1 Concept map can be accessed by Text file https://cmapscloud.ihmc.us:443/rid=1W8KPY8HX-XRZB1K-3QF/text%20for%20propositions%20%26%20resources.txt 2 Concept map can be accessed by Image file https://cmapscloud.ihmc.us:443/rid=1W8L8H8GT-1638ZY0-1F7/Concept%20Map.jpg 3 Concept map can be accessed by URL https://cmapscloud.ihmc.us:443/rid=1W8L89578-D7TF65-LQ/cmap%20url.url?redirect 4 Concept map can be accessed by XML https://cmapscloud.ihmc.us:443/rid=1W8L96LV1-F0M46R-22K/cutting%20force%20-%20end%20mil%20-%20bimetal.xml 5 Experiments have been conducted to understand the behavior of cutting force in end milling operations under different cutting conditions N/A 6 cutting conditions are described here https://cmapscloud.ihmc.us:443/rid=1W8KP60MW-1950FDL-3CJ/Cutting%20conditions.pdf 7 Experiments have been conducted to understand the behavior of cutting force in end milling operations using bimetal workpiece N/A 8 bimetal workpiece is described here https://cmapscloud.ihmc.us:443/rid=1W7PKH304-B03FKR-1ND/workpiece%20description.pdf 9 Experiments have been conducted to understand the behavior of cutting force in end milling operations using cutting tool N/A 10 cutting tool is described here https://cmapscloud.ihmc.us:443/rid=1W7PKH304-79S7JB-1NG/cutting%20tool%20description.pdf 11 Experiments have been conducted to understand the behavior of cutting force in end milling operations using machine tool N/A 12 machine tool is described here https://cmapscloud.ihmc.us:443/rid=1W7PKH304-1RRN969-1NJ/machine%20description.pdf 13 cutting force is recorded using a sensor in the form of time series data stored in the cutting force signal database https://cmapscloud.ihmc.us:443/rid=1W8KNXMYX-257VJSQ-32C/measured%20data.txt 14 sensor is described here https://cmapscloud.ihmc.us:443/rid=1W7PKH304-1LQH4PF-1NB/sensor%20description.pdf Cutting force Cutting conditions - case 1 Sampling rate - 50000 Hz Force N 38.51103098 35.67630811 32.59543928 29.76550144 27.22254905 25.22369923 23.80507287 22.03030406 20.81819998 19.70999794 18.57040845 16.73958236 14.93032244 12.70668604 11.16715435 10.14838918 10.48027961 11.71635677 14.18373002 16.61844937 19.43505999 22.14418824 25.45471345 28.2533121 32.0966982 36.68650006 40.81984771 46.19859146 51.55909573 57.30173089 63.95799232 71.04281649 78.09957712 85.56645796 92.95534823 100.3409891 107.3232682 114.6745571 121.8239031 127.772039 133.3533243 137.9703763 141.50597 143.5659509 144.2784733 143.329164 141.5668401 138.4481347 134.2900767 129.3129814 123.7606785 118.07488 112.3746444 106.5900228 101.1880015 95.97082616 90.31467475 84.61489488 78.7283083 72.71413576 65.58665988 58.29745295 50.36868499 42.92328704 34.20846896 27.01767954 20.28035207 16.51079277 16.57598342 19.37522107 23.97189718 28.13462824 32.41290046 35.91401382 38.17205883 39.81375095 40.80950908 40.40804281 39.31932975 37.92775867 36.43675219 34.1201452 31.84339605 30.22323578 28.67413898 27.46927261 26.22635338 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53.72728716 60.75391652 67.86869746 74.99058864 82.07358155 89.15619838 95.48625881 101.8414463 107.5586086 112.8468438 116.4056684 118.8126332 120.3132142 120.5344299 118.5092995 115.9464865 111.7486664 106.9132867 101.2505552 95.63759169 89.95263392 84.31341556 79.17074512 74.14724183 69.79456049 65.5498732 61.72631912 57.65865894 53.76759687 50.06675089 45.3672918 40.76380869 36.50186015 31.44075983 26.81242219 22.97228937 20.0133905 18.87260648 19.99726356 23.12605866 26.47001269 30.64992557 34.14914281 37.52458691 39.71262403 41.02956442 42.03931037 41.91920998 41.14324844 39.92983591 37.80155582 35.66097975 33.57978699 30.8799106 28.2994143 26.06840025 22.88991328 20.1765142 17.01473566 13.64947966 10.25106499 6.787264478 3.342508713 2.645256867 5.996731073 9.385779633 13.00048973 16.37101186 20.00196375 23.44316197 27.09852582 30.89978295 34.95514817 