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[Codility] Sorting - MaxProductOfThree / Java 본문

Algorithm Test/Java

[Codility] Sorting - MaxProductOfThree / Java

RootedIn 2020. 6. 14. 21:54

1. 문제

A non-empty array A consisting of N integers is given. The product of triplet (P, Q, R) equates to A[P] * A[Q] * A[R] (0 ≤ P < Q < R < N).

For example, array A such that:

A[0] = -3 A[1] = 1 A[2] = 2 A[3] = -2 A[4] = 5 A[5] = 6

contains the following example triplets:

  • (0, 1, 2), product is −3 * 1 * 2 = −6
  • (1, 2, 4), product is 1 * 2 * 5 = 10
  • (2, 4, 5), product is 2 * 5 * 6 = 60

Your goal is to find the maximal product of any triplet.

Write a function:

class Solution { public int solution(int[] A); }

that, given a non-empty array A, returns the value of the maximal product of any triplet.

For example, given array A such that:

A[0] = -3 A[1] = 1 A[2] = 2 A[3] = -2 A[4] = 5 A[5] = 6

the function should return 60, as the product of triplet (2, 4, 5) is maximal.

Write an efficient algorithm for the following assumptions:

  • N is an integer within the range [3..100,000];
  • each element of array A is an integer within the range [−1,000..1,000].

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2. 코드

import java.util.*;

class Solution {
    public int solution(int[] A) {
        Arrays.sort(A);
        
        int li = A.length - 1;
        int num = A[li];
        int leftNum = num * A[li - 1] * A[li - 2];
        int rightNum = num * A[0] * A[1];
        
        return Math.max(leftNum, rightNum);
    }
}
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