Elementary endgames with fairy chess pieces: Knight, Ferz, Alfil

A Ferz (symbol: F) is a fairy chess piece that moves and takes one square diagonally.

An Alfil (symbol: A) is a fairy chess piece that jumps two squares diagonally. It can leap over intermediate pieces.

For each of these 8 endings:
K+N+A vs K
K+N+F vs K
K+N vs K
K+F+F vs K
K+F+A vs K
K+F vs K
K+A+A vs K
K+A vs K

Find if:
- White can force checkmate
- White can force stalemate but can't force checkmate
- White can neither force checkmate nor force stalemate

The fifty-move rule is ignored.

Good luck!

By far I know K+A cannot force checkmate, and cannot force stalemate,

though stalemate is possible. Insufficient material.

Two alfils have some stalemate positions, but still stalemate cannot be forced.

Checkmate is possible, but cannot be forced.

Ferz and king checkmate is impossible, cannot force stalemate. Insufficient material.

Two ferzes cannot force mate, but if king is in corner, and two ferzes

create barrier, checkmate is possible.

Knight is automatic draw by insufficient material.

Knight + Ferz - There is drawing technique, but if king is trapped in right corner, and cannot escape it, checkmate is possible. Similar in this case to B + N mate.

Knigh + Alfil - There is drawing technique, but if king is trapped in a single right corner, and cannot escape it, checkmate is possible. Very rare.

Nice to learn from you that the Knight  is a fairy piece

I'm glad you now know it!

Knight is fairy piece.