Bishop's Tour

cobra91,

My solution to C was exactly the same as yours.  It doesn't look like there are many ways to solve A through D. 

Yes, I had trouble with D.  Every time I looked at 9 on c6, I had already filled a2 and b1, so I missed the 10 through 15 maneuver you used.

As for the dark square tours, I take it you understand that they are more difficult than light square ones.    Well, here you go...

Puzzle E:

A solution is now below.

OK.  Here's the solution for Puzzle E.  This time, I'm going to step through the solution and annotate it a bit.

Looking at the assigned squares, it should be clear that there's only one way to enter and exit from a1...  c3 has to be #7, and b2 has to be #9.  The same thought works for h8... f6 must be #15 and g7 must be #17.  So, the puzzle has actually assigned numbers to the entire long diagonal:

Now for squares 1 through 6.  As a general rule, the solver should try to keep away from the assigned squares until it's time to enter them.  So,  e1 would be a good square #6 (so would a5):

Now, square #10 must be either c1 or a3.  I found things getting tangled up when I tried c1, so I settled on a3 (which does a better job of obeying the general rule):

The next assigned square I have to get to is f6, so I'd like to make d8 #14.  b4-a5-b6-d8 wouldn't work because it would take away the exit square for a7.  I need to find a good waiting move.  Oh, there's f8!

Square #18 is forced, and I then get to complete the c1-h6 diagonal, leaving by square #24.

Then the B marches to #32:

Ta-da!

These 2 are not easy...

Puzzle F:

Puzzle G:

(A little observation:  to come up with puzzle G, I just reversed the numbering of the assigned squares for puzzle F.  But the solver can't just reverse the numbering of a puzzle F solution to solve puzzle G.  If it were a knight's tour, reversing the numbering would work.  But the requirement that the bishop can't pass through a previously occupied square prevents that technique from working with bishop tours.) 

I'll post solutions in a few days.

These last two were quite hard, but after some difficulty I managed to get them both. Puzzle G was especially annoying, because I had this dynamic fantasy solution that would have been pretty awesome, but it refused to work so I had to give it up and reluctantly try something a bit more dull. Anyway, here are my solutions:

Puzzle F: h8, e5, h2, g1, e3, c1, a3, b4, a5, d8, c7, b8, a7, b6, c5, d4, a1, b2, c3, d2, e1, f2, g3, f4, h6, g7, f8, d6, e7, f6, g5, h4

Puzzle G: f8, h6, e3, f2, g1, h2, g3, h4, g5, d8, a5, b6, a7, b8, c7, f4, e5, h8, g7, f6, e7, d6, c5, d4, a1, c3, e1, d2, c1, b2, a3, b4

They weren't as bad as "E" though; that one stumped me completely. Uh, you were just kidding about dark-square tours being harder, right?

Frezco's solutions here...

Puzzle F:

Puzzle G:

You found E difficult?  Looks like I can't always predict which ones will be hard for others and which won't be.  Err... if you were kidding about E, please ignore this paragraph.

Here's puzzle H:

I'll post a solution in a few days.

 Amazingly (heh), I can't solve that one!  You will post a solution, right?

"Not to be confused with cobra91" lol.

Anyways, a bishop starting on b2 couldn't reach a1 unless you go there on the first move, but then you couldn't go to any other squares, so it's impossible.

Unless you exclude the a1 square.

Here's a solution to puzzle H:

And... here's puzzle I.  This looks easy.  Is it?

Here's a solution to I:

How about this:

A bishop starts on f2 and ends on h2.

Well, there's no access to g1.  If it starts on f2, the ending square would need to be changed, or there would need to be some statement that the tour doesn't include g1.  Or the puzzle maker has made a mistake. 

Well you got me there. :)

How about this: The bishop starts on f3 and ends on g2.

 Same thing, only different.  How about a knight's tour that starts on a1 and ends on h8?