
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
Robbers Hapok and Glazok are dividing a pile of 100 coins. Hapok grabs a handful of coins from the pile, and Glazok, looking at the handful, decides who gets the handful. This continues until one of them receives nine handfuls, after which the other takes all the remaining coins (the division can also end if the coins are divided before someone receives nine handfuls). Hapok can take any number of coins in his handful. What is the maximum number of coins he can guarantee for himself regardless of Glazok's actions?

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