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Coding Projects

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Time complexity: O(n) This is a very important array interview problem because it tests whether you can optimize a seemingly expensive problem. 🔹 14. What is the difference between a subarray and a subsequence? Answer: A subarray must contain contiguous elements. Example: [2, 3, 4] is a subarray of: [1, 2, 3, 4, 5] A subsequence does not need to be contiguous, but the original order must be maintained. Example: [1, 3, 5] is a subsequence of: [1, 2, 3, 4, 5] but it is not a contiguous subarray. This distinction becomes extremely important in Dynamic Programming problems such as Longest Common Subsequence. 🔹 15. How do you rotate an array? Example: Input: [1, 2, 3, 4, 5] Rotate right by 2: [4, 5, 1, 2, 3] One efficient approach uses the reversal technique. Conceptually: Reverse entire array Reverse first k elements Reverse remaining elements For: [1, 2, 3, 4, 5] rotate right by "2": Reverse all: [5, 4, 3, 2, 1] Reverse first 2: [4, 5, 3, 2, 1] Reverse remaining: [4, 5, 1, 2, 3] This technique can achieve: Time: O(n) Space: O(1) Learn to recognize patterns: ✔ Two Pointers ✔ Sliding Window ✔ Prefix Sum ✔ HashMap / HashSet ✔ Binary Search ✔ Sorting ✔ Kadane's Algorithm ✔ In-place modification Once you recognize the pattern, many seemingly different array problems become much easier to solve. Double Tap ❤️ For More ----- 2.86 ₽ · /balance_help
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Average time complexity: O(n) Additional space: O(n) This is usually faster than comparing every pair, which can take O(n²). 🔹 8. What is the Two Sum problem? Answer: You are given an array and a target value. Find two elements whose sum equals the target. Example: Array: [2, 7, 11, 15] Target: 9 The answer is: 2 + 7 = 9 A HashMap can solve this efficiently. arr = [2, 7, 11, 15] target = 9 seen = {} for i, num in enumerate(arr): complement = target - num if complement in seen: print(seen[complement], i) break seen[num] = i Output: 0 1 Average time complexity: O(n) Space complexity: O(n) This is one of the most important patterns to recognize in array interviews. 🔹 9. How do you move all zeroes to the end? Example: Input: [0, 1, 0, 3, 12] Output: [1, 3, 12, 0, 0] A Two Pointer approach can solve this in-place. arr = [0, 1, 0, 3, 12] position = 0 for i in range(len(arr)): if arr[i] != 0: arr[position], arr[i] = arr[i], arr[position] position += 1 print(arr) Output: [1, 3, 12, 0, 0] Time complexity: O(n) Space complexity: O(1) 🔹 10. How do you find the missing number? Suppose the array contains numbers from "0" to "n", but one number is missing. Example: [3, 0, 1] The missing number is: 2 One efficient approach uses the expected sum: arr = [3, 0, 1] n = len(arr) expected_sum = n * (n + 1) // 2 actual_sum = sum(arr) missing = expected_sum - actual_sum print(missing) Output: 2 Time complexity: O(n) Space complexity: O(1) 🔹 11. What is the difference between Linear Search and Binary Search? Answer: Linear Search checks elements one by one. Time: O(n) It can work on unsorted data. Binary Search repeatedly divides the search space approximately in half. Time: O(log n) It requires suitable sorted data. For example: Linear Search: 10 → 20 → 30 → 40 → 50 Binary Search: 30 / \ 10 40... The key interview point is not simply memorizing the complexities. You should understand when Binary Search can actually be applied. 🔹 12. What is an in-place algorithm? Answer: An in-place algorithm modifies the input data structure while using only a small amount of additional memory. For example, reversing an array using two pointers: arr = [1, 2, 3, 4] left = 0 right = len(arr) - 1 while left < right: arr[left], arr[right] = arr[right], arr[left] left += 1 right -= 1 No second array is created. Therefore, the extra space used is: O(1) 🔹 13. What is the Maximum Subarray problem? Answer: You are given an array of integers and need to find the contiguous subarray with the maximum sum. Example: [-2, 1, -3, 4, -1, 2, 1, -5, 4] The maximum-sum contiguous subarray is: [4, -1, 2, 1] Its sum is: 6 A famous solution uses Kadane's Algorithm. arr = [-2, 1, -3, 4, -1, 2, 1, -5, 4] current = arr[0] maximum = arr[0] for i in range(1, len(arr)): current = max(arr[i], current + arr[i]) maximum = max(maximum, current) print(maximum) Output: 6
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📦 Common Array Interview Questions with Answers After understanding the fundamentals of Arrays, let's look at the questions frequently asked in coding and technical interviews. 🔹 1. What is an Array? Answer: An array is a data structure used to store multiple elements in an ordered sequence. Each element can generally be accessed using an index. Example: arr = [10, 20, 30, 40] print(arr[2]) Output: 30 The index of "30" is "2". The main advantage of an array is efficient index-based access. 🔹 2. What is the time complexity of accessing an array element? Answer: Accessing an element by its index is typically: O(1) Example: arr = [10, 20, 30, 40, 50] print(arr[3]) The system can directly access the element at index "3" rather than searching through all previous elements. This is one of the biggest advantages of arrays. 🔹 3. What is the difference between an Array and a Linked List? Answer: An array stores elements in a contiguous structure in traditional array implementations, while a linked list stores elements as separate nodes connected using references/pointers. Arrays provide fast index-based access: arr[i] → O(1) Linked lists generally require traversal to reach a particular position: Access → O(n) However, linked lists can be advantageous when inserting or deleting nodes at a known position because elements do not need to be shifted like they may in an array. The choice depends on the problem. 🔹 4. How do you find the largest element in an array? Answer: Traverse the array while maintaining the largest value found so far. Example: arr = [10, 45, 23, 67, 12] largest = arr[0] for num in arr: if num > largest: largest = num print(largest) Output: 67 Time complexity: O(n) Space complexity: O(1) 🔹 5. How do you find the second-largest element? Answer: We can maintain two variables: largest second_largest Example: arr = [10, 45, 23, 67, 12] largest = float('-inf') second_largest = float('-inf') for num in arr: if num > largest: second_largest = largest largest = num elif num > second_largest and num != largest: second_largest = num print(second_largest) Output: 45 This can be solved in: Time: O(n) Space: O(1) An important interview follow-up is: "What if all elements are equal?" A good solution should explicitly handle the case where a distinct second-largest element does not exist. 🔹 6. How do you reverse an array? Answer: One approach is to use two pointers. Example: arr = [1, 2, 3, 4, 5] left = 0 right = len(arr) - 1 while left < right: arr[left], arr[right] = arr[right], arr[left] left += 1 right -= 1 print(arr) Output: [5, 4, 3, 2, 1] Time complexity: O(n) Space complexity: O(1) This is an example of an in-place algorithm because we modify the original array instead of creating another array. 🔹 7. How do you find duplicate elements in an array? Answer: A HashSet can be used to keep track of elements already encountered. Example: arr = [1, 2, 3, 2, 4, 1] seen = set() duplicates = set() for num in arr: if num in seen: duplicates.add(num) else: seen.add(num) print(duplicates) Output: {1, 2}
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