Aus SDQ-Wiki
Zur Navigation springen Zur Suche springen

Ähnlichkeitsmaß/Distanzmaß für Verteilungsfunktion

  • R Paket für DTW (Dynamic Time Warp) http://dtw.r-forge.r-project.org/
    • Distanzwerte in alignment<-dtw(query,template,keep=TRUE);
      • distance: alignment$distance
      • normalizedDistance: alignment$normalizedDistance (0 ist maximale Ähnlichkeit!)

Example

library(dtw)

# test data:
# simulation time:
testtmpa <- c(2.4091387755102036,3.735209863945578,3.948852933673469,6.550112925170068,7.58168537414966,9.083768536433803,9.424487224091765,9.736785734224984,10.954984278017502,11.629491250806614,11.72087390386784,14.181778212350645,16.366718783969873,16.63714360164278,16.962133440078155,24.309420189037144,25.538810814489448,34.693466870664786,43.416086576525025,47.34122444545807,52.98907486267503,81.2861152309902,85.05494216309314,86.2987600860957,87.83377940461791,88.07211525818586,93.47182001390095,94.97391334551114,104.04375896075167,104.09042112424925,107.20509701635206,112.04074645055361,120.98244006744503,121.43304521686338,126.10250615510621,126.87794871129609,133.49389635720223,137.19751458173712,147.46015195502295,149.3533375193588,157.32285721720925,167.3166985576902,171.12136992096134,177.2937409258128,181.1254945938556,184.61281319480395,185.3646757412304,189.43123777665681,191.45741146894485,198.27032842930612,200.60810157060854,206.26849816196759,215.30122209962528,218.74926081983804,219.02462884214697,219.68991557965506,219.72359928595387,224.92122136351898,225.54230085710262,227.70400768972632,242.85156352138097,243.2530242038226,243.49924005805397,254.50274303241844,276.92720335975326,282.4435829498703,284.5828176312921,292.15454380944715,296.11726144012647,300.5078485055279,302.3088187820531,325.04282946570646,334.7751250015979,338.35769797337605,339.41273129879556,340.61140434492467,342.44109846334266,342.66365024793043,349.2012929009292,349.85370468722033,350.3420535888438,350.9583436326143,361.90983554321116,367.8696177822645,378.49200653364625,388.41915299122974,397.7415192402082,400.52782378771957,402.1610290143724,406.19676377568305,413.8663785637998,420.51533361408303,421.5743008763778,424.3528394503143,424.42417050252317,428.26192449477685,428.59912589078755,433.4852470198678,436.4155414394412,437.29977828024147,439.6893841714604,442.22785590751226,444.96740456768663,445.97542814884673,455.8904278853569,462.2064859341175,467.2693229968791,472.682975409358,476.39843181843077,477.2123040458117,480.739490756152,482.00374811021925,490.1047888897667,491.3587669333578,493.38446365220085,498.0984330599476,508.66418209096986,509.007646767261,516.8080255896812,517.7572203724468,520.2966935472562,525.5169515981514,526.0078615254931,528.6492242306501,532.2541651205217,532.7414601396173,534.9023529557643,541.8676105888582,544.4230061949849,555.5212239431239,557.5627734944874,558.1026253592622,560.9064600599824,563.0980361055333,568.0248835423488,568.0374257004798,570.3335896433209,574.1667048797834,574.2727156431392,575.4056843551804,590.6124141936896,596.7775509588297,599.8252365903422,599.8311154297928,617.3642885178408,618.649135890108,633.0543595829848,634.7691063685523,638.3150067397149,640.6060655332868,640.949307467042,642.420915495763,643.3469610883574,644.1065020808906,644.1680931750711,647.5499655071826,682.3029198354028,708.9682997636696,716.4809628397823,720.2243705422629,720.9485987693154,725.1593679137902,725.2445418040128,730.1076321897569,730.1938927070927,731.0748549174234,733.2257605173744,742.8069555833303,743.4013797451761,767.4453755715432,773.3940864047105,779.429187048392,779.6000805707155,782.5274639419952,787.8929618957807,789.3215200003827,799.0550970520519,800.6268837277028,819.0496224827874,824.356347570268,825.5744678653059,838.0005692157686,838.1179506573035,847.2039340275047,849.4317619979978,854.5127935201241,857.3685480274908,859.8072189576321,862.2018521187025,862.8614947771644,864.2213730024555,868.1274995550185,876.8346319303857,892.0187271748964,895.1542480864748,898.5278974150169,906.3759938820219,914.7839155281255,923.7930595967578,924.2451044584541,926.1851880462467,934.8578574853021,935.8797176490923,937.0847862126545,938.2534660371754,942.7369103989926,943.5474445308023,947.1186880946149,949.8823151469596,971.7155091142331,975.0940673681007,975.6341305176145,976.6632461121281,978.6419967436417,984.1276907842712,985.1500868830732,985.7040908196963,987.6744226840093,989.0864654969643,992.8627340806551,1001.385525383829,1003.8827607689204,1004.4396761372485,1014.4235320074617,1018.8875179945475,1020.2522335304319,1020.5693521409129,1022.2160892692473,1028.2326280107445,1029.301970751265,1035.2256205214196,1045.7885661483335,1046.7605540418908,1050.438288669589,1056.4057368967726,1056.6940978088357,1057.655986788299,1065.4920328853989,1068.3476121047995,1071.6786364341358,1077.2368876432258,1078.8085032948304,1084.0649165967193,1084.6861600263267,1086.5221598480841,1092.6585057822415,1103.0767078424415,1107.7274559939785,1115.7549841580028,1132.4668097097097,1143.3753096563817,1150.9570099901907,1154.009946849218,1155.9995401764966,1156.3076440611665,1158.8983393848648,1172.2313538548442,1194.9027696425933,1202.9984884883252,1203.901335997493,1204.5983415025119,1208.0971961240848,1209.6848846252467,1215.9340314964775,1221.1088909262337,1224.9282567380747,1241.8763744913545,1254.3313282009233,1261.9807415000269,1262.8044037335246,1264.0129918750933,1277.5730651211722,1281.4739518891295,1290.1016486094722,1291.6945499603469,1294.0652229227558,1296.8813045115335,1298.1000540500443,1299.6669204981665,1305.6680139645975,1307.7932742386215,1323.7263883972087,1325.837303418013,1327.069877314941,1329.2701602768138,1330.267580849338,1340.6608299338109,1341.2013286875376,1351.7365489369388,1359.4167652508174,1364.8062066752982,1365.468677558085,1367.4366845786233,1372.7589073832546,1373.3030249997971,1373.9284341202342,1374.7067049060697,1380.7131200802287,1389.5960178030562,1390.8490407566474,1398.5576360446255,1400.4625224744582,1411.0208155723099,1416.0946141556976,1417.101721749761,1420.9130485417531,1420.9789527607809,1423.065963898492,1423.9224488636305,1424.2166950640462,1425.932631555405,1427.5895355463751,1427.7546162904791,1429.3472712219132,1435.3012701871921,1437.9559450098336,1442.5145190171975,1446.0161697873295,1447.0386687342743,1464.2519522374703,1470.32423687721,1470.5777131558223,1470.7804386145763,1472.7432748997815,1475.9263409371854,1480.9803667317594,1481.2925603531105,1481.8344524828651,1482.4469341380513,1485.384798515613,1491.8499698428036,1492.862457699846,1496.6884188931574,1501.6231479571775,1510.8441301875716,1510.9701940300158,1512.7013776173808,1513.2775083173442,1514.1115114709528,1514.9074296179144,1516.4931058190018,1518.1256659959954,1518.213949359064,1519.011018937026,1525.0982879314292,1525.2842665864175,1530.8066586335426,1536.900910091573,1539.468705786294,1539.9285504012234,1540.963194550548,1546.251535248638,1547.6679264184497,1550.9434302217908,1551.7670909107503,1555.3719243617218,1557.5590950141532,1559.6738002498378,1566.0346270853156,1568.0418153814428,1587.0083623019018,1587.960813394745,1591.4064091844868,1592.9692328291299,1594.4840660021966,1598.523837197323,1600.7289920153605,1604.6826887401194,1606.7549288288526,1613.714510344025,1621.4669477052698,1622.1847683238482,1625.2767315863853,1632.7902862273293,1633.8873222670695,1634.247665839564,1635.9745944502179,1640.436453534076,1644.4689294187158,1646.3353825667393,1648.5820295081087,1655.900096848362,1658.4452129648107,1659.148263975669,1660.4784247222967,1664.1985186571796,1677.6260393675293,1680.9976928062454,1682.7851246908806,1682.805198028627,1689.2180778593465,1691.8127056269848,1692.780204063339,1693.0415850818492,1702.0749716781893,1707.8586754792611,1709.5540847752734,1709.7598942987086,1713.7428160219815,1718.2812866381553,1719.0469047307922,1722.7750734331432,1728.9395324301342,1729.2003373469267,1731.2850001143647,1737.0343255653563,1738.7384322593173,1743.83013675787,1745.6775121167968,1749.7150418507754,1751.1223433906455,1756.0641398428866,1758.3462036183969,1762.3447085632858,1773.8550712048973,1777.2005752752245,1780.4701050801311,1784.9692437144975,1788.7991492388487,1796.298106023921,1800.2830844799212,1807.1203050796857,1810.4446561423515,1812.9507203914295,1816.7243385028473,1817.5748611075198,1818.2321930859912,1821.9927222681065,1822.0244294469464,1823.604492034573,1826.0779797977045,1834.9093456277676,1838.3069730218365,1844.5955453233803,1848.4963636928144,1857.035945741292,1858.9999877358396,1860.0037214971694,1866.2918895109162,1866.8621019320785,1872.9447247683142,1881.3583030460672,1883.6367326051661,1883.9435770575867,1885.7361572608156,1891.3007213191754,1892.7591786768573,1904.627645042181,1905.3369347160587,1909.4209254553746,1919.354432999883,1919.4656978382604,1920.6614739760819,1933.898888337688,1945.3995792232888,1946.569085452284,1947.2362770767163,1948.42122518222,1951.087236104036,1952.4051769800053,1953.