
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
There are 9 boxes arranged in a row on a table, and there is a bucket with an ample supply of small balls. Player A and player B take turns playing a game, with player A going first. Player A takes 25 small balls each turn and distributes them among any number of boxes. Player B can then take all the balls from any two consecutive boxes and return them to the bucket, then place the boxes back in their original positions. Player A can end the game at any time and select a box, with the number of balls in that box being A's score. Player B tries to prevent A from achieving a high score. What is the maximum score player A can achieve?

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