## 2016年4月25日月曜日

### Python - Conditionals and Recursion(Fermat's Last Theorem:)

Think Python (Allen B. Downey (著)、 O'Reilly Media)のChapter 5.(Conditionals and Recursion)のExercises 5-2(No. 1246)を取り組んでみる。

Exercises 5-2(No. 1246)

コード(Emacs)

``` #!/usr/bin/env python3 # -*- coding: utf-8 -*- def check_fermat(a, b, c, n): if n > 2 and (a ** n + b ** n) == c ** n: print('Holy smokes, Fermat was wrong!') else: print("No, that doesn't work") if __name__ == '__main__': a = 3 b = 4 c = 5 n = 2 print(a ** n + b ** n == c ** n) for a in range(1, 10): for b in range(a, 10): for c in range(b, 10): for n in range(5): print('a = {0}, b = {1}, c = {2}, n = {3}: '.\ format(a, b, c, n), end='') check_fermat(a, b, c, n) try: a = int(input('Enter a: ')) b = int(input('Enter b: ')) c = int(input('Enter c: ')) n = int(input('Enter n: ')) except Exception as err: print(err) else: check_fermat(a, b, c, n) ```

```\$ ./sample2.py
True
a = 1, b = 1, c = 1, n = 0: No, that doesn't work
a = 1, b = 1, c = 1, n = 1: No, that doesn't work
a = 1, b = 1, c = 1, n = 2: No, that doesn't work
a = 1, b = 1, c = 1, n = 3: No, that doesn't work
a = 1, b = 1, c = 1, n = 4: No, that doesn't work
a = 1, b = 1, c = 2, n = 0: No, that doesn't work
a = 1, b = 1, c = 2, n = 1: No, that doesn't work
a = 1, b = 1, c = 2, n = 2: No, that doesn't work
a = 1, b = 1, c = 2, n = 3: No, that doesn't work
a = 1, b = 1, c = 2, n = 4: No, that doesn't work
a = 1, b = 1, c = 3, n = 0: No, that doesn't work
a = 1, b = 1, c = 3, n = 1: No, that doesn't work
a = 1, b = 1, c = 3, n = 2: No, that doesn't work
a = 1, b = 1, c = 3, n = 3: No, that doesn't work
a = 1, b = 1, c = 3, n = 4: No, that doesn't work
a = 1, b = 1, c = 4, n = 0: No, that doesn't work
a = 1, b = 1, c = 4, n = 1: No, that doesn't work
a = 1, b = 1, c = 4, n = 2: No, that doesn't work
a = 1, b = 1, c = 4, n = 3: No, that doesn't work
a = 1, b = 1, c = 4, n = 4: No, that doesn't work
a = 1, b = 1, c = 5, n = 0: No, that doesn't work
a = 1, b = 1, c = 5, n = 1: No, that doesn't work
a = 1, b = 1, c = 5, n = 2: No, that doesn't work
a = 1, b = 1, c = 5, n = 3: No, that doesn't work
a = 1, b = 1, c = 5, n = 4: No, that doesn't work
a = 1, b = 1, c = 6, n = 0: No, that doesn't work
a = 1, b = 1, c = 6, n = 1: No, that doesn't work
a = 1, b = 1, c = 6, n = 2: No, that doesn't work
a = 1, b = 1, c = 6, n = 3: No, that doesn't work
a = 1, b = 1, c = 6, n = 4: No, that doesn't work
a = 1, b = 1, c = 7, n = 0: No, that doesn't work
a = 1, b = 1, c = 7, n = 1: No, that doesn't work
a = 1, b = 1, c = 7, n = 2: No, that doesn't work
a = 1, b = 1, c = 7, n = 3: No, that doesn't work
a = 1, b = 1, c = 7, n = 4: No, that doesn't work
a = 1, b = 1, c = 8, n = 0: No, that doesn't work
a = 1, b = 1, c = 8, n = 1: No, that doesn't work
a = 1, b = 1, c = 8, n = 2: No, that doesn't work
a = 1, b = 1, c = 8, n = 3: No, that doesn't work
a = 1, b = 1, c = 8, n = 4: No, that doesn't work
a = 1, b = 1, c = 9, n = 0: No, that doesn't work
a = 1, b = 1, c = 9, n = 1: No, that doesn't work
a = 1, b = 1, c = 9, n = 2: No, that doesn't work
a = 1, b = 1, c = 9, n = 3: No, that doesn't work
a = 1, b = 1, c = 9, n = 4: No, that doesn't work
a = 1, b = 2, c = 2, n = 0: No, that doesn't work
a = 1, b = 2, c = 2, n = 1: No, that doesn't work
a = 1, b = 2, c = 2, n = 2: No, that doesn't work
a = 1, b = 2, c = 2, n = 3: No, that doesn't work
a = 1, b = 2, c = 2, n = 4: No, that doesn't work
a = 1, b = 2, c = 3, n = 0: No, that doesn't work
a = 1, b = 2, c = 3, n = 1: No, that doesn't work
a = 1, b = 2, c = 3, n = 2: No, that doesn't work
a = 1, b = 2, c = 3, n = 3: No, that doesn't work
a = 1, b = 2, c = 3, n = 4: No, that doesn't work
a = 1, b = 2, c = 4, n = 0: No, that doesn't work
a = 1, b = 2, c = 4, n = 1: No, that doesn't work
a = 1, b = 2, c = 4, n = 2: No, that doesn't work
a = 1, b = 2, c = 4, n = 3: No, that doesn't work
a = 1, b = 2, c = 4, n = 4: No, that doesn't work
a = 1, b = 2, c = 5, n = 0: No, that doesn't work
a = 1, b = 2, c = 5, n = 1: No, that doesn't work
a = 1, b = 2, c = 5, n = 2: No, that doesn't work
a = 1, b = 2, c = 5, n = 3: No, that doesn't work
a = 1, b = 2, c = 5, n = 4: No, that doesn't work
a = 1, b = 2, c = 6, n = 0: No, that doesn't work
a = 1, b = 2, c = 6, n = 1: No, that doesn't work
a = 1, b = 2, c = 6, n = 2: No, that doesn't work
a = 1, b = 2, c = 6, n = 3: No, that doesn't work
a = 1, b = 2, c = 6, n = 4: No, that doesn't work
a = 1, b = 2, c = 7, n = 0: No, that doesn't work
a = 1, b = 2, c = 7, n = 1: No, that doesn't work
a = 1, b = 2, c = 7, n = 2: No, that doesn't work
a = 1, b = 2, c = 7, n = 3: No, that doesn't work
a = 1, b = 2, c = 7, n = 4: No, that doesn't work
a = 1, b = 2, c = 8, n = 0: No, that doesn't work
a = 1, b = 2, c = 8, n = 1: No, that doesn't work
a = 1, b = 2, c = 8, n = 2: No, that doesn't work
a = 1, b = 2, c = 8, n = 3: No, that doesn't work
a = 1, b = 2, c = 8, n = 4: No, that doesn't work
a = 1, b = 2, c = 9, n = 0: No, that doesn't work
a = 1, b = 2, c = 9, n = 1: No, that doesn't work
a = 1, b = 2, c = 9, n = 2: No, that doesn't work
a = 1, b = 2, c = 9, n = 3: No, that doesn't work
a = 1, b = 2, c = 9, n = 4: No, that doesn't work
a = 1, b = 3, c = 3, n = 0: No, that doesn't work
a = 1, b = 3, c = 3, n = 1: No, that doesn't work
