if black takes the Bishop: 1… Kxh2 2. Kf2 Kh1 3. Nf6 Kh2 4. Ng4+ Kh1 5. Kf1 h2 6. Nf2#
if black doesn’t take the bishop, and plays … Kf3, the black king will have to be forced to a dark-square end (a1 or h8) and white should eventually win.
or if 1… Kh1 (not taking the Bishop) 2. Kf2 Kxh2 (forced) 3. Nd2 Kh1 4. Nf1 h2 5. Ng3#
Mate in 6 if he takes the bishop otherwise Night and Bishop mate in 40
1 b-h2 kxh2
2 k-f1 k-h1
3 k-f2 k-h2
4 n-d2 k-h1
5 n-f1+ h2
6 n-g3++
1. Bh2 Kxh2 2. Kf1
offer a draw because he wont know how to properly play B+N vs K
Bh2
1. Bh2
if black takes the Bishop:
1… Kxh2
2. Kf2 Kh1
3. Nf6 Kh2
4. Ng4+ Kh1
5. Kf1 h2
6. Nf2#
if black doesn’t take the bishop, and plays … Kf3, the black king will have to be forced to a dark-square end (a1 or h8) and white should eventually win.
or if
1… Kh1 (not taking the Bishop)
2. Kf2 Kxh2 (forced)
3. Nd2 Kh1
4. Nf1 h2
5. Ng3#
Nice puzzle.
My solution is wrong. Anon 7:27pm is correct.
After
1. Bh2 Kxh2
2. Kf2 ?? Kh1
3. Nf6 h7!
(and not …Kh2??)
Need 2. Kf1 as Anon 7:27pm says.
bh2! kxh2 kf1 not king f2 because knights cannot lose a tempo like bishops kh1 kf2 kh2 nd2 kh1 nf1 h2 and ng3 mate
1.Bh2! of course 1…Kxh2 2.Kf1 Kh1
2.Kf2!! Kh2 3.Nd2 Kh1 4.Nf1! h2 5.Ng3 mat
but Black can play 1…Kh1 2.Kf2! Kxh2 3.Nd2 Kh1 4.Nf1 !
but there’s also 1.Bh2! Kf3 2.Nd2+!
Kg2 3.Ke2! Kxh2 4.Kf2 Kh1 5.Nf1!