35 Billion Event, Monte Carlo Simulation of PPPv3 with a 35-char Alphabet

The raw counts of the number of times each "partition" (or PPP character)
was chosen by taking 35 billion, 128-bit pseudo-random numbers. (These
were generated by using the Rijndael cipher to encrypt an incrementing
counter.) Each 128-bit pseudo-random value was successively divided by
35, 25 times, each time producing a remainder ranging from 0 to 34 which
represented the PPP character that would have been chosen for a given
passcode. In this case, a corresponding counter was incremented to accrue
the count of total character choices.

In the raw data below, the 35 columns represent the 35 partitions and the
25 rows represent the outcomes from successive divisions as the value of
the 128-bit pseudo-random source value is successively reduced in size
until it is exhausted after the 25th successive division.


1000000546,1000032885,999972499,999924006,1000003362,999926919,999949758,999948033,1000036339,999956823,999974198,1000049721,1000022797,1000014746,999983041,999954727,1000020865,999996455,999929943,999955521,999978414,1000038361,1000003548,1006740356,1174441333
1000026205,1000002015,999931122,999990430,1000019363,1000010288,1000036438,999976984,1000039007,1000027295,1000056325,1000016309,999939140,999986654,999990392,1000007590,999979531,999969274,999986958,1000047011,999977590,1000029912,1000029885,1006732212,1174510822
999993153,1000004643,999990345,1000008041,999950491,999952402,1000054534,999981953,1000027597,999999003,999985197,1000027405,999966233,999945129,999990435,1000016813,1000029914,1000063415,1000028464,999965975,999987645,1000049793,1000067293,1006740123,1174526696
1000052453,1000011891,1000013063,999940813,1000049925,1000025502,1000018333,1000005435,999987242,1000070574,999963571,1000001569,1000004211,999968288,999952071,1000034111,999996334,1000010235,1000036531,999967869,1000034114,999979448,1000015775,1006736663,1174506759
1000018348,999976486,999954562,1000024114,999919849,1000028034,1000030979,1000026066,999960209,1000026473,999964503,1000022266,999956018,1000008995,999985001,999976146,999993313,1000013052,999969586,1000000212,1000010701,1000031341,1000003807,1006738463,1174538125
1000025358,1000030094,999989996,999982239,999993828,1000000600,1000038315,1000011786,999987642,999946885,999999793,999963877,1000028583,1000013245,999994238,1000011260,1000017704,1000012280,1000080180,1000047339,999933657,999966589,999976937,1006748893,1174542830
999988170,999963058,1000004508,999975573,999998645,999971930,1000025285,999956294,1000012629,1000003709,1000014305,999972203,1000039762,1000008596,999967526,1000016285,999944560,999998712,1000004761,1000045410,999954709,999965210,1000051503,1006679506,1174521137
999959190,1000018971,1000020723,1000003403,1000042830,1000005095,1000021954,1000015015,999998279,999955330,999966789,1000018390,999987139,1000006908,999968851,999930657,999998131,1000002818,999963733,1000016957,1000062790,1000015646,1000028314,1006734079,1174476086
1000004857,1000005231,1000034734,999984313,999993382,999928689,1000024630,1000023520,1000004069,1000028186,1000025507,1000013564,1000017973,1000016432,999999661,999962659,1000015393,1000041154,1000014822,1000016684,1000031247,999960605,1000000865,1006771249,1174555655
999994212,999982987,999982347,999970190,1000013197,1000026889,999990383,999985323,999968175,999983584,1000037024,999961697,999994968,999988023,1000032234,999985134,999957491,1000001544,1000024342,1000032221,999987888,999936379,999974685,1006777282,1174554658
1000022038,999971032,1000046222,999990163,1000008127,999975781,999986748,999995098,999938777,999946927,999985550,1000030445,1000005898,1000044663,999997810,999960205,1000038861,999979171,1000043123,999993526,1000007582,999977787,1000051681,1006733975,1174627268
1000056964,999961553,1000006619,999984355,999950704,1000010897,999992764,999993343,1000016997,1000008081,999985178,1000006771,1000038889,999983068,1000023129,1000062297,999973002,999983211,999984924,999945678,1000026350,1000029016,1000008669,1006746384,1174597606
999976793,1000054640,999999349,999970385,999973806,999994702,1000014752,1000033249,999983914,1000115549,1000004200,999998836,1000006380,1000015519,1000061146,1000013270,1000013305,999963665,1000010974,999948119,999966280,1000016868,1000040616,1006752699,1174509859
1000050367,999982722,1000026689,1000034835,999931948,999988764,1000015813,999991620,1000050515,999992050,999979280,999974902,999964227,999979687,1000056215,999945738,1000035895,999965951,999991544,999998819,999976879,1000008146,1000007247,1006724105,1174470137
999975997,1000000282,1000037214,1000011879,1000014116,999949311,999972954,1000035748,999944780,1000013486,999974313,1000022381,999985469,999979536,999997640,1000009362,1000001453,1000022357,1000030530,1000065536,1000062155,999977615,1000076080,1006715620,1174474746
999954477,999969554,999996424,1000051722,999977262,1000010631,1000009939,1000000974,999998969,999983497,1000037896,1000002741,999994018,1000028461,1000010450,1000026481,1000044392,999996573,999939144,1000020050,999959431,999951533,1000011654,1006702312,1174513157
