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When is K vs K+R in antichess winning? How to win these endgames?

Note: This is not a question on standard chess, where obviously K+R vs K is a win for K+R.

Here are two example K+R vs K positions in antichess, both having white to play and white having K+R.

Position #1 (This is a winning position after Kf5 according to lichess's antichess engine):

[FEN "5k2/8/8/8/6K1/8/8/3R4 w - - 0 1"]

Lichess analysis board

Position #2 (This is a drawn position according to the same engine):

[FEN "5k2/8/8/8/8/6K1/8/3R4 w - - 0 1"]

Lichess analysis board


Now I have a few related questions about the K+R vs K endgame:

In antichess, how do you determine whether or not a K+R vs K endgame is winning or a draw for the side with K+R?

If you determine it is winning for K+R, what techniques can be applied to secure the win for K+R? What about possible defenses as K?

If you determine it is drawn for K+R, what techniques can be applied to secure the draw for K? Are there any tricks or whatnot to squeeze a win as K+R?