10_matrix_factorization_with_bias.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8caa3a86-0f54-434b-8a90-6c15e3fe9fb5",
   "metadata": {},
   "source": [
    "# Matrix Factorization with Bias\n",
    "\n",
    "Similar to 09_matrix_factorization.py, but with user and item bias (TODO: Add reference on why this bias is needed).\n",
    "\n",
    "## Reference:\n",
    "- https://github.com/GabrielSandoval/matrix_factorization/blob/master/lib/mf.py\n",
    "- https://d2l.ai/chapter_recommender-systems/mf.html\n",
    "- https://medium.com/@maxbrenner-ai/matrix-factorization-for-collaborative-filtering-linear-to-non-linear-models-in-python-5cf54363a03c\n",
    "- https://github.com/NicolasHug/Surprise/blob/master/surprise/prediction_algorithms/matrix_factorization.pyx\n",
    "- https://everdark.github.io/k9/notebooks/ml/matrix_factorization/matrix_factorization.nb.html#3_neural_netork_representation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "08b1865c-2528-49fb-813b-327aaa464c91",
   "metadata": {},
   "source": [
    "Consider the following matrix of ratings. The rows are the users, while the columns are the items, and the values are the rating 1-5.\n",
    "In the first row, we see that user rated 5 for the item.\n",
    "\n",
    "The average rating for this matrix is 2.8 stars (after rounding)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "51c662e1-b798-4516-bcde-c2fbc5cfa704",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-31T15:03:51.877408Z",
     "iopub.status.busy": "2024-01-31T15:03:51.857503Z",
     "iopub.status.idle": "2024-01-31T15:03:52.578257Z",
     "shell.execute_reply": "2024-01-31T15:03:52.574715Z",
     "shell.execute_reply.started": "2024-01-31T15:03:51.876605Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.8"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "ratings = np.array(\n",
    "    [[5, 3, 0, 1], [4, 0, 0, 1], [1, 1, 0, 5], [1, 0, 0, 4], [0, 1, 5, 4]], dtype=float\n",
    ")\n",
    "avg_rating = np.mean(ratings[ratings.nonzero()])\n",
    "np.round(avg_rating, 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3d351991-8c8e-4e96-827e-4deb15d332d2",
   "metadata": {},
   "source": [
    "We want to learn the bias of the user and the items. In the context of movie recommendation, the user bias can be a user that is picky about a user, and hence gives a lower rating (-0.5) than usual. However, the movie seems to have a of fans giving high rating (1.7).\n",
    "\n",
    "The final rating after taking into consideration the initial average rating, the user bias and the item bias is:\n",
    "\n",
    "```\n",
    "final_rating = 2.8 - 0.5 + 1.7\n",
    "             = 4.0\n",
    "```\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d017b776-a5db-4c24-950f-08ff999431ce",
   "metadata": {},
   "source": [
    "## Baseline Model\n",
    "\n",
    "In the baseline model, we cover only the user and item biases."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "960143b2-8d79-45ea-a001-9f04206a7c6a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-31T15:03:52.740750Z",
     "iopub.status.busy": "2024-01-31T15:03:52.740199Z",
     "iopub.status.idle": "2024-01-31T15:03:52.752066Z",
     "shell.execute_reply": "2024-01-31T15:03:52.750833Z",
     "shell.execute_reply.started": "2024-01-31T15:03:52.740697Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "c0480c0a-5cc7-492b-a0f5-f49c2760306e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-31T16:53:58.915478Z",
     "iopub.status.busy": "2024-01-31T16:53:58.887860Z",
     "iopub.status.idle": "2024-01-31T16:53:59.531951Z",
     "shell.execute_reply": "2024-01-31T16:53:59.525652Z",
     "shell.execute_reply.started": "2024-01-31T16:53:58.915387Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.02230769157409668\n",
      "0.002084612427586555\n",
      "-0.01793623390515055\n",
      "0.012084614658355712\n",
      "-0.017633793466289144\n",
      "-0.018036231465920153\n",
      "-0.01753279045420453\n",
      "0.023019085569501364\n",
      "-0.017855869116868647\n",
      "0.012611761414457513\n",
      "-0.01753782664782399\n",
      "0.022483071594357584\n",
      "0.01225763038487244\n",
      "0.022258128244083776\n",
      "0.0023504067483800795\n",
      "-0.01812614213722135\n",
      "0.012155600643256617\n",
      "-0.017700296456240227\n",
      "-0.017895947061365793\n",
      "-0.017081490647269694\n",
      "0.02301804986823348\n",
      "-0.017790046562353258\n",
      "0.012542934746303618\n",
      "-0.01738716809329653\n",
      "0.022084703821739115\n",
      "0.011968155274682138\n",
      "0.02220602639873342\n",
      "0.002607285588364056\n",
      "-0.018310041511838723\n",
      "0.012224291897996231\n",
      "-0.01776072387169726\n",
      "-0.01776379515320986\n",
      "-0.016644603539060013\n",
      "0.023017370778018176\n",
      "-0.01772633959404631\n",
      "0.012480192409381854\n",
      "-0.017239581994849467\n",
      "0.021695722353845658\n",
      "0.011689961212186427\n",
      "0.022151591303529578\n",
      "0.002855565355652746\n",
      "-0.018488180861157427\n",
      "0.012290799374641167\n",
      "-0.017815410209955175\n",
      "-0.017639406202044104\n",
      "-0.01622165009219107\n",
      "0.023016969467119088\n",
      "-0.017664643943832884\n",
      "0.012423202227578305\n",
      "-0.01709498824882791\n",
      "0.021315856576004412\n",
      "0.011422586028002644\n",
      "0.022095017595224458\n",
      "0.0030955510806469234\n",
      "-0.018660796960493012\n",
      "0.012355228466730506\n",
      "-0.01786467323260429\n",
      "-0.017522426104403674\n",
      "-0.015812167454227442\n",
      "0.02301677399977028\n",
      "-0.01760486064855171\n",
      "0.012371648565255935\n",
      "-0.016953308704640516\n",
      "0.020944845126081125\n",
      "0.011165588049539979\n",
      "0.022036489750619753\n",
      "0.0033275368060025276\n",
      "-0.018828115164677223\n",
      "0.012417679262099196\n",
      "-0.017908814800732666\n",
      "-0.017412515583447453\n",
      "-0.015415708425264444\n",
      "0.02301671885946136\n",
      "-0.017546895806376757\n",
      "0.012325231504680128\n",
      "-0.016814467156789335\n",
      "0.020582435523909925\n",
      "0.010918545127104004\n",
      "0.021976182537378187\n",
      "0.003551805965251441\n",
      "-0.01899035000889642\n",
      "0.012478246785959355\n",
      "-0.01794812166711461\n",
      "-0.01730934960175719\n",
      "-0.015031840941129242\n",
      "0.023016744502612003\n",
      "-0.01749066034265651\n",
      "0.012283666065686965\n",
      "-0.016678389332568568\n",
      "0.020228383817750648\n",
      "0.010681053709088752\n",
      "0.021914261447396492\n",
      "0.0037686317502333834\n",
      "-0.019147705776084434\n",
      "0.012537021234494466\n",
      "-0.017982866227702416\n",
      "-0.017212616795596766\n",
      "-0.014660147571909475\n",
      "0.023016796940741466\n",
      "-0.017436069784960206\n",
      "0.012246681465324195\n",
      "-0.01654500287591481\n",
      "0.019882454246903675\n",
      "0.010452727963648541\n",
      "0.021850883113267498\n",
      "0.0039782774675121745\n",
      "-0.019300377032815973\n",
      "0.012594088199224932\n",
      "-0.018013307234607482\n",
      "-0.017122018929980748\n",
      "-0.014300225035508207\n",
      "0.02301682734935677\n",
      "-0.01738304404707731\n",
      "0.012214020415322888\n",
      "-0.016414237327851737\n",
      "0.019544418919660335\n",
      "0.010233198944386814\n",
      "0.021786195708354633\n",
      "0.0041809968839617555\n",
      "-0.019448549135529167\n",
      "0.012649528882406025\n",
      "-0.01803969047263362\n",
      "-0.017037270373909782\n",
      "-0.01395168372591578\n",
      "0.023016791701894333\n",
      "-0.017331507221714077\n",
      "0.012185438455378212\n",
      "-0.016286024103935367\n",
      "0.01921405750581193\n",
      "0.010022113797736343\n",
      "0.02172033933099653\n",
      "0.004377034561717745\n",
      "-0.01959239870879567\n",
      "0.01270342030372044\n",
      "-0.01806224940130975\n",
      "-0.01695809759514016\n",
      "-0.013614147255883184\n",
      "0.023016650427153913\n",
      "-0.017281387381630337\n",
      "0.01216070332033111\n",
      "-0.01616029646907211\n",
      "0.018891156942983076\n",
      "0.009819135009833864\n",
      "0.021653446373352696\n",
      "0.004566626182699062\n",
      "-0.019732094097253367\n",
      "0.012755835498527832\n",
      "-0.01808120576425959\n",
      "-0.016884238673865317\n",
      "-0.013287252013676604\n",
      "0.02301636808876079\n",
      "-0.017232616388959603\n",
      "0.012139594339449583\n",
      "-0.01603698951005007\n",
      "0.018575511156095022\n",
      "0.00962393969081388\n",
      "0.021585641875393812\n",
      "0.004749998862911281\n",
      "-0.019867795792719786\n",
      "0.012806843707933138\n",
      "-0.01809677016764368\n",
      "-0.016815442834698366\n",
      "-0.01297064673358958\n",
      "0.023015913085283703\n",
      "-0.017185129712456358\n",
      "0.012121901866108469\n",
      "-0.015916040106095257\n",
      "0.018266920789302397\n",
      "0.009436218894560698\n",
      "0.021517043864531796\n",
      "0.004927371456749351\n",
      "-0.019999656837913434\n",
      "0.012856510560933895\n",
      "-0.01810914262931197\n",
      "-0.016751469996356457\n",
      "-0.012663992079886792\n",
      "0.02301525736972135\n",
      "-0.01713886625241616\n",
      "0.012107426736261494\n",
      "-0.01579738689773711\n",
      "0.017965192949782462\n",
      "0.00925567697206561\n",
      "0.02144776368137597\n",
      "0.00509895485152196\n",
      "-0.020127823208125006\n",
      "0.01290489824890457\n",
      "-0.01811851310021445\n",
      "-0.016692090338460232\n",
      "-0.012366960243852554\n",
      "0.023014376187150205\n",
      "-0.017093768173016586\n",
      "0.012095979754188284\n",
      "-0.015680970254242862\n",
      "0.017670140962789405\n",
      "0.009082030956637984\n",
      "0.02137790629209191\n",
      "0.0052649522524232575\n",
      "-0.020252434172100108\n",
      "0.012952065692673083\n",
      "-0.018125061959531247\n",
      "-0.01663708388487439\n",
      "-0.012079234553616909\n",
      "0.023013247829401885\n",
      "-0.017049780741829775\n",
      "0.0120873812040831\n",
      "-0.01556673223985732\n",
      "0.017381584137417912\n",
      "0.008915009979314572\n",
      "0.021307570587830022\n",
      "0.005425559458180239\n",
      "-0.02037362263332048\n",
      "0.012998068702441263\n",
      "-0.018128960484903114\n",
      "-0.0165862401030284\n",
      "-0.01180050909643294\n",
      "0.023011853405708136\n",
      "-0.01700685217626096\n",
      "0.012081460386130935\n",
      "-0.015454616579063283\n",
      "0.017099347542550047\n",
      "0.008754354712902016\n",
      "0.02123684967168009\n",
      "0.005580965127605834\n",
      "-0.020491515452799734\n",
      "0.013042960130797275\n",
      "-0.018130371299066774\n",
      "-0.016539357518669945\n",
      "-0.011530488353080492\n",
      "0.02301017662831782\n",
      "-0.016964933496671133\n",
      "0.01207805517579128\n",
      "-0.015344568621058078\n",
      "0.016823261792487602\n",
      "0.008599816843172453\n",
      "0.021165831133597705\n",
      "0.0057313510372882515\n",
      "-0.020606233754443842\n",
      "0.01308679001906352\n",
      "-0.018129448794128315\n",
      "-0.01649624334551704\n",
      "-0.011268886844073686\n",
      "0.023008203612151782\n",
      "-0.016923978385946406\n",
      "0.012077011605079947\n",
      "-0.015236535303623655\n",
      "0.01655316284179859\n",
      "0.0084511585658127\n",
      "0.02109459731373758\n",
      "0.0058768923306476185\n",
      "-0.02071789321396425\n",
      "0.01312960573721921\n",
      "-0.018126339534639747\n",
      "-0.016456713129288585\n",
      "-0.011015428787352517\n",
      "0.023005922687619598\n",
      "-0.016883943055281063\n",
      "0.012078183464705534\n",
      "-0.015130465116550891\n",
      "0.016288891788931642\n",
      "0.00830815210780314\n",
      "0.02102322555461752\n",
      "0.00601775775858998\n",
      "-0.020826604332273315\n",
      "0.013171452117631712\n",
      "-0.018121182640580595\n",
      "-0.016420590405606773\n",
      "-0.01076984776714211\n",
      "0.02300332422577632\n",
      "-0.01684478611594628\n",
      "0.012081431925979436\n",
      "-0.01502630806476322\n",
      "0.016030294688175586\n",
      "0.008170579271974015\n",
      "0.020951788442525876\n",
      "0.006154109911987925\n",
      "-0.02093247269423702\n",
      "0.013212371582825653\n",
      "-0.01811411015128601\n",
      "-0.01638770637127863\n",
      "-0.01053188641366726\n",
      "0.02300040047504827\n",
      "-0.016806468456821586\n",
      "0.012086625181477144\n",
      "-0.01492401563127064\n",
      "0.015777222369563915\n",
      "0.008038231003554186\n",
      "0.02088035403857389\n",
      "0.006286105446215191\n",
      "-0.02103559921360841\n",
      "0.013252404267513512\n",
      "-0.018105247371306556\n",
      "-0.016357899568477653\n",
      "-0.010301296093413972\n",
      "0.022997145408804757\n",
      "-0.016768953127471307\n",
      "0.012093638103483977\n",
      "-0.014823540740071875\n",
      "0.01552953026634468\n",
      "0.007910906977591307\n",
      "0.02080898609978326\n",
      "0.006413895297960628\n",
      "-0.021136080364917036\n",
      "0.013291588135105878\n",
      "-0.018094713199131106\n",
      "-0.016331015581360207\n",
      "-0.010077836609634565\n",
      "0.022993554583097053\n",
      "-0.01673220522655382\n",
      "0.012102351919310712\n",
      "-0.01472483771911045\n",
      "0.01528707824965644\n",
      "0.0077884152061820375\n",
      "0.02073774429058772\n",
      "0.006537624894544314\n",
      "-0.021234008403044326\n",
      "0.013329959088913932\n",
      "-0.018082620439654345\n",
      "-0.016306906744665048\n",
      "-0.009861275912797712\n",
      "0.022989625003928205\n",
      "-0.01669619179535684\n",
      "0.012112653902613787\n",
      "-0.014627862263379383\n",
      "0.015049730470069507\n",
      "0.0076705716645080945\n",
      "0.020666684385116416\n",
      "0.006657434355955727\n",
      "-0.02132947157117207\n",
      "0.013367551078251048\n",
      "-0.01806907610122249\n",
      "-0.01628543186385756\n",
      "-0.009651389820690222\n",
      "0.022985355003456383\n",
      "-0.016660881716257656\n",
      "0.01212443707990147\n",
      "-0.014532571398258892\n",
      "0.01481735520566932\n",
      "0.007557199934727131\n",
      "0.020595858460615783\n",
      "0.006773458689830817\n",
      "-0.021422554297751414\n",
      "0.0134043961996346\n",
      "-0.018054181678046354\n",
      "-0.016266455946393896\n",
      "-0.009447961747882545\n",
      "0.022980744124571326\n",
      "-0.016626245615912822\n",
      "0.012137599951450997\n",
      "-0.014438923443162196\n",
      "0.014589824716375863\n",
      "0.007448130866818045\n",
      "0.020525315082355236\n",
      "0.006885827979581161\n",
      "-0.02151333738310198\n",
      "0.013440524793283304\n",
      "-0.018038033418728294\n",
      "-0.016249849943693172\n",
      "-0.009250782444276035\n",
      "0.022975793013318226\n",
      "-0.016592255772987553\n",
      "0.01215204622590348\n",
      "-0.014346877975555856\n",
      "0.014367015104208423\n",
      "0.007343202255528277\n",
      "0.02045509948035151\n",
      "0.006994667565884974\n",
      "-0.0216018981762154\n",
      "0.01347596553509973\n",
      "-0.01802072258161004\n",
      "-0.01623549050341879\n",
      "-0.00905964974245539\n",
      "0.022970503318675606\n",
      "-0.016558886030240805\n",
      "0.012167684567842044\n",
      "-0.014256395795413197\n",
      "0.014148806179220133\n",
      "0.00724225853261538\n",
      "0.020385253718235387\n",
      "0.007100098221745614\n",
      "-0.021688310742304515\n",
      "0.013510745524321448\n",
      "-0.01800233567761034\n",
      "-0.016223259731682853\n",
      "-0.008874368313575918\n",
      "0.02296487759922432\n",
      "-0.016526111710787553\n",
      "0.012184428357695983\n",
      "-0.01416743889015219\n",
      "0.013935081330840883\n",
      "0.007145150473617984\n",
      "0.0203158168545741\n",
      "0.007202236321319443\n",
      "-0.021772646021607996\n",
      "0.013544890367019119\n",
      "-0.017982954701186233\n",
      "-0.016213044964799944\n",
      "-0.00869474943152124\n",
      "0.022958919236273242\n",
      "-0.016493909538365565\n",
      "0.012202195463348262\n",
      "-0.014079970400102294\n",
      "0.013725727404380286\n",
      "0.007051734918431522\n",
      "0.02024682509695224\n",
      "0.007301194002710518\n",
      "-0.02185497197993107\n",
      "0.013578424255613458\n",
      "-0.017962657350017654\n",
      "-0.01620473855022887\n",
      "-0.008520610745072906\n",
      "0.022952632353034016\n",
      "-0.016462257561439483\n",
      "0.012220908022856834\n",
      "-0.013993954584539088\n",
      "0.01352063458245531\n",
      "0.0069618745050018215\n",
      "0.02017831194910372\n",
      "0.007397079324925518\n",
      "-0.021935353751375265\n",
      "0.013611370044577966\n",
      "-0.01794151723398409\n",
      "-0.016198237636353054\n",
      "-0.008351776057839965\n",
      "0.022946021739462447\n",
      "-0.01643113508098066\n",
      "0.01224049223773104\n",
      "-0.013909356788319647\n",
      "0.013319696271118668\n",
      "0.006875437415486012\n",
      "0.020110308351377375\n",
      "0.007489996419177774\n",
      "-0.022013853773684196\n",
      "0.013643749322488186\n",
      "-0.017919604073971238\n",
      "-0.016193443970761806\n",
      "-0.008188075115702173\n",
      "0.02293909278240743\n",
      "-0.01640052258176641\n",
      "0.012260878176234115\n",
      "-0.013826143409146676\n",
      "0.013122808990475856\n",
      "0.006792297134263728\n",
      "0.020042842814808975\n",
      "0.0075800456347250265\n",
      "-0.02209053191660801\n",
      "0.013675582480573177\n",
      "-0.017896983891018015\n",
      "-0.01619026370670634\n",
      "-0.00802934340152715\n",
      "0.022931851400730747\n",
      "-0.016370401667048087\n",
      "0.012281999586210169\n",
      "-0.013744281865484884\n",
      "0.012929872269588789\n",
      "0.0067123322172140485\n",
      "0.019975941549062674\n",
      "0.007667323679420936\n",
      "-0.022165445603666196\n",
      "0.0137068887779192\n",
      "-0.017873719186287187\n",
      "-0.016188607217415548\n",
      "-0.007875421936927609\n",
      "0.022924303985081426\n",
      "-0.016340754996442348\n",
      "0.012303793716960418\n",
      "-0.013663740565148755\n",
      "0.012740788545474595\n",
      "0.006635426071703651\n",
      "0.019909628584495815\n",
      "0.007751923755155946\n",
      "-0.022238649927666807\n",
      "0.013737686403470468\n",
      "-0.01784986911231765\n",
      "-0.016188388917967443\n",
      "-0.0077261570908310285\n",
      "0.022916457342028296\n",
      "-0.016311566226905272\n",
      "0.012326201149718304\n",
      "-0.013584488874577125\n",
      "0.012555463066017278\n",
      "0.006561466746760636\n",
      "0.019843925888591567\n",
      "0.007833935688358603\n",
      "-0.022310197760319853\n",
      "0.013767992534966505\n",
      "-0.017825489635992686\n",
      "-0.016189527094422743\n",
      "-0.007581400394640328\n",
      "0.022908318642272045\n",
      "-0.01628281995665421\n",
      "0.012349165636296313\n",
      "-0.01350649708880658\n",
      "0.012373803796619173\n",
      "0.006490346732935375\n",
      "0.0197788534769952\n",
      "0.007913446055723949\n",
      "-0.02238013985626355\n",
      "0.013797823394950615\n",
      "-0.017800633693635784\n",
      "-0.0161919437399377\n",
      "-0.007441008363769815\n",
      "0.022899895372675817\n",
      "-0.016254501671906913\n",
      "0.012372633945499657\n",
      "-0.013429736402152349\n",
      "0.012195721330427598\n",
      "0.006421962771375579\n",
      "0.019714429519381006\n",
      "0.007990538305331047\n",
      "-0.022448524951804077\n",
      "0.013827194303979003\n",
      "-0.017775351338624314\n",
      "-0.016195564397582924\n",
      "-0.007304842325347048\n",
      "0.02289119529186903\n",
      "-0.01622659769631264\n",
      "0.012396555716922796\n",
      "-0.013354178879602831\n",
      "0.012021128801980219\n",
      "0.006356215671666973\n",
      "0.019650670440368504\n",
      "0.00806529287330731\n",
      "-0.022515399858652516\n",
      "0.01385611973115511\n",
      "-0.017749689881891302\n",
      "-0.016200318009605166\n",
      "-0.007172768251876752\n",
      "0.02288222638919444\n",
      "-0.016199095142954523\n",
      "0.012420883321764662\n",
      "-0.013279797428931046\n",
      "0.011849941804120159\n",
      "0.0062930101380139596\n",
      "0.019587591015698225\n",
      "0.00813778729619292\n",
      "-0.022580809552926885\n",
      "0.013884613342109256\n",
      "-0.017723694025666262\n",
      "-0.01620613677287826\n",
      "-0.007044656600669056\n",
      "0.02287299684678258\n",
      "-0.01617198186880707\n",
      "0.01244557173031707\n",
      "-0.01320656577352419\n",
      "0.01168207830803941\n",
      "0.0062322546033563965\n",
      "0.019525204463869746\n",
      "0.008208096319154094\n",
      "-0.02264479725967194\n",
      "0.013912688044538685\n",
      "-0.017697405990788163\n",
      "-0.016212956000298737\n",
      "-0.006920382158839804\n",
      "0.022863515004550965\n",
      "-0.016145246431537207\n",
      "0.012470578385798617\n",
      "-0.013134458425930298\n",
      "0.011517458586315605\n",
      "0.006173861071039283\n",
      "0.019463522533436434\n",
      "0.00827629200018982\n",
      "-0.022707404533135463\n",
      "0.013940356031419007\n",
      "-0.017670865637906458\n",
      "-0.016220713987890642\n",
      "-0.0067998238936964476\n",
      "0.022853789327937916\n",
      "-0.01611887804854175\n",
      "0.012495863084223074\n",
      "-0.01306345066211931\n",
      "0.011356005138814063\n",
      "0.0061177449636713645\n",
      "0.019402555586144378\n",
      "0.008342443810472227\n",
      "-0.022768671333026368\n",
      "0.013967628821993433\n",
      "-0.0176441105828699\n",
      "-0.01622935188739267\n",
      "-0.006682864808328533\n",
      "0.022843828378192873\n",
      "-0.016092866558118125\n",
      "0.012521387860007152\n",
      "-0.01299351849645397\n",
      "0.011197642621332875\n",
      "0.006063824978827462\n",
      "0.019342312676095288\n",
      "0.008406618730956729\n",
      "-0.022828636096967468\n",
      "0.013994517300642068\n",
      "-0.017617176306587816\n",
      "-0.016238813584109196\n",
      "-0.006569391802227207\n",
      "0.022833640785055464\n",
      "-0.016067202382669673\n",
      "0.012547116877037568\n",
      "-0.012924638657364687\n",
      "0.011042297776874863\n",
      "0.006012022951266474\n",
      "0.019282801625106472\n",
      "0.00846888134539379\n",
      "-0.02288733580934389\n",
      "0.014021031753729343\n",
      "-0.017590096259633578\n",
      "-0.01624904557981497\n",
      "-0.006459295536763486\n",
      "0.0228232352216667\n",
      "-0.016041876493850468\n",
      "0.012573016324931477\n",
      "-0.012856788563721133\n",
      "0.010889899369435652\n",
      "0.005962263721353776\n",
      "0.019224029094433954\n",
      "0.008529293929870164\n",
      "-0.022944806066736986\n",
      "0.014047181904523831\n",
      "-0.017562901961846886\n",
      "-0.01625999688051106\n",
      "-0.006352470305360232\n",
      "0.022812620381564667\n",
      "-0.01601688037955875\n",
      "0.012599054320237849\n",
      "-0.012789946301892258\n",
      "0.01074037812020234\n",
      "0.00591447500939218\n",
      "0.01916600065301832\n",
      "0.008587916539003503\n",
      "-0.02300108114012329\n",
      "0.01407297694628072\n",
      "-0.017535623097177974\n",
      "-0.016271618888837262\n",
      "-0.006248813908197932\n",
      "0.022801804957626678\n",
      "-0.01599220601269173\n",
      "0.012625200812340164\n",
      "-0.0127240906034852\n",
      "0.010593666646062313\n",
      "0.00586858729558065\n",
      "0.019108720842406515\n",
      "0.008644807088910285\n",
      "-0.023056194034007885\n",
      "0.014098425573573473\n",
      "-0.017508287604004965\n",
      "-0.016283865300953687\n",
      "-0.006148227531299272\n",
      "0.022790797622828093\n",
      "-0.015967845821577932\n",
      "0.012651427493832692\n",
      "-0.012659200823753\n",
      "0.010449699400326402\n",
      "0.005824533705333904\n",
      "0.01905219323849669\n",
      "0.00870002143706311\n",
      "-0.02311017654265247\n",
      "0.014123536011957781\n",
      "-0.01748092176114372\n",
      "-0.01629669200771126\n",
      "-0.00605061562984243\n",
      "0.022779607012696296\n",
      "-0.015943792662007156\n",
      "0.012677707715154298\n",
      "-0.012595256920659997\n",
      "0.010308412615575021\n",
      "0.005782249899709342\n",
      "0.01899642051024714\n",
      "0.008753613459149875\n",
      "-0.023163059303549574\n",
      "0.014148316046047205\n",
      "-0.017453550269758616\n",
      "-0.016310056999937726\n",
      "-0.0059558858155577925\n",
      "0.022768241709345684\n",
      "-0.015920039790781076\n",
      "0.012704016403274287\n",
      "-0.012532239434593263\n",
      "0.01016974424854024\n",
      "0.005741673970700448\n",
      "0.01894140447548491\n",
      "0.008805635123043432\n",
      "-0.023214871848286113\n",
      "0.014172773046076684\n",
      "-0.01742619633137218\n",
      "-0.01632392027767267\n",
      "-0.005863948748067297\n",
      "0.022756710226986582\n",
      "-0.01589658084071114\n",
      "0.01273032998423531\n",
      "-0.012470129468707892\n",
      "0.010033633926940785\n",
      "0.005702746341167679\n",
      "0.01888714615394372\n",
      "0.008856136559986962\n",
      "-0.02326564265093154\n",
      "0.014196913993026838\n",
      "-0.017398881722161724\n",
      "-0.016338243763191106\n",
      "-0.005774718030030312\n",
      "0.022745020998807885\n",
      "-0.015873409796993303\n",
      "0.012756626309367887\n",
      "-0.012408908669893427\n",
      "0.009900022898190634\n",
      "0.005665409669189214\n",
      "0.018833645817655974\n",
      "0.008905166133096666\n",
      "-0.023315399174078738\n",
      "0.014220745502378796\n",
      "-0.01737162686372159\n",
      "-0.016352991217661754\n",
      "-0.005688110105964228\n",
      "0.022733182365139198\n",
      "-0.015850520974892243\n",
      "0.012782884585000398\n",
      "-0.012348559210348347\n",
      "0.009768853979905774\n",
      "0.005629608756624779\n",
      "0.01878090303881812\n",
      "0.008952770503280172\n",
      "-0.023364167912658607\n",
      "0.014244273846566308\n",
      "-0.01734445089046089\n",
      "-0.016368128161291958\n",
      "-0.005604044164612262\n",
      "0.02272120256280423\n",
      "-0.015827908998670825\n",
      "0.012809085305497223\n",
      "-0.012289063769749323\n",
      "0.009640071512136819\n",
      "0.005595290461695725\n",
      "0.018728916735243913\n",
      "0.008998994692665404\n",
      "-0.02341197443564288\n",
      "0.01426750497618903\n",
      "-0.017317371713798036\n",
      "-0.01638362179681686\n",
      "-0.005522442044735204\n",
      "0.02270908971558275\n",
      "-0.015805568781703052\n",
      "0.012835210189465764\n",
      "-0.012230405518001568\n",
      "0.009513621311258713\n",
      "0.005562403615394527\n",
      "0.01867768521351519\n",
      "0.00904388214563196\n",
      "-0.023458843425743614\n",
      "0.014290444540047957\n",
      "-0.017290406083305527\n",
      "-0.01639944093619637\n",
      "-0.005443228144207772\n",
      "0.02269685182570359\n",
      "-0.01578349550771179\n",
      "0.012861242118981174\n",
      "-0.01217256809855649\n",
      "0.009389450625451783\n",
      "0.005530898941545684\n",
      "0.0186272062099353\n",
      "0.009087474787533299\n",
      "-0.02350479871721159\n",
      "0.014313097904061432\n",
      "-0.017263569644950755\n",
      "-0.016415555930388417\n",
      "-0.005366329332304361\n",
      "0.02268449676629579\n",
      "-0.015761684613074874\n",
      "0.012887165081684969\n",
      "-0.012115535612282853\n",
      "0.009267508091711155\n",
      "0.005500728980348994\n",
