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For all non-negative integers $x$ and $y, f(x, y)$ is defined as below

• $f(0, y) = y + 1$
• $f(x + 1, 0) = f(x, 1)$
• $f(x + 1,y + 1) = f(x, f(x + 1, y))$

Then, what is the value of $f(1, 2)?$

1. Two
2. Four
3. Three
4. Cannot be determined

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