Valid Triangle Number Problem


Description

LeetCode Problem 611.

Given an integer array nums, return the number of triplets chosen from the array that can make triangles if we take them as side lengths of a triangle.

Example 1:

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Input: nums = [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

Example 2:

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Input: nums = [4,2,3,4]
Output: 4

Constraints:

  • 1 <= nums.length <= 1000
  • 0 <= nums[i] <= 1000


Sample C++ Code

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class Solution {
public:
    int triangleNumber(vector<int>& nums) {
        int res = 0, n = nums.size();
        sort(nums.begin(), nums.end());
        for (int i = n-1; i >= 0; i--) {
            int lo = 0, hi = i-1;
            while (lo < hi) {
                if (nums[lo] + nums[hi] > nums[i]) {
                    res += hi - lo;
                    hi--;
                }
                else 
                    lo++;
            }
        }
        return res;
    }
};




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