a = 1, b = 3, c = 3, n = 2: No, that doesn't work
a = 1, b = 3, c = 3, n = 3: No, that doesn't work
a = 1, b = 3, c = 3, n = 4: No, that doesn't work
a = 1, b = 3, c = 4, n = 0: No, that doesn't work
a = 1, b = 3, c = 4, n = 1: No, that doesn't work
a = 1, b = 3, c = 4, n = 2: No, that doesn't work
a = 1, b = 3, c = 4, n = 3: No, that doesn't work
a = 1, b = 3, c = 4, n = 4: No, that doesn't work
a = 1, b = 3, c = 5, n = 0: No, that doesn't work
a = 1, b = 3, c = 5, n = 1: No, that doesn't work
a = 1, b = 3, c = 5, n = 2: No, that doesn't work
a = 1, b = 3, c = 5, n = 3: No, that doesn't work
a = 1, b = 3, c = 5, n = 4: No, that doesn't work
a = 1, b = 3, c = 6, n = 0: No, that doesn't work
a = 1, b = 3, c = 6, n = 1: No, that doesn't work
a = 1, b = 3, c = 6, n = 2: No, that doesn't work
a = 1, b = 3, c = 6, n = 3: No, that doesn't work
a = 1, b = 3, c = 6, n = 4: No, that doesn't work
a = 1, b = 3, c = 7, n = 0: No, that doesn't work
a = 1, b = 3, c = 7, n = 1: No, that doesn't work
a = 1, b = 3, c = 7, n = 2: No, that doesn't work
a = 1, b = 3, c = 7, n = 3: No, that doesn't work
a = 1, b = 3, c = 7, n = 4: No, that doesn't work
a = 1, b = 3, c = 8, n = 0: No, that doesn't work
a = 1, b = 3, c = 8, n = 1: No, that doesn't work
a = 1, b = 3, c = 8, n = 2: No, that doesn't work
a = 1, b = 3, c = 8, n = 3: No, that doesn't work
a = 1, b = 3, c = 8, n = 4: No, that doesn't work
a = 1, b = 3, c = 9, n = 0: No, that doesn't work
a = 1, b = 3, c = 9, n = 1: No, that doesn't work
a = 1, b = 3, c = 9, n = 2: No, that doesn't work
a = 1, b = 3, c = 9, n = 3: No, that doesn't work
a = 1, b = 3, c = 9, n = 4: No, that doesn't work
a = 1, b = 4, c = 4, n = 0: No, that doesn't work
a = 1, b = 4, c = 4, n = 1: No, that doesn't work
a = 1, b = 4, c = 4, n = 2: No, that doesn't work
a = 1, b = 4, c = 4, n = 3: No, that doesn't work
a = 1, b = 4, c = 4, n = 4: No, that doesn't work
a = 1, b = 4, c = 5, n = 0: No, that doesn't work
a = 1, b = 4, c = 5, n = 1: No, that doesn't work
a = 1, b = 4, c = 5, n = 2: No, that doesn't work
a = 1, b = 4, c = 5, n = 3: No, that doesn't work
a = 1, b = 4, c = 5, n = 4: No, that doesn't work
a = 1, b = 4, c = 6, n = 0: No, that doesn't work
a = 1, b = 4, c = 6, n = 1: No, that doesn't work
a = 1, b = 4, c = 6, n = 2: No, that doesn't work
a = 1, b = 4, c = 6, n = 3: No, that doesn't work
a = 1, b = 4, c = 6, n = 4: No, that doesn't work
a = 1, b = 4, c = 7, n = 0: No, that doesn't work
a = 1, b = 4, c = 7, n = 1: No, that doesn't work
a = 1, b = 4, c = 7, n = 2: No, that doesn't work
a = 1, b = 4, c = 7, n = 3: No, that doesn't work
a = 1, b = 4, c = 7, n = 4: No, that doesn't work
a = 1, b = 4, c = 8, n = 0: No, that doesn't work
a = 1, b = 4, c = 8, n = 1: No, that doesn't work
a = 1, b = 4, c = 8, n = 2: No, that doesn't work
a = 1, b = 4, c = 8, n = 3: No, that doesn't work
a = 1, b = 4, c = 8, n = 4: No, that doesn't work
a = 1, b = 4, c = 9, n = 0: No, that doesn't work
a = 1, b = 4, c = 9, n = 1: No, that doesn't work
a = 1, b = 4, c = 9, n = 2: No, that doesn't work
a = 1, b = 4, c = 9, n = 3: No, that doesn't work
a = 1, b = 4, c = 9, n = 4: No, that doesn't work
a = 1, b = 5, c = 5, n = 0: No, that doesn't work
a = 1, b = 5, c = 5, n = 1: No, that doesn't work
a = 1, b = 5, c = 5, n = 2: No, that doesn't work
a = 1, b = 5, c = 5, n = 3: No, that doesn't work
a = 1, b = 5, c = 5, n = 4: No, that doesn't work
a = 1, b = 5, c = 6, n = 0: No, that doesn't work
a = 1, b = 5, c = 6, n = 1: No, that doesn't work
a = 1, b = 5, c = 6, n = 2: No, that doesn't work
a = 1, b = 5, c = 6, n = 3: No, that doesn't work
a = 1, b = 5, c = 6, n = 4: No, that doesn't work
a = 1, b = 5, c = 7, n = 0: No, that doesn't work
a = 1, b = 5, c = 7, n = 1: No, that doesn't work
a = 1, b = 5, c = 7, n = 2: No, that doesn't work
a = 1, b = 5, c = 7, n = 3: No, that doesn't work
a = 1, b = 5, c = 7, n = 4: No, that doesn't work
a = 1, b = 5, c = 8, n = 0: No, that doesn't work
a = 1, b = 5, c = 8, n = 1: No, that doesn't work
a = 1, b = 5, c = 8, n = 2: No, that doesn't work
a = 1, b = 5, c = 8, n = 3: No, that doesn't work
a = 1, b = 5, c = 8, n = 4: No, that doesn't work
a = 1, b = 5, c = 9, n = 0: No, that doesn't work
a = 1, b = 5, c = 9, n = 1: No, that doesn't work
a = 1, b = 5, c = 9, n = 2: No, that doesn't work
a = 1, b = 5, c = 9, n = 3: No, that doesn't work
a = 1, b = 5, c = 9, n = 4: No, that doesn't work
a = 1, b = 6, c = 6, n = 0: No, that doesn't work
a = 1, b = 6, c = 6, n = 1: No, that doesn't work
a = 1, b = 6, c = 6, n = 2: No, that doesn't work
a = 1, b = 6, c = 6, n = 3: No, that doesn't work
a = 1, b = 6, c = 6, n = 4: No, that doesn't work
a = 1, b = 6, c = 7, n = 0: No, that doesn't work
a = 1, b = 6, c = 7, n = 1: No, that doesn't work
a = 1, b = 6, c = 7, n = 2: No, that doesn't work
a = 1, b = 6, c = 7, n = 3: No, that doesn't work
a = 1, b = 6, c = 7, n = 4: No, that doesn't work
a = 1, b = 6, c = 8, n = 0: No, that doesn't work
a = 1, b = 6, c = 8, n = 1: No, that doesn't work
a = 1, b = 6, c = 8, n = 2: No, that doesn't work
a = 1, b = 6, c = 8, n = 3: No, that doesn't work
a = 1, b = 6, c = 8, n = 4: No, that doesn't work
a = 1, b = 6, c = 9, n = 0: No, that doesn't work
a = 1, b = 6, c = 9, n = 1: No, that doesn't work
a = 1, b = 6, c = 9, n = 2: No, that doesn't work
