# Last Modified on Thu May 15 01:54:33 1986 by stolfi

Cryptarithms:

1.    HACK + HACK = BUG + BUG + BUG 
      
      15 solutions:
   
        HACK = 1038, BUG = 692
        HACK = 1047, BUG = 698
        HACK = 1086, BUG = 724
        HACK = 1089, BUG = 726
        HACK = 1098, BUG = 732
        HACK = 1245, BUG = 830
        HACK = 1254, BUG = 836
        HACK = 1356, BUG = 904
        HACK = 1362, BUG = 908
        HACK = 1386, BUG = 924
        HACK = 1407, BUG = 938
        HACK = 1437, BUG = 958
        HACK = 1452, BUG = 968
        HACK = 1458, BUG = 972
        HACK = 1473, BUG = 982

2.    HACK + HACK = BUG + BUG + BUG + BUG + BUG

      22 solutions

        HACK = 1095, BUG = 438
        HACK = 1370, BUG = 548
        HACK = 1420, BUG = 568
        HACK = 1430, BUG = 572
        HACK = 1480, BUG = 592
        HACK = 1570, BUG = 628
        HACK = 1580, BUG = 632
        HACK = 1705, BUG = 682
        HACK = 1725, BUG = 690
        HACK = 1730, BUG = 692
        HACK = 1735, BUG = 694
        HACK = 1745, BUG = 698
        HACK = 1825, BUG = 730
        HACK = 1840, BUG = 736
        HACK = 1890, BUG = 756
        HACK = 1905, BUG = 762
        HACK = 1920, BUG = 768
        HACK = 1960, BUG = 784
        HACK = 2035, BUG = 814
        HACK = 2140, BUG = 856
        HACK = 2190, BUG = 876
        HACK = 2370, BUG = 948

3. EMACS = HACKS + BUGS

   30 solutions

   Letters:   E M A C S H K B U G
   Solution:  2 4 7 8 0 1 3 6 9 5  
   Solution:  2 4 7 8 0 1 5 6 9 3  
   Solution:  2 5 6 7 0 1 3 8 9 4  
   Solution:  2 5 6 7 0 1 4 8 9 3  
   Solution:  4 1 2 6 0 3 7 8 5 9  
   Solution:  4 1 2 6 0 3 9 8 5 7  
   Solution:  4 2 6 9 0 3 1 5 7 8  
   Solution:  4 2 6 9 0 3 8 5 7 1  
   Solution:  4 5 8 1 0 3 2 7 6 9  
   Solution:  4 5 8 1 0 3 9 7 6 2  
   Solution:  4 7 8 6 0 3 1 9 2 5  
   Solution:  4 7 8 6 0 3 5 9 2 1  
   Solution:  5 1 7 8 0 4 2 3 9 6  
   Solution:  5 1 7 8 0 4 6 3 9 2  
   Solution:  5 7 9 3 0 4 1 8 6 2  
   Solution:  5 7 9 3 0 4 2 8 6 1  
   Solution:  7 1 2 9 0 6 4 8 3 5  
   Solution:  7 1 2 9 0 6 5 8 3 4  
   Solution:  8 1 4 5 0 7 2 6 9 3  
   Solution:  8 1 4 5 0 7 3 6 9 2  
   Solution:  8 1 6 3 0 7 4 5 2 9  
   Solution:  8 1 6 3 0 7 9 5 2 4  
   Solution:  8 3 4 1 0 7 5 9 2 6  
   Solution:  8 3 4 1 0 7 6 9 2 5  
   Solution:  8 4 9 3 0 7 1 5 6 2  
   Solution:  8 4 9 3 0 7 2 5 6 1  
   Solution:  8 5 6 4 0 7 1 9 2 3  
   Solution:  8 5 6 4 0 7 3 9 2 1  
   Solution:  9 3 7 5 0 8 1 6 2 4  
   Solution:  9 3 7 5 0 8 4 6 2 1  

