
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
Using the trace method, find the first characteristic number of the kernel

$$
K(x, t)=\left\{\begin{array}{ll}
t, & x \geqslant t, \\
x, & x \leqslant t,
\end{array} \quad a=0, b=1\right.
$$

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