38.99525335 43.36414167 47.86879599 51.95723168 56.34345395 60.84544363 65.35323282 69.94383231 74.48432381 78.64458753 82.53540135 86.50931673 90.43134924 93.6978413 96.8539384 99.42269053 101.7281961 102.8521052 104.0400588 102.698375 101.7924133 99.44947856 96.27605642 92.40808323 88.20795285 83.51384419 78.50357405 73.51570322 68.28612578 62.77188938 57.07888792 51.5018897 45.29911788 38.89381264 32.37904367 26.25059788 20.05854387 15.16735749 11.98894762 12.58244943 15.42480129 19.16625152 23.01061618 26.79924474 29.94457449 32.11104839 34.11019847 34.92587662 34.85936432 34.83666019 33.46127768 31.49331567 28.97684101 26.50028213 22.97103656 19.87920068 16.82742275 13.65471242 12.52902801 11.09726761 10.54823607 10.74072046 10.87122657 11.44072982 11.26856883 12.02246683 12.29448183 13.19667812 14.24815616 15.1600513 16.15375627 16.80595603 17.73300024 18.22743535 18.96423925 20.02624432 21.14376496 22.64833771 24.76035038 27.39267809 30.78671099 34.95463126 40.2547223 45.71636018 51.57138306 58.10966095 64.41172313 70.42745801 76.8633416 82.40742112 87.33304446 92.35615092 96.61470267 100.2474785 102.9966027 104.5879836 104.9821835 103.9313105 101.8741333 98.74779886 94.19254691 89.72402584 83.90918857 78.35657565 73.15743363 67.67780221 63.25558191 58.67835387 55.35951655 51.20670168 47.95340863 44.64203071 41.23449382 38.08867848 34.10222805 30.85623729 27.2017723 24.38868595 21.51188924 19.17776631 18.05987265 17.95120092 18.99038631 20.6379982 22.81774092 25.15861526 27.12465394 28.69201674 30.38400513 31.20340074 31.79109653 31.79490758 31.60270565 30.82726103 29.76232291 28.62324919 26.42540126 24.72366699 22.19183787 19.863572 17.17220418 13.94710015 10.55227551 7.600971719 4.840485393 4.316652795 5.658589918 8.937807095 11.59816485 14.03830999 16.67311008 18.77215134 20.5264923 22.2625505 23.66257199 25.46507152 27.42717196 29.77109115 32.54946984 35.62797595 39.58327799 43.73184576 48.56345948 53.82762619 Cutting force Cutting conditions - case 2 Sampling rate - 50000 Hz Force N 37.04538704 41.8512252 47.6327611 54.31717813 61.22065086 69.8660404 78.61052345 87.61574191 96.89509963 106.1300221 115.5377969 123.8706134 133.1982375 141.6132635 149.8272928 158.347403 166.1138594 173.445407 180.6163116 186.4375176 191.266331 194.5967301 196.9838253 197.3711735 196.8474286 195.0198088 192.5926845 189.6459108 186.126366 183.1963317 180.3734377 177.3463426 174.8349648 171.8103517 168.7051133 164.9203826 159.5910931 153.0111315 144.7719262 135.4985518 124.5400511 111.9366939 99.06412614 85.57873842 72.50454796 59.08417328 48.12920972 37.10814047 28.6437974 21.95305765 18.51077874 17.47682618 18.10691294 19.77862977 21.32935356 22.74050276 23.62316939 24.87943562 25.74076659 26.97825838 28.44012005 30.04538176 31.39416105 32.94358355 34.51499349 35.42601334 35.65839103 35.130009 33.63480798 31.23568341 28.23549094 24.42814837 20.40488435 16.57149088 13.55073665 13.9196485 17.11288993 23.57804778 30.52933614 38.55096265 47.33745834 56.96839964 66.91986748 77.3213544 87.80027506 97.84005638 107.6621727 116.8694417 124.9514355 133.0480486 140.1431703 146.1301522 152.0319517 157.3114453 161.9480383 166.0464838 170.8003757 174.583511 178.4750946 182.0386597 185.1431795 188.3273107 190.6238911 192.6569906 194.0948719 194.4444189 193.0896701 191.5532895 188.6900456 185.1004389 180.3461017 175.3883848 169.5054305 163.3917623 156.7668304 150.3112205 142.6769167 136.0066164 128.7460528 121.4149382 113.9688797 106.8044422 99.75280583 92.38620851 84.922059 77.91402748 70.48161334 63.13170607 56.1555466 49.72317711 43.40159971 38.79047804 35.39560399 33.09912756 32.87973956 33.87816059 35.08745545 37.59711406 40.24652649 42.37917652 43.98168975 45.65438053 46.41128719 46.73330487 46.97996565 46.3546048 45.42046585 44.38540754 43.28284869 41.85835733 40.43268938 38.03398098 35.64242083 33.00409807 30.07336801 28.19127092 27.96591718 31.74968871 39.1613842 49.26992629 62.61355179 76.53920801 91.41261343 106.3729271 121.2793934 136.00879 149.4940542 163.20408 174.8658787 185.6377521 195.0011675 202.3356174 208.9697376 213.5529841 217.0606187 219.5932588 221.5782359 222.7418123 223.9566208 225.3949786 226.7078901 228.4307305 229.7363671 230.7678812 231.1408647 229.9171126 228.1950717 223.7790794 217.6116728 209.4953081 199.708212 187.4465527 174.0390734 159.0802747 143.863179 128.0049979 112.7778305 98.00652722 84.10222469 71.72082914 60.55668616 50.78781171 41.72394965 33.84292136 26.54662513 20.42541949 15.033289 11.31841202 12.14819457 15.35628618 19.94537492 25.61329886 31.05462561 36.03535328 40.89838991 44.76903331 47.93826585 49.32402601 50.10882723 48.94597856 46.00634671 41.88822521 35.98484698 29.03248561 21.77007024 14.07826115 6.743373098 3.429296049 8.45785962 13.83457456 18.61521282 22.28860214 26.13563467 29.70774941 33.38749988 37.41972962 42.82840676 48.9137663 56.3567964 64.13718828 72.8696081 82.15046951 91.40478913 100.5774404 109.9991005 119.1768323 127.3368478 135.4246587 143.1938759 150.4103047 156.8507519 162.3261834 166.8571146 169.8307503 171.4378019 172.5994461 172.1374989 172.3497726 171.5023993 171.1547154 170.7951362 171.4912926 172.9867738 175.6316304 178.1545882 181.3304342 184.3621983 186.1196999 186.8738013 185.7221033 182.4156215 176.8708941 169.119104 159.4282805 147.9018887 135.394017 122.631398 109.7709447 98.33045988 87.99571322 79.05327933 71.52880719 65.90310699 60.7974467 56.87714969 53.39189067 49.42495346 45.9558264 42.04043985 37.74242166 33.82239472 30.47473263 29.07355959 28.57418712 30.67645301 34.76287511 39.71193778 44.80307975 49.26662703 53.13962244 55.69741151 57.05161719 56.22775032 54.23139204 51.03566158 46.90099066 42.42641991 37.96272038 34.04081073 31.2982909 29.83209792 30.15136563 31.66864 34.47092886 38.81504308 43.36573587 49.370205 55.76446155 63.00775273 70.97279353 78.94999243 87.68509299 96.05139984 105.0385555 113.8466868 122.270028 131.4626554 140.744943 149.428616 158.204428 166.3940774 174.1296752 180.5147982 186.4167769 190.0911249 192.5545239 193.7991524 193.8908647 192.3937156 190.5769199 188.3292186 185.7866558 183.0547246 181.282996 179.7537744 178.6182166 177.455451 176.1211364 173.9231449 170.1713036 164.7062481 157.5990301 148.8788828 137.5081084 125.3172124 112.4919044 98.70675675 84.96555782 72.17083965 60.27269101 48.84958997 39.36052721 31.54949202 25.59579068 21.44014447 19.30073568 18.99687246 19.05422231 19.59887112 20.83424147 21.97699265 23.56477033 24.88487805 26.92017132 28.99292241 31.33684158 33.53128573 35.41572071 37.21265832 37.99627422 37.98717824 37.31762539 35.43675688 32.59516784 28.74665137 23.7748298 18.73711556 13.44500401 9.201753172 9.047666325 13.62249808 20.47742549 28.38636835 37.09705845 46.34566223 55.71696305 65.4825311 75.90764709 85.88125513 95.30430022 104.6693668 113.5184917 121.2775013 128.6006128 135.5836111 142.0623344 148.1455166 153.6760795 159.3987465 164.9001881 170.2465569 175.0746168 179.778704 183.7351013 186.9849683 189.5124027 191.011316 192.3423705 192.2958882 191.1183449 189.6955719 187.538336 184.8296221 181.5270165 177.8248032 173.7242424 169.4156437 164.6892339 159.6704831 154.1408298 147.704802 140.9767349 133.220265 125.5471768 117.2630747 108.5677995 99.62480987 90.894915 82.73883506 74.79536824 67.76296647 60.98074134 55.38781629 50.19513487 45.79733264 42.34996853 40.02538013 38.41009839 37.0779587 36.52733131 36.23257686 36.38480431 36.88593771 37.54852486 38.667365 40.56174908 41.86642692 43.36943931 45.22512587 46.34995852 47.72249097 47.4999146 47.73091693 46.56055488 44.94438619 42.67939545 39.41717306 35.94532319 32.36641145 29.67557427 29.64667961 33.6759299 41.2792406 52.24388058 65.1175621 79.44047191 93.5572712 108.1125283 122.131539 135.9963103 148.458832 