MathDB

We will say that a list of positive integers is admissible if all its numbers are less than or equal to

100

and their sum is greater than

1810

. Find the smallest positive integer

d

such that each admissible list can be crossed out some numbers such that the sum of the numbers left uncrossed out is greater than or equal to

1810-d

and less than or equal to

1810+d

Problem Statement