
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
Mrs. Toad has a class of  $2017$  students, with unhappiness levels  $1, 2, \dots, 2017$  respectively. Today in class, there is a group project and Mrs. Toad wants to split the class in exactly  $15$  groups. The unhappiness level of a group is the average unhappiness of its members, and the unhappiness of the class is the sum of the unhappiness of all  $15$  groups. What's the minimum unhappiness of the class Mrs. Toad can achieve by splitting the class into  $15$  groups?

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