Minimum

Algebra Level 3

Let S = ∣ n − 1 ∣ + 2 ∣ n − 2 ∣ + 3 ∣ n − 3 ∣ + ⋯ + 20 ∣ n − 20 ∣ S=|n-1|+2|n-2|+3|n-3|+\cdots+20|n-20| , where n n is a positive integer. Find the minimum possible value of S S .


The answer is 840.

Dexter Woo Teng Koon by Dexter Woo Teng Koon , 20, Malaysia

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