
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
In the sequence of positive integers, starting from 1, the terms are selected according to the following rule: the first time, take 1; the second time, take 2 consecutive even numbers 2 and 4; the third time, take 3 consecutive odd numbers 5, 7, and 9; the fourth time, take 4 consecutive even numbers 10, 12, 14, and 16; the fifth time, take 5 consecutive odd numbers 17, 19, 21, 23, and 25. Continue this pattern to obtain a subsequence 1, 2, 4, 5, 7, 9, 10, 12, 14, 16, 17, …. In this subsequence, the 15th number starting from 1 is _______, and the 2014th number is _______.

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