Stalemate is when one player has no legal moves, but their King is not actually threatened. In this situation, the king has no legal moves without moving into check. However, in the space it is currently in, it is not in Check. thusly, the king has no legal moves, and neither side wins nor loses, which is a draw. In the diagram below, Type A is a draw, as it is impossible for either side to win. However, this is not a stalemate (stalemate is only a certain type of draw) In Type B Black has been checkmated, white wins. This is not a stalemate either. In type C it is not a stalemate either. Black has a legal move with his king which he can make The game is not yet over. Type D is however stalemate if it is black to move- he has no legal moves but his king is not in check.
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