Output_Dense_24.txt

Randomly generating 10000 unique keys from 100000 to 200000
Number of keys generated: 10000
Keys generated: [100000, 100004, 100005, 100006, 100010, 100016, 100023, 100025, 100026, 100038, 100043, 100053, 100059, 100071, 100083, 100116, 100124, 100134, 100160, 100164, 100175, 100184, 100185, 100189, 100192, 100200, 100215, 100220, 100222, 100238, 100242, 100253, 100265, 100273, 100275, 100284, 100291, 100293, 100295, 100299, 100301, 100315, 100320, 100345, 100358, 100360, 100364, 100368, 100370, 100374, 100384, 100389, 100401, 100406, 100422, 100431, 100433, 100436, 100439, 100449, 100450, 100464, 100478, 100500, 100503, 100524, 100529, 100532, 100574, 100580, 100592, 100598, 100614, 100629, 100632, 100654, 100661, 100667, 100670, 100674, 100680, 100688, 100695, 100698, 100699, 100760, 100762, 100786, 100800, 100807, 100823, 100825, 100835, 100836, 100844, 100846, 100852, 100854, 100867, 100872, 100877, 100881, 100900, 100902, 100903, 100915, 100925, 100932, 100957, 100963, 100971, 100988, 100997, 101026, 101032, 101033, 101044, 101058, 101080, 101103, 101114, 101138, 101139, 101151, 101155, 101174, 101195, 101198, 101204, 101210, 101212, 101221, 101239, 101242, 101246, 101250, 101252, 101259, 101267, 101274, 101294, 101295, 101298, 101308, 101321, 101347, 101362, 101368, 101369, 101374, 101375, 101376, 101391, 101398, 101407, 101442, 101446, 101450, 101461, 101464, 101466, 101469, 101474, 101479, 101483, 101505, 101516, 101525, 101526, 101550, 101554, 101573, 101581, 101591, 101592, 101596, 101605, 101633, 101662, 101667, 101672, 101674, 101678, 101687, 101691, 101703, 101705, 101706, 101712, 101734, 101735, 101736, 101747, 101748, 101755, 101787, 101789, 101796, 101841, 101859, 101862, 101863, 101899, 101904, 101911, 101917, 101920, 101930, 101938, 101947, 101960, 101962, 101971, 101989, 101994, 101997, 102006, 102016, 102020, 102060, 102071, 102073, 102077, 102087, 102090, 102100, 102140, 102141, 102150, 102156, 102160, 102169, 102186, 102188, 102207, 102213, 102222, 102254, 102276, 102278, 102297, 102306, 102312, 102314, 102337, 102354, 102387, 102388, 102397, 102416, 102427, 102429, 102451, 102478, 102484, 102493, 102496, 102497, 102499, 102517, 102529, 102532, 102534, 102536, 102537, 102548, 102552, 102569, 102583, 102589, 102593, 102603, 102605, 102616, 102633, 102634, 102645, 102646, 102656, 102663, 102669, 102684, 102692, 102706, 102716, 102731, 102732, 102749, 102753, 102758, 102769, 102772, 102782, 102785, 102786, 102787, 102789, 102800, 102839, 102841, 102856, 102861, 102868, 102909, 102915, 102916, 102927, 102942, 102951, 102958, 102961, 102962, 102968, 102987, 102990, 103006, 103019, 103023, 103033, 103051, 103057, 103076, 103098, 103108, 103118, 103122, 103133, 103147, 103170, 103185, 103193, 103196, 103197, 103198, 103200, 103219, 103226, 103239, 103245, 103252, 103284, 103289, 103338, 103340, 103343, 103354, 103356, 103358, 103368, 103371, 103394, 103395, 103398, 103414, 103417, 103440, 103452, 103462, 103484, 103489, 103494, 103506, 103512, 103534, 103553, 103559, 103563, 103565, 103570, 103589, 103600, 103614, 103631, 103646, 103658, 103669, 103672, 103699, 103761, 103764, 103766, 103795, 103798, 103802, 103803, 103818, 103842, 103843, 103854, 103856, 103877, 103883, 103907, 103925, 103926, 103943, 103954, 103987, 104014, 104028, 104030, 104044, 104052, 104057, 104061, 104074, 104079, 104091, 104094, 104107, 104144, 104148, 104149, 104150, 104152, 104153, 104162, 104171, 104180, 104181, 104184, 104200, 104201, 104217, 104218, 104224, 104227, 104237, 104246, 104282, 104293, 104295, 104296, 104314, 104316, 104331, 104332, 104335, 104343, 104352, 104357, 104359, 104366, 104376, 104389, 104391, 104400, 104417, 104420, 104424, 104431, 104433, 104441, 104453, 104464, 104465, 104473, 104476, 104482, 104489, 104503, 104506, 104510, 104531, 104538, 104539, 104543, 104547, 104549, 104565, 104569, 104577, 104580, 104596, 104597, 104611, 104616, 104641, 104652, 104656, 104678, 104698, 104701, 104707, 104710, 104717, 104718, 104732, 104742, 104748, 104749, 104775, 104808, 104810, 104811, 104812, 104825, 104826, 104831, 104842, 104847, 104854, 104855, 104862, 104887, 104894, 104896, 104916, 104922, 104928, 104934, 104948, 104969, 104988, 105000, 105019, 105026, 105046, 105047, 105051, 105085, 105098, 105101, 105112, 105114, 105115, 105116, 105121, 105127, 105136, 105146, 105148, 105151, 105152, 105155, 105164, 105171, 105189, 105193, 105202, 105204, 105206, 105208, 105213, 105222, 105224, 105227, 105234, 105272, 105288, 105291, 105300, 105322, 105324, 105325, 105327, 105336, 105339, 105342, 105360, 105362, 105364, 105385, 105402, 105403, 105404, 105425, 105431, 105437, 105446, 105451, 105454, 105455, 105457, 105468, 105469, 105479, 105488, 105497, 105504, 105521, 105547, 105562, 105571, 105587, 105590, 105593, 105604, 105606, 105607, 105628, 105650, 105663, 105664, 105682, 105706, 105716, 105724, 105725, 105742, 105746, 105747, 105748, 105773, 105781, 105785, 105795, 105809, 105814, 105815, 105830, 105835, 105844, 105858, 105881, 105884, 105886, 105923, 105930, 105933, 105936, 105945, 105958, 105959, 105962, 105968, 105987, 105997, 106008, 106024, 106031, 106045, 106081, 106091, 106101, 106118, 106129, 106150, 106158, 106177, 106220, 106222, 106240, 106242, 106249, 106267, 106274, 106299, 106301, 106310, 106334, 106343, 106348, 106352, 106358, 106360, 106363, 106365, 106375, 106389, 106393, 106402, 106405, 106409, 106413, 106431, 106459, 106465, 106494, 106500, 106504, 106509, 106518, 106531, 106533, 106536, 106550, 106551, 106561, 106620, 106629, 106635, 106646, 106702, 106704, 106715, 106717, 106734, 106747, 106749, 106760, 106762, 106773, 106791, 106806, 106808, 106813, 106818, 106832, 106833, 106838, 106848, 106859, 106862, 106876, 106900, 106920, 106925, 106928, 106949, 106958, 106963, 106968, 106990, 107005, 107013, 107023, 107036, 107049, 107055, 107068, 107071, 107072, 107075, 107097, 107099, 107109, 107117, 107118, 107135, 107140, 107146, 107167, 107173, 107176, 107190, 107210, 107214, 107220, 107229, 107248, 107260, 107268, 107271, 107279, 107317, 107322, 107325, 107333, 107337, 107341, 107348, 107352, 107357, 107374, 107384, 107398, 107413, 107430, 107433, 107447, 107456, 107464, 107475, 107487, 107495, 107498, 107527, 107531, 107538, 107542, 107549, 107569, 107577, 107598, 107620, 107631, 107649, 107664, 107676, 107701, 107705, 107707, 107714, 107716, 107738, 107747, 107757, 107765, 107771, 107779, 107809, 107819, 107840, 107846, 107848, 107856, 107859, 107868, 107870, 107880, 107887, 107894, 107897, 107904, 107907, 107916, 107926, 107934, 107958, 107976, 107985, 107999, 108014, 108018, 108042, 108051, 108054, 108066, 108072, 108074, 108076, 108085, 108141, 108145, 108158, 108169, 108170, 108177, 108202, 108205, 108206, 108210, 108242, 108247, 108285, 108296, 108349, 108355, 108360, 108379, 108392, 108407, 108420, 108438, 108457, 108461, 108462, 108468, 108487, 108493, 108496, 108500, 108501, 108524, 108532, 108533, 108543, 108549, 108555, 108556, 108567, 108573, 108577, 108579, 108586, 108594, 108611, 108625, 108641, 108644, 108648, 108652, 108653, 108658, 108669, 108691, 108694, 108710, 108733, 108767, 108774, 108805, 108810, 108826, 108837, 108848, 108861, 108866, 108875, 108877, 108878, 108881, 108896, 108907, 108909, 108925, 108939, 108943, 108949, 108951, 108979, 108986, 108989, 108999, 109005, 109009, 109017, 109021, 109053, 109076, 109097, 109114, 109120, 109149, 109150, 109151, 109152, 109156, 109163, 109168, 109196, 109213, 109214, 109220, 109226, 109235, 109238, 109240, 109256, 109269, 109270, 109276, 109312, 109314, 109315, 109316, 109318, 109323, 109335, 109345, 109358, 109389, 109395, 109399, 109400, 109406, 109416, 109421, 109422, 109425, 109428, 109434, 109435, 109436, 109439, 109455, 109461, 109465, 109477, 109484, 109522, 109535, 109543, 109567, 109576, 109585, 109618, 109623, 109628, 109643, 109644, 109650, 109656, 109669, 109673, 109674, 109684, 109692, 109697, 109698, 109700, 109711, 109720, 109721, 109726, 109735, 109759, 109768, 109769, 109791, 109809, 109813, 109821, 109824, 109825, 109826, 109831, 109836, 109851, 109874, 109891, 109895, 109903, 109930, 109931, 109940, 109961, 109981, 109991, 109993, 110022, 110030, 110038, 110044, 110054, 110057, 110059, 110064, 110077, 110092, 110095, 110098, 110115, 110134, 110150, 110184, 110187, 110193, 110204, 110208, 110226, 110228, 110229, 110249, 110262, 110267, 110311, 110326, 110330, 110335, 110346, 110347, 110364, 110382, 110390, 110400, 110414, 110418, 110419, 110444, 110449, 110458, 110473, 110478, 110480, 110504, 110511, 110538, 110542, 110555, 110565, 110570, 110577, 110589, 110591, 110594, 110595, 110604, 110611, 110622, 110624, 110640, 110642, 110647, 110651, 110675, 110676, 110686, 110759, 110765, 110785, 110792, 110806, 110810, 110834, 110835, 110858, 110870, 110894, 110906, 110917, 110919, 110928, 110931, 110932, 110946, 110988, 111021, 