1. Elements geomètrics
El Pla
- El pla és un element bidimensional (longitud i amplada).
- Quan una recta li apliquem un moviment rectilini diferent a la seva direcció, genera una superfície denominada pla.
- És una superfície plana, conceptualment il·limitada, perquè es tracta de l'espai mateix.
- Per a definir un pla es pot fer a partir dels elements següents:
- A partir de tres punts no alineats.
- A partir d'una recta i un punt exterior a aquesta primera.
- A partir de dues rectes paral·leles
- A partir de dues rectes que es tallen
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C4A0fNgWCFaw1oC9XV1VIxw3X9MGtAA5EmCW3y5MkSxrgk2DnIYwDcgSElQLDmzJkzY8aMbdu29e/fP0L/oqysbPfu3eG6hJg1oIGIUrP7yA0aU0chjwFwAY6aA8EK7xrQ/qi6uXr16rBcD+m6qUcAFyGMORZ5DIALsAY0ECw1ECsK55rCdYqM1SyAMJK+euvWrfWhDXWNSUJCwoYNG5ig2GnIYwBcgKPmQFDq6+t79uz5zTffvPXWW5E+pRyuU2SsAQ00nXTRi4qKpCplZmbu27evXbt2U6ZMqa6uJow5GXkMgNNx1BwI1o4dOwYOHDh79uzp06dH4d81/RQZq1kATaeaS+mfDxkyRB2IkSSWkZEhwSw5OVmaUcKYM5HHADgda0ADwerXr9+uXbuidkq5vr4+LS1NolTIp7aYsAdoInWm2ngGTO6ZOHGiNKAdOnSQn5Gb1wdNRB4D4GgcNQeCpdaAHj9+fGFhYdT+aWVl5aZNm0Krp6xmATRdRUXF9u3bdR3UYSwzMzM1NXXNmjUrV660exvhG3kMgKOxBjQQLLvWgE5JSQntFBlrQANNJ/WoRYsWqmdeV1d31113rV27durUqTNnzmzevHmzZs0sOvawF3kMgHNx1BwIlloDevDgwc8++2yU/3VlZeWCBQuCra2sZgGExbJlyzp37jxo0CDZCQwfPryqqmrGjBmzZs1SfyWPORl5zJX27Nnz+eefyw0OJcKxampqHn300S+++EJut2zZ8s4777z44ouDfRGGlADBUrUmomtAW0hJSZkyZUpQFZYJe4CwKCsr++ijj5KTk1UYGzly5KhRo1RHXfrtOTk5HNl0LPKYy9TV1Y0ZM2br1q3q165duz7wwANS3+zeLuBHpCUYN27c2WefLQ1D8+bNJZjJnU8//XRQkYyj5kCwbD+lXF1dfeLEiaDyGKtZAGEh1f/666//2c9+9tprr0kXXe45fvy4Wn5QwlhiYiKddscij7nMjTfe+MEHH6xatSohIaGmpmbOnDlS68rKykI48wBEzpgxY6SgSo9QdbCksyVdrt/97nePP/544C+i1oCOwmq2QMxw3crpauqR/Pz8adOm2b0tgLupU81yo7S0dPTo0WohspkzZ0qnUSra0qVLObLpWOQxN1GdWuOI57q6uilTpkyfPp08Bueoqanp3LnzsmXL7rjjDn1nVVVVQkJCUK/DUXMgKOqUstS1EydOuKXjxRrQQFjoMJafny9NZ48ePa666ippiE877bTk5OTs7Gy37BPiE3nMTRYtWiTpi+GYcLiKiorBgwc3cao0hpQAwXJdrVFTj2RmZjINN9AUqtlNSEhYsWJFr1696uvr33777ffee2/EiBEs3ekK5DE3eeSRRyZOnEgeg8NVVVUlJiauWbOmKSMbOWoOBOvqq6/es2ePi04pM2EP0HSqHkkYM64EraSkpBQWFpLHnI885ibFxcXjxo3zamsfe+yxG264gesV4SjNmjWTQPXggw/qe6SU9ujRY+HChYE8nTWggWCpWhPsKM3IKSsrk58WnQTbpx4BYoBFGPM0HNnMzMzksKbzkcfcRA3LMY57VmeoV61alZGRYffWAT+49957FyxYsHv3bjVmbMmSJZMnTw58yD5HzYFgjRkzprS01DmnlKWfMHbsWIvJUV039QjgKPX19YsXL87NzZXElZeX5/MkmHGFaDgZecxlpJMqXVXp11555ZUffvjhwoULzz777BdeeMHu7QJ+RC/MkJSUJB0yuWfkyJHLly8P5DIqjpoDwVK1pk+fPo5qDiym2GY1C6AppAZNnDixqKhIwpjFxIlqRTK3DCiNZ+Qx95k7d+6aNWsOHDggt7Ozs0NbZheIgnXr1n3yySdy49xzzw18LFlJSUlGRkYTpwMB4kpeXt7s2bOddkrZ4hSZ66YeAZwjwDDmaaiD8jCu/Hc+8hgAB+GoORAsqTVnnnnmJZdcIk2z3dvizd8pMlazAEJTW1s7a9YsSVmFhYXjxo2zbijr6uoks3GxifORxwA4iBoSyRrQQODUKWW1Aqzd2+JN+o7Dhw/3OrzCGtBAaFSFqqqqCvzcskQyjno4H3kMgINw1BwIVseOHQ8fPuzYNaCXLVvWtm1bY2+B1SyAEIQQxuAW5DGXqays3LRp086dO9u1ayct2bBhwxw1WgAIVl1d3ebNm3ft2lVUVDR06FC5PW/evHvvvdfu7QLcYceOHQMHDnRyrZE6PmTIkI0bNx4/flx+PXbsWGJiImtAA0GR7t/kyZMljDG4OiaRx1xDDd88evTolClTunbtevLkycOHDy9YsEBaYg6TwKXU0b709PQbbrihdevWOTk5ksrkfqdNSwA4ltSUl19+2cmnlKXxuvvuuysqKqSay0Y+99xz+/btY5kWIHBq/hsPjWPsIo+5RklJidRDr4l0VEgbMmQIXwRcR03dsWjRItW66DWghw0bJg2Pk/uXgEM4bQ1on5YtW7Z79+6nnnpKKrX8qubl//LLL1esWNGrVy+vB9fV1RUXF3/99df33Xef3RsOOAJhLB6Qx9xBrS3js4eqzjBIa2f3NgLBKSkp+eKLL/TZXeMa0HK7ZcuWTOkBWHP+QCzpSi5YsKC0tHTVqlXya9u2bdUa0J06dbrtttvM06hKGHvggQcuuOCCv/71r3ZvO2A/NVtPQkLChg0bfK743CjpJcqLMHeOw5HH3KG6unrNmjV6BQmpXSdPntQNcEpKivzJse0x4JN0JTMzM1W59VoDmiVTgEa5YuX0rKws6U1ed911amuvuOKK119/XU09InuAAQMGeI2EmTBhwpdffinVX5q8wBctBGKSOkzZlDDm+X49DIsuPZyAPOYOZWVlx48fV6cLVKvmMZy5NvZrAbcwHkdYvnz5+PHjFy5cmJ2d7SGPAQEwnlK2e1v8atasme5L3H777Y8//rieGq6iouKdd94xjn+uqanp3LnzqlWrpMnr0KGDPNLuzQdsE5Ywpkg1dOz8q1DIY+4gH3hBQYGajUqdvFb3q5Y4MTGx6dUViLKcnJzU1NRevXrV19d37dr166+/Pv/885csWSJF2uuEMAAv6pi39NUcfrG66gju3bu3uLhY2qnPP/9cX3hvzmPLly9fv379jh075MHjxo2Tv1588cV2vwMg2tTUAEVFRZmZmV6zBoSGo/bORx5zBzXzwerVqy+88EK5IffMnj178ODBcmPVqlXl5eVOvl4F8Ekt3iCha/PmzcOGDVu2bNlNN900fPjwRYsWyf3mC5kAaGVlZWoglpNb4dra2qFDh3733XfSWl1xxRVpaWlTp07Vx1nM65L169evVatWd91112effZaamjp9+nRp6ex+E0BUhT2Miblz50rlcvKJdJDHXEMtPXH33XePGTOmuLg4PT1dT7nDxMFwqaysrF69epWWluoJu6UDJ6VaWqDXXnuNiysAf7p06fLuu+869hokvVRmz549ZQsffvhhr6lH1ExUW7Zs0ZNUVVVVJSYmehomYDznnHPkrUk2e/PNN+1+K0D06DA2derUmTNnhqt2l5WVyU967E5GHnMTHcBeeeWV//iP/5CfOoY5eX4twB9pe37zm988/fTTo0aNmjVr1ieffCJ9uDfeeOPjjz9+5JFHOJgH+KTaghkzZkitsXtbfJDoVVdXJ81T79695VfpX3bu3Pm+++7TU4+oFaJnz55tPAd+zz33VFRU6ACm4hlHGxE/1EEKKfl6jGW46KtR7H6L8Is85iaqDR4zZkzbtm3l1+7duw8dOvTgwYNyZ1hGfALRJ+W5tLR00qRJp556aqtWra688krpoqlmSS9NBsCoX79+u3btcssaffX19ZLEtm3blp2dLTV69+7dO3fulMzm1X+4/PLLpUV78MEH9T39+/dv167dU089Zfc7ACIucmHM8+M5COBM5DE38bfUjMppRDK4jrRA7du3l07Ypk2bzH9iYT3ATLW/aWlpTggqdXV1mzdv7tGjh3llZ01NPdKzZ8/58+cfP368TZs2vXv39roQS7qhjz76aGpqqvGM2fLly6V1mzVrFrN6ILZJpR47dqzUAjUaJRL/wjjTKRyIPOYa6jM3DoY2IpLBjfLy8mbPnu3wCbsBR7n11lufeOIJe69Rl4i1d+9eNUJMuo+SoyzO1Lli6hHALnooSkSbwsTERONwTTgNecw1Gl1qhkgGd1Er6Tl/wm7AOVStueqqq1555RVbNqC2tra8vLykpKRHjx5qhFijUw5IR7CqqsqxU48ANopOGPMw5b3jkcfcQbXBejC0P0QyuIhaSS9yl2cAseehhx667777tm3b1r9//2j+X3VCTGrrvn37xo8fL/89wCZGtUqRGBIDuF1FRcXgwYOlz7ZixQqLK37DYtmyZZ07d2YVGccij7mD6rlu3bq10bpEJIMrSPeuZ8+eX3/99cGDBwM5ai77nJMnT0a6xQKcTA3E6tChw9///vdo/l/pyUkblJSUNGzYsGAP4aekpJSXl7tl6hEgatRFT1HrrdXW1spPuoWORR5zAbUYtNzYuXNnID1XIhmcL9ij5sy4CKxduzYtLS3Kp5SlAdqyZYu0QSEEKuthz0DcinIYg/ORx1xAndEOqg0mksHhQjhqXl1d3bt3byb/QNyKzhrQtbW14Wo1/M0JDMSt+vr6VatWSRjLzMzMy8ujhwaFPOYCoV3vQSSDY6lklZ+fP23atKCeqEo13TvEoUivAW0cIRaWedgCHPYMxA+pZRMnTiwqKpIwtnTpUma4gUYec7qmDIYmksGZmnLUXEr15MmTKdKIN5EbiKWnTAxthJg/jc4JDMQVwhgskMecronXexDJ4DRqDWhpkFauXBnaKxDJEG8iMRDLa8rEoUOHhjHpqalHWM0CUKThmzVrloSx/Pz87OxsW8JYdXW1NL7MrONM5DFHC0sbrOZmJJLBIdSE3U08ak4kQ1wJ70CsCJ0QM2INaEBT81FVVVXZu/CDVPkWLVpQJZ2JPOZo4breg5l84BBqSEmPHj2qq6ub+FJEMsSJ8A7EqqiomDFjRnp6empqauSOlKs1oJnmHnBIGPM0HCU5fvw4C346E3nMucLbBhPJ4AThnbCbSIZ44LqBWKwBDSjV1dW33XabhLFA1o+NNOm6FxUVsfiEM5HHnEtdZxjGD5lIBnupNaCPHz9eU1MTrqvnpbU744wzmG4RsUoNxOrateuBAweCfW5dXd3OnTs/+uijKOeirKws6fYdOXKEhgbxTB2YkBsOOZhSW1srnUDmO3Um8phDBbsGdICIZLBRpCfsBmKPOjAX7Cnl6urqZ599Njc3t7Cw8IYbbojmAQvWgAY8zgtjSrNmzSz69rARecyh1BrQkbjeg0gGu/Tt2/ell15iSAkQuKDWgK6vr5fO3/Lly+X22LFjhwwZEv1p3ObOnSs5cO/evb169bLlEwNsp+dRW716taMu30hJSZk/f76jNgkKecyhIrfUjIdIBjuonUZaWtpTTz1l97YA7rBjx46BAwfOnj17+vTp1o+U+vX888/Ljj0/P//GG2+0KwuxBjTg5C5WTk5Oamoqx0ociDzmRNXV1b1795Zmddq0aRH6F07eXyAmqSEl4Zqw2yc1jRVFGjGjX79+u3btsh6IVVlZuWDBAk/DCbGkpCR7Tz67buoRILwc3rkqKyuTn3TdHYg85kThXWrGH73X2LJlC9ePIaLUUfMoLA7LjItwO2le9+/fLzWlffv2sotu9JRyRUXFf/7nfzrhgHeEhj0DriDlf+bMmdJ5y8zMXLp0qTOrgOwu3nnnHSY+dSDymOPU1tZKMyz1eeXKlZH+XyqSOXnfgdig1oDetm1b//79I/2/iGRwKdWfk+Z17NixLVq0kI7d9u3bb7nllkcffVTvn+Ux8tOZu2vWgEbckoo5ceLEoqIih3eomPLeschjjhPl6z2IZIg0NWF3+/bt33///ej8RyIZ3CgrK6tXr17q0LU6pZyYmNi3b99WrVpNmzZNjxBz7NWAER32DDiWW8KYp2HHMmTIkEhfqIIQkMecxZbB0EQyRJQ6al5aWjp69Oio/VMiGdxFDQPTe359Slma2v79+1944YUtWrRwwggxi+1nDWgoUhg2bdrUvn37Xr16de3a1ZklNlzUuOWqqiq3FP6UlBSm23Eg8piz2HW9B5EMkZOYmChtVYATdocRkQwuYpz3rL6+vlu3bl999dXtt98+c+bMjIyMM888U3p7dm+jFdaAhqbmJNO/JicnDxw4sHPnzlKqY6x