
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
Two periodic functions $y_{1}$ and $y_{2}$ have minimum positive periods $a$ and $b$, respectively, with $b = n \cdot a$ where $n \geq 2$ and $n \in \mathbf{N}$. If the function $y = y_{1} + y_{2}$ has a minimum positive period $t$, then which of the following five cases could occur:

(1) $t < a$
(2) $t = a$
(3) $t = b$
(4) $t > b$
(5) $a < t < b$

(Please fill in the serial number).

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