
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  $ABC$  be a triangle.  $D$  and  $E$  are points on line segments  $BC$  and  $AC$ , respectively, such that  $AD=60$ ,  $BD=189$ ,  $CD=36$ ,  $AE=40$ , and  $CE=50$ . What is  $AB+DE$ ?

*2017 CCA Math Bonanza Tiebreaker Round #2*

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