
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 the array $(a_1, a_2, a_3, a_4, a_5)$ is a permutation of the five numbers 1, 2, 3, 4, 5, such as the array $(1, 4, 3, 5, 2)$ is a permutation that meets the requirements. It is stipulated that each permutation corresponds to only one array, and in each array, there is exactly one number such that $a_i = i$ (where $i = 1, 2, 3, 4, 5$). Then, the sum of the numbers in all different arrays is.

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