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What do you guys think about these new variants: One-check chess, two-check chess, capture chess, anti-capture chess

Capture chess: two players with normal armies, the player that capture any piece wins. (I believe this is a white victory)
Anti-capture chess: two players with normal armies, the player that has any piece captured wins. Capture is mandatory.
One-check and two-check chess: You guys can guess the rules..
All of these are so simple that it could be memorizable, so nope.
I would actually like to see crazyhouse on Lichess. Great fun !
(Fics, freechess has it).
white wins 1 check chess by force after 1. Nc3, I imagine 2+ would give white a significant advantage, it would probably be forced win as well
#7 Would you please elaborate how 1.Nc3 is a forced win in 1-check? Also if 2-check gives white a significant advantage, what about 3-check? (I have never played that before so it sounds stupid..)
I will answer.

1. Nc3 is a forced win if only 1 check is required, because after black moves, white plays Nd5 or Nb5, threatening check in one move, and if black plays c6 to prevent Nd5/Nb5, then Ne4 and theres no way to prevent a check on d6 or f6. Nc3/Nc6 is often played in 3-check, but it's not as strong because you have to sacrifice the knight for a check.

2. Three-checks does give white an advantage larger than in standard chess, which is why one can't choose white when creating a game, only black or random.

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