Mathematics
Grade10
Easy
Question
Escape velocity is the velocity at which an object must be travelling to leave a star or planet without falling back to its surface or into orbit. Escape velocity, v, depends on the gravitational constant, G, the mass, M, and radius, r, of the star or planet ![straight V space equals space square root of fraction numerator 2 GM over denominator straight r end fraction end root](data:image/png;base64,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)
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HfD0eUJtMBFJ5TrI0Tf7cmzMgPYzI9wGTXmeycyb4r9rsbO8Qqm90xUXaZo1miU0HEfSZ9j7QOqKisYM6cObS1tZFKpQiCgJGRUdrb99LX2+s4GsewGVCi0EQ6q8l0K8X0KzMF+e0KwxCDobGxnosvuZDXXf9qLr30EubMbcHzBK0Dx/nqhA4yJyrn3hcSkSQHdFoRmOKTNcpjopRCiU8mE7Jj+y7uu/9+7r/vQV58YRtjoxmUZ7mZSF615tXDb9+nv2Vk5kGMcdEJEacVfX9iWPOIsESirtaa5uZGVp67EoCx0TFEFHW19cyZ10pNTRWPPvYIz65/Dq2teK3ECs6WNhd6R+c9nXudiQRmIrQx6DBLqAOqqss599xzuOGG13LtK69h0aKFeL4QBM6iBjGhjrjA3PMezmp27DgFHEz+AEbKW89ThIFmywsv8j+/fID773uI7dt3kMlm8Z0ZOuoE60kbolRS+SoF17Z/BnFOU7OYNuRF45lY9zGV7AzHdDttnJ7C3mDu3LmsOu9c9nbsYfu27WQyGTxVQmVZJS1zGrjuddeyYsVZ3HP3/fz6occZHR23vJZoEMXE8IvTBUmRJmn8AMS4VBJZSkp9Vqw4i+uuexWvf8MNLFmyCOXZ362ZOzJvF9NFJj8ffx+dZAITNTinXIxiXrZt287Pf3YXd99zH7t27CObDa1XY8R+i5eISgbQiIqUkFGHJywlGCuLiqEkVYLnTY+JeRZEQj1WKLITN8hYL1lPJaOxp2dqRYRFG0NrczMXXnghO3fvYPu27XYLEcFoQRmFeCENzXW86U1v4LJLr+DJJ5/h/vvup3NfJ1prNJFT5mlKYGL/KTvfo76JdFPWKTDA933q6qppm9PC9TdcxxvfeCMLFswDNGEc3T3ZfaZPVDyhBCZPQRU7yFmuQymflF9CZ2cXP73zLn70w5+wbdsOwhB8L4XgFZWVc5tn1NmQy3hmxaYQS6nnzGlh+Vln0tLaTF1tLaIUZja14bTCGOjrG6DrQDfbtu1k//6DKOUjGArd6Y/Z89lYa2BFeQVXXnUlhw4eYuPG5wuuabVBWmtCY5gzr43bbruFa655BY8+8hg//cnP2dveYTmY03b4IxcDcfNexdx5vue5oba2lpraKvbt24Mh4Nxzz+Ztb7+V173utTQ3NxGEGZdGQifOjzB9aoUTRmAK4zRyk83g+SnGRjI8+MDDfPvb32Xt2g2EWY0xNrDMXaHIVYvJh9Y6ADZVIhJiCLnggnO55a1vZvXqVbS0NlNeWka051rv2JOn4j3c7xQccyQVb/K7U6fiNYnrCmNjGQ4d6Gb9+o3c+dO7eHb9BoJAo8jF7Ngd9tgUhgarM7jooosoLy/nyaeeJJsOCtwNQsQYtPOONqJZuXIZ77v9XZy5eDG//MX/8Iuf/Yqevj5cjg2maxGdNEhB0jADxZ4jSifieYogyBC6GKiKijIuv/xS3v3ud3LVK66grCxFEGaxaUQKvcmnJ6/MCYumTu5euTgiD88rZfvW7Xzta1/nnnvuZ3hoDKVSID6CNVcrdRialzfjCzpXrL/AqlVn8zsfuJ1Xv/oaGhtq8RPjcZpNqRmJYgRx4fw2lpx5Bq1tLfzbv32DNU+tRfBiy8XxcI061MybN5+2tjaeeOIJMumMy02chDXXiyi7VLSwc2c7jz/+JAvnz+Oii85j+9YXeOzxNa7NSR+gyax8Mwwx65Vsb/F+DcOQIAis8UR8lHiMjWZ58MFHeHb9Jt500+v5wAffz4IF8wjCdMIpdXqbfMIITCFr7HkeYSA8tWYt37jjW9z/wENOz5IClHOAO5rBnTgxjNZUVZVz9TVXsvri82lsrEUZy9kI5CKji3TisU6xYhxC8hqHM44X4zIK2zBVbcaRuJ9ixxe2udi9C98LxKJodLR1BhQaGmpYfcl5bNt+FVtf3EZ/74hNM5pItHS0hMYYQyrls3DhQnp6eqybQtFrWNEnuo9SQjqdZcf23ezds48li+YjkgWJUmCYSTmAmUtkpsZ1RQGQOe5RXLBmCgR6ewb5wQ/uZHh4mPfd/h5WrlyOp7xYN2MxPdux9+cf/dinj/sqBUhOJhGF76c4eKiL73z7+3z5S//MM888B9rDUz42Kjg5lQ/nyl/MYuTSH2LQJuDC1efxrnfdxrkrV+ApQdBInJrAQJSGAWu2tFeSw97lcH8kWi4mjK+Q/D2nMkv6ieQfM9mTRgOda2vU9ontEFN4PV1wfPJ5rbhqCYbE7UveI9eO6NiIFYyFTXdDbVsoQlVVJeXl5eze3cHuXXvyHBuPnouxZUvmzJ3LkiVL2LBhA8PDwyhRzrEydz2b2Nu2UIntDKMNYTrDyOAgK85azIb1T9Cx/yChjjIF5vdysvdnJqd7pJkIUZ+J2NHMPSco5YOxibOymYAXXniBZ55eizHCosWLqKyoTDAG0yNCHieBKZRlxZnB7CJWykNJivXPbOLvvvCPfPe/fkxPT59LzJPvVRix0aKm9lC5uwrGiUYVlaW84cbXcuON11FfW4VCo0Qjxk5+RKypEo1BIRJauVbE5ck17nPUqOLcQORQZhA0kNVWevXIYMTV1nHKZK3sZzEGLZoQQ2T8ErEEzwBanA7JCKEYRyw0oRhHmLRjHQwSscruRRvQRmz6SwyhqIQ+yvp+CIAjgAZBi8EQIqFdrNqz97E2vhBjVKxpEefQZ9xzirikW4hN64tCGQPKOrNVVlYwMDjM2vXPMjY2hq98jDY2x3De+Lk+Tz5M3Nc2ajiVSnHBBRcy0D/Itm3bsMXpXLuSBEsMRgzKeHgatDiHzbEx+g51smTRXJY1lvHcuo1ktI8RQccKUoMRjVbWv2d6ltZRQuPGVdmkU4fdaA+HaDtRuU1CiDdxkWht2rV76FAXT695hr1793PGwkW0trVgiVQIUX5oyFN5HE27jtPHW8d/ljmI5G3raZtOB3zvuz/iwx/+CPfe8xBBYPD9lDs3amzBJY+ROzXG0NBQz8pVK6mrrbacSvxrtAc7s5sjbq66je1EU4yUFECi57WpIkLRhEajTIivQ7QpQesUBo1W7n46sGQoTmQlGFdRwLgcLMYIogVlBO34DGNC0ApBEUqAJgTjIdpDixCIQaPd9cQuVOWisrE8hTEeOhSELEJoCYsxzvimCBwhFdGuvIfl8oyJCE0WGGfTzl1s3nsIBDwZJ5sdZc3mrXT2DuIT9WVEFA3VlRWcc+7ZtM5pBYFQh6ii8VKF/Z4byyiXypw5bdTX1bN9+/ZcYbkiw2MEtDJkPQiUECoI0QRGk82EPHXfA6Q62mkrh9CMoYzBMzk+Vozga/A0HE4FeCJgjIlGHVwqhuOzdBY71839xD1B8L1SxkbT/Oynd/HHf/yn3PXz/0GH4ClnycVO3Sht6NHiKAmMKfKX/5sxgu+V0NPdzxf/9v/yV5//W3bs2I3y1HF22uEhAg0NDbS0NMelJAyAsQtSx/KMSzAlhgBxi8pOMNHuFXGZ5nK0J/JcjQUHIyhj7Ve+spxPXN5Epaz4JwKk0KLs8jYZUuK8KEUh4mNEoTzcn8L3wBfBuPPFgKc9m7TaTcMAyEYssNEo4+JtcjILSqLJ6qGkFJSPVgotvuW2BEpJWXWE41DEOtJHghNIhofv+Rnve///5jt33o9Bgx7lP/7lK7zrt/8Xzzy3GRfdgVbK7sIh+J5HfX0dbW2tTiSNss0UG//J+YVUKsXSpcvo7Oykt7c3js0pNo+UNqQ0KBMRDIPxYNRTDCnFlm3b6N+zk3PayqlUY1jHOw+tLMentOV8PEOOQzxJsNU/DSiXyN0F6Z4MXVAkaYCw+fkX+cQnPsNX/+lfGR5Ko1SJXR+o2PP3aNfwUSp5iz1wgk8QRUmqlJ079/D5z32B++57CK3B90utN+YJhdiaxiWliW8MBuWIS2SKy+kRJqZOdAuroKkRKY2Yz8g7OKefUCiVJZPu4d5f3cOL2/ZTVt/GNa99FSsWzbML2oCnDMMDB7nrZ/eyq3OAhtZFvP7GK9i/dSMb1j2LTvkYVUpJRSOvfO11LGhtQIUaD98qwf2olTpRiixElIuxCVKWBXbchPKE9Ogw9937MGWNrVx85WpKPIOHZtPax7jvoUcpqWzi5ltvpbWpHkVoxUk8BEUmk2HL5o1INotOW7FoaGCI5zdvwE9Vkc7YjtJojCStMpDyPcrKyh2H5DgFJ0Yded1YLqq5uZnGxkY2bnh4QrqNwomuDHhOFlQYTGgINASezwjQn81ycGCAKxa2sbNzhLUDWcJUCaFALvpax3qykwoX3GuMtqKbtmZmoCiHN223TfSn59LG9vUO8pWv/DN793byZ3/+J7S1NZIN0sSVLCaYEoTDDehxW5FySiFFyi/j+U0v8ImPf4Ynn1xLSaoUTymbOKnA6eqEIdKbiDjdhkYZz1qTxBAqjWec6c4djxDrKSTuyLxLEilB7TUtRyTGoIxGERKODvPFv/4C3/zBnZyxdAWhKaFpwXxWLppn2XGBzEAfH/+TD/OrhzexbOVK0uF6Vq2aywsbNvDf3/0xXgUM9vSxp7eUby07m/mtDRhHMLLj42x4ag2LVp5PU12dzTyNBi9gy8YXGfIqOfecZZTqAA8DIqT7u/inL/4Nf//P3+Gym97H1y+7gCrPsPW5p/joH36YoZJyDh46xMMbt3LHV75IlQoxShCTstxIaR23f+j36dWNjAXjaC2U1bXx6b/+Kzo/egfZrFNqi7GK9KRKRCLx1/nAYLnGqRAXW99IceaZZ9Ld3U1PT09MUCJfmkJOJlRCFjBiSGk7xikEjCbAkA59Ooc9rskI5zfU81z/kBUzJQqGNVbkFZPQXpwcGKMpK02xcOF8Qg3te/bGJmaL3AycTq4mF0SaI9q+X0YYZPjxj35Od3cvn/rUR1l85kKCbMY15XC2z4k4ZgITue1bwqFIpUpZt24Df/5nH2Pz81spKSm3izVOJxBlk5sumIJXx2HkKQAVYgzoaF9SeGjSI/3s2NNHqqycuupyjFJU1dfhiQ3o98hxN8kmi6NetjJFwgNSsqxd8xvu+PE9fPDDn+ZPPvhusuPjhKF2etkQVJZ7f/5jfnXv0/zF17/Be6+/hoGRIXyluOL8S3nf7/whnjfCV7/4Jf71l5tobm3EgGXfEUSP8/P//jf6/SY+8/m/or6yAgQ2PfIgn/zMF7np9/6UC85ZhuBbcUSybNrwDN/7wZ00NtZhAkd4TB93/eJnHPTa+K/vfpPtT/2cD3zy3/nyV/6NoHMDQ8ZDGZ8w8Djn0ov57Xe9AVXi2cJsGDQl1NU1WZ1QpGTWxopKydhTiTi+o1us1mvX0NDQwNy5c3n88ccJwzDhgElifJOzQVluRDShWJU7Ap4JUEajdYptvULncEhTQxPle8fJaqvcjUvPisYoq9cSc5zqyaN5Zmwd7bq6erKBxvM6yWazifUyca4fL5L9p2LHQ3sLT5VgTMiDD/yG0dERPve5T3L2OcvJZMais6d8nykSmGJsUBREKKT8EtY8tZaPfuQv2LJlK6Wp8pwZ/YRuBTnhpfhvGtEGlE3qrQR6O/byyT/7GA9u2kZpZSmj3X3ceNPNfOLzn6Ky1HasMZrNGzcyMDCIEt/pKJwBMAypb2pl6dKlpDzlKLpi48Z1VDfVcMHK5Txw/0Ocde5KFra2uEjgAMJBHnpqHUsvewXNteXcd/+DXLD6fKrrGzEaPN9jtGeAxx9+nCuuuJpFC+c5HZKgTUiqspwPf+KzfOZPP8JnP/4JPvb5v6Rjwzo++6m/5/p3vZ933nQDKW2tURir0F22+hV8+wf/xff+8ctsGB3FiCI7MsrGF17gnCuuZFFLNS0XX0BzeQ1Zv5IPfeIvyY6P4mkwWlFSUYogjOGRVj5gKBEIA0NI1lkaLNmeOPWnOvBJjtFamnSoWbJkCWNjYxw4cGBKHsCeVnYyi40/yyrLQikMygihV057EHD/wV4WLFyIGI+S0CbyDkSjnKHCN1EViZMHEWFkdJydOwO+qjMAACAASURBVHZjwBGXqZTumS4UriGbYtb3hMcfX8NHP/op/uqvP8NZZy0lNBmUMGVp5Cg5mBx7ah13BE+VsG7ts3z6k3/Jiy/soCRV7ho4/Szd0SEy9VkWWVCQ6ec/7/gXfr1pL3//pS8ysncj///Hv0TNnEVUlZZYkQcDWnP/ffeyfdsOfL+E0BiMKIwImXSa8y+/irlnLqZCWQ6thBR+oOnauolPf+IjZIf6aZp7Bh//wt9x+dlLbb8F4Blh05on+MLHOhnr6mTh+av5u7//AgvbWoGAdWueYFdHFx/4vcuo9CClrfOgEUErn5o5i/jEX/8Vf/fJz/KZD/5/dAaG177/A9z+zrejPCEMneXM7cpVlbUsW7EK4wuBBBgRRJdA6NPU3IQmS3VlNTUVtZSVldFSW4uuqUFpjfGi5OhZDLbSgZ2GoZ18ZECnAbAl3IooX52p36q1pjYPjDFUVFSwaNEitm7dSjqdds6YUxlvqxTXrvgZxuWr0aCMIusLT3UP0U43gUpZK6wxzoXAiscSlZY9iTKSuMTfPT19VsEuIOKd5KVTxEokipRfzjNPP8unP/lZPvu5T7LsrCVonZ3yVY9