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Output_Sparse_24.txt
1055 lines (1011 loc) · 249 KB
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Output_Sparse_24.txt
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Randomly generating 10000 unique keys from 100000 to 200000
Number of keys generated: 10000
Keys generated: [100002, 100007, 100011, 100024, 100029, 100040, 100050, 100062, 100089, 100096, 100104, 100133, 100144, 100146, 100149, 100154, 100159, 100166, 100186, 100205, 100212, 100214, 100234, 100245, 100248, 100300, 100303, 100314, 100320, 100336, 100353, 100357, 100362, 100383, 100388, 100408, 100411, 100429, 100437, 100446, 100453, 100476, 100497, 100503, 100505, 100521, 100540, 100564, 100574, 100602, 100615, 100623, 100630, 100639, 100647, 100656, 100678, 100681, 100694, 100698, 100699, 100705, 100706, 100710, 100715, 100725, 100756, 100761, 100766, 100767, 100778, 100779, 100780, 100786, 100794, 100799, 100800, 100808, 100817, 100841, 100871, 100901, 100903, 100910, 100957, 100963, 100979, 100985, 100987, 100992, 100995, 100999, 101010, 101016, 101017, 101021, 101042, 101044, 101047, 101073, 101075, 101111, 101125, 101131, 101140, 101158, 101170, 101206, 101208, 101225, 101229, 101231, 101265, 101266, 101267, 101268, 101270, 101274, 101277, 101280, 101282, 101286, 101297, 101304, 101306, 101337, 101343, 101345, 101346, 101358, 101361, 101363, 101377, 101397, 101400, 101410, 101424, 101427, 101439, 101453, 101469, 101483, 101492, 101500, 101501, 101504, 101514, 101537, 101547, 101557, 101563, 101566, 101569, 101591, 101599, 101607, 101609, 101613, 101625, 101629, 101653, 101656, 101675, 101680, 101683, 101689, 101707, 101708, 101717, 101720, 101747, 101750, 101815, 101818, 101822, 101823, 101845, 101854, 101863, 101865, 101870, 101871, 101894, 101898, 101901, 101918, 101922, 101927, 101930, 101952, 101958, 101962, 101973, 101976, 101977, 101983, 101985, 101992, 101994, 102002, 102005, 102012, 102023, 102028, 102033, 102074, 102079, 102099, 102106, 102135, 102145, 102153, 102156, 102174, 102187, 102190, 102191, 102194, 102209, 102217, 102229, 102230, 102241, 102251, 102276, 102294, 102299, 102326, 102331, 102338, 102349, 102355, 102363, 102373, 102375, 102385, 102386, 102389, 102393, 102400, 102401, 102410, 102413, 102425, 102437, 102467, 102474, 102488, 102493, 102508, 102511, 102513, 102516, 102526, 102530, 102539, 102542, 102568, 102577, 102581, 102585, 102586, 102587, 102598, 102602, 102611, 102623, 102638, 102655, 102657, 102659, 102662, 102663, 102683, 102686, 102694, 102701, 102703, 102705, 102709, 102715, 102724, 102757, 102765, 102768, 102784, 102797, 102802, 102805, 102813, 102814, 102819, 102825, 102830, 102856, 102879, 102892, 102919, 102925, 102929, 102934, 102969, 102982, 102997, 103012, 103047, 103049, 103050, 103055, 103056, 103059, 103081, 103090, 103110, 103112, 103114, 103127, 103147, 103162, 103168, 103173, 103176, 103197, 103217, 103224, 103228, 103241, 103247, 103251, 103278, 103293, 103295, 103309, 103328, 103336, 103340, 103349, 103353, 103368, 103372, 103383, 103403, 103412, 103419, 103440, 103448, 103472, 103473, 103500, 103506, 103541, 103549, 103552, 103560, 103563, 103564, 103574, 103577, 103606, 103607, 103618, 103621, 103625, 103634, 103646, 103651, 103653, 103661, 103664, 103677, 103686, 103688, 103690, 103692, 103734, 103750, 103751, 103769, 103770, 103779, 103798, 103805, 103806, 103814, 103842, 103852, 103882, 103885, 103892, 103896, 103918, 103948, 103950, 103959, 103965, 103985, 103989, 103990, 103991, 103992, 104008, 104020, 104025, 104032, 104033, 104066, 104073, 104076, 104077, 104098, 104106, 104118, 104166, 104181, 104192, 104194, 104197, 104206, 104222, 104233, 104238, 104241, 104245, 104257, 104274, 104295, 104307, 104316, 104332, 104334, 104366, 104375, 104376, 104377, 104414, 104436, 104451, 104452, 104478, 104491, 104493, 104496, 104498, 