Problem: 3Sum Closest

Posted by Marcy on February 18, 2015

Question

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

For example, given array S = {-1 2 1 -4}, and target = 1.
The sum that is closest to the target is 2. (-1 + 2 + 1 = 2).

Solution

The solution is similar to 3 sum. The difference is we need to have a closest variable to mark the current sum that is closest to target.

Code

class Solution {
    public int threeSumClosest(int[] nums, int target) {
        Arrays.sort(nums);
        int closest = nums[0] + nums[1] + nums[2];
        for(int i=0; i<nums.length-2; i++) {
            int l = i+1;
            int r = nums.length-1;
            while(l<r) {
                int sums = nums[i] + nums[l] + nums[r];
                if(Math.abs(target - sums) < Math.abs(target - closest))
                    closest = sums;
                if(closest == target) return closest;
                
                if(target > sums) {
                    l++;
                }
                else {
                    r--;
                }
            }
        }
        
        return closest;
    }
}

Performance

Same to 3 sum, the time complexity is O(n). The space complexity is O(1)