
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
459. Dice Flipping. For this game, you need a single die. The first player calls out any number from 1 to 6, and the second player rolls the die. Then, they take turns flipping the die in any direction, but by no more than a quarter turn at a time. The points called out by the first player are added to the points shown on the top face of the die after each roll and turn. The player wins if they manage to reach a total of 25 points on their turn or force the opponent to exceed 25 points on their next turn.

What number should \(A\) call out to have the best chance of winning? Note that numbers on opposite faces of the die always add up to 7, i.e., they are paired as \(1-6\), \(2-5\), \(3-4\).

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