The smallest FIVE can be is 5153 like this 2980 +2173 ----- 5153 or we can swap the 8 and 7 and get the same thing. I know of no way but trial and error. You can see right off that R=0 and O=9 and that we carry 1 to the leftmost two columns. Then we try N to be 1 making N=3, and that ends up a failure. So we try F=2 making N=5, and succeed with I as small as it can be, 1. Edwin