
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
Maruška received a magical pouch from her grandmother, which doubled the amount of gold coins it contained every midnight. On Monday at noon, Maruška placed some gold coins into the empty pouch. On Tuesday and Wednesday, she took out 40 gold coins from the pouch each day and did not add any coins back in. On Thursday, she again took out 40 gold coins, and the pouch was empty.

How many gold coins did Maruška place into the pouch on Monday?

How many gold coins should she have placed into the empty pouch so that she could withdraw 40 gold coins every day, without adding any coins back in, and such that the amount of gold coins in the pouch was the same before each withdrawal?

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