import numpy as np

### Daten zu Aufgabe 1

x1a = np.array([-2.3377517312335883, 3.8715078700030396, 2.090913812011518,
 3.029721587276086, 1.3229594049289828, 3.6249631560221047, 1.5917250575746849,
 0.31875618151491913, -1.84454677685593, -0.6560732302302794, 1.7339180376514651,
 1.623004429965249, -3.8492775313785565, 3.9628777517344744, 2.0900400979337865,
 4.931899800521421, -2.759120953641625, 0.04427968312784536, -2.935483160239417,
 1.4285555581029268, -1.460791601213983, -0.4905139007223358, -3.6695942639641457,
 4.659183571701043, -3.2602015435732734, -2.569795912288079, 2.213643813720447,
 -1.9131124829270862, 3.8158533513689346, 3.5070523549066497, 1.5027358041338506,
 1.3246385827903424, -1.627897073898792, -3.6589956639774335, 1.6971815033732138,
 -2.345417978592991, -1.9642463767767113, 2.7831945502768276, -4.872382273587954,
 -4.823008177472364, 1.9707496687232728, -3.02974936535352, -0.5735326376631535,
 2.4773651336431346, -2.145553734608243, -2.2091018834207885, -0.2436179159439078,
 2.0723551278176444, -2.805245248147945, -1.8491561176618165, 4.925242483059071,
 0.049354397284351315, -1.3604472212539163, -0.01827203938950106, -3.281023422579729,
 -1.5223742160564155, 2.711275546074382, -4.195794065772573, 1.4182641284275128,
 0.21559427587312818, -4.862699878648779, 2.0048683813948367, -1.2886085959577298,
 -1.1257773163293439, -1.5095172898352214, -3.026494075881084, 4.459994467555591,
 4.454694676231615, 0.9225111181286465, -0.9106855633047575, 4.91423513996962,
 -1.5986626157552521, -3.649027000570965, 0.5036315966885443, 2.161555647943797,
 3.559865419963854, 3.8264040353990474, -1.5798504497317412, 4.987640542876905,
 -4.772292814369901, -1.7863700416838615, 2.6117373905452883, -0.802238789659345,
 -0.1771247716047677, -1.2748551410337439, -1.3399983203334376, -4.105714209756307,
 -2.155243855795387, 1.1142086783732674, 4.883369853589857, -3.402166790921598,
 4.649703552623631, 4.30113632655819, -4.787086626882145, 1.1120110159796521,
 1.3737907626080261, 0.2553091409816055, -0.8622421404188056, -2.0330069622458167,
 -2.2832690395258357, -4.8405282574389785, -1.5828993948031056, 3.6476765644862716,
 4.063582910399006, -1.0849123298710692, 2.8195655826730617, 0.9730755734700391,
 -0.5334406713295241, -1.4241249655910524, -3.5216868895381257, -1.1503386256449155,
 1.398216122970089, -1.5983231081516482, 2.2210232529725404, 2.6985754611328394,
 0.7413094240617459, -0.7173119616923582, 3.9153520890498648, -0.391866504769963,
 0.19143304016507745, -1.2361276785526973, -4.109982030614435, -4.057274033847755,
 4.776818655543629, 4.2068067661709065, 3.8756925848256447, 1.016452245077054,
 -0.5187730469619023, -3.6225784000119465, -1.947080443276925, 1.044428290794861,
 -1.4959408798751883, 4.21013530617696, -2.1954487894570285, -0.5977775242284897,
 -0.31314876292073457, 3.189047529843908, 1.74924850655864, 3.65026152666832,
 0.2769834488348497, -3.9511748709005423, 2.4137707207725265, 0.7043276974601795,
 0.8269390337546803, 0.3561678849926144, -3.3737798911261487, 1.6114051409555703,
 -4.38689832655337, 3.3920970666946815, -0.9433617530191967, -3.4276056473807994,
 4.877356210585507, 0.5346972492154212, -2.62744422059121, 1.3608807172117574,
 4.866691491317402, -0.27208519144012566, 3.251478146060828, -0.1014467050070369,
 0.09261916923681479, -3.4740417231441123, -1.7751449585637893, -3.9992993579455547,
 -2.101998430963529, 3.2190497906422486, 1.0781022520093408, -4.295459034025338,
 -0.4322414811307169, 3.7231480650182274, -3.9381169140513252, 2.7515014416578287,
 -3.5802179843534097, 0.7245646631763858, -3.8458643904471734, 4.55009954922858,
 -2.9252042034397463, 0.30904616800356166, -2.298509140198451, 1.6384733606394235,
