
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
Given that  $a_1, a_2, a_3, . . . , a_{99}$  is a permutation of  $1, 2, 3, . . . , 99,$  find the maximum possible value of  $$ |a_1 - 1| + |a_2 - 2| + |a_3 - 3| + \dots + |a_{99} - 99|. $$  

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