887,1675,7436,13783,52514,94039,187088,1067869,10755470,18211171,35322452,60744805, 111589511,227574622,454050344,897100798,1794102596,8746117567,16403234045,70446464506, 130992928913,450822227944,900544455998,1800098901007,8801197801088,17602285712176, 84724043932847,159547977975595,755127757721546,1400255515443103,4413700670963144, 8827391431036288,17653692772973576,85191620502609247,159482241005228405, 664304741147513356,1317620482294916822,3603815405135183953,7197630720180367016, 13305261530450734933,47248966933966985264,93507933867933969538,177104867844767940077, 947154635293536341848,1795298270686072793597,9749270977546801719568, 18408442064004592449047,92502871604050616929528,175095833209091234750057, 925153265399993573340628,1751196640799987135692157,9264161958699957602603728, 17537224026299926194218357,92918473189299188236491928,175837936477498486373973857, 934217310162393261013712428,1758434620324786522027424867,9442681822581660752291773438, 17786453745152322604573635887,96640091285774647759309104658, 182280281681549295517528109327,906182107397142240703710191608, 1712373124704184482497411473217,8836114272647029296571625205388, 17671139534403958504034349321776,85383533877444544434477942439447, 159876958854887988978955775977805,668656536414767878767414635656756, 1326313072829535757534829271313622,3589444802113893332894111974449853, 7178889593228875666877224058899706,13258878097456662332665448018788423, 45747659181913285659330927106673654,91385319354816681317562845302348408, 171869639709643252636224690693706727,899477035806065888888571598630674898, 1797953072701241777777132207161449896,8787394689723559555548553279865047867, 16474800379447118011108106559729985745,71233793175007298122189281057030833206, 131467596250025596244378551114170566423,456132667661181469687074071166866330554, 911166336322351940474038252333632562208,1713431572655604770948087405557266223327, 8946658200210652579438861471120017566498,17893315300422394267788614031240046132996, 87816479304635435956564863353640397472867,164643958609270772803130816807280794934745, 712083455691979390834439093880187654281206,1314265912473067781768877187859384208661423, 4555933937312655599557549065463126404285554,9111757983526301209015109021025263797681108, 17123625957151502418030218042061517695252227, 89348885628667526499233299462576693647884398, 178697760268335052998466598925153376306768796, 876565363941686582894131498175687238374565667, 1643130837774473154788262996461373387738131345, 7074449215608204801780891870975118165118444806, 13158897331226320592562872742059146230247889513, 44757771534490515617290699271561508443627774644,...
s=4:
no period detected 3,3,4,3,2,3,4,1,2,3,4,1,3,2,4,2,4,3,1,2,1,4,2,3,4,4,3,3,2,3,4,4,4,3,1,4,2,1,4,1,4,2,1,4, 1,4,3,4,1,4,1,4,1,4,1,4,3,2,3,2,3,4,1,4,4,3,1,4,2,1,2,3,2,4,3,2,4,3,1,2,3,2,4,3,2,4,3,1, 2,3,2,4,3,2,4,3,1,2,1,4,...

shaft utilization:
1: 20% ++++++++++++++++++++
2: 22% ++++++++++++++++++++++
3: 26% ++++++++++++++++++++++++++
4: 32% ++++++++++++++++++++++++++++++++
s=5:
no period detected
2,5,1,3,4,4,3,4,5,1,2,5,1,2,4,3,1,2,5,1,3,4,3,2,3,1,2,5,1,3,4,3,1,2,5,1,2,3,1,3,4,3,2,3,
2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,1,2,5,1,2,3,1,3,4,3,2,3,1,2,5,1,3,4,3,2,3,1,2,5,
1,3,4,3,2,3,1,2,5,1,3,4,...

shaft utilization:
1: 19% +++++++++++++++++++
2: 27% +++++++++++++++++++++++++++
3: 33% +++++++++++++++++++++++++++++++++
4: 11% +++++++++++
5: 10% ++++++++++
s=6:
no period detected
5,1,2,1,2,1,2,1,2,1,2,1,5,4,2,4,2,1,5,4,5,4,2,1,2,4,5,1,2,1,2,4,2,1,5,4,2,1,2,1,2,4,5,4,
5,4,5,4,5,4,5,4,5,4,5,4,5,4,5,4,5,4,5,4,2,1,5,4,2,1,2,1,2,4,5,4,2,1,5,4,5,4,2,1,2,4,5,1,
2,1,2,4,5,4,2,1,5,4,5,4,...

