Blog: 2025-10-24

find a partner

think of a number between 1 and 10

your partner tries to guess your number

you tell them "yes" or "no" only.

but you do it with rounds. GO ahead

How many guesses did it take?

Did you not count? let's try again, this time I'll count the rounds.
New partner, Come up with a new number.

How many guesses did it take?

Second game variation. You tell them if it's too high, too low, or correct.

Let's do it with rounds.

How many guesses did it take?

I have a secret...

I am the best at this game. I can guess any number in 10 guesses or less.

Go ahead, think of a number.

Is it 1?
Is it 2?
...

See I told you I mastered this game.

What, you don't think I mastered it? Let's try the other version. Pick a number between 1 and 10.
I'll get it in 4 guesses or less.
5 +- 3 +- 2 +- 1

10 -> 5 8 10
9 -> 5 8 10 9
8 -> 5 8
7 -> 5 8 6 7
6 -> 5 8 6
5 -> 5
4 -> 5 2 4
3 -> 5 2 4 3
2 -> 5 2
1 -> 5 2 0 1
0 -> 5 2 0

That was too easy! Let's let you choose between 1 and 100. This time it will take me 7 guesses or less.

100 64 96 112 104 100 What? I never said I couldn't guess over 100...
99 64 96 112 104 100 98 99


Ok now I'm going to give you the numbers, and you're going to tell me higher or lower.

427 256 384 448 416 432 424 428 426 427
298 256 384 320 288 304 296 300 298
427 256 384 448 416 432 424 428 426 427
169 256 128 192 160 176 168 172 170 169
443 256 384 448 416 432 440 444 442 443

(extra: 256)
256 256
100000000

110101011 427 256 384 448 416 432 424 428 426 427
100101010 298
110101011 427
010101001 169
110111011 443

ok now you're going to draw your own pixel arts with graph paper. I'll show some examples on this paper