
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
$P$ is a point located at the origin of the coordinate plane. When a die is thrown and the number $n$ shown is even, $P$ moves to the right by $n$. If $n$ is odd, $P$ moves upward by $n$. Find the value of $d$, the total number of tossing sequences for $P$ to move to the point $(4,4)$.

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