[class3] (백준 9461) 파도반 수열

문제

오른쪽 그림과 같이 삼각형이 나선 모양으로 놓여져 있다. 첫 삼각형은 정삼각형으로 변의 길이는 1이다. 그 다음에는 다음과 같은 과정으로 정삼각형을 계속 추가한다. 나선에서 가장 긴 변의 길이를 k라 했을 때, 그 변에 길이가 k인 정삼각형을 추가한다.

파도반 수열 P(N)은 나선에 있는 정삼각형의 변의 길이이다. P(1)부터 P(10)까지 첫 10개 숫자는 1, 1, 1, 2, 2, 3, 4, 5, 7, 9이다.

N이 주어졌을 때, P(N)을 구하는 프로그램을 작성하시오.

입력

첫째 줄에 테스트 케이스의 개수 T가 주어진다. 각 테스트 케이스는 한 줄로 이루어져 있고, N이 주어진다. (1 ≤ N ≤ 100)

출력

각 테스트 케이스마다 P(N)을 출력한다.

제한

 

예제 입력 1

2
6
12

예제 출력 1

3
16

힌트

 

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출처

ICPC > Regionals > Asia Pacific > Korea > Asia Regional - Daejeon 2013 G번

• 문제를 번역한 사람: baekjoon
• 문제의 오타를 찾은 사람: eric00513

#include <iostream>
using namespace std;
long long arr[101];
long long GetNumber(int N)
{
    if (N <= 3)
        return 1;
    if (arr[N] == 0)
    {
        arr[N] = GetNumber(N - 2) + GetNumber(N - 3);
    }
    return arr[N];
}
int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int testCase, temp;
    cin >> testCase;
    while (testCase-- > 0)
    {
        cin >> temp;
        cout << GetNumber(temp) << '\n';
    }
    return 0;
}