
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
Two ladies made purchases amounting together to less than five shillings at a shop where no change was given. Each required exactly six current coins to pay for her own purchases. When they decided to pay their bills together, they still required exactly six coins in total. What is the smallest possible amount of their different purchases?

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