104499, 104502, 104519, 104520, 104531, 104533, 104541, 104553, 104554, 104580, 104594, 104596, 104616, 104675, 104681, 104682, 104691, 104698, 104699, 104710, 104711, 104741, 104743, 104746, 104755, 104777, 104778, 104787, 104804, 104818, 104837, 104841, 104848, 104856, 104878, 104884, 104885, 104892, 104900, 104923, 104928, 104950, 104954, 104967, 104969, 105003, 105019, 105051, 105058, 105059, 105068, 105074, 105082, 105083, 105088, 105093, 105098, 105103, 105104, 105122, 105124, 105137, 105145, 105152, 105162, 105168, 105175, 105225, 105227, 105231, 105236, 105237, 105249, 105262, 105285, 105286, 105291, 105294, 105295, 105303, 105331, 105355, 105361, 105372, 105373, 105376, 105377, 105379, 105393, 105394, 105404, 105406, 105410, 105421, 105425, 105431, 105433, 105456, 105504, 105511, 105519, 105522, 105524, 105528, 105551, 105556, 105568, 105583, 105585, 105590, 105596, 105599, 105606, 105609, 105615, 105634, 105667, 105669, 105676, 105682, 105696, 105713, 105723, 105729, 105744, 105756, 105763, 105782, 105785, 105786, 105791, 105795, 105810, 105816, 105823, 105829, 105843, 105845, 105848, 105870, 105890, 105901, 105912, 105923, 105926, 105934, 105937, 105945, 105946, 105947, 105957, 105968, 105979, 105981, 106009, 106038, 106051, 106071, 106077, 106079, 106081, 106094, 106098, 106102, 106106, 106107, 106115, 106130, 106131, 106137, 106141, 106147, 106149, 106165, 106183, 106201, 106203, 106205, 106209, 106223, 106225, 106237, 106262, 106285, 106322, 106329, 106337, 106340, 106345, 106349, 106354, 106364, 106373, 106379, 106383, 106386, 106391, 106400, 106419, 106421, 106426, 106427, 106451, 106461, 106463, 106471, 106472, 106481, 106494, 106500, 106505, 106511, 106514, 106521, 106539, 106541, 106543, 106559, 106580, 106586, 106614, 106626, 106634, 106641, 106656, 106658, 106660, 106680, 106683, 106684, 106688, 106697, 106698, 106700, 106709, 106710, 106712, 106713, 106727, 106734, 106751, 106758, 106760, 106763, 106769, 106771, 106775, 106776, 106790, 106795, 106797, 106805, 106819, 106820, 106827, 106840, 106847, 106852, 106860, 106871, 106891, 106921, 106941, 106973, 106979, 107007, 107008, 107036, 107049, 107054, 107061, 107072, 107083, 107089, 107105, 107107, 107115, 107119, 107126, 107136, 107141, 107154, 107160, 107165, 107175, 107185, 107189, 107204, 107218, 107219, 107222, 107244, 107271, 107277, 107285, 107297, 107303, 107317, 107340, 107342, 107345, 107348, 107362, 107370, 107372, 107418, 107420, 107423, 107429, 107438, 107442, 107456, 107465, 107471, 107473, 107476, 107481, 107519, 107526, 107527, 107531, 107537, 107549, 107556, 107558, 107575, 107577, 107578, 107614, 107615, 107619, 107623, 107631, 107633, 107639, 107649, 107665, 107679, 107695, 107703, 107720, 107730, 107731, 107734, 107745, 107760, 107770, 107781, 107810, 107816, 107830, 107834, 107842, 107843, 107868, 107878, 107879, 107920, 107926, 107936, 107954, 107955, 107975, 107978, 107980, 107988, 107990, 107992, 107996, 108003, 108005, 108010, 108033, 108035, 108036, 108062, 108067, 108069, 108117, 108121, 108140, 108151, 108156, 108170, 108175, 108177, 108179, 108191, 108196, 108218, 108219, 108230, 108234, 108239, 108243, 108252, 108258, 108275, 108290, 108293, 108304, 108318, 108332, 108345, 108347, 108350, 108356, 108359, 108365, 108366, 108369, 108403, 108410, 108411, 108421, 108428, 108441, 108450, 108472, 108477, 108479, 108481, 108491, 108498, 108523, 108541, 108548, 108561, 108579, 108582, 108591, 108600, 108607, 108611, 108614, 108646, 108648, 108665, 108677, 108702, 108731, 108734, 108758, 108777, 108789, 108814, 108817, 108822, 108823, 108827, 108830, 108843, 108872, 108873, 108882, 108885, 108893, 108926, 108936, 108940, 108942, 108965, 108980, 108981, 108991, 109017, 109026, 109039, 109044, 109046, 109055, 109060, 109064, 109066, 109070, 109072, 109075, 109077, 109092, 109105, 109125, 109131, 109169, 109170, 109177, 109185, 