Analysis of Small Town Motels - Mystery Master
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SmallTownMotels

This five-star logic puzzle is very difficult to solve. It has 6 noun types, 9 nouns per type, 7 links, 67 facts, and 2 rules with triggers. It has 1215 marks, 135 pairs and 15 grids.

Most puzzles have links that have just one noun type. This puzzle has three: Founded (the year a town was founded), John (John's visits), and Alice (Alice's visits).

Before solving this puzzle, please disable assumptions. The program will find 719/1215 marks, 38/135 pairs, and 4 facts still under investigation.

Let's take a look at the marks entered using SmartRules (rules 1 and 2).

  1. I submit 'O' for Upper and 3A. Rule 2c on mark 385, Only one noun in list2 is available for noun1.
  2. I submit 'O' for 1923 and Cleanwater. Rule 2c on mark 443, Only one noun in list2 is available for noun1.
  3. I submit 'O' for Alabama and 8J. Rule 2c on mark 443, Only one noun in list1 is available for noun2.
  4. I submit 'O' for 1889 and Delaware. Rule 1d on mark 644, Only one noun in list1 is available for noun2.

Here are the facts still left to examine.

  1. The town in Delaware was visited by Alice three weeks after the town founded in 1902 (clue 11).
  2. First street was visited by Alice after Newtown (clue 14).
  3. Main street was visited by John three weeks after Iowa (clue 16).
  4. Iowa was twice Alice's visit number to Water (clue 19).

There's nothing more to do with the facts, so let's examine the rules. The first rule is "The three motels on Ferry Street, the town founded in 1889, and in Greenup are, in some order, the ones in Delaware, the one John visited second, and the one Alice visited sixth (clue 5)."

The second rule is "The three towns with Upper Street, the one founded in 1923, and the one in Alabama are, in some order, the one John visited eighth, the one Alice visited third, and Cleanwater (clue 15)."

As you can see, the second rule has done its job.

With assumptions enabled, the program needs 3 assumptions to find the solution.