Random Walk in 2 Dimensionen. Nach jedem Halt geht die Wanderung weiter in eine beliebige Richtung.

Schritte, die der Betrunkene macht: (max. 10000)   
Anzahl Wanderungen, die berechnet werden: (max. 100)   

Die Wanderung hat eine Länge von 1000 Schritten. Es werden insgesamt die Endpunkte von 2 Wanderungen berechnet.

Die erste Wanderung sah so aus:
x y Schritt
0 0 0
0.78979106456421 -0.61337596491428 1
0.3140085362864 0.26618698666199 2
1.306217672235 0.39077041469333 3
1.6892258712586 -0.53297452817821 4
2.4823464608289 -1.1420391638284 5
2.4236077081677 -2.1403125527033 6
2.3372857432187 -1.1440452600718 7
1.375689401892 -0.8695776365768 8
0.84316952253809 -1.7159951329064 9
0.75008847327118 -0.72033659793203 10
0.2854528055494 -1.6058385438817 11
-0.19450761607045 -0.72854840163775 12
0.57205923738825 -1.3707129126304 13
-0.42133726450487 -1.2559810947832 14
0.29746662552557 -1.9511939885626 15
0.68836643556478 -2.8716272227036 16
0.19639117747523 -2.0010180420561 17
-0.7292463869215 -1.6226067586915 18
-1.7101050250462 -1.4278855939039 19
-2.6614829540044 -1.7359116257438 20
-2.2659081431905 -0.81747786708212 21
-1.2666613599673 -0.85628335919467 22
-1.902613292864 -0.084554689878251 23
-1.6855027121304 0.89159232555206 24
-2.6854102668117 0.90518946095999 25
-2.2004836294642 0.030634627692851 26
-1.7675930081601 -0.87081182661651 27
-1.0012958140231 -1.513298099044 28
-0.63516422997177 -2.44386118834 29
0.36478396958195 -2.433682867787 30
-0.31290882018245 -1.6983377224971 31
0.41420041358626 -1.0118159368499 32
0.80597398350493 -0.091754270485506 33
-0.17229840228372 -0.29907802504194 34
-1.0239980512459 0.22495222976947 35
-0.02857012995588 0.12943650584798 36
-1.0193999428054 0.26455231531719 37
-0.03189361805737 0.10697294299146 38
-0.031439356341655 -0.89302695383168 39
-0.45918525756914 -1.7969259769438 40
0.35471402872567 -1.2159199943853 41
1.3544781707202 -1.2376377378657 42
1.2951024303636 -0.23940203350672 43
2.2665571152808 -0.47662723274221 44
3.2433898614616 -0.69063140557259 45
4.2422453828359 -0.64280204826858 46
4.5975623981058 -1.5775479060608 47
4.9253438445949 -0.63279432795828 48
5.9088609954016 -0.81360918926442 49
5.0023070578698 -1.2356991777095 50
4.115616437395 -1.698062393766 51
3.5141225017416 -2.4969397594312 52
3.3074906616313 -3.4753585259379 53
3.9036955679043 -4.2781908308036 54
2.9324277575162 -4.5161799912794 55
2.5424483564801 -5.4370035719763 56
1.6842547355462 -5.9503296953992 57
1.7579416453805 -6.9476111197319 58
1.5391743228017 -7.9233881734546 59
1.582147183826 -8.922464413396 60
2.350460599784 -9.5625382332472 61
1.6450477086103 -10.271334856381 62
2.1866525987688 -11.111968036167 63
2.4455355710625 -12.077876730949 64
2.480176667541 -13.077276548057 65
3.457252910034 -12.86438686687 66
3.9268743778654 -11.981518996262 67
3.8717297459119 -10.983040619147 68
4.4452973747674 -10.163882407854 69
3.9456029313102 -11.030084152933 70
4.8647915198847 -11.423901799356 71
4.4307369207508 -12.324788365452 72
5.1301365275945 -13.039519216854 73
5.2472044169784 -14.032643131215 74
6.239228014199 -14.158695432096 75
7.2224201940299 -14.341269081672 76
7.8872972672768 -15.088221876346 77
7.5498191201935 -16.029555239316 78
6.7218590758502 -15.468768145161 79
5.9598891102221 -14.82115578311 80
4.9753764407431 -14.996469227077 81
4.9396083498197 -13.997109109966 82
5.9092788215508 -14.24152510014 83
5.3743631813633 -15.08643057289 84
5.2344553410575 -14.096266043016 85
6.2165014132121 -13.907624816965 86
7.133513198479 -13.508764709056 87
7.5442388161219 -14.420523705179 88
6.5710827219044 -14.650669781156 89
6.0299914029076 -13.809705938588 90
