
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 that the total points scored by player A over four rounds formed an increasing quadratic sequence, and the total points scored by player B formed an increasing arithmetic sequence, and the tournament ended in a tie, with no player scoring more than 25 points in total, find the combined points of both players in the first two rounds.

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