
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
Buy peaches, plums, and olives totaling 100 pieces with 100 copper coins, knowing that each peach and plum costs 3 and 4 copper coins respectively, while 7 olives cost 1 copper coin. How many of each fruit are bought?

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