Why Group Anagrams Using Hash Map in DSA Python?

The Big Idea

What if you could instantly find all words made of the same letters without checking each pair one by one?

The Scenario

Imagine you have a big box of mixed-up word cards, and you want to group all words that are made of the same letters together. Doing this by checking each word against every other word by hand would take forever!

The Problem

Manually comparing each word with every other word to find anagrams is slow and tiring. It's easy to miss some matches or repeat work, especially when the list is long. This makes the task error-prone and frustrating.

The Solution

Using a hash map, we can quickly group words by sorting their letters and using the sorted word as a key. This way, all anagrams share the same key and get grouped together automatically, making the process fast and neat.

Before vs After

✗ Before

groups = []
for word in words:
    found = False
    for group in groups:
        if sorted(word) == sorted(group[0]):
            group.append(word)
            found = True
            break
    if not found:
        groups.append([word])

✓ After

anagram_map = {}
for word in words:
    key = ''.join(sorted(word))
    anagram_map.setdefault(key, []).append(word)
groups = list(anagram_map.values())

What It Enables

This lets us group all anagrams together instantly, even in huge lists, unlocking fast word games, spell checks, and text analysis.

Real Life Example

Think of a word puzzle app that needs to find all sets of words made from the same letters so players can see all possible answers quickly.

Key Takeaways

Manual checking of anagrams is slow and error-prone.

Hash maps group words by sorted letters as keys efficiently.

This method scales well for large word lists and real applications.

Practice

1. What is the main idea behind grouping anagrams using a hash map?

easy

A. Use the first character of the string as the key

B. Use the length of the string as the key

C. Use sorted strings as keys to group words with the same letters

D. Use the last character of the string as the key

Solution

1. Step 1: Understand anagrams

   Anagrams are words with the same letters in different orders.

2. Step 2: Use sorted strings as keys

   Sorting letters of each word gives a common key for all anagrams.

3. Final Answer:

   Use sorted strings as keys to group words with the same letters -> Option C

4. Quick Check:

   Sorted string key groups anagrams = C [OK]

Hint: Sort each word to find its anagram group key [OK]

Common Mistakes:

• Using string length as key groups wrong words
• Using first or last character misses many anagrams
• Not sorting letters before using as key

2. Which of the following Python code snippets correctly initializes an empty hash map (dictionary) to group anagrams?

easy

A. anagrams = {}

B. anagrams = ()

C. anagrams = set()

D. anagrams = []

Solution

1. Step 1: Identify dictionary initialization

   In Python, an empty dictionary is created with curly braces {}.

2. Step 2: Check other options

   List uses [], set uses set(), tuple uses (). Only {} is dictionary.

3. Final Answer:

   anagrams = {} -> Option A

4. Quick Check:

   Empty dictionary = {} [OK]

Hint: Use {} to create an empty dictionary in Python [OK]

Common Mistakes:

• Using [] which creates a list, not a dictionary
• Using set() which creates a set, not a dictionary
• Using () which creates a tuple, not a dictionary

3. What is the output of the following code?

words = ["eat", "tea", "tan", "ate", "nat", "bat"]
anagrams = {}
for word in words:
    key = ''.join(sorted(word))
    if key not in anagrams:
        anagrams[key] = []
    anagrams[key].append(word)
print(list(anagrams.values()))

medium

A. [['eat', 'tea', 'ate'], ['tan', 'nat'], ['bat']]

B. [['eat', 'tea'], ['tan', 'nat'], ['bat', 'ate']]

C. [['eat', 'ate'], ['tan', 'nat'], ['bat', 'tea']]

D. [['eat'], ['tea'], ['tan'], ['ate'], ['nat'], ['bat']]

Solution

1. Step 1: Sort each word and group

   Words "eat", "tea", "ate" sorted become "aet"; grouped together. "tan", "nat" sorted "ant"; grouped. "bat" sorted "abt"; alone.

2. Step 2: Collect groups in dictionary values

   Values are lists of grouped anagrams: [['eat', 'tea', 'ate'], ['tan', 'nat'], ['bat']]

3. Final Answer:

   [['eat', 'tea', 'ate'], ['tan', 'nat'], ['bat']] -> Option A

4. Quick Check:

   Sorted keys group words correctly = A [OK]

Hint: Sort letters, use as key, group words in list [OK]

Common Mistakes:

• Appending words to wrong keys
• Not sorting words before grouping
• Mixing groups or missing words

4. Find the error in this code that tries to group anagrams:

words = ["abc", "bca", "cab"]
anagrams = {}
for word in words:
    key = sorted(word)
    if key not in anagrams:
        anagrams[key] = []
    anagrams[key].append(word)
print(anagrams)

medium

A. The dictionary is not initialized correctly

B. The print statement syntax is wrong

C. The append method is used incorrectly

D. sorted(word) returns a list, which cannot be used as a dictionary key

Solution

1. Step 1: Check key type used in dictionary

   sorted(word) returns a list, but lists are not hashable and cannot be dictionary keys.

2. Step 2: Fix by converting list to string or tuple

   Use key = ''.join(sorted(word)) or key = tuple(sorted(word)) to make hashable key.

3. Final Answer:

   sorted(word) returns a list, which cannot be used as a dictionary key -> Option D

4. Quick Check:

   Dictionary keys must be hashable, list is not [OK]

Hint: Convert sorted list to string or tuple before using as key [OK]

Common Mistakes:

• Using list as dictionary key causes TypeError
• Not converting sorted result to string or tuple
• Ignoring error messages about unhashable types

5. Given the list words = ["listen", "silent", "enlist", "google", "gogole", "abc"], which code snippet correctly groups the anagrams and returns the groups sorted alphabetically by their first word?

hard

A. anagrams = {}
for w in words:
key = w
anagrams[key] = w
print(list(anagrams.values()))

B. anagrams = {}
for w in words:
key = ''.join(sorted(w))
anagrams.setdefault(key, []).append(w)
groups = list(anagrams.values())
groups.sort(key=lambda x: x[0])
print(groups)

C. anagrams = {}
for w in words:
key = ''.join(sorted(w))
anagrams[key] = w
print(list(anagrams.keys()))

D. anagrams = []
for w in words:
anagrams.append(sorted(w))
print(anagrams)

Solution

1. Step 1: Group words by sorted key using dictionary

   anagrams = {} for w in words: key = ''.join(sorted(w)) anagrams.setdefault(key, []).append(w) groups = list(anagrams.values()) groups.sort(key=lambda x: x[0]) print(groups) uses sorted word as key and appends words to list correctly.

2. Step 2: Sort groups by first word

   anagrams = {} for w in words: key = ''.join(sorted(w)) anagrams.setdefault(key, []).append(w) groups = list(anagrams.values()) groups.sort(key=lambda x: x[0]) print(groups) sorts the list of groups by the first word in each group, meeting requirement.

3. Final Answer:

   Correctly groups anagrams using sorted keys, setdefault, append, and sorts groups by first word -> Option B

4. Quick Check:

   Group by sorted key + sort groups by first word = A [OK]

Hint: Use setdefault for grouping and sort groups by first element [OK]

Common Mistakes:

• Using word itself as key loses grouping
• Overwriting dictionary values instead of appending
• Using list instead of dictionary for grouping