
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 lines $l_1: 4x-3y+16=0$ and $l_2: x=-1$, on the parabola $y^2=4x$, a moving point $P$ has a distance $d_1$ to the line $l_1$ and a distance $d_2$ to the line $l_2$. Find the minimum value of $d_1+d_2$.

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