Ravi
· 2019-06-07 18:15
@Jonathan and @Tony,
Happy to help. This particular game is a Guru game, and all possible
game boards can be created before going to the questions.
We know we have 3 folk groups and 3 rock groups. We know there are 2
stages, north and south, and each stage has 3 two-hour performances (N
is 6, 8, and 10, and S is 8, 10, and 12).
N _ _ _ /
S / _ _ _
F
GHL
R
PQT
Rule 1 says P goes at 6 or 12 (P 6 or 12)
Rule 2 says G goes before H (G - H)
Rule 3 says that if a rock group is at 10, then no folk group performs
at 10. We already know P doesn't perform at 10, so this means that if
Q is at 10, then T is at 10, and if T performs at 10, then Q performs
at 10. This means that Q and T are both in 10, or neither Q nor T is
in 10.
Rule 4 says that L and T aren't on the same stages (L and T not on the
same level)
Rule 5 says that Q goes right after a folk group (Q immediately after
G, H, or L)
Now, let's figure out all of the possible game boards.
We can put P in 6 in one and P in 12 in another.
N P _ _ /
S / _ _ _
N _ _ _ /
S / _ _ P
Now, we also know that Q and T are either both in 10, or they're neither in 10
N P _ Q /
S / _ T _
N _ _ Q /
S / _ T P
N P _ _ /
S / _ _ _
N _ _ _ /
S / _ _ P
In the scenarios where Q and T aren't in 10, what can we do? Well, in
the second board, we know we can't but G in 10 because G has to go
before H and there's no room for H after 10. This means H and L are in
10
N _ _ H /
S / _ L P
What can we figure out with the other board?
N P _ _ /
S / _ _ _
We know from our rules that Q comes after G, H, and L, so Q can't go
in 8. It also can't go in 10 because if it did, it'd be the same board
as the one above with Q and T in 10 and P in 6. This means Q is in 12.
N P _ _ /
S / _ _ Q
This means that G has to go in 8 for there to be room for H in 10
N P T H /
S / G L Q
With this board, we know that H and L and T and G can switch with each
other, but we just have to make sure that L and T are always on
different stages, so if we switch H with L, we just have to make sure
T and G are switched to make L and T on different stages.
N P _ Q /
S / _ T _
N _ _ Q /
S / _ T P
N P T H /
S / G L Q
N _ _ H /
S / _ L P
Let's fill out the other 3 boards now
N _ _ H /
S / _ L P
We know Q has to follow G, H, or L, so Q has to go in 8. This means G is in 6.
N G T H /
S / Q L P
N _ _ Q /
S / _ T P
For this board, we know G is before H, so G has to go in 6 and H in 8.
L will also be in 8 on a different stage from T.
N G L Q /
S / H T P
N P _ Q /
S / _ T _
For this board, G has to go in 8 and H in 12 in order to satisfy that
rule. L will also be in 8.
N P L Q /
S / G T H
N G L Q /
S / H T P
N P T H /
S / G L Q
N G T H /
S / Q L P
With these 4 game boards, we can answer all of the questions for this game.
Hope this helps. Let us know if you have any more questions!