cnn_test.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-12-22T19:58:21.236381Z",
     "start_time": "2021-12-22T19:58:15.073526Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "\n",
       "require(['notebook/js/codecell'], function(codecell) {\n",
       "  codecell.CodeCell.options_default.highlight_modes[\n",
       "      'magic_text/x-csrc'] = {'reg':[/^%%microblaze/]};\n",
       "  Jupyter.notebook.events.one('kernel_ready.Kernel', function(){\n",
       "      Jupyter.notebook.get_cells().map(function(cell){\n",
       "          if (cell.cell_type == 'code'){ cell.auto_highlight(); } }) ;\n",
       "  });\n",
       "});\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd  # 做数据分析\n",
    "import numpy as np  # 数据处理\n",
    "import matplotlib.pyplot as plt  # 绘图\n",
    "from pynq import Overlay\n",
    "from pynq import Xlnk\n",
    "import time\n",
    "overlay = Overlay('/home/xilinx/jupyter_notebooks/cnn/ip/cnn.bit')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-12-22T19:58:40.263477Z",
     "start_time": "2021-12-22T19:58:40.248727Z"
    }
   },
   "outputs": [],
   "source": [
    "#overlay?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-12-22T19:58:40.959450Z",
     "start_time": "2021-12-22T19:58:40.935355Z"
    }
   },
   "outputs": [],
   "source": [
    "cnn_ip=overlay.LetNet_0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-12-22T19:58:41.437993Z",
     "start_time": "2021-12-22T19:58:41.423892Z"
    }
   },
   "outputs": [],
   "source": [
    "#cnn_ip?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-12-22T19:58:41.958540Z",
     "start_time": "2021-12-22T19:58:41.944478Z"
    }
   },
   "outputs": [],
   "source": [
    "#cnn_ip.write?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-12-22T19:58:42.481811Z",
     "start_time": "2021-12-22T19:58:42.416122Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "402972672\n",
      "402980864\n"
     ]
    }
   ],
   "source": [
    "xlnk=Xlnk()\n",
    "input_buffer = xlnk.cma_array(shape=(1532), dtype=np.float32)\n",
    "output_buffer=xlnk.cma_array(shape=(1532),dtype=np.float32)\n",
    "input_buffer.flush()\n",
    "output_buffer.flush()\n",
    "print(input_buffer.physical_address)\n",
    "print(output_buffer.physical_address)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-12-22T19:58:43.251346Z",
     "start_time": "2021-12-22T19:58:43.210328Z"
    }
   },
   "outputs": [],
   "source": [
    "cnn_ip.write(0x10,input_buffer.physical_address)\n",
    "cnn_ip.write(0x18,output_buffer.physical_address)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-12-22T19:58:44.682649Z",
     "start_time": "2021-12-22T19:58:44.298490Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1532,)\n"
     ]
    }
   ],
   "source": [
    "with open('/home/xilinx/jupyter_notebooks/cnn/data/weights_1_02_70_col0.txt', 'r') as f:\n",
    "    file = f.read()\n",
    "col0 = file.split()\n",
    "col0 = np.array(col0, dtype=float)\n",
    "print(col0.shape)\n",
    "with open('/home/xilinx/jupyter_notebooks/cnn/data/weights_1_02_70_col1.txt', 'r') as f:\n",
    "    file = f.read()\n",
    "col1 = file.split()\n",
    "col1 = np.array(col1, dtype=float)\n",
    "with open('/home/xilinx/jupyter_notebooks/cnn/data/weights_1_02_70_col2.txt', 'r') as f:\n",
    "    file = f.read()\n",
    "col2 = file.split()\n",
    "col2 = np.array(col2, dtype=float)\n",
    "with open('/home/xilinx/jupyter_notebooks/cnn/data/weights_1_02_70_col3.txt', 'r') as f:\n",
    "    file = f.read()\n",
    "col3 = file.split()\n",
    "col3 = np.array(col3, dtype=float)\n",
    "with open('/home/xilinx/jupyter_notebooks/cnn/data/weights_1_02_70_col4.txt', 'r') as f:\n",
    "    file = f.read()\n",
    "col4 = file.split()\n",
    "col4 = np.array(col4, dtype=float)\n",
    "with open('/home/xilinx/jupyter_notebooks/cnn/data/weights_1_02_70_col5.txt', 'r') as f:\n",
    "    file = f.read()\n",
    "col5 = file.split()\n",
    "col5 = np.array(col5, dtype=float)\n",
    "with open('/home/xilinx/jupyter_notebooks/cnn/data/weights_1_02_70_col6.txt', 'r') as f:\n",
    "    file = f.read()\n",
    "col6 = file.split()\n",
    "col6 = np.array(col6, dtype=float)\n",
    "with open('/home/xilinx/jupyter_notebooks/cnn/data/weights_1_02_70_col7.txt', 'r') as f:\n",
    "    file = f.read()\n",
    "col7= file.split()\n",
    "col7 = np.array(col7, dtype=float)\n",
    "with open('/home/xilinx/jupyter_notebooks/cnn/data/weights_1_02_70_col8.txt', 'r') as f:\n",
    "    file = f.read()\n",
    "col8 = file.split()\n",
    "col8 = np.array(col8, dtype=float)\n",
    "with open('/home/xilinx/jupyter_notebooks/cnn/data/weights_1_02_70_col9.txt', 'r') as f:\n",
    "    file = f.read()\n",
    "col9 = file.split()\n",
    "col9 = np.array(col9, dtype=float)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-12-22T19:58:47.724463Z",
     "start_time": "2021-12-22T19:58:47.624460Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(8730,)\n",
      "(873, 10)\n"
     ]
    }
   ],
   "source": [
    "with open('/home/xilinx/jupyter_notebooks/cnn/data/1_0.2_70_noise1.txt', 'r') as f:\n",
    "    file = f.read()\n",
    "data = file.split()\n",
    "data = np.array(data, dtype=float)\n",
    "print(data.shape)\n",
    "data = data.reshape(873, 10)\n",
    "print(data.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-12-22T19:58:48.412676Z",
     "start_time": "2021-12-22T19:58:48.359356Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(873, 10)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_out=np.zeros([873,10])\n",
    "data_out.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-12-22T20:07:54.882981Z",
     "start_time": "2021-12-22T20:07:45.206365Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.00154175036781\n",
      "0.385914206505 0.348328709602 0.185070604086 0.150340974331 0.000186801247764 0.448076754808 0.448286503553 0.441774278879 0.439128190279 0.189435198903 \n",
      "0.382601350546 0.352017909288 0.186203479767 0.148470953107 0.000202784081921 0.447141468525 0.448410928249 0.446328371763 0.453239530325 0.190821185708 \n",
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      "0.431112766266 0.398872047663 0.191498368979 0.155932337046 0.000186894350918 0.385567754507 0.386754930019 0.38770711422 0.369012504816 0.191404536366 \n",
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      "0.437553733587 0.396441549063 0.190839752555 0.154084146023 0.000154537614435 0.386086374521 0.385223329067 0.382543742657 0.367847949266 0.191708505154 \n",
      "0.437312632799 0.399488955736 0.191290184855 0.156206309795 0.000223722585361 0.386146068573 0.387649774551 0.381506800652 0.38084128499 0.191516295075 \n",
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      "0.436834126711 0.394840627909 0.191329494119 0.154992237687 0.000372824957594 0.392119467258 0.39122197032 0.383895218372 0.384269297123 0.192047312856 \n",
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      "0.433476597071 0.399575561285 0.195441067219 0.16054277122 0.000186537188711 0.396353840828 0.39869582653 0.396296024323 0.403467595577 0.192528218031 \n",
      "0.430663704872 0.401742249727 0.196168631315 0.159675866365 0.000202521536266 0.39819958806 0.395074665546 0.398083657026 0.401536464691 0.194010481238 \n",
      "0.43278875947 0.39817070961 0.196921393275 0.16062580049 0.000151704763994 0.397667706013 0.397996395826 0.396645873785 0.403379887342 0.193382978439 \n",
      "0.430782258511 0.398347377777 0.194903343916 0.159415081143 0.000154214867507 0.396469891071 0.395859271288 0.398112684488 0.403615534306 0.193326115608 \n",
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      "0.429192990065 0.397938549519 0.195633903146 0.159576192498 0.000372172420612 0.397522687912 0.397493004799 0.398405313492 0.400247275829 0.193574309349 \n",
      "0.430268794298 0.398608148098 0.19553861022 0.161070376635 0.000170746905496 0.397967547178 0.395945847034 0.396441549063 0.402941852808 0.191804423928 \n",
