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Check if the digits in the number are in increasing sequence in python


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8















I was working on a problem that determines whether the digits in the numbers are in the increasing sequence. Now, the approach I took to solve the problem was, For instance, consider the number 5678.



To check whether 5678 is an increasing sequence, I took the first digit and the next digit and the last digit which is 5,6,8 and substitute in range function range(first,last,(diff of first digit and the next to first digit)) i.e range(5,8+1,abs(5-6)).The result is the list of digits in the ascending order



To this problem, there is a constraint saying



For incrementing sequences, 0 should come after 9, and not before 1, as in 7890. Now my program breaks at the input 7890. I don't know how to encode this logic. Can someone help me, please?.



The code for increasing sequence was



  len(set(['5','6','7','8']) - set(map(str,range(5,8+1,abs(5-6))))) == 0 









share|improve this question




















  • 1





    Does each digit have to be exactly one bigger than the last?

    – John Gordon
    7 hours ago













  • yes @JohnGordon

    – s326280
    7 hours ago






  • 1





    The accepted answer currently seems to fail for 78901.

    – גלעד ברקן
    4 hours ago













  • Sorry, i didn't notice that !!.

    – s326280
    4 hours ago
















8















I was working on a problem that determines whether the digits in the numbers are in the increasing sequence. Now, the approach I took to solve the problem was, For instance, consider the number 5678.



To check whether 5678 is an increasing sequence, I took the first digit and the next digit and the last digit which is 5,6,8 and substitute in range function range(first,last,(diff of first digit and the next to first digit)) i.e range(5,8+1,abs(5-6)).The result is the list of digits in the ascending order



To this problem, there is a constraint saying



For incrementing sequences, 0 should come after 9, and not before 1, as in 7890. Now my program breaks at the input 7890. I don't know how to encode this logic. Can someone help me, please?.



The code for increasing sequence was



  len(set(['5','6','7','8']) - set(map(str,range(5,8+1,abs(5-6))))) == 0 









share|improve this question




















  • 1





    Does each digit have to be exactly one bigger than the last?

    – John Gordon
    7 hours ago













  • yes @JohnGordon

    – s326280
    7 hours ago






  • 1





    The accepted answer currently seems to fail for 78901.

    – גלעד ברקן
    4 hours ago













  • Sorry, i didn't notice that !!.

    – s326280
    4 hours ago














8












8








8








I was working on a problem that determines whether the digits in the numbers are in the increasing sequence. Now, the approach I took to solve the problem was, For instance, consider the number 5678.



To check whether 5678 is an increasing sequence, I took the first digit and the next digit and the last digit which is 5,6,8 and substitute in range function range(first,last,(diff of first digit and the next to first digit)) i.e range(5,8+1,abs(5-6)).The result is the list of digits in the ascending order



To this problem, there is a constraint saying



For incrementing sequences, 0 should come after 9, and not before 1, as in 7890. Now my program breaks at the input 7890. I don't know how to encode this logic. Can someone help me, please?.



The code for increasing sequence was



  len(set(['5','6','7','8']) - set(map(str,range(5,8+1,abs(5-6))))) == 0 









share|improve this question
















I was working on a problem that determines whether the digits in the numbers are in the increasing sequence. Now, the approach I took to solve the problem was, For instance, consider the number 5678.



To check whether 5678 is an increasing sequence, I took the first digit and the next digit and the last digit which is 5,6,8 and substitute in range function range(first,last,(diff of first digit and the next to first digit)) i.e range(5,8+1,abs(5-6)).The result is the list of digits in the ascending order



To this problem, there is a constraint saying



For incrementing sequences, 0 should come after 9, and not before 1, as in 7890. Now my program breaks at the input 7890. I don't know how to encode this logic. Can someone help me, please?.



