mfft_random_test.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "2ca6308a-9375-4f8c-9698-c8c94a82b034",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d9c750be-7c17-4ac2-91e9-f49fc18c9b65",
   "metadata": {},
   "outputs": [],
   "source": [
    "library(gtseries)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d7c6f147-e680-4988-8741-e850ac49118e",
   "metadata": {},
   "outputs": [],
   "source": [
    "data(harmonic_sample)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "862eb9eb-a175-431e-a342-c0f00cd65730",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "$data\n",
       "Time Series:\n",
       "Start = 0 \n",
       "End = 1023 \n",
       "Frequency = 1 \n",
       "   [1]  0.452551297  0.233560493 -0.459151204 -0.818581287 -0.823786694\n",
       "   [6] -0.811825009 -0.523659260 -0.316340844 -0.159277057 -0.281023591\n",
       "  [11] -0.780643757 -1.176626900 -1.214555744 -1.342126629 -1.417895368\n",
       "  [16] -1.015274546 -0.784494763 -0.820412319 -0.258372044 -0.589138614\n",
       "  [21] -0.620085288 -0.815775347 -0.558818327 -0.423370627 -0.312741344\n",
       "  [26] -0.119775850  0.309091532  0.701091539  0.814356712  0.872652584\n",
       "  [31]  0.997204015  0.973363914  0.887146227  0.964625581  0.796510268\n",
       "  [36]  1.371171439  1.691199047  2.089158982  1.890229913  2.078405285\n",
       "  [41]  1.825789361  1.072592263  1.039342156  0.939046343  1.005193835\n",
       "  [46]  1.301833028  1.299894803  1.489243761  1.204194168  0.512811432\n",
       "  [51]  0.169075833 -0.265953000 -0.697332634 -0.633010699 -0.676003086\n",
       "  [56] -0.474676460 -0.317675057 -0.673560792 -1.319927148 -1.310625057\n",
       "  [61] -1.843016712 -1.993360439 -2.046172023 -1.775661771 -1.678830729\n",
       "  [66] -1.519918571 -1.210487223 -1.270751439 -1.158810388 -1.594724393\n",
       "  [71] -1.329602753 -1.158081841 -1.162136370 -0.636277881 -0.380200903\n",
       "  [76]  0.346188451  0.510989347  0.801975624  0.948007804  0.742489480\n",
       "  [81]  0.771061036  0.944577492  1.184410417  1.546517479  2.038366973\n",
       "  [86]  2.485815343  2.435050770  2.518910567  2.217024237  1.844991233\n",
       "  [91]  1.502149256  1.535390246  1.750976668  2.121131519  2.076491014\n",
       "  [96]  1.971420093  1.812047050  1.137008146  0.817722480  0.315097402\n",
       " [101] -0.028493763 -0.214350379 -0.258243314 -0.369455158 -0.413391815\n",
       " [106] -0.529628517 -1.154729940 -1.434818260 -1.840924567 -2.346554201\n",
       " [111] -2.242184027 -2.267216669 -2.079380570 -1.680240274 -2.045369101\n",
       " [116] -1.865558081 -1.724897600 -1.825011657 -1.988344753 -1.913552474\n",
       " [121] -1.633571964 -1.472202555 -0.713695318 -0.362509085 -0.309938444\n",
       " [126]  0.450404230  0.321276268  0.305256991  0.397313247  0.626187693\n",
       " [131]  0.871273452  1.275165860  1.660960721  2.307299425  2.578051787\n",
       " [136]  2.595677415  2.471946765  2.206335782  2.119858250  2.004921764\n",
       " [141]  1.974419347  2.288358648  2.428054735  2.451696615  2.353775059\n",
       " [146]  1.765985462  0.966991728  0.721085178  0.360930203  0.153349926\n",
       " [151]  0.472005278  0.336304304 -0.059994127 -0.240533704 -0.528219047\n",
       " [156] -0.827341483 -1.442028172 -1.894785838 -1.822041420 -2.165127938\n",
       " [161] -1.830812291 -1.887055792 -1.899833996 -1.838561374 -1.987776063\n",
       " [166] -2.228887141 -2.317709304 -2.137988405 -1.926059153 -1.882747377\n",
       " [171] -1.373133517 -0.955959495 -0.455629934 -0.446021242 -0.181082246\n",
       " [176] -0.188464454 -0.153444193  0.088714429  0.303360674  0.906358171\n",
       " [181]  1.617905067  2.065538032  2.314382165  2.380786426  2.314284672\n",
       " [186]  1.690711231  1.749700526  1.888338351  1.928387293  2.505517355\n",
       " [191]  2.537690084  2.686180723  2.461187668  2.180517997  1.604574639\n",
       " [196]  1.217354981  0.987556044  1.129906544  0.802460619  1.118235458\n",
       " [201]  0.545823834  0.335269643  0.064233987 -0.435103755 -1.083383535\n",
       " [206] -0.933618181 -1.365661342 -1.665866633 -1.460316983 -1.666692437\n",
       " [211] -1.737292896 -1.456760654 -1.682103108 -1.825352856 -1.940744617\n",
       " [216] -2.217527653 -2.145682619 -2.080354629 -1.680389496 -1.348962182\n",
       " [221] -0.864667984 -0.626236009 -0.653435594 -0.407422033 -0.562507532\n",
       " [226] -0.431111176 -0.388424992  0.204283058  0.939809509  1.308777813\n",
       " [231]  1.740986925  1.615325596  1.588133252  1.533003285  1.495302315\n",
       " [236]  1.193819094  1.716055163  2.291745602  2.216441483  2.258214953\n",
       " [241]  2.418371739  2.110643722  1.821476131  1.503324009  1.234573441\n",
       " [246]  0.937293149  1.197633399  0.975858476  0.777877536  0.799155651\n",
       " [251]  0.500466380  0.163563781 -0.207424078 -0.495561555 -0.811479120\n",
       " [256] -1.095517400 -0.978997830 -0.834461335 -0.884365875 -1.050198945\n",
       " [261] -1.265993038 -1.395772264 -1.603973177 -1.828374738 -1.903337536\n",
       " [266] -1.864355389 -1.282810959 -1.279751733 -0.794844079 -0.351119254\n",
       " [271] -0.465522416 -0.736973065 -0.727432125 -0.979444458 -0.936045094\n",
       " [276] -0.289567564  0.219732135  0.729789430  0.899815724  1.251897198\n",
       " [281]  0.754517514  0.697968439  0.548100961  0.498621013  1.218637899\n",
       " [286]  1.427692339  1.704849419  1.914052259  1.920309449  1.545498504\n",
       " [291]  1.333827848  1.282424452  0.889889779  0.967244415  0.852593088\n",
       " [296]  1.219823860  1.348342503  0.985974895  0.750798227  0.442279275\n",
       " [301]  0.406912427  0.119667339 -0.192841300 -0.313270203 -0.435548985\n",
       " [306] -0.486258262 -0.213841745 -0.088993916 -0.332096263 -0.662816801\n",
       " [311] -0.956592911 -1.009666305 -1.052994659 -1.177860130 -0.979153385\n",
       " [316] -0.677467699 -0.502432552 -0.240942146 -0.322553112 -0.511589867\n",
       " [321] -0.909211059 -1.161724656 -0.848616825 -0.524790837  0.032102199\n",
       " [326]  0.388432840  0.394786364  0.439889169  0.229406912  0.033824349\n",
       " [331] -0.001561210  0.169299230  0.343138481  0.647761346  0.631616154\n",
       " [336]  0.876453993  1.129198430  1.010060800  0.517773702  0.232949203\n",
       " [341]  0.324132469  0.394904958  0.543394292  0.721988308  0.807201470\n",
       " [346]  1.025706572  0.779925055  0.571283062  0.555947354  0.230184674\n",
       " [351]  0.015340219  0.029203352  0.165482694  0.213097645  0.465611927\n",
       " [356]  0.715479907  0.433082803  0.514400780  0.275689737 -0.203795199\n",
       " [361] -0.275379297 -0.254656666 -0.176023591  0.196578138  0.235646114\n",
       " [366]  0.491844454  0.186114453 -0.029462271 -0.330723782 -0.727338395\n",
       " [371] -0.512133721 -0.210137117  0.014422877  0.213484543  0.428997267\n",
       " [376]  0.285411998 -0.157140784 -0.502871475 -0.703153292 -0.813931222\n",
       " [381] -0.307227544 -0.092215646 -0.019330530  0.257192297 -0.066849719\n",
       " [386] -0.218923936 -0.411260283 -0.278990298 -0.745358341 -0.425404436\n",
       " [391] -0.175972997 -0.009325550  0.199792092  0.536216777  0.404853206\n",
       " [396]  0.507105751  0.348244931  0.304469167  0.270405016  0.201993712\n",
       " [401]  0.068956548  0.717310418  0.672173405  1.110913622  1.161267002\n",
       " [406]  1.127416872  0.679260032  0.426596655  0.609801315  0.454305183\n",
       " [411]  0.884946632  1.201803473  1.349083202  1.370227693  1.054260053\n",
       " [416]  0.703121214  0.427282994 -0.203672262 -0.025054603  0.096399997\n",
       " [421]  0.116482892  0.585954151  0.624479599 -0.069060111 -0.222369301\n",
       " [426] -0.585670574 -0.969750406 -0.922208958 -1.033962748 -0.606410922\n",
       " [431] -0.844495378 -0.831821100 -0.357132456 -0.540461715 -1.088941331\n",
       " [436] -1.147099075 -1.246002358 -1.406078014 -0.977109691 -0.849363245\n",
       " [441] -0.460402955 -0.323589237 -0.364953387 -0.373951862 -0.354157928\n",
       " [446] -0.297774799 -0.492414278 -0.024692205  0.133176221  0.546254034\n",
       " [451]  1.085950668  1.249002830  1.353885419  1.495061535  1.015139738\n",
       " [456]  1.084029373  0.778685741  0.999297320  1.610503190  1.822553276\n",
       " [461]  2.072310432  2.266189092  1.810719710  1.364289529  1.187498701\n",
       " [466]  0.867564984  0.746194540  0.879832149  0.903318684  1.007528156\n",
       " [471]  0.873045536  0.619746274  0.324905438 -0.290680996 -0.819136029\n",
       " [476] -0.834060305 -1.036367698 -0.993379111 -0.873362846 -0.998106241\n",
       " [481] -1.183031943 -1.289196287 -1.159509130 -1.721865927 -2.020683491\n",
       " [486] -2.026142575 -1.979344609 -1.489475256 -1.492843413 -1.461880570\n",
       " [491] -0.871034429 -0.956637604 -1.016916843 -1.001529711 -0.964386747\n",
       " [496] -0.448274628 -0.222550580  0.094110301  0.493228834  0.974045137\n",
       " [501]  1.418663223  1.233245806  1.103512767  1.086847517  1.392561534\n",
       " [506]  1.381582953  1.902163195  2.209536838  2.439140054  2.684699985\n",
       " [511]  2.384750744  2.013737396  1.603266056  1.330504452  1.617354666\n",
       " [516]  1.601599982  1.472227088  1.546966082  1.917768816  0.939980450\n",
       " [521]  0.766788461  0.028293637 -0.085292137 -0.395123735 -0.553947910\n",
       " [526] -0.708130373 -0.645332675 -0.484629281 -0.963026902 -1.136146270\n",
       " [531] -1.499461974 -1.988266248 -2.207562275 -2.183839128 -2.226622802\n",
       " [536] -2.003157744 -2.011444296 -1.693217595 -1.322647601 -1.298701000\n",
       " [541] -1.476039695 -1.596145424 -1.486470343 -1.375182427 -1.064403423\n",
       " [546] -0.426277510  0.068753048  0.438345416  1.037496561  0.948277781\n",
       " [551]  0.966332563  0.876125952  1.005861782  1.125145483  1.643248047\n",
       " [556]  2.290179516  2.769765622  2.962755022  2.759749175  2.501227885\n",
       " [561]  2.111445267  1.974772461  1.978232452  1.848914462  2.027812062\n",
       " [566]  2.372241769  2.226894553  1.741450845  1.444161627  0.869260824\n",
       " [571]  0.253055563 -0.178999080  0.018407467 -0.011533391 -0.382300753\n",
       " [576] -0.784355936 -0.577976070 -0.988115467 -1.261979875 -1.769100844\n",
       " [581] -1.947603759 -2.158024761 -2.333129049 -2.500198793 -2.142396048\n",
       " [586] -1.803593581 -1.834974768 -1.387991506 -1.862466129 -1.838577701\n",
       " [591] -1.996547840 -2.120272750 -1.408974406 -1.239854870 -0.483706335\n",
       " [596]  0.042135028  0.395889188  0.332484518  0.415016535  0.211623001\n",
       " [601]  0.378104000  0.842005898  1.628475671  2.045981980  2.418210490\n",
       " [606]  2.591259629  2.644388524  2.398641119  2.038531506  1.835639109\n",
       " [611]  1.742691167  2.366261725  2.370728824  2.440672911  2.320898078\n",
       " [616]  2.243397293  1.661838165  1.250278319  0.972676749  0.579948182\n",
       " [621]  0.257660160  0.316581197  0.320257695 -0.042777376 -0.067058425\n",
       " [626] -0.406936957 -0.750336077 -0.976050133 -1.513274906 -1.877582952\n",
       " [631] -1.943138721 -1.829621763 -1.902960301 -1.586259021 -1.391547115\n",
       " [636] -1.576177527 -1.667188561 -1.916558273 -1.949944334 -1.841961705\n",
       " [641] -1.771803454 -1.406211956 -0.614842526 -0.151952464  0.015181621\n",
       " [646] -0.029670982 -0.052254259 -0.073566990  0.022944089  0.426448851\n",
       " [651]  0.795963304  1.367996515  1.985777603  2.236929532  1.843225863\n",
       " [656]  2.000911464  1.614041005  1.503677946  1.815392438  1.764532612\n",
       " [661]  2.103242084  2.377004185  2.215318563  2.266335315  1.734757087\n",
       " [666]  1.573235907  1.082262870  0.912653765  0.547566405  0.674471627\n",
