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Output_Dense_13.txt
1173 lines (1081 loc) · 286 KB
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Output_Dense_13.txt
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Randomly generating 10000 unique keys from 100000 to 200000
Number of keys generated: 10000
Keys generated: [100010, 100013, 100016, 100032, 100041, 100047, 100052, 100055, 100081, 100089, 100096, 100100, 100107, 100110, 100119, 100130, 100139, 100152, 100154, 100172, 100184, 100193, 100200, 100201, 100203, 100204, 100205, 100222, 100230, 100242, 100243, 100278, 100282, 100289, 100297, 100299, 100313, 100315, 100352, 100356, 100358, 100363, 100386, 100394, 100396, 100398, 100402, 100406, 100419, 100423, 100435, 100444, 100448, 100459, 100464, 100476, 100502, 100514, 100516, 100526, 100540, 100545, 100556, 100557, 100563, 100568, 100580, 100581, 100584, 100587, 100588, 100591, 100601, 100632, 100656, 100666, 100682, 100688, 100702, 100715, 100728, 100732, 100738, 100745, 100752, 100753, 100775, 100787, 100807, 100809, 100813, 100816, 100819, 100825, 100837, 100863, 100878, 100886, 100932, 100935, 100944, 100953, 100956, 100970, 100977, 101013, 101015, 101023, 101025, 101044, 101065, 101070, 101075, 101087, 101094, 101095, 101096, 101100, 101107, 101110, 101119, 101122, 101140, 101163, 101178, 101181, 101184, 101186, 101191, 101194, 101197, 101213, 101235, 101242, 101263, 101279, 101283, 101288, 101298, 101308, 101320, 101321, 101323, 101337, 101349, 101358, 101369, 101373, 101374, 101384, 101386, 101409, 101426, 101440, 101447, 101454, 101457, 101463, 101484, 101497, 101511, 101512, 101513, 101528, 101529, 101587, 101588, 101604, 101617, 101619, 101620, 101629, 101634, 101638, 101642, 101665, 101667, 101676, 101680, 101690, 101694, 101701, 101711, 101714, 101719, 101725, 101726, 101728, 101730, 101732, 101735, 101740, 101745, 101751, 101758, 101774, 101818, 101840, 101857, 101862, 101868, 101895, 101902, 101907, 101941, 101955, 101966, 101977, 101982, 101984, 101985, 101997, 102021, 102023, 102025, 102031, 102043, 102057, 102058, 102064, 102091, 102098, 102110, 102122, 102132, 102154, 102184, 102185, 102187, 102190, 102192, 102200, 102241, 102249, 102251, 102256, 102279, 102293, 102301, 102326, 102328, 102331, 102338, 102347, 102352, 102382, 102404, 102405, 102418, 102468, 102471, 102477, 102489, 102492, 102500, 102501, 102503, 102505, 102518, 102522, 102524, 102526, 102556, 102563, 102581, 102618, 102625, 102626, 102635, 102638, 102662, 102663, 102680, 102694, 102696, 102697, 102714, 102720, 102722, 102726, 102728, 102748, 102756, 102775, 102790, 102797, 102798, 102807, 102814, 102829, 102833, 102847, 102859, 102875, 102879, 102885, 102893, 102901, 102910, 102914, 102924, 102930, 102944, 102952, 102956, 102967, 102973, 102977, 102993, 103000, 103002, 103007, 103013, 103015, 103016, 103017, 103021, 103032, 103037, 103044, 103057, 103066, 103083, 103099, 103101, 103107, 103112, 103123, 103138, 103160, 103169, 103172, 103177, 103191, 103197, 103202, 103213, 103237, 103242, 103245, 103248, 103263, 103280, 103283, 103284, 103288, 103296, 103299, 103306, 103310, 103327, 103328, 103348, 103356, 103377, 103384, 103422, 103425, 103430, 103431, 103442, 103447, 103469, 103481, 103489, 103497, 103500, 103504, 103513, 103520, 103536, 103539, 103542, 103566, 103568, 103571, 103573, 103576, 103594, 103606, 103624, 103633, 103639, 103651, 103691, 103712, 103729, 103773, 103794, 103806, 103815, 103819, 103834, 103853, 103864, 103882, 103889, 103898, 103903, 103910, 103912, 103935, 103952, 103955, 103961, 103965, 103970, 103971, 103973, 103982, 103993, 104011, 104037, 104044, 104050, 104073, 104090, 104103, 104110, 104111, 104125, 104133, 104144, 104147, 104151, 104155, 104157, 104162, 104174, 104177, 104186, 104193, 104203, 104206, 104222, 104230, 104241, 104263, 104288, 104290, 104297, 104301, 104308, 104319, 104321, 104329, 104332, 104333, 104349, 104360, 104361, 104375, 104383, 104387, 104406, 104434, 104438, 104447, 104451, 104468, 104486, 104508, 104510, 104516, 104530, 104543, 104547, 104550, 104573, 104575, 104591, 104597, 104625, 104639, 104641, 104651, 104653, 104673, 104680, 104700, 104703, 104709, 104737, 104738, 104741, 104745, 104748, 104751, 104754, 104762, 104769, 104774, 104816, 104822, 104839, 104878, 104887, 104889, 104950, 104992, 105001, 105003, 105012, 105013, 105015, 105024, 105029, 105037, 105041, 105050, 105054, 105069, 105073, 105095, 105107, 105113, 105120, 105127, 105135, 105143, 105145, 105217, 105218, 105224, 105233, 105265, 105270, 105279, 105294, 105300, 105304, 105318, 105336, 105359, 105360, 105371, 105378, 105381, 105386, 105391, 105400, 105411, 105414, 105422, 105429, 105435, 105461, 105463, 105473, 