2020年APMCM（亚太地区大学生数学建模竞赛）A题
题目（英文）
题目（中文）
Matlab中的代码实现：
clear;
data1=[
-5.002041336 3.571003073
-5.001250267 3.63476944
-4.994956493 3.761706591
-4.982451439 3.887674093
-4.963823318 4.012461662
-4.939159393 4.135859013
-4.908545971 4.257654667
-4.872071266 4.377639294
-4.829821587 4.495601654
-4.78188467 4.61133194
-4.728347778 4.724618912
-4.669297218 4.835252285
-4.604821205 4.943022251
-4.535006523 5.047717094
-4.459940434 5.149127483
-4.379710197 5.247041702
-4.294402599 5.34125042
-4.249872208 5.386899471
-4.204223156 5.431429863
-4.110014439 5.516737461
-4.012099743 5.596968174
-3.910689592 5.672034264
-3.805994511 5.741848946
-3.698225021 5.806324959
-3.587591648 5.865375042
-3.474304438 5.918912411
-3.358574629 5.966849327
-3.24061203 6.009099007
-3.120627642 6.045573711
-2.998831511 6.076186657
-2.875434637 6.100851059
-2.750647068 6.119479179
-2.624679565 6.131983757
-2.497742414 6.138277531
-2.433975935 6.139068604
-2.370209455 6.138277531
-2.243272305 6.131983757
-2.117304802 6.119479179
-1.992517114 6.100851059
-1.869120002 6.076186657
-1.74732399 6.045573711
-1.627339482 6.009099007
-1.509376884 5.966849327
-1.393646955 5.918912411
-1.280359864 5.865375042
-1.169726253 5.806324959
-1.061956763 5.741848946
-0.957261562 5.672034264
-0.855851412 5.596968174
-0.757936716 5.516737461
-0.663727939 5.431429863
-0.618079066 5.386899471
-0.573548615 5.34125042
-0.488241106 5.247041702
-0.408010691 5.149127483
-0.332944542 5.047717094
-0.26312986 4.943022251
-0.198653832 4.835252285
-0.13960366 4.724618912
-0.086066507 4.61133194
-0.038129587 4.495601654
0.004119921 4.377639294
0.040594831 4.257654667
0.071207948 4.135858536
0.095872097 4.012461662
0.114500076 3.887674093
0.127004698 3.761706591
0.133298784 3.63476944
0.134089619 3.57100296
0.133298784 3.507236719
0.127004698 3.38029933
0.114500061 3.254331827
0.095872067 3.129544258
0.071207903 3.006147146
0.04059476 2.884351015
0.004119827 2.764366388
-0.03812971 2.646404028
-0.086066656 2.530673981
-0.139603823 2.417387009
-0.198654041 2.306753397
-0.263130099 2.198983908
-0.33294481 2.094288826
-0.408010989 1.992878556
-0.488241434 1.894963861
-0.573548973 1.800755143
-0.618079424 1.75510633
-0.663728297 1.710575938
-0.757937014 1.62526834
-0.85585171 1.545037985
-0.95726186 1.469971776
-1.061957002 1.400157094
-1.169726491 1.335681081
-1.280359983 1.276630878
-1.393647075 1.223093748
-1.509377122 1.175156832
-1.627339602 1.132907271
-1.747324109 1.096432447
-1.869120121 1.065819263
-1.992517114 1.0411551
-2.117304802 1.022527099
-2.243272305 1.010022521
-2.370209455 1.00372839
-2.433975935 1.002937555
-2.500258684 1.003776312
-2.631563902 1.010425806
-2.761053324 1.02357018
-2.888566017 1.043048024
-3.013940334 1.068697929
-3.137015343 1.100358725
-3.257629156 1.137868881
-3.375620842 1.181067109
-3.490828753 1.229792118
-3.603091478 1.28388238
-3.712248087 1.343176723
-3.81813693 1.407513738
-3.9205966 1.476732016
-4.019465923 1.550670147
-4.114583492 1.629166961
-4.205787659 1.712060928
-4.292917728 1.79919076
-4.375811577 1.890395164
-4.45430851 1.985512614
-4.52824688 2.084382057
-4.597465038 2.186841726
-4.661801815 2.29273057
-4.721096039 2.401887178
-4.775186539 2.514150143
-4.823911667 2.629358053
-4.867109776 2.747349501
-4.904620171 2.867963552
-4.936280727 2.991038322
-4.961930752 3.11641264
-4.981408596 3.243925333
-4.994553089 3.373414993
-5.001202583 3.504719973
-5.00204134 3.57100296];
data2=[
8.677122405 3.64224661
8.676394463 3.687354565
8.670593262 3.777155638
8.659057617 3.866381168
8.641858101 3.955003262
8.619065285 4.042994976
8.59074688 4.130329132
8.556975365 4.216977596
8.517818451 4.302913189
8.47334671 4.38810873
8.423631668 4.472536564
8.368741035 4.55616951
8.308745384 4.638980389
8.24371624 4.720941067
8.173721313 4.802024364
8.098831177 4.882203579
8.019116402 4.9614501
7.93464613 5.039737701
7.845490932 5.11703825
7.751720905 5.193324566
7.653404713 5.268568993
7.55061388 5.342744827
7.443417072 5.41582346
7.331884861 5.487778664
7.216086864 5.558582306
7.096093178 5.628207207
6.971973419 5.696626186
6.843798161 5.763811588
6.71163702 5.829735756
6.575559616 5.89437151
6.43563652 5.957691669
6.291936874 6.019668579
6.14453125 6.080275059
5.993488789 6.139483452
5.838880539 6.197266102
5.680775642 6.253596306
5.519243717 6.30844593
5.354355812 6.361788273
5.186181068 6.4135952
5.014789104 6.463840008
4.840250969 6.512494564
4.572695732 6.582435608
4.205594063 6.669869423
3.827164173 6.750450611
3.437964678 6.823959827
3.038555145 6.89017725
2.629495144 6.948883533
2.211344004 6.999860287
1.784661055 7.042887211
1.350005865 7.077745914
0.907937646 7.104216099
0.459015936 7.122079372
0.00380004 7.131115913
-0.225993395 7.132256031
-0.455786824 7.131115913
-0.911002696 7.122079372
-1.359924436 7.104216099
-1.801992655 7.077745914
-2.236647844 7.042887688
-2.663330793 6.999860287
-3.081481934 6.94888401
-3.490541935 6.89017725
-3.889951468 6.823959827
-4.279150963 6.750451088
-4.657581329 6.6698699
-5.024682522 6.582435608
-5.292237759 6.512494564
-5.466776371 6.463840008
-5.638167858 6.413595676
-5.806342602 6.36178875
-5.971230984 6.308446407
-6.132762432 6.253596783
-6.290867329 6.197266579
-6.445476055 6.139483929
-6.59651804 6.080275536
-6.743923664 6.019669056
-6.88762331 5.957692146
-7.027546883 5.894371986
-7.163624287 5.829736233
-7.295785427 5.763812065
-7.423960686 5.696626663
-7.548079967 5.628207684
-7.668073654 5.558582783
-7.783871651 5.48777914
