Add week 13 solutions: insertInterval, mergeIntervals

insert-interval/yolophg.js

@@ -0,0 +1,30 @@
+// Time Complexity: O(n log n)
+// Space Complexity: O(n)
+
+var insert = function (intervals, newInterval) {
+  // append the newInterval to the intervals array
+  intervals.push(newInterval);
+
+  // sort the intervals array by start time
+  intervals.sort((a, b) => a[0] - b[0]);
+
+  // to store merged intervals
+  let result = [];
+
+  // iterate through the sorted intervals array
+  for (let i = 0; i < intervals.length; i++) {
+    // if the result array is empty or the current interval does not overlap with the last interval
+    if (result.length === 0 || result[result.length - 1][1] < intervals[i][0]) {
+      result.push(intervals[i]); // Add the current interval to the result array
+    } else {
+      // if there is an overlap, merge the current interval with the last interval
+      result[result.length - 1][1] = Math.max(
+        result[result.length - 1][1],
+        intervals[i][1]
+      );
+    }
+  }
+
+  // return the final merged intervals
+  return result;
+};

merge-intervals/yolophg.js

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+// Time Complexity: O(n log n)
+// Space Complexity: O(n)
+
+var merge = function (intervals) {
+  // sort the intervals by their start time
+  intervals.sort((a, b) => a[0] - b[0]);
+
+  // to manage merged intervals
+  let stack = [];
+
+  // push the first interval onto the stack
+  stack.push(intervals[0]);
+
+  // iterate through the sorted intervals
+  for (let i = 1; i < intervals.length; i++) {
+    // get the top interval from the stack
+    let top = stack[stack.length - 1];
+
+    // if the current interval overlaps with the top interval
+    if (top[1] >= intervals[i][0]) {
+      // merge the intervals by updating the end of the top interval
+      top[1] = Math.max(top[1], intervals[i][1]);
+    } else {
+      // if there is no overlap, push the current interval onto the stack
+      stack.push(intervals[i]);
+    }
+  }
+
+  // return the final merged intervals
+  return stack;
+};