
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 line, and its pattern is as follows: the first two numbers are both 1. From the third number onward, each number is the sum of the previous two numbers: $1, 1, 2, 3, 5, 8, 13, 21, 34, 55$. How many even numbers are there among the first 100 numbers in this sequence (including the 100th number)?

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