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authorWilliam Carroll <wpcarro@gmail.com>2020-02-06T16·56+0000
committerWilliam Carroll <wpcarro@gmail.com>2020-02-06T16·56+0000
commit5df3bb4e40c039b1736627be36515d18a38638b6 (patch)
tree5fa0ab24101d4a6cbad03be49e5dab40477e2377 /deepmind/part_one/find-rotation-point.py
parentb4dd290745ae314f831880be5a3335155d25951f (diff)
Partition deepmind directory into two parts
Since I did not pass my one-site interview with DM, but I have been invited to
attempt again, I decided to partition this directory into two parts:
1. part_one: Hosting the exercises that I completed before my first attempt at
   earning the job.
2. part_two: Hosting the exercise that I will complete before my second attempt
   at earning the job.
Diffstat (limited to 'deepmind/part_one/find-rotation-point.py')
-rw-r--r--deepmind/part_one/find-rotation-point.py55
1 files changed, 55 insertions, 0 deletions
diff --git a/deepmind/part_one/find-rotation-point.py b/deepmind/part_one/find-rotation-point.py
new file mode 100644
index 000000000000..5c21d5167ce9
--- /dev/null
+++ b/deepmind/part_one/find-rotation-point.py
@@ -0,0 +1,55 @@
+import unittest
+from math import floor
+
+
+def midpoint(a, b):
+    return a + floor((b - a) / 2)
+
+
+def do_find_rotation_point(a, b, xs):
+    i = midpoint(a, b)
+    count = b - a + 1
+
+    if count == 2:
+        if xs[a] > xs[b]:
+            return b
+        else:
+            return -1
+
+    if i in {a, b}:
+        return i
+
+    if xs[a] < xs[i]:
+        return do_find_rotation_point(i, b, xs)
+    else:
+        return do_find_rotation_point(a, i, xs)
+
+
+def find_rotation_point(xs):
+    return do_find_rotation_point(0, len(xs) - 1, xs)
+
+
+# Tests
+class Test(unittest.TestCase):
+    def test_small_list(self):
+        actual = find_rotation_point(['cape', 'cake'])
+        expected = 1
+        self.assertEqual(actual, expected)
+
+    def test_medium_list(self):
+        actual = find_rotation_point(
+            ['grape', 'orange', 'plum', 'radish', 'apple'])
+        expected = 4
+        self.assertEqual(actual, expected)
+
+    def test_large_list(self):
+        actual = find_rotation_point([
+            'ptolemaic', 'retrograde', 'supplant', 'undulate', 'xenoepist',
+            'asymptote', 'babka', 'banoffee', 'engender', 'karpatka',
+            'othellolagkage'
+        ])
+        expected = 5
+        self.assertEqual(actual, expected)
+
+
+unittest.main(verbosity=2)