
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
In square \(ABCD\), \(M\) is the midpoint of \(BC\). If \(\overrightarrow{AC} = \lambda \overrightarrow{AM} + \mu \overrightarrow{BD}\), find \(\lambda + \mu\).

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