
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
Fifteen unit cubes are glued together to form a solid as shown. How many square units are in the surface area of the resulting solid?

[asy]
draw((0,0)--(40,0)--(40,10)--(0,10)--cycle);
draw((10,0)--(10,10));
draw((20,0)--(20,10));
draw((30,0)--(30,10));
draw((5,15)--(45,15));
draw((0,10)--(5,15));
draw((10,10)--(15,15));
draw((20,10)--(25,15));
draw((30,10)--(35,15));
draw((45,15)--(45,5)--(40,0));
draw((40,10)--(45,15));
draw((-7,0)--(43,0)--(43,-10)--(-7,-10)--cycle);
draw((-7,0)--(-2,5)--(0,5));
draw((3,-10)--(3,0));
draw((13,-10)--(13,0));
draw((23,-10)--(23,0));
draw((33,-10)--(33,0));
draw((45,5)--(48,5)--(43,0));
draw((48,5)--(48,-5)--(43,-10));
draw((2,-10)--(2,-30)--(42,-30)--(42,-10)--cycle);
draw((12,-10)--(12,-30));
draw((22,-10)--(22,-30));
draw((32,-10)--(32,-30));
draw((42,-30)--(47,-25)--(47,-6));
[/asy]

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