
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
In a Cartesian coordinate system where the non-negative half of the x-axis is the polar axis, the polar equation of curve $l_1$ is $$\rho \sin(\theta - \frac{\pi}{4}) = \frac{\sqrt{2}}{2}$$ ($\rho > 0$, $0 \leq \theta \leq 2\pi$), and the parametric equation of line $l_2$ is $$\begin{cases} x = 1 - 2t \\ y = 2t + 2 \end{cases}$$ (where $t$ is the parameter). Then, the rectangular coordinates of the point of intersection $A$ between $l_1$ and $l_2$ are ______.

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