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BGonline.org Forums
Wastage in the one-checker model
Posted By: Rich Munitz In Response To: Wastage in the one-checker model (Sam Pottle)
Date: Wednesday, 5 May 2010, at 4:38 a.m.
An exact computation of single checker wastage for each pipcount pretty clearly shows convergence to 33/7 (4.71428...).
Here is wastage for all pipcounts up to 100:
Pips Wastage 0 0.00000 1 7.16667 2 6.16667 3 5.16667 4 4.62037 5 4.30093 6 4.20833 7 4.14095 8 4.57767 9 4.86947 10 5.03034 11 4.89363 12 4.91972 13 4.87814 14 4.70830 15 4.64258 16 4.62553 17 4.84196 18 4.78903 19 4.71762 20 4.65010 21 4.79669 22 4.71150 23 4.62704 24 4.60030 25 4.79575 26 4.76234 27 4.70939 28 4.71258 29 4.71050 30 4.70189 31 4.68492 32 4.70887 33 4.72890 34 4.72535 35 4.71297 36 4.71408 37 4.72452 38 4.71192 39 4.70589 40 4.70598 41 4.72378 42 4.71873 43 4.71224 44 4.71074 45 4.71987 46 4.71522 47 4.70980 48 4.71113 49 4.71757 50 4.71598 51 4.71292 52 4.71436 53 4.71532 54 4.71408 55 4.71265 56 4.71387 57 4.71552 58 4.71464 59 4.71379 60 4.71400 61 4.71511 62 4.71425 63 4.71369 64 4.71389 65 4.71489 66 4.71449 67 4.71401 68 4.71415 69 4.71462 70 4.71433 71 4.71400 72 4.71420 73 4.71449 74 4.71434 75 4.71416 76 4.71428 77 4.71440 78 4.71428 79 4.71418 80 4.71426 81 4.71438 82 4.71430 83 4.71424 84 4.71427 85 4.71434 86 4.71429 87 4.71424 88 4.71427 89 4.71432 90 4.71429 91 4.71426 92 4.71428 93 4.71431 94 4.71429 95 4.71427 96 4.71428 97 4.71430 98 4.71429 99 4.71428 100 4.71429
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