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Count ordered full binary-tree shapes with zero to 100 internal nodes using exact integers. Test the single leaf and small known counts, rejecting Boolean or out-of-range inputs without constructing all trees.
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Describe the input, expected output and boundaries that must stay intact.
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Compare actual behavior with the expected result. If a check fails, investigate it before applying more changes.
def tree_shapes(internal_nodes):
if type(internal_nodes) is not int or not 0 <= internal_nodes <= 100:
raise ValueError("shapes.nodes")
counts = [1] + [0]*internal_nodes
for size in range(1, internal_nodes+1):
counts[size] = sum(counts[left]*counts[size-1-left] for left in range(size))
return counts[internal_nodes]
The example is a starting point for a real project, not a claim that generated code is already tested. Adjust paths, dependencies and expected behavior to match your application.