N vs pp

[Event "White to play and draw"] [Event "?"] [Site "?"] [Date "2019.??.??"] [Round "?"] [White "Villeneuve, A."] [Black "0001.02"] [Result "1/2-1/2"] [SetUp "1"] [FEN "8/8/3K4/6p1/4k3/4p3/6N1/8 w - - 0 1"] [PlyCount "15"] [EventDate "2019.??.??"] [SourceDate "2000.07.25"] {If the white king goes to the right side, the black pawn on the right advances. If the white King goes to the left side, the black pawn on the left moves. What to do then? Wait for a pawn to advance to decide which side to go to. Basically, it is the application of a middle-game principle: improve the position before capturing an important decision !} 1. Ne1 $3 (1. Ke6 $2 g4 $3 {[#]} (1... e2 $2 2. Kf6 $1 {(or Ne1!)} g4 3. Kg5 $1) (1... Kf3 $2 2. Nxe3 $1 Kxe3 3. Kf5 $8) 2. Ne1 (2. Kf6 Kf3 $19) 2... g3 $8 3. Kf6 Kf4 $8 4. Kg6 Kg4 $8 5. Kf6 Kh3 $8 6. Ke5 g2 $1 7. Nf3 Kg3 $8 (7... e2 $2 8. Ng1+ $8) 8. Ke4 (8. Ng1 Kf2 $1 ) 8... e2 $1 $19) (1. Kc5 $2 e2 $3 {[#]} (1... Kf3 $2 2. Ne1+ $8 Ke2 3. Kd4 $3) (1... g4 $2 2. Ne1 $8 {(Kc4? Kf3! for ...Kf2-f1)} g3 3. Kc4) 2. Kc4 (2. Ne1 Ke3 $8 3. Kd5 g4 $19) (2. Kd6 g4 $1 {(or ...Kf3)} 3. Kc5 Kf3 $19) 2... Kf3 $8 (2... g4 $2 3. Kc3 $1) 3. Ne1+ Kf2 $8 (3... Ke3 $2 4. Kc3 $8) 4. Nd3+ (4. Nc2 g4) 4... Kf1 $8 (4... Ke3 $2 5. Kc3 $8 g4 6. Kc2 $1 g3 7. Ne1 $8) 5. Kd4 g4 $8 6. Ke3 g3 $8 7. Kf3 g2 $8 $19) 1... g4 (1... e2 2. Ke6 $1 {[#](or on e7, in any case to the right)} g4 3. Kf6 $8 Kf4 4. Kg6 $8 g3 5. Kh5 $8 Ke3 6. Kg4 $1 $11) 2. Kc5 $3 {[#]To the left.} e2 (2... g3 3. Kc4) 3. Kc4 $1 {Or on b4.} Ke3 4. Kc3 $8 g3 5. Kc2 $8 Kf2 6. Kd2 $8 Kf1 7. Nc2 $8 Kf2 (7... g2 8. Ne3+ $8) 8. Ne1 $8 1/2-1/2