160.2639943 170.7791116 179.4800699 187.9755965 195.0533574 202.1189593 207.0930833 212.1011004 216.586861 220.3048724 223.8259892 226.9689641 229.5183525 232.2474586 233.5498352 233.9478613 233.8382002 232.4818197 229.1550634 224.9568899 218.886191 210.9631062 201.8996716 191.4537818 179.5343937 167.3685613 154.5424397 141.8705574 128.8649908 115.9780956 104.3678722 92.03263092 80.63019626 69.97357272 59.82710157 49.7970011 40.39985926 31.17481954 23.05671394 15.0008624 9.667264 10.24420245 15.67313964 22.07766738 28.32221644 33.88602033 38.99362797 42.48825698 45.40009754 46.54327633 47.1189763 46.1670822 44.13221274 41.08788571 37.18868026 32.53300457 27.44664493 21.89128957 16.13257428 10.75827805 5.727325138 1.313968025 4.474072809 8.782846163 13.77253182 18.14033864 23.57336736 29.13905558 35.58999115 42.59927939 50.4264806 58.59414307 67.58093898 76.69325797 86.22565394 95.58184622 104.3786625 113.2022444 121.1627832 128.6037428 135.7879067 142.198751 148.0483774 152.7429375 156.6839696 160.5287896 163.0618082 165.6937724 167.0217459 168.7002319 170.1039852 171.2340476 173.0202244 174.8280799 177.6859321 180.4045317 184.0522488 187.1397815 189.8763035 191.658812 191.5490235 189.7381113 185.9382764 179.7156685 171.6540466 161.5774831 150.5413187 138.8018456 127.3459381 115.695237 105.3778558 96.05639996 88.36691185 81.6663327 75.90422691 70.96779215 66.31121844 62.12242296 57.31799016 52.81689941 47.90255073 43.08599149 38.11327389 33.85229395 30.89841791 30.32355889 31.41369503 34.46696656 38.29095502 42.27597931 46.43170225 48.53370385 50.26994396 50.45029272 49.45591693 47.67913868 44.99690571 41.64796314 38.31296105 35.47571376 33.13638554 31.49259408 30.76819417 30.74544875 31.15166684 32.13818233 33.64034347 35.94479182 38.90566341 43.24536855 48.96251737 55.90270916 64.5786736 74.39524852 84.67298226 94.97731038 106.5244276 117.3670154 128.1088259 138.9578937 148.6329517 158.1961091 167.1347254 174.7895968 180.9148908 185.5541378 189.2051201 190.9785267 191.6794264 190.7680432 189.3893808 187.1077677 185.0539247 183.2753348 182.3491619 181.6393279 181.4576649 181.9803585 181.895026 181.509508 180.2808073 177.6425792 172.9077809 167.0736405 158.1005949 147.9374617 136.3670072 124.0311397 111.055186 97.98842271 85.77736635 73.7498774 62.76713051 52.86363647 44.1564821 36.1755095 29.99930135 24.2734977 19.387932 16.44519943 15.03368791 16.02156061 18.75365133 21.83417807 25.28129853 28.62133237 31.76176938 35.1640928 37.92046959 40.44028147 41.93533979 43.38837699 43.03234509 41.81491188 39.56383068 36.52171026 32.1026875 27.24478006 21.67358974 16.21847509 11.49634834 8.887852893 10.05930596 14.27247935 20.56358992 27.37865465 34.67811579 43.16194981 52.37347599 62.07154341 72.06724648 82.23166891 92.09102277 101.8772195 111.2967225 120.239318 128.8139467 136.819047 143.9972082 150.7225621 157.0237732 163.0272867 168.6323365 173.1537546 177.601144 181.6944909 184.5789721 187.0466903 188.9792988 190.0434267 190.6487669 190.3610202 189.8283595 188.976613 188.1515204 186.780677 185.2147856 183.096368 180.4739285 177.313422 173.1693304 167.4204181 161.1143784 153.5576842 145.2469236 135.752269 126.3249674 115.9460054 106.2190294 96.35902227 86.70165237 78.31306702 70.25873503 63.12573316 57.10897911 52.09242544 47.46230755 44.26053043 41.3120382 39.30324958 37.83028789 37.00905639 36.96561997 36.48511535 36.96242645 38.15275534 39.43049037 41.20500799 43.71012137 45.58437219 47.77072645 49.77664036 50.76088645 51.53144425 51.39297067 50.60237543 48.82651752 46.30250365 43.11517341 39.25016183 35.10757116 30.92391452 28.49872913 28.79469507 33.00900074 40.48479294 50.93117082 63.03083808 76.23505044 90.23238453 104.9851498 119.6542787 133.2435425 146.5131721 158.8926954 170.0373456 180.409428 189.2847555 196.827964 203.4685427 209.6909866 214.6551661 218.9119905 222.8850264 226.324773 229.1725337 