Digit permutation puzzle











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Given two numbers a and b ,
Find all the numbers between them such that :



If x is number between a and b then digits in 2x are permutation of digits in x.










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  • Why can't you just cycle through all the numbers between a and b and check? What is the desired complexity?
    – Todor Markov
    Nov 22 at 17:14










  • Cannot loop so much .. a can be 1 and b can be 10 raised to 18. I wish to get ans in few seconds. Desired complexity is as best as it can get.
    – Jay Teli
    Nov 22 at 17:27










  • See oeis.org/A023086, and in particular see the link to blog.plover.com/math/dd.html.
    – Peter Kagey
    Nov 22 at 18:33












  • This is exactly what i was looking for. Can u post the link as ans. I’ll accept it as answer. Thank u so much
    – Jay Teli
    Nov 22 at 23:02















up vote
1
down vote

favorite
1












Given two numbers a and b ,
Find all the numbers between them such that :



If x is number between a and b then digits in 2x are permutation of digits in x.










share|cite|improve this question






















  • Why can't you just cycle through all the numbers between a and b and check? What is the desired complexity?
    – Todor Markov
    Nov 22 at 17:14










  • Cannot loop so much .. a can be 1 and b can be 10 raised to 18. I wish to get ans in few seconds. Desired complexity is as best as it can get.
    – Jay Teli
    Nov 22 at 17:27










  • See oeis.org/A023086, and in particular see the link to blog.plover.com/math/dd.html.
    – Peter Kagey
    Nov 22 at 18:33












  • This is exactly what i was looking for. Can u post the link as ans. I’ll accept it as answer. Thank u so much
    – Jay Teli
    Nov 22 at 23:02













up vote
1
down vote

favorite
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up vote
1
down vote

favorite
1






1





Given two numbers a and b ,
Find all the numbers between them such that :



If x is number between a and b then digits in 2x are permutation of digits in x.










share|cite|improve this question













Given two numbers a and b ,
Find all the numbers between them such that :



If x is number between a and b then digits in 2x are permutation of digits in x.







algorithms permutations puzzle






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Nov 22 at 16:21









Jay Teli

196211




196211












  • Why can't you just cycle through all the numbers between a and b and check? What is the desired complexity?
    – Todor Markov
    Nov 22 at 17:14










  • Cannot loop so much .. a can be 1 and b can be 10 raised to 18. I wish to get ans in few seconds. Desired complexity is as best as it can get.
    – Jay Teli
    Nov 22 at 17:27










  • See oeis.org/A023086, and in particular see the link to blog.plover.com/math/dd.html.
    – Peter Kagey
    Nov 22 at 18:33












  • This is exactly what i was looking for. Can u post the link as ans. I’ll accept it as answer. Thank u so much
    – Jay Teli
    Nov 22 at 23:02


















  • Why can't you just cycle through all the numbers between a and b and check? What is the desired complexity?
    – Todor Markov
    Nov 22 at 17:14










  • Cannot loop so much .. a can be 1 and b can be 10 raised to 18. I wish to get ans in few seconds. Desired complexity is as best as it can get.
    – Jay Teli
    Nov 22 at 17:27










  • See oeis.org/A023086, and in particular see the link to blog.plover.com/math/dd.html.
    – Peter Kagey
    Nov 22 at 18:33












  • This is exactly what i was looking for. Can u post the link as ans. I’ll accept it as answer. Thank u so much
    – Jay Teli
    Nov 22 at 23:02
















Why can't you just cycle through all the numbers between a and b and check? What is the desired complexity?
– Todor Markov
Nov 22 at 17:14




Why can't you just cycle through all the numbers between a and b and check? What is the desired complexity?
– Todor Markov
Nov 22 at 17:14












Cannot loop so much .. a can be 1 and b can be 10 raised to 18. I wish to get ans in few seconds. Desired complexity is as best as it can get.
– Jay Teli
Nov 22 at 17:27




Cannot loop so much .. a can be 1 and b can be 10 raised to 18. I wish to get ans in few seconds. Desired complexity is as best as it can get.
– Jay Teli
Nov 22 at 17:27












See oeis.org/A023086, and in particular see the link to blog.plover.com/math/dd.html.
– Peter Kagey
Nov 22 at 18:33






See oeis.org/A023086, and in particular see the link to blog.plover.com/math/dd.html.
– Peter Kagey
Nov 22 at 18:33














This is exactly what i was looking for. Can u post the link as ans. I’ll accept it as answer. Thank u so much
– Jay Teli
Nov 22 at 23:02




This is exactly what i was looking for. Can u post the link as ans. I’ll accept it as answer. Thank u so much
– Jay Teli
Nov 22 at 23:02















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