code: def synchronized(mask):
      """generate a function, where some input tracks another input
  
      mask should be a dictionary of positional index and tracked index (e.g. {0:1}),
      where keys and values should be different integers. However, if a tuple is
      provided instead of the tracked index (e.g. {0:(1,lambda x:2*x)} or {0:(1,2)}),
      the second member of the tuple will be used to scale the tracked index.
  
      functions are expected to take a single argument, a n-dimensional list or array,
      where the mask will be applied to the input array.
  
      operations within a single mask are unordered. If a specific ordering of
      operations is required, apply multiple masks in the desired order.
  
      Examples:
          >>> @synchronized({0:1,3:-1})
          ... def same(x):
          ...     return x
          ...
          >>> same([-5,9])
          [9, 9]
          >>> same([0,1,2,3,4])
          [1, 1, 2, 4, 4]
          >>> same([0,9,2,3,6])
          [9, 9, 2, 6, 6]
          >>>
          >>> @synchronized({0:(1,lambda x:1/x),3:(1,-1)})
          ... def doit(x):
          ...   return x
          ...
          >>> doit([-5.,9.])
          [0.1111111111111111, 9.0]
          >>> doit([0.,1.,2.,3.,4.])
          [1.0, 1.0, 2.0, -1.0, 4.0]
          >>> doit([0.,9.,2.,3.,6.])
          [0.1111111111111111, 9.0, 2.0, -9.0, 6.0]
          >>>
          >>> @synchronized({1:2})
          ... @synchronized({0:1})
          ... def invert(x):
          ...   return [-i for i in x]
          ...
          >>> invert([0,1,2,3,4])
          [-2, -2, -2, -3, -4]
      """
  
      def dec(f):
          def func(x, *args, **kwds):
              for i, j in mask.items():
                  try:
                      x[i] = x[j]
                  except (
                      TypeError
                  ):  # value is tuple with f(x) or constant
                      j0, j1 = (j[:2] + (1,))[:2]
                      try:
                          x[i] = (
                              j1(x[j0])
                              if isinstance(j1, _Callable)
                              else j1 * x[j0]
                          )
                      except IndexError:
                          pass
                  except IndexError:
                      pass
              return f(x, *args, **kwds)
  
          func.__wrapped__ = f  # XXX: getattr(f, '__wrapped__', f) ?
          func.__doc__ = f.__doc__
          func.mask = mask
          return func
  
      return dec
  
imports: from functools import reduce
  from collections.abc import Callable
  from mystic._counter import Counter
  from itertools import permutations
  from dill.source import getblocks
  from dill.source import getsource
  from mystic.monitors import Monitor
  from mystic.monitors import VerboseMonitor
  from mystic.monitors import LoggingMonitor
  from mystic.monitors import CustomMonitor
  from mystic.monitors import Null
label_desc: Use image node_id 34 for calling a global function with example usage: synchronized(mask) and returns: dec, func, f