105479, 105487, 105488, 105506, 105527, 105529, 105541, 105546, 105556, 105561, 105562, 105575, 105576, 105596, 105618, 105621, 105630, 105646, 105698, 105720, 105728, 105752, 105763, 105767, 105771, 105776, 105782, 105785, 105791, 105827, 105836, 105837, 105862, 105873, 105876, 105910, 105912, 105930, 105935, 105942, 105953, 105962, 105972, 105973, 105979, 105998, 106006, 106024, 106043, 106055, 106072, 106080, 106082, 106091, 106117, 106125, 106131, 106136, 106149, 106150, 106156, 106175, 106179, 106213, 106219, 106225, 106247, 106251, 106253, 106255, 106275, 106290, 106298, 106304, 106308, 106317, 106321, 106330, 106346, 106354, 106367, 106369, 106409, 106410, 106417, 106422, 106424, 106447, 106449, 106454, 106465, 106473, 106484, 106514, 106543, 106562, 106573, 106574, 106592, 106595, 106601, 106612, 106632, 106646, 106647, 106671, 106678, 106688, 106694, 106700, 106712, 106713, 106730, 106732, 106734, 106739, 106741, 106744, 106746, 106753, 106754, 106762, 106764, 106776, 106781, 106783, 106788, 106791, 106802, 106827, 106833, 106861, 106868, 106870, 106875, 106880, 106885, 106890, 106902, 106909, 106911, 106926, 106950, 106951, 106979, 106980, 107015, 107043, 107045, 107059, 107074, 107091, 107099, 107107, 107110, 107113, 107114, 107128, 107166, 107177, 107182, 107184, 107195, 107196, 107203, 107215, 107218, 107229, 107233, 107234, 107241, 107257, 107270, 107277, 107283, 107302, 107304, 107308, 107312, 107336, 107351, 107354, 107369, 107386, 107391, 107414, 107423, 107435, 107436, 107443, 107454, 107456, 107457, 107460, 107463, 107464, 107468, 107480, 107482, 107490, 107491, 107492, 107495, 107501, 107515, 107519, 107523, 107558, 107562, 107592, 107594, 107615, 107619, 107625, 107629, 107638, 107640, 107642, 107647, 107648, 107667, 107679, 107702, 107706, 107726, 107738, 107758, 107760, 107782, 107787, 107796, 107821, 107829, 107849, 107863, 107865, 107893, 107906, 107907, 107914, 107915, 107916, 107920, 107922, 107927, 107978, 107989, 107990, 107993, 107995, 108015, 108021, 108026, 108028, 108029, 108038, 108054, 108056, 108074, 108076, 108080, 108084, 108088, 108089, 108090, 108100, 108118, 108129, 108139, 108148, 108150, 108151, 108164, 108170, 108173, 108193, 108205, 108217, 108241, 108282, 108295, 108298, 108300, 108303, 108311, 108313, 108361, 108365, 108366, 108375, 108397, 108400, 108412, 108416, 108433, 108445, 108454, 108469, 108481, 108495, 108498, 108500, 108519, 108536, 108537, 108551, 108576, 108588, 108589, 108597, 108598, 108614, 108616, 108617, 108640, 108642, 108660, 108661, 108670, 108682, 108687, 108689, 108693, 108704, 108705, 108710, 108721, 108723, 108725, 108731, 108758, 108763, 108766, 108778, 108779, 108783, 108788, 108794, 108796, 108798, 108806, 108818, 108848, 108849, 108863, 108870, 108874, 108875, 108888, 108889, 108898, 108907, 108914, 108916, 108921, 108940, 108944, 108955, 108977, 109000, 109011, 109015, 109021, 109024, 109036, 109040, 109044, 109065, 109068, 109077, 109082, 109104, 109119, 109123, 109149, 109152, 109181, 109214, 109220, 109222, 109223, 109228, 109234, 109240, 109249, 109253, 109255, 109270, 109271, 109280, 109281, 109290, 109292, 109304, 109305, 109337, 109351, 109353, 109355, 109356, 109392, 109401, 109404, 109418, 109423, 109433, 109452, 109474, 109475, 109486, 109488, 109502, 109518, 109520, 109525, 109544, 109557, 109567, 109617, 109630, 109638, 109646, 109666, 109672, 109675, 109708, 109724, 109744, 109749, 109766, 109767, 109782, 109792, 109798, 109802, 109804, 109819, 109829, 109830, 109836, 109852, 109875, 109877, 109884, 109893, 109898, 109923, 109936, 109945, 109949, 109951, 109957, 109966, 109975, 109980, 109981, 110011, 110014, 110025, 110049, 110071, 110079, 110089, 110092, 110111, 110117, 110119, 110132, 110157, 110175, 110181, 110192, 110205, 110206, 110212, 110216, 110223, 110246, 110260, 110266, 110268, 110270, 110277, 110300, 110306, 110318, 110323, 110325, 110327, 110334, 110378, 110385, 110397, 110401, 110433, 110441, 110462, 110465, 110467, 110470, 110473, 110484, 110504, 110511, 110517, 110521, 110535, 110537, 110538, 110541, 110542, 110558, 110560, 110562, 110577, 110582, 110585, 110590, 110591, 110592, 110600, 110603, 110615, 110616, 110623, 110644, 110645, 110655, 110670, 110677, 110682, 110683, 110688, 110694, 110705, 110709, 110711, 110713, 110714, 110715, 110741, 110742, 110749, 110755, 110761, 110801, 110807, 110817, 110844, 110852, 110853, 110861, 110866, 110875, 110877, 110888, 110890, 110914, 110924, 110928, 110943, 110944, 110954, 110963, 110964, 110966, 110976, 110982, 110990, 110992, 111008, 111042, 111071, 111082, 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Creating dense tree of order: 13
Printing dense tree. The nodes are printed in DFS format.