111053, 111063, 111070, 111078, 111093, 111095, 111097, 111101, 111104, 111124, 111155, 111169, 111217, 111218, 111223, 111224, 111225, 111229, 111233, 111235, 111257, 111285, 111301, 111308, 111334, 111340, 111342, 111344, 111347, 111357, 111365, 111381, 111387, 111395, 111409, 111411, 111423, 111447, 111488, 111499, 111504, 111514, 111519, 111527, 111536, 111562, 111588, 111591, 111592, 111603, 111606, 111617, 111625, 111629, 111630, 111637, 111652, 111654, 111655, 111664, 111672, 111675, 111682, 111685, 111687, 111688, 111700, 111715, 111725, 111738, 111739, 111747, 111750, 111761, 111765, 111796, 111798, 111802, 111804, 111811, 111813, 111827, 111844, 111850, 111851, 111858, 111871, 111872, 111888, 111893, 111896, 111906, 111907, 111910, 111932, 111934, 111963, 111965, 111977, 111979, 112015, 112019, 112027, 112031, 112037, 112041, 112046, 112075, 112083, 112091, 112092, 112099, 112104, 112108, 112124, 112127, 112133, 112136, 112137, 112147, 112172, 112176, 112181, 112185, 112197, 112200, 112205, 112221, 112225, 112237, 112248, 112251, 112265, 112266, 112268, 112275, 112289, 112292, 112295, 112314, 112315, 112327, 112328, 112337, 112357, 112359, 112370, 112406, 112408, 112436, 112449, 112453, 112457, 112479, 112496, 112499, 112516, 112521, 112544, 112551, 112559, 112575, 112583, 112589, 112595, 112602, 112604, 112622, 112632, 112641, 112647, 112656, 112657, 112671, 112680, 112685, 112687, 112706, 112708, 112711, 112744, 112747, 112766, 112768, 112779, 112787, 112789, 112819, 112847, 112852, 112874, 112883, 112887, 112888, 112922, 112923, 112927, 112930, 112938, 112941, 112945, 112946, 112953, 112959, 112977, 112984, 113000, 113001, 113013, 113041, 113042, 113085, 113111, 113117, 113125, 113126, 113136, 113138, 113159, 113161, 113176, 113177, 113180, 113212, 113218, 113248, 113254, 113257, 113260, 113267, 113268, 113270, 113275, 113278, 113283, 113289, 113290, 113293, 113295, 113298, 113300, 113301, 113305, 113308, 113315, 113320, 113322, 113327, 113338, 113340, 113345, 113348, 113356, 113358, 113376, 113379, 113384, 113385, 113411, 113421, 113439, 113446, 113451, 113461, 113462, 113464, 113466, 113476, 113498, 113504, 113518, 113526, 113542, 113554, 113563, 113573, 113582, 113587, 113595, 113612, 113613, 113619, 113629, 113645, 113655, 113661, 113669, 113693, 113698, 113714, 113719, 113724, 113726, 113742, 113758, 113760, 113778, 113783, 113799, 113816, 113826, 113831, 113833, 113841, 113856, 113863, 113866, 113888, 113900, 113902, 113903, 113904, 113916, 113922, 113935, 113950, 113955, 113971, 113973, 113978, 113979, 113983, 113992, 114017, 114031, 114040, 114042, 114049, 114058, 114059, 114086, 114090, 114095, 114107, 114112, 114118, 114121, 114145, 114169, 114172, 114180, 114194, 114196, 114198, 114204, 114205, 114209, 114212, 114229, 114231, 114237, 114258, 114265, 114277, 114283, 114285, 114304, 114319, 114324, 114327, 114346, 114353, 114369, 114380, 114381, 114401, 114409, 114415, 114423, 114428, 114431, 114432, 114455, 114457, 114463, 114471, 114499, 114522, 114525, 114541, 114549, 114554, 114563, 114582, 114586, 114592, 114620, 114623, 114628, 114662, 114664, 114668, 114670, 114674, 114680, 114687, 114708, 114744, 114755, 114762, 114807, 114817, 114822, 114852, 114870, 114899, 114901, 114908, 114932, 114951, 114963, 114978, 114983, 114999, 115014, 115025, 115033, 115035, 115045, 115057, 115061, 115109, 115142, 115148, 115150, 115155, 115161, 115180, 115190, 115192, 115198, 115214, 115225, 115239, 115254, 115260, 115264, 115280, 115281, 115292, 115304, 115311, 115319, 115331, 115333, 115335, 115372, 115387, 115417, 115425, 115431, 115435, 115446, 115447, 115459, 115460, 115505, 115527, 115533, 115545, 115551, 115557, 115562, 115565, 115570, 115576, 115577, 115588, 115597, 115608, 115609, 115614, 115637, 115651, 115663, 115674, 115711, 115713, 115721, 115728, 115731, 115732, 115738, 115741, 115748, 115758, 115762, 115773, 115783, 115803, 115831, 115840, 115844, 115845, 115851, 115857, 115867, 115873, 115893, 115901, 115902, 115914, 115924, 115943, 115948, 115949, 115962, 115963, 115969, 115971, 115973, 115976, 116009, 116025, 116032, 116033, 116038, 116039, 116045, 116054, 116059, 116060, 116066, 116068, 116070, 116074, 116077, 116079, 116095, 116098, 116099, 116111, 116122, 116145, 116155, 116162, 116165, 116171, 116179, 116187, 116203, 116213, 116214, 116218, 116225, 116233, 116243, 116248, 116258, 116261, 116279, 116297, 116307, 116319, 116323, 116354, 116360, 116374, 116392, 116401, 116403, 116436, 116438, 116443, 116462, 116479, 116498, 116519, 116557, 116570, 116586, 116595, 116597, 116610, 116636, 116637, 116641, 116642, 116669, 116678, 116680, 116685, 116725, 116726, 116732, 116743, 116748, 116776, 116794, 116809, 116818, 116823, 116846, 116847, 116863, 116872, 116894, 116907, 116912, 116930, 116936, 116938, 116948, 116950, 116958, 116968, 116969, 116980, 116996, 117005, 117026, 117035, 117041, 117050, 117057, 117065, 117074, 117087, 117097, 117128, 117129, 117134, 117140, 117154, 117159, 117173, 117176, 117177, 117205, 117214, 117218, 117230, 117232, 117252, 117265, 117280, 117281, 117286, 117293, 117301, 117306, 117313, 117317, 117326, 117342, 117356, 117362, 117363, 117381, 117393, 117398, 117412, 117441, 117445, 117451, 117460, 117464, 117466, 117484, 117503, 117521, 117524, 117528, 117532, 117539, 117548, 117558, 117561, 117562, 117566, 117574, 117600, 117608, 117614, 117627, 117634, 117636, 117638, 117673, 117688, 117689, 117690, 117693, 117703, 117718, 117725, 117729, 117735, 117741, 117769, 117795, 117801, 117814, 117863, 117897, 117902, 117911, 117918, 117941, 117955, 117958, 117961, 117976, 117978, 117986, 117999, 118019, 118022, 118034, 118040, 118070, 118110, 118113, 118115, 118116, 118117, 118125, 118141, 118158, 118168, 118174, 118179, 118194, 118213, 118220, 118229, 118232, 118236, 118273, 118279, 118280, 118289, 118294, 118330, 118340, 118369, 118371, 118383, 118411, 118416, 118426, 118439, 118444, 118466, 118473, 118488, 118492, 118501, 118504, 118514, 118517, 118524, 118551, 118564, 118568, 118579, 118585, 118596, 118602, 118613, 118631, 118635, 118636, 118637, 118640, 118643, 118656, 118669, 118684, 118693, 118701, 118711, 118714, 118727, 118735, 118738, 118739, 118751, 118752, 118783, 118789, 118790, 118798, 118817, 118850, 118856, 118863, 118864, 118876, 118882, 118883, 118891, 118905, 118909, 118912, 118914, 118915, 118940, 118948, 118960, 118962, 118963, 118968, 118974, 118986, 119000, 119014, 119017, 119019, 119020, 119022, 119048, 119053, 119054, 119059, 119067, 119091, 119092, 119093, 119111, 119120, 119135, 119174, 119178, 119183, 119184, 119191, 119219, 119220, 119235, 119237, 119244, 119249, 119252, 119254, 119270, 119274, 119282, 119286, 119291, 119295, 119307, 119321, 119333, 119334, 119339, 119368, 119373, 119395, 119410, 119418, 119437, 119446, 119456, 119469, 119472, 119490, 119491, 119500, 119509, 119513, 119520, 119532, 119541, 119549, 119550, 119559, 119563, 119564, 119574, 119582, 119583, 119590, 119599, 119601, 119603, 119609, 119612, 119619, 119625, 119632, 119672, 119676, 119681, 119685, 119686, 119694, 119698, 119700, 119710, 119715, 119729, 119735, 119745, 119746, 119749, 119777, 119791, 119821, 119826, 119855, 119862, 119865, 119870, 119886, 119914, 119915, 119920, 119926, 119932, 119949, 119980, 119988, 119993, 120008, 120030, 120033, 120052, 120077, 120084, 120111, 120116, 120130, 120133, 120134, 120137, 120139, 120142, 120145, 120150, 120159, 120175, 120180, 120184, 120187, 120201, 120206, 120220, 120233, 120234, 120259, 120268, 120272, 120280, 120286, 120288, 120291, 120294, 120297, 120301, 120302, 120316, 120323, 120331, 120360, 120384, 120398, 120409, 120447, 120450, 120455, 120462, 120466, 120473, 120499, 120506, 120509, 120513, 120522, 120523, 120556, 120559, 120563, 120570, 120578, 120580, 120585, 120594, 120606, 120609, 120616, 120628, 120638, 120639, 120647, 120653, 120678, 120681, 120682, 120688, 120692, 120703, 120708, 120718, 120722, 120733, 120742, 120746, 120766, 120779, 120782, 120790, 120813, 120816, 120820, 120822, 120832, 120860, 120871, 120876, 120883, 120894, 120924, 120943, 120944, 120947, 120952, 120964, 120979, 120984, 121001, 121011, 121013, 121028, 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Creating dense tree of order: 24
Printing dense tree. The nodes are printed in DFS format.
Root Node:[100000, 105479, 111629, 117214, 122908, 128711, 134570, 140066, 145584, 151449, 157347, 163643, 169426, 175019, 181020, 186679, 192471]
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[186964, 186972, 186976, 186981, 186987, 187004, 187009, 187025, 187031, 187049, 187061, 187068, 187081, 187084, 187094, 187109, 187116, 187120, 187136, 187160, 187161, 187175, 187191, 187193]
[187197, 187200, 187208, 187209, 187220, 187248, 187271, 187277, 187292, 187294, 187296, 187307, 187309, 187338, 187343, 187358, 187365, 187382, 187415, 187417, 187423, 187425, 187434, 187449]
