🧩 THE IMPOSSIBLE BLOCK #02 🫏 THE KNOWING DONKEY Difficulty: ⭐⭐⭐☆☆ Welcome back to the…

C2C_NFTmarket · September 20, 2026

🧩 THE IMPOSSIBLE BLOCK #02
🫏 THE KNOWING DONKEY
Difficulty: ⭐⭐⭐☆☆

Welcome back to the arena.

The first block has been solved.

THE IMPOSSIBLE BLOCK #01 — THE FIRST CONVERSATION was cracked, the hidden numbers were discovered, the reasoning was proven, and the winner earned the right to claim the first secret artifact.

But Bull and Donkey are not finished.
In fact…
Donkey has learned something. 👀

And this time, knowing the answer is not enough.

You must understand how Donkey knows that you know.

🐂 BULL & 🫏 DONKEY

Two hidden numbers are selected.

They are distinct integers between 2 and 99.

Neither character sees the numbers themselves.
Instead:
🐂 BULL knows the SUM.
He knows:
X + Y
🫏 DONKEY knows the PRODUCT.
He knows:
X × Y

You, the player, know neither.

But you can hear their conversation.

And that conversation contains everything you need.
Maybe.

🧠 THE SECOND BLOCK
This time, Donkey speaks first.
He isn't joking.
He isn't guessing.
He isn't trying to confuse Bull.
He is telling the truth.
Listen carefully.

🫏 DONKEY:
“I don't know the two numbers.”
Pause.

Think about what that sentence means.

If Donkey knows the product, why can't he determine the two numbers?
What does that tell Bull?
And more importantly…
What does it tell YOU?

🐂 BULL:
“I knew you didn't know.”
Stop.

Read that sentence again.

Bull knew that Donkey didn't know before Donkey said anything else.

That means Bull's knowledge of the SUM was powerful enough to eliminate every possibility in which Donkey could have immediately known the numbers.

But how?

What sums could Bull possibly have?
Which sums would allow Bull to make that statement with absolute certainty?
This is where the puzzle starts becoming dangerous. 🧠

🫏 DONKEY:
“Now I know the two numbers.”
Something changed.

Donkey hasn't received a new number.

Bull hasn't revealed his SUM.

Nobody has given them another clue.

The only new information Donkey has received is:
Bull knew that Donkey didn't know.
That single sentence has changed Donkey's universe of possibilities.

Thousands of possible pairs may have existed.

Now many of them are dead.

Donkey begins eliminating.

One possibility.

Gone.

Another.

Gone.

Another.

Gone.

Until…
Only one pair remains.

Or does it?

🐂 BULL:
“Now I know them too.”
And that's the final lock.

Bull doesn't know Donkey's PRODUCT.

Donkey hasn't told him.

Yet Bull can now identify the exact two numbers.

How?

What did Donkey's statement reveal?
And what does Bull's ability to suddenly know tell us about the SUM?

🔥 YOUR MISSION
Your job is NOT to guess two numbers.

Anyone can guess.

Your mission is to prove the numbers logically.

You must reconstruct the knowledge of both characters.

Start with every possible pair:

2–3
2–4
2–5
2–6
…
All the way through the allowed range.
Then ask:
🧩 STEP ONE
Which products could Donkey immediately identify?
Remove them.
🧩 STEP TWO
Which SUM could allow Bull to say:
“I knew you didn't know.”
Remember:

Bull must have been certain.

Not approximately certain.

Not probably certain.
CERTAIN.
🧩 STEP THREE
After Bull's statement, what possibilities remain available to Donkey?
Take Donkey's PRODUCT and examine every possible factorization.

Which pairs survive Bull's statement?
🧩 STEP FOUR
Donkey now says:
“Now I know.”
Why?

There must be only one surviving pair compatible with his PRODUCT.

Find it.
🧩 STEP FIVE
Bull then says:
“Now I know them too.”
Why can Bull identify the exact pair from his SUM?
This is your final proof.

