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Variant: Monster Chess

Was very popular awhile back.
White starts with just 4 pawns, c,d,e,f and King
Black normal set up.
White gets 2 moves to Blacks 1
White King is a monster, hard to mate and can capture Blacks King
I would suggest that white is winning. I mean 2 moves a move is losing for black no?
I would like to see on Lichess Bughouse or 3-players chess.
What do you think?
With exact play, Black wins ! must accurately defend, run the a or h pawn for a 3rd major piece as it takes 3 to mate, controling 3 ranks or files. White usually crushes quickly till Black learns defence
White King, with 2 moves in hand, can capture pieces and step away. If it is 2 squares from the Black King, it can capture the Black King and win if on the move.
Very difficult to mate the White King when it has 2 moves to escape.
anyway.. this was the only variant besides team bughouse that was played back in my day. Later, losers chess came along.
regular rules of check applied, no capturing the King. Entirely different than this anti chess today.

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