      "0.427370250225 0.399692088366 0.193724140525 0.159743875265 0.000177610854735 0.39825963974 0.396617114544 0.398462831974 0.399370491505 0.194066420197 \n",
      "0.430207431316 0.398900926113 0.198269799352 0.163441553712 0.000186689037946 0.398288756609 0.401270508766 0.401065021753 0.398083657026 0.192943707108 \n",
      "0.432548910379 0.397908747196 0.198660194874 0.163628146052 0.000202662064112 0.399808913469 0.400538355112 0.400042802095 0.400685846806 0.194333478808 \n",
      "0.429760038853 0.397551774979 0.198987707496 0.163926616311 0.000151847285451 0.39825963974 0.39866694808 0.398550599813 0.396209061146 0.193858489394 \n",
      "0.429433137178 0.396557509899 0.197825953364 0.162993788719 0.000154357534484 0.398229449987 0.399137705564 0.401361882687 0.397967547178 0.193972751498 \n",
      "0.428712487221 0.397786170244 0.198249444366 0.163861468434 0.000223450624617 0.399079740047 0.39817070961 0.399283140898 0.397522687912 0.194160535932 \n",
      "0.430603384972 0.397996395826 0.199734628201 0.163357585669 0.000233854312683 0.399253994226 0.39869582653 0.399517714977 0.399575561285 0.194010481238 \n",
      "0.430902212858 0.397580564022 0.19711317122 0.163577988744 0.000187624158571 0.399430274963 0.398521721363 0.400831311941 0.399108588696 0.194409459829 \n",
      "0.432188153267 0.396824210882 0.198384508491 0.163126826286 0.000372440641513 0.397463947535 0.398462831974 0.397727668285 0.399079740047 0.194828271866 \n",
      "0.428234398365 0.396441549063 0.197670131922 0.164292410016 0.000170888117282 0.399225056171 0.398462831974 0.399488955736 0.39866694808 0.193498641253 \n",
      "0.428623467684 0.397377610207 0.196359276772 0.163193061948 0.000177802678081 0.399049818516 0.3989597857 0.399370491505 0.399430274963 0.194771021605 \n",
      "0.42766726017 0.395829945803 0.199772298336 0.166375264525 0.000186667777598 0.401094049215 0.401565700769 0.399459183216 0.40100595355 0.193915754557 \n",
      "0.428801953793 0.396004527807 0.200122356415 0.166054621339 0.00020263933402 0.401035159826 0.40100595355 0.400598227978 0.401361882687 0.194733336568 \n",
      "0.431469529867 0.395859271288 0.200439438224 0.165935710073 0.000151830128743 0.399866610765 0.401916950941 0.401124894619 0.400072783232 0.193839818239 \n",
      "0.428354203701 0.397406756878 0.199307456613 0.165466398001 0.000154338253196 0.401212632656 0.400130659342 0.40100595355 0.40217974782 0.194236472249 \n",
      "0.428623467684 0.395511090755 0.200006693602 0.16618783772 0.000223424882279 0.400656819344 0.39819958806 0.400656819344 0.401124894619 0.194714903831 \n",
      "0.429462552071 0.3944029212 0.200887262821 0.165433779359 0.000233854312683 0.400130659342 0.403292447329 0.400714695454 0.401507437229 0.194446623325 \n",
      "0.428264170885 0.395917057991 0.198641434312 0.166461467743 0.000187601690413 0.402502208948 0.401713073254 0.401536464691 0.402881801128 0.195118770003 \n",
      "0.426120072603 0.395743340254 0.199269533157 0.165583580732 0.000372397218598 0.40015989542 0.40217974782 0.401653379202 0.402238190174 0.194673627615 \n",
      "0.429641604424 0.396324962378 0.198987707496 0.166511684656 0.000170888117282 0.398492574692 0.400042802095 0.400802731514 0.402385890484 0.194352343678 \n",
      "0.427370250225 0.394547313452 0.198075339198 0.165400758386 0.000177777925273 0.401094049215 0.402121335268 0.401565700769 0.401094049215 0.195176005363 \n",
      "0.427221298218 0.39337143302 0.200277984142 0.168215185404 0.000186513236258 0.403292447329 0.402033984661 0.402823626995 0.403615534306 0.194047570229 \n",
      "0.429252117872 0.393704622984 0.200478672981 0.167578816414 0.000202494178666 0.401477515697 0.40259000659 0.403438448906 0.40317556262 0.194160535932 \n",
      "0.424924761057 0.393138021231 0.200906723738 0.167663365602 0.000151685380843 0.402385890484 0.40182992816 0.402912706137 0.401299387217 0.193952932954 \n",
      "0.42796716094 0.392702668905 0.199326828122 0.166899308562 0.000154196517542 0.403087764978 0.403765112162 0.403615534306 0.402764886618 0.194409459829 \n",
      "0.426357805729 0.392205238342 0.200200170279 0.167490750551 0.000223214650759 0.401328295469 0.402531713247 0.403527647257 0.40311729908 0.194047570229 \n",
      "0.425342053175 0.392820060253 0.201120316982 0.166999667883 0.0002336618345 0.402677834034 0.400977045298 0.403409481049 0.403853029013 0.194789454341 \n",
      "0.42742934823 0.393051594496 0.199812054634 0.167578816414 0.000187441488379 0.404176056385 0.40311729908 0.401565700769 0.402121335268 0.195194929838 \n",
      "0.42704308033 0.392791360617 0.199618756771 0.166562661529 0.0003721290268 0.4029712677 0.402531713247 0.404966682196 0.40259000659 0.194047570229 \n",
      "0.425520539284 0.393674850464 0.199949353933 0.167696341872 0.000170722123585 0.403615534306 0.403087764978 0.404234468937 0.401975601912 0.194960594177 \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "0.398434013128 0.366741448641 0.190316200256 0.159284546971 0.000170284634805 0.423288732767 0.423973023891 0.425579607487 0.420670330524 0.191272079945 \n",
      "0.399925500154 0.370659023523 0.191404536366 0.156303629279 0.000177013949724 0.424894243479 0.424477279186 0.429849952459 0.429581791162 0.192218825221 \n",
      "0.405994415283 0.367652118206 0.189062133431 0.156158536673 0.000186579098227 0.422275394201 0.424717277288 0.425579607487 0.425791412592 0.191916644573 \n",
      "0.401507437229 0.368815094233 0.190954715014 0.156735211611 0.000202544571948 0.425072729588 0.423407465219 0.429192990065 0.422423690557 0.195176005363 \n",
      "0.404028266668 0.366542816162 0.192028582096 0.157216876745 0.000151756234118 0.429192990065 0.427818119526 0.423585683107 0.423080921173 0.194560319185 \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "0.401153534651 0.367424488068 0.186645403504 0.156175360084 0.000203346979106 0.42638745904 0.426238715649 0.428502231836 0.427847802639 0.190542593598 \n",
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      "0.402531713247 0.363829910755 0.186553508043 0.155057132244 0.000224385017646 0.432128310204 0.426833212376 0.422066360712 0.427907854319 0.189696028829 \n",
      "0.39875382185 0.364763319492 0.189098462462 0.154212504625 0.000234658640693 0.425969541073 0.429730176926 0.428293645382 0.430176913738 0.193687096238 \n",
      "0.397996395826 0.365776777267 0.18786855042 0.15473562479 0.00018827727763 0.434913665056 0.432128310204 0.425132572651 0.427697002888 0.193934589624 \n",
      "0.40182992816 0.366966068745 0.189191102982 0.156206309795 0.000373675778974 0.428772568703 0.42898452282 0.426446586847 0.428324252367 0.192028582096 \n",
      "0.398288756609 0.3643656075 0.188258260489 0.15543808043 0.000171544830664 0.433386474848 0.427311003208 0.42814591527 0.42406180501 0.191916644573 \n",
      "0.404263108969 0.362268060446 0.189490035176 0.153849229217 0.000178644026164 0.428324252367 0.432727873325 0.42432948947 0.430722922087 0.192433923483 \n",
      "0.400919467211 0.363887995481 0.186872303486 0.154817968607 0.000186353965546 0.423407465219 0.429909318686 0.426267921925 0.426744282246 0.192377179861 \n",
      "0.393342494965 0.363394290209 0.187092110515 0.15473562479 0.000202310751774 0.431201517582 0.425609260798 0.42692437768 0.432548910379 0.190335810184 \n",
      "0.395859271288 0.360693782568 0.188894987106 0.153784736991 0.000151521133375 0.435033708811 0.430298417807 0.430961370468 0.426209032536 0.192567750812 \n",
      "0.399283140898 0.358272492886 0.188184097409 0.152229651809 0.000154052249854 0.429014414549 0.431020796299 0.430328190327 0.424447357655 0.191785812378 \n",
      "0.403615534306 0.362773120403 0.187241733074 0.154718071222 0.000222998001846 0.436144381762 0.429192990065 0.43041780591 0.425162196159 0.18977072835 \n",
      "0.403146505356 0.359926939011 0.188987910748 0.153134897351 0.000233491082327 0.429968416691 0.428442776203 0.423973023891 0.425579607487 0.194180503488 \n",
