
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Let $f: A \rightarrow B$ be a mapping from set $A$ to $B$, where $A = B = \{(x, y) | x \in \mathbb{R}, y \in \mathbb{R}\}$, and $f: (x, y) \rightarrow (kx, y + b)$. If the element $(6,2)$ in $B$ corresponds to the element $(3,1)$ under the mapping $f$, then the values of $k$ and $b$ are respectively __________.

Present the answer in LaTex format: \boxed{Your answer}
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