
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 sequence of natural numbers

$$
\left\{f_{n}\right\}: 1,1,2,3,5,8,13,21,34,55, \ldots
$$

where

$$
f_{1}=f_{2}=1 \quad \text{and} \quad f_{n}=f_{n-1}+f_{n-2} \quad \text{for} \quad n>2,
$$

is called the Fibonacci sequence. It is one of the most well-known sequences in mathematics. Our task is fairly simple: how many terms of the Fibonacci sequence are less than or equal to a given natural number \( N \)?

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