tests/testthat/_snaps/xy2array.md

In BAAQMD/aertools: Provides Tools for Reading AERMOD Output

xy2array works on single PLT file

structure(c(1.01471, 1.02863, 1.04286, 1.0575, 1.07264, 1.08836, 
1.10469, 1.12166, 1.13926, 1.15746, 1.17621, 1.19545, 1.21512, 
1.23519, 1.2556, 1.27635, 1.29742, 1.31881, 1.34051, 1.36249, 
1.38469, 1.40701, 1.42931, 1.45144, 1.47317, 1.49431, 1.51467, 
1.53406, 1.55238, 1.56957, 1.58566, 1.60075, 1.61498, 1.62855, 
1.64166, 1.65453, 1.66732, 1.68017, 1.69318, 1.70641, 1.71988, 
1.73359, 1.74753, 1.76166, 1.77592, 1.79022, 1.80445, 1.81848, 
1.83217, 1.84535, 1.85789, 1.86962, 1.8804, 1.89003, 1.8983, 
1.90495, 1.90969, 1.91228, 1.91249, 1.91021, 1.9055, 1.89855, 
1.88972, 1.87946, 1.86828, 1.85666, 1.84501, 1.83362, 1.82269, 
1.8123, 1.80252, 1.79332, 1.78468, 1.77657, 1.7689, 1.76154, 
1.75431, 1.74698, 1.73931, 1.73105, 1.72198, 1.71197, 1.70095, 
1.68895, 1.67609, 1.66253, 1.64847, 1.63411, 1.61963, 1.6052, 
1.5909, 1.57679, 1.56291, 1.54924, 1.53576, 1.5224, 1.50913, 
1.4959, 1.48263, 1.4693, 1.45583, 1.44219, 1.42834, 1.41423, 
1.39983, 1.38511, 1.37007, 1.35468, 1.33895, 1.32289, 1.30651, 
1.28984, 1.27293, 1.25581, 1.23857, 1.22125, 1.20394, 1.18673, 
1.16968, 1.15288, 1.13639, 1.12028, 1.1046, 1.08937, 1.0746, 
1.0603, 1.01856, 0.985282, 0.975456, 1.02415, 1.03835, 1.0528, 
1.0676, 1.08285, 1.09864, 1.11504, 1.13208, 1.14979, 1.16814, 
1.1871, 1.20661, 1.22662, 1.24706, 1.2679, 1.2891, 1.31063, 1.3325, 
1.3547, 1.3772, 1.39995, 1.42288, 1.44587, 1.46875, 1.49132, 
1.51338, 1.53471, 1.55512, 1.57447, 1.59266, 1.6097, 1.62564, 
1.64062, 1.65483, 1.66848, 1.68178, 1.69494, 1.70811, 1.72141, 
1.73491, 1.74865, 1.76264, 1.77686, 1.79129, 1.80586, 1.8205, 
1.8351, 1.84952, 1.86361, 1.87721, 1.89017, 1.90232, 1.9135, 
1.92352, 1.93214, 1.9391, 1.94412, 1.94691, 1.94724, 1.94501, 
1.94024, 1.93315, 1.92409, 1.91355, 1.90206, 1.89011, 1.87812, 
1.86642, 1.8552, 1.84457, 1.83455, 1.82515, 1.81634, 1.80807, 
1.80023, 1.79268, 1.78522, 1.77762, 1.7696, 1.76092, 1.75136, 
1.74079, 1.72918, 1.71658, 1.70313, 1.689, 1.67441, 1.65957, 
1.64466, 1.62983, 1.61516, 1.60071, 1.58649, 1.57248, 1.55863, 
1.54491, 1.53124, 1.51758, 1.50387, 1.49005, 1.47607, 1.46189, 
1.44746, 1.43274, 1.4177, 1.40234, 1.38662, 1.37054, 1.35412, 
1.33736, 1.3203, 1.30296, 1.28541, 1.26769, 1.24989, 1.23206, 
1.2143, 1.1967, 1.17932, 1.16226, 1.14557, 1.1293, 1.1135, 1.09817, 
1.08332, 1.06631, 1.0148, 0.994953, 0.991185, 1.03362, 1.04817, 
1.06291, 1.07793, 1.09334, 1.10923, 1.12571, 1.14282, 1.16061, 
1.17909, 1.19823, 1.21799, 1.2383, 1.25911, 1.28036, 1.30201, 
1.32402, 1.34639, 1.3691, 1.39212, 1.41544, 1.43899, 1.46265, 
1.48627, 1.50968, 1.53267, 1.55499, 1.57645, 1.59686, 1.61611, 
1.63416, 1.65103, 1.66684, 1.68176, 1.69601, 1.70981, 1.72338, 
1.7369, 1.75051, 1.7643, 1.77832, 1.79259, 1.80711, 1.82184, 
1.83674, 1.85173, 1.8667, 1.88151, 1.89602, 1.91005, 1.92344, 
1.93603, 1.94762, 1.95804, 1.96703, 1.97432, 1.97962, 1.98263, 
1.9831, 1.98091, 1.97609, 1.96885, 1.95957, 1.94874, 1.93691, 
1.92462, 1.91229, 1.90027, 1.88876, 1.87786, 1.86761, 1.85801, 
1.84901, 1.84056, 1.83255, 1.8248, 1.8171, 1.80919, 1.8008, 1.79165, 
1.78157, 1.77042, 1.75819, 1.74496, 1.73088, 1.71617, 1.70105, 
1.68572, 1.67038, 1.65514, 1.6401, 1.62529, 1.61071, 1.59633, 
1.58211, 1.56798, 1.55389, 1.53978, 1.52558, 1.51124, 1.49671, 
1.48193, 1.46688, 1.45151, 1.43581, 1.41974, 1.40331, 1.38652, 
1.36937, 1.3519, 1.33414, 1.31613, 1.29793, 1.27962, 1.26126, 
1.24295, 1.22476, 1.2068, 1.18913, 1.17183, 1.15496, 1.13855, 
1.12264, 1.10722, 1.06151, 1.04055, 1.01515, 1.00403, 0.999754, 
1.04306, 1.05804, 1.07313, 1.08844, 1.10406, 1.12011, 1.13669, 
1.15389, 1.17177, 1.19035, 1.20964, 1.22961, 1.2502, 1.27135, 
1.293, 1.3151, 1.3376, 1.36047, 1.3837, 1.40728, 1.43117, 1.45533, 
1.47966, 1.50403, 1.52828, 1.55218, 1.57551, 1.59804, 1.61956, 
1.63992, 1.65904, 1.67691, 1.69363, 1.70934, 1.72426, 1.73862, 
1.75265, 1.76656, 1.78051, 1.79461, 1.80892, 1.82349, 1.83831, 
1.85336, 1.86859, 1.88394, 1.89928, 1.9145, 1.92943, 1.9439, 
1.95774, 1.97077, 1.98281, 1.99364, 2.00302, 2.01067, 2.01626, 
2.0195, 2.02012, 2.01799, 2.01312, 2.00573, 1.99621, 1.98507, 
1.9729, 1.96024, 1.94757, 1.93521, 1.9234, 1.91223, 1.90174, 
1.89193, 1.88274, 1.87411, 1.8659, 1.85794, 1.84998, 1.84174, 
1.83293, 1.82329, 1.81264, 1.80087, 1.78799, 1.7741, 1.75939, 
1.74409, 1.72842, 1.7126, 1.6968, 1.68116, 1.66573, 1.65055, 
1.63559, 1.62083, 1.6062, 1.59165, 1.5771, 1.56249, 1.54776, 
1.53286, 1.51773, 1.50232, 1.48661, 1.47055, 1.45412, 1.43732, 
1.42015, 1.4026, 1.38471, 1.3665, 1.34803, 1.32934, 1.3105, 1.29159, 
1.27271, 1.25393, 1.23535, 1.21705, 1.19912, 1.18162, 1.16458, 
1.14806, 1.10916, 1.08316, 1.06608, 1.04766, 1.0267, 1.01296, 
1.0006, 1.05243, 1.06789, 1.08342, 1.09909, 1.11499, 1.13126, 
1.14799, 1.1653, 1.18326, 1.20194, 1.22136, 1.2415, 1.26234, 
1.2838, 1.30584, 1.32837, 1.35135, 1.37474, 1.39852, 1.42266, 
1.44714, 1.47191, 1.49692, 1.52204, 1.54712, 1.57194, 1.59628, 
1.6199, 1.64256, 1.66407, 1.68433, 1.70328, 1.72098, 1.73757, 
1.75324, 1.76823, 1.78278, 1.79712, 1.81144, 1.82587, 1.8405, 
1.85538, 1.87051, 1.88589, 1.90146, 1.91716, 1.93289, 1.94852, 
1.96389, 1.97882, 1.99312, 2.00662, 2.01911, 2.03038, 2.04017, 
2.04819, 2.0541, 2.05758, 2.05837, 2.05629, 2.05137, 2.04383, 
2.03406, 2.02261, 2.01008, 1.99705, 1.984, 1.9713, 1.95917, 1.94772, 
1.93699, 1.92696, 1.91758, 1.90875, 1.90035, 1.89215, 1.88389, 
1.87529, 1.86603, 1.85586, 1.8446, 1.83218, 1.81861, 1.80405, 
1.78869, 1.77278, 1.75655, 1.74023, 1.72398, 1.70791, 1.69209, 
1.67651, 1.66116, 1.64599, 1.63092, 1.6159, 1.60086, 1.58572, 
1.57042, 1.55491, 1.53913, 1.52305, 1.50662, 1.48982, 1.47264, 
1.45507, 1.43711, 1.41879, 1.40012, 1.38117, 1.36197, 1.34259, 
1.32312, 1.30364, 1.28425, 1.26503, 1.24609, 1.2275, 1.20933, 
1.19164, 1.17447, 1.12606, 1.10783, 1.09037, 1.07369, 1.05704, 
1.04054, 1.02741, 1.00766, 1.06168, 1.07768, 1.09371, 1.10981, 
1.12608, 1.14263, 1.15957, 1.17703, 1.19511, 1.21389, 1.23342, 
1.25372, 1.27476, 1.2965, 1.31889, 1.34184, 1.3653, 1.38922, 
1.41354, 1.43826, 1.46334, 1.48876, 1.51445, 1.54031, 1.56622, 
1.59196, 1.61731, 1.64203, 1.66585, 1.68857, 1.71002, 1.73013, 
1.7489, 1.76645, 1.78295, 1.79865, 1.81378, 1.82861, 1.84334, 
1.85813, 1.8731, 1.8883, 1.90376, 1.91946, 1.93538, 1.95146, 
1.96758, 1.98364, 1.99945, 2.01485, 2.02964, 2.04362, 2.05659, 
2.06831, 2.07853, 2.08694, 2.09318, 2.09693, 2.09788, 2.09587, 
2.09091, 2.08321, 2.07318, 2.06141, 2.0485, 2.03508, 2.02165, 
2.00859, 1.99614, 1.9844, 1.97341, 1.96316, 1.95357, 1.94455, 
1.93592, 1.92747, 1.9189, 1.90989, 1.90015, 1.88941, 1.8775, 
1.86438, 1.8501, 1.83484, 1.81881, 1.80228, 1.78549, 1.76866, 
1.75194, 1.73544, 1.7192, 1.70322, 1.68744, 1.67183, 1.65629, 
1.64077, 1.62519, 1.60947, 1.59356, 1.57739, 1.56092, 1.5441, 
1.52691, 1.50933, 1.49135, 1.47297, 1.4542, 1.43506, 1.41561, 
1.39589, 1.37596, 1.35591, 1.33582, 1.31579, 1.29591, 1.27629, 
1.25701, 1.23816, 1.21978, 1.20193, 1.18463, 1.13425, 1.11556, 
1.09844, 1.08184, 1.06546, 1.04965, 1.03146, 1.01617, 1.07078, 
1.08736, 1.10394, 1.12055, 1.13727, 1.15418, 1.17141, 1.18908, 
1.20731, 1.22621, 1.24585, 1.26628, 1.2875, 1.30949, 1.33219, 
1.35554, 1.37946, 1.40389, 1.42877, 1.45408, 1.47979, 1.50586, 
1.53224, 1.55886, 1.58559, 1.61224, 1.63861, 1.66443, 1.68944, 
1.7134, 1.73611, 1.75744, 1.77737, 1.79597, 1.8134, 1.82989, 
1.84568, 1.86105, 1.87624, 1.89143, 1.90676, 1.9223, 1.9381, 
1.95415, 1.97043, 1.98689, 2.00342, 2.0199, 2.03618, 2.05206, 
2.06735, 2.08184, 2.0953, 2.1075, 2.11817, 2.12698, 2.13358, 
2.13761, 2.13875, 2.13681, 2.13181, 2.12394, 2.11365, 2.10153, 
2.08824, 2.07441, 2.06058, 2.04715, 2.03435, 2.02231, 2.01106, 
2.00057, 1.99077, 1.98154, 1.97268, 1.96395, 1.95503, 1.94559, 
1.93532, 1.92396, 1.91137, 1.89751, 1.88249, 1.8665, 1.84979, 
1.83262, 1.81526, 1.79791, 1.78073, 1.76378, 1.74711, 1.73068, 
1.71446, 1.69837, 1.68233, 1.66626, 1.65009, 1.63375, 1.61716, 
1.60029, 1.58307, 1.56547, 1.54748, 1.52907, 1.51024, 1.49101, 
1.47139, 1.45143, 1.43117, 1.41067, 1.39002, 1.3693, 1.34861, 
1.32805, 1.30773, 1.28774, 1.26816, 1.24907, 1.23051, 1.21251, 
1.16492, 1.14168, 1.12382, 1.10704, 1.09069, 1.0744, 1.05789, 
1.04022, 1.02138, 1.07969, 1.09689, 1.11407, 1.13126, 1.14849, 
1.16586, 1.18346, 1.20141, 1.21985, 1.2389, 1.25866, 1.27921, 
1.30059, 1.32279, 1.34578, 1.36949, 1.39384, 1.41878, 1.44423, 
1.47014, 1.49648, 1.52322, 1.55031, 1.57769, 1.60524, 1.63281, 
1.66019, 1.68713, 1.71334, 1.73857, 1.76258, 1.78521, 1.80639, 
1.82614, 1.84459, 1.86195, 1.87849, 1.89448, 1.91019, 1.92582, 
1.94153, 1.95744, 1.9736, 1.99001, 2.00666, 2.0235, 2.04045, 
2.05738, 2.07413, 2.09051, 2.10632, 2.12132, 2.1353, 2.14801, 
2.15915, 2.16839, 2.17536, 2.17968, 2.18102, 2.17498, 2.57828, 
2.48817, 2.15078, 2.14304, 2.12934, 2.11508, 2.10084, 2.08701, 
2.07387, 2.06152, 2.04999, 2.03926, 2.02924, 2.01978, 2.01067, 
2.00164, 1.99234, 1.98243, 1.97159, 1.95956, 1.94624, 1.93161, 
1.91582, 1.89908, 1.88166, 1.86385, 1.84591, 1.82804, 1.81037, 
1.79296, 1.77583, 1.75894, 1.74223, 1.72563, 1.70904, 1.69238, 
1.67557, 1.65855, 1.64124, 1.6236, 1.60558, 1.58716, 1.5683, 
1.54902, 1.53036, 1.50919, 1.4887, 1.46788, 1.44679, 1.42552, 
1.40415, 1.38278, 1.36152, 1.34047, 1.31974, 1.29941, 1.27956, 
1.26026, 1.24153, 1.22337, 1.16921, 1.14937, 1.13129, 1.11659, 
1.10078, 1.08363, 1.06601, 1.04728, 1.02652, 1.08842, 1.10623, 
1.12405, 1.14186, 1.15969, 1.17759, 1.19564, 1.21397, 1.23269, 
1.25194, 1.27186, 1.29255, 1.31408, 1.33646, 1.35969, 1.38372, 
1.40849, 1.43391, 1.45991, 1.48643, 1.51342, 1.54085, 1.56866, 
1.59681, 1.62519, 1.65368, 1.68207, 1.71012, 1.73755, 1.76408, 
1.78944, 1.81343, 1.83594, 1.85693, 1.87651, 1.89486, 1.91224, 
1.92893, 1.94521, 1.96132, 1.97747, 1.99377, 2.0103, 2.02709, 
2.04413, 2.06137, 2.07875, 2.09613, 2.11337, 2.13026, 2.1466, 
2.16214, 2.17666, 2.18989, 2.20152, 2.21122, 2.21858, 2.22322, 
2.22476, 2.71807, 2.69763, 2.5158, 2.18956, 2.18601, 2.17188, 
2.15718, 2.1425, 2.12827, 2.11475, 2.10208, 2.09027, 2.07929, 
2.06903, 2.05933, 2.04995, 2.04058, 2.03087, 2.02045, 2.00898, 
1.99625, 1.98215, 1.96672, 1.95012, 1.93261, 1.91447, 1.89601, 
1.87748, 1.85907, 1.8409, 1.82301, 1.8054, 1.78802, 1.77079, 
1.75362, 1.73643, 1.71913, 1.70164, 1.68388, 1.66579, 1.64733, 
1.62845, 1.60914, 1.58938, 1.56316, 1.596, 1.55772, 1.49564, 
1.48441, 1.4625, 1.44046, 1.41839, 1.39639, 1.37458, 1.35308, 
1.33196, 1.31133, 1.29125, 1.27175, 1.25207, 1.19751, 1.17632, 
1.14422, 1.13447, 1.12291, 1.10751, 1.09261, 1.07517, 1.05334, 
1.0306, 1.09694, 1.11537, 1.13384, 1.15232, 1.1708, 1.18931, 
1.20791, 1.22669, 1.24578, 1.26532, 1.28545, 1.30631, 1.32798, 
1.35052, 1.37397, 1.39829, 1.42342, 1.4493, 1.47584, 1.50296, 
1.53061, 1.55874, 1.58729, 1.61622, 1.64545, 1.67485, 1.70425, 
1.73341, 1.76207, 1.78992, 1.81668, 1.8421, 1.86602, 1.88836, 
1.90918, 1.92863, 1.94694, 1.96441, 1.98134, 1.998, 2.01461, 
2.03134, 2.04827, 2.06545, 2.08289, 2.10055, 2.11836, 2.13621, 
2.15394, 2.17136, 2.18825, 2.20436, 2.21944, 2.23321, 2.24536, 
2.25553, 2.26331, 2.26827, 2.27005, 2.76667, 2.74873, 2.6333, 
2.33573, 2.23049, 2.21592, 2.20075, 2.18562, 2.17097, 2.15707, 
2.14407, 2.13196, 2.12072, 2.11021, 2.10025, 2.09057, 2.08084, 
2.07067, 2.05968, 2.04755, 2.03406, 2.01915, 2.00287, 1.98544, 
1.96713, 1.94827, 1.92915, 1.91002, 1.89106, 1.87236, 1.85397, 
1.83585, 1.81793, 1.80014, 1.78237, 1.76453, 1.74653, 1.72828, 
1.70972, 1.69079, 1.67145, 1.65166, 1.6314, 1.63969, 1.68341, 
1.65585, 1.61989, 1.58186, 1.54382, 1.49948, 1.4365, 1.41981, 
1.38812, 1.36441, 1.32925, 1.29821, 1.278, 1.25641, 1.24008, 
1.21937, 1.18931, 1.17057, 1.15522, 1.14097, 1.12886, 1.11298, 
1.0976, 1.08352, 1.05898, 1.03462, 1.10528, 1.1243, 1.14342, 
1.16259, 1.18177, 1.20095, 1.22017, 1.23951, 1.25906, 1.27898, 
1.2994, 1.32046, 1.3423, 1.36502, 1.38865, 1.41322, 1.43869, 
1.46499, 1.49204, 1.51976, 1.54806, 1.5769, 1.60621, 1.63594, 
1.66602, 1.69634, 1.72675, 1.75703, 1.78692, 1.81612, 1.84431, 
1.87122, 1.89663, 1.92042, 1.94258, 1.96324, 1.9826, 2.00096, 
2.01862, 2.03589, 2.05302, 2.0702, 2.08755, 2.10515, 2.123, 2.14109, 
2.15935, 2.17767, 2.19591, 2.21388, 2.23133, 2.24802, 2.26369, 
2.27803, 2.29073, 2.3014, 2.30962, 2.31493, 2.31695, 2.8761, 
2.80807, 2.71636, 2.49937, 2.26208, 2.26154, 2.24589, 2.23029, 
2.21519, 2.20091, 2.18755, 2.17515, 2.16363, 2.15285, 2.14261, 
2.13261, 2.12248, 2.11181, 2.1002, 2.08735, 2.07305, 2.05726, 
2.04011, 2.02182, 2.0027, 1.98309, 1.9633, 1.94356, 1.92403, 
1.9048, 1.88588, 1.86721, 1.84872, 1.83032, 1.81189, 1.79334, 
1.77457, 1.75551, 1.73608, 1.71624, 1.69595, 1.67519, 1.64804, 
1.72282, 1.70457, 1.66995, 1.62878, 1.5852, 1.5405, 1.49883, 
1.45995, 1.43115, 1.40269, 1.35355, 1.3284, 1.30365, 1.27425, 
1.25061, 1.22781, 1.21366, 1.20261, 1.1865, 1.16759, 1.15202, 
1.13341, 1.11738, 1.10167, 1.08745, 1.06267, 1.03456, 1.11346, 
1.13304, 1.15279, 1.17264, 1.19254, 1.21245, 1.23237, 1.25235, 
1.27247, 1.29286, 1.31365, 1.335, 1.35706, 1.37996, 1.40379, 
1.42858, 1.45434, 1.48102, 1.50855, 1.53683, 1.56578, 1.59533, 
1.6254, 1.65595, 1.68689, 1.71815, 1.74958, 1.78099, 1.81212, 
1.84268, 1.87235, 1.9008, 1.92777, 1.9531, 1.97673, 1.99871, 
2.01924, 2.03859, 2.05707, 2.07502, 2.09273, 2.1104, 2.12821, 
2.14624, 2.16452, 2.18305, 2.20177, 2.22059, 2.23936, 2.25788, 
2.27592, 2.29322, 2.3095, 2.32444, 2.33771, 2.3489, 2.35758, 
2.36328, 2.36325, 2.92842, 2.88996, 2.79613, 2.61395, 2.46067, 
2.31019, 2.29268, 2.27657, 2.26102, 2.24632, 2.22806, 2.18847, 
2.17451, 2.19703, 2.18649, 2.17614, 2.16556, 2.15434, 2.14207, 
2.12844, 2.11327, 2.09657, 2.07849, 2.05931, 2.03936, 2.019, 
1.99852, 1.97816, 1.95805, 1.93826, 1.91877, 1.89951, 1.8804, 
1.86133, 1.84218, 1.82285, 1.80326, 1.78331, 1.76295, 1.74214, 
1.72084, 1.68905, 1.73101, 1.72344, 1.71567, 1.68124, 1.63665, 
1.57952, 1.52656, 1.47916, 1.4559, 1.42766, 1.39078, 1.3586, 
1.33477, 1.30224, 1.27974, 1.26146, 1.24089, 1.22539, 1.21967, 
1.20788, 1.18661, 1.17286, 1.14929, 1.12255, 1.10595, 1.09005, 
1.06145, 1.03426, 1.1215, 1.1416, 1.16195, 1.18247, 1.20308, 
1.22375, 1.24443, 1.26514, 1.28593, 1.30689, 1.32816, 1.34989, 
1.37223, 1.39536, 1.41939, 1.4444, 1.47042, 1.49744, 1.52539, 
1.55421, 1.58379, 1.61404, 1.64488, 1.67626, 1.70809, 1.7403, 
1.77277, 1.80531, 1.8377, 1.86963, 1.90079, 1.93083, 1.95944, 
1.9864, 2.01159, 2.03503, 2.05684, 2.0773, 2.09672, 2.11544, 
2.13378, 2.152, 2.17029, 2.18878, 2.20752, 2.22651, 2.24572, 
2.26504, 2.28435, 2.30345, 2.3221, 2.34003, 2.35695, 2.37252, 
2.38639, 2.39814, 2.40732, 2.41341, 2.48961, 3.01552, 2.96688, 
2.8966, 2.74462, 2.6298, 2.49922, 2.40958, 2.355, 2.32804, 2.30543, 
2.2916, 2.283, 2.25968, 2.24066, 2.21135, 2.22122, 2.21016, 2.19834, 
2.18534, 2.17087, 2.15478, 2.13711, 2.11807, 2.09797, 2.07718, 
2.05604, 2.03486, 2.01386, 1.99315, 1.97277, 1.95267, 1.93279, 
1.913, 1.8932, 1.87327, 1.85309, 1.83259, 1.81169, 1.79032, 1.76846, 
1.73953, 1.80012, 1.77795, 1.77046, 1.73004, 1.69269, 1.64438, 
1.588, 1.53687, 1.49442, 1.46631, 1.42829, 1.39359, 1.36484, 
1.33561, 1.31114, 1.29278, 1.27236, 1.26505, 1.24332, 1.23686, 
1.22171, 1.20203, 1.18312, 1.16089, 1.12881, 1.10869, 1.08954, 
1.0608, 1.03353, 1.12945, 1.15001, 1.17091, 1.19206, 1.21339, 
1.23482, 1.2563, 1.27781, 1.29935, 1.32099, 1.34285, 1.36506, 
1.38779, 1.41121, 1.43548, 1.46071, 1.48697, 1.51429, 1.54263, 
1.57194, 1.60211, 1.63305, 1.66467, 1.69689, 1.72963, 1.76281, 
1.79633, 1.83001, 1.86366, 1.89698, 1.92966, 1.96132, 1.99163, 
2.02031, 2.04717, 2.07218, 2.09542, 2.11712, 2.13758, 2.15716, 
2.17622, 2.19505, 2.21388, 2.23287, 2.25209, 2.27156, 2.29126, 
2.31112, 2.33099, 2.35069, 2.36997, 2.38856, 2.40614, 2.42236, 
2.43687, 2.44921, 2.45891, 2.46543, 2.59919, 3.08263, 3.0405, 
2.97963, 2.88559, 2.73754, 2.64363, 2.56334, 2.49575, 2.4605, 
2.42392, 2.39404, 2.369, 2.34383, 2.32196, 2.27361, 2.26792, 
2.25633, 2.24385, 2.23007, 2.21469, 2.19762, 2.17895, 2.15891, 
2.13787, 2.1162, 2.09428, 2.07239, 2.05072, 2.02938, 2.00837, 
1.98763, 1.96706, 1.94654, 1.92594, 1.90515, 1.88406, 1.86257, 
1.84063, 1.81819, 1.79325, 1.86573, 1.86285, 1.82536, 1.78561, 
1.7463, 1.70155, 1.65538, 1.60416, 1.55687, 1.51215, 1.47059, 
1.43223, 1.39904, 1.36285, 1.3239, 1.30878, 1.3022, 1.29346, 
1.27362, 1.2649, 1.25107, 1.22832, 1.2084, 1.18867, 1.15958, 
1.13219, 1.1116, 1.08834, 1.06731, 1.03065, 1.13733, 1.15832, 
1.17971, 1.20146, 1.22346, 1.24565, 1.26794, 1.29027, 1.31264, 
1.33507, 1.35763, 1.38044, 1.40367, 1.42747, 1.45204, 1.47752, 
1.50402, 1.53162, 1.56031, 1.59006, 1.62079, 1.6524, 1.68478, 
1.71785, 1.75151, 1.78568, 1.82026, 1.85511, 1.89003, 1.92475, 
1.95896, 1.99227, 2.02433, 2.0548, 2.08345, 2.11016, 2.13496, 
2.15803, 2.17968, 2.20025, 2.22012, 2.23963, 2.25904, 2.27856, 
2.29828, 2.31827, 2.3385, 2.3589, 2.37936, 2.39968, 2.41962, 
2.43888, 2.45715, 2.47407, 2.48924, 2.5022, 2.51245, 2.51943, 
2.52262, 3.16265, 3.11828, 3.05691, 2.96631, 2.86368, 2.77839, 
2.68345, 2.60494, 2.59226, 2.54102, 2.49431, 2.45268, 2.42548, 
2.41613, 2.43163, 2.39415, 2.27653, 2.29096, 2.27631, 2.25996, 
2.24185, 2.22212, 2.20105, 2.17904, 2.15649, 2.13376, 2.11114, 
2.08879, 2.06679, 2.04511, 2.02368, 2.00236, 1.98104, 1.95957, 
1.93784, 1.91574, 1.89319, 1.87014, 1.8356, 1.95416, 1.91789, 
1.88209, 1.84846, 1.80376, 1.75765, 1.70974, 1.66373, 1.61358, 
1.56465, 1.51709, 1.47667, 1.43847, 1.40803, 1.38209, 1.35702, 
1.33429, 1.32329, 1.30842, 1.29834, 1.27878, 1.25232, 1.23233, 
1.21115, 1.19199, 1.16508, 1.13641, 1.11256, 1.08528, 1.05983, 
1.03447, 1.14518, 1.16654, 1.18839, 1.21068, 1.23332, 1.25623, 
1.27931, 1.30251, 1.32575, 1.34904, 1.37242, 1.39596, 1.4198, 
1.4441, 1.46906, 1.49484, 1.52162, 1.54948, 1.57849, 1.60865, 
1.63988, 1.67212, 1.70525, 1.73916, 1.77375, 1.80892, 1.84459, 
1.88061, 1.91681, 1.95294, 1.98869, 2.02369, 2.05755, 2.08989, 
2.12042, 2.14895, 2.17546, 2.20007, 2.22304, 2.24472, 2.2655, 
2.28577, 2.30584, 2.32594, 2.34622, 2.36674, 2.38752, 2.40849, 
2.42955, 2.45051, 2.47112, 2.49109, 2.51009, 2.52772, 2.54359, 
2.55721, 2.56805, 2.57552, 2.57907, 3.20365, 3.18892, 3.13529, 
3.0598, 2.98527, 2.86016, 2.76128, 2.70905, 2.67878, 2.63077, 
2.5773, 2.53109, 2.49775, 2.48979, 2.49687, 2.48713, 2.48269, 
2.47519, 2.43192, 2.30654, 2.28755, 2.2667, 2.24457, 2.22156, 
2.1981, 2.17456, 2.15119, 2.12813, 2.10543, 2.08303, 2.06084, 
2.03871, 2.01651, 1.99409, 1.97133, 1.94814, 1.92445, 1.9088, 
2.00831, 1.98218, 1.9497, 1.90855, 1.86331, 1.81602, 1.76751, 
1.71658, 1.66673, 1.61504, 1.56238, 1.51441, 1.46549, 1.44351, 
1.41775, 1.39506, 1.37686, 1.35797, 1.34352, 1.33018, 1.31357, 
1.2836, 1.27269, 1.2487, 1.22208, 1.19373, 1.16195, 1.13214, 
1.10702, 1.08025, 1.05641, 1.04798, 1.15303, 1.17473, 1.19699, 
1.21977, 1.24299, 1.26657, 1.29043, 1.31447, 1.33863, 1.36284, 
1.38712, 1.4115, 1.43608, 1.46102, 1.48648, 1.51266, 1.53975, 
1.56791, 1.59722, 1.62774, 1.65945, 1.69227, 1.7261, 1.76083, 
1.79635, 1.83255, 1.86932, 1.90653, 1.94402, 1.98157, 2.01888, 
2.05558, 2.09128, 2.12556, 2.15807, 2.18856, 2.21693, 2.24322, 
2.26766, 2.2906, 2.31243, 2.33357, 2.35437, 2.37511, 2.39598, 
2.41708, 2.43843, 2.45999, 2.48167, 2.50328, 2.5246, 2.5453, 
2.56505, 2.58345, 2.60005, 2.61437, 2.62583, 2.63382, 2.63775, 
3.09578, 3.26093, 3.21665, 3.15463, 3.06464, 2.92325, 2.87034, 
2.81571, 2.74319, 2.71008, 2.65731, 2.61307, 2.57819, 2.56153, 
2.56569, 2.55826, 2.54509, 2.50799, 2.45688, 2.45539, 2.38438, 
2.30453, 2.28953, 2.2655, 2.24111, 2.21673, 2.19258, 2.16878, 
2.14534, 2.12217, 2.09915, 2.07613, 2.05296, 2.0295, 2.00563, 
1.98126, 1.96436, 1.99867, 2.02311, 2.00419, 1.96951, 1.9254, 
1.87765, 1.8273, 1.77554, 1.72186, 1.66522, 1.60834, 1.55208, 
1.49532, 1.45843, 1.44649, 1.42718, 1.40351, 1.38969, 1.37147, 
1.35619, 1.34437, 1.32631, 1.30085, 1.27746, 1.24703, 1.22082, 
1.19307, 1.15994, 1.12692, 1.09459, 1.07377, 1.04992, 1.04055, 
1.16088, 1.18291, 1.20555, 1.22876, 1.2525, 1.27671, 1.30129, 
1.32616, 1.35123, 1.37641, 1.40166, 1.42698, 1.45243, 1.47813, 
1.50423, 1.53092, 1.55842, 1.5869, 1.61654, 1.64741, 1.67953, 
1.71288, 1.74738, 1.78291, 1.81934, 1.85656, 1.89445, 1.93287, 
1.97167, 2.01065, 2.04953, 2.08796, 2.12553, 2.16181, 2.1964, 
2.22897, 2.25933, 2.28748, 2.31358, 2.33794, 2.36096, 2.38308, 
2.4047, 2.42616, 2.44767, 2.46937, 2.49132, 2.5135, 2.53582, 
2.55811, 2.58015, 2.60162, 2.62215, 2.64134, 2.65872, 2.67377, 
2.6859, 2.69445, 2.69879, 2.69797, 3.35401, 3.31297, 3.2533, 
3.1673, 3.0796, 2.98663, 2.90866, 2.83968, 2.77931, 2.72726, 
2.6861, 2.65569, 2.63874, 2.63142, 2.61504, 2.59717, 2.56359, 
