2016-01-25 00:11:32 +00:00
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if (typeof T === 'undefined') require('../setup');
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2016-02-06 17:51:29 +00:00
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T('sqrt', function () {
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2016-01-25 00:11:32 +00:00
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2016-02-04 23:52:10 +00:00
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function t(expected, n, sd, rm) {
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Decimal.precision = sd;
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Decimal.rounding = rm;
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T.assertEqual(expected, new Decimal(n).sqrt().valueOf());
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}
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2016-01-25 00:11:32 +00:00
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2016-02-04 23:52:10 +00:00
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Decimal.config({
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precision: 20,
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rounding: 4,
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toExpNeg: -9e15,
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toExpPos: 9e15,
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minE: -9e15,
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maxE: 9e15
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});
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2016-01-25 00:11:32 +00:00
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2016-02-04 23:52:10 +00:00
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t('NaN', NaN, 20, 4);
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t('2', 4, 20, 4);
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t('0.1', 0.01, 20, 4);
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t('0', 0, 20, 4);
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t('-0', -0, 20, 4);
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t('0', '0', 20, 4);
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t('-0', '-0', 20, 4);
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2016-01-25 00:11:32 +00:00
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2016-02-04 23:52:10 +00:00
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t('Infinity', Infinity, 20, 4);
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t('NaN', -Infinity, 20, 4);
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2016-01-25 00:11:32 +00:00
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2016-02-04 23:52:10 +00:00
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t('NaN', -1, 20, 4);
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t('NaN', -35.999, 20, 4);
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t('NaN', '-0.00000000000001', 20, 4);
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2016-01-25 00:11:32 +00:00
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2016-02-04 23:52:10 +00:00
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// Test against Math.sqrt of squared integers.
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for (var i = 0; i < 500; i++) {
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var j = Math.floor(Math.random() * Math.pow(2, Math.floor(Math.random() * 26) + 1));
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j *= j;
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t(Math.sqrt(j).toString(), j.toString(), 20, 4);
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}
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2016-01-25 00:11:32 +00:00
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2016-02-04 23:52:10 +00:00
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// Initial rounding tests.
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t('11', '101', 2, 0); // 10.04...
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t('11', '111', 2, 0); // 10.53...
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t('1000', 999000.25, 3, 0); // 999.5
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2016-01-25 00:11:32 +00:00
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2016-02-04 23:52:10 +00:00
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t('10', '101', 2, 1);
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t('10', '111', 2, 1);
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t('999', 999000.25, 3, 1);
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2016-01-25 00:11:32 +00:00
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2016-02-04 23:52:10 +00:00
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t('11', '101', 2, 2);
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t('11', '111', 2, 2);
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t('1000', 999000.25, 3, 2);
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2016-01-25 00:11:32 +00:00
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2016-02-04 23:52:10 +00:00
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t('10', '101', 2, 3);
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t('10', '111', 2, 3);
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t('999', 999000.25, 3, 3);
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2016-01-25 00:11:32 +00:00
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2016-02-04 23:52:10 +00:00
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t('10', '101', 2, 4);
