Caden, Jacob, Lucas, and Michael, whose last names are Armstrong, Boothe, Gardner, and Robinson, live in four houses in a row. From the clues below, find each person’s full name and house position (with house number 1 at the left).

1. Michael doesn’t live next door to Lucas.
2. Robinson’s house is after Gardner’s and before Michael’s.
3. Boothe’s house is just before Armstrong’s.
4. Lucas’ house, which is not first, is somewhere to the left of Caden’s.