a = 1, b = 6, c = 9, n = 3: No, that doesn't work
a = 1, b = 6, c = 9, n = 4: No, that doesn't work
a = 1, b = 7, c = 7, n = 0: No, that doesn't work
a = 1, b = 7, c = 7, n = 1: No, that doesn't work
a = 1, b = 7, c = 7, n = 2: No, that doesn't work
a = 1, b = 7, c = 7, n = 3: No, that doesn't work
a = 1, b = 7, c = 7, n = 4: No, that doesn't work
a = 1, b = 7, c = 8, n = 0: No, that doesn't work
a = 1, b = 7, c = 8, n = 1: No, that doesn't work
a = 1, b = 7, c = 8, n = 2: No, that doesn't work
a = 1, b = 7, c = 8, n = 3: No, that doesn't work
a = 1, b = 7, c = 8, n = 4: No, that doesn't work
a = 1, b = 7, c = 9, n = 0: No, that doesn't work
a = 1, b = 7, c = 9, n = 1: No, that doesn't work
a = 1, b = 7, c = 9, n = 2: No, that doesn't work
a = 1, b = 7, c = 9, n = 3: No, that doesn't work
a = 1, b = 7, c = 9, n = 4: No, that doesn't work
a = 1, b = 8, c = 8, n = 0: No, that doesn't work
a = 1, b = 8, c = 8, n = 1: No, that doesn't work
a = 1, b = 8, c = 8, n = 2: No, that doesn't work
a = 1, b = 8, c = 8, n = 3: No, that doesn't work
a = 1, b = 8, c = 8, n = 4: No, that doesn't work
a = 1, b = 8, c = 9, n = 0: No, that doesn't work
a = 1, b = 8, c = 9, n = 1: No, that doesn't work
a = 1, b = 8, c = 9, n = 2: No, that doesn't work
a = 1, b = 8, c = 9, n = 3: No, that doesn't work
a = 1, b = 8, c = 9, n = 4: No, that doesn't work
a = 1, b = 9, c = 9, n = 0: No, that doesn't work
a = 1, b = 9, c = 9, n = 1: No, that doesn't work
a = 1, b = 9, c = 9, n = 2: No, that doesn't work
a = 1, b = 9, c = 9, n = 3: No, that doesn't work
a = 1, b = 9, c = 9, n = 4: No, that doesn't work
a = 2, b = 2, c = 2, n = 0: No, that doesn't work
a = 2, b = 2, c = 2, n = 1: No, that doesn't work
a = 2, b = 2, c = 2, n = 2: No, that doesn't work
a = 2, b = 2, c = 2, n = 3: No, that doesn't work
a = 2, b = 2, c = 2, n = 4: No, that doesn't work
a = 2, b = 2, c = 3, n = 0: No, that doesn't work
a = 2, b = 2, c = 3, n = 1: No, that doesn't work
a = 2, b = 2, c = 3, n = 2: No, that doesn't work
a = 2, b = 2, c = 3, n = 3: No, that doesn't work
a = 2, b = 2, c = 3, n = 4: No, that doesn't work
a = 2, b = 2, c = 4, n = 0: No, that doesn't work
a = 2, b = 2, c = 4, n = 1: No, that doesn't work
a = 2, b = 2, c = 4, n = 2: No, that doesn't work
a = 2, b = 2, c = 4, n = 3: No, that doesn't work
a = 2, b = 2, c = 4, n = 4: No, that doesn't work
a = 2, b = 2, c = 5, n = 0: No, that doesn't work
a = 2, b = 2, c = 5, n = 1: No, that doesn't work
a = 2, b = 2, c = 5, n = 2: No, that doesn't work
a = 2, b = 2, c = 5, n = 3: No, that doesn't work
a = 2, b = 2, c = 5, n = 4: No, that doesn't work
a = 2, b = 2, c = 6, n = 0: No, that doesn't work
a = 2, b = 2, c = 6, n = 1: No, that doesn't work
a = 2, b = 2, c = 6, n = 2: No, that doesn't work
a = 2, b = 2, c = 6, n = 3: No, that doesn't work
a = 2, b = 2, c = 6, n = 4: No, that doesn't work
a = 2, b = 2, c = 7, n = 0: No, that doesn't work
a = 2, b = 2, c = 7, n = 1: No, that doesn't work
a = 2, b = 2, c = 7, n = 2: No, that doesn't work
a = 2, b = 2, c = 7, n = 3: No, that doesn't work
a = 2, b = 2, c = 7, n = 4: No, that doesn't work
a = 2, b = 2, c = 8, n = 0: No, that doesn't work
a = 2, b = 2, c = 8, n = 1: No, that doesn't work
a = 2, b = 2, c = 8, n = 2: No, that doesn't work
a = 2, b = 2, c = 8, n = 3: No, that doesn't work
a = 2, b = 2, c = 8, n = 4: No, that doesn't work
a = 2, b = 2, c = 9, n = 0: No, that doesn't work
a = 2, b = 2, c = 9, n = 1: No, that doesn't work
a = 2, b = 2, c = 9, n = 2: No, that doesn't work
a = 2, b = 2, c = 9, n = 3: No, that doesn't work
a = 2, b = 2, c = 9, n = 4: No, that doesn't work
a = 2, b = 3, c = 3, n = 0: No, that doesn't work
a = 2, b = 3, c = 3, n = 1: No, that doesn't work
a = 2, b = 3, c = 3, n = 2: No, that doesn't work
a = 2, b = 3, c = 3, n = 3: No, that doesn't work
a = 2, b = 3, c = 3, n = 4: No, that doesn't work
a = 2, b = 3, c = 4, n = 0: No, that doesn't work
a = 2, b = 3, c = 4, n = 1: No, that doesn't work
a = 2, b = 3, c = 4, n = 2: No, that doesn't work
a = 2, b = 3, c = 4, n = 3: No, that doesn't work
a = 2, b = 3, c = 4, n = 4: No, that doesn't work
a = 2, b = 3, c = 5, n = 0: No, that doesn't work
a = 2, b = 3, c = 5, n = 1: No, that doesn't work
a = 2, b = 3, c = 5, n = 2: No, that doesn't work
a = 2, b = 3, c = 5, n = 3: No, that doesn't work
a = 2, b = 3, c = 5, n = 4: No, that doesn't work
a = 2, b = 3, c = 6, n = 0: No, that doesn't work
a = 2, b = 3, c = 6, n = 1: No, that doesn't work
a = 2, b = 3, c = 6, n = 2: No, that doesn't work
a = 2, b = 3, c = 6, n = 3: No, that doesn't work
a = 2, b = 3, c = 6, n = 4: No, that doesn't work
a = 2, b = 3, c = 7, n = 0: No, that doesn't work
a = 2, b = 3, c = 7, n = 1: No, that doesn't work
a = 2, b = 3, c = 7, n = 2: No, that doesn't work
a = 2, b = 3, c = 7, n = 3: No, that doesn't work
a = 2, b = 3, c = 7, n = 4: No, that doesn't work
a = 2, b = 3, c = 8, n = 0: No, that doesn't work
a = 2, b = 3, c = 8, n = 1: No, that doesn't work
a = 2, b = 3, c = 8, n = 2: No, that doesn't work
a = 2, b = 3, c = 8, n = 3: No, that doesn't work
a = 2, b = 3, c = 8, n = 4: No, that doesn't work
a = 2, b = 3, c = 9, n = 0: No, that doesn't work
a = 2, b = 3, c = 9, n = 1: No, that doesn't work
a = 2, b = 3, c = 9, n = 2: No, that doesn't work
a = 2, b = 3, c = 9, n = 3: No, that doesn't work
