
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 modified factor tree, each value is the product of the two values below it, unless it is already a prime number. Determine the value of \( P \) at the top of the factor tree shown here:

[asy]
draw((-2,-0.3)--(0,0)--(2,-0.3),linewidth(1));
draw((-3,-1.3)--(-2,-0.8)--(-1,-1.3), linewidth(1));
draw((1,-1.3)--(2,-0.8)--(3,-1.3), linewidth(1));
label("P", (0,0), N);
label("X", (-2,-0.8), N);
label("7", (-3,-1.3), S);
label("Y", (2,-0.8), N);
label("G", (-1,-1.3), S);
label("11", (1,-1.3), S);
label("Z", (3,-1.3), S);
draw((-2,-2.3)--(-1,-1.8)--(0,-2.3), linewidth(1));
draw((2,-2.3)--(3,-1.8)--(4,-2.3), linewidth(1));
label("7", (-2,-2.3), S);
label("4", (0,-2.3), S);
label("11", (2,-2.3), S);
label("4", (4,-2.3), S);
[/asy]

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