## FANDOM

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THIS IS NOT A JOKE ANYMORE!!!

note: This author is in Japan, so he has time difference with the Wiki. In his clock, it is 6:45 in 3/10, but in Wiki clock, it's still 3/9.

In Part one, we defined M function. For more extension, I will change the notation a bit like this:

$M(a_1,a_2,\cdots,a_n)=Ma_1\{0\}a_2\{0\}\cdots \{0\}a_n$

Then, what will {a} behave?

```Look at the last two entries. How many brackets are there? If there is one, it's simple:
$Msth\ x\{n\}y=Msth\ x\{n-1\}x\{n-1\}\cdots x\{n-1\}x$ (y times x's)
Of course, the rule for {0} is already written in Part 1.

If there are more than 2 and the last bracket is {0},
$Msth\ x\ sb\{n\}\{0\}y=Msth\ x\ sb\{n\}x\ sb\{n\}\cdots x\ sb\{n\}x$ (y times x's)
and sb is the brackets before 0.
```
```Else (If there are more than 2 and the last bracket is not {0}),
$Msth\ x\ sb\{n\}\{a\}y=Msth\ x\ sb\{n\}\{a-1\}x\ sb\{n\}\{a-1\}\cdots x\ sb\{n\}\{a-1\}x$ (y times x's)
```

And we have numbers:

```M39{1}39=mono-bracket-di-miku
M39{1}39{1}39=mono-bracket-tri-miku
M39{1}39{1}39{1}39=mono-bracket-tetra-miku
M39{1}39{1}39{1}39{1}39=mono-bracket-penta-miku
M39{1}39{1}39{1}39{1}39{1}39=mono-bracket-hexa-miku

M39{1}{0}39=mono-bracket-miku-miku=mono-nil-bracket-di-miku
M39{1}{0}39{0}39=mono-nil-bracket-tri-miku
M39{1}{0}39{0}39{0}39=mono-nil-bracket-tetra-miku

M39{1}{1}39=mono-dibracket-di-miku
M39{1}{1}{1}39=mono-tribracket-di-miku
M39{1}{1}{1}{1}39=mono-tetrabracket-di-miku

M39{2}39=di-bracket-di-miku
M39{3}39=tri-bracket-di-miku
M39{4}39=tetra-bracket-di-miku
```

And the last number in this part is...

```M39{39}39=miku-bracker-di-miku=BRACKET-MIKKUMIKU
```