RRLI+Br5fypYtL/L5z/8NGzdsIeWXA5Are3nqENHkUHmItjqQ/kP7uf/B+7j+HR/khtdcy/qHe2lbsIglZ59tO8KEsf7itltvZWR4DPGtpcdgnFRkKK2tI5XyEztdSKg14341v/P7f8Q5tfD7f/jH/PyX93LxiqWI+HiiMGEW/BL+/LOfIdW7h//9Bx/hlw8+ym+/8xZS4wM8+tCjlLYt4bKLL8Im0LS5TDQhoRM16xcs4qY338iHfvdDtFzzOq59/Y34nuTKWiB4xlpsNJB1qUBSGOtKgzVvZ4MQY3y08slqjYpEPm2N59pkUFgX87baKkbLlWPZLaE5o6mR+io73oI1gGjnS6QSWoyjXSNaa9ra2qisrKS9vd1mLJzCeaEysYhs+8CK8Qofz9jFGkiaESrYeWgU/BQmpZylTTv9WpRk3UyZIE4HDFg3BeWdRDVzwgdpMnHQiA3JUPDYY0/xN3/zd3zms59gwcK5hGFQ/JwCTJnA5ORUO4ieKqGj4wBf/oevsmbNs3h+KdF2dVxlVY8GsVnWTebYvBf9Fi1Tm6+1+9B+giDknAtWANB14AB+WRlLlyy2Fv9EfMuPfvAjNm7chEqlYguJCg2BDjn/FVfzvve+k1SqxPnKAjpD4+IlvPK661ng93Hx6gsYGRrBhBrPt85hOhjj7PPOZ/VVV1CTPouLlv8rfb39hMDgvj08+vhazr/uncxtqSfyOjauD32jEUmx/qF7+Np3vsu7P/Jxdu/ey9e/8AX+4MN/xBnNzaAD++DG7vgK8FRgRyWyRiiD53sM9g+D+IwODzM23o+knO4qEkdM5LtjeO9tbyE0nmPbPTxVyif/7I9JlZbFRU8j5N5HizQKJYh+LK4kNPFBsGyZNU0PDQ0dlQZHi4l9WKwGzm4ztg9DFILBB89DG6t/yaUGd/NoSoro6YUAJJ0QZaIS+4TgCM8Zpa5VSpFSZfz6oUf5x3/8Fz76kT+ltr4KY5LVMIrNAjM1ApMsym1fPYaHR/n3f/8m9937MB5lLuft0WmYjx1O/MGSD208IHT0JtEGYydZgCLy8VBaobIBXT0d/OQXd1NeX0trS03iHLvA3nX7+8lksnmDLNoQEkBlNSnf1tkxxgNJ0drUQtDfw45tL1BWBzvbD7JyRQW9h/axeVs7F567hIVz5/Dws0+yf98B+kYO0H6wm8sryigHHn7mafb1j/Ceqy6kwvMg1JZWeDZC2A8Dnv31PXzpy//ElW+5ldtvv53h3Tv46099mv/7t1/iQ3/yxyxpbUKZrF1QxnMLJ7S7ogjKGFKllSxfehY/+c3j7Ot8B3ueeoa+oR5WrFwWd4Gg8KWEiA+srqhK9L2PiEd9Tc4dIDLH5avFXeCc86iN3BRyfI2z8mnn7ihgtKa+vp6mpiaefvppwjB0vi8TlbqFsFJRxLc6Ud7NBUPgaIdP5Gjgxce7tibn1qlgviVfjDzxEsBUFKRRgUOF4KG14ac/+SUL5p/B73zgPZSWKbQJ3Mgng09zBGaKqvIk4bDepb+8625+9MMfEwQhyvNOumLMYAln7J1LztU9mlZxYirsFKpvW0RNTQv/8rnP8/EP/R/u/fVTLDrnHCqqy3MXdp5jDU1NtM2dQ+uctvivZd4c5sxbQEtdHSmcM57blS+6+tUsn7eAP/nQH/D+//VHDIwFXH/1RTz7xH389gf/gCc27eFNt9xGeTDE7//2+/k/H/hdVNN8rrzycsJML/c98Bj1c8/kwlVnOeFGMMrloVWK8dFR7r37F1z15pu5/T3voVxD8xmL+Nin/gJvaIT7H32SrNNBhJIl44UEgDYpTGgwmXGU1pCq5fVveBO1wSF+93d/j499/itcdvkVvOKic5k4iJNNwiNP/lhcMU66F+LFnXdcbIm0iZAWLFiAUoqOjr3Of6Yw89pUMFn7Tq3YfvohR6zBxjKl0wHfuOObPPKbx/G9UqKqqPnjmluFU8oHkwvlttUE77zzZ3zhb77EoQO9eF4puBSERxcNfXyISElU9TDUWS66dBWf+vRHuOqyC7FBjo7kaA/MOMPDfXQeGKL3wEE2rH2cL3/rp/zhpz/Fe99yA5GANxk0mtCECD5KC8oVyTKe1c94YcCBfd3s2LuPQBna5sxh8YIWRnq62NrZz+IlZ9JSnWLvrp3s2bcfpVK0LVzKgjlz0OEIO3bvRvxqzlw8Hx/r04GIFY1MhsAY+vuHqK6poTRVRqA1IiG+EgZ7B8niU19bYxW8mFgJpQnobN/JSJBi8eKllPgaCbN07Gmn/eBBjJSzbNkSWhrqrRfzFNZgcpSl4FOE57fu4rN/+WXu/dW9+HiI8542yop+tsRrpFq0rHhlVQU33XQTmzdvZv369YjYzexU6/NmkczXqwnCDPPmt/K5v/wUr3rVNWiTZTJr7hR1MFEIQIodO/Zwx398m879h0ilKohSIJxM4lLYtkh1OTo6xujoKKE2+E6O1QhKDOHYOP/4xX9g/0iGJXNa+dXPf8XyVRfw6isvpWwKdxFyRV4jhYI1kmiy4mFUKW0L59F2xvy4VdoY6lrmc1nrQjQQGMOCJStYsGRFfN1Qa3xVwdln2QTWNtAtxCdnRdDKiqVNTS1IaI8xyprHtTHUNNSAq2+tUXgh1lTta7T4LFh8tlV4G+zi9nwWLF7OgsXLXSu000kcrYNZgl90RCO6Rno8y/DQcPwMUbhAXp8KbhOwHMz8+fNJpVLs2bMHY4wrnmdOjj5iFpNA5b03BnyvhD3tHXz1n/6VVavOp6WlliDMEHMtSR+bqd3ExthkMiE/vfMXvLBlGyUlZXEA26kjLvno7e2lo+MA4+kMiFXuBU7hrJTPqpXnU53yad+/n9feciuf+4s/ZVFrI5HT3OEQC4dOTWPTouY6MlDWXwU9jjYBgTtHRIPOgnMDD8EpcJ1jurLR20ZrQkIX1R2iRDuFpYD4lk9z5xkBT0KUYB3CtCYrmkCcgtALXJVbHw8vDsRWolFiHeZCsJ6vJuuImnNKPAZEbgsaSwzGswGdBw7Rub/TqTSKe3HHwq3ReJ7PggUL6O/vZ2BgIM4jc7zJqmZxvJgoNhugpKScdes28Mu77rYpUnNa/LyxnrIVSYnHjh07+NlPf0EQGFJ+kUqEJxGF2VSUKHp6+li37jmuecXlLFk8DxGDb7JI6EOqkhvf9k6uu/kWgnCcVEUFpVKKCYmjmw8LF/Eo2DABazW2q11hs6iZRJyNMjjTr8KmTcg5uhrXbcr5Ehlx6QXApj1wyZNstn6nzI4qP4pNp5AjeTm9U0SEQjEoo1A6J/KEEl3b/imJLCw2iFKZ0Ol+onE9Uv8n3lttLqGxiZ56evpZs2YtBzsPEkXX69gsGplGrVpYCNFoqmtqaW1tZcuWLWSzWXzfd/WfomJ8R2zSLE4Iiog+UVqJIOT73/sR11//SubMa3HlUfL23alxMHbjVDzyyKPs2t2O77LQ5XByIj+LIbZZiJAZD1i/fgPPb9lKOh0iRiGhgGirhhGhrKycssoaEIUOdRS8OsU7FVbAixY5pIiInufe2T6xjlOSMIeahDLVxFYr6xIWqctyxIRIn2KUO9wmfhajXJ4b5TgcNwZi8Iz1QzHK2Pw0eWPjituZZOR09DzHDq0tJxZoeGH7Lp58ag2jIyO2T5yyveg9nIK3vr6eiooKOjo6rOVI2zpZsxzMTIBO/OUMPp6XYtOmLax5eh2e8mOJJgzDmIuZEoHxPJ/hoWEee/Rx0IKITy4ClVOqnI/8HQSFUh67d+7hkUcep33PXuv54JdCykMkROkQE2owCs+yAmiZYgIQwYYM2NNyJllRMbcSkRoRlzEtwRmJCCmMTbrgcrBEYhwxcVFo8Zwew97Lclc5E2AUY6UTi86IVXV7jkkQV9bCckGaOA5RIgLooZ1I5DlCI+JhJFly5PBdkf/JitAYoWNfJ48//iQvbt0KiM0+hyvdOyF+yCnqRZg7dy4jIyOMjIzkmaWjBGazmBmwwyjuvfVkf+D+B8lkMo7jJC7nHG2VR4Tn+ax95gmeWbMe3ytxJmKNYDOonQLfpBjJ+3oijI2O8tOf/Jzs+Dg33/xGFixeQH1dNdXlZVYsca7jRoS0gCjrHyI57e2U7iWRbgGs4tSAURLrSLQTABDtdnEhMpnnuAYhdIyKZ2xWOu3WoTIuRZTjfnCJ9owRtBM5PFdCVovgA77ncrAqjeA5icRSF+Xyx1jxzDiSZnekTCaLUdaRTmKFqr22dfrKdY21yuUmmdaasfFxBgeHaW/fz12/vJtf3PUr+nsHXUpUrPWIiHFL9rFNUVBdXc3ChQvYs2cPo6Ojtr5PInuaSTbgJCGiadY72o1hjEg8f3kSvqTS3fd9Hn3kCZ57bhMXX3whmewYOe5epkZgwiDk3rvvZ3BgmNLSSkKjLfuNcXK/JBbNyYWbhvEHTxTdB3v57nd/zPpnn+eyyy9izrw2qqqq4108zkAr0aKNJlBuYSWvnrtX7hljhWjePMtdl1hBGyeeTMzaXJsjocgSaXeiJIgXka4n+pCwxpjoV0N9fTWrLzyPhfPn4kWVL7FuBaKxSt9IbyQ4rZGQCTSPPfU0e/Z1MjoyRspLWb1QHjWNhTuXljJqq7338MgoB/Yf4pmn17F54xYbPxRzcYnL5H+wtj+taW1tpby8gn379qG1tsXbkg6Op0REEhd4GbgqJ/l9Hh3zciQyhZHY3d19PPjAI6xefSFKKbQOiPj8IxIYEcXQ4CiPPfEUvudZg4tYz1iDjeWIk+KcclHZDnYqlSKbCXlu/Qae2/Ac5RWllJaWopRN5pMfBh8nTTzKexUSocNNtiThOpoJOdnxuesZIDSauroabnrDjbzxjTew6tyzKS9NuZgw56pfkBAqIlOe8qmvb+DBhx7mBz/4CaOjaXxlE05FvSMuL7BJPLJC4hCKdDpLejyDduJnnGvnSByhMfi+x7x5cxkbG+NQ1yEnx5+8VAlF24XzYDXKzZliNZ1efoSlGKzIpHjqqTX09PRR31AJRFzOFKxIvpfi+U3rOXCgEzzPsoviYYyPMqFVlsZa0lNLYUSSG70NHjNGMzacYXRoHMhn75LEYabmkT8SjCMVvYf6+Od/voNtW3fxjne8lcsvX01Lc711DpQkh+bOc4/uCaw8ezlj17+O9t37+Mmdv0Brgy85a1KO47OcVDIRUmSiFGxgnHIlfvOLs02O0tIy5syZQ1dXF+Nj4xP0NKcCgkaHWTt/EDffo0DKyBI2sU9fnrDjvm3rdg4cOEBj03LHwTgR6kine57Pc89uYmw8i6esrQRj82dEjLMVCU79EjVxPkaDKKtPMJG8Il6csvHUt3T6oGNK4ZHNaH71q3vZ3b6bt739Fq677pWceeZCSvyIG4G4f4TYQ9tXiosuPI/3vffdDA2N8cCDv0YZAaNy3rSREoiISOcUz55bgHEeZKfnmQoH09zcRFVVFRs2bCQMbFrOUz08SgkN9XWk0xnGRrNok1PD50ztJse5v9whwujoOJs2bmbluWc5jtn+dFgCIwJBELB79x6yGY0qMxgC59+h8VMlBKENxpMjz6cTjlyKAHG1ccDoMI+rmfTcGbBzTgVJi0rEhkbqHZuWUrFp44scPPgv7Ni+m5vefCMXXXQejbXVNu+Jq1sAsWoFxFCW8rnskgsZft+7GR0Z4aknbQVEGw/kLDmxCsmL+zonOtiUGNajlzgK/HDtFxHa2loJgoCenh5rRzuF42DcyqiqrOSiiy6go6OTF1/YwSmf2DMcgiKTzrJjx05nNbRcIByRwCiGh4fp7DyAEkHwqK4upUSFpHxbznPLi3sZHZ8B1CVGfkjdkQnH6StLS+TaLzmBRBBSKVvV4fvf/TG7drXz1ltu4tprr2L+vDZSvocxIUQ5e+KctFBVWcpVV61maPBtDA8PsnHDZqxm2Ce/XJUTDhLfqUifm+fVXbzvI8tQWVkZra2tDAwMMDg4mFBrJ5HUcZ1YRHNldGyMXbvaGRocdtYvG3BqouZEVH0WAIh4hGGagwcPEuowr2eOQGCE0ZFR+rp78VQKo6G8LMXrXnMlrc2V9PYOsnP3bsYyagavUymic8nH6eRmUUzZGHMyuOTlBnzPJ5sNefQ3T7J/Xye7du3ihhtey8pzllNdXeF0Ny6I1V0HoKG+hle+6hUMDA7yH6PfZPeuvZaAmRxRMVYRE3+Xa0lka4JiCzCp/9JaU1NbS319PVu3biWTyTAxTSTEtWNOIApjnbJByM6de61fhyiXI8dVr0xa9GYBRFyporevn+HhESoqSnLi9+FOFBGy2TRjYyOxl97I0CBVVR4XnH8G+/Z1cfll5/HoE7sYHhov2L1mClRiqkd5y5LI5S05LTCBGqqE8lHjYQiN9cJRKLQYdu7YzR3f+Dbbd+7irbfcxJVXXkpzYz0ifm6tOFEJNG2tTdx4w2sYGhrhW9/6bzr3H8L3Unn9mE9AkryHiolMsR5Nikgtzc14ns+BAwfczqdiPuxkr+K8qoVGuaBWR3qNttUtTcLlwGUQmAVEJv3x8XEy6TSVlSXxND2ikjcMNUE263Yvj3nz5zI0NMbWbe107O1k85atpMfDE05c8stWOhOtUyYl15xEyqAizYkdvYoRk9NmrhS2XfL+N0KuQJmyDnuIx9DgKPfc/QAde/exe3cHr33ttSxfuojSVERknPLXeWPOnzePN73x9QwODPP97/+Ivr5BPJlsuhQShOhzcdFZgFTKp21OG+Pj4/T1DTjiUoSDMRM9kyZLEXGsKCypE+Wxieaa1lGuY06gH8xknN/JExGPHXaswyAkk81ZkGBKnrzWc9SIlbP3dvSwd+9+li1bBEazu70PpcpAphYkd7zQruZzRCMiopFjc12GNOM5ljZn/ThdFLlHh+QEj6w9uahLcYpXhRBkNc8++zz79h9ix46d3HzzG7noovOoq6m0QZXalX+1NImlZy7glre+gaHhAe78yV2MjaYRyRV3s/oJrM9IAnEvx+JNFHVvU5pqo6muqqKpqZGenj5Ghkdj4pIU96JnwoBRyrHduXgYiXeXyKJ17Iu9cG7Yj/Z6ShVLwD2dO5JO9FWuvyCxcecRtpkFcZY1m+PH5Y3CRu1PLWVm4sHGx7Joo9nywl6UUiivjHwx5MTBpl2wu7M2IVGIuA2Mi4gLbmPRU/TEeKlB4niRZC4VG52kCBEOHjjED394J7t37+bW227m2muvYsG8OVhLUM4Mm0opzj1nGbfd9hb6+wa5996HCLLaWQwTAtMU87XkmARDXV0tVdWVbNu6nUwmG+uWil1HxDjfishq5nQ/OZv4sXbWzIBM+sHidHq8gvE76qoCdnwV2axNMON5PmFU4O8Eruf8BWPNYEE4ji8liPIxxtYoitugtBuYRFGplwVyC04KiIAl0ILyfdLjaR555DE69nXQ3zfAq1/9W5y94kyXfNpmmBNjKCnxufD8c7j11rewf/8h1q19Li4jkrhTdBf3GiVel8TnHFellEdLSzNBNqTbVW0sJIg5GCBECG2Ge2eTj5N054ljp9YD+JhhFDYYbrJ5evparY6+bIlgi4OL4yS0OAXwidfB5CJsobq6ktLSSgb6hwiytj5zUhdjEnPv9Bya40BCbC+MGxERQq1RyuaBad/Vzi9+8UvKy8spKytl8aL5eCoqhmaJdGVlOStXnsXV11zFth07GRkYtvFCRNdPEpikzqCQUFg1u+951NbWoXXI8PBITFgmg+cJ1ZVVjKczZNKhc+qTCbFOpzWOKIId3hI6U3GUJN/KhzZvkULwMVrcgJ+I5iXunFgoYRiyevVFvOc976CmtjphOoziWE5fij89mMi1KaViAmNd+n2XxKqENU+t58v/8DX+/T++w5NPP8fQyDhKUs6L14AJWbxoLm95y+u55ZY3UlpRgjZBwiSdxGQUPVfOpry8nKamRvr7BxgZHra/molcF9iytI2N9bz1rTdzycWr3beCJ8mxfimg8HmSxPrEwobVnBju74gcjJnwSfKUrNFizll3ThyiCao8Rce+fYyP9zM2mra7sXNrx5lrk217eSJhSZME96ddFj0MyuWF8T1h/76DfOub/832Hbu47a1v5uorL6WtrdEqZu1JrDhrEW9/+5vp7+3jrrvutgp3ol5OBFMebrcxUF9fT3V1NXv27CGTyRxB/wLp8XG2bdvKgQOHJiFqLwVEm3REWBwH6eZ8XBRmGqdzxDlWVVVRV1dHV1cXmUzG3Wd6apsdU2XHJDE52ZaZyHt1+7Yd7NiaRVQKTCrHMtujyAv9fdkiMrVBYdKeKKGVchPb8zzGR7Pcf8+v2b93P7t37ebGG65j+bLFlJWmCI0m5Qvnr1rBu99zGwMDfTz8m8dwyX+ZuPsWgzWdNzY24vspurt7CIJgQmH7vCcQYWBwmN/85jFr2jKuRM6EeXd6byQ6sk+ITWAvYvA8L84UeKKmsYgtjRM6RWrSZD8da/sYCIwhn30rfD05sNxKCuMSnRjHykd9kvMOeTkTmAiRUVkiu7X9VqwhP4yOEkuYN23cTE9PN7vb9/LmN72e1atX0dBYh2AoK0lx8cXn8673vJ2hoWHWrduAMYIn+YrcYtBGU1KSoqWlldHRUfr7+6c4iRWGEtf+qKhanOGY0524gE2WZj2kDRhDbU0Nc+Y0Mzg45Di3RFqUaUBSoT42NkY6nZ5WwhLh2AlM5PsQ6z5OJgRtbOpOQTnuJV9mjbLIzWD3gZMKY8PInZ9L0vJiUzZo45ZxKkU2FA4c6OZHP/45O3a1c+stN/GqV76ChfPbSKU8aqoquPrqKxgaHGFkZJzNm7eiPN85wEV+HIXcjL1fpH8ZHBy08UdHnMyCNrZGNhKlz7SLMHJTyLcknYZwopFEgagCleWl1NfVgtF0HRKCbKTbmp7JPFHXpYt+f7yYkqNdDkU8KB3FPdmwnp85b15wisJ4Xr90uJdoURWN1Zl4dOL9ZJPFXc91nkEhokn5KRob6xgZGSMcGiY9HvDkE09zsPMg7bvaecPrr+e8VSuoqCylqaGW11z3WwwMDHPHf/wne/fsx1ep3OXzPLtzXG9jYyPl5eW0t7eTyWQP08bEU4jNuhzV154YFHm6j3M0vjk9TG9fP+nMOOl0hjB0v03nHQs8lwu/my5MkYMpIu+e4lwYE30lnNiU5/h4ek88y8Ia/JSNewmCAJve+3DWBkdk4/GxREnl1X6yu34yEWFErNOZbBwR64sAHrt37eE/v/09du3ayy1vvYkrrzyf5pYm5rQ1ccONr2FwYJDvfPt7dB/qwXf6FB0xM8l8EgaamxvxPEXXoS50ODWiabMn6hyfXGTsT2s44mHce1CMpwPG00NESd6n28msuEJ9+tf0MSl5ZxJekt7/DtpoKsrLWLp0CUEQsGvXbtLj6YRoEL0ejls7nANXEkKoQ/r7B2zsjbPI2QqLPgMDQ/zP3fewu303e/fexHWvezVnnrmIJYvn8eabX0//QC8/+uGdDA+mEzFLScWyoaS0hObmFjKZDH19/WgN/jFucS9tvHRKtZz2BOalDBGbXS2V8vG8KBwiQtJ7Nfm9FKE1R7HLi7jI4Vy5EUOIrzyM1mzauIWug93s3NXBzW95A+effw7LVizmrW+7iYGhAX7207sJswYluchowaA1VFdU0tTQwMBAPyMjwwXPM4uXImYJzAyGiDA6Osq2bdsBzdjYWBGRIrLexGe510LRaWpcjDYGjPXOVrF5W6GNRinroHfo4ADf/a8fs3Pndm59+81cfc0VrDz3HN72jlvp6x/moQcfQ4faJSmTWGqrq6unprqWjo59jIyMTlGnNIvTGbMEZgYjqncwNGS9XUWsxSwK+ISckTYyOdpKArk0lvnGnCNbbKy8rxK+JtapMirFHWqDUh5hoHn0kTXs2dvBzp27ecMbbuT881bxvtvfw+DgEM88uRa0h++XxG1ra23FGENPTy+h1i4kYRYvZcwSmBkNm6Y0F+9jLT7aFYmz1QIiC0TunLzXo7IM5Kor5OsAHOEx4CntuBnAeLTv2scdX/8Ou3bs4y233MSyFct57+3vZGR4mBef304QZBCxYl5zSzPZbIbu7m532VkR6aWO2S1kRiPfEhTpWyJzrc3irxN/QcGajXxSphazI4m/pGk5tm6IgHJ1koxBjOBLCSNDGe762d38w5e+ygP3P8SCBQt4x7vfwbwz5hMYW9y+sqqS2roaxsbHGBpy+pdZAvOSxyyBOS0QLfYQnBu5q12LUopUyncKU8mVMZnu+0f3JKILuTiVyMz93LoNfO0r/8p3v/MDSlKl3PaOW1m8bBHZMENDQz2VVVUc6u5iZGx4Vv/yMsHsKJ8iRA5VxoRoPHe64gAAIABJREFUHdhM/5M6kEW6lHxCoxTMnTuX5cuXUVNTA0SHFfOoPTKS/E6RFifao2z8kIAog8GGaPiex4HOLr7/33fytX/6OulMmg984Hc499yVNLc24aV8Dh44QCaTsVzYS8CFZRaHxyyBOWWwYk1JqaJ1TgPVteUgGm3C+IhcsXhFXEhbArTJYEyIUorKykqqqyspK4tKxUbxOlFEbmHs2OSwApf9l0xNaU3fKvdHLtI2Geof5XrxvRLad3Rwx1e/wZYNW7jskouZP28O6fEx+gcGXTWCl46n9Swmx6yS9xQgF1QGDQ2NLF5yBr09fewY3Y0xUbxNrkqlOwvrat+AUkJvb79zvttFeztks67UqcHF6SQW8FGX/sjfd6TYp0RGL4nyIDuPVBFDyvdIj2f44fd/SEtrEzfc+FrGxsbp6elDKW9W/fIywSyBOQWw5mRrUh4ZGaWvt5/BwWFbhyeharW6lsjF3+D7PgsXzsf3fTKZLH19/S4K1hYGi+KzYvd8d95RtOwIv0cEL7p+IgcMBlvMzYpMNgAV0pm0zZZXWkp/XzfDwyMuQPX4c43MYuZjlsCcEkRJhKyPy9at29Eam4oU5fxdNFEZ1mjha63p7u5BKcXY2DhR3WgVVx1UBcTl2NqW/5of5xTVX7IJkHxyWptclHNM41zkdmtrK75fQldXNzqcaujCLE4sjtYJ89gwS2BOCawLvrXMKBsqb6yPS3KBxzWe3HdhqOno2O/y6oaIeI4bsNcUiTgD+/n4dBw5AmN1O5a8lJT6iARkM4GrF5QinygZZ2wStNGUlZXS0NCA1oauri7nYOfPikgzAgkdW/RNgRXyeLnMWSXvqUKC0xBRiT+3SGPiouI/wbOESIPCIypGYl1Ukkm4YboUqNF8i3xtzj77bN5661uora8i1FkMQZxLJNlem9BIU1ZWRlNTE+l0moGBgZj4HSnR9yxONCbaDHOKe6ZNhJ0lMDMBJinWJK0+hSkWIGd6VtiCY9H3SatPfiG0yPJzzJDoRTBak01nCLMhzvXGEcPo/gkxD6ipqaW6upqBgUFGRkasr7Dk/mYxcyBi0ITYYoWaXK7DY8esiHTKoA/zm1uwApgomDFntcnl1y3mN3M8XEEyQjvSlTgTtbvvpk2beXHLZoIgREkJ4JGfiDsn1hljaGlpwfN8hodHGB4eniUqMwaJ+UQurk2JoHXIdOllXuYEZqIMenLvPRkxSAQp5lVIiM6LXiMiUIxYHauyN3ndnDUrSqoehhqdFZQqtRyNSXJauTy5xmiUUrS0tALQ399PNhvg+6ljaNOJwMlRcp4+sAp6z/epqqokm82SHk+T2zCODTNIRMqPhJn+a8NEsSMyAycXFDDB0exEQQr8UxJihol+K1YQvlCkkiJ/x9gccLFOOeWxzazpis8qAeXlopSk2EK1BKaiooza2mrCMKS7u9vWZcprW2E7o/Ep/JvecbDeOgGYADHaWu9MJG4WzpGXKpJirX01GJqbGzn77LOYO7ctz+nzWDHDOJjpVVBOvGbBdZNlToqddkLpy+GIwOGIRLHvp4comzhKO1dIL/IOjtIda+MWaKLg/cRIbjAmpLa2iqqqKoIgiEvEHhHFDpnGcbD00IZZiNKEgXYKckfQJRJNj2/nPn0QOWPap02nM6TTadLp9PEyL8CMIjAncjXnx9HEOg1TuFMlj3k57GIToZSrxYNBO/O0uPwwxoASbwrWH6uVqauro7y8lP7+QcbHxqdw90KO7mgw1dVgzfhvfvObyGTGueuu/8FIpHMwLw+akodIz2a5+L6+PkZGRshms4g6fvIwgwgMnBgik1SYTnZMEecvM4Okx5MGcd7EBs9TNNTWEWpty4sQeR8nq3pODs/zaGpqwvd9urq6SafTsVk9hyThT34f9f1UiPxk15gErrBZR0cH2WzGhTe87KhKEShw6T/Gx9OuZtbxqyxmGIE5wYhZ35xS0rq1g+C/7C0ckSiktaamtorFS84gk/1/7L15vGVJVef7XRF77zPc+d6srMysuSgKsKyCAkQoBgEtVEAQkdnhdbdKC408R7Tbfooj9hM+NMizFW0eKgooqCCjzAhISSnwRKYarLkq5zueYe+I9f6IiH32ufdm5s05sypXfU6eW+fss4cYVqz1W7+1YsjXvrrCcOgCD2cLogo2M2zbtg0R4eDBA2EHR7Me4E0Rsaarul7RbEHJHIU7mxTl5z//hcD1sNk4LvRA8YwOIepHOF7IKzu+850RCsZ7X/MilHF6/PFLBEo1WjFpgzZVlIp2O6fVarO0NIglE4KZ/kBWNsYIZTnk4MGDVK6Me1CH9kje0eGax3vP9MQk09NTlGXJwYMHcM5hTcbhsaVx66bJIA4fJXxI4z0cfR95CHlbahrjrKng7MnH9s9QSUTPERscjrcxTrEfsNHkUgUxgjGBLSonfC+jERMWlZphqji8Vlz7qGt47g8+l6mpycYGZw9U5RLZtWLp9QbcfPOt3HrL7TiX8ouO7B6lyT83N0+706bfH3Dw4OJh95/e7Bxh0QnKSnUUTRoxTJtWx9H0V6oImCJ0TY7RyYxkng3SHP9nLQ9mk0iRBiK6MWZstTwxMm5iS9SpIfRqueP2uxj0Pb1eqnLfHMQPLKmfWxUxqcB4XNHHLIdD/z69z8/P0ypaHFg9yMGDi5vgLxt+Hd8j7ybiZlkeVlXvXcCHVKGuU9z87Vb7qwnkN2kJD3DfqJb1pMnjk9PkIo2c5pT34NWj7mRM7AQCRr9S03ugs99+273c9u93Y20eJ46JG489AAebAIQsb+8Co7duBp+smMSL2bx9VJU8z5mdm8VYw8GDi5Rl2iL2MJSB+HkzWVMVdl2wk+npSe65+z727t2HtRnqj2eV1Y3vEvkeNe/ozOv7U7voHSVwfhg5zRiMAg4R5dHXPgIR4Ytf/CLOJW5C48g48A43uA95jZpaP/pdWKlD4SNjIm3MB8X3gFQuSdSD2Lg1Cox4EjEJbkPETcc2LlBV2u2C2ZkZBNi9e0+jMl+TFLiepFdfhtQHIlDkBZ12lzyPWdtjPzkcG/owUoP9W/z8dEi9z7qSZQZrLMOyQk9pdPP4rbrT5CJF66UeII5du84DlC9/ucL7VGckSUi+8on8pClzeIvX06ZiGR+UUl9HqYuYnIEr2KmQUKwqKXbdtH3DMc2SnNCsYQOeTrfF1PQEXpWDBw+gXhu7ODZWxkNgJzVzWOHuu3ezb98iqysr0V3bxMU+KjEbf3q8yaAnVEYKWLTCWuXCC3YwOdnhjjvv4+DBU7Vh3YnBYU6xgmnSk9NUDmj+Rz/ySUTAlWbdRPeAw1qh3e4wHJaUwwq2GDLdusi693OyuRw6Jpy8lpmZadrtNoPBgKWl5UaqwXqL49DnSobE2uoaa6tr8fwpdHqi++gM6HPxNFNA0hRQhXa7zcTkJHm+77Te4rHIaVIwzY8MiqHfc9ENyteZ4mGjr20L29i1aydLi8vccsttwa05ZtbnOTmRUoeOY3ds27aNIs/Zf+AAq6tr9U6UW4kQNkPQ3vuxXSyBOhCQjrm/SmjOwEu6/bY7sXcb1tbKs+6ZT72LNGbhxipuKtEd19iofuSfJ3cdwVqDtYF8pbo+ce6cnD7RaKF4rLXMzs2FEg3Lq/T7PSApIb9p3lJTkrJS1Xq3gib3ZVTc6v4q0boXIdUu7vVKdM0TttM8uxjmpxHkjeZgxESC6WuibdxEDcOqtXfvPvbv34+PeyOfs17OHKmzrvFMTnSZnOyiwNLSMmXpSJnZo50OjoxzpZX6UNGTs20lPzqJC23NZLYNbOzsklOsYDYD9qJpHbkPYdw0w4UCGso1OpeiQWcSKPdAlmRhBCWjXpmYmGCiO4GrSvbvP8AILN46KNtUHvXukfdrhcImzZMs+HXBjrNMzgyiXSNkGRZDWXd8E9FOymf9Oc7J6ZME4MLU1BTdiTbOO/bv3x8tl2b07lyfbS7rXZ/7RzudBgWzvuGSlbI+unCo49P3948OuD+JsZbZuRmsNfR7Q1ZXVwO+loBa0VGA8Jysk+aieWLZtKdTTn0USZTxUghJmaw3BUflFzchLpy8WzwlcjiW5GYK+GjPfbS0+eN3PwKDN2Nhfg5jLItLS/T7wzrloFYu52QLsgkJcayK4dkjp96C2QyDOaJF0mRwnr1LoEaioIhHfdi8TCSLAF6s4i7r94Q+ErjXdDlD9C0wkk3DPQnH+JrwFin5Jvr02oxObKVtk/JPWFjgKhVFwdT0FNZYDh5YohyW8e48m1eI28K11vFD7r+ybgeJDU1zdj7/qQd5N5VDuUGH+83ZJ809i+bnu1SlZ3VlgPpAzw+6s4k5HZsiDVnIGveqDrVWhYAXjqI5/oSRlkO1O8/ERJdup4MCKysroSqamAZwfywnP/77Ozvl/jHuz66g+v1AVKFoZTzzWdfzHU+9DpUhSBWsFyyQgebxdWT9r2P/AdpM6PSk4tZKieAIHKJGTtCYRXkcs1lgZmaGTqdDWZYsLS016vrqcfBXzkUMz2Y5IwpOPdDEOce999zL3r0HYw5PLKotTUzkKCIuzfyqtL+1AcFh8HgtcV4RyTAmQ70lKLPmNdZvj3L0Mj0zTavdYmV5jeXllZoglwhzR5cR3Fz7zkWfzlbZgoIZdW6qLHaOQXtskiwHVyof/9gNQbH4Aq8S57ULyqL2pJoh+UOelSZmU+9vrYqoB+O57PJLmJye4utfu5nBIJQm2LDF7CYZ50fxZBRFzvTUFEKohre0tAyMqP1JyWxNpMaPzimWs1uOqGAiJIiKJ8syBENVHf9+KQ9EGU3qjLLSersMEYngbnBhRpPqWD3YUOrAq2IFHvbQh3LRpZdy++330OsvYYTGBD5WSa5LAJeLos309DSCYW2tF4p8x/MfPUkulebw8VlOEFh0Tk65bM1F0rCl5OTkJMYYlpdWzimZ45TRpGu+yyFC+Ic9U3wfEdkC1yRMSlX4xjdu4sBiiOqYWHd1g9txlGUnm6IoWZbT7XYjwLuKc6PtR4+JhSuhtKmt69Kck7NRjqhg6rXUGIqiwFrLmu1Rlu4cr+GYRWP4NUaPGkzYUf1gw2jXySOdbhRxEnysyGfiuYWbbr6Nr3/z1hDRURvTMprs2vDLrcvGYycmJul0Oqgqi4uLeO+OyXIJ/ypoCKl7DWHq+32qwP1UtmTBCFBVFUtLSwAMh8NzHX5c0lySjy+/ZISHxcS4SMsPLobgvCAmwxhFsHhS1fjoitXEx81SOLZ+FzMz0+R5jqqyvLyMcw4jxxBDEEW9o9VqMT09Ta/Xo9frb9wj75ycFbKlERDpYfR6PdL2IuHTc1HuY5MmkaqxyViKImm0cI5JkmsU3o3JRvVURDCiICZs0XKCdnAQgdnZGbIsZzgMKQLq9Shrgml0i0LUaXp6ioWFeVZWV+n370359ifkfo9fThwD+v4uW1AwQtr4XMSGFfOcU3yc0sRdmqzdYznXuhwupS6pmLZhgfURmbR7wGb3sZUrxhICCuCxmWVqagKbwfLyGmtrvcDqOyoMKdyCxBIea2s9Op0e/d6AcRfyVIjGyL+gAvVOXQKpfGs4bCtRvjNVmkpyPRequRPq8T3fUdiw0jDHz2nu45fN2vB423V8sIyiOIc6/lgHT8BIQtU5pdPuMDk5AShra2usra1htuxCN12zsPEeHtbWepTlfVRVFbarPaVjLuBjXhXFYEw+vqjWtIL7yzxoeiPRUjxB+vxsVb/n5DTKaJfHMAo73Q5T09MA9HohRH10k280mpv7IQ+Hw7FymadKVD1zCxNcceXFTM90UEpGOWJCsN7OdobxZpZL06rZ6vMdngR5TsGck6MWjYMq4TwT3Qna7Tbee5aWlnHOH4UXvdkADW55UmSnehqrei64cBdXXnkFuy7YgfPlOrzqbHaNNpPoFo2xubeSYHpkhvW5VIEzWBK1vvkOx8grOdH3xaj8wvTMNJm1VFXF8nLYRWDrzN2NA1QA72KyJv6Uw7sihn37DpJnLfbu2R+jYQmUOJutls1Ea+UZ+rWRo3akR62DEoc+5JyCOYNlvSLpdrsA9Pv9uHfz6RnsCSBWBZsZZmdnEGPwlQ8Kpt4F8tivURf8Pg2Wgojlnrv2cu/de/FKUDBjRMT7U8w8gf1xPHlFfYVI3DbYhF0+vZcGprf1jr0/2Xn3S2nu9zw1NcXCwsJY8uDpEokKxNqgYIwRyrJkZWXlGHbfPNPEIMSMdnI2Jl4md+Jsjqaux1ws6pQit8wvTNNqGy65ZCdFkePVr0vEjX2rRwaDz1kwZ7CsVyAHDhxARKiqauyY0zWZvfN0Om06nQ4isLq6GgDe2q073iscqozk6RQ5xN9nk2wG6IZFwbmK88/fxnnbr6Bynj37D462842pJyMl4+EIWM05C+YMlvXV9QeDAf1+HxgpltOhXOooEsrk5BSdTrdm8A76w5jvdLxD6zRPXnHxtVm6xtm3P9EGWZ8mogLe4L3itaTbzel0Mi655EKmpqeO2Vo+jbsKwJmzKp3ZslldlbTjYfj7ePbMiRGhdK0tTZzRTo2TEx263TaihsFayXBQNcCXrYY5j/TdaQhV16BuAnbvZwDvGMnSB6tTAs7nvOHOu/aQ5wU3ffPfQ97hmKWy9f445yKd4bLZvkDNz2TLjNlDSdiPKtRtYYvnCoPSGmFqsktuDd7B2mof531UeJ6t1bI5lu9OvuhhTf+zfWE8FHtX6Q1KbrrpDvLcsrCwjUE/1Q+y8T0dvzU5A7YtOSdHIxtdoq3wFTaXVMbSWsvCtgWGg5LFxZUjul2qIMaQmYzZ2VnA1ABvusfjAXpPJ3j9wJPxtnYuVEkoK8/u3Xs5XqvtDLRg0naZDzw5kcrjSDLCcMJ1rM0Rs7UaPyKhjIK1lrm5OURCEbKVldWYRaBbxGA2f76NemkjyHtOCZ0cEeICArHsx/1Owdw/ZWNHnV6QsLn3s6pnz+49W7Y60txutVpMTU4BSlkOWV1dG0u0PHEA9EZFdE4JHa+MCHapyFmwPE1d8fBERAJPu4LZyFYN/ILmBIAzhVdxMhIUT5+MSjoYnDsahRAm8+TkBHmeg8JgMGA4HDSSAE9Hu2xmAW5F1isi3VQ5nRlj8GTICC9rzsUT8bynXcE0i09rdI1E7BmmWJJsZs6fSfd3dDJS4sfwHKpMT0+TRyLWysoyVVXFfZBOh3W2FVdrc9nM0DmLu3XrcogyqSdyTJ92BZNWD5GgYhQgFns+nSSy+5syGZfjLZgUVvjpmRmKvMB5z/Lyaq1gzjY5Grdw3acn/F5Onax/5vVj4uhD0pvJadjZMd34CMhNlosxliyzeAdV5Wqux8mf2Jv5+PcXZXIoWc/r2PqAUlWstUxNTYVFQUMdGOeCqa00qx6ejbIVzIdQFfCslXX9PZa4eJZbMOFR1keLlG63w8zMNP21kn3799e05OPfYmO8MU9ltOb4ZARcHo6Xcex3vp7qvTWFIAJFkTMxERi8rnKsrq5SOYe19uiViwrNcgiawhiNW9pSwalj4fUdR7dvtghtBVg+M9z/tMDEvtpw2ydmcTjFCqZhhtVtGx5SNUQier0eYUeUIwGqm5n5TdYlNIGrzc/VXMXX1/tY/9lm93Sk32zGAD3cb2Td37FurgKYkZbV9UrhaAfDZspq6+dQhSzLmZqewqP0h0NW1nogWVCERxV9SC5VE4sbvxdha5S9rTzB8bbcuGy8q/XPHZTJmUq7aD79yXFtT6mCEdJG7FI/W4pkiAjDQYkbLuGihjfGxExODjMSZOzPCFvGD04f1fyEiUYGJVKHE9FGJu+JXAR1i6fznm67xeTEBIJSDof0e30MgmEUCQxK8Ugnc+uOkfFym/HPEzVFt5AAfEIl8YweqHLKXSRTr1ASVU1ofCEPcSSvqChiwEcfN1jMhwJdjzU0eRaIWqRZmj8g4DUgLmi90f2YbGo+HHlaiWyt9VSEiW6X3GbgleFgSG91LSqY0H+bXnHDBx4k4RhSv3SdVXOIs228/y3c+6mXwwcLRi7VWbwIHkZOqYKJnidNy0JFQaXeqEuVOHWSCJuDMGaTybXeRRq/8tkmUmMTCpqm3Tgas9kCKZs+79am31YVzNzMDFYMYqAcDHBliZGYEicjZTH+u82u1phsh8KZdL3TtMl9nyrt0oSHtnzNQx84UjbjNtr9hSR40hVMMwqkcRsISApFMQbE2jgwYzhQTHip4lXDwD0kjrLZ/5+Za9nmcpjBV7sPWmOg3nnUh03UAuckHqzpn+N79q38WggcGCPhflaWV8IG92JBQ2W0rak4AbIacxGxqIdRtc0w6ZTNwsQ6/lcKCGzh/o9wU2eIbM0KPTMA40PLSVMwTQ1c15OVOGRUOe/8bVx66UVcccXlzC/MhuMMnJ1K4iilMU7GB8b6Z3ao+to9dM5zz933cstNt3LH7fewtLRCJjYaOdGRiFuuHvaixykiMD09FbctCSQ7vEdqINpvufcUMwqN6shJCh8m4uUhLJv6HOldxjTRkZ74mEDek4bhjIOsm4fFz74qeifdgkmDMKUB2Nxw7SMfyXOe/XSufeS3sn37NlrtAiONIAmbOzobYzG64bPx38kmvxmPIpyKGNKGex9TMJtfq/69jp7Re1heXuWuO+/l05/+HO977we5/d/vxKgZqWVJ7ydHQasqeZ7R7U4gRvCqoUwmyfJoPrFs+O16kVqRRKxJQRobxhFd6KR8Rmff6H4pOjZPN7ueT8os3eEW56tyNC7RyZEz1Uo5nJw0BdPMJUoWjGrFI699JD/x4z/Ck570WObnJ48zONbcZgE2qpizj1XalM0U2s7zF7j88ou45NKLmJ2d4a1veRv33H4vxtjaNTnZw7DdbtNqFeGe1LO21ttkMm+8k40TxKGuxHuHNTnG5A0kQqC2bthgORzSBWsq700B1k0UxSaKSLUJMK+7blLip9yY2Ki0R02q8TGOP/h+IuWUzUDnHLsu3Mn3P+fpPPGJj2ZhfhJRj2oJVOGlnpjGucWXjOKOaYmp3+Uoz3VyXnLEY3wwTQ757OHZNBaa1ljo6ZJLdvK9T/9Ovuv676Db7YwmuD+5nAtVHSkY9QwbZTzjEVvWcKqe2fkOj3r0VWw/fxrPAMHFaJTBEKNoKbxVv9b/fzrjFoFsHX8d9tjRU9EYaPUnZ45IowDZmSNHcTdHatym75tmRQAjvULezvi2b7uWJzz+21mYnyJxOUQt+LQkhFVHVAPAGcOwooLgEEpEm2FN0FgzVTSsOh4N5/OE43FUEs/jQ1g8BcdFw1lrlEMa30a/X1KkamxMJxPb1c8dUAc/CsJr2M/HRV0nqmPnqs8Wy/NHBgmj4P34ahXagBpvsSgXX7iD67/ziVx+5YU47/DOh8iOZuBt/XshKaqGRYBBNUNj5fwRaGxG90bz74iOqNJutWh3ChRY6w0ZDFyseOZCGyh4FXzUkaPhkLKUQ4kIMRVPeNK38uMvfS7f8/QnUOQOI3705JLaXUH8utc6V0yCMjJYRA2iUiuq8WEqiNrwqv8zoxaPY9CIiS+wApkEODpHyVTJ1Ie+qhWVxpG0fp5obX3p2H/HIOsUY60g150s9ePG/tygkU+6bMFFSo3UUPdNOzFKwu89JvrNHsGikSg2NTPBYx77aC6+YBdWQjGbMInDxuaeErxi4motCCpSd4WK4FWwGjtIJNStICgZqyZ68xoARwG0IvBrPIpB1QcQNJb/8zVVHpBgIxjxSCK0NbwtBSTiARoHvANQF5RouONRS6iP57SkqyngkJStE1suHKdko8GpcbP3WhGl9xGJTYF2K+fBD7uMqx91DTffsg+pYoBfbLi2OIwaMBLmpIw4NZpmU7zjpNBGleODdkh8G+JVq6pkdnaBqakpnHeAxZoOrQ6hYJUq6vN4yy4olHjPXn08bbDWVCv27Fnk7jv3cved+/Aux2se7h8IuT4R6EVqt6VuG03KB4Jyi8/TcBsg1A6u1ZEIY0TF+tnXz9TR+eLwaPRZXMjGpsAIEtB1H2tcVMawN06cNEGBozv7ybfCto7B1O1/OA3Y0JAyOso7z65dO7ns0kuYnOzW7N1RHykGBclABC+CiRt7qXEogldLJRYxDWA3zHqSIWbwGBXEmOgttUCFXBUVj1oPEoA+UcEbj3iwKg0mfhogHvExX0ocQhYVhyDiIvnPoJSIN1gTNkqXOOidGIzG50qWgIQBHqwZjzcmqqVmW4yaerOWbu7wCDA7u8BDvuXhzC58lZWlFYwJE0PRAJxrHnsmWluahfsRRalIE1DUoPE+k9qRZGk0lDDOMT0/j8lbqHdUKnhraU1MAy5aSfGaUtXWbAKrNVpTiiBa8fWvr3D7bX/P2tqAon0+3gsej+LwvkS1AkywdGvl5IOykmgRJTq++Nh3snHW1YxxX2Mwo7ZNBxpqY098BJujYpdRP6Vfm+YgT2Md36RGBlC51oebzZto8R4GwG1ccqQoD3n0RjnWnKkTIVtQMOnmDr9VQwhR2oaWj50jYXIvbJtn+45tGBsHLmmflWAZhc4M1PIM4uofLSEFIzZsgSVBQwiKmtBIJm5ErurCeURQE5SSjYNPIthcpmsIGA019IMyMhgP3kiYcH608oiGQRksnPC0wd2J7owXxCoVBtRhjcFpjJpBWK3FAlrfD+IRzfBiQgylMXKCs5Wm+SHaOyqaTrvN3MwC7c4kS8s9MCa6PVljPShjVxtCtMbU95+GvYhEJZzcHBctyahgky3uHZMLLXxWonjW/BJVthIKfYvHY4Ky8qYxQRsUQU1WXlDIpYdBr49YCx0bnRxTKwiTZpUnWqC+VjKqHu8cXh1ePaoV6n09ecJQaFgh6frqR0M6fafpmDq3f6zx61EtI+sntOHoJKqKXbdlrtF0dFS16yZ2gtm2rDFiuxyLohk7zSlSOlu0YLb4GLVFsf54xWYGm9moduL3msxetGt7AAAgAElEQVRyxVdD1pb69I1gtERsi4nJDkXNjdH6XxEX/wowYBiJgiGjXDnAB973PuauvJrHXftwvBVQi+mv8KGPfozV9hTP/q6nAkExqXicgInugMdgo+nvDaAGqzlewGEw2shAFkW9IN7x8b97F4vFAk9+/OO55atfZ8dll7JjfibiS4IXEPHJtgBVxCve+DqHx5vgGhlNbsnGtmwSF0VAjSCtjNb0duxqG4yp91JOeTAqDjVBuUi9fHtM3J1Q8BEKGmIZgKkQMwT6iOkjtkTMAJESI8q2Cyu6c8uUvsRM3M3sBQexVlBiaocXVDPwGaoh/QMk4tgaMG1VVA3iClQN3gvqFfUG7w14GzA1NWhy8+L4MmKjRdNwR+M4VfVRyXjU+Xi9gE8Fl6+KblxzqxatrZqkDKShGJuWkNTWX7IzR18Gt3wcZI92TrwKYxGs9EtLtHQOMc1k3fFjxx2zTtg4tk5GoubWFMwmD7GR/KTU0Zsw9xiBpYQJFX4Z3Qw/OrfATV//Kj/78l9m0SjiKs6/+Fv5td9+NQ+5aAEImIvzJVZiNlOcPFY9vqq44549dCYnmTFrvP0db+OSJzyLx177cCCuIq7HX7/v/ezp7uL7vuupmGTpEAZ8GEol4rOwQoqtAUrV4LerCBpTGrxYUIOxBvyAj//NX3JL+0J27DqfV//3X+KnfuFX2PWUx+HFx9ycoOh8AkIlxxiH1SpMFJNFiDC0jcExsjhSEzaVS1IUDi8OKQq0mECsxYtBvKlNcpUKTAVSoWYNkR7GhOidmCHWDhE7wFBhE+wtDqRCJLgpoSB4hRFDd0pQKXF+jX65H7IVyCMGpQnRGCE7VpOL2HCho4uJlgB4H107r6AWnI2KKuAd6hVXCd6Bugz1Gfgc9Sa4Zc4E7EczMD7gXLlGHlbAhgL8EhQd3gXFE1/JInLqIGI/Eld0nxZCGe3PHMawjkyfRh+NzQnfSO5tTgdGzaFxrvjmbyOWozLqayEde6bJobXcERVM3Z4xAjCq1bmJghnT6OYQx6TzNb/x9FeWufkbN/Hi//PlXLxrJ52pbczNTcSvPaXzZEWGxFXLQHBJxDBY2c3/ePVv8qinficvedZ1dFsFeV5QOU+GYqzFG8VmOZhW7FyPH8DQGoyVsOG3EcSVGDFEI6MeVIKiZR/JWsRMTIyBqiyxxtCZmCS3XXbs2sXLXvafuephDwbAGYNoFVYyIQw4MZTOU3pHkWX4iFYbba6kTTwk9sUmZm1SQeqDa6TYOMk9SA+TrSHZEsYMsGaIMauIWcOYIUKFSIjOQQlmhE8QXag6+53RtqHtTgE4vCq9QS+4RioIQekG3V8FxVrjBtECaYwJJbiyoGCraDOMXHITlWRNokvulxrwJihsZ4L7FBWHOoN3El6VQV3Ab7wLuByuQHy4z0zz0SD0Gq2d6H75Eu883vmwGOHx3tXAs0hY9Ehufv1kI9tToxVpGmtvUxKHsBl1b3R27VKNorJSn792AhpK6Uyq/pjkiAomPaSIqXcQXO/bjq4zbjIma2UD2KYSMqZR0gptURam53jhC17IFZdeGA71fb70uY/zgQ/8PQf6A3Zc9lCe//wXki3v5t1/+eccKBYYlp4Lqvu44VMf5Zt7DjLX7mMt/OMnP84v33cHUnl+4MUv4XFXXczTnvIUlrMuOjzAB9/3IT722a9QTc7zg895Otdd82C8lhjb4pMfeg9f+MrX2Ddo87hHXMWVF8zy9r95L4O1RbZfeAXPfM7zedAF2/jERz/I+//+U0y3J/jSV29h+uGX4qs+9+3dx3BY8YkPfZDbVoY891lPo7/7Tv70HX/HC17yYvbe8Q3e/q4P473l6iddx7OfcT1dotWigBpKMRgZy6U+jAgqGV6qOGDLGEkLkKOQB+XlMnxlQipBXgXlI/2wumseJqsd9eEoojTCFfKsICvywFxSx/LacnDzJLg0ps6XH/M51o0okj/R+EzGD1fF11nZodp9sGQdUIb7FDBZ2JVQCDlrQRcY0GjlYMNz+2D9uAq8E0hKyGVB+TgLPoHJOZZ2HU1U71DvA9bjS/AV3lc4H6Ji3gcwXKOlFfCsEfLiJbRlyLUbKaN1D7xhmkpspzqsnVxe1YjdnAAw5jASpvh63HWEb23FPzuyBSOCsYFT4f1GP6150cOcZd2xo/8P53MYUYZrPd7zvvdz0cU7mZvZxnWPeijf/NpXufO+PWw/fxt/+odvZNnlPOsxl/O6330tXHwt3/OUJzHfHpAZgzoYlopD+Lf/7ytctmuOGz/zcb5y9z7e9Sdv4tnPfg7YIV+98dP89q+/gZ1XX8u2iWlWlpcJK6wFI3z+Hz7Kb7zhT3jEk5/FNQ++kFtvuo9/v+MeLr9wG+9621vZvQYvfsZ1/Op//0WmLnsED52d5p//+V948qO+l7vvvI0/fPMfc/lDr+WLn/0Un77zIM945nexeM+/85Y/eAuPetyT+YPf+VXuWGzzlCc+ib179gXrBfBiaktG1jfb4SThrwIqDiMlKga0gy+nwU3i6SOUGLNKlitoHyGrMYV0KYku7ljfxYXDO0+r20FMB6TNsOwxrMJKnhaMAJGmQlkj9ShjrkRTiTVRzvTS9A2p6l4IL9c/q+0q0ha66bwCGA8yJJA4BfIQHLAKedwmFZ+hTlAXXa3K4ipDVQUrSCuLi0oIlyGaYTXH+iK6dgpUwa2KbpY6j6uqYNE5j4vusInm+maJiclOlLFnW9/3TV6U1Gt2Ixh7ktIYNjtpctFHn6geGqc5sgWjirqUdDb2zbq/R1sfhG9M5JkkGa/xERawVNgbRAxrq2u84+3vZKLIuORBV3PVt/wST/v+H+DBj34i5dISt3z1n/jXb/4rz/ueaymmZ/kvP/vzvOyFT2dl72184YabeMwzn80znnU9H/jbd/N9z38xb/z1V/KW1/0Kr3vnjaz0oVsEt2P/3v0sHRzyvCc8nuf/8HNZaIeQqyMjAxbmprjksm/hzX/wRh68c4q1fXvY9ZBrWFpZ4p6bb+aOu27js59VVDN+8dd+g8fsmOTeb9xAVQ0RsbSyggxoFZa81QIM1hgm2h16az3uuP0urvy27+alr3gp286bQfA4NLg3seWyLS5NiSZmSBELwWoWuWgOkT5iljB2FZutYrNFTLaEMX0CzbAVVl+pAFdP5JGpL3VIHg/toouQ48lY65dUPtEDHSkqKAZELUZtHPxhMiZloZH7NJ7YED4PvJamZeNq12M0JpNPkSysMH7Wg6BjlLba6g5jVY1DjIHMBTfRC0aVVrye9wbvLL7K8FULX1ncUHClQV2O+gytQo6d1RxLEciQCt5V0dpxqFa4qsT7ADp7TUTCpGwSWjW6+VEZksQDiwGOhoISgu/l42LkI8t7fK4dfuScOEmu28btXg6vYKLW9b4KoJlonbhYm7TxPo0fmbjeJG5kiaiPblLCFEJzBM5EFk9g8F6ZnJnkV37tN7jqwZdgTMZk2/HuP/8T/uJdn2C6Pc3d9+zmkgd1QAyt9jQPuuKSeA+9SCLLEa+IKZnaNUtGwa6FCyi4AeepV+Irr7qGJz7xKt78+v/BDTf8I6/4qZfxqKuvJIB7Oaiwbcd2Ltw5C/1l3v/uv+It73ov2u0yvPduLr7uQew/sMi2ue3Mzs1hJwoefOlObtN+4OLEldTHldwDqgbnPbML5/G8Fz+fP/yjP+MnfvR2fvQnX8Gzvu8pYbJrWHwRg5cAem5lqHgxOPGRWGdD8qPpI9kyWXaAPN+HNUuIDJAI9qYJHjAtCdaGSOyvpLI0kqw1MlUN7byFtR60R7+/SFWt0W5ZzjtvASOW/XuX6K+56C6FKeITw1lCUmM9gSJrVyN/JQ1Nqx4TWzLyBUiTxgOYiHvUOljqsh5jw1c2ZiOpj0TQ1C/GIiYPK54boFJhqFALJssxRQYMSAW+1ed418KXOX5gUSdUlcFVBi2Dm4UJSt5KBtoGHyozOl+ivsK5Cl8N8b4K96mhjZogeF10K7a/4kdzSNNnionKWBpWXJPqtx60GLd01rXOegBZR6pqvY8ydh41hFIbMWLYCN8fdvyO8D4bzGCVSD+2JF5MomU3Yara3Kt54qMLJvNvfLUREEPWyrns4gu56MKdXLDrPA7efRNvfcuf8tjrn8mb3vwGrn/itwUzFBtgSZc0ukV8RctAkWWoCJULA8KIkquQa3AfSm8578IH85o3vZ7f+o1f5ms3fIE/e8d7OeCFwCD1VHZIz4Zu2nPvLbz1bW/loY97In/0+2/i+576JFSFrN1GhyWtKkyGxeWKigJFCC6+YtRhjNDK2/SXV+gP+qjNeMXPvYo///O3MZN7XvuGP+be/WtkpND7Jr15ONEAdmIqMMOabYwZYvJlpFgNIWaziti1oFyMIsajVHhToqbCS2S9iMFLCKuH9zBgY+yLVqtNZgoMOcPhEPUe5zyrK6usrvQoSw9G8NZT2orSBtKhpwU6iWiBMSWGCvEhlI2awNSWMJFUfOQ9W5Qcjw33EiFtTaRAsXgMXsPfW2k3MdFSS82nDucGKH3EVIH/o4DaoILFo1KCHYIdQLaKaa2QT6zQmTtAZ+EAE9sPMrXjAFMXHGDi/AN0FpbIp3uYdgUZAcjOLFlRkLc7tLpTdCbnmJjcRqu9DZvNY8w0QjcC9ZDy80Tr2CLGCMYEa1OlHH2vYNRitY3RFpag3CSmTRhtgOP1q+FyRqNxg00jxAw4Rul9m4DVoR1ZP6mBLblI6Qem8b6+JyUCcoKJq9Uo+k+0ZtbdORI0djyVV2V1dZmPf/wT3HP7pbhuh44/QDV0FCbnK1+5kfd/9JNc8tSXIHjU90jlFtXlVK7Pzf/2ZW795mWU3qChcjjiPd5nOA+Kw4hwx9dv5is3fYPtOxfYtrCA61cBIAx3gldD6aLJ7UqGwyFZ1uLWr3yJD/79R1h49NO48iFX8dbf+yP+5q/+hodfUvB3n/kSj37RkzGqOPVUxiBZi5u+/E985L3v5cb3/QX7VnosLq/wofd8jh0XPYgrr7iMr/zTbfUqlTJ9Ja7YWzNiPVDGno+TFcBNU/Zz3HAab7u02h4ri8Ei8D6qsnB8ckl8ZLkaAlFOIylPCZamd1Dk52EoAKW/VqKa4bznwOIAg8O7Nuq7OG3htY36NvgWRpXMLpLlexCGjayThLcU8bygOmiMsZRK0WTFhVE1MTFBu9NlcXGR4aCf/O4jtJfUkTwjBq9VsGa8w2CD1eGljhCNzhdZ3YBIBTF878UQGOOhTUzLk3lBdIhWGd5ZtDJUpaccSrR0MrzLEJdhs4y8LeB9cK18iXPD4FapQ53GrAUTrBhTxno/gnppPFVyQxM3KM7UaNV5Db0ZiM8bsaBNlUZsrsbb5i2aKids8t2WMBjnPHXYdN2VRnkqRBMrmG0muskeM84fqPss3VQwk03ewrYzfvf/fg3Ge6YvuojffPXP8Izv/W7+7M1v4j3nzzGx/WJmioKWFbZtn6ddhNsvOtNcde01/NV73sPcdMnU9DwL3W54wO4sC9vnyIqR4bn33rt4/Wt+h3sO7GN222U85xnfxZwQogLG0m3v4PyZvQgwv+NSnn7903nzn/0pn//ABBPT87RbBd/22Mfx/Je8gDf/P29ix/k5Vz/qMWybzGnnOdvmZ2m3Ozzle5/NBz71BX71F3+Oy85fYPtFFyBUvP0v3s4/f/lrFNkEP/TSV3LebIdA20+SsIrNCg6sE/GIhDB4UDCEwahZnOyTiC9w1qN+enT+aC1IQ9FXPsdHLAFvULWB+B4TUtUp6r4FV86D3c9qf5VhlSMsgOsydO3gPrg2jlY4lyswasjMQUx7KbhxEEOzkQMjipCRRsxoaU3rZ2PsJItYPYPBAGNtCAUbE13cI4h6Mmsi/2XIzHSX+fPmWVtb5cDeRbQKqQkjhaIR6xGEnOTe18CmZqgpUFMg4vCuj5phsBqy4K4agUyFlo8RrdLiygw3zKlKoRwI4lpgLZkUZFoE3FPDljCuLINbpcNIUkyYVAK/gwkijaTfJoShgI24dBNeT79Nc7d+aw66hGfpho+2JLJ/afmQKj/PM26+6Q5e8LyXsnv3PjIb3Rx1NWCWEvccEswxXJ3bglFEciq1POX66/iv/+3lXPWwK8IqL4rBxMSgIb4csrI0xNlQNrGyhunJFoWr2Lt/hapoMdPNcCp0WznLK6tkkzNMWhDvKPtD1lb7FC1LJUJZdJgpMrS/wnJp6E5NUqgL13ZDVpfXWBtWFBNTzE5NYrTC4YPp319m1QvdiSna3uOHA/YtHsRnBd1uh6HC1ESBKSv2H1hDC8tMUTBUT7sl9PsDsvYUHSP0llYYDAe0ioy+WNoTE/i1Rfq9Ps50mJ2fxZrQg8bYgCGRIjNHxmBK73jPh2/gjX/4YW67bxVrikiyC0AmgGWAkWGw+OqVwDdWpwjU+hy0TQJrk+uRcDNRzxMedy3XPGyKUvfxqc9/jm/evBv1C6ibAp/jVVCxGAmERSOr2OIAeXEXWX4fYnsYCVyTcNUQDFDJosVUYhgEJadFtOpGSakpgJAG/GhXCmrs63CiPuaCSSQOZsLE1DReYXWlB1UYz74m0cXghdroNkEgIMYETl/gpIOXPFg2rGEYxBQRg3of8ucaIXRDFs9lER84On5QUA6Faii4gcWXGUZb0bSwQRF4j68cVVXiqxLvquC8RpzKoOv4ZSHUH5pIxtpmTAml1ApG5L66rTfQezdpYjWU1YBrH/kw3vT7r+OCC8/HubB4bInJawyI+JoPA4GSHTKeR+CtMRmWoLFN1sZmOSbLcGrI8yL+JjyXaVpEkmFzy8y2ScZzO0AyOH/nZPwkmoBqmJtpxcYMOUl5t8tsNxDzfAR5jDpod5jv5DHyYKkMqM2ZXugwHa/lICQnxqnU6ua0yIOzZwym3eG8TqfW/lNoqLuSFWzf3q4bvi2hVEEx2SEwVC3d2Rm68a66hFQEmV5gcrqZpxw7VROBK0WTEn51GGn41MHt8HFSOtRUMS+owGk3uEUpl6YeRdGkbISRRxM1uEkaOyO3QlYYHJbe2izL+y+i7E+DKcKCEwex4sGDpcRmeym6t5IV94EvMVLg1UIdkhcMDpd8w1iOwZCeyyJajdxhRlYvpOaJ7bSFpVU1i7fpUMA5WDywikqGkGGkqpVYI0SFooRUjxTZCRc3JtxzIDaayDDWkLQWn6lO8NQA5HqoFZy3imRg20KmGeILfJnjhgVuoAwG4MughKTKMNKmVXTCiHIV3g0pyz6+GuDH3N/UOC56jg3gV6MBIPXj1c9Uc3WStbMuMzRRAsZ4cJF8673HR45OkiMrGFW8K8PgNzYwHaMyoXZ/hCzLyW1BZk3gzZhOAA2NwVcVanJG/lFjgIuOcIO6fILGkF9oIEWDpjcWL2BVY/mBAEaOqtGPhp4RDYh+Q1wED0UzEirlJYCyJprEsWgD4hUjPnyPYGN6g0QlkchdniqueDa4KXHApzxpT6oDk5yeUUBfcNGHFyKkWDsGph7cR+ifVB8FAzTaWC24FoHIWIXnEml0eXQ/6t8mkDS1gUJtn4buMtaQ5zZktpcFvX4MYZtBiOJojuCxZohYh5VVbLEHKyshaKgGLHS6HYpWm9WVFdywR8qZCnVpQhkH1RSC9ozxdBi55fUQjf+O4TSHai7xoI65bdOoluw/sIhISgQNWdwihpQRHmnC0WKJuF6Mio7ciSEwjPWGCN85Q7szweTkNL1ej9W15XBMUGvUKy0m8J8AcIhZQ1pCVljyCUvLB8JgNQQ3yKgGOeXAolUBJsfYLu3WBGiJdz18VeKqkHuV5upoKQuvTRMdU9um/C4ZGbtB0Yz+f7MxmULUmkqlRDmygpFQfEc1EO1CaUaLtRnW5GRZTmazwCmQLE56g6eLszb4oZlHsi6J/xDuf9zRS6tGMoSjoUqNR0RFYqiiRs5QSShCUEZST4YY2pQYdSAuJjgyDXwR4mqu0XLJohkZ7qMYa7qa+BZXhJBLFO7Xk9Vs25AimVyOLN5/UBkawdLg3Y+gTdD6von8BlNf6+gltIMGsF2qkSJPI6bOBhZC6YZ0rdQv6Ql8MpiD9eqHGAN5roDFubAfklCA91jpI/Ygxqxh8x4mW8XYZYxdwUgJajDGoZR4X4C2yDKPq1bxKjjXxrkJxHisXUNkGCdCVbc16S7XNc1YDd8jNlDIDVtbGZDnGaKtYDGm6BvZSLHVWEw4fyg5YUEL1BeB32MqoETiQiM+QyS4fcNqhcEwWDJB8YQo5cj18sGSEgFvIx8sZoubAUSwHSx5YckmoPCgVYEbFJS9Fm5Q4EqLeoPN2pi8IPMSEj2do3IlVVkGI4FENxhZLEmaIYU0N4MXZaK7rGOjZOzXh8nC3oIFA6jBmoy8KMiyHGsLMpuH8LAJA9JhMKYAaxFbYLNJbJYjVsD3kaLAj9H/oF4aa7Uy+ks0pP6rZLXJbjR8rthoAgQFY9XU88ZYj8OjYiNVnhiqi6t6nHDeGJAy8E6wtQITjZnPJqhD4+MAq+/V1hnVKiYA2qoRSUiTc/QcIdQZraraKIlJeNgQZpQ0lcO1jLqgIiRUnCH50I1W2rCQjFFBhQT6JWvERJdgNDKUZoundY7Ym+G7LCqsDKMFuRGKrIP4gsr1GQzXMMYgUmHyA2TZfqwdBizGt3Ca4aoJMKtk2XJU/BX9/ipr/V5QhOKBSVy1jbK/PSgeu4bPljHZCsYsgu03XKGG9Tu2K2SzNRoDvh5fGpVLWHx6A0+vN4gLY5r0wf0OC8MwunE2KuXoFvgM9QW+mqQqtwecLNuPyQ5ibC8qY4+YUCZ2aXkfEmEDZZRAGdIQTLyeEmoOhfsNNXyitS1JHZRhfFhB7Bqtdo/WlEWrDC1blIMWZd/iBhlaFqi1iGZk2sI7B97jqiFVGfk3mhaQUcs1Gbka0WFJ1mOKFKUcqUYbp5FTW0ZH4yKFCFLB1NQsNrcYk6ILeVilTQ5ZBtkEPm+TmSwoGghoer6EsA/TmouEqrRarxsMNSkqmI0qo/IM46tTLAUZq6NZE90hm6a0qRdqjQlptQke9+0J4zLeSaN+h4foLqUiS5GZ2uiGRAozEtxDG+/OQVQ0EhfbVIozuBrh+vGJffiFaIZXEzgpoqF+TRxMFUWcHIFq7r2t/X3UNjzM8YmlCdQbb80wCATq7Wcbv6HxfLXDkUBJiRFEb8lMEXlGnv5gGMdGnIfaxbnAP9KqwPuATYlZRfNFvE4ipg+U4d2uBH5OBKSzvI/6AeVggkF/J0Z2IXYNyQ5QtO8iz/cSCIIgGlIclEGI3JCD5jEdoWZuhHbXPNy/JEsjRsUExDbIaT7Yx6oGGxWyT6pWwzBRH3o1AOZ91FtctUA5nEfsCsauYLOQqW60F4mNIal0lKiYUJzIJZNUfsRH1yu6a2oQCfBA6OJ4vIaxYnMDWjGUPibr02q3KaYytDK4oWU4sJSDAh0WUOWIK2hlbYqWo3JDnCtxVRVZx2XARyWy6n3gGQW3KO5fFudD2JxmlHSZqhNKHPsJW02zZkvJjibPsS42uxZgWphsAslbSFZgbI4zOV48XkqMDLBmGZMvYvM9wH5sto0QlmwyFH19lUQeD5LyY2qIMXwnoNi4Cjh8nOD95UXuuudeSrHMzJ/H7PwsuXisVkg5ZM+B/SwvDVFy5s/fxvzUBMO1g+w/uI+yzDEYSmOxU5PsnGljDSweWGJtCLPz87Qyg8Ri2orHiWEwWGH3Hbcy0BbnX3wZ7XaG0YrB2hp33nUflW2x8+ILmCwsBlhd3sftd9+NaU1z8UUXUkhICwwEKA0AnYaomk87BMTs6rC2Ct5rmBTRnJcIPm5M06XB46h7sW7Dw3a2pGB+sIJCzZu6B8hyUHGs9gao2rBSe4P4aRzT1OuZtmI/FVRVESgAPuAfNutj8kWyfBW0iuqvIFHdlQ6V7wLToBPYvE+WHyRgHdGNlIodO+Y4uLyflTUdjaCmxQKEyFlSOiauyvE6SeGrBk5MTBBttSzb57dzz32LVA7U+IC1ycjaMPkqhdxNORwyHGynGlwY3CXbx5g+VoYYhkHB2B5iBhg7BFNhdAgS3KrgmoUxH23reP/J6or5VOTx/xVUKcvEqLdx2PQQK2imZC1DNpXjqwI3zHGDDNc3+KHFVzniLbm2yT0Bs/FDXDXEVVVI7NQIWpto1ddOlatr8kjsiZBca9BKSaVIm9bNERWMV0FNC7UZpphA7AQm76BZBkIsxKRYWSW3y5hslcyuYrJFJFtBzDK4PlYGtXnYtEdGhsyI9bGR9LPJBEIw6jmwezevfe3r+MinP4m1BU/4zmfws6/6aRa6AXRdW9zHz//Mz3Dr7btxleHKRzyG//pff4HywC386v/1a9x53xKFlBz0OU96xnN5w3/7cXbfdCu/9Mu/ykHZxuve9FoumJ+MvB6DMUG5/O8/+F/87bv/isWh5frn/Biv+rkfw6/u501v/D3e84GP4Wjz7B/+T/zkf3ohuryH1/7Wa/j05/6BVc34j694FT/ygu8PNqCJFhGCehesLMlDlV8JVfI8MShBGFDEdSRkpR+pB49Rxnyw6KJaQ5aHITPoDWKEIfBPwrhLEyPiJRIIdOokBIF84Lp4N0SqeapBn5DNLSgtnOsE7o5k0eLwQEY1mEO4EJutghmgOkDtKourKwyG4P1k4PtEi8FIcAHqcHS0nPE5KsNoBcY0lXjLacM61RJlyNJahcMh0mq41pFNHBnfpthNkS0idsCwb6mqOXw1hZMBlcY+xYEZhBIZdoCRKpbOWMWYNYwZIHYI0sNJGZjGPtSzrgc7nhBBDYo/ywLWWVXBokv5fFrvqhkiVBQ9bAHFhEVcjhtGV2qQUw0sWmZIlpG5SbLcxGTNAVW1ivcD8FUcAiZiRCkC6YIrSCqpHljGrqqoymENlwcn+wjiyaC1jazVIbDVWniRyE1YQ+wq1isXbK4AACAASURBVPbI7T6y/CDW9kAGIHG1UY96i2ixlcs1PInmCjy2JsUPDJRrvPPNb+SdH/gE/+WVP8m3XLyTKp9GreDUYX1Blnd52vc8m/N27OKem77E6974R/zNox/Djz3vqfznl7+SXs/RO3A7r/rt11NJwWClxy+98uf48Gc+Rffyx7M8LOvraiSEfeOGT/PW//dPec5/+Am6vsf//L3f48lPfQLTS1/nT972Dn705T/N4L67eOdb/zff/thHsPyvn+bvPvRpXvELP8O//cuneMPrf5dvf9ITuGrnttiJkWiWGXxZBRwwN6Gz1ZDnOeqgEiGoza3vnHh8klo9vLLMhnwfhV4/9G+wisw41lGvvInQlxjGKZfGgCvwvhPcALXgWyh5DOW60crtcyq3A63mMWYV8gNk+X4yY1hcOYhqG612MuzNhmTO1n4kOwimjFHEURAgiB0pxmTRJOgKD2KZnd/OcLCE92sggvFt0Dw8i1oqN4l3AVsyFjQroVjCu5nAJZIhJltGZBjaRQvQNlp1qNQgXqhQRAaYfAWTL2HtUu1miQyCpaQhlymVLVVGtWeaSYU1FwgT/05uSkzykApjK6Rd0moPyX2GVhY/yENUqp9TDQrEZ2R5Tu6n8NqmKgfBwnEu1rG2teUSruviYk9UeAFQbhbIOuyMFwK2UGYF2FYkXgV+gGFIZhfJi/soin2IXQ6+tfpRqKueBkIiKo3LCKEHKIf9kEMkI1+V+C/GUBRFPcBFhIO77+EfP/pRnvV9z+QlL34x00XQyENN+b2QT8zxohf/EMZa1h7xIP76He9m/8Flpqe38dTrnwYI//Sx9zHR6vCE6x6JFpM8/MnfybYLtvOhG++u1+NRRMvyL5/5LFNz23nWi36ES4tVPvaXf8n7PvQRLtG72HHJpfzAj/wftO69hc996uN88pOfZvhvn+GKRzyCp7/oRTzpUVfw9x/+D/zDZ2/kmud+NwBuuMpfv+cD/OMXv0a5dBArwqOvewxfuPHzrCyu8QMveAlPvf4pdd3eup6ujCbHiZe0ciqJgp+sF8XQHwwiuzVlW8cwtzS3lUk5LxHVSjWAJICpqkXknWRBCcWfSSPSpWpRDZiO821wbVTbIBYxBapdqt75uHKeqhqS6QS+aGGyAxgJGI2NVZ1EQ/+FSZJIh7FyoVSBlqCGPfctRzynHZN4K1Ik2fsCHc5TDS4IQWvrgAznu0EJ4bDqyLN9ZO3dwQ3yWcCCfB6wS9/Guy7OtXDVLFrOkakNkELrTvLiPtSuhdmTqgESko1VA3jcrG5YFIGHNBgMAm0k5dVFd1dxgS0tDqUXiJA2wxZD8kmhXVncMGPYyyl7Ob7MghuVTSJVgXfBqqlcH+8U9TGhVjMS5mWouyy4SpHzc1gFE7BCjyHkRYRs1R5iV8iy/RTFPvLsAJlZxeOjqRthWYEUjgtga8QO1onXUbr6u975l3zs4x8la3UCOBvveFBWXHr5g3j5y1/O3PRk/dvFxWUWD+5leMtX+Y8//KPMzu3kJ172Ur79kQ9D1IFkaG7Yc++tfObjH+VLn/kXdu8Vfvjh14QGcSXQ44Mf/gjz51/MI69+CK12h5/6+Z/nL970m3zwhpuxUAO5YfIYFvcs8+BLrmRicpKJjuWyB5/P3j33MidLXHnZlbS6XWa2z7NjxxwH9u+nOrjKw66+BmOEiy7cxfa5SQ4cWAwDyCjqhtzwmX/gz97/GV70A0/n3z79Ed71wQ/wzOc8mz23fpk3vf71POTx13Fpt1X769HnOFyE8IRLlsUFQoR+b1AvIuMpDcnnSGByBCxJ7NkUnk2EzUjJN2U8Xuv6Kcn/SyB68BO7VIMObriAkbCLgfc5XjKghe93qQbnYfNFsvwAJl9EZRVjklXtaiAyTNqSemb4AP5WLqReKEWwYAjRr7AFRQ/Tvpcs60O5HV9NB0BbDSJ9RFuIWnQ4D9katrgXY0NulcYcKh8Vp/cdXDWNH87ih/P44Txa5UhVkHXuxNpV0qI2ul+pX6nKZHKVjAltacwQFRPxSgNkcS7G6KDxeB1GpStILmS5IZswgeQ3aDPsWap+hu97xBqK1hS5m8BHN8iVZQxWZNGSCdQF7+pQaRgzhx9SgpUB3fadoYKYHaJ2GLN2+1hTIgxDRfeYpyE1eSsaSGpJGbKJqHQoedKTv4OrH341mJStHU7jvNLuTtDtdmqSJCjGeJZXetz8zbt54Q/9IB/967fzu69Z5Hd///VctjBJ2pD9vrvv4q1v/l/c/I3dTO74Vh50xeXh3Dbjvlu/zic+fyPXPOUHuWRhLraLw+gaypDKpGkUNpCTWCy7Uo2BX0GyDKsV1tpAaVMlExuYzR4cGRWeErCSUagnM6OoWZbDzOwcj77uKfz6b76aP/4tGN74TX751b/O19/7Dl71O/+T23fv4bJLL6wB3/BHAjdPlsPUYLMC1krwTMuSsqqCO15/27B4VAi8kDgOpBFri31XEyy1II2bEbui4XKJC4pBokcveYio+Wl8NP89SRe5OHEn8H4KV24Pbki2hM33kLXuw5gloMJoHrGZKt5THqwlSsQ0WdYhuidiCXVzPCZbxOQr5PkB1HVwvsCT410b72fw1STOt3C9XZjBLJktwaxh7Coiw1C6VEqsLFPkK2i2m6rTwpWzUE6iroBqJoDG0mPkzplGGzGmZEbb2aRIVGi/mnpa92PyJKLbFRNcJZ0nhzyHrAs4wfV79NcsZb+Dli2MbdMqihB9qirK4RBfgauEwbCkNxgg1tTxmyOCIkYGFMV9SD5AbT+CZAS/GQH1eJOsEB1pzDr8EfxplZKUMzHOMo7HofzLjf/EJz/5KcRmNV1eBSqnXHb5FfzQj7yE2anJEFI0Hu8HVFnO0573Qn7hp1/GI88TfuUNf86tu/dy6cIMVkK7Xn3Nt/OOv34/N37+H/ipX3gN7/zbD/Ctr/whMgxfveGL7L53iVdc/1RaRlANdWpt5UZbicSp4yXD0Mf5Htg2IhZcyA8ZqlB6j5EMi6Au+K5V7PhMTIBnK8//3965xlqSXfX9t/auqnPOfT+6e6Z7Zno8w/g5eGwMHowdHg5+hIeABEUhhAiQg0QwIUREkQkgJUqiCKwkJMoHhAkk4SFwgiAkIAhKjMHGYIOBwdjG9tjjmW7PTL9u376Pc05V7b3yYe1dVef27e5rPCaJxPa0773nUbVrP9Zej//6L9oaEheIhdEjqh7nRpTOUUhkdXWTUTXm1Jl1ysrgAl1PoutT5wcm5me7FYWd8E3TUDdN0jKzBTVc+IPI1qDMR0cT0H+SbErl7QDZmW0CK4dpRd0AMxiJTC38LtnRncxwDJYQdYS2I5RVpF3Dtxu0zWmK6ipleY3oDhCZmpnXZRxXaLC8qthWvVvJBbyb4d0+TvYAC+t62UOKAzwOFWdChoIQlgntCqE+Q1tv07QFEIwHWRoKDTgJFtauruKqa4jboSyvQbtkZXhkThf5SuF5sotiqC9mfEoSEAYjsZI9KgVdxU1trA9EjN5MBnME+QBQIoEWcQ5xQlHOWV72lpJwWDE/MJAfbYEvPL4qIUTctLB9m7TSrNXeOUztIlrMOxXWJcRhVxxcXEd2Yza2TXSukatJ6Fi5Ttc/S/dgyauryn3nz/OFj74SKSoynkXF0cbI1vYpqrIcfNFRVCPK5YpibNUTV1aWiVUf2G5itMksSibrZ3j0i76A8+eWuXDxSeo2UMQdfvGX38F9Dz3MS194HgVa8VQUCKO0aLPjMqCtg6Jg7e6zfPiP3sd0f58Df4OPfuyTvOCr3sB6qHjnO99LfXjAtStXePrZa7zqS7aYPrPKHz/2J/gIFy58kiu7e2ye2u5qB4o4VCpKWpxG4z4OHtdC1DkRxXcp8T3Dm4H4/rzEC130om5NwMjCZC72wgAGlqbQo2JTeskwTUEHfrbsPMxiM5kUopnsPX3HmY3fR9XsJLEyNAFc9gOmfCYqQtgktJuEepumuE5RGcufYVocMZSEZoW23YB2BbQi4ogSkWKKkz0Kf0Dp9ylKQyirTDvMkaji5BAnNb7YQd0KQWbMFer2btAJIVh/QvL5SJgiYRvf7DAafwpXXEHKy6Z5awky1ES02ypHm3OOoihoGjP3gsvjZ9tbtBdKMWkuHR4oa6miHY5IUxqEkg4/mUNxSFV5RmvLxPmE+WFJMxXaObh2wlhWGY0n9l2z/dHes3brZn5o7ZydKjnPJnngSaougnZsaTm9XXCUlkGay4kCOeVzMQVceOQVn88jr3jlLfsSbIQ65rIz5+7nkZe9nN/65V/i5+87zc/95H9hvH2Oc5OS7/8Hf48zL/wCvvILH+bX3/0eHnrkEd77K7/IBz7wMd78N76TpcLzkd//fd79gY/zFd/0bZzbWrM172zBt4mBTpPt+vHHfp9//q9+nDd955t55Ze/gR/+2f/Gz/2Ht7Elcz7yzIy3fPVXMNr5BD/20z/Lf37bj9BevczVeonXvfa17Jwe88v/7N/y9p/4cf70/e8mrJ3jda9+lBbwGGF2GyGGYC65RK9oYxSRGDKYFESMNE0zsM8WBQaPSOao0LH7k7TNjhnuNk3UxherrikdL0oiw/IOLzAOh/hYm7lKTrIMqKttvGJFH2bN5lDqjSYh0Wk22TOYI1KaPgO5SkH3Xlpzdh0TVvZnS7/1rAAb6bvKMDdGiLqKNivEJlhQQuZJFRyhcYJSkMuRRDxIIEYBJjSNEJkRRxcpJk/iywMzM+IS2i6jscD5AG6KS1npbSKG6gSsWC0uZI66mfUtjoltwdKkYvv0MnU9Z3dnRgxp/NSlsTD/ic2pQJTkfDamyUFcyeaDGR1YM7MG6pGcNWJyOdg1M1aqqw2PJK3JShGL30eWpkzGYybNyJzDBzDdb4glqNOc5gdywrIlrjvFLfQYsXyLLsNUMKeYZEs6Yzssfp+B9Nnes52QHH2Sy7xmj0Ts7e8jzTN4WZVyssqbvv27uPAv3so/+b7v5fSDD/OW73sLa+0u7333O/nal38ZlQi/8Paf4fEf/VG2qxW++e/8fb7h694INHzywiU27j3Pa1/7GsaASqTUGqRibXubB553LyPvgTmPvf93eezxC4xWVnjpix/ke779m/ixn/o5dpoRb/qH38cXvvQFuOkp3vymv8lPvf0/UY9P8S1v/i5e9qLn4+/b4Jv+6I/5mbf9MHujDb7n+/8pD53ZYK42fsSC09unOdc41Atr26e496wHD9XSOvff8wDLSXsTteRMlWCZ69E2lai3nDEJRHWJdN/MC6sskJyVnVGVUyA6TwPZftUoqLQWKUDSJtxnddJyzykrer+13HLpoEZ8gQsR52tidQ2RFm2XkbCMamF30wKN2VE54I6NvoeXd32JOMkcJSaYlHzCpu91J3IfCABFXY4S9f67hVXUpQNk7caDptI4KdJEZ3amJa8elzQvjRVBStAV0FUIagEQRrTNXYT6tK370TWcawnNGqHZMg2iO00VNOB9TVnt4qtn8MU1vDsg6py6nli01EdiSAc0av4iCZR+RN1Y8mpRVERtiarENoH2kgtbyakpfXoCYuktURKWJ4YU/QkWYUvo9G7wkqTI5WckZbebWVojVY2vYLzkKTYCpXMEbegJ5uKd+GBKPvjRP+bNb/k2KA+7za8uOXMTtBpp04mV6Py0AJ1g5VHnaOv5vIe/jL/7rd/NIy98SULn5jLw0MUAoXcMHqsM9i1qC7HFiTe6xoMpbmmVzfUVfvPXfoF//YP/hu//d2/j0Rc/yPWdqxw0kcqP2NjcQEuP6JwwO+CwdiytrjNygotqKrYEmv0D9ucw2tpiEg546w/8Yz604/jBt/5LzqxUaDhk58YeB8GzubnFxHsKAk1Ts3PjBuoKNta2qApFCNTTlusHN5iL48zmKUZYIF1dgOCYHrQ0ElleGdMcTJkFWFlbxtV77B20FOsbjB0UnVlklAZtiPzS/3wv//5H3sGFKzNComjwOIS2y0TqmWXS8bJg3phGkaig8HKAlvsUtJQxIjJlzTV841e+ni957Su4/uQFfuin/wcfvHRIUVX42FDKFFdepXAHOC1o4xKtLhHaZUIwIFyMyylU69MUxxQ6hqOJhd1rORrVRaB08fPD1IfnLGaf+qDJOe3qdNhXtnncPuL3rAd+Cm5KiGO0PUVol0wQpu+ojrEACGQBK2LVHXx5naK8ivO7iJvi3BylxnW1z7OwTFgW5xhXE+Z1Q4xzqlFBPY9kNj1oOiHaIbch5c7RCZYopkmJBhMyGhANqFjqwnAYOnqKHLgZhM1dMnVbNRbAleIuvve7f4gveuUradoZIvEk2dT0gy2KSva6V6Bl+rs2n0kcEcMqGtYhrFv4yh0gOmcWPIf1fGBLmlQX6XOOh1vgTgtA0sncUjBZ22B5daPbeA++4CV8zz/6AV780POofcnGqbvYTNUao0JQJVJRTiq2Jxb1IUl74wURipVNtlaEoIq6itd/zdfzxeUK66tjQlQKv8z21jJbQBvNz6B4fDnh9Kklmxa1ioKKx49LTk2WbOnGnMhm6m8Qx9LqBBFoozJZXmECdoJUq2xUNsm1KIUO/VzGSzxvo4UqowH2LOKRvOlJYOrCRkz/lzzFkk5z5xoKv8NS+TQ6uox3h/iotBo5t77Noy9Y5p7TJeM9WCueZHWyaxUlY8NIE1GUa61v/gAvjliOiHFMpKJtV2ibbWi3DKiWMJ/Wl0w4ZZuwswmF1E8/WPy9E086qP1no6XNGs1UMvBeicZVYlg1X4prwM3sYEp+E9UCwjK9VqbdMxmtQYG2K0ZWVa8aXsfXlsdU3KB1N3BFKjOTxkcVlpY9p8+scHBjzpWrM6LWSCKpt4EqMSsj63V5vFz3LDGSqhlHnPaRO+mYBPKjZ1d7Wje5RlTWJrv9YiT3EYgx9BZNuvUJa1OnAUrsWaIFuAqkNJUJR9usEOvTxGbThIwmugKNwJzLl5a5dGVGGxRfJPUrCZjb6yrHNenCYBFjlC9VQC2kef55D3L/Ay9ECTQobUxlQBK7mJOYCKeTqieZfzabCyaIVINJf/G84lV/iSjOiMY9tBpxmpx7Oc0l+w/UdTwvPbt+nU6kgqBqeZeJl8YSHM20AbG6yWJ7LDrFwqqewrtkG/djdjibcvnqdabzGd1mzY5fsXPGTNmFF+n5X7KQEWBO6fcY+x2C2wU3JXqlbQOrkzXuXi3ZWFlmXir3rgcev36JViapBG6E6Al4glg/HVMrj+Jv4PCIX8MJ1JnsO05sDZHwMEOsRjcXOTSrDMvo5tkfmnn9EXW7NtxGt1p5ya+kWQsYW79yNFQrlBJ1TRrHVeuLWJqB5Lyy4V1y6oO4ZC5WSBwRWSISkRBo6gaRmaUUuCalPaTkUDdj93pN2yqFLzDOnKbTuEVzYD1ZFt2zZZahI9EAHf6iN708jFUlA7T/K5mtiezWMHLOpfC+LlzpBAJGb1rUCsTQJIfeEk19F229hTbbaFgzCe1yyRKDf1++JDzxxC43Xn7A6a0EljM1hIW8PE6i6SpW7D5HpWKKZiVnmJDwMo5CDWKfC2EIqQQLheXeefOUO3Wo6xdw5hS2AzQ5OxUqQ+h1HRZShnlyjOUQrdUHSnpZ8l1m95MlfpvgEiV56u17LnHCWLTEQq5Z2BStrdtIxEeHusCz167y0ScucjCfIoVFHbSjArBNmZkI+6Q1o4TIUZwcZhbZRdwOwc1MowkTgmsZ6ZzzW+uUpVU1XFqZ8IL77uFdn/gorTq8BoJLTHAi6VkSUI1AJllycogUz+DGe6ArhHaDen4XGsfJXM45TF0cCRlqM0nDyaKn878cYV17LprNQQtYDSS0NFCkm4FaCDnzKItWNjFa0UfIkrkSPeaQLpKZl9aFRoKmsiNikRshEaW3pjlL3nsyR5wJk8PdOc5P8e4stb9BUV3GF9fN/xSHfEKLT5M1GCeSgWS4mL1xxwldTf9Lfjvpxzqq+Wq0W8eDet5JO8rtBHwwAuKTvPJpAIOp4WFMM7uLdn7OEs50BFQp8qDJW+7QCHsHc/7wAx/l1V/wAJubL6BATKOQ7EyyFlWyr+2209+hQ9MAxAQ6M77TaJndKSRaLJzSvah0DqKUhn1RSy0QARcD4pL3fCD9RLLGm3d9j8Fw3bJ36e+IqhUjC3hEMreK9TmqpGTl5HDMp5Dmwy8Jq4XQbka/mulzMD3ksQ8/yQc/fImmLaFwSWANs6xNsGrMRe1by5Hxc0OeujnONzjX4plSFNfQ4gBF8VEo2shqhJc9+HxGSyscTqeUVcXZzVMs+ZJ5tOcPaZickPwqrnsu0OSEbqCYURRXETwhrCPFDWK7ZomOcQRhhMYyhVjz2GfBkkSK9MIRfIKs9+r77dtxK0u73J6csGnXyloHaR7yvGs3t/nUMBiGt+9Ikw4ZT055VDAhlcFwMEgetAOsP/0zIDUDESsI5qCFRLGAEt2hrWtpED/r+6r5qRafOIdfpCv+NvzU8U2ziZe3afLjKB5xjhADwuyW3z+BBpOKqmsw5xwWCYphhXZ6L83sXhMu4vtJIHtUUp6KE9qofPgjj/Pb73sfd9+9yfkzZ8D1dl+v0uWNemfD2taSDYCmyIN0BD4mMJxEXEy1myQTQGgXNCDL/MQ/Y1ujRdWKceW0QjOgTGB2ji5N9mx+2pxrJSYo6YTNkWlMizhK9vQLPclmPmusNyGNpSMabUAiJ6kV/vSJZ3nXux/n6WdqlCVcigpEtUQ6qzYgOD9H5MCAXq5NqvfM+Fac8ZbgGgpVo5zwBkwQFYrQcma8zD2nzuH8EqKeNkYeuPd+HljfYnrpquGWtCQWRTogEitbXsbqQMtOvDsMBezlkHL8BFEryjAhxiU0LhHbJTRMDCwXKogTIqN+TSF00P1uqwh3Qorfug3NBBtvm5bsFoDOJidVbhhoz336Q38t66OhhS35V6DjsbHPSTIxbBkX6btJpZcUbZPBXhLLKfKxsvtGEpBuZCp7B87L6ywvJu36tSh8TpI0qzfJZEEQV6SnVry4xQU+AFPeGQcjGKuTT2UZYmHOutlZ2tk5oq4lprq8sWc2ONF3doEC3lVcv3GD3/jtd7OxMeHLXvNqzp46xagoF1S64/hCb9m6zzpDz3ZCw3fuQkcxMM2NnS3Jlf4ZU1wr5x3heht22Js+/NmrWIPqy/m/wXMMsD9d5ARI1Jmxezmd0m542hTd5+wRvZ2EquzNah5/4ml+5df/iPf+3hPM6hrvC0TniCiFtLjiBlLsGTeJ38P5G+Da1AUzO6TTAhLZUEpQ8yFSasuSeiaqPHzfvZzaXCeGKS5cRycF61ubvO6lD3PPUxe4PG25tLPHs7Mp08o2gvW7JNdqsoG254zd2CpOGhwNWu4n0S+WkRyzwJkQm3XTcuIyIVpxMhIlqT1PWAQI364tMNz1c2fz1WNzzOQ2BG4eMyWHt5N2mw440wpDek5PrrXRC6iktSQfUx/WSPfuIcr2L6Pkuz5mrao2kytW4HYoxk9RVM/i/N4gGjfUhEjaVh9L7Em5TjZgGe+WPS6aMGyra0sUVcXO7i5hzuDQzeNr0a8TaDCRFgPQKSWh3qCd3UXbnCYyISQJK5qlb8ZXNFgozHI8okZcUfKJp57h5//7r3L58g4ve8kLOXfXacbjURrPPAA3P/6CldihiJPMl4BP9qeK4XacKq2zUqqGBTHtJp9GoqYXqChNcr6WqiA1kSappmJITlUKJeF8kk+GrPu49FtW4TUJqySiUsd7ulDtlkBAKFLmedZmBKsKmU/DHFkxVrTA9RtTPnHxEu/5nY/xnt/9JNd2W7xTvN/BF9co/L4RORW7CDMLpUpNR/qtPnMWWedSEquo4GNF2XjOlMIjd6/y4Jktzm5uc/rsWdZWxrRhTtApS9tnGC+f5zWzF/Glr3qAjzx9jcf+4BP83hNP8/H9KcFXRGkJzlDcUZqEBI+g3nwaYuaTy47tLrExQnJqOnYBTxwVhLgM9Rm0vgvqbVQnmHhP1A5DM+bYlZNNk7y5snmdfAid7yxfIxdUG87qomDo2RaHaBzsu2kjm/JQMYQJ9NpROphFEBqi5mfIuXgZt9QLPkmHpHMzitFl413SIbo7AS2Padk871Mxjo7SQPiS91lv4uUoLdqwv79jOJy2pkNVqyzAfZATFV7zXV5G22zTHt5PbDcxYuwslel/Zuku+YZ5MkF1mdn8Hj72ceHixcd45++8n7N3K8tLQuU8Gr2hgXGdUzTJnaT4JYRnTMCnZN/3YbOUza022FFy1m5KCuz4VS2s7nSFtl2mCZsoE7weIu4G4g/xvkU6e9oiRjbFBTEuE+IqMU5SJChdmwoDFrY3OdqGJmD+LQrJL5N/T1sgPY9pZHYaRm2JAXavH3Lp8nWuXtunrpWq2KesnsEVxsvjiplBu6VJAs7oTaGAdoy0I4JWBAq0mOPKp6iCUrUFy+q5Z7LK550/w0tefpaXf+4D6LN7lKfuY/nBz2E2nzHaHoFaydjl0Qo3nn2aR156ns2tdSbv36L6k09y8dJ1DnxkWvXs+RpLxNWoMx6ZjutYe98SkjhNOpNFUdqkeRWIawyRKkIvgnujuud1ySHV5C+kxUnyQRUz858olnRY3EDKPXCOUG/SzM8Q43p3VTp9I62zAQ+wugKJOoAADNylXV+yGyCm50taUBIVEpNpLINE0AE3bu6D/ZePsTmqJW27gSv2LIFTg40R2VT0SfPI9