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MathNet 2021 — Part 07 Question 32

Math Olympiad Vault · MathNet 2021 — Part 07

Question 32

2021 integers $a_1, a_2, \dots, a_{2021}$ satisfy
$$
a_{n+5} + a_n \gt a_{n+2} + a_{n+3}
$$
for all integers $n = 1, \dots, 2016$. Determine the minimum value of the difference between maximum and minimum of $a_1, a_2, \dots, a_{2021}$.