Physics-
General
Easy
Question
Consider the situation in the figure. The bottom of the pot is a reflecting plane mirror, S is a small fish, and T is a human eye. Refractive index of water is m. At what distance from it self will the eye see the image of the fish upon direct observation?
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)
The correct answer is: ![H open parentheses 1 plus fraction numerator 1 over denominator 2 mu end fraction close parentheses](data:image/png;base64,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)
Related Questions to study
physics-
Consider the situation in the figure. The bottom of the pot is a reflecting plane mirror, S is a small fish, and T is a human eye. Refractive index of water is m. At what distance from itself will the fish see or observe the image of eye by observing through mirror is
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)
Consider the situation in the figure. The bottom of the pot is a reflecting plane mirror, S is a small fish, and T is a human eye. Refractive index of water is m. At what distance from itself will the fish see or observe the image of eye by observing through mirror is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAX0AAAFpCAYAAABwPvjcAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAMfnSURBVHhe7L0HYFNHujb8/d9379127+7e3b27e7e39GRTNr13WgIJvYXeewk1EELvvffeMQZMsw3GNNv0jrFx75Zky5YtWXJ7/vcZ6RhZiCQQTJQwT/Ii62jeM/U8M2fOzHP+DzQ0NDQ07hto0tfQ0NC4j6BJX0NDQ+M+giZ9DQ0NjfsImvQ1NDQ07iNo0tfQ0LhnqKioQFlZGVwu19e20tJSZf5+u5WVukpRXl6OyspKT8waBjTpa2ho3BOQuM0WC67FxeHkyZOIjo5GzIkTX2onJNzJU6dwSoyfJ/yEucliTuD8+fNITU2F3V7siV3DgCZ9DQ2Ne4KioiKcPnMGS5YswZAhQ9C7b18MGPipf/v0UwwUGzBwIPoPcBv/5jH3cf/Wf8AA9Os/AOPHjUdwcDDS0lI9sWsY0KSvoaFxT1BQUIBDhw7h888/x8cfN8R7tWrhgw8/9Gsf1q+vPt96+208869n8cQ/n8SLL72M2nXqon6Dj24Kb1jdevVQp249tO/QAQsXLkKc3FVoVIcmfQ0NjXsCp9OJpKQkhIWFYc2aNVi6bBlWrFx5k61cuQqrVq/G8hUrMPyz4aj3wQdC+K+g1SdtMHv2bKxbt16Fofn60mf58hXYsnULoqNjYDabPbFrGNCkr6GhcU/Bh6t8oEvjw1Zf43GG4Z1BSMhu9OjRU0b+DTB69BhcunSpKsyt/GnGOTRuhiZ9DQ2NgERKSgrmzZuPunXr4cmnnkbbtu2wa1cIimw2TwiNO4EmfQ0NjYBDUVGxIvg2bdri73//B/77v3+BZ599DiM/H4XY2FhPKI07gSZ9DQ2NgAJnZZKSkjFx4iRF9D/96c/w7//xA/zu939Ao8ZNsHv3HrUWX+POoElfQ0MjoMBR/sGDEejUqTP+/Je/4oc/+jH+37/9O376s5/j2eeex/jxE3DlyhW17l/j9qFJX0NDI6BAQiexv/ra6/jvX/wSP/jhj9RIn+T/hz/8ER999DE2bNiAgsJCj4fG7eC+Jn0+3b/5AT+PiXm+aWho3Dtw9B4SEoImTZriL3/9G/7zv36KH//kP/GjH/9E2S9/9T948qmnMGrUKCQlJ+sVOneA+4f0K8tRXuZCicOunv4XFFhhLSgQK0ShfLcVFclnoVom5j5eAJutCHZHCVyl4ltTjYtLz0qcqJA0VFitKLfmieXL90JUSForyys8ATU0vv+wyjWwZs1a1Kv3Af7xwIP4zW//F7/85a/wC7Hf/u/v8Pd/PIBnnv4X+vTpg5iYGJSUlHg8Nb4u7hPSr0Cl04bC3BRcu3gaR48cxSGx49FRiIo+jiNHDiPi0CFEyrFjUdE4HhWFw3Ls6NGjOHX+MpKyLLA5y+Qs3wyVXD9sL0Z5ngVlmRlwJcSj5MI52CUdxZERKD4QhqLw/Sg6EIriQwdhP34UjnNn4Iy7htK0VJSZTapzqCzVD7E0vn/gqN1kMqm1+cOGDUerVq3x+utv4AEh/7/9/R94Tf5u27Y9+vTui2nTpiFKrtNCPcVz27hPSL9MRs/pSDl7AMHrl2L6zDmYuWAp1q1fjXWrF2LK+JH4dOBAfDF+ChYsXY0Vq1ZjycK5mDNrBhav2ojQE5eRai1B2R0O9ivLpMMoLEBpShJKTp9E0f49KNi4DnmL58MycyrMk8fDNHEsTONH37AJY2CeNB6W6ZORt2AOrGtWwrZ7J+xRR+GKv4Zy6QAqSxxycn0noPH9ADdU8U772rU4REZGYsOGjejbtx9eeull/Otfz6JHz17Yti1I/UbCT0xMVHo+eorn9nB/kH5FCVxZV3AxdA0WzxiH4eOmY+qiNdi5fQO2r5uKvu0/xKvPv4gm7Xpj0sL1WLthE9Yum4MZE0dh3NSZWLXnCC5l2+C8DX5lQ6xwudRUjSspEfZjR1G4aT3yhORzRwxFdv9eyOzRGZk9uyCrf09kDxmAnBFDkPv5MOSOHIqcoZ8ie0BvZDFMtw7I6tMNOcM/hWnKOFhXLZM7gn0ouXQeZVmZqCiySb9W5olZQ+O7CV4znNN3OBwygrchPj4es2fPQZ06dfH22+/I6H46UlPTUFxcDJvc8drtdr2C5w5wf5B+aTEcqedxKXQdtqxehhXb9mP/8XO4HnsSV4+vxOD27+DRv/4dH7X9FMt3RSP6zEVcOBWJ0J3rsWrdGmwIP46zGfmwf92hvjTecmmUzvg4FIXtR/6yxcgd8zlyBvVTlvuZkLt8N02ZgLz5s4XEl6NgywYU7tgG265g2HZuR+HWTbCuXYl8ueOwTJsoo/9RyJEOIXvYQGTzPJ8PhXnWNBRs2qBG/2VpqdK36flNje8PONWzbNlyNPjoY9SuXQeLFi1ShK/xzXBfkH6lyw5HZjxSzx4WMheiT82FqbgEpa4c2NP2Y3K/+njmwYfRts8E7DmdjmyrA06HDeasBFy8eBbHL19DbK4VjrJyzxn9o7KyAhUySinLzkLJ6VMoWL9ajdozu7RDeodPkD14APIXzINt7244Tp2A83o8yjIzUW4xqzuC8sICNQ1EKy+wojw/D+W5OShNTkTJhbMoOhgG67pVyB07Uu4SOiGzc1u5A+gO89QJsO3YDuelC+55f71xReN7gNzc3JtIn9M5Gt8M9wfpl7ngKrTAlpuBgvx8lFRxtw2wRGLWkMZ44bEn0GXQdERczUNhFWeWSSMrRHa+FeZiB0q/YiUN59id167KKH0jTDKSz+raQU3N5I4ajvyVS4W0w+G8egXlZrN0RLdHzJUV5aojcCUnwR59HAXbNiNvzgzkDB0ocXREVs/OMI39XO4WtsOVmiLh9Vy/xncb2dnZWLJkqZJSrlWrNhYsWKDm/DW+Ge6P6Z3KSvUwtbzU8wo1z2EgD6U5BzFjUCM8/+jj6DRwKsIv5sJSfCNEhfiWCdmXVfhb0+8Bp3NMuXBEHUPewnnI6tcTGR1lZN+/F/IXL4AjJkqN5O8mKp1O9WCYc/vmGVOE9Lsgo20LZA/og7wlC2A/fgSlWZl6rl/jOwtN+jWD+4P0b4lbkf7tjZLLTSbY9oaoufr01k2R2b0jLHNnwH4kUi3N5Hr7GgHX+BcWqgfFRREHZOQ/XU35pNavrR4Q826gNCVFiP/Lp6U0NAIRmvRrBpr0vwnpywifhFuwYY17dN+mOXJkdM8HsCWXL6LyK1YWcAOWM/Yyig8dQGHwVhRs3iBEvQm2fbvhOH1KPRuoLP96I/UKlxPOq5dhXb0cWb27I63Rh8jo1BaWOTPgOBmjnhNoaHyXoEm/ZqBJ/w5Jn4TO9fL5y5eoB7UZnzSDedJY2A+Gu8n6S+bsuUmrLDcHxZEHYJ4xWfmnfPAekt5+Bcm13kRai4Zq+WbB5vVwShxf1XkQnHniFFaZxQzHqZOwzJqm0pTWohFM479AcYSkS+JEhR71a3w3oEm/ZqBJ/w5Iv7KkRI3kudySc/eZXdojb+5M2KOOodxikQBfvrSzNCNdEXr2wN6K7BOf/yfiH/kL4v7+e8Q/+CckPPkQkt98CemtmiJv0Ty4Yq/c1hRRhd0uo/6ragNYzuB+yGjXAjnDPkXh9q1qZ6/e0avxXYAm/ZqBJv3bIX0hcxJqybmz7pF0u5bI7NoB+UsWwnn5Eiq4O9AT1C/oX+JQ0zlZPToh8aWncf2RvyL+gT+K/QHx//CY+v5HXH/8AaQ1ri/nnw9XwvWv7EyqQYKyAyoK3QfTFyPUEs+c4YNRsGk9Si6eRzkvHr3CRyOAoUm/ZqBJ/+uSPgnbVqi0cvIXzEVmh9aKuLlu3nnlspvwK76ClMvK1Eg7f/F8pNR5B/EP/dlN8hzhG4RvmOdYwuP/UM8Kig6Eqemb20V5Xh7sRyNhnj4ZmZ3bIat3V7VZjEtHv860kYbGtwVN+jUDTfpfh/RJ+MXFcMZeEcJcpJZHZvXuhvwVS5UYGqd7vg4Yjg9oc0d9hsSXn0XcX//XTe40z+i+yjzEf+23P0PSa8/DKiP0O91xW5ouHc2qZarzSP24LnJl5M+Hu9CkrxHA0KRfM7jPST8f5aYIzBzcWJF+50+n4cAlE/LsPiP2igqU5WSjKHSvIvu0Zh8pETTn9Ti1Xv7rgrt17TFRyPlssJraiTdInwR/C9KP/fVPJewzsK5fo/xvC+ys5A7EcSJajfS5jj+jYxv1LIJ3JyjXD3U1Ahea9GsGeqSfFY7pnzbEs488hg4DpiLsQg7MxdXJkLtb+fC1cPs2pLdpoZZDWjesVTIJt6PwxxU9rrhYIeBJSH7rZSF2zyjfIH5v8xzjw92U+rVhC9lxW7t4VZq5QujoEbVsM3tAL2T366kIn5LNlHfW0AhkaNKvGdyfpC9EzfXvFSWZsF4LwtjutfHE3x9Es+6jsT06Cen5Je4duJ7HsiT2MosFxZGHkDWgN9IaN1Aj55IL51FOhcuvy/tqM1WBWpOf1rKxWqXDB7hxf/udkDzN0wF4vvMhb9KbL8mdwSA4Tp/82g9eK0uc6tmBbd8e5I4dpaQgqOKZv3IZSs6dkc4qX4/yNQIemvRrBvcl6VcI4TtteTAnxODkjmno2eglPPDnv+Hdpj0xa1METl5LR35RCcq9HsxylF2amqJWv2T3762WaVpmTIXj5Am3xMLXJGSi5OpltT4/rUkDJDz3BOIf9jzQ9bLrTzyA5HdfU9o61N/n9NLXQYVcFE7pjKi/nz30U2RIOjmdxHTzmQRf4qKh8V2AJv2awX1J+uWlTthykxF7dAe2zBmOLk3ex2uvvIYPW3XH6LnrsefYRaSaClFa7jWE5/y4w47S5CRFoCR9bn7i1Ann6Tld8nXXv1P/3n4yWkk1ZLRvhZRabyDp1eeQ9Mq/xJ5F8hsvIrXRB8gVsuZzBCXQ9iUrdziVQ7E3Kmxy/p7PGzI6t0O6pM8kI/3i8P2qw6p0ff3nDxoa3zY06dcM7tORfilKCs3IjD+PU5H7sGPzOqxZuxYbt+1C+JFTuJyQDkuho9pIvwpCsK6UJFjXrlIaO+ltmit1y2LuxOVo/GvO8fMBKxU5bXt2qg1YpoljkDt6JEzjvlB7AAo2rVMETtnlr4I6l9w9UMYh57MhajMWlTctc2fCEX3cPZ3zteegNDQCA5r0awb3+YPcOwNH1mU5OSgM2qLeaMURP9+GxQe9zrhYRcJfF5XOEpRmZ6kOoOT8ebWqxpWaqvYEfNVDYsZTmpSo3q1LguebuNJbN1M7fSnvXJqepiQfNDS+i9CkXzPQpP8NoHa8hu9XL0pJb97QPc/P0fWpk0r98nZAcq50lX7tDVjU1refjEH+orlqt21q4wbI7NROrc5RUs5mkyekhsZ3E5r0awaa9L8h+GDUfvSwerG5El7r9Il6aQrX1ZP8y0x3j3wZF+UYig8eUJvEcjxv5cro1Ea9U7dg/Vq44uM8oTU0vtvQpF8z0KR/F8CdtiTbgi0bkTv8U/UAlUJsfIhaGByktG44HcQHuNzMpeSSv2zqRn7jiJ9hOYXDh8Su63EojhCyX7JArR5Kb9kI6W1bIFepcW6A8/JFVFitWlpB43sDTfo1A036dwvU1UlNhp0vM1k4FznDBrnlGnp1Rfag/jBPn4LCoK3qVYd8YTpfrkIyL7cVqhG8ssICtQKnLCNNzfE7Yo6r5wScMsoZLufr3c19zn491cNj66plsB8+pFbmQCtnanzPoEm/ZqBJ/26irByVRcVwJSagKGw/8ubNRs6nfZHRobV6oUnOkIEwT52IvGULYd2wBoXbNqNwRxAKd+2AjRa8DQVbN8K6bjXylsyHZdpE9ztwu7ZHRrtW6m1YpvGjlWSy4/QJt25/iUNvtNL4XkKTfs1Ak/7dBtfzl5SgNCcbziuX1JQMtfO5np9LMqlrnz24H7I/7aPeoUtphKy+PZBNk7+VXIJ0FLw7YNjc0SNgmT1NPSOgTDJ35nKvADdh3YnqpobGdwWa9GsGmvRrCFxuyc1aJOey9DQ4zpxS79Hl+n5unqKMg2nCGJikI+CDXxNtzEi1Xt88cwryFs5XI37bnl1wnIqBKzXFTfRU2tQje437AJr0awaa9O8FhKT58hWu5ClNTlZa9nwRi/1EjHrblv3YEbfJ35Q8Ljl/Fs7YWDVXX2bKRUVxkV5vr3HfQZN+zUCT/r0EV+xwPX5pqXsVj4zaOSdf6fAY/+Yxl/zGVTgk+i9b5aOh8T2GJv2agSZ9DQ2NgIQm/ZqBJn0NDY2AhCb9moEmfQ0NjYCEJv2agSZ9DQ2NgIQm/ZqBJn0NDY2AhCb9moEmfQ0NjYCEJv2agSZ9DQ2NgIQm/ZqBJn0NDY2AhCb9moEmfQ0NjYCEJv2agSZ9DQ2NgIQm/ZqBJn0NDY2AhCb9moEmfQ0NjYCEJv2agSZ9DQ2NgIQm/ZqBJn0NDY2AhCb9moEmfQ0NjYCEJv2agSZ9DQ2NgIQm/ZqBJn0NDY2AhCb9moEmfQ0NjYCEJv2agSZ9DQ2NgMTNpL+wivTLXA4U5FuQnZmJ1LQ0pKWmISMzCyZLPoqKS1BaVo6K8lK4SoolnBk5WZlIT5dwDJuRhRyzhLM7JVyFOt/9BE36GhoaAYnqpF8HCxcuRGFBvvxSAUvGdUQf3I2VC+di/Jix+GL0OEyfuxhbQg7iXGwy8ovscNjzkZ18BcfDd2D1kjmYMnEsRk+YiElzlmLDrkM4dy0deYUlqKi4v95DrUlfQ0MjIHFr0q9EXmaiIvPJQ7ri47dewKuvvoOWXYZg0foQnBHStxY7UOIoQE7yZRzZtRrTR/RAg/dfxwtv1UWL/pMxf9tRnL6WIZ2DkH6lJn0NDQ2Nbx3+p3cK1W/lZaWw5KRg5/xh6Pj2I3jphXfQecgcHIy5gjybQ43eKysrUGa3IudaFPYuG4tG776Ix16qh95z9yMi0QFLkQvlFXp6R0NDQyMg4P9Brpv0iYpSB46vH4f+dR7F66/WRZ8xq3HmWiaqT9OXoTQ3FieDZqPF+6/isVc+wmfrz+JSEVB6fw3wq6BJX0NDIyDxVaRf7rIjesMEDKr/JN5+6yP0G7tOkX7pTaR/Dae2z0Or2m/gn681xOebzuKyXZO+hoaGRkDhq0i/zFmM6I0TMLjBU3jn7Y/Rb9x6v6RfZhLSD56PVnWE9F8X0t/sJn2XJn0NDQ2NwMFtkf47DTFg/Aaci89Gued3NypQYY7HmR0L0Lrum5r0BZr0NTQ0AhJfn/Q5vfMheoxYgsMnr8JssaK4qAg2WyFsVjMs10/h0LppaPrea4r0R2nS19DQ0Ag8fB3Sj9k0CUMaPIE3X3kHrXqMxdqtexAVcxJnz57FmTOnceZkNKJDt2HN1KGo88pzePKNxvhi6zlN+hoaGhqBhq9H+pMxpP7jeO25V9Cg9QDMWLAC24J3IGR3CHaF7MKuHUEIWj0f04d1w1vPPqlIf/S285r0NTQ0NAINX5f0B38opP/862jS8TMsWbsNYRGHcPjIYUQejkRkxAGEB6/G4rF9UevFpzXpCzTpa2hoBCS+3pz+RAyu/yTeer0eug5biANRF5GZY4LZbHabKQtZV6MQtmoSmrz7Mv75eiOM2qKndzQ0NDQCDl//Qe5TePedRhgwYSPOX8/FTVyen4CzuxbiE716R0GTvoaGRkDi65L+kI9I+g3Rn+v047JQVo3My1FujsPpHfP1kk0PNOlraGgEJL7enP5EIf2nFelzc9bp2Ay4yr3YvLLUa3OWQfp6ekdDQ0Mj4PBVpI/yEkSvH4e+tR7Gqy/XRZ/Ra3BORvrVJdTKhfTd2jvN33sZj7xYH8M2nMUlIf3qm7juH2jS19DQCEjcTPo3VDapoOkssiB0yQi0f+0feO5fb6Hb8AWIupiIktIKz7x+JSrL7ChIPo0Dqyeg0dvP46EXpHNYFInjmeWwl1KJUwW8r6BJX0NDIyBRnfTrYIHS07eq32x5Wbh86jAWjemHlu+9gDffrI0O/cZg/a4IxKbmoMjpQqmrGNasBJw9EISlEwejcd138NK7H6Hj54uxNvyShDPD5nDd/OD3ew5N+hoaGgEJ/6TPl6gAeZnXcTwsBEtnTcGoYYMxZNhnGDdtLtZu34+TV5OQX2xHicOKnMSLOLp3K5bPm45RI4Zj0LDPMWb6IqwNjsSpq2nIs5Vo0tfQ0NAIBPid3rG635FrL7AgJT4W506dQNTx4zh2PArRJ8/gYmwC0nPyYC/hSN8udwQ5SL1+FefPnER0VJSEi0bUidO4eDURGblW2J2lqNRvztLQ0ND49vFlpF9RVgZXSQkcDkc1K3G64CotQ3l5BSoqyuWzFC6XU0b9N8LY7XIXUMKXopd73rClSV9DQ0PjW8fNpM/VO27S17hzaNLX0NAISGjSrxlo0tfQ0AhIaNKvGWjS19DQCEho0q8ZaNLX0NAISGjSrxlo0tfQ0AhIaNKvGWjS19DQCEho0q8ZaNLX0NAISGjSrxlo0tfQ0AhIaNKvGWjS19DQCEho0q8ZaNLX0NAISGjSrxlo0tfQ0AhIaNKvGWjS19DQCEho0q8ZaNLX0NAISGjSrxlo0tfQ0AhIaNKvGWjS19DQCEho0q8ZaNLX0NAISGjSrxlo0tfQ0AhIaNKvGWjS19DQCEho0q8ZaNLX0NAISGjSrxlo0tfQ0AhIaNKvGWjS19DQCEho0q8ZaNLX0NAISGjSrxlo0tfQ0AhIaNKvGWjS19DQCEho0q8ZaNLX0NAISGjSrxlo0tfQ0AhIaNKvGWjS19DQCEho0q8ZaNLX0NAISGjSrxlo0tfQ0AhIaNKvGWjS96CyshLlZeUoKytDRUWlfPf8oKGhcVuoqKhQ1xGN19WdQpN+zUCTvqC8vBz5+VZcv56AhIREFBYWyrEKz68aGhq3A6vViqtXryI+Pt5zLZV7frk9aNKvGWjSF9jtDpw5cw7z5i/A0qXLERcXh1JXqedXDQ2N28GlS5cwceIkzJkzF1euXEVxsf2ORvya9GsGmvQFHOXv2hWCNm3boVevXoiOjobL6fT8qqGhcTs4dOgQ6tX7AC1btkJExCHk5+Vr0g8gaNIXmM1mbN26Dc2aN0fXrl1x/PhxODXpa2jcEQ4cOIB3330XH3/cEKGhYbCYLZr0Awia9AVu0t+KFi1bonv37oiKitKkr6Fxhzh48CDef/99NGrUGPv3h2rSDzBo0heQ9Ldt24aWrVqhR48emvQ1NL4BSPq1atVC48ZN9Eg/AKFJX6BJX0Pj7kGTfmBDk75Ak76Gxt2DJv3AhiZ9gSZ9DY27B036gQ1N+gJN+hoadw+a9AMbmvQFmvQ1NO4eNOkHNjTpCzTpa2jcPWjSD2xo0hdo0tfQuHvQpB/Y0KQv0KSvoXH3oEk/sKFJX6BJX0Pj7kGTfmBDk75Ak76Gxt2DJv3AhiZ9gSZ9DY27B036gQ1N+gJN+hoadw+a9AMbmvQFmvQ1NO4eNOkHNjTpCzTpa2jcPWjSD2xo0hdo0tfQuHvQpB/Y0KQv0KSvoXH3cLdI32KxYPnyFfjo44aoU6cuFi9eDLvd7vlV406hSV+gSV9D4+7hm5B+RUVFlWVmZmLRosX4sH4DvP9+LcybNw95efnqt/LycmV30pnc79CkL9Ckr6Fx93CnpE8yLy4uRm5uLhITE9W7qseMHYu33n4HL7/6Kj4fNQqnTp1GcnIykpKSVDiHw6GJ/zahSV+gSV9D4+7hm5A+r8Vjx45h6dJlGD16NJo2a4Z/PvkUHnnsMTRu0gTjx0/AwgULsWHDRpw7dw6FhYWa9G8TmvQFmvQ1NO4evsn0Dq/FjRs34ZNP2uCVV1/DQ488it/9/g/439/9Ho88+hhee/0N1K1bD0OGDJXO4bie478DaNIXaNLX0Lh7+Cakz+kdjuLr1K2LP/zxT/jpz/8b//XTn+G//utn+OnPfo5f/+Y3eFTIv1///rh48SLKyso8nhpfF5r0BZr0NTTuHr7pg1xO7/Tq3RuP//NJ/FQI/4c/+jH+4wc/xA9++CNF+q+/8QZmz5mj5vQ1bh+a9AWa9DU07h6+CekTXJ+/dt06fNywEX77v79TpP9v//4f+Ml//hcefuQR9OzVCxEREeohrsbtQ5O+QJO+hsbdwzclfS7FvHDhAgYNHiIk/yh+/JP/xP8T0v/lr/4H77z7LlauXAmTyXRb59S4AU36Ak36Ghp3D9+U9AmS+rJly1G7Th0Z7f8vfiyj/AcfehjdunVHdHS0J5TGnUCTvqAa6ffsiShpVKWlpZ5fNTQ0bgeceqlG+pbbJ/1SlwsxMTEYMnQonn3uOfzxT3/G+7VqY/78BUhPT/eE0rgTaNIXGKTfqnVr9O7bB+fOn/f8oqGhcbvgnXLdunW/EekTnLMP3rED7Tt0wLvvvodhw4bjvL42vzHuiPT5hJ3CRxkZGWrnXPz168qu+7H4ePdvCQkJahcdLSEh8cbvHvP2Ucfj45WlpqYiPz8fLun5a2oOzyD9Fi1aCvF/gs1btuDy5csqb0y3b9q0adPmY3Kd8HpJTUvDqtWr8NprryvS378/tIr0jR23lFegD6/vm85D85zr6tVYrFu/AZ27dMEHH9bHZ5+NwNGjR9WOXIZR5uNr8EZKSopc1xY9TesHd0T6NpsN4eHhmDBxInr16o0OHTsp69ipsx9zH+/SpSu6de+hrEvXbujUuYtPuOrWrn0HZSNGjERwcLCq6Jpak8tGuX37djRs1AhPPf20NLAP0aZtO9XYOnX2nz5t2rRVN14vXbt1w/vvv48//fkvcj01xp49e9WgiiBvnDhxAjNmzlLh2rRt6/c8nWjCD/xs8NHHeOZfz+Lhhx9RG7Po07Vbd3cYT3hv411Be+GNIUOGqPX+5A2N6rgj0ucof8eOnfj000Fo0rQZ6tX7wG0ffHiTUSyJ9uZbb+PZZ5/Dcy+8iDfefAu1atepCvOBV3jDasvvND64Wbduneq9OdqvCeTl5SEoKAgff9wQD0njevmVV1X6OLrwTZc2bdr8G6+XBh99hH/Jdf6///s7teSSpM+HsgR5IzIyEp9/PkopZ773fi2/5/G2OnXrqbl8Cq6RD3jMH18YVqdOPaXI2aFDR6XKSd7QqI47In3eMsXFxclo/wC2bt2G9XILdivj75s2bcYIuTVr0OAj1RDYWfCBDH/nlmv2yL5+a9euU7Znzx411UJi5lKumgBH+pzeoc4HdwKOHjMWq1atxsZN/tOmTZs2H5PrZJNcL9u2BWHo0GF46qmn0UhG+vv27a8a6ZM3OF1L4t+0eTPWrFnr/1yGbdigrj9yhGFfdT2uW7de2c5du3DmzBnFGxrVcUekz/k5PmSxWq3IzTUhJyfnlsb5eM7hLVmyRI0E6sodwfjx43H82HF1nA2CO+t8/bKz3cZKo74Gp3ZqfE6/ZUt1e7hbOpq0tDR1nKMU37Rp06atuvEatljM6nrnQO8tubP3fZBLI/G7eSNXbcLydy5vYziTcAyvQ388cStjnEVFRVqmwQ/uiPRvF1lZ2ZgydSqeevoZPPLIo+jTpw+OHT0WMGJJBukbSzajY/SSTQ2NO8WhQ4dQu3btb7x6R6NmUOOkz3k8TgO179BRbammeBLn6Th9wifsgdAYvEm/p5A+1wdr0tfQuDPcRPp3sDlLo+ZQ46QfGxuLsWPH4dnnnlfaGf/v3/5dba3u33+A2sRBPexvG9VG+npHrobGN8Ld2JGrUXOoMdJnJXPef9++fWrZ1S9/+Sv86Mc/wb//xw+Uhgaf3PNhLtfj1tQD2q8LX9KPFtJ3adLX0LgjRGjSD2jUGOmXlJTg+vUETJ8+A489/gT+v//v/yppVCrm0R548CH06t1HbgUj1frdbxN+Sd+lSV9D406gST+wUWOkTyINDt6B5s1b4Bcysv8//+f/KLLnaP///r9/w8//+xd4971aWLhoMRKTkr7V0X4V6bdshZ5C+ieio1BeqklfQ+NOEBlxELVJ+o006QciaoT0WcF8SDtz5iy88cabSizpZz//b/znf/1Uvf2Gf/MVaK+8+jr4suPjMrLm9uxvCwbpt5KRfseuPbA74hhS84uR66xETkkFsuxlyBbjZ1ZxGUyOchQ6K+Asr4TRlCvkD3tZJfLleLa93B3Wn4l/Xkk5SiRshceXKJVzFYhvDn0ljD8//maR9DAeCV4FXk9MS76cV6XT11++83iuvQIFLqZb0uvxZbqL5Xy5kqdqPj7GPOVJ+phu3+vXVupJtx8/lRZP2q3iX+adaYFL0pIneaoqXz+W6/FlHg3wPDbJC38z4vDnmynHeX5xr6orgqeq5n8LX6aLZeadbua/hOUtJ71VefPTSLfDq75UvFJeLE+ev5qfYXI8Rz6tkm76so4M8G+mR8Xhz1+OqbqW+mQ4iaoKbK0sQ3d5V68v7/LPdbjbics7YkGZfC+SE5qN+vKKP1vi4/VSUFqJrXsO4K1a9dC4aXMh/XBN+gGGGiH9srJSpVkzd+48IdLW+Oijj/H0M/9Sc/l81yX/5u46vgeTLzoOP3DgW91EYTaZ1I7c1m3bo36H3vhiyyEsu2DBmjg71lwrxqpYm7KVtKs2bLlejOPZJeqiLfc05mJp7FfyXNib4sDaa56wHj/DVojvsiuF2JdiR0phqSIOokzOkV5UhkMZDqyPK1JhvH2NeNdeK8Ie8b2SV4pC1w3yZdzXraXYL78x/HLxN3yVv/jyc3N8MQ5nliDFVi5k63YmqZw3uyRPRZK+6vEqXzGme53EHZrqQGJBWZUvUSwkEC1lsS7Ok04vX+UvvjTmKzKjRHVaBtiBxOWXYneyHas9vt7+xveN8UU4kOZAUmFZFfky/ydznNgqeTLi8I6XxnQvvVwodWKX8i1XpOVGpaSjHDHZTimTm8vbMB5fI5/HskpUR22UNzuLWKlr1iPTvfxKdT+VHvncKHk+mO5AgpSZUdesqzMmJ9ZLeS71qSflS5N6oG+E+LK82ckb4GDjsLQTpo12k7+nHDZLfTLd3uXNuo6XdrI72eEO67EqX88n2/cRaSfpxaVV7btCPnOF3E9ImW9P8NSXd5lLftbK9bIxyYVBa8LwdJ0maPpJR4SFHRTSN2vSDyDUGOlzg8SRI0eUps3mzVuUNg9H/I8//oTS1Zg3bx62bNmqNHwuX77yra7isUhag3eFoEX/kXi060Q8Neswnt+Ygpe2ZeOlrVlimXjRYy9syUSdXdkYEmVRF7TDw0LX8l2YdtaKhntz8PI2dziGp69hz27OwDObMtDxgEkRHe8YSKCptjJFip0OmvB6kDucty/P9bwYf2svvrzYEoUAhXsUIZzKdWLWuQI03ZeDFyXcc+LvHa+Rlvd2ZmHgUQv2yEXP0R7B0dqcCwV4LzhT0pZ+U5r5nel5Y3sWukaY5YIvhlnSzWxzNLk/1Y5+Ryx4c/uNMvL2N9L+lvgPjcpTHRZBDjwsncCw43n4IITl7M6zt7/6viUDb0va2oXnKiIsErInkqXMJp+2op7UhRGHd7w0lsOTGzPQNtwkebYr4i4V4udnqKR78LE8yXcW/sXy9uP/tNTVq1KXo0/kI1bql32GXUib6R4ZnYc6Up70e35zdT+mh8Y894g0IyixGCaJk9zNdM+Qunpb4n1yY3o1Pxrz/Lzk+b0dWapct0l5p9hKVbqZ92gh8j6Hzaod/UvM11/VtfjXlrSNkDResrilS5j2KPEdFZOP+rulnUhY7/J2l7X777pSpoOPWxCebq9q32ZJ/86kYgw8ZpHfc9w+nvCGvSzXyys7LHhwUhh+07AfmvUZjrCIw5r0Aww1Nr3Dde7cEcelj4WFNkyaPEU9vH3llVfVw11KpHL3Hqd1GObbnNPPy85C8O79aDxiFv7Ufyl+Pz0af1yRhL+sScdfVtHS8GeP/WllmrpYW4flYpuMiHi7S8TIaLf7IROe2JCOP65MFUtTft72Ozn+2xWpiuRI8rxT4K3+6VwXxp2yKpL42+o0/EHCMC7Dj3HyfA+sSZMLLgszhTSuygiZo0eOWHcIqXSNMAlJpePPnrDe8dKf53t0fTpa7s+VUXmRmm7hdZhUUKoI7EE59/8sS6nmR6Pf7yXdD65Nx0d7srFCRrUZclfiFAa7LATOtHwgJPHg2htl5O3PtNAeFv8u0mmcNblJiJ3dwkuF0plk4gHx/dOq6nmmqfOpuNMkXAZmnS9Q0yVEnIxY2YE9KeX9p1uU9x/k+P8sT0UtIVCOTJluu5DYdckz7wCaSCf58Lp0/I7l7cf/1+L7d6kPku8FIU92VOzw2OnWk3ow6tk33SxvGsvsYxkELJeRe4bUNadWLkvnwc7vIcnTr5b6L2+ek+2ohdTVEkkn7yDt0k5yissRJJ0ABxb/K2lmun39VV1Luv4p/mwTHBAQ7DTWyR3oByFZeFTy/Gef8naXtftvtqO20skGJUgn62nfiXJnyvL/cHc2Ht+QUS28Mimnv6zJwF/XZeMXYw/i581HoNmgcQg7dNRN+hXu82h8+6ixB7m+mDt/vhIzo9ja4sVLlARroCAvNxtBO0PQpN8IvN5/CrpvPoExMWZMPGvDhNMFGC8jyioTcp4uRMfb8wtmV9U8c6IQyYY4GyZKmDEn8zFWwlXz43E5NvqkVUjApsiPUxS85eaonSP/2ecL1fnHSphqvnKMncLkM+IrpMtbb84X83rkVMNpubBJapPkdyOst7/xfarciTDd7GQKeZsgIIkx7nGn8vG5jAK9/QxjXiafKZDb+CI1pULiJYmQRA/I3c7iS+5838qX8U8R/63SSWYWuTt3pp3TRaq8JO5xPn5VpuK2Yv7FAjU1ZUx15Ei6OYLmbyxv3zzTGPcXUpZLLttwSqW7Ek5JN+fLj2ZyioRlVuCuKz/+9GX6dibZ1Rw4Y+Zzl8PiO1sIcGRMnvKd4OOnziXmLjMbYnJKYJXylpsEdWcVLOlmmkdIed/kK8a8TJM2xim1KBlMZHs6DJY7p4Y4bTVG0qbS7evviXv62QLVQXDakCiX8uaU5Dy5q3PXlZ+69pyP5M4pNbZvYyqPd3X75O5o3sVCTJZze4en8Trh9TLtkh3tlh/EIx91RpMufRF2MFLvyA0w3DPSnzN3riL91994EwsXLkJScnLANASL2YStQUFo1q4j2vcZiH1HY5BVWAIZlMEiFxofXHFu1DBOjZA0eSEaWXA/ICtXFwenbejj1zwPyRiet9y8pkj8+fIbffkQjWEYj+Fj/J0naaEvw/MiZtycp2bn4X4w537Q6+3rfQ53ut0djTFXS/IlmdCf8fvzU58Shr7qAbS48qGgmnIQJmMYE9PtFd7X6M8OypiT5zlYTpzaYtz08/U1jtHyneWK8OlHyKnUOVW6xVhm3r7exvwZ6Wb07nRXj883bu/jDMvydsdL8uUDc/cDYCOMrw9N1ZeYu7xZZu4H9hZJa7rk26gvv75i9GWeWcdMO5/98Dvzc6v8evuzbiS4Aqvb/eDavRCBd4jecRt+/JsPqAvFV7Vvt7uQv3uAwDSzjXqHV/7iw+vFJuUUvP8g3q5dD42btUBY2AFN+gGGe0b6s+fMqSL9BQsWqmWafKlCIICrd7Zu24YWrT9B9569EBUdhdI7WKd/p+2absr3DvzpQkIhmd5J/Cpa+ecOXL8xSGIktDuJmz4kQtq9hHe8dxI1y5rNvvwb5PtOQeK9U/KlFzs+NdhwH7ol9Dr9wIYmfYH35iyu04/hOn29OUtD447gXqf/Pho3aqxJPwChSV/gTfpae0dD45tBa+8ENjTpCzTpa2jcPWjSD2xo0hf4Tu9Qe+dO5vQ1NDT0nH6gQ5O+wHekzzl9TfoaGncGTfqBDU36girSb90anXv0wsGjUbAUO2AvB4rFuIHK27iEj0vnuPTPaMsVcC9xoyyBb/hq5hLfUrevsQKEvlzFwqV9PLdfP4/xd27K4pJL+jJ+rgThempu4PHnY5g73RUqLOMmuL2e6f468TJ93ukmmA6mx59PlUmeucSVcXPFjgGmm77Fctyvn4956/4wDdwg9pXlLWbUFX3cheaO+yvLW9JM817iyn9ZV6qu5bhfPy9z1xfLSbmr8maev055M93cV1BV12Jft7yLfNJNMP9cevlVZca4GYbLUw13frIMWQf+6qtIjvN64X7rXWEH8Y6hvRMWrpdsBhg06QvMZmrvbEfL9p3QqGt/zA45it0JVhzIcCI8vQShafYblmrHwTSH0iBJs5XJheA+By9Q6t9Q7yRMwlGeoJqfGDe3UAfmuIRJEV+SP68FZ3mF2p3LTVbUmGE4X1/Gy3NGZjjUblyu1yeR0J/ruRMKStU2eyOem/zFmC7uHE4pLFMXL0ECoR4LJSX23sKP5wuXT+Ur6SaZ0Jv/Mh0XLS753aE2W/n6Ms3UqOHnydwS5FHtzQMKxHG3KTeb+fpVN4fUg+RbwhqbhVh2sVIOLA+jbHz9eIxaRceznWo/ANPNhJP8uKfiotml9G1ulW/6sr7OmVxqbbw7z25fyjIc9aTbX9w0+jJ9LF9q7hAsd+4m5qY2nt+fH8/HdsA2xp2w7DA92VZ/UyuJafabbjlGDaZwqYszuS61v8EA91lcLyhTbfQmP8M8cbMtJUncRvvmJ9foM25V5j5+YXKd8HqJNJVi/JaDeO6DlmjStjNCww9q0g8waNIXWEw52L5zF5r3HoJ/dRuDWouPoOnuDLQMN6FVWC5ahuaghcea789B54MmTDiVr4SvFJEISKTcnk9dFIZnOH56G7VxGu/NxrCoPLmw7GqzS6lck9xxSW0Y7ojl9vem+7JVXIZfc5qcj2kZdMyihNNIYrwQOYok6XKXZr8jZhW2mU/cPMbztTuQi7En3XGTxAhu1OH2/A4Hc9FE0uYdL43feb42EjflGkhI3PjDEatNho3sCLjztG2YSckG+Poz3U2Z9tBcTDqTj2tC1ARjp1Db1DNWdDtkVn6GGfHSmPY2Ug99JW9bvWQBMuUWjDub6cs4/JU3091oTzaGHs9THTXTTfLkyJRxc9dqJ+bbp7wNayjl0UzyNOd8oepU2Vmwk+SuZO5a7RIheZZwvnGr+lJ/5yrJhd3Jbr0i+nNT1xopb9YFz+8br3G+DtLGxkobY7tIK6LOknuEz7qedNqq0kzz9qUZZdHhgFnlzyhvttLz5lIsuFSIXpH+y1u1E/HtdNCsdgVHeLVvbtiiFg938xr5NnyV8ToJN6NVhBWvzT6APzXsjaa9hrh35MqddGVlYFzrGpr0FfJyshC8x6298+s+S/CTCcfx4/kJ+M/FyfjPRbQk/MRjP16QpLRNmgmBc5s7b4MJbpenkBo1SRjmRwuTlJ+3/Wh+In44LxFvbs9ScgjUUqH/GRnhU9SLQls/X5KMHy1IVHEZfj+Wc/1YjlEb553gTCXYdU1Gi5xiIJFRI6WtkMjfVqeqsL5x8xjP9/sVKarTYdwkIQ6+SGbUsPnV0mT8cG71eGk/4fkk3fydImDUkaGsLneWcsQ6V8iP4mG/WJIiYZNVeG9/poX2y6UpioRJmARJbOFFG17ZmoFfS76MNBrxG3/z+G+XpyhBt0VCWIZ8xFUZaXePNOGPq9y+P5Iy945XxS1l9sO5CXhZ4qDyKXejlshdFUewS67YUC8kG79ZJvmW/Pmmm/YDqaufShugEN45s1ORNoXH2MG+K3n+ufzGuH/s46eOedJNrRoOBqh1xLuUy3K3ws75fyTeH0jabipvsR8tTMTvV6aggXRY1N6hmB/Jl9IT7Pjel3pgmmnevjQjbmrrtJPO0ihvbt5bH1esxAJ/vyJV5dcoYyNe+vHzr9KOqC1FgTXewRKUCpl2zq0P9TtpR8pXwleLf7HUxbJM/MeIUPxnoyFoMXA0wg4d0aQfYNCkL7AI6W8P2YPGgyfisX5z8OqiGNTekY4P9uSg3m4xIYe6hslFwxEcNVM4TWNMk1wQUpggo6OmMjKss9Mdjn7eRlXGunLBfiqjdcoMq232ctvPKQ4KgHU5ZFIkQVE1xmX48Vw81lg6mmFRFuxMLFYCXpxj5QiMUzNjZATPEZ47bPV41TH55CiOGjuH5Fac5EnSzygqxfyLhWgg8dYRIvP2M3yZbo5Kh0Tlq5E+pwwYN/WGKBzHu5sGUk5UX/QbtxhFwsZL3OwoCPpTFpmE2kDK2UhjlZ9hcpx3SLw74tSDQ4iT4DTTjPNWNJNRphGHd7y0OizHHZkqfRzpF0i62VGm2kqxXcpw0HELGgqxqnrx48+6Yr5mSMfGaRaWFzvZHYl2NVomgfqmW/l5jrM+OFpn/SjtHclzgpxn7oUCFW9d6cBv8lX+WaqDHHUizyML7dbeoVInp7modMk007x9lb8nbt4VTj9rrSpvNlNOJ7EsGnqVtxG/O17335/I3Sa1fyjWZkynUZqaWkC9D1tUO/QOb9gHe3JRP8yCF6aH4o/1u6F5j4F6pB+A0KQv4Jz+tu3b0bx9Z7Tq9Sk2HojG+ZwiXCsox1VrmSJlb+OFlC6jdO+5Vo7YqafCETjlg319aBzl0ZKNeVrJPv3py9t+qj9y3tqfL+2a1aUIi3PKvBgZNUdwnKrh8wX+7s/PsDj5nQTCzoZxEzxPtuSF8V62+PdjmmPFl7LA7GSUdIJEzukGTg+REDm/fqt80zgHzrgN0ua/vNvgfPfVL/Gj8dwpMtJkPo0ZapIgn4N8WZ6N8mb6lK/kWZKu0k3tGdYD08Uwfv2lPPj8JEPKhz4E73CY7oQvqWfDjPIm4ZN0eQaeJ0vOp+K9RXnTOC3DKTw+A2FemW7eVDIfydIGjLz586X6Kdsop8CMdPNfnosd9VfVFeuEeeZUmtub5e2eCmRZutt4dR+WE6+XREcFlu86gNfqNECTFq31g9wAhCZ9gXv1zla0bNkCvXt0w+mYKGFTtwSwhobG7eHIoYOoo2UYAhaa9AW+m7P0On0NjTvHoQi9Tj+QoUlf4Ls5iztyXVqGQUPjjqA3ZwU2NOkLfElfa+9oaNw5tPZOYEOTvsB3ekdr72ho3Dk40lfSyo31nH4gQpO+QJO+hsbdg3t6h6SvR/qBCE36girSb90a3Xv0xNGoaBQ7nGo5JZdE+hqXznGpo7EMj+Anl9VxOSN/v5Uf12rTeG5eBzT60Yz4buXPOLl8j/4ML/9X+XM5IuP252cY/XgOw98A/3an7VZ+N/5mGuXDHbfH151n/3EbeWa83JDF8AZ4Lne4W6eb/vTl0kN+enMHdWWM8r5V2t0m5S2fjJvuNP7tjt/t78/PiJth6EMoP/X7l5c1jXVlpJtxEfzg3yyTL0uziluFYdpv5Nvw9+dDo586twRS6fb40VG+qjb7VWmnv9HOvNyryutW/vydCD0Qgfdq10Ujrb0TkNCkLzDW6bdo3wUten6KVWFRiMkowoW8cpwzl6mXmHvbGTFqkHAtMxs7wbX2XD9NPRf+7utDOy3GHZIX81xqDbW9zH2xcNcj1+lz/TTDUTPF15dGX+rzcBetsUeA/nwXK9df80XW/vwM42abCxau9S+r2mlJQuLGG/fv/v2YH+rPcG23Srf4yHWvfLlmnevR/fnR6Mt0R2c71bpy7hEgGDt3mHJ997kvSTf9T+SUKL0Yrl3nenGCZJpSWKbyzDC3LHPJE9fD84Xs3Ain0i3/cJ0+90UY/v583ekuUfmjdAPTTMLjevW4fHeZ+PMzjL48Bzdk8X219Oc+hVSWt8R7Kse/n5EelhfrqlAybZAqy4/r6NmWaP58Wc98ETz3Ahg7mBk593cYefb18zaeg3njBjiWFcFOgPs5eE6//uZSnJfr5bKtAvN2RuLFBq3QqG0XhIZHaNIPMGjSF1B7J2jnTjTrNQSv9hyLdmuPYciRHIw8UYARMVZ8Fp1fzT4/kYeZ56xqV62hTcJNU5vji9Su0+ESZnhUdR8aNWC4G3f6uQIcEl++YJrEyS361DmZe6EQI2PyJNzNvrQhURaMO5mvZBe4sYi+JcIGlyyl2Chxc5cww/mLm8eGRUu6z1uVyBgJgOBmq5BkO0ZJvIOO5d3kRxsmvp/L77PPFypfShGQ/Ci2RhE17iambtDwqOr+Izy+zPOAoxbMv1igOiyCo/QoIfN5FwvxxQkJ7yfNNJblkOMWtXt2k+TRIDG+DJ0yGCxvxuEvzzw+WMqcshXchUwfkmehEPgZk1PJI4yRuFkvvr5MO9NMY7gkSTdH+Czvs+LrzrP4MV5/aZdjlLdgfe1Osau46c+Xz+9MkvKWeD/9kvLmblyWF0XyUqRtUVGUbY2b6JZdsUmZ5Cnz58vjrIvFkkaKABJspRctTqyKtUmZ3dymDWN5M20sM4rCUVGT4C5sCq0tkDSxzBiumq9cJyPkehl5xoZGyyLx9+YD0LjXcIQePAy9IzewoElfoLR3du9BkyGT8Keec/D7qUfwp+WJ+MuadPx1TRr+sjrVbatS8Sexpzalo/2BXLUdn3LGxFlTiVzkZjy3OV2FZbgqP49Rs4Q6M/V3Z2Pr9WJF9hyxcvQ050IB6u3KxgMSH7VRvP2oo/JHsYfWpSrfeXLhcbTHURhJMCzVocjpha0Z7rArq/urtIg9viEdbSTd1G+xlLjTzZEkSfeRdWn4zfKUan40nu/3cr6H5fcm+3KVbg9HuiR97jbdEG9D8/25eEjK6i+r0lR4w5caLkz37zz5aROeK6NT97MS+rOjarQvB09Iurz9qkyO8fhj69OUPAV1fwzSZ/5Jbs9IXTB/f/LJM+0PcowaN5QLYHmbpZMlh1Etkh000/PY+nRVL77xM+30/ePKFPQ6bFZ3dhz0UmQuOLFIadM8vNadX9+65ncef1TKrKWUDaUqcu2UYZB0S+fBjp3lyfN7+9H+LMZ0P7kxXYmyrYuzSUfpUiNtqxBvaEqxkndgmmm+/kZZ/FPKtMchs9J1Ilhqe5KLlbDeM5uknUhYmrevUQb/2pyBrhEm7JG4KIdNZEhdL5NOpOneHDwp5/YO7za5TtZKPa7Pxs9Hh+HnjQeh+YBRWnsnAKFJX0DS3xGyB00HjcPfeszA36YfwYOrk/HIhgw8LA2cF+hDHntQ7I3tmTKyycfxLKeMwNx5oPYOVSj5G8M/KITAT2/72xr3BUKyiZCRJ6cMeDFzWmfBpQI02putCPDva0nwN/wY5z/k2AtbMtA90oygxGJ1qy2uatR6SEZgHJm+FZyl/B6QsN7xGt9fl7QNkREg7zKU1K/8T9KnZhCJgGnzjpfG70w3iaBLhFlpwVCvnSqblH4geVJh80mWlVz0vv4PSDnQnhH/fkcsasqCIOnvkHyQ2NhZPSRh6Gv4G38z768HZSq1yiOZDqUvT/COgXcXL2/LVGXtm2cay4yCbNSxYXlTJ4nxZhWXYZvcJXQWYmO+mD/G4+vP8mB9cCRLWQPGXCikvyvJ7csyY7p965pp4bG3gjMxwlPenN5hU+H0ylgZ/T8tnRXT5l1eRp5ZXq9KvqixQ5nkHEeZeg8BR9uUuGb7YZpp3vGq8hJfduBvSV2PkvLhnQHBtkLtoh6RJrwi5zbiolX5ev6mqN9EuYO6IHcGLC+CZUY11vbhJry41dPGPeGVScfM6+WRzdIhfbEbv67TAS2790N4RCQsFk36gQRN+gKLKRdBwcFo0aUnPuwxFGODj2PtlXxsEWLYLLbpehE20oTgaJwO4bynSUaOJD+C0yWcR90poykVXsLx09vWyzGO+kjSnMPnFAcvRuqpcN6ZF+UWCbeB8Xj58Vw8FiwkSTVPEjVv9xkzH7Zxnp1xM11GWO94je8hkjbO9/IOg/ESfNkG529Jgkybd7w0no/Ht0nc1I/niI9EQHc+x0goKMOhdIcaSXP6xTff/E6jwBnnuJlXgsXGaQtOGTBfKhzDG35evswX58A5rWS0GI74mRd2HEY473hpzPdaGSlzmoJ5Zpw0vvyEGjKUxlb5voU/871VfuezDuMOg1NqnOs+LB0Qff3FrepPjAJn5+TORk3teOLmnDzvdni3xVF8tXr2GP2pcBkjdUp9Id4NiqsaIPDuilNsqi35xGuU2Wb5VGUm6fZ+hkLfo1kl2CHnNuKiefvy793ie0naI/NMP0K9L0I6LE5psr6Uj1f8m6X+t8jxbUkOfLZuP559vwGatfoEYeEH9OqdAIMmfYFavbPVrb3Tp0c3nD0RJffDWntHQ+NOcDzyIOoq7Z1GeslmAEKTvqBqyWbLlujVoztOacE1DY07hhZcC2xo0hd4b87SMgwaGt8MWoYhsKFJX6BJX0Pj7kGTfmBDk77Al/SVyqaWYdDQuCNolc3AhiZ9gfecfu8e3fVLVDQ0vgGO6jn9gIYmfUEV6bdujS7de+Lg0ShYitxrq91WUWVcW8817lw+p5bhec7BNs3lk9w16R3e2+jLNe4MQ18DXArt7ctw/nwZr7HW3Mv9K/2N78pfIuZ6ccOfn9zkxeWX/uKlVcVNX3HwjpvLTpkmf37KJL/KPP6++eYSSC4H9OsrZsRtlLcBw5fLL1U4FcfNvv7Km38y3Twnz33LfHvOyXCM74ave/mkkW7fuI3vRrol2I3ylj+YbpaHvzTTvPOs6tpwFjAdLG/63irdNKbNO92EUWb87ct8GTfDefvyTzmkzsnfb/Zz56m4DNgdegDv1qqNxk2aatIPQGjSF1hMJmwP2o6WHTqhYdeBmL7rGILjCrAnxYndyQ6EJNmrbFdyMQ6kOXDR4lK7WkkeBBs8N/AczihR65y5Ttrbj8bt99zFy/XqbkkA94XFi4jvn6U+zb4Ud7hqvnKuXfIZmurAyZwSpBeVqgufUfNC5Np3xn0ks0SFZ1hvf+M7082dpVyzzs0+hEN6gKtWl3rhOddve/sZxvTsS5G4c51qN6vhWyr1l2svwylJE9Ptz9cw+lP6wFinT7D8qAXEF4f783FbMcIl3dwoxJ3ABhGR7LnRi78Z5ePry2Ncx88X2FP+gGVFdxJatqSbcgosU1XefuqLvqxLas3YpI4I5p3nYrpZnkY83n7qu/jxd27a456MUvHjGZhuvlOW5cHze/t5+4eJL9PHTVHcAEhfpp86S9Tz2Snt6KZ2QmM+xFim7rX27nTzX0pu8Ji7vP3E7SkDvkSe+0ZYV56qFrKvUHsGzkobUGXuFd79twN7UqX9ZpZj3MZQPF/rIzRt1QZhYQe09k6AQZO+wJKbg+CdIWjRZyie6TYO7yw8jAY7M9BwnxkN9+bi4z05yj4Sa7A7Gx0PmpRODoWmDEEq7hBddLkQXSPMaLRXwu52+3jbByHZoNQCdVG4m5ejNeEAZBaVyQVcjKFRFjTbl4sPQ6r78Vz15Vir0FyMPpEnBF2syJZaLhzFUlNlxRUbekaaVfj6Eo+3P335yXTPOleAE0IaJHuChERtGZ6bafP2ozHPTDelFj4/ka82Uxlb8/mibW5SGiNpojSAry+tgaSd1kL8p5y1qg0+BM/AzUeTz1hVuhpKWMbl7ev+no32B0yYciYfUdkONdIkuNFo/qVCtA03oYGEYxzevjSWQ52dWUqugXFR7Iz/kcyOSD6oVcR8M3/+6ovyDY335ai6TiwsUx1OiRT6CSE+atO0k7hVPD6+TAvPx3RPP1sg6XYK2bsF8rixjpo4zaQ8akvavP2q/KW+mK/Jkj5uILNIJ8Ncc4TOjpOyGR9I2phuX1/G21DaXwcp09kXCqrKm/70pWZUJ/mN5XpTeXvywd3GCy4WqoGNDOIVuPmQu4HHn8xXu3JVfXnnW66ThvvNaHygAC9N24c/122PFl16I/zgIb0jN8CgSV9gUdo7e9F08ET8o9csPDTjCB5bk4wnNmaKZait+NStoT26Ph1vB2dhmBD3YRlZGyTEUdng4xYlw/DExnSl6cLw9DWMW925xZ66LbyD4KhNeF+JYi0SAmu8LxtPS3zc1u7ty3M9si5dyTB0oB7LNRvSbKVqmoa7Jg9m2DEiOg/vSrrox2343vHSl59vbScBWmQEaldTLgR3l1KGgZpB1P3xTTO/M93Pbs5AWyExjk4N3zQh3k3xNqVD9OymG+Xk7c/yoj0nae931IJLhgyDjPwomNY2PBevbKtexr5/vxGUiR6HTDKaLK7qrKi9Q2mGF7dm4BFPHEachrEc/7Y6FS2E2DlyLhJf7qDOkQ5z2/UiRW4sU0opPO7H/x9SHk9Lvj6TsuVdBauaUxmUouh+yIwXpEyYRt+4+Z119tq2TCU9wfCsJxIoVUUpH0FtHWrXePvR1PmkvijD0Fs6cZZ3lqSXHU6+3BmFyR0ZpSsot8B0+/oyXurusMxY17xLIei/L6VY0m3C60FZVeGNMjZ8+fe7O7JUnrkD22jfHOWvvspONleljeGM8FW2KRNPbjXhj2P34dcf9kDLnoPcMgxmTfqBBE36AktONoJ27Ubj/l/gxf7T0WJtDHpF5KDfsXwhqjz0lQvXsN5ivGjXXisSIihVc+kEZX9J3FSU7H3EjD5ePob1OmxBj0gLZp0vlFGXS00JcZqGdwnc0j9GRlHucOZqfjxXb/EdJOeefb5AbcPnVAevR5LJcRkBz7toxadykTNsHwnr7c94+TlS0r061qakAThqJEiAG+KKxMes7lK8/Wg8X0/xZ77mysiRUwu8u2C2M4QIOC00VUbwFHzz9aWxvGiDZLS9Qu4oUqWjIFhunDrhXY8/P2/7TMJw5MnR+o2RfjmWyfn6S7y8w2H5+Pox392EnDkq53QMdXuYbZOjTE1xUO2U+ja9pE58fWnUOWK+KMfAOwvGTGVR+rKjvFW8zC/LjZ3S4ks2lW5OD7G/4kh/laS7q6Srg3Si7BRo1fzlnFREXXKZviXqjsqtvVOBaPnO/PSUNPtLt9HuOAhYK3XNTp3gVCLvGiadzldqqr5+NMOXd3SrY4vcI31PeWdLXVNojqqhVAf1Dq9MrpN+x6UNnijGRwtC8UC9tmjWqSfCDmhp5UCDJn0BtXe2bd+Bpp17o1m/EVh94CRiMotwzlyqNF9I0N7GedFkud0nARjaO1YZhVHcivPe1ITx9aFR253G+XdOMfBC5EVFbXeqL541u32pmX+Tv/iRrKnISbE1pcciUfOThHROfEkuDMtpJ29fxslPXsRJkm7eqjNugiNndjox2SVq2sfX1/A/L+fnHQmJhy/1oDvFx1IKS9V5OXXg6+dt1Mxn3EZnw2chcdJR8jkEn2VQG96fH43z4hzZm9UzFOWunoOwHJV2vCqzm/14jPVxTcKpulLx0rdC3aVUpduPL43n5R0cidO4w2D6mQ+WFTX+GYe/MqPx+QnTyGcA7HBYZrxTYF7oSx0lpUXv48f0nJe0UdeIekPs6Fhe7Gz5LILPBBivvzwbxvc6sIPxLm9+Z9u6Vfs0jOXC6SzeiRrtm3d3TDf9lfn6SXznLFKm1kos3BGOV2o3QJMWn+g5/QCEJn2BsXqnRetP0L1nLxyLioa9xP3mrFsZL2D5vwps0zxOMvUN62vevvzkdx7n9ekb1p/5+vMY4/3acYsZ4J88frvpJow8f13z9SePcsT/TdLNDsg3rK/5xsvz8Ji/sP6MYQ3wTx77uummecfPTx77OvXl7Ufwbx7zF9af+frzmDvem8P6mvIVM2DU9ddJc/iBg3hfr9MPWGjSF9xYp98Cvbt309o7GhrfAFp7J7ChSV/guyNXyzBoaNw5tAxDYEOTvkCTvobG3YMm/cCGJn2BJn0NjbsHTfqBDU36Ak36Ghp3D5r0Axua9AWa9DU07h406Qc2NOkLbpB+S/Ts0R0x0VEo09LKdwap00qXCxUOByqKi1Fhs6G8wIpyax7K8ywot5hRbjahTEz9zWP5+fK7hCksVOGVX4kDldLxVpaVqXNqfHcQGXEQtTXpByw06Qvu5Uj/Tpv+7fj5hv0mlxt9fU1BLuLK8nJUlpYqcq4oKkKZKQelKUlwxl5FyYVzcJw6CUf0cRQfiUTxoQMoPhCG4rD9KA7dC5tYcbj8zWNCEsWRh1B89IgKT7+SC2fhvHIZrutxcs5klGVloUw6B3YIlc4S1bGouKVTqGQ7YnpokjS2Klq5x76slVXLkw9uddwXvuG+6vv3HXqkH9jQpC8wy6hzW9A2tPikHTr06IM9kVFIzbcjt4Q7ICuU0qG3cYcld3hyp6TRlrlphZIIJkeF2jHr62MYNUy4A5fyC8YGGO7K5S5R7pSlLII/PxrVMalMybCMj1FzQwzPxfQwXf78DKN0A8MxvKEOyk8Kv/Hc/nyoqpnJ3yRfFmcl7M4ylAnxlltMboK/egklp0/CfjgCtt07Ubh5PfJXLUPekvmwzJ0Jy4ypME+ZAPOksTBPGAPTuC/ERiFXzDR+NExyTP02aRzMUyfCMnMqLPNmIm/xfOSvWALrulUo2LIBhTu2oyh0n+pAHCdj4DwvncJV6RQS4lGangZXTg5KLBbYrIXIs9mlDkqRLnWXZq+ESfpvSXoV2OqkKJAv+XbXr+TPT/4zpS64A5ZlZshtsLy4y5U6OF9WVzSWaZ6qL3d58wyqnTjdvmwL/vwoeZAjCWQcjIsSDPRllVEhNF/aiT8/w9j+jDZqpJsncMq5uBOc7YB6Pv58afTlzmslUOdxZztjPtj+mDZfHwr38XrJk3Lduu8A3q5VF02atkBYWLjekRtg0KQvMJtyERS8A8279EGdHsMxMugYlpy3YHWcHStji5UKJY3aMbTN8UU4mlWitGd4MahzyIXIY5uvM3yRCmf4GbbsSiGWXi7EnmQ7Egvd8si8Jq3OcrX1nXK3a2JtWH7FHY/hx7+Xi62JLVJ6NZS9JVEzapdcZNxeT3EspssI6x0vv/P4Jvk9MtOhZAUoC0BQFoB6OuuuFWGZpK1auiW+VWIrJU0bYgsRHmfB9bhU2M6egX3/blhXC7nPmgrT6BHIGdIf2QN6I2dgH/V3zvBByPlsCHI/H47cL0bANOZzRfam8V8I+ZPsR8NM0uexsfLb6M+QO0rCfj4MOSPFb/hg5AwdiOzBct5P+yC7fy85v5h8Zzh2FHlzpiN/6UJY16+FZXsQ0vfux5WDxxB17Dz2nkrE5vPZWHPehNDrVqTnO1BWWibsVQ5HaTkSpPwPpJdgXbxdykfq7JphzK/blko9UKuI9Ur9G4KkmyS+4al2rL12o278lTfLlEJvVLqkXAZbe4GQKSUv6LtEytvbj6bOJ/FS74fSzJS+oEKnqmupM0puhErcbEs0f/78ZF0fkbomwRPk3DSp90OS503XpZ1IvhjWCG/8TaPvoQyH0knyqE8onahLeaXYk2JXafP2VSblxetlQ7ILg9aG4ek6TdG0TUeEhR/UpB9g0KQvsORmI3jXbjQdMAqP9ZiCF+cdwTvb0lA7JBe1dmWj1s4sZe+LUYGw5f5cTDtXgNMyhDRGUtTEmXq2QEkIM+x7Es7wM+zt4Ey8tT0TA45ZlEIn7ww48qN+DUXPqCRZLyQL7wS74zL83pdzMV5KJA88alHKixxFMmqOvqKynJh6xirpyqlKo3e8/M7jzfblKDnhKCExQ5OFI9xFl21osCcbb0ra3PFKnpnvXTn4cGcmmm2JQ5+1JzFvxX4cX7Ye2XNnIW+MEP2nfZHduxsyu7YX64Csfj2RO3IYLNMmIm/hXFhXLUfBpg2wBQfJXcAuNaVTxCmdg2FVUz1FoXtg2yO/hWyHbfsWCb9OOpPlyF8kdwrSoZgnjlHnzJbOJKtHJ2R2aYeMbh2Q2asLsiU+piFn2KdI+2wYrn4+GkdHT8aOcXOwbPIKTJ6xGSNn7cCiNeE4d+gECq9chTM5CbnJ6Qi/lIkvIjPRZHem1JXklXWtLMdtkvc3pR7qhmQrYTYSPXmLstIkRArFfbg7W9WNb13zO49TYpsyyOxoeXfGAQI1fygeV198XwvKrOZHY/mz/huL7xjxpbge7wwZN198Qr0eqrm+JW2J7ekmf09a2A6nSXuk9g9BDR3q/VCau5mnnRim/GhMt3zSd+qZAqXRw06O4OieooAUoGO+vH3dlq2ulzr78vH0lL34Q72OaN61L8IorWymyqb7PBrfPjTpC/IorRyyF02HTMEfes7F/0w6il8vScBvV6bhtytS8dvlKfiNx/5naQqe3piuGr+3tPIZuUColvjkhgwV/tfLUtSnt/1iSTJ+vjgZH8tFsy/VoUif/hy5TztrVRf7H1em4JcSB+My/HiuX8kxSv02lQuWI/5MuYVn1LyF3y+jL6pkPiXpoh/Desf7K09anlifjh6RZjVS5OiR4Kh/ZEyekiD+maTtN5JfZfRZkoh/zD6Pd0btxICeU7GqdW+caN4SaR1awzSoLyxTxiN/2SIUbNkI2749sB89gpKzpz1z8fFqLr40Ix1l2dkok7upsqoHt3lu8zzYVb9Jx1uWnSnh05SfK+E6nNeEpC9dUOd0xESjmFNI+3ajMHgrrBvXIn/FUuTNnwOzdDJZoz5D8oB+uNypI042a47I+g0R8mETrP2oDba2741Tw0chc84smNeuRtzWHdi4PhwdFx/Fk7NP4TezL+PXC67hN4vixa6rfP92aRJ+tihJ1cfAY3lKtI1geZP8mkoH+ufVaapufOua5c9jlCumBDNHx6qDF+IjCVO2+K/i+5NFydX8aEb9Uba4a4QJO1UHz3cncGqlTO70ilX7+W9pS2xPvr5GWp7ZlK6UTSkOSHB6aZfcSbYJy1HnZv0yvNHODF9+0new+FIIz1DZ5Kh/0aUCfCSd1UPr0qt8jLh/u1yuk5VyfE0OfjoiBL+o0xmtegx0SytrPf2AgiZ9AV+isn3nLjTrMxwv9JyAhsuPo2NYFrocsqCrMrP8LRZhRueDJvVSDkorx+bfkFZOklt4kjF/6yoj9s4Sln7eRildvliD0ri8VeYtP2/ZOT3DC3LsyXxFynypCOMz/HguvviCevRzZZTIF7BwblaN9GXETgVM3mIPibKoNHY6WD3eTp60UJqZL1tRMsOei5m3/5wW6i2dRjtJW5fDeehyJB+d9qaj3cIj6Nx/Ib5o2g+bPv4EJ1u3RUq/3mru3bZ1Exwno+GSkTNX3aih6D1Chd2uVgC5UpNVB2M/IR1C2D5J00YULJkP6+SxyB8+ELn9uiOxR1dc7d4N8b16ILV/b6R/2g+xAwZib/dPMfWTQejWbDiatx6H5t1no+WglWg9ZhvazgpD+5Un0GZbHHpE5GJdsgs57lkS2MWiTWWYecGmpJtZN751zfLnMRInp/qotul+ZWOlej7C6RPKJ7cJN1Xzo7HeWdesK07zUAW0wMkOns9eynE6t0SN4NmWaL6+Rlp4J7JR4skQsiY40qfv3PMFasDCdqLatI8vP/muCE4BUU2U8RKcvuR7GDg4oZy18qmWbzlnpNiRAtSZsxf/qNUCLTp0RdgBTu9o0g8kaNIXuB/kBqFlm3bo6HmQm2a1qwda1UwuWE6rmOVvzqnz1tegOpI/R3P8jWEZztefx2h8SGb40ujrfpDrfhjr62v4kaBJ9sazAIKfJHAVt1yYRhp9/fnJtBl3F0a6yf2cNuC53eEqkC15Tz11HrEz5+KClMnljz8Ssu8Dy6oVcJw5jdKcbLVahytopBI9Z/oWIHGr1TsuJyodDlQyTQVWVFhMqEhPQ9mVSyg5fhSFe3Yhf91qmOfORO6Ykcjs1wuJrVviUr26OPP2Wzj17rs483FDnOvQERcHDUHspKmIX74KCXv2I03KIS85Dc68PMmzDeWOEjhKXLBKWZuclciVIsjlZwlfo3ij/misj6ry9hQ4p/OM8lYPP+XT15SvfBq+3nXNgQLbjxGHP19+ckqI8TA+A/Q1HuSyndzKl+nms56qh8ACthP1ANvwp/k5B8tgm3qQWwdNmjZHaJhevRNo0KQvUEs2t25FyxbN0E9GhpdORclR9+38/QfJd/wlVCyYAXvXT1DcuwNKZk5E2cH9qJCRNSo8Q97vCri8M8+MshS5K7h80b0kNHw/SnZsRen6lShbPBvlM8ejbOIIuEYNhnN4f5QM7omS/l1R0rcTHPJpGzEQ+TMno2DjWjgOR6Ay4ZowoNzdaPjFySMRqFfrPTRq2Egv2QxAaNIX+K7Tj46Kgus+3ZFbmpyE/PmzkdG2hXo4a121DK64WLUW/3sHIaJKhx3lWRlwXjwP+8EwFG5ch7w5M5A7YiiyurRDWpMGSGtYD+mfNENWn24wjR6JvAVz3NNbRyPhir2CsswMVBYXeU6qEaHX6Qc0NOkLtAyDG5wqse0JQUbntsjq3hEF69eoh6kVJSWeEN9TlJehwl6EcmkHZWlp0snFwcnNZXJXYAvdJyN86QjmzVJTQ1xFlNm1IzLaf4Ksbh3VElM+ULYfO4zStFS1E/l+Jzi9OSuwoUlfoEkfqJCRasm5szCNG4301s3UJilX/LXv5wj/NlDhdKE8N1etIio6EIaCDWth4Z3AqM+Q3bcnMnt0Rlb/3or8zdM5BbQO9pgotWqpgs887kNo0g9saNIX3CD9luglpH9SLtrK0vvsgs1Mg3XBHGR0/ERtqioKD0VFQYH7SfP9jtIyVBbbUZ6Xr+QguGKp5OJ5VUb5K5epjWZZvbsho11LZMron7uMC7ZuhP3UCbUEtcJerB463y84fIjaO+8L6es3ZwUiNOkLbiL96ChU3GekX37tCnL69UR6s49hXb0CrsRE6fjcy/00vEDyknZb4SxBmckEZ+wVJUFRsHk9LLOmIXfEELUzOXtQP7X7uGDdKjhkEFGWlfn9nybz4LASXNOkH6jQpC8g6QcFBaFVm7Zo3bU31oYew8lMrmcvVWvauc7asHNiV/NcanMUd8MaOeDyNi6T45Z7X58qX5MTZ8W4/ln5eq4D+nIpHI9TjoHhbvIVuyzxcjMVt/IbS/F4LXEpHpf4MW4jrK8vP5lubuPnUj4j7jL5zCmpQGxkNK42bYzM5g1hjzyISrvdfXKNL0UlnwcUF6EsNweua7FqpzF1g3JHDlUPfnOE/C3TJ8EWvBWO82dhzzUhs9CJi/nlOCPti3ssvOvKqK8rXnXFujZqgst12QbYjvy1E8O4h4SaOGwbBrj8k8sqr8lv/nwM4+5yLidleANsL1zGyTRdld9v8pN2y+vlUn4FlgSH4bX366JpsxYI1do7AQdN+gKLjNi2B+9Aqy698EanwWizMhIDIrMxONqKwVF5atv7II8NPGbB+FNWbE+wI0FIlrssCa5dDk9zYOb5AgyNkrASjuHpa1j/o2b0E1t82aYuyhIZSNOdJH4ix4klcpy7NRnO2/dTORfjHXUiD6tibWr3L0W76MuNtbwQD0rcsyRu+lHmwTte+vJz/Kl8bLleLBe9S20KIwqk8wkV38Ur9iLi7Vowf9IUrvNn1G/3PVjA3vZVKC9XO42dly+haN9uN/l/8Zka+ZuGDYRl3iykhuzBrmOxGHnMhL7H8m9qI0YbG3MyHxvji1VHX+Rya++Qg6mfwzbAdsR24u1L+9TzOfG0FcGJxUL8N5bYpksnsC/FjilnrCoewxien4bvpNP5CEmyq3Zl8D7X6DMt3PA1Ttq/ikvSafjzOhkSY8XwU3Y0mb8XD7/fFM3bddbaOwEITfoC7sgN3hWCFn0/w8OdxuKx6RF4al0SntmcJZahtqU/7bEnN6YrzZFRJ/JxPPuGNkm8tRST5WL6cHcOnhMfSjUwPH0Ne3xDGh5bn4YOB01KiMvqdG/aoZIjyZg7cV/amqHCeftSXuGfYq8FZaBHpAnbrhchy3NBcjTGUd+sc1Y03Juj/J4Qf+94mWZ+UiNlREy+ko/gTl6CSo/zTpvQe/QGbHvudeR3aKGmeu4rSCWoTV4lDvcGrIICt8a/kBVX9JTLoKCaVb0LIA/l1nz17IN+Ve8PED9Xagocp0+hcOtGJTCX070D0jt+grP9BmLqhNV4e+FpPLYuFU9vzqxqYzSjjb29PVPJP5CkOaAgnOUVOC0dPndPsx3RDD/D2Fae2ZyO96SuKa9BojbA3b0ThNA/CMlW8RhmxKt85bPuriy1O5xCfEb7pgJsSHKx6mioLfQvT3jD/5lNkoetcjzIjL+O3YPf1u2Mlt37I7xKeycwrnUNTfoKFFzbvjMEzfp8hqe6jceb8w+jXnAa6u8x4cM9OfhQLhJeKLR6Ym3C3WJWJ7wEqTjqnyMjbUoZNBDiN8LT17DaSrwtW0ZUeUq0i7sj5TpWMrc7ZWRFrRQSN8N5+xrxNpHfhsioioJrvHVn1JS/5cW84GKB6jQYto5ctN7x0pef3PY/5UyBEt6iaiKRXVSK1acy8cXoVdj9/KvI69Qa5fHX1G/fa5DopfA5z07ypt6P2rxFSYfDh9RD2qK9u2EL2QHbzuDqFiK2eydse0NQtH+PkoBQInKREXAcP+p+j8C5s/J5Qv1uXboQuYP6ILXxhzj93ntY1KIn2o3Zinob4vHBPrO0sdyqujLqusX+HHwhxBue5iZ91hands6ZnfhcOm4liidm+Bmm6np3NlqF5aoRPadyDLCdUAKk/QF3fIzLaGfef7eTdjL1rFXdfRpTPCR96v6MkI6E567v48PBTv29JnwUZsVz0/bjjx90RvNu/RF2MFKTfoBBk77AYsrFtu3BaNalF+r3HI5JO6Ow8aoVQYkl2JZgx1YZhXsbJZCjs0vU7a8xvUMCP5VTom6Lt8htOUfuvn6b5fgmsYNC+Cniy/lWztfmO8vVdM/BdIcS82I4X1+eL0gsLNWOK3mlaos+Z2h4UVK5MUYu0F3J7rT6xm183yVpOy6En1x4Y6632FWOSylmHFy6CafffAs5HVqjNO57TPrS5riapiwnG85r1xTJk5i51DJ/6SJY5sxU2kJK63/0yCq552rGY198htzRI5QstHncFzBPHKveG2CZMUUt6bTMn4O8BXPVRi6qheaOHIL09q0Q90FtxLTvhP2LNiDoRDK2JLuwNankpvpix051Tj6noeQH65pTeZRKOCJ3amxHt2onNA4i2Eapf0+wtjOKylX9c8Tu6+dtbCeUk+azA+PZEWVC+EzoQLpdpc3Xh9dJkORjZ3oZRm4IxzN1m6FJm04IDY/Q0zsBBk36AqW9sy0ILdq0RaeefRF2JBrZhSVCxu4HrNTEMYwvtiDB8wEbCddoyuRQXhj8zTu8P1OaKnIx8XqicX6dc6Y8nvcV/jw/HwIbD/fozxEgfX3T6mv8nQTiFv9yp7tCTuBwlCBn7z4k1nsfGZ80Vy8n+b6CekHOpAQ1SudeBGr1Z3Zs415u2bUDsvv1cr8P4LNBStKZ7wLgpqxcav6PdWv/828Sfu4Xw5EjnUDOZ4Pd7w8w9P8H9nGv4OE7APgugEH9kCXfs/p0R9bAvjAtmAfryZPIz7eBsy95rkq/dcU6ZV0ZdU3e5EN/m5/wvkZ/Png19PAJttev206oJsq4Da6myqfRvv3581i+pKugDAjefxBv166Hxk09D3L16p2AgiZ9QdWSzZZcstkdJ+7DJZvOmONIa/QB0lo2Ua86/L6C8+2Fu4KRM2IIMju3Ve8CyO7fU303T5vkloqWUX9h8Dal88+3dRUdCEURp28OhqtpHH63UdVz3x7328J2BKEwaItatmldv1pJV+QvX4y8JQuRt3iBfC6Q8y5WG7t4vtLYqzJCsHlS9P1D1ZLNRnrJZiBCk77Ae53+/fpidOe5M0hv3RRpLRqrVxJSTqBqmPc9AjdWWYTc01o2Qlbf7oqIS65cRmlmptL1Vw9nqdRpK1RKourhrN2P8Xix/M4HuAxbWOh+AMwXvKt3BXjeF2AYj/GBL5fC8mXv32Mc0uv0Axqa9AU3SP/+lWGgLn1mz85IbVwf1jUr4UpJVitavm8g6XPuPa3xh4r0OfKu+J6T8L2GlmEIbGjSF2jSB0rT0mChDEP7VsgZMlC91pCj2e8bOOrmChzOuWd2agPzjClwnDl132sM3U1o0g9saNIX+JK+kla+z6Z3uAOXomKWiWOQ2boJ8ubOkI4g5Xs3FcG7Fy7PtK5bjaxeXZHRkcQ/WRF/hYPvxdL4ptDSyoENTfqCGw9yW6BPj244fyIKqLjPBNeIylJgz3YUdmqJ/H5d4dizAxXZ2Z4fvz8g8Ttjr6qHq9l9u6uHueZJY2HbFay0dLjBSuPOEX34IOrWeg+NG+mXqAQiAoT0uTSsUn3nEsIbzYPHPcfkd7fxOyUIqodz+7qlCW4XbtIPQstP2qBj917YG3kcGQUO9do4GjfHeBs3qnA5HJdaGtFxSZux7NJYUnlrfHkimQeuo+cyOGqlGPEyLVxKx9+M0/ODy/i8X2V3K6M2ENOnlpp6/Hkeppfrufn6v7ST53DtizGIa9MSmSOHoSg8TO0+vaOCDWDwQbUzNhaFWzaoNfSZ3TqoJZZ582erTVbO1BTYC2woLHaqsr3RUrnEFmrpK9uBv3I2TL2y0FPeRn25y7tC/eZdt77mz5cfrGvWoT8fb+MySrVk06ve6Mtj/M2fj2FG+2Z4A/zTWPLJtPnzM8t5aUHqdYl13a9LDNVLNgMN3xrpJwnpVzWEijKUOR0othUiPz8feflWWK00z99FdjhcclteKiM0RzGKCgvUb/kSJr+gQMLkIS8vDzYJ5yy7feKn9k5Q8A606NIL73Udin4bj2LyKTNmXCjEjPMFmH7uhk09W4DFlwvVJim1ecUTmclRpna67kgqVptnKK3gdc1UodzlRHFRIWy2IpS4St1loEyYxHMuruGn4BY1ViactmIK4xWbe7EA2xKKcNHsVITA4LwwqalyJNOBlRJepdGTVsOmeT4XXipESLID8QVSjnIBE1zzzfTOu2TD5AtFmHAoFRNnBWF1m96IbtYSqePHofhwJCqkjN208/0B36vrSryuXhxDLXy1tp4iaSOHI3PePJzdvAv7D57D6UQTbE63FALv/64XlmF3sl2Vp3f5+ivv3Sl2xFlLq9a8W6XeDktdsS6pj+PtZxjrT/lKHNxRy7rmi805yOBGvO2JxZhyVtqFmK+vEffSKza12Y9kTLCd0ZfyH0vkN18/b1typVDpSLm1d9x1zoEBN2ftlPa9yJNvX5txwYZZlx3osjwUT9RuimZtOyFMb84KOAQG6Ze7UFJoRnbyNVw4E4WIg2HYtz8UYRFHcPz0JcSlZiO/uETNsxfl5yIt4QrOnjiGyIgD2C+3jwcOHcaJsxeRnCkXp4xC/JHtl4EyDMG7dqPZgFF4uNtkPDnrCF7YlIKXg7LFsvDytky85LHnt2SoLejjTuarHY8GeV60ONXW9V6HzZgnnQUvEM9Pgko4iwthykjCtUvncOrkCZw4dRpnL1zC1auxSIy7jvTkNOTnWVFaVo5icdwnnUrL0Bw8sTEdz0mcz2/NxDvBWUp3JUiIP9sjw8BRY3SOQwggX0k4uNOYqdJs2Aviy8+6u7IxIjofkdTeET+CaqGzpWN7Z0c2ntmShX+JvbLoPDoOXIzlTbrgRJv2yJ48Qb0asMKc6x7yfY9QWVqKstxcJZnA5ZumcZ8js3d3JHTphNDuA7Bk6HTsXL0TmReuquWYNjt3pTqUGN/7O93l/aLUT7XylvJ/Scq8jpT3sOg8Fb5QOldKblBJdcY5K94KzlQaO95+NKP+6Ds8Kg/7Ux1qFy7Jl+R/LMuBPtIGnt2crszX/0VP3PV356gBA3d6q3yK/1HpbCjo94H8xjBGmzbi5TH+3WB3Niacqq69w5egb08oRj+Jm2lTPp7wbpPrZHs2Xt1pwUMT9+J39TqhhSHDoEk/oBA4pF+Qg/TYGESErMaU0UPQq1dfDBk3GyuCD+F0bCryikpQXupCsSULcWePYue6RZj6xXD07zMAn4+fhc17IxGbnntnpJ+TheCQPWg6aAIe6j0TT885ipeE9F8T0n9VSP9VadSveIyCaB/JRUGlTZK+cVGcNjmVCmaXQybMF9KnPK07HeVwOay4fj4a+7atw/q1q7F242Zs2rwZG9avx4qlS7F84VJs2rgDJ8/Fwmp3wi5++2Wk1TosV4lavSCkwguMQlck/W3Xb2jvkAgOZdjxxck8udCzPWnMVGk2zPjOzuqLEx7BNQ/pc/RHPZZ3hISe3ZSBF7fn4vWt6Wi57CSmjVqEiG59kdSjCywzJsMeEaZeIlJZ/h17OfpXQcqRa+5LU5Nhl87NumYFMsaOxsnuvbCzTTeE9xmC5IWLUSSDDNPVeOy+lI0+kSa8vSMHr3BQ4Ke8XxFjJ6tIX+qSd1Qsco76Kcz35vZMJcrn7Ucz6q8efT2kT8JlW8qXth2RbkfPSDOe3ywDAWkXvv4qLUFu0h8rbZR3jATvFHh32u+IRenzGHHRqv725OPjPTKoEdKP8RrUUK1z3bUidItwk77y8YR3WxZeE9J/fZcFjyjS74IW0mmGRWjtnUDDt0z6noYgn6WOAuSnn8fxfUvQr01dPP/MC6jf6TPM234cV1JyYXeVSbAKuIqsSL0ag+AlE9GvVX288eLbaNJxGNaFRiPdJrfr0kjdzfTrgyqbQTt2oWmvoXirz3j02hSNcTEmTD5rw6Qz7ttwwybIhTT/QgH2yq03R20yMFfg3xwJrY61CQmXKFKu4PMHpxWWlHPYtmoehg8aggnT52N98G7s3LUDm9Ysxbjhg9D1kw7o1+8LbNp1GBn5xWoK4Up+mbpFJ0lTypadzHQZIVLalkqLlGNmPjnfzLuMLdeLMFPIm2kc75Ve9V18+UlRtj0pdqXnYlzMnMvfL2Qw+Uw+RktcE84WYuJ5uU2Xu5bNBy7g5OLVSBo0AFm9hfgnjlGSwepdsCUO5f+9ghCj0sZPT0NxTBSy16xG/KhRuNa9G9Jk9G8a8znSVq/FEWlry44mYUKMxV1eZ8S8y9vzSQE+yhtfzeP0jvvdBSTPEGk7lLkeFZNfzc8w+vPuizpMly0eaWVJm81VLt+dWCvkO+6kVbULf/5ss3Nl4MF4qKJKsNOg/j7bJzt5f368M5gkNp/tJLlY2rTcBXkuUc7jR2Y4sFzapF9/iXPyORumX3ai47L9eLx2CzRr2xlhB/T0TqAhMEhfUFleilJ7OuJOb8OA1m/j0b89iA+6jsHqyDhk5ts9o2Z3uILMazi0fgYGtaiNZx57GR+2+xy7T8fjTmmIc/rbgrajefvO+KT3p9gWEYMrpmIkFPLFJGWIF5KsMhmppQjB86UlnKc10sU5T17QnAelfo562FruRFHmZZzftxyfD/0ULXuNw4KNobhwLQHx8bG4cOooNiyeiYEdO6J754FYumEfkkw29dCQKpipcq5rVpcaHTLeRLkIeRHzYZpxMboF2yqQavNJp5cpf/lkGD4MVg8mPemWUyFH8hJX4FJxsUOIk/wJN+B6ngNZsddh3rYVOaOGI6tnF+RKJ8UXpvN1gWqVy3fxYpY0cwBBA43zLvz0AmWWy6m8eeQQbKuWwvLFZ+qViMl9eyF2ynRcDN6HS1dTpWylzIoqbipzWrKUN0fpvBtjfbHM2S6y5BjvBGn+/GgkXIbjA1UuEiBpGg9xeXfGOjXq1dfYZimqxwfFhrAeq4m6USlyXtaxPz8af0sRXz4LcHg9H+N5cuxlKl1UlL3ZtwwJtnKkyEW4Zlc43ni/nnqQG8YHuZr0AwrfGunfvGRTGkWlFRnXD+LzbvXx4uP/RJshs7HzXDbypbHdQCVK8lJwepeMkrs2wWsv1EbTntNwJC7ztkf4Bm6s02+N7j164nhUFBwlTnWR3srk/2rgd7ZrZe5DqHAVIeNsGHZM7Yt2bbuh6chN2Hc2Xe4O5EIuL0Ops0TuWs5gx7J5mDNhKjZvD0eKqdB9LvrLP/7ipXnDXzh/5p02b/C4b1jewLDUy+VWpjQrUylR8vV/3NBE4bC8RfNgP34EpTIq5qsDAx1MY3lBPsqys1CamgJXYgKc8XFwXotVyzed167CFXcNruvx6rfSpESUJSehLCEeznOnYdu+FaZxXyC9fWuktW2J7NEjURi2Dy65S1R3dH7KkCb/Vytz/s3j5GLfsL7mr7743V9Yfyb/V4O/er6Vyf/VwO/+wlUzT7gDB/Q6/UBGAJE+YUN28hGM7dUQrz/zDDqPXIB9l80olNGpN1zWdJzfuxKTe7XCW6/VR8u+sxGVmOP59fZxY52+W3Dtbr0jt7ykAPFHgrB0QAvUeb8R6g1Yhf3nq697Lys0I/5YKA5s2YjDkVHIyLMpwg008OUh9iORyJszQ0a8XZHetgWyPu0D67o1cMbFBvSOVqbNlZqM4qijSkiNLzPPmzcLlumTYZ48HqaJY5SZJ41TsspU36QssnXVchRu2wTbru0o2LYZedTFH/4pslo1RnbT+sgfNQSuyAPSbAs8MWkQ+sXogY0AI/1CZCZGYnTPjxXpd/l8EUJjrZC73GqoLMrGpf2rMaV3a0X6LfrMwrHrd76JyHdH7t2SYSiXkX7Kqb3YMKoD6rzyEh5/ux2Gz96Ms4lZKDD6lFInbKnxSL1wGskJCbAWy4jU81OggTtWXULwhZvWKQnh9E+aIrN7Z0WU3NhUcuG8UrEMlAu8Qu7WXAnXUbRnl5D4bCWHTPnjrIF9kNWvp5quYQeW2auLMu7QVcf69EAWZZElXM6QAUqBM3fsKJilY6DscmrDekh45lEkv/kSzBPGyN1BnCdGDULLMAQ2Apb0X3v6KXQcPhch57JhKXKqsGw4FeVlsJtScDpkGSb0aIE3X/0wYEm/soKEfgYxm8ah60cv4A9/egBPvNEIg6etxoGzCTDZXGqJZoXTjlJ7IZxCqpz68S2VQEJlWSnKZNRfcuY08pcvEdLvhJS67yC9WUM1Ui4OD1UPeispafBtXejlUqZFRSi5eBF58+cgo01zpDaohfRWTZEzeABMkycgb9F85K9ahoINa2CVTkzZxrVy57JK7gSWqt8tM6fJHcBY5Hw+3K2T36ubnKsFkmu9hYRnn0DiS8+otf3fZynqO4Em/cBGwE3vZCUdxtjejfHCIw/ig5a9MX5pEIL3hOKANKSIiAgcPBCOfcEbsWjCYHT+uDaefa6umt45nnAXpnfuuuCadFQOM3JiI7BmSm/UeeFh/Po3f8DfnnoTzbsPx6xVO3D0fALM0ql95yAXMTVsCre7H/JmdGqr9Ok5328aNwoFa1fCfuyIuwO4hzpGfGdtyemTsK5chpxBcjfSsgky2rVC7qjPYF2xFLa9e+CIiVZyyrwLYPpKM9KVueRvqotyXt955ZJ0bKdgP37UrZ8vdzLU2ed5VYfAt2OJFW7bjNL0VE/sGoQm/cBGQJL+uL5N8OwDf8WbdVugzxczMWv+IixdthTLli/H0qVLsGD2FIzs0wGN330D/3yqNlr1u1tz+i3Qu0c3nImJ4tyM59dvDpe9ANdPh2PlpAFoXvsV/OPPf8Qf//oQnnv7Y3QfORPr9xxFXJpJ7Tr+bl0aklou3UxPQdnB/SieOQl53drC3PJj5HVtC9vYkXBuWInyIweAa5eB7ExU8EXiDsfdk22WOw8UFQI5cu4rF+DaswNF08bD0r4lzE0+QMGAnnBu34KK1BRUlpSoN2ehVHzkjpFLhVUebjIe9zzKph5RmfhIx8UdvFzVo/JcIncyjiL5pBJpoE7IfTs4dugg6mjtnYBF4E3vqJF+I7z02CP4uOMQzN50EIeOn8DZs2dw7tx5nJHRV/ShPVg/exT6NP8ALzxfT0b6s2SkfxemdzwPck8J6VfyQr+LcNrykHIpCvs3LsDw7s3x9vNP4KEHHsBjz72JD1v3weQlQThxJRW2krtEhvcSJM88Myoun4drfwiKly2AVQjf0r8nzD06wtyrE/KGDUTBvBko2rENjpPRSv5ASTuQgO8AnGaqMJtQeu0KHOH7ULB4HizDB8LUo4OKM3/kYBQvX4iyIxFAVoY7jRr3BEeMB7n6zVkBiYAkfTWn/9RTaD90NnaczkBOgV24wSWDujK4XCWw5STgxI7FGN+9Gd545S7M6ZtyERQcjOade6JBj2GYvPM4tlyzYkeSHcG0RPeLqvlJ25tiV1vUuWaeG24Ibl45a3apF0pfynOptfPcBVlZQXOHQbkTdnMKzh3eiYWThqFr89p4+V9P4OF/voD3m/fGzHX7cSk9H8UycEwvKlcvUN