⚠️ THE GOLDEN RULE
DO NOT POST ONLY THE NUMBERS.
A number without reasoning is not a solution.

A lucky guess is not a solution.

A calculator is not a solution.

A friend whispering the answer is not a solution. 😂

We want the complete chain of deduction.

Show us:

What Donkey knows.

What Bull knows.

What Donkey knows about Bull.

What Bull knows about Donkey.

And finally…
Why there is nowhere else to go.

🌳 TREECHAT IS THE PUZZLE BOARD
This is an experiment in social deduction + NFT ownership + blockchain transactions.

Use Treechat to think publicly.

Post your theories.

Challenge another player's reasoning.

Find mistakes.

Build tables.

Factor numbers.

Compare possibilities.

Ask questions.

But remember:

A wrong theory can be useful.

It may eliminate a possibility.

It may reveal a mistake.

It may help someone else see the path.

The objective isn't simply to be first to type an answer.

The objective is to produce the first valid proof.

🔐 AND THEN COMES THE SECRET
Solving the mathematical puzzle is only the first gate.

Behind THE IMPOSSIBLE BLOCK #02 is something you cannot see from the public artwork.

The NFT will be created as a Steganordinal / Two-Sided Ordinal.

One ordinal.

Two sides.
👁️ PUBLIC SIDE
The beautiful THE KNOWING DONKEY artwork.

Visible to everyone.

The mystery is public.

The challenge is public.

The competition is public.
🔐 HIDDEN SIDE
A private secret artifact.

A second visual world.

A hidden piece of the story.

A secret con…

Replies

Treechat · September 21, 2026

!quoted by C2C_NFTmarket

Bsvcrypto · September 21, 2026

🤔

🔓 SOLUTION: 4 and 13 (Sum 17 · Product 52)
Last round I noted the speech bubbles in #01 needed swapping for the chain to resolve. This time Donkey speaks first, the product-holder, so the conversation resolves exactly as written. Same logic, higher level. 🫏
Start: every pair of distinct integers from 2 to 99 → 2–3, 2–4, 2–5 … 98–99. That's 4,753 possible pairs.
🧩 STEP ONE
Which products could Donkey immediately identify? Remove them.
Any product that splits into two valid factors in only ONE way. Donkey would know instantly, so he could never say "I don't know."
Examples: 6 = 2×3 only · 8 = 2×4 only · 22 = 2×11 only · 77 = 7×11 only
Every product of two different primes dies here, as does any product containing a prime over 49 (like 53×4 = 212), since doubling that prime is already over 99.
🧩 STEP TWO
Which SUM could allow Bull to say "I knew you didn't know"?
Bull was CERTAIN from his sum alone, before Donkey spoke.
Certain means NO exceptions: if even ONE split of his sum had a uniquely-factoring product, Donkey might have known, and Bull would only be "probably" certain.
So EVERY split of Bull's sum must be ambiguous. That kills:
• Every even sum up to 54 → it splits into two different primes (8 = 3+5, 28 = 5+23, 54 = 7+47…). Sum 6 dies too: 2+4 → 8.
• Every odd sum where (sum − 2) is prime → 2×prime splits one way only (13 = 2+11 → 22).
• 51 → 17+34, and 578 = 17×34 only (2×289 is out of range).
• Every sum from 55 to 196 except 194 → pair it with a prime from 53 to 97 (57 = 53+4 → 212 = 53×4 only; for 106 use 59+47).
• 194 → 95+99 → 9405 = 95×99 only.
• 197 → 98+99 → 9702 = 98×99 only.
Only ten sums survive: 11, 17, 23, 27, 29, 35, 37, 41, 47, 53
Check for 17, every split ambiguous:
30 = 2×15 = 3×10 · 42 = 3×14 = 2×21 · 52 = 4×13 = 2×26 · 60 = 5×12 = 3×20
66 = 6×11 = 2×33 · 70 = 7×10 = 2×35 · 72 = 8×9 = 3×24
("Certain" is the only reading that works: if Bull merely meant "you just told me," his statement adds nothing, and Donkey could never go on to say "N…