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Why does Python start at index -1 when indexing a list from the end?



Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)
The Ask Question Wizard is Live!
Data science time! April 2019 and salary with experience
Should we burninate the [wrap] tag?Finding the index of an item given a list containing it in PythonWhat does the “yield” keyword do?Difference between append vs. extend list methods in PythonDoes Python have a ternary conditional operator?Accessing the index in 'for' loops?How do I remove an element from a list by index in Python?Getting the last element of a list in PythonHow do I get the number of elements in a list in Python?How do I concatenate two lists in Python?Does Python have a string 'contains' substring method?



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45















list = ["a", "b", "c", "d"]
print(list[3]) # Number 3 is "d"

print(list[-4]) # Number -4 is "a"









share|improve this question









New contributor




abraham is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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  • 28





    Don't use list as a variable name, it's the name of a standard class.

    – Barmar
    10 hours ago






  • 8





    It isn't starting at 1, it's starting at -1. ?!?

    – Thomas Weller
    7 hours ago







  • 1





    mod arithmetic should really be mentioned on this page somewhere...

    – Nacht
    3 hours ago

















45















list = ["a", "b", "c", "d"]
print(list[3]) # Number 3 is "d"

print(list[-4]) # Number -4 is "a"









share|improve this question









New contributor




abraham is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.















  • 28





    Don't use list as a variable name, it's the name of a standard class.

    – Barmar
    10 hours ago






  • 8





    It isn't starting at 1, it's starting at -1. ?!?

    – Thomas Weller
    7 hours ago







  • 1





    mod arithmetic should really be mentioned on this page somewhere...

    – Nacht
    3 hours ago













45












45








45


11






list = ["a", "b", "c", "d"]
print(list[3]) # Number 3 is "d"

print(list[-4]) # Number -4 is "a"









share|improve this question









New contributor




abraham is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.












list = ["a", "b", "c", "d"]
print(list[3]) # Number 3 is "d"

print(list[-4]) # Number -4 is "a"






python list






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New contributor




abraham is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|improve this question









New contributor




abraham is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|improve this question




share|improve this question








edited 1 hour ago









Aaron Hall

185k53310264




185k53310264






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asked 19 hours ago









abrahamabraham

22126




22126




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New contributor





abraham is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






abraham is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







  • 28





    Don't use list as a variable name, it's the name of a standard class.

    – Barmar
    10 hours ago






  • 8





    It isn't starting at 1, it's starting at -1. ?!?

    – Thomas Weller
    7 hours ago







  • 1





    mod arithmetic should really be mentioned on this page somewhere...

    – Nacht
    3 hours ago












  • 28





    Don't use list as a variable name, it's the name of a standard class.

    – Barmar
    10 hours ago






  • 8





    It isn't starting at 1, it's starting at -1. ?!?

    – Thomas Weller
    7 hours ago







  • 1





    mod arithmetic should really be mentioned on this page somewhere...

    – Nacht
    3 hours ago







28




28





Don't use list as a variable name, it's the name of a standard class.

– Barmar
10 hours ago





Don't use list as a variable name, it's the name of a standard class.

– Barmar
10 hours ago




8




8





It isn't starting at 1, it's starting at -1. ?!?

– Thomas Weller
7 hours ago






It isn't starting at 1, it's starting at -1. ?!?

– Thomas Weller
7 hours ago





1




1





mod arithmetic should really be mentioned on this page somewhere...

– Nacht
3 hours ago





mod arithmetic should really be mentioned on this page somewhere...

– Nacht
3 hours ago












7 Answers
7






active

oldest

votes


















100














To explain it in another way, because -0 is equal to 0, if backward starts from 0, it is ambiguous to the interpreter.




If you are confused about -, and looking for another way to index backwards more understandably, you can try ~, it is a mirror of forward:



arr = ["a", "b", "c", "d"]
print(arr[~0]) # d
print(arr[~1]) # c


The typical usages for ~ are like "swap mirror node" or "find median in a sort list":



def reverse(arr):
for i in range(len(arr)//2):
arr[i], arr[~i] = arr[~i], arr[i]

def median(arr):
mid = len(arr) // 2
return (arr[mid] + arr[~mid]) / 2


~ actually is a math trick of inverse code and complement code, and it is more easy to understand in some situations.




Discussion about whether should use python tricks like ~:



In my opinion, if it is a code maintained by yourself, you can use any trick to avoid potential bug or achieve goal easier, because of maybe a high readability and usability. But in team work, avoid using 'too clever' code, may bring troubles to your co-workers.



For example, here is one concise code from Stefan Pochmann to solve this problem. I learned a lot from his code. But some are just for fun, too hackish to use.



def findStrobogrammatic(self, n):
nums = n % 2 * list('018') or ['']
while n > 1:
n -= 2
# n < 2 is so genius here
nums = [a + num + b for a, b in '00 11 88 69 96'.split()[n < 2:] for num in nums]
return nums





share|improve this answer

























  • Comments are not for extended discussion; this conversation has been moved to chat.

    – Samuel Liew
    2 hours ago


















91














list[-1]


Is short hand for:



list[len(list)-1]


The len(list) part is implicit. That's why the -1 is the last element. That goes for any negative index - the subtraction from len(list) is always implicit






share|improve this answer


















  • 5





    In my opinion this answer is better than the accepted one.

    – NicolasB
    15 hours ago






  • 3





    Be aware that list[-n] and list[len(list)-n] are only equivilent for values of n between 1 and len(list). This becomes especially important when slicing rather than indexing.

    – plugwash
    10 hours ago


















11














Because -0 in Python is 0.

