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A googol written out in decimal has 101 digits. A googolplex has one plus a googol digits. That's a lot of digits!

Given any number *x _{0}*, define a sequence using the following recurrence:

Your task is to determine the smallest positive *i* such that *x _{i}* =

Input consists of several lines. Each line contains a value of *x _{0}*. Every value of

For each value of *x _{0}* given in the input, output one line containing the smallest positive

```
42
END
```

```
3
```