Saturday, May 30, 2015

[LeetCode] 3Sum Closest

3Sum Closest

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: Based on [LeetCode] 3SUM.
Complexity: O(n^2). Since 3SUM can be solved in O(n^2) time. 

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public class Solution {
    public int threeSumClosest(int[] nums, int target) {
        Arrays.sort(nums);
        int minDist = Integer.MAX_VALUE;
        int closest = target;
        for (int i = 0; i < nums.length - 2; i++) {
            int j = i + 1;
            int k = nums.length - 1;
            while (j < k) {
                int sum = nums[i] + nums[j] + nums[k];
                int dist = Math.abs(sum - target);
                if (dist < minDist) {
                    minDist = dist;
                    closest = sum;
                }
                if (sum == target) {
                    return target;
                } else if (sum < target) {
                    j++;
                } else {
                    k--;
                }
            }
        }
        return closest;
    }
}

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