      "0.018577476929385852\n",
      "0.009129813081195549\n",
      "-0.023549863331831032\n",
      "0.014335470169117464\n",
      "-0.01723687699657146\n",
      "-0.016431938602072444\n",
      "-0.005291674865062613\n",
      "0.022672032274730042\n",
      "-0.01574013177014599\n",
      "0.012912964115620764\n",
      "-0.012059292601877276\n",
      "0.00914774369432479\n",
      "0.005471848015244237\n",
      "0.018528494082183204\n",
      "0.009170936081275394\n",
      "-0.02359405951320202\n",
      "0.014357566187915624\n",
      "-0.017210341740717693\n",
      "-0.016448562181202078\n",
      "-0.005219196303617109\n",
      "0.022659465946786268\n",
      "-0.015718832871538965\n",
      "0.01293862525667705\n",
      "-0.012003824036800339\n",
      "0.00903010872476264\n",
      "0.005444212002944217\n",
      "0.018480253919026978\n",
      "0.009210881486556863\n",
      "-0.023637408759397797\n",
      "0.014379390580849407\n",
      "-0.017183976534985573\n",
      "-0.016465401243270485\n",
      "-0.005148827435399076\n",
      "0.02264680523158778\n",
      "-0.015697784015326417\n",
      "0.0129641354885134\n",
      "-0.011949115298724024\n",
      "0.008914555742922124\n",
      "0.005417778506490491\n",
      "0.01843275226412906\n",
      "0.009249685690263873\n",
      "-0.023679931854079173\n",
      "0.014400947750977623\n",
      "-0.0171577931399621\n",
      "-0.016482431650176866\n",
      "-0.005080504198101394\n",
      "0.02263405742724578\n",
      "-0.015676981491106037\n",
      "0.012989482694852403\n",
      "-0.011895152167476797\n",
      "0.008801038539677685\n",
      "0.005392506631193175\n",
      "0.01838598454660758\n",
      "0.009287383828462876\n",
      "-0.02372164889614384\n",
      "0.014422241898131205\n",
      "-0.01713180246489433\n",
      "-0.016499630493586732\n",
      "-0.0050141646063118\n",
      "0.022621229677161795\n",
      "-0.01565642176688992\n",
      "0.013014655614025485\n",
      "-0.011841920807472307\n",
      "0.008689512100684173\n",
      "0.0053683569633230085\n",
      "0.018339945830226953\n",
      "0.009324009826627079\n",
      "-0.023762579327984486\n",
      "0.01444327703219968\n",
      "-0.01710601461119091\n",
      "-0.016516976040683085\n",
      "-0.004949748680720278\n",
      "0.0226083289669389\n",
      "-0.015636101476774286\n",
      "0.013039643795666028\n",
      "-0.011789407754608077\n",
      "0.008579932571386261\n",
      "0.005345291511429979\n",
      "0.018294630841561372\n",
      "0.009359596444431444\n",
      "-0.02380274196242552\n",
      "0.014464056985639467\n",
      "-0.017080438913858444\n",
      "-0.01653444768220965\n",
      "-0.004887198379809953\n",
      "0.022595362121855648\n",
      "-0.015616017409349005\n",
      "0.013064437559448595\n",
      "-0.011737599903620527\n",
      "0.008472257223188074\n",
      "0.005323273650169068\n",
      "0.01825003399665588\n",
      "0.009394175318844926\n",
      "-0.023842155008404583\n",
      "0.014484585425244292\n",
      "-0.01705508398097041\n",
      "-0.016552025882711274\n",
      "-0.004826457533943975\n",
      "0.022582335804859684\n",
      "-0.015596166496808282\n",
      "0.01308902795577781\n",
      "-0.011686484495882915\n",
      "0.00836644442073914\n",
      "0.005302268066519335\n",
      "0.018206149426255907\n",
      "0.009427777005584271\n",
      "-0.023880836095461634\n",
      "0.014504865863216136\n",
      "-0.017029957731261515\n",
      "-0.016569692132880565\n",
      "-0.004767471781763604\n",
      "0.02256925651504063\n",
      "-0.015576545804725537\n",
      "0.013113406728335124\n",
      "-0.011636049107632898\n",
      "0.008262453590294648\n",
      "0.005282240708287933\n",
      "0.01816297099967308\n",
      "0.009460431018991177\n",
      "-0.023918802297094907\n",
      "0.014524901667573227\n",
      "-0.017005067429935884\n",
      "-0.01658742890392328\n",
      "-0.004710188508815993\n",
      "0.022556130586544692\n",
      "-0.01555715252245731\n",
      "0.013137566278396169\n",
      "-0.011586281638616708\n",
      "0.008160245189109995\n",
      "0.005263158734795894\n",
      "0.018120492347352128\n",
      "0.00949216587039257\n",
      "-0.023956070153040104\n",
      "0.014544696071929968\n",
      "-0.01698041972277332\n",
      "-0.016605219603858763\n",
      "-0.004654556788332735\n",
      "0.022542964187895486\n",
      "-0.015537983954142796\n",
      "0.013161499630835568\n",
      "-0.01153717030113709\n",
      "0.008059780675831067\n",
      "0.005244990469647373\n",
      "0.018078706882200743\n",
      "0.009523009105001331\n",
      "-0.023992655690526266\n",
      "0.014564252184682089\n",
      "-0.01695602066861352\n",
      "-0.016623048535674922\n",
      "-0.004600527324083003\n",
      "0.02252976332168826\n",
      "-0.015519037510266965\n",
      "0.01318520040174002\n",
      "-0.011488703609492262\n",
      "0.007961022481843322\n",
      "0.005227705355488789\n",
      "0.018037607819741876\n",
      "0.00955298733741302\n",
      "-0.024028574444558703\n",
      "0.014583572997628509\n",
      "-0.016931875770294823\n",
      "-0.0166409008572607\n",
      "-0.004548052395227873\n",
      "0.02251653382462658\n",
      "-0.015500310699757013\n",
      "0.013208662767554474\n",
      "-0.011440870369793726\n",
      "0.007863933983544614\n",
      "0.005211273910668607\n",
      "0.017997188197144732\n",
      "0.009582126285751908\n",
      "-0.024063841477277182\n",
      "0.014602661394060197\n",
      "-0.016907990004119758\n",
      "-0.016658762543041924\n",
      "-0.004497085803104862\n",
      "0.022503281367872642\n",
      "-0.015481801122583173\n",
      "0.013231881435689407\n",
      "-0.011393659670150545\n",
      "0.007768479475507691\n",
      "0.005195667687712869\n",
      "0.017957440891188885\n",
      "0.009610450804517638\n",
      "-0.024098471396434628\n",
      "0.014621520156344603\n",
      "-0.016884367847916727\n",
      "-0.01667662034724957\n",
      "-0.004447582819874229\n",
      "0.022490011457684346\n",
      "-0.01546350646283637\n",
      "0.013254851616521096\n",
      "-0.011347060871208424\n",
      "0.007674624144500172\n",
      "0.005180859233535382\n",
      "0.01791835863521295\n",
      "0.009637984916182151\n",
      "-0.02413247837303965\n",
      "0.014640151973033024\n",
      "-0.016861013307763534\n",
      "-0.016694461768752424\n",
      "-0.004399500138960982\n",
      "0.02247672943631392\n",
      "-0.015445424482256614\n",
      "0.01327756899671977\n",
      "-0.011301063597031782\n",
      "0.007582334044330803\n",
      "0.005166822051305544\n",
      "0.017879934035097335\n",
      "0.009664751841584501\n",
      "-0.024165876158203613\n",
      "0.014658559445516773\n",
      "-0.016837929943435498\n",
      "-0.016712275017388707\n",
      "-0.004352795827228878\n",
      "0.02246344048314459\n",
      "-0.015427553014187087\n",
      "0.013300029713843595\n",
      "-0.011255657726317576\n",
      "0.007491576071492272\n",
      "0.0051535305639001374\n",
      "0.017842159584328082\n",
      "0.009690774029169463\n",
      "-0.02419867809923115\n",
      "0.014676745094256996\n",
      "-0.01681512089263776\n",
      "-0.01673004898173416\n",
      "-0.0043074292788248545\n",
      "0.02245014961604349\n",
      "-0.015409889957930443\n",
      "0.013322230332139617\n",
      "-0.011210833383929713\n",
      "0.00740231794157199\n",
      "0.005140960078869048\n",
      "0.017805027678186945\n",
      "0.009716073183114125\n",
      "-0.024230897154990966\n",
      "0.014694711364611516\n",
      "-0.016792588894078756\n",
      "-0.01674777319824641\n",
      "-0.004263361170634659\n",
      "0.022436861692910176\n",
      "-0.015392433273484652\n",
      "0.013344167819495283\n",
      "-0.011166580932743277\n",
      "0.007314528166403433\n",
      "0.005129086754848069\n",
      "0.0177685306271106\n",
      "0.009740670290385126\n",
      "-0.024262545910601632\n",
      "0.014712460632281096\n",
      "-0.016770336309438857\n",
      "-0.01676543782172812\n",
      "-0.0042205534192922695\n",
      "0.02242358141340195\n",
      "-0.015375180976637091\n",
      "0.01336583952548709\n",
      "-0.01112289096578796\n",
      "0.0072281760319317795\n",
      "0.005117887569354998\n",
      "0.01773266066926013\n",
      "0.009764585646767347\n",
      "-0.0242936365914658\n",
      "0.014729995208396374\n",
      "-0.01674836514428592\n",
      "-0.016783033597053663\n",
      "-0.004178969139688058\n",
      "0.022410313320817946\n",
      "-0.015358131134396515\n",
      "0.013387243160475282\n",
      "-0.011079754298680473\n",
      "0.007143231576768634\n",
      "0.005107340287908374\n",
      "0.017697409982339787\n",
      "0.009787838881903672\n",
      "-0.02432418107668406\n",
      "0.014747317344265525\n",
      "-0.016726677067986816\n",
      "-0.016800551832106367\n",
      "-0.0041385726049223345\n",
      "0.0223970618041256\n",
      "-0.015341281860743676\n",
      "0.01340837677569596\n",
      "-0.011037161962335913\n",
      "0.0070596655714115246\n",
      "0.005097423434410793\n",
      "0.017662770694702585\n",
      "0.00981044898338356\n",
      "-0.024354190911878328\n",
      "0.014764429235802014\n",
      "-0.016705273432661757\n",
      "-0.01681798437187558\n",
      "-0.004099329207652827\n",
      "0.022383831100114136\n",
      "-0.01532463131268214\n",
      "0.013429238744304276\n",
      "-0.010995105195948275\n",
      "0.006977449498105032\n",
      "0.005088116262741598\n",
      "0.017628734895778337\n",
      "0.009832434319917214\n",
      "-0.024383677321453218\n",
      "0.014781333027650473\n",
      "-0.016684155291226088\n",
      "-0.016835323573664903\n",
      "-0.0040612054227867215\n",
      "0.022370625295660546\n",
      "-0.015308177686572057\n",
      "0.013449827743324592\n",
      "-0.010953575440230822\n",
      "0.006896555531321171\n",
      "0.005079398729506181\n",
      "0.017595294645858114\n",
      "0.009853812663630234\n",
      "-0.02441265122032212\n",
      "0.01479803081702806\n",
      "-0.016663323414562024\n",
      "-0.016852562283364913\n",
      "-0.0040241687714692624\n",
      "0.022357448330094926\n",
      "-0.015291919214730212\n",
      "0.013470142736465412\n",
      "-0.010912564330906932\n",
      "0.006816956518837541\n",
      "0.00507125146789163\n",
      "0.01756244198526767\n",
      "0.009874601211512755\n",
      "-0.024441123225123706\n",
      "0.01481452465729771\n",
      "-0.016642778307860914\n",
      "-0.016869693812745667\n",
      "-0.003988187786322929\n",
      "0.02234430399765268\n",
      "-0.01527585416228083\n",
      "0.013490182957759108\n",
      "-0.010872063692442566\n",
      "0.0067386259633927725\n",
      "0.0050636557625807176\n",
      "0.017530168942960764\n",
      "0.009894816606055514\n",
      "-0.024469103664952946\n",
      "0.014830816561288875\n",
      "-0.01662252022617452\n",
      "-0.016886711917726165\n",
      "-0.003953231977892733\n",
      "0.022331195950002103\n",
      "-0.015259980824242146\n",
      "0.01350994789598807\n",
      "-0.010832065532011716\n",
      "0.006661538004899253\n",
      "0.005056593525678387\n",
      "0.01749846754456193\n",
      "0.00991447495510421\n",
      "-0.024496602591629807\n",
      "0.014846908504380418\n",
      "-0.016602549189212286\n",
      "-0.016903610777579566\n",
      "-0.0039192718022546804\n",
      "0.022318127698836718\n",
      "-0.015244297522834778\n",
      "0.013529437279860968\n",
      "-0.010792562033686426\n",
      "0.006585667403194407\n",
      "0.005050047273607148\n",
      "0.017467329819886787\n",
      "0.009933591850962193\n",
      "-0.02452362978952746\n",
      "0.014862802427359835\n",
      "-0.01658286499541961\n",
      "-0.016920384975034963\n",
      "-0.0038862786297461354\n",
      "0.022305102618522393\n",
      "-0.015228802604998407\n",
      "0.013548651063904222\n",
      "-0.010753545552843092\n",
      "0.006510989521311877\n",
      "0.005044000104929553\n",
      "0.01743674780996688\n",
      "0.00995218238877054\n",
      "-0.024550194784980814\n",
      "0.014878500239071966\n",
      "-0.01656346723537047\n",
      "-0.016937029477237752\n",
      "-0.0038542247147782004\n",
      "0.02229212394879015\n",
      "-0.015213494440104202\n",
      "0.013567589415035705\n",
      "-0.010715008610777383\n",
      "0.006437480309255371\n",
      "0.005038435679057996\n",
      "0.017406713573604436\n",
      "0.009970261184193328\n",
      "-0.024576306855295074\n",
      "0.014894003818869867\n",
      "-0.01654435530450646\n",
      "-0.016953539617532643\n",
      "-0.0038230831666916454\n",
      "0.02227919479746616\n",
      "-0.015198371417850976\n",
      "0.013586252699788977\n",
      "-0.010676943889519933\n",
      "0.00636511628825798\n",
      "0.005033338195813863\n",
      "0.017377219193481647\n",
      "0.009987842390434862\n",
      "-0.024601975037373162\n",
      "0.014909315018879717\n",
      "-0.016525528415252493\n",
      "-0.01696991107803443\n",
      "-0.0037928279216193255\n",
      "0.02226631814323099\n",
      "-0.01518343194633365\n",
      "0.013604641472157968\n",
      "-0.010639344226845397\n",
      "0.00629387453551087\n",
      "0.0050286923757996505\n",
      "0.01734825678184753\n",
      "0.01000493971461473\n",
      "-0.024627208135979784\n",
      "0.014924435666091137\n",
      "-0.016506985608538288\n",
      "-0.016986139872953495\n",
      "-0.0037634337153193767\n",
      "0.022253496838401048\n",
      "-0.015168674450273334\n",
      "0.013622756462033443\n",
      "-0.01060220261146789\n",
      "0.006223732669345613\n",
      "0.005024483441549481\n",
      "0.01731981848580463\n",
      "0.01002156643352537\n",
      "-0.02465201473165917\n",
      "0.014939367564283613\n",
      "-0.016488725764753073\n",
      "-0.017002222332644094\n",
      "-0.0037348760569446975\n",
      "0.022240733611725357\n",
      "-0.01515409736939883\n",
      "0.013640598564203733\n",
      "-0.010565512178415584\n",
      "0.0061546688348551115\n",
      "0.005020697099424911\n",
      "0.017291896492216602\n",
      "0.010037735408796045\n",
      "-0.024676403188322506\n",
      "0.014954112495799145\n",
      "-0.016470747614160067\n",
      "-0.017018155088344884\n",
      "-0.0037071312037155048\n",
      "0.02222803107119161\n",
      "-0.0151396991569699\n",
      "0.013658168827893771\n",
      "-0.010529266204578005\n",
      "0.006086661689938698\n",
      "0.00501731952222441\n",
      "0.01726448303225683\n",
      "0.010053459101486131\n",
      "-0.02470038166052042\n",
      "0.01496867222317072\n",
      "-0.016453049746795727\n",
      "-0.017033935057582623\n",
      "-0.0036801761364629337\n",
      "0.022215391706835806\n",
      "-0.015125478278433187\n",
      "0.013675468446817392\n",
      "-0.01049345810441934\n",
      "0.006019690391757189\n",
      "0.005014337332476322\n",
      "0.017237570385617098\n",
      "0.0100687495861297\n",
      "-0.02472395810041521\n",
      "0.014983048490615783\n",
      "-0.01643563062187781\n",
      "-0.01704955943021082\n",
      "-0.0036539885360127944\n",
      "0.02220281789355023\n",
      "-0.015111433210202146\n",
      "0.013692498749719175\n",
      "-0.01045808142585166\n",
      "0.005953734583584884\n",
      "0.0050117375863865275\n",
      "0.01721115088439471\n",
      "0.010083618564252666\n",
      "-0.02474714026446643\n",
      "0.014997243025403154\n",
      "-0.01641848857674498\n",
      "-0.01706502565505669\n",
      "-0.003628546760379713\n",
      "0.02219031189388512\n",
      "-0.015097562438552956\n",
      "0.013709261191383201\n",
      "-0.010423129846261805\n",
      "0.005888774382045103\n",
      "0.005009507758413197\n",
      "0.017185216916675208\n",
      "0.010098077377382813\n",
      "-0.024769935719843223\n",
      "0.015011257539101664\n",
      "-0.016401621835349944\n",
      "-0.01708033142715052\n",
      "-0.0036038298227429482\n",
      "0.022177875860839497\n",
      "-0.015083864458628507\n",
      "0.013725757344087078\n",
      "-0.010388597168686264\n",
      "0.005824790364717153\n",
      "0.00500763572644232\n",
      "0.017159760929827406\n",
      "0.01011213701957229\n",
      "-0.024792351850575836\n",
      "0.015025093728718108\n",
      "-0.016385028516326658\n",
      "-0.017095474675512947\n",
      "-0.0035798173701762034\n",
      "0.022165511840637277\n",
      "-0.015070337773543382\n",
      "0.01374198888948059\n",
      "-0.01035447731812824\n",
      "0.005761763558102543\n",
      "0.005006109757538948\n",
      "0.017134775433526265\n",
      "0.010125808149451423\n",
      "-0.024814395863458256\n",
      "0.015038753277731826\n",
      "-0.01636870664065167\n",
      "-0.01711045355147647\n",
      "-0.003556489663104772\n",
      "0.022153221775484986\n",
      "-0.015056980893582855\n",
      "0.013757957610869325\n",
      "-0.010320764338011584\n",
      "0.005699675425938848\n",
      "0.005004918494249959\n",
      "0.01711025300251873\n",
      "0.010139101101831905\n",
      "-0.024836074793713282\n",
      "0.015052237857032708\n",
      "-0.016352654138918378\n",
      "-0.017125266417518558\n",
      "-0.0035338275554642855\n",
      "0.022141007506307778\n",
      "-0.01504379233548946\n",
      "0.013773665385884527\n",
      "-0.010287452386766203\n",
      "0.005638507857850198\n",
      "0.005004050941435495\n",
      "0.01708618627914663\n",
      "0.01015202589887679\n",
      "-0.024857395510430896\n",
      "0.015065549125769209\n",
      "-0.016336868858242214\n",
      "-0.017139911836584795\n",
      "-0.0035118124755362627\n",
      "0.022128870775460694\n",
      "-0.01503077062183098\n",
      "0.013789114179521183\n",
      "-0.010254535734539955\n",
      "0.005578243158323514\n",
      "0.005003496453607108\n",
      "0.01706256797564028\n",
      "0.010164592260854033\n",
      "-0.02487836472179015\n",
      "0.015078688732112391\n",
      "-0.016321348568814082\n",
      "-0.017154388561881093\n",
      "-0.0034904264074365576\n",
      "0.022116813229412568\n",
      "-0.01501791428044417\n",
      "0.013804306037527412\n",
      "-0.010222008760032097\n",
      "0.005518864036000219\n",
      "0.005003244722751541\n",
      "0.017039390876195572\n",
      "0.010176809616489564\n",
      "-0.024898988980074296\n",
      "0.015091658313941825\n",
      "-0.016306090970118384\n",
      "-0.01716869552711536\n",
      "-0.003469651873233676\n",
      "0.022104836421399977\n",
      "-0.015005221843948638\n",
      "0.013819243080128692\n",
      "-0.010189865947443562\n",
      "0.005460353593273304\n",
      "0.005003285766620103\n",
      "0.017016647838846887\n",
      "0.01018868711293546\n",
      "-0.02491927468648862\n",
      "0.015104459499458768\n",
      "-0.016291093696831287\n",
      "-0.01718283183716927\n",
      "-0.003449471915674722\n",
      "0.02209294181404918\n",
      "-0.014992691849325883\n",
      "0.013833927496071458\n",
      "-0.010158101883539501\n",
      "0.005402695316180298\n",
      "0.005003609917464529\n",
      "0.01699433179714735\n",
      "0.01020023362536799\n",
      "-0.02493922809578962\n",
      "0.015117093907731796\n",
      "-0.016276354324414228\n",
      "-0.017196796759182138\n",
      "-0.0034298700814975533\n",
      "0.022081130781963977\n",
      "-0.01498032283755858\n",
      "0.013848361536971245\n",
      "-0.010126711254819804\n",
      "0.005345873064582602\n",
      "0.005004207811200866\n",
      "0.016972435761667643\n",
      "0.010211457766229826\n",
      "-0.02495885532073416\n",
      "0.015129563149179648\n",
      "-0.01626187037441687\n",
      "-0.017210589714029258\n",
      "-0.0034108304053085386\n",
      "0.02206940461427777\n",
      "-0.014968113353325636\n",
      "0.013862547511951132\n",
      "-0.010095688844793132\n",
      "0.005289871062622468\n",
      "0.005005070376983846\n",
      "0.01695095282132379\n",
      "0.010222367894130127\n",
      "-0.024978162336356486\n",
      "0.015141868825995978\n",
      "-0.01624763931950312\n",
      "-0.017224210268177977\n",
      "-0.00339233739400597\n",
      "0.02205776451716829\n",
      "-0.014956061944748623\n",
      "0.013876487782557081\n",
      "-0.010065029531350718\n",
      "0.005234673889448701\n",
      "0.005006188827175041\n",
      "0.01692987614454389\n",
      "0.010232972122415718\n",
      "-0.02499715498408081\n",
      "0.015154012532520146\n",
      "-0.0162336585882132\n",
      "-0.01723765812590552\n",
      "-0.003374376011729962\n",
      "0.02204621161633363\n",
      "-0.014944167163185694\n",
      "0.013890184757937175\n",
      "-0.010034728284235737\n",
      "0.00518026647020299\n",
      "0.005007554647688651\n",
      "0.016909198980283428\n",
      "0.010243278327426011\n",
      "-0.025015838975676767\n",
      "0.015165995855558247\n",
      "-0.016219925569474124\n",
      "-0.017250933121863096\n",
      "-0.0033569316653203076\n",
      "0.022034746959428343\n",
      "-0.014932427563069107\n",
      "0.013903640890272484\n",
      "-0.010004780162604626\n",
      "0.005126634067258569\n",
      "0.005009159588699611\n",
      "0.016888914658897976\n",
      "0.010253294156443785\n",
      "-0.025034219897064586\n",
      "0.015177820374658072\n",
      "-0.016206437616870416\n",
      "-0.01726403521397165\n",
      "-0.0033399901902645213\n",
      "0.022023371518458682\n",
      "-0.014920841701782837\n",
      "0.013916858670447868\n",
      "-0.009975180312676628\n",
      "0.005073762271703554\n",
      "0.005010995655699272\n",
      "0.016869016592882074\n",
      "0.010263027035353669\n",
      "-0.02505230321197668\n",
      "0.015189487662341652\n",
      "-0.016193192052686354\n",
      "-0.01727696447663507\n",
      "-0.0033235378371187997\n",
      "0.02201208619213601\n",
      "-0.014909408139576917\n",
      "0.013929840623951402\n",
      "-0.009945923965468199\n",
      "0.005021636995061455\n",
      "0.00501305510088465\n",
      "0.016849498277482274\n",
      "0.010272484176019446\n",
      "-0.025070094265481895\n",
      "0.015200999284298697\n",
      "-0.016180186171730466\n",
      "-0.017289721094257433\n",
      "-0.0033075612583853835\n",
      "0.022000891808187675\n",
      "-0.014898125439515362\n",
      "0.013942589306991809\n",
      "-0.00991700643460871\n",
      "0.004970244461241434\n",
      "0.005015330414867752\n",
      "0.016830353291192063\n",
      "0.01028167258339103\n",
      "-0.025087598287378422\n",
      "0.015212356799544113\n",
      "-0.01616741724495254\n",
      "-0.01730230535505124\n",
      "-0.003292047495830279\n",
      "0.021989789125624836\n",
      "-0.014886992167454791\n",
      "0.013955107302823646\n",
      "-0.009888423114234414\n",
      "0.004919571198711516\n",
      "0.00501781431869208\n",
      "0.01681157529613613\n",
      "0.010290599062351509\n",
      "-0.02510482039546109\n",
      "0.015223561760542594\n",
      "-0.016154882522862995\n",
      "-0.017314717645124295\n",
      "-0.0032769839682260235\n",
      "0.021978778836966587\n",
      "-0.014876006892050922\n",
      "0.01396739721827055\n",
      "-0.009860169476957446\n",
      "0.004869604032887773\n",
      "0.005020499756143987\n",
      "0.016793158038350752\n",
      "0.01029927022431427\n",
      "-0.025121765598668466\n",
      "0.015234615713303012\n",
      "-0.016142579238763898\n",
      "-0.017326958442833395\n",
      "-0.0032623584595045307\n",
      "0.021967861570420154\n",
      "-0.014865168184790356\n",
      "0.01397946168043714\n",
      "-0.009832241071906868\n",
      "0.004820330078733101\n",
      "0.005023379886347141\n",
      "0.016775095347967065\n",
      "0.010307692493579679\n",
      "-0.02513843880011496\n",
      "0.015245520197445279\n",
      "-0.016130504611800576\n",
      "-0.017339028313393314\n",
      "-0.003248159107305795\n",
      "0.021957037892016786\n",
      "-0.01485447462004532\n",
      "0.013991303333600817\n",
      "-0.009804633522838939\n",
      "0.004771736733559103\n",
      "0.005026448076628692\n",
      "0.01675738113930331\n",
      "0.010315872113460698\n",
      "-0.025154844800012958\n",
      "0.015256276746242083\n",
      "-0.016118655849842338\n",
      "-0.01735092790373037\n",
      "-0.0032343743919085715\n",
      "0.021946308307703322\n",
      "-0.014843924775148969\n",
      "0.014002924836274923\n",
      "-0.009777342526313801\n",
      "0.004723811670025116\n",
      "0.005029697895646411\n",
      "0.01674000941087214\n",
      "0.010323815152186132\n",
      "-0.025170988298489544\n",
      "0.01526688688663783\n",
      "-0.01610703015220041\n",
      "-0.017362657937569994\n",
      "-0.0032209931255297647\n",
      "0.021935673265389106\n",
      "-0.014833517230489235\n",
      "0.014014328858435161\n",
      "-0.009750363849935904\n",
      "0.004676542829328333\n",
      "0.005033123106766387\n",
      "0.016722974245308476\n",
      "0.010331527508590163\n",
      "-0.025186873898302403\n",
      "0.015277352139246896\n",
      "-0.016095624712190865\n",
      "-0.017374219210748304\n",
      "-0.003208004441979666\n",
      "0.02192513315694847\n",
      "-0.014823250569619209\n",
      "0.014025518078901624\n",
      "-0.009723693330655708\n",
      "0.004629918414579382\n",
      "0.005036717661681372\n",
      "0.0167062698092234\n",
      "0.010339014917596246\n",
      "-0.025202506107459253\n",
      "0.01528767401833328\n",
      "-0.016084436719549854\n",
      "-0.017385612586738274\n",
      "-0.0031953977866607196\n",
      "0.02191468832017876\n",
      "-0.01481312337938219\n",
      "0.014036495182868938\n",
      "-0.009697326873130066\n",
      "0.004583926884357841\n",
      "0.005040475694260336\n",
      "0.01668989035298891\n",
      "0.01034628295550325\n",
      "-0.025217889341744706\n",
      "0.01529785403177341\n",
      "-0.01607346336270841\n",
      "-0.017396838992381043\n",
      "-0.0031831629068977524\n",
      "0.02190433904071395\n",
      "-0.014803134250049714\n",
      "0.014047262859577681\n",
      "-0.00967126044813906\n",
      "0.004538556946442282\n",
      "0.0050443915146199374\n",
      "0.016673830210458592\n",
      "0.010353337045081455\n",
      "-0.025233027927158723\n",
      "0.015307893681003977\n",
      "-0.016062701830933234\n",
      "-0.017407899413813873\n",
      "-0.0031712898425883484\n",
      "0.021894085553894257\n",
      "-0.014793281775470934\n",
      "0.014057823800120143\n",
      "-0.009645490091056962\n",
      "0.004493797551709699\n",
      "0.005048459603409473\n",
      "0.01665808379862848\n",
      "0.010360182460485546\n",
      "-0.025247926102270047\n",
      "0.015317794460956364\n",
      "-0.016052149316340233\n",
      "-0.017418794892586117\n",
      "-0.003159768917162119\n",
      "0.021883928046591762\n",
      "-0.01478356455323186\n",
      "0.014068180695374194\n",
      "-0.009620011900375147\n",
      "0.004449637888199385\n",
      "0.00505267460630069\n",
      "0.0166426456172426\n",
      "0.01036682433199174\n",
      "-0.02526258802048854\n",
      "0.015327557859979244\n",
      "-0.01604180301578667\n",
      "-0.01742952652195527\n",
      "-0.003148590728838221\n",
      "0.021873866658992526\n",
      "-0.014773981184823077\n",
      "0.014078336234059057\n",
      "-0.009594822036274896\n",
      "0.004406067375336328\n",
      "0.0050570313286746075\n",
      "0.01662751024834712\n",
      "0.010373267650565555\n",
      "-0.02527701775225949\n",
      "0.015337185359750713\n",
      "-0.01603166013264798\n",
      "-0.017440095443355293\n",
      "-0.0031377461421708665\n",
      "0.021863901486335498\n",
      "-0.014764530275814654\n",
      "0.014088293100907175\n",
      "-0.009569916719248034\n",
      "0.004363075658309437\n",
      "0.005061524730497606\n",
      "0.016612672355796988\n",
      "0.010379517272266834\n",
      "-0.02529121928718328\n",
      "0.015346678435181327\n",
      "-0.016021717878484682\n",
      "-0.017450502843029864\n",
      "-0.0031272262798727676\n",
      "0.021854032580608508\n",
      "-0.014755210436036996\n",
      "0.014098053974946583\n",
      "-0.009545292228763576\n",
      "0.004320652602600202\n",