231.509691 233.3341596 234.5561973 234.7487348 234.7342226 232.7116312 230.0153978 226.5245789 220.9479416 213.8432968 205.5160674 196.2623992 185.973961 174.2604659 161.8784881 148.2940945 135.3943998 121.7624979 108.7870868 96.47281069 84.03435396 72.38097493 60.96393785 50.11144834 39.72380806 30.76824137 22.10913512 15.67419127 12.20514939 14.97367942 19.44815029 24.96376272 30.45377916 34.57962052 38.4053 40.89970424 42.92375279 43.67616519 43.87810618 43.00064476 42.01910242 39.58284454 36.98581187 33.65985787 29.87919502 25.76876159 20.98495157 16.22974235 11.1558235 5.357528758 0.369834948 5.270003981 10.62434171 16.47258712 22.06583959 28.62666763 35.69180808 43.38834024 51.89262418 60.45037317 69.80882544 79.21190868 89.26557059 98.79566222 108.0270779 117.1304829 125.5506601 133.3282287 140.7067515 146.7253356 152.35553 156.644471 160.3857642 163.285753 165.1292973 166.0071219 166.7060928 167.7059362 167.9387524 168.4946589 170.0710775 172.3877093 174.9902431 178.521836 182.3244252 185.589065 188.4700444 190.0924163 190.2339962 188.6660895 184.36988 178.4022316 170.3750118 160.8733263 150.1692603 139.1020356 127.9816003 117.2690702 107.3222104 98.70556448 91.46433954 84.96996258 79.80735658 75.20951816 70.36077419 66.40107335 61.66446684 56.62323596 51.06092522 45.12073706 39.76436473 34.99771701 31.5453176 30.88538677 32.16033897 35.31158355 39.62401792 43.51966091 46.9455435 49.77141403 50.65074797 50.95579943 49.86982265 47.35659807 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147.5158252 150.7861062 154.3902944 156.6494606 158.9135162 160.023082 161.0461479 161.4728609 162.1337282 162.7368731 162.9200405 163.3786258 163.0497058 162.1016715 160.6079528 158.2115315 154.7754782 149.7272677 143.716928 136.4836908 128.4549566 119.4707428 110.2702317 100.3445278 90.87134199 81.19084968 72.06178952 63.7274424 56.0575415 49.14384741 43.2767033 38.70497311 34.25347815 30.73528047 28.33738605 26.89929904 26.33906622 27.98079255 30.42640587 34.50509964 39.32588071 43.74791707 48.93950667 53.18746921 56.87995308 59.24818712 60.38964202 60.52484629 59.17311213 56.57671273 52.4842932 47.90425049 42.54184015 36.86991305 31.83935557 27.2228673 23.3805587 20.51748564 19.62315109 19.94989572 22.88228423 27.32618859 33.61148158 41.38497323 50.68910244 60.61062383 71.72057819 82.89765904 94.05585149 105.4764611 116.3486116 127.307062 136.6770556 146.3165981 154.9042913 162.921422 170.050906 176.561855 182.0914798 187.3538797 191.2517462 194.8201504 197.2789348 199.1466806 200.3046827 200.222289 200.0422711 199.5483959 198.0485602 196.0107699 193.1539363 189.6819438 184.7600937 178.9429232 170.8579441 162.2850715 151.7587194 140.2567553 127.5992809 113.8511929 99.90845454 85.20274679 71.3377579 57.2284143 44.44013065 32.27189971 22.08572543 13.85948085 9.316394192 11.48316815 16.36646286 21.36204571 25.95483037 29.99979729 34.08549001 37.12118677 40.05438897 42.77109009 44.66960627 Cutting force Cutting conditions - case 3 Sampling rate - 50000 Hz Force N 32.52765575 38.23377075 43.7598606 50.78997017 58.17485256 66.84771429 76.45330976 87.24379977 98.29704431 110.3496076 122.8936775 134.9229291 146.9884268 158.6717367 170.3516101 181.0356951 191.3515523 201.3108341 210.4605765 219.2091427 226.5236286 232.6935435 237.2060596 240.0990967 241.2983721 240.0230048 237.1644606 232.592995 226.5350554 218.8146123 210.2387582 200.8177649 190.6790372 180.2246974 168.7936587 157.4497901 144.7020886 132.0664223 117.9541964 103.4891897 88.6000684 73.43395741 58.56045284 44.88055883 32.60179202 23.65948188 22.19476986 27.5508438 35.42838626 43.98218718 52.9882634 60.90741388 68.04463704 73.47399694 78.49511728 81.3300954 82.92585639 83.50200951 82.32739584 80.15879842 77.01317831 73.69176128 69.52609963 65.35601692 61.03923539 56.44445228 51.65830139 47.60137573 42.68212895 37.85761245 32.56896937 27.27538558 21.32560697 