2.57183, 2.54615, 2.50846, 2.40896, 2.30036, 2.30232, 2.28561, 
2.26036, 2.2354, 2.21082, 2.18657, 2.16256, 2.13864, 2.11465, 
2.09042, 2.06582, 2.03458, 2.03187, 2.03081, 2.05307, 2.04256, 
2.02504, 1.9859, 1.939, 1.8907, 1.83924, 1.78349, 1.72825, 1.63542, 
1.53559, 1.5037, 1.4616, 1.43396, 1.46186, 1.44222, 1.41655, 
1.39558, 1.3786, 1.36135, 1.34953, 1.32383, 1.29351, 1.28004, 
1.23958, 1.21241, 1.1797, 1.14521, 1.11069, 1.09976, 1.05095, 
1.04534, 1.03762, 1.16877, 1.19111, 1.21409, 1.2377, 1.26191, 
1.28669, 1.31194, 1.3376, 1.36355, 1.38969, 1.41596, 1.4423, 
1.46874, 1.49533, 1.52221, 1.54955, 1.57757, 1.60647, 1.63646, 
1.66768, 1.7002, 1.73405, 1.76916, 1.80544, 1.84276, 1.88099, 
1.91999, 1.95963, 1.99976, 2.04019, 2.08066, 2.12084, 2.16032, 
2.19866, 2.2354, 2.27017, 2.30269, 2.33287, 2.3608, 2.38676, 
2.41113, 2.43438, 2.45693, 2.47917, 2.50137, 2.52372, 2.5463, 
2.56912, 2.59211, 2.61511, 2.6379, 2.66016, 2.68151, 2.70153, 
2.71973, 2.73556, 2.74839, 2.75753, 2.76232, 2.76222, 3.3777, 
3.38615, 3.33164, 3.26157, 3.18233, 3.07999, 2.99491, 2.91494, 
2.84999, 2.79867, 2.75597, 2.72821, 2.71274, 2.68819, 2.67284, 
2.66643, 2.6538, 2.65578, 2.62174, 2.5537, 2.49093, 2.39184, 
2.3264, 2.31272, 2.25691, 2.27971, 2.25429, 2.22918, 2.20425, 
2.17934, 2.15427, 2.12889, 2.12966, 2.1292, 2.11093, 2.09443, 
2.07769, 2.05331, 2.03303, 1.99728, 1.92417, 1.90401, 1.85167, 
1.79921, 1.74093, 1.67208, 1.53597, 1.44667, 1.38733, 1.37734, 
1.48194, 1.45695, 1.4248, 1.39896, 1.37051, 1.35575, 1.33238, 
1.30864, 1.28212, 1.26821, 1.2223, 1.18969, 1.16078, 1.13011, 
1.10935, 1.07597, 1.04181, 1.05382, 1.03811, 1.17669, 1.19933, 
1.22263, 1.24661, 1.27126, 1.29655, 1.32242, 1.3488, 1.37559, 
1.40268, 1.42997, 1.45739, 1.4849, 1.51251, 1.54032, 1.56846, 
1.59714, 1.62657, 1.65699, 1.68859, 1.72151, 1.75582, 1.7915, 
1.82848, 1.86664, 1.90585, 1.94597, 1.98684, 2.02832, 2.07021, 
2.11229, 2.15424, 2.19566, 2.23611, 2.27509, 2.31217, 2.34699, 
2.37938, 2.40935, 2.4371, 2.463, 2.48751, 2.51111, 2.53422, 2.55718, 
2.58023, 2.60348, 2.62698, 2.65067, 2.67441, 2.69798, 2.72106, 
2.74327, 2.76416, 2.78322, 2.79988, 2.81346, 2.82324, 2.82851, 
2.82868, 3.3836, 3.47978, 3.41476, 3.33489, 3.24946, 3.16732, 
3.07834, 2.99221, 2.91809, 2.86582, 2.82356, 2.79707, 2.78344, 
2.7424, 2.7678, 2.77228, 2.72091, 2.73801, 2.68591, 2.57106, 
2.50087, 2.43607, 2.3973, 2.36772, 2.31443, 2.2863, 2.26076, 
2.24049, 2.22297, 2.19758, 2.20234, 2.22845, 2.24199, 2.19396, 
2.17783, 2.1521, 2.12203, 2.0852, 2.04355, 2.00242, 1.95778, 
1.91497, 1.86272, 1.80536, 1.74065, 1.68726, 1.63698, 1.60092, 
1.54363, 1.47414, 1.48684, 1.39915, 1.34794, 1.39021, 1.34079, 
1.31012, 1.29071, 1.26903, 1.25832, 1.25438, 1.18397, 1.16127, 
1.16644, 1.12028, 1.08471, 1.0335, 1.03024, 1.04565, 1.01176, 
1.18464, 1.20758, 1.2312, 1.25553, 1.28058, 1.30634, 1.33277, 
1.35981, 1.38738, 1.41537, 1.44367, 1.47218, 1.50082, 1.52956, 
1.55843, 1.58753, 1.61703, 1.64714, 1.67811, 1.71017, 1.74351, 
1.77826, 1.81446, 1.85208, 1.89104, 1.9312, 1.97241, 2.01451, 
2.05734, 2.10072, 2.14443, 2.18818, 2.23158, 2.27419, 2.31549, 
2.35498, 2.39225, 2.42702, 2.45921, 2.48896, 2.51658, 2.54252, 
2.5673, 2.5914, 2.61522, 2.63904, 2.66302, 2.68723, 2.71165, 
2.73615, 2.76053, 2.78446, 2.80757, 2.82937, 2.84934, 2.86687, 
2.88125, 2.89172, 2.89751, 2.89798, 3.30887, 3.55403, 3.49679, 
3.41618, 3.33794, 3.24679, 3.15625, 3.06731, 2.99168, 2.93394, 
2.89211, 2.86476, 2.83737, 2.81942, 2.85609, 2.85607, 2.83311, 
2.81203, 2.7254, 2.61984, 2.54151, 2.49724, 2.44362, 2.40616, 
2.36982, 2.3482, 2.33005, 2.30954, 2.3057, 2.28555, 2.28196, 
2.29646, 2.33399, 2.30613, 2.21289, 2.18619, 2.15072, 2.10792, 
2.07229, 2.02998, 1.98266, 1.92764, 1.87231, 1.81659, 1.76096, 
1.70602, 1.65266, 1.61189, 1.57596, 1.55637, 1.51577, 1.38432, 
1.34238, 1.3601, 1.3621, 1.30747, 1.21295, 1.17233, 1.24167, 
1.20632, 1.13655, 1.13793, 1.10707, 1.09036, 1.02659, 0.996217, 
1.00384, 1.01375, 1.00383, 1.19263, 1.21586, 1.2398, 1.26448, 
1.28991, 1.3161, 1.34304, 1.37068, 1.39896, 1.42779, 1.45706, 
1.48665, 1.51705, 1.55149, 1.58466, 1.60663, 1.63712, 1.66809, 
1.69976, 1.73239, 1.76621, 1.80141, 1.83811, 1.87633, 1.91603, 
1.95708, 1.99935, 2.04266, 2.08686, 2.14301, 2.17712, 2.22269, 
2.26811, 2.31291, 2.35659, 2.3986, 2.43845, 2.47577, 2.51038, 
2.54233, 2.57188, 2.59947, 2.62561, 2.65084, 2.67561, 2.70027, 
2.72503, 2.75, 2.77519, 2.80049, 2.8257, 2.85052, 2.87455, 2.89732, 
2.91824, 2.93669, 2.95193, 2.96313, 2.96948, 2.97028, 3.17428, 
3.5812, 3.59332, 3.4972, 3.41915, 3.32647, 3.23199, 3.14259, 
3.06365, 3.00388, 2.96162, 2.93627, 2.91728, 2.92307, 2.93412, 
2.93218, 2.91343, 2.86742, 2.71035, 2.73709, 2.64608, 2.53259, 
2.49212, 2.46422, 2.42408, 2.40238, 2.38763, 2.37683, 2.37864, 
2.37372, 2.36116, 2.32689, 2.3561, 2.37127, 2.32155, 2.26274, 
2.20528, 2.1328, 2.09797, 2.04866, 1.99911, 1.9402, 1.88287, 
1.82157, 1.7702, 1.70804, 1.66413, 1.61632, 1.59259, 1.57665, 
1.55406, 1.50642, 1.45741, 1.406, 1.32262, 1.19991, 1.14208, 
1.15376, 1.15014, 1.11262, 1.07388, 1.10745, 1.0421, 1.03457, 
1.00792, 0.920841, 0.967252, 0.987756, 1.00595, 1.20068, 1.22419, 
1.24844, 1.27346, 1.29926, 1.32586, 1.35327, 1.38146, 1.41038, 
1.43998, 1.47015, 1.50078, 1.53173, 1.56289, 1.5942, 1.62564, 
1.6573, 1.6893, 1.72185, 1.75519, 1.7896, 1.82531, 1.86251, 1.9013, 
1.94167, 1.98357, 2.02685, 2.07136, 2.11692, 2.16333, 2.21038, 
2.25781, 2.30526, 2.35231, 2.39842, 2.44302, 2.48557, 2.52561, 
2.56285, 2.59724, 2.62897, 2.65842, 2.68612, 2.71264, 2.73848, 
2.76406, 2.78966, 2.81544, 2.84142, 2.86755, 2.89363, 2.91938, 
2.94438, 2.96815, 2.99008, 3.00952, 3.02566, 3.03765, 3.0446, 
3.04576, 3.04075, 3.57538, 3.67515, 3.59343, 3.49708, 3.40935, 
3.31069, 3.21739, 3.13605, 3.0762, 3.03531, 3.0126, 3.00476, 
3.00981, 3.01635, 3.01145, 2.97606, 2.85912, 2.87404, 2.79147, 
2.66355, 2.61265, 2.56146, 2.51189, 2.48014, 2.45815, 2.44674, 
2.44313, 2.44937, 2.44635, 2.42719, 2.41594, 2.42156, 2.40498, 
2.36531, 2.31145, 2.2517, 2.18549, 2.12556, 2.06945, 2.01013, 
1.93905, 1.88999, 1.83124, 1.76634, 1.7201, 1.6756, 1.62553, 
1.61675, 1.60081, 1.5742, 1.55381, 1.50057, 1.42431, 1.38363, 
1.24624, 1.14064, 1.20542, 1.05408, 1.00548, 1.00424, 1.02806, 
0.987919, 0.977882, 0.97063, 0.866825, 0.928196, 0.974301, 0.983018, 
1.2088, 1.23258, 1.25714, 1.28248, 1.30865, 1.33564, 1.36349, 
1.39217, 1.42169, 1.45199, 1.48299, 1.51459, 1.54664, 1.57903, 
1.61166, 1.64446, 1.67742, 1.71063, 1.74424, 1.77848, 1.81363, 
1.84996, 1.88771, 1.92705, 1.96806, 2.01074, 2.05498, 2.10064, 
2.14755, 2.19549, 2.24424, 2.29354, 2.34306, 2.39237, 2.44096, 
2.48825, 2.53363, 2.57655, 2.61664, 2.65371, 2.68787, 2.71943, 
2.7489, 2.77687, 2.80392, 2.83053, 2.85704, 2.88368, 2.91051, 
2.93751, 2.9645, 2.99121, 3.01724, 3.04205, 3.06505, 3.08552, 
3.10262, 3.11545, 3.12306, 3.12462, 3.11969, 3.51572, 3.68236, 
3.68533, 3.59357, 3.49538, 3.39084, 3.29734, 3.21245, 3.15142, 
3.11254, 3.09194, 3.08636, 3.09115, 3.09801, 3.08712, 3.03514, 
3.00313, 2.92151, 2.82884, 2.73866, 2.66898, 2.5995, 2.56781, 
2.53686, 2.51717, 2.5094, 2.51348, 2.51993, 2.52679, 2.52446, 
2.4899, 2.48368, 2.44904, 2.39681, 2.32581, 2.27891, 2.21462, 
2.14778, 2.08486, 2.0205, 1.94416, 1.88307, 1.84204, 1.77617, 
1.73528, 1.69851, 1.65947, 1.63034, 1.62222, 1.59663, 1.55406, 
1.51181, 1.43116, 1.31961, 1.2772, 1.21508, 1.18713, 1.12806, 
1.04273, 0.977119, 0.955642, 0.951258, 0.911102, 0.929303, 0.866993, 
0.867283, 0.943403, 1.00461, 1.21705, 1.24107, 1.2659, 1.29157, 
1.31808, 1.34546, 1.37372, 1.40287, 1.43293, 1.46387, 1.49563, 
1.52811, 1.56121, 1.59481, 1.62877, 1.66297, 1.69736, 1.73193, 
1.7668, 1.80215, 1.83822, 1.87531, 1.91371, 1.95364, 1.99529, 
2.03869, 2.08384, 2.1306, 2.17881, 2.22826, 2.27872, 2.3299, 
2.38151, 2.43313, 2.48426, 2.53431, 2.58262, 2.62859, 2.67173, 
2.71174, 2.74859, 2.78252, 2.814, 2.84364, 2.87206, 2.89982, 
2.92735, 2.95492, 2.98266, 3.01058, 3.03852, 3.06623, 3.09331, 
3.11922, 3.14334, 3.1649, 3.18304, 3.19677, 3.20508, 3.20708, 
3.20227, 3.39896, 3.43037, 3.66635, 3.66804, 3.58459, 3.47673, 
3.37728, 3.29644, 3.23532, 3.19413, 3.17382, 3.1705, 3.17681, 
3.18196, 3.16161, 3.13522, 3.0724, 2.98593, 2.88873, 2.79449, 
2.68947, 2.64832, 2.62355, 2.59625, 2.57104, 2.57292, 2.58656, 
2.59794, 2.59755, 2.6007, 2.57237, 2.53594, 2.48563, 2.42646, 
2.36116, 2.24629, 2.22342, 2.16023, 2.10029, 2.03396, 1.95312, 
1.88894, 1.83902, 1.79188, 1.74845, 1.72037, 1.69341, 1.63923, 
1.64495, 1.61951, 1.57722, 1.52202, 1.41804, 1.32902, 1.24081, 
1.18224, 1.17151, 1.1663, 1.15292, 1.07632, 0.999692, 0.954372, 
0.914606, 0.92589, 0.85053, 0.891645, 0.969511, 0.997153, 1.22549, 
1.2497, 1.27477, 1.30073, 1.32757, 1.35532, 1.38398, 1.41359, 
1.44415, 1.47567, 1.50811, 1.54141, 1.57549, 1.61023, 1.64549, 
1.68111, 1.71699, 1.75307, 1.78939, 1.82604, 1.86325, 1.9013, 
1.94048, 1.9811, 2.02339, 2.06752, 2.11351, 2.16131, 2.21078, 
2.2617, 2.31383, 2.36692, 2.42064, 2.4746, 2.52832, 2.58119, 
2.63256, 2.68174, 2.72813, 2.77131, 2.81113, 2.84772, 2.88148, 
2.91303, 2.94303, 2.9721, 3.00076, 3.02936, 3.05807, 3.08695, 
3.11589, 3.14464, 3.17281, 3.19987, 3.22516, 3.24789, 3.26712, 
3.28182, 3.29089, 3.29338, 3.2887, 3.2769, 3.25878, 3.23584, 
3.58648, 3.64803, 3.56459, 3.46699, 3.38149, 3.32039, 3.27926, 
3.26007, 3.25749, 3.26467, 3.26844, 3.25206, 3.20931, 3.13136, 
3.03592, 2.94054, 2.82537, 2.73624, 2.71302, 2.67394, 2.61011, 
2.60138, 2.63123, 2.66155, 2.67723, 2.67845, 2.66286, 2.62885, 
2.57972, 2.51101, 2.44292, 2.37043, 2.27934, 2.24954, 2.17869, 
2.11341, 2.03357, 1.94539, 1.88797, 1.85184, 1.81142, 1.77343, 
1.72862, 1.71652, 1.675, 1.63093, 1.63545, 1.57834, 1.50299, 
1.4394, 1.366, 1.26932, 1.18907, 1.15251, 1.16184, 1.15661, 1.10195, 
1.0472, 1.00373, 1.00184, 0.991759, 0.95201, 0.964883, 0.998157, 
0.991275, 1.2342, 1.25854, 1.28381, 1.31001, 1.33715, 1.36524, 
1.39429, 1.42433, 1.45538, 1.48743, 1.5205, 1.55456, 1.58954, 
1.62534, 1.66182, 1.69883, 1.73624, 1.77392, 1.81182, 1.84999, 
1.88856, 1.92779, 1.96796, 2.0094, 2.05243, 2.09729, 2.1441, 
2.19288, 2.24352, 2.29585, 2.34964, 2.40462, 2.46047, 2.51681, 
2.57316, 2.62894, 2.68346, 2.73599, 2.78583, 2.83243, 2.8755, 
2.91505, 2.95142, 2.98516, 3.01697, 3.04754, 3.07747, 3.10718, 
3.13693, 3.16683, 3.1968, 3.22664, 3.25596, 3.28423, 3.31075, 
3.3347, 3.3551, 3.37084, 3.38074, 3.38376, 3.37924, 3.36719, 
3.34844, 3.32456, 3.29718, 3.64212, 3.65042, 3.558, 3.47062, 
3.40766, 3.36753, 3.34955, 3.34828, 3.35647, 3.35654, 3.33421, 
3.27305, 3.17721, 3.07965, 2.9817, 2.86047, 2.77887, 2.77417, 
2.74379, 2.66501, 2.66485, 2.70966, 2.73886, 2.75522, 2.74845, 
2.72051, 2.67598, 2.61792, 2.52825, 2.44827, 2.39749, 2.3378, 
2.26826, 2.19551, 2.11182, 2.03212, 1.92991, 1.8923, 1.87048, 
1.83456, 1.79188, 1.73323, 1.69874, 1.68999, 1.64416, 1.63023, 
1.60513, 1.47943, 1.4122, 1.34775, 1.28647, 1.17952, 1.15346, 
1.1679, 1.15652, 1.1256, 1.0738, 1.05944, 1.06093, 1.04703, 1.03385, 
1.02967, 1.01655, 1.01317, 1.24327, 1.26769, 1.29309, 1.31949, 
1.34687, 1.37527, 1.40468, 1.43513, 1.46663, 1.4992, 1.53287, 
1.56761, 1.60341, 1.64017, 1.6778, 1.71615, 1.75506, 1.79436, 
1.83396, 1.87381, 1.91398, 1.95463, 1.99602, 2.0385, 2.08241, 
2.12807, 2.17569, 2.22539, 2.27714, 2.33082, 2.38622, 2.44307, 
2.50106, 2.5598, 2.61883, 2.67757, 2.73533, 2.79134, 2.8448, 
2.89507, 2.9417, 2.98455, 3.02385, 3.0601, 3.09399, 3.12627, 
3.15763, 3.18857, 3.21945, 3.25043, 3.2815, 3.31248, 3.34301, 
3.37254, 3.40036, 3.42561, 3.44725, 3.4641, 3.4749, 3.4785, 3.47416, 
3.46186, 3.44244, 3.41758, 3.38942, 3.42673, 3.72203, 3.65027, 
3.56375, 3.50004, 3.45879, 3.43939, 3.44145, 3.45215, 3.44555, 
3.41199, 3.33087, 3.21415, 3.1192, 3.03323, 2.88818, 2.83699, 
2.8274, 2.80292, 2.79919, 2.79426, 2.81393, 2.82542, 2.83725, 
2.81564, 2.76946, 2.71988, 2.6422, 2.5569, 2.48262, 2.43411, 
2.36157, 2.28349, 2.20867, 2.03648, 2.00805, 1.96349, 1.90397, 
1.89265, 1.86, 1.81272, 1.74008, 1.70281, 1.68487, 1.65538, 1.57716, 
1.59475, 1.50661, 1.43342, 1.38028, 1.27834, 1.19725, 1.15506, 
1.13852, 1.11943, 1.11453, 1.11655, 1.10871, 1.09784, 1.08275, 
1.06384, 1.04857, 1.02313, 1.0022, 1.25277, 1.27722, 1.3027, 
1.32922, 1.3568, 1.38545, 1.41519, 1.44601, 1.47794, 1.51101, 
1.54524, 1.58062, 1.61716, 1.65481, 1.69349, 1.73309, 1.77343, 
1.81435, 1.8557, 1.89736, 1.93931, 1.98163, 2.02452, 2.06828, 
2.11328, 2.15986, 2.20834, 2.25894, 2.31175, 2.3667, 2.42365, 
2.48233, 2.54244, 2.6036, 2.66534, 2.7271, 2.78818, 2.84778, 
2.90506, 2.95923, 3.00972, 3.05622, 3.09882, 3.13792, 3.1742, 
3.20845, 3.24142, 3.27375, 3.30587, 3.33803, 3.37026, 3.40244, 
3.43422, 3.46507, 3.49426, 3.52088, 3.54384, 3.56188, 3.57365, 
3.5779, 3.57378, 3.56123, 3.54112, 3.5152, 3.48579, 3.44228, 
3.50124, 3.73044, 3.66002, 3.59874, 3.55823, 3.53631, 3.54163, 
3.54896, 3.54138, 3.48968, 3.4031, 3.29064, 3.18107, 3.04594, 
2.92473, 2.89693, 2.89494, 2.80083, 2.84985, 2.88983, 2.89951, 
2.9146, 2.90878, 2.86872, 2.80976, 2.75172, 2.63453, 2.55862, 
2.52429, 2.45408, 2.37878, 2.29926, 2.16932, 2.03231, 1.94572, 
1.91426, 1.92489, 1.91945, 1.88588, 1.81466, 1.72118, 1.68413, 
1.65433, 1.63758, 1.55838, 1.51376, 1.5122, 1.38698, 1.30125, 
1.24955, 1.17749, 1.14601, 1.1521, 1.1057, 1.13143, 1.1287, 1.1158, 
1.08849, 1.0347, 1.04697, 0.960156, 0.97056, 0.984446, 1.26279, 
1.28723, 1.31272, 1.33931, 1.36702, 1.39587, 1.42587, 1.45702, 
1.48936, 1.5229, 1.55765, 1.59364, 1.63086, 1.66932, 1.70896, 
1.74969, 1.79138, 1.83386, 1.87696, 1.9205, 1.96438, 2.0086, 
2.05326, 2.09859, 2.14491, 2.19262, 2.24208, 2.29363, 2.34747, 
2.40364, 2.46206, 2.52251, 2.5847, 2.64826, 2.71273, 2.77755, 
2.84202, 2.90532, 2.96658, 3.02491, 3.07956, 3.13008, 3.17636, 
3.21871, 3.25773, 3.29424, 3.32907, 3.36296, 3.39645, 3.42988, 
3.46335, 3.49679, 3.52989, 3.56212, 3.59275, 3.62083, 3.6452, 
3.66453, 3.67735, 3.6823, 3.67845, 3.66565, 3.6448, 3.61777, 
3.58703, 3.55508, 3.54183, 3.66232, 3.74355, 3.69947, 3.66486, 
3.64839, 3.64445, 3.64564, 3.62809, 3.56828, 3.46195, 3.33507, 
3.22297, 3.05205, 2.94405, 2.92215, 2.89863, 2.94159, 2.91942, 
2.9653, 2.99296, 2.99075, 2.98225, 2.93209, 2.83355, 2.76473, 
2.69157, 2.61111, 2.53231, 2.47771, 2.39625, 2.29481, 2.21503, 
2.12213, 1.98334, 1.89179, 1.89428, 1.94497, 1.91914, 1.8592, 
1.74799, 1.64394, 1.5933, 1.60176, 1.54777, 1.43973, 1.38877, 
1.33565, 1.32723, 1.23531, 1.19955, 1.11723, 1.09077, 1.05045, 
1.07769, 1.06994, 1.11396, 0.97744, 0.981261, 1.00894, 0.911263, 
0.898754, 0.954963, 1.27339, 1.29779, 1.32327, 1.34987, 1.37765, 
1.40662, 1.43682, 1.46825, 1.50094, 1.5349, 1.57014, 1.60669, 
1.64455, 1.68376, 1.72427, 1.76604, 1.80898, 1.85293, 1.89771, 
1.94314, 1.98905, 2.03534, 2.08201, 2.1292, 2.17715, 2.22624, 
2.2769, 2.32952, 2.38442, 2.44176, 2.50157, 2.56371, 2.62792, 
2.69386, 2.76105, 2.82895, 2.89688, 2.964, 3.0294, 3.0921, 3.15122, 
3.20612, 3.2565, 3.30251, 3.34468, 3.38379, 3.42077, 3.45644, 
3.49147, 3.52629, 3.5611, 3.59588, 3.63036, 3.66404, 3.69619, 
3.7258, 3.75167, 3.77236, 3.78632, 3.79205, 3.78849, 3.77545, 
3.75382, 3.72561, 3.69345, 3.66004, 3.63791, 3.61401, 3.82445, 
3.79759, 3.77463, 3.76396, 3.75689, 3.74351, 3.71251, 3.63693, 
3.52675, 3.38457, 3.24595, 3.08826, 2.96303, 2.93937, 2.89827, 
2.9884, 3.0479, 3.06306, 3.09052, 3.05156, 3.01074, 2.92614, 
2.82847, 2.79887, 2.75239, 2.66954, 2.58673, 2.4987, 2.39603, 
2.29318, 2.20887, 2.15075, 2.09322, 1.99055, 1.87646, 1.9119, 
1.93817, 1.90278, 1.82736, 1.73478, 1.66494, 1.55982, 1.46445, 
1.38597, 1.27095, 1.22207, 1.27171, 1.15671, 1.15555, 1.14893, 
1.05721, 1.02589, 1.00302, 0.976168, 1.10575, 0.89024, 0.918658, 
0.988132, 0.915608, 0.928811, 0.962889, 1.28458, 1.30895, 1.33441, 
1.361, 1.38879, 1.41782, 1.44814, 1.47978, 1.51275, 1.54707, 
1.58276, 1.61982, 1.65828, 1.69817, 1.73949, 1.78222, 1.82629, 
1.87159, 1.91798, 1.96526, 2.01321, 2.06168, 2.11057, 2.15987, 
2.20977, 2.26058, 2.31271, 2.3666, 2.42266, 2.48118, 2.54233, 
2.60607, 2.67223, 2.74047, 2.81037, 2.88137, 2.9528, 3.02384, 
3.09352, 3.16081, 3.22469, 3.28434, 3.33925, 3.38939, 3.43515, 
3.4773, 3.51676, 3.55448, 3.59124, 3.62759, 3.66384, 3.70003, 
3.73596, 3.77116, 3.80489, 3.83612, 3.86358, 3.88575, 3.90094, 
3.90752, 3.90431, 3.89102, 3.86859, 3.83911, 3.80544, 3.77048, 
3.74652, 3.75416, 3.93558, 3.89319, 3.88901, 3.88319, 3.8776, 
3.84051, 3.7909, 3.68822, 3.54776, 3.38346, 3.23475, 3.12298, 
3.00626, 2.99249, 2.9411, 2.99749, 3.13329, 3.17451, 3.13536, 
3.12917, 3.01191, 2.971, 2.86192, 2.73947, 2.77862, 2.68939, 
2.6052, 2.50396, 2.35607, 2.28456, 2.22462, 2.09203, 2.06324, 
2.04441, 1.90464, 1.84907, 1.88858, 1.88195, 1.85806, 1.78107, 
1.59208, 1.56148, 1.45174, 1.35419, 1.26102, 1.17238, 1.23713, 
1.1219, 1.10473, 1.13852, 1.06519, 0.999667, 1.003, 0.953889, 
1.06064, 0.962469, 0.835663, 0.935408, 0.899891, 0.887763, 0.903924, 
1.29637, 1.32076, 1.34619, 1.37276, 1.40053, 1.42957, 1.45996, 
1.49173, 1.52491, 1.55952, 1.59556, 1.63309, 1.6721, 1.71263, 
1.7547, 1.7983, 1.8434, 1.88995, 1.93782, 1.98684, 2.0368, 2.08749, 
2.13871, 2.19038, 2.24255, 2.29543, 2.34937, 2.4048, 2.4622, 
2.52199, 2.58446, 2.64975, 2.71776, 2.78824, 2.86079, 2.93488, 
3.00985, 3.08487, 3.15897, 3.23105, 3.29997, 3.36473, 3.42464, 
3.47942, 3.5293, 3.57494, 3.61728, 3.65734, 3.69604, 3.73408, 
3.77187, 3.80956, 3.84702, 3.88382, 3.91922, 3.95217, 3.98134, 
4.00511, 4.02165, 4.02918, 4.02637, 4.01284, 3.98955, 3.95873, 
3.92344, 3.87187, 3.86271, 3.83587, 4.05616, 4.01754, 4.00494, 
4.00545, 4.00601, 3.96188, 3.87261, 3.73457, 3.56778, 3.39278, 
3.24587, 3.09479, 3.02361, 2.98387, 2.96291, 3.0155, 3.19284, 
3.28043, 3.26767, 3.13825, 3.05163, 2.97339, 2.98933, 2.898, 
2.7604, 2.67588, 2.62052, 2.50812, 2.301, 2.24781, 2.14945, 2.16647, 
2.00879, 1.99988, 1.99328, 1.93553, 1.76912, 1.75594, 1.80221, 
1.64138, 1.5437, 1.56362, 1.40949, 1.27181, 1.17896, 1.15079, 
1.18193, 1.08936, 1.06982, 1.12912, 1.03492, 0.985737, 0.99538, 
1.04653, 1.03485, 0.995948, 0.841369, 0.802671, 0.811619, 0.868331, 
0.863544, 1.30874, 1.33319, 1.35865, 1.3852, 1.41295, 1.44199, 
1.47239, 1.50422, 1.53752, 1.57232, 1.60867, 1.64658, 1.68609, 
1.72721, 1.76996, 1.81435, 1.86041, 1.90809, 1.95731, 2.00796, 
2.05983, 2.11268, 2.1663, 2.2205, 2.27522, 2.33052, 2.38663, 
2.44396, 2.50298, 2.56422, 2.62811, 2.6949, 2.76468, 2.8373, 
2.91244, 2.98958, 3.06809, 3.14714, 3.22576, 3.3028, 3.37704, 
3.44732, 3.5127, 3.57266, 3.6272, 3.67683, 3.72248, 3.76524, 
3.80615, 3.84608, 3.88557, 3.92489, 3.96398, 4.00247, 4.03965, 
4.07444, 4.10544, 4.13092, 4.14892, 4.1575, 4.15515, 4.14141, 
4.11722, 4.08496, 4.04794, 4.02641, 3.98977, 3.95781, 4.18701, 
4.14925, 4.12458, 4.13151, 4.14008, 4.0856, 3.96035, 3.78992, 
3.5868, 3.40304, 3.26939, 3.11094, 3.0382, 3.05002, 3.05527, 
3.13258, 3.30494, 3.32233, 3.32227, 3.2119, 3.05361, 3.02168, 
2.8656, 2.88587, 2.61058, 2.68568, 2.63231, 2.51163, 2.31397, 
2.20515, 2.0588, 2.08388, 2.08026, 1.94895, 1.86368, 1.83976, 
1.86613, 1.63192, 1.69905, 1.55834, 1.5024, 1.52094, 1.40848, 
1.2679, 1.17849, 1.11264, 1.13196, 1.03994, 1.03378, 1.09483, 
1.05466, 0.968082, 0.995659, 0.953059, 1.02609, 0.950774, 0.870138, 
0.766071, 0.719877, 0.759537, 0.832656, 1.32165, 1.34622, 1.37176, 
1.39835, 1.42611, 1.45514, 1.48554, 1.51738, 1.55072, 1.58564, 
1.62219, 1.66041, 1.70033, 1.74196, 1.78533, 1.83046, 1.87739, 
1.9261, 1.97656, 2.02869, 2.08232, 2.13725, 2.19325, 2.25008, 
2.30753, 2.36554, 2.42422, 2.48384, 2.54487, 2.60785, 2.6733, 
2.74167, 2.81319, 2.88786, 2.96547, 3.04559, 3.12759, 3.2107, 
3.29392, 3.37611, 3.45595, 3.53212, 3.60343, 3.66909, 3.72886, 
3.78306, 3.83255, 3.87845, 3.92194, 3.96401, 4.0054, 4.04649, 
4.08734, 4.12764, 4.1667, 4.20344, 4.23638, 4.26371, 4.28331, 
4.29303, 4.29121, 4.27725, 4.25211, 4.21831, 4.17943, 4.16744, 
4.12206, 4.08507, 4.32729, 4.29404, 4.2332, 4.26199, 4.27672, 
4.2094, 4.05556, 3.85958, 3.64234, 3.47729, 3.44049, 3.31453, 
3.26964, 3.268, 3.25552, 3.28027, 3.33302, 3.33386, 3.25892, 
3.20171, 3.06572, 2.95162, 2.85311, 2.7252, 2.61159, 2.67344, 
2.64214, 2.46408, 2.26009, 2.09443, 2.02864, 1.9804, 1.89862, 
1.95851, 1.91942, 1.72583, 1.77001, 1.6391, 1.5567, 1.48922, 
1.53227, 1.42968, 1.31466, 1.2774, 1.19554, 1.11749, 1.11897, 
1.0395, 1.02707, 1.05537, 1.03188, 0.95786, 0.950103, 1.00674, 
1.03455, 0.881847, 0.774187, 0.720654, 0.690634, 0.687774, 0.704957, 
1.33504, 1.3598, 1.38548, 1.41218, 1.44001, 1.46907, 1.49947, 
1.53129, 1.56465, 1.59962, 1.6363, 1.67473, 1.71496, 1.75701, 
1.80091, 1.84671, 1.89443, 1.94408, 1.99566, 2.04912, 2.10438, 
2.16127, 2.21956, 2.27897, 2.33926, 2.40022, 2.46181, 2.52417, 