Root Node:[100010, 122147, 143922, 165690]
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[173225, 173232, 173265, 173269, 173281, 173290, 173299, 173300, 173320, 173326, 173334, 173338, 173356]
[173364, 173387, 173388, 173406, 173407, 173412, 173413, 173417, 173442, 173456, 173466, 173477, 173483]
[173503, 173521, 173527, 173528, 173534, 173536, 173550, 173595, 173603, 173616, 173631, 173637, 173641]
[173688, 173690, 173693, 173694, 173704, 173716, 173719, 173734, 173738, 173740, 173742, 173748, 173751]
[173753, 173754, 173758, 173797, 173798, 173802, 173816, 173825, 173826, 173840, 173845, 173857, 173861]
[173870, 173891, 173906, 173907, 173925, 173931, 173937, 173939, 173943, 173948, 173979, 173986, 174003]
[174012, 174013, 174045, 174053, 174065, 174071, 174085, 174088, 174106, 174108, 174111, 174131, 174136]
[174138, 174143, 174150, 174154, 174158, 174180, 174184, 174193, 174212, 174216, 174228, 174230, 174232]
[174242, 174260, 174266, 174268, 174281, 174306, 174315, 174316, 174322, 174324, 174338, 174353, 174361]
[174376, 174482, 174698, 174828, 174927, 175070, 175147, 175269, 175397, 175553, 175682, 175769, 175933]
[174376, 174389, 174390, 174409, 174411, 174418, 174428, 174444, 174453, 174460, 174463, 174466, 174471]
[174482, 174494, 174497, 174533, 174535, 174548, 174572, 174587, 174614, 174624, 174628, 174647, 174666]
[174698, 174710, 174714, 174722, 174743, 174762, 174770, 174775, 174776, 174786, 174795, 174812, 174824]
[174828, 174829, 174834, 174839, 174842, 174864, 174868, 174870, 174873, 174882, 174908, 174917, 174918]
[174927, 174932, 174949, 174955, 174963, 174968, 174977, 174994, 175022, 175026, 175038, 175060, 175066]
[175070, 175074, 175078, 175087, 175088, 175108, 175109, 175113, 175114, 175132, 175141, 175143, 175146]
[175147, 175178, 175183, 175185, 175190, 175194, 175196, 175201, 175203, 175204, 175216, 175230, 175261]
[175269, 175288, 175300, 175306, 175321, 175328, 175330, 175354, 175364, 175373, 175376, 175386, 175393]
[175397, 175437, 175446, 175450, 175460, 175462, 175486, 175513, 175523, 175525, 175535, 175538, 175551]
[175553, 175569, 175570, 175572, 175591, 175599, 175609, 175651, 175656, 175658, 175663, 175666, 175671]
[175682, 175686, 175687, 175691, 175699, 175701, 175705, 175718, 175719, 175722, 175736, 175742, 175763]
[175769, 175785, 175811, 175814, 175830, 175845, 175874, 175878, 175883, 175894, 175895, 175923, 175927]
[175933, 175935, 175957, 175959, 175983, 175985, 175999, 176011, 176024, 176051, 176072, 176073, 176081]
[176084, 176234, 176400, 176503, 176632, 176725, 176837, 176942, 177055, 177167, 177337, 177435, 177498]
[176084, 176110, 176111, 176118, 176138, 176155, 176167, 176168, 176173, 176188, 176190, 176225, 176229]
[176234, 176241, 176246, 176280, 176286, 176293, 176307, 176350, 176369, 176378, 176380, 176387, 176396]
[176400, 176406, 176419, 176422, 176423, 176437, 176440, 176447, 176455, 176470, 176472, 176486, 176492]
[176503, 176529, 176532, 176542, 176548, 176554, 176565, 176570, 176599, 176606, 176609, 176621, 176627]
[176632, 176635, 176644, 176652, 176659, 176662, 176664, 176665, 176675, 176676, 176683, 176697, 176717]
[176725, 176728, 176741, 176743, 176757, 176766, 176770, 176771, 176772, 176773, 176789, 176826, 176833]
[176837, 176839, 176863, 176869, 176877, 176883, 176893, 176897, 176917, 176918, 176919, 176926, 176934]
[176942, 176950, 176951, 176969, 176971, 176973, 176990, 176998, 176999, 177005, 177027, 177048, 177052]
[177055, 177058, 177059, 177080, 177084, 177098, 177101, 177111, 177120, 177128, 177136, 177159, 177164]
[177167, 177170, 177187, 177192, 177196, 177243, 177259, 177276, 177278, 177283, 177300, 177314, 177319]
[177337, 177347, 177348, 177354, 177357, 177371, 177375, 177405, 177406, 177407, 177412, 177426, 177432]
[177435, 177436, 177438, 177439, 177442, 177446, 177447, 177458, 177465, 177467, 177476, 177479, 177490]
[177498, 177500, 177526, 177535, 177536, 177540, 177545, 177568, 177571, 177595, 177605, 177609, 177614]
[177616, 177712, 177895, 178007, 178172, 178346, 178509, 178678, 178806, 178904, 179007, 179086, 179208]
[177616, 177617, 177618, 177619, 177621, 177629, 177645, 177659, 177666, 177670, 177681, 177693, 177702]
[177712, 177715, 177720, 177749, 177752, 177763, 177822, 177842, 177861, 177869, 177871, 177881, 177892]
[177895, 177901, 177903, 177907, 177909, 177911, 177921, 177956, 177963, 177969, 177987, 177993, 178001]
