Problem of the Week
Problem A and Solution
Treasure Map

Problem

Robbie found a treasure map that contains a grid filled with numbers and letters.

The treasure map consists of a six by six grid and a compass rose indicating that North points upward in the grid, East points to the right, South points downward, and West points to the left. An arrow labelled Start points to the square in the top left corner of the grid. The entries in the grid are given in the following table.

10

50

24

19

30

21

17

30

18

A

40

72

B

19

4

72

C

80

1

32

27

D

75

99

E

12

F

60

G

3

71

20

90

5

70

H

The treasure hunt starts in the northwest corner of the map, on the square that contains the number 10. The squares with numbers are used to determine which way to go, using the following rules.

If the number is even and a multiple of 5, then move one square east.

If the number is even, but not a multiple of 5, then move one square south.

If the number is a multiple of 5, but not even, then move one square north.

If the number is neither even nor a multiple of 5, then move one square west.

The squares with letters represent possible locations of the treasure. If Robbie follows the rules, he will follow a path that reaches a square with a letter, which is where the treasure is hidden. Where is the treasure hidden?