The purpose of this exercise is to practice seeing more quickly where the knight can move. The black pawns never move in this exercise. The goal is to make legal knight moves to take the knight from square a1 to square b1, however with the limitation that the knight can never land on the black pawns or where the pawns can capture. (For example, the pawn on c3 can capture on b2 and d2, making all three squares off-limits to the knight.)
The knight can get to b1 in three moves by moving Nc2, Na3, and then Nb1. The next goal is to get the knight from square b1 to square c1 following the same rules. One of many ways to do that is to play Na3, and then Nc2, Nd4, Nb3, and then finally Nc1.
After that, the goals are to get to d1, e1, f1, g1, h1, h2, f2, c2, a2, a3, b3, d3, etc. until the entire board is reached in this fashion.
A good class A player with practice should be able to do the entire board in less than 3 minutes. For lower-ranked players, this might take much longer, even with practice.
Doing this exercise will actually help you win more games by making you better with your knights.
Sometimes I practice this exercise in my head without a board.
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