2

Part of 2018 May Olympiad

Problems(2)

max last number , 1-16 in 4x4 board May Olympiad (Olimpiada de Mayo) 2018 L2 P2

Source:

4\times 4

the numbers from

1

16

are written, one in each box. Andres and Pablo choose four numbers each. Andrés chooses the biggest of each row and Pablo, the biggest of each column. The same number can be chosen by both. Then they are removed from the board all chosen numbers. What is the greatest value that the sum of the numbers can have what are left on the board?

gamecombinatorics

max remainder when 2018 is divided by 1-1000 , 2018 May Olympiad L1 p2

Source:

A thousand integer divisions are made:

2018

is divided by each of the integers from

1

1000

. Thus, a thousand integer quotients are obtained with their respective remainders. Which of these thousand remainders is the bigger?

number theoryremainder