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3.6290321, 3.6911328, 3.663692, 3.5381749, 3.508772, 3.5217795, 3.529958, 3.5447762, 3.5613873, 3.6303632, 3.6562204, 3.7835248, 3.872217, 3.9686427, 4.110946, 6.338028, 6.2068963, 6.122449, 6.711409, 7.236842, 7.7922077, 6.3694267, 6.25, 6.134969, 6.0240965, 5.91716, 6.395349, 6.8571424, 6.703911, 6.557377, 6.9148936, 6.5656567, 5.6603775, 5.676856, 5.6034484, 5.0847454, 5.0209208, 4.1152263, 4.0983605, 4.0983605, 2.857143, 2.745098, 2.661597, 1.8656716, 1.8382354, 1.8450184, 1.8867924, 1.968504, 1.577287, 1.7456359, 1.6359918, 1.9031141, 1.6320474, 1.5706805, 1.8979834, 1.9845645, 2.0338984, 2.3529413, 2.682927, 2.8785982, 3.3163264, 3.751617, 3.90625, 4.296875, 4.557292, 4.4929395, 4.8223352, 5.0377836, 5.408805, 5.689001, 5.859873, 6.080207, 6.2169313, 6.6485753, 6.713287, 6.866953, 6.789251, 6.9392815, 7.0063696, 6.8564034, 6.6844916, 6.9060774, 7.223796, 7.2961373, 7.230769, 6.6189623, 6.844106, 7, 6.8085103, 3.2258062, 3.305785, 3.3333335, 3.0075188, 3.4013608, 3.10559, 3.3333335, 3.5, 3.6082473, 2.2900765, 2.5316455, 3.2051284, 2.7210884, 2.4193547, 2.3255813, 3.529412, 3.0120482, 2.3076923, 2.4193547, 2.3809524, 2.3076923, 2.3076923, 2.3622048, 2.4590163, 1.7391304, 0.9433962, 1.0416667, 1.0752689, 1.0309278, 0.990099, 0.9615385, 0.9259259, 1.8181818, 1.754386, 1.7094018, 1.6806724, 1.6806724, 1.6806724, 1.6949153, 1.7094018, 1.7241379, 1.7391304, 1.754386, 1.7857144, 0.9090909, 1.8691589, 1.9607844, 2.0408163, 2.1505377, 2.2988505, 2.3809524, 2.4691358, 2.5641026, 2.631579, 2.739726, 2.857143, 2.9850745, 3.030303, 3.030303, 3.030303, 3.0769231, 3.3333335, 3.7037036, 4, 2.173913, 2.2727273, 2.2727273, 4.5454545, 2.3255813, 2.5641026, 2.777778, 2.9411764, 3.2258062, 3.3333335, 3.5071385, 3.525836, 3.4431581, 3.5321367, 3.6953456, 3.9408867, 4.1399574, 3.9261572, 3.720577, 3.5221674, 3.3621516, 3.288526, 3.1845596, 3.2993693, 3.2889962, 3.2826452, 3.3020005, 3.3020005, 3.3139818, 3.3691406, 3.443151, 3.4795766, 3.5209458, 3.5226078, 3.4770892, 3.459729, 3.296391, 3.226744, 2.9143362, 2.5579295, 2.2383354, 2.0098948, 1.8042814, 1.7538365, 1.5946845, 1.5690377, 1.4529605, 1.3883678, 1.3798391, 1.3910356, 1.3904983, 1.3824885, 1.4443178, 1.4812002, 1.464919, 1.5396763, 1.7601309, 1.9189765, 2.092609, 2.0947177, 2.2038567, 2.3765144, 2.467344, 2.7081244, 2.8482652, 2.8962612, 3.0335863, 3.135135, 3.2071505, 3.2648761, 3.197832, 3.2386363, 3.2917137, 3.4064665, 3.5776112, 3.6492054, 3.7888198, 3.8847957, 4.041812, 4.0550327, 4.288939, 4.3846154, 4.505929, 4.6266236, 3.0309453, 3.0804217, 3.1098547, 3.1324346, 3.173676, 3.2363079, 3.2768362, 3.254438, 3.2941177, 3.3510637, 3.3472803, 3.3962264, 3.4779673, 3.5690236, 3.7447524, 3.8998148, 4.1659636, 4.4380693, 4.7424784, 5.0966306, 5.7271004, 5.606826, 5.551639, 5.5941563, 5.648498, 5.546638, 5.5467234, 5.5321393, 5.5331817, 5.461525, 5.413847, 5.329424, 5.2076244, 5.122196, 5.056366, 5.0611978, 5.0639215, 5.0462575, 4.9864774, 5, 5.0970874, 5.2706046, 5.3314376, 