With 0 you get first element of list and
with -1 you get the last element of the list.



list = ["a", "b", "c", "d"]
print(list[0]) # "a"
print(list[-1]) # "d"





share|improve this answer

























  • I think -0 is 0 pretty much everywhere.

    – Koray Tugay
    11 hours ago






  • 2





    @KorayTugay Except in floating point.

    – Barmar
    10 hours ago











  • I guess that is not 0 anymore. @Barmar

    – Koray Tugay
    10 hours ago






  • 1





    @KorayTugay It is. The binary representation is even all 0s. Floating point also just has another 0, where the sign bit is 1.

    – curiousdannii
    3 hours ago


















5














This is the mnemonic method I use. It is just an approach of what is happening, but it works.




Don't think of those as indexes. Think of them as offsets on a circular list.



Let's use the list x = [a,b,c,d,e,f,g,h] as an example. Think about x[2] and x[-2]:



enter image description here



You start at offset zero. If you move two steps forward, you're going from a to b (0 to 1), and them from b to c (1 to 2).



If you move two steps backward, you're going from a to h (0 to -1), and then from h to g (-1 to -2)






share|improve this answer

























  • "Think about a[2] and a[-2]" is a the list, or an element of the list?

    – detly
    4 hours ago











  • "a" is an hypothetical list which contains the values a-h! I'll clarify!

    – T. Sar
    54 mins ago



















2














Another explanation:



Your finger points to the first element. The index decides how many places you shift your finger to the right. If the number is negative, you shift your finger to the left.



Of course, you cant step to the left from the first element, so the first step to the left wraps around to the last element.






share|improve this answer








New contributor




Oscar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.



























    0














    This idiom can be justified using modular arithmetic. We can think of indices as referring to a cell in a list obtained by walking forward i elements. -1 referring to the last element of the list is a natural generalization of this, since we arrive at the last element in the list if we walk backwards one step from the start of the list.



    For any list xs and index i positive or negative, the expression



    xs[i]


    will either have the same value as the expression below or produce an IndexError:



    xs[i % len(xs)]


    The index of the last element is -1 + len(xs) which is congruent to -1 mod len(xs). For example, in an array of length 12, the canonical index of the last element is 11. 11 is congruent to -1 mod 12.



    In Python, though, arrays are more often used as linear data structures than circular ones, so indexes larger than len(xs) or smaller than -1-len(xs) are out of bounds since there's seldom a need for them and the effects would be really counterintuitive if the size of the array ever changed.






    share|improve this answer






























      -4














      In a comment, abraham asked




      I wish python has another mechanism to get list backward.




      For another way to access lists backwards, one could simply first reverse the list and then access the elements as usual:



      lst = ["a", "b", "c", "d"]
      print(lst[::-1][0]) # "d"
      print(lst[::-1][1]) # "c"





      share|improve this answer










      New contributor




      Michael Engen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.















      • 2





        True, but not really answer the question "why".

        – Valentino
        16 hours ago






      • 4





        It's a waste of ressources to create a whole new list in order to retrieve a single element.

        – Eric Duminil
        14 hours ago











      • What is the use of showing another way to solve a task when it is all of, syntaxly, logically and computationally more complex than the standard method?

        – Sam
        11 hours ago












      • @Sam Why use C when we got Assembly?

        – mid
        11 hours ago











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      7 Answers
      7






      active

      oldest

      votes








      7 Answers
      7






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      100














      To explain it in another way, because -0 is equal to 0, if backward starts from 0, it is ambiguous to the interpreter.




      If you are confused about -, and looking for another way to index backwards more understandably, you can try ~, it is a mirror of forward:



      arr = ["a", "b", "c", "d"]
      print(arr[~0]) # d
      print(arr[~1]) # c


      The typical usages for ~ are like "swap mirror node" or "find median in a sort list":



      def reverse(arr):
      for i in range(len(arr)//2):
      arr[i], arr[~i] = arr[~i], arr[i]

      def median(arr):
      mid = len(arr) // 2
      return (arr[mid] + arr[~mid]) / 2


      ~ actually is a math trick of inverse code and complement code, and it is more easy to understand in some situations.




      Discussion about whether should use python tricks like ~:



      In my opinion, if it is a code maintained by yourself, you can use any trick to avoid potential bug or achieve goal easier, because of maybe a high readability and usability. But in team work, avoid using 'too clever' code, may bring troubles to your co-workers.



      For example, here is one concise code from Stefan Pochmann to solve this problem. I learned a lot from his code. But some are just for fun, too hackish to use.



      def findStrobogrammatic(self, n):
      nums = n % 2 * list('018') or ['']
      while n > 1:
      n -= 2
      # n < 2 is so genius here
      nums = [a + num + b for a, b in '00 11 88 69 96'.split()[n < 2:] for num in nums]
      return nums





      share|improve this answer

























      • Comments are not for extended discussion; this conversation has been moved to chat.

        – Samuel Liew
        2 hours ago















      100














      To explain it in another way, because -0 is equal to 0, if backward starts from 0, it is ambiguous to the interpreter.




      If you are confused about -, and looking for another way to index backwards more understandably, you can try ~, it is a mirror of forward:



      arr = ["a", "b", "c", "d"]
      print(arr[~0]) # d
      print(arr[~1]) # c


      The typical usages for ~ are like "swap mirror node" or "find median in a sort list":



      def reverse(arr):
      for i in range(len(arr)//2):
      arr[i], arr[~i] = arr[~i], arr[i]

      def median(arr):
      mid = len(arr) // 2
      return (arr[mid] + arr[~mid]) / 2


      ~ actually is a math trick of inverse code and complement code, and it is more easy to understand in some situations.




