
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 the "Good Voice" competition, and they stand in a line for a group appearance. Each of them has a contestant 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 $E$ 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 standing at the far left and far right $\qquad$?

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