4uC6MwbHIYw5i72BoIhkiwd6j5kQy2E4tJqlud+/eXUKXpCzzGYPExEQ9tZI6MJeQkDB79uwrr7zy6NGjDh/yYbEGdHFxcUFBwcGDB4cOHSoNnNRHuzcWUaJnppECoO+UUi3xTEp1DGQzHcaCXa4dMCOPOYjt13sQyRB2tg8pIZLBXiqPbd269f3339++ffuhQ4fkzjfeeMPrYVlZWZJn1Jy6XrWmurp6zZo1Ts5jFmtAX3755YMGDVq4cGFeXp7Ey3feeefiiy+2e3sRbRJd3nrrrVdffVUKtgQYdadkM4noiYmJl112metWKFYdNrnh2PGccBfymIPY3nP1EMkQVhZHzaNJDWZwcncWMUzlMd2erlu3LjU11dy8yr5Xfo4fP958YC4nJ2fAgAGSaux+K75ZD3vu16/fKaecMnToUHlT0v+2e2NhP5XNJJlv27ZN+jz6fmkpVDa78MILHd79IIwh7MhjThGFNaADRCRDuPz2t7998sknI72SHuBkKo/NnTtXbn/11VebNm06++yzn3/+ea+HqVRz5MiRWbNmGQdiSdNw2223OXlFL+s5gauqquTtPP7443I7LS1N3h3nx6BJsT948KAUcq9sJj0QCTw9evS49NJLnVbyVRhLSEhYtGiRS8OYRGIuGHEa8phTRGcN6AARydB0qn95zTXXSOtl97YAtjGOH1NGjhy5bt068yOlptx5551vvvlmdnb2woULpQZJDJs/f76Tu32NDnueMWPGsGHDpPOqTgxK43LHHXfYvdVwIilLb7/99r59+yTbS4bX96tsJjHeCVM1qt6RlGdXXwPfrFkzix4+bEEec4RorgEdICIZmiiaa0ADjuV1veKSJUsmT568atWqjIwM84PlT/IAdVvNfDBixAgnHKTzp9E5gaWrINsvme2zzz6bM2fO1q1bHXvhJZxDZ7MDBw4YpwNRUzXaNY1+bIQxT0Mei/6Mx7BGHnOEKK8BHdRWEckQArUGdMeOHWtqauzeFm/SgxwyZAhFGtHhlcc8DZ0h2aneddddXo+0Zf3JJmp02HNVVVVJSclXX331zTff3HzzzfLu7N5kuI/tUzVKi7Zq1SrVI8rLy3N1GPM0XJAlb8TJB3riEHnMfk5ug9WsWUQyBGvt2rVpaWnOnAV42bJl1dXVFGlEhx4/1rlz55YtW1ZWVs6ePdvn8ujOPDBnwfY5gRGHpP/5/vvvm6dqVNnsoosuCnvMkDA2ceLEoqKimOkLye5IPivOVDsKecx+dq0BHYjY2w0hOqRFfPfddx17RQSRDFHjNX7svPPOS0pKkjzm9TB7158MjaOGPSMO+ZxG32OYqjGEkimvefLkST3HY0z2gqTbKT8d2OeMZ+Qxmzm/DY7JnREiSh01nzFjxqxZs+zeFr+IZIiOuro66S/qX/0dk3bygTmfHLKaBaD4m6pRimj37t0DmaqxoqJCmi25Ib2ygoICeeLYsWMffvhh6f/k5+dnZ2fHTGPBGjAORB6zmSuu9yCSISh9+/Z96aWX9ITdjkUkg3M4Yf3JoLju6krED5XNampqfE7V6DObqeZAr8ku3Z6nnnpq8uTJJ06ccHgPLQTSh5fA6ZwJ5OAhj9nOLW0wkQwBUjuHtLQ0aczs3pbGEcngBK44MGfk5GHPgJG/afSNUzVKeFuwYEFpaaluCGpra4cPH15VVdW+fXv5a+w1EEx57zTkMTs5Zw3oQBDJEIh77rln8eLFe/fulXbO7m0JCJEMtsvKyjKuAe18JSUlGRkZTF4Pd5FuzAcffGCeqrFt27bp6enXX3+9mqpRLcIuYUx6ufLIAQMGxF45T0xM3LJli8PPBMQV8pidXDcYmkgGay5dA5pIBhu5biCW84c9A4HwN42+mhpEzQ8sbdkLL7zgioPmQWHKe6chj9nGgWtAB4JIBgtqSIkb14AmksEualkRF51SVjNGOnM1CyBYarXMI0eOvPXWW8uXLzfOBSLZrFu3bp9//vn8+fNjLLpIk9e5c+fYO+/nXuQx27h3MDSRDD65/ai59DKvvPJKrt9ANLlxIJZbhj0DAWrWrJmUZ2m5RowYIRlsxYoV//rXv9555x3zVI1qGn09G757MeW905DH7OHGNthIRzK3DH5DFLhuwm7Adq47MOe6qUeARkk1rKio+POf/yxhbMOGDXoYp3R1/uu//kti2KeffuqVzSymanQF6YWePHnSLQNW4wF5zB4x0HPVkYyGGQpHzYGguPGUsuuGPQONWrJkyeTJkzt06PD8889fcskl6k5JLFLaJXTp63L9TdWostnFF1/ctWtXmj+EhjxmAze2wf7eCJEMCkfNgWC57sCc66YeAaxJN2bmzJkFBQUZGRktW7Z85ZVXkpOTpZCrST4sBknqbHbgwAHjdCDGafTJZggcecwGsdRzJZJBGTZs2ObNm100Ybe1ioqK9evXMzwSEeW6U8quu7oSsGAeDF9bW/vWW28dP368U6dOQV2I6G+qRolnV155pZpG3+63C0cjj9nAdW2wNSIZ3LUGdICYcRER5boDc24f9gwYRW5mMmkQ33///VdffVV6emrqfI8hm1100UVc6wsz8li0uWsN6AARyeKcWgP65ZdfTkxMtHtbwikrK0t+EskQCawBDdiltrZ2woQJkpci3WlRJ9y8spnHMFWjjdlMuqPy0y3LbMQ88li0xepgaCJZ3FJHzRMSEnbv3m33toSZKtVnn302o2UQXq4biBUzw54ByUjDhw+XdBTl7oq0lQcPHpQUZJ5Gv3v37tGfqrGsrOz48eOsIugQ5LGocuka0AEiksWnhx566L777nv22WcHDx5s97aEnyrVvXr1okgjjFgDGrCFXWHMi8pmNTU1PqdqlGwmfcVID2mRnrz8a7ccEop55LGoivnB0ESyeCPfeM+ePb/++mtpWmL1qDmRDGHXrFkzdw3EirFhz4hPatCm3LDuhuXn58vP3Nzc6GyVv2n0Iz1Vo4qmsXdhi0uRx6InTgZDE8niytq1a9PS0lasWKGGWsUqIhnCq6SkpH///m4ZORaTw54RbwIMY56Gdk1+jh49OvobKW3NBx98YJ6qUWWzzp07h3eqxmbNmll09RFN5LHocd1SMyEjksWPvn37vvTSS/Fw1JxIhrgVq8OeET9UGEtISFi0aFGjFyhJSpGfTggqehr9nTt3mqdqbHo2y8rKmjp1KvXaCchjURJvg6GJZPFAtXDSV3vwwQft3pZoUKV65MiRzC+H+BHbw54RD9RQEYkxGzZsCCTAOCePGUViqkZpvlNTU90yijW2kceixHVLzTSdQ0bNInLk+924cWNcHTWvbxDzJwMBLeaHPSO2BRvGPE7NY0Yqm73zzjvmqRpVNrvwwgutD/1LN1768HqMnDxx2LBh1HEbkceiJD4HQxPJYlhMrgENwChOhj0jVqkwJgVYOiGBX9rn/Dxm5G8afT1Vo3kafXWGQPrwP/vZzw4fPjxu3Li9e/dOnjw5PT2drppdyGPREM+DoYlksUq1c9IA9O/f3+5tARAR8TPsGTFGD5qQWLJ06dKgxom4K495vWufUzXKh9CrQdeuXeWjSEpKUuPojFPeq97a6tWr4+eCF0chj0VDnA+GJpLFHo6aqw/h1VdfZSwZYlW8DXtGzGhKGPO4OY95fQgqmx04cMA4VeM111xz5pln5uXlSTaTX4cMGaKnvK+oqJBGLQ7PHDgBeSziGAztIZLFnJKSkoyMjK1bt8ZzGmHGRcS2OBz2jBhQV1eXk5MjYWzq1KkzZ84M4VBCbOQxL3qqRmM2S0hIkI5ZeXn5FVdcccEFF0ijJlEtxt64W5DHIo7B0AqRLGZw1Nz4URDJEKvic9gzXC0sPY2YzGOahNVrr71W2m6vqRrVNPq5ublxezGXvchjkcVlXUZEsthQUVExePDg4uLi9PR0u7fFfkQyxKR4HvYMl6KPEYiysrLjx4/r5ltPo69OlOmHNWUafYSAPBZZDIb2wu4yBsg+Wr5BjpprRDLEnjgf9gzXkX7p2LFjpW2ix2VNfVA+L2+5++6727Rp06pVK/M0+t27d/c5VSPChTwWQeqyLtk7nDhxghKs6UhG+XGjHTt2DBw4cMaMGbNmzbJ7WxyESIZYwrBnuIsa6yg3GBsSiGXLllVXV3vNdOJ1p5pGv6amxjxVo5pGX3YRHJMNI/JYBDEY2h8dydh1us6YMWNKS0s5am5GJEPMYNgzXIQwFgKp4yUlJdJanXfeecePH1fT3Pub/sTfNPrJyckDBw5U0+iTzZqIPBZBDIa2QCRzI9aAtkYkQwxg2DNcRI0KSUhIWLFihex77d4cN1EzLh46dEia9U6dOgX+6fmcqlFls86dO3fr1i3wpbehkcciRX1EU6dOVQvtwYxI5jr333+/lGe+LwtEMrgdw57hFupEroSxDRs2kAFsobPZzp07vaZqvPLKK8lmgSOPRQqDoQNBJHMRddT8mmuuqaystHtbHE0i2ZYtW9g3wo1YzQJuQRhzGj1Vo3EafQ9TNQaGPBYRXO8ROCKZWyxZsmTy5MmbNm0aOnSo3dsCICIY9gznq6+vX7x4cW5ubmZm5vz58xkSEiy1aI3+NSkpKT09PSMjI4z/Qrp2hw8frq6uNk/VKNmM7GBGHosIBkMHhUjmfNL+de3a9ZRTTtm/fz9HzYFYxbBnOJy6JryoqEjCmNcMgQiQymNz5szp0qXLX/7yl0OHDu3YsSNytV5N1WjMZnT2zMhj4Sc7izPPPDMhIWH37t12b4trEMkcbsOGDSNHjly2bNkdd9xh97YAiAi1BjTDnuFYhLGwUHls69atgwYNkl/379/fo0cP/WtEyTf46aefcn2pGXks/BgMHRoimZOxBnTIcnJyhg0bRpGG8zHsGU4mnYQJEyaUl5cXFhaOGzeOMBYylcf69u3bpk0b+fXIkSMff/zxq6++SvtuI/JY+KmeK2tAh8ArklVWVso+4qOPPmrbtm1SUhJ7CruoISWsAR0aVaoXLVokRbqurm7nzp1SpFu2bHneeefJp8peAg7BsGc4me4eMLix6bzGj4mrrrpqw4YN559/flhev7i4+IUXXmjRokXHjh0nT55s99t1B/JYmDEYuon0PlcKmPRfhwwZIndK/7WkpEQ6CtOmTbN7A+MRR82bSJXqQYMGzZkzR3YObdu2lTvVBMEqp9m9gQDDnuFchLHw8rpeUeLTuHHj1qxZM2rUqKa/+HPPPSc9t/z8/CNHjjz++ONyg55bIMhjYcZg6Kbbv3//Nddcc+LECWPPQF01Llk3PT3d6/E1NTXyp0svvVS6tnZvewyShrB9+/aZmZkrV660e1tcTD693NxcafD69++v75Qd6dixY1evXm0OulKYZQc7c+bMKFzQDzDsGY5VWVk5efJkxjKEkVceE7feeqv06sNyLkv6wNITlibspptuqqur8zQsR2b3O3YB8lg4sQZ0WCxbtkwygPoMjftfdTmNOevOmDHjmWee+eabb1544QVicNhx1LzpVNHdt2+fxFqvE2LSLm7fvt28x7j88stbtmzZr1+/Bx980O7NR+xj2DOcSV1z5GFGvrBSeSwjI6NLly6dO3d+++23c3NzpW2aNGlS019c2rspU6YUFxd7IjOTfqwij4UTl3WFRbNmzU6cOLF3717zXrikpKRFixZepU56rrJnWbhw4apVq6j24cWQkrCQxu+dd94ZP368cSyZ+pM6L+G1s1VXj8yaNSsvL4+T7YgChj3DgQhjEWIePzZgwIB169aFpa2pqanZv3+/fHHyguvXr//kk0/efPNNu9+xC5DHwoaea2ikLMnPkydPvvfee3Lj9ddfnzNnztSpUyXZ6sfoolhWViY/jaVO9Vyls7tkyZLDhw9v2rTJ7jcUUzhq3kQSwKRsP//88//617969uwp96xevbq8vPzIkSN6wt+UlJTCwkLj/L8TJkyQn5MmTercuTNrDCDSGPYMByopKcnIyEhISNiwYQPTo7vI8uXLZU9SVFQke5W5c+dWVVWRxwJBHgsbLuvyyStuffTRR9ITlRs7d+6UWmrxREm26jRj9+7d9Zgxcx5TPVfpSaxbty41NTU6C2jEifr6+ssuu+yUU0554403OGoeCPnEFi9efOzYMSn2atVLVYzl15///OdyW+7p1KnTGWecceGFF+qPVJ0Q1r/W1NRIDFNDq8eMGfPBBx+88MILdr8zxDKGPcNpVIeKMOZGdXV1d9xxx/r16+V2165dJZKptg/WyGPhEbeDodXh/ybGrRYtWsgN6frLT+mqyl54ypQpPmOt9BuMf1I91549e5566qmXXHLJ2rVrc3JyGG8TLjt27Bg4cOC8efPuvfdeu7fFNtK0SD/V0zDNjPw8fvz4gQMHPN+XcPP5cHUAQoqxsQ+hLlOUp5hjrTxeCq3xRdTBxSuuuEIeLGF4165dHGVA5DDsGU6jwpjsXb0uHABiGHksPGL1si4Vtzymzqg+/O+PRdxqdPeqJp0zHxWTfbSEPWOnYe7cubm5uUuXLvU0XF9+7NixiooKjvKGSzysAW08oHDVVVcZi5y6iCshISEpKckTUkk2ktDVvn17r+vB1KyhI0eONMatfv36nXPOOf379//888/feOONgwcP3nTTTRxlQIQw7BnOoXaJRUVFmZmZ0rJzXQbiB3ksPFw6GDrkuKU7qdLFVIspqauw5EZYGvWSkpKNGzfqU2F1dXVr1qyRO7ds2WLMBtJnbdeu3VNPPaV+VafLWOwiLKqrq3v37p2dnb1w4UK7tyUMJKgfb+BVwvWBA6nCXnksvFQ/Q0rvhAkT1H+RT3jWrFkDBw40hjTZjciWGNeBmTFjxpw5c2I7FcMuDHuGcxDGEM/IY2Hg2MHQ+lKr999/X3qinoYlaD0OiFuBkE+1uLhYds1qe9LT01NTU41dUjVgzGtOxWHDhsk73bFjR3Q/6Rg0ZsyY0tJShx8193e5rDCeR5VmXpK8uh3a2a2wUJshG6Yu5ZVOsPm63HvuuUeio3H0s0pozOqBSGDYMxxCh7GpU6fOnDmTMIZ4Qx4LkUSdzZs3q2Pt27dv37t3b/QPYPuLW3K/ijEWZJcnP1u1aiXfo8eOuNV0NQ2uvPJK48eu7mSwTWgkA7/wwgvHjh37yU9+8tBDDw0dOtT2+SolcZ1zzjnGtrmsrExNUej58dkt+dmiRYuLLrpIbrRu3dqlZ5NUVPNaPVMS2llnncWSmgivuB32DKdRI2xl7+fA49pAdJDHQqFOiBUXF1999dUHDx5MSUnxRGB9DGksP/jgA0844labNm3OPfdcuWGc1Q3Q1LFJifdTpkyRojJv3jwp3pLH1q1bF9ECo2a/0CX80KFDkgY9hvlgJHHl5eX16tVLP0XK/8mTJxnkDTRRrA57hrsQxgAPeSwEEsYmT56sZ5tQg6Gl+ygRaMWKFcaOozUdtz755JOPP/7YY+iMGpfe8om4hfDKysqSoqvaQjWkRF0jWl1d3ZTr+L0GKLZo0cJ46lKqwMyZMz2Gy2J1SXbvCS7ALVw67BmxRE3fJeWwuLhYL2wDxCHyWHCkB5mUlLR69Wp1lZRxMLTktAULFuhR0U2JW5mZmaozGjNXYcHJKioqtm/frgdcrVy58rbbbistLR09enROTo4UwkCquSS39957z2uAotc0mxK3GKYCOIFjhz0jfqhC6InA5UWA65DHgiOdzmXLlkmHVf2qBkNPnTpV+qwfffTRnDlzRo4cKS2c9YsQtxAdtbW1e/bsUbelmEnL5/NAuISu1NRUdWq3vr6+a9eup5xyiprp/uDBg0VFRWrGFK+LCffu3Ws8G6zymBsHIgJxiDWgYS/CGGBEHvtBs2bN9G3pkg4ePHj69OlebVVZWdnx48f1WXV1vYfX6/hbeou4hShTxwv0r1Iaf/WrX5WUlHilMinG+vpb3UZ6Gi6L/fbbbxcvXiw13cOBAyBWsAY07FVRUSFdrISEhKBGeQAxjDz2A8lj2dnZ0mHdu3fv66+/vn79evO1HNXV1WvWrNFtmDonoGfQlr4vy8nDOVQeGzBgwCmnnPL2228fPnxY7ty0adPQoUOND8vJycnMzFQHEbyOmktNLygo0CeEAcSAuXPn5ubmep3iBqJDNUwSxvRxQADksR9IHlu6dOldd92lfr311lt79Oihf1Xq6uqGDBnitSqxouYIYuJgOIdq9nQ9zcvLmz17tvkogzxMfsqdag1o44LaJSUlX3zxBSNMgJjBGtCwEWEM8Ik89gPJY6mpqZdffrncVufHpLmSRsvrYbI3MU86p6YLl6gWSx8I3E61fNdcc400e0ePHv3LX/7iaRgG5jW4Sx1lWLRo0aZNmwoKCvQD1LWLjDABYglrQMMW0k1avHhxbm5uZmZmXl4eYQwwIo/9wDh+TJx11llFRUU333yz18NU9PI0jK5R3VY1yYeeLhxwCK/xY+L000+X0DVw4ECvR9bW1iYnJ7/++utqDWgp5Fu2bBkxYgSdNiCWqCmCPQ2z8jDNPaJGdZykTyVhrClrqACxijz2A+P1inV1dRkZGceOHXvhhRd8PrisrGz16tV6Uu8pU6bQbYXTqDxWWFjYt2/fAwcOlJSUbN26ddSoUWvWrDE/+KGHHrrvvvv0r/n5+enp6RzCBGIJa0Aj+ghjQKPIYz/wGj/2yCOPyB7E4kMAHM5r/JhU2+Tk5LfffttcqqW9PPPMMxMSEhgACcQwprlHlNXW1s6aNUvCWGFh4bhx4whjgE/ksR/o8WNt27Y9/fTT161b9+mnn/o7PwY4n3H82GmnnfbKK6+8++67N9xww3PPPef1SI6aAzGPNaARZWqes6qqKkodYI089gOv8WNXXHFFQUFB//797d4uIETm8WOtWrXatWuXWqHBSK2kd+LECQ5eArEqKyurqKjoyJEjXIeMKCCMAYEjjwExS5rDPXv26F/btGnTu3dvc+LiqDkQ81gDGtEkzcrkyZMljG3dunXQoEF2bw7gdOQxIN4xpASIeawBjahRx/jkBjP0AgEijwFxjaPmQMxjDWhEDWEMCAF5DIhrOTk5xjWgAcQe1oBGdJSUlGRkZCQkJGzYsIFhikDgyGNA/OKoORDzWAMa0aFiP2EMCAF5DIhfHDUHYl51dXXv3r1prxFRhDGgKchjQJxiDWggHkhN37VrV58+fTg5hghR171nZmYuXbqUYgaEgDwGxCnWgAYANF2zZs0IY0BTkMeAOMUa0AAAALYjjwHxiDWgAQAAnIA8BsQj1oAGAABwAvIYEHdYAxoAAMAhyGNA3FFzYe3du7dXr152bwsAAEBcI48B8YU1oAEAAJyDPAbEF9aABgAAcA7yGBBfUlJSPvzww507dzLNPQAAgO3IY0B8qaysPPfcc7t06WL3hgAAAIA8BgAAAAA2IY8BAAAAgD3IYwAAAABgD/IYAAAAANiDPAYAAAAA9iCPAQAAAIA9yGMAAAAAYA/yGAAAAADYgzwGAAAAAPYgjwEAAACAPchjAAAAAGAP8hgAAAAA2IM8BgAAAAD2II/Zr6am5tFHH/3iiy+eeOKJW2655eKLL05NTZWfdm9X4yoqKgYNGmT3ViBot99++/Hjx5966im7N8RbGEtUfn7+kSNH2rdvn5ubG/izFi1adOjQoaysrISEBLs/jMZVVVW5Yjudafny5Xv27HnyySfl9s0339y9e/eMjAxH7XilaZCfjtqk6FMVuX///qNHj/b3mLVr1+7YsePkyZPB7tOkBq1cuTKEJ8JI9tt//vOfDxw4sHPnzqSkpMTExOuvv95pfQP2ltERWiNursJjxow544wzrCt+jCGP2ay4uHjcuHHm+1etWiWdA7u3zi/ZtT388MOnnnrqH/7wB7u3BcGZMGHCsmXL5IZFBY8+2YnPmTOnU6dO4SpRt9566xNPPPG73/3u8ccfD/ApujJu3brVaZ0JL6oCyg36kSGoq6uTxl6+Za/7L7/88uzsbCfseGULH3vssdzcXOcXxUhTFXnp0qV33XWXv8c88sgjEydO9AS/T5PdzuDBg0N4IjTdoHgZP358YWGh3Vv3/ykvL1+0aFFycvLkyZPt3pZY1pRuobkKN2vWTH5aV/wYQx6zU01NjXyAb775Zvfu3aXpPeussz777LP/+Z//2bx5s8fZnUJVeYLq7MIJjG2no7ogIcQna9LhLi0tTUtLCzCxGI+MOLnqKVTAphg1atT69evlxvTp0/v06SM3Xn311XXr1smuWG6/8847tp+S0jnB+UUx0shjTjZ37lx1AYLsaW+66Sbpw3z44YfSHd