      Discussion about whether should use python tricks like ~:



      In my opinion, if it is a code maintained by yourself, you can use any trick to avoid potential bug or achieve goal easier, because of maybe a high readability and usability. But in team work, avoid using 'too clever' code, may bring troubles to your co-workers.



      For example, here is one concise code from Stefan Pochmann to solve this problem. I learned a lot from his code. But some are just for fun, too hackish to use.



      def findStrobogrammatic(self, n):
      nums = n % 2 * list('018') or ['']
      while n > 1:
      n -= 2
      # n < 2 is so genius here
      nums = [a + num + b for a, b in '00 11 88 69 96'.split()[n < 2:] for num in nums]
      return nums





      share|improve this answer

























      • Comments are not for extended discussion; this conversation has been moved to chat.

        – Samuel Liew
        2 hours ago













      100












      100








      100







      To explain it in another way, because -0 is equal to 0, if backward starts from 0, it is ambiguous to the interpreter.




      If you are confused about -, and looking for another way to index backwards more understandably, you can try ~, it is a mirror of forward:



      arr = ["a", "b", "c", "d"]
      print(arr[~0]) # d
      print(arr[~1]) # c


      The typical usages for ~ are like "swap mirror node" or "find median in a sort list":



      def reverse(arr):
      for i in range(len(arr)//2):
      arr[i], arr[~i] = arr[~i], arr[i]

      def median(arr):
      mid = len(arr) // 2
      return (arr[mid] + arr[~mid]) / 2


      ~ actually is a math trick of inverse code and complement code, and it is more easy to understand in some situations.




      Discussion about whether should use python tricks like ~:



      In my opinion, if it is a code maintained by yourself, you can use any trick to avoid potential bug or achieve goal easier, because of maybe a high readability and usability. But in team work, avoid using 'too clever' code, may bring troubles to your co-workers.



      For example, here is one concise code from Stefan Pochmann to solve this problem. I learned a lot from his code. But some are just for fun, too hackish to use.



      def findStrobogrammatic(self, n):
      nums = n % 2 * list('018') or ['']
      while n > 1:
      n -= 2
      # n < 2 is so genius here
      nums = [a + num + b for a, b in '00 11 88 69 96'.split()[n < 2:] for num in nums]
      return nums





      share|improve this answer















      To explain it in another way, because -0 is equal to 0, if backward starts from 0, it is ambiguous to the interpreter.




      If you are confused about -, and looking for another way to index backwards more understandably, you can try ~, it is a mirror of forward:



      arr = ["a", "b", "c", "d"]
      print(arr[~0]) # d
      print(arr[~1]) # c


      The typical usages for ~ are like "swap mirror node" or "find median in a sort list":



      def reverse(arr):
      for i in range(len(arr)//2):
      arr[i], arr[~i] = arr[~i], arr[i]

      def median(arr):
      mid = len(arr) // 2
      return (arr[mid] + arr[~mid]) / 2


      ~ actually is a math trick of inverse code and complement code, and it is more easy to understand in some situations.




      Discussion about whether should use python tricks like ~:



      In my opinion, if it is a code maintained by yourself, you can use any trick to avoid potential bug or achieve goal easier, because of maybe a high readability and usability. But in team work, avoid using 'too clever' code, may bring troubles to your co-workers.



      For example, here is one concise code from Stefan Pochmann to solve this problem. I learned a lot from his code. But some are just for fun, too hackish to use.



      def findStrobogrammatic(self, n):
      nums = n % 2 * list('018') or ['']
      while n > 1:
      n -= 2
      # n < 2 is so genius here
      nums = [a + num + b for a, b in '00 11 88 69 96'.split()[n < 2:] for num in nums]
      return nums






      share|improve this answer














      share|improve this answer



      share|improve this answer








      edited 9 hours ago

























      answered 19 hours ago









      recnacrecnac

      1,9202524




      1,9202524












      • Comments are not for extended discussion; this conversation has been moved to chat.

        – Samuel Liew
        2 hours ago

















      • Comments are not for extended discussion; this conversation has been moved to chat.

        – Samuel Liew
        2 hours ago
















      Comments are not for extended discussion; this conversation has been moved to chat.

      – Samuel Liew
      2 hours ago





      Comments are not for extended discussion; this conversation has been moved to chat.

      – Samuel Liew
      2 hours ago













      91














      list[-1]


      Is short hand for:



      list[len(list)-1]


      The len(list) part is implicit. That's why the -1 is the last element. That goes for any negative index - the subtraction from len(list) is always implicit






      share|improve this answer


















      • 5





        In my opinion this answer is better than the accepted one.

        – NicolasB
        15 hours ago






      • 3





        Be aware that list[-n] and list[len(list)-n] are only equivilent for values of n between 1 and len(list). This becomes especially important when slicing rather than indexing.

        – plugwash
        10 hours ago















      91














      list[-1]


      Is short hand for:



      list[len(list)-1]


      The len(list) part is implicit. That's why the -1 is the last element. That goes for any negative index - the subtraction from len(list) is always implicit






      share|improve this answer


















      • 5





        In my opinion this answer is better than the accepted one.

        – NicolasB
        15 hours ago






      • 3





        Be aware that list[-n] and list[len(list)-n] are only equivilent for values of n between 1 and len(list). This becomes especially important when slicing rather than indexing.

