feat(work): implement insert interval solution

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

@@ -55,6 +55,27 @@ Constraints:
         • 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