Medium
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:
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:
Input: nums = [4,2,3,4]
Output: 4
Constraints:
1 <= nums.length <= 1000
0 <= nums[i] <= 1000
class Solution {
fun triangleNumber(nums: IntArray): Int {
val n: Int
var max = 0
val count = IntArray(1001)
for (i in nums) {
count[i]++
max = Math.max(max, i)
}
count[0] = 0
var idx = 0
for (i in 1..max) {
var j = 0
while (j < count[i]) {
nums[idx] = i
++j
++idx
}
count[i] += count[i - 1]
}
n = idx
var r = 0
for (i in 0 until n - 2) {
for (j in i + 1 until n - 1) {
if (nums[i] + nums[j] > max) {
r += (n - j) * (n - j - 1) / 2
break
}
r += count[nums[i] + nums[j] - 1] - j - 1
}
}
return r
}
}