[178007, 178010, 178020, 178055, 178062, 178076, 178089, 178091, 178099, 178112, 178140, 178157, 178160]
[178172, 178207, 178208, 178243, 178248, 178250, 178256, 178267, 178286, 178302, 178303, 178313, 178326]
[178346, 178352, 178362, 178363, 178380, 178396, 178397, 178401, 178451, 178457, 178468, 178487, 178501]
[178509, 178513, 178514, 178537, 178555, 178557, 178562, 178571, 178580, 178595, 178652, 178658, 178661]
[178678, 178688, 178708, 178721, 178727, 178741, 178759, 178760, 178773, 178781, 178795, 178798, 178801]
[178806, 178812, 178820, 178831, 178841, 178850, 178853, 178866, 178876, 178878, 178884, 178891, 178894]
[178904, 178913, 178915, 178917, 178919, 178923, 178925, 178930, 178934, 178972, 178978, 178980, 179004]
[179007, 179013, 179020, 179021, 179024, 179027, 179048, 179054, 179055, 179056, 179064, 179072, 179076]
[179086, 179106, 179133, 179140, 179141, 179152, 179163, 179164, 179172, 179179, 179181, 179182, 179194]
[179208, 179218, 179229, 179230, 179233, 179264, 179270, 179281, 179285, 179294, 179318, 179322, 179326]
[179333, 179425, 179606, 179799, 179955, 180064, 180157, 180250, 180376, 180570, 180687, 180852, 180958]
[179333, 179334, 179335, 179336, 179342, 179349, 179356, 179373, 179389, 179392, 179395, 179401, 179420]
[179425, 179435, 179445, 179463, 179467, 179477, 179493, 179501, 179528, 179541, 179564, 179575, 179579]
[179606, 179635, 179646, 179656, 179684, 179702, 179708, 179753, 179761, 179764, 179772, 179777, 179795]
[179799, 179801, 179820, 179825, 179828, 179847, 179885, 179890, 179894, 179907, 179920, 179924, 179932]
[179955, 179964, 179974, 179979, 180005, 180007, 180014, 180028, 180029, 180030, 180036, 180041, 180045]
[180064, 180070, 180081, 180084, 180085, 180091, 180092, 180095, 180098, 180127, 180131, 180144, 180146]
[180157, 180159, 180162, 180172, 180181, 180202, 180203, 180211, 180226, 180230, 180239, 180241, 180249]
[180250, 180263, 180279, 180285, 180288, 180297, 180300, 180315, 180323, 180344, 180358, 180367, 180370]
[180376, 180379, 180381, 180395, 180422, 180439, 180476, 180486, 180503, 180506, 180511, 180530, 180565]
[180570, 180585, 180613, 180614, 180625, 180632, 180634, 180639, 180651, 180658, 180670, 180672, 180674]
[180687, 180693, 180703, 180714, 180731, 180747, 180792, 180794, 180799, 180822, 180834, 180844, 180851]
[180852, 180853, 180872, 180876, 180883, 180897, 180903, 180904, 180906, 180908, 180919, 180922, 180943]
[180958, 180966, 180986, 180993, 181011, 181021, 181024, 181030, 181033, 181048, 181054, 181086, 181088]
[181107, 181249, 181459, 181597, 181702, 181821, 181962, 182064, 182173, 182321, 182402, 182522, 182645]
[181107, 181111, 181112, 181158, 181160, 181166, 181176, 181185, 181194, 181205, 181211, 181216, 181219]
[181249, 181254, 181259, 181281, 181290, 181319, 181331, 181342, 181410, 181412, 181444, 181453, 181456]
[181459, 181469, 181471, 181489, 181522, 181533, 181542, 181543, 181551, 181557, 181571, 181572, 181585]
[181597, 181621, 181624, 181629, 181641, 181644, 181651, 181655, 181669, 181671, 181681, 181691, 181696]
[181702, 181707, 181723, 181727, 181741, 181752, 181774, 181783, 181784, 181796, 181801, 181805, 181811]
[181821, 181835, 181856, 181874, 181876, 181877, 181888, 181891, 181898, 181903, 181923, 181929, 181945]
[181962, 181970, 181979, 181988, 181989, 181990, 181994, 182000, 182034, 182038, 182043, 182055, 182063]
[182064, 182066, 182079, 182099, 182107, 182110, 182128, 182131, 182134, 182147, 182148, 182151, 182153]
[182173, 182181, 182183, 182190, 182213, 182245, 182247, 182265, 182286, 182295, 182296, 182298, 182310]
[182321, 182326, 182341, 182345, 182347, 182351, 182355, 182364, 182366, 182378, 182381, 182386, 182394]
[182402, 182405, 182413, 182435, 182441, 182445, 182456, 182459, 182472, 182475, 182488, 182494, 182505]
[182522, 182529, 182535, 182539, 182542, 182551, 182577, 182619, 182625, 182626, 182632, 182639, 182644]
[182645, 182651, 182668, 182670, 182684, 182689, 182723, 182727, 182731, 182735, 182736, 182743, 182759]
[182767, 182888, 183028, 183131, 183270, 183386, 183499, 183657, 183755, 183867, 184066, 184168, 184303]
[182767, 182769, 182779, 182782, 182786, 182787, 182792, 182796, 182803, 182844, 182847, 182848, 182856]
[182888, 182909, 182929, 182939, 182947, 182973, 182979, 182985, 182991, 182995, 183009, 183020, 183024]
[183028, 183039, 183042, 183046, 183050, 183068, 183074, 183100, 183110, 183116, 183125, 183126, 183127]