96vUhprTBevuz6ULpDrc/m+u0KGZVy7Xa2OHDDFqUbGM4I72vUcomS9HG9vrGT2L25y6Veqs7NQN75NCxIjL8fzXS/LNvYAMe9CUnynXnelexA8HUbtl8yYUvEZaxbHoKVI2ZhSbuBWP5RO2yp3xLH2nRA8uBPkTdlPPIXzoFtzQrYZRTuDNsL1/EjcEmH7roko3Uun7weh1IunZTOgX+7rl5ByflzcEQfR/GBMBQGb0XeymXInDENV4YMxeE2HbG1QQusaNIJy/qMwdrF27E58iq2XslTm+UyiimQ5x7DM89cQ388uwQhUpfMH+uZ9e1t2+T4Tsk367VA8krwHKlSN8ey+SJ6ybOEC050l7uvsb4OS9yJhe4X0TNu1hs303Hj1FYpb39+rD9uoouS9HHTn6praUssd8pmsLyZZpXuW9jeFIdqE2yHBFPPF6NHSbr3SNxGOKO+1WeS4cuXqjvdL/53u0uZVag1/NRp8vb3NpbZzpQSfLHpAJ6t1wxNpU5Cww96SN9zIo1vHQH8IPdpdBoxH3summD1iEa5IY0/Pw3n9qzApJ5350EutXe279qNpgNG49Ge0/DCvGN4e1sa3t+Vg/d2Ziv5g3c99nZwFprsz1E7KkmgxuYXEue0swXod9SCRVdsuCbEXFpeDmdREWzS6IttxerCQ0Up7IVmJF09i4jgZRg3oA3qvv0Knnu9Hjp+NgfbYq4LkVbggJBFl0gzKPvALfuMt25INnrJsa3xbhkGir1RToHpmHQmH80kXUYamWbD+J3HP9qTjZHReUqIixuGiGx7ORZcKsQHcu7XgjJVOG9ffn9D4v9gdzY+PWZBqHQsbgEw6vaUYZcQxYBjeagXkitlJfEzrs3JeHvFJbwxKwqvjd6L9wZtQNteczG3z1icGzwceUP7I6dvd6R1bo/ETu2Q3Ksb0oYNRtaEccidPQPmxfORt2IJ8levQP6q5chbvgR5C+fBPGMqTKNHIndgb6R26YDz7dojvHVHrG7dC2PaDkO7bjNRa+gmvDE5Am8tu4g3N6UoGY1eR/JwONOpyJOdJLVsSKpDoixKuoLl65vv93ZmqfKoI/VPETNujGP9Me+UM2BZUGaBftRE8vZV5S3GMh0k4UiiJF8OELjhjjteP5TfKH3g7Ufj+d4SX+oojZC6oi/LuVTaGXdhk3QHShtjndB8/ZkWxt10Xy6mnClQ7ZBgM42UNjU8Oh+N5NyMxzAjXsOa7MvB6JP5qpPnS/cJCghukU6q/xELPt4t14UnrHfc78n1UmtPHp6cEorf1++O5j0+dWvvyJ20Jv3AQUCTfmch/b0yciwoqR6uND/dTfq9Wt410g8O2Yumgyfibz1n4e/Tj+KRNUl4fFMmHtuYgcc2pONRjz28Lk2JZVG46phcFIacAUdVw+VY6/BcpZJ4yVIKp9OFvLQUxEVFITk2Dg6vbFSUuVBoSsKR4KUY2a0Z3nv7XTToPBIzd57FmexS7JaRWqP9ufjTqhQ8uDYVD6+nwFYG2oabsDGuSJE+o+YOzQgh8WFCYG9tz/KkMV2l2TD68vPVoAwMFBKiAFiR52JOlxEvt9Hz3H9bk6r8vX35/QGJ/9ktGegcYVJ3C9wtTG/uDN0UX4S2B0x4ZnMmHt/AssrA4yyz9Wl4dG0KHl2ZgKcWXUbtedEYuzQUFzYHw7VlrYz05+Ly518gstdARHTtg+M9+uJs3wG4+ukgJA4ZjNRhQ5D+2VCxIUgbPgQZYlnDByN3mNwpDB+IhCFDsHfg55g9YDI+HboYrcZux7szj+JfSy7j8dVJeFTy/OD6DPxlbTpahplUGXEHNYXL2NHxrqaL5IdidixfhvfON43l8ZTk5fOYfMR71tiyvEOko+t0UPIsv9HvET/l/agce0U6bIqjsYOhuiZHzdwtywEDy/svq1Or+dFY3g+JL/VsSLAsbxIuNw2z42CH007aGOuE5uuv0iLxvy1tYaSk29DeYb73Szq6HzIrbR6GYVxGfau/Pcfeks6E7fu4V/vOkPZGFddPwnLx4lbx9/I1jNfLE1tN+MOYvfj1B13RssdAL9J3n0fj20fAPcjl5qwx3Jz19DNC+l+2OWuFe3PWq998cxa1d7bvDEGz3sPwYs/xaLTiGLqEZ6KnjBB7HLagu4yuDet6yKQuiE3Xi3BdRlHcIk/w1pe6JtTHCU5yIMUmo3yHHennT+DImkU4vGcvkvKdSlfHGznxp7Bh+hB80vBDfNR+CCZsPoGTmS6cNLkwUe4c2h3IVWTbNcKsCJujcgq9Ke0didouo9cLZhfWSNwU6HKn8UZ6aV3El59M9zrpMK7mu5RML2ESAtwidw4U4uooRObtZxjj73/UrEaoZ0w3lBc5pUU56ZnnC4TcpJwYryduVW5Sft2P5KPn4TwMPZKLNWezkZoqnXNWOpxx13DtyAlEBIUhbGUQDi9ehzMLluPqvEVImjMP6XNmI1NG/ZmzZyJD2k72ooWwcLPU5g0o2RuCzPAIhO09joU7T2Ps7isYFpaCgYey0Vvy0eOoxCvxM9/tJU/TzlpVng05A6uUHe+O5kl++km+mD8j3d7WUTqz3nIeCo0ZGjacGuLUHpVUWWb06+avvOWYKm/x5XRficTNYssoLlf6SX2PmNHhFuVN/8FS1yuu2nBeytsmdcy6Zkd93uyU8rais/iqdPv4Mi095JNxr5d42DETnB46K+eiZDPvcHz9DF9+jpS7AU4rJsvdjSGtTA3+cOk4p0n7Zjv09e0RaZHrJR99oovwwZw9eKBWM7Ro38WtvXMXSJ/+XFFH6fW0tHQkJCR4LPGWlpiYqORekpOTlfFvf+GqWwKSJGxGZiYKCwv9cNR3HwFE+mwUBTLSj8AX3T/CK08+hfbD5iLkfC6sPjIMzvxUnA1ZigkyQn7jpXpo3msGjsZneX6/fZhNbu2dFu27ommPQVi0NwoHkgtwNNulbqcPZziqjKJTJ3KdSLZxXt094iU4Aoy3uuQCd8otfIVcqIDTbkNSdCj2TB+MFXNmYvepRKTJSM+7+ZuSLyFo4Vh0b9MS7fqOwcI953AtrxymErnALS41FcN5/Egxkj3n86mfIzygQO0dki+1eWJy3GllGr3TTH9+nlHppnYPyc/tz9EvtVR418LRsLefYfSnpO9lyRsF2gxfl/TF1HfhHDXLidMHyieTJn/zmJBrZJYTxyTtV/OlzOgkJ6BSZ65N8pNVgNjEbCTEJiP9Uhxyz19G3tnzKDhzBrbTp2A7cxqFZ8+i6NJFOOJilYRCpcWMogIb4k3FiMmy44iKU+KTuJQZcctxlh+JkvVjgB0ep3guSbqZL6N8fI3lwSkOatobdc1yz7FXSFm4VMfBcLcqb9798RkIy5ux05/Tcawryhwzbd5+hvF8rGvGS7L19LFqeoij/QuSbsZxq3SzLk7klihNHE5pEawznoudn9FOfI3xsiyZ7jRpwGwbBjiNmS4d1nmJm88afH0ZJ6+XmLxKzNiyHy+9WxdNm7dAWNjd0d4pK5P2kpuLmJgYrF27FjNnzlI2e/acu2ez5mDWrNlYuGgRtmzdigsXLqCkJPAlRm4X3xrpV5NWlsuhssKF0pIsxF/YgcHtauHphx5F414TseFoAjLzixW5EWVlTiW4dmTTLAz/5EM8/9Sb+KjjGOw7ex2snhuX9tfHjXX6rdG1Ry8cOhal9Pv5KIEjO46mDSuWe3ReAJxP927GTB7ni0kovFaYjlKHkH7UbgSN7YwRfXtg1KJghJ6MQ2Z2LkzS0Zhzs3E+KhyLJw1H7+49MWL6cslHMixO96iQt9Z8WEqioKl45cSeolDgnxyNyc/qIjXSWC3Nnk+O0HleL3d1Lh5nPo1wvqaOyzmZHvp7g/48bmc6Gb9v3PKdx2mcpfOuH971cMFjEcu5tBwlzlK4HE4pNwfK7HaU24vF+OlAuVx8FVxuyXkOAf/lG20LJf5C8ZcbKzUSVmnwjl+M6fNONv/mqF+lm+ljWJ90G74sF4YzypxNVoKqMlPlrfLnz6/6W68MGA9kq+L1Z/Ibz81wN/sb7eIW/kyL+LKtsC0yPgP05THO09/kJ2bkw53u6hEb+eZvRjurZnKM1wt3ZOwRon/v/bsrw1BaWqpG7ps2bUK/fv3RsGFjNGrUGE2bNrulNZL4GzT4CHXq1EWtWrXV382aNVfmL3yTJrSmaNu2HUaMGIm9e/fB9j18dWZgkH5FKZyFuci6HoX9W6ej7Ycv4oG//AOvN+6F8atDEXM1FdZi7sotR1F+Nq6dPIA1UwejXd3X8PhDT+Gdht2xYFsYrpsKUCwjutttXjdIvyV69uiOE9FRKLsLG4rKncVIORmG4El9MKRrG3QfOgFTF67G5m1BCArahm2bNmDhnBkYPfJzjJ48F5tDo5GYW6iEzjQ0vquIjOCSzbu7OausrAwZGRkIDw/HjBkzMXjwEAwZMhTDhg2/yYYP/wxDhw1D7969hfib4OWXX8FLL72MVjKoGzFiBEaOHOnXb+jQYfI5DKNHyx33wkU4fjwKdhl0fN8QEKRfWVaCopxEXDm2E2vmfYGOzT/EG2+8iw9a9sRns9Zi77GLyLIUCRGXID/zOmLCtmLOmEHo1LwBar1XC03b9sSkxRtw7FIizEWlt71V5gbptxLS74EYIf3Su0D6FaUlyLp6BodWz8WyqaMwbfoUjJs4CWPHjZOG9QVGDh+OEZ+PxbQFa7H94CnEpZtlFHW7qdfQCCwcqgHSpz/n9PlaVM7Px8bG4tq1azdZXFwc4uPjceXKFezfvx9fjB6NBh99pNKyUHjn6tWr6o6B4W7lz3l9PjfgK1vLv28vDBIExJw+NfKdNguyk67gbPQh7N0VjC1btyMoJBQRUWdxLTlLvaC6oqwU9gIzUuMvIebIQewN2YHtQUEI2RuKoyfPIzHDhGJn+W1P8XiT/t3V3ilHcb4ZmXFXEH/hFC6cO4ljRw+r0Upo6H7s3bMX4RFHcFo6q3RzUdXyOA2N7zICQYbB5XIhWgZvQ4YOxSuvvoradepixYqVKCr6/k3X3C4C6EHut4dqI/2ePe6atLKGxv2Iw4ci7vpI/3bBqaAVy1egVu06+OWvfoV/PPAg+vbth5iYE2qq6H6GJn2B95w+R/rRMtJ33RXBNQ2N+w8RHOm/70X691hum3fpJHfO+z/yyGP4t3//D/zil7/CG2++hTlz58Ek1/v9DE36ApJ+kJB+65bN0bZTF2wKPYxz2UWItZYhNr8MV/JKq+yyWGJBGQpcN5bSEfyb66nzStyvI/ym4CIVvvKOa/AZp4pXvnN9vr9i48ohvl6PaeTGMN808z2tlF/g0kWu4jDAVVFcypdgre7jbTwflw/y/FwV4guTo0L97s/XsFj5PaPILUfgDaaFG3+4nPOKT7oNS5N0G6u3DKhllw73UlX6MY++fjzGndJpNi5xre7P1VcmyTf9L0kYX1/lL8dZbsw3V614g9+5yYvp9vU3yp9r8n3zy3RwmSvL45bx5rlfW2lSS3Or+/MrX8tJ31v5M01sK1zayxVA3uB3rt3350ejL5eZ+ubXANtPipyb4bzLnN95vcTZKrF8+z68/uY7aKoE10LvKekzntS0NCXO+OGH9fE/v/4N/u+//Tt+9OOf4H9/93t06NhRLcW8n6FJX2A2m7B9ezBad+yCd9r3R6dVERhyJAcjThRiREwBPovOV9vXaUOj8jH9bAFCUx3qojauSb5T9FCGHevjbAhKKFZrmXlh8+I1jATDdfa86HjxkMjoT2LgBUpSZjjuotyf4sDUM1YMOpan4qRNPlOAnYl2xMt52bHwOuJyTUtJGU7llqgXqX8m4QYfz1dpNoy+/Jx1rlClm5oqxjVtdZYjPM2hduUOOZ6n8ujty+8835iTVrXRiO91NTakkUB4ri3XizFafjfCe/sPk7hp3NbPTUnGJieegZukqH8z/xLLWXwlnOHPT2VybNa5ArUWnPsRjHTzHcUhycWYJGXEMEYevW2IHKNkwbLLNtWB0pdlxnSznKl9w5fGD2a+/fgPlrLnblxq4XBXLKPmOUj2kZklWHBR0s14xN/bb4iUF/PMDVzul+SXq7qmP+uZ0gqjT1jx6dHqfjTmeWhUnsoX2xHTyQ6OvlwyyY6T9cC00Xz9GS/LktIR1PehLhOh4pYy43p6vjTdiKtaebMMxHf2hQKl76MGGHQUsBPg+3F3S5lzMx7jYFyG/2cxVnW9jDrrQIt5IXj0rfpo0aoNwsLv7TtyudrmYEQEevbqhUcfexw//sl/4t9/8EP8h9gPf/RjvP7661izZg1ycnK+lw9pvw406QvyKMOwaw+aDRqHv3efjr9PO4wHVyXh4fWZYhlKeuEhjz2wJg2vbctUZMwL2ulZN37O7JTGn4faO7PUFvgGu3PQMjQXrcNuWPP9OUofh0RySEiMI+wSuZK5iWa9XMjUaWkbnoum+3KU5svTG9NVfIZx2/8nck7uvmUHwVEg7y6OZDrwxYk8vLMjEw+tTcPfV6epNBtGX6b95a2Z6CdEs0+In3cqvAx5nomn8/GvTen4y6pUFc7bl9//Jud7knGHmZSwlk3dbciIylaKzZRhCDep343w3v5G2p+W8/c5YlEjb4IjbZIS5QyoL6R8Je3evjwXj724JQOdDrjjNjYbJcjd1siYPLy0jTIK7nLy9qX9XY79YWWq0pIJlY6NZaXuiIQ4ueOUO5D/tSlD8if59ombxvJ4fH26ImF2xCRAbrSirEK3Q2YlpUA/37j5/UE5/vyWTHQ/ZMGuJLuqa8bNjn+sdJBPS7x/lLR5+9GYZ/ozz4yDxK+0d8SXLzZnB91Gyvuvkmam29ef8fKTuj6DjlvUnSLBzioszY6ekWYl8cAwqnw9fupviZefrwexfVvUZi1jcQFlP9bHscxy8bL4PyLhHqyWb8pPyPHNufjdmL341Yc90aLXEIRF3FvtnfT0dCxavFjtE/jV//wa//4fP1Bk/4Mf/kj9/de//Q2dOnfBgQMH4HA4PF73FzTpC/JysrA9ZC8aD52GRwYswIsLo92Cazv9C6413puNz2V0wx2RJG3itMmtvUMhrfclXJ1d2Upwy9vYIfA3bt/niJsjL26w4Y5WShy0F2Kjf23xpf/7Ev49j4AWhbRqS1pIkmuucou8W+0yX0bqVNccLBf4hyE3wnoLYSkRLvlssDtbERjDc5TtJv1SzDhnlbgyhSgyqvnR6PemdGIUF+sr6abCYoHEydH+dasLq6QDIjkxbUYZefuzvGj1xH+UdHa8+yGc4r/yqk3K8oZ4l6+vOia+LDuS/gYhHVupm4QSpaOkhg2F4ChQxji8fWnUIiL59ZD0UUKgUHwpXMaOjvpFJEDmi/6Mx9f/tW1SX5KvSXKHRbLmYJXkzTub9gdyVeevxNV8/Iw6qCW+PSMtSueHd4KsL56HQmj8/QUhdm8/5SvGc34k+eLAgh0d7wzpS8mMfdLh9D5sxhtBUi9ivv6qrsUaShsdI3dXhvYO+0resbCjY10YcRlpN8qan4325Ki7l/3SRo2pylQZ5S+WO7IOku8PJW1G+BtxS3vdlYtae/Pw5LRw/K5hXzTtPUxI//A9I33O5Z88eRKffTYCzz73nCL9//yvn+KnP/s5/uunP8PP/vsX+N3v/4BXX3sd8xcsgFnuQO5HaNIXUHtn245daNxzKD4YOAFT9pzCtjirks6lpDAlcg3bkVSMvUKalJ7lxWjMNXNeOkxGYSSEoIQit9Ssj22Xiz9IfucdAkmbOxt528yRHKeDeH4SBMMxfPV43Z+M47KltOqZAuUBOAe8S267Oeo2wvnzpXgXtXKoqcJ4mXJO73DLP303S9o4KvX1Z144KufUQIqkm76Mm0RGLR6SA+WFbxW3+k0sKsst40BwyoJSCdSX4bSPP1/DGDfzzfl1z0BfPTvhSJTl7ZYovtmPZciRMuUhFHGKL9PNDo93HJxCY7y3intbgl2I0o6TuS4lmEZQZZMaNrxTWBPLerb7LTN1XvktPN09zced1RwfsKNnvleLL3WQ6OvrT1/eTVACgvpOxlQgP+Oko6U8hFvOubqf4ct80/9kTgnypH4J+lOOguXBNubr522UZWZd89mV8UzB4pkaoj/LxLfMVD5SSrA3sxxfbDqIf33QAo3bdkZoOLV37s30ToG1AJGRhzF27Dg0bNQIL7/yKh5+5FFF9L/939/hyaeexjvvvie/NVZSC5lZdy7d8l2GJn0B9fS3Bm1Hs/Zd0aHfYIQfPwlzUYkaVdrkdp4Xm7dxmoDb/RVxetqympeXC4NEmC+ERFLmnKi3kWyonVIo/vTl9cTZIW5jJ4nRl6TIMPT3jVedU4yjL5IXo5avavTJufUcu/tZAYnJ19cw3llw1GikmyNfEn+ujCJ5nlv58rjylUQz3aw55qHAxfy68+bPj2bkvUjKUk6hwPRTG55z1tTB8ZdfX2Mn6Um2ygOJiL4suy/zJ+GSvOjL6Cn/w7plur/Mj0TPumDHyvQSKl6Jj+XN+XL6sz3481f1Lp9V9SXG6UC2E74vgfXNcvVX5kZ5Gx0sy5xlz2O+YX3NyBPblSGYRn+WEzX1zY6bffwZp3bc3u72zbJW/n7KW10rYnyEsDP0IN6pXQ+NmzZHaOi9m9O3Fdpw6dIlhISEYPGSJfh81ChF8CR+ck/79h0wf/4CLFm6TL1+lSP9e/WsIZCgSV/AB7lb1ZLNT9CjV2+ciIm5d+v0pc19k3ZHV3YcxsPVe4VvHJucgCNf407pXuGbxkZ/g4TvDO4O907c7zhKD5jmO21rdPu6/m4ZBq83Z90jcuWGLO6izc7OVjv+SexDhw3Hc8+/oGzmjJlISUlVu21zc3KUmFqgcNC9hCZ9QU3JMGho3I+gDEMtkv493pzFOGjkFQq0UXJhypSpeP31N/Daa68rdU7vMPciTYEITfqCmpJh0NC4HxEIMgzE9evXlTjbm2++hTeEdzZu3Oj55f6GJn2BL+nrHbkaGncOtSP3WyZ9rsGnKNvUqdMU4XO0v27dOs+v9zc06Qv8kr6e3tHQuCNo0g9saNIXVJF+yxtz+uWa9DU07gg1oad/u9Ckf2to0hcYpN9KRvoduvbAroNHkZRXjOySCmTZK9Qa/CorKlPLG7kz1FgOR3BlA5fIcckllyJW8/EYl/nRGEaCVgOXAnJ5IHc+Mkw1X48fpQC4PM7zxsEqMG4uqeNSQiMeb3/jO5cIMt1lPr5cakdpAW8fb6M/08X0cdmgL5gmSg3482XaacrfT765jJzl4dfXY1zi6Kthw5U/XDaYzTCeOG7ylWNcn6/kG3zipT/TTf+byttjxnEuN/XswVNg2XP5KJe4eofz9ePSRodqJx5HAf9mvNybwbR5+1WZHM/hclCJl0tqvcHiZz0wjlulm0Z9H8bjnW6uweESUC7Z9NtGPeejL/PnC6604lJS/u4dnpYp7YfXS56rEpt3h+Ht995H0yZ3781ZtwtN+reGJn0B35FLXf7W7Trggw59MHLzISw8Z8by2GIsv1qEZVdsyqhts+SyDVuuF+GsyaUuPqMxcy03N/xwMxd3mjIszfClLbpUqIybmbjm2eBPXkzcGcst9ny5OsN4+zLOxWIb4mxKE4UXuzf5ci8BBc+4+cqIx/Cl0Zef3JTDncMWSbcBrmHnBitusV98uXq8NH7n+ZiuA2kl6gK/sXqbHUaFShN35vrLM9NOoz83FRmbswiuX7+a51KbiYy4DH/jbxo3BDGcw4vBCiTP3FTGnbVLPXF4x0tjvudfLFRaNyT+G6hUHeBxSfe6azeXt2ELL9nU5jFuaGNdGyAZU4xtV5I73YsknLcf4+X5uKntgpStty/bCV+svkrOS+0ebz8a/ZgX7j7me4tzWN5ehMkO6KC0E6bZt54N/2Vy7q3Xi3Eip3q6WdexeaVq05gR1si3+ttThixvisZ5Ez9lMzjo4CZCbohTPt5lLtfJimvFWJPgwoAVe/DM23XQ/C6+I/d2oUn/1tCkL7DkUHtnN1oMGIVHuk3CEzMP45kNKXhuSxae25wplqF0Vv4l9symDNTdlYVxp6xyUTll1O3OA0lp0mmr2qL+/BYJ5/Ghr2FPbkjHE2JdIsxKe4ejJo7wuTt3jZBPuwMmpWvy5MZ0FZfhxzip1fLm9ky1BZ8XJZUfuTafxMl0TDtjRcM9OSrOpzZWj5e+PE7JgS9O5CuS5uYyXoccrc06Z8WbQZkqbb5pZjqYbkoOULZgf6pd4qxQHRbvDijL0EuOvxJ0o4y8/Zl2GvVchlDDxiPDwLskvhj806MW1NqZVeVrxG98p1HigbpGFF3jSJVgmU04lY/3d2Qr/RzG4R0vjeXwyPo0dJBy5YvI2Wmwg1WiZ5Lu/hI3y/SfPuVt2OMbMvDSlkwlNkehPJYXiTNCSHfo8TwlQ8B0sny9/ZgWno8yDCMk3RGS7iI16q5U6pdTzxao8nh0vf/yflrSzXNTCiFMypt3OsYomx0BZSX+KXVC8/Y1/J+T9se6pgwD1S8JvvOWO3yHSx1Q4sO3vPk3y5HfKXsxQdo3X6RvDC44uqeMA6U4KE2hfLzy/ayU03Nbpe0HW/D3cXvw27od0KJbX4QdPCSkf++0dwxo0r81NOkL8rKzELx7PxqPmIU/9V+KP86Ixp9XJuNva9Lxt9Xp+OvqNGV/EfvzqlR1YfQgAcoI0hh9ctTZ45BJEcifVzGc28fb/rAiFb8TIznzAuLFzB2Wp3NdqhOh5so/1qThTytTVVyG318856Oo1Ud7srFARngJQh689ecIliPlbhFu8bC/+onb+E4y6iLhgmWEyt2ZJDFq2IwUYqJw2G+WpVTzozFupvsRiZtCcJvlLoc7eLnDlaNBKmBSL4iiWyq8j79RFo8JwXUTsjrvEQBjZ7dQ8kHSfVB8/7K6ep5p/M74SW4fS5nxboJ3FgRJ+NNjFkXsRhzevjQKmv16eQrqS0e8U/LMdDuls+Mu4KVyV0MhNhIvRdkYj6//b5enKlGxT4/l4ZKMkMl/vEPgKL1eSJaqJ3/x8ly0R6XMWuzPUcqruTJKZod1SQYHVKdkXf5ayptidtV8xf600i1w1y7cpIT42MEx3ZyKYoffaG8Ofi91wnrx9lX+Kj2pqq77HLaoO1KC9cW7GuozsS6MuKr8qnzTVKfRVQYm7NAN7R12VrPOF6iyfELSdiMutzEff1ubgb9vyMavxoTivxsORPP+IxB26N5p73jjq0if3FMuA7YbL4DnIEi+y3Ea70zc3+WOXH33BJNwxjH63jhuoFIGY+VwlZahzDNAcUP8JE3uOD2HviVo0hdYcrMRtDMETfp+hjf7T0bvLScw4aQF087bZFRWiCkyMjOM8sbzLhaoW3dqqhhzrpSdpX7NtLNWJVNMkS5vP9rE0wWYILZWLmTq5XDUyK3uSXJB7UtxqNt9nn+ShKnmy2Ni04VgOU0Sle1Uo1Vejxz9cXqGFzQlnxl2srevmJGWuRcKFGlwGoqdDcFOg9MflPIdKyNDbz9l4st0z5C4N8QXK9VGjvQ5Uue8NHWElsvt/TQJ6xsvjXHTZoo/tWJ4h0Iw+gMy0lflJXH781VGXyEbTrPEyB2NofrIkSd1kFgmtypvHqN0MnVuWN6crmAfTV9O7ayS4/RXvn78x0u+WaYkP07HMWZO7fCugQJ5HEnTlyP3ar5yjPXIc1MG+ZSMmNX8upyAzzaoU8ORNOWmb/IVmyzxzpE8sz1xtE25iVIpNk7tnJPyXyPnZJ34yzPj5eccqWvGw7l7gs2UA5NFl5heq4Sh+fh7fNm+ORXI9xTw+RHBMqP+0aLL0s4kbd7habxOpp0vwuyrDnRaEY5H67dDk049ZaQfEZDTO0UFVuTkmpRRjoHP9UwmM8x5+Si0FcPpcqHUaUdxgfxmykUuf7PkSTj5OydHwhXAZnfBJZXqzpn8WykDg9JCOU8WYhMykGUqVr+gQurfnImkhHhci0tASkYurEUl1Z713Eto0hdYKMMQFIRmbTuiQ++BCD0agxxbCWRAiHxXJfLkYuPcqGF8gMgHohytGvXG22Bq7pCMSaT0ucn4oEuMRK20YMSZFe+Qf0gmfMBm9oRhPIaf8Tc/SR4kPvoxbvdtv1uBkQ+YjTRWxekxHmO6VUcjzsYIhyTI+XFe1Ey7Pz8jPZyPZp7dIxy3ng2nifgb5+qrwvsxw5/ER3C0w3Li9BLjNsL4+hjGtDPdBnew0+Bx5pl3TKps5ftNJsdZZqwf+tKdZcZOzzs+77+rzJNvlhnL2x0v68qt+aN0f+R3X19+N4xxs7Mx6ouDBD7QzpR88yUwfn3ldxI82wnzzBlElhfLjudiWdwqv0a89PdON/PONmt2uB9sU53VO27Dj+Zu3+669rgr8mcdM89so0bYKn9pQ7xeisVhx/6DeNujvROoc/qWrGScO3Uce3fvxOZNm7Ft+y7siziGs1cThaytKHG64CwuQG5qHM7HRGJfSBA2bdyEzUE7EXb4BC7EpSMn344SKVN3zqSsXDbYc2Nx5Xw09h65iCtJJjgKcnDt9GFsX7cM82fPwJSpMzBn8WoE7T+GiwlZKCwprSrjewVN+gL28tTeadH6E3Tv2Uu9UPmOZBjusPbodqfXBN1ICCSGOzmHEfcduH5j8OEgn0vcSdz0Yb7vdQuqileMf98uWNZs9neqlXRnXm64pyzuPF62MdpX4buwTr8gNwnHw7di4mf98UmzVujYfQgmLNiAAydjkWkpQplktNRhQ3biJRzZtQJThnVHi8aN8UmPoZi9cR+OXk5FjrVEdYwKleVwFmQh83wYjobtwPaICzgXm4jrZ8KwYtZY9O7SAW0/aYnGjT5G/YbN0K7XcMxYtQsnrmWgyLidukfQpC/w3pyl1+lraHwzVAmuCUkGKumXOiy4eDwYo7o2xetPP493GnTBiNmbcUzIPL/Y5e6cy1ywZiXiXOgqjOvRCE899k+8+lFnzN55BGcz8lFQcuMNdJXlpSrs2X2bsHvLBuyJvoKoUycQvnkepo0fiaGffY7PPx+BQX06ommD2njn/Q/QtOtwLNwWiYTcItxL2tekL/Amfa29o6HxzRAI2jtfRfpyn4mMuKOY2bcl3nvmOdRqOgCTV4fjcrr1xuhd7m+cNgsyzoRg3tB2ePzhp/F6sz7YIHcDaUL4pV5ZKi91IDPxCvZsXIdN6zcj+sp1HDt+CFuXzcKmzZsQdvQETpyMwbGwrZg/fgBaf1wH79RpjH7jliLycibs95AKNekLNOlraNw9fDdIH7CkncGiIe1R/5VX8VH7EZiz9biMuu3VpgzLS2zIvxaBFWN74el/vox32wzGrivJMMtv3jkqdVhx/cpZbFi7Ces270ZsSgrOnz+F/TuDcenyVbkrcCpOcRRk4XTYeozv1xb169RFh/4TEHz8Osz3kG406Qt8p3eovaOllTU07gwRSlo58Ek/P+M8lg7vhIZvvIEmXUdjfvAJJPuwb6XLDlvCEaydNADPPv0GarUfjr2xqcjjb+4g8kcZHNZ0XD57FGs27sCmPceQkZsLU24m4q7Go6CwyBPQjey4KKyZMhjtGtVH576jsCUyFjn38HW9mvQF/ub0NelraNwZviuCa5b0c1gyrCM+fv11NO48CvOCYpBoclQbwVc4i1AQH4nVE/vhX0+9jvfbDcPuqyng23WNcJWlRchPu4jTR3Zj445Q7I6Oh6WwGJXl0hnYnSgrqz5jn5N0FpvnjUGvtq0wYPhk7D6ZiLx79M4mQpO+oIr0W3+Czj164cDRKJiKHCiSurKVubVSvI0bhLiUjkvojLbMhVs8xmVxvuEN41I4mp1LF7lqhf70lT+4lI/HjXC+voYxjLFskuAHz/VVcdO4DM+d7hsrZngeHuPvt4rXOM4lgEa6DXC9PjfwfFmaDTNeG2iAK1i4BJG7Vf2FN4y/qzX21dINtXSVyxr9+dCYJpqR7irIn/z+VeVt+LuXXLr9+aHKm+n2+N/K2E7oq5bnKm93eXGJLn+/Vbw05ovlZSztJfjhXd5f5s+24F7aa8RMX7fW0Ve3E7evqmuPL0/Ddscy8+vP43JuDpV27T+Ad2vVQZMmzRAawDIMeennsWR4R3z06qto0GYIpqwKxZn4DPda/YIC9RYuc3Yakk/uwryR3fDUP1+Vkf4w7Il1k74bUk5FJqReiMThkI0IDj2KqOtWFDlvxW0VyIg7iQ1zx2NA954YO30FouNz4LiHVKhJX8DXJQYFbUeL9p3xcbcBmLHrKHbEW7E/3Yl9aSXqJdPcwMRP6ttwW/0V6Zq5PlmuCwWu+6b+DaUCVFgJx/DeFpJcrF5gHpPtVGvTjYuqpLwCadK7UE6BMgcMV81XzrVbPkPlN4ahUBeJmmARcn+AijvTocIzrLc/vzNNlD3gxixTyQ0RMJLStXwXwtLsKm3efoYxPYybmjGUXjCW7bHD4Hpv7vrkS8b95ZnlRaP/Wbl1LvS6GLgv4IIcoyaPUb6GVX0XXyPdXB9+o7wrVR3wN6N8vP1pIWI7Je3Rkm6uTfe4qnOY5Ps5SfeX5ZvH98kn4yYJG748F7V3DqWXqHQyf95+xnduPuPLyLm2XYpZgaQZK+XN8mDafPNt+B9Ic0h5uVR5Gw8WGTf3c1A/iWnzm27x5TnZRi9JGknIBujLdhLpaSfe5p0Ow5e7to3y5qpC7qngZjGWuW+696Y61PVyMLcM4zeG4YX3G6BpyzYIDT8QuKSfcQFLP+uMBi88g7dqNUOnT8dj7rJ12LR1K4K3b1cDwc0b1mDVnNHo3qI+/v6P51Cn43Dsveae3lGolE4yJwXnD4Vg18Y1CDt2BkmF3LHu+d0XZYWIP3MAS2ZMwuDhE7B4UziSzEX3dOmxJn2BJTcH23eGoFmfYXi6+zi8u+gIGoako2moCU335yr5AW7Zp3ELfLdDJiy+VKjIgCMxgrtqKVpFXRSGbyzh+OltDfdk42OxUTH5ikDZUZD4KWK2M8mO4dF5aBWaq8IxLsOP56K1Cc/F6BP5QhgOtSGJUZO0zwmxUKSL0hBGGr3jpS+Pd44wYe6FQpzKde9OJbi5ibt8eW6mzTteGr8zPa3DcjH2lFWJj3EUSG/KGnBn6/iTVrTab0KTvbk3+Xunnbt6KftAMO1HsxwYfyofHQ+Kr4T19jW+07dzhFnJPZwUwuHOVIIEtETKm3ky4vCOl8ZyoGzAiJg86ZioI+MesZIIj0nck89Y0fYW+aZ9JL4tpP4pF5EinTLzzFF6dE6J2tXaPtydbt+4VXrkk/linqOlkyfZM8/cIbtSypvlybT5xsvvTDd9uaP3eHaJ6tSZbqq4npd8jJMyY5pp3r40xs1zdJV2yHQnFt7Q3mEZcKcuf2MYw4x4mWb+zfZNMTcSv9G+uRmMsiPctU0tI29fZbxOQs1ofrAQr03fh7/UboPmakfuoYCd3snLuCik3wX1n3sSr71RD0069seIcVMxU7hq3rx5mDN3LmZNn4LJI/qg5Qfv4k9/eQZ1O37mQ/plyE2ORcSuIGxYuxHHz12B7ZZZLYcjNx7R+zZgzsyZmLxoC/afSlAbtO4lNOkL8nKyELxnPxqPnIXf9FmKn0w4jh/PT8BPFifjJ4toSfgxbWESfiT29zVp6CQXJcnX0N6h+iAvBmrIGOHo520/nJ+IH85LxHs7srA90a7uFHirfkZGnBRCo+bJz5ck44cLElV8hh/P9SM59pvlKaizMwsLLxYqPRZ2GBx1bk8oRluJ+69rPHEvqB4vv/N81GQhyVFlkVMDvA6vW0sx4KgFv1wq8c5NrOZH4/mY7v9Zlox6IdlK1ZK+HO1ThoJyAdQM+sWSFPxkYbIK7+2v0i5GDZxWQnSUjCA4el14uRAvbc2Qc6coP+88q/L2+P9pVaoiM6qbkviIqzJa7h5pwh9XpXjKp3q8NJbZD+Yk4I3tmUqSgNMSJDF20Esk7rqSn19Lvpg/33TTWFesj25CkuzgWV68O6EkxDtShz+V9qHS7eNr5PmPku7mQoab491aR5zCoxxEvyNmVZ4/mJtQLc80d54TJc8p4puj1DbTbKUq3bxj2CplwPaj2pKYty+N8TI9f5O6pn6OUd5sK9TxqbMrC9TtMcrXiN8dr/vvB9bS16TuVAyBO5YZJTPeCs7E71ZIfdHHE77KFsvxpZn4j2F78dMPe6OlDKLCA1R7h3BP73TCR6+8iHpNeuKzmeuw9/BJXLh0WXyv4sqVK7hw5gSid6/E+L5t8NgjL6J2++HVpncqy+1Ijj2DnXJXsGbDLpy9Krzm+c0X5WV2JJ4OR9DyWVi4ZCW2HzqHREuJmra8l9CkL6DK5vaQPWgyaDz+2W823lwcgw93ZeDjfbn4SEavFDlrQJORGY1qmByFcbRuTLNQSGuKjBxbh5lkBOceYdLP2+oLydTflY2hUXlqxEz5BI64SZ6UY6aKpTE6ZXxVfp54m8tdAFUbQ5KKlfgW52utQsCRGSVKv+YTIXQjjd7xqmPyScKn5grj5nw02xpHzBzVcZRXf2d1P8OX6W4mBDRS7lA4FUNfZpsiXJviizDgmEVG+RwZ5/iPW6yZkB/1fSh2RpDEKDrXTfKs4vakscrPYzz+iZQp73CoTGqUd6qMvGfLqJUdiVE+3vHSeLy+dJIUZuMdiTFHzukxdnzDpB44SmX+/PpLXbE+5pwvVKTH8qJEQkiyW6FTnd9P3PzO4xzNjz9tVfpE7CjdHU4pFlwsQDNV3lnV8qx8Pf6f0FfurDjNk2N3i+vx7o5TK1TfVG1JzNuX5k5PjtS1CbMl3UZ5k1j2yyBloJQFO6IGe6SuGJfHzyhr/t1R2vds6czdd0fu8uYdCuua/i2kHRrpvBF3jlwvJjQKz8PL0/fjjx90QvNu/Twj/UAlfc+DXK7e6TIGC3ecRpq1zPOrB5VOOJKOYf3kAXju6eoPcuX+CWX2HFw9cwRbt+3AxpDjiE02qV9uAvV3sq8jYucGLF20CFv3HMLlVAtK3MV7T6FJX8A5/W3bt6NFu074pOdAbDkYjUu5xUiwlSNeLvY4q6uaJRSUKeEwkp/nmlDkzflX/nZNRs++PrRrHuP8PR9Okr9oJCOqN3IKIV58Gcaff4JcwNTS57SKMc/LD05XUPyMv/vzM4xTK1lCIJyf9rir83CKR8Uro2d/fkwPySO9yP1iDvrSnQTMOw0j3VS+9OdP4x0F02iQNv/Nk3wkVfn696OxTI24jRbDOWZ3ed/aV5W35IkdhMqz+DFep1Qa77LSpH6ZrluVt7s8SlU8xoiXN3ac6kgRX38+3sa0Mc8kfKlid9ySCI7YVby3KG9agvyeoV6k4q5rdjiMm2XATkvlzcfHMLY/lpl3uvmvVQqNdcW4v6yu2JnTl+3S7e0ubwq/0d9fmcfLMV4vqVKuq0IO4PXa9dGkeauAfpDrvXqnSZcvMH/7CSSZSzy/euAqRuH1w1gzsT+e9aze2eNZsokKGTxlx+L04b3YtnM/9sTEIcXib+1lJUry0nA1ej+2bdqE9TsO4kRsOvLlWvw2oElf4F69sxUtW7ZA7x7dcDomSq6we7iGSkPje4Sjhw6izvvvo3GjwH5zlu+Szbnbov1uzrLGHcKqCTeWbO69loZ8+a20xIrs2Ggc3hOEnfsPISYhV4nS3QRnPhLOHsGujeuwbcd+RFO3p9B1Tx/eekOTvuCmdfp6c5aGxh3j0Hdlc1bWBSz7zLM5q8voqpG+d0orZKRv40jf2JzVYThCr2eiUH4rsmbjapSM8LdtxP5DUUgwF900XVNZVozshLOI2L0dm7eF4NjpqzAXemSVK8vhcNhRUGCTz3vHN5r0Bd6kTxkG7sh1aRkGDY07wndjc1YlzGlnsGBIe3zokWGYtfk44nOqi5+VOwqRf/UAlo/piaefeEnJMOzm9I7kJycjAcf2BmHbxs04FHUOpiKnV4dRgYqyQmRdP4tdG5Zj8cLF2LL7IGIuXENqegayMjOQnHQd585fxIkzV5CWaa7W2dQkNOkLfElfa+9oaNw5vgvaO+WlNsSd2Y/RnRvi5UefwOsfdsXI+TtwIi4LhTLqrhRuqigrRZE5HXGRGzCpVyM8+JeH8Vz9Llh26BTiTSZcvnAKwRs3Yf2mXYg+fx3FTmOOvhKlJQVIu3oMWxZPRI8ObdC6bVeMGDcFcxYsxpIlS7B40UK1JHTmotVYs+sortzqAXANQJO+wHd6R2vvaGjcOQJfe6cSNksyjuxZi0HtG+OVp5/Hm/XaYuCEZdh7/BLSTFaUlpXDZbfJSP08IjfPxrAOH+KZx/+Jl+u3x8S1O3H43HkcPXoYmzbvQtDeKFxKzIXLs3ybb9By5KXi6I5lGNa1Kd578w289mYtfNyoiXBMa/XssHmLFmjxSQf0HjEVS3ZF41qWze17D6BJX6BJX0Pj7iFwp3fWG78iNy0WEXs2Y/rYEejVrSf6DhqFqQvWYd+Rc0jKyofTVY6SIitSr57GgW3LMOOLT9G9c2f0Gjwa89ftwIGoEzh+4hTCD5+WUX4iMszFN14wU+GE3ZSAyOBVGPNpT3Tp0B4dOnZGl65d0a1bN3Tp0hmd5e+eA4Zi0sJ12H8yTj3YvVfQpC8wSL9F69bo1qMXjhyPRpHc4nGZHfcCcY20YVy3zPXW3OzCXY5GU+Yn183zNy6x46e3n9sXynjOKu0cMQmqHuxwoFAVh5efMq/zMl0SVIH+clilpypOX3+v4wyn3lZFRy9/npvL8qr5eawqzxJOPtQFTH/68jvPees8e0z+ZjgjXoLpoI8RxtdXmScMreqiEvA0Kl4v8/VVx5knVd5uPzoyDfyuylv53iLfHvNONz8NPxWOn8bfhnmOKX/194343f43zl3Nz2NGfhhOvqq6ph9PQXPH7zEfXxWvGD+rvZWM5xGrlvZbmR9/fspPVb/d7CPnlt8ZLjT8IN6rXQeNqb0TGkhLNg3Sr4AtPxdJ16/izKkTMmI/imNRMTh9/jISUrKQZ3Ool5qXOR2w5mYiMfYCzsQcw9HDh3FUyP7sxWtITEnH/9/emYBXVV17vN/raCeHvtc6VOqrLVhAhRZqK2rF+oQKiEiZFVGrkCDzJCCIIyqCfbZiSxULyCSBDMxJgAAmMqogIvOQQCYyJyQI2tX12zcnPbmcAAUh1Lv+X9Z3b87d6+zpnP/eZ9+9/jcjM1vSM/Mkt6BMDuuFVlXFfxyTo2X5snfbZkldsUyWJSVJcnKyJCYmansslSVLlsgSfb8s5R3ZuGWHDhjF7ofvzxWM9BXePv3OD/aUTr2HyOTEdyUto0TeyzsmG3KPuh+29gwpAH6cmn3rRFnqteFAtCch7+/nhtL4fap8s4847ZyP8o+6yE6PDAjRJ/hlix7fQLowP78RGo9sA3IAZM1NzDYx9l6jgRPk4xnBNuypJsjH+6V+9s2zj51812YF+1FuIjsJIiOewCNB9oDzP1oy+Af6YurP5+zHRzMH0PMEmBHpipbMiepM3gS/ZWobecRPXASBTnzm8gjzwThGnWhv9tbTVpQbsqX92atOm1C+cF9sbVaFnqPC9av3Q/IQHnENRAQH+YQbEbiUm3am5pSbaOr1et41ev4gH8pNlDb77dFooq+5TigCv0vLccpcU7k5Tr3Y68916aD+xFTgyzUa5OcZmkQf63VC32rWDpSfuAHqw7mP81OfjXq/bC7+TF6NTZYb77xHOnTrcV5r70QqjPQVaO/MjU+Qjn2Gy42PPiv3TU2VQSnZMnxNoQx/t8BF0GLD1Iam5jsNmre2l7obABIA+0qOupD5p9YWVKXz/Dwb8k6eDFqdJ3/eVOxIkIAhCBRSSNxfLi+/X+SiRIeE+XrnG5lW4CIlV2SUO/ExbkhIZJMSJ+V5al1hYN78z3GkHv6+VQezQ0fUL9T2EEH87jIX6Yscg98Pw2/IO/n6eYHTclmrZEWeALG1d5W4OD5SPydSlPR+f/L2/Kd8XCrpSDEqmEWif/PyB4Uub3z9fhjn4vgTWu4/by5yUbWI0wECnJBlGLOuwLVXeJthHBuwKs/pDW3SgRpfuosAJ4jq9Y9KZPQa9dd+CS835tpDzzF7R6mLXMb3sLbbBm2Dv3wY6itX57C8vWMjtV60DeSO4ib9Rbljtb3RWUKOwe/nfNUo9xjtyze2luokocJNLsibgYdB/69bil2UMXacf2XeRDC/ta3UBVMBnizfz63QOhfLk9pmrm3DfSvt6bWFep0UO00nBkhAIB3RwGj30GbH+Wv/Dl9TJI9vKJMOryVJvTYPSKeH+0hi8nIJReSGznOuYKRfM4z0FU57Z/4i6TjsBbmy9yty2Yur5YrXd0udKRlq6U77BR2VK9/cL+iWNJ19wIWjpxysqIp43Kg31MDVh6TJbPXRtD/UtPjw3rNL39gn3399n/x+UY5TKSzUWRv+W3XwgPBbJmQ6zZRLJ++r5su50Dup/1a602OZ9nGJm3WRNaqVKDZCUGj34Edaf75XVJ7vF7My5NGVh2Rp+mEXEczsD1IYozdxvWnpTgMnvMzkTbnrad5dl+Y4wiISGRAZOn1biXRcnCM/nZru2gfz+1+h/9Nm+CP0BfkCBruZSqbtF2VJg+mVvprey9+912Pk31jLjRYMao4VlYMVTw0MKNfPzHB5hNcZ49glk/Y6eYik9JBOEktwWdp2EDlSBz/TclE/8gn3/29tD/oDcmVmD2/R3mgddVuaLT/VNvPK6PejvTnWSMvWa/khp5rJQMNYydPFqDX5Unfafrn4b3urtbdX/8u1va6fdcBp58QhuaEDBaSPBASqn0g4oMOE+fPF15VFjeuQCYbX3tR7wd4yeSA5Rxppe3p5YX5fXm/Q64iBcLUOsh7pExGNXhGyFA1nhPy99FVlmKrX/vQcuWTUQvnenT2la/RgSVqeUkn65/ZeN9KvGUb6ivzsLIlLWCgdBz8tV0eNl59MWCU/m7pXGs48oJYhDWakS31MyekaJYnfxmbqrDqklPlJ5ax3c94RnUnny+1xB/WmSJefaVp88PUMIaurp+6XB5flyiodMFjW4abaXnDU6d+gAwPB1dU8/L6cC9JsFnNA+ihpxysR8NgPEUDeyDkzs7sjLtP5kdafL2Xm9bexBx3hoL3jZuv6hyTECxsK3UBG2cLLTJ0ht18qEaAgmuRE5kJ1ZvYbo7NthOZ+riTVYHqGS+/3p+wY/gyUyCEDSAgNm0eUzJvFHHR+ro0r/dx7jqnR3tSPpTHvyQqpAI7dMvegO79XR7/RDlcpGaGBQ53xDZH+MYlV4o5akesIjn4JLzf2Yx3IGmv/o4rqadjwdIZ8cbT6Uif8yN/vR1k4jjAaA6rX1zTbTi33sxsKHCkjgOdvb6/++P9mXqZ7ykB7h6cxqs0kYZn+/6AS90+0zJTbn6/XZlx/5P20Pi2wJAfgbs7VV6+fW+Zpe3vp1fy+vG8Rnykvbixyy43echpPozP0yQGhwWba5s5H03v+DXQgaKjXQMO3c+TKMQnygzu6S1ed6Sedx9o7kQojfUVebo7MnRcrXR6OlrZRw+SFuFSZva1A4vXmjlOLVZKdp8YsF5EwZtYsqfj13dHDYa1/ic6iXXrS4uOzuXosRskGAmJdmBsRf2aP6LAgKAahk87vy7k4xkx3nT7uo7/DFz9kzYyZJQN06dGG9/LxfD1/Xik367n+tVq3ZKDlhoApW3iZvbz5nN8B8K+rs9TBkwL1QcWS9nEW5o8x22WtGuICZH9AZ4/IDvPU49qW9J4fr5W+XnuzLl9ZbEe+yAwz8/Xy8OeLUe45u0rd7wxQZ3wxBq39JUfd0hT1cu0d4E970B+scSOOB/iSlFmv5+uV0e/nnY/+2Kz9wgBNe3MGZvzUBS18ylatn71X9V2sdWZdn6cSngbxZYJA+zMDj9E0x/VzpS/veZpjlu/9fgH+6EUxcC7Sc/t9wn0pN9+DUFaebgBtxncRaZmV/VWZ3vOP0/6P1+Pz91fImBlLpKnT079PEhOTz8Mtm5ENI31FaPdOSHunb3QveX9tmrKxae8YDKeDtJRlcmcLtHfan7fBWZEMI31F1T79rl3l0egoWbcmTf5x1EjfYDgdrFyxTFo60j+/BdciFUb6Cn9wlskwGAxnhv8EGYZIhpG+wkjfYPj8YKR/fsNIX+EnfZNhMBjODP8ZKpuRi3NG+ijKeaT/2mt/kT17957zC6Em+Nf0+0RH2Y+oGAxnAPcjKramf96i1kh/r5L++YIq0r/3Xnkkqrckr0qVQyXlbpse29bCjdB2wtK9bXiAa5rtfMgMBPn4jZ+h87Y9ArZtsoec42xFDPLBiOpk6xxp/fcQ5WA738nyduVWf+Kb/OVmS+CJ8sX4nLz9voC8OX6q/qT3wHvyplxBPp7529sDbXYqvhjtqn9V4C3tzzlp0yAfv5GO/Dxftsly7FTL7W8zr9y0Bz+jGOSH4RvU1/hzPMjHb/iTj1du4OVNcF2Qj2eer/5Vgbeu3pp3cL1pS7VjIvOXJsvtLVpKhw4da430yW/79u3y0kvj5dZbmzvinzHD096JbJwV0qfBGWk/+SQ0Wz527JiMnzBB6ta7Rm66+RZ55ZU/ybZt26SiosJ9RtranPXn5ebKvHnzpOuDD0u7XgNlXPxqidlWKAl7KyR+T7n7EW0s1hn7xsvlg0Nok4QiPAE3wseFR2W522sfSuv5eTZv12GZu/OwkxNgbz03NDfiYfVlv3tq5hGZv7fcpfP7uXz12MJ95W5/+P7So3rjh/ZQQ17osZA38gwufbh/5f+U2+39rswbcJ6PCj6RRXspX1k1P+erRnkWaLnWZB9xGkGeL2TG/neC1NizHu7r/NUXwx/pA8rqIU/bj3YkWtalDfd1ViaLtd7ovWT74gtob3R7lmidvPbx+zp/PcZee4Kjsny+lJ/2py0Wabnok/C8sbk72ad/2MVfMDgA5CPYd1+t3GF5uzrrK+1Nudlb78hb/YmL2KLlpp/nBLS350+daS8C4OgjcqfZicolXoIyh18nzpdXLXOilo19+gwsgLxpewKukvQ6CbVtgK8akiCb1Ze4iMqudhMaNJ8oE23uT+9M75OEfRWy4MAxeXLGUmnaop107Ha/JNaS9k410lfC/43O9KdPN9IHZ4X0IfGy0lLJyMiQ9PR02bFjh4x8/HH58dU/kaa/vEGeeGKMJCUny7bt22S/fp6Xl1+rX5yivRMbnyBd+gyTxj3HyK2vpkjr2HRpuzBXLUfuWpDtrA02P0t6JOfKHz8okg1KGvzINkD8C00UIkzvXki6kI/ffpeQJS3js+Sx1DxZrUTEDAl3ArWI8hyeVuAkGn6nafx+nKuVWuclOTJ6Tb4s2lempKWDpd7P/NA2GkCTt5ZIdMohl/5Ozcfv3yoh9NojKVcmvFfkBo4yGFtB3m9+XOwkFn4Xn1nND6POlLuDluvxNQU6qOEbqjMzO3RlnllXoJ9nS9swX6y15o0h1fD8xkLZURSaCHCG9TpYvPReoYtQxje8zcj7rgVZ0j0xR55bXyCrM8vdzBkQoPbq5mLpnpTj0tE+fl+MdiAyFRmFNC0nM34A8fL/2A2F0kXblD4J6q8W6ttO+5K+5ofG6SueqCByNJAe0OuAdK0C2pvzIfPwotaZ4DUGKYpOuZEz6KDtcbue3+/n9yeK+Ln1hbIcnSUdZOgt8v7QRX4XuDKHXycY+dKW92u7vKxlRPYBUHMGyYkfFsvDeo26tD4/z5dXIqz/tKnIDWyVY50U6rWanHFYntF+uF+vo6D+arsoV9olFsoN4xZLnVYPSeee/UIRuXnnJiKX7wiPHj3qJptlZYflg02b5Nnnxkqzm26WZs1uksmT31Se0TppGvgGnopEnBXSZ/aemZkpixcvlokTJ8q4cePk7nb3yGWXXyE/rVtP7mnfXoaPGCGv/PlPLhJ28+YPpaTk3P2IQDjycrIkbv586TTwCanbc6zUeylFGkzdI9fNPKh2QK6dkVFlDadnyG2xmU5sa6VPewd5AWQY7lDiRHOFdH4/jPD6utPSHRkQoYqIFUTCbG769lIlsFxpMvuAXKNp/H6cq77ar94+4ELw39pW4iJK4W2IDOJ9XgmslQ5IpEdPxu9f/63Qa3MtNwNOUvpht7wAICGI98a5B53+jt8PQ2eFclMuBrtYnUV60akIgREtiyQBMg7XhfliSDNgSBYMWJ3n1DIB9UYWANExZBau0za7NqDNsN/MOyhRKbkuipUoYLCr6KiMRoZBPyMNeYT70Q5XT9nvBjRmr16deWUW3lcHyV/PCdU7qL/QE2o864ATR6PcdDX9vfpguQzXY83nZbp0aCL5/SgL57tJ27TfqjwXwcqMm6JT7uc2FLj2QNfH71flr/11s/r20fLF6ZNOpg7wtDi6Q+9mV0gvbW+uo8D+0nzph1u1XYZqX2/SQcIDAx0yHMgsBPWV58tAiVgckb/eIJurfY3AHdIVt2q9SRfeZtfNOiiN5uRKnacXy/+0iZYuvYecU+2d8vJynWRmyCYl+5UrV8nUadOkZ68oub5RY2cjRz7ujqempsnWrVulVCemtbnCUFs4K6TPiLtr1y554cVx0rz5bdKgYUO5/Iofyne+e6FcfMn33HvW92+77bcyfPgISU5eLoWFhZXe5x55udkyLz5eOkUPkpujnpDuU1bLgJRsGZpWKENSC3SmmF9lg9TQ3ZmpJI0Il7fUcVAffWN2lsmzOhNCVZJ0fj8M0uunhsrmezqLcrM/9Wcmx8yfmSuKhf2VKPx+nGvg6nwZoZ+9qjMwtHY8KQXWWJFwYGmGmauXj99/gPrySrkZXCACb9aLrkvCnjKdxR+fL0be/fV8kByKketzPqmSdS79JCT/gHIjg2C4Lzaw0kZUqWx6qo/iJCFe11kvM9cgX8+eWJcvkzSP9ZreG2Sdyuau0ipf2ifcj3ZAq+gVbW/UKT3NctbEWb5AcRT1T+oX1F99tT1Qkpy1Q59atdzQFiSIztK07SW+vKu3G/XlfKP0yegNzYMlkVIdKCm6X2WTsvn9qvy1LgxoPL0hu4GaKXkz09+hg8bftM24jmrqL17RJaKvmRwAas51Ql3Q/uEaDfLl+NN6DePLEyTLOoBBC1VUnmZRPfXSV/mn5svQdwtlxPoyaT9xidS9s7t0eig6pLJ5jpZ3CgoKZNWq1fLHP/6/9O79qPy+Q0e54Ve/ljo/ukqurPMjaa580+OBByUqurdMmTJVJ6ZZRvqfJ/bv3y8va+M3afpL+cpXvyZf+tKX5OvfuMAZ7//ry1+Rhg2vdaPv2rXr3ChdW2BNP2beXOnS4yHpFj1Q3kpKk/WZpbI5/5gS5FG3NuoZj7yoYmaUHHPrvCH6C5EB691oy5MG8/t5vqwPs1TATQQJIHkLcR8q/0x263EewUkT7ofxGbr5rClDflyvDBqcC1Iiby99uD+vlHu/pkMniC/lADc1AxakiJSu38/zpTzMdPcU4xv6HgNvzlGk52Jpi7KF+3r+2Ifajnxv4Q02lJ0nBTTfWeMO8vVsi9Zrt5JXvsvbubv2Zo0ZjRjShNfZO+Z05bVdmd179zdthiYNcthbtFzUL8if9qBetG155Tfv1Jly78FX28TLx+/H/xjr52jxM6hD2OTPwINCKu1N2fx+fn9892p7kZfz1bzpMr6Epb0pc/h14vnySrswwHoS2vjTBgjsMVkJ98M8X64T+oolHe/HfpjcMNHgSSWw3tqO3C8fFf9DJsUlyU0t7pIOnbuFtHfOEemzWrB8+QoZMHCQ/PwXTeTSy65wk8yLLr5ELrzoYvn+Dy515P+LJk3lRZ2QGul/ziguLpZ33kmVAQMGSh1taI/0v3HBNx3h0wEdOnaSmLkxkqukW5uN79+nHxUdLalpaVJeccTdZEFGUfXvOHCMz4J8/BZUVQ6dqq/+VQP//zu+mB/8H5Q+3M6k3Jj+VQP/B6ULMv07bf+gcgMOB6UPN/2rBv4/5TpjIbcq8H9Q2nDTv+N8AceC0vutpnzPtNwn89c/fXKvnX365MGXt8+/8IKb4X/3wovkq1/7ulzwzW853oF/WGJu1bqNzJw5s1aXlGsTZ430+ZKkqKhYZs2aJTfe2MzN9r2Z/re/c6F7Anjyqafkg00fuC9WahP+ffpo76xHe8f26RsMp4VVtbhPn2Vi7uWOnTrrrL6O45uvff0CR/5MNq+97np5buzzbg9/bfNObeGskb6HjRs3yiOP9HTrat4sn0es+7rfr7P8uZKdk33OLoia4J/pmwyDwXBmqE0ZBjaRbN68WcY+/7zcfMstbmnny5UTTpZ42t3TXlJSVjrCr23eqS2cddJnF8/fp0xxj1QXXqQd8JWv6qPXr+Sl8eNly5Yt58VoG0T6XoyBwWD491Db2jt8obtgwQJ56KE/yFVX/a8jfQj/+kaNZNSoUbJnz/kTGFobOOukT2fv3LWrap/+ZZdf7mb5/Cp86Xmyppafny9z9amj2733Su/evWXNmjUR++hnMJwpVqxYIS1bhiJyExOTpCC/oPKTcwM4Z9vH21xgFkvL3/r2d+WHV9Zxk7r4hAQpKyurTBmZOC3Sp1ErKo5IcXGJG1UhzZqsqKhIDhw4IBNenuC+XGEtf/CQYbJ8eYp7CnD+BcG+GF8Ie5G7Z2u2wO4CvlDu0rWrREVF2UzfYDgDMNO/447QTD8xMVHy8/IrPzl3IOAzPj5BevR4QOrVu8YFhY4dO9YJPUY6Tov0IUS0cwhyWLx4iSTMny/x8xPca7gtWbLEPWqNGj1abv+/O9RaSL/+A2TS316XuPh4ma+fYeF+fIalrFwpO3fudINHTRF0DAYuClhHcAic5RpeT2YMKrxu37FDJr/5prS9+2657777ZeHChW6gCqU75HYXmZmZ1WzePcdEMCZmrtO6ad26jcyZM8dF5J/qPYkdUisoLJTDhw9Xu+c//ewzqThyxHEB56vpnEwkDx48KMuWL3crDAxAd7W9WyZNmuQUAviyN8jPM/IuKS11PHe2Jpq1idMifcg1LS3VCachqTB02GNqw2TYY48dZyNGPu6ibx948CG5s1VrvRDuku7395B+/frLUJdmeKVV9xs8ZKiz8RNedpINkDCz/SDwpWtWVpYbhGa//bbMmDnTvZ7M5sTEuNc3Jk+WAQMHStMbbtCLtbmMGfOkTJs2zV2wb+vns2bNNjMzO4HNnj1b75U5EhsXp/f8SKlfv4E0adLUxeG8/sZkmcXn3E9q4fdhdZstM2bN0ll6vNsEArFD/JBvQVGhbNm6VRYvXSozNQ0W7s/558TMcfm9OnGi9FWeadVaeadNG7eezz09d968Gsqh9dBX6rB8RYoLMP0iPvGfNumnpr4jr018TUaPfqKKoIcMHXacuQFBX/sPGCC9H+0jffr0lYEDB8ngwUMC03s2aNBgZ+NeGi9LtJMh/Zpm+uy35Rv7v/51kjzap4880rOnez2ZURZeSd/27nbSqPHP3fJTx46dJCoqWvr27RdKo+U2MzM7sXGv9OvfX9r/voPUb9BAGjVq7KJiH36kp7v3w++/ICOSlvtxmE4iZ8yY4Z7yWd799NPPJD0jQ5/CF8nTzzzj7k8s6Bx91MiPfDt36aqTzVbSomVL6dbtXunTt6+zID/yxgYPGeImmytXrvxCrv+f9vLO7t27ZdWqVTJ//nw3cqJSeWKLldjYWImLjXOvwWn+ZTwiYgR6sKeWR7KgH11hBsC6fzXS79Ur1JG+C/JERkf/4Q8PS9eu3aTbvfdJz569HOHzNIL17WtmZnZiq7xf+g9wZNupU2d3P0Hg3F9B912QeaTPyoGf9I8d+9Tp6qDn9cyzz/6L9APO4TfO16tXlLuno6N7V030akqLMSGdYKRfHZAvsgmsnbGel52dfQLLqnqfk5PjrPrnwcZyDca6O2t7NX2RyzEuCnzWrVvvBqE4fTzj9aSW4L1fUM0WLFjo1vW9VzMzs1OzBToTd9/RuXuLe8m7r7x77cSGH8srfBeIcBpr7Oykg3MI9uT7gZSUFLf8gwWdw39fU6ZFixY7437ms1DZjjeOY4s1LWoCfG9pyzvnMSB/ln8YHE7H8PVbUBozM7OT2+dyL6kfRO+f6PGeY//OOU+3LKQNWln4IuALQ/oGg8FgODmM9A0GgyGCYKRvMBgMEQQjfYPBYIggGOkbDAZDBMFI32AwGCIIRvoGg8EQQTDSNxgMhgiCkb7BYDBEEIz0DQaDIYJgpG8wGAwRBCN9g8FgiCAY6RsMBkMEwUjfYDAYIghG+gaDwRBBMNI3GAyGCIKRvsFgMEQQjPQNBoMhgmCkbzAYDBEEI32DwWCIIBjpGwwGQwTBSN9gMBgiCEb6BoPBEEEw0jcYDIYIgpG+wWAwRBCM9A0GgyGCYKRvMBgMEQQjfYPBYIggGOkbDAZDBMFI32AwGCIIRvoGg8EQQTDSNxgMhgiCkb7BYDBEDET+CfpG8sUd0QgrAAAAAElFTkSuQmCC)
physics-General
physics-
Consider the situation in the figure. The bottom of the pot is a reflecting plane mirror, S is a small fish, and T is a human eye. Refractive index of water is m. At what distance from itself will the fish see the image of the eye by direct observation? 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)
Consider the situation in the figure. The bottom of the pot is a reflecting plane mirror, S is a small fish, and T is a human eye. Refractive index of water is m. At what distance from itself will the fish see the image of the eye by direct observation? 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jXOSzNnWqa2sqlzuau7PABdy4Yjc3x2TMqO3rItLitDkBZA8wc0EfpbVoqvXVLZfXr6ZwlFG9IUPnpkzb9TXcur+46rQ4ooEdIAfg1Z/CLIHcSxDSysgP7FFq22O3CZo8baWA4xmlwbnNj9kfOHx+bHPlzZ3mfBm7cw0sLnptxcoBM/sezPA8xNr1mjTAAvIAeNwrALwA/N+10R9yYglZXOxs9AKvi4nmV7tppGmGcCmwaC+DlTp/ijsnBedMnOzBk97YwLsY0wC3OE3RNJhpeqfdWN+ID+Cz+ey0hBhTQo6QA/ALwuyu5nd38fFWnpbq3tOF0FHMV1gkd892mv7yfozo12QAzx6bR9zg5ElBAjwkF4BeAX0ABNUsKwC8Av4ACapYUgF8AfgEF1CwpAL8A/AIKqFlSAH4B+AUUULOkAPwC8AsooGZJAfgF4BdQQM2SAvALwC+ggJolBeAXgF9AATVLCsAvAL+AAmqWFIBfAH4BBdQsKQC/APwCCqhZ0p3gNyoAv4ACCujJp88Gv1vO21FNTU0d1/IaB17C5T5vc/0wXrim4p83AL+AAmqGFA1+I0eO1qGDh1QYCrn345SWFCsvN1dZWVnKys5Wvl0vLi1TeUWlKiorVFFeqpLikAry85Rt97Oyc5SXX+DCVFYBgh6APs4UgF9AATVDagj8Dh86pIK8HBXlZ+vy2RPavjFRq5Yt06qYNdq256AuXE9RXqhIxSUh5WenWJgj2rU1ye7HaOXqeG3efcjCpCmvsEzVNQH4BRRQQI8hNbThceTwIYUM+PKzUnRg23rNGD1QHd57Vx069tD0j5dp/4kLyi4oNI2vQLlpl3R4+xrNnDBcbdu11wddB2r8J7Hac+KqMvOLVWXg97g78A3AL6CAmiHdfc2vUBWlxTp7cIvmjOimli89rXdbttfMebE6eyVVZTbtra6qUHlRpi4d2aLZ44botdff0Ysf9NHYhRt04nquiiuq7vZyw8eKAvALKKBmSHcDv9Lycnc/7eIRrZo6QJ3efsk0v55atnqL0rIjXsp/q1w5V49r2axJBo5t9EanEZq59qCu51c3mTc2BOAXUEDNkBqa9h4+fESlvLjfKO3iUcVOG6gPW7yiTp16a3nc1jvAL9fAb/nsyWrZqq3e7ByAX0ABBdQE6F7gl3rhiGIM/Lq0eFWdO/fWijVblZ5T5O55ZOB37YSWz5miVu+1c+A3a80BXcu3KW84xONOAfgFFFAzpPsFvw/fel4ftGqjabMXat+hE7px87pu3rim5KtndXh7vKaMHKTX3mylNwz8Zq87GIBfQAEF9HjT3cHPX/M7qhjW/F79hV5/4UX17DtYH89fpLVr12jd2jitj12ueTMnqVv71vrV86/r9c7DNSf+UAB+AQUU0ONN9wY/0/wAv9ef1jtvvK0RY6dqXeImHTx0UIcPHtCRvduVGLNQw/p00wuvvKM3Phyu2esDzS+ggAJ6zOle4Jd64bADvw9bvKyOHXtoScwG3UjL8Y6v1VZLFYVKtzCLZ05wu71vfjhCs9YGa34BBRTQY073vebX4hV17txHK9dsU0a9DY8K5V0/qRVzpqjle+3cmt/MYMMjoIACetwpGvxGGvgdws7PN3UxrW7F5H5q//rzatu2m5bEblZqVsjdc1RTqqzLR7Rkxji93eJ9vdJhqD6KM/DLizB1CU54BBRQQI8b3Ql+o3To0CEVFxepprpSl4/v1vxxfdT6tRf1Qesu+mTpel26kakqvLfUVKm6OEfXTuzUvCkj1eLd9/Rah0GavHy7zqQUqawy7NklONsbUEABPW5057R3lA4fOqiC3CzlZXK2N0Gzxg9T1w5t1bVHP82ct1L7jp9XZl6+ikJ5ykm+oEPb12nu1DHq8mFXdew9TFPmxWnP8avKyCtRZbUB4GOu+gXgF1BAzZA+G/xSdeb4YW1KStDKFcu1KiZOm7fv0amL15SZm6+QgV922jWdPXFA2zYlaNWqGK2IXauNW/fq1IUbys4H/GoC8AsooIAeP7rbtLeoMKSaqiqV2f1QQYHz6Zefl6fCwkK3E1xRWaWqqkpVVpRZHMV2PaQ80wZzc/MMFL0wVab11dqUN3BpFVBAAT12dKfmx25v4MY+oIACesIpAL8A/AIKqFlSAH4B+AUUULOkAPwC8AsooGZJAfgF4BdQQM2SAvALwC+ggJolBeAXgF9AATVLCsAvAL+AAmqWFIBfAH4BBdQsKQC/APwCCqhZUgB+AfgFFFCzpAD8AvALKKBmSQH4BeAXUEDNkgLwC8AvoICaJQXgF4BfQAE1SwrALwC/gAJqlhSAXwB+AQXULCkAvwD8AgqoWVIAfgH4BRRQs6QA/ALwCyigZkkB+AXgF1BAzZIC8GvC4Mdr8Wpra1VdXe2Y7z4HFNCTSn6/j+7nXPf5figAvyYOfjTgzZs3dfz4CWvIY0pOTlZVVVU4REABPXnkgx8gdebMGdfvMzMzVVFRoZqamgD8HoCaLPjRAbKzs7V9+w59NGOGJk6a7L7TCQIK6EklX+MD8GZYvx82bLj27NmrUCjkZkD3SwH4NWHw4ymXmpqqNWvWauCgQerdu4/Wr49XeXl5OERAAT15RL+H6PuDBg1R69ZtlJCQ6BQBZj2B5nf/1KTBj2nu6tWrNWDgQPXp21fx8QkB+AX0RJMPfikpKRo6dJjatm3n+j2aYGVlAH4PQk0e/GJjY60BB4TBL15lZWXhEAEF9ORRNPi1a9c+AvwqA/B7AArAL6CAmhAF4PfwKAC/gAJqQhSA38OjAPwCCqgJUQB+D48C8AsooCZEAfg9PArAL6CAmhAF4PfwKAC/gAJqQhSA38OjAPwCCqgJUQB+D48C8AsooCZEAfg9PArAL6CAmhAF4PfwKAC/gAJqQhSA38OjAPwCCqgJ0cMCP7wfHT9+XAMHDtJrr72uMWPGOjBsTuMnAL+AAmpC9LDADzp37pxzifXmm29pwoSJzj9gtJPUJ5kC8AsooCZEnwf8ADbGR05Oji5evOjGS6dOnfX008+od6/eWrdunc6dP6f09HQVFBQ47fBBwLSpUQB+AQXUhOjzgB/+/hgzSUkbNH78eCf7ve99X1//53/Rz372c7Vp21YjRo7U0qVLdfjQIWVlZdWl9yRSAH4BBdSE6POAH7LXrl3TrFmz9fzzL+ir//Q1/fFX/kR/8Id/pD/7n3+uv/s/f6+f/uxnGjx4sLZt26aMjIwnehocgF9AATUh+jzgB2Vn52jZ8uV69bXX9Fd//Tf67d/5Xf36b/ymfv03f0t/9MdfMfD7uSZNmqyTJ0+qqKgoLPVkUgB+AQXUhOjzgl9paZlOnDihcTbt/fFPfqqv/Mmf6jcM+H7zt35bX//6v6hHj57atGmTssJu8Z9keuLAL3BjH9CTTD748Q6PYcMeHPyYxhYWFmrnrl3q0bOX/u2b/64//KM/1p/86Z/p5Zdf0XLTChlXD/IypKZKTwT4DRw4UP369dOGDRuaRaMFFBBgN2LEcAM/3uERf9/g5xM7uitXrVKLFu/qX//1G/r+93+g4cOH6dixY83m9a9NHvx4gZEPfomJidZwleEQAQX0JJIHboAXYHUb/LIeqO+jJJy/cEHjxo13Rs5du3bVunVrHYg2F3Lgx67Onj17nJ1PTEyMx6ZR1eMYj1fHxSluzRr3GRu7uu56HdeFj9HKlSu1du1a7d23Tzdu3HBHau73yXQvigS/Hj166K233lLvPn20ZMkS9zpLNMJ6+Q844CeAV9iYYmzNmDHT+vzbavXeezbG1jnQqq6ucrZ52PBt3LhRsTY2VjUwlhm3jJv58xeoS5eueubZZ9WyZUuNGjVKCxcuqgsTPZ5XmaaYmJik48dPKDc3t8nvBDvwYwF04sSJat++g1VCK49bvVePW733vrvOU+LpZ57Vr556Wi++9JJrAO++caSMhX377XdcnFOmTnXginHlw6owwI9FXxqxQ8eO+sEPf6Qf/ujHeuPNt1xe6+Ul4ICfEH7Hpqlv2bh67vkX9O3v/Jfefucd97BHgWFMcDY3yQCqV6/ebhy829BYDnOLd99153qffe45Pffc8/b9VYuvxR3hHTOe7V7Xbt21aNFiXbp0qckvMf0amhgq9O7duxUXt0YrVqz0eOWqehwTs1pLly1X//4DnI3Q8y+8qG5WETNnztLy5Su0chWaXsxtGYtjmYWPMw0R4Lt+/bpKSkoeuubH0627aX6AHg3Ok4un1sqIvAcc8JPCjMHlNramT//IHUsDxHzNj7U6p/nZdBYNjTFJ2DviWQGvdGOEscK4R8vjmgvvOFrGG8/r1se7dcGHqch8WeTA734JGyHAhScPGuCUKVN17tx5t9D6qCkS/Hhped++/dyb68vLK8IhAgroySMfcFJT05ypCy8tX2+AxJpfRcX9b3gE9AAbHqjT+/btd9rV//3Xb+hv/vbv9O67Ld0Thvn/o6Y68Iu9vdublJTUbHaqAmrelJGR6ZwS3Aa/B9vtDeg+wI8nTU1Ntc6fP6+JEyc5w0jsgjCKZIt8yNChOnTokANHAOlRUST4BUbOATUX8sdYSkpqo4ycA7pN9wS/qqpqtybIkZgXX3xJf/4X/0u/87u/p//267/hQPAXv/yV5syZ4xZAAcBHVfn1wa+/+hn4bUyMV21lYOQc0JNM3rQ3Kz1VI4YNU3tn6hKAX2PonuCHJrVn9x51795D//zP/6Lf/b3fd1of5wH5/D9//w/q3Lmz8xSB1fmj0v6iNb++Bn6JCfGqLA80v4CeYKr1xld6aoqGBZrf56J7gl9xcZGz1cPdDe5v/vKv/tppfByC/t9/+Vf6j//8lj74oLUWL16qS5cvP7I1Nwd+mLrErVHfgUPUrkc/TVm2VrtuFOhQdpUOZlbU8aGsCp3IqdTVwirlV9SqqvaWdRIrW9UtXSus1rFsL9yBjNsy7rfxUZO9WVSt8mpPBioxuQsFVe5+ZHhf5ojJnM+rUlZpjSpqbqnGBKstzSKTu056lhc/bJ2spY3cubxKpZVUWxq1zpwV+bSSGp2x64ftfl34MO/PKHfXL+ZXKaesxpUNQo70z9n1huTgI1bu83Y/2+QqTa7alIpiSzeztNrkKnXIwkTXCdeor0tW/pyyWicHFVbW6oLFFRk2kveF80ldVlrefCq1RP26vFt9Hs+uVEqxtYGrS7k08ytqdDlUpaPhtqP+IuVIizpLtvSKLG+UjXZLtnhO5Xpliwzv8zFL66Llx9VJOJ/UZYbVJXLUd3Q++U3bXSioVF55jdPNkKQN060tz5icCxeVR/ik9QX6YEFEvyQ90qcNnFxE+P1ppa5/rz9xTW37jVSr9h9qXXyS2/AIwO/B6J7gh2Hy3n17Nffjj52ra+yC/ulrX9c3/u2bevW1153pCy5yNm/eohTT/B6V7Y8Dv9Q0xSUkqduIiXqq+xg9Ny1ebTanqcOekNrvyKnjTrtyNOBAvj45V+gGRcgGQ6U9QM8ZQM05U6iuu3PV1sK13X5bpp1xG/vdfU+uVlwqVpoNGjong3y/deKxx0LuPuEiZYij665cTbT7O1LLHCCV2cjLtMGD3OzTheq5N8+Fr5eefe9i+Rx9JF9rr5bYgKhSjY2iLJOPv1GqEXadcpBGZJofbMtWZ0tv6olC7Usvd4OP9K4YMKy7VqqRRwrUeWeui78urTB335urKSa3FzkbfDwYqJ9FF4o08ECeOliYyDzCXOtpdTL5eEjbU5HzNBEAY+rJQi9+k4nMI9xqa7Y67czRMqvLDANzxij1eSKnQhOOF7i6JK1IOb5zre++fK23suSW1zoApG7WXSvR6KMF+tDK7sJG5ZPrww/na6Wld95AkHa7YUC4+mqphh4qcOXw6yFSrpe1zTQrB22XYcDFQw/gjb9eqsEH8119R9cJv7vtzrHyhxwYG8a6fFK2xdTl/vrt7adLHgZav1xwvtgBfIHrl7d0w8CQ8pL/SDknuy1L7XcX6O248/pW14l65cOBikvc7MCvKgC/B6J7gh8gk5+f7wyKr1696txd//gnP3G2fmyA7Nmz153ewO6nrLz8kVU+mzA309K1etN2dZgwT//e7xP97dgt+tri6/r6ygx9bVmq468b/+vyVP14TYaBRI7WGLDwNC62jrb5Zpnet0H59WUp+selqfqnsAz8T/b7H5ak6NsxaTZY8p1GBqigYU05EdLT6zP11aUpdeGdjPE/2rV/X5mmtzZladH5Ijfg0Dx4wn90KqS3N2fpWxYn4b9qaUTKf3Nlqp6NzzAALHCaBAPhug30yZbeM3b9n5enOBk/n3z+3eJkfWNFmlptydYqG+g3LHy6Ae3m5DI3sH65PsOV/2vhtJCBiec7sWl6f1uO4lyd1Li8zjtXpDc2ZuqbK1Jc3UXmD+Ya+X9tQ6bm2oMjudjT9NGkWltcftzUX6Tc3yxK1r9YPvrtzzeNrEpVVjY0xyUXi/RSUqb+0eo6umz8pl1+ZG330alCp32hTW1JLlVHA9LvrU5z+fFlIvnfrC6fsjobYm23K61MmfYQOWEa2Hh7KD2TkGl1Gc5nhAxxfTc23dXlp2eLdNbaPNceJmj/Ywxof7YuQ3+/JNnlyZdBnrz/56pUq8tsbbxZ6oAPTW7l5WK9t8Xa2+6RXqQMTH38fG2Ge5gk2QOO8hVZ+Xbbw6i/td1P1qTX5dOX/drSZH1tRbr+bs5p/VmnWXq65zjFbNiuzIzMAPwekO4JftG0eMkSdxyG0xtLlix1myFfBjnwM80vZsMWdR43W78YOEvPzd6qDtsy1HVfgWlJuY7RitDsAIJZpnXtTfe0sRIDJABmkmkwHXbkqoNpRx3DMnBH+93BBlivfXlaeqnETVfRAq6GqrXsYrGLr5OFIf46GWNkelhnnmjxbkspc1NPppJomWiQowzY0Pz8NHxZ4ulmcsNssK6w+JlCAn6ZBkpoglxH80PGzyefaKyUD0BmkKOtoC0yDfzEBjD57GL30f58Gcf2u4+VbYbVCdMptCo0nDWmUaH1oWVEls1nNKqeJgdAx18vcVNkhtulgmoHUH7ckWWD0ew+tHzMO1esK1aXTF1Jk0E/wjQc6i26bH6bDDKNK8keVAAK02Q0XMDoQ6uP6HbzGY2dh9YSq8uTBno5BmKkG2uaHxpVZ8tLZHow5aVOeNhssHwxHc23PJ636edyaztmD+0tn6Tpy3j5RBvOc+VHg6Nsocpb2mQPoFGWFjMByh4pA9MuQ6xsPHAOZZbbVLfWgd9xe1DOsbYjL8jVq8ud2eqyN18t117Uf/aYqhe6DlVs0pYA/BpBDwR+mL3MX7BATz39tLMuX7BgoTu58WUQGunNlFTFrFmvPkNGqHO/IVqwJklXcm1AVnhrO3BKcY1SjZlqsY6CFkbnrDEuNTDjWrLd98NHc6rJMSUss7CsG/HJQOJ6clGNA4w7ZIzpyGgpaDikV2iDASBEw3KyUTLEw3We/kxdS23uZKImLxVa+lyPloFvGiNL3JSN9GDWMwF51gupA8JE5pXv1AlTXcpEHkusgAAnGiAcGd6XoWzEyTSedTe0HBMVs1+vLuvL+Ew++SQM6bEuRn0CaOkGoNHhYVe2MJiTN1cflhh55j55ZA0xWo7yptHmlkc0N+qCfJIueW4oPa9+PDnqMkTZLLw1oZMjnlTLS7Scz8gB5qzXUTZrCteO1FeK9RP6YLQM8bl6NDkekOSRBx755brfdyNlbhZWuv59+HKyug4crnfbdtTa9YnBhkcj6IHAj82MT+fN06+eekpvvPGm5s2b76bCANGjJrfml5wijuew29uvbx9n6nKr6oszdWlsv0KsMaKPuhs3pnyNLVtjqbFpPfK6DH8+CLm6vKcg0CrlYOoydIjatmkbGDk3kpo4+N2283OmLvHxqghMXQJ6gulW2NQlLTVFw4di5xeYujSWnhDwC+z8AmomFAF+np1fYOTcWHpipr19bNqb4DS/e097mTg8aB8hPHKsbz2IKGFrTbgx6T2ojE+W2gPlEarLp/fzvojQjakPPzzl8yZx90+uXsLf74cISx4p2wNROB2fH5QetM0Jij0o65qfRbXhsZaemqohQ4aqtU178bQSgN+DU9MHvzVr1XfwULXrPUAzVsbrcGqhzhVWO7MGmJ0+jFMxGL0W8gyBWZxnQGB0zIL56bwqZ4qCITThfVl23U7nVbowmMawQI8si9/Y0REvHClDHKftE7u3zLJalVlvZpGexXMW21nEx/DYyZBmhKyfz5vFVc4ujYHARgQL/pcKvPt+Hv00j+dUuO+XQ9XOdIRFc9Jj15DNFfJBfihfZD75jREwht/Y6pEOi+1sJrD4f9HSo+x++Eh2+bR7hGP3FQBj88jVJWGiygX7+bxuMizuU/8w6V2yusQmriE5rlNfbACQP+qEtKiTqyZHPly9RLCrH8pnn4Rx9WIyZdbebGZcDt0p4zNlpi5Jj7JhnM6GB3XJri/luCOf9ptyYwmADSn1UW0gxEYVm1gYhLu6jJIjn7T3VeuvlIe+Ykm58pE+cq7NIuSOZ5XpbEG1Np++oXYDRqlF+y5a44ycA/B7UGra4JeSqtXrE9Rt+Di90HOU3p2doMF7MzTyRJEzZ/C4wBn6Yr6AiQqnEwCWWuvUV6yzrrxU4sxPhh+ysHBYbpgxRq1jjoacwSlGzgw+ZDkZ8ek5S8PCj7D4I2UwSRl1xDOr2Z1W7sDWRBxgkjYmE5jBuPBR6ZGP6SdDSrhe4nYyAVt2DDG4nXWm0MphYSNk4MEH8zTqaIEWni92pjvOyNnA5UZRlbamlGnOmaLb5QvLkBZmIBgJY2aBYXNRFTvMtc62DVvIaZYP6o2wkenByGHWQfykB5HfJReKXZkcR8lgPoOh9tprJa4uMeCmfJgAkYehh/JcniLl+E75xh0rcGmFKmucdgQQbbc6mX+uWBOOhSze223gy42wuCYeL9Cqy8UuDdoNuS3JVpfWNpjXEC46n6SF0TGG3xmlmDfVOnOj7ZY+ZSY/2A5GyvCbOplvcoAcAMYDCPBKuFGqGSYX2XZ+uuRhkvVLzHEwjvYfeCmW3qabnhz9i3rx0xp6MFcjrE92S7qkn/Saqte7DlZc4hYHfoGpy4NR0wW/6mrn2WJ1wgZ9OHq6ftx7qn40ZaNejU/WW1vz9OambOMs9/nW5mxnTc+piz3WqUP2ROaJjvHqSOtcb2zM0uvGXvgsvWH8uvHLGzLVakuOM3hNcWDkHXNiAPfal2symSbrp+PJvbYhSy22ZGvA/nwDsVKnadChMXkARAGG97fm1IX3ZV+z9FtYPnvuzTUQKXKapSXnzEqW2uDouifXymEyEfmEyeO7lh4AByBgSsIgQvOZb6DSfU+e3rZ4I9Ny+bS8I4cdIAbRAAsaGbaCY20gc5KBeouWI/33tlr5TI5TD/lh8EPzAQResfxQl5Fy8ItJmXrH8v+x1SVHznBLx3GznZbnAQaM5Cdaju+Uj/QwhkZD5dAfx+E+trL1sLK1tDK8afmMlCGet+2TEzOfnC10GiCaOxoWDwns62i7yPT4pGytt+c40Mf+EM2WOqEteHAiR/loKz89mN/kA5s9+hfghyZ9ILPc2V9iM+naLhzepcV3k6NfEoYjbKQFuPMAmn0a+1PrJ9a/Ivvm6xsy9OqmHP1q2Vn9W48ZeqPXKK3duE1ZAfg9MDVt8LNpr9P8Rk7WC/0mqeXHmzRsX6bGHi+yARxygxhjWD55aq+9WuoGDic1ADKmMYtMW6Gz8+QmnC/Db57WGEEDDtij0a+ybAoFyMw2TWzUUe+JHylHXGh2ABaaHrZ3EKC0yzRBtBXuE9bPG4z2NsG0jvnni7THwmEnCOWU12qLaR0zTVvx8+XLwOSR+DhNgNYB8DGIOImSaAN49uki02a89CLlyDvHygAD8kmdlJk6xneujQuHi5Tz88xgRYM9aVNANCMIg2Dk0E6i8whzfbyVj1M12LVRl+STB9CnVmbKH51Hfrs2sPS2WZ0THrpu4Lka7dTa1A8XKUNcpIV2vtPqEo0PMOJzk6WPYXdDbQdzRG+F1SX1kGf5ZMqLfR2aJxpjdF+B+T3J6hLNF+DioUX/OmXfOc5H/v00fBk/PbQ72okykUfWCpmqx10tdvXsh/PlRh3K1Ujr2z2TLuipPtbnuw/U+g2bHfgF094Hoya+5pes2Lg4t+bXue9gfbo6UReyOFJ221DXZ57irP2wnkLnpItgOMtRME5vRIeH6ZBoKaxL0Zkhpr7OeLXkM2QsLdZsvCe5E3Mdm3jQ5Fgba0iW62iWrBsxbYL4xMia/DckQ3rIOUNg06RID82D70y5MZJtSA7202N9kORgwBqQaCi8z5TPS8+Tg/x1MUCwIRnqmPQAFL8u+QSsqZOGZGC/Pqk7vy5Ji+NqXG9IBiYt2tad47Z0EMUA2T/JQrwNyXGPstF25I+sso5KG6C9302OfkJd+g4pYOLgGnlpSAYmTuqEvPlylI88EGd0+KsFFS4P+87fUPfBI9Wm44eKTwiMnBtDTR/8YmI0sH8/DejbW1sS19uICvz5BfQkkwdu+RmpGjVsqNq3bavGvLc3oCcB/AI7v4CaE91h5xcYOTeWnhjww409dn7lgRv7RlMwbB5/8scaXpaGDRumtgZ+6wPwaxQ9EeA30Lmx9872Bm7sA3qyydv0wY39yOFD1Y4XGAXg1yhq+uC3Ok79Bg1Wtz4DtGxNvFLzS1RYfUu5Fd7iNovJMDuMmLiwmOznttL6EQvuhLsbI4uXDTY16VYsurMzyu6vH3d0eD89Fr+xZ0MOeYxmWYCPDB/NLKwXmhzOVpFjwR05HF1GpxXJlANDXtJBhrKRfmQ+G5LnPnWCjFvct+8Y594tfB1bGDZK/E0I0v2sumTXmk/neYaEjPiL0fhn1YkvVxLOIzKWrNtMuFsbRMqRJ+dpxQT9NqAuo8P78cDkh3CkY//DhscNy0UycmyO+ES6lJfNmobyCHOPeP02oIDR5YsMn1VSpQLrjyev3FTvoSPVukNnrU8IPDk3hpou+FUb+GHnty5B3YdP0Ku9x6rjp0maeiRbc86VaMbpImdGMNM+MfRdcL5I666WOsv+YutoWOCzM4m3Y8xIvLAe8x3G4BjZLSnlbveWQVtgo/VIdrmWX7I0kAmzL8N3TCIWXyjWwYxy14HZNWTn9XBWuXMcip+9yHRcHPabtJDDlIaTAZg9FBgK4jodOzPi9cP7shgjzzY5DJOxtfNA95Y7SYJpDXLcj8wnn9NPhZzhNOXgJAuDDTniwH8g9nizrO58OZ+RIf8Y5pIvTslA5BdfgJgUwZiT+HmE8XJM/jE1YVcYjKiwesGNfsxl5EKenM8WljpBDnMdHHwWVXq72ezyYqyMaQl15tcL7PJovykzZkP41GOXFHDB3Ajj5aWXiuvVP4wM1zCPWX2lxBl+s1OLHDvLlJUy0yci84kMecf0aZXJnS+odHmkr/jmRuRjFm0QmaZ9J03XL6+XOhMZ0rplwMeOM+ZN3KMN6uqStE4UaKbFNXTrJT3db6re6j5YawN/fo2iJg5+aVqduEmdx8zQD3pP13cnb9Sza5P14oZcPZ+Q6fjFxCy9uiHLeRnGAeeW5HJ7gnp+6A5mlrtTHBjgPkf4xEy9YIwcv59en+EMTOl42F7xJMc0AZs6HF86GeMXwp/8fjY+09LLdA5NARFAk7RwvR5zxXOI+fambJcO4evisN8YvXbbnes6PfaIGLzyPg8AEc/FL4ZlCO/zU5bHV5KyXLx4EQZY0CY4hQIAYCj7ipU/UgbGMzT5xLEqAxRwhpMsDuoEj9MvWbyRMpTTN/zuvz/fPTjQVCEeKjgd9esgOp+/WJehlyz/uNu/XOCdXkGjBpy6W5nxYF1PjrIa442ZeqFOsg3Y0Yg5YkY8uIKnbSPbjE/qCSNi2ggQJ28hmwmQLqcwcArrt7kvQxzItbByY/jNwwSjaLQ57EEXGCjiTp4+8Yzl0+URNhnyjmdrvFTvNHA1EeePkZM5GJ+33Jrt1WVEPmE8WOOMFjtA3nGClor/RgzUeThhaP6C9V8/j47j0/VcUrZ+vOS0vtp1ul7oMVKrk7YG4NcIatrT3lTAb6M74fHz3pP1y+kb1HJjmj7YWeBOBcC4aef9Dv325dlA8N7hwRlbjnJhyIoRM8DIOyZgX47vnLjAiy4Gy4AKT3OcVjLoBx4oqBe+TmYLMjk2OL0OzQkIzmzeMNDEG/EES+/DXXl6zzo2gyIy3S42WMcfL3BghG0YR/DQPuKulDpwYzD4Mn6anJpgUBIvpwtyy7zpF9ocRscMyDZ23w8PI8+JBN6pgTEwWhWnJ3DSui213B0F7LI7p169+Gm22Z6tvq4u8T5cYVN0b7AB1sjxWgDixhV8ZJqcTiD/HB3D9hDtiMGO8TInIzht4uQiZCgr19yDJAy0TMsx5kZDo2zttuc69/GEr8un5ZvTGNQJJzXQ8Jl+8hljdQlIfxDd5hYH8fDwwbiY42y87oCpPeeql1sf4P0e9Any6uexFW2yJcu1OX3pSHal6ycsOaBlTj9ZqG578iy93Lq0XLoWB/VLXjiCd9EAllMolA9tmPeo9Lb06L/UgZ/ee5sz9f6OPL0ac0bf7DxWL3bsq9iETcrIDMDvQalpg59Ne2PXxavX0NFq2Xu4hi5J1JqLpgGlVij+Rpk7fsXZSjQipoBM6TivyfQCY2U8GR+2AZwUDrvemE+f+b3JNMWzeVVuWugGrGkQnNncaSBB3DAvGPJl1l0vMZlSBz6+1kdarOugSfAmuc02sJDx0+OTo3BbbXqNxoZBMMBAP2ati/Q4dkZahI3MJ0AMWHI8iukSZSNNynbK8sAUOtHK7/IalvHlObnCeWAMtpGjjBjQAmpbUkodcPjpwcSxIVyXTNOYRrJmx3ADmMg7mqOft0heY/lEnoP6ABEyvkbMETc/jUgZl6bxDksPpwF+u1GvaEc7rA14oLg2iJCh7anLowZETP9Z60VrRyPG0QNgj1xkWsRBPXKSgwfkzSKvzUmPmQJOILhHfUfmc73J8Js2py45AcRyRUWN522auLZaPSdanqLLR3p70ivcrKLQKpI8kh7rlaSH5ki+6qV3tUgbrH8vPHhFb/carrfadFLc+kQHfsGa34NRE9/wSFHsalxaDVSvPn21dn28ikrL3MCqtD9Y9sOsubHxANMx7acDFj5hpmB+2GjmHuy7KLJLDgSJkyc8fKeMtzZFeCfjfvvsLaBHyxAP17lPOJeelQO2W87tfkNp+Wzj1IWx/+HwXr79PPp8O7yXnn1YGp4c6ZJ3r8ze9/ppeNdcXTrZcF3SIEZ8EkekTDS7fPplsz/EF5mvaOZe/br0yuUz8UXLc417fl169enljzgaagPiuM3Ih9vAwtlPL7z9iJSJZFcvFsb+O0KW9ojMZ7SMK5tdJw1Ay356bPJeHr0wkTLlVTYjsPvXre8PGjJMrdu0Czw5N5KaOPj5dn6eqcuGhHhVVwSmLgE9wcSOiFFmWqqGDxvmTF0CI+fG0RMAfjF14LfRwK8msPML6IkmD/yyDPxGGvh1aNdeCQH4NYqeAPDzpr29+3rT3sKSUjdFqT+NuT0tsQ9v+gPbHze9iAjXELvpDByWs0v3JWMf9dKqm85EhfWZ6/50DRmIT7t8z/SQs4+69Ph+r7Jxr17Z7I9d8tIzbkgG9uXso14+75Ue7OfTl+H7vWUipq0Rct7U/u4ydXmEI+XsQkMyPjeUHnE1FDaS/bqE+LBL96yTurR8jpBtSI5pL21z/aY37W0TnPBoNDXxDQ/fk/Mwte89UNNXxutgaqFOFXiOQ2E2Hlgcxxsw9l7Y3bGoTMdiU4EFfkwhjuVUOIeSvhzfYTYNeLUl3mBYw2FRGo8bLJzjYZf4j0fJER8L+SywkxadlsX63Aq8l1Q5/3J+WF8O8w0WufEdx4K+732G9PjNe3xJL1LGxZHlyeINmd1awpMeO74suJ/P8/NZXw5m1zQynxWWJjvhTi6cXn0Zz6swcbIbTVjkGG6Ydly3sp3MvV13kbJsBpCHG4XVnsGyybCmRZ4pW0My/KZuyQt17rcbJjLsvrMRRF1H5xMZNrdcXZoc4Vkvo07ZPffa7nYaTsbVkeeRGTk2c9iQIY/Is0PNy9apbzgyPeIgH75pDO1GPrG5pJ5wphqZR7+sXCMveLVhV5m2syw6e0s2rCg3efLzCB/JLNPJ/BptOHVdbfsNU4u2HbUmeHVlo6hpg19qmmLjk9R1xCQ93XOsXvooUZ22pavbfsxJvBdsY/KAg1D8sGGyAhA6S3zrZYDN3LNF6mH3eYk1dmG+HN8xX+DF0Ri9AkB0aAYFu354/PXjx0QlWmbOmUK3awrY0ql5mfju9DJ9bNcH7M9z4XkJNTIuXYun/wHvJeLEzw4sg4j02BXERpGXk/svSvfTw1EmL+hGjpePA2SYTJzNr3R2hchhKkI+fRmf+1k+MLQln9QJBtwYYi+8gGflfOcINTI88qSFd+HFVpeAmduVtva4bIBBXJjI+OUivM+Y4+CQFc/Z1CXgh0sxjIcxt6HeIuX49H8PPVjgduwdSFul8PJxjMXx4kxdUy++DEx7UDaMkTcne77y2Lnl4YfJDP73kPHDI+va0RjHqhhO77F8Ufec7GD3Hblhhwqc3SRt4JcLefJJPrCrpH+xucHDjocF/iKHmhz15qfny/CSenz14Rz3csgzNLcmcOBL+ahn8kRYPz1eWt51X0jvrTmn73QerZc79NLq+A0B+DWCmjD4VYft/Dap4+iP9N2eU/WN8Rv0/Zib+vH6bP0wLt3xj4x/vi7deTPGGeSetLCTSnu67k2vUG/rtD9Zm64fWDjYl/vB6nR9NzbNGbRiwY8ZCeCHVgSIYoP2/dVpdWk4GWNkno7PcDZhmH2g2aCxXDcNa5WBUU/r8M8lZLjw37c0/HRhjHqxCcNRKOYP7BgmF1c5+0Tsy0jHl/HT+3ZMmpXPSw+DYQYsgIvpy5STBc4m7WdWPsL7MjDxYOgMwGH2gVaaa7KYtwAAGOD+ZG1GXXiY9H9qcb2xKUsjD+c7UwwAE8KspKsNzu9ZnUTm0ef/WJnm4uPEBsDOGAU4MWVpY8BIvUWXjd/fM345KcudksimLq0N0NomnyjQe1Y2jLx/vKZ+2fj+bEKmA4vFBuS8J4O0MM+ZboCIh2rCRKZH2X5k8WDo3NeAExMW8smDBE0dYMfT839ZPskTMn6aXl16BuOYAfHSeDRhzG2wYcTIPLKP0beQ+YmlR/vMOB1yZcIEiAclGiGGzxjYkyfC1qUXm6ofrM3Sf847pf/Tbrxe6DTAjQHAL7DzezBq4tNe3uGRqG6m+b3YZ7ze/3ijRh7I0qRTJRp3tNA45BjjU4xysee7VGDTLuuYdDKmHBzvwtPxWGM+HYflxhwJOc++W1Nw1+7Z+WXZANxlGtxcAyTANDK8kzHGSHaFARid2NkH2oBF29lrcksvFrkjaS7NCDl4mqUF8HHyBBCjH2Njhq3eXNMY6/IZITPqsFe+VZdL3OBmAFE+poQbbpa4fOLpObpspD2NfJrc6dwqd+QPgGBKt8zqhBMUGAlHpoU8cXGUC3s3Tj5gLA6hHXHcbJTVWXS54BGWTzQ1jqVh88gQZfrLVI5TF9RbtBy/uY5WiwG3d5bYsw3EnnKOXZ9s+RkfVScw7cZxNOQ4JYMmBphtTi53Gtod6YXrB20xxjR92g5NkxkCTkW3Wb5nW3qjrXzIRsoRD+k5Y2WOt1mVMGVmKkxcxOnqMiKfyFAfuNnHppLlEPJIdWKMjU0fJ4v8+OvkDudpwoli9d14Qb/sNkZvduyltQkbA82vEdTENzxStDpujVvz69xvsBbEJelKTrEyynhnhufFGOZUBuCDxuev3aFVMe3iOmt6vDSG86mOw3IpRSZrAwbthk5Jt6JTo81x3YWLCO9kwp+8u4NzrwxWUAw5NCtODbDGEy0Hcw/QA8BYt0OU406srXGPPLp8Rsi4PNonhrEAEdqpty5W646rIVdXrihZ1s2cHHVCWiaH1sg9BvwdeQzHQZyUxXPc4A02QIIyJ1t+/DqIZOqYT3fWmSoxGbc2ab9Zh0OmITmupZd6Rt/UJYObsuGlGW3chYvOpzHtQ378ZQdk+cQYm3K7No+UCZctzdKi3ljno80pH6DESR3XBtHlMxl+kx79glcBUDjSI8+UDdD146+TC3OmpcfpGpxlIEN18lAg7xyljJa5WVip9LJbOnTxpnoMGqEP2nXS+vhgza8x1MTBz7fzG6g+ffs5j7ZlD+jPj67yIN3FD/9ZMg2Fcb/tT/T1+yFf5kHkGiMDkUcG4L3kGrrPtXvJRZIf/kFkIMK7PMLepQaJe9H3/WufJRdNDxreJydnf+4lG33/s+T8sYY/v6GBM9PPRU8I+PVX3759lJQQr6qKwJlpQE8whY2cM9JSnJFz+wD8Gk1PCPh5npwbo/kFFFBTokDze3j0RIFf4Mb+PsnNqR6Q7zl5C+hRUG14rKUG4Pe5qcmD32oDv4HuBUb+tDc43nZXqq7WrYoK3Sor1a2SYtUWFam2sNA4pJpQQZhD7re7zv1iC1dq4cvLdIvBVVMdBsOAvhTyp72pqRoO+HG2d30Afo2hpg9+q+PUf+Ag9ezTT7Fr45VbVKoK6x8lNezmesxuJjt27Liyg0f3oYuww8kOIPcJh7mHL+P/5h6mbOFNPLfQzi4l8fly0cx1dzrAmPAwaSHH9bul58thF+jvotKXybMvV0/GbvC72PJXamFw9FlTWaXakhLVFOSrOitLVakpqrx2VRUXz6vizGlVnDyh8uNHVX70sMoOH1TZwQPG+1V6cF+Y96vskF07ZPe4f8TCEf7EMVWcOqGKs2dUceGcKi9fVOX1ay7+6sx0VWdnqSYvz4FnjQFmdWmZKsorVWqZKjK8DFneYPRy6h+ihHZLvJ/dtVdVRNkoV/jT1aUFJjyy9tO1m98Gfn1GsqtLY8K5NjcZ5CLrMlqmTi5CxqVpf2gT7rn6Dof1md/cc7vKZNCIduMoX2Q+o2X45F5kHhG3n/Xk6tKzQEUV1XZPunQ9Wf0HD9MHbTtofQB+jaKmDX7481uzXr2HjFTr3kM0cXmCdtwI6VBOtfZmlDvGoegB4+PZlbocwhzBOyUAuGC7x1EtThn44SPl8LXG6QeOLWEWgykCJgmYIGCUShg4UobPA5nl7ugYpzrKLbxveoIcJy8OZd0pB3OdUyeYcGBcSz92dmYuvUrLZ4WFJ12P/d/YBZ7LKlF6Rp6Kr113YFWydbMK42IUWjRf+Z/MVv6cGR7Pnan8j+031z6dYzzX+5xnn5HsX/8EtrAfzzJ5k7U48mZ/pHx47iwVLJyn0IolKlwbq+JNSSrds1MlBpj5p84o9fxVXbySrmPJBdqXWuLqGRs2ygTxgXfmU9YGezMrHe+rY69sMAbU1IkHLp45zhVrS9qUtiVevz7r6tLqBN+BGJfnV3gAg/kKdckpDF8mWg7/exxHw5SGtvba7pazw+OYGX0CJ6WRbcdv1wYmhzmViTi5bEN1bEmRi86j/4mdIyc6kMOtP32M0zaUz5fz0yKdPVaPB7OqtObYNb3fd4RatPtQawNTl0ZR0wU/m8I5I+f4Deoyaqp+2Xuynp2xQW23pKnz3pA7LuUzR4SGHPKOZGF4ChDxJOfcLobFeGtub9whQgbmSFaPvXmKuVriThdgG8gZU45ajTyS74V3R45uy+BanaNMnGSgszq7NuvUAN8mk8PbMcftCBuZHt+5joH0Ft5zYeHpyNgh+kerOObE8Sry22lPvrruzVe/nRmavOGs1qzeoVNLY5WxwMDOACp36kTljB+lnNHDlTN2hHInjVPe9CkOuAoM0AoWfKqCxQsUWrpIoWWLFVq+5DYvW6QCu879ggXzVAAYGmjmzZymvGmTLK6xyhk30os7HH/OxDEuzfxZ05RjoJg892OdnTNP++cs0qaPV2jlvLVatnyL9mw+qOzTpjkm31RhRpYOXMvTlGP56rK/UJ0OFHu8v0id9lkb7ilQu5156rM/X+uvlThbO8CPd2Pg2p/TExxli6x/vy450odhMSdIMMDGBvKGfa62thx2KN/qsn79U6cwpzs4zQHYYO8HAALYcVeLNfhgnusTHCmMlKNNOCLJ6RHAjPYGbAFSjNM5akd6t2W8tLlGGXgtAueb0fKYHVwoqHTl47ijiz9Crv32LHXYla93Ys/qv7qM0+sf9tPaxE3KMvALTng8GDV58ItL2KgPx8zQj/p8pO9O2ajn1iXr5U057niWz69tzDJwy3GW9rgZ56QA4MdZWNyI854EmPc6+DLeOx4y3LE4jlZllRkYWboYKPPCHc7i8k6GF5Oy9HI9mUx3fIqzsbyEhlMC1p+dZ+DYK16HfmuzlxbvjfDliIu0Bh3I1zoboCnMFS1FQBN39B1sELzM+yosTy+sT9MLMVf16vxjaj15g0YOm6eY/uN0YtAwpY0ZaSA3yWlrIQOvwpgVKkpYp5Jtm00r2+WmuOWmmZWfPK7yM6e8aez5c24qW8fnzqj87Gl3v5xp8rEj3hR4/x6V7trh4iremKTi+HUqjF1lgLlUoSUA5Scq+HS2cg1gU6dO0eWx43Rq6Agd7D9UG/oM05qB47VrwkzdXGCAGxer9HXxSlqSqN5TE/Ti+I16ZuouPTPrgJ795JieX3Razy+/qGdirqvFxgz34LLnlmuDs/k1+uh0kXtgvbYxWy9Zvbxo7Ncl9UobADoxBiycCCmzNr9sWtinZ4scmPjh+PTa3HtnCa7ixxwp0DZru6xSDzQBpoXWB9rvyHZ9grbyZLz2Jx7aboi1OSdKADDAb3dauYsLl/X0EY7O+Xn00wU4eSEU3sKZ5iLLAxogxa2+H7+f3gsJ6Xo+KVs/W3xK3+g8UW90G6R1G7YE4NcIauJrfilavXa9eg0boxZ9R2rg4iStOJen9cm8Ja3UHQ6PM40BzYlzrzyVsbh3017rI1j649LcCxsOH8GxV0rcMSM6IwfcIaZADAaADS0C9+y87MaXwQkCMmh9ePRg/YjuiLU/72nAHT33I9NxcsZcJz84CeCUh0vPPpkK43J+zY0yxV0uUuyxNC2L3a0lI2ZpRdte2tSxp06OHKv05ctVtH2bW9OrOH9WlVcuqerGDVWnpak6J1s1+bluLdCty7GZwaZHSYnb0KjPds3du70p4jZD8vNUk5vj4qq2wVadnqaq5BuqvH7VpVVx4byBqYGmAWbJ0aMKHTyovF27lblho66vitWF+Yt0eeZspU2epOzRI5TSr68Ot+6gmOff0pxfvqHZL7fW3Pd7a17vCVo4YYGWLEzU8sSjWncsWWeySmWKmCNA8GiuadIpFVpndbLmutXLNfu0toiDrS2pS87ZUuchd0LH81hDW+JyPrr+/T7gXglgU20eVqyxIccRQ5YxkKNP0Fb15by2A/h8hxSs/THFZmmCOHmz3W2Z27zZtHxmIGiZlpyTZSmAKS9nw12ZIsLHXirS2uvlmrv3st7pM0atOnbX+kQcGwSvrnxQegI2PLwTHvjzWx8fr5JSz9SFTuQ4/J1OQb+I7Bp8ZypbFzaKAUg+I/sT3+vC2G8//mj2ZfioY67bv4bC17GF4+Srfa0jvsM1t2ww5uSoeO9u5cyaoYwBfZTZv5fyZk13a3xVN67rloFZvQw/anKZtT8+1xgYGIhWZ6Sr0rTK0gP7VJSU4KbaeTOnK3vkMGX06qrUTm2V9mE7pXf/0CvXqGHKnjxeuawzLl2oovVrVWJaJ8BeedlA3eKrLipWDW7dreJu153HLht3Y/tTr84b4Mj+Avvt7PeJu3Ek1aVj3335aHZg5T69dCA+nax9RstVVXtj7aY9+IcMGa62bX1TlwD8HpSaPPj5dn59DfwSE+JVWf4k2vmFO7RpX5WHDyg0e7pyh/ZXgU1vy7ZsUPW1y6oN5TszFveSi8eNGJDVNo23tqktLnK7wtXZpjmmpar6pmmmaKinT6rCptVlm2w6vXqFCud/rIJpE5Q7fKCye3dVVu9uyh4xSLnTJiq0aJ5K4tdY+L2qsil6jWmetzLTrX7yXRqqpT8+oSDgymazltQUDQvs/D4XPVngZ5pfxZMIfnT4shJVnDmlwiULlTd+lEKfzFb5vt2qtWmoPyCaPFWU6xbT8vRUVV29rEoDxPIDe1WyMVGFMcvdmmLuR5OVO2a4cob0Nx6g3HEjVTB3hgHmSpXt3aWqSxdUa9NyB4JPIADeCrd1moGfs/MLwK/R9ESA30D/HR6J8ap9DN/h8bm7Y2WFai5fVFHMCrdriwlK+aGDqi0oCAd48ok1ysqrV1S6b4+KVq9yU/3s0cOVZZphzuhhyrUpMvUSil2p4s0b3cZOxcULbm3SGWk/MaDgafbZpjWPGDrUGTkHb29rHD0Ba36rNWDgQPXs09e9wzevuExV1v4lliXfoNQ3JHVGwNZ36B8w6zfs+vJS8Wgj1EhZ3Eq59RlLl09MGbBV841Qo2W45mzSLBFfBo5MryEZ4uM+8fuTV+SrDORCiQnKGmUaz/jRbs2MTQw3lWxGxLS+tqhQNabZVSXfdDvTZUcOud3nwrhVKlj4iYHiR8qbPtmZ5RTY9Ji6Yme7KjND1WXlqqquVblVLhtY0fXvt4Fn5OytI1L/fLJJxr1ImUhGlv5FWJdX+6S93c5v+H5DMvQT9tII69ILf7L5QR+LlsPImb2wS9dTNGDwUPfqynUB+DWKmi742cBPMfCLW7NWvYcMV4ueg9Vv/notPpOr2GtlWnmlVCsvlzhmh44dtyNZ3ovE6Vh0EXymYc8Ve9ULh2NPX4bvyy4Vux02jGLp+BCyGNxiCrHi0t1l2O3FJx6dG0k+2QnEsJUdvMj0+Fx+udjtGrNDeaXAcy4KFRqSn7uYosNTZutsx47KnDjOtL4Dqi0rdfefCPo8A9b6HsfxqlKS3SmU4q2bFVq5XHlzZirHtOScsaOUb0BYvC5O6UdO6PClTMVfszq3PuHVf3Fd+8E4aaVP4PKeNrfmdjv1eIPGyzXOZpdHhCcOmDbnRfb0DQ/EvFce8E4T7EL9sJEyfOcl8OzmYw/KwxLCxyHXNt60fmxhItNbdqFQq66Wasbuy3qr90i917Gb1iUkKSvY8HhgauLgl6I16xPUbfh4/ar7GD01JV6tNqSo7a4C5xrdZ4xS++3Pd/ZyuCSnU9NFeEEMtn/c/2Bbjlob+zKtjbH5whU678LACSYyPH2x5uc9EO9t9eSiZXhHA0bO+wwAC7HzMzns/bDWJ70uu/NceF8WOWy6SAtPyXg7zuDMlxHmOBv3nlNsvzHa9+4HSp8ySVWnT+jWk6j12cBFu6vBtCYv1x2ZY5e4io2R1DDzHU5PCx+ry3SaYE22aYN2veLiRZUdPqSiDYnOkDtnzAjl9OupnAG9dWrsRC2eu1b9Y0+qzcZUV+9trO399oN77PHeo0JbeQbqnm1nggEfNpi07/tRbU47+m3HyRKeWwAZgAlYDjA5wka2t0vbmHt44ea1BWj9ECZSPJAHHvT6SWR672/J1Hvb8/TqqjP6btfxatG1v9YnbQ7ArxHUhKe94RMe670XGD3Vc7xemJ6oDlvS3Ate6Iw+d9+d64yOeZkMNlUYrvJ0BvxmWkcnjP+yHF+G71jU846P1VeL3VMcsxhcsGPPhet0rO+jZXi5De/p4CQHRq7uiW4DKMPkcUc//VTIxYmRdLQs7+Hg3Q088VNLPNDMKq7Sjp0ntb7XcB1s0UoZ06ao6txpPSmbHAzWW2hvpaWqybCp28Xz7lxxyY5tKmajY32cm9IWxq5wBtuFMSvt+0q37le0drWKEtaqeEOCSjZvcFqfM8DessnAL0GFFiafTZJRQ5XetpVOvvG6Ytr31thJq9Rj7QV9aO374d58rw2sPdxLpOwhiZt+jg/irRpAwpty4o0y90Kh6BcYwfzutTdX06xtsc8D/HxjZVzpDz5oadgDz29vPv3v9MulF0vcKwh4rwzYhVE2r0HgRIkLH5Fepx3Z6rS7QC1Wn9P3uk/UW10HaJ0Dv2Da+6DUpMHvJmd718ar19DRatFnuAYvTlTshTwlpVa46Qu83pgjTltNmzpiHZOpJ2s6gB+vNcQIlXAYQvsyPvNWLQxNT+V5bynjaY6RM0bIOwzYGpbx0mP6yplg1mw8A9taXbDpLMBJnOssTLQsU/OdJsdrNvMqvCkXjgGunzyvk6PG6kLrD5Q9fYozJH4SwI+pO5sYJdu3ujPCeVMnKXfiGOVMMB4/2jueN3akd3yOT7S4ut/GHLFzbOGMc00m12TZFGIDhM9siyOzbw+ltnxTV95+Xcf6DdTO5fFKOpZsdW7T3JvlXv3THsYb7MED8HGkzX+dAA8w2oS36rE0Ed3u/KbtWNLAnT19yz/SeDgL4+gyrW+gvembaPksx6SYHDMSHpQ8aDHIx6iaMJEya64UKcHy/On+K3qr7xi16NhdaxOCt7c1hpr0hsdN3tsbt0b9Bw1Wj779FLMuXrnFpWK/l/dncIyNc7xY6nNGk/cr+Kc7vA4qB4R4EyFsQ4xDg3KTc5sQYRnW70rtWrH9IP47ZIyJl7CkxXlUt/BtP8gDi+3RMi6fdr3UwrgFd/LoFVWVqSnuyFha5/bKNYAoO3ncpr1V4btNl/A0U7BovrKGDlRGlw5KN8606SmAljttsvLmzlTBvI8VWjhfoSULPV7K5wLv3LEBZsH8jz3nCzhsmDVdeR9NcWeMPfAb6wEpgGlx5n08S6GtW1R07bqKS8q8ujfA8evf7yu0AW1Fu9HmAJLrJw20m89+m9t/R8wS0BqJi/amr0TLkB79ko0NwtJHSMsuebLIRcmEyqvchg1eXfoNGqb327RzL+vPCMDvgalJg199O7/79+f3qLvH503vVnaWihbPV2bPLjagx7tTEkwTmzTdsoGdsE4Z3Toqa1BfB2glO7e5o3GYqKARVt647nZ1q+whV5Wa6nEan/w2Tkn27t+84U63VF276sldueS53LoU5sv2+9oVt1Z4qzBkHbmSDHj5eIyIHN0Tu255Yy3DGTkPVVtMXeKD3d7G0BMEfp4n5yfRyLk2VKCSTUnKNQ0m16Z3RevXqNoAoUlrfzZIixPWKr1TW2X27upcYlVnZoRvBnQ3ijRy5oRH8A6PxtMTAn6ekTOaX/WT6Mm5sly1Vy6qbM0qFU4dr6K5M1SxZ6dqsjK9OVkTJZwvMFXN6N5J2cMHu02KqutXnbMFNkECaoDCnpwzTYsdPmyo2rVrF4BfI+mRg9/DahoP/FIM/FY7za9f394e+N3nCY+G+giX3HX+GDeUV3c7zL5ThHuRiy78/X7JT8Mj+wYAGliULV+k0PhRKpw3151iqCkosPgjYo/8/pgTLvIxS8HBQWb/3u6kBkfYSndud9PUW9FTe9oEDv+8XyJ8Y2ul8XIPLunyeS+xCPAbNnSI2rRpG5zwaCQ9RPC7pZrqSpXaU7vIOnVJSalxiYqLClVcXKKy8gpVmnxFebmFKbZrFsY6d0mphS8qclxaVq5q02Tup/kc+GHqgkuroaPUsvdQDVmcoNgL+UpKYQevzNtRu17qbLS22TU8/7IbxwIzi8o5ZbU6nVflGOPncitGdN+pqSpXWWmxysutY4WvecTiNi+mrnFeltnt83cMk26UaX9muW4Wez7aSIsNGAxn8SG4MdnyZuEidw3Z1WOncU9GufP+y4vSSY/d5fOhau3IrNKaU5mKXblNCYMn6GCvfrr+0QwV7t+n6vx8L0tNkGoKQio7dlSFGCazWYHTVfvERi9v3Vql7N6vy2euKiO3SEzy6Wm59uVMfpXbGaeuo3dSXV3adXbWMWfCJRUbGOza8ntHarlzQVVPxn7Dm6wNDlgb4QGaNmODDI/fmKJssT605mqUZQDtaEzb4Qoro9Tb7WXzgr7Gri2WBtHpwaS3zfJyOrdS2SZHHukreHUmvW2pXtki01tzpVgJFt+8A1f1dp9RatGhm9bGJwXg1wj6/OB37ZoBFqhRo8qSkLLTburS+TM6fvyYDh46pMNHj+vMhStKz85XUUmZCgvylZ58VRfPntSJY0d06PBhHT52XOcuWpisPJVUVLkds3s1obPzS01TXOJGdR49XT/oNVnfmpikn8cl66nEHP1qfUYdP5eYofe35mjisZD2plU4sxOOmOEefeqpQk0zxusu7sNJFyOTyooyFeRkKvnaZV04f06XL19TWnqm8rKzlJ+dbeBdah31llIM4KadDLk0frk+XT9fl+6cTvbbl+cs+3mLP50a324MygEH8/XqxkyXr1+sQybM9v3VDVnO1g8bL4xeGUScGFhwoVhtduZZmHQ9Nf+kWg9ZrmntBmt75166+dF0lezboxrLl1WKVzlNiJyNnz0kq9PT3TtCipMSnIv8zMEDdK1bF+3uOVCx4z/W/o37VJiWoQrrQ6eyy519Js5MX0zM0lPxEfVoTN2+kpSlbnvynEdkjI09f4pV+vhskdpsy9FT4Tr3w//K4uDaGxuznDFzooEOpirs4uK/8dNzRWplfeina2nj230LedrxFWs7bAR9Z6aYOGHuNOZogd7ZnK2nyWNUe3MNw+eZp0I6YSBJHukrGOLjTRqDaspWL721afplQpZ+sPC0vtZpol7uMkhxSZsd+AXOTB+MHoLmFwY/g4yq0gLlpJzV3s0xmjl5tPoNGKpR0+ZpzZb9upKao+KyCpUWFuj6uaPaGrdIH40dpiGDh2nSrAWK33lIV9JyDPw8j8n3IufJ2cBvtTV8p7Gz9L0+M/Qfkzbpp7E3rXPkOBCCf2H8TEKG86Y7ycBvX7oHfpggHDLAG3885CzzD2LRX86pCeuApfk6e3Cb1i75VAsXL9OK2DVavWq5FsydraljJ+rTOUt0xLQRXhoEqE0x8CMNOulP1nqefvuGwQ+tA7MFvAhj8NrdwA0vvuTNG0jp+hls31+2Advb7q+ypzt2ZkxwiP+T8MD7+fpMPbX6pt5ZdEJDJq7Wqr5jdLJ7T2WOH6OSjZz3Ta0PgE1sIDDNrU5NVtnRIwrFr1PajI90oldf7WjTSUe79lL2nFkq2LlT+09e15gD2Xp3S5aeduDj1WNdXRq/ZG3QbU+uq3O0PR5sgODM00VqaX3BhQ3Xv8/Eg9dvwI+jbOmmuWFqwlGzOSbXwkDsx2vSrY3rp0c74gW6/z4f/GSgecs5oMVT+GsGjADXz6Pam4clJ3tmna4PfmiL448V6E3LC8Dq9xMnuybN+kGWvrfglL7aYZxe6jxAqxM3BeDXCHqI4GewUW1T2oLr2r9pofp1eldPP/eqPug9TksT9+pGVkhVNqVlGplx+Zg2L56kPh+8qVdeeksfDp6sldsO66ZNbQCK+yHPjX2KYtcnqvuIiXqt33h1XbBRc47nmKZUqnkGGDytYY61cb6X87ZoUkxFmc7ctO870sps+lSmm6EKFdsUvDwvWddPbNfiWZM0zKbTMxesVPymLUpcF6NPP5qgju++r9Ytuig2aZ8KrNi5BqR0eNL49FyxPjlb7E6ScEoDY2g37bUOycuMMKjmXC/aiJ+3OjaNZKkNVOQYbPlhLZSpGlNlznUSZsHZkBafK1Ts0VTtjt+pi5OnKX1gX+WOHeFOQJSbxs2RMLwxP5a+/Xxi7arWpvbWjresX7nXYvJaTXz+lZeruqBAZZcuKZQY7+z2snp3d379MsaN1vFPlyhu9U4t2HFBnx7N0qdnCu6oT0CPpQheNIXRMO2AF28MmF1dRoWH6TOczcbwmLYD+AAjXmZE2620e2iOuJ2PlOM36TFl5mgaXRibP0CXPNDe813/qC/H6xHwCs2Lq7yXXTHttX5pcWxO9uTmWZ+KlPnkTEjzL5Rowo6LeqnnSL3VvqvWJHjT3gD8Howe0ppf+JypVXxtTZEuHNug0f066M03W6rnqNlK2HNKOUX+RoRpXekXdDzhE43t0V4tW3ZU/wnzteHIBeWUVdYZ9t6L/N3e1avXqN+gIerWd6CWr01QWkGJAwy0O9ZOfOawOOdyAT36B12E6Qkd3HXyyiqVF+Up88QWbZ8/UgNNax04Y432nb6ugsJChQrylJ1+Ras+nqshXXhpzE7lVHreXXA176eTa8waEQapALkl4dIiXdbvyAf3I/PmM3nmVIEbBOE+zEBiCkWZvHA1BoyeS/ai/EIVnzql0Iplyhk5VFkDejtnn8WJ65zHE9zOP25ngMmP8+zM2d0sG7C4wsd+LyVZ1XBqitNgq9JwkX/Ts9k7cVSlG5Ocg4L0Xl11rc37ujJwoG6ujFHG2YvKyS/26iZcR64NwnXpP3xoB4CFPnC7Lu9k5IqtfgE96p6+Qj9Bk0OOuGE/vP/bpWdhCEvTkR4AiDYXGX800x/8U0DIIEtfof80FD67hPXgWp2+elN9hgxT63YdtC7Y7W0UPVzwc1Sl6+d3acqw7vrgg/YaMnWRth25pMKy22Gq867p0vZl+mhwT7Xv0EvDZ6zQ9lPXVFB5/wPVB7/YmBgN7N9f/fv01ubE9ZZ8I01daqtVVZyrm3tXK2Z0e733Xnu1G7lMO07csIEQDmN048QhJc2fp0MHj9tg86zxv1SqsGnWlcsq2ZCg/BnTlIOjz4lj3emH4k0bnDsnAIV3cXyZZjG3ysocqJWfOu7c0RdtSlJR/Fp3PpdXbHJe1zFndsPndjGCLt6ywZ3XLbK2zft0jjIH9lHaGy8o68VfKtS9g6rXrpIyki2Fx1jLfajklTM3I1WjhmPnF5i6NJa+APAr19Wz2zVpSFe9a1PEXiNnaPXmA7qWkqmCkGlQ+bnKuHREB+LmaEzPTvqgdXcNnb5MW09csaenTX/CsdyL6sAvbOTcJ2zkXN5YI2cDv5ryQmWe2amkOYPVrsUbeuaNDuo/brbWbduvCzczVFBSroK0ZGWeO6GcjAzTIr5UPDFEscSx+K8yjbkgX5XnzrlD/ryXN9cA0Dn4tO9Fa2JVtm+PKp1zzwznSv6RaIRoXAa6aHBlB/YZuK1y7/rNM5DO5TWYM6d77wD23ynM+zrsvjuqZszxtry53nuCcV6Kj77cKROU0a2zUl55TqlvvqJ8mxJXnjvj6qA5UG3YyDk1bOQceHJuPH0x4HduhyYa+L352htq022IPpq/Utt279fRY8d17Mgh7dts2tXMEerVppXeadlFQwz8tp282ijw852Z9unT1zpBvMruBX6WQINpGJDcqi5TWc5VndsVo8mDPtTzTz+lnzz9slp17qdpn67Q5r0ndC05TSWFIVXbYGOqwvnPz8o0tz7jdoP0oOF9Yt0M107lp0+611XmGaA4BwBjRih3+mT3KkvAsez4ETfNBJjqQLDeoInKQUMDimvhy+7D/eYbn1aXVj/VlpeyY0cUWrVcORNGK2tQP+d9mRegh1YuU2HCes8Ty+4dKt23W6W8GvPAXuetuWT3ThVv3+pehE5ZAPDCVSsUWrLIgScvPsoeMVSFK5e6I22sGzZEXt7Cnw9A0eE/r/w9KZzHe8nR7yHAb+iwYWpr4Lc+AL9G0RcEfjvD4Pe6PvhwoKZ+skybtu9xpi+HTAPYlbRKy6cPVc/WrfT2QwC/gQP7q59Nezfd57S34TRu2Zi1clSXqDDrmg5sjtXkEX31wbtv6blnn9VLrxiQf9hXEz9ZoR1HzysnhKmLBWdh6B6EMXRjumRju7EDQRscVYf2qzJhjSqWLVT5gjkq+2Smyj6eobJ5s1SxeJ4q41aqattGVR095M7CsgbnnRluRMrWB2p5tSVnaA8fUNWG9ZbuApXOna6SKeOMx1r6s1RqU91Su19+/pwqb95QTVaGVJAnFYdkTxWP+R6ya7lZUlaajfQb0rXLqjx71oD7mMoPH3Jp1B45KF254IX/rGmvFedRK+iNSY/nKPzZ5AXIzUjTiGFD1KZ1m8CTcyPpCwC/Cpv27tSkod3U4u2W6jpwopas26ZTF64qJTVVqSk3dOX4Lm1bNlXDunZQqw+6uWnvtpONmPay27tmrfoOGaYOfQdrdkyCTmYU6WpxtXvrvcdVzmgY91Jpdh3nolXWM8EsFrEzS6udgXNxZY2qLM5aY5wjhHIzdOX0YW1es0QThnRXi1ef0c9/9mP9/Pk39OGQqUrYd8b52issr3YmEZdCVc4e7Hx+paVX6Qya2dhwaVmPxnsH72ZlJ4+dRJc3C1uXT/tOHNctn1kWDo8eDCAWv7EVxPSFstyWIQ4/vSolF9c4X4P238pxS4WllUrLDunS1XSdPnFJJ3Yd0dE1G3Vw9kLtHTZWu7v01v7O3XW6b38lT5qg/EXz3Rpb6d5dqjx1XFVXLqnapqs1aamqsalyTVaW0yod8x238GxMGIBVXrqgsiOHVbAhSanzF+jC6LE60rWn9nbspj0DhuvAjHk6sm6rTh85p5SUHJWWlKm2wjRnG6y5JRW6ll+h87nlxnz6bL9zSnU+u1RX7DOnsEyVZRWqKStTYWGpUnKKdTmzSBfs/oW88nCd3K4b6oQ6wxksG1LW1M62kza4bm3A/Xr1D9tvTJJoIzYXfGN4NiToI1cKvfqGG5LDLIlNLfowmyxsTHCNew2lRz+5GrJ+af3H65feJgubMuz+YusZLXfO6uWylWvnuRvqPGiU3uvQResCI+dG0RcDfmd2aLKBX6tWrdVv7Fwl7D6hjLwiVVjjVFaUKpRyRicS52li365q07ZH49b8bLoG+K1OSNKHo6fp5/2m6VczNum9jalqtytPbXfkOMZTL56a++7P19yzhTqSVeE6KLt5nPiYfbrQmZCcsQFXXF6lCk6dhCyvZaWmRBYrP/OmzhzZo7glszWqb2s9/4vv6we/ekU9pq3Q/qt5ulFQ4bz1tt+VG/bqm60OO3M0/HC+8+MGANIf6eAJ10uc0StOM13eLLyfxzbbs51TTBxm8oJrBiB1gXkGdn/9D+TXk/HlWm01OUt76slCHcgsdzueuL4/mVetxZdKNfBgvtpvzdAH8Tf0/oozajl7j94evU5v956vDl2ma2LXsdrWf7hShg1W3uC+yujX070LmLO2eVMMFD+erYLFC51reNbs2JBgGhtaukgFdo8wOcMGKrlXd53s0k0bOvTU7PYD1afjOL3Xfa7eGbFa787arbdXnlf7LRlafqVUWZWe/mK4oF0ZFRp5NKTWO6z+jNsYt7V6gNsYv789V1325mv1tTIZDji6UFirTy6Wqs/BQnXYbfVC+Ig6gXE6OuBAnpZdLHYPFYCPB9LySyXqF/asTHv5co7td/c9uZpyIuQcz2YYcGLkfMXAJuayye3Pc3Z5H0TJtba2o03HHQs5syRO/rDTT3tMs3bp2lB7h2VxbDv3TKGOW78EbDFwOpdXaX2yUD0sL4SLzGfrrZku/ddizuo7vabprd4jtH7jVufM9POauiAL19bag/ce7IdtTHj4caAvAPwqdd2mvf5u7+ApC7X18AWFInd7c6/q4ralmj7I2+0d9tEKN+1lt/d+q6UO/JI2quPYmfqvPjP1jYmb9INV1/WT9dnO2NjnX6zP0FubsjXWgAeHk5gRAH7YfA07lK/RRwp0KL1U+YXFyr56UVcO7bWZ1nVVRGSmrDBHl45t04S+bfSTH/5Yv7DB/cmOqzqVXuxc0/9ifaZ+uCZDP4hLc1b5XazDczQJ0xSIgYcdH954n0nIdPn6sYV3n8Y/WpOmZ+Iz3UDhhAfgB/EeEDwLv72ZMqXXyfhy312d7tJjYDJgAT8Meg/aYJp6qkgtw8bRP15raa4x+ZgU/Wj5Vf1o4Tm9OO+Y+s3bpaRliUpftUp58z7WpXHjdXTAEB3uPUCnBgzWxWHDdH30KKWOG6OMCeOUOWGsMsaPVea40cp2DkaHK2fUEF0YNlzrBk3Q5CFz1Gt8rN6ctUe/XHBWP1pmacUk69sx3smE2Wc9r9gQIM2xsA4GXj+0vP3IykaZ6sq3LkPfj0vXc4mZ9uAqMg0YaJBO5lZq3PGQa1OMgP3wfp38yPgZqxMAcMH5IqdpY3aCFjXdwOitzVmWlpdepOxP7DeG5riWx8iZB0+p5REwAqBoA/JDO0fKEdezCRnOqJojaZjU0L9oj0EGwBi1Ey6yvf1yvmVxTrayHM828DMZSsj3MUfyLS+0G/FHpLU61fpYhv7j0xP62odT9Gav4Q8F/ACo6uoapz2Wl5d/JldUVLhw4AGf/G4onM+R4UmDtB4HesjgR8WX6cqprZowuItatmyt/uM/1cb9Z5VXXOEFseYtz7qkM5sWalK/LmrdupsGT12izccvG1A86LQXN/YJ6j58vF7uNUZtPk7SuINZmnamRJNPFDpX8jzFPzoV0iIbBDutM6bY05yOSQcFkDAqRkO7mm/gl5enK3s3a+f8KdppUzimVdgAuqeVNVh5aaHiF89Wq9de0TMdx2tK0kWdNvDjrCiDapJ14gn29OdoEsatuCMnLfojtmB4kkaDmGlgSd5wWe9/cspkjg2wxJs21bNpDjZqENOv3ekVziCWspAGMj7jTn+6xce5T3+QOwPuohrtTKvQwgvFTiucRH0cJ13yWaCJR/M140S+Ys8X6GxaoUoN+EsLCnX5Rpb2HL+mbTtO6EDSLp1eu0FXY9cqdVWMMlesUNby5cqKiVHuunUq3LbFvT0Nf3nJ11K1/kS6Zh1M04zDWZp61DSoY/kuv5Ms3bFHvWOEe+2BQx6hCssnhsBoY5SfcF67hfNpPNGuzTlTpL1WB2jsiKJFcyYWw3LqfYoLX78uASsAjKki9ndMQ5m60lbzzxXVhfXlYOr3Y0sLOeqS6a79V6b1GQzZMYKeYHETf6Qc8dDmaOxXTI48MoUljg0W18emxbm2iwgPcw3j6KP2oOIsN3lEa+RYHadDPrYyAIyRbT7xaJ4mnyrWwI3n9WyXoWrR7kP3AqPMz/EOD2QqKiqVk5Nr4/mazpw5q1OnTun06dMPhc+ePatLly4rxcZrYWGRAWCksvTl0UMAv9snPG7VVKi6IlvH98VpSPcP9PIrb6nz4KmK3XJYqbnFFs6eLlUVyrt+UntjPtKQTu/pjTc/UI+Rs7R2z0mlh0pcp7kf8jY8Ur01v8FD1bH3QM2pW/Or0YX8amNvXYxOiCbF2hlGr5inkAzfs+0a7uwLyypUlJ+rSzvWaP3Enpo1aYKWbdiv4+evKzU1Tenp6UpNua6V8+eoU9u26jVhkdYeT1dyQbkbVJcLvDU5BvOVULWyLF48QJMOjAKIIWyq5c2FdeuDrOeEP02WNSrywztGWGuiJvw1P9YC/fhduSJk0Wg4uVJocgw80mPgsnaIHPdvyxFPtc4X1OhSUa1SykwDoz6NmVXmGd8sl67ZdD4ls0BZyRnKv35TRVeuqfTyZY+tzctuJqsyO8sZLIPu9ldXbTp7wr6YwqmzoVqdD1k7uLJWm/bk5ZPyMcApG/nECJiHEPlrqGx8Ui88BKgTysdaLWW7YdcvWZzUS7QM5XbtbW3g1wnTStb8bthDqX6d3GbaDo2Ph16kHNoq68Z3yyegx9ovbWcirozMMFhTjm4DPw6/3QB10oFJk35J+dw6bzisnxZrflesD+08e10f9h2kVh+0/dwbHsiEQiEdPXpUS5cu06RJkzV69BiNHTtO42wmEMlj7NrIkaM0aNAg9evXTwMGDNSIESPdvfHjJ2hsRFjk4QkTJmjO3LlKTErStWvXn0Tws6dkeUiF2Re1e9MSDevdUW++874+HDRJSxJ263JqrkpNsystCunGmQPasGSqhnRpq1at2qvXiGlauXm/rqTnqqzS82ZyL/LAz3dp5Zm6sOVfVubt9vqdCf3Jj49Pp8W5L+5SHTGNLre83TyyVZvmjtTUMcM0YfYirVyTpM1bt2nr5k3aEB+n2R99pLGTZmjdziO6acDHYjpavB8l6d1O0/7y39i/5nNd/sLMNZ+iw0N8uri5dxdm4CDrOCJs5PdItv91xHc/7z5zzdUXazZOyK66wnrfGxpoLh5u34XJow9+/CEdH2Qa4ugkXNIR97jt8ht13Sf/fnQ8UKRMHXPdv2efLo3I+3dh+1+PqBv/uovDPj9Lhu9+WtHXI2V8RSMlJUVDhg5V64fw0nJkCgsLdfz4ca0w7X7atGkOyCZOnGg8yfGkSZM0efIUB2bY1L7x1lv65a9+pZdffkU9evRw4adMmaIJ4fAeIz9RkyZP1ief2gxw0ybduHHzCZr2XrvmTXudV5c8Zd88pwM71mvB3I80cuxETZmzROu3H/QcG5SWq6ggT9fOHtX2+BWaN2OKVc4UzZq/XEm7DutKSpZKDCBp5HuRb+oS6cn5ft3YN0R4F6kqK1HOtXM6tXWtkmKWatnKlVpu072Y1XGKjVmlVUuXalXsOm0/cEop2SFVWadh4AYU0COjsD+/jLQUDR/28IycGU+4lUtPzzCAumEa2rU7GOBiGhsTE6uu3brphRdfVFubBS1YsMABJ2HAg2i569evO0uP3NxctwbY2Dw+bHoI4Bde87NGqa4sVVFeplJvXNbZM6d0+OgxHT15VpevW8ELS9z52bLSEuVmpevGlfM6e+qEVdoJnTx9XldvWJgCdoRN82sU+PVRUmK8ahrrydnyX2vlKy8sUH5aslKvXtLF86x9nNSJkyd18sRxnbAGvnj5urPxc8bNiLm/jxk9lpm6TX72HvNsPqZt62l+ODMd4cCP422Pzs6PdGJiYtTi3Xf1rW99Wy+++JJmzJzp1vUAtqZED3XDg8kMx2+wlQOcmNtXV1W777UGFt79WvfbXasLZ5/hXaD7