Triangle

Problem

An array A consisting of N integers is given. A triplet (P, Q, R) is triangular if 0 ≤ P < Q < R < N and:

A[P] + A[Q] > A[R],
A[Q] + A[R] > A[P],
A[R] + A[P] > A[Q].

For example, consider array A such that:

A[0] = 10    A[1] = 2    A[2] = 5
A[3] = 1     A[4] = 8    A[5] = 20

Triplet (0, 2, 4) is triangular.

Write a function:

function solution(A);

that, given an array A consisting of N integers, returns 1 if there exists a triangular triplet for this array and returns 0 otherwise.

For example, given array A such that:

A[0] = 10 A[1] = 2 A[2] = 5
A[3] = 1 A[4] = 8 A[5] = 20

the function should return 1, as explained above. Given array A such that:

A[0] = 10 A[1] = 50 A[2] = 5
A[3] = 1

the function should return 0.

Write an efficient algorithm for the following assumptions:

• N is an integer within the range [0..100,000];
• each element of array A is an integer within the range [−2,147,483,648..2,147,483,647].

My Solution

success O(N*log(N))

function solution(A) {
	A.sort((a, b) => a - b);

	for (let i = 0; i < A.length - 2; i++) {
		if (A[i] > 0) {
			if (A[i] + A[i + 1] > A[i + 2]) return 1;
		}
	}

	return 0;
}

https://app.codility.com/demo/results/training3ZH5GX-E3H/