about summary refs log tree commit diff
path: root/scratch/data_structures_and_algorithms/perm-tree.py
diff options
context:
space:
mode:
authorWilliam Carroll <wpcarro@gmail.com>2020-02-12T16·58+0000
committerWilliam Carroll <wpcarro@gmail.com>2020-02-12T16·58+0000
commitfabf1c9334a86d55be133da851cafccc9e6319fe (patch)
treee5c07cbe676c4955d9a48742d00e0081b16b3446 /scratch/data_structures_and_algorithms/perm-tree.py
parent5ec5a6da8cbfe3c35558fd2c17ef779b5d0ccb54 (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.py83
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)