Design a circuit for a light fixture

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Design a circuit for a light fixture controlled by four switches, where flipping one of the switches turns the light on when it is off and turns it off when it is on and please explain your answer

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A hint:

Use switches of the following type: There are two input terminals $A$, $B$ and two output terminals $A'$, $B'$. The switch either makes the connections $A-A'$, $B-B'$ or the connections $A-B'$, $B-A'$.