 -4.6347144018405135, -4.0092053255482565, -3.0864262006975918, 1.5710076109610362,
 3.681744534855527, -2.7756911585068575, -0.882530406478601, 3.2803695368034553,
 0.24522926651325694, -3.1470098875823203, 1.0412666174882297, 3.394058622615862,
 3.482585216339725, -3.633541591067715, -3.8125268133281063, 0.40583746909215623,
 -4.888617926567644, 3.6896497155018917, 3.0468035107755593, -0.324985438694382,
 -2.576548933945647])

y1a = np.array([-28.81287281244675, -8.691642727775164, -21.315780165866247,
-15.761903968592126, 0.9243810384076188, -14.851600165380836, 2.155551807360979,
 15.503452557257544, -14.423045929219894, 17.553117934430453, -1.305312367800827,
 -0.23945699641903673, -19.49570018007165, 6.431162691231609, -7.159692958971986,
 87.27027205125067, -22.556655407939882, 19.524466295513008, -33.4141419152879,
 8.701761148378148, -2.0878575014643808, 16.520268026056826, -44.220852872134046,
 54.24774363185997, -31.280490734951364, -25.03398305056946, -20.58021959306552,
 -18.81355538321096, 6.027003727910444, -15.564637173120563, 0.4203997343876704,
 -6.639458607094726, 0.3619890901228757, -46.47245338301546, 11.227167091049758,
 -13.96915564510244, -25.280636069577586, -9.84950031332917, 52.63623073137285,
 28.88081399083072, -13.570037087825975, -45.42734947340777, 12.619628575965447,
 -24.663087518368958, -12.542701595316558, -11.636758692274313, 11.638985821142438,
 -11.737118016629898, -45.81962337131945, -27.372646177561613, 93.2344342877779,
 9.839743758032753, -13.363776947039044, 25.831196070915958, -45.251502643224626,
 2.734694821920346, -27.54389047027449, -14.122378895528419, 18.811972078943104,
 34.20699040101977, 54.59299269782235, -16.526589620984375, 2.049964748289458,
 -6.602226999310831, -9.873774977231989, -40.216126533987044, 18.482877981945553,
 32.800073923710926, 4.2872275844204495, -3.422076932368567, 81.76981966043387,
 -2.6338019626839255, -23.32629878097064, 12.619942830611752, -9.361069099131722,
 -8.532133786338338, -8.085499124716936, 7.9536911182111965, 97.4244538565878,
 32.24494543934123, -16.813215195911095, -25.287630384252473, -0.1486814600454771,
 19.120391666667317, 9.903000046163289, -2.5999638468497572, -18.697217299921654,
 -34.82261128385104, 21.866881416706743, 77.91114825967665, -26.691138308176466,
 56.592601170113426, 22.392894668530882, 36.017249212640415, 19.380274778237997,
 -2.2828046172362253, 29.91560763028044, 12.327840698298065, -24.49858376800256,
 -17.526388384365482, 51.746214092469444, -15.808665991936367, -24.19996782740751,
 10.679048321375731, 2.6117016192172535, -19.650706082469704, 17.43892491011883,
 25.66584079404159, 10.341910545290215, -51.800216154827744, -0.2857512456234037,
 11.245760231928257, -5.88603063673828, -9.428819849585693, -31.99357049897373,
 19.49732775737195, 25.710825109696138, -5.915071912641647, 17.769349599468352,
 21.700996586601736, -10.612679482614276, -18.68778892261841, -31.909552936514473,
 68.11607506573003, 11.141398462436522, -17.43633833046797, 6.059374854774861,
 7.627948860950111, -35.51317483374177, -8.198291981584003, -2.158325142450046,
 -0.5250046856580575, 19.712311431176296, -37.574265637303505, 15.34628433394427,
 17.820153212234928, -21.092448891445486, -3.187377906946363, -16.803680924672534,
 21.30623986612896, -33.038764270330994, -16.014224839771273, 8.702911756155618,
 16.296290013222364, 31.03004417379592, -43.622539056378365, -11.940250675039618,
 -13.378954202149362, -22.928781134500756, 20.258600819378074, -50.49385291728347,
 89.19042282992659, 29.694681441872437, -39.953182818584466, 0.3091814014087291,
 65.97799201110875, 3.9706322515501196, -8.359735307177992, 30.546235625585435,
 25.869359329834406, -35.94023693096514, -23.27978050720499, -35.268733840288256,
