How to Explain Group Anagrams in a Coding Interview (Step-by-Step)
Group Anagrams is a classic Medium problem that tests whether you can identify the right key for a HashMap — the core insight that separates a clean O(n·k) solution from a messy O(n²) one.
In this post, you’ll learn exactly how to walk an interviewer through this problem: what to say, in what order, and which details to proactively highlight so you come across as confident and experienced.
Problem Statement
Given an array of strings strs, group the anagrams together. You can return the answer in any order.
Examples
Output: [[“bat”],[“nat”,”tan”],[“ate”,”eat”,”tea”]]
Output: [[“”]]
Output: [[“a”]]
Constraints
1 <= strs.length <= 10⁴0 <= strs[i].length <= 100strs[i]consists of lowercase English letters only
What Is the Problem?
Before writing a single line of code, restate the problem in your own words:
“I need to partition a list of strings into groups where every string in a group is an anagram of the others. Strings that share the same characters with the same frequencies belong together.”
The Key Insight — What Makes a Good HashMap Key?
Two strings are anagrams if and only if their sorted characters are identical. So "eat", "tea", and "ate" all sort to "aet". That sorted string is the perfect HashMap key to group them under.
This is the pivotal moment in the interview — state this insight clearly before touching code. It shows you understand why the solution works, not just how to write it.
Step 1: Start With the Brute Force (Then Dismiss It)
“A brute force approach would compare every pair of strings to check if they’re anagrams — O(n²·k) where k is the average string length. That’s too slow for 10,000 strings.”
Then pivot:
“Instead, I’ll use a HashMap where each key is the sorted version of a string. All anagrams map to the same key, so I can group them in a single O(n·k log k) pass.”
Compare every pair of strings
Time: O(n²·k) Space: O(n·k)
Sort each string as HashMap key
Time: O(n·k log k) Space: O(n·k)
Step 2: Explain the Algorithm in Plain English
“For each string in the input, I sort its characters to produce a key. I use that key to look up a bucket in my HashMap and append the original string to it. After processing all strings, the HashMap values are my grouped anagram lists — I just return them.”
Step 3: Talk Through the Code
from collections import defaultdict
class Solution:
def groupAnagrams(self, strs: List[str]) -> List[List[str]]:
groups = defaultdict(list) # key: sorted string → value: list of anagrams
for word in strs:
key = "".join(sorted(word)) # Sort chars to get the canonical key
groups[key].append(word) # Add original word to its anagram group
return list(groups.values()) # Return all groups as a list of lists
Point out the use of defaultdict(list) — it avoids the need to check if a key already exists before appending, keeping the code clean.
Bonus: O(n·k) Approach Using Frequency Count Key
If the interviewer asks for an approach that avoids sorting entirely:
from collections import defaultdict
class Solution:
def groupAnagrams(self, strs: List[str]) -> List[List[str]]:
groups = defaultdict(list)
for word in strs:
count = [0] * 26 # Frequency array for a–z
for c in word:
count[ord(c) - ord('a')] += 1 # Increment index for each char
key = tuple(count) # Tuple is hashable — use as key
groups[key].append(word)
return list(groups.values())
“This avoids the O(k log k) sort per word. The key is now a fixed-length tuple of 26 integers. Time drops to O(n·k) — strictly linear in total characters.”
Visual Walkthrough
Tracing through ["eat","tea","tan","ate","nat","bat"]:
Step 4: Highlight Edge Cases
“An empty string sorts to an empty string "" — that’s a valid key. Multiple empty strings will correctly group together.”
“"a"sorts to"a". If there are multiple"a"strings they group together, if there’s just one it forms its own group — both handled correctly.”
“If no two strings are anagrams, every string gets its own group. The output will be n single-element lists. The algorithm handles this naturally — each key maps to exactly one word.”
“If all strings are anagrams of each other, all of them share the same sorted key, so they all end up in one group. Output is one list containing all strings.”
Step 5: State Time and Space Complexity
Let n = number of strings, k = average length of each string.
| Dimension | Sorted Key | Frequency Key |
|---|---|---|
| Time | O(n·k log k) | O(n·k) |
| Space | O(n·k) | O(n·k) |
Space is O(n·k) for both because we store all original strings in the HashMap values.
Interview Checklist for Group Anagrams
- Restate — “group strings that share the same character frequencies”
- State the key insight — sorted characters = canonical HashMap key
- Mention brute force O(n²·k) comparison, then dismiss it
- Explain the sorted-key HashMap approach in plain English
- Walk through the visual — show how eat/tea/ate → “aet”
- Use
defaultdict(list)and explain why - Handle empty string, single char, no anagrams, all anagrams edge cases
- State O(n·k log k) time and O(n·k) space for sorted approach
- Mention the frequency-tuple key as an O(n·k) follow-up optimization
- Ask before coding, don’t just dive in
Related Problems to Practice
If you can solve Group Anagrams cleanly, try these next:
