
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
For the parabola $C: y^2 = 4x$, we say that points satisfying $y^2 < 4x$ are inside the parabola. If point $M(x, y_o)$ is inside $C$, then the line $l: yy_o = 2(x + x_o)$ and the parabola $C$ have $\boxed{0}$ common points.

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