human
Solve the following python programming problem given the following code:
def _precompile_kernels(self, nbtype) : 
    from numba import cuda 
    if (key not in self._cached_types) : 
        for blocksize in (1, 2, 4, 8, 16, 32, 64, 128, 256, 512) : 
            key = (nbtype, blocksize) 
            self._kernels [key] = reduction_template (self._binop, nbtype, blocksize) 
binop = cuda.jit ((nbtype, nbtype), device = True) (self._binop) 
        @ cuda.jit ((nbtype [:], nbtype)) 
        def reduction_finish(arr, init) : 
            arr [0] = binop (arr [0], init) 
self._kernels [(nbtype, 0)] = reduction_finish 
        self._cached_types.add (nbtype) 

    
    

    Fix the buggy line: if (key not in self._cached_types) :
assistant
#Here is Python program to fix the buggy line: if (key not in self.

if (nbtype not in self._cached_types) :