The code for increasing sequence was



  len(set(['5','6','7','8']) - set(map(str,range(5,8+1,abs(5-6))))) == 0 






python algorithm






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 7 hours ago







s326280

















asked 7 hours ago









s326280s326280

876




876








  • 1





    Does each digit have to be exactly one bigger than the last?

    – John Gordon
    7 hours ago













  • yes @JohnGordon

    – s326280
    7 hours ago






  • 1





    The accepted answer currently seems to fail for 78901.

    – גלעד ברקן
    4 hours ago













  • Sorry, i didn't notice that !!.

    – s326280
    4 hours ago














  • 1





    Does each digit have to be exactly one bigger than the last?

    – John Gordon
    7 hours ago













  • yes @JohnGordon

    – s326280
    7 hours ago






  • 1





    The accepted answer currently seems to fail for 78901.

    – גלעד ברקן
    4 hours ago













  • Sorry, i didn't notice that !!.

    – s326280
    4 hours ago








1




1





Does each digit have to be exactly one bigger than the last?

– John Gordon
7 hours ago







Does each digit have to be exactly one bigger than the last?

– John Gordon
7 hours ago















yes @JohnGordon

– s326280
7 hours ago





yes @JohnGordon

– s326280
7 hours ago




1




1





The accepted answer currently seems to fail for 78901.

– גלעד ברקן
4 hours ago







The accepted answer currently seems to fail for 78901.

– גלעד ברקן
4 hours ago















Sorry, i didn't notice that !!.

– s326280
4 hours ago





Sorry, i didn't notice that !!.

– s326280
4 hours ago












5 Answers
5






active

oldest

votes


















5














You can simply check if the number, when converted to a string, is a substring of '1234567890':



str(num) in '1234567890'





share|improve this answer



















  • 1





    simple and answers perfectly. Good job.

    – Jean-François Fabre
    3 hours ago











  • This fails, for example for '901', which is increasing according to the OP's definition (0 comes after 9 and obviously 1 comes after 0).

    – Jörg W Mittag
    2 hours ago











  • @JörgWMittag No, the OP says "0 should come after 9, and not before 1", so 901 is no a valid increasing sequence because 0 should not come before 1.

    – blhsing
    2 hours ago





















3














you could zip the string representation of the number with a shifted self and iterate on consecutive digits together. Use all to check that numbers follow, using a modulo 10 to handle the 0 case.



num = 7890

result = all((int(y)-int(x))%10 == 1 for x,y in zip(str(num),str(num)[1:]))





share|improve this answer



















  • 1





    you can avoid the double str'ing and slicing by using zip(*[iter(str(num))] * 2) instead but I imagine that's got way more overhead for such use in this case anyway... just throwing it out there...

    – Jon Clements
    6 hours ago








  • 3





    This would incorrectly return True for 78901, as the OP says "0 should come after 9, and not before 1".

    – blhsing
    6 hours ago













  • @JonClements nice but in that case I would create a string beforehand.

    – Jean-François Fabre
    4 hours ago



















2














I would create a cycling generator and slice that:



from itertools import cycle, islice

num = 5678901234

num = tuple(str(num))
print(num == tuple(islice(cycle(map(str, range(10))), int(num[0]), int(num[0]) + len(num))))


This is faster than solutions that check differences between individual digits. Of course, you can sacrifice the length to make it faster:



def digits(num):
while num:
yield num % 10
num //= 10

def check(num):
num = list(digits(num))
num.reverse()
for i, j in zip(islice(cycle(range(10)), num[0], num[0] + len(num)), num):
if i != j:
return False
return True





share|improve this answer

































    1














    Here's my take that just looks at the digits and exits as soon as there is a discrepancy:



    def f(n):
    while (n):
    last = n % 10
    n = n / 10
    if n == 0:
    return True
    prev = n % 10
    print last, prev
    if prev == 0 or prev != (10 + last - 1) % 10:
    return False

    print f(1234)
    print f(7890)
    print f(78901)
    print f(1345)





    share|improve this answer
























    • This should be the accepted answer. No string conversion, pure maths. Guaranteed to be much faster

