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Ecuador Juniors
2018 Ecuador Juniors
2
2
Part of
2018 Ecuador Juniors
Problems
(1)
bw cells in 30x30 board
Source: 2018 Ecuador Juniors (OMEC) L2 p2
10/25/2022
Danielle divides a
30
×
30
30 \times30
30
×
30
board into
100
100
100
regions that are
3
×
3
3 \times 3
3
×
3
squares squares each and then paint some squares black and the rest white. Then to each region assigns it the color that has the most squares painted with that color. a) If there are more black regions than white, what is the minimum number
N
N
N
of cells that Danielle can paint black? b) In how many ways can Danielle paint the board if there are more black regions than white and she uses the minimum number
N
N
N
of black squares?
combinatorics
Coloring