        – plugwash
        10 hours ago













      91












      91








      91







      list[-1]


      Is short hand for:



      list[len(list)-1]


      The len(list) part is implicit. That's why the -1 is the last element. That goes for any negative index - the subtraction from len(list) is always implicit






      share|improve this answer













      list[-1]


      Is short hand for:



      list[len(list)-1]


      The len(list) part is implicit. That's why the -1 is the last element. That goes for any negative index - the subtraction from len(list) is always implicit







      share|improve this answer












      share|improve this answer



      share|improve this answer










      answered 19 hours ago









      DroidX86DroidX86

      2,281919




      2,281919







      • 5





        In my opinion this answer is better than the accepted one.

        – NicolasB
        15 hours ago






      • 3





        Be aware that list[-n] and list[len(list)-n] are only equivilent for values of n between 1 and len(list). This becomes especially important when slicing rather than indexing.

        – plugwash
        10 hours ago












      • 5





        In my opinion this answer is better than the accepted one.

        – NicolasB
        15 hours ago






      • 3





        Be aware that list[-n] and list[len(list)-n] are only equivilent for values of n between 1 and len(list). This becomes especially important when slicing rather than indexing.

        – plugwash
        10 hours ago







      5




      5





      In my opinion this answer is better than the accepted one.

      – NicolasB
      15 hours ago





      In my opinion this answer is better than the accepted one.

      – NicolasB
      15 hours ago




      3




      3





      Be aware that list[-n] and list[len(list)-n] are only equivilent for values of n between 1 and len(list). This becomes especially important when slicing rather than indexing.

      – plugwash
      10 hours ago





      Be aware that list[-n] and list[len(list)-n] are only equivilent for values of n between 1 and len(list). This becomes especially important when slicing rather than indexing.

      – plugwash
      10 hours ago











      11














      Because -0 in Python is 0.

      With 0 you get first element of list and
      with -1 you get the last element of the list.



      list = ["a", "b", "c", "d"]
      print(list[0]) # "a"
      print(list[-1]) # "d"





      share|improve this answer

























      • I think -0 is 0 pretty much everywhere.

        – Koray Tugay
        11 hours ago






      • 2





        @KorayTugay Except in floating point.

        – Barmar
        10 hours ago











      • I guess that is not 0 anymore. @Barmar

        – Koray Tugay
        10 hours ago






      • 1





        @KorayTugay It is. The binary representation is even all 0s. Floating point also just has another 0, where the sign bit is 1.

        – curiousdannii
        3 hours ago















      11














      Because -0 in Python is 0.

      With 0 you get first element of list and
      with -1 you get the last element of the list.



      list = ["a", "b", "c", "d"]
      print(list[0]) # "a"
      print(list[-1]) # "d"





      share|improve this answer

























      • I think -0 is 0 pretty much everywhere.

        – Koray Tugay
        11 hours ago






      • 2





        @KorayTugay Except in floating point.

        – Barmar
        10 hours ago











      • I guess that is not 0 anymore. @Barmar

        – Koray Tugay
        10 hours ago






      • 1





        @KorayTugay It is. The binary representation is even all 0s. Floating point also just has another 0, where the sign bit is 1.

        – curiousdannii
        3 hours ago













      11












      11








      11







      Because -0 in Python is 0.

      With 0 you get first element of list and
      with -1 you get the last element of the list.



      list = ["a", "b", "c", "d"]
      print(list[0]) # "a"
      print(list[-1]) # "d"





      share|improve this answer















      Because -0 in Python is 0.

      With 0 you get first element of list and
      with -1 you get the last element of the list.



      list = ["a", "b", "c", "d"]
      print(list[0]) # "a"
      print(list[-1]) # "d"






      share|improve this answer














      share|improve this answer



      share|improve this answer








      edited 19 hours ago

























      answered 19 hours ago









      AshishAshish

      1,457630




      1,457630












      • I think -0 is 0 pretty much everywhere.

        – Koray Tugay
        11 hours ago






      • 2





        @KorayTugay Except in floating point.

        – Barmar
        10 hours ago











      • I guess that is not 0 anymore. @Barmar

        – Koray Tugay
        10 hours ago






      • 1





        @KorayTugay It is. The binary representation is even all 0s. Floating point also just has another 0, where the sign bit is 1.

        – curiousdannii
        3 hours ago

















      • I think -0 is 0 pretty much everywhere.

        – Koray Tugay
        11 hours ago






      • 2





        @KorayTugay Except in floating point.

        – Barmar
        10 hours ago











      • I guess that is not 0 anymore. @Barmar

        – Koray Tugay
        10 hours ago






      • 1





        @KorayTugay It is. The binary representation is even all 0s. Floating point also just has another 0, where the sign bit is 1.

        – curiousdannii
        3 hours ago
















      I think -0 is 0 pretty much everywhere.

      – Koray Tugay
      11 hours ago





      I think -0 is 0 pretty much everywhere.

      – Koray Tugay
      11 hours ago




      2




      2





      @KorayTugay Except in floating point.

      – Barmar
      10 hours ago





      @KorayTugay Except in floating point.

      – Barmar
      10 hours ago













      I guess that is not 0 anymore. @Barmar

      – Koray Tugay
      10 hours ago





      I guess that is not 0 anymore. @Barmar

      – Koray Tugay
      10 hours ago




      1




      1





      @KorayTugay It is. The binary representation is even all 0s. Floating point also just has another 0, where the sign bit is 1.

      – curiousdannii
      3 hours ago





      @KorayTugay It is. The binary representation is even all 0s. Floating point also just has another 0, where the sign bit is 1.

      – curiousdannii
      3 hours ago











      5














      This is the mnemonic method I use. It is just an approach of what is happening, but it works.




      Don't think of those as indexes. Think of them as offsets on a circular list.