bTzknJEz4Ne/v7r37KVlq9cpOb9EoSrWaGrdOg1rPLiVwubKX+8jBRitzd8guH3VTXbCbB2NzlZr5aiucvm0TIbv3SZs8lhfIr2s0hq3w+sv6kcTGyCs/RE2mnFWwPqSn0eIrJHvkMlQjmgZ0qOMrJ1VWji/+pAjLXZ+G5KDue67UQpjuSPiwMSD+6w91cnYb8pZVHmnxstaLbZqOIiNTMNnP5+sRUY2MfEg15CMz9QnctFpkm9sG/2695k8s4Fgz9F6ZFG4eOgLlCVSBiYe2oD1PmwlfeIrdpr5Dcj47OrS5Ly+ZGQflJN1SpZGovMI++0WWfc+kSabXoSLbIOMYjz+3NLJyzfVZ8AgZ+T8KDw5Ey8OiPft2+dOVH3j3/5N/+MP/0h/9/f/oFbvvadly5c5De9xWc+7H3pI4BfVyx4BOfBLSVFcXJz6DBysll37qv+ncVp0Jlex1yu04nKxx5eKFXOlxJlU8BLpuoVzY0wnTtg1XjTNhkgoDD42NtzrAfm0fiaaM7JLMYgqLAIGPIMMey7Swh3S0otF4n2wp3I9v4HsKnvu7j0PHycsLZyaEh77QPcZlsVj7+HMCmeYy2YJxEDEqy870jFXvLCwXz7So3zsRmLETXq+HBs9eLDmPvXgy7g07TfulLjPQr63K+15qGEDAi/JuH4iXy58mFcZsxN5LeTJUC5qh00fTDtIJzqP8OIL5LPYlcXPI0Qb7Ewtd/lxHCHDd79e8HbMRgfpsdwAEOCAdt31EsunJxspg+dkPGzzEASQyCbtwTW8P/th/bRg4kEOP4/ppVaXrmyAkLcrveFmqYvbT8tn4uF9vrutDXjBOcVDlAcWGzJbk2/3Dz+8nzZenlOsvqkT1kIpH5s0bIRQLysu3W4DF8eFQq28Wq4Zuy7pzW5seLQ38Pvij7cR96VLlzR37lw33f2z//nn+vXf+E39v//fH+jb3/mO+tvsa+euXW7jpKlQ0wU/e8Ikp6YqLnGTOo/+SN/vNUXfHJ+kH666oZ/GezZxPmML9raz88OZabnrlIDc/oxyZ9P1pt3D1gyDU37DGBVjGD3scIHWXi9zgxvQS7POjVv8CccLXLheJvPWpiyXDo4usfN7Nj5DvffmOjMHnu6AJJb+a68Wu+vPOzs/7My8/P04/B37P+z8GFxXC1n79OQwlWi5Nds5wPRlfP7eas+uEDu/bSllTktCk8KYe8YpvAHneLZwUXJeehkuPcqDMXaByeJHbuihfL2ywbNNi04Px5o45xx6sMClF3LqFV6xK5yd2w/jvHqgTJFy34lJ1S/WpzuTEHbXgXYeBhstbezxsPOLlvPrE0eh+LIDyKhLgBDv2Rh44xDUhY/IJ3LPWl12tjbFHAbTIR4G7JbiAfrdLTkWDru72zI+v2xlo10xOfJ3fXlhOX783tmc5fITXSf8fs7S67k3z73Mnjyire+whwHG7njoJpyfHmWEqUu8PFMWHJiiOfJAOZ1XYfkM6V1Lj3xSN35aP16dqh+uzdS35p3SVztN1Ktdh2ht0paHYuTcEBEf4xtwRcNsa9Psf/zqP+m3fvt39P/7f/6bA8A/+dM/089/8UtNnjJV586d+1LwoDHUxMEvTas3blf7ifP1rYHz9fVJ2/XtFTf0vbgMfTc2zWMDBwYk7s5xM85gc9Mv62hbU0qdVf9/xqTpO7EASbozYoW/Z/xtkwc4sN3jGBJW+2gAk08UOAPU77j4LWw4rf8yxpiX9FpYx8W2MLWk2k2BT5omiBwD6KfWoQn7HQvry/2XfWdwvG1AOu1UyA1wtAHMJKbbb8DIj98vG7//Y1WqkwPEEk0Lwtwi0xjtDBADOCjPf1n5IuWIB8/AHXfmOGNsNCm0DU674M34W3YfGcL6ct8lDisvdYJn7AWmzWWWeYbpaEu4lf+PVV656sul6RsrUgw40p2HYo6XWZW4BwonMKgT0ouWo06+ZaD5dLxn5EweAQecjbYzwKTctFF0WjBpvWCANMLABye2TDtP51Y5mznAiPaul56Vi/LicRlDdDQuzF6YzgLs2OXxegLyE90G5P1n1qYdrfxb7IFAP+EBhJbMiRD6A/3QT4tPmH4DaPLQxbaQPDIt35VWpj77ci0vXn37/cTJrkpxef/Gp6f1t11n6cU+4xRnY+CLAj+ItbwLFy7o00/n6c233tY/fe3r+oP/8Yem9f13N/X9i//1v/Xd731fffv11549e5rM2l+TnvbeTElVTPwGdRs1RW8NnKQBy7Zq1QV7ats0g2kIvNamoP6LafDGy4tpWM+ig3J6Au2F6c4qm+JFM9M+4mB6lWedmSc6A3Zfepm7zgDBaDnOppV+enHGGBxvtXgBSp7mgB9TSTp1guWFaa8f3ue1xky5AK3jORXKMlBB0yysMOBkqmaaCNNUOFIOD9Wkx5TLe+mO58STqSynWRJtise0kRfvRMqRT95TATAw5UfDAVzQhpleLb1g001e1hMh47+8x88nAB0yOTRU7Nm22zSN+ohMx2em3sgCJEw/AT/yimt54iI/DcnBvPAJrY11N+ryfF6Vyxsasp9eZD5pc9JCo6UOKB9aJm2HRowBOvVWL00LT5zI7Dbt7WJ+tcsn67mcs0UzQ5NHJjqv/KZO3NKDhaXdOJ/LMku8PZBIy+UpSo5rTKWRY4mCPDIjwb4PgCde99KiCJm4y0WKv1muTw5c1et9x+nNjj0VZ2Pgi5z2lpaW6vz5C4pdvVpDhg3TO++00Le//R39wz9+Vf/2zX/Xs88953Z/58yZoyNHjrgXlzUFauLgl6KYOM+Tc+/+A5WQmHRPUxfDrzDXX3i/F/kyeHEBOP3d3nsR0zs0OKZBgG7ketddydIhLRfU5/sgykN6AAvrR3X2dPdByAAsGNwChPfnrcZb//Tq8v7qkxwRNWHJ631Wo0cWlvpDOyKPtMO9CujazGRY5+WTduPavcjlr4698t0vEZL1QrRUb13Uu/5ZRFGsSC6PPGTdxldDcmEbufS0VA0ZPEQftG6tdevWK+MLBD/izcrK1sWLF7Vn714tWrRYHTp21C9/9ZTeadFC0z+arl27d+vMmTPKyMhwx9maAjXtDY8oO7/EhHhVNtaZaUABNQUKOzNNr3Nm+mg8ORMv1hi8hvbo0WMaM3asA77effpo+44d7rW0D2Kt8TjQEwB+MQZ+/Z2dX2J8vCoC8AvoCaZbYfBLA/xsCtr+EXtyxtzr7NlzmjhpkjNxwexl/4ED4btNi54gza+PNpjmV1N5f4utjekiyDRW7lFSY9NrKvl8lPQo80ha90wvfMIjy6a9nPBoy/G2Rwh+paVl7mDC2HHjnKEzR90wcfGP3TUlauLgl6LY1XHqP3CQevTuq5i18couLHU2erhLYgEZZn2IdSLWtFhT8dZxWJfx1rmwH/PDRjNrYJ7h8W051mSIj40FuEEZi9ez2/JkWL8hbeJiMTxahni4ztog8RPe/jtmbculZ+WIlnOy4fJhz0Za9H/76fKAS6aG8giXuA0EC2vs5dGrH5cecg2k59clHln8OrH/zjGCv2YYLRPJ3lqWtxZJPsnzZ9U/eSe9qnAekaFukKOuio0bKh9xkhbGyn6bI2fZd7797laX5N+vS8K79EyGtbvPKltdP0GAshmzzojc3drgdrt5YUnPz6dfvmi5grIqlVnYi9eT1W/QUH3Qpt0j9eQcgN/jAn64tFqzVr2tE7Tq1l+DF6zVyvN5ik+uUNy12ztz7PZuTyl378PFdMHfsMDN1LGcCmf0SvjVV5Hx5NhVZZeO3dmzJsdOI92Kjsmu6N6Mci/+iHSQYVeT3cTjOZXOpAYzOG8QeG6tMLLFjRbpxIZlYOR5yfmx7Ern0ogBAwGIeP/AFRM7f35aPmM4vM7yyC4tcqSHJG6c2EHclebL1S/b6mtePtkBZzcU4AJ0sffDgzA7kMjVz6O3U41rMLyYMDCRgTBWJi52WSPL5PNKyye7m2fzK21gW4WECfMO0vJlIuX87+zUX8yvcnUCkAEKmPSwc8tuKbu0kfLwJrtOXWMwDsAgx8kOduDZlXb5tPz4aVA2drM3WFrs7rNrC3BRmRh+43WZHVjqmzrx8+jXK3WJI1NsA6kSNknYLabtdpGehfXT8vNIfWBMjukPYO0/9HjAsHNP25Gn23k0uctFWsdu777Lzsj5nQ/aae06wC/rCzN1iaQA/B4j8IuLT1TXERP1i+5j9fPJCXozMUXvbs/XO1uyHLcwfm9rtrOlwrEl5hk8pQHAUzY48KmGLRaOKuEWW7Kd3NvGb2zMcnaAWNgzSOlWdGiAaPDBfGfc7Ml4aUXK4HvtgA0GntZ0aI597UmvcOlhUE06ONVExrHFhbEvdmiY3+BFGOKF2QBqX8t/S5MhnF8u5F7bmOnyP/F4gQ4YAGJfhgaCmydMdfofyHPlf2dT/bKRdtsd2Rp9tMC9tJ18ArT4lsNvXc+9uS69yDy2sLJi34eh9qILRfZQ8HzeQXwffTTknHO6erHwpOXzyxsy1XJrljvZAAhBgMshq6NhhzE0tzxFyfGd63i4jr1S6h4e7ELfLKx2Zh8jDuW7un6XeomsS/uON2387mFGw6kLwB3/issulbi+QFn8spEWdQN33pXrvC9jAoTBOP0EM6VYAz2MmF+3+n4j3AZeHmmTbGd3iG9F7B15biEH+Lq63JNrefTy5ZcLpg377s/Taisb9pyAOtVJPjG/6kM+LX7qpS69TRl6e2uunl9+Wv/eYZRe69BLaxI2fvngx/TBqKH0ueZdN+Z/Q3kMh2ngToT8veh+wtympgt+GDmj+SVuUqexs/X9frP0n1O26Berb+rppBw9HZ9Rx88nZqjVthzniJITHgz0Cutle+3J2ss69C/XZzjj1kgZTk1gBPzKhizn6h5NgCc6T2kci35g8f1qnYWLkEPml3YNz709DCDQOAFNhjq2W0suFqnb7lwXpx/e/yQernc3OezXePLTlDeLqvTJ2SIHcISNzCdynPp4MTFTgw/kuxMFaJsMWgbvlJMAe44zpH06Op/2G0DihMrG5FJ3RjbfGHs18v6ClQHvxL6Mz8/ZNYADA2oMetH+IDRowOFnVn7y6JfNZwySnzdZvFID7PRl8onWiht+TmpEy/H9F9YGr2/MtgdXsQM/wxQH0KOO2APOwISy4bU5UgbGILmTASBthbbna9CcMHnP6oT6jm5z+E0rGw82jI7RpOkrZ+yBySsQeIiQH+rOD09a9AParu++fPcgQYMDyABeHj6vWT2TR79sfh6ftvrgBA7OWI9mVbo8MkvAFnKcPZQAfsJH5vNX61L1y/hMfX/hKX29yzS93nOE1m7c9oUaOUdSHfiNNfBrYeDXp6927dzl0vbulzj3WI6L4BKVlJTZlLzKcKLavfWwtLRYhaGQQqEC50mGHeTSsnJV4gfAsk8JcKNWY2HLy0u9OCzdysoKlZtsQV6Om+ZnZGYrP1Skcovb+Q64b5D0qGmDH2t+eHIeOUlvDJioHos3a96pXC21pzsu431Gc4uzKQaGwDzF0QLoZDxtmdYyQBZHhIfxsLvoAuc9S5x2wiCgXgEXpnexdn2x3SdcpMwSuwZ4YSzLdBnbPojD6fstfYxpyY8fvk7OeIXFidwJAxIO0dOMnB0mfaY+DaVHHjG25oyub8DNtInjcUybmCpF1wdylJf0MCBmelxmdcIaINoKmuZ8A5vItHzmRAb3OWuMdummhkY8HJj64SUZuWhZjplRL5F1ST5ZigBwyU+0HN8p3ypL75jlC0Ahtev2QKCeqGvqJDIdPw7qmGklmhh1b0m643EsD7CcgeYamZbPlA0DdYyqfWcYTGWJh7Yjvci+Qhxcoy6ZntMGTHlZfgB0KVtkWP/T/077YFSNwT155AHLMgTASV1HysGLzodc+lN2XdZr/SaqZbd+Wp+0yYHfI13zqwd+O1VZXuL4xtWLOnbkoHbv2q1de/br0LEzunQtVXkFhc4So6QgRzevnNOxQ/tMbrv27DugY6fP61pqlvIK7cER7k+1VRUqDWUp9eYVnTx7xcWRnX5TF08d0qaENVq+fJkWL4tR4pY9Ons1TYVlXr07us8qaOIbHsnO6pwNj979+ishIfGLt/OzinV1fJ8V7MjC2hhyU6Fw2z4QPahII5JwMnQetBYW2xuT5hc98CBSYFPBXx97ECJ7nsFy+MJ9UGNLRBp+eg9KACBrlA1K3mHn92hNXRoEv107DdiKVV6cq1OHdyl26aeaNHasxkycoXmrNmjv8UvKzC2wMKbFZafo9IFtilkwS+NHj9DYKTO1PHG7TlxLV1YoDH5WhsrSImVeP62jB3Zow46D2nXwuE6YXELMQk2dMEZDBw9U7169NHDoGM1avF4HztxQyADQ9Yn7rIKmD36xsRrYf4D69+2jTYnxlsmm5VPscaIvdtgE9HDIm0nkZqRq5LChat+27SP159cw+O22aW+5TVOLdP7odi2ZNUbd27ZWm079NX5evPacTlaopNymptUqK8jSmQNbtHDyUHV8v6Vad+mvj9dt08XcYhWZukz2mfIWF+TqvAHptsQ4bdx1QNv27NWmtcu0YtGnmj9/gebNnaUpo/rrw3Yf6J3W3TVh3jqdTs53G0f325ObPPitrufGPl5lZQ1rfvdfJXdSY+WaGt1vOR+X+vg8bfpZ9EXF2xA9aDr+WMON/dCH6Mn5fulu4FdTzRtgqnTj7F7FzBmtbu+3UKt2fTVh0TYdupLnXk8BVZWGdPn4Li2ZOkxt3nlT73ToowWb9yuT3W4XwuC9tkp5OWnau3WD1qxcqX2Hj+jIiWPavjFBu3bs0MnTZ3X+zHEd3r5GU4b10PNPPaP3uo3S2gPXlFlELPdXB08I+A2wRuhj0954VTTWk/M96PN0qcbIfrFduGF6VGl+nvHZ2Lp8ULnGyERSY/N5L4o+4fE4GDlzrtdzaFyrtEuHFD9/kvp3aqOO3Yfpo5h9On6zyK2BQjUVxbpx5qAB5Hh1bv2BPug2RCt3H1OBk4ZqVV1eqIyUi9q4YZNWrt6oU2cvKjUtVZcvXrZyZqnKgLa2ukzlhWnaFDNXbV56Si3a9NLibReUks+54vurgydg2nsb/FD/I93pUAXR1eD6hnG9PsJv76Me+1R3zf74n5FUd9/9Moq+b7+jLtWTib7HBTrCHdeNImX8+y5+n92F27994mskRxPXWGuKvueH97ke2YW6NCPIDxvJEGFJw627Rfx+oHzaxQavR3Ak8Ts6DZ/88JHsyL64fIa/+x91943833XXIm8aNdR+kTJ33LMLdRy+Fklcg317utSUVO8FRo+BkbMHfuSrVumXDyth4RQN6NxWnboN0/RVe3XsRkjlzgCVtbxCXTt1wAO/Nq0N/IZq1e7jwgUqdVZbVaaSnJu6fma/ErfsVtyu87qSmmfj2q4XlzoM8ohylmjfppXq/vbL6tx9iNYdSVFmsfdKjfuhJg5+Ke7Vlb0H2xOw9yBNWRGvvTcLdSKvWoezKp2x6uHsCmc6gLnCjcJqZweHgTN9pLDyljPWxV2RCxvF7PCxy5hc7PmRQ4aFdoyceRUjYTC0rSeTaTIWH2YVGFSzgIsctnfsFLOzyo5qpIzPGEbj+ZfdSXYZIeR43SW7opQjWob0jmZ7cpiOsLnMwC22smGqwY5zQ3IwL8fGeBgTEsrFKQo8XWNnhjsm3jMcLUN5sZXE5AfP1+yak1Ncd1Hm6PrwGQNgTFRwzupvqFAvuI3HRRXlaEiONuAl5djqOTmTwbYQP4m8TBz3X3e0gTGmN7yzF2No1oE4pYEpSUq4LhsqG0zb0CcwUeIUC3VJW5DeaZO7Wz5p80tWl5SHsrHwzisE2Lml792tLrmXXBR+NYDfdpZfdn+p5+iyHUgv1dHcKiWcuKZ2/Ybb1LKz1sUnPjbgl3bpiOIXTFbfdi3VslUn9ZuwUMuT9urQkeM6efKkjhzcp4SYRRo/sJveef0tvddliGL2HHeaH7oj4Jhx5bSO70zQlt0HtP96SFnYvIaLdcsBGxVVoaqiFG2PX66enbtrzNSFOp1a4NqYNcP7oaYNftj5rfeMnJ/rNU5vzEpUr50ZGnS4SAMOeJ6WYey2MB7GMJbBzmkNqyMbrNXupd6D7D6OTvHe7Mvwvc/+PA0/XOBsvjBupl9heoK5xEenCp3hMXKRMth6DTuU74xbGezu1ZYmB2BiY4hH4hEWpwsfIdvPvpMWcrzYGwCEAExMKDCOHhglA2OwO/RQgSsHgMXJDsuic77KyZWpJ0N15YuUIz3yyYuxGWCYyAASnDDBhGT0kYIG0+MaxryYn+CLDxMZCFDH27FfJ5F1CWMDSDtwggKghABcBvjsM8h5eYpuA4yAR1leMK0BTEgOQMGEZKrVyRArgx/W//TqMt+9uBzbR/+0BgCaYHWCY9IBB+5sO35Tbuwxjxp4YvuI+QneuzE9wXC9Tzifvhzs0gu3OeWhbwHUZw0s8Qs57lj99nZphWXpl5hbYXZFHinfdQNDTtfgRHeAyUSm13dvjvodDKnj+nP6adcxertzb61LxMj5cQC/W6b5HVX8wsnq0/ptvf5qC7XpNUbjZi3WspWxWh0Xp1XLl2jGpNHq1vZdvfjcyw78Vu876cAPna64IEfnjx/UlnWx2nPwkNJKq1RuRaorln25VctrZnOVfn6P1q9coJFTFipm0xGFSsoMFu2B9eSDX9iTc9JmdRo7Uz/oO0PfmbxJT61J1nNJuc6NOYwRLAavbbZjTBpypyCcG3vrZQcMZOhQzph3faZzI+/L8R1j1tc3ZrlBjQaBiQWay7JLRWq/0zOkfibeS8OXwSAVN+8Mrk3JpWFt7JY7Msb7LTCqxlOyC2+yyMDERVr9DDywQ2MwMD3EuzIGvm135DgZ8unnEf75ugy9nJSlwQaAuFBHiwtV3HKaFm7s227PdkbQz1pavoyXXqbLBwOLgY1dIZoqoAKA4e3YlStCDn7e4sJ9/JijBc6O0AcyNCbiIt7ouoR/uiZDL5gsHplxY09nxt6P42ldd+dZvd0pR/1wHVfv2NKhjQEqzgjYAIV8kJ/IdFx9mhx12WtvrrOVQyPDphDN9JOzxe40hgsbkZ73meEMpwFO7B9pc7QwQB4P1xi2Y8T+lMlFpue33aCDedpj/Yv2RjvFXnCIAT7Gys4YO0LG7zecUJljII3DWs76Yg7FDGDyiUJ3woYw1Kmf3tPr0vV0YrZ+sui0/hk39l0GaW3iZgd+X9YJj4Y0v37t39N7rbtq0NTlit1yWCdOn9OFixd1+uQRbVq3XJOG9lLLt95Ra5v2xu71wK+SjY6smzq8f5dWx6zVgcMnVW5ARonqsM/qtrLc+tCNc9qdsFzLFy/S2p3HdSmjyDRnry/ebx00ffBL2KCuo6fq2X6T9fbcjRqwJ1PDjhaallHgNA00Azrz1JOF7ogSUx6cHqCx8B0DZzQjNBo+kYH5zlOX418Y76K54aASLYABy+mJyPB1MhYPmspCi5dBirbCE51pDGdD6ejcH2z5InwkAyhohry4hnSYnpMu4MSRK2TIZ2SantZBesVu0BTY9AlQQQNZbSA62TQLNLxIGT89yobGyPSXKSzgB6DNsjxy5Iy6i5SDiQttBSNi0mPAQoA1BsnUe3RdwmhMQ+2z7tSL9c+Q5ZWTKIA09XZHG7hrBe5kDkcKKRd1eSa/whkpU18ubEQ+fXk0ON59AgChKaLZ8iDhXPVHVpdDrM6Ivy49i4PyAqoYETN1zi6tcXKczkE7m3jM8hnWwlyaxoOMB4bTc0f+DGjpJ4AfDyBO54w0jZ64CevnkbQ5JUO74lH7igEzAM3JI5YwOM6Hhu3k/DwaD9yfq6FHCtU14YJ+0m2cXu/UJ3y87XEBv8MO/AZ82E6de47UzLiDOmXadx1C1JQr+fwRrf5korq0a6M2PYYrZu8JB36lFUVKu3pSe3Zu0erEXTp2lhecR5bHNOPKMuWkXdOx/du1ZtUqJW7coetZodvxPwA16WkvnpxZ8+s7eLg69R2kT1Yn6Hx2sZLLat37F2Cmf3ReNDZcrTOA7L+bmtDZeEsXa1x++GhmbYupJ5qi/bcps3eInwGFq3jiry9T5YCAI1xoDWADbxtjSolWxtoRp0zqyxBPlbsO6LHuxlof7Y48U24GLulFy11G1q4TL2Vz6Rlz7Ay37cRJ+aPlyDdlIAwDHI2DtS3ySF0hE122uro0OU49AOz+OhygxFSdskfK+Hwp/JlZGi6btaErWzi96PCwX7YUqxOAkvVFtKpQVY2byjZULph8enXpvYODuiefpMupDdZCeftctAynYpyc9QmWN/yTQAAZp0NuuPQa6itVrtzUJWEZruTTbzfuubqMyi/55z517trAZDytkVeAWv+2vES3+aW8Ct0sqdW+8zf04YDhatm2o9Y+gre3+XR38PPeceg2PBZN0UDAr5eB3xoP/KxaHN2qLqsDv64Gfm17jlDs/lPKt3sFoWydP7xD2zYlaPPBM7qSWew0PSd3y5SPihJnJH322H5t3rhBm3ce1NlrGSoqr3LlBhO8V+TeHzVt8AsbObPb2w9/fonr78ufH5XTmC7SGBmIgf4o02sMkVa4nz0QMdYedLw5mfD3B6XG5BH6gjHhDmpMevdVlxH+/IYNHao2bdo+kvf2+lQHftF2fmETnIyrR5W0eJoGdWmvD53md8jAr9Q96CB2cwG/uE8mqVv7tmrXe6TWHDrjNL+s7DTt2xyvDevidPziNW+d3ZNSbXWpQtk3derIXm3esFHb9xzUmatpyi0qU3FxkTLS0gwPUlVcUnbffatpb3jUgR+enPsGnpwDevIp0s5v6KP35Hw38KuuqlB1ZYnOH92iBZMHq82br+mNd7tq2Oz12nU6TYUlFTZmq1Vm2t3pfRv18ejeavHKi3rt/S6avW6zzln+z54/q/Vx67RmzQZdS053U1k0voqSfN08f1hJMfM0etgg9R84XNNmz9eymDUWdo1Wr47V4pXrlLjjiNJz7/+9wU8I+IXf4RGAX0BPONUzcn5MwG83Z3tLi1SUm6KdiUs1tn8nvfzMU/rlC+/qw6EzFbP1iG5m5KrcwuSmXNT2uPka0a2lnv/Fj/XMKy00aOrHSti1Rzv37FHMuu1av/WE0rLDIGbT5Pz0S9q0aq56tn5DP//h9/T9H/xETz3zvF58+VW9+OJLeuWNt9S2z1h9uv6gknOKPbn7oCcA/MJGzgZ+7oTHPcCPrtGY/uHkwvwgRHimag8s1xiZMDeGkHvQfNbJPIAQQf3wkd/vlxolY+EfdLrs0glzY+hBZVmpup+6rK0Dv1QNNfBr06adTXsBv6wvCfz6eOBXVqzSwlydPrpH8bFLNWfmTH00Z4GWrtmk/ScuKCMnX+VlJTZ1TdWpgzu0dtmnmjVtsmZ/PE9xSVt06PhJ0/wu6NjZ6zadzVGouMKV5VZ1uUI5KTq0M1EfTxuvEUMGafDgIRoyBB6qQYOHavjocZq1eK12Hr+m3MLy+66Dpg1+KSlavWad+gwZoXZ9hmjGqkQdSS3U+cIancyrcsaxMIakuF/CmJR1BIzNMShlg+BaUbVO5d4OW49zTDYv7Fm52rMxw0Ywo7RaF0OVzq4OjpYjPRanWchmI4BFbDZX2HC5UljldgSjZYgHo10Wz4mfBXCWSbDZyyqtceYaDaV1wpidXRbGvfSsncJlYzH9Qr53P1oOPmvpscCfX3HL1QkbHqRFHihDdHr8Ji7cPbGIz2YC5aOv4WX5hl3DEDhSxmd2hpFnc6PMMkj3JJ84ecUEpSEZGBnajl1v6pGdVDYtyPf5cNkayudZY3ZN04pr6naJaUM2JbjeUJsjRxuwEZFtZaOtySNtkWb5Jj1MeqLlYPoJcqRFu5moaw/qCVOZUw3UC9coO5tVIWsA8og3FzarUqx8Ti5K5nhWmc6GarT59A217z9S77btrDXxSV8q+OHVparK8+dXVlqioqJCFTl/fsXOF1+xyfB2N8ZsdXWVFyZUoFBBvgvLe37LystVXlGp8spqVVRxOMDqsRa27xZ3SUmR8vPylJuTreysLGXB2dnGucrJzXd+/fD5V1VVbdoxLXBvasLgF2HqMmqqnukzUa/P3qDeOzM16HCh+u3Pc4wzSUwEJh4vdL75TuV6/uToaHT0eecxiM5ztm3Y2PlyMAbEww4VaN21EjdoGHzsaGI+gakLBrjOoDdCBu+7Qw4WaM6ZImdHiP0caUWaumDMTFiXZliOOEZYWnNOF2qrheNUh4m5XUbMMyZZ/gdEycC99uW68jmj6uwKBwyYn+BLbo3lGw/PAw/Wl4GJB7MVTDGOZFW6ky/sMu9JK3fGwdzDpCNShrJijjL2aEiLzhebnGd+AgG+5MGPO1IOxkHqQKtn3LljQsIYxRr/kKU9/VShq7c75Ow318ccKXB1TlrsSgPo+DDELAUzENo4Uo66xKzmo1MhZ6DOLi4Pn2QDGV7+jrEybV6vve031zBDwvxpf2a5a2sAE8/RmKNMsPR6W32Tp8j0/LrETAkQdK72LZ+0x8ILRS7O6LqEuYbZED79AFbySPkAZ17GjikPYehnvgxGzgMOYeR8Xj/oOl6vdeprY2CTm/Z+KaYuNu3duRNPzuz23oUsSw+aL0I7zc99ukv3QTyIXWLh359NTR/8Ejep85gZ+lHvafre5I16YV2KXtucp1eSMj3e4Lkd77gr153KOGSdGhMNzB6w5RpmQPSqhXkp0TOGJjxyfH8hIdN5LWZQ+0bOmE/g8LLr7lznsRkDYz8tJ2PxYJQLaDJgfSNnnFxivAwA4HaddEjzZReHxxi1Drb7nES5YQPOxBwIYuCLe3WXhsn46cF4Vn5zY5azJduVjuv1Wlc+PAPPNQBGDgPcl8LlgkkLw2cMegcZUG9JKVeByaHJ8R4RgAO36xg6E/Z2elnOgBsjYQYtnrB98EMDw6CXeOvqMoKdIbDlgbpEu6R/choFb9B4k6be/PrwZfjN9fe3ZjtHqOQPcDiZU6Hp9vDB7T+vDaAufTk+4RZWNkBwpYHkJdNkARZOoeCk1dVlRP07OerHGENm7B/Jl6+BX7RZBHaUpEefoIx+HpHjN+lht8fpH89c5Zbz6jzW4iL/1KXfBtQNzDXy8sm5Qld/Pvih7WH72GZ7juUpy/UzP72XEtL18sYc/XLpaf3fThP0yocDFfdlGjnXgd+jx4DPS0182svxtgR1HzFBL/Uep1ZzN2jYvkyNO1HsOp3P40374QgVx72wp2M6g00Vg2K5PWHH2hOdpyzMd2T4jqt0jIR5p4Y/yDm7uT+zwp36YJA4mTDzfaTJcJIEoGNa6aav1h+x28LodakNYjQPP01fFiNZ5DgFwnEzBjrEJwa+aJIuDQvny8AjDqPVhhwgO3ftBihMX5m6ciyOExXj7P6YcLl8Jj0AbMnFEjeVK7V8klc0Y45kcXQMV+qReYTRtjCCTgzXJVothHdlPA1TZ+QxWg7NaLzJbrOyYP8I8QBiaYF3q4yyMNFlIw60JgyBMb5mOojhN1o0Gh1aNG0bWZd80i5eXXpeuJkyk0/ehwLQ0xei65/6gTGA5p0aaHD+DIFlDzxl8zoD8kPd+XLEQ3q0Ke8nQSu1Yrn+xcyClxtNM6B26Rn7efTTpn12GEjycCUttEbs+zgGONMAkDCR6Y0+bJrwsSL12XBeT3UfrXc69dS6sJHzI532Rtj5BS8wesTkwA/HBnFr1HfQUHXqM0hzYhJ0KqPIGccydfCZJz7GymgcrE1xbAwoYxBy3rMurIVzHP7NegwgAnDRoSGe6qwbsubE/TrZMHMNUGCg8ST3X2XIYGBKyjoccUam48txHc0SzY10nJwNCNIn/5Hh75TzjKrBIhgQZNpGPin/3dLDaQPpkU+YKTNxUYbI8D5fNnZ1aXEDsuFsuukhZWuoTmDWCZHldAf5g/gEYBjsd5PjureeaW1giVGdbm0ysmwNydh1ysFRRuqefGK0DBCyDhct4zPrdrzxjXpg3Q450vPl7sinpcM16pK1O9qc4tG/iIO4mHb7YevJGlMGf22YtCLL5+czMs3zueUWT7V2nbuurgOHq3X7Tor/kh0bBOD3iMkDP3Z7YzSwf//Ak3NAzYS8GUhOOp6cMXVp9+WYugTg9ziAn2/k3EdJCfGq+oKcmQYU0GNB4RMeGWkpGv5lenIOwA/wu/YYgN8A9e7T1zpBvNsyh+gCd3SDyItRNyMvRwaD6r7bF3cvfMF9j+IGyW5E3/N/+3KRv/1P/3s0+feiw5Kv6Gs++b+jr0eSfz3yfqRM5HVHdqHB62Hy7/n33Xf74+3heRfcVM/75YjvPjdEkWX0KVLG50hq6BoUGT4yTL3f4Yt1v8Pk//avRd6Dou9D0b8jqe7eXQL4932QcW7sh+DJuX3Yzi8AvwelBwI/7G7mL1hg4Pe03nzzLS1cuEg3btz8wiu8IaoDv7g49R80SN379NPKtfHKLCxVqbUD3k3wx8Z6Fsz6C4v6rKEx4GDWkFirKrTrhL2DK+yefbJz56//8MnaEX767iZDesTLuh0mR8hhV2iXxWYLeWlIlrSK7T7xWxCvw9sf1oNYSyLeO+QsPT6Jk3D236WJPHlgk4B1r2g5VyfGrC8Rtn4evfKRn4bkuEedUJfIkE/76crWkIxj8mDMpoq/nskHJiFOpoE8wi49k3HrdmEZ8stmSYndu5ss1yl/uWWQ9Min/bQ68uz2GqxLY+T8NiA86fHp+glhPiOffj+BgAKcoVIn5N/JRrFfNva2KBN59NOjfA21eW5ZlUos/LmryeozaJjeb9Ne6x4h+PH+3VOnTmv8hAlq2aqV+vXvr7379oXvNi26J/gBeL4NT3FxsebMmauf/+KXeu211zV37sc6f/6CM1IkzKMEQQd+GDmvXas+9gRs3XuQJiyL17brIR3MqdGe9HLHe9Mr3Ht2cU55KVRZZy7B4r7zIlxQ6XZv91g43uvry8G8T/WA3cMjBwMGGTolmxnsUhI3cnfIWHrs9LJojYsiQLa8yls0ZzcQExsXNkIOPmjXMRJOCS+cMxBID8NgPBbvs3ijZdgF3ZdR7uTwkwcA4pGZQYp5DXL76/JZP6/sPuORmnxRJ25zxeqHxXs8E1NvkeGRJw/Yr7H47vzrmQytziDFKNfPY3Q+d1o+cV912eqbukTGiubqiN1m6u2O+g9/4gWZOvDA3QNmdnzPmBxl8NqhvizX2bFNKa4y4PHyiRwbDLwXmTqrL+PVjy+Htx8Aj7ZzclaX7MJT3w3lk35y1uqS/uUAzPKZa/2LzQ68SkfWJeFh6or2YWMDYPP7pZ9P5ChbZHq7Ukt1ILtaq49d0/t9R6pFuw+19hFueJSVlevEiZMaN3680/z69uvneXW5T8Pix4nuCX5UKLuqp0+f1m4rJEj/7e/8l372s5+r/4CBWr16tQ4dOqTr16+7t6/frxfVz0vOzs/AL259vLoNH69ne4zWyx8l6MNt6eq5v1Dd9+TWMXZkI48WOFMEOjadmh3fizYQPz1f5IyZu+2Gb8t0M/5wV47zuLv2WqnbcWWYoy0BUhg5Y+vXbU9ePZkuu3LVb1++Zp8pdAMJUOCJjusm3JBjCIvTS8Ij78vxnbRmmhzehzGqph9j5IyJDmYOPfd64Qjvy3W2PGJ0i8kE7uzRMACJawZgGOZi5Nx7r1e+7uG8+ulhNIs92YFMzE88LRAbM8xtsBvE+7JfJy5Ni4NrGGnj844TB2g2EGA443Shulj4yDz63GFnjnPkyovEsX2EqBdOkmDkTL1Fy/G9y+4cq69854GZXXZSYwcVM57pJwtdnfUgnxEy5Jnr2HVuSS51u9BocnziIRnTERe2XnpWN1Y+DMZxXHrQ6iTPwAtAwgwF+0dMcegT5DMyj/wmPdocIMccB/DjQYfJE6YwtF1kXcIYfnNvzdVSd/KHPPIPoMfvIfcIT5366XXdla1ue0N6b805Z+T85of9tO4Lfmk5igYKTm5unq5du6ZNmzarf/8BeunlV9S+QwetXLVK12z85+bmOgXpy1gGawzdE/xKS0sN9PZo6pSp6t69u37y05/qr//mb/UP//hV/fgnP1Xr1m2cCkyFpKSkfral90Ok2+CXqC7DJ+nnPcbpZ5MT9GZiit7dlq8WW7LrGI+/3W2AzD1b6J60TH/pJAAhtm7cxzAZg2Zf5h1jPPC22Z7j7NfQjiDABWNinEy+tckLi9GyL8O11iaDHddOAzGe6GgCgCfaDzZ57XfkeOHD6SH3tn0nLTo8NmyYvED4BcTuDoBrGc4n4X05jHw/2Jbt4kW7AGwBP8xKYgzsBxrAvUfYqLKRXuvt2c6l/nbLJ6DOtA3tBvs5Birliswj9UMeGIwfGdBhQ8eDBKIuiesNqzPi9vPoM8a675ksxso++PGcPGGAPdJAhXqLluM7bYBRNTZ7mIQwtAEHHLViVEydvUu9RMiQZ64D0oDtjSIPWHxbxB4GIq4eo/NpvzvtzHW2nbvTyupmCWiPnJbhIUJ+3rJwkXkk33hkps3RANEW0eAwXF5gDzuAL7ou/XQBbk6BMAMhjxDaopfPPBeG+P303t6Uobe35Or55Wf0n10m6q1ug7Q+afMXCn68FOzmzWTt3btPS5YsdWeKX3rpZf3nt77jZoFdunZzs8BNmzbp0qVL9V4i9jjTPcGvpKRUGzduVIcOHfXNb/67/vgrf6Lf/3//P8f//Q/+UP/0ta87AIyJiXHa36MDP9b8UhS7dr16Dh2tt3sNV+8FCVp4OlerrlVomQ0WeLkxx9p4kqLhYLDKug+AhENOvCZzf9lFCwuH5WDeZcGTm2keL5ihXwEQTAtxc+5kwmn4MkvtGgbHGEYTjvAMBMAF7QhX8xjROhkL68vxnbQ4FcJRJ8560o1Zy0PDwpv0inA+62SMOf1B/ikH9ndlNoBMJDydrHBAyimHaDk/PYx3GWxMrxl8N2wKttemhAz2O/JoTB4AFKappAfQQmiqxIWHZ+ogUgbGyzMAxjtCsEFEClHOsHLsD5louaXGSwwEOP7FMgNyaOyAEhoWbUBdY6geKUeeuc57P07mVtiDx/JpDQ7ocsY4weokumyuHe03aXEyAztB0vPOEtc4IMPFP33ijnzab1eX9hABmOlbaLXYGfKAoO9RduKPlCNN7jEjYJrNuiZ9jOWEI1ZP601Ljc7n0guFWnHFtN7dl/V679Fq0bGH1iVs+EKnvSWmAJ09d86t8aPp/fCHP9Lf/t3/0Z/+2Z/rL//qr/V///UbDgxHjx6tffv2OS2xKdA9wa+8vMK9dWnEiJH6t29+U7/7e7+v3/jN39b/899+3X0Cfr379NHOnTvdYeNHN+0Ng58zch6iLn0GaHFcgm7k2bSqEo2p1mlNDEqMm+lQLPwztWPQkUsGLmtj3AcICZtpMsj5DIig7QEodGobD+5MKvG58Ha/nkz4Wp7F6wEfg9xbT2NqyXWmsk6GdCPkSIsBypqYGwiU0/5gvMyAJ956MsZMAckHx9rcGpWFJ58AGWtdaJzcd3KRsvYdbRbNFOBjsFJGBjx5JC93pBe+hhxTUOohrPi5TQW0ziwrW3QeYfLJJ2/MQ4ayIUp7ULY78ufL2DXKQL6oC8CP/NKWtEFdPiPkkOE68fIQIbz9d3mkLqnj6LK5tgzLsRbM7IB8kkfewMfDjzPJfp4i0/LTo04AWYhhQNnq5TNSzpg+4Pql1RsPLa98nmE79YRzhXr5tM+04krl2r1jl2+q16Dher9tR62z2c8XCX7Ey7R2ydKleqfFu27W93um/Pzmb/22fvt3fld/8qd/ph/96McaOXKUjh496jCjKdA9wQ+QKS4u0fbtO9S+fXt99Z/+ybS+/67/9uu/4VC/1XvvKS4uTqlpaaqoeHSF9sAvWbGrV6v/wIHO1GVtfLzzIAHRcWE6lN+p/E/775g//nUGhy8TyU6GoPZp/+sGrR+vk40I79iuEYawsEszfO2uMsZcd6dPjCP7MF/vL58eYMJeeB98LYzPUTL235HLX5jryUWE9+Nw90zGLtXVC8TnHTJR7NIMC/Dhp3e3csGECYs0nEc4UiZ8nXoknJM3JhL3YX/uyCe/w9c9Ga8N7H9deB4Q9WQi5GD7WUfI3JHPKFnic+1t4f08wiTqrhnXl7ulivDM6kZKigYPGaY2j8jUpaioWIcOH9Yo0+5+9OOf6A//6I8dBvzO7/6+N/tr09ZwYI0yMjIM+L+YPDxs+jUq63aFWUPYIyuSARk+b9y4ofnz5+vFl15ySP8bv/lb+u53v6eZs2bqwoULKi0rc4ebo+X9+B92o9SBX9jIGdc6CYEz04CeaLJxFPbnl4oz02FD1bat588vIyPTlI8vDvxYzsrKylZCQqLatmvvpr2/9du/o6985U/1q189pUmTp+jkqVMqv4cC9EXlrzH0axQKxoCZJ0eZgVgks+EB5+fnOZV24KBBNsf/V7fp8f77H2jLli3Ov1ZZGeGiZcvc4ifxYgQJGD4sohIx9MSFNeDH1Ds+IeGRap8BBfSoyQePNJtpDRuGkTPH2xIdMOHL7oskkr565apmzJypn/7s527m953v/JfDBAyd8wt4DVHTIQd+hYWF9iRJ1eXLV5zd3rlz5yP4nM6ePauLFy/q2LFjmjBxop56+hn94pe/MtAZqKSkDTp96rRpf+dNNlLuvMmdc3IpFndBKHRXtRxQBHwBWfJSUFDgwjfEIWNMavLy8nTmzBktXLhQ3bp1U6fOnbVs2TKndrPgGgpZHMRTj/M9zg+z+91QuGhujFx0eJ8bCtsQh2XvO70wP7CMHzaSGwoXzRHh66UJNxTe53CYB8pnhIz/vcFwd+NIuQeRtbAPlGY4/APnMzJ8JEeFs3gxJ2EKypjs3buP3n23pZavWKFLly4rKzvHCxc1ZqKZMYRJSoWNR2ZQjEnGIA5HGTuFhPPTjJAhXTY1V8XE6oPWrfXDH/1Y77Ro4Q4+MPbJGzKEhX15Pz1OX4E3j4v292sUmikt29SLlyzVxx9/4rat+bzNH7sp7yeffOps+9586229/fY76tmzlyZNmuzCf/pJZHgvjtmz52jhokXabNrhpcuXVWQVEK39URFoh+np6Tpx4oR7gmzZulXbtm1rmLdv146dO0zj3KoVK1ZqyNBhlp+39Oqrr2n4iBEOjHdZHNssjq0BB/yE8ebNm7Vjx07r+ysc8D3zzLNuHW51XJwzN9va0JiJZBs/hGH97mZysgM7AJDpKuv2x44fd5uXjMF6cYXH3YYNG/TJp5/qwy5d9Mqrr6pN27b6aMYMZxGyw+TIoy/jy2/fsUMHDx50y2N5BuCk9ziQW/PDOcH69es1e85cTZkyVZNt/s5nNE+ePFVjxo4zkBnpdn/HjBmrCRMmNhiea9ybOWu21sfH65w9GQobMILmN0+GU6dOuY2TmbNmadLkyZoy1eK5C0+dPs2lMWrUGHXt1l3vvNNCbxkgd+/ew4Hx9OkfaSrhAg74CeMpU6Zo2rTp1vdHOfB79dXX1bNXL40ZN/ae4waeOs3Gjn0uXrpUh44cUU5OjlsqYsbFml1MbKyb1hLXZEsrWp7ro8eMUa/evZ3ZCyA41Kbf3Js2fXq9sL789I8+qlOCrpuixSzvcSCn+TGFRG09cOCgof5u55n1rrxrt3tVnc8NhgnzDkN87H6Y/mIGQyVHq7w8BVCPOUGybt16pzVSWTTAvfijj2bUgez48RMcIM6cOUuzZs/WLAPRgAN+0tj1b1MoGCP0+3HjxjuAQftqaIxEM8oFzFQZ7Y/3YLA+jwLCGORVkHPmznXxf1ac3J9mQArg3S2cf332nDlaumyZ0wKZNj8u6/K/BviwFsecPD+/wB1hycnJvSsDlPl5+fYJ57l5fkPhPM5xYVgroMANTXm5RuUDjhcueOuKqMgcmbsXH7bGO3LkqMkc13FT19mQOXz4SMABP8F82GPT2hgrrt/bGOBaQ2Mkmn3502fOuLV4lqL8jU5vDF7QERtHjMGDDcgDmKR9NJw20+Qj9vuOcMa+PPcBVo7GgQdofo/Dup/T/MhIJHPtYXJk3JEUeZ1wALG/8/z5mDgCDvhJ5Pp9/UHHC+FhxhocPVYf3hi8zX56fvx8RmPBl0H3NHIOKKCAAnoSKQC/gAIKqFlSAH4BBRRQs6QA/AIKKKBmSQH4BRRQQM2SAvALKKCAmiUF4BdQQAE1SwrAL6CAAmqWFIBfQAEF1CwpAL+AAgqoWVIAfgEFFFCzpAD8AgoooGZJAfgFFFBAzZIC8AsooICaJQXgF1BAATVLCsAvoIACapYUgF9AAQXULCkAv4ACCqhZUgB+AQUUULOkAPwCCiigZkkB+AUUUEDNkgLwCyiggJolBeAXUEABNUsKwC+ggAJqlhSAX0ABBdQsKQC/gAIKqFlSAH4BBRRQs6QA/AIKKKBmSQH4BRRQQM2SAvALKKCAmiUF4BdQQAE1SwrAL6CAAmqWFIBfQAEF1CwpAL+AAgqoWVIAfgEFFFCzpAD8AgoooGZJAfgFFFBAzZIC8AsooICaJQXgF1BAATVDkv7/IrcLjP8VBucAAAAASUVORK5CYII=)
physics-General
physics-