[183131, 183132, 183133, 183142, 183146, 183161, 183165, 183177, 183184, 183193, 183209, 183231, 183248]
[183270, 183303, 183312, 183314, 183324, 183333, 183340, 183342, 183346, 183352, 183353, 183368, 183375]
[183386, 183388, 183392, 183407, 183411, 183414, 183423, 183430, 183444, 183454, 183469, 183491, 183494]
[183499, 183502, 183538, 183543, 183553, 183566, 183578, 183584, 183594, 183619, 183623, 183632, 183637]
[183657, 183667, 183671, 183685, 183691, 183696, 183705, 183715, 183722, 183725, 183727, 183732, 183749]
[183755, 183761, 183763, 183764, 183772, 183786, 183797, 183806, 183807, 183809, 183812, 183816, 183823]
[183867, 183882, 183910, 183933, 183940, 183941, 183952, 183957, 183966, 183981, 184005, 184016, 184026]
[184066, 184067, 184084, 184087, 184101, 184129, 184130, 184139, 184140, 184149, 184150, 184152, 184158]
[184168, 184170, 184178, 184198, 184201, 184206, 184214, 184218, 184236, 184244, 184279, 184285, 184291]
[184303, 184310, 184312, 184321, 184328, 184334, 184345, 184351, 184353, 184364, 184390, 184393, 184394]
[184407, 184514, 184631, 184738, 184843, 185045, 185197, 185310, 185470, 185637, 185779, 185917, 186046]
[184407, 184409, 184412, 184419, 184425, 184426, 184435, 184447, 184453, 184455, 184468, 184474, 184499]
[184514, 184527, 184547, 184551, 184564, 184592, 184594, 184598, 184610, 184613, 184616, 184619, 184625]
[184631, 184632, 184633, 184640, 184647, 184655, 184656, 184659, 184669, 184682, 184708, 184720, 184736]
[184738, 184743, 184770, 184774, 184781, 184782, 184789, 184792, 184803, 184810, 184817, 184820, 184822]
[184843, 184864, 184917, 184930, 184931, 184936, 184942, 184988, 184995, 185013, 185023, 185025, 185027]
[185045, 185052, 185053, 185069, 185104, 185114, 185115, 185116, 185127, 185143, 185163, 185183, 185194]
[185197, 185226, 185231, 185233, 185237, 185245, 185255, 185263, 185281, 185283, 185291, 185300, 185303]
[185310, 185340, 185341, 185346, 185369, 185372, 185418, 185440, 185446, 185447, 185449, 185463, 185466]
[185470, 185478, 185481, 185487, 185496, 185497, 185509, 185512, 185525, 185563, 185581, 185599, 185615]
[185637, 185638, 185639, 185641, 185647, 185649, 185662, 185677, 185685, 185703, 185708, 185716, 185736]
[185779, 185786, 185788, 185790, 185793, 185802, 185845, 185857, 185863, 185867, 185893, 185901, 185902]
[185917, 185928, 185930, 185932, 185935, 185937, 185939, 185962, 185981, 185985, 185991, 186002, 186033]
[186046, 186053, 186084, 186095, 186098, 186101, 186119, 186153, 186166, 186179, 186188, 186197, 186204]
[186205, 186377, 186486, 186602, 186706, 186814, 186919, 187092, 187214, 187323, 187454, 187615, 187687]
[186205, 186234, 186237, 186242, 186245, 186260, 186278, 186286, 186299, 186300, 186347, 186357, 186367]
[186377, 186378, 186386, 186412, 186414, 186423, 186429, 186432, 186434, 186438, 186451, 186455, 186476]
[186486, 186487, 186513, 186525, 186529, 186534, 186542, 186547, 186553, 186556, 186569, 186600, 186601]
[186602, 186609, 186614, 186619, 186627, 186628, 186637, 186643, 186657, 186664, 186671, 186679, 186681]
[186706, 186740, 186742, 186750, 186757, 186764, 186769, 186787, 186800, 186804, 186808, 186809, 186812]
[186814, 186841, 186846, 186853, 186855, 186861, 186875, 186878, 186883, 186904, 186910, 186911, 186912]
[186919, 186936, 186956, 186980, 186989, 187010, 187022, 187038, 187045, 187056, 187060, 187069, 187090]
[187092, 187100, 187102, 187115, 187117, 187129, 187147, 187150, 187157, 187172, 187195, 187202, 187207]
[187214, 187218, 187222, 187225, 187231, 187241, 187244, 187267, 187276, 187279, 187282, 187313, 187319]
[187323, 187333, 187334, 187351, 187357, 187383, 187385, 187394, 187403, 187413, 187415, 187422, 187452]
[187454, 187461, 187475, 187484, 187485, 187507, 187536, 187565, 187580, 187585, 187593, 187606, 187611]
[187615, 187617, 187621, 187623, 187637, 187645, 187646, 187662, 187665, 187666, 187671, 187675, 187683]
[187687, 187702, 187705, 187707, 187720, 187722, 187725, 187733, 187736, 187737, 187751, 187753, 187756]
**********************************
Experimentation
1. Generating random numbers for experimentation
Random numbers generated: [116753, 116557, 107733, 112522, 163273, 113547, 198117, 132478, 134191, 186661, 150371, 105442, 199590, 196609]
**********************************
2. Performing two random insert operations
Inserting: 116753
Searching key 116753 in the tree to see if it already exists.