2.58764, 2.65274, 2.72006, 2.79015, 2.86343, 2.94009, 3.02006, 
3.10304, 3.18848, 3.27564, 3.36356, 3.45104, 3.53671, 3.61908, 
3.69677, 3.7687, 3.83435, 3.8938, 3.94775, 3.99733, 4.04381, 
4.08837, 4.13189, 4.17492, 4.21765, 4.25986, 4.3009, 4.3397, 
4.37473, 4.40404, 4.42536, 4.43635, 4.43514, 4.42097, 4.39482, 
4.35938, 4.37128, 4.35426, 4.26386, 4.2285, 4.47531, 4.43909, 
4.38421, 4.39647, 4.4147, 4.35423, 4.18919, 3.97596, 3.87744, 
3.72396, 3.5534, 3.44641, 3.38972, 3.40288, 3.48797, 3.4548, 
3.39784, 3.31663, 3.21214, 3.17136, 3.07972, 2.92841, 2.81155, 
2.76446, 2.73626, 2.70721, 2.63289, 2.53175, 2.38816, 2.19895, 
2.07689, 1.99324, 1.86453, 1.84833, 1.80992, 1.76495, 1.69921, 
1.63743, 1.4656, 1.45562, 1.42714, 1.36121, 1.22877, 1.21021, 
1.17674, 1.12986, 1.11208, 1.07195, 1.02727, 1.00211, 1.01257, 
0.958662, 0.922733, 0.979487, 0.931846, 0.904698, 0.831301, 0.756772, 
0.702086, 0.666756, 0.640448, 1.34885, 1.37387, 1.39977, 1.42666, 
1.45463, 1.48378, 1.51421, 1.54605, 1.5794, 1.6144, 1.65114, 
1.68969, 1.73012, 1.77249, 1.81684, 1.86321, 1.91162, 1.96212, 
2.01471, 2.0694, 2.12614, 2.18481, 2.24524, 2.30716, 2.37028, 
2.43431, 2.49909, 2.56457, 2.63096, 2.69867, 2.76826, 2.84035, 
2.91552, 2.99415, 3.0764, 3.16213, 3.25093, 3.34212, 3.43475, 
3.52762, 3.6193, 3.7082, 3.79272, 3.87153, 3.94375, 4.00918, 
4.06832, 4.12221, 4.17219, 4.2196, 4.26552, 4.31069, 4.35545, 
4.39969, 4.44283, 4.48382, 4.52106, 4.55251, 4.57571, 4.5881, 
4.58758, 4.6102, 4.54602, 4.51065, 4.54809, 4.51722, 4.41857, 
4.38087, 4.63277, 4.58923, 4.5437, 4.5266, 4.55828, 4.50583, 
4.32384, 4.14664, 3.9585, 3.5768, 3.47604, 3.4694, 3.33738, 3.33089, 
3.40062, 3.55, 3.52975, 3.36916, 3.24168, 3.18006, 3.16, 2.96536, 
2.77625, 2.85074, 2.84458, 2.74386, 2.65836, 2.52009, 2.45502, 
2.38792, 2.29508, 2.17935, 2.04508, 1.86185, 1.85667, 1.76762, 
1.69855, 1.5823, 1.46203, 1.33275, 1.31537, 1.32466, 1.26696, 
1.21014, 1.19043, 1.16684, 1.1304, 1.07997, 1.01532, 0.954342, 
0.937264, 0.914474, 0.89272, 0.900552, 0.934779, 0.824024, 0.803636, 
0.717112, 0.683011, 0.689116, 0.666581, 1.36302, 1.38836, 1.41456, 
1.44172, 1.46991, 1.49922, 1.52977, 1.56167, 1.59507, 1.63008, 
1.66684, 1.70544, 1.746, 1.78858, 1.83326, 1.88009, 1.92911, 
1.98035, 2.03385, 2.08964, 2.14771, 2.20801, 2.27039, 2.33465, 
2.40051, 2.46765, 2.53577, 2.60471, 2.67448, 2.74531, 2.81767, 
2.89217, 2.96948, 3.05021, 3.13473, 3.22313, 3.31519, 3.41031, 
3.50762, 3.60592, 3.70376, 3.79948, 3.89129, 3.97758, 4.05711, 
4.12934, 4.19445, 4.25337, 4.30744, 4.35816, 4.40683, 4.45439, 
4.50137, 4.54778, 4.59316, 4.63645, 4.67606, 4.7098, 4.73505, 
4.749, 4.74926, 4.73477, 4.78912, 4.82663, 4.73851, 4.69273, 
4.60806, 4.61998, 4.79909, 4.74313, 4.69918, 4.65891, 4.70315, 
4.64864, 4.49447, 4.31022, 4.0978, 3.8581, 3.69259, 3.50317, 
3.35627, 3.32731, 3.43534, 3.54193, 3.46928, 3.40591, 3.24138, 
3.09251, 3.11582, 3.0712, 2.90224, 2.9266, 2.88363, 2.7701, 2.67399, 
2.58585, 2.31451, 2.25682, 2.19405, 2.05978, 1.95729, 1.9679, 
1.99421, 1.85095, 1.68312, 1.53483, 1.43261, 1.35104, 1.25566, 
1.25332, 1.212, 1.22557, 1.22241, 1.17395, 1.1231, 1.07621, 1.01367, 
0.934731, 0.897023, 0.884136, 0.887742, 0.868995, 0.84605, 0.812002, 
0.740566, 0.644125, 0.643094, 0.667795, 0.7074, 1.37749, 1.40321, 
1.42979, 1.45729, 1.48578, 1.51535, 1.5461, 1.57816, 1.61166, 
1.64673, 1.68351, 1.72215, 1.76276, 1.80547, 1.85036, 1.89753, 
1.94702, 1.9989, 2.0532, 2.10998, 2.16925, 2.23099, 2.29515, 
2.36155, 2.42999, 2.50014, 2.57166, 2.64428, 2.7178, 2.79226, 
2.86795, 2.94538, 3.02527, 3.10835, 3.19524, 3.2863, 3.38149, 
3.48041, 3.58229, 3.68601, 3.79015, 3.89296, 3.99249, 4.08686, 
4.17446, 4.25433, 4.3263, 4.39107, 4.44997, 4.50458, 4.55642, 
4.60669, 4.65609, 4.70485, 4.75259, 4.79835, 4.84048, 4.8767, 
4.90418, 4.91983, 4.92099, 4.90636, 4.87682, 5.02911, 4.96064, 
4.89913, 4.87914, 4.88865, 4.97622, 4.91133, 4.87686, 4.83076, 
4.85438, 4.78663, 4.6327, 4.31908, 4.05463, 3.75087, 3.61078, 
3.68153, 3.60396, 3.52593, 3.41279, 3.43894, 3.37404, 3.368, 
3.18796, 3.01529, 3.16502, 3.22371, 3.06845, 2.99227, 2.82025, 
2.60917, 2.62242, 2.66212, 2.49778, 2.22329, 2.18324, 2.01072, 
1.97886, 2.11001, 1.95145, 1.7534, 1.57238, 1.50534, 1.51763, 
1.3847, 1.3192, 1.20982, 1.1953, 1.22516, 1.24406, 1.14301, 1.08884, 
1.0518, 0.997828, 0.938999, 0.898807, 0.896096, 0.881049, 0.86069, 
0.823761, 0.754011, 0.655475, 0.623751, 0.63102, 0.633374, 0.752621, 
1.39218, 1.41836, 1.44538, 1.4733, 1.50217, 1.53209, 1.56315, 
1.59546, 1.62915, 1.66435, 1.70122, 1.7399, 1.78056, 1.82333, 
1.86835, 1.91574, 1.96558, 2.01795, 2.07293, 2.13056, 2.19088, 
2.25393, 2.31966, 2.38801, 2.45881, 2.53179, 2.60665, 2.68301, 
2.76054, 2.83907, 2.91865, 2.99965, 3.08268, 3.16857, 3.25809, 
3.35184, 3.45007, 3.55264, 3.65898, 3.7681, 3.8786, 3.98869, 
4.09632, 4.19934, 4.29577, 4.38418, 4.464, 4.53561, 4.60018, 
4.65939, 4.71493, 4.76826, 4.82037, 4.87167, 4.92195, 4.97033, 
5.01515, 5.05404, 5.08394, 5.10148, 5.10367, 5.08895, 5.05813, 
5.25245, 5.21354, 5.13457, 5.08087, 5.09338, 5.1547, 5.09272, 
5.04971, 4.99273, 5.0228, 4.92964, 4.73561, 4.4394, 4.05755, 
3.72191, 3.53797, 3.48599, 3.65452, 3.72914, 3.6646, 3.43895, 
3.29916, 3.19423, 3.11566, 3.2134, 3.2971, 3.0304, 3.16932, 2.80564, 
2.66764, 2.6325, 2.73739, 2.70134, 2.64791, 2.38421, 2.37979, 
2.12952, 2.21527, 2.04905, 1.74519, 1.6114, 1.54215, 1.59759, 
1.55006, 1.43969, 1.29783, 1.19133, 1.20512, 1.24419, 1.22966, 
1.13378, 1.07099, 1.00372, 0.945566, 0.901491, 0.900627, 0.892885, 
0.900917, 0.858496, 0.792789, 0.75787, 0.718869, 0.689366, 0.639011, 
0.626532, 0.743523, 1.40699, 1.43371, 1.46125, 1.48965, 1.51899, 
1.54935, 1.58081, 1.61348, 1.64747, 1.68291, 1.71996, 1.75875, 
1.79948, 1.84231, 1.88742, 1.93493, 1.98499, 2.03773, 2.09323, 
2.15157, 2.2128, 2.27697, 2.34411, 2.41419, 2.48711, 2.56272, 
2.64074, 2.72077, 2.80241, 2.88531, 2.9693, 3.05451, 3.1414, 
3.2307, 3.32327, 3.4199, 3.52119, 3.62731, 3.73799, 3.8524, 3.96924, 
4.08676, 4.20282, 4.31501, 4.42102, 4.51894, 4.6077, 4.68724, 
4.7585, 4.82311, 4.883, 4.93987, 4.99502, 5.0491, 5.10212, 5.1533, 
5.20101, 5.24277, 5.27533, 5.29497, 5.29834, 5.28356, 5.48127, 
5.50509, 5.49822, 5.37765, 5.29179, 5.28326, 5.34518, 5.29135, 
5.23761, 5.17758, 5.18129, 5.07681, 4.77943, 4.48408, 4.15607, 
3.86379, 3.76695, 3.73341, 3.58617, 3.624, 3.68734, 3.50072, 
3.31811, 3.19149, 3.14935, 3.15453, 3.15189, 3.11487, 3.14777, 
2.69806, 2.57051, 2.60063, 2.70602, 2.62142, 2.67503, 2.61544, 
2.42089, 2.24974, 2.26765, 2.05109, 1.71774, 1.54002, 1.54301, 
1.64694, 1.51794, 1.43454, 1.31708, 1.21635, 1.19146, 1.26055, 
1.21388, 1.11252, 1.02904, 0.937567, 0.897105, 0.889731, 0.850026, 
0.817877, 0.879206, 0.877022, 0.796179, 0.79723, 0.745979, 0.744466, 
0.677932, 0.703525, 0.761341, 1.42175, 1.44911, 1.47726, 1.50625, 
1.53615, 1.56704, 1.59901, 1.63214, 1.66655, 1.70235, 1.73968, 
1.77869, 1.81958, 1.86252, 1.90769, 1.95529, 2.0055, 2.05848, 
2.11435, 2.17323, 2.2352, 2.30034, 2.36869, 2.44029, 2.51512, 
2.5931, 2.67402, 2.75753, 2.84322, 2.93064, 3.01943, 3.10947, 
3.20095, 3.29438, 3.39059, 3.49053, 3.59509, 3.70478, 3.81966, 
3.9392, 4.06231, 4.18732, 4.31202, 4.43387, 4.55021, 4.65864, 
4.75749, 4.84616, 4.92526, 4.99631, 5.06134, 5.12236, 5.18097, 
5.23815, 5.29413, 5.34831, 5.39912, 5.444, 5.47945, 5.50142, 
5.50613, 5.49135, 5.7335, 5.61109, 5.73242, 5.59573, 5.50252, 
5.47801, 5.55032, 5.49328, 5.42506, 5.40026, 5.35561, 5.22738, 
4.98926, 4.6214, 4.375, 4.13148, 3.84503, 3.70483, 3.66781, 3.62479, 
3.56664, 3.52464, 3.41783, 3.14053, 3.07883, 3.07416, 3.12542, 
3.21974, 3.20719, 2.68403, 2.63409, 2.5608, 2.53633, 2.59533, 
2.47749, 2.61419, 2.54415, 2.38509, 2.26802, 2.0602, 1.87276, 
1.61129, 1.66128, 1.61289, 1.50317, 1.46212, 1.43159, 1.3171, 
1.24382, 1.27902, 1.16037, 1.03032, 0.961664, 0.938287, 0.853606, 
0.870505, 0.895407, 0.860709, 0.901701, 0.898268, 0.866218, 0.805548, 
0.771062, 0.766135, 0.797406, 0.816469, 0.790773, 1.43623, 1.46437, 
1.49325, 1.52293, 1.5535, 1.58503, 1.61761, 1.65132, 1.68626, 
1.72254, 1.76029, 1.79966, 1.84082, 1.88396, 1.92927, 1.97699, 
2.02731, 2.08044, 2.13656, 2.19581, 2.25835, 2.32426, 2.39364, 
2.46655, 2.54307, 2.62314, 2.70666, 2.79338, 2.88293, 2.97486, 
3.06866, 3.16399, 3.2607, 3.35907, 3.45973, 3.56367, 3.67191, 
3.78531, 3.90434, 4.02888, 4.15811, 4.29054, 4.42406, 4.55598, 
4.68333, 4.80323, 4.91338, 5.01255, 5.10085, 5.17954, 5.25072, 
5.31662, 5.37923, 5.43989, 5.49912, 5.55654, 5.61068, 5.65891, 
5.71997, 5.75366, 5.7283, 6.04851, 6.09298, 6.08525, 5.98156, 
5.82229, 5.73762, 5.72612, 5.7604, 5.69427, 5.64193, 5.62018, 
5.54317, 5.38119, 5.13884, 4.81933, 4.49961, 4.35547, 4.152, 
4.13105, 4.00115, 3.74939, 3.70175, 3.6772, 3.53588, 3.26751, 
3.08367, 3.00694, 2.95755, 2.99646, 3.05553, 3.06393, 2.62549, 
2.53138, 2.42948, 2.43845, 2.36137, 2.37213, 2.453, 2.33615, 
2.23779, 2.11319, 1.9694, 1.52517, 1.74581, 1.71968, 1.64883, 
1.59372, 1.52718, 1.43781, 1.3576, 1.29424, 1.20135, 1.11345, 
1.03767, 0.959774, 0.859325, 0.833841, 0.860421, 0.900691, 0.945709, 
0.93804, 0.886317, 0.87315, 0.812804, 0.818413, 0.868027, 0.793135, 
0.73914, 1.45015, 1.4792, 1.50896, 1.53949, 1.57086, 1.60316, 
1.63647, 1.67087, 1.70647, 1.74336, 1.78167, 1.82154, 1.86313, 
1.9066, 1.95218, 2.00009, 2.05056, 2.10382, 2.1601, 2.21962, 
2.28254, 2.34904, 2.41923, 2.49327, 2.57121, 2.6531, 2.73892, 
2.82853, 2.92167, 3.0179, 3.11671, 3.21756, 3.32007, 3.42416, 
3.53022, 3.63901, 3.7516, 3.86911, 3.99241, 4.12183, 4.25701, 
4.39677, 4.53913, 4.68139, 4.82035, 4.95267, 5.0754, 5.18657, 
5.2856, 5.37338, 5.45189, 5.52362, 5.59091, 5.65552, 5.71835, 
5.77928, 5.837, 5.88886, 5.94016, 6.32487, 6.35447, 6.44682, 
6.49789, 6.41678, 6.27954, 6.13012, 5.98576, 5.88605, 5.91502, 
5.9144, 5.89872, 5.83155, 5.71291, 5.53661, 5.29719, 5.04482, 
4.85109, 4.61048, 4.63247, 4.37766, 4.05755, 3.96163, 3.97085, 
3.85719, 3.70265, 3.4385, 3.14555, 2.87976, 2.7159, 2.81571, 
3.08854, 3.08671, 2.99, 2.66501, 2.52082, 2.40655, 2.29358, 2.20108, 
2.14244, 1.97054, 1.93257, 1.87949, 1.77095, 1.52632, 1.72356, 
1.52019, 1.42126, 1.39424, 1.39791, 1.31319, 1.3157, 1.14169, 
1.13703, 1.00885, 0.944257, 0.91306, 0.875527, 0.869711, 0.865358, 
0.896549, 0.922969, 1.01432, 0.984738, 0.876616, 0.875555, 0.923594, 
0.875955, 0.763176, 0.722758, 1.46318, 1.49329, 1.52408, 1.55561, 
1.58795, 1.62117, 1.65536, 1.69061, 1.72701, 1.76466, 1.80368, 
1.8442, 1.88637, 1.93035, 1.97635, 2.02459, 2.07531, 2.12876, 
2.18521, 2.2449, 2.30809, 2.375, 2.44583, 2.52074, 2.59986, 2.6833, 
2.77112, 2.86329, 2.95964, 3.05985, 3.16345, 3.26985, 3.3785, 
3.48901, 3.60137, 3.71602, 3.83389, 3.95618, 4.08411, 4.2185, 
4.3595, 4.50639, 4.6575, 4.81026, 4.96133, 5.10697, 5.24357, 
5.36831, 5.47981, 5.57835, 5.66567, 5.74438, 5.81721, 5.88638, 
5.95323, 6.6344, 6.63428, 6.42303, 6.22304, 6.23982, 6.67211, 
6.88966, 6.87132, 6.71896, 6.58125, 6.44565, 6.32529, 6.28927, 
5.97971, 6.07791, 6.11302, 6.0479, 5.90625, 5.70678, 5.46698, 
5.23625, 5.0545, 4.88615, 4.93703, 4.78922, 4.63544, 4.45792, 
4.35593, 3.89649, 3.55858, 3.2516, 2.96737, 2.81132, 2.78745, 
2.98817, 3.00435, 2.96278, 3.00197, 2.78419, 2.57392, 2.48673, 
2.33878, 2.09138, 1.86967, 1.72211, 1.6728, 1.72751, 1.55077, 
1.50324, 1.60251, 1.44701, 1.30122, 1.28236, 1.27131, 1.20327, 
1.23806, 1.04673, 0.987748, 0.965048, 0.924716, 0.907552, 0.875725, 
0.89891, 0.985848, 1.01197, 0.973027, 1.00992, 1.0051, 0.962103, 
0.970043, 0.953923, 0.874139, 0.840031, 0.797557, 1.47499, 1.50629, 
1.53826, 1.57096, 1.60443, 1.63876, 1.67401, 1.71028, 1.74764, 
1.78621, 1.8261, 1.86744, 1.91037, 1.95505, 2.00166, 2.05041, 
2.10154, 2.15531, 2.21199, 2.27189, 2.33529, 2.4025, 2.47377, 
2.54933, 2.62938, 2.7141, 2.80361, 2.89798, 2.99715, 3.10092, 
3.20896, 3.32074, 3.43562, 3.55297, 3.67241, 3.79396, 3.91823, 
4.04632, 4.17957, 4.31922, 4.46603, 4.61988, 4.77959, 4.94288, 
5.10641, 5.26616, 5.41786, 5.55783, 5.6837, 5.79493, 5.89283, 
5.98, 6.05947, 6.13398, 6.2054, 6.27441, 6.34021, 6.96714, 6.97988, 
7.01465, 7.05007, 7.27996, 7.18383, 7.01526, 6.85234, 6.7186, 
6.59884, 6.60314, 6.43595, 6.39223, 6.35041, 6.28289, 6.10522, 
5.88424, 5.65331, 5.46312, 5.29042, 5.15516, 5.0998, 5.08535, 
5.07124, 4.73299, 4.28448, 3.69328, 3.34565, 3.08015, 2.92602, 
2.92438, 2.99689, 3.04479, 2.88771, 2.88398, 2.9303, 2.87259, 
2.61352, 2.35581, 2.1664, 2.04481, 1.88733, 1.73213, 1.61591, 
1.59072, 1.5752, 1.52167, 1.40933, 1.45206, 1.2916, 1.18887, 
1.13064, 1.14252, 1.0878, 1.08087, 0.957231, 0.937944, 0.947288, 
1.00744, 0.973135, 0.952418, 0.973286, 1.09503, 1.04807, 1.10454, 
1.09144, 1.07316, 1.05838, 1.00685, 0.886948, 0.813957, 0.799265, 
1.48532, 1.51787, 1.55113, 1.58513, 1.61991, 1.65552, 1.69203, 
1.7295, 1.76803, 1.80773, 1.84869, 1.89103, 1.93492, 1.98049, 
2.02792, 2.07739, 2.12914, 2.18342, 2.2405, 2.30071, 2.36438, 
2.43185, 2.50344, 2.57946, 2.6602, 2.74592, 2.83681, 2.93301, 
3.03458, 3.14148, 3.25352, 3.37031, 3.49122, 3.61554, 3.74259, 
3.87199, 4.00387, 4.13898, 4.27858, 4.42418, 4.57707, 4.73783, 
4.90596, 5.07965, 5.25582, 5.43027, 5.59823, 5.75511, 5.89744, 
6.02362, 6.13423, 6.23164, 6.31914, 6.39998, 6.47666, 6.55039, 
6.62078, 7.35736, 7.38588, 7.43236, 7.47682, 7.51063, 7.45546, 
7.28234, 7.12611, 7.01519, 6.89036, 6.89397, 6.74847, 6.68836, 
6.64319, 6.52023, 6.30826, 6.07827, 5.85075, 5.6832, 5.58441, 
5.51867, 5.45696, 5.24006, 5.07339, 4.82465, 4.28226, 3.86993, 
3.45348, 3.18389, 3.0625, 2.98686, 3.00026, 2.98156, 2.90409, 
2.85216, 2.82379, 2.72849, 2.50796, 2.24122, 2.04041, 1.88755, 
1.77772, 1.69808, 1.661, 1.62952, 1.61296, 1.52762, 1.34974, 
1.27553, 1.22877, 1.16029, 1.07279, 1.06209, 1.05214, 1.01178, 
0.990953, 0.961475, 1.02121, 1.04052, 1.1197, 1.02416, 1.06187, 
1.16404, 1.19328, 1.17408, 1.14076, 1.09596, 1.04948, 0.961586, 
0.927217, 0.852085, 0.82578, 1.49401, 1.5278, 1.56238, 1.59776, 
1.63397, 1.67102, 1.70897, 1.74786, 1.78778, 1.82882, 1.87107, 
1.91466, 1.95972, 2.00641, 2.05487, 2.10531, 2.15792, 2.21294, 
2.27064, 2.33136, 2.39544, 2.46323, 2.53513, 2.61151, 2.69277, 
2.77923, 2.87119, 2.96884, 3.07241, 3.18199, 3.29754, 3.41881, 
3.54535, 3.67645, 3.81132, 3.94924, 4.08984, 4.23333, 4.38065, 
4.5333, 4.69294, 4.86081, 5.03722, 5.22112, 5.40988, 5.59945, 
5.79016, 6.61974, 6.14648, 6.26481, 6.39063, 6.50049, 6.59777, 
6.68623, 6.76905, 6.84811, 7.67839, 7.73321, 7.80148, 7.82976, 
7.87029, 7.84479, 7.74377, 7.5978, 7.44489, 7.32958, 7.21285, 
7.20831, 7.08489, 7.00542, 6.94192, 6.789, 6.54925, 6.29227, 
6.0634, 5.91692, 5.85412, 5.83271, 5.81241, 5.70784, 5.42526, 
5.16059, 4.71975, 4.28792, 3.59514, 3.39248, 3.20148, 2.98021, 
3.05386, 3.03241, 2.91728, 2.84082, 2.75028, 2.59489, 2.43664, 
2.22708, 2.03047, 1.87295, 1.77352, 1.72936, 1.71184, 1.62782, 
1.61299, 1.48963, 1.37689, 1.2542, 1.20198, 1.10768, 1.0739, 
1.05872, 1.11596, 1.02801, 1.03693, 1.05337, 1.08118, 1.15676, 
1.14171, 1.21698, 1.19327, 1.21008, 1.23394, 1.17981, 1.05743, 
1.05361, 1.01718, 0.960039, 0.960939, 0.876882, 0.834401, 1.50104, 
1.53598, 1.57184, 1.6086, 1.64627, 1.68486, 1.72438, 1.76487, 
1.80639, 1.849, 1.89279, 1.93788, 1.98438, 2.03244, 2.0822, 2.13386, 
2.18759, 2.24362, 2.30223, 2.36373, 2.42844, 2.49674, 2.56905, 
2.64582, 2.7275, 2.81452, 2.90723, 3.00603, 3.11121, 3.22301, 
3.34152, 3.4667, 3.59827, 3.73572, 3.87826, 4.02499, 4.17511, 
4.32829, 4.48491, 4.64612, 4.81363, 4.98922, 5.17403, 5.36795, 
5.56918, 6.32703, 6.97326, 7.16634, 7.35866, 7.54708, 6.8489, 
6.78773, 6.897, 6.99473, 7.08484, 7.17003, 8.06074, 8.18222, 
8.2537, 8.25404, 8.29917, 8.24543, 8.12872, 7.97231, 7.80763, 
7.68481, 7.55968, 7.55538, 7.43309, 7.34132, 7.27379, 7.06169, 
6.79552, 6.52479, 6.30808, 6.18391, 6.13534, 6.10828, 6.05918, 
5.96231, 5.74169, 5.35019, 5.11098, 4.28011, 4.16871, 3.71772, 
3.37035, 3.13898, 3.24228, 3.0615, 2.94307, 2.85993, 2.70031, 
2.50288, 2.36676, 2.20793, 2.05803, 1.91824, 1.81503, 1.77772, 
1.84468, 1.6187, 1.5824, 1.46332, 1.35026, 1.24642, 1.18209, 
1.09416, 1.05049, 1.12711, 1.23962, 1.08655, 1.10389, 1.21082, 
1.19728, 1.25118, 1.28212, 1.30543, 1.31345, 1.30763, 1.20957, 
1.08736, 1.04523, 0.960141, 0.981199, 0.998049, 0.97496, 0.908341, 
0.837443, 1.50662, 1.54253, 1.57951, 1.61754, 1.65661, 1.69672, 
1.73787, 1.78006, 1.82334, 1.86773, 1.9133, 1.96015, 2.00837, 
2.05809, 2.10945, 2.16262, 2.21777, 2.27514, 2.33497, 2.39755, 
2.46321, 2.5323, 2.60526, 2.68257, 2.76472, 2.85219, 2.94551, 
3.04516, 3.15159, 3.26515, 3.38609, 3.51456, 3.65051, 3.79365, 
3.94336, 4.09875, 4.25881, 4.42272, 4.59018, 4.76172, 4.93875, 
5.12321, 5.31696, 5.52096, 6.1602, 6.90729, 7.0782, 7.42663, 
7.65093, 7.84142, 8.04399, 8.24769, 8.20517, 7.84539, 8.36825, 
8.52397, 8.56465, 8.66716, 8.69565, 8.72305, 8.74098, 8.71662, 
8.56987, 8.39767, 8.22649, 8.09527, 7.94209, 7.93076, 7.80188, 
7.70082, 7.60747, 7.35248, 7.05808, 6.77787, 6.5752, 6.47644, 
6.43987, 6.39912, 6.30175, 6.14255, 5.92803, 5.63422, 5.29086, 
4.68723, 4.56045, 3.93049, 3.29322, 3.17145, 3.47878, 3.03107, 
3.01999, 2.82396, 2.62547, 2.46148, 2.34635, 2.19584, 2.029, 
1.9295, 1.8331, 1.75013, 1.83174, 1.78079, 1.56967, 1.49175, 
1.3984, 1.31161, 1.19626, 1.12688, 1.06167, 1.12513, 1.3062, 
1.22038, 1.14118, 1.18701, 1.31355, 1.38454, 1.3982, 1.38934, 
1.37958, 1.31217, 1.11902, 1.04115, 1.02884, 0.990112, 1.01549, 
1.04279, 1.00613, 0.976418, 0.920171, 1.51112, 1.54774, 1.5856, 
1.62469, 1.66499, 1.7065, 1.74921, 1.7931, 1.83818, 1.88447, 
1.93201, 1.98085, 2.03107, 2.08276, 2.13604, 2.19105, 2.24797, 
2.30702, 2.36843, 2.43247, 2.49943, 2.56968, 2.64363, 2.72176, 
2.80455, 2.89259, 2.98648, 3.08684, 3.19422, 3.30912, 3.43198, 
3.56312, 3.70274, 3.8508, 4.00694, 4.17046, 4.34039, 4.51558, 
4.69515, 4.87884, 5.06738, 5.26249, 5.46638, 5.68093, 6.79139, 
7.10658, 6.49427, 7.69235, 7.95257, 8.17875, 8.26693, 8.72807, 
8.79424, 9.00892, 9.0504, 9.16013, 9.1941, 9.17641, 9.17872, 
9.24889, 9.28241, 9.24485, 9.07216, 8.86996, 8.70845, 8.56658, 
8.40453, 8.33942, 8.21252, 8.12062, 7.95447, 7.66199, 7.34021, 
7.05835, 6.87868, 6.80333, 6.76788, 6.69798, 6.55601, 6.33318, 
6.0792, 5.76863, 5.43279, 5.08027, 4.45778, 3.80431, 3.47588, 
3.45809, 3.75494, 3.13785, 3.11042, 2.74265, 2.58307, 2.50531, 
2.35896, 2.1816, 2.06228, 2.04745, 1.87692, 1.82386, 1.79369, 
1.75729, 1.70006, 1.63731, 1.4871, 1.28991, 1.23366, 1.19752, 
1.12544, 1.24565, 1.45067, 1.39809, 1.33818, 1.31466, 1.3073, 
1.44744, 1.46176, 1.45089, 1.38045, 1.28901, 1.26741, 1.19465, 
1.06745, 0.997202, 1.02775, 1.06274, 1.03578, 1.0245, 1.04338, 
1.51505, 1.5521, 1.59055, 1.63041, 1.67167, 1.71434, 1.75841, 
1.80385, 1.85066, 1.89885, 1.94842, 1.99939, 2.05181, 2.10573, 
2.16124, 2.21845, 2.27752, 2.33865, 2.40204, 2.46794, 2.53664, 
2.60848, 2.68384, 2.76316, 2.84696, 2.93585, 3.03049, 3.13156, 
3.23973, 3.35567, 3.47999, 3.61324, 3.75582, 3.90796, 4.06964, 
4.24048, 4.4197, 4.60615, 4.79855, 4.99593, 5.19814, 5.40619, 
5.62212, 5.84838, 6.96286, 7.30574, 7.66698, 7.96215, 8.2624, 
8.54033, 8.64069, 7.81747, 9.4867, 9.57495, 9.7076, 9.86416, 
9.89031, 9.85173, 9.79861, 9.88328, 9.95185, 9.8631, 9.63737, 
9.41529, 9.25484, 9.07625, 8.92734, 8.78324, 8.64263, 8.5318, 
8.32239, 7.98783, 7.64619, 7.37321, 7.22216, 7.16364, 7.11508, 
6.99969, 6.8017, 6.5341, 6.22212, 5.89154, 5.54343, 5.16659, 
4.69384, 4.32155, 4.06905, 4.05764, 3.9697, 3.53596, 3.21025, 
2.72297, 2.66352, 2.4628, 2.34284, 2.23775, 2.20459, 2.20733, 
1.97461, 1.98632, 1.95259, 1.76873, 1.70362, 1.53253, 1.41256, 
1.36145, 1.3483, 1.29409, 1.23451, 1.23526, 1.34646, 1.57551, 
1.52423, 1.52977, 1.52965, 1.54581, 1.52401, 1.40406, 1.28331, 
1.19948, 1.18693, 1.14566, 1.06713, 1.06263, 1.10559, 1.11842, 
1.09821, 1.08474, 1.09689, 1.51899, 1.55619, 1.59493, 1.63524, 
1.67714, 1.72064, 1.76576, 1.81247, 1.86079, 1.91071, 1.96222, 
2.01532, 2.07001, 2.12632, 2.1843, 2.24402, 2.30562, 2.36924, 
2.43505, 2.50328, 2.57419, 2.64811, 2.72536, 2.80638, 2.89169, 
2.98187, 3.0776, 3.1796, 3.28862, 3.40548, 3.53096, 3.66583, 
3.81072, 3.96614, 4.13241, 4.30954, 4.4971, 4.6942, 4.89948, 
5.11152, 5.3293, 5.55281, 5.78335, 6.02335, 6.67381, 7.50492, 
7.90897, 8.24467, 8.58964, 8.91483, 9.10254, 9.67511, 9.75361, 
10.2464, 10.4035, 10.5627, 10.6733, 10.654, 10.6678, 10.7311, 
10.7634, 10.6386, 10.2783, 10.0614, 9.84756, 9.6203, 9.43886, 
9.30424, 9.08387, 8.9793, 8.71331, 8.33685, 7.98414, 7.73058, 
7.60934, 7.55649, 7.47524, 7.30016, 7.03612, 6.71246, 6.35418, 
5.99387, 5.64478, 5.29229, 5.01141, 4.76808, 4.56977, 4.36563, 
3.78402, 3.29348, 3.01057, 3.0254, 2.81893, 2.47361, 2.38803, 
2.48122, 2.44986, 2.25039, 2.19822, 2.18998, 1.94153, 1.69273, 
