
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

Marek is playing with a calculator. He wrote down a number on paper. He entered it into the calculator and then pressed the following buttons sequentially: plus, four, divided by, four, minus, four, times, four. He wrote the result on paper. Then, with this number, he proceeded in the same way as with the previous one: plus, four, divided by, four, minus, four, times, four. He wrote the result on paper again. He repeated the entire procedure with this newly obtained number and wrote the result on paper once more. He then found out that the sum of the four numbers written on paper is 80. What were the numbers and in what order did Marek write them on paper?

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