5.272316, 5.278442, 5.3109245, 5.3550644, 5.442177, 5.58799, 5.8056874, 6.1126375, 6.340612, 6.6524744, 6.738159, 6.7628493, 6.7210145, 6.7574935, 6.828035, 6.6442833, 6.5499916, 6.5151, 6.6232896, 6.6323996, 6.491576, 6.2469015, 5.9674206, 5.689829, 5.426881, 5.207981, 5.16624, 5.189895, 5.1487217, 5.0186863, 4.979102, 4.3137255, 4.435484, 4.0816326, 3.7037036, 3.7190084, 3.7037036, 3.6734693, 3.6144576, 3.557312, 3.4883723, 3.7037036, 3.9087946, 3.846154, 3.7800689, 3.7162163, 3.322259, 3.2679741, 2.9508195, 2.9411764, 2.922078, 2.5974026, 2.2727273, 1.9354839, 1.9480519, 1.7064847, 1.4184396, 1.4925373, 1.1538461, 1.4545455, 1.1538461, 1.2048192, 1.2711864, 0.8928572, 0.913242, 0.9302325, 0.93457943, 0.9302325, 0.9174312, 1.3513514, 1.3100437, 1.2605042, 1.2295082, 1.6260161, 1.632653, 1.5873017, 1.5267175, 1.459854, 1.7667844, 2.0833335, 2.3728814, 2.484472, 3.1609197, 3.3536587, 3.7037036, 3.7037036, 4.029304, 4.255319, 4.5936394, 5.3254437, 6.3758388, 6.962025, 7.348243, 6.8259387, 7.5987844, 8.148148, 8.8, 9.130435, 9.478673, 9.859155, 9.433963, 9.433963, 8.962264, 8.780488, 9, 5.907781, 6.146485, 6.4491935, 6.656581, 6.7195168, 6.711409, 6.6447606, 6.474564, 6.3645797, 6.2015505, 6.0396037, 5.9015326, 6.336366, 6.701389, 6.934566, 7.1119137, 7.145448, 7.171171, 6.902655, 6.5748706, 6.0424967, 5.8729653, 5.931418, 5.8717794, 5.8738003, 5.7578325, 5.7486997, 5.6794057, 5.5841484, 5.4986253, 5.38893, 5.409287, 5.3575644, 5.2533703, 5.168077, 5.068401, 5.025236, 5.0128536, 5.014626, 5.0183597, 5.0488925, 5.1272016, 5.122235, 5.179053, 5.2198853, 5.249344, 5.2328815, 5.2370453, 5.1258826, 5.01958, 4.996506, 4.923077, 4.9891176, 4.9967127, 4.949054, 4.936508, 4.8484845, 4.845548, 4.6522064, 4.511055, 4.4362564, 4.3999414, 4.369284, 4.4070277, 4.4490585, 4.4897957, 4.5236254, 4.6000633, 4.6136656, 4.6977715, 4.6885037, 4.6761456, 4.672605, 4.5950513, 6.7118897, 6.5873117, 6.4817286, 6.390831, 6.321964, 6.2718735, 6.236115, 6.2196255, 6.215505, 6.225469, 6.2462654, 6.2779784, 6.3165903, 6.3625216, 6.4140654, 6.4695687, 6.526263, 6.5844693, 6.629173, 6.6610055, 6.675779, 6.669221, 6.627331, 6.563014, 6.484824, 6.4011297, 6.323565, 6.2453446, 6.167249, 6.0910144, 6.022483, 5.968119, 5.9188356, 5.888579, 5.885356, 5.9136925, 5.9554524, 5.9612308, 5.8086715, 6.543783, 7.3198743, 8.208954, 9.210786, 9.099913, 8.954079, 8.804007, 8.693145, 8.623193, 8.556038, 8.876218, 9.138374, 8.148658, 7.099699, 6.0718307, 5.100992, 4.129689, 3.9942987, 3.8009398, 3.624422, 3.4722333, 3.3376255, 3.2986789, 3.2992032, 3.3310707, 3.4563265, 3.6208684, 3.8843584, 4.190149, 4.5374537, 4.721738, 4.808532, 5.0835857, 5.289946, 5.5402737, 4.530626, 4.5550117, 4.5819273, 4.6101513, 4.6420856, 4.679531, 4.7193103, 4.911921, 5.061891, 5.1883163, 5.3677993, 5.6763306, 5.877058, 6.134364, 6.3814907, 6.5707164, 6.7839837, 6.9673195, 7.1745186, 7.2290273, 7.2673507, 7.291803, 7.2587037, 7.2810063, 7.257484, 7.220879, 7.1138015, 7.163694, 7.376905, 7.523606, 7.4988036, 7.4161487, 7.3775725, 