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t('11', '111', 2, 4);
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t('1000', 999000.25, 3, 4);
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2016-01-25 00:11:32 +00:00
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2016-02-04 23:52:10 +00:00
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t('10', '101', 2, 5);
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t('11', '111', 2, 5);
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t('999', 999000.25, 3, 5);
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2016-01-25 00:11:32 +00:00
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2016-02-04 23:52:10 +00:00
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t('10', '101', 2, 6);
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t('11', '111', 2, 6);
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t('1000', 999000.25, 3, 6);
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2016-01-25 00:11:32 +00:00
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2016-02-04 23:52:10 +00:00
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t('10', '101', 2, 7);
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t('11', '111', 2, 7);
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t('1000', 999000.25, 2, 7);
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2016-01-25 00:11:32 +00:00
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2016-02-04 23:52:10 +00:00
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t('10', '101', 2, 8);
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t('11', '111', 2, 8);
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t('999', 999000.25, 3, 8);
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2016-01-25 00:11:32 +00:00
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2016-02-04 23:52:10 +00:00
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t('3.7', '13.69', 2, 6);
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t('14.8', '219.04', 3, 6);
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t('3.578708384438441', '12.80715370085', 16, 6);
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t('49.56954417823', '2457.139710037', 13, 6);
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t('4.9808503290100979', '24.80887', 17, 6);
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t('54108953.7650348268963935650889893674872', '2927778877546676.5690784769302', 39, 6);
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t('1.0000000000001', '1.000000000000000001402', 14, 2);
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t('18.000001', '324.0000000000000000000008467', 8, 2);
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t('11.00000000000000001', '121.000000000000000000000000001944', 19, 0);
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t('2.00000000000001', '4.0000000000000000000000000000000005485', 15, 0);
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t('7.1', '49.00000000000000000000007338', 2, 0);
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t('19.00000000000001', '361.0000000000000000000000005645', 16, 2);
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t('1.0000001', '1.00000000000000000000000000000006986', 8, 0);
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t('30771277.0274560007853901874282412', '946871489900441.411712749999999999999999999999999999999999999999', 33, 6);
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t('668.093253221434649746', '446348.594999999999999999999999999999', 21, 5);
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t('0.9999999999999999999999999999999999999999', '0.9999999999999999999999999999999999999998', 40, 5);
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t('0.9999999999999999999997187097975391240474677563824', '0.9999999999999999999994374195950782480949355918890297218761543222489261', 49, 3);
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t('0.0000000000000298840312673111495324166498096924391126062701', '8.9305532478563043E-28', 45, 5);
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t('0.0000000000000000000000000000000000000000025385115498645', '6.4440408887956349899441566682289191111111111111111111E-84', 14, 5);
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t('0.0000000000000000000000000000000000000000000000000000140471526414353053458592377645343274655348630930173397', '1.97322497331782876158645511100784258994087355048761111111111111E-106', 54, 5);
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t('0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002598902022257132166703490111187879281161770014282895', '6.7542917212922111E-232', 52, 5);
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t('0.00999999999999999999999999999949', '0.00009999999999999999999999999999', 30, 1);
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2016-01-25 00:11:32 +00:00
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2016-02-04 23:52:10 +00:00
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Decimal.toExpNeg = Decimal.toExpPos = 0;
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2016-01-25 00:11:32 +00:00
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2016-02-04 23:52:10 +00:00
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t('2.381905579721376621997401692376763128098896247600842643458999047531881813e+2763945', '5.673474190707827242511954659916889896808177096292E+5527890', 73, 6);
