
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
Consider the Fibonacci sequence \(1, 1, 2, 3, 5, 8, 13, 21, \ldots\) starting with two 1s, and each term afterwards is the sum of its two predecessors. Find the last of the digits 0, 1, 2, 3, 4 to appear in the units position of a number in this modified Fibonacci sequence.

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