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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def apply(self, value, input_ranges, backend=None):
 """ Apply the compositor on the input with the given input ranges. """

        from .overlay import CompositeOverlay
        if backend is None: backend = Store.current_backend
        kwargs = {k: v for k, v in self.kwargs.items() if k != 'output_type'}
        if isinstance(value, CompositeOverlay) and len(value) == 1:
            value = value.values()[0]
            if self.transfer_parameters:
                plot_opts = Store.lookup_options(backend, value, 'plot').kwargs
                kwargs.update({k: v for k, v in plot_opts.items()
                               if k in self.operation.params()})

        transformed = self.operation(value, input_ranges=input_ranges, **kwargs)
        if self.transfer_options:
            Store.transfer_options(value, transformed, backend)
        return transformed