16. 3Sum Closest

Problem:

Given an array nums of n integers and an integer target, find three integers in nums such that the sum is closest to target. Return the sum of the three integers. You may assume that each input would have exactly one solution.

Example:

Given array nums = [-1, 2, 1, -4], and target = 1.

The sum that is closest to the target is 2. (-1 + 2 + 1 = 2).

Solution:

Simplified version of 15. 3Sum.

/**
 * @param {number[]} nums
 * @param {number} target
 * @return {number}
 */
let threeSumClosest = function(nums, target) {
  const len = nums.length
  const sorted = nums.sort((a, b) => a - b)

  let minDiff = Infinity

  for (let i = 0; i < len - 2; i++) {
    if (i > 0 && sorted[i] === sorted[i-1]) {
      continue
    }

    const twoSum = target - sorted[i]

    for (let l = i + 1, r = len - 1; l < r;) {
      const diff = twoSum - sorted[l] - sorted[r]
      if (diff === 0) {
        return target
      } else {
        if (diff > 0) {
          l++
        } else {
          r--
        }

        if (Math.abs(diff) < Math.abs(minDiff)) {
          minDiff = diff
        }
      }
    }
  }

  return target - minDiff
};