+1a5en4XKDSZMm2b2NARUhNF1TWiXymIc8Zq8ZM2bMmTNHbuzevVufSa+rq+vXr9+BAwdycnIefPBBu7fRN7qDriPhf9q0aaobqjiqCxL2PBY4qXGLFy9WNVFxfieYChgyyV2pqakeU2dRd82zs7MXLlxo70aSxzTymGPpvorXYS+5PyUlRSJZUlLSjh077N5M8liUkMeaiDxmJ3UI33xaP4S+aU0DuXHllVeeffbZYdm8qqqqzz77rFOnTpdcconXn6wr3osvvvjll1/6fCJssXz5cilm6rZ8Ke+++64n+C6ItLKvvvqqzwIm3Rr5edZZZ1lfoK9KlKdhSIzXKQjrMq+Ltwhv97S8vPzhhx/euXOn3JaembqGLYROsN7CPn36NG/ePCzbFnIFhIX8/PwHHnige/fu6myYUbA7XvmCvvvuu6uuusrr/sD3xqrieEylutE8pquSxb+or69Xpyk8IdUaVd8bfReB1031SPNj9Cv43IE0PY/5+5A9jeUx/SFbvC/5kOVh0t41uveLPfrTW7NmzahRo4x/WrJkibo4MMBWJoyNi/lFrIuQLufmVslIGs333nvv9NNPl80Idg+v3oL16wdFb3NopS6QvYfYs2fP559/ft555/Xo0SOQl7VulfQ2+/y/QeWxoLq76sMPY8c4cshjNvM5Yls+1aeffrrRboEqr+vXr3/mmWeKi4vVndLPSE1NnTZtmn7YokWLpkyZ4jHtGc1NvsqHCxYskFcuKio6cOCAemRSUlJ6eroaVqGfZaReWV09LK+g75cnXnHFFdOnT3d+TYhtqkGSqCBt5AcffBD4sWT9da9atWrhwoWqSOgzt1J658yZo8uep+EbHzZsmPkaFXUFv+4dipEjR86dO1dKvrlEGY+2yovrq1+07OzsRgtVgNcr6mZAuulSa1SdCjCP6Qr417/+dfHixerOSFRAeU2J07fffrvHsgIiEGvXrn3jjTfOPPNM80QvqprccsstFuMf9He0f/9+VfLl25HCk5yc7PFVXOU1p06d6rWHN5+SNRYb9S+MjzcWSKk10v3VZcPjqzqoOaJ0mVSvf/PNN8sjrWuNLtLPP/+8sfWR1zc/d/ny5fJhWtdN/XH9/e9/11dKyz2jR49WY+S2bdumjob4286Q85jPD8GrbvrMY7JheXl5slXGCihPlApo/ATM7Z359WObfMJSFA8dOjR//vzzzz/f+Cd9BNBi16Q+fNlFDxw4UF8rrs9Oy8dbUlJiHJmm2i9V0YzMjYsuhHrfqxlbBHmi7GbV8BD917vvvtsr4ZhrnOwi5ItutI2QgjRv3jwp/MYNu/baa6Xt85iChzzMa3ibrjvG+82lTj4WebMBHnAxvxdz1fZZsOX1Ldpc61ZJ9oplZWXGz9lj6ACoXwPMY4HsYHUjLg8z7mP9lR/nII85jh7HojqIFo9Uxe7CCy/86U9/Kt2Lrl27vvXWW6qmSVlft26depi/Y4fm7qBq+Tp27Chtp/nfqYf5q3iya5Z2VP13udG6dWt5KfVXqcazZ8+2+3ONazNmzGjXrt2oUaNkfxrUtT3667788sv1+QT1hcpeW1rcU089VV5HSqC0x3/84x/VA7xO+RqHZknZ+Pzzz1UPTEqs7DFfffVVf3lMbrz33ns/+clP/v3vf0uJ+vLLL3XXzVjCfQrwXId0KOWN3HnnnWqHHkIeC3sF7NGjx759+8z/buPGjdKWkMciRPZgnTt39vjqGBn53EmqIWdS2CSknXLKKVJQ27Rpo4ur9GZWrVplvCJdzyYif7rmmmu8dpUWeey///u/P/30U/kXJ06cuOiii2SbVXmTIiFVRvWW5PWl53Hw4EFPw/GRSy655OWXXzYXS5+MRVrItr322mv6Xzz77LP6kXpLvN6s139RH1fv3r337t3r9Xb69u379ddfq9oteyf9Xjw/vmQ0tDwmryY9ZrV3ktfv1KmTz72TOY/Jpyf7KHmKfuKBBl4fskV755x5LGykyrDPs9Ca+vClrEqLoB+muj1PP/10bm5uq1atvvnmm9NOO00KpOyojQ/QL6IHfQipgO+++66+2EG+LGl6/OUxKWCyhaeffro6tyk3VPH2qq369VVVPXr0qGybp6FBlIxhcb7Lq5rLI6VKfvvtt1999dWHH37oCeBEkLnkS5SSgNeiRQv5WM4444yWLVs+88wz6k+BzADXv3//kydPhrz3kNeX/2LxVXrdqd6ghCVp5dU/lWr+xRdfVFZWqgfIP3rhhRfU7UDyWIA7WPVE+bJky9VfjfnTCcOD/SGPOcWLL74onbBXXnlFtcSNNpye74udp6EBmDVrllQndWBPHVLS9TPY7qCnoQTL3lBdgaA708ZmxnxiWu22ZCclr6AqhmzMHXfcoQYsObkOxJvQ8pinoSGU3okEJCkY8m0OGzZs8+bNPXv2vOWWW9QJMWPxU+HB+AryU8qPKga6UOmOlzk+SUxKTEz0/LjgSRMyYcIE1cgZR12ahTYgLYQ85vFTAXW/IbQKeM8993idkbaugGgiKZDqfJf1zkp/RwMGDPjNb37TvHlzNTKzvLw8JSXF8+NyLt+dfI/SGzD2POQeddJGlxDjrtLrsJexKOquoS5vHsOFYboq6VMTxufqiXysa40u0lL2JJeqf6HnbNAbbCyTekt81k39cUnTIO9ROr4S8B566CG9B5A3Ja+g/qm8rHQ3VR9LV5bQ8pieskWPEvTZOJrzmPnbMX7I+k514sVfe2f9Icc88+7dJ2PjIp9nt27dtm3bdtttt0khUcPPjGee5eOVD1zVUF2wfTYu5i/LXISkW6+uwRs6dKiUQPVlSYvz4IMPStxSBwrV/lyStufH5Vy/O+sDzVLY1F9ls6XAq7cgxXL79u3qAcHmMX0IQD4W+VTVJ2CsdNY7rpD3HsaKY/0vzK2SPsjldSxDX1ajr3RtNI8FvoPVOzH5cuW56l3cfffdqvW0PtxmL/KYU/z2t79VK+F4Gkb4FBQUNHpeVRU7Y0FUVEdZ3x9Cd9CrP3r//ffPnz/fODbXXPHU9sv+oqysTD9RdnCyM5JOvDTn5DGHCC2P+TvlZZ5Bq1+/ftKYya5w06ZNnu87gtKESGk0Xu3gNe2+OT7de++9sus0F+8ApzqIWh4zj1lXx4b1/dGpgGgK3Vlp9GS+/o68+tx6r7tx40ZjOTde8SsZQHdQvP6RnhpB3W8uG/7mTvAY8pLqLamo4FUs5ek33nijdDStd8WqSJtrq9fpDvUvunTp8te//tXnmzUXaX2ARlHp1+ucm8ewY2lKHtOHcsx7J/VG9F7FK4/5+3Y83+c0/Qmo1/GqgPL09PR0+Vjiub2TD18+FvmUpLBJE2DxOegP3+uUl791R3QV0I2R/ja9Kp3aYcoXcejQIY+vIqS+TfM5Ll1ypG2SdK230KuyS4Ro1aqV9