      – TerryA
      1 hour ago



















    0














    Since you already have the zip version, here is an alternative solution:



    import sys


    order = dict(enumerate(range(10)))
    order[0] = 10

    def increasing(n):
    n = abs(n)
    o = order[n % 10] + 1
    while n:
    r = n % 10
    n = n / 10
    if o - order[r] != 1:
    return False
    o = order[r]
    return True


    for n in sys.argv[1:]:
    print n, increasing(int(n))





    share|improve this answer

























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      5 Answers
      5






      active

      oldest

      votes








      5 Answers
      5






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      5














      You can simply check if the number, when converted to a string, is a substring of '1234567890':



      str(num) in '1234567890'





      share|improve this answer



















      • 1





        simple and answers perfectly. Good job.

        – Jean-François Fabre
        3 hours ago











      • This fails, for example for '901', which is increasing according to the OP's definition (0 comes after 9 and obviously 1 comes after 0).

        – Jörg W Mittag
        2 hours ago











      • @JörgWMittag No, the OP says "0 should come after 9, and not before 1", so 901 is no a valid increasing sequence because 0 should not come before 1.

        – blhsing
        2 hours ago


















      5














      You can simply check if the number, when converted to a string, is a substring of '1234567890':



      str(num) in '1234567890'





      share|improve this answer



















      • 1





        simple and answers perfectly. Good job.

        – Jean-François Fabre
        3 hours ago











      • This fails, for example for '901', which is increasing according to the OP's definition (0 comes after 9 and obviously 1 comes after 0).

        – Jörg W Mittag
        2 hours ago











      • @JörgWMittag No, the OP says "0 should come after 9, and not before 1", so 901 is no a valid increasing sequence because 0 should not come before 1.

        – blhsing
        2 hours ago
















      5












      5








      5







      You can simply check if the number, when converted to a string, is a substring of '1234567890':



      str(num) in '1234567890'





      share|improve this answer













      You can simply check if the number, when converted to a string, is a substring of '1234567890':



      str(num) in '1234567890'






      share|improve this answer












      share|improve this answer



      share|improve this answer










      answered 6 hours ago









      blhsingblhsing

      36.2k41639




      36.2k41639








      • 1





        simple and answers perfectly. Good job.

        – Jean-François Fabre
        3 hours ago











      • This fails, for example for '901', which is increasing according to the OP's definition (0 comes after 9 and obviously 1 comes after 0).

        – Jörg W Mittag
        2 hours ago











      • @JörgWMittag No, the OP says "0 should come after 9, and not before 1", so 901 is no a valid increasing sequence because 0 should not come before 1.

        – blhsing
        2 hours ago
















      • 1





        simple and answers perfectly. Good job.

        – Jean-François Fabre
        3 hours ago











      • This fails, for example for '901', which is increasing according to the OP's definition (0 comes after 9 and obviously 1 comes after 0).

        – Jörg W Mittag
        2 hours ago











      • @JörgWMittag No, the OP says "0 should come after 9, and not before 1", so 901 is no a valid increasing sequence because 0 should not come before 1.

        – blhsing
        2 hours ago










      1




      1





      simple and answers perfectly. Good job.

      – Jean-François Fabre
      3 hours ago





      simple and answers perfectly. Good job.

      – Jean-François Fabre
      3 hours ago













      This fails, for example for '901', which is increasing according to the OP's definition (0 comes after 9 and obviously 1 comes after 0).

      – Jörg W Mittag
      2 hours ago





      This fails, for example for '901', which is increasing according to the OP's definition (0 comes after 9 and obviously 1 comes after 0).

      – Jörg W Mittag
      2 hours ago













      @JörgWMittag No, the OP says "0 should come after 9, and not before 1", so 901 is no a valid increasing sequence because 0 should not come before 1.

