package LeetCode_611

/**
 * 611. Valid Triangle Number
 * https://leetcode.com/problems/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].
 * 
 
*/
class Solution {
    /*
    Because Triangle is the sum of any two sides must be greater than third sides (任意兩條邊之和要大於第三邊),
    we need to find 3 numbers,i<j<k and nums[i]+nums[j]>nums[k];
      Solution 1: sort array, bruce force, Time:O(n^3), Space:O(1);
    * Solution 2: sort array, two pointer, Time:O(n^2), Space:O(1);
    * 
 
*/
    fun triangleNumber(nums: IntArray): Int {
        if (nums == null || nums.isEmpty() || nums.size < 2) {
            return 0
        }
        var count = 0
        nums.sort()
        //solution 2
        for (i in nums.indices) {
            var left = 0
            var right = i - 1
            while
 
 (left < right) {
                if (nums[left] + nums[right] > nums[i]) {
                    /*
                   * for example array is :1,2,.,..5; if 1,2,5 is valid triplets, because array is sorted,
                   * so the element at the left of 5(right pointer) and at the right of 2(left pointer) are all valid.
                   * */
                    count += right - left
                    right--
                } else {
                    left++
                }
            }
        }
        return count
    }
}