Enigmatic Code

Programming Enigma Puzzles

Enigma 376: Letters decide to divide

From New Scientist #1525, 11th September 1986 [link]

In the following division sum each letter stands for a different digit.

enigma-376

Rewrite the sum with the letters replaced by digits.

[enigma376]

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4 responses to “Enigma 376: Letters decide to divide

  1. Jim Randell 23 December 2016 at 8:20 am

    We can solve this using the SubstitutedDivision() solver from the enigma.py library.

    Here I’ve put all the command line arguments into a run file, rather than write a separate program:

    #!/usr/bin/env python -m enigma -r
    
    # solver to use
    SubstitutedDivision
    
    # the main division sum
    "mtxexh / kd = mpex"
    
    # the intermediate subtraction sums
    "mtx - ddx = kl"
    "kle - eme = hl"
    "hlx - skt = xt"
    "xth - thh = sl"
    

    we can then run the solver directly from the command line:

    % python -m enigma -r enigma376.run
    [solving mtxexh / kd = mpex, [('mtx', 'ddx', 'kl'), ('kle', 'eme', 'hl'), ('hlx', 'skt', 'xt'), ('xth', 'thh', 'sl')] ...]
    412726 / 83 = 4972 rem 50 [d=3 e=7 h=6 k=8 l=0 m=4 p=9 s=5 t=1 x=2] [412 - 332 = 80, 807 - 747 = 60, 602 - 581 = 21, 216 - 166 = 50]
    

    This runs in 80ms.

    Solution: The sum is given below:

    enigma-376-solution

  2. Hugh Casement 23 December 2016 at 8:28 am

    I divided AH into WISEST and obtained the quotient WOES.
    These puzzles using a random collection of letters are indeed woeful.

  3. Naim Uygun 24 December 2016 at 4:33 pm

    I think, your puzzle is indeed woeful.

  4. Naim Uygun 24 December 2016 at 4:49 pm

    Do you intend this division:
    Dividend=431612, Divisor=87, Quotient=4961, Remainder=5

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