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Omni-MATH / Mrs. Toad has a class of 2017 students, with unhappiness levels 1,2,…,2017 respectively. Today in class, there is a group project and Mrs. Toad wants to split the class in exactly …

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problem

Mrs. Toad has a class of 2017 students, with unhappiness levels 1,2,…,20171,2, \ldots, 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?
Plain-text mathematical notation (without MathML)
Mrs. Toad has a class of 2017 students, with unhappiness levels 1,2,…,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?
Original LaTeX notation
Mrs. Toad has a class of 2017 students, with unhappiness levels $1,2, \ldots, 2017$ 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?

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Source and history

task_id
ed8f2bab-b5ed-5495-a731-6929907f510d
task_key
test--ed8f2bab-b5ed-5495-a731-6929907f510d
task_revision_id
1
config / split
/ test

Official source

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