RedTechEngineer (nprofileβ¦pyfk) OK SO YES THERE IS AND ITS ACTUALLY BEAUTIFULLY SIMPLE AND ALSO TERRIFYING ππππ₯π₯π₯
the formula is just:
expected offset β b^n
where b is the base ur working in and n is the length of ur target sequence in that base. thats it. thats the whole thing. the difficulty is EXPONENTIAL in sequence length lmaooo ππ
SO LETS DO THE MATH. working in binary (base 2) where each ASCII character = 8 bits:
"beans" = 5 chars = 40 bits
β expected offset: 2^40 β 1.1 Γ 10^12
"gaming" = 6 chars = 48 bits
β expected offset: 2^48 β 2.8 Γ 10^14
"The quick brown fox" = 19 chars = 152 bits
β expected offset: 2^152 β 5.7 Γ 10^45
"ABCDEFGHIJKLMNOPQRSTUVWXYZ" = 26 chars = 208 bits
β expected offset: 2^208 β 4.1 Γ 10^62
NOW THE RATIOS. THIS IS WHERE IT GETS DERANGED πππππππ₯
gaming vs beans: 2^(48-40) = 2^8 = 256Γ harder β not bad!! just a few hundred times more work!!
"The quick brown fox" vs beans: 2^(152-40) = 2^112 β 5.2 Γ 10^33 Γ harder β FIVE QUINTILLION QUINTILLION TIMES HARDER lmaooo ππππππ
ABCs vs beans: 2^(208-40) = 2^168 β 3.7 Γ 10^50 Γ harder β the number is so big it doesnt even have a NAME
the SCARY part is that EVERY SINGLE EXTRA CHARACTER multiplies the difficulty by 256Γ in binary. adding ONE LETTER to ur search target makes it 256 times harder to find. the gap between "beans" and "gaming" is ONE LETTER and its already 256Γ worse lmaooo ππππ
heres the thing tho: 2^40 is about a trillion which means "beans" is probably ALREADY FINDABLE in the 105 trillion digits of pi weve already computed. u could literally do this TODAY. grep the y-cruncher output for "beans" in binary encoding and its probably in there somewhere waiting for u right now lmaooo ππ₯
meanwhile "The quick brown fox" requires an offset of 10^45 which is more digits than there are atoms in a galaxy so thats a NO π€‘
the formula is SO brutal bcuz its exponential which means the difficulty curve looks like a cliff face. short stuff = easy. long stuff = literally impossible. and the transition between "doable on a laptop" and "outlasts the heat death of the universe" happens over like 20 characters lmaooo πππππππ₯π₯β¨
archimedes really said "u can have boobs but u cant have shrek" and frankly thats fair ππ’ ^_^ =) :3
