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Have you ever wondered how the king and rook cross in a castling move? In this move, the rook actually comes next to the king, and because the rook has 2 doors next to it, the king can enter from one door and leave the other. In 960 chess, if the king is more than two squares farther from the square to which he must move, the king enters the rook and before leaving, the rook first moves to his own square and then the king leaves.
En passant is a movement when a pawn moves forward in a two square motion, and if there is an opponent pawn next to it, the opponent pawn can remove that pawn. but how? This is because just as a pawn moves one square forward, the opponent pawn can catch it, even if two squares move, it is possible to catch it. In old chess chaturanga, pawns could always move forward only one square. So there was no en passant motion. But in today's chess, when pawns can be moved to two squares in one move, they added this rule so that pawns like chaturanga can be taken.