       " [671]  0.524656653  0.538751683  0.264987989  0.223904099 -0.029465861\n",
       " [676] -0.489201397 -0.940126552 -1.254124822 -1.208878330 -1.388812421\n",
       " [681] -1.316459713 -1.032480849 -0.963324600 -1.113481779 -1.380459510\n",
       " [686] -1.602533170 -1.585944537 -1.765072190 -1.837700401 -1.508902276\n",
       " [691] -0.982736710 -0.587289608 -0.377832913 -0.142142445 -0.436334302\n",
       " [696] -0.727345130 -0.745149549 -0.073911467  0.194721571  0.523059665\n",
       " [701]  1.181651289  1.313081503  1.209621388  1.084594103  1.081933182\n",
       " [706]  0.958649337  1.053280959  1.188005093  1.607704700  1.505085034\n",
       " [711]  1.704031741  1.835881650  1.485854355  1.364397884  1.152948345\n",
       " [716]  0.872946003  0.521534335  0.490607397  0.788268918  0.760712811\n",
       " [721]  0.763093932  0.670950175  0.281952312  0.212313969 -0.272490426\n",
       " [726] -0.615243222 -0.716627801 -0.610770779 -0.484824359 -0.263668604\n",
       " [731] -0.138872299 -0.391377007 -0.551048464 -0.805525907 -1.365481447\n",
       " [736] -1.348252963 -1.222554907 -0.873835784 -0.320706485 -0.391413952\n",
       " [741] -0.165497544 -0.233609445 -0.385098471 -0.586252862 -0.714128646\n",
       " [746] -0.661530038 -0.139578226  0.148151253  0.360281346  0.748640905\n",
       " [751]  0.521686940  0.450705021  0.223454357  0.007647253  0.255335583\n",
       " [756]  0.313203562  0.403589636  0.822436191  1.130163886  1.050540379\n",
       " [761]  0.802332516  0.852304980  0.520412457  0.346207894  0.362518582\n",
       " [766]  0.251446328  0.609051050  0.854854115  0.800625780  0.896261735\n",
       " [771]  0.753528579  0.670472839  0.104923885 -0.193337259 -0.198151934\n",
       " [776] -0.216270155  0.127845395  0.404692868  0.369957542  0.434850274\n",
       " [781]  0.356099746 -0.209245532 -0.354946556 -0.716179335 -0.502783074\n",
       " [786] -0.303891015  0.404531057  0.381082072  0.283068732  0.207832780\n",
       " [791] -0.178419586 -0.355015703 -0.603032097 -0.566252858 -0.241564662\n",
       " [796]  0.034370628  0.233622754  0.220993397  0.144937268 -0.209156434\n",
       " [801] -0.077173308 -0.410544292 -0.384835847 -0.226701551 -0.354671315\n",
       " [806] -0.293840671 -0.021402445  0.260248904  0.111903451 -0.036816890\n",
       " [811]  0.060776811 -0.242309457 -0.182972825 -0.196743936 -0.031814720\n",
       " [816]  0.147475852  0.338034443  0.816113732  0.583604736  0.373007026\n",
       " [821]  0.246840584  0.179470387  0.337417462  0.202485588  0.570198105\n",
       " [826]  0.922842600  1.158115880  1.259564283  1.012920404  0.742256984\n",
       " [831]  0.357620014  0.150678956  0.508263405  0.800445164  0.956479152\n",
       " [836]  1.099856614  1.251706648  0.674081144  0.467878407 -0.028982823\n",
       " [841] -0.268546217  0.017658664 -0.041115386  0.256551260  0.311413022\n",
       " [846]  0.258843594  0.003606335 -0.375051260 -0.387370333 -0.924056245\n",
       " [851] -1.028905699 -0.992759696 -0.848169197 -0.939076041 -0.757259839\n",
       " [856] -0.758832963 -0.618646131 -0.752041692 -0.870828423 -0.979627915\n",
       " [861] -1.198181673 -1.109653592 -0.644831223 -0.434737214 -0.131099200\n",
       " [866]  0.018883201  0.122719575  0.133349385  0.091125857 -0.128763268\n",
       " [871]  0.141275076  0.107783168  0.838257345  1.327305148  1.526100413\n",
       " [876]  1.731815804  1.578419285  1.188047250  1.243290799  1.113747838\n",
       " [881]  1.138629219  1.652898032  1.644426389  2.119050152  1.925291224\n",
       " [886]  1.487869826  1.178430517  0.976116664  0.583913424  0.590365446\n",
       " [891]  0.422609550  0.573757022  0.507895380  0.367683681  0.192881095\n",
       " [896]  0.018060265 -0.586553465 -0.991350429 -1.238537666 -1.179293954\n",
       " [901] -1.260291837 -1.103538170 -1.111017015 -1.111368856 -1.342687525\n",
       " [906] -1.345049422 -1.601551104 -1.728038150 -1.929275332 -1.934035568\n",
       " [911] -1.709823958 -1.271984461 -0.622285190 -0.354590932 -0.394266346\n",
       " [916] -0.339175470 -0.297414420 -0.435842991 -0.403245343  0.143096325\n",
       " [921]  0.503558220  0.902381402  1.520761847  1.819937947  1.626709175\n",
       " [926]  1.521096756  1.533265364  1.413328815  1.612630865  1.914845891\n",
       " [931]  2.112984044  2.621442005  2.587920899  2.205737669  1.920660536\n",
       " [936]  1.638964839  1.190074901  1.185687727  1.203922758  1.209278819\n",
       " [941]  1.161288154  1.044828272  0.661981415  0.451839826 -0.000752582\n",
       " [946] -0.525030290 -0.935393863 -1.050113639 -1.166164363 -1.473470723\n",
       " [951] -1.512787052 -1.436813184 -1.684388430 -1.720205809 -2.138239688\n",
       " [956] -2.354966952 -2.275753812 -2.275307145 -2.230552442 -1.542316658\n",
       " [961] -1.083956286 -1.260519001 -0.764893531 -0.912966665 -0.972327358\n",
       " [966] -1.011770065 -0.786781355 -0.544913596 -0.037232839  0.718478267\n",
       " [971]  0.984370718  1.530281802  1.628863216  1.242655100  1.474152471\n",
       " [976]  1.445408611  1.526546399  1.925913946  2.416506144  2.916679522\n",
       " [981]  2.866123492  2.666271924  2.295843750  2.118261098  1.905958157\n",
       " [986]  1.580151023  1.622809081  1.620933291  1.729948989  1.511376849\n",
       " [991]  1.422009800  0.807763452  0.464998456  0.020787438 -0.537536800\n",
       " [996] -0.758612782 -0.936716307 -1.015725842 -1.113390149 -1.061676364\n",
       "[1001] -1.326802592 -1.559497966 -1.573545953 -2.329764105 -2.558965134\n",
       "[1006] -2.593253566 -2.204284498 -1.997429936 -1.750112431 -1.470271316\n",
       "[1011] -1.636480557 -1.403343352 -1.394537498 -1.564273224 -1.522117322\n",
       "[1016] -1.039287072 -0.611593501 -0.076317283  0.660407348  0.771313478\n",
       "[1021]  1.056938793  0.898532356  0.650528781  1.105585373\n",
       "\n",
       "$spectrum\n",
       "$Amp\n",
       "[1] 1.000000 1.300000 0.134994 0.400000 0.110000\n",
       "\n",
       "$Freq\n",
       "[1] 0.1342317 0.1194320 0.0000000 0.6531670 0.7891350\n",
       "\n",
       "$Phase\n",
       "[1] 0.000000 2.314000 0.000000 0.653167 0.000000\n",
       "\n",
       "attr(,\"class\")\n",
       "[1] \"mfft_deco\"\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "harmonic_sample"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e9badc74-d981-428d-8e09-1ed235d25c9b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CSyKzA7J2OZQVJDmVJxrXRQw9iS4b00\n/yJdPEnF7HQwk3WGlp2Rdgdb/vSOkxcBCyCGZLXU7JkyTiuNaGFIA5smkhw378HyzIylBEmg\nPanyKy/J3mDoCzKhK0WqVuLFk7GYrDO01JyXXmGTYIf3V+V/zAWQtIQUnzdfxmmlES0MqW+L\nFBI1rbdhUzrG4gmZq1+gZOB2qWBBbxl1KwohYdam4sXX4rKQMeLloguyr2N9ZfTxFwezACQS\nkUUWLi7k+iWjhSH1apNWspGeDdqTgj0OSjSMXr4Bt9mYkL1SwYKOL4hSVawCEoLGqwlYnZHs\nsSiaLLgk9yrWHCR5PfZXpReEHz49JjwQrxZcstz96MJoYUjd2stIZCdiH07E7kMegULTm3CR\nja59KLHsDVpkjcjl+Q2PoXQd8Sr/iA2Gss9EHO+8Kwosu5w4aLLk9W+HY/ZqpGBKAllvVb4V\nq91vjNHCkDp3yrZevPpqAu7UfA/VBbTU3XCIjajLHyJBPRnjJOrgIVSTpBf3J2NNBrJrIm2y\nnGuKLNyQsc5wyet/Be9E6Pr8honJQaJZnGv1+myuXzJaGFL7brklsnT7k50O5vdAW0E1eyms\nZkMbnJKleVhVGeMk6uA3aFBVvLo7FWvRl10SKQll3VBi7tocrSWFKPapTH8yKmFcOlmDWvZ1\n8tQSiWhhSK175V8mXt2R5k14dBV6C2ipY2EKG9T4HMi4MaVfjFF3/4NWFcWrO9KyNr3YRdEN\nkXFLmZmrcneX9WVdeVGS46OzyJoUM2/alt71S0YLQ2rRt4gkRt6c6SI8uAAjBbSQbtCPDWj2\nDvwteYNCL4bk2x3oVla8ujUD69CNnRcNsEm7o8LUFXmHyNpJ3gdJh21UwojcMmZlxi27Urt+\nyWhhSE0HlJotXl2f7UP49WTMiQKpswbQnPVtcQl+l7xBDmkEFWXwFQyUVI65P9OlI3tDpCGZ\nck/VCcvyT6wsef0L8EpELs9/GFYIbopX02/j4aJbRAtDajikvETfcWWej+HHg0mmCLyecjGq\ns96tr0mVPzJII6gog49htKRyvCEb69GWnQTB/NSkB0LGLC60WDbb5Q1wP6ArUjC4pKzbN83O\nw+49jGhhSPWGV50oXl1a4Av4dlt6Eb+qRMIq/AYTZoURj5NJI6gogw9hqsQO1uRkfVqy10Ql\n14RH6o5cWGRbWsnrvy6tMkUh9K8gUzlPufdYPNcvGS0MqfbompKS/eJC38DNNTlnCiY7FkpV\nkXXtcEMy8eRovjjwMIKX6BdchAV5xKsr87ABTdlhkchf3NcaDplX/EQsCbfm6Isi7Nynhqzi\nlfSAPEdLIloYUo2x9STljwVFv4PPlhSYIwgfcmcqzzp1viNRfdgc5wXRTjwHqyXc2+X52ZCG\nbL/IGGKebDpgTslL8Kv4FQ6AZL+KSuhZT9Y2n+jw2+5FZaOFIVWd2FgilDqv+D24tqDoPAFR\nMWuuMqxD1x8kqg8bAaQzI/2JfyQSj+z1WBuziFeXFGQj6rJd8DK5+gTeaNlnZplbMhmZ3RDy\nv2e7zEhGt6aycQHxj16SCoqSiBaGVHFKi77i1Tml7sOl2aUWCuLwDIVLsbY9foErwhdYxw3p\nhwheole4IHMyX02wVULBWFSYvVyTbQN6z/kXzrfrPr3cX3BR/Apb4QWZx9a5jey2j3P8E/e/\nZ7QwpHLTZRq0M8s8hHemlV8iYPymKl2cter9h0T1YQ03pDsRvESvcFr2ze1LvlNCwZhfjI2v\nxjZBd3L1AVzs1HlKRRZfMqpsA4Ck8B2F0KGzrEEx5smv3WthRgtDKjW7U2fx6vRyj+HcxCrL\nBK0QSaoUZS36yb6nldyQJGUJv+KoLIbZnk5GYp9bgk2uxI/XNuTqffigW/tJlVlGmv775PBj\nnPX8ggw2bNtDNncj6IzMkRcgWhhS8Xnd24lX+TYb8+SYkJWChFbc2oVY0wE8RBC+wDLIEGVE\nSPfJ6l2bMh+UiH7MLs2ml+e7QiNylfu2vVvzE0tA/72LXNel8ILkv1v1ji0epvsY3vzNvTRF\ntDCkwov6thSv8m02/tERdUXU+eAmBVijwSyWgDnDsQRC4HoEL9ErbJN596tzvSoR/ZhRFm1p\nKdCcwx/hev9mY2swgYbkDfwG5sMLMiG0eb/4YlYgN4lwWEW0MKQCSwdKpDMnVGNJDwxutI6W\ng/4P2uZlDYYxyTe/MMZUSSrCv1gvGxewpOBxiejHtPJsfnG2AGjO4Xfw2eBGo2uxPHQ64VP8\nBmYFwSw3FxtpaDJQMsCGR4NMJpZDI1oYUp6VwyRcS77NptnRr7kgM/wXdMvN6o7gtiZ8gXnF\n/4T3InqNHmG5jI05r/hpSaWRB0iLC7M5gvGqt+HG8Hoj67B89ISlq/ABd5IrlJru5mIjDQ2H\nJBdrD2BeKcERty8ZLQwpx9pRks7Ql/k2u7xnG0EPyi/QPyer9TJLJR5jPLvUP1FGzXeeLN80\ns8wbEtGPiVXZsvxsOtCcwxtw6+Vaw+rz051cfg8LM+OqV5jq5mIjDXVHpBGPDf4NPmQpXNPY\no4UhZd0wVtIZyrfZclO7dNySgVz9AYZnYzXGsvTiMcYzyj6JMnJv02RSqFMqnpeIfoyrzlbl\nZpOAFmf+HO6Orz6kEY83yeXzeB+NqlNZMu0iCqHW6IxbhIs/wzUmWRYgWhjSS6+IeiQQw+ux\n+kPbd9tB6wTdhvGZWbXxLPMm4Qvw4CLmyYheo0cYD59KFqu9C2JN2DEhbH12Ng5Kkasfw/8m\nV+KhZrH55PIZ3EqGNKwumXYRhRAyVqI98CN8zHKtdvuS0cKQ0m8T9UgghjRkHTu36i1o5voS\npmdifKOVjA7iwYVsirFfMUJGax5dS9ZWNbo225SZjRbMKb4Cv0wv1785K0Hn5Y7Dacb6NZfp\neUUhVJ0g0R74Dj5jhVzXw6KFIaXZOUNA7UYMasIGN2w6YE9KcvVjWJCBcdc/h3gwOg8uZAKU\nfsUAGa15WP2rElLgiLrYJDsMaKrUB3B/dqk+LVlpOi93CE4w1rNt7VGurjayUGmyZO7GHe4d\nl3KdfYwWhpRir2yYxIBmbHKFBkMFXZEfwsq0rOwM2WHPgwtJEsi/6CErJQ5owh004eqwBmxn\nGjYICpKrF+HB/GK92rBydF5uD8o1dO4sY9lHIZSfJvBQEd/A18x9rBctDCnpAREjFdG3BVuW\nr/YogXLdu7AxNSs1m0lmcL1ck0mSQP5FB9kkqN4tP5eUmYY0YntTsL5AiyOeh3+XFOzejgny\nctvgEDJvGkrmL0UhlJlZZqZwERVB3Z+s0cKQEh1elp99K2JX9W7FtqetMVZQ9H8LdqbAwECQ\n9kWMqs1kApR+RQuZtFz3djclU6kHNmGHkrCeQDM83oAnK/N07cCq0Hv1JtiHIjNNBrq62ueI\nG7LFknMk4wK+gG+Z+88RLQwp3rFVudkCUU9bz7bstTiVJwnai08HH0jGii0QpX0Rw+uJGGj+\nRwN4S7zYqfNtSXa8fzNULe4iGPh9KgZbm6NzZ0xgUlgDu3AcePN+rq72+eFyDFnPcrH5kvTi\np/A9ayPpFqARLQwp9ol12dnsWP/Rq93as7ehxPQTscnV1+Jyn49bkcSpHtqQyQQo/YoQCbmW\nu16YkRKhb0t2MibrEINmeByPwzZm6dBVpLO/FLZhnbNVb1dX+/xwQSpWU3CJxHe7Dj+hnJJL\nBIgh/ScTy2IxTm/KzKaLWh34l3YNss45FZNcPZTkSEL060qK6ZiDGsscP/+iIkhYYi36/ihh\n1/ZqzW+/v9vEz0Su8sNqa8Z2PVjt0eTyfFTiChkr6/vyK97k/pkYOddIgrmr8Au6+y4RIIa0\nUDb08wm8sTUDmwSCommnLuwbSLLwTBC5ujsV9/nyrRClfRHcJ5KcV/5FSRD3B7DGg36VsGt7\ntOX30L3myenC9MEkbGea1r2QdkhhJnDntsrEDpKJgH7FWemw20ybm4mH6WKtbRDdSyJBgBjS\n5EQpHgkX/4Pzu9KwcSBIYLfvxn6GoGUCUeKtGbhTwz03QdoX0VdYXfE/CsIx8WK94bJG364d\nkFDXOD1dmN6bku1N0bIvDqygMBm/3fLTOndyc7HPEaekjS2pd7URa5i/B39i/sglAsSQJoDk\nGQ/hnX3J2WgQmAJ3R/4FWH0eyBhqQ1YeOORYyyqK6ZjcJ4oyZM1cslG4NV9+KEnqcSP4AT6p\nl5Vuot2Rlh9KfB9vPJhcHgvLGd9OeLwZNXAC2ehCJD7UsYtw8R14yCZIhg3QCBBDGgOSOR18\nG+aOyXAQxJet+jAWFzZcoCWYVuc6HYz8IEmJrnt76cxIvyKzSHEYUWXif5KkHnfL+DdVM29S\ncnVLRh4mNR7EmtKJ4RE4ObTY/B4yjX1/4qj0vo51QmLxuKNOp5m7EvjbkP73Wei+/5MsGHRt\nSCMBvhcu/gaXj8Zng0GQUUKFodSwRcDnXJH3DXiSeZMo7Yvo0pHVokNw/yO9TMeen5tBZ4Wr\n7bqzx0FnqxWl5Xo3ZmEnYvMQXaDHNBCbzAst7uM6SH9OOCxLujyGc33ELdPo488v5vYN/WtI\nHxYCSOujUdeWvYprQxoKEiXUn+HqidisHwh2y2YDGMsBO9+n33NJwTfhUcYtLGSs8PU7dWb1\nBXMz/Y4UIOFY8EhOQlNv05OxBK9WKkPX09bmYKeD6w9nrentqDfMwaF+/Zu7utrnhwMgUTv6\nCy5KWqbPBDMmUsIRw6+G9FXc4Bp144LWY+mtIQ0EiXDhj/Axd896QT16GcUji8K+y7Qo4MIi\nb8M/6bbLzpz23VjTAe6u97khEYj7pjC3GE9MU0cXN/WuslXoetqqPNznqTGSCRLcXWEGYznX\nylr6/Yq9sFe8+AtcGS64GRjKaGrbhkv41ZBaBx3jt3WOuFgU9NaQ+oKkfeA7+Jwf192gAr2M\neahKcPgKHWXNLfEO/J16F84pFoFv5XgTRgnEAQlZqcBSllDcQ928P7ZAFq1Hd6MvLcDeh3Iv\n465BoT0Ohc+8aUhDV1f7/LBTtqHchc9friVcxSmnm+limgR+NaSs2tV/Hg8FFLw1pJ4gmtjI\nkBf/5QX4p5OA1sy4v8Lqw7GP4CdqdVbp9+DPlHtQ/0QEbkWC28v/CAJx3xTLs5Il2y9cxTRC\nwSV5W9I/zKLC7CMoMpYJFAJbAo8hM2yVbPT+xTZYJ168Cd9MFKflkHS5O5XbN/SrISXyiXiO\nhzcJQ7qZOpmB+G5F6buCRMz5G7jJjaFdrMz0Mp413eGkQKZ2evkP4D6//RrRaV9E835Yg4kS\n+BdEU1kQ2dexVOJcBH7CMjOzdAWyIje/OPsSck0QfdLGwH2pNDvd11+eEzbLNF/5Ty0a4sO0\n6e5MPsSegl8NqYKPof9npvz/OA3p8ZHdBnq4PZE6giSvewNuX4LfW6al87qs5suMrYBzgglI\nkyrx4CnxIRkfmC/1ouVJ/Y4/QDbrK9NmlnaHcBXP3Orj0gykywCzSrPbkHESE0ht1gFYwZLv\nGyPRxvArNsA88SL/RWfTDfWIfck0ZqFL+NWQXob+2iTWo9D6obeuXTuQpDu/gG+vwb2m+YNp\nBZ0aY7Ft7e0vaf3uCVWvws88smgh5jU3GoIsoSiBn6Xq2+l2yFQ96o1grGG+eGPoMsD0cuxH\nSD4Vq88UQgCWsMSHxldzd73PDWtlo5regYeSBrU93K17I0gyBoqEXw3pYUVIVB//GA8ZUnlq\nSK1AQo35FL7nh3nDSgJ/EStED/PcFLTqjAm5Dj/GO8YkvOb6w9hQ2YxiP+J7iCNu92Ap97Is\nG4WrSIieCDCd/pomV2L3Ic50bIOkUA3ViuMdm1TZzdU+R6wCcd2PnQ16Islv70zrYze4g3/r\nSL+OzuPz7jblBk8NqRnAQeHidfiJH0p1GwhqtqGtat/Q7PBRtbkRxjkhSvsieJAVVWKDW5BU\nQp9NcojlEMfg6OKy+LCYluGfUI3fKzALG/MpVAGYw2K9PlWQGfU7lgNNrtXwWly2RiBQzbTp\n7kxQC5EgsihCT76WicK6NqRGAGIBxyvwKz9uQtoJ+ihCmyXv0HzhYfV58BTjlCwvx+/AcTL2\nuR/xBaSfI17lB6ukcao67uGpYT2tjzKmJmPB3FgGNSafXBFgxpOgN9xTa54TFoOksrc/Kdsg\nnriGSqEybQsaAcK1qweiYdwMefH3b8NXVfsICMGhvO679ESJwY2/hG+DzorSvojq49DxiRK4\nDtlniFdjnmT5xSGUNrA6G+yEH6nVkXW5IcJ87GKkUA5gyr9wflZpN1f7HLEAJJ1RO9Jqx44A\nG7Iy9pVM+ZlEgBhSLZDUT96Dv76DzyqOErQQhOpg/EBLK/ZvdgO+hnOsq7hnkt+BoknO/sZl\nKCjmoeNomkLiEKrSZP6PQnCUzl5iFJgMFjJBpagMwMQH8K5MrcmvmAOSgsTGLEygYohAVsO3\nsgmfJALEkKrLhi7yyPEn+KjsNIGucKnZ2r/4Q6jVPi2/gXfhKpPwmitPxiqLGIckh4THuAil\nJwoX8bcuzkOoT2ihcq0VpBy8QW/G6NKlg8WiaLAUwJjf4dKCoq4v+flgFkgG+azKzQ4IaiG+\nVdHNIEGAGFIVzL6KcB7+/RU+LDlHIIdawldx+IWWVuzZ9g5sCn7AetNpXwS/A5cIWBOIP+NK\ntMA8xptQRazqgTMzcNcYTLd/ai5uTfiAluHv15yxrLCMCSpFxQFG/gxXFwvmh/od06GpeHFR\nIXY0vnAVE3r3ZapmJALEkCrIRlydg8d/wPtFFwhUHIv6pswJprR17XAXRmVmorQvouwMJhr3\nh7gLBcSLHuNUjFr0UHIE3000a+lH5+rLYJdvU/iMTrpg/SgPrGDj6bRKUYChP8An7lnTzwmT\nQcL64w4oMlMFWFQ4PGYRIIbEXXRxK/iZYGySLbg0A52PCBXaEnRhd+r8AzSsydgA8Q5Xejaq\nzwtxAyRW5jGOxRNoKiDuwTUtEOpFhzklMd/XEe7QSZfu7RkrAquZYBxBoWAY+C18IdtQ/IoJ\nIq4/YkZZJplvM6+4L5x0hwAxpBJls04ULvLd5xG8lWelYGpjqALQA5qt1677j1CoBxOlfbU3\nnytlC38Crjn54cbBpAJNBcT/4GOt+tyNHhaF4RPrG+d/9CBiVGMoA2uZYBxBgXjQ92v4ek1O\n15f8fDAWxPRuzLG+TROhEF9d+r8AACAASURBVFrm0fV4kQAxpCILa4rnICAvPuhsjrWCjFWo\nGPHftJxBq973IMsQJuMucN9wR1rxtV0Gcc3Ca+xKjd1VAnzHzxrsT+xI5wuKLOT/GJn0Hh1n\nt+/OWGXYwARsz7xJoOcX8O26bO6v+blgFNQQL46toSmcCDAVP6Hr8SIBYkgFltYXy7cjLz7m\nycwbBXrPoTXK/+A8tdq836+QYhwTpX0RhRajaLYQ70BG8aLH2JyxuVhnCkvOdUYx1pberLUB\nDZPTCRS7WvfCTMQrokR/rlTQ9RP4n2B+qP8xHCTyJSPrYJFetKrRnFyPFwkQQ8qzUtKjipz4\neMcybhHILoR6fI/p7HiTgb9DrJna9CARuG94mBY60PAGSI4rj7E+m6AVHIEkKPT8WtKJtwJY\nq12Q9T6tv4NaDQ1hC5tTknxyjozQ4Rr8vMV/e4YcQ0RtnIihDbm/LaQuaOkU1+NFAsSQcqxt\nLRYqw4EtiQ6n3SkQVsgeSj8LOkOtNhj6p5ZalzQIcN8QvUcRToDkuPIYK/O06y5cvAG3tG6Q\npnTiTXNxT7T+i44V8YktYZuoYpYtO7S5BL9vT+/+mp8LBkJZ8WL/ZkzA9Ue8XJMx9+NFAsSQ\nsmyUCJXhCLHk+1PsbUH3g+uE6Jgk+6/uiAeAKqKSBoFcq5lsWvghSCJe9BiLC0m+BxyzgN0g\nDWmvJ9TF/ZseLN1wKKb0djJB/0Hm8eVaXIQHu9LIri5E3AzlNfoCfXJq6NWa3RIJWGsD15j7\nIbIBYkiZtggazhDIi0+9K8lBAV3upVd8/45Niv3WevkfQGWeSeIptDnWsjfptlINu4EeGPM8\nMKekpFcXxyzgwV2X/iihMwkf0S2SmFbvD7tFpedMmwc2OQ//CsYe6u/gP2HnXiAQ1Hp0StOU\nlUwT0HQnJO0mNALEkNJtFzScIbZlQDmBBK8KtMwyhpaX4pEdTdXH/Qco7SSZQpt1g7R/ZQu4\nbrcMN6aVl1CZrsOPGok9hGbY6qNp4Cy1ik0W42GfSKgq/bahDUrAE8HYw1Ck9Z+wc3cQcCww\ny9ChKxPkJhFaxVBQKhEjQAwp1W6J4h/y4jNvinNcUApKt93374SkElqVSU8Aby1JgwA/0j6Q\niEysBYnf5zHGVZNINOIAWSwHVaX3hCyhc9tjkC4uZmrmwwERhyPtjpF1YsR8itZBIknXqsfo\nAgKOxbtwF4/l3+GS6KnanZRvucs3DBBDSrq/n5jCg7z47OuCTws6AFLv8v2bzniiOilyHiT8\n7gxbtVEgIiwFcRXda4yoK5FovAy/4zAoVpFOaOlTB2O9Tq0iJWIDHGar6Y64VLvH1IB4TDD2\n0IcnwRMlq96ig4hO8hbcQBXCB3BR9NQeGCS4HmseIIaU6LCEwoO8+DzL4ZygFKQL69BKVWVn\nsJiomSdI+yL4kSaQINIwD+Bf4aLHGNhEwsBALVn0gMvSh2sGqYtbfppPvnQdTYZKsXdCeUgs\nzV6yP0GsVus12gYL6CRn+I/ZcAiPBN8UPVVrmCku0U4hESCGFO/YYPENhLz4gvPh7ZE0NUYv\nGaQgtTlLzmGxUc1BogbNj7QvJHOtpseEB8JFj9Gz9bD6wsWL/DqQxF2SPlx1gaFEpIYkDq45\nC68xQck16YEpxSC5jAuKFCWxyKbXaBVXUBo+wX06rEoHi0YKMy3vKRnWTCNADCnW6wK/DbE8\nH2NFp8G7AnXNpKFqD7qLZwfK/KJ05CJxL0TKvexruvdAw4QkblX6wo9OnQW7BQL5ZXhgFaWl\nqPTPn5ScZ4HNJlfghIhVmPjQjLyQhp0OllzcDRDzAL1G8yQC9uOr/IavMU7GAdLUOSTDmmkE\niCEFnRku3okxY1tqLFwaS9Ov9NiIlnzjznICPFEkHUfcJ/wWvhAuj8xAqyA8D7TuJSkcY45+\nWAPGCtBeasrQE5k+mZGJdwtOiXq0E7w6JwuMk5GqMdnhv5nnjVPTgwe5e3pai/fEHKCWWG6s\n5nZOT2AY0mN4EzUFBFhYlLFyQ+GaoKaaIDRbl55Ui86/jCVGf2V5PvLJ//sLd2ONWC3CoFyu\nlTTCjSYDJYXjs6DRzFgempygx4j0yYwc+d/hjIieG+/YgjR8M3lLUk/jJ6L/FNIbZBL0ku+G\noxj3CrYLhEY2qylu66IRGIb0D1yQcOFQSKByT/hc0EqjD2igi9m5V7GkSCBbRWeB6kzU8ua/\nSGaz9ioKd4WLHqPOSIkMy6kYPqZTDjrcSxLq4tIbSt6VjD2p+pVIFTv2iSWJuXsrmNbmw+sy\nQRLv8AQrRHWzJ6dXt8E+7HuRSM5qc5rrDX/iLkMUGIb0F7wrcWmwwaR6O/hGUFPVGQ06w8GO\nHGtZCowpBJ02VQZqaS7ZbNbOFSWzmzxGtfESUesTsZk20zELHe7pSYbMm6hVvUIp4LnHPLki\nFnzLBEOmfNgPYiUmD/F+MPfEa+UT8LI2wjatlZP+tRFaa2TjQTPdiecGhiH9DpckynJYS63d\nCL4X3GN6DxfNCsm6kaXCoT/r6U6bCl00SxQ0M2loUwduCBc9RvlpEkGsY/EYm8IPrIx00T/+\nUd+/Q6lCYZA1VKVJoBoSdGYNcA9Wqge3GfwyYfYN1BOrXlRQ0VoD67Vqa3ahUqbWrN+i3wB3\nCmuBYUj34NoEcWyA3k796vDrDJoQrLO+s5KCXhk3szTY4iNI+5ZpqWVSJWUJ1qQ53bz9PFB8\n3hyxINaRhL5NJQ2dN4lz3PfvPCuoVb1cS3MXnsC59TjGV6D77MMKENO4PMRr6ABUKSOoaC2H\n5dpWkUc4bEDrtmnTs6M7ib7AMCQe60tUpzE2alIGHswmvxqjPZ/eidNvZ+lRDkKQ9i1Zh2lz\nWcVlCVavkyQT4TEKLF0oFsQ6xL0dnMKQkmbP6IwGuqivR040d+E/eGszwH0ciy6+uHngl1ED\nh/AaKlaKSa8ugnma7yGmLmhjtzt2aexO+ykwDOkufC4hlY6rwY/qAvCYVi802M65VlPLqXex\n7JiF2EZ32hSt6DuN9O2cQEgfWujreSDnGkmafn9yX105CZ2A1Dl2dFFfz+XR3AV+G20HeMgE\nXYE+TANaB8xj7MJrKBcSRK/OhWkah6OEUHUKORysW/tqeV29a2AY0jdwUxJkYyG2bZZYAnKC\n8Q3kISUmU+xlt3EQ+06606ZQEfYvvoBkpGTlobK7y1u89MoK2koQOK8EhecS0AlIfeB5WVLP\nUud/vE6OmH0AF3cDPMKTSXxx40FcovAQm3FjK1VfkIifAeNY6t2iT4lADgfr3bq4O/mJwDCk\nL+GOhJ2NnVodUyUU9KQZ9MW8ZGygJ4UFad98OdhDfAGaDqCh7DjJNEGPkXoX8qEEwBIQdkHE\nJh/yWA/z6KJ+4kO+f58iqex/wvv7AFkNNOPVhxFQU7zoHVYD9w6KNxMk4ifBCO3H0gSaSWgn\ncv9mOcXq4BQCw5A+he8l2SoUAOoWL4WAnID6oxpofXn9qNlH1yVyp8WbSFTF1FBiBi2r8jyQ\n5KCAVIpA7xTtLAaZyTcOk+qkVqtetj5L/vq/w6XDWttVEvF0HTYA/DKGbCnsZ4/yt6XnpbGx\n0F/7LDWEBFpN53BIwzTSHkUHAsOQrsE9CTsb+WW9IIOgJ+13XWG1ICl6rHOyDtJ1iewJfC8g\nEJ9EFF7oWm0w3Ij72qbMwkXMl3A7ewKkrRkt5jhwzAk9CHwL/iNWf4UPj0FCZjZ3UegB4jjW\nQ8yFrWw5dIbfydWR0F2rHIqFNLUNdWSdeAldvWtgGNIl+H2eWMYe51L2h2xsBRk+/gzXfH8U\nJmXvdF/lCK0TlCXosSYanoWsYmrIu4JulXsOeBJ0VqLjgxl8bmf/AOn9Gy4uLTGpK1pcgL+J\n1Xtw7XXA7li9zZZCB5kgiXeYCmvYjKAJgg6xIdBeK3iIh2trsfLYyiAjsjsRGIZ0ER5I5iBg\ny+NgyMtWk7GBoSwaqgEeBsGhVSaB6npGuK9NLqBz5xpyrJOk9LwFP1UkUpXo9XE7+4sWrDTI\nGc0oZbwnegM6raz4I1w/A8huC5WtJdES/DL0ZRwsYlMrXKfHPPEdtbnmxAr0/97Y7BtqOLEA\nwGM37xoYhsT9DZQ+F6BnGwx0i2gNfk7c1YnbZNrXULsTzLlOB3e12gmdqdDw0isJyCb25wAe\nqgiSIghsbt2Rdss9yEytGkMESGEzo+JMD4X8Hj59EzA6LzlbfHUNg/0ylmM4TGeTKn8qGHTa\nC+pqZ69gJvCgmj6GyzQAd11kgWFIZ4JkbQ7dOuBA9dIClo8hzFSSGhr5r54oOEmf9Kngsjbq\nT9KanHZHUkkE7in4wSCRH0HXdk8MWAxkbflnvdrVoSuxanwPPBwllvl38I520FWeJHz7t/Mn\n8susigEwjk2oJhKu6wLlNb0GwUzgTtV85OXZ0ECsxUohMAzp9dgidRsEynBNgEpsE+nSGFMO\nS1MaN0YILmhZSwarbuMcFElrcoq9KfcIF70Fv58l8iNLC2A7DhSmJZR/1CeDkoJexvdAS5Ty\n7+A6YDKwjrgJtiGkF6fmPUQPGMrGhHwtICu1h4L/w08q0P9rXMnHC58PmyTqAQQCw5B4AENn\nEjSgBNUUCBGwfD7TRz2SJTojBD9Hu8yJE3fSumMlrcmJDosp+x7jDnwpmaCF3u+rAAmBJGl8\nr4/+JIXNjO/hc7In5Bu4eRuwFCxRjq4LuSTDb7xDR+jFRtW+TY95Yq3ivaQtdaFHmVYpx7Rt\nbwm8746zHxiGdDCJIJOgoU1PxmZCA0FzpxGVlqfEov7UQ3DBHJD4VYppR5qkNTnua65lO8ML\nfj8LYjkEMjte574/rUVuNPmSMjJGte0GeX/x//sbYJQqG/4OxV4SLnqIltCBDa8nmK3NmmZK\noglsCPT/ipTy1dZXJpc1PRMIDEPak5KtFU/mwd7hudCcbSe7j6/oeVLSFgz9s3fpAl+cLqm1\nPbqquDU5+LRr2c7w4iZ8c0pA1mQ+IaQ30JBIttMtvdmDHGBjkOhukT0hPCJ5HIQ5OYk+ZTWo\n5Bdl8EbQgg1pKOpZblAk+CqGeb1p/b8sxXwl+E8WuRwjGxiGxE1EUtFHd2MhtBfQ5QxtRzJO\nxnGRGi7RBb7gyUGXMWoQtyb/B29JcuPe4kv49qyArMl80nxvoyGRXdg39aOGHLds5PTojfoz\n+J4lxCpRX7FOZyWoJx4l7iFqQVM2sMk9vTwYdjUETmMGvx+t/5e0kF6Cvy+WkKQQGIb0ykua\nCqQAWHtbBt0EdLmLepqz6kRi1SjXXiUVTJ7wmPQQbnD1hOOZHsC74t4Xj8HjPYkKOfJ630ND\nIskvX+qKYmSLpNFLTzdKYENfeuyEk8gLlodWUkFjr1AZGnIz+U3fAcOgWmvYjl/RoCbU6uPg\nfHqjp0vLCAxD4sfRK2L/G8e5rIY+ArrceV2+sTo1Psk44Onez//gTPAS9A3Fg/J+h8s0+eg5\n4BP4gWYeaMAGx6toSOT3YCRdSNUHY4Ond/qP4CeWFw1QMDEdURq6SaZIeYeyUJc7bn8Kmv8r\n9odF6P0OIycw/ga5jEbPYHLMjwiBYUir8jAJNQbJY+thGDtIdkkbClIhFI3RcLXpbNVDeCfd\nMHT6cA4XDW6KJdzKdoYX1+FHQSyHQL2GT9CQyIPB2ClIcWYjOU4Pf8fzujS6hBJ9yhIwSKbD\n6hmKxqvJQ7WHgub/MpMgG7LoaP2/W5DNKD27m34ZGIa0tICo8Q6BRN/NsEowVs/oC6hFhTnf\n6+M/6GzVn/Behbrocgvqe0yr7ZD5wOcBfj8LYjkE6vp9hYZE8m+NSivJWjQ8OiN9ZwPyHUJw\njx8l1qcsAmPFiRAPkTdlNda1g6gzqvi8uJpr+zLZ0vEJvPRAt0AZkd2JwDCkBUVl45CrTGRs\nO1wQdEkb+eI6FOvZiK3pbBXfn3u8hCNdOgnne30DNwUzN73Hh/DbFbGc/+haWDmNAUBuKB/q\nlfzFlDaKMU+IlnnBjE0zDI8kYk4FYKZfpglky1KJder8REC5L7yovcZlovX/PoL0d/VPmkbc\nGUMgMAxpdim2S5wRwgNhT/AfmoqOE4Z5kcR6o65H1yV+hmsLgjDI6iYUyPkCvpWU+70Fv59F\nZE3ma3D8HhLFArJBwMhekqVtg5FI7/ToUHbBhLJEnzIvLPfLNIH0BcphOUtAuS+w9JrWRkJr\nfFyB1NdQoBqRVUJkdyIwDGlaeW2+5RO6hIbcnxvcbztB1iqNRiNyxOw3OhOPrkvw//uaRhMW\nj2f6GH5s7Bep3ls1HvP7WUTWZL4C0c+QIllikvxgBFckt/eOQRTQO9JtwEFr7+ARINGgydnn\ngl+mCSQvXQpr8PQARpZv+dfa6CRamuAyJD8THJr2LCZUdaAQGIY0sYqWknsvBsk+0HlwJ0kX\n3VA81BQ2w8LQl/qZVDDh59RFwMrNQDKbiuAuk2RQtIc4Aw/4/fyleC4GNjj+AWkz5SBPZiPd\n90pmYtWcuarLANpgpD6nioeJZ90gid88RPzqxbAGr8v0hUHuVfcAg0B63tX7kHiPntOsMcbN\nuwaGIY0N0YQLT9NjH/SOPZp3apRpyQy2QWmlR7xxz+8SoH0KZi8xbacXDK/1GEfgD34/S5Tl\nsMHxb8iUtxx5MhutryQBxOSAkskso3ol0A5EZNpsZNifK2I0KoQ9VYJcQc41/wDKe8wlO6ov\nQqyyOkVGMLtbgMAwpJF1NeHCoyTF3xhj+AZ54QYDj+RbfqFnvf8iFUz4bXtN0yoQB9n85u7p\nF2HEnfArv59vi2Vd0f18AtnHjCGFgIwyADlQ+Ya+oTCyucpQcphNj4xBpN/2rT+UMv+Fdvlw\nUxRQ7rOtZ3EwjqMbQZH4oW8F7n61wDCkIQ01GdF9dHygC9bRRX9D5KB5P2LVCDnoL4o7Up8C\nhhzi2OBMkMTv8xLr4R6/n0VkTeZrcGQx8whcXOO8JtUpTI+R3OmNJ88Xd/yn3vW7P3TJ7kPP\nXNguL1CPyLKRpURVMDI3yW8RAL0SNsqV5lFgGBJ3WrB9YKuxbdqg6wicJ5NGBkmvJXWUG2VK\no1XWBm5nX2nZZLEa2InYWrrs+WMJ/I/fz/8Ta51qmcX4BQUurjFsj2zE+Nzwysh5KMaTJY3K\nKfY9DvKDCsyPMDQbZmAFKvmZNrMsuK/RY3qQ09sp9O/ZYjkdAoFhSL1aawqg6+geFP0rpdkz\nhhAcmRL4SE+G0qLE1+Gn24CECVrFFcGPynF+kaGaCd/x+1lE1uTAieYsaXFG81oNCdUTlOdn\nJgPT7CSWjWIcNg8KwI8yiYymZ7gNE15itUaLVPIzbGUF8WSm9f9OAyQN7WBkawRTaGkEhiF1\n7aD9/Mv03jQ79EP+XTL7arTWkuQEk6tKplOvwC/fA6b9aE8BsT+5INXqNcbB7eNxTbq6E1oP\neaoygrF6Rj2NlIA0qYbk+CTjFJP0V/LgSibW5RW+hDnpkcwiYAqn3cHKYfGc7hZ4HcCY2r5H\nMGGJRmAYEr9F0PGfR4tsp9rt+zc9vMdwRsieNKPeT6dTL8H9e1pXwkrBNHrGdqSTHFdeYih8\nze9n0aSmJvt9O0WGSjwQoJp9jR518sAyT2bSZTqi13hX5yJWfYh7nOUk5dW9xUewPDW2hwmY\nwql3sVrow9PTRV4DMLQ/pIOlHQgMQ+JeGTr+0+hgVp/pSJcxDGoZ2cV/ycio65q9NrwLf/0O\nmC4Wt0PxX0wizOIhesFXRxKZPeFhkH8Oa43COVmrCzQeDdUU0s7Mk5lUrjMSFJK2sJgnWTE/\nsHffh1eSoyBxsfnkMg/xpuInoEnOr4IpGSYdLO1AYBhS8/5abnucrtBhhz6K7gqpC2NoHXem\nqj2mjJuuIm/D2/DPA426JZj6wjRnfI14m/YQ7eFzfj//K9BHzj3lv2qYlsxVW9A1b2S9yZyM\neTKTQzsMK6QFZjQEnWWVJwpXPcNbsC8xssJILRtzV6XbpQ8BGFkj6WBpBwLDkBoN1vbR4WRm\nzSgh0kpSRgDTlZLDMNr+aHXvN+HRf4CdUIJhFUxzHSW9Uh6iCXzM4zE6u8hYjjGHtaHiBRoK\nki7GJ0C6jwPmaZ6PUvAzrHCLcENBkh7JwvIYp2JwB7fMTFZhKrmsOxa7SW7mAYCq+t+SFkkC\ngWFIdUfwffQ/1g8o+opBaqH5nEYFqDvFOzVvOjLIPsPjiSDszRXLyc0uJbEyL1ETruH9LBh5\nlmXILkB1/GLNLJuDFUYfyntUR5MZX5Kxh0EZpjd6BAp6oQzN88arCU7ERo1CgYqGfCjCXgCj\n0V4gdyNAYBhSyBhtnnY3OEYsGmq7n5BKZUZndU9Kt8P0c8ggG2UjY2Oa9IhQcn1yRUFHYThx\nNa/A4ygPH6LFCgarZOqzJS1+lNKtaUsxndMPKKKV2S9IKjsb9iMm4WMjU482olXvsDcFD254\ngCRQ0YgXeoscIpuydgE01P8mT2YhAsOQqo3n2+xD1g6ohIARNdBNrtilo4HUczPPdzLIxuJL\nQqxIkMUXDWNCBFPuwolxol6EIvAB3s8Csma6Lj5Vi4odBdlLI431IRVKmncVKUi7VQ/dBUPP\nma+1dkhD0ap32JrhHDwuvEikoqHrsNPNaduDoIX+N61yLkJgGFKVSdrHbgYUv8rIY9Eqtgbd\nlOyEMPl5ZJCNB1EyrJGfDRJFpkPraw7gO9T9Fx6UFPWS54B3MRWVnGIe8BCvtS8zXb2bJRNp\nhZFvu0bJvJh+DqmjaUSBgqHnzCcjM9oPk8bWZ+fXWmCpSEVD9/PpzW1LHHPyOnkyCxEYhsQD\nS9xm6wJV8DN0lehu8cGNQ//o14JYNXOgOvXVBrxvUmFym6YfaS/bXLsLp3slIJ9W1IuQCi4g\nbzA9PakpeRNf5bl2H3aZfAWjAnTdKBlZYJ7MZBBvaDjR7fwI5C7hWOznjWX5eQyYdwVrTqto\n6NImdJVoUyIwqon0uAARAsOQyk3XPnZ1oKYUGUpS36C2sAP99VHbpJKUSfAkZfLRk8mAJiL2\nA7q3Y1f4Hj/GKwH5xNR9jogDb+L9LBDRS1LbN/mz8WBGd6MbnASyNdBUbMbGfQfW6XQasWIy\nsmnpJiBvMb/YJfiduw+0iobRgX6G5EltSAkG45IWYBMhMAyp9Czt7igP1E1k9LbSctCG5Oag\nxsSqGfuQBb5dPLrPghVdsVRC+27sJ27KA70SkI8paOp5CHAW3TNBRT9hZd9Mw6s3aN/NZMl9\nQbUGmhMvyZmRxnFGdyGzR/jt3xD0LniLmWWuwi/Z1zG6CczQCKKT22szgDGATNK0TyAwDIkH\nwFgkKgaU+2U0FtAioUbWm4yETVe6FDX5B3PGObEFh84IIlCoK8Fh1tUjAfm/QSDu/gPAKbyf\nyetkLG5pg6D+EXmmGVSprygOvenikpMxjeOMntX8R8IbWq+xhInnGaaV/xh+zLIRPQECxv1O\nJ7dXZQNDX0P8k0pf2AWiniHx04LvH7tjAzW90tD/MZRwbDAIDaQk21EjucPdRycwyM6HnWDk\n3acBJ0nmXcZaelSU/QUEYxY+Bzixkt+olegJRbEKGwWzj8mtFiX2NXxNecCmi1ufyoYZxxnN\nLL/NzwE86OgJVd5icqXP4btMmwUqGobcHc1gXp4XDMUnOskrQmAYUuFFuH9MyfQSlRozmjtp\n/ZL23UP/ILuGzNGx5Dx5vDMKo0wBrdaFwHpGrZGsrkcC8neA3A6wZBp0FPMJtUaTy0G5UNZO\nA73VGtOsSQ/YdHHJ4asG+Z32mD6BI1roRc8D8RYTqvEfPP02QTelIctH5+SWFIxhaBCKRpXR\nCAxD4nHBZ/Dd+GrkqWEoBdDzBVrrMxBJ8XizXZQUp0NfqkRlZpku5AAaYI82rJJHAvL84KGn\nJJyKkfAw3s902vcxvGRoi9LSCUYigPSATReXHDFrBD+0x/QebNMcSnGVyTuMCbkFN9PsFGi+\nGlM1yGoZW1gkjrEXS9QvCASGIeVbjp7D6FpkRskIGmkhIGMqL6m9aVJ/yEo59lmWqyZ8bQSS\nJ4c0YsVcdbeIcRlIzWDG9iVLegATczQN5x9IbcSAtM9icA7JPcHMxpHDV41GEZp+dAZWaHeu\nmP/hHUbV5jtByj1mod0Go12LDhTnF09gJGcNJbZnQmAYUu5VGKQMqx9CKSgZCTV6QIGxgxuu\njxXmHkrqR2KEXhl1T0RtQIwVWagVfXN5JCB/HkgVFsY2ZEm5FxUTyMmV7AEkMvL8tM9iaOcb\nMt9WmCbQrrtzlc3WKfQfkL/cYZiprbhr8RHiN8nodP5d/wCfJNsvkKo0NjyRf5tklf73HfjS\nxTUFhiHlXIsH8cCmJC3E+G3vk+1KBiN5PDXOxBwFQ8reYTNTDXQJ/yY7OP5p84vWqcl3x/Sk\nmJx7nAgW9EksKpRmJ8Y5fcnBP/chlkGBukEmRibotOefqWZ1czQt2bZlqHB9SFYxd8DL2lnl\njlAtxAmtoWo7LcowpOE9uJb4EJtSkVo1dgkyyc/92xQb9L8lMjIEAsOQsq3Hg7h3KzI+MGhi\ntP67kc6dWJVY3WlIipNqXdjMVAc5RrTU9A98/8u6QSPGJvZmM2YHkpBSp4xNLZ9+G8Y5dGzw\nK0An/aiinX/jQCab1U3qDynObOhC0q0qa6Gvxv2QjMpwg93ay7Qn89tsYJPfoE6CVwXFX2MY\nAE1zmVY+zXbHQ58JgWFImTdhrqlb+5YULcRoCKWbR40C4+TKxKo55IIUGcLAoqEWe5Ck6295\nPIM6BZMqP4khnqTnClvTC+jdY0IybcZSETknjP0E0KRr6N80w8OIKciDe78R4pFpZeO7o8dI\nLYR27Bw8kZStXWGtlihoSuvO9WvxJySO+xo9VMM8Zm6REdDkSgeNjYB0cYUIDEPKuAVzTR26\ntqNoIQYZhHa/jAQF6QuYHcltqSAeyWPNtDxrPIp0/TW/J7Elc2qFP8Ebr4atzhmP6hXBEV9Z\nNuJHmEYKg/0AUFXP9gS90gAAIABJREFUEtD30HA9+08e3KZq5ECKSTVBD0g+I6UFp0B9rVQr\nESZ3g7matdam5dZ7tf4bgmOeFMjRGBrm35IR0ASLV0K6uEIEhiGl34bV1jY9NcGpsDipO1X0\nIIWKOgmT1Poxm1vJ2GAc94daa0EJqZv4JT8DsZNsVul74Kq7RYyFhZNQvSJ4A+VYhzVXmobz\nLUAR3Te9Q5Z0jRnM5Igus6GUFGc2/EI6kTEKKmqVKLLW6x7jtSCvUjNysXu7RwBwWsCiMDaR\nH+AjwhkfZ0k4SfSYCASGIaXZiR5t8/49qcYxY5oL3YVttAWQstWm2Aw5rxtrTx01sl6qDQT9\n+1P+7eIBMq/49+DyI4kwvVxKuk+iQ9fcqzBTJbqBIPPQ0L9pqpRBNSRVH8xYkawSvKz7hXT8\n1Q8KsWPxRdwS1xio7QQlKG4kY106siDgESs5VMO8vp+gBJFusH44OjclQmAYUqo9/Iu53nAI\n6b+bzH4yTDca1QwVFCtMUgs5Bhsj+26ahaWPOcW5fA3e1DrJFhW+A96EB2x8tbQ7yIXm/fIt\nHxsi0pm6CZBYz6rQt7ORHX+s8zqt2G7EimQrhFHspaXHOwdn034GcbXNFTpqFJW8dJcg9xxi\nAfc9DClqG4wT8xcAwkGxDsSkc1MiBIYhJd+HHm2dkeTNbtZUydlTRuv0HEqidq0+m8B0fazA\nbfx9LfLKDEOdy5fhrJaFWJb/a3DFJRZjdK1Mm8mFuiMKLsGEwQ5SIOILgKBxoX//QLIwzE2I\n2m+MFljaAzZShXfJ0655qtSaSAI9icA1GmlOV2Z6AEi77iw18GiYnoVqFKP/zZg6zRbHsjXl\nKZpCS8MzQ3pVOEQ1HHBrSDxA+RWu1BhLBsKm9AiZ7zLaDsg0z2qj+4F0aUzLzQGEBv+7cFKz\n3lW5vwSPRpoMr0/2vDNWZUKRhSPrilQ9PuUbsE4WpDmHpltM7Tem3Bi53xjDzOmccf188djm\njJYmhoihimaPqShKl8a8+A2L1uRQDUsd9t6HZZ0titah7P+6Mo0IG9LdzYsQCwqRYhLhhFtD\n4gH973C58iRyOP0rxj0Q9zixnFeXlyKjdDPiIOdN9DLuvrxAVPzfhuNaS+a67PxGFtHDnx1v\ncO9wUJPcq8jF0rNKzMMNle5R/Qjigx4M/kTmdc36ECXObDpKpEy+sYPRfMa6ZeA/TYuWnFLm\nGkU1pywB3beOQ0Vi8fCG/h6sTUZtndK61p3YndVH1JCuJINQUENRwgu3hhT/KHJ0ys4g3S8z\n6iR1QXKtCf2DvEMMZXA6F2HycQoDQc05B0efYIZjU+ZrIJ5b9MxIvZixvi0K0ASZgotLz8KN\nhBYjuALpQR/lSOvsmxlPapSY0UtOj3EwTmajHdmGWrXgV42Ol5AaruQa2YCfmU+CyYIZazKQ\nsWTc96PpSNa21xHOCexWuQHROGcaETWkpjGXH8vZ4OLrlSiiWrjh1pB4QM/d7xJzydSs+cuT\nwxAMT4kUFjb/p9GvY4WZEy8BRKLjFBx+hLvn1gyXIeJDtv4K6o7JQ1IPC1vMy03H1oFT5PSj\nDyCv0axF3+wd9HotOUrMlCIms2FGmzE92DCkJdyZWJkJ5GpdIwPKrj0AWgACqVyZ+FZBK5xb\nSd9TndGe8TkQAoVAGhE1pAz8DJjF44ifU9AhcPjg1pC4x8BDw8KLRjn3GKvLRsp3G3p1yyhV\nBfOYWpaXSLuZwgBlgXArj8MB7QvemfY9IAMTBCV7SuJTKIUHh6AFNv3WilP6Nxcp7b4LZY32\nYbpAYn4U6mtaYyRdyGyYoQlIp7qqdYdPtU1OkHFE/PfsyZiUcBCdyErkIvIt8/Jdi6YjWduQ\nFjlLtrYaRyw3fmhEDSnuAMYOxnrEv8rKrl9HDLeGFHwGP0i+5WRCwExrp6D2Q0NBlSzALDDO\nobVA+DQmb6gSELHvEdir5X72prwAoszvZirrTuI4JMCkVPlp5Gqy/VUnYuaN7gh6G2qD7sPS\np4bZHpH0gHPVHCdEaqkaAdbfZKqryjB4rzee2IKMI2L9s08aSAS7sDJGD8upPZqxkkkeCbRL\nrCI1prtqwEadj0OF1CJE1JDyNEe/kweYYyIx2YDe7H/wVs41ZCeE0R9Az8gyNL3J0VPmRJZX\nIGF2x5lkMlmrA8F5PQC7tIzvwaRvgqi8t+CZe9DXAPdWWvapTPeSxzleYyxm3mg9ozehFWwM\n/fsP8lIaGp2v1Ew+c5chs2FGgEWzRypNCj6juY6C6V+Ixc/e9BcHtuD5TEsSIXeyaj1R+6JV\nPpX4JDbFFIHUJo2IGlL7OEcf/x13DGNlvBSKd2lI+Os9hnOZN5E9KKZ1ZXQWDizHFDkzwhwu\nvBPAyVFraBSP6gDBcdsN27VGpSMJT4Ng3AqbJVQND4tJseBfHkuTMj7sEZyrNRoFP+jWzzNB\nPUEXvKPdr6pGBzA1LsD0e82GCgs66gEWHaGXn5bocBPccwTTvxDzgqmYhsKTIFiPsv703GfU\n/F6wX9SXZz2vjzvVcTtYE3lUSH2QnpUecUP6JiH/fboHNasOFDk6vHBpSP8gGxXOpt9GVt1H\nGBmIrBuIZYMkt46Kok0y/gFuSA6eYx1Dc6YhEGWo7bBF86NeiytsI2JTyOQAhbGJ4AGrP8x8\nTyu4wdYd0aWjSEXqZMwZoNvHA7IsWsLosU5HBDJm0uU1qrHK7PYjI/SyM9Jt0zqMSXFAH2bS\nI+kJ/AOwEkn99NxnXVvje7KiZe2Iets5lcPGTKZIjSTj0ndREawjfTzgHPurVkyo7Q0DxgeX\nhqT1RwSfTrV7ChV/mioYpOqwkaPaQEncmEOWjwEhO2K25DYDYnrqZtj0K6bITsY8Gk+UTB1H\nNmdTGJWSfy21R5Mdhkj6b1CreReRS/Na3BtBeuhDl+xzG4dFBkKr1Uy6kIJb5vxdsuhdenbO\nmeUwtCsunjQ25Zl5ePcBE5DHgdau1UNIOqViTcUQ3ea2Pnp9lJIVtOwk84zZ8JsbUcqnw6Uh\nae5TzJNJD5D0FTOlmX8ZsWyElOSMLKNjDef0Ovc4c3ZIa8gZdpEH0LBOK9qchYOJRbXIkWQH\nD4XhGVBNdjypPoJtAU0gVTdRx9qrCdhq/aSif3NT6piau2GmPsku1xZGIxjZ5FFibt8Y2TH7\nTgqH+zD+me/EexCXn577gB7bWyZ0wBi9XVjH8BHOX3NrNZRiB5OKFYiIGtI9/XT8KxJPpN9R\nDyTRgQRHyaJpF2OAGMonOGAQYshxYGa331tA6PdUNJiqHYB4+mpYrbWHvQW7UlBlTsRggU4d\n8chs3PupNJmcvo56YM0hYU+RnuxBSy6IHupnJr2zbnSumvwpctpJMyPpQlaKis3/AuKiCi6p\naebDaHKUCIW7kHoanva0CHTJ0LrzkyDKBThpcaR/dtbTsJprgIoVm5O7GIu4IRlq21O8VFpy\naUhahbHM1FivkwRu038vMde5akbH5FRRs9PrPW5Iji++7Ez9r25AkEWXwQqNfPYObEpDVoM5\n+j5z28uAvPzwKjvDrJxacRO+aQWxeouEwawMPJL78iT4jP4nlVozGXbkJF6zx5/yC1mRRd8D\nYORFJ0o0DAMqgqVwE7KNZ2wl0POvjXo1mb0+bpFU/teZYbS5zc4Z7O9sEsy4iKAhHdi6FXpu\n1bChRCQakkbw6tUs6OxcilBpHteUY/GfsT2TdGGzcfsqEEJYpmn2BmKgySJYqvUsvA+rMlAe\nN6LbM1O6+hSBu/wdyRGd2B/QVuNp0QQg6wCwJ1RflkUGiQolzS2KVGVoYGQvSQ3/gkv+AMCN\nhE6UaBgIzzqp+TMoPIqx+UBP5jXyGWSr5TFrqsTphtpkZJ17wvjyDQiOv4YIGVIWsID8ecMJ\nl4aEE0PY8qxwnqTxmLsM5ViYrvSOtM5VHBMWis/4Z3RIbpnO4gAgslnzYJHWRfchLMqcajd9\n8R3gWcsVPUvDbVZ4Edm9iDmGDgADQv1cB2xlVH2EoYl1lyxNSnmJHLXpNJPJjHqGVhmp4Z9/\n2ZNgbfsnZVp96AP00FcnrkKFIZicoNXUjUCYHPprU9ZL6RinVccqbO6MFUcVFe4EETKk1w8e\nhIEHfXjdm05qH1waknYTHIwF7y6kEjmmhm/1cc5VcycmpzaaMoM3gSgFmQTSoUBMk58J87WQ\n5SOYld3pKPjQCrBM/PYzNFl0rcSj43zL+1JznFB1pAvgKAW658c2dd2Zoi45yaIaSeVkzDQO\nmcwwlfVLUcPEuWkm0gLM5mJqc3egpGwpvA91+mL7Oj1A3ShVkbNKbVUwJ2HJpgKaZWPY5aG5\nBQM1Ix4j1SAo9xGHS0PSpPzeAPiQFLwwM2vUIAUzS0qW7M2WybsATvEUs8A4CohRY1NhjibZ\n8ylMyiNixzTRZtGUpAl0NnQK4Z8z1xpy/Ay31XvdAZsL6VSCrW/W2XBUbJCFhEYVe0xlGFI3\n0SwDVJ5IvDt3FtNrjd3C7DH/dECNuaBwHlrysLc/ld1hmsah8aZOHLCWv50FettW64wV+2eq\nLrJ2fzb2LU1qg+SRLg1Jy2N+CHB9GVHLYSY3rQExnd5soCE74oYbLZP3qN5kMyIYT4kyTICZ\nN3ED/xJGFxD047F6gO5hQXE6y0C7+vApy7qBFq67Ar/OigEjMFt19k+ne2XjbDtrPYU7ng0y\niAVFieSm2Y1FtgWa9xfp+/CvKbfGXKKHFmloA2K3z44zwZiI7RKDVuQ3qu6kk2lTH3ceOTbN\n65xrwi73SingZ/m3se/LgXEgUQEDYVa/r13DQF43hnTkO03RgrteN0jeqZkQsCU39bc1klzk\n+FNzaBIPl5011SzGiMApQAThY2CaJhLwNQwuQm6QHCGAzlAucTrLQKtmcJ3voqPJzlBMphXV\nNvVYr7/pTKzZiIRxHG5EwfqHzeCBqpqa2UuyCcO8AUkdzWwbWHGNj0MqyPjQHOhZlU68FhdF\nY1smpWJai0dHTo3ebfXfnYmRilbhDSefqUt8cvAnwr+NfceB3E01/Dl5lIFabgwp60TtZv2F\nHwkk79T0VCiNR1PfjCSRmX7UP5rIUxiYiZ2ZQEjTjwRf7HEHepcgZ9AypI3jCI3MlLJ4GDRv\nC1dZmp20AiRyVUsBeibxjx5x5gOWW4suzpJWvvLbzduS6tMw35Rk6pk3ICkNnnkTq6LdwXR8\np6ER1WJM4lBinFJa76VU5Krxk1Qg1GjsGSWnpZS3jjNx/mLtg0rPDPv/QuHnxr5cYkOywpVr\nl7Kylkh6FJTA0jVjgdmaTf3IZnmbHJVgGSzbAMBBTjD55PMISisbAuM1TcTvoVOZwtQQNI4y\ngD94GuKwDIvGXeASS76P7HnX6qTltcRXkkNbnQoktugxviPtmyffGtP3o6oEZvaSvGPMeTrk\noDweH9bXktWkFoAPdZ8577s7FXZCV81PF1yMDAJZs7JNaHL2Gpe2pkqcvmEryC8aTu/nxr52\n5PQnB1wZUpw472mKFomzs/VURtSkqlL6keaoPXKOsEWX6EcAR4nP7DhYDEQhdACM0TR8f4Ly\nFUsJfoJiMJH/M6mIemJBg978MEh0eDoppYrS2lVgjnZNy50Z8AXWwoCzBTZniiFmwpNqeDKz\nl08okaEyxkZNjrTOsI210bja5DA3H0KAliB2YktGvJpSZeko2ygzkBMVbNlLJ9PFNijYufU1\ngZfo9uRAaOz7FyCuxj7MVI7WdDM690gP3SyLWIveBvqYvce/grPiYxb9VgDBUOgNozRmJHc7\nq4q86wKaPxaPpCvYUWcQXOBu2WyyfQDHjocAerFpd8xwZkVs2j+JDoddzgZgkArJcpul95gi\nDZrxyEiqSZmfEj00SyQbxnyoAs+2yaLWIEZs+WvSg3KS64VvsmZlu0OcTBfbGeUcv10fkono\n6y9+Yx8q/WniiwWbUHS5t38yy26Uh252HZAD402ZIBZanLchgWFa6+IQJMnuMPwqXtt9gBCq\niIXIBViaCKZmPIRBzZHcQGKcWkBVnbWrrwvoxWbaPBocQZBtNoOzlzwLWBp8zXqBCbMXhdRG\nMe85spMl9S62UytO0W6phvJA69Q5sSIvVrWyNE9ArhofjiT32qbYlnEEPLaMkNPOakJMiveM\nePEb+26hIWGWqkIfii6Xb6m5/w4i9ryrhgLqeaIQZHX5/wZwkE5M5apXUhAkyU4w5DIODHoA\nUEdUE8+Cc7T/BXEUbqDaODj7GM6RIi2a5kkjrQk22/o+4OAt23jxzl7yTInA9GFrECY/zNRn\nokiDRQwviKQ7GjxqklXsQ6mYIcI1OxYVxkM5dWdSLsn0W0miti2KdjoJtoR4aUdtuSoArYUW\nCI19H6Mh4cNn7KPoci/NMasmVAXG5GCSPdqWJv7HAA5ms1naPFOBIEm2g4FaoZO7nw1EdMf0\nWEX9g5JOCYvKk2Kc+gcu0OLeqFHfHJA9kXtVW4NKbGCytVPLyVbK0BjMCg9VvR9iXh8l6WDG\n5YspMzd4hvNKEKs+FE1SWbhmx+xSyGBJNICeOGUcmGT+0JbXdU5KTW+l1zmTLuUBKCoh4sVv\n7LsIyUHvjdvpLC2knGAGDNRYUVNshlTLsOYnYoCDmxV0xvybIEm2gn6aeT4BaNpKsNOkgEFY\n7aVCizAoPy3O8T/hPVodHtmYbTRLz7+sHjgStxOsTfiZHOSZtN3BdISos9NymDsZatZMMXl1\nxldDz1rRUCCD+LSyY2oFVFiLMYbqMLRUm8nir02Vz5nXs20xzgOrFAgp6i9+Y9+pGAVBb8Tf\n7SwtxBtoSn1Qkg5mEz85vMfaWhwHwoqn2BQKCGmVptDbN504BrSkux/4zhq7P/KPyImndpSZ\nGf/or/AhrZKPyfuOgG5NkYUVwVEJGmP1m3I5/JPUo8FgJNop0KEYYM5QoSS18hivuJXiGxje\n4EryNNWQOxcZ+xGYUI07aH/DDFqD3mgHIUcLLrXyAJyUMdtmWNmRdCkKIEpOv/gi+geTVAF9\nJp9z/PzjoA4mpYUaJXbO0BEk2ZjtLf5BQtgWZtXW2ZPZ4U+xhtDjgiYMEAfakgUWXErSB2kZ\nFehVK0rMTXz4R7hO9k1pnXvdtEJXyTkFwJEuGGWlQxR2pH1TzLVwr6ledksZgJKQMdk0xF5m\n0eNZRzO2EdmK+u7xp0ugvFxzU2b2CywlR7eZPSK9qHS6TU63voMyZmuscCZd8oPjFtAREUPK\naIfr1xHDjSFtydAU9Eb8/Q5Fnj+ggVkopcaKmr3H5NigNhY1jGSO7chGECU4QLWhiy+FkQA6\nior6QWl7hmo/Pg1FFyTbfxc+30l0EPqYgn00uy73cqwkjq4ZmwatM1uVdCOYxkUxqSwDc7I4\nNwxTrpb4CZglbtksTkllqqiVbGc+vZo0ou72dPzX2kglhyw/CTmaxNZo4wxbbXReZ9IlFwDV\nm4GIiCFVQGQGSFU0SzBUeIaK4jPDjSGtzNPf6GA45MjB/wAVTI9tLhHqvm5oMpEzQ62RTSpH\nDG+TQyRI05Who085t178riZrz4Z/IVs3pJzSSh42FFySas83cNN57CLwJBiodVBULh23kWNM\np+3dnVtt4oMxzCiaaqe2bO85iAZa8zQmteuNuIXs+fIhbW3NZe1NDiO3YXCjPSnZF7CXnIFo\n9peRLHlbEc7R1GEfDeVMumQBZz40FBF17W6mrYj9PDfrJXQzJ/BpcGNIc0s8bKQ34jtZPjeh\ngDmwnpLJN1smf6M64qzfdXoIS+C29f4QFLVS0O6s79vK14vmmrI/IX9nTHmIgwcD+Zan3fEV\n3CY5gVqeZZjGJ60Rs5TTjbQRDuo6iH0JXk1thtkUJdFSy85DZIDNHhFSrcvY6PeJ+6hTNNN6\nD1vTIltW9G/Gv4IrcIJUwjSpgCRLfoaVFuJQv7ALptRxhFAZAIiUpYaIGlKLl3y3/MPs1EEa\nXrgxpFG1WGedk+Bk+XwEGU31MmqQgnlbkkPPrW5OZgjLq//D2jNLEAIKQutQ17FMvwmEEitD\nBY4S7VGaRxw8GMi1OsPWz+EuSWXSMv+jNZZSHQhx8nRsjqWzVBnv2MemcGIbx3lmi9ypvj+T\nPWJVFzFgJDcPk5uAhsQdNSOrTSsxWNG79Wtx2QV42yLjbcLUYyaF4G2CbTY5SPuTEU6OUSqi\nJh+KCHPtdKZhV0oSOrxwY0jtu7K++q3lHGnyLiQws6QUp9Vs5yNHzFp5Jjkc1TjbF0+UX3LE\naRF6Y4UMoily7Huo1IbffpCJXLUh+/rMmz6G/51wCoQyH4lsvBYOtoDGzs3YFnm3dwwGso1E\nak8UYEwpJoKCZs1YniX4IeY3e4w6r3yI1zcudwAnJn/6F9GtPd+dTsWgJWV/MTTWx1IFXtt2\n1qVTmFX7dKeGjkgzKQA9Ut4DQ9LTtjUyu34dMdwYUtVxbJju0b3uuMfOAJhMEipxbEnXUiQy\na2Inj6M8YxMhbOBMdqVP0TT0tl99hArQGBIzarVEtX0yg2BH5k3Z1l+Dn0kqk/bZpmidHF2g\nvXOYgM3Zc3IOY1qDbEpN1FKUodqVUhm1pbf0DKoFpiA4PbTIdwkjoBZOxyEHDoa5ljfh0eGE\npAqLJdKdSLkAtjJAj7Ae8F3b7B1nLiI+AKV/iYhwG0WwL/N+KDiyXLvcK9k4PcfgVAE9AmB2\nkFM1DstIAko03RpOFISwvHrbcOEWzsa0ZJkbGYckzezhQXOTZoztpTSIwiLj1lyrL8NvpEKj\nllj2qf4OhF5Owptt8x3ooEpZC8vOjZrZvCAnc8aqZkfJ3pk3GXVe+fAEJmEtrSBQ1GE72vW4\nCA92paa1mc1GTarYYefUWhjJPmi6AAaaOXoUYwU7W9JCEVFD+ixRcMv1r21oGZw4wnO0LHBj\nSAkPs+n6LubcrHeBxWnaRWz7Fs4IxX0xlVOw4SGsU2NzBYiKa9z89Y/qB+JqWj3qOrRtzCMc\nIAMfO9LuyLviPfiTVGjUXn6e9rWNhWFON9J2caPC5j3sXi1VybTETVSXhVnI/ICIXMzokzqv\nfPgb5uLAo9wgfISBln34drIxC1lAtxwqJK/PNtPREUp+oQlL6HDsjE8gkXCKX4QLshdKav2x\nZR26IBGBC0P6HT5gC/QioHPI1gawyJ9RqgxLTNIKNfUlxMIiKQVhefU2/QKnw/Q4qHSdI3o6\nmCYksMvQvQFe5jNI6afaU3AJt6L3yS8HGXiLtcrKTJjgdCNtqiMODrZ9GEtPotvEksmjZAtM\nIusVcHLFzEwavQn4HrMC+J2fFSj9SQOvYtm46YCP4Kfl+ex3vQ5Tm4WcGm07jB0VCfsh1zps\nRecfSCcaheAFs+GDbfN2eZn7Zq4M6Su4xVbpJ81bDq9nGYCZ86YSx5Z7jtL5qWZRjSkPYXvz\nbKqmzlTZX1C9pqEVTA7owltrQF2UDSX9NTuS7S+ykG/pV8ggG7kvK7QM4TKY46S02ajQs8JW\nf/+26SP1DuvxMJubQ/WDmF4x5XDdN1ha1Hnlw2+wCUpgiUE6/X08ktgbDP0c7s4t8RU53vqW\nMauXHK5ty1462gwvm6USRkge/Qk5SEFxREQNSTsBvtm68uqzDrd5JrgwJMzdvKKTvp3T6uaC\nZR7Vq0QHi8ULoqR6q1i234Hxw0YHd61kiOGOYt09aFzNqPTTdVR2DkbW5KdIjGeYSZH4cIl5\n/MylY4PFfL9Yq+XEXoEVKx05ZFvt0cHQtg966UdwMCzZS6u3q8NkvlP6kWZOhjqvfLgHp9IX\nYSxlMKX2ZWAMnjJ1Rn4NX0+p+LUtoNFh/l8yKLWpazpyMhdtv4Ij6fILFHFqhIYiQob0eHlO\ndL0PxeK+XUVqmwwvXBjSuaBH7Aedt+H0HKaDZZIeNfDbEpdT8iQ2WRlTmSAUd6yC9eMgbIHl\nDrSvbNgPKQmBdRfUFRmR1rYX0oh/tPSsUzEEc1tw/92kZSz2wyvOCTVNrBmoNWEZ2rZ6GNkt\nbsleUi3cZtbvBnFOmDmZj2GdgHLIvWQcZpZ4LTkpWscoPGpDxvINbFx1elqA+f5ku0k362xL\nB4nZnsexPdZ3jRVIGVtEhAxpGhR9he8BsVPvuTwvAeWRhhcuDOmI9ZRxDuCdBGCe31Ty1dJa\nQQ2rsNlOxbC6NLesgifTIWw//xfQu4JB4hRkfo/GR1PuVuQZhrvEOVF++ok4grkt6KLu1E7m\n12GfMz1p06zeEnbZTuqguDWWKj/Rwm1hwZuulYmfjJT05zAkDj18+i58jvmSuIekN+RwTA1V\nmfgjXB9V+y7FjWRfGpETqYRj662wNWkhrENfCNbrHaglmgQcIUN6EKc7enZjtO6C3U4Z0vDD\nhSHZQg9nHD4GwPT47d+TD5Y0DiVDZeN3OhrBNEE9HXeyhn3+VRhe1qCYvkGOq2f7k2Gatkld\n0uG3I8apSpOPxidvVV9n6l9aTP8OHHdSsG2sIIeXadeqs2W2QmFKqVIt3Bbyrr0U48MPxmCp\nG9Bb0IhwG27gORp8RjRHSsNgLFZUmMoNf0hDeuyGeV4Ts5bDdPs5kpt2l6V/2IrOV9BcOJs+\nAob0yzbYf50jT/zL/J+XY068/oPrlxLAhSGtsmaVLztSPiPigtnn6EzqIXHL+JOSJ7GpDFYL\nq1drj3cdeeGLMKmUYeiChNXONPhzVu4mDQ008G2/6oRDiclb1XpTXIfzBx3kXVtg40i62Cv6\nIwjxBMtHJ1q4LewqSojVFOi/DR2BnDbO96RbmzOhRZJDJHQMwDO3zCz+fv2bkSRj9gnod+Fm\niiNhu3iHjIz9i3Foh30IvYRjBSNgSOsgLIgoNHxwYUhzrJleZyw7OKWlhEZVMSxJayodVdya\n8bZsyz7YM7COA+ts0JL8W/X2EnKuEP7ceJYUHO8cYhYW/8FbIWP2J6NZ6pby4y340MnEsTWD\nvho2XLPf/Y4yE7MRCds5xanNtJyFomPCFOH8Dlpkc3hkj+p8p32VO9JiojwDNTFbR188S4vP\n419Fr9Y/k/OSPLEvAAAgAElEQVRrzFQMmSa1HaeO4SV2+XfHhnIuaKxwKlxEXLsrWhnvNdA2\n4p9iiFqewgEXhjTeSgRxskb6FUpoJlwvOKfvWp1mqsXaFjc5Oirtcb/Dzo7F25/UEDYiJpY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mfyFzvXUQzfzTUmw86TrFYduRLIIVuGls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\nRK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(harmonic_sample$data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "22de4e2d-35ab-49a6-a2ba-4a8f25ec9c72",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Hm7B5jfzU6/aTYEYIVukH59qn42oqBc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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(Mod(fft(harmonic_sample$data)), xlim=c(0,300))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "19a42d59-319a-4be3-8cf7-23217b1759e7",
   "metadata": {},
   "outputs": [
    {
     "ename": "ERROR",
     "evalue": "Error in load_all(): could not find function \"load_all\"\n",
     "output_type": "error",
     "traceback": [
      "Error in load_all(): could not find function \"load_all\"\nTraceback:\n"
     ]
    }
   ],
   "source": [
    "load_all()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "322d2c39-4b6a-46af-9422-67765acbd7ce",
   "metadata": {},
   "outputs": [],
   "source": [
    "SPECTRUM = mfft_real(harmonic_sample$data, nfreq=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "5e2bbfc5-fdd4-417f-ad32-a602b26dd872",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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LXNAXykWGZm5k9+8pM5c+asXLnyzjvvzM3N/fvf/159DS8JtmzZcuKJJ+7+dseO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\nINgBAAAAcMT/AXv1zY3iSljCAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(SPECTRUM)\n",
    "points(harmonic_sample$spectrum$Freq, harmonic_sample$spectrum$Amp, col='red')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b5bfe513-637d-435e-8108-9b4b39334c48",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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r6+Iijov+9+AgAAXj+EnYrd1mjEt99e\n9PHx8fEpjYpSeg4AAFAY72MHAAAgCXVcsVu6dOm0adOe8+SsrKwaHQMAAKCf1BF2vXv3vnTp\n0sqVKwsKCurXr29vb6/0IgAAAL2jjrBzcnJavHixn59f7969vby8du7cqfQiAAAAvaOm37Hz\n9fV1dnZWegUAAICeUlPYCSE6duxo/NTHLQAAAECo5aXYcuvXr1d6AgAAgJ5S2RU7AAAAPAth\nBwAAIAnCDgAAQBKEHQAAgCQIOwAAAEkQdgAAAJIg7AAAACRB2AEAAEiCsAMAAJAEYQcAACAJ\nwg4AAEAShB0AAIAkCDsAAABJEHYAAACSIOwAAAAkQdgBAABIgrADAACQBGEHAAAgCcIOAABA\nEoQdAACAJAg7AAAASRB2AAAAkiDsAAAAJEHYAQAASIKwAwAAkARhBwAAIAnCDgAAQBKEHQAA\ngCQIOwAAAEkQdgAAAJIg7AAAACRB2AEAAEiCsAMAAJAEYQcAACAJwg4AAEAShB0AAIAkCDsA\nAABJEHYAAACSIOwAAAAkQdgBAABIgrADAACQBGEHAAAgCcIOAABAEoQdAACAJAg7AAAASRB2\nAAAAkiDsAAAAJEHYAQAASIKwAwAAkARhBwAAIAnCDgAAQBKEHQAAgCQIOwAAAEkQdgAAAJIg\n7AAAACRB2AEAAEiCsAMAAJAEYQcAACAJwg4AAEAShB0AAIAkCDsAAABJqD7sHjx4cOrUqczM\nTKWHAAAAKExNYffgwYMZM2YMGDAgNDQ0NzdXCLFo0SIbG5uOHTs2adKkc+fOSUlJSm8EAABQ\njJHSA57X/fv3O3XqlJqaKoT47bffDhw48PHHH4eEhLRo0aJHjx43b97897//3aVLl+TkZEtL\nS6XHAgAAKEA1V+y+/fbb1NTUH3/88ebNm2vXrv3Pf/7zySef9O3bNyEhYdWqVbt27dq1a1fZ\nJT2llwIAAChDNWEXHR3t7e09fvx4Gxubjz/+eODAgUVFRd99952JiUnZCb1793733XcPHz6s\n7E4AAAClqCbsrl+/7uzsXP5ty5YthRAtWrR4/BxnZ+erV6/qeBgAAICeUE3YNWvWLCUlpfzb\nsq8vX778+DmpqakODg46HgYAAKAnVBN2ffr0OXjw4IoVKzIyMiIjI7du3WpkZDRt2rSioqKy\nE/bu3bt3795u3bopuxMAAEApqrkrdurUqdu3bw8ODg4ODhZCeHt7Dx8+PCgoyNXVtUePHrdu\n3YqKiqpfv/7MmTOVXgoAAKAM1YSdhYXFqVOnFi5ceP78+U6dOo0fP75BgwZ3796dPXv2xYsX\nhRCurq7r16+3srJSeikAAIAyVBN2QoiGDRt+9913jx+ZMmXKqFGjkpOT7e3tbWxslBoGAACg\nD9QUdhWysLDo0qWL0isAAACUp5qbJwAAAFA51V+xK5edne3t7S2EOHv27PM/68GDB9OnT8/P\nz6/knLLf4QMAANBz8oRdSUlJXFzciz6rqKgoMzOz/D1TKpSXl/cSuwAAAHREnrAzMzPbt2/f\niz6rcePGERERlZ+zcuXK06dPV3cXAACAjsgTdsbGxj4+PkqvAAAAUIxawy4nJyc3N9fAwKBp\n06YGBtwCAgAAoLa7YhMSEkaOHGltbd2gQQNbW1sbGxsTExNbW9thw4bFxMQovQ4AAEBJarpi\nN3bs2GXLlmm1Wmtr686dOzdq1EgIcf/+/Rs3bkRGRkZGRgYFBYWHhys9EwAAQBmqCbvly5cv\nXbrU19c3NDTU3d39iUcTExPnzJmzevXq1q1bT5gwQZGFAAAAylLNS7EREREtW7aMiop6uuqE\nEG3bto2MjPT09Ny2bZvutwEAAOgD1YRdQkKCh4eHkdEzLzFqNBpPT8+EhARdrgIAANAfqgk7\nFxeX2NjYkpKSSs45duyYi4uLziYBAADoFdWE3fDhw5OSkvz9/ePj459+NCUlZfjw4QcPHuzf\nv7/utwEAAOgD1dw8ERwcHB8fHxYWFh0dbWdnZ29vb2FhodFosrKy0tPTr1y5IoQIDAwMCQlR\neikAAIAyVBN2QogVK1aMGjVqwYIFe/fuPXLkSNlBQ0NDS0vLoUOHjho1ysvLS9mFAAAAClJT\n2Akh3NzcNmzYIITIzs7Ozc01Nja2tLTkkycAAACE6sKunLm5ubm5udIrAAAA9AjXugAAACRB\n2AEAAEiCsAMAAJBExb9jl5iYWL0fZ2Vl1ahRo5fYAwAAgGqqOOyq/fkN33///cSJE19iDwAA\nAKrpmXfF9u7du1u3bi/0s6ZOnfrSewAAAFBNzwy7nj17vui1N8IOAABAQRXfPBESEtKhQ4cX\n/VnVexYAAABeiYqv2C1cuLAaP6t6zwIAAMArUfUnT+zZs+fEiRMXL168fPly/fr1W7Ro4e/v\n7+vra2hoqIN9AAAAeE6VhV1iYuK4ceMOHDjw+MH9+/eHhYW1a9du5cqVXbp0qeF5AAAAeF7P\nfIPiEydOuLu7HzhwoEePHpGRkWfOnLl379758+c3btzYs2fP+Pj4d999d8+ePbrcCgAAgEpU\nfMUuLy9vxIgRpaWlmzdvHjx4cPlxCwuLdu3aDRkyZOvWrUOHDg0KCkpOTq5Tp46u1gIAAOCZ\nKr5i9/3336ekpMyePfvxqnvcoEGDZs6cmZ6evnjx4pqcBwAAgOdVcdjt2LGjTp06X331VSXP\nnDx5sqmp6RO/gQcAAAClVBx2qampbm5uld/3amho6ObmlpSUVDPDAAAA8GIqDrtHjx5ZWFhU\n+eRGjRplZGS86kkAAACojorDzsrKKi4ursonnz171srK6lVPAgAAQHVUHHZeXl43b948efJk\nJc88ffp0enq6l5dXzQwDAADAi6k47L744gtjY+Nhw4bl5uZWeMLDhw+HDRtmbGw8fvz4mpwH\nAACA51Vx2Lm5uc2aNevy5cvu7u7btm174tHt27e7u7unpKRMnz7d3d295kcCAACgas/8SLEv\nv/wyMzNzyZIlAwcObNy4catWrZo1a5aenp6UlJSRkWFoaDhu3LgpU6bocisAAAAq8cywMzQ0\nXLRoUWBg4JdffnngwIEjR46UHTc2Nn7vvffmz5/PtToAAAC98sywK9OuXbvo6Oi8vLwrV65k\nZ2c3aNDgzTffrFu3rm7GAQAA4PlVEXZl6tat27Zt25qeAgAAgJdR8c0TGo1m0aJFL/qzqvcs\nAAAAvBIVhx0AAABU55kvxU6dOvXbb7/V5RQAAAC8jIrDrmfPntX7cc2aNXuJMQAAAKi+isNu\n7969Ot4BAACAl/Rcd8WWSU5OvnTp0vXr162srFq2bMl9sgAAAHrlucLu9OnTZW9T/PjBbt26\n/fDDDx07dqyZYQAAAHgxVYddamrqe++9l5WV1bdv3969e7/xxht//PHHnj17tm/f/t57750+\nfbp58+Y6GAoAAIDKVR12U6ZMyc7O3rhx45AhQ8oPjhkz5tdffx08ePCUKVM2b95ckwsBAADw\nXKp+H7vjx497eXk9XnVlBg4c6O3tffz48ZoZBgAAgBdTRdgVFhamp6fb29tX+KiDg0NxcXEN\nrAIAAMALqyLsjIyMmjRpcvjw4fz8/CceKigoOHTokIeHR41tAwAAwAuoIuwMDAzmzZuXlpYW\nEBBw6dKl8uOXL18OCAi4f//+woULa3ghAAAAnkvVN08cO3bszTffjI6O3r17d7NmzaysrO7c\nuXPt2rXS0lJbW9ugoKDyMy0sLH799deaXAsAAIBnqjrsfvvtNyFE48aNhRAPHz68fPmyEMLC\nwkIIkZ+fn5CQUH6mpaVlTc0EAABAVaoOu4yMDB3sAAAAwEuq+u1OAAAAoArP9ZFixcXFly5d\nun//foWPvvPOO690EgAAAKqj6rA7d+7cBx98cPXq1WedoNVqX+UiAAAAVEvVYTd+/PirV6/2\n6dPHy8urdu3aOtgEAACAaqg67M6cOePn57dr1y4drAEAAEC1VX3zhKWlpZubmw6mAAAA4GVU\nHXZeXl67du0qKirSwRoAAABUW9UvxYaGhnp5eb333nshISHNmzc3MHiyBVu2bFkz2wAAAPAC\nqg47rVZbu3bt33///ffff3/WCa96FQAAAF5Y1WE3evTouLi4Zs2a+fn5mZub62ATAAAAqqHq\nsDty5Mi77767f/9+HawBAABAtVVx80ReXl5mZmaXLl10swYAAADVVkXY1a1b18nJ6cCBA6Wl\npboZBAAAgOqp+u1Ofvnll6SkpKFDh549ezYzM/PeU3SwEgAAAFWq+nfs+vTp8+jRo82bN2/e\nvLnCE7grFgAAQB9UHXaDBg3SwQ4AAAC8pKrDLjw8vJJHuVwHAACgJ6r+HbtnOXXqVEhIiL29\n/StcAwAAgGqr+ordE86fP79p06aNGzempaXVxKAXdffu3Rs3brRs2dLU1FTpLQAAAEp63it2\nSUlJs2bNat26taur63fffZeWlubg4DBp0qRTp07V6L7HXbt2LTAwMCwsrOzbU6dOubu7N23a\n9O233zYzM3v//fdv3LihszEAAAD6poordmlpaZs3b964ceO5c+fKD3br1u3777/v3LlzDW/7\nXy5fvuzh4XHv3j03NzchxKVLl7p3756fn9+rV68333zz4sWLO3fuPHXqVGJiYsOGDXU5DAAA\nQE9UHHbp6elbtmzZtGnTiRMnyo60aNEiICBg4MCBnTp16tChg46rTggxZcqU+/fvh4eHf/LJ\nJ2XfFhQU7Nmzp2fPnmUnbNq06aOPPpo+ffo//vEPHW8DAADQBxWHnb29fdntru3atSvruXbt\n2ul22JMOHz7cqVOnoKCgsm9jY2N9fX3Lq04IMWTIkNWrVx88eFChgQAAAAqrOOzKqq5Pnz7T\np0/38PDQ7aSK5eXlNW/evPzbwsJCGxubJ85xdHQsv8QIAADwuqn45onhw4fXq1cvOjq6S5cu\njo6OX3/9dXx8vI6XPaFDhw7/+c9/cnJyyr7t1KnTyZMnH38XvdLS0mPHjpX9Bh4AAMBrqOKw\nW79+/d27dzdt2vTBBx/cvn07NDS0ffv2Li4uc+fO1fG+cjNnzszMzPT19T1+/LgQYs6cOWlp\nad98801JSYkQIj8/f9y4cQkJCR988IFSCwEAAJT1zLti69Sp8+GHH3744YcPHjz45z//GRkZ\nuX///qlTpwohNm7cWLt27aFDh7Zv315nQ7t377527doRI0Z06dLFzs7OwcHB0tIyNDQ0PDzc\nwcEhJSUlJycnMDDwiy++0NkkAAAAvVL1+9g1aNAgMDBw9+7dt27dWrp06TvvvHPnzp158+a5\nurq2bdtWl9fwPvroo9TU1AkTJpSUlBw+fLjsHZIzMzMTEhK6du26e/fun3/+WWdjAAAA9I2m\nGh/2mp6evnHjxsjIyLNnzwqFPi724cOH2dnZRUVFdevWbdKkiYFB9T8brUorV64cPXp0bm5u\nvXr1au6v8qL27Nnj7+9fUFBw8OBBHx+f0tJSpRcBAPBaKCwsrFWrVkxMTNeuXZXe8qQX/kgx\nIYSdnd2kSZMmTZqUnJwcGRn5yjc9j3r16ulVZgEAACiu6rDTarUajab822vXrh05ciQ3N7dr\n164uLi4zZ86swXUAAAB4bs8Mu9LS0rCwsB9//NHT0/Onn34qO7hjx45BgwYVFRWVfevp6blj\nxw5zc3NdLK1Kdna2t7e3EKLsBeLnVFpaevjw4fI/UYUuXrz4suMAAABq3jPDLjQ0dOrUqe7u\n7l5eXmVHrl69Onjw4IYNGy5btqx58+YHDhyYMWNGr1699OQ9gUtKSuLi4l70WdeuXevTp8+j\nR49qYhIAAIAuVRx2jx49mjNnTlBQ0KpVq8pfhw0PDy8sLFyyZMmgQYOEEO7u7s2aNfvwww+P\nHTvWpUsX3U1+BjMzs3379r3osxwdHfPy8io/p+zmieruAgAA0JEKwi4rKys6OrqgoMDPz+/C\nhQvlx7dt21a3bl1nZ+fExMSyI05OTkZGRrt37zYzM2vcuHHTpk11tLoixsbGPj4+Cg4AAABQ\nVgVht23btqCgICFEQEDA04++9dZbTxyZNWvWrFmzJk+eHBoaWhMTK5STk5Obm2tgYNC0adMa\nfa8TAAAAtaggiT755JOyX1b7/ffftf8jOjpaCPHtt99qH5ORkWFoaBgREaHVarS/gQUAACAA\nSURBVHVTdQkJCSNHjrS2tm7QoIGtra2NjY2JiYmtre2wYcNiYmJ0MAAAAEBvVXytq3379lZW\nVt9++21BQYEQ4s8//5w2bZqBgcFHH330+GkLFy4sKSnx8PDQxVIhxo4d2759+3Xr1mk0ms6d\nO/v5+fn5+XXs2FGj0URGRnbr1u3TTz/VzRIAAAA9VPHNExqN5scff/zoo4+cnJzatWsXFxd3\n+/bt8ePHN2/eXAjx4MGDn3766dChQ9u3b//rX//65ptv6mDo8uXLly5d6uvrGxoa6u7u/sSj\niYmJc+bMWb16devWrSdMmKCDPQAAAPrmmb+dNmTIkF27dr355ptnz55t1qzZDz/88OOPP5Y9\n9Mcff0ycOPFf//rX+PHjlyxZopuhERERLVu2jIqKerrqhBBt27aNjIz09PTctm2bbvYAAADo\nm8o+eaLstc6njzs4OKSmpr7xxhu1atWqsWFPSkhIGDBggJHRMwdrNBpPT89ly5bpbBIAAIBe\nqc5nxdaqVUs3L78+zsXFJTY2tqSkxNDQ8FnnHDt2zMXFRZerAAAA9EfFYRcbG/v8P6Jz586v\naExlhg8f/tlnn/n7+8+fP79du3ZPPJqSkjJr1qyDBw8uWLBAB2MAAAD0UMVh90I3umq12lc0\npjLBwcHx8fFhYWHR0dF2dnb29vYWFhYajSYrKys9Pf3KlStCiMDAwJCQEB2MAQAA0EOVvRRr\nZmbm5+dna2urszWVW7FixahRoxYsWLB3794jR46UHTQ0NLS0tBw6dOioUaPKP9YWAADgNVRx\n2H399ddbt25NSUnZtGmTh4fHoEGDAgICHBwcdLutAm5ubhs2bBBCZGdn5+bmGhsbW1pa8skT\nAAAA4llvdzJ37tzk5OT4+PgZM2Y8fPhw4sSJjo6OHTp0mDdv3qVLl3Q8sULm5uZ2dnZWVlZU\nHQAAQJnKqsjFxWXGjBnnz59PTk7+7rvvhBBTpkxxdnZu37797NmzExMTdTUSAAAAVXuuy13O\nzs5Tpkw5derU1atXFy1aVL9+/ZkzZ7q4uLRq1Wrq1Kk1PREAAADP48Vex7S3t58wYUJMTEx6\nevpf//rX5OTkuXPn1tAyAAAAvJAXfoPikydPbt26dcuWLVeuXNFoNC/0xigAAACoOc8Vdlqt\n9sSJE1u2bNm6deu1a9cMDAy6du36+eefBwQE6M+boQAAALzmKgs7rVZ77Nixsp67ceOGgYFB\n9+7dJ02aFBAQYG1trbOJAAAAeB4Vh93hw4e3bt26devWW7duGRoa9ujR45tvvhkwYEDTpk11\nvA8AAADPqeKw6969uxCifv36w4YNGzBgQJMmTYQQSUlJSUlJT5/M5z0AAADog8peis3Nzd2w\nYUPZJz1UQjefFQsAAIDKVRx2M2fO1O0MAAAAvKyKw27GjBk63gEAAICXxAetAgAASIKwAwAA\nkARhBwAAIAnCDgAAQBKEHQAAgCQIOwAAAEkQdgAAAJIg7AAAACRB2AEAAEiCsAMAAJAEYQcA\nACAJwg4AAEAShB0AAIAkCDsAAABJEHYAAACSIOwAAAAkQdgBAABIgrADAACQBGEHAAAgCcIO\nAABAEoQdAACAJAg7AAAASRB2AAAAkiDsAAAAJEHYAQAASIKwAwAAkARhBwAAIAnCDgAAQBKE\nHQAAgCQIOwAAAEkQdgAAAJIg7AAAACRB2AEAAEiCsAMAAJAEYQcAACAJwg4AAEAShB0AAIAk\nCDsAAABJEHYAAACSIOwAAAAkQdgBAABIgrADAACQBGEHAAAgCcIOAABAEoQdAACAJAg7AAAA\nSRB2AAAAkiDsAAAAJEHYAQAASEKGsPvpp59iYmKUXgEAAKAwGcIuKCho/fr1Sq8AAABQmJHS\nA57LjRs3zp07V8kJ165d27VrV9nXffv21ckoAAAA/aKOsNu/f39gYGAlJ0RHR0dHR5d9rdVq\ndbEJAABAz6gj7AICAv7zn/+sWbOmXr1648aNMzMze/zRyZMnd+7cecCAAUrNAwAA0AfqCLv6\n9ev//PPPffv2HTVqVGRk5Lp167p161b+6OTJk93d3b/66isFFwIAAChOTTdPDBo06Ny5c46O\njl5eXl9//XVRUZHSiwAAAPSImsJOCGFra7tv37758+cvWrSoU6dOiYmJSi+CWp0/f3706NGd\nO3du1arVgAEDfvrpp5KSEqVHAQDwUlQWdkIIjUYTEhISGxtbUFDQoUOHH3/8UelFUJ/w8PC3\n337bID5+uoPDT+7u72q10yZO9PHxefjwodLTAACoPvWFXRk3N7fTp09/8sknX3zxhdJboDJn\nzpwJHTMm/c03lx892vf48XcSEsZGR98wMmqfnMz/nQAAqqbWsBNC1KlTZ+nSpfv27fv+++8H\nDhyo9ByoxsqFC2Nq1bKythaXL4tr10R8vMjONpgwYXFGxv2ff75//77SAwEAqCZ13BVbCR8f\nHx8fH6VXQE3a7dtnWreu+Ne/RN26GRkZFy9e7N69u/j6a21Ozg8LFpw5fbrne+8pvREAgOpQ\n8RU7oHp65OSk9ugh6tYVQvz666/BwcFlxw3Gj7fXao0uXFB0HQAA1af6K3blsrOzvb29hRBn\nz559/melpaW1adOmoKCgyjP5QAtpvCFEdGGhuxBCiNLS0vK/s+nFxY2EcDQxUXAbAAAvQ56w\nKykpiYuLe9FnOTo67tmzp7CwsJJzoqKiFi9erNFoXmId9IjG3Dxu//53//jDysrq8eMLZ85c\nLIR9+/ZKDQMA4CXJE3ZmZmb79u170WdpNJru3btXfk5qamp1R0Efmfn7D926tXv37osXLy57\nm+tLly4tWLCgZN260jp1DN96S+mBAABUkzxhZ2xszF0UeB4GX37pHhHx9/r1P+jfv6i4WKPR\nODs7D3VyWmdqavjFF6JOHaUHAgBQTWq9eSInJ+fmzZu3b98uLS1VegvUxtlZbNnSNzX1kYPD\n0XbtVtSrl9et24YrV4wGDxZTpyo9DgCA6lNZ2CUkJIwcOdLa2rpBgwa2trY2NjYmJia2trbD\nhg2LiYlReh3Uo18/kZRk8OmnjUxMWmq1dbp0EQcPivBwYWio9DIAAKpPTS/Fjh07dtmyZVqt\n1traunPnzo0aNRJC3L9//8aNG5GRkZGRkUFBQeHh4UrPhEpYWYlJk/aami5btixxwQKl1wAA\n8AqoJuyWL1++dOlSX1/f0NBQd3f3Jx5NTEycM2fO6tWrW7duPWHCBEUWAgAAKEs1L8VGRES0\nbNkyKirq6aoTQrRt2zYyMtLT03Pbtm263wYAAKAPVBN2CQkJHh4eRkbPvMSo0Wg8PT0TEhJ0\nuQoAAEB/qCbsXFxcYmNjS0pKKjnn2LFjLi4uOpsEAACgV1QTdsOHD09KSvL394+Pj3/60ZSU\nlOHDhx88eLB///663wYAAKAPVHPzRHBwcHx8fFhYWHR0tJ2dnb29vYWFhUajycrKSk9Pv3Ll\nihAiMDAwJCRE6aUAAADKUE3YCSFWrFgxatSoBQsW7N2798iRI2UHDQ0NLS0thw4dOmrUKC8v\nL2UXAgAAKEhNYSeEcHNz27BhgxAiOzs7NzfX2NjY0tLSwEA1LygDAADUHJWFXTlzc3Nzc3Ol\nVwAAAOgRrnUBAABIgrADAACQBGEHAAAgCcIOAABAEoQdAACAJAg7AAAASRB2AAAAkiDsAAAA\nJEHYAQAASIKwAwAAkARhBwAAIAnCDgAAQBKEHQAAgCQIOwAAAEkQdgAAAJIg7AAAACRB2AEA\nAEiCsAMAAJAEYQcAACAJwg4AAEAShB0AAIAkCDsAAABJEHYAAACSIOwAAAAkQdgBAABIgrAD\nAACQBGEHAAAgCcIOAABAEoQdAACAJAg7AAAASRB2AAAAkiDsAAAAJEHYAQAASIKwAwAAkARh\nBwAAIAnCDgAAQBKEHQAAgCQIOwAAAEkQdgAAAJIg7AAAACRB2AEAAEiCsAMAAJAEYQcAACAJ\nwg4AAEAShB0AAIAkCDsAAABJEHYAAACSIOwAAAAkQdgBAABIgrADAACQBGEHAAAgCcIOAABA\nEoQdAACAJAg7AAAASRB2AAAAkiDsAAAAJEHYAQAASIKwAwAAkARhBwAAIAn1hd3du3eTk5OL\ni4uffigzM/PmzZu6nwQAAKAP1BR2cXFxrq6uTZs2bdWqlZ2d3dq1a584YcSIEba2topsAwAA\nUJyR0gOeV2pqapcuXQoLC3v27GliYnLgwIHAwMA///wzODhY6WkAAAB6QTVX7KZOnVpQUBAV\nFbV3795du3Zdv37dyclp4sSJycnJSk8DAADQC6oJu9jY2F69evXp06fs2yZNmuzatUuj0Uya\nNEnZYQAAAHpCNWGXmZlpZ2f3+BFnZ+eQkJCdO3cePnxYqVUAAAD6QzVh5+rqevTo0ScOfvXV\nV3Z2dmPGjCksLFRkFQAAgP5QTdh5enpeuHBh7NixBQUF5QdNTU3DwsISExNHjhyZn5+v4DwA\nAADFqSbspk+f7unpuXTp0iZNmvj7+5cf9/PzmzZt2saNG52cnE6fPq3gQgAAAGWpJuxq1669\nY8eOyZMnv/HGG2lpaY8/NHv27DVr1tSrVy8jI0OpeQAAAIpTTdgJIczNzUNDQy9evJiYmPjE\nQyNHjrx48eKVK1f27dunyDYAAADFqeYNiquk0WgcHBwcHByUHgIAAKAMNV2xAwAAQCXkuWKX\nnZ3t7e0thDh79uzzPysjI2P8+PHFxcWVnPPEr/QBAADoJ3nCrqSkJC4u7kWfVatWLUdHx5KS\nkkrOycnJeYldAAAAOiJP2JmZmVXjzgkzM7O5c+dWfs7KlSt3795d3V0AAAA6Ik/YGRsb+/j4\nKL0CAABAMWoNu5ycnNzcXAMDg6ZNmxoYcAsIAACA2u6KTUhIGDlypLW1dYMGDWxtbW1sbExM\nTGxtbYcNGxYTE6P0OgAAACWp6Yrd2LFjly1bptVqra2tO3fu3KhRIyHE/fv3b9y4ERkZGRkZ\nGRQUFB4ervRMAAAAZagm7JYvX7506VJfX9/Q0FB3d/cnHk1MTJwzZ87q1atbt249YcIERRYC\nAAAoSzUvxUZERLRs2TIqKurpqhNCtG3bNjIy0tPTc9u2bbrfBgAAoA9UE3YJCQkeHh5GRs+8\nxKjRaDw9PRMSEnS5CgAAQH+oJuxcXFxiY2MrfyfhY8eOubi46GwSAACAXlFN2A0fPjwpKcnf\n3z8+Pv7pR1NSUoYPH37w4MH+/fvrfhsAAIA+UM3NE8HBwfHx8WFhYdHR0XZ2dvb29hYWFhqN\nJisrKz09/cqVK0KIwMDAkJAQpZcCAAAoQzVhJ4RYsWLFqFGjFixYsHfv3iNHjpQdNDQ0tLS0\nHDp06KhRo7y8vJRdCAAAoCA1hZ0Qws3NbcOGDUKI7Ozs3NxcY2NjS0tLPnkCAABAqC7sypmb\nm5ubmyu9AgAAQI9wrQsAAEAShB0AAIAkCDsAAABJEHYAAACSIOwAAAAkQdgBAABIgrADAACQ\nhFrfx06lSkpKyj79zNHR0dDQUOk5AABAKlyx05GsrKxRQUHvmZoubNFiYYsW75majgoKysrK\nUnoXAACQB1fsdOH+/fvBb789//btZkVFJY6OQgjDa9eur18/ev/+sDNnGjZsqPRAAAAgA67Y\n6ULYuHE/Xb9uM3iw5s4do7Q0o7Q0zZ07NoMH/7/r15ePHav0OgAAIAnCrsaVlpa6bdmS3a6d\n8bp1onHj/x5t3Nh43bpsFxf3LVtKS0sVHQgAACRB2NW4e7dv+xQWlgYHC41GCLF+/fr169cL\nIYRGUzJmjE9hYebt2wpPBAAAUiDsapxJTk4tIf60sir7dv/+/fv37y/7+k9r61pC1MrNVW4d\nAACQB2FX4xo0a6YVIu5/Yu5x5w8c0ArRwM5O96sAAIB8CLuaZ2p6x9Y2Ozz80qVLjx9OSUnJ\nCg+/Y2srTE2VmgYAAGTC253oQpPFiz8dPPhTN7em48Zdv35dCDFlypS7S5asKigQixcrvQ4A\nAEiCsNMFw4AA7YIFq7/8MmnZMtu8PCGE98mTrfLzNQsXagIClF6HV6a0tPTkyZPx8fEajaZd\nu3YdOnQwMOCiOABAdwg7HdFMnKjp27fNhg2P1q0TQrT5+GMxbJho1UrpXXhlTpw48fHHH1+6\ndMnR0VGr1V69erVVq1br1q17++23lZ4GAHhdEHY61KqVmD17aXq6EOLn2bOVXoNX6cKFCz17\n9hwcEHBsyZKGN2+K2rXvv/HG+PBwHx+fEydOODs7Kz0QAPBaIOyAV2DKlCljXFzmx8SIdeuE\ng4PIz7e4ffsXD4//4+LyzTffbNmyRemBAIDXAr8ABLysgoKCjOjo706fFj17irt3RVqauHVL\npKUJC4vlFy6cjooqKSlReiMA4LVA2AEvKyMjY15R0aNevcSKFaJx42+++WbWrFnC0VH89puw\nsZmUn3/v3j2lNwIAXguEHfCyGhQXewpx/X9ucE5PT09PTxdCCGPj9Pff/0CI+vXrK7kPAPDa\nIOyAl1U/J0cjxJa4uKcfir582UqIOkb8MisAQBcIO+ClmZkJITauWLFt27bHD2/atOngtm2l\ntWoJY2OFlgEAXi9cSABemr29sLNb0a5dzw8/9PDwyMrK0mg0Xbt2PXnyZNxbbxk2bKj0PgDA\n64IrdsBL02jE5Mk9Dh26FB7u5eWVk5Pz8OHDd99999qsWW3PnhWTJyu9DwDwuuCKHfAqjBkj\nUlMdP/10bs+enc3Na2k0vvv3i9OnxT/+Iby9lR4HAHhdcMUOeBU0GrFokTh8WLRp8+a9e9YP\nHghvbxEfL0aPVnoZAOA1whU74NXp0kV06bIgM9PExGT1d98pvQYA8Nrhih0AAIAkCDsAAABJ\nEHYAAACSIOwAAAAkQdgBAABIgrADAACQBGEHAAAgCcIOAABAEoQdAACAJAg7AAAASRB2AAAA\nkiDsAAAAJEHYAQAASIKwAwAAkARhBwAAIAnCDgAAQBKEHQAAgCQIOwAAAEkQdgAAAJIg7AAA\nACRB2AEAAEiCsAMAAJAEYQcAACAJwg4AAEAShB0AAIAkCDsAAABJGCk9AIBeyMjICA8PP336\n9K1bt1q0aOHj4zNs2DBjY2OldwGqodVqr127lpeX5+TkZGJiovQcvKa4Yvc6Kigo2L59+9y5\nc6dOnbpx48asrCylF0FhR48ebdu27dq1a21tbfv375+Xl/fZZ5+5urqmpKQoPQ1Qgfz8/MmT\nJzds2NDR0bFt27b16tUbMGDAtWvXlN6F15Fawy4nJ+fmzZu3b98uLS1VeovKxMTEtGjRYsSI\nEf/+979jY2PHjRvn4OCwYcMGpXehpmi12uLi4kpOuH//fv/+/QMCAhITEz/++OPNmzf/+uuv\nBgYGSUlJLVu2HDRo0J07d3S2FlCdwsJCPz+/DRs2LFmy5MqVKxkZGVFRUdnZ2R07drx8+bLS\n66qjuLj44sWLu3fvTk1N5V+yqqOysEtISBg5cqS1tXWDBg1sbW1tbGxMTExsbW2HDRsWExOj\n9DoVSElJ6dOnj5+f361btw4fPrx3795bt25Nnz595MiR//73v5Veh1dJq9WuWbOma9euZmZm\npqamrq6uc+bMyc/Pf/rM1atXN2jQ4B//+Ed8fHyPHj3atm2bnJyck5Nz9uxZIURSUpK3t3dO\nTo7O/wT4X86fPz958uR+/fr169dvypQp8fHxSi/Cf4WFhcXHxx89evTjjz92cHBo3Lhxr169\n9u7d6+rqOnbsWKXXvRitVvv3v//dysqqTZs2/fv3d3Jy4r/8VUdNYTd27Nj27duvW7dOo9F0\n7tzZz8/Pz8+vY8eOGo0mMjKyW7dun376qdIb9d2cOXM6deq0YsWKevXqlR0xMjKaOHHiZ599\n9tVXXym77YUUFRUdOXJk5cqVP//88+nTp7VardKL9EJ+fv6qVauGDx/epUsXR0fH0aNHe3h4\nbNy4MTo6+i9/+cuqVas8PT2fTrSYmJi+ffsaGxuPHz/e19c3ODjY2dlZCOHq6urk5PTpp58W\nFBR8//33SvyB8F/z5s176623jh492qZNm9atWx85csTd3X3BggVK73qmCxcubNq0afXq1ceP\nHy8qKlJ6Ts365ZdfgoODbW1tHz9oZGT07bff7tmz5+7du0oNq4ZJkybNmDFj9uzZd+7cyc/P\nv379elBQUGBg4PLly5We9lLy8/N37do1f/78+fPn79q1q8L/xJWHViWWLVsmhPD19T1z5szT\njyYkJAwZMkQIsWjRolf+lw4LCxNC5ObmvpKfFhgYGBgY+PI/Z/fu3SYmJlqt9sCBAxqN5jmf\n1ahRo4iIiLKvS0pKCgsLy74+f/68EOLmzZsvP0wHDh486ODgYGRk5Ozs7OjoqNFo3N3dExIS\nqvGjli1b1qZNm1c7b8SIEZ988smr/ZnP48aNGy4uLk2aNAkKCho0aJCxsbGNjY2tre25c+fK\nTsjIyHB2dh4zZswTT3z33XenT59+69YtjUazcuXK2rVrlz/UoUOH77///ocffmjVqpXu/iT4\n37Zs2WJiYrJt27bHD27dutXY2PiJg/ogLS2te/fuQggrK6vmzZsbGBjY29vv2bNH6V01yMzM\nbPv27Vqt9ty5c59//rmXl1dYWNj58+cLCgo0Gs2RI0eUHvi8zp49a2BgsG/fvieOr1q1qm7d\nun/88Yciq17evn37bGxsTE1NO3Xq1KlTJ1NTUxsbm6f/mC+koKBACBETE/OqRr5CqrliFxER\n0bJly6ioKHd396cfbdu2bWRkpKen57Zt23S/TS1KSkru3btnZ2dX9u28efNGjBhR9nWzZs2E\nEKr4VaoTJ0706dPH398/IyMjOTk5LS3txo0bDg4O3t7e6enpSq9TjFarHTx4cMOGDZOTk8PD\nw9PT0ydMmJCamvrOO++8//77eXl5QojGjRuHhoauXbv20aNHjz/Xzs4uJSXl2rVrWq3W1ta2\npKRECDFx4sTIyMjU1NRmzZq1bt366tWrivy5IISYO3fu+PHjBwwY8PjBgQMHjhs3bu7cuUqt\nqtC9e/d69OhhbGx86dKl27dvX758+d69ewMHDuzXr9/hw4eVXldNN2/e3Lp168KFCzdv3lzh\nPwgmJia5ubkfffSRm5tbRETE+fPn//73v7u6uv7lL3/RarUqurV88+bNXbt29fHxeeJ4UFBQ\nw4YNd+7cqciql3TmzJl+/foNGTLkzp07sbGxsbGxd+7cGTJkiL+/f9lvm8hHNWGXkJDg4eFh\nZPTM92fRaDSenp4JCQm6XKUuhoaG5ubmf/zxR9m3OTk55a/K3b59WwjRuHFjxcY9t5CQkIED\nBy5ZssTc3LzsiI2NzebNm5s3bz579mxltyno0KFDJ0+ejIiIaNiwoRDi/PnzXl5etWvX/umn\nn3Jzc8tfZ/fy8srLy3viF7oDAgJ+++23zMxMIURZAgohzpw5s2HDhqKiovfeey83N7du3bq6\n/QPhv3Jzc+Pi4gYOHFj27e3bt8v+aRVCBAQEnDlzpvxvmT6YP39+vXr1oqKinJycyo6Ym5sv\nWrRo5MiR48ePV3ZbNRQXF0+YMMHBwWH06NG//vrruHHjmjdv/re//e2J/zRyc3ObNm3aqVOn\nTp8+PX78+DZt2iQlJZ04ceLQoUMGBgatW7dWav+LSktLc3FxKfv6zp07vXv3LnsZXaPRtG3b\nNi0tTdF11TR16tR+/fr98MMPpqamZUdMTU1/+OEHPz+/b775RtltNUQ1Yefi4hIbG1t2LeFZ\njh07Vv5/SlSoZ8+ev/zyy9PH169f37Jly/KLeXrr3r17R44cefr3kY2MjIKDg7dv367IKn0Q\nExPz9ttvl/0d1Gq1xcXFhoaGQghTU1Nra+t//vOfZaeVHXzinyN/f38fH5/PPvusXr16x48f\nF0Lk5eXduHEjOjp63rx55ubmu3bt8vDw0PUfCUIIIXJzc4UQFhYWZd9OnTp1+vTpZV9bWFho\ntdpXcl/LnTt3FixY8NFHH/Xu3fuLL77Yt2/fs84sLS3duXPn119/PWLEiBkzZpS9nlX+6G+/\n/TZ69OjatWs/8azPP//87Nmz169ff/mpujRu3LiIiIjt27dnZmYeP378jz/+OHDgwO7duwMD\nAx8/zdvb+8qVKzNmzHj8BSV7e/s6depotdrExERd766u2rVrl/93wq3/3959xkV1tH8Dn12W\npiygdOkg0rGgiFSDYEEUsSORWIGIJgox8TYgKootNizoRzGaqEQRG5ogKpKIihELzUIRENCg\nFBFFBGGfF+d/n2dvWujLnv19X+3OzjlcZxzh2jkzc16+vHLlCv22urpaWlpacKF10KdPn65d\nu+bj40O9pe5UUq99fHyuXbtWW1sruOi6i9Akdl5eXk+fPp00aVKza8GysrK8vLxu3Ljh7u7e\n87EJkeDg4KtXr/7444/0dGYej3fs2LGtW7du2LBBsLG1xatXr3g8Hj0Y4O/vv3PnTuq1vr7+\nmzdvGPm/tC2qqqroIczq6uq6ujr6vomUlBS93cm9e/ckJCT09PT4j2WxWKdPn3Z1da2urt6x\nY8fnz59lZWULCgpcXV39/f1Pnz59/PjxwMDAnrwcoCkqKkpKStKDrPX19XRenpOTIyUl1fmB\n9ri4OCMjoyNHjsjLyw8bNiw7O3vChAleXl5NFz28evXKxsZm1qxZKSkpEhISN2/edHV1HT9+\nfGVlJVWhqKjIwMCAen3s2LH58+dTr6lC4Zos8fjx44MHD0ZHR7u6utKFjo6Oly5dOnv2bFJS\nEl344cMHdXX1RYsWLVmyJD09vaysLDQ0dPDgwUpKSlZWVgLfcCA/Pz8mJubAgQM3btz48OFD\nKzWtrKwSEhKa/hYtLS1NSUkZMWJEd4bZLcrKyurq6rS1tam3gYGB9K8yHR2duro66k4FwwhN\nYrdkyRI/P78//vjDwsJCS0vL3t7e3d19ypQpjo6Oenp6hoaGJ0+enDdvqQ+2TwAAIABJREFU\n3nfffSfoSHs1CwsL6n+4jo7OuXPnHj16ZGho6Ovru2PHjunTpws6un8nKytLCCkrK6PeFhYW\nFhcXU6/LysqkpaVFdrd3LS0tejNh6g//iRMnioqKCCHl5eXUCEpNTU1QUJCHhwfVjPz69OkT\nERHx4sULU1NTHo83duxYTU3N6upqV1dXLy+vrVu3Ojk59ewFwf+RkJBwdXXdvXs373+Xfjc0\nNISHh0+cOLGVCSpt8fz582nTpn399dePHz8+cOBAWFjYpUuX7t+/f/369aCgoEY/0d3dnc1m\n5+bmxsfHR0ZGJiQkPHnypKioyMvLi6rD5XLpDc8LCgrom3fl5eXkv/9/hcXly5fNzMyohSD8\nzM3N7e3tL126RJe8fv36iy++OH36dG5u7qVLl54+fXr+/Plvv/325s2burq6Apy7XFFRMWvW\nLD09PR8fn/Dw8HHjxmlqah4+fLil+nPmzPn06VNgYCD/3nU1NTWLFi3S19d3dnbukai7kry8\nPJvNphcmV1RU0P2zpKSEzWZTc1cYRmgSO0JIRETEw4cPPT09P378mJSUdPHixQsXLty6daum\npsbT0zMxMfHnn39msViCDrO3c3V1zc3NDQ0NlZWV5XA433zzTXZ29tKlSwUdV5toaWnp6uqe\nOXOm6UcxMTH29vY9H1Iv4ebmVlxcHBMTQ5fo6+tbW1sHBQXl5+fLycnFxMTY2tqWlJTs2LGj\npZOoq6tv376dmov5+vXrZ8+eaWlpJScnBwQE9MhFQPPCwsKSk5O9vb3pFOGff/6ZO3fu33//\nHRYW1smT79ixY8iQIWFhYWz2//9zYGFhsXfv3vDwcOpGMOXixYuPHz8+e/asmpoaXaivrx8T\nExMXF0fdxLe3t+fvhLRz584pKCgI0WwzQsjLly91dXWp1+/fv1dRUXn58iX1Vk9Pj/5KSQhR\nUFD4559/3N3dr1y54uvrSwg5d+7cDz/8ICkp+erVKwUFhZ4PnhDy+fPniRMnZmZmJicnl5WV\nPX78uKqqKiQkZMmSJZGRkc0eIi8vf+bMmePHj48cOZKqs3nzZgsLi/v37585c6aTXyEEok+f\nPtbW1s3uw3fy5Elra2thvL/87wSwErcrVFRUvHjx4tWrV/X19d39s5i03Qm/H374YcKECZ2P\npIcdPnxYWlo6Li6Ox+NNmjQpMDCQx+MdPHiQw+EkJia292xM2u5k3bp1MjIyhw8fpr6eJiUl\nzZw5k/5rzeVy582bV1JS0vpJ4uPjxcXFeTze6NGjQ0JCeiJuaIOUlBRTU1MWiyUjIyMjI8Ni\nsczMzKgdHDvJwsKC3iWqurr62bNn1OtPnz6Ji4vzbwmxdOnSyZMn02/5d0caMWLExo0beTze\n3bt3ORzOnj17eDzeunXrHBwceDzenTt35OXlt2zZ0vloe9LatWvt7Oyo11RKnZmZSb2dPHny\n0qVL6Zrx8fGSkpL5+fk8Ho/6FkStMc/NzRUXF09ISOjx2Hk8Hu/nn3+Wl5enpq/w2717t7y8\n/IcPH1o68MWLFwEBAYMHDyaE2Nvbr1mzpqysrJuD7Ubx8fEcDiciIqKhoYH6+9vQ0LB//34O\nh9OZXXh683YnwpeAU+Tl5ekZRSBSFi5cmJeX5+rqamdnV1xcXFRUZGlpmZmZGRER4ejoKOjo\nBCk4OLhv374BAQF+fn6EECcnJxaLFRAQUFtb++DBg7/++gvj2cLL0tIyLS3twYMHy5cvZ7FY\nu3btGjp0KP8YW4dVVlbSQ0onT57cuXMntbeAhIQEl8ulJ88RQsrLy1VVVanXOTk5hoaGFRUV\n1N1VNTU1aoKElZXVkSNHfHx8jh49KiEhUVxcPHHixCtXrixevFjo5sk4Ojpu3LixoKCAnqFF\nKS0tvXHjxpEjR+gSZ2dna2trDw8PepUSISQvL8/Dw8PBweGLL77ouaD5nD9/ftasWfQ/Gc3H\nx+c///nPn3/+OWHChGYP1NTU3L59+8OHD4cNGxYbGysnJ9f9wXYjFxeXgwcP+vv779q1i5pt\nbGxsXFBQcPDgQRcXF0FH1y2E6VYsAGXDhg0pKSk2Njbv379///79pEmTMjMzFy1aJOi4BIzF\nYgUGBhYVFVHLJnbv3l1cXLxt2zYulystLY2sTtix2ezhw4cPHDjQwMDA0tKyS7I6QoiGhkZu\nbi71+vPnz/Q6m7KysoqKCv6nKaioqNDLWmtqahoaGuhZ9gUFBSoqKtTruXPnZmZmurq6VlRU\nVFVVGRgYJCQkREREdFXAPcbR0XHUqFEzZsygt4gihJSXl8+aNUtXV3fKlCl0IYvFiomJkZWV\nNTQ0jI6OJoTMmjXLyMhIUVHx9OnTAgidEPK/C1lu375tY2NDvZaSktLQ0BCuhSydtGDBguzs\nbF9fXzabzWazfX19s7OzFyxYIOi4uouwjtg19fbtW+qLUbu2HKytrY2KiqLGVFsivPtqMtjQ\noUOHDh2amZk5aNCgtWvXCjqcXoTL5VK/wa2srAQ1uQeEiLu7e3h4+HfffddoZcOePXsGDBhg\naWlJl7i6uu7bty8nJ4delk65e/duWloa/z5Kenp669ev53A4169f37VrV3dfQjdhsVjR0dGT\nJ082MDCgllAEBATcvXtXU1MzNja20YQzBQWFGzduXL16de3atYWFhdbW1uvXr3d2dhbgFypZ\nWVl6ocCrV6/oxVU8Ho8eahUdGhoaK1asoJ6xtGLFCkGH072Yk9jV19c/evSovUeVlJRs3ry5\n9T0yqPXh1AZgnWdhYdEl59HS0qLuPGpqao4ePboDZzA1Ne2qixKUoUOH6ujodOYMgwYNGjly\nZBeF838sLCwEu9e8tLS0ra0tfQvGxMSEHob5V3S/GjZsmImJSXeFCB1lYWHRtUNf/v7+P//8\n8/jx4yMjIw0MDKytrT9+/Lh79+6NGzdGRUXx/4pwdnZ2cnJyc3M7deqUmpqajY2NjIxMUlLS\n7Nmzv/rqK3Nz80ZnNjExefv2bReG2vOUlZWTkpLOnTuXmJjYr1+/AQMG7NmzZ+bMmc2uvmex\nWGPHji0pKcnPz1+/fj2Xy+35gPlRC1nWrVsnJiamq6trZ2dHld+8ebO0tJR+2xJVVVVbW1uG\n7UzeVX9/ezkWjylPT6+rq/vrr78IIU0fh9JJt2/ftrW1/fTpk8hupQEADPby5cv58+fHx8er\nqan169cvJydHVlY2PDzc09OzUc13794tWLDg7NmzgwYN0tbWzsnJycvLW7Bgwb59+yQlJQUS\nPLSkpKTEyMjIy8tr165d9Pji8+fPx44da2dnd/ToUYFGJ/Rqa2slJSVv3bpF3+PuPZiT2HUf\nJHYAwHhPnjxJTU0tKyszNja2trZuZagmNTU1OTm5sLBQR0fH3t7e0NCwJ+OEtrt58+bUqVPl\n5eXHjBmjqqqamZl5+fJlBweHs2fPMmworuchset67969q6qqYrPZKioq3T0nF4kdAAAIo9LS\n0qNHj6akpLx+/drQ0HDcuHHu7u5YStV5vTmxE7I5dhkZGdu2bYuPj6eXKYmJiamqqjo4OPj7\n+9va2go2PAAAgN5DUVFR6DaagU4SpsRu2bJl+/bt4/F4ampqI0eOpFb8lZeXFxUVRUVFRUVF\nLVq06NChQ4IOEwAAAEAwhCax279//969e8eNG7dp06ahQ4c2+jQzMzM0NPTw4cPGxsZ4/BEA\nAACIJqGZY2dra1tWVpaRkdHS4+p4PJ6jo2NDQ0NSUlLX/mjMsQMAAABab55jJzRbgWdkZFhb\nW7fyEGIWi2Vvb089DAcAAABABAlNYmdmZnb37t36+vpW6ty5c8fMzKzHQgIAAADoVYQmsfPy\n8nr69OmkSZPS09ObfpqVleXl5XXjxg13d/eejw0AAACgNxCaxRNLlixJT08/cODAH3/8oamp\nqa2t3b9/fxaLVVFRUVhYmJeXRwiZN28e1nUDAACAyBKaxI4QEhER4evru3Xr1qtXr9IrJMTE\nxJSVlT09PX19falnXAIAAACIJmFK7AghQ4YMOXnyJCHk7du3VVVV4uLiysrK3f3kCQAAAACh\nIGSJHU1eXl5eXl7QUQAAAAD0IhjrAgAAAGAIJHYAAAAADIHEDgAAAIAhkNgBAAAAMAQSOwAA\nAACGQGIHAAAAwBDCut1JT5KQkCCESEpKCjoQAAAA6C2o9KC3YfF4PEHHIARSU1M/f/7cJacK\nCgqqrq5evHhxl5xNFOzZs0dOTs7b21vQgQiN7du3q6urz549W9CBCI2wsDBjY2MPDw9BByI0\nQkJCrKysJk6cKOhAhMaqVavGjBnj4uIi6ECERkBAgJ+fX29+/juHwxk8eLCgo2gGRuzapAv/\n8VRVVQkhX375ZVedkPEuXryorKyMFmu73377zcTEBC3WdpGRkebm5mixtgsPDx82bBharO02\nb95sZWWFFmu74OBgPT09S0tLQQcifDDHDgAAAIAhkNgBAAAAMAQSOwAAAACGQGIHAAAAwBBI\n7AAAAAAYAokdAAAAAEMgsQMAAABgCCR2AAAAAAyBxA4AAACAIfDkiZ7WOx8t15tJSEig0doF\nLdZeaLH2Qou1F1qsvdBiHYZnxfa0iooKQki/fv0EHYjQKCsr43A4cnJygg5EaLx580ZKSorL\n5Qo6EKFRUlIiIyPTt29fQQciNF6+fNmvXz9paWlBByI0ioqKlJSUJCUlBR2I0CgsLFRVVRUX\nFxd0IMIHiR0AAAAAQ2COHQAAAABDILEDAAAAYAgkdgAAAAAMgcQOAAAAgCGQ2AEAAAAwBBI7\nAAAAAIZAYgcAAADAEEjsAAAAABgCiR0AAAAAQyCxAwAAAGAIJHYAAAAADIHEDgAAAIAhkNgB\nAAAAMAQSOwAAAACGQGIHIKxycnL27t0r6CiECVoMABgPiV3Xi4iIsLOzk5eXt7Ozi4iI6KZD\nmKS9l6+pqclqIjg4uAdC7VX27NnT9qsW8T5GaXuLiXgf+/Tp048//ujg4CAnJ6evrz9nzpzc\n3Nx/PUqU+1gHWkzE+1heXt6cOXMMDAz69u1rbm7+/fffV1ZW/utRotzH2oEHXcrPz48QYmho\n6O3tPWjQIELI0qVLu/wQJmnv5VdXV7NYrAEDBoz+X5GRkT0Wc28QHx8vKSkpLy/flsoi3sco\nbW8xEe9jb9++tbe3J4SYmJgsWrRo7NixLBZLWlr64cOHrRwlyn2sAy0m4n0sOzu7b9++HA7H\nycnJz89v5MiRhBBTU9OPHz+2cpQo97F2QWLXlR4+fEgIGT9+fF1dHY/Hq6uro/6Hp6end+Eh\nTNKBy09LSyOEhIaG9mCYvYuXl5ehoSH1xawtaYqI9zFe+1tMxPvYf/7zH0KIv78/XXL58mU2\nmz148OCWDhHxPtaBFhPxPjZt2jQWi3Xx4kW6ZMWKFYSQPXv2tHSIiPexdkFi15U8PT0JIamp\nqXTJ/fv3CSHe3t5deAiTdODyz5w5QwiJjo7ukQB7Iw8PDzc3Nzc3Ny6X25Y0RcT7GK/9LSbi\nfczIyIjL5dbU1PAXOjs7E0JKSkqaPUTE+1gHWkzE+5iKioqlpSV/CZXpzp8/v6VDRLyPtQun\nS+/rirqrV69qaGhYWFjQJcOGDVNTU4uPj+/CQ5ikA5efnZ1NCNHW1j5x4kR2draGhoaNjY2J\niUlPhNs7nD17lnphbm5eVFT0r/VFvI+R9reYiPcxNpvt6OgoKSnJXyghIUEIqaioUFZWbnqI\niPexDrSYKPexhoaG4OBgbW1t/sKSkhJCyMCBA1s6SsT7WPsIOrNkjoqKCkKIra1to3Jq9sC7\nd++65BAm6djlL1iwgBCipKRE92E2m71s2TJqfF6kmJmZ/ev4k4j3sUba0mI89LEmXr9+LSUl\npaKi0mwLoI811XqL8dDH/qu6urq4uPj33383MDBQUVHJyspqthr6WLtgVWyXqaqqIoQoKCg0\nKqdK3r171yWHMEnHLj8rK4sQMmbMmLS0tKqqqqSkJEtLyz179uzYsaOb4xVKIt7HOgZ9jF9W\nVpaNjU1NTc3mzZs5nGZu8qCPNfKvLUbQx/4rICBAXV3d1dX15cuXVHrXbDX0sXZBYtdlxMXF\nCSEsFqvZT9nsZpq6A4cwSccuPywsLCEhISoqytzcXEZGxtbW9vfff+/Xr19oaGhDQ0M3hiuc\nRLyPdQz6GOXDhw8hISFDhgwpKirau3fvvHnzmq2GPkZrY4sR9LH/8vPzO3Xq1MaNGxUUFGxs\nbC5cuNBsNfSx9hH0kCFz1NfXi4mJOTg4NCq3trYWExOrr6/vkkOYpAsvf/r06YSQlobxmaot\nNxZFvI810sZbsc0StT72+++/a2lpEULc3NyePn3aSk30MUrbW6wlotbH+BUXF3O5XHV19WY/\nRR9rF+S5XYbNZisrKzedml1cXKyqqtrsV4oOHMIkXXj51IB8XV1dV8bHCCLex7qQSPWxkJAQ\nV1dXLpf7559/xsbG0pvFNAt9jLSzxVoiIn0sNzf34MGDGRkZ/IUDBgwYPnx4cXExNZ2uEfSx\ndkFzdKXRo0c/f/6cmjxByczMLCwsdHBw6MJDmKS9l//48WNjY+PVq1c3Kk9NTZWUlKS2rIRG\nRLyPtRf62LFjx9avXz979uwHDx60sZOIeB9rb4uJeB8rKSnx8/M7dOhQo/I3b97IyMjIyck1\ne5SI97H2EfSQIaMkJiYSQr788kvqbUNDw6xZswghN2/epEpqa2tLS0srKirafgiztbfF6uvr\nNTU1paWl//77b/okkZGRhBAfH58eDl7gmr2xiD7Wira0mIj3sYaGBkNDQ3V19VaeAYA+xq8D\nLSbifay2tlZZWVlOTi43N5cu/O233wgh7u7udB30sQ5DYtfFqNmyTk5Oq1evpr5JLFy4kP70\n2rVrhJAhQ4a0/RDGa2+LJSYm9u/fX1xc3MPD4+uvv7a1tSWEGBsb8/8KEBHNpinoY61oY4uJ\nch/Ly8sjhCgpKY1vzps3b3joY/+rYy0myn2Mx+OdOnWKxWL16dNn+vTpS5Ys+eKLLwghKioq\nRUVFVAX0sc5AYtfFGhoatmzZYmNjIysra2Njs23bNv5Pm+2srR/CeB1osYKCgvnz55uZmcnI\nyAwfPjw4OLj1JwwyVdsTOxHvY7S2t5jI9rHr16+3coeH+ruLPsavwy0msn2MkpCQMH78eAUF\nhT59+gwePDggIKC8vJz+FH2sM1g8Hq+VTgkAAAAAwgKLJwAAAAAYAokdAAAAAEMgsQMAAABg\nCCR2AAAAAAyBxA4AAACAIZDYAQAAADAEEjsAAAAAhkBiBwAAAMAQSOwAAAAAGAKJHQAAAABD\nILEDAAAAYAgkdgAAAAAMgcQOAAAAgCGQ2AEAAAAwBBI7AAAAAIZAYgcAAADAEEjsAAAAABgC\niR0AAAAAQyCxAwAAAGAIJHYAAAAADIHEDgAAAIAhkNgBAAAAMAQSOwAAAACGQGIHAAAAwBBI\n7AAAAAAYAokdAAAAAEMgsQMAAABgCCR2AAAAAAyBxA4AAACAIZDYAQAAADAEEjsAAAAAhkBi\nBwDQWGRkZEVFhaCjAABoNyR2ACBgSkpKLi4unT+Pr6/vypUrqdfr1q1jsVgsFuvmzZvNVl69\nejVV4e7du/zlPB4vLS1t0aJFf/zxR01NDf9H9+/fZ7Vs2bJlnb+EplxcXOgf0eij1NTU+fPn\n6+rqSktL9+/f38rKasOGDdXV1fx1Vq5cSR+emZlJCKmsrFRRUXn06FF3RAsAAscRdAAAAF0g\nKSnp1KlTubm5jcrPnDljb2/ftH5MTEzTwtOnTy9fvvzVq1eEEC8vLykpqTVr1qxatYo/qdLW\n1m72hCNGjOjUBbRMSkpqw4YN/CUNDQ3btm1bs2ZNbW2tmpqak5NTWVlZWlravXv3fv311+PH\nj9PBuLm5qaqqXrt2LS4ujiqRk5MLDAxcvHhxcnKymJhYN8UMAALDAwAQKEVFRWdn506eZMSI\nEStXrqTfrl27lhDC5XLV1dUbGhoaVU5PTyeEyMrKEkKSk5OpwsuXLxNCnJ2dExMTCSExMTEL\nFy4khOzfv5+qkJKSQgiZPXt2J0NtF2dnZ3l5+UaFAQEBhBB9ff27d+/ShXV1daGhoWJiYuLi\n4pmZmfz1qbwwIyODevvhwwcul/vLL790d/AA0PNwKxYAhN7t27fv3bvn7e3dqHzSpEnFxcV3\n7txpVB4TE8NisVxdXfkLt2zZoqGhERsb6+joSAgxNDQ8dOjQkCFDdu7c2bGoPnz40LEDW5eR\nkREeHq6np/fw4UMrKyu6nMPhBAUFRUVF1dXVtX5fuE+fPjNmzAgPD++O8ABAsJDYAUC3e/Hi\nhbe3t4mJibS0tJaW1vTp01NTU5vWmTVrloaGhqam5tSpU588ecL/6a+//jpq1Kh+/fopKio6\nOjpeuXKF/9OIiAhzc3MzM7NG55wyZYqYmFh0dHSj8piYGGtraw0NDf7CrKwsc3NzKSkpuoTF\nYq1YscLe3p7H47XlMufPn6+mpvb58+dly5Zxudzjx48TQurr68PCwkaNGsXlcnV1dZctW0bd\n6qUVFBR4eXnp6uqqqqq6u7vfunXr66+/1tTUbOmnfP/9958/f962bRuXy2366YwZMxwdHRMS\nEuLj41sJdc6cOSkpKffu3WvLdQGAEEFiBwDd6/Hjx6ampqdPnzYxMVm8ePHgwYMvXLjg5OT0\n8uVLuk5RUZGdnV1KSoqzs7Oent758+etrKySkpKoT8PCwry9vQsKCiZMmGBlZZWSkuLq6vrX\nX39Rn/J4vLi4OGqYrRFlZeXRo0fHxMTwZ2bZ2dnp6enTp09vVFlbW/vRo0eNhtm8vb0jIyOb\nLlxoxdKlS0+dOjVp0iRzc/Pa2lonJ6cff/zx8+fPc+bM0dHR2bt3r7W19YsXL6jKqampw4cP\nj4qK0tHRGTduXFpamoODQ2xsbEsn//jx4/Xr1xUVFadOndpSHV9fX0LI33//3UqQNjY2HA6H\nnngHAMwh4FvBAMB01G3By5cv0yX79u0jhNBzvBQVFQkhbm5uNTU1VMnJkycJISNGjKArGBoa\n0p+ePXuWELJgwQLq7YMHDwghv/76K/8PpebYJSYmRkREEL6JdDweLywsjBCSl5f33Xff8X+0\nY8cO6odSw4H0jDQaNcdOV1d3XhNHjhzh8Xjz5s0TExMzNzcvLS2lDtm1axchJDQ0lD7JsWPH\nCCHTpk2j3o4ZM4bFYp09e5Z6W11dPXbsWEKIhoYGVdJojl1GRgYhxM7OrpUGpxpkzpw5dEmj\nOXYUS0tLR0fHVs4DAMIIq2IBoHtNnz595MiR48ePp0t0dXUJIeXl5XSJmJjY7t27JSUlqbee\nnp4nTpy4fPlyWlqasbHx27dvuVwum/1/dximTJmSkZHRt29f6i21EmLQoEHN/nQPDw9/f//o\n6OiRI0dSJTExMZaWljo6Oo1qrlixIj8/f+/evePGjaPCnjZt2qJFixrVzMvLy8vLa3Qsh8OZ\nP38+IaS+vj4oKEhBQYEq37Fjx8CBA1evXk3X9Pb2PnDgQGxsbHV1dV5e3vXr12fMmOHh4UF9\nKi0tvWvXLlNT05Ya8+3bt4QQLS2tlioQQrS1tQkhOTk5rdQhhBgaGmLEDoB5cCsWALqXg4OD\nl5dXXV1denp6bGzs1q1bly9f3qiOrq6unp4efwmVCGZnZ4uLi0+aNCkvL2/w4MFr165NSEj4\n+PGjqakpnW/9888/hJD+/fs3+9NVVFQcHBzOnDlDvS0oKLh//37T+7CU3bt3P3v2LDQ0lBDy\n4sWLjRs3GhkZNbox2uyq2EOHDtEVhg0bRr348OHDixcvlJSUoqKiTvCRkpKqra3Nzc2l5hHy\np7yEEGNjYzU1tZYaU05OjhBSWFjYUgVCSHFxMSGk2Rl4/BQUFMrLy2tra1uvBgDCBSN2ANC9\nqqurv/322xMnTnz8+JHD4ejp6Q0aNCgrK4u/jqqqaqOj1NXVCSElJSWEkBMnTmzbtu3YsWPr\n1q0jhPTp02fKlCnbtm0bMGAA+e8gloyMTEsBTJ8+fenSpffu3RsxYgS1fd20adNaqjxw4MCg\noKDg4OCkpKSnT58uX7582rRpOTk5rQ+S8VNRUaFeFBQUEELu3LnTdFkuIeT9+/fUTDvqKvip\nqalRF96Urq6uuLj406dPWwmAyhcNDAxaj5PK/CorK5WUlFqvCQBCBCN2ANC9pk6dGhkZuXz5\n8rS0tJqammfPngUFBTWq0zSPoZaOUncVpaWl16xZk5ub++zZs8jIyBEjRpw8eXL8+PE8Ho8Q\nQk3Rq6ysbCUANptNDdrFxMSYm5s3TXo+ffr07Nkz/pNISEh4enru27evrq6upcdXNIu+ZUxl\neP7+/s3Ogxk1ahSVUTVaJNtsa9D69u07evToN2/eXLx4saU6hw8fJoS4ubm1HmdlZSWLxerX\nr1/bLgsAhAMSOwDoRpWVldevX586dWpYWJi5uTn1qIN37941qvb8+fP8/Hz+EmoFg5GRUU5O\nTnBwMLVp8KBBgxYsWJCYmOji4pKenk7dkaRG+0pLS1uKQU1NzcbGJjo6mtrTrtn7sMXFxUZG\nRpGRkY3K9fX1CSFVVVXtvXBCiIKCgoKCQqNHlhFCfvrpp5CQEELIwIED6SulZWVlUfdSW7Jl\nyxYxMbHAwMBm98k7c+bM1atXzczMGt3hbaq0tFRJSYnDwX0bAEZBYgcA3ai+vv7z58/U3VJK\neXk5tUizoaGBv9ry5cvp+V6nT5++ePHixIkT9fX12Wz2hg0bQkJC6urqqE/r6uoqKiokJSWp\nlG748OGEkMePH7cSxowZM/Ly8oKDg3k8XrP3YdXV1cXFxektVGgJCQmEEBsbm/ZfOiGE+Pn5\npaSkUOtwKb/88svKlSuplQ0jR440NTWNjo6mh99qamq+/fZbXqvb5g0dOtTf3z8nJ8fS0vLh\nw4d0eX19/aZNmzw9PaWkpA4ePPivjwvLyMiwtLTs2HUBQO/VnUv8KVJXAAAD5ElEQVRuAQB4\n1CLTUaNGrV692sfHR1FRccyYMYQQCwuLS5cu8Xg8RUVFZWVlQoiBgcHChQudnJxYLJaysjL9\nXKzJkycTQgYOHOjj4zN79mwqn6OyNIqmpia9+wmF3u6EeltYWEjtRWdoaEjXabTdyTfffEMI\nWbVqFTX49/Dhw+jo6L59+9rZ2dXX1/Pa8EixefPmEULev39Pl7x7947aNtnS0nLJkiXu7u5i\nYmLq6upFRUVUhatXr0pJSbHZbBcXl4ULF+rr6w8YMEBHR6el7U4odXV169evFxcXJ4Roa2u7\nu7vb2dlRy4Q1NDSuXLnSqH7T7U4qKyvZbPZPP/3U0rUAgJDCiB0AdK+TJ0/6+fkVFhbu3bv3\nyZMn27dvv3bt2pIlSwoKCs6fP0/VmTlzZlxcnL6+/oULF54/fz5nzpz79++bmJhQnx4/fjwk\nJERcXPzEiRPXrl3T19c/ceIEtZCCMnny5ISEBF7LA10aGhrW1tak1WUTGzdu/OqrrzZv3kzN\njbOyspoxY4aJicnFixfpaXPtxeVy792798MPP/B4vKNHj2ZmZvr4+Ny7d49aGkIIcXZ2Tk5O\nnjhxYkZGRlxc3JAhQ27fvt3okRhNcTic4ODg5OTkuXPnEkLi4uLy8/NHjRq1adOmrKwsaie8\n1t24caOhoeFf5+EBgNBhtfKrEABAKDx58sTExOTmzZt2dnadPFVubu6dO3fmzp27Zs2acePG\ndfgmbGfY29vn5+dTMwhdXFxSUlIqKio6c8KNGzcGBQVlZGTQO+TNmDGjsrKy9ceOAYAwwogd\nAAg9Y2Pj8ePHHz16tPOn0tfX//LLLwkhM2fOFEhW1wNKS0tjY2NXrFgh6EAAoOshsQMAJti5\nc+epU6eaPhOiY1atWkXtosJImzdvdnFxmTBhgqADAYCuh8QOAJjAyMho7dq1x48f75Kzbdq0\nid5nuOcpKSlRG/hR3r59y2KxqMUf7bVy5UoWi8W/cWBlZeWtW7f279/fBYECQO+DOXYAAL1X\ndHQ09YAKQkhgYGB7D//zzz+pxbyEkHnz5tEPsQUApkJiBwAAAMAQuBULAAAAwBBI7AAAAAAY\nAokdAAAAAEMgsQMAAABgCCR2AAAAAAyBxA4AAACAIZDYAQAAADAEEjsAAAAAhkBiBwAAAMAQ\nSOwAAAAAGAKJHQAAAABDILEDAAAAYAgkdgAAAAAMgcQOAAAAgCGQ2AEAAAAwBBI7AAAAAIZA\nYgcAAADAEEjsAAAAABgCiR0AAAAAQyCxAwAAAGAIJHYAAAAADIHEDgAAAIAhkNgBAAAAMAQS\nOwAAAACGQGIHAAAAwBD/D52wbtaTmeMmAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "SPECTRUM = mfft_real(harmonic_sample$data, nfreq=20)\n",
    "plot(SPECTRUM)\n",
    "points(harmonic_sample$spectrum$Freq, harmonic_sample$spectrum$Amp, col='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "12ac668a-578f-49d2-ba2f-82b873b26237",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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HFFTNujeiDBkMgNNUYpiyOkBNWT/IMh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\nSfB/uHL5SVtlAAYAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "t <- seq(1024)\n",
    "t_skewed <- t + rnorm(1024,sd=6.7)\n",
    "plot(t,t_skewed, type='l')\n",
    "harmonic_sample_data_skewed <- approx(t_skewed, harmonic_sample$data, t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "6d097ab1-0ed4-4529-897c-fd7299c4f557",
   "metadata": {},
   "outputs": [],
   "source": [
    "harmonic_sample_data_skewed <- ts(harmonic_sample_data_skewed$y, deltat=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "6e89d7b7-a935-428f-836f-be27d4c07d91",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "A Time Series:<br><style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
       ".list-inline>li {display: inline-block}\n",
       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol 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      ],
      "text/latex": [
       "A Time Series:\\\\\\begin{enumerate*}\n",
       "\\item -0.676225856756976\n",
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       "\\item -0.957457487195965\n",
       "\\item -1.55585470224114\n",
       "\\item -1.71746715555062\n",
       "\\item -1.87907960886011\n",
       "\\item -1.86031827454157\n",
       "\\item -2.16129973861839\n",
       "\\item -1.77245892307165\n",
       "\\item -1.13130322310627\n",
       "\\item -0.490147523140889\n",
       "\\item -1.83316281616328\n",
       "\\item -1.81155671712818\n",
       "\\item -0.568445825077404\n",
       "\\item -0.593395416001783\n",
       "\\item -1.89004931887115\n",
       "\\item -1.25877835882664\n",
       "\\item -0.973754995936394\n",
       "\\item -0.0340654739968939\n",
       "\\item 0.557801201041317\n",
       "\\item 1.14966787607953\n",
       "\\item 1.74153455111774\n",
       "\\item 2.33340122615595\n",
       "\\item 1.70376276690232\n",
       "\\item 1.01940759951108\n",
       "\\item 2.43071154470704\n",
       "\\item 1.19628985968149\n",
       "\\item 1.92988418464637\n",
       "\\item 2.03963512500836\n",
       "\\item 1.70849355305431\n",
       "\\item 0.801604186761153\n",
       "\\item 1.88127187887788\n",
       "\\item 2.15042750313715\n",
       "\\item 1.88374583969095\n",
       "\\item 1.457529630142\n",
       "\\item 1.47216182900135\n",
       "\\item 0.774134112173793\n",
       "\\item -0.0170343741094552\n",
       "\\item -0.881694908436939\n",
       "\\item 0.260868189819808\n",
       "\\item 1.20376965173897\n",
       "\\item 1.5210887105681\n",
       "\\item -0.0559818869718627\n",
