
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
Given $\overrightarrow{e_1}=(2,1)$, $\overrightarrow{e_2}=(1,3)$, and $\overrightarrow{a}=(-1,2)$. If $\overrightarrow{a}= \overrightarrow{\lambda_1 e_1}+ \overrightarrow{\lambda_2 e_2}$, find the pair of real numbers $(\lambda_1,\lambda_2)$.

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