      "0.399954468012 0.361281484365 0.188184097409 0.153769046068 0.000187307537999 0.425609260798 0.43152987957 0.426893085241 0.42898452282 0.193574309349 \n",
      "0.395859271288 0.357296466827 0.189527347684 0.155867025256 0.000371868838556 0.42802631855 0.431231379509 0.427847802639 0.426595419645 0.191633448005 \n",
      "0.399866610765 0.361845701933 0.188504502177 0.152703940868 0.000170581202838 0.432247340679 0.433506697416 0.43023905158 0.42802631855 0.191290184855 \n",
      "0.405083954334 0.364167630672 0.188894987106 0.15302619338 0.000177395806531 0.430507004261 0.430087804794 0.437988221645 0.426954090595 0.192028582096 \n",
      "0.394313752651 0.36043381691 0.185644820333 0.153990551829 0.000187307537999 0.427578419447 0.431112766266 0.433357030153 0.433238118887 0.191367298365 \n",
      "0.398141533136 0.366116136312 0.185404911637 0.152979388833 0.000203250499908 0.432968825102 0.434344947338 0.43227699399 0.430634170771 0.191233515739 \n",
      "0.396617114544 0.358528465033 0.186795890331 0.152292355895 0.000152385066031 0.428116202354 0.42913287878 0.431261628866 0.436383247375 0.191441133618 \n",
      "0.398462831974 0.359841555357 0.186480090022 0.151808395982 0.000154894602019 0.424776285887 0.434045255184 0.435421645641 0.428652703762 0.190427318215 \n",
      "0.404028266668 0.361818015575 0.185680523515 0.153244704008 0.000224244271521 0.436294227839 0.433386474848 0.434374451637 0.432998239994 0.188616603613 \n",
      "0.398462831974 0.357268214226 0.187498211861 0.152868360281 0.00023454692564 0.427280396223 0.426833212376 0.431918114424 0.429521501064 0.193283990026 \n",
      "0.397202700377 0.361479073763 0.187388196588 0.152673199773 0.00018818929675 0.434973359108 0.424656957388 0.433836638927 0.427729099989 0.192546948791 \n",
      "0.402473241091 0.362885057926 0.188969150186 0.154449954629 0.000373542192392 0.432188153267 0.430298417807 0.433985859156 0.430842369795 0.190954715014 \n",
      "0.396617114544 0.362379968166 0.1880556494 0.152914732695 0.000171464067535 0.435212254524 0.428564250469 0.42937156558 0.430328190327 0.192340418696 \n",
      "0.399663597345 0.358610868454 0.187571898103 0.152453362942 0.000178540547495 0.429551541805 0.428532600403 0.428954750299 0.433326929808 0.191310867667 \n",
      "0.3989597857 0.357268214226 0.184704646468 0.153324991465 0.000187669065781 0.436114758253 0.428472548723 0.427847802639 0.438858479261 0.191498368979 \n",
      "0.397638499737 0.36001393199 0.185496151447 0.151963487267 0.000203567018616 0.434583634138 0.439128190279 0.430603384972 0.435033708811 0.190149247646 \n",
      "0.397638499737 0.354523837566 0.186908230186 0.151495069265 0.000152716616867 0.430872291327 0.431171894073 0.434104710817 0.426028549671 0.192528218031 \n",
      "0.395451426506 0.357687145472 0.186222702265 0.151791170239 0.000155228743097 0.431171894073 0.427877306938 0.435812324286 0.43575283885 0.190934836864 \n",
      "0.400334000587 0.359786391258 0.186222702265 0.153213143349 0.000224676725338 0.433357030153 0.43665522337 0.429043769836 0.431589126587 0.190053671598 \n",
      "0.397667706013 0.357128053904 0.186517506838 0.150528103113 0.000234939769143 0.428383529186 0.436414331198 0.431112766266 0.439972162247 0.193247184157 \n",
      "0.392877548933 0.35746255517 0.187073886395 0.151071742177 0.000188538688235 0.436744987965 0.432217568159 0.427102923393 0.434104710817 0.193227127194 \n",
      "0.398608148098 0.357770442963 0.186853870749 0.153465747833 0.000374217517674 0.426506578922 0.426954090595 0.433386474848 0.436383247375 0.191610142589 \n",
      "0.399721026421 0.359674930573 0.188634499907 0.153690576553 0.000171801031684 0.435931622982 0.432698488235 0.431827872992 0.433088481426 0.193952932954 \n",
      "0.398025542498 0.358610868454 0.187333285809 0.152735933661 0.000178945658263 0.431949228048 0.435332030058 0.437013745308 0.429879397154 0.191498368979 \n",
      "0.399166256189 0.356177300215 0.184449747205 0.152946457267 0.000186486227904 0.434374451637 0.436353772879 0.43284997344 0.437464565039 0.191121950746 \n",
      "0.396617114544 0.357825815678 0.185817107558 0.15133947134 0.000202448558412 0.435302495956 0.431020796299 0.432038575411 0.427996754646 0.19046549499 \n",
      "0.389479637146 0.359618932009 0.187517598271 0.150419980288 0.000151627013111 0.436383247375 0.439429461956 0.428502231836 0.434493243694 0.193648964167 \n",
      "0.388169705868 0.358355879784 0.186203479767 0.150884076953 0.000154161680257 0.429462552071 0.433118402958 0.433177739382 0.436025172472 0.189961224794 \n",
      "0.386725485325 0.357044398785 0.186130896211 0.151948288083 0.000223163573537 0.437252998352 0.428772568703 0.434374451637 0.436864078045 0.187535881996 \n",
      "0.391712993383 0.350769460201 0.187388196588 0.150187134743 0.000233633822063 0.436204701662 0.431648999453 0.43665522337 0.435272485018 0.193190068007 \n",
      "0.393080472946 0.355731964111 0.186000347137 0.150419980288 0.000187417404959 0.435481995344 0.431201517582 0.433625489473 0.435033708811 0.192028582096 \n",
      "0.387850672007 0.360406190157 0.184468850493 0.152766689658 0.000372086942662 0.431618988514 0.43734267354 0.433177739382 0.436624765396 0.191066727042 \n",
      "0.387159138918 0.358555912971 0.186480090022 0.15302619338 0.000170700237504 0.434704333544 0.440453320742 0.432067990303 0.438317835331 0.191822499037 \n",
      "0.385309696198 0.352129817009 0.18522015214 0.152781575918 0.000177567228093 0.433896899223 0.437073290348 0.435391694307 0.436685234308 0.191252142191 \n",
      "0.385567754507 0.350105732679 0.185605108738 0.152292355895 0.000186993202078 0.437958210707 0.439399331808 0.442377030849 0.436714798212 0.190335810184 \n",
      "0.395045667887 0.355898350477 0.187535881996 0.150091722608 0.000202931754757 0.432818204165 0.430176913738 0.433806657791 0.442646980286 0.190821185708 \n",
      "0.387880116701 0.346283644438 0.185982078314 0.149163603783 0.000152085529407 0.442014366388 0.443759232759 0.446840643883 0.446267694235 0.192546948791 \n",
      "0.383003890514 0.35171481967 0.184103652835 0.149703502655 0.000154617373482 0.447443306446 0.44553732872 0.444003403187 0.453998863697 0.189228788018 \n",
      "0.392148256302 0.347856670618 0.186480090022 0.150589391589 0.000223776412895 0.445146560669 0.448742240667 0.449918210506 0.448592066765 0.189397215843 \n",
      "0.389623969793 0.35277223587 0.18668179214 0.150091722608 0.000234192193602 0.443306624889 0.44647821784 0.449707210064 0.445386648178 0.192962437868 \n",
      "0.392907232046 0.353132843971 0.186258539557 0.149179637432 0.000187894664123 0.439098119736 0.451578736305 0.443097323179 0.446050435305 0.192103818059 \n",
      "0.387965887785 0.351657837629 0.185477927327 0.151117667556 0.000373000337277 0.445476770401 0.445899754763 0.453393757343 0.449285894632 0.190390765667 \n",
      "0.391859471798 0.349967867136 0.1880556494 0.15243434906 0.000171176536242 0.443879842758 0.442194670439 0.448501259089 0.445266842842 0.19091668725 \n",
      "0.390439480543 0.350934624672 0.184429422021 0.150012850761 0.000178156289621 0.439789295197 0.440363883972 0.44586956501 0.445416927338 0.191047132015 \n"
     ]
    }
   ],
   "source": [
    "now_col=np.zeros([1532])\n",
    "res=0\n",
    "for col in range(0,10):\n",
    "    if(col==0):\n",
    "        np.copyto(now_col,col0)\n",
    "    elif(col==1):\n",
    "        np.copyto(now_col,col1)\n",
    "    elif(col==2):\n",
    "        np.copyto(now_col,col2)\n",
    "    elif(col==3):\n",
    "        np.copyto(now_col,col3)\n",
    "    elif(col==4):\n",
    "        np.copyto(now_col,col4)\n",
    "    elif(col==5):\n",
    "        np.copyto(now_col,col5)\n",
    "    elif(col==6):\n",
    "        np.copyto(now_col,col6)\n",
    "    elif(col==7):\n",
    "        np.copyto(now_col,col7)\n",
    "    elif(col==8):\n",
    "        np.copyto(now_col,col8)\n",
    "    else:\n",
    "        np.copyto(now_col,col9)\n",
    "    \n",
    "    for i in range(0,860,10):\n",
    "        for j in range(0,10):\n",