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t('1.55701854242008e+46782286', '2.4243067414399499211289451653514095936017185263165775841595802781681024396317601E+93564572', 16, 4);
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t('9.9154007211093362846141108573489066595648018e+35533561334', '9.831517146017554599160038642659577233621137326296138739740339E+71067122669', 44, 0);
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t('2.233685316997e+25', '498935009536979677258304315852850344980736298107223.17', 13, 4);
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t('5.6790521336e+45232', '3.2251633136582109206181686755297199980106981532535904612E+90465', 11, 1);
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t('9.6241485526139652228166208472049625290167818011e+1987400693503696', '9.262423536278148172467483107114956962585715251496115897712401E+3974801387007393', 47, 1);
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t('4.86348548114065869236934236337303e+2212121902', '2.365349102526598437724926901530502896022219085536E+4424243805', 33, 3);
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t('8.94274851486936491099499873074488855754871805417147437494613942878964986078571e+3335853085908', '7.9972751000198231728604329670070818587227114744864529357097524020E+6671706171817', 78, 6);
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t('2.0885911135683898927279398736031752344015545504649127170644896370353379e-4', '4.36221283967684692666426416376714916311505871923000872592271965E-8', 71, 6);
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t('8.026722039667633182260408511913520451120702453123749778e+1023704129', '6.442826670208612947748038374549405718510075898758412768822080597099708051296751984704859E+2047408259', 55, 6);
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t('2.460787425752332228460163766079909e+3858273752019344', '6.05547475474079E+7716547504038688', 34, 4);
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t('4.4571175021534285e+429190', '1.986589642800241768950253744134264443767020159900398126805300834E+858381', 17, 5);
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t('9.4527e+117835031340212', '8.935356909E+235670062680425', 6, 1);
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t('3e+4904361806', '9.24E+9808723612', 1, 5);
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t('1.957204568476697755184197782894827661216187868664840919284816726085640525e+438', '3.83064972286605667223095591399211128840797098184470613547390920507003215236913837823828877362E+876', 73, 0);
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t('8.3032395380167e+34528872', '6.89437868256825998885730788226521728356623423193748251E+69057745', 14, 0);
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t('8.39e+1711992', '7.041883770880118425878239862595091826896816E+3423985', 3, 6);
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t('9.790699916656927140739512410042075323596621289368295024430694756362358e+1202', '9.585780485802596005974448193E+2405', 70, 2);
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t('9.847056990214885399626178374025660624889212963684855438227064306989910207e+269432', '9.696453136853983765292198202484493417225363497463637965E+538865', 73, 2);
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t('1.7359099425e+2747', '3.013383328415989492093650804382794630962008467500528389245351791E+5494', 11, 5);
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t('6.834069539249451103168749378990917542555757999511237679195e-204174793001024', '4.670450646729720489233321886824609831695025907588563949E-408349586002047', 58, 4);
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t('3.138284384168760310983231869196862541278664719980474337283125219910900471e-34848021177070', '9.848828875917495153223800564466445801240606621764417514110475E-69696042354140', 73, 0);
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t('4.00929156084328544059400729461e+7547814714', '1.6074418819849188E+15095629429', 30, 5);
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t('9.385699983e+163', '8.80913641710599005691978950691155189458746110141164551755555797229303947815057725607373E+327', 10, 5);
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t('2.064258493001581567732632230025244966622767522065920193424751662709921e+4395', '4.2611631259291605782486841695067759569661374268622981237845E+8790', 70, 0);
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t('2.2215318528416409230049e+218258', '4.93520377319001414151248980920968837885642082455528005489000815E+436516', 25, 3);
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t('5.1330527926591638410946628719813202245977800293e+46304917529689', '2.6348230972226040854267304152051578667034961411058694242668334095640189241199450266226838E+92609835059379', 48, 0);
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t('2.3253579055706672e-196', '5.407289389E-392', 18, 6);
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t('2.503e+176755402701774', '6.2667203408185268363604194770009720671739738664656179598783769617970284596514793072E+353510805403548', 4, 5);
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t('9.6369204975569156895116858673802898447044593766985526107265769189051484968e+360924246678463', '9.287023667623263145602226199798895429249583886386354524632320596574924425720535087689428938434E+721848493356927', 74, 3);
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t('4.65424913912969424744230257268e+92793524825107', '2.16620350490895E+185587049650215', 30, 3);
