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1. Kd2+ Kf4
2. Ne6+ Kg4
3. h3#
2.Ne2 also mates in 3 total, even though the knight covers up the rook’s line on e4.
2. Ne2 does not make a mate in 3. Black king can go e4 and next to f4.
1.Kd2+ Kf4 2.Ne2+ Ke4 3.Ng5#, f4 is covered by the e2 N.
The knights protect each other. Check by discovery: 1Kd2+ If Kf1, King escapes to d3 thus,1…Kf4
Next, 2Ne6+! forces…Kg4 3h3#
White starts:
Option 1: 1. Ke2-d1+; 2. Ke4-d3; 3. Re1-e3#
Option 2: 1. Ke2-d2+; 2. Ke4-f4; 3. e2-e3#
Mate in one: 1. Nd4-e6#
Mate in 5: 1. Ke2-d2+; 2. Ke4-f4; 3. Nd4-e6+; 4. K4-g4; 5. h2-h3#
In order to save on the amount of writing needed moves in chess are written in pairs and the word “moves” changes its meaning when describing the length of a game or sequence of moves because it’s an abbreviation of “pair of moves (counting a half pair at the end as a full pair)” so a mate in 3 is a mate in 3 pairs of moves rounded up from 2.5 pairs of moves.
A real chess puzzle can have only one solution