Hi Thibaut,
Thanks for taking the time to look into this for me. Good luck on
finishing your dissertation. I too am trying to finish, so I completely
understand your stress and need to prioritize.
I've attached 4 example input files (for two sets of analyses) and my R
program. I should explain that my program is designed to take
geographic coordinates and genetic distance matrices from a companion
C++ program that has generated many bootstrapped replicates of the
original data (within orig_coord.input and orig_dist.input). I've
commented out the loop and just provided you with one of the
bootstrapped datasets to give you an example. For most of the datasets,
there is no problem, but for a few I get the checkNext error. And this
occurs with both the optimize.monmonier() and monmonier() function.
Occasionally I get different error generation with the two functions, so
I included both in the code for you. I hope that this is not too
painful to debug.
Let me know if you need any other information.
Best wishes,
--Erica
Thibaut Jombart wrote:
Yi-Hsin Erica Tsai wrote:
Hi,
I have been using your adegenet R package to compute some Monmonier
boundaries. For the most part, the package behaves excellently and
does what I need it to do. However, in many of my runs I encounter
these same errors:
> orig_mon <- optimize.monmonier(coords, Da, cn, threshold=0)
Boundaries computed (required: 10)
1 Error in
checkNext(result[[run]]$dir1[[length(result[[run]]$dir1)]]$M, :
CheckAllSeg failure (returned value=10, i.e. unchanged, not
computed). Please report the bug.
or
> mon <- monmonier(coords, Da, cn, threshold=0, nrun=1,
skip.local.diff = rep(1, 1))
Error in checkNext(result[[run]]$dir1[[length(result[[run]]$dir1)]]$M, :
CheckAllSeg failure (returned value=10, i.e. unchanged, not
computed). Please report the bug.
Do you have any idea what is causing this? Or how can I fix this
problem? I can send you my input data and code if that is helpful.
Best,
--Erica Tsai
Dear Erica,
thanks very much for reporting the bug.This apparently comes from the C
code used to check whether two segments intersect or not, meaning, it's
going to be a pain de debug. ;-) I would indeed need a sample input data
along with the code generating the bug. Can you also check that you are
using the latest version of adegenet ? You can find it from:
https://r-forge.r-project.org/R/?group_id=120
this is the devel version, but it is as stable as the previous version.
If the bug persists in the most recent version, I'll do my best to fix
it ASAP. But I defend my PhD soon, meaning I might not have time for
debuging. Anyhow, I will try to help, there might be other
methodological approaches that you could use instead of monmonier (in
the worst case).
Best,
Thibaut.
X Y
p0 -89.0311 34.3384
p1 -87.6552 34.5483
p2 -93.0393 39.6296
p3 -93.2925 34.496
p4 -84.8857 42.1998
p5 -85.3305 38.4027
p6 -89.9049 32.2554
p7 -92.3323 38.4949
p8 -92.8899 39.0059
p9 -67.1444 38.5308
p10 -75.6451 46.1659
p11 -88.6459 32.3621
p12 -66.5537 42.9626
p13 -67.5288 34.003
p14 -87.7968 44.4734
p15 -70.0515 37.0327
p16 -91.3187 32.1164
p17 -76.2884 32.7725
p18 -75.9968 41.1327
p19 -83.911 46.0539
p20 -83.3281 41.3248
p21 -81.3413 39.0665
p22 -72.7547 38.8173
p23 -93.5288 43.3597
p24 -93.0662 46.1723
p25 -85.877 41.6247
p26 -67.41 38.3368
p27 -72.036 45.5491
p28 -86.9218 42.3802
p29 -90.0102 38.2261
p30 -77.1043 46.5183
p31 -69.7878 41.7878
p32 -91.6317 38.6964
p33 -71.0223 42.2373
p34 -89.5206 33.6854
p35 -74.5634 39.284
p36 -70.2271 33.1359
p37 -92.134 40.4471
p38 -75.6307 32.0343
p39 -82.4898 41.6329
p40 -92.3884 41.8196
p41 -83.4605 30.933
p42 -88.942 33.3668
p43 -67.6255 37.5781
p44 -68.9248 32.1566
p45 -68.8237 38.7231
p46 -91.5607 42.9196
p47 -88.3155 33.4319
p48 -86.3621 31.1936
p49 -69.0623 37.5674
p50 -88.1345 40.0828
p51 -66.9727 31.7458
p52 -73.3938 31.3243
p53 -75.2069 37.0284
p54 -90.8219 32.122
p55 -91.5848 33.4218
p56 -72.1159 38.0412
p57 -89.0611 45.9546
p58 -76.5942 32.6935
p59 -82.9741 39.0116
p60 -88.1857 35.4594
p61 -93.2226 35.3815
p62 -92.0837 34.3679
p63 -81.1802 36.1173
p64 -86.9282 36.3393
p65 -72.5699 38.0313
p66 -67.7316 42.3928
p67 -79.4768 41.4973
p68 -72.5127 33.8267
p69 -91.8244 44.6666
p70 -86.2438 33.3093
p71 -92.5973 31.7469
p72 -76.6958 34.2998
p73 -93.281 34.6151
p74 -84.3974 37.3567
p75 -72.6725 39.4342
p76 -74.1053 43.218
p77 -70.5708 43.0517
p78 -93.4855 35.4858
p79 -90.6871 35.004
p80 -75.8569 44.7105
p81 -73.7178 40.1038
p82 -76.663 34.6691
p83 -86.3884 36.9428
p84 -81.7417 36.2492
p85 -86.3738 42.0353
p86 -79.8633 35.8202
0 0.109683 1.68119 0.0929361 2.50654 0.636777 0.045637 0.154435 0.366196 -2.02094 2.86979 0.223166 3.40499 -2.02094 3.09126 -2.02094 0.0847061 5.04491 3.00167 3.1204 1.88092 0.976524 2.8937 -2.02094 -2.02094 2.04884 -2.02094 3.21373 2.39219 0.726866 2.94784 3.1294 0.207308 3.00482 0.0437266 3.07831 -2.02094 0.723744 5.87268 2.29129 -2.02094 0.66492 0.0576757 -2.02094 -2.02094 3.08587 3.24003 0.211763 0.536239 2.82119 1.29455 -2.02094 -2.02094 0.71131 0.0639565 0.0836698 3.41914 3.08574 2.85719 1.17771 0.0452955 0.135896 0.177669 0.448872 0.0746829 2.9788 3.20726 2.92512 -2.02094 3.80885 0.085481 0.190716 1.40509 0.0965787 0.245544 2.92145 3.14552 3.15053 0.128488 0.0363341 2.94844 3.06705 1.34984 0.382228 0.283436 2.98616 1.24819
0.109683 0 1.63927 0.179816 2.11137 0.347803 0.10952 0.0920035 0.476852 -2.6411 2.62073 0.0408065 3.14463 -2.6411 2.81399 -2.6411 0.110643 3.99097 2.72413 2.85075 1.53609 0.745549 2.60722 -2.6411 -2.6411 1.60138 -2.6411 2.94881 1.94239 0.345351 2.67948 2.85873 0.125041 2.72778 0.0649912 2.78579 -2.6411 1.07852 4.75142 2.0372 -2.6411 0.394263 0.091587 -2.6411 -2.6411 2.81422 2.96656 0.0394244 0.301277 2.52413 0.842953 -2.6411 -2.6411 0.399979 0.0427812 0.0795619 3.16099 2.81228 2.03724 0.901616 0.0597133 0.170681 0.151351 0.288758 0.0396267 2.69912 2.92573 2.64483 -2.6411 3.49908 0.0226276 0.0499048 0.849119 0.181925 0.120121 2.63785 2.87705 2.88152 0.114022 0.109 2.68103 2.79411 0.84175 0.145976 0.15457 2.45795 0.890368
1.68119 1.63927 0 1.5085 5.67116 2.16298 1.3298 1.2275 0.591716 0 6.1042 1.41916 6.7037 0 6.35316 0 1.40892 7.78926 6.26297 6.39889 4.3942 2.85077 6.13556 0 0 4.61925 0 6.5025 5.37262 2.07149 6.19951 6.40565 1.0325 6.26722 2.04108 6.35652 0 4 9 5.00467 0 3.29412 1.72545 0 0 6.36 6.5102 1.87679 3.14478 6.04 3.51598 0 0 2.61724 1.89857 1.22378 6.72266 6.35592 4.55325 3.19709 1.85599 1.32781 0.982041 2.03307 1.79849 6.23546 6.45988 6.17663 0 7 1.87568 1.41396 2.94122 1.75227 1.62371 6.16955 6.42656 6.4304 1.49745 1.5935 6.20042 6.33837 3.28731 1.92374 1.82097 6.29106 3.59747
0.0929361 0.179816 1.5085 0 3.01929 0.809004 0.0417007 0.105051 0.250403 -1.7534 3.48889 0.253164 4.06935 -1.7534 3.71881 -1.7534 0.0224868 5.11594 3.62862 3.76454 2.32985 1.28806 3.5012 -1.7534 -1.7534 2.47199 -1.7534 3.86815 2.86097 0.868046 3.5715 3.7713 0.150527 3.63286 0.145108 3.7105 -1.7534 0.69898 5.93707 2.8326 -1.7534 0.680305 0.240662 -1.7534 -1.7534 3.72565 3.87585 0.230267 0.737356 3.40565 1.52924 -1.7534 -1.7534 0.864481 0.160136 0.0792234 4.0883 3.72156 2.87128 1.5184 0.166007 0.0522959 0.25517 0.62196 0.160407 3.6011 3.82552 3.54228 -1.7534 4.36565 0.164148 0.156525 1.48238 0.0283447 0.351789 3.5352 3.79221 3.79605 0.0603741 0.0498788 3.57278 3.70402 1.46492 0.518508 0.396388 3.49383 1.52514
2.50654 2.11137 5.67116 3.01929 0 0.965521 2.80227 2.62739 3.97287 -1.30585 0.172291 2.29387 0.3672 -1.30585 0.255277 -1.30585 2.77429 3.28278 0.169011 0.193463 0.0943242 0.527201 0.167634 -1.30585 -1.30585 0.0829563 -1.30585 0.230453 0.0263866 1.46716 0.163896 0.214744 2.7301 0.166171 2.10194 0.153879 -1.30585 3.71714 3.84357 0.164917 -1.30585 1.92629 2.09565 -1.30585 -1.30585 0.182883 0.358703 2.1505 1.4544 0.221504 0.538152 -1.30585 -1.30585 0.969354 2.01177 2.64152 0.355022 0.204417 2.44546 0.376371 2.08662 2.88484 2.51297 1.1263 2.03636 0.171589 0.422223 0.134646 -1.30585 1.36081 2.20201 2.37832 1.45902 2.82135 1.56307 0.161196 0.204618 0.21607 2.60457 2.66105 0.162581 0.179448 1.21842 1.47902 1.43823 0.0755979 0.483614
0.636777 0.347803 2.16298 0.809004 0.965521 0 0.662606 0.491418 1.15873 -2.52861 1.43104 0.396059 1.83865 -2.52861 1.57766 -2.52861 0.646521 3.09413 1.48894 1.58303 0.558492 0.174347 1.40882 -2.52861 -2.52861 0.568067 -2.52861 1.66163 0.814536 0.137028 1.46072 1.59524 0.503895 1.49052 0.488941 1.51702 -2.52861 2.01345 3.81719 0.972548 -2.52861 0.668023 0.448919 -2.52861 -2.52861 1.55476 1.71458 0.421705 0.485037 1.36934 0.193698 -2.52861 -2.52861 0.10682 0.399606 0.548981 1.84592 1.56029 1.47828 0.214727 0.416498 0.679041 0.469457 0.100784 0.349769 1.47272 1.70697 1.42088 -2.52861 2.39663 0.474798 0.422185 0.423834 0.757263 0.126701 1.42764 1.6045 1.6112 0.553624 0.660246 1.46158 1.53996 0.416506 0.0960731 0.131394 1.18323 0.285433
