
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 the parametric equation of line $l$ as $\begin{cases} x={-}1{+}\frac{\sqrt{2}}{2}t \\ y=\frac{\sqrt{2}}{2}t \end{cases} (t \text{ is the parameter})$, and the polar coordinate equation of curve $C$ as $\rho\cos^{2}\theta=\sin\theta$. Establish a rectangular coordinate system with the pole as the origin and the polar axis as the positive direction of the $x$-axis. Point $M({-}1{,}0)$, and line $l$ intersects curve $C$ at points $A$ and $B$.

(1) Write the polar coordinate equation of line $l$ and the general form equation of curve $C$.

(2) Denote the lengths of segments ${MA}$ and ${MB}$ as ${|}MA{|}$ and ${|}MB{|}$, respectively. Calculate the value of ${|}MA{|}{\cdot}{|}MB{|}$.

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