First Non Repeating Character Using Hash in DSA Python - Time & Space Complexity

Time Complexity: First Non Repeating Character Using Hash

O(n)

Understanding Time Complexity

We want to find how long it takes to find the first character that appears only once in a string using a hash map.

How does the time needed grow as the string gets longer?

Scenario Under Consideration

Analyze the time complexity of the following code snippet.

from collections import Counter

def first_non_repeating_char(s: str) -> int:
    count = Counter(s)  # Count each character
    for i, ch in enumerate(s):
        if count[ch] == 1:
            return i
    return -1
    

This code counts characters, then finds the first one that appears only once.

Identify Repeating Operations

Identify the loops, recursion, array traversals that repeat.

• Primary operation: Counting characters and then scanning the string again.
• How many times: Counting loops over all characters once; scanning again loops over all characters once.

How Execution Grows With Input

As the string gets longer, the counting and scanning both take longer, roughly doubling the work.

Input Size (n)	Approx. Operations
10	About 20 operations (count + scan)
100	About 200 operations
1000	About 2000 operations

Pattern observation: Operations grow roughly twice the input size, so growth is linear.

Final Time Complexity

Time Complexity: O(n)

This means the time to find the first non-repeating character grows directly with the string length.

Common Mistake

[X] Wrong: "Since we scan twice, the time is O(n²)."

[OK] Correct: Each scan goes through the string once, so total work is about 2n, which is still O(n), not squared.

Interview Connect

Understanding this helps you explain how hashing speeds up searching tasks, a key skill in many coding challenges.

Self-Check

"What if we used a nested loop to check each character against all others instead of a hash map? How would the time complexity change?"

Practice

1. What does the "First Non Repeating Character Using Hash" algorithm primarily do?

easy

A. Finds the first character in a string that appears only once

B. Counts the total number of characters in a string

C. Sorts characters of a string alphabetically

D. Reverses the string

Solution

1. Step 1: Understand the problem goal

   The algorithm aims to find the first character in the string that does not repeat anywhere else.

2. Step 2: Identify the main operation

   It uses a hash (dictionary) to count occurrences and then finds the first character with count 1.

3. Final Answer:

   Finds the first character in a string that appears only once -> Option A

4. Quick Check:

   First unique character = first non repeating character [OK]

Hint: Look for the first character with count one in the hash [OK]

Common Mistakes:

• Thinking it counts total characters instead of unique
• Confusing sorting with finding unique characters
• Assuming it reverses the string

2. Which of the following Python code snippets correctly initializes a hash (dictionary) to count characters in a string s?

easy

A. counts = []; for ch in s: counts[ch] += 1

B. counts = {}; for ch in s: counts[ch] = counts.get(ch, 0) + 1

C. counts = set(); for ch in s: counts.add(ch)

D. counts = 0; for ch in s: counts += 1

Solution

1. Step 1: Check dictionary initialization and update

   counts = {}; for ch in s: counts[ch] = counts.get(ch, 0) + 1 correctly creates an empty dictionary and updates counts using get with default 0.

2. Step 2: Analyze other options

   counts = []; for ch in s: counts[ch] += 1 uses a list which cannot be indexed by characters; counts = set(); for ch in s: counts.add(ch) uses a set which only stores unique items without counts; counts = 0; for ch in s: counts += 1 uses an integer which cannot store counts per character.

3. Final Answer:

   counts = {}; for ch in s: counts[ch] = counts.get(ch, 0) + 1 -> Option B

4. Quick Check:

   Dictionary with get method counts chars correctly [OK]

Hint: Use dict.get(key, 0) to count characters safely [OK]

Common Mistakes:

• Using list instead of dictionary for counts
• Using set which does not count duplicates
• Trying to increment integer without keys

3. What is the output of the following code?

def first_non_repeating(s):
    counts = {}
    for ch in s:
        counts[ch] = counts.get(ch, 0) + 1
    for ch in s:
        if counts[ch] == 1:
            return ch
    return '_'

print(first_non_repeating('swiss'))

medium

A. s

B. _

C. i

D. w

Solution

1. Step 1: Count character occurrences in 'swiss'

   Counts: s=3, w=1, i=1

2. Step 2: Find first character with count 1 in order

   Order: s (3), w (1) -> first non repeating is 'w'

3. Final Answer:

   w -> Option D

4. Quick Check:

   First unique char in 'swiss' is 'w' [OK]

Hint: Check counts then scan string for first count 1 char [OK]

Common Mistakes:

• Returning first unique char incorrectly as 's'
• Confusing 'i' as first unique instead of 'w'
• Returning '_' when unique char exists

4. The following code is intended to find the first non repeating character but has a bug. What is the bug?

def first_non_repeating_bug(s):
    counts = {}
    for ch in s:
        counts[ch] += 1
    for ch in s:
        if counts[ch] == 1:
            return ch
    return '_'

medium

A. The for loop should iterate over counts.keys() instead of s

B. The return '_' statement is unreachable

C. counts dictionary is not initialized with default values before increment

D. The function does not return anything

Solution

1. Step 1: Analyze counts dictionary usage

   The code tries to increment counts[ch] without initializing counts[ch], causing KeyError.

2. Step 2: Identify missing initialization

   Must initialize counts[ch] to 0 before increment or use counts.get(ch, 0) + 1.

3. Final Answer:

   counts dictionary is not initialized with default values before increment -> Option C

4. Quick Check:

   Missing initialization causes KeyError [OK]

Hint: Initialize counts[ch] before increment or use get() [OK]

Common Mistakes:

• Assuming return '_' is unreachable
• Thinking loop over s is wrong
• Believing function returns nothing

5. Given the string s = 'aabbccddeeffg', which character will the first non repeating character algorithm return?
Note: The algorithm uses a hash to count characters and returns the first character with count 1 or '_' if none.

medium

A. g

B. a

C. _

D. f

Solution

1. Step 1: Count occurrences of each character in 'aabbccddeeffg'

   a=2, b=2, c=2, d=2, e=2, f=2, g=1

2. Step 2: Find first character with count 1 in string order

   All characters except 'g' repeat twice; 'g' appears once at the end.

3. Final Answer:

   g -> Option A

4. Quick Check:

   Only 'g' is unique in the string [OK]

Hint: Check counts; last unique char is first non repeating here [OK]

Common Mistakes:

• Choosing 'a' or 'f' which repeat twice
• Choosing '_' when unique char exists
• Ignoring order of characters