A point object O is placed in front of a concave mirror of focal length 10 cm. A glass slab of refractive index m = 3/ 2 and thicikness 6 cm is inserted between the object and mirror. Find the position of the final image when the distance x shown in figure is 20cm
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)
A point object O is placed in front of a concave mirror of focal length 10 cm. A glass slab of refractive index m = 3/ 2 and thicikness 6 cm is inserted between the object and mirror. Find the position of the final image when the distance x shown in figure is 20cm
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47SE1NwWAwdAqcLMts2rSZDRs3EBcXx6yZM0lISLiqPcdEoIR+TeGnJyJjEM6aKtQdJtDpLiyM+fHHH3P4yBHS09OZOnVql9HkX3ZirHjnHWqqaxgzejQTJkwgIiLiqociiUAJ/ZyEJjUNZ201jsoTeAKDqKqqZvWa1Zw9e5bJkyYxbty4LpeBFouFiooK1q1fT3t7O3PnzWV4Tk6nafUulwuHw4FCocDHp3vrTohACf2eKioahcHA2e3bqHF6KNxaSHu7if/4j3tJSkzsMsepobGRvXv3sn3bdjQaNQ8tX07E15Ygg/P3XceOlVFXX8e0qVNFoITrh9LfH5t/ILvWrmPbidOkZmTw8E9/2mVvXYfDQV1dHQVbtrB//37GjBnD4kWLuozpq6urY+fOXRRvKyYlOaVHkw5FoIT+T5JoCQ3nbFgES26Yzrh587r04HV0dFBZeZL33n8Pm9XGAw88QEZ6eqfLQLvdTn19Pe++9x51dXUsumkREyaMF4ESrj+psTFE5gxBpVZ0ef5ksVjYtGkz73/wAdNvmMZtt93WZecOq9VKaWkpv/3d75gwfjyP/uIXREZG9rgOEShhQFCFhKIOj8R2+CCG2fMufN1isfDwf/03sizzXw8/zPDhOV0e5sqyzF/++jcKCgp45JGfMXbMmG7fM11MjOUTBgRJq0Xy05/fbMDtxuVyUVRUxNKltzJ6dC5PPPFrcnKGdQqT2+2m8uRJFiy8CbvNxp9f+F/GjR3bZbOBnhAtlDAwSBJK/wAUOh1nS47w6tp1VFRU8PDDP2X48OEEBAR0erbU2trK5s2b+eijj7nvvh8wOjeXkJCQbz2uTwRKGDAU/gHUuNy8+T+/J2b4CB5avpzMzEx8fHw6TSgsLS3lk08+xdRhYvny5YwYMbzLQi5fcrlcOJ3Obo+aEIESBgyFwUBQcgrjbA7G3rqU6OjoTh0UJpOJbdu38/nnnxMfF8+8+fPIGjTokqMiZFmmouIEW7duRZZlfvCD/+hWDSJQwoCh0OsJS01l8pl6wmNjO33vxIkTbN1aRFl5GaNGjWLihImEh4ddslWyWCzs37+fz/Py0Gq1TJ40uds1iEAJA4ZC64MyyIin4eyFr7lcLvbu3UdhYSFms5nZN97I6NGjL9vxUFNTw+49e9i5cxfJyUncOGsWMTEx3a5BBEoYOBQKJLUa2WbF43TQZupg3759fLpqFelp6dxyy83Ex8dfclf4Lxe/zC8o4MSJE8ycOZMpkyf3uPtcBEoYUCSVGrdGy8mSErYdPsLKlZ/w4x//iNzc3C5DkeD8vZLZYuF4+XH+8dJLREdH8eADD5CcnHzJ4H0TEShhYFGraXF7+N9f/RpVeDj/939/77LZ9ZfcbjdtbW0Ubt3K88//kV//6ldMmDC+08pIPdXjQMlf+/O3X1pdELzLpVLjjIjk1pGjmfG971/xuVJ9/Rl+9etf09bWxscffXjJWbw91aNAvVPewV8OneNUu4vMIA2/HhXIlBjvbqkoCN+GRqMmISKcpOAglJcJh9VqJT8/n7/+7e/ceeedzJ07h4CvbR36bXQ7UCUtDt6v6GB/owOHW6bdYeN/9rUxLtIHjVK0VcK1QVKqUBsMyBbzJa+gKioq+OCDDzldVcVvnnqK9PR0/P0Nlzjy6nQ7UOVtTirOubC7z1/0WV0yO87YuX3jWbTK3h8SaJdGIJk0aDY29Pq5ukN2ObEZZ6A+bkDZ0IKk8O5ercLV0VraSa30ENx2lsKgBmTpayPPkWks3EzVhk/RJAymsUKNtsUKWC/780J8FSxK0jO1m1di3Q6UxSnj8nx1ByUDGqXEtBhfEvy/3a5v3WEqr0LhE4g+fXCvn6s7ZJuNc3vK8Q0JR5OgQ1L1/r+B8M1UVglfWzCao9XEpvkhX3QZ5w6agmlYBAfKKije8AZKnYEFCxaQnpZ2yRETerVEgqH7d0bdPjI5QEWIjxJwAqBWSMToVSxN9SPUt/c/nZulRpRqD4EJXbs++4Knw02j7TT+QaPxifVB+hYjlAXv8VjA2uyP5YSLMfG+cHFIEjJxj0hj6tkGpuzfz+Ejh/Ec/pzSw58zduxYhg4ZQsBFG2P3RLcDlRqoZna8jhqzi9oON/EGFfdmfjdhEoRuUyiQNBpkh/2yhyiVSqKiIomMjGDKlMns3rOH/Lx8thRs4cjhw6SkpJCZmdllLGB3dDtQwT5K7s7ww18jsafBzogwLfdmeu9mThC8QZIk3EolZ9tNhMjyFSf8SZKEXq9nyuTJTJwwgePHj/PRRx+zZu1ajh8/TkZGBrGxcSQkxHfZc+pyetRtHuunYvmQ882h6NcTrkkSWF1u8k+exrJ7D/6BAURFReHn53fFtfaUSiUZGRk8+tijNDc1sfKTT3jttdeJi49n/ry5pKSkEBoa+o2n73H3nIQIk3ANk0GNTLjbxS9/+Tg//slPWbtuHScqK2lubsZms13x5QpJIjQ0lB/efz+vvPIyM6bfwL9efY3P8/K6dXox9EgYcHxUKqYMyWbpb57FbLPxyiv/ZOnSW4mJieGh5cuYMmUKKpUKpVJ5yekbX/L19WXq1KlMnToVWZYve9zXiTUlhIHF4wGnE0mrgS/ukZYte5CC/Dz+59lnKCoqZtLkKfznAw9y7FhZt3/slYL3daKFEgYU2ePBY7eh8NGdvzWRJLRaLVqtFr1ez8MP/5Tvf/97nDx5kpdfeYWDBw8ybepUli17kKCgoG4H53K6Hyi3hW2fbWDvkRM4JBWyLDF81lKmZUd9qwIEwas8HmSbHcnXt8vNvlqtJjg4GKPRSHR0NMnJyVRXV9PU1MQvHn0Up9PFggXzmTxpEkaj8apO381AOdm65gN2lreSNWYKkQY1jadK2PrBKyiUy5mcGSI6KoRrgux2Y28/x+m2c+htdrS+vl1aHUmS0Ol0JCcnk5iYSEdHBxGRkZypr6emuoann34Go9HIpEkTyc3N7dGyYt0KVFvVUT7esJ20yTcxNncEgVoFraF+nDlSxEvvrGfcU3eh+ZZNpSB4hduF69w5TjQ0svq55/APDGTypEmkp6dfcp6TQqHA39+fCePH4/F4qKqq4vDhw5w8eYqtW4vYUlhIclISM2fOJDg4+BtP361AVZVspc6qZVx4FAHa8/0YhgB/srLS+N3Tq6l79E5ifSTEoHOhr8kuF5LFzLDRozlnc1BVXcPnn+dRXLyN2LhYsgZlkZiYcMl5UgqFgoSEBOLj47Hb7Rw9WsqOHTuorq7B6XR26/zdCtSZU5VIKi1+froLl3ZKjQZDcBCKxkpOtXmICleIQAl9Tna5kMxmYsZO4L6Ro/DIMvv27WfDxg1U5FVQeaKShIR4IiMjL/uwVpIkfHx8GD48h5ycYRe+1h3dCpTH7Qb54kMlJKUSJTJuT/f66AWht8kOBx5TO8ovgqJQKBg5cgQjR47AbDaTl5fHqtVrcDod3DDtBlJSkgkKCiI+Pr7Tgphf6mmvX7cCFRQRicdVh8ViQ+Z854nsduMwWXD5RRFlVKIQrZNwDZCdTjzt51CFhsJFYdDr9cyfP5/58+fT2NjIyk8+4WeP/JzoqCiWLXuQqOhojEYj/gZDj7aw+bpuPdhNz85F5bFwtuEszi9aI5vZzOlTVUSOn0aqVkIlAiVcA2SXE6vVihUJh8Nx2REOXw4vKtxSwIsv/h8rVrzDnNlzeOqp31BaWorFYrni6y+nW4EKSJvEklEh1JSXcPD0OcBFbV0Vq/OP8dgj96EUzZNwDZA9Hs60t/Ps51sYlJXNo48+RkNDIx6P57KvUSgUBAUF8Ze//JkDB/Zzx+238fQzzzBu/ASee+4PNDU396gGSe5mBM3tLZTs+IxP126mpNpE8pCx3HXnLWQmRuHzHTRPzX97AWVwMIG3393r5+oOT4eJxqefwv+WpfhkDxUTDK8Bno4O2rcX07RjO/Jtd1JXX89LL71ETU0tCxcuYMmSJcRdtETzxex2O+fOnePcuXb27dvH1q1bGT1mNHffdVe3auj2SAm9v5HBY2cQkZJDu9WJn7+RyKhwtKJrT7hGeCxmaGwgNDMT/5QUYmJiiAgPp7WtjdOnT/Pc75+jra2NiRMnsGjRIkJDQ7t0Omi1WsLCwggNDSU0NIRRuaPw7cHqsT0ay+drCCLOENSTlwjCd8bT0YHrTD268RORJAlfX1/S09MBSEtNIyU5hdq6Ws6eOcMf//QnbDYbY0aPZuHChfheNKJCkiQCAwMJDAzsUQ1icKwwYLjPteFsaoTIruNLjcYgjMYgcnKG0djYyNGjRykvP05TUxPP/eF5lAoF48ePIycnh8DAwKseJCsCJQwMsoy7o4PK6mr2fbySgOBgxoweTUJCQqfp6wqFgvDwcMLDw5k0aRJNTU18/nkeFScq2LV7N3v37iMsPIxBmYNIT0/DYDD0KFwiUMKA4LHb8JhM+BqDcSGxY8dOWltbCTYaiY9PIC0tleDg4E5DjpRKJeHh4dxxx+0AVFZWsmHjRg4ePEhVVRXlx8sZOmQI2dnZ3a5DBEoYENzNzXgaG0idOYvhcxfgcrkoLt7GinfeYcuWQkaPziU5JYWY6GgiIiLw8/Pr0vIkJSWx7MEH8Xg8HDlSwpYtWzhSUiICJVx/3I0NuFqa8c0dDYBKpWLy5ElMnjyJ9vZ23nzzLf785z8THR3N7Btnk5aWRlBQIEajscviLQqFgiFDBjNkSM8XVRVT4IUBwVlfj2yzoY6N7/I9f39/HnpoOZ+sXMnyZcvIy8vjzrvu4n9+/xynTp2ira3tqkZFXIoIlNDvyU4nrrZW8PVF+oa9nTIzM3nuud+Tn/c5CxfM577772fEyFG89/77tLW1XXFURXeIQAn9nrO2hg07dnL362/xi1/8gqqqKtxu9yWPlSQJlUqFXq9n9JgxvP/eexTk52G32Vm8+Gbuuvt7FBRswWq1XlWLJe6hhH7PeeokudFRpP/hD1RbrPz+ueeoqa5h7tw5LF68mKCgoC73SZIkodVoLsyHWrx4EePGjaOxqZH8vHw+/Ogjblq4kOnTb+hRLSJQQv/m8eA4WYkxKIiECRNJcTpJTEykurqG1tYWnnzqKdRqDTfOmsmoUaMIDAy85HrlRqMRo9GIw5FMdFQULS2tREf3fAEiESihX3OdPYOnw4Q2NR2lry/+vr4MGTKEwYMH09zcTHh4OHX19ZQcLWVrURFhYWHk5uYydMiQS04o1Gg0pKSkXHU9IlBCv2YpPUqr1YpfWDi+bveFSztJkggJCWHGjBl4PB6OHz/OgYMHOX3qFHl5eWzbto3Y2FhGjhhBTEzMVU8ovJgIlNBvyQ4HtsMHKWloon7bdiKra0hMTCI1NaVT66NQKEhPTyc9PR2LxcKRkhK2bt3Kzp27qKutIzAwgITERAZlZhIYGIhKpRJj+YTrj6u+DslsJmHwYKo7LKxbv57wsHBycoYRFhZGYmIiISEhqNXqCwHR6XTkjhpF7qhRmEwmCgsL+XTVKnbv3s3w4cOJiYkhISGR6OioSy479k1EoIT+SZax7NiGOjqGrJmzGBoZhd1up6SkhNdff4PKykpmzpxJTk4OUdFRhISEoNfrUX2tt89gMDB37lzmzp3LuXPneP2NN3jllX+Snp7O9753N2lpaT0uSwRK6Jc8NhuW4kL8l9yOKiISOD85cPjw4QwfPhyn08mmTZt45tlnkWUPt99+O2PHjCE0LAy9Ttep1QIICAjgJz/+MT/58Y+xWCxX3EvqSsSDXaFfsu4oRh0TizompsvqRnB+HfO5c+eybu0a3n/vfRoaGrnzrru595572bx5M2az+bIPbnU6XY+WX/46ESih/5FlWj/+kPIAI00KFS6X67KHSpKEweDH8mUPsnHDep566kl2797DnLlzeeDBByktPea1cXwgLvmE/sbjOX/vFBBItdXGi7/8FWqNhnnz5jFt6hT8/f27PLj9cnMAnU6Hn58fkZGR3HrrUmpqa3np5ZcoLT3G7Nk3snjRYiIjI06pSdsAAA8aSURBVEQvn3D9kJ1O2j98D8OCRUxJTCZt8hTOnD3LsWNlPProY4SGhbJg/nyysrLw9fXt8nqNRnNhEZb4+HhiY2Korauj4WwDzz//PLm5o5g1a1a39tO9FBEood+Q7Xasu3eCUok2cxD6sHDC4+NxOBykp6VxvCKT2tpa8vLyef/9D0hOTmLWrFlERkai0Wi6LMKi0+nIyMggIyODlpYWYmJj8DcYLhnE7hKBEvoHWcZtaqfpg3cxLl6CMiDwQmeERqMhKSmJpKQkzGYz5eXl7Nmzl/b2c6xY8Q46nY7Bg7MZNGjQhedSFzMajUycMOFblykCJfQLHrOZlm1FfLp3H4mTpzP47FnCwsK6jMfT6/Xk5OQwbNgwzGYz+fn5HDp0mKKiIg4fPkxsXBzJX4TPz8/vkgNlvw0RKOGaJ7tcOOtqadu4nuaxEynZtJkT1TXExsWSmJhIdHQ0QRcNGZIkCT8/vwubA1SePEleXh5bC7dyYP8BMjIyiIuPIy42jsjIiC7Ppa6WCJRwbZNl3M3NWIu3EpyWxpM/+X84HA4++fRT1q1bh1KpZNSoUWRnZRMZGUlISDC+vr5dWp6kxESSfvADnE4nhw4dYuXKT1i1ejUjhg9n1KiRF4L5bQfJikAJ1zSP3Y7t8EGsB/cT+ssngfP3TEuXLGHpkiXU1dXxwQcf8MwzzxAWHs6iRTcxKDMTo9GIXq9HqVR2annUajUjRoxgxIgRWCwWioqK+ctf/0pCfAKPPfboVffufanbmwX0NbFZwPVIxrp3D6bVn+A3fRa6CZMue6TH46H02DFefvkVCgoKGDduLD966CHi4+MvLLPsjUu6byJaKOGa5ayupnrzRhpcHgalZeAry5cNhUKhICM9nWefeRqLxcLx48d54sknqa6u5q4772LOnDnExER3WkW2N4hACdckj8lEx4Z1uNraOGwM408PLiM0NJT777uPjIwM9Hpdl3AplUp0Oh2+vr4YDAZe+N//xWw2s2vXbn7161+hVCqZN28eU6dMueR6fN4gAiVcc2SHA9PaVbjPtRJ7+13cFBbOqBtuoLGhgbXr1vLCn//MiOHDmT17NvHxcV26ziVJQqvVEh0dDUBwcDDDhg2lobGRI0eO8Mtf/Zpgo5G5c+cyZMhgDAaD12oXgRKuLW43HZ9txHH6FPop0/DNyMSg1RIREYHdbicuLo7KkydpaW7h32//G2TIyckhNzeX8PCwS17SBQcHExwcjNPpJDkpiSGDB1NbW0dxcTHr1q1lyZKlZGdno1J9+xZLBEq4pjjrarEfK0U3djw+WdkXOnskScLHx4esrCyysrJobW3lyJEjVJw4walTpzhWdgyj0UjWoEEMGTLkkoNk1Wo18fHxxMfHYzZbqKw8QWlpKX5++kvNALkqIlDCtUWhwDB3PqrwSBR+l78UCwoKYuLEiYwfP56qqir279/P0dJjbNlSyKFDh4mKimLw4GyioqIu+VxKr9cxePBgBg/u+frlVyICJVxT1NExPTpeoVCQkJBAQkICs2fbqKio4LPPPicvP4/KykqioqJITk4mNi6WYKOxyyBZbxOBEgYMHx8fsrOzyc7OxuFwUFBQwNq168jLz2fo0KFkZ2URFxdLSEgIfn5+opdPELpLo9Ewc+ZMZs6cSWtrKx9+9BEvvfwyBoOBG2+cxZTJkwkODvb6ecUUeGHACwoK4v777uPdd1bws//331itVo4dK+uVc4kWSriupKSkkJiYhELRO/dRIlDCdUWhUHh9DlSnn99rP1kQrkMiUILgRSJQguBFIlCC4EUiUILgRSJQXiLLMi0tLZhMpr4u5brncDioq6vz2vLKPSEC5SUej4dPPv2Uffv393Up1zVZlmlqauKll1/G4/F85+cXz6G8xOVycerkSQxfjJCWZfnCJ2RvPvcQuBAchUKBx+PBZOrgyJGSPmmhRKB6ic1m++KyA1JSkvu6nAGttPQYarXqW2027S3io9PLZFnm1KnTPP/8H7nv/h9SVVXV1yV9a02nS3jp2Z9x9/fv5628g/zryQd58qVVtJisfV0aAOs3rOfBZct47fXXMZk6+rQW0UJ5kdPlYtPmTbzz7rvs27cPtVpNRUUFwcHGvi6txxISEvD390eSJALCExk7cTIlR1/hZE0Dfuo4bpszBoPv+enmZ8820NzSjNPh6JNaT548RUnJUZ577jmKi4uZP29+n9QBIlBeZbFY2Lq1CJPJxLlz59Bqtfz1b3/jzbcC+rq0HnvmmacZP24cSqUStY+O5MxhzJ06nBc+ep07f/I4iZHBqL9Yg2Hjpo189OFHNLe09Emt9fX1mM1mOjo62LKlELf7u++M+JIIlBdpNBpmTJ+OqcNEXl4+AJMmTSI9veebH/e1uNjYTjNbdf6BJA4egeJfG6htd/H1+/3hw4fjcDiwWCx9UCls3ryZc+fOERERwY03zmLYsGGsXPlJn9TSfwLl8SDb7XisffOfdjGP1Yrs6vzG8vXxIWfYMIYMGUpiQiJHjx7l5sWLmTZtat8V6iVms43WhhbmLJzGppXvcevEx4gJ0qNSQHZWFtlZWX1Wm9vtQaVUMX/+fKZOnYLD4RSB+iaSQoGj4jgdmzf2dSnA+c2/3C0tSGo1KCTwnE+WWq0hOzuLiIhwysrKCQ0N6eNKvz2nrZ3aU8c51GJg7m13sPM/fsjKgjncNWMEwQYfemlqUbeNGjWScWPHMGzYMFQqFRUVJ/qsln4TKJ+hOchOJ47y3plpeTW0g7JQR0QiKZTgcSFJCqQv3l0hISGEhPT/MAG4LG2crqwA/zRCjaFMmzyMnft2c3ZkJkY/7SV3Yf8uTRg//sKf3W43kgTKPnr2128CpZs4Gd3EyX1dxmUpPB4iIiIwBgX1dSle52uMY+birzZpuOdXf+eePqznSiRJwlenIykp8TvZHKDL+fvL7huC0B+IB7uC4EUiUILgRSJQguBFIlCC4EUiUILgRSJQguBFIlCC4EUiUILgRSJQguBFIlCC4EUiUILgRSJQguBFIlCC4EUiUILgRSJQguBFVwxUXyxlKwhf8ng8fbqC0dW44ozdo6WlpKeloVarv6t6rjEyzXWVHC0tx+TxIzUzg5SYUNwOG2dPHWXnwQo0QTHkjhxKsL8epWjvvcZut1NWXo7O1/eaWBG2u64YqKKiIhLi46/bQHkcHZw4tJONm4sprzUxbNpiln1/HgpTAxs/XUnB/jIa2z2cXf4YiyZmnV9fQfAKs9lM4ZZCIiLC+1WgrviZ6na5kWUZj8dDY2PjdbdVi8fShiJuLA/+96MsmZRB3ZGd1J+zYW+rRpkwlT///W/cPMyXNWs2UdfY1tfl9msej4e6ujpsNtuF95zb7cbj6V8rNHzjRYrD4aC2tpb/e/FFtmwpvK7uq1SBsYwclEh0ZCQxcUkkxUfho1KhD0hi3sKpBAWFsnD+bNwOKw67A9njwm6z0t7ejsnUgd3pwmGz0NJ6Dpu1g+bmZkxmK2ZzB60tLbSbzLj62RumN8iyjM1m49dPPMGePXtobzfhdrv7uqyrcsVLPo/Hw+49e/jTH//Enr17efLJJ3A4nSj6eNmo3iBJEiqV6hIr5ci4rC1YVAZShqWQYPRBIhLdF9/zeGRiE1LQ6X3paKqiuGgHew6VYZd8mb54CarTxbzw3iHunR/Pa2+uJ2vuvaQoa8jP307I0Ok8+J/fJyHoq0vF85/Knj7ZiqWvyPL5D+6NGzexefNn/NfDDzNt2jRkuf99eF9x1aNx4ydw6tQpzGYzbrcbrVaLVqsBBl6gMjIyeOkfL5Kamtrp6y5zE5+++Xf+8W4+SZOX8tTP/5MI/fk1vWVZZv1LT2LJ+R7TBkdQ8N5buIISGZ0dxpZ1a6gwjOKH4yVuXvIcv3vtZWLbivjZ3/OYd+e9DDWc4bNtZaRMv4Pbxp8/p9Vq5Zlnn2XFinewWq+NnS2+K7IsX7il0Gq15ObmEhYWxtw5c1i6dEkfV9d9V2yhQkJCOHv2LGazGVmWSUtLIyUlpa/XNewVMTExGAyGLl9X+gYyY+n9yJKStbsPUlxSxc25ieBx4TpXSbkjkSVJwfg76ymraSM+1J+o+EEsvicRu8eN03QMH30w6ckRhDbFofcPITEyjFgD6H1OYLLYvjqXUklmZiZTp07F4bB/l79+n3O73KzfsAG73Y5arSY0NISgwMC+LqvHrhiosWPGsOzBB3jt9TcoKipi3ty53HnnHQNyRz6NRkNwcHCXr0sKFf7GCMZOmMTZts8529YByNgdNvI2bGf8nJkEB/qhaK+lte0cRrMVSa3FR1KgsJtwSgoUCiUalRKVSoVCpUalVKBWKlFIUqd7UrVazewbb2TihAnX2SWfjNVqo2DLFlKSk/nhD3/I0KFDyM8v6OvSeuyKgfL39yc3N5e4+HjWrV3HsGFDiY+P75MVOfuUpMDH14+o6EgUwUE4rGZOHSzGFTmUzLgw7C2NmBU++LpaKSs5TGllGgEKG8fPmMmK6cFpJImgoCCCBuDqs1fyZafE7bfdxqxZMxkxYgQulwuttv89hvjGpZjVajWDMjMJNhrRarXXVZjO1ZTw2a4KAkNCUVobcepiGBGppaqkmD++8DJSdAa781filPXcfPfNTByXzXuri/nzC3VkpKYyfuoE2urLaW9vo6qxFUttHW3NDTS3tlBnbeJM3RkCY1uwOmV81dfPv+vFJElCo9Hw0EMPERUViUajoampqa/LuipXDJSfwe/C5V14ePh3UtC1RPY4aairor6pleiYOAbnpBFj9OFEpZ3whBQceLDb7WiCYzHq/EmZMhenpGNPeSNxKZmkxkbRWHaKBYum4bE7sUsGZkwdTYDeB1T+ZAwZhs7o29e/5jVBqVSSkBB/4e8qlQo/Pz06na4Pq+q5K/byHTp8mIz0dDQazXdZ07VDdtPW0oLDo0Dv54fet/9dgvRXNpuNY8eOodPrSbuo5/VaJjYLEAQvGnjddYLQh0SgBMGLRKAEwYtEoATBi0SgBMGLRKAEwYtEoATBi0SgBMGLRKAEwYtEoATBi0SgBMGLRKAEwYtEoATBi0SgBMGLRKAEwYtEoATBi0SgBMGLRKAEwYtEoATBi0SgBMGLRKAEwYtEoATBi0SgBMGLRKAEwYtEoATBi0SgBMGL/j9U6DZDq9uN4QAAAABJRU5ErkJggg==)
physics-General
physics-
A point object O is placed in front of a concave mirror of focal length 10 cm. A glass slab of refractive index m = 3/ 2 and thicikness 6 cm is inserted between the object and mirror. Find the position and nature of the final image when the distance x shown in figure, is 5 cm
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)
A point object O is placed in front of a concave mirror of focal length 10 cm. A glass slab of refractive index m = 3/ 2 and thicikness 6 cm is inserted between the object and mirror. Find the position and nature of the final image when the distance x shown in figure, is 5 cm
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)
physics-General
physics-
A ray of light incident normally on an isosceles right angled prism travels as shown in the figure. The refractive index of the prism must be greater than
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)
A ray of light incident normally on an isosceles right angled prism travels as shown in the figure. The refractive index of the prism must be greater than
![](data:image/png;base64,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)
physics-General
physics-
A bi-convex lens is formed with two thin planoconvex lenses as shown in the figure. Refractive index ‘n’ of the first lens is 1.5 and that of the second lens is 1.2. Both the curved surface are of the same radius of curvature R=14 cm. For this bi-convex lens, for an object distance of 40 cm, the image distance will be
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)
A bi-convex lens is formed with two thin planoconvex lenses as shown in the figure. Refractive index ‘n’ of the first lens is 1.5 and that of the second lens is 1.2. Both the curved surface are of the same radius of curvature R=14 cm. For this bi-convex lens, for an object distance of 40 cm, the image distance will be
![](data:image/png;base64,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)
physics-General
physics-
The effective focal length of the lens combination shown in figure is - 60 cm. The radii of curvature of the curved surfaces of the plano-convex lenses are 12 cm each and refractive index of the material of the lens is 1.5. The refractive index of the liquid is
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)
The effective focal length of the lens combination shown in figure is - 60 cm. The radii of curvature of the curved surfaces of the plano-convex lenses are 12 cm each and refractive index of the material of the lens is 1.5. The refractive index of the liquid is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAN4AAAEpCAYAAAD8h5yiAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAGkNSURBVHhe7Z0FXFxJuva5s3t37t27du+3Njs7bplMXIi7End3d3d3D3HiIe5CPASCBJdAsOANDTS00027Pl9V0SQNaSKTBGhy/r95J0mfqupzTtdz6q06VW+5gIODo8LhhMfBUQlwwuPgqAQ44XFwVAKc8Dg4KgFOeBwclQAnPA6OSoATHgdHJcAJj4OjEuCEx8FRCXDC4+CoBDjhcXBUApzwODgqAU54HE6I1fan88IJr9pjhdVkhMVisf3bubGazbCYzLZ/vSnkHpD/v9c7YHk38XPCq25YVFCJ0pAachcPr5zGsQsP4RUugEj1tpW1KmCASZWLvKRgBHmdwoVzl3DmYSpicsxv0OaZAFkGsp8lIDY5HwKVAUbbkXeHfLtejMLsRMRGJiCRL4fSduRN4YRXraCtmxji1Ae4vW0spravh/puCzDueBqSpVR49LgWGrkIYhFJp9BBZ6xIt418v14JlUwEoZBUVpXe9nl5qKETRyL25gas6dcQbRp3QecVPjidaMUrHyNWPYySVGQ8vg6vS164/OgZkiRaIuP3BWk7NTzkRd/BDc9TOHktGMHZahSa3/xecsKrblg00BbGIOjoFExr9B0ad1uCGTcLkammlcIMnTAK4Z7rsH3tNmy6nIingvfXDrwWCxF68i08PLIeK1cfw3XvZNuB8jDCrEtHwZPd2NS7IZp/3xl9d4TgupC1OeVAjohCkex7HAc8LuHYtRjE58gg1Zreo6tJvsNEHiCiBKSFnMfx3R7Ytv8BAtJlb9zyccKrdpBKYU3C00vLMLtVJwyZfQxHMwEpq3VmaAVBCNw1DYtnLMTsozEI41ek8LTQx5/DjW0zMX7ydpy48tR24BVYBDClHsKOUf3Rpe08rL2fgaRyVUfcS30ueLfdcXzNUiw+HIxbydpXiPRdIW2oJh4Rpzdj8+xlWHs2DI8ExD22HX0VnPCqHTpAchPe2yegd9PRGLfpHgLIR1rbUdo3Ecc+RMgjP/gkSJGn/HDV0iFFqciO9cNd7yjEPhPbPnwFygRIb83HrH6D0XLoQZyIEaHQduglrAXQpF/B0UWzMXXcVhwK5iPjgz9X9NA/PQXvHRMxcuY+LL+Qihxyv193VznhVTdMChijduDE3L5w7bISc0/GIo98XKoiGJQwFMkh11lA/nOMmVQolYZUK3sssDrqx7yVdkliSxHkhRooVOW1DeR7dFrWcmj4jxG7vQ+G9h6J9ksfwTdLU67LaCkIRcq5qZgwZAJ6zfWCL+l3lTp/qwlmgwbqIhWK1DroLVa7ssjfjcQV1hQf0xrIOdiOvBZ1KFJvLMTE7qMweNZZeGUbIbUdKg9OeE6EXq+HTCaDWq22ffIyVo0A+RemYf3ITnCdcALbfESkp0QqnEoMSVY8EiOC8OhhBMIT8yAuVfEoWhhkPGTEhiHMPwCPgyMR/DQV8XGRSIwOQEgcH6n5ehiV+ZCmByPY+x6u3YtCJOnbqGwl0AERvSwb6bGJSEjOQ77ODIOVnIEiDwUZTxET4IvHj6MQlaOGsFRrRM5EK4QgLR6xoaEIJxYWF4+H53Zg3yhX9BgyB6M8s5FY7DM7QAd5+FFcmtocXfrPwuBDaSRtmSEYnQCFz/zgfek6Lt+NxlOZ3u68DVBlhiL6wSWcux2OgGQ59G+svALkRx7A5h6t0LP7HCy4V4D48n8iBic8J4C+gxMKRYiMjISfnx94PNJpKwej/CmCN/XFzF6d0X19AM4n08qnhTY7DKHH5mHlyK5o3X0Rph8MRyJp7l7ULaICUSRib+zBjqVLsWz1Fuw4egp7DxzEthnDMX/0IEzc5Y1zsQqIE+8j/MAEjHfrhMZuy7HkYizSbaXAEIdsH3esGbcAs9fewAORHkqzEuokL/gcmImJnbvCbeAqrPPJRYK98DQ8CMIv4PTODVi3djvcDx/Gvr2bsGRYF/RuWBsdJ7ljXbABucSNexkqxkwkXV2ApW1ronW/NZh7Vw1+2cqvCEfWpYWY0WUAuo3dh6OpSghsh2BVo+DeRuyd3AVtRmzB0ktpkJen8ZcwQp5yFafHuqJry57oujkUD3iv9nE54VVxxGIJ7ty5g8WLl2LmzJk4duzYK4RXBHXOTZyc0AVD2w/B5LOp8FfQz40wSFMQ7TEKc9p9gc+bTMOgPU+R/tzPVMMsDkXg4eVYOWUyZqw+hL03H+BhkA/8z6zBsi710fTnFnDb6IWjSQokBd5A2JaeGNX8J/zvL6RvczAUabaSkHsDIbsGo1PTwegy8zJ8pCZoLaQlzbiJiF0D4FajLr5qtgArHuUggzVI5H+6VCTe9cC+RXOxaM0e7LpBvvtxAPwvrMLG/q6o/30bdFp8ERcKiHYctkIGcgn+8N89GANq1kKLYXuxNQplWlSC7BFSDw9Hn+8bokaH1dgaJ0e27RCsRci5NAurun2Hz1vNxejDCZC8sfCoSxwA78Wt0L2xK2qPOY3jEbJXvr7ghFcFoS2cSCTCkydPcPDgIfTq1Rt/+MOfUKduXZw9exaFhXJbyjKYMyCN2olVvXrArctSbH5cgJTnFVWO1HNzsaFvI7Sb5IGV3oVQsYplhUkejdSrizCvX190G74Ne4OFpP0gmPOBsPXYMqA9ajWahOnnw/BYbkAycUWfHR6DVcNa4ZeeG7DwYipkND19XRHkjrPT26Jp94UYse8peLbaZxUGIctzDIZ1HYRm487gcpoCGvq5MReK4F3YM2ME+g5egw1eSUhkOYhqEvbj0qwuqNdwPAbt8EcU0ajDymwlJeWch9eSTmj1vSuaTzwBj+SSkVw75IFIPzEBw+q3QaNem7ArsRA5tkOwqpB3bRE2DqiHGl2XYsqJZy/nfwWG/GiEbXTDgPo18V3XTdjok/XKfh4nvCqG1WpFYmIS9uzZi379B6DGzzXxpz//BS4uLmjRshVCw8JgNpfpu5QgC0XW5RkY3WUI2o06iotpSrAGjw5TWBMQ6D4Os9q1w8A1d3A81WLr38mQG7gHh0e3RteeMzDGIw5PSI1h32Dgw3BvHpYN7I7aPXdg26MsKEi/sEgch+idgzCrRws0m3IWuwOLbEPoeUjynIplXRug+cg9WHqvECWDprqUWwha54Ze/Sahx4YIRLDmyAhlxi3cXNQLo3qPwrDtIbhPlFosLh1MgetxaAoRXq+NmHc+GRLyqcMGz1IEJB7EBdK/q/dtCzSdeQ6ePLw8+kmF5zkRwxu0RePem7G7rPCuL8amgfXxs9syTPV8O+GZyT156t4XI+v9iG+aLcTCW8kgp1DuAA0nvCqCTqdD9JNonDx5CtOnz0CTJk3x+//5AxMctf/67//GyFGjkc3n23K8jDHlOkI390S3HpPgttIfYSKjTVykCopIH2R2f/R2HYqpxyLxiNTV4mlVxKXbPhpDGrRE55nH4ZFmgcpWW8yiCMTt7IexPXqj+ezbuBRHO00GWBV+uDG3EwY174RepD9zlflrpPMlImnmdUSvus3RebEXjqXaBEz6mAWB+3F0ZGN0HbIUky5JwKOjGtpnSLu+HDPatkGXoRuwLVqHvBL3UJ+GBOIaz+3VDs2mX8SeQEWZgSA7SB8S0btwZlwj/PxtK7jOuYjT5DYVP3Ts+IDCs0gSkHRgMMbX/xHfNpyFWdcT8Ix8zgmvikJHKHNyc1k/buasWahdpy7+8Mc/EaH9Hr/79L/wm9/+J/v7t999j5WrVpE+X3nvvswQk8p9emIzdBq6AuNP8ZFdMrhgzIY+fDM2DOuDFu2XY8PDTPY0hkUBU9g2eIzriAaNJmDsgWBEk8rGxEJaEUnUMRwa3gidOgxH/33JeEw8TyCf6MUD2weQfleLCZh1lY8o2kTp0iB5tAYrurmiUZ3BGHMkCv4lQ4bWTMRfWoIl7Zqh1+T92BZP3EDaRGaexv3VvdGm2Qj0XnYLpOEsHv63Ejc47TyOj2uObs26ofeOCHhl0QPlQIX3ZA/OjG9MhNcCjWddwCmSvvwWrx1c+2zBHtJffS484vjmey3BlkH1UbMbEd7JFJv7XIKVeRpms4V4JbaP7LBIEvHMYwjGNfwZ37rOwZwbiazfywmvCiIUCnHl6lXMmjUbrdu0xVdff83ERlu4EsF98pvf4o9/+jPatmsPT8+TUCodTUqiP68AiZeWYk0XV/ScehAbQkwvRuWkT5F7bjym9O2DxiM9cSrW1vHXCZB3bhIWdm+CH7usx/IbGS9aCXEIog6Nxoj6P6FuF9L/81YjhQksFpK7CzC9Qxc077kFu2LkEEIFfZYXHh+chEHNOqBRm6VY520TN21VVb7w3TkBgxr0xJCV13FTS9tA0rI+WosDoxqhVscFGHswnki6GKs0EnGnJmNSoxpo0HwSZtzkI9ph586GhSj82RFcmtEC9b9tgsZTT+NoOmnMy9Z6+WOkn5yA4Q1Ji9eHtHilhKclwlv6Qnin7IWng1kjRk52HrJy5dAZX3b1zaJ4xO3uj5GNfsG3bZZh6Z1U5NqOOYITXgVC+29yuRyxsbG4fv061q5bB7du3fG3v/+j2KX8j0+Y8KiLWWIu//Ef+PNf/hejx4zB46AgGAyOaiCdmvIYD92nYkyz7hi//gxOZ6qQLtNDYzBDn/EQj9d0wZCBI9FxzWN4heXBoFKhqDCDNBQDMbZ1Xfww4ADcg5n/SZphHkSPd+DA1PZo/FUzNB1xAIcyiRbpMcF9JO4bin6dR6PzvOvwzcuDRJKOp9d34/zqAejVYyRajjyB477EVdNroTEpSf/uMM4uHIJWLWZjpvtdPDXIIFApEO85h7SQP+Gnnmsx94a4uKVV8Ylbuguei9zQsmY7NOm5EfsCnyFJr4aEXKbjOd3Uzb2Ku6u7ov13dcnD5RDc48j5Fnc8XyAPQsbJcaTFa4w6bmuwMUb/XOzQZyLx2HjM6lwH33RcgTknnkCqU0CpN6GwKAeiVG9cvngPF+4kQ1T08m9gpIMrm9wwwLUefujtjh1+ebDdTYdwwqtALMRVSU9Px4EDB9CjZ0/8+4sv8d+//x/Wqv3mt7/Dp//13+zfpYRHBPn//vo35mbyy+vfEdcMWZ44PXcg2tQegDEbDuBMSioCUpWQEldWHHMCJ0bUQze34eixKRinvUgLKBAhX5aBmCOjMLVNDXzbYRkWnHsKnpiP3Ojr8D86A3OHuqF2rREYsMwL/qSVom6gJf48fJe2R9tOo9Bp0UU8jCbuaWQkru4jfaz57TBg8GC4Tj4Hj/MhyJPKIVHlQ3hvCTaPbI+f2y/GrC3nEZudgpj8Ajw+sQhrun2Hn9pMxfB94UjIyUbek3sIOjILm6a7oW7jQWjWfzOO33qIyHwhksllal5ubAhEYeYIhB0ejdF1aqBpv61YEWBCXtl3fvJgZJ4ag1ENvseXDUZixNEY+GZLIJULIU70hveWgRjd+hf8q9EkDFviiceR4XgiKEKmMB6pofuxeuVeLN8Zgiz6BCiDhu+PB4tao2fzVmg0/Rp731mem0nhhFeB0NcEVDwXL17EuPHj8eNPP+G3//mfz11LKrT/+cMf2Z8lAqTH/vX5v3H48GE2c8UhRjGsYRuwZ2hDfPFZCzQcthpbvJ8iWKCF1iACP2gj1rT5AnW/dkWTycex4WIcEkVqqLQi0i9bhW2DSL/kiwao2XYEJq8/gE2HLuDszllYM74zGrktw2SPGFDJ04qkjzoNr6l10KR2bXzedhpmbTyOC48Tce/WeZyb3gDdm9TEt302YP6hECRIdcQ15iPzxGjMbvU5/kYeCp1mHMLViEw8kyuRG7QPJ8fXQr3vauFL1yEYs3Q7Nhy7gQuHNuPEnDZoWb8J/t1yNuYfvAd/ngzCcls8+qEEGXfWYaNbTbTuvQiTLomRUdYrl4Ug+8wYTGj2OXHfv8HnrgPRYxwpf/Mh7Dh6Bdf2zcXmEXVQ45s6+KzmIIxbdRLnEsQQEg8gN9kTG1btw4qNgeCJns98taGDPOUKTo9pip7tB6Hfvnj45ZZtbkvDCa8Coa4mHUzh8Xjw8fWF+65dmDBhAtq0bYsvvvyKiY26mvRP2r9jAyy/+xQNGjbCzZs3baU4wCiHNf