The winning White king slides along the third rank gaining the opposition and protecting the knight when needed.

Replay the finish from 58.Be5+ Note that the White knight moves in a "W" pattern and gave the next-to-last check. Once the lone K is restricted to the last two squares by the winning king and bishop, the knight varies and makes a retreat move in order to come to the correct square on the edge to give the next-to-last check.

The bishop had to make a quiet "waiting move" on 59.Bd6, 66.Bf2, and 72.Bf4. These waiting moves were accurate, worked just fine to pass the turn without having to change White's coverage. However, the bishop could have also traveled in a "W" pattern as well with the alternative moves 72.Bd2 and 75.Bc3#. The bishop is a long-range piece that can do its job from more than one square so long as the bishop sits on the correct diagonal preventing escape.

FTB has given tips on this K-B-N vs K ending elsewhere. Here's some good advice copied from another:

<Jul-05-10 SteinitzLives: Key to this ending is not only mating in the corner that is the same color as the bishop but also:

1) Get the opposition whenever possible until the lone K is on the rim.

2) Create an "L" shaped wall [barrier] with the N and B either with one square in between them on rank or file, or diagonally next to each other.

3) Keep the N and B out of the Kings' way (without giving up key squares) when your K must move sideways in relation to the lone K!

4) A big part of doing this right is not being afraid to let the lone K off the rim once you have him in the mate quadrant of the board; don't worry, the K, B and N with the right one or two square-controlling moves will put the lone K right back on the rim, and on the rim square where you need him to be.

5) Remember the piece to-search-for-a-move priority: a) look for best K moves first, b) look for best N moves second, and c) look for best B moves last.

6) Practice using Pandolfinis' endgame book where he has several mate in 2, 3, 4 and more problems, with K+B+N vs. lone K, then you can keep "goal positions" that have such forced mates following them, etched in your mind.

7) One of the best descriptions of this mate process comes from Paul Keres' old book "Practical Chess Endings" (a book title shared by several other authors and books BTW). Keres gives an absolute worst-case scenario in this ending and shows you how to do it with clear descriptions.>

Thank you SteinitzLives!

Note that the lone K shuffled left and right along the edge in the game above. It is a slightly different technique when the lone K makes a mad dash in one direction trying to get past the knight. The lone K can temporarily turn the corner past the knight but cannot escape if handled correctly. The winning king will protect the knight and the bishop drops way back to take away squares from distance that the knight does not cover. That is what #4 above is referring to - the lone K making a mad dash across in one direction.

This video demonstrates both directional reactions by the lone K: https://www.bing.com/videos/search?...

I agree with tip #5. Ask "What will my opponent do next if I allow it?" I always identify which specific move the lone K could make that would cause me the worst problem to fix and that is the square to cover -- prevent the worst problem from happening. In this way the long K is given a limited choice of square(s). Force the lone K out of the middle, onto the edge headed for the corner of the color of the bishop. The knight is usually more difficult to get properly position than the bishop, and the knight needs the winning king's protection. Here's more instruction: https://www.bing.com/videos/search?...

Instead, the instructor can focus on mating the lone K with the queens(s) or rook(s) instead, as well as Fool's Mate, Scholar's Mate, Legall's Mate, Smothered Mate, Reti's Mate, etc. Students enjoy these patterns more because they take far fewer moves!