1 files changed, 94 insertions, 0 deletions
diff --git a/data_structures_and_algorithms/merging-ranges.py b/data_structures_and_algorithms/merging-ranges.py
new file mode 100644
index 000000000000..4e3604d5bcca
--- /dev/null
+++ b/data_structures_and_algorithms/merging-ranges.py
@@ -0,0 +1,94 @@
+import unittest
+
+
+################################################################################
+# Solution
+################################################################################
+# do_merge_ranges :: [(Int, Int)] -> [(Int, Int)] -> [(Int, Int)]
+def do_merge_ranges(prev, xs):
+    if len(xs) == 0:
+        return prev
+    elif len(xs) == 1:
+        return prev + xs
+    else:
+        a1, a2 = xs[0]
+        b1, b2 = xs[1]
+        rest = xs[2:]
+        if b1 <= a2:
+            return do_merge_ranges(prev, [(a1, max(a2, b2))] + rest)
+        else:
+            return do_merge_ranges(prev + [(a1, a2)], [(b1, b2)] + rest)
+
+
+# merge_ranges :: [(Int, Int)] -> [(Int, Int)]
+def merge_ranges(xs):
+    xs = xs[:]
+    xs.sort()
+    return do_merge_ranges([], xs)
+
+
+# merge_ranges_b :: [(Int, Int)] -> [(Int, Int)]
+def merge_ranges_b(xs):
+    fi = 0
+    ci = 1
+    result = []
+    xs = xs[:]
+    xs.sort()
+    while ci < len(xs):
+        while ci < len(xs) and xs[ci][0] <= xs[fi][1]:
+            xs[fi] = xs[fi][0], max(xs[ci][1], xs[fi][1])
+            ci += 1
+        result.append(xs[fi])
+        fi = ci
+        ci += 1
+    if fi < len(xs):
+        result.append(xs[fi])
+    return result
+
+
+################################################################################
+# Tests
+################################################################################
+class Test(unittest.TestCase):
+    def test_meetings_overlap(self):
+        actual = merge_ranges([(1, 3), (2, 4)])
+        expected = [(1, 4)]
+        self.assertEqual(actual, expected)
+
+    def test_meetings_touch(self):
+        actual = merge_ranges([(5, 6), (6, 8)])
+        expected = [(5, 8)]
+        self.assertEqual(actual, expected)
+
+    def test_meeting_contains_other_meeting(self):
+        actual = merge_ranges([(1, 8), (2, 5)])
+        expected = [(1, 8)]
+        self.assertEqual(actual, expected)
+
+    def test_meetings_stay_separate(self):
+        actual = merge_ranges([(1, 3), (4, 8)])
+        expected = [(1, 3), (4, 8)]
+        self.assertEqual(actual, expected)
+
+    def test_multiple_merged_meetings(self):
+        actual = merge_ranges([(1, 4), (2, 5), (5, 8)])
+        expected = [(1, 8)]
+        self.assertEqual(actual, expected)
+
+    def test_meetings_not_sorted(self):
+        actual = merge_ranges([(5, 8), (1, 4), (6, 8)])
+        expected = [(1, 4), (5, 8)]
+        self.assertEqual(actual, expected)
+
+    def test_one_long_meeting_contains_smaller_meetings(self):
+        actual = merge_ranges([(1, 10), (2, 5), (6, 8), (9, 10), (10, 12)])
+        expected = [(1, 12)]
+        self.assertEqual(actual, expected)
+
+    def test_sample_input(self):
+        actual = merge_ranges([(0, 1), (3, 5), (4, 8), (10, 12), (9, 10)])
+        expected = [(0, 1), (3, 8), (9, 12)]
+        self.assertEqual(actual, expected)
+
+
+unittest.main(verbosity=2)