a = 2, b = 3, c = 9, n = 4: No, that doesn't work
a = 2, b = 4, c = 4, n = 0: No, that doesn't work
a = 2, b = 4, c = 4, n = 1: No, that doesn't work
a = 2, b = 4, c = 4, n = 2: No, that doesn't work
a = 2, b = 4, c = 4, n = 3: No, that doesn't work
a = 2, b = 4, c = 4, n = 4: No, that doesn't work
a = 2, b = 4, c = 5, n = 0: No, that doesn't work
a = 2, b = 4, c = 5, n = 1: No, that doesn't work
a = 2, b = 4, c = 5, n = 2: No, that doesn't work
a = 2, b = 4, c = 5, n = 3: No, that doesn't work
a = 2, b = 4, c = 5, n = 4: No, that doesn't work
a = 2, b = 4, c = 6, n = 0: No, that doesn't work
a = 2, b = 4, c = 6, n = 1: No, that doesn't work
a = 2, b = 4, c = 6, n = 2: No, that doesn't work
a = 2, b = 4, c = 6, n = 3: No, that doesn't work
a = 2, b = 4, c = 6, n = 4: No, that doesn't work
a = 2, b = 4, c = 7, n = 0: No, that doesn't work
a = 2, b = 4, c = 7, n = 1: No, that doesn't work
a = 2, b = 4, c = 7, n = 2: No, that doesn't work
a = 2, b = 4, c = 7, n = 3: No, that doesn't work
a = 2, b = 4, c = 7, n = 4: No, that doesn't work
a = 2, b = 4, c = 8, n = 0: No, that doesn't work
a = 2, b = 4, c = 8, n = 1: No, that doesn't work
a = 2, b = 4, c = 8, n = 2: No, that doesn't work
a = 2, b = 4, c = 8, n = 3: No, that doesn't work
a = 2, b = 4, c = 8, n = 4: No, that doesn't work
a = 2, b = 4, c = 9, n = 0: No, that doesn't work
a = 2, b = 4, c = 9, n = 1: No, that doesn't work
a = 2, b = 4, c = 9, n = 2: No, that doesn't work
a = 2, b = 4, c = 9, n = 3: No, that doesn't work
a = 2, b = 4, c = 9, n = 4: No, that doesn't work
a = 2, b = 5, c = 5, n = 0: No, that doesn't work
a = 2, b = 5, c = 5, n = 1: No, that doesn't work
a = 2, b = 5, c = 5, n = 2: No, that doesn't work
a = 2, b = 5, c = 5, n = 3: No, that doesn't work
a = 2, b = 5, c = 5, n = 4: No, that doesn't work
a = 2, b = 5, c = 6, n = 0: No, that doesn't work
a = 2, b = 5, c = 6, n = 1: No, that doesn't work
a = 2, b = 5, c = 6, n = 2: No, that doesn't work
a = 2, b = 5, c = 6, n = 3: No, that doesn't work
a = 2, b = 5, c = 6, n = 4: No, that doesn't work
a = 2, b = 5, c = 7, n = 0: No, that doesn't work
a = 2, b = 5, c = 7, n = 1: No, that doesn't work
a = 2, b = 5, c = 7, n = 2: No, that doesn't work
a = 2, b = 5, c = 7, n = 3: No, that doesn't work
a = 2, b = 5, c = 7, n = 4: No, that doesn't work
a = 2, b = 5, c = 8, n = 0: No, that doesn't work
a = 2, b = 5, c = 8, n = 1: No, that doesn't work
a = 2, b = 5, c = 8, n = 2: No, that doesn't work
a = 2, b = 5, c = 8, n = 3: No, that doesn't work
a = 2, b = 5, c = 8, n = 4: No, that doesn't work
a = 2, b = 5, c = 9, n = 0: No, that doesn't work
a = 2, b = 5, c = 9, n = 1: No, that doesn't work
a = 2, b = 5, c = 9, n = 2: No, that doesn't work
a = 2, b = 5, c = 9, n = 3: No, that doesn't work
a = 2, b = 5, c = 9, n = 4: No, that doesn't work
a = 2, b = 6, c = 6, n = 0: No, that doesn't work
a = 2, b = 6, c = 6, n = 1: No, that doesn't work
a = 2, b = 6, c = 6, n = 2: No, that doesn't work
a = 2, b = 6, c = 6, n = 3: No, that doesn't work
a = 2, b = 6, c = 6, n = 4: No, that doesn't work
a = 2, b = 6, c = 7, n = 0: No, that doesn't work
a = 2, b = 6, c = 7, n = 1: No, that doesn't work
a = 2, b = 6, c = 7, n = 2: No, that doesn't work
a = 2, b = 6, c = 7, n = 3: No, that doesn't work
a = 2, b = 6, c = 7, n = 4: No, that doesn't work
a = 2, b = 6, c = 8, n = 0: No, that doesn't work
a = 2, b = 6, c = 8, n = 1: No, that doesn't work
a = 2, b = 6, c = 8, n = 2: No, that doesn't work
a = 2, b = 6, c = 8, n = 3: No, that doesn't work
a = 2, b = 6, c = 8, n = 4: No, that doesn't work
a = 2, b = 6, c = 9, n = 0: No, that doesn't work
a = 2, b = 6, c = 9, n = 1: No, that doesn't work
a = 2, b = 6, c = 9, n = 2: No, that doesn't work
a = 2, b = 6, c = 9, n = 3: No, that doesn't work
a = 2, b = 6, c = 9, n = 4: No, that doesn't work
a = 2, b = 7, c = 7, n = 0: No, that doesn't work
a = 2, b = 7, c = 7, n = 1: No, that doesn't work
a = 2, b = 7, c = 7, n = 2: No, that doesn't work
a = 2, b = 7, c = 7, n = 3: No, that doesn't work
a = 2, b = 7, c = 7, n = 4: No, that doesn't work
a = 2, b = 7, c = 8, n = 0: No, that doesn't work
a = 2, b = 7, c = 8, n = 1: No, that doesn't work
a = 2, b = 7, c = 8, n = 2: No, that doesn't work
a = 2, b = 7, c = 8, n = 3: No, that doesn't work
a = 2, b = 7, c = 8, n = 4: No, that doesn't work
a = 2, b = 7, c = 9, n = 0: No, that doesn't work
a = 2, b = 7, c = 9, n = 1: No, that doesn't work
a = 2, b = 7, c = 9, n = 2: No, that doesn't work
a = 2, b = 7, c = 9, n = 3: No, that doesn't work
a = 2, b = 7, c = 9, n = 4: No, that doesn't work
a = 2, b = 8, c = 8, n = 0: No, that doesn't work
a = 2, b = 8, c = 8, n = 1: No, that doesn't work
a = 2, b = 8, c = 8, n = 2: No, that doesn't work
a = 2, b = 8, c = 8, n = 3: No, that doesn't work
a = 2, b = 8, c = 8, n = 4: No, that doesn't work
a = 2, b = 8, c = 9, n = 0: No, that doesn't work
a = 2, b = 8, c = 9, n = 1: No, that doesn't work
a = 2, b = 8, c = 9, n = 2: No, that doesn't work
a = 2, b = 8, c = 9, n = 3: No, that doesn't work
a = 2, b = 8, c = 9, n = 4: No, that doesn't work
a = 2, b = 9, c = 9, n = 0: No, that doesn't work
a = 2, b = 9, c = 9, n = 1: No, that doesn't work
a = 2, b = 9, c = 9, n = 2: No, that doesn't work
a = 2, b = 9, c = 9, n = 3: No, that doesn't work
