
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
Brennan chooses a set  $A = \{a, b,c, d, e \}$  of five real numbers with  $a \leq  b \leq c \leq d \leq e.$  Delaney determines the subsets of  $A$  containing three numbers and adds up the numbers in these subsets. She obtains the sums  $0, 3; 4, 8; 9, 10, 11, 12, 14, 19.$  What are the five numbers in Brennan's set?

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