15.20119557 10.21818659 7.866876489 10.50743619 15.84187023 22.13558996 28.42691916 35.55123266 43.34980059 52.03593324 61.67638859 72.98535013 84.27305411 96.86648675 110.0021593 123.2517537 136.5635827 149.2160258 161.7823789 173.3348914 184.5210669 194.2038896 203.3939185 211.3334823 218.2410661 223.6682023 227.9651762 230.5014543 231.4357472 230.904545 228.4452344 225.1041178 219.8058274 213.5443128 206.2975685 197.3656075 189.2249716 179.4807484 169.5975758 159.2471505 147.9433199 136.1737457 123.6420626 110.3940098 96.5089084 82.28404571 68.5499176 55.41777647 43.68662153 36.06961939 33.47083544 36.36917477 42.27305527 49.08477386 56.21869423 62.34536259 67.59920062 72.10174446 75.28129971 77.35694597 78.19467361 77.7695212 76.51844512 74.07919878 71.24930419 67.55322016 64.16677319 60.56253523 56.96678046 53.07791545 49.42999947 46.29732035 42.58580573 39.02026681 34.7910952 30.83460921 26.77240944 23.36101615 22.54029895 23.09916359 25.74604984 30.27998505 35.18748501 40.22424061 44.6104533 49.50609355 54.20996726 59.70403869 65.56106967 72.79725006 80.50052043 90.19047291 99.87048998 110.9676506 121.7923057 132.82432 143.0631371 153.7220323 163.1276083 171.9766616 180.2240808 186.8376274 193.4550253 198.9367037 203.459676 206.457021 208.8139213 209.5129949 208.8890468 207.1707987 203.521945 199.2740399 193.8125922 187.5788699 180.7166576 173.0184721 165.0193086 156.3103841 147.1482531 137.3582282 127.1727485 115.9050399 104.0482081 91.26600177 78.03500078 63.95462843 50.00672651 36.97353112 25.08447736 17.46187246 17.71874296 24.36822084 32.23733892 40.03999186 46.71954913 52.24276677 57.32066462 60.90031742 63.09567497 65.09215282 65.68886359 65.34908371 64.74995612 63.31260758 61.68367204 60.23019048 58.02764375 55.71829681 53.39727362 50.80677972 46.93742641 42.989567 39.13392661 33.74052734 28.0936193 22.02853243 15.764123 11.04171473 10.06730454 13.92851985 19.02377626 24.71599854 29.93607248 35.17029522 40.15087306 45.60704774 51.541586 57.99330513 65.9602863 74.65361966 84.69773044 95.78857062 108.3993706 121.0381344 134.6458497 148.3255491 162.2507702 175.8559192 188.3601399 200.5571141 211.4480209 221.4196354 229.8698753 236.6281993 241.448222 244.7699286 245.6250897 244.9220715 243.0522577 238.7274631 233.695633 227.9576503 220.9142686 213.2458367 204.8987499 196.3548989 186.7669745 176.0309938 164.4024781 151.4004775 138.0441398 122.9422313 107.3877739 90.47541995 74.3482401 58.50734228 43.60805182 32.6750981 27.79210765 30.48685904 38.06960931 46.63583376 55.30040111 63.0483853 69.64083724 74.71707918 78.21752031 80.59243745 81.76899386 81.26772476 79.90991326 77.43783933 75.10526034 71.76356091 68.31657105 65.20498558 61.75292084 58.37525578 54.67379046 50.45518519 45.39344097 40.12711772 33.95842285 26.9860084 19.93312948 13.63534469 9.642135157 11.29041138 16.16947012 22.31811144 28.01026674 33.61123448 39.28046174 44.96917707 51.51046896 58.58521822 66.84309298 75.9567421 86.44973248 97.58405834 109.692921 121.9300994 134.9073628 147.6186348 160.1609941 171.9291314 183.7944075 194.4047741 205.2192567 214.7573516 223.8749152 231.2129305 237.5566921 241.5772786 243.6089167 243.1699819 240.4439554 235.5568205 228.8496264 220.9163959 211.6706906 201.4251228 191.3969877 180.5331505 170.2320242 159.5890393 149.0973376 137.4169926 125.675621 113.0950084 100.2151196 86.75360028 73.02235604 58.77842285 45.44490081 32.15985062 22.46439283 19.2095073 24.06889487 32.87475569 42.17654802 51.37612706 58.87363408 66.06530916 71.13834437 75.56953429 78.46019625 79.9934493 80.08217319 78.88772235 76.87149612 74.6722598 71.09602687 67.73527813 64.26777212 61.00628555 57.22486301 53.37731065 49.3878084 44.98590901 40.41314078 35.21216575 29.57406021 23.78231481 17.79864549 12.64565018 8.663711016 8.426272374 12.50795617 18.26566189 25.22956258 33.04158358 41.4686303 50.76818738 60.86994199 