
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
Grandma Marge puts aside some coins in her piggy bank for her grandchild Barabás every lottery draw. She follows these precise rules:

1) Only coins are put aside.
2) For each drawn number, she adds an amount corresponding to that number into the piggy bank, ensuring that she uses the smallest number of coins.
3) After each draw, she notes down how many of each coin she put in the piggy bank.

After one such draw, where 7 numbers were drawn from the first 35 positive integers, she noted that she put $3 \mathrm{pcs} \, 20$, $6 \mathrm{pcs} \, 10$, $5 \mathrm{pcs} \, 5$, $9 \mathrm{pcs} \, 2$ and $3 \mathrm{pcs} \, 1$ forint coins into the piggy bank. What were the drawn numbers?

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