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M2690
M2690
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Kvant 2022
Problems
(1)
Candies of various types
Source: Kvant Magazine No. 3 2022 M2690
3/8/2023
Vasya has
n
n{}
n
candies of several types, where
n
>
145
n>145
n
>
145
. It is known that for any group of at least 145 candies, there is a type of candy which appears exactly 10 times. Find the largest possible value of
n
n{}
n
.Proposed by A. Antropov
combinatorics
Kvant