1.62226, 1.631, 1.58117, 1.51133, 1.39236, 1.36337, 1.35067, 
1.37671, 1.37476, 1.54862, 1.65891, 1.64213, 1.62253, 1.59899, 
1.46793, 1.28621, 1.26299, 1.30973, 1.2242, 1.18051, 1.13776, 
1.1299, 1.17106, 1.1623, 1.1674, 1.14766, 1.14374, 1.52354, 1.56066, 
1.59941, 1.63986, 1.68205, 1.72602, 1.77182, 1.81943, 1.86891, 
1.92024, 1.97342, 2.02845, 2.08531, 2.14401, 2.20455, 2.26698, 
2.33139, 2.39786, 2.46653, 2.53757, 2.61123, 2.68775, 2.76746, 
2.85078, 2.93819, 3.03025, 3.1276, 3.23097, 3.34116, 3.45907, 
3.58565, 3.72182, 3.8685, 4.02648, 4.19641, 4.37872, 4.57343, 
4.78007, 4.99759, 5.22446, 5.45909, 6.43851, 6.83806, 7.25508, 
7.69303, 7.70465, 8.14188, 7.7954, 8.94422, 9.31221, 9.6861, 
10.2407, 10.5098, 10.9071, 11.1688, 11.4427, 11.6139, 11.7023, 
11.7117, 11.6589, 11.5718, 11.4677, 11.1531, 10.8315, 10.4922, 
10.2119, 9.99442, 9.84099, 9.63885, 9.43541, 9.12129, 8.7155, 
8.36411, 8.13973, 8.04085, 7.97456, 7.83672, 7.59017, 7.25778, 
6.87788, 6.47436, 6.07544, 5.71767, 5.41319, 5.17439, 4.95201, 
4.60762, 4.05868, 3.53668, 3.30964, 3.54767, 2.95056, 2.55844, 
2.5437, 2.63849, 2.67151, 2.5478, 2.49133, 2.25288, 1.8655, 1.86573, 
1.6666, 1.60829, 1.52529, 1.47648, 1.40192, 1.39029, 1.58989, 
1.65033, 1.66651, 1.66524, 1.73342, 1.73191, 1.70807, 1.67457, 
1.59328, 1.36389, 1.33113, 1.37728, 1.40397, 1.36824, 1.2715, 
1.19643, 1.17387, 1.22481, 1.22952, 1.22986, 1.20056, 1.19144, 
1.52919, 1.56607, 1.60464, 1.64498, 1.68716, 1.73126, 1.77735, 
1.82546, 1.87566, 1.92797, 1.98242, 2.03901, 2.09773, 2.15859, 
2.22157, 2.28672, 2.35404, 2.4236, 2.49546, 2.56975, 2.64666, 
2.72636, 2.80917, 2.89545, 2.98566, 3.08029, 3.17996, 3.28534, 
3.39725, 3.51665, 3.64454, 3.78202, 3.93021, 4.09019, 4.26297, 
4.44938, 4.64994, 4.86474, 5.09325, 5.33429, 5.58609, 6.50335, 
6.93156, 7.37755, 7.84417, 8.21782, 8.74149, 9.23275, 9.03653, 
9.82666, 10.1451, 10.8133, 11.246, 11.7203, 12.0862, 12.4543, 
12.655, 12.7709, 12.7675, 12.6666, 12.6382, 12.6074, 12.128, 
11.7107, 11.2679, 10.8948, 10.606, 10.461, 10.2364, 9.9956, 9.57729, 
9.13393, 8.79455, 8.60388, 8.51314, 8.40662, 8.19301, 7.86652, 
7.46539, 7.02999, 6.59012, 6.18038, 5.83668, 5.5558, 5.3066, 
5.06106, 4.76674, 4.33615, 3.8331, 3.69185, 3.26735, 2.77732, 
2.7239, 2.86054, 2.88646, 2.7998, 2.68013, 2.40091, 1.94556, 
1.98844, 1.97162, 1.75795, 1.57392, 1.51357, 1.51435, 1.50843, 
1.55419, 1.75651, 1.85501, 1.85329, 1.82834, 1.82077, 1.77484, 
1.68953, 1.53569, 1.46836, 1.45039, 1.52684, 1.47444, 1.46582, 
1.44322, 1.39127, 1.31803, 1.3056, 1.28627, 1.27764, 1.2658, 
1.25059, 1.20985, 1.53628, 1.57287, 1.61115, 1.65122, 1.69319, 
1.73716, 1.7832, 1.83143, 1.88192, 1.93476, 1.98998, 2.04763, 
2.10775, 2.17033, 2.23542, 2.30301, 2.37311, 2.44574, 2.52093, 
2.59875, 2.67929, 2.7627, 2.84924, 2.93919, 3.03295, 3.13096, 
3.23374, 3.34196, 3.45641, 3.578, 3.70777, 3.8469, 3.99667, 4.15842, 
4.29275, 4.4313, 4.70491, 5.00895, 5.32901, 5.68729, 6.07728, 
6.55066, 7.00854, 7.48773, 7.98797, 8.5125, 7.79263, 9.6363, 
10.2539, 10.2547, 10.6708, 11.3214, 12.1652, 12.7117, 13.1975, 
13.5812, 13.7631, 13.8791, 13.9027, 13.9772, 14.0641, 13.683, 
13.1084, 12.7373, 12.1767, 11.6641, 11.3072, 11.1176, 10.8797, 
10.5444, 10.0623, 9.60127, 9.28423, 9.12316, 9.01901, 8.84344, 
8.53838, 8.12738, 7.65727, 7.17394, 6.71694, 6.31127, 5.98578, 
5.70449, 5.43005, 5.13957, 4.82576, 4.45039, 4.01571, 3.70105, 
3.3028, 3.08123, 2.73858, 3.04569, 2.9852, 2.76095, 2.43127, 
2.23995, 2.27449, 2.22961, 1.98344, 1.74619, 1.67198, 1.69968, 
1.7612, 1.76424, 1.72651, 1.93181, 1.99195, 1.93477, 1.89588, 
1.85315, 1.81768, 1.72401, 1.65559, 1.62521, 1.59566, 1.58564, 
1.56007, 1.57205, 1.52484, 1.4828, 1.42805, 1.39546, 1.35757, 
1.3268, 1.31708, 1.26315, 1.23686, 1.54498, 1.58131, 1.6193, 
1.65907, 1.70072, 1.74439, 1.79018, 1.83823, 1.88867, 1.94159, 
1.99711, 2.05529, 2.11623, 2.17999, 2.24662, 2.31616, 2.38863, 
2.46402, 2.54238, 2.62371, 2.70806, 2.79553, 2.88628, 2.98054, 
3.0786, 3.18082, 3.28765, 3.39969, 3.51766, 3.64241, 3.77494, 
3.91647, 4.06833, 4.23206, 4.26757, 4.43689, 4.7056, 5.00683, 
5.34322, 5.71707, 6.12972, 6.5804, 7.0655, 7.57961, 8.1186, 8.02604, 
7.99993, 9.90483, 10.5857, 11.0206, 10.6955, 12.1565, 12.6478, 
13.9065, 14.5125, 14.8336, 15.0486, 15.2297, 15.3097, 15.4182, 
15.2449, 14.6147, 14.1999, 13.2734, 12.9403, 12.4972, 12.1148, 
11.8532, 11.5725, 11.1365, 10.5933, 10.129, 9.84328, 9.69911, 
9.54927, 9.27619, 8.86993, 8.37339, 7.83914, 7.31941, 6.85855, 
6.47556, 6.14963, 5.84533, 5.52175, 5.17019, 4.81002, 4.45831, 
4.10655, 3.77225, 3.53207, 3.29471, 3.20025, 3.17192, 2.97065, 
2.61486, 2.4854, 2.32246, 2.46525, 2.29477, 2.07076, 2.17321, 
2.05738, 2.03919, 2.04599, 1.97281, 2.08616, 2.08744, 2.01667, 
1.97335, 1.93717, 1.91647, 1.89694, 1.84387, 1.78697, 1.75281, 
1.71019, 1.686, 1.59317, 1.5641, 1.51468, 1.48143, 1.49331, 1.46121, 
1.43419, 1.37148, 1.31725, 1.28216, 1.25909, 1.55528, 1.59145, 
1.62924, 1.66875, 1.71011, 1.75344, 1.7989, 1.84663, 1.89678, 
1.94949, 2.0049, 2.06315, 2.12438, 2.1887, 2.25624, 2.32706, 
2.40124, 2.47882, 2.55984, 2.64432, 2.73229, 2.82382, 2.919, 
3.01798, 3.12095, 3.22815, 3.33996, 3.45687, 3.57948, 3.70855, 
3.84505, 3.99008, 4.14502, 4.22725, 4.21998, 4.45188, 4.71346, 
5.00879, 5.3416, 5.71523, 6.13254, 6.59508, 7.10186, 7.64856, 
8.02141, 8.49383, 9.07466, 9.65414, 10.9095, 11.7347, 12.5589, 
13.6781, 13.6281, 15.4448, 15.9889, 16.2645, 16.4932, 16.4123, 
16.3712, 16.6969, 16.4471, 15.7717, 15.0181, 14.3877, 13.8612, 
13.2922, 12.827, 12.6743, 12.0628, 11.7609, 11.1841, 10.7316, 
10.4795, 10.3277, 10.0946, 9.7022, 9.18725, 8.60491, 8.01814, 
7.48162, 7.03425, 6.65866, 6.31026, 5.95064, 5.56189, 5.15866, 
4.7864, 4.47161, 4.19178, 3.9228, 3.71874, 3.49209, 3.3692, 3.18742, 
2.98664, 2.84863, 2.73715, 2.60354, 2.54878, 2.37162, 2.14061, 
2.38063, 2.4349, 2.31912, 2.22302, 2.15289, 2.20095, 2.15853, 
2.1258, 2.0669, 2.01484, 1.98343, 1.8913, 1.85837, 1.808, 1.76376, 
1.72386, 1.68334, 1.69975, 1.59986, 1.54482, 1.49832, 1.38057, 
1.34428, 1.27452, 1.23297, 1.26075, 1.27243, 1.25815, 1.56703, 
1.6032, 1.64091, 1.6803, 1.72147, 1.76456, 1.80973, 1.85713, 
1.90692, 1.95927, 2.01435, 2.07235, 2.13344, 2.19781, 2.26563, 
2.33704, 2.41218, 2.49117, 2.5741, 2.66104, 2.75205, 2.84722, 
2.94661, 3.05032, 3.15845, 3.27114, 3.38868, 3.51142, 3.63982, 
3.77453, 3.91635, 4.06634, 4.22575, 4.39611, 4.25377, 4.47893, 
4.73249, 5.01959, 5.3453, 5.7144, 6.13117, 6.59916, 7.12028, 
7.69331, 8.08549, 8.66784, 9.29051, 9.93828, 11.2242, 12.1085, 
12.9517, 13.8734, 15.0021, 15.741, 17.5151, 18.22, 18.632, 18.816, 
18.7719, 18.356, 17.7609, 17.0072, 16.3204, 15.5782, 14.8386, 
14.2329, 13.8694, 13.5334, 13.1331, 12.4767, 11.8529, 11.4155, 
11.1991, 10.9994, 10.6411, 10.1148, 9.48605, 8.82525, 8.20778, 
7.67749, 7.23889, 6.84379, 6.44125, 6.0026, 5.55866, 5.14339, 
4.78872, 4.49902, 4.24755, 4.01333, 3.7883, 3.5757, 3.3799, 3.21316, 
3.07425, 2.95845, 2.85294, 2.72109, 2.62394, 2.60765, 2.56169, 
2.54808, 2.48641, 2.48026, 2.36543, 2.28465, 2.28176, 2.22161, 
2.13816, 2.0576, 1.98198, 1.91892, 1.93408, 1.85799, 1.81766, 
1.77993, 1.74054, 1.69091, 1.66173, 1.66366, 1.66532, 1.56264, 
1.47407, 1.42015, 1.38662, 1.42133, 1.39054, 1.31496, 1.19641, 
1.58005, 1.61635, 1.65416, 1.69358, 1.73473, 1.72768, 1.45627, 
1.70978, 1.84788, 1.97147, 2.02617, 2.08378, 2.14452, 2.20859, 
2.27623, 2.34765, 2.42305, 2.50266, 2.58662, 2.67511, 2.76827, 
2.86625, 2.96917, 3.07709, 3.19011, 3.30834, 3.43195, 3.56115, 
3.69629, 3.83784, 3.98363, 4.14302, 4.30861, 4.48464, 4.62612, 
4.51887, 4.76535, 5.04361, 5.35986, 5.72047, 6.13152, 6.59855, 
6.98655, 7.69342, 8.18968, 8.819, 9.49661, 10.2047, 11.4851, 
12.4718, 13.2876, 14.554, 15.7428, 16.8109, 18.094, 19.3764, 
20.1154, 20.5816, 20.7257, 20.1536, 19.3965, 18.534, 17.6577, 
16.8548, 16.0003, 15.3368, 14.949, 14.5632, 14.0192, 13.2633, 
12.6223, 12.2219, 11.999, 11.6977, 11.1784, 10.5058, 9.7706, 
9.05539, 8.42413, 7.90536, 7.45392, 7.00409, 6.51821, 6.01134, 
5.5488, 5.15152, 4.82321, 4.5431, 4.2872, 4.04549, 3.81825, 3.6017, 
3.41528, 3.26136, 3.13318, 3.03035, 2.91607, 2.8072, 2.86283, 
2.8174, 2.69311, 2.61415, 2.54669, 2.48064, 2.42704, 2.38366, 
2.2778, 2.21091, 2.12687, 1.97208, 1.87284, 1.78071, 1.93248, 
1.82893, 1.82392, 1.79453, 1.75969, 1.71577, 1.68124, 1.65943, 
1.6391, 1.66105, 1.56925, 1.51887, 1.50719, 1.44116, 1.40644, 
1.38433, 1.3274, 1.59413, 1.6307, 1.66875, 1.70838, 1.74969, 
1.22586, 0.943311, 1.05788, 1.29331, 1.43413, 2.03943, 2.098, 
2.15836, 2.22203, 2.26681, 2.21302, 2.43552, 2.51508, 2.5993, 
2.68842, 2.78272, 2.88245, 2.9878, 3.09894, 3.21601, 3.33916, 
3.46852, 3.60424, 3.74656, 3.8958, 4.05244, 4.21712, 4.39074, 
4.57448, 4.76986, 4.96675, 4.91324, 5.21406, 5.71282, 5.73986, 
6.14077, 6.60063, 7.11554, 7.64068, 8.27266, 8.94334, 9.67101, 
10.4592, 11.3243, 12.7933, 13.7927, 15.1043, 16.5439, 17.7481, 
19.0664, 20.5862, 21.8141, 22.4263, 22.4115, 21.8901, 21.039, 
20.2881, 19.3959, 18.3736, 17.3556, 16.5907, 16.1588, 15.6764, 
14.9861, 14.1418, 13.5163, 13.133, 12.7908, 12.2821, 11.6883, 
10.871, 10.05, 9.3052, 8.69001, 8.15833, 7.64979, 7.11385, 6.55477, 
6.02124, 5.565, 5.19266, 4.8733, 4.58603, 4.32148, 4.08648, 3.86651, 
3.66417, 3.48381, 3.33843, 3.22343, 3.13249, 3.10747, 3.01828, 
2.92623, 2.82036, 2.75132, 2.67468, 2.60239, 2.51006, 2.4279, 
2.3667, 2.29912, 2.22631, 2.07792, 1.81824, 1.72554, 1.77022, 
1.97285, 1.7712, 1.75632, 1.76719, 1.74393, 1.71439, 1.67538, 
1.65025, 1.60872, 1.56801, 1.55541, 1.49856, 1.43815, 1.43387, 
1.35999, 1.29346, 1.25578, 1.60913, 1.64607, 1.68449, 1.72446, 
1.76609, 1.2342, 0.977533, 0.927034, 0.93797, 1.02543, 1.08802, 
1.35556, 2.1753, 2.20786, 2.30553, 2.37617, 2.45093, 2.53009, 
2.61403, 2.70308, 2.79763, 2.89804, 3.00463, 3.11771, 3.23755, 
3.36442, 3.49849, 3.63999, 3.78912, 3.94614, 4.11138, 4.28529, 
4.46853, 4.66202, 4.86697, 5.08505, 5.31837, 5.56963, 5.8421, 
6.05631, 6.4665, 6.77955, 7.16954, 7.71443, 8.34059, 9.0422, 
9.81967, 10.675, 11.6108, 13.1511, 14.3138, 15.7979, 17.1855, 
18.5982, 20.8116, 22.468, 23.6157, 24.265, 24.3306, 23.8765, 
23.2721, 22.4254, 21.3498, 20.1449, 18.9255, 18.0904, 17.5302, 
16.936, 16.0708, 15.1234, 14.548, 14.1759, 13.7173, 13.0678, 
12.1765, 11.2479, 10.3547, 9.6072, 8.98278, 8.40133, 7.79669, 
7.17574, 6.59247, 6.07165, 5.61246, 5.24548, 4.91678, 4.63047, 
4.37871, 4.15372, 3.95805, 3.78261, 3.59177, 3.45777, 3.35838, 
3.30578, 3.0013, 2.91832, 2.91832, 2.85538, 2.81689, 2.71871, 
2.62793, 2.51571, 2.4399, 2.38101, 2.32007, 2.22863, 2.00198, 
1.7799, 1.72413, 1.80703, 1.97291, 1.70042, 1.6159, 1.61944, 
1.62804, 1.66688, 1.61156, 1.53182, 1.46635, 1.45607, 1.46125, 
1.40923, 1.34992, 1.31852, 1.23689, 1.22775, 1.20438, 1.61511, 
1.24897, 1.7012, 1.74163, 1.78372, 1.32926, 1.27063, 1.29217, 
1.00705, 0.939758, 0.933351, 1.48187, 1.1916, 1.68995, 2.32532, 
2.39122, 2.12394, 1.44687, 1.37243, 2.44799, 2.8152, 2.91551, 
3.02233, 3.13612, 3.25732, 3.38636, 3.52359, 3.6694, 3.82408, 
3.98798, 4.16139, 4.34468, 4.52643, 4.74305, 4.95969, 5.04994, 
5.37477, 5.49238, 5.63631, 5.96255, 6.32953, 6.7466, 7.22423, 
7.77319, 8.40354, 9.12298, 9.93736, 10.8475, 11.8696, 13.3504, 
14.8013, 16.5955, 18.8634, 20.969, 22.6667, 24.3451, 25.6085, 
26.3646, 26.6794, 26.4519, 25.7998, 24.8961, 23.6025, 22.1317, 
20.77, 19.7713, 19.0984, 18.3334, 17.2833, 16.2956, 15.7414, 
15.3254, 14.6745, 13.7126, 12.6217, 11.5553, 10.7108, 9.97186, 
9.2793, 8.48558, 7.86221, 7.23679, 6.67603, 6.19187, 5.69276, 
5.29481, 4.97132, 4.71067, 4.44069, 4.21881, 4.04665, 3.93885, 
3.74035, 3.57976, 3.53662, 3.07583, 2.90091, 2.78377, 2.82035, 
2.71606, 2.80367, 2.73166, 2.60669, 2.47202, 2.32295, 2.28852, 
2.15154, 1.99958, 1.85214, 1.77873, 1.74504, 1.76047, 1.8903, 
1.83107, 1.63078, 1.46182, 1.48461, 1.56682, 1.46774, 1.35714, 
1.28906, 1.33521, 1.30924, 1.30484, 1.27376, 1.15487, 1.12572, 
1.16089, 1.18868, 1.64135, 1.6793, 1.71873, 1.75973, 1.80239, 
1.29269, 1.79428, 1.33544, 1.11591, 0.979345, 0.897715, 1.12161, 
1.1308, 1.62922, 1.83337, 1.32891, 1.45303, 1.17905, 1.29884, 
1.81709, 2.83711, 2.93698, 3.04345, 3.15709, 3.2785, 3.40828, 
3.547, 3.69526, 3.8536, 4.02256, 4.20257, 4.39413, 4.59773, 4.78605, 
5.04335, 5.28701, 5.15439, 5.43058, 5.73042, 6.05965, 6.4257, 
6.83797, 7.30794, 7.84875, 8.47445, 9.19851, 10.0316, 10.9847, 
12.0809, 13.2755, 15.1772, 17.0048, 19.6242, 21.9376, 24.2616, 
26.2442, 27.9283, 28.9301, 29.4576, 29.4037, 28.8561, 27.8971, 
26.2425, 24.4245, 22.82, 21.6574, 20.9022, 19.9164, 18.6804, 
17.7033, 17.1442, 16.5372, 15.5647, 14.3395, 13.0864, 11.9802, 
11.0601, 10.2523, 9.41097, 8.55287, 7.8218, 7.28635, 6.80807, 
6.31726, 5.88384, 5.49741, 5.11902, 4.76516, 4.48465, 4.19579, 
3.81692, 3.86374, 3.69657, 3.34742, 3.12165, 2.96351, 2.74553, 
2.59785, 2.56678, 2.22315, 2.36065, 2.35533, 2.24178, 2.11223, 
2.14843, 2.16654, 1.92806, 1.78722, 1.63571, 1.65135, 1.71615, 
1.69394, 1.70529, 1.84327, 1.67963, 1.3665, 1.32276, 1.44386, 
1.29846, 1.23234, 1.18859, 1.21579, 1.09157, 1.13878, 1.1911, 
1.03151, 1.02327, 1.0524, 1.1904, 1.65817, 1.69675, 1.73684, 
1.7785, 1.82184, 1.86697, 1.78108, 1.39674, 1.20652, 1.07428, 
0.969663, 0.942295, 1.16256, 1.14212, 1.68071, 1.19522, 1.27824, 
1.1031, 1.28984, 1.8318, 1.98417, 2.70486, 3.06986, 3.18305, 
3.30408, 3.43367, 3.57258, 3.72163, 3.88163, 4.05338, 4.23766, 
4.43523, 4.64681, 4.87307, 5.04242, 5.37262, 5.22031, 5.51135, 
5.82436, 6.16392, 6.53636, 6.95029, 7.41688, 7.95017, 8.5668, 
9.28516, 10.1234, 11.0999, 12.244, 13.833, 15.4424, 17.3802, 
19.899, 22.7194, 25.4758, 28.1497, 30.2254, 31.8714, 32.6838, 
32.9064, 32.7752, 31.7224, 29.4634, 27.1126, 25.1909, 23.9291, 
22.9983, 21.7276, 20.3147, 19.3312, 18.6983, 17.7657, 16.4061, 
14.9207, 13.5564, 12.4262, 11.4412, 10.4741, 9.47234, 8.60383, 
7.82634, 7.22634, 6.67917, 6.30005, 5.89375, 5.54985, 5.21246, 
4.94781, 4.65773, 4.23761, 3.50442, 3.50292, 3.71459, 3.09177, 
2.90334, 2.78263, 2.4855, 2.33151, 2.30724, 2.11987, 2.00454, 
1.91992, 1.9845, 1.94142, 1.91187, 1.953, 1.82819, 1.58235, 1.49089, 
1.49732, 1.54818, 1.50975, 1.49118, 1.57552, 1.66404, 1.38595, 
1.17005, 1.29859, 1.14117, 1.11455, 1.08779, 1.10264, 1.0012, 
0.966697, 0.954834, 1.036, 0.953382, 0.983774, 1.12624, 1.6749, 
1.71424, 1.75509, 1.79754, 1.84169, 1.88765, 1.93552, 1.98541, 
1.33088, 1.13258, 1.19691, 1.03125, 0.947091, 1.15006, 1.2803, 
1.20328, 1.05586, 1.08037, 1.32317, 1.84779, 1.63463, 2.9891, 
3.10243, 3.21543, 3.33613, 3.46529, 3.60383, 3.75267, 3.91287, 
4.08547, 4.27162, 4.47245, 4.68906, 4.92255, 5.17394, 5.44431, 
5.73468, 5.57305, 5.90469, 6.26213, 6.65001, 7.07524, 7.54756, 
8.0802, 8.69033, 9.39904, 10.2305, 11.2094, 12.4607, 13.9415, 
15.6295, 17.7108, 20.3901, 23.5376, 26.6863, 29.8936, 32.9018, 
35.1273, 36.3705, 36.8289, 36.3784, 35.3171, 33.0586, 30.4742, 
28.1739, 26.6462, 25.4442, 23.8133, 22.2339, 21.2953, 20.3948, 
18.9795, 17.2272, 15.536, 14.0944, 12.8972, 11.7165, 10.5398, 
9.54882, 8.70491, 7.95882, 7.32972, 6.74647, 6.28411, 5.98275, 
5.67577, 5.40627, 5.16075, 4.88625, 4.54436, 4.03984, 3.81658, 
3.45763, 3.01942, 2.65284, 2.38893, 2.24104, 2.16335, 2.12838, 
2.09795, 1.98173, 1.86103, 1.84495, 1.77418, 1.74608, 1.77342, 
1.63237, 1.48986, 1.34707, 1.32335, 1.34255, 1.35354, 1.33123, 
1.34255, 1.33649, 1.40237, 1.17452, 1.18345, 1.08084, 1.05332, 
0.997479, 0.994393, 0.958507, 0.904568, 0.925928, 1.01549, 0.920026, 
0.976033, 1.11744, 1.69089, 1.73109, 1.77283, 1.8162, 1.8613, 
1.90824, 1.95712, 2.00804, 1.47582, 1.52579, 1.27821, 1.05557, 
0.986449, 0.977108, 1.09732, 1.03668, 0.970139, 1.07637, 1.34862, 
1.41755, 1.83587, 3.03442, 3.14108, 3.25453, 3.37546, 3.50465, 
3.64301, 3.79156, 3.95143, 4.12386, 4.31025, 4.51206, 4.73082, 
4.96811, 5.22554, 5.5047, 5.80711, 5.60859, 5.95917, 6.3385, 
6.74934, 7.19631, 7.68662, 8.23114, 8.84529, 9.90777, 10.3695, 
11.2488, 12.4827, 13.9792, 15.7401, 17.9275, 20.7653, 24.0616, 
27.8203, 31.6917, 35.5585, 38.7216, 40.8161, 41.9039, 41.4782, 
39.9976, 37.4919, 34.4102, 31.6731, 29.8798, 28.303, 26.2447, 
24.6134, 23.5661, 22.1463, 20.1801, 18.0946, 16.2699, 14.7213, 
13.2898, 11.8528, 10.5936, 9.59395, 8.78896, 8.11554, 7.52762, 
6.84926, 6.32524, 6.14296, 5.90778, 5.64534, 5.39516, 5.07107, 
4.74974, 4.30942, 3.98516, 3.52214, 3.13818, 2.70901, 2.39362, 
2.23378, 2.1373, 2.06338, 2.03868, 1.94492, 1.88297, 1.74635, 
1.63991, 1.59524, 1.5285, 1.4513, 1.3224, 1.2654, 1.19442, 1.19742, 
1.21633, 1.22571, 1.22707, 1.23869, 1.26839, 1.21529, 1.10512, 
1.11263, 1.02169, 0.971129, 0.937785, 0.920084, 0.915482, 0.949792, 
0.967171, 0.920715, 0.943089, 1.03052, 1.70534, 1.74649, 1.78921, 
1.83362, 1.87979, 1.92785, 1.97788, 2.03001, 1.999, 1.53533, 
1.15891, 1.04373, 1.10476, 1.07079, 1.00486, 1.02257, 0.924879, 
1.03021, 1.22497, 1.47472, 2.32863, 3.05697, 3.18502, 3.29973, 
3.42175, 3.55182, 3.69083, 3.83976, 3.99977, 4.17215, 4.3584, 
4.56016, 4.26114, 4.48202, 4.72608, 5.34553, 5.87105, 5.62387, 
5.98624, 6.3836, 6.81806, 7.29251, 7.81153, 8.38257, 9.01736, 
9.74987, 10.553, 11.346, 12.5445, 14.0272, 15.8082, 18.019, 20.955, 
24.6567, 28.8929, 33.4156, 38.1275, 42.6201, 45.9186, 47.5742, 
47.5228, 46.0434, 43.0624, 39.2933, 35.9283, 33.7778, 31.6984, 
29.2044, 27.5118, 26.0663, 23.904, 21.3995, 19.069, 17.115, 15.277, 
13.5352, 11.9949, 10.7367, 9.71162, 8.87195, 8.195, 7.58753, 
7.10178, 6.6858, 6.25894, 6.10483, 5.90549, 5.70167, 5.30015, 
4.99324, 4.74629, 4.25038, 3.72445, 3.22831, 2.84365, 2.51355, 
2.31295, 2.15827, 2.01569, 1.93721, 1.86362, 1.7749, 1.68094, 
1.53784, 1.42456, 1.36887, 1.2932, 1.21544, 1.16448, 1.12174, 
1.13401, 1.14587, 1.17537, 1.17464, 1.18285, 1.20028, 1.14796, 
1.08962, 1.08668, 1.03513, 0.989274, 0.969066, 0.924179, 0.928268, 
0.932179, 0.919313, 0.897097, 0.91573, 1.0013, 1.7175, 1.75962, 
1.80337, 1.84885, 1.89617, 1.94542, 1.99672, 2.05018, 2.10593, 
1.5066, 1.1534, 1.18011, 1.29046, 1.12358, 1.21906, 1.06364, 
0.943622, 1.07473, 1.34115, 1.70674, 2.43114, 2.6327, 2.8699, 
3.34967, 3.47373, 3.60575, 3.74652, 3.89702, 4.05831, 4.23169, 
4.41863, 4.62078, 4.76773, 4.52288, 4.75969, 5.02211, 5.93719, 
5.80946, 6.00169, 6.40547, 6.85408, 7.35098, 7.89998, 8.50616, 
9.1773, 9.92599, 10.7675, 11.7506, 12.8644, 14.1015, 15.8874, 
18.0959, 20.9526, 24.7859, 29.4715, 34.7938, 40.3637, 46.1113, 
51.3256, 54.3455, 54.9751, 53.5795, 50.0654, 45.3319, 41.2373, 
38.6037, 35.7927, 32.8932, 30.9949, 28.6973, 25.6549, 22.6838, 
20.1077, 17.8298, 15.63, 13.7325, 12.2236, 10.9563, 9.89967, 
9.03722, 8.40266, 7.86526, 7.45796, 7.1574, 6.63663, 6.25531, 
5.99887, 5.87799, 5.81982, 5.58804, 5.19252, 4.47538, 3.9766, 
3.48116, 2.81018, 2.57684, 2.34617, 2.16326, 2.00079, 1.85718, 
1.76796, 1.629, 1.55285, 1.46842, 1.38871, 1.31527, 1.26024, 
1.20871, 1.15297, 1.12451, 1.1442, 1.14591, 1.16666, 1.17845, 
1.20476, 1.22015, 1.18614, 1.10921, 1.06845, 1.06248, 0.984753, 
0.946615, 0.920493, 0.919214, 0.911899, 0.874793, 0.848591, 0.88043, 
0.936786, 1.72689, 1.76991, 1.81463, 1.86115, 1.90958, 1.96002, 
2.01258, 2.0674, 2.12458, 1.65073, 1.35635, 1.42695, 1.46862, 
1.39401, 1.27501, 1.09255, 0.996745, 1.30135, 1.67789, 2.25938, 
2.48009, 3.04936, 3.28241, 3.13221, 3.52926, 3.6643, 3.80807, 
3.96148, 4.12557, 4.30155, 4.4908, 4.69495, 4.91586, 5.15577, 
4.90167, 5.07983, 5.36342, 6.36274, 6.0335, 6.43127, 6.87899, 
7.38289, 7.94912, 8.58381, 9.29386, 10.0884, 11.0557, 12.2757, 
12.8713, 14.2653, 16.0401, 18.1867, 20.9493, 24.66, 29.5438, 
35.3373, 42.0509, 49.4804, 57.0125, 62.4117, 64.6145, 63.2653, 
59.4801, 53.2873, 48.1254, 44.6404, 40.8488, 37.5696, 34.9628, 
31.3618, 27.4584, 24.0315, 21.0527, 18.2267, 15.8513, 13.9792, 
12.4549, 11.2125, 10.1931, 9.42524, 8.81272, 8.31524, 7.8578, 
7.53832, 7.03375, 6.64079, 6.27417, 5.91752, 5.54227, 5.29876, 
5.2546, 4.76035, 4.18881, 3.66085, 2.98351, 2.58057, 2.31197, 
2.10766, 1.97894, 1.84554, 1.71869, 1.55418, 1.49377, 1.47301, 
1.44803, 1.37032, 1.3432, 1.29131, 1.24714, 1.22157, 1.20057, 
1.18411, 1.195, 1.20932, 1.18408, 1.19207, 1.12684, 1.11525, 
1.05182, 1.03646, 0.976983, 0.924308, 0.909811, 0.908352, 0.910538, 
0.885877, 0.86223, 0.88984, 0.952911, 1.73342, 1.7772, 1.82274, 
1.87017, 1.91957, 1.97107, 1.96718, 1.85036, 2.09072, 2.20054, 
2.17984, 1.75694, 1.70569, 1.53962, 1.38652, 1.32992, 1.02416, 
1.21948, 1.52527, 2.1146, 2.20377, 2.43943, 3.30552, 3.45426, 
3.50841, 3.72422, 3.87214, 4.02982, 4.19825, 4.37859, 4.57215, 
4.78046, 5.0053, 5.2488, 5.5134, 5.17984, 5.45152, 5.77475, 6.73703, 
6.49322, 6.93003, 7.42545, 7.98919, 8.63144, 9.36282, 10.3129, 
10.7644, 11.8551, 13.0852, 14.4551, 16.3, 18.4233, 21.0849, 24.6034, 
29.3611, 35.5796, 43.3719, 53.1203, 62.5969, 71.8836, 76.1576, 