[187451, 187452, 187485, 187486, 187499, 187517, 187519, 187524, 187526, 187531, 187539, 187550, 187559, 187562, 187573, 187574, 187578, 187583, 187588, 187603, 187617, 187621, 187628, 187638]
[187644, 187655, 187665, 187682, 187685, 187691, 187693, 187712, 187722, 187730, 187734, 187751, 187752, 187764, 187769, 187770, 187786, 187791, 187792, 187802, 187810, 187821, 187847, 187848]
[187868, 187869, 187874, 187881, 187911, 187913, 187917, 187918, 187950, 187954, 187957, 187962, 187963, 188009, 188019, 188024, 188028, 188049, 188050, 188062, 188063, 188066, 188074, 188079]
[188080, 188088, 188107, 188120, 188127, 188137, 188144, 188173, 188179, 188198, 188211, 188233, 188239, 188243, 188248, 188257, 188285, 188296, 188303, 188325, 188339, 188346, 188364, 188371]
[188393, 188402, 188407, 188411, 188414, 188431, 188443, 188451, 188454, 188457, 188462, 188464, 188471, 188480, 188481, 188494, 188521, 188540, 188559, 188562, 188564, 188577, 188584, 188587]
[188606, 188615, 188650, 188657, 188666, 188675, 188695, 188708, 188721, 188729, 188730, 188741, 188744, 188779, 188790, 188798, 188804, 188823, 188833, 188837, 188838, 188844, 188864, 188890]
[188891, 188894, 188908, 188910, 188917, 188925, 188960, 188965, 188966, 188982, 188989, 188997, 189011, 189030, 189040, 189050, 189064, 189084, 189102, 189121, 189135, 189139, 189149, 189158]
[189160, 189161, 189171, 189181, 189183, 189188, 189204, 189205, 189207, 189210, 189257, 189262, 189266, 189275, 189277, 189287, 189303, 189316, 189321, 189326, 189333, 189340, 189352, 189353]
[189365, 189368, 189381, 189387, 189397, 189405, 189413, 189427, 189434, 189449, 189455, 189456, 189474, 189477, 189484, 189500, 189510, 189512, 189518, 189537, 189551, 189555, 189556, 189567]
[189573, 189578, 189581, 189602, 189605, 189608, 189609, 189613, 189637, 189642, 189658, 189660, 189667, 189675, 189719, 189726, 189747, 189756, 189780, 189793, 189795, 189800, 189807, 189808]
[189817, 189825, 189826, 189860, 189863, 189865, 189871, 189880, 189885, 189890, 189893, 189912, 189916, 189920, 189935, 189936, 189939, 189943, 189948, 189952, 189966, 190001, 190029, 190041]
[190053, 190069, 190074, 190077, 190087, 190089, 190097, 190113, 190119, 190125, 190153, 190156, 190167, 190176, 190213, 190236, 190252, 190271, 190277, 190289, 190305, 190307, 190323, 190336]
[190362, 190386, 190394, 190406, 190409, 190420, 190427, 190428, 190433, 190434, 190436, 190437, 190443, 190446, 190448, 190453, 190468, 190492, 190509, 190517, 190563, 190570, 190571, 190574]
[190584, 190586, 190596, 190600, 190608, 190621, 190629, 190631, 190634, 190657, 190663, 190676, 190692, 190695, 190724, 190735, 190766, 190772, 190773, 190774, 190785, 190799, 190851, 190867]
[190876, 190880, 190883, 190884, 190896, 190904, 190906, 190908, 190911, 190920, 190928, 190939, 190941, 190946, 190953, 190955, 190958, 190963, 190974, 190981, 190986, 191013, 191018, 191022]
[191025, 191042, 191064, 191077, 191080, 191082, 191093, 191108, 191112, 191128, 191129, 191130, 191140, 191146, 191161, 191168, 191179, 191186, 191210, 191224, 191226, 191227, 191235, 191246]
[191259, 191267, 191269, 191277, 191286, 191293, 191299, 191304, 191315, 191335, 191357, 191359, 191366, 191378, 191381, 191391, 191418, 191425, 191435, 191437, 191476, 191491, 191494, 191503]
[191506, 191523, 191530, 191539, 191542, 191544, 191548, 191580, 191584, 191608, 191611, 191619, 191638, 191642, 191651, 191725, 191730, 191762, 191784, 191792, 191811, 191821, 191844, 191845]
[191847, 191854, 191855, 191904, 191905, 191908, 191926, 191929, 191930, 191950, 191951, 191956, 191959, 191963, 191985, 191995, 191998, 192014, 192021, 192023, 192026, 192066, 192069, 192093]
[192097, 192107, 192109, 192122, 192126, 192130, 192134, 192138, 192140, 192141, 192167, 192177, 192183, 192185, 192194, 192197, 192203, 192207, 192212, 192219, 192222, 192238, 192241, 192244]
[192246, 192250, 192259, 192261, 192266, 192268, 192271, 192274, 192279, 192309, 192314, 192315, 192366, 192370, 192383, 192406, 192407, 192428, 192435, 192441, 192445, 192450, 192460, 192462]
[192471, 192692, 192893, 193087, 193250, 193456, 193708, 193908, 194124, 194298, 194613, 194849, 195091, 195313, 195536, 195764, 196000, 196271, 196468, 196751, 197010, 197244, 197477, 197768]
[192471, 192492, 192512, 192513, 192521, 192522, 192527, 192533, 192536, 192538, 192552, 192567, 192585, 192586, 192592, 192593, 192610, 192634, 192661, 192662, 192669, 192670, 192689, 192691]
[192692, 192708, 192712, 192725, 192729, 192731, 192743, 192750, 192753, 192759, 192773, 192780, 192783, 192789, 192803, 192806, 192811, 192829, 192857, 192860, 192870, 192876, 192879, 192884]
[192893, 192897, 192905, 192908, 192910, 192919, 192933, 192937, 192943, 192951, 192962, 192970, 192998, 193002, 193007, 193021, 193022, 193044, 193061, 193072, 193081, 193082, 193083, 193085]
[193087, 193089, 193092, 193099, 193108, 193110, 193111, 193119, 193127, 193140, 193143, 193147, 193152, 193165, 193176, 193189, 193194, 193205, 193206, 193207, 193210, 193227, 193231, 193244]
[193250, 193254, 193265, 193273, 193284, 193289, 193302, 193304, 193308, 193310, 193332, 193345, 193358, 193361, 193375, 193382, 193389, 193395, 193421, 193423, 193427, 193439, 193445, 193449]
[193456, 193464, 193467, 193474, 193475, 193477, 193506, 193508, 193515, 193536, 193547, 193576, 193584, 193585, 193610, 193612, 193617, 193629, 193633, 193638, 193646, 193653, 193665, 193676]
[193708, 193709, 193719, 193726, 193729, 193730, 193738, 193742, 193753, 193754, 193756, 193768, 193773, 193790, 193816, 193824, 193826, 193830, 193831, 193842, 193849, 193865, 193874, 193882]
[193908, 193914, 193931, 193939, 193949, 193958, 193959, 193968, 193977, 193990, 193992, 193997, 194000, 194003, 194005, 194009, 194018, 194023, 194042, 194054, 194055, 194060, 194077, 194121]
[194124, 194125, 194129, 194136, 194145, 194166, 194171, 194172, 194178, 194179, 194215, 194224, 194229, 194235, 194236, 194239, 194245, 194247, 194255, 194262, 194264, 194265, 194275, 194280]
[194298, 194300, 194335, 194351, 194360, 194369, 194407, 194415, 194422, 194423, 194435, 194459, 194465, 194474, 194492, 194499, 194517, 194519, 194532, 194534, 194542, 194569, 194591, 194594]
[194613, 194621, 194623, 194638, 194644, 194658, 194673, 194683, 194689, 194691, 194697, 194714, 194747, 194748, 194752, 194764, 194776, 194779, 194797, 194799, 194822, 194832, 194836, 194845]
[194849, 194851, 194854, 194878, 194882, 194887, 194911, 194912, 194916, 194937, 194943, 194958, 194962, 194968, 194984, 195000, 195002, 195010, 195035, 195049, 195054, 195067, 195077, 195082]
[195091, 195098, 195106, 195107, 195116, 195119, 195125, 195144, 195145, 195154, 195161, 195182, 195187, 195194, 195198, 195219, 195232, 195234, 195248, 195255, 195265, 195271, 195288, 195308]
[195313, 195314, 195318, 195319, 195323, 195335, 195366, 195372, 195395, 195401, 195407, 195409, 195412, 195413, 195428, 195431, 195461, 195464, 195467, 195475, 195489, 195508, 195518, 195528]
[195536, 195538, 195558, 195568, 195575, 195581, 195583, 195603, 195607, 195638, 195642, 195661, 195667, 195669, 195678, 195679, 195684, 195688, 195698, 195715, 195720, 195739, 195741, 195749]
[195764, 195768, 195778, 195784, 195805, 195820, 195844, 195850, 195859, 195861, 195876, 195881, 195882, 195887, 195892, 195896, 195917, 195928, 195930, 195937, 195946, 195950, 195961, 195963]
[196000, 196007, 196009, 196018, 196028, 196032, 196034, 196074, 196086, 196089, 196123, 196125, 196136, 196146, 196154, 196164, 196165, 196172, 196200, 196214, 196240, 196242, 196250, 196269]
[196271, 196272, 196278, 196289, 196300, 196305, 196311, 196312, 196314, 196317, 196321, 196326, 196354, 196362, 196367, 196377, 196400, 196402, 196403, 196418, 196420, 196423, 196433, 196466]
[196468, 196479, 196503, 196510, 196512, 196522, 196537, 196545, 196548, 196552, 196562, 196592, 196596, 196598, 196658, 196663, 196694, 196716, 196722, 196725, 196727, 196735, 196740, 196748]
[196751, 196770, 196773, 196783, 196789, 196796, 196808, 196812, 196834, 196887, 196894, 196901, 196904, 196914, 196924, 196926, 196930, 196934, 196938, 196961, 196968, 196972, 196990, 197007]
[197010, 197012, 197014, 197015, 197017, 197048, 197056, 197057, 197084, 197095, 197108, 197134, 197140, 197144, 197146, 197147, 197152, 197157, 197161, 197176, 197197, 197208, 197220, 197240]
[197244, 197245, 197265, 197269, 197291, 197299, 197300, 197311, 197313, 197325, 197337, 197346, 197355, 197361, 197369, 197384, 197390, 197410, 197424, 197440, 197443, 197447, 197457, 197458]
[197477, 197492, 197515, 197520, 197537, 197556, 197568, 197576, 197607, 197623, 197624, 197629, 197641, 197654, 197655, 197675, 197693, 197697, 197707, 197717, 197740, 197748, 197751, 197757]
[197768, 197789, 197843, 197861, 197867, 197876, 197884, 197885, 197888, 197891, 197893, 197898, 197900, 197904, 197917, 197919, 197924, 197926, 197938, 197959, 197971, 197973, 197985, 198014]
**********************************


