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author | William Carroll <wpcarro@gmail.com> | 2020-02-12T16·58+0000 |
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committer | William Carroll <wpcarro@gmail.com> | 2020-02-12T16·58+0000 |
commit | fabf1c9334a86d55be133da851cafccc9e6319fe (patch) | |
tree | e5c07cbe676c4955d9a48742d00e0081b16b3446 /scratch/data_structures_and_algorithms/perm-tree.py | |
parent | 5ec5a6da8cbfe3c35558fd2c17ef779b5d0ccb54 (diff) |
Tidy up structure of briefcase
I had a spare fifteen minutes and decided that I should tidy up my monorepo. The work of tidying up is not finished; this is a small step in the right direction. TL;DR - Created a tools directory - Created a scratch directory (see README.md for more information) - Added README.md to third_party - Renamed delete_dotfile_symlinks -> symlinkManager - Packaged symlinkManager as an executable symlink-mgr using buildGo
Diffstat (limited to 'scratch/data_structures_and_algorithms/perm-tree.py')
-rw-r--r-- | scratch/data_structures_and_algorithms/perm-tree.py | 83 |
1 files changed, 83 insertions, 0 deletions
diff --git a/scratch/data_structures_and_algorithms/perm-tree.py b/scratch/data_structures_and_algorithms/perm-tree.py new file mode 100644 index 000000000000..0eb389c26bb9 --- /dev/null +++ b/scratch/data_structures_and_algorithms/perm-tree.py @@ -0,0 +1,83 @@ +import unittest + + +################################################################################ +# Answer +################################################################################ +class Node(object): + def __init__(self, value, children=set()): + self.value = value + self.children = children + + +# treeify :: Char -> Set(Char) -> Node(Char) +def treeify(x, xs): + return Node(x, [treeify(c, xs - {c}) for c in xs]) + + +# dft :: Node(Char) -> [String] +def dft(node): + result = [] + s = [] + + s.append(('', node)) + + while s: + p, n = s.pop() + p += str(n.value) + + if not n.children: + result.append(p) + else: + for c in n.children: + s.append((p, c)) + + return result + + +# main :: String -> Set(String) +def get_permutations(xs): + if xs == '': + return set(['']) + + ys = set(xs) + trees = [] + + for y in ys: + trees.append(treeify(y, ys - {y})) + + result = set() + + for t in trees: + for d in dft(t): + result.add(d) + + return result + + +################################################################################ +# Tests +################################################################################ +class Test(unittest.TestCase): + def test_empty_string(self): + actual = get_permutations('') + expected = set(['']) + self.assertEqual(actual, expected) + + def test_one_character_string(self): + actual = get_permutations('a') + expected = set(['a']) + self.assertEqual(actual, expected) + + def test_two_character_string(self): + actual = get_permutations('ab') + expected = set(['ab', 'ba']) + self.assertEqual(actual, expected) + + def test_three_character_string(self): + actual = get_permutations('abc') + expected = set(['abc', 'acb', 'bac', 'bca', 'cab', 'cba']) + self.assertEqual(actual, expected) + + +unittest.main(verbosity=2) |