76.1705, 72.1681, 64.1797, 57.142, 52.2655, 47.2273, 43.4134, 
39.1891, 34.0027, 29.3466, 25.3306, 21.6426, 18.5535, 16.1506, 
14.2855, 12.7773, 11.5905, 10.6982, 9.96935, 9.37206, 8.84891, 
8.367, 8.04383, 7.57216, 7.12116, 6.67712, 6.20644, 5.76599, 
5.34417, 4.97957, 4.57891, 4.17432, 3.79448, 3.26287, 2.66672, 
2.38042, 2.18296, 2.07211, 2.01917, 1.81591, 1.66014, 1.59783, 
1.59086, 1.59521, 1.52981, 1.47178, 1.39046, 1.3514, 1.28569, 
1.25339, 1.20181, 1.20524, 1.19164, 1.1639, 1.18119, 1.11152, 
1.09844, 1.06568, 1.04995, 1.02659, 0.987764, 0.956144, 0.942437, 
0.948552, 0.934872, 0.912372, 0.937987, 0.991272, 1.73751, 1.78185, 
1.82801, 1.87612, 1.92628, 1.97862, 2.03327, 2.09035, 2.15001, 
2.21241, 2.27771, 2.34611, 1.73605, 1.77096, 1.56408, 1.36651, 
1.21553, 0.997561, 1.30651, 1.437, 1.76166, 1.94857, 2.15751, 
3.00794, 2.99828, 2.08195, 3.37972, 3.98876, 4.27126, 4.45756, 
4.65733, 4.87204, 5.10341, 5.35346, 5.62447, 4.60815, 5.4563, 
6.4185, 5.36911, 7.41375, 7.03718, 7.52049, 8.07069, 8.7013, 
9.42786, 10.4404, 10.8056, 11.9427, 13.2746, 14.5986, 16.5188, 
18.8185, 21.3635, 24.8507, 29.3541, 35.7006, 44.5057, 55.5984, 
68.0199, 83.1203, 91.8577, 94.3434, 89.5361, 78.8251, 69.1071, 
62.1377, 55.4761, 50.3076, 43.5336, 36.7641, 31.1661, 26.275, 
22.1493, 19.041, 16.6399, 14.8168, 13.3801, 12.2855, 11.425, 
10.6935, 10.0607, 9.48664, 8.95698, 8.42723, 7.94475, 7.43837, 
6.95965, 6.37304, 5.78686, 5.30905, 4.8443, 4.4594, 4.15062, 
3.84943, 3.55332, 3.03396, 2.80515, 2.69353, 2.61895, 2.23345, 
2.01807, 1.92928, 1.76838, 1.65845, 1.70099, 1.67847, 1.56234, 
1.46168, 1.42146, 1.34247, 1.31386, 1.25127, 1.21663, 1.21056, 
1.20788, 1.18773, 1.17367, 1.13093, 1.10328, 1.10308, 1.08224, 
1.05823, 1.02694, 0.989829, 0.982061, 0.969681, 0.969292, 0.974354, 
0.989499, 1.73994, 1.78463, 1.83119, 1.87975, 1.93043, 1.98335, 
2.03864, 2.09646, 2.15694, 2.22026, 2.2866, 2.35616, 2.42914, 
2.37814, 1.79229, 1.36597, 1.22127, 1.10577, 0.997883, 1.05682, 
1.3655, 1.74051, 1.78564, 1.90819, 2.25825, 2.37132, 2.91494, 
3.00811, 4.33826, 4.53155, 4.73888, 4.96173, 4.38036, 5.2405, 
5.74177, 6.04661, 6.37882, 6.7422, 7.14137, 5.58124, 8.07051, 
7.68729, 8.23017, 8.84837, 9.55907, 10.3836, 11.4875, 10.1523, 
11.6231, 13.7161, 15.8573, 20.8905, 23.5809, 26.0475, 29.8464, 
35.876, 44.8694, 57.7507, 75.4089, 96.2812, 112.938, 120.452, 
114.661, 99.5634, 85.7567, 75.4625, 66.6679, 58.0456, 47.8542, 
39.5613, 32.5423, 27.0326, 22.9211, 19.7766, 17.4683, 15.7299, 
14.4024, 13.3167, 12.4055, 11.5716, 10.7959, 10.0701, 9.38601, 
8.69567, 8.12249, 7.37798, 6.78088, 6.26983, 5.76643, 5.26509, 
4.88623, 4.56498, 4.29765, 4.0904, 3.83461, 3.60256, 3.48761, 
3.54122, 3.21607, 2.74424, 2.42656, 2.20689, 2.03116, 1.82641, 
1.68255, 1.73788, 1.73145, 1.64165, 1.53712, 1.4834, 1.42462, 
1.35664, 1.30384, 1.2818, 1.27465, 1.24414, 1.22494, 1.19881, 
1.15512, 1.13535, 1.11158, 1.07529, 1.05101, 1.01486, 0.985422, 
0.975535, 0.963482, 0.953411, 0.954512, 1.74167, 1.78654, 1.83333, 
1.88215, 1.93312, 1.98638, 2.04206, 2.10032, 2.16132, 2.22523, 
2.29225, 2.36257, 2.43644, 2.4047, 1.82646, 1.5651, 1.41808, 
1.11166, 1.07171, 0.920928, 0.997489, 1.27662, 1.36776, 1.72285, 
2.68199, 2.98692, 3.1126, 3.25006, 3.25355, 4.58913, 4.66592, 
4.71922, 4.39557, 5.55479, 5.85272, 6.17048, 6.51672, 6.89522, 
7.31049, 7.29763, 8.27406, 8.51733, 8.79052, 8.70052, 9.33804, 
10.6061, 8.98049, 10.7376, 12.2277, 13.5979, 15.0029, 20.3599, 
24.6091, 28.1147, 30.6606, 36.3955, 45.0459, 58.6954, 79.583, 
108.266, 138.564, 156.573, 152.285, 130.639, 109.609, 93.9776, 
81.1292, 66.4748, 52.556, 41.8702, 33.6493, 28.1157, 24.039, 
21.108, 18.8915, 17.1892, 15.8064, 14.5762, 13.4263, 12.2904, 
11.2236, 10.1944, 9.32483, 8.52543, 7.79541, 7.23282, 6.76477, 
6.22033, 5.78275, 5.35386, 5.05183, 4.7699, 4.52856, 4.30126, 
4.05587, 3.90738, 3.75162, 3.46975, 3.50131, 3.22458, 3.09067, 
2.82418, 2.48508, 2.17358, 1.91167, 2.00056, 1.92793, 1.78155, 
1.64819, 1.60352, 1.49713, 1.43285, 1.3887, 1.33914, 1.29801, 
1.25557, 1.2252, 1.18701, 1.14676, 1.11113, 1.08459, 1.05206, 
1.01061, 0.971572, 0.943834, 0.909477, 0.895987, 0.88514, 0.865913, 
1.74357, 1.78854, 1.83543, 1.88439, 1.93551, 1.98894, 2.04483, 
2.10333, 2.16461, 2.22885, 2.29625, 2.36702, 2.4414, 2.51966, 
2.58347, 1.83986, 1.39718, 1.31237, 1.08475, 0.910767, 0.852833, 
0.914969, 1.2611, 1.40983, 1.71524, 2.9846, 3.11613, 3.25688, 
3.40765, 3.38724, 4.13554, 4.22746, 4.41249, 4.68324, 5.93916, 
6.27602, 6.63756, 7.03337, 7.46815, 7.94742, 7.08546, 7.9881, 
8.95, 7.27786, 8.5288, 8.70689, 9.87826, 10.7035, 12.5485, 12.6413, 
15.3483, 17.3285, 25.5672, 29.4014, 32.6432, 37.2025, 45.1604, 
58.288, 80.4137, 116.033, 163.675, 204.708, 211.196, 180.405, 
146.348, 121.596, 99.2686, 75.5536, 56.9334, 44.178, 35.8224, 
30.2107, 26.3892, 23.4779, 21.1116, 18.932, 17.1458, 15.3913, 
13.7993, 12.3517, 11.0962, 10.0124, 9.1193, 8.35371, 7.7003, 
7.14864, 6.64638, 6.33354, 5.95119, 5.6129, 5.21454, 4.97317, 
4.71208, 4.45887, 4.24801, 4.15814, 3.84859, 3.59179, 3.21978, 
3.23213, 2.91764, 2.79628, 3.03583, 2.83471, 2.50017, 2.44785, 
2.03646, 1.84705, 1.77519, 1.61888, 1.53487, 1.46563, 1.36086, 
1.30589, 1.25121, 1.18686, 1.14027, 1.10668, 1.07443, 1.04453, 
1.02484, 1.00144, 0.967148, 0.923136, 0.893106, 0.853119, 0.830166, 
0.814991, 0.796013, 1.74624, 1.79127, 1.83825, 1.88728, 1.9385, 
1.99204, 2.04805, 2.10669, 2.16813, 2.23255, 2.30017, 2.37119, 
2.44585, 2.52444, 2.60438, 1.7931, 1.48672, 1.15945, 1.03393, 
1.06726, 0.872408, 0.895308, 1.00539, 1.07243, 1.67886, 2.03773, 
3.10713, 3.19375, 3.39082, 3.5633, 3.57313, 3.71529, 4.36095, 
4.50138, 4.72395, 6.35398, 6.72889, 7.14045, 7.59376, 8.09483, 
7.7815, 8.95038, 9.9637, 10.7435, 11.6256, 12.6294, 13.7801, 
14.1687, 12.7696, 18.3821, 19.9412, 21.5431, 26.5585, 30.6905, 
35.9109, 38.5028, 45.7248, 57.6674, 78.7052, 116.83, 181.57, 
261.208, 306.225, 269.672, 209.562, 163.133, 117.326, 84.0149, 
61.2009, 48.0507, 39.7383, 34.2889, 29.9587, 26.2798, 22.8875, 
19.8394, 17.3393, 15.2722, 13.5521, 12.1677, 11.0082, 10.009, 
9.16675, 8.46287, 7.84545, 7.31426, 6.82979, 6.43666, 6.05357, 
5.6963, 5.38902, 5.11659, 4.86367, 4.67857, 4.46489, 4.19231, 
3.95605, 3.74167, 3.52583, 3.13897, 2.74027, 2.43257, 2.41934, 
2.36512, 2.71499, 2.52777, 2.17868, 1.94853, 1.81501, 1.60327, 
1.50581, 1.42598, 1.30123, 1.25013, 1.18788, 1.11848, 1.07333, 
1.05325, 1.03358, 1.01406, 0.986566, 0.973091, 0.946054, 0.901932, 
0.864321, 0.828828, 0.770983, 0.752633, 0.765303, 1.7499, 1.79502, 
1.84209, 1.89123, 1.94256, 1.99621, 2.05234, 2.11111, 2.17269, 
2.23727, 2.30505, 2.37625, 2.45112, 2.52314, 1.81487, 1.82013, 
1.50151, 1.38963, 1.28526, 1.05794, 0.869606, 0.890431, 0.872276, 
1.10917, 1.27539, 1.36966, 1.73122, 1.96198, 2.27873, 3.56218, 
3.73629, 3.71912, 3.8558, 4.5209, 4.79552, 4.83698, 6.7901, 7.21304, 
7.68019, 8.19813, 7.88753, 9.41944, 10.1436, 10.9611, 11.8893, 
12.9494, 14.1687, 14.7186, 13.0418, 19.1856, 21.5165, 23.2085, 
26.0885, 32.1825, 37.7894, 39.9901, 47.7342, 58.7277, 77.6293, 
112.837, 185.333, 317.231, 458.714, 456.981, 333.072, 224.504, 
138.483, 93.0353, 69.8069, 56.2518, 46.196, 38.3866, 32.0453, 
26.9313, 22.9019, 19.7515, 17.1725, 15.2159, 13.639, 12.3381, 
11.2279, 10.2796, 9.45428, 8.75592, 8.12099, 7.57913, 7.09206, 
6.65796, 6.25867, 5.88229, 5.5476, 5.22114, 4.92753, 4.71834, 
4.51737, 4.33093, 4.03415, 3.79196, 3.53959, 3.18049, 2.69525, 
2.34646, 2.17349, 2.09284, 2.2671, 2.58379, 2.25249, 1.88147, 
1.74055, 1.68373, 1.52626, 1.3838, 1.32324, 1.2438, 1.16809, 
1.09796, 1.08234, 1.06024, 1.06723, 1.06164, 1.00937, 1.01364, 
0.95686, 0.910504, 0.876276, 0.844079, 0.817545, 0.763466, 0.742058, 
1.75445, 1.79971, 1.84693, 1.89621, 1.94769, 2.00151, 2.0578, 
2.11675, 2.17852, 2.2433, 2.31128, 2.38271, 2.45781, 1.79718, 
1.85442, 1.84928, 1.42771, 1.4362, 1.11715, 0.988837, 0.967987, 
1.06444, 0.941181, 0.946036, 0.999555, 1.37157, 1.34787, 1.55126, 
2.33333, 3.59217, 3.76827, 3.87329, 3.93244, 4.15213, 4.82385, 
4.99452, 6.14872, 7.26156, 7.73715, 8.26558, 8.43724, 9.51636, 
9.10587, 11.1049, 12.0664, 13.1694, 14.444, 15.3968, 15.1057, 
19.7469, 22.2367, 23.7466, 27.42, 31.1248, 35.1163, 41.6639, 
50.4241, 59.2539, 72.4185, 104.845, 176.797, 350.126, 670.443, 
950.636, 623.662, 299.703, 165.643, 112.645, 82.4986, 62.4464, 
48.5951, 38.8442, 31.9642, 26.8807, 23.0673, 20.1026, 17.6927, 
15.7501, 14.1703, 12.8441, 11.7058, 10.7203, 9.86083, 9.10458, 
8.43732, 7.844, 7.30129, 6.81803, 6.37722, 5.95882, 5.56604, 
5.22744, 4.96631, 4.74919, 4.53142, 4.36606, 4.07077, 3.82395, 
3.57732, 3.17576, 2.64368, 2.39602, 2.15725, 2.02764, 1.97915, 
2.18573, 2.39221, 2.19293, 1.83191, 1.60746, 1.49072, 1.42438, 
1.32088, 1.25731, 1.19731, 1.15157, 1.15873, 1.14371, 1.1632, 
1.1311, 1.102, 1.08754, 1.02705, 0.968009, 0.936393, 0.900789, 
0.864081, 0.829398, 0.770116, 1.75962, 1.80506, 1.85247, 1.90195, 
1.95364, 2.00767, 2.0642, 2.12338, 2.18541, 2.25045, 2.31871, 
2.39043, 1.72699, 1.30287, 1.41675, 1.77919, 1.5391, 1.25073, 
1.25823, 1.10391, 1.36802, 1.2261, 1.08964, 1.1532, 1.04142, 
1.31967, 1.66997, 1.95481, 2.19748, 3.18944, 3.83253, 4.02629, 
3.9364, 4.45032, 4.73282, 4.93814, 5.2918, 6.9341, 7.78193, 8.31656, 
8.91387, 9.58434, 8.85246, 11.1995, 12.1802, 13.3079, 14.6149, 
15.978, 14.8367, 20.0984, 22.6984, 25.0716, 27.1057, 30.9551, 
36.2616, 44.0939, 50.835, 60.6122, 75.9784, 105.018, 169.383, 
348.03, 937.605, 2257.96, 1328.77, 383.52, 202.013, 126.482, 
87.4162, 64.4145, 50.1865, 40.3102, 33.4159, 28.2735, 24.3329, 
21.2213, 18.6648, 16.5855, 14.8819, 13.4666, 12.2235, 11.162, 
10.2415, 9.44591, 8.73043, 8.05507, 7.46147, 6.93477, 6.4567, 
6.0312, 5.63571, 5.32967, 5.05047, 4.79252, 4.56813, 4.3538, 
4.26765, 3.90756, 3.61466, 3.29751, 2.94482, 2.54384, 2.26932, 
2.10226, 1.9912, 1.96319, 2.06441, 2.36416, 2.03668, 1.72916, 
1.52535, 1.43896, 1.37454, 1.3042, 1.23954, 1.24856, 1.25298, 
1.27554, 1.35336, 1.28204, 1.22717, 1.15133, 1.06295, 1.0095, 
0.98915, 0.961071, 0.922476, 0.888278, 0.853059, 1.76514, 1.8108, 
1.85843, 1.90815, 1.96009, 2.01438, 2.07118, 2.13066, 2.19299, 
2.25836, 2.32697, 1.87932, 1.75172, 1.79436, 1.23172, 1.30669, 
1.41231, 1.29922, 1.25197, 1.38977, 1.61078, 1.3063, 1.33395, 
1.29978, 1.14165, 1.18203, 1.65118, 1.9994, 2.66468, 3.05279, 
3.53166, 4.11404, 4.3078, 3.43684, 4.82759, 5.14119, 5.51202, 
5.53102, 7.82638, 8.36556, 8.96817, 8.35044, 10.3292, 11.2764, 
12.2679, 13.409, 14.7327, 16.2659, 14.1621, 15.4303, 16.9162, 
21.6922, 26.7966, 31.7539, 38.0538, 45.6773, 50.4728, 63.7595, 
84.3351, 116.786, 182.177, 344.17, 1243.76, 5010.52, 953.454, 
378.965, 209.171, 133.141, 91.7211, 67.8358, 52.7998, 42.5471, 
35.2263, 29.6609, 25.4209, 22.0473, 19.2892, 17.1025, 15.3251, 
13.8371, 12.5413, 11.4395, 10.5016, 9.66207, 8.89092, 8.18426, 
7.57907, 7.0454, 6.56036, 6.12681, 5.78256, 5.47518, 5.17562, 
4.88933, 4.65676, 4.4452, 4.40675, 4.00019, 3.77014, 3.48044, 
3.01137, 2.69532, 2.47393, 2.27125, 2.0822, 1.99355, 1.94782, 
2.22095, 2.30208, 2.07873, 1.81403, 1.58391, 1.50331, 1.39357, 
1.32156, 1.32862, 1.36294, 1.45115, 1.42754, 1.29906, 1.22356, 
1.16238, 1.10518, 1.04914, 1.02505, 1.00159, 0.973543, 0.938107, 
0.899335, 1.77085, 1.81674, 1.86462, 1.9146, 1.96682, 2.0214, 
2.07852, 2.13832, 2.02341, 2.046, 2.2699, 1.8383, 1.80868, 1.85093, 
2.13646, 1.98416, 1.60209, 1.60424, 1.62998, 1.83513, 1.6611, 
1.54135, 1.78399, 1.5953, 1.30755, 1.20123, 1.35206, 1.90604, 
2.47159, 2.94382, 3.25009, 3.48028, 2.96438, 2.61017, 3.29617, 
5.19439, 5.41579, 5.92156, 5.99283, 6.71664, 9.01991, 8.42503, 
10.4691, 11.3383, 12.3379, 13.4843, 14.7369, 16.2165, 15.3432, 
17.2312, 19.8224, 23.2545, 29.0828, 34.4258, 42.2611, 45.7625, 
52.4874, 66.1344, 86.9226, 122.275, 191.835, 360.646, NA, 1079.58, 
527.247, 281.169, 174.514, 122.478, 89.1155, 67.0687, 52.5213, 
42.407, 34.9212, 29.2666, 25.0955, 21.7772, 18.9936, 16.829, 
15.0154, 13.5906, 12.3477, 11.2675, 10.3291, 9.47431, 8.70281, 
8.05274, 7.48271, 6.97676, 6.54122, 6.16236, 5.80216, 5.49267, 
5.18591, 4.91922, 4.68571, 4.48068, 4.32276, 4.12764, 3.86574, 
3.56553, 3.14897, 2.84708, 2.6376, 2.43775, 2.26618, 2.0706, 
1.96628, 2.01257, 2.037, 2.22827, 1.94893, 1.80236, 1.6236, 1.46072, 
1.39935, 1.38452, 1.43761, 1.53817, 1.39937, 1.26502, 1.2031, 
1.18562, 1.13235, 1.0907, 1.05332, 1.01679, 0.989361, 0.966903, 
0.947461, 1.77672, 1.82286, 1.871, 1.92126, 1.97378, 2.02867, 
2.08611, 2.14627, 2.20932, 2.27544, 2.34486, 2.41778, 2.49447, 
2.5752, 2.6603, 2.75005, 2.55447, 2.39928, 2.18743, 2.00571, 
1.75929, 2.07287, 2.04693, 1.60059, 1.63159, 1.33434, 1.47389, 
1.61907, 1.83939, 2.78625, 2.65231, 2.94079, 2.42772, 2.72588, 
3.84553, 4.95462, 5.44315, 5.85339, 6.20258, 6.63762, 7.00606, 
9.17728, 10.5013, 8.7765, 10.2374, 11.3745, 11.9932, 13.1907, 
14.9495, 17.6245, 20.048, 23.1875, 29.3215, 34.9583, 41.4098, 
45.7661, 53.9139, 66.1015, 85.7856, 120.449, 181.229, 281.926, 
441.074, 448.011, 302.494, 194.928, 130.786, 97.2387, 75.2805, 
60.6779, 49.6223, 40.9442, 33.9708, 28.621, 24.4013, 21.2048, 
18.5811, 16.3983, 14.5546, 13.1183, 11.883, 10.8357, 9.9052, 
9.08313, 8.33801, 7.70282, 7.17129, 6.70151, 6.32302, 5.96965, 
5.63558, 5.327, 5.03607, 4.78881, 4.56289, 4.37954, 4.23419, 
4.09272, 3.77656, 3.47283, 3.29566, 2.8906, 2.73611, 2.49945, 
2.29903, 2.09556, 1.9061, 1.87521, 1.86065, 1.99443, 2.11352, 
1.89024, 1.64843, 1.53811, 1.42391, 1.42554, 1.52946, 1.52029, 
1.38358, 1.25039, 1.19176, 1.17803, 1.13784, 1.0951, 1.06619, 
1.03803, 1.00369, 0.978065, 0.965263, 1.78279, 1.82918, 1.8776, 
1.92814, 1.98095, 2.03616, 2.09393, 2.15443, 2.21784, 2.28434, 
2.35415, 2.42749, 2.5046, 2.58578, 2.67134, 2.76158, 2.85687, 
2.95762, 3.06327, 2.40404, 2.26596, 2.38753, 2.21645, 1.92612, 
1.79931, 1.4705, 1.52274, 1.50409, 1.9845, 2.34946, 2.0606, 2.16705, 
2.37121, 3.49151, 4.39514, 5.23809, 5.53729, 6.01245, 6.4543, 
6.67195, 7.44554, 8.03261, 10.4751, 10.0487, 10.4356, 10.9867, 
11.7137, 12.8309, 14.7078, 17.1486, 19.7458, 22.8688, 28.5407, 
33.9881, 36.9002, 43.9621, 52.8613, 65.3227, 83.4634, 111.432, 
151.067, 207.263, 258.773, 253.946, 199.585, 144.897, 101.646, 
73.3867, 59.6072, 50.2795, 43.2827, 37.4587, 32.1653, 27.8237, 
24.1747, 21.0917, 18.5469, 16.3781, 14.5108, 13.0054, 11.7717, 
10.6615, 9.72476, 8.88938, 8.119, 7.47012, 6.93597, 6.48558, 
6.10992, 5.76391, 5.43427, 5.13886, 4.85282, 4.60712, 4.40327, 
4.2203, 4.09379, 4.02786, 3.7325, 3.5178, 3.28037, 2.9669, 2.77492, 
2.42994, 2.24742, 2.05405, 1.88176, 1.78877, 1.74405, 1.7067, 
1.77102, 1.95392, 1.77864, 1.51568, 1.42292, 1.50516, 1.55241, 
1.4014, 1.29244, 1.21325, 1.16387, 1.1459, 1.11961, 1.08568, 
1.05481, 1.03146, 0.976555, 0.930567, 0.913446, 1.78904, 1.83568, 
1.88434, 1.93515, 1.98823, 2.04372, 2.10177, 2.16257, 2.22628, 
2.2931, 2.36323, 2.43689, 2.51432, 2.59582, 2.6817, 2.77225, 
2.86783, 2.96886, 3.07579, 3.01391, 2.58752, 2.60276, 2.51636, 
2.4367, 1.87244, 1.85228, 1.89081, 1.64574, 1.6672, 2.03888, 
1.97373, 2.07574, 2.39412, 2.82087, 3.68197, 4.84484, 5.65612, 
5.9414, 6.46789, 6.88283, 7.33887, 8.88798, 9.4335, 11.1699, 
9.65946, 10.6302, 11.5705, 13.3504, 15.1976, 16.9702, 19.0849, 
21.7044, 25.745, 29.0464, 34.8224, 42.151, 51.0616, 62.0451, 
76.9666, 95.9717, 117.122, 151.397, 170.981, 168.011, 138.765, 
111.418, 85.1321, 61.8901, 48.8747, 40.7207, 35.4162, 31.682, 
28.4716, 25.5822, 22.834, 20.3924, 18.2251, 16.2805, 14.6067, 
13.1942, 11.9739, 10.841, 9.8332, 8.95494, 8.15341, 7.48203, 
6.91599, 6.44841, 6.05405, 5.68311, 5.36939, 5.025, 4.73584, 
4.48079, 4.28229, 4.10366, 3.96267, 3.79672, 3.67142, 3.50456, 
3.27779, 3.00313, 2.60049, 2.3212, 2.15974, 2.01669, 1.85327, 
1.72227, 1.63956, 1.58637, 1.57432, 1.70341, 1.81691, 1.61383, 
1.4821, 1.58816, 1.36414, 1.27941, 1.20666, 1.15908, 1.12581, 
1.094, 1.07605, 1.04632, 1.01939, 0.997628, 0.949531, 0.912467, 
0.911797, 1.79528, 1.8421, 1.89096, 1.94196, 1.99524, 2.05092, 
2.10917, 2.17015, 2.23403, 2.30101, 2.37129, 2.44508, 2.52262, 
2.6042, 2.69011, 2.78064, 2.87616, 2.97705, 3.08376, 3.18776, 
3.23708, 2.7271, 2.68005, 2.58246, 2.49098, 2.43738, 2.20933, 
1.89305, 1.74478, 1.85723, 1.91183, 2.11027, 2.68505, 3.62293, 
4.40257, 5.20151, 5.65539, 5.95861, 6.32488, 6.79664, 7.2096, 
8.87491, 8.05256, 11.0189, 9.56232, 10.5861, 12.0278, 13.2779, 
14.7786, 16.3229, 18.8341, 21.5295, 24.7381, 28.657, 33.6692, 
40.2611, 48.3289, 58.2387, 69.3263, 78.5709, 95.6121, 114.402, 
122.016, 120.34, 102.315, 86.7995, 71.8963, 55.8011, 43.3473, 
35.2859, 29.6529, 26.4592, 24.2599, 22.3213, 20.4695, 18.7354, 
17.1169, 15.6286, 14.2303, 13.0769, 11.9926, 10.9737, 10.0087, 
9.13214, 8.32606, 7.64551, 7.03945, 6.56587, 6.15196, 5.65502, 
5.25224, 5.00807, 4.73183, 4.45825, 4.26541, 4.08437, 3.90745, 
3.77461, 3.60616, 3.29523, 2.98177, 2.69448, 2.36337, 2.14079, 
2.00264, 1.86122, 1.74764, 1.64605, 1.55581, 1.49211, 1.43974, 
1.46729, 1.55446, 1.68218, 1.59863, 1.39425, 1.37855, 1.28835, 
1.17208, 1.13401, 1.09227, 1.04741, 1.0332, 0.999581, 0.975404, 
0.958578, 0.937689, 0.912579, 0.896919, 1.80105, 1.84797, 1.89691, 
1.94799, 2.00132, 2.05705, 2.11531, 2.17628, 2.24013, 2.30703, 
2.37719, 2.45082, 2.52813, 2.60941, 2.69494, 2.78501, 2.87995, 
2.98014, 3.086, 3.19799, 3.31659, 2.77, 2.80268, 2.73724, 2.65911, 
2.56977, 2.06089, 1.82828, 1.70833, 1.78579, 1.98691, 1.96517, 
2.09257, 2.4092, 3.71238, 4.72634, 5.57814, 5.82145, 6.1809, 
6.64726, 7.09455, 8.57005, 8.07705, 10.1044, 10.3424, 11.5079, 
12.0193, 13.1099, 14.8275, 16.4841, 18.612, 21.4213, 24.3222, 
28.0316, 32.4541, 38.1156, 44.9552, 52.3449, 59.1796, 67.1304, 
79.3504, 88.5658, 92.2676, 91.1865, 79.2408, 68.7341, 60.2848, 
50.3183, 39.689, 32.3583, 26.7832, 23.0962, 20.8507, 19.1479, 
17.8097, 16.5719, 15.4954, 14.4205, 13.3992, 12.4706, 11.5902, 
10.7389, 9.93807, 9.17889, 8.44773, 7.77678, 7.22823, 6.75599, 
6.26424, 5.56875, 5.18997, 5.06601, 4.79731, 4.53646, 4.31306, 
4.12065, 3.93941, 3.74887, 3.5508, 3.20498, 2.84676, 2.46083, 
2.26386, 2.07995, 1.92303, 1.77992, 1.66973, 1.55274, 1.46881, 
1.40438, 1.34306, 1.31579, 1.3317, 1.43013, 1.43747, 1.50037, 
1.38656, 1.22004, 1.17315, 1.12698, 1.04887, 1.02165, 0.992953, 
0.949052, 0.921245, 0.916199, 0.891806, 0.871959, 0.851013, 1.80572, 
1.8526, 1.90146, 1.95244, 2.00563, 2.06118, 2.11923, 2.17993, 
2.24345, 2.30996, 2.37966, 2.45275, 2.52943, 2.60996, 2.69464, 
2.78371, 2.8775, 2.97638, 3.08074, 3.191, 3.30764, 3.36945, 2.67207, 
2.29191, 1.89718, 2.016, 1.7388, 1.65556, 1.5732, 1.70789, 1.94209, 
1.91902, 2.05825, 2.25898, 2.54786, 3.25132, 4.97359, 5.67198, 
6.03993, 6.54437, 7.0773, 8.60623, 8.36275, 10.5956, 11.537, 
12.5329, 13.6725, 13.2042, 14.7004, 16.5392, 18.351, 20.9179, 
23.7059, 27.1042, 31.0227, 35.7588, 40.8407, 45.6648, 50.4324, 
57.5708, 65.9618, 70.4249, 72.8762, 72.2387, 63.7494, 55.7685, 
50.3198, 44.2662, 36.5835, 30.1507, 25.1289, 21.2586, 18.582, 
16.6989, 15.3931, 14.5042, 13.7234, 12.9808, 12.276, 11.5706, 
10.8825, 10.1823, 9.50888, 8.90597, 8.31584, 7.77623, 7.29536, 
6.87191, 6.43952, 5.76546, 5.43538, 5.22217, 4.91233, 4.65686, 
4.42275, 4.18541, 4.00228, 3.80393, 3.39365, 2.97941, 2.64894, 
2.44547, 2.27217, 2.10481, 1.94405, 1.79416, 1.68171, 1.57049, 
1.46003, 1.39249, 1.30571, 1.24295, 1.20225, 1.2171, 1.26474, 
1.314, 1.35715, 1.34981, 1.21008, 1.11288, 1.01982, 1.01632, 
0.951747, 0.897041, 0.867563, 0.883221, 0.856144, 0.822204, 0.800708, 
1.80858, 1.85522, 1.90382, 1.95447, 2.00729, 2.06242, 2.11997, 
2.18011, 2.24298, 2.30877, 2.37764, 2.44979, 2.52543, 2.60479, 
2.68815, 2.77575, 2.8679, 2.96495, 3.06726, 3.17526, 3.2894, 
3.41017, 2.69228, 2.41123, 2.11359, 2.04045, 1.85195, 1.62513, 
1.44728, 1.67316, 1.86778, 1.96509, 2.25574, 2.52395, 2.69759, 
2.74463, 4.38907, 5.51026, 5.98258, 6.51326, 7.09593, 8.24209, 
8.37319, 10.516, 11.366, 12.3265, 13.4151, 13.1882, 14.4185, 
15.8334, 17.7813, 20.315, 23.0251, 26.0202, 29.4036, 32.9459, 
36.3375, 39.6539, 44.0735, 49.9915, 55.0791, 57.3107, 59.401, 
58.8886, 52.6, 46.4266, 42.193, 38.6221, 33.6114, 28.1559, 23.6858, 
20.1418, 17.3325, 15.2212, 13.7621, 12.7867, 12.0741, 11.526, 
11.0575, 10.5733, 10.0473, 9.49906, 8.94154, 8.43988, 7.97344, 
7.51011, 7.12907, 6.79458, 6.41608, 6.00989, 5.68188, 5.37209, 
5.05616, 4.79808, 4.54289, 4.29989, 4.10296, 3.87703, 3.45064, 
2.94934, 2.61358, 2.4717, 2.3195, 2.14509, 1.9908, 1.84357, 1.70479, 
1.60185, 1.5074, 1.42995, 1.33263, 1.24405, 1.18984, 1.14997, 
1.14179, 1.1475, 1.18374, 1.2671, 1.23713, 1.1132, 1.00457, 1.01707, 
0.913164, 0.860824, 0.84085, 0.852008, 0.828681, 0.794502, 0.772089, 
1.80899, 1.8552, 1.9033, 1.95341, 2.00562, 2.06007, 2.11686, 