UNIX + HACK = BUG + BUG + BUG + BUG + BUG 

   24 solutions
   
   Letters:   U N I X H A C K B G
   Solution:  3 0 2 7 1 6 4 8 9 5  
   Solution:  3 0 2 8 1 6 4 7 9 5  
   Solution:  3 0 4 7 1 6 2 8 9 5  
   Solution:  3 0 4 8 1 6 2 7 9 5  
   Solution:  3 0 7 4 1 5 8 6 9 2  
   Solution:  3 0 7 6 1 5 8 4 9 2  
   Solution:  3 0 8 4 1 5 7 6 9 2  
   Solution:  3 0 8 6 1 5 7 4 9 2  
   Solution:  3 2 0 7 1 4 6 8 9 5  
   Solution:  3 2 0 8 1 4 6 7 9 5  
   Solution:  3 2 6 7 1 4 0 8 9 5  
   Solution:  3 2 6 8 1 4 0 7 9 5  
   Solution:  3 4 0 7 1 2 6 8 9 5  
   Solution:  3 4 0 8 1 2 6 7 9 5  
   Solution:  3 4 6 7 1 2 0 8 9 5  
   Solution:  3 4 6 8 1 2 0 7 9 5  
   Solution:  3 5 7 4 1 0 8 6 9 2  
   Solution:  3 5 7 6 1 0 8 4 9 2  
   Solution:  3 5 8 4 1 0 7 6 9 2  
   Solution:  3 5 8 6 1 0 7 4 9 2  
   Solution:  3 6 2 7 1 0 4 8 9 5  
   Solution:  3 6 2 8 1 0 4 7 9 5  
   Solution:  3 6 4 7 1 0 2 8 9 5  
   Solution:  3 6 4 8 1 0 2 7 9 5  
   Letters:   U N I X H A C K B G


UNIX + HACK + HACK = BUG + BUG + BUG + BUG + BUG

   No solutions with H # 0
 
EMACS = HACKS + BUGS + BUGS
 
   30 solutions

   Letters:   E M A C S H K B U G
   Solution:  2 4 7 8 0 1 3 6 9 5  
   Solution:  2 4 7 8 0 1 5 6 9 3  
   Solution:  2 5 6 7 0 1 3 8 9 4  
   Solution:  2 5 6 7 0 1 4 8 9 3  
   Solution:  4 1 2 6 0 3 7 8 5 9  
   Solution:  4 1 2 6 0 3 9 8 5 7  
   Solution:  4 2 6 9 0 3 1 5 7 8  
   Solution:  4 2 6 9 0 3 8 5 7 1  
   Solution:  4 5 8 1 0 3 2 7 6 9  
   Solution:  4 5 8 1 0 3 9 7 6 2  
   Solution:  4 7 8 6 0 3 1 9 2 5  
   Solution:  4 7 8 6 0 3 5 9 2 1  
   Solution:  5 1 7 8 0 4 2 3 9 6  
   Solution:  5 1 7 8 0 4 6 3 9 2  
   Solution:  5 7 9 3 0 4 1 8 6 2  
   Solution:  5 7 9 3 0 4 2 8 6 1  
   Solution:  7 1 2 9 0 6 4 8 3 5  
   Solution:  7 1 2 9 0 6 5 8 3 4  
   Solution:  8 1 4 5 0 7 2 6 9 3  
   Solution:  8 1 4 5 0 7 3 6 9 2  
   Solution:  8 1 6 3 0 7 4 5 2 9  
   Solution:  8 1 6 3 0 7 9 5 2 4  
   Solution:  8 3 4 1 0 7 5 9 2 6  
   Solution:  8 3 4 1 0 7 6 9 2 5  
   Solution:  8 4 9 3 0 7 1 5 6 2  
   Solution:  8 4 9 3 0 7 2 5 6 1  
   Solution:  8 5 6 4 0 7 1 9 2 3  
   Solution:  8 5 6 4 0 7 3 9 2 1  
   Solution:  9 3 7 5 0 8 1 6 2 4  
   Solution:  9 3 7 5 0 8 4 6 2 1  

Done.
25.4u 1.5s 1:42 26% 126+75k 2+1io 3pf+0w
shell 25> Puzz.run < Puzz3.in

EMACS = HACKS + HACKS + BUGS + BUGS + BUGS

   21 solutions

   Letters:   E M A C S H K B U G
   Solution:  3 9 6 0 5 1 7 2 4 8  
   Solution:  4 6 0 9 5 2 8 1 3 7  
   Solution:  4 8 9 6 5 1 7 3 2 0  
   Solution:  5 3 4 8 0 1 6 7 9 2  
   Solution:  5 4 6 3 0 1 8 7 2 9  
   Solution:  6 0 9 2 5 1 3 7 4 8  
   Solution:  6 0 9 4 5 1 8 7 3 2  
   Solution:  6 1 4 9 0 2 7 3 8 5  
   Solution:  6 8 0 7 5 3 4 2 1 9  
   Solution:  7 4 8 3 5 2 9 6 0 1  
   Solution:  7 5 4 8 0 3 6 1 9 2  
   Solution:  7 6 4 1 0 2 8 9 3 5  
   Solution:  8 0 2 7 5 3 6 4 9 1  
   Solution:  8 0 7 4 5 3 2 1 9 6  
   Solution:  8 6 0 3 5 4 2 1 7 9  
   Solution:  8 6 1 9 0 3 2 7 4 5  
   Solution:  8 6 9 4 5 3 1 2 7 0  
   Solution:  8 9 2 6 5 4 7 1 3 0  
   Solution:  8 9 6 7 0 3 2 5 4 1  
   Solution:  9 1 4 8 0 3 5 7 2 6  
   Solution:  9 8 5 1 0 4 6 2 7 3  

