Eketahuna is having a party. The party was to be held in his private mansion in the city of Puzzlaria. The city, conveniently, is laid out in a perfect grid. Every house’s address is composed of two positive numbers, indicating its relative position to the Town-hall in the southwest corner. For example, House 3-8 is two houses east of the Town Hall and seven houses north.
Currently Puzzlaria is one hundred by one hundred houses in area, and that includes the Town Hall – 1-1.
Two of his esteemed guests, Cam and Chris, were both given the address weeks in advance. And while both were quick-witted, they also were short memoried.
Only a few hours before the party the following dialog occurred:
Cam: I’m afraid I’ve forgotten the address. I can only remember the product of the two numbers, and that the first number wasn’t greater than the second.
Chris: I’ve forgotten it too, but can only remember the sum of the two numbers, and that neither number was 1.
Cam: I can’t figure out where the party is.
Chris: I knew that.
Cam: OK, I know where the party is.
Chris: OK, so do I.
Cam and Chris were being perfectly truthful, and no other information was exchanged apart from this dialog.
What was the party’s address?