      Let's use the list x = [a,b,c,d,e,f,g,h] as an example. Think about x[2] and x[-2]:



      enter image description here



      You start at offset zero. If you move two steps forward, you're going from a to b (0 to 1), and them from b to c (1 to 2).



      If you move two steps backward, you're going from a to h (0 to -1), and then from h to g (-1 to -2)






      share|improve this answer

























      • "Think about a[2] and a[-2]" is a the list, or an element of the list?

        – detly
        4 hours ago











      • "a" is an hypothetical list which contains the values a-h! I'll clarify!

        – T. Sar
        54 mins ago
















      5














      This is the mnemonic method I use. It is just an approach of what is happening, but it works.




      Don't think of those as indexes. Think of them as offsets on a circular list.



      Let's use the list x = [a,b,c,d,e,f,g,h] as an example. Think about x[2] and x[-2]:



      enter image description here



      You start at offset zero. If you move two steps forward, you're going from a to b (0 to 1), and them from b to c (1 to 2).



      If you move two steps backward, you're going from a to h (0 to -1), and then from h to g (-1 to -2)






      share|improve this answer

























      • "Think about a[2] and a[-2]" is a the list, or an element of the list?

        – detly
        4 hours ago











      • "a" is an hypothetical list which contains the values a-h! I'll clarify!

        – T. Sar
        54 mins ago














      5












      5








      5







      This is the mnemonic method I use. It is just an approach of what is happening, but it works.




      Don't think of those as indexes. Think of them as offsets on a circular list.



      Let's use the list x = [a,b,c,d,e,f,g,h] as an example. Think about x[2] and x[-2]:



      enter image description here



      You start at offset zero. If you move two steps forward, you're going from a to b (0 to 1), and them from b to c (1 to 2).



      If you move two steps backward, you're going from a to h (0 to -1), and then from h to g (-1 to -2)






      share|improve this answer















      This is the mnemonic method I use. It is just an approach of what is happening, but it works.




      Don't think of those as indexes. Think of them as offsets on a circular list.



      Let's use the list x = [a,b,c,d,e,f,g,h] as an example. Think about x[2] and x[-2]:



      enter image description here



      You start at offset zero. If you move two steps forward, you're going from a to b (0 to 1), and them from b to c (1 to 2).



      If you move two steps backward, you're going from a to h (0 to -1), and then from h to g (-1 to -2)







      share|improve this answer














      share|improve this answer



      share|improve this answer








      edited 53 mins ago

























      answered 9 hours ago









      T. SarT. Sar

      181110




      181110












      • "Think about a[2] and a[-2]" is a the list, or an element of the list?

        – detly
        4 hours ago











      • "a" is an hypothetical list which contains the values a-h! I'll clarify!

        – T. Sar
        54 mins ago


















      • "Think about a[2] and a[-2]" is a the list, or an element of the list?

        – detly
        4 hours ago











      • "a" is an hypothetical list which contains the values a-h! I'll clarify!

        – T. Sar
        54 mins ago

















      "Think about a[2] and a[-2]" is a the list, or an element of the list?

      – detly
      4 hours ago





      "Think about a[2] and a[-2]" is a the list, or an element of the list?

      – detly
      4 hours ago













      "a" is an hypothetical list which contains the values a-h! I'll clarify!

      – T. Sar
      54 mins ago






      "a" is an hypothetical list which contains the values a-h! I'll clarify!

      – T. Sar
      54 mins ago












      2














      Another explanation:



      Your finger points to the first element. The index decides how many places you shift your finger to the right. If the number is negative, you shift your finger to the left.



      Of course, you cant step to the left from the first element, so the first step to the left wraps around to the last element.






      share|improve this answer








      New contributor




      Oscar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.
























        2














        Another explanation:



        Your finger points to the first element. The index decides how many places you shift your finger to the right. If the number is negative, you shift your finger to the left.



        Of course, you cant step to the left from the first element, so the first step to the left wraps around to the last element.






        share|improve this answer








        New contributor




        Oscar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
        Check out our Code of Conduct.






















          2












          2








          2







          Another explanation:



          Your finger points to the first element. The index decides how many places you shift your finger to the right. If the number is negative, you shift your finger to the left.



          Of course, you cant step to the left from the first element, so the first step to the left wraps around to the last element.






          share|improve this answer








          New contributor




          Oscar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
          Check out our Code of Conduct.










          Another explanation:



          Your finger points to the first element. The index decides how many places you shift your finger to the right. If the number is negative, you shift your finger to the left.



          Of course, you cant step to the left from the first element, so the first step to the left wraps around to the last element.







          share|improve this answer








          New contributor




          Oscar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
          Check out our Code of Conduct.









          share|improve this answer



          share|improve this answer






          New contributor




          Oscar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
          Check out our Code of Conduct.









          answered 13 hours ago









          OscarOscar

          213




          213




          New contributor




          Oscar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
          Check out our Code of Conduct.





          New contributor





          Oscar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
          Check out our Code of Conduct.






          Oscar is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
          Check out our Code of Conduct.





















              0














              This idiom can be justified using modular arithmetic. We can think of indices as referring to a cell in a list obtained by walking forward i elements. -1 referring to the last element of the list is a natural generalization of this, since we arrive at the last element in the list if we walk backwards one step from the start of the list.



              For any list xs and index i positive or negative, the expression



              xs[i]


              will either have the same value as the expression below or produce an IndexError:



              xs[i % len(xs)]


              The index of the last element is -1 + len(xs) which is congruent to -1 mod len(xs). For example, in an array of length 12, the canonical index of the last element is 11. 11 is congruent to -1 mod 12.



