Collatz Sequence

Start with n. If it is even, divide it by 2; if it is odd, multiply it by 3 and add 1. Repeat until the value is 1. Include both the starting value and the final 1 in your answer.

Implement collatz_sequence(n).

Input

n: The positive starting integer.

Output

Return the complete sequence in order.

Restrições

1 ≤ n ≤ 10,000. Inputs in this range reach 1 under this rule; all sequence values fit a signed 64-bit integer.

Exemplos

Entrada:
n = 6

Saída esperada:
expected = [6, 3, 10, 5, 16, 8, 4, 2, 1]

Entrada:
long long n = 6;

Saída esperada:
std::vector<long long> expected = {6, 3, 10, 5, 16, 8, 4, 2, 1};

Entrada:
long n = 6;

Saída esperada:
long[] expected = new long[] {6, 3, 10, 5, 16, 8, 4, 2, 1};

Entrada:
n = 1

Saída esperada:
expected = [1]

Entrada:
long long n = 1;

Saída esperada:
std::vector<long long> expected = {1};

Entrada:
long n = 1;

Saída esperada:
long[] expected = new long[] {1};

Referências

Este desafio foi adaptado para o CodeUtility. Siga o enunciado e as restrições acima.

• #39 Collatz Sequence