 -6.951887309708397, -20.833601209816788, 11.4138350329853, -8.719793747934334,
 10.862670958075155, -24.625882939848918, -24.91846857071317, -8.982390177197622,
 -42.26835868962718, 2.4169786918005194, -27.895826405089544, 29.90197170418039,
 -24.841727239585133, 22.255230021812814, -40.071526707461786, 8.540536411443423,
 25.320695855056442, -33.18029317702129, -44.82081605908488, -9.430940731940359,
 -11.474073440972962, -45.95968493472626, -4.169856330599769, -25.553636138282812,
 6.901670281471178, -46.07916875419071, 21.596060353624466, -5.284145174052689,
 -5.587697880914032, -49.074694788875114, -22.036638345026677, 6.940391937692372,
 65.31750290922153, -25.82574177146752, -21.63614660453392, 30.204848224269007,
 -26.426251794072385])

x1b = np.array([ 10.4082119, 2.13185783, 8.58671907, 7.46771425, 8.84729244,
-12.75894548, -8.95902589, -1.23371486, -13.18889779, 13.72213425,
-13.22673704, -13.27231193, 6.99920693, -4.934853, -0.45348821,
7.35035384, 1.89959129, -6.4322328, -2.58347528, -0.68954708,
-0.43183284, -1.40199678, 7.1955977, -0.29790684, -12.46379125,
-13.83866499, 4.05226533, -7.10862789, 9.03987524, 7.30631746,
-6.57577676, 3.96297574, 12.47457385, -10.98193112, -5.53342022,
-5.4621464, -9.05474028, -2.37299909, 11.55992233, 6.77785117,
-8.75790336, -5.71943124, 4.18265148, 13.14697947, 3.53328913,
-10.95061318, 6.97635193, -6.18836239, -13.97571727, -7.93518417,
-6.62490064, 2.28075381, -10.77278997, -0.91311063, 0.90996554,
2.94393366, 5.5243866, -14.43434172, 2.29225963, 14.34387851,
6.69872695, -8.63092483, 14.20052562, -3.7963507, 14.06657687,
0.1690351, 13.39958142, -2.65295025, -2.89837554, 9.43113698,
-10.61683308, -11.44973178, 4.28676399, 4.61776537, -1.24125633,
-12.99353504, -14.46282659, -10.78304917, -10.10869401, 1.24210053,
-9.63987549, -1.82178065, 5.38861316, 0.34153203, -12.32032531,
-14.1796667, -3.13423446, 6.80795439, -9.06501614, 1.94817617,
4.38709889, 8.43896512, 9.42919394, 14.79351585, 12.99162869,
14.90257224, 3.10134948, -0.33539629, -11.29979004, 5.69607706,
4.56171068, -13.3962025, 9.31265482, 14.03680299, 10.73261875,
-6.31371091, 9.32063055, 12.81259838, -3.86313335, -2.43140091,
10.84550132, -2.34620792, -11.00672749, -0.74022114, 2.3507514,
7.94908385, 6.64641048, -8.293592, -11.47694445, 6.07090066,
3.628203, -7.11070053, -3.64502301, 13.4282195, 4.60956506,
5.29095215, 7.39976869, -7.68917018, 2.70650708, -2.76872036,
10.47870348, -7.54702553, -2.94357141, 5.84614183, -4.62998112,
6.16880781, -10.92458374, 0.21887946, 12.30773321, -6.19495351,
8.61151594, -13.78112901, 8.05653293, -1.55234647, -14.2656713,
-7.87227053, 6.37299209, -3.13327727, 9.34798818, -14.77829242,
14.08803445, -11.01079233, -4.784517, -7.19511656, -12.29074905,
1.84785126, 0.83163574, -14.88841789, -7.29569446, -3.07387891,
-6.98236461, 2.27976862, -1.1046847, -4.38701096, -13.81918769,
2.55122489, -2.89006028, 0.611634, 7.41455758, -2.6164615,
5.70745104, -1.91136333, -8.04753804, -5.11690266, -8.54787944,
-2.5130289, 11.60855923, -6.24461591, -4.36589211, 12.07629045,
11.22031218, -14.02748339, 4.5394514, 10.48107671, 6.39265082,
14.79290431, 8.06095804, -10.65423607, -14.32851053, 7.07098943,
-2.68544394, -3.60222587, -5.86665106, -3.04865806, 5.14977441,
3.75626282, -14.2070081, -6.00886183, 11.85699492, 9.21472193,
14.95494986, 3.27258774, -8.70298692, -10.29192327, -2.95972594,
10.16947994, -3.74506955, -12.07008983, -14.75863114, -11.20805244,
-6.61064174, 5.65906692, 13.5077703, -3.39457398, -7.5073853,
11.26372461, 7.24271953, 6.82131634, -11.04625786, 1.40398709,
-1.58896392, -8.41152348, -8.90235459, -3.5994708, -3.65866763,
-12.53259827, 14.70798581, 7.32715703, 0.91113622, 10.93529796,
