Q1: Two Sum

Given an array of integers nums and an integer target, return indices of the two numbers such that they add up to target. Use a Hash Map to reduce lookup complexity to O(1).

Hash Map Two Sum Solution
function twoSum(nums, target) {
  const map = new Map();
  for (let i = 0; i < nums.length; i++) {
    const complement = target - nums[i];
    if (map.has(complement)) {
      return [map.get(complement), i];
    }
    map.set(nums[i], i);
  }
  return [];
}

console.log(twoSum([2, 7, 11, 15], 9)); // [0, 1]
💡 As we iterate through nums, we calculate the complement required to reach target. If the complement exists in our map, we immediately return its stored index and the current index.
Key Takeaways
  • Hash Map provides O(n) time complexity by storing complement values during iteration.
  • Avoids the naive O(n²) nested loop approach.
Knowledge Check

What is the time and space complexity of the Hash Map solution for Two Sum?