              In Python, though, arrays are more often used as linear data structures than circular ones, so indexes larger than len(xs) or smaller than -1-len(xs) are out of bounds since there's seldom a need for them and the effects would be really counterintuitive if the size of the array ever changed.






              share|improve this answer



























                0














                This idiom can be justified using modular arithmetic. We can think of indices as referring to a cell in a list obtained by walking forward i elements. -1 referring to the last element of the list is a natural generalization of this, since we arrive at the last element in the list if we walk backwards one step from the start of the list.



                For any list xs and index i positive or negative, the expression



                xs[i]


                will either have the same value as the expression below or produce an IndexError:



                xs[i % len(xs)]


                The index of the last element is -1 + len(xs) which is congruent to -1 mod len(xs). For example, in an array of length 12, the canonical index of the last element is 11. 11 is congruent to -1 mod 12.



                In Python, though, arrays are more often used as linear data structures than circular ones, so indexes larger than len(xs) or smaller than -1-len(xs) are out of bounds since there's seldom a need for them and the effects would be really counterintuitive if the size of the array ever changed.






                share|improve this answer

























                  0












                  0








                  0







                  This idiom can be justified using modular arithmetic. We can think of indices as referring to a cell in a list obtained by walking forward i elements. -1 referring to the last element of the list is a natural generalization of this, since we arrive at the last element in the list if we walk backwards one step from the start of the list.



                  For any list xs and index i positive or negative, the expression



                  xs[i]


                  will either have the same value as the expression below or produce an IndexError:



                  xs[i % len(xs)]


                  The index of the last element is -1 + len(xs) which is congruent to -1 mod len(xs). For example, in an array of length 12, the canonical index of the last element is 11. 11 is congruent to -1 mod 12.



                  In Python, though, arrays are more often used as linear data structures than circular ones, so indexes larger than len(xs) or smaller than -1-len(xs) are out of bounds since there's seldom a need for them and the effects would be really counterintuitive if the size of the array ever changed.






                  share|improve this answer













                  This idiom can be justified using modular arithmetic. We can think of indices as referring to a cell in a list obtained by walking forward i elements. -1 referring to the last element of the list is a natural generalization of this, since we arrive at the last element in the list if we walk backwards one step from the start of the list.



                  For any list xs and index i positive or negative, the expression



                  xs[i]


                  will either have the same value as the expression below or produce an IndexError:



                  xs[i % len(xs)]


                  The index of the last element is -1 + len(xs) which is congruent to -1 mod len(xs). For example, in an array of length 12, the canonical index of the last element is 11. 11 is congruent to -1 mod 12.



                  In Python, though, arrays are more often used as linear data structures than circular ones, so indexes larger than len(xs) or smaller than -1-len(xs) are out of bounds since there's seldom a need for them and the effects would be really counterintuitive if the size of the array ever changed.







                  share|improve this answer












                  share|improve this answer



                  share|improve this answer










                  answered 2 hours ago









                  Gregory NisbetGregory Nisbet

                  3,24321334




                  3,24321334





















                      -4














                      In a comment, abraham asked




                      I wish python has another mechanism to get list backward.




                      For another way to access lists backwards, one could simply first reverse the list and then access the elements as usual:



                      lst = ["a", "b", "c", "d"]
                      print(lst[::-1][0]) # "d"
                      print(lst[::-1][1]) # "c"





                      share|improve this answer










                      New contributor




                      Michael Engen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                      Check out our Code of Conduct.















                      • 2





                        True, but not really answer the question "why".

                        – Valentino
                        16 hours ago






                      • 4





                        It's a waste of ressources to create a whole new list in order to retrieve a single element.

                        – Eric Duminil
                        14 hours ago











                      • What is the use of showing another way to solve a task when it is all of, syntaxly, logically and computationally more complex than the standard method?

                        – Sam
                        11 hours ago












                      • @Sam Why use C when we got Assembly?

                        – mid
                        11 hours ago















                      -4














                      In a comment, abraham asked




                      I wish python has another mechanism to get list backward.




                      For another way to access lists backwards, one could simply first reverse the list and then access the elements as usual:



                      lst = ["a", "b", "c", "d"]
                      print(lst[::-1][0]) # "d"
                      print(lst[::-1][1]) # "c"





                      share|improve this answer










                      New contributor




                      Michael Engen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                      Check out our Code of Conduct.















                      • 2





                        True, but not really answer the question "why".

                        – Valentino
                        16 hours ago






                      • 4





                        It's a waste of ressources to create a whole new list in order to retrieve a single element.

                        – Eric Duminil
                        14 hours ago











                      • What is the use of showing another way to solve a task when it is all of, syntaxly, logically and computationally more complex than the standard method?

                        – Sam
                        11 hours ago












                      • @Sam Why use C when we got Assembly?

                        – mid
                        11 hours ago













                      -4












                      -4








                      -4







                      In a comment, abraham asked




                      I wish python has another mechanism to get list backward.




                      For another way to access lists backwards, one could simply first reverse the list and then access the elements as usual:



                      lst = ["a", "b", "c", "d"]
                      print(lst[::-1][0]) # "d"
                      print(lst[::-1][1]) # "c"





                      share|improve this answer










                      New contributor




                      Michael Engen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                      Check out our Code of Conduct.










                      In a comment, abraham asked




                      I wish python has another mechanism to get list backward.




