--- 110.sml     2007-12-21 19:45:26.606130399 +0000
+++ 110-3.sml   2007-12-21 20:58:19.679130289 +0000
@@ -13,16 +13,30 @@
   fun loop _ [] _ prod sum _ =
     if prod = sum then print (toString sum ^ "\n") else ()
     | loop (p::ps) (b::bs) bound prod sum start = let
+      fun pow (x, y) = let
+        fun loop r 0 = 1
+          | loop r 1 = r
+          | loop r n = let
+              val z = r * x
+            in
+              if z <= bound then loop z (n - 1)
+              else bound + 1
+            end
+      in
+        loop x y
+      end
+
       fun f x = let
         val pp = pow (p, x)
       in
         if pp <= bound then
-          loop ps bs (bound div pp) (prod * pp) (sum + b * fromInt x) 0
+          loop ps bs (bound div pp) (prod * pp) (sum + b * x) 0
         else ()
       end

       open Int
-      val lst = List.tabulate (10 - start, fn x => x + start)
+      val lst = if start = 0 then [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
+                else [1, 2, 3, 4, 5, 6, 7, 8, 9]
     in
       app f lst
     end