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Problem H
Associative Exponents
The Association for Curtailing Parentheses in Computations is having some trouble. Some members learned in class that $a^{b^ c} = a^{(b^ c)}$, but others insist that ${a^ b}^ c = {(a^ b)}^ c$. You are trying to keep the peace by assuring them that it works either way, but you just noticed that ${(2^3)}^2 = 64 \neq 512 = 2^{(3^2)}$. Can you write a program to help the association members focus on what they can all agree on?
Input
Input consists of three space-separated integers $1 \leq a, b, c \leq 2 \cdot 10^6$ on a single line.
Output
If $a^{(b^ c)} = {(a^ b)}^ c$, output “What an excellent example!” and if $a^{(b^ c)} \neq {(a^ b)}^ c$ output “Oh look, a squirrel!”
| Sample Input 1 | Sample Output 1 |
|---|---|
2 3 2 |
Oh look, a squirrel! |
| Sample Input 2 | Sample Output 2 |
|---|---|
1 1 1 |
What an excellent example! |