0.045637 0.10952 1.3298 0.0417007 2.80227 0.662606 0 0.0758673 0.207226 -1.92735 3.23018 0.167404 3.78906 -1.92735 3.45372 -1.92735 0.0344067 5.05152 3.36378 3.4926 2.10142 1.09905 3.2444 -1.92735 -1.92735 2.25369 -1.92735 3.59196 2.64967 0.697301 3.30898 3.50029 0.103724 3.36758 0.107193 3.44317 -1.92735 0.872653 5.90122 2.5762 -1.92735 0.729796 0.116817 -1.92735 -1.92735 3.45551 3.60735 0.204364 0.684839 3.15837 1.39127 -1.92735 -1.92735 0.75939 0.11449 0.0222846 3.80602 3.45306 2.77975 1.32073 0.102339 0.0627041 0.115918 0.496197 0.104681 3.33819 3.56428 3.28282 -1.92735 4.1298 0.116475 0.131651 1.36898 0.0711791 0.250557 3.27582 3.51922 3.52354 0.070102 0.0155728 3.31004 3.43504 1.36656 0.393118 0.304955 3.278 1.38123
0.154435 0.0920035 1.2275 0.105051 2.62739 0.491418 0.0758673 0 0.242293 -1.9225 3.1717 0.127676 3.7312 -1.9225 3.38066 -1.9225 0.0507048 4.32585 3.29047 3.42639 1.9437 0.988362 3.16306 -1.9225 -1.9225 2.01904 -1.9225 3.53 2.42704 0.480953 3.24034 3.43315 0.01 3.29472 0.173399 3.35953 -1.9225 1.1275 5.1275 2.49734 -1.9225 0.603971 0.205064 -1.9225 -1.9225 3.3875 3.5377 0.159846 0.648838 3.0675 1.11886 -1.9225 -1.9225 0.563658 0.144643 0.0596145 3.75016 3.38342 2.20383 1.18407 0.14092 0.0660204 0.132398 0.407879 0.10077 3.26296 3.48738 3.20413 -1.9225 4.0275 0.150304 0.0601056 0.985867 0.120244 0.178987 3.19705 3.45406 3.4579 0.049949 0.115593 3.24203 3.36587 1.02507 0.265998 0.22692 3.01061 1.17559
0.366196 0.476852 0.591716 0.250403 3.97287 1.15873 0.207226 0.242293 0 -0.946746 4.38822 0.462681 4.98773 -0.946746 4.63719 -0.946746 0.242393 6.28307 4.54699 4.68292 3.02438 1.72054 4.41958 -0.946746 -0.946746 3.23691 -0.946746 4.78652 3.77498 1.18779 4.48353 4.68968 0.201139 4.55124 0.575335 4.64054 -0.946746 1.51479 7.28402 3.54799 -0.946746 1.48764 0.50785 -0.946746 -0.946746 4.64402 4.79423 0.622352 1.47688 4.32402 2.20237 -0.946746 -0.946746 1.37943 0.556221 0.222091 5.00668 4.63994 3.54734 2.01825 0.513209 0.243698 0.255075 0.94571 0.503916 4.51948 4.7439 4.46065 -0.946746 5.28402 0.539895 0.388989 1.9725 0.365962 0.591493 4.45357 4.71059 4.71443 0.330923 0.314113 4.48444 4.6224 2.08416 0.8572 0.701813 4.55761 2.20438
-2.02094 -2.6411 0 -1.7534 -1.30585 -2.52861 -1.92735 -1.9225 -0.946746 0 -0.406914 -2.82134 -0.518519 0 -0.46079 0 -1.95616 -0.665289 -0.374711 -0.232687 -1.6258 -2.21345 -0.264444 0 0 -1.86268 0 -0.301423 -1.66584 -2.97769 -0.378272 -0.4405 -1.9175 -0.30854 -2.30832 -0.418992 0 0 0 -1.15263 0 -2.66667 -2.35906 0 0 -0.24 -0.489796 -2.76765 -3.05835 -0.16 -2.49941 0 0 -2.32871 -2.45857 -2.2405 -0.339844 -0.386939 -2.06213 -2.19946 -2.33212 -1.92219 -2.30367 -2.33252 -2.36673 -0.34349 -0.595679 -0.464674 0 0 -2.5726 -2.48434 -2.74449 -1.70011 -2.39216 -0.242215 -0.298438 -0.380918 -2.00255 -1.97407 -0.317232 -0.3138 -2.66141 -2.83855 -2.34282 -1.3453 -2.43957
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0.223166 0.0408065 1.41916 0.253164 2.29387 0.396059 0.167404 0.127676 0.462681 -2.82134 2.82294 0 3.34931 -2.82134 3.01225 -2.82134 0.161416 4.01164 2.92227 3.0519 1.66222 0.827128 2.80198 -2.82134 -2.82134 1.71997 -2.82134 3.15174 2.10337 0.35805 2.87887 3.05948 0.133942 2.92612 0.18039 2.98467 -2.82134 1.39385 4.79891 2.18973 -2.82134 0.488412 0.189008 -2.82134 -2.82134 3.01461 3.16626 0.0498215 0.379604 2.71486 0.937866 -2.82134 -2.82134 0.468835 0.13401 0.0977368 3.3665 3.01197 1.99481 0.995124 0.186801 0.227078 0.153103 0.350557 0.149737 2.89646 3.12236 2.84401 -2.82134 3.68499 0.0805238 0.0397331 0.843571 0.293794 0.179501 2.83369 3.07864 3.08291 0.182435 0.187141 2.88064 2.99401 0.878497 0.208439 0.223113 2.63514 0.992567
3.40499 3.14463 6.7037 4.06935 0.3672 1.83865 3.78906 3.7312 4.98773 -0.518519 0.141235 3.34931 0 -0.518519 0.261002 -0.518519 3.80927 5.03841 0.177624 0.12014 0.497904 1.01421 0.268889 -0.518519 -0.518519 0.608092 -0.518519 0.0733051 0.520765 2.63311 0.162469 0.0495288 3.8362 0.142639 3.04197 0.139587 -0.518519 4.7037 5.7037 0.230223 -0.518519 3.17429 2.95185 -0.518519 -0.518519 0.13037 0.325019 3.23481 2.45785 0.432593 1.51199 -0.518519 -0.518519 1.90953 2.97053 3.62061 0.162471 0.170733 4.02619 0.854813 3.06135 3.96008 3.4159 1.80487 3.06065 0.202319 0.200617 0.141204 -0.518519 1.7037 3.20646 3.45477 2.67985 3.88454 2.4156 0.232731 0.119155 0.0607307 3.70115 3.63354 0.156407 0.140307 2.33859 2.54548 2.24881 0.605879 1.1544
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0.0965787 0.181925 1.75227 0.0283447 2.82135 0.757263 0.0711791 0.120244 0.365962 -1.70011 3.31043 0.293794 3.88454 -1.70011 3.534 -1.70011 0.047808 4.83157 3.44381 3.57973 2.19218 1.2199 3.31639 -1.70011 -1.70011 2.31185 -1.70011 3.68334 2.66823 0.816728 3.38881 3.58649 0.182387 3.44806 0.118075 3.52181 -1.70011 0.60941 5.60941 2.69487 -1.70011 0.579532 0.238953 -1.70011 -1.70011 3.54084 3.69104 0.234878 0.667876 3.22084 1.39425 -1.70011 -1.70011 0.776199 0.141995 0.122307 3.9035 3.53676 2.71578 1.43047 0.142916 0.0443594 0.302336 0.588202 0.135848 3.4163 3.64072 3.35747 -1.70011 4.18084 0.162154 0.181564 1.38465 0 0.338939 3.35039 3.6074 3.61124 0.0388322 0.0555477 3.39022 3.51921 1.34239 0.475387 0.369627 3.26195 1.39442
0.245544 0.120121 1.62371 0.351789 1.56307 0.126701 0.250557 0.178987 0.591493 -2.39216 1.97447 0.179501 2.4156 -2.39216 2.17067 -2.39216 0.249055 3.89637 2.08222 2.1688 1.03346 0.369775 2.01059 -2.39216 -2.39216 1.10794 -2.39216 2.24292 1.41757 0.268705 2.03768 2.18199 0.195098 2.08333 0.195483 2.11855 -2.39216 1.40149 4.6872 1.4231 -2.39216 0.599121 0.169638 -2.39216 -2.39216 2.14244 2.30398 0.208788 0.472477 1.98117 0.572896 -2.39216 -2.39216 0.253818 0.161056 0.192161 2.42077 2.1497 1.96573 0.481989 0.146527 0.288816 0.180806 0.0827874 0.113432 2.06802 2.30404 1.99547 -2.39216 3.02053 0.196978 0.171111 0.705523 0.338939 0 2.02669 2.18916 2.19637 0.224332 0.262038 2.0372 2.12886 0.693275 0.09338 0.0328034 1.9191 0.572345
2.92145 2.63785 6.16955 3.5352 0.161196 1.42764 3.27582 3.19705 4.45357 -0.242215 0.0462967 2.83369 0.232731 -0.242215 0.101373 -0.242215 3.29836 4.50426 0.0147878 0.0483183 0.22728 0.768836 0.00314494 -0.242215 -0.242215 0.364985 -0.242215 0.0907343 0.296315 2.13496 0.0187295 0.068417 3.30205 0.0125254 2.56074 0.0386733 -0.242215 4.16955 5.16955 0.148445 -0.242215 2.64014 2.48986 -0.242215 -0.242215 0.0354325 0.209166 2.71693 1.97517 0.0448443 1.07919 -0.242215 -0.242215 1.45452 2.47821 3.13003 0.223089 0.0548803 3.49204 0.642499 2.57068 3.42593 2.95495 1.50686 2.55832 0.0149144 0.263414 0.0367177 -0.242215 1.16955 2.70175 2.94543 2.25027 3.35039 2.02669 0 0.0608186 0.0716506 3.167 3.11917 0.0184083 0.0305161 1.9546 2.06533 1.88505 0.329598 0.927514
3.14552 2.87705 6.42656 3.79221 0.204618 1.6045 3.51922 3.45406 4.71059 -0.298438 0.0174267 3.07864 0.119155 -0.298438 0.11461 -0.298438 3.54024 4.76127 0.0225035 0.00440184 0.312763 0.837883 0.0846181 -0.298438 -0.298438 0.432558 -0.298438 0.0114145 0.351743 2.36854 0.0216242 0.0322167 3.55906 0.0240832 2.78331 0.0060398 -0.298438 4.42656 5.42656 0.111009 -0.298438 2.89715 2.6999 -0.298438 -0.298438 0.0065625 0.193909 2.96335 2.19868 0.206562 1.27023 -0.298438 -0.298438 1.66002 2.70799 3.35868 0.0867187 0.0396237 3.74905 0.690029 2.79939 3.68294 3.16432 1.61017 2.79462 0.0435985 0.308661 0.0140625 -0.298438 1.42656 2.9396 3.18629 2.43922 3.6074 2.18916 0.0608186 0 0.0230025 3.42401 3.3633 0.017566 0.0109513 2.11387 2.28719 2.03116 0.418763 0.984526
3.15053 2.88152 6.4304 3.79605 0.21607 1.6112 3.52354 3.4579 4.71443 -0.380918 0.0314552 3.08291 0.0607307 -0.380918 0.127138 -0.380918 3.54462 4.76511 0.0425656 0.0189665 0.322715 0.848422 0.0955176 -0.380918 -0.380918 0.443149 -0.380918 0.017622 0.362767 2.37322 0.0345206 0.00490019 3.5629 0.0263792 2.78837 0.0275827 -0.380918 4.4304 5.4304 0.125343 -0.380918 2.90099 2.70542 -0.380918 -0.380918 0.020591 0.207453 2.96757 2.20372 0.213799 1.27642 -0.380918 -0.380918 1.66569 2.7128 3.36353 0.110606 0.053167 3.75289 0.701334 2.80424 3.68678 3.16986 1.61949 2.79919 0.0581136 0.179587 0.0278695 -0.380918 1.4304 2.94412 3.1907 2.44548 3.61124 2.19637 0.0716506 0.0230025 0 3.42785 3.3676 0.0305955 0.0249975 2.1212 2.29228 2.03895 0.428585 0.995494
0.128488 0.114022 1.49745 0.0603741 2.60457 0.553624 0.070102 0.049949 0.330923 -2.00255 3.13974 0.182435 3.70115 -2.00255 3.35061 -2.00255 0.0446901 4.36463 3.26042 3.39634 1.96379 1.03236 3.133 -2.00255 -2.00255 2.04355 -2.00255 3.49995 2.42135 0.565422 3.20965 3.4031 0.0835204 3.26467 0.133193 3.33064 -2.00255 0.92602 5.14031 2.50132 -2.00255 0.540866 0.21284 -2.00255 -2.00255 3.35745 3.50765 0.169477 0.60651 3.03745 1.14859 -2.00255 -2.00255 0.593452 0.117449 0.078373 3.72011 3.35337 2.29796 1.22471 0.132086 0.0191327 0.190714 0.449871 0.100906 3.23291 3.45733 3.17408 -2.00255 3.99745 0.143241 0.0942192 1.06929 0.0388322 0.224332 3.167 3.42401 3.42785 0 0.0793649 3.21131 3.33582 1.07231 0.31405 0.260539 2.99144 1.18928
0.0363341 0.109 1.5935 0.0498788 2.66105 0.660246 0.0155728 0.115593 0.314113 -1.97407 3.08328 0.187141 3.63354 -1.97407 3.29739 -1.97407 0.0526111 4.93067 3.20743 3.33663 2.01202 1.0649 3.08761 -1.97407 -1.97407 2.16325 -1.97407 3.43622 2.52745 0.716381 3.15577 3.34427 0.163837 3.21125 0.0705932 3.28758 -1.97407 0.728634 5.75566 2.46729 -1.97407 0.635894 0.108063 -1.97407 -1.97407 3.29944 3.45119 0.189508 0.601028 3.00107 1.3365 -1.97407 -1.97407 0.717677 0.0936147 0.0518361 3.65061 3.29691 2.74862 1.27684 0.0861003 0.0825019 0.176312 0.485328 0.0937492 3.18173 3.40773 3.13147 -1.97407 3.97188 0.0939042 0.15588 1.36252 0.0555477 0.262038 3.11917 3.3633 3.3676 0.0793649 0 3.15703 3.27892 1.3271 0.396729 0.298674 3.12781 1.30608
