[LeetCode] 3Sum Smaller
Problem Description:
Given an array of n integers nums and a target, find the number of index triplets i, j, k
with 0 <= i < j < k < n
that satisfy the condition nums[i] + nums[j] + nums[k] < target
.
For example, given nums = [-2, 0, 1, 3]
, and target = 2.
Return 2. Because there are two triplets which sums are less than 2:
[-2, 0, 1] [-2, 0, 3]
Follow up:
Could you solve it in O(n^2) runtime?
Sort nums first and then fix the left index (i) at each time while adjusting the middle and right indexes (j, k). The following code should be self-explanatory.
1 class Solution { 2 public: 3 int threeSumSmaller(vector<int>& nums, int target) { 4 sort(nums.begin(), nums.end()); 5 int n = nums.size(), ans = 0, i, j, k; 6 for (int i = 0; i < n - 2; i++) { 7 int j = i + 1, k = n - 1; 8 while (j < k) { 9 if (nums[i] + nums[j] + nums[k] >= target) k--; 10 else { 11 ans += (k - j); 12 j++; 13 } 14 } 15 } 16 return ans; 17 } 18 };