netcdf 2000output18 {
dimensions:
        longitude = 33 ;
        latitude = 7 ;
        levelist = 9 ;
        time = UNLIMITED ; // (5 currently)
variables:
        float longitude(longitude) ;
                longitude:units = "degrees_east" ;
                longitude:long_name = "longitude" ;
        float latitude(latitude) ;
                latitude:units = "degrees_north" ;
                latitude:long_name = "latitude" ;
        int levelist(levelist) ;
                levelist:units = "millibars" ;
                levelist:long_name = "pressure_level" ;
        int time(time) ;
                time:units = "hours since 1900-01-01 00:00:0.0" ;
                time:long_name = "time" ;
        short u(time, levelist, latitude, longitude) ;
                u:scale_factor = 0.00156702166081552 ;
                u:add_offset = -7.48829187517644 ;
                u:_FillValue = -32767s ;
                u:missing_value = -32767s ;
                u:units = "m s**-1" ;
                u:long_name = "U velocity" ;
        short v(time, levelist, latitude, longitude) ;
                v:scale_factor = 0.000709343922849119 ;
                v:add_offset = -2.06730632878613 ;
                v:_FillValue = -32767s ;
                v:missing_value = -32767s ;
                v:units = "m s**-1" ;
                v:long_name = "V velocity" ;

// global attributes:
                :Conventions = "CF-1.0" ;
                :history = "2006-01-13 14:29:25 GMT by mars2netcdf-0.92" ;
data:

 longitude = 0, 2.5, 5, 7.5, 10, 12.5, 15, 17.5, 20, 22.5, 25, 27.5, 30,
    32.5, 35, 37.5, 40, 42.5, 45, 47.5, 50, 52.5, 55, 57.5, 60, 62.5, 65,
    67.5, 70, 72.5, 75, 77.5, 80 ;

 latitude = 15, 12.5, 10, 7.5, 5, 2.5, 0 ;

 levelist = 1, 2, 3, 5, 7, 10, 20, 30, 50 ;

 time = 878490, 878514, 878538, 878562, 878586 ;

 u =
  17072, 13578, 12159, 11823, 12077, 12603, 12852, 13062, 12994, 12311,
    11302, 10504, 10412, 11476, 13715, 16345, 18491, 20453, 23529, 27450,
    30601, 32039, 31762, 31493, 32278, 32316, 30758, 29177, 28427, 27639,
    26617, 26358, 27136,
  11867, 10222, 9883, 9998, 10190, 10165, 10516, 11641, 12860, 13588, 13246,
    12541, 12860, 14530, 16880, 18915, 20380, 21953, 24466, 27300, 29265,
    30334, 30843, 31625, 32767, 32757, 31411, 30170, 29631, 29606, 30100,
    30262, 30000,
  8133, 8318, 8315, 7996, 7705, 7575, 8742, 11120, 13630, 15701, 16148,
    15956, 16706, 17760, 18441, 19014, 19984, 21176, 22567, 24174, 25575,
    26720, 27542, 28300, 29290, 30090, 30272, 30145, 30194, 30147, 29462,
    28068, 27724,
  6578, 6461, 6127, 5977, 6396, 7261, 9083, 11945, 14941, 17207, 18010,
    18735, 19585, 19166, 18344, 18289, 18633, 18713, 19072, 19981, 20662,
    21113, 21746, 22803, 24209, 25476, 26196, 26179, 25393, 24107, 23165,
    23357, 24837,
  4676, 4479, 4853, 5254, 6256, 8051, 10217, 12755, 14956, 16519, 17638,
    18720, 19121, 18725, 18573, 18057, 16616, 15283, 14924, 14901, 14732,
    15298, 16718, 17992, 18416, 18269, 18379, 18571, 18182, 17843, 18533,
    20034, 20884,
  2938, 3377, 4240, 4865, 6428, 9118, 11658, 13657, 14861, 16073, 17030,
    16898, 17010, 18516, 19246, 16871, 13563, 12114, 11760, 11082, 10634,
    11269, 12296, 12453, 11690, 11239, 11880, 12890, 13588, 14438, 15370,
    15878, 15564,
  2245, 2928, 3599, 4105, 5820, 8754, 11720, 14153, 15764, 16935, 16524,
    14876, 15524, 17940, 17374, 13328, 10073, 9150, 8722, 8156, 7834, 7523,
    7206, 7111, 7336, 7929, 8567, 9120, 9766, 10364, 10564, 10499, 10222,
  4039, 4061, 3179, 3293, 4647, 5751, 6280, 6928, 7980, 8533, 7950, 7192,
    7583, 8149, 6444, 4051, 4295, 6120, 7038, 6504, 5076, 4280, 4642, 4171,
    3637, 5848, 8157, 6955, 3498, 636, -1792, -5509, -7274,
  2618, 1095, 30, 1464, 4490, 6816, 7977, 8384, 8137, 7185, 6320, 6499, 6978,
    6469, 4744, 3301, 3587, 5071, 6813, 7688, 6464, 4213, 2932, 2867, 4338,
    6870, 8070, 7419, 5031, 504, -4576, -7598, -7508,
  -411, -1463, -334, 2558, 5993, 8478, 9391, 8688, 6873, 4919, 4380, 5270,
    5450, 5163, 5320, 4714, 3727, 4622, 7030, 7643, 5714, 3949, 3904, 5158,
    6935, 8526, 9438, 8531, 4263, -1755, -5087, -4422, -3843,
  -4751, -2500, 1404, 4742, 7561, 9181, 8805, 6913, 4834, 3176, 2710, 3448,
    4084, 4934, 5155, 3420, 2324, 4084, 6207, 6093, 5843, 7000, 7279, 6302,
    5903, 6998, 8546, 7329, 3154, -137, -319, 1329, 766,
  -6523, -2183, 1556, 3528, 5093, 5886, 5706, 4712, 3495, 2334, 1875, 2416,
    2688, 2157, 733, -281, 963, 3296, 4624, 5101, 6182, 6796, 4654, 1850,
    1897, 4784, 7975, 8598, 7050, 5452, 4335, 3971, 2458,
  -6506, -2876, -820, -239, 369, 920, 1586, 1613, 1284, 763, 434, 1167, 1057,
    -1298, -3462, -2679, -212, 1366, 2197, 2929, 3089, 2371, 467, -1490,
    -655, 2967, 6935, 8952, 8007, 5602, 3777, 2822, 988,
  -8159, -5571, -3986, -3318, -2674, -1827, -1488, -2276, -2171, -1495, -979,
    389, 295, -2829, -5327, -4606, -2565, -964, -82, 23, -32, 818, 462,
    -2580, -3607, -984, 2361, 4425, 3879, 2698, 2835, 2797, 1533,
  -4582, -4385, -4016, -3750, -3672, -3236, -2296, -1975, -3500, -5587,
    -5856, -4340, -2982, -3293, -4542, -4794, -4308, -4208, -4400, -4884,
    -5355, -5240, -5430, -7466, -10468, -12085, -12826, -14214, -15555,
    -16438, -17355, -17166, -15002,
  -9102, -9336, -8810, -7965, -6798, -5911, -5801, -7028, -9269, -10363,
    -9027, -6746, -5542, -6013, -7237, -7691, -7332, -7070, -7411, -8428,
    -9179, -8932, -8870, -10577, -13212, -14947, -16346, -18148, -19494,
    -20548, -21630, -21376, -19830,
  -13088, -12963, -12178, -10991, -9618, -9154, -9867, -11410, -12771,
    -12651, -10894, -8860, -7828, -8172, -9585, -10891, -11223, -10894,
    -11004, -11525, -11298, -10844, -11677, -13758, -15535, -17128, -19826,
    -22179, -22874, -22889, -22859, -23049, -23285,
  -16203, -15401, -14262, -13092, -12362, -12691, -13576, -14137, -14007,
    -13641, -12631, -10789, -9655, -10545, -12502, -13586, -13364, -12457,
    -11896, -11505, -11071, -12145, -14783, -17398, -18761, -20102, -22814,
    -24402, -23886, -22966, -22406, -23248, -24911,
  -18168, -16991, -15488, -14294, -13938, -14419, -15152, -15461, -15047,
    -14648, -13561, -11856, -11734, -13534, -14955, -14745, -13808, -12641,
    -11759, -11390, -12110, -14673, -17333, -19115, -20322, -21177, -22116,
    -22510, -22563, -22917, -23669, -25098, -26519,
  -19993, -18734, -17076, -15964, -15782, -15992, -16298, -16258, -15388,
    -14551, -13215, -12312, -13873, -16054, -16470, -15633, -14765, -13898,
    -13469, -13853, -14882, -16535, -18155, -19439, -20322, -20523, -20207,
    -20578, -22151, -23749, -25517, -27147, -27583,
  -19816, -18619, -17355, -16777, -16842, -16887, -17009, -16493, -14957,
    -13788, -12335, -11854, -14476, -17462, -18265, -17263, -15907, -15436,
    -15959, -16939, -17540, -18113, -19778, -20892, -20409, -20162, -20137,
    -20818, -22615, -23767, -24846, -26087, -26895,
  -8831, -8330, -8303, -8787, -9913, -10674, -10517, -9983, -9033, -7877,
    -7276, -7493, -8246, -8662, -7844, -6585, -6177, -6306, -6471, -6578,
    -6772, -7897, -9674, -10392, -10402, -11930, -14473, -15627, -15215,
    -15086, -15480, -14966, -15702,
  -13256, -12182, -12187, -13164, -14662, -15684, -15821, -14841, -13059,
    -12079, -12341, -12907, -13298, -13336, -12566, -11302, -10464, -10163,
    -10698, -12020, -13259, -14301, -14911, -15210, -16469, -18755, -20672,
    -21315, -20528, -19189, -18431, -18673, -20782,
  -15711, -15300, -16422, -17915, -19229, -19840, -19466, -18399, -17227,
    -16731, -17065, -17486, -17434, -17165, -16407, -14749, -13271, -13341,
    -15153, -17362, -18748, -19446, -19687, -20211, -21677, -23392, -24730,
    -25284, -23958, -21584, -21198, -23404, -26184,
  -17207, -18409, -20470, -21609, -22061, -22016, -21390, -20939, -20677,
    -20076, -19737, -20136, -20460, -19994, -18685, -17060, -16252, -17314,
    -19663, -21547, -22841, -23880, -24157, -24167, -24656, -25693, -26727,
    -26879, -25747, -24429, -25294, -27876, -29509,
  -18124, -20528, -22420, -22901, -23083, -23100, -22928, -22721, -22270,
    -21639, -21535, -22370, -22970, -22048, -20443, -19700, -20049, -21420,
    -23147, -24391, -25703, -26657, -26515, -26119, -26009, -26540, -27512,
    -27978, -27625, -27148, -27936, -29591, -30536,
  -18326, -21096, -22671, -22811, -23055, -23534, -24005, -23663, -23035,
    -22871, -23140, -24312, -24970, -23801, -22639, -22821, -23631, -24494,
    -25052, -25648, -26857, -27679, -27278, -26278, -25680, -26174, -27704,
    -29015, -28806, -28300, -29068, -30362, -31381,
  -19206, -21874, -23075, -22639, -22512, -23372, -24145, -23599, -23462,
    -23873, -24204, -25787, -26580, -25102, -24037, -24553, -25443, -25590,
    -25281, -25860, -27104, -27874, -26832, -24329, -23828, -25593, -27550,
    -28868, -28549, -28375, -29631, -30773, -31483,
  -1814, -2319, -2852, -3526, -4619, -5771, -6304, -6524, -6119, -4577,
    -3106, -2836, -3670, -4375, -3965, -3572, -3848, -3823, -3601, -3920,
    -4636, -5317, -5701, -5666, -5942, -7047, -7926, -8350, -8680, -8513,
    -8659, -10227, -13100,
  -6498, -7054, -7353, -7875, -8912, -9793, -10024, -9950, -9396, -8271,
    -7169, -7016, -8069, -9052, -9181, -8962, -8683, -8590, -9075, -9764,
    -10077, -10284, -10889, -11756, -12625, -13224, -13287, -13519, -14021,
    -13768, -13582, -15338, -18386,
  -10459, -11022, -11504, -11744, -12291, -12736, -12710, -12428, -11700,
    -10627, -9806, -10371, -12034, -13141, -13303, -12549, -11617, -11886,
    -12915, -13687, -14462, -15493, -16431, -17174, -17733, -17827, -17630,
    -17992, -18446, -18057, -18296, -20604, -23164,
  -12200, -13089, -13961, -13957, -14048, -14065, -13845, -13448, -12700,
    -11987, -11968, -13474, -15128, -15379, -15043, -14182, -13531, -14458,
    -15888, -17098, -18812, -20447, -20972, -20805, -20854, -21077, -21099,
    -21405, -21680, -21251, -21573, -23594, -25665,
  -12776, -13984, -14749, -14695, -14776, -14748, -14576, -14010, -13526,
    -13734, -14306, -15803, -16937, -16360, -15625, -15409, -15899, -17339,
    -18879, -20449, -22245, -23510, -23825, -23450, -23072, -23298, -23891,
    -24494, -24430, -23560, -23341, -24522, -26239,
  -13207, -14288, -15108, -15313, -15377, -15548, -15813, -15632, -15776,
    -16198, -16362, -17663, -18836, -18110, -17304, -17850, -19272, -20389,
    -20970, -21935, -23285, -24395, -24795, -24412, -24006, -24233, -25288,
    -26499, -26284, -25054, -24502, -25085, -26249,
  -13602, -14431, -15816, -16291, -16231, -16789, -17667, -18328, -19048,
    -18940, -18891, -20644, -21583, -20497, -20146, -21306, -22314, -22014,
    -21488, -21912, -22918, -24047, -24088, -23321, -23591, -24205, -25028,
    -26360, -26278, -25069, -24388, -24645, -25435,
  832, 98, 533, 1134, 1576, 1431, 464, -112, 32, -95, -567, -778, -596, -570,
    -978, -1557, -1865, -1616, -1814, -2945, -4156, -5021, -5477, -5983,
    -6641, -6853, -6577, -6310, -6607, -6911, -7135, -8887, -11643,
  -2032, -3255, -3337, -2927, -3257, -4351, -4863, -4554, -4695, -5223,
    -5095, -4854, -4938, -5254, -5700, -6017, -6508, -6977, -7565, -8593,
    -9489, -10244, -11052, -11934, -12507, -12542, -12508, -12227, -11977,
    -12342, -13316, -15481, -17689,
  -6847, -7879, -7626, -7037, -7733, -8528, -8439, -8077, -7978, -8122,
    -7941, -8071, -8668, -9293, -9964, -10179, -10556, -11454, -12264,
    -13006, -13650, -14424, -15477, -16464, -16949, -16889, -16560, -15726,
    -15336, -16714, -18746, -20417, -21194,
  -10627, -11062, -10520, -9897, -10425, -10735, -10953, -11112, -10624,
    -10570, -10686, -10975, -11658, -12389, -13317, -13669, -14052, -15174,
    -15668, -15723, -16502, -17633, -18450, -18961, -19031, -18745, -18837,
    -19033, -19119, -20069, -21389, -22410, -23028,
  -12816, -12533, -12395, -12308, -12563, -13055, -13880, -13973, -13505,
    -13717, -13732, -14003, -14702, -14961, -15558, -16356, -17092, -17698,
    -17379, -17298, -18627, -19873, -20066, -19954, -19883, -20270, -21612,
    -22464, -22029, -22058, -22835, -23788, -24608,
  -13969, -13603, -14322, -15103, -15026, -15270, -15958, -15895, -16006,
    -16439, -16584, -17562, -18217, -17598, -17662, -18568, -18918, -18458,
    -18187, -18786, -19487, -19736, -20145, -20872, -21245, -21770, -23045,
    -23577, -23204, -23572, -24308, -24894, -25018,
  -15027, -15210, -16308, -17228, -16844, -16922, -17697, -18118, -18874,
    -19565, -20449, -21910, -21654, -20247, -20011, -20137, -19481, -18827,
    -19274, -19533, -18552, -18296, -19837, -21855, -22603, -22178, -22209,
    -22504, -22653, -23078, -23548, -24101, -23832,
  6936, 7916, 7240, 5074, 3279, 2867, 4115, 5621, 5954, 5802, 5540, 5276,
    5088, 4573, 3865, 3555, 3373, 2033, 321, -291, -692, -1453, -2034, -2068,
    -1751, -1519, -1679, -2352, -2572, -2410, -2996, -3425, -3168,
  4449, 5332, 4597, 2159, 966, 2048, 3711, 3995, 3081, 2490, 2240, 2335,
    2613, 2255, 1096, -405, -1771, -3391, -4777, -5115, -4943, -4790, -4818,
    -4605, -4284, -4332, -4648, -5376, -5948, -6452, -7205, -6613, -5151,
  1886, 2302, 1567, -103, -225, 992, 1811, 1146, -417, -1023, -637, -57, 61,
    -592, -2060, -4294, -6110, -7110, -7710, -7685, -6881, -6147, -6130,
    -5965, -5782, -6117, -6735, -7880, -9242, -10184, -9657, -7177, -5303,
  -321, -533, -1371, -2030, -1219, -308, -444, -1719, -3370, -3754, -3120,
    -2611, -2893, -3720, -4820, -6693, -8278, -8659, -8865, -8959, -7946,
    -7011, -7112, -7071, -7149, -7603, -8055, -8938, -10294, -11283, -10341,
    -8039, -6965,
  -2316, -2809, -3253, -2878, -1913, -1514, -2147, -3561, -4691, -4740,
    -4457, -4358, -4963, -5913, -6470, -7518, -8637, -8854, -9147, -9355,
    -8206, -7274, -7629, -8038, -8617, -8899, -8563, -8738, -9768, -10781,
    -10400, -9191, -8397,
  -3466, -3881, -3861, -3163, -2926, -3248, -3724, -4341, -4676, -5013,
    -5610, -5595, -5829, -6794, -7502, -8090, -8378, -8541, -9158, -9239,
    -8238, -7792, -8341, -8627, -8834, -8852, -8530, -8705, -9571, -10357,
    -10087, -9221, -8384,
  -3688, -3511, -3674, -3900, -4695, -5359, -5032, -4587, -4735, -5721,
    -6971, -6851, -6430, -7189, -8261, -8757, -8660, -9172, -9892, -9634,
    -9313, -9426, -9329, -8383, -7440, -7772, -8616, -8928, -9101, -9270,
    -8762, -7971, -7410,
  4479, 5055, 6009, 7899, 9630, 9903, 9054, 8127, 7579, 6598, 6026, 6914,
    7429, 7498, 7867, 7776, 7763, 8083, 8209, 7798, 7084, 7000, 6963, 6175,
    5314, 4962, 4893, 4965, 4784, 3894, 3185, 2450, 2329,
  6832, 6805, 6912, 8845, 10749, 10595, 9361, 8978, 9767, 9618, 8441, 8384,
    8774, 9023, 9406, 9118, 8739, 8940, 9159, 8540, 7246, 6706, 6633, 6115,
    5636, 5405, 4890, 4430, 4511, 4307, 4242, 4000, 3123,
  9199, 9543, 10138, 11017, 11147, 10797, 10495, 10767, 11906, 12048, 11070,
    11211, 11423, 10634, 10019, 9709, 9946, 10555, 10472, 9208, 7341, 6628,
    6845, 6871, 7046, 6891, 5948, 5518, 6251, 6365, 5859, 5436, 4384,
  11057, 12255, 13524, 12855, 11309, 11373, 12289, 12519, 12412, 12135,
    12218, 13186, 13290, 12078, 11226, 11179, 11818, 11794, 10344, 8941,
    7798, 7213, 7280, 7453, 7914, 7737, 7048, 7191, 7975, 7590, 6190, 5705,
    5728,
  11324, 12880, 13717, 12264, 11172, 11930, 12830, 12255, 11097, 10940,
    11712, 12661, 13129, 12807, 12339, 12173, 12027, 10955, 9542, 9491, 9482,
    8826, 8289, 7953, 7941, 7389, 6947, 7241, 7655, 7466, 6436, 6413, 7301,
  9979, 11541, 12188, 11313, 10930, 11131, 11344, 10630, 9690, 10079, 10802,
    11275, 12049, 12104, 11581, 11175, 10147, 9096, 9185, 9877, 9897, 9593,
    9142, 8280, 7422, 6373, 6193, 6614, 6787, 6790, 6107, 6524, 7776,
  8700, 9978, 10793, 10737, 10216, 9420, 9205, 9044, 9148, 9937, 10348,
    10424, 10555, 10079, 9612, 9135, 7753, 7341, 8240, 8520, 8532, 8833,
    8474, 7475, 6295, 5153, 5176, 5466, 5399, 5412, 4950, 5743, 6992,
  5320, 5312, 5642, 5964, 5836, 5636, 6566, 8403, 8918, 8242, 7431, 5950,
    5022, 5240, 5616, 6094, 6425, 6758, 7171, 7866, 9097, 9606, 9408, 9461,
    9758, 10161, 10419, 10203, 9635, 9860, 11119, 12499, 13047,
  5706, 6294, 7543, 8302, 8414, 8740, 10255, 11699, 11296, 10439, 9767, 8209,
    7096, 6860, 6899, 7871, 9009, 9869, 10780, 11645, 12437, 12514, 12200,
    12232, 12648, 13162, 13492, 13558, 13219, 13709, 14997, 15531, 15361,
  10513, 10542, 10371, 10394, 10896, 11621, 12849, 13588, 13086, 12728,
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    15109, 15243, 15389, 15371, 15748, 16359, 16587, 16035, 16199, 17243,
    17466, 16881,
  14985, 14000, 12602, 12342, 12969, 13245, 13804, 14567, 14471, 13942,
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    15966, 16026, 16403, 16475, 16452, 17337, 17952, 17511, 16687, 16810,
    17560, 17351, 16127,
  15697, 14372, 13230, 12971, 13092, 12739, 12946, 13970, 13980, 13046,
    12394, 11911, 11833, 12508, 13076, 13608, 14425, 15356, 15887, 15454,
    15017, 15177, 15627, 15687, 15929, 16966, 16946, 15926, 15356, 15549,
    15723, 14877, 13426,
  14560, 13427, 12296, 11436, 11442, 11761, 11968, 12297, 11847, 11052,
    11186, 11486, 11459, 11761, 12140, 12824, 13764, 14375, 14463, 13738,
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    11862, 11148, 10177,
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    10550, 10400, 10233, 10450, 10611, 10153, 9607, 8795, 8125, 8019, 7643,
    7353,
  13678, 14291, 14279, 13324, 13252, 14286, 15044, 14416, 13172, 13155,
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    21206, 20513, 20266,
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    29078, 29086, 29283, 29846, 30213, 30327, 29594, 27864, 26349, 25618,
    25120, 24128, 23228,
  10647, 11140, 11798, 12845, 14555, 16238, 16074, 14336, 12811, 12599,
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    27735, 26269, 24524,
  7670, 7638, 9208, 11382, 12858, 13481, 13077, 12140, 11577, 12476, 14536,
    15872, 15680, 15361, 15971, 16218, 15959, 16283, 17048, 17946, 19045,
    21089, 23412, 24183, 23826, 23811, 24938, 26379, 26952, 26975, 26085,
    23961, 22139,
  4522, 4898, 7062, 8889, 9555, 9949, 10265, 10535, 11105, 13160, 15802,
    16597, 15909, 15889, 16403, 15311, 13456, 12783, 12816, 13062, 13917,
    15944, 17557, 17183, 17111, 18836, 21216, 22767, 22757, 22089, 21291,
    20466, 20428,
  2613, 3640, 5776, 7147, 7902, 8665, 9268, 9822, 10482, 12561, 15286, 15745,
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    12033, 12504, 14942, 17210, 18392, 18442, 17961, 17868, 18484, 19549,
  2967, 3293, 4701, 6379, 8304, 9807, 10270, 10121, 10098, 11818, 14550,
    14580, 11390, 8999, 9370, 9834, 8229, 5704, 4387, 5073, 7292, 9535, 9954,
    9134, 9864, 12474, 14610, 15558, 15702, 15186, 14690, 14575, 14815,
  400, 397, 2083, 4124, 5221, 5864, 6178, 7183, 9631, 11201, 10725, 9267,
    7627, 6540, 5498, 4363, 4722, 6116, 6193, 4588, 3668, 4757, 5498, 4483,
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  -1873, -592, 1624, 3900, 5824, 7041, 8000, 9110, 9970, 9935, 8656, 6086,
    4643, 6467, 8048, 7669, 8162, 8407, 6914, 6328, 8023, 9145, 6320, 1931,
    48, 248, 1031, 1395, 1021, 260, -171, 1113, 2681,
  -2856, -687, 1327, 3321, 5730, 6884, 7357, 7821, 7754, 7370, 6093, 4137,
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    -1395, 1492, 2716, 1793, 447, -1475, -3157, -1118, 3493,
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    12019, 12314,
  11805, 10509, 9965, 10832, 12120, 13106, 13824, 14709, 15670, 15964, 16100,
    15148, 13429, 13285, 14122, 14571, 13929, 13271, 13859, 14348, 14489,
    14689, 14877, 15130, 15088, 15073, 15209, 15587, 15983, 15674, 15056,
    14646, 14572,
  14464, 14135, 13480, 13621, 13766, 13624, 13702, 14345, 15140, 15471,
    15818, 15157, 13894, 14054, 14937, 15413, 15340, 15721, 16589, 16635,
    16378, 15995, 15569, 15469, 15162, 15383, 16228, 16998, 17547, 17265,
    16518, 16136, 15731,
  15044, 15140, 14183, 13263, 12513, 12479, 13109, 13865, 14009, 13272,
    12967, 12892, 12810, 13392, 14176, 14844, 15554, 16348, 16551, 15952,
    15300, 14571, 14131, 14007, 13636, 14113, 15402, 16140, 16403, 16291,
    15407, 14435, 13885,
  14699, 14329, 12990, 11614, 10818, 11172, 12148, 12874, 12417, 11047,
    10400, 10631, 11329, 12166, 12837, 13484, 14290, 14870, 14537, 13813,
    13260, 12658, 12097, 11558, 11343, 12204, 13464, 13716, 13256, 12907,
    11958, 10759, 10471,
  13038, 12041, 10893, 9777, 9059, 9130, 10051, 11086, 10556, 9215, 8839,
    9432, 10385, 10858, 11187, 11783, 12484, 12750, 11790, 10575, 9954, 9557,
    8952, 8268, 8466, 9639, 10519, 10274, 9568, 8994, 7939, 7025, 7102,
  11426, 13343, 14233, 14043, 13786, 13285, 12218, 11648, 12084, 12769,
    13627, 14669, 15601, 16800, 17917, 18346, 18869, 20480, 23094, 25268,
    24847, 21940, 19961, 20327, 20559, 19634, 19086, 19764, 20696, 20574,
    19654, 18872, 17713,
  10623, 12064, 12470, 12640, 13083, 13475, 13724, 14098, 14836, 15629,
    16130, 16494, 16808, 17077, 17147, 17356, 18333, 20190, 22853, 25151,
    25632, 24618, 23633, 23538, 23381, 22314, 21429, 21614, 22205, 22544,
    22568, 22057, 20447,
  10887, 11528, 11256, 11343, 12054, 13009, 14395, 15783, 16758, 16965,
    16232, 15823, 15895, 15476, 15073, 15736, 17189, 18597, 20253, 22274,
    24104, 25293, 25545, 25575, 25762, 25283, 23982, 22773, 22688, 23481,
    23603, 22568, 21008,
  11710, 11680, 11304, 11333, 12059, 13268, 14913, 16369, 17274, 17062,
    15474, 14776, 15182, 14691, 13946, 14330, 15180, 15541, 16222, 18239,
    21247, 23982, 25348, 25737, 25911, 25620, 24161, 22237, 21771, 22466,
    22568, 22110, 21748,
  12570, 12824, 13029, 13101, 13228, 13196, 13537, 14447, 15464, 15893,
    15045, 14355, 14397, 13587, 11874, 10852, 11012, 11690, 13260, 16112,
    19320, 21574, 22105, 21369, 20577, 20330, 19724, 18725, 18989, 20457,
    22112, 23426, 23720,
  13769, 14609, 13904, 12959, 12278, 10653, 9855, 11338, 13218, 14487, 14826,
    13702, 11802, 9982, 8178, 7377, 8596, 10875, 13530, 16252, 18256, 18545,
    16840, 14714, 13744, 14026, 14731, 15469, 16718, 18717, 21170, 22618,
    22249,
  15285, 15282, 12046, 9803, 9102, 7746, 7806, 10344, 12266, 13138, 13829,
    12652, 9646, 7280, 6266, 6949, 9309, 11461, 12488, 12969, 13594, 13455,
    11513, 9651, 9232, 9686, 11067, 12896, 14051, 15207, 16940, 17563, 17044,
  1669, 2003, 3168, 4935, 6077, 6493, 5815, 4085, 3008, 3195, 3255, 2687,
    1605, -749, -2793, -2252, -277, 1463, 1625, 9, -474, 1079, 2365, 2263,
    1929, 2971, 4407, 4337, 3407, 3272, 3589, 2624, 1974,
  3347, 3634, 4868, 6476, 6675, 5451, 3930, 2986, 2537, 2098, 1572, 635,
    -596, -1646, -1653, -238, 1136, 1418, 9, -2334, -2720, -1205, 22, 426,
    627, 1278, 1323, 266, -305, 104, 408, 401, 1674,
  2088, 2597, 4102, 5847, 5693, 4227, 3559, 3561, 1976, -601, -1329, -1172,
    -1514, -1571, -701, 857, 1390, 809, 351, -410, -1302, -1489, -1354,
    -1820, -2421, -2262, -2229, -2389, -1746, -208, 1714, 3340, 4766,
  -108, 600, 1787, 3173, 2998, 1996, 1964, 1894, -955, -4296, -3937, -2441,
    -2663, -3386, -2922, -916, 665, 1433, 2719, 3140, 1353, -1265, -3466,
    -5141, -5532, -4670, -3633, -1960, 563, 3557, 6391, 7520, 7660,
  -786, -1349, -1835, -1803, -2319, -2628, -1569, -562, -2897, -6208, -6101,
    -5111, -5714, -6205, -4697, -1397, 1223, 2108, 2278, 1794, 84, -2279,
    -4248, -5221, -4936, -4266, -3461, -990, 2771, 6139, 8188, 8861, 9641,
  -1429, -4101, -5335, -5530, -5811, -4697, -2209, -771, -3082, -6744, -7968,
    -7713, -7217, -6233, -4223, -1506, 154, 129, -327, -754, -2002, -3378,
    -3578, -2932, -2229, -1888, -1230, 1096, 4770, 8053, 9948, 11324, 12740,
  -3643, -6532, -6537, -6320, -6908, -5634, -3678, -3324, -4809, -6584,
    -7711, -7883, -6736, -5517, -4725, -3884, -3436, -3456, -2970, -2695,
    -4149, -5440, -4363, -1781, 106, 540, 1286, 3549, 6331, 8290, 9370,
    10486, 11386,
  -6704, -7402, -7846, -8686, -9426, -9676, -9947, -9471, -8407, -8422,
    -9932, -12084, -13938, -14983, -14883, -13916, -13200, -13455, -14322,
    -14995, -14778, -13547, -12380, -11682, -10271, -8105, -5979, -4039,
    -2426, -1105, -126, -193, -238,
  -10715, -11941, -12507, -13198, -13861, -13963, -13597, -12535, -11732,
    -12046, -13131, -14978, -16867, -17645, -17271, -16825, -17443, -18809,
    -19579, -19148, -18241, -17358, -16688, -16501, -15952, -14282, -12021,
    -9922, -8048, -6186, -4568, -3650, -2795,
  -14477, -15142, -15444, -15898, -16655, -16685, -15975, -15681, -15596,
    -14621, -13843, -15080, -17129, -17994, -17765, -17994, -19450, -20973,
    -21294, -20731, -20709, -21197, -21222, -21003, -20247, -18158, -15414,
    -13173, -11398, -9718, -8150, -6617, -4682,
  -17097, -17637, -18475, -19253, -20028, -20125, -19412, -19395, -19066,
    -16930, -15362, -16371, -18166, -18453, -17371, -16902, -17869, -19340,
    -20524, -21374, -22541, -23702, -23902, -23132, -21417, -18924, -16189,
    -13913, -12605, -11784, -10251, -7609, -4608,
  -20175, -21115, -22042, -22344, -21803, -21127, -20679, -21152, -21232,
    -19697, -18470, -18814, -19547, -18899, -17072, -16329, -17229, -18814,
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    -14280, -12961, -12295, -10541, -7786, -5737,
  -22785, -23007, -22638, -22224, -20925, -19998, -20549, -22070, -22631,
    -21898, -21357, -20736, -19706, -18500, -17508, -17812, -18976, -20013,
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    -14018, -12163, -11139, -10112, -8559, -7604,
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    -22042, -23157, -24393, -24400, -22359, -19500, -17456, -16082, -14731,
    -13308, -11692, -10785, -10199, -8711, -7472,
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    -11876, -12572, -13117, -13250, -13060, -12524, -12330, -12626, -13177,
    -13643, -12948, -11263, -9849, -8845, -7551, -6200, -5564, -5365, -4430,
    -2226, -409, 413, 2595, 5092,
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    -17697, -17707, -17669, -17440, -17470, -17702, -17791, -17363, -17004,
    -17081, -16764, -16079, -15588, -15029, -14047, -13197, -12534, -11071,
    -8603, -5988, -4056, -1853, 1328, 3175,
  -23166, -23896, -24452, -24898, -24342, -23295, -23423, -23615, -22341,
    -20591, -20199, -20606, -20431, -20007, -20267, -20785, -20327, -19786,
    -20192, -20501, -20027, -19190, -18450, -17946, -17594, -16480, -13962,
    -10909, -8232, -5993, -3672, -1663, -1087,
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    -22363, -21872, -22376, -21934, -21134, -21638, -23181, -23630, -23121,
    -22966, -22887, -22433, -21670, -20770, -20070, -19427, -17607, -14558,
    -11781, -9949, -8501, -6935, -5861, -5843,
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    -24203, -23283, -23133, -22485, -22258, -23438, -25364, -26072, -25332,
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    -25369, -24121, -23388, -22847, -23121, -24238, -25554, -26082, -25708,
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    -14680, -15174, -15229, -14628, -14199, -13713,
  -27374, -26731, -26045, -25913, -26441, -26940, -27197, -27518, -27067,
    -25781, -24215, -22538, -21782, -22281, -23395, -24529, -25143, -25175,
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    -15872, -17044, -17540, -17450, -17570, -17408,
  -8614, -7859, -7749, -7974, -7834, -7670, -7607, -7919, -8702, -9482,
    -9711, -8946, -7353, -5725, -5002, -5571, -6680, -7169, -6623, -5491,
    -4601, -4155, -3257, -1590, -64, 414, -196, -939, -797, 424, 1873, 4081,
    7392,
  -12581, -12571, -12994, -13563, -13490, -13216, -13139, -13443, -14126,
    -14732, -15016, -14458, -12934, -11379, -10701, -11055, -11663, -11828,
    -11703, -11294, -10457, -9452, -8201, -6708, -5618, -5429, -5626, -4868,
    -3076, -1321, -27, 1631, 3495,
  -16791, -17392, -17372, -17559, -17451, -17185, -17414, -17933, -18406,
    -18743, -19221, -19196, -17748, -15704, -14642, -14739, -14869, -14829,
    -15081, -14929, -13809, -12458, -11075, -9624, -8846, -8814, -8390,
    -6695, -4868, -4130, -3721, -2547, -1360,
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    -20652, -20894, -20874, -19301, -17122, -16267, -16798, -17082, -16729,
    -16472, -16232, -15507, -14266, -12523, -11010, -10751, -10908, -10172,
    -8856, -8019, -7523, -6536, -5254, -4801,
  -22420, -22861, -22115, -21537, -21664, -21634, -22041, -22681, -22155,
    -21288, -21223, -20777, -19271, -17633, -17152, -18032, -18678, -18152,
    -17449, -17314, -16801, -15016, -12693, -11581, -12192, -12695, -11977,
    -11008, -10282, -9108, -7792, -7508, -8460,
  -23282, -23257, -22477, -21911, -22135, -22295, -22532, -22766, -22066,
    -21153, -20423, -19216, -18062, -17259, -16910, -17554, -18301, -18222,
    -17957, -17770, -16589, -14301, -12590, -12688, -13575, -13503, -12583,
    -11855, -11434, -10968, -11100, -12249, -13747,
  -22387, -21953, -21841, -21869, -21612, -21250, -21203, -21188, -20784,
    -20161, -18895, -17259, -16599, -16492, -16198, -16330, -16761, -17082,
    -17374, -17080, -15692, -13787, -12703, -13024, -13288, -12588, -12097,
    -12546, -13518, -14415, -15649, -17352, -18758,
  -3639, -3800, -3812, -3850, -4060, -4303, -4246, -5050, -6996, -8557,
    -8741, -7846, -6827, -5934, -5525, -5800, -5802, -5344, -4765, -3900,
    -3112, -2703, -2001, -919, -223, 253, 844, 629, -268, 354, 1968, 1828,
    1146,
  -8884, -9133, -8987, -8838, -8737, -9103, -9677, -10555, -11832, -12837,
    -13289, -13053, -12500, -12062, -11656, -11260, -10871, -10456, -9993,
    -9454, -8837, -8079, -7007, -5764, -4595, -3777, -3709, -3910, -3523,
    -2825, -3168, -4033, -3259,
  -12945, -13183, -12857, -12862, -12749, -13052, -13633, -13825, -14356,
    -15632, -17134, -17904, -17554, -16603, -15594, -14819, -14237, -13594,
    -13073, -12741, -12162, -11309, -10064, -8246, -6559, -6025, -6435,
    -6477, -6250, -6759, -7763, -7798, -6477,
  -15810, -15768, -14915, -15045, -15489, -15977, -16249, -15744, -15869,
    -17424, -19298, -20316, -19784, -18020, -16589, -16083, -15563, -14843,
    -14776, -15138, -14746, -13443, -11645, -9880, -9010, -9235, -9801,
    -9947, -9733, -9544, -9733, -9884, -9517,
  -17273, -17318, -16568, -16861, -17686, -18256, -18364, -17772, -17652,
    -18935, -20602, -21495, -20895, -18906, -17469, -17462, -17465, -16987,
    -16866, -17105, -16604, -14830, -12786, -11854, -12141, -12692, -12847,
    -12490, -11632, -10964, -11483, -12401, -12722,
  -17994, -17993, -17540, -17939, -18667, -19152, -19587, -19617, -19448,
    -20126, -21141, -21206, -20244, -18795, -17933, -18204, -18593, -18384,
    -17824, -17201, -16278, -14818, -13756, -13650, -13760, -13952, -14329,
    -14418, -14114, -14180, -15000, -15704, -16155,
  -17528, -17214, -17201, -17924, -18509, -18983, -19777, -20141, -19827,
    -19922, -20089, -19360, -18631, -18333, -17905, -17768, -18012, -17985,
    -17404, -16564, -15816, -15087, -14743, -14606, -14078, -14245, -15702,
    -17242, -17873, -17903, -18167, -18653, -19303,
  3585, 3949, 4391, 4039, 2598, 2010, 2119, 1570, 992, 682, -7, -1261, -2216,