2.94844 2.68103 6.20042 3.57278 0.162581 1.46158 3.31004 3.24203 4.48444 -0.317232 0.00761929 2.88064 0.156407 -0.317232 0.0939348 -0.317232 3.32997 4.62924 0.00780122 0.00983351 0.243556 0.756312 0.0332257 -0.317232 -0.317232 0.372888 -0.317232 0.0330181 0.300935 2.19321 0.00253578 0.0341237 3.34703 0.00417475 2.59217 0.00951437 -0.317232 4.20042 5.29453 0.102905 -0.317232 2.70238 2.51775 -0.317232 -0.317232 0.00512111 0.18625 2.764 2.0246 0.118062 1.13431 -0.317232 -0.317232 1.51082 2.51714 3.15781 0.137777 0.0319638 3.5953 0.622046 2.60667 3.46688 2.97741 1.49775 2.59962 0.0172964 0.273364 0.00671318 -0.317232 1.29453 2.74168 2.98506 2.30063 3.39022 2.0372 0.0184083 0.017566 0.0305955 3.21131 3.15703 0 0.00477417 1.99029 2.11143 1.89218 0.361265 0.914806
3.06705 2.79411 6.33837 3.70402 0.179448 1.53996 3.43504 3.36587 4.6224 -0.3138 0.0122981 2.99401 0.140307 -0.3138 0.0983464 -0.3138 3.45652 4.67309 0.00861164 0.00500081 0.275183 0.805153 0.0478429 -0.3138 -0.3138 0.400262 -0.3138 0.020754 0.323031 2.28727 0.00583538 0.0305391 3.47087 0.0083148 2.70528 0.00811335 -0.3138 4.33837 5.33837 0.109696 -0.3138 2.80896 2.62557 -0.3138 -0.3138 0.00272212 0.186052 2.87829 2.12038 0.14649 1.20151 -0.3138 -0.3138 1.58703 2.62784 3.27886 0.111755 0.0317668 3.66086 0.663647 2.71955 3.59475 3.09019 1.56733 2.71254 0.0215812 0.282953 0.00838847 -0.3138 1.33837 2.85706 3.10286 2.37111 3.51921 2.12886 0.0305161 0.0109513 0.0249975 3.33582 3.27892 0.00477417 0 2.05452 2.20937 1.97569 0.380097 0.955347
1.34984 0.84175 3.28731 1.46492 1.21842 0.416506 1.36656 1.02507 2.08416 -2.66141 1.97612 0.878497 2.33859 -2.66141 2.09724 -2.66141 1.27254 1.3796 2.00885 2.09376 0.974331 0.664075 1.93911 -2.66141 -2.66141 0.758583 -2.66141 2.16688 1.00773 0.371828 1.98938 2.10717 1.0634 2.00985 1.03738 1.99652 -2.66141 2.62064 1.87705 1.47838 -2.66141 0.552268 1.11316 -2.66141 -2.66141 2.06782 2.22975 0.807976 0.670868 1.91193 0.323603 -2.66141 -2.66141 0.187294 0.915553 1.22477 2.3433 2.07546 0.418475 0.667422 1.00469 1.28911 1.20781 0.522474 0.878441 1.9951 2.23152 1.90318 -2.66141 2.95398 0.982617 0.899447 0.0365941 1.34239 0.693275 1.9546 2.11387 2.1212 1.07231 1.3271 1.99029 2.05452 0 0.493526 0.553906 1.25437 0.261166
0.382228 0.145976 1.92374 0.518508 1.47902 0.0960731 0.393118 0.265998 0.8572 -2.83855 2.06947 0.208439 2.54548 -2.83855 2.23421 -2.83855 0.394854 3.20182 2.14466 2.26224 1.01352 0.454466 2.03799 -2.83855 -2.83855 1.00221 -2.83855 2.35488 1.28186 0.0685972 2.10977 2.27139 0.286571 2.14774 0.268201 2.1819 -2.83855 1.61227 3.90735 1.54031 -2.83855 0.479513 0.243746 -2.83855 -2.83855 2.22801 2.38243 0.226945 0.360527 1.96702 0.369859 -2.83855 -2.83855 0.189188 0.204282 0.317704 2.55931 2.22814 1.50726 0.530525 0.191522 0.420753 0.286112 0.195838 0.14062 2.1221 2.35083 2.06313 -2.83855 2.95653 0.246943 0.23601 0.474804 0.475387 0.09338 2.06533 2.28719 2.29228 0.31405 0.396729 2.11143 2.20937 0.493526 0 0.131657 1.70158 0.531535
0.283436 0.15457 1.82097 0.396388 1.43823 0.131394 0.304955 0.22692 0.701813 -2.34282 1.83551 0.223113 2.24881 -2.34282 2.02217 -2.34282 0.295573 3.59142 1.93402 2.01206 0.946551 0.306826 1.87204 -2.34282 -2.34282 1.00877 -2.34282 2.08108 1.31384 0.304555 1.89289 2.02636 0.254334 1.93458 0.212904 1.96602 -2.34282 1.3727 4.35545 1.29 -2.34282 0.526516 0.209124 -2.34282 -2.34282 1.98787 2.15137 0.228222 0.428975 1.85408 0.539866 -2.34282 -2.34282 0.167941 0.166095 0.251855 2.2516 1.99709 1.77409 0.425461 0.182088 0.339049 0.253259 0.0333127 0.145697 1.92213 2.16016 1.8458 -2.34282 2.90718 0.223304 0.206295 0.595201 0.369627 0.0328034 1.88505 2.03116 2.03895 0.260539 0.298674 1.89218 1.97569 0.553906 0.131657 0 1.79209 0.431852
2.98616 2.45795 6.29106 3.49383 0.0755979 1.18323 3.278 3.01061 4.55761 -1.3453 0.392231 2.63514 0.605879 -1.3453 0.387885 -1.3453 3.22019 2.81586 0.355747 0.404071 0.247082 0.81427 0.327377 -1.3453 -1.3453 0.151824 -1.3453 0.455328 0.054415 1.59057 0.360772 0.422243 3.11788 0.354425 2.49972 0.338677 -1.3453 4.24561 3.29106 0.423927 -1.3453 2.08162 2.52484 -1.3453 -1.3453 0.387428 0.47984 2.4628 1.65548 0.349246 0.56753 -1.3453 -1.3453 1.14356 2.38444 3.08979 0.600368 0.372307 2.23593 0.62138 2.47334 3.31936 2.95979 1.47369 2.39232 0.35188 0.5969 0.328366 -1.3453 1.26834 2.57518 2.73045 1.47515 3.26195 1.9191 0.329598 0.418763 0.428585 2.99144 3.12781 0.361265 0.380097 1.25437 1.70158 1.79209 0 0.642182
1.24819 0.890368 3.59747 1.52514 0.483614 0.285433 1.38123 1.17559 2.20438 -2.43957 0.888499 0.992567 1.1544 -2.43957 1.02729 -2.43957 1.33404 2.28684 0.940776 0.97232 0.319818 0.181392 0.931379 -2.43957 -2.43957 0.244682 -2.43957 1.01355 0.398703 0.533558 0.916866 0.992678 1.23861 0.938387 0.957901 0.920982 -2.43957 2.43698 2.86907 0.539442 -2.43957 0.777329 0.981763 -2.43957 -2.43957 0.959939 1.13413 0.909377 0.630363 0.975742 0.207463 -2.43957 -2.43957 0.178673 0.870997 1.25423 1.1442 0.979843 1.19346 0.158329 0.94668 1.39706 1.1975 0.288974 0.875292 0.941439 1.19041 0.845222 -2.43957 2.10364 0.987834 1.0265 0.405361 1.39442 0.572345 0.927514 0.984526 0.995494 1.18928 1.30608 0.914806 0.955347 0.261166 0.531535 0.431852 0.642182 0
X Y
p0 -79.0189 36.0983
p1 -84.0333 42.1333
p2 -84.57 39.15
p3 -79.35 37.5667
p4 -76.6 40.4333
p5 -74.9083 41.1633
p6 -73.1033 41.3233
p7 -73.2583 41.4717
p8 -72.7933 41.8383
p9 -72.345 43.7133
p10 -72.0733 43.345
p11 -71.945 43.3583
p12 -72.95 43.9725
p13 -82.5833 36.1667
p14 -76.503 42.4076
p15 -87.6 33.26
p16 -82.5003 35.62
p17 -82.5 35.62
p18 -75.21 40.04
p19 -80.9506 38.0262
p20 -80.1 39.5096
p21 -81.0389 41.3287
p22 -84.3635 41.6407
p23 -85.6346 40.7719
p24 -87.0752 39.9362
p25 -86.7253 39.2905
p26 -86.1456 38.208
p27 -85.6532 37.9257
p28 -86.0978 37.1835
p29 -85.5952 36.0438
p30 -84.2186 36.3093
p31 -83.0286 38.2015
p32 -89.3447 37.6483
p33 -77.46 38.37
p34 -77.08 35.04
p35 -79.2098 41.3461
p36 -83.8313 34.2357
p37 -83.003 39.962
p38 -89.0967 33.2067
p39 -88.8509 33.2925
p40 -70.6527 41.3919
p41 -79.022 35.9798
p42 -82.9991 39.6401
p43 -77.4546 41.6968
p44 -74.7894 43.7207
p45 -74.7956 43.7179
p46 -74.1236 42.2386
p47 -68.2077 44.3627
p48 -66.1085 46.5373
p49 -73.1571 45.5363
p50 -78.4066 45.5805
p51 -81.4407 42.6043
p52 -83.1739 42.5374
p53 -85.5834 42.932
p54 -85.4549 44.2401
p55 -84.7037 44.964
p56 -84.8983 45.933
p57 -86.6575 46.437
p58 -88.56 45.2891
p59 -87.1827 44.9275
p60 -87.8682 42.9153
p61 -93.2329 35.8601
p62 -93.38 34.3884
p63 -93.9196 34.4226
p64 -93.1105 33.6883
p65 -93.1834 33.3494
p66 -90.7182 35.1625
p67 -88.2567 35.7773
p68 -88.1676 34.9318
p69 -85.0887 34.6136
p70 -84.3633 33.9648
p71 -85.8406 33.4456
p72 -85.4711 32.5553
p73 -85.2263 30.8127
p74 -83.9227 33.2496
p75 -82.0413 33.7285
p76 -80.386 33.0324
p77 -80.9421 35.0358
p78 -78.7402 35.8388
p79 -78.6395 45.5485
p80 -92.3029 30.803
p81 -91.2626 30.8265
p82 -90.9848 31.4234
p83 -89.1555 31.2154
p84 -79.6644 43.5523
p85 -77.8 41.65
p86 -69.9244 43.8074
0 4 2.25 5 4.25 4 5.11111 4 5 4.44444 4 5 5 1 4.53061 1 5 5 4 5 5.64 4.30556 4 4.55556 5.11111 4.33333 8.18367 0.836735 0.5625 1.32653 1 0.916667 1 5 7 4.04 1 4 1 1.08 4.16 1 5 4.32653 4.69444 4.125 5 4.5 5 4.08163 4.5102 5 4.18367 4.0625 4.04 4.25 5 4.5102 5 5 5 1 1 1 2 2 1.40816 2 7 0.183673 1 2 1 11 1 1 7.04082 1 1.625 3.41667 1 0.703125 1.16667 10.4444 4.39062 4.36735 5.18367
4 0 2.75 1 0.25 0 1.11111 0 1 0.444444 0 1 1 6 0.530612 4 1 1 0 1 1.64 0.305556 0 0.555556 2.44444 2.66667 4.18367 4.55102 5.3125 4.32653 6 2.91667 4 1 5 0.04 4 2 6 5.28 0.16 6 1 0.326531 0.694444 0.125 1 0.5 1 0.0816327 0.510204 1 0.183673 0.0625 0.04 0.25 1 0.510204 1 1 1 6 4 4 7 7 2.40816 7 3 4.61224 6 5 4 7 4 4 5.04082 4 3.5 0.0833333 6 5.07812 3 6.44444 0.390625 0.367347 1.18367
2.25 2.75 0 3.75 3 2.75 3.86111 2.75 3.75 3.19444 2.75 3.75 3.75 2.75 3.28061 3.75 3.75 3.75 2.75 3.75 4.39 3.05556 2.75 1.63889 1.19444 1.08333 2.5051 1.44388 2.4375 4.07653 2.75 1.66667 3.75 2.08333 2.75 2.79 3.75 3.75 2.75 2.43 2.91 2.75 3.75 3.07653 3.44444 2.875 3.75 3.25 3.75 2.83163 3.2602 3.75 2.93367 2.8125 2.79 3 3.75 3.2602 3.75 3.75 3.75 2.75 3.75 3.75 3.75 3.75 1.87245 3.75 5.75 2.21939 2.75 4.75 3.75 5.75 3.75 3.75 2.79082 3.75 0.875 2.5 2.75 2.32812 2.58333 5.19444 3.14062 3.11735 3.93367
5 1 3.75 0 0.25 1 0.111111 1 0 0.111111 1 0 0 7 0.102041 5 0 0 1 0 0.64 0.305556 1 1.55556 3.44444 3.66667 5.18367 5.55102 6.3125 5.32653 7 3.25 5 0.666667 6 0.64 5 1 7 6.28 0.36 7 0 0.183673 0.0277778 0.625 0 0.5 0 0.510204 0.0816327 0 0.326531 0.5625 0.64 0.25 0 0.0816327 2 0 0 7 5 5 8 8 3.40816 8 3 5.61224 7 6 5 8 5 5 6.04082 5 4.5 1.08333 7 5.82812 4 7.44444 0.140625 0.510204 0.183673
4.25 0.25 3 0.25 0 0.25 0.361111 0.25 0.25 0.0277778 0.25 0.25 0.25 6.25 0.0663265 4.25 0.25 0.25 0.25 0.25 0.89 0.0555556 0.25 0.805556 2.69444 2.91667 4.43367 4.80102 5.5625 4.57653 6.25 2.83333 4.25 0.583333 5.25 0.09 4.25 1.25 6.25 5.53 0.01 6.25 0.25 0.00510204 0.111111 0.125 0.25 0.25 0.25 0.0459184 0.0459184 0.25 0.00510204 0.0625 0.09 0 0.25 0.0459184 1.25 0.25 0.25 6.25 4.25 4.25 7.25 7.25 2.65816 7.25 2.75 4.86224 6.25 5.25 4.25 7.25 4.25 4.25 5.29082 4.25 3.75 0.333333 6.25 5.20312 3.25 6.69444 0.015625 0.188776 0.433673
