
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
Thirty-three warriors were hired to guard Lukomorye for 240 coins. The cunning uncle Chernomor can divide the warriors into squads of arbitrary size (or enroll all into one squad) and then distribute the entire salary among the squads. Each squad divides its coins equally, and any remainder is given to Chernomor. What is the maximum number of coins that Chernomor can get if:

a) Chernomor distributes the salary among the squads as he pleases

b) Chernomor distributes the salary among the squads equally?

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