-7.895403862 5.415823936
-8.00260067 5.342744827
-8.105391502 5.268569469
-8.203707695 5.193325043
-8.297478676 5.117038727
-8.386633873 5.039738178
-8.471103668 4.961450577
-8.550818443 4.882203579
-8.625707626 4.802024841
-8.695702553 4.720941544
-8.760732651 4.638980389
-8.820728302 4.556169987
-8.875618935 4.472537041
-8.925333977 4.388109207
-8.969805717 4.302913189
-9.008961678 4.216977596
-9.042734146 4.130329132
-9.071051598 4.042995453
-9.093845367 3.9550035
-9.111044884 3.866381168
-9.122579575 3.777155876
-9.128380775 3.687354565
-9.129109383 3.642246723
-9.128422737 3.598887205
-9.122947693 3.512352943
-9.112031937 3.426094532
-9.095715523 3.340147495
-9.074034691 3.254547834
-9.047028542 3.169331312
-9.014733315 3.084533453
-8.977187157 3.00019002
-8.934429169 2.916337013
-8.886496544 2.833010197
-8.833425522 2.750245094
-8.775256157 2.668077707
-8.712024689 2.58654356
-8.643769264 2.505678415
-8.57052803 2.425518274
-8.492338181 2.346098661
-8.409238815 2.267455339
-8.321266174 2.18962431
-8.228458405 2.112641096
-8.130853653 2.0365417
-8.028489113 1.961361408
-7.921403885 1.887136459
-7.809634686 1.813902378
-7.693219185 1.741694927
-7.57219553 1.670549989
-7.446601868 1.600503206
-7.316474915 1.531590462
-7.181853771 1.46384728
-7.042775154 1.397309661
-6.899277687 1.33201313
-6.751398087 1.267993689
-6.599175453 1.20528698
-6.521446705 1.174437046
-6.442747593 1.143967509
-6.282781124 1.084296346
-6.119465351 1.026327848
-5.952892303 0.970076978
-5.783153057 0.915558398
-5.610338211 0.862786949
-5.434539795 0.811777532
-5.255848408 0.76254487
-5.074355602 0.715103805
-4.890152454 0.669469178
-4.608965397 0.604436636
-4.225414753 0.524187207
-3.832664728 0.451430053
-3.43144536 0.386283606
-3.02248621 0.328866392
-2.606517076 0.279296875
-2.184267759 0.237693533
-1.756467819 0.204174891
-1.323847175 0.178859428
-0.887135386 0.161865622
-0.447062343 0.153311968
-0.225993395 0.152237222
0.003800057 0.153377071
0.459015995 0.162413746
0.907937765 0.180276945
1.350005984 0.206747383
1.784661293 0.241605788
2.211344242 0.284632862
2.629495382 0.335609317
3.038555384 0.394315898
3.437964916 0.460533291
3.827164412 0.534042239
4.20559454 0.614623427
4.572696209 0.7020576
4.840251446 0.771998584
5.014789581 0.8206532
5.186181545 0.87089777
5.354356289 0.922704816
5.519244194 0.97604692
5.680776119 1.030896664
5.838881016 1.087226748
5.993489265 1.145009637
6.144531727 1.204217911
6.291937351 1.264824271
6.435636997 1.326801181
6.575560093 1.390121341
6.711637497 1.454757333
6.843798637 1.52068162
6.971973896 1.587866902
7.096093655 1.656285763
7.216087341 1.725910783
7.331885338 1.796714544
7.443417549 1.86866951
7.55061388 1.9417485
7.65340519 2.015923977
7.751720905 2.091168642
7.845491409 2.167454958
7.934646606 2.244755507
8.019116402 2.32304287
8.098831177 2.402289629
8.173721313 2.482468605
8.24371624 2.563552141
8.308746338 2.645513058
8.368741035 2.72832346
8.423631668 2.811956644
8.473347664 2.896384478
8.517818451 2.981580019
8.556975365 3.06751585
8.59074688 3.154164314
8.619065285 3.241498232
8.641858101 3.329489946
8.659057617 3.418112278
8.670592308 3.50733757
8.676393509 3.597138882
8.677122116 3.642246723];
data3=[
-9.505531609 -1.213910888
-9.537237865 -1.190134779
-9.602733416 -1.142894551
-9.670953135 -1.09605207
-9.741833316 -1.049584662
-9.815308097 -1.003470326
-9.891311614 -0.957686389
-9.969781242 -0.912210716
-10.05065112 -0.867020902
-10.17631265 -0.799723276
-10.35165705 -0.710784553
-10.535432 -0.622587066
-10.72712032 -0.534951581
-10.92620049 -0.447699401
-11.13215532 -0.360651831
-11.34446439 -0.273629904
-11.56260834 -0.186454926
-11.89962769 -0.055014115
-12.36456415 0.122445475
-12.84349288 0.303735959
-13.33225906 0.490288525
-13.70279118 0.634516349
-13.95072281 0.733057681
-14.19877646 0.833719341
-14.44643384 0.936679753
-14.6931756 1.042118153
-14.93848132 1.150212967
-15.18183165 1.261142891
-15.4227083 1.375087701
-15.66059193 1.492225283
-15.89496319 1.612734873
-16.06812328 1.705437007
-16.18219604 1.768385467
-16.29509729 1.832277613
-16.4067644 1.897135582
-16.51713044 1.962981506
-16.62613277 2.029838601
-16.73370445 2.097728461
-16.8397807 2.16667322
-16.94429782 2.236696093
-17.04718994 2.307818675
-17.14839228 2.38006418
-17.24784004 2.453454202
-17.34546846 2.528010876
-17.44121275 2.603757416
-17.53500811 2.680715417
-17.62678869 2.758907553
-17.71649079 2.838356499
-17.80404853 2.91908439
-17.88939714 3.001112819
-17.97247183 3.084465542
-18.05320782 3.169163612
-18.13154032 3.255230245
-18.20740455 3.342687574
-18.28073465 3.431557194
-18.35146691 3.52186286
-18.41953546 3.613625626
-18.48487445 3.706868707
-18.54742341 3.801614237
-18.60711108 3.89788435
-18.66387698 3.995701722
-18.71765635 4.095088486
-18.76838222 4.196066777
-18.81598983 4.29865927
-18.86041438 4.402888638
-18.9015911 4.508776478
-18.93945519 4.616345462
-18.97394404 4.725617725
-19.00498853 4.836616483
-19.03252605 4.949363328
-19.05649182 5.063880397
-19.07682104 5.180190903
-19.09344893 5.298316441
-19.10630856 5.418279146
-19.11533729 5.540102771
-19.12046818 5.663808371
-19.12163645 5.789418621
-19.11878164 5.916955656
-19.11183247 6.046442689
-19.1007285 6.177901315
-19.08540276 6.311354209
-19.06579048 6.446822966
-19.04182688 6.584330259
-19.01344716 6.723899843
-18.98058656 6.865552233
-18.94318027 7.009311183
-18.90116352 7.155197207
-18.85447153 7.303235141
-18.80303735 7.453445498
-18.74679835 7.605850953
