when the player presses a key such as the left key, which makes the character go left, this is sent to the server. The server then figure out the players position as if they continously pressed the left key, until the player releases the left key, when that is sent to the servers which will respond accordingly.
The same thing can be applied to jumping, press the up key -> send the server this, work out the players position from that point, send to every player, and continue until landing.



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