7.2487636, 7.226311, 7.279642, 7.392483, 7.407754, 7.3092794, 7.279215, 7.1217155, 7.048933, 7.083999, 6.997232, 6.9052606, 6.8374896, 6.789288, 6.590544, 6.437134, 6.267211, 6.3517385, 6.340667, 6.0980797, 5.9023986, 5.878597, 5.9545236, 6.012397, 6.03317, 6.10657, 6.1002116, 6.3898673, 6.6522746, 6.748729, 6.8142667, 6.9216385, 6.93577, 6.780957, 6.620173, 6.450317, 6.312548, 6.186457, 6.044271, 5.9385853, 5.85027, 4.236154, 4.1180735, 4.056698, 3.9923813, 3.6982749, 3.5545225, 3.2251253, 2.8685303, 2.9260852, 2.9309528, 3.0104754, 2.985871, 2.9066453, 2.8409092, 2.7959921, 2.6698534, 2.610544, 2.6973672, 2.6477163, 2.655631, 2.6114402, 2.619139, 2.5392914, 2.5171273, 2.4723425, 2.3824866, 2.3453832, 2.2373216, 2.0752983, 1.9991851, 2.0211134, 1.9054866, 1.8102882, 1.7207941, 1.7053117, 1.6036687, 1.5928543, 1.5693843, 1.5742378, 1.5824176, 1.6105692, 1.6541045, 1.6827742, 1.703204, 1.7003255, 1.6567594, 1.7999947, 1.7589532, 1.6144806, 1.4392904, 1.4267964, 1.4141414, 1.4467872, 1.4976512, 1.5476024, 1.5389906, 1.5189837, 1.5061042, 1.6090022, 1.7216308, 1.8862803, 2.048302, 2.195733, 2.3416417, 2.5335665, 2.7705512, 2.921106, 3.3310266, 3.5817604, 3.7313547, 3.9519365, 3.9971187, 4.0496407, 4.114305, 5.906481, 5.778491, 5.6514916, 5.5172415, 5.4855447, 5.3046594, 5.1603904, 5.102041, 4.9701786, 4.970949, 4.882689, 4.7297297, 4.676259, 4.633431, 4.605642, 4.5246277, 4.703367, 4.7196, 4.7729917, 4.8751483, 5.250305, 5.174353, 4.8076925, 4.429195, 4.6446557, 4.407556, 4.0429564, 3.6505866, 3.5566096, 3.1400967, 3.1513789, 2.9229903, 2.4683545, 2.3186681, 2.050114, 1.780586, 1.6328828, 1.557992, 1.4167651, 1.384708, 1.3317192, 1.5011547, 1.335762, 1.4671361, 1.67727, 1.511335, 1.5923567, 1.7088175, 1.7717931, 1.9471489, 2.0422056, 2.1097047, 2.255639, 2.3616736, 2.6404874, 2.7795327, 2.8215225, 2.9813664, 3.044776, 3.2182562, 3.3480735, 3.3937976, 3.3408833, 3.1980321, 3.3088236, 3.4177964, 3.5472975, 3.3720288, 3.3757608, 3.5058432, 3.653738, 3.7414963, 3.7270644, 3.6123853, 6.2303276, 6.256157, 6.280671, 6.3043585, 6.3254223, 6.3464394, 6.362298, 6.375962, 6.386932, 6.3933597, 6.3976927, 6.402128, 6.4097896, 6.4212193, 6.436512, 6.4440207, 6.4478145, 6.4487495, 6.443552, 6.427966, 6.387235, 6.414505, 6.438495, 6.449084, 6.452428, 6.5136604, 6.5782843, 6.6367693, 6.691786, 6.7317195, 6.720041, 6.7085733, 6.7701473, 6.853389, 6.9457955, 7.03176, 7.1086555, 7.193128, 7.206788, 7.16353, 7.0983996, 6.9460893, 6.962216, 6.9783053, 7.080213, 7.373468, 7.4446173, 7.5835476, 7.6180515, 7.508824, 7.4043593, 7.413092, 7.30308, 7.3010473, 7.308247, 7.085506, 6.819738, 6.841539, 6.7608743, 6.668324, 6.5487833, 6.2392287, 5.9390216, 5.745597, 5.520989, 5.376141, 5.275526, 5.1695733, 5.034383, 4.912979, 4.7696805, 4.648966, 4.537907, 4.466924, 4.8657794, 4.901582, 4.898963, 4.873074, 4.8315225, 4.7684593, 4.6758018, 4.543423, 4.423762, 4.311578, 4.292589, 4.168915, 4.2268386, 4.3063364, 4.23931, 3.9835587, 3.8241372, 3.563077, 3.281042, 3.0309749, 2.8519228, 2.3993292, 