5.0447608385349 -13.98093892322 91
6.0446574183066 -13.966557346084 92
7.0445996881672 -13.977302435475 93
7.7843661699441 -13.304438740184 94
7.9462582106505 -12.317630264767 95
8.284360749851 -11.376520986847 96
9.1072163733751 -10.808270493812 97
9.5760207008244 -9.9249684488895 98
10.515945897235 -10.266348918676 99
11.372627233943 -10.782194910555 100
11.682179150751 -11.733077453669 101
11.66757965165 -10.733184032036 102
12.510339482059 -10.194894269688 103
11.89486969923 -9.4067337870291 104
11.503521045414 -8.4864913020521 105
10.840972565404 -9.2355103349448 106
11.74796549122 -8.8143644783599 107
12.736436847034 -8.6629564906745 108
12.170315303374 -7.8386347101765 109
13.112795038918 -7.5043714186091 110
12.211684789366 -7.0707813839527 111
12.796846118043 -6.2598644835118 112
11.797569115804 -6.2978838574691 113
11.582378023977 -7.2744558179503 114
10.783536306052 -7.8759970964199 115
11.767290908393 -8.0555155700444 116
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10.065148993352 -8.4066966561586 118
9.205828964568 -8.9181349106246 119
10.199539119289 -8.8061521958649 120
10.456398417477 -9.7726010051322 121
9.8192564312432 -9.0018545556574 122
10.786207049632 -9.2568182817013 123
9.8826478662086 -9.6852815847412 124
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11.791609892177 -10.130159158396 126
12.685669360572 -10.578107444442 127
12.294682762999 -9.657711073025 128
11.617299150311 -10.393341035208 129
11.367119452967 -9.425141614099 130
10.56616682579 -10.023869339379 131
11.566161125688 -10.020492925373 132
10.571448898047 -9.9177914931452 133
11.376124266972 -10.511506534764 134
11.242608342237 -9.5204598669215 135
10.465329470588 -10.149616092106 136
11.455379485187 -10.008900177614 137
10.618683814339 -9.4612320715638 138
11.123020672798 -8.5977250749506 139
10.243896964567 -9.0743187232783 140
11.121644364539 -9.553442404432 141
12.093380000398 -9.7895141181172 142
12.858095005627 -9.1451454652664 143
13.597065210511 -9.8188835718727 144
13.47123262837 -8.8268320806326 145
13.866028173069 -7.9080630792587 146
14.850261744849 -7.7311894628517 147
14.96454931113 -6.7377417530081 148
15.874521524029 -7.1524109847488 149
16.874405359013 -7.1371690512195 150
16.960790935183 -8.1334308301861 151
17.938266343347 -8.3444801761545 152
18.273766630308 -7.4024400722048 153
19.273425120033 -7.4285725026241 154
19.377281825564 -6.4339802320346 155
19.263960964323 -7.4275386764191 156
19.997040734136 -6.7473960067597 157
19.121419403824 -6.2643977811902 158
18.146081005471 -6.0436830134513 159
19.006183409914 -6.5538044243641 160
18.604157225227 -5.6381762537478 161
19.24181279289 -4.8678546475159 162
19.10138582196 -5.8579456866812 163
19.316925074164 -6.8344408637095 164
18.452806850997 -7.3377297433707 165
18.187836665218 -8.3019863485585 166
18.080857073017 -7.3077251319496 167
17.282906827664 -6.705001807412 168
17.367968308046 -5.7086261028933 169
17.761061431334 -6.628124768702 170
18.549366089184 -7.2434098785596 171
17.93256047092 -8.0305253905894 172
18.143652022173 -9.0079916851436 173
19.101543029653 -8.7208596287847 174
18.491853146426 -9.5134996771616 175
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18.211700586293 -9.8203866946863 177
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18.210564968633 -9.8996823661642 179
17.961337349216 -10.868127301986 180
18.297754527433 -11.809840359239 181
18.264290669062 -10.810400430988 182
17.930813413811 -11.753158576129 183
16.93268959794 -11.814386414494 184
16.070305211827 -11.308132357139 185
15.913052214544 -10.320574007042 186
15.051473714277 -10.828198364098 187
