Which one of the following is a possible matching of architects with projects, in order from the first completed to t...

AndreaK on February 18, 2020

Hi @ashwinid,

Here is one possible way to set the game up and make deductions.

The biggest deduction that sticks out to me that would be useful for creating scenarios is with ordering principles. For this tiered ordering game, rules 4 and 5 work together. If H has to be last and F has to come directly before G, we know there are only two possible combinations for the players in this tier:

FGLH
LFGH

From there, I am tempted to look at the rules and see which player(s) is mentioned more than once, and which is/are mentioned the most times. Typically deductions will hide in these combinations of rules. F is mentioned in every rule but one, so I'm going to start there. Because rules 2 and 3 both involve F with W, I'm sensing some deductions will be lurking around there so I'm going to make scenarios around F with or without W. According to rule 2, we know F has to go in either G or W. So if F doesn't have W, then the scenarios representing F without W will have W in G.

FGLH
W___

FGLH
_W__

And

LFGH
_W__

LFGH
__W__

Okay, this is a solid start. Now let's move to another rule containing F to see if more dominos fall. We have two rules that we haven't yet applied containing F, rules 1 and 3. Rule 1 allows us to place Z with L in any scenario we've already placed W with F. Similarly, rule 3 allows us to place H with Y in any scenario we haven't assigned F with W, or in other words, any scenario in which we assigned G with W.

FGLH
W_Z_

FGLH
_W_Y

And

LFGH
ZW_ _

LFGH
_ _WY

From here, we can take stock of our remaining players and put them into the diagrams where they could possibly go. I won’t diagram this part since it might look strange formatted on a screen, but I’ll write out below how it would look added into the above.

We know in the first of the four scenarios above, X and Y can alternate between G and H.
We know in the second of the four scenarios above, X and Z can alternate between F and L.
We know in the third of the four scenarios above, X and Y can alternate between G and H.
We know in the fourth of the four scenarios above, X and Z can alternate between F and L.


Hope this helps!

ashwinid on February 19, 2020

Thanks! I missed the rule 4 and 5 connection. Understand it now.