-18.68568976 7.76047418
-18.61964462 7.917337855
-18.54860032 8.076462491
-18.47248991 8.237872924
-18.39125077 8.401590746
-18.30481595 8.567637553
-18.21312066 8.73603602
-18.11610013 8.906807741
-18.01369066 9.07997755
-17.96044464 9.167467401
-17.85289567 9.343378524
-17.63963212 9.696957755
-17.42873319 10.05247403
-17.22010385 10.40944254
-17.01364802 10.76737958
-16.80927068 11.12579817
-16.50639357 11.66327004
-15.91273453 12.73165009
-15.33305155 13.78036279
-14.95308796 14.46211297
-14.67097952 14.96153611
-14.4840917 15.28791362
-14.29804175 15.60846704
-14.11273142 15.92271482
-13.92806677 16.23016676
-13.74395278 16.53034345
-13.56029228 16.82275687
-13.37699133 17.10692327
-13.19395276 17.38235464
-13.0567899 17.58290649
-12.96538075 17.71362549
-12.87398347 17.84188919
-12.78258512 17.96763711
-12.69117596 18.09080662
-12.59974413 18.21133726
-12.50827452 18.32917073
-12.41675847 18.4442444
-12.32518304 18.55649781
-12.23353526 18.66587265
-12.14180543 18.77230413
-12.0499795 18.87573396
-11.95804559 18.97610382
-11.86599292 19.07334893
-11.77380852 19.16741099
-11.68148159 19.25822953
-11.58899918 19.34574193
-11.49635049 19.42988987
-11.40352257 19.51061075
-11.31050353 19.58784408
-11.21728151 19.66153157
-11.12384461 19.73161275
-11.03018098 19.79802283
-10.93627872 19.86070352
-10.84212596 19.9195965
-10.74770975 19.97463699
-10.65302037 20.02576669
-10.55804378 20.07292513
-10.46276918 20.11605184
-10.36718361 20.1550842
-10.27127629 20.18996391
-10.17503425 20.22062834
-10.0784467 20.24701919
-9.981500669 20.26907382
-9.884184294 20.28673178
-9.786486772 20.29993476
-9.688395149 20.30862014
-9.589896465 20.31272529
-9.490981005 20.31219406
-9.391635811 20.30696167
-9.291849005 20.29697198
-9.191607632 20.28216019
-9.090901434 20.26246585
-8.989717453 20.23783281
-8.888044354 20.20819413
-8.785869718 20.17349582
-8.683181669 20.13367093
-8.57996833 20.08866332
-8.476217283 20.03841037
-8.371917732 19.9828516
-8.267056719 19.92192656
-8.161622908 19.85557478
-8.055603881 19.78373796
-7.948987762 19.70634914
-7.841762673 19.62335435
-7.733917277 19.5346888
-7.625438617 19.44029419
-7.516315897 19.34011004
-7.406536159 19.23407374
-7.296087525 19.12212481
-7.18495866 19.00420496
-7.073137146 18.88024941
-6.960611105 18.75020199
-6.847369202 18.6140001
-6.733398478 18.47158325
-6.618687597 18.322891
-6.503224682 18.16786288
-6.386997855 18.00643841
-6.2699947 17.83855497
-6.15220334 17.66415427
-6.033612437 17.48317367
-5.914209574 17.29555486
-5.793982335 17.1012374
-5.672919922 16.90015648
-5.551009378 16.69225596
-5.428239367 16.47747323
-5.304598011 16.25574781
-5.180072893 16.02701923
-5.117474996 15.9100109
-5.083943145 15.67844025
-5.01688144 15.23331798
-4.949817577 14.81189369
-4.882743995 14.41376898
-4.815653678 14.03854433
-4.748539067 13.68582133
-4.681393953 13.35520155
-4.614210239 13.0462855
-4.546981176 12.75867582
-4.479699476 12.49197302
-4.429199533 12.30542639
-4.39551293 12.18738885
-4.36180905 12.07435264
-4.328087085 11.96626916
-4.294346225 11.86308983
-4.26058539 11.76476283
-4.226804039 11.67123848
-4.193001094 11.58246819
-4.159175475 11.49840231
-4.125326641 11.41898899
-4.091453514 11.34418074
-4.057555282 11.27392572
-4.023630867 11.20817536
-3.989679459 11.14687889
-3.955700247 11.08998773
-3.921692153 11.03745222
-3.887654636 10.98922053
-3.853586347 10.94524407
-3.819487015 10.90547316
-3.785355021 10.86985816
-3.751189826 10.83834938
-3.716990888 10.81089499
-3.68275659 10.7874475
-3.64848666 10.76795615
-3.61417975 10.75237128
-3.579835318 10.74064322
-3.545452017 10.73272229
-3.511029575 10.72855776
-3.476566643 10.72809995
-3.442062681 10.73130028
-3.407516339 10.73810692
-3.372927079 10.74847236
-3.338294089 10.76234478
-3.30361602 10.77967558
-3.268892332 10.80041402
-3.234121946 10.82451151
-3.199304321 10.85191731
-3.164438109 10.88258174
-3.129522769 10.91645513
-3.094557221 10.95348675
-3.059540385 10.99362908
-3.024471993 11.03682922
-2.989350423 11.08303965
-2.954175407 11.13221071
-2.918945594 11.18429057
-2.883660175 11.23923065
-2.830626368 11.32689421
-2.759711635 11.45332451
-2.688558821 11.59029842
-2.617160907 11.73741642
-2.545510336 11.89428117
-2.473600358 12.06049426
-2.401423687 12.2356551
-2.328973168 12.41936742
-2.256241648 12.61123066
-2.183221975 12.81084746
-2.109907129 13.0178194
-2.036289824 13.23174699
-1.962363039 13.4522318
-1.888119623 13.67887541
-1.813552421 13.91127831
-1.701078748 14.26981244
-1.549913907 14.76429796
-1.397325302 15.27464801
-1.24325591 15.79767737
-1.009250275 16.59901234
-0.771591361 17.41093302
-0.611027373 17.95277997
-0.448696957 18.49135965
-0.28454299 19.02348253
-0.160196455 19.41641912
-0.076699161 19.6747
0.00728615 19.92957108
0.091766621 20.18063717
0.176749386 20.42749663
0.262241567 20.66975427
0.348250332 20.90700841
0.434782802 21.13886173
0.521846096 21.36491689
0.609447435 21.58477221
0.697593904 21.79803252
0.786292589 22.00429616
0.875550711 22.20316795
0.965375356 22.39424621
1.055773744 22.57713362
1.146752894 22.75143067
1.238320093 22.91674002
1.307385513 23.03458213
1.353616729 23.11012892
1.399998839 23.18320312
1.446532786 23.25375722
1.49321965 23.3217394
1.540060241 23.38710214
1.587055235 23.44979147
1.634205844 23.50976202
1.681512746 23.56696414
1.728976883 23.62134384
1.776599201 23.6728536
1.824380645 23.72144592
1.87232189 23.76706682
1.920424015 23.80966878
1.96868783 23.84920214
2.01711428 23.88561508