109202, 109203, 109216, 109222, 109249, 109259, 109261, 109266, 109278, 109279, 109282, 109285, 109290, 109295, 109299, 109315, 109324, 109342, 109343, 109345, 109349, 109360, 109362, 109396, 109422, 109434, 109438, 109448, 109456, 109462, 109463, 109472, 109475, 109483, 109485, 109505, 109537, 109544, 109552, 109566, 109573, 109587, 109588, 109591, 109601, 109611, 109614, 109623, 109630, 109650, 109653, 109661, 109682, 109689, 109710, 109715, 109720, 109740, 109757, 109779, 109787, 109788, 109797, 109808, 109826, 109837, 109860, 109862, 109863, 109899, 109905, 109907, 109914, 109924, 109930, 109940, 109946, 109948, 109955, 109958, 109960, 109968, 109973, 109976, 110015, 110017, 110032, 110036, 110043, 110045, 110054, 110062, 110068, 110083, 110089, 110096, 110104, 110106, 110112, 110117, 110128, 110150, 110160, 110162, 110183, 110184, 110191, 110203, 110217, 110224, 110236, 110242, 110245, 110265, 110273, 110275, 110284, 110285, 110289, 110292, 110319, 110322, 110330, 110334, 110344, 110353, 110360, 110368, 110438, 110448, 110449, 110450, 110458, 110467, 110475, 110485, 110490, 110496, 110497, 110501, 110502, 110505, 110512, 110522, 110525, 110534, 110556, 110619, 110626, 110634, 110647, 110649, 110654, 110660, 110666, 110667, 110671, 110675, 110676, 110679, 110685, 110704, 110706, 110741, 110769, 110776, 110788, 110792, 110811, 110826, 110831, 110850, 110854, 110869, 110896, 110909, 110919, 110929, 110947, 110975, 110981, 110985, 110990, 110998, 111007, 111035, 111057, 111070, 111093, 111098, 111102, 111111, 111112, 111128, 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199995, 199998]
Creating sparse tree of order: 24
Printing sparse tree. The nodes are printed in DFS format.
Root Node:[100002, 117052, 134164, 151609, 169033]
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[172316, 172329, 172335, 172340, 172353, 172356, 172358, 172361, 172365, 172369, 172370, 172371]
[172378, 172389, 172405, 172411, 172436, 172461, 172469, 172472, 172492, 172497, 172508, 172529]
[172538, 172541, 172545, 172560, 172565, 172575, 172580, 172603, 172605, 172608, 172612, 172616]
[172618, 172637, 172657, 172662, 172669, 172704, 172724, 172755, 172773, 172846, 172852, 172856]
[172874, 172897, 172907, 172920, 172927, 172931, 172957, 172959, 172979, 172986, 172997, 173005]
[173019, 173038, 173062, 173065, 173076, 173077, 173084, 173091, 173109, 173114, 173153, 173161]
[173168, 173169, 173177, 173185, 173189, 173201, 173208, 173215, 173223, 173258, 173279, 173285]
[173328, 173329, 173332, 173345, 173346, 173354, 173367, 173374, 173399, 173405, 173413, 173417]
[173437, 173536, 173673, 173832, 174001, 174155, 174272, 174451, 174583, 174696, 174770, 174867]
[173437, 173444, 173450, 173480, 173484, 173486, 173487, 173492, 173501, 173511, 173514, 173520]
[173536, 173574, 173585, 173590, 173591, 173600, 173610, 173617, 173620, 173626, 173654, 173667]
[173673, 173708, 173712, 173726, 173730, 173741, 173744, 173765, 173784, 173799, 173806, 173819]
[173832, 173848, 173853, 173858, 173865, 173915, 173920, 173941, 173944, 173957, 173964, 173979]
[174001, 174009, 174011, 174017, 174031, 174086, 174108, 174113, 174116, 174124, 174134, 174143]
[174155, 174164, 174170, 174182, 174189, 174215, 174218, 174222, 174229, 174238, 174248, 174265]
[174272, 174286, 174297, 174338, 174349, 174351, 174353, 174360, 174367, 174392, 174403, 174413]
[174451, 174454, 174468, 174473, 174481, 174507, 174512, 174516, 174517, 174521, 174561, 174567]
[174583, 174592, 174595, 174618, 174644, 174651, 174661, 174677, 174679, 174683, 174684, 174690]
[174696, 174703, 174705, 174717, 174726, 174733, 174739, 174742, 174744, 174747, 174758, 174769]
[174770, 174781, 174798, 174816, 174832, 174835, 174840, 174841, 174843, 174846, 174856, 174859]
[174867, 174875, 174883, 174909, 174920, 174928, 174934, 174944, 174949, 174958, 174962, 174966]