Searching: 116753
Traversing the tree from root node to leaf:
[100010, 122147, 143922, 165690]
[100010, 101619, 103242, 105037, 106791, 108454, 110117, 111661, 113391, 115134, 116827, 118549, 120374]
[115134, 115208, 115275, 115402, 115566, 115672, 115794, 115910, 116104, 116229, 116380, 116529, 116683]
[116683, 116699, 116700, 116704, 116719, 116728, 116742, 116802, 116803, 116804, 116817, 116821, 116826]
Key 116753 does not exist in the tree
The key 116753 that you want to insert is not already in the B+ tree.
Inserting it
Traversing the tree to insert key
Root Node: [100010, 122147, 143922, 165690]
Level1: [100010, 101619, 103242, 105037, 106791, 108454, 110117, 111661, 113391, 115134, 116827, 118549, 120374]
Level2: [115134, 115208, 115275, 115402, 115566, 115672, 115794, 115910, 116104, 116229, 116380, 116529, 116683]
Level3: [116683, 116699, 116700, 116704, 116719, 116728, 116742, 116802, 116803, 116804, 116817, 116821, 116826]
Inserting 116753 in leaf node [116683, 116699, 116700, 116704, 116719, 116728, 116742, 116802, 116803, 116804, 116817, 116821, 116826]
After inserting: [116683, 116699, 116700, 116704, 116719, 116728, 116742, 116753, 116802, 116803, 116804, 116817, 116821, 116826]
116753 has been inserted in the tree.
Leaf node is full after insertion. Splitting leaf node to accomodate future keys
Splitting leaf node: [116683, 116699, 116700, 116704, 116719, 116728, 116742, 116753, 116802, 116803, 116804, 116817, 116821, 116826]
Leaf node before splitting: [116683, 116699, 116700, 116704, 116719, 116728, 116742, 116753, 116802, 116803, 116804, 116817, 116821, 116826]
Leaf node after splitting
Left Split keys: [116683, 116699, 116700, 116704, 116719, 116728]
Right split keys: [116742, 116753, 116802, 116803, 116804, 116817, 116821, 116826]
Restructuring parent(internal) nodes
Merging Nodes: [115134, 115208, 115275, 115402, 115566, 115672, 115794, 115910, 116104, 116229, 116380, 116529, 116683] and [116742]
Merged Node: [115134, 115208, 115275, 115402, 115566, 115672, 115794, 115910, 116104, 116229, 116380, 116529, 116683, 116742]
Merged internal node is full. Splitting the node: [115134, 115208, 115275, 115402, 115566, 115672, 115794, 115910, 116104, 116229, 116380, 116529, 116683, 116742]
Merged node after splitting
Left Split keys: [115134, 115208, 115275, 115402, 115566, 115672]
Right Split keys: [115794, 115910, 116104, 116229, 116380, 116529, 116683, 116742]
Restructuring parent(internal) nodes
Merging Nodes: [100010, 101619, 103242, 105037, 106791, 108454, 110117, 111661, 113391, 115134, 116827, 118549, 120374] and [115794]
Merged Node: [100010, 101619, 103242, 105037, 106791, 108454, 110117, 111661, 113391, 115134, 115794, 116827, 118549, 120374]
Merged internal node is full. Splitting the node: [100010, 101619, 103242, 105037, 106791, 108454, 110117, 111661, 113391, 115134, 115794, 116827, 118549, 120374]
Merged node after splitting
Left Split keys: [100010, 101619, 103242, 105037, 106791, 108454]
Right Split keys: [110117, 111661, 113391, 115134, 115794, 116827, 118549, 120374]
Restructuring parent(internal) nodes
Merging Nodes: [100010, 122147, 143922, 165690] and [110117]
Merged Node: [100010, 110117, 122147, 143922, 165690]
**********************************
**********************************
Inserting: 116557
Searching key 116557 in the tree to see if it already exists.
Searching: 116557
Traversing the tree from root node to leaf:
[100010, 110117, 122147, 143922, 165690]
[110117, 111661, 113391, 115134, 115794, 116827, 118549, 120374]
[115794, 115910, 116104, 116229, 116380, 116529, 116683, 116742]
[116529, 116552, 116568, 116573, 116584, 116593, 116607, 116612, 116623, 116650, 116667, 116671, 116677]
Key 116557 does not exist in the tree
The key 116557 that you want to insert is not already in the B+ tree.
Inserting it
Traversing the tree to insert key
Root Node: [100010, 110117, 122147, 143922, 165690]
Level1: [110117, 111661, 113391, 115134, 115794, 116827, 118549, 120374]
Level2: [115794, 115910, 116104, 116229, 116380, 116529, 116683, 116742]
Level3: [116529, 116552, 116568, 116573, 116584, 116593, 116607, 116612, 116623, 116650, 116667, 116671, 116677]
Inserting 116557 in leaf node [116529, 116552, 116568, 116573, 116584, 116593, 116607, 116612, 116623, 116650, 116667, 116671, 116677]
After inserting: [116529, 116552, 116557, 116568, 116573, 116584, 116593, 116607, 116612, 116623, 116650, 116667, 116671, 116677]
116557 has been inserted in the tree.
