So I think Nxg2 with the idea of redirecting the knight to g3 So NxG2, BxC6, Ne3, then I don't think it matters what bishop move black makes cos they can't stop Nf1 and Nf5, then Ng3#
This Puzzle Though...???

So I think Nxg2 with the idea of redirecting the knight to g3 So NxG2, BxC6, Ne3, then I don't think it matters what bishop move black makes cos they can't stop Nf1 and Nf5, then Ng3#
I was thinking that too, but Nxg2 Bxc6, Ne3 Bd7, Nf5 Bxf5, Kf3 g=Q, gg...

If Bd7 guarding f5 then Nf1 If Bd5 guarding f1 then Nf5 The bishop can't prevent both routes to Nf3#

If Bd7 guarding f5 then Nf1 If Bd5 guarding f1 then Nf5 The bishop can't prevent both routes to Nf3#
Ahh I see it now. Phew tough one for me. Thanks for the help!
Use bishop leads to stalemate?
1. Bxg2+ Bxg2
2. Nxg2 (stalemates, forgot the white pawn)
Use knight
1. Nxg2 Bxc6
2. Ne3 (Nf4 is countered by Bf3) Bd3 (want to be Bc2)
3. Nf1 any
4. Ng3#

Forced game with
1. Bxg2+ Bxg2
2. Nxg2 h5
3. Nf4 (Nh4 stalemates) h4
4. Nh5 (Ne2 also valid) h3
5. Ng3#
I think knight takes pawn is the best first move. I'm a little fuzzy on the whole h5 part of your plan.

Fairly easy puzzle. The black king is in a mating net. Just take on g2 with the knight and maneuver the knight to g3#

Here is a harder one
Are you sure that you put in the right position? Those black square bishops on d4 and e3 are very suspicious. Also, in this position all 3 possible captures on g5 are equally good, and a dozen other moves also win.

also
the pawn structure is illegal for black
the f pawn went to g6, how did h5 get there
same if it goes to h5 how did g6 get there

Saw it in - seconds
Here is a harder one
Here's a better one, white to move and mate in 5

Saw it in - seconds
Here is a harder one
What happens if black plays 4...Kf6 instead of your main line 4...Kxg4?, some of the moves in your position aren't forced.

also
the pawn structure is illegal for black
the f pawn went to g6, how did h5 get there
same if it goes to h5 how did g6 get there
This seems quite simple to prove legal, h5 is the h-pawn, h2 is the g-pawn, and g2 is the f-pawn. The real question is how this would happen in a game.
I mean, other than forcing stalemate, I can't find any other solution (this is on puzzles):