      "0.005066149921379496\n",
      "0.016598126684718734\n",
      "0.010385577922498099\n",
      "-0.025305196536063508\n",
      "0.015356038554309281\n",
      "-0.016011973474604816\n",
      "-0.017460749948823497\n",
      "-0.003117022514907013\n",
      "0.021844259952202013\n",
      "-0.014746020279766653\n",
      "0.014107621527888511\n",
      "-0.009520944901978414\n",
      "0.004278788288657214\n",
      "0.005070902155806442\n",
      "0.016583868060932788\n",
      "0.010391454200102233\n",
      "-0.025318953332886418\n",
      "0.015365267178188815\n",
      "-0.016002424153527005\n",
      "-0.01747083802712366\n",
      "-0.0031071264628381033\n",
      "0.021834583571520797\n",
      "-0.014736958425915872\n",
      "0.014116998422615053\n",
      "-0.009496871132490366\n",
      "0.004237473006712493\n",
      "0.005075776828542059\n",
      "0.016569891390338647\n",
      "0.010397150581315174\n",
      "-0.025332493436734476\n",
      "0.015374365760772985\n",
      "-0.015993067160348852\n",
      "-0.017480768379947446\n",
      "-0.0030975299744331886\n",
      "0.02182500337055429\n",
      "-0.014728023498225131\n",
      "0.01412618731176218\n",
      "-0.009473067369131824\n",
      "0.004196697251735304\n",
      "0.005080769470190138\n",
      "0.016556191658265856\n",
      "0.010402671423579162\n",
      "-0.025345820533636893\n",
      "0.015383335748791731\n",
      "-0.01598389975402551\n",
      "-0.017490542342166616\n",
      "-0.003088225128504939\n",
      "0.021815519244405997\n",
      "-0.014719214125457646\n",
      "0.014135190836393354\n",
      "-0.009449530114802438\n",
      "0.004156451718519687\n",
      "0.005085875742912895\n",
      "0.016542763928793825\n",
      "0.010408020969221762\n",
      "-0.025358938238359423\n",
      "0.015392178581626162\n",
      "-0.015974919208562643\n",
      "-0.01750016127886494\n",
      "-0.0030792042249877666\n",
      "0.02180613105278261\n",
      "-0.014710528941595108\n",
      "0.014144011624759431\n",
      "-0.009426255925339194\n",
      "0.004116727296901693\n",
      "0.0050910914362986195\n",
      "0.01652960334404307\n",
      "0.010413203349005733\n",
      "-0.025371850096136087\n",
      "0.015400895691179915\n",
      "-0.015966122814128195\n",
      "-0.017509626582822225\n",
      "-0.0030704597782393486\n",
      "0.021796838621443267\n",
      "-0.014701966586033897\n",
      "0.014152652291140546\n",
      "-0.009403241408422462\n",
      "0.004077515067102767\n",
      "0.0050964124633732346\n",
      "0.016516705123440598\n",
      "0.010418222585554677\n",
      "-0.025384559584345105\n",
      "0.015409488501748348\n",
      "-0.015957507878086762\n",
      "-0.017518939672119534\n",
      "-0.003061984510559771\n",
      "0.021787641743609757\n",
      "-0.014693525703781041\n",
      "0.014161115434766043\n",
      "-0.009380483222516481\n",
      "0.004038806295195391\n",
      "0.0051018348567500975\n",
      "0.016504064562961798\n",
      "0.010423082596659082\n",
      "-0.025397070114131153\n",
      "0.015417958429886277\n",
      "-0.015949071725960627\n",
      "-0.017528101987860322\n",
      "-0.0030537713459208335\n",
      "0.02177854018133804\n",
      "-0.014685204945649392\n",
      "0.014169403638808564\n",
      "-0.009357978075843034\n",
      "0.00400059242868777\n",
      "0.005107354764912906\n",
      "0.016491677034351095\n",
      "0.010427787198467311\n",
      "-0.025409385031976282\n",
      "0.015426306884274939\n",
      "-0.01594081170232099\n",
      "-0.017537114992002483\n",
      "-0.003045813403898333\n",
      "0.02176953366685192\n",
      "-0.014677002968451383\n",
      "0.01417751946944864\n",
      "-0.009335722725386828\n",
      "0.003962865092224039\n",
      "0.00511296844862662\n",
      "0.016479537984323656\n",
      "0.010432340108565813\n",
      "-0.025421507621221286\n",
      "0.015434535265588788\n",
      "-0.015932725171612875\n",
      "-0.017545980165296574\n",
      "-0.0030381039938004225\n",
      "0.021760621903839397\n",
      "-0.014668918435190826\n",
      "0.014185465475006317\n",
      "-0.009313713975931469\n",
      "0.003925616083396662\n",
      "0.0051186722774716345\n",
      "0.016467642933750023\n",
      "0.010436744948952753\n",
      "-0.025433441103539713\n",
      "0.0154426449663626\n",
      "-0.015924809518917185\n",
      "-0.01755469900532552\n",
      "-0.003030636608985335\n",
      "0.021751804568712285\n",
      "-0.014660950015252344\n",
      "0.01419324418513646\n",
      "-0.009291948679124707\n",
      "0.0038888373686679686\n",
      "0.005124462726496415\n",
      "0.016455987476825733\n",
      "0.010441005248909063\n",
      "-0.0254451886403662\n",
      "0.015450637370859504\n",
      "-0.015917062150652875\n",
      "-0.0175632730246414\n",
      "-0.003023404921362049\n",
      "0.02174308131183003\n",
      "-0.014653096384587965\n",
      "0.014200858110084572\n",
      "-0.009270423732571814\n",
      "0.0038525210793975964\n",
      "0.0051303363729843995\n",
      "0.016444567280227692\n",
      "0.010445124447770678\n",
      "-0.025456753334280987\n",
      "0.01545851385494034\n",
      "-0.015909480495222478\n",
      "-0.01757170374899518\n",
      "-0.0030164027760676464\n",
      "0.021734451758687958\n",
      "-0.014645356225900488\n",
      "0.014208309740000032\n",
      "-0.009249136078956008\n",
      "0.0038166595079729745\n",
      "0.0051362898933305775\n",
      "0.01643337808225889\n",
      "0.010449105897605762\n",
      "-0.025468138230352245\n",
      "0.015466275785934751\n",
      "-0.01590206200360375\n",
      "-0.017579992715655232\n",
      "-0.0030096241863154473\n",
      "0.021725915511071045\n",
      "-0.01463772822882331\n",
      "0.014215601544303975\n",
      "-0.00922808270518484\n",
      "0.0037812451040398483\n",
      "0.005142320060023976\n",
      "0.016422415691983234\n",
      "0.01045295286580036\n",
      "-0.02547934631743796\n",
      "0.0154739245225144\n",
      "-0.015894804149890293\n",
      "-0.01758814147181085\n",
      "-0.0030030633284080016\n",
      "0.021717472148173628\n",
      "-0.014630211090096384\n",
      "0.014222735971108914\n",
      "-0.009207260641561469\n",
      "0.0037462704708301543\n",
      "0.005148423738731852\n",
      "0.016411675988351897\n",
      "0.010456668537555969\n",
      "-0.025490380529448797\n",
      "0.015481461414568689\n",
      "-0.015887704431783597\n",
      "-0.01759615157305704\n",
      "-0.0029967145369095057\n",
      "0.02170912122768581\n",
      "-0.01462280351373798\n",
      "0.01422971544668756\n",
      "-0.009186666960979913\n",
      "0.0037117283615843394\n",
      "0.005154597885481983\n",
      "0.01640115491932254\n",
      "0.010460256018302243\n",
      "-0.02550124374657347\n",
      "0.01548888780308323\n",
      "-0.01588076037103931\n",
      "-0.017604024581956944\n",
      "-0.0029905722999721547\n",
      "0.021700862286847224\n",
      "-0.014615504211212087\n",
      "0.014236542374988309\n",
      "-0.009166298778143324\n",
      "0.003677611676065718\n",
      "0.005160839543939367\n",
      "0.01639084850097288\n",
      "0.010463718336028036\n",
      "-0.025511938796468105\n",
      "0.01549620502002141\n",
      "-0.015873969513869855\n",
      "-0.017611762066678655\n",
      "-0.002984631254811249\n",
      "0.021692694843468825\n",
      "-0.014608311901591236\n",
      "0.014243219137194944\n",
      "-0.009146153248804306\n",
      "0.0036439134571640665\n",
      "0.005167145842773858\n",
      "0.016380752816609664\n",
      "0.01046705844353374\n",
      "-0.025522468455410813\n",
      "0.015503414388209189\n",
      "-0.015867329431305813\n",
      "-0.017619365599703035\n",
      "-0.002978886183324108\n",
      "0.021684618396923486\n",
      "-0.01460122531171445\n",
      "0.014249748091328342\n",
      "-0.009126227569026544\n",
      "0.003610626887586176\n",
      "0.005173513993115378\n",
      "0.01637086401587437\n",
      "0.010470279220607918\n",
      "-0.025532835449422954\n",
      "0.01551051722122351\n",
      "-0.01586083771951826\n",
      "-0.017626836756599408\n",
      "-0.00297333200784784\n",
      "0.02167663242910586\n",
      "-0.014594243176340279\n",
      "0.014256131571887931\n",
      "-0.009106518974466795\n",
      "0.0035777452866308096\n",
      "0.005179941286093566\n",
      "0.016361178313846585\n",
      "0.010473383476130945\n",
      "-0.025543042455358114\n",
      "0.015517514823284317\n",
      "-0.01585449200010402\n",
      "-0.01763417711486627\n",
      "-0.0029679637870514515\n",
      "0.02166873640536237\n",
      "-0.01458736423829474\n",
      "0.014262371889530855\n",
      "-0.009087024739676538\n",
      "0.0035452621070457963\n",
      "0.005186425090458661\n",
      "0.016351691990146192\n",
      "0.010476373950108385\n",
      "-0.025553092101960218\n",
      "0.015524408489150543\n",
      "-0.015848289920336007\n",
      "-0.017641388252834022\n",
      "-0.0029627767119576255\n",
      "0.02166092977539193\n",
      "-0.01458058724861403\n",
      "0.014268471330786845\n",
      "-0.009067742177422459\n",
      "0.0035131709319649695\n",
      "0.005192962850280824\n",
      "0.016342401388035176\n",
      "0.010479253315636719\n",
      "-0.025562986970891745\n",
      "0.015531199504020071\n",
      "-0.015842229153380284\n",
      "-0.01764847174862701\n",
      "-0.0029577661020899395\n",
      "0.021653211974118056\n",
      "-0.014573910966681931\n",
      "0.01427443215780696\n",
      "-0.009048668638025073\n",
      "0.00348146547192278\n",
      "0.005199552082724863\n",
      "0.016333302913520125\n",
      "0.010482024180803812\n",
      "-0.025572729597733157\n",
      "0.015537889143433806\n",
      "-0.01583630739848191\n",
      "-0.017655429179182305\n",
      "-0.002952927401741304\n",
      "0.021645582422532998\n",
      "-0.014567334160361834\n",
      "0.014280256608144214\n",
      "-0.009029801508714824\n",
      "0.003450139561944427\n",
      "0.005206190375897803\n",
      "0.016324393034456014\n",
      "0.010484689090526635\n",
      "-0.025582322472954742\n",
      "0.01554447867318408\n",
      "-0.01583052238112112\n",
      "-0.017662262119322626\n",
      "-0.0029482561763595413\n",
      "0.021638040528514573\n",
      "-0.014560855606123314\n",
      "0.014285946894564638\n",
      "-0.009011138213004935\n",
      "0.0034191871587094026\n",
      "0.005212875386766552\n",
      "0.016315668279652275\n",
      "0.010487250528328433\n",
      "-0.025591768042861597\n",
      "0.015550969349227308\n",
      "-0.01582487185314142\n",
      "-0.0176689721408811\n",
      "-0.002943748109046216\n",
      "0.021630585687616395\n",
      "-0.014554474089163248\n",
      "0.014291505204886874\n",
      "-0.008992676210080364\n",
      "0.0033886023377865475\n",
      "0.005219604839143207\n",
      "0.016307125237981685\n",
      "0.010489710918057596\n",
      "-0.025601068710512962\n",
      "0.015557362417601077\n",
      "-0.01581935359285141\n",
      "-0.0176755608118754\n",
      "-0.0029393989971649766\n",
      "0.021623217283831996\n",
      "-0.01454818840352139\n",
      "0.014296933701848922\n",
      "-0.008974412994202383\n",
      "0.0033583792909385323\n",
      "0.005226376521735576\n",
      "0.01629876055749284\n",
      "0.01049207262555036\n",
      "-0.02561022683661667\n",
      "0.015563659114345664\n",
      "-0.015813965405101552\n",
      "-0.017682029695729223\n",
      "-0.0029352047490557153\n",
      "0.021615934690333675\n",
      "-0.014541997352190453\n",
      "0.014302234523000397\n",
      "-0.008956346094127985\n",
      "0.003328512323493971\n",
      "0.0052331882862605116\n",
      "0.01629057094452677\n",
      "0.010494337960239358\n",
      "-0.025619244740399654\n",
      "0.015569860665430087\n",
      "-0.0158087051213374\n",
      "-0.017688380350538883\n",
      "-0.0029311613808510563\n",
      "0.021608737270186446\n",
      "-0.014535899747220667\n",
      "0.014307409780619043\n",
      "-0.008938473072543784\n",
      "0.003298995851785312\n",
      "0.005240038045617931\n",
      "0.016282553162838363\n",
      "0.010496509176710007\n",
      "-0.02562812470045532\n",
      "0.0155759682866826\n",
      "-0.01580357059963069\n",
      "-0.01769461432838301\n",
      "-0.0029272650133917973\n",
      "0.021601624377037977\n",
      "-0.01452989440981882\n",
      "0.014312461561649994\n",
      "-0.008920791525513685\n",
      "0.0032698244006506565\n",
      "0.005246923772123262\n",
      "0.01627470403272293\n",
      "0.010498588476206583\n",
      "-0.025636868955568635\n",
      "0.015581983183725756\n",
      "-0.01579855972468948\n",
      "-0.017700733174673407\n",
      "-0.0029235118692380276\n",
      "0.021594595355784875\n",
      "-0.014523980170441826\n",
      "0.01431739192766653\n",
      "-0.008903299081939951\n",
      "0.0032409926009979067\n",
      "0.005253843495796322\n",
      "0.016267020430148663\n",
      "0.010500578008089831\n",
      "-0.025645479705519617\n",
      "0.015587906551915987\n",
      "-0.015793670407848643\n",
      "-0.017706738427545318\n",
      "-0.0029198982697727135\n",
      "0.021587649543216087\n",
      "-0.01451815586888486\n",
      "0.0143222029148512\n",
      "-0.008885993403037069\n",
      "0.003212495187429369\n",
      "0.0052607953027045806\n",
      "0.01625949928589517\n",
      "0.010502479871247876\n",
      "-0.025653959111866072\n",
      "0.01559373957628767\n",
      "-0.015788900587041837\n",
      "-0.017712631617285108\n",
      "-0.0029164206323947827\n",
      "0.02158078626863393\n",
      "-0.014512420354364064\n",
      "0.01432689653399595\n",
      "-0.008868872181818057\n",
      "0.003184326995925429\n",
      "0.005267777333358957\n",
      "0.016252137584698706\n",
      "0.010504296115462029\n",
      "-0.02566230929870621\n",
      "0.015599483431501705\n",
      "-0.015784248226755997\n",
      "-0.017718414265793857\n",
      "-0.0029130754677986763\n",
      "0.02157400485445333\n",
      "-0.014506772485593938\n",
      "0.014331474770520339\n",
      "-0.00885193314259263\n",
      "0.0031564829615854744\n",
      "0.005274787781160221\n",
      "0.016244932364404344\n",
      "0.010506028742729193\n",
      "-0.02567053235342188\n",
      "0.015605139281798557\n",
      "-0.01577971131796959\n",
      "-0.017724087886085167\n",
      "-0.00290985937733762\n",
      "0.021567304616779866\n",
      "-0.014501211130859384\n",
      "0.014335939584506598\n",
      "-0.008835174040476929\n",
      "0.003128958116424666\n",
      "0.005281824890894321\n",
      "0.016237880715125518\n",
      "0.010507679708542406\n",
      "-0.025678630327402974\n",
      "0.015610708280955721\n",
      "-0.015775287878075434\n",
      "-0.017729653981815547\n",
      "-0.0029067690504677507\n",
      "0.021560684865967177\n",
      "-0.014495735168082589\n",
      "0.01434029291075068\n",
      "-0.00881859266091431\n",
      "0.003101747587225025\n",
      "0.005288886957274876\n",
      "0.016230979778411148\n",
      "0.01050925092313094\n",
      "-0.025686605236753778\n",
      "0.015616191572249534\n",
      "-0.01577097595078913\n",
      "-0.017735114046846016\n",
      "-0.002903801262270583\n",
      "0.021554144907154262\n",
      "-0.014490343484884713\n",
      "0.014344536658828205\n",
      "-0.008802186819206836\n",
      "0.0030748465934394404\n",
      "0.005295972323531203\n",
      "0.016224226746420788\n",
      "0.0105107442526615\n",
      "-0.025694459062981758\n",
      "0.015621590288421382\n",
      "-0.015766773606044084\n",
      "-0.017740469564833362\n",
      "-0.002900952871051108\n",
      "0.021547684040783208\n",
      "-0.014485034978642515\n",
      "0.014348672713174415\n",
      "-0.008785954360057092\n",
      "0.0030482504451470327\n",
      "0.0053030793800403165\n",
      "0.016217618861107886\n",
      "0.01051216152040181\n",
      "-0.02570219375366933\n",
      "0.01562690555164812\n",
      "-0.01576267893987379\n",
      "-0.01774572200884976\n",
      "-0.002898220816009201\n",
      "0.021541301563097942\n",
      "-0.01447980855653998\n",
      "0.014352702933177362\n",
      "-0.008769893157119946\n",
      "0.0030219545410586895\n",
      "0.00531020656300138\n",
      "0.016211153413411505\n",
      "0.010513504507848005\n",
      "-0.02570981122312933\n",
      "0.015632138473516726\n",
      "-0.015758690074282444\n",
      "-0.01775087284102944\n",
      "-0.0028956021149818436\n",
      "0.021534996766624428\n",
      "-0.014474663135615058\n",
      "0.014356629153283324\n",
      "-0.008754001112563971\n",
      "0.002995954366571332\n",
      "0.005317352353151113\n",
      "0.016204827742456688\n",
      "0.010514774955817024\n",
      "-0.025717313353044505\n",
      "0.015637290155003113\n",
      "-0.01575480515710447\n",
      "-0.017755923512241114\n",
      "-0.0028930938622538883\n",
      "0.02152876894063291\n",
      "-0.014469597642801573\n",
      "0.014360453183113802\n",
      "-0.008738276156642084\n",
      "0.002970245491869648\n",
      "0.005324515274518834\n",
      "0.01619863923476362\n",
      "0.010515974565505291\n",
      "-0.025724701993091723\n",
      "0.015642361686454977\n",
      "-0.01575102236185384\n",
      "-0.01776087546178494\n",
      "-0.0028906932264351334\n",
      "0.021522617371582654\n",
      "-0.014464611014966414\n",
      "0.014364176807593257\n",
      "-0.00872271624727121\n",
      "0.0029448235700740392\n",
      "0.005331693893219663\n",
      "0.01619258532346577\n",
      "0.01051710499951484\n",
      "-0.025731978961551258\n",
      "0.01564735414757867\n",
      "-0.015747339887563765\n",
      "-0.017765730117112955\n",
      "-0.0028883974484016145\n",
      "0.02151654134354968\n",
      "-0.014459702198942142\n",
      "0.014367801787086921\n",
      "-0.0087073193696206\n",
      "0.0029196843354335894\n",
      "0.005338886816284698\n",
      "0.016186663487537205\n",
      "0.010518167882848047\n",
      "-0.02573914604590164\n",
      "0.01565226860743\n",
      "-0.01574375595861761\n",
      "-0.017770488893571763\n",
      "-0.0028862038392989215\n",
      "0.021510540138638005\n",
      "-0.014454870151555005\n",
      "0.014371329857547948\n",
      "-0.008692083535708503\n",
      "0.0028948236015627527\n",
      "0.0053460926905268555\n",
      "0.01618087125102911\n",
      "0.01051916480387203\n",
      "-0.02574620500340066\n",
      "0.015657106124408803\n",
      "-0.01574026882457146\n",
      "-0.017775153194166553\n",
      "-0.0028841097786056345\n",
      "0.021504613037374828\n",
      "-0.0144501138396486\n",
      "0.014374762730673332\n",
      "-0.008677006784006985\n",
      "0.0028702372597208085\n",
      "0.005353310201441133\n",
      "0.01617520618231569\n",
      "0.010520097315253815\n",
      "-0.02575315756165273\n",
      "0.015661867746257357\n",
      "-0.015736876759969175\n",
      "-0.017779724409345245\n",
      "-0.002882112712254914\n",
      "0.021498759319090108\n",
      "-0.014445432240103194\n",
      "0.01437810209406785\n",
      "-0.008662087179054536\n",
      "0.0028459212771327807\n",
      "0.005360538072138245\n",
      "0.01616966589334956\n",
      "0.010520966934867246\n",
      "-0.025760005419163207\n",
      "0.015666554510062398\n",
      "-0.01573357806415027\n",
      "-0.017784203916802056\n",
      "-0.002880210150812328\n",
      "0.021492978262281026\n",
      "-0.014440824339850854\n",
      "0.014381349611415604\n",
      "-0.008647322811076311\n",
      "0.0028218716953508174\n",
      "0.005367775062310334\n",
      "0.016164248038926604\n",
      "0.010521775146672636\n",
      "-0.025766750245880023\n",
      "0.015671167442260707\n",
      "-0.015730371061051376\n",
      "-0.017788593081299292\n",
      "-0.0028783996677081793\n",
      "0.021487269144961806\n",
      "-0.014436289135886427\n",
      "0.014384506922658455\n",
      "-0.008632711795611652\n",
      "0.0027980846286549633\n",
      "0.0053750199672279245\n",
      "0.016158950315960503\n",
      "0.010522523401570094\n",
      "-0.025773393683722917\n",
      "0.015675707558648232\n",
      "-0.015727254099001723\n",
      "-0.017792893254506694\n",
      "-0.0028766788975225217\n",
      "0.021481631244999185\n",
      "-0.014431825635274618\n",
      "0.014387575644180908\n",
      "-0.008618252273148792\n",
      "0.002774556262492339\n",
      "0.005382271616766774\n",
      "0.01615377046276683\n",
      "0.01052321311822743\n",
      "-0.025779937347100858\n",
      "0.015680175864392586\n",
      "-0.015724225550513088\n",
      "-0.01779710577485732\n",
      "-0.0028750455343212323\n",
      "0.02147606384043413\n",
      "-0.014427432855153063\n",
      "0.014390557369000911\n",
      "-0.008603942408766366\n",
      "0.0027512828519535622\n",
      "0.0053895288744639286\n",
      "0.01614870625835689\n",
      "0.010523845683883518\n",
      "-0.025786382823417723\n",
      "0.0156845733540488\n",
      "-0.01572128381206476\n",
      "-0.0178012319674193\n",
      "-0.002873497330041467\n",
      "0.021470566209790046\n",
      "-0.014423109822731763\n",
      "0.014393453666966101\n",
      "-0.00858978039178167\n",
      "0.002728260720285747\n",
      "0.005396790636601788\n",
      "0.01614375552174122\n",
      "0.01052442245512797\n",
      "-0.02579273167356686\n",
      "0.015688901011578358\n",
      "-0.01571842730388395\n",
      "-0.017805273143782576\n",
      "-0.0028720320929249083\n",
      "0.021465137632368105\n",
      "-0.01441885557528871\n",
      "0.01439626608495504\n",
      "-0.00857576443540532\n",
      "0.002705486257440736\n",
      "0.005404055831319369\n",
      "0.016138916111242806\n",
      "0.010524944758657844\n",
      "-0.025798985432414642\n",
      "0.0156931598103713\n",
      "-0.015715654469722003\n",
      "-0.017809230601959915\n",
      "-0.0028706476859973805\n",
      "0.02145977738852976\n",
      "-0.014414669160162074\n",
      "0.014398996147083003\n",
      "-0.008561892776402258\n",
      "0.002682955918658057\n",
      "0.005411323417749819\n",
      "0.016134185923820026\n",
      "0.01052541389201232\n",
      "-0.025805145609273456\n",
      "0.015697350713271385\n",
      "-0.015712963776626947\n",
      "-0.01781310562630154\n",
      "-0.002869342025593221\n",
      "0.0214544847599672\n",
      "-0.01441054963473886\n",
      "0.014401645354911896\n",
      "-0.008548163674758757\n",
      "0.002660666223081393\n",
      "0.005418592385183377\n",
      "0.016129562894399298\n",
      "0.010525831124285921\n",
      "-0.025811213688364407\n",
      "0.01570147467260412\n",
      "-0.015710353714712594\n",
      "-0.0178168994874226\n",
      "-0.0028681130799230905\n",
      "0.021449259029961802\n",
      "-0.014406496066440271\n",
      "0.014404215187663971\n",
      "-0.008534575413355434\n",
      "0.002638613752407883\n",
      "0.0054258617522548605\n",
      "0.016125044995217417\n",
      "0.010526197696821123\n",
      "-0.025817191129270042\n",
      "0.015705532630207714\n",
      "-0.015707822796924703\n",
      "-0.01782061344214288\n",
      "-0.002866958867683806\n",
      "0.021444099483631192\n",
      "-0.014402507532703793\n",
      "0.01440670710243889\n",
      "-0.00852112629764591\n",
      "0.002616795149569322\n",
      "0.005433130566154957\n",
      "0.01612063023517354\n",
      "0.010526514823881002\n",
      "-0.02582307936737728\n",
      "0.01570952551746667\n",
      "-0.015705369558804413\n",
      "-0.017824248733438172\n",
      "-0.00286587745670888\n",
      "0.021439005408165065\n",
      "-0.014398583120962214\n",
      "0.014409122534433884\n",
      "-0.008507814655341105\n",
      "0.0025952071174444595\n",
      "0.00544039790186449\n",
      "0.016116316659190836\n",
      "0.010526783693302563\n",
      "-0.02582887981431099\n",
      "0.01571345425534813\n",
      "-0.01570299255824944\n",
      "-0.01782780659040259\n",
      "-0.0028648669626584427\n",
      "0.021433976093050304\n",
      "-0.014394721928619523\n",
      "0.01441146289716655\n",
      "-0.008494638836098918\n",
      "0.0025738464176016554\n",
      "0.005447662861410971\n",
      "0.016112102347587677\n",
      "0.010527005467131477\n",
      "-0.02583459385835834\n",
      "0.015717319754440705\n",
      "-0.01570069037527312\n",
      "-0.017831288228221404\n",
      "-0.002863925547747399\n",
      "0.02142901083028557\n",
      "-0.014390923063024015\n",
      "0.014413729582700102\n",
      "-0.008481597211219162\n",
      "0.0025527098690709955\n",
      "0.0054549245731466646\n",
      "0.016107985415458426\n",
      "0.010527181282238694\n",
      "-0.025840222864884216\n",
      "0.01572112291499579\n",
      "-0.015698461611761798\n",
      "-0.01783469484815371\n",
      "-0.002863051419510505\n",
      "0.021424108914585845\n",
      "-0.014387185641438472\n",
      "0.014415923961870684\n",
      "-0.008468688173343659\n",
      "0.0025317943471452474\n",
      "0.005462182191047477\n",
      "0.016103964012063657\n",
      "0.010527312250919754\n",
      "-0.025845768176738\n",
      "0.01572486462697126\n",
      "-0.015696304891230698\n",
      "-0.017838027637524498\n",
      "-0.0028622428296032764\n",
      "0.02141926964357713\n",
      "-0.014383508791007684\n",
      "0.014418047384516575\n",
      "-0.00845591013616126\n",
      "0.00251109678220884\n",
      "0.00546943489403205\n",
      "0.016100036320229872\n",
      "0.010527399461477125\n",
      "-0.02585123111465189\n",
      "0.01572854577007744\n",
      "-0.015694218858578607\n",
      "-0.01784128776972564\n",
      "-0.0028614980726375983\n",
      "0.02141449231798165\n",
      "-0.014379891648723348\n",
      "0.014420101179708824\n",
      "-0.008443261534117764\n",
      "0.0024906141585941343\n",
      "0.005476681885300351\n",
      "0.016096200555758503\n",
      "0.010527443978786312\n",
      "-0.025856612977630977\n",
      "0.01573216721382528\n",
      "-0.015692202179841578\n",
      "-0.01784447640422523\n",
      "-0.0028608154850509465\n",
      "0.021409776241793948\n",
      "-0.014376333361386476\n",
      "0.014422086655983296\n",
      "-0.008430740822130528\n",
      "0.002470343513464383\n",
      "0.005483922391691195\n",
      "0.01609245496684427\n",
      "0.010527446844846163\n",
      "-0.02586191504333534\n",
      "0.01573572981757664\n",
      "-0.015690253541945906\n",
      "-0.017847594686584856\n",
      "-0.002860193444008156\n",
      "0.02140512072244804\n",
      "-0.014372833085567334\n",
      "0.014424005101573717\n",
      "-0.008418346475307674\n",
      "0.0024502819357226325\n",
      "0.005491155663058024\n",
      "0.01608879783350276\n",
      "0.010527409079313972\n",
      "-0.025867138568454368\n",
      "0.01573923443059656\n",
      "-0.01568837165246058\n",
      "-0.01785064374848442\n",
      "-0.0028596303663347266\n",
      "0.021400525070976006\n",
      "-0.014369389987563125\n",
      "0.014425857784645602\n",
      "-0.008406076988671794\n",
      "0.002430426564945894\n",
      "0.00549838097166247\n",
      "0.016085227467007076\n",
      "0.010527331680025738\n",
      "-0.025872284789073503\n",
      "0.01574268189210755\n",
      "-0.015686555239349406\n",
      "-0.017853624707754038\n",
      "-0.0028591247074807448\n",
      "0.021395988602158328\n",
      "-0.014366003243353399\n",
      "0.014427645953530785\n",
      "-0.008393930876888018\n",
      "0.002410774590344017\n",
      "0.005505597611585001\n",
      "0.016081742209333675\n",
      "0.010527215623502265\n",
      "-0.02587735492103358\n",
      "0.015746073031345637\n",
      "-0.015684803050723034\n",
      "-0.01785653866841261\n",
      "-0.0028586749605143697\n",
      "0.021391510634666107\n",
      "-0.014362672038553369\n",
      "0.014429370836962377\n",
      "-0.008381906673996308\n",
      "0.002391323249742601\n",
      "0.00551280489815227\n",
      "0.016078340432617026\n",
      "0.01052706186544133\n",
      "-0.025882350160282987\n",
      "0.015749408667618207\n",
      "-0.01568311385459105\n",
      "-0.017859386720712737\n",
      "-0.0028582796551440406\n",
      "0.02138709049119563\n",
      "-0.014359395568365168\n",
