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- ProjectEuler+
- Project Euler #188: The hyperexponentiation of a number

# Project Euler #188: The hyperexponentiation of a number

# Project Euler #188: The hyperexponentiation of a number

_{This problem is a programming version of Problem 188 from projecteuler.net}

The or of a number by a positive integer , denoted by or , is recursively defined by:

,

.

Thus we have e.g. , hence and is roughly .

Find .

**Input Format**

The first line of each test file contains a single integer which is the number of queries you have to process. lines follow, each containing three integers separated by single spaces: , and .

**Constraints**

**Output Format**

Print exactly lines with the corresponding on each line.

**Sample Input 0**

```
1
3 3 1000000000000000000
```

**Sample Output 0**

```
7625597484987
```