
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
A store is offering an installment payment plan for a new model of a phone, with two options to choose from.

Option 1: Pay 800 yuan in the first month, and then 200 yuan each month thereafter.

Option 2: Pay 350 yuan each month for the first half of the period, and 150 yuan each month for the second half of the period.

The total cost and the time to pay off the phone are the same for both options. Determine the price of the phone.

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