
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
Let  $M$  and  $N$  , respectively, be the points of the sides  $[AB]$  and  $[BC]$  of a rectangle  $ABCD$  . Let  $a,b,c$  be the area of the triangle  $AMD,MBN, NCD$  respectively. Express in terms of  $a,b$  and  $c$  , the area of the triangle  $DMN$  .

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