
    Please can you try to edit this into something more like the layout you meant? Leave a blank line between paragraphs, put two spaces at the end of a line to get a new line. For anybody else to edit it they need to guess the meaning, so they can't do it.
    $endgroup$
    – timtfj
    Jan 7 at 19:34












  • $begingroup$
    But if you can get the one breaks sorted out, that might let someone else edit it seine more. Also what does "no two numbers should not use the same digit" mean?
    $endgroup$
    – timtfj
    Jan 7 at 19:37










  • $begingroup$
    That is.. After using 2 digits consecutively you should go to third one.. Or if use only 1 digit you should go to next digit
    $endgroup$
    – user632545
    Jan 8 at 0:58














-1












-1








-1





$begingroup$


A string is said to be magic string if




  • It consists of only digits

  • Its digit form 8 unique numbers between 1 and 80

  • All digits must be used

  • Digits must be used in order

  • No two numbers should not use same digit in the string



I'd like to know if there exists procedures or algorithms to generate magic strings from a given input, or to check if a string is magic (a valid output).




Example 1:



Input: 12345678



Output: 1 2 3 4 5 6 7 8



Example 2:



Input: 493853289475554



Output: 49 38 53 28 9 47 55 54 (only 1 possible)



Example 3:



Input: 493853287475554



Possible Outputs:




  • 49 38 53 28 7 47 55 54

  • 49 38 53 28 74 7 55 54

  • 49 38 53 28 74 75 5 54

  • 49 38 53 28 74 75 55 4










share|cite|improve this question











$endgroup$




A string is said to be magic string if




  • It consists of only digits

  • Its digit form 8 unique numbers between 1 and 80

  • All digits must be used

  • Digits must be used in order

  • No two numbers should not use same digit in the string



I'd like to know if there exists procedures or algorithms to generate magic strings from a given input, or to check if a string is magic (a valid output).




Example 1:



Input: 12345678



Output: 1 2 3 4 5 6 7 8



Example 2:



Input: 493853289475554



Output: 49 38 53 28 9 47 55 54 (only 1 possible)



Example 3:



Input: 493853287475554



Possible Outputs:




  • 49 38 53 28 7 47 55 54

  • 49 38 53 28 74 7 55 54

  • 49 38 53 28 74 75 5 54

  • 49 38 53 28 74 75 55 4







natural-numbers programming






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 10 at 12:31









Lee David Chung Lin

3,98031140




3,98031140










asked Jan 7 at 17:35









user632545user632545

11




11








  • 1




    $begingroup$
    Please can you try to edit this into something more like the layout you meant? Leave a blank line between paragraphs, put two spaces at the end of a line to get a new line. For anybody else to edit it they need to guess the meaning, so they can't do it.
    $endgroup$
    – timtfj
    Jan 7 at 19:34












  • $begingroup$
    But if you can get the one breaks sorted out, that might let someone else edit it seine more. Also what does "no two numbers should not use the same digit" mean?
    $endgroup$
    – timtfj
    Jan 7 at 19:37










  • $begingroup$
    That is.. After using 2 digits consecutively you should go to third one.. Or if use only 1 digit you should go to next digit
    $endgroup$
    – user632545
    Jan 8 at 0:58














  • 1




    $begingroup$
    Please can you try to edit this into something more like the layout you meant? Leave a blank line between paragraphs, put two spaces at the end of a line to get a new line. For anybody else to edit it they need to guess the meaning, so they can't do it.
    $endgroup$
    – timtfj
    Jan 7 at 19:34












  • $begingroup$
    But if you can get the one breaks sorted out, that might let someone else edit it seine more. Also what does "no two numbers should not use the same digit" mean?
    $endgroup$
    – timtfj
    Jan 7 at 19:37










  • $begingroup$
    That is.. After using 2 digits consecutively you should go to third one.. Or if use only 1 digit you should go to next digit
    $endgroup$
    – user632545
    Jan 8 at 0:58








1




1




$begingroup$
Please can you try to edit this into something more like the layout you meant? Leave a blank line between paragraphs, put two spaces at the end of a line to get a new line. For anybody else to edit it they need to guess the meaning, so they can't do it.
$endgroup$
– timtfj
Jan 7 at 19:34






$begingroup$
Please can you try to edit this into something more like the layout you meant? Leave a blank line between paragraphs, put two spaces at the end of a line to get a new line. For anybody else to edit it they need to guess the meaning, so they can't do it.
$endgroup$
– timtfj
Jan 7 at 19:34














$begingroup$
But if you can get the one breaks sorted out, that might let someone else edit it seine more. Also what does "no two numbers should not use the same digit" mean?
$endgroup$
– timtfj
Jan 7 at 19:37




$begingroup$
But if you can get the one breaks sorted out, that might let someone else edit it seine more. Also what does "no two numbers should not use the same digit" mean?
$endgroup$
– timtfj
Jan 7 at 19:37












$begingroup$
That is.. After using 2 digits consecutively you should go to third one.. Or if use only 1 digit you should go to next digit
$endgroup$
– user632545
Jan 8 at 0:58




$begingroup$
That is.. After using 2 digits consecutively you should go to third one.. Or if use only 1 digit you should go to next digit
$endgroup$
– user632545
Jan 8 at 0:58










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