                      For another way to access lists backwards, one could simply first reverse the list and then access the elements as usual:



                      lst = ["a", "b", "c", "d"]
                      print(lst[::-1][0]) # "d"
                      print(lst[::-1][1]) # "c"






                      share|improve this answer










                      New contributor




                      Michael Engen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                      Check out our Code of Conduct.









                      share|improve this answer



                      share|improve this answer








                      edited 14 hours ago





















                      New contributor




                      Michael Engen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                      Check out our Code of Conduct.









                      answered 16 hours ago









                      Michael EngenMichael Engen

                      12




                      12




                      New contributor




                      Michael Engen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                      Check out our Code of Conduct.





                      New contributor





                      Michael Engen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                      Check out our Code of Conduct.






                      Michael Engen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                      Check out our Code of Conduct.







                      • 2





                        True, but not really answer the question "why".

                        – Valentino
                        16 hours ago






                      • 4





                        It's a waste of ressources to create a whole new list in order to retrieve a single element.

                        – Eric Duminil
                        14 hours ago











                      • What is the use of showing another way to solve a task when it is all of, syntaxly, logically and computationally more complex than the standard method?

                        – Sam
                        11 hours ago












                      • @Sam Why use C when we got Assembly?

                        – mid
                        11 hours ago












                      • 2





                        True, but not really answer the question "why".

                        – Valentino
                        16 hours ago






                      • 4





                        It's a waste of ressources to create a whole new list in order to retrieve a single element.

                        – Eric Duminil
                        14 hours ago











                      • What is the use of showing another way to solve a task when it is all of, syntaxly, logically and computationally more complex than the standard method?

                        – Sam
                        11 hours ago












                      • @Sam Why use C when we got Assembly?

                        – mid
                        11 hours ago







                      2




                      2





                      True, but not really answer the question "why".

                      – Valentino
                      16 hours ago





                      True, but not really answer the question "why".

                      – Valentino
                      16 hours ago




                      4




                      4





                      It's a waste of ressources to create a whole new list in order to retrieve a single element.

                      – Eric Duminil
                      14 hours ago





                      It's a waste of ressources to create a whole new list in order to retrieve a single element.

                      – Eric Duminil
                      14 hours ago













                      What is the use of showing another way to solve a task when it is all of, syntaxly, logically and computationally more complex than the standard method?

                      – Sam
                      11 hours ago






                      What is the use of showing another way to solve a task when it is all of, syntaxly, logically and computationally more complex than the standard method?

                      – Sam
                      11 hours ago














                      @Sam Why use C when we got Assembly?

                      – mid
                      11 hours ago





                      @Sam Why use C when we got Assembly?

                      – mid
                      11 hours ago










                      abraham is a new contributor. Be nice, and check out our Code of Conduct.









