2,4,8,16,77,154,605,1111,2222,4444,8888,17776,85547,160105,661166,1322332,3654563, 7309126,13528163,49710694,99312488,187733887,976071668,1842242347,9274664828,17559329557, 93151725128,175304440267,937348843838,1775697687577,9533565653348,17967131306707, 88727444483678,176365888956466,841025777520137,1572051555040285,7392457106543036, 13695913124085973,51653955256045604,92308020511981219,183526932014061548, 1028687342253686929,10325550864691555130,13481070511497107431,26951249923004125862, 53803389955998341824,96617779911996672659,192245449823994444328,1015689949152938986619, 10182588341672438851720,12898471769286827379821,25795844637583544869642, 50492689176157189729394,99885487351324388358799,199670875693639766817698, 1096389543630036344894689,10961373979930399804731590,20475114879234397742048491, 39959139658577695583205893,79809378218255281276401886,148619845436510562563792783, 535917210701526197112709624,962824422493151304125429159,1914748943896302698349857428, 10162338382858339681848331619,101775723201551725510231657720, 129531855217078880612559234821,257964810433167751325117370742, 505038521956325512659135840494,999087053912541036318261670999, 1998163216726171181537612451998,10989705384077982897813736070989, 109896769115957811874862086869890,208865449384435930634374054568791, 406730899857871970168857999137593,802462899616733049347616997175197, 1594034699233476989685233995439405,6643380692559346886428563959744356, 13177860286217593772868116920577822,36055363247404421512439385127454953, 72000835405797843024879859363810016,133002671801695685059759609817610043, 473019390708653635646355717993810374,946037790426207282182712525087720748, 1793065570951424563465415149185451397,9724611390366570207119656739941055368, 18360112889743139324140413370872219647,93051340697074543466533548169693326028, 175113680393259077032968095249297641067,935260473335849946263739047642383952638, 1771519856582590883626388996175758015177,9486628432299589719890269949032347166948, 17983245864609089340879449808954695433797,97716705510589983838683847899601549672768, 184444400021289858677367686898103100434547,929878401323188545441144545880223104879028, 1750856802645277090882289091761546209757957,9348435829096949000705169999487008296338528, 17606772757104799000320240008983917581686967, 94575391329043779004522540108724093309447638,...
s=4:
no period detected 2,4,4,4,1,2,1,3,2,4,4,4,3,1,2,4,3,2,3,2,4,3,4,3,4,1,4,3,2,1,4,3,2,2,1,1,4,1,4,3,4,1,2,3, 2,4,3,4,3,4,1,2,2,3,2,1,2,3,1,2,3,4,3,4,3,4,1,2,2,3,2,1,2,3,1,1,1,4,2,1,4,3,2,4,1,4,3,4, 3,2,1,4,1,4,3,4,1,4,3,2,...
shaft utilization:
1: 22% ++++++++++++++++++++++
2: 24% ++++++++++++++++++++++++
3: 24% ++++++++++++++++++++++++
4: 30% ++++++++++++++++++++++++++++++
s=5:
no period detected
2,4,3,1,2,4,5,1,2,4,3,1,2,5,1,2,3,1,3,4,3,2,3,2,3,2,3,2,3,2,3,2,3,1,2,5,1,3,4,4,3,4,5,1,
2,4,4,3,4,5,1,2,4,4,3,4,5,1,3,1,3,4,4,3,4,5,1,2,4,4,3,4,5,1,3,2,5,1,2,3,1,3,4,3,2,3,2,3,
2,3,2,3,2,3,2,3,2,3,2,3,...
shaft utilization:
1: 15% +++++++++++++++
2: 25% +++++++++++++++++++++++++
3: 31% +++++++++++++++++++++++++++++++
4: 20% ++++++++++++++++++++
5: 9% +++++++++
s=6:
no period detected
2,4,2,4,5,4,5,1,2,4,2,4,5,1,2,4,5,4,5,4,2,1,2,1,2,1,2,1,2,1,2,1,2,4,5,1,2,1,2,1,2,1,2,1,
2,4,5,4,5,4,5,4,2,1,2,1,2,1,5,4,5,4,5,4,5,4,5,4,2,1,2,1,2,1,5,1,5,4,2,1,2,1,2,4,5,4,5,4,
5,4,5,4,5,4,5,4,5,4,5,4,...
