
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
Five contestants $A, B, C, D, E$ participate in a "Voice" competition, and they stand in a row for a group appearance. Each contestant has a number badge on their chest, the sum of the five numbers is 35. It is known that the sum of the numbers of the contestants standing to the right of $\mathrm{E}$ is 13; the sum of the numbers of the contestants standing to the right of $D$ is 31; the sum of the numbers of the contestants standing to the right of $A$ is 21; and the sum of the numbers of the contestants standing to the right of $C$ is 7. What is the sum of the numbers of the contestants at the far left and the far right?

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