White to move. How should White proceed? 
Chess Daily News from Susan Polgar
Endgame activity
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White to move. How should White proceed?
I would play 1.Nd7, this shields the White e-pawn from the rook and threatens 2.e7+ +- After 1.Nd7 Black should play 1…Rc8 then White plays 2.Nf6 (threatening 3.e7 checkmate) which forces 2…Rc7 and after 3.Nd7 Rc8 4.Nf6 Rc7 5. Nd5 Rc8 6.b3 Ke8 7. Nf6+ Kf8 8. Kd7 Rb8 9. e7+ Kf7 10. e8=Q+ Rxe8 11. Nxe8 g5 12. fxg5
Kg6 13. Nf6 Kxg5 14. Ke6 f4 15. gxf4+ Kxf4 16. Nxh5+ white wins.
i agree with
1.nd7 rc8
but now
2.e7+! ke8
3.nf6+ kf7
4.e8q+ rxe8
5.nxe8 kxe8
6.ke6! and white is winning
e.g.
6… kf8
7.kf6 kg8
8.kxg6 etc.
greetings, Vohaul
1.nd7 rc8
but now
2.e7+! ke8
3.nf6+ kf7
4.e8q+ rxe8
5.nxe8 kxe8
6.ke6! and white is winning
one would need to calculate 5…g5!? 6.fg f4
which I am too lazy to do…
Bill Brock
Chicago
I’m not THAT lazy
5…g5!? 6.fg f4
and now 7.gf Kxe8 (box–otherwise 8.Nf6 h4 9.Ng4) 8.Ke5 wins, right?
-whb
After 1.nd7 ?
1…RXd7!+
2.eXd7+
2…Kd8 and draw because black pawns win.
It is necessary to seek an other solution.
I would rather try to play
1. Nb4, with the idea to play 2. Nd5, 3. e7+, an if RXe7
4. Nc6 + wins
Ow I wanted to say Nb3, Nd4 and than Nc6
nd7 rxn
pxn kd8
the pawns don’t win, white just has to be careful of stalemate and black has 1 too many pawns
1. Nd7 RXd7
2. eXd7
There is no Kd8 now … black king is already at d8 … black has to move one of the pawns. white has just got to avoid stalemate and will win !
for mr lazy, after g5 it’s not fg but kf5 and white stays up a pawn on the kingside. oh, mr sudhir, thx, 🙂
1.nd7 rxd7
2.exd7
a)2… g5
b)2…h4
c)2…a4
d)2…b3
a)3.fxg with mate in 3 moves (g6,g7,g8r#)
b)3.hxg a4 (3…g5, 4.h5! with mate in 3 moves h6,g7,h8r#)
4.a3/b3 b3/a3
5.ke6 g5
6.fxg and both white passer pawns will promote
c)3.a3/b3 b3/a3
4.ke6 zugzwang ALL white pawns will promote
d)3.a4 h4
4.gxh4 g5
5.h5 with mate in 3 moves
no way out: 1.Nd7! is the right move!
greetings, Vohaul
after 5…g5 it is of course 6.fg f4?, 7.gf h4 8.nf6 +-
7. …kxe8, 8.ke5 h4, 9.ke4 +-
for mr lazy, after g5 it’s not fg but kf5 and white stays up a pawn on the kingside.
Mr. Lazy can detect illegal moves sans voir–the WK is still on d6 in this variation after 5…g5 and would need a teleportation device to make it to f5. If instead 6.Ke5, then 6…h4 oopsies. Refutation previously posted by self & by Vohaul.
— whb = Bill Brock = Mr. Lazy