      – blhsing
      2 hours ago







      @JörgWMittag No, the OP says "0 should come after 9, and not before 1", so 901 is no a valid increasing sequence because 0 should not come before 1.

      – blhsing
      2 hours ago















      3














      you could zip the string representation of the number with a shifted self and iterate on consecutive digits together. Use all to check that numbers follow, using a modulo 10 to handle the 0 case.



      num = 7890

      result = all((int(y)-int(x))%10 == 1 for x,y in zip(str(num),str(num)[1:]))





      share|improve this answer



















      • 1





        you can avoid the double str'ing and slicing by using zip(*[iter(str(num))] * 2) instead but I imagine that's got way more overhead for such use in this case anyway... just throwing it out there...

        – Jon Clements
        6 hours ago








      • 3





        This would incorrectly return True for 78901, as the OP says "0 should come after 9, and not before 1".

        – blhsing
        6 hours ago













      • @JonClements nice but in that case I would create a string beforehand.

        – Jean-François Fabre
        4 hours ago
















      3














      you could zip the string representation of the number with a shifted self and iterate on consecutive digits together. Use all to check that numbers follow, using a modulo 10 to handle the 0 case.



      num = 7890

      result = all((int(y)-int(x))%10 == 1 for x,y in zip(str(num),str(num)[1:]))





      share|improve this answer



















      • 1





        you can avoid the double str'ing and slicing by using zip(*[iter(str(num))] * 2) instead but I imagine that's got way more overhead for such use in this case anyway... just throwing it out there...

        – Jon Clements
        6 hours ago








      • 3





        This would incorrectly return True for 78901, as the OP says "0 should come after 9, and not before 1".

        – blhsing
        6 hours ago













      • @JonClements nice but in that case I would create a string beforehand.

        – Jean-François Fabre
        4 hours ago














      3












      3








      3







      you could zip the string representation of the number with a shifted self and iterate on consecutive digits together. Use all to check that numbers follow, using a modulo 10 to handle the 0 case.



      num = 7890

      result = all((int(y)-int(x))%10 == 1 for x,y in zip(str(num),str(num)[1:]))





      share|improve this answer













      you could zip the string representation of the number with a shifted self and iterate on consecutive digits together. Use all to check that numbers follow, using a modulo 10 to handle the 0 case.



      num = 7890

      result = all((int(y)-int(x))%10 == 1 for x,y in zip(str(num),str(num)[1:]))






      share|improve this answer












      share|improve this answer



      share|improve this answer










      answered 7 hours ago









      Jean-François FabreJean-François Fabre

      105k955112




      105k955112








      • 1





        you can avoid the double str'ing and slicing by using zip(*[iter(str(num))] * 2) instead but I imagine that's got way more overhead for such use in this case anyway... just throwing it out there...

        – Jon Clements
        6 hours ago








      • 3





        This would incorrectly return True for 78901, as the OP says "0 should come after 9, and not before 1".

        – blhsing
        6 hours ago













      • @JonClements nice but in that case I would create a string beforehand.

        – Jean-François Fabre
        4 hours ago














      • 1





        you can avoid the double str'ing and slicing by using zip(*[iter(str(num))] * 2) instead but I imagine that's got way more overhead for such use in this case anyway... just throwing it out there...

        – Jon Clements
        6 hours ago








      • 3





        This would incorrectly return True for 78901, as the OP says "0 should come after 9, and not before 1".

        – blhsing
        6 hours ago













      • @JonClements nice but in that case I would create a string beforehand.

        – Jean-François Fabre
        4 hours ago








      1




      1





      you can avoid the double str'ing and slicing by using zip(*[iter(str(num))] * 2) instead but I imagine that's got way more overhead for such use in this case anyway... just throwing it out there...

      – Jon Clements
      6 hours ago







      you can avoid the double str'ing and slicing by using zip(*[iter(str(num))] * 2) instead but I imagine that's got way more overhead for such use in this case anyway... just throwing it out there...

