
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
Eight women of different heights are at a conference. Their heights in centimeters are 150, 155, 160, 165, 170, 175, 180, and 185. Each woman decides to only shake hands with women whose height difference is 10 centimeters or less. How many handshakes take place?

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