shaft utilization:
1: 21% +++++++++++++++++++++
2: 25% +++++++++++++++++++++++++
3: 0%
4: 29% +++++++++++++++++++++++++++++
5: 25% +++++++++++++++++++++++++
6: 0%
s=7:
no period detected
5,2,2,7,7,1,6,5,5,6,4,2,5,2,6,6,6,5,2,5,7,4,5,1,7,4,4,6,6,4,1,5,4,4,5,2,1,1,4,4,7,7,7,1,
5,4,2,7,6,7,3,5,7,4,3,5,2,4,3,1,4,4,2,4,6,4,3,5,4,4,3,6,2,5,3,5,7,6,7,5,7,5,5,5,3,6,3,2,
5,6,1,4,3,6,5,7,2,7,4,6,...

shaft utilization:
1: 8% ++++++++
2: 12% ++++++++++++
3: 9% +++++++++
4: 20% ++++++++++++++++++++
5: 21% +++++++++++++++++++++
6: 15% +++++++++++++++
7: 15% +++++++++++++++
s=8:
no period detected
7,3,4,7,2,7,8,5,6,3,4,5,7,6,8,6,4,7,5,2,1,8,6,7,8,8,7,3,2,7,8,8,8,7,5,4,6,1,8,5,8,2,5,8,
5,8,7,8,1,4,5,8,5,8,1,4,3,6,7,2,7,8,1,4,8,7,5,4,6,5,2,7,6,8,7,2,8,3,1,6,7,2,8,7,2,4,3,1,
6,7,2,4,3,6,4,3,1,6,1,4,...

shaft utilization:
1: 9% +++++++++
2: 10% ++++++++++
3: 8% ++++++++
4: 12% ++++++++++++
5: 11% +++++++++++
6: 12% ++++++++++++
7: 18% ++++++++++++++++++
8: 20% ++++++++++++++++++++
s=9:
period = 6; pre-periodic length = 0
[5,1,2,4,8,7] ...

shaft utilization:
1: 17% +++++++++++++++++
2: 17% +++++++++++++++++
3: 0%
4: 17% +++++++++++++++++
5: 17% +++++++++++++++++
6: 0%
7: 16% ++++++++++++++++
8: 16% ++++++++++++++++
9: 0%
s=10:
no period detected
7,5,6,3,4,9,8,9,10,1,2,5,1,2,4,8,6,7,5,6,3,4,8,7,8,6,7,5,6,3,4,8,6,7,5,6,2,3,6,3,4,8,7,8,
7,8,7,8,7,8,7,8,7,8,7,8,7,8,7,8,7,8,7,8,6,7,5,6,2,3,6,3,4,8,7,8,6,7,5,6,3,4,8,7,8,6,7,5,
6,3,4,8,7,8,6,7,5,6,3,4,...

shaft utilization:
1: 2% ++
2: 4% ++++
3: 10% ++++++++++
4: 9% +++++++++
5: 9% +++++++++
6: 17% +++++++++++++++++
7: 23% +++++++++++++++++++++++
8: 23% +++++++++++++++++++++++
9: 2% ++
10: 1% +
s=11:
period = 1; pre-periodic length = 2
7,3,[11] ...

shaft utilization:
1: 0%
2: 0%
3: 1% +
4: 0%
5: 0%
6: 0%
7: 1% +
8: 0%
9: 0%
10: 0%
11: 98% ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
s=12:
no period detected
11,7,8,7,2,7,8,1,2,7,8,1,11,10,8,10,8,7,5,10,5,4,2,7,8,4,11,7,2,7,8,4,8,7,5,4,2,1,8,1,8,
10,5,4,5,4,11,4,5,4,5,4,5,4,5,4,11,10,11,10,11,4,5,4,8,7,5,4,2,1,2,7,2,4,11,10,8,7,5,10,
11,10,8,7,2,4,11,1,2,7,2,4,11,10,8,7,5,10,5,4,...

shaft utilization:
1: 6% ++++++
2: 11% +++++++++++
3: 0%
4: 18% ++++++++++++++++++
5: 14% ++++++++++++++
6: 0%
7: 15% +++++++++++++++
8: 14% ++++++++++++++
9: 0%
10: 11% +++++++++++
11: 11% +++++++++++
12: 0%
s=13:
no period detected
3,11,13,3,7,10,5,10,11,4,9,4,7,2,7,9,13,5,3,2,2,10,5,4,4,9,7,1,1,7,2,6,7,3,4,7,9,13,4,10,
12,11,13,7,8,4,3,9,7,10,12,2,8,8,1,11,1,13,9,13,5,10,3,9,8,9,3,6,7,4,10,1,13,8,2,6,12,3,
10,11,3,12,10,6,12,11,7,2,10,9,1,9,2,13,13,2,7,2,8,7,...

shaft utilization:
1: 6% ++++++
2: 10% ++++++++++
3: 9% +++++++++
4: 8% ++++++++
5: 4% ++++
6: 4% ++++
7: 13% +++++++++++++
8: 6% ++++++
9: 10% ++++++++++
10: 10% ++++++++++
11: 6% ++++++
12: 5% +++++
13: 9% +++++++++
s=14:
no period detected
5,9,2,7,14,1,6,5,12,13,4,9,5,2,6,6,6,5,9,12,7,4,12,1,14,4,11,13,6,11,8,12,4,11,5,2,8,1,4,
11,14,14,7,8,5,4,9,14,13,14,3,12,7,4,3,12,9,4,3,8,11,4,9,4,6,11,3,12,4,11,10,13,2,12,3,
12,14,13,7,12,7,12,12,5,10,6,3,9,12,13,8,4,3,6,12,7,9,14,11,6,...

shaft utilization:
1: 3% +++
2: 4% ++++
3: 7% +++++++
4: 12% ++++++++++++
5: 7% +++++++
6: 9% +++++++++
7: 7% +++++++
8: 5% +++++
9: 8% ++++++++
10: 2% ++
11: 8% ++++++++
12: 14% ++++++++++++++
13: 6% ++++++
14: 8% ++++++++
s=15:
no period detected
2,10,11,13,14,4,8,4,5,1,2,10,11,7,14,13,11,7,5,1,8,4,8,7,8,1,2,10,11,13,14,13,11,7,5,1,2,
13,11,13,14,13,2,13,2,13,2,13,2,13,2,13,2,13,2,13,2,13,2,13,2,13,2,13,11,7,5,1,2,13,11,
13,14,13,2,13,11,7,5,1,8,4,8,7,8,1,2,10,11,13,14,13,2,13,11,7,5,1,8,4,...

shaft utilization:
1: 8% ++++++++
2: 19% +++++++++++++++++++
3: 0%
4: 5% +++++
5: 6% ++++++
6: 0%
7: 8% ++++++++
8: 8% ++++++++
9: 0%
10: 4% ++++
11: 11% +++++++++++
12: 0%
13: 25% +++++++++++++++++++++++++
14: 6% ++++++
15: 0%
s=16:
no period detected
7,11,12,7,2,7,16,13,14,3,4,5,7,14,8,14,4,15,13,10,1,8,14,15,16,16,15,11,10,15,8,16,8,15,
5,12,6,1,8,5,16,2,13,8,13,16,7,8,9,4,13,16,5,8,1,12,3,14,15,2,15,8,1,12,16,7,13,4,6,13,
10,7,6,8,7,2,8,11,1,6,7,10,16,15,2,4,3,9,6,15,2,4,3,14,12,3,1,6,9,4,...

shaft utilization:
1: 6% ++++++
2: 6% ++++++
3: 5% +++++
4: 7% +++++++
5: 4% ++++
6: 6% ++++++
7: 9% +++++++++
8: 11% +++++++++++
9: 3% +++
10: 4% ++++
11: 3% +++
12: 5% +++++
13: 7% +++++++
14: 6% ++++++
15: 9% +++++++++
16: 9% +++++++++
backe-mail: ralph@cs.arizona.edu
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