[Codility] Counting Elements - MaxCounters 풀이

예문


https://app.codility.com/programmers/lessons/4-counting_elements/max_counters/

You are given N counters, initially set to 0, and you have two possible operations on them:

increase(X) − counter X is increased by 1, max counter − all counters are set to the maximum value of any counter. A non-empty array A of M integers is given. This array represents consecutive operations:

if A[K] = X, such that 1 ≤ X ≤ N, then operation K is increase(X), if A[K] = N + 1 then operation K is max counter. For example, given integer N = 5 and array A such that:

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

the values of the counters after each consecutive operation will be:

    (0, 0, 1, 0, 0)
    (0, 0, 1, 1, 0)
    (0, 0, 1, 2, 0)
    (2, 2, 2, 2, 2)
    (3, 2, 2, 2, 2)
    (3, 2, 2, 3, 2)
    (3, 2, 2, 4, 2)

The goal is to calculate the value of every counter after all operations.

Write a function:

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

that, given an integer N and a non-empty array A consisting of M integers, returns a sequence of integers representing the values of the counters.

Result array should be returned as an array of integers.

For example, given:

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

the function should return [3, 2, 2, 4, 2], as explained above.

Write an efficient algorithm for the following assumptions:

N and M are integers within the range [1..100,000];
each element of array A is an integer within the range [1..N + 1].

해석

  • N개의 카운터가 주어짐
    • 기본값은 0
  • 두가지 명령 가능
    • increase(X) : 카운터 X를 1 증가
    • max counter: 최대 값인 카운터의 값으로 모든 카운터 값 설정
  • A : 비어있지 않는 M 개의 정수로 이루어짐
  • A[K] = K 일때 1 <= X <= N 이면 증가
  • A[K] = N + 1 이면 max counter
  • 카운터의 시퀀스 값들을 리턴하라!

풀이

  • maxCounter 될 때 전체 couters를 업데이트 하지 말고 현재 max를 기록
  • 최종 counters 응답 시 maxCounter 보다 작으면 maxCounter로 설정

제약사항

  • N, M의 범위는 정수 [1..100,000]
  • A의 각 요소의 범위는 정수 [1..N + 1]

코드

public int[] solution(int N, int[] A) {
    int[] counter = new int[N];
    int maxCounterNum = 0;
    int num, counterIndex, max = 0;
    for (int i = 0; i < A.length; i++) {
        num = A[i];
        counterIndex = num - 1;
        if (num >= 1 && num <= N) {
            if (maxCounterNum >= counter[counterIndex])
                counter[counterIndex] = maxCounterNum + 1;
            else
                counter[counterIndex] = counter[counterIndex] + 1;
            max = Math.max(max, counter[counterIndex]);
        } else if (num == N + 1)
            maxCounterNum = max;
    }

    for (int i = 0; i < counter.length; i++) {
        if (maxCounterNum > 0 && maxCounterNum > counter[i])
            counter[i] = maxCounterNum;
    }
    return counter;
}

결과