2.17616, 2.2381, 2.30285, 2.37059, 2.44149, 2.51576, 2.59361, 
2.67532, 2.76113, 2.85132, 2.94625, 3.04627, 3.15178, 3.26324, 
2.8972, 2.40826, 2.27288, 2.08151, 1.67791, 1.5701, 1.38071, 
1.44423, 1.67337, 2.07168, 2.21733, 2.29947, 2.86648, 2.72355, 
2.85148, 3.99879, 5.54389, 6.07504, 6.58742, 7.14438, 8.022, 
8.51246, 10.3611, 11.1748, 12.087, 13.11, 13.054, 14.3361, 15.8365, 
17.6194, 19.6871, 22.1118, 24.7943, 27.4084, 29.7969, 32.1004, 
34.9084, 39.0276, 43.5535, 46.5337, 47.6246, 49.3992, 48.9941, 
44.2052, 39.3686, 35.8243, 33.4158, 30.4714, 26.3865, 22.4442, 
19.2263, 16.6141, 14.4997, 12.793, 11.5582, 10.7396, 10.2211, 
9.89959, 9.55015, 9.13979, 8.71043, 8.29117, 7.90977, 7.53332, 
7.16023, 6.83192, 6.54466, 6.22493, 5.9135, 5.64193, 5.38503, 
5.09923, 4.89107, 4.6611, 4.4248, 4.17968, 3.98261, 3.57642, 
3.0332, 2.67313, 2.54419, 2.35865, 2.2014, 2.0204, 1.87458, 1.72616, 
1.62169, 1.53029, 1.44484, 1.35344, 1.26189, 1.19625, 1.14857, 
1.11709, 1.09921, 1.1387, 1.14372, 1.2191, 1.19642, 1.09685, 
0.992625, 0.92255, 0.869683, 0.844424, 0.856871, 0.828678, 0.809064, 
0.761991, 1.80651, 1.8521, 1.89952, 1.94889, 2.00029, 2.05385, 
2.10968, 2.16792, 2.22872, 2.29223, 2.35862, 2.42808, 2.5008, 
2.577, 2.65693, 2.74085, 2.82905, 2.92185, 3.01964, 3.12281, 
3.23184, 2.67044, 2.32241, 1.99139, 1.56629, 1.49839, 1.44797, 
1.57608, 1.59117, 1.75531, 2.36716, 2.6867, 2.94596, 3.29586, 
3.2795, 3.32074, 4.0107, 5.0107, 6.15564, 6.62855, 7.1254, 7.80854, 
8.50838, 9.17718, 9.97126, 10.741, 11.8168, 12.9484, 14.161, 
15.5287, 17.1189, 18.9746, 21.1026, 23.0842, 25.1802, 26.8334, 
28.6016, 31.3812, 34.8727, 38.0055, 39.7156, 40.3459, 41.9113, 
41.4981, 37.7376, 33.86, 30.9266, 28.9441, 27.264, 24.5736, 21.2891, 
18.3843, 15.9853, 13.9517, 12.2395, 10.8743, 9.87452, 9.24492, 
8.89305, 8.5678, 8.236, 7.91124, 7.61931, 7.32057, 7.05421, 6.76814, 
6.51245, 6.25219, 5.95977, 5.6877, 5.4583, 5.24885, 5.00811, 
4.8154, 4.64555, 4.45977, 4.22265, 4.00593, 3.56421, 3.17191, 
2.98003, 2.67174, 2.52748, 2.29, 2.04687, 1.86982, 1.70971, 1.60802, 
1.52689, 1.44854, 1.35476, 1.28746, 1.21215, 1.14919, 1.11393, 
1.10029, 1.07782, 1.08046, 1.11755, 1.21062, 1.12137, 1.04078, 
0.959363, 0.914912, 0.868903, 0.8735, 0.874459, 0.818642, 0.763994, 
1.80101, 1.84584, 1.89245, 1.94093, 1.99139, 2.04393, 2.09868, 
2.15576, 2.21532, 2.27752, 2.34252, 2.41051, 2.48169, 2.55627, 
2.63453, 2.71671, 2.80312, 2.8941, 2.99003, 3.09134, 2.59871, 
2.48618, 1.98895, 1.99072, 1.57549, 1.54458, 2.28854, 2.38942, 
1.78398, 1.73849, 2.27429, 2.98059, 3.41784, 3.69535, 3.99227, 
4.08317, 4.80132, 5.69185, 6.20536, 6.59763, 7.15865, 7.67566, 
8.27429, 9.03045, 9.77386, 10.6353, 11.516, 12.6413, 13.7567, 
15.0544, 16.4534, 18.1661, 19.8603, 21.305, 22.8559, 24.2293, 
25.8619, 28.4721, 31.2417, 33.2739, 34.2498, 34.7626, 36.1971, 
35.7665, 32.734, 29.5922, 27.1624, 25.3469, 24.2338, 22.6688, 
20.1879, 17.5917, 15.2718, 13.4258, 11.8801, 10.5353, 9.45508, 
8.67327, 8.1985, 7.73575, 7.42678, 7.18697, 6.95353, 6.73567, 
6.52254, 6.32807, 6.14689, 5.93837, 5.69363, 5.45512, 5.23884, 
5.0302, 4.82139, 4.66163, 4.51448, 4.34737, 4.20104, 4.0004, 
3.74065, 3.5156, 3.22904, 2.90901, 2.65007, 2.27424, 2.06357, 
1.90029, 1.75927, 1.61475, 1.52045, 1.43668, 1.33218, 1.25165, 
1.20499, 1.14976, 1.11276, 1.07819, 1.0516, 1.04609, 1.07273, 
1.1352, 1.20353, 1.13469, 1.03295, 1.00409, 0.926457, 0.913435, 
0.923293, 0.844066, 0.792651, 1.79267, 1.83667, 1.88239, 1.92993, 
1.97941, 2.03091, 2.08456, 2.14049, 2.19885, 2.2598, 2.3235, 
2.39017, 2.45999, 2.5332, 2.61007, 2.69087, 2.77592, 2.86558, 
2.96023, 2.37175, 2.21124, 1.97201, 1.70371, 1.55796, 1.67192, 
1.72099, 2.24789, 2.42032, 2.55434, 1.81953, 2.10314, 2.79197, 
3.59591, 4.05644, 4.50001, 4.81596, 5.37875, 5.85678, 6.24148, 
6.59038, 7.02049, 7.59247, 8.25574, 8.84218, 9.57679, 10.4448, 
11.318, 12.2904, 13.4027, 14.571, 15.8743, 17.1956, 18.5658, 
19.5764, 20.7693, 22.0337, 23.7481, 25.9776, 27.9987, 29.3343, 
29.8075, 30.3598, 31.6468, 31.2385, 28.732, 26.1276, 24.1691, 
22.611, 21.5814, 20.6699, 19.0758, 16.8138, 14.7305, 13.0163, 
11.5931, 10.3457, 9.25033, 8.37065, 7.73493, 7.13955, 6.78715, 
6.53963, 6.34059, 6.16544, 6.00069, 5.85843, 5.72748, 5.56896, 
5.38993, 5.20917, 5.02369, 4.84055, 4.65016, 4.48653, 4.34552, 
4.15127, 4.05278, 3.88491, 3.72203, 3.55115, 3.19571, 2.96453, 
2.75869, 2.50787, 2.29016, 2.06734, 1.87258, 1.71055, 1.58757, 
1.48966, 1.37688, 1.27924, 1.22544, 1.16896, 1.10676, 1.06916, 
1.04299, 1.01561, 1.02556, 1.05284, 1.09386, 1.12646, 1.11966, 
1.09671, 1.02792, 0.963453, 0.973531, 0.878352, 0.834882, 1.78194, 
1.8251, 1.86995, 1.91659, 1.96512, 2.01564, 2.06829, 2.1232, 
2.18051, 2.2404, 2.30305, 2.36866, 2.43745, 2.50966, 2.58555, 
2.66546, 2.5232, 2.51986, 2.91847, 2.66358, 2.03311, 1.99872, 
2.00999, 1.78102, 1.96169, 1.79172, 1.94515, 2.57005, 2.78632, 
2.5775, 2.371, 2.58917, 3.11137, 4.28899, 4.63352, 5.08433, 5.5409, 
5.83596, 6.21737, 6.58639, 7.05494, 7.53976, 8.07724, 8.78083, 
9.47942, 10.2024, 10.9946, 11.9495, 12.9352, 14.053, 15.1169, 
16.1113, 17.0514, 17.9586, 19.0303, 20.2949, 22.0092, 23.7552, 
25.1297, 26.0115, 26.2137, 26.7857, 27.9283, 27.5756, 25.4828, 
23.313, 21.7634, 20.3719, 19.341, 18.7073, 17.7528, 16.0707, 
14.229, 12.6451, 11.3113, 10.1634, 9.15138, 8.24277, 7.48196, 
6.84614, 6.38016, 6.03088, 5.80472, 5.62169, 5.51034, 5.4077, 
5.31027, 5.18864, 5.05129, 4.91848, 4.78099, 4.63037, 4.47298, 
4.3234, 4.1811, 3.98011, 3.88537, 3.73613, 3.60167, 3.45949, 
3.24735, 3.03146, 2.82024, 2.65029, 2.40734, 2.10787, 1.89937, 
1.74331, 1.59826, 1.53652, 1.4754, 1.35889, 1.27356, 1.20211, 
1.14361, 1.07708, 1.04101, 1.01194, 0.991129, 0.995754, 0.992238, 
1.00415, 1.00401, 1.01641, 1.06476, 1.02633, 0.955554, 0.909405, 
0.880914, 1.76947, 1.81186, 1.85592, 1.90175, 1.94946, 1.99917, 
2.051, 2.10509, 2.16161, 2.22072, 2.28263, 2.34754, 2.41568, 
2.48731, 2.5627, 2.64218, 2.72609, 2.81479, 2.90869, 3.00825, 
2.60911, 2.50085, 2.2207, 2.15846, 2.37683, 2.47114, 2.19964, 
2.88012, 2.86, 3.17696, 2.75794, 2.83489, 3.21286, 4.11266, 4.71223, 
5.24305, 5.46521, 5.84183, 6.17361, 6.5985, 6.9829, 7.55206, 
8.02798, 8.6368, 9.30127, 9.99012, 10.7645, 11.6152, 12.5036, 
13.4099, 14.2358, 14.9712, 15.7178, 16.591, 17.5829, 18.8938, 
20.3879, 21.6958, 22.6603, 23.2201, 23.2998, 23.9308, 24.9194, 
24.5875, 22.8875, 21.0932, 19.7004, 18.4546, 17.428, 16.8959, 
16.3239, 15.2224, 13.7314, 12.2508, 10.9858, 9.9147, 8.95996, 
8.08499, 7.32938, 6.69163, 6.11749, 5.69035, 5.38999, 5.20128, 
5.0879, 5.00352, 4.92083, 4.81655, 4.70453, 4.59834, 4.49454, 
4.38497, 4.27329, 4.15724, 4.03961, 3.82737, 3.7683, 3.63215, 
3.49321, 3.34512, 3.15602, 3.06202, 2.90558, 2.68573, 2.40351, 
2.1925, 1.90542, 1.75529, 1.65171, 1.56698, 1.49709, 1.41794, 
1.3418, 1.27179, 1.201, 1.13392, 1.07344, 1.03937, 0.999182, 
0.963976, 0.948779, 0.935059, 0.93052, 0.935798, 0.953968, 0.992699, 
0.998206, 0.972279, 0.946727, 1.75599, 1.79773, 1.84115, 1.88634, 
1.93342, 1.81941, 2.03378, 2.08732, 2.14333, 2.20198, 2.26348, 
2.32806, 2.39594, 2.46738, 2.54267, 2.62212, 2.70609, 2.79492, 
2.889, 2.98875, 3.09464, 3.14997, 2.32455, 2.37702, 2.72784, 
2.76039, 2.87456, 3.17794, 3.33327, 3.36212, 3.09841, 3.51692, 
3.09038, 4.0051, 4.74342, 5.19096, 5.46765, 5.77273, 6.13714, 
6.52771, 6.9175, 7.45128, 7.97265, 8.4959, 9.08178, 9.77439, 
10.4888, 11.2482, 11.9972, 12.67, 13.2925, 13.9593, 14.5812, 
15.4053, 16.4293, 17.6592, 18.9043, 19.8451, 20.5255, 20.8513, 
20.9436, 21.6299, 22.424, 22.0985, 20.6913, 19.2078, 17.9511, 
16.8517, 15.9062, 15.3088, 14.9206, 14.2697, 13.1935, 11.8962, 
10.6654, 9.64045, 8.7402, 7.92727, 7.17337, 6.53649, 5.9695, 
5.51831, 5.15782, 4.91877, 4.75945, 4.64936, 4.56813, 4.48697, 
4.39199, 4.29034, 4.20154, 4.11608, 4.03267, 3.9521, 3.83723, 
3.66999, 3.60656, 3.53361, 3.40387, 3.25706, 3.11852, 2.99958, 
2.74197, 2.50769, 2.36884, 2.23146, 1.96545, 1.82378, 1.70728, 
1.6047, 1.51963, 1.45452, 1.39438, 1.33177, 1.26029, 1.20517, 
1.14028, 1.08976, 1.04795, 1.00178, 0.959181, 0.932901, 0.915336, 
0.905203, 0.901614, 0.904635, 0.925087, 0.926728, 0.922472, 1.74225, 
1.78351, 1.82647, 1.87122, 1.9179, 1.96663, 2.01756, 2.07083, 
2.12662, 2.18511, 2.24651, 2.31106, 2.37898, 2.45052, 2.52596, 
2.59358, 2.68978, 2.77882, 2.87306, 2.97287, 3.07865, 3.19079, 
2.61892, 2.65467, 2.88604, 3.14338, 3.29028, 3.44992, 3.48372, 
3.38605, 3.70634, 3.46586, 3.59293, 4.35551, 4.57132, 4.82419, 
5.40794, 5.71428, 6.0276, 6.40942, 6.85233, 7.29321, 7.81474, 
8.31144, 8.8857, 9.53524, 10.216, 10.8391, 11.3995, 11.9029, 
12.449, 13.0252, 13.6804, 14.5421, 15.443, 16.5115, 17.5023, 
18.2428, 18.7328, 18.8532, 19.0586, 19.7069, 20.3004, 19.9969, 
18.8305, 17.482, 16.3895, 15.4861, 14.6073, 13.941, 13.6394, 
13.2982, 12.5548, 11.5012, 10.3718, 9.36912, 8.52705, 7.77357, 
7.06135, 6.43652, 5.90032, 5.44827, 5.06083, 4.7701, 4.52782, 
4.36264, 4.2507, 4.1675, 4.09075, 4.01366, 3.9316, 3.85961, 3.78656, 
3.71857, 3.66245, 3.5285, 3.48101, 3.4212, 3.31776, 3.1827, 3.02121, 
2.80807, 2.48672, 2.29521, 2.20949, 2.06429, 1.87998, 1.7355, 
1.64067, 1.574, 1.51837, 1.46392, 1.41422, 1.36529, 1.31088, 
1.25489, 1.19759, 1.1429, 1.09669, 1.05514, 1.00793, 0.965632, 
0.935241, 0.913775, 0.894373, 0.888474, 0.85255, 0.863001, 0.886546, 
1.72894, 1.76991, 1.81259, 1.85712, 1.90361, 1.9522, 2.00304, 
2.05627, 2.11208, 2.17064, 2.23217, 2.29687, 2.36499, 2.43675, 
2.5124, 2.59222, 2.67651, 2.76554, 2.85961, 2.95902, 3.06408, 
3.17511, 3.23851, 2.87902, 3.42119, 3.3168, 3.30289, 3.41659, 
3.54752, 3.67205, 3.7981, 3.94693, 3.97649, 3.413, 3.81401, 4.23738, 
4.77679, 5.31419, 5.87904, 6.29643, 6.7497, 7.14172, 7.65148, 
8.14435, 8.69297, 9.27499, 9.83023, 10.3075, 10.7417, 11.2168, 
11.8204, 12.4023, 13.0153, 13.7522, 14.5317, 15.4333, 16.1837, 
16.7857, 17.1294, 17.1898, 17.4072, 18.0073, 18.4755, 18.1897, 
17.1768, 15.9828, 15.0539, 14.3066, 13.5348, 12.8381, 12.5079, 
12.3145, 11.8491, 11.0309, 10.0713, 9.0774, 8.31347, 7.59294, 
6.96126, 6.37446, 5.86144, 5.4166, 5.00833, 4.66149, 4.37578, 
4.15702, 3.99873, 3.87491, 3.80402, 3.75333, 3.67967, 3.62019, 
3.56091, 3.49962, 3.44243, 3.37265, 3.29652, 3.25986, 3.19474, 
3.08007, 2.95493, 2.79846, 2.53697, 2.46699, 2.31296, 1.99903, 
1.76018, 1.66029, 1.57013, 1.49383, 1.43336, 1.3944, 1.36956, 
1.3469, 1.31429, 1.27259, 1.23142, 1.1836, 1.13249, 1.09121, 
1.05316, 1.0061, 0.970709, 0.940983, 0.918538, 0.896959, 0.872675, 
0.856232, 0.868268, 1.71662, 1.75747, 1.80007, 1.84455, 1.89104, 
1.93968, 1.99061, 2.04397, 2.09993, 2.15869, 2.22042, 2.28533, 
2.35363, 2.42553, 2.50124, 2.581, 2.66505, 2.75363, 2.84697, 
2.9453, 3.04887, 3.15795, 3.27283, 3.39382, 3.52131, 3.65574, 
3.79761, 3.94756, 4.0533, 4.2572, 4.09837, 4.01525, 3.52841, 
3.82725, 3.9755, 4.05534, 4.2958, 4.93904, 5.72921, 6.2763, 6.64831, 
7.03713, 7.473, 7.97419, 8.48195, 8.96803, 9.37745, 9.7442, 10.1133, 
10.5084, 10.961, 11.7045, 12.2793, 12.946, 13.6112, 14.3652, 
14.9639, 15.4327, 15.6696, 15.7352, 15.9182, 16.5009, 16.8936, 
16.64, 15.7771, 14.6822, 13.8602, 13.1643, 12.4755, 11.8587, 
11.4886, 11.3353, 11.1071, 10.5121, 9.63253, 8.81703, 8.05261, 
7.41593, 6.83599, 6.30041, 5.78711, 5.30644, 4.92749, 4.60565, 
4.34004, 4.03803, 3.8276, 3.66923, 3.55848, 3.49971, 3.45749, 
3.39735, 3.35398, 3.31389, 3.25844, 3.20078, 3.15283, 3.10105, 
3.05603, 2.9729, 2.86991, 2.76012, 2.65798, 2.33328, 1.97193, 
2.05837, 1.88764, 1.68021, 1.54364, 1.47338, 1.38074, 1.32963, 
1.30339, 1.26854, 1.2447, 1.23198, 1.2146, 1.18437, 1.14937, 
1.1114, 1.07875, 1.04263, 0.997364, 0.965588, 0.941336, 0.915976, 
0.895184, 0.874124, 0.875992, 1.70569, 1.74655, 1.78922, 1.8338, 
1.88042, 1.92921, 1.98032, 2.03388, 2.09004, 2.14897, 2.21085, 
2.27585, 2.34416, 2.41594, 2.49137, 2.57064, 2.65395, 2.74148, 
2.83343, 2.92997, 3.03134, 3.13777, 3.24956, 3.36706, 3.49068, 
3.62094, 3.75842, 3.90383, 4.05791, 4.22152, 4.39549, 4.03976, 
3.72901, 4.14396, 4.28634, 4.09578, 4.0271, 4.7494, 5.519, 5.86612, 
6.36776, 6.78882, 7.29669, 7.79956, 8.22188, 8.56815, 8.89297, 
9.15717, 9.54147, 9.95645, 10.3954, 10.9585, 11.5788, 12.12, 
12.8216, 13.4488, 13.9539, 14.2889, 14.4277, 14.4781, 14.7658, 
15.2351, 15.5137, 15.2821, 14.5892, 13.7135, 12.9281, 12.2941, 
11.7024, 11.1309, 10.6978, 10.4875, 10.3377, 9.97844, 9.38175, 
8.64292, 7.91511, 7.26472, 6.6992, 6.20268, 5.73574, 5.32914, 
4.96323, 4.60936, 4.2977, 4.0037, 3.76315, 3.56054, 3.40892, 
3.3148, 3.2441, 3.19106, 3.16727, 3.13262, 3.0843, 3.02945, 2.99006, 
2.91628, 2.8966, 2.83504, 2.76134, 2.65291, 2.43971, 2.03724, 
1.84517, 1.78113, 1.74061, 1.69772, 1.63247, 1.57686, 1.43339, 
1.35836, 1.26928, 1.18493, 1.16439, 1.15787, 1.14229, 1.13074, 
1.11652, 1.09975, 1.07818, 1.05781, 1.02282, 0.948135, 0.955507, 
0.932585, 0.916255, 0.894747, 0.88804, 1.69633, 1.73733, 1.77127, 
1.2866, 1.60999, 1.92067, 1.97194, 2.02565, 2.08192, 2.1409, 
2.20273, 2.26756, 2.33554, 2.40681, 2.48152, 2.55979, 2.64179, 
2.72769, 2.81766, 2.91187, 3.01054, 3.11395, 3.22245, 3.33643, 
3.45638, 3.58286, 3.71651, 3.85797, 4.00794, 4.16706, 4.33591, 
4.00599, 4.70466, 4.72925, 4.51239, 4.44894, 4.44013, 4.41848, 
5.01572, 5.64532, 5.47447, 6.54694, 7.0813, 7.55544, 7.88022, 
8.15541, 8.42401, 8.70483, 9.04026, 9.33566, 9.762, 10.289, 10.8735, 
11.4816, 12.0587, 12.5913, 13.0036, 13.2531, 13.3485, 13.398, 
13.6976, 14.098, 14.2991, 14.0915, 13.4966, 12.7472, 12.0551, 
11.4687, 10.96, 10.4555, 10.0125, 9.74176, 9.60044, 9.40238, 
8.96817, 8.3842, 7.73607, 7.11614, 6.56125, 6.08654, 5.66207, 
5.27256, 4.90806, 4.55668, 4.24563, 3.98894, 3.73776, 3.52364, 
3.3398, 3.18898, 3.07179, 3.01156, 2.98853, 2.94954, 2.90988, 
2.87046, 2.84032, 2.81535, 2.71949, 2.70927, 2.64642, 2.57177, 
2.41506, 2.16546, 2.03354, 1.91726, 1.78639, 1.79067, 1.74455, 
1.63626, 1.48683, 1.41912, 1.28556, 1.18369, 1.13024, 1.07336, 
1.05264, 1.0393, 1.04025, 1.03903, 1.03594, 1.02937, 1.01811, 
0.996822, 0.934355, 0.91028, 0.93146, 0.914592, 0.908888, 1.68857, 
1.72973, 1.77272, 1.44349, 1.35564, 1.91366, 1.965, 2.0187, 2.07488, 
2.13365, 2.19514, 2.25945, 2.3267, 2.39702, 2.47052, 2.5473, 
2.62752, 2.71134, 2.79895, 2.89055, 2.9864, 3.08682, 3.19222, 
3.30304, 3.4198, 3.54305, 3.67335, 3.81124, 3.95721, 4.11164, 
4.06249, 4.44296, 4.62874, 4.82011, 5.02201, 4.90904, 4.82202, 
4.5083, 4.13601, 4.64582, 5.02957, 6.40182, 6.82587, 7.17307, 
7.45739, 7.74443, 7.99481, 8.26811, 8.48299, 8.86923, 9.21732, 
9.78546, 10.267, 10.8747, 11.3363, 11.7229, 12.0893, 12.2493, 
12.3598, 12.4428, 12.7223, 13.0717, 13.2317, 13.0414, 12.5367, 
11.875, 11.2282, 10.7279, 10.3014, 9.86503, 9.4186, 9.09758, 
8.93506, 8.81111, 8.54946, 8.09797, 7.54829, 6.97513, 6.4368, 
5.97357, 5.57177, 5.20758, 4.8474, 4.5113, 4.20703, 3.93453, 
3.71381, 3.51344, 3.32154, 3.13578, 2.96923, 2.87373, 2.82255, 
2.77778, 2.7429, 2.71929, 2.70694, 2.68859, 2.61985, 2.56395, 
2.52738, 2.47099, 2.41523, 2.28545, 2.23607, 2.17946, 1.89365, 
1.85348, 1.84254, 1.68849, 1.56519, 1.60713, 1.26898, 1.14658, 
1.0586, 1.04165, 1.03045, 0.99993, 0.94749, 0.952623, 0.958647, 
0.958983, 0.960428, 0.959448, 0.947554, 0.876765, 0.887982, 0.920518, 
0.905207, 1.68223, 1.72353, 1.76663, 1.81162, 1.83549, 1.90764, 
1.95885, 2.01232, 2.06813, 2.12638, 2.18716, 2.25056, 2.31669, 
2.38565, 2.45754, 2.53248, 2.61062, 2.69216, 2.77732, 2.86636, 
2.95958, 3.05733, 3.16005, 3.26819, 3.38222, 3.50258, 3.6297, 
3.76392, 3.9055, 4.05463, 3.85665, 4.3763, 4.54952, 4.73187, 
4.92446, 5.12874, 4.98026, 4.39337, 4.94631, 5.10156, 5.00314, 
5.79814, 6.13785, 6.41055, 6.98682, 7.32819, 7.56339, 7.86881, 
8.16753, 8.3799, 8.83653, 9.33305, 9.80551, 10.2873, 10.6671, 
10.9881, 11.2422, 11.3596, 11.4209, 11.5889, 11.8602, 12.1624, 
12.2873, 12.1132, 11.6829, 11.1068, 10.5366, 10.0714, 9.69752, 
9.337, 8.93094, 8.55823, 8.35639, 8.24215, 8.09796, 7.78576, 
7.34275, 6.83862, 6.33785, 5.87445, 5.48141, 5.14628, 4.84001, 
4.47895, 4.17804, 3.90264, 3.68683, 3.50536, 3.30934, 3.12285, 
2.95557, 2.82013, 2.71029, 2.63791, 2.59409, 2.56993, 2.56606, 
2.5489, 2.50428, 2.42786, 2.41634, 2.3783, 2.33309, 2.27288, 
2.22529, 2.13261, 2.05297, 1.8948, 1.87264, 1.70405, 1.63669, 
1.67685, 1.44336, 1.20436, 1.06049, 1.03345, 1.06326, 0.992476, 
0.935026, 0.909664, 0.891478, 0.881355, 0.87591, 0.883073, 0.881393, 
0.841502, 0.810979, 0.855324, 0.88968, 1.67699, 1.71834, 1.76143, 
1.80635, 1.85317, 1.90196, 1.95279, 2.00574, 2.06088, 2.11827, 
2.17801, 2.24017, 2.30484, 2.37215, 2.4422, 2.51515, 2.59117, 
2.67049, 2.75338, 2.84014, 2.9311, 3.02661, 3.12706, 3.23285, 
3.34432, 3.46179, 3.58546, 3.7155, 3.85205, 3.98412, 4.14522, 
4.3025, 4.46781, 4.64219, 4.82691, 5.02321, 5.23187, 5.22427, 
5.1838, 4.63913, 4.16397, 5.1867, 5.99076, 6.42505, 6.77433, 
6.99021, 7.21656, 7.42685, 7.7617, 7.99338, 8.52173, 8.93759, 
9.37153, 9.76752, 10.0784, 10.331, 10.5331, 10.6039, 10.6587, 
10.8228, 11.086, 11.3497, 11.4457, 11.2869, 10.9086, 10.4137, 
9.92719, 9.51096, 9.1723, 8.83282, 8.47344, 8.12159, 7.83469, 
7.72401, 7.63669, 7.44769, 7.11216, 6.69083, 6.22851, 5.78591, 
5.3958, 5.0504, 4.74617, 4.47469, 4.16112, 3.9039, 3.67271, 3.4834, 
3.2933, 3.12048, 2.95086, 2.78838, 2.64961, 2.55244, 2.4807, 
2.44397, 2.44427, 2.43022, 2.39265, 2.33222, 2.28613, 2.2778, 
2.24778, 2.19875, 2.15244, 2.11249, 2.00335, 1.88276, 1.89738, 
1.75536, 1.66652, 1.74669, 1.38461, 1.17571, 1.11656, 1.12151, 
1.11223, 1.02157, 0.957644, 0.911685, 0.871547, 0.831753, 0.814318, 
0.811564, 0.811432, 0.814495, 0.761748, 0.7673, 0.837728, 1.67244, 
1.71369, 1.75661, 1.80126, 1.8477, 1.89598, 1.94616, 1.99831, 
2.05247, 2.10873, 2.16716, 2.22784, 2.29089, 2.35643, 2.42461, 
2.49563, 2.56969, 2.64706, 2.728, 2.58134, 2.90193, 2.99551, 
3.0939, 3.19736, 3.3061, 3.42027, 3.53995, 3.6552, 3.79617, 3.93308, 
4.07637, 4.22675, 4.38523, 4.55294, 4.73092, 4.91969, 5.11882, 
5.32657, 5.28918, 5.20574, 4.03358, 4.7715, 5.5182, 6.04824, 
6.48128, 6.65288, 6.86823, 7.05776, 7.3312, 7.67251, 8.19978, 
8.61752, 8.96253, 9.27598, 9.5275, 9.7423, 9.88138, 9.93116, 
9.9967, 10.1563, 10.3942, 10.6169, 10.6923, 10.5477, 10.2119, 
9.78152, 9.36604, 8.99833, 8.70293, 8.37676, 8.02963, 7.68555, 
7.39461, 7.25786, 7.20324, 7.09498, 6.8572, 6.51941, 6.11842, 
5.66679, 5.28765, 4.95193, 4.64183, 4.3931, 4.16332, 3.90988, 
3.67337, 3.46064, 3.27547, 3.10759, 2.94677, 2.78093, 2.63076, 
2.50696, 2.41256, 2.34849, 2.32984, 2.30781, 2.2682, 2.23441, 
2.18724, 2.16723, 2.15208, 2.11565, 2.07119, 2.02335, 1.95174, 
1.92465, 1.90675, 1.80145, 1.72919, 1.75461, 1.58088, 1.39527, 
1.2772, 1.23646, 1.14314, 1.07714, 0.993183, 0.91127, 0.855293, 
0.818364, 0.792009, 0.780121, 0.770873, 0.763072, 0.753251, 0.706811, 
0.714791, 1.66811, 1.70908, 1.75162, 1.79578, 1.8416, 1.88913, 
1.93842, 1.98952, 2.0425, 2.09744, 2.15441, 2.21353, 2.27494, 
2.33879, 2.40527, 2.47459, 2.54699, 2.62272, 2.70206, 2.78529, 
2.86378, 2.96438, 3.0606, 3.16144, 3.267, 3.37733, 3.47254, 3.61255, 
3.73782, 3.86875, 4.00604, 4.1506, 4.30344, 4.4654, 4.63685, 
4.81724, 5.00492, 5.19713, 5.39037, 5.28511, 4.82222, 4.41785, 
4.97022, 5.52407, 6.09289, 6.31706, 6.45993, 6.66441, 7.00151, 
7.34666, 7.89736, 8.24885, 8.55596, 8.78313, 9.00689, 9.17635, 
9.27541, 9.31571, 9.38381, 9.53863, 9.76595, 9.95824, 10.0221, 
9.88482, 9.58881, 9.21554, 8.83857, 8.50754, 8.24743, 7.96333, 
7.63379, 7.31367, 7.01714, 6.82948, 6.79709, 6.74653, 6.58334, 
6.30792, 5.92116, 5.50769, 5.11699, 4.80398, 4.57896, 4.33721, 
4.1117, 3.88745, 3.66358, 3.44798, 3.26177, 3.09469, 2.9258, 
2.77486, 2.6304, 2.49958, 2.38624, 2.30299, 2.26724, 2.20402, 
2.16093, 2.13033, 2.08323, 2.05453, 2.06518, 2.03305, 1.9989, 
1.92912, 1.91011, 1.88752, 1.84583, 1.79453, 1.75361, 1.7288, 
1.63334, 1.51088, 1.38811, 1.27248, 1.20459, 1.0356, 0.970686, 
0.910273, 0.861405, 0.830035, 0.803881, 0.783064, 0.760223, 0.747432, 
0.72736, 0.719698, 0.710489, 1.66353, 1.70403, 1.74598, 1.78944, 
1.83443, 1.88101, 1.92923, 1.97914, 2.03082, 2.08437, 2.1399, 
2.19754, 2.25745, 2.31982, 2.38485, 2.45277, 2.5238, 2.59817, 
2.67611, 2.75779, 2.75802, 2.93303, 3.02672, 3.12449, 3.22636, 
3.32538, 3.44274, 3.55768, 3.67766, 3.80338, 3.9357, 4.07549, 
4.22341, 4.37966, 4.54367, 4.71388, 4.88778, 5.06235, 5.2346, 
5.02166, 4.46963, 4.09931, 3.9092, 4.81572, 5.80006, 5.9736, 
6.13433, 6.35247, 6.69207, 7.00541, 7.55238, 7.8888, 7.89407, 
8.07977, 8.46753, 8.64898, 8.72186, 8.75944, 8.82762, 8.98688, 
9.17708, 9.36715, 9.42543, 9.28998, 9.00896, 8.69227, 8.37509, 
8.06985, 7.81577, 7.56437, 7.27329, 6.95037, 6.66926, 6.49515, 
6.43119, 6.3877, 6.29161, 6.10364, 5.6951, 5.38539, 5.03324, 
4.71405, 4.47028, 4.27557, 4.05589, 3.85056, 3.65198, 3.44255, 
