MathDB

C1

Part of 2023-IMOC

Problems(1)

Numbers on cards

Source: IMOC 2023 C1

9/9/2023
There are nn cards on a table in a line, with a positive real written on eachcard. LTF and Sunny are playing a game where they take turns taking away the first or the last card in line. The player that has the bigger sum of all the numberson his cards wins. If LTF goes first, find all nn such that LTF can always prevent Sunny from winning, regardless of the numbers written on the cards.
combinatorics