[174969, 175088, 175143, 175198, 175297, 175396, 175499, 175659, 175847, 175951, 176160, 176274]
[174969, 174971, 174979, 174989, 175025, 175036, 175050, 175052, 175059, 175077, 175083, 175085]
[175088, 175091, 175093, 175098, 175100, 175104, 175105, 175110, 175113, 175116, 175134, 175142]
[175143, 175149, 175155, 175163, 175174, 175181, 175183, 175187, 175189, 175191, 175192, 175195]
[175198, 175210, 175212, 175213, 175224, 175234, 175251, 175264, 175268, 175275, 175279, 175295]
[175297, 175298, 175303, 175306, 175323, 175329, 175332, 175340, 175341, 175349, 175354, 175375]
[175396, 175423, 175425, 175429, 175430, 175433, 175434, 175460, 175474, 175485, 175494, 175495]
[175499, 175510, 175537, 175552, 175573, 175610, 175626, 175628, 175644, 175648, 175650, 175656]
[175659, 175666, 175669, 175707, 175710, 175717, 175752, 175758, 175771, 175775, 175780, 175808]
[175847, 175848, 175852, 175853, 175862, 175868, 175869, 175876, 175879, 175898, 175900, 175927]
[175951, 175967, 175981, 175985, 176024, 176030, 176071, 176088, 176096, 176098, 176106, 176142]
[176160, 176162, 176179, 176184, 176186, 176202, 176241, 176242, 176256, 176257, 176258, 176272]
[176274, 176277, 176282, 176283, 176300, 176306, 176315, 176323, 176357, 176363, 176364, 176369]
[176370, 176483, 176590, 176734, 176893, 176980, 177104, 177271, 177345, 177410, 177526, 177679]
[176370, 176379, 176385, 176398, 176402, 176407, 176421, 176445, 176450, 176452, 176474, 176480]
[176483, 176489, 176490, 176491, 176537, 176548, 176552, 176566, 176572, 176578, 176584, 176589]
[176590, 176605, 176615, 176627, 176635, 176641, 176647, 176648, 176664, 176667, 176668, 176689]
[176734, 176737, 176746, 176750, 176764, 176765, 176778, 176787, 176808, 176819, 176854, 176870]
[176893, 176896, 176916, 176917, 176919, 176923, 176931, 176939, 176952, 176956, 176971, 176979]
[176980, 176984, 177010, 177016, 177022, 177038, 177053, 177060, 177070, 177082, 177095, 177099]
[177104, 177108, 177140, 177142, 177155, 177163, 177187, 177198, 177199, 177210, 177233, 177254]
[177271, 177280, 177283, 177294, 177297, 177302, 177303, 177308, 177318, 177322, 177324, 177337]
[177345, 177346, 177349, 177364, 177368, 177375, 177379, 177385, 177396, 177397, 177400, 177409]
[177410, 177416, 177431, 177443, 177447, 177454, 177457, 177462, 177473, 177483, 177508, 177518]
[177526, 177528, 177540, 177547, 177578, 177582, 177614, 177622, 177638, 177645, 177657, 177676]
[177679, 177709, 177712, 177718, 177724, 177726, 177737, 177738, 177742, 177744, 177749, 177756]
[177764, 177870, 177981, 178112, 178193, 178302, 178410, 178476, 178566, 178682, 178799, 178953]
[177764, 177767, 177785, 177788, 177794, 177806, 177832, 177835, 177842, 177857, 177866, 177867]
[177870, 177871, 177872, 177882, 177884, 177908, 177912, 177927, 177946, 177949, 177962, 177980]
[177981, 177987, 178024, 178027, 178033, 178037, 178043, 178061, 178074, 178085, 178092, 178109]
[178112, 178141, 178147, 178149, 178156, 178158, 178166, 178169, 178176, 178181, 178186, 178189]
[178193, 178196, 178214, 178222, 178227, 178238, 178240, 178255, 178275, 178277, 178285, 178300]
[178302, 178319, 178324, 178328, 178355, 178367, 178372, 178379, 178385, 178390, 178396, 178409]
[178410, 178424, 178425, 178436, 178438, 178439, 178444, 178448, 178449, 178451, 178452, 178472]
[178476, 178480, 178482, 178489, 178493, 178509, 178515, 178522, 178525, 178551, 178562, 178564]
[178566, 178581, 178587, 178604, 178609, 178625, 178634, 178646, 178651, 178670, 178671, 178678]
[178682, 178685, 178686, 178711, 178723, 178728, 178733, 178740, 178765, 178769, 178773, 178778]
[178799, 178808, 178818, 178842, 178882, 178899, 178912, 178916, 178921, 178924, 178947, 178948]
[178953, 178956, 178965, 178991, 178995, 178999, 179005, 179007, 179010, 179023, 179029, 179035]
[179043, 179123, 179198, 179293, 179438, 179570, 179656, 179788, 179896, 180087, 180210, 180287]