    "            now_col[1512+j]=data[i+j,col]#获取当前输入\n",
    "            now_col[1522+j]=data[i+j+10,col]#获取标准输出\n",
    "        start=time.time()\n",
    "        np.copyto(input_buffer,now_col)\n",
    "        cnn_ip.write(0x00,1)\n",
    "        isready=cnn_ip.read(0x00)\n",
    "        while(isready==1):\n",
    "            isready=cnn_ip.read(0x00)\n",
    "        np.copyto(now_col,output_buffer)\n",
    "        end=time.time()\n",
    "        cost_time=end-start\n",
    "        for j in range(0,10):\n",
    "            data_out[i+j,col]=now_col[1512+j]#获取当前输出\n",
    "            res+=0.5*(data[i+j+10,col]-data_out[i+j,col])*(data[i+j+10,col]-data_out[i+j,col])\n",
    "res/=230\n",
    "print(res)\n",
    "print()\n",
    "for i in range(0,860):\n",
    "    for j in range(0,10):\n",
    "        print(data_out[i,j],end=\" \")\n",
    "    print()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-12-22T20:03:43.139139Z",
     "start_time": "2021-12-22T20:03:30.685430Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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mrg/d6KGjKzgHz/T+j3HyxGYOOtD/wti2rp7ycvjzKcvabbcmfmwr+m1pRgePQ1PWK5fHHoPXPukSUmfsw2fy3T9nJ8G67KStsE4gUTiXVP8Qmp5ZhxdipFV3WrOpDp3jfs59N+yg75VTwh6mJDc4hckNK8/ntdedzPvWwRd/n4vavYeNz38EwFtv63mQU4ltRR/Ci8y778LChf71886D3mFyTL1803y47rrEG5dFxBNnV626c2qSQ+vutHfeCZs2tarkcMBf/kK3cfsGFec5/CkYSvLDj5Qec+lIxpXMZfiVEwAocOlR1anEtqIfSWjGj4eKiuiO88DGU7jg1grOP3IlG1brPCPtISZPv7J//B+kW3Ojp1V3WpcLunUzr+oNx1VVGf35D+q80retY37kZ+NjxvqWOzj1qPdUYmvRj0VkwrGDLjzKBTz+USVXTFjY9g6aEOLp5/2738V/8VoadVw/WmJ5P3brBk88Af/+t+H8F7n8DQA5jui7OH++9wCuD988oEkythV9iF30e7QxS9zzi0awdbZuhIoXb++daPD28AF4/28Lwlc0oXG3TvcbNa0HzrXBOef4fyU7a/0DI2L9cXXLLfDde5uonrU3ZN9bboGXX47teJrosa3ox/MLf948+PzzyHXOm7AxPoOymGh64phxzDHG/wJXbOGAxr06DBct7YmEOfbxD3JpKSiOef8Rx3Tn4HFFPPywv6yuDq6/Hn75y/jt0kTGtqIP8Xn6hx0Wuc7mJn+mzjWzluv4cTS06hYYLW+/bZze+l2xNfxp0Y+BGD39QP7xSjeGeTJp9CyJf9rET55e7VsO7GDxwQdQU2Oyg6Zd2Fb0E6HFZ54J089fGVTWooxT9vHd1fQdN4Dnf/9p+z/I5sR7LXx9xwfGlqOvYY8W/Wjxp70OLr/xRjjrrMj79ukD8+cb3nmX3L1x25D/+fu+5fo9/l91Rx8NU8L3EtXEia1Fvz0NuUVF8OyzMGlCsIB4n5H5XxkuyKda89vG603GebcdNbEwpvra04+d1lNZ3nQTPBVFpmQRyM8HdztSVb3EabDVSMnVuGJt0LZ33tG/pBONbUUf4hf9PXtgoyd0X9QjOA/MvNohbL/1IVyekb3uZj3QpC1a9wWPldxc6Onwt6UUu2rJJXzIp7FGdwmMlkRl0GzqUBL3vnspZsdO495o3BU8yKupST9fica2ot+e8E5RERR6nMvCHsENVC046XrdRaz7yRgyqkU/ehLRhRbgT1e7cEcYeatFP3pap2GIlyMuG9Gu/b3dbBtrTbrbisCqVe06vsaPbUUfEiMyrT19L9M/Gwdo0Y+G1tMltocVX2zkhum5tOAMW6ehJv5++uecAy+9FPfumUcbs5pFy/ETnVw17qu493fXGS/qpvrQONEF/Iu6dz6J+9iaYGwr+onqVNOhMPIpatKi3zZeYaEdFyXfyLOTU1IQVDy4aF1I1fbE9J96Ck4/Pe7dM472ht4C6VoYf3oFr4ffWBcq+o9yAS/MGRD3sTXB2Fr0E+HpBx5jny6haZjdzQ7W/e0VpslttGw0T9Oc7STC05dORsxYSoInVsnvFzqirvHLubQ0NLHpOz2mok3a0WWzNc6eYfI3REFTnUf0680z7Tmc2rlKFLYVfUhcDNnL/c93ZUDf4Hjx0rX59L5sMrczjTmva5ExJQHC8tJLwgkn+EdNf/YZTJ8O/341NMwz75Xl/CX/NnqM6MGGecY1qatVHH/gehbN06N1A0nkMBPnvvv4lh+9chHLP4/+efB5+uFE3wHLHv+U9W991z4jNfbNQ5vIm/nVV6GyEkaMcLJstZNfDvyGl5cfBMB3BDRgOWz9Do0blYDQwZgx8PrrwetjxhjLp/T8klc3jPZtm8q9vuUdq3fTsGU3lb8YDJRTc9wSZm0Y0m57bEMCPf1Jk+CPfzSW83uXklcU/fPQVOeGE0+kcdVxwKEh2x1OYdD5PwP0eMj2YmuVSpSnf/LJMCJA20vzzYcJquYoksBnIwkUFjMi9Tp01zZy5i/80zJv3xneiGwUk3CDs+KhogJGdvsJgN77dSavKCfyDgE01jXz/BtFLJ5v3vPK6dLhnURhW9FP5gPscJgfvG5Xo+/DX7/4beo27kqeERlEInvvmNGiwh+3ZlsdX+LPrbGtMfxk6y3NWaj6HhJ1ZVa6+wAwcIiL3MLoRf/Ny97lTJ7n71xqut0RvrOWJkZsLfrJ8izDJYt86W8bUc0tVD/6HRMfPJapP5+THAMyjWR7+i3hD3zddcHbmpRfPZbM2oAIzLxnMQDuhnYMK81QEv1CvusuoWtX6NkT8oqjn7f4xr1XRtzuiCFDqyYythX9ZJIzxHyCj3+sPYFZ93zD5nXGT9SV2zuZ1ss2kh02aSkwH0sB8OHuqqB1p/hDcLOfMdJkP/v37RzddwnvP7IqKfalM94Rue3qThvAeecZGRVEILdD4txzx7NPJ+xY2U5Uoi8ix4rIEhFZJiJXR6g3WUSUiFR51seLyFwR+cHz/8hEGd4WyfT0r/tHmLkVgc33PsN3N70KgMuZveECM5J1PZoHD/UtTz9zUcS6Dvyi740Tb96dxwdrhjDxj5XJMTATSMLFaeuQE8u+4AF+H9WxJm+437+yS4dN20Oboi8iTuABYAIwDDhDRIaZ1CsGLgMCh+VtBU5USu0HnANY+rpOlsh0aTWH+usPb/AtT9lwH9O4HYCcplr46afkGJFBJDum/8vT/bdx97FDI9QEh3fkqVI0zF8KQIPb6MQWaZSvXfF5+u0ckRuO5+5az78u/ta3no8/t87wIW4OeeHymI/5+NHPJMS2bCUaT38UsEwptUIp1Qi8AEwyqTcduAPwdYRWSs1TSq33rC4AOohIXjttjgore2KMOaGzaflrO45gUr951hmSriRiRG4Ezj/fCClMn26EF9rkoYf40DmeCz43Kte6o48925XWWTYTxRlXlDOwjzFSd1TZSpz4201yciC3KHY5+MfCnyfMvmwkGtHvBawJWF/rKfMhIgcBfZRSb0Y4zmTgG6VU/GO1YyCZ4R0wpnM7+WT48EPo1COfE0asNa03w/T9mF0k29MXga5d4brrjIm9zXjkrFn8uuJT6ltymfb7HRyl/Dnc65qj72ViNxKVZTMSxUceDMBpl5cT2E8oN0eRkx/7r6um5uz7RZZI2t2QKyIO4B7gigh19sX4FfDbMNsvFJFqEanesmVLe02yhMmTjUFb48YZovPoi+EbEzUGyXwJm1GEfw7Xlmbo1rWZraqU25kWVK+uWXv6ybw2Iw92MH8+TL06L6hvaG4u5JZ0iPl4jS3Boj93LjRnX8eruIlG9NcBfQLWe3vKvBQDw4FZIrIKYzjdjIDG3N7Af4CzlVLLzT5AKfWwUqpKKVVVVlYW+7cwPaa1IlPUPbaJPrIJnzdpseoXOvzx48ZG2L3dPPtmXYslEce0xKow6L77Gpc/R/zXIDcPcruZ93DLI3y6jCaP6O+Zt4xBspSqKrjtIt12Fi3RiP4cYJCIVIpILjAFmOHdqJTapZQqVUpVKKUqgNnARKVUtYh0At4ErlZKtTHleOKxUmM6dAwfIphW+nDYbdmE1Z5+gdMfSWzq3I2FW80TgtW15IcWLorcC8huWHVtOjj81+SU2w6mc1dzCcqPKPpGDO/hG9ayjEEAfPdmaLZVjTltir5Syg1cArwDLAJeUkotEJGbRWRiG7tfAgwEbhCRbz1/8afiiwGrh9QHPjRP/2ZW0Lbbt11orTFphtXX4usnDcEuDBD98+8axuRR5u0udYSK/rnD4s8Nn0lYEdMPxCv6Xz2xiN6DC3yTFQVy6XHLghp8W9OI4WC1BKQ9cYYZJa8JJaqYvlJqplJqsFJqgFLqVk/ZDUqpGSZ1xyqlqj3LtyilCpVSIwL+LMk/bHV4B+CCEdUA7NkLb78W7KmsuukJtr/ykbUGpRli0ahKb1/8XIcRSjj3jAY6doTL3zqG/hgRxhPL5/rqNxIa3nmSc7Mql1K88xfHSr7TGLjoJPxENzc+3MvftdaEFo9sNQccIlxqFE0oekRuAqmctD8AjjGH8YtJ+VwwcJZ/21/OZf9TB6XIstRitTfZ0sFwH6VDHjU18MjThqhLjou+GLFfZ7150rxAmuub+PFH+Oab5Nmaaqy+Nl7RVw3hp7TMKcyN6Ok7PF1/AxtvtacfPbYV/VR4+n+alss998D5vzN6g+zJKw3avo7eLHrxe2uNSiOsuh6qX4Xxef36UlAAzoDOHidfaEQX19Waj60IpHFvI0OGwMiRybAyPfDPkWvNxengEf36Gr9it+6wl5PvjOjpeweSBSbI01nNo8fWp8pq0c/NhcsvNwadAOQcEDJwmWFT9qdxV11IuZ2xOqbv/TyHK7Q/9+EnGL1FdjQVMrAkcqSxqTYLJlhP8sC51nSoNGbBqe890FdWGuwbkZMDTtoOrbUEVNGefvTYVvTTITf6vf/nINcZGru8ZvISXpyWfTMAWRXTHzECjjkG/vnP0G3l+3UFYIerG9+s6cZJfarDHqexxv6i75vgxiIP6S8PlNKtG1SND/9Ly+kEpyO86Hu7fTa7/Q+5M1DJGiwZ/5mx2Fr0rfb0W1NaCrce83FI+T0fjGDK7Qfw/vQvU2CV9VgdN87Lg3feCZ74xku3vvmcML6el2bkU1wM3Ypqwx7HO28rQMNOm/46S3La69Ycdhhs2gSd2khAO/O1JsZ0WhBSPqZwHs04obGRwHb26h+L+fLUu1n+zJeU5u9h1UtfJ9hy+2Bb0U8XWhrDN0iNv2E01NfD6tUWWpQ6Uv0SBiP2+/q7+Rx5jNHXuyA//Atp9pNLfMs7V+5Ium2pIB1+EZsx7PhKHnoidLRux05Oaprz+SBvAi3b/dk2v2MEh71yBY891MA2Snnmn2031GcrthX9dPD0wdB0gE4O83Swtx/0b6SiH83PPA/bt1tnmIWkq7AAFHQIb9zkB/yZwHf+tNsKc6zHYk8/Fly5ofJUUuhmG6UczQd8tb5PyHZvg25L9vS2jRnbij6kx43sFf3Orr2m26ctOgsA11ln8ND4V6wyKyVYFdOPhaKS6B6BnWv2tF0pA0l2Mrz24MoLbYgPbCPb2RQ6sssn+hGm0Mx2bCv66eJd1g82+u53GtCljZrwzPLRyTYnJVgd04+Fnn2iy7C5Y73NY/oW9d6JBTPRr6/127mzMTT84+3qGe89pzZtZu2Zf7Z1Y7BtRR/Sw3kZMMboonbVjR04+WR48R/hY8PdiurYuUOxaoU9f5umw/VoTefBRoK/w8pXRqy3c5M9RSBdPP2SEuP/BRf4y1z5oXmyGxv9yysJnba0ud7ocRWvp//ISW/Q5/k7mfPXD+LaPxOwreini6d/0UXw6adw+ulGKubTftuZUweZd9f8aUsHhnTfQeUAe12WdLkWZvT8mdFffN9j+7J2LUzZf6FpvTMeG8+sYdFN7ZdJ+AdnpdaOG24w/l9zjb8s0NPv2dP4v7chzIQJHvZ6oqjxxvQ/2TQYgEXrOsZ3gAzAXuoSQLo05DoccPjhwWVVZ4cO2gL4pnE4m5vaDgNlHN4QQhrG9EeNghdfhHv+z0mvXjB6UPj5HMYtepCNK2pZ/H0j879pDFtPEztTpxpdOfsHOO9eT19oYf58Ix3G3sbIcx/srjEkTaWzp5FiIr82M5x0EH0zrpyWQ9OePVx/Z3HYOvW7GsgvsUee93R//k47zb/coUPkm6Z8QD4Kr7Ak0ypr8M+Rm2JDgG6t8u96Z9Vy0EKXLg66dIEjD6tn9rvhj7Fll/FSaGkJ+EIrVsCOHfbOpxEDtvb00xWHAy6dGvl9u2vxhojbM4o07hYYgklcoJtzq29Z2fSRScdr4w3vOAJSMtz8ZhXvP7U+3C7M2GHMnxt4Gf84YAY/r4qu334anoaEY8872EM63sheCrqYTNwRQI9DK/jsr59ZZE1ysXqof3toNInadM4x72773rSPWDPLdDK4jCGde1Y5CzzZUQNyKDldwqChfofp5IHmCQwDG3L/jz/yKVFOpu7ZLX3PSvuxreins6cP4Mrx35TvvgsHFC4NqfPI4zaZADqDPP2mptAbp3OeP1XDsaVzfMvH3D6OCePD54XPJKzKpx8LOXnVtEugAAAgAElEQVSGUb/7ffBzkFfsj+sfWLHTdF9vTP/tV8On2YhImutHe0jDS50Y0qUhNxrGj4f/vhc60CTXZY/Znv3dAlNqRlTse9pwAG6buoUjS4yJVjrl+SfEaWoOfmQWuIdYZ1wSSGfnyOWCujq4997g8kDRd4WJkt4zdyxuN0yYXBDjp2bATdpObCv6kP6i//jjUO1J8thvdLmv/P67jT7h27d7vsBXX6Fe+69/x8bG9H5aw5DmlwOA8WeWsXQpXHN3Gc2eEEFRvt+bb6wPjvkLLb6+4QCb1jdz1pFr2b0rs66PVfn0YyU/PzRXfl5HfweHwF/MrZk+Nva+9uk4SC3R2Fb0M0ETzz3XvEPBb/+Qy7Hdv+GDzcP54pDL6XroQCae7JkibuMWLs37B8uvf8JSW9tDugwAipaBnlTvLXnGiM/CYv9jsrsueASvwsGOZdt869eetIBnPurNy9d/m3xDE0A6x/TDkVfgD/eE8/QBbv78qLg/IxP0I15sK/qQMRoTgitH+Km+GztbShjz9b1spytvcCI3D3uBL55cyt+5lCn3jkq1mdGTQTH9QJr7GwN1Cnv58wB/R2i+5q1Ld7Bz3kp2freatauNXwVSG2csOUVk0rVxOCDHM/9xJNGPhZosSsppW9HP9Df1mSeG9hi5cdEUrrrR6PXTrDLn0mWap++lqMTwKEtyIwv4V5820vmgSjqP6IfbEwnauD4zUmlkoqcPcO5gYy4Kl7P99i/7oY6iInj01o2ZEYNsJ5mjHDGSSQ25Zlx6Z2/T8rkN+wIB3SAziEyLlz