
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, after looking at the handful, decides who will get it. This continues until one of them has received nine handfuls, after which the other takes all the remaining coins (the division could also end if all the coins are distributed before anyone gets nine handfuls). Hapok can grab any number of coins per handful. What is the maximum number of coins he can guarantee himself regardless of Glazok's actions?

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