3.2531, 3.0782, 2.91026, 2.75663, 2.62422, 2.50416, 2.3827, 2.28385, 
2.22649, 2.1344, 2.07545, 2.03722, 2.0146, 1.95674, 1.94555, 
1.95084, 1.92069, 1.85112, 1.83167, 1.81883, 1.78664, 1.74329, 
1.70882, 1.66509, 1.59098, 1.52729, 1.411, 1.34119, 1.16943, 
1.08356, 0.972175, 0.90059, 0.87094, 0.835335, 0.813397, 0.791193, 
0.76655, 0.74817, 0.728729, 0.703854, 0.682733, 1.65829, 1.69813, 
1.73933, 1.78191, 1.82593, 1.87144, 1.91849, 1.96717, 2.01757, 
2.06981, 2.12402, 2.18037, 2.23902, 2.30017, 2.36402, 2.43078, 
2.50063, 2.57374, 2.65025, 2.73025, 2.81381, 2.64838, 2.99165, 
2.88212, 3.18375, 3.28537, 3.39108, 3.50136, 3.61685, 3.73833, 
3.86657, 4.00212, 4.14503, 4.29466, 4.44954, 4.60747, 4.76576, 
4.92186, 5.07388, 4.79079, 4.53205, 4.70877, 4.73512, 4.32746, 
5.23417, 5.52224, 5.59742, 5.93544, 6.13316, 6.72535, 7.16915, 
7.51157, 7.52977, 7.65994, 7.79011, 8.07, 8.21728, 8.2552, 8.3135, 
8.43651, 8.65063, 8.83075, 8.87553, 8.75038, 8.4863, 8.19257, 
7.92707, 7.66451, 7.43077, 7.2021, 6.93228, 6.63671, 6.37041, 
6.21057, 6.12456, 6.06682, 6.00495, 5.87288, 5.64238, 5.28814, 
4.96552, 4.6882, 4.45466, 4.21569, 3.99813, 3.80297, 3.6162, 
3.42539, 3.23953, 3.05544, 2.88111, 2.7379, 2.61607, 2.50256, 
2.38658, 2.2836, 2.20373, 2.11189, 2.01911, 1.97036, 1.9412, 
1.90176, 1.824, 1.84862, 1.84172, 1.8132, 1.75379, 1.7542, 1.72584, 
1.69006, 1.63968, 1.59449, 1.56295, 1.50998, 1.44391, 1.39499, 
1.19005, 1.04525, 0.98897, 0.949117, 0.88904, 0.838722, 0.824222, 
0.795159, 0.771282, 0.752914, 0.734872, 0.714664, 0.6927, 1.65208, 
1.69113, 1.73144, 1.77305, 1.81603, 1.86043, 1.90635, 1.95387, 
2.00311, 2.0542, 2.10731, 2.1626, 2.22023, 2.28039, 2.34325, 
2.40895, 2.47763, 2.54937, 2.62424, 2.70223, 2.78334, 2.86756, 
2.7962, 3.03951, 3.13924, 3.23671, 3.33834, 3.44474, 3.55662, 
3.67462, 3.79917, 3.93026, 4.06721, 4.20864, 4.35255, 4.49659, 
4.63854, 4.77682, 4.91077, 5.04086, 5.16839, 5.24541, 4.59804, 
4.0006, 3.61455, 4.8479, 4.34421, 4.56005, 4.95526, 6.3993, 6.83812, 
7.11262, 7.27512, 7.50577, 7.63732, 7.4665, 7.53713, 7.78531, 
7.83382, 8.02555, 8.1943, 8.34257, 8.3864, 8.25916, 8.01775, 
7.73995, 7.4921, 7.28912, 7.07648, 6.8624, 6.62995, 6.3847, 6.13539, 
5.97676, 5.85535, 5.78371, 5.73139, 5.65084, 5.48541, 5.21611, 
4.94309, 4.68173, 4.42438, 4.17081, 3.95121, 3.75707, 3.57262, 
3.39417, 3.22124, 3.04294, 2.86639, 2.72079, 2.60787, 2.49471, 
2.39894, 2.30094, 2.22191, 2.11827, 2.01208, 1.9421, 1.88988, 
1.85421, 1.81083, 1.76326, 1.76195, 1.73843, 1.70931, 1.67438, 
1.66389, 1.63258, 1.59372, 1.55186, 1.52586, 1.47606, 1.42926, 
1.31982, 1.23312, 1.12251, 0.984653, 0.915022, 0.865924, 0.852215, 
0.831064, 0.804657, 0.779781, 0.758904, 0.737298, 0.717579, 0.700093, 
1.64474, 1.68291, 1.72228, 1.7629, 1.80485, 1.84823, 1.89311, 
1.93963, 1.9879, 2.03806, 2.09028, 2.14471, 2.2015, 2.26079, 
2.32268, 2.38726, 2.4546, 2.52471, 2.59759, 2.67321, 2.75152, 
2.83255, 2.91638, 3.00322, 3.09337, 3.18728, 3.28557, 3.38888, 
3.49778, 3.61256, 3.73314, 3.85883, 3.98836, 4.11992, 4.25143, 
4.38096, 4.50713, 4.62941, 4.74817, 4.86453, 4.98005, 5.09656, 
4.80856, 4.8434, 4.00206, 3.27037, 3.34755, 3.18875, 5.00996, 
6.15449, 6.52833, 6.78645, 6.88816, 7.10618, 7.23432, 7.30251, 
7.31361, 7.20428, 7.4659, 7.59977, 7.7602, 7.89672, 7.9239, 7.81396, 
7.59001, 7.31293, 7.07883, 6.92868, 6.74908, 6.54987, 6.3603, 
6.15769, 5.95733, 5.80353, 5.6541, 5.57095, 5.50731, 5.42954, 
5.29355, 5.11653, 4.88088, 4.63092, 4.37572, 4.13322, 3.9218, 
3.72543, 3.52372, 3.36065, 3.19683, 3.03306, 2.89117, 2.72031, 
2.59507, 2.48822, 2.39501, 2.30889, 2.22146, 2.12276, 2.02361, 
1.9415, 1.86934, 1.81442, 1.73697, 1.65401, 1.68935, 1.66361, 
1.64144, 1.61657, 1.59513, 1.57102, 1.5457, 1.51804, 1.4802, 
1.41339, 1.35985, 1.30292, 1.22931, 1.08478, 0.985593, 0.991838, 
0.884716, 0.852807, 0.835923, 0.824648, 0.798571, 0.772159, 0.744665, 
0.722242, 0.700515, 1.63623, 1.67351, 1.71197, 1.75167, 1.79271, 
1.83518, 1.87921, 1.9249, 1.9724, 2.02182, 2.07332, 2.127, 2.18299, 
2.24137, 2.30217, 2.36543, 2.43114, 2.49929, 2.56984, 2.64277, 
2.71809, 2.7959, 2.87641, 2.95996, 3.047, 3.13807, 3.23373, 3.33446, 
3.44051, 3.55171, 3.6674, 3.78636, 3.90696, 4.0274, 4.14596, 
4.26146, 4.37342, 4.48218, 4.58869, 4.69426, 4.80039, 4.90881, 
5.0218, 4.75167, 3.79043, 3.23908, 2.64034, 3.13512, 5.01867, 
5.91855, 6.18195, 6.47953, 6.55961, 6.76882, 6.86889, 6.8948, 
6.86877, 6.9816, 6.91458, 7.00631, 7.36596, 7.48146, 7.49547, 
7.38845, 7.20956, 6.94018, 6.68869, 6.53239, 6.43452, 6.27737, 
6.11498, 5.94991, 5.78202, 5.63607, 5.50666, 5.41249, 5.34042, 
5.22755, 5.10841, 4.96638, 4.78109, 4.56579, 4.32237, 4.0875, 
3.87884, 3.67541, 3.49658, 3.31858, 3.16229, 3.01191, 2.86776, 
2.73492, 2.60954, 2.48357, 2.38413, 2.31117, 2.25831, 2.11848, 
2.04051, 1.95707, 1.88133, 1.80881, 1.73286, 1.57968, 1.61467, 
1.59525, 1.57005, 1.55078, 1.52875, 1.50911, 1.48877, 1.46445, 
1.43346, 1.38573, 1.3324, 1.29762, 1.25824, 1.15383, 1.08295, 
1.21963, 1.10803, 0.892419, 0.840757, 0.826999, 0.81568, 0.789458, 
0.758632, 0.735406, 0.707765, 1.6267, 1.66315, 1.70078, 1.73968, 
1.77995, 1.82169, 1.86503, 1.91009, 1.95696, 2.00576, 2.05658, 
2.10951, 2.16462, 2.22191, 2.28139, 2.34304, 2.40681, 2.47269, 
2.54067, 2.61079, 2.68317, 2.758, 2.83561, 2.91646, 3.00104, 
3.08986, 3.1833, 3.28152, 3.38433, 3.49106, 3.6006, 3.71148, 
3.82207, 3.93089, 4.03691, 4.13973, 4.23963, 4.33742, 4.43423, 
4.53129, 4.62999, 4.73206, 4.83987, 4.71541, 4.47454, 3.54756, 
3.47839, 3.21661, 4.31612, 5.75912, 5.87394, 6.18099, 6.25704, 
6.45851, 6.52678, 6.51169, 6.50176, 6.58565, 6.72619, 6.65836, 
6.92061, 7.08902, 7.09407, 7.00774, 6.85074, 6.59908, 6.37861, 
6.17054, 6.04597, 5.91993, 5.74279, 5.59016, 5.44538, 5.29299, 
5.16655, 5.08162, 5.03413, 5.00509, 4.94461, 4.82186, 4.65455, 
4.46128, 4.2441, 4.03646, 3.83803, 3.64361, 3.4587, 3.28987, 
3.12338, 2.97551, 2.83555, 2.71475, 2.61467, 2.4814, 2.37441, 
2.30381, 2.2487, 2.12857, 2.07994, 1.98973, 1.89993, 1.8232, 
1.72359, 1.55806, 1.5658, 1.53486, 1.50366, 1.49023, 1.46437, 
1.4447, 1.42801, 1.40763, 1.38791, 1.35956, 1.3212, 1.29625, 
1.24819, 1.21316, 1.19125, 1.20116, 1.17896, 0.949189, 0.827436, 
0.831338, 0.8075, 0.786468, 0.766071, 0.739462, 0.715127, 1.61637, 
1.65209, 1.68904, 1.72729, 1.76695, 1.80813, 1.85092, 1.89543, 
1.94175, 1.98993, 2.04002, 2.09207, 2.14608, 2.20205, 2.25993, 
2.31968, 2.38127, 2.44472, 2.51008, 2.5775, 2.6472, 2.7195, 2.79479, 
2.87353, 2.95618, 3.04306, 3.13425, 3.22953, 3.32823, 3.42935, 
3.53153, 3.63335, 3.7335, 3.83108, 3.92573, 4.01772, 4.10778, 
4.19685, 4.28597, 4.37622, 4.46897, 4.56608, 4.67, 4.61645, 4.57129, 
3.88394, 4.55098, 4.03981, 3.35941, 5.09097, 5.39531, 5.84453, 
5.98215, 6.16381, 6.20041, 6.15755, 6.17413, 6.22987, 6.32604, 
6.51435, 6.40865, 6.45364, 6.70266, 6.62099, 6.51807, 6.28719, 
6.09525, 5.90493, 5.73676, 5.60923, 5.50095, 5.37884, 5.2435, 
5.12296, 5.00821, 4.92578, 4.85377, 4.79064, 4.7289, 4.64171, 
4.51761, 4.36034, 4.18716, 3.98748, 3.79958, 3.61524, 3.39356, 
3.23171, 3.08025, 2.94735, 2.83829, 2.72097, 2.59954, 2.501, 
2.38324, 2.2932, 2.28368, 2.13835, 2.09634, 2.02169, 1.91786, 
1.82004, 1.71272, 1.6038, 1.56038, 1.49045, 1.44526, 1.41811, 
1.40456, 1.3826, 1.37021, 1.3554, 1.3321, 1.31487, 1.28763, 1.22919, 
1.24316, 1.22774, 1.19037, 1.13406, 1.062, 0.974202, 0.890794, 
0.829516, 0.791318, 0.775737, 0.757194, 0.735901, 0.716801, 1.60554, 
1.64068, 1.67708, 1.71483, 1.75401, 1.79472, 1.83703, 1.88102, 
1.92674, 1.9742, 2.02341, 2.07436, 2.12704, 2.18141, 2.23743, 
2.29509, 2.3544, 2.41543, 2.47833, 2.54335, 2.61082, 2.68111, 
2.75463, 2.83173, 2.91268, 2.99753, 3.08602, 3.17753, 3.27109, 
3.3655, 3.45946, 3.55185, 3.64187, 3.72923, 3.81416, 3.89728, 
3.97945, 4.06155, 4.14445, 4.22918, 4.31719, 4.4105, 4.44019, 
4.57345, 4.49935, 4.67287, 4.71871, 4.25807, 3.88692, 4.06644, 
4.9027, 5.41332, 5.70685, 5.87569, 5.89234, 5.81719, 5.83357, 
5.91196, 6.02988, 6.19983, 6.35263, 6.14382, 6.14263, 6.10318, 
6.1947, 6.00275, 5.83082, 5.65892, 5.50517, 5.39024, 5.29079, 
5.18319, 5.074, 4.97505, 4.87183, 4.78472, 4.71398, 4.61783, 
4.54321, 4.46002, 4.40767, 4.25866, 4.15509, 3.93877, 3.75382, 
3.56849, 3.37659, 3.19366, 3.05429, 2.92653, 2.80778, 2.69552, 
2.58453, 2.47664, 2.43474, 2.28521, 2.28738, 2.15814, 2.09679, 
2.03654, 1.94727, 1.81616, 1.71803, 1.59965, 1.54947, 1.47035, 
1.40665, 1.36244, 1.33863, 1.32277, 1.30496, 1.28606, 1.27011, 
1.25182, 1.23676, 1.22003, 1.20616, 1.16592, 1.12215, 1.05038, 
0.979462, 0.914735, 0.856796, 0.820618, 0.792639, 0.765242, 0.747044, 
0.721682, 0.702243, 1.5945, 1.6292, 1.66518, 1.70251, 1.74129, 
1.78156, 1.82337, 1.86675, 1.91174, 1.9583, 2.00641, 2.05604, 
2.10714, 2.15971, 2.21374, 2.26926, 2.32634, 2.38516, 2.44594, 
2.509, 2.57473, 2.64349, 2.71559, 2.79122, 2.87035, 2.95271, 
3.03772, 3.12449, 3.21191, 3.29885, 3.38427, 3.46751, 3.54831, 
3.62689, 3.70381, 3.7798, 3.85564, 3.93205, 4.00983, 4.09006, 
4.17437, 4.26486, 4.25002, 4.43567, 4.52647, 4.65229, 4.82906, 
4.69802, 3.43105, 3.00291, 4.26087, 4.97963, 5.23693, 5.54836, 
5.21266, 5.38701, 5.53428, 5.62834, 5.7646, 5.93092, 6.0711, 
5.97949, 5.85839, 5.82107, 5.75566, 5.77285, 5.59735, 5.43656, 
5.29725, 5.19886, 5.10119, 5.00359, 4.90709, 4.80458, 4.70433, 
4.61355, 4.52989, 4.44861, 4.37353, 4.28615, 4.27597, 4.14924, 
4.06406, 3.87727, 3.70584, 3.51694, 3.33926, 3.17005, 3.02429, 
2.8961, 2.77972, 2.66479, 2.56438, 2.46237, 2.35286, 2.31607, 
2.26154, 2.20256, 2.1436, 2.06112, 1.85875, 1.7564, 1.69323, 
1.5902, 1.54453, 1.45417, 1.37557, 1.33228, 1.28789, 1.26561, 
1.24746, 1.22944, 1.21126, 1.19477, 1.18399, 1.17593, 1.17075, 
1.14092, 1.06154, 1.00556, 0.981042, 0.931414, 0.871682, 0.841897, 
0.795626, 0.763343, 0.745243, 0.693645, 0.685526, 1.58352, 1.61786, 
1.65348, 1.69044, 1.7288, 1.76857, 1.80978, 1.85242, 1.89648, 
1.94193, 1.98872, 2.03681, 2.08619, 2.13686, 2.18889, 2.24236, 
2.29746, 2.3544, 2.41349, 2.47506, 2.53947, 2.60699, 2.67777, 
2.75175, 2.8286, 2.90776, 2.98839, 3.06953, 3.15013, 3.2293, 
3.30644, 3.38134, 3.45419, 3.52551, 3.59596, 3.66621, 3.73687, 
3.80854, 3.88205, 3.95868, 4.0402, 4.12858, 4.10982, 4.32381, 
4.40406, 4.51563, 4.55718, 4.15597, 3.24592, 2.64333, 3.03485, 
3.7375, 4.42463, 4.65564, 4.73463, 5.18158, 5.27623, 5.37279, 
5.51879, 5.67966, 5.80683, 5.78802, 5.59514, 5.5598, 5.49883, 
5.52707, 5.37406, 5.22621, 5.08878, 4.99821, 4.9044, 4.81954, 
4.73191, 4.63625, 4.54351, 4.4455, 4.35962, 4.2941, 4.20098, 
4.11266, 4.12553, 4.02825, 3.94869, 3.79293, 3.63088, 3.45793, 
3.28934, 3.13356, 2.99392, 2.86464, 2.74097, 2.63459, 2.54489, 
2.45971, 2.36306, 2.25295, 2.26907, 2.29024, 2.22283, 2.06982, 
1.77246, 1.61636, 1.56811, 1.54551, 1.50575, 1.41888, 1.32577, 
1.27953, 1.26102, 1.23361, 1.20922, 1.18352, 1.1615, 1.14859, 
1.1382, 1.12526, 1.111, 1.09077, 1.03752, 1.0197, 0.989934, 0.942199, 
0.895481, 0.843395, 0.795713, 0.785799, 0.744845, 0.689638, 0.683486, 
1.57274, 1.60676, 1.64203, 1.67858, 1.71643, 1.75558, 1.79603, 
1.83774, 1.88068, 1.92481, 1.97011, 2.01655, 2.06414, 2.11296, 
2.16312, 2.2148, 2.26824, 2.32372, 2.38153, 2.442, 2.50534, 2.57167, 
2.64091, 2.71277, 2.78665, 2.86177, 2.93723, 3.01212, 3.08566, 
3.1573, 3.22687, 3.29455, 3.36081, 3.42625, 3.49148, 3.557, 3.62329, 
3.69097, 3.761, 3.83483, 3.91428, 4.00098, 3.9972, 4.20566, 4.2718, 
4.37647, 3.9913, 3.1067, 2.65063, 2.77495, 3.05556, 2.88847, 
3.52525, 3.36305, 4.28452, 4.63016, 5.03543, 5.14261, 5.29165, 
5.444, 5.55938, 5.59547, 5.35078, 5.31727, 5.26031, 5.29091, 
5.15642, 5.0167, 4.89896, 4.81102, 4.71348, 4.62859, 4.56505, 
4.51024, 4.47042, 4.2799, 4.18242, 4.13433, 4.01828, 3.93938, 
3.95878, 3.90825, 3.83127, 3.68933, 3.54368, 3.39595, 3.24524, 
3.10229, 2.96343, 2.84235, 2.7305, 2.60496, 2.52386, 2.45363, 
2.38242, 2.28432, 2.22892, 2.23986, 2.16592, 1.86329, 1.68155, 
1.59884, 1.53505, 1.50295, 1.44312, 1.38378, 1.32847, 1.22276, 
1.20513, 1.21733, 1.18468, 1.15542, 1.12886, 1.11483, 1.0988, 
1.08496, 1.08191, 1.05246, 1.03656, 1.01656, 0.971612, 0.908748, 
0.850038, 0.810809, 0.805421, 0.8148, 0.756671, 0.715578, 0.689693, 
1.56219, 1.59587, 1.63072, 1.66676, 1.70397, 1.74235, 1.78185, 
1.82244, 1.86409, 1.90677, 1.95048, 1.99525, 2.04113, 2.08827, 
2.13683, 2.18706, 2.23922, 2.29361, 2.35048, 2.41002, 2.4723, 
2.53722, 2.60447, 2.67353, 2.74367, 2.81404, 2.88379, 2.95222, 
3.01888, 3.08363, 3.14663, 3.20831, 3.26923, 3.32992, 3.39083, 
3.45233, 3.51489, 3.57923, 3.64649, 3.71825, 3.79616, 3.88132, 
3.89922, 4.03952, 4.17445, 4.24879, 3.96787, 3.30857, 3.09579, 
3.83732, 3.48185, 3.03833, 2.95459, 2.99757, 3.51204, 4.26153, 
4.74529, 4.92233, 5.07394, 5.22083, 5.32874, 5.36393, 5.12347, 
5.09166, 5.03834, 5.07031, 4.94266, 4.81688, 4.69774, 4.6073, 
4.53032, 4.52889, 4.44601, 4.3793, 4.30408, 4.23147, 4.16349, 
4.10136, 3.75685, 3.71248, 3.75373, 3.7319, 3.70578, 3.625, 3.46881, 
3.34041, 3.21167, 3.07873, 2.94878, 2.82456, 2.70884, 2.61652, 
2.52356, 2.44746, 2.38834, 2.31086, 2.24109, 2.13985, 2.14825, 
1.82528, 1.77374, 1.71484, 1.63338, 1.54284, 1.43671, 1.34063, 
1.29387, 1.22507, 1.20125, 1.19358, 1.181, 1.14426, 1.11207, 
1.08878, 1.08032, 1.06158, 1.04387, 1.04056, 1.00749, 0.971703, 
0.918153, 0.847537, 0.814999, 0.814882, 0.836128, 0.833594, 0.803103, 
0.743829, 0.700134, 1.55182, 1.58507, 1.6194, 1.65478, 1.6912, 
1.72862, 1.76701, 1.80635, 1.8466, 1.88777, 1.92991, 1.97311, 
2.01747, 2.06319, 2.11048, 2.15961, 2.21085, 2.26442, 2.32048, 
2.37906, 2.44004, 2.50311, 2.56775, 2.63332, 2.69904, 2.76415, 
2.828, 2.89017, 2.95053, 3.00928, 3.06679, 3.1236, 3.18018, 3.23694, 
3.29417, 3.35221, 3.41157, 3.47318, 3.53834, 3.6086, 3.68526, 
3.77954, 3.8075, 3.9418, 4.03558, 3.82484, 3.51327, 4.10769, 
4.1088, 4.42861, 4.18069, 3.93352, 3.39787, 2.89098, 3.08454, 
3.72618, 4.12586, 4.63505, 4.86729, 5.01291, 5.11497, 5.14717, 
4.91162, 4.88138, 4.83137, 4.86484, 4.74245, 4.60716, 4.48277, 
4.41982, 4.3762, 4.35706, 4.28861, 4.2185, 4.14794, 4.07899, 
4.01377, 3.95342, 3.73373, 3.65381, 3.57909, 3.5671, 3.53961, 
3.46582, 3.38359, 3.35238, 3.2344, 3.06141, 2.95704, 2.83069, 
2.70356, 2.60836, 2.51646, 2.44632, 2.39103, 2.32585, 2.25485, 
2.21428, 2.11301, 1.93373, 1.87447, 1.81369, 1.73567, 1.57205, 
1.45648, 1.35196, 1.23605, 1.19146, 1.19536, 1.18119, 1.18733, 
1.14721, 1.10824, 1.07676, 1.0535, 1.03727, 1.02243, 1.00107, 
0.97706, 0.939861, 0.888585, 0.824567, 0.820517, 0.836397, 0.847129, 
0.812434, 0.769633, 0.723309, 0.715456, 1.54149, 1.57418, 1.60784, 
1.64241, 1.67788, 1.7142, 1.75137, 1.78936, 1.8282, 1.86792, 
1.90862, 1.95044, 1.99354, 2.03815, 2.08451, 2.13285, 2.18338, 
2.23624, 2.29142, 2.34879, 2.40803, 2.46867, 2.53007, 2.59154, 
2.65241, 2.71208, 2.77019, 2.82661, 2.88149, 2.93522, 2.98826, 
3.04109, 3.09408, 3.14747, 3.2015, 3.25652, 3.31322, 3.3727, 
3.43633, 3.50548, 3.58094, 3.5827, 3.70637, 3.82574, 3.43635, 
3.57806, 4.05752, 4.21094, 4.30865, 4.33114, 4.39901, 4.45492, 
4.03462, 3.20912, 2.79904, 2.95879, 3.75016, 4.30007, 4.60044, 
4.8173, 4.91625, 4.95017, 4.80476, 4.685, 4.63802, 4.67185, 4.51226, 
4.39986, 4.30973, 4.25611, 4.21244, 4.19547, 4.13219, 4.06713, 
4.00106, 3.93575, 3.87325, 3.81506, 3.76134, 3.40691, 3.41084, 
3.42353, 3.40945, 3.36262, 3.29589, 3.20246, 3.252, 3.07289, 
2.95713, 2.79672, 2.71748, 2.6199, 2.50548, 2.44462, 2.39157, 
2.35177, 2.32379, 2.25604, 2.07827, 1.97148, 1.89816, 1.82417, 
1.74868, 1.65037, 1.498, 1.39913, 1.31699, 1.22595, 1.19452, 
1.16026, 1.16831, 1.15606, 1.11289, 1.07395, 1.04857, 1.01451, 
0.992796, 0.961849, 0.937002, 0.90878, 0.867078, 0.847246, 0.852588, 
0.865845, 0.803095, 0.767637, 0.737771, 0.722077, 0.707009, 1.53099, 
1.563, 1.59583, 1.62946, 1.66385, 1.69898, 1.73487, 1.77153, 
1.80903, 1.84744, 1.88691, 1.92761, 1.96976, 2.01357, 2.05925, 
2.10699, 2.15689, 2.20893, 2.26298, 2.31871, 2.37567, 2.43328, 
2.49089, 2.54788, 2.60373, 2.65812, 2.71094, 2.76234, 2.81263, 
2.86227, 2.91168, 2.96122, 3.01111, 3.06153, 3.11272, 3.16517, 
3.21974, 3.27763, 3.34018, 3.40839, 3.48249, 3.45527, 3.57753, 
3.49353, 2.96818, 3.62559, 3.98547, 4.09464, 4.16826, 4.17821, 
4.25961, 4.32151, 4.28014, 3.83421, 3.39513, 3.72096, 3.7545, 
3.48777, 3.99765, 4.63531, 4.7304, 4.76864, 4.52871, 4.5013, 
4.45708, 4.40163, 4.33495, 4.23939, 4.15353, 4.09247, 4.05271, 
4.04329, 3.98474, 3.92437, 3.86261, 3.80088, 3.74112, 3.68498, 
3.63315, 3.37193, 3.28856, 3.30101, 3.29735, 3.27263, 3.223, 
3.1445, 3.15401, 3.09259, 3.013, 2.82067, 2.70877, 2.63477, 2.54861, 
2.49233, 2.42793, 2.35516, 2.29333, 2.20902, 2.0981, 1.98954, 
1.91586, 1.83861, 1.75056, 1.66858, 1.59634, 1.46394, 1.36397, 
1.27703, 1.24, 1.19953, 1.19366, 1.17025, 1.1249, 1.08052, 1.03718, 
0.994691, 0.964813, 0.935955, 0.911646, 0.889638, 0.874795, 0.873238, 
0.876681, 0.826286, 0.784509, 0.780827, 0.75803, 0.710911, 0.695797, 
1.52013, 1.55132, 1.58321, 1.61579, 1.64904, 1.68296, 1.71761, 
1.75303, 1.78933, 1.82664, 1.86514, 1.90501, 1.94647, 1.98971, 
2.03488, 2.08205, 2.1312, 2.18217, 2.23467, 2.28826, 2.34238, 
2.39646, 2.44992, 2.50229, 2.55327, 2.60279, 2.65098, 2.69815, 
2.7447, 2.79102, 2.83743, 2.88415, 2.9313, 2.97904, 3.02774, 
3.07806, 3.13101, 3.18779, 3.24954, 3.3168, 3.25339, 3.31729, 
3.51045, 3.4834, 3.6404, 3.79035, 3.81886, 3.87111, 3.92251, 
4.08665, 4.1235, 4.16351, 4.12309, 3.95069, 3.71063, 3.89029, 
3.98745, 3.98357, 3.98592, 4.29447, 4.5544, 4.57988, 4.3553, 
4.32917, 4.28749, 4.23537, 4.17388, 4.08166, 3.99244, 3.89639, 
3.8701, 3.89977, 3.84553, 3.7895, 3.73185, 3.67366, 3.61665, 
3.56254, 3.51238, 3.32377, 3.22637, 3.20425, 3.18676, 3.1558, 
3.11881, 3.0995, 3.09173, 3.00497, 2.88406, 2.77888, 2.68521, 
2.60323, 2.56461, 2.59258, 2.48271, 2.32353, 2.24973, 2.17149, 
2.09142, 2.00633, 1.93561, 1.84925, 1.75707, 1.66361, 1.59168, 
1.5154, 1.39168, 1.30532, 1.29023, 1.25443, 1.22448, 1.20251, 
1.14058, 1.09, 1.04088, 0.987778, 0.951024, 0.930321, 0.903528, 
0.884555, 0.872361, 0.878885, 0.860159, 0.819251, 0.807738, 0.762816, 
0.714668, 0.678265, 0.676302, 1.50875, 1.53901, 1.56989, 1.60137, 
1.63347, 1.66624, 1.69975, 1.73409, 1.76941, 1.80587, 1.84366, 
1.88295, 1.92392, 1.96671, 2.01137, 2.05785, 2.10599, 2.1555, 
2.20597, 2.2569, 2.30774, 2.35796, 2.40714, 2.45502, 2.50152, 
2.54677, 2.59105, 2.63475, 2.67825, 2.72184, 2.76568, 2.80989, 
2.85456, 2.89994, 2.94652, 2.99515, 3.04692, 3.10294, 3.16399, 
3.07485, 3.15627, 3.3374, 3.42823, 3.5327, 3.61329, 3.6609, 3.6929, 
3.74626, 3.88055, 3.83232, 3.9905, 4.01749, 3.99132, 4.01525, 
3.98649, 3.93112, 3.98821, 4.077, 4.14553, 4.30864, 4.38723, 
4.40117, 4.37573, 4.16759, 4.12825, 4.07918, 4.07548, 3.96232, 
3.86997, 3.86404, 3.80988, 3.76426, 3.71394, 3.66195, 3.60818, 
3.55343, 3.49917, 3.44711, 3.30165, 3.17002, 3.11245, 3.0933, 
3.07933, 3.06012, 3.02859, 2.97181, 3.01378, 2.94746, 2.87829, 
2.80793, 2.73792, 2.66949, 2.5157, 2.42773, 2.34872, 2.29279, 
2.22367, 2.15693, 2.09725, 2.03054, 1.9736, 1.88008, 1.77843, 
1.67922, 1.58666, 1.55496, 1.4958, 1.42458, 1.33059, 1.29228, 
1.24956, 1.20525, 1.15505, 1.11498, 1.05609, 1.00448, 0.97363, 
0.934152, 0.902072, 0.860043, 0.852959, 0.858207, 0.849445, 0.823994, 
0.78787, 0.747662, 0.703448, 0.676522, 0.670331, 1.49673, 1.52601, 
1.55584, 1.58625, 1.61728, 1.64901, 1.68154, 1.71501, 1.74959, 
1.78543, 1.82273, 1.86162, 1.9022, 1.94453, 1.98854, 2.03407, 
2.08082, 2.12842, 2.1764, 2.22425, 2.2715, 2.31776, 2.36278, 
2.40651, 2.44907, 2.49071, 2.53179, 2.57268, 2.61365, 2.65488, 
2.69644, 2.73837, 2.78081, 2.82414, 2.86901, 2.91639, 2.96734, 
3.02278, 3.10486, 3.1477, 3.21529, 3.28366, 3.34967, 3.43191, 
3.4907, 3.60577, 3.57592, 3.69619, 3.66508, 3.7027, 3.73383, 
3.85253, 3.77727, 3.87535, 3.87288, 3.81073, 3.86936, 3.95939, 
4.0617, 4.16027, 4.22712, 4.24146, 4.21822, 4.0157, 3.97852, 
3.93226, 3.88124, 3.82909, 3.77814, 3.72934, 3.68238, 3.63617, 
3.58941, 3.54113, 3.40644, 3.33274, 3.25672, 3.14843, 3.008, 
2.94848, 2.97468, 2.9491, 2.97883, 3.07058, 3.04346, 2.99301, 
2.92249, 2.87682, 2.81293, 2.74705, 2.68069, 2.61515, 2.55143, 
2.49015, 2.43158, 2.31937, 2.22717, 2.14961, 2.08841, 2.04421, 
2.06683, 1.90521, 1.79729, 1.70253, 1.62595, 1.56106, 1.48019, 
1.31146, 1.26191, 1.23328, 1.21856, 1.20828, 1.17017, 1.13522, 
1.08473, 1.04637, 0.991445, 0.934812, 0.891046, 0.859973, 0.852729, 
0.843076, 0.824762, 0.806051, 0.793666, 0.740097, 0.705428, 0.682675, 
0.678754, 1.48405, 1.51234, 1.54116, 1.57058, 1.60066, 1.63151, 
1.66328, 1.6961, 1.73015, 1.76558, 1.80253, 1.84108, 1.88125, 
1.92296, 1.96606, 2.01028, 2.05523, 2.10049, 2.14559, 2.1901, 
2.23367, 2.27607, 2.31726, 2.35733, 2.39654, 2.43523, 2.47371, 
