
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
Given a sequence $\{a_n\}$ where $a_n=n$ ($n\in\mathbb{N}^*$), arrange its terms sequentially into a triangle shape as shown on the right:
- Row 1: $a_1$
- Row 2: $a_2$, $a_3$, $a_4$
- Row 3: $a_5$, $a_6$, $a_7$, $a_8$, $a_9$
- ...
(The first row has one term, the second row has three terms, the third row has five terms, and so on, with each row having two more terms than the previous one.) If $a_{2009}$ is located in the $s$-th row and the $t$-th position (from left to right), then $s=$____, $t=$____.

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