    -2519, -2723, -2610, -2708, -3473, -3809, -3627, -3203, -2380, -1603,
    -1105, -804, -346, 238, 896, 2287, 3420, 2887, 1971, 1884,
  1016, 1105, 1153, 483, -784, -812, -385, -1006, -1904, -2884, -3831, -4235,
    -4422, -4748, -5218, -5618, -5939, -6219, -6510, -6925, -6743, -5827,
    -4720, -3463, -2474, -1979, -1832, -1454, -507, 7, -136, -376, -640,
  -1199, -920, -1287, -2181, -2583, -2431, -2516, -3274, -4565, -5990, -6446,
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    -3187, -3252,
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    -8002, -7256, -7151, -7805, -8655, -8804, -8287, -8095, -8131, -8211,
    -8227, -7990, -7662, -6835, -6036, -6404, -7218, -6829, -5956, -5868,
    -5607, -5048, -4221,
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    -7174, -5684, -4676,
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    -8921, -9409, -9931, -9573, -9260, -9368, -8883, -7967, -8102, -9163,
    -9206, -8322, -6989,
  5010, 4746, 4663, 5132, 6431, 6461, 5412, 5674, 6518, 6689, 5950, 5401,
    5857, 6280, 6285, 6292, 6707, 7299, 7513, 7085, 5862, 4994, 5282, 5988,
    6906, 7773, 7692, 6704, 5244, 3929, 4274, 5465, 5324,
  6110, 6215, 6773, 7353, 7996, 7818, 6975, 6791, 7053, 7187, 6721, 6499,
    6893, 6633, 5753, 5237, 5730, 6950, 8057, 8254, 7195, 6061, 5818, 6138,
    6807, 7545, 7635, 6952, 5349, 3488, 4111, 5814, 5202,
  8962, 9012, 9253, 9639, 9436, 9299, 9401, 9019, 8568, 8568, 8326, 8228,
    8076, 6855, 5583, 5545, 6760, 8162, 8723, 8688, 8379, 7495, 6463, 6203,
    6451, 6982, 7899, 8199, 6403, 3792, 4358, 6439, 5993,
  12511, 11413, 10738, 11080, 10563, 10351, 10917, 11140, 11115, 10499, 9360,
    8976, 8487, 7025, 6276, 6988, 8091, 8572, 8528, 8859, 9096, 7939, 6504,
    6309, 6568, 7268, 8626, 8776, 6782, 4957, 6041, 7951, 7819,
  12656, 11253, 11133, 12001, 11386, 10936, 11526, 12051, 11926, 10468, 8920,
    8599, 8213, 7267, 7044, 7772, 8284, 8237, 8688, 9609, 9299, 7667, 6609,
    6501, 6600, 7321, 8312, 7984, 6685, 6459, 7692, 8730, 8728,
  10347, 9909, 10247, 11037, 10472, 10437, 11360, 11319, 10449, 9375, 8561,
    7850, 7164, 6906, 6949, 7569, 8371, 8608, 9005, 9304, 8228, 6869, 6443,
    6195, 6150, 6731, 7357, 7265, 6874, 7297, 8010, 8356, 8479,
  8714, 8587, 8283, 8841, 8743, 9180, 9878, 8970, 8283, 8368, 7626, 6008,
    5375, 6051, 6520, 7180, 8154, 8238, 7789, 7361, 6574, 6048, 6018, 5800,
    5710, 5895, 6246, 6484, 6577, 7081, 7454, 7736, 8021,
  3132, 3511, 4955, 6528, 6978, 7263, 8331, 9366, 9904, 10258, 10843, 10671,
    9151, 7516, 6705, 6458, 6166, 6046, 6474, 7811, 9671, 10597, 10588,
    10633, 10985, 11037, 10532, 9945, 9838, 10533, 10340, 9273, 9988,
  7125, 7425, 8410, 9698, 10113, 10310, 10871, 11789, 12717, 12944, 12960,
    12277, 10619, 9440, 9379, 9516, 8798, 7836, 7895, 9404, 11058, 11474,
    11357, 11487, 12000, 12455, 12758, 13107, 13532, 14173, 13227, 11852,
    12839,
  10669, 11137, 11674, 12708, 13216, 13182, 13085, 13565, 14448, 14856,
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    13198, 13136, 13179, 13177, 13560, 13931, 13365, 12671, 12086, 11159,
    10945, 12055, 13547,
  12012, 12051, 11562, 11545, 12277, 13016, 13850, 14194, 13446, 11936,
    11272, 11684, 11992, 11934, 11463, 11317, 11724, 12582, 13518, 13512,
    13030, 12675, 12630, 12819, 13278, 13501, 12363, 11558, 11741, 11066,
    10647, 12055, 13421,
  12781, 12437, 11717, 11707, 12521, 13223, 13681, 13203, 11853, 10847,
    10596, 10622, 10815, 10697, 9960, 9848, 10646, 11676, 12250, 12110,
    11594, 10825, 10689, 11102, 11370, 11184, 10047, 9597, 10213, 9842, 9351,
    10318, 11311,
  12155, 11625, 10816, 11258, 12167, 12332, 12277, 11598, 10336, 9625, 9191,
    8800, 8835, 8574, 8108, 8396, 9257, 10182, 10489, 10196, 9647, 8626,
    8085, 8356, 8299, 7680, 7220, 7439, 7774, 7593, 7587, 8117, 8380 ;

 v =
  375, -8075, -17040, -25284, -29117, -28530, -26515, -21490, -13312, -6778,
    -2260, 2672, 6469, 7363, 5838, 3387, 2060, 2173, 2487, 2762, 3759, 5772,
    8253, 9764, 9591, 8267, 5326, 2308, 2493, 4285, 4051, 2407, 2438,
  5097, -5905, -17847, -27677, -32038, -30345, -24433, -15008, -5165, 1265,
    6072, 11020, 13209, 11612, 8982, 7251, 6022, 4453, 3770, 5703, 9194,
    11981, 13190, 12936, 11777, 9481, 5414, 1983, 761, -1073, -2976, 70, 7135,
  -5154, -15614, -24031, -29604, -32454, -31275, -25055, -15292, -5264, 2501,
    8313, 12474, 13572, 13000, 13382, 13143, 10524, 7793, 7509, 8897, 9828,
    9982, 9591, 8523, 7394, 6053, 3459, 12, -3135, -4187, -814, 6342, 12446,
  -17057, -22252, -26655, -30449, -32765, -32107, -27801, -20906, -12883,
    -5198, 2438, 9599, 13286, 14112, 13738, 10626, 6700, 5508, 6056, 6331,
    6279, 5714, 3553, 50, -2508, -2560, -1103, -8, 959, 3787, 7295, 8093, 7074,
  -16944, -19799, -24959, -30287, -32572, -31474, -28607, -24692, -19287,
    -12101, -1541, 10158, 16596, 17193, 14514, 10563, 8894, 8754, 7047, 5326,
    4712, 2625, -1544, -5063, -5792, -3215, 1422, 5799, 8096, 6879, 2030,
    -3672, -5594,
  -16415, -19862, -24172, -26669, -25188, -20788, -16754, -14402, -11550,
    -5377, 4819, 14911, 20442, 21745, 20384, 18818, 18204, 15907, 12127,
    9503, 7507, 4797, 2826, 2950, 3968, 5257, 6584, 7061, 5362, -173, -7552,
    -12059, -11352,
  -20146, -22944, -24601, -22872, -16313, -6880, 540, 3432, 4500, 7991,
    13961, 19506, 23845, 25638, 24344, 23342, 22419, 20167, 18859, 17898,
    15805, 14316, 14657, 15274, 13740, 10566, 7314, 4219, 876, -2992, -5594,
    -5198, -2128,
  -8057, -8106, -4290, -931, 644, 275, -1884, -3211, -2192, 639, 2610, 1085,
    -2181, -3971, -3673, -2236, -121, 2384, 5176, 7489, 7693, 7522, 9466,
    11977, 11807, 8761, 7131, 6966, 4141, 132, -782, 914, -231,
  -10887, -5656, 468, 2781, 1878, -391, -2363, -3222, -2533, -369, -72,
    -3123, -5678, -5557, -5149, -5463, -3871, -551, 2197, 4725, 6955, 8381,
    8541, 6300, 3342, 2731, 3585, 2280, 611, 1889, 2996, -347, -8497,
  -463, 6922, 7522, 2660, -2197, -4042, -2528, -892, -969, -2016, -4318,
    -6306, -7054, -8387, -9549, -7622, -2715, 606, 1399, 4235, 7142, 4317,
    -1680, -4340, -1795, 2720, 4835, 5055, 7610, 8535, 1597, -7567, -13839,
  9279, 10711, 6558, 2373, 908, 1393, 2594, 1988, -265, -2902, -6399, -8844,
    -9940, -10529, -8117, -3001, 484, 314, -760, -160, -1069, -5463, -7242,
    -2456, 3877, 6388, 6179, 6845, 8211, 5176, -3326, -9230, -10904,
  528, -534, -1234, 512, 3849, 6641, 7451, 5507, 2924, 710, -2897, -6867,
    -9946, -10177, -6405, -3365, -3987, -4912, -4224, -3717, -3613, -2093,
    1404, 4719, 5501, 4637, 4664, 5501, 5749, 5567, 3287, -887, -4620,
  -8332, -6173, -3563, -1190, 1685, 4411, 6311, 7032, 6960, 5430, 1525,
    -3150, -8183, -11284, -10711, -9268, -7633, -5006, -2847, -1526, 831,
    3260, 3601, 3073, 3722, 5848, 8194, 9747, 11382, 13717, 12104, 5628, -600,
  -5424, -2935, -479, 1090, 1911, 1823, 2445, 3684, 4637, 4769, 2819, -1102,
    -7209, -12413, -13503, -11322, -7451, -4687, -3949, -2776, -121, 1162,
    584, 1162, 2841, 4433, 6426, 9246, 11977, 12583, 8398, 1597, -4378,
  -5392, -5029, -5816, -7804, -10458, -12986, -14010, -12094, -7265, -2931,
    -2490, -4170, -4451, -2226, 1761, 5853, 9575, 13072, 15473, 16597, 17054,
    16773, 15853, 14928, 13766, 12241, 11327, 11481, 11916, 11734, 11492,
    10556, 8397,
  -5546, -7154, -10056, -12386, -13735, -14341, -13256, -9858, -6114, -4990,
    -6339, -6609, -4489, -1389, 2692, 8314, 14631, 18799, 19339, 17929,
    15523, 12527, 10440, 9950, 9636, 8529, 8375, 9840, 11316, 12329, 11954,
    8727, 5831,
  -2220, -6681, -10888, -13201, -13350, -11769, -9297, -7397, -7700, -8950,
    -8476, -5959, -3068, 219, 5104, 10093, 13331, 14223, 13012, 10280, 6211,
    3099, 3424, 6134, 7967, 7510, 7896, 10440, 11492, 9410, 5539, 1816, 1067,
  -5541, -9913, -12937, -14275, -13548, -11373, -9407, -8707, -9478, -9588,
    -7837, -5491, -2699, 1326, 5478, 7334, 7202, 6646, 5242, 2450, 10, 599,
    3325, 5264, 5655, 5159, 4724, 4895, 5087, 3953, 1497, 10, 957,
  -8509, -10398, -10668, -10299, -9522, -8845, -8597, -8179, -8107, -8228,
    -8283, -7843, -5029, -816, 1602, 2174, 2615, 2719, 1789, 1095, 2422,
    4696, 5131, 3589, 2147, 1701, 831, -238, 913, 3210, 4515, 4977, 4768,
  -4192, -6213, -7523, -8250, -7892, -6796, -5750, -5216, -6020, -7474,
    -8801, -9699, -8410, -5139, -2435, -943, -342, -535, -706, 274, 2725,
    4685, 5093, 4718, 3199, 1194, -227, -331, 1100, 2136, 2912, 3947, 3898,
  -2441, -6356, -9137, -10277, -10172, -9511, -8399, -7193, -6449, -6257,
    -7050, -8459, -8399, -5932, -2848, -1378, -1763, -2204, -1807, -915, 792,
    2549, 3788, 3892, 2004, 649, 434, -287, -645, -40, 1530, 3110, 3793,
  -302, 728, 56, -432, 1278, 4392, 7107, 8198, 6711, 3145, -178, -1098, 89,
    1548, 2325, 2710, 3619, 4800, 5400, 6488, 9109, 12749, 15960, 16998,
    16648, 16854, 17270, 16976, 15896, 14467, 12198, 7997, 3674,
  -448, -1015, -1159, 188, 3035, 5945, 7663, 7787, 6083, 3404, 1697, 1578,
    1675, 1388, 1812, 3062, 4026, 4337, 4775, 6174, 8448, 11182, 13622,
    14869, 15541, 16362, 16761, 16772, 16378, 14016, 9541, 6232, 6006,
  -1453, -3229, -2153, 1287, 4877, 7245, 7429, 5904, 4687, 4690, 4676, 3822,
    3332, 3908, 4547, 4772, 5004, 5326, 5659, 6185, 7829, 11469, 16012,
    19159, 19575, 18107, 16485, 14296, 10706, 7796, 8244, 11518, 13726,
  -71, -605, 2055, 5108, 6601, 6680, 5494, 3894, 2826, 2333, 1862, 1658,
    2795, 4139, 3690, 2647, 3046, 4406, 5565, 6755, 9139, 13110, 17270,
    19465, 18292, 14547, 10667, 7429, 4761, 4805, 8770, 13366, 14307,
  5273, 5017, 5987, 5645, 3985, 2107, 1044, 948, 174, -1167, -1673, -1117,
    -140, -178, -1192, -1379, -43, 2113, 4296, 6364, 8187, 9828, 11769,
    12669, 10979, 7325, 3690, 2470, 3453, 4279, 4252, 3663, 3156,
  8553, 8368, 8266, 7074, 4659, 2113, 818, 6, -1183, -1533, -1494, -1998,
    -2700, -4116, -5718, -5980, -4463, -1786, 405, 1744, 2658, 3517, 4841,
    4084, 271, -3199, -4600, -3780, -2161, -1726, -1583, -1040, 42,
  9282, 10557, 10607, 9461, 7041, 4588, 2939, 1022, -564, -1203, -2304,
    -3860, -5302, -7131, -8507, -8207, -6481, -4658, -3868, -3152, -2271,
    -2114, -2428, -4518, -7739, -9053, -9119, -8904, -7816, -5740, -2560,
    783, 3291,
  2515, 4330, 5478, 5048, 4594, 5706, 7375, 7857, 6546, 4602, 3135, 1747,
    632, 128, -92, 29, 139, -299, -456, 951, 3413, 5252, 6317, 7650, 9809,
    12064, 12681, 11254, 9101, 7711, 7174, 5924, 4054,
  2099, 3363, 4192, 4475, 4855, 5500, 6070, 6362, 5591, 3991, 2427, 1169,
    601, 508, 990, 1576, 282, -2091, -2951, -2383, -1497, -117, 2320, 5750,
    9335, 11563, 11645, 10822, 9503, 6896, 4247, 3234, 3561,
  1326, 1403, 1959, 2851, 3614, 3988, 3834, 3393, 2611, 1361, -35, -241, 902,
    1298, 522, -905, -3168, -4826, -5115, -5051, -3675, 417, 5445, 8468,
    8966, 8377, 7501, 6502, 4886, 2485, 1694, 3523, 5167,
  5045, 4858, 4916, 4756, 4407, 4106, 3727, 2521, 425, -1260, -1376, 326,
    2047, 1471, -1166, -3939, -5128, -4732, -4068, -3096, -874, 2154, 5048,
    6967, 6956, 5629, 4748, 5023, 5489, 5390, 5726, 5971, 4294,
  6546, 6739, 6378, 5745, 4979, 4186, 3658, 2606, 1375, 1499, 2510, 2972,
    2397, 1147, -748, -2565, -2394, -888, -87, 188, 444, 896, 2592, 4988,
    5618, 4115, 3126, 4473, 6340, 6524, 5549, 4192, 2785,
  7892, 7022, 5701, 4897, 4005, 2790, 1573, 725, 1419, 2639, 1865, 235, -461,
    -1221, -2645, -3058, -1395, 326, 232, -858, -1610, -1062, 511, 1122, 610,
    480, 1111, 2485, 3801, 4038, 3498, 3060, 3429,
  8608, 7551, 6348, 4930, 3192, 1769, 728, 75, 172, -472, -2447, -3154,
    -2659, -3598, -4864, -4038, -2515, -2683, -3801, -3837, -3088, -2799,
    -3242, -4264, -4074, -2067, -528, -37, 318, 546, 643, 1199, 1981,
  1375, 1812, 2558, 2837, 2214, 2426, 3764, 3627, 2346, 2583, 3737, 4238,
    4230, 4268, 4670, 4337, 2669, 1724, 2333, 2641, 1606, -550, -2348, -1065,
    3095, 6540, 7482, 7030, 5761, 3002, -132, -1638, -2260,
  3687, 4373, 4555, 3497, 2374, 2740, 3159, 2492, 1735, 1391, 901, 58, -487,
    -319, -327, -1294, -2489, -3119, -3788, -5148, -6385, -6027, -3193, 967,
    3836, 5103, 6179, 6628, 5194, 2470, 805, 934, 554,
  4354, 4511, 3941, 2680, 2165, 2013, 1253, 1212, 1278, -242, -2221, -3549,
    -4185, -4344, -4713, -5118, -5391, -5793, -5941, -5757, -4958, -3025,
    -834, 262, 502, 1069, 1931, 2498, 3046, 3935, 4552, 3354, -118,
  1606, 1336, 524, 824, 1584, 1284, 964, 1366, 1110, -10, -982, -1657, -2285,
    -3155, -4187, -4733, -4914, -4603, -3915, -4242, -4870, -4443, -4127,
    -4644, -5300, -5749, -4884, -1170, 4106, 7564, 7542, 4852, 1212,
  1680, 956, 736, 2311, 3233, 2509, 2052, 1399, 389, -101, -503, -401, 314,
    116, -1428, -2866, -3196, -3295, -4438, -6126, -7246, -8128, -8598,
    -8064, -7764, -7566, -4939, -231, 4172, 7102, 7694, 6708, 5367,
  1366, 1110, 1372, 2201, 2528, 1829, 590, -773, -812, 276, 1366, 3018, 4293,
    4051, 3093, 2393, 1810, -13, -2257, -2590, -2579, -4355, -5906, -5104,
    -2805, -291, 1738, 2035, 1925, 3453, 4158, 2699, 741,
  463, 25, -68, -313, -412, -297, -302, 34, 1325, 2622, 3657, 4926, 5483,
    5447, 5634, 5326, 3866, 2225, 2388, 3475, 2955, 1931, 1600, 2184, 5202,
    8693, 9470, 8096, 6146, 3946, 1011, -2530, -5526,
  6366, 6763, 5171, 3850, 4522, 5182, 4092, 3244, 3971, 4819, 5188, 5901,
    6198, 4984, 3404, 3203, 4610, 6311, 7688, 9596, 11832, 13060, 12864,
    11705, 9756, 7311, 4805, 1977, -897, -3260, -4017, -1891, -369,
  4968, 4838, 5017, 5700, 5615, 3742, 997, -1162, -1412, 364, 2319, 3222,
    3307, 3233, 3269, 3415, 5036, 8123, 10728, 13043, 15086, 15279, 13578,
    10921, 7941, 5177, 2459, -823, -3441, -3524, -1451, 747, 75,
  1366, 1107, 2869, 4863, 4045, 972, -1277, -2544, -3282, -2334, -765, -99,
    493, 2088, 4205, 5722, 8082, 11598, 13225, 13520, 14170, 13613, 11570,
    9045, 6366, 3946, 2247, 1132, 631, 898, 386, -1762, -3920,
  1440, 1446, 3387, 4651, 3621, 1961, 1157, 1060, 769, 199, -536, -1013,
    -363, 1531, 4665, 8057, 10651, 12080, 11559, 10695, 11174, 11546, 10945,
    9651, 8035, 6821, 6275, 5719, 4417, 2311, -817, -3582, -3775,
  1906, 1738, 2958, 3032, 1972, 1597, 1837, 2883, 3340, 1977, 598, 446, 1074,
    2140, 4684, 8181, 9464, 8522, 7875, 7875, 7908, 8208, 8946, 9525, 9516,
    8935, 7757, 6003, 3979, 2019, 113, -1159, -1575,
  4062, 4023, 3244, 1537, 378, 736, 2101, 3470, 2779, 413, -525, 389, 1628,
    2479, 3484, 4747, 4541, 3657, 4051, 3863, 2523, 2575, 4695, 7484, 8971,
    8178, 6521, 5711, 5860, 5893, 4885, 3172, 1515,
  6801, 6465, 4535, 2743, 2294, 2704, 3214, 2280, 314, -534, -316, 157, 1036,
    1617, 1107, -19, -1120, -1255, -842, -1671, -2431, -1120, 1476, 3908,
    4549, 3682, 3726, 5042, 6322, 6551, 5345, 3574, 2795,
  11510, 10279, 10472, 9635, 5725, 1234, -236, 896, 1791, 2237, 3569, 4987,
    5521, 5276, 3814, 2047, 1463, 1155, 400, 94, 529, 1647, 3189, 4161, 4817,
    5753, 6593, 7050, 6562, 6262, 6851, 5786, 3096,
  8352, 6964, 5899, 4123, 2270, 2000, 3803, 6248, 6730, 5081, 4302, 5001,
    4976, 4081, 3366, 3338, 3633, 2732, 645, -811, -269, 2341, 5387, 7091,
    7697, 8088, 8550, 9159, 8492, 6047, 3834, 2137, 1022,
  8790, 9685, 7204, 2884, 1584, 4054, 6915, 7350, 5852, 4384, 3831, 3635,
    2752, 2008, 2446, 3035, 2341, 1, -2491, -3105, -1376, 1320, 3704, 5789,
    7234, 8057, 8850, 8724, 6469, 3079, 1730, 2845, 3327,
  5943, 6491, 4062, 1691, 2567, 4817, 5634, 3795, 1438, 601, -21, -586, -462,
    -197, -487, -1668, -3141, -4168, -3906, -1962, 155, 552, 158, 1248, 2939,
    3916, 4450, 3710, 1788, -13, -398, 1039, 1587,
  843, 1218, 978, 1256, 2008, 1923, 1474, 513, -503, -869, -1593, -2216,
    -2494, -3405, -5143, -6998, -6943, -4363, -1222, 890, 1755, 1722, 1438,
    1515, 1873, 2377, 2361, 1003, -509, -1938, -3636, -3446, -2001,
  -131, 640, 1642, 1433, -470, -2194, -1536, 422, 1518, 1099, -580, -2430,
    -4019, -5107, -5682, -6081, -4831, -1808, 114, 477, 1424, 2809, 3173,
    2267, 1042, 549, -57, -1522, -2598, -3601, -5322, -5476, -4088,
  645, 364, 1303, 1901, 1243, 282, 667, 2308, 2936, 1322, -1227, -3017,
    -3573, -3171, -2607, -1858, -255, 1314, 1333, 1014, 1879, 2102, 1793,
    2493, 2625, 1416, -338, -2037, -2843, -2970, -3653, -4217, -3923,
  -5878, -3639, -2596, -960, 4227, 9475, 11309, 10645, 9555, 9035, 8096,
    6722, 5978, 6466, 8203, 8789, 7561, 6573, 5816, 4982, 4607, 4467, 4412,
    4701, 5006, 5532, 7052, 8566, 9241, 8781, 7058, 6212, 6746,
  2627, 2561, 2112, 3492, 7680, 10984, 11521, 11113, 10458, 9244, 7561, 6686,
    6870, 7019, 7179, 6779, 6221, 7038, 7856, 7104, 5843, 5127, 4370, 3575,
    3577, 4814, 6912, 7983, 7897, 7807, 7074, 6108, 5378,
  5951, 3641, 3266, 5359, 7572, 8063, 8605, 10433, 10775, 8668, 6455, 5739,
    5450, 4304, 3285, 2972, 4158, 7341, 9486, 8671, 7074, 6311, 5607, 5268,
    6311, 7674, 8140, 7977, 7966, 7603, 5722, 2925, 805,
  4062, 3861, 4406, 4431, 4133, 4530, 6482, 8635, 8198, 6590, 6014, 5114,
    3076, 1565, 1889, 3233, 5430, 8151, 8787, 7487, 7038, 7583, 7977, 8693,
    9866, 9998, 8935, 8228, 7556, 5513, 3079, 1386, 287,
  6190, 7592, 7550, 6138, 5874, 6455, 6702, 6339, 5257, 5152, 5733, 4450,
    2269, 1650, 2660, 3952, 4811, 5350, 5524, 5885, 6892, 7900, 8577, 9079,
    9065, 8572, 8597, 9114, 8302, 5830, 3886, 3051, 2426,
  6592, 7608, 7991, 8748, 10095, 9343, 6347, 4062, 3902, 5158, 5827, 4841,
    3803, 3558, 3258, 2809, 2605, 2955, 4007, 5092, 5692, 6405, 7617, 8641,
    8759, 8721, 9392, 9527, 8049, 6061, 4720, 3880, 3062,
  3175, 5202, 6683, 7300, 6859, 5629, 4048, 2815, 2834, 3668, 4367, 4607,
    4544, 4288, 3376, 2261, 2335, 3283, 3729, 3583, 3519, 3663, 3935, 4530,
    5094, 5711, 6578, 6672, 5896, 4902, 3836, 3186, 2545,
  -11743, -19491, -24885, -25298, -22798, -20768, -18023, -12282, -4922,
    1372, 5722, 8338, 9693, 10951, 13035, 15503, 17573, 18311, 16439, 12295,
    7611, 3253, -1580, -7120, -11308, -12646, -11241, -8827, -8483, -9606,
    -8444, -4832, -2367,
  -3212, -9752, -14350, -16415, -16556, -14606, -9678, -3133, 2795, 7771,
    12058, 14795, 15213, 14057, 13085, 13055, 13236, 13041, 12388, 11535,
    10260, 7088, 973, -6406, -11357, -12602, -11894, -11476, -13356, -16677,
    -18544, -17985, -15482,
  -778, -4212, -7001, -9187, -9193, -5572, -43, 4844, 9062, 12724, 15054,
    15596, 14448, 12000, 8757, 5937, 4588, 4841, 6394, 8154, 8377, 5587, 507,
    -3906, -5412, -4798, -4966, -7739, -12679, -17544, -20611, -21867, -20289,
  -1866, -3149, -4259, -5382, -4030, 697, 6276, 11215, 15172, 16797, 16279,
    15012, 13539, 12041, 9775, 7383, 6915, 8222, 9726, 10425, 10020, 7727,
    4426, 2727, 2305, 1047, -2029, -6434, -10627, -13227, -14108, -14879,
    -16178,
  -745, -1750, -3215, -4443, -2604, 2022, 7339, 12545, 16373, 17953, 17581,
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    10213, 6752, 5375, 4764, 3220, 824, -2207, -4832, -6332, -7756, -10867,
    -15936,
  -1337, -2695, -3961, -4614, -3576, -2483, -566, 3977, 9522, 13705, 14288,
    13190, 15676, 22020, 25941, 24512, 21221, 18118, 15175, 12408, 9621,
    7014, 5954, 6625, 6650, 5224, 3032, 287, -2893, -6172, -9441, -12833,
    -15724,
  -8012, -7020, -6082, -5699, -5655, -6508, -4983, 645, 6168, 8470, 8206,
    9522, 15172, 22279, 24881, 21692, 17424, 14489, 12559, 10805, 8330, 6364,
    6433, 6961, 5689, 2685, -941, -3626, -5886, -8725, -10771, -11054, -9278,
  8235, 11875, 13772, 15953, 18252, 19117, 18321, 15554, 12206, 10942, 11250,
    12090, 14634, 17487, 17275, 13475, 7847, 3604, 3854, 6120, 4430, -1085,
    -4034, -1300, 3507, 5944, 4518, 1423, 1409, 4939, 8073, 7943, 2805,
  3196, 5666, 7456, 11404, 14967, 16259, 14995, 11691, 9496, 9697, 9959,
    9562, 9403, 8400, 5856, 3293, 1561, 950, 1855, 1225, -3040, -4398, 2962,
    12897, 16121, 12511, 7373, 3898, 3276, 5410, 9102, 11041, 7095,
  1630, 2651, 3141, 5129, 6913, 7872, 8692, 9835, 10479, 9942, 8918, 7048,
    3742, 1619, 3543, 7483, 8860, 6410, 3728, 2910, 3017, 6809, 15061, 20053,
    16807, 10251, 6481, 6338, 8037, 9884, 10063, 6776, 969,
  3940, 950, -1358, -1405, 757, 3739, 6489, 8417, 7525, 4358, 1352, -956,
    -1234, 3265, 10570, 14447, 13034, 9152, 7172, 9180, 11938, 13255, 13224,
    10688, 6938, 5674, 7445, 9471, 9571, 7360, 2516, -4219, -8932,
  4708, 437, -807, 1054, 4901, 8309, 9700, 8519, 4033, -2093, -6975, -7886,
    -3850, 2359, 6522, 7927, 10675, 14934, 16399, 14546, 11402, 8155, 5215,
    2943, 1586, 1459, 2458, 2494, -9, -2732, -3172, -2222, -295,
  9334, 8728, 8767, 9259, 10419, 12228, 13860, 13591, 9414, 2635, -3120,
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    1285, -502, -1427, -2776, -3299, -3541, -4092, -2682, 1712, 6349, 9741,
  12214, 12897, 12767, 11481, 10190, 10928, 13458, 16038, 16363, 15031,
    12115, 5840, -1975, -8971, -12614, -8575, 853, 6492, 5487, 3103, 3141,
    3717, 2734, 1767, 1126, 1401, 3364, 4342, 3725, 3717, 4970, 6429, 7522,
  -2725, -2166, 686, 4781, 8104, 11270, 14005, 15293, 16320, 16433, 14385,
    12198, 11169, 11050, 11835, 11959, 11447, 12730, 14470, 13669, 11295,
    10767, 13206, 15822, 15921, 13019, 8754, 5464, 2999, 725, -1382, -4003,
    -7519,
  -2554, -1029, 1248, 4668, 8864, 12972, 14955, 15131, 15321, 14140, 11119,
    8836, 8724, 11028, 14638, 16984, 18311, 19220, 17474, 14767, 15153,
    17636, 18732, 16502, 11849, 7217, 4222, 3186, 3489, 4750, 5034, 1482,
    -5611,
  3, 215, 975, 3489, 6810, 9271, 10544, 11601, 12041, 10802, 8828, 7540,
    8710, 13055, 17036, 17708, 16695, 15624, 14993, 16075, 17661, 16808,
    13352, 8594, 4112, 1534, 1028, 1788, 2531, 1581, -1803, -5960, -9267,
  -1464, -1401, 119, 2435, 4156, 4852, 5045, 5059, 4808, 5053, 7113, 10227,
    12677, 12983, 10213, 7099, 6661, 8090, 10246, 11455, 9544, 6232, 4191,
    3104, 2264, 1309, -399, -2488, -4686, -7599, -9705, -8028, -3667,
  -4862, -3012, -1150, -633, -891, -1348, -2364, -3328, -2841, -511, 4403,
    10615, 13121, 10166, 5885, 4748, 6022, 5464, 2600, -239, -1657, -710,
    1251, 1774, 865, -533, -2563, -4754, -5523, -4146, -924, 2369, 3420,
  -1098, -1070, -2147, -3499, -3912, -3711, -3832, -4226, -4113, -2877, 763,
    5910, 7980, 7171, 8143, 10687, 10747, 6524, 1050, -1662, -1516, -30,
    2261, 3809, 2897, 1226, 711, 1008, 2283, 4186, 5092, 3619, 235,
  4613, 1672, 67, -65, 829, 1650, 1548, 306, -1084, -1902, -2689, -2706,
    -1717, 243, 4288, 8853, 10838, 9693, 7595, 6904, 6950, 5918, 5274, 6133,
    6303, 5838, 5513, 3977, 2002, 706, -470, -1483, -2152,
  1396, -906, -2536, -1980, 1330, 5675, 8296, 9271, 8907, 6919, 5614, 5752,
    5796, 6115, 7107, 8434, 10086, 10890, 9034, 5394, 3461, 4419, 5278, 2459,
    -3808, -8511, -8368, -6853, -7966, -11407, -15411, -19431, -23710,
  1402, -471, -642, 300, 1677, 2866, 3736, 5499, 6985, 6672, 6192, 6027,
    6022, 7046, 7988, 7867, 6903, 4860, 2833, 2024, 2013, 1594, -1192, -5845,
    -8891, -8318, -5807, -5581, -8307, -11501, -15516, -20086, -22652,
  3334, 2101, 2844, 3924, 4216, 3995, 3863, 3913, 4100, 4651, 5003, 5251,
    6484, 6936, 4326, 609, -1462, -1952, -1853, -2585, -4937, -7464, -9552,
    -10234, -7872, -4232, -2404, -3984, -7866, -11644, -14106, -13874, -11694,
  4072, 4177, 4838, 5075, 4304, 2586, 1357, 1396, 2453, 3995, 4634, 4689,
    4359, 1561, -2492, -4315, -3340, -1980, -2899, -5829, -8153, -8197,
    -6589, -4441, -2508, -1649, -2007, -3544, -5510, -6655, -6137, -4397,
    -4370,
  6325, 5702, 3819, 1308, -950, -2778, -3444, -2272, -333, 1242, 1985, 1875,
    69, -3444, -5080, -3433, -1991, -3279, -5532, -5152, -2294, -234, 8,
    -471, -966, -944, -603, -702, -702, -966, -2850, -6407, -10510,
  1424, -1666, -3389, -4562, -5565, -6005, -6347, -6611, -5956, -4078, -2486,
    -2508, -3334, -3632, -2839, -2227, -4226, -8120, -9188, -5548, -944,
    1413, 1413, -173, -1655, -1495, -608, -30, -30, -2200, -6490, -10791,
    -14183,
  -5746, -6330, -5796, -5801, -6809, -8059, -9089, -9563, -8423, -6176,
    -4744, -3698, -1170, 1897, 2338, -708, -4744, -6919, -6578, -5978, -6749,
    -6936, -5432, -4127, -3670, -3544, -4353, -5466, -5967, -6638, -7426,
    -8538, -11038,
  -1333, 718, 1646, 2420, 3389, 3185, 2175, 3204, 4931, 4895, 5157, 6327,
    6547, 5900, 4694, 3163, 2571, 2711, 2111, 569, -1008, -2124, -3459,
    -5857, -9068, -11755, -12807, -12606, -11868, -10607, -9715, -10937,
    -13743,
  286, -427, -169, 225, -411, -1474, -772, 2128, 3766, 3929, 5308, 6393,
    5666, 4427, 2885, 1103, -237, -1730, -3558, -4960, -6121, -7611, -9216,
    -10221, -10276, -9090, -6650, -4224, -2952, -3489, -6020, -8792, -9373,
  765, 228, 685, 407, -876, -1256, -353, 412, 1035, 3102, 5545, 6117, 5426,
    4366, 2477, -28, -1986, -2977, -3957, -6066, -8924, -10805, -10571,
    -8363, -5403, -2347, 762, 2549, 2106, 195, -1628, -1967, -1251,
  4399, 4176, 3334, 1632, -601, -2044, -2278, -1325, 1472, 4752, 5834, 5250,
    4347, 2480, -83, -1730, -1763, -1688, -3352, -6094, -7584, -6645, -4387,
    -2049, 316, 2816, 4867, 5525, 4691, 3116, 1723, 572, -1039,
  4465, 2819, 561, -1688, -3285, -3365, -1518, 1536, 4207, 5525, 5495, 3650,
    68, -2622, -2322, -708, -835, -3586, -6163, -5769, -3632, -1881, -915,
    -133, 1483, 3612, 4997, 5619, 5316, 3438, 781, -1810, -3894,
  -2267, -3192, -3437, -3966, -3654, -2269, -918, 222, 1428, 2852, 3359,
    1032, -2283, -2812, -1187, -1286, -4376, -7270, -6347, -2704, -309, -237,
    -1237, -2126, -1581, 140, 1530, 2365, 2359, 1662, 1464, 1054, -493,
  -3982, -3360, -3239, -4032, -3833, -2545, -1578, -689, 980, 2084, 872,
    -843, -276, 768, -766, -4213, -6862, -6832, -5031, -3616, -2746, -1768,
    -1212, -1039, -14, 1365, 1800, 2004, 2866, 4454, 5886, 5509, 3381,
  -5755, -4400, -2625, -703, 1280, 1225, 520, 1404, 2340, 2571, 2959, 3180,
    2668, 1952, 1935, 2078, 1018, -1000, -2630, -3423, -4279, -6548, -9951,
    -11540, -9059, -4987, -3539, -4915, -6435, -6804, -6251, -5094, -3440,
  -3508, -2324, -2016, -1633, -1471, -2074, -1625, -477, -546, -1047, -1330,
    -2033, -2823, -2938, -2523, -2644, -3266, -3214, -2850, -3698, -6000,
    -8241, -8652, -6650, -3742, -2779, -4334, -5915, -6273, -5796, -4114,
    -1933, -485,
  -2955, -3398, -4114, -5086, -6265, -6223, -4918, -3541, -2305, -1746,
    -2278, -3051, -3811, -4836, -5838, -5978, -4244, -1798, -1416, -3068,
    -4191, -3630, -2357, -1787, -2641, -4257, -4893, -3872, -2388, -1140,
    -133, -416, -1931,
  -3027, -3806, -5394, -7256, -8093, -6589, -4277, -2368, -1198, -1534,
    -2256, -2652, -3985, -5747, -5796, -3594, -1303, -1407, -3329, -4392,
    -3566, -2801, -3891, -5697, -6521, -5959, -3800, -1077, 289, 115, -1319,
    -3291, -3657,
  -3588, -3566, -4034, -3817, -2658, -1061, 316, 1029, 633, 316, 993, 468,
    -1512, -2115, -793, 278, -1003, -3486, -4169, -3541, -3943, -5598, -7352,
    -7757, -6344, -3998, -1206, 991, 894, -617, -1567, -477, 2838,
  -127, 834, 1563, 2376, 2918, 2233, 790, 335, 2012, 5025, 6426, 4686, 2712,
    3067, 3887, 2665, -31, -1628, -1518, -2110, -4701, -7275, -7545, -5645,
    -2479, 1040, 3719, 4884, 4325, 3342, 3551, 5135, 7247,
  5237, 5862, 5223, 3659, 2624, 2475, 2571, 3549, 6145, 7775, 6839, 5523,
    4909, 4526, 4149, 3282, 2076, 795, -683, -1292, -948, -862, -532, 677,
    2893, 5641, 7497, 8419, 8681, 8304, 8130, 8307, 8351,
  3811, 4045, 2897, 2465, 1961, 1052, 1633, 2393, 2938, 4133, 4337, 3178,
    1991, 1085, 111, -1236, -2599, -2398, 20, 2762, 4026, 3910, 3461, 2991,
    1818, -410, -2530, -2538, -1285, -1076, -1098, -955, -2114,
  4120, 1636, -159, 502, 1394, 1490, 1551, 1140, 1487, 2894, 3784, 4428,
    4717, 3387, 1250, 179, 394, 1237, 2269, 3340, 4265, 4395, 3101, 573,
    -1671, -2929, -3538, -2935, -1781, -958, -470, -1131, -2340,
  2222, -24, -859, 584, 2688, 4048, 4117, 3084, 1719, 956, 1694, 3142, 3916,
    4004, 4356, 5378, 5328, 3082, 1000, 1388, 2443, 1647, -407, -1993, -2095,
    -1685, -1704, -1707, -1974, -1387, -335, -1128, -1966,
  312, 504, 1991, 4384, 6534, 7327, 6058, 3450, 738, -115, 1449, 2726, 3511,
    5532, 7660, 7864, 5918, 3941, 3897, 4838, 4015, 1160, -776, -327, 975,
    950, 69, -619, -1734, -1654, -377, -391, -861,
  -382, 1264, 4318, 6790, 7071, 5540, 3291, 1355, 515, 959, 2060, 2958, 4340,
    6234, 6845, 5752, 4937, 5736, 6182, 4797, 2845, 1672, 1765, 2638, 3037,
    2148, 785, -319, -1302, -1390, -726, -335, -481,
  438, 634, 1121, 1977, 1892, 1162, 1374, 2547, 3481, 2988, 2363, 3021, 3811,
    3759, 3194, 3043, 4037, 4791, 3572, 1986, 2184, 3428, 4260, 4186, 3043,
    1330, 146, -600, -1368, -1949, -1795, -724, -30,
  -214, -1660, -3392, -2825, -1296, -344, 496, 1677, 2685, 2575, 2759, 3376,
    2702, 1903, 1922, 2236, 2751, 2892, 2861, 3093, 3068, 2776, 2308, 1721,
    653, -768, -1079, -900, -1729, -3059, -3576, -2935, -1696,
  19404, 19044, 17235, 12854, 9170, 8231, 6587, 3448, 2041, 2606, 4503, 7978,
    10280, 9949, 8344, 6813, 6199, 5356, 4200, 3195, 1912, 1447, 1408, 1345,
    2352, 3922, 4891, 4062, 2548, 3503, 6810, 9090, 8319,
  13765, 16373, 16199, 12904, 9666, 7339, 4533, 2303, 1882, 2851, 5197, 7455,
    7479, 6744, 6785, 7565, 8201, 6752, 4566, 3267, 2383, 2529, 2997, 3352,
    4175, 5018, 5208, 4043, 3200, 3900, 5213, 6854, 7700,
  7031, 10993, 12570, 11549, 9550, 6780, 4431, 3528, 3206, 3030, 3473, 3861,
    3294, 2658, 2542, 2471, 2537, 3525, 5417, 6617, 7182, 7771, 7410, 7069,
    7438, 7444, 6416, 4594, 4087, 4318, 4071, 5037, 6662,
  5194, 6075, 6573, 6554, 5535, 3732, 3258, 4371, 5354, 4349, 1422, -913,
    -1670, -2059, -2372, -2279, -905, 3002, 7218, 8743, 9063, 9341, 8663,
    8022, 7771, 7039, 5987, 5472, 6017, 6092, 5365, 4563, 3691,
  6841, 4351, 2039, 1372, 1416, 1716, 2884, 4643, 5946, 4789, 1160, -2337,
    -3956, -3793, -2436, -462, 1975, 5288, 8303, 9310, 8878, 8115, 7201,
    6199, 5370, 4987, 5155, 6056, 6783, 6014, 4638, 3038, 1725,
  4996, 3079, 1771, 2245, 3192, 3625, 3352, 2628, 1488, -172, -1285, -1739,
    -1560, -547, 601, 2096, 4035, 5802, 7036, 7309, 6579, 5483, 4784, 4437,
    4027, 3861, 3900, 3801, 3591, 3071, 2212, 1323, 1367,
  3558, 3916, 4930, 6003, 6125, 4742, 1865, -1015, -2626, -2439, -795, 420,
    965, 1576, 2352, 3589, 4321, 4038, 3440, 3022, 3261, 3473, 3903, 4930,
    4415, 2942, 2366, 1532, 593, 351, -68, -68, 1386,
  -941, 311, 2517, 4846, 5215, 4320, 4717, 5659, 6248, 6793, 6642, 5279,
    4238, 4312, 4629, 4568, 4004, 4078, 4857, 5141, 5510, 6220, 6358, 5824,
    5447, 5813, 6716, 7702, 8109, 7509, 5917, 4073, 3010,
  3112, 6234, 8299, 8800, 7916, 7156, 7768, 8385, 8318, 7578, 6022, 4486,
    4271, 5127, 5270, 4070, 3731, 5973, 8098, 7900, 6779, 5934, 5628, 5587,
    5623, 6102, 6989, 7757, 7250, 5243, 3348, 2779, 2875,
  10485, 12674, 13192, 12490, 11777, 11413, 11135, 10601, 9736, 7980, 5829,
    4866, 4866, 4775, 4637, 4662, 5791, 7737, 7759, 5934, 4601, 4241, 4458,
    4516, 4315, 4775, 5849, 6531, 5802, 4023, 2754, 2291, 1738,
  15056, 17151, 16758, 15428, 14775, 14227, 12900, 10623, 8324, 7212, 7038,
    6873, 5780, 4213, 3773, 4084, 4147, 3684, 2682, 2288, 3296, 5017, 6129,
    6033, 5711, 5813, 5411, 4373, 3437, 2454, 1319, 482, 435,
  15923, 17559, 16402, 14995, 14456, 13718, 11890, 8621, 5722, 5386, 6237,
