99 problems - python - 58

Generate-and-test paradigm

Apply the generate-and-test paradigm to construct all symmetric, completely balanced binary trees with a given number of nodes.

# Example:

# * sym-cbal-trees(5,Ts).
# Ts = [t(x, t(x, nil, t(x, nil, nil)), t(x, t(x, nil, nil), nil)), t(x, t(x, t(x, nil, nil), nil), t(x, nil, t(x, nil, nil)))] 
def symmetric_completely_balanced_trees(node_count):
    return [tree for tree in completely_balanced_tree(node_count) \
                if symmetric_binary_tree(tree)]