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Chacun à son goût ! (Posted on 2019-02-18) Difficulty: 3 of 5
In an "old school" projection booth two goats were munching a celluloid version of "Gone with the wind".
After a while both agreed that the book was definitely better.

Assuming that the quality ratio is 9 (according to my taste) list all possible solutions (19, I believe) of the following alphametic:

STORY/FILM=9 ....... (i)

Rem: 3 solutions out of 19 are zero-free !


d4 Bonus:
Instead of the number 9 select another integer N and define #(N) as the number of distinct solutions of the alphametic (i) with a ratio n.

Solve the alphametic.
List the values of #(N) for N=2,3,4,....8.

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): computer solutions, with an extension of the bonus Comment 3 of 3 |
(In reply to re: computer solutions, with an extension of the bonus by Jer)

n=8 still has the most (46):

25496/3187
36712/4589
36728/4591
37512/4689
37528/4691
38152/4769
41896/5237
42968/5371
46312/5789
46328/5791
46712/5839
47136/5892
47328/5916
47368/5921
51832/6479
53928/6741
54312/6789
54328/6791
54712/6839
56984/7123
58496/7312
58912/7364
59328/7416
59368/7421
63152/7894
63528/7941
65392/8174
65432/8179
67152/8394
67352/8419
67512/8439
71456/8932
71536/8942
71624/8953
71632/8954
73248/9156
73264/9158
73456/9182
74528/9316
74568/9321
74816/9352
75328/9416
75368/9421
76184/9523
76248/9531
76328/9541

  n   #(n) zero free
   2  12
   3   2
   4   4
   5  12
   6   3
   7   7
   8  46
   9   3
  12   4
  13   3
  14   8
  15   2
  16   3
  17  27
  18   1
  19   2
  22   1
  23   3
  24   2
  26   9
  27   4
  28   1
  29   2
  32   1
  35   5
  37   1
  38   2
  43   1
  44   5
  46   1
  52   1
  53   4
  59   1
  62   2
  66   1
  68   1

The only change to the code was making the string not include a zero:

st$ = "123456789"

and of course I tested for 8's to be displayed.

The solution for 68, the largest, is 98736/1452.

  Posted by Charlie on 2019-02-19 11:19:31
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