function size( cu ){
	split(cu, c, ",")
	return (c[2]-c[1]+1)*(c[4]-c[3]+1)*(c[6]-c[5]+1)
}

function cubestate( cu ){
	return substr(cu,length(cu))
}

function intersect(cube1, cube2){
	split(cube1,c1,",")
	split(cube2,c2,",")

	difx = (c1[1]<c2[1]) ? c1[2]-c2[1] + 1 : c2[2] - c1[1] + 1
	dify = (c1[3]<c2[3]) ? c1[4]-c2[3] + 1 : c2[4] - c1[3] + 1
	difz = (c1[5]<c2[5]) ? c1[6]-c2[5] + 1 : c2[6] - c1[5] + 1
	print difx, dify, difz
	if(difx>0 && dify>0 && difz>0)
		return difx*dify*difz
	else
		return 0
}

{
	state = ($1=="on") ? 1 : 0
	split($2,arr,",")
	split(arr[1],x,/\.\./)
	split(arr[2],y,/\.\./)
	split(arr[3],z,/\.\./)

	sub(/^.=/,"",x[1])
	sub(/^.=/,"",y[1])
	sub(/^.=/,"",z[1])

	x[1] = strtonum(x[1])
	y[1] = strtonum(y[1])
	z[1] = strtonum(z[1])

	cube[NR] = x[1] "," x[2] "," y[1] "," y[2] "," z[1] "," z[2] "," state
	print cube[NR], size(cube[NR]), cubestate(cube[NR])
}

END{
	print ""
	for(i=1;i<NR;i++){
		for(j=i+1;j<=NR;j++){
			ints[i,j] = intersect(cube[i],cube[j])
		}
	}
}