4 0 2.75 1 0.25 0 1.11111 0 1 0.444444 0 1 1 6 0.530612 4 1 1 0 1 1.64 0.305556 0 0.555556 2.44444 2.66667 4.18367 4.55102 5.3125 4.32653 6 2.91667 4 1 5 0.04 4 2 6 5.28 0.16 6 1 0.326531 0.694444 0.125 1 0.5 1 0.0816327 0.510204 1 0.183673 0.0625 0.04 0.25 1 0.510204 1 1 1 6 4 4 7 7 2.40816 7 3 4.61224 6 5 4 7 4 4 5.04082 4 3.5 0.0833333 6 5.07812 3 6.44444 0.390625 0.367347 1.18367
5.11111 1.11111 3.86111 0.111111 0.361111 1.11111 0 1.11111 0.111111 0.222222 1.11111 0.111111 0.111111 7.11111 0.213152 5.11111 0.111111 0.111111 1.11111 0.111111 0.751111 0.416667 1.11111 1.66667 3.55556 3.77778 5.29478 5.66213 6.42361 5.43764 7.11111 3.36111 5.11111 0.777778 6.11111 0.751111 5.11111 1.11111 7.11111 6.39111 0.471111 7.11111 0.111111 0.294785 0.138889 0.736111 0.111111 0.611111 0.111111 0.621315 0.192744 0.111111 0.437642 0.673611 0.751111 0.361111 0.111111 0.192744 2.11111 0.111111 0.111111 7.11111 5.11111 5.11111 8.11111 8.11111 3.51927 8.11111 3.11111 5.72336 7.11111 6.11111 5.11111 8.11111 5.11111 5.11111 6.15193 5.11111 4.61111 1.19444 7.11111 5.93924 4.11111 7.55556 0.251736 0.621315 0.294785
4 0 2.75 1 0.25 0 1.11111 0 1 0.444444 0 1 1 6 0.530612 4 1 1 0 1 1.64 0.305556 0 0.555556 2.44444 2.66667 4.18367 4.55102 5.3125 4.32653 6 2.91667 4 1 5 0.04 4 2 6 5.28 0.16 6 1 0.326531 0.694444 0.125 1 0.5 1 0.0816327 0.510204 1 0.183673 0.0625 0.04 0.25 1 0.510204 1 1 1 6 4 4 7 7 2.40816 7 3 4.61224 6 5 4 7 4 4 5.04082 4 3.5 0.0833333 6 5.07812 3 6.44444 0.390625 0.367347 1.18367
5 1 3.75 0 0.25 1 0.111111 1 0 0.111111 1 0 0 7 0.102041 5 0 0 1 0 0.64 0.305556 1 1.55556 3.44444 3.66667 5.18367 5.55102 6.3125 5.32653 7 3.25 5 0.666667 6 0.64 5 1 7 6.28 0.36 7 0 0.183673 0.0277778 0.625 0 0.5 0 0.510204 0.0816327 0 0.326531 0.5625 0.64 0.25 0 0.0816327 2 0 0 7 5 5 8 8 3.40816 8 3 5.61224 7 6 5 8 5 5 6.04082 5 4.5 1.08333 7 5.82812 4 7.44444 0.140625 0.510204 0.183673
4.44444 0.444444 3.19444 0.111111 0.0277778 0.444444 0.222222 0.444444 0.111111 0 0.444444 0.111111 0.111111 6.44444 0.0226757 4.44444 0.111111 0.111111 0.444444 0.111111 0.751111 0.0833333 0.444444 1 2.88889 3.11111 4.62812 4.99546 5.75694 4.77098 6.44444 2.91667 4.44444 0.555556 5.44444 0.217778 4.44444 1.11111 6.44444 5.72444 0.0711111 6.44444 0.111111 0.00907029 0.0277778 0.236111 0.111111 0.277778 0.111111 0.145125 0.00226757 0.111111 0.0566893 0.173611 0.217778 0.0277778 0.111111 0.00226757 1.44444 0.111111 0.111111 6.44444 4.44444 4.44444 7.44444 7.44444 2.85261 7.44444 2.77778 5.05669 6.44444 5.44444 4.44444 7.44444 4.44444 4.44444 5.48526 4.44444 3.94444 0.527778 6.44444 5.3559 3.44444 6.88889 0.00173611 0.240363 0.294785
4 0 2.75 1 0.25 0 1.11111 0 1 0.444444 0 1 1 6 0.530612 4 1 1 0 1 1.64 0.305556 0 0.555556 2.44444 2.66667 4.18367 4.55102 5.3125 4.32653 6 2.91667 4 1 5 0.04 4 2 6 5.28 0.16 6 1 0.326531 0.694444 0.125 1 0.5 1 0.0816327 0.510204 1 0.183673 0.0625 0.04 0.25 1 0.510204 1 1 1 6 4 4 7 7 2.40816 7 3 4.61224 6 5 4 7 4 4 5.04082 4 3.5 0.0833333 6 5.07812 3 6.44444 0.390625 0.367347 1.18367
5 1 3.75 0 0.25 1 0.111111 1 0 0.111111 1 0 0 7 0.102041 5 0 0 1 0 0.64 0.305556 1 1.55556 3.44444 3.66667 5.18367 5.55102 6.3125 5.32653 7 3.25 5 0.666667 6 0.64 5 1 7 6.28 0.36 7 0 0.183673 0.0277778 0.625 0 0.5 0 0.510204 0.0816327 0 0.326531 0.5625 0.64 0.25 0 0.0816327 2 0 0 7 5 5 8 8 3.40816 8 3 5.61224 7 6 5 8 5 5 6.04082 5 4.5 1.08333 7 5.82812 4 7.44444 0.140625 0.510204 0.183673
5 1 3.75 0 0.25 1 0.111111 1 0 0.111111 1 0 0 7 0.102041 5 0 0 1 0 0.64 0.305556 1 1.55556 3.44444 3.66667 5.18367 5.55102 6.3125 5.32653 7 3.25 5 0.666667 6 0.64 5 1 7 6.28 0.36 7 0 0.183673 0.0277778 0.625 0 0.5 0 0.510204 0.0816327 0 0.326531 0.5625 0.64 0.25 0 0.0816327 2 0 0 7 5 5 8 8 3.40816 8 3 5.61224 7 6 5 8 5 5 6.04082 5 4.5 1.08333 7 5.82812 4 7.44444 0.140625 0.510204 0.183673
1 6 2.75 7 6.25 6 7.11111 6 7 6.44444 6 7 7 0 6.53061 4 7 7 6 7 7.64 6.30556 6 6.55556 7.11111 6.66667 10.1837 0.265306 0.0625 4.32653 0 0.916667 4 7 9 6.04 4 6 0 0.08 6.16 0 7 6.32653 6.69444 6.125 7 6.5 7 6.08163 6.5102 7 6.18367 6.0625 6.04 6.25 7 6.5102 7 7 7 0 4 4 1 1 4.12245 1 9 0.326531 0 5 4 13 4 4 9.04082 4 1.75 5.41667 0 0.078125 4 12.4444 6.39062 6.36735 7.18367
4.53061 0.530612 3.28061 0.102041 0.0663265 0.530612 0.213152 0.530612 0.102041 0.0226757 0.530612 0.102041 0.102041 6.53061 0 4.53061 0.102041 0.102041 0.530612 0.102041 0.742041 0.121882 0.530612 1.08617 2.97506 3.19728 4.71429 5.08163 5.84311 4.85714 6.53061 2.97109 4.53061 0.578231 5.53061 0.284898 4.53061 1.10204 6.53061 5.81061 0.119184 6.53061 0.102041 0.0408163 0.0345805 0.298469 0.102041 0.316327 0.102041 0.204082 0.0204082 0.102041 0.102041 0.235969 0.284898 0.0663265 0.102041 0.0204082 1.53061 0.102041 0.102041 6.53061 4.53061 4.53061 7.53061 7.53061 2.93878 7.53061 2.81633 5.14286 6.53061 5.53061 4.53061 7.53061 4.53061 4.53061 5.57143 4.53061 4.03061 0.613946 6.53061 5.43017 3.53061 6.97506 0.0283801 0.285714 0.285714
1 4 3.75 5 4.25 4 5.11111 4 5 4.44444 4 5 5 4 4.53061 0 5 5 4 5 5.64 4.30556 4 4.55556 5.11111 4 8.18367 3.40816 3.0625 0.326531 4 2.91667 0 5 7 4.04 0 4 4 4.08 4.16 4 5 4.32653 4.69444 4.125 5 4.5 5 4.08163 4.5102 5 4.18367 4.0625 4.04 4.25 5 4.5102 5 5 5 4 0 0 5 5 0.693878 5 7 2.04082 4 1 0 11 0 0 7.04082 0 3.5 3.41667 4 3.32812 0.333333 10.4444 4.39062 4.36735 5.18367
5 1 3.75 0 0.25 1 0.111111 1 0 0.111111 1 0 0 7 0.102041 5 0 0 1 0 0.64 0.305556 1 1.55556 3.44444 3.66667 5.18367 5.55102 6.3125 5.32653 7 3.25 5 0.666667 6 0.64 5 1 7 6.28 0.36 7 0 0.183673 0.0277778 0.625 0 0.5 0 0.510204 0.0816327 0 0.326531 0.5625 0.64 0.25 0 0.0816327 2 0 0 7 5 5 8 8 3.40816 8 3 5.61224 7 6 5 8 5 5 6.04082 5 4.5 1.08333 7 5.82812 4 7.44444 0.140625 0.510204 0.183673
5 1 3.75 0 0.25 1 0.111111 1 0 0.111111 1 0 0 7 0.102041 5 0 0 1 0 0.64 0.305556 1 1.55556 3.44444 3.66667 5.18367 5.55102 6.3125 5.32653 7 3.25 5 0.666667 6 0.64 5 1 7 6.28 0.36 7 0 0.183673 0.0277778 0.625 0 0.5 0 0.510204 0.0816327 0 0.326531 0.5625 0.64 0.25 0 0.0816327 2 0 0 7 5 5 8 8 3.40816 8 3 5.61224 7 6 5 8 5 5 6.04082 5 4.5 1.08333 7 5.82812 4 7.44444 0.140625 0.510204 0.183673
4 0 2.75 1 0.25 0 1.11111 0 1 0.444444 0 1 1 6 0.530612 4 1 1 0 1 1.64 0.305556 0 0.555556 2.44444 2.66667 4.18367 4.55102 5.3125 4.32653 6 2.91667 4 1 5 0.04 4 2 6 5.28 0.16 6 1 0.326531 0.694444 0.125 1 0.5 1 0.0816327 0.510204 1 0.183673 0.0625 0.04 0.25 1 0.510204 1 1 1 6 4 4 7 7 2.40816 7 3 4.61224 6 5 4 7 4 4 5.04082 4 3.5 0.0833333 6 5.07812 3 6.44444 0.390625 0.367347 1.18367
5 1 3.75 0 0.25 1 0.111111 1 0 0.111111 1 0 0 7 0.102041 5 0 0 1 0 0.64 0.305556 1 1.55556 3.44444 3.66667 5.18367 5.55102 6.3125 5.32653 7 3.25 5 0.666667 6 0.64 5 1 7 6.28 0.36 7 0 0.183673 0.0277778 0.625 0 0.5 0 0.510204 0.0816327 0 0.326531 0.5625 0.64 0.25 0 0.0816327 2 0 0 7 5 5 8 8 3.40816 8 3 5.61224 7 6 5 8 5 5 6.04082 5 4.5 1.08333 7 5.82812 4 7.44444 0.140625 0.510204 0.183673
5.64 1.64 4.39 0.64 0.89 1.64 0.751111 1.64 0.64 0.751111 1.64 0.64 0.64 7.64 0.742041 5.64 0.64 0.64 1.64 0.64 0 0.945556 1.64 2.19556 4.08444 4.30667 5.82367 6.19102 6.9525 5.96653 7.64 3.89 5.64 1.30667 6.64 1.28 5.64 1.64 7.64 6.92 1 7.64 0.64 0.823673 0.667778 1.265 0.64 1.14 0.64 1.1502 0.721633 0.64 0.966531 1.2025 1.28 0.89 0.64 0.721633 2.64 0.64 0.64 7.64 5.64 5.64 8.64 8.64 4.04816 8.64 3.64 6.25224 7.64 6.64 5.64 8.64 5.64 5.64 6.68082 5.64 5.14 1.72333 7.64 6.46813 4.64 8.08444 0.780625 1.1502 0.823673
4.30556 0.305556 3.05556 0.305556 0.0555556 0.305556 0.416667 0.305556 0.305556 0.0833333 0.305556 0.305556 0.305556 6.30556 0.121882 4.30556 0.305556 0.305556 0.305556 0.305556 0.945556 0 0.305556 0.861111 2.75 2.97222 4.48923 4.85658 5.61806 4.63209 6.30556 2.88889 4.30556 0.638889 5.30556 0.145556 4.30556 1.30556 6.30556 5.58556 0.0655556 6.30556 0.305556 0.0606576 0.166667 0.180556 0.305556 0.305556 0.305556 0.101474 0.101474 0.305556 0.0606576 0.118056 0.145556 0.0555556 0.305556 0.101474 1.30556 0.305556 0.305556 6.30556 4.30556 4.30556 7.30556 7.30556 2.71372 7.30556 2.80556 4.9178 6.30556 5.30556 4.30556 7.30556 4.30556 4.30556 5.34637 4.30556 3.80556 0.388889 6.30556 5.25868 3.30556 6.75 0.0711806 0.244331 0.489229
4 0 2.75 1 0.25 0 1.11111 0 1 0.444444 0 1 1 6 0.530612 4 1 1 0 1 1.64 0.305556 0 0.555556 2.44444 2.66667 4.18367 4.55102 5.3125 4.32653 6 2.91667 4 1 5 0.04 4 2 6 5.28 0.16 6 1 0.326531 0.694444 0.125 1 0.5 1 0.0816327 0.510204 1 0.183673 0.0625 0.04 0.25 1 0.510204 1 1 1 6 4 4 7 7 2.40816 7 3 4.61224 6 5 4 7 4 4 5.04082 4 3.5 0.0833333 6 5.07812 3 6.44444 0.390625 0.367347 1.18367