      "0.014431033644309942\n",
      "-0.008370002933147965\n",
      "0.002372069828589301\n",
      "0.0055200021673805135\n",
      "0.016075020538613302\n",
      "0.01052687134119657\n",
      "-0.02588727168322282\n",
      "0.015752689610363614\n",
      "-0.015681486438614282\n",
      "-0.017862169941191518\n",
      "-0.0028579373567685223\n",
      "0.021382727498595364\n",
      "-0.014356173037527143\n",
      "0.014432635565814792\n",
      "-0.008358218226346158\n",
      "0.0023530116589830044\n",
      "0.005527188775434555\n",
      "0.016071780958172785\n",
      "0.010526644966243354\n",
      "-0.02589212064704519\n",
      "0.015755916659212287\n",
      "-0.015679919609857495\n",
      "-0.017864889392727\n",
      "-0.0028576466655538825\n",
      "0.021378420987985754\n",
      "-0.014353003660261333\n",
      "0.014434177772825102\n",
      "-0.008346551144190398\n",
      "0.0023341461187252974\n",
      "0.005534364098101934\n",
      "0.016068620150720962\n",
      "0.01052638363663218\n",
      "-0.025896898190064903\n",
      "0.015759090604049435\n",
      "-0.015678412194542656\n",
      "-0.01786754612459991\n",
      "-0.002857406215536611\n",
      "0.02137417029487202\n",
      "-0.014349886660219118\n",
      "0.014435661418030817\n",
      "-0.008335000295624943\n",
      "0.002315470630393611\n",
      "0.0055415275302816685\n",
      "0.016065536603748314\n",
      "0.0105260882294299\n",
      "-0.02590160543204462\n",
      "0.01576221222507918\n",
      "-0.01567696303780288\n",
      "-0.01787014117256022\n",
      "-0.0028572146737520622\n",
      "0.021369974759250208\n",
      "-0.014346821270425206\n",
      "0.014437087635698112\n",
      "-0.008323564307690892\n",
      "0.0022969826604355664\n",
      "0.0055486784854871995\n",
      "0.016062528832308513\n",
      "0.01052575960314921\n",
      "-0.025906243474513705\n",
      "0.0157652822928901\n",
      "-0.01567557100343721\n",
      "-0.017872675558898498\n",
      "-0.0028570707393874625\n",
      "0.021365833725706686\n",
      "-0.014343806733220008\n",
      "0.014438457541903284\n",
      "-0.008312241825282061\n",
      "0.002278679718283919\n",
      "0.005555816395363118\n",
      "0.0160595953785251\n",
      "0.01052539859816676\n",
      "-0.02591081340108087\n",
      "0.015768301568522058\n",
      "-0.015674234973666296\n",
      "-0.017875150292521513\n",
      "-0.0028569731429587035\n",
      "0.02136174654351144\n",
      "-0.014340842300200461\n",
      "0.014439772234766023\n",
      "-0.008301031510904418\n",
      "0.0022605593554917\n",
      "0.005562940709215147\n",
      "0.016056734811106456\n",
      "0.010525006037130247\n",
      "-0.025915316277740852\n",
      "0.015771270803534233\n",
      "-0.015672953848889205\n",
      "-0.01787756636903192\n",
      "-0.0028569206455102297\n",
      "0.02135771256670519\n",
      "-0.014337927232159436\n",
      "0.01444103279468179\n",
      "-0.008289932044439063\n",
      "0.0022426191648869313\n",
      "0.005570050893553161\n",
      "0.016053945724868936\n",
      "0.010524582725354814\n",
      "-0.02591975315317512\n",
      "0.015774190740074412\n",
      "-0.01567172654744137\n",
      "-0.01787992477081181\n",
      "-0.002856912037837268\n",
      "0.021353731154180745\n",
      "-0.014335060799023736\n",
      "0.014442240284553327\n",
      "-0.008278942122908696\n",
      "0.0022248567797464574\n",
      "0.005577146431646607\n",
      "0.016051226740268182\n",
      "0.010524129451209115\n",
      "-0.02592412505904695\n",
      "0.015777062110949275\n",
      "-0.01567055200535382\n",
      "-0.017882226467109765\n",
      "-0.0028569461397297963\n",
      "0.021349801669758674\n",
      "-0.014332242279790833\n",
      "0.014443395750021135\n",
      "-0.008268060460247431\n",
      "0.002207269872988567\n",
      "0.005584226823092163\n",
      "0.016048576502938373\n",
      "0.010523646986491345\n",
      "-0.025928433010290807\n",
      "0.015779885639695776\n",
      "-0.015669429176113754\n",
      "-0.017884472414131238\n",
      "-0.0028570217992375034\n",
      "0.021345923482257514\n",
      "-0.014329470962464314\n",
      "0.014444500219692792\n",
      "-0.008257285787073942\n",
      "0.0021898561563836313\n",
      "0.005591291583393108\n",
      "0.016045993683239404\n",
      "0.01052313608679556\n",
      "-0.02593267800539631\n",
      "0.015782662040653456\n",
      "-0.015668357030426672\n",
      "-0.017886663555132035\n",
      "-0.0028571378919551938\n",
      "0.021342095965558822\n",
      "-0.014326746143988245\n",
      "0.01444555470537104\n",
      "-0.008246616850467852\n",
      "0.0021726133797826735\n",
      "0.005598340243550179\n",
      "0.016043476975811814\n",
      "0.01052259749186858\n",
      "-0.025936861026686846\n",
      "0.015785392019037697\n",
      "-0.015667334555979916\n",
      "-0.017888800820514642\n",
      "-0.002857293320327917\n",
      "0.021338318498667058\n",
      "-0.014324067130180411\n",
      "0.01444656020228061\n",
      "-0.008236052413749344\n",
      "0.0021555393303631823\n",
      "0.005605372349663434\n",
      "0.016041025099139454\n",
      "0.010522031925957749\n",
      "-0.025940983040592933\n",
      "0.015788076271013772\n",
      "-0.015666360757207946\n",
      "-0.017890885127927227\n",
      "-0.002857487012975365\n",
      "0.021334590465764674\n",
      "-0.014321433235664522\n",
      "0.014447517689293574\n",
      "-0.008225591256261804\n",
      "0.0021386318318917467\n",
      "0.005612387462544901\n",
      "0.01603863679511967\n",
      "0.010521440098149868\n",
      "-0.02594504499792054\n",
      "0.015790715483771693\n",
      "-0.015665434655059235\n",
      "-0.01789291738236508\n",
      "-0.002857717924034802\n",
      "0.021330911256262523\n",
      "-0.014318843783801499\n",
      "0.014448428129153305\n",
      "-0.008215232173157637\n",
      "0.00212188874400333\n",
      "0.005619385157341641\n",
      "0.01603631082864101\n",
      "0.010520822702701493\n",
      "-0.02594904783411438\n",
      "0.015793310335601815\n",
      "-0.015664555286764956\n",
      "-0.017894898476274318\n",
      "-0.002857985032522097\n",
      "0.021327280264845722\n",
      "-0.014316298106619822\n",
      "0.014449292468696811\n",
      "-0.008204973975186972\n",
      "0.0021053079614964687\n",
      "0.005626365023168929\n",
      "0.01603404598716823\n",
      "0.010520180419360961\n",
      "-0.025952992469516368\n",
      "0.01579586149597105\n",
      "-0.0156637217056095\n",
      "-0.0178968292896577\n",
      "-0.0028582873417102536\n",
      "0.021323696891515195\n",
      "-0.01431379554474513\n",
      "0.014450111639075525\n",
      "-0.008194815488489385\n",
      "0.0020888874136442215\n",
      "0.005633326662753219\n",
      "0.016031841080334615\n",
      "0.010519513913682315\n",
      "-0.02595687980961928\n",
      "0.015798369625599717\n",
      "-0.01566293298070281\n",
      "-0.01789871069018232\n",
      "-0.002858623878524944\n",
      "0.021320160541625027\n",
      "-0.01431133544732894\n",
      "0.014450886555974388\n",
      "-0.008184755554388506\n",
      "0.002072625063520403\n",
      "0.005640269692084663\n",
      "0.01602969493954142\n",
      "0.010518823837331388\n",
      "-0.0259607107453158\n",
      "0.015800835376538973\n",
      "-0.015662188196754735\n",
      "-0.01790054353328905\n",
      "-0.0028589936929564897\n",
      "0.021316670625915815\n",
      "-0.014308917171976765\n",
      "0.014451618119829226\n",
      "-0.008174793029189407\n",
      "0.0020565189073407644\n",
      "0.005647193740078855\n",
      "0.01602760641756433\n",
      "0.010518110828384301\n",
      "-0.025964486153143\n",
      "0.0158032593922487\n",
      "-0.01566148645385123\n",
      "-0.0179023286623036\n",
      "-0.002859395857487881\n",
      "0.021313226560544178\n",
      "-0.01430654008467551\n",
      "0.014452307216042326\n",
      "-0.008164926783978852\n",
      "0.0020405669738186713\n",
      "0.005654098448247518\n",
      "0.016025574388166916\n",
      "0.010517375511618573\n",
      "-0.025968206895522383\n",
      "0.015805642307675893\n",
      "-0.015660826867232705\n",
      "-0.017904066908548982\n",
      "-0.0028598294665382936\n",
      "0.021309827767108488\n",
      "-0.014304203559720275\n",
      "0.014452954715196203\n",
      "-0.008155155704428216\n",
      "0.0020247673235350696\n",
      "0.005660983470377934\n",
      "0.016023597745720868\n",
      "0.010516618498797052\n",
      "-0.025971873820995525\n",
      "0.015807984749333426\n",
      "-0.015660208567074348\n",
      "-0.01790575909145927\n",
      "-0.0028602936359216585\n",
      "0.02130647367267113\n",
      "-0.014301906979640634\n",
      "0.014453561473265522\n",
      "-0.008145478690599142\n",
      "0.0020091180483222566\n",
      "0.0056678484722208254\n",
      "0.016021675404832954\n",
      "0.010515840388944956\n",
      "-0.025975487764455536\n",
      "0.0158102873353792\n",
      "-0.015659630698268555\n",
      "-0.01790740601869456\n",
      "-0.002860787502319866\n",
      "0.02130316370977725\n",
      "-0.014299649735126426\n",
      "0.014454128331827035\n",
      "-0.008135894656751809\n",
      "0.0019936172706612057\n",
      "0.005674693131186366\n",
      "0.01601980629997866\n",
      "0.010515041768620097\n",
      "-0.025979049547374303\n",
      "0.015812550675695543\n",
      "-0.01565909242020949\n",
      "-0.017909008486256896\n",
      "-0.0028613102227701493\n",
      "0.02129989731647033\n",
      "-0.014297431224953057\n",
      "0.014454656118267677\n",
      "-0.008126402531155806\n",
      "0.0019782631430921038\n",
      "0.005681517136048273\n",
      "0.016017989385142258\n",
      "0.010514223212176585\n",
      "-0.025982559978025663\n",
      "0.015814775371969\n",
      "-0.015658592906579772\n",
      "-0.01791056727860717\n",
      "-0.002861860974166204\n",
      "0.021296673936304446\n",
      "-0.014295250855906452\n",
      "0.014455145645990587\n",
      "-0.008117001255903582\n",
      "0.0019630538476377276\n",
      "0.005688320186655529\n",
      "0.016016223633463347\n",
      "0.0105133852820222\n",
      "-0.025986019851704616\n",
      "0.0158169620177702\n",
      "-0.015658131345139378\n",
      "-0.017912083168782754\n",
      "-0.002862438952772739\n",
      "0.021293493018353687\n",
      "-0.014293108042707628\n",
      "0.0144555977146192\n",
      "-0.008107689786726354\n",
      "0.001947987595239445\n",
      "0.005695101993651684\n",
      "0.016014508036889714\n",
      "0.010512528528869521\n",
      "-0.02598942995094257\n",
      "0.01581911119863402\n",
      "-0.01565770693751669\n",
      "-0.01791355691851585\n",
      "-0.0028630433737529153\n",
      "0.021290354017218554\n",
      "-0.014291002207936974\n",
      "0.014456013110199274\n",
      "-0.00809846709281255\n",
      "0.0019330626252054702\n",
      "0.005701862278201392\n",
      "0.01601284160583635\n",
      "0.0105116534919811\n",
      "-0.025992791045718836\n",
      "0.01582122349213984\n",
      "-0.01565731889900185\n",
      "-0.017914989278352396\n",
      "-0.0028636734707084472\n",
      "0.021287256393029596\n",
      "-0.014288932781958275\n",
      "0.014456392605398839\n",
      "-0.008089332156628624\n",
      "0.00191827720467106\n",
      "0.00570860077172412\n",
      "0.01601122336885062\n",
      "0.010510760699408797\n",
      "-0.025996103893668333\n",
      "0.015823299467991932\n",
      "-0.015656966458342202\n",
      "-0.01791638098777145\n",
      "-0.0028643284952319056\n",
      "0.021284199611448444\n",
      "-0.014286899202842493\n",
      "0.014456736959706125\n",
      "-0.008080283973742315\n",
      "0.001903629628070489\n",
      "0.005715317215634647\n",
      "0.016009652372283422\n",
      "0.01050985066822743\n",
      "-0.02599936924028562\n",
      "0.01582533968809987\n",
      "-0.015656648857540142\n",
      "-0.017917732775304944\n",
      "-0.002865007716470872\n",
      "0.021281183143666237\n",
      "-0.014284900916291412\n",
      "0.01445704691962535\n",
      "-0.008071321552648215\n",
      "0.001889118216620333\n",
      "0.005722011361090314\n",
      "0.016008127679966268\n",
      "0.010508923904762948\n",
      "-0.02600258781912537\n",
      "0.01582734470665904\n",
      "-0.015656365351653104\n",
      "-0.017919045358657744\n",
      "-0.00286571042070365\n",
      "0.021278206466399645\n",
      "-0.014282937375561085\n",
      "0.014457323218870425\n",
      "-0.0080624439145957\n",
      "0.0018747413178139495\n",
      "0.005728682968744715\n",
      "0.016006648372894165\n",
      "0.010507980904815226\n",
      "-0.026005760351999307\n",
      "0.015829315070231078\n",
      "-0.015656115208595906\n",
      "-0.017920319444827873\n",
      "-0.0028664359109261462\n",
      "0.021275269061884542\n",
      "-0.014281008041385237\n",
      "0.014457566578556503\n",
      "-0.008053650093419107\n",
      "0.0018604973049268587\n",
      "0.00573533180850779\n",
      "0.01600521354891423\n",
      "0.010507022153875667\n",
      "-0.0260088875491697\n",
      "0.015831251317824337\n",
      "-0.015655897708945283\n",
      "-0.017921555730226916\n",
      "-0.0028671835064496493\n",
      "0.021272370417867465\n",
      "-0.014279112381898587\n",
      "0.01445777770738946\n",
      "-0.008044939135370176\n",
      "0.0018463845765326662\n",
      "0.005741957659311966\n",
      "0.01600382232241989\n",
      "0.010506048127339766\n",
      "-0.026011970109539463\n",
      "0.015833153980974225\n",
      "-0.015655712145746792\n",
      "-0.01792275490080038\n",
      "-0.0028679525425091322\n",
      "0.021269510027594946\n",
      "-0.014277249872560077\n",
      "0.014457957301853173\n",
      "-0.008036310098952709\n",
      "0.0018324015560294209\n",
      "0.005748560308884305\n",
      "0.016002473824050626\n",
      "0.010505059290714719\n",
      "-0.02601500872083896\n",
      "0.01583502358382348\n",
      "-0.015655557824323922\n",
      "-0.01792391763214812\n",
      "-0.0028687423698818292\n",
      "0.021266687389800785\n",
      "-0.014275419996076238\n",
      "0.014458106046394666\n",
      "-0.008027762054759403\n",
      "0.0018185466911760557\n",
      "0.005755139553524428\n",
      "0.0160011672003972\n",
      "0.010504056099822263\n",
      "-0.026018004059809613\n",
      "0.015836860643202326\n",
      "-0.015655434062089562\n",
      "-0.017925044589644577\n",
      "-0.002869552354515754\n",
      "0.02126390200869143\n",
      "-0.014273622242324436\n",
      "0.014458224613607122\n",
      "-0.00801929408531084\n",
      "0.00180481845363874\n",
      "0.005761695197888102\n",
      "0.0159999016137121\n",
      "0.010503039000996915\n",
      "-0.026020956792384198\n",
      "0.015838665668708427\n",
      "-0.015655340188359707\n",
      "-0.01792613642855892\n",
      "-0.00287038187716793\n",
      "0.02126115339392947\n",
      "-0.014271856108276316\n",
      "0.014458313664410732\n",
      "-0.008010905284896598\n",
      "0.001791215338546804\n",
      "0.005768227054776281\n",
      "0.015998676241625348\n",
      "0.010502008431279592\n",
      "-0.026023867573864178\n",
      "0.01584043916278671\n",
      "-0.015655275544169445\n",
      "-0.017927193794174928\n",
      "-0.002871230333051957\n",
      "0.021258441060615387\n",
      "-0.014270121097921265\n",
      "0.014458373848231352\n",
      "-0.008002594759418438\n",
      "0.0017777358640582244\n",
      "0.005774734944929467\n",
      "0.015997490276865416\n",
      "0.010500964818606904\n",
      "-0.026026737049093904\n",
      "0.01584218162080891\n",
      "-0.015655239482091274\n",
      "-0.017928217321910564\n",
      "-0.0028720971314947752\n",
      "0.021255764529267595\n",
      "-0.014268416722190029\n",
      "0.014458405803177072\n",
      "-0.007994361626235567\n",
      "0.001764378570934148\n",
      "0.005781218696827278\n",
      "0.015996342926985183\n",
      "0.010499908581996129\n",
      "-0.026029565852631796\n",
      "0.01584389353115298\n",
      "-0.015655231366055646\n",
      "-0.01792920763743726\n",
      "-0.002872981695602242\n",
      "0.02125312332580096\n",
      "-0.014266742498878476\n",
      "0.01445841015621256\n",
      "-0.007986205014011916\n",
      "0.0017511420221225575\n",
      "0.005787678146493011\n",
      "0.015995233414092935\n",
      "0.01049884013172605\n",
      "-0.026032354608918663\n",
      "0.015845575375282094\n",
      "-0.015655250571173812\n",
      "-0.017930165356798766\n",
      "-0.0028738834619333733\n",
      "0.021250516981503736\n",
      "-0.014265097952571559\n",
      "0.014458387523331293\n",
      "-0.007978124062565442\n",
      "0.0017380248023505488\n",
      "0.005794113137303155\n",
      "0.015994160974588195\n",
      "0.010497759869513687\n",
      "-0.026035103932443057\n",
      "0.015847227627823538\n",
      "-0.015655296483562915\n",
      "-0.017931091086529582\n",
      "-0.0028748018801829293\n",
      "0.021247945033013055\n",
      "-0.014263482614567455\n",
      "0.014458338509725641\n",
      "-0.00797011792271937\n",
      "0.0017250255177253804\n",
      "0.005800523519801615\n",
      "0.015993124858902422\n",
      "0.010496668188687117\n",
      "-0.02603781442790387\n",
      "0.015848850756647156\n",
      "-0.015655368500173343\n",
      "-0.01793198542377287\n",
      "-0.002875736412872165\n",
      "0.021245407022289085\n",
      "-0.014261896022801954\n",
      "0.014458263709954781\n",
      "-0.007962185756155423\n",
      "0.0017121427953436445\n",
      "0.005806909151518587\n",
      "0.01599212433124435\n",
      "0.01049556547435446\n",
      "-0.026040486690370124\n",
      "0.015850445222943512\n",
      "-0.01565546602861835\n",
      "-0.017932848956397886\n",
      "-0.002876686535047458\n",
      "0.021242902496587914\n",
      "-0.014260337721773078\n",
      "0.014458163708110497\n",
      "-0.00795432673526893\n",
      "0.001699375282908869\n",
      "0.005813269896793953\n",
      "0.015991158669350074\n",
      "0.010494452103569056\n",
      "-0.02604312130543804\n",
      "0.015852011481301755\n",
      "-0.015655588487005857\n",
      "-0.017933682263116767\n",
      "-0.002877651733986667\n",
      "0.021240431008433116\n",
      "-0.01425880726246602\n",
      "0.014458039077980862\n",
      "-0.007946540043025876\n",
      "0.001686721648356919\n",
      "0.005819605626605051\n",
      "0.01599022716423757\n",
      "0.010493328445491078\n",
      "-0.02604571884938546\n",
      "0.015853549979787045\n",
      "-0.01565573530377255\n",
      "-0.017934485913600768\n",
      "-0.0028786315089129317\n",
      "0.021237992115586257\n",
      "-0.014257304202278345\n",
      "0.014457890383211776\n",
      "-0.007938824872821782\n",
      "0.0016741805794892907\n",
      "0.005825916218398702\n",
      "0.01598932911996582\n",
      "0.010492194861545541\n",
      "-0.026048279889323633\n",
      "0.015855061160017635\n",
      "-0.015655905917520113\n",
      "-0.017935260468595816\n",
      "-0.002879625370715737\n",
      "0.021235585381016234\n",
      "-0.014255828104945497\n",
      "0.014457718177466392\n",
      "-0.007931180428342444\n",
      "0.0016617507836139864\n",
      "0.005832201555927397\n",
      "0.015988463853398218\n",
      "0.010491051705576872\n",
      "-0.026050804983346453\n",
      "0.015856545457241532\n",
      "-0.015656099776853755\n",
      "-0.0179360064800374\n",
      "-0.002880632841679066\n",
      "0.0212332103728676\n",
      "-0.014254378540466689\n",
      "0.01445752300458249\n",
      "-0.007923605923426499\n",
      "0.0016494309871938984\n",
      "0.005838461529089523\n",
      "0.015987630693970373\n",
      "0.010489899324000103\n",
      "-0.026053294680677123\n",
      "0.01585800330041276\n",
      "-0.015656316340222805\n",
      "-0.017936724491164735\n",
      "-0.0028816534552163855\n",
      "0.02123086666442792\n",
      "-0.014252955085031079\n",
      "0.01445730539872771\n",
      "-0.007916100581929781\n",
      "0.0016372199355023562\n",
      "0.005844696033773513\n",
      "0.01598682898346212\n",
      "0.010488738055948759\n",
      "-0.026055749521812447\n",
      "0.01585943511226716\n",
      "-0.015656555075763592\n",
      "-0.017937415036634177\n",
      "-0.0028826867556123303\n",
      "0.021228553834094197\n",
      "-0.014251557320944417\n",
      "0.014457065884552738\n",
      "-0.007908663637591446\n",
      "0.0016251163922859086\n",
      "0.005850904971705823\n",
      "0.0159860580757737\n",
      "0.010487568233419632\n",
      "-0.026058170038664574\n",
      "0.01586084130939777\n",
      "-0.015656815461144377\n",
      "-0.017938078642631895\n",
      "-0.002883732297770867\n",
      "0.021226271465338443\n",
      "-0.014250184836555964\n",
      "0.014456804977342417\n",
      "-0.007901294333901859\n",
      "0.0016131191394339564\n",
      "0.005857088250302646\n",
      "0.015985317336706033\n",
      "0.010486390181414292\n",
      "-0.026060556754700454\n",
      "0.015862222302329726\n",
      "-0.015657096983412534\n",
      "-0.017938715826985703\n",
      "-0.002884789646969771\n",
      "0.02122401914667241\n",
      "-0.014248837226185909\n",
      "0.014456523183164828\n",
      "-0.00789399192397219\n",
      "0.0016012269766552054\n",
      "0.005863245782525232\n",
      "0.015984606143744987\n",
      "0.01048520421807771\n",
      "-0.026062910185078884\n",
      "0.015863578495594676\n",
      "-0.01565739913884374\n",
      "-0.01793932709927611\n",
      "-0.0028858583786212345\n",
      "0.021221796471611622\n",
      "-0.014247514090053157\n",
      "0.014456220999018337\n",
      "-0.007886755670405733\n",
      "0.0015894387211607707\n",
      "0.0058693774867387425\n",
      "0.015983923885849648\n",
      "0.010484010654833804\n",
      "-0.02606523083678533\n",
      "0.01586491028780472\n",
      "-0.01565772143279335\n",
      "-0.0179399129609465\n",
      "-0.0028869380780384563\n",
      "0.02121960303863863\n",
      "-0.014246215034203587\n",
      "0.01445589891297659\n",
      "-0.007879584845170907\n",
      "0.0015777532073537144\n",
      "0.005875483286574544\n",
      "0.0159832699632444\n",
      "0.010482809796518172\n",
      "-0.026067519208764413\n",
      "0.015866218071725856\n",
      "-0.015658063379549836\n",
      "-0.017940473905412476\n",
      "-0.0028880283402080327\n",
      "0.021217438451165638\n",
      "-0.014244939670438697\n",
      "0.014455557404331538\n",
      "-0.007872478729475902\n",
      "0.00156616928652493\n",
      "0.00588156311079586\n",
      "0.01598264378721481\n",
      "0.010481601941507932\n",
      "-0.026069775792050255\n",
      "0.01586750223435087\n",
      "-0.015658424502190276\n",
      "-0.017941010418170283\n",
      "-0.002889128769567976\n",
      "0.02121530231749653\n",
      "-0.01424368761624478\n",
      "0.01445519694373449\n",
      "-0.007865436613644982\n",
      "0.0015546858265552833\n",
      "0.00588761689316664\n",
      "0.015982044779907327\n",
      "0.010480387381848904\n",
      "-0.026072001069894584\n",
      "0.01586876315697176\n",
      "-0.015658804332437937\n",
      "-0.017941522976904368\n",
      "-0.002890238979791259\n",
      "0.021213194250788287\n",
      "-0.014242458494722535\n",
      "0.014454817993335128\n",
      "-0.007858457796996397\n",
      "0.0015433017116236836\n",
      "0.005893644572323631\n",
      "0.01598147237413252\n",
      "0.010479166403380036\n",
      "-0.026074195517892775\n",
      "0.01587000121525158\n",
      "-0.015659202410521857\n",
      "-0.017942012051594007\n",
      "-0.0028913585935746756\n",
      "0.02121111386901188\n",
      "-0.014241251934517155\n",
      "0.014454421006918645\n",
      "-0.007851541587721915\n",
      "0.001532015841921152\n",
      "0.0058996460916515584\n",
      "0.015980926013172022\n",
      "0.010477939285855253\n",
      "-0.02607635960410773\n",
      "0.015871216779295778\n",
      "-0.015659618285038448\n",
      "-0.017942478104618985\n",
      "-0.0028924872424329114\n",
      "0.02120906079491274\n",
      "-0.01424006756974894\n",
      "0.014454006430040913\n",
      "-0.007844687302767902\n",
      "0.001520827133370634\n",
      "0.005905621399161255\n",
      "0.015980405150588937\n",
      "0.01047670630306275\n",
      "-0.026078493789191717\n",
      "0.015872410213722935\n",
      "-0.015660051512815094\n",
      "-0.017942921590864372\n",
      "-0.002893624566497667\n",
      "0.021207034655970666\n",
      "-0.014238905039944372\n",
      "0.014453574700161705\n",
      "-0.007837894267718\n",
      "0.0015097345173524996\n",
      "0.005911570447370787\n",
      "0.01597990925004177\n",
      "0.010475467722941795\n",
      "-0.02608059852650622\n",
      "0.015873581877735007\n",
      "-0.015660501658775746\n",
      "-0.017943342957824293\n",
      "-0.0028947702143216993\n",
      "0.02120503508435941\n",
      "-0.014237763989967738\n",
      "0.01445312624677605\n",
      "-0.007831161816677285\n",
      "0.001498736940435494\n",
      "0.00591749319318938\n",
      "0.01597943778510171\n",
      "0.01047422380769709\n",
      "-0.026082674262239758\n",
      "0.015874732125186936\n",
      "-0.015660968295808434\n",
      "-0.01794374264570478\n",
      "-0.002895923842687662\n",
      "0.021203061716905877\n",
      "-0.014236644069953286\n",
      "0.014452661491543742\n",
      "-0.00782448929215803\n",
      "0.0014878333641131442\n",
      "0.005923389597804169\n",
      "0.01597899023907328\n",
      "0.010472974813910789\n",
      "-0.026084721435523775\n",
      "0.015875861304655726\n",
      "-0.015661451004634726\n",
      "-0.017944121087525616\n",
      "-0.0028970851164216043\n",
      "0.021201114195048963\n",
      "-0.014235544935237848\n",
      "0.014452180848416858\n",
      "-0.007817876044966898\n",
      "0.0014770227645454648\n",
      "0.005929259626569641\n",
      "0.015978566104818296\n",
      "0.010471720992652181\n",
      "-0.026086740478546606\n",
      "0.01587696975950894\n",
      "-0.015661949373681146\n",
      "-0.01794447870922118\n",
      "-0.002898253708210989\n",
      "0.021199192164798084\n",
      "-0.01423446624629408\n",
      "0.014451684723765576\n",
      "-0.007811321434093651\n",
      "0.0014663041323057212\n",
      "0.005935103248899691\n",
      "0.015978164884582965\n",
      "0.010470462589585122\n",
      "-0.026088731816665562\n",
      "0.01587805782797256\n",
      "-0.015662462998952402\n",
      "-0.017944815929740357\n",
      "-0.0028994292984271244\n",
      "0.021197295276691445\n",
      "-0.014233407668664195\n",
      "0.014451173516502075\n",
      "-0.007804824826601309\n",
      "0.0014556764721323232\n",
      "0.005940920438162311\n",
      "0.01597778608982823\n",
      "0.010469199845073258\n",
      "-0.026090695868517165\n",
      "0.015879125843198366\n",
      "-0.015662991483906572\n",
      "-0.017945133161145363\n",
      "-0.0029006115749519398\n",
      "0.021195423185754084\n",
      "-0.014232368872894254\n",
      "0.014450647618202648\n",
      "-0.007798385597517785\n",
      "0.0014451388026856698\n",
      "0.005946711171576735\n",
      "0.015977429241063174\n",
      "0.010467932994283112\n",
      "-0.026092633046125566\n",
      "0.01588017413333056\n",
      "-0.015663534439332084\n",
      "-0.017945430808709653\n",
      "-0.0029018002330088617\n",
      "0.02119357555145569\n",
      "-0.014231349534469043\n",
      "0.014450107413228037\n",
      "-0.007792003129728917\n",
      "0.0014346901563097143\n",
      "0.005952475430113045\n",
      "0.015977093867681466\n",
      "0.010466662267285029\n",
      "-0.02609454375500916\n",
      "0.015881203021571925\n",
      "-0.015664091483226564\n",
      "-0.017945709271014743\n",
      "-0.0029029949749978367\n",
      "0.02119175203766822\n",
      "-0.014230349333747488\n",
      "0.014449553278841993\n",
      "-0.007785676813872921\n",
      "0.0014243295787983287\n",
      "0.005958213198394161\n",
      "0.015976779507800843\n",
      "0.010465387889152132\n",
      "-0.026096428394285477\n",
      "0.01588221282624931\n",
      "-0.01566466224067746\n",
      "-0.01794596894004606\n",
      "-0.002904195510334255\n",
      "0.02118995231262338\n",
      "-0.014229367955898622\n",
      "0.01444898558532807\n",
      "-0.00777940604823624\n",
      "0.0014140561291662785\n",
      "0.00596392446460017\n",
      "0.015976485708105427\n",
      "0.010464110080057192\n",
      "-0.026098287356774327\n",
      "0.015883203860878548\n",
      "-0.015665246343744516\n",
      "-0.017946210201287765\n",
      "-0.0029054015552917897\n",
      "0.021188176048869994\n",
      "-0.014228405090838201\n",
      "0.014448404696104708\n",
      "-0.007773190238650774\n",
      "0.0014038688794246784\n",
      "0.005969609220374865\n",
      "0.015976212023691056\n",
      "0.010462829055367624\n",
      "-0.026100121029099213\n",
      "0.0158841764342287\n",
      "-0.015665843431343945\n",
      "-0.01794643343381653\n",
      "-0.002906612832848945\n",
      "0.021186422923231238\n",
      "-0.014227460433165782\n",
      "0.014447810967838594\n",
      "-0.007767028798392465\n",
      "0.0013937669143608247\n",
      "0.005975267460734548\n",
      "0.01597595801791331\n",
      "0.010461545025738483\n",
      "-0.026101929791787205\n",
      "0.015885130850385745\n",
      "-0.015666453149134382\n",
      "-0.01794663901039435\n",
      "-0.0029078290725392908\n",
      "0.021184692616761806\n",
      "-0.014226533682102473\n",
      "0.014447204750556344\n",
      "-0.00776092114808123\n",
      "0.0013837493313224522\n",
      "0.005980899183978947\n",
      "0.01597572326223842\n",
      "0.010460258197203674\n",
      "-0.026103714019367\n",
      "0.015886067408815614\n",
      "-0.015667075149404578\n",
      "-0.01794682729756024\n",
      "-0.002909050010305251\n",
      "0.021182984814705014\n",
      "-0.014225624541429243\n",
      "0.014446586387754472\n",
      "-0.0077548667155822\n",
      "0.0013738152400060916\n",
      "0.00598650439160426\n",
      "0.015975507336096807\n",
      "0.010458968771265271\n",
      "-0.026105474080465513\n",
      "0.01588698640442663\n",
      "-0.015667709090962816\n",
      "-0.017946998655721025\n",
      "-0.0029102753883553474\n",
      "0.021181299206449917\n",
      "-0.014224732719425799\n",
      "0.014445956216507766\n",
      "-0.007748864935908309\n",
      "0.0013639637622496251\n",
      "0.00599208308821821\n",
      "0.01597530982673938\n",
      "0.010457676944981072\n",
      "-0.02610721033790282\n",
      "0.015887888127631315\n",
      "-0.015668354639027927\n",
      "-0.017947153439240995\n",
      "-0.002911504955024864\n",
      "0.021179635485488325\n",
      "-0.01422385792881006\n",
      "0.014445314567575996\n",
      "-0.007742915251124129\n",
      "0.001354194031828857\n",
      "0.005997635281457109\n",
      "0.015975130329096383\n",
      "0.010456382911050433\n",
      "-0.02610892314878556\n",
      "0.01588877286440758\n",
      "-0.01566901146512206\n",
      "-0.01794729199653059\n",
      "-0.002912738464639735\n",
      "0.021177993349371906\n",
      "-0.014222999886678247\n",
      "0.014444661765508987\n",
      "-0.007737017110251022\n",
      "0.0013445051942580458\n",
      "0.00600316098190489\n",
      "0.015974968445638858\n",
      "0.010455086857898333\n",
      "-0.02611061286459883\n",
      "0.015889640896359258\n",
      "-0.01566967924696507\n",
      "-0.017947414670134065\n",
      "-0.0029139756773837104\n",
      "0.021176372499669322\n",
      "-0.01422215831444554\n",
      "0.014443998128750152\n",
      "-0.007731169969173543\n",
      "0.0013348964065942562\n",
      "0.006008660203013985\n",
      "0.015974823786242622\n",
      "0.010453788969757854\n",
      "-0.026112279831296523\n",
      "0.015890492500776086\n",
      "-0.01567035766837053\n",
      "-0.017947521796816114\n",
      "-0.0029152163591685916\n",
      "0.021174772641923287\n",
      "-0.014221332937787323\n",
      "0.014443323969738431\n",
      "-0.007725373290547074\n",
      "0.0013253668372455636\n",
      "0.0060141329610281045\n",
      "0.015974695968054734\n",
      "0.010452489426750962\n",
      "-0.026113924389390274\n",
      "0.015891327950692983\n",
      "-0.0156710464191433\n",
      "-0.017947613707647497\n",
      "-0.002916460281507533\n",
      "0.02117319348560788\n",
      "-0.014220523486581054\n",
      "0.014442639595008619\n",
      "-0.007719626543706712\n",
      "0.0013159156657829027\n",
      "0.006019579274906797\n",
      "0.015974584615362372\n",
      "0.010451188404967717\n",
      "-0.026115546874036846\n",
      "0.01589214751494876\n",
      "-0.015671745194978767\n",
      "-0.01794769072808963\n",
      "-0.0029177072213913027\n",
      "0.02117163474408578\n",
      "-0.014219729694848714\n",
      "0.014441945305290256\n",
      "-0.007713929204577348\n",
      "0.0013065420827555307\n",
      "0.006024999166251746\n",
      "0.01597448935946411\n",
      "0.01044988607654395\n",
      "-0.026117147615124223\n",
      "0.01589295145824417\n",
      "-0.01567245369736356\n",
      "-0.017947753178078167\n",
      "-0.0029189569611674233\n",
      "0.021170096134565688\n",
      "-0.014218951300699846\n",
      "0.014441241395604924\n",
      "-0.007708280755584992\n",
      "0.0012972452895101028\n",
      "0.006030392659234843\n",
      "0.01597440983854357\n",
      "0.010448582609737361\n",
      "-0.02611872693735614\n",
      "0.01589374004119937\n",
      "-0.015673171633477867\n",
      "-0.017947801372105603\n",
      "-0.0029202092884221494\n",
      "0.021168577378059807\n",
      "-0.014218188046275218\n",
      "0.01444052815536211\n",
      "-0.007702680685569229\n",
      "0.0012880244980130633\n",
      "0.006035759780527865\n",
      "0.01597434569754531\n",
      "0.010447278169002162\n",
      "-0.026120285160335405\n",
      "0.01589451352041071\n",
      "-0.01567389871609922\n",
      "-0.0179478356193028\n",
      "-0.002921463995865147\n",
      "0.02116707819934151\n",
      "-0.014217439677691042\n",
      "0.014439805868453488\n",
      "-0.007697128489696876\n",
      "0.001278878930676643\n",
      "0.006041100559233836\n",
      "0.015974296588053008\n",
      "0.010445972915062291\n",
      "-0.02612182259864572\n",
      "0.015895272148506962\n",
      "-0.015674634663507842\n",
      "-0.0179478562235196\n",
      "-0.0029227208812168865\n",
      "0.02116559832690308\n",
      "-0.014216705944983825\n",
      "0.014439074813345892\n",
      "-0.007691623669376797\n",
      "0.0012698078201879351\n",
      "0.006046415026819988\n",
      "0.0159742621681699\n",
      "0.010444667004983105\n",
      "-0.02612333956193225\n",
      "0.015896016174204882\n",
      "-0.01567537919939342\n",
      "-0.017947863483404387\n",
      "-0.002923979747098614\n",
      "0.021164137492913654\n",
      "-0.014215986602055808\n",
      "0.014438335263172722\n",
      "-0.007686165732175867\n",
      "0.0012608104093413954\n",
      "0.006051703217052227\n",
      "0.015974242102401306\n",
      "0.010443360592241794\n",
      "-0.026124836354980873\n",
      "0.015896745842364148\n",
      "-0.015676132052763355\n",
      "-0.017947857692482676\n",
      "-0.002925240400924868\n",
      "0.021162695433177347\n",
      "-0.014215281406620983\n",
      "0.014437587485823994\n",
      "-0.007680754191736034\n",
      "0.0012518859508744646\n",
      "0.006056965165931152\n",
      "0.015974236061539346\n",
      "0.010442053826796317\n",
      "-0.026126313277796086\n",
      "0.015897461394041745\n",
      "-0.01567689295785246\n",
      "-0.017947839139234686\n",
      "-0.0029265026547984686\n",
      "0.021161271887091476\n",
      "-0.014214590120151735\n",
      "0.014436831744034975\n",
      "-0.007675388567692532\n",
      "0.001243033707306276\n",
      "0.006062200911629579\n",
      "0.01597424372254974\n",
      "0.010440746855153093\n",
      "-0.026127770625677754\n",
      "0.015898163066545633\n",
      "-0.015677661654034076\n",
      "-0.017947808107172\n",
      "-0.0029277663254079324\n",
      "0.021159866597605083\n",
      "-0.014213912507826044\n",
      "0.014436068295473429\n",
      "-0.007670068385593174\n",
      "0.001234252950779407\n",
      "0.00606741049443146\n",
      "0.01597426476846068\n",
      "0.010439439820433329\n",
      "-0.02612920868929647\n",
      "0.015898851093487897\n",
      "-0.01567843788573259\n",
      "-0.01794776487491317\n",
      "-0.0029290312339271974\n",
      "0.02115847931117758\n",
      "-0.014213248338475296\n",
      "0.014435297392825498\n",
      "-0.00766479317681873\n",
      "0.001225542962904652\n",
      "0.006072593956672235\n",
      "0.01597429888825367\n",
      "0.010438132862438096\n",
      "-0.02613062775476783\n",
      "0.01589952570483725\n",
      "-0.015679221402337344\n",
      "-0.017947709716258423\n",
      "-0.0029302972059176975\n",
      "0.021157109777737625\n",
      "-0.014212597384532698\n",
      "0.014434519283880277\n",
      "-0.007659562478504406\n",
      "0.001216903034608682\n",
      "0.006077751342680582\n",
      "0.015974345776756417\n",
      "0.010436826117712125\n",
      "-0.026132028103725374\n",
      "0.015900187126970878\n",
      "-0.015680011958117857\n",
      "-0.01794764290026336\n",
      "-0.002931564071232615\n",
      "0.02115575775064225\n",
      "-0.014211959421982239\n",
      "0.01443373421161298\n",
      "-0.007654375833462341\n",
      "0.0012083324659845714\n",
      "0.006082882698721487\n",
      "0.015974405134537583\n",
      "0.010435519719606403\n",
      "-0.026133410013392464\n",
      "0.01590083558272577\n",
      "-0.01568080931214046\n",
      "-0.017947564691311705\n",
      "-0.0029328316639233654\n",
      "0.021154422986636185\n",
      "-0.014211334230308266\n",
      "0.0144329424142669\n",
      "-0.007649232790105176\n",
      "0.0011998305661450707\n",
      "0.006087988072940626\n",
      "0.01597447666780353\n",
      "0.010434213798339578\n",
      "-0.026134773756652897\n",
      "0.015901471291449386\n",
      "-0.015681613228186217\n",
      "-0.017947475349187142\n",
      "-0.0029340998221481485\n",
      "0.021153105245811453\n",
      "-0.014210721592445675\n",
      "0.014432144125433977\n",
      "-0.007644132902370668\n",
      "0.0011913966530787315\n",
      "0.006093067515310047\n",
      "0.015974560088296844\n",
      "0.010432908481058123\n",
      "-0.02613611960212045\n",
      "0.01590209446904973\n",
      "-0.015682423474670158\n",
      "-0.01794737512914417\n",
      "-0.002935368388082633\n",
      "0.02115180429156715\n",
      "-0.014210121294730583\n",
      "0.014431339574134193\n",
      "-0.007639075729647298\n",
      "0.0011830300535085314\n",
      "0.006098121077575083\n",
      "0.0159746551131968\n",
      "0.010431603891895444\n",
      "-0.02613744781420722\n",
      "0.015902705328044834\n",
      "-0.015683239824561792\n",
      "-0.01794726428197804\n",
      "-0.0029366372078326003\n",
      "0.021150519890569583\n",
      "-0.014209533126851706\n",
      "0.014430528984893607\n",
      "-0.0076340608367009045\n",
      "0.00117473010275333\n",
      "0.0061031488132025115\n",
      "0.015974761465021536\n",
      "0.010430300152029793\n",
      "-0.026138758653190926\n",
      "0.015903304077611643\n",
      "-0.015684062055306917\n",
      "-0.017947143054093753\n",
      "-0.0029379061313486044\n",
      "0.02114925181271259\n",
      "-0.014208956881802197\n",
      "0.01442971257782127\n",
      "-0.007629087793602302\n",
      "0.0011664961445917086\n",
      "0.006108150777329877\n",
      "0.01597487887153203\n",
      "0.010428997379741085\n",
      "-0.026140052375281088\n",
      "0.01590389092363434\n",
      "-0.015684889948750617\n",
      "-0.01794701168757417\n",
      "-0.0029391750123425402\n",
      "0.021147999831078144\n",
      "-0.014208392355832154\n",
      "0.014428890568684785\n",
      "-0.007624156175655892\n",
      "0.001158327531128432\n",
      "0.006113127026715993\n",
      "0.01597500706563786\n",
      "0.010427695690466669\n",
      "-0.02614132923268414\n",
      "0.015904466068752014\n",
      "-0.015685723291061604\n",
      "-0.01794687042024718\n",
      "-0.002940443708206087\n",
      "0.02114676372189725\n",
      "-0.01420783934840161\n",
      "0.014428063168984803\n",
      "-0.007619265563329241\n",
      "0.0011502236226633544\n",
      "0.006118077619692594\n",
      "0.01597514578530459\n",
      "0.01042639519685603\n",
      "-0.02614258947366746\n",
      "0.01590502971240583\n",
      "-0.015686561872657642\n",
      "-0.01794671948575197\n",
      "-0.002941712079930948\n",
      "0.02114554326451114\n",
      "-0.014207297662134166\n",
      "0.014427230586028244\n",
      "-0.007614415542183611\n",
      "0.0011421837875627023\n",
      "0.006123002616117077\n",
      "0.01597529477346287\n",
      "0.010425096008824406\n",
      "-0.026143833342622436\n",
      "0.015905582050885544\n",
      "-0.015687405488132255\n",
      "-0.01794655911360442\n",
      "-0.0029429799920309397\n",
      "0.02114433824133272\n",
      "-0.014206767102771132\n",
      "0.014426393023000344\n",
      "-0.0076096057028054425\n",
      "0.00113420740213275\n",
      "0.0061279020773263295\n",
      "0.0159754537779192\n",
      "0.01042379823360546\n",
      "-0.026145061080126437\n",
      "0.015906123277375485\n",
      "-0.015688253936182606\n",
      "-0.017946389529261548\n",
      "-0.0029442473124657777\n",
      "0.0211431484378083\n",
      "-0.014206247479126242\n",
      "0.014425550679035639\n",
      "-0.007604835640738778\n",
      "0.0011262938504958014\n",
      "0.006132776066091646\n",
      "0.015975622551268227\n",
      "0.01042250197580292\n",
      "-0.02614627292300382\n",
      "0.015906653581999976\n",
      "-0.01568910701953851\n",
      "-0.01794621095418518\n",
      "-0.002945513912566532\n",
      "0.02114197364237968\n",
      "-0.014205738603040967\n",
      "0.014424703749287702\n",
      "-0.007600104956418571\n",
      "0.0011184425244684481\n",
      "0.006137624646574632\n",
      "0.015975800850806736\n",
      "0.010421207337441259\n",
      "-0.026147469104385933\n",
      "0.01590717315186813\n",
      "-0.015689964544892597\n",
      "-0.017946023605904648\n",
      "-0.002946779666962826\n",
      "0.02114081364644649\n",
      "-0.014205240289340304\n",
      "0.014423852424997854\n",
      "-0.007595413255104972\n",
      "0.0011106528234419665\n",
      "0.006142447884284158\n",
      "0.015975988438449076\n",
      "0.010419914418015387\n",
      "-0.026148649853770172\n",
      "0.01590768217111812\n",
      "-0.01569082632283164\n",
      "-0.017945827698078686\n",
      "-0.0029480444535115715\n",
      "0.021139668244328887\n",
      "-0.014204752355789179\n",
      "0.014422996893562696\n",
      "-0.0075907601468184465\n",
      "0.0011029241542650685\n",
      "0.0061472458460343\n",
      "0.01597618508064422\n",
      "0.010418623314539459\n",
      "-0.026149815397078044\n",
      "0.015908180820960932\n",
      "-0.015691692167768955\n",
      "-0.017945623440556425\n",
      "-0.002949308153227312\n",
      "0.021138537233230448\n",
      "-0.014204274623049353\n",
      "0.014422137338600621\n",
      "-0.00758614524627581\n",
      "0.001095255931128554\n",
      "0.006152018599903198\n",
      "0.015976390548294216\n",
      "0.010417334121594752\n",
      "-0.026150965956712333\n",
      "0.015908669279723463\n",
      "-0.015692561897877887\n",
      "-0.017945411039437597\n",
      "-0.0029505706502141113\n",
      "0.021137420413201533\n",
      "-0.014203806914636916\n",
      "0.01442127394001722\n",
      "-0.007581568172827157\n",
      "0.0010876475754522004\n",
      "0.006156766215192906\n",
      "0.01597660461667418\n",
      "0.0104160469313766\n",
      "-0.026152101751613338\n",
      "0.015909147722891145\n",
      "-0.015693435335026443\n",
      "-0.01794519069713183\n",
      "-0.002951831831598928\n",
      "0.021136317587102854\n",
      "-0.014203349056880256\n",
      "0.014420406874069652\n",
      "-0.00757702855039361\n",
      "0.0010800985157736873\n",
      "0.00616148876239018\n",
      "0.015976827065353694\n",
      "0.010414761833740512\n",
      "-0.026153222997314138\n",
      "0.015909616323149984\n",
      "-0.015694312304712906\n",
      "-0.017944962612417206\n",
      "-0.0029530915874664823\n",
      "0.021135228560569402\n",
      "-0.014202900878878624\n",
      "0.014419536313429931\n",
      "-0.007572526007405952\n",
      "0.0010726081876394295\n",
      "0.0061661863131280675\n",
      "0.01597705767811966\n",
      "0.010413478916247389\n",
      "-0.026154329905995075\n",
      "0.01591007525042812\n",
      "-0.01569519263600253\n",
      "-0.01794472698049788\n",
      "-0.002954349810795516\n",
      "0.021134153141974688\n",
      "-0.014202462212461173\n",
      "0.014418662427247233\n",
      "-0.007568060176744113\n",
      "0.0010651760334974625\n",
      "0.006170858940148508\n",
      "0.015977296242900466\n",
      "0.010412198264207903\n",
      "-0.02615542268653727\n",
      "0.015910524671936713\n",
      "-0.015696076161465306\n",
      "-0.017944483993061006\n",
      "-0.0029556063973964946\n",
      "0.02113309114239532\n",
      "-0.01420203289214656\n",
      "0.014417785381209223\n",
      "-0.007563630695677447\n",
      "0.00105780150259222\n",
      "0.0061755067172656695\n",
      "0.015977542551691596\n",
      "0.010410919960726071\n",
      "-0.02615650154457529\n",
      "0.01591096475221048\n",
      "-0.01569696271711466\n",
      "-0.01794423383833278\n",
      "-0.00295686124585063\n",
      "0.021132042375575914\n",
      "-0.014201612755103048\n",
      "0.014416905337602298\n",
      "-0.007559237205805867\n",
      "0.0010504840508611666\n",
      "0.006180129719330228\n",
      "0.015977796400482504\n",
      "0.010409644086741976\n",
      "-0.026157566682548997\n",
      "0.015911395653147527\n",
      "-0.01569785214234724\n",
      "-0.017943976701133683\n",
      "-0.002958114257450274\n",
      "0.0211310066578943\n",
      "-0.01420120164110916\n",
      "0.014416022455370922\n",
      "-0.007554879353001778\n",
      "0.0010432231408333235\n",
      "0.006184728022194381\n",
      "0.015978057589184868\n",
      "0.010408370721073725\n",
      "-0.026158618299754553\n",
      "0.015911817534048786\n",
      "-0.0156987442798836\n",
      "-0.017943712762933037\n",
      "-0.0029593653361405753\n",
      "0.021129983808327077\n",
      "-0.014200799392514769\n",
      "0.014415136890175996\n",
      "-0.007550556787352796\n",
      "0.0010360182415295263\n",
      "0.00618930170267772\n",
      "0.0159783259215621\n",
      "0.010407099940458613\n",
      "-0.026159656592394546\n",
      "0.015912230551656855\n",
      "-0.015699638975709924\n",
      "-0.01794344220190263\n",
      "-0.0029606143884624383\n",
      "0.02112897364841553\n",
      "-0.01420040585420279\n",
      "0.01441424879445222\n",
      "-0.007546269163105281\n",
      "0.001028868828364564\n",
      "0.0061938508385338585\n",
      "0.0159786012051601\n",
      "0.010405831819593528\n",
      "-0.026160681753627412\n",
      "0.01591263486019437\n",
      "-0.0157005360790207\n",
      "-0.017943165192969693\n",
      "-0.002961861323496692\n",
      "0.021127976002231805\n",
      "-0.014200020873551298\n",
      "0.014413358317464615\n",
      "-0.007542016138608636\n",
      "0.0010217743830509365\n",
      "0.006198375508417852\n",
      "0.015978883251239296\n",
      "0.0104045664311746\n",
      "-0.02616169397361593\n",
      "0.01591303061140183\n",
      "-0.015701435442162258\n",
      "-0.017942881907869065\n",
      "-0.00296310605280951\n",
      "0.02112699069634554\n",
      "-0.014199644300396178\n",
      "0.014412465605364008\n",
      "-0.007537797376260358\n",
      "0.0010147343935044055\n",
      "0.006202875791854301\n",
      "0.015979171874707848\n",
      "0.010403303845936138\n",
      "-0.02616269343957508\n",
      "0.015913417954574967\n",
      "-0.015702336920577344\n",
      "-0.017942592515194613\n",
      "-0.0029643484903989522\n",
      "0.021126017559790666\n",
      "-0.01419927598699429\n",
      "0.014411570801241726\n",
      "-0.007533612542451887\n",
      "0.0010077483537511425\n",
      "0.006207351769206305\n",
      "0.01597946689405614\n",
      "0.01040204413268878\n",
      "-0.026163680335818968\n",
      "0.01591379703660154\n",
      "-0.01570324037275055\n",
      "-0.017942297180449925\n",
      "-0.002965588552642726\n",
      "0.02112505642403271\n",
      "-0.014198915787987067\n",
      "0.014410674045183314\n",
      "-0.007529461307515167\n",
      "0.0010008157638365504\n",
      "0.006211803521644991\n",
      "0.015979768131292302\n",
      "0.010400787358357038\n",
      "-0.026164654843807186\n",
      "0.015914168001997714\n",
      "-0.015704145660154593\n",
      "-0.017941996066098222\n",
      "-0.0029668261582470254\n",
      "0.021124107122936324\n",
      "-0.014198563560364653\n",
      "0.014409775474321406\n",
      "-0.007525343345669971\n",
      "0.0009939361297356805\n",
      "0.006216231131119835\n",
      "0.015980075411879048\n",
      "0.01039953358801605\n",
      "-0.026165617142190196\n",
      "0.01591453099294388\n",
      "-0.01570505264719758\n",
      "-0.0179416893316116\n",
      "-0.0029680612281964996\n",
      "0.021123169492733167\n",
      "-0.014198219163430496\n",
      "0.014408875222887734\n",
      "-0.00752125833497194\n",
      "0.0009871089632652124\n",
      "0.00622063468032964\n",
      "0.015980388564671526\n",
      "0.01039828288492773\n",
      "-0.026166567406854215\n",
      "0.015914886149320066\n",
      "-0.015705961201171105\n",
      "-0.017941377133519492\n",
      "-0.0029692936857052894\n",
      "0.021122243371990198\n",
      "-0.014197882458766414\n",
      "0.014407973422264263\n",
      "-0.007517205957261337\n",
      "0.0009803337819969836\n",
      "0.006225014252694186\n",
      "0.01598070742185631\n",
      "0.010397035310576192\n",
      "-0.02616750581096521\n",
      "0.015915233608740777\n",
      "-0.015706871192199122\n",
      "-0.017941059625456512\n",
      "-0.0029705234561691004\n",
      "0.021121328601578174\n",
      "-0.014197553310198119\n",
      "0.014407070201033517\n",
      "-0.007513185898112531\n",
      "0.0009736101091729871\n",
      "0.006229369932326505\n",
      "0.015981031818891527\n",
      "0.010395790924702573\n",
      "-0.026168432525012244\n",
      "0.01591557350658943\n",
      "-0.015707782493187807\n",
      "-0.01794073695820948\n",
      "-0.0029717504671183297\n",
      "0.02112042502464062\n",
      "-0.014197231583761285\n",
      "0.01440616568502805\n",
      "-0.00750919784678417\n",
      "0.0009669374736219032\n",
      "0.006233701804005848\n",
      "0.015981361594447987\n",
      "0.010394549785339158\n",
      "-0.026169347716850134\n",
      "0.015915905976052296\n",
      "-0.015708694979776113\n",
      "-0.01794040927976385\n",
      "-0.0029729746481721663\n",
      "0.02111953248656303\n",
      "-0.014196917147667947\n",
      "0.014405259997379105\n",
      "-0.007505241496170053\n",
      "0.0009603154096770474\n",
      "0.006238009953151221\n",
      "0.015981696590351428\n",
      "0.01039331194884293\n",
      "-0.026170251551741408\n",
      "0.01591623114815194\n",
      "-0.015709608530287265\n",
      "-0.017940076735349406\n",
      "-0.0029741959309937\n",
      "0.021118650834942465\n",
      "-0.014196609872273471\n",
      "0.014404353258564501\n",
      "-0.007501316542750653\n",
      "0.000953743457095742\n",
      "0.0062422944657955495\n",
      "0.01598203665152571\n",
      "0.010392077469928467\n",
      "-0.026171144192397567\n",
      "0.015916549151780278\n",
      "-0.01571052302568094\n",
      "-0.017939739467485304\n",
      "-0.002975414249245969\n",
      "0.02111777991955746\n",
      "-0.014196309630043926\n",
      "0.014403445586455699\n",
      "-0.0074974226865453675\n",
      "0.000947221160980117\n",
      "0.006246555428560487\n",
      "0.015982381625937132\n",
      "0.01039084640170025\n",
      "-0.026172025799019748\n",
      "0.0159168601137311\n",
      "-0.015711438349506328\n",
      "-0.01793939761602441\n",
      "-0.0029766295385489374\n",
      "0.02111691959233827\n",
      "-0.014196016295523924\n",
      "0.014402537096364099\n",
      "-0.00749355963106538\n",
      "0.0009407480716991806\n",
      "0.006250792928631704\n",
      "0.015982731364539645\n",
      "0.01038961879568437\n",
      "-0.026172896529338626\n",
      "0.01591716415873218\n",
      "-0.015712354387855964\n",
      "-0.017939051318197057\n",
      "-0.0029778417364374\n",
      "0.021116069707337433\n",
      "-0.014195729745304846\n",
      "0.014401627901086568\n",
      "-0.007489727083267209\n",
      "0.0009343237448123567\n",
      "0.006255007053734858\n",
      "0.015983085721221094\n",
      "0.010388394701859665\n",
      "-0.026173756538653774\n",
      "0.015917461409476953\n",
      "-0.01571327102932023\n",
      "-0.017938700708654044\n",
      "-0.0029790507823197867\n",
      "0.02111523012070071\n",
      "-0.014195449857993614\n",
      "0.014400718110950252\n",
      "-0.0074859247535069085\n",
      "0.000927947740994219\n",
      "0.006259197892112034\n",
      "0.0159834445527504\n",
      "0.010387174168688267\n",
      "-0.026174605979872357\n",
      "0.015917751986655685\n",
      "-0.015714188164942782\n",
      "-0.017938345919509064\n",
      "-0.002980256617437812\n",
      "0.021114400690638285\n",
      "-0.01419517651418178\n",
      "0.014399807833856583\n",
      "-0.0074821523554948624\n",
      "0.0009216196259606314\n",
      "0.006263365532498798\n",
      "0.015983807718725696\n",
      "0.010385957243145586\n",
      "-0.026175445003547144\n",
      "0.015918036008986315\n",
      "-0.01571510568817658\n",
      "-0.017937987080380493\n",
      "-0.002981459184827016\n",
      "0.021113581277396355\n",
      "-0.014194909596415131\n",
      "0.014398897175324618\n",
      "-0.007478409606251261\n",
      "0.0009153389703960131\n",
      "0.006267510064101732\n",
      "0.015984175081523368\n",
      "0.01038474397074979\n",
      "-0.026176273757914023\n",
      "0.015918313593244734\n",
      "-0.015716023494840668\n",
      "-0.017937624318432537\n",
      "-0.0029826584292781027\n",
      "0.021112771743229033\n",
      "-0.014194648989163661\n",
      "0.014397986238533611\n",
      "-0.007474696226062171\n",
      "0.0009091053498819486\n",
      "0.006271631576576516\n",
      "0.015984546506248015\n",
      "0.010383534395590673\n",
      "-0.026177092388928794\n",
      "0.015918584854294777\n",
      "-0.01571694148307776\n",
      "-0.01793725775841574\n",
      "-0.0029838542972991005\n",
      "0.021111971952370547\n",
      "-0.014194394578792012\n",
      "0.014397075124364896\n",
      "-0.007471011938436209\n",
      "0.0009029183448270111\n",
      "0.006275730160006527\n",
      "0.015984921860683305\n",
      "0.010382328560358063\n",
      "-0.026177901040303472\n",
      "0.015918849905117632\n",
      "-0.015717859553312456\n",
      "-0.01793688752270694\n",
      "-0.002985046737078349\n",
      "0.021111181771007806\n",
      "-0.01419414625353028\n",
      "0.014396163931443108\n",
      "-0.0074673564700618615\n",
      "0.0008967775403976709\n",
      "0.006279805904881903\n",
      "0.015985301015243692\n",
      "0.010381126506369647\n",
      "-0.026178699853541924\n",
      "0.015919108856841033\n",
      "-0.015718777608210163\n",
      "-0.017936513731348542\n",
      "-0.002986235698448241\n",
      "0.021110401067253245\n",
      "-0.014193903903445267\n",
      "0.014395252756176669\n",
      "-0.007463729550765333\n",
      "0.0008906825264505014\n",
      "0.006283858902079147\n",
      "0.015985683842926996\n",
      "0.010379928273598342\n",
      "-0.02617948896797497\n",
      "0.015919361818767817\n",
      "-0.015719695552636737\n",
      "-0.01793613650208728\n",
      "-0.002987421132849698\n",
      "0.021109629711118058\n",
      "-0.014193667420412115\n",
      "0.014394341692797604\n",
      "-0.0074601309134690605\n",
      "0.0008846328974654847\n",
      "0.006287889242841143\n",
      "0.01598607021926785\n",
      "0.010378733900699131\n",
      "-0.02618026852079494\n",
      "0.01591960889840425\n",
      "-0.015720613293618752\n",
      "-0.017935755950412333\n",
      "-0.002988602993297454\n",
      "0.02110886757448566\n",
      "-0.014193436698086382\n",
      "0.014393430833400745\n",
      "-0.0074565602941507395\n",
      "0.000878628252480385\n",
      "0.0062918970187577075\n",
      "0.015986460022291902\n",
      "0.01037754342503543\n",
      "-0.026181038647089618\n",
      "0.015919850201487874\n",
      "-0.01572153074030451\n",
      "-0.017935372189592874\n",
      "-0.002989781234346019\n",
      "0.02110811453108553\n",
      "-0.014193211631876453\n",
      "0.014392520267982208\n",
      "-0.007453017431802953\n",
      "0.0008726681950262828\n",
      "0.006295882321746545\n",
      "0.015986853132470943\n",
      "0.010376356882704933\n",
      "-0.026181799479875693\n",
      "0.015920085832014957\n",
      "-0.015722447803925607\n",
      "-0.017934985330715067\n",
      "-0.0029909558120563566\n",
      "0.02110737045646737\n",
      "-0.01419299211891637\n",
      "0.014391610084477298\n",
      "-0.007449502068393398\n",
      "0.0008667523330642049\n",
      "0.006299845244034688\n",
      "0.01598724943267871\n",
      "0.010375174308565042\n",
      "-0.02618255115013167\n",
      "0.01592031589226756\n",
      "-0.01572336439775922\n",
      "-0.017934595482718467\n",
      "-0.002992126683963287\n",
      "0.021106635227975554\n",
      "-0.014192778058039103\n",
      "0.01439070036879773\n",
      "-0.007446013948825573\n",
      "0.0008608802789227816\n",
      "0.0063037858781403245\n",
      "0.015987648808147594\n",
      "0.010373995736257784\n",
      "-0.026183293786830177\n",
      "0.015920540482840216\n",
      "-0.015724280437091006\n",
      "-0.01793420275243191\n",
      "-0.0029932938090435376\n",
      "0.02110590872472389\n",
      "-0.014192569349750087\n",
      "0.014389791204868236\n",
      "-0.007442552820900136\n",
      "0.0008550516492369544\n",
      "0.006307704316855119\n",
      "0.01598805114642599\n",
      "0.010372821198234303\n",
      "-0.026184027516969847\n",
      "0.01592075970266622\n",
      "-0.015725195839178596\n",
      "-0.01793380724460882\n",
      "-0.0029944571476844713\n",
      "0.021105190827570692\n",
      "-0.014192365896201266\n",
      "0.014388882674662616\n",
      "-0.007439118435276696\n",
      "0.0008492660648876764\n",
      "0.006311600653226898\n",
      "0.01598845633733651\n",
      "0.01037165072577889\n",
      "-0.02618475246560668\n",
      "0.015920973649043553\n",
      "-0.015726110523215747\n",
      "-0.01793340906196194\n",
      "-0.0029956166616534824\n",
      "0.021104481419094198\n",
      "-0.014192167601165403\n",
      "0.014387974858239075\n",
      "-0.007435710545436219\n",
      "0.0008435231509426805\n",
      "0.006315474980542761\n",
      "0.015988864272934892\n",
      "0.01037048434903256\n",
      "-0.026185468755884792\n",
      "0.015921182417660402\n",
      "-0.015727024410297056\n",
      "-0.017933008305197628\n",
      "-0.002996772314067983\n",
      "0.02110378038356821\n",
      "-0.014191974370010829\n",
      "0.014387067833775082\n",
      "-0.0074323289076438995\n",
      "0.0008378225365981874\n",
      "0.006319327392312613\n",
      "0.015989274847469634\n",
      "0.010369322097016256\n",
      "-0.026186176509066815\n",
      "0.015921386102620352\n",
      "-0.015727937423383315\n",
      "-0.01793260507304953\n",
      "-0.0029979240693660744\n",
      "0.021103087606938145\n",
      "-0.014191786109676521\n",
      "0.014386161677601579\n",
      "-0.007428973280912607\n",
      "0.0008321638551215562\n",
      "0.006323157982253037\n",
      "0.015989687957342336\n",
      "0.010368163997653538\n",
      "-0.02618687584456371\n",
      "0.015921584796467173\n",
      "-0.0157288494872674\n",
      "-0.017932199462311785\n",
      "-0.0029990718932777645\n",
      "0.021102402976797278\n",
      "-0.014191602728647569\n",
      "0.014385256464236629\n",
      "-0.007425643426966793\n",
      "0.0008265467437949284\n",
      "0.00632696684427163\n",
      "0.015990103501068786\n",
      "0.010367010077792931\n",
      "-0.02618756687996412\n",
      "0.01592177859020925\n",
      "-0.01572976052854075\n",
      "-0.01793179156787169\n",
      "-0.003000215752796837\n",
      "0.021101726382363375\n",
      "-0.014191424136930956\n",
      "0.0143843522664185\n",
      "-0.007422339110206954\n",
      "0.0008209708438597982\n",
      "0.006330754072451621\n",
      "0.015990521379240685\n",
      "0.010365860363229869\n",
      "-0.026188249731063293\n",
      "0.015921967573343705\n",
      "-0.015730670475560468\n",
      "-0.01793138148274188\n",
      "-0.003001355616153235\n",
      "0.021101057714455553\n",
      "-0.01419125024603172\n",
      "0.014383449155138185\n",
      "-0.007419060097674524\n",
      "0.0008154358004624677\n",
      "0.006334519761036911\n",
      "0.015990941494488084\n",
      "0.010364714878728169\n",
      "-0.026188924511891504\n",
      "0.01592215183388009\n",
      "-0.015731579258416863\n",
      "-0.01793096929809201\n",
      "-0.0030024914527860985\n",
      "0.021100396865471494\n",
      "-0.014191080968929501\n",
      "0.014382547199671422\n",
      "-0.007415806159017355\n",
      "0.0008099412626003657\n",
      "0.006338264004417496\n",
      "0.01599136375144248\n",
      "0.010363573648041174\n",
      "-0.026189591334741982\n",
      "0.01592233145836379\n",
      "-0.015732486808901665\n",
      "-0.017930555103279903\n",
      "-0.0030036232333172964\n",
      "0.021099743729364892\n",
      "-0.014190916220055307\n",
      "0.01438164646761009\n",
      "-0.00741257706645559\n",
      "0.0008044868830693708\n",
      "0.006341986897115147\n",
      "0.01599178805670054\n",
      "0.010362436693932496\n",
      "-0.026190250310198497\n",
      "0.015922506531899076\n",
      "-0.015733393060476678\n",
      "-0.017930138985882294\n",
      "-0.003004750929525501\n",
      "0.021099098201623204\n",
      "-0.014190755915268777\n",
      "0.014380747024893144\n",
      "-0.0074093725947480685\n",
      "0.0007990723184118154\n",
      "0.006345688533769553\n",
      "0.0159922143187885\n",
      "0.010361304038196368\n",
      "-0.02619090154716238\n",
      "0.0159226771381718\n",
      "-0.015734297948243037\n",
      "-0.017929721031725007\n",
      "-0.0030058745143208597\n",
      "0.02109846017924575\n",
      "-0.014190599971835645\n",
      "0.014379848935837025\n",
      "-0.007406192521159178\n",
      "0.0007936972288655324\n",
      "0.006349369009124705\n",
      "0.01599264244812717\n",
      "0.010360175701677648\n",
      "-0.02619154515287922\n",
      "0.015922843359471736\n",
      "-0.015735201408910927\n",
      "-0.017929301324912703\n",
      "-0.0030069939617201023\n",
      "0.021097829560722006\n",
      "-0.014190448308405617\n",
      "0.014378952263165486\n",
      "-0.0074030366254261805\n",
      "0.0007883612783135388\n",
      "0.00635302841801564\n",
      "0.01599307235699759\n",
      "0.010359051704291411\n",
      "-0.026192181232965024\n",
      "0.015923005276714662\n",
      "-0.015736103380769854\n",
      "-0.017928879947858203\n",
      "-0.003008109246822238\n",
      "0.021097206246010223\n",
      "-0.014190300844990542\n",
      "0.01437805706803903\n",
      "-0.007399904689727011\n",
      "0.0007830641342346798\n",
      "0.006356666855355531\n",
      "0.015993503959507226\n",
      "0.010357932065042246\n",
      "-0.026192809891432047\n",
      "0.01592316296946404\n",
      "-0.01573700380365943\n",
      "-0.01792845698131126\n",
      "-0.003009220345784686\n",
      "0.021096590136516328\n",
      "-0.014190157502942903\n",
      "0.014377163410083745\n",
      "-0.007396796498648502\n",
      "0.0007778054676550099\n",
      "0.00636028441612308\n",
      "0.015993937171556862\n",
      "0.010356816802043159\n",
      "-0.026193431230714163\n",
      "0.01592331651595243\n",
      "-0.015737902618940595\n",
      "-0.017928032504386952\n",
      "-0.003010327235799946\n",
      "0.021095981135073095\n",
      "-0.014190018204934629\n",
      "0.014376271347419705\n",
      "-0.007393711839155054\n",
      "0.0007725849530999732\n",
      "0.006363881195350172\n",
      "0.015994371910807978\n",
      "0.010355705932534143\n",
      "-0.02619404535169184\n",
      "0.015923465993102532\n",
      "-0.015738799769467394\n",
      "-0.017927606594593613\n",
      "-0.0030114298950727125\n",
      "0.021095379145919576\n",
      "-0.014189882874936227\n",
      "0.01437538093668888\n",
      "-0.007390650500557779\n",
      "0.0007674022685473384\n",
      "0.006367457288109908\n",
      "0.015994808096650766\n",
      "0.010354599472900386\n",
      "-0.0261946523537167\n",
      "0.015923611476547993\n",
      "-0.01573969519955919\n",
      "-0.01792717932786032\n",
      "-0.003012528302797481\n",
      "0.021094784074680822\n",
      "-0.014189751438196214\n",
      "0.014374492233082571\n",
      "-0.007387612274484048\n",
      "0.0007622570953808896\n",
      "0.006371012789504866\n",
      "0.015995245650172706\n",
      "0.010353497438690202\n",
      "-0.026195252334635696\n",
      "0.015923753040653795\n",
      "-0.01574058885497338\n",
      "-0.017926750778563923\n",
      "-0.0030136224391365987\n",
      "0.021094195828347862\n",
      "-0.014189623821220859\n",
      "0.014373605290368373\n",
      "-0.007384596954847453\n",
      "0.0007571491183449065\n",
      "0.006374547794655705\n",
      "0.01599568449412766\n",
      "0.010352399844632583\n",
      "-0.02619584539081492\n",
      "0.015923890758536452\n",
      "-0.015741480682878548\n",
      "-0.01792632101955571\n",
      "-0.003014712285198756\n",
      "0.021093614315257962\n",
      "-0.014189499951754234\n",
      "0.014372720160916706\n",
      "-0.007381604337818243\n",
      "0.0007520780254993474\n",
      "0.006378062398690016\n",
      "0.015996124552905534\n",
      "0.010351306704654435\n",
      "-0.026196431617162976\n",
      "0.015924024702083834\n",
      "-0.01574237063182809\n",
      "-0.017925890122187572\n",
      "-0.003015797823017942\n",
      "0.02109303944507511\n",
      "-0.014189379758758535\n",
      "0.014371836895726858\n",
      "-0.007378634221794124\n",
      "0.0007470435081756703\n",
      "0.0063815566967314495\n",
      "0.015996565752502523\n",
      "0.010350218031897528\n",
      "-0.02619701110715403\n",
      "0.015924154941974696\n",
      "-0.0157432586517343\n",
      "-0.01792545815633783\n",
      "-0.0030168790355328103\n",
      "0.02109247112877082\n",
      "-0.014189263172394748\n",
      "0.014370955544452614\n",
      "-0.007375686407371479\n",
      "0.0007420452609335082\n",
      "0.006385030783889135\n",
      "0.015997008020491768\n",
      "0.010349133838735116\n",
      "-0.02619758395285048\n",
      "0.015924281547697976\n",
      "-0.015744144693842877\n",
      "-0.0179250251904366\n",
      "-0.0030179559065664717\n",
      "0.02109190927860513\n",
      "-0.014189150124003515\n",
      "0.014370076155427425\n",
      "-0.007372760697317024\n",
      "0.0007370829815179116\n",
      "0.006388484755247349\n",
      "0.015997451285994654\n",
      "0.010348054136788248\n",
      "-0.02619815024492521\n",
      "0.01592440458757171\n",
      "-0.01574502871070788\n",
      "-0.017924591291490787\n",
      "-0.00301902842080668\n",
      "0.021091353808107907\n",
      "-0.014189040546086412\n",
      "0.014369198775689205\n",
      "-0.0073698568965398035\n",
      "0.000732156370817329\n",
      "0.006391918705855475\n",
      "0.015997895479652524\n",
      "0.0103469789369418\n",
      "-0.02619871007268356\n",
      "0.015924524128761733\n",
      "-0.01574591065616709\n",
      "-0.017924156525108655\n",
      "-0.0030200965637864636\n",
      "0.021090804632060367\n",
      "-0.014188934372287387\n",
      "0.014368323451004592\n",
      "-0.007366974812063652\n",
      "0.0007272651328222176\n",
      "0.006395332730718128\n",
      "0.015998340533598936\n",
      "0.010345908249360181\n",
      "-0.026199263524084936\n",
      "0.015924640237300093\n",
      "-0.01574679048531785\n",
      "-0.017923720955524036\n",
      "-0.0030211603218651163\n",
      "0.021090261666476883\n",
      "-0.014188831537374548\n",
      "0.014367450225892949\n",
      "-0.007364114252999975\n",
      "0.0007224089745843288\n",
      "0.006398726924785662\n",
      "0.015998786381432397\n",
      "0.010344842083502805\n",
      "-0.026199810685763977\n",
      "0.015924752978103134\n",
      "-0.01574766815449322\n",
      "-0.017923284645620118\n",
      "-0.003022219682209563\n",
      "0.021089724828587\n",
      "-0.0141887319772222\n",
      "0.014366579143649805\n",
      "-0.007361275030520961\n",
      "0.0007175876061766607\n",
      "0.006402101382944789\n",
      "0.015999232958189585\n",
      "0.010343780448139215\n",
      "-0.026200351643051522\n",
      "0.015924862414989367\n",
      "-0.015748543621238665\n",
      "-0.017922847656952904\n",
      "-0.003023274632776163\n",
      "0.021089194036817714\n",
      "-0.014188635628793172\n",
      "0.01436571024637001\n",
      "-0.007358456957833115\n",
      "0.0007128007406539781\n",
      "0.006405456200009531\n",
      "0.01599968020031904\n",
      "0.010342723351363976\n",
      "-0.026200886479995127\n",
      "0.01592496861069704\n",
      "-0.015749416844289037\n",
      "-0.017922410049774243\n",
      "-0.0030243251622927977\n",
      "0.021088669210776016\n",
      "-0.014188542430121368\n",
      "0.014364843574970405\n",
      "-0.0073556598501512485\n",
      "0.0007080480940139988\n",
      "0.006408791470712356\n",
      "0.016000128045655294\n",
      "0.010341670800611286\n",
      "-0.026201415279379327\n",
      "0.015925071626901443\n",
      "-0.015750287783545987\n",
      "-0.017921971883054524\n",
      "-0.003025371260241403\n",
      "0.021088150271231607\n",
      "-0.014188452320294647\n",
      "0.014363979169212207\n",
      "-0.007352883524672726\n",
      "0.0007033293851591846\n",
      "0.006412107289695561\n",
      "0.01600057643339351\n",
      "0.01034062280266931\n",
      "-0.02620193812274552\n",
      "0.01592517152423195\n",
      "-0.015751156400055814\n",
      "-0.017921533214505007\n",
      "-0.003026412916840808\n",
      "0.021087637140099945\n",
      "-0.014188365239437896\n",
      "0.014363117067722897\n",
      "-0.007350127800552164\n",
      "0.000698644335859109\n",
      "0.00641540375150285\n",
      "0.016001025304064505\n",
      "0.010339579363694238\n",
      "-0.02620245509041158\n",
      "0.01592526836228884\n",
      "-0.015752022655987578\n",
      "-0.017921094100599774\n",
      "-0.0030274501230299305\n",
      "0.021087129740425422\n",
      "-0.014188281128696401\n",
      "0.014362257308017814\n",
      "-0.00734739249887646\n",
      "0.0006939926707134193\n",
      "0.006418680950571182\n",
      "0.01600147459951027\n",
      "0.010338540489224127\n",
      "-0.026202966261491083\n",
      "0.015925362199659766\n",
      "-0.01575288651461175\n",
      "-0.01792065459659736\n",
      "-0.003028482870451317\n",
      "0.02108662799636488\n",
      "-0.01418819993021946\n",
      "0.01436139992652134\n",
      "-0.007344677442640119\n",
      "0.0006893741171153962\n",
      "0.00642193898122279\n",
      "0.01600192426285989\n",
      "0.01033750618419246\n",
      "-0.026203471713912352\n",
      "0.015925453093936094\n",
      "-0.015753747940279058\n",
      "-0.017920214756562008\n",
      "-0.0030295111514350133\n",
      "0.021086131833171266\n",
      "-0.014188121587144229\n",
      "0.014360544958587752\n",
      "-0.007341982456721006\n",
      "0.0006847884052160429\n",
      "0.006425177937657415\n",
      "0.016002374238505868\n",
      "0.010336476452941423\n",
      "-0.026203971524437042\n",
      "0.015925541101728884\n",
      "-0.01575460689839984\n",
      "-0.0179197746333846\n",
      "-0.003030534958982771\n",
      "0.02108564117717755\n",
      "-0.014188046043579868\n",
      "0.014359692438521683\n",
      "-0.007339307367856389\n",
      "0.0006802352678887719\n",
      "0.00642839791394475\n",
      "0.01600282447208095\n",
      "0.010335451299235042\n",
      "-0.026204465768678513\n",
      "0.01592562627868473\n",
      "-0.015755463355423664\n",
      "-0.01791933427880325\n",
      "-0.0030315542867525545\n",
      "0.02108515595578088\n",
      "-0.014187973244591826\n",
      "0.014358842399598263\n",
      "-0.00733665200461933\n",
      "0.0006757144406945705\n",
      "0.006431599004017108\n",
      "0.016003274910435218\n",
      "0.010334430726271939\n",
      "-0.026204954521119952\n",
      "0.015925708679501268\n",
      "-0.015756317278819324\n",
      "-0.017918893743423533\n",
      "-0.00303256912904337\n",
      "0.021084676097426938\n",
      "-0.01418790313618649\n",
      "0.014357994874082854\n",
      "-0.007334016197395396\n",
      "0.000671225661847815\n",
      "0.006434781301662234\n",
      "0.016003725501613747\n",
      "0.01033341473669797\n",
      "-0.026205437855132067\n",
      "0.015925788357942477\n",
      "-0.01575716863705521\n",
      "-0.017918453076738457\n",
      "-0.0030335794807804157\n",
      "0.02108420153159451\n",
      "-0.014187835665295965\n",
      "0.014357149893250565\n",
      "-0.00733139977835973\n",
      "0.0006667686721824748\n",
      "0.0064379449005163595\n",
      "0.016004176194834532\n",
      "0.010332403332618563\n",
      "-0.026205915842990646\n",
      "0.015925865366853763\n",
      "-0.015758017399579966\n",
      "-0.01791801232714803\n",
      "-0.0030345853375005113\n",
      "0.021083732188780294\n",
      "-0.014187770779763171\n",
      "0.014356307487405278\n",
      "-0.007328802581454398\n",
      "0.0006623432151189482\n",
      "0.006441089894057429\n",
      "0.016004626940466855\n",
      "0.010331396515610878\n",
      "-0.026206388555893727\n",
      "0.01592593975817682\n",
      "-0.015758863536803537\n",
      "-0.01791757154197858\n",
      "-0.00303558669533782\n",
      "0.021083268000483896\n",
      "-0.01418770842832709\n",
      "0.014355467685898465\n",
      "-0.0073262244423660805\n",
      "0.0006579490366313596\n",
      "0.006444216375598476\n",
      "0.016005077690010028\n",
      "0.010330394286735678\n",
      "-0.02620685606397855\n",
      "0.01592601158296419\n",
      "-0.01575970702007847\n",
      "-0.01791713076750171\n",
      "-0.003036583551009886\n",
      "0.02108280889919307\n",
      "-0.014187648560608272\n",
      "0.014354630517147622\n",
      "-0.007323665198504076\n",
      "0.000653585885215345\n",
      "0.006447324438281232\n",
      "0.01600552839607252\n",
      "0.010329396646549036\n",
      "-0.026207318436338223\n",
      "0.015926080891393708\n",
      "-0.015760547821681667\n",
      "-0.01791669004895299\n",
      "-0.0030375759018039044\n",
      "0.021082354818369127\n",
      "-0.014187591127094624\n",
      "0.014353796008654432\n",
      "-0.007321124688978599\n",
      "0.0006492535118563351\n",
      "0.0064504141750698915\n",
      "0.01600597901235142\n",
      "0.01032840359511381\n",
      "-0.026207775741038098\n",
      "0.01592614773278261\n",
      "-0.015761385914796252\n",
      "-0.017916249430550316\n",
      "-0.0030385637455633352\n",
      "0.021081905692432575\n",
      "-0.014187536079127283\n",
      "0.014352964187022522\n",
      "-0.007318602754579391\n",
      "0.0006449516699983716\n",
      "0.006453485678745032\n",
      "0.016006429493612296\n",
      "0.010327415132010914\n",
      "-0.02620822804513193\n",
      "0.015926212155601523\n",
      "-0.015762221273493988\n",
      "-0.017915808955511953\n",
      "-0.003039547080674734\n",
      "0.021081461456748954\n",
      "-0.014187483368886863\n",
      "0.014352135077975045\n",
      "-0.00731609923775464\n",
      "0.0006406801155133049\n",
      "0.006456539041897721\n",
      "0.01600687979566938\n",
      "0.010326431256350323\n",
      "-0.02620867541467772\n",
      "0.015926274207488184\n",
      "-0.01576305387271781\n",
      "-0.01791536866607435\n",
      "-0.0030405259060548606\n",
      "0.021081022047614875\n",
      "-0.014187432949379773\n",
      "0.014351308706371833\n",
      "-0.007313613982590155\n",
      "0.0006364386066705422\n",
      "0.006459574356923793\n",
      "0.01600732987536612\n",
      "0.010325451966781996\n",
      "-0.026209117914753364\n",
      "0.015926333935260925\n",
      "-0.015763883688264754\n",
      "-0.01791492860350962\n",
      "-0.0030415002211380453\n",
      "0.02108058740224426\n",
      "-0.014187384774424836\n",
      "0.01435048509622633\n",
      "-0.007311146834788901\n",
      "0.0006322269041072057\n",
      "0.0064625917160182605\n",
      "0.016007779690556088\n",
      "0.010324477261506442\n",
      "-0.026209555609472017\n",
      "0.015926391384932036\n",
      "-0.015764710696769175\n",
      "-0.0179144888081427\n",
      "-0.0030424700258638504\n",
      "0.021080157458754772\n",
      "-0.014187338798640113\n",
      "0.014349664270722219\n",
      "-0.007308697641650735\n",
      "0.0006280447707987684\n",
      "0.006465591211169919\n",
      "0.016008229200084174\n",
      "0.010323507138285242\n",
      "-0.026209988561997192\n",
      "0.015926446601720826\n",
      "-0.015765534875686233\n",
      "-0.01791404931936833\n",
      "-0.003043435320664902\n",
      "0.021079732156154444\n",
      "-0.014187294977429857\n",
      "0.014348846252229716\n",
      "-0.0073062662520524966\n",
      "0.0006238919720301089\n",
      "0.006468572934156088\n",
      "0.016008678363768167\n",
      "0.010322541594451241\n",
      "-0.02621041683455768\n",
      "0.015926499630066548\n",
      "-0.015766356203275666\n",
      "-0.017913610175667644\n",
      "-0.0030443961064550292\n",
      "0.021079311434328476\n",
      "-0.01418725326697175\n",
      "0.014348031062321662\n",
      "-0.007303852516428342\n",
      "0.0006197682753669827\n",
      "0.006471536976537506\n",
      "0.016009127142380612\n",
      "0.010321580626918661\n",
      "-0.026210840488462152\n",
      "0.01592655051364106\n",
      "-0.01576717465858589\n",
      "-0.01791317141462457\n",
      "-0.003045352384617641\n",
      "0.021078895234026267\n",
      "-0.0141872136242043\n",
      "0.014347218721789226\n",
      "-0.007301456286750345\n",
      "0.0006156734506280183\n",
      "0.006474483429653346\n",
      "0.016009575497631046\n",
      "0.010320624232192944\n",
      "-0.026211259584113605\n",
      "0.01592659929536138\n",
      "-0.015767990221438304\n",
      "-0.017912733072941937\n",
      "-0.0030463041569942966\n",
      "0.021078483496848602\n",
      "-0.014187176006814446\n",
      "0.014346409250657473\n",
      "-0.007299077416509401\n",
      "0.0006116072698569965\n",
      "0.0064774123846164525\n",
      "0.016010023392148468\n",
      "0.01031967240638048\n",
      "-0.026211674181023492\n",
      "0.015926646017401937\n",
      "-0.015768802872411947\n",
      "-0.017912295186457282\n",
      "-0.0030472514258735386\n",
      "0.021078076165234997\n",
      "-0.014187140373225327\n",
      "0.014345602668200523\n",
      "-0.007296715760696367\n",
      "0.0006075695072956636\n",
      "0.006480323932308628\n",
      "0.016010470789464208\n",
      "0.010318725145198085\n",
      "-0.02621208433782571\n",
      "0.01592669072120673\n",
      "-0.015769612592828348\n",
      "-0.01791185779015848\n",
      "-0.003048194193979934\n",
      "0.021077673182451306\n",
      "-0.014187106682584294\n",
      "0.01434479899295654\n",
      "-0.007294371175783481\n",
      "0.0006035599393568374\n",
      "0.0064832181633761275\n",
      "0.016010917653994986\n",
      "0.01031778244398236\n",
      "-0.02621249011229033\n",
      "0.015926733447501226\n",
      "-0.015770419364736697\n",
      "-0.017911420918199014\n",
      "-0.00304913246446336\n",
      "0.02107727449257742\n",
      "-0.014187074894751057\n",
      "0.014343998242742422\n",
      "-0.007292043519706019\n",
      "0.0005995783445980191\n",
      "0.00648609516822526\n",
      "0.016011363951026404\n",
      "0.01031684429769884\n",
      "-0.026212891561337076\n",
      "0.015926774236304096\n",
      "-0.01577122317089926\n",
      "-0.017910984603913084\n",
      "-0.003050066240888481\n",
      "0.021076880040495186\n",
      "-0.014187044970286052\n",
      "0.014343200434668232\n",
      "-0.007289732651844245\n",
      "0.0005956245036953254\n",
      "0.006488955037018117\n",
      "0.016011809646696625\n",
      "0.010315910700951003\n",
      "-0.02621328874104863\n",
      "0.0159268131269388\n",
      "-0.01577202399477705\n",
      "-0.017910548879830426\n",
      "-0.00305099552722444\n",
      "0.0210764897718765\n",
      "-0.014187016870438964\n",
      "0.014342405585151414\n",
      "-0.007287438433005576\n",
      "0.0005916981994178554\n",
      "0.006491797859668445\n",
      "0.01601225470798034\n",
      "0.01031498164798906\n",
      "-0.0262136817066837\n",
      "0.01592685015804493\n",
      "-0.0157728218205157\n",
      "-0.017910113777690858\n",
      "-0.0030519203278347785\n",
      "0.021076103633171594\n",
      "-0.01418699055713744\n",
      "0.014341613709930687\n",
      "-0.007285160725407004\n",
      "0.000587799216602369\n",
      "0.006494623725837651\n",
      "0.016012699102673108\n",
      "0.010314057132718647\n",
      "-0.0262140705126899\n",
      "0.015926885367589416\n",
      "-0.015773616632931663\n",
      "-0.01790967932845868\n",
      "-0.003052840647467529\n",
      "0.021075721571597407\n",
      "-0.014186965992976005\n",
      "0.014340824824079786\n",
      "-0.007282899392657775\n",
      "0.0005839273421284174\n",
      "0.006497432724930918\n",
      "0.01601314279937588\n",
      "0.010313137148709288\n",
      "-0.026214455212716415\n",
      "0.015926918792877557\n",
      "-0.015774408417498643\n",
      "-0.01790924556233673\n",
      "-0.0030537564912455285\n",
      "0.02107534353512624\n",
      "-0.014186943141205097\n",
      "0.014340038942020879\n",
      "-0.0072806542997423\n",
      "0.0005800823648937855\n",
      "0.0065002249460934395\n",
      "0.016013585767479833\n",
      "0.010312221689202762\n",
      "-0.026214835859626442\n",
      "0.01592695047056386\n",
      "-0.01577519716033418\n",
      "-0.017908812508780233\n",
      "-0.0030546678646569416\n",
      "0.0210749694724745\n",
      "-0.014186921965720314\n",
      "0.014339256077537837\n",
      "-0.007278425313003303\n",
      "0.0005762640757902969\n",
      "0.006503000478206803\n",
      "0.016014027977151478\n",
      "0.010311310747121263\n",
      "-0.026215212505509462\n",
      "0.015926980436662713\n",
      "-0.01577598284818658\n",
      "-0.017908380196510535\n",
      "-0.0030555747735459176\n",
      "0.021074599333091602\n",
      "-0.014186902431051815\n",
      "0.014338476243789165\n",
      "-0.007276212300125193\n",
      "0.000572472267679994\n",
      "0.006505759409885455\n",
      "0.016014469399317995\n",
      "0.010310404315075418\n",
      "-0.02621558520169331\n",
      "0.01592700872655891\n",
      "-0.01577676546842199\n",
      "-0.017907948653528398\n",
      "-0.003056477224103498\n",
      "0.021074233067149128\n",
      "-0.014186884502353914\n",
      "0.014337699453320805\n",
      "-0.007274015130117684\n",
      "0.0005687067353716895\n",
      "0.006508501829473306\n",
      "0.01601491000565288\n",
      "0.010309502385372173\n",
      "-0.026215953998756023\n",
      "0.015927035375017967\n",
      "-0.015777545009011767\n",
      "-0.01790751790712728\n",
      "-0.0030573752228586905\n",
      "0.021073870625529983\n",
      "-0.014186868145394771\n",
      "0.014336925718078652\n",
      "-0.00727183367329964\n",
      "0.000564967275597785\n",
      "0.006511227825040422\n",
      "0.016015349768561803\n",
      "0.010308604950022525\n",
      "-0.026216318946537545\n",
      "0.01592706041619633\n",
      "-0.01577832145852001\n",
      "-0.017907087983906275\n",
      "-0.003058268776669692\n",
      "0.021073511959817895\n",
      "-0.014186853326546334\n",
      "0.014336155049420882\n",
      "-0.0072696678012831315\n",
      "0.0005612536869914714\n",
      "0.0065139374843798505\n",
      "0.01601578866116871\n",
      "0.01030771200074909\n",
      "-0.026216680094151214\n",
      "0.015927083883651393\n",
      "-0.015779094806091375\n",
      "-0.01790665890978287\n",
      "-0.0030591578927153264\n",
      "0.021073157022286897\n",
      "-0.014186840012774355\n",
      "0.01433538745813004\n",
      "-0.007267517386957704\n",
      "0.000557565770064302\n",
      "0.006516630895004559\n",
      "0.016016226657302225\n",
      "0.010306823528993536\n",
      "-0.02621703748999506\n",
      "0.015927105810351345\n",
      "-0.015779865041439037\n",
      "-0.01790623071000549\n",
      "-0.0030600425784866408\n",
      "0.021072805765891094\n",
      "-0.014186828171628647\n",
      "0.014334622954424931\n",
      "-0.0072653823044749105\n",
      "0.0005539033271839803\n",
      "0.006519308144144447\n",
      "0.016016663731482226\n",
      "0.010305939525923888\n",
      "-0.026217391181762962\n",
      "0.015927126228684883\n",
      "-0.01578063215483291\n",
      "-0.017905803409165845\n",
      "-0.0030609228417786704\n",
      "0.021072458144254506\n",
      "-0.014186817771233397\n",
      "0.014333861547972298\n",
      "-0.007263262429233001\n",
      "0.0005502661625526071\n",
      "0.006521969318743476\n",
      "0.01601709985890669\n",
      "0.010305059982441696\n",
      "-0.026217741216455558\n",
      "0.015927145170470777\n",
      "-0.015781396137088077\n",
      "-0.017905377031211058\n",
      "-0.003061798690682368\n",
      "0.021072114111661093\n",
      "-0.014186808780277735\n",
      "0.014333103247898285\n",
      "-0.007261157637861856\n",
      "0.0005466540821850895\n",
      "0.006524614505456903\n",
      "0.01601753501543878\n",
      "0.010304184889189012\n",
      "-0.02621808764039106\n",
      "0.015927162666967257\n",
      "-0.015782156979553392\n",
      "-0.01790495159945558\n",
      "-0.0030626701335767083\n",
      "0.021071773623044895\n",
      "-0.01418680116800637\n",
      "0.014332348062799713\n",
      "-0.0072590678082081195\n",
      "0.0005430668938880201\n",
      "0.00652724379064863\n",
      "0.016017969177594144\n",
      "0.01030331423655534\n",
      "-0.026218430499215836\n",
      "0.01592717874888127\n",
      "-0.01578291467410032\n",
      "-0.017904527136592935\n",
      "-0.0030635371791209306\n",
      "0.021071436633980378\n",
      "-0.014186794904210416\n",
      "0.014331596000755151\n",
      "-0.007256992819320537\n",
      "0.0005395044072386976\n",
      "0.006529857260388615\n",
      "0.01601840232252841\n",
      "0.010302448014684351\n",
      "-0.02621876983791486\n",
      "0.015927193446377587\n",
      "-0.015783669213111955\n",
      "-0.017904103664707263\n",
      "-0.003064399836246977\n",
      "0.021071103100672832\n",
      "-0.01418678995921835\n",
      "0.014330847069335767\n",
      "-0.007254932551435498\n",
      "0.0005359664335646109\n",
      "0.006532455000450386\n",
      "0.016018834428024983\n",
      "0.010301586213480525\n",
      "-0.026219105700821956\n",
      "0.01592720678908777\n",
      "-0.01578442058947223\n",
      "-0.017903681205284627\n",
      "-0.003065258114152028\n",
      "0.021070772979949\n",
      "-0.014186786303887129\n",
      "0.014330101275616035\n",
      "-0.007252886885962784\n",
      "0.0005324527859230542\n",
      "0.006535037096308669\n",
      "0.016019265472482964\n",
      "0.010300728822615637\n",
      "-0.026219438131629934\n",
      "0.015927218806118994\n",
      "-0.015785168796555324\n",
      "-0.017903259779224207\n",
      "-0.0030661120222912385\n",
      "0.02107044622924779\n",
      "-0.014186783909593418\n",
      "0.014329358626184204\n",
      "-0.007250855705471475\n",
      "0.0005289632790811704\n",
      "0.006537603633137097\n",
      "0.01601969543490535\n",
      "0.010299875831535181\n",
      "-0.026219767173400497\n",
      "0.01592722952606271\n",
      "-0.015785913828215266\n",
      "-0.017902839406849228\n",
      "-0.0030669615703705993\n",
      "0.021070122806611167\n",
      "-0.014186782748224993\n",
      "0.014328619127152614\n",
      "-0.007248838893676112\n",
      "0.0005254977294961798\n",
      "0.006540154695805987\n",
      "0.0160201242948874\n",
      "0.01029902722946456\n",
      "-0.026220092868574057\n",
      "0.015927238977003204\n",
      "-0.015786655678775737\n",
      "-0.01790242010791777\n",
      "-0.0030678067683399413\n",
      "0.0210698026706751\n",
      "-0.014186782792172241\n",
      "0.014327882784167825\n",
      "-0.0072468363354230006\n",
      "0.0005220559552959651\n",
      "0.006542690368880221\n",
      "0.01602055203260522\n",
      "0.010298183005415278\n",
      "-0.02622041525897934\n",
      "0.015927247186525998\n",
      "-0.01578739434301999\n",
      "-0.017902001901633338\n",
      "-0.003068647626386105\n",
      "0.021069485780660754\n",
      "-0.014186784014319824\n",
      "0.014327149602420517\n",
      "-0.007244847916676717\n",
      "0.0005186377762598677\n",
      "0.006545210736617206\n",
      "0.016020978628804593\n",
      "0.010297343148190925\n",
      "-0.026220734385842874\n",
      "0.015927254181726122\n",
      "-0.015788129816181024\n",
      "-0.017901584806655314\n",
      "-0.0030694841549262102\n",
      "0.02106917209636573\n",
      "-0.014186786388038495\n",
      "0.014326419586655308\n",
      "-0.00724287352450681\n",
      "0.0005152430137997889\n",
      "0.006547715882964939\n",
      "0.016021404064789916\n",
      "0.010296507646393093\n",
      "-0.026221050289798306\n",
      "0.015927259989216257\n",
      "-0.015788862093931898\n",
      "-0.017901168841109184\n",
      "-0.003070316364601089\n",
      "0.02106886157815546\n",
      "-0.014186789887176966\n",
      "0.014325692741180307\n",
      "-0.007240913047074658\n",
      "0.0005118714909415633\n",
      "0.006550205891560115\n",
      "0.016021828322413414\n",
      "0.010295676488427172\n",
      "-0.026221363010895553\n",
      "0.015927264635134723\n",
      "-0.015789591172376216\n",
      "-0.017900754022596624\n",
      "-0.003071144266268852\n",
      "0.02106855418695473\n",
      "-0.014186794486053991\n",
      "0.014324969069876544\n",
      "-0.007238966373620545\n",
      "0.0005085230323065392\n",
      "0.006552680845726331\n",
      "0.0160222513840645\n",
      "0.010294849662508003\n",
      "-0.02622167258860988\n",
      "0.015927268145153405\n",
      "-0.01579031704803881\n",
      "-0.01790034036820538\n",
      "-0.003071967870998588\n",
      "0.02106824988423936\n",
      "-0.014186800159450539\n",
      "0.014324248576207215\n",
      "-0.00723703339445088\n",
      "0.0005051974640935383\n",
      "0.006555140828472375\n",
      "0.016022673232659344\n",
      "0.010294027156665471\n",
      "-0.026221979061850725\n",
      "0.015927270544485478\n",
      "-0.015791039717856552\n",
      "-0.01789992789451903\n",
      "-0.0030727871900641714\n",
      "0.02106794863202794\n",
      "-0.014186806882602076\n",
      "0.01432353126322678\n",
      "-0.007235114000925591\n",
      "0.0005018946140609338\n",
      "0.006557585922490592\n",
      "0.016023093851630633\n",
      "0.01029320895874995\n",
      "-0.026222282468970494\n",
      "0.015927271857893048\n",
      "-0.015791759179169335\n",
      "-0.017899516617626562\n",
      "-0.0030736022349382055\n",
      "0.021067650392873727\n",
      "-0.01418681463119101\n",
      "0.014322817133589863\n",
      "-0.007233208085445735\n",
      "0.0004986143115090098\n",
      "0.006560016210155288\n",
      "0.01602351322491746\n",
      "0.01029239505643766\n",
      "-0.026222582847773124\n",
      "0.01592727210969466\n",
      "-0.01579247542971127\n",
      "-0.017899106553131757\n",
      "-0.0030744130172861224\n",
      "0.021067355129856715\n",
      "-0.014186823381339215\n",
      "0.014322106189560042\n",
      "-0.007231315541441206\n",
      "0.0004953563872626692\n",
      "0.006562431773521282\n",
      "0.01602393133695548\n",
      "0.01029158543723592\n",
      "-0.026222880235522567\n",
      "0.015927271323772696\n",
      "-0.015793188467601978\n",
      "-0.017898697716162454\n",
      "-0.003075219548960341\n",
      "0.021067062806575707\n",
      "-0.014186833109600713\n",
      "0.014321398433018424\n",
      "-0.007229436263358689\n",
      "0.0004921206736542472\n",
      "0.006564832694322414\n",
      "0.01602434817266715\n",
      "0.010290780088488287\n",
      "-0.026223174668951108\n",
      "0.015927269523580645\n",
      "-0.015793898291338048\n",
      "-0.017898290121379667\n",
      "-0.0030760218419945947\n",
      "0.021066773387140608\n",
      "-0.01418684379295443\n",
      "0.014320693865472108\n",
      "-0.0072275701466497\n",
      "0.0004889070045066271\n",
      "0.00656721905397027\n",
      "0.016024763717452217\n",
      "0.010289978997379625\n",
      "-0.026223466184267574\n",
      "0.01592726673215025\n",
      "-0.015794604899784685\n",
      "-0.017897883782986485\n",
      "-0.003076819908598368\n",
      "0.021066486836164796\n",
      "-0.014186855408797107\n",
      "0.014319992488062507\n",
      "-0.007225717087758854\n",
      "0.0004857152151165957\n",
      "0.006569590933552817\n",
      "0.016025177957178307\n",
      "0.010289182150941031\n",
      "-0.02622375481716538\n",
      "0.015927262972098562\n",
      "-0.015795308292167475\n",
      "-0.017897478714736872\n",
      "-0.0030776137611514087\n",
      "0.021066203118757603\n",
      "-0.014186867934936325\n",
      "0.014319294301573447\n",
      "-0.007223876984112251\n",
      "0.000482545142238421\n",
      "0.0065719484138332404\n",
      "0.016025590878171764\n",
      "0.010288389536054694\n",
      "-0.0262240406028305\n",
      "0.015927258265634864\n",
      "-0.015796008468064324\n",
      "-0.017897074929944353\n",
      "-0.0030784034121984247\n",
      "0.02106592220051689\n",
      "-0.014186881349583581\n",
      "0.01431859930643921\n",
      "-0.007222049734106049\n",
      "0.0004793966240676251\n",
      "0.0065742915752487335\n",
      "0.01602600246720853\n",
      "0.010287601139458664\n",
      "-0.02622432357594926\n",
      "0.015927252634567485\n",
      "-0.015796705427397497\n",
      "-0.017896672441490444\n",
      "-0.003079188874443807\n",
      "0.021065644047521783\n",
      "-0.014186895631347562\n",
      "0.014317907502752381\n",
      "-0.007220235237095161\n",
      "0.0004762695002250322\n",
      "0.006576620497909457\n",
      "0.01602641271150534\n",
      "0.01028681694775149\n",
      "-0.026224603770716\n",
      "0.015927246100310505\n",
      "-0.01579739917042588\n",
      "-0.017896271261833022\n",
      "-0.0030799701607465346\n",
      "0.02106536862632549\n",
      "-0.014186910759227489\n",
      "0.01431721889027155\n",
      "-0.007218433393382129\n",
      "0.00047316361174099545\n",
      "0.006578935261597465\n",
      "0.01602682159871095\n",
      "0.010286036947396831\n",
      "-0.026224881220840685\n",
      "0.015927238683890364\n",
      "-0.015798089697737282\n",
      "-0.017895871403014553\n",
      "-0.003080747284115127\n",
      "0.021065095903948214\n",
      "-0.014186926712606523\n",
      "0.014316533468428908\n",
      "-0.007216644104206141\n",
      "0.00047007880103987025\n",
      "0.006581235945765766\n",
      "0.016027229116897534\n",
      "0.010285261124727886\n",
      "-0.026225155959556316\n",
      "0.015927230405952352\n",
      "-0.015798777010240975\n",
      "-0.01789547287667014\n",
      "-0.00308152025770275\n",
      "0.0210648258478702\n",
      "-0.014186943471245349\n",
      "0.014315851236337662\n",
      "-0.007214867271732202\n",
      "0.00046701491192464097\n",
      "0.006583522629537373\n",
      "0.016027635254552332\n",
      "0.010284489465951846\n",
      "-0.026225428019626275\n",
      "0.01592722128676699\n",
      "-0.0157994611091603\n",
      "-0.017895075694035426\n",
      "-0.003082289094802378\n",
      "0.021064558426024848\n",
      "-0.014186961015275834\n",
      "0.014315172192799368\n",
      "-0.007213102799040424\n",
      "0.0004639717895618481\n",
      "0.0065857953917044755\n",
      "0.016028040000569347\n",
      "0.010283721957154148\n",
      "-0.026225697433351514\n",
      "0.01592721134623633\n",
      "-0.015800141996025432\n",
      "-0.017894679865954468\n",
      "-0.00308305380884208\n",
      "0.021064293606791976\n",
      "-0.014186979325194766\n",
      "0.014314496336311086\n",
      "-0.0072113505901155095\n",
      "0.00046094928046665803\n",
      "0.006588054310727643\n",
      "0.016028443344241187\n",
      "0.010282958584302742\n",
      "-0.026225964232577663\n",
      "0.015927200603900116\n",
      "-0.01580081967266629\n",
      "-0.017894285402887285\n",
      "-0.003083814413380417\n",
      "0.021064031358991167\n",
      "-0.014186998381857736\n",
      "0.014313823665072414\n",
      "-0.007209610549836335\n",
      "0.00045794723248811914\n",
      "0.006590299464735058\n",
      "0.016028845275251145\n",
      "0.010282199333252178\n",
      "-0.02622622844870202\n",
      "0.015927189078941903\n",
      "-0.01580149414120554\n",
      "-0.017893892314917476\n",
      "-0.003084570922101901\n",
      "0.02106377165187518\n",
      "-0.01418701816647309\n",
      "0.014313154176992408\n",
      "-0.007207882583965687\n",
      "0.0004549654947946847\n",
      "0.006592530931521854\n",
      "0.01602924578366532\n",
      "0.010281444189747715\n",
      "-0.026226490112680384\n",
      "0.015927176790195025\n",
      "-0.015802165404051778\n",
      "-0.01789350061175959\n",
      "-0.003085323348812569\n",
      "0.021063514455123524\n",
      "-0.01418703866059597\n",
      "0.014312487869696373\n",
      "-0.007206166599140152\n",
      "0.0004520039178598686\n",
      "0.00659474878854946\n",
      "0.016029644859924932\n",
      "0.010280693139429243\n",
      "-0.02622674925503387\n",
      "0.01592716375614847\n",
      "-0.015802833463892777\n",
      "-0.0178931103027664\n",
      "-0.003086071707435655\n",
      "0.02106325973883608\n",
      "-0.014187059846122476\n",
      "0.014311824740532535\n",
      "-0.0072044625028601095\n",
      "0.0004490623534481322\n",
      "0.00659695311294501\n",
      "0.01603004249483875\n",
      "0.01027994616783523\n",
      "-0.0262270059058555\n",
      "0.01592714999495271\n",
      "-0.015803498323688922\n",
      "-0.017892721396936012\n",
      "-0.0030868160120073335\n",
      "0.021063007473526844\n",
      "-0.014187081705283922\n",
      "0.014311164786578536\n",
      "-0.0072027702034798925\n",
      "0.0004461406546009492\n",
      "0.006599143981500841\n",
      "0.016030438679575706\n",
      "0.010279203260406485\n",
      "-0.026227260094816813\n",
      "0.015927135524425363\n",
      "-0.015804159986666694\n",
      "-0.01789233390291898\n",
      "-0.0030875562766725703\n",
      "0.021062757630117748\n",
      "-0.014187104220641164\n",
      "0.014310508004647933\n",
      "-0.007201089610198068\n",
      "0.000443238675623038\n",
      "0.006601321470673958\n",
      "0.01603083340565754\n",
      "0.010278464402489938\n",
      "-0.026227511851174272\n",
      "0.015927120362056832\n",
      "-0.01580481845631234\n",
      "-0.01789194782902513\n",
      "-0.0030882925156810455\n",
      "0.021062510179932575\n",
      "-0.01418712737507903\n",
      "0.014309854391296416\n",
      "-0.007199420633047835\n",
      "0.0004403562720688091\n",
      "0.006603485656585651\n",
      "0.01603122666495168\n",
      "0.01027772957934228\n",
      "-0.02622776120377561\n",
      "0.015927104525015827\n",
      "-0.01580547373636562\n",
      "-0.01789156318323036\n",
      "-0.003089024743383168\n",
      "0.021062265094691012\n",
      "-0.014187151151800843\n",
      "0.014309203942828067\n",
      "-0.007197763182887555\n",
      "0.0004374933007289971\n",
      "0.006605636615021048\n",
      "0.01603161844966419\n",
      "0.010276998776133575\n",
      "-0.026228008181066062\n",
      "0.01592708803015475\n",
      "-0.01580612583081369\n",
      "-0.017891179973183343\n",
      "-0.003089752974226169\n",
      "0.021062022346502698\n",
      "-0.014187175534323039\n",
      "0.014308556655301383\n",
      "-0.007196117171391446\n",
      "0.000434649619617392\n",
      "0.00660777442142882\n",
      "0.016032008752332884\n",
      "0.01027627197795075\n",
      "-0.026228252811094543\n",
      "0.015927070894015096\n",
      "-0.015806774743885053\n",
      "-0.017890798206212057\n",
      "-0.003090477222750309\n",
      "0.02106178190786147\n",
      "-0.014187200506469839\n",
      "0.014307912524535279\n",
      "-0.007194482511040331\n",
      "0.00043182508795789807\n",
      "0.0066098991509208485\n",
      "0.01603239756582049\n",
      "0.010275549169801071\n",
      "-0.02622849512151964\n",
      "0.01592705313283266\n",
      "-0.01580742048004371\n",
      "-0.017890417889330205\n",
      "-0.0030911975035850946\n",
      "0.021061543751639614\n",
      "-0.014187226052368067\n",
      "0.014307271546114924\n",
      "-0.0071928591151125855\n",
      "0.00042901956617161084\n",
      "0.0066120108782719775\n",
      "0.01603278488330805\n",
      "0.010274830336615486\n",
      "-0.026228735139615607\n",
      "0.01592703476254273\n",
      "-0.01580806304398332\n",
      "-0.017890039029243594\n",
      "-0.0030919138314456623\n",
      "0.021061307851082255\n",
      "-0.014187252156442003\n",
      "0.014306633715397466\n",
      "-0.007191246897675139\n",
      "0.00042623291586415195\n",
      "0.006614109677919807\n",
      "0.016033170698288305\n",
      "0.010274115463251965\n",
      "-0.026228972892278178\n",
      "0.015927015798785166\n",
      "-0.01580870244062154\n",
      "-0.0178896616323563\n",
      "-0.003092626221129165\n",
      "0.021061074179801773\n",
      "-0.014187278803408315\n",
      "0.014305999027517705\n",
      "-0.00718964577357465\n",
      "0.0004234649998131189\n",
      "0.0066161956239645095\n",
      "0.01603355500455932\n",
      "0.010273404534498716\n",
      "-0.02622920840603036\n",
      "0.015926996256909385\n",
      "-0.015809338675094424\n",
      "-0.017889285704776815\n",
      "-0.0030933346875112763\n",
      "0.021060842711772405\n",
      "-0.014187305978271114\n",
      "0.014305367477393605\n",
      "-0.007188055658428748\n",
      "0.00042071568195580145\n",
      "0.006618268790168712\n",
      "0.01603393779621815\n",
      "0.010272697535077377\n",
      "-0.026229441707028088\n",
      "0.015926976151979327\n",
      "-0.015809971752750954\n",
      "-0.01788891125232404\n",
      "-0.0030940392455427635\n",
      "0.021060613421324786\n",
      "-0.014187333666317057\n",
      "0.014304739059731742\n",
      "-0.007186476468617456\n",
      "0.0004179848273768808\n",
      "0.006620329249957393\n",
      "0.016034319067654644\n",
      "0.010271994449646094\n",
      "-0.026229672821065808\n",
      "0.01592695549877826\n",
      "-0.015810601679147662\n",
      "-0.017888538280533196\n",
      "-0.0030947399102461237\n",
      "0.021060386283140737\n",
      "-0.014187361853110559\n",
      "0.014304113769032623\n",
      "-0.007184908121274639\n",
      "0.000415272302296501\n",
      "0.006622377076417829\n",
      "0.016034698813545356\n",
      "0.010271295262802597\n",
      "-0.026229901773581955\n",
      "0.015926934311813537\n",
      "-0.01581122846004337\n",
      "-0.017888166794661594\n",
      "-0.0030954366967122938\n",
      "0.021060161272247968\n",
      "-0.014187390524489028\n",
      "0.014303491599595906\n",
      "-0.007183350534279658\n",
      "0.00041257797405833173\n",
      "0.006624412342299596\n",
      "0.01603507702884755\n",
      "0.01027059995908718\n",
      "-0.02623012858966437\n",
      "0.015926912605321305\n",
      "-0.01581185210139398\n",
      "-0.017887796799694374\n",
      "-0.003096129620097431\n",
      "0.02105993836401501\n",
      "-0.01418741966655826\n",
      "0.014302872545525574\n",
      "-0.007181803626249079\n",
      "0.0004099017111178535\n",
      "0.006626435120014568\n",
      "0.016035453708793362\n",
      "0.010269908522985576\n",
      "-0.026230353294055632\n",
      "0.01592689039327111\n",
      "-0.015812472609347417\n",
      "-0.017887428300350075\n",
      "-0.0030968186956197735\n",
      "0.0210597175341461\n",
      "-0.014187449265687806\n",
      "0.014302256600734928\n",
      "-0.007180267316528488\n",
      "0.00040724338303079345\n",
      "0.006628445481636997\n",
      "0.016035828848883996\n",
      "0.010269220938931869\n",
      "-0.026230575911158245\n",
      "0.01592686768937042\n",
      "-0.015813089990238626\n",
      "-0.01788706130108613\n",
      "-0.0030975039385565577\n",
      "0.02105949875867622\n",
      "-0.014187479308506532\n",
      "0.01430164375895158\n",
      "-0.00717874152518445\n",
      "0.000404602860441739\n",
      "0.006630443498903592\n",
      "0.01603620244488409\n",
      "0.010268537191311272\n",
      "-0.026230796465039848\n",
      "0.015926844507069073\n",
      "-0.015813704250584697\n",
      "-0.017886695806104295\n",
      "-0.003098185364241006\n",
      "0.021059282013966216\n",
      "-0.014187509781898134\n",
      "0.014301034013722244\n",
      "-0.007177226172996543\n",
      "0.00040198001507277774\n",
      "0.0066324292432136615\n",
      "0.01603657449281614\n",
      "0.010267857264462853\n",
      "-0.026231014979438236\n",
      "0.01592682085956372\n",
      "-0.015814315397080052\n",
      "-0.017886331819355943\n",
      "-0.0030988629880593557\n",
      "0.021059067276697912\n",
      "-0.01418754067299684\n",
      "0.014300427358417567\n",
      "-0.007175721181449514\n",
      "0.0003993747197124932\n",
      "0.006634402785629247\n",
      "0.01603694498895504\n",
      "0.01026718114268223\n",
      "-0.026231231477766383\n",
      "0.015926796759802048\n",
      "-0.01581492343659174\n",
      "-0.017885969344547285\n",
      "-0.0030995368254480176\n",
      "0.021058854523869398\n",
      "-0.01418757196918307\n",
      "0.014299823786236744\n",
      "-0.007174226472725523\n",
      "0.00039678684820487135\n",
      "0.006636364196875362\n",
      "0.01603731392982273\n",
      "0.010266508810224211\n",
      "-0.026231445983117326\n",
      "0.015926772220487117\n",
      "-0.0158155283761548\n",
      "-0.017885608385144497\n",
      "-0.00310020689189071\n",
      "0.021058643732790327\n",
      "-0.014187603658079247\n",
      "0.014299223290212137\n",
      "-0.007172741969696506\n",
      "0.0003942162754385361\n",
      "0.006638313547340176\n",
      "0.016037681312182927\n",
      "0.010265840251305332\n",
      "-0.026231658518269023\n",
      "0.015926747254081483\n",
      "-0.015816130222967763\n",
      "-0.017885248944378762\n",
      "-0.003100873202915714\n",
      "0.02105843488107728\n",
      "-0.01418763572754566\n",
      "0.014298625863213761\n",
      "-0.007171267595916617\n",
      "0.00039166287733600184\n",
      "0.00664025090707529\n",
      "0.016038047133035936\n",
      "0.01026517545010641\n",
      "-0.026231869105689067\n",
      "0.01592672187281131\n",
      "-0.015816728984388146\n",
      "-0.017884891025251187\n",
      "-0.0031015357740931866\n",
      "0.02105822794664926\n",
      "-0.01418766816567638\n",
      "0.014298031497953691\n",
      "-0.0071698032756147955\n",
      "0.0003891265308431403\n",
      "0.006642176345796031\n",
      "0.016038411389613604\n",
      "0.010264514390774976\n",
      "-0.026232077767539427\n",
      "0.01592669608867043\n",
      "-0.015817324667928127\n",
      "-0.017884534630537716\n",
      "-0.0031021946210324936\n",
      "0.02105802290772318\n",
      "-0.014187700960795222\n",
      "0.014297440186990404\n",
      "-0.007168348933687405\n",
      "0.00038660711391872604\n",
      "0.0066440899328817585\n",
      "0.01603877407937431\n",
      "0.010263857057427687\n",
      "-0.026232284525681028\n",
      "0.015926669913424292\n",
      "-0.01581791728125026\n",
      "-0.017884179762793845\n",
      "-0.0031028497593796472\n",
      "0.021057819742809493\n",
      "-0.01418773410145185\n",
      "0.014296851922733018\n",
      "-0.007166904495690994\n",
      "0.0003841045055241519\n",
      "0.006645991737376209\n",
      "0.016039135199998097\n",
      "0.010263203434152721\n",
      "-0.026232489401678244\n",
      "0.015926643358613896\n",
      "-0.01581850683216326\n",
      "-0.01788382642435937\n",
      "-0.0031035012048147587\n",
      "0.0210576184307078\n",
      "-0.014187767576417838\n",
      "0.01429626669744547\n",
      "-0.007165469887835102\n",
      "0.00038161858561326786\n",
      "0.0066478818279878905\n",
      "0.01603949474938182\n",
      "0.010262553505012038\n",
      "-0.02623269241680342\n",
      "0.015926616435559614\n",
      "-0.015819093328617886\n",
      "-0.017883474617362942\n",
      "-0.003104148973049582\n",
      "0.02105741895050264\n",
      "-0.01418780137468291\n",
      "0.014295684503250595\n",
      "-0.007164045036975239\n",
      "0.0003791492351223181\n",
      "0.006649760273090456\n",
      "0.01603985272563447\n",
      "0.010261907254043658\n",
      "-0.02623289359204125\n",
      "0.015926589155365\n",
      "-0.0158196767787029\n",
      "-0.017883124343726645\n",
      "-0.003104793079825097\n",
      "0.021057221281559214\n",
      "-0.014187835485451153\n",
      "0.014295105332134135\n",
      "-0.0071626298706058715\n",
      "0.00037669633596007344\n",
      "0.0066516271407231625\n",
      "0.016040209127072547\n",
      "0.010261264665263878\n",
      "-0.026233092948093062\n",
      "0.015926561528920465\n",
      "-0.015820257190641104\n",
      "-0.017882775605170396\n",
      "-0.003105433540909133\n",
      "0.021057025403519305\n",
      "-0.014187869898137298\n",
      "0.014294529175948686\n",
      "-0.007161224316853568\n",
      "0.000374259770997999\n",
      "0.006653482498591279\n",
      "0.01604056395221545\n",
      "0.010260625722669428\n",
      "-0.02623329050538114\n",
      "0.01592653356690699\n",
      "-0.015820834572785443\n",
      "-0.017882428403216348\n",
      "-0.0031060703720940746\n",
      "0.021056831296297145\n",
      "-0.014187904602363166\n",
      "0.01429395602641754\n",
      "-0.007159828304470169\n",
      "0.0003718394240606353\n",
      "0.006655326414066647\n",
      "0.01604091719978109\n",
      "0.010259990410239568\n",
      "-0.02623348628405283\n",
      "0.01592650527979968\n",
      "-0.015821408933615184\n",
      "-0.01788208273919316\n",
      "-0.003106703589194588\n",
      "0.021056638940075412\n",
      "-0.014187939587954007\n",
      "0.014293385875138485\n",
      "-0.007158441762826124\n",
      "0.00036943517991601507\n",
      "0.006657158954188095\n",
      "0.016041268868681423\n",
      "0.010259358711938192\n",
      "-0.026233680303984735\n",
      "0.015926476677871334\n",
      "-0.01582198028173219\n",
      "-0.017881738614240205\n",
      "-0.003107333208045428\n",
      "0.021056448315301304\n",
      "-0.014187974844935036\n",
      "0.014292818713587509\n",
      "-0.007157064621903823\n",
      "0.0003670469242662836\n",
      "0.006658980185662031\n",
      "0.01604161895801823\n",
      "0.01025873061171582\n",
      "-0.026233872584786735\n",
      "0.015926447771195913\n",
      "-0.015822548625857243\n",
      "-0.01788139602931176\n",
      "-0.003107959244499259\n",
      "0.02105625940268258\n",
      "-0.014188010363527988\n",
      "0.014292254533122462\n",
      "-0.007155696812291093\n",
      "0.00036467454373837334\n",
      "0.006660790174862969\n",
      "0.016041967467078814\n",
      "0.010258106093511575\n",
      "-0.02623406314580597\n",
      "0.015926418569651962\n",
      "-0.015823113974826438\n",
      "-0.01788105498518098\n",
      "-0.0031085817144245725\n",
      "0.02105607218318377\n",
      "-0.014188046134147668\n",
      "0.014291693324986568\n",
      "-0.0071543382651747525\n",
      "0.0003623179258748109\n",
      "0.006662588987834117\n",
      "0.016042314395331898\n",
      "0.01025748514125515\n",
      "-0.026234252006130783\n",
      "0.015926389082925967\n",
      "-0.015823676337587654\n",
      "-0.017880715482443993\n",
      "-0.0031092006337035956\n",
      "0.021055886638022384\n",
      "-0.014188082147398647\n",
      "0.014291135080312007\n",
