An invisible tank is on a $100 \times 100 $ table. A cannon can fire at any $60$ cells of the board after that the tank will move to one of the adjacent cells (by side). Then the progress is repeated. Can the cannon grantee to shoot the tank?
Source: 239 2017 J4
Tags: combinatorics
An invisible tank is on a $100 \times 100 $ table. A cannon can fire at any $60$ cells of the board after that the tank will move to one of the adjacent cells (by side). Then the progress is repeated. Can the cannon grantee to shoot the tank?