[179043, 179048, 179051, 179060, 179072, 179086, 179099, 179106, 179117, 179119, 179120, 179121]
[179123, 179132, 179134, 179145, 179149, 179155, 179165, 179167, 179170, 179171, 179179, 179190]
[179198, 179211, 179214, 179222, 179224, 179239, 179250, 179252, 179258, 179279, 179284, 179291]
[179293, 179304, 179305, 179309, 179321, 179325, 179326, 179379, 179402, 179413, 179415, 179417]
[179438, 179450, 179465, 179479, 179496, 179531, 179534, 179537, 179551, 179556, 179565, 179568]
[179570, 179575, 179591, 179602, 179604, 179606, 179612, 179613, 179629, 179639, 179646, 179650]
[179656, 179661, 179668, 179680, 179688, 179698, 179701, 179708, 179756, 179765, 179772, 179783]
[179788, 179796, 179802, 179821, 179839, 179862, 179864, 179871, 179881, 179883, 179886, 179888]
[179896, 179927, 179939, 179989, 179995, 179999, 180019, 180023, 180046, 180047, 180055, 180080]
[180087, 180094, 180110, 180118, 180128, 180168, 180170, 180177, 180178, 180186, 180190, 180208]
[180210, 180217, 180219, 180223, 180226, 180229, 180232, 180239, 180249, 180250, 180258, 180278]
[180287, 180294, 180295, 180302, 180308, 180313, 180349, 180351, 180352, 180353, 180355, 180363]
[180381, 180531, 180696, 180844, 180969, 181072, 181195, 181310, 181425, 181509, 181616, 181709]
[180381, 180386, 180420, 180440, 180460, 180473, 180484, 180502, 180515, 180520, 180528, 180530]
[180531, 180540, 180554, 180568, 180575, 180587, 180604, 180617, 180621, 180625, 180661, 180687]
[180696, 180698, 180706, 180714, 180722, 180757, 180779, 180783, 180785, 180808, 180828, 180837]
[180844, 180858, 180864, 180871, 180881, 180891, 180899, 180901, 180913, 180930, 180953, 180956]
[180969, 180982, 180983, 180985, 180989, 180993, 181007, 181018, 181032, 181041, 181044, 181068]
[181072, 181076, 181078, 181091, 181092, 181093, 181116, 181125, 181137, 181144, 181157, 181168]
[181195, 181197, 181202, 181204, 181207, 181216, 181220, 181272, 181283, 181297, 181304, 181306]
[181310, 181315, 181318, 181339, 181343, 181354, 181355, 181359, 181363, 181376, 181393, 181403]
[181425, 181426, 181428, 181431, 181438, 181441, 181468, 181474, 181480, 181482, 181491, 181505]
[181509, 181523, 181529, 181532, 181536, 181546, 181550, 181561, 181582, 181583, 181586, 181596]
[181616, 181628, 181635, 181637, 181645, 181664, 181680, 181693, 181695, 181696, 181702, 181708]
[181709, 181718, 181727, 181740, 181758, 181760, 181761, 181769, 181782, 181787, 181793, 181806]
[181807, 181929, 182032, 182133, 182239, 182356, 182466, 182573, 182713, 182812, 182996, 183130]
[181807, 181816, 181829, 181840, 181846, 181849, 181851, 181857, 181876, 181911, 181918, 181920]
[181929, 181935, 181936, 181948, 181968, 181971, 181973, 181991, 182005, 182011, 182020, 182024]
[182032, 182037, 182039, 182063, 182065, 182075, 182082, 182083, 182089, 182095, 182106, 182112]
[182133, 182144, 182146, 182148, 182155, 182158, 182185, 182196, 182204, 182205, 182210, 182213]
[182239, 182246, 182250, 182270, 182275, 182277, 182306, 182334, 182336, 182337, 182349, 182350]
[182356, 182361, 182378, 182380, 182385, 182396, 182400, 182402, 182433, 182436, 182451, 182459]
[182466, 182477, 182478, 182512, 182525, 182527, 182537, 182543, 182547, 182548, 182551, 182557]
[182573, 182574, 182580, 182581, 182591, 182596, 182646, 182653, 182657, 182677, 182694, 182701]
[182713, 182739, 182754, 182758, 182767, 182776, 182783, 182788, 182789, 182800, 182801, 182808]
[182812, 182815, 182829, 182890, 182907, 182913, 182924, 182936, 182953, 182954, 182960, 182981]
[182996, 183001, 183012, 183014, 183016, 183022, 183035, 183040, 183045, 183064, 183101, 183114]
[183130, 183136, 183138, 183139, 183144, 183149, 183187, 183191, 183208, 183212, 183224, 183225]
[183230, 183330, 183439, 183562, 183714, 183778, 183885, 184034, 184128, 184220, 184305, 184411]
[183230, 183242, 183247, 183279, 183283, 183290, 183295, 183302, 183305, 183313, 183317, 183325]
