
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
Crystal has a running course for her daily run marked in various segments. She starts by heading due north for 2 miles. She then heads northeast for 1 mile and southeast for 1 mile. Then she takes a run due west for 1 mile before heading back on a straight line to the start. Find the distance of the last portion of her run.

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