a = 2, b = 9, c = 9, n = 4: No, that doesn't work
a = 3, b = 3, c = 3, n = 0: No, that doesn't work
a = 3, b = 3, c = 3, n = 1: No, that doesn't work
a = 3, b = 3, c = 3, n = 2: No, that doesn't work
a = 3, b = 3, c = 3, n = 3: No, that doesn't work
a = 3, b = 3, c = 3, n = 4: No, that doesn't work
a = 3, b = 3, c = 4, n = 0: No, that doesn't work
a = 3, b = 3, c = 4, n = 1: No, that doesn't work
a = 3, b = 3, c = 4, n = 2: No, that doesn't work
a = 3, b = 3, c = 4, n = 3: No, that doesn't work
a = 3, b = 3, c = 4, n = 4: No, that doesn't work
a = 3, b = 3, c = 5, n = 0: No, that doesn't work
a = 3, b = 3, c = 5, n = 1: No, that doesn't work
a = 3, b = 3, c = 5, n = 2: No, that doesn't work
a = 3, b = 3, c = 5, n = 3: No, that doesn't work
a = 3, b = 3, c = 5, n = 4: No, that doesn't work
a = 3, b = 3, c = 6, n = 0: No, that doesn't work
a = 3, b = 3, c = 6, n = 1: No, that doesn't work
a = 3, b = 3, c = 6, n = 2: No, that doesn't work
a = 3, b = 3, c = 6, n = 3: No, that doesn't work
a = 3, b = 3, c = 6, n = 4: No, that doesn't work
a = 3, b = 3, c = 7, n = 0: No, that doesn't work
a = 3, b = 3, c = 7, n = 1: No, that doesn't work
a = 3, b = 3, c = 7, n = 2: No, that doesn't work
a = 3, b = 3, c = 7, n = 3: No, that doesn't work
a = 3, b = 3, c = 7, n = 4: No, that doesn't work
a = 3, b = 3, c = 8, n = 0: No, that doesn't work
a = 3, b = 3, c = 8, n = 1: No, that doesn't work
a = 3, b = 3, c = 8, n = 2: No, that doesn't work
a = 3, b = 3, c = 8, n = 3: No, that doesn't work
a = 3, b = 3, c = 8, n = 4: No, that doesn't work
a = 3, b = 3, c = 9, n = 0: No, that doesn't work
a = 3, b = 3, c = 9, n = 1: No, that doesn't work
a = 3, b = 3, c = 9, n = 2: No, that doesn't work
a = 3, b = 3, c = 9, n = 3: No, that doesn't work
a = 3, b = 3, c = 9, n = 4: No, that doesn't work
a = 3, b = 4, c = 4, n = 0: No, that doesn't work
a = 3, b = 4, c = 4, n = 1: No, that doesn't work
a = 3, b = 4, c = 4, n = 2: No, that doesn't work
a = 3, b = 4, c = 4, n = 3: No, that doesn't work
a = 3, b = 4, c = 4, n = 4: No, that doesn't work
a = 3, b = 4, c = 5, n = 0: No, that doesn't work
a = 3, b = 4, c = 5, n = 1: No, that doesn't work
a = 3, b = 4, c = 5, n = 2: No, that doesn't work
a = 3, b = 4, c = 5, n = 3: No, that doesn't work
a = 3, b = 4, c = 5, n = 4: No, that doesn't work
a = 3, b = 4, c = 6, n = 0: No, that doesn't work
a = 3, b = 4, c = 6, n = 1: No, that doesn't work
a = 3, b = 4, c = 6, n = 2: No, that doesn't work
a = 3, b = 4, c = 6, n = 3: No, that doesn't work
a = 3, b = 4, c = 6, n = 4: No, that doesn't work
a = 3, b = 4, c = 7, n = 0: No, that doesn't work
a = 3, b = 4, c = 7, n = 1: No, that doesn't work
a = 3, b = 4, c = 7, n = 2: No, that doesn't work
a = 3, b = 4, c = 7, n = 3: No, that doesn't work
a = 3, b = 4, c = 7, n = 4: No, that doesn't work
a = 3, b = 4, c = 8, n = 0: No, that doesn't work
a = 3, b = 4, c = 8, n = 1: No, that doesn't work
a = 3, b = 4, c = 8, n = 2: No, that doesn't work
a = 3, b = 4, c = 8, n = 3: No, that doesn't work
a = 3, b = 4, c = 8, n = 4: No, that doesn't work
a = 3, b = 4, c = 9, n = 0: No, that doesn't work
a = 3, b = 4, c = 9, n = 1: No, that doesn't work
a = 3, b = 4, c = 9, n = 2: No, that doesn't work
a = 3, b = 4, c = 9, n = 3: No, that doesn't work
a = 3, b = 4, c = 9, n = 4: No, that doesn't work
a = 3, b = 5, c = 5, n = 0: No, that doesn't work
a = 3, b = 5, c = 5, n = 1: No, that doesn't work
a = 3, b = 5, c = 5, n = 2: No, that doesn't work
a = 3, b = 5, c = 5, n = 3: No, that doesn't work
a = 3, b = 5, c = 5, n = 4: No, that doesn't work
a = 3, b = 5, c = 6, n = 0: No, that doesn't work
a = 3, b = 5, c = 6, n = 1: No, that doesn't work
a = 3, b = 5, c = 6, n = 2: No, that doesn't work
a = 3, b = 5, c = 6, n = 3: No, that doesn't work
a = 3, b = 5, c = 6, n = 4: No, that doesn't work
a = 3, b = 5, c = 7, n = 0: No, that doesn't work
a = 3, b = 5, c = 7, n = 1: No, that doesn't work
a = 3, b = 5, c = 7, n = 2: No, that doesn't work
a = 3, b = 5, c = 7, n = 3: No, that doesn't work
a = 3, b = 5, c = 7, n = 4: No, that doesn't work
a = 3, b = 5, c = 8, n = 0: No, that doesn't work
a = 3, b = 5, c = 8, n = 1: No, that doesn't work
a = 3, b = 5, c = 8, n = 2: No, that doesn't work
a = 3, b = 5, c = 8, n = 3: No, that doesn't work
a = 3, b = 5, c = 8, n = 4: No, that doesn't work
a = 3, b = 5, c = 9, n = 0: No, that doesn't work
a = 3, b = 5, c = 9, n = 1: No, that doesn't work
a = 3, b = 5, c = 9, n = 2: No, that doesn't work
a = 3, b = 5, c = 9, n = 3: No, that doesn't work
a = 3, b = 5, c = 9, n = 4: No, that doesn't work
a = 3, b = 6, c = 6, n = 0: No, that doesn't work
a = 3, b = 6, c = 6, n = 1: No, that doesn't work
a = 3, b = 6, c = 6, n = 2: No, that doesn't work
a = 3, b = 6, c = 6, n = 3: No, that doesn't work
a = 3, b = 6, c = 6, n = 4: No, that doesn't work
a = 3, b = 6, c = 7, n = 0: No, that doesn't work
a = 3, b = 6, c = 7, n = 1: No, that doesn't work
a = 3, b = 6, c = 7, n = 2: No, that doesn't work
a = 3, b = 6, c = 7, n = 3: No, that doesn't work
a = 3, b = 6, c = 7, n = 4: No, that doesn't work
a = 3, b = 6, c = 8, n = 0: No, that doesn't work
a = 3, b = 6, c = 8, n = 1: No, that doesn't work
a = 3, b = 6, c = 8, n = 2: No, that doesn't work
a = 3, b = 6, c = 8, n = 3: No, that doesn't work
a = 3, b = 6, c = 8, n = 4: No, that doesn't work