1000031939,1000010022,1000004384,1000002842,1000061910,1000038665,999964975,1000018037,1000009202,999958142,999939454,999934916,1000054916,1000031282,1000022253,1000007438,1000016620,1000057428,999987640,1000005617,999895268,999996916,1000044508,1006776752,1174500774
999956351,1000004673,1000007468,1000051725,1000005224,1000004820,999997964,999979835,999975099,1000043802,999993393,999983212,999991601,1000009869,999992570,1000047876,999942464,999974130,999978606,1000034962,999984135,999969691,999999047,1006724510,1174561168
999982650,1000054394,1000033392,1000000084,1000044580,999957695,1000013437,1000075792,1000010874,1000008264,1000016554,1000006175,1000032600,1000004793,1000051201,1000002433,999995282,1000025237,999983846,999992859,1000020657,999963694,1000020045,1006752172,1174521600
1000005141,1000041145,1000009941,1000016915,1000036224,999997883,999987657,1000004481,1000008879,1000024995,999970501,1000029568,999987598,1000011510,1000023089,999909241,999977937,1000009493,999969206,999981926,1000065354,1000030625,1000034798,1006707139,1174498506
1000033363,999994511,999962511,1000011871,1000043447,999967676,999965245,999982468,1000021072,1000036215,999932114,999965279,1000030376,999973818,999985914,999964613,999972083,1000047471,999952228,1000003709,999995781,1000039263,1000025547,1006765959,1174466085
1000020979,1000043559,1000001269,999932257,999993634,999987002,999906701,1000024851,999966379,1000031178,999968624,1000005606,1000015462,1000027332,999993943,1000024819,999971906,1000005728,999962166,999978582,1000061765,1000011570,1000013987,1006666238,1174561855
999949609,1000004420,1000038108,1000002710,999983001,1000008297,999991092,999961494,1000046066,1000049214,999989000,999975698,1000000651,1000025561,1000005455,999995489,1000003102,999938780,1000038086,999989626,1000033023,999965215,1000052207,1006746427,1174542170
1000026676,999940835,1000021553,1000002601,1000070006,1000004081,999991631,999981196,1000019488,999931993,1000027122,1000003748,999974945,1000041233,999966553,1000026059,1000011196,999973941,999992220,999991114,1000039499,1000030825,999998866,1006731026,1174497696
999988682,999980295,1000043730,1000041920,1000021209,1000020183,1000008579,999992124,999924615,999940967,999980548,1000005202,1000014142,999976191,999974999,1000023080,1000002028,999990711,999984547,1000007770,1000007941,999992949,1000044878,1006758925,1174491009
999958706,999994374,1000012127,1000011082,1000033912,999993445,1000024071,1000002184,1000022221,1000007390,1000022506,999970377,1000007431,999951592,1000042932,1000015746,999985301,999937057,1000065923,999987510,999984190,999976841,1000057153,1006760648,1174498323
999991489,1000014987,999931440,1000024760,1000019608,999989993,999996315,1000012475,1000039904,1000008547,1000087762,1000028877,1000010607,1000037656,1000004606,1000000012,1000004815,1000022771,1000014918,1000005736,999974348,999983251,999974257,1006662018,1174590742
1000035458,999932730,999982007,999941588,1000019751,1000017436,1000007076,999954798,999999473,1000022104,999983393,1000018696,999938336,999969505,999990172,1000023936,999989807,1000027865,1000044044,999971975,999966022,1000019325,1000030827,1005960954,1174531271
999981058,999987477,999973565,1000014280,999968073,1000020808,1000003914,1000032459,1000004630,1000005481,1000021994,999984411,999979442,999988807,1000028102,999964630,1000044734,999993388,1000000216,1000049231,999972259,1000006527,1000031154,973260400,1174554179
999979238,999995407,1000018891,999995371,1000002719,1000052908,999976992,1000034526,1000023518,1000005216,999980900,1000005776,1000008589,999981137,999993000,1000012396,999947788,1000030534,1000021833,999955194,999962208,1000038888,999974721,973178106,938817748
999973792,1000037567,999959303,999990091,999945726,999962382,999950975,999972583,1000025349,1000062818,999992410,999952522,999990629,1000012598,999994691,1000031059,1000030814,1000038896,999995403,1000033324,1000024720,1000019068,1000064309,973164520,0
1000009593,1000007070,999965327,1000089478,999974272,1000025822,1000030598,1000029469,999967938,999929400,1000034964,1000069476,1000052873,999988817,999963751,999984883,1000004982,999928600,999927515,1000046713,1000001587,1000016058,999985129,973185989,0
1000046560,1000027546,999990037,1000004412,999978896,1000040826,1000009614,1000023117,1000033591,999981511,1000029935,999994178,1000004203,1000016125,999943850,1000011658,1000004543,999998733,1000033569,999953211,999986589,999977073,1000018814,973113390,0
1000006023,999960096,1000065881,1000034664,999959820,1000086254,1000010215,999977913,999930297,999943601,1000040013,999973201,999959714,999981546,999983624,1000006131,1000002134,999994274,999991414,999997654,1000035481,999996349,1000011890,973169452,0
999923565,1000000848,999972650,999984888,999997153,1000017390,999979370,999959757,1000016265,999951710,1000035184,1000010005,999994180,999982678,1000029455,1000035766,1000032320,999985096,1000017061,999946360,1000031741,1000031623,999269304,973141454,0