
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 that line l is a common tangent line of curve C1: y=x^{2} and curve C2: y=ln x, x∈(0,1), if the point of tangency between line l and curve C1 is P, determine the horizontal coordinate t of point P.

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