Experimentation
1. Generating random numbers for experimentation
Random numbers generated: [156356, 118250, 159229, 189560, 101925, 123594, 186759, 140519, 171413, 184302, 180601, 187541, 141642, 181416]
**********************************


2. Performing two random insert operations 
Inserting: 156356
Searching key 156356 in the tree to see if it already exists.
Searching: 156356
Traversing the tree from root node to leaf:
[100000, 105479, 111629, 117214, 122908, 128711, 134570, 140066, 145584, 151449, 157347, 163643, 169426, 175019, 181020, 186679, 192471]
[151449, 151654, 151842, 152031, 152354, 152583, 152853, 153008, 153352, 153630, 153902, 154075, 154353, 154543, 154737, 154971, 155222, 155532, 155801, 156038, 156374, 156586, 156879, 157123]
[156038, 156039, 156042, 156043, 156057, 156065, 156069, 156093, 156112, 156117, 156137, 156149, 156151, 156176, 156219, 156223, 156227, 156246, 156255, 156266, 156293, 156308, 156316, 156372]
Key 156356 does not exist in the tree
The key 156356 that you want to insert is not already in the B+ tree.
Inserting it
Traversing the tree to insert key 
Root Node: [100000, 105479, 111629, 117214, 122908, 128711, 134570, 140066, 145584, 151449, 157347, 163643, 169426, 175019, 181020, 186679, 192471]
Level1: [151449, 151654, 151842, 152031, 152354, 152583, 152853, 153008, 153352, 153630, 153902, 154075, 154353, 154543, 154737, 154971, 155222, 155532, 155801, 156038, 156374, 156586, 156879, 157123]
Level2: [156038, 156039, 156042, 156043, 156057, 156065, 156069, 156093, 156112, 156117, 156137, 156149, 156151, 156176, 156219, 156223, 156227, 156246, 156255, 156266, 156293, 156308, 156316, 156372]
Inserting 156356 in leaf node [156038, 156039, 156042, 156043, 156057, 156065, 156069, 156093, 156112, 156117, 156137, 156149, 156151, 156176, 156219, 156223, 156227, 156246, 156255, 156266, 156293, 156308, 156316, 156372]
After inserting: [156038, 156039, 156042, 156043, 156057, 156065, 156069, 156093, 156112, 156117, 156137, 156149, 156151, 156176, 156219, 156223, 156227, 156246, 156255, 156266, 156293, 156308, 156316, 156356, 156372]
156356 has been inserted in the tree.
Leaf node is full after insertion. Splitting leaf node to accomodate future keys
Splitting leaf node: [156038, 156039, 156042, 156043, 156057, 156065, 156069, 156093, 156112, 156117, 156137, 156149, 156151, 156176, 156219, 156223, 156227, 156246, 156255, 156266, 156293, 156308, 156316, 156356, 156372]
Leaf node before splitting: [156038, 156039, 156042, 156043, 156057, 156065, 156069, 156093, 156112, 156117, 156137, 156149, 156151, 156176, 156219, 156223, 156227, 156246, 156255, 156266, 156293, 156308, 156316, 156356, 156372]

