
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 the polar equation of curve $C_{1}$ is $\rho=1$, in the Cartesian coordinate system with the pole $O$ as the origin and the positive half-axis of the polar axis as the $x$-axis, by stretching all the $x$-coordinates of the points on curve $C_{1}$ by 3 times, we obtain curve $C_{2}$.  
(Ⅰ) Find the parametric equation of curve $C_{2}$.  
(Ⅱ) A line $l$ passes through point $M(1,0)$ with an inclination angle of $\dfrac{\pi}{4}$, and intersects curve $C_{2}$ at points $A$ and $B$. Calculate the value of $|MA|\cdot|MB|$.

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