
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
a) There is a chain with 60 links, each weighing 1 g. What is the minimum number of links that need to be separated so that the resulting parts can be used to measure every weight from 1 g, 2 g, 3 g, up to 60 g (each separated link also weighs 1 g)?

b) The same question for a chain with 150 links.

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