IMO 2024 Shortlist A2
Let n be a positive integer. Find the minimum possible value of S “ 20 x2 0 21 x2 1 ¨¨¨ 2n x2 n, where x0, x1, ..., xn a...
Category: Algebra
Problem
Let n be a positive integer. Find the minimum possible value of
S “ 20
x2
0 21 x2 1 ¨¨¨ 2n x2 n, where x0, x1, ..., xn are nonnegative integers such that x0 x1 ¨¨¨ xn “ n.
(China)