
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 Zi's Theorem", was introduced to Europe in 1852 by Alexander Wylie, who brought the solution to the "problems with unknown numbers" from the "Sun Zi Suan Jing" to Europe. In 1874, British mathematician James Joseph Sylvester pointed out that this method conformed with the general theorem on congruences by Gauss in 1801, hence it was named the "Chinese Remainder Theorem" in the West. The "Chinese Remainder Theorem" discusses a problem concerning divisibility. Here's such a problem: consider the numbers from 2 to 2018 which, when divided by 2, give a remainder of 1 and when divided by 3, also give a remainder of 1. If these numbers are arranged in ascending order to form the sequence \\(\{a_n\}\\), then the number of terms in this sequence is ______.

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