75JNx2GwwdZv6Y7NvPyLx57r0H+Mr2NBov5Q0ZMszCex+lY++dSHif7ZjuKRNPcM4727n4pHUA/PfvqzPwqYqdDLvUsZHJot+hS2gGQYBGjEYslUGpYzPV0+/Rw8gFc/xVwzlrci39c9b4th1V9h3/uGlTyD6b641R1tt3ZUh3W1+WzczCeyvF8ov+3sLreP/44K5Ao47twrsrjEacwHOwaZE957aAKEVfRI4VkSUiskxEro5Qb7KIKBGp8qx3FZGPRGSviNyfKKOjIdPDO2ZpZQPJKE8/Q2P6Xrp0gadeLqBQ/IHffPdeSrqEXqN17u4A7KjJYcbhdzDr9IcsszMeMvWF7PfwIz/ohxX/4FueWncr42deDkDjzlremvpe8DEDTsHVX0xMiJ3pSJuiLyJO4AFgAjAMOENEQjKGiUgxcBnwVUBxPXA98KeEWBsjGXYfh+WM8VtDyjLpnZZJI3Ij0dDi77nTVNaL/KLQVsQmjD7kMzcfzKTPr2LcSxeF1Jn/+S5+c9QqmtNhGEamvpA9Bqs2mk5ynOYn+a8nfs5x945vdchMeqriJxpPfxSwTCm1QinVCLwATDKpNx24A0PoAVBK1SilPgsss4pM9PTnzYP33w8tf+KNUuuNSSSZKiytaGgxBP3kcTv517v9ggYJRWLOqXew5+NvjJUvvuCUsdt47MMKln+yLlmmRk0mPifgF+i2fvHmOMzfCtv3hl47h6isEP5oRL8XsCZgfa2nzIeIHAT0UUq9GY8RInKhiFSLSPWWLeFT28ZCJjbkjhgBR5l0Lc6NRluam0kP1zGUTBWW1jQow9O/5bp6+vYT8orMZ93q4wgW81GvXMVpRxt9+QePKWWp28gf7GhuCtk3VaRj2utIeK1t697KcZqI/tat9O4VumNmnYH4aXdDrog4gHuAK+I9hlLqYaVUlVKqqqysrL0mBdiWsEOlHT/UD0bt8Xfr/H3BE1xV9mgKLYqETTx9Zbx9i7sbQ/sDR4YGUlkc6rjMbj4YgKUM9pU5XKnvR5GpXTbNVP/OO0OrOR0tCMHC/2TZFTR//mXoITP8/oyWaO66dUDgtPO9PWVeioHhwCwRWQUcCszwNuamCrt4l5F4a+p7sMb4EfZQ42+4c8eFKbbIHF/cNcOfqgaHIfZF3SKLft8uoSN96lUe2yV4gpx0EH0vmXZpfJofUHbllaH1WlqE244MTsdwLk9y9c5rQuoa8+tm2ImIg2juujnAIBGpFJFcYAoww7tRKbVLKVWqlKpQSlUAs4GJSqnqpFgcA5l2I7fm7rvhb38Lv/34R06mvG+rHiRp/LbLtL7grSmvMDz9whKjATev0Hw4aO8exgitfPyTqdfTga4EdwM88ZTUz2GUsZ5+F88LtGvXiNWaW4S6+uiEQHRM30Ap5QYuAd4BFgEvKaUWiMjNItJmvyaP938PcK6IrDXr+ZMM0lj7ombqVPjDH4zlsQebjxPfQDkbXv7ctz536jNWmBYTdrgWAB985OC55/xtLK0TgXkp6Wh84R4528wreJi/pUcizWsXmeYgyXDPIMV994tYb9/y7dQ1RCv6westTenZRtZeonI1lFIzgZmtym4IU3dsq/WKOG1rF5nYkBuJtz8tZPfu0CnlAMp/Oca3fMYDh/PjvaF10oF0zeQYLX37Gn9mzJsHBx5oLOflG9+zwNFgkWXxk6kvZG/DcyT7xwzcyO2fHM6fxs4JXymAF34aQ9+8jb51d72b3JwMGWQXAxn+gzsyGa4xQeTlQVRt3Gn4EGdsCCEGRoyAx65fyd0XLfOJvkPSP/+OVzQzrffO5MnG/3HjzLc/+ih8ML8HuZ0KqLow+rlxf2rw//py19tjgpzW2Fb0M9WDaYuR+5vM5xdAQ0sOTdXf0bI1/YaRZ5qwxMp5N1cy9cGB5HUwHitHOr6BW+MbQ5EBtgZwxBGG6fvvb4T3W6coP/98w1ECOOuiorg+Q4t+BmInT9/L+x/n8sYbsGgR3PWH1SHbc2gi9+ADOG/AJymwzhy7voABvvgCVq4MLssvMB6rTBBS/7XJ3Idl2zb/ZERmiEAnMZ9WMRJN9faM6dtW9O0qNJ06wfHHwz77wFmXh47UXd5SCcBTu09ixd/fZONLn6AUrPox8i8EK7DjS3j0aKioCC7zTvLhzKBwsB2vTSDx5KpyN/hFf/ZvH+flg+9IpEkpw9aib/cbuawidF7dQAZcejw9T/85t0+upnJILj/MXBOxfrKw6ws4HLkuI5bfKd/y7CMxk6kJ12KlJUxW2tcvM8l74sFd1wS/+AXLDzyV0Q+fxy+rr0qWeZZiW9EH29/HiMC6dbB3L7z+OrzzvHkc/9r/GOPkVnyemiTvmdpYGC/1u4xeO50LGvj8c/jzqStSbFEEfKmV7f1mrsHcQRpzWfgxpO6GZua+u5WB376cLLNSgm1FP1u8y/JyKCyEE06AY6Z04dcVn4Wt25KqziQ2SbgWLTsxplfs1LMDhx0G5/3efG6EQJr31rFrzo/JNi2ErPH0MY+1OXPCS+Cz0xZQxdxkmZQybCv6YPv72BRnhOnjdmxKTVzf31aYHRfk2KsOIMfVwh8eMgYQlQ4oCVu3xW28ia+s+pBOowbzl2M+Z9kn6y2xE7DdCznW7+HMDd/wcu2nx4YW2sCbTP048CRhg2sTF47CgrDbtm5KUW8Eb3jH5iEEL337CY1NfvXp3Cv8Nfn6ke9ZWr2LZ348BICb3hvDX9+ro86iU5VRk/FEwZo1sHlz5Dr7FS7nh5oBQGTRN6OpppGcIvOcSz5qaqBDh/BDtlNMelqVALKhIdeM6f8ZHnbbtm2pEd1sCSGEw+mER/6lWLgQTimfHbRt9EUjOPvRI3CJv094PcHhINXcQsPSn5Jim3fgnF0uTa9e/pHRgZx9tn+5vnNP33JbM9S1pm5bbcTtqsnNxUVP8PWUe2I6rpXYVvTBPjdyLPTqn8en7xsNiWefvCdo27YdqepDaC9hiYffXCAMHQqb9pp7/dtbOgWtBw4M+sdJb5M/uC/rvkyO8AO2vzhPPgm7dsGECXD7pf5UC7F6+rU7IqfWqN1ez4NczLh/h86Yli7YVvSzNbwDcPhReWzZAk++WuwrG563lK27XDTv2G25Pb5J3G0uLNFQ12QeUW0gP2h9bbVfmJ78yEj4s2ZB4q+d3Tz9SHTsCDNnwuCB/h4N4oxNAs1Ev2nLTnbPXQqAu96YGMdJ+g7ssq3oQ3bcyOEobTVuq2t+Df/dNBpXl47UrN9Fpazig1tCJ5JICjZrLGwPte7oplhcOWs1td8spnHVeuqbjRm6wqVyTgTZdG3CzXgWDXU7Q0X/pP7fU1I1CICmGkP0HbTw6v+8RUtD+syO5sW2op/Nnr4ZXYv8A4XKeuWwigquuj18r5JEku0x/UBqm9toBPSw8ustFI7ch9GVG2hoMcQ+GacvG58Tr+i3nlELYN+BkQfU/fdvq1n46uKgspl7fw5A44ef+eZC3kUnJj8ygX/9+uNEmJxQbC36WmNg9rPL+fqFFRxygN9DqcMz85OrmSvlf5l1ljXTLOrrAbUEx/Tfv+1r03orVhux5m8YSb1nQvZk5oLJpmvjndC+Q8AkN16+XZRPQwMMz19quu+1s8az7+R9TLf1O2oA/X8f3M1z/ab0y8VhW9GH7LqRw3HImQM4+PT+HP7ripBtuQ43d3El4575TVJtUNnoToahqdDfYNvPuZajrhnFlEnBPUIqctezcot/BKlX9BtrE5/1MRvSXrfGkWv8cipyhXr1LpcxSU6ORH7BTpC3mHPZM8aQeA8b6RlSLx27xNpW9LXOBNNtQHFIWVOztV5ItqRhiMSHs5yccszeoLLn/hPs/ffvuJXlO/zTANYrIyTU1JC8IdXZdG3KBnXi8uN/5P33g7/z7IDetG1lSH2bCYz626/Zp/eeiPXSEduKPmhPP5CygaHx+8/37G/JZ6v0n0vEMg46CP73GiNHkldYWt+nwyv38lX9Ab51r+h/OfWlhNuTjc6RCNzzxmD2OyJ4ovpDDglYifK8LME81OPlwU+HU/vD8hgtTC62Ff1svJkj0bGz36tXCno5LBzq7yGbvMmItJHk7MRTg7tvegdrTeN2Nt32KHvf+jThJmkHKZhEycc2SrnudPP2gVRha9HXN7IfEbj6anjrLWN9hwoeDLT7VxfBxo0me7Yf/QIOJlIc/borG+hWGT5ldo9rf8Po4zqZbpvz4grO3W8uLc3Rn/BsjOlbzbaG+GbuSha2FX3Qot+a22+HYz2dC6b9Knh0Z8lzD/Hf815L6ufr62HgSzVtsm36nXl07hva/hLIfPYzLT/hzGKenD+SrYu3Rm+Lxwr9KyyYRDbAptsMarYVfe1dRubap/fh1f8NjjW+sXxoUj5LX4tgfKIfIAav3LqYWY8Zefe7VMY3fsI78jmmFNp64FzSSbdTG5Xoi8ixIrJERJaJyNUR6k0WESUiVQFl13j2WyIiv0iE0dGib+TInPynAdx0xEe+9U9W9aG5SfcQSTYlw/sAMO4EfxjnlGn7cMR5/QEoKA2flTMaGvZEn0Jbv5Bh/IAVXHvKwuBCz3m5adI8ClyR8+20SZrd9m2Kvog4gQeACcAw4AwRGWZSrxi4DPgqoGwYMAXYFzgWeNBzvKSjb+boOGR8RwBO7juXH5v6c2zPbzmlxxes/mwNH/zhNW7o/Vi7P0PHjYPp1tPJ4sXwwAuhcxxD/C9Hb8PwzWcvi34n7enz7rL+3PJKsKR5wzsDejdw5ejPfeVXjIqzEb2pCRra+fJIENF4+qOAZUqpFUqpRuAFYJJJvenAHUDgiIdJwAtKqQal1Epgmed4SUc35EbHsdeOZO28LTw5ewh51PP+toP4z6bDqPhZH46+/ySmrzvfqNjYCG++2a7P0p6+nyFDjEFAyeCx5UdEXdcXu9YPSyuMl2FOnlDv0erbjv2YiWfFHnoTgYd73sht+X9JpIFxE43o9wICZ9Re6ynzISIHAX2UUq1Voc19k4m+j6Oj14gyinsWcfKIlabbmxub+e+ZLyInHM/K52eb1omE/tWVeG4tf4Dvf/sA7s3b2bupxiiM537Xnr4p3nvW1SGX+gbj5OTlO2hSRqCiwBGawiESv912G9dyG2xIzTzVgbS7IVdEHMA9wBXtOMaFIlItItVbtmxpr0mAFpp4mHyCeSy4qaaRp2cPBKD66/hj/lpYEsd1Gy7mgIcvZmj3bRT3KGTOkwvj6lyunxNzmtyGNHYoK6K+wVjO7yCMPn8Yp1at5LV/tjE9VwCPL/2Zb3lE+SY2v2Geb8kqohH9dUCfgPXenjIvxcBwYJaIrAIOBWZ4GnPb2hcApdTDSqkqpVRVWVlZbN8gAlpkYqPvUPP+4Y17G/G6kfGIhBaW9pFPHcP77DTdtgwjpe9nr26Or2ug9vRN2dVs9K3v2reQhkbj5OQXOCgoFP49p5KDxsXXw+o7RvDiM6mZq9pLNKI/BxgkIpUikovRMDvDu1EptUspVaqUqlBKVQCzgYlKqWpPvSkikicilcAgwJLXnBaa2On3s76m5SV9S3hl3aGAMZF3i7slrsZZHdOPngmD/d1pu7p28febtkes39ig/JPVxICO6ZuzC6ODQ9fKjtQ1GiGd/AK/XHYd0InXb54X17EvffHw9hvYDtoUfaWUG7gEeAdYBLyklFogIjeLyMQ29l0AvAQsBN4GLlZKWTKljG7IjZ3ufXJZuhR+PSD85Cp7d7px5jg4puybqI+rs2zGzms/DOCdh4x++z06N9Kpe+Q8/I0Niib8k6xE220zm2bOioUa/J5+fZMh+h0Kg+Xy+GtHxP8BKXwmopqKRyk1E5jZquyGMHXHtlq/Fbg1Tvvahb6RY2fgQOjZ2wFhckT99lkjPvn+9pHRH9Q7GEl7+lGTmwuVRxn99qdc0YtOPczDO15umHVk0PrezbW+vPGa+CnpJIz7n4H89xbY57TgBIXtuZ+ba+pxFnVor3lxoUfkakK4cUZV2G0txD7MQs+cFR+DBsHatXDFn52U9IhNIPbfp8HTFhMZ/+jgeCy0L9XVcPfd4HDApTeXsm4dDD0wv+0do6R2w66EHStWbCv6oG/keCnsmJzxc/p6xE6vXsZ569jdL/orVyg2bYJC9obUf+rX7wKw3t2d/1xbHfXn6F9hwYwcCVOnGssiUF5uXu/UHp/Fdfy9G1KXh9+2oq89/fax+MP1/Ga/yG3ui56aE9WxtKfffpwu/7mrqBS6dTOvd/Idh/qWmxvbbj7To6Xbx7/Xj2H32t0x71ezKfSFbRW2Fn2tMfEzZFw5k081TmABNaZ1hp1zMDuWR+5VArSZP14THeUdg73D1pkgL+j3HkXlHX3rsaRY1s9KnIjgzM+JebearbEN7kokthV90Ddye3HlGrdHJ4chNnmEzim6a735CyEQ3S0wMSxaU8zq1f71XIJj9r+9a1DQejSir38Rtx9XflT9YYKoafuxSRq2FX19M7cfb8bNEpdxh+bQFFJn9/l/hP3M87v70AOAEkLHjtA3YChFtxyjR8+fjvqGsw9eyMjJFUH1VXP0o6d1TD9+XHnmbWA9nOFH7WrRTxJaZNqHdyLu4hzjp2iOuEPqjFz2AoXzI+fj8b1/9QVJKP16GpnATvxVCU9+PSzk9DY1RuHp65h+u3G4zGW0eq6DH2au4eVpoWNaork2ycK2oq89/fbT6BH90oJaAKZNXBBSx00OtYSf3g/w99PXmp9Qnvh0IH88dQ2HnTXAdHvd3ujHQeprk3jK9+vK8Al9GHJI6PSW7iYt+glHN+S2n2FjugBw+nF7UQr+9Jp/+PjC18OM3jJB995JDuV9Xdz77z64woSUa6MQfe0cJZaHrvenFvOGzPJLQkdTu5M4WVFb2Fb0QWtMexl60hB2/7iRsx8f5ys7vHQRAKV9Y5/dSV8Pa6lZv5u5lz+NqqkNW8eXhkHH9BPC724OzRzfc2RoJ3+3p3nM7TbmV7ES24q+9mASQ/GgHkFq/c6KwaxdVk/Z/j05qTS6WYS0p58api85jar7zuLhX77XZl19aZJHYZGw6I3gX8be8M4BZeuSNplOOGwr+qBv5GRQUOyk1wBjOPqpZ/m9/cgNgrqffipZsKFL2G3aObKG3ILgGJxX9BfutGxOKR+2FX19MyefPiP9w0LdNeHn//Sl/NVvYUuYc9t7nNDNP5o6L6/th0GHd5JLbmHwAC63WzfkJhzdkJt8+ozq6Vuu3xVh0mfdT99Sqq4Zz7l/9PcYyc0Nf+K1c5R4Prh1Ns+c90FQWainb6VFwcQ+lCyD0CKTXMr7+m+ful2NFPc2r6dH5FpPWbnfs8zLabuniNjW/bOeI6cdGlKWWxQcuNddNpOA9mCST14ePPCrLwCo3x0hja/29C2nqKu/m6BqDO9W6sFZ1hAS3tlbDx99lBJbbCv6oEXGCkqKDS+yfk8EYdG9dyynqMyf+722ru3zLvratIv7b93FGy+Ez5zZ2tN/+p0ySo/0py+Z9+KPbJy/NWn2BWJb0deevjXkFxp5R/buaDtIqRsLraOozN+zyiv6X72wkl0bgvvs6+ckMVw8rYTjTy8Ku92ZZ4RCT+lh/DKu5mC2UerbftCUwQzd35pou61FXzsvyWf4EV0B+Pq/G8LW0cJiPcWl/vBObU0LDXsaOfSMSk7ef5lpff1CTi7iEHYs3MDT8w8MW2enCk3XkAxsK/qgRd8KBh8/iE6yk/nfR9NYqC+IVRQU+s/1ptX1/NRxXwC+2dovqJ6O6VtHp6E9ye/cxrSX9aHpyxONbUVfe5fWIA6he84OtuwMP5GE0hfDcpwB2X7f5AQGsxSAPEdwg7u3Z5V2kKzB4QAhvIP0xhnPJt+GpH9CCtE3sjWUFexl8/omYxbvCOjrkXrypVUvK92zynJchKYo9/Lc3MFJ/3zbir52Lq2jW1Eds9RYZh/8B9PtKnUJBbOahgZ4+c4VQWV5zuAGd92zynoiif7euuQ35kYl+iJyrIgsEZFlInK1yfbficgPIvKtiHwmIsM85bki8rhn23ciMjbB9odFN+RaR9dS40SP