4.55556 0.555556 1.63889 1.55556 0.805556 0.555556 1.66667 0.555556 1.55556 1 0.555556 1.55556 1.55556 6.55556 1.08617 4.55556 1.55556 1.55556 0.555556 1.55556 2.19556 0.861111 0.555556 0 0.777778 1 1.78685 4.63039 5.86806 4.88209 6.55556 3.47222 4.55556 0.444444 2.88889 0.595556 4.55556 2.55556 6.55556 5.83556 0.715556 6.55556 1.55556 0.882086 1.25 0.680556 1.55556 1.05556 1.55556 0.637188 1.06576 1.55556 0.739229 0.618056 0.595556 0.805556 1.55556 1.06576 1.55556 1.55556 1.55556 6.55556 4.55556 4.55556 7.55556 7.55556 2.20181 7.55556 3.55556 5.1678 6.55556 5.55556 4.55556 4.88889 4.55556 4.55556 2.92971 4.55556 3.05556 0.638889 6.55556 5.63368 3.11111 4.33333 0.946181 0.922902 1.73923
5.11111 2.44444 1.19444 3.44444 2.69444 2.44444 3.55556 2.44444 3.44444 2.88889 2.44444 3.44444 3.44444 7.11111 2.97506 5.11111 3.44444 3.44444 2.44444 3.44444 4.08444 2.75 2.44444 0.777778 0 0.222222 0.723356 4.90023 6.42361 5.43764 7.11111 4.47222 5.11111 1.22222 1.44444 2.48444 5.11111 3.77778 7.11111 6.52444 2.60444 7.11111 3.44444 2.77098 3.13889 2.56944 3.44444 2.94444 3.44444 2.52608 2.95465 3.44444 2.62812 2.50694 2.48444 2.69444 3.44444 2.95465 3.44444 3.44444 3.44444 7.11111 5.11111 5.11111 8.11111 8.11111 2.37642 8.11111 5.44444 5.72336 7.11111 6.11111 5.11111 4.11111 5.11111 5.11111 1.48526 5.11111 2.94444 2.41667 7.11111 6.27257 3.44444 3.55556 2.83507 2.81179 3.62812
4.33333 2.66667 1.08333 3.66667 2.91667 2.66667 3.77778 2.66667 3.66667 3.11111 2.66667 3.66667 3.66667 6.66667 3.19728 4 3.66667 3.66667 2.66667 3.66667 4.30667 2.97222 2.66667 1 0.222222 0 0.945578 4.55102 5.89583 4.32653 6.66667 4.25 4 1.44444 1.66667 2.70667 4 4 6.66667 6.21333 2.82667 6.66667 3.66667 2.9932 3.36111 2.79167 3.66667 3.16667 3.66667 2.7483 3.17687 3.66667 2.85034 2.72917 2.70667 2.91667 3.66667 3.17687 3.66667 3.66667 3.66667 6.66667 4 4 7.66667 7.66667 1.64626 7.66667 5.66667 5.08844 6.66667 5 4 4.33333 4 4 1.70748 4 2.83333 2.52778 6.66667 5.82812 2.55556 3.77778 3.05729 3.03401 3.85034
8.18367 4.18367 2.5051 5.18367 4.43367 4.18367 5.29478 4.18367 5.18367 4.62812 4.18367 5.18367 5.18367 10.1837 4.71429 8.18367 5.18367 5.18367 4.18367 5.18367 5.82367 4.48923 4.18367 1.78685 0.723356 0.945578 0 7.46939 9.49617 8.5102 10.1837 7.10034 8.18367 2.23129 1.18367 4.22367 8.18367 6.18367 10.1837 9.46367 4.34367 10.1837 5.18367 4.5102 4.87812 4.30867 5.18367 4.68367 5.18367 4.26531 4.69388 5.18367 4.36735 4.24617 4.22367 4.43367 5.18367 4.69388 5.18367 5.18367 5.18367 10.1837 8.18367 8.18367 11.1837 11.1837 4.30612 11.1837 7.18367 8.79592 10.1837 9.18367 8.18367 3.18367 8.18367 8.18367 1.22449 8.18367 4.68367 4.26701 10.1837 9.2618 5.85034 2.62812 4.5743 4.55102 5.36735
0.836735 4.55102 1.44388 5.55102 4.80102 4.55102 5.66213 4.55102 5.55102 4.99546 4.55102 5.55102 5.55102 0.265306 5.08163 3.40816 5.55102 5.55102 4.55102 5.55102 6.19102 4.85658 4.55102 4.63039 4.90023 4.55102 7.46939 0 0.220663 3.73469 0.265306 0.610544 3.40816 5.07483 6.69388 4.59102 3.40816 4.83673 0.265306 0.23102 4.71102 0.265306 5.55102 4.87755 5.24546 4.67602 5.55102 5.05102 5.55102 4.63265 5.06122 5.55102 4.73469 4.61352 4.59102 4.80102 5.55102 5.06122 5.55102 5.55102 5.55102 0.265306 3.40816 3.40816 1.26531 1.26531 2.95918 1.26531 7.55102 0.346939 0.265306 4.40816 3.40816 10.4082 3.40816 3.40816 6.73469 3.40816 0.979592 4.06293 0.265306 0.200574 3.07483 9.85261 4.94165 4.91837 5.73469
0.5625 5.3125 2.4375 6.3125 5.5625 5.3125 6.42361 5.3125 6.3125 5.75694 5.3125 6.3125 6.3125 0.0625 5.84311 3.0625 6.3125 6.3125 5.3125 6.3125 6.9525 5.61806 5.3125 5.86806 6.42361 5.89583 9.49617 0.220663 0 3.38903 0.0625 0.729167 3.0625 6.3125 8.3125 5.3525 3.0625 5.3125 0.0625 0.1425 5.4725 0.0625 6.3125 5.63903 6.00694 5.4375 6.3125 5.8125 6.3125 5.39413 5.8227 6.3125 5.49617 5.375 5.3525 5.5625 6.3125 5.8227 6.3125 6.3125 6.3125 0.0625 3.0625 3.0625 1.0625 1.0625 3.25638 1.0625 8.3125 0.103316 0.0625 4.0625 3.0625 12.3125 3.0625 3.0625 8.35332 3.0625 1.53125 4.72917 0.0625 0.046875 3.10417 11.7569 5.70312 5.67985 6.49617
1.32653 4.32653 4.07653 5.32653 4.57653 4.32653 5.43764 4.32653 5.32653 4.77098 4.32653 5.32653 5.32653 4.32653 4.85714 0.326531 5.32653 5.32653 4.32653 5.32653 5.96653 4.63209 4.32653 4.88209 5.43764 4.32653 8.5102 3.73469 3.38903 0 4.32653 3.2432 0.326531 5.32653 7.32653 4.36653 0.326531 4.32653 4.32653 4.40653 4.48653 4.32653 5.32653 4.65306 5.02098 4.45153 5.32653 4.82653 5.32653 4.40816 4.83673 5.32653 4.5102 4.38903 4.36653 4.57653 5.32653 4.83673 5.32653 5.32653 5.32653 4.32653 0.326531 0.326531 5.32653 5.32653 1.02041 5.32653 7.32653 2.36735 4.32653 1.32653 0.326531 11.3265 0.326531 0.326531 7.36735 0.326531 3.82653 3.7432 4.32653 3.65466 0.659864 10.771 4.71716 4.69388 5.5102
1 6 2.75 7 6.25 6 7.11111 6 7 6.44444 6 7 7 0 6.53061 4 7 7 6 7 7.64 6.30556 6 6.55556 7.11111 6.66667 10.1837 0.265306 0.0625 4.32653 0 0.916667 4 7 9 6.04 4 6 0 0.08 6.16 0 7 6.32653 6.69444 6.125 7 6.5 7 6.08163 6.5102 7 6.18367 6.0625 6.04 6.25 7 6.5102 7 7 7 0 4 4 1 1 4.12245 1 9 0.326531 0 5 4 13 4 4 9.04082 4 1.75 5.41667 0 0.078125 4 12.4444 6.39062 6.36735 7.18367
0.916667 2.91667 1.66667 3.25 2.83333 2.91667 3.36111 2.91667 3.25 2.91667 2.91667 3.25 3.25 0.916667 2.97109 2.91667 3.25 3.25 2.91667 3.25 3.89 2.88889 2.91667 3.47222 4.47222 4.25 7.10034 0.610544 0.729167 3.2432 0.916667 0 2.91667 3.47222 6.58333 2.82333 2.91667 2.91667 0.916667 0.73 2.81 0.916667 3.25 2.86224 3.05556 2.875 3.25 3.08333 3.25 2.80782 2.95068 3.25 2.81463 2.8125 2.82333 2.83333 3.25 2.95068 3.91667 3.25 3.25 0.916667 2.91667 2.91667 1.91667 1.91667 2.46769 1.91667 5.58333 0.671769 0.916667 3.91667 2.91667 9.91667 2.91667 2.91667 6.62415 2.91667 1.25 2.55556 0.916667 0.578125 2.58333 9.36111 2.89062 2.9983 3.43367
1 4 3.75 5 4.25 4 5.11111 4 5 4.44444 4 5 5 4 4.53061 0 5 5 4 5 5.64 4.30556 4 4.55556 5.11111 4 8.18367 3.40816 3.0625 0.326531 4 2.91667 0 5 7 4.04 0 4 4 4.08 4.16 4 5 4.32653 4.69444 4.125 5 4.5 5 4.08163 4.5102 5 4.18367 4.0625 4.04 4.25 5 4.5102 5 5 5 4 0 0 5 5 0.693878 5 7 2.04082 4 1 0 11 0 0 7.04082 0 3.5 3.41667 4 3.32812 0.333333 10.4444 4.39062 4.36735 5.18367
5 1 2.08333 0.666667 0.583333 1 0.777778 1 0.666667 0.555556 1 0.666667 0.666667 7 0.578231 5 0.666667 0.666667 1 0.666667 1.30667 0.638889 1 0.444444 1.22222 1.44444 2.23129 5.07483 6.3125 5.32653 7 3.47222 5 0 3.33333 0.773333 5 1.66667 7 6.28 0.626667 7 0.666667 0.564626 0.583333 0.791667 0.666667 0.833333 0.666667 0.70068 0.557823 0.666667 0.612245 0.729167 0.773333 0.583333 0.666667 0.557823 2 0.666667 0.666667 7 5 5 8 8 2.64626 8 3.33333 5.61224 7 6 5 5.33333 5 5 3.37415 5 3.5 1.08333 7 5.91146 3.55556 4.77778 0.557292 0.795918 0.85034
7 5 2.75 6 5.25 5 6.11111 5 6 5.44444 5 6 6 9 5.53061 7 6 6 5 6 6.64 5.30556 5 2.88889 1.44444 1.66667 1.18367 6.69388 8.3125 7.32653 9 6.58333 7 3.33333 0 5.04 7 5 9 8.28 5.16 9 6 5.32653 5.69444 5.125 6 5.5 6 5.08163 5.5102 6 5.18367 5.0625 5.04 5.25 6 5.5102 6 6 6 9 7 7 10 10 3.69388 10 8 7.61224 9 8 7 4 7 7 0.0408163 7 3.5 5.08333 9 8.32812 5 3.44444 5.39062 5.36735 6.18367
4.04 0.04 2.79 0.64 0.09 0.04 0.751111 0.04 0.64 0.217778 0.04 0.64 0.64 6.04 0.284898 4.04 0.64 0.64 0.04 0.64 1.28 0.145556 0.04 0.595556 2.48444 2.70667 4.22367 4.59102 5.3525 4.36653 6.04 2.82333 4.04 0.773333 5.04 0 4.04 1.64 6.04 5.32 0.04 6.04 0.64 0.137959 0.401111 0.065 0.64 0.34 0.64 0.00734694 0.26449 0.64 0.0522449 0.0025 0 0.09 0.64 0.26449 1.04 0.64 0.64 6.04 4.04 4.04 7.04 7.04 2.44816 7.04 2.84 4.65224 6.04 5.04 4.04 7.04 4.04 4.04 5.08082 4.04 3.54 0.123333 6.04 5.06813 3.04 6.48444 0.180625 0.235918 0.823673
1 4 3.75 5 4.25 4 5.11111 4 5 4.44444 4 5 5 4 4.53061 0 5 5 4 5 5.64 4.30556 4 4.55556 5.11111 4 8.18367 3.40816 3.0625 0.326531 4 2.91667 0 5 7 4.04 0 4 4 4.08 4.16 4 5 4.32653 4.69444 4.125 5 4.5 5 4.08163 4.5102 5 4.18367 4.0625 4.04 4.25 5 4.5102 5 5 5 4 0 0 5 5 0.693878 5 7 2.04082 4 1 0 11 0 0 7.04082 0 3.5 3.41667 4 3.32812 0.333333 10.4444 4.39062 4.36735 5.18367
4 2 3.75 1 1.25 2 1.11111 2 1 1.11111 2 1 1 6 1.10204 4 1 1 2 1 1.64 1.30556 2 2.55556 3.77778 4 6.18367 4.83673 5.3125 4.32653 6 2.91667 4 1.66667 5 1.64 4 0 6 5.28 1.36 6 1 1.18367 1.02778 1.625 1 1.5 1 1.5102 1.08163 1 1.32653 1.5625 1.64 1.25 1 1.08163 3 1 1 6 4 4 7 7 2.97959 7 4 4.61224 6 5 4 9 4 4 5.04082 4 3.5 2.08333 6 5.07812 3.33333 8.44444 1.14062 1.5102 1.18367
1 6 2.75 7 6.25 6 7.11111 6 7 6.44444 6 7 7 0 6.53061 4 7 7 6 7 7.64 6.30556 6 6.55556 7.11111 6.66667 10.1837 0.265306 0.0625 4.32653 0 0.916667 4 7 9 6.04 4 6 0 0.08 6.16 0 7 6.32653 6.69444 6.125 7 6.5 7 6.08163 6.5102 7 6.18367 6.0625 6.04 6.25 7 6.5102 7 7 7 0 4 4 1 1 4.12245 1 9 0.326531 0 5 4 13 4 4 9.04082 4 1.75 5.41667 0 0.078125 4 12.4444 6.39062 6.36735 7.18367
1.08 5.28 2.43 6.28 5.53 5.28 6.39111 5.28 6.28 5.72444 5.28 6.28 6.28 0.08 5.81061 4.08 6.28 6.28 5.28 6.28 6.92 5.58556 5.28 5.83556 6.52444 6.21333 9.46367 0.23102 0.1425 4.40653 0.08 0.73 4.08 6.28 8.28 5.32 4.08 5.28 0.08 0 5.44 0.08 6.28 5.60653 5.97444 5.405 6.28 5.78 6.28 5.36163 5.7902 6.28 5.46367 5.3425 5.32 5.53 6.28 5.7902 6.28 6.28 6.28 0.08 4.08 4.08 1.08 1.08 3.97388 1.08 8.28 0.406531 0.08 5.08 4.08 12.28 4.08 4.08 8.32082 4.08 1.43 4.83 0.08 0.158125 3.94667 11.7244 5.67063 5.64735 6.46367