[183330, 183338, 183339, 183347, 183356, 183366, 183373, 183398, 183410, 183415, 183420, 183436]
[183439, 183440, 183455, 183465, 183481, 183495, 183496, 183511, 183539, 183551, 183557, 183558]
[183562, 183567, 183570, 183585, 183590, 183592, 183594, 183640, 183655, 183682, 183686, 183694]
[183714, 183715, 183724, 183727, 183731, 183734, 183738, 183744, 183748, 183759, 183766, 183772]
[183778, 183809, 183815, 183817, 183818, 183823, 183837, 183846, 183856, 183861, 183862, 183868]
[183885, 183898, 183917, 183938, 183940, 183948, 183953, 183965, 184001, 184018, 184027, 184033]
[184034, 184040, 184041, 184042, 184045, 184060, 184063, 184065, 184086, 184088, 184092, 184100]
[184128, 184142, 184144, 184149, 184157, 184165, 184170, 184177, 184178, 184189, 184193, 184207]
[184220, 184232, 184235, 184251, 184253, 184260, 184265, 184272, 184274, 184283, 184298, 184300]
[184305, 184313, 184324, 184325, 184331, 184335, 184343, 184345, 184382, 184392, 184403, 184409]
[184411, 184416, 184420, 184431, 184436, 184455, 184468, 184480, 184490, 184496, 184507, 184519]
[184526, 184652, 184785, 184887, 185041, 185135, 185300, 185378, 185459, 185567, 185715, 185854]
[184526, 184527, 184530, 184544, 184558, 184573, 184574, 184592, 184616, 184620, 184624, 184630]
[184652, 184655, 184658, 184677, 184692, 184708, 184713, 184716, 184723, 184731, 184744, 184775]
[184785, 184796, 184805, 184820, 184823, 184841, 184843, 184847, 184851, 184858, 184876, 184883]
[184887, 184892, 184897, 184903, 184915, 184933, 184937, 184965, 184979, 184991, 185010, 185037]
[185041, 185050, 185051, 185063, 185069, 185074, 185079, 185096, 185097, 185108, 185124, 185127]
[185135, 185138, 185145, 185167, 185196, 185213, 185217, 185224, 185237, 185255, 185276, 185294]
[185300, 185306, 185308, 185309, 185310, 185313, 185329, 185349, 185350, 185368, 185369, 185372]
[185378, 185386, 185401, 185409, 185419, 185422, 185434, 185435, 185438, 185445, 185446, 185450]
[185459, 185475, 185480, 185493, 185502, 185506, 185523, 185532, 185533, 185542, 185556, 185565]
[185567, 185612, 185625, 185635, 185639, 185641, 185658, 185663, 185674, 185686, 185696, 185711]
[185715, 185729, 185736, 185754, 185763, 185764, 185780, 185786, 185799, 185819, 185820, 185842]
[185854, 185860, 185864, 185896, 185915, 185916, 185920, 185922, 185929, 185933, 185988, 185992]
**********************************
Experimentation
1. Generating random numbers for experimentation
Random numbers generated: [106116, 117924, 120392, 126891, 130974, 108776, 106161, 101470, 197596, 148389, 198608, 194193, 122065, 121178]
**********************************
2. Performing two random insert operations
Inserting: 106116
Searching key 106116 in the tree to see if it already exists.
Searching: 106116
Traversing the tree from root node to leaf:
[100002, 117052, 134164, 151609, 169033]
[100002, 101501, 102805, 104376, 105816, 107119, 108481, 109958, 111393, 112725, 114095, 115536]
[105816, 105934, 106071, 106137, 106237, 106379, 106471, 106559, 106684, 106758, 106820, 107007]
[106071, 106077, 106079, 106081, 106094, 106098, 106102, 106106, 106107, 106115, 106130, 106131]
Key 106116 does not exist in the tree
The key 106116 that you want to insert is not already in the B+ tree.
Inserting it
Traversing the tree to insert key
Root Node: [100002, 117052, 134164, 151609, 169033]
Level1: [100002, 101501, 102805, 104376, 105816, 107119, 108481, 109958, 111393, 112725, 114095, 115536]
Level2: [105816, 105934, 106071, 106137, 106237, 106379, 106471, 106559, 106684, 106758, 106820, 107007]
Level3: [106071, 106077, 106079, 106081, 106094, 106098, 106102, 106106, 106107, 106115, 106130, 106131]
Inserting 106116 in leaf node [106071, 106077, 106079, 106081, 106094, 106098, 106102, 106106, 106107, 106115, 106130, 106131]
After inserting: [106071, 106077, 106079, 106081, 106094, 106098, 106102, 106106, 106107, 106115, 106116, 106130, 106131]
106116 has been inserted in the tree.
