 # Day 4: The Architect

• Lumber is 1, Clay is 8 and Iron is 5. 185+185+185=555.

Reaper ts15 • 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 • Wood = 1

Clay = 8

Iron = 5

-------------------

server: ts1

nickname: Leksi

• Lumber - 1

Clay - 8

Iron - 5

codex victoria com - Scarface

• Aglitch

ts15.travian.com

Lumber = 1

Clay = 8

Iron = 5

• 185

nordic 4

• juankebab - NZ server

Wood = 1, Clay = 8, Stone = 5.

+ 185

+ 185

+ 185

= 555

• I think the only answer would be that they all are the number 0.

GypsyKing

ts15.com

• Clarissa - Com3

Wood = 1

Clay = 8

Iron = 5

185+185+185=555

• Wood = 1

Clay = 8

Iron = 5

So 185+185+185=555

IGN: Ghost Rider https://ts15.travian.com/spieler.php?uid=203

• 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 • 185

185

185

--------

555

Lumber=1 , Clay=8 , Iron=5

e11even

ts15.travian.com (Codex Victoria COM)

• nickname: NpcMike

Codex Victoria COM

answer: 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

• 555

Alexisgr codex Victoria ts15.travian.com

• = 1 = 8 = 5