zK/DdnsStqWjVLo7pH3cJeqk6g7TTtRvJo7IjaRurFSxeIiGq00UVmZlpPF1B0EjFLKKqPwEPuzecoU3QIdJQdVir4sZC/aQPea3cC+1REaRrTq2WtnPP7EE1y89AkKf9U6rqUBzwRQh0Qj1Y4YAE6TgHGdgDmq6i2eI71tlAcomW00tmnDKu18i6ZeQylwxYyiMIJqI86q6ZevTVZot2hn52jqbas1TWQnTQAAFA9JREFUpJmhNN9vaM9/hk3puJw05ChFCdLiqppiaYeyukRZXDb8ASakY9xAwwQN4+TLqAhqtaFcNMdhYIT4PSYru0zilNXguWdzgxfffZazGyPW79qkGAv77HHjwoe4fPVpJuMJKkrbCJ6asHsFWfHUvmW8Oma7qHj5ufuRg5YnZw1zxULvPqJhTGw3bJO6hkBjmzVnzsciVRsoiLG0gEGKvoToCXFi1AjtJjGObKY7zcMY5wSDs9tcF2ZKUCb/0wFFeYNi/AwkMKAQcG4f3BTVinnb4KTENt640x67FZBqULkE8ovZgd05lrOPY/CalmldtJaQiJp5mj6vkqM02azgiHIxjN6WpkVLQMIq9cEL0XaDcvQkvrwGrrHCctkPI5kiY3BRdUkQZ1hG9iu4/JXuu12UKOcqpWikGU7pCTRhYALcd9/9nD9/LyHkKqV3yEUKIXDP2Xt42YtezTve9RHcZEIrAZE6DX1MKuWgs7drSbI5pxAdXjfwrODctU6uW0W9YKq8S+xt0liaAR60tO93qt7iZCz+HOprvXqbRYDzLd5NKUcNSEC80RkKM4RMEWCaWNQl5vXdtPVpQthCZQ1knAa6xaXSFVCiC2VPPoMWc7+DpcBriapLRdAF5xwhLBHb89gm9caNEo3USOMYiWMiJUFKVJqkH5SoVng8RVil1IZl9Zzd2MIXBa0KVy9c4eyZNTYfuo/961epZ3uMypbioKX1gi47lu8/Q7m6zF4jfOoPP0pxGBihbG4s86nLB2Y2i0KUxJC2QYirgJizWVLCgkoSLBUaC2KwMVQtk/CobEwzGE8MbkAWJokWxMwlQ72adE5u1KLGj6/iq6eR4lk8jW1bVUOzptytqtzD+0+h8YaVwI0+9adAsSoaPTBRkp6aghtdXyX1T7t+akz+s0H4vdMY5MTkkmntplOHghA3YF4RwoqlGxT7ODdFZJqoIWY2Jl3KR753Fnp5fUN/GGczMgumHkfSZyTmn5aakTX47a1TnNo+TZjryYB2MSpra2M+90Xn+M13PU6kJLpokY+Q81uE0HXiTqOTCG6wSY1hidCuUFRjIlM0YSbsdGrBrkwWJqoFRGdqs4Rb2pp9k27C+7KpLklhNVXf7+J8xNIdsOtqb5PnAY2xpK23aZttYphYGDWxvvc1hAbq8HPRcohcoAN5RTtxQjuxcK7eBV0FgsFjK4aSdrYoVWqzqbW0sXQ1iqeuz1DrErXMOZxF1pZq9g6nVM/UfOiDF3n+w/ezsn2KlWWBJjA6hGqsRC/s7c5on6m5cHGXa0/t085a9mYz9hrHLE5Q3xBipG23CLpK1Iqoa4R6i6iVOSad+bhMyGRTKUeLTM3vtUNMk5VAj6/JDtHBP8XeT1gUq8UUibFEmtMo0ci4ZQ4YtgeJSLGLl71+w6VSusSJIXjTJtUEBgyMbC2EJbRZJsZxOnAj+Drdv8FZPDMp1yMjmYpLCVyYKjOcYPtAwGhbPeqC7Tz1xOZumvoM4qYU5RWq6iLi54hLPqaOWgVs3SdB0wmcLDSy9p89MhlBmhZVB+DLQih9LnoqP+ElL3ppMnETJoYTiM22nvKG1z/Kf/2l3+HiTgNZhexIa3Inckjt1i2bEqHDAJbU9Sb4uymK/d4WBJyb4uXArq9lCgE7DDZbp9OhvPXNBncd/uhr8loukHOZGEkHg+kXBhUEJzXV+BmcD4R6mzZAjAU4EzJ2uo6wRVCfoF8n6LlUg1FL0y/Zrq8IcZRU8TzuSa/sMpcTgpeWQq1Mip1mDUFbolbMZg9wPdbU7ipy6QrIIaxWjIjET+7zh1c+zPJGycrZCUurK3B1SiyUeVSufuIyYV6yN1fiYcu1G1Oeut7y1OWSveYM82pK9J5mdh9tWIFibodUnCSNoEY09nPS2dVAhq4L3YFyU+5Rd+pmGD5pXdpayftIdZUwGxHn5xCZWZE4N8f7WcoBMtSs+hqkRmgMfOlSJrTbz6OPDiJDDjHtKo4hLFlKhJbmPpDWtDTmiWEulSAJa8wPn4fOz5vLQFoyBccd14MWOLV8P0ETT24qcyIOVWPI02IHi0Km/SkCMQXIuxsFq2SRD8YU4Vvohy6C9jpfFLnSpRlLsXXcfeYeXvOqL0ZjxsTLyfSyGCPn7j7FG9/w+fzHn/0t0A1btGLENaaOHue9v7kZPi3aptSCoCO0vY96f4PG73cLRBTK0dO4yROI3xucGiEtoMwFmoXFrW6Yf3Fk97akXWqgQWNfl/S3yezj4OaKc3PG8gxt8SyhWqeZn6eZ3UOMq31+lva4l+ei9cjWpJZH3y0oKyuRCtrbk3U/XVfWtHeWWrgYhGTexpIojiDCoa+Y6ikO98bszva4by1w10pga/+AlYln6ZnI5AmPjMcwVVxUah/Yr2v254fs1YGDGw1XdgIX9idcac8y03WLMPjGcnfUWblTLZC8CVVYVNf7J7cTMDt689ia8JChSt9RP6Tx6nifFXE2vwqIjgxjIyNaWcE1BbmqlUhjeCB/0JcdYUbhD8HtG2+MSyZzRknj8BG7vtsHd4BXEhguz4cdWuYrmqW6zYGyGiNa0LTbpiGdSLzYNXNVIjrhIiBzcKahKwUhrNK263hJAjOF22OX29TQu2HzeOc+DLWZfk3Fbo5yocCkWMSIj56vfuPXctfpu4lzoxu1r9+Bk5duelu+/q99Ke97/0d47MM7+GqJkKr0uWwm6MmETDZboqTwXxwTtEQYpYUkBosvd9EUQTHYeV50NsF9vP0O9xrc8+ZKgNJfJ5dRFeg2ZYcZUEStSHspM1w5RbDqfjQVQYq0yFOi303k5n+21gOtBgtg2P9ceuOmBZG9U3baWuxjjIjgqJFkXjgVIiNT+F1F0Amz+QbPXt1leeeAtapls1SWCmVcBcpqio9K0xqN6ayN3Kg9u+0SN5qCWSiZy4RWlkFHoAGiRY0QQXRE5oeVDvqQAWaLT774Wk8qJdk3kG0KPSKcMu9NVvfSEo+SoYvmM4xdHh2IluYQjivQBCONcnuEYgdfKpVP5unCfKTH6nAt0VIJSPfNzHMxJSM6cFqAa5DxRVx1gMzOU8/OInGZO6/lbLJg18R8lZrZ7mLyheqIdm4+OFcu4Yp9vG9SiZRAlKYHE3c0LNlnkoV+xvpYUu4idsiEi0sR4tB4Pv+lj/L6L/9KYmNhdNWkbXJCz1LUhrNnNvjmb/wKfvCtP83Vgz1kZCkBMRQ2cCeRLfnkEchgDEse04GzOILfRYtd1M1tEjU5fvN3dChs7nTDrKhlIRXSInWDf6b6aua/gAVzz4ZWTP11QA77dvs+momYEjw7vpPulBgOznDjyJHXZPH3YUSkI5BSyLiWI0IlnzD97WJ3KdVMG9Zra5IKaakIEgsUaKSgoWLarrMTGi4ctpQYD7HS2PRphW/NWxZwtDJm5u2gUKfJxGgQKQw0h9gBNNCo9KZ+Hx2bQf+74RoiZl0Hxe9NpXww9BiT7j3NUcgUGUp+Lcvsignt4Sy6JC0ymiN+jitq8EYWznCzScSSG+m1q+Ghp3kzWkpBhiPY/NTgPMEdgqbEW3dnF0MPoMtaBoOfGY4hBEaEZhsXVnCuxueE0/IqvryBc1O7gpIEVKbCyGM+1GKG9wDVbBoWxLpgbekUf+sbvpXN1S3apqWrfZYcSycqVKRaEOqGL3nNS3j20mv54bf9JNdngWq0ReU2kTbbp3e6EnSgHXW2ccSq3KEjNAGniuoQVzYQl9C4hsYClcPkmBNgnib4JAImbX5Sun92qiUaT9sxwUywBcTzooajWhJ1idAKUSeE+rSRS2sxcNAdnZCbJ+jmEbnV373/J9N49ZEAey+nRyxqLnmBQ5fHpIonFyBLVJZKImgKVvObRA4lLVHHuGiJjo1rqdUIrYIDNLHye284I7HStiIlTj20KYcqJT9mr1s+DLRjd+tNHgZ97nOu6H4ujmL2SSXNNgt4ksO385hm7XM4pGJgS2LCncR0T/PtZOUn4qGdADOcN7+Ko0nIkAztJ6XHJG1F+x4uCExnUAeJiYJVjK+HKKCHRr2p6xkny+1aD/gNdLl12msz9lyWl4d6VNcJrdDS4NwG0mziikOcP6Ty160Wk2sQ14AmzuzMCND1Z2AOCR34LrSOUbnOt/zt7+BzX/x5hCakiKrSZQpzIgGTfceKc4Gv+epH2Zle5Ed/8u3s7t5gbdnhii2I0uf7aD/PvdSN3QRbMfq8eXvMQMZDahzRzE/T6haE0pxbLuD8nmWPlpfp0ozv1IYcImoLZNEEIpliQ60jazsmTGKzlfAXFSE6oo5AV4g6SZN81FwbCr7bCZHjXhv8rtldlhMfhWHUpK+UeTSNc3gtSZvIPts76vInfdJkzLYOCrl+kIt5/DLWKVFPSKRNzn0FVJQixoQItmuqBjouk840HeJK8vPlnuceH+fEJT2DDJS8gUbQBQeyv2m40Xt1He2Ot6R4JlNWXadhCM5C/M0SkUOiK8GNwdVEsSoadhKl0PRC08E/kmlkG7QDT5Lz8+YUoz0iB9RtY4j3hZk7TsPrZ9EOnBwqpjdtssM403OIPZ/qEtqOia0iriW6qxTFLlK0eL+PK64hbs/YBBN1hhAM6yN2GEgqoFjPIquTU7zpm7+Dr3rj10ErljDcEcFo1/XbMtqRHybRW1p4E2ah4dd/4z287Sd+nieeOmA0OoOTJTJJsXbs54mGIKvGEXpCPwaLIv+exyo7rEgQc8GFEl9cZbz8IYrRBVu8AzLjfjKOOwmOniyL75l8yCqwRchyYllot2gOH6KZ3UvPZZqveVSwfLbacWbV4rt37sXRRTq8oh75lPSK0rH30U6o3Tx7N9/v6KeOn4XPpJ1sBPp7u4VXhIhoA25uuVHFAb68ZhvPH5hJkaqVphTaTiD0DIzHz5F2uC5JGrMn0ljialynPnyQ+vBBYNxrQTLgM1741yOYb/20w0ykW302a3cmRKysy7MU1WWKYh8nM6AxoUrOFC+IjUfakhc//+X81a/563zJa77cnikOeY8X28myqQUywEhjYFQUfNXrX8vDL3qEX/219/C/3vE+Lj47ZTYTfFHhfIGjHEhPeyjpk2AGD3r0d014DassYDdvoPPyN+STsyeW/nTb4oIQzdpXLg+RJLFaIhv+EJUDWl0fDNmt/Aaf7Xbz/T69zXkzPPHma+mxF13Us/Sm1251v6O/f3ZE8snmodd6MsyiAZkbA1+5iyuv4f0BPibNMaUVCA7Rca+tihIlkYvf7n7qkGhZ1ZIAhQhobEADXg7xbteQVF0NbJ8g+jdrwjcfD7d6xjuNiWXVmx/Ko/UZQqyQ0aeQKhVla5fQVmkbZVxOuPeu87zhdX+Fv/ylb+DM5l0dKbnIUQE76MudNZgMc8v5QZpi9+D9mKYtuHxln//9W3/A408+w+Mfe4qnnvoU+/t9wahbn3LHNcWiMSnPx8+AOc7NKaorlNUlY0mLcoetcvKW7XISvQEpKVJpUBkTmy3q2SnasAknwt78Rft/t2UYezbPGqS4QVFdxxUHQANhTGxWsWLyU4qxIWSNHLsCTMPtIlq3aV2mtAQDqKZ8OHU1kRJtN2mbU7RhzXBVOX9PC7JDerE9FwdaxFXX8NU1xM3MKaDONDTZx9FQuFXGxTqf88C93H///Tz0wEO8+lWvZnvrFA5vMY2Q0lPcrft0QgHDQMBEG2gSklZswF3hwAmXruyyu3tAXSfU6U0mzMLtj7wudIXP48ig4i4tCImI7BsoKhVSvzOS92RNcqhTMoS8d3giYgjNMEqL5VbPc5wZdpwRcbvv3MrouNV3bqWa38qk+nS/oyd4f/jaUVPlTt/hDu9/uuNzZ3O5O5QSfiaX5+jST7RN0cSE2YHeEdpdy5DhmqpB3q5JRpKTkOJaoElzsozrlNKBplKsGYYxxPQsPsGtx4c7vDd4zSX+5PQ8QtOZcqoFTirKomJzY52tzS3T2NqWGJMWmn1i6G0RIycSMH3oyiXtOZWC1T712xGMClIcIh5xR3ExvR15+5bsw6yOJh+MtZmZLrEgin/OBEx3X2mTrVwmLSbD0s2B5vXPSmj0F+3/nZYy68n+E8jguYz9yMXiNdOXZm7eQcqJJFPmjhh/lbR8k/O1C60HDKFs+8czpweoDNMfkrm6wBnzXAyDdP5GJBiSmRZzXFcWqElpMyGm0IBCZvzr5Vb2sR7fThRF6h17KXKQmeE67hcSMpd+IEIWDBmXkfJNToBztUltbMPHmmFqgorD2MyStvEcNBN96URTQBOPDMlBl0LbsSOB/ov2/21L2BVzXJZoh4qe0yX4aaoMIIk1L8PxM3I9fZdcDvk2TTXTqqajeECTkLE1KonOaRC0WOCfSd8/Gbj0hMPQHfbpejEXWmuS4FNz3nafkUW5MoAe3a5HJ03h7KRUpkjoeC6kV0SHpEq9ZO/VVOkGKr8+vEH/6DFRKnRqZXLKKamkrCiOQHETb8afrWnuWycAc87JYovDANgx/T7+tU/HbPhMTYDP5Dv/N02kP7/xidJnylhCbc8/kyOeEgM+9licYf6aLeGE2kZZDFoc17KgsPtrZg7M74lta82Mh0e/O3xtyLl07H2G7fbjo0O4fydEsr/U/JGgeB2+Lzdf8g7tRAJGO3HVJwUmupx0o6N3c8d0IJtIg8G91ULt4N/DEpeY+ZKT2pCEv1y8w6ez5W4y2AaQaJXhp9MwZda+226Wo68dNQ3v9J3bvX/cdU7Sh+Ouc5LvnLRfJ/37dq89F+Nz3GuL73XgStWkfTTp7xJ0RObCDc7mXcEAiSnC6NQEgUE3eo381msuP1v+XJ871b+eV+0xz3mTaTT83O3G7Og4HG1DodFfLwPpyIGPWzzXSdv/ASzOd0Bvy9y9AAAAAElFTkSuQmCC)
Rewrite the equation to solve for mass.
Hint: