Skip to content
Snippets Groups Projects
Mircrostructure Optimization.ipynb 4.64 MiB
Newer Older
  • Learn to ignore specific revisions
  • 10001 10002 10003 10004 10005 10006 10007 10008 10009 10010 10011 10012 10013 10014 10015 10016 10017 10018 10019 10020 10021 10022 10023 10024 10025 10026 10027 10028 10029 10030 10031 10032 10033 10034 10035 10036 10037 10038 10039 10040 10041 10042 10043 10044 10045 10046 10047 10048 10049 10050 10051 10052 10053 10054 10055 10056 10057 10058 10059 10060 10061 10062 10063 10064 10065 10066 10067 10068 10069 10070 10071 10072 10073 10074 10075 10076 10077 10078 10079 10080 10081 10082 10083 10084 10085 10086 10087 10088 10089 10090 10091 10092 10093 10094 10095 10096 10097 10098 10099 10100 10101 10102 10103 10104 10105 10106 10107 10108 10109 10110 10111 10112 10113 10114 10115 10116 10117 10118 10119 10120 10121 10122 10123 10124 10125 10126 10127 10128 10129 10130 10131 10132 10133 10134 10135 10136 10137 10138 10139 10140 10141 10142 10143 10144 10145 10146 10147 10148 10149 10150 10151 10152 10153 10154 10155 10156 10157 10158 10159 10160 10161 10162 10163 10164 10165 10166 10167 10168 10169 10170 10171 10172 10173 10174 10175 10176 10177 10178 10179 10180 10181 10182 10183 10184 10185 10186 10187 10188 10189 10190 10191 10192 10193 10194 10195 10196 10197 10198 10199 10200 10201 10202 10203 10204 10205 10206 10207 10208 10209 10210 10211 10212 10213 10214 10215 10216 10217 10218 10219 10220 10221 10222 10223 10224 10225 10226 10227 10228 10229 10230 10231 10232 10233 10234 10235 10236 10237 10238 10239 10240 10241 10242 10243 10244 10245 10246 10247 10248 10249 10250 10251 10252 10253 10254 10255 10256 10257 10258 10259 10260 10261 10262 10263 10264 10265 10266 10267 10268 10269 10270 10271 10272 10273 10274 10275 10276 10277 10278 10279 10280 10281 10282 10283 10284 10285 10286 10287 10288 10289 10290 10291 10292 10293 10294 10295 10296 10297 10298 10299 10300 10301 10302 10303 10304 10305 10306 10307 10308 10309 10310 10311 10312 10313 10314 10315 10316 10317 10318 10319 10320 10321 10322 10323 10324 10325 10326 10327 10328 10329 10330 10331 10332 10333 10334 10335 10336 10337 10338 10339 10340 10341 10342 10343 10344 10345 10346 10347 10348 10349 10350 10351 10352 10353 10354 10355 10356 10357 10358 10359 10360 10361 10362 10363 10364 10365 10366 10367 10368 10369 10370 10371 10372 10373 10374 10375 10376 10377 10378 10379 10380 10381 10382 10383 10384 10385 10386 10387 10388 10389 10390 10391 10392 10393 10394 10395 10396 10397 10398 10399 10400 10401 10402 10403 10404 10405 10406 10407 10408 10409 10410 10411 10412 10413 10414 10415 10416 10417 10418 10419 10420 10421 10422 10423 10424 10425 10426 10427 10428 10429 10430 10431 10432 10433 10434 10435 10436 10437 10438 10439 10440 10441 10442 10443 10444 10445 10446 10447 10448 10449 10450 10451 10452 10453 10454 10455 10456 10457 10458 10459 10460 10461 10462 10463 10464 10465 10466 10467 10468 10469 10470 10471 10472 10473 10474 10475 10476 10477 10478 10479 10480 10481 10482 10483 10484 10485 10486 10487 10488 10489 10490 10491 10492 10493 10494 10495 10496 10497 10498 10499 10500 10501 10502 10503 10504 10505 10506 10507 10508 10509 10510 10511 10512 10513 10514 10515 10516 10517 10518 10519 10520 10521 10522 10523 10524 10525 10526 10527 10528 10529 10530 10531 10532 10533 10534 10535 10536 10537 10538 10539 10540 10541 10542 10543 10544 10545 10546 10547 10548 10549 10550 10551 10552 10553 10554 10555 10556 10557 10558 10559 10560 10561 10562 10563 10564 10565 10566 10567 10568 10569 10570 10571 10572 10573 10574 10575 10576 10577 10578 10579 10580 10581 10582 10583 10584 10585 10586 10587 10588 10589 10590 10591 10592 10593 10594 10595 10596 10597 10598 10599 10600 10601 10602 10603 10604 10605 10606 10607 10608 10609 10610 10611 10612 10613 10614 10615 10616 10617 10618 10619 10620 10621 10622 10623 10624 10625 10626 10627 10628 10629 10630 10631 10632 10633 10634 10635 10636 10637 10638 10639 10640 10641 10642 10643 10644 10645 10646 10647 10648 10649 10650 10651 10652 10653 10654 10655 10656 10657 10658 10659 10660 10661 10662 10663 10664 10665 10666 10667 10668 10669 10670 10671 10672 10673 10674 10675 10676 10677 10678 10679 10680 10681 10682 10683 10684 10685 10686 10687 10688 10689 10690 10691 10692 10693 10694 10695 10696 10697 10698 10699 10700 10701 10702 10703 10704 10705 10706 10707 10708 10709 10710 10711 10712 10713 10714 10715 10716 10717 10718 10719 10720 10721 10722 10723 10724 10725 10726 10727 10728 10729 10730 10731 10732 10733 10734 10735 10736 10737 10738 10739 10740 10741 10742 10743 10744 10745 10746 10747 10748 10749 10750 10751 10752 10753 10754 10755 10756 10757 10758 10759 10760 10761 10762 10763 10764 10765 10766 10767 10768 10769 10770 10771 10772 10773 10774 10775 10776 10777 10778 10779 10780 10781 10782 10783 10784 10785 10786 10787 10788 10789 10790 10791 10792 10793 10794 10795 10796 10797 10798 10799 10800 10801 10802 10803 10804 10805 10806 10807 10808 10809 10810 10811 10812 10813 10814 10815 10816 10817 10818 10819 10820 10821 10822 10823 10824 10825 10826 10827 10828 10829 10830 10831 10832 10833 10834 10835 10836 10837 10838 10839 10840 10841 10842 10843 10844 10845 10846 10847 10848 10849 10850 10851 10852 10853 10854 10855 10856 10857 10858 10859 10860 10861 10862 10863 10864 10865 10866 10867 10868 10869 10870 10871 10872 10873 10874 10875 10876 10877 10878 10879 10880 10881 10882 10883 10884 10885 10886 10887 10888 10889 10890 10891 10892 10893 10894 10895 10896 10897 10898 10899 10900 10901 10902 10903 10904 10905 10906 10907 10908 10909 10910 10911 10912 10913 10914 10915 10916 10917 10918 10919 10920 10921 10922 10923 10924 10925 10926 10927 10928 10929 10930 10931 10932 10933 10934 10935 10936 10937 10938 10939 10940 10941 10942 10943 10944 10945 10946 10947 10948 10949 10950 10951 10952 10953 10954 10955 10956 10957 10958 10959 10960 10961 10962 10963 10964 10965 10966 10967 10968 10969 10970 10971 10972 10973 10974 10975 10976 10977 10978 10979 10980 10981 10982 10983 10984 10985 10986 10987 10988 10989 10990 10991 10992 10993 10994 10995 10996 10997 10998 10999 11000
          "text/plain": [
           "\" It:117 Obj:187.9237567425049 Vol:0.49998190910376733 ch:0.02723669304735235 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:118 Obj:187.92401773743708 Vol:0.5000087844228608 ch:0.02318532803161126 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:119 Obj:187.91246853526127 Vol:0.5000158836287496 ch:0.019338589759932467 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:120 Obj:187.90804246566063 Vol:0.5000168005915379 ch:0.015774414461790863 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "image/svg+xml": [
           "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
           "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
           "<defs>\n",
           "  <clipPath id=\"clip1100\">\n",
           "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
           "  </clipPath>\n",
           "</defs>\n",
           "<path clip-path=\"url(#clip1100)\" d=\"\n",
           "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
           "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
           "<defs>\n",
           "  <clipPath id=\"clip1101\">\n",
           "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
           "  </clipPath>\n",
           "</defs>\n",
           "<path clip-path=\"url(#clip1100)\" d=\"\n",
           "M86.9921 1521.01 L2352.76 1521.01 L2352.76 47.2441 L86.9921 47.2441  Z\n",
           "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
           "<defs>\n",
           "  <clipPath id=\"clip1102\">\n",
           "    <rect x=\"86\" y=\"47\" width=\"2267\" height=\"1475\"/>\n",
           "  </clipPath>\n",
           "</defs>\n",
           "<polyline clip-path=\"url(#clip1100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
           "  86.9921,1521.01 2352.76,1521.01 \n",
           "  \"/>\n",
           "<polyline clip-path=\"url(#clip1100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
           "  86.9921,1521.01 86.9921,47.2441 \n",
           "  \"/>\n",
           "<g clip-path=\"url(#clip1102)\">\n",
           "<image width=\"2266\" height=\"755\" xlink:href=\"data:image/png;base64,\n",
           "iVBORw0KGgoAAAANSUhEUgAACNoAAALzCAYAAADN4vhJAAAgAElEQVR4nOzcXY/U9d3H8e+yO1Aa\n",
           "oVJvwBsGZVYXJZGQSEXdk7ZJU9LIgZimG6MHetKTHvcxNFGfgXdLdEwPmpA0alJPxI2RGltsQ9om\n",
           "DIUB7yCtREGFWXavJ3Dl6pfm+v52HV6vJ/Ce/9z85z+zn52JDRs2LAcAAAAAAADAClqzZs1K34Rv\n",
           "lRb318TExFg0Isbn/lperv/zfov7qtvtljfWrVtX3oiIGI1G5Y0zZ86UN7788svyRovnbwverQAA\n",
           "AAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYA\n",
           "AAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0A\n",
           "AAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAG\n",
           "AAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxt\n",
           "AAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIGFq\n",
           "pW8AAAAAAAAAsLpNTEyUN9avX1/eiIi44447yhudTqe8MTVV/6feycnJ8kaL+ypifO6vK1eulDc2\n",
           "bdpU3ti3b195Y9u2beWNiIizZ8+WNw4dOlTeePPNN8sbFy5cKG+04BdtAAAAAAAAAAAgwdAGAAAA\n",
           "AAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAA\n",
           "AAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAA\n",
           "AAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAA\n",
           "AAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYA\n",
           "AAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEqZW+gYAAABwbVqzpv5/PzZu3FjeuOmmm8ob\n",
           "ERGTk5NNOgAA8J+MRqMmneFwWN5YXFwsb3Q6nfJGi8dkeXm5vNHq89X+/fvLG71er7yxbdu28sba\n",
           "tWvLGxMTE+WNiDbfQ7Q4lhavxRb31ZYtW8obLZ6/EREzMzPljRbfCx09erS8cfz48fJGC37RBgAA\n",
           "AAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAA\n",
           "AAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYA\n",
           "AAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0A\n",
           "AAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAG\n",
           "AAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIGFqpW8AAAAA16b169eX\n",
           "N3bv3l3eeOSRR8obERE7d+4sb0xN+ZoAAID/bDAYNOk899xz5Y2JiYnyxqZNm8obFy5cKG9cvHix\n",
           "vPHJJ5+UNyIifvvb35Y3er1eeWNubq68MT09Xd7YunVreSMiotPpNOlAhUuXLpU3lpeXyxvjwi/a\n",
           "AAAAAAAAAABAgqENAAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKh\n",
           "DQAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAAACQY\n",
           "2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAAAAAkGNoAAAAAAAAAAECC\n",
           "oQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAAAAAk\n",
           "GNoAAAAAAAAAAECCoQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJEyt9A0AAADg2vT1\n",
           "11+XN44dO1beuPHGG8sbERG33HJLeWN6erq8sXnz5vLG5ORkeQMAYLUajUbljTNnzpQ3IiJ27NhR\n",
           "3njkkUfKG3fffXd5o8XjfurUqfJGv98vb0REDAaD8sbCwkJ548SJE+WNu+66q7zxi1/8orwR0eYz\n",
           "7+23317emJryJ/7VZjgcljdanB9bHMe48Is2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAA\n",
           "AJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAA\n",
           "AAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAA\n",
           "AACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAA\n",
           "AAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAA\n",
           "AAAAkGBoAwAAAAAAAAAACVP33ntvk9DS0lKTDlS4dOlSeePMmTPljdFoVN4AAICsFp8Tz507V954\n",
           "/fXXyxsREX//+9/LG/fff395Y9++feWNXq9X3rjpppvKG5OTk+UNAGD8DIfD8sbvf//78kZExC23\n",
           "3FLe2LVrV3mjxXG0sH379vJGi2v5iIjBYFDe6Pf75Y0Wx3H48OHyxvHjx8sbERE7duwob/z85z8v\n",
           "b7R4ndx2223ljampqfJGq7+Ntngttmi0uL86nU55Y9u2beUNv2gDAAAAAAAAAAAJhjYAAAAAAAAA\n",
           "AJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAA\n",
           "AAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAA\n",
           "AACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAA\n",
           "AAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAA\n",
           "AAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQMPHee+8ttwitWWPTQ43l5fqn8MmTJ8sbr732Wnnj\n",
           "zJkz5Q2uzmg0Km8Mh8PyRivdbre80el0yhvj8ri3OA6oMjEx0aSzfv368satt95a3mhxvdXivLW4\n",
           "uFjeiIj4zne+U9745ptvyhstHneuTotz14YNG8obd955Z3lj79695Y2f/OQn5Y3t27eXNyIibrjh\n",
           "hvLG5ORkeQMAvg1afJ9y+PDh8sYbb7xR3oiIOHDgQHnjBz/4QXnDtdDqMy7f0Q4Gg/JGv98vb7Q4\n",
           "joiIs2fPljdafFe3c+fO8sajjz5a3mhxX506daq8ERExPz9f3lhYWChvtDg39nq98savfvWr8ob1\n",
           "CwAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAAACQY\n",
           "2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAAAAAkGNoAAAAAAAAAAECC\n",
           "oQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAAAAAk\n",
           "GNoAAAAAAAAAAECCoQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABA\n",
           "gqENAAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAA\n",
           "JEx88cUXyyt9I2C1u3z5cnnj9OnT5Y3RaFTe4OoMBoPyxm9+85vyRiu//vWvyxu9Xq+8MRwOyxv9\n",
           "fr+80eL52+LcGNHmPM/q0ul0mnTuu+++8sYvf/nL8sZHH31U3njllVfKG+vWrStvRERs2bKlvPGv\n",
           "f/2rvPHFF1+UN1q8J7oGXn3WrKn/n5+NGzeWN7Zv317eePjhh8sbERE/+tGPyhvT09Pljeuvv768\n",
           "0eL5C8DKWVpaKm98+OGH5Y1XX321vDEzM1PeiIg4cOBAeWPTpk3lDajS4jNvi8/uLb5rjhif783P\n",
           "nTtX3rj55pvLG2vXri1vXLp0qbwR4Tuuq7Fjx47yxrPPPlve8O0AAAAAAAAAAAAkGNoAAAAAAAAA\n",
           "AECCoQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAA\n",
           "AAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAA\n",
           "AABAgqENAAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAA\n",
           "AAAAJBjaAAAAAAAAAABAgqENAAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAAACQY2gAAAAAA\n",
           "AAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAwtRK3wD4Nli7dm15o9frlTe4OleuXClvnDt3rrzR\n",
           "4vm7devW8kZExI4dO8obLV6L49I4ceJEeePgwYPljYiId955p7xx+fLl8gZ5i4uLTToXL14sb3z8\n",
           "8cfljb/+9a/ljXvuuae88dhjj5U3IiLuuuuu8sY333xT3jh58mR5o9/vlzcGg0F5YzgcljciIkaj\n",
           "UZNOtaWlpfLG+fPnyxtHjx4tb7R4HUZEHDlypLzx4x//uLwxOztb3ti5c2d5o9PplDcA+N99/vnn\n",
           "5Y133323vNHiemvPnj3ljYiI733ve0068G3V4tqxxXfN3W63vBHR5lhafA8xPz9f3lhYWChvjMv3\n",
           "HOOkxTmlxeu9xd9G/aINAAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAAACQY2gAAAAAAAAAA\n",
           "QIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAA\n",
           "ACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAAAAAkGNoAAAAAAAAA\n",
           "AECCoQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAA\n",
           "AAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAA\n",
           "AABAwtRK3wCA1eqzzz4rb7zxxhvljXXr1pU35ubmyhsREd1ut0mnWqfTKW/0er3yxq233lre+PTT\n",
           "T8sbERHHjx8vb5w6daq8Qd7y8nKTzmAwKG/Mz8+XN2ZmZsobTzzxRHnjwQcfLG9EtDnPt3DnnXeW\n",
           "N1q8X7V4Hfb7/fJGRJtjGQ6H5Y3RaFTeaGFpaam88e9//7u8ERHxwQcflDdOnjxZ3nj//ffLG48/\n",
           "/nh5o8W5MaLN56txeU8EVocrV66UN/7xj3+UN1pc0/3sZz8rb9x7773ljYiINWv8vzhcC1pdN7a4\n",
           "1h6Xv2O0+H6gxXsiV6fF87fF3xSnp6fLG65QAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAA\n",
           "ACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAA\n",
           "AAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAA\n",
           "AAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAA\n",
           "AAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAA\n",
           "AAAAIMHQBgAAAAAAAAAAEqZW+gYArFYXLlwob3z44YfljUuXLpU3ut1ueSMiotPpNOmMg9FoVN74\n",
           "05/+VN547733yhsREefOnWvS4drT4rXYorF3797yxv3331/e8D5ydVrcX71er7zR4jqlxXFERAwG\n",
           "g/JGv98vb7Q4juFwWN5ocf5t5cqVK+WNs2fPljfefvvt8sY///nP8karc8rc3Fx5Y1zO864hYHX4\n",
           "7LPPyht/+MMfyhst3nfvuOOO8oZzIwC0NS7f1bVorF27trzhF20AAAAAAAAAACDB0AYAAAAAAAAA\n",
           "ABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAA\n",
           "ACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAA\n",
           "AAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAA\n",
           "AAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAA\n",
           "AAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASplb6BgCsVktLS+WNy5cvlzc2bNhQ3picnCxvtLK4\n",
           "uFje+PTTT8sbf/vb38obL7/8cnnjyJEj5Y2IiK+//rpJh5xOp1Pe6Ha75Y1WWpxTDh8+XN7YtWtX\n",
           "eWP37t3ljYjxel8cBy3OKb1er7wR0ebc1eJYBoNBeaPf75c3WhzHcDgsb0REjEajJp1qLY5jnB73\n",
           "FsfS4pwyNzdX3mhxHC3O8S3eE7l2tTgHt/iu4/z58+WN/fv3lzfG6TMvwP+nFu9XCwsL5Y35+fny\n",
           "RqvPJeOixbX27OxseePJJ58sb4zLdYpftAEAAAAAAAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACA\n",
           "BEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAAAAAA\n",
           "SDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAA\n",
           "gARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAA\n",
           "AEgwtAEAAAAAAAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAA\n",
           "AIAEQxsAAAAAAAAAAEiYWukbAPDfGI1G5Y3hcFjeuO6668obDz30UHnj+uuvL29EtHnc33///fLG\n",
           "7373u/LG0aNHyxvHjx8vb7R4zMdJp9Mpb3S73fJGr9crb8zNzZU3Wpmfny9v/OUvfylvvPnmm+WN\n",
           "rVu3ljciIjZv3tykw7WnxXm+xTl4XN5LBoNBeaPf75c3ItocS4vPV+Ny7djqOMblcW9xHONyfdri\n",
           "OCLanOdbvCdydU6fPl3eOHToUHljw4YN5Y2ZmZnyhtcI8G3T6hp4YWGhvPH888+XN1ocx7h8vmr1\n",
           "njg7O1veePrpp8sbLY5jXK5T/KINAAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAAACQY2gAA\n",
           "AAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0A\n",
           "AAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAAAAAkGNoA\n",
           "AAAAAAAAAECCoQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqEN\n",
           "AAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBja\n",
           "AAAAAAAAAABAgqENAAAAAAAAAAAkTK30DQD4bwyHw/JGv98vb1y8eLG8sXfv3vLG+fPnyxsREX/+\n",
           "85/LGwcPHixvHDlypLzx1VdflTeWl5fLG610Op3yRrfbLW/0er3yxtzcXHmjxXG0eDxaafH8ffHF\n",
           "F8sbf/zjH8sbLd4TIyK+//3vlzdaPO5QpcXzd1zeS1ocR0TEYDAob7T4fNXiOFp8Fh2NRuWNVloc\n",
           "y7g87i2Oo9U55cknnyxvzM7OljfG5Xqr1TnlxIkTTTrVfvrTn5Y3tmzZUt4Arh0tzvPjci0UETE/\n",
           "P1/eWFhYKG+My2eGFtdbLa4bIyKefvrp8oZr4NXFL9oAAAAAAAAAAECCoQ0AAAAAAAAAACQY2gAA\n",
           "AAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0A\n",
           "AAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAAAAAkGNoA\n",
           "AAAAAAAAAECCoQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqEN\n",
           "AAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBja\n",
           "AAAAAAAAAABAgqENAAAAAAAAAAAkTK30DQDGy2g0atIZDAZj0ZiYmChvHDt2rLzxwgsvlDci2jwm\n",
           "w+GwvNHqdVKt0+mUN7rdbnkjIqLX65U35ubmyhstjqPFY9LiuTVOZmdnyxuLi4vljWeeeaa88dJL\n",
           "L5U3IiKmpuo/Zj388MPlDa9F+L+1eI20eG+PaPP+3uJYWnxe6Pf75Y0WxxHhs8/VaHEc4/J5N2J8\n",
           "HvcW19kt3ktaPe6vv/56eeP2228vb9x9993ljRafF4DVocV74sLCQnljfn6+vOEa+Oq0+NvSd7/7\n",
           "3fLGAw88UN546qmnyhsR43PtSJ5ftAEAAAAAAAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMb\n",
           "AAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAAAAAASDC0\n",
           "AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARD\n",
           "GwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgw\n",
           "tAEAAAAAAAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAE\n",
           "QxsAAAAAAAAAAEiYWukbALQzGo3KGwsLC+WNiIj5+fnyxnA4LG+08PLLL5c3Pvnkk/JGRJvncAud\n",
           "Tqe80e12yxu9Xq+8MTc3V96IaHMsLR6TFs8tVp8Wj/vMzMxYNN56663yRkTEiy++WN647rrryhu7\n",
           "d+8ub0xOTpY3gP+sxXvJuFxvtTiOwWBQ3oho87m6xXcE4/I5sYVW91Wr74bGwQMPPFDeaPX91saN\n",
           "G8sbP/zhD8sbN954Y3kDWB3G5e8lzz//fHnDNd3VafH5anp6uryxa9eu8saBAwfKG3v27ClvRPhu\n",
           "/lrkF20AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAA\n",
           "AAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAA\n",
           "AAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAA\n",
           "AAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAA\n",
           "AAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAD+p507epGq/v84\n",
           "/t6vM9oWQURZ2u5Y7CpYEJXWmg5RN112U1hqKbS3/SNBXfQHLOUW2F11EXQRETFUmHVRkJZO5CpJ\n",
           "VpsXhti4+rvo9ke8o96f1fHx+Adeczw7M+fMPB0AAICEzmo/AOAvo9GofGMwGJRvLCwslG9EtDmW\n",
           "FuekhaWlpdV+CNeUG264oXzj0UcfLd/Yv39/+cbMzEz5Rq/XK9+IiOh2u0124Fq1cePG8o3du3eX\n",
           "bywvL5dvRER8/fXX5RsffPBB+cb09HT5xh133FG+AVw/WlzTtbgG3rBhQ/lGRJt7xeFwWL7hnvfq\n",
           "My6fcV25cqV8Y5yeI48//nj5xgMPPFC+sWbNmvIN4O+1+lx+XL4v8V3JP9PinqHf75dvHDhwoHxj\n",
           "69at5Rt33nln+UanI4eghl+0AQAAAAAAAACABKENAAAAAAAAAAAkCG0AAAAAAAAAACBBaAMAAAAA\n",
           "AAAAAAlCGwAAAAAAAAAASBDaAAAAAAAAAABAgtAGAAAAAAAAAAAShDYAAAAAAAAAAJAgtAEAAAAA\n",
           "AAAAgAShDQAAAAAAAAAAJAhtAAAAAAAAAAAgQWgDAAAAAAAAAAAJQhsAAAAAAAAAAEgQ2gAAAAAA\n",
           "AAAAQILQBgAAAAAAAAAAEoQ2AAAAAAAAACoZENoAABafSURBVACQILQBAAAAAAAAAIAEoQ0AAAAA\n",
           "AAAAACQIbQAAAAAAAAAAIEFoAwAAAAAAAAAACUIbAAAAAAAAAABIENoAAAAAAAAAAECC0AYAAAAA\n",
           "AAAAABKENgAAAAAAAAAAkNBZ7QcA14LRaFS+MRgMyjcWFhbKN1ocR0Sbc0Jet9ttsnPPPfeUb2zd\n",
           "urV8Y8+ePeUbO3bsKN9odd6B1dfp1N82zM3NlW+0un54/fXXyze++OKL8o0W7yW33npr+Yb3K7h+\n",
           "tHidP336dPnGiRMnyjciIj7++OPyjTNnzpRvcPX53//q/2/n5ORk+cZnn31WvjEcDss3brnllvKN\n",
           "iIi9e/eWb7iug9U3Lt+VRIzP9yXj8l1Jq9f4fr9fvjE/P1++0eI4vO/C3/OLNgAAAAAAAAAAkCC0\n",
           "AQAAAAAAAACABKENAAAAAAAAAAAkCG0AAAAAAAAAACBBaAMAAAAAAAAAAAlCGwAAAAAAAAAASBDa\n",
           "AAAAAAAAAABAgtAGAAAAAAAAAAAShDYAAAAAAAAAAJAgtAEAAAAAAAAAgAShDQAAAAAAAAAAJAht\n",
           "AAAAAAAAAAAgQWgDAAAAAAAAAAAJQhsAAAAAAAAAAEgQ2gAAAAAAAAAAQILQBgAAAAAAAAAAEoQ2\n",
           "AAAAAAAAAACQILQBAAAAAAAAAIAEoQ0AAAAAAAAAACQIbQAAAAAAAAAAIEFoAwAAAAAAAAAACUIb\n",
           "AAAAAAAAAABIENoAAAAAAAAAAECC0AYAAAAAAAAAABI6q/0A4N8ajUblG4PBoHxjYWGhfKPFcbQ4\n",
           "H/wz3W63fKPf75dvREQcOHCgfGPz5s3lG1NTU+UbnY63eODaMk7vV5cuXSrfeOWVV8o3Dh48WL7R\n",
           "4rzv3LmzfKPFcUCllZWV8o2zZ8+Wbxw9erR84+233y7f+O6778o3IiJOnjxZvjExMVG+MTMzU77R\n",
           "4nW+xecpS0tL5RsREZOTk+Ub09PT5Ru//PJL+cbp06fLN9auXVu+EdHm72tcnu9cn8bldX44HJZv\n",
           "LC4ulm9E+L7knxinz2zm5+fLN1oci/crWH1+0QYAAAAAAAAAABKENgAAAAAAAAAAkCC0AQAAAAAA\n",
           "AACABKENAAAAAAAAAAAkCG0AAAAAAAAAACBBaAMAAAAAAAAAAAlCGwAAAAAAAAAASBDaAAAAAAAA\n",
           "AABAgtAGAAAAAAAAAAAShDYAAAAAAAAAAJAgtAEAAAAAAAAAgAShDQAAAAAAAAAAJAhtAAAAAAAA\n",
           "AAAgQWgDAAAAAAAAAAAJQhsAAAAAAAAAAEgQ2gAAAAAAAAAAQILQBgAAAAAAAAAAEoQ2AAAAAAAA\n",
           "AACQILQBAAAAAAAAAIAEoQ0AAAAAAAAAACQIbQAAAAAAAAAAIEFoAwAAAAAAAAAACUIbAAAAAAAA\n",
           "AABIENoAAAAAAAAAAECC0AYAAAAAAAAAABI6q/0AGG+j0ah8YzAYlG8sLCyUb7Q4jhbnY5x0u93y\n",
           "jenp6fKN2dnZ8o39+/eXb0RE9Pv98o0W5x2A1dHqNX7Lli1jsfHRRx+Vbxw8eLB8Y3Jysnxj27Zt\n",
           "5RsREWvWrGmyw9Wj1T3cV199Vb7x/vvvl28cPny4fOP7778v37h8+XL5RkTEpk2byjc2b95cvvHc\n",
           "c8+Vb0xNTZVv/PDDD+Ubr776avlGRMTx48fLN86dO1e+sXXr1vKN9evXl2+cOnWqfCMiYnFxsXyj\n",
           "xfW8z56uT+PyPUaL5+FwOCzfWFpaKt+IaHPeJyYmyjda3PPOzc2Vb8zPz5dvRHidB/47ftEGAAAA\n",
           "AAAAAAAShDYAAAAAAAAAAJAgtAEAAAAAAAAAgAShDQAAAAAAAAAAJAhtAAAAAAAAAAAgQWgDAAAA\n",
           "AAAAAAAJQhsAAAAAAAAAAEgQ2gAAAAAAAAAAQILQBgAAAAAAAAAAEoQ2AAAAAAAAAACQILQBAAAA\n",
           "AAAAAIAEoQ0AAAAAAAAAACQIbQAAAAAAAAAAIEFoAwAAAAAAAAAACUIbAAAAAAAAAABIENoAAAAA\n",
           "AAAAAECC0AYAAAAAAAAAABKENgAAAAAAAAAAkCC0AQAAAAAAAACABKENAAAAAAAAAAAkCG0AAAAA\n",
           "AAAAACBBaAMAAAAAAAAAAAlCGwAAAAAAAAAASBDaAAAAAAAAAABAQme1HwCrYzQaNdkZDAblGwsL\n",
           "C+UbLY6j1TkZF91ut3xj165d5Rv79+8v35idnS3f6PV65RsRbc47APxbd911V/nGs88+W75x7ty5\n",
           "8o0vv/yyfOO9994r35iamirfiIjYuHFjk51x0OL+amlpqXxjOByWb0REvPnmm+UbR44cKd+4ePFi\n",
           "+UaL5/vMzEz5RkTE3r17yzda3I+2OCct7kVvuumm8o3777+/fCOizetjp1P/sfaTTz5ZvtHi7/fd\n",
           "d98t34iI+OSTT8o3WnwO3EK/3y/fGKfP0Fpc1/keI2+cvsdo8V4yPT1dvvHQQw+Vb+zevbt8Y25u\n",
           "rnwjYrxeH4HV5RdtAAAAAAAAAAAgQWgDAAAAAAAAAAAJQhsAAAAAAAAAAEgQ2gAAAAAAAAAAQILQ\n",
           "BgAAAAAAAAAAEoQ2AAAAAAAAAACQILQBAAAAAAAAAIAEoQ0AAAAAAAAAACQIbQAAAAAAAAAAIEFo\n",
           "AwAAAAAAAAAACUIbAAAAAAAAAABIENoAAAAAAAAAAECC0AYAAAAAAAAAABKENgAAAAAAAAAAkCC0\n",
           "AQAAAAAAAACABKENAAAAAAAAAAAkCG0AAAAAAAAAACBBaAMAAAAAAAAAAAlCGwAAAAAAAAAASBDa\n",
           "AAAAAAAAAABAgtAGAAAAAAAAAAAShDYAAAAAAAAAAJAgtAEAAAAAAAAAgAShDQAAAAAAAAAAJHRW\n",
           "+wFca0ajUfnG0tJS+cZwOCzfiIhYXFws3xgMBuUbLc77uOh2u012+v1++cb8/Hz5RovjaHVOAIC/\n",
           "dDr1t1lzc3PlGxcuXCjfePnll8s3jhw5Ur7x7bfflm9ERNx+++1NdqqNyz3voUOHyjda3bufOXOm\n",
           "fGPDhg3lGzMzM+Ube/bsKd9ocRwREb1er3zD/Whei+fIM888U74REfHrr7+Wb3z++eflGx9++GH5\n",
           "xr59+8o3nnjiifKNiIiVlZXyjRMnTpRvHDx4sHyjhRb3C2fPni3fiIg4fvx4+UaL8+57jLxW1w8P\n",
           "P/xw+cbTTz9dvrF9+/byjbvvvrt8o8VnKQD/Jb9oAwAAAAAAAAAACUIbAAAAAAAAAABIENoAAAAA\n",
           "AAAAAECC0AYAAAAAAAAAABKENgAAAAAAAAAAkCC0AQAAAAAAAACABKENAAAAAAAAAAAkCG0AAAAA\n",
           "AAAAACBBaAMAAAAAAAAAAAlCGwAAAAAAAAAASBDaAAAAAAAAAABAgtAGAAAAAAAAAAAShDYAAAAA\n",
           "AAAAAJAgtAEAAAAAAAAAgAShDQAAAAAAAAAAJAhtAAAAAAAAAAAgQWgDAAAAAAAAAAAJQhsAAAAA\n",
           "AAAAAEgQ2gAAAAAAAAAAQILQBgAAAAAAAAAAEoQ2AAAAAAAAAACQILQBAAAAAAAAAIAEoQ0AAAAA\n",
           "AAAAACQIbQAAAAAAAAAAIKGz2g/gvzQajco3BoNB+cbi4mL5xnA4LN+IiFhaWirfaHHex0W32y3f\n",
           "6Pf75RsREfPz8+UbLY6lxTkBAP7S6rpxXK6Br1y5Ur4xOTlZvnHs2LHyjTfeeKN8IyLi8uXLTXaq\n",
           "HTp0qHyjxT3vqVOnyjfWrVtXvhERsWPHjvKNF154oXxjZmamfKPX65VvuE+8PnU69R/TPvLII+Ub\n",
           "ERF//PFH+cbJkyfLN1p8Dnz27Nnyje3bt5dvRETs27evfOO3334r33jttdfKNxYWFso3fvzxx/KN\n",
           "w4cPl29ERBw9erR8o8W/17h8jzFO3zG8+OKL5Rtzc3PlGzfeeGP5xsTERPkGwLXGL9oAAAAAAAAA\n",
           "AECC0AYAAAAAAAAAABKENgAAAAAAAAAAkCC0AQAAAAAAAACABKENAAAAAAAAAAAkCG0AAAAAAAAA\n",
           "ACBBaAMAAAAAAAAAAAlCGwAAAAAAAAAASBDaAAAAAAAAAABAgtAGAAAAAAAAAAAShDYAAAAAAAAA\n",
           "AJAgtAEAAAAAAAAAgAShDQAAAAAAAAAAJAhtAAAAAAAAAAAgQWgDAAAAAAAAAAAJQhsAAAAAAAAA\n",
           "AEgQ2gAAAAAAAAAAQILQBgAAAAAAAAAAEoQ2AAAAAAAAAACQILQBAAAAAAAAAIAEoQ0AAAAAAAAA\n",
           "ACQIbQAAAAAAAAAAIEFoAwAAAAAAAAAACUIbAAAAAAAAAABI6Pz5559Nhk6dOlW+MRwOyzcWFxfL\n",
           "NwaDQfnGaDQq3+Dqs2HDhvKNXbt2lW9ERNx2223lGy1eUwCAdpaWlprsHDp0qHyjxbFcunSpfOOn\n",
           "n34q37hw4UL5Rot7uIh2f8PVxuU4tmzZUr6xffv28o2IiKeeeqp8Y9u2beUb3W63fGOcrKyslG8s\n",
           "Ly+Xb5w/f758o8V7Yovz0cq4fO7Y4jiOHTtWvtHpdMo3IiIee+yx8o01a9aUb7R4Lra4dmzxuebP\n",
           "P/9cvhERcfHixSY746DFtVC/3y/fmJ+fL9+IaHMsrk8BxpdftAEAAAAAAAAAgAShDQAAAAAAAAAA\n",
           "JAhtAAAAAAAAAAAgQWgDAAAAAAAAAAAJQhsAAAAAAAAAAEgQ2gAAAAAAAAAAQILQBgAAAAAAAAAA\n",
           "EoQ2AAAAAAAAAACQILQBAAAAAAAAAIAEoQ0AAAAAAAAAACQIbQAAAAAAAAAAIEFoAwAAAAAAAAAA\n",
           "CUIbAAAAAAAAAABIENoAAAAAAAAAAECC0AYAAAAAAAAAABKENgAAAAAAAAAAkCC0AQAAAAAAAACA\n",
           "BKENAAAAAAAAAAAkCG0AAAAAAAAAACBBaAMAAAAAAAAAAAlCGwAAAAAAAAAASBDaAAAAAAAAAABA\n",
           "gtAGAAAAAAAAAAAShDYAAAAAAAAAAJAw8dZbb11pMfTOO++UbwyHw/KNpaWl8o3RaFS+wfWp2+2W\n",
           "b/R6vfKNiDbHAgCMl1bX2e4ZYPW1uC/Zt29f+ca9995bvhERsX79+vKNTqdTvsE/8/vvv5dvfPrp\n",
           "p+Ub33zzTfnG8vJy+caFCxfKNy5fvly+EdHmOsX1Vt66deua7ExPT5dvXLlS/1WGvy2qtPg8u9/v\n",
           "l2/Mz8+Xb7Q4jgjfMQDw7/hFGwAAAAAAAAAASBDaAAAAAAAAAABAgtAGAAAAAAAAAAAShDYAAAAA\n",
           "AAAAAJAgtAEAAAAAAAAAgAShDQAAAAAAAAAAJAhtAAAAAAAAAAAgQWgDAAAAAAAAAAAJQhsAAAAA\n",
           "AAAAAEgQ2gAAAAAAAAAAQILQBgAAAAAAAAAAEoQ2AAAAAAAAAACQILQBAAAAAAAAAIAEoQ0AAAAA\n",
           "AAAAACQIbQAAAAAAAAAAIEFoAwAAAAAAAAAACUIbAAAAAAAAAABIENoAAAAAAAAAAECC0AYAAAAA\n",
           "AAAAABKENgAAAAAAAAAAkCC0AQAAAAAAAACABKENAAAAAAAAAAAkCG0AAAAAAAAAACBBaAMAAAAA\n",
           "AAAAAAlCGwAAAAAAAAAASJh48MEHr7QYOnnyZPnGaDQq3wAAAACubt1ut3yj1+uVb7Q4Dq5fKysr\n",
           "5RvLy8vlG+fPny/fuHTpUvlGi/MBwP9v7dq15Ru7du0q35ifny/f6Pf75RuugQG4FvhFGwAAAAAA\n",
           "AAAASBDaAAAAAAAAAABAgtAGAAAAAAAAAAAShDYAAAAAAAAAAJAgtAEAAAAAAAAAgAShDQAAAAAA\n",
           "AAAAJAhtAAAAAAAAAAAgQWgDAAAAAAAAAAAJQhsAAAAAAAAAAEgQ2gAAAAAAAAAAQILQBgAAAAAA\n",
           "AAAAEoQ2AAAAAAAAAACQILQBAAAAAAAAAIAEoQ0AAAAAAAAAACQIbQAAAAAAAAAAIEFoAwAAAAAA\n",
           "AAAACUIbAAAAAAAAAABIENoAAAAAAAAAAECC0AYAAAAAAAAAABKENgAAAAAAAAAAkCC0AQAAAAAA\n",
           "AACABKENAAAAAAAAAAAkCG0AAAAAAAAAACBBaAMAAAAAAAAAAAkTN99885XVfhAAAAAAAABcG7rd\n",
           "bpOdTZs2lW9s2bKlfOP5558v39i5c2f5RqvzDgBXO79oAwAAAAAAAAAACUIbAAAAAAAAAABIENoA\n",
           "AAAAAAAAAECC0AYAAAAAAAAAABKENgAAAAAAAAAAkCC0AQAAAAAAAACABKENAAAAAAAAAAAkCG0A\n",
           "AAAAAAAAACBBaAMAAAAAAAAAAAlCGwAAAAAAAAAASBDaAAAAAAAAAABAgtAGAAAAAAAAAAAShDYA\n",
           "AAAAAAAAAJAgtAEAAAAAAAAAgAShDQAAAAAAAAAAJAhtAAAAAAAAAAAgQWgDAAAAAAAAAAAJQhsA\n",
           "AAAAAAAAAEgQ2gAAAAAAAAAAQILQBgAAAAAAAAAAEoQ2AAAAAAAAAACQILQBAAAAAAAAAIAEoQ0A\n",
           "AAAAAAAAACQIbQAAAAAAAAAAIKGz2g8AAAAAAADgetDtdss3er1e+cbMzEz5RkTE3r17yzdmZ2fL\n",
           "N6ampso3WvxtAQB/8Ys2AAAAAAAAAACQILQBAAAAAAAAAIAEoQ0AAAAAAAAAACQIbQAAAAAAAAAA\n",
           "IEFoAwAAAAAAAAAACUIbAAAAAAAAAABIENoAAAAAAAAAAECC0AYAAAAAAAAAABKENgAAAAAAAAAA\n",
           "kCC0AQAAAAAAAACABKENAAAAAAAAAAAkCG0AAAAAAAAAACBBaAMAAAAAAAAAAAlCGwAAAAAAAAAA\n",
           "SBDaAAAAAAAAAABAgtAGAAAAAAAAAAAShDYAAAAAAAAAAJAgtAEAAAAAAAAAgAShDQAAAAAAAAAA\n",
           "JAhtAAAAAAAAAAAgQWgDAAAAAAAAAAAJQhsAAAAAAAAAAEgQ2gAAAAAAAAAAQILQBgAAAAAAAAAA\n",
           "Ejqr/QAAAAAAAAD+TrfbLd/o9XrlGzMzM+Ube/bsKd9ocRwRbc5Ji78tAGC8+EUbAAAAAAAAAABI\n",
           "ENoAAAAAAAAAAECC0AYAAAAAAAAAABKENgAAAAAAAAAAkCC0AQAAAAAAAACABKENAAAAAAAAAAAk\n",
           "CG0AAAAAAAAAACBBaAMAAAAAAAAAAAlCGwAAAAAAAAAASBDaAAAAAAAAAABAgtAGAAAAAAAAAAAS\n",
           "hDYAAAAAAAAAAJAgtAEAAAAAAAAAgAShDQAAAAAAAAAAJAhtAAAAAAAAAAAgQWgDAAAAAAAAAAAJ\n",
           "QhsAAAAAAAAAAEgQ2gAAAAAAAAAAQILQBgAAAAAAAAAAEoQ2AAAAAAAAAACQILQBAAAAAAAAAIAE\n",
           "oQ0AAAAAAAAAACQIbQAAAAAAAAAAIEFoAwAAAAAAAAAACZ3VfgAAAAAAAAB/Z9OmTeUbL730UvnG\n",
           "fffdV74xOztbvrF27dryDQCAq5VftAEAAAAAAAAAgAShDQAAAAAAAAAAJAhtAAAAAAAAAAAgQWgD\n",
           "AAAAAAAAAAAJQhsAAAAAAAAAAEgQ2gAAAAAAAAAAQILQBgAAAAAAAAAAEoQ2AAAAAAAAAACQILQB\n",
           "AAAAAAAAAIAEoQ0AAAAAAAAAACQIbQAAAAAAAAAAIEFoAwAAAAAAAAAACUIbAAAAAAAAAABIENoA\n",
           "AAAAAAAAAECC0AYAAAAAAAAAABKENgAAAAAAAAAAkCC0AQAAAAAAAACABKENAAAAAAAAAAAkCG0A\n",
           "AAAAAAAAACBBaAMAAAAAAAAAAAlCGwAAAAAAAAAASBDaAAAAAAAAAABAgtAGAAAAAAAAAAAShDYA\n",
           "AAAAAAAAAJDwfxEvXDm/mE4sAAAAAElFTkSuQmCC\n",
           "\" transform=\"translate(87, 406)\"/>\n",
           "</g>\n",
           "</svg>\n"
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:121 Obj:187.90586453078646 Vol:0.5000146669245009 ch:0.015384819171545744 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:122 Obj:187.90511413933126 Vol:0.5000117779428754 ch:0.015432140365699926 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:123 Obj:187.905112380865 Vol:0.5000094540591118 ch:0.02009695285468091 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:124 Obj:187.90551871941116 Vol:0.5000088548707875 ch:0.02646620389131628 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:125 Obj:187.90602769900192 Vol:0.5000112505486267 ch:0.03544754520460949 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:126 Obj:187.906232215712 Vol:0.5000184288109919 ch:0.048754351137891117 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:127 Obj:187.90530673493163 Vol:0.4999928499044784 ch:0.06927706574289888 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:128 Obj:187.9135823311878 Vol:0.49999959842683894 ch:0.1043928496651137 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:129 Obj:187.9070327596331 Vol:0.49999458397293917 ch:0.1638485756346469 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:130 Obj:187.89238641724538 Vol:0.4999855551363652 ch:0.19999999999999996 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "image/svg+xml": [
           "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
           "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
           "<defs>\n",
           "  <clipPath id=\"clip1600\">\n",
           "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
           "  </clipPath>\n",
           "</defs>\n",
           "<path clip-path=\"url(#clip1600)\" d=\"\n",
           "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
           "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
           "<defs>\n",
           "  <clipPath id=\"clip1601\">\n",
           "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
           "  </clipPath>\n",
           "</defs>\n",
           "<path clip-path=\"url(#clip1600)\" d=\"\n",
           "M86.9921 1521.01 L2352.76 1521.01 L2352.76 47.2441 L86.9921 47.2441  Z\n",
           "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
           "<defs>\n",
           "  <clipPath id=\"clip1602\">\n",
           "    <rect x=\"86\" y=\"47\" width=\"2267\" height=\"1475\"/>\n",
           "  </clipPath>\n",
           "</defs>\n",
           "<polyline clip-path=\"url(#clip1600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
           "  86.9921,1521.01 2352.76,1521.01 \n",
           "  \"/>\n",
           "<polyline clip-path=\"url(#clip1600)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
           "  86.9921,1521.01 86.9921,47.2441 \n",
           "  \"/>\n",
           "<g clip-path=\"url(#clip1602)\">\n",
           "<image width=\"2266\" height=\"755\" xlink:href=\"data:image/png;base64,\n",
           "iVBORw0KGgoAAAANSUhEUgAACNoAAALzCAYAAADN4vhJAAAgAElEQVR4nOzcwY/U9f3H8ffuzgAh\n",
           "4pZiVBRGZbaA9EBNi0q6F5Mmkph60Jpma+qhHHrquX+DB/0P1Lo1mfTSxKS1JJ6qq5GYVIk1asJQ\n",
           "GRoFCSmhq6Kz7PTwu/7y65v29/7sOjwe/8BzvszMd77z3Rczs2PHjkkAAAAAAAAAbKDZ2dkmnZmZ\n",
           "mfLGZFL/J9gW/14t/q1aNCKm599rWl5be/fuLW9s27atvBERsba2Vt44d+5ceeOf//xneaPF67eF\n",
           "Np9WAAAAAAAAAADwDWdoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAA\n",
           "AJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAA\n",
           "AAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAA\n",
           "AACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAA\n",
           "AAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAA\n",
           "AAAAkNDZ6AcAAAAAAAAAbG6zs/X/f3/79u3ljYiIu+++u7zR7XbLG3Nzc+WNTqf+z8ktGhHT85xc\n",
           "u3atvDE/P1/eOHbsWHmjxXs9IuLixYvljZdffrm8ceLEifLG6upqeaMFv2gDAAAAAAAAAAAJhjYA\n",
           "AAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgD\n",
           "AAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2\n",
           "AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBo\n",
           "AwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmG\n",
           "NgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQ0NnoBwAAAMCNaXa2/v9+zM/PlzduueWW\n",
           "8kZExNzcXJMOAAD8O+PxuElnNBqVN9bW1sob3W63vNHiOVlfXy9vtPp+9eijj5Y39u3bV9646667\n",
           "yhtbt24tb8zMzJQ3WnVaNCaTSXmjxT2b2267rbzR4vUb0eazpMV9oXfffbe8cfr06fJGC37RBgAA\n",
           "AAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAA\n",
           "AAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYA\n",
           "AAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0A\n",
           "AAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAG\n",
           "AAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIKGz0Q8AAACAG9P27dvL\n",
           "G9///vfLG4888kh5IyLi0KFD5Y1Ox20CAAD+veFw2KTz7LPPljdmZmbKGzt37ixvrK6uljc+//zz\n",
           "8sann35a3oiI+N3vflfe6Pf75Y2f/exn5Y2FhYXyxp49e8obERHdbrdJByp89dVX5Y3JZFLemBZ+\n",
           "0QYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAAS\n",
           "DG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAg\n",
           "wdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAA\n",
           "EgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAA\n",
           "IMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACChs9EPAAAAgBvT\n",
           "F198Ud7461//Wt7YtWtXeSMiYvfu3eWNhYWF8satt95a3pibmytvAABsVuPxuLzx97//vbwREXHw\n",
           "4MHyxo9//OPyxv79+8sbLZ73s2fPljcGg0F5IyJiOByWN1ZWVsobZ86cKW+0eP3+9Kc/LW9EtPnO\n",
           "u2fPnvJGp+NP/JvNaDQqb7Q4P7Y4jmnhF20AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAA\n",
           "IMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAA\n",
           "ABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAA\n",
           "ACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAA\n",
           "AAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAA\n",
           "AAAgwdAGAAAAAAAAAAASOocOHWoSWl9fb9LhxrO2tlbeuHDhQnljdXW1vDGZTMobAACQ1eJ7Yotr\n",
           "+T/+8Y/ljYiIDz74oLxx5MiR8saxY8fKG/1+v7xxyy23lDfm5ubKGwDA9BmNRuWNP/zhD+WNiIjd\n",
           "u3eXNw4fPlzeaHEcLezbt6+80eJaPiJiOByWNwaDQXmjxXH8+c9/Lm+cPn26vBERcfDgwfLGE088\n",
           "Ud5o8T658847yxudTqe8MR6PyxsRbd6LLRot/r263W5546677ipv+EUbAAAAAAAAAABIMLQBAAAA\n",
           "AAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAA\n",
           "AAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAAAAAASDC0AQAA\n",
           "AAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARDGwAA\n",
           "AAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEA\n",
           "AAAAAAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACAhJm33npr0iI0O2vTQ43PPvusvPHKK6+UN957\n",
           "773yxtWrV8sbXJ/xeFzeGI1G5Y1Wer1eeaPb7ZY3puV5b3EcUGVmZqZJZ/v27eWN3bt3lzcmk/qv\n",
           "DC3OW2tra+WNiIht27aVN1pc17V43rk+Lc5dN998c3njnnvuKW8cPXq0vPGjH/2ovNHv98sbERG7\n",
           "du0qb7gvBAD/o8X9lNdee628ceLEifJGRMTjjz9e3jhy5Eh5Y25urrzB9ZmWe7TD4bC8MRgMyhst\n",
           "jiOizd8U77jjjvLGd7/73fLGY489Vt5o8W919uzZ8kZExPLycnljZWWlvNHi3NjiXsevfvWr8oa7\n",
           "HAAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBg\n",
           "aAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJ\n",
           "hjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQ\n",
           "YGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAA\n",
           "CYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAA\n",
           "kDBz5cqVyUY/CPhvrK2tlTcuXLhQ3lhdXS1vTCbe7pvNcDgsbzz99NPljVZ+/etflzf6/X55YzQa\n",
           "lTcGg0F5o8Xr99y5c+WNiIivv/66SYfNo9vtNukcPny4vPHLX/6yvPHJJ5+UN1566aXyxtatW8sb\n",
           "ERG33357eePSpUvljStXrpQ3Wnwmjsfj8gbXZ3a2/v/8zM/Plzf27dtX3lhcXCxvREQ89NBD5Y3v\n",
           "fOc75Y2bb765vNHi9QvAxllfXy9vnDp1qrzR4r7Q/v37yxsREY8//nh5Y+fOneUNqNLiO2+L7+4t\n",
           "7jVHTM9984sXL5Y3br311vLGli1byhut7v2fPXu2vDEt97gOHjxY3njmmWfKG+4OAAAAAAAAAABA\n",
           "gqENAAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAA\n",
           "JBjaAAAAAAAAAABAgqENAAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAAACQY2gAAAAAAAAAA\n",
           "QIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAA\n",
           "ACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAAAAAkGNoAAAAAAAAA\n",
           "AECCoQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJHQ2+gHAf6vTqX8Z33nnneUNNp9r\n",
           "166VNy5evFje2LJlS3lj79695Y2IiIMHD5Y3+v2+RtKZM2fKGy+99FJ5IyLitddeK298/fXX5Q3y\n",
           "1tbWmnRWV1fLG5988kl547333itvHDp0qLzxk5/8pLwREbGwsFDeuHr1annj448/Lm8MBoPyxnA4\n",
           "LG+MRqPyRkTEeDxu0qm2vr5e3vjHP/5R3njnnXfKGy3ehxERJ0+eLG88/PDD5Y0HH3ywvHHvvfeW\n",
           "N7rdbnkDgP9di2uIN998s7zR4r7m/fffX96IiJifn2/SgW+qFteOLe4193q98kZEm2NpcR9ieXm5\n",
           "vLGyslLeaHGPdjKZlDemSYtzSov3e4u/jfpFGwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAA\n",
           "AABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAAAAAASDC0AQAAAAAA\n",
           "AACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAA\n",
           "AAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAA\n",
           "AAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAA\n",
           "AAAAAEgwtAEAAAAAAAAAgITORj8AgM3qwoUL5Y0TJ06UN7Zt21beWFpaKm9ERPR6vSadat1ut7zR\n",
           "7/fLG3fccUd54/z58+WNiIjTp0+XNz7++OPyBnmTyaRJZzgcljeWl5fLGwcOHChv/PznPy9vHD16\n",
           "tLwR0eY838I999xT3mjxedXifTgYDMobEW2OZTQalTfG43F5o4X19fXyxqVLl8obERGXL18ub7S4\n",
           "FnrjjTfKG08++WR5o8W5MaLN96tp+UwENodr166VNz766KPyRotrukceeaS8ce+995Y3IiJmZ/1/\n",
           "cbgRtLpubHGtPS1/x2hxf6DFZyLXp8Xrt8XfFBcWFsobrlAAAAAAAAAAACDB0AYAAAAAAAAAABIM\n",
           "bQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB\n",
           "0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAAS\n",
           "DG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAg\n",
           "wdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAA\n",
           "EgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASOhv9AAA2q9XV1fLGqVOnyhtXr14tb/R6vfJGRES3223S\n",
           "mQbj8bi88Ze//KW88dZbb5U3IiI+++yzJh1uPC3eiy0aDz74YHnjBz/4QXnD58j1afHv1e/3yxst\n",
           "rlNaHEdExHA4LG8MBoPyRovjGI1G5Y0W599Wrl27Vt44f/58eePSpUvljb/97W/ljVbnlKWlpfLG\n",
           "tJznXUPA5nDhwoXyxquvvlreaPG5e/fdd5c3nBsBoK1puVfXorFly5byhl+0AQAAAAAAAACABEMb\n",
           "AAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAAAAAASDC0\n",
           "AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARD\n",
           "GwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgw\n",
           "tAEAAAAAAAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAE\n",
           "QxsAAAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAAAAAASOhs9AMA2KzW19fLG1999VV5Y8eOHeWN\n",
           "ubm58kYra2tr5Y3z58+XNz744IPyxosvvljeOHnyZHkjIuLLL79s0iGn2+2WN3q9XnmjlRbnlNdf\n",
           "f728cfjw4fLGfffdV96ImK7PxWnQ4pzS7/fLGxFtzl0tjmU4HJY3BoNBeaPFcYxGo/JGRMR4PG7S\n",
           "qdbiOKbpeW9xLC3OKUtLS+WNFsfR4hzf4jORG1eLc/CHH35Y3rh8+XJ549FHHy1vTNN3XoD/Ty0+\n",
           "r1ZWVsoby8vL5Y1W30umRYtr7cXFxfLGU089Vd6YlusUv2gDAAAAAAAAAAAJhjYAAAAAAAAAAJBg\n",
           "aAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJ\n",
           "hjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQ\n",
           "YGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAA\n",
           "CYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAA\n",
           "kGBoAwAAAAAAAAAACYY2AAAAAAAAAACQ0NnoBwDwnxiPx+WN0WhU3rjpppvKG0ePHi1vfOtb3ypv\n",
           "RLR53t9+++3yxu9///vyxrvvvlveOH36dHmjxXM+Tbrdbnmj1+uVN/r9fnljaWmpvNHK8vJyeePU\n",
           "qVPljT/96U/ljb1795Y3IiJuu+22Jh1uPC3O8y3OwdPyWTIcDssbg8GgvBHR5lhafL+almvHVscx\n",
           "Lc97i+OYluvTFscR0eY83+Izketz7ty58sbLL79c3tixY0d548CBA+UN7xHgm6bVNfDKykp547nn\n",
           "nitvtDiOafl+1eozcXFxsbxx/Pjx8kaL45iW6xS/aAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAA\n",
           "AAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAA\n",
           "AAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMA\n",
           "AAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYA\n",
           "AAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgD\n",
           "AAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmdjX4AAP+J0WhU3hgMBuWNzz//vLxx9OjR\n",
           "8sbly5fLGxER77zzTnnjt7/9bXnj5MmT5Y0vvviivDGZTMobrXS73fJGr9crb/T7/fLG0tJSeaPF\n",
           "cbR4Plpp8fp94YUXyhtvv/12eaPFZ2JExLe//e3yRovnHaq0eP1Oy2dJi+OIiBgOh+WNFt+vWhxH\n",
           "i++i4/G4vNFKi2OZlue9xXG0Oqc89dRT5Y3FxcXyxrRcb7U6p5w5c6ZJp9qxY8fKG7fffnt5A7hx\n",
           "tDjPT8u1UETE8vJyeWNlZaW8MS3fGVpcb7W4boyIOH78eHnDNfDm4hdtAAAAAAAAAAAgwdAGAAAA\n",
           "AAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAA\n",
           "AAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAA\n",
           "AAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAA\n",
           "AAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYA\n",
           "AAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEjob/QCA6TIej5t0hsPhVDRmZmbKG++//355\n",
           "4/nnny9vRLR5TkajUXmj1fukWrfbLW/0er3yRkREv98vbywtLZU3WhxHi+ekxWtrmiwuLpY31tbW\n",
           "yhvPPPNMeeM3v/lNeSMiotOp/5r1wx/+sLzhvQj/txbvkRaf7RFtPt9bHEuL7wuDwaC80eI4Inz3\n",
           "uR4tjmNavu9GTM/z3uI6u8VnSavn/ZVXXilv7Nmzp7yxf//+8kaL7wvA5tDiM3FlZaW8sby8XN5w\n",
           "DXx9Wvxtafv27eWNBx54oLzxi1/8orwRMT3XjuT5RRsAAAAAAAAAAEgwtAEAAAAAAAAAgARDGwAA\n",
           "AAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEA\n",
           "AAAAAAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsA\n",
           "AAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQB\n",
           "AAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMb\n",
           "AAAAAAAAAABIMLQBAAAAAAAAAICEzkY/AKCd8Xhc3lhZWSlvREQsLy+XN0ajUXmjhRdffLG88emn\n",
           "n5Y3Itq8hlvodrvljV6vV97o9/vljaWlpfJGRJtjafGctHhtsfm0eN4PHDgwFY1XX321vBER8cIL\n",
           "L5Q3brrppvLGfffdV96Ym5srbwD/XovPkmm53mpxHMPhsLwR0eZ7dYt7BNPyPbGFVv9Wre4NTYMH\n",
           "HnigvNHq/tb8/Hx546GHHipv7Nq1q7wBbA7T8veS5557rrzhmu76tPh+tbCwUN743ve+V9547LHH\n",
           "yhtHjhwpb0S4N38j8os2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAA\n",
           "AAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAA\n",
           "AJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAA\n",
           "AAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAA\n",
           "AACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAPCv\n",
           "du7vRar6j+P4Z7/OUUuCCMO0dcxGtrJIwvLHOhBCt91lpUvuxdz2jwTVf7CUa2B30UXQRUHECGI/\n",
           "Lgoy1AkdJUvSvDAsR3e/F15+v8Rb6v0ZHR+Pf+A1x7M7e86cpwMAAAAAAa1xvwDgltFolL7R7/fT\n",
           "NxYWFtI3SqlzLDXOSQ3D4XDcL+Gusnr16vSN3bt3p28cPHgwfaPT6aRvtNvt9I1SSmmapsoO3K02\n",
           "bNiQvrFv3770jUuXLqVvlFLKd999l77x6aefpm9s3LgxfWPdunXpG8C9o8Y1XY1r4PXr16dvlFLn\n",
           "XnEwGKRvuOe980zKZ1zLy8vpG5P0O7J37970jW3btqVvrFixIn0D+Hu1PpeflOclnpXcnhr3DN1u\n",
           "N31jfn4+feOpp55K33jkkUfSN1otOQQ5fKMNAAAAAAAAAAAECG0AAAAAAAAAACBAaAMAAAAAAAAA\n",
           "AAFCGwAAAAAAAAAACBDaAAAAAAAAAABAgNAGAAAAAAAAAAAChDYAAAAAAAAAABAgtAEAAAAAAAAA\n",
           "gAChDQAAAAAAAAAABAhtAAAAAAAAAAAgQGgDAAAAAAAAAAABQhsAAAAAAAAAAAgQ2gAAAAAAAAAA\n",
           "QIDQBgAAAAAAAAAAAoQ2AAAAAAAAAAAQIITgeqMAABaeSURBVLQBAAAAAAAAAIAAoQ0AAAAAAAAA\n",
           "AAQIbQAAAAAAAAAAIEBoAwAAAAAAAAAAAUIbAAAAAAAAAAAIENoAAAAAAAAAAECA0AYAAAAAAAAA\n",
           "AAKENgAAAAAAAAAAECC0AQAAAAAAAACAgNa4XwDcDUajUfpGv99P31hYWEjfqHEcpdQ5J8Q1TVNl\n",
           "Z/PmzekbW7duTd94/fXX0zd27dqVvlHrvAPj12rl3zbs3LkzfaPW9cN7772XvvHVV1+lb9T4W/LQ\n",
           "Qw+lb/h7BfeOGu/z58+fT984ffp0+kYppXzxxRfpGxcuXEjf4M7zn//k/9/ONWvWpG8cO3YsfWMw\n",
           "GKRvPPjgg+kbpZRy4MCB9A3XdTB+k/KspJTJeV4yKc9Kar3Hd7vd9I1er5e+UeM4/N2Fv+cbbQAA\n",
           "AAAAAAAAIEBoAwAAAAAAAAAAAUIbAAAAAAAAAAAIENoAAAAAAAAAAECA0AYAAAAAAAAAAAKENgAA\n",
           "AAAAAAAAECC0AQAAAAAAAACAAKENAAAAAAAAAAAECG0AAAAAAAAAACBAaAMAAAAAAAAAAAFCGwAA\n",
           "AAAAAAAACBDaAAAAAAAAAABAgNAGAAAAAAAAAAAChDYAAAAAAAAAABAgtAEAAAAAAAAAgAChDQAA\n",
           "AAAAAAAABAhtAAAAAAAAAAAgQGgDAAAAAAAAAAABQhsAAAAAAAAAAAgQ2gAAAAAAAAAAQIDQBgAA\n",
           "AAAAAAAAAoQ2AAAAAAAAAAAQILQBAAAAAAAAAIAAoQ0AAAAAAAAAAAS0xv0C4J8ajUbpG/1+P31j\n",
           "YWEhfaPGcdQ4H9yepmnSN7rdbvpGKaXMz8+nb8zMzKRvPProo+kbrZY/8cDdZZL+Xt24cSN94+23\n",
           "307fOHToUPpGjfM+OzubvlHjOCDTzZs30zcuXryYvnHixIn0jQ8//DB94+TJk+kbpZRy5syZ9I2p\n",
           "qan0jU6nk75R432+xucpw+EwfaOUUtasWZO+sXnz5vSNX375JX3j/Pnz6RsrV65M3yilzs/XpPy+\n",
           "c2+alPf5wWCQvrG4uJi+UYrnJbdjkj6z6fV66Rs1jsXfKxg/32gDAAAAAAAAAAABQhsAAAAAAAAA\n",
           "AAgQ2gAAAAAAAAAAQIDQBgAAAAAAAAAAAoQ2AAAAAAAAAAAQILQBAAAAAAAAAIAAoQ0AAAAAAAAA\n",
           "AAQIbQAAAAAAAAAAIEBoAwAAAAAAAAAAAUIbAAAAAAAAAAAIENoAAAAAAAAAAECA0AYAAAAAAAAA\n",
           "AAKENgAAAAAAAAAAECC0AQAAAAAAAACAAKENAAAAAAAAAAAECG0AAAAAAAAAACBAaAMAAAAAAAAA\n",
           "AAFCGwAAAAAAAAAACBDaAAAAAAAAAABAgNAGAAAAAAAAAAAChDYAAAAAAAAAABAgtAEAAAAAAAAA\n",
           "gAChDQAAAAAAAAAABAhtAAAAAAAAAAAgQGgDAAAAAAAAAAABrXG/ACbbaDRK3+j3++kbCwsL6Rs1\n",
           "jqPG+ZgkTdOkb7Tb7fSNTqeTvnHw4MH0jVJK6Xa76Rs1zjsA41HrPf6JJ56YiI3PP/88fePQoUPp\n",
           "G/fdd1/6xvbt29M3SillxYoVVXa4c9S6h/v222/TNz755JP0jePHj6dvnDx5Mn1jaWkpfaOUUjZt\n",
           "2pS+MTMzk77x2muvpW9MT0+nb/z000/pG++88076RimlnDp1Kn3j0qVL6RtPPvlk+sbatWvTN4bD\n",
           "YfpGKaUcPnw4faPG9bzPnu5Nk/IcY3FxMX1jMBikb9R636px3qemptI3atzz7ty5M32j1+ulb5Ti\n",
           "fR749/hGGwAAAAAAAAAACBDaAAAAAAAAAABAgNAGAAAAAAAAAAAChDYAAAAAAAAAABAgtAEAAAAA\n",
           "AAAAgAChDQAAAAAAAAAABAhtAAAAAAAAAAAgQGgDAAAAAAAAAAABQhsAAAAAAAAAAAgQ2gAAAAAA\n",
           "AAAAQIDQBgAAAAAAAAAAAoQ2AAAAAAAAAAAQILQBAAAAAAAAAIAAoQ0AAAAAAAAAAAQIbQAAAAAA\n",
           "AAAAIEBoAwAAAAAAAAAAAUIbAAAAAAAAAAAIENoAAAAAAAAAAECA0AYAAAAAAAAAAAKENgAAAAAA\n",
           "AAAAECC0AQAAAAAAAACAAKENAAAAAAAAAAAECG0AAAAAAAAAACBAaAMAAAAAAAAAAAGtcb8AxmM0\n",
           "GlXZ6ff76RsLCwvpGzWOo9Y5mRRN06Rv7NmzJ31jfn4+faPT6aRvtNvt9I1S6px3APinNmzYkL7x\n",
           "6quvpm/8/vvv6RvffPNN+sbHH3+cvjE9PZ2+UUqdn61JUeP+ajgcpm8MBoP0jVJKOXz4cPpGjd/3\n",
           "P//8M32jxu97jXu4Uko5cOBA+saWLVvSN2qckxr3omvWrEnfePbZZ9M3Sqnz/jg1NZW+8dJLL6Vv\n",
           "1Pj5rXEtVEopX375ZfpGjc+Ba+h2u+kbk/QZWo3rOs8x4ibpOUarlf+I9PHHH0/f2LZtW/rGvn37\n",
           "0jd27NiRvlHKZL0/AuPlG20AAAAAAAAAACBAaAMAAAAAAAAAAAFCGwAAAAAAAAAACBDaAAAAAAAA\n",
           "AABAgNAGAAAAAAAAAAAChDYAAAAAAAAAABAgtAEAAAAAAAAAgAChDQAAAAAAAAAABAhtAAAAAAAA\n",
           "AAAgQGgDAAAAAAAAAAABQhsAAAAAAAAAAAgQ2gAAAAAAAAAAQIDQBgAAAAAAAAAAAoQ2AAAAAAAA\n",
           "AAAQILQBAAAAAAAAAIAAoQ0AAAAAAAAAAAQIbQAAAAAAAAAAIEBoAwAAAAAAAAAAAUIbAAAAAAAA\n",
           "AAAIENoAAAAAAAAAAECA0AYAAAAAAAAAAAKENgAAAAAAAAAAECC0AQAAAAAAAACAAKENAAAAAAAA\n",
           "AAAEtMb9Au42o9EofWM4HKZvDAaD9I1SSllcXEzf6Pf76Rs1zvukaJqmyk63203f6PV66Rs1jqPW\n",
           "OQEAbmm18m+zdu7cmb5x7dq19I233norfePrr79O3/jhhx/SN0op5eGHH66yk21S7nmPHDmSvlHr\n",
           "3v3ChQvpG+vXr0/f6HQ66Rv79+9P36hxHKWU0m630zfcj8bV+B155ZVX0jdKKeW3335L3zh27Fj6\n",
           "xmeffZa+MTc3l76xd+/e9I1SSllaWkrfOH36dPpGjc+za6hxv3Dx4sX0jVJKOXXqVPrGoUOH0jc8\n",
           "x4irdf2we/fu9I0a7/PPPPNM+sb09HT6Ro3PUgD+Tb7RBgAAAAAAAAAAAoQ2AAAAAAAAAAAQILQB\n",
           "AAAAAAAAAIAAoQ0AAAAAAAAAAAQIbQAAAAAAAAAAIEBoAwAAAAAAAAAAAUIbAAAAAAAAAAAIENoA\n",
           "AAAAAAAAAECA0AYAAAAAAAAAAAKENgAAAAAAAAAAECC0AQAAAAAAAACAAKENAAAAAAAAAAAECG0A\n",
           "AAAAAAAAACBAaAMAAAAAAAAAAAFCGwAAAAAAAAAACBDaAAAAAAAAAABAgNAGAAAAAAAAAAAChDYA\n",
           "AAAAAAAAABAgtAEAAAAAAAAAgAChDQAAAAAAAAAABAhtAAAAAAAAAAAgQGgDAAAAAAAAAAABQhsA\n",
           "AAAAAAAAAAgQ2gAAAAAAAAAAQEBr3C/g3zQajdI3+v1++sbi4mL6xmAwSN8opZThcJi+UeO8T4qm\n",
           "adI3ut1u+kYppfR6vfSNGsdS45wAALfUum6clGvg5eXl9I37778/fePEiRPpG++//376RimlLC0t\n",
           "VdnJduTIkfSNGve8586dS99YvXp1+kYppezatSt944033kjf6HQ66Rvtdjt9w33ivanVyv+YdseO\n",
           "HekbpZTyxx9/pG+cPXs2faPG58AXL15M33j++efTN0opZW5uLn3jypUr6Rvvvvtu+sbCwkL6xpkz\n",
           "Z9I3jh8/nr5RSp3r+Rr/XpPyHMMzhtszOzubvrFq1ar0DQD+l2+0AQAAAAAAAACAAKENAAAAAAAA\n",
           "AAAECG0AAAAAAAAAACBAaAMAAAAAAAAAAAFCGwAAAAAAAAAACBDaAAAAAAAAAABAgNAGAAAAAAAA\n",
           "AAAChDYAAAAAAAAAABAgtAEAAAAAAAAAgAChDQAAAAAAAAAABAhtAAAAAAAAAAAgQGgDAAAAAAAA\n",
           "AAABQhsAAAAAAAAAAAgQ2gAAAAAAAAAAQIDQBgAAAAAAAAAAAoQ2AAAAAAAAAAAQILQBAAAAAAAA\n",
           "AIAAoQ0AAAAAAAAAAAQIbQAAAAAAAAAAIEBoAwAAAAAAAAAAAUIbAAAAAAAAAAAIENoAAAAAAAAA\n",
           "AECA0AYAAAAAAAAAAAKENgAAAAAAAAAAENC6fv16laFz586lbwwGg/SNxcXF9I1+v5++MRqN0je4\n",
           "86xfvz59Y8+ePekbpZSydu3a9I0a7ykAQD3D4bDKzpEjR9I3ahzLjRs30jd+/vnn9I1r166lb9S4\n",
           "hyul3s9wtkk5jpmZmfSNF154IX2jlFJefvnl9I3t27enbzRNk74xSW7evJm+cfny5fSNq1evpm/U\n",
           "+Ju4tLSUvrG8vJy+UcrkfO5Y4zh+/PHH9I1a740vvvhilZ1sNX7fjx49mr5R43PNX3/9NX2jlFL+\n",
           "+uuvKjuToMbve7fbTd/o9XrpG6XUORbXpwCTyzfaAAAAAAAAAABAgNAGAAAAAAAAAAAChDYAAAAA\n",
           "AAAAABAgtAEAAAAAAAAAgAChDQAAAAAAAAAABAhtAAAAAAAAAAAgQGgDAAAAAAAAAAABQhsAAAAA\n",
           "AAAAAAgQ2gAAAAAAAAAAQIDQBgAAAAAAAAAAAoQ2AAAAAAAAAAAQILQBAAAAAAAAAIAAoQ0AAAAA\n",
           "AAAAAAQIbQAAAAAAAAAAIEBoAwAAAAAAAAAAAUIbAAAAAAAAAAAIENoAAAAAAAAAAECA0AYAAAAA\n",
           "AAAAAAKENgAAAAAAAAAAECC0AQAAAAAAAACAAKENAAAAAAAAAAAECG0AAAAAAAAAACBAaAMAAAAA\n",
           "AAAAAAFCGwAAAAAAAAAACJj64IMPlmsMffTRR+kbg8EgfWM4HKZvjEaj9A3uTU3TpG+02+30jVLq\n",
           "HAsAMFlqXWe7Z4Dxq3FfMjc3l76xdevW9I1SSlm3bl36xooVK9I3uD1XrlxJ3zh69Gj6xvfff5++\n",
           "cfny5fSNa9eupW8sLS2lb5RS5zrF9VbcqlWrquxs3LgxfWN5Of9Rxrlz59I3rl+/nr7BnafG59nd\n",
           "bjd9o9frpW/UOI5SPGMA4J/xjTYAAAAAAAAAABAgtAEAAAAAAAAAgAChDQAAAAAAAAAABAhtAAAA\n",
           "AAAAAAAgQGgDAAAAAAAAAAABQhsAAAAAAAAAAAgQ2gAAAAAAAAAAQIDQBgAAAAAAAAAAAoQ2AAAA\n",
           "AAAAAAAQILQBAAAAAAAAAIAAoQ0AAAAAAAAAAAQIbQAAAAAAAAAAIEBoAwAAAAAAAAAAAUIbAAAA\n",
           "AAAAAAAIENoAAAAAAAAAAECA0AYAAAAAAAAAAAKENgAAAAAAAAAAECC0AQAAAAAAAACAAKENAAAA\n",
           "AAAAAAAECG0AAAAAAAAAACBAaAMAAAAAAAAAAAFCGwAAAAAAAAAACBDaAAAAAAAAAABAgNAGAAAA\n",
           "AAAAAAAChDYAAAAAAAAAABAw9dxzzy3XGDp79mz6xmg0St8AAAAA7mxN06RvtNvt9I0ax8G96+bN\n",
           "m+kbly9fTt+4evVq+saNGzfSN2qcDwD+v1WrVqVvzM7Opm/0er30jW63m77hGhiAu4FvtAEAAAAA\n",
           "AAAAgAChDQAAAAAAAAAABAhtAAAAAAAAAAAgQGgDAAAAAAAAAAABQhsAAAAAAAAAAAgQ2gAAAAAA\n",
           "AAAAQIDQBgAAAAAAAAAAAoQ2AAAAAAAAAAAQILQBAAAAAAAAAIAAoQ0AAAAAAAAAAAQIbQAAAAAA\n",
           "AAAAIEBoAwAAAAAAAAAAAUIbAAAAAAAAAAAIENoAAAAAAAAAAECA0AYAAAAAAAAAAAKENgAAAAAA\n",
           "AAAAECC0AQAAAAAAAACAAKENAAAAAAAAAAAECG0AAAAAAAAAACBAaAMAAAAAAAAAAAFCGwAAAAAA\n",
           "AAAACBDaAAAAAAAAAABAgNAGAAAAAAAAAAAChDYAAAAAAAAAABAw9cADDyyP+0UAAAAAAABwd2ia\n",
           "psrOY489lr4xMzOTvjE3N5e+MTs7m75R67wDwJ3ON9oAAAAAAAAAAECA0AYAAAAAAAAAAAKENgAA\n",
           "AAAAAAAAECC0AQAAAAAAAACAAKENAAAAAAAAAAAECG0AAAAAAAAAACBAaAMAAAAAAAAAAAFCGwAA\n",
           "AAAAAAAACBDaAAAAAAAAAABAgNAGAAAAAAAAAAAChDYAAAAAAAAAABAgtAEAAAAAAAAAgAChDQAA\n",
           "AAAAAAAABAhtAAAAAAAAAAAgQGgDAAAAAAAAAAABQhsAAAAAAAAAAAgQ2gAAAAAAAAAAQIDQBgAA\n",
           "AAAAAAAAAoQ2AAAAAAAAAAAQILQBAAAAAAAAAIAAoQ0AAAAAAAAAAAQIbQAAAAAAAAAAIEBoAwAA\n",
           "AAAAAAAAAUIbAAAAAAAAAAAIaI37BQAAAAAAANwLmqZJ32i32+kbnU4nfaOUUg4cOJC+sWXLlvSN\n",
           "6enp9I0aP1sAwC2+0QYAAAAAAAAAAAKENgAAAAAAAAAAECC0AQAAAAAAAACAAKENAAAAAAAAAAAE\n",
           "CG0AAAAAAAAAACBAaAMAAAAAAAAAAAFCGwAAAAAAAAAACBDaAAAAAAAAAABAgNAGAAAAAAAAAAAC\n",
           "hDYAAAAAAAAAABAgtAEAAAAAAAAAgAChDQAAAAAAAAAABAhtAAAAAAAAAAAgQGgDAAAAAAAAAAAB\n",
           "QhsAAAAAAAAAAAgQ2gAAAAAAAAAAQIDQBgAAAAAAAAAAAoQ2AAAAAAAAAAAQILQBAAAAAAAAAIAA\n",
           "oQ0AAAAAAAAAAAQIbQAAAAAAAAAAIEBoAwAAAAAAAAAAAUIbAAAAAAAAAAAIENoAAAAAAAAAAEBA\n",
           "a9wvAAAAAAAA4O80TZO+0W630zc6nU76xv79+9M3ahxHKXXOSY2fLQBgsvhGGwAAAAAAAAAACBDa\n",
           "AAAAAAAAAABAgNAGAAAAAAAAAAAChDYAAAAAAAAAABAgtAEAAAAAAAAAgAChDQAAAAAAAAAABAht\n",
           "AAAAAAAAAAAgQGgDAAAAAAAAAAABQhsAAAAAAAAAAAgQ2gAAAAAAAAAAQIDQBgAAAAAAAAAAAoQ2\n",
           "AAAAAAAAAAAQILQBAAAAAAAAAIAAoQ0AAAAAAAAAAAQIbQAAAAAAAAAAIEBoAwAAAAAAAAAAAUIb\n",
           "AAAAAAAAAAAIENoAAAAAAAAAAECA0AYAAAAAAAAAAAKENgAAAAAAAAAAECC0AQAAAAAAAACAAKEN\n",
           "AAAAAAAAAAAECG0AAAAAAAAAACBAaAMAAAAAAAAAAAGtcb8AAAAAAACAv7Np06b0jTfffDN94+mn\n",
           "n07f2LJlS/rGypUr0zcAAO5UvtEGAAAAAAAAAAAChDYAAAAAAAAAABAgtAEAAAAAAAAAgAChDQAA\n",
           "AAAAAAAABAhtAAAAAAAAAAAgQGgDAAAAAAAAAAABQhsAAAAAAAAAAAgQ2gAAAAAAAAAAQIDQBgAA\n",
           "AAAAAAAAAoQ2AAAAAAAAAAAQILQBAAAAAAAAAIAAoQ0AAAAAAAAAAAQIbQAAAAAAAAAAIEBoAwAA\n",
           "AAAAAAAAAUIbAAAAAAAAAAAIENoAAAAAAAAAAECA0AYAAAAAAAAAAAKENgAAAAAAAAAAECC0AQAA\n",
           "AAAAAACAAKENAAAAAAAAAAAECG0AAAAAAAAAACBAaAMAAAAAAAAAAAFCGwAAAAAAAAAACBDaAAAA\n",
           "AAAAAABAwH8BnARuHiMa8swAAAAASUVORK5CYII=\n",
           "\" transform=\"translate(87, 406)\"/>\n",
           "</g>\n",
           "</svg>\n"
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:131 Obj:187.86921211066158 Vol:0.500004772717158 ch:0.19999999999999996 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:132 Obj:187.83999720390952 Vol:0.4999847474376571 ch:0.06254530677005987 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:133 Obj:187.83777820498528 Vol:0.4999883418060417 ch:0.014608850320679156 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:134 Obj:187.8333439247369 Vol:0.5000145660691905 ch:0.015403871171778272 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:135 Obj:187.82295959824108 Vol:0.500018204771292 ch:0.016764769732259932 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:136 Obj:187.82017137613263 Vol:0.5000129258697458 ch:0.01812525667236803 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:137 Obj:187.81997378634455 Vol:0.5000022507346488 ch:0.019402482874746885 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:138 Obj:187.82129045971573 Vol:0.4999884638385614 ch:0.02049304997004836 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:139 Obj:187.82338589684775 Vol:0.5000122331847996 ch:0.02087537901924083 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": [
           "\" It:140 Obj:187.8139145409194 Vol:0.500015798633688 ch:0.02123906236574169 \""
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "image/svg+xml": [
           "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
           "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
           "<defs>\n",
           "  <clipPath id=\"clip2100\">\n",
           "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
           "  </clipPath>\n",
           "</defs>\n",
           "<path clip-path=\"url(#clip2100)\" d=\"\n",
           "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
           "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
           "<defs>\n",
           "  <clipPath id=\"clip2101\">\n",
           "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
           "  </clipPath>\n",
           "</defs>\n",
           "<path clip-path=\"url(#clip2100)\" d=\"\n",
           "M86.9921 1521.01 L2352.76 1521.01 L2352.76 47.2441 L86.9921 47.2441  Z\n",
           "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
           "<defs>\n",
           "  <clipPath id=\"clip2102\">\n",
           "    <rect x=\"86\" y=\"47\" width=\"2267\" height=\"1475\"/>\n",
           "  </clipPath>\n",
           "</defs>\n",
           "<polyline clip-path=\"url(#clip2100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
           "  86.9921,1521.01 2352.76,1521.01 \n",
           "  \"/>\n",
           "<polyline clip-path=\"url(#clip2100)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
           "  86.9921,1521.01 86.9921,47.2441 \n",
           "  \"/>\n",
           "<g clip-path=\"url(#clip2102)\">\n",
           "<image width=\"2266\" height=\"755\" xlink:href=\"data:image/png;base64,\n",
           "iVBORw0KGgoAAAANSUhEUgAACNoAAALzCAYAAADN4vhJAAAgAElEQVR4nOzcX4+cdd3H8e/szpQW\n",
           "XduiUIUyILO2KyRAiFKQxhgOCImRKErCmsiBnHjisY/BRH0GCKwmk3Bg1BhTo0d1TajGWDRETTor\n",
           "nTUtTSM0QJE6+8eD+/TO7bd6f3+7Xvt6PYH3XJ2da6655tPpLSwsbAcAAAAAAADADpqbm9vph/Bf\n",
           "pcW/V6/X60SjVafFc7K9Xf/1fot/q6NHj5Y3brzxxvJGRMTGxkZ5Y319vbzx9ttvlzda/P224N0K\n",
           "AAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxt\n",
           "AAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQ\n",
           "BgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIM\n",
           "bQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB\n",
           "0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAAS\n",
           "+jv9AAAAAAAAAIDdrdfrlTcOHDhQ3oiIuPPOO8sbg8GgvDE/P1/e6Pfrv05u0YjoznOyublZ3lhY\n",
           "WChvPPbYY+WNxcXF8kZExN/+9rfyxg9/+MPyxqlTp8ob77zzTnmjBb9oAwAAAAAAAAAACYY2AAAA\n",
           "AAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAA\n",
           "AAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAA\n",
           "AAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMA\n",
           "AAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYA\n",
           "AAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkNDf6QcAAADA3jQ3V/9/P2666abyxuHDh8sb\n",
           "ERHz8/NNOgAA8K/MZrMmnel0Wt7Y2NgobwwGg/JGi+dke3u7vHHzzTeXNyIinnjiifLGaDQqb9xx\n",
           "xx3ljX379pU3er1eeSOizX2IFsfS4rXY4jiOHDlS3ti/f395IyJic3OzvNHi7/fs2bPljXPnzpU3\n",
           "WvCLNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAA\n",
           "AJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAA\n",
           "AAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAA\n",
           "AACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAA\n",
           "AAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAn9nX4AAAAA\n",
           "7E0LCwvljRMnTpQ3Hn/88fJGRMSxY8fKG/2+2wQAAPxrk8mkSec73/lOeaPX65U3Dh06VN64evVq\n",
           "JxoXL14sb0REvPTSS+WN0WhU3lheXi5vLC4uljduv/328kZExGAwaNJh79ne3i5vXLt2rbzR4ji6\n",
           "wi/aAAAAAAAAAABAgqENAAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAAACQY2gAAAAAAAAAA\n",
           "QIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAA\n",
           "ACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAAAAAkGNoAAAAAAAAA\n",
           "AECCoQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAA\n",
           "AAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJPR3+gEAAACw\n",
           "N7399tvljbNnz5Y3Dh48WN6IiLjlllvKG4uLi+WNm2++ubwxPz9f3gAA2K1ms1l5469//Wt5IyJi\n",
           "aWmpvPG5z32uvHHs2LHyRovn/fz58+WN8Xhc3oiImEwm5Y3V1dXyxtraWnnjYx/7WHnj6aefLm9E\n",
           "tPnMe/To0fJGv+8r/t1mOp2WN1qcH1scR1f4RRsAAAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAA\n",
           "AAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAA\n",
           "AAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAA\n",
           "AAAAAEgwtAEAAAAAAAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAA\n",
           "AAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAA\n",
           "AAAAAABIMLQBAAAAAAAAAICE/t13390ktLW11aTD3vOPf/yjvLG+vl7emM1m5Q0AANhNWnxOvHDh\n",
           "Qnnjxz/+cXkjIuLVV18tb5w4caK88dhjj5U3RqNReeODH/xgeWN+fr68AQB0z3Q6LW/85Cc/KW9E\n",
           "RHzkIx8pb9x3333ljRbH0cJdd91V3mhxLR8RMZlMyhvj8bi80eI4Tp8+Xd44d+5ceSMiYmlpqbzx\n",
           "1FNPlTcWFxfLG7fddlt5o9/vlzdaff/a4rXYotHi32swGJQ37rjjjvKGX7QBAAAAAAAAAIAEQxsA\n",
           "AAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQB\n",
           "AAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMb\n",
           "AAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAAAAAASDC0\n",
           "AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARD\n",
           "GwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABI6L388svbLUJzczY91Dh//nx5YzwelzfW\n",
           "19fLG+w+s9msvDGdTssbrQyHw/LGYDAob3TleW9xHFCl1+s16Rw4cKC8ceutt5Y3trfrPzK0OG9t\n",
           "bGyUNyIi9u/fX9547733yhstnneuT4vP1R/4wAfKG3fddVd545FHHilvPProo+WN0WhU3oiIOHz4\n",
           "cHnDfSEA+B8t7qecPn26vHHq1KnyRkTEk08+Wd548MEHyxvz8/PlDa5PV+7RTiaT8kaL78haHEdE\n",
           "xKVLl8obt912W3njnnvuKW984QtfKG+0+Ldq8T1yRMTKykp5Y3V1tbzR4tzY4l7H17/+9fKGuxwA\n",
           "AAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgD\n",
           "AAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2\n",
           "AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBo\n",
           "AwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmG\n",
           "NgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJDQ\n",
           "e+utt7Z3+kHAf2I2m5U3ptNpeaPFcbD7TCaT8sY3v/nN8kYr3/jGN8obo9GovNHinDIej8sbLf5+\n",
           "W/xbRTgH70WDwaBJ59577y1vfO1rXytvXLhwobzx/e9/v7xxww03lDciIo4cOVLeeOONN8obb731\n",
           "VnnDdfbeNDdX/39+Dh06VN5ocd34mc98prwREfHpT3+6vLG0tFTeOHDgQHmj1+uVNwDYOVtbW+WN\n",
           "V155pbzR4r7QsWPHyhsREV/84hfLG4cPHy5vQJWufEfW4l5zRHfum1++fLm8ccstt5Q39u3bV964\n",
           "du1aeSPCPa7r0eL+wLe//e3yhl+0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsA\n",
           "AAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQB\n",
           "AAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMb\n",
           "AAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAAAAAASDC0\n",
           "AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARD\n",
           "GwAAAAAAAAAASOjv9AOA/9RgMChvjEaj8ga7z+bmZnnj8uXL5Y19+/aVN26//fbyRkTE0tJSeaPF\n",
           "670rjbW1tfLGyspKeSMi4pe//GV5YzablTfI29jYaNK5evVqeePChQvljT/84Q/ljbvvvru88aUv\n",
           "fam8EdHmHHzt2rXyxmuvvVbeGI/H5Y3JZFLemE6n5Y2I7ryXbG1tlTfeeOON8saVK1fKGy1ehxER\n",
           "Z86cKW98/vOfL2/cd9995Y0W5/gW9zkA+N+9+eab5Y1f/epX5Y0W9zUffPDB8kZExMGDB5t04L9V\n",
           "V74jGw6H5Y2INsfS4j5Ei/vmq6ur5Y2u3OfokhbnlBav9xbfjfpFGwAAAAAAAAAASDC0AQAAAAAA\n",
           "AACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAA\n",
           "AAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAA\n",
           "AAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAA\n",
           "AAAAAEgwtAEAAAAAAAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAA\n",
           "AAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgIT+Tj8AgN3q0qVL5Y2f/exn5Y39+/eXN5aXl8sb\n",
           "ERHD4bBJp9pgMChvjEaj8satt95a3rh48WJ5IyJiMpmUN86fP1/eIG97e7tJp8Xf1srKSnnj+PHj\n",
           "5Y2vfOUr5Y2HH364vBHR5jzfwkc/+tHyRov3qxavw/F4XN6IaHMs0+m0vDGbzcobLWxtbZU3Ll++\n",
           "XN6IiHjzzTfLG3/5y1/KG0tLS+WNL3/5y+WNFufGiDafr7ryngjsDpubm+WNP//5z+WNtbW18sZn\n",
           "P/vZ8sbHP/7x8kZExNyc/y8Oe0Gr68YW19pd+R6jxf2BFvc5uD4t/n5bfKe4uLhY3nCFAgAAAAAA\n",
           "AAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAA\n",
           "AAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAA\n",
           "AAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAA\n",
           "AAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAA\n",
           "AAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkNDf6QcAsFu988475Y2zZ8+W\n",
           "N957773yxnA4LG9ERAwGgyadLpjNZuWN3/72t+WNl19+ubwREXH58uUmHfaeFq/FFo2HHnqovPGJ\n",
           "T3yivOF95Pq0+PcajUbljRbXKS2OIyJiMpmUN8bjcXmjxXFMp9PyRovzbysbGxvljfX19fLG66+/\n",
           "Xt5YW1srb7Q6pywvL5c3unKedw0Bu8OlS5fKGz//+c/LG5ubm+WNO++8s7zh3AgAbXXlXl2Lxr59\n",
           "+8obftEGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAA\n",
           "AAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAA\n",
           "AAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAA\n",
           "AAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAA\n",
           "AAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgob/TDwBg\n",
           "t9ra2ipvXLt2rbyxsLBQ3pifny9vtLKxsVHeuHjxYnnjT3/6U3njxRdfLG+cOXOmvBER8fe//71J\n",
           "h5zBYFDeGA6H5Y1WXn/99fLG6dOnyxv33ntveeOBBx4ob0R0632xC1qcU0ajUXkjos25q8WxTCaT\n",
           "8sZ4PC5vtDiO6XRa3oiImM1mTTrVWhxHl573FsfS4pyyvLxc3mhxHC3O8S3eE9m7WpyD//jHP5Y3\n",
           "rly5Ut544oknyhtd+swL8P+pxfvV6upqeWNlZaW80epzSVe0uNY+efJkeeOZZ54pb3TlOsUv2gAA\n",
           "AAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0A\n",
           "AAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqENAAAAAAAAAAAkGNoA\n",
           "AAAAAAAAAECCoQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBjaAAAAAAAAAABAgqEN\n",
           "AAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAAACQY2gAAAAAAAAAAQIKhDQAAAAAAAAAAJBja\n",
           "AAAAAAAAAABAgqENAAAAAAAAAAAkGNoAAAAAAAAAAECCoQ0AAAAAAAAAACT0d/oBAPw7ZrNZeWM6\n",
           "nZY33v/+95c3PvWpT5U3Dh06VN6IaPO8//rXvy5v/OAHPyhvvPLKK+WNc+fOlTdaPOddMhgMyhvD\n",
           "4bC8MRqNyhvLy8vljVZWVlbKG7///e/LG6dOnSpvtPj7jYg4cuRIkw57T4vzfItzcFfeSyaTSXlj\n",
           "PB6XNyLaHEuLz1dduXZsdRxded5bHEdXrk9bHEdEm/N8i/dErs/6+np540c/+lF5Y2Fhobxx/Pjx\n",
           "8obXCPDfptU18OrqannjueeeK2+0OI6ufL5q9Z548uTJ8sazzz5b3mhxHF25TvGLNgAAAAAAAAAA\n",
           "kGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAA\n",
           "AAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAA\n",
           "AJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAA\n",
           "AAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAA\n",
           "AACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkNDf6QcA8O+Y\n",
           "TqfljfF4XN64evVqeeOhhx4qb1y5cqW8ERHxu9/9rrzxve99r7xx5syZ8sa7775b3tje3i5vtDIY\n",
           "DMobw+GwvDEajcoby8vL5Y0Wx9Hi+Wilxd/v888/X974zW9+U954+OGHyxsRETfddFN5o8XzDlVa\n",
           "/P125b2kxXFEREwmk/JGi89XLY6jxWfR2WxW3milxbF05XlvcRytzinPPPNMeePkyZPlja5cb7U6\n",
           "p6ytrTXpVHv88cfLGx/+8IfLG8De0eI835VroYiIlZWV8sbq6mp5oyufGVpcb7W4boyIePbZZ8sb\n",
           "roF3F79oAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAA\n",
           "AAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAAAAAAAAAJhjYAAAAA\n",
           "AAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAAAAAAAACQYGgDAAAA\n",
           "AAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkGBoAwAAAAAAAAAACYY2AAAA\n",
           "AAAAAACQYGgDAAAAAAAAAAAJhjYAAAAAAAAAAJBgaAMAAAAAAAAAAAmGNgAAAAAAAAAAkNDf6QcA\n",
           "dMtsNmvSmUwmnWjMzdXvHV999dXyxne/+93yRkSb52Q6nZY3Wr1Oqg0Gg/LGcDgsb0REjEaj8sby\n",
           "8nJ5o8VxtHhOWvxtdcnJkyfLGxsbG+WNb33rW+WNF154obwREdHv13/MeuSRR8obXovwf2vxGmnx\n",
           "3h7R5v29xbG0+LwwHo/LGy2OI8Jnn+vR4ji68nk3ojvPe4vr7BbvJa2e95/+9KfljaNHj5Y3jh07\n",
           "Vt5o8XkB2B1avCeurq6WN1ZWVsobroGvT6/XK2/ceOON5Y0TJ06UN7761a+WNyK6c+1Inl+0AQAA\n",
           "AAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARDGwAA\n",
           "AAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEA\n",
           "AAAAAAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQBAAAAAAAAAIAEQxsA\n",
           "AAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAAAAAASDC0AQAAAAAAAACABEMbAAAAAAAAAABIMLQB\n",
           "AAAAAAAAAIAEQxsAAAAAAAAAAEgwtAEAAAAAAAAAgARDGwAAAAAAAAAASOjv9AMA2pnNZuWN1dXV\n",
           "8kZExMrKSnljOp2WN3q9XnnjxRdfLG9cvHixvBHR5m+4hcFgUN4YDofljdFoVN5YXl4ub0S0OZYW\n",
           "z0mLvy12nxbP+/HjxzvR+MUvflHeiIh4/vnnyxvve9/7yhsPPPBAeWN+fr68AfxrLd5LunK91eI4\n",
           "JpNJeSOizefqFvcIuvI5sYVW/1at7g11wYkTJ8obLe5vRUQcPHiwvPHoo4+WNz70oQ+VN4DdoSvf\n",
           "lzz33HPlDdd016fF56vFxcXyxv3331/eePLJJ8sbn/zkJ8sbEe7N70V+0QYAAAAAAAAAABIMbQAA\n",
           "AAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACDB0AYA\n",
           "AAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAGAAAAAAAAAAASDG0A\n",
           "AAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxtAAAAAAAAAAAgwdAG\n",
           "AAAAAAAAAAASDG0AAAAAAAAAACDB0AYAAAAAAAAAABIMbQAAAAAAAAAAIMHQBgAAAAAAAAAAEgxt\n",
           "AAAAAAAAAAAgwdAGAAAAAAAAAAASDG0AAAAAAAAAACCh/8927qdVyvr/4/hbnPEPIVR8+6MdR+r4\n",
           "JwuKSDqpQyC0biWSSrqYbXckqO7BIT0GtougRRBBxBSJ5cKFWDmRcyTLQIUK0dFzfou2P+Id9f4c\n",
           "HR+PO/Cay8szc11zPZmVfgHAXyaTSfnGcDgs35ifny/fiGhzLC3OSQvj8XilX8I9Zd26deUbu3fv\n",
           "Lt84cuRI+cbs7Gz5Rq/XK9+IiOh2u0124F61adOm8o0DBw6Ub1y9erV8IyLi7Nmz5RuffPJJ+UaL\n",
           "9+DHHnusfAO4f7S4pmtxDbxx48byjYg294qj0ah8wz3v3WdavuNaXl4u35imv5F9+/aVbzz//PPl\n",
           "G6tXry7fAP5eq+/lp+V5iWcl/0yLe4Z+v1++cfTo0fKNnTt3lm88/vjj5RudjhyCGn7RBgAAAAAA\n",
           "AAAAEoQ2AAAAAAAAAACQILQBAAAAAAAAAIAEoQ0AAAAAAAAAACQIbQAAAAAAAAAAIEFoAwAAAAAA\n",
           "AAAACUIbAAAAAAAAAABIENoAAAAAAAAAAECC0AYAAAAAAAAAABKENgAAAAAAAAAAkCC0AQAAAAAA\n",
           "AACABKENAAAAAAAAAAAkCG0AAAAAAAAAACBBaAMAAAAAAAAAAAlCGwAAAAAAAAAASBDaAAAAAAAA\n",
           "AABAgtAGAAAAAAAAAAAShDYAAAAAAAAAAM2oa0EAABZ2SURBVJAgtAEAAAAAAAAAgAShDQAAAAAA\n",
           "AAAAJAhtAAAAAAAAAAAgQWgDAAAAAAAAAAAJQhsAAAAAAAAAAEgQ2gAAAAAAAAAAQEJnpV8A3Asm\n",
           "k0n5xnA4LN+Yn58v32hxHBFtzgl53W63yc6TTz5ZvvH000+Xbxw8eLB8Y/fu3eUbrc47sPI6nfrb\n",
           "hrm5ufKNVtcP7733XvnG6dOnyzdafJY8/PDD5Rs+r+D+0eJ9/tKlS+UbFy5cKN+IiPj888/LNy5f\n",
           "vly+wd1n9erV5RsbNmwo3/j666/LN0ajUfnGgw8+WL4REXHo0KHyDdd1sPKm5VlJxPQ8L5mWZyWt\n",
           "3uP7/X75xmAwKN9ocRw+d+Hv+UUbAAAAAAAAAABIENoAAAAAAAAAAECC0AYAAAAAAAAAABKENgAA\n",
           "AAAAAAAAkCC0AQAAAAAAAACABKENAAAAAAAAAAAkCG0AAAAAAAAAACBBaAMAAAAAAAAAAAlCGwAA\n",
           "AAAAAAAASBDaAAAAAAAAAABAgtAGAAAAAAAAAAAShDYAAAAAAAAAAJAgtAEAAAAAAAAAgAShDQAA\n",
           "AAAAAAAAJAhtAAAAAAAAAAAgQWgDAAAAAAAAAAAJQhsAAAAAAAAAAEgQ2gAAAAAAAAAAQILQBgAA\n",
           "AAAAAAAAEoQ2AAAAAAAAAACQILQBAAAAAAAAAIAEoQ0AAAAAAAAAACQIbQAAAAAAAAAAIEFoAwAA\n",
           "AAAAAAAACZ2VfgHwb00mk/KN4XBYvjE/P1++0eI4WpwP/plut1u+0e/3yzciIo4ePVq+sW3btvKN\n",
           "mZmZ8o1Ox0c8cG+Zps+r27dvl2+8/fbb5RvHjx8v32hx3vfs2VO+0eI4oNKdO3fKN65cuVK+ce7c\n",
           "ufKNDz74oHzj+++/L9+IiLh48WL5xqpVq8o3ZmdnyzdavM+3+D5lPB6Xb0REbNiwoXxjx44d5RuL\n",
           "i4vlG5cuXSrfWLNmTflGRJv/X9Py9879aVre50ejUfnGwsJC+UaE5yX/xDR9ZzMYDMo3WhyLzytY\n",
           "eX7RBgAAAAAAAAAAEoQ2AAAAAAAAAACQILQBAAAAAAAAAIAEoQ0AAAAAAAAAACQIbQAAAAAAAAAA\n",
           "IEFoAwAAAAAAAAAACUIbAAAAAAAAAABIENoAAAAAAAAAAECC0AYAAAAAAAAAABKENgAAAAAAAAAA\n",
           "kCC0AQAAAAAAAACABKENAAAAAAAAAAAkCG0AAAAAAAAAACBBaAMAAAAAAAAAAAlCGwAAAAAAAAAA\n",
           "SBDaAAAAAAAAAABAgtAGAAAAAAAAAAAShDYAAAAAAAAAAJAgtAEAAAAAAAAAgAShDQAAAAAAAAAA\n",
           "JAhtAAAAAAAAAAAgQWgDAAAAAAAAAAAJQhsAAAAAAAAAAEgQ2gAAAAAAAAAAQILQBgAAAAAAAAAA\n",
           "Ejor/QKYbpPJpHxjOByWb8zPz5dvtDiOFudjmnS73fKNXq9XvjE7O1u+ceTIkfKNiIh+v1++0eK8\n",
           "A7AyWr3H79ixYyo2Pvvss/KNY8eOlW+sW7eufGPXrl3lGxERq1evbrLD3aPVPdyZM2fKNz7++OPy\n",
           "jdOnT5dvfPfdd+Uby8vL5RsREVu2bCnf2LZtW/nG66+/Xr4xMzNTvvHjjz+Wb7zzzjvlGxERFy5c\n",
           "KN/45Zdfyje2b99evvHQQw+Vb4zH4/KNiIgTJ06Ub7S4nvfd0/1pWp5jLCwslG+MRqPyjVbvWy3O\n",
           "+6pVq8o31q9fX74xNzdXvjEYDMo3IrzPA/8dv2gDAAAAAAAAAAAJQhsAAAAAAAAAAEgQ2gAAAAAA\n",
           "AAAAQILQBgAAAAAAAAAAEoQ2AAAAAAAAAACQILQBAAAAAAAAAIAEoQ0AAAAAAAAAACQIbQAAAAAA\n",
           "AAAAIEFoAwAAAAAAAAAACUIbAAAAAAAAAABIENoAAAAAAAAAAECC0AYAAAAAAAAAABKENgAAAAAA\n",
           "AAAAkCC0AQAAAAAAAACABKENAAAAAAAAAAAkCG0AAAAAAAAAACBBaAMAAAAAAAAAAAlCGwAAAAAA\n",
           "AAAASBDaAAAAAAAAAABAgtAGAAAAAAAAAAAShDYAAAAAAAAAAJAgtAEAAAAAAAAAgAShDQAAAAAA\n",
           "AAAAJAhtAAAAAAAAAAAgobPSL4CVMZlMmuwMh8Pyjfn5+fKNFsfR6pxMi263W76xd+/e8o2jR4+W\n",
           "b8zOzpZv9Hq98o2INucdAP6tTZs2lW8cOHCgfOPatWvlG2fOnCnf+Oijj8o3Nm/eXL4R0eb/1rRo\n",