      – Jon Clements
      6 hours ago






      3




      3





      This would incorrectly return True for 78901, as the OP says "0 should come after 9, and not before 1".

      – blhsing
      6 hours ago







      This would incorrectly return True for 78901, as the OP says "0 should come after 9, and not before 1".

      – blhsing
      6 hours ago















      @JonClements nice but in that case I would create a string beforehand.

      – Jean-François Fabre
      4 hours ago





      @JonClements nice but in that case I would create a string beforehand.

      – Jean-François Fabre
      4 hours ago











      2














      I would create a cycling generator and slice that:



      from itertools import cycle, islice

      num = 5678901234

      num = tuple(str(num))
      print(num == tuple(islice(cycle(map(str, range(10))), int(num[0]), int(num[0]) + len(num))))


      This is faster than solutions that check differences between individual digits. Of course, you can sacrifice the length to make it faster:



      def digits(num):
      while num:
      yield num % 10
      num //= 10

      def check(num):
      num = list(digits(num))
      num.reverse()
      for i, j in zip(islice(cycle(range(10)), num[0], num[0] + len(num)), num):
      if i != j:
      return False
      return True





      share|improve this answer






























        2














        I would create a cycling generator and slice that:



        from itertools import cycle, islice

        num = 5678901234

        num = tuple(str(num))
        print(num == tuple(islice(cycle(map(str, range(10))), int(num[0]), int(num[0]) + len(num))))


        This is faster than solutions that check differences between individual digits. Of course, you can sacrifice the length to make it faster:



        def digits(num):
        while num:
        yield num % 10
        num //= 10

        def check(num):
        num = list(digits(num))
        num.reverse()
        for i, j in zip(islice(cycle(range(10)), num[0], num[0] + len(num)), num):
        if i != j:
        return False
        return True





        share|improve this answer




























          2












          2








          2







          I would create a cycling generator and slice that:



          from itertools import cycle, islice

          num = 5678901234

          num = tuple(str(num))
          print(num == tuple(islice(cycle(map(str, range(10))), int(num[0]), int(num[0]) + len(num))))


          This is faster than solutions that check differences between individual digits. Of course, you can sacrifice the length to make it faster:



          def digits(num):
          while num:
          yield num % 10
          num //= 10

          def check(num):
          num = list(digits(num))
          num.reverse()
          for i, j in zip(islice(cycle(range(10)), num[0], num[0] + len(num)), num):
          if i != j:
          return False
          return True





          share|improve this answer















          I would create a cycling generator and slice that:



          from itertools import cycle, islice

          num = 5678901234

          num = tuple(str(num))
          print(num == tuple(islice(cycle(map(str, range(10))), int(num[0]), int(num[0]) + len(num))))


          This is faster than solutions that check differences between individual digits. Of course, you can sacrifice the length to make it faster:



          def digits(num):
          while num:
          yield num % 10
          num //= 10

          def check(num):
          num = list(digits(num))
          num.reverse()
          for i, j in zip(islice(cycle(range(10)), num[0], num[0] + len(num)), num):
          if i != j:
          return False
          return True






          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 6 hours ago

























          answered 7 hours ago









          Tomothy32Tomothy32

          7,2871627




          7,2871627























              1














              Here's my take that just looks at the digits and exits as soon as there is a discrepancy:



              def f(n):
              while (n):
              last = n % 10
              n = n / 10
              if n == 0:
              return True
              prev = n % 10
              print last, prev
              if prev == 0 or prev != (10 + last - 1) % 10:
              return False

              print f(1234)
              print f(7890)
              print f(78901)
              print f(1345)





              share|improve this answer
























              • This should be the accepted answer. No string conversion, pure maths. Guaranteed to be much faster