a = 3, b = 6, c = 9, n = 0: No, that doesn't work
a = 3, b = 6, c = 9, n = 1: No, that doesn't work
a = 3, b = 6, c = 9, n = 2: No, that doesn't work
a = 3, b = 6, c = 9, n = 3: No, that doesn't work
a = 3, b = 6, c = 9, n = 4: No, that doesn't work
a = 3, b = 7, c = 7, n = 0: No, that doesn't work
a = 3, b = 7, c = 7, n = 1: No, that doesn't work
a = 3, b = 7, c = 7, n = 2: No, that doesn't work
a = 3, b = 7, c = 7, n = 3: No, that doesn't work
a = 3, b = 7, c = 7, n = 4: No, that doesn't work
a = 3, b = 7, c = 8, n = 0: No, that doesn't work
a = 3, b = 7, c = 8, n = 1: No, that doesn't work
a = 3, b = 7, c = 8, n = 2: No, that doesn't work
a = 3, b = 7, c = 8, n = 3: No, that doesn't work
a = 3, b = 7, c = 8, n = 4: No, that doesn't work
a = 3, b = 7, c = 9, n = 0: No, that doesn't work
a = 3, b = 7, c = 9, n = 1: No, that doesn't work
a = 3, b = 7, c = 9, n = 2: No, that doesn't work
a = 3, b = 7, c = 9, n = 3: No, that doesn't work
a = 3, b = 7, c = 9, n = 4: No, that doesn't work
a = 3, b = 8, c = 8, n = 0: No, that doesn't work
a = 3, b = 8, c = 8, n = 1: No, that doesn't work
a = 3, b = 8, c = 8, n = 2: No, that doesn't work
a = 3, b = 8, c = 8, n = 3: No, that doesn't work
a = 3, b = 8, c = 8, n = 4: No, that doesn't work
a = 3, b = 8, c = 9, n = 0: No, that doesn't work
a = 3, b = 8, c = 9, n = 1: No, that doesn't work
a = 3, b = 8, c = 9, n = 2: No, that doesn't work
a = 3, b = 8, c = 9, n = 3: No, that doesn't work
a = 3, b = 8, c = 9, n = 4: No, that doesn't work
a = 3, b = 9, c = 9, n = 0: No, that doesn't work
a = 3, b = 9, c = 9, n = 1: No, that doesn't work
a = 3, b = 9, c = 9, n = 2: No, that doesn't work
a = 3, b = 9, c = 9, n = 3: No, that doesn't work
a = 3, b = 9, c = 9, n = 4: No, that doesn't work
a = 4, b = 4, c = 4, n = 0: No, that doesn't work
a = 4, b = 4, c = 4, n = 1: No, that doesn't work
a = 4, b = 4, c = 4, n = 2: No, that doesn't work
a = 4, b = 4, c = 4, n = 3: No, that doesn't work
a = 4, b = 4, c = 4, n = 4: No, that doesn't work
a = 4, b = 4, c = 5, n = 0: No, that doesn't work
a = 4, b = 4, c = 5, n = 1: No, that doesn't work
a = 4, b = 4, c = 5, n = 2: No, that doesn't work
a = 4, b = 4, c = 5, n = 3: No, that doesn't work
a = 4, b = 4, c = 5, n = 4: No, that doesn't work
a = 4, b = 4, c = 6, n = 0: No, that doesn't work
a = 4, b = 4, c = 6, n = 1: No, that doesn't work
a = 4, b = 4, c = 6, n = 2: No, that doesn't work
a = 4, b = 4, c = 6, n = 3: No, that doesn't work
a = 4, b = 4, c = 6, n = 4: No, that doesn't work
a = 4, b = 4, c = 7, n = 0: No, that doesn't work
a = 4, b = 4, c = 7, n = 1: No, that doesn't work
a = 4, b = 4, c = 7, n = 2: No, that doesn't work
a = 4, b = 4, c = 7, n = 3: No, that doesn't work
a = 4, b = 4, c = 7, n = 4: No, that doesn't work
a = 4, b = 4, c = 8, n = 0: No, that doesn't work
a = 4, b = 4, c = 8, n = 1: No, that doesn't work
a = 4, b = 4, c = 8, n = 2: No, that doesn't work
a = 4, b = 4, c = 8, n = 3: No, that doesn't work
a = 4, b = 4, c = 8, n = 4: No, that doesn't work
a = 4, b = 4, c = 9, n = 0: No, that doesn't work
a = 4, b = 4, c = 9, n = 1: No, that doesn't work
a = 4, b = 4, c = 9, n = 2: No, that doesn't work
a = 4, b = 4, c = 9, n = 3: No, that doesn't work
a = 4, b = 4, c = 9, n = 4: No, that doesn't work
a = 4, b = 5, c = 5, n = 0: No, that doesn't work
a = 4, b = 5, c = 5, n = 1: No, that doesn't work
a = 4, b = 5, c = 5, n = 2: No, that doesn't work
a = 4, b = 5, c = 5, n = 3: No, that doesn't work
a = 4, b = 5, c = 5, n = 4: No, that doesn't work
a = 4, b = 5, c = 6, n = 0: No, that doesn't work
a = 4, b = 5, c = 6, n = 1: No, that doesn't work
a = 4, b = 5, c = 6, n = 2: No, that doesn't work
a = 4, b = 5, c = 6, n = 3: No, that doesn't work
a = 4, b = 5, c = 6, n = 4: No, that doesn't work
a = 4, b = 5, c = 7, n = 0: No, that doesn't work
a = 4, b = 5, c = 7, n = 1: No, that doesn't work
a = 4, b = 5, c = 7, n = 2: No, that doesn't work
a = 4, b = 5, c = 7, n = 3: No, that doesn't work
a = 4, b = 5, c = 7, n = 4: No, that doesn't work
a = 4, b = 5, c = 8, n = 0: No, that doesn't work
a = 4, b = 5, c = 8, n = 1: No, that doesn't work
a = 4, b = 5, c = 8, n = 2: No, that doesn't work
a = 4, b = 5, c = 8, n = 3: No, that doesn't work
a = 4, b = 5, c = 8, n = 4: No, that doesn't work
a = 4, b = 5, c = 9, n = 0: No, that doesn't work
a = 4, b = 5, c = 9, n = 1: No, that doesn't work
a = 4, b = 5, c = 9, n = 2: No, that doesn't work
a = 4, b = 5, c = 9, n = 3: No, that doesn't work
a = 4, b = 5, c = 9, n = 4: No, that doesn't work
a = 4, b = 6, c = 6, n = 0: No, that doesn't work
a = 4, b = 6, c = 6, n = 1: No, that doesn't work
a = 4, b = 6, c = 6, n = 2: No, that doesn't work
a = 4, b = 6, c = 6, n = 3: No, that doesn't work
a = 4, b = 6, c = 6, n = 4: No, that doesn't work
a = 4, b = 6, c = 7, n = 0: No, that doesn't work
a = 4, b = 6, c = 7, n = 1: No, that doesn't work
a = 4, b = 6, c = 7, n = 2: No, that doesn't work
a = 4, b = 6, c = 7, n = 3: No, that doesn't work
a = 4, b = 6, c = 7, n = 4: No, that doesn't work
a = 4, b = 6, c = 8, n = 0: No, that doesn't work
a = 4, b = 6, c = 8, n = 1: No, that doesn't work
a = 4, b = 6, c = 8, n = 2: No, that doesn't work
a = 4, b = 6, c = 8, n = 3: No, that doesn't work
a = 4, b = 6, c = 8, n = 4: No, that doesn't work
a = 4, b = 6, c = 9, n = 0: No, that doesn't work