4.16 0.16 2.91 0.36 0.01 0.16 0.471111 0.16 0.36 0.0711111 0.16 0.36 0.36 6.16 0.119184 4.16 0.36 0.36 0.16 0.36 1 0.0655556 0.16 0.715556 2.60444 2.82667 4.34367 4.71102 5.4725 4.48653 6.16 2.81 4.16 0.626667 5.16 0.04 4.16 1.36 6.16 5.44 0 6.16 0.36 0.0293878 0.187778 0.085 0.36 0.26 0.36 0.0130612 0.0987755 0.36 0.000816327 0.0225 0.04 0.01 0.36 0.0987755 1.16 0.36 0.36 6.16 4.16 4.16 7.16 7.16 2.56816 7.16 2.76 4.77224 6.16 5.16 4.16 7.16 4.16 4.16 5.20082 4.16 3.66 0.243333 6.16 5.13813 3.16 6.60444 0.050625 0.18449 0.543673
1 6 2.75 7 6.25 6 7.11111 6 7 6.44444 6 7 7 0 6.53061 4 7 7 6 7 7.64 6.30556 6 6.55556 7.11111 6.66667 10.1837 0.265306 0.0625 4.32653 0 0.916667 4 7 9 6.04 4 6 0 0.08 6.16 0 7 6.32653 6.69444 6.125 7 6.5 7 6.08163 6.5102 7 6.18367 6.0625 6.04 6.25 7 6.5102 7 7 7 0 4 4 1 1 4.12245 1 9 0.326531 0 5 4 13 4 4 9.04082 4 1.75 5.41667 0 0.078125 4 12.4444 6.39062 6.36735 7.18367
5 1 3.75 0 0.25 1 0.111111 1 0 0.111111 1 0 0 7 0.102041 5 0 0 1 0 0.64 0.305556 1 1.55556 3.44444 3.66667 5.18367 5.55102 6.3125 5.32653 7 3.25 5 0.666667 6 0.64 5 1 7 6.28 0.36 7 0 0.183673 0.0277778 0.625 0 0.5 0 0.510204 0.0816327 0 0.326531 0.5625 0.64 0.25 0 0.0816327 2 0 0 7 5 5 8 8 3.40816 8 3 5.61224 7 6 5 8 5 5 6.04082 5 4.5 1.08333 7 5.82812 4 7.44444 0.140625 0.510204 0.183673
4.32653 0.326531 3.07653 0.183673 0.00510204 0.326531 0.294785 0.326531 0.183673 0.00907029 0.326531 0.183673 0.183673 6.32653 0.0408163 4.32653 0.183673 0.183673 0.326531 0.183673 0.823673 0.0606576 0.326531 0.882086 2.77098 2.9932 4.5102 4.87755 5.63903 4.65306 6.32653 2.86224 4.32653 0.564626 5.32653 0.137959 4.32653 1.18367 6.32653 5.60653 0.0293878 6.32653 0.183673 0 0.0685941 0.165816 0.183673 0.255102 0.183673 0.0816327 0.0204082 0.183673 0.0204082 0.103316 0.137959 0.00510204 0.183673 0.0204082 1.32653 0.183673 0.183673 6.32653 4.32653 4.32653 7.32653 7.32653 2.73469 7.32653 2.7551 4.93878 6.32653 5.32653 4.32653 7.32653 4.32653 4.32653 5.36735 4.32653 3.82653 0.409864 6.32653 5.2618 3.32653 6.77098 0.0028699 0.204082 0.367347
4.69444 0.694444 3.44444 0.0277778 0.111111 0.694444 0.138889 0.694444 0.0277778 0.0277778 0.694444 0.0277778 0.0277778 6.69444 0.0345805 4.69444 0.0277778 0.0277778 0.694444 0.0277778 0.667778 0.166667 0.694444 1.25 3.13889 3.36111 4.87812 5.24546 6.00694 5.02098 6.69444 3.05556 4.69444 0.583333 5.69444 0.401111 4.69444 1.02778 6.69444 5.97444 0.187778 6.69444 0.0277778 0.0685941 0 0.402778 0.0277778 0.361111 0.0277778 0.299887 0.0141723 0.0277778 0.163832 0.340278 0.401111 0.111111 0.0277778 0.0141723 1.69444 0.0277778 0.0277778 6.69444 4.69444 4.69444 7.69444 7.69444 3.10261 7.69444 2.86111 5.30669 6.69444 5.69444 4.69444 7.69444 4.69444 4.69444 5.73526 4.69444 4.19444 0.777778 6.69444 5.56424 3.69444 7.13889 0.0434028 0.347506 0.211451
4.125 0.125 2.875 0.625 0.125 0.125 0.736111 0.125 0.625 0.236111 0.125 0.625 0.625 6.125 0.298469 4.125 0.625 0.625 0.125 0.625 1.265 0.180556 0.125 0.680556 2.56944 2.79167 4.30867 4.67602 5.4375 4.45153 6.125 2.875 4.125 0.791667 5.125 0.065 4.125 1.625 6.125 5.405 0.085 6.125 0.625 0.165816 0.402778 0 0.625 0.375 0.625 0.0637755 0.278061 0.625 0.0943878 0.0625 0.065 0.125 0.625 0.278061 1.125 0.625 0.625 6.125 4.125 4.125 7.125 7.125 2.53316 7.125 2.875 4.73724 6.125 5.125 4.125 7.125 4.125 4.125 5.16582 4.125 3.625 0.208333 6.125 5.14062 3.125 6.56944 0.203125 0.278061 0.808673
5 1 3.75 0 0.25 1 0.111111 1 0 0.111111 1 0 0 7 0.102041 5 0 0 1 0 0.64 0.305556 1 1.55556 3.44444 3.66667 5.18367 5.55102 6.3125 5.32653 7 3.25 5 0.666667 6 0.64 5 1 7 6.28 0.36 7 0 0.183673 0.0277778 0.625 0 0.5 0 0.510204 0.0816327 0 0.326531 0.5625 0.64 0.25 0 0.0816327 2 0 0 7 5 5 8 8 3.40816 8 3 5.61224 7 6 5 8 5 5 6.04082 5 4.5 1.08333 7 5.82812 4 7.44444 0.140625 0.510204 0.183673
4.5 0.5 3.25 0.5 0.25 0.5 0.611111 0.5 0.5 0.277778 0.5 0.5 0.5 6.5 0.316327 4.5 0.5 0.5 0.5 0.5 1.14 0.305556 0.5 1.05556 2.94444 3.16667 4.68367 5.05102 5.8125 4.82653 6.5 3.08333 4.5 0.833333 5.5 0.34 4.5 1.5 6.5 5.78 0.26 6.5 0.5 0.255102 0.361111 0.375 0.5 0 0.5 0.295918 0.295918 0.5 0.255102 0.3125 0.34 0.25 0.5 0.295918 1.5 0.5 0.5 6.5 4.5 4.5 7.5 7.5 2.90816 7.5 3 5.11224 6.5 5.5 4.5 7.5 4.5 4.5 5.54082 4.5 4 0.583333 6.5 5.45312 3.5 6.94444 0.265625 0.438776 0.683673
5 1 3.75 0 0.25 1 0.111111 1 0 0.111111 1 0 0 7 0.102041 5 0 0 1 0 0.64 0.305556 1 1.55556 3.44444 3.66667 5.18367 5.55102 6.3125 5.32653 7 3.25 5 0.666667 6 0.64 5 1 7 6.28 0.36 7 0 0.183673 0.0277778 0.625 0 0.5 0 0.510204 0.0816327 0 0.326531 0.5625 0.64 0.25 0 0.0816327 2 0 0 7 5 5 8 8 3.40816 8 3 5.61224 7 6 5 8 5 5 6.04082 5 4.5 1.08333 7 5.82812 4 7.44444 0.140625 0.510204 0.183673
4.08163 0.0816327 2.83163 0.510204 0.0459184 0.0816327 0.621315 0.0816327 0.510204 0.145125 0.0816327 0.510204 0.510204 6.08163 0.204082 4.08163 0.510204 0.510204 0.0816327 0.510204 1.1502 0.101474 0.0816327 0.637188 2.52608 2.7483 4.26531 4.63265 5.39413 4.40816 6.08163 2.80782 4.08163 0.70068 5.08163 0.00734694 4.08163 1.5102 6.08163 5.36163 0.0130612 6.08163 0.510204 0.0816327 0.299887 0.0637755 0.510204 0.295918 0.510204 0 0.183673 0.510204 0.0204082 0.00127551 0.00734694 0.0459184 0.510204 0.183673 1.08163 0.510204 0.510204 6.08163 4.08163 4.08163 7.08163 7.08163 2.4898 7.08163 2.79592 4.69388 6.08163 5.08163 4.08163 7.08163 4.08163 4.08163 5.12245 4.08163 3.58163 0.164966 6.08163 5.08833 3.08163 6.52608 0.115115 0.204082 0.693878
4.5102 0.510204 3.2602 0.0816327 0.0459184 0.510204 0.192744 0.510204 0.0816327 0.00226757 0.510204 0.0816327 0.0816327 6.5102 0.0204082 4.5102 0.0816327 0.0816327 0.510204 0.0816327 0.721633 0.101474 0.510204 1.06576 2.95465 3.17687 4.69388 5.06122 5.8227 4.83673 6.5102 2.95068 4.5102 0.557823 5.5102 0.26449 4.5102 1.08163 6.5102 5.7902 0.0987755 6.5102 0.0816327 0.0204082 0.0141723 0.278061 0.0816327 0.295918 0.0816327 0.183673 0 0.0816327 0.0816327 0.215561 0.26449 0.0459184 0.0816327 0 1.5102 0.0816327 0.0816327 6.5102 4.5102 4.5102 7.5102 7.5102 2.91837 7.5102 2.79592 5.12245 6.5102 5.5102 4.5102 7.5102 4.5102 4.5102 5.55102 4.5102 4.0102 0.593537 6.5102 5.40976 3.5102 6.95465 0.00797194 0.265306 0.265306
5 1 3.75 0 0.25 1 0.111111 1 0 0.111111 1 0 0 7 0.102041 5 0 0 1 0 0.64 0.305556 1 1.55556 3.44444 3.66667 5.18367 5.55102 6.3125 5.32653 7 3.25 5 0.666667 6 0.64 5 1 7 6.28 0.36 7 0 0.183673 0.0277778 0.625 0 0.5 0 0.510204 0.0816327 0 0.326531 0.5625 0.64 0.25 0 0.0816327 2 0 0 7 5 5 8 8 3.40816 8 3 5.61224 7 6 5 8 5 5 6.04082 5 4.5 1.08333 7 5.82812 4 7.44444 0.140625 0.510204 0.183673
4.18367 0.183673 2.93367 0.326531 0.00510204 0.183673 0.437642 0.183673 0.326531 0.0566893 0.183673 0.326531 0.326531 6.18367 0.102041 4.18367 0.326531 0.326531 0.183673 0.326531 0.966531 0.0606576 0.183673 0.739229 2.62812 2.85034 4.36735 4.73469 5.49617 4.5102 6.18367 2.81463 4.18367 0.612245 5.18367 0.0522449 4.18367 1.32653 6.18367 5.46367 0.000816327 6.18367 0.326531 0.0204082 0.163832 0.0943878 0.326531 0.255102 0.326531 0.0204082 0.0816327 0.326531 0 0.0318878 0.0522449 0.00510204 0.326531 0.0816327 1.18367 0.326531 0.326531 6.18367 4.18367 4.18367 7.18367 7.18367 2.59184 7.18367 2.7551 4.79592 6.18367 5.18367 4.18367 7.18367 4.18367 4.18367 5.22449 4.18367 3.68367 0.267007 6.18367 5.15466 3.18367 6.62812 0.0385842 0.183673 0.510204
4.0625 0.0625 2.8125 0.5625 0.0625 0.0625 0.673611 0.0625 0.5625 0.173611 0.0625 0.5625 0.5625 6.0625 0.235969 4.0625 0.5625 0.5625 0.0625 0.5625 1.2025 0.118056 0.0625 0.618056 2.50694 2.72917 4.24617 4.61352 5.375 4.38903 6.0625 2.8125 4.0625 0.729167 5.0625 0.0025 4.0625 1.5625 6.0625 5.3425 0.0225 6.0625 0.5625 0.103316 0.340278 0.0625 0.5625 0.3125 0.5625 0.00127551 0.215561 0.5625 0.0318878 0 0.0025 0.0625 0.5625 0.215561 1.0625 0.5625 0.5625 6.0625 4.0625 4.0625 7.0625 7.0625 2.47066 7.0625 2.8125 4.67474 6.0625 5.0625 4.0625 7.0625 4.0625 4.0625 5.10332 4.0625 3.5625 0.145833 6.0625 5.07812 3.0625 6.50694 0.140625 0.215561 0.746173
4.04 0.04 2.79 0.64 0.09 0.04 0.751111 0.04 0.64 0.217778 0.04 0.64 0.64 6.04 0.284898 4.04 0.64 0.64 0.04 0.64 1.28 0.145556 0.04 0.595556 2.48444 2.70667 4.22367 4.59102 5.3525 4.36653 6.04 2.82333 4.04 0.773333 5.04 0 4.04 1.64 6.04 5.32 0.04 6.04 0.64 0.137959 0.401111 0.065 0.64 0.34 0.64 0.00734694 0.26449 0.64 0.0522449 0.0025 0 0.09 0.64 0.26449 1.04 0.64 0.64 6.04 4.04 4.04 7.04 7.04 2.44816 7.04 2.84 4.65224 6.04 5.04 4.04 7.04 4.04 4.04 5.08082 4.04 3.54 0.123333 6.04 5.06813 3.04 6.48444 0.180625 0.235918 0.823673
4.25 0.25 3 0.25 0 0.25 0.361111 0.25 0.25 0.0277778 0.25 0.25 0.25 6.25 0.0663265 4.25 0.25 0.25 0.25 0.25 0.89 0.0555556 0.25 0.805556 2.69444 2.91667 4.43367 4.80102 5.5625 4.57653 6.25 2.83333 4.25 0.583333 5.25 0.09 4.25 1.25 6.25 5.53 0.01 6.25 0.25 0.00510204 0.111111 0.125 0.25 0.25 0.25 0.0459184 0.0459184 0.25 0.00510204 0.0625 0.09 0 0.25 0.0459184 1.25 0.25 0.25 6.25 4.25 4.25 7.25 7.25 2.65816 7.25 2.75 4.86224 6.25 5.25 4.25 7.25 4.25 4.25 5.29082 4.25 3.75 0.333333 6.25 5.20312 3.25 6.69444 0.015625 0.188776 0.433673
5 1 3.75 0 0.25 1 0.111111 1 0 0.111111 1 0 0 7 0.102041 5 0 0 1 0 0.64 0.305556 1 1.55556 3.44444 3.66667 5.18367 5.55102 6.3125 5.32653 7 3.25 5 0.666667 6 0.64 5 1 7 6.28 0.36 7 0 0.183673 0.0277778 0.625 0 0.5 0 0.510204 0.0816327 0 0.326531 0.5625 0.64 0.25 0 0.0816327 2 0 0 7 5 5 8 8 3.40816 8 3 5.61224 7 6 5 8 5 5 6.04082 5 4.5 1.08333 7 5.82812 4 7.44444 0.140625 0.510204 0.183673
4.5102 0.510204 3.2602 0.0816327 0.0459184 0.510204 0.192744 0.510204 0.0816327 0.00226757 0.510204 0.0816327 0.0816327 6.5102 0.0204082 4.5102 0.0816327 0.0816327 0.510204 0.0816327 0.721633 0.101474 0.510204 1.06576 2.95465 3.17687 4.69388 5.06122 5.8227 4.83673 6.5102 2.95068 4.5102 0.557823 5.5102 0.26449 4.5102 1.08163 6.5102 5.7902 0.0987755 6.5102 0.0816327 0.0204082 0.0141723 0.278061 0.0816327 0.295918 0.0816327 0.183673 0 0.0816327 0.0816327 0.215561 0.26449 0.0459184 0.0816327 0 1.5102 0.0816327 0.0816327 6.5102 4.5102 4.5102 7.5102 7.5102 2.91837 7.5102 2.79592 5.12245 6.5102 5.5102 4.5102 7.5102 4.5102 4.5102 5.55102 4.5102 4.0102 0.593537 6.5102 5.40976 3.5102 6.95465 0.00797194 0.265306 0.265306
5 1 3.75 2 1.25 1 2.11111 1 2 1.44444 1 2 2 7 1.53061 5 2 2 1 2 2.64 1.30556 1 1.55556 3.44444 3.66667 5.18367 5.55102 6.3125 5.32653 7 3.91667 5 2 6 1.04 5 3 7 6.28 1.16 7 2 1.32653 1.69444 1.125 2 1.5 2 1.08163 1.5102 2 1.18367 1.0625 1.04 1.25 2 1.5102 0 2 2 7 5 5 8 8 3.40816 8 4 5.61224 7 6 5 8 5 5 6.04082 5 4.5 1.08333 7 6.07812 4 7.44444 1.39062 1.36735 2.18367
5 1 3.75 0 0.25 1 0.111111 1 0 0.111111 1 0 0 7 0.102041 5 0 0 1 0 0.64 0.305556 1 1.55556 3.44444 3.66667 5.18367 5.55102 6.3125 5.32653 7 3.25 5 0.666667 6 0.64 5 1 7 6.28 0.36 7 0 0.183673 0.0277778 0.625 0 0.5 0 0.510204 0.0816327 0 0.326531 0.5625 0.64 0.25 0 0.0816327 2 0 0 7 5 5 8 8 3.40816 8 3 5.61224 7 6 5 8 5 5 6.04082 5 4.5 1.08333 7 5.82812 4 7.44444 0.140625 0.510204 0.183673
5 1 3.75 0 0.25 1 0.111111 1 0 0.111111 1 0 0 7 0.102041 5 0 0 1 0 0.64 0.305556 1 1.55556 3.44444 3.66667 5.18367 5.55102 6.3125 5.32653 7 3.25 5 0.666667 6 0.64 5 1 7 6.28 0.36 7 0 0.183673 0.0277778 0.625 0 0.5 0 0.510204 0.0816327 0 0.326531 0.5625 0.64 0.25 0 0.0816327 2 0 0 7 5 5 8 8 3.40816 8 3 5.61224 7 6 5 8 5 5 6.04082 5 4.5 1.08333 7 5.82812 4 7.44444 0.140625 0.510204 0.183673
1 6 2.75 7 6.25 6 7.11111 6 7 6.44444 6 7 7 0 6.53061 4 7 7 6 7 7.64 6.30556 6 6.55556 7.11111 6.66667 10.1837 0.265306 0.0625 4.32653 0 0.916667 4 7 9 6.04 4 6 0 0.08 6.16 0 7 6.32653 6.69444 6.125 7 6.5 7 6.08163 6.5102 7 6.18367 6.0625 6.04 6.25 7 6.5102 7 7 7 0 4 4 1 1 4.12245 1 9 0.326531 0 5 4 13 4 4 9.04082 4 1.75 5.41667 0 0.078125 4 12.4444 6.39062 6.36735 7.18367
1 4 3.75 5 4.25 4 5.11111 4 5 4.44444 4 5 5 4 4.53061 0 5 5 4 5 5.64 4.30556 4 4.55556 5.11111 4 8.18367 3.40816 3.0625 0.326531 4 2.91667 0 5 7 4.04 0 4 4 4.08 4.16 4 5 4.32653 4.69444 4.125 5 4.5 5 4.08163 4.5102 5 4.18367 4.0625 4.04 4.25 5 4.5102 5 5 5 4 0 0 5 5 0.693878 5 7 2.04082 4 1 0 11 0 0 7.04082 0 3.5 3.41667 4 3.32812 0.333333 10.4444 4.39062 4.36735 5.18367
1 4 3.75 5 4.25 4 5.11111 4 5 4.44444 4 5 5 4 4.53061 0 5 5 4 5 5.64 4.30556 4 4.55556 5.11111 4 8.18367 3.40816 3.0625 0.326531 4 2.91667 0 5 7 4.04 0 4 4 4.08 4.16 4 5 4.32653 4.69444 4.125 5 4.5 5 4.08163 4.5102 5 4.18367 4.0625 4.04 4.25 5 4.5102 5 5 5 4 0 0 5 5 0.693878 5 7 2.04082 4 1 0 11 0 0 7.04082 0 3.5 3.41667 4 3.32812 0.333333 10.4444 4.39062 4.36735 5.18367
2 7 3.75 8 7.25 7 8.11111 7 8 7.44444 7 8 8 1 7.53061 5 8 8 7 8 8.64 7.30556 7 7.55556 8.11111 7.66667 11.1837 1.26531 1.0625 5.32653 1 1.91667 5 8 10 7.04 5 7 1 1.08 7.16 1 8 7.32653 7.69444 7.125 8 7.5 8 7.08163 7.5102 8 7.18367 7.0625 7.04 7.25 8 7.5102 8 8 8 1 5 5 0 0 5.12245 2 10 1.32653 1 6 5 14 5 5 10.0408 5 2.75 6.41667 1 1.07812 5 13.4444 7.39062 7.36735 8.18367
2 7 3.75 8 7.25 7 8.11111 7 8 7.44444 7 8 8 1 7.53061 5 8 8 7 8 8.64 7.30556 7 7.55556 8.11111 7.66667 11.1837 1.26531 1.0625 5.32653 1 1.91667 5 8 10 7.04 5 7 1 1.08 7.16 1 8 7.32653 7.69444 7.125 8 7.5 8 7.08163 7.5102 8 7.18367 7.0625 7.04 7.25 8 7.5102 8 8 8 1 5 5 0 0 5.12245 2 10 1.32653 1 6 5 14 5 5 10.0408 5 2.75 6.41667 1 1.07812 5 13.4444 7.39062 7.36735 8.18367
1.40816 2.40816 1.87245 3.40816 2.65816 2.40816 3.51927 2.40816 3.40816 2.85261 2.40816 3.40816 3.40816 4.12245 2.93878 0.693878 3.40816 3.40816 2.40816 3.40816 4.04816 2.71372 2.40816 2.20181 2.37642 1.64626 4.30612 2.95918 3.25638 1.02041 4.12245 2.46769 0.693878 2.64626 3.69388 2.44816 0.693878 2.97959 4.12245 3.97388 2.56816 4.12245 3.40816 2.73469 3.10261 2.53316 3.40816 2.90816 3.40816 2.4898 2.91837 3.40816 2.59184 2.47066 2.44816 2.65816 3.40816 2.91837 3.40816 3.40816 3.40816 4.12245 0.693878 0.693878 5.12245 5.12245 0 5.12245 5.40816 2.32653 4.12245 1.69388 0.693878 7.12245 0.693878 0.693878 3.73469 0.693878 2.19388 2.01531 4.12245 3.37915 0.265306 6.56689 2.79879 2.77551 3.59184
2 7 3.75 8 7.25 7 8.11111 7 8 7.44444 7 8 8 1 7.53061 5 8 8 7 8 8.64 7.30556 7 7.55556 8.11111 7.66667 11.1837 1.26531 1.0625 5.32653 1 1.91667 5 8 10 7.04 5 7 1 1.08 7.16 1 8 7.32653 7.69444 7.125 8 7.5 8 7.08163 7.5102 8 7.18367 7.0625 7.04 7.25 8 7.5102 8 8 8 1 5 5 2 2 5.12245 0 10 1.32653 1 6 5 14 5 5 10.0408 5 2.75 6.41667 1 1.07812 5 13.4444 7.39062 7.36735 8.18367
7 3 5.75 3 2.75 3 3.11111 3 3 2.77778 3 3 3 9 2.81633 7 3 3 3 3 3.64 2.80556 3 3.55556 5.44444 5.66667 7.18367 7.55102 8.3125 7.32653 9 5.58333 7 3.33333 8 2.84 7 4 9 8.28 2.76 9 3 2.7551 2.86111 2.875 3 3 3 2.79592 2.79592 3 2.7551 2.8125 2.84 2.75 3 2.79592 4 3 3 9 7 7 10 10 5.40816 10 0 7.61224 9 8 7 10 7 7 8.04082 7 6.5 3.08333 9 7.95312 6 9.44444 2.76562 2.93878 3.18367
0.183673 4.61224 2.21939 5.61224 4.86224 4.61224 5.72336 4.61224 5.61224 5.05669 4.61224 5.61224 5.61224 0.326531 5.14286 2.04082 5.61224 5.61224 4.61224 5.61224 6.25224 4.9178 4.61224 5.1678 5.72336 5.08844 8.79592 0.346939 0.103316 2.36735 0.326531 0.671769 2.04082 5.61224 7.61224 4.65224 2.04082 4.61224 0.326531 0.406531 4.77224 0.326531 5.61224 4.93878 5.30669 4.73724 5.61224 5.11224 5.61224 4.69388 5.12245 5.61224 4.79592 4.67474 4.65224 4.86224 5.61224 5.12245 5.61224 5.61224 5.61224 0.326531 2.04082 2.04082 1.32653 1.32653 2.32653 1.32653 7.61224 0 0.326531 3.04082 2.04082 11.6122 2.04082 2.04082 7.65306 2.04082 1.43367 4.02891 0.326531 0.19037 2.13605 11.0567 5.00287 4.97959 5.79592
1 6 2.75 7 6.25 6 7.11111 6 7 6.44444 6 7 7 0 6.53061 4 7 7 6 7 7.64 6.30556 6 6.55556 7.11111 6.66667 10.1837 0.265306 0.0625 4.32653 0 0.916667 4 7 9 6.04 4 6 0 0.08 6.16 0 7 6.32653 6.69444 6.125 7 6.5 7 6.08163 6.5102 7 6.18367 6.0625 6.04 6.25 7 6.5102 7 7 7 0 4 4 1 1 4.12245 1 9 0.326531 0 5 4 13 4 4 9.04082 4 1.75 5.41667 0 0.078125 4 12.4444 6.39062 6.36735 7.18367
2 5 4.75 6 5.25 5 6.11111 5 6 5.44444 5 6 6 5 5.53061 1 6 6 5 6 6.64 5.30556 5 5.55556 6.11111 5 9.18367 4.40816 4.0625 1.32653 5 3.91667 1 6 8 5.04 1 5 5 5.08 5.16 5 6 5.32653 5.69444 5.125 6 5.5 6 5.08163 5.5102 6 5.18367 5.0625 5.04 5.25 6 5.5102 6 6 6 5 1 1 6 6 1.69388 6 8 3.04082 5 0 1 12 1 1 8.04082 1 4.5 4.41667 5 4.32812 1.33333 11.4444 5.39062 5.36735 6.18367
1 4 3.75 5 4.25 4 5.11111 4 5 4.44444 4 5 5 4 4.53061 0 5 5 4 5 5.64 4.30556 4 4.55556 5.11111 4 8.18367 3.40816 3.0625 0.326531 4 2.91667 0 5 7 4.04 0 4 4 4.08 4.16 4 5 4.32653 4.69444 4.125 5 4.5 5 4.08163 4.5102 5 4.18367 4.0625 4.04 4.25 5 4.5102 5 5 5 4 0 0 5 5 0.693878 5 7 2.04082 4 1 0 11 0 0 7.04082 0 3.5 3.41667 4 3.32812 0.333333 10.4444 4.39062 4.36735 5.18367
11 7 5.75 8 7.25 7 8.11111 7 8 7.44444 7 8 8 13 7.53061 11 8 8 7 8 8.64 7.30556 7 4.88889 4.11111 4.33333 3.18367 10.4082 12.3125 11.3265 13 9.91667 11 5.33333 4 7.04 11 9 13 12.28 7.16 13 8 7.32653 7.69444 7.125 8 7.5 8 7.08163 7.5102 8 7.18367 7.0625 7.04 7.25 8 7.5102 8 8 8 13 11 11 14 14 7.12245 14 10 11.6122 13 12 11 0 11 11 4.04082 11 7.25 7.08333 13 12.0781 8 0.111111 7.39062 7.36735 8.18367
1 4 3.75 5 4.25 4 5.11111 4 5 4.44444 4 5 5 4 4.53061 0 5 5 4 5 5.64 4.30556 4 4.55556 5.11111 4 8.18367 3.40816 3.0625 0.326531 4 2.91667 0 5 7 4.04 0 4 4 4.08 4.16 4 5 4.32653 4.69444 4.125 5 4.5 5 4.08163 4.5102 5 4.18367 4.0625 4.04 4.25 5 4.5102 5 5 5 4 0 0 5 5 0.693878 5 7 2.04082 4 1 0 11 0 0 7.04082 0 3.5 3.41667 4 3.32812 0.333333 10.4444 4.39062 4.36735 5.18367
1 4 3.75 5 4.25 4 5.11111 4 5 4.44444 4 5 5 4 4.53061 0 5 5 4 5 5.64 4.30556 4 4.55556 5.11111 4 8.18367 3.40816 3.0625 0.326531 4 2.91667 0 5 7 4.04 0 4 4 4.08 4.16 4 5 4.32653 4.69444 4.125 5 4.5 5 4.08163 4.5102 5 4.18367 4.0625 4.04 4.25 5 4.5102 5 5 5 4 0 0 5 5 0.693878 5 7 2.04082 4 1 0 11 0 0 7.04082 0 3.5 3.41667 4 3.32812 0.333333 10.4444 4.39062 4.36735 5.18367
7.04082 5.04082 2.79082 6.04082 5.29082 5.04082 6.15193 5.04082 6.04082 5.48526 5.04082 6.04082 6.04082 9.04082 5.57143 7.04082 6.04082 6.04082 5.04082 6.04082 6.68082 5.34637 5.04082 2.92971 1.48526 1.70748 1.22449 6.73469 8.35332 7.36735 9.04082 6.62415 7.04082 3.37415 0.0408163 5.08082 7.04082 5.04082 9.04082 8.32082 5.20082 9.04082 6.04082 5.36735 5.73526 5.16582 6.04082 5.54082 6.04082 5.12245 5.55102 6.04082 5.22449 5.10332 5.08082 5.29082 6.04082 5.55102 6.04082 6.04082 6.04082 9.04082 7.04082 7.04082 10.0408 10.0408 3.73469 10.0408 8.04082 7.65306 9.04082 8.04082 7.04082 4.04082 7.04082 7.04082 0 7.04082 3.54082 5.12415 9.04082 8.36894 5.04082 3.48526 5.43144 5.40816 6.22449
1 4 3.75 5 4.25 4 5.11111 4 5 4.44444 4 5 5 4 4.53061 0 5 5 4 5 5.64 4.30556 4 4.55556 5.11111 4 8.18367 3.40816 3.0625 0.326531 4 2.91667 0 5 7 4.04 0 4 4 4.08 4.16 4 5 4.32653 4.69444 4.125 5 4.5 5 4.08163 4.5102 5 4.18367 4.0625 4.04 4.25 5 4.5102 5 5 5 4 0 0 5 5 0.693878 5 7 2.04082 4 1 0 11 0 0 7.04082 0 3.5 3.41667 4 3.32812 0.333333 10.4444 4.39062 4.36735 5.18367
