第67天。
今天的题目是Valid Triangle Number:
Given an array consists of non-negative integers, your task is to count the number of triplets chosen from the array that can make triangles if we take them as side lengths of a triangle. Example 1: Input: [2,2,3,4] Output: 3 Explanation: Valid combinations are: 2,3,4 (using the first 2) 2,3,4 (using the second 2) 2,2,3 Note: The length of the given array won’t exceed 1000. The integers in the given array are in the range of [0, 1000].
莫名其妙的用一个O(n^3)
的解法AC了:
1int triangleNumber(vector<int>& nums) {2 sort(nums.begin(),nums.end());3 int ret = 0;4 for(int i = 0;i < nums.size();i++) {5 for(int j = i + 1;j < nums.size();j++) {6 //nums[i] + num[j] > a;7 for(int k = j+1;k < nums.size() && nums[i] + nums[j] > nums[k];k++)8 ret++;9 }10 }11 return ret;12}
然后是dicuss
中的O(n^2)
的解法:
1public static int triangleNumber(int[] A) {2 Arrays.sort(A);3 int count = 0, n = A.length;4 for (int i=n-1;i>=2;i--) {5 int l = 0, r = i-1;6 while (l < r) {7 if (A[l] + A[r] > A[i]) {8 count += r-l;9 r--;10 }11 else l++;12 }13 }14 return count;15}