a = 4, b = 6, c = 9, n = 1: No, that doesn't work
a = 4, b = 6, c = 9, n = 2: No, that doesn't work
a = 4, b = 6, c = 9, n = 3: No, that doesn't work
a = 4, b = 6, c = 9, n = 4: No, that doesn't work
a = 4, b = 7, c = 7, n = 0: No, that doesn't work
a = 4, b = 7, c = 7, n = 1: No, that doesn't work
a = 4, b = 7, c = 7, n = 2: No, that doesn't work
a = 4, b = 7, c = 7, n = 3: No, that doesn't work
a = 4, b = 7, c = 7, n = 4: No, that doesn't work
a = 4, b = 7, c = 8, n = 0: No, that doesn't work
a = 4, b = 7, c = 8, n = 1: No, that doesn't work
a = 4, b = 7, c = 8, n = 2: No, that doesn't work
a = 4, b = 7, c = 8, n = 3: No, that doesn't work
a = 4, b = 7, c = 8, n = 4: No, that doesn't work
a = 4, b = 7, c = 9, n = 0: No, that doesn't work
a = 4, b = 7, c = 9, n = 1: No, that doesn't work
a = 4, b = 7, c = 9, n = 2: No, that doesn't work
a = 4, b = 7, c = 9, n = 3: No, that doesn't work
a = 4, b = 7, c = 9, n = 4: No, that doesn't work
a = 4, b = 8, c = 8, n = 0: No, that doesn't work
a = 4, b = 8, c = 8, n = 1: No, that doesn't work
a = 4, b = 8, c = 8, n = 2: No, that doesn't work
a = 4, b = 8, c = 8, n = 3: No, that doesn't work
a = 4, b = 8, c = 8, n = 4: No, that doesn't work
a = 4, b = 8, c = 9, n = 0: No, that doesn't work
a = 4, b = 8, c = 9, n = 1: No, that doesn't work
a = 4, b = 8, c = 9, n = 2: No, that doesn't work
a = 4, b = 8, c = 9, n = 3: No, that doesn't work
a = 4, b = 8, c = 9, n = 4: No, that doesn't work
a = 4, b = 9, c = 9, n = 0: No, that doesn't work
a = 4, b = 9, c = 9, n = 1: No, that doesn't work
a = 4, b = 9, c = 9, n = 2: No, that doesn't work
a = 4, b = 9, c = 9, n = 3: No, that doesn't work
a = 4, b = 9, c = 9, n = 4: No, that doesn't work
a = 5, b = 5, c = 5, n = 0: No, that doesn't work
a = 5, b = 5, c = 5, n = 1: No, that doesn't work
a = 5, b = 5, c = 5, n = 2: No, that doesn't work
a = 5, b = 5, c = 5, n = 3: No, that doesn't work
a = 5, b = 5, c = 5, n = 4: No, that doesn't work
a = 5, b = 5, c = 6, n = 0: No, that doesn't work
a = 5, b = 5, c = 6, n = 1: No, that doesn't work
a = 5, b = 5, c = 6, n = 2: No, that doesn't work
a = 5, b = 5, c = 6, n = 3: No, that doesn't work
a = 5, b = 5, c = 6, n = 4: No, that doesn't work
a = 5, b = 5, c = 7, n = 0: No, that doesn't work
a = 5, b = 5, c = 7, n = 1: No, that doesn't work
a = 5, b = 5, c = 7, n = 2: No, that doesn't work
a = 5, b = 5, c = 7, n = 3: No, that doesn't work
a = 5, b = 5, c = 7, n = 4: No, that doesn't work
a = 5, b = 5, c = 8, n = 0: No, that doesn't work
a = 5, b = 5, c = 8, n = 1: No, that doesn't work
a = 5, b = 5, c = 8, n = 2: No, that doesn't work
a = 5, b = 5, c = 8, n = 3: No, that doesn't work
a = 5, b = 5, c = 8, n = 4: No, that doesn't work
a = 5, b = 5, c = 9, n = 0: No, that doesn't work
a = 5, b = 5, c = 9, n = 1: No, that doesn't work
a = 5, b = 5, c = 9, n = 2: No, that doesn't work
a = 5, b = 5, c = 9, n = 3: No, that doesn't work
a = 5, b = 5, c = 9, n = 4: No, that doesn't work
a = 5, b = 6, c = 6, n = 0: No, that doesn't work
a = 5, b = 6, c = 6, n = 1: No, that doesn't work
a = 5, b = 6, c = 6, n = 2: No, that doesn't work
a = 5, b = 6, c = 6, n = 3: No, that doesn't work
a = 5, b = 6, c = 6, n = 4: No, that doesn't work
a = 5, b = 6, c = 7, n = 0: No, that doesn't work
a = 5, b = 6, c = 7, n = 1: No, that doesn't work
a = 5, b = 6, c = 7, n = 2: No, that doesn't work
a = 5, b = 6, c = 7, n = 3: No, that doesn't work
a = 5, b = 6, c = 7, n = 4: No, that doesn't work
a = 5, b = 6, c = 8, n = 0: No, that doesn't work
a = 5, b = 6, c = 8, n = 1: No, that doesn't work
a = 5, b = 6, c = 8, n = 2: No, that doesn't work
a = 5, b = 6, c = 8, n = 3: No, that doesn't work
a = 5, b = 6, c = 8, n = 4: No, that doesn't work
a = 5, b = 6, c = 9, n = 0: No, that doesn't work
a = 5, b = 6, c = 9, n = 1: No, that doesn't work
a = 5, b = 6, c = 9, n = 2: No, that doesn't work
a = 5, b = 6, c = 9, n = 3: No, that doesn't work
a = 5, b = 6, c = 9, n = 4: No, that doesn't work
a = 5, b = 7, c = 7, n = 0: No, that doesn't work
a = 5, b = 7, c = 7, n = 1: No, that doesn't work
a = 5, b = 7, c = 7, n = 2: No, that doesn't work
a = 5, b = 7, c = 7, n = 3: No, that doesn't work
a = 5, b = 7, c = 7, n = 4: No, that doesn't work
a = 5, b = 7, c = 8, n = 0: No, that doesn't work
a = 5, b = 7, c = 8, n = 1: No, that doesn't work
a = 5, b = 7, c = 8, n = 2: No, that doesn't work
a = 5, b = 7, c = 8, n = 3: No, that doesn't work
a = 5, b = 7, c = 8, n = 4: No, that doesn't work
a = 5, b = 7, c = 9, n = 0: No, that doesn't work
a = 5, b = 7, c = 9, n = 1: No, that doesn't work
a = 5, b = 7, c = 9, n = 2: No, that doesn't work
a = 5, b = 7, c = 9, n = 3: No, that doesn't work
a = 5, b = 7, c = 9, n = 4: No, that doesn't work
a = 5, b = 8, c = 8, n = 0: No, that doesn't work
a = 5, b = 8, c = 8, n = 1: No, that doesn't work
a = 5, b = 8, c = 8, n = 2: No, that doesn't work
a = 5, b = 8, c = 8, n = 3: No, that doesn't work
a = 5, b = 8, c = 8, n = 4: No, that doesn't work
a = 5, b = 8, c = 9, n = 0: No, that doesn't work
a = 5, b = 8, c = 9, n = 1: No, that doesn't work
a = 5, b = 8, c = 9, n = 2: No, that doesn't work
a = 5, b = 8, c = 9, n = 3: No, that doesn't work
a = 5, b = 8, c = 9, n = 4: No, that doesn't work
a = 5, b = 9, c = 9, n = 0: No, that doesn't work
a = 5, b = 9, c = 9, n = 1: No, that doesn't work
