
import java.util.Arrays


/**
 * 100/100
 * @param A
 * @return
 */
fun solution(A: IntArray): Int {
    val N = A.size
    if (N < 3) return 0
    Arrays.sort(A)
    for (i in 0 until N - 2) {
        /**
         * Since the array is sorted A[i + 2] is always the greates or equal to previous values
         * So A[i + 2] + A[i] > A[i + 1] ALWAYS
         * As well ass A[i + 2] + A[i + 1] > A[i] ALWAYS
         * Therefore no need to check those. We only need to check if A[i] + A[i + 1] > A[i + 2]?
         * Since in case of MAXINTS: A[i] + A[i + 1] the code would strike an overflow
         * Will modify the formula to an equivalent A[i] > A[i + 2] - A[i + 1]
         * And inspect it there
         */
        if (A[i] >= 0 && A[i] > A[i + 2] - A[i + 1]) {
            return 1
        }
    }
    return 0
}

/**
 * 93/100
 * This solution will cause the overflow in case there are multiple MAXINTS in array
 * so it will FAIL at least one correctness test
 */
fun solution2(A: IntArray): Int {
    val N = A.size
    if (N < 3) return 0
    Arrays.sort(A)
    for (i in 0 until N - 2) {
        /**
         * Since the array is sorted A[i + 2] is always the greater or equal to previous values
         * So A[i + 2] + A[i] > A[i + 1] ALWAYS
         * As well ass A[i + 2] + A[i + 1] > A[i] ALWAYS
         * Therefore no need to check those. We only need to check if A[i] + A[i + 1] > A[i + 2]?
         */
        if (A[i] >= 0 && A[i] + A[i + 1] > A[i + 2]) {
            return 1
        }
    }
    return 0
}

/**
 * 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:
 *
 * class Solution { public int solution(int[] 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].
 */