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t('6.01309285636782899752364197007684920017398969437949e-1790', '3.61572856993018165706134046141609828036662065978484170009821375392882703132369124228069E-3579', 51, 1);
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t('9.509773153923080543680696577222501710491282865e+412437011050', '9.04357854390761345545547419189409265295580849E+824874022101', 46, 0);
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t('1.257819302229712520962174337277372176639810260661e-44311330', '1.582109397061640889607372828919871087547023353618955613E-88622660', 49, 1);
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t('5.60801706098533725826615935476591733e+4703349458', '3.144985535630261990939138487693918541845307202896600571E+9406698917', 36, 6);
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t('4.520612769066843919448985334359993005870337091660370281988247839555503e+33279', '2.043593980785019831258664920277034009002215803890866800625E+66559', 70, 5);
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t('3.9031901238112199422244215131891752614639270293050848390039e+24964497874732', '1.5234893142617446461800063194E+49928995749465', 59, 1);
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t('1.67399696850587052605991771251848e+43519462757', '2.802265850566844477905639463307E+87038925514', 33, 2);
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t('9.5408249368370749687627590642478e-80750', '9.1027340475372175567247E-161499', 32, 4);
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t('2.4283599683e+171849', '5.896932135288822595493869E+343698', 11, 0);
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t('2.1e+498604095779994', '4.2961949068353E+997208191559988', 2, 0);
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t('2.20453501e-357801904289', '4.859974646744411255356204868440980E-715603808578', 9, 1);
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t('5.8147365156793540374533779611537425212e+496502126799', '3.3811160746774874681847190789838042E+993004253599', 38, 4);
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t('9.6614424956e+33826', '9.3343471095787978641040077990615E+67653', 12, 1);
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t('6.840414600748481921789126213883996657219910998072878638534975744655859056193334e+365397755685166', '4.6791271910133013331845019336634770531377970763582548051313437429709245928538732275037320149E+730795511370333', 79, 1);
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t('2.4239992207971581775833393874986290518e+2157096700', '5.8757722224252300019927334806719E+4314193400', 39, 2);
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t('8.2220388454970543626652913918343189618675218734756075784049153881385219e+3', '67601922.776862534581068550153256371638256888653847213492979247915305924432354685660', 71, 6);
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t('1.64244486917406282584413656933972205192398555455095912262410121870819135e+9340508786387', '2.6976251482762043514129832714354246217401306620466914174989739297066373978821E+18681017572774', 72, 5);
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t('9.79090692715782911695847092370781210596001172136e+3115677438', '9.586185845626716371804688230667770283863635486094832181975090257E+6231354877', 48, 5);
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t('1.944278705796582640753477900250165813717781441628885212874406345152815184e+2116000927238534', '3.78021968581403435601384837583880755915455510843E+4232001854477068', 73, 5);
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t('4.8812606303344129781885860648384540427484823894462977105e+44750108717', '2.3826705341252710709297819787306105797004429874259653221553023657650287E+89500217435', 56, 3);
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t('1.93086613186193490703915304629355648384e+4', '372824401.9171471', 39, 5);
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t('3.1595298775034276812747891834935798726890112101053025250708e+161894746', '9.982629046836824729046499174522512414789196378588531892708638648812537073974580E+323789492', 59, 1);
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t('1.390343871134044306144904825487640471083e+45251442', '1.93305608E+90502884', 40, 0);
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t('2.96906709876922593571912431731393589808133769511469663747755797342953511989756e-481589284892170', '8.8153594369939084379355385E-963178569784340', 78, 4);
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t('5.06340826804083097846774064356525633462189965902266516580957088231376938e+37447664404211', '2.563810328886424765192984306061855294460082173029294221865432386446793287430868E+74895328808423', 72, 6);
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t('5.972915579625786738e+332753', '3.567572052133644795106468790474408870787279617581832818761015389739299185393099191398142701264032348E+665507', 19, 0);
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t('3.13014348207873691395112227e+295812860174', '9.7977982184E+591625720348', 27, 5);
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t('7.2266787484135478395239424677393393e+34292647220436', '5.222488573277200227050900075314803902522307294599971E+68585294440873', 35, 5);
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t('2.65893085873818746784799462956040824680806779629363141352213215464903828502e+41', '7.06991331155019503904475228560073103E+82', 75, 2);