Done.
47.9u 3.0s 3:08 27% 127+75k 1+1io 3pf+0w
shell 26> Puzz.run < Puzz3.in

EMACS = 3 * HACKS + 3 * BUGS

   28 solutions

   Letters:   E M A C S H K B U G
   Solution:  4 7 2 6 8 1 5 3 0 9  
   Solution:  4 7 2 6 8 1 9 3 0 5  
   Solution:  5 3 4 9 0 1 6 2 8 7  
   Solution:  5 3 4 9 0 1 7 2 8 6  
   Solution:  6 8 9 7 0 1 4 3 2 5  
   Solution:  6 8 9 7 0 1 5 3 2 4  
   Solution:  7 0 9 2 6 1 5 4 3 8  
   Solution:  7 0 9 2 6 1 8 4 3 5  
   Solution:  7 2 4 8 6 1 0 9 3 5  
   Solution:  7 2 4 8 6 1 5 9 3 0  
   Solution:  7 3 8 5 4 1 2 6 0 9  
   Solution:  7 3 8 5 4 1 9 6 0 2  
   Solution:  7 4 5 8 6 1 2 9 0 3  
   Solution:  7 4 5 8 6 1 3 9 0 2  
   Solution:  8 0 9 3 4 1 2 7 6 5  
   Solution:  8 0 9 3 4 1 5 7 6 2  
   Solution:  8 9 3 0 4 2 1 6 7 5  
   Solution:  8 9 3 0 4 2 5 6 7 1  
   Solution:  8 9 6 7 0 2 4 3 1 5  
   Solution:  8 9 6 7 0 2 5 3 1 4  
   Solution:  9 1 6 7 4 2 0 3 8 5  
   Solution:  9 1 6 7 4 2 5 3 8 0  
   Solution:  9 3 6 7 8 2 0 4 5 1  
   Solution:  9 3 6 7 8 2 1 4 5 0  
   Solution:  9 4 3 8 0 2 1 7 6 5  
   Solution:  9 4 3 8 0 2 5 7 6 1  
   Solution:  9 6 4 8 0 2 1 7 3 5  
   Solution:  9 6 4 8 0 2 5 7 3 1  
Done.
33.9u 1.7s 1:48 32% 127+75k 0+1io 3pf+0w
shell 27> Puzz.run < Puzz3.in

EMACS = HACKS + HACKS + HACKS + BUGS + BUGS + BUGS + BUGS

   19 solutions

   Letters:   E M A C S H K B U G
   Solution:  4 6 0 2 5 1 9 3 7 8  
   Solution:  4 9 3 6 5 1 7 2 0 8  
   Solution:  6 8 9 7 0 1 5 2 4 3  
   Solution:  7 3 2 9 5 1 0 8 6 4  
   Solution:  7 3 8 9 0 1 5 4 2 6  
   Solution:  7 5 9 6 0 1 8 4 2 3  
   Solution:  7 6 0 1 5 2 4 3 8 9  
   Solution:  7 6 9 2 5 1 3 4 8 0  
   Solution:  7 8 3 2 0 1 4 9 6 5  
   Solution:  7 9 8 0 5 1 3 6 4 2  
   Solution:  8 3 5 4 0 2 6 1 7 9  
   Solution:  8 4 9 3 0 1 5 6 7 2  
   Solution:  8 6 4 5 0 2 9 3 1 7  
   Solution:  8 7 4 9 0 2 5 3 1 6  
   Solution:  8 9 3 7 0 2 1 4 5 6  
   Solution:  9 1 0 3 5 2 6 7 4 8  
   Solution:  9 4 6 5 0 2 1 3 7 8  
   Solution:  9 6 8 0 5 2 7 3 1 4  
   Solution:  9 8 7 1 5 2 6 4 3 0