1.625 3.5 0.875 4.5 3.75 3.5 4.61111 3.5 4.5 3.94444 3.5 4.5 4.5 1.75 4.03061 3.5 4.5 4.5 3.5 4.5 5.14 3.80556 3.5 3.05556 2.94444 2.83333 4.68367 0.979592 1.53125 3.82653 1.75 1.25 3.5 3.5 3.5 3.54 3.5 3.5 1.75 1.43 3.66 1.75 4.5 3.82653 4.19444 3.625 4.5 4 4.5 3.58163 4.0102 4.5 3.68367 3.5625 3.54 3.75 4.5 4.0102 4.5 4.5 4.5 1.75 3.5 3.5 2.75 2.75 2.19388 2.75 6.5 1.43367 1.75 4.5 3.5 7.25 3.5 3.5 3.54082 3.5 0 3.25 1.75 1.54688 2.625 6.69444 3.89062 3.86735 4.68367
3.41667 0.0833333 2.5 1.08333 0.333333 0.0833333 1.19444 0.0833333 1.08333 0.527778 0.0833333 1.08333 1.08333 5.41667 0.613946 3.41667 1.08333 1.08333 0.0833333 1.08333 1.72333 0.388889 0.0833333 0.638889 2.41667 2.52778 4.26701 4.06293 4.72917 3.7432 5.41667 2.55556 3.41667 1.08333 5.08333 0.123333 3.41667 2.08333 5.41667 4.83 0.243333 5.41667 1.08333 0.409864 0.777778 0.208333 1.08333 0.583333 1.08333 0.164966 0.593537 1.08333 0.267007 0.145833 0.123333 0.333333 1.08333 0.593537 1.08333 1.08333 1.08333 5.41667 3.41667 3.41667 6.41667 6.41667 2.01531 6.41667 3.08333 4.02891 5.41667 4.41667 3.41667 7.08333 3.41667 3.41667 5.12415 3.41667 3.25 0 5.41667 4.49479 2.52778 6.52778 0.473958 0.45068 1.26701
1 6 2.75 7 6.25 6 7.11111 6 7 6.44444 6 7 7 0 6.53061 4 7 7 6 7 7.64 6.30556 6 6.55556 7.11111 6.66667 10.1837 0.265306 0.0625 4.32653 0 0.916667 4 7 9 6.04 4 6 0 0.08 6.16 0 7 6.32653 6.69444 6.125 7 6.5 7 6.08163 6.5102 7 6.18367 6.0625 6.04 6.25 7 6.5102 7 7 7 0 4 4 1 1 4.12245 1 9 0.326531 0 5 4 13 4 4 9.04082 4 1.75 5.41667 0 0.078125 4 12.4444 6.39062 6.36735 7.18367
0.703125 5.07812 2.32812 5.82812 5.20312 5.07812 5.93924 5.07812 5.82812 5.3559 5.07812 5.82812 5.82812 0.078125 5.43017 3.32812 5.82812 5.82812 5.07812 5.82812 6.46812 5.25868 5.07812 5.63368 6.27257 5.82812 9.2618 0.200574 0.046875 3.65466 0.078125 0.578125 3.32812 5.91146 8.32812 5.06812 3.32812 5.07812 0.078125 0.158125 5.13812 0.078125 5.82812 5.2618 5.56424 5.14062 5.82812 5.45312 5.82812 5.08833 5.40976 5.82812 5.15466 5.07812 5.06812 5.20312 5.82812 5.40976 6.07812 5.82812 5.82812 0.078125 3.32812 3.32812 1.07812 1.07812 3.37915 1.07812 7.95312 0.19037 0.078125 4.32812 3.32812 12.0781 3.32812 3.32812 8.36894 3.32812 1.54688 4.49479 0.078125 0 3.28646 11.5226 5.3125 5.33833 6.0118
1.16667 3 2.58333 4 3.25 3 4.11111 3 4 3.44444 3 4 4 4 3.53061 0.333333 4 4 3 4 4.64 3.30556 3 3.11111 3.44444 2.55556 5.85034 3.07483 3.10417 0.659864 4 2.58333 0.333333 3.55556 5 3.04 0.333333 3.33333 4 3.94667 3.16 4 4 3.32653 3.69444 3.125 4 3.5 4 3.08163 3.5102 4 3.18367 3.0625 3.04 3.25 4 3.5102 4 4 4 4 0.333333 0.333333 5 5 0.265306 5 6 2.13605 4 1.33333 0.333333 8 0.333333 0.333333 5.04082 0.333333 2.625 2.52778 4 3.28646 0 7.44444 3.39063 3.36735 4.18367
10.4444 6.44444 5.19444 7.44444 6.69444 6.44444 7.55556 6.44444 7.44444 6.88889 6.44444 7.44444 7.44444 12.4444 6.97506 10.4444 7.44444 7.44444 6.44444 7.44444 8.08444 6.75 6.44444 4.33333 3.55556 3.77778 2.62812 9.85261 11.7569 10.771 12.4444 9.36111 10.4444 4.77778 3.44444 6.48444 10.4444 8.44444 12.4444 11.7244 6.60444 12.4444 7.44444 6.77098 7.13889 6.56944 7.44444 6.94444 7.44444 6.52608 6.95465 7.44444 6.62812 6.50694 6.48444 6.69444 7.44444 6.95465 7.44444 7.44444 7.44444 12.4444 10.4444 10.4444 13.4444 13.4444 6.56689 13.4444 9.44444 11.0567 12.4444 11.4444 10.4444 0.111111 10.4444 10.4444 3.48526 10.4444 6.69444 6.52778 12.4444 11.5226 7.44444 0 6.83507 6.81179 7.62812
4.39062 0.390625 3.14062 0.140625 0.015625 0.390625 0.251736 0.390625 0.140625 0.00173611 0.390625 0.140625 0.140625 6.39062 0.0283801 4.39062 0.140625 0.140625 0.390625 0.140625 0.780625 0.0711806 0.390625 0.946181 2.83507 3.05729 4.5743 4.94165 5.70312 4.71716 6.39062 2.89062 4.39062 0.557292 5.39062 0.180625 4.39062 1.14062 6.39062 5.67062 0.050625 6.39062 0.140625 0.0028699 0.0434028 0.203125 0.140625 0.265625 0.140625 0.115115 0.00797194 0.140625 0.0385842 0.140625 0.180625 0.015625 0.140625 0.00797194 1.39062 0.140625 0.140625 6.39062 4.39062 4.39062 7.39062 7.39062 2.79879 7.39062 2.76562 5.00287 6.39062 5.39062 4.39062 7.39062 4.39062 4.39062 5.43144 4.39062 3.89062 0.473958 6.39062 5.3125 3.39063 6.83507 0 0.222258 0.324298
4.36735 0.367347 3.11735 0.510204 0.188776 0.367347 0.621315 0.367347 0.510204 0.240363 0.367347 0.510204 0.510204 6.36735 0.285714 4.36735 0.510204 0.510204 0.367347 0.510204 1.1502 0.244331 0.367347 0.922902 2.81179 3.03401 4.55102 4.91837 5.67985 4.69388 6.36735 2.9983 4.36735 0.795918 5.36735 0.235918 4.36735 1.5102 6.36735 5.64735 0.18449 6.36735 0.510204 0.204082 0.347506 0.278061 0.510204 0.438776 0.510204 0.204082 0.265306 0.510204 0.183673 0.215561 0.235918 0.188776 0.510204 0.265306 1.36735 0.510204 0.510204 6.36735 4.36735 4.36735 7.36735 7.36735 2.77551 7.36735 2.93878 4.97959 6.36735 5.36735 4.36735 7.36735 4.36735 4.36735 5.40816 4.36735 3.86735 0.45068 6.36735 5.33833 3.36735 6.81179 0.222258 0 0.693878
5.18367 1.18367 3.93367 0.183673 0.433673 1.18367 0.294785 1.18367 0.183673 0.294785 1.18367 0.183673 0.183673 7.18367 0.285714 5.18367 0.183673 0.183673 1.18367 0.183673 0.823673 0.489229 1.18367 1.73923 3.62812 3.85034 5.36735 5.73469 6.49617 5.5102 7.18367 3.43367 5.18367 0.85034 6.18367 0.823673 5.18367 1.18367 7.18367 6.46367 0.543673 7.18367 0.183673 0.367347 0.211451 0.808673 0.183673 0.683673 0.183673 0.693878 0.265306 0.183673 0.510204 0.746173 0.823673 0.433673 0.183673 0.265306 2.18367 0.183673 0.183673 7.18367 5.18367 5.18367 8.18367 8.18367 3.59184 8.18367 3.18367 5.79592 7.18367 6.18367 5.18367 8.18367 5.18367 5.18367 6.22449 5.18367 4.68367 1.26701 7.18367 6.0118 4.18367 7.62812 0.324298 0.693878 0
## monboot.r
## An R program designed to take geographic coordinates and a genetic distance matrices produced by a companion C++ program (monboot.cxx)
## and compute a Monmonier's barrier.
## In addition, the program is designed to take many bootstrapped matrices for analysis.
## The goal of the bootstrap is to find the highly likely region where there is a major genetic break on the landscape.
## Algorithm
# Compute Monmonier barrier on original data. Output that info.
# Read in original coordinates. Store.
# Read in genetic distance matrix. Store.
# Compute network.
# compute barrier.
# Output barrier.
# Perform bootstrap analysis. (loop)
# Input filenames are predetermined based on companion C++ output.
# Read in coordinates. Store.
# Read in genetic distance matrix. Store.
# Compute network.
# compute barrier.
# Output barrier.
#############################
#### User defined variables (to be changed to appropriate when used)
pathname <- "monmonierwork/EV/EVmonboot/" #base path for directory that all input and output data will be in
#numboot <- 1000 #number of bootstrap replicates to run
b <- 7
## Input files
orig_coord_filename <- paste(pathname, "orig_coord.input", sep = "")
boot_coord_base_filename <- paste(pathname, "boot_coord.", sep = "")
orig_dist_filename <- paste(pathname, "orig_dist.input", sep ="")
boot_dist_base_filename <- paste(pathname, "boot_dist.", sep = "")
## Output files
orig_mon_filename <- paste(pathname, "orig_mon.out", sep = "")
boot_mon_filename <- paste(pathname, "boot_mon.out", sep = "")
#### Necessary libraries
library(spdep)
library(ade4)
library(adegenet)
#### Main program
## 1. Computing Monmonier barrier on original data.
# Read in coordinates and genetic matrix
orig_coords <- read.table(orig_coord_filename)
numpops <- length(orig_coords[,1])
orig_Da <- read.table(orig_dist_filename)
orig_Da <- as.dist(orig_Da)
# Compute the barrier
orig_cn <- chooseCN(orig_coords, ask=FALSE, type=1)
orig_mon <- optimize.monmonier(coords, Da, cn, threshold=0)
orig_mon <- monmonier(orig_coords, orig_Da, orig_cn, threshold=0, nrun=1, skip.local.diff = rep(1, 1)) #threshold is arbitrarily set at 0
plot(orig_mon)
# Output barrier info -- for now only outputting data from run1
write.table(orig_mon$run1$dir1$path, file=orig_mon_filename, sep="\t")
write.table(orig_mon$run1$dir2$path, file=orig_mon_filename, sep="\t", append = TRUE, col.names = FALSE)
## 2. Performing the bootstrap analyses
#clear the output files
write("",file=boot_mon_filename)
#for (b in 1:numboot)
#{
# Read in coordinates and genetic matrix
coords <- read.table(paste(boot_coord_base_filename, b, ".input", sep=""))
numpops <- length(coords[,1])
Da <- read.table(paste(boot_dist_base_filename, b, ".input", sep=""))
Da <- as.dist(Da)
# Calc monmonier barrier
cn <- chooseCN(coords, ask=FALSE, type=1)
mon <- monmonier(coords, Da, cn, threshold=0, nrun=1, skip.local.diff = rep(1, 1)) #threshold is arbitrarily set at 0
mon <- optimize.monmonier(coords, Da, cn, threshold=0)
# plot(mon)
# Output info
write.table(cbind(rep(b), mon$run1$dir1$path), file=boot_mon_filename, sep="\t", append = TRUE, col.names = FALSE)
write.table(cbind(rep(b), mon$run1$dir2$path), file=boot_mon_filename, sep="\t", append = TRUE, col.names = FALSE)
# write("\n",file=boot_mon_filename, sep="\t", append = TRUE)
#}