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SnokenKeekaGuard@lemmy.dbzer0.comM to Anti Meme@sopuli.xyz · 6 days ago

Double it and give it to the next person

lemmy.dbzer0.com

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  • cross-posted to:
  • funny@sh.itjust.works
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Double it and give it to the next person

lemmy.dbzer0.com

SnokenKeekaGuard@lemmy.dbzer0.comM to Anti Meme@sopuli.xyz · 6 days ago
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  • cross-posted to:
  • funny@sh.itjust.works
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  • Lvxferre [he/him]@mander.xyz
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    6 days ago

    Provided the world produced as much grain as in 2022, it would take ~seven centuries to fill the board.

    maths
    • 2⁰+2¹+2²+[…]+2⁶³ = 2⁶⁴-1 ≃ 2⁶⁴ = 1.84*10¹⁹ grains
    • A grain of rice weights 0.029g on average
    • (1.84*10¹⁹)*0.029g = 5.35*10¹⁷g = 5.35*10¹¹t
    • global rice production in 2022 was 776 461 457t, or 7.76*10⁸t
    • 5.35*10¹¹t / 7.76*10⁸t/year = 689 years

    It could be worse, I guess. At least it’s ten orders of magnitude lower than the mass of Earth. Now, if you were to use a go board…

  • riquisimo@lemmy.dbzer0.com
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    5 days ago

    Hi! I don’t know. I see the rice is being doubled on each square, but idk what this is referencing.

    • SnokenKeekaGuard@lemmy.dbzer0.comOPM
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      5 days ago

      Old tale

      https://en.wikipedia.org/wiki/Wheat_and_chessboard_problem

    • burntbacon@discuss.tchncs.de
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      5 days ago

      It’s an old story from the middle east (maybe part of the a thousand and one nights story?), I think, about a king who granted a favor to someone, only requiring that it be small. The philosopher/farmer/common-man hero had the humble request of filling a chess board with grains of rice, starting with one on the first tile, but doubling each time. Some variants, you’ll hear it as a gold coin. Anyone who does the math in their head, that’s 2^63 on the last tile, plus all the others (so 2^64-1), which is more grains of rice than probably exist, maybe more than ever have existed (1.84e19).

      Hmm, now I’m curious… but I see lvxferre has already done the math.

      • riquisimo@lemmy.dbzer0.com
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        5 days ago

        Thank you!

    • JackbyDev@programming.dev
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      5 days ago

      1 doubled 64 times is over 18 quintillion. 19 zeroes.

  • SnokenKeekaGuard@lemmy.dbzer0.comOPM
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    6 days ago

    Forgive the tiktok-ess title

    • MelodiousFunk@slrpnk.net
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      5 days ago

      *esque

      • SnokenKeekaGuard@lemmy.dbzer0.comOPM
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        5 days ago

        Actually meant to write ass

        • MelodiousFunk@slrpnk.net
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          5 days ago

        • JackbyDev@programming.dev
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          5 days ago

          I’m just glad you didn’t say ahh instead of ass.

          • SnokenKeekaGuard@lemmy.dbzer0.comOPM
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            5 days ago

            Hate that

  • Valmond@lemmy.world
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    6 days ago

    That in the story the ruler had the creator executed because he tried to be a smartass?

  • xxce2AAb@feddit.dk
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    6 days ago

    In the latter case, only if they’re the ones on the receiving end. And even then, the collapse of the global economy might present a problem. After all, everyone will be coming for their rice, guns in hand.

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