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After reading basic chess cheating explained an example might be helpful to see how a game could open:
Setup:

Setup: Player B is black in Game 1 (left) against a human opponent and white in Game 2 (right) against a computer opponent. Player A can not see Game 2 and doesn't even know it's happening.
Move 1

Move 1: Player B watches Player A move the pawn in front of Player A's queen out two spaces in Game 1 (left). Player B uses an identical opening move in Game 2 (right) against a Computer Opponent.
Move 2(a)

Move 2(a): Before making a second move in Game 1 (left), Player B waits to see how the Computer Opponent in Game 2 (right) will respond to the opening move. Remember the opening moves were identical in both games. Player B sees the Computer Opponent in Game 2 (right) move the pawn in front of black's queen out two spaces.
Move 2(b)
Move 2(b): After Player B sees the Computer Opponent in Game 2 (right - see Move 2(a) above) respond by moving the black pawn up two spaces to meet the white pawn, Player B copies the exact same move the Computer Opponent made. This pattern will continue for the rest of the game.Move 3(a)
Move 3(a): Player B watches Player A move his Queen's bishop out (above). Before responding to this move in Game 1 (left), Player B replicates the move in Game 2 (right) against the Computer Opponent. Player B will need to see how the Computer Opponent responds before making another move in Game 1 (left)Move 3(b)
Move 3(b): Player B makes a move in Game 2 (right). The move involves taking the queen's bishop out to the same square that Player A did in Game 1 (left). Player B is continuing to mimic Player A's moves against the Computer Opponent.Move 4(a)
Move 4(a): The Computer Opponent in Game 2 (right) responds to the bishop move by moving the pawn in front of its King out one space. Player B will now make the move the Computer Opponent just did in Game 2 (right) and copy that move in Game 1 (right) against Player B (the human opponent).Move 4(b)

Move 4(b): Player B makes a move in Game 1 (left). The move is the exact same move that the Computer Opponent just made against Player B in Game 2 (right).
By continuing this process throughout the entire game Player A in Game 1 will essentially be playing against a Computer Opponent set to maximum difficulty.
In Game 1 Player B will simply serve as an intermediary for the Computer Opponent. At the same time that Player B loses to the computer in Game 2, Player B will win Game 1 against the human opponent (Player A). Since computer chess programs are superior to human players Player A would lose even if he was the best human chess player in the world.
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