
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
The grasshopper can only jump exactly 50 cm. It wants to visit 8 points marked on a grid (the side of each cell is 10 cm). What is the minimum number of jumps it has to make? (It is allowed to visit other points on the plane, including non-grid points. The starting and ending points can be any of these points.)

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