Leaf node is full after insertion. Splitting leaf node to accomodate future keys
Splitting leaf node: [116529, 116552, 116557, 116568, 116573, 116584, 116593, 116607, 116612, 116623, 116650, 116667, 116671, 116677]
Leaf node before splitting: [116529, 116552, 116557, 116568, 116573, 116584, 116593, 116607, 116612, 116623, 116650, 116667, 116671, 116677]
Leaf node after splitting
Left Split keys: [116529, 116552, 116557, 116568, 116573, 116584]
Right split keys: [116593, 116607, 116612, 116623, 116650, 116667, 116671, 116677]
Restructuring parent(internal) nodes
Merging Nodes: [115794, 115910, 116104, 116229, 116380, 116529, 116683, 116742] and [116593]
Merged Node: [115794, 115910, 116104, 116229, 116380, 116529, 116593, 116683, 116742]
**********************************
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3. Performing random delete operations
Deleting key: 107733
The key107733 that you want to delete does not exist in the tree
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Deleting key: 112522
The key112522 that you want to delete does not exist in the tree
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4. Performing random insert/deletion operations
Inserting: 163273
Searching key 163273 in the tree to see if it already exists.
Searching: 163273
Traversing the tree from root node to leaf:
[100010, 110117, 122147, 143922, 165690]
[143922, 145495, 147300, 149235, 150934, 152383, 154185, 155848, 157213, 158967, 160590, 162163, 163706]
[162163, 162323, 162443, 162533, 162633, 162749, 162896, 162984, 163163, 163294, 163380, 163516, 163617]
[163163, 163181, 163189, 163191, 163198, 163208, 163215, 163218, 163227, 163235, 163250, 163280, 163282]
Key 163273 does not exist in the tree
The key 163273 that you want to insert is not already in the B+ tree.
Inserting it
Traversing the tree to insert key
Root Node: [100010, 110117, 122147, 143922, 165690]
Level1: [143922, 145495, 147300, 149235, 150934, 152383, 154185, 155848, 157213, 158967, 160590, 162163, 163706]
Level2: [162163, 162323, 162443, 162533, 162633, 162749, 162896, 162984, 163163, 163294, 163380, 163516, 163617]
Level3: [163163, 163181, 163189, 163191, 163198, 163208, 163215, 163218, 163227, 163235, 163250, 163280, 163282]
Inserting 163273 in leaf node [163163, 163181, 163189, 163191, 163198, 163208, 163215, 163218, 163227, 163235, 163250, 163280, 163282]
After inserting: [163163, 163181, 163189, 163191, 163198, 163208, 163215, 163218, 163227, 163235, 163250, 163273, 163280, 163282]
163273 has been inserted in the tree.
Leaf node is full after insertion. Splitting leaf node to accomodate future keys
Splitting leaf node: [163163, 163181, 163189, 163191, 163198, 163208, 163215, 163218, 163227, 163235, 163250, 163273, 163280, 163282]
Leaf node before splitting: [163163, 163181, 163189, 163191, 163198, 163208, 163215, 163218, 163227, 163235, 163250, 163273, 163280, 163282]
Leaf node after splitting
Left Split keys: [163163, 163181, 163189, 163191, 163198, 163208]
Right split keys: [163215, 163218, 163227, 163235, 163250, 163273, 163280, 163282]
Restructuring parent(internal) nodes
Merging Nodes: [162163, 162323, 162443, 162533, 162633, 162749, 162896, 162984, 163163, 163294, 163380, 163516, 163617] and [163215]
Merged Node: [162163, 162323, 162443, 162533, 162633, 162749, 162896, 162984, 163163, 163215, 163294, 163380, 163516, 163617]
Merged internal node is full. Splitting the node: [162163, 162323, 162443, 162533, 162633, 162749, 162896, 162984, 163163, 163215, 163294, 163380, 163516, 163617]
Merged node after splitting
Left Split keys: [162163, 162323, 162443, 162533, 162633, 162749]
Right Split keys: [162896, 162984, 163163, 163215, 163294, 163380, 163516, 163617]
Restructuring parent(internal) nodes
Merging Nodes: [143922, 145495, 147300, 149235, 150934, 152383, 154185, 155848, 157213, 158967, 160590, 162163, 163706] and [162896]
Merged Node: [143922, 145495, 147300, 149235, 150934, 152383, 154185, 155848, 157213, 158967, 160590, 162163, 162896, 163706]
Merged internal node is full. Splitting the node: [143922, 145495, 147300, 149235, 150934, 152383, 154185, 155848, 157213, 158967, 160590, 162163, 162896, 163706]
Merged node after splitting
Left Split keys: [143922, 145495, 147300, 149235, 150934, 152383]
Right Split keys: [154185, 155848, 157213, 158967, 160590, 162163, 162896, 163706]
Restructuring parent(internal) nodes
Merging Nodes: [100010, 110117, 122147, 143922, 165690] and [154185]
Merged Node: [100010, 110117, 122147, 143922, 154185, 165690]
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Deleting key: 113547
The key113547 that you want to delete does not exist in the tree
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Inserting: 198117
Searching key 198117 in the tree to see if it already exists.
Searching: 198117
Traversing the tree from root node to leaf:
[100010, 110117, 122147, 143922, 154185, 165690]
[165690, 167412, 169181, 170937, 172772, 174376, 176084, 177616, 179333, 181107, 182767, 184407, 186205]
[186205, 186377, 186486, 186602, 186706, 186814, 186919, 187092, 187214, 187323, 187454, 187615, 187687]
[187687, 187702, 187705, 187707, 187720, 187722, 187725, 187733, 187736, 187737, 187751, 187753, 187756]
Key 198117 does not exist in the tree
The key 198117 that you want to insert is not already in the B+ tree.