shaft utilization:
1: 22% ++++++++++++++++++++++
2: 26% ++++++++++++++++++++++++++
3: 0%
4: 28% ++++++++++++++++++++++++++++
5: 24% ++++++++++++++++++++++++
6: 0%
s=7:
no period detected
2,4,1,2,7,7,3,5,3,6,5,3,7,1,2,4,3,6,5,5,2,5,5,1,2,7,7,5,1,2,2,2,7,6,6,4,3,4,7,1,3,2,1,3,
3,4,1,3,7,1,4,3,4,7,3,1,1,5,1,4,6,1,7,2,6,5,1,7,6,1,7,1,6,3,7,6,7,6,5,4,5,1,4,7,5,1,4,7,
4,1,6,6,3,3,7,3,4,7,5,2,...
shaft utilization:
1: 18% ++++++++++++++++++
2: 11% +++++++++++
3: 15% +++++++++++++++
4: 13% +++++++++++++
5: 13% +++++++++++++
6: 12% ++++++++++++
7: 18% ++++++++++++++++++
s=8:
no period detected
2,4,8,8,5,2,5,7,6,4,8,8,3,1,6,4,3,6,3,6,8,7,4,3,4,5,8,3,6,1,4,3,6,2,1,5,4,5,4,3,4,1,2,7,
6,8,3,8,3,8,5,2,2,7,2,1,6,3,5,6,7,8,7,4,3,8,5,6,6,7,6,5,2,7,1,5,5,4,6,1,8,3,6,4,5,8,7,4,
3,6,1,4,5,8,3,4,5,8,7,6,...
shaft utilization:
1: 8% ++++++++
2: 8% ++++++++
3: 14% ++++++++++++++
4: 15% +++++++++++++++
5: 14% ++++++++++++++
6: 16% ++++++++++++++++
7: 10% ++++++++++
8: 15% +++++++++++++++
s=9:
period = 6; pre-periodic length = 0
[2,4,8,7,5,1] ...
shaft utilization:
1: 16% ++++++++++++++++
2: 17% +++++++++++++++++
3: 0%
4: 17% +++++++++++++++++
5: 16% ++++++++++++++++
6: 0%
7: 17% +++++++++++++++++
8: 17% +++++++++++++++++
9: 0%
s=10:
no period detected
2,4,8,6,7,4,5,1,2,4,8,6,7,5,6,2,3,6,3,4,8,7,8,7,8,7,8,7,8,7,8,7,8,6,7,5,6,3,4,9,8,9,10,1,
2,4,9,8,9,10,1,2,4,9,8,9,10,1,3,6,3,4,9,8,9,10,1,2,4,9,8,9,10,1,3,7,5,6,2,3,6,3,4,8,7,8,
7,8,7,8,7,8,7,8,7,8,7,8,7,8,...
shaft utilization:
1: 6% ++++++
2: 7% +++++++
3: 8% ++++++++
4: 10% ++++++++++
5: 4% ++++
6: 9% +++++++++
7: 18% ++++++++++++++++++
8: 23% +++++++++++++++++++++++
9: 10% ++++++++++
10: 5% +++++
s=11:
period = 1; pre-periodic length = 4
2,4,8,5,[11] ...
shaft utilization:
1: 0%
2: 1% +
3: 0%
4: 1% +
5: 1% +
6: 0%
7: 0%
8: 1% +
9: 0%
10: 0%
11: 96% ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
s=12:
no period detected
2,4,8,4,5,10,5,7,2,4,8,4,11,1,2,4,11,10,11,10,8,7,8,7,8,1,8,7,2,1,8,7,2,10,5,1,8,1,8,7,8,
1,2,7,2,4,11,4,11,4,5,10,2,7,2,1,2,7,5,10,11,4,11,4,11,4,5,10,2,7,2,1,2,7,5,1,5,4,2,1,8,
7,2,4,5,4,11,4,11,10,5,4,5,4,11,4,5,4,11,10,...