**********************************
Inserting: 117924
Searching key 117924 in the tree to see if it already exists.
Searching: 117924
Traversing the tree from root node to leaf:
[100002, 117052, 134164, 151609, 169033]
[117052, 118650, 119962, 121561, 123000, 124225, 125746, 127220, 128633, 130075, 131450, 132749]
[117052, 117170, 117286, 117384, 117519, 117615, 117771, 117889, 117993, 118153, 118269, 118460]
[117889, 117898, 117913, 117940, 117948, 117962, 117964, 117965, 117983, 117987, 117989, 117992]
Key 117924 does not exist in the tree
The key 117924 that you want to insert is not already in the B+ tree.
Inserting it
Traversing the tree to insert key
Root Node: [100002, 117052, 134164, 151609, 169033]
Level1: [117052, 118650, 119962, 121561, 123000, 124225, 125746, 127220, 128633, 130075, 131450, 132749]
Level2: [117052, 117170, 117286, 117384, 117519, 117615, 117771, 117889, 117993, 118153, 118269, 118460]
Level3: [117889, 117898, 117913, 117940, 117948, 117962, 117964, 117965, 117983, 117987, 117989, 117992]
Inserting 117924 in leaf node [117889, 117898, 117913, 117940, 117948, 117962, 117964, 117965, 117983, 117987, 117989, 117992]
After inserting: [117889, 117898, 117913, 117924, 117940, 117948, 117962, 117964, 117965, 117983, 117987, 117989, 117992]
117924 has been inserted in the tree.
**********************************
3. Performing random delete operations
Deleting key: 120392
The key120392 that you want to delete does not exist in the tree
**********************************
Deleting key: 126891
The key126891 that you want to delete does not exist in the tree
**********************************
4. Performing random insert/deletion operations
Inserting: 130974
Searching key 130974 in the tree to see if it already exists.
Searching: 130974
Traversing the tree from root node to leaf:
[100002, 117052, 134164, 151609, 169033]
[117052, 118650, 119962, 121561, 123000, 124225, 125746, 127220, 128633, 130075, 131450, 132749]
[130075, 130140, 130227, 130361, 130427, 130535, 130703, 130781, 130953, 131074, 131174, 131332]
[130953, 130956, 130960, 130973, 130978, 130987, 131007, 131030, 131036, 131038, 131055, 131058]
Key 130974 does not exist in the tree
The key 130974 that you want to insert is not already in the B+ tree.
Inserting it
Traversing the tree to insert key
Root Node: [100002, 117052, 134164, 151609, 169033]
Level1: [117052, 118650, 119962, 121561, 123000, 124225, 125746, 127220, 128633, 130075, 131450, 132749]
Level2: [130075, 130140, 130227, 130361, 130427, 130535, 130703, 130781, 130953, 131074, 131174, 131332]
Level3: [130953, 130956, 130960, 130973, 130978, 130987, 131007, 131030, 131036, 131038, 131055, 131058]
Inserting 130974 in leaf node [130953, 130956, 130960, 130973, 130978, 130987, 131007, 131030, 131036, 131038, 131055, 131058]
After inserting: [130953, 130956, 130960, 130973, 130974, 130978, 130987, 131007, 131030, 131036, 131038, 131055, 131058]
130974 has been inserted in the tree.
**********************************
Deleting key: 108776
The key108776 that you want to delete does not exist in the tree
**********************************
Inserting: 106161
Searching key 106161 in the tree to see if it already exists.
Searching: 106161
Traversing the tree from root node to leaf:
[100002, 117052, 134164, 151609, 169033]
[100002, 101501, 102805, 104376, 105816, 107119, 108481, 109958, 111393, 112725, 114095, 115536]
[105816, 105934, 106071, 106137, 106237, 106379, 106471, 106559, 106684, 106758, 106820, 107007]
[106137, 106141, 106147, 106149, 106165, 106183, 106201, 106203, 106205, 106209, 106223, 106225]
Key 106161 does not exist in the tree
The key 106161 that you want to insert is not already in the B+ tree.
Inserting it
Traversing the tree to insert key
Root Node: [100002, 117052, 134164, 151609, 169033]
Level1: [100002, 101501, 102805, 104376, 105816, 107119, 108481, 109958, 111393, 112725, 114095, 115536]
Level2: [105816, 105934, 106071, 106137, 106237, 106379, 106471, 106559, 106684, 106758, 106820, 107007]
Level3: [106137, 106141, 106147, 106149, 106165, 106183, 106201, 106203, 106205, 106209, 106223, 106225]
Inserting 106161 in leaf node [106137, 106141, 106147, 106149, 106165, 106183, 106201, 106203, 106205, 106209, 106223, 106225]
After inserting: [106137, 106141, 106147, 106149, 106161, 106165, 106183, 106201, 106203, 106205, 106209, 106223, 106225]
106161 has been inserted in the tree.
