
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 point $P$ with coordinates $(x, y, z)$, let $r$ be the distance from the origin to point $P$. Define $s = \frac{y}{r}$, $c = \frac{x}{r}$, and $t = \frac{z}{r}$. Determine the possible values of $s^2 + c^2 + t^2$.

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