72.11753347 83.84846291 96.42353112 109.0625776 122.6315077 135.6529823 148.3113303 161.2619906 172.6024615 183.6681711 193.6489454 203.3435838 211.74073 219.3629105 226.3186994 230.9090506 235.1259632 237.3566769 237.9914946 236.7295838 234.2628975 229.6847183 223.5689962 216.2356285 208.3400945 199.224343 189.484707 179.2184163 168.1314147 156.7417485 144.1357155 130.8593624 116.5143408 101.4647154 85.94965284 70.08923895 55.25583597 41.76530522 32.70171881 30.38594093 34.37084389 42.10474533 50.55231057 57.93456564 65.20762334 70.92973331 75.34314245 77.88519845 79.34589067 79.68086568 79.42338098 77.73123439 76.43425615 73.81981953 70.91725981 68.06298376 65.31136269 62.32713426 59.33424955 56.17232506 52.89453437 48.49173222 44.45324307 38.86134951 34.39730968 29.33906392 25.84168403 23.85392609 24.4940406 27.20350433 31.29734137 35.49382471 39.68170715 44.16860329 48.74334061 53.33606676 58.7756935 65.1538253 72.248268 80.57530125 90.32426987 100.4462144 111.2178393 122.1143912 133.083134 143.4070219 153.8274751 162.9601648 172.003255 180.2077128 187.8620196 194.9906208 200.9296563 206.3603644 209.8600462 212.362828 213.2871757 212.6299453 210.0649927 205.8923396 200.6916073 193.7024855 186.2251042 177.8373876 169.182846 160.4098296 151.254808 141.744198 132.1426663 121.8005731 111.0594435 99.55396928 87.71299237 75.07251361 62.19329479 49.25727353 36.90068332 24.867555 15.95601018 14.43450722 20.43754087 28.44452289 36.83789146 44.20904163 50.3421441 55.49687326 59.99085337 63.61836698 65.79407541 67.29678441 67.36785003 67.28012682 66.13385153 64.19586018 61.80569203 59.11846329 56.326757 53.12362536 49.3903723 45.25739845 40.47344629 36.07999915 30.94419944 25.50622301 19.498018 13.85478597 9.258415737 7.382704599 10.89879204 15.59585408 20.81156699 25.63937693 30.81594176 35.98495328 41.59484418 48.13618094 55.65712017 64.00670895 73.83700088 84.98260261 97.22881635 109.5383799 123.0087253 136.3486917 149.5897303 162.4565701 174.6879619 186.8632761 197.9064637 208.463441 218.0462457 226.1553498 232.7399833 237.6882111 240.574239 241.6691371 240.8991842 238.7158418 234.8426606 230.3488742 224.3400652 217.6625072 210.3392638 201.9992382 193.8443513 184.3250656 174.0872648 162.3250415 149.6859011 135.9605833 120.595463 105.1774923 88.45126341 71.74716453 56.07917555 42.10313855 31.52551661 27.04112558 29.86063787 36.79276364 44.79978671 52.71358663 59.94965571 65.93922193 70.47542288 73.87250099 76.5211301 77.61116966 78.15639813 77.42832916 76.50518903 75.25630142 72.89245398 70.5378417 67.37137418 63.97095225 60.10110389 55.65322421 50.94988274 45.28966389 39.44151164 32.21270819 25.88743807 19.0926866 14.19889857 11.96089038 14.41794613 18.63464514 23.91126671 28.68063844 33.83470755 38.85622708 44.05822039 49.90762422 56.6155411 64.18824162 73.44482956 83.52817756 94.90785297 106.8402927 119.0027133 131.8858575 145.2728422 158.107653 171.1155436 183.6345954 195.4653446 206.5183347 216.8244565 226.1494682 233.713256 239.7467326 243.2815401 245.1512618 244.8558927 242.4807617 237.7983753 231.8644024 224.1713775 215.1386641 205.9460739 196.1809741 185.704907 175.4857255 164.6942129 153.4284643 141.4379748 129.2410301 115.8534166 101.55254 86.28887747 71.1554486 55.75911726 40.93792985 27.94829337 19.9044256 21.27003674 29.51444486 39.61933048 49.18948575 58.30209191 65.23320562 71.0886998 76.2280282 79.15576119 80.76974113 81.37763202 80.9405439 79.18471197 76.05088067 74.22676852 70.70431143 67.56142551 64.18217819 61.12991479 58.2123369 54.91603844 51.54969367 47.4840936 43.0724815 37.90729082 32.06570984 26.25555406 20.23179248 14.1107134 9.734053984 9.076989876 13.51262327 19.79773143 26.39890025 34.12510407 42.47814476 51.64510677 61.95650989 72.80953907 84.71024281 96.64325029 109.1617753 121.4549317 134.3682171 146.4268507 158.9449572 170.8435494 182.6760026 193.8568339 204.2594516 213.5927019 