2.1985629, 1.9013952, 1.6019102, 1.3612384, 1.1507751, 1.0098162, 0.8757444, 0.87969506, 0.9104704, 0.874847, 0.7662424, 0.6837416, 0.7128376, 0.70111656, 0.85268235, 1.0610497, 1.2379875, 1.4922526, 1.4951419, 1.4562713, 1.5178376, 1.6145641, 1.6375247, 1.6887347, 1.8476198, 1.9630257, 2.0698524, 2.0936406, 2.2096426, 2.2971005, 2.1150665, 2.330569, 2.4271727, 2.4134035, 2.4100652, 2.3456647, 2.3328533, 2.4304776, 2.3849168, 2.5764716, 2.7021503, 2.9428496, 2.9276032, 3.1071548, 3.139687, 3.3230557, 3.3040018, 3.6142294, 3.6932483, 3.9056678, 4.033829, 4.0065722, 7.1428576, 6.779661, 6.557377, 4.7619047, 4.6153846, 4.477612, 4.4117646, 4.2857146, 4.166667, 5.4054055, 5.194805, 4.819277, 4.3956046, 4, 3.6363635, 3.305785, 3.0075188, 2.7586207, 1.9108281, 1.7751479, 2.793296, 2.6455026, 2.0100503, 1.8957347, 1.3100437, 0.80645156, 0.74626863, 0.6944445, 0.64935064, 0.6134969, 0.5813953, 0.56179774, 0.5319149, 0.49140048, 0.6896552, 0.8639309, 0.80808085, 0.7619048, 0.72859746, 1.0544815, 1.1986301, 1.3071896, 1.6923077, 2.0926757, 2.4926686, 2.6162791, 2.6548672, 3.058104, 3.2, 3.0927835, 3.3333335, 3.5928144, 3.4042552, 3.5714288, 4.1474657, 4.157044, 4.279279, 4.282116, 4.367816, 4.1860466, 4.112554, 4.646465, 4.868154, 4.5267487, 4.2194095, 4.1394334, 4.0816326, 3.9906104, 3.8554218, 3.9506176, 4, 4.0609136, 4.639175, 4.6153846, 4.658583, 4.467252, 4.259691, 4.278495, 4.068875, 3.7862723, 2.9386952, 2.2765079, 1.8133379, 1.7838655, 2.241222, 2.3777556, 2.667366, 2.6142735, 2.6033034, 2.4888475, 2.2625442, 2.0805125, 1.9586824, 1.7591512, 1.6453472, 1.5365504, 1.381785, 1.279192, 1.0813731, 0.942793, 0.85698926, 0.7813825, 0.7150021, 0.62392235, 0.6406694, 0.60414237, 0.5678885, 0.5293292, 0.5222276, 0.48967898, 0.49383003, 0.5237042, 0.5515352, 0.6035482, 0.6792691, 0.76835257, 0.87159723, 0.8971259, 0.9328132, 0.9966506, 0.97503054, 1.0326115, 1.0664666, 1.0691172, 1.1131591, 1.1843209, 1.1882944, 1.2147942, 1.33639, 1.3296796, 1.3475441, 1.4407743, 1.4450364, 1.6096283, 1.7446183, 1.903773, 2.014003, 2.1991649, 2.4795983, 2.709027, 2.7755527, 2.899677, 3.0296717, 3.2373912, 3.38316, 3.4113522, 3.4765136, 3.5392475, 7.0178533, 6.5940022, 6.4900026, 5.7218156, 5.2821093, 4.9254227, 3.9273713, 3.1357872, 2.7691884, 2.478858, 2.6738155, 2.9018607, 3.011242, 3.1325703, 2.9461308, 2.8233063, 2.8752894, 2.916477, 2.8443928, 2.655982, 2.475142, 2.424512, 2.1440535, 2.1021216, 1.8949953, 1.6983112, 1.4811602, 1.4229789, 1.1882749, 1.1649094, 1.0770763, 1.1340207, 1.0238558, 1.008688, 0.95611763, 0.83352625, 0.77151334, 0.778804, 0.84310997, 0.90940136, 0.98065555, 1.0785539, 1.0821323, 1.0573713, 1.0006189, 1.0909283, 1.1626667, 1.1738124, 1.3237604, 1.3339441, 1.3484387, 1.3719863, 1.5227845, 1.6271422, 1.8200034, 1.8786844, 1.9642009, 2.119092, 2.0372658, 2.0092452, 2.0158226, 2.1256301, 2.433035, 2.5718465, 2.6738977, 3.063542, 3.4032955, 3.6031153, 3.6959305, 4.0486465, 4.1001177, 3.9692767, 4.0244436, 4.055413, 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