33

how about this? this is allowed right?


17

We have the following COCA +COLA ----- SODA Next, notice something similar in the Since we have a 4 digit number as the result, we know that But: Thus, Also, we know Thus, the solution is;


16

The answer is indeed but let me take a stab at the title:


14

The solution to the crossword is: And this can be arranged as: My strategy: But is this solvable as a 15-puzzle? An explicit solution:


13

Based on Omega Krypton's answer,


12

I think the answer is Reasoning


12

Loophole that I discovered: (1) Pretty much based on micsthepick's answer... (2) self-innovated: (3) self-innovated: (4) self-innovated


11

They are Explanation:


11

Just one ...Finally all four! (although I feel there could be "better" solutions for (1) & (2))


11

Answer Reasoning


10

I think it’s This gives We note that


9

It's: Because:


9

Initial grid as follows:


9

Here it is, no explanation needed i think :) Note: As @IvánNokonoko mentioned in the comment, the NNE grid in the second layer (from outside) can also be R instead of A to form (GRIT and BRIT). Thanks!


9



9

Completed octogram and the word at the bottom: (I know you gave us an answer template, but I like the pictorial format!) Solution process The puzzle is actually in two halves (plus finding the bottom word), and each half is easy to complete once you find the first short word in it. Given one short word, say from long word A to long word B, you can easily ...


8

Since we know that Therefore $A$ Hundreds value must carry since $O \neq 0$ Therefore Therefore $O$ We now get And since $S<9$ Then there are many possibilities... any relations I missed out?


8

I got 6 of them:


7

This is a long shot, but the title could be a hint towards it. because


7

Immediately, $C, I, L, U, V =$ Equations:


7

Full Solution Notation: Deducing $e$ therefore, Deducing $c, f, h$ regarding B, C: only pair available for distance of 4 is: Therefore, Sum of 25 rule renders Deducing the rest regarding A, E: only pair available for distance of 2 is: Therefore, Sum of 25 renders


6

Edit: The words in NNW are and not since we already use These are the answers going anti-clockwise: Also, something extra:


5

According to the answer of hexomino I would say Because


5

I'm not sure if this is allowed, but


5

Size considerations (starting from the left) Modular considerations (starting from the right) Case checking So far we have: Let's try So Final answer


5

It seems there is just one solution Reasoning


5

It's: because:


4

With pencil and paper:


4

OK - here is a real solution this time without concatenation. I have a couple sub expressions. Now I can construct $A,B,C$. Not sure if this is in the spirit of the puzzle since I am using the fact that $1 \div 1 = 1$ and getting a set of pan digital sub-expressions which equal to 1. EDIT: I've added some other possibilities which don't bear as much ...


4

Partial answer that I'm saving for now (For convenience, I will call $PCRON$ "the root" and $PRINCETOM$ "the square". We can first deduce that the digit N We can also do some quick tests to find the approximate range Let's try that: We can then determine that C is


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