Tip 1: Understand common patterns, such as sliding windows and prefix sums, for optimization.
Tip 2: Solve problems related to binary search tree operations (insertion, deletion, search).
Tip 3: Focus on dynamic programming techniques for problems like the longest common subsequence.
Tip 1: Add factual information about the projects you’ve worked on.
Tip 2: Only mention the skills you actually possess, and avoid listing fake ones.



You are given ‘str’ = ‘abbbbbbc’ and ‘K’ = 2, then the substrings that can be formed are [‘abbbbbb’, ‘bbbbbbc’]. Hence the answer is 7.
Step 1: I started by thinking about how to approach this problem using two-pointers. Initially, I set both the left and right pointers at the start of the string and considered expanding the window by moving the right pointer to the right.
Step 2: I realized that as the window expanded, I needed to track how many distinct characters were inside it. So, I used a hashmap (or dictionary) to count the frequency of each character within the window.
Step 3: As I moved the right pointer, I kept updating the hashmap with the character counts. If the number of distinct characters (i.e., the size of the hashmap) ever exceeded k, I knew I needed to shrink the window. So, I moved the left pointer to the right until the window contained at most k distinct characters again.
Step 4: While doing this, I kept track of the maximum length of the window that satisfied the condition (i.e., at most k distinct characters).
Step 5: This approach only required one pass through the string, making it much more efficient (O(n)) compared to using nested loops or sorting.



For the given 5 intervals - [1, 4], [3, 5], [6, 8], [10, 12], [8, 9].
Since intervals [1, 4] and [3, 5] overlap with each other, we will merge them into a single interval as [1, 5].
Similarly, [6, 8] and [8, 9] overlap, merge them into [6,9].
Interval [10, 12] does not overlap with any interval.
Final List after merging overlapping intervals: [1, 5], [6, 9], [10, 12].
Step 1: I began by considering how to handle the intervals. The first approach that came to mind was sorting the intervals based on their start times. This seemed like a natural solution because, if the intervals are sorted, any overlapping intervals will be next to each other.
Step 2: Once the intervals were sorted, I knew I had to check each interval against the last merged interval. If the current interval started before the last merged interval ended, I would merge them. This meant updating the end of the merged interval to the maximum of the two end times.
Step 3: If the current interval didn’t overlap with the last merged interval, I would simply add the current interval to the list of merged intervals.
Step 4: After processing the entire list of intervals, I would have the final list with all overlaps merged.
Step 5: I realized this could be done in O(n log n) time complexity because sorting the intervals takes O(n log n), and then merging the intervals in a single pass takes O(n). This seemed to be the most efficient approach.



Can you do the above task in a minimum number of comparisons?
Step 1: I began by iterating through the array and comparing each element with the current highest and lowest values. Initially, I set the first element as both the highest and lowest. This seemed like the simplest approach.
Step 2: The interviewer asked me to optimize the solution, as it could be done more efficiently without sorting or making multiple passes through the array.
Step 3: I then realized that I could achieve this in a single traversal by updating the highest and lowest values as I went through the array, comparing each element with the current maximum and minimum values. This reduced the complexity to O(n), which was much better.



Input: Consider the following Binary Tree:
Output:
Following is the level-order traversal of the given Binary Tree: [1, 2, 3, 5, 6, 4]
Step 1: Initially, I considered using recursion to traverse the tree, but I quickly realized that it wasn’t the best approach for visiting nodes level by level.
Step 2: So, I switched to using a queue. I added the root node to the queue and started processing its children one at a time.
Step 3: As I moved through each level, I kept adding the child nodes of the current level to the queue. This helped me traverse the tree level by level, and the interviewer seemed satisfied with how I approached the problem.



In the below graph, there exists a cycle between vertex 1, 2 and 3.

1. There are no parallel edges between two vertices.
2. There are no self-loops(an edge connecting the vertex to itself) in the graph.
3. The graph can be disconnected.
Input: N = 3 , Edges = [[1, 2], [2, 3], [1, 3]].
Output: Yes
Explanation : There are a total of 3 vertices in the graph. There is an edge between vertex 1 and 2, vertex 2 and 3 and vertex 1 and 3. So, there exists a cycle in the graph.
Step 1: I started by iterating through the array and comparing each element with the current highest and lowest values. Initially, I set the first element as both the highest and lowest. This seemed like the simplest approach.
Step 2: The interviewer asked me to optimize the solution, as it could be done more efficiently without sorting or making multiple passes through the array.
Step 3: I then realized that I could achieve this in a single traversal by updating the highest and lowest values as I went through the array, comparing each element with the current maximum and minimum values. This way, I reduced the complexity to O(n), which was much more efficient.

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