2.51227, 2.55107, 2.59019, 2.62964, 2.66948, 2.70996, 2.75158, 
2.79516, 2.84167, 2.89208, 2.94697, 3.00626, 3.06901, 3.1335, 
3.19751, 3.25896, 3.31642, 3.36945, 3.41848, 3.4642, 3.59065, 
3.64861, 3.57951, 3.70808, 3.66314, 3.64508, 3.66237, 3.73797, 
3.70806, 3.76087, 3.84135, 3.93351, 4.01871, 4.07389, 4.08925, 
4.06868, 3.87271, 3.83752, 3.79384, 3.74567, 3.69639, 3.64825, 
3.60223, 3.55811, 3.51492, 3.47141, 3.42653, 3.37983, 3.29029, 
3.22104, 3.1622, 3.07064, 3.09808, 3.10798, 3.07128, 3.03523, 
2.99785, 2.95727, 2.91222, 2.86216, 2.80735, 2.74865, 2.68734, 
2.62481, 2.56237, 2.50108, 2.44169, 2.38468, 2.33023, 2.27829, 
2.1978, 2.14421, 2.04983, 2.09055, 1.91322, 1.81675, 1.72194, 
1.64228, 1.56178, 1.47814, 1.32412, 1.22295, 1.19254, 1.19035, 
1.19569, 1.1803, 1.14503, 1.10488, 1.06459, 0.996696, 0.947058, 
0.905185, 0.871737, 0.857148, 0.829386, 0.796806, 0.794861, 0.779886, 
0.762801, 0.731588, 0.70008, 0.673958, 1.47073, 1.49809, 1.526, 
1.55455, 1.58385, 1.61403, 1.64523, 1.67762, 1.71132, 1.74645, 
1.7831, 1.82126, 1.86085, 1.9017, 1.94355, 1.98606, 2.02881, 
2.07137, 2.11336, 2.15444, 2.19443, 2.23327, 2.27107, 2.30804, 
2.34451, 2.38078, 2.41712, 2.45369, 2.49056, 2.52772, 2.5652, 
2.60314, 2.64193, 2.68222, 2.72489, 2.77086, 2.82086, 2.87511, 
2.93311, 2.99353, 3.05451, 3.11397, 3.17024, 3.22244, 3.27064, 
3.31547, 3.35754, 3.39676, 3.43216, 3.46233, 3.48635, 3.5048, 
3.52014, 3.5362, 3.55701, 3.64074, 3.67193, 3.73077, 3.80812, 
3.88306, 3.92829, 3.9573, 3.93224, 3.7379, 3.70455, 3.66325, 
3.6177, 3.57106, 3.52551, 3.48203, 3.4405, 3.40004, 3.35946, 
3.31772, 3.27421, 3.22904, 3.18295, 3.13721, 3.09322, 3.05204, 
3.01405, 2.97874, 2.94479, 2.91041, 2.87378, 2.83344, 2.78856, 
2.73904, 2.68541, 2.62869, 2.57011, 2.51091, 2.45219, 2.39483, 
2.33946, 2.28638, 2.23569, 2.1873, 2.14097, 1.99469, 1.96185, 
2.0115, 1.82809, 1.73569, 1.63068, 1.55624, 1.47817, 1.36465, 
1.22783, 1.17961, 1.18073, 1.18316, 1.17039, 1.15186, 1.11272, 
1.05501, 0.991164, 0.962338, 0.927004, 0.891097, 0.858679, 0.827612, 
0.793434, 0.783904, 0.763576, 0.748086, 0.733839, 0.6962, 0.66574, 
1.45689, 1.48341, 1.51054, 1.5384, 1.56711, 1.59681, 1.62764, 
1.65973, 1.69318, 1.72805, 1.76433, 1.80194, 1.84071, 1.88037, 
1.92061, 1.96103, 2.00125, 2.04091, 2.07971, 2.11746, 2.15413, 
2.18982, 2.22474, 2.25916, 2.2934, 2.32769, 2.36221, 2.39701, 
2.43208, 2.4674, 2.50306, 2.53934, 2.57675, 2.61605, 2.65811, 
2.70373, 2.75334, 2.80675, 2.86309, 2.92079, 2.97797, 3.03283, 
3.08417, 3.13164, 3.17562, 3.21685, 3.2557, 3.29178, 3.32391, 
3.35076, 3.37177, 3.38794, 3.40196, 3.4176, 3.43844, 3.46656, 
3.5705, 3.6263, 3.68675, 3.74477, 3.69789, 3.68809, 3.80207, 
3.71555, 3.57901, 3.53991, 3.49678, 3.45258, 3.40941, 3.36824, 
3.32906, 3.29109, 3.25319, 3.21432, 3.17379, 3.13152, 3.08806, 
3.04448, 3.00209, 2.96206, 2.92501, 2.89079, 2.85844, 2.82645, 
2.79309, 2.75681, 2.71657, 2.67195, 2.62318, 2.57098, 2.51638, 
2.46053, 2.40455, 2.3494, 2.29576, 2.24411, 2.19463, 2.14737, 
2.10218, 2.05884, 1.91872, 1.9759, 1.88465, 1.73448, 1.61342, 
1.52289, 1.45039, 1.34239, 1.21992, 1.17435, 1.19442, 1.18067, 
1.16072, 1.14328, 1.11271, 1.06228, 0.99902, 0.979376, 0.942595, 
0.906431, 0.865698, 0.825644, 0.806001, 0.779723, 0.751044, 0.730057, 
0.701952, 0.664422, 0.656711, 1.44269, 1.46851, 1.49503, 1.52237, 
1.55067, 1.58005, 1.61064, 1.64252, 1.67574, 1.71027, 1.74603, 
1.78285, 1.82047, 1.8586, 1.89688, 1.93493, 1.97243, 2.00911, 
2.0448, 2.07947, 2.11321, 2.14622, 2.17876, 2.21111, 2.24352, 
2.27613, 2.30902, 2.34217, 2.37554, 2.40915, 2.44319, 2.47806, 
2.5144, 2.55303, 2.59473, 2.64007, 2.68916, 2.74144, 2.79574, 
2.85039, 2.90361, 2.95398, 3.00076, 3.04402, 3.08437, 3.12247, 
3.15845, 3.1916, 3.22066, 3.24445, 3.2628, 3.27706, 3.29011, 
3.30552, 3.32645, 3.35445, 3.40356, 3.4263, 3.5734, 3.63497, 
3.5377, 3.64735, 3.63341, 3.49038, 3.46033, 3.42327, 3.38238, 
3.34045, 3.29946, 3.26044, 3.2234, 3.18768, 3.15222, 3.11597, 
3.0782, 3.03867, 2.99775, 2.95632, 2.91558, 2.87673, 2.84056, 
2.80722, 2.7761, 2.74597, 2.71527, 2.68245, 2.64631, 2.60617, 
2.56195, 2.51412, 2.46349, 2.4111, 2.35802, 2.30521, 2.25344, 
2.20327, 2.15503, 2.10884, 2.06469, 1.97144, 1.88761, 1.84746, 
1.90457, 1.74091, 1.55543, 1.44747, 1.35476, 1.32085, 1.22754, 
1.17563, 1.18592, 1.1753, 1.16278, 1.14745, 1.11091, 1.08808, 
1.02842, 1.00456, 0.962158, 0.921868, 0.880093, 0.848275, 0.809655, 
0.785129, 0.744964, 0.73231, 0.709243, 0.686899, 0.643001, 1.42833, 
1.45361, 1.47968, 1.50668, 1.53471, 1.5639, 1.59431, 1.62598, 
1.65887, 1.6929, 1.7279, 1.76363, 1.7998, 1.83608, 1.87212, 1.90762, 
1.94234, 1.97612, 2.00894, 2.04087, 2.07211, 2.1029, 2.13351, 
2.16417, 2.19504, 2.22616, 2.25753, 2.2891, 2.32086, 2.3529, 
2.38554, 2.4193, 2.4549, 2.49311, 2.53458, 2.57961, 2.62796, 
2.67877, 2.73068, 2.78201, 2.83124, 2.87733, 2.91999, 2.95958, 
2.99682, 3.03219, 3.06554, 3.09593, 3.12209, 3.14307, 3.15908, 
3.17179, 3.18413, 3.19948, 3.22054, 3.24836, 3.28188, 3.31797, 
3.35226, 3.38012, 3.39783, 3.40317, 3.39571, 3.37659, 3.34802, 
3.31285, 3.27403, 3.23419, 3.19524, 3.15817, 3.1231, 3.08943, 
3.05619, 3.02234, 2.98711, 2.95016, 2.91168, 2.87239, 2.83334, 
2.79571, 2.7604, 2.72782, 2.69765, 2.66897, 2.6404, 2.61046, 
2.57786, 2.54173, 2.50175, 2.45809, 2.41139, 2.36251, 2.31243, 
2.26209, 2.21231, 2.16372, 2.11676, 2.07166, 2.02849, 1.89886, 
1.85749, 1.8557, 1.87259, 1.83674, 1.59444, 1.4003, 1.29917, 
1.29461, 1.256, 1.18077, 1.14381, 1.13991, 1.12799, 1.15773, 
1.1267, 1.08976, 1.05429, 1.01286, 0.981016, 0.944596, 0.895947, 
0.855339, 0.815099, 0.782355, 0.753669, 0.730854, 0.708713, 0.688794, 
0.662319, 1.41401, 1.4389, 1.46469, 1.49147, 1.51935, 1.54838, 
1.5786, 1.60996, 1.64238, 1.67568, 1.70964, 1.74398, 1.7784, 
1.81258, 1.84622, 1.87912, 1.91113, 1.94222, 1.97248, 2.00208, 
2.03125, 2.06024, 2.08928, 2.11852, 2.14802, 2.17775, 2.20767, 
2.23773, 2.26798, 2.29864, 2.33013, 2.36308, 2.3982, 2.43619, 
2.47747, 2.52205, 2.56938, 2.61839, 2.66759, 2.71546, 2.76077, 
2.80288, 2.84187, 2.87831, 2.91287, 2.94582, 2.97673, 3.0045, 
3.02792, 3.04635, 3.06033, 3.07179, 3.08366, 3.09905, 3.12024, 
3.14785, 3.18055, 3.21521, 3.24766, 3.2737, 3.28996, 3.29453, 
3.28711, 3.26876, 3.24157, 3.20816, 3.17127, 3.13338, 3.0963, 
3.06105, 3.02778, 2.99599, 2.96476, 2.93311, 2.90023, 2.8657, 
2.82957, 2.79238, 2.75505, 2.71869, 2.68427, 2.65236, 2.62294, 
2.59536, 2.56846, 2.54089, 2.51131, 2.47874, 2.44263, 2.40294, 
2.36005, 2.31466, 2.26763, 2.21987, 2.1722, 2.12531, 2.07971, 
1.99589, 1.94263, 1.86745, 1.81978, 1.74616, 1.73227, 1.80666, 
1.76269, 1.49352, 1.37405, 1.3852, 1.30638, 1.17404, 1.10384, 
1.07726, 1.16839, 1.17961, 1.14079, 1.09235, 1.05072, 1.02013, 
0.99346, 0.945304, 0.907883, 0.867658, 0.824306, 0.791286, 0.76224, 
0.733565, 0.710413, 0.6785, 0.645051, 1.39993, 1.42458, 1.45019, 
1.47685, 1.50459, 1.53345, 1.56338, 1.59428, 1.62599, 1.6583, 
1.69094, 1.72363, 1.75606, 1.78798, 1.81919, 1.84955, 1.87904, 
1.90774, 1.93581, 1.96348, 1.99097, 2.0185, 2.04623, 2.07421, 
2.10244, 2.13084, 2.15935, 2.18798, 2.21687, 2.24636, 2.27697, 
2.30937, 2.34424, 2.38209, 2.42313, 2.46707, 2.51309, 2.55996, 
2.60625, 2.65061, 2.69216, 2.73065, 2.76642, 2.80015, 2.83239, 
2.86315, 2.89176, 2.91704, 2.93791, 2.95404, 2.96629, 2.97677, 
2.98836, 3.00387, 3.02516, 3.05251, 3.08436, 3.11761, 3.14833, 
3.17266, 3.18759, 3.19147, 3.18409, 3.16649, 3.14058, 3.1088, 
3.07372, 3.03764, 3.00231, 2.96873, 2.93712, 2.90704, 2.87766, 
2.84802, 2.81732, 2.78505, 2.75115, 2.71601, 2.68041, 2.64536, 
2.61185, 2.58059, 2.55179, 2.52504, 2.49944, 2.47376, 2.44674, 
2.41728, 2.38468, 2.34868, 2.30943, 2.26747, 2.22352, 2.17843, 
2.13299, 2.08791, 2.04377, 1.92951, 1.92382, 1.81414, 1.75299, 
1.69295, 1.67171, 1.69202, 1.74447, 1.6055, 1.44377, 1.40748, 
1.34617, 1.23875, 1.1471, 1.15188, 1.20884, 1.18066, 1.14509, 
1.11011, 1.05716, 1.0365, 0.997615, 0.959663, 0.922736, 0.880362, 
0.841462, 0.806097, 0.769813, 0.740294, 0.713068, 0.685928, 0.660774, 
1.38625, 1.41076, 1.43626, 1.46281, 1.49039, 1.51897, 1.54845, 
1.57868, 1.60944, 1.64049, 1.67156, 1.70237, 1.73268, 1.76231, 
1.79113, 1.81914, 1.84639, 1.87304, 1.8993, 1.9254, 1.95153, 
1.97785, 2.00442, 2.03124, 2.05824, 2.08534, 2.1125, 2.13982, 
2.16753, 2.19609, 2.22608, 2.25816, 2.29289, 2.33063, 2.37129, 
2.41433, 2.45874, 2.50323, 2.54647, 2.58738, 2.62543, 2.66068, 
2.69368, 2.72508, 2.75526, 2.78399, 2.81039, 2.83329, 2.85181, 
2.86589, 2.8767, 2.88645, 2.89791, 2.91358, 2.9668, 3.01373, 
3.01711, 3.02482, 3.0539, 3.07663, 3.09035, 3.09362, 3.0863, 
3.06939, 3.04469, 3.01444, 2.98103, 2.94664, 2.91293, 2.88091, 
2.85083, 2.82232, 2.79462, 2.76682, 2.73812, 2.70796, 2.67617, 
2.64302, 2.60913, 2.57543, 2.54289, 2.51228, 2.48399, 2.45788, 
2.43328, 2.40912, 2.38422, 2.35744, 2.32796, 2.29533, 2.25953, 
2.22091, 2.18004, 2.13766, 2.09454, 2.05138, 2.0088, 1.89507, 
1.81635, 1.74458, 1.68186, 1.63339, 1.60956, 1.62436, 1.71675, 
1.68575, 1.52854, 1.42525, 1.35904, 1.2972, 1.2585, 1.22124, 
1.20688, 1.18695, 1.15056, 1.1151, 1.07433, 1.04014, 1.00681, 
0.96714, 0.927666, 0.890365, 0.852828, 0.821422, 0.782201, 0.752656, 
0.722116, 0.692988, 0.667325, 1.37306, 1.39749, 1.42289, 1.44928, 
1.4766, 1.50475, 1.53358, 1.56289, 1.59246, 1.62201, 1.65131, 
1.68013, 1.70828, 1.73567, 1.76229, 1.78818, 1.81351, 1.83847, 
1.86326, 1.88808, 1.91309, 1.93835, 1.96386, 1.98955, 2.01534, 
2.04117, 2.06707, 2.09323, 2.11998, 2.14786, 2.17746, 2.20938, 
2.24405, 2.28158, 2.32165, 2.36352, 2.40604, 2.44796, 2.48812, 
2.52573, 2.56059, 2.593, 2.62362, 2.65301, 2.68134, 2.70814, 
2.73241, 2.75305, 2.76938, 2.78168, 2.7913, 2.80053, 2.81198, 
2.82784, 2.84927, 2.88064, 2.96851, 2.95722, 2.96403, 2.98528, 
2.99857, 3.11902, 2.99336, 2.97711, 2.95354, 2.92472, 2.89288, 
2.86006, 2.84047, 2.79729, 2.76861, 2.74154, 2.71538, 2.68926, 
2.6624, 2.63419, 2.6044, 2.57316, 2.54098, 2.50865, 2.47711, 
2.44718, 2.41939, 2.39379, 2.36994, 2.34697, 2.32378, 2.29927, 
2.27253, 2.24297, 2.21041, 2.17498, 2.13713, 2.09748, 2.05674, 
2.0156, 1.97468, 1.84718, 1.75764, 1.68996, 1.6322, 1.58099, 
1.54416, 1.54762, 1.57225, 1.58761, 1.5314, 1.44004, 1.36924, 
1.30609, 1.26169, 1.24502, 1.21785, 1.1906, 1.15625, 1.11712, 
1.0763, 1.04608, 1.00145, 0.957894, 0.920184, 0.889077, 0.857718, 
0.8283, 0.794153, 0.761095, 0.730167, 0.700052, 0.673824, 1.36041, 
1.38475, 1.41001, 1.43614, 1.46304, 1.49057, 1.51852, 1.54669, 
1.57483, 1.60272, 1.63013, 1.65691, 1.68297, 1.70828, 1.73291, 
1.757, 1.78073, 1.8043, 1.8279, 1.85168, 1.87571, 1.9, 1.92447, 
1.94905, 1.97366, 1.99828, 2.02304, 2.04822, 2.07424, 2.10166, 
2.13107, 2.16294, 2.19753, 2.23471, 2.27397, 2.31437, 2.35477, 
2.394, 2.43111, 2.46564, 2.49764, 2.52761, 2.55619, 2.58383, 
2.61045, 2.6354, 2.65763, 2.67612, 2.69047, 2.7012, 2.70987, 
2.71875, 2.73027, 2.74634, 2.76779, 2.79404, 2.82321, 2.85242, 
2.87843, 2.89829, 2.90987, 2.91208, 2.90492, 2.88931, 2.86679, 
2.86429, 2.84208, 2.80253, 2.71905, 2.50598, 2.68879, 2.66444, 
2.63969, 2.61512, 2.58994, 2.56355, 2.53564, 2.50623, 2.47572, 
2.44478, 2.41429, 2.38508, 2.35778, 2.33261, 2.30933, 2.28726, 
2.26544, 2.24284, 2.21848, 2.19169, 2.16209, 2.12968, 2.09477, 
2.05784, 2.01952, 1.98047, 1.9413, 1.79773, 1.70835, 1.64557, 
1.59065, 1.53713, 1.49953, 1.5257, 1.56823, 1.52424, 1.48522, 
1.44539, 1.39736, 1.34426, 1.30379, 1.27472, 1.24137, 1.20423, 
1.16381, 1.12286, 1.08446, 1.04762, 0.991791, 0.940656, 0.912079, 
0.890945, 0.858749, 0.829093, 0.798696, 0.767998, 0.737654, 0.706299, 
0.676546, 1.34826, 1.37247, 1.39748, 1.42321, 1.4495, 1.47618, 
1.50305, 1.52987, 1.55642, 1.58252, 1.60802, 1.63282, 1.65692, 
1.68037, 1.7033, 1.72588, 1.74831, 1.77076, 1.79339, 1.81626, 
1.8394, 1.86274, 1.8862, 1.90968, 1.93314, 1.95665, 1.98042, 
2.00481, 2.03032, 2.05749, 2.08684, 2.1187, 2.15313, 2.18979, 
2.22797, 2.26667, 2.30477, 2.34125, 2.37544, 2.40714, 2.43663, 
2.4645, 2.49133, 2.5174, 2.54242, 2.56558, 2.58582, 2.60231, 
2.61487, 2.62427, 2.63219, 2.64087, 2.65254, 2.66881, 2.69022, 
2.71603, 2.74428, 2.77222, 2.79681, 2.81538, 2.82601, 2.82776, 
2.8207, 2.80568, 2.78414, 2.75791, 2.7289, 2.72517, 2.65171, 
2.31997, 2.39189, 2.5908, 2.56734, 2.54419, 2.52057, 2.49586, 
2.46971, 2.44205, 2.41316, 2.38363, 2.35424, 2.3258, 2.29899, 
2.27419, 2.25134, 2.22996, 2.20924, 2.1882, 2.16588, 2.14151, 
2.11462, 2.08506, 2.05296, 2.0187, 1.98282, 1.94591, 1.90855, 
1.71694, 1.65513, 1.57322, 1.53712, 1.55997, 1.54678, 1.54745, 
1.60236, 1.60908, 1.52913, 1.46108, 1.42685, 1.37602, 1.33801, 
1.29996, 1.26102, 1.21867, 1.15282, 1.11621, 1.08718, 1.04646, 
1.00934, 0.965579, 0.916975, 0.876837, 0.847645, 0.823436, 0.800493, 
0.773396, 0.74699, 0.715807, 0.685104, 1.33654, 1.36051, 1.38513, 
1.41027, 1.43575, 1.46139, 1.48697, 1.51228, 1.53716, 1.56145, 
1.58508, 1.60804, 1.63038, 1.65223, 1.67373, 1.69509, 1.71647, 
1.73801, 1.7598, 1.78185, 1.80413, 1.82653, 1.84896, 1.87135, 
1.89374, 1.91627, 1.93922, 1.96304, 1.98823, 2.01531, 2.04467, 
2.0765, 2.11063, 2.14655, 2.18342, 2.22022, 2.2559, 2.28967, 
2.3211, 2.35025, 2.37755, 2.40363, 2.42896, 2.4536, 2.47708, 
2.49849, 2.51683, 2.53145, 2.54241, 2.5507, 2.55806, 2.56667, 
2.57852, 2.59497, 2.61631, 2.64163, 2.66897, 2.69567, 2.71893, 
2.73629, 2.74605, 2.7474, 2.74044, 2.72597, 2.70537, 2.6803, 
2.65257, 2.6239, 2.54561, 2.20854, 2.16764, 2.48707, 2.49816, 
2.4763, 2.45411, 2.43096, 2.40644, 2.38045, 2.35314, 2.32501, 
2.29673, 2.26911, 2.24284, 2.2184, 2.19591, 2.17505, 2.15516, 
2.13537, 2.11476, 2.09253, 2.06808, 2.04115, 2.01172, 1.98006, 
1.94658, 1.91182, 1.87633, 1.82565, 1.66364, 1.57365, 1.5726, 
1.63827, 1.67236, 1.64203, 1.61288, 1.58481, 1.55768, 1.53138, 
1.42867, 1.38478, 1.32724, 1.24854, 1.17804, 1.04681, 0.917004, 
0.932718, 0.997662, 1.00538, 0.982039, 0.924382, 0.889352, 0.86799, 
0.839615, 0.818833, 0.797043, 0.773264, 0.749536, 0.724854, 0.694871, 
1.32512, 1.3487, 1.37275, 1.39712, 1.42161, 1.44602, 1.47017, 
1.49389, 1.51705, 1.53959, 1.56148, 1.58278, 1.6036, 1.62411, 
1.64446, 1.66483, 1.68536, 1.70612, 1.72716, 1.74842, 1.76982, 
1.79127, 1.81268, 1.83404, 1.85546, 1.87715, 1.89948, 1.92292, 
1.94796, 1.97504, 2.00444, 2.03613, 2.06979, 2.10475, 2.1401, 
2.17484, 2.20809, 2.23925, 2.26815, 2.29503, 2.32045, 2.34499, 
2.36897, 2.39227, 2.41425, 2.43396, 2.45049, 2.46339, 2.47295, 
2.48031, 2.48729, 2.49591, 2.50798, 2.5246, 2.54582, 2.57062, 
2.59705, 2.62256, 2.64455, 2.66079, 2.66975, 2.67074, 2.66388, 
2.64995, 2.63022, 2.60625, 2.57972, 2.55227, 2.51827, 2.19736, 
1.93237, 2.09644, 2.27383, 2.41127, 2.39038, 2.36867, 2.34569, 
2.32127, 2.2955, 2.26874, 2.24162, 2.21485, 2.18916, 2.1651, 
2.1429, 2.12242, 2.10316, 2.08437, 2.06519, 2.0448, 2.02253, 
1.998, 1.97107, 1.94188, 1.91076, 1.87816, 1.84459, 1.81056, 
1.71641, 1.61091, 1.59746, 1.67802, 1.64712, 1.61737, 1.58875, 
1.56121, 1.53466, 1.50896, 1.48399, 1.36568, 1.27418, 1.17875, 
1.11763, 0.984268, 0.791443, 0.786424, 0.898012, 0.968719, 0.972075, 
0.932792, 0.886287, 0.856526, 0.832098, 0.811321, 0.79161, 0.771067, 
0.751435, 0.729212, 0.703097, 1.31382, 1.33685, 1.36016, 1.38357, 
1.40689, 1.42995, 1.45259, 1.4747, 1.4962, 1.51709, 1.53741, 
1.55728, 1.57684, 1.59625, 1.61567, 1.63524, 1.65505, 1.67513, 
1.69544, 1.7159, 1.73642, 1.75691, 1.77733, 1.79774, 1.8183, 
1.83933, 1.86122, 1.88446, 1.90948, 1.93662, 1.96599, 1.99741, 
2.0304, 2.06418, 2.09783, 2.13043, 2.16127, 2.18997, 2.21659, 
2.24151, 2.26532, 2.28853, 2.31129, 2.3333, 2.35381, 2.37185, 
2.38666, 2.39799, 2.40633, 2.41296, 2.41968, 2.4284, 2.4407, 
2.45745, 2.47852, 2.50279, 2.52831, 2.55268, 2.57347, 2.58866, 
2.59688, 2.59754, 2.5908, 2.57738, 2.55847, 2.53553, 2.51013, 
2.48509, 2.47064, 2.10894, 2.10613, 2.12762, 2.08881, 2.34391, 
2.32925, 2.30886, 2.28732, 2.26438, 2.24008, 2.21469, 2.18873, 
2.16286, 2.1378, 2.11413, 2.09219, 2.07201, 2.05323, 2.03522, 
2.01721, 1.99836, 1.978, 1.95562, 1.93102, 1.90419, 1.87536, 
1.8449, 1.81327, 1.78093, 1.74835, 1.64885, 1.68308, 1.65284, 
1.62262, 1.59344, 1.56534, 1.5383, 1.51224, 1.48709, 1.46271, 
1.38962, 1.27436, 1.1701, 1.09876, 0.982908, 0.829857, 0.749065, 
0.883916, 0.937794, 0.952874, 0.925073, 0.885814, 0.849412, 0.824119, 
0.8017, 0.783853, 0.766023, 0.751122, 0.732128, 0.709624, 1.30247, 
1.32479, 1.34718, 1.36948, 1.39152, 1.41315, 1.43426, 1.45479, 
1.47473, 1.49414, 1.51311, 1.53178, 1.5503, 1.56883, 1.58751, 
1.60642, 1.62559, 1.645, 1.66458, 1.68424, 1.70386, 1.72341, 
1.7429, 1.76245, 1.78231, 1.80283, 1.82446, 1.84763, 1.87271, 
1.89991, 1.92916, 1.96015, 1.99225, 2.02465, 2.05646, 2.08689, 
2.11541, 2.14185, 2.16645, 2.18969, 2.21214, 2.23418, 2.25581, 
2.27656, 2.2956, 2.31204, 2.32523, 2.33513, 2.34243, 2.34849, 
2.35507, 2.36394, 2.37648, 2.39333, 2.41421, 2.43792, 2.46255, 
2.48582, 2.50549, 2.5197, 2.52724, 2.52761, 2.52098, 2.50805, 
2.48991, 2.46794, 2.4436, 2.41835, 2.39342, 2.26389, 2.22861, 
2.21313, 2.1619, 2.11151, 2.27057, 2.25141, 2.2312, 2.20967, 
2.18677, 2.16271, 2.13791, 2.11298, 2.08858, 2.06534, 2.04368, 
2.02373, 2.0053, 1.98789, 1.97079, 1.95324, 1.93452, 1.91409, 
1.89161, 1.86701, 1.84038, 1.81203, 1.78232, 1.7517, 1.72061, 
1.68945, 1.65858, 1.62829, 1.59879, 1.5702, 1.54261, 1.51604, 
1.49045, 1.46577, 1.44191, 1.41876, 1.32624, 1.18833, 1.07625, 
0.982636, 0.829979, 0.740724, 0.883453, 0.923747, 0.925673, 0.912779, 
0.877707, 0.841031, 0.814237, 0.790976, 0.77355, 0.75814, 0.745219, 
0.729192, 0.710381, 1.2909, 1.31234, 1.33368, 1.35475, 1.37543, 
1.39561, 1.41523, 1.43429, 1.45284, 1.47096, 1.48879, 1.50648, 
1.52418, 1.542, 1.56006, 1.57838, 1.59694, 1.61569, 1.63452, 
1.65335, 1.67209, 1.69074, 1.70937, 1.7282, 1.74751, 1.76771, 
1.78921, 1.81241, 1.83758, 1.86477, 1.89378, 1.92415, 1.95517, 
1.98603, 2.01591, 2.04417, 2.0705, 2.0949, 2.11774, 2.13956, 
2.16085, 2.18186, 2.20241, 2.22192, 2.23952, 2.25439, 2.26607, 
2.27471, 2.28113, 2.28676, 2.2933, 2.30237, 2.31514, 2.33206, 
2.35271, 2.37584, 2.3996, 2.42182, 2.44042, 2.45372, 2.46064, 
2.46075, 2.45424, 2.44177, 2.42436, 2.40329, 2.37996, 2.35571, 
2.33173, 2.30887, 2.28758, 2.26788, 2.24946, 2.18105, 2.21421, 
2.19619, 2.17721, 2.157, 2.13544, 2.11267, 2.08904, 2.06507, 
2.04139, 2.01862, 1.99724, 1.97749, 1.95931, 1.94233, 1.92595, 
1.90946, 1.89216, 1.87344, 1.85291, 1.83037, 1.80583, 1.7795, 
1.7517, 1.72281, 1.69325, 1.66342, 1.63367, 1.6043, 1.57555, 
1.54759, 1.52053, 1.49443, 1.46927, 1.44504, 1.42164, 1.39898, 
1.37696, 1.19824, 1.0744, 0.991318, 0.888393, 0.768662, 0.893493, 
0.915288, 0.918857, 0.902947, 0.870789, 0.837823, 0.810254, 0.784448, 
0.76477, 0.748464, 0.736528, 0.722208, 0.706302, 1.27896, 1.29939, 
1.31956, 1.33934, 1.35864, 1.37741, 1.39565, 1.41338, 1.43071, 
1.44775, 1.46466, 1.48156, 1.49859, 1.51584, 1.53335, 1.55111, 
1.56907, 1.58714, 1.6052, 1.62319, 1.64107, 1.65888, 1.67678, 
1.69502, 1.71394, 1.73396, 1.75545, 1.77874, 1.80397, 1.83105, 
1.85967, 1.88924, 1.91901, 1.9482, 1.97612, 2.00229, 2.02657, 
2.04915, 2.07048, 2.0911, 2.11139, 2.13146, 2.15098, 2.16925, 
2.18543, 2.19881, 2.2091, 2.21661, 2.22231, 2.22763, 2.2342, 
2.24348, 2.25647, 2.27342, 2.29382, 2.31637, 2.33927, 2.36048, 
2.37808, 2.39053, 2.39688, 2.39677, 2.39038, 2.37834, 2.36162, 
2.34141, 2.319, 2.2957, 2.27263, 2.25061, 2.2301, 2.21116, 2.19352, 
2.17668, 2.16006, 2.14308, 2.12526, 2.10628, 2.086, 2.06448, 
2.042, 2.019, 1.99606, 1.9738, 1.95272, 1.93316, 1.91517, 1.89851, 
1.88269, 1.86707, 1.85095, 1.83373, 1.81494, 1.79428, 1.77171, 
1.74734, 1.7214, 1.69425, 1.66624, 1.63777, 1.60919, 1.58079, 
1.55285, 1.52556, 1.49905, 1.47342, 1.4487, 1.42487, 1.40189, 
1.37967, 1.35814, 1.21662, 1.07821, 0.996482, 0.886156, 0.793632, 
0.887725, 0.914415, 0.916987, 0.898375, 0.869174, 0.834215, 0.804621, 
0.777914, 0.756866, 0.739114, 0.726609, 0.712866, 0.698519, 1.26651, 
1.28584, 1.30478, 1.32326, 1.34123, 1.35868, 1.37565, 1.39224, 
1.40854, 1.4247, 1.44086, 1.45714, 1.47363, 1.49038, 1.50738, 
1.52459, 1.54192, 1.55927, 1.57656, 1.59372, 1.61079, 1.62785, 
1.64514, 1.66294, 1.68163, 1.70159, 1.72316, 1.74654, 1.77177, 
1.79863, 1.82666, 1.85525, 1.88363, 1.91109, 1.93706, 1.96125, 
1.98367, 2.00466, 2.0247, 2.04428, 2.0637, 2.08289, 2.10138, 
2.11843, 2.13323, 2.1452, 2.15421, 2.16075, 2.16587, 2.17099, 
2.17765, 2.18716, 2.20033, 2.21728, 2.23738, 2.25934, 2.2814, 
2.30164, 2.31829, 2.32995, 2.33578, 2.33546, 2.32919, 2.31757, 
2.3015, 2.2821, 2.26058, 2.23817, 2.21595, 2.19473, 2.17496, 
2.15674, 2.13982, 2.12376, 2.108, 2.09199, 2.07524, 2.05741, 
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4207759.66, 4207859.66, 4207959.66, 4208059.66)))

BAAQMD/aertools documentation built on June 30, 2022, 9:10 p.m.