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t('8.881482619e+2095399787486186', '7.888073352767506531631057273649734668539553289948510498240822582019489548040318306E+4190799574972373', 10, 1);
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t('9.80332759539657e+1', '9610.523194266382981096232960460004238837580104560636452314738102557965139756002214949', 15, 4);
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t('9.082984330509808229878255253074802885120895971e+4349613472438', '8.2500604348286709226838364974088837798915132923152211474564761463852274150514234984081825E+8699226944877', 46, 0);
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t('2.3051841717555917375661e-3805332', '5.3138740657125134679225950980E-7610664', 23, 5);
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t('1.58649846866898977e+17', '25169773910890495218058815869093616.163248025716892103133483661936354157144385347', 18, 6);
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t('1.832487619892217619778605787594363341371e+489189', '3.35801087705824464519194153474023E+978378', 41, 6);
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t('8.46288196383477866594835930945604975e+68975897', '7.16203711338E+137951795', 37, 0);
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t('2.15903826476511767107e-426122', '4.661446228719970353170383319438925741090187385001608608366288E-852244', 21, 5);
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t('3.25286507801e+13148279697', '1.05811312157440264046383518534621E+26296559395', 12, 3);
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t('3.926939618857446e+2701650423077205', '1.542085477015226E+5403300846154411', 16, 4);
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t('2.300649433664730442433670197221423917e+33169', '5.292987816621844920407591519790997148291859608855681470609202096937600310235150613372875022280048179E+66338', 37, 5);
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t('8.587979082919625568762e+0', '73.753384728665013020438300', 22, 4);
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t('2.068686747170362320265134050006653074465e+34', '4.2794648579182945572703279910205170577550420354118714938358645443205E+68', 40, 4);
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t('7.69e-46140374415', '5.9182163506875549546680576005992720902216355454971484890245944725555E-92280748829', 3, 5);
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t('1.8175779968958926637429567383064725023e+489880727845850', '3.303589774800085601596674E+979761455691700', 38, 2);
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t('8.919264136401625271884219060858252e+9', '79553272734900230263.41763128677730026531493235388640071381802652591', 34, 1);
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t('2.684345427e+44565', '7.205710371469E+89130', 12, 4);
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t('2.9534086394e+225110078', '8.722622591246883914133438987850898330671972588389730184309208739334634887878346367329202E+450220156', 11, 4);
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t('2.2293525e-29', '4.970012461272812033092318803761409304947044073671573877964943E-58', 8, 0);
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t('2.12326974896414051580077536570530341003518e+129130', '4.5082744268662442849713715921E+258260', 42, 3);
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t('2.5833750802158470838638220584e+18913396', '6.6738268050802343551355260020766554923882450343012342734378848E+37826792', 30, 1);
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t('1.0482628915520200483e+1', '109.8855089805002144728403440947030093340246871753530', 20, 5);
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t('1.49777148251106029879789692329117828615e-494834655520847', '2.24331941382337940650496041556953252175484515884385876892851088684239094331708000189663420216840E-989669311041694', 39, 5);
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t('6.95456711664340560996070853420178762114841e-38627491422785', '4.8366003779897772450979302026969538397871395603455798715295598491356099722574E-77254982845569', 42, 3);
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t('3.10149148573625247e-4', '9.6192494360944667705321067387464882437575358E-8', 18, 5);
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t('1.9575110120741046328968e+257921497', '3.83184936239138541387679462617387283711241414931326900113204911095477961E+515842994', 23, 0);
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t('7.7671e+1441473951', '6.0327727774912176230101E+2882947903', 5, 6);
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t('1.55009951392721507762173021041426457646284757348955667596e+4760', '2.40280850307738845039513019493014927568794808938729593338641386181207198737391954656000091310896E+9520', 57, 3);
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t('6.97734691743388618569498e-29', '4.8683370006224153769363821987754694567429898400322317885097538299174433336292355572118157532513893E-57', 24, 4);
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t('1.4993331851193049612203995625656077760057082447306644612348e+2339610533576283', '2.2480E+4679221067152566', 59, 3);
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t('6.04693544698469e-220', '3.65654283E-439', 15, 1);
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|
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t('4.92955e+230982431475', '2.4300466966592452130220374934414E+461964862951', 7, 6);
