
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 children \( A \), \( B \), \( C \), \( D \), and \( E \) participate in the "Happy Pinyin Reading" competition. When they come to the stage, they stand in a line. Each has a player number tag on their chest, and the sum of the 5 player numbers is 35. It is known that the sum of the numbers of the players standing to the right of \( E \), \( D \), \( A \), and \( C \) are 13, 31, 21, and 7 respectively. What is the sum of the player numbers for \( A \), \( C \), and \( E \)?

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