Answer page below
The Google US Puzzle Championship is next Saturday, June 16th. It's used to select the US Puzzle Team, but puzzle-lovers of all sorts should find something interesting in the puzzles. Let's have a big "G" (for Google):
Here's a puzzle based on Erich Friedman's "Distance," from the 2003 Google U.S. Puzzle Championship. Label 14 of the circles above with different numbers from 1 to 14, such that the distance between 1 and 2 is less than the distance between 2 and 3, and so on. Four circles should remain empty.
If the "±" sign is selected, you can click on the top part of a circle to increase it and click on the bottom to decrease it. Or, select a number in the palette and click on a circle to fill that number into the circle. Deselect the active selection to create a blank. You win if all the "distances" to the right turn green.