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There's a third YouTube co-founder"سایت یوتیوب برای چندمین بار در ایران فیلتر شدنسخهٔ اصلیسالار کمانگر جوان آمریکایی ایرانی الاصل مدیر سایت یوتیوب شدنسخهٔ اصلیVideo websites pop up, invite postingsthe originalthe originalYouTube: Overnight success has sparked a backlashthe original"Me at the zoo"YouTube serves up 100 million videos a day onlinethe originalcomScore Releases May 2010 U.S. Online Video Rankingsthe originalYouTube hits 4 billion daily video viewsthe originalYouTube users uploading two days of video every minutethe originalEric Schmidt, Princeton Colloquium on Public & Int'l Affairsthe original«Streaming Dreams»نسخهٔ اصلیAlexa Traffic Rank for YouTube (three month average)the originalHelp! YouTube is killing my business!the originalUtube sues YouTubethe originalGoogle closes $A2b YouTube dealthe originalFlash moves on to smart phonesthe originalYouTube HTML5 Video Playerنسخهٔ اصلیYouTube HTML5 Video Playerthe originalGoogle tries freeing Web video with WebMthe originalVideo length for uploadingthe originalYouTube caps video lengths to reduce infringementthe originalAccount Types: Longer videosthe originalYouTube bumps video limit to 15 minutesthe originalUploading large files and resumable uploadingthe originalVideo Formats: File formatsthe originalGetting Started: File formatsthe originalThe quest for a new video codec in Flash 8the originalAdobe Flash Video File Format Specification Version 10.1the originalYouTube Mobile goes livethe originalYouTube videos go HD with a simple hackthe originalYouTube now supports 4k-resolution videosthe originalYouTube to get high-def 1080p playerthe original«Approximate YouTube Bitrates»نسخهٔ اصلی«Bigger and Better: Encoding for YouTube 720p HD»نسخهٔ اصلی«YouTube's 1080p – Failure Depends on How You Look At It»نسخهٔ اصلیYouTube in 3Dthe originalYouTube in 3D?the originalYouTube 3D Videosthe originalYouTube adds a dimension, 3D goggles not includedthe originalYouTube Adds Stereoscopic 3D Video Support (And 3D Vision Support, Too)the original«Sharing YouTube Videos»نسخهٔ اصلی«Downloading videos from YouTube is not supported, except for one instance when it is permitted.»نسخهٔ اصلی«Terms of Use, 5.B»نسخهٔ اصلی«Some YouTube videos get download option»نسخهٔ اصلی«YouTube looks out for content owners, disables video ripping»«Downloading videos from YouTube is not supported, except for one instance when it is permitted.»نسخهٔ اصلی«YouTube Hopes To Boost Revenue With Video Downloads»نسخهٔ اصلی«YouTube Mobile»نسخهٔ اصلی«YouTube Live on Apple TV Today; Coming to iPhone on June 29»نسخهٔ اصلی«Goodbye Flash: YouTube mobile goes HTML5 on iPhone and Android»نسخهٔ اصلی«YouTube Mobile Goes HTML5, Video Quality Beats Native Apps Hands Down»نسخهٔ اصلی«TiVo Getting YouTube Streaming Today»نسخهٔ اصلی«YouTube video comes to Wii and PlayStation 3 game consoles»نسخهٔ اصلی«Coming Up Next... YouTube on Your TV»نسخهٔ اصلی«Experience YouTube XL on the Big Screen»نسخهٔ اصلی«Xbox Live Getting Live TV, YouTube & Bing Voice Search»نسخهٔ اصلی«YouTube content locations»نسخهٔ اصلی«April fools: YouTube turns the world up-side-down»نسخهٔ اصلی«YouTube goes back to 1911 for April Fools' Day»نسخهٔ اصلی«Simon Cowell's bromance, the self-driving Nascar and Hungry Hippos for iPad... the best April Fools' gags»نسخهٔ اصلی"YouTube Announces It Will Shut Down""YouTube Adds Darude 'Sandstorm' Button To Its Videos For April Fools' Day"«Censorship fears rise as Iran blocks access to top websites»نسخهٔ اصلی«China 'blocks YouTube video site'»نسخهٔ اصلی«YouTube shut down in Morocco»نسخهٔ اصلی«Thailand blocks access to YouTube»نسخهٔ اصلی«Ban on YouTube lifted after deal»نسخهٔ اصلی«Google's Gatekeepers»نسخهٔ اصلی«Turkey goes into battle with Google»نسخهٔ اصلی«Turkey lifts two-year ban on YouTube»نسخهٔ اصلیسانسور در ترکیه به یوتیوب رسیدلغو فیلترینگ یوتیوب در ترکیه«Pakistan blocks YouTube website»نسخهٔ اصلی«Pakistan lifts the ban on YouTube»نسخهٔ اصلی«Pakistan blocks access to YouTube in internet crackdown»نسخهٔ اصلی«Watchdog urges Libya to stop blocking websites»نسخهٔ اصلی«YouTube»نسخهٔ اصلی«Due to abuses of religion, customs Emirates, YouTube is blocked in the UAE»نسخهٔ اصلی«Google Conquered The Web - An Ultimate Winner»نسخهٔ اصلی«100 million videos are viewed daily on YouTube»نسخهٔ اصلی«Harry and Charlie Davies-Carr: Web gets taste for biting baby»نسخهٔ اصلی«Meet YouTube's 224 million girl, Natalie Tran»نسخهٔ اصلی«YouTube to Double Down on Its 'Channel' Experiment»نسخهٔ اصلی«13 Some Media Companies Choose to Profit From Pirated YouTube Clips»نسخهٔ اصلی«Irate HK man unlikely Web hero»نسخهٔ اصلی«Web Guitar Wizard Revealed at Last»نسخهٔ اصلی«Charlie bit my finger – again!»نسخهٔ اصلی«Lowered Expectations: Web Redefines 'Quality'»نسخهٔ اصلی«YouTube's 50 Greatest Viral Videos»نسخهٔ اصلیYouTube Community Guidelinesthe original«Why did my YouTube account get closed down?»نسخهٔ اصلی«Why do I have a sanction on my account?»نسخهٔ اصلی«Is YouTube's three-strike rule fair to users?»نسخهٔ اصلی«Viacom will sue YouTube for $1bn»نسخهٔ اصلی«Mediaset Files EUR500 Million Suit Vs Google's YouTube»نسخهٔ اصلی«Premier League to take action against YouTube»نسخهٔ اصلی«YouTube law fight 'threatens net'»نسخهٔ اصلی«Google must divulge YouTube log»نسخهٔ اصلی«Google Told to Turn Over User Data of YouTube»نسخهٔ اصلی«US judge tosses out Viacom copyright suit against YouTube»نسخهٔ اصلی«Google and Viacom: YouTube copyright lawsuit back on»نسخهٔ اصلی«Woman can sue over YouTube clip de-posting»نسخهٔ اصلی«YouTube loses court battle over music clips»نسخهٔ اصلیYouTube to Test Software To Ease Licensing Fightsthe original«Press Statistics»نسخهٔ اصلی«Testing YouTube's Audio Content ID System»نسخهٔ اصلی«Content ID disputes»نسخهٔ اصلیYouTube Community Guidelinesthe originalYouTube criticized in Germany over anti-Semitic Nazi videosthe originalFury as YouTube carries sick Hillsboro video insultthe originalYouTube attacked by MPs over sex and violence footagethe originalAl-Awlaki's YouTube Videos Targeted by Rep. Weinerthe originalYouTube Withdraws Cleric's Videosthe originalYouTube is letting users decide on terrorism-related videosthe original«Time's Person of the Year: You»نسخهٔ اصلی«Our top 10 funniest YouTube comments – what are yours?»نسخهٔ اصلی«YouTube's worst comments blocked by filter»نسخهٔ اصلی«Site Info YouTube»نسخهٔ اصلیوبگاه YouTubeوبگاه موبایل YouTubeوووووو

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                      Rest API with Magento using PHP with example. Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern) Announcing the arrival of Valued Associate #679: Cesar Manara Unicorn Meta Zoo #1: Why another podcast?How to update product using magento client library for PHP?Oauth Error while extending Magento Rest APINot showing my custom api in wsdl(url) and web service list?Using Magento API(REST) via IXMLHTTPRequest COM ObjectHow to login in Magento website using REST APIREST api call for Guest userMagento API calling using HTML and javascriptUse API rest media management by storeView code (admin)Magento REST API Example ErrorsHow to log all rest api calls in magento2?How to update product using magento client library for PHP?