222.0406316 228.827644 233.7477644 236.8759263 237.9613619 236.966179 234.1147101 229.1870381 224.1817093 216.4276284 208.4658714 200.300202 191.4855401 182.1862408 172.8783565 162.7792307 151.7007662 140.4308109 127.2618834 113.7477654 98.84741596 83.67063173 68.14370212 52.85773764 40.21881871 30.82559642 29.03132651 33.8947639 41.86776929 50.50777494 58.45288361 65.28852646 70.75831692 74.88215232 77.74406099 79.58297829 79.95034809 79.65788335 77.88544911 75.8258073 73.35025373 70.10347497 67.24746374 63.97059157 60.52774498 57.11646537 53.55673742 50.12992938 46.12249208 41.49848574 37.31658513 32.4922105 27.94633559 24.87698565 23.59381447 23.96076158 26.80040705 30.08399196 34.05870385 38.57891497 42.35973376 47.51395336 52.71287563 58.52895373 65.40757423 73.10259159 81.5212166 90.93879882 100.798118 111.1732497 121.7690592 132.2407921 142.5418873 152.5817539 162.12154 171.3221313 179.7697654 187.7272265 195.1926613 201.5107755 206.4319429 210.5257081 213.297279 214.4266677 213.8513109 211.8062201 208.0670302 202.84618 196.8751105 189.7550017 182.3000587 173.704514 165.3817899 156.5709677 147.3967771 137.5202304 127.3064043 116.1224224 103.4159474 90.57504033 76.5336488 62.35712219 47.91532627 34.42806904 22.6201661 15.61447746 17.83637434 25.23061018 33.72654206 41.89801648 48.61681037 55.01118708 59.82566605 64.13997728 66.798 68.96694094 69.65596087 69.09136809 67.91550211 66.20686326 63.62544833 61.21973528 58.5877019 55.75500581 52.96067058 49.86900179 46.6413958 42.7342894 38.29888824 33.69925524 28.3015292 21.7509717 16.18000551 10.30146504 6.988574713 9.645069149 14.77889188 20.68398253 26.51611358 32.39781973 38.12036244 44.50666034 51.99526718 60.42045038 69.53146779 79.62091873 91.06275873 102.5245674 114.5677699 127.2263018 139.1832947 151.7038478 163.5230987 175.1295379 186.3009255 196.8498592 206.6454205 215.5628958 222.9830978 230.0946829 234.8787839 238.4062594 240.1048988 239.9875186 238.4019453 235.4663559 230.5858258 225.0851886 218.2064991 210.7720529 202.3874909 193.2024173 182.7367623 171.9771145 159.4542176 146.1076024 131.8132745 116.6504161 101.2131775 84.53439468 68.97735862 53.58337649 40.28807347 30.58033113 26.68548285 28.73237126 34.76301945 41.74578709 48.98771848 55.34742601 61.17700001 66.28411217 70.65731785 74.36388795 76.42470587 78.4084492 79.31068163 79.28740768 78.52093231 76.38916504 74.03321916 70.24266154 66.1904921 61.27465816 56.04821718 50.05976682 43.95530029 37.68887526 30.79140865 24.7917552 18.66997822 13.50755951 11.27152152 12.51355474 15.85930002 20.35090545 25.19513962 29.87601466 35.04621094 40.52320316 46.92012544 54.05030265 62.68077398 72.67473755 83.39130092 95.3905909 108.2227367 121.1166609 134.3953858 147.8311309 160.7531555 173.6040174 185.5085908 197.0021087 207.4750557 217.034902 225.5874188 232.2094512 237.7383644 240.9753006 242.4072402 241.9619455 239.18807 235.0150435 229.0385893 222.4330381 214.9841744 206.6767276 197.6501852 188.3066562 178.7418097 168.0530339 156.9345385 144.7560868 131.8212269 117.6346294 102.8707356 87.3830407 70.84998731 55.63467062 40.90470807 28.76452147 22.34055931 25.10521376 33.29923439 42.89187967 51.72159774 59.59253716 65.87044615 71.83233554 75.85901766 78.55850429 79.78934121 79.92598127 78.74095622 77.01923565 74.41052478 71.09386404 67.97703837 64.4938206 61.10499136 58.23235467 55.53619743 52.26445669 49.33387584 46.14526271 42.74330717 39.10244435 34.88302032 30.11309098 24.74527221 19.35595411 14.45254329 11.84326891 12.75411037 17.47321931 24.26398369 31.80375448 40.55025246 49.98525668 60.2283477 71.59271314 83.94740416 96.01275572 109.0944418 122.3942209 134.8434195 148.5424192 160.4651495 172.8330994 184.3852681 194.4617712 205.7435506 214.1384022 222.6164336 228.6915831 234.3761576 237.4078873 238.6444889 237.0787445 233.9009776 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