Inserting it
Traversing the tree to insert key
Root Node: [100010, 110117, 122147, 143922, 154185, 165690]
Level1: [165690, 167412, 169181, 170937, 172772, 174376, 176084, 177616, 179333, 181107, 182767, 184407, 186205]
Level2: [186205, 186377, 186486, 186602, 186706, 186814, 186919, 187092, 187214, 187323, 187454, 187615, 187687]
Level3: [187687, 187702, 187705, 187707, 187720, 187722, 187725, 187733, 187736, 187737, 187751, 187753, 187756]
Inserting 198117 in leaf node [187687, 187702, 187705, 187707, 187720, 187722, 187725, 187733, 187736, 187737, 187751, 187753, 187756]
After inserting: [187687, 187702, 187705, 187707, 187720, 187722, 187725, 187733, 187736, 187737, 187751, 187753, 187756, 198117]
198117 has been inserted in the tree.
Leaf node is full after insertion. Splitting leaf node to accomodate future keys
Splitting leaf node: [187687, 187702, 187705, 187707, 187720, 187722, 187725, 187733, 187736, 187737, 187751, 187753, 187756, 198117]
Leaf node before splitting: [187687, 187702, 187705, 187707, 187720, 187722, 187725, 187733, 187736, 187737, 187751, 187753, 187756, 198117]
Leaf node after splitting
Left Split keys: [187687, 187702, 187705, 187707, 187720, 187722]
Right split keys: [187725, 187733, 187736, 187737, 187751, 187753, 187756, 198117]
Restructuring parent(internal) nodes
Merging Nodes: [186205, 186377, 186486, 186602, 186706, 186814, 186919, 187092, 187214, 187323, 187454, 187615, 187687] and [187725]
Merged Node: [186205, 186377, 186486, 186602, 186706, 186814, 186919, 187092, 187214, 187323, 187454, 187615, 187687, 187725]
Merged internal node is full. Splitting the node: [186205, 186377, 186486, 186602, 186706, 186814, 186919, 187092, 187214, 187323, 187454, 187615, 187687, 187725]
Merged node after splitting
Left Split keys: [186205, 186377, 186486, 186602, 186706, 186814]
Right Split keys: [186919, 187092, 187214, 187323, 187454, 187615, 187687, 187725]
Restructuring parent(internal) nodes
Merging Nodes: [165690, 167412, 169181, 170937, 172772, 174376, 176084, 177616, 179333, 181107, 182767, 184407, 186205] and [186919]
Merged Node: [165690, 167412, 169181, 170937, 172772, 174376, 176084, 177616, 179333, 181107, 182767, 184407, 186205, 186919]
Merged internal node is full. Splitting the node: [165690, 167412, 169181, 170937, 172772, 174376, 176084, 177616, 179333, 181107, 182767, 184407, 186205, 186919]
Merged node after splitting
Left Split keys: [165690, 167412, 169181, 170937, 172772, 174376]
Right Split keys: [176084, 177616, 179333, 181107, 182767, 184407, 186205, 186919]
Restructuring parent(internal) nodes
Merging Nodes: [100010, 110117, 122147, 143922, 154185, 165690] and [176084]
Merged Node: [100010, 110117, 122147, 143922, 154185, 165690, 176084]
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Deleting key: 132478
The key132478 that you want to delete does not exist in the tree
**********************************
Inserting: 134191
Searching key 134191 in the tree to see if it already exists.
Searching: 134191
Traversing the tree from root node to leaf:
[100010, 110117, 122147, 143922, 154185, 165690, 176084]
[122147, 123736, 125341, 126906, 128581, 130210, 131762, 133625, 135373, 136942, 138559, 140236, 141956]
[133625, 133763, 133914, 134069, 134202, 134311, 134429, 134645, 134753, 134850, 135001, 135105, 135236]
[134069, 134092, 134093, 134099, 134105, 134108, 134124, 134128, 134137, 134140, 134146, 134175, 134201]
Key 134191 does not exist in the tree
The key 134191 that you want to insert is not already in the B+ tree.
Inserting it
Traversing the tree to insert key
Root Node: [100010, 110117, 122147, 143922, 154185, 165690, 176084]
Level1: [122147, 123736, 125341, 126906, 128581, 130210, 131762, 133625, 135373, 136942, 138559, 140236, 141956]
Level2: [133625, 133763, 133914, 134069, 134202, 134311, 134429, 134645, 134753, 134850, 135001, 135105, 135236]
Level3: [134069, 134092, 134093, 134099, 134105, 134108, 134124, 134128, 134137, 134140, 134146, 134175, 134201]
Inserting 134191 in leaf node [134069, 134092, 134093, 134099, 134105, 134108, 134124, 134128, 134137, 134140, 134146, 134175, 134201]
After inserting: [134069, 134092, 134093, 134099, 134105, 134108, 134124, 134128, 134137, 134140, 134146, 134175, 134191, 134201]
134191 has been inserted in the tree.
Leaf node is full after insertion. Splitting leaf node to accomodate future keys
Splitting leaf node: [134069, 134092, 134093, 134099, 134105, 134108, 134124, 134128, 134137, 134140, 134146, 134175, 134191, 134201]
Leaf node before splitting: [134069, 134092, 134093, 134099, 134105, 134108, 134124, 134128, 134137, 134140, 134146, 134175, 134191, 134201]
Leaf node after splitting
Left Split keys: [134069, 134092, 134093, 134099, 134105, 134108]
Right split keys: [134124, 134128, 134137, 134140, 134146, 134175, 134191, 134201]
Restructuring parent(internal) nodes