0.82618912, -6.19483913, 9.86007987, 8.02161732, 11.30825934,
-13.75692238, 3.50889375, -12.92683681, -9.19472075, -5.46958622,
-10.36279563, -8.18029851, -11.73305096, 11.04764593, -3.65243962,
3.9879115, -6.04260323, 6.56452684, -4.62588296, -11.88683351,
-5.38917023, -6.53756608, 4.8846326, -7.8074134, 4.52167728,
-3.54509599, -10.63365547, 6.19178594, 3.8133663, 3.38020591,
3.06613088, -0.31391636, -12.97931253, -1.54313576, -10.78533436,
-4.18782047, 0.19700035, 7.9332074, 9.23559251, 6.69890445,
-3.91954268, 10.42881964, -2.01182457, -11.31514316, -0.53309531,
-13.06651393, 13.48756243, 7.20529789, -5.04690412, -3.55630668,
10.5675572, 11.63366148, -6.89472886, -0.26045006, -1.21765136,
1.70165834, 1.0276153, 14.43425984, 6.45555915, 1.20351696,
-12.67501439, -2.13249052, 7.07493189, 12.08558998, 3.36360614,
7.36853353, 3.93819848, 2.88098261, -12.67764531, 7.63538088,
-0.89050987, 8.76781076, 14.2736641, 14.92029387, 10.79306022,
12.47322757, 8.79979783, -2.96805064, 12.26454713, 4.62252994,
-12.97293061, 6.31657207, -11.36545905, 10.42707441, -7.3158231,
1.52657009, -5.04919212, 12.1185492, 13.02491736, -1.25297166,
5.2645669, 6.00537072, -14.87828946, -6.89841588, 0.50175932,
-10.87924951, -11.60814045, -4.43257006, 1.13048519, -5.86301677,
-3.7869259, 0.1336948, 1.55699929, 8.4326041, 0.46527733,
14.80730142, -7.1791609, -9.25850007, 5.50004102, -3.97516624,
-7.60226845, 5.20343686, 2.87756858, -0.70835326, -10.84903071,
-3.68644538, 3.04975528, 3.46078359, -11.23099272, 12.54704739,
-5.3020272, -2.71565393, 13.91994647, -4.90087893, -14.35060394,
-4.04319674, 0.30716211, 0.05982931, -5.15262028, 1.93284172,
13.21242612, -14.44346141, -11.65547541, 4.09733542, -9.70153376,
-1.09976944, -0.64369542, -3.66786859, 14.92686057, -7.87396845,
-11.60236605, -10.61460194, -3.60298492, -8.38215064, -9.68006278,
-10.74830102, -6.32266629, -8.5562574, 5.29407624, -13.13199852,
4.02212569, -13.24183239, -0.63988497, 12.55797819, 0.95924636,
13.37727647, 12.53271069, 12.53109039, 7.04953813, -2.37239961,
-5.55945372, 9.52285099, -12.74698761, 3.60531284, -14.49323935,
-14.67502868, 14.88182287, -4.29148434, 11.96289277, -8.67096707,
-1.78196631, 4.69025328, -9.44844185, -5.86161027, 1.07229922,
6.57037552, -2.76232485, 4.6019849, 3.51270037, 6.68346532,
1.62507495, 1.01760117, -3.0234521, -5.92282923, 0.57960885,
-10.7359186, -6.75240393, -12.31066429, 13.35177549, 0.68759359,
-8.09027628, -13.98784384, 7.42066383, -6.95255135, 7.25124625,
-14.14954019, -11.93283062, 10.17865733, 11.8646452, -13.76207215,
-3.90242095, 9.6897999, -0.46621375, -0.40647437, 0.59069794,
-11.50381091, -2.93537316, -5.05938666, 12.2293485, -14.0505807,
6.36607019, -13.09945001, -4.26377802, -8.30154107, 10.78822266,
-5.29033075, 4.1416879, -0.96388359, 0.22546383, -14.80705964,
-0.05090793, 1.45867851, -10.53353401, -11.89229096, 7.77675583,
-10.37329042, -11.68800146, 3.26291207, -3.71801266, 13.95306917,
-9.33443395, 2.24143272, 2.0960618, 11.13674105, 4.78839402,
-1.47761906, 14.96159816, -13.84922528, 2.79249252, 13.0314464,
-3.29233076, 7.01877722, 3.21379433, 0.15951279, 3.82579355,
3.63525478, 8.5767231, -2.58425109, 6.34980156, 11.35687496,
14.64297169, 13.45012599, -9.35299729, 2.70711641, 0.37484049,
-1.18383726, 4.8496808, -7.6745633, -14.6996782, 9.32156208,
5.88333773, -10.8481176, -11.44627261, -8.46635159, 10.52705728,
-5.46248271, 5.55236189, 1.68828445, 7.69417009, 1.89923004])

y1b = np.array([ 1.36746769e+02, -2.52236758e+01, 4.41412327e+01, 1.94831015e+01,
1.05629790e+02, 5.79996518e+02, 1.32774010e+02, 3.96226753e+01,
6.88469482e+02, 9.29081721e+02, 7.75143886e+02, 7.60303089e+02,
4.15191769e+01, 1.12691598e+01, 2.00027018e+01, 2.13141043e+01,
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