shaft utilization:
1: 10% ++++++++++
2: 15% +++++++++++++++
3: 0%
4: 19% +++++++++++++++++++
5: 12% ++++++++++++
6: 0%
7: 12% ++++++++++++
8: 11% +++++++++++
9: 0%
10: 9% +++++++++
11: 12% ++++++++++++
12: 0%
s=13:
no period detected
2,4,8,3,12,11,7,6,12,11,9,5,7,10,12,11,3,6,12,7,2,3,13,10,13,3,7,8,4,8,9,11,13,1,1,7,8,1,
7,10,3,8,1,3,13,9,5,9,4,2,9,11,3,11,11,3,1,10,13,9,11,3,3,9,2,6,8,12,13,13,9,7,2,9,8,3,1,
13,6,10,6,5,6,1,11,2,11,1,9,13,1,10,1,5,7,11,2,2,13,7,...
shaft utilization:
1: 10% ++++++++++
2: 8% ++++++++
3: 11% +++++++++++
4: 3% +++
5: 4% ++++
6: 6% ++++++
7: 9% +++++++++
8: 7% +++++++
9: 10% ++++++++++
10: 6% ++++++
11: 11% +++++++++++
12: 5% +++++
13: 10% ++++++++++
s=14:
no period detected
2,4,8,2,7,14,3,5,10,6,12,10,7,1,2,4,3,6,5,12,2,5,12,1,2,7,14,5,8,9,2,9,14,6,13,11,10,11,
14,1,10,9,8,3,10,4,1,10,7,8,11,10,4,7,10,1,8,5,1,4,13,8,7,2,13,12,1,14,6,1,14,1,6,3,7,13,
7,6,12,11,12,1,4,14,5,8,11,14,11,8,13,6,3,10,7,10,11,14,5,2,...
shaft utilization:
1: 10% ++++++++++
2: 8% ++++++++
3: 5% +++++
4: 6% ++++++
5: 7% +++++++
6: 7% +++++++
7: 9% +++++++++
8: 8% ++++++++
9: 3% +++
10: 10% ++++++++++
11: 7% +++++++
12: 6% ++++++
13: 5% +++++
14: 9% +++++++++
s=15:
no period detected
2,4,8,1,2,4,5,1,2,4,8,1,2,10,11,7,8,1,8,4,8,7,8,7,8,7,8,7,8,7,8,7,8,1,2,10,11,13,14,4,8,
4,5,1,2,4,14,13,14,10,11,7,14,4,8,4,5,1,8,1,8,4,14,13,14,10,11,7,14,4,8,4,5,1,8,7,5,1,2,
13,11,13,14,13,2,13,2,13,2,13,2,13,2,13,2,13,2,13,2,13,...
shaft utilization:
1: 10% ++++++++++
2: 15% +++++++++++++++
3: 0%
4: 12% ++++++++++++
5: 5% +++++
6: 0%
7: 10% ++++++++++
8: 17% +++++++++++++++++
9: 0%
10: 4% ++++
11: 5% +++++
12: 0%
13: 14% ++++++++++++++
14: 8% ++++++++
15: 0%
s=16:
no period detected
2,4,8,16,13,10,13,7,14,12,8,16,11,9,14,12,3,6,3,6,8,15,4,11,12,5,8,11,14,9,4,3,14,2,9,13,
12,5,4,3,12,1,10,7,6,16,3,8,11,8,13,10,2,15,2,1,6,11,5,14,15,8,7,4,3,8,5,6,14,7,14,13,2,
7,9,13,13,4,14,9,16,11,6,12,5,8,15,12,11,14,9,4,5,16,3,4,5,16,7,6,...
shaft utilization:
1: 2% ++
2: 5% +++++
3: 7% +++++++
4: 8% ++++++++
5: 7% +++++++
6: 7% +++++++
7: 6% ++++++
8: 9% +++++++++
9: 6% ++++++
10: 3% +++
11: 7% +++++++
12: 7% +++++++
13: 7% +++++++
14: 9% +++++++++
15: 4% ++++
16: 6% ++++++
backe-mail: ralph@cs.arizona.edu
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