feat(work): implement insert interval solution

work/1/Medium/Array/57.insert-interval.py

@@ -42,19 +42,40 @@ Explanation: Because the new interval [4,8] overlaps with
 
 Constraints:
 
-	• 0 <= intervals.length <= 10^4
+        • 0 <= intervals.length <= 10^4
 
-	• intervals[i].length == 2
+        • intervals[i].length == 2
 
-	• 0 <= starti <= endi <= 10^5
+        • 0 <= starti <= endi <= 10^5
 
-	• intervals is sorted by starti in ascending order.
+        • intervals is sorted by starti in ascending order.
 
-	• newInterval.length == 2
+        • newInterval.length == 2
 
-	• 0 <= start <= end <= 10^5
+        • 0 <= start <= end <= 10^5
 """
 
-class Solution:
-    def insert(self, intervals: list[list[int]], newInterval: list[int]) -> list[list[int]]:
 
+class Solution:
+    def insert(
+        self, intervals: list[list[int]], newInterval: list[int]
+    ) -> list[list[int]]:
+        result = []
+        i, n = 0, len(intervals)
+        start, end = newInterval
+
+        # Everything before
+        while i < n and intervals[i][1] < start:
+            result.append(intervals[i])
+            i += 1
+
+        # Everything merged
+        while i < n and intervals[i][0] <= end:
+            start = min(start, intervals[i][0])
+            end = max(end, intervals[i][1])
+            i += 1
+        result.append([start, end])
+
+        # Everything after
+        result.extend(intervals[i:])
+        return result