**********************************
Deleting key: 101470
The key101470 that you want to delete does not exist in the tree
**********************************
Inserting: 197596
Searching key 197596 in the tree to see if it already exists.
Searching: 197596
Traversing the tree from root node to leaf:
[100002, 117052, 134164, 151609, 169033]
[169033, 170565, 171852, 173437, 174969, 176370, 177764, 179043, 180381, 181807, 183230, 184526]
[184526, 184652, 184785, 184887, 185041, 185135, 185300, 185378, 185459, 185567, 185715, 185854]
[185854, 185860, 185864, 185896, 185915, 185916, 185920, 185922, 185929, 185933, 185988, 185992]
Key 197596 does not exist in the tree
The key 197596 that you want to insert is not already in the B+ tree.
Inserting it
Traversing the tree to insert key
Root Node: [100002, 117052, 134164, 151609, 169033]
Level1: [169033, 170565, 171852, 173437, 174969, 176370, 177764, 179043, 180381, 181807, 183230, 184526]
Level2: [184526, 184652, 184785, 184887, 185041, 185135, 185300, 185378, 185459, 185567, 185715, 185854]
Level3: [185854, 185860, 185864, 185896, 185915, 185916, 185920, 185922, 185929, 185933, 185988, 185992]
Inserting 197596 in leaf node [185854, 185860, 185864, 185896, 185915, 185916, 185920, 185922, 185929, 185933, 185988, 185992]
After inserting: [185854, 185860, 185864, 185896, 185915, 185916, 185920, 185922, 185929, 185933, 185988, 185992, 197596]
197596 has been inserted in the tree.
**********************************
5. Performing random search operations
Searching: 148389
Traversing the tree from root node to leaf:
[100002, 117052, 134164, 151609, 169033]
[134164, 135552, 137011, 138525, 139834, 141389, 142876, 144260, 145648, 147180, 148679, 150273]
[147180, 147334, 147439, 147564, 147681, 147799, 147902, 148035, 148143, 148227, 148408, 148534]
[148227, 148232, 148252, 148287, 148300, 148310, 148313, 148321, 148326, 148342, 148364, 148368]
Key 148389 does not exist in the tree
**********************************
Searching: 198608
Traversing the tree from root node to leaf:
[100002, 117052, 134164, 151609, 169033]
[169033, 170565, 171852, 173437, 174969, 176370, 177764, 179043, 180381, 181807, 183230, 184526]
[184526, 184652, 184785, 184887, 185041, 185135, 185300, 185378, 185459, 185567, 185715, 185854]
[185854, 185860, 185864, 185896, 185915, 185916, 185920, 185922, 185929, 185933, 185988, 185992, 197596]
Key 198608 does not exist in the tree
**********************************
Searching: 194193
Traversing the tree from root node to leaf:
[100002, 117052, 134164, 151609, 169033]
[169033, 170565, 171852, 173437, 174969, 176370, 177764, 179043, 180381, 181807, 183230, 184526]
[184526, 184652, 184785, 184887, 185041, 185135, 185300, 185378, 185459, 185567, 185715, 185854]
[185854, 185860, 185864, 185896, 185915, 185916, 185920, 185922, 185929, 185933, 185988, 185992, 197596]
Key 194193 does not exist in the tree
**********************************
Searching: 122065
Traversing the tree from root node to leaf:
[100002, 117052, 134164, 151609, 169033]
[117052, 118650, 119962, 121561, 123000, 124225, 125746, 127220, 128633, 130075, 131450, 132749]
[121561, 121663, 121779, 121911, 121986, 122074, 122236, 122362, 122597, 122697, 122773, 122907]
[121986, 121987, 121994, 121998, 122004, 122008, 122019, 122020, 122029, 122047, 122050, 122065]
Key 122065 exists in the tree
**********************************
Searching: 121178
Traversing the tree from root node to leaf:
[100002, 117052, 134164, 151609, 169033]
[117052, 118650, 119962, 121561, 123000, 124225, 125746, 127220, 128633, 130075, 131450, 132749]
[119962, 120117, 120246, 120424, 120504, 120611, 120731, 120860, 120982, 121080, 121239, 121352]
[121080, 121101, 121134, 121139, 121148, 121164, 121172, 121174, 121183, 121195, 121219, 121231]
Key 121178 does not exist in the tree
**********************************
6. Performing two random range search operations
Searching in the range: 72019, 266303
Keys within the range: 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199959,
Searching in the range: 137901, 159620
Keys within the range: 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**********************************
More Experimentation
Generating random number for experimentation
Random number generated: [174599]
1.1. Inserting: 174599
Inserting: 174599
Searching key 174599 in the tree to see if it already exists.
Searching: 174599
Traversing the tree from root node to leaf: