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