2.065704309 23.91886007
2.114458593 23.9488853
2.163378076 23.97564325
2.212464108 23.9990821
2.261716959 24.01915435
2.311137708 24.03580816
2.360727436 24.04899386
2.410486951 24.05866179
2.460416795 24.06476013
2.510518586 24.06724352
2.560792595 24.06606013
2.611239901 24.06115814
2.661861584 24.0524922
2.712658183 24.04000616
2.76363078 24.02365684
2.814780452 24.00339024
2.866107741 23.9791567
2.917613725 23.95090656
2.969299216 23.91859229
3.021165291 23.88216209
3.073212762 23.84156627
3.125442438 23.79675733
3.177855129 23.74768129
3.230451914 23.69429063
3.283233604 23.63653569
3.336201007 23.57436463
3.389355205 23.50772996
3.442697006 23.43658201
3.496227491 23.3608711
3.549947199 23.28054541
3.60385694 23.19555527
3.657958064 23.10585102
3.712251381 23.01138514
3.76673743 22.91210581
3.82141756 22.80796336
3.876292313 22.69890812
3.931362498 22.58489043
3.986629464 22.46586061
4.042093751 22.34176901
4.09775617 22.21256379
4.153618069 22.07819744
4.209679989 21.9386203
4.265942739 21.79378053
4.322407399 21.64363064
4.37907505 21.48811879
4.43594623 21.32719532
4.493022019 21.16081056
4.550302958 20.98891699
4.607790666 20.81146064
4.665485143 20.62839616
4.723388008 20.43966955
4.781499802 20.24523547
4.839821604 20.04503993
4.898354494 19.83903543
4.957098471 19.62717013
5.016055696 19.40939653
5.104891305 19.07154794
5.224091178 18.59993549
5.344158077 18.10378717
5.46509794 17.58270781
5.586918865 17.03629791
5.709627332 16.46415795
5.833230898 15.86588845
5.895370564 15.5568312
5.955378443 15.80472803
6.074245758 16.28301971
6.191607924 16.73833899
6.307496254 17.17112638
6.421942601 17.58181811
6.534977735 17.97085039
6.64663351 18.33865943
6.756940698 18.6856836
6.865931152 19.01235695
6.94682856 19.2442729
7.000364984 19.39275352
7.053589904 19.53639046
7.1065071 19.67524202
7.159120351 19.80936003
7.211433976 19.9388028
7.263451754 20.06362214
7.315177465 20.18387206
7.366614886 20.29961084
7.417768338 20.41088817
7.468641599 20.51776235
7.519238448 20.62028736
7.569563204 20.71851719
7.619619106 20.81250582
7.669411014 20.90230941
7.718941626 20.98797978
7.768215802 21.0695774
7.81723732 21.14714977
7.866009419 21.22075736
7.914536959 21.29044983
7.962823718 21.3562855
8.010872936 21.41831834
8.058688932 21.47660236
8.106276024 21.53119152
8.153637451 21.58214198
8.200777534 21.62950773
8.24770005 21.67334059
8.294408779 21.71370102
8.340908039 21.7506387
8.387201611 21.78421194
8.433293272 21.81447039
8.479186802 21.84147452
8.52488652 21.865274
8.570396205 21.88592714
8.615719636 21.90348577
8.660861131 21.91800603
8.705823931 21.92954406
8.750612354 21.93815169
8.795230179 21.94388292
8.839681725 21.94679604
8.883970232 21.94694288
8.928100017 21.94437959
8.972075401 21.939158
9.015899622 21.93133641
9.059576999 21.92096881
9.103111852 21.90810703
9.146506339 21.89280937
9.189766939 21.87512549
9.232894732 21.85511587
9.275896196 21.83283233
9.31877457 21.80832886
9.361532015 21.78165945
9.404175007 21.75288239
9.446705708 21.72204952
9.489128434 21.68921483
9.531448587 21.65443445
9.573667244 21.61776239
9.615790885 21.57925477
9.678804129 21.51816562
9.762523421 21.4307979
9.84592743 21.33706408
9.929050709 21.23740469
10.01192241 21.13225377
10.09457493 21.02204969
10.17703957 20.90723084
10.25934657 20.78823126
10.3415294 20.66549148
10.42361721 20.53944555
10.54664204 20.34513672
10.71063736 20.07856781
10.95706276 19.66976993
11.20475793 19.26072372
11.32934621 19.05979612
11.4127513 18.92817661
11.4964706 18.79893252
11.58053432 18.67250221
11.6649738 18.5493219
11.74982141 18.42982996
11.79240767 18.37160225
11.81376754 18.34333684
11.8567161 18.29025498
11.89995835 18.24169073
11.94347916 18.19754691
11.98726451 18.15772634
12.03130252 18.12213184
12.07557807 18.09066625
12.12007712 18.06323023
12.16478673 18.03972875
12.20969284 18.02006464
12.25478143 18.00413857
12.30003846 17.99185553
12.34545096 17.98311616
12.39100492 17.97782331
12.43668628 17.97587979
12.4824821 17.97718843
12.52837725 17.98165205
12.57435877 17.98917347
12.62041156 17.99965336
12.66652482 18.01299887
12.71268127 18.02910633
12.7588701 18.04788505
12.80507622 18.06923138
12.85128557 18.09305246
12.89748412 18.11924896
12.94365892 18.14772369
12.98979593 18.17838164
13.03588112 18.21112132
13.08190152 18.24584554
13.12784309 18.28246146
13.19657569 18.34071308
13.28781424 18.42408362
13.3784881 18.51325881
13.46848712 18.60745691
13.55770009 18.70590053
13.64601905 18.80781009
13.73333169 18.91240819
13.81952897 19.01891309
13.90449968 19.1265474
14.11083998 19.39546365
14.34499961 19.70391542
14.45571008 19.84617678
14.52690446 19.93480346
14.59588107 20.01754776
14.6625287 20.09363225
14.72673829 20.16227523
14.78839971 20.22270143
14.83290632 20.26215921
14.86172332 20.28549225
14.88984066 20.30632895
14.91724646 20.3245786
14.94392451 20.34013972
14.96986187 20.35291512
14.99504557 20.36280764
15.0194605 20.36972225
15.04309371 20.37355963
15.06593115 20.37422258
15.08795987 20.37161179
15.10916476 20.36563438
15.12953285 20.35618888
15.14905011 20.34318025
15.16770251 20.32651132
15.18547708 20.30608277
15.20235979 20.2817974
15.21833553 20.25356021
15.23339241 20.22127186
15.24751532 20.18483518
15.26069131 20.14415298
15.27290633 20.0991281
15.28414744 20.04966335
15.29439843 19.9956594
15.30364851 19.93702124
15.31188147 19.87365168
15.31908437 19.8054514
15.32524425 19.73232537
15.33249682 19.61318326
15.33838461 19.43617608
