
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
Write the decomposition of vector \( x \) in terms of vectors \( p, q, r \):

\[ x = \{ 3, -3, 4 \} \]

\[ p = \{ 1, 0, 2 \} \]

\[ q = \{ 0, 1, 1 \} \]

\[ r = \{ 2, -1, 4 \} \]

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