
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 Chinese Remainder Theorem, also known as Sun Tzu's Theorem. In 1852, Alexander Wylie, a British missionary to China, transmitted the approach to a problem from "Sun Tzu Suan Jing" regarding "the number of things unknown" to Europe. In 1874, the British mathematician Matheson pointed out that this method is consistent with a general theorem about solutions of congruences developed by Gauss in 1801, and hence it became known as "Chinese Remainder Theorem" in the West. The Chinese Remainder Theorem deals with a problem related to divisibility, and there is such a divisibility problem: list the numbers from 1 to 2016 that are congruent to 1 modulo 3 and also congruent to 1 modulo 5 in ascending order to form a sequence $\{a_n\}$. The number of terms in this sequence is ______.

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