      "-0.007152988912334196\n",
      "0.00035997695912465787\n",
      "0.0066643766902879575\n",
      "0.016042659742423523\n",
      "0.010256867738868672\n",
      "-0.026234439184594623\n",
      "0.015926359320515705\n",
      "-0.015824235723197102\n",
      "-0.01788037752152374\n",
      "-0.0031098160182302893\n",
      "0.02105570274866519\n",
      "-0.014188118394071966\n",
      "0.014290579790123317\n",
      "-0.007151648686135165\n",
      "0.0003576515328345401\n",
      "0.006666153347606884\n",
      "0.01604300350817308\n",
      "0.010256253870268541\n",
      "-0.02623462469977977\n",
      "0.01592632929173347\n",
      "-0.015824792140815915\n",
      "-0.017880041102673883\n",
      "-0.0031104278839083873\n",
      "0.021055520496824538\n",
      "-0.014188154865141887\n",
      "0.014290027445340721\n",
      "-0.007150317519523498\n",
      "0.0003553415372398192\n",
      "0.006667919024843834\n",
      "0.01604334569256935\n",
      "0.010255643519367278\n",
      "-0.026234808570021157\n",
      "0.015926299005709285\n",
      "-0.015825345599706834\n",
      "-0.01787970622598256\n",
      "-0.0031110362466494623\n",
      "0.02105533986445475\n",
      "-0.014188191551762737\n",
      "0.014289478036783501\n",
      "-0.007148995346019026\n",
      "0.0003530468634558174\n",
      "0.00666967378672296\n",
      "0.016043686295766652\n",
      "0.010255036670075254\n",
      "-0.026234990813410027\n",
      "0.01592626847139405\n",
      "-0.01582589610923093\n",
      "-0.0178793728913761\n",
      "-0.0031116411223710396\n",
      "0.021055160833748598\n",
      "-0.014188228445265759\n",
      "0.01428893155517318\n",
      "-0.007147682099709525\n",
      "0.00035076740346921104\n",
      "0.006671417697640299\n",
      "0.016044025318081096\n",
      "0.010254433306302437\n",
      "-0.02623517144779755\n",
      "0.01592623769756265\n",
      "-0.01582644367884441\n",
      "-0.017879041098622674\n",
      "-0.0031122425269947663\n",
      "0.021054983387133765\n",
      "-0.01418826553715604\n",
      "0.014288387991136749\n",
      "-0.007146377715244726\n",
      "0.0003485030501295131\n",
      "0.0066731508216644675\n",
      "0.016044362759986833\n",
      "0.010253833411960064\n",
      "-0.026235350490798427\n",
      "0.015926206692816997\n",
      "-0.015826988318095495\n",
      "-0.017878710847335916\n",
      "-0.0031128404764446233\n",
      "0.021054807507269426\n",
      "-0.01418830281910948\n",
      "0.014287847335209722\n",
      "-0.007145082127830425\n",
      "0.0003462536971405997\n",
      "0.006674873222537414\n",
      "0.016044698622112406\n",
      "0.010253236970962325\n",
      "-0.02623552795979439\n",
      "0.01592617546558904\n",
      "-0.015827530036621292\n",
      "-0.01787838213697836\n",
      "-0.003113434986645166\n",
      "0.02105463317704284\n",
      "-0.014188340282969837\n",
      "0.01428730957783924\n",
      "-0.007143795273222681\n",
      "0.0003440192390524591\n",
      "0.0066765849636751156\n",
      "0.016045032905237195\n",
      "0.01025264396722793\n",
      "-0.026235703871937643\n",
      "0.015926144024143687\n",
      "-0.015828068844144838\n",
      "-0.017878054966864988\n",
      "-0.0031140260735198055\n",
      "0.021054460379565997\n",
      "-0.014188377920745772\n",
      "0.014286774709387043\n",
      "-0.007142517087722049\n",
      "0.0003417995712529406\n",
      "0.006678286108168349\n",
      "0.016045365610287892\n",
      "0.010252054384681708\n",
      "-0.02623587824415431\n",
      "0.01592611237658173\n",
      "-0.01582860475047213\n",
      "-0.01787772933616656\n",
      "-0.0031146137529891576\n",
      "0.021054289098172373\n",
      "-0.014188415724607993\n",
      "0.014286242720132392\n",
      "-0.007141247508167909\n",
      "0.0003395945899596276\n",
      "0.006679976718783498\n",
      "0.016045696738335048\n",
      "0.010251468207256156\n",
      "-0.026236051093147753\n",
      "0.01592608053084268\n",
      "-0.015829137765489176\n",
      "-0.017877405243912955\n",
      "-0.00311519804096939\n",
      "0.021054119316413652\n",
      "-0.014188453686886399\n",
      "0.014285713600274976\n",
      "-0.007139986471932867\n",
      "0.00033740419221182623\n",
      "0.006681656857963284\n",
      "0.016046026290589686\n",
      "0.010250885418892906\n",
      "-0.02623622243540191\n",
      "0.015926048494707603\n",
      "-0.01582966789915923\n",
      "-0.017877082688996477\n",
      "-0.003115778953370624\n",
      "0.021053951018056516\n",
      "-0.014188491800067331\n",
      "0.014285187339937708\n",
      "-0.007138733916917221\n",
      "0.0003352282758626694\n",
      "0.006683326587827616\n",
      "0.016046354268399995\n",
      "0.010250306003544239\n",
      "-0.026236392287184496\n",
      "0.01592601627580182\n",
      "-0.01583019516151993\n",
      "-0.017876761670175018\n",
      "-0.0031163565060954145\n",
      "0.021053784187079563\n",
      "-0.014188530056790804\n",
      "0.014284663929169487\n",
      "-0.007137489781543508\n",
      "0.0003330667395712743\n",
      "0.006684985970174393\n",
      "0.016046680673248055\n",
      "0.010249729945174464\n",
      "-0.026236560664550237\n",
      "0.01592598388159769\n",
      "-0.01583071956268065\n",
      "-0.01787644218607528\n",
      "-0.003116930715037195\n",
      "0.02105361880767017\n",
      "-0.01418856844984782\n",
      "0.014284143357947934\n",
      "-0.007136254004751097\n",
      "0.0003309194827949619\n",
      "0.006686635066480356\n",
      "0.016047005506746634\n",
      "0.010249157227761381\n",
      "-0.026236727583344\n",
      "0.015925951319417212\n",
      "-0.015831241112819746\n",
      "-0.01787612423519579\n",
      "-0.003117501596078798\n",
      "0.021053454864221437\n",
      "-0.01418860697217774\n",
      "0.014283625616182016\n",
      "-0.007135026525990862\n",
      "0.00032878640578171635\n",
      "0.0066882739379019295\n",
      "0.016047328770636055\n",
      "0.010248587835297585\n",
      "-0.026236893059203913\n",
      "0.015925918596434704\n",
      "-0.015831759822181983\n",
      "-0.01787580781591\n",
      "-0.0031180691650910253\n",
      "0.02105329234132924\n",
      "-0.014188645616865643\n",
      "0.014283110693714665\n",
      "-0.0071338072852199395\n",
      "0.0003266674095625557\n",
      "0.006689902645276098\n",
      "0.016047650466781114\n",
      "0.010248021751791844\n",
      "-0.026237057107564382\n",
      "0.01592588571967934\n",
      "-0.01583227570107596\n",
      "-0.017875492926469255\n",
      "-0.003118633437931237\n",
      "0.02105313122378922\n",
      "-0.014188684377139802\n",
      "0.014282598580325325\n",
      "-0.007132596222896537\n",
      "0.00032456239594413276\n",
      "0.006691521249121269\n",
      "0.016047970597168032\n",
      "0.01024745896127037\n",
      "-0.026237219743659116\n",
      "0.015925852696037718\n",
      "-0.015832788759871565\n",
      "-0.01787517956500572\n",
      "-0.003119194430441956\n",
      "0.0210529714965939\n",
      "-0.014188723246369158\n",
      "0.014282089265732463\n",
      "-0.007131393279974768\n",
      "0.0003224712675013018\n",
      "0.0066931298096382106\n",
      "0.01604828916390154\n",
      "0.010246899447778117\n",
      "-0.026237380982524094\n",
      "0.015925819532256323\n",
      "-0.01583329900899754\n",
      "-0.017874867729535265\n",
      "-0.0031197521584495212\n",
      "0.02105281314492982\n",
      "-0.01418876221806081\n",
      "0.014281582739595984\n",
      "-0.007130198397899633\n",
      "0.0003203939275699063\n",
      "0.006694728386710893\n",
      "0.016048606169201875\n",
      "0.010246343195380004\n",
      "-0.02623754083900044\n",
      "0.015925786234944027\n",
      "-0.015833806458939042\n",
      "-0.017874557417960287\n",
      "-0.0031203066377628176\n",
      "0.021052656154174714\n",
      "-0.014188801285857628\n",
      "0.014281078991519675\n",
      "-0.007129011518601999\n",
      "0.00031833028023956655\n",
      "0.0066963170399074925\n",
      "0.01604892161540203\n",
      "0.010245790188162114\n",
      "-0.026237699327737306\n",
      "0.015925752810574453\n",
      "-0.015834311120235284\n",
      "-0.017874248628072485\n",
      "-0.0031208578841719426\n",
      "0.021052500509894725\n",
      "-0.014188840443535829\n",
      "0.014280578011053532\n",
      "-0.007127832584493661\n",
      "0.0003162802303465126\n",
      "0.0066978958284812495\n",
      "0.016049235504944852\n",
      "0.0102452404102329\n",
      "-0.026237856463194684\n",
      "0.01592571926548838\n",
      "-0.015834813003477215\n",
      "-0.017873941357555566\n",
      "-0.0031214059134470054\n",
      "0.021052346197841687\n",
      "-0.014188879685002627\n",
      "0.014280079787696045\n",
      "-0.007126661538462462\n",
      "0.00031424368346668295\n",
      "0.006699464811371454\n",
      "0.01604954784038032\n",
      "0.010244693845724325\n",
      "-0.026238012259646202\n",
      "0.01592568560589607\n",
      "-0.015835312119305237\n",
      "-0.017873635603987952\n",
      "-0.0031219507413368765\n",
      "0.021052193203950412\n",
      "-0.014188919004293919\n",
      "0.014279584310896511\n",
      "-0.007125498323867476\n",
      "0.0003122205459086632\n",
      "0.00670102404720441\n",
      "0.016049858624362888\n",
      "0.010244150478792964\n",
      "-0.026238166731181824\n",
      "0.015925651837879536\n",
      "-0.01583580847840698\n",
      "-0.01787333136484537\n",
      "-0.003122492383568025\n",
      "0.021052041514336033\n",
      "-0.014188958395572016\n",
      "0.01427909157005719\n",
      "-0.007124342884534264\n",
      "0.00031021072470687437\n",
      "0.006702573594294381\n",
      "0.016050167859648756\n",
      "0.010243610293621131\n",
      "-0.026238319891710552\n",
      "0.015925617967394858\n",
      "-0.015836302091515136\n",
      "-0.01787302863750345\n",
      "-0.0031230308558433577\n",
      "0.021051891115291436\n",
      "-0.014188997853123388\n",
      "0.014278601554535498\n",
      "-0.007123195164750161\n",
      "0.0003082141276148221\n",
      "0.0067041135106445824\n",
      "0.01605047554909333\n",
      "0.010243073274417923\n",
      "-0.02623847175496308\n",
      "0.015925584000274336\n",
      "-0.015836792969405294\n",
      "-0.017872727419240224\n",
      "-0.003123566173841097\n",
      "0.02105174199328463\n",
      "-0.014189037371356466\n",
      "0.014278114253646121\n",
      "-0.007122055109259631\n",
      "0.0003062306630983469\n",
      "0.0067056438539481724\n",
      "0.01605078169564863\n",
      "0.010242539405420262\n",
      "-0.026238622334494397\n",
      "0.015925549942228702\n",
      "-0.015837281122893874\n",
      "-0.017872427707238653\n",
      "-0.0031240983532136663\n",
      "0.021051594134956254\n",
      "-0.014189076944799496\n",
      "0.014277629656663102\n",
      "-0.007120922663259706\n",
      "0.0003042602403290249\n",
      "0.0067071646815892475\n",
      "0.016051086302360795\n",
      "0.010242008670893907\n",
      "-0.026238771643686327\n",
      "0.015925515798849283\n",
      "-0.015837766562836055\n",
      "-0.017872129498589018\n",
      "-0.0031246274095866476\n",
      "0.021051447527117056\n",
      "-0.014189116568098376\n",
      "0.014277147752821852\n",
      "-0.007119797772395427\n",
      "0.00030230276917765745\n",
      "0.006708676050643848\n",
      "0.016051389372367653\n",
      "0.010241481055134472\n",
      "-0.026238919695750096\n",
      "0.015925481575610075\n",
      "-0.015838249300123782\n",
      "-0.017871832790291333\n",
      "-0.0031251533585577164\n",
      "0.02105130215674547\n",
      "-0.014189156236014595\n",
      "0.014276668531321195\n",
      "-0.00711868038275541\n",
      "0.0003003581602077341\n",
      "0.00671017801788101\n",
      "0.01605169090889626\n",
      "0.010240956542468324\n",
      "-0.026239066503728786\n",
      "0.015925447277869844\n",
      "-0.015838729345683797\n",
      "-0.017871537579257673\n",
      "-0.0031256762156956458\n",
      "0.021051158010985165\n",
      "-0.014189195943423154\n",
      "0.014276191981325244\n",
      "-0.007117570440867386\n",
      "0.0002984263246690911\n",
      "0.006711670639763753\n",
      "0.01605199091526057\n",
      "0.010240435117253574\n",
      "-0.026239212080499792\n",
      "0.015925412910874154\n",
      "-0.015839206710475714\n",
      "-0.017871243862314496\n",
      "-0.003126195996539313\n",
      "0.021051015077142674\n",
      "-0.01418923568531056\n",
      "0.014275718091965388\n",
      "-0.007116467893693879\n",
      "0.00029650717449157885\n",
      "0.00671315397245014\n",
      "0.01605228939485911\n",
      "0.010239916763880976\n",
      "-0.02623935643877722\n",
      "0.015925378479757366\n",
      "-0.015839681405490105\n",
      "-0.017870951636204894\n",
      "-0.0031267127165967323\n",
      "0.021050873342685066\n",
      "-0.014189275456772803\n",
      "0.014275246852342119\n",
      "-0.007115372688627861\n",
      "0.0002946006222788176\n",
      "0.006714628071794325\n",
      "0.016052586351172692\n",
      "0.0102394014667748\n",
      "-0.026239499591114292\n",
      "0.01592534398954463\n",
      "-0.01584015344174671\n",
      "-0.0178706608975908\n",
      "-0.0031272263913441276\n",
      "0.021050732795237594\n",
      "-0.014189315253013438\n",
      "0.014274778251526867\n",
      "-0.007114284773488521\n",
      "0.00029270658130199824\n",
      "0.006716092993347604\n",
      "0.016052881787762173\n",
      "0.010238889210393705\n",
      "-0.02623964154990563\n",
      "0.01592530944515382\n",
      "-0.015840622830292597\n",
      "-0.01787037164305517\n",
      "-0.00312773703622502\n",
      "0.02105059342258148\n",
      "-0.014189355069341643\n",
      "0.014274312278563817\n",
      "-0.007113204096517042\n",
      "0.0002908249654938428\n",
      "0.006717548792359477\n",
      "0.01605317570826629\n",
      "0.010238379979231582\n",
      "-0.02623978232738958\n",
      "0.015925274851397418\n",
      "-0.015841089582200384\n",
      "-0.017870083869104138\n",
      "-0.0031282446666493382\n",
      "0.021050455212651628\n",
      "-0.014189394901170316\n",
      "0.014273848922471645\n",
      "-0.007112130606372453\n",
      "0.0002889556894424757\n",
      "0.0067189955237787185\n"
     ]
    }
   ],
   "source": [
    "# Assume we have some ratings matrix R\n",
    "R = np.array(\n",
    "    [[5, 3, 0, 1], [4, 0, 0, 1], [1, 1, 0, 5], [1, 0, 0, 4], [0, 1, 5, 4]],\n",
    "    dtype=np.float32,\n",
    ")\n",
    "\n",
    "# Initialize user and item embedding matrices\n",
    "num_users, num_items = R.shape\n",
    "\n",
    "# Initialize user and item bias vectors\n",
    "user_bias = np.zeros(num_users)\n",
    "item_bias = np.zeros(num_items)\n",
    "\n",
    "# Initialize average rating.\n",
    "avg_rating = R[R.nonzero()].mean()\n",
    "\n",
    "# Define the learning rate and regularization strength\n",
    "lr = 0.01\n",
    "reg_strength = 1e-5\n",
    "losses = []\n",
    "mask = R > 0\n",
    "known_ratings = np.sum(mask)\n",
    "tol = 1e-3\n",
    "\n",
    "# Define the loss function\n",
    "# NOTE: This is probably not the same as the evaluation function.\n",
    "# We want to minimize this, by using the gradient.\n",
    "# For errors however, we can just use anything, like MSE, SSE etc.\n",
    "def sse(avg_rating, user_bias, item_bias):\n",
    "    R_hat = avg_rating + user_bias[:, None] + item_bias[None, :]\n",
    "\n",
    "    loss = np.square(R - R_hat)[mask].sum() + reg_strength * (\n",
    "        np.square(user_bias).sum()\n",
    "        + np.square(item_bias).sum()\n",
    "        + np.square(U).sum()\n",
    "        + np.square(V).sum()\n",
    "    )\n",
    "    return loss\n",
    "\n",
    "\n",
    "def mse(avg_rating, user_bias, item_bias):\n",
    "    R_hat = avg_rating + user_bias[:, None] + item_bias[None, :]\n",
    "    return np.square(R - R_hat)[mask].sum() / known_ratings\n",
    "\n",
    "\n",
    "T = 500\n",
    "# Run the optimization\n",
    "for t in range(T):\n",
    "    for u, i in zip(*R.nonzero()):\n",
    "        b_u = user_bias[u]\n",
    "        b_i = item_bias[i]\n",
    "        R_hat = avg_rating + b_u + b_i\n",
    "        err = R[u, i] - R_hat\n",
    "\n",
    "        # Update parameters\n",
    "        user_bias[u] += lr * (err - reg_strength * b_u)\n",
    "        item_bias[i] += lr * (err - reg_strength * b_i)\n",
    "    loss = mse(avg_rating, user_bias, item_bias)\n",
    "    losses.append(loss)\n",
    "    if loss < tol:\n",
    "        print(f\"Terminating after {t} iterations, loss={loss}\")\n",
    "        break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "3a5bc00c-abbc-4c5f-86e3-51a08513267d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-31T16:38:03.191810Z",
     "iopub.status.busy": "2024-01-31T16:38:03.190554Z",
     "iopub.status.idle": "2024-01-31T16:38:03.523246Z",
     "shell.execute_reply": "2024-01-31T16:38:03.522540Z",
     "shell.execute_reply.started": "2024-01-31T16:38:03.191766Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x12788bc10>]"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(losses)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "91c0a333-4b88-4223-89e5-91d0ce4be015",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-31T16:38:27.735188Z",
     "iopub.status.busy": "2024-01-31T16:38:27.732271Z",
     "iopub.status.idle": "2024-01-31T16:38:27.771639Z",
     "shell.execute_reply": "2024-01-31T16:38:27.768751Z",
     "shell.execute_reply.started": "2024-01-31T16:38:27.735116Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Original ratings:\n",
      "[[5. 3. 0. 1.]\n",
      " [4. 0. 0. 1.]\n",
      " [1. 1. 0. 5.]\n",
      " [1. 0. 0. 4.]\n",
      " [0. 1. 5. 4.]]\n"
     ]
    }
   ],
   "source": [
    "print(\"Original ratings:\")\n",
    "print(R)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "080878c4-e545-42ac-97f9-a5051410cab5",
   "metadata": {},
   "source": [
    "### Reconstructed Ratings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "ab88e638-0338-4b3e-909d-9b0ddff33772",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-31T16:38:28.494587Z",
     "iopub.status.busy": "2024-01-31T16:38:28.493245Z",
     "iopub.status.idle": "2024-01-31T16:38:28.510272Z",
     "shell.execute_reply": "2024-01-31T16:38:28.507776Z",
     "shell.execute_reply.started": "2024-01-31T16:38:28.494546Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reconstructed ratings:\n",
      "[[3.39 1.96 5.23 3.6 ]\n",
      " [2.39 0.96 4.23 2.59]\n",
      " [2.76 1.32 4.59 2.96]\n",
      " [2.4  0.97 4.24 2.61]\n",
      " [3.14 1.7  4.98 3.34]]\n"
     ]
    }
   ],
   "source": [
    "print(\"Reconstructed ratings:\")\n",
    "R_hat = avg_rating + user_bias[:, None] + item_bias[None, :]\n",
    "print(np.round(R_hat, 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "f5caec58-d8ac-45d8-b3b9-fff00642e2ef",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-31T15:09:36.271736Z",
     "iopub.status.busy": "2024-01-31T15:09:36.271298Z",
     "iopub.status.idle": "2024-01-31T15:09:36.283439Z",
     "shell.execute_reply": "2024-01-31T15:09:36.281848Z",
     "shell.execute_reply.started": "2024-01-31T15:09:36.271703Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.133126894011934"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sse_loss(avg_rating, user_bias, item_bias)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "499e56e7-68a8-44c8-95f3-f48c78fed32c",
   "metadata": {},
   "source": [
    "## SVD\n",
    "\n",
    "See formula here:\n",
    "\n",
    "https://github.com/recommenders-team/recommenders/blob/main/examples/02_model_collaborative_filtering/surprise_svd_deep_dive.ipynb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "b7338268-639f-49d8-82dc-b1021358506f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-31T16:42:10.694568Z",
     "iopub.status.busy": "2024-01-31T16:42:10.688501Z",
     "iopub.status.idle": "2024-01-31T16:42:10.949572Z",
     "shell.execute_reply": "2024-01-31T16:42:10.947537Z",
     "shell.execute_reply.started": "2024-01-31T16:42:10.694502Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "# Assume we have some ratings matrix R\n",
    "R = np.array(\n",
    "    [[5, 3, 0, 1], [4, 0, 0, 1], [1, 1, 0, 5], [1, 0, 0, 4], [0, 1, 5, 4]],\n",
    "    dtype=np.float32,\n",
    ")\n",
    "\n",
    "# Initialize user and item embedding matrices\n",
    "num_users, num_items = R.shape\n",
    "embedding_dim = 10\n",
    "U = np.random.normal(size=(num_users, embedding_dim))\n",
    "V = np.random.normal(size=(num_items, embedding_dim))\n",
    "non_zero_mask = R > 0\n",
    "known_ratings = np.sum(non_zero_mask)\n",
    "\n",
    "# Initialize user and item bias vectors\n",
    "user_bias = np.zeros(num_users)\n",
    "item_bias = np.zeros(num_items)\n",
    "\n",
    "# Initialize average rating.\n",
    "avg_rating = R[R.nonzero()].mean()\n",
    "\n",
    "# Define the learning rate and regularization strength\n",
    "lr = 0.01\n",
    "reg_strength = 1e-5\n",
    "tol = 1e-3\n",
    "losses = []\n",
    "\n",
    "mask = R > 0\n",
    "# We take into considerating the known ratings only when calculating errors.\n",
    "known_ratings = np.sum(mask)\n",
    "\n",
    "# Define the loss function\n",
    "# NOTE: this is the loss function, but for evaluation we can just use the MSE.\n",
    "# This loss function is converted into gradient calculation to minimize the loss.\n",
    "def sse_loss(U, V, user_bias, item_bias, avg_rating, R):\n",
    "    R_hat = U @ V.T + user_bias[:, None] + item_bias[None, :] + avg_rating\n",
    "\n",
    "    # Squared sum error (SSE) of known ratings.\n",
    "    loss = np.sum(np.square((R - R_hat)[non_zero_mask]))\n",
    "    # Add regularization\n",
    "    loss += reg_strength * (\n",
    "        np.sum([np.square(v).sum() for v in [U, V, user_bias, item_bias]])\n",
    "    )\n",
    "    return loss\n",
    "\n",
    "\n",
    "# Run the optimization\n",
    "for t in range(500):\n",
    "    for u, i in zip(*R.nonzero()):\n",
    "        b_u = user_bias[u]\n",
    "        b_i = item_bias[i]\n",
    "        R_hat = U[u] @ V[i].T + b_u + b_i + avg_rating\n",
    "        err = R[u, i] - R_hat\n",
    "\n",
    "        # Compute gradients\n",
    "        grad_U = err * V[i] - reg_strength * U[u]\n",
    "        grad_V = err * U[u] - reg_strength * V[i]\n",
    "        grad_user_bias = err - reg_strength * b_u\n",
    "        grad_item_bias = err - reg_strength * b_i\n",
    "\n",
    "        # Update parameters\n",
    "        U[u] += lr * grad_U\n",
    "        V[i] += lr * grad_V\n",
    "        user_bias[u] += lr * grad_user_bias\n",
    "        item_bias[i] += lr * grad_item_bias\n",
    "\n",
    "    loss = sse_loss(U, V, user_bias, item_bias, avg_rating, R)\n",
    "    if i % 100 == 0:\n",
    "        print(\"Iteration\", i, \"Loss\", loss)\n",
    "    losses.append(loss)\n",
    "    if loss < tol:\n",
    "        print(f\"Terminating after {t} iterations, loss={loss}\")\n",
    "        break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "c501f398-e26e-4630-a127-e0cad86e7daf",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-31T16:42:11.349533Z",
     "iopub.status.busy": "2024-01-31T16:42:11.348176Z",
     "iopub.status.idle": "2024-01-31T16:42:11.647489Z",
     "shell.execute_reply": "2024-01-31T16:42:11.645950Z",
     "shell.execute_reply.started": "2024-01-31T16:42:11.349452Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x127888070>]"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(losses)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "id": "304e610f-4cc2-4afd-8202-00e84f558216",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-31T16:42:12.191914Z",
     "iopub.status.busy": "2024-01-31T16:42:12.191310Z",
     "iopub.status.idle": "2024-01-31T16:42:12.206633Z",
     "shell.execute_reply": "2024-01-31T16:42:12.203001Z",
     "shell.execute_reply.started": "2024-01-31T16:42:12.191870Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Original ratings:\n",
      "[[5. 3. 0. 1.]\n",
      " [4. 0. 0. 1.]\n",
      " [1. 1. 0. 5.]\n",
      " [1. 0. 0. 4.]\n",
      " [0. 1. 5. 4.]]\n"
     ]
    }
   ],
   "source": [
    "print(\"Original ratings:\")\n",
    "print(R)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ca0cdb3e-0290-450c-aecb-7c58ce9adc46",
   "metadata": {},
   "source": [
    "### Reconstructed Ratings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "9af3b788-a9ec-4d90-a88e-bb2f48a7cc44",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-31T16:42:13.385971Z",
     "iopub.status.busy": "2024-01-31T16:42:13.385505Z",
     "iopub.status.idle": "2024-01-31T16:42:13.402975Z",
     "shell.execute_reply": "2024-01-31T16:42:13.399985Z",
     "shell.execute_reply.started": "2024-01-31T16:42:13.385935Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reconstructed ratings:\n",
      "[[ 5.    3.    2.25  1.  ]\n",
      " [ 4.    3.8  -4.63  1.  ]\n",
      " [ 1.    1.    5.24  5.  ]\n",
      " [ 1.   10.37 -6.57  4.  ]\n",
      " [ 5.9   1.    5.    4.  ]]\n"
     ]
    }
   ],
   "source": [
    "print(\"Reconstructed ratings:\")\n",
    "R_hat = U @ V.T + user_bias[:, None] + item_bias[None, :] + avg_rating\n",
    "print(np.round(R_hat, 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "43242662-d787-47fb-82da-f54633c24650",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-31T15:11:44.498394Z",
     "iopub.status.busy": "2024-01-31T15:11:44.497523Z",
     "iopub.status.idle": "2024-01-31T15:11:44.523840Z",
     "shell.execute_reply": "2024-01-31T15:11:44.521926Z",
     "shell.execute_reply.started": "2024-01-31T15:11:44.498347Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0009628049799044417"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sse_loss(U, V, user_bias, item_bias, avg_rating, R)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2a50dc98-c5a4-457c-8558-2d327d726cfd",
   "metadata": {},
   "source": [
    "### Output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "97e104f5-e799-4294-b687-6ded014c47b3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-31T15:12:02.268078Z",
     "iopub.status.busy": "2024-01-31T15:12:02.266955Z",
     "iopub.status.idle": "2024-01-31T15:12:02.377679Z",
     "shell.execute_reply": "2024-01-31T15:12:02.375260Z",
     "shell.execute_reply.started": "2024-01-31T15:12:02.267979Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[5. , 3. , 2. , 1. ],\n",
       "       [4. , 1.3, 4. , 1. ],\n",
       "       [1. , 1. , 5. , 5. ],\n",
       "       [1. , 2.5, 4. , 4. ],\n",
       "       [5. , 1. , 5. , 4. ]], dtype=float32)"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# If the replace does not work, check if the data type for R matches R_hat, which is float.\n",
    "# If the data type of the matrix to replace does not match, it will silently failed.\n",
    "mask = R == 0\n",
    "R[mask] = R_hat[mask]\n",
    "np.round(np.clip(R, 0, 5), 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "04eb3274-7d0b-4ff9-9f63-25cc43b1a7ac",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T20:25:33.187492Z",
     "iopub.status.busy": "2024-01-29T20:25:33.185302Z",
     "iopub.status.idle": "2024-01-29T20:25:33.279503Z",
     "shell.execute_reply": "2024-01-29T20:25:33.270085Z",
     "shell.execute_reply.started": "2024-01-29T20:25:33.187436Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 5.  ,  3.  ,  2.09,  1.  ],\n",
       "       [ 4.  , -7.36,  6.09,  1.  ],\n",
       "       [ 1.  ,  1.  ,  4.27,  5.  ],\n",
       "       [ 1.  ,  1.59,  3.13,  4.  ],\n",
       "       [ 3.89,  1.  ,  5.  ,  4.  ]], dtype=float32)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "R_hat = (\n",
    "    U.numpy() @ V.numpy().T\n",
    "    + avg_rating.numpy()\n",
    "    + user_bias.numpy()[:, None]\n",
    "    + item_bias.numpy()[None, :]\n",
    ")\n",
    "np.round(R_hat, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e4528928-6e5c-49b5-ad73-b1f08342a7b4",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.13"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {},
    "version_major": 2,
    "version_minor": 0
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}