14.429798638888 -11.611473603487 188
14.898987738749 -12.494571326603 189
15.896448609484 -12.565787977418 190
16.292884492802 -11.647725566458 191
17.039299924193 -12.313205846993 192
16.063767882214 -12.093348540833 193
16.173905558121 -11.099432200115 194
16.875019534154 -10.386382978385 195
17.852707519759 -10.176320600022 196
16.943459185062 -10.592574688109 197
17.872854023493 -10.961661716188 198
17.719975213017 -9.9734167722052 199
16.978253448879 -9.3027090679082 200
17.043708386911 -10.300564594068 201
17.197235238043 -11.288709070337 202
17.88377709769 -10.561618790556 203
18.823569570439 -10.903364468167 204
19.411787380295 -10.094661922005 205
20.291429219797 -9.619025260049 206
19.727491859056 -8.7932076935364 207
19.161221832144 -9.6174274801354 208
19.691872825146 -8.7698370580409 209
19.577369481309 -7.7764141952829 210
18.834035608198 -8.4453347833095 211
19.130897646769 -7.4904144044004 212
18.595759765847 -8.3351791340161 213
17.87051658994 -7.6466863339086 214
18.758738309477 -8.1061013716926 215
18.953213666388 -7.1251939675232 216
19.540340057662 -6.315698692262 217
18.838800684124 -5.6030679973184 218
17.869101063819 -5.3587676772595 219
16.992614305336 -4.8773417097383 220
16.731146652213 -3.9121294707098 221
15.748239287752 -3.7280286480899 222
16.24297742538 -4.5970707501636 223
15.694439563232 -5.4331964666623 224
16.630554872154 -5.0815032361303 225
17.434846772592 -5.6757376502218 226
18.422323049664 -5.5179700926555 227
17.851902577533 -6.3393229309498 228
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18.123069568399 -7.409859768294 230
17.621675148471 -6.5446409314295 231
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18.409660171953 -5.9357244720252 237
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18.153426428149 -5.6439881761396 239
18.951287188733 -6.2468299519989 240
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18.928993768304 -6.3855231907817 243
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20.750225669359 -8.9916256386593 256
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21.297929039359 -8.2102210387788 259
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23.174293350523 -7.8709918222062 261
24.107096585308 -8.2313779001493 262
24.226042735733 -9.2242786068159 263
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22.531326138514 -10.238474885924 265
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21.778147094197 -10.911737057764 267
22.705258578298 -11.286522724577 268
21.715250316691 -11.427532092883 269
20.729724067115 -11.597054986316 270
21.223378983914 -10.727397109263 271
21.499426787797 -9.7662532022587 272
21.525550286577 -8.7665944790879 273
20.589780884422 -8.4139819070058 274
20.175906752481 -9.3243160230919 275
20.400731418636 -10.298715258256 276
20.789715705526 -11.219959647413 277
19.792793084951 -11.141567756349 278
20.608359781176 -11.720230839678 279
21.223713632272 -10.931979840351 280
21.950330296698 -11.619022941603 281
22.040972879575 -12.614906429853 282
21.754605993987 -11.656786392051 283
21.849106913901 -12.652311166296 284
21.252784904478 -11.849565838637 285
21.208389796123 -12.848579889767 286
22.134678291986 -13.225394993539 287
21.433780487431 -13.938656703973 288
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34.173491629296 -18.27650236416 400
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22.40395671024 -16.690664396383 999
23.389198846771 -16.519498008317 1000

 

Bei der ersten und allen anderen Wanderungen war das Ziel hier ...
x y distance
23.389198846771 -16.519498008317 28.63474178582
18.353214822511 22.706487000924 29.196319052996