Leaf node after splitting
Left Split keys: [156038, 156039, 156042, 156043, 156057, 156065, 156069, 156093, 156112, 156117, 156137, 156149]
Right split keys: [156151, 156176, 156219, 156223, 156227, 156246, 156255, 156266, 156293, 156308, 156316, 156356, 156372]

Restructuring parent(internal) nodes
Merging Nodes: [151449, 151654, 151842, 152031, 152354, 152583, 152853, 153008, 153352, 153630, 153902, 154075, 154353, 154543, 154737, 154971, 155222, 155532, 155801, 156038, 156374, 156586, 156879, 157123] and [156151]
Merged Node: [151449, 151654, 151842, 152031, 152354, 152583, 152853, 153008, 153352, 153630, 153902, 154075, 154353, 154543, 154737, 154971, 155222, 155532, 155801, 156038, 156151, 156374, 156586, 156879, 157123]

Merged internal node is full. Splitting the node: [151449, 151654, 151842, 152031, 152354, 152583, 152853, 153008, 153352, 153630, 153902, 154075, 154353, 154543, 154737, 154971, 155222, 155532, 155801, 156038, 156151, 156374, 156586, 156879, 157123]
Merged node after splitting
Left Split keys: [151449, 151654, 151842, 152031, 152354, 152583, 152853, 153008, 153352, 153630, 153902, 154075]
Right Split keys: [154353, 154543, 154737, 154971, 155222, 155532, 155801, 156038, 156151, 156374, 156586, 156879, 157123]

Restructuring parent(internal) nodes
Merging Nodes: [100000, 105479, 111629, 117214, 122908, 128711, 134570, 140066, 145584, 151449, 157347, 163643, 169426, 175019, 181020, 186679, 192471] and [154353]
Merged Node: [100000, 105479, 111629, 117214, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 175019, 181020, 186679, 192471]

**********************************


**********************************


Inserting: 118250
Searching key 118250 in the tree to see if it already exists.
Searching: 118250
Traversing the tree from root node to leaf:
[100000, 105479, 111629, 117214, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 175019, 181020, 186679, 192471]
[117214, 117445, 117638, 117961, 118229, 118514, 118727, 118940, 119135, 119339, 119574, 119745, 120052, 120268, 120506, 120688, 120943, 121161, 121518, 121752, 121920, 122136, 122409, 122710]
[118229, 118232, 118236, 118273, 118279, 118280, 118289, 118294, 118330, 118340, 118369, 118371, 118383, 118411, 118416, 118426, 118439, 118444, 118466, 118473, 118488, 118492, 118501, 118504]
Key 118250 does not exist in the tree
The key 118250 that you want to insert is not already in the B+ tree.
Inserting it
Traversing the tree to insert key 
Root Node: [100000, 105479, 111629, 117214, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 175019, 181020, 186679, 192471]
Level1: [117214, 117445, 117638, 117961, 118229, 118514, 118727, 118940, 119135, 119339, 119574, 119745, 120052, 120268, 120506, 120688, 120943, 121161, 121518, 121752, 121920, 122136, 122409, 122710]
Level2: [118229, 118232, 118236, 118273, 118279, 118280, 118289, 118294, 118330, 118340, 118369, 118371, 118383, 118411, 118416, 118426, 118439, 118444, 118466, 118473, 118488, 118492, 118501, 118504]
Inserting 118250 in leaf node [118229, 118232, 118236, 118273, 118279, 118280, 118289, 118294, 118330, 118340, 118369, 118371, 118383, 118411, 118416, 118426, 118439, 118444, 118466, 118473, 118488, 118492, 118501, 118504]
After inserting: [118229, 118232, 118236, 118250, 118273, 118279, 118280, 118289, 118294, 118330, 118340, 118369, 118371, 118383, 118411, 118416, 118426, 118439, 118444, 118466, 118473, 118488, 118492, 118501, 118504]
118250 has been inserted in the tree.
Leaf node is full after insertion. Splitting leaf node to accomodate future keys
Splitting leaf node: [118229, 118232, 118236, 118250, 118273, 118279, 118280, 118289, 118294, 118330, 118340, 118369, 118371, 118383, 118411, 118416, 118426, 118439, 118444, 118466, 118473, 118488, 118492, 118501, 118504]
Leaf node before splitting: [118229, 118232, 118236, 118250, 118273, 118279, 118280, 118289, 118294, 118330, 118340, 118369, 118371, 118383, 118411, 118416, 118426, 118439, 118444, 118466, 118473, 118488, 118492, 118501, 118504]

Leaf node after splitting
Left Split keys: [118229, 118232, 118236, 118250, 118273, 118279, 118280, 118289, 118294, 118330, 118340, 118369]
Right split keys: [118371, 118383, 118411, 118416, 118426, 118439, 118444, 118466, 118473, 118488, 118492, 118501, 118504]

Restructuring parent(internal) nodes
Merging Nodes: [117214, 117445, 117638, 117961, 118229, 118514, 118727, 118940, 119135, 119339, 119574, 119745, 120052, 120268, 120506, 120688, 120943, 121161, 121518, 121752, 121920, 122136, 122409, 122710] and [118371]
Merged Node: [117214, 117445, 117638, 117961, 118229, 118371, 118514, 118727, 118940, 119135, 119339, 119574, 119745, 120052, 120268, 120506, 120688, 120943, 121161, 121518, 121752, 121920, 122136, 122409, 122710]

Merged internal node is full. Splitting the node: [117214, 117445, 117638, 117961, 118229, 118371, 118514, 118727, 118940, 119135, 119339, 119574, 119745, 120052, 120268, 120506, 120688, 120943, 121161, 121518, 121752, 121920, 122136, 122409, 122710]
Merged node after splitting
Left Split keys: [117214, 117445, 117638, 117961, 118229, 118371, 118514, 118727, 118940, 119135, 119339, 119574]
Right Split keys: [119745, 120052, 120268, 120506, 120688, 120943, 121161, 121518, 121752, 121920, 122136, 122409, 122710]

Restructuring parent(internal) nodes
Merging Nodes: [100000, 105479, 111629, 117214, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 175019, 181020, 186679, 192471] and [119745]
Merged Node: [100000, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 175019, 181020, 186679, 192471]

**********************************


**********************************


3. Performing random delete operations 
Deleting key: 159229
The key159229 that you want to delete does not exist in the tree
**********************************


Deleting key: 189560
The key189560 that you want to delete does not exist in the tree
**********************************


4. Performing random insert/deletion operations 
Inserting: 101925
Searching key 101925 in the tree to see if it already exists.
Searching: 101925
Traversing the tree from root node to leaf:
[100000, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 175019, 181020, 186679, 192471]
[100000, 100192, 100370, 100614, 100852, 101114, 101321, 101526, 101747, 102006, 102297, 102537, 102753, 102968, 103226, 103494, 103803, 104094, 104296, 104473, 104678, 104887, 105127, 105322]
[101747, 101748, 101755, 101787, 101789, 101796, 101841, 101859, 101862, 101863, 101899, 101904, 101911, 101917, 101920, 101930, 101938, 101947, 101960, 101962, 101971, 101989, 101994, 101997]
Key 101925 does not exist in the tree
The key 101925 that you want to insert is not already in the B+ tree.
Inserting it
Traversing the tree to insert key 
Root Node: [100000, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 175019, 181020, 186679, 192471]
Level1: [100000, 100192, 100370, 100614, 100852, 101114, 101321, 101526, 101747, 102006, 102297, 102537, 102753, 102968, 103226, 103494, 103803, 104094, 104296, 104473, 104678, 104887, 105127, 105322]
Level2: [101747, 101748, 101755, 101787, 101789, 101796, 101841, 101859, 101862, 101863, 101899, 101904, 101911, 101917, 101920, 101930, 101938, 101947, 101960, 101962, 101971, 101989, 101994, 101997]
Inserting 101925 in leaf node [101747, 101748, 101755, 101787, 101789, 101796, 101841, 101859, 101862, 101863, 101899, 101904, 101911, 101917, 101920, 101930, 101938, 101947, 101960, 101962, 101971, 101989, 101994, 101997]
After inserting: [101747, 101748, 101755, 101787, 101789, 101796, 101841, 101859, 101862, 101863, 101899, 101904, 101911, 101917, 101920, 101925, 101930, 101938, 101947, 101960, 101962, 101971, 101989, 101994, 101997]
101925 has been inserted in the tree.
Leaf node is full after insertion. Splitting leaf node to accomodate future keys
Splitting leaf node: [101747, 101748, 101755, 101787, 101789, 101796, 101841, 101859, 101862, 101863, 101899, 101904, 101911, 101917, 101920, 101925, 101930, 101938, 101947, 101960, 101962, 101971, 101989, 101994, 101997]
Leaf node before splitting: [101747, 101748, 101755, 101787, 101789, 101796, 101841, 101859, 101862, 101863, 101899, 101904, 101911, 101917, 101920, 101925, 101930, 101938, 101947, 101960, 101962, 101971, 101989, 101994, 101997]

Leaf node after splitting
Left Split keys: [101747, 101748, 101755, 101787, 101789, 101796, 101841, 101859, 101862, 101863, 101899, 101904]
Right split keys: [101911, 101917, 101920, 101925, 101930, 101938, 101947, 101960, 101962, 101971, 101989, 101994, 101997]

Restructuring parent(internal) nodes
Merging Nodes: [100000, 100192, 100370, 100614, 100852, 101114, 101321, 101526, 101747, 102006, 102297, 102537, 102753, 102968, 103226, 103494, 103803, 104094, 104296, 104473, 104678, 104887, 105127, 105322] and [101911]
Merged Node: [100000, 100192, 100370, 100614, 100852, 101114, 101321, 101526, 101747, 101911, 102006, 102297, 102537, 102753, 102968, 103226, 103494, 103803, 104094, 104296, 104473, 104678, 104887, 105127, 105322]

Merged internal node is full. Splitting the node: [100000, 100192, 100370, 100614, 100852, 101114, 101321, 101526, 101747, 101911, 102006, 102297, 102537, 102753, 102968, 103226, 103494, 103803, 104094, 104296, 104473, 104678, 104887, 105127, 105322]
Merged node after splitting
Left Split keys: [100000, 100192, 100370, 100614, 100852, 101114, 101321, 101526, 101747, 101911, 102006, 102297]
Right Split keys: [102537, 102753, 102968, 103226, 103494, 103803, 104094, 104296, 104473, 104678, 104887, 105127, 105322]

Restructuring parent(internal) nodes
Merging Nodes: [100000, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 175019, 181020, 186679, 192471] and [102537]
Merged Node: [100000, 102537, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 175019, 181020, 186679, 192471]

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Deleting key: 123594
The key123594 that you want to delete does not exist in the tree
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Inserting: 186759
Searching key 186759 in the tree to see if it already exists.
Searching: 186759
Traversing the tree from root node to leaf:
[100000, 102537, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 175019, 181020, 186679, 192471]
[186679, 186964, 187197, 187451, 187644, 187868, 188080, 188393, 188606, 188891, 189160, 189365, 189573, 189817, 190053, 190362, 190584, 190876, 191025, 191259, 191506, 191847, 192097, 192246]
[186679, 186689, 186691, 186702, 186708, 186710, 186711, 186730, 186731, 186735, 186752, 186756, 186767, 186775, 186793, 186797, 186807, 186837, 186843, 186856, 186862, 186917, 186919, 186923]
Key 186759 does not exist in the tree
The key 186759 that you want to insert is not already in the B+ tree.
Inserting it
Traversing the tree to insert key 
Root Node: [100000, 102537, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 175019, 181020, 186679, 192471]
Level1: [186679, 186964, 187197, 187451, 187644, 187868, 188080, 188393, 188606, 188891, 189160, 189365, 189573, 189817, 190053, 190362, 190584, 190876, 191025, 191259, 191506, 191847, 192097, 192246]
Level2: [186679, 186689, 186691, 186702, 186708, 186710, 186711, 186730, 186731, 186735, 186752, 186756, 186767, 186775, 186793, 186797, 186807, 186837, 186843, 186856, 186862, 186917, 186919, 186923]
Inserting 186759 in leaf node [186679, 186689, 186691, 186702, 186708, 186710, 186711, 186730, 186731, 186735, 186752, 186756, 186767, 186775, 186793, 186797, 186807, 186837, 186843, 186856, 186862, 186917, 186919, 186923]
After inserting: [186679, 186689, 186691, 186702, 186708, 186710, 186711, 186730, 186731, 186735, 186752, 186756, 186759, 186767, 186775, 186793, 186797, 186807, 186837, 186843, 186856, 186862, 186917, 186919, 186923]
186759 has been inserted in the tree.
Leaf node is full after insertion. Splitting leaf node to accomodate future keys
Splitting leaf node: [186679, 186689, 186691, 186702, 186708, 186710, 186711, 186730, 186731, 186735, 186752, 186756, 186759, 186767, 186775, 186793, 186797, 186807, 186837, 186843, 186856, 186862, 186917, 186919, 186923]
Leaf node before splitting: [186679, 186689, 186691, 186702, 186708, 186710, 186711, 186730, 186731, 186735, 186752, 186756, 186759, 186767, 186775, 186793, 186797, 186807, 186837, 186843, 186856, 186862, 186917, 186919, 186923]

Leaf node after splitting
Left Split keys: [186679, 186689, 186691, 186702, 186708, 186710, 186711, 186730, 186731, 186735, 186752, 186756]
Right split keys: [186759, 186767, 186775, 186793, 186797, 186807, 186837, 186843, 186856, 186862, 186917, 186919, 186923]

Restructuring parent(internal) nodes
Merging Nodes: [186679, 186964, 187197, 187451, 187644, 187868, 188080, 188393, 188606, 188891, 189160, 189365, 189573, 189817, 190053, 190362, 190584, 190876, 191025, 191259, 191506, 191847, 192097, 192246] and [186759]
Merged Node: [186679, 186759, 186964, 187197, 187451, 187644, 187868, 188080, 188393, 188606, 188891, 189160, 189365, 189573, 189817, 190053, 190362, 190584, 190876, 191025, 191259, 191506, 191847, 192097, 192246]

Merged internal node is full. Splitting the node: [186679, 186759, 186964, 187197, 187451, 187644, 187868, 188080, 188393, 188606, 188891, 189160, 189365, 189573, 189817, 190053, 190362, 190584, 190876, 191025, 191259, 191506, 191847, 192097, 192246]
Merged node after splitting
Left Split keys: [186679, 186759, 186964, 187197, 187451, 187644, 187868, 188080, 188393, 188606, 188891, 189160]
Right Split keys: [189365, 189573, 189817, 190053, 190362, 190584, 190876, 191025, 191259, 191506, 191847, 192097, 192246]

Restructuring parent(internal) nodes
Merging Nodes: [100000, 102537, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 175019, 181020, 186679, 192471] and [189365]
Merged Node: [100000, 102537, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 175019, 181020, 186679, 189365, 192471]

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Deleting key: 140519
The key140519 that you want to delete does not exist in the tree
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Inserting: 171413
Searching key 171413 in the tree to see if it already exists.
Searching: 171413
Traversing the tree from root node to leaf:
[100000, 102537, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 175019, 181020, 186679, 189365, 192471]
[169426, 169673, 169934, 170155, 170362, 170589, 170846, 171001, 171306, 171575, 171757, 171979, 172218, 172446, 172661, 172857, 173193, 173397, 173596, 173798, 173997, 174235, 174511, 174763]
[171306, 171314, 171354, 171359, 171393, 171399, 171404, 171432, 171457, 171461, 171473, 171477, 171479, 171504, 171513, 171522, 171551, 171552, 171553, 171556, 171564, 171566, 171571, 171572]
Key 171413 does not exist in the tree
The key 171413 that you want to insert is not already in the B+ tree.
Inserting it
Traversing the tree to insert key 
Root Node: [100000, 102537, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 175019, 181020, 186679, 189365, 192471]
Level1: [169426, 169673, 169934, 170155, 170362, 170589, 170846, 171001, 171306, 171575, 171757, 171979, 172218, 172446, 172661, 172857, 173193, 173397, 173596, 173798, 173997, 174235, 174511, 174763]
Level2: [171306, 171314, 171354, 171359, 171393, 171399, 171404, 171432, 171457, 171461, 171473, 171477, 171479, 171504, 171513, 171522, 171551, 171552, 171553, 171556, 171564, 171566, 171571, 171572]
Inserting 171413 in leaf node [171306, 171314, 171354, 171359, 171393, 171399, 171404, 171432, 171457, 171461, 171473, 171477, 171479, 171504, 171513, 171522, 171551, 171552, 171553, 171556, 171564, 171566, 171571, 171572]
After inserting: [171306, 171314, 171354, 171359, 171393, 171399, 171404, 171413, 171432, 171457, 171461, 171473, 171477, 171479, 171504, 171513, 171522, 171551, 171552, 171553, 171556, 171564, 171566, 171571, 171572]
171413 has been inserted in the tree.
Leaf node is full after insertion. Splitting leaf node to accomodate future keys
Splitting leaf node: [171306, 171314, 171354, 171359, 171393, 171399, 171404, 171413, 171432, 171457, 171461, 171473, 171477, 171479, 171504, 171513, 171522, 171551, 171552, 171553, 171556, 171564, 171566, 171571, 171572]
Leaf node before splitting: [171306, 171314, 171354, 171359, 171393, 171399, 171404, 171413, 171432, 171457, 171461, 171473, 171477, 171479, 171504, 171513, 171522, 171551, 171552, 171553, 171556, 171564, 171566, 171571, 171572]

Leaf node after splitting
Left Split keys: [171306, 171314, 171354, 171359, 171393, 171399, 171404, 171413, 171432, 171457, 171461, 171473]
Right split keys: [171477, 171479, 171504, 171513, 171522, 171551, 171552, 171553, 171556, 171564, 171566, 171571, 171572]

Restructuring parent(internal) nodes
Merging Nodes: [169426, 169673, 169934, 170155, 170362, 170589, 170846, 171001, 171306, 171575, 171757, 171979, 172218, 172446, 172661, 172857, 173193, 173397, 173596, 173798, 173997, 174235, 174511, 174763] and [171477]
Merged Node: [169426, 169673, 169934, 170155, 170362, 170589, 170846, 171001, 171306, 171477, 171575, 171757, 171979, 172218, 172446, 172661, 172857, 173193, 173397, 173596, 173798, 173997, 174235, 174511, 174763]

Merged internal node is full. Splitting the node: [169426, 169673, 169934, 170155, 170362, 170589, 170846, 171001, 171306, 171477, 171575, 171757, 171979, 172218, 172446, 172661, 172857, 173193, 173397, 173596, 173798, 173997, 174235, 174511, 174763]
Merged node after splitting
Left Split keys: [169426, 169673, 169934, 170155, 170362, 170589, 170846, 171001, 171306, 171477, 171575, 171757]
Right Split keys: [171979, 172218, 172446, 172661, 172857, 173193, 173397, 173596, 173798, 173997, 174235, 174511, 174763]

Restructuring parent(internal) nodes
Merging Nodes: [100000, 102537, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 175019, 181020, 186679, 189365, 192471] and [171979]
Merged Node: [100000, 102537, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 171979, 175019, 181020, 186679, 189365, 192471]

**********************************


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5. Performing random search operations 
Searching: 184302
Traversing the tree from root node to leaf:
[100000, 102537, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 171979, 175019, 181020, 186679, 189365, 192471]
[181020, 181236, 181494, 181759, 182031, 182270, 182509, 182683, 182989, 183140, 183316, 183521, 183788, 184020, 184203, 184514, 184750, 184955, 185180, 185567, 185767, 186059, 186235, 186433]
[184203, 184208, 184244, 184261, 184276, 184295, 184297, 184306, 184334, 184351, 184352, 184359, 184361, 184362, 184365, 184387, 184395, 184443, 184454, 184461, 184466, 184477, 184503, 184508]
Key 184302 does not exist in the tree
**********************************

Searching: 180601
Traversing the tree from root node to leaf:
[100000, 102537, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 171979, 175019, 181020, 186679, 189365, 192471]
[175019, 175244, 175506, 175694, 175865, 176128, 176350, 176557, 176779, 177085, 177427, 177725, 178134, 178461, 178654, 178917, 179119, 179366, 179620, 179868, 180034, 180272, 180512, 180798]
[180512, 180518, 180543, 180562, 180574, 180595, 180617, 180622, 180623, 180626, 180645, 180646, 180650, 180657, 180661, 180662, 180670, 180681, 180704, 180705, 180714, 180739, 180742, 180747]
Key 180601 does not exist in the tree
**********************************

Searching: 187541
Traversing the tree from root node to leaf:
[100000, 102537, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 171979, 175019, 181020, 186679, 189365, 192471]
[186679, 186759, 186964, 187197, 187451, 187644, 187868, 188080, 188393, 188606, 188891, 189160]
[187451, 187452, 187485, 187486, 187499, 187517, 187519, 187524, 187526, 187531, 187539, 187550, 187559, 187562, 187573, 187574, 187578, 187583, 187588, 187603, 187617, 187621, 187628, 187638]
Key 187541 does not exist in the tree
**********************************

Searching: 141642
Traversing the tree from root node to leaf:
[100000, 102537, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 171979, 175019, 181020, 186679, 189365, 192471]
[140066, 140263, 140545, 140776, 141048, 141271, 141489, 141758, 141950, 142200, 142454, 142630, 142860, 143125, 143339, 143505, 143705, 143965, 144224, 144459, 144656, 144934, 145134, 145345]
[141489, 141518, 141520, 141529, 141531, 141565, 141611, 141633, 141648, 141665, 141666, 141667, 141668, 141670, 141679, 141686, 141687, 141698, 141701, 141708, 141713, 141716, 141741, 141753]
Key 141642 does not exist in the tree
**********************************

Searching: 181416
Traversing the tree from root node to leaf:
[100000, 102537, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 171979, 175019, 181020, 186679, 189365, 192471]
[181020, 181236, 181494, 181759, 182031, 182270, 182509, 182683, 182989, 183140, 183316, 183521, 183788, 184020, 184203, 184514, 184750, 184955, 185180, 185567, 185767, 186059, 186235, 186433]
[181236, 181240, 181281, 181289, 181290, 181294, 181307, 181328, 181341, 181346, 181354, 181364, 181370, 181381, 181384, 181418, 181419, 181433, 181434, 181436, 181462, 181489, 181491, 181493]
Key 181416 does not exist in the tree
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6. Performing two random range search operations 
Searching in the range: 122017, 371627
Keys within the range: 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Searching in the range: 139018, 146159
Keys within the range: 139027,139041,139049,139065,139067,139090,139092,139119,139132,139136,139139,139143,139149,139150,139151,139163,139166,139173,139179,139186,139201,139205,139215,139218,139225,139229,139234,139256,139259,139263,139269,139293,139301,139302,139303,139308,139323,139325,139336,139345,139375,139382,139390,139432,139437,139438,139447,139476,139486,139488,139501,139505,139506,139510,139515,139520,139522,139533,139541,139546,139559,139568,139572,139575,139592,139598,139612,139618,139637,139638,139641,139644,139687,139688,139708,139713,139731,139735,139737,139745,139753,139761,139771,139775,139788,139804,139805,139819,139823,139829,139840,139854,139857,139862,139881,139893,139896,139903,139913,139916,139917,139927,139941,139962,139971,139972,139974,139983,139985,139988,139991,139993,139996,140008,140013,140018,140020,140025,140036,140037,140038,140039,140040,140041,140048,140053,140060,140066,140068,140072,140082,140099,140100,140101,140103,140105,140107,140116,140118,140127,140145,140158,140172,140174,140178,140193,140198,140210,140229,140230,140240,140263,140265,140271,140274,140278,140283,140284,140340,140342,140356,140379,140390,140414,140417,140432,140437,140440,140441,140455,140464,140477,140479,140488,140532,140545,140570,140587,140602,140603,140624,140628,140631,140660,140667,140689,140694,140715,140716,140718,140732,140734,140738,140746,140747,140749,140753,140763,140766,140776,140799,140824,140831,140832,140862,140864,140903,140910,140912,140919,140926,140928,140931,140941,140946,140953,140964,140969,140970,140987,141016,141027,141035,141048,141055,141057,141076,141077,141085,141092,141098,141100,141103,141117,141120,141128,141130,141135,141145,141185,141188,141193,141195,141228,141241,141255,141263,141271,141272,141280,141297,141309,141312,141328,141335,141355,141357,141360,141361,141367,141376,141377,141381,141388,141394,141398,141403,141413,141431,141440,141463,141489,141518,141520,141529,141531,141565,141611,141633,141648,141665,141666,141667,141668,141670,141679,141686,141687,141698,141701,141708,141713,141716,141741,141753,141758,141766,141768,141772,141775,141776,141785,141793,141805,141806,141810,141811,141831,141842,141847,141856,141869,141873,141885,141895,141907,141920,141932,141934,141950,141961,141977,141989,141990,141995,141997,141998,141999,142010,142028,142041,142060,142087,142100,142122,142124,142144,142159,142166,142173,142184,142192,142198,142200,142203,142205,142221,142228,142232,142251,142263,142265,142276,142281,142294,142297,142312,142314,142315,142326,142362,142377,142390,142397,142419,142423,142437,142454,142466,142472,142490,142493,142500,142526,142529,142535,142537,142539,142544,142545,142549,142552,142563,142566,142571,142584,142592,142594,142596,142625,142627,142630,142642,142644,142648,142653,142685,142687,142692,142699,142706,142715,142719,142725,142730,142746,142754,142761,142776,142786,142810,142825,142834,142838,142843,142860,142862,142864,142865,142875,142886,142905,142924,142926,142940,142959,142977,142989,142992,143000,143008,143029,143034,143041,143044,143056,143087,143103,143116,143125,143132,143158,143163,143181,143183,143186,143187,143192,143194,143217,143227,143236,143238,143244,143248,143267,143271,143277,143308,143314,143327,143329,143333,143339,143341,143349,143353,143354,143362,143363,143370,143375,143379,143382,143383,143387,143389,143391,143399,143403,143409,143418,143430,143435,143461,143463,143466,143505,143507,143514,143538,143544,143561,143582,143593,143595,143597,143599,143619,143627,143629,143649,143650,143655,143656,143669,143671,143677,143692,143700,143703,143705,143711,143714,143721,143765,143776,143783,143796,143801,143811,143832,143841,143853,143861,143862,143886,143896,143897,143903,143906,143924,143950,143957,143964,143965,143977,143990,144001,144002,144013,144052,144061,144064,144082,144084,144087,144095,144107,144111,144114,144116,144126,144128,144137,144147,144173,144185,144192,144224,144228,144233,144247,144263,144270,144286,144301,144303,144316,144324,144327,144336,144345,144356,144362,144365,144374,144381,144392,144414,144440,144447,144457,144459,144473,144477,144486,144500,144503,144505,144510,144526,144527,144537,144541,144548,144559,144564,144580,144581,144589,144609,144614,144626,144627,144637,144655,144656,144669,144675,144676,144688,144702,144710,144728,144731,144733,144738,144743,144745,144752,144762,144819,144821,144845,144892,144895,144906,144915,144918,144928,144934,144942,144944,144947,144966,144967,144969,144978,144980,145010,145012,145016,145030,145037,145051,145075,145078,145085,145093,145113,145117,145124,145127,145128,145134,145137,145143,145147,145160,145188,145195,145204,145220,145224,145226,145246,145251,145257,145267,145277,145279,145282,145290,145303,145306,145311,145317,145337,145345,145348,145349,145363,145367,145382,145385,145388,145400,145406,145415,145421,145438,145439,145456,145457,145494,145498,145510,145554,145561,145565,145576,145577,145584,145588,145590,145595,145599,145600,145603,145634,145635,145646,145662,145668,145689,145698,145706,145711,145712,145714,145715,145719,145722,145742,145749,145754,145755,145756,145803,145814,145839,145852,145872,145908,145910,145927,145928,145929,145934,145936,145953,145959,145962,145974,145981,145988,145996,146019,146023,146028,146046,146052,146056,146058,146067,146089,146113,146125,146130,146134,146143,146150,


