How can I build a recursive function in python

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I m wondering whether you meant  recursive   Here is a simple example of a recursive function to compute the factorial function   def factorial n       if n    0          return 1     else          return n   factorial n - 1    The two key elements of a recursive algorithm are    The termination condition  n    0 The reduction step where the function calls itself with a smaller number each time  factorial n - 1

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Recursive function example   def recursive string  num       print    s -  s     string  num      recursive string  num 1    Run it with   recursive  Hello world   0

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Let s say you want to build  u n 1  f u n    with u 0  u0  One solution is to define a simple recursive function    u0        def f x          def u n     if n  0  return u0   return f u n-1     Unfortunately  if you want to calculate high values of u  you will run into a stack overflow error   Another solution is a simple loop   def u n     ux   u0   for i in xrange n       ux f ux    return ux   But if you want multiple values of u for different values of n  this is suboptimal   You could cache all values in an array  but you may run into an out of memory error   You may want to use generators instead   def u n     ux   u0   for i in xrange n       ux f ux    yield ux  for val in u 1000     print val   There are many other options  but I guess these are the main ones

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Recursion in Python works just as recursion in an other language  with the recursive construct defined in terms of itself   For example a recursive class could be a binary tree  or any tree    class tree        def   init   self              Initialise the tree            self Data   None         self Count   0         self LeftSubtree   None         self RightSubtree   None      def Insert self  data              Add an item of data to the tree            if self Data    None              self Data   data             self Count    1         elif data  lt  self Data              if self LeftSubtree    None                    tree is a recurive class definition                 self LeftSubtree   tree                 Insert is a recursive function             self LeftSubtree Insert data          elif data    self Data              self Count    1         elif data  gt  self Data              if self RightSubtree    None                  self RightSubtree   tree               self RightSubtree Insert data   if   name         main         T   tree         The root node     T Insert  b         Will be put into the left subtree     T Insert  a         Will be put into the right subtree     T Insert  c     As already mentioned a recursive structure must have a termination condition   In this class  it is not so obvious because it only recurses if new elements are added  and only does it a single time extra   Also worth noting  python by default has a limit to the depth of recursion available  to avoid absorbing all of the computer s memory   On my computer this is 1000   I don t know if this changes depending on hardware  etc   To see yours    import sys sys getrecursionlimit     and to set it    import sys   if you haven t already  sys setrecursionlimit     edit   I can t guarentee that my binary tree is the most efficient design ever   If anyone can improve it  I d be happy to hear how

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I m wondering whether you meant  recursive   Here is a simple example of a recursive function to compute the factorial function   def factorial n       if n    0          return 1     else          return n   factorial n - 1    The two key elements of a recursive algorithm are    The termination condition  n    0 The reduction step where the function calls itself with a smaller number each time  factorial n - 1

User · Answer

I m wondering whether you meant  recursive   Here is a simple example of a recursive function to compute the factorial function   def factorial n       if n    0          return 1     else          return n   factorial n - 1    The two key elements of a recursive algorithm are    The termination condition  n    0 The reduction step where the function calls itself with a smaller number each time  factorial n - 1

User · Answer

Recursion in Python works just as recursion in an other language  with the recursive construct defined in terms of itself   For example a recursive class could be a binary tree  or any tree    class tree        def   init   self              Initialise the tree            self Data   None         self Count   0         self LeftSubtree   None         self RightSubtree   None      def Insert self  data              Add an item of data to the tree            if self Data    None              self Data   data             self Count    1         elif data  lt  self Data              if self LeftSubtree    None                    tree is a recurive class definition                 self LeftSubtree   tree                 Insert is a recursive function             self LeftSubtree Insert data          elif data    self Data              self Count    1         elif data  gt  self Data              if self RightSubtree    None                  self RightSubtree   tree               self RightSubtree Insert data   if   name         main         T   tree         The root node     T Insert  b         Will be put into the left subtree     T Insert  a         Will be put into the right subtree     T Insert  c     As already mentioned a recursive structure must have a termination condition   In this class  it is not so obvious because it only recurses if new elements are added  and only does it a single time extra   Also worth noting  python by default has a limit to the depth of recursion available  to avoid absorbing all of the computer s memory   On my computer this is 1000   I don t know if this changes depending on hardware  etc   To see yours    import sys sys getrecursionlimit     and to set it    import sys   if you haven t already  sys setrecursionlimit     edit   I can t guarentee that my binary tree is the most efficient design ever   If anyone can improve it  I d be happy to hear how

User · Answer

Let s say you want to build  u n 1  f u n    with u 0  u0  One solution is to define a simple recursive function    u0        def f x          def u n     if n  0  return u0   return f u n-1     Unfortunately  if you want to calculate high values of u  you will run into a stack overflow error   Another solution is a simple loop   def u n     ux   u0   for i in xrange n       ux f ux    return ux   But if you want multiple values of u for different values of n  this is suboptimal   You could cache all values in an array  but you may run into an out of memory error   You may want to use generators instead   def u n     ux   u0   for i in xrange n       ux f ux    yield ux  for val in u 1000     print val   There are many other options  but I guess these are the main ones