4400092410808,1968.9853406306486,1972.9210472010325,1984.7495299208822,2001.461776121535,2005.4135563972666,2010.8161645965622,2012.373190453389,2014.598275804308,2016.6050721818065,2017.575435620945,2020.1689715695006,2023.2682819389822,2027.9876897786135,2030.6525809155248,2038.840982982071,2038.9899220490263,2048.295159627565,2052.173775528975,2052.2294797642817,2055.4011259880763,2057.1621686004355,2066.3447025876285,2067.6613101419252,2070.538508721227,2070.707571291593,2072.3799652900743,2073.097650460161,2075.205379490755,2081.1000305665443,2082.10618804968,2102.485599014613,2106.355815034468,2107.9333191047435,2114.128989918616,2116.7632950219036,2118.3374320517796,2118.975654154533,2124.925728871828,2128.171356175816,2130.7177142411597,2131.6119209003077,2138.601375103167,2139.0053581558177,2155.966719393779,2162.379687427869,2166.069503667747,2166.6471600142627,2167.3857610018204,2168.282316552629,2168.7118902458406,2176.586595976918,2177.9509826565422,2179.295354254408,2199.5068357612176,2205.950879369433,2207.378407730692,2211.931257198933,2229.4120509387826,2231.4728964632077,2233.522570557082,2233.889203761223,2234.765016265298,2240.464143301408,2243.392178518996,2243.8190380693086,2245.152325081097,2245.4919133135854,2280.3143795671795,2284.8395626565075,2286.374812219805,2289.537350200002,2295.613357226574,2305.5086217064863,2305.5086392869207,2323.0008242556173,2325.6750721906324,2341.0347058240573,2344.863170364874,2354.583038860059,2355.716514999694,2361.481994172182,2362.062507378026,2366.5125166469575,2367.566611813194,2368.123876365052,2369.5197576495716,2370.0047928314875,2374.6528848512376,2385.527130544879,2386.5184141917584,2393.714210444103,2394.6319330350298,2395.3835929545785,2395.75505326406,2401.3737953839864,2402.9222089564014,2413.477335384554,2426.3642567772827,2426.4420283599648,2435.9069448850178,2447.56128267298,2453.8457210055835,2454.8854045739276,2464.1516117830874,2465.643801323558,2479.9855071723377,2480.31956991174,2492.2359675380867,2498.1082063211784,2499.7300424350406,2502.5495800619306,2507.4597221038935,2509.332062916137,2510.769683656456,2516.802202433614,2518.3072885297192,2525.4639150607145,2529.0071259043007,2539.4006603469634,2540.0363053334054,2541.537284744623,2542.124905304556,2545.726804865785,2547.324383962682,2556.206719255203,2559.5646560514115,2568.0984067697186,2569.3306315338673,2573.1124818965636,2576.617106293128,2584.0891332162146,2588.071896649513,2589.985239474423,2595.2609149298078,2596.561084022667,2597.076399284073,2603.3460803646576,2616.852026516864,2620.003498857243,2622.386358406666,2623.872003183886,2628.7546268168085,2631.91981693681,2640.87986299683,2641.0926600903636,2644.1179806728237,2647.4849023117763,2648.5787558188595,2651.9236092006295,2656.2965083754775,2656.6465298346266,2660.2419740392493,2661.2408663918823,2662.5749778898007,2683.1946309052228,2688.8370128581255,2697.7057999991252,2700.622656001237,2701.4064587978087,2715.7930825728477,2717.811671519925,2728.1464435599,2729.7961361644557,2730.185335840114,2734.0783100123167,2748.05532181989,2750.03158896007,2751.8525872076593,2759.687042018014,2760.341956282051,2763.6174239690813,2764.109873473349,2765.3251515677503,2767.932189717397,2771.3199512396072,2772.9456445224696,2777.8838940299215,2779.3226610117767,2779.925757973573,2782.043808604751,2784.0285998316504,2790.2830437541393,2791.782316818965,2793.930747335196,2794.7017403787295,2795.7942670337216,2796.4762301425103,2796.9177988539077,2803.1539372593143,2804.1104165506545,2805.103109369325,2808.6252862965493,2814.4155178453657,2814.4610847949143,2814.666482595206,2820.923740230152,2832.267759890836,2856.5196143329867,2859.246355510123,2860.4193959429754,2862.4256765695945,2862.7223274301746,2863.9496734741424,2876.1411202039085,2880.3019803557722,2882.070898151383,2884.6311479813157,2898.2400458119782,2903.3743877705174,2908.4741061922678,2910.6778009813506,2911.3967969096966,2916.1923553430993,2916.683182167465,2918.7246570327866,2928.508992799744,2938.6271525448174,2939.368286194388,2960.2314351498885,2984.146567964632,2985.076277526466,2997.350268077121,3004.200990420501,3013.490684840954,3013.51455645085,3017.215556708519,3023.5178785264425,3024.6117985667274,3028.8850756039215,3036.529650839245,3042.7259153863565,3050.5812633485566,3053.379194385972,3055.0810376823674,3066.255478349578,3066.6615623021157,3071.6359833585125,3072.2044341372075,3078.2669855164622,3080.2816232497353,3082.119232184162,3082.3709804385417,3084.2812126525846,3087.5580241629173,3109.167966332119,3117.606698883901,3125.4769795178627,3126.6979435940634,3129.222120927662,3134.8514007774124,3140.7529915807363,3149.181263531789,3154.606211163859,3157.293836213277,3164.4757747214053,3164.508641153735,3169.7107736184903,3174.622659915574,3174.6961340279922,3175.527431873136,3187.1422306092513,3199.2314377703824,3209.428486427257,3211.6589204535685,3212.248048139977,3213.843373396592,3217.5859814636856,3223.1369014889888,3230.21373129876,3230.2545528163373,3230.3707225594676,3232.485722498197,3240.5535784626622,3244.6800009172143,3255.9128288012985,3283.452218611801,3284.680803987395,3291.5799839624156,3294.080952765604,3296.2907596084133,3296.969453798865,3298.2311630861122,3301.8148563310715,3308.8505996046183,3316.3703492096133,3322.726593143909,3326.9904951777,3337.281011698883,3346.9222011012507,3358.2472764754552,3364.4627829775154,3366.9701676094805,3372.8083810602006,3374.496386399859,3374.6142924024666,3374.871794860628,3377.9993973101396,3383.136919432639,3390.165688931301,3390.556735314861,3396.585079317906,3397.4477076344147,3411.670413031461,3414.7689248257807,3417.6289325571665,3418.804653549299,3420.663789891869,3427.740430559091,3435.488100154694,3438.2649217529306,3438.4731521964795,3442.2400538245656,3442.9774352571103,3455.14410666667,3455.1748790875836,3457.9084791095042,3460.07874929154,3462.3451551785665,3469.3548144377214,3472.2655958239634,3476.5011262029143,3497.118109099762,3503.5753728825057,3504.8852749470643,3507.4499271761747,3514.9095689255532,3516.3909512302,3517.8340630205985,3520.0107256933807,3520.062394301208,3522.9322228287406,3524.329273887527,3525.5421121979293,3528.922460593944,3536.0266882346064,3549.1848721680067,3557.777153069757,3562.0615198129035,3577.326468973072,3582.2048109321913,3584.2884571692975,3584.5501619047827,3591.273718155538,3597.323827106356,3598.715635362193,3600.8827142081786,3601.58672709103,3609.2806262684444,3610.839374067603,3623.5885862770624,3626.662857288055,3631.3239504544863,3632.4461638439816,3636.048499144963,3660.7174723684298,3665.766973154761,3665.837998841443,3665.8860506030423,3666.094280134966,3666.5035173934793,3667.52741362843,3669.3279035078813,3670.4675562289704,3674.961238325976,3680.8587431986825,3682.831073706628,3683.9336649464117,3691.709561011242,3695.3866272754913,3696.3910620467764,3700.5866172789097,3703.114941767291,3708.591646380223,3709.6180561590763,3718.2608296179646,3718.8504384176326,3721.013484024498,3729.274756488717,3733.2850416321776,3750.1180909343775,3750.911410710843,3751.870860419438,3764.4262259310194,3791.921449268723,3802.637169941311,3817.920637019178,3829.558215989993,3834.3062659848047,3837.111951067035,3839.9222692676467,3848.572570086648,3852.9422862086517,3853.732984802752,3862.5714933032104,3863.819942343477,3864.362284883651,3864.932590777625,3871.912359883382,3876.4105845498107,3897.573761063239,3901.3020947893697,3904.896334031376,3908.219187658662,3908.5692113795913,3912.365593465537,3912.5958250241383,3917.6932140627905,3925.956991084797,3926.5263032783896,3942.2124286423136,3943.19319120685,3946.7791400955243,3958.408769456847,3958.619593102572,3965.8215355066886,3975.226478396485,3975.353114181613,3976.136129263961,3981.291031184023,3982.8435573655624,3984.963310775615,3987.6761470222723,4007.2903353195034,4008.412210295167,4009.9909657367275,4011.211201397642,4013.396769709166,4019.213057387123,4021.0472680886464,4022.1830596486443,4026.9572274312823,4027.3329827130497,4036.4756051876016,4038.799737591732,4038.8389334551025,4040.939592247024,4044.472392770973,4044.505479607725,4049.335223893707,4051.729580623939,4054.59602951968,4055.8908394688515,4059.7522787313746,4060.636318243248,4062.883685983398,4067.1283964488457,4067.91365917669,4069.0318186581176,4073.5814077741634,4077.885678535321,4082.9616123503424,4088.0260266809287,4103.408391240905,4111.279733340668,4111.548346984938,4112.419865814088,4113.727916930672,4114.843623927261,4115.206590218554,4116.355177241182,4117.770279590184,4119.467734468952,4121.584909045407,4124.748672103894,4126.316841531271,4129.206611816491,4131.7503579807235,4133.26436559625,4137.114602796588,4144.192660792506,4144.263844013888,4144.2772090225635,4146.117370747318,4148.430254512826,4148.725926481235,4152.5005800269255,4153.7144517852,4158.171154795631,4158.543890014134,4160.612706029584,4161.1813154895235,4162.128666905356,4165.774030347854,4166.894587032475,4170.369748837653,4170.719280703388,4171.577606732945,4182.887848275534,4192.880947273128,4194.6222029699775,4197.03876053415,4200.233869344517,4203.520489969662,4203.60933840526,4207.023684251362,4207.978502518674,4208.940993116418,4211.058151220214,4213.698853991594,4215.126994332227,4216.706945257783,4218.77870810982,4222.890353971612,4225.172439209984,4227.254536454802,4233.380422742598,4238.847140320061,4239.711537293063,4241.414983125165,4245.801880314979,4247.040482837716,4250.362689757395,4251.90444744148,4253.153493816502,4259.506793284027,4262.676418239903,4266.506147965633,4271.839793627918,4273.125886522333,4276.958373457155,4278.3620692695185,4279.318541073473)
# similar to a; but last values deviate:
testtmpb <- c(6.243788350340135,6.341125170068026,6.502772406462585,7.880092397108845,8.386400233772674,3.027649551799888,10.285771254676868,12.126825797193876,12.948880320153062,5.863425425170066,8.407439935870183,9.28228756561817,3.935668004150777,5.3646795950376,5.006771922239693,9.870134742879856,1.402080967045947,6.542482715943365,12.3572923548045,6.205462018183013,3.8351579910334124,1.5875471663538292,4.756927552058713,7.210897451856127,9.835502484953992,7.1192194490059535,6.325137709859419,2.4625050842586518,10.8635539364886,12.313454801147273,4.984939116059891,3.9013276242831125,8.42379094333532,4.046803187606585,5.717845090865609,6.947183648773432,6.030585436203694,10.122898707901044,8.385070574256304,2.1375895463064296,11.834442257988059,9.139453652545882,4.229598937074826,10.877319632750158,4.520269215250295,6.804491122613513,5.531833857746022,7.781930089512343,5.030878300836406,11.206180304910305,5.439803459146276,7.768645535662387,7.441714255084008,5.4267711207862135,3.829252682968871,3.547453751728767,10.930167922136633,4.374534821428568,12.075195671647975,7.637453320168419,4.1741404908146365,10.977579947356531,3.031609197870978,11.066941067487562,10.403427693469581,8.331763348475135,4.582032017333802,10.400562789448884,8.722258186179317,9.000072416115245,4.748426072279244,8.44743486284358,4.449722349609942,12.086333255189345,3.861176955782298,2.9069674319727596,11.836903331364908,9.240650091601196,2.121856509072245,11.421431221231387,8.84406273427345,5.030239864310033,10.723730033162155,10.118930841906376,10.717594549648425,8.70167640493753,10.69901147513059,9.939320625280004,1.6025056755846094,6.401457618509312,1.6789768541744365,4.577035774160549,12.38410721745953,6.711106264438513,8.086729845150614,7.140151526458965,2.4021877660968016,8.727306647456999,12.346161756450783,9.592874855353898,12.076234837039124,5.9465888593499585,10.126205032617293,8.10337226369137,8.97866743197278,8.012520620748319,4.475626526349004,9.96076896334148,6.49819203421788,8.199450528056161,12.212143367346982,3.622218774540329,2.156898167624263,3.0738734872572877,4.246412455850589,8.77142726154517,2.471958869646528,5.9827843758530435,4.525148393499194,7.618684175016256,4.499148143341699,10.081538825260395,10.396918455008176,3.0114774151707024,11.810946925997087,6.375399852167334,10.775057563228984,2.2514308195188732,10.408395442953633,5.831283616358633,3.462779539525286,9.842606717279637,3.3482394254391465,4.244759413721454,2.0172453016713234,8.205505482181138,10.393019754228021,7.66133077353561,6.868803357852698,9.57046415723596,6.082593384737038,8.487643887757486,4.012288957833221,8.955914757917412,12.197418321762484,9.190189343153406,6.4806596555192755,7.108459850041413,5.026527333392551,4.69138053907534,10.588777892130793,11.213176514075144,5.3832875626488885,10.701407140185324,1.3576232799368881,6.774817220695127,5.044870461600112,7.988050501144926,4.726562077232529,4.965945088196349,6.176120053771001,5.202926844415401,9.79162669976381,12.28464677787872,2.1838391218680044,11.714283889411831,9.160922479677424,11.69494614787402,8.383363530664155,7.800923808729976,5.865196378864766,3.20499185173594,2.382174377365004,3.525873249212964,5.255547022081714,4.606554787864411,1.9143245241858722,5.0144313598833605,2.7566480867346854,7.2545216646764175,6.646254432579326,8.909535717620088,11.60658506520349,10.876648889981311,2.5115760204081425,5.2092770877209205,2.754389710884311,9.84083009336348,10.116986892471914,6.2646554400146215,1.5854030278352411,1.214515222974569,5.429137880600933,7.382142307531808,7.643737162974048,1.7341380952381087,8.33001439228235,4.182224522995853,5.8644117818522545,10.841909057938665,5.479520999399938,5.6314234364366484,8.250863515466676,8.944256991899692,7.063211834609888,10.64704854044362,5.105450877308613,5.279266251240756,11.975338668374661,6.3645203561537755,8.658756751049282,6.208680819088613,4.288185759799603,7.962261899317923,9.838141235937087,9.755117971207596,6.934459555667786,6.482487765588189,11.716389296200418,5.7811574367711955,1.4921653811856004,7.996940096628123,9.065739490127953,4.879048574596368,3.739408340283944,11.210047092295554,5.34146249371463,6.974061010405194,8.509204399817918,3.5295596097887483,4.593718875061768,3.9525420593981835,8.935056836200602,9.636282729057712,1.4300620066792362,11.025008451732447,4.259548427005484,7.779555095679825,1.9641723639456359,7.710546776124829,8.91487065379306,8.706745601890589,7.887514707788114,5.164177202224664,8.179517393310107,10.242185074349436,8.423089864697886,10.530392058007465,8.23536591130437,7.014632652151022,5.721738415863683,8.720745746596776,6.2166695327694015,6.579302709058538,1.9045158807939515,3.8121716845782885,5.646450198138837,11.709838087707112,4.121675409650834,9.855177164700535,1.7523317219547607,6.555544599807035,5.041131440901381,3.3348143881964916,4.337449241261311,11.30707785550544,8.516930416081777,3.16721440109427,6.655035351774131,4.755995074958719,12.236769942156798,7.254165867516576,11.357624207483695,5.728890556255465,10.681266077972623,2.7339440867590383,7.317642287394392,10.34801918556991,10.410274604148299,2.4241355233280046,9.66905762131546,6.4788174073596565,7.662083735893248,6.057533092462336,4.872896420701409,11.316369616569318,4.595300697564426,10.733277850783224,10.84408962895236,12.176246736300527,8.525143445910544,1.3206347816289963,4.137248206720642,11.572609396394455,9.08460890088304,4.090678023664395,9.46007832791679,10.019705271829025,8.65752730915301,8.989913115750369,11.066227182786179,4.336711812685962,7.164023487781151,10.90953111133308,1.5100142905250777,8.792127133844588,3.016560506102678,9.403012258997705,2.9158963435377245,1.9231439089189735,5.963867112926437,2.5554209207375607,4.597571043933158,6.097388620099991,3.9668638958164593,11.67064943085279,9.90774249152605,8.219797806148335,5.402532493819081,6.1517994923895,9.706478880158784,9.752714363729865,3.1045389388514195,11.813311891637795,7.941189873097073,10.714079976011135,8.171879377498499,11.572187969257811,7.122195180674225,11.558146464375795,8.331149846652352,3.5446603177651923,11.268940784941151,5.378765251839468,4.894333627894412,3.5133738299473407,8.397035630557411,9.05053869055314,5.605338994249223,9.48342995549524,6.926803780229648,8.38622986949963,3.2510142906555757,9.52163928889172,10.148489850654187,2.9900494751227598,8.798882500752143,7.391728786588374,4.1781941831288805,6.802765934975241,11.953565337860937,4.251939519524058,10.942860856205925,7.826003593768746,5.831752763605664,7.800346353383247,9.75390978269047,6.813943474661755,11.948946347040192,9.58923833717472,8.221185618141135,5.0558529377492505,10.158820859710886,11.79061645480192,10.935764242909954,8.606977655639866,8.530612134371495,9.666792797397648,12.038564393911656,8.35851621474194,5.874924707774198,5.765482201054965,11.398323896414468,8.196171415982462,10.69043352534868,7.9903303025073456,3.191651924404141,11.304997459279775,4.075881654206569,8.31618460413415,11.252993386004846,10.78710262843083,5.783144716111565,10.637496984974177,10.244515425639065,3.077150341345714,9.383645892961795,11.64044102823027,7.395238127734956,3.92958136691459,5.421181707186861,6.1443096806467565,3.773846914064052,5.723978676819343,9.425967165765769,6.794071397451717,7.0938084145188895,6.697953310620278,11.335667426094005,4.0707429284948375,6.936951581170433,11.51624627778233,3.3604049690020474,6.633447569970258,9.488854430713218,3.061311582667031,8.748265033451844,11.576618342611482,5.137164304143653,2.2744701050512504,10.392878185735526,9.943324614567928,6.261872448979602,7.653840961442256,8.747081591481447,3.555421925988412,6.266625968562266,12.021678357835299,6.5415260885718,4.097062072660265,7.824187949728184,4.583774360785583,4.979341538896051,9.314190859495511,9.281718896659186,12.037601343939741,6.799535640498334,3.426390396840816,8.070270597215085,6.638727014127198,9.36804322907551,9.267423596938897,5.3370646286036845,3.6712215986394767,6.412599199383067,12.281666268162326,7.4924960908026605,11.844984793226104,7.930420817266395,8.59828223188947,10.032714099415898,7.22427620850749,7.932079734374383,8.911262147291609,2.5370633404945693,2.338323129251876,4.2815333270139035,10.966798810705768,8.135995348720598,8.519754340334885,1.797221288337596,6.019258588288494,9.844182945582816,6.671416879251865,11.47369808169492,2.2290951054289962,3.7626878394546566,12.307702817111021,3.600216378382129,2.387340947496341,4.484339789628166,10.507247249663124,11.395859798487209,9.323575378386067,9.246439899202642,3.8826985809812413,10.910626714757882,1.2945130976515884,11.920265488512314,5.5017614491146105,10.529658267232662,6.393206154298696,10.759435187743748,11.508429176419668,11.72273067494234,4.791640302794804,9.545624177740137,8.283668935826881,10.437605753416392,1.9751665857106673,2.0913359085393495,5.072359099866844,10.748169736955333,6.134649209643612,7.051106387153595,6.268106796846496,5.348992478406672,7.43805061454259,12.200329527154736,8.79628536665814,8.209262442437193,7.664380525300658,5.180576485413894,10.529152226932638,10.482435901205918,11.383787935226337,2.1625725685566977,11.65111775682044,7.642888396846502,8.330330479733675,3.637410899999395,5.947318265848935,4.94442847074788,8.356421717594003,7.166267706867075,7.154133683262899,5.186243578140875,6.418689989203813,7.781993296372093,7.7880908481324695,11.109342753062265,7.047197841885918,12.314755773043089,7.529984936381879,4.693920342598631,8.228033287795824,10.038142871845139,8.756221586692845,10.061184548005258,6.992781734512391,10.00256060448055,11.052740574514246,9.894503061751948,10.676867818468963,4.69920849730488,6.838960955180028,2.8965858266255964,3.947635236716451,4.968707690652536,8.131421379719086,8.417035334346565,6.335321023801498,7.252314046798801,6.957539665454988,6.855163842079492,7.467660603371314,1.8306232283111967,4.530491647596136,9.46177780939206,5.36821022373897,10.879348000161372,12.438460709235187,11.159691809563355,2.32401763538428,5.154603070987832,7.42440301257966,6.210117160468599,9.279014869174716,2.207852069727778,3.5720202330794564,4.854072047308819,9.3034860766561,6.681232424174141,11.619465367490193,10.68944837119443,5.189769272431022,11.77839377637747,9.250829085528494,7.740981805827232,3.3304380035328904,11.870408114667498,4.437170481445719,8.843255843998577,4.840842793817046,4.136183905476173,6.1941529191985865,9.695199161535129,8.433271724437873,3.6814343578321314,5.016038312770888,9.652398716838889,6.985673779318859,9.672442165293887,5.256651111117662,4.732989746056319,8.637293787242015,9.86684567554721,10.40579099167644,5.046737338348976,11.966458341338694,9.64503207027974,8.942111157821273,2.7692937055858238,10.93248096815114,5.830327165345352,1.8904087787650496,8.056352541967499,11.308658310282226,9.595704093016593,1.6381157496034575,8.086481577163795,5.560000456949638,12.220465289974982,10.051514106776722,6.637552006524402,9.970079372807959,10.636360409534063,6.080688054605162,1.576648557943372,9.57825264502253,9.552734062081527,7.093205395303812,5.200189380782831,10.620691245314447,7.779794740524267,9.073168443692339,10.261888017236743,5.196196474675617,4.2111732344733355,7.211258001107581,4.156504846875123,1.1282074436176117,5.927706352407313,6.510433656172154,10.320373740897594,7.163786427264313,9.149274956733734,4.998869962158096,9.108368233866713,2.2134885513214613,7.876728384665512,3.5278832302296905,3.818078614850492,11.530289395953332,7.751862005085968,11.51215454363819,7.7284690567989855,7.88615268529793,10.948298893527863,11.722097672596647,9.255383797620652,6.3300609831758265,3.199000597389386,9.327005870708035,10.575001466298545,12.049704336013292,10.441050344697942,7.919568946454547,10.84836243274367,4.210437879550227,9.655822901558167,5.944956076256403,5.231420447217715,10.04966385813077,9.354992130890878,1.6243912405075207,10.786887952324378,5.236383558532907,7.692944494495805,8.262715984132683,11.19207240014157,8.329138740674807,5.6595857336883455,9.93437641394803,10.779742732174782,10.017088082237478,9.574653596408098,3.530793671331139,7.064362501086634,9.31262694802217,5.163489752862915,7.818223326614316,7.442967753513585,5.30058711331003,9.97627228864485,12.211782846169626,7.535077893157904,1.9158989795923844,11.582152261797546,12.236353784030598,10.361214628349899,8.56377849248156,11.09478657676027,3.404668871838112,9.00907582523132,5.617555329030438,9.305771018686755,12.442439751960592,8.780461926611679,4.381181416628806,11.178874599598657,5.697408290207932,1.3967817397192448,6.173134707479676,4.608213289338437,6.072369346410596,7.572292355538593,2.9614341986948602,1.8879297969606341,6.614980706195183,7.052641849064912,7.293028515857259,4.2341582027920595,4.590901240036601,6.529818080882251,5.734690911021062,7.8118068723856595,5.237707355202019,7.0590274040037,7.319934176021434,1.4987119340285062,1.089305549380697,10.324647817425557,5.990415281212336,11.149299368837546,12.174940970474836,5.417505801039624,2.0057356143001925,7.399846877945038,11.360947894667333,9.725321625277047,7.695714601214149,1.3719615859231453,5.954447561250618,11.708600480634232,10.114335605599535,8.093087141113756,5.796738841333081,4.381774232896532,4.00603627863029,8.055167523166801,10.22423975656875,6.8296281431571515,8.726528407419664,10.379594365009325,4.60626773635704,7.127374137551669,5.542362988430796,10.347150700868951,4.880541479302792,2.760262174901527,9.415091961507642,4.959646043254452,11.163404621358495,3.16605979096812,1.8324758382846085,6.565167833573014,5.385434757306939,9.877431494742268,9.476765343554234,3.986915696789765,9.677114870048172,9.84471630996768,5.2861510931152225,7.230836989738691,5.339644243156727,9.26796841804935,4.804379680985676,3.7209002526228687,5.446187224297319,2.1853015842307286,5.216464016675673,11.142896917746839,5.932238696308104,8.299782933733695,12.294101664832851,11.609589762559153,4.283528268705595,3.3433283388972086,8.44692197333734,9.44462130399097,4.7772634741745605,2.6429606717692877,10.459844703269482,5.736177090062483,10.031184331468921,6.718541687148445,5.918850722789557,9.383266238387023,7.99346035847384,7.6295664330627915,4.332676880308554,11.228787739185464,11.105495830655855,8.394044792494697,4.740545595916501,7.670782800507368,8.459079487101917,6.934712749507526,6.0800763226038725,8.713473380405048,3.0442163323609748,9.862262227256906,5.245936904360406,7.1984461853799075,5.401634450942765,8.942438917328673,6.997573101184571,1.2503624471783041,12.191311441281869,1.7469139949835153,10.661434406708395,5.956957620870526,9.230610493508266,7.337510225866936,11.711836051531463,11.96827918878489,4.402951978680903,3.8637771181174685,7.084577315537899,5.191336649191726,7.778742343733484,10.898337968182659,3.8208659032547985,2.6490872874155684,9.119376682862367,8.179687947913862,8.69845561434704,4.998349268200855,7.116601306613575,1.4663789733363046,9.803139274099522,3.0698161769068975,1.5530831969549581,11.775532581815241,7.7738490557981095,9.987359756377828,2.808549648427288,5.449325981116544,5.174672334259867,5.039114672107189,10.29735019841155,2.449727085215727,9.753349484985392,8.386404827042952,10.835727717080772,7.943269181342657,7.48408343775418,3.9018116702827683,7.441107347117395,10.339340861557957,9.03505569273193,9.542934991929997,9.32462896249217,7.050536583974463,5.887717749753847,7.194624740736799,5.8233277210888446,8.98768537525575,2.8117790214673732,11.706167642642868,11.549717359843726,7.183835291291871,10.917814946335056,11.921050634767198,6.416321897364924,4.425795327614196,1.5789685829131486,4.81044213306177,10.236096812599953,4.717394605332629,10.916345692622144,8.814883945676229,9.776398107330806,2.0399824030464515,6.436647683786759,2.8041422694345783,4.124410871458167,9.00600300800079,6.351569989782547,9.183012724125092,6.000485599466174,10.629399496946462,3.5319008899241453,9.026966586160142,2.715238327165025,2.5933288565711337,11.1954696940129,9.533034568009498,8.609115183132872,7.8965512889153615,9.241457636506766,6.013341372498417,3.329996713469882,9.54143780544473,9.085804610259402,7.859889400140673,11.394095862725408,4.534574905268528,9.713371955545426,5.060903711041192,1.6903175170073155,7.161960339778489,9.960723473756389,6.772336139034451,8.407972266575598,4.675775332138073,5.294186207137955,8.526686514707762,9.270610195303107,11.309307204950983,1.2224976823204088,5.522983596187714,7.319908455167933,8.06500126000492,1.8955665734583818,5.3114323990621415,8.320172168716454,6.565486148325363,7.579902145123924,4.952357139606647,8.835973166829717,11.665342929099552,8.694923041056427,8.17030173555213,9.483762137802842,3.183593398172434,9.658721183643593,6.777693065906988,3.79336851094331,10.54447845337927,5.291467544380794,5.737828058168361,10.963857250308138,6.355878041093547,12.155203893531507,1.56,2.56,3.56,4.56,5.56,6.56,7.56,8.56,9.56,10.56,11.56,12.56,13.56,14.56,15.56,16.56,17.56,18.56,19.56,20.56,21.56,22.56,23.56,24.56,25.56,26.56,27.56,28.56,29.56,30.56,31.56,32.56,33.56,34.56,35.56,36.56,37.56,38.56,39.56,40.56,41.56,42.56,43.56,44.56,45.56,46.56,47.56,48.56,49.56,50.56,51.56,52.56,53.56,54.56,55.56,56.56,57.56,58.56,59.56,60.56,61.56,62.56,63.56,64.56,65.56,66.56,4.842924256996412)

# 1. execution of a simulation run
a <- c(6.243788350340135,6.341125170068026,6.502772406462585,7.880092397108845,8.386400233772674,3.027649551799888,10.285771254676868,12.126825797193876,12.948880320153062,5.863425425170066,8.407439935870183,9.28228756561817,3.935668004150777,5.3646795950376,5.006771922239693,9.870134742879856,1.402080967045947,6.542482715943365,12.3572923548045,6.205462018183013,3.8351579910334124,1.5875471663538292,4.756927552058713,7.210897451856127,9.835502484953992,7.1192194490059535,6.325137709859419,2.4625050842586518,10.8635539364886,12.313454801147273,4.984939116059891,3.9013276242831125,8.42379094333532,4.046803187606585,5.717845090865609,6.947183648773432,6.030585436203694,10.122898707901044,8.385070574256304,2.1375895463064296,11.834442257988059,9.139453652545882,4.229598937074826,10.877319632750158,4.520269215250295,6.804491122613513,5.531833857746022,7.781930089512343,5.030878300836406,11.206180304910305,5.439803459146276,7.768645535662387,7.441714255084008,5.4267711207862135,3.829252682968871,3.547453751728767,10.930167922136633,4.374534821428568,12.075195671647975,7.637453320168419,4.1741404908146365,10.977579947356531,3.031609197870978,11.066941067487562,10.403427693469581,8.331763348475135,4.582032017333802,10.400562789448884,8.722258186179317,9.000072416115245,4.748426072279244,8.44743486284358,4.449722349609942,12.086333255189345,3.861176955782298,2.9069674319727596,11.836903331364908,9.240650091601196,2.121856509072245,11.421431221231387,8.84406273427345,5.030239864310033,10.723730033162155,10.118930841906376,10.717594549648425,8.70167640493753,10.69901147513059,9.939320625280004,1.6025056755846094,6.401457618509312,1.6789768541744365,4.577035774160549,12.38410721745953,6.711106264438513,8.086729845150614,7.140151526458965,2.4021877660968016,8.727306647456999,12.346161756450783,9.592874855353898,12.076234837039124,5.9465888593499585,10.126205032617293,8.10337226369137,8.97866743197278,8.012520620748319,4.475626526349004,9.96076896334148,6.49819203421788,8.199450528056161,12.212143367346982,3.622218774540329,2.156898167624263,3.0738734872572877,4.246412455850589,8.77142726154517,2.471958869646528,5.9827843758530435,4.525148393499194,7.618684175016256,4.499148143341699,10.081538825260395,10.396918455008176,3.0114774151707024,11.810946925997087,6.375399852167334,10.775057563228984,2.2514308195188732,10.408395442953633,5.831283616358633,3.462779539525286,9.842606717279637,3.3482394254391465,4.244759413721454,2.0172453016713234,8.205505482181138,10.393019754228021,7.66133077353561,6.868803357852698,9.57046415723596,6.082593384737038,8.487643887757486,4.012288957833221,8.955914757917412,12.197418321762484,9.190189343153406,6.4806596555192755,7.108459850041413,5.026527333392551,4.69138053907534,10.588777892130793,11.213176514075144,5.3832875626488885,10.701407140185324,1.3576232799368881,6.774817220695127,5.044870461600112,7.988050501144926,4.726562077232529,4.965945088196349,6.176120053771001,5.202926844415401,9.79162669976381,12.28464677787872,2.1838391218680044,11.714283889411831,9.160922479677424,11.69494614787402,8.383363530664155,7.800923808729976,5.865196378864766,3.20499185173594,2.382174377365004,3.525873249212964,5.255547022081714,4.606554787864411,1.9143245241858722,5.0144313598833605,2.7566480867346854,7.2545216646764175,6.646254432579326,8.909535717620088,11.60658506520349,10.876648889981311,2.5115760204081425,5.2092770877209205,2.754389710884311,9.84083009336348,10.116986892471914,6.2646554400146215,1.5854030278352411,1.214515222974569,5.429137880600933,7.382142307531808,7.643737162974048,1.7341380952381087,8.33001439228235,4.182224522995853,5.8644117818522545,10.841909057938665,5.479520999399938,5.6314234364366484,8.250863515466676,8.944256991899692,7.063211834609888,10.64704854044362,5.105450877308613,5.279266251240756,11.975338668374661,6.3645203561537755,8.658756751049282,6.208680819088613,4.288185759799603,7.962261899317923,9.838141235937087,9.755117971207596,6.934459555667786,6.482487765588189,11.716389296200418,5.7811574367711955,1.4921653811856004,7.996940096628123,9.065739490127953,4.879048574596368,3.739408340283944,11.210047092295554,5.34146249371463,6.974061010405194,8.509204399817918,3.5295596097887483,4.593718875061768,3.9525420593981835,8.935056836200602,9.636282729057712,1.4300620066792362,11.025008451732447,4.259548427005484,7.779555095679825,1.9641723639456359,7.710546776124829,8.91487065379306,8.706745601890589,7.887514707788114,5.164177202224664,8.179517393310107,10.242185074349436,8.423089864697886,10.530392058007465,8.23536591130437,7.014632652151022,5.721738415863683,8.720745746596776,6.2166695327694015,6.579302709058538,1.9045158807939515,3.8121716845782885,5.646450198138837,11.709838087707112,4.121675409650834,9.855177164700535,1.7523317219547607,6.555544599807035,5.041131440901381,3.3348143881964916,4.337449241261311,11.30707785550544,8.516930416081777,3.16721440109427,6.655035351774131,4.755995074958719,12.236769942156798,7.254165867516576,11.357624207483695,5.728890556255465,10.681266077972623,2.7339440867590383,7.317642287394392,10.34801918556991,10.410274604148299,2.4241355233280046,9.66905762131546,6.4788174073596565,7.662083735893248,6.057533092462336,4.872896420701409,11.316369616569318,4.595300697564426,10.733277850783224,10.84408962895236,12.176246736300527,8.525143445910544,1.3206347816289963,4.137248206720642,11.572609396394455,9.08460890088304,4.090678023664395,9.46007832791679,10.019705271829025,8.65752730915301,8.989913115750369,11.066227182786179,4.336711812685962,7.164023487781151,10.90953111133308,1.5100142905250777,8.792127133844588,3.016560506102678,9.403012258997705,2.9158963435377245,1.9231439089189735,5.963867112926437,2.5554209207375607,4.597571043933158,6.097388620099991,3.9668638958164593,11.67064943085279,9.90774249152605,8.219797806148335,5.402532493819081,6.1517994923895,9.706478880158784,9.752714363729865,3.1045389388514195,11.813311891637795,7.941189873097073,10.714079976011135,8.171879377498499,11.572187969257811,7.122195180674225,11.558146464375795,8.331149846652352,3.5446603177651923,11.268940784941151,5.378765251839468,4.894333627894412,3.5133738299473407,8.397035630557411,9.05053869055314,5.605338994249223,9.48342995549524,6.926803780229648,8.38622986949963,3.2510142906555757,9.52163928889172,10.148489850654187,2.9900494751227598,8.798882500752143,7.391728786588374,4.1781941831288805,6.802765934975241,11.953565337860937,4.251939519524058,10.942860856205925,7.826003593768746,5.831752763605664,7.800346353383247,9.75390978269047,6.813943474661755,11.948946347040192,9.58923833717472,8.221185618141135,5.0558529377492505,10.158820859710886,11.79061645480192,10.935764242909954,8.606977655639866,8.530612134371495,9.666792797397648,12.038564393911656,8.35851621474194,5.874924707774198,5.765482201054965,11.398323896414468,8.196171415982462,10.69043352534868,7.9903303025073456,3.191651924404141,11.304997459279775,4.075881654206569,8.31618460413415,11.252993386004846,10.78710262843083,5.783144716111565,10.637496984974177,10.244515425639065,3.077150341345714,9.383645892961795,11.64044102823027,7.395238127734956,3.92958136691459,5.421181707186861,6.1443096806467565,3.773846914064052,5.723978676819343,9.425967165765769,6.794071397451717,7.0938084145188895,6.697953310620278,11.335667426094005,4.0707429284948375,6.936951581170433,11.51624627778233,3.3604049690020474,6.633447569970258,9.488854430713218,3.061311582667031,8.748265033451844,11.576618342611482,5.137164304143653,2.2744701050512504,10.392878185735526,9.943324614567928,6.261872448979602,7.653840961442256,8.747081591481447,3.555421925988412,6.266625968562266,12.021678357835299,6.5415260885718,4.097062072660265,7.824187949728184,4.583774360785583,4.979341538896051,9.314190859495511,9.281718896659186,12.037601343939741,6.799535640498334,3.426390396840816,8.070270597215085,6.638727014127198,9.36804322907551,9.267423596938897,5.3370646286036845,3.6712215986394767,6.412599199383067,12.281666268162326,7.4924960908026605,11.844984793226104,7.930420817266395,8.59828223188947,10.032714099415898,7.22427620850749,7.932079734374383,8.911262147291609,2.5370633404945693,2.338323129251876,4.2815333270139035,10.966798810705768,8.135995348720598,8.519754340334885,1.797221288337596,6.019258588288494,9.844182945582816,6.671416879251865,11.47369808169492,2.2290951054289962,3.7626878394546566,12.307702817111021,3.600216378382129,2.387340947496341,4.484339789628166,10.507247249663124,11.395859798487209,9.323575378386067,9.246439899202642,3.8826985809812413,10.910626714757882,1.2945130976515884,11.920265488512314,5.5017614491146105,10.529658267232662,6.393206154298696,10.759435187743748,11.508429176419668,11.72273067494234,4.791640302794804,9.545624177740137,8.283668935826881,10.437605753416392,1.9751665857106673,2.0913359085393495,5.072359099866844,10.748169736955333,6.134649209643612,7.051106387153595,6.268106796846496,5.348992478406672,7.43805061454259,12.200329527154736,8.79628536665814,8.209262442437193,7.664380525300658,5.180576485413894,10.529152226932638,10.482435901205918,11.383787935226337,2.1625725685566977,11.65111775682044,7.642888396846502,8.330330479733675,3.637410899999395,5.947318265848935,4.94442847074788,8.356421717594003,7.166267706867075,7.154133683262899,5.186243578140875,6.418689989203813,7.781993296372093,7.7880908481324695,11.109342753062265,7.047197841885918,12.314755773043089,7.529984936381879,4.693920342598631,8.228033287795824,10.038142871845139,8.756221586692845,10.061184548005258,6.992781734512391,10.00256060448055,11.052740574514246,9.894503061751948,10.676867818468963,4.69920849730488,6.838960955180028,2.8965858266255964,3.947635236716451,4.968707690652536,8.131421379719086,8.417035334346565,6.335321023801498,7.252314046798801,6.957539665454988,6.855163842079492,7.467660603371314,1.8306232283111967,4.530491647596136,9.46177780939206,5.36821022373897,10.879348000161372,12.438460709235187,11.159691809563355,2.32401763538428,5.154603070987832,7.42440301257966,6.210117160468599,9.279014869174716,2.207852069727778,3.5720202330794564,4.854072047308819,9.3034860766561,6.681232424174141,11.619465367490193,10.68944837119443,5.189769272431022,11.77839377637747,9.250829085528494,7.740981805827232,3.3304380035328904,11.870408114667498,4.437170481445719,8.843255843998577,4.840842793817046,4.136183905476173,6.1941529191985865,9.695199161535129,8.433271724437873,3.6814343578321314,5.016038312770888,9.652398716838889,6.985673779318859,9.672442165293887,5.256651111117662,4.732989746056319,8.637293787242015,9.86684567554721,10.40579099167644,5.046737338348976,11.966458341338694,9.64503207027974,8.942111157821273,2.7692937055858238,10.93248096815114,5.830327165345352,1.8904087787650496,8.056352541967499,11.308658310282226,9.595704093016593,1.6381157496034575,8.086481577163795,5.560000456949638,12.220465289974982,10.051514106776722,6.637552006524402,9.970079372807959,10.636360409534063,6.080688054605162,1.576648557943372,9.57825264502253,9.552734062081527,7.093205395303812,5.200189380782831,10.620691245314447,7.779794740524267,9.073168443692339,10.261888017236743,5.196196474675617,4.2111732344733355,7.211258001107581,4.156504846875123,1.1282074436176117,5.927706352407313,6.510433656172154,10.320373740897594,7.163786427264313,9.149274956733734,4.998869962158096,9.108368233866713,2.2134885513214613,7.876728384665512,3.5278832302296905,3.818078614850492,11.530289395953332,7.751862005085968,11.51215454363819,7.7284690567989855,7.88615268529793,10.948298893527863,11.722097672596647,9.255383797620652,6.3300609831758265,3.199000597389386,9.327005870708035,10.575001466298545,12.049704336013292,10.441050344697942,7.919568946454547,10.84836243274367,4.210437879550227,9.655822901558167,5.944956076256403,5.231420447217715,10.04966385813077,9.354992130890878,1.6243912405075207,10.786887952324378,5.236383558532907,7.692944494495805,8.262715984132683,11.19207240014157,8.329138740674807,5.6595857336883455,9.93437641394803,10.779742732174782,10.017088082237478,9.574653596408098,3.530793671331139,7.064362501086634,9.31262694802217,5.163489752862915,7.818223326614316,7.442967753513585,5.30058711331003,9.97627228864485,12.211782846169626,7.535077893157904,1.9158989795923844,11.582152261797546,12.236353784030598,10.361214628349899,8.56377849248156,11.09478657676027,3.404668871838112,9.00907582523132,5.617555329030438,9.305771018686755,12.442439751960592,8.780461926611679,4.381181416628806,11.178874599598657,5.697408290207932,1.3967817397192448,6.173134707479676,4.608213289338437,6.072369346410596,7.572292355538593,2.9614341986948602,1.8879297969606341,6.614980706195183,7.052641849064912,7.293028515857259,4.2341582027920595,4.590901240036601,6.529818080882251,5.734690911021062,7.8118068723856595,5.237707355202019,7.0590274040037,7.319934176021434,1.4987119340285062,1.089305549380697,10.324647817425557,5.990415281212336,11.149299368837546,12.174940970474836,5.417505801039624,2.0057356143001925,7.399846877945038,11.360947894667333,9.725321625277047,7.695714601214149,1.3719615859231453,5.954447561250618,11.708600480634232,10.114335605599535,8.093087141113756,5.796738841333081,4.381774232896532,4.00603627863029,8.055167523166801,10.22423975656875,6.8296281431571515,8.726528407419664,10.379594365009325,4.60626773635704,7.127374137551669,5.542362988430796,10.347150700868951,4.880541479302792,2.760262174901527,9.415091961507642,4.959646043254452,11.163404621358495,3.16605979096812,1.8324758382846085,6.565167833573014,5.385434757306939,9.877431494742268,9.476765343554234,3.986915696789765,9.677114870048172,9.84471630996768,5.2861510931152225,7.230836989738691,5.339644243156727,9.26796841804935,4.804379680985676,3.7209002526228687,5.446187224297319,2.1853015842307286,5.216464016675673,11.142896917746839,5.932238696308104,8.299782933733695,12.294101664832851,11.609589762559153,4.283528268705595,3.3433283388972086,8.44692197333734,9.44462130399097,4.7772634741745605,2.6429606717692877,10.459844703269482,5.736177090062483,10.031184331468921,6.718541687148445,5.918850722789557,9.383266238387023,7.99346035847384,7.6295664330627915,4.332676880308554,11.228787739185464,11.105495830655855,8.394044792494697,4.740545595916501,7.670782800507368,8.459079487101917,6.934712749507526,6.0800763226038725,8.713473380405048,3.0442163323609748,9.862262227256906,5.245936904360406,7.1984461853799075,5.401634450942765,8.942438917328673,6.997573101184571,1.2503624471783041,12.191311441281869,1.7469139949835153,10.661434406708395,5.956957620870526,9.230610493508266,7.337510225866936,11.711836051531463,11.96827918878489,4.402951978680903,3.8637771181174685,7.084577315537899,5.191336649191726,7.778742343733484,10.898337968182659,3.8208659032547985,2.6490872874155684,9.119376682862367,8.179687947913862,8.69845561434704,4.998349268200855,7.116601306613575,1.4663789733363046,9.803139274099522,3.0698161769068975,1.5530831969549581,11.775532581815241,7.7738490557981095,9.987359756377828,2.808549648427288,5.449325981116544,5.174672334259867,5.039114672107189,10.29735019841155,2.449727085215727,9.753349484985392,8.386404827042952,10.835727717080772,7.943269181342657,7.48408343775418,3.9018116702827683,7.441107347117395,10.339340861557957,9.03505569273193,9.542934991929997,9.32462896249217,7.050536583974463,5.887717749753847,7.194624740736799,5.8233277210888446,8.98768537525575,2.8117790214673732,11.706167642642868,11.549717359843726,7.183835291291871,10.917814946335056,11.921050634767198,6.416321897364924,4.425795327614196,1.5789685829131486,4.81044213306177,10.236096812599953,4.717394605332629,10.916345692622144,8.814883945676229,9.776398107330806,2.0399824030464515,6.436647683786759,2.8041422694345783,4.124410871458167,9.00600300800079,6.351569989782547,9.183012724125092,6.000485599466174,10.629399496946462,3.5319008899241453,9.026966586160142,2.715238327165025,2.5933288565711337,11.1954696940129,9.533034568009498,8.609115183132872,7.8965512889153615,9.241457636506766,6.013341372498417,3.329996713469882,9.54143780544473,9.085804610259402,7.859889400140673,11.394095862725408,4.534574905268528,9.713371955545426,5.060903711041192,1.6903175170073155,7.161960339778489,9.960723473756389,6.772336139034451,8.407972266575598,4.675775332138073,5.294186207137955,8.526686514707762,9.270610195303107,11.309307204950983,1.2224976823204088,5.522983596187714,7.319908455167933,8.06500126000492,1.8955665734583818,5.3114323990621415,8.320172168716454,6.565486148325363,7.579902145123924,4.952357139606647,8.835973166829717,11.665342929099552,8.694923041056427,8.17030173555213,9.483762137802842,3.183593398172434,9.658721183643593,6.777693065906988,3.79336851094331,10.54447845337927,5.291467544380794,5.737828058168361,10.963857250308138,6.355878041093547,12.155203893531507,5.650495995210349,1.6659260694391378,7.765210655907595,3.918789373240088,11.504154339733304,6.633358519512512,5.800928194079461,11.596787807240617,4.894318089922308,4.499699192177559,8.137703936937669,2.1870206207486262,11.269937482691603,8.413358299292668,11.887372982498164,11.522713152808137,8.088203539246024,5.979694106138595,6.53281930653111,5.276324311087592,11.675173737154637,7.063935149442386,1.423533557337123,4.15775038876518,4.210074765440822,11.32676355038484,6.5798947589887575,10.899556850999033,7.410975427103949,9.112429086933844,3.789082617143322,2.9854030245232934,1.0844420865951179,6.1871506801653595,2.9803447332260475,9.474241145611813,6.2617836826948405,5.752232844538412,11.665617199742883,11.472113456187799,5.580616675913916,7.255760885688687,7.598533826902894,6.7136933012143345,9.444746524047332,9.30174642995189,6.777775081570326,7.288107860834316,5.488905209524091,7.640423742544954,8.161660394130195,8.955358437477116,6.339754800294031,5.005320165065314,4.247311612270096,5.127336974282116,1.4083933859328681,8.249434843702147,7.438582479529941,9.48420075085778,9.234518314975503,9.350649504428475,11.230419633014208,11.314920835594421,3.369490628931999,1.9522270065117482,4.842924256996412)
# 2. execution of a simulation run
b <- c(2.4091387755102036,3.735209863945578,3.948852933673469,6.550112925170068,7.58168537414966,9.083768536433803,9.424487224091765,9.736785734224984,10.954984278017502,11.629491250806614,11.72087390386784,4.915972223993762,6.942231559878108,6.900357867417796,10.412020514908086,10.1276419766865,11.154070378047042,10.384046681627641,5.331135034013599,3.9251378689330423,11.885016379262247,10.352409012594308,2.492995178317358,9.24148206698922,7.337532212569798,6.786000027195655,5.638040609283038,8.328360942362636,6.520909728096754,7.029808786214801,5.337892767038369,7.505869926929947,8.24116675456446,2.950495287807101,2.5802963286196245,9.109406224289458,7.005404143164768,3.5562296415678816,3.9890279797803885,11.57447194513125,7.969519697850444,9.993841340480941,3.6606572566724083,3.7548797289941547,8.991844242492647,7.319072268991135,12.36944021268522,7.140874698884403,2.0261736922880402,10.572547399477997,5.577219259070574,4.854402763605435,8.187723937657722,4.883262598352729,6.129381515141176,11.471520173821602,8.257377224811137,5.231305783863917,6.51767201495565,6.716782564831419,10.668040785747252,3.145014741798974,8.51454725533452,9.766698528244035,7.69612403350277,7.335851779140455,12.18128195727428,5.95552324157768,2.61807920840846,4.390587065401405,2.7397393214509975,1.9532344063690061,10.737646990177609,11.773597436769364,7.681548250123342,1.821871256395184,2.7005079931972773,10.115857892563099,8.589888556004553,7.412606223877674,7.6784033409133485,4.503578968464524,2.937198953865959,8.44031179050421,4.397302364176085,9.725270569846487,5.320015896491043,10.298982866426798,11.978713264586418,8.455244535474833,10.492273690195134,2.539984991306426,6.6881374856224625,6.373245757483858,10.930180447876637,1.0905752428143387,4.1749553882643795,11.30732262918167,2.9302944195733858,6.5997395021393,11.427459676683554,5.812314468071065,11.746694900086538,6.286043977386328,10.9230233176703,7.150768169815706,3.6147776687382134,7.344298690803669,4.879113863544774,10.054340052624696,8.529465500771096,8.317677147022891,8.708465735333107,8.206575613730877,4.503712937924206,4.713969407746731,10.565749031022278,5.106613079691499,10.12209460722687,9.871030944713084,2.638056854287697,5.220258050895268,4.63233003480525,3.1322726324987116,8.772572334301685,6.733598614124162,8.705579139569295,9.126150449240868,5.630821062513519,7.7576955321605965,5.654207828610424,7.191971196629652,5.754696152787801,4.320650808327741,10.462110047861415,4.939389594946533,6.441306838631249,3.833115236462504,5.726584631310288,8.337449934668712,2.632028718734773,6.270706294841034,3.047685631512536,8.469628500778299,11.804801881735557,11.551650703679456,7.33899844226255,4.73850760966036,9.718795077765435,8.653724812322594,4.843934428709531,4.604276625233069,5.031954348642444,9.337395712338207,10.077067897352435,4.2030044188252305,4.922227770162976,5.611531450515145,12.336758373067937,11.256070778593312,4.539402677797511,11.226090153704376,7.740068670493088,8.538379192189723,5.343278814412088,5.830313113410625,11.83265051517401,2.8261825626210566,10.17561922780169,4.272396312129558,4.511973888731404,4.858794964510253,9.78957658525178,12.247781038388325,6.336568812827522,6.243204268419277,11.162135156271233,6.240114158126744,6.531999243837845,3.6692931066194205,6.651592346736379,8.417001150620877,4.250451344162229,1.1127221107034302,5.600903812369779,1.9889683574093624,1.4668572533790893,10.375456959634334,5.155538463462108,4.554449499220254,2.902729448861578,6.795125323193815,9.920306170417689,11.473536914495867,8.699008067490581,7.214778115923082,10.157372974780856,1.1116618197278285,5.404397758732443,5.821050700954061,5.126304897813611,10.942841461090552,9.15076005409469,7.615427927344967,8.633301669112143,5.652124186338028,4.5744939428414,9.447151474107955,3.542563222789113,6.114653257891746,10.671839323646282,11.392752759020482,5.949669431556231,6.926487629408598,7.464444672143031,6.0081186737206735,5.249457472174072,4.648904377698614,1.1196429051394716,3.5966162318563875,7.690444112653154,3.933713265306096,5.788433375850332,8.800196083161381,2.560076658163325,1.7909979591836418,12.128662327547886,1.9638557388153686,6.016538741497243,8.732618610352006,5.492313716283434,10.562945626913915,12.121384071611828,3.778643551753703,12.23871614399286,5.232724740844333,7.883735647546018,7.836046097099825,8.661815082181647,2.613089043880109,7.137871334884039,5.701361748894669,1.10165857673951,4.628903414828756,2.946312933740046,11.335191862961437,10.418202060199974,10.366748918851727,6.193074642593274,6.416791882776579,10.973421273051827,7.832673196709038,8.160087934628109,2.9860976989052688,4.4223882416745255,9.560701587952053,9.102767401864412,8.393149664599378,2.878327243341573,6.398405209727116,11.946067731241328,6.417240193925863,11.204056115886942,7.4967538048988445,11.424006300987003,8.994225241597178,7.18329300219898,3.885403574736074,4.874524447850945,6.437322463299324,4.677554892069111,1.1139951530612962,11.757362134534787,4.1795433120630605,7.574410062825109,4.087870629463168,5.186754551186596,11.259439582723644,9.307234799673097,11.602791041841783,9.693220188577243,9.031851893697421,6.391823882245944,12.147724956403863,6.783681540338648,10.045251340469349,4.2022345663267515,7.747896413447961,8.093597663786113,6.62259511547154,4.432118638668953,6.051912307267457,9.036538965430736,7.76659103290126,11.548268190106455,9.122227444936016,6.354784124339858,11.441731525287423,3.672389997890832,6.411234103395373,3.213083533234112,9.613481717810828,5.760239020321933,6.145117556648074,5.842999547262934,3.482856373379718,7.57438437670794,2.684126110719717,6.567676314087748,10.324856082882434,8.87280058668739,5.642332058533384,4.688652391987034,8.368318461132276,5.567555439348553,2.803003950272796,4.558574007363859,9.81941522440502,11.431302633664245,8.075324928349573,8.010234914659577,10.978410631973702,7.266772989901483,12.005851474576502,5.602104059975318,10.402653575937165,7.857677925880125,1.6031859361228271,2.4209410518010372,4.626984505553764,4.901769980934205,9.69797456720903,7.450525752815565,10.810681371502142,9.660559548367019,5.545644932237565,1.4571297907307326,7.9825598780169,12.062034375205712,11.003183383059877,4.766396813427718,11.19684670395145,12.166866521475868,5.733510619681738,10.19085831351481,6.890777283491161,5.522392047125095,6.094251458030385,3.704080337474352,4.940983752013835,8.143076934097735,6.782829462343898,10.767016326876728,9.98023567124278,10.74295205168869,9.120389113083775,5.79200410340286,5.278096931463551,2.101682376026247,1.3046452129017325,5.32619944143903,2.1797353128936265,2.9106654480995076,6.638618517381474,10.101137722203475,4.039771195126377,9.322582830873671,1.1388619897959416,2.533797991412939,7.039576637188475,3.310603619347148,8.817709055216255,3.809783881115436,9.348318935464476,10.316437115626059,8.175595988728901,5.572273352126558,10.682132435985295,5.203229294829725,12.087716727175348,1.3176563715430802,11.883614438070481,12.10983039807138,10.901238435728828,6.743835642487511,5.050254681510751,8.946559363253527,5.399052439339357,9.851817524984426,7.410990696056842,5.058438888248247,5.247617245177253,3.68764395599419,9.327456423932745,8.194234560894756,3.495441068047967,11.170902063772928,9.081911345714843,8.027614310421313,10.422611158894142,10.394064800560045,10.279890876585569,8.508874867046188,4.904479799769433,10.435542012936821,8.094793135222062,5.765536878171588,6.795811192513611,6.939079857479555,5.16451823420698,7.29220663277556,7.668452293507471,2.2820637755103235,9.51826551068757,11.510362641611437,7.087353673860207,8.584925372444559,5.970355531355835,2.1026849120089537,11.328862309423585,9.013813625409966,2.6910180820302685,10.161571662430333,9.210677652882168,10.786487262530045,9.597329457194519,10.759531762238112,2.8948348685594283,8.966711112783514,4.787660978794747,2.318264625850361,1.578655230740651,4.1862081239751205,10.732628614927762,10.136051894835191,9.779028447220526,4.781010251297403,5.247459393685176,6.7870466803367435,5.003783589392015,6.65283525739801,2.4358585884353943,8.453559228143376,11.499026665879455,10.549527147705703,5.564564058359792,4.870505422722772,11.514129578742313,6.297887482232454,6.511480274673431,9.93350754450853,2.3470905612246042,9.656206728372354,8.271388556775491,7.3774446033689856,11.953660374163064,10.415911475593475,6.242988203489631,4.5181506517519665,3.057891264876389,9.007911985140936,7.036254223698734,8.510994472789207,7.662521755067928,10.577667181888955,6.644637952211042,11.094502613244913,6.959634056122468,9.874220201339995,11.549087200314489,2.977159816636913,9.352806972938424,10.343214443192664,11.382617596806995,6.090239698855612,10.047376719126532,6.731000909999011,3.5072915725663734,7.119700894323842,2.657151647490082,5.597573584341262,8.973645936921912,6.089494086707418,12.260184153848968,2.7612554108623044,4.511196981898138,4.390016926280168,8.98442623044457,2.825414200680825,10.561521845317202,11.398616758086973,2.7420745616286695,3.870216019854979,4.866167633716941,6.319177249217319,9.359891516261541,5.697673571807172,6.853120956562634,8.162433849924582,9.14734319187346,2.546358065343611,4.361197872004141,6.989454202859179,8.53300095492159,11.466095358245639,6.412968034090227,12.089788674801184,3.9138780257526378,5.006073573951198,9.575264151163992,7.624518125955092,9.301881708022847,11.303822642279556,8.331779770821413,7.7004023845297525,8.577206587251112,7.871571969474189,6.520034291072989,2.894522894855072,11.935467382439128,9.143740757987416,6.18501214009666,5.663621200653779,11.052092362625444,9.50297475777279,5.660111183651225,1.7601465621009993,6.131902085044658,6.342809676316392,4.235975616529686,7.399139640191152,9.22297063282258,8.197607000398875,10.660225301952778,4.6265285264153135,6.4146785907128105,7.9212290416858195,5.7433638849693125,3.82846454081664,4.554388828712945,6.1847258561174385,4.197407665141327,5.767756321289198,11.737580427557532,11.748125639486261,6.641882192870071,11.218987496146838,7.942285453461409,5.681735623323675,5.115578732971699,1.9781037840139106,8.187079899224045,1.6558577460186825,1.2663213065943637,10.532008556066558,5.990202429407873,5.021188010204696,2.8394211150725823,3.6157600268643364,3.2388563163322033,11.151739474960777,10.255349849702725,9.072710253169134,8.49313701174924,10.305890777503919,3.0492535579769537,10.236632006987747,7.541551765492841,3.5738577224565233,5.647769223598516,3.4796499383051014,9.192654847503945,4.870646251610651,7.138987063854984,3.3099615525625268,6.032518777158202,11.57049127821756,6.2500233370742535,3.6608161675585507,2.328744550292413,10.328137250281998,6.8421801411982415,2.0885999711504155,6.32614451882182,2.538998570939384,9.852983049228897,12.07881129777843,8.533750718307147,4.711528973005898,9.812947680488833,8.518699523409396,4.2399274999470435,9.648580151130318,7.936902274270778,10.59790681978302,4.50713032396834,8.618600939525095,10.684999072240771,7.118966138704309,5.7337781577471105,10.39361098432164,5.577176749623504,8.751127959565565,9.269155703581418,2.775944916482331,4.5253741888764125,4.766063164209299,4.801475778675922,7.413076543982243,3.344853381770008,4.372899174848044,10.930591274227027,11.131205745409261,9.443554141568711,8.512466650406623,7.491048715884062,4.747194646429762,8.700427551728808,7.2922968518969356,9.491133069404441,6.800431079932423,10.089621617122702,10.334772039975178,7.2737657786719865,2.607124404762544,12.305975710856274,9.246954201093104,8.139735025923528,2.988074764043631,10.018914661172857,3.370051547912226,3.275467687030414,3.0899647291444126,11.304564866054989,4.710758458783857,4.235350470446974,6.998213323194705,10.058086267711133,3.0914543469207274,11.48598419894688,6.384124206206252,9.608418962860469,10.427190857657479,6.016754458107698,7.162246981188673,4.10817466662229,2.5319184479235446,1.7744897637808208,9.476439833011227,3.652727054915431,5.253744961722987,6.13482610708661,8.090285931987182,6.957150368103612,9.357975425589302,10.556066044551699,11.510083069187203,4.893370643827893,9.424111153136437,9.910875882943401,11.713939669638421,5.353624381019472,3.7669495986087895,7.6341313925868235,7.524058886883267,4.160860151863744,2.579009131912244,2.5602498299326726,8.593879031468532,3.8344074276437823,8.028978299214032,4.756762603343304,12.359975159041824,8.56252318842553,7.172312994431195,10.250550840518827,8.621622878367361,9.662827626883882,12.085057147952284,8.831191075946208,11.71705167834034,11.851195081485457,12.273990550655071,6.850722343379857,3.0244644327767674,5.914920084389905,11.06759361380864,2.113804457398146,11.011483818700981,5.062010262484819,6.530799303001004,9.598063214355989,7.855347962200085,2.79793103741531,7.361959071253295,5.605887377761064,11.836127746024431,9.423205033312115,10.462063154854604,6.062551379254728,4.843581168853689,1.7597637226317602,6.686213706692797,2.4023468209270504,9.291038646455036,8.551226325433163,5.181634621309058,11.27561164054896,2.711841751701286,6.2008829776928,11.503915884564776,6.482498448261595,10.177037074830423,11.430634875162468,6.043389459785885,9.869563557546371,8.777945742920565,5.202132464755323,10.14688519416859,10.658082680899497,7.540866013187497,11.610516659610767,8.607494344942552,7.414062114113676,8.12403962548251,11.306193930930476,4.41488696933493,9.29491099144343,4.283511853227083,11.596859758473784,7.11765132734854,6.090342857505675,10.94822571364466,8.885393552429832,6.954570780039376,2.5536883535901325,4.559820547862728,1.517920642592344,10.637328382091255,8.354578747989763,4.710775645997728,11.635348069341944,5.453292326658811,8.127208173998497,7.035743273546814,10.144484248965455,8.666687012019338,8.513428772349926,7.275384311225025,9.641189402367672,11.325075374204516,2.7386826635306534,10.205122069791742,6.930494877302863,3.8692585356843665,6.209773430750829,4.203667825071989,9.001270274583476,5.5614455892582555,12.166291621161236,1.217267104876555,4.1822467000351935,1.5449821003408033,6.828143504607397,3.6565592309239037,11.807559645600122,10.436883658035185,8.993376860407807,8.736304232193561,9.95453917785835,9.350576239031398,10.73272163738875,5.427208207748663,6.069976544732981,2.255479549320171,3.9075787799229147,5.173942832097509,4.934642624870321,11.948295089367548,7.009659259154887,9.701742677869333,7.51615600036348,8.555620637092034,3.455366776444862,3.297421723937987,6.095761936309827,5.142937310105481,7.520819250991281,6.998537222721552,2.176662672782186,11.722011392276272,11.537439292633735,11.180266724734338,9.151160967729538,9.397552633277883,2.657495824344551,9.528626107790842,5.2920969272113325,3.006557860200701,11.45545692467067,5.413589806801156,10.509872889885173,1.0711500000006708,6.985260986240519,6.0501089508179575,10.507915544053503,1.370110606725575,8.545047887810597,9.950521484324327,9.956659859424235,11.69962166704454,8.655399889401906,4.387496591080435,4.786697305302823,7.954052568792122,5.6925666353390625,11.282408842997484,8.4828758294625,5.215612158316617,6.949744606565673,7.852454339787528,11.328012852692154,3.23362337291519,1.1396527210890781,6.713031130358104,6.001715555905321,7.869835380652148,3.0749217477291495,10.27347988324118,11.452962329079583,8.890392524479921,6.59924480554082,4.207733613098753,11.247131563196035,9.031438880166661,8.12228211149477,10.249931726876184,6.840852164697026,11.01392687075213,8.60224103479004,10.867578428712932,4.942669332191599,9.663901236958282,11.31970611700126,2.9552524809896568,9.690085034013919,9.3936891307917,11.927059975163047,9.767643847337695,10.202537846568703,5.920707942984791,7.753257018056956,4.369716122003865,7.734868376955092,8.737508500458262,10.877656134825429,1.5384696003407043,12.225522588907097,2.22722032269985,10.122692334226485,5.461086953986523,2.9328712904843997,11.030879742953857,8.630535748379316,10.995450316352162,3.7963820859458792,11.101682696430544,9.47402640412838,5.651364761618424,7.884801156176309,2.4425505102044553,6.39750564915812,11.57951106101018,8.265793575258613,8.901058017929245,10.923051748014132,9.40494288979653,10.900528982662308,2.7839378513431257,11.579072773711232,1.5525261815396334,8.82718151165409,9.829348094857778,2.625657400961245,11.820093783013817,12.15370139361039,7.066419058036445,2.1855683115240936,5.539867814626177,9.483149686036086,2.970002261521131,5.90995934263583,7.324940798174339,8.495929045841422,8.927778720869355,10.094604233884183,5.484896541233411,5.633459315870368,7.240745169634465,9.975179118222059,7.224101016213808,6.648203188295611,6.0717026596862524,10.281252573041911,10.066775102175598,9.957293252586169,4.13961567860315,6.746284156630736,6.148132674719363,2.407028960436037,8.853859877203377,5.075933815021472,4.792490425809774,11.07107887059692,2.3956830795787027,4.670546957226179,10.216573076865643,1.6334498538208209,4.542669854105952,3.9268568778861663,5.507403025681924,7.772908791211194,3.1125572277696847,10.615674459444563,5.787075480106978,9.04887977307044,3.977623338199919,6.173580194565147,11.679456550843497,5.130118121963278,10.319434323678252,4.337834127553833,4.331224405347712,4.705265050894013,3.3264742583178304,11.500067890700848,5.4818332600798385,9.450607771312207,7.0366299253319085,6.043309987208886,11.08237539426591,1.5060756669481634,4.592062195575636,7.1788094738940345,11.771467563894475,12.198594042021796,11.258670369896208,10.051715431073717,11.872219272206166,2.2223197278917723,9.016799568267743,4.9837332962551955,7.352922071389003,7.154119273240212,9.097726747008892,9.984923717212041,3.3782464410660396,5.420503146756346,5.638446240533995,11.394291456161227,3.2109854429645566,9.683261006421162,10.80020559114655,9.641266630876999,11.473585218390326,10.211132659735085,4.815570686182582,4.073708194134269,6.331114550464918,11.494845043281202,4.386897189813681,4.218519844066577,2.337379904042791,5.929869775030966,5.56471010583391,6.383754270436839,7.25142882694945,8.98508370613854,11.825494828373849,11.639563508244464,10.452225491521858,6.522275641600572,8.193838520874124)

# calculate
alignment<-dtw(a,b,keep=TRUE);

# normalized result:
alignment$normalizedDistance