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interview_prep.py · DSA
Question #42 · Arrays
Find the maximum subarray sum (Kadane's Algorithm)
def max_subarray(nums):
    # Track current and global max
    cur = res = nums[0]

    for n in nums[1:]:
        cur = max(n, cur + n)
        res = max(res, cur)

    return res

# [-2,1,-3,4,-1,2,1,-5,4] → 6
⏱ Time: O(n) ◻ Space: O(1) Medium
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DSA · Arrays & Hashing

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Easy
Medium
Hard
01
Two Sum — Given an array of integers, return indices of the two numbers that add up to a target.
Easy
Approach: Use a hashmap to store each number and its index as we iterate. For each number n, check if target - n already exists in the map. If yes, we found our pair. This avoids the brute-force O(n²) nested loop.
def two_sum(nums, target):
    seen = {}
    for i, n in enumerate(nums):
        diff = target - n
        if diff in seen:
            return [seen[diff], i]
        seen[n] = i
⏱ O(n) ◻ O(n) Easy
02
Longest Substring Without Repeating Characters — return the length of the longest substring with no duplicates.
Medium
Sliding Window: Maintain a set and two pointers l / r. Expand right; when a duplicate is found, shrink from the left until the window is valid. Track the max window size.
def length_of_longest(s):
    seen, l, res = set(), 0, 0
    for r in range(len(s)):
        while s[r] in seen:
            seen.remove(s[l]); l += 1
        seen.add(s[r])
        res = max(res, r - l + 1)
    return res
⏱ O(n) ◻ O(min(n,m)) Medium
03
Word Ladder — Find the shortest transformation sequence from beginWord to endWord changing one letter at a time.
Hard
BFS on implicit graph: Treat each word as a node. Use BFS from beginWord, swapping each character with a–z and checking if the result exists in the word set. Return the level count when endWord is reached.
from collections import deque

def ladder_length(begin, end, words):
    ws = set(words)
    q  = deque([(begin, 1)])
    while q:
        word, steps = q.popleft()
        for i in range(len(word)):
            for c in 'abcdefghijklmnopqrstuvwxyz':
                nw = word[:i] + c + word[i+1:]
                if nw == end: return steps + 1
                if nw in ws:
                    ws.discard(nw)
                    q.append((nw, steps+1))
    return 0
⏱ O(N·M·26) ◻ O(N·M) Hard
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