Version: (using KDE 4.0.0) Installed from: SuSE RPMs I have found a game on the "Very hard" difficulty that actually has two solutions (that means: two solutions which are in fact accepted as such, not like in the #150386 bug). I'll post a screenshot of that game in the first comment.
Created attachment 23384 [details] Screenshot of a game with two solutions Here it is. I've locked all certain fields. Another annotation: I've filed this as "bug" as the handbook explicitly states that every game has exactly one solution.
fixed in trunk (KDE 4.1), now all generated game have exactly one solution
Created attachment 25470 [details] Picture of solved Knetwalk Game
To solve a game all terminals and all _cables_ need to be connected. In the last version (kde 4.1) when a situation as the one in the last screenshot occurs, e message box is shown to warn the user.
Created attachment 26486 [details] Another way for there to be more than one possiblity
*Anytime* that there is a pattern of |- [] [] |- where the "|-" is a three cable, and the "[]" is a computer there are two ways to solve it. There are however other ways. I posted an attachment of one such way. The puzzle is currently solved, but could be solve another way if the non-locked pieces are rotated the other way. I am not sure if your bug fix deals with this problem too.
It seem you are using the old version of KNetWalk (the one shipped with KDE 4.0). In KNetWalk 3.0, shipped with KDE 4.1, games such as the one in your screenshot shouldn't be generated at all, if they are please let me know.