#include <stdio.h>
#include <math.h>

double cs_l_t[101][360] = {
{ 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000, 0.000000 },
{ 1.000000, 0.999848, 0.999391, 0.998630, 0.997564, 0.996195, 0.994522, 0.992546, 0.990268, 0.987688, 0.984808, 0.981627, 0.978148, 0.974370, 0.970296, 0.965926, 0.961262, 0.956305, 0.951057, 0.945519, 0.939693, 0.933580, 0.927184, 0.920505, 0.913545, 0.906308, 0.898794, 0.891007, 0.882948, 0.874620, 0.866025, 0.857167, 0.848048, 0.838671, 0.829038, 0.819152, 0.809017, 0.798636, 0.788011, 0.777146, 0.766044, 0.754710, 0.743145, 0.731354, 0.719340, 0.707107, 0.694658, 0.681998, 0.669131, 0.656059, 0.642788, 0.629320, 0.615661, 0.601815, 0.587785, 0.573576, 0.559193, 0.544639, 0.529919, 0.515038, 0.500000, 0.484810, 0.469472, 0.453990, 0.438371, 0.422618, 0.406737, 0.390731, 0.374607, 0.358368, 0.342020, 0.325568, 0.309017, 0.292372, 0.275637, 0.258819, 0.241922, 0.224951, 0.207912, 0.190809, 0.173648, 0.156434, 0.139173, 0.121869, 0.104528, 0.087156, 0.069756, 0.052336, 0.034899, 0.017452, 0.000000 },
{ 2.000000, 1.999695, 1.998782, 1.997259, 1.995128, 1.992389, 1.989044, 1.985092, 1.980536, 1.975377, 1.969616, 1.963254, 1.956295, 1.948740, 1.940591, 1.931852, 1.922523, 1.912610, 1.902113, 1.891037, 1.879385, 1.867161, 1.854368, 1.841010, 1.827091, 1.812616, 1.797588, 1.782013, 1.765895, 1.749239, 1.732051, 1.714335, 1.696096, 1.677341, 1.658075, 1.638304, 1.618034, 1.597271, 1.576022, 1.554292, 1.532089, 1.509419, 1.486290, 1.462707, 1.438680, 1.414214, 1.389317, 1.363997, 1.338261, 1.312118, 1.285575, 1.258641, 1.231323, 1.203630, 1.175571, 1.147153, 1.118386, 1.089278, 1.059839, 1.030076, 1.000000, 0.969619, 0.938943, 0.907981, 0.876742, 0.845237, 0.813473, 0.781462, 0.749213, 0.716736, 0.684040, 0.651136, 0.618034, 0.584743, 0.551275, 0.517638, 0.483844, 0.449902, 0.415823, 0.381618, 0.347296, 0.312869, 0.278346, 0.243739, 0.209057, 0.174311, 0.139513, 0.104672, 0.069799, 0.034905, 0.000000 },
{ 3.000000, 2.999543, 2.998172, 2.995889, 2.992692, 2.988584, 2.983566, 2.977638, 2.970804, 2.963065, 2.954423, 2.944882, 2.934443, 2.923110, 2.910887, 2.897777, 2.883785, 2.868914, 2.853170, 2.836556, 2.819078, 2.800741, 2.781552, 2.761515, 2.740636, 2.718923, 2.696382, 2.673020, 2.648843, 2.623859, 2.598076, 2.571502, 2.544144, 2.516012, 2.487113, 2.457456, 2.427051, 2.395907, 2.364032, 2.331438, 2.298133, 2.264129, 2.229434, 2.194061, 2.158019, 2.121320, 2.083975, 2.045995, 2.007392, 1.968177, 1.928363, 1.887961, 1.846984, 1.805445, 1.763356, 1.720729, 1.677579, 1.633917, 1.589758, 1.545114, 1.500000, 1.454429, 1.408415, 1.361971, 1.315113, 1.267855, 1.220210, 1.172193, 1.123820, 1.075104, 1.026060, 0.976704, 0.927051, 0.877115, 0.826912, 0.776457, 0.725766, 0.674853, 0.623735, 0.572427, 0.520945, 0.469303, 0.417519, 0.365608, 0.313585, 0.261467, 0.209269, 0.157008, 0.104698, 0.052357, 0.000000 },
{ 4.000000, 3.999391, 3.997563, 3.994518, 3.990256, 3.984779, 3.978088, 3.970185, 3.961072, 3.950753, 3.939231, 3.926509, 3.912590, 3.897480, 3.881183, 3.863703, 3.845047, 3.825219, 3.804226, 3.782074, 3.758770, 3.734322, 3.708735, 3.682019, 3.654182, 3.625231, 3.595176, 3.564026, 3.531790, 3.498479, 3.464102, 3.428669, 3.392192, 3.354682, 3.316150, 3.276608, 3.236068, 3.194542, 3.152043, 3.108584, 3.064178, 3.018838, 2.972579, 2.925415, 2.877359, 2.828427, 2.778633, 2.727993, 2.676522, 2.624236, 2.571150, 2.517282, 2.462646, 2.407260, 2.351141, 2.294306, 2.236772, 2.178556, 2.119677, 2.060152, 2.000000, 1.939238, 1.877886, 1.815962, 1.753485, 1.690473, 1.626947, 1.562925, 1.498426, 1.433472, 1.368081, 1.302273, 1.236068, 1.169487, 1.102549, 1.035276, 0.967688, 0.899804, 0.831647, 0.763236, 0.694593, 0.625738, 0.556692, 0.487477, 0.418114, 0.348623, 0.279026, 0.209344, 0.139598, 0.069810, 0.000000 },
{ 5.000000, 4.999238, 4.996954, 4.993148, 4.987820, 4.980973, 4.972609, 4.962731, 4.951340, 4.938442, 4.924039, 4.908136, 4.890738, 4.871850, 4.851479, 4.829629, 4.806308, 4.781524, 4.755283, 4.727593, 4.698463, 4.667902, 4.635919, 4.602524, 4.567727, 4.531539, 4.493970, 4.455033, 4.414738, 4.373099, 4.330127, 4.285837, 4.240240, 4.193353, 4.145188, 4.095760, 4.045085, 3.993178, 3.940054, 3.885730, 3.830222, 3.773548, 3.715724, 3.656769, 3.596699, 3.535534, 3.473292, 3.409992, 3.345653, 3.280295, 3.213938, 3.146602, 3.078307, 3.009075, 2.938926, 2.867882, 2.795965, 2.723195, 2.649596, 2.575190, 2.500000, 2.424048, 2.347358, 2.269952, 2.191856, 2.113091, 2.033683, 1.953656, 1.873033, 1.791840, 1.710101, 1.627841, 1.545085, 1.461859, 1.378187, 1.294095, 1.209609, 1.124755, 1.039558, 0.954045, 0.868241, 0.782172, 0.695866, 0.609347, 0.522642, 0.435779, 0.348782, 0.261680, 0.174497, 0.087262, 0.000000 },
{ 6.000000, 5.999086, 5.996345, 5.991777, 5.985384, 5.977168, 5.967131, 5.955277, 5.941608, 5.926130, 5.908847, 5.889763, 5.868886, 5.846220, 5.821774, 5.795555, 5.767570, 5.737829, 5.706339, 5.673111, 5.638156, 5.601483, 5.563103, 5.523029, 5.481273, 5.437847, 5.392764, 5.346039, 5.297686, 5.247718, 5.196152, 5.143004, 5.088289, 5.032023, 4.974225, 4.914912, 4.854102, 4.791813, 4.728065, 4.662876, 4.596267, 4.528257, 4.458869, 4.388122, 4.316039, 4.242641, 4.167950, 4.091990, 4.014784, 3.936354, 3.856726, 3.775922, 3.693969, 3.610890, 3.526712, 3.441459, 3.355157, 3.267834, 3.179516, 3.090228, 3.000000, 2.908858, 2.816829, 2.723943, 2.630227, 2.535710, 2.440420, 2.344387, 2.247640, 2.150208, 2.052121, 1.953409, 1.854102, 1.754230, 1.653824, 1.552914, 1.451531, 1.349706, 1.247470, 1.144854, 1.041889, 0.938607, 0.835039, 0.731216, 0.627171, 0.522934, 0.418539, 0.314016, 0.209397, 0.104714, 0.000000 },
{ 7.000000, 6.998934, 6.995736, 6.990407, 6.982948, 6.973363, 6.961653, 6.947823, 6.931876, 6.913818, 6.893654, 6.871390, 6.847033, 6.820590, 6.792070, 6.761481, 6.728832, 6.694133, 6.657396, 6.618630, 6.577848, 6.535063, 6.490287, 6.443534, 6.394818, 6.344155, 6.291558, 6.237046, 6.180633, 6.122338, 6.062178, 6.000171, 5.936337, 5.870694, 5.803263, 5.734064, 5.663119, 5.590449, 5.516075, 5.440022, 5.362311, 5.282967, 5.202014, 5.119476, 5.035379, 4.949747, 4.862609, 4.773989, 4.683914, 4.592413, 4.499513, 4.405243, 4.309630, 4.212705, 4.114497, 4.015035, 3.914350, 3.812473, 3.709435, 3.605267, 3.500000, 3.393667, 3.286301, 3.177933, 3.068598, 2.958328, 2.847157, 2.735118, 2.622246, 2.508576, 2.394141, 2.278977, 2.163119, 2.046602, 1.929461, 1.811733, 1.693453, 1.574657, 1.455382, 1.335663, 1.215537, 1.095041, 0.974212, 0.853085, 0.731699, 0.610090, 0.488295, 0.366352, 0.244296, 0.122167, 0.000000 },
{ 8.000000, 7.998782, 7.995127, 7.989036, 7.980512, 7.969558, 7.956175, 7.940369, 7.922145, 7.901507, 7.878462, 7.853017, 7.825181, 7.794961, 7.762366, 7.727407, 7.690094, 7.650438, 7.608452, 7.564149, 7.517541, 7.468643, 7.417471, 7.364039, 7.308364, 7.250462, 7.190352, 7.128052, 7.063581, 6.996958, 6.928203, 6.857338, 6.784385, 6.709365, 6.632301, 6.553216, 6.472136, 6.389084, 6.304086, 6.217168, 6.128356, 6.037677, 5.945159, 5.850830, 5.754718, 5.656854, 5.557267, 5.455987, 5.353045, 5.248472, 5.142301, 5.034563, 4.925292, 4.814520, 4.702282, 4.588611, 4.473543, 4.357112, 4.239354, 4.120305, 4.000000, 3.878477, 3.755773, 3.631924, 3.506969, 3.380946, 3.253893, 3.125849, 2.996853, 2.866944, 2.736161, 2.604545, 2.472136, 2.338974, 2.205099, 2.070552, 1.935375, 1.799608, 1.663294, 1.526472, 1.389185, 1.251476, 1.113385, 0.974955, 0.836228, 0.697246, 0.558052, 0.418688, 0.279196, 0.139619, 0.000000 },
{ 9.000000, 8.998629, 8.994517, 8.987666, 8.978076, 8.965752, 8.950697, 8.932915, 8.912413, 8.889195, 8.863270, 8.834645, 8.803328, 8.769331, 8.732662, 8.693332, 8.651355, 8.606743, 8.559509, 8.509667, 8.457234, 8.402224, 8.344655, 8.284544, 8.221909, 8.156770, 8.089146, 8.019059, 7.946528, 7.871577, 7.794229, 7.714506, 7.632433, 7.548035, 7.461338, 7.372368, 7.281153, 7.187720, 7.092097, 6.994314, 6.894400, 6.792386, 6.688303, 6.582183, 6.474058, 6.363961, 6.251925, 6.137985, 6.022175, 5.904531, 5.785088, 5.663884, 5.540953, 5.416335, 5.290067, 5.162188, 5.032736, 4.901751, 4.769273, 4.635343, 4.500000, 4.363287, 4.225244, 4.085914, 3.945340, 3.803564, 3.660630, 3.516580, 3.371459, 3.225312, 3.078181, 2.930113, 2.781153, 2.631345, 2.480736, 2.329371, 2.177297, 2.024559, 1.871205, 1.717281, 1.562834, 1.407910, 1.252558, 1.096824, 0.940756, 0.784402, 0.627808, 0.471024, 0.314095, 0.157072, 0.000000 },
{ 10.000000, 9.998477, 9.993908, 9.986295, 9.975641, 9.961947, 9.945219, 9.925462, 9.902681, 9.876883, 9.848078, 9.816272, 9.781476, 9.743701, 9.702957, 9.659258, 9.612617, 9.563048, 9.510565, 9.455186, 9.396926, 9.335804, 9.271839, 9.205049, 9.135455, 9.063078, 8.987940, 8.910065, 8.829476, 8.746197, 8.660254, 8.571673, 8.480481, 8.386706, 8.290376, 8.191520, 8.090170, 7.986355, 7.880108, 7.771460, 7.660444, 7.547096, 7.431448, 7.313537, 7.193398, 7.071068, 6.946584, 6.819984, 6.691306, 6.560590, 6.427876, 6.293204, 6.156615, 6.018150, 5.877853, 5.735764, 5.591929, 5.446390, 5.299193, 5.150381, 5.000000, 4.848096, 4.694716, 4.539905, 4.383711, 4.226183, 4.067366, 3.907311, 3.746066, 3.583679, 3.420201, 3.255682, 3.090170, 2.923717, 2.756374, 2.588190, 2.419219, 2.249511, 2.079117, 1.908090, 1.736482, 1.564345, 1.391731, 1.218693, 1.045285, 0.871557, 0.697565, 0.523360, 0.348995, 0.174524, 0.000000 },
{ 11.000000, 10.998325, 10.993299, 10.984925, 10.973205, 10.958142, 10.939741, 10.918008, 10.892949, 10.864572, 10.832885, 10.797899, 10.759624, 10.718071, 10.673253, 10.625184, 10.573879, 10.519352, 10.461622, 10.400704, 10.336619, 10.269385, 10.199022, 10.125553, 10.049000, 9.969386, 9.886735, 9.801072, 9.712424, 9.620817, 9.526279, 9.428840, 9.328529, 9.225376, 9.119413, 9.010672, 8.899187, 8.784991, 8.668118, 8.548606, 8.426489, 8.301805, 8.174593, 8.044891, 7.912738, 7.778175, 7.641242, 7.501982, 7.360437, 7.216649, 7.070664, 6.922524, 6.772276, 6.619965, 6.465638, 6.309341, 6.151122, 5.991029, 5.829112, 5.665419, 5.500000, 5.332906, 5.164187, 4.993895, 4.822083, 4.648801, 4.474103, 4.298042, 4.120673, 3.942047, 3.762222, 3.581250, 3.399187, 3.216089, 3.032011, 2.847009, 2.661141, 2.474462, 2.287029, 2.098899, 1.910130, 1.720779, 1.530904, 1.340563, 1.149813, 0.958713, 0.767321, 0.575696, 0.383894, 0.191976, 0.000000 },
{ 12.000000, 11.998172, 11.992690, 11.983554, 11.970769, 11.954336, 11.934263, 11.910554, 11.883217, 11.852260, 11.817693, 11.779526, 11.737771, 11.692441, 11.643549, 11.591110, 11.535140, 11.475657, 11.412678, 11.346223, 11.276311, 11.202965, 11.126206, 11.046058, 10.962545, 10.875693, 10.785529, 10.692078, 10.595371, 10.495436, 10.392305, 10.286008, 10.176577, 10.064047, 9.948451, 9.829825, 9.708204, 9.583626, 9.456129, 9.325752, 9.192533, 9.056515, 8.917738, 8.776244, 8.632078, 8.485281, 8.335900, 8.183980, 8.029567, 7.872708, 7.713451, 7.551845, 7.387938, 7.221780, 7.053423, 6.882917, 6.710315, 6.535668, 6.359031, 6.180457, 6.000000, 5.817715, 5.633659, 5.447886, 5.260454, 5.071419, 4.880840, 4.688774, 4.495279, 4.300415, 4.104242, 3.906818, 3.708204, 3.508460, 3.307648, 3.105829, 2.903063, 2.699413, 2.494940, 2.289708, 2.083778, 1.877214, 1.670077, 1.462432, 1.254342, 1.045869, 0.837078, 0.628031, 0.418794, 0.209429, 0.000000 },
{ 13.000000, 12.998020, 12.992081, 12.982184, 12.968333, 12.950531, 12.928785, 12.903100, 12.873485, 12.839948, 12.802501, 12.761153, 12.715919, 12.666811, 12.613844, 12.557036, 12.496402, 12.431962, 12.363735, 12.291741, 12.216004, 12.136546, 12.053390, 11.966563, 11.876091, 11.782001, 11.684323, 11.583085, 11.478319, 11.370056, 11.258330, 11.143175, 11.024625, 10.902717, 10.777488, 10.648977, 10.517221, 10.382262, 10.244140, 10.102897, 9.958578, 9.811225, 9.660883, 9.507598, 9.351417, 9.192388, 9.030559, 8.865979, 8.698698, 8.528767, 8.356239, 8.181165, 8.003599, 7.823595, 7.641208, 7.456494, 7.269508, 7.080307, 6.888950, 6.695495, 6.500000, 6.302525, 6.103130, 5.901876, 5.698825, 5.494037, 5.287576, 5.079505, 4.869886, 4.658783, 4.446262, 4.232386, 4.017221, 3.800832, 3.583286, 3.364648, 3.144985, 2.924364, 2.702852, 2.480517, 2.257426, 2.033648, 1.809250, 1.584301, 1.358870, 1.133025, 0.906834, 0.680367, 0.453693, 0.226881, 0.000000 },
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{ 99.000000, 98.984922, 98.939692, 98.864324, 98.758841, 98.623275, 98.457668, 98.262069, 98.036539, 97.781146, 97.495968, 97.181091, 96.836612, 96.462636, 96.059277, 95.626657, 95.164908, 94.674171, 94.154595, 93.606339, 93.029569, 92.424462, 91.791202, 91.129980, 90.441000, 89.724471, 88.980611, 88.209646, 87.411812, 86.587351, 85.736515, 84.859563, 83.956762, 83.028386, 82.074720, 81.096052, 80.092682, 79.064915, 78.013065, 76.937450, 75.838400, 74.716248, 73.571338, 72.404016, 71.214640, 70.003571, 68.771179, 67.517838, 66.243930, 64.949844, 63.635973, 62.302719, 60.950486, 59.579687, 58.190740, 56.784067, 55.360097, 53.919264, 52.462007, 50.988769, 49.500000, 47.996152, 46.477685, 44.945059, 43.398744, 41.839208, 40.266928, 38.682382, 37.086053, 35.478427, 33.859994, 32.231247, 30.592682, 28.944799, 27.288098, 25.623085, 23.950268, 22.270154, 20.583257, 18.890091, 17.191170, 15.487012, 13.778137, 12.065065, 10.348318, 8.628419, 6.905891, 5.181260, 3.455050, 1.727788, 0.000000 },
{ 100.000000, 99.984770, 99.939083, 99.862953, 99.756405, 99.619470, 99.452190, 99.254615, 99.026807, 98.768834, 98.480775, 98.162718, 97.814760, 97.437006, 97.029573, 96.592583, 96.126170, 95.630476, 95.105652, 94.551858, 93.969262, 93.358043, 92.718385, 92.050485, 91.354546, 90.630779, 89.879405, 89.100652, 88.294759, 87.461971, 86.602540, 85.716730, 84.804810, 83.867057, 82.903757, 81.915204, 80.901699, 79.863551, 78.801075, 77.714596, 76.604444, 75.470958, 74.314483, 73.135370, 71.933980, 70.710678, 69.465837, 68.199836, 66.913061, 65.605903, 64.278761, 62.932039, 61.566148, 60.181502, 58.778525, 57.357644, 55.919290, 54.463904, 52.991926, 51.503807, 50.000000, 48.480962, 46.947156, 45.399050, 43.837115, 42.261826, 40.673664, 39.073113, 37.460659, 35.836795, 34.202014, 32.556815, 30.901699, 29.237170, 27.563736, 25.881905, 24.192190, 22.495105, 20.791169, 19.080900, 17.364818, 15.643447, 13.917310, 12.186934, 10.452846, 8.715574, 6.975647, 5.233596, 3.489950, 1.745241, 0.000000 } };