User · Answer

Let s say you want to build  u n 1  f u n    with u 0  u0  One solution is to define a simple recursive function    u0        def f x          def u n     if n  0  return u0   return f u n-1     Unfortunately  if you want to calculate high values of u  you will run into a stack overflow error   Another solution is a simple loop   def u n     ux   u0   for i in xrange n       ux f ux    return ux   But if you want multiple values of u for different values of n  this is suboptimal   You could cache all values in an array  but you may run into an out of memory error   You may want to use generators instead   def u n     ux   u0   for i in xrange n       ux f ux    yield ux  for val in u 1000     print val   There are many other options  but I guess these are the main ones

User · Answer

Recursive function example   def recursive string  num       print    s -  s     string  num      recursive string  num 1    Run it with   recursive  Hello world   0

User · Answer

I m wondering whether you meant  recursive   Here is a simple example of a recursive function to compute the factorial function   def factorial n       if n    0          return 1     else          return n   factorial n - 1    The two key elements of a recursive algorithm are    The termination condition  n    0 The reduction step where the function calls itself with a smaller number each time  factorial n - 1

User · Answer

Recursion in Python works just as recursion in an other language  with the recursive construct defined in terms of itself   For example a recursive class could be a binary tree  or any tree    class tree        def   init   self              Initialise the tree            self Data   None         self Count   0         self LeftSubtree   None         self RightSubtree   None      def Insert self  data              Add an item of data to the tree            if self Data    None              self Data   data             self Count    1         elif data  lt  self Data              if self LeftSubtree    None                    tree is a recurive class definition                 self LeftSubtree   tree                 Insert is a recursive function             self LeftSubtree Insert data          elif data    self Data              self Count    1         elif data  gt  self Data              if self RightSubtree    None                  self RightSubtree   tree               self RightSubtree Insert data   if   name         main         T   tree         The root node     T Insert  b         Will be put into the left subtree     T Insert  a         Will be put into the right subtree     T Insert  c     As already mentioned a recursive structure must have a termination condition   In this class  it is not so obvious because it only recurses if new elements are added  and only does it a single time extra   Also worth noting  python by default has a limit to the depth of recursion available  to avoid absorbing all of the computer s memory   On my computer this is 1000   I don t know if this changes depending on hardware  etc   To see yours    import sys sys getrecursionlimit     and to set it    import sys   if you haven t already  sys setrecursionlimit     edit   I can t guarentee that my binary tree is the most efficient design ever   If anyone can improve it  I d be happy to hear how

User · Answer

Recursive function example   def recursive string  num       print    s -  s     string  num      recursive string  num 1    Run it with   recursive  Hello world   0

User · Answer

Recursion in Python works just as recursion in an other language  with the recursive construct defined in terms of itself   For example a recursive class could be a binary tree  or any tree    class tree        def   init   self              Initialise the tree            self Data   None         self Count   0         self LeftSubtree   None         self RightSubtree   None      def Insert self  data              Add an item of data to the tree            if self Data    None              self Data   data             self Count    1         elif data  lt  self Data              if self LeftSubtree    None                    tree is a recurive class definition                 self LeftSubtree   tree                 Insert is a recursive function             self LeftSubtree Insert data          elif data    self Data              self Count    1         elif data  gt  self Data              if self RightSubtree    None                  self RightSubtree   tree               self RightSubtree Insert data   if   name         main         T   tree         The root node     T Insert  b         Will be put into the left subtree     T Insert  a         Will be put into the right subtree     T Insert  c     As already mentioned a recursive structure must have a termination condition   In this class  it is not so obvious because it only recurses if new elements are added  and only does it a single time extra   Also worth noting  python by default has a limit to the depth of recursion available  to avoid absorbing all of the computer s memory   On my computer this is 1000   I don t know if this changes depending on hardware  etc   To see yours    import sys sys getrecursionlimit     and to set it    import sys   if you haven t already  sys setrecursionlimit     edit   I can t guarentee that my binary tree is the most efficient design ever   If anyone can improve it  I d be happy to hear how

User · Answer

Let s say you want to build  u n 1  f u n    with u 0  u0  One solution is to define a simple recursive function    u0        def f x          def u n     if n  0  return u0   return f u n-1     Unfortunately  if you want to calculate high values of u  you will run into a stack overflow error   Another solution is a simple loop   def u n     ux   u0   for i in xrange n       ux f ux    return ux   But if you want multiple values of u for different values of n  this is suboptimal   You could cache all values in an array  but you may run into an out of memory error   You may want to use generators instead   def u n     ux   u0   for i in xrange n       ux f ux    yield ux  for val in u 1000     print val   There are many other options  but I guess these are the main ones

User · Answer

Recursive function example   def recursive string  num       print    s -  s     string  num      recursive string  num 1    Run it with   recursive  Hello world   0

[python] How can I build a recursive function in python?

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