
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
Pete bought a computational machine in a store, which multiplies any input number by 3 for 5 coins, and adds 4 to any number for 2 coins. Pete wants to start with the number one, which can be entered for free, and use the machine to obtain the number 1981, spending the least amount of money. How much will his calculations cost? And what if he wants to obtain the number 1982?

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