       "\\item ⋯\n",
       "\\item 0.112277266138601\n",
       "\\item 0.335586521553944\n",
       "\\item 0.654248661408034\n",
       "\\item 0.935948300098287\n",
       "\\item 0.794333960962961\n",
       "\\item 1.12444655096731\n",
       "\\item 0.626014953085426\n",
       "\\item 1.16478737323786\n",
       "\\item 1.20138697005379\n",
       "\\item 1.23798656686972\n",
       "\\item 0.0585745968144165\n",
       "\\item -0.36662801241544\n",
       "\\item 0.0100667709897844\n",
       "\\item 0.0953782742039862\n",
       "\\item 0.0729076870982408\n",
       "\\item -0.148172023651268\n",
       "\\item -0.369251734400778\n",
       "\\item -0.22564766846057\n",
       "\\item -0.0722192286903989\n",
       "\\item -0.484404116264336\n",
       "\\item -0.405648761132586\n",
       "\\item 0.162526051186954\n",
       "\\item 0.262242140721118\n",
       "\\item 0.294756568339094\n",
       "\\item 0.108291050732196\n",
       "\\item 0.551806815130198\n",
       "\\item 0.350182773748307\n",
       "\\item -0.0946711516632899\n",
       "\\item -0.750409874522919\n",
       "\\item 0.881610059278545\n",
       "\\item -0.317421618230268\n",
       "\\item -0.552179878768912\n",
       "\\item -0.988321659213436\n",
       "\\item -1.1126587916159\n",
       "\\item -0.883647585970539\n",
       "\\item -0.193267389227712\n",
       "\\item -0.927226970222141\n",
       "\\item -0.152349388741571\n",
       "\\item 0.622528192738997\n",
       "\\item -0.810201887551793\n",
       "\\item -0.582092915648757\n",
       "\\item -0.35398394374572\n",
       "\\item -0.128424931769125\n",
       "\\item -0.0116565750625262\n",
       "\\item 1.56064892524266\n",
       "\\item 0.592520179131662\n",
       "\\item -0.755780902023209\n",
       "\\item -0.0230669359560448\n",
       "\\item -0.135456621639805\n",
       "\\item 0.545458806059049\n",
       "\\item 1.17388363244683\n",
       "\\item 0.922253443528682\n",
       "\\item 0.670623254610532\n",
       "\\item 1.57543634840919\n",
       "\\item 1.53188695128835\n",
       "\\item 1.37349143741498\n",
       "\\item 1.57136080302552\n",
       "\\item 1.6136489642495\n",
       "\\item 0.988712573189035\n",
       "\\item 0.644363839376288\n",
       "\\item 1.236124745211\n",
       "\\item 1.82788565104571\n",
       "\\item 1.32979575235304\n",
       "\\item 0.702564684077836\n",
       "\\item 0.327423957333261\n",
       "\\item 1.45097640888428\n",
       "\\item 0.907496786903285\n",
       "\\item 0.925610387496293\n",
       "\\item -1.0991847485261\n",
       "\\item -1.16469279249253\n",
       "\\item -0.704703342652592\n",
       "\\item -1.13109999688334\n",
       "\\item -1.07775681507542\n",
       "\\item -1.0244136332675\n",
       "\\item -1.27393876949768\n",
       "\\item -0.975039416135967\n",
       "\\item 0.216477721651439\n",
       "\\item -0.219646980867112\n",
       "\\item -0.655771683385663\n",
       "\\item -1.09189638590421\n",
       "\\item -0.127165352810565\n",
       "\\item -0.904711274592663\n",
       "\\item -0.603946428393702\n",
       "\\item 0.0644695157314482\n",
       "\\item -0.243944509019812\n",
       "\\item -0.749560303464711\n",
       "\\item -1.34132928256477\n",
       "\\item -1.82811511106123\n",
       "\\item -0.338823880924709\n",
       "\\item -0.800235423057373\n",
       "\\item -1.71514940511933\n",
       "\\item -1.13358651792807\n",
       "\\item -0.339196667850054\n",
       "\\item 0.452180427832167\n",
       "\\item 1.24355752351439\n",
       "\\item 1.59323667699542\n",
       "\\item -0.915111734494699\n",
       "\\item -0.0868095259498789\n",
       "\\item 0.741492682594941\n",
       "\\item 1.49138906569929\n",
       "\\item 1.90462546482914\n",
       "\\item 1.61221779061856\n",
       "\\item 0.825622782308653\n",
       "\\item 0.540338777826756\n",
       "\\item 0.915858309310217\n",
       "\\item 1.38918220803803\n",
       "\\item 1.86250610676584\n",
       "\\item 1.58420165425065\n",
       "\\item 1.55935716683762\n",
       "\\item 2.60975045208805\n",
       "\\item 1.98552038616983\n",
       "\\item 2.15691010290213\n",
       "\\item 1.52369599419199\n",
       "\\item 0.828863776934643\n",
       "\\item 0.134031559677293\n",
       "\\item 1.17061709380209\n",
       "\\item 1.18593408368389\n",
       "\\item 1.20125107356568\n",
       "\\item 1.20542781968783\n",
       "\\item -0.273334124853974\n",
       "\\item -0.329756396197087\n",
       "\\item -1.76726925118758\n",
       "\\item -1.35387471602356\n",
       "\\item -0.83476302236031\n",
       "\\item -1.34897634975997\n",
       "\\item 0.928045158417042\n",
       "\\item 0.672823295159641\n",
       "\\item -0.766309371825234\n",
       "\\item -0.0641773644016883\n",
       "\\item -1.47473172396183\n",
       "\\item -2.13034734653914\n",
       "\\item -1.16379160839931\n",
       "\\item -1.67022100895543\n",
       "\\item -1.93797810940454\n",
       "\\item 0.702387580743656\n",
       "\\item 0.497039978802927\n",
       "\\item 1.37800353307617\n",
       "\\item -0.423071609531919\n",
       "\\item -1.22831547196279\n",
       "\\item -2.09391849828553\n",
       "\\item -2.23549032533731\n",
       "\\item -2.05041621076076\n",
       "\\item -1.84671450167264\n",
       "\\item -1.64301279258451\n",
       "\\item -1.43931108349639\n",
       "\\item -0.225549326011329\n",
       "\\item -0.535282973324152\n",
       "\\item -0.845016620636976\n",
       "\\item 1.50374829622392\n",
       "\\item 1.65009232177209\n",
       "\\item 1.79643634732026\n",
       "\\item 1.81459113785461\n",
       "\\item 1.05631723907261\n",
       "\\item 1.56847483397584\n",
       "\\item 2.08063242887908\n",
       "\\item 2.59279002378232\n",
       "\\item 1.47197381887885\n",
       "\\item 1.26846418733842\n",
       "\\item -0.556718864612199\n",
       "\\item 1.44230384310283\n",
       "\\item 1.4924525566025\n",
       "\\item 2.91340500073227\n",
       "\\item 2.87318377690275\n",
       "\\item 1.77201466324701\n",
       "\\item -0.907543343735739\n",
       "\\item 0.148571628017704\n",
       "\\item 1.18356390399726\n",
       "\\item 0.933973211091872\n",
       "\\item 1.27502414260642\n",
       "\\item 1.53166874644271\n",
       "\\item -1.19104486934742\n",
       "\\item -1.42817616943921\n",
       "\\item -1.25915990321102\n",
       "\\item 1.56655862461324\n",
       "\\item 0.849197912533256\n",
       "\\item -0.386848326492185\n",
       "\\item -0.543295416334426\n",
       "\\item -2.22614361455623\n",
       "\\item -1.58862178106599\n",
       "\\item -1.6972058103428\n",
       "\\item -1.5875527954307\n",
       "\\item -1.32967143093533\n",
       "\\item -1.07179006643996\n",
       "\\item -1.7593531991396\n",
       "\\item -2.07692275820122\n",
       "\\item -1.68848636369876\n",
       "\\item -2.52812776671824\n",
       "\\item -1.64134430881139\n",
       "\\item -2.29720063371145\n",
       "\\item -1.23738331084908\n",
       "\\item 0.454204252125385\n",
       "\\item -0.0211049280274468\n",
       "\\item -0.590391273518326\n",
       "\\item -1.17202882062291\n",
       "\\item 1.07338560423857\n",
       "\\item 1.02745467625279\n",
       "\\item 0.877544946931858\n",
       "\\item 0.727635217610927\n",
       "\\item -1.51192335191676\n",
       "\\item -0.218940917035106\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "A Time Series:  \n",
       "1. -0.676225856756976\n",
       "2. -0.159815561527759\n",
       "3. -0.179938587909537\n",
       "4. -0.200061614291314\n",
       "5. -0.220184640673091\n",
       "6. -0.240307667054869\n",
       "7. -0.260430693436646\n",
       "8. -0.280553719818423\n",
       "9. -0.358641369469592\n",
       "10. -0.438114848390811\n",
       "11. -0.51758832731203\n",
       "12. -0.597061806233249\n",
       "13. -0.636411984343638\n",
       "14. -0.782284802248475\n",
       "15. -0.784219725548309\n",
       "16. -0.415029649629045\n",
       "17. -0.261768298596437\n",
       "18. -0.154537694507778\n",
       "19. -0.627312000792596\n",
       "20. -0.813857639746735\n",
       "21. -0.610439301286688\n",
       "22. -1.11289240652191\n",
       "23. -1.10397420415296\n",
       "24. -0.856029680165028\n",
       "25. 0.102644957535185\n",
       "26. 0.656483836644842\n",
       "27. 0.144334270724754\n",
       "28. -0.265192101714905\n",
       "29. -0.2971071749135\n",
       "30. 0.0388262949737816\n",
       "31. 1.42189429292427\n",
       "32. 0.364827447204478\n",
       "33. 0.825415065059979\n",
       "34. 1.34084037490646\n",
       "35. 1.29699947530009\n",
       "36. 1.06291967051476\n",
       "37. 1.04895833395215\n",
       "38. 1.03212197620865\n",
       "39. 1.00892297133068\n",
       "40. 0.863747519017136\n",
       "41. 0.752467687125201\n",
       "42. 0.940718808991856\n",
       "43. 0.487709193666458\n",
       "44. 0.274537126103373\n",
       "45. 1.20233218301015\n",
       "46. 1.74069546311134\n",
       "47. 1.30467815098014\n",
       "48. 1.32253305879503\n",
       "49. 0.565281651498106\n",
       "50. 1.35617352323508\n",
       "51. -0.179046010804418\n",
       "52. 0.818363600854938\n",
       "53. -1.20605512720182\n",
       "54. -1.66283841754201\n",
       "55. -0.665729350274496\n",
       "56. -0.650132869021959\n",
       "57. -0.634536387769421\n",
       "58. -1.23007790444178\n",
       "59. -0.884352293206516\n",
       "60. -1.7597117802886\n",
       "61. -1.71772027096459\n",
       "62. -1.67572876164058\n",
       "63. -1.63373725231657\n",
       "64. -1.60504961845853\n",
       "65. -1.75060947986968\n",
       "66. -1.89616934128082\n",
       "67. -1.57697710047066\n",
       "68. -1.56239245208246\n",
       "69. -1.21909785867401\n",
       "70. -0.954590766678492\n",
       "71. -0.690083674682977\n",
       "72. -0.26095829014063\n",
       "73. -1.11356533072115\n",
       "74. -0.875572269237747\n",
       "75. -0.563392612911684\n",
       "76. 0.134103645920013\n",
       "77. 0.83159990475171\n",
       "78. 1.52909616358341\n",
       "79. 1.93803219009904\n",
       "80. 1.56622733823243\n",
       "81. 1.19442248636582\n",
       "82. 0.822617634499203\n",
       "83. 2.19742017250578\n",
       "84. 1.89898839783546\n",
       "85. 0.131754224418035\n",
       "86. 0.384879213021238\n",
       "87. 2.2838778008632\n",
       "88. 2.03058717265033\n",
       "89. 1.73851591273401\n",
       "90. 1.35237024837975\n",
       "91. 0.947054321636485\n",
       "92. 0.795049605378675\n",
       "93. 1.3353613868199\n",
       "94. 1.08996891405629\n",
       "95. 1.08433777750784\n",
       "96. 1.40268336331463\n",
       "97. -1.03916391539921\n",
       "98. 1.11086604763121\n",
       "99. 0.191401559526361\n",
       "100. 0.793160934404833\n",
       "101. 0.229175347187902\n",
       "102. 1.23101197880886\n",
       "103. 1.20223433498195\n",
       "104. -1.63369187260924\n",
       "105. 0.875592010572026\n",
       "106. -2.24284414875959\n",
       "107. -2.26050244607145\n",
       "108. -2.07122252450513\n",
       "109. -1.76916658191843\n",
       "110. -1.89148210145375\n",
       "111. -0.989975526487243\n",
       "112. -1.19632599638564\n",
       "113. -0.928232541846491\n",
       "114. 0.150457380137158\n",
       "115. -1.92037927385411\n",
       "116. -1.88099537119483\n",
       "117. -1.95600661095791\n",
       "118. -1.7086755204529\n",
       "119. -1.58036120644154\n",
       "120. -1.19604281726768\n",
       "121. -0.142970430155681\n",
       "122. 0.193671200839649\n",
       "123. -0.161107676202629\n",
       "124. 2.49211232748245\n",
       "125. 1.38149642518023\n",
       "126. 0.270880522878001\n",
       "127. -0.0999386732281721\n",
       "128. 0.511123370029828\n",
       "129. 1.12218541328783\n",
       "130. 1.532101274958\n",