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t('3.0764244910060828198383307889390376085e+4181965985826', '9.46438764886203575285E+8363931971652', 38, 0);
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|
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t('7.4513572904573959e+293', '5.5522725470052584411450816E+587', 17, 0);
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t('1.245345961467927340281476373719978090064081519e+42', '1.550886563744476367740974406041099100674095756961953547612335899E+84', 46, 1);
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t('1.5499077392523e-4', '2.40221400019421603693694579636622069903401E-8', 14, 5);
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|
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t('3.07185786e+12919', '9.43631065159385809410362801786965384978640704874013E+25838', 9, 0);
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|
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t('2.361286043755e+281976835', '5.5756717804303509418805557E+563953670', 13, 5);
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t('5.47722557505166113456969782800802e+405615457129', '3E+811230914259', 33, 6);
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t('1.7178698335153e+144561611584745', '2.9510767649015787272590443004662758146251322168953340785510127474489250982992775086288323854164153E+289123223169490', 14, 2);
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t('2.2011e+12378959348', '4.84515086803287598716648233379771635161708841282201798840424143306973602425697887937893645861532E+24757918696', 5, 3);
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t('3.071695622941830478526650605376658041302645824732e+28109511538117', '9.435314E+56219023076234', 49, 2);
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|
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t('2.307714697590689989764e+284', '5.325547125476089750844425629104815411440491176993481E+568', 22, 0);
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t('2.5862546754279728496914821072086e-33773833', '6.6887132461730491917584965749675495749719281864675587283858319408183402627833958E-67547666', 32, 3);
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t('5.74069223118780469804395537303763292412320069e-28', '3.295554729322001530304774161762307365140729343455866587659018918667945699638475469150683153123653323E-55', 45, 5);
|
|
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t('2.53435553329728248339409747785119424231260889160560714e+25943171346', '6.422957969154553102396E+51886342692', 54, 2);
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|
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t('1.4069894208184455429860946489038258613329117231491e+114452', '1.979619230295024840325033863086398472578753367030579325792446632992E+228904', 50, 0);
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t('1.118294004710828525178841841394721727540545598338176097e+1', '125.058148097218257166460091', 55, 4);
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|
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t('5.888425440747775688e+2065204358486413', '3.467355417124563636358862403139990401147625419807197821070468E+4130408716972827', 19, 0);
|
|
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t('3.0558360616281147776649165585589148e+202', '9.3381340355468272974654269623217477382915449047483811417E+404', 35, 4);
|
|
|
|
|
t('8.49192304e+1387453895', '7.2112757E+2774907791', 9, 4);
|
|
|
|
|
t('1.6985163959801521e+3936837', '2.88495794741340509204059372399499124467343954532861012543791870383E+7873674', 17, 3);
|
|
|
|
|
t('4.991092064869170494e-124451984', '2.4911E-248903967', 19, 0);
|
|
|
|
|
t('5.9823664195735900053440901869404771842353600892916293363151e+2227900957', '3.57887079780417347338180368431509195268242653234667944437089019357950841991042084010E+4455801915', 59, 0);
|
|
|
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t('1.90934970073455410278410575623977888122382805484e+422554664715', '3.6456162796951313121087727108063524737724086412612828706606881122179782708607529986314383405E+845109329430', 48, 1);
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|
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|
t('2.599310207388995318083e+398467', '6.75641355423662185068716628560209294936028E+796934', 22, 6);
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|
|
|
|
t('3.7633102634136297417364966e+778600439757179', '1.416250413871436327348908304665878915237348394E+1557200879514359', 26, 0);
|
|
|
|
|
t('1.2047068181e+31361471610', '1.45131851760962261131924534974E+62722943220', 11, 4);
|
|
|
|
|
t('4.35951628054340993989341222113828625466454197009e-21152924900022', '1.90053822003230473596535984483816E-42305849800043', 48, 6);
|
|
|
|
|
t('1.576844611205999099662237540201844126209316481620105534e+335357340260426', '2.486438927889398461388938E+670714680520852', 55, 1);
|
|
|
|
|
t('3e-414034', '6.47961009652494321346331325444614339994562352820030434758628977937286889619097368135E-828068', 1, 2);
|
|
|
|
|
t('2.7450159803706115172884307982554068123557452994357916574e+29493402848956', '7.535112732490029474794930517417328483099871453263111571224994801873955541077813E+58986805697912', 56, 1);
|
|
|
|
|
t('8.450708163926728117884231904577733365414280601e-3356220959', '7.1414468471857852311230634694477427663911004991250862311231174531532437446075636178902521E-6712441917', 46, 2);
|
|
|
|
|
t('2.21717604626595076e+2233028', '4.91586962013551338731303957E+4466056', 18, 2);
|
2016-02-06 17:51:29 +00:00
|
|
|
});
|
