
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
A creative contest at the institute consisted of four tasks. There were 70 applicants in total. 35 applicants successfully completed the first task, 48 completed the second task, 64 completed the third task, and 63 completed the fourth task. No one completed all four tasks. Applicants who passed both the third and fourth tasks were admitted to the institute. How many applicants were admitted?

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