IEtevby4j5nOlFvwRN8HtPV3N/HYpF+9WPkNR977DHjn7z2Hqoqee09dMG2vkrT3CrpvOcV5HTQ1e+u0Tzm77vW8zPpaKfz2NGjR42P7N+//86dO60vR7cXecwppOX4xz/+oVaFVvc02jNQxU7tOIz36yMcxgrmCbg7aL7GwPwK5oqnRsl7Gg6sjh49Os7nBHOy0PKYVxug0pTP6bO8hkupUvr73//ea7iO7OLVAG61m/YXn8yLeOr9r0PymPm6Yl0B9+3bd9lll4WQx7weGUgFRMj0KZGhQ4dKX9B6hJX6jsxpR3UvzHtjz/c9M1UFdF/TfKRZCvZZZ52lxp2by4bF3Alenci1a9dKL1Bt6vXXX+/1YGv+aqvPLrJUYfNb8Kqb/oq0v1eQzuKdd94pN6Tn1LdvX09IeczfiE3jG1Gfv1ce82o6jU/Uh+fVW1M9fk/DiQVp7+L5bJiRFEX5eFXe8ErgZv4aF5/HdhWvyXj8jbxS81Xo+TPMRUhVSZ9TWKvR+6rXruu1xADZKvkZYMz2Ogpjfgue4POY+tXnx6IPevq7OjSQvYfaVF0F5PavfvWroPYe/lolcyOuD3wEmMc+/PDDCy64wGO5g9UvpZ4Ylnnyoow85jg+z8v75K/v6LWbC7Y7aC6vgXQHpcLccMMN6rJjRXZ2l156aeC7MERHaHnM6wChKipdu3bt0KGDvvP48eOnnXZafX39d999980338ybN69///4Bzlrrr+xJdXj++ec/+eSTf/zjH59++qm+lt3jmDzmkAqI0OjztNKbkc6K5Gfrx/v8jvRXee211/785z9Xd0pF+OlPf+ppqBdSVKQ/IXElwNpnLhu6n2T8FydPnjz11FPlxrFjx+SG7IFnzpwp/1dCnXFXLE/s1q2bvE6ju2JVpM2dNp9d50DqpkUn0vgKb7/99ldffaWPRZpfIag8pi82MY5pMe6dPA3DWmSrvPKYfh3jE9WHLE/8+uuv5YZ6onGYjSo8EtF/+ctfDhs2LG4nrzKOEw5kOJO/yS1V99rYuOhyLjfk55dffvnaa68FviaEuQipci4t2jnnnOP1L6QkN2/eXNVWjyE+KUOHDpUvWr566wRusW36mEWweUx9LJ06derSpYvFx+Jze/QRihD2Hmlpadddd10gew+LVkk+kP3796tTDsYdRYB5LJAd7Hnnnbdhw4ZGP08nN5rkMScyn8z1yWndQfO0PArzeThKaHnM68H6sLcFVa5UKW30WKnPspeXl7d+/Xpj/0Z2wdJve+uttzzkMfJY03gNuDeOCLdgnccsqKeEnMf0Ey3o9sI8N53ic5pEI4vyr/6k+9lz587VA0IUn3XTohrOmDFDXq1jx47GV/j222/VMX59rVEIeSzwvZO/PNboEz3+27tGJ+KKSfqyN+PoJmv+Ghd9vZkFeUrT85gFY4k1z0no+fHAM4u3ZtE6BJvHAvxYfN4f7N4jtI6cz1ZJUvpDDz3UqlWrU045Rd0j1Vzi3549ezzB57FAvjLyGEIkfQIpnV5zxXp+fNLc33Od2R1Uhzxfeukl43zBgRwtQ3SEMY+p8bL+nquuvPJ3SYkXc9kzNvDyj84999zLLrvs4osvrqmpcdT4MadVQARCDW1V8yYbB4g3yjqPzZkz55e//KXPJ6qVgkLOY/oItwqQPnktcKR2xdXV1Zs3b9a7YuuaGOD5MT0sROrmdddd16VLF39101+RNk5bJ7W7ffv2auP1KzRl/Jg+KaeWiPDJ67pQrzxm8SF7LWQkH/KmTZtee+01Y3vn86qqGKZPMsuHOWvWrACv3rTOYyNHjszMzPT3XGOWNhdXL/7ymBTLESNG+HyKeV0v2WPIFy1fsZpf0eNr6L75rYU9j2VnZ//qV7+y+Fh83h9IwQ5k72FdsM2tkr7K19Nwlr5jx45qRyG83nWAeazRHWyjn6eTG03ymJ3kM5RP0jwKU58f83l9s+Zv/Ji+bEAdYvTXA/B3rX/I3UGpM15VWrZk8eLFb775JlMAO0dY8pjFBetqrUavnaO5JEvztnLlytNOO23SpElSZsxlT12eYTFBgkPymPlYg1cF9DeaJewVEAEyTlZunG0sED6/I4t5IDw/XpBUj48yT8En5eTQoUNt2rTxOZ+Hde9T/QtdaM27Yrln6tSpUlsDOcZn7srosqo2W42Ml18/+OAD48HEwA8xqH9kHrDnVXc8IeUxPbjLvItTi9LqvVPg48f0arYWH7LE1CeffPKNN95w8pwBYWcMY16nTK35a1zU5aY+Byf7bFzMwx1V4yJ/VStT+ctjPvtXXmPP5N/JV2+sqmo+VTWR5iuvvGJeDt5j2CGYWwfzymz+Kp3XsCh1jF5PlGX+WCzWmzZPeuH1RXjCsffwN82b3NiyZYsxRgY7fkw/3mcgVF+ZPlBCHkMoVH0zT2alzwxYn1byN7+imohG11t/8x/cfvvtqlyGpTvobwfn/DoQb8KSx3SjYi6iulypHpW/+RW9Zl4ylxN/ba2efcEhecw8351XBfQ3Bi+8FRABMl6mGMJ5e3/fkYoo0omUZtFraWbVk1DHpPSv5qva1Cuoh/mcX1EdpDOXN6/JTq+++uo9e/aYD4GpYulvKJdi3abo+/WlU167BV039fXJPj+uF198UT4oj68+k64UTZnPQzd55vkV9Rb6nM9Dfzvmg6Res9v52zvFW3unP5aRI0dKoxDU2LlGGxfzfliVw65du6qDKWpSUylLzzzzTPPmzfXD9NlX4/lSYxHSGdI8759xFlN9KM1rpr5AjgmqbTPXVjX/sMcUPLz6Tvpf6M3Wb8r8T9VrXnPNNXppLy+6YFvsPR599FGpfV26dHn33Xf97T2sC7a/bqE4dOiQHvbmMbT+gc+v6G8CW/3W9LoC5DGEQu/LjAvt6eqhF8Hw93Tj8keq8vhcYkXPnyMFcd68eV7rTnia0B2UPFlQUKAOpeg1TI07C31YxXodEkRTWPKYHs5uXCLGYyjS+hvXr2Bc0ai8vPyBBx6QgqFLvp62buXKlWeddZY8TF5ZXt+rg+uz3PoUzfXHjGdFdEuvO9y6AhqPH+sPyhOmChiu4hHz9Cc/duzY3/zmN+YHmC9VMvL3HemSabz60bg6kP6W9dJYehf9j3/8Q/bMqth4jWtSp+/khhQbnysISVWSt6PmP1DthY4cxmPheldsfamCuU3x+Do+qI4ken7cTzXWTa9J4bw+rvr6+jPPPNPz496h7FIee+wxf5XC2Ltau3at/N+vv/5a/ztzBdG9XmMk01uol/c07990Q2Z8or7sSidS9TBVAY3tnXq1OGnvdFf4kksukR2gVBzzY7wu7zSyaFxUKDIORTP2bfT+1rw4qhQt+WZ9Lm45dOhQVS+MOdxfbVVF3WfjpWdcMx9kNDJum66tunUwvmuVNIxr2elltTyGqqQ/ba+PRU//Zj1wUe8WAtx7GI9VBbj3MF4VqVoldU7P8+PzY7r19wSTx/TnafwufK55SB5DKIxHamVHL42EXg86kEGxqthJNT7jjDO+++67iy666EADj2muzxtvvFH/l0svvVSNdZYaqGbRCaE7qI9gKXK/caLbm2++uXXr1u+++65ePV3qJF1GhwhLHvM0xAwpA9IGn3baaVICf/azn9XW1qpv3OvCFeMUdtdcc430pdQ+2lgwdF9TqON89957r7QQUsiliW3VqlXHjh2ldsiNf//73+rCIeuRMFHLYz4roNd67roLrj4BeXdS9cJbAcNTOOKAvtbOH+syY1GuZL93SoPjx4+3adPm1FNP9bl4iaSvAQMGSBuqniJFurq6+o033vD8eL9tHL6virq0F6mpqSdOnJB7vvnmm3POOef000/Xo1l0KTJejZmUlCR9ZWONs562RP3Tbt26tWzZUoq0tPJHjhzRlVqvFTZ//nx5QV03pZsodVMilq6b1nlM3Hbbbfv375fHS6xSr/DSSy/JHuPkyZPyaXgMYdKcx8xz6JsriOyd5F+cd9558hH9rIHeOxnXxTLv39QTf/7zn8vGyObJ5/Dhhx/qhkx/erR3nh/vtP2x2JdaNC5SWh599FGpRNK4yGf7v//7v2+//bb6tP01Lqqo62/B+DBjCtInkaRMygtKbZUyLK3Y+eefv3r1avUYYzXUy8SrXbfc0JW60YlbjLv9du3aHTt27Cc/+YnUXyn5xndtnJdStkq/BdlLbN++3Vjy5WNZsWJF8+bNpdZIEZVPxl+Xz0z2HiNGjJAnenztPfQJbePeQxXswPcexjfiaThYIzFM6qbsKGSXKB9yhw4dJIb99Kc/lZolP6US6bOCjeYx9eHs27dP2tnPPvvsggsuMO5gjd8FeQwhkkqyePFir51aWlra3Xff3eigWF3spM6rY4GehjojbbbXbsJ4EMX4L9Rhe73HVMf8zGe0zQNg5AWl8ugZeNQr+JyWR+qAuobb7k8a/z+LxXnMLJpMj5+JmLKzs6X36XXUcMmSJUVFRcYpqiSxzJ07VxcMKVEZGRmbN29Wv6rj7ub2Xl78zjvvVIfEevfurTp/PvkrzNZCyGOhVUA1PVd4K2DgbzOeNTpNmXWZsS5X5qnYpDzcc889XldFytcnBVsdh9YP8yo2ehkxj+ECigDbC58VM5BmRX04UtgkhOiny7ZJz8xrYkZ/dTMvL0+eKF3J559/3uLjMtcIz/e7jptuuunll1/2WvPXePBFn8LS1cHnPs04zsfrX+g34nP/Zv52Av+Q46q901+EhdDymPprSUmJ1+v7nCDUXOmMp1A8Dd+UtD66F67/nblVMldDnzVOIr18y41e6mwu5LLxEjLvu+8+r3fttSVqp6Ge7nXYsby8XEq7bm48flocf9tjLtjSEMt/CcveQ17/jjvu0DVOffXGK0H0S6Wnpz/33HOyJRKhX3nlFZ+jrH3OBGb+rvv06SMPMM7e7G8KsdC6BNFEHnMEPVbYY5rlxoKx76hGNHosLw/Q/8X6gpzA1dbWvvXWW16vpoaWqtsWG4OYEfg3rsYNe/wXclWi2rVrp5eBUi8uRVde1mnFyWcFtMhFEaqAp59+uhppA4fQ5dxjWR6MFcfnw+rr6998883PP//cPKefFKT33nuvU6dOFmXJ+PoBNivGQ8uNFmm1pPtHH33UrVu30OqmegV5m1LlI1S7Q/gQjB9yo0+kvYuoMDYuUsw++OCD1q1be73Iiy+++OWXX1r/C2NhCHbv7dU3s7g+RW9JowVJvabaAwR7JC7A9xJyxTG3Suo/CnlfYbm6Xn/X4WpJHYI85mJBHcsHEF5UQMSYAFdvBxCaoMYLIK6Qx1yM7iBgIyogYgx5DIgo8hj8IY+5GN1BwEZUQMQY8hgQUeQx+EMeczG6g4CNqICIMf6GwgMIi6Dm00JcIY8BAAAAgD3IYwAAAABgD/IYAAAAANiDPAYAAAAA9iCPAQAAAIA9yGMAAAAAYA/yGAAAAADYgzwGAAAAAPYgjwEAAACAPchjAAAAAGAP8hgAAAAA2IM8BgAAAAD2II8BAAAAgD3IYwAAAABgj8rKyj59+mzdunXQoEFefyKPAQAAAEAElZWVjRgx4tChQ126dPH6k1Ueq62tbd++fWFh4fjx4+1+CwAAAADgSiHmMdGsWbOpU6fOnz/f7rcAAAAAAK60bNmyCRMmhJLHEhMT27Vrt3HjRrvfAgAAAAC4UlZWVlFRkc/k1Ugey8nJKSgoOHHiRPPmze1+FwAAAADgPhZXHTaSx0pKSjIyMnyeWQMAAAAAWFOzJBYXF6enp5v/2kgeUzMzMqUHAAAAAIRAneLatWvXddddZ/5rI3msvr4+KSlJbuzevdvuNwIAAAAALpOSklJeXu5vCFgjeczz/WQge/fu7dWrl93vBQAAAABcQy0hlp+fP23aNJ8PaDyPqesdmfUeAAAAAIKiTm75u1jRE0ge83w/yyKzegAAAABAgOrq6lq3bp2cnGyxflhAeYxTZAAAAAAQlEZPjnkCzGOe70+Rbd26ddCgQXa/LwAAAABwNHVOy/rkmCfwPKYGoiUkJGzZsuXss8+2+90BAAAAgEPV19enpaWVl5c3OuYr0DwmysrKRowYwVWLAAAAAGBBrTnmbw1ooyDymMjKyioqKgrkdQEAAAAgDlVWVvbp0yc5Obm0tNTnmmNGweWx2tra4cOHV1VVWQ9KAwAAAIA4VF1d3bt374SEhA0bNlxwwQWNPj64POb5fiCZ3CCSAQAAAIAWwumroPOY5/sTcB4iGQAAAAA0CC0lhZLHPA2n4W677TZJfoWFhePHj7f7vQMAAACAbdTch57gT1mFmMc8hpNxmZmZeXl5gVwcCQAAAACxpK6ubv78+QUFBYGPGTMKPY95GqbVnzlzpvrfs2fPZqloAAAAAPGjsrJy8uTJ6hyVpLIQFmpuUh5TKioqZsyYIRshqSwnJ2fIkCGNzuoIAAAAAC5VX1+/d+/eBQsWlJeXy69/+tOffv3rX4f2UmHIY56Gk3Rr1qyZMGGC3JZUlp6efsMNN1gvRA0AAAAA7lJbWysZrKSkpKqqSn4tLCxMTk5uytCt8OQxRVLZzp0758+frzZOtmzgwIFt27a97LLLzjjjDAaYAQAAAHAXyThHjx7dv3//Rx99tG3bNnVCTJ2CSk1NDeECRS/hzGNadXX1s88+m5uba8tHBgAAAACRkJ+f369fvzAu+hWRPKbV1tYePnz4448/PnTo0LFjx6LxCQEAAABAmLRq1eoXv/hFmzZtOnToEIkr/iKbxwAAAAAA/pDHAAAAAMAe5DEAAAAAsAd5DAAAAADsQR4DAAAAAHuQxwAAAADAHuQxAAAAALDH/wNX43uFYfezOgAAAABJRU5ErkJggg==)