    6157, 4670, 2770, 1727, 1237, 791, 185, 130, 1294, 2809, 4018, 4692,
    5169, 5590, 5204, 3635, 2126, 2082, 2481, 2096, 1228, 983,
  14106, 14538, 13605, 12617, 11881, 11124, 9924, 8206, 7093, 6730, 5992,
    4626, 2399, 199, -889, -1208, -790, -377, 270, 1735, 2847, 3103, 3073,
    3850, 4541, 3874, 2927, 2845, 3712, 4552, 4791, 4026, 2715,
  10012, 9805, 9880, 9602, 9461, 9910, 10070, 9646, 8853, 7214, 5182, 3203,
    691, -1087, -1580, -1842, -1599, -1153, -347, 749, 1520, 2393, 2927,
    3343, 3360, 2641, 2762, 4015, 5072, 5050, 4654, 3803, 2390,
  -1665, -910, -916, -1229, -1973, -2386, -618, 4608, 10842, 13336, 10908,
    6172, 1469, -1879, -2683, -1472, -260, 235, 197, -156, -403, -1097,
    -3421, -6604, -8080, -7524, -7034, -6461, -4858, -3823, -4578, -6500,
    -7535,
  -3438, -2535, -861, 814, 1821, 3358, 6888, 12257, 16910, 18391, 16877,
    13667, 10577, 8843, 7570, 5395, 1843, -1560, -1901, 599, 2405, 1689,
    -1235, -5861, -10393, -12717, -12243, -8487, -3118, -414, -971, -1962,
    -2270,
  -5156, -5161, -3195, -1141, 1155, 5351, 11128, 16525, 20187, 22400, 23204,
    21883, 19195, 15484, 10076, 4244, 43, -1213, 1364, 5924, 8000, 5918,
    1524, -4379, -11153, -15850, -16081, -11819, -5696, -1384, 946, 2554, 3159,
  1887, -447, -2039, -3416, -2661, 1645, 8231, 15181, 21178, 25231, 25776,
    23050, 18749, 13254, 8352, 6309, 6744, 8160, 8512, 6822, 4167, 1149,
    -2022, -4638, -6621, -8526, -10464, -10536, -7017, -2078, 1414, 2631, 2460,
  10990, 5968, 825, -2491, -2144, 2724, 11188, 20104, 26487, 28932, 26062,
    20583, 17059, 15528, 15743, 17665, 18799, 16833, 11007, 3358, -2215,
    -4088, -3025, 263, 4288, 5660, 2322, -2243, -2694, 120, 2218, 2956, 3237,
  7174, 2636, 604, 1898, 5131, 10445, 17890, 24251, 27357, 27626, 24361,
    19818, 18496, 19454, 19482, 18303, 16337, 12532, 7422, 3358, 401, -1296,
    -128, 3264, 6585, 8055, 6623, 3137, 946, 1375, 2730, 4107, 5169,
  230, -1064, 803, 4982, 9867, 14630, 18408, 20501, 21607, 21998, 20605,
    18226, 16794, 15754, 13160, 9068, 5527, 3148, 1948, 2499, 3204, 3330,
    4211, 5660, 6585, 6497, 5225, 2603, 219, -156, 456, 830, 1386,
  3140, 6411, 7067, 6351, 6114, 6246, 7001, 7226, 4980, 1092, -1546, -2190,
    -2328, -2675, -4558, -8061, -10429, -10632, -8215, -3677, -1050, -1342,
    -2047, -3688, -7807, -12411, -13744, -10302, -4922, -1827, -588, 100,
    -3027,
  5359, 7882, 8862, 8917, 9936, 12326, 13295, 10117, 5117, 2094, 1328, 502,
    -2256, -6161, -9806, -12196, -11541, -8110, -4966, -4426, -5511, -5698,
    -4707, -3424, -2141, -417, 2700, 6268, 8047, 7447, 5238, 882, -5797,
  9655, 10932, 10641, 9258, 8719, 9446, 7860, 3636, 822, 277, -274, -2273,
    -5142, -6585, -5704, -3826, -1607, 211, -869, -5318, -8903, -8248, -4344,
    1108, 6665, 11169, 13757, 13333, 10685, 7325, 3041, -2025, -5803,
  4776, 4842, 4902, 5574, 7061, 7805, 6092, 3394, 480, -2895, -5115, -6150,
    -6243, -3964, -1122, -907, -2653, -3584, -2747, -1788, -1777, -1199,
    1791, 6147, 9060, 10613, 11896, 11780, 9418, 5613, 2166, -120, -1678,
  -5902, -2025, 2496, 6031, 7805, 6736, 3790, 761, -3451, -8463, -10274,
    -9162, -8220, -7857, -8964, -11998, -14025, -11772, -5759, -621, 937,
    1081, 2154, 3696, 4368, 4858, 6334, 7986, 7782, 5448, 3036, 673, -1733,
  -2284, 2540, 5431, 5668, 3950, 1923, 1015, 189, -2862, -8231, -12306,
    -13485, -14630, -17081, -19570, -20666, -18876, -14085, -8771, -5065,
    -1579, 2507, 5409, 6879, 7171, 6031, 4253, 3267, 3289, 3416, 3157, 2171,
    1918,
  9490, 9699, 7149, 3994, 255, -1497, 502, 2678, 1477, -3094, -8083, -10924,
    -12918, -15908, -18573, -18694, -15688, -11056, -6800, -2719, 2501, 7221,
    9192, 8856, 6890, 4814, 3702, 2953, 3267, 5420, 8388, 10712, 12728,
  15422, 16551, 16743, 16413, 16352, 16584, 16666, 15884, 14447, 13786,
    13814, 13346, 11919, 9568, 7051, 5185, 4414, 5317, 7040, 6930, 3957,
    -229, -4331, -8247, -11176, -12030, -11826, -11859, -11661, -11259,
    -10554, -8792, -6226,
  16386, 16512, 15113, 13181, 11429, 10267, 9210, 8896, 10554, 12145, 10851,
    7635, 4210, 730, -1638, -1556, 421, 2635, 3538, 2277, -482, -2855, -4089,
    -4948, -6022, -7481, -9711, -11826, -12278, -11066, -8351, -5064, -2811,
  13428, 12052, 9799, 7828, 6396, 6088, 6308, 7448, 9981, 10625, 7371, 3588,
    1545, -190, -1952, -3120, -4524, -6925, -9172, -9833, -8913, -6991,
    -5119, -4931, -6991, -9888, -12206, -13335, -12647, -9767, -5471, -2822,
    -3979,
  9122, 10069, 10240, 9326, 6749, 4012, 2740, 2872, 3632, 4320, 4953, 5845,
    6044, 4078, 443, -3208, -6259, -8929, -10449, -10009, -8621, -7707,
    -7564, -8285, -9844, -10995, -10923, -10411, -9711, -8351, -7310, -8302,
    -9783,
  9287, 12426, 12459, 9860, 4986, -642, -3830, -3753, -2294, -8, 3417, 6137,
    5735, 2580, -482, -1198, -102, 239, -1055, -2244, -2382, -2167, -2178,
    -2580, -3582, -5036, -6220, -6606, -7129, -8395, -9293, -9034, -6374,
  8004, 8599, 5730, 1313, -2630, -5389, -6176, -5218, -4089, -2542, 928,
    4882, 6176, 5146, 4623, 5548, 6958, 7123, 5559, 4056, 3780, 3797, 2629,
    8, -2630, -4177, -4623, -3461, -1892, -1336, -603, 3, -30,
  570, -1693, -4183, -6848, -8450, -8208, -7399, -7718, -8544, -7437, -3615,
    746, 3246, 4612, 6440, 7977, 8946, 9706, 9524, 8153, 5961, 3109, 63,
    -2073, -2255, -967, 217, 1996, 5107, 7663, 8357, 6991, 4948,
  3138, 2813, 1987, 1006, 858, 1998, 3402, 4393, 5599, 7301, 8325, 7405,
    4377, 714, -1433, -1670, -1329, -1769, -3741, -7678, -12755, -16439,
    -17640, -17304, -15712, -12711, -10305, -11180, -13053, -10619, -4622,
    -574, 2036,
  2108, 1348, 841, 257, 180, 423, 946, 3220, 6519, 8143, 7180, 5164, 3451,
    2157, 1832, 2537, 2427, 15, -3977, -7959, -10718, -12205, -13504, -14473,
    -14176, -13124, -12386, -11968, -10624, -7948, -5338, -3135, 1287,
  428, 538, 1469, 1689, 742, -701, -844, 1282, 3369, 3385, 2135, 1265, 1194,
    643, -1108, -2920, -3724, -3911, -3906, -3719, -3851, -4996, -7078,
    -8598, -8394, -7331, -6968, -7761, -8504, -7959, -5569, -216, 8512,
  4063, 4536, 4002, 1733, -1775, -4275, -4633, -3630, -2579, -2188, -2419,
    -3509, -5751, -8328, -9914, -9677, -7199, -3531, -938, -569, -1736,
    -2689, -2650, -2336, -2452, -3465, -5745, -8273, -8113, -3680, 3589,
    11469, 17483,
  9377, 7158, 3545, -194, -3096, -4170, -4473, -5062, -5327, -5227, -5552,
    -7144, -9534, -10586, -9385, -7535, -6042, -4567, -3531, -3416, -3867,
    -4649, -6125, -7827, -8482, -8190, -7656, -5938, -1637, 4255, 9454,
    12824, 13419,
  9063, 6354, 2813, 379, -629, -1587, -3757, -6560, -8333, -7964, -6692,
    -6841, -7601, -7144, -6009, -5563, -5938, -6257, -6235, -6367, -7298,
    -9534, -12419, -13405, -10817, -6533, -2876, 175, 3292, 5880, 7279, 8292,
    9272,
  5114, 4382, 2460, 1706, 1948, 1238, -624, -2391, -2926, -1290, 902, 1139,
    384, -172, -1213, -2793, -4253, -5084, -5238, -5475, -6918, -9231,
    -10613, -9446, -5872, -2171, 384, 2702, 5136, 6822, 7593, 8534, 9470,
  -965, -3377, -5706, -6455, -5932, -5145, -4275, -2936, -1147, 59, -216,
    -1571, -3212, -4566, -5023, -4842, -5128, -6235, -7683, -8845, -9451,
    -9936, -10696, -11500, -11356, -9787, -7182, -4390, -3157, -3873, -4418,
    -3773, -2193,
  -4137, -5960, -6499, -6951, -7364, -7518, -6852, -5156, -3812, -4181,
    -5442, -5811, -4902, -3724, -2843, -2441, -3322, -5464, -7144, -6989,
    -5717, -4825, -4853, -5403, -5547, -4440, -2463, -1807, -3718, -5442,
    -4522, -2336, 340,
  -3157, -3432, -3779, -5607, -7369, -8058, -7848, -6863, -6406, -7380,
    -8212, -7584, -6290, -5618, -5596, -5337, -4528, -3548, -2507, -1400,
    -646, -519, -849, -1383, -1620, -1328, -1367, -2567, -3344, -1741, 571,
    1590, 2642,
  153, -491, -1890, -3900, -5530, -6119, -6026, -5079, -3939, -3713, -4060,
    -4776, -6042, -7369, -8085, -7573, -5442, -2843, -1697, -1962, -2182,
    -2110, -2744, -4038, -4666, -4324, -3790, -2722, 59, 2631, 2042, 302, 676,
  2581, 808, -1444, -3515, -5062, -5123, -4005, -2694, -1929, -1648, -1830,
    -3465, -6152, -8058, -8339, -7557, -6329, -5178, -4588, -4297, -4313,
    -5668, -8443, -10371, -9881, -7887, -5376, -2744, -932, -1224, -2540,
    -1962, 461,
  2851, 467, -2265, -3537, -3823, -3906, -3801, -3652, -3498, -2479, -1505,
    -2578, -4693, -5508, -4484, -3096, -2832, -3294, -3129, -2386, -2810,
    -5299, -8162, -8476, -6444, -4583, -3619, -3393, -3889, -4379, -3184,
    -144, 2262,
  4707, 2763, 219, 98, 1051, 682, -712, -2077, -2738, -2204, -1791, -2485,
    -2848, -1763, 131, 1276, 946, -117, -723, -1092, -1940, -2463, -1863,
    -458, 533, 726, 329, -877, -1659, -1202, -128, 1051, 1342,
  -2109, -2307, -2667, -3166, -3986, -5492, -6795, -6539, -5008, -3829,
    -3378, -3080, -2783, -2175, -1354, -1271, -2249, -3463, -4372, -4757,
    -4209, -3174, -2464, -1665, -892, -1522, -2439, -1360, -162, -1770,
    -3372, -346, 4381,
  -1087, -1949, -3623, -5369, -7241, -9039, -8764, -6657, -5278, -5594,
    -6087, -5559, -4782, -4443, -4344, -4551, -4878, -4815, -4322, -3254,
    -1572, 17, 989, 1358, 761, -553, -748, 80, -324, -1029, 639, 2892, 2454,
  323, -955, -2904, -4851, -5614, -4507, -2004, -352, -814, -2241, -3119,
    -2822, -1869, -1781, -2913, -3884, -4132, -4465, -5022, -4815, -3706,
    -2723, -2519, -3094, -3895, -3744, -2439, -1167, -206, 612, 268, -1500,
    -2541,
  -200, -1318, -2626, -4052, -3524, -591, 2002, 2804, 2380, 1658, 1416, 1741,
    2253, 1856, 430, -569, -1010, -1698, -2458, -2500, -1707, -1836, -4171,
    -6729, -6949, -4702, -1778, 339, 1504, 1154, -572, -1274, 634,
  -2136, -2667, -3006, -2951, -1919, -619, -272, 527, 2082, 3404, 4803, 5744,
    5474, 4475, 3696, 3698, 4106, 4748, 5447, 5298, 4288, 2592, 452, -324,
    964, 3140, 5172, 6322, 6333, 5711, 5576, 5973, 6289,
  518, -569, -1481, -897, 83, 163, 28, 1231, 3324, 5293, 6565, 5954, 4241,
    4021, 5408, 6559, 6947, 7201, 7468, 7033, 5874, 5150, 5868, 7652, 8476,
    7639, 6584, 6625, 7826, 8773, 8622, 7482, 5865,
  6042, 4252, 2980, 3104, 3112, 2393, 1710, 940, 75, -88, 259, 400, 873,
    2619, 4874, 6444, 7658, 8484, 8178, 6975, 6212, 6843, 8233, 8971, 7944,
    5827, 4219, 4034, 4937, 4935, 3726, 2859, 2319,
  2995, 2461, 2502, 2599, 3551, 5082, 5743, 5760, 5619, 5820, 7494, 10014,
    11767, 12627, 12412, 10658, 7971, 4823, 1946, 605, 366, -14, -370, -661,
