Finding the top-K most frequent elements is a classic interview problem that looks simple—but is often used to evaluate how well a candidate understands time complexity, space optimization, and scalability trade-offs.
In this post, we’ll start with a common interview solution, analyze its shortcomings, and progressively evolve it into optimal and scalable approaches suitable for real-world systems.
Problem Statement
Given a list of strings, return the top K most frequent strings.
Example:
Input: ["def","abc","def","abc","def","ghi"]
K = 3
Output: def, abc, ghi
Baseline Interview Solution (Max Heap)
A very common approach is:
Code
Map<String, Integer> map = new HashMap<>();
for (String s : list) {
map.put(s, map.getOrDefault(s, 0) + 1);
}
PriorityQueue<String> pq =
new PriorityQueue<>((a, b) -> map.get(b) - map.get(a));
pq.addAll(map.keySet());
for (int i = 0; i < k; i++) {
System.out.println(pq.poll());
}
Complexity Analysis (Corrected)
Let:
| Step | Complexity |
|---|---|
| Frequency count | O(N) |
| Heap build | O(U log U) |
| Extract top K | O(k log U) |
| Space | O(U) |
What Interviewers Notice
Heap size grows to all unique elements
Comparator uses subtraction → integer overflow risk
Inefficient when
kis small andUis large
Improvement #1: Fix Comparator Overflow
This line is dangerous:
(a, b) -> map.get(b) - map.get(a)
If counts are large, subtraction can overflow.
Safer Version
(a, b) -> Integer.compare(map.get(b), map.get(a))
This is a frequent interview pitfall.
Improvement #2: Use a Min-Heap of Size K (Optimal)
Instead of storing all unique elements, we only keep the top K seen so far.
Key Idea
Use a min-heap
Remove smallest frequency whenever size exceeds
k
Optimized Code
Map<String, Integer> freq = new HashMap<>();
for (String s : list) {
freq.put(s, freq.getOrDefault(s, 0) + 1);
}
PriorityQueue<String> pq =
new PriorityQueue<>((a, b) ->
Integer.compare(freq.get(a), freq.get(b))
);
for (String key : freq.keySet()) {
pq.offer(key);
if (pq.size() > k) {
pq.poll();
}
}
while (!pq.isEmpty()) {
System.out.println(pq.poll());
}
Complexity
| Metric | Value |
|---|---|
| Time | O(N + U log K) |
| Space | O(U + K) |
This is the preferred interview solution.
Improvement #3: Avoid Repeated Map Lookups
A more efficient and cleaner approach is to store Map.Entry objects directly.
PriorityQueue<Map.Entry<String, Integer>> pq =
new PriorityQueue<>(
(a, b) -> Integer.compare(a.getValue(), b.getValue())
);
for (Map.Entry<String, Integer> entry : freq.entrySet()) {
pq.offer(entry);
if (pq.size() > k) {
pq.poll();
}
}
while (!pq.isEmpty()) {
System.out.println(pq.poll().getKey());
}
This reduces repeated hash lookups and improves readability.
Improvement #4: Bucket Sort (When Counts Are Bounded)
If frequencies are bounded by N, we can eliminate heap usage entirely.
Idea
Create buckets where index = frequency
Traverse from highest frequency down
Complexity
Time:
O(N + U)Space:
O(N)
This is usually mentioned verbally in interviews to demonstrate algorithmic range.
Handling Massive Data (1B+ Records)
For very large datasets:
Holding all strings in memory is not feasible
HashMap alone can exhaust heap
Real-World Approach
Stream data from files / Kafka
Aggregate in chunks
Use approximate algorithms (Count-Min Sketch)
Mentioning this shows system design awareness, not just coding skill.
Key Interview Takeaways
What this problem really tests:
Correct complexity analysis
Scalability thinking
Ability to trade memory for speed
Final Thoughts
A solution that works is not the same as a solution that scales.
If you can:
Start with the basic heap
Optimize to
O(U log K)Discuss bucket sort and streaming
You’ll stand out as someone who writes production-grade code, not just interview code.
If you want, I can:
Add Java Streams version (and explain why it’s often worse)
Convert this into a LeetCode-style explanation
Tailor it for FAANG / Staff-level interviews
Just say the word.