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More Experimentation
Generating a random number
Random number generated: [144241]
1.1. Inserting: 144241
Inserting: 144241
Searching key 144241 in the tree to see if it already exists.
Searching: 144241
Traversing the tree from root node to leaf:
[100000, 102537, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 171979, 175019, 181020, 186679, 189365, 192471]
[140066, 140263, 140545, 140776, 141048, 141271, 141489, 141758, 141950, 142200, 142454, 142630, 142860, 143125, 143339, 143505, 143705, 143965, 144224, 144459, 144656, 144934, 145134, 145345]
[144224, 144228, 144233, 144247, 144263, 144270, 144286, 144301, 144303, 144316, 144324, 144327, 144336, 144345, 144356, 144362, 144365, 144374, 144381, 144392, 144414, 144440, 144447, 144457]
Key 144241 does not exist in the tree
The key 144241 that you want to insert is not already in the B+ tree.
Inserting it
Traversing the tree to insert key 
Root Node: [100000, 102537, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 171979, 175019, 181020, 186679, 189365, 192471]
Level1: [140066, 140263, 140545, 140776, 141048, 141271, 141489, 141758, 141950, 142200, 142454, 142630, 142860, 143125, 143339, 143505, 143705, 143965, 144224, 144459, 144656, 144934, 145134, 145345]
Level2: [144224, 144228, 144233, 144247, 144263, 144270, 144286, 144301, 144303, 144316, 144324, 144327, 144336, 144345, 144356, 144362, 144365, 144374, 144381, 144392, 144414, 144440, 144447, 144457]
Inserting 144241 in leaf node [144224, 144228, 144233, 144247, 144263, 144270, 144286, 144301, 144303, 144316, 144324, 144327, 144336, 144345, 144356, 144362, 144365, 144374, 144381, 144392, 144414, 144440, 144447, 144457]
After inserting: [144224, 144228, 144233, 144241, 144247, 144263, 144270, 144286, 144301, 144303, 144316, 144324, 144327, 144336, 144345, 144356, 144362, 144365, 144374, 144381, 144392, 144414, 144440, 144447, 144457]
144241 has been inserted in the tree.
Leaf node is full after insertion. Splitting leaf node to accomodate future keys
Splitting leaf node: [144224, 144228, 144233, 144241, 144247, 144263, 144270, 144286, 144301, 144303, 144316, 144324, 144327, 144336, 144345, 144356, 144362, 144365, 144374, 144381, 144392, 144414, 144440, 144447, 144457]
Leaf node before splitting: [144224, 144228, 144233, 144241, 144247, 144263, 144270, 144286, 144301, 144303, 144316, 144324, 144327, 144336, 144345, 144356, 144362, 144365, 144374, 144381, 144392, 144414, 144440, 144447, 144457]

Leaf node after splitting
Left Split keys: [144224, 144228, 144233, 144241, 144247, 144263, 144270, 144286, 144301, 144303, 144316, 144324]
Right split keys: [144327, 144336, 144345, 144356, 144362, 144365, 144374, 144381, 144392, 144414, 144440, 144447, 144457]

Restructuring parent(internal) nodes
Merging Nodes: [140066, 140263, 140545, 140776, 141048, 141271, 141489, 141758, 141950, 142200, 142454, 142630, 142860, 143125, 143339, 143505, 143705, 143965, 144224, 144459, 144656, 144934, 145134, 145345] and [144327]
Merged Node: [140066, 140263, 140545, 140776, 141048, 141271, 141489, 141758, 141950, 142200, 142454, 142630, 142860, 143125, 143339, 143505, 143705, 143965, 144224, 144327, 144459, 144656, 144934, 145134, 145345]

Merged internal node is full. Splitting the node: [140066, 140263, 140545, 140776, 141048, 141271, 141489, 141758, 141950, 142200, 142454, 142630, 142860, 143125, 143339, 143505, 143705, 143965, 144224, 144327, 144459, 144656, 144934, 145134, 145345]
Merged node after splitting
Left Split keys: [140066, 140263, 140545, 140776, 141048, 141271, 141489, 141758, 141950, 142200, 142454, 142630]
Right Split keys: [142860, 143125, 143339, 143505, 143705, 143965, 144224, 144327, 144459, 144656, 144934, 145134, 145345]

Restructuring parent(internal) nodes
Merging Nodes: [100000, 102537, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 145584, 151449, 154353, 157347, 163643, 169426, 171979, 175019, 181020, 186679, 189365, 192471] and [142860]
Merged Node: [100000, 102537, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 142860, 145584, 151449, 154353, 157347, 163643, 169426, 171979, 175019, 181020, 186679, 189365, 192471]

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1.2. Re - inserting: 144241
Inserting: 144241
Searching key 144241 in the tree to see if it already exists.
Searching: 144241
Traversing the tree from root node to leaf:
[100000, 102537, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 142860, 145584, 151449, 154353, 157347, 163643, 169426, 171979, 175019, 181020, 186679, 189365, 192471]
[142860, 143125, 143339, 143505, 143705, 143965, 144224, 144327, 144459, 144656, 144934, 145134, 145345]
[144224, 144228, 144233, 144241, 144247, 144263, 144270, 144286, 144301, 144303, 144316, 144324]
Key 144241 exists in the tree
The key 144241 that you want to insert already exists in the B+ tree.
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1.3. Searching: 144241
Searching: 144241
Traversing the tree from root node to leaf:
[100000, 102537, 105479, 111629, 117214, 119745, 122908, 128711, 134570, 140066, 142860, 145584, 151449, 154353, 157347, 163643, 169426, 171979, 175019, 181020, 186679, 189365, 192471]
[142860, 143125, 143339, 143505, 143705, 143965, 144224, 144327, 144459, 144656, 144934, 145134, 145345]
[144224, 144228, 144233, 144241, 144247, 144263, 144270, 144286, 144301, 144303, 144316, 144324]
Key 144241 exists in the tree
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1.4. Deleting: 144241
Deleting key: 144241
Node before deleting: [144224, 144228, 144233, 144241, 144247, 144263, 144270, 144286, 144301, 144303, 144316, 144324]
Node after deleting: [144224, 144228, 144233, 144247, 144263, 144270, 144286, 144301, 144303, 144316, 144324]
Key deletion completed
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Leaf node has number of keys below minimum. And it can borrow from previous sibling without making it subminimum.
Leaf node before borrowing fom previous sibling: [144224, 144228, 144233, 144247, 144263, 144270, 144286, 144301, 144303, 144316, 144324]
Leaf node after borrowing fom previous sibling: [144192, 144224, 144228, 144233, 144247, 144263, 144270, 144286, 144301, 144303, 144316, 144324]
It's parent node before update: [142860, 143125, 143339, 143505, 143705, 143965, 144224, 144327, 144459, 144656, 144934, 145134, 145345]
It's parent node updated to: [142860, 143125, 143339, 143505, 143705, 143965, 144192, 144327, 144459, 144656, 144934, 145134, 145345]
The previous sibling before giving a key: [143965, 143977, 143990, 144001, 144002, 144013, 144052, 144061, 144064, 144082, 144084, 144087, 144095, 144107, 144111, 144114, 144116, 144126, 144128, 144137, 144147, 144173, 144185, 144192]
The previous sibling after giving a key: [143965, 143977, 143990, 144001, 144002, 144013, 144052, 144061, 144064, 144082, 144084, 144087, 144095, 144107, 144111, 144114, 144116, 144126, 144128, 144137, 144147, 144173, 144185]
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Deletion operation complete.
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