    -1848, -3379, -3643, -2897, -2641, -2820, -2402, -2363, -2842,
  3634, 2750, 1952, 1916, 2593, 3350, 3711, 3158, 2698, 4537, 8455, 11162,
    11525, 11332, 10421, 8678, 7480, 6415, 4936, 3637, 3028, 3089, 2756,
    1139, -1430, -3550, -3996, -2914, -1251, -28, 233, -262, -375,
  2670, 2530, 1059, 966, 1296, 148, -1088, -1554, -177, 3191, 6261, 7648,
    7816, 7626, 7376, 7428, 7524, 6877, 5969, 4969, 3692, 2563, 1514, 495,
    -304, -529, 90, 944, 960, 8, -573, -14, 897,
  1665, 1844, 900, 1773, 2926, 1695, -130, -849, 132, 1734, 2629, 3667, 4788,
    5454, 6357, 7323, 7037, 5586, 4576, 3854, 1998, -160, -237, 1500, 2354,
    1894, 1456, 743, -884, -2121, -1722, -818, -389,
  1470, 1318, 1712, 3078, 3510, 2271, 1574, 1800, 1594, 1018, 1302, 2337,
    2910, 3331, 4127, 4270, 3292, 2301, 1965, 1211, -664, -1815, -623, 966,
    773, -295, -1044, -1545, -2074, -2834, -3715, -3968, -2597,
  -1209, -700, 1329, 2219, 1076, 280, 1247, 2425, 1773, 327, 109, 569, 988,
    1497, 1596, 1062, 677, 1211, 1918, 1274, -293, -1072, -1220, -1881,
    -2305, -1697, -1212, -1218, -1300, -2542, -4624, -4604, -1680,
  -4368, -3054, -1055, -882, -1295, 5, 1439, 1963, 1916, 1087, -348, -1460,
    -1278, -375, 244, 850, 1976, 3301, 3744, 3306, 3193, 3149, 2271, 1269,
    916, 801, 357, 21, 443, 776, 732, 1258, 2188,
  8286, 8566, 8313, 6053, 2481, -346, -1095, -542, 961, 3203, 5158, 6008,
    5730, 4866, 3842, 4326, 6887, 9373, 10260, 8643, 5334, 3134, 2806, 3236,
    3652, 3550, 2704, 1922, 2341, 4398, 7239, 8046, 5989,
  8186, 7944, 7815, 6226, 3751, 2038, 229, -1654, -1362, 733, 2302, 2247,
    1223, 760, 1248, 2294, 3475, 4629, 5623, 5863, 5083, 3349, 1807, 1953,
    3442, 5147, 6262, 6086, 4725, 4632, 6846, 7333, 4337,
  6438, 5282, 5048, 4199, 2627, 1730, 235, -1641, -1800, -1084, -721, -801,
    -905, 334, 2291, 2506, 1096, 383, 1443, 3811, 5260, 4420, 3864, 4690,
    5527, 6220, 6176, 4590, 2677, 2823, 4480, 4511, 2556,
  3040, 2859, 2878, 2071, 860, 251, -294, -927, -1266, -1858, -2205, -1718,
    -625, 1039, 2401, 2313, 1372, 1151, 2534, 4822, 5816, 5896, 7038, 7795,
    7625, 7170, 5279, 2757, 1677, 2033, 1790, 928, 983,
  964, 692, -123, -812, -652, 135, 309, -407, -1161, -1883, -2414, -1924, 53,
    2176, 3062, 3327, 3500, 3803, 5028, 6488, 6967, 7454, 7941, 7418, 7267,
    6859, 5130, 4180, 4009, 2814, -13, -2502, -2767,
  1341, -324, -1759, -2197, -2180, -2304, -3061, -2904, -1233, -212, -374,
    130, 2178, 3987, 4453, 4621, 4712, 4736, 5276, 6028, 6950, 8197, 8674,
    8272, 7718, 6355, 4902, 4370, 3214, 978, -1616, -3640, -4311,
  670, -872, -1924, -2951, -4066, -5159, -5556, -3342, -159, 1099, 1501,
    2988, 4893, 5345, 4629, 3908, 3338, 3324, 4004, 5081, 6686, 8109, 8393,
    7479, 5488, 3897, 3759, 3186, 1237, -776, -2398, -3587, -3964,
  5297, 3948, 2177, 1494, 1960, 1935, 1428, 1508, 1277, 759, 924, 1467, 2610,
    3543, 2755, 1313, 649, 569, 517, 478, 1230, 3014, 4834, 6371, 8006, 9523,
    9892, 8342, 6134, 3887, 2119, 2563, 2750,
  4859, 3700, 2612, 2254, 2012, 1293, 1189, 2152, 2640, 2376, 2532, 3504,
    4859, 5046, 3499, 2075, 1773, 2059, 2607, 3400, 4939, 6979, 8221, 8852,
    9333, 8907, 7637, 6206, 4779, 2811, 946, 437, -271,
  5099, 5121, 5066, 4661, 3694, 2918, 3075, 3785, 4347, 3973, 2937, 2486,
    2323, 1552, 1010, 1569, 2615, 3791, 5258, 6872, 8430, 9020, 7924, 6434,
    5875, 6024, 6627, 7081, 5748, 2921, 1040, 426, -149,
  7907, 7825, 7403, 6773, 5638, 4609, 3992, 3111, 2095, 963, 211, 283, -218,
    -1130, -741, 668, 1938, 3105, 4471, 5795, 6825, 7109, 6503, 5410, 4851,
    5641, 6756, 6704, 4914, 2918, 2089, 1244, 432,
  10154, 9835, 8964, 7585, 5380, 2700, 757, -452, -1441, -2435, -2663, -2046,
    -2239, -2875, -2630, -1548, -130, 924, 1497, 2243, 3683, 5335, 6635,
    7048, 6525, 6038, 5382, 4091, 2926, 3083, 3488, 2488, 1527,
  11685, 11385, 10226, 8284, 5765, 2601, 377, -714, -1719, -2757, -3531,
    -3968, -4343, -4268, -3933, -3699, -3363, -3175, -2724, -1466, 470, 2326,
    3920, 5495, 6354, 6217, 5134, 3273, 1880, 2276, 2923, 2469, 2029,
  10944, 10289, 8579, 6938, 5768, 3887, 1855, -609, -3503, -4731, -4293,
    -3778, -3453, -2743, -2396, -3035, -3941, -4359, -3506, -2247, -1661,
    -1072, 225, 1971, 3067, 2926, 1880, 911, 1112, 2320, 2772, 2265, 1844,
  11109, 6287, 2771, 973, -340, -1898, -2047, -497, 748, 1216, 2166, 3911,
    4324, 2738, 1783, 2479, 2959, 1422, -1984, -5539, -7986, -9300, -9063,
    -7259, -6309, -7659, -9258, -9391, -8482, -6100, -2584, -505, 607,
  15580, 10831, 6838, 3881, 2146, 2617, 5976, 9919, 11403, 10682, 8939, 5896,
    1265, -3473, -6348, -6706, -5192, -3823, -3774, -4021, -3495, -3187,
    -4991, -8127, -10162, -10241, -9181, -8493, -8468, -6703, -2636, 299, 827,
  15594, 11948, 7626, 3950, 3374, 7414, 13532, 17208, 17133, 15167, 11833,
    7188, 2736, -849, -4374, -7562, -8719, -8044, -6610, -4357, -1863, -1298,
    -4244, -8419, -10214, -9349, -8209, -8019, -7791, -6634, -4569, -2777,
    -2325,
  17353, 12752, 8146, 5941, 8881, 15941, 21401, 21536, 17791, 13857, 11343,
    9972, 8650, 6020, 2168, -2394, -6753, -9415, -9605, -8052, -6538, -6802,
    -8947, -10451, -10101, -9129, -8507, -8402, -8777, -9647, -9718, -8573,
    -6819,
  17004, 14757, 14154, 15137, 18433, 22142, 22321, 18422, 13620, 11948,
    12912, 12111, 7824, 2763, 202, -715, -2584, -5387, -7273, -8006, -8738,
    -9680, -10564, -10340, -8669, -6973, -6888, -8870, -11635, -13298,
    -12251, -9206, -4735,
  16029, 19796, 23521, 25314, 23956, 20044, 15583, 12450, 12199, 15495,
    18116, 14614, 6846, 1505, 1411, 3793, 5131, 3352, -547, -3991, -6042,
    -6161, -5186, -4941, -5610, -6863, -9341, -12348, -13612, -12499, -9424,
    -5296, -489,
  20275, 24380, 25303, 24342, 20528, 15112, 11692, 12169, 16288, 20820,
    21792, 18978, 15041, 12620, 12034, 11508, 10365, 7477, 2468, -1890,
    -3586, -2705, -1307, -2515, -6521, -10310, -12290, -12505, -10539, -6954,
    -2730, 993, 3179,
  1846, 1042, 522, 2667, 6535, 9443, 10481, 10729, 11932, 13190, 12799,
    11048, 8851, 7424, 6709, 5329, 3806, 3154, 2892, 2025, 21, -2692, -5715,
    -7901, -7461, -5239, -4121, -4969, -5759, -5467, -5024, -5373, -6987,
  -225, -2312, -186, 3358, 4787, 5654, 6422, 5874, 5588, 6521, 7270, 5954,
    2606, 472, 1805, 4960, 7138, 7270, 5657, 1810, -4046, -8851, -9680,
    -7067, -4809, -5294, -6723, -6244, -2860, 1158, 2967, 1796, -1654,
  6475, 4203, 4831, 4699, 2576, 995, 43, -750, -907, -679, -514, -1634,
    -3768, -4198, -1436, 3217, 6731, 7543, 6293, 3069, -1246, -3928, -3237,
    -412, 1306, 1408, 1678, 2562, 4861, 8325, 10225, 9008, 6648,
  7237, 10194, 12003, 10858, 6866, 1417, -2414, -2838, -3383, -5786, -7774,
    -9253, -9570, -7656, -4958, -1761, 2645, 7257, 10269, 10880, 10057, 9261,
    9468, 10974, 12785, 14005, 14148, 13956, 15186, 16337, 15112, 13160, 13320,
  10205, 16114, 18771, 17050, 11310, 4481, 370, -1073, -4410, -9385, -11935,
    -11635, -9402, -6783, -5038, -2744, 1163, 5164, 7849, 9955, 12199, 14148,
    15743, 16885, 17221, 17497, 18708, 21181, 23262, 21971, 18540, 16640,
    16131,
  12780, 12092, 10164, 7091, 4465, 3583, 2424, -398, -4892, -9377, -11431,
    -9570, -5464, -3074, -2224, -704, 984, 1546, 1835, 4715, 9999, 13997,
    15288, 15820, 17670, 21505, 25974, 28425, 27340, 23816, 20578, 17995,
    14374,
  4930, -819, -3044, -3047, -1128, 1887, 4148, 4319, 1042, -4010, -7147,
    -6585, -4545, -3567, -2414, -731, 805, 2760, 5392, 9178, 13405, 15773,
    16588, 19619, 25787, 31258, 32767, 30336, 26511, 22888, 18736, 13785, 9666,
  5955, 7194, 12750, 19788, 22718, 22261, 22393, 23714, 23659, 20873, 16186,
    10658, 4997, -912, -6408, -9922, -12295, -15010, -18132, -21144, -22141,
    -19740, -15555, -12218, -10406, -8671, -5417, -670, 3042, 4005, 4374,
    5118, 4765,
  5382, 8626, 13009, 15851, 17651, 19948, 21517, 21765, 21132, 18593, 14000,
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    -16271, -12945, -9509, -6215, -3715, -2284, -1171, 173, 2221, 4760, 5872,
    5299,
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  6666, 4213, 2580, 1410, 774, 1019, 2128, 3241, 4089, 6088, 8524, 9629,
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    3409, 5129, 6768, 7968, 7621, 7250, 7624, 6845, 5317,
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    3838, 4694, 5507, 6355, 6542, 6867, 7508, 7687, 7839,
  614, 3, -320, -664, 195, 906, 1357, 2164, 3453, 4832, 5867, 7016, 7853,
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    1142, 1352, 2387, 3282, 3934, 4738, 5807, 7139,
  575, 215, 493, 1021, 1112, 253, 22, 2018, 5771, 8670, 10083, 10975, 11471,
    12200, 12465, 10779, 8607, 7599, 6649, 4813, 3161, 2580, 2450, 2324,
    1966, 972, 198, 462, 1046, 1481, 2464, 4108, 5044,
  3166, 3835, 4177, 3563, 1495, -36, 531, 3502, 7409, 9122, 9276, 9736,
    10355, 10545, 9045, 6418, 4835, 4045, 2861, 1935, 2225, 3208, 3623, 3078,
    2120, 1013, -292, -1104, -672, 380, 1825, 3538, 3546,
  5113, 5564, 5196, 3849, 1644, 551, 1008, 2260, 2954, 2329, 2175, 3111,
    3706, 2940, 1346, 250, -298, -655, -410, 625, 1407, 1120, 545, 239, 102,
    154, -72, -380, 449, 1933, 3246, 3956, 2693,
  3733, 3549, 3659, 3968, 3524, 2475, 1388, 261, -777, -578, 440, 696, -185,
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  -287, 432, 875, 1043, 2175, 3246, 4882, 6845, 7696, 6547, 4493, 3604, 3095,
    2519, 3103, 5036, 7299, 8461, 8354, 7332, 5273, 2808, 1275, 1027, 1200,
    1063, 1200, 2795, 4207, 3373, 1674, 1310, 3417,
  765, 1057, 2134, 4213, 6638, 8032, 8153, 6977, 5661, 4609, 4080, 4962,
    5939, 6536, 7586, 9188, 10785, 11297, 10664, 8871, 5741, 2844, 2197,
    3276, 3962, 3800, 3868, 4700, 4405, 2035, -562, -2423, -1917,
  3934, 3791, 4248, 5834, 7233, 8546, 8494, 5644, 2624, 1787, 2974, 5427,
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    8841, 7018, 4579, 2839, 1517, 564, 807, 2596, 4394, 4722, 3849, 2690,
    3197, 4810, 4675, 3199, 2046, 1613, 895, -289,
  1936, 4193, 4047, 2855, 2365, 2643, 2434, 1093, 366, 2544, 5730, 7145,
    6724, 4799, 2467, 741, -587, -1151, 146, 2751, 4229, 3428, 1630, 537,
    366, 743, 972, 804, 1357, 2219, 2065, 685, -372,
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    1366, 512, -440, -198, 1771, 3640, 3310, 1113, -851,
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}