In [6]: recor([-4,4],[1,4],200) 0 -> 1 1 -> 4 [4.0] 2 -> 12 [3.0] 3 -> 32 [2.6666666666666665] 4 -> 80 [2.5] 5 -> 192 [2.4] 6 -> 448 [2.3333333333333335] 7 -> 1024 [2.2857142857142856] 8 -> 2304 [2.25] 9 -> 5120 [2.2222222222222223] 10 -> 11264 [2.2] 11 -> 24576 [2.1818181818181817] 12 -> 53248 [2.1666666666666665] 13 -> 114688 [2.1538461538461537] 14 -> 245760 [2.142857142857143] 15 -> 524288 [2.1333333333333333] 16 -> 1114112 [2.125] 17 -> 2359296 [2.1176470588235294] 18 -> 4980736 [2.111111111111111] 19 -> 10485760 [2.1052631578947367] 20 -> 22020096 [2.1] 21 -> 46137344 [2.0952380952380953] 22 -> 96468992 [2.090909090909091] 23 -> 201326592 [2.0869565217391304] 24 -> 419430400 [2.0833333333333335] 25 -> 872415232 [2.08] 26 -> 1811939328 [2.076923076923077] 27 -> 3758096384 [2.074074074074074] 28 -> 7784628224 [2.0714285714285716] 29 -> 16106127360 [2.0689655172413794] 30 -> 33285996544 [2.066666666666667] 31 -> 68719476736 [2.064516129032258] 32 -> 141733920768 [2.0625] 33 -> 292057776128 [2.0606060606060606] 34 -> 601295421440 [2.0588235294117645] 35 -> 1236950581248 [2.057142857142857] 36 -> 2542620639232 [2.0555555555555554] 37 -> 5222680231936 [2.054054054054054] 38 -> 10720238370816 [2.0526315789473686] 39 -> 21990232555520 [2.051282051282051] 40 -> 45079976738816 [2.05] 41 -> 92358976733184 [2.048780487804878] 42 -> 189115999977472 [2.0476190476190474] 43 -> 387028092977152 [2.046511627906977] 44 -> 791648371998720 [2.0454545454545454] 45 -> 1618481116086272 [2.0444444444444443] 46 -> 3307330976350208 [2.0434782608695654] 47 -> 6755399441055744 [2.0425531914893615] 48 -> 13792273858822144 [2.0416666666666665] 49 -> 28147497671065600 [2.0408163265306123] 50 -> 57420895248973824 [2.04] 51 -> 117093590311632896 [2.0392156862745097] 52 -> 238690780250636288 [2.0384615384615383] 53 -> 486388759756013568 [2.0377358490566038] 54 -> 990791918021509120 [2.037037037037037] 55 -> 2017612633061982208 [2.036363636363636] 56 -> 4107282860161892352 [2.0357142857142856] 57 -> 8358680908399640576 [2.0350877192982457] 58 -> 17005592192950992896 [2.0344827586206895] 59 -> 34587645138205409280 [2.0338983050847457] 60 -> 70328211781017665536 [2.033333333333333] 61 -> 142962266571249025024 [2.0327868852459017] 62 -> 290536219160925437952 [2.032258064516129] 63 -> 590295810358705651712 [2.0317460317460316] 64 -> 1199038364791120855040 [2.03125] 65 -> 2434970217729660813312 [2.0307692307692307] 66 -> 4943727411754159833088 [2.0303030303030303] 67 -> 10035028776097996079104 [2.029850746268657] 68 -> 20365205457375344984064 [2.0294117647058822] 69 -> 41320706725109395619840 [2.028985507246377] 70 -> 83822005070936202543104 [2.0285714285714285] 71 -> 170005193383307227693056 [2.028169014084507] 72 -> 344732753249484100599808 [2.0277777777777777] 73 -> 698910239464707491627008 [2.0273972602739727] 74 -> 1416709944860893564108800 [2.027027027027027] 75 -> 2871198821584744289927168 [2.026666666666667] 76 -> 5817955506895402903273472 [2.026315789473684] 77 -> 11787026741242634453385216 [2.0259740259740258] 78 -> 23876284937388926200446976 [2.0256410256410255] 79 -> 48357032784585166988247040 [2.0253164556962027] 80 -> 97922991388784963151200256 [2.025] 81 -> 198263834416799184651812864 [2.0246913580246915] 82 -> 401363372112056886002450432 [2.024390243902439] 83 -> 812398150781030805402550272 [2.0240963855421685] 84 -> 1644139114675895677600399360 [2.0238095238095237] 85 -> 3326963855579459488791396352 [2.023529411764706] 86 -> 6731298963614255244763987968 [2.0232558139534884] 87 -> 13617340432139183023890366464 [2.0229885057471266] 88 -> 27544165874099711116505513984 [2.022727272727273] 89 -> 55707301767842112370460590080 [2.0224719101123596] 90 -> 112652543574969605015820304384 [2.022222222222222] 91 -> 227780967228509970581438857216 [2.021978021978022] 92 -> 460513694614161462262474211328 [2.0217391304347827] 93 -> 930930909542605966724141416448 [2.021505376344086] 94 -> 1881668859713778017846668820480 [2.021276595744681] 95 -> 3802951800684688204490109616128 [2.0210526315789474] 96 -> 7685131763883640746573763182592 [2.0208333333333335] 97 -> 15528719852795810168334614265856 [2.020618556701031] 98 -> 31374352355648677687043404333056 [2.020408163265306] 99 -> 63382530011411470074835160268800 [2.0202020202020203] 100 -> 128032710623051169551167023742976 [2.02] 101 -> 258600722446558797905327453896704 [2.01980198019802] 102 -> 522272047294030513416641720614912 [2.019607843137255] 103 -> 1054685299389886862045257066872832 [2.0194174757281553] 104 -> 2129653008383425394514461385031680 [2.019230769230769] 105 -> 4299870835974154129876817272635392 [2.019047619047619] 106 -> 8680871310362914941449423550414848 [2.018867924528302] 107 -> 17524001897555043246290425111117824 [2.0186915887850465] 108 -> 35372522348768513219364006242811904 [2.0185185185185186] 109 -> 71394081804853879892294324526776320 [2.018348623853211] 110 -> 144086237824341466691721273135857664 [2.018181818181818] 111 -> 290768624077950347197707794436325376 [2.018018018018018] 112 -> 586729545014435522023946085201870848 [2.017857142857143] 113 -> 1183843683745940699304953163062181888 [2.017699115044248] 114 -> 2388456554926020709124028311441244160 [2.017543859649123] 115 -> 4818451484720320039276300593516249088 [2.017391304347826] 116 -> 9719979719177197320609089128300019712 [2.0172413793103448] 117 -> 19606112937827509125331154139135082496 [2.017094017094017] 118 -> 39544532874601247218888260043340251136 [2.016949152542373] 119 -> 79753679747094952374228423616820674560 [2.0168067226890756] 120 -> 160836587489974820621360654293921693696 [2.0166666666666666] 121 -> 324331630971519472988528922708404076544 [2.0165289256198347] 122 -> 653980173926178609468673073657929531392 [2.0163934426229506] 123 -> 1318594171818636545920576603798101819392 [2.016260162601626] 124 -> 2658455991569831745807614120560689152000 [2.0161290322580645] 125 -> 5359447279004780799548150067050349330432 [2.016] 126 -> 10803965149739796214962143785958640713728 [2.015873015873016] 127 -> 21778071482940061661655974875633165533184 [2.015748031496063] 128 -> 43896425332801061786775324358698099277824 [2.015625] 129 -> 88473415399444000500477397932259734978560 [2.0155038759689923] 130 -> 178307960266571754854808294294246542802944 [2.0153846153846153] 131 -> 359338179468511017417323585447947231297536 [2.015267175572519] 132 -> 724120876807757050250061164614802753978368 [2.015151515151515] 133 -> 1459130789356984131330950316667422090723328 [2.0150375939849625] 134 -> 2940039650196908324323556608210477346979840 [2.014925373134328] 135 -> 5923635443359696771970425166172221025026048 [2.0148148148148146] 136 -> 11934383172651153790587474231846974712184832 [2.014705882352941] 137 -> 24042990917165828074468196262699014748635136 [2.0145985401459856] 138 -> 48434430978058697135522888123408160145801216 [2.0144927536231885] 139 -> 97565760243571476244218767442836581588664320 [2.014388489208633] 140 -> 196525317062051116434783517277713685771452416 [2.0142857142857142] 141 -> 395838227273918560762258999339508416731152384 [2.0141843971631204] 142 -> 797251640847469777309901928247178923838799872 [2.0140845070422535] 143 -> 1605653654294204866190571715630682028430589952 [2.013986013986014] 144 -> 3233608053786940355522679149534012418367160320 [2.013888888888889] 145 -> 6511817597970941957328429735613321559746281472 [2.013793103448276] 146 -> 13112838176736006407223002344317236565516484608 [2.0136986301369864] 147 -> 26404082315060257799578290434815660023080812544 [2.0136054421768708] 148 -> 53164976553297005569421152361993693830257311744 [2.0135135135135136] 149 -> 107043576952946991079371447708712135228705996800 [2.0134228187919465] 150 -> 215514401598599942039801181386873765593794740224 [2.013333333333333] 151 -> 433883298582611803841718934712646521460354973696 [2.013245033112583] 152 -> 873475587936047447207671013303091023466240933888 [2.013157894736842] 153 -> 1758369157413742573463808314361778008023543840768 [2.0130718954248366] 154 -> 3539574277910780505024549204234747938229211627520 [2.012987012987013] 155 -> 7124820481988151726242963559491879720822671147008 [2.0129032258064514] 156 -> 14340984816309484884873657421028527130373838077952 [2.0128205128205128] 157 -> 28864657337285332634522775446146589638204667723776 [2.0127388535031847] 158 -> 58094690083903390998596472100472250031323318583296 [2.0126582278481013] 159 -> 116920130986472233456294786617302641572474603438080 [2.0125786163522013] 160 -> 235301763610275369830793258067321566164605139419136 [2.0125] 161 -> 473526530495212545497993885800075698368522143924224 [2.012422360248447] 162 -> 952899067539748702668802510931016528815668018020352 [2.0123456790123457] 163 -> 1917490148178144628683234500523763321788583496384512 [2.0122699386503067] 164 -> 3858364322553583704057727958370987171891661913456640 [2.0121951219512195] 165 -> 7763496697501756301497973831388895400412313668288512 [2.012121212121212] 166 -> 15620529499792690389760983492071632914082607019327488 [2.0120481927710845] 167 -> 31428131209163736353052038642730950054681173404155904 [2.0119760479041915] 168 -> 63230406837484183853164220602637268562394265539313664 [2.011904761904762] 169 -> 127209102513281790000448727839625274030852368540631040 [2.0118343195266273] 170 -> 255914782703190424589138028947952021873832412005269504 [2.011764705882353] 171 -> 514822720759634538354757204433306991371920173858553856 [2.0116959064327484] 172 -> 1035631752225776455062476701941419877992351047413137408 [2.011627906976744] 173 -> 2083236125864567666830877990032451546481723494218334208 [2.0115606936416186] 174 -> 4190417494555164847073605152364126673957489787220787200 [2.0114942528735633] 175 -> 8428725474762388720970908649326700509903065172009811968 [2.0114285714285716] 176 -> 16953231920828895495589213987850295343782301539156099072 [2.0113636363636362] 177 -> 34098025784266027098473221354094379335516945468585148416 [2.0112994350282487] 178 -> 68579175453748526411536029464976335966938575717716197376 [2.0112359550561796] 179 -> 137924598677929997252251232443527826525686520996524195840 [2.011173184357542] 180 -> 277381692896725883362860811914205962234991781115231993856 [2.011111111111111] 181 -> 557828376875183544442438317882712542837221040474831192064 [2.0110497237569063] 182 -> 1121786735913830644318310023874026322408917037438396792832 [2.010989010989011] 183 -> 2255833436154588399503486823965255118286783987854262403072 [2.010928961748634] 184 -> 4536186800963031020740707200364915183511467801663462440960 [2.010869565217391] 185 -> 9121413459233770484948881505598640260898735255236800151552 [2.0108108108108107] 186 -> 18340906633082957856832697220934900309549069814293350842368 [2.010752688172043] 187 -> 36877972695396749487535262861345040194601338236226202763264 [2.0106951871657754] 188 -> 74148264249255166522810262561640559540209073687731407683584 [2.0106382978723403] 189 -> 149081166215433668141099998801182077382430941806020819681280 [2.0105820105820107] 190 -> 299731607864714006473158944958166071368887472473157647990784 [2.0105263157894737] 191 -> 602601766597121353328235784627935975945826122668547313238016 [2.0104712041884816] 192 -> 1211480634929629387420307358679079618307754600781558660988928 [2.0104166666666665] 193 -> 2435515473330032136368286296204574569447713912452045391003648 [2.010362694300518] 194 -> 4896139353601610995791915750101979804559837246681946920058880 [2.0103092783505154] 195 -> 9842495521086315437694517815589620940448493336919606116220928 [2.01025641025641] 196 -> 19785424669938817767610408261950564543554624360950636784648192 [2.010204081632653] 197 -> 39771716595410009319663561785443774412424524096124122673709056 [2.010152284263959] 198 -> 79945167701884766208212614093972839475479598940693943556243456 [2.01010101010101] 199 -> 160693804425899027554196209234116260252220299378279283530137600 [2.0100502512562812] 200 -> 322994546896057045383934380560573683106962801750341359895576576 [2.01] In [7]: Do you really want to exit ([y]/n)? ------- Python 3.10.7 (main, Jan 1 1970, 00:00:01) [GCC 11.3.0] Type 'copyright', 'credits' or 'license' for more information IPython 8.5.0 -- An enhanced Interactive Python. Type '?' for help. In [1]: recor([-49,14],[1,2],20) 0 -> 1 1 -> 2 [2.0] 2 -> -21 [-10.5] 3 -> -392 [18.666666666666668] 4 -> -4459 [11.375] 5 -> -43218 [9.692307692307692] 6 -> -386561 [8.944444444444445] 7 -> -3294172 [8.521739130434783] 8 -> -27176919 [8.25] 9 -> -219062438 [8.06060606060606] 10 -> -1735205101 [7.921052631578948] 11 -> -13558811952 [7.813953488372093] 12 -> -104798317379 [7.729166666666667] 13 -> -802794657658 [7.660377358490566] 14 -> -6104007655641 [7.603448275862069] 15 -> -46119168953732 [7.555555555555555] 16 -> -346571990225839 [7.514705882352941] 17 -> -2592168584428878 [7.47945205479452] 18 -> -19308332660938181 [7.448717948717949] 19 -> -143300396616119512 [7.421686746987952] 20 -> -1060097252239702299 [7.3977272727272725] In [2]: recor([-49,14],[1,2],200) 0 -> 1 1 -> 2 [2.0] 2 -> -21 [-10.5] 3 -> -392 [18.666666666666668] 4 -> -4459 [11.375] 5 -> -43218 [9.692307692307692] 6 -> -386561 [8.944444444444445] 7 -> -3294172 [8.521739130434783] 8 -> -27176919 [8.25] 9 -> -219062438 [8.06060606060606] 10 -> -1735205101 [7.921052631578948] 11 -> -13558811952 [7.813953488372093] 12 -> -104798317379 [7.729166666666667] 13 -> -802794657658 [7.660377358490566] 14 -> -6104007655641 [7.603448275862069] 15 -> -46119168953732 [7.555555555555555] 16 -> -346571990225839 [7.514705882352941] 17 -> -2592168584428878 [7.47945205479452] 18 -> -19308332660938181 [7.448717948717949] 19 -> -143300396616119512 [7.421686746987952] 20 -> -1060097252239702299 [7.3977272727272725] 21 -> -7819642097165976098 [7.376344086021505] 22 -> -57530224000578252721 [7.357142857142857] 23 -> -422260673246962709292 [7.339805825242719] 24 -> -3092668449429143546759 [7.324074074074074] 25 -> -22606585302906836899318 [7.3097345132743365] 26 -> -164951440218667682799261 [7.296610169491525] 27 -> -1201597483218912551123072 [7.284552845528455] 28 -> -8739744194350059258559219 [7.2734375] 29 -> -63478142043174114614798538 [7.2631578947368425] 30 -> -460446523081284700937777801 [7.253623188405797] 31 -> -3335822363022454197003760852 [7.244755244755245] 32 -> -24139633451331408412101539679 [7.236486486486487] 33 -> -174499572530539462116237273758 [7.228758169934641] 34 -> -1260151976312313457434346388341 [7.2215189873417724] 35 -> -9091648614375954760385223022632 [7.214723926380368] 36 -> -65535633761960007231110149288139 [7.208333333333333] 37 -> -472008090563018317976666161924978 [7.202312138728324] 38 -> -3396867213546216097348928951830881 [7.196629213483146] 39 -> -24427744552059127782028363391308412 [7.191256830601093] 40 -> -175541930265063200178299568838604599 [7.1861702127659575] 41 -> -1260627540659987541176804157566352198 [7.181347150259067] 42 -> -9047230986251728767738579332837305421 [7.1767676767676765] 43 -> -64890484315184813230676706938971018192 [7.172413793103448] 44 -> -465152462086252675610283509836566289059 [7.168269230769231] 45 -> -3332500737763481610240810497702348155418 [7.164319248826291] 46 -> -23862539686462361438467454985841126011961 [7.160550458715596] 47 -> -170783019460062461236744655414360704551972 [7.15695067264574] 48 -> -1221697827804218746829519881494834689141519 [7.1535087719298245] 49 -> -8735401635716001855012790225624011124934638 [7.150214592274678] 50 -> -62432429337617307375532588965489255981150501 [7.147058823529412] 51 -> -446019330576558212361829524461273038614309752 [7.1440329218107] 52 -> -3185081590528566911664516483148848997523961979 [7.141129032258065] 53 -> -22736195069148584357573584065481507073234289858 [7.138339920948616] 54 -> -162237733032180402334468869242447498146605921041 [7.135658914728682] 55 -> -1157254704062244999161458550185671127464002691532 [7.133079847908745] 56 -> -8251916938294590273871445109719468375312347550439 [7.130597014925373] 57 -> -58821356637074258875288762576974672008636733821078 [7.128205128205129] 58 -> -419155062942604700834341865701391457730609243523581 [7.125899280575539] 59 -> -2985924405979827126791636753547721479805329452097312 [7.123674911660777] 60 -> -21264343599529949434200163130299919288474759396706899 [7.121527777777778] 61 -> -151390514500407762866012082900360517528185488401128298 [7.1194539249146755] 62 -> -1077514366628741157848361167220351200259333627177158121 [7.117449664429531] 63 -> -7667065922282395829442464278967251444749581848824927092 [7.115511551155116] 64 -> -54540718947145224877624802711744311413786798151868231359 [7.113636363636363] 65 -> -387883835068195752644066488295025039000285663533733811518 [7.111821086261981] 66 -> -2757878462544624518013315503254879286728446180030730024661 [7.110062893081761] 67 -> -19603990557283151372627159119112083103184249007277263580872 [7.108359133126935] 68 -> -139319823137277517834127768008080078394885623280375918923819 [7.1067073170731705] 69 -> -989881986615010832419057955276629025472370524568676949470738 [7.105105105105105] 70 -> -7031676478883553279994550741476882515263791803223057265323201 [7.103550295857988] 71 -> -49939253360234215131389870572121532965546929541257631190458652 [7.1020408163265305] 72 -> -354597399577984901119725201677334218269731215219677030665584279 [7.100574712643678] 73 -> -2517340179440312074238049165448723940464437465553854500985705958 [7.09915014164306] 74 -> -17867489932843108884466153434092758471285294971989788511186253741 [7.097765363128492] 75 -> -126795190267228232744861738970311145515236693795718168608307960432 [7.096418732782369] 76 -> -899625657031882923089222827313810872120334259512554723468185012739 [7.095108695652174] 77 -> -6381794875352177518750894372848106079438081637185575866747500117178 [7.093833780160858] 78 -> -45263471060368222031140602681496752378236764204482880684523936016281 [7.092592592592593] 79 -> -320980645952898410017174613271397335402848698640667112112707598486212 [7.091383812010444] 80 -> -2275818961382534860714555054406221829106280334949678416036233514009199 [7.09020618556701] 81 -> -16133413807663465959162214711388636172748338455902809330984596870304398 [7.089058524173028] 82 -> -114352664199544315253257808293536036792269001970105088248008913997810821[7.0879396984924625] 83 -> -810400022218110581546660795251461342627097443242233578253879549324435992[7.086848635235732] 84 -> -5742319765275876694243618527137192993958183108856120771401876904649373659[7.08578431372549] 85 -> -40682875625174855223624280412599096126686788805116245465186178748193867618 [7.084745762711864] 86 -> -288186590253930015112802617946664889069664070937677518713914534146894837361 [7.083732057416268] 87 -> -2041151357921452305621646911035952736767644341676789234200680719395028209772 [7.08274231678487] 88 -> -14454976088457761538175728475116758750333481307528850861827717898332547906119 [7.081775700934579] 89 -> -102353248700257498558999500010872938403054165563241239589754695326299288406838 [7.080831408775982] 90 -> -724651653469174664455382304871499958876417733816463662027007557549895190295901 [7.079908675799087] 91 -> -5129813962255827872984376767668225442520194160831670528480125734709867532207552 [7.07900677200903] 92 -> -36309464451592031663467541808651658210338249294636667959398389965993281126406579 [7.078125] 93 -> -256971618171752877512311123705380168261245976244161495536051298523122426691522058 [7.077262693156733] 94 -> -1818438896276530733662446183251391103350869451981064207494197070990043198487386441 [7.076419213973799] 95 -> -12866535257455539273171001503955847202111119491770985623652245366227605870938829332 [7.075593952483802] 96 -> -91027987686827543874934158076063696765363069737721652563915778648674365467261675039 [7.0747863247863245] 97 -> -643931600000264189863699139371055241811638121231324840335860878136288428865660813278 [7.07399577167019] 98 -> -4554671003349149008220014205467652243860143280090186789070179140122994096223429308981 [7.073221757322176] 99 -> -32212745646875140811758941047365424565271737980927697870525324933043784332710630475112 [7.072463768115942] 100 -> -227799559892143669961844478595200983964657311008568617522915771196586269943000790511499 [7.07172131147541] 101 -> -1610769301793129479689634589011907971806887193054503449665079875033062346899190173880498 [7.070993914807302] 102 -> -11388591790388772887524504795001863391028212463343186036688245461830145629381623699263521 [7.070281124497992] 103 -> -80512589277579475920550972268442596855857502027133935480046522589001983813282413269544892 [7.069582504970179] 104 -> -569135252157062791399012876803105049821622617676058980922927288616350637546254224509715959 [7.068897637795276] 105 -> -4022776655597484759479182634089783451565699048135262894398702433767811718796720892928323718 [7.0682261208577] 106 -> -28431245822668709854156925913904820880660278407766790456358396930548182823387635500020450061 [7.0675675675675675] 107 -> -200921385393085184743717013724268103202524644350107184563481137773051785306387573246798438672 [7.066921606118547] 108 -> -1419768350192425803558348822358417221682991378920927851527174479225864035943431885954176088419 [7.066287878787879] 109 -> -10031609018432787197374749840528704046638171731737737877769866958282559023195055314265341742938 [7.065666041275797] 110 -> -70873877098630156388887405471839412790467826677202865563946587933888488563502611987960156068601 [7.065055762081784] 111 -> -500685437477615616773060934419845280781279158625690961884528750118593447752478857432440439556452 [7.064456721915286] 112 -> -3536776146853740971767370213757702704204984713576733053750019692899772328923076016644118506428879 [7.063868613138686] 113 -> -24981279619549208382863197206035419100587107217415405620158366944785733665051600218828077551738158 [7.063291139240507] 114 -> -176435883477855609743483620410368434902175250078555759048466172274911427193491678248031278909319141 [7.062724014336918] 115 -> -1246019667332067325648474022649422552701685247446425751290766431554259031121355084749862104695298232 [7.0621669626998225] 116 -> -8798917052234017681647938916983862427617006210400728324695887600288966503217878952344536799177537339 [7.061619718309859] 117 -> -62129875032004948586295917727952368904255509820735334732494871257886838520103906180080272058415909378 [7.061082024432809] 118 -> -438671314888602413807393841259123905706343833180658998344829705196256380623778617856241505658123401681 [7.060553633217993] 119 -> -3097034531872191312575013808958068603580293683313194574935367181111134241247809247163447748351348064012 [7.060034305317324] 120 -> -21863589016669160099487895103715889070513263740532433130198484980939316726904177185332434699670826213799 [7.059523809523809] 121 -> -154335554171630867076654854813077085411751301885107529650945797858704856355515827483645146126175511856598 [7.059021922428331] 122 -> -1089381896586043294198261107301000631309368303105416191733515405955841469358916902689742745482586681516221 [7.058528428093646] 123 -> -7688904397794693632019567616373231653155342451105557731372871588305242609604561090957786276573613460253792 [7.05804311774461] 124 -> -54264948636409589432559152371476212210015747463312414844277947344437164535876927041611613343383841049258259 [7.057565789473684] 125 -> -382952965417794264086869319998378619935608684382201478982620554995163415631653485125631059255266715137179818 [7.057096247960848] 126 -> -2702359032665049815020772013774966280807749955648512378387068350054866756585179366719865775747925800506862761 [7.05663430420712] 127 -> -19068331151838778470034211512928975554463673844351300827270549706005127226241490362922198956962892165374267572 [7.056179775280899] 128 -> -134541043525155457644461132506032310002911685994141105040821346731383310094707076111637362385832126090403470719 [7.055732484076433] 129 -> -949226382912076261990779490950932537872043585544761730035241918645115107240066037779735324510468049162309479038 [7.055292259083728] 130 -> -6696658228036450243292317380517472340065937583913750073493140871193829306720277799446063786240778509842562641301 [7.054858934169279] 131 -> -47241122429818566568544248270648918405192990483099176257177118183102970039320653341037862106357964728842712505352 [7.05443234836703] 132 -> -333239460843673870038295924143728713009470925151614713999315751874943944521195534601672943963213359221512405651179 [7.054012345679013] 133 -> -2350537452750324418677474772750404980278136418450746359388741735277169691370025470712565972273446757387880766354258 [7.053598774885145] 134 -> -16578790757164522229608146535462962786429834525881328045475912452008122397641775394493949357630800001576222852051841 [7.053191489361702] 135 -> -116926735415537414699317787631711634976388998858252021026614429299532398689853607457999558365432308910060962377367132 [7.052790346907994] 136 -> -824613548716462216539649846606277713134384092247343220144282300045055584173503510081790298592143124663618553532599639 [7.052395209580839] 137 -> -5815179646669137711288526258534017870038316347408456051715845164953690642626222375703085820383820608697672592965405478 [7.052005943536404] 138 -> -41006451166261279347596525135768642236951608343598566936951999607143945372265441265835476854358475413250107178418294381 [7.051622418879056] 139 -> -289146513640870163013213565232594115685445015787365590583251581417284393723031281312245470762211445959315543442551252912 [7.051244509516837] 140 -> -2038735083825379594152760181603654149985601412186788488254874159091928188881431316345498224807394948181162356453221116099 [7.050872093023256] 141 -> -14374112005152676330491177846054046431211613997034124896988910737840059351911505644536947079955168422529811361660084232698 [7.05050505050505] 142 -> -101339548964693868513391240946177596687668126761325112633355916534256349671570944522587846103810005454540403597033344568921 [7.0501432664756445] 143 -> -714422197253233018993409658789838078497984688803879456914526205325425987158329446733919438535536823659604893637122696562692 [7.049786628733997] 144 -> -5036272862275262708751564416695030861276047431949381877768926964377402686309635972668067680410825263961988734665083868000559 [7.049435028248587] 145 -> -35501132406445259991844828553028366211463414295901252899953193440337764237576760727390895037510249336147202497092162020435918 [7.049088359046284] 146 -> -250238483438745767157000943324340614757961475977097828588667286910235967696902487522737214185013052771923386960701158754075461 [7.048746518105849] 147 -> -1763783280226623000597616607442378662249753363180208208143635538166753100115373549676167141752180521335714495092300283555696472 [7.048409405255878] 148 -> -12431280234674179417673586281300611148356434761645121313166200475732980984467007806852216489464887712875756970217847190830053019 [7.048076923076923] 149 -> -87612542554333984818146994173532001626752171867201496185288665290090831876884805361798840906651582434810587323527146777391615138 [7.04774897680764] 150 -> -617442864261640995988052190645718076505065102820210002248897490750355578037503892529425164709342656156436130988705542532810014001 [7.047425474254743] 151 -> -4351185514500608687743527954536984991360055017990066718405420271290527330557699032683809101504869646884387054989047403367151054252 [7.0471063257065945] 152 -> -30661896854188112824994834021877604130292580213670643947479906751299959303970095723631494350310384904716048351400092063032424073479 [7.0467914438502675] 153 -> -216058465748103753850494806533974193247453427109875746062853101224963591058254087529334274930606775968689711225137966117463535370358 [7.046480743691899] 154 -> -1522385574618235025482180424403636103080011549068398891453427986335792268921022534952736625863286003230569587933327014555900715584541 [7.046174142480211] 155 -> -10726533222998206418076280421486169973994943758573672923268189848677875803039865200400933290486272022762178381034817864026896785036032 [7.045871559633028] 156 -> -75574571965681373604441085105028210585008646715679875244536686551036440065428008592928971399506794160372587525754426383137419926861939 [7.045572916666667] 157 -> -532443879592627115976437450817572619464368809849408280183372309129294246567038725481359868359267789129869484689855894026605936509301578 [7.045278137128072] 158 -> -3751060287978392317052511141299634353835739648823402035584914686809333888732569735685518558453916133959915996896015623598749534713987081 [7.044987146529563] 159 -> -26425093931658763755889720888133822599946283400906622769203562467995256360471078751010626268750704208075219206741279923078802597040041812 [7.044699872286079] 160 -> -186149360932281469046883046510191433061296724820346019025189054898276228498699185465558358398267968349017185046473153366764509157575218399 [7.0444162436548226] 161 -> -1311261450400661142617766327624122755460786260840419750661672207644099637318705737718296330406967050690554849520301430903841800951091008798 [7.044136191677175] 162 -> -9236341619927464013351459307738338356447468135568921577029147217001859726025620240243789064182408260565925826007035517682324264594088421621 [7.043859649122807] 163 -> -65056971609352100198649880254754721972686027116784334295986122863465153935742102215216526708612330164085773937603727133264291457713778471592 [7.043586550435865] 164 -> -458216863154483666126876817487387528151678440992103522869377506455421028525134039241085709775634617529470469652107439499266191442882565942859 [7.0433168316831685] 165 -> -3227244475304518416042431312340444017461882845167016939667965070066101856500513540829590128136880467372383652186921523459776398772380778092018 [7.043050430504305] 166 -> -22728796359693558184377074315884227365034116223725164534752013164609795593275621648801062014910230284269318117663636792972826202112085162088161 [7.04278728606357] 167 -> -160068169745788412195199906117697426254845367718968473442797895871298147337333539582564951930036081078523654690131760452090523289722534142725372 [7.042527339003645] 168 -> -1127243354816053419698322044169436826681163453103025565996321897132294078652164093364657288289903851170134577896326443473598842152623305055835319 [7.042270531400966] 169 -> -7938066649881115678211713218604941687048865325212902725251409662158507881600953867559519391486885943534225010732113946477948148940322097788151238 [7.042016806722689] 170 -> -55898008712349001929746204896166779111307105350932385419699962310736700488457313570965064354611114502142555833329599520484930819685967421298186701 [7.041766109785203] 171 -> -393606856128711358784072920834692764892905073977621162338480398904546920639955650483094450781698191796818756140740809909369572177527761106555203152 [7.041518386714117] 172 -> -2771493558896857928419456851773526532046622873491009387173427431437558565024970741786034157567830074550477350137220962227412400320776251848161695779 [7.04127358490566] 173 -> -19514173874249154417452822803929425968900371603970694465842444493803020798991763511332850117646409645662563851024793785624664567792007231653058786458 [7.041031652989449] 174 -> -137395249853542123351786133518109163494320681654530262550296278772801921499661122811144227926226061386302503757623285849602096333370064902582899917241 [7.040792540792541] 175 -> -967338978111381160469817551860986416444371334568859646877868122622878881844659307300709535202490786770769423906511106398820784845372554285160718304932 [7.040556199304751] 176 -> -6810378450735772202339925183666460818999485282892052191325636056853010192341835284463866324449794006861949250567614482952988267500082579765687960324239[7.040322580645161] 177 -> -47945688382843133969737892530142117060218598566614607981543366787421077482397387924759361317375067544299587736527558547799617287577900956746756247597678[7.040091638029782] 178 -> -337531093273751037661674161422333058712085601070893954366650968238097585328813502007901608545211039283958715033572710004498216918586566985935877410479781 [7.039863325740319] 179 -> -2376096575073200962746281525935699086018487085228399570037488582749733397965917019797413815081576240304742211380167571220793789768894790922511227614430712 [7.0396375990939974] 180 -> -16726328480611012633025907453405467327366624740723790216558942714829485890410976678776614592426726439352413922677283206870700427753785290604299193488520699 [7.039414414414415] 181 -> -117739866549967329687794909576827287368226879193941484099988257452875865965423739532799327354976934376001426559853753906370910289877149313257138555732184898 [7.039193729003359] 182 -> -828768036149602996610859268858714124114211696419715056788447411313617314885794496199136467940767485735751689626765677552528423098344611145989279299313074321 [7.038975501113586] 183 -> -5833499045146042797850079194757460656555846669372878074138839143199724976095359709680743510776875015876453753341885544323223319172844239694250120959505980492 [7.038759689922481] 184 -> -41059352860714052335969004552527457110185480246654255255309824850428901235931105621772722221778643421218519755074879420451233736600933409566027007766743085159 [7.038546255506608] 185 -> -288989486837840635608912183192268827371360236653888547941534429889218093474362852930461679076834132119113042657295920214479329672943699988906122181718610148118 [7.038335158817087] 186 -> -2033944525554780334062289341617918184799954781068381163671300600778037148080455765559600118208524322027875129203473791400600162327766062775950387163490130900861 [7.038126361655773] 187 -> -14314738502712733532035353806229682046002715338916797442263021346320833492882600924241779380154468034553712718641132989098915118614483579406905433384649935354272 [7.037919826652221] 188 -> -100743057285794033079442775547937557588840230472484487171788569410367848644414080426964505529944860704386096730005646068755403706542233035675107096374082680817619 [7.037715517241379] 189 -> -708980615368192520042466521165871385989630175007859745734151925775429039870549680689655887791659116168273431006663528496728811079481567108513133113389310699087338 [7.037513397642015] 190 -> -4989318808150787659701835294473259082001651156958296568860487059747981974611405588733921658115929451840909294323012741585188573492172520771103615865120298427159401 [7.037313432835821] 191 -> -35110413161069593753744834585497929234531237622031024423073374473475724690902743888481764711831715633527332001195665485852928285995818502478307099555607953724952052 [7.03711558854719] 192 -> -247069162655585717227037754767781314265356420017477810048863376701009028916679540590782544717963475729178092594911692464266755902825005516912222216387616729218518079 [7.036919831223629] 193 -> -1738558032285789947245031672059539867222959236765169143953491924613815894979279117735349155171734594165654028270176085692941096625754970615334063151201844476536602558 [7.036726128016789] 194 -> -12233423481877359117305593425212273742118964733855955322954581486243980112792610159346543481224074007589429858631792268952104313522144318285977995513832602939805049941 [7.036534446764092] 195 -> -86078585164279320227271756022054378895740503672490086467643036501338742725111865461819500133722040992134970635606463566375346654648026895852322842784766061806977173832 [7.036344755970924] 196 -> -605662441687919886433830506473359891176537779455919399722228018192787372624728218657492371292128947518007525825532668750601741802487304945919598018808927321247232986539 [7.036157024793388] 197 -> -4261423510581191718937311045546373910580244232430857359196683466133424823215713653575737691537425256637491800412740647756032399157068951346110552966871445468919380293778 [7.0359712230215825] 198 -> -29982469505428609629864659820454600080473068060691952442364395634421366266408308435843201488209635164542516440327268299804968239877087376495487438614562797823756907772481 [7.0357873210633946] 199 -> -210944821057522140590176996254592079508190985460575323592464049041361311392146349076593673949601054728358131944357464457223967799582844654977407045227178341555547074419612 [7.03560528992879] 200 -> -1484086489039308096399109616362013709171493461474148860618641300492411412436041773715994562372142643134430541644968355710692105440182543721404814141066919688413570561022999 [7.0354251012145745] In [3]: recor([-49,14],[1,2],20) 0 -> 1 1 -> 2 [2.0] 2 -> -21 [-10.5] 3 -> -392 [18.666666666666668] 4 -> -4459 [11.375] 5 -> -43218 [9.692307692307692] 6 -> -386561 [8.944444444444445] 7 -> -3294172 [8.521739130434783] 8 -> -27176919 [8.25] 9 -> -219062438 [8.06060606060606] 10 -> -1735205101 [7.921052631578948] 11 -> -13558811952 [7.813953488372093] 12 -> -104798317379 [7.729166666666667] 13 -> -802794657658 [7.660377358490566] 14 -> -6104007655641 [7.603448275862069] 15 -> -46119168953732 [7.555555555555555] 16 -> -346571990225839 [7.514705882352941] 17 -> -2592168584428878 [7.47945205479452] 18 -> -19308332660938181 [7.448717948717949] 19 -> -143300396616119512 [7.421686746987952] 20 -> -1060097252239702299 [7.3977272727272725] In [4]: for x in range(20): ...: print(f"{x} -> {7**x * (1 - (5/7)*x)}") ...: 0 -> 1.0 1 -> 2.0 2 -> -21.0 3 -> -392.0 4 -> -4459.0 5 -> -43218.0 6 -> -386561.0 7 -> -3294172.0 8 -> -27176919.0 9 -> -219062438.0 10 -> -1735205101.0 11 -> -13558811952.000002 12 -> -104798317379.0 13 -> -802794657658.0001 14 -> -6104007655641.0 15 -> -46119168953732.01 16 -> -346571990225839.0 17 -> -2592168584428878.0 18 -> -1.930833266093818e+16 19 -> -1.4330039661611952e+17 In [5]: Do you really want to exit ([y]/n)? y