
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 and B jointly have 5000 K. A invested their money at an interest rate of \( x \% \), while B invested at an interest rate of \( x + 1 \% \). After one year, A received 2100 K including principal and interest, and B received 3180 K including principal and interest. How much money did each initially have?

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