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19195번 - Strange Sequence 다국어

시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 512 MB67191531.250%

문제

Consider the following well-known sequence $s$ consisting of strings of digits. Let $s_0 = $"2". Each next term is obtained by describing the previous term: split the previous term into consecutive groups of equal digits, and for each such group, write the size of the group followed by the digit the group consists of. Thus, the first few terms are constructed as follows:

Your task is to find the length of the $n$-th term of this sequence modulo 7ドル,340円,033円$.

String Description
$s_0 = $"2" one 2
$s_1 = $"12" one 1, one 2
$s_2 = $"1112" three 1s, one 2
$s_3 = $"3112" one 3, two 1s, one 2
$s_4 = $"132112" one 1, one 3, one 2, two 1s, one 2
$s_5 = $"1113122112" ...

Your task is to find the length of the $n$-th term of this sequence modulo 7ドル,340円,033円$.

입력

The first line of input contains one integer $n$ (0ドル \le n \le 10^{18}$).

출력

Print the length of $s_n$ modulo 7ドル,340円,033円$.

제한

예제 입력 1

0

예제 출력 1

1

예제 입력 2

2

예제 출력 2

4

힌트

출처

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