Catch the Thief
There is a thief T and a detective D, and a whole lot of stolen money (represented by the 23 gold coins). To catch the thief, the detective can move from one square to a square next to it either vertically, horizontally, or diagonally. To catch the thief, he has to end up on the same square as the thief. The thief does not move.
There is a reward for the detective. Each time the detective enters a square, if there is a coin there, the detective picks it up, but if there is no coin there the detective has to put a coin back down. As a reward, the detective gets to keep the money that he has collected.
See how large a reward you can get.
There is a reward for the detective. Each time the detective enters a square, if there is a coin there, the detective picks it up, but if there is no coin there the detective has to put a coin back down. As a reward, the detective gets to keep the money that he has collected.
See how large a reward you can get.
Catch the Crooked Thief
There is a thief and a detective as shown in the previous puzzle. To catch the thief, the detective can move from one square to a square next to it either vertically, horizontally, or diagonally. However, this time the detective must change his direction every time he moves. For example, if the detective has just moved diagonally north-east, then his next move cannot be diagonally north-east.
As before, the thief does not move, and the detective catches the thief by ending up on the same square as the thief. Again, there is a reward for the detective. Each time the detective enters a square, if there is a coin there, the detective picks it up, but if there is no coin there the detective has to put a coin back down. As a reward, the detective gets to keep the money that he has collected.
See how large a reward you can get.
As before, the thief does not move, and the detective catches the thief by ending up on the same square as the thief. Again, there is a reward for the detective. Each time the detective enters a square, if there is a coin there, the detective picks it up, but if there is no coin there the detective has to put a coin back down. As a reward, the detective gets to keep the money that he has collected.
See how large a reward you can get.