3vifiPV0TN9acnOhcv/ioLI8h7ng6GfFOsxmoPOypyH52dfaFH0RcQIPABOAYcAZXlEP4Dml1H5KqRHAncA9nvL/AVBK7QeMB+4WsW7sn76RreG4qyJPl6h/daWOvvsH9wjJcwaLvnrvfWNBPyyW4ZLw8xzsbsoPuy1RRCPAo4BlSqkVSqlG4AVgUmAFpdTugNVC/DPkDQM+9NTZDOwEqtprdDRoobGOk6bkMzh/NVXMgaVLw9bTnr71dO0R3MCe7/J7mfUrN3Dq3GsAnQHVSiKJfuf+4TOiJopoRL8XsCZgfa2nLAgRuVhElmN4+pd6ir8DJoqIS0QqgZFAn/aZHD3aebGO/vULqeZgVt/ydMg2/QJOHa2fgTyXv4Fl8yYVvqImaUSK6T/8YPhtiSJhoRal1ANKqQHAVcB1nuLHMF4S1cB9wBdAyGtORC4UkWoRqd6yZUuC7EnIYTRRsooKAGZsPzxsHe3pp4aX97nOtxwY3mlp9C9rzbeOSJ5+XlH4rs+JIhrRX0ewd97bUxaOF4CTAJRSbqXU5UqpEUqpSUAn4MfWOyilHlZKVSmlqsrKyqK3PgK6IddaXvmHkTek6Y23odHTLbC2FjZt0i/gFDN50S3+lZ07YatxrRr2BHTf1A+LZXRwhffm8zumQUMuMAcYJCKVIpILTAFmBFYQkUEBq8eDMRJERApEpNCzPB5wK6UWJsTyKND3sXUMvfBnAFzBPagJx8GUKVzW/3XyevgbErWnn3reajyKJVW/QinYttnvcepnxTpKO4UX/bzi5It+m51ClVJuEbkEeAdwAo8ppRaIyM1AtVJqBnCJiBwNNAE7gHM8u3cD3hGRFoxfB2cl40uY223VJ2kgWDR6ffgU1zOdv3E6oK9FurHf6tf5xeDFvLFsn1SbkpV07uiGTebb8jrmmW9IIFGNBFBKzQRmtiq7IWD5sjD7rQKGtMO+mPnoI7jvPmOWee29WMuhfMlsRrOBcn7PQ77yJ/9j9BXXnn560ERuiODrZ8U6SgrDx/Rd+ckfnGW7mbOOPDLVFmQvn+3aH1dJaPk8DrLeGE0QAwcqli0Lr+z6hWwdJcXhRd+K62DbNAygvRercXYsxBHaOcuHFpbUsXixcGC+Zc1pmgh0KjGPd/7tyNcs+Xwt+pqE8v0tr6faBI0JTidIhMYV/UK2jpIeBSFl3dnEHz44yZLPt7Xoa6yn45Tjwm7TL+HU0jEvfK72HJdubbeKkpEDQ8qaLZRiW4u+Fhnr6TMgl/vug9+euD50o74gKaVTYfhEXxW92p7uUpMYevQMfQ6acZrUTA62Fn1NarjsMrjl9tCbWGt+apn0u3LT8iEsDpp0RZNcTjwR7rkHTtnH38aiRT8OtmyBp54KLtMikzq6Du0GwNHFX/kL9QVJKefe0Jd16+Dvkz/ylV3Av1jMUH1tLMThgMsvh16l/nCbFv04WLUKzjknuEzfx6lDHMLmr1by+rKh/jJ9PVJOeTmMOsJoSDyrZAb3F09LsUXZS1FHv9BbKfq26affoY35hjXWUzaqMrhAq35aMOoPh7C2fDblk45HhnWGPVtTbVJWsqfEn6y4RTfkxo6Z6GuNSS+UK/kZBDXR0WvyoYjL6X9wmnRDrtVMPLerb1mHd+IgP/kTzmjiZO7XzVx0Ti3FpcnPK6KJEe+DU1eXWjuykPHHCD99vRGAZguDLrYO72hPPz046GAnDz4ROiBFkwZ4H5z68H34Nckjt8B6CbaNp69FX6OJA+3pp5TcQutDnrYR/TwdOdBoYufPfzb+V1kydbWmFbkdrB8gYZvwjsPk9aU9fY2mDY48Uk94kEK0p6/RaDRZhKuDFn2NRqPJGsRpSPDhfGrZZ9omvBNIeTmsXw9FRam2RKPRaCKzjAF0H38A8DNLPs+Wnv6hhxr/u3aNXE+j0WhSzYCNX1A04znLPs9Wnv5nn8FLL8FGY7wD3bql1h6NRqNpk+7dLf04W4n+mDHG34YNMGAAHH10qi3SaDSa9MJWou+lZ0+47bZUW6HRaDTpR1QxfRE5VkSWiMgyEbnaZPvvROQHEflWRD4TkWGe8hwRedKzbZGIXJPoL0r50uYAAAU9SURBVKDRaDSa6GlT9EXECTwATACGAWd4RT2A55RS+ymlRgB3Avd4yn8J5Cml9gNGAr8VkYoE2a7RaDSaGInG0x8FLFNKrVBKNQIvAJMCKyildgesFgLeIX4KKBQRF9ABaAQC62o0Go3GQqKJ6fcC1gSsrwUOaV1JRC4GpgK5wJGe4pcxXhAbgALgcqXU9vYYrNFoNJr4SVg/faXUA0qpAcBVwHWe4lFAM1AOVAJXiEj/1vuKyIUiUi0i1Vu2bEmUSRqNRqNpRTSivw7oE7De21MWjheAkzzLZwJvK6WalFKbgc+BkHR+SqmHlVJVSqmqsrKy6CzXaDQaTcxEI/pzgEEiUikiucAUYEZgBREZFLB6PLDUs/wTnlCPiBQChwKL22u0RqPRaOKjzZi+UsotIpcA7wBO4DGl1AIRuRmoVkrNAC4RkaOBJmAHcI5n9weAx0VkASDA40qp75PxRTQajUbTNqLSLJe2iGwBVrfjEKXA1gSZYyf0eQmPPjfh0ecmPOl2bvoppdqMj6ed6LcXEalWSulpgFqhz0t49LkJjz434cnUc2PLLJsajUajMUeLvkaj0WQRdhT9h1NtQJqiz0t49LkJjz434cnIc2O7mL5Go9FowmNHT1+j0Wg0YbCN6LeV/tnuiEgfEflIRBaKyAIRucxT3kVE3hORpZ7/nT3lIiJ/85yv70XkoNR+g+QiIk4RmScib3jWK0XkK8/3f9Ez8BARyfOsL/Nsr0il3clGRDqJyMsistiT/ny0vmcMRORyz7M0X0SeF5F8O9w3thD9KNM/2x03cIVSahjGyOeLPefgauADpdQg4APPOhjnapDn70LgIetNtpTLgEUB63cA9yqlBmIMKPyNp/w3wA5P+b2eenbm/zBSpewDHIBxjrL+nhGRXsClQJVSajjGwNQp2OG+UUpl/B8wGngnYP0a4JpU25Xic/JfYDywBOjpKesJLPEs/xM4I6C+r57d/jDyRX2AkRLkDYzR4VsBV+v7B2Pk+WjPsstTT1L9HZJ0XkqAla2/n75nFPizC3fx3AdvAL+ww31jC08f8/TPvVJkS8rx/LQ8EPgK6K6U2uDZtBHwzsKcTefsPuDPQItnvSuwUynl9qwHfnffefFs3+Wpb0cqgS0YqVLmicgjnhxZWX/PKKXWAXdh5A/bgHEfzMUG941dRF/jQUSKgFeAP6rgyW1QhhuSVd21ROQEYLNSam6qbUlDXMBBwENKqQOBGvyhHCA77xkATzvGJIwXYznG5FDHptSoBGEX0Y81/bMtEZEcDMF/Vin1qqd4k4j09GzvCWz2lGfLORsDTBSRVRhpv4/EiGN38szoBsHf3XdePNtLgG1WGmwha4G1SqmvPOsvY7wEsv2eATgaWKmU2qKUagJexbiXMv6+sYvot5n+2e6IiACPAouUUvcEbJqBP+vpORixfm/52Z4eGYcCuwJ+0tsGpdQ1SqneSqkKjPviQ6XUr4CPgFM91VqfF+/5OtVT35aerlJqI7BGRIZ4io4CFpLl94yHn4BDRaTA82x5z03m3zepblRIYMPLccCPwHLg2lTbk4LvfzjGz/DvgW89f8dhxBU/wJjj4H2gi6e+YPR4Wg78gNFLIeXfI8nnaCzwhme5P/A1sAz4N5DnKc/3rC/zbO+faruTfE5GANWe++Y1oLO+Z3zn5i8Y83/MB54G8uxw3+gRuRqNRpNF2CW8o9FoNJoo0KKv0Wg0WYQWfY1Go8kitOhrNBpNFqFFX6PRaLIILfoajUaTRWjR12g0mixCi75Go9FkEf8PQHsyMBGoxEcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xae707890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xae158cb0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xae077970>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xae4b4fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xae6b8e30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xae08f9f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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+uIgs9f0tE5GzE2V4PBhPv+Nc/v16Hn7YWv7R7/aJWufcKdsAqK2PL1+I+K4yI/pdI9A2Eif9B7vjrmvulY7R3BjpwT//yJ6IsvrazPP0243pi4gTmAOcCGwBPhWR+aq6slW9IuBKYGFI8XJgsm/2rUHAMhH5r6q26uiUeEyXzc4x96m2QweX8igHj98PPoHa+vi8RJN7p/M0NMCRUzxMP3oPyxvHtr8D8NZP/kXFCeczaVIbM6n4MCNyO0dzfaSE/fDavhFl9TVJl7oOE4+nfziwVlXXq2oTMA+YHqXe7cBdEEznp6p1IQKfB6TsyjI6kxzmLptCYS/LV6hr6FhmQCMs8bPb1w3/y48rWLLMya1zoidMi8bYy4/lnHNg5Mj265rwTueIJvrRuPuZERFl957/EQBH9FqVUJviJR7RHwKE9tfb4isLICKTgGGq+nLrnUXkCBFZAXwBXJEKL9+P8fTjZ+NGX+eQNpj3zYdwHHQgJ151IIcUfsWtD8XKExuOeQB3jPnzoaQEhg/zcshxvdutL4SHEHKL4sulH4q5V9rH0xI8SM0N8cnYJiJFf8RAa/BWjsNDMRUR25NNlxtyRcQB3ANcHW27qi5U1fHAYcD1IhIxPlxELhORUhEpLWtPeeK2KyEfkzWMHAkjh8buXvbtMUu44N2fAtBraBGf1YzloLOix/xjYYSlfW78tZfpvvfozVviuz3PGrgwbD23T+zR0a0x4Z34aaprCVmO3UB7y3fWtvk5rhzrvOY4W9h05Ax29xyVGAPjJJ6raiswLGR9qK/MTxFwIPCOiGwApgDz/Y25flR1FVDjq0urbXNVdbKqTu7XL/7X2PYwIhMf26x2Weqagg1//h46AM/dvZ6/LZrQ6c83whI/d/y+436Y0xHu6ffoFX/Yza7hnZdftvJEJZLQPvfNDbFF/7xz2m68lVEjAcgZ1JeiD1+lT+XXCbAufuK5wj4FxojIKBHJAS4E5vs3qmqlqpao6khVHQl8ApypqqW+fVwAIjIC2B/YkOgfEQ3j6cfH/L9sYciQ8LL9WcXqpxez+NSbeEhmcu61+9CjuPPj+MS2HYMTTyEx5tNrA683/GLv0LVv0xQZp58Ohx3W9c9paIAlS6zl5rr4RL9Hv3yuOX5JzO3OfayQT/GBw2LWSSbt3o6+GPws4DVgFfCsqq4QkdtE5Mx2dj8aq8fOUuAF4KeqWt5Vo+PFbhdyoigvh4oKmHFmDdN/OjRi+7fHryDvonOY9PLt/MTb/uCreDGefmxaWuDHP+5cOoQWb+efquLvW2Fulqhc+dMmJk2CzZvj9/SLBhTwhzcOibn9W9+CX/8aHnggoabGTVzum6ouABa0Krs5Rt1pIctPAU91wb5OY7psxiYYQesRse1vU+by/X8ndjhFoMumOSExWfTaHh59tA8Qfzzej0e78FprU08/EajC3MetRvEdi7fSf2Dw4drcGF30/3vlG/Qde0JY2Y+ml/Hoi8GwtdMJd9yRBIPjxLYv3ia80zkO+MEUXIMS164SihGWSBpqWpj9rc+oWr65/co+/jptXti6x9v5iz2QcC1Lz42/PQvg6RtWMvcXKwLrn34cbLit3743rCG3uTH6ATv9vhMiyn5xeT2nn54AYxOEbUUfsvdCjsZ111kPwtkh46l7UsnV/DGsXq+B8edriRfj6IfzwgtWQyPAIz9exF2vT+L2O+NrM+mfu5ehx4SnsW7x5Xs5njdY/4fnO2RLNidce+45GDIE3n7bWv/u78Zx+Z/HU+ubX7h24fJA3ardzWF98x99tVVDWBsUFOfw3/8mxOSEYFvRN55+kNoa5e67reW77gqWP3DxYv6o14TV7Tk4MuTTVbJZWKJxzjkEPL8//c/qzFZe1/7D9ubvrqN0VQ+c7vDb1uO0el1NOLKIUdd0bromO5yaBQvgiSfir//hS1bahKXvVAQGwwFs2dBCY2NIewdwxk0T2VMe7JXz6tJBgeWXLn2hze/xj5s4Y1oVblf60zLYVvTBHhdyIli/KHrb+f5HW3nwd78W7NvWc0hR4g0wceOo1NfDxj1WXvyKluBxn8UDXMFfWM54li0L1j/71CaGjXLhclvHcxDbmO5+mYt+bfXzHnH2oR22wU5dNk87DX7wg/jr6+eWJy/LlnHB2Y2B8hf+Xk1eHiz8MnzOgldfj94Vdsj5R7b5PTk9LNGf/3ZPmprTL7m2zqdvRMZizcflQGScfv+TrK5jfb41mf88tI277hZ6DBgUUa+rGE8/Oms/qwIsYSn39gmUXy93MfhHp8Ktr8NguPmMJdz230PoPcZ6SPsH94zuWcZ/Kk9DFXoPh7PO6vztrFl+bizHyArZPPKEdRwXLQ4X+TueHhl138LebY+A7swI6WSS/sdOksj28M62bfDqq9byu29F9jR44rR/0XNYMPXu9J8M5qOvB+FI4hWRbV02m5qsOVNj8bOfBY9H6KQ0JV+8DXPnwuDBANzyn0P4ep2XEZOtB7c/7ODPuiliTcLt7FgqpMC+AJr+qEPq0eDxc3uDnv76XdZbV/HO1XF9TGEfK7FdLtEnxM0pjD/baSqwrehDdjuWv/r+Dk45Bd5+08vnq8I9wLIb7uP7//hWymzJ1sFZubkwbnRjzO3vLome7z5n/JiwdYcDRu6TnINop/BORwmVB7dE5tJpbIn+FP02z/DmpGsD6wW9c1n3yldsWho9j05ObmYdY9vejtnu6Ze+b83sc9wJDlaUD+ACV7BXR8lvfxHHFIeJJxsfwqGTZGcy2XBufvkLbyDse8MNsGqPNa2hCLgcka86T++I7H4J8IxewHGL/xBYL+zpZJ+Tx9L/4Oih0UzTItuKPmTHhRyL0IbBsubeDBlr9Q45I/e1lNsiWdSQe+218PHHyf2ORB7HgKefBSfn3j9bcrdrcyO/+x28vmn/wLYqb+d7rbljRG+WLk3fqNu2sHVDbjbR2Ahr1lghhT17oNobPrJz0CCh9uHPyBl5cMptC8z4ZHNhaWqCP/7R+ov1U9etbAQS4/0n8hK3+akJp7ISCKYF/6qsN183RaYj6SoHH2z9ZRrG07cJV357GxMmwNixMGVKZA6X3gNyKDh6Eq6hA9Ngnc/Tt3lDbmVZEwAOwhvO775LufrHVVRXw4QJmXUM7DhwLtpvefAXwXTHTU3h21avbvvHnznoU3Z+trXNOt0JW3v6drqQ2+Pj16qAwYH1ZsLfOXuVpK8HQbY05FZurgJKcNOM1+PA/7C7brYAPdm9diP13uCkGgPZwQ7CH8I5jmag7XNlwjtt443SE+lnfx4dWG6oCld9bYmdPO2249/lpjeOoa68LmH2pRvb3o7ZEN6pqLB+5+iRzfRwh1/InlbP817909+gaCNdiUrl1moAnHjYuzOy1847H4WLucMRfkAu2GcRFdVxPJzHjwdAxo5pp2Ic2LC9xdPcdv/TPTtb9aMN+e0PcxmX8mhg/aY3jgEgrzhi7ieOL1rIAHZ03tA0YVvRB3tdyNG45WfWMPJ1G90U5LQ9fVuvgW1PeJ5MAg25Ngjv3HCDFbOPRuU2yxuso5C+QyJFYmPT4LD11n6JW5soiCP10eFH53DQQXD3nI5n5GyNHcM7ddXhnru3OXx9yozwmaq8IVlKL9t9J/f+IdLzd7gipfKNysPZ4R3QFVPTgm1F346e/n131FJcFBT39e9sCizH6kHgJ52jAu10Ln73O6uHTjT2bI/dJz8agQZuH/0Oim80dGEhLFuWmElCgucm81W/shI++qj9er37h98MzTVtn5cPKkMm8+vTB/ePL4la78ppy3jp3jXBApFueXHbNqYP9vJeAK660fLstm3x8s+5NZTuCPY42FbbM6L+/qxiD33YxQD6jSlOmZ2xsIOn3xYvvdmxt6nQhF6PPAIXXbRvG7WTROAtLPVf3VEuvNAaZV5ZCT0jL/eo/OfRco4/0QHEfoVqJtwhchdE96DuezsDu+J0grg8fRE5WURWi8haEZndRr1zRUT98+OKyIkislhEvvD9Py5Rhrdvc6q+KfVMP2wr197ek52ekkDZsprREfWuP2MF29bUsal0F4MPSd9rqJ0bcg8bV8ONP6sEYNuGpnZqhxMq+j/6EXGFdhJNdxqRu3Kp5bGXl8XvPJz94xJ2bGk79Nma1llM7Ua7v05EnMAc4BRgHDBDRMZFqVcEXAksDCkuB85Q1QnAxaR4Fi27efp+lu6Ir9tl0ci+OEePYtih/duvnFTs0VgYzf7SVT2440FrdHNDU3QB7Us5/dgVUe7IoJBKdzg3vcutbpcV6/Z0aL/dGzs+77CdieeRdjiwVlXXq2oTMA+YHqXe7cBdEMw6pKpLVNU/N80KIF9EUtKNxC5dNlVh9PAmHvtLMC7ZEqNL37wT/0bd52u5/6hn+PBXL3LWn76RKjPbJJjUq3ufkKOPDl9v/XsaW6JHS3dTQhmRD97WMf100J3OTW+31Ttq9+baDu039Tv7JMOcbks8oj8ECJ3LbQv+HKQ+RGQSMExVX27jc84FPlPViFYVEblMREpFpLSsrCwOk9rHLuGd+lov6zbncOlPoz8rr+IeZvEA83/1ARe89kPyJ4zmZx9cwJF3TUfcmdFkY5fUyq0bEesrglkVF33YTIPHxfQeb7T5Gc9ftyiwLChPnDyP7+Y9l1A7O0J3Cu/0zqsHoGxT9GyWhvjosiqIiAO4B7ikjTrjsd4CoqZ2VNW5wFyAyZMnJ0wZurnGALB3czUQOznaeXOO48ifTkydQZ2hG/cF37QJyspg+/bIbVWbKwGr8faIo92MzXGT1zcPfNGEoWxmC8MAeP3B1Sz7uI6BI4IP73E5a7n4lQu5ONk/Ig66w7nJ9R26zV+Hx+jr660UJF3l8fsqaeteswvxePpbwXflWgz1lfkpAg4E3hGRDcAUYH5IY+5Q4AXg+6q6LhFGx4NdPP3KrW3HI0ccnP5eOe3RXc9FbS2MGAGTJ8MZZ0Rur/INxvLzVdMo8txeKq67kzN5kUXPbuSb++3gjImbOWHmflz9j0OYevlBPPm9N3g+/7s8/XgbyfZTRKCRvTuovtvqZXP9U+P48stg8Q9O3Rk1x805dGy+4EuuDAr+v/5lJUyzI/F4+p8CY0RkFJbYXwhc5N+oqpVAoBuJiLwDXKOqpSJSDLwMzFbVDxNpeDx0h+s4Gtf9opG7/5zLmjVw1Y1td+kYctTI1BiVALrb+agvqwGiZ1985RV46W+Rg6PycrwU3zmbF++01t89P3y7OITv//0E+Hv0tL2px/cWltD0bckh1Hl49qFybr7fkp0P3oueRiFn6AArGN0Jzjuvc/t1B9r19FW1BZgFvAasAp5V1RUicpuInNnO7rOA0cDNIrLU95eSriTduSH37j9b77FjxsBrC3uHbfte75fY/Pe3AbiwT+rTJHeG7hrT99TFHtRz6qnw0AuDI8rzcrtBh/cQgiNyM//chDZ8714UDBq4JLroe7RteVv67Ff89ycLEmNcNyKumL6qLgAWtCq7OUbdaSHLvwV+2wX7Ok13Cilc80sPJSUw+9ftz3d39/8mMnDyUDY6P2DQiUekwLoE0E3TMDQ3dlzAq1vS0Nm+CwQTrqXXjtYMHdRC/xIvn30RHDgVektXV1nnpqnew0bPMKLR4m1b9F25Tk5/6FT4S5fN7VbYehRCN3BeAPjTvU6uv8ES/Gg2n8e/AssDDrb66A+/6Gjc/TI/ng8h3mQ3CCGE0lQbf8zdn3hr6+7InDsZTYY2sm/d4WLJ8lapQ0Iun+pa6375z42lMT+j2dO2vPnng86njum5r3TKzu5IZvTpSwLdydP3c9VVULZkC1ZbeZAZVw/h1jEfsOJ/WxH3Bekxrgt01/BOU138Izn7uyvY2TyQHTVdT4KWSrpD7p0tW6BPn/CymgZL9KvKYnffbPG2LQL+RGx1WyqgcGrXjOxG2Fb0oXtojCckHHnffdBa8AF69nUz/vLDGH95ysxKCt0tvNMRT//iE7ZxzSsHcHbRm0ACUh6nmEzOvTNsGBwzalNYF8KqBqvdq6Yydi78Fm/b4VKP/6EwZEib9eyGbcM73cXT37uj/YEmRf3TlxY5EXSnAUChxOPp96SSjV818sv/HkvVz2/kpte/mQLLEoex6V3+AAAgAElEQVT/3GTq49jrsSx79+vhYeHBumZrVHp1ZWzLb74iMvVFKMWTI/NVZQO2FX3oHp7+9lV7262T1zN9aZETSXc4H6E01Uf3Ii/I/U9g2YuD4WNyEaeDoj//FseBEWmpMppg6C2tZsSkbnd9YDm0N87GxgGcMHYjm8qit6E8ddn7DDnpwIjyU8esobERvvgCho/ons5IV7Gt6HeXLpsTToxMnnZYj5UsOOdRzip+B4CiPumb6jARZFJ+l38+rTzxeHx2xPL0b39+HKU3zweghqKE2ZYWMrQh10/NruA0hZ6QGH2Ft5g314zg0ZVHRd3PleOgR+/gffPTy61zOe3iEeTkwIGRz4OswbYx/UwP71RUwK4Yb583zKzklDt/xFHry3n7nv+xz/FRs1d0GzIpvPOd71q2XPKD9uvG8vRzeuUz8tLj4bZEWpYeMmlErip8/jlho2try4Ki/6/NU9rc30VzIBmh0wX9Jwzg87kfM/bsA3EWFzFuAlx2mT3emruCbT19yIjrOCZ9+sD++1vLv2c2/dkZ2NboS9Hbc58Spj/YvQU/lO4wAOihO6so/aCBuTds5KTZh0St4y5w02eY1UvnW8WLotbpPqTf01eFmhr4x6MNTJwI8/8VHBRXUx5/crULXcHEdR7fS9qEH08lt6QIlwtmzmx/hrlswLain8mefusbbMa8s9jy708D64ee2Kp/WjcnE+LGqv7eUW0z8/qeHPaNPH53V+yeHzk9chCBzR9u4oXV3SuG35pMmCP33t/VU1QEr/55NQCr/x6ckuMft62P+3NufTTYv6ehPvMdjHRh2/AOZK6n31Dnxf+8HStrGHHOoeB20/DeItz7DMMxZGx6DUw0GRA3fm/+Xq66KvpgNq8XZl+6ix/+ohdgdQXs6aqDGL0Bcwotd3HokcOTYWpKCY7ITd/J+dc9m4GxrN9iHdf73gu+Yf1x+clxf07O/sG8+Y0NGXrzZwDG008DDXuDr6xje+0IvHPmfuNwHEPimxy7O+HPmZLOhtyWlV/F3LZu0W7+8ER/DpgYTHvc4giPAzx53vzAsrvQRnFh/wM5jaOlXc1W3L6p2bJhW1XnGsfd+UEftrEhgwcepBnbij5kpqevCldMDyZnH9gn/el1k0/6n8DunNg2lH9ZHlG2qn5U2PrBZ+/Lfr2tdpdYE2d3RzIh4ZrL4cuj4+1a4MGdFwzJNZp5VmJi2/BOpnbZ3LOxmmcX7xtYzy9MvyAmm0yIGzd6w4W6uRkWlyr77CtsWVUddZ986ridm9hFf8YffBZvL+/Poo+aceXYT/TT2d5S4ekJQIOna29QrrygnJ1zYvRzarCxp58J4Z1HH1F27gjeTUvf2sNlZ4ZPwZSfm4FPpgSTCbl36mvDA/Q5OTD1SOGQffayYnl0uwqljqu/uoK7XtgP17ixDBosTD/PPoIPpL29Zds2WFZjjYyt93Zc9A84ILgc+ga2789P67JtdsW2nj6k17PctqaWH19WyBHDt/PqskHMPmc1D7+9HxDeMye/e2dYiI8MaMitr47eKruttpjfLDgs6rYGzbUmNRjT/XLpxEu6naPtn5cB/QCo9nYsWV0fRwVLlvQmzzcoNyzslu4flsHE5emLyMkislpE1orI7DbqnSsiGjJVYl8ReVtEakTkwUQZHQ/pPOe1tfDZ+7UArNpcSO/e+AQ/kpH9a1NpWlrIhPuvviZ2Yq5YNBJ9MnpbEXggp+eJ7NhdFliu1vBZypy0nftoRM6OwLy5EB7eMcSmXdEXEScwBzgFGAfMEJGIzskiUgRcCSwMKW4AbgKuSYi1HSRdnuV3Dl/DGZdaE4RVac+Y9X7o+jsXzz06VWaljwyYRKW+tu3eHIc6lzKjODyn+n7u+PuId1cCCdc0TU9mR1CCtJUcPXT2G23u6nZaD/LPnlrBl/9dk1EjvzOZeDz9w4G1qrpeVZuAecD0KPVuB+7CEnoAVLVWVT8ILUsVqW7IXb6wllF99rJru4d3V5a0vwMw/br9kT6926/YzUllQ+62TS3874XIt6f6ura/fOzQWh5aNDmwnk8db3/SvWbB6gypaG8pL1M+/cQT9Ssam2Lv5y1su+tmjsMS/UO+O579TrdCcIN6VHHPzzd01tSsIB7RHwJsDlnf4isLICKTgGGq+nICbesSqQ4p/OmHy9lQUcxLt5ZS4Ij9jLv38P8LLA/q3/GQQ3cklRN1nH7oNk46p5DN65vZsydY3p7oN3jcFI/pxx9OteYf/tlhCymZ1P0HX7VLCtpbpuy7i8OnOpk6dnfEtsba2PdAn7w6zjtuT8ztuc7I8M+26p5c9eeRnbIzW+hy7x0RcQD3AFd34TMuE5FSESktKytrf4c4SaWnn6eW0NdXNrYp+lMvm4CnsoYl183jsJ+1nUDKNgSybCbvK6qroawMNpRb3uHwfd18c6w1heHe8hZufO0bUfcrcDX6/lvjJS6/Zz8uLnyO6x4akTxjM4hUOEfrqgcAsHBt34htjTWxx6mce/N4/vVmHzYt2hF1e44zO5ymRBOP6G+FsElrhvrK/BQBBwLviMgGYAow39+YGw+qOldVJ6vq5H79+sW7W5uk4mJ+7A+7efvFKgDy86wnTH2t4pTY6tZrUAGOnj2YeOeFmdHCmQIkBb9z/JAK+veHnq5gaGfFbitt9XOzo8+jesY+K6iuc/H7E9/i3pes8EDRfoN5ouY8+kzeJ+o+diVd7V8NMTz9ge5ynMMGA9YE5n6+eu5z7jlxAQBulxl12xniae7+FBgjIqOwxP5C4CL/RlWtBAJBbBF5B7hGVWPPWJwikn0hX/ory3OpqVbuXTINgGtfOoYeUhNzn+Jh3Tz/ehdIRg+Rn/6gjuJi2FxttY1UeyLj8MWF0QPHxx9UhsM9ntn/Oy7hdnUXgg25Xf+sTxcpny5SRg2oo0dPB984qYC9q7YDkalF3npuD5+8Xc+YgkjRf3DYXXx/WTBwECr6RWMHUTSgAoAcpxH9ztCu6Ktqi4jMAl4DnMBjqrpCRG4DSlV1flv7+7z/nkCOiJwFfEtVV3bd9LZJpRP97E1fAAcF1mu0B4flLuORa79i4m/PD6tbPDx2bx674s/Znozwzl+eCBf51t3+du+G/F7RB/3k5GbHm1ZbJLLHy+FHCFYszzoHT17yNhc/cWzUusefb41Xeeqnm8LtwcvMr66EkO6XrpD0Cq5cZ6DHT47x9DtFXDF9VV2gqmNVdV9VvcNXdnM0wVfVaaFevqqOVNU+qtpDVYemQvCD352a7/nhfUHB/zbPAJCbJxx8e1DwfzLlMwDyemVB3+9WpCK846eZcIEvKYHTb4/edmJEP0gyutM+8nxkz7TF/9vN8F6VgfW9Fdb33sBvLTtwEBht5cOVFxx05cp1sm6bNaJxfMlODB3H1mkYkin6sW6SH/zaepXdVG+1Tbw2cz6PHPMP5nw0ieZsyK3WBumeROVy/hq2PuMWm6Ww7gTJ7Nu+vT4ylfWbD61mc1WvwPq2LZa3fuYdsTs1hA66cuW7ueIbK/g+T3LlddHnxzW0jW2HsCXSudy920qXUBASSbB6HUSGDU6YfRjfm/chR01zA4P41oNnBra5bHu020YS4FrMOn4lA/rDTf/X+UlLJk0fDi9ay5eMfp+CfaL36Mkqkthl09+PPpRePcLL1m213nz7HBK7t1SY6Oe5GDF7Bk8e/ykcFX1+XEPb2FqGEnUhl5TAwL5NLF+dw55NNexcV8O4SXmEin4e9Tww+E5cRb/h7+vMxRiNrsT057xlif1NwWEONDcpHUnb3LNfMLRmBm9aJHPgXIGrEVq1obee0erZ9Yexj6xn4P7RJ7gBcLqDXoM73wVuhxH8LmBb0U90GHnH7hwGD2hh3/wKVtUMi9heW+XFUfSbxH6pTZAkeZOvzI/+thWLniXBukW5bQwFzSKSOXCu0B15jKPNaHXEkC0UDDkSgFwagPCwTUimBhwu20akU4atj2AiRKYuJDtjk8cVVfABHEUdyxCYVSShIfeNf1cx/fyOpeIt6h9MaXrtA1kw2jYeAnmREv/R/slRQokm+gX54Mhx8SAzWTzz8TY/M0uGtiQV24p+oi6O8nWV7VcytEkghJCAHiJf3vkfALa8tDSu+ved8lpguecg68F8aMFKhkyzb7rkjpDMhlyPN/KzGxojywrzLMdqps5h/IM/SZo9Bgvbij4kxtPfvb5t0X/t3LmU/+PVrn+RjUlkUq8Drj+LtS+uaHP6w1DGHhHsNjjhvP245tC3eGa+/ROpdZSIU1NdDZ6upTlo8UbKS2NjZL2CfPtPJJRJ2DqmnwjRL98Qe3QtwLeeu6zrX2J3Ejz59o4tLexYGZm8Kxo5+cGBPQ6Xgz+UZu/o22hEHZHb0AA9e8LPfw5//nOnP7vF64woa2wCF820EOx7X2CewSnFtp5+V8M7/pvg1vvCexVcvu/rrH8hvtCCwSLR6Xvnz93BNe+fFVddd56TD//6BX887e2EfLfdiBreqfXlL/r737v02S0aKS8NjQ76SnjmzIIsmCc6k7Ct6EPnNebBG7bjcMDunS18tDm84XZ7fTGjzprIc7/8kJXz1ybAyuyhMzH9H5xTGfEA/+jrgXHvn5Pn4MjLJ3D1S9HTARgsQu+V5iZFUO5vvDxq3fp6K/LTWOehuTF2C3DU8E6zg3xHeK+e/IL4RH/S+JRPy2FLbCv6HfX0v1reRL67mTUrmpjzJ+viOuaA4DDvsuffYz++5PoZGwE4909HccAZoxNmr50JhBA6Ed554oVeEWWeKB7kg31vibr/qAk9opYbLKKFd6orLSG/pSH6zKgFBXDR+GXkFTqZ0GsjW+YuYO1v50XUa9Eo4Z1mIdfRzBun3csPej4HwIZt7ffC2rsXPlpsRuAmAtvG9KFjnv4z15bS0HIkT/z8E3a0WAOBVlQE54opOeebfFm+G/qcm2gzbU+iwztNnsjLtt8Fx8JD4WVbHn2VAVNPTsh32pVozpE2W5OTSJS++/5T+OzqgwFY3TiKYZePivrZ0WL6dU0ucp3NHP/SVQyd+y6PXw4nTdjWrp29Ip/9hk5ia0+/IxpTnGd5989+PJS9nvBMmP847jFroW9f01G4MyR41Ge9xx1R1ntALkfzPg8d/FdysLqI9DhxamK+MAsIzYvkaYidJKqpNv4EUtE8/fK6Anr4Jq7Z77Jj0Hfe5fj7o82+akgWthb9eKmshL98ZGXKXFs/NGzb7hU7+M6bP0ykaVlHorNs1nuC6RQm8DkAvQfk8H71Ifyk9Ef8aMy7AOQWdWzwVjYSaMgNjek3WF01o3n6tWV1cX/2upbIfDpf1/ZncM+QHnHHHAPuyIe4IXnYVvQhPs9SFYqLYdWu6JOZ9xkXf6OhoW0Slb63zhuM7d464gkceNh/ght69ACXi/uXHsOezzaQ1zu/jU8xACHdaYM010fOPeunrjx+0Qc4uHANJwz4PLC+09ufQX2jdNY3pIy4RF9EThaR1SKyVkSit+5Y9c4VEQ2dKlFErvftt1pETkqE0fHQlnN504VryPPNibp3S2Q//Ev6vZQss7KSYENuYqjXoKd/zvxL8Hz3EnocHsy+6SzIpfchIxP0bfYmOFo6WOYXfUHxeOD3P1xDbZXl/dfu7lgPmikjtnPDJeEx+/6FtTFqG1JBu6IvIk5gDnAKMA6YISIR+W1FpAi4ElgYUjYOa3rF8cDJwEO+z0sJsTz93z4zhkaPmx1f7qVqa3XEdmfvnpRQhossT4CfIAJhgk6ovj8+H0o9IR78QQfBU09lb97qLhKtn34wvGMd1l8/PobrT15CTQ387Yn2b9/9+DKw7HLCtN8cy7W59wfKrvhddkw6n6nE4+kfDqxV1fWq2gTMA6K1vNwO3AWEugLTgXmq2qiqXwNrfZ+XdNry9Ic4tgPwxfyvqdoR+boqwKbPdlP58aokWZdlBJJ6RVH9vXvhoYfYsV1ZsiR8039/9j+aiJxpLHQ0p6GLtMqA2vy/t1k340bfpuD5euDjyfzk+K/4wzPtJ6rrX1QfWHa5gNxcjr76CAD2z1lHybETEmS8oTPEI/pDgM0h61t8ZQFEZBIwTFVf7ui+ySSWp98nx/Lud21qoHJn5OvqiJJa8g/Zn4IpB0VsM3SctpJ61c66jidnLmTQYGHSpGC5p7yCMx/8Vgqsy25aO0ezztnGmfpi1LoLPo3e7hXKKNbT4Ak2oLuc1k2Y18N6E3OJmdc23XS5IVdEHMA9wNXt1W3jMy4TkVIRKS0rK+uqSb7PjC36/i5j5TtaqNoVLvrPnvcM1/336ITYYAjHfz5U4ZWHN+FpUW5YeAaX8GRE3TtOeCvF1mUpAU/fOjmvNk4LbCrzhov8Hu3T5kcdxDIWfutmGr0hM135FvOLrAW3I3YjsSE1xCP6W4HQXARDfWV+ioADgXdEZAMwBZjva8xtb18AVHWuqk5W1cn9+vXr2C+IQbTwzrp1sHIl5LmsC+8Xz3+DyvLwuP35/7oAd5+ihNhgsGg9OOs/tyzh1CuGc/9R86j0hI+YbWlWKj9ZxS3LzCC4VNB6RK5bOp9Z8/CRu+j38hM0hIyjcPg8e1eu1RYQLce+IbXEI/qfAmNEZJSI5GA1zM73b1TVSlUtUdWRqjoS+AQ4U1VLffUuFJFcERkFjAEWJfxXxEBbPLBlC83NcMkpOxg9GsaPh+aQQSMX3R97QmZDgmiVZXPth1Z6i18umsGgrz8Kq/rZw59SPPWA1NqXxbQOveU4O++J5xc4wOVicHGwnWzbVutp4mn2ib8R/bTTruiragswC3gNWAU8q6orROQ2ETmznX1XAM8CK4FXgZmq2rUk3XEiAiz/AoYNY+Ejn/Pkq8H+9g0t4T09JucsS4VJWUvrSVTqKoI9cn7Pr8PqHvGzyHZ+B9EvmW+P/ixBFhr8XTbdUSYzD+WswQs5vHB51G29elof8uzCkVx9xlcAfFa7HwAOl3URFOebPvrpJq6YvqouUNWxqrqvqt7hK7tZVedHqTvN5+X71+/w7befqr6SONPjsLvW8jhyZ14aVl7vyeFI50JcNHNjr/t54dkWbhn4MMdi4sjJIOhN+kS/oWMjdCcVBLsATulhCc7G9zbyzJpJsXYxxElrT9/djie+tzb2KOdexZac9BvVgzv/PZaTjq7h/n/0BWDKpQdyywkf8vjb0fP0GFKHbTs3h8b0c1v19V7RMJqLhm/nw1fXwv4/AxFuPWl89Gl9DAlD1Toptd7IWTPyqKeB6CNotzf1ZaRrMxtahvH0/CL2ORbA9PVOCKFdNjdtwl2zp83qXgRiZEvt1Te8AffV94PtNQ6ncOvrR3XZXEPXsXcaBt/F6SDSe8lze+GAA4JPh7w8k8ovSbRuyFVH5ACf178T2YPHT0FLVSB5l79B0JAYAqE3BUpLyaGpzfrNrTJnOgm2Aew/tXfr6oYMxLaiLwLqcsOJJ+K56TcR250uky0zZbQaACQa+RDuecYxUXe9sd/DvPrQ18z/5bv8kL8x9OC+STMzGwkL76i2L/oeZ2CE9V8vepdxuesBuPnY9/nGTDOupTtg3/DOiuXQ0gKnnILnmHOt8cIhuNSkWEgVrbsFeqKEjYv6RU6Q0dTgxZ0bnL3pb3cnxbzsJvSBrIq7ndQjzV4nTqevJ06I43TMaWaymu6CbT199uyxwjsXXognSoeEqSO3p96mLCUwnN+n+p4ovQKLBkTG+d259r08M4Ww8E4coh86763LLYHwfugE9IbMxrZ3lRQWQGEhDBoUJvrrGcVLnMZ3Zw+NvbMhwYT30/d4w0NrTlooGmwGxKWdNsI7b3/7LwB4NSj0LrcEQj1G9LsPthV9vF5UrJ/XEuJZjrr9Uk4r/zty7LT02JWFtG7I9T+Ef3yhlQOpxLGH3OJgz50tq2vZuqZjedsNnSM4hsILqjhjjImYdPvZzORBnvvNykCZKyco+u48I/rdBduKvqgnIPp+kbmzz91www3WtIeG1CGRMf1ROVt48K8upshCnr5+RVgf2yFjCxk8OjLcY0g8gcPuVVBliC9LyqD+4eKf268nD+osxs0+MyD0Lrcj0HmzraR6hszCvg25Xg+0Ev0p//5VrC7GhiQS0ZDrEZyi5PTK52PvEYF6F/E0Rx5YDVyRBiuzG/WJviIUUcXyz/PpOzDovbvyg/l08nypGpxuR8LnPzYkH9uKPl5FHeGib+bZSA+BSVQqKuCZZ/DsAGf+PhH1nvbMMBPPp5iwFBmqvMTpNOMmryh8zgJnbvDmGdizDiqhpsobMkGOUf3ugn3DO14P+DxMf0zfacKO6cEf3nnySas3FU6cEkUkHA4j+ikmGN7x8v6qEtYwlgbyyWvdgzbkvAzsYzX27tjSzHEH7QagZHRxCqw1JALbin5oQ67f0zeinx5ax3s9OMNGchrSj3q9lK+rDKw72lCGb3/b+n/UFC93vjuVNe9tZ9hhA2PvYMgo7CP669bBJZfA558DVkOu3zsxop8Z+LtstuDC2WLyHGUCYQ25//fPsG07d8InA6bzED8JK5/662PxfrGCqbOPwZXrZPQ3BqXIWkMisE+Uu7oannwSpk2D1auhIQ/tEd5l08T000NUT9/T9nB/Q2rxZ6QNpX9/6P/FoxyxYUPENjlwfAqsMiQD+8hgz57W/2uvhfJyhBfROmuCZuPpZwaBwVk4cXmN6GcCgYbcnbuCjbKh9Otn/RlsQ1zhHRE5WURWi8haEZkdZfsVIvKFiCwVkQ9EZJyvPEdEHvdtWyYi0xJsfxC/6JeXWzah4PHS0gK/8eVbM6KfHgLCEiL6TjUx/UwgEN7Zsztwfgz2pl3RFxEnMAc4BRgHzPCLegj/VNUJqjoRuBtronSAHwOo6gTgROBPvonUE49f9ENQr/L889a8uGDCO+kiekNuSiZQM8SJf1Yzg/2JR4APB9aq6npVbQLmAdNDK6hqVchqIQTeE8eBNR2Vqu4C9gKTu2p0VHLCZ/QRFHJzqa8PlhlPP020miPXiH7mENpDNmp4x2A74hH9IcDmkPUtvrIwRGSmiKzD8vR/7iteBpwpIi7fxOiHAsO6ZnL86Ijw2ZWM6KeH1l3vjehnHia0kz0kLNSiqnNUdV/gOuBGX/FjWA+JUuA+4COIvNtF5DIRKRWR0rKysoTYIwX54HTRHJIp1oh+mojm6TuMV5kJtG5vMdifeKLcWwn3zof6ymIxD/gLgKq2AFf5N4jIR8BXrXdQ1bnAXIDJkyd3Xg2qq8HthtxcOBt0HVQGx5uYmH6a8IcNAqLffxDOcQen0ySDDzMAOvuIx9P/FBgjIqNEJAe4EJgfWkFExoSsngas8ZUXiEihb/lEoEVVV5IsevSwBB/fdIkaLvrG008PEQ25BUU4e0SfBN2QHoynnz206/uqaouIzAJeA5zAY6q6QkRuA0pVdT4wS0ROAJqBCuBi3+79gddExIv1dvC9ZPyIaPg9GCP6GYDXml4v4Omrw5yLDCHM0z94otUKZ7A1cQU8VHUBsKBV2c0hy1fG2G8DsF8X7OsSqrB3b3DdCE16kBZfw0p+Afzkl3he7WXORYahiDUE12B7bBvlFoH162HFimCZiemnCV8eDO3dG/70JzwLzAM4UwhryI0y1sVgP+yTcC0KoX30oe3MgYbkIb6Z0NVp5Wj3eIzoZwqh4R1vf5MpMxuwrQy27pXwwANE5gg3pAQZ5BOTk04CLMffiH5moQjefgPSbYYhBdhW9CdNCl+fNSs9dhiAYmuCDZ12LGA8/UxEETyFJryTDdhW9I8+Orj81lvps8MQ/tZVVwe7dpn2lUzCgccS/RzzKpwN2Fb0Q9ukjj02fXYYgqjC1KnQ0GA8/UzCgRcPTtbtKEy3KYYUYFt/q1evdFtg8BPq6fsmNjOefgbhxMPrnEjpXT3SbYohBdjW0zein3l8L2RoXlFR+uwwhOPEwxIOSbcZhhRhW9E3XY4zh2j5XVplwjakEZPxNLuwrej7Y8bfS1niB0MsjOhnNg68JvdOFmHryGpDg4kdZyoXXJBuCwx+nPk5eOtNy3q2YFtPH6yEm6aXSPpp7en/9rcwdmx6bDFE4uxRkG4TDCnE1qJvyEzyTVbljMI4RtmFEX1D0mnt6RcYxzKjMDmpsgtzug1Jp7XoG08/szCefnZhRN+Qcoynn1kY0c8u4hJ9ETlZRFaLyFoRmR1l+xUi8oWILBWRD0RknK/cLSJP+ratEpHrE/0DDJmP8fQzGyP62UW7oi8iTmAOcAowDpjhF/UQ/qmqE1R1InA3cI+v/HwgV1UnAIcCl4vIyATZbuimGE8/szAx/ewintN9OLBWVderahMwD5geWkFVq0JWCwH1bwIKRcQF5ANNQGhdQxZgPP3Mxnj62UU8oj8E2ByyvsVXFoaIzBSRdVie/s99xc8BtcB2YBPwR1XdE2Xfy0SkVERKy8rKOvgTDJmOEf3MprXoL12aHjsMqSFhL3aqOkdV9wWuA270FR8OeIDBwCjgahHZJ8q+c1V1sqpO7tevX6JMMmQgEyfCuNbBQUNaCRX9oiI4+OD02WJIPvGI/lZgWMj6UF9ZLOYBZ/mWLwJeVdVmVd0FfAhM7oyhhu6LanD54YdN3p1Mwy/6p5wCVSb4anviEf1PgTEiMkpEcoALgfmhFURkTMjqacAa3/Im4DhfnUJgCvBlV402dC9CJ6h3u9NnhyE6/oZcM4d0dtBuOjJVbRGRWcBrgBN4TFVXiMhtQKmqzgdmicgJQDNQAVzs230O8LiIrAAEeFxVP0/GDzFkLqGib3qKZB5+T9+IfnYQVw5KVV0ALGhVdnPI8pUx9qvB6rZpyGJCY/heb/rsMETHL/q5uem1w5AajN9lSDpuN0yaZC17zHwdGYe/d5Xx9LMDI/qGlNC/v/XfzG+QeXz8sfV/v/3Sa4chNZhb0JASnnoK/vlP0x0wE/H3rpo2La1mGFKEEX1DSigpgXRd3mEAAAWcSURBVJ//vP16hvRhBs1lBya8YzAYACP62YIRfYPBABjRzxaM6BsMBsCIfrZgRN9gMACmy2a2YETfYDAApjtttmBE32AwGLIII/oGg8GQRRjRNxgMhizCRPEMhiznnXfg66/TbYUhVRjRNxiynGOOsf4M2YEJ7xgMBkMWEZfoi8jJIrJaRNaKyOwo268QkS9EZKmIfCAi43zl3/GV+f+8IjIx0T/CYDAYDPHRruiLiBNrBqxTgHHADL+oh/BPVZ2gqhOBu4F7AFT1aVWd6Cv/HvC1qi5N6C8wGAwGQ9zE4+kfDqxV1fWq2oQ18fn00AqqGjqdciGgRDLDt6/BYDAY0kQ8DblDgM0h61uAI1pXEpGZwC+BHHyTobfiAlo9LAwGg8GQWhLWkKuqc1R1X+A64MbQbSJyBFCnqsuj7Ssil4lIqYiUlpWVJcokg8FgMLQiHtHfCgwLWR/qK4vFPOCsVmUXAv8XawdVnauqk1V1cr9+/eIwyWAwGAydIR7R/xQYIyKjRCQHS8Dnh1YQkTEhq6cBa0K2OYBvY+L5BoPBkHbajemraouIzAJeA5zAY6q6QkRuA0pVdT4wS0ROAJqBCuDikI/4JrBZVdfHY9DixYvLRWRjR39ICCVAeRf2tyvmuMTGHJvYmGMTm0w7NiPiqSSq0TradF9EpFRVJ6fbjkzDHJfYmGMTG3NsYtNdj40ZkWswGAxZhBF9g8FgyCLsKPpz021AhmKOS2zMsYmNOTax6ZbHxnYxfYPBYDDExo6evsFgMBhiYBvRby8TqN0RkWEi8raIrBSRFSJypa+8j4i8LiJrfP97+8pFRO73Ha/PRWRSen9BchERp4gsEZGXfOujRGSh7/c/4xuDgojk+tbX+raPTKfdyUZEikXkORH5UkRWichUc81YiMhVvntpuYj8n4jk2eG6sYXox5kJ1O60AFer6jhgCjDTdwxmA2+q6hjgTd86WMdqjO/vMuAvqTc5pVwJrApZvwu4V1VHY40tudRXfilQ4Su/11fPzvwZeFVV9wcOxjpGWX/NiMgQ4OfAZFU9EGuM0oXY4bpR1W7/B0wFXgtZvx64Pt12pfmYvAicCKwGBvnKBgGrfcsPAzNC6gfq2e0PK3XIm1iJAF8CBGtQjav19YM1CHGqb9nlqyfp/g1JOi69gK9b/z5zzSgEE0328V0HLwEn2eG6sYWnT/RMoEPSZEva8b1aHgIsBAao6nbfph3AAN9yNh2z+4BfAV7fel9gr6q2+NZDf3vguPi2V/rq25FRQBnwuC/09aiIFGKuGVR1K/BHYBOwHes6WIwNrhu7iL7Bh4j0AJ4HfqHh8xyglhuSVd21ROR0YJeqLk63LRmIC5gE/EVVDwFqCYZygOy8ZgB87RjTsR6Mg7HmCTk5rUYlCLuIfkczgdoSEXFjCf7TqvpvX/FOERnk2z4I2OUrz5ZjdhRwpohswEr6dxxWHLtYRPy5p0J/e+C4+Lb3Anan0uAUsgXYoqoLfevPYT0Esv2aATgBa6a/MlVtBv6NdS11++vGLqLfbiZQuyMiAvwNWKWq94Rsmk8wAd7FWLF+f/n3fT0ypgCVIa/0tkFVr1fVoao6Euu6eEtVvwO8DZznq9b6uPiP13m++rb0dFV1B7BZRPbzFR0PrCTLrxkfm4ApIlLgu7f8x6b7XzfpblRIYMPLqcBXwDrghnTbk4bffzTWa/jnwFLf36lYccU3sdJdvwH08dUXrB5P64AvsHoppP13JPkYTQNe8i3vAywC1gL/AnJ95Xm+9bW+7fuk2+4kH5OJQKnvuvkP0NtcM4Fj8xvgS2A58BSQa4frxozINRgMhizCLuEdg8FgMMSBEX2DwWDIIozoGwwGQxZhRN9gMBiyCCP6BoPBkEUY0TcYDIYswoi+wWAwZBFG9A0GgyGL+H8T83ga+BVcegAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xadfccad0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xadfff330>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xadf5c810>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xadf44f70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predict = []\n",
    "for i in range(0, 860):\n",
    "    predict.append(data_out[i, :])\n",
    "predict_test = np.array(predict)\n",
    "\n",
    "true = []\n",
    "for i in range(10, 870):\n",
    "    true.append(data[i, :])\n",
    "true = np.array(true)\n",
    "\n",
    "for i in range(0, 10):\n",
    "    plt.plot(true[:, i], c='red')\n",
    "    plt.plot(predict_test[:, i], c='blue')\n",
    "    plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}