
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
A sequence of numbers is arranged in a row, following this pattern: the first two numbers are both 1, and starting from the third number, each number is the sum of the previous two numbers, that is, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ... . The question is: among the first 100 numbers in this sequence (including the 100th number), how many are even?

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