20 #include "libmesh/number_lookups.h" 
   36   7, 7, 7, 7, 7, 7, 7, 7,
 
   37   8, 8, 8, 8, 8, 8, 8, 8, 8,
 
   38   9, 9, 9, 9, 9, 9, 9, 9, 9, 9
 
   49   0, 1, 2, 3, 4, 5, 6, 7,
 
   50   0, 1, 2, 3, 4, 5, 6, 7, 8,
 
   51   0, 1, 2, 3, 4, 5, 6, 7, 8, 9
 
   61   0, 1, 2, 3, 4, 4, 4, 4, 4,
 
   62   0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
 
   63   0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
 
   64   0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
 
   65   0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
 
   66   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9
 
   74   4, 4, 4, 4, 4, 3, 2, 1, 0,
 
   75   5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
 
   76   6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
 
   77   7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
 
   78   8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
   79   9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  105   0, 1, 2, 3, 4, 4, 4, 4, 4,
 
  106   0, 1, 2, 3, 4, 4, 4, 4, 4,
 
  107   0, 1, 2, 3, 4, 4, 4, 4, 4,
 
  108   0, 1, 2, 3, 4, 4, 4, 4, 4,
 
  109   0, 1, 2, 3, 4, 4, 4, 4, 4,
 
  115   0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
 
  116   0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
 
  117   0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
 
  118   0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
 
  119   0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
 
  120   0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
 
  121   0, 1, 2, 3, 4, 4, 4, 4, 4,
 
  127   0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
 
  128   0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
 
  129   0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
 
  130   0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
 
  131   0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
 
  132   0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
 
  133   0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
 
  134   0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
 
  135   0, 1, 2, 3, 4, 4, 4, 4, 4,
 
  141   0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
 
  142   0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
 
  143   0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
 
  144   0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
 
  145   0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
 
  146   0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
 
  147   0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
 
  148   0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
 
  149   0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
 
  150   0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
 
  151   0, 1, 2, 3, 4, 4, 4, 4, 4,
 
  157   0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
 
  158   0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
 
  159   0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
 
  160   0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
 
  161   0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
 
  162   0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
 
  163   0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
 
  164   0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
 
  165   0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
 
  166   0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
 
  167   0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
 
  168   0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
 
  169   0, 1, 2, 3, 4, 4, 4, 4, 4,
 
  175   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
 
  176   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
 
  177   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
 
  178   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
 
  179   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
 
  180   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
 
  181   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
 
  182   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
 
  183   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
 
  184   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
 
  185   0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
 
  186   0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
 
  187   0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
 
  188   0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
 
  189   0, 1, 2, 3, 4, 4, 4, 4, 4,
 
  217   4, 4, 4, 4, 4, 3, 2, 1, 0,
 
  218   4, 4, 4, 4, 4, 3, 2, 1, 0,
 
  219   4, 4, 4, 4, 4, 3, 2, 1, 0,
 
  220   4, 4, 4, 4, 4, 3, 2, 1, 0,
 
  221   4, 4, 4, 4, 4, 3, 2, 1, 0,
 
  227   5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
 
  228   5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
 
  229   5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
 
  230   5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
 
  231   5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
 
  232   5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
 
  233   4, 4, 4, 4, 4, 3, 2, 1, 0,
 
  239   6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
 
  240   6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
 
  241   6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
 
  242   6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
 
  243   6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
 
  244   6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
 
  245   6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
 
  246   5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
 
  247   4, 4, 4, 4, 4, 3, 2, 1, 0,
 
  253   7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
 
  254   7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
 
  255   7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
 
  256   7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
 
  257   7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
 
  258   7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
 
  259   7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
 
  260   7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
 
  261   6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
 
  262   5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
 
  263   4, 4, 4, 4, 4, 3, 2, 1, 0,
 
  269   8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  270   8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  271   8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  272   8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  273   8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  274   8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  275   8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  276   8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  277   8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  278   7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
 
  279   6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
 
  280   5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
 
  281   4, 4, 4, 4, 4, 3, 2, 1, 0,
 
  287   9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  288   9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  289   9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  290   9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  291   9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  292   9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  293   9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  294   9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  295   9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  296   9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  297   8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
 
  298   7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
 
  299   6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
 
  300   5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
 
  301   4, 4, 4, 4, 4, 3, 2, 1, 0,
 
  329   0, 0, 0, 0, 0, 0, 0, 0, 0,
 
  330   1, 1, 1, 1, 1, 1, 1, 1, 1,
 
  331   2, 2, 2, 2, 2, 2, 2, 2, 2,
 
  332   3, 3, 3, 3, 3, 3, 3, 3, 3,
 
  333   4, 4, 4, 4, 4, 4, 4, 4, 4,
 
  339   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
 
  340   1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
 
  341   2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
 
  342   3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
 
  343   4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
 
  344   5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
 
  345   5, 5, 5, 5, 5, 5, 5, 5, 5,
 
  351   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
 
  352   1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
 
  353   2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
 
  354   3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
 
  355   4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
 
  356   5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
 
  357   6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
 
  358   6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
 
  359   6, 6, 6, 6, 6, 6, 6, 6, 6,
 
  365   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
 
  366   1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
 
  367   2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
 
  368   3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
 
  369   4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
 
  370   5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
 
  371   6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
 
  372   7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
 
  373   7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
 
  374   7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
 
  375   7, 7, 7, 7, 7, 7, 7, 7, 7,
 
  381   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
 
  382   1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
 
  383   2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
 
  384   3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
 
  385   4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
 
  386   5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
 
  387   6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
 
  388   7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
 
  389   8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
 
  390   8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
 
  391   8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
 
  392   8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
 
  393   8, 8, 8, 8, 8, 8, 8, 8, 8,
 
  399   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
 
  400   1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
 
  401   2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
 
  402   3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
 
  403   4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
 
  404   5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
 
  405   6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
 
  406   7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
 
  407   8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
 
  408   9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
 
  409   9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
 
  410   9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
 
  411   9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
 
  412   9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
 
  413   9, 9, 9, 9, 9, 9, 9, 9, 9,