
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
On July 11th at 12 noon, the declination of the sun is $22^{\circ} 4^{\prime}$. On which points of Earth does the sun not set on this day? Determine the length of the shadow cast by a 1-meter long rod at 12 noon at a location with a latitude of $36^{\circ} 22^{\prime}$.

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