struct rameno_s
{
	int dlzka;
	int uhol;
	double x, y;
} ramena[11111];


void precompute()
{
	int i, j;

	for (i = 91; i <= 179; i++)
	for (j = 1; j <= 100; j++)
		cs_l_t[j][i] = - cs_l_t[j][180 - i];

	for (i = 180; i <= 270; i++)
	for (j = 1; j <= 100; j++)
		cs_l_t[j][i] = - cs_l_t[j][i - 180];

	for (i = 271; i < 359; i++)
	for (j = 1; j <= 100; j++)
		cs_l_t[j][i] = - cs_l_t[j][360 - i];
}

int main()
{
	int n, c, i, j, k, uhol, v;

	precompute();

	v = scanf("%d %d", &n, &c);

	while (v != EOF)
	{
		for (i = 0; i < n; i++)
		{
			scanf("%d", &ramena[i].dlzka);

			if (i == 0)
				ramena[i].y = ramena[i].dlzka;
			else
				ramena[i].y = ramena[i -1].y + ramena[i].dlzka;

			ramena[i].x = 0;
			ramena[i].uhol = 180;
		}

		for (i = 0; i < c; i++)
		{
			scanf("%d %d", &k, &uhol);

			for (j = k; j < n; j++)
			{
				ramena[j].uhol = (ramena[j].uhol + uhol) % 360;

				ramena[j].x = - cs_l_t[ramena[j].dlzka][(ramena[j].uhol + 270) % 360] + ramena[j -1].x;
				ramena[j].y = - cs_l_t[ramena[j].dlzka][ramena[j].uhol] + ramena[j -1].y;
/*				ramena[j].x = -ramena[j].dlzka * sin_t[ramena[j].uhol] + ramena[j -1].x;
				ramena[j].y = -ramena[j].dlzka * cos_t[ramena[j].uhol] + ramena[j -1].y;*/
			}

			if (ramena[n -1].x < 0 && ramena[n -1].x > -0.005)
				printf("0.00 ");
			else
				printf("%.2f ", ramena[n -1].x);

			if (ramena[n -1].y < 0 && ramena[n -1].y > -0.005)
				printf("0.00\n");
			else
				printf("%.2f\n", ramena[n -1].y);
		}

		v = scanf("%d %d", &n, &c);

		if (v != EOF)
			printf("\n");
	}

	return 0;
}