Day 4: The Architect

  • One starting assumption, rocks cannot be 0, because the two numbers do not add to 0.


    Assuming base 10...
    the rocks give the equation (3*r % 10) = r.
    For base 10, this is true for 0 and 5. 5 is the answer.
    That means we carry the 1 to the clay stack. now we have...
    ((3*c + 1) % 10) = r

    For base 10, this is true for 8.

    That means we carry the 2 to the wood stack.
    ((3*w + 2) % 10) = r

    For base 10, this is true for 1.

    Rock = 5, Clay = 8, and Wood = 1;


    There is no solution is base 0, 1, or 2 (There are not enough options)

    There is no solution for base 3 (The rock MUST represent 0, and if the rock is zero and the clay and wood are not 0, it is impossible to add two positive numbers to get 0)


    However, base 4 is the really interesting question to answer. In base 4, there are four symbols. This means that In base 4 I can provide the answer to "What is the value of the crop symbol?"

    the rocks give the equation (3*r % 4) = r.

    For base 4, this can only be 0 or 2. So 2.

    That means we carry the 1 to the clay stack. now we have...

    ((3*c + 1) % 4) = r

    For base 4, this is true for 3.

    That means we carry the 2 to the wood stack.

    ((3*w + 2) % 4) = r

    For base 10, this is true for 0.

    Rock = 5, Clay = 8, and Wood = 0;

    That leaves crop to be 1 ;)

  • Nickname: TheGoldOne


    Server: Codex Victoria, .com


    My answer:


    Starting with stone: 3x5=15 the only possible combination where I would get the same number as if multiplied by itself x3.


    Brick: (8x3)+1=25, giving me another 5.


    Lumber: (1x3)+2=5, also giving 5.


    185+185+185=555 ^^

  • The answer is

    Iron = 5

    Clay = 8

    Wood = 1


    1 ( Wood ) 8 ( Clay ) 5 ( Iron )
    1 ( Wood ) 8 ( Clay ) 5 ( Iron )
    + 1 ( Wood ) 8 ( Clay ) 5 ( Iron )
    5 ( Iron ) 5 ( Iron ) 5 ( Iron )


    Morsy

    ts15.travian.com

  • :lumber: = 1

    :clay: = 8

    :iron: = 5


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    Alligator [Rvn] | Bumble Bee [Ronin - Rhesus] | Nevermore [WON]