MathDB
Battleship revisited with 3 colors in n x 4 board

Source: V- Rioplatense 1996 L3 P5

September 19, 2022
geometrycombinatoricscombinatorial geometrygame strategygame

Problem Statement

There is a board with nn rows and 44 columns, and white, yellow and light blue chips. Player AA places four tokens on the first row of the board and covers them so Player BB doesn't know them. How should player BB do to fill the minimum number of rows with chips that will ensure that in any of the rows he will have at least three hits?
Clarification: A hit by player BB occurs when he places a token of the same color and in the same column as AA.