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IMSO 2017 — Mathematics — Exploration Question 6

IMSO Maths · IMSO 2017 — Mathematics — Exploration

Question 6

The Battleship game is played on a $10\times10$ board, with one $1\times4$ battleship, two $1\times3$ cruisers, three $1\times2$ destroyers and four $1\times1$ submarines. The ships are placed on the board so that no two ships share common sides or common vertices. However, the ships may touch the edges of the board. On the board provided in the answer sheet, shade a possible position of two $1\times3$ cruisers, three $1\times2$ destroyers and four $1\times1$ submarines on the board such that a $1\times4$ battleship cannot be fitted onto the board.

Question illustration

Question illustration