
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
Anna randomly picked five integers from the following list:
$$
53, 62, 66, 68, 71, 82, 89
$$
and discovered that the average value of the five integers she picked is an integer. If two of the integers she picked were 62 and 89, find the sum of the remaining three integers.

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