15.33984981 19.23770596
15.33678229 19.01699549
15.32907191 18.77326726
15.31660747 18.50573954
15.2992799 18.21363709
15.27697801 17.89617819
15.24959165 17.55258325
15.21701177 17.18207488
15.17912717 16.78387566
15.13582662 16.35720172
15.08700215 15.90127995
15.03254255 15.41532648
15.00316424 15.16084569
14.98860172 15.03213772
14.96237716 14.77755601
14.93995217 14.52672206
14.92124471 14.27960238
14.90617703 14.0361592
14.89466707 13.79635796
14.88663493 13.56016303
14.88200072 13.32753986
14.88068452 13.09845174
14.88260645 12.87286303
14.88768444 12.65073919
14.89583966 12.43204457
14.90699223 12.21674249
14.92106116 12.00479837
14.93796654 11.79617659
14.95762741 11.59084153
14.97996493 11.38875753
15.00489706 11.18989007
15.03234496 10.99420134
15.06222875 10.80165895
15.09446743 10.61222512
15.12898003 10.42586421
15.16568772 10.24254274
15.20450954 10.06222294
15.24536665 9.884870244
15.28817593 9.710449024
15.33285961 9.538924729
15.37933674 9.370259568
15.42752632 9.204420069
15.47734954 9.041370601
15.52872542 8.881074454
15.58157405 8.723497076
15.63581446 8.568602835
15.69136783 8.416356101
15.74815209 8.266720162
15.80608843 8.119661547
15.86509586 7.975143544
15.92509449 7.833131603
15.98600441 7.693587933
16.04774465 7.556480141
16.1102353 7.421770437
16.17339647 7.28942319
16.23714825 7.159404928
16.30140859 7.031677861
16.39858136 6.844308477
16.52917943 6.602173934
16.66037245 6.368568205
16.79152011 6.1432084
16.92197782 5.92580947
17.05110638 5.716087985
17.24090085 5.415278566
17.48331504 5.038416504
17.65433402 4.772689784
17.76200396 4.603063121
17.8638509 4.439124493
17.95923239 4.280589931
18.04750924 4.127174385
18.12803792 3.978594965
18.18296396 3.870162194
18.2168244 3.799237204
18.24838717 3.729361174
18.27757236 3.660498475
18.30430008 3.592614014
18.32848827 3.52567162
18.35005703 3.459636202
18.36892645 3.394472669
18.38501664 3.33014485
18.39824769 3.266617653
18.40853755 3.203854908
18.41580848 3.141821522
18.41998057 3.080482405
18.4209696 3.019801386
18.4187 2.959743372
18.41308755 2.900272194
18.4040545 2.8413533
18.39152095 2.782949978
18.37540485 2.725028217
18.35562629 2.667550767
18.33210754 2.610483615
18.30476653 2.553790591
18.2735212 2.497436064
18.23829382 2.441384941
18.19900448 2.385601053
18.15557112 2.330049307
18.10791385 2.274694073
18.05595276 2.219500259
17.99960795 2.164431693
17.93879952 2.109453286
17.87344649 2.054529405
17.80347005 1.99962442
17.72878704 1.944702699
17.64932082 1.88972915
17.56498824 1.834667603
17.47571048 1.779483507
17.38140656 1.72414069
17.28199766 1.66860352
17.17740173 1.612836907
17.06753993 1.55680468
16.95233129 1.500472287
16.83169699 1.443803557
16.70555389 1.386762859
16.57382533 1.329315101
16.43642817 1.271424113
16.29328359 1.213055343
16.14431061 1.154172619
15.9894304 1.094740312
15.82856092 1.034723598
15.66162333 0.974086308
15.48853774 0.91279308
15.30922209 0.850808282
15.21720335 0.819545625
15.03234712 0.757615139
14.66724498 0.63835723
14.30833186 0.525068898
13.95565421 0.417549582
13.60926276 0.315598181
13.26920611 0.219013865
12.93553285 0.127595534
12.60829264 0.041142897
12.28753298 -0.040545417
11.97330572 -0.117669967
11.66565727 -0.190431854
11.3646373 -0.259031908
11.07029549 -0.323670691
10.78268041 -0.384549571
10.50184066 -0.441869111
10.22782591 -0.495830139
9.96068366 -0.546633487
9.700465741 -0.594480525
9.323224152 -0.661146237
8.844922212 -0.741560465
8.395192718 -0.81376332
7.77502892 -0.910187295
7.221357266 -0.99717521
6.88983591 -1.052603192
6.661209912 -1.093970479
6.518415704 -1.121828412
6.383376681 -1.150144287
6.256141972 -1.179119203
6.136760704 -1.208953858
6.025282005 -1.239849216
5.921755003 -1.272006242
5.826227747 -1.305625497
5.738750442 -1.340908082
5.678453808 -1.368582325
5.640797564 -1.387656356
5.605180937 -1.407259052
5.571609865 -1.427415651
5.540091366 -1.448151392
5.510631379 -1.469491108
5.483235302 -1.491460175
5.457910154 -1.51408356
5.434661334 -1.537386502
5.413495859 -1.561393835
5.394418589 -1.586131068
5.377436541 -1.6116229
5.362555655 -1.637894704
5.349781868 -1.664971449
5.33912166 -1.692878375
5.330580968 -1.721640449
5.324166272 -1.751282911
5.31988297 -1.78183073
5.317737539 -1.813309144
5.31773592 -1.845743257
5.319884589 -1.879158038
5.324189486 -1.913578725
5.33065655 -1.949030423
5.339292798 -1.9855381
5.350103089 -2.02312713
5.363093902 -2.061822348
5.378272255 -2.10164899
5.395643006 -2.142632163
5.415213175 -2.184796968
5.436988699 -2.228168511
5.473800051 -2.295543406
5.530657195 -2.389834503
5.596445894 -2.489404484
5.671214195 -2.594454315
5.755012308 -2.705184691
5.847888279 -2.821796612
5.949891237 -2.944490873
6.06107031 -3.073468407
6.120116365 -3.140376147
6.150340512 -3.173867522
6.211518749 -3.238639913
6.273641752 -3.300512488
6.336676051 -3.359542045
6.400588172 -3.415785377
6.465345186 -3.469299277
6.530913079 -3.520140551
6.59725892 -3.568365985
6.664348697 -3.614032366
6.732149479 -3.657196499
6.800627793 -3.69791517
6.869750169 -3.736245167
6.939483134 -3.772243312
7.009793216 -3.805966356
7.080647484 -3.837471156
7.152011386 -3.866814431
7.22385253 -3.894053069
7.296137445 -3.919243723
7.368832119 -3.942443348
7.44190308 -3.96370863
7.515317935 -3.983096392
7.589042135 -4.000663452
7.663042746 -4.016466633
7.737286297 -4.030562621
7.811739317 -4.043008236
7.886368333 -4.053860367
7.961140414 -4.063175767
8.036021548 -4.07101119
8.148474706 -4.080113613
8.298482613 -4.087600417
8.448325861 -4.090189753
8.597737215 -4.088335918
8.746448902 -4.082493278
8.894194228 -4.073116131
9.040704338 -4.060658908
9.185713619 -4.045575977
9.328953217 -4.028321634
9.470156438 -4.009350245
9.677558116 -3.978667595
9.944471462 -3.935988431
10.19842477 -3.894619524
10.37909872 -3.866639244
10.49438402 -3.850288335
10.60522622 -3.836309566
10.71135862 -3.825157336
10.81251237 -3.817285944
10.90842077 -3.813149789
10.99881713 -3.813203202
11.06283669 -3.816266001
11.10365385 -3.819853753
11.14294211 -3.824744473
11.18066908 -3.830994949
11.2168002 -3.838661967
11.25130308 -3.84780235
11.28414317 -3.858472883
11.315287 -3.870730354
11.34470326 -3.884631585
11.37235524 -3.900233261
11.39821269 -3.917592338
11.42224 -3.936765502
11.44440477 -3.957809574
11.46467353 -3.980781376
11.4830128 -4.00573766
11.49938804 -4.032735247
11.51376685 -4.061830959
11.52611684 -4.093081482
11.53640238 -4.126543771
11.54459216 -4.162274445
11.55065054 -4.200330392
11.55454622 -4.240768434
11.55624464 -4.283645324
11.55571233 -4.329017883
11.5529169 -4.376942864
11.54782272 -4.427477088
11.54039955 -4.480677377
11.53061069 -4.536600416
11.51842482 -4.595303094
11.50380846 -4.656842232
11.48672708 -4.721274515
11.46714719 -4.7886569
11.44503749 -4.859046073
11.42036234 -4.93249872
11.39308828 -5.009071796
11.36318398 -5.088822122
11.31331865 -5.214529009
11.23731082 -5.393788379
11.15017417 -5.58677872
11.05164201 -5.793954734
10.94144766 -6.015770314
10.81932333 -6.252679757
10.68500125 -6.505137902
10.53821472 -6.773598776
10.3786949 -7.058516678
10.29407725 -7.207289173
10.26053643 -7.370464896
10.19536804 -7.697559345
10.13270787 -8.025560231
10.07250409 -8.354365517
10.0147038 -8.68387479
9.959254093 -9.013985475
9.906103135 -9.344597695
9.855199101 -9.675608878
9.806489087 -10.00691861
9.759920183 -10.33842485
9.715441644 -10.6700261
9.672999482 -11.00162196
9.63254187 -11.33311038
9.59401698 -11.66438988
9.557371907 -11.99535949
9.522553743 -12.32591773
9.48951174 -12.65596363
9.458191912 -12.98539462
9.428542432 -13.31411083
9.400511472 -13.64200968
9.374046125 -13.96899076
9.349094565 -14.29495257
9.314389773 -14.78176119
9.272924769 -15.42632534
9.236571224 -16.06498767
9.2049102 -16.6969373
9.177521682 -17.32136227
9.153987812 -17.93745277
9.133889653 -18.54439685
9.11680827 -19.14138579
9.102324726 -19.72760655
9.084553393 -20.58497645
9.066041363 -21.68288288
9.050380909 -22.72312616
9.034221619 -23.69921814
9.01975751 -24.38528725
9.008213 -24.81924076
8.994659106 -25.23350857
8.978675812 -25.62727872
8.95984526 -25.99974141
8.937748515 -26.35008468
8.918779758 -26.59784031
8.904895466 -26.75567575
8.889958434 -26.90752514
8.873917374 -27.05328699
8.856718839 -27.19286198
8.838311004 -27.32614643
8.8186415 -27.45303887
8.79765796 -27.57343994
8.775308018 -27.68724817
8.751539305 -27.79435988
8.726299457 -27.8946736
8.699536104 -27.98808998
8.67119688 -28.07450968
8.641229958 -28.1538269
8.609581891 -28.22594014
8.576200852 -28.29075222
8.549996261 -28.33450734
8.531957694 -28.36134303
8.513457002 -28.38629567
8.494486625 -28.4093523
8.475040086 -28.43049996
8.455111985 -28.44972785
8.434694226 -28.46702302
8.413781949 -28.48237035
8.392367055 -28.49575905
8.370443608 -28.50717615
8.348005667 -28.5166087
8.325045675 -28.5240459
8.301557694 -28.52947264
8.277535244 -28.53287812
8.252971309 -28.53424723
8.227859408 -28.53356915
8.202193604 -28.53083095
8.175966879 -28.52602182
8.149172214 -28.51912448
8.12180421 -28.5101303
8.09385531 -28.49902416
8.065319575 -28.48579527
8.036190526 -28.47043066
8.006461145 -28.45291522
7.976124955 -28.43324032
7.945175475 -28.41139084
7.897587303 -28.37451146
7.831929253 -28.31761167
7.763700356 -28.25178464
7.692848248 -28.1769332
7.61932056 -28.09295369
7.543065465 -27.99974462
7.464030057 -27.89720665
7.382161968 -27.78523614
7.297409371 -27.66373157
7.20971936 -27.53259363
7.119040106 -27.3917208
7.025318703 -27.24100945
6.928502784 -27.08036023
6.828539983 -26.90966949
6.72537847 -26.72884005
6.618965881 -26.5377661
6.509249307 -26.33635047
6.396176381 -26.12448733
6.279695278 -25.90207736
6.159753088 -25.66902121
6.036297986 -25.42521524
5.909277604 -25.17055795
5.778638495 -24.90495
5.644329912 -24.62828774
5.506298409 -24.34046968
5.364491617 -24.04139647
5.21885771 -23.73096663
4.993116219 -23.24380385
4.678242733 -22.55355618
4.514738084 -22.19076319
4.350764709 -21.82451584
4.032178019 -21.10692283
3.725797716 -20.40913538
3.431295291 -19.73108761
3.148343045 -19.07271043
2.876612198 -18.43393472
2.615775051 -17.8146914
2.365502827 -17.21491351
2.125467285 -16.63453087
1.895340727 -16.07347654
1.568011301 -15.26798243
1.163188731 -14.26099603
0.792092242 -13.33008549
0.452095856 -12.47470014
0.140573626 -11.69429256
-0.075961576 -11.15786047
-0.212787925 -10.82338442
-0.343972851 -10.5073432
-0.469844599 -10.20966933
-0.590731421 -9.930294243
-0.706961588 -9.669148833
-0.818863306 -9.426165079
-0.926764848 -9.201273878
-1.030994419 -8.994407208
-1.106954409 -8.851043981
-1.156617828 -8.761065474
-1.205547974 -8.675554364
-1.25378574 -8.594502014
-1.301372292 -8.517900325
-1.348348593 -8.445740119
-1.394755536 -8.378012759
-1.44063449 -8.314710687
-1.486026079 -8.255824185
-1.530971738 -8.201345154
-1.575512227 -8.151265497
-1.619688576 -8.105575497
-1.66354195 -8.064267595
-1.707113243 -8.027332613
-1.750443756 -7.994762454
-1.793574114 -7.966547939
-1.83654575 -7.942681511
-1.879399291 -7.923153452
-1.92217617 -7.907955664
-1.964917149 -7.897079509
-2.007663391 -7.890516889
-2.050455791 -7.888258627
-2.093335515 -7.890296084
-2.136343593 -7.896621702
-2.179520919 -7.907225764
-2.222908657 -7.922099632
-2.266547839 -7.941235748
-2.310479358 -7.964624934
-2.354744381 -7.992258552
-2.399383935 -8.024127964
-2.444438917 -8.060225073
-2.489950492 -8.10054124
-2.535959823 -8.145067287
-2.582507402 -8.193795118
-2.629634798 -8.246716093
-2.67738304 -8.303821575
-2.725792889 -8.365102927
-2.774905374 -8.430551509
-2.824761796 -8.500159225
-2.875402914 -8.573917436
-2.926869758 -8.651816965
-2.979203628 -8.733849173
-3.059419455 -8.864629187
-3.169790887 -9.053388187
-3.284368421 -9.258525125
-3.403480296 -9.479971435
-3.52745448 -9.717658557
-3.656619483 -9.971518466
-3.791303273 -10.24148152
-3.931834629 -10.52748023
-4.154313165 -10.9863934
-4.645385923 -12.01106854
-5.010483742 -12.77258923
-5.106734158 -12.97187204
-5.30468115 -13.37685522
-5.509557872 -13.78972261
-5.72096806 -14.20966766
-5.938514374 -14.63588488
-6.161800011 -15.06756879
-6.390428168 -15.50391283
-6.624002045 -15.94411151
-6.862125379 -16.38735829
-7.104400288 -16.83284767
-7.350431049 -17.27977417
-7.599819782 -17.72733016
-7.852170223 -18.17471232
-8.107085572 -18.62111299
-8.364168485 -19.06572671
-8.623022701 -19.50774799
-8.883251417 -19.94636918
-9.144457292 -20.38078698
-9.406243524 -20.81019265
-9.668213851 -21.23378287
-9.92997147 -21.65075002
-10.19111796 -22.06028859
-10.45125922 -22.46159312
-10.70999574 -22.85385812
-10.96693235 -23.23627595
-11.2216717 -23.60804329
-11.47381646 -23.96835034
-11.72297035 -24.31639594
-11.96873711 -24.65137028
-12.15059986 -24.89353722
-12.27057552 -25.05048079
-12.38948224 -25.20370145
-12.5072682 -25.35309985
-12.62388589 -25.49857665
-12.73928349 -25.64003253
-12.85341347 -25.77736167
-12.9662251 -25.91046905
-13.07766871 -26.03924885
-13.18769463 -26.16360391
-13.29625426 -26.28343057
-13.40329688 -26.39863165
-13.5087728 -26.5091035
-13.61263344 -26.61474894
-13.71482805 -26.71546215
-13.81530804 -26.81114597
-13.91402375 -26.90169674
-14.01092551 -26.98701727
-14.10596257 -27.06700609
-14.19908634 -27.14155952
-14.29024715 -27.2105804
-14.37939535 -27.27396508
-14.46648125 -27.3316142
-14.55145519 -27.38342845
-14.63426751 -27.42930417
-14.71486961 -27.46914417
-14.79321075 -27.50284265
-14.86924126 -27.53030459
-14.92471796 -27.54674461
-14.96095489 -27.55570208
-14.9965861 -27.56304427
-15.03160617 -27.56875606
-15.06600756 -27.57282665
-15.09978486 -27.57524526
-15.13293268 -27.57599459
-15.16544345 -27.57506386
-15.19731178 -27.57244227
-15.2285312 -27.56811686
-15.25909629 -27.56207251
-15.28899951 -27.55429843
-15.31823437 -27.54478382
-15.34679656 -27.5335114
-15.37467852 -27.52047254
-15.40187484 -27.50565428
-15.42837798 -27.48904366
-15.45418361 -27.47062556
-15.47928417 -27.45039136
-15.50367319 -27.42832593
-15.52734635 -27.40441847
-15.550295 -27.37865387
-15.57251484 -27.35102133
-15.59399937 -27.3215079
-15.61474105 -27.29010061
-15.63473556 -27.25678652
-15.65397533 -27.22155481
-15.67245496 -27.18439255
-15.69016691 -27.1452846
-15.70710685 -27.10422018
-15.7232683 -27.06118848
-15.7386437 -27.0161744
-15.76022002 -26.94490983
-15.78618329 -26.84283615
-15.80889332 -26.73261048
-15.82830153 -26.61412917
-15.84435717 -26.48729504
-15.85701164 -26.35200444
-15.86621529 -26.20815803
-15.87191736 -26.05565216
-15.87406927 -25.89439181
-15.87262135 -25.72427117
-15.86752393 -25.5451909
-15.85872626 -25.35705167
-15.84618084 -25.15975198
-15.82983691 -24.95319033
-15.80964482 -24.73726524
-15.78555488 -24.51187736
-15.75751744 -24.27692736
-15.72548391 -24.03231159
-15.68940354 -23.77793287
-15.64922774 -23.51368539
-15.60490576 -23.23947196
-15.55638794 -22.95519326
-15.50362568 -22.66074348
-15.44656933 -22.35602758
-15.38516921 -22.04093977
-15.31937457 -21.71538286
-15.28481417 -21.54864584
-15.21465878 -21.21508081
-15.07484194 -20.56318203
-14.93571721 -19.93131122
-14.79732993 -19.31912611
-14.65972438 -18.72628767
-14.52294483 -18.15245361
-14.38703446 -17.59728491
-14.25203755 -17.06044144
-14.11799836 -16.54158093
-13.98496116 -16.04036327
-13.85296915 -15.55644942
-13.72206874 -15.08949709
-13.59230098 -14.63916727
-13.46371228 -14.20511766
-13.33634585 -13.78701032
-13.21024594 -13.38450297
-13.08545575 -12.99725549
-12.96202062 -12.62492669
-12.83998483 -12.26717753
-12.71939156 -11.92366627
-12.600284 -11.59405335
-12.48270859 -11.27799755
-12.3667085 -10.97515823
-12.25232694 -10.68519582
-12.13960925 -10.40776911
-12.02859754 -10.14253799
-11.91933823 -9.889161257
-11.81187452 -9.647299347
-11.70625067 -9.416611057
-11.60250989 -9.196756274
-11.5006975 -8.987394339
-11.40085671 -8.788185139
-11.30303178 -8.598787476
-11.20726806 -8.418861235
-11.11360766 -8.24806576
-11.02209485 -8.086060935
-10.93277498 -7.932506103
-10.84569232 -7.78706034
-10.76088898 -7.649383798
-10.67841138 -7.519135553
-10.59830164 -7.395974948
-10.5206051 -7.279562137
-10.40868101 -7.116849007
-10.26830594 -6.920336441
-10.13837514 -6.744684594
-9.96383515 -6.514361525
-9.814781187 -6.315652781
-9.750182895 -6.225280711
-9.710895714 -6.167578946
-9.674683614 -6.111517296
-9.641589784 -6.056755106
-9.611657413 -6.002951718
-9.584931851 -5.949767018
-9.561457366 -5.89686008
-9.541278228 -5.843890516
-9.524436546 -5.790518213
-9.510978748 -5.736401972
-9.505531609 -5.708958754
-9.505531609 -1.213910888];
data4=[
13.3821 11.8244
13.38114071 11.86773205
13.37353325 11.95357132
13.35849571 12.03822422
13.3362112 12.12158394
13.30686665 12.20354652
13.27064514 12.28400612
13.2277317 12.36285591
13.17831039 12.43999195
13.12256718 12.51530838
13.06068516 12.58869934
12.99284935 12.66005898
12.91924381 12.72928333
12.84005451 12.7962656
12.75546551 12.86089993
12.66566181 12.92308235
12.57082653 12.98270607
12.47114563 13.03966713
12.36680317 13.09385777
12.25798321 13.14517498
12.14487171 13.19351101
12.02765274 13.2387619
11.90651035 13.2808218
11.78162956 13.31958485
11.65319538 13.35494614
11.52139091 13.38679981
11.38640308 13.41504002
11.24841404 13.43956184
11.10760975 13.46025944
10.96417522 13.47702789
10.81829453 13.48976135
10.67015171 13.49835491
10.51993179 13.50270176
10.44410038 13.50325012
10.37114811 13.50273323
10.22592545 13.49861813
10.0818119 13.49044323
9.939048767 13.47826576
9.797875404 13.46214199
9.658535004 13.44212914
9.521265984 13.41828346
9.386311531 13.39066315
9.253910065 13.35932541
9.124303818 13.32432556
8.997733116 13.28572178
8.87443924 13.24357128
8.754663467 13.19793034
8.638644218 13.14885712
8.526625633 13.09640694
8.418845177 13.04063797
8.366621017 13.01152611
8.315675735 12.98168373
8.218079567 12.92009544
8.126291275 12.85608482
8.040411949 12.78978825
7.960540295 12.72134495
7.886776447 12.65089226
7.819220066 12.5785656
7.75797081 12.50450611
7.703128338 12.42884827
7.654792786 12.3517313
7.613063335 12.27329254
7.5780406 12.19366932
7.549823284 12.11299992
7.528512001 12.03142071
7.514205933 11.94907093
7.507005215 11.86608696
7.506100178 11.82439995
7.507004738 11.78271294
7.514205933 11.69972897
7.528511524 11.61737919
7.549823284 11.53579998
7.578040123 11.45513058
7.613063335 11.37550735
7.654792786 11.2970686
7.703128338 11.21995163
7.75797081 11.14429379
7.819220066 11.0702343
7.886776447 10.99790764
7.960540295 10.92745495
8.040411949 10.85901165
8.126291275 10.79271507
8.218079567 10.72870445
8.315675735 10.66711617
8.366621017 10.63727379
8.418845177 10.60816193
8.526625633 10.55239296
8.638644218 10.49994278
8.754663467 10.45086956
8.87443924 10.40522861
8.997733116 10.36307812
9.124303818 10.32447433
9.253910065 10.28947449
9.386311531 10.25813675
9.521266937 10.23051643
9.658535004 10.20667076
9.797876358 10.18665791
9.939048767 10.17053413
10.0818119 10.15835667
10.22592545 10.15018177
10.37114811 10.14606667
10.44410038 10.14554977
10.51993084 10.14609814
10.67015076 10.15044498
10.81829357 10.15903854
10.96417522 10.171772
11.10760975 10.18854046
11.24841404 10.20923805
11.38640213 10.23375988
11.52139091 10.26200008
11.65319443 10.29385376
11.78162956 10.32921505
11.90651035 10.3679781
12.02765274 10.41003799
12.14487171 10.45528889
12.25798321 10.50362492
12.36680317 10.55494213
12.47114563 10.60913277
12.57082653 10.66609383
12.66566181 10.72571754
12.75546551 10.78789997
12.84005451 10.85253429
12.91924381 10.91951656
12.99284935 10.98874092
13.06068516 11.06010056
13.12256718 11.13349152
13.17831039 11.20880795
13.2277317 11.28594398
13.27064514 11.36479378
13.30686665 11.44525337
13.33621216 11.52721596
13.35849571 11.61057568
13.37353325 11.69522858
13.38114071 11.78106785
13.38210011 11.82439995];
data{
1}=data3(1:157,:);
data{
2}=data3(158:237,:);
data{
3}=data3(238:321,:);
data{
4}=data3(322:375,:);
data{
5}=data3(376:425,:);
data{
6}=data3(426:478,:);
data{
7}=data3(479:520,:);
data{
8}=data3(521:767,:);
data{
9}=data3(768:783,:);
data{
10}=data3(784:902,:);
data{
11}=data3(903:989,:);
data{
12}=data3(990:1084,:);
data{
13}=data3(1085:1195,:);
data{
14}=[];
data{
15}=data1(1:35,:);
data{
16}=data1(36:103,:);
data{
17}=data1(104:136,:);
data{
18}=[];
data{
19}=data2(1:54,:);
data{
20}=data2(55:162,:);
data{
21}=data2(163:215,:);
data{
22}=[];
data{
23}=data4(1:34,:);
data{
24}=data4(35:102,:);
data{
25}=data4(103:135,:);
zd=[];
for i=1:25
if mod(i,2)==0
dy=-0.1; %此处dy不要改为1
else
dy=0.1; %此处dy不要改为1
end
if length(data{
i})==0
continue;
end;
by=round(data{
i}(1,2),1);
ey=round(data{
i}(end,2),1);
x=[];
y=[];
y=by:dy:ey;
x=interp1(data{
i}(:,2),data{
i}(:,1),y,'linear');%Spline %linear
zd=[zd;[x',y']];
end
%还有部分数据为NaN
snan=find(isnan(zd(:,1))==1);
for i=1:length(snan)-1
zd(snan(i),1)=(zd(snan(i)-2,1)+zd(snan(i)+2,1))/2;
end
zd(snan(end),1)=zd(snan(end)-1,1);
zd(1829,1)=zd(1828,1);
zd(1934,1)=zd(1933,1);
zd(1935,1)=zd(1933,1);
zd(2076,1)=zd(2077,1);
%绘图
plot(data1(:,1),data1(:,2),'y-');
hold on
plot(data2(:,1),data2(:,2),'y-');
plot(data3(:,1),data3(:,2),'y-');
plot(data4(:,1),data4(:,2),'y-');
plot(zd(:,1),zd(:,2),'b.');
maxy=max(zd(:,2));
miny=min(zd(:,2));
%以下找水平线与图形出的交点，1,2连线，3,4连线.....
dy=1; %此处dy可为0.1
dty=miny+dy;
while dty<maxy
dty=dty+dy;
lk=find(abs(zd(:,2)-dty)<0.0000001);
lka=sortrows(zd(lk,:),1);
if length(lk)==2
plot([lka(1,1)+dy,lka(2,1)-dy],[lka(1,2),lka(2,2)],'g-');
end
if length(lk)==4
plot([lka(1,1)+dy,lka(2,1)-dy],[lka(1,2),lka(2,2)],'g-');
plot([lka(3,1)+dy,lka(4,1)-dy],[lka(3,2),lka(4,2)],'g-');
end
if length(lk)==6
plot([lka(1,1)+dy,lka(2,1)-dy],[lka(1,2),lka(2,2)],'g-');
plot([lka(3,1)+dy,lka(4,1)-dy],[lka(3,2),lka(4,2)],'g-');
plot([lka(5,1)+dy,lka(6,1)-dy],[lka(5,2),lka(6,2)],'g-');
end
if length(lk)==8
plot([lka(1,1)+dy,lka(2,1)-dy],[lka(1,2),lka(2,2)],'g-');
plot([lka(3,1)+dy,lka(4,1)-dy],[lka(3,2),lka(4,2)],'g-');
plot([lka(5,1)+dy,lka(6,1)-dy],[lka(5,2),lka(6,2)],'g-');
plot([lka(7,1)+dy,lka(8,1)-dy],[lka(7,2),lka(8,2)],'g-');
end
end
运行结果：