a = 5, b = 9, c = 9, n = 2: No, that doesn't work
a = 5, b = 9, c = 9, n = 3: No, that doesn't work
a = 5, b = 9, c = 9, n = 4: No, that doesn't work
a = 6, b = 6, c = 6, n = 0: No, that doesn't work
a = 6, b = 6, c = 6, n = 1: No, that doesn't work
a = 6, b = 6, c = 6, n = 2: No, that doesn't work
a = 6, b = 6, c = 6, n = 3: No, that doesn't work
a = 6, b = 6, c = 6, n = 4: No, that doesn't work
a = 6, b = 6, c = 7, n = 0: No, that doesn't work
a = 6, b = 6, c = 7, n = 1: No, that doesn't work
a = 6, b = 6, c = 7, n = 2: No, that doesn't work
a = 6, b = 6, c = 7, n = 3: No, that doesn't work
a = 6, b = 6, c = 7, n = 4: No, that doesn't work
a = 6, b = 6, c = 8, n = 0: No, that doesn't work
a = 6, b = 6, c = 8, n = 1: No, that doesn't work
a = 6, b = 6, c = 8, n = 2: No, that doesn't work
a = 6, b = 6, c = 8, n = 3: No, that doesn't work
a = 6, b = 6, c = 8, n = 4: No, that doesn't work
a = 6, b = 6, c = 9, n = 0: No, that doesn't work
a = 6, b = 6, c = 9, n = 1: No, that doesn't work
a = 6, b = 6, c = 9, n = 2: No, that doesn't work
a = 6, b = 6, c = 9, n = 3: No, that doesn't work
a = 6, b = 6, c = 9, n = 4: No, that doesn't work
a = 6, b = 7, c = 7, n = 0: No, that doesn't work
a = 6, b = 7, c = 7, n = 1: No, that doesn't work
a = 6, b = 7, c = 7, n = 2: No, that doesn't work
a = 6, b = 7, c = 7, n = 3: No, that doesn't work
a = 6, b = 7, c = 7, n = 4: No, that doesn't work
a = 6, b = 7, c = 8, n = 0: No, that doesn't work
a = 6, b = 7, c = 8, n = 1: No, that doesn't work
a = 6, b = 7, c = 8, n = 2: No, that doesn't work
a = 6, b = 7, c = 8, n = 3: No, that doesn't work
a = 6, b = 7, c = 8, n = 4: No, that doesn't work
a = 6, b = 7, c = 9, n = 0: No, that doesn't work
a = 6, b = 7, c = 9, n = 1: No, that doesn't work
a = 6, b = 7, c = 9, n = 2: No, that doesn't work
a = 6, b = 7, c = 9, n = 3: No, that doesn't work
a = 6, b = 7, c = 9, n = 4: No, that doesn't work
a = 6, b = 8, c = 8, n = 0: No, that doesn't work
a = 6, b = 8, c = 8, n = 1: No, that doesn't work
a = 6, b = 8, c = 8, n = 2: No, that doesn't work
a = 6, b = 8, c = 8, n = 3: No, that doesn't work
a = 6, b = 8, c = 8, n = 4: No, that doesn't work
a = 6, b = 8, c = 9, n = 0: No, that doesn't work
a = 6, b = 8, c = 9, n = 1: No, that doesn't work
a = 6, b = 8, c = 9, n = 2: No, that doesn't work
a = 6, b = 8, c = 9, n = 3: No, that doesn't work
a = 6, b = 8, c = 9, n = 4: No, that doesn't work
a = 6, b = 9, c = 9, n = 0: No, that doesn't work
a = 6, b = 9, c = 9, n = 1: No, that doesn't work
a = 6, b = 9, c = 9, n = 2: No, that doesn't work
a = 6, b = 9, c = 9, n = 3: No, that doesn't work
a = 6, b = 9, c = 9, n = 4: No, that doesn't work
a = 7, b = 7, c = 7, n = 0: No, that doesn't work
a = 7, b = 7, c = 7, n = 1: No, that doesn't work
a = 7, b = 7, c = 7, n = 2: No, that doesn't work
a = 7, b = 7, c = 7, n = 3: No, that doesn't work
a = 7, b = 7, c = 7, n = 4: No, that doesn't work
a = 7, b = 7, c = 8, n = 0: No, that doesn't work
a = 7, b = 7, c = 8, n = 1: No, that doesn't work
a = 7, b = 7, c = 8, n = 2: No, that doesn't work
a = 7, b = 7, c = 8, n = 3: No, that doesn't work
a = 7, b = 7, c = 8, n = 4: No, that doesn't work
a = 7, b = 7, c = 9, n = 0: No, that doesn't work
a = 7, b = 7, c = 9, n = 1: No, that doesn't work
a = 7, b = 7, c = 9, n = 2: No, that doesn't work
a = 7, b = 7, c = 9, n = 3: No, that doesn't work
a = 7, b = 7, c = 9, n = 4: No, that doesn't work
a = 7, b = 8, c = 8, n = 0: No, that doesn't work
a = 7, b = 8, c = 8, n = 1: No, that doesn't work
a = 7, b = 8, c = 8, n = 2: No, that doesn't work
a = 7, b = 8, c = 8, n = 3: No, that doesn't work
a = 7, b = 8, c = 8, n = 4: No, that doesn't work
a = 7, b = 8, c = 9, n = 0: No, that doesn't work
a = 7, b = 8, c = 9, n = 1: No, that doesn't work
a = 7, b = 8, c = 9, n = 2: No, that doesn't work
a = 7, b = 8, c = 9, n = 3: No, that doesn't work
a = 7, b = 8, c = 9, n = 4: No, that doesn't work
a = 7, b = 9, c = 9, n = 0: No, that doesn't work
a = 7, b = 9, c = 9, n = 1: No, that doesn't work
a = 7, b = 9, c = 9, n = 2: No, that doesn't work
a = 7, b = 9, c = 9, n = 3: No, that doesn't work
a = 7, b = 9, c = 9, n = 4: No, that doesn't work
a = 8, b = 8, c = 8, n = 0: No, that doesn't work
a = 8, b = 8, c = 8, n = 1: No, that doesn't work
a = 8, b = 8, c = 8, n = 2: No, that doesn't work
a = 8, b = 8, c = 8, n = 3: No, that doesn't work
a = 8, b = 8, c = 8, n = 4: No, that doesn't work
a = 8, b = 8, c = 9, n = 0: No, that doesn't work
a = 8, b = 8, c = 9, n = 1: No, that doesn't work
a = 8, b = 8, c = 9, n = 2: No, that doesn't work
a = 8, b = 8, c = 9, n = 3: No, that doesn't work
a = 8, b = 8, c = 9, n = 4: No, that doesn't work
a = 8, b = 9, c = 9, n = 0: No, that doesn't work
a = 8, b = 9, c = 9, n = 1: No, that doesn't work
a = 8, b = 9, c = 9, n = 2: No, that doesn't work
a = 8, b = 9, c = 9, n = 3: No, that doesn't work
a = 8, b = 9, c = 9, n = 4: No, that doesn't work
a = 9, b = 9, c = 9, n = 0: No, that doesn't work
a = 9, b = 9, c = 9, n = 1: No, that doesn't work
a = 9, b = 9, c = 9, n = 2: No, that doesn't work
a = 9, b = 9, c = 9, n = 3: No, that doesn't work
a = 9, b = 9, c = 9, n = 4: No, that doesn't work
Enter a: 5
Enter b: 6
Enter c: 7
Enter n: 5
No, that doesn't work
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