
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
Dots are spaced one unit apart, both horizontally and vertically. What is the number of square units enclosed by the following polygon?
[asy]
size(1inch,1inch);
pair a=(0,0), b=(10,0), c=(20,0), d=(30, 0), e=(40,0);
pair f=(0,10), g=(10,10), h=(20,10), i=(30,10), j=(40,10);
pair k=(0,20), l=(10,20), m=(20,20), n=(30,20), o=(40,20);
pair p=(0,30), q=(10,30), r=(20,30), s=(30,30), t=(40,30);
pair u=(0,40), v=(10,40), w=(20,40), x=(30,40), y=(40,40);
dot(a); dot(b); dot(c); dot(d); dot(e);
dot(f); dot(g); dot(h); dot(i); dot(j);
dot(k); dot(l); dot(m); dot(n); dot(o);
dot(p); dot(q); dot(r); dot(s); dot(t);
dot(u); dot(v); dot(w); dot(x); dot(y);
draw(a--b--h--c--d--i--s--r--w--v--u--f--a);
[/asy]

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