4krq4bjX59JmLIQtKPC8oB30ArJKmwcadwbMZAjOo1EhM2XYJnaD6y2UOb/C/fB48PzcSUHp3Qtn1fDF56EOvPB+L67jnYObYV2k/2wLJbYpSM0+gz/RG+fyJmj+iDTkMWY96OW/BOl4GXE4OgfZOxmHw+eNFhuN/PRDqpn2YNaVnvbMSeqT3Qa+QCTN55Dw+eKSE3kXOThSPu3CIsHuyG9m17ov/s7Vh1NQ7+wYGkjzcPq6aMQq+pe7DlRgISxMZXtiAUZeJl3F/RCb36TEGfzVGIFpWp/Pl+4J+fjLmjeqF2465o2bwjuvUdjlHLDmLz+QhEhNxDxNl5mD+0O1p0mIixG+/gdoYCRtKLVYhuY/8OT2zbEQS+uKzw+MgL243Vvbqi38A12BJciAz6kvIVcMKrYKj4TCYTtDodFAoF0tLScPjIETZ4wgZWSD+PCo66nf9JRPf3f/wTgwYPQXBwsK0EB1hJn4M8lfmJ4Qj0f4KoZAFEajpDk2KGTp4FXkQAwoIjEUVajgK1ydZykP9ZNCjKJRU74D4ePAxBaIYA/Pw4BLqPxUK31ui76iYOxVno62yGVSeGIisaUSEh8AtNRkqeAkUGC0w6OXnqh+JJWAiCEvPBlxvBdG/Rkf4PcdWiH8MvPBlPeYUo0tveIVr10JL+YVqYD/x9AxCQkIsM0i9Vq6XQ5MYiLjoGIU9zkSPTQe/QxSyNVRmLvPvLsWD0FPSdehZeyXL2kv45qTeQ7DkNizYdxLS9frh5/S4eh0QiLFWMPDnxDnQqqEVJSHrsDV/fcISmF0Gso1+cA0XBTezd7omtO4OQU1Z4ygDEX1mCCQPmYeKqOwiis3Ve85TghFfJUPfz1OlTaNqsORPdf3zyG+Zi/paI7hPy9xo1f8GKlSuRkpJiy1EeVliIqM2OPBxaCWjcleJ/OcaiR/FgHSlA+wg3lw7GsOb9MflIBB4Ql61sPaLv8EuHHSH/sBCxkz9e1oiZPXDKXexuJa0ZuQ+l85FrKS99uShhLgjA3S1zsXjKMmy8m44ndu8UtOHH4btxEMas9MTS23KIFOW47iY9O58X94tPhHcLe3eewnZ30neV2AvPCCkp9+a6yZi6+jx2+wvLvIZwDCe8SsRCai6dFjZ23Dh89/2P7B1ep85dUL9BQ/z2t79j/bvmzVvg9OnTkEjovI0KwJoDbcw2bBjYDa1bzMWqe2nsRbDTYFFAGnwSt/euxOqDd3AqTAzaQNEWW+azDcfGNkDTfksw+kQW8l8eI3GMJQ3CtFNYv2wnlqz2RlKemonSalRDI4pH6Knd8Fi3DYd8khFBHlKvfMDZ4IRXifD5Odi6dRtq/lILjRq7YudOd3h7P2Qt3N9trxi6deuO0NDQ8qeJvW/EEUg/OQbj2rRFXbfN2BmSgwLbIadBkwfBEy/cOHQAB8/4wIdngMxsgdRnC/YPq4N6XWdj+KFk5L6mH/YcQzyyInZj2czlmLboGoIyipiQDZJkpPuexoXjZ3HiThLihQaU7f2VBye8SsJkMuPChYukRWuJf/zzM0ybPgPZ2dlMYLQ/N2jQIPztb3/HYNK/y8p61bSN9wFd4KqEQpCClIcncXn1SIzu1R/dJ7pjh/czpMiJG2pL6SxYtAUQRPki4L4f/OILkKPRkz7oQzw+sQGb9l/B8cdCyN90wZ0pH1JeIO7fuIvrd+OQRppQk0aOouwniA18iIdhyYgTAbq3cI054VUCdHAlPj4Bw0eMxP/9v7+hc5euuHv3ru0ocYlkMly+fAX9+vXHokWLIZW+bj3zu0L6YCYxhCkhCLlxFueOHMT+PQfg4XkF5/2SEJdfdiW6s2BAkVCA/Cw+ClRaqA1q6OVCSOVqyIib+fZ9SBtW4kwqC6AU8JApLILwTVtOOzjhVQIZGRnYuGkzm39JVx8cOnSIjXCWQAci8vIEpG93BlevXnvlivP3A6mBNAKYkvSH8nKQw89Dbm4e8guEyJcUQfFeI3RVMBYTTFry4CAexnt11o2k1dNp2Qv9X1MuJ7wKxmg04tq1a2jZqjX++dm/MHnKVPZKoSxEe6zy5+TkshaSo3rBCa+CSU5OxuzZc/D5v79Ax06dcPPWrVfHUPm17hBHlYYTXgVC19zRl+W169bFl199jfUbNrD+HMfHBye8CoK6i4mJiRg8ZAj+39/+zlaXBz0Osh3l+NjghFdBFBQUwOPgQfxSqxZr8Y4dO15xL8U5qhyc8CoI+m6ub7/++Ps/PsOIkSNZX4+OXnJ8nHDC+8BQaWk0GuzZuxffff8D6tStjyNHjrLPOD5eOOF9YIykbxcdHU1auVFsJHPS5CksihjHxw0nvA+MVqvFwUOHSEtXD3Xq1MWZM2fZ5GiOj5u3Eh7tk2iUSihEIqhkMujUajZEzpljo6KjI5ljxoxlrV3fvv3g7+/P4qbodPqX0nNWsaYl9VdL6rGJBpCq4P72GwtPbzSyldPeV6/gwu5duH3SE34PHsA/IBD+gY9JhQpglYozfwSQe0Lt0SM/7Nq1G/XrN8S/v/iCrTa/ePESG2ihxx3l5exDG6mn5N77BZLf5949PDpxHIm3bxIBfuj5sKV5Y+HxsrOxfv169O7YAe0bNECn1m3QvV9/9Bg6HD0GDUa3Xr3RrXsPtoylWzf650ds5D50794TvXr3Yevp/vd//x/++Kc/oV69+ujUqQt69OyF7j16Os7L2QcwWieJ0frZqw+6k/raYxipt336ok/LFlg9biyePPKBrshR6MQPwxsLLyIiEi1atWLBef70+//Bv//4R3z7h//BN3/+M77717/www8/4oeav+CHGj8X//0jth9/qoEffvyJRRH7y//+HwtQ+49//hPfk2M/0ftDjv3wo+O8nH0Ao/eb3ndaP8m/v/vnZ/ia/ia/+xSfurjAtX4DnDmwHzIB3UmwYnhj4T15EoMu3dzwuz/9BT999hmmfPsVNv/tz1j71z9jU/u22L1iBQ4cOQKP4ydw4IAHC2H3sRrd0YcOqIwaPRpfff0Nmx42dNgw7Nu3Hyc8PbHfQR7OPqAdPMTq5oHDR7B72RJsbtEUy//yBwz9z0/wNyK8H2vXweFDByERCm21/cPzxsJLSnqGsaSP8jV5cgzq6oZHy5dAOmMiMlo0RHr3TsjfvhnK6EgWgo6tzjWZ2CDCx2gUM7n+ffv24ZdatdG8RUscP3ECRUXFIU4d5eHsA5nZzOojHQhURIYjf8NqZHRoiaSWjXHBrROaffklajVshKMnT0IqL2cXpg/AGwsvITER48ZPwM+/1MLUadORFPMEiAqHbN4MZDdvAH67ZpCsWgrDkyjAUkFhCqowdCX52rVrWWs3YOBABJDOPEclQRoDPamr4qULwG/WADlN60O4fCEeHTyADu3b45c6dXHk+HFIK3DC+lsJb+y48ewJPmPOXKTl5NDFZTDSC1q+GNnkCZLVpB6E0ydB6+dDH+u2nB8nBcRtobv+0H4e3VCSThHjqARURdA8uIuC6RPBq/cz+C1dUbhxLXRxsQgODECnbt1ZzJsjR49WbeHRk5w6dRqe2VUkXUI8xFs2ILtTG6TX+gG5o4ag6LYXzPKPc8kLfd8Zn0BDO4zAN99+hzVr1kCQV3Edd45iTCIhFFcuIHfkIKTX+RFZ7VtCvscdJl4mm8oXHB6ODp06O5nwnr0I+mal/TlyMfKjh5DdozMR3/fIGdCbXPRFmCtwiLaqQFeZR0RGov+Agfj+hx+wfft2tlkJR8VhzBdAfvo4+P16IKM+ael6d4Xc8yjMogL2spwKLyg0FB06dnJe4ZVgEuSh8Pxp8Af2QtrP3yC7e0cUnvaESeh0AeLeCdqpDw4JQe8+fdlrg9179jwfWOH48NBGQHpgD6t/6bV/RO7QAVBcPFeqHtLgv3T3pWohPIpZWYiim9eRO2IQ0mp8hezObVhLaKzAdySVDW3xwiMi0G/AALYiYfuOHVyLVwFYzXRLsjRI3LcytzKj4S/IGzcSRXduEs+r9IOPRvCuVsKjWAoLoXpwD3ljhiOt5rfIatcCsn27YaQDMh8BtI9H+8AjR4/G1998ixUrViDnI7n2ykT/LAnijWvAa+WKjEa1kD9jEop8vGFx4G1US+FRrFot1H6+EEwZj/Sa34HXvCEkO7bAkPJxjO7RH3H23Dlsiy26JVdMTAwTJMcHgNxWXcwTCJctQqZrHdLS1ULBgtnQBAXAQuqhI6qt8Ci06deGh6Jg7kzma/OaNSBPpLXQJyWyAZnqDBXZ1m3bWItHdwKiIf0qLAz7R4TVoIf2STSEC+Ygo97PyGzeAMKVS9hnVmP5r7SqtfAoVr0euljyNFoyDxkNaiKjcR2I1iyHLjEe1mr+op1Gg27RsjW+/a74lYJKVbIbP8f7QhMRivw505Fe5ydktmgE8Zb10MU/JYJ89Xvkai+8EujNEK1aRsT3C+v0ClfRp1JUtW756DS7efMX4LN//QvtO3RAQGAAG3jheHeosDRhoRCQflx67e+RSfp1Evdt0Ke/HBzYER+N8Oi7E31qKsTrVyGD+uGk5RMuW8jEZyHuQnWELra8desWWrRoScT3OWbOmoUnpK9Hf3SOXw8TXWgw8qcR0f3yPbLaN4d03y4Y+dm2FK/n4xGeDfpEEtOJqk3rIb1+TRQsmgNNZDjxx6tnS0BHM1esWMlmsNDlKcuXr3iDTSY5yoNuGKl+HADBlHFsxJzXthmkHnthyOLZUrwZH53wKIa0FDbFLLNpfdYhzp83E+rgoHJHoJwZNoslPILdM7rPOd2khO4AFBISAiX3Uv2tsGjUUAX4IW/C6OLXVO1bQHZwH4x5ubYUb85HKTxy1Wx2gWTrRtYhpv2+/DkzmPtg1VVP8dFQDzT2ytdff8NGOmnUsavXrkMskXD9vjeAekRq/0fIm0hE9/M3yOrUBvLDHsUTM37Fa5qPU3g2DBnpkOzYyl540kmsdHSKia8armygcTRprJUFCxaye/jXv/0DDRu7Yt78+bh48SJS01K51w3lYDWboKKiGzeSiY7XoSXkxw7B9A4Tzz9q4VEM2VmQ7tlZPNug/s8oIG6nJiyEvZ+pjiQnp7Atl7t0cWORxz7/4gu0at0ac+fNw6nTp1lloJHJ8kilKipSffRiZBMxggKQN75YdNld2kJ+/AhMYpEtxa/joxcedROMublsKJiJj7idBQvnQBvz6hegzorFbIFEIsbjx4+xbt16tOvQAV99/TXbK4/eW7pMZeLEidixcyfu33/ABmfMJM9HCakbmuBACCaPRTp1Lzu3QaHnMZgK3n3SPSc8GwZeBiTbNyOzWQOk16sB4dIF0NH3fOQGVVfonuc3vLywbv0GDBo8GK6uTVhAJLp4lg7C0DicFy5cYPE5Pzbo7067HXl09JKKrl0LNtn+fYiOwgnPDkOmbcClST1kNKoN0YrF0D6NrfbTy6iwEhIScP7cWWxcvRKjhgxE1/ZtMKRvL1w6fYLcmI9MeFoVtBFhyJs+EWm1vmN9OtlhD5jeYzAiTnj2kJtBWz4Rfc/nWheZjWqx2S76Z4nVuuWjWK0WKArlyM/hIzkhDlGknxsZEoRccj9g/Zj6eaTrER6MgtlTiei+Z+/pZB77YCT35X3CCc8B+uRnEK9byWaZ0z6fbONqID0Z6UozDj9TwT26EO6xilcbSXMgXoknYj3MDvYqiBTpsetpcTqH+e2NpDnxrAjPZAaYywxdG0nZD/lauD8h5TxxkNfeYkgaUtb1TDUkupfFRNu1e8ST8iRaO8EDDqeZsC9RXXyeZcui3xWjgH+eFnrzy9eXqTDhaJKSfJ/85bxljZzT/ngF4qWOB7QihXrsftN7FVWIU8lFyFO97KWojRbcz6b3iqSj96ts3ng13OPUuLDpEBLr10J+ywaQ0Rkp71l0FE545aBPSYZozQpk1K+JPPIDmPZtxVn/ZPz1ZB5c9uQQyySWUb5tT8fvPDIxK1CCZDkVjK1gAhXPmgg5XPaSMralOc5fYruJkbL+cTwb60genvLFOzdaZJ7ahMH3hXDZkQ6XncQclVFiu4iRdI0v58GLp4bG9OKk6F8DBXo0vJxPyiHntS8LLvuzyZ88ktfBtdLv25WOYd4iJMr0MNk5BGpS2MEEJf56jJRBr49eQ9n89kbSfEru1SYiUiqOkrOi9yxLacKMAAm5VyQd/U5H+UuMfs+WNHx7io+b5Prsz0lHCnuUo0VHL3p9pBx3Wx76Gxwg13mI/K7HxHA5Ikb3KR6I7dIZpu1rP4joKJzwyoPcGB1xMYWL5iK3/k+QdmiKnYt3kx8slRip6JtIhdpE/l6erU2Gy+ZU1D6fg2PkyV9EKlQJCr0ZU/xJZaLpVpN0ZfPa20ZitCxS6VpfFbDWioYNoNDWLjRfC1ciJJZmXYrjMkpsAzlO0v2XBw9zgyRIIi1oCUINad3iFPjTYSKW1c9IWgf57Y1+1/oU/HIuB2dICyPTFV8fbdyjSSs/1pdUYndSwen10WtwVEaJ0TREfMO9hYiTvPAQCvUWnE1RocGF3OJ09BrL5rU3+j0rn+E3+3nYFVv4/JwoKXIj5gdJ8YdD5EFCzpsZzbOZ/I47yDXvpg9U8ru656PN+vtI27sfiIuw5X7/cMJ7DbqYaEjmTkdO7e9wtlFrDFrgiQFXszEysAjDfaWksogc2wMRaw1mkhbvcrqKCK/kOQ4oDWZ4Etdx4D0hhtwpcJy/xB4SI2UNfyjGgmApcSs1pD9WXJaJVNCnpJKvJi3hwDtCDCMtn8My7IymmfhIjL1PC1lLXIJYa8K1DBWm+osxmJwTPXf23SVWtpwHxd+3OESKu1lqyIlIKPTUYsg57SRu6EiSb8hdck4O8tvbMHIfRpA0e4nw6cOgxJ2mwruWocbcxxIMoffzvuP89jaUnPtU8lC7RVo8mr8EKrytT+QY7UPSkXNn6R/JMNxHjEEnotFn0Rn0nHQAvVfdwM4bTyDPzAIMH27zTk54r4Mtpg1BweQxiK35A4K79UTKmYvkJpGnvMFabOTJ6sikxERaMxQGSylXkz7QpeTzbOI2CtVmh3nLmkRLyiKtUhEpqwRaJHWh8om7yS8ykTSvL4t+b3E6c6m+Gf2rkpSdpzKy/hE9d0f5S4wep+VISTnUPbQ1Ugwt8fHosTxyTkLN68+JphWRdPQ+GewKoq6inJRPr4+WQ++Bo/z2JibpaFlq8qCzPycNOcc8tZGVJSMeB/vdiDCF2XnI2H8AsZ06ILplCySuWgthbAIspg87oMQJ7w2w6HVQ+XijYPRQCOr9AOXQ3sDDW+SAzpaCwylRk4p+8yLUQ3pA3uAHaCcMAbxvkifQhxcAJ7w3hK5cKLp9E3mD+iCjxjfIHT4Qal9vWNVqWwoOZ8Kq1bCgx7nD+rMVKjQIsurhfVhUFbNigxPeW2CWSKC8fB78Xl3YpGrB1PFQBz+2HeVwFiw6HTQhQWxNXUbdGizorOLqRVgq8CHKCe8tMYuEkB0+gKwOxXEThcsXs1cP5E7aUnBUdXRxT9loNQur3rEl5CePv/Ok57eFE96vwJCZzuZ18lq6IquVK6Tu29gqB46qD10pLtm0DpmN67B5udK9O2EUCGxHKw5OeL8CFjYwNgbChXPZUqLsbu1ReO40TNKK3cea4+0wyaSQeewlD8zGrF9Ho80ZsnnF70AqGE54vxI60kn7CXljhyP9l2/BH9ibhequruv4nB2zXA7FpXPI6tQa6T9/i/zZ01jYx8qCE947YDGZoLzlhZz+PZD2y3cQTBwNTXhotV/N4GxYyUOy6P5d5Azuw2Kl5I0bAXVQYKX+Tpzw3hFzYSEU504VP0lr/YAC0mnXJyfZjnJUNlazBZqIMOTPnIyMuj+BTx6SypvXK337Nk547wG6/RKdxZ7ZtB5bx0d3izEK3j7yFMf7x5idVRxLtXFtNhItP36Y9fUqG0547wkaOInGzKdh4rPc2qHw7MmXtmbiqFhMYjEUZzzZVm10cbOE7ptRRTat4YT3viA3Uh3gz4LipBOXhg66aIIeV8tYnU4B+T1U3veQO6gP2y0qb9JYtqNPVQlczAnvPUJHzpTXr7DtoNnL9SULoEuIsx3lqDBIpdY9jYFg+kQ2gsnv2x1Fd29VqbCNnPDeM8b8fNbHoy9neS0aQ7pvN8ySip0V8bFD+3WiDauQTtx+GrpB7nkMliq2Fz4nvA+APuUZ25iQxuzIdusAxbVLsFTDCNVVEbNYhMIzJ59P6aP7ZBgyM2xHqw6c8D4Q6kB/NuOdhobLpf29J5HVMk5nVYLud6jyeYDc4YOQUfdn5E+bAG0s7ddVvfeqnPA+EGaFAsorF5DdtR3bnpdukvKme6dx/Dro9C/hyqUsQBW/Z1dy/y9W2cEtTngfEFO+gLk6NExgVpe2KLxwFlYdt3j2g1AoY+/o6AaRdO9D6e4dMFXC5Oc3hRPeh8RshibkMZtKRvdgF0waA11UOMx6A4REf/EyI+IlBsRLX2NiPdIKjdDaRQUrwWC2srAPrJzXlWVLk03S28VeYtDQCs/TlM1X1sQGpJLzoaEiykLjpeSo3u58aCQxR9emI5+lK8g9ItfvML/UiATyZ75cDcUjX+QO7I100q8WzJrCdgCuynDC+8DQxZWKS+eR1bEVshrUhGj9KmQ+y8TWZ0Y0vVaAJudz0eRyXvl2idiZHBZ8iFYye2i0sXiJHnMeS0k5JN1Fu3yOjB4/l4tFITIWv+QFVhxJVBaneZPzIWX0vydkAYVUZRRcqDNjRZisuJwLZfKWNXo+JN0UfwnCCnQw2gemIdA4oqN9xOz62feWzX9FhObXBNh0IwZPVq1jLZ2gXzcUPbgLi+bDBSp6H3DCqwCMuTmQbl6H/IY1ENOlE/ac8cePt1Vw2ZwJl1XFIffKtTXEliTivw/ycDerdGXKUhqxJlxWHLJu5bPiMHmOyiixVSTN0iQ0JJWYtnol0KhlNLqYy1pyLsuTXs5nb/R8lpNydqazKGIRotKuc0ahgYmClUPPyVEZJUbPl6T51IOHZaFSZJLWrQQa9Ohaugp/PJRFrp+URb+3bP4tOXDZlYeftwZh97jFSOjaCepdW2AulNtKqbpwwqsA6Po9Q2w0lJNHIsC1KWbO2InahxLxmWcO/uWZh89OZJdvx4mRitmaPNn9cksPFDwR6UlrIUaNs3x8diyrOK2jMkrsKElDBDzGR4QCdWnhbY0uxD+PkTRExA7zlhj9DlLOd6f5GPpAiPv80uES0okLOooI8p+0HPp9jsooMVoWOW8am5MG/o0h11OC1mzB9Qw1WpHr/ic5Z/tr+9cJPv51Mod8loN/7IhBg1lnsWr8aiSt2wCEOUcoDk54FYVOC82ZE4jv1gWXWnXBqbX7cTMmF3dzDLibrSnfSCt3J1PFQqULtaVDzhWQfplfnoZFTabpmDkqo8RYWWpEkg4m7T/Zk0jcWFrRb5HjDvOWmO177pG/B5JzyikqPQVLqbcgWKDDDdJa3eaVyVvW7MqirqbY7vpM5GFAW2VvvoaUZbs++7y5etwIfIbTc9fhePNu8Bk9BZJHjwBV1XpRXh6c8CoQQ3oa25Mhq/7PkA7sDgR600+LD3K8HTS04t2rUHZrDVGDGlBuWA1zQb7tYNWHE14FwvZcC/RH3sCeyK73E+SL58Ca5nzXUflYYYl7AtnCmcht/AvEE0ZBHxZCnmHO8xDjhFfBmEQiSPe6I7NFQ2S1b4nC86dhVhTajnK8CRalErIDe8g9bARem2Zsa+SKDM33PuCEV8HQZSl0xYJgxmQWKIm+29OEBduOcrwOGsaB7tSaO6QfezdKA07pEhNsR50HTniVABVfIQsX0QoZrrUh2bGZa/XeEEN6KkQbV7OV/vxeXaF6+KDKrLF7GzjhVRKGjDSI1ixDBunr5QzqwyKWWbRV+6VvpWO1oujWDWR178iEJ96w5r3tSV7RcMKrLEwmqAMeIadfD2S61oV40zoYeJm2gxwvQURnyOVDtHIJ0uleByMHQx0YQFxP5wynyAmvEjEJ8iBet6rYbertxtwmDsdY1Cq2v0F2tw7IaFIX0n27YHHimDac8CoRGopA7U9avUF92eYZ4o3EdSJirIzIxlUdGjY/f+500trVYOscqWvuzHDCq2TMMikkO7eyNXs5fbpB6XUNVm61eiksGjWUN64iq3Mb8Fq5Qn70IFty5cxwwqsCqB49RM4Q0urVrwnh0gUw0laP4zn6uFjkz5tZHL1t/EjoExOcPlo3J7wqgJE8vWmfJYO0elmkD6Px9SYfcq0ew6SB8fQRZLdrxha5yg7trxYhEznhVQVIn04bFYncof3Ba1SLDbjIEpMgovueMzO/2jTF+4fb7/ldAv1Ioaf7pzvIV9ZoGmJl19iVYCJfQPcZf9Oy6KTnsgtczaRo+ZueD7l2QZYAvKWLkdnwFxRMnwBNZDibeufscMKrIpilEkg2rkF+83pI6t0D23ddwUBvGQY+JHZfWL7dJXYrH5ui5JASUZSFrk5fHS4naQow8F6ZvGXtDklzR4gTz4rYxv9liRLqMT1AgoE336As8n108e697NKtU67KhJX0fG7mv76Mh3L0v5aNLaMWIaltC2g9Dzn1SKY9nPCqCgY9tPduIn3yRBzsORrfz74Mlz1CuGznw2VjSvm2LpktJv35bA4iiTDsW70cIrrtMYXFi0npotP1DvLbG1tIm4LBpNIXklapBBrOIVluwAwiOhf3DLisIuk2OMhvb3QR7NY0bIgqPSMnVqzH96fJNa1IIudDynGUl9oW8j17xXA5IEGNKadwYvISSMPCbaU4P5zwqgoWM6xZ6Yj0vIgp03fhs/m34LI7A//hwcd/7M8s3/aQNDvT0fRKHnxytMSVe6E872wN+pBW7E+Hs4rT7XWQ396oqHZlYMIjMQo0LwYvdKT5O0laweZX89hqcVbWPgf57W1HOku796nCVkox8VI9WpByXLanFZfjKC+1feQYuX6X7c/w5Wo/zD3oi9Ss6hMYmBNeVcKgQ0pgGPZPXY2lfWZg44aT2BeSC4/EIngkKB3agTgl3KMLcTqliAUGsm/xokkLuC9OAfdYBTziSXpqDsoosf0k3Q5S1r0sDYrs+nk0oNJDvhY7Yguxh5T3unKo7Y2h31tIzqF0aAghEfSxZ0psiZCzc3eU1yOhCHu9k7F13QmsHTgHGxbtwaXQjFIPA2eHE14VQ5mUhLT58/CsUR2IJ48G0t5srz37lq4EOkhi7zK+CbQYOohiD/0nHbwpchBV7FXQcypbFv03jU6mKxPYqCzWID/IxwyGoN6PEC2dD3WBEKXX3zs3nPCqGGaJBMrTnhB0aAGxW1tY7nkBxo8tFqcFhuMHIWrdCOLOLaE7e4Iotnqt1OeEV9UwmWBMTIBgzDBkNqwN8aa1MH5Mk6etVhjzclGwYA6LCJ0/Zzrb+ae6wQmvCkJXWIvXr2ZxInOHDYCavlD/SKDxMFU+3sgZ0Au8lo2Ld3CVVv4Oru8bTnhVEDodSnH5Attnj4Y3kB0+QDtMtqPVG7qFtXTXdmQ2b8RWbGiCAtlmJNUNTnhVEeJu6eLjkL9gNpu/Sbf8MubmVssKWBa6u0/euBHMzSyYN6tKbrH1PuCEV0WhoSDknkfZbHx+/54o8r7H1qRVZ2jgX+UtL7a3HQsEdeoEzBVYGSsSTnhVFdLqqR8HIKdvdyK+JpDu2QmTE8WN/DXQMA4S923IbFyX7SGvjY5y+lUI5cEJrwqjT01BwZzpyGxUB/kzJsGQkmw7Ug0hFZFOgKb7lmc2rgPRupUwy6tna0fhhFeFoS2AbP8eNrrH793V6VddvwoaKUxx5SL4vbqA16Ypi5VZnVfic8KrwtAgrSrSt+P36YYsUhkVF885XeDWN4W+RpBs24TMpvWRM7gfu+7qDCe8KgzbZSgjjbiZk1kkMtGGNTDwquconzEvD/kzpyCjYS0Ily6EPiHedqR6wgmvikNbAvHm9cWbLo4bAf1jP/Jp9XLBaNAnGh2axhfltW4C+YkjMIvFtqPVE054ToD87Elkd2gJYcfmwNmj5JPq9TKdLgIuPOMJXrvmyO7ZmY3mOmN06LeBE54ToPF5gKzxoxHauSsCtx9ApECFKLEBUSL9q61Ah6cSPQvBYL9IgK5aSCs04InYQZ7yjJSVLDNAXSYshExnZlsmRzvK48iE1HTIVhqfPz7Y9mV0ilyTesgdOxx68u/qDic8J8ASE47UzZuxY9wSdFt6CfXO8VHvshD1LuSWb+dzUfdUDjrfzGcbTurtluHQ1eSrwuVoez2fpWPmqIwSo2Wd5GO8r5jltYduQjkjUIJmVwTkvIrTOiyjxM7koO7ZHGyMkqMkBrTuSRTy6WuEFo1YlDVnD933JnDCcwZyeOCfPoOdU1bjmylnivdO35rz8p7g9sb2Tk+Cy55MHElQgu4pXgLdLnlRsIztq872RaehHByVUWI0DSnr21N8xJBW0p4I0noN9xYVh4RYQdK9bh92297ofe4KUbJThNrPF/x+3ZHVvgWk+3ezWKPVHU54zoC6CIV3b8Nv6ChM6r8IX++KwddnCvA1EUK5Rlqorw9noQ1p1eg2zvZojFY8ytFiBBHM1yeyi81RGSVGjx/JxvCHIrY9sj3U1byYpkJnr3x8fZSk83xNWcfI8ePZWEFaXLbK0GqF8uol8No2Q3avLlBeuwKLqnoENHoVnPCcAasFmohQpPfrBd+2nXB9/1ncjxPgIRHPKy1Lg+B8HQvJZw9t++gq8KcSAwvp8JCvcZy/xGiabA3rE5YN10cbUtqHDCd9N5rmtWWxNFrishb38eh7SdnB/chsVp/179ShwbAanHMjkreBE56ToE9JRsHooRA2qwPz5hVAbjV4n0cXvebwIVq9HJlN6kG4ZD4M2VnVIm7m6+CE5yQY+dkQLVkAfqvGkM6aBEt8rO2I80InQGufREEwbSIRXl1I3bdW25k5ZeGE5ySYhAVsc5Osds3ZqnQt3WzfybHo9cWrzYf2Z1PF6Ivz6jw/0x5OeE6CWSYhFfMosjq2Ar9bR6j9fGxHnBfautGJ0dm9u7KX54orF2xHqj+c8JwES5ESSq+ryO7Ric3eV966YTvivFiUCsiOHkRW13ZsIrjq3m3bkeoPJzwnwarVQh3oR9yyfuC1aMSmWNE5js4MXW9HVyTw2rVA7phh5Pr8bUeqP5zwnAQ6EKGLfwrB1AngNW8I6V53pw+LYJaIIVy2kAU2yp8zDdroSNuRj4OgYCK8DpzwqjZ06J3PR8HieWwggm7lZczKcurBCDpgRKeKZTSuDeGqpdA/e7Oo2dUBrsVzIuhUKvHaFWzoXbh4fnFFJT+gs2LMzSmOKNa4FnE5N8JQJQL3mknfkwd+XCAe+ITBP0aAQu2viftCfxcpRKmRCLl9A7euXsO169dw1esOrj6IQkhCPu74BaKjW1f8wgmvasNWaW/dwIIB0VgsNMIyXSzrrNBVCXkjB7NZK3RHXCrEysNC7qUW2sJ0pD06iOOrJqDfmLWY5RGBDNmvmEljKYJF8AAPPRZiet9e6NW1G9zcuqBbvxHoM+codnil4vLDQHTt2Q21anHCq9JYzRYW7JXXqDYKpoyHLjKMPKCdNwqXLiEOuUP6IauVK+THDjPXs/LQwVSUgYyIqzi3YjBGtqyBzxqNRa9NwUiS/ArhFfIgurMaOyd3QoumzVG/UVM0aVQPzTv2RvdFF7DnkRg3HwWjRw/S4nHCe0sMMsgzIhAfEYKwZ2LwCok4bIfeBnNRAURJQYgKfAjvhz7EfOF93x+Pw58hWaKF0paOll24zx359X+EelR/IMSXfOK8LZ41Ohx5NFR7+5ZQnDtdyaHa9TCrc5CTEIjbW8Zjaosv8M/6Q9FlQwgSJG87eqxCES8Uj3atwe7VK7Hx0FHsPXAAB3bvwL7Dnjjpk4zwHCN8A0Pg1rUzJ7w3xmKESSuEJOku7u6cjGUzpmHWoWjcTPs1MlBBFHsD19dNwJwR/dBvwEBiQ9Gn/wzMWHcBV5NlsI+mKTp+BE9bNsOT0WOR+sAfuXIt8tSm8k1VbHTfcftxGDq5mW7hVXLcYd4Ss6Up0BTvtW60X1VLMJqtbKL0G5dF/hRS8wsAr3c3ZHdti6LrV2BWljxiKgNyTVYLLGYjRIGHcGJMHdRvPYwJL178NsIjfTtDLBK8D2L1rM3Ysv8+okUKyDQGGExm8hUmmInnYiTGDa68FeQHUgmI6O7A5/g8zOj8AxrXa40OK/1xipzS2wmPuDDqcESdXYKZnZqjZe26aNCwPnFLmuGXVuMxdOU13M1UEGm+IOnGHWwfMR8D5x5DN/KFPW8XoOedV9hNYl752BungNZuMSxdSe4Rr7Adt0vvyOh3kHRjfcXwfFaEbGVp9za90ICloTL0vJGPnrfK5C1rt4XkTyFmBslw/rwPYrp1Q37PTtA8uAOLtmSFHqm+ehXUCimk8iIoNS9Wq9P7bzXroFXIUCgrRKHGBP17bvTVMWdxeXpDNGk/HF3fVnhWPUwpp3FrXR90bNkTrQeswJaLgXiUrn7uuRRjQRARXntOeG8KFV4+pMn3EXiZdJzbf41aXzVGm8W+OJXydsKzGGVQxZzAHY+lmLdkM5as2Yxtm9djw4bNWOF+ESceJIOnKP2jh/qEYcj8E3BZEwmXPWK4bEov3o+8PKMLU1cRgZJKT1urEgp1ZvS/V2A7TsxR3hJbR4ym25eJaQESxJdxvULztfjuFB8uy58VL3Z1VEaJrUslf6bhr545WHHwAUK6doO4TxfoHnmTOlvSl7JAlRaA0GtHcPDsQ9yKFqLo+anrYVQmIu72CVw8egGXw0RIpcv3LFpYJSnIjA2Cv98j+Pg+gp+fXzn2CI8e+eGhTyhCojORpSBCLi6cURjuiQtTG8K1/Yi3F56pEDL/3Tg5tSla1f0R//j3z/i5kRu6TNiINecjEJKtsV2LFSEhXIv3dlB3wSCGVnQVp2a1RrefmqDz4ofwJMJ786EOC7T5cQjftxz7Nm7BrsAMhApIn1GhRJGK9BFUWqh15HvKvKd78iAQM2fswpfLHuBTDz4+PZjN9hov1/Zm4tM9GZjsLym1vTLd3XVmoMR2nJijvCW2nxgp4+ezudj6RA6esnQgolixHh1Ja/epewZJ+5qyDmSRP7PR4loePI7fwxO3rhD26Qrto4d2M3EMEN7fhH3jWsO1z3JMO5EAwfOvLCL37TrOz+yEwW0GYMS+RNyjvrhJBvMzLzw4vgErly7FgkVLsXTZsnJsCZaSNPMXbMMWjwfwyyZiKS6c8S7CsxqlEERcwy33eVg2dTD6d2oC1+8/xxf//BpftpqIEbsew5evh478rKFhIejktMKzmmDQFEFdpIGa9FlKxeIhfTGzTgNVkQoqrR4GcrH2h98NIjGLP+6scsOg2s3gRoR3IvlthJcHUeRRuA/tip5t+mPU1ss4/DgLGa9ZfJ1z5Rpu9huO/ROXYf+FIByLk+NYUlH5lqjEsQQlggS6Un0z+veQfN3z4w7zllgiMZLmCnGX4qV6FizJHilpPe9maXAsnpRDy3NURilT4WZqIWKv3kZqt07I69UVap8HpMUrqeA65F9fjI29fsAXzaZh8N4n4D8XngLqnLM4Mqw22v/YmvTBnuBaNvnY1uJlxD6G/yNf0pr5klaNtmyOzBe+pEX0fhiC4KgMZBW+xxaPnEeRmA9+0hPERQQg4N55nN86FbM6fo8f//4Fvmw9E9PPxiNUAgSEhKN7l07ONLgynQiPNC+kuTar05Hkcxm3Lt/FvVgZsu0rrpoHYYw3bp2/hRsByUgjFcQAIlAxD+lPYxATEYmo6GhEv8KiIiPxJDYBSTlyiMmv88KVJP0RnQ+8lnXBoDpEeEveUniaGPDukCdzD1fU/MdX+KlWc7j2nI5Jmy7jfFg2+KQf5eghoTx1HHmtG0E6sAesd66RH9pJV2sbddDdvwV+tw7I7tkFqof3YdWVXIseBbdXY8fg+vi543yMOfQUuc+Fp4Qm7xJOTmiKHg26ou/2WNzk08/J3TJqoC1SQC6XQ0aM/vkqk8kUUBRpoTNZSt3rdxKeI4qeIc1rDVa5/Yh639RBvYknsCVYjTv+YejTo4szCW8mkpNpCDjqrnnh3OxuGN5tDMYffoZHucXpGSJvxByahhHtRmLAkiu4VUie1shHbthFnN60GmsWLMKS5SuwbMUKLHdoy7F44UKsWLcT++4kIqyAVInnjQYRntYHN36t8KRx4Hnvxr5lxP3o0Q4dG36HH7/4DH//rg0aD9mGrXfSyIOCVadSKIjwcls3hnhQT5jvXidPgnesFJUFFd6D2+B378g24Cx6cI80FiV7vduEN6QBanaaj7EOhdcMPRu6od+Op7hF37uTlgbiJKRGPsKD+/dx5+593H/woBy7h3s0zZ1A+IeRVlKufR54ifLehUd+RYs6GU+OTMa89jVR020JxhxPxUXvx+jTu5tzCk/NP4V9/WugZY126LQxBl684vSMvKsI3tALrb5ojYYjD+MUuYFy4qrIedEIv38bt69eww2vm/C6WZ554fo14trd9YF/vAA8hb2w3lF4KjEKs54iMSoQfvev4fqJjdg2vSM61/wMf/3MFXVHH4T7YyEKtKX7eIWnT7BlQTlD+qHozk27AQnnwqrTQfXgLrK7d2JWdP8u0U6Jw/eWwqMPW4sKyA1B1L2zOH7kKDwOHcXRY8fKsSM4QtN4XMT5m5GIEZI+dXHhjPcvvGIMT4/j5sKOaO42C703BuPkXT/07tvDmWauvBCeJvc8Do9shC6NeqDPjjjcof5+CaQ1DN8+BF1rdkWbScdxTmwinWgzaSTUUCuJmyEvRGHha4ymoQMeWiMbtn4hg3cU3kuooM24jfsb+2FYwy/x9xqD0GmlL4sQ9rzOEQo9j4HXonGx8O7ddl7hGQxs9Tl1M7PdOqDotpdd2Ac74XVegHGH4yB4fmNV0BVcxelJzdGLCK8/+c1v59HPiTjkqeDFPIafry+bhED7cY6NHiNpvGkfL/39jmq+iiwvJBwahT6jV2HAlgicvONPhNfdWYV3AUdGNUbXxj3Rd2cc7pYS3k2E7xgKt1/c0HYyuZkSIwqJYDSCRCQEByKQ3PxH/v7wK9f88Iik8Q8KR1SaGHmkXrx4Ffa+hUdRQRN/HneXdUT7n1uiTt89OBgngch2lCI77IEM17rIHTEIajoS6Kyhzq1WaGwbb2Z1asNC/JkVxKVgGJjwdlLhdZyHsYefQvC8c10EreAyTtlavP7bn+I2m+JJfhgT6a+pFOyBKX+Dh6pcroTSQR9PEXESF6fZhLcxFAmk3rwXMm7g2bHJmLD4EKaeysLF+8TV7OXmnK7mmwuP3EypgTiaShQmP4LPmRPw9DiIw0ePMTvi0I7gEElz7NQlXA/lIYncF+MHFR7BlInCgFVY0rEjWrZejPXBOaDDSAyLBdI9u5DRqBbyJoxi++U5846pNNBR7qA+yGrbjLjQnjBJSjYqMUB4Zw12DqyFGk0mYOjeGLzoQQggCt+BrX1+RqsGPdBzezyuPSXeglQEtdn87vefoIk9h2szG6NJp9HotjUKKcrS7j7DooNZloqMmFAEBiUgPqd4ooOFfK5RqIigy56JCuKA47i+ZhZWHLyHY3Fa3A0IQc9uTjVlzIHwXHuhn3s87rERLhvC24h0H4ZutboR4Z3CRZmJyI7cmLw4xDzyhvftO6yTTe1+OXaXpLnvE4iQpALwSUfgRVjJDyQ8CGHMPYM9o0ZiYIel2BnMR6rtCHR0dcJGtmNq/qyp0MZEO/XqBBqykLbcdGGvzGMfjALmMxKMEN7fgF19v8OP37SE68SDOP4kE894OcjLCEbQxdVY7vYjmtRqgsZTT2HZkVCEhcQit4h0IWwlvD1WWC0GGDQKZN/fif2Df8BP9buj2fxbeJQqg9pQRtR6MTTRR3B6xRSMGr8dW26nItNihK4wAU8feOHK2bvwjUpBck4e8vKykJcZhHsn9mPX2gM4H5iMJOK9+oeGoWvnTs60LMheeBdxZDRt8ajwEl4SXpRNeG1Ii3deaiUtHrnB+iIoyNNVLBRBJBK/wshxkkYskUGuosFcP2QfrwQiPNFl7Js9H+OH7MaF2AKUtANWGXE719AYlHXZHgP65GfMZXNWaMhCutc53YJMsn0zDFkl7ZoJ+fe3Y3+/L1Hns7/gj981QcPe4zF8yjKsO3wOhy6dw74Z3TCk1v/hizqdUHvYLmy6EIf0Qn2p/vDbYYJFT0QS7wOvDaMwvuH/4f/9tSa+cVuDDedCESUgnhJJ9eK5mwv5g2XY0NcVtRtOwNgjMYjTE38q7SzOLuiLbo1ao11f4lYuWod16zdi/YbNWL/nAk77ppHz1JJeLBAcEoKOzvUCvbTwjo5uhPZ1uqDz+mjceb7fhQGmZE94LXBDy287ou2MYzgj1iBTqYda8e7yoE9lWALYC/ShdZujxwp/nH1pHSf9mdRQiTKQHkt+mGc54Cst0NMOhUEDvVpdHMbcHm0ihIHbsGn5FszZFoiwXNXzymTK5aNgyTy2fk28bjWM2Vm2I86JsSAfgqnjmfDonud0z/diTOBd349jY1tjxJD2aNVvADr3HofRM9ZhyyV/3Hmagah7pLUhFXz4oOHov/Q0DtMRYM27PISI8AwFyH/2GH6nd2LXkumYPmUB5q0/iZN3yW8nJA9rkur5N+hlUD29BC/3lVi68igO+2WDb1BBnXMf3rumYlLPLujSYySGTFuGZet3YNueMzjvm4hE6jWxAqwIdr5J0i+Ep827hONjG6HFl/VQa9hh7HiYBbFUDpnkGTJ9tmHv+HZo/O9GaDJ4MdYFhOFaVB6SU5TvtnDbaobFKIVOeh1nZreE2/d10XrGNeyP1qGIuCQvJoiQLzGnI833APbMnYkFGy/iXKIWEoMBuqxIxD28BZ/QeERnk/NlHX458iJvwn/fMmw5cBkeYUrkllQmKxFsyjPiYk5BZvMGkO7cCpPYftjF+TCJiFjmzyLX0xAFi+dDFx9nO6JEzDF3HJw6AVsvXYJn5FP4Bz1FQno+8jV66EzE7dPkQ5T2BJEhTxCdmg8heZqViS7/9pDf1Wwk5WtUUNFRbwUdfCHuq5a4oObSAzD097Aa6WAOSaMkafQkL/E+rGYNNKJUpEf7wc/bBw8CY/AkjZy3TA2N3vR8AgaNlu2EqxNKhGeGruAKTkxuieZ/+hP++i9XNOwxDhPnb8LK7Udx6dp+HN0+Gn1qfofvPquJ5mOXYdaZWDxKp9Onisv9VeilKMryR/iNJZjd8Qt8+/u/47M2CzHmYDgCkiVQsiaNQm6zPhyRxyZgdKM6aNR7HVYGFCJHI0aB93bsHtEePd0Gos+01Vi13R073d2xY/NO7Nx3EVfDeEgjvXU6zY3Cdk2NCGOuGa9FQ8iPHrR77+Wc0A0pqetMd4EVTJsEbbgt2JElFb5b5mF5/7FYff0JfOl9KMdJsbyz2j4UBhi1xNvRGOmLjpdw0pgrJcLTQi28Co8FYzGgbhP0aNECHbr3hduopZi98RxuhocgMuoCji0ahqEtO6DnmLVY65WKJ8RZfydnUyeGMjMAITd2Ydv8MRgzeDSGz9mJtWdC4JdIjj3fJIT8qX+G1Ae7sXPOdMxaex5n4lSQ6EiFCzqEo1Pc0Lt1W7TqMRqj5izDktUbseXgZZwNyiMusa0IG/Qdl+r+HeT068EqKg0Ea3Xi/h3FTFp56e6dLEhvzlD6eiSQfEquyeCHS3O7ol+tthiwJQhX7BckVhOcU3jTZtmEJ4Kcdw6blpD+0NS98LpxDQ8fB8M7LBUpuXIotTriNoghfhaMUPrCNDQNqUIttEQP71RlrcRlYOvFJBAXCJCXR6yAiElOxMFWFNjSUax66FVSSEl/Jl+sQCERpZnkN6kEECYFIejudVy9fBu3/aIRlUL6CVKShpxg2QeDWS5H4ZmTyOrcFtld2kH18IHtiPNiUamgOHuKBenNcusIpRcNaEu9BF9cXtwdAxp2wsCNQbic/Y6/VxXEOYU3fTbpp6WTXyMVBcHbMXvsKkxYfAuRBXI2A+HlkS0TaR1sgxpVDSPpHxSSfoLm1e+gTAUFkO7agay2zVmcEk2o8++dwKaN0VZ8cB9ktmyMwtOniw+YsxF//xTO7j2K8wE8JPzKkBpVGecU3sy5SE7LJLUxCrwzk9G/WT+0GHkMl3M17CVmdYQOvcuWzoewRQOoZ44HEp1/tyAYjdBGhkEwcQwyXeuyIL0lM3EMNHK2Ugmt6cWARHXCKYU3jQgvhQpPG4H0I2PRr6EbXId6wJOvKrWgsTpBN+QXTBmHrBYNIV29FKb05/NZnBdS+eh1CZcsYO8mRauXkZa9GnboHOCcwptO+ngppI9nyIU04iwObzmAbccfI0Kme4eZC1UbZdIz+E6fj619JmHx9mtY5ZONNRHyV1uIDLueKhAnMZR6z063T6aTr/fFKxznK2vhxEhZp5JVEBKX2B6B2oQ7WWrsiCFl0XSO8ttbmIyYHHeztcy1pgGOpO7bWIsnmDYBuqexTj0N7k1xTleTLYRNZp9bzUpIJHJIpDqYSo1qVCNMeghDI3Bg3mbUH38YLttp/JNcuLinl287iW1KxV+PZeