Problem description
Given a n array of N integers nums, judge whether there are three elements a, b, c in nums, so that a + b + c = 0? Find all triples that meet the conditions and are not repeated.
Note: the answer cannot contain duplicate triples.
For example, given the array nums = [-1, 0, 1, 2, -1, -4],
The required set of triples is:
[
[-1, 0, 1],
[-1, -1, 2]
]
problem analysis
It can be solved by sorting the array first, then using double pointer and the idea of sum of two numbers of sorting array. Time O(n*n)
The Java code is as follows:
class Solution {
public List<List<Integer>> threeSum(int[] nums) {
List<List<Integer>> result = new ArrayList<>();
if (nums == null || nums.length < 3) {
return result;
}
// The array is sorted first, and then the sum of the two numbers is made by using double pointers. O(n*n)
Arrays.sort(nums);
// Note: only sorting arrays can use the following solution
for (int i = 0; i < nums.length; i++) {
// De duplicate the first level elements (the purpose of de duplication is to prevent duplicate triple results.)
if (i > 0 && nums[i] == nums[i - 1]) {
continue;
}
int j = i + 1;
int k = nums.length - 1;
while (j < k) {
int sum = nums[i] + nums[j] + nums[k];
if (sum == 0) {
List<Integer> list = new ArrayList<>();
list.add(nums[i]);
list.add(nums[j]);
list.add(nums[k]);
result.add(list);
// De reprocessing the second level elements
while (j < k && nums[j] == nums[j + 1]) {
j++;
}
while (j < k && nums[k] == nums[k - 1]) {
k--;
}
j++;
k--;
}else if (sum > 0) {
k--;
}else{
j++;
}
}
}
return result;
}
}
16. Sum of the nearest three
class Solution {
public int threeSumClosest(int[] nums, int target) {
if (nums == null || nums.length < 3) {
return 0;
}
// This one doesn't need to be weighed, just find the minimum value.
Arrays.sort(nums); // Still need to sort first
int minSum = nums[0] + nums[1] + nums[2];
for (int k = 0; k < nums.length; k++) {
int i = k + 1;
int j = nums.length - 1;
while (i < j) {
int curSum = nums[k] + nums[i] + nums[j];
if (Math.abs(curSum - target) < Math.abs(minSum - target)) {
minSum = curSum;
}
if (curSum > target) {
j--;
}else if (curSum == target) {
return curSum;
}else{
i++;
}
}
}
return minSum;
}
}