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var doors=[];
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for(var i=0;i<100;i++)
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doors[i]=false; //create doors
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for(var i=1;i<=100;i++)
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for(var i2=i-1,g;i2<100;i2+=i)
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doors[i2]=!doors[i2]; //toggle doors
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for(var i=1;i<=100;i++) //read doors
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console.log("Door %d is %s",i,doors[i-1]?"open":"closed")
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