
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
Natural numbers $1, 2, 3, \cdots, 2014, 2015, 2016$ are arranged in a circle in clockwise order.
Starting from number 1, we perform the following operations in clockwise order.

Step 1: Cross out 1 and keep 2.

Step 2: Cross out 3 and 4, and keep 5.

Step 3: Cross out 6, 7, and 8, and keep 9.

Step 4: Cross out 10, 11, 12, and 13, and keep 14;

and so on: in the nth step, first cross out n numbers, then keep 1 number. Repeat these operations until all numbers are crossed out.

What is the last number to be crossed out?

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