                – TerryA
                1 hour ago
















              1














              Here's my take that just looks at the digits and exits as soon as there is a discrepancy:



              def f(n):
              while (n):
              last = n % 10
              n = n / 10
              if n == 0:
              return True
              prev = n % 10
              print last, prev
              if prev == 0 or prev != (10 + last - 1) % 10:
              return False

              print f(1234)
              print f(7890)
              print f(78901)
              print f(1345)





              share|improve this answer
























              • This should be the accepted answer. No string conversion, pure maths. Guaranteed to be much faster

                – TerryA
                1 hour ago














              1












              1








              1







              Here's my take that just looks at the digits and exits as soon as there is a discrepancy:



              def f(n):
              while (n):
              last = n % 10
              n = n / 10
              if n == 0:
              return True
              prev = n % 10
              print last, prev
              if prev == 0 or prev != (10 + last - 1) % 10:
              return False

              print f(1234)
              print f(7890)
              print f(78901)
              print f(1345)





              share|improve this answer













              Here's my take that just looks at the digits and exits as soon as there is a discrepancy:



              def f(n):
              while (n):
              last = n % 10
              n = n / 10
              if n == 0:
              return True
              prev = n % 10
              print last, prev
              if prev == 0 or prev != (10 + last - 1) % 10:
              return False

              print f(1234)
              print f(7890)
              print f(78901)
              print f(1345)






              share|improve this answer












              share|improve this answer



              share|improve this answer










              answered 4 hours ago









              גלעד ברקןגלעד ברקן

              13k21542




              13k21542













              • This should be the accepted answer. No string conversion, pure maths. Guaranteed to be much faster

                – TerryA
                1 hour ago



















              • This should be the accepted answer. No string conversion, pure maths. Guaranteed to be much faster

                – TerryA
                1 hour ago

















              This should be the accepted answer. No string conversion, pure maths. Guaranteed to be much faster

              – TerryA
              1 hour ago





              This should be the accepted answer. No string conversion, pure maths. Guaranteed to be much faster

              – TerryA
              1 hour ago











              0














              Since you already have the zip version, here is an alternative solution:



              import sys


              order = dict(enumerate(range(10)))
              order[0] = 10

              def increasing(n):
              n = abs(n)
              o = order[n % 10] + 1
              while n:
              r = n % 10
              n = n / 10
              if o - order[r] != 1:
              return False
              o = order[r]
              return True


              for n in sys.argv[1:]:
              print n, increasing(int(n))





              share|improve this answer






























                0














                Since you already have the zip version, here is an alternative solution:



                import sys


                order = dict(enumerate(range(10)))
                order[0] = 10

                def increasing(n):
                n = abs(n)
                o = order[n % 10] + 1
                while n:
                r = n % 10
                n = n / 10
                if o - order[r] != 1:
                return False
                o = order[r]
                return True


                for n in sys.argv[1:]:
                print n, increasing(int(n))





                share|improve this answer




























                  0












                  0








                  0







                  Since you already have the zip version, here is an alternative solution:



                  import sys


                  order = dict(enumerate(range(10)))
                  order[0] = 10

                  def increasing(n):
                  n = abs(n)
                  o = order[n % 10] + 1
                  while n:
                  r = n % 10
                  n = n / 10
                  if o - order[r] != 1:
                  return False
                  o = order[r]
                  return True


                  for n in sys.argv[1:]:
                  print n, increasing(int(n))





                  share|improve this answer















                  Since you already have the zip version, here is an alternative solution:



                  import sys


                  order = dict(enumerate(range(10)))
                  order[0] = 10

                  def increasing(n):
                  n = abs(n)
                  o = order[n % 10] + 1
                  while n:
                  r = n % 10
                  n = n / 10
                  if o - order[r] != 1:
                  return False
                  o = order[r]
                  return True


                  for n in sys.argv[1:]:
                  print n, increasing(int(n))






                  share|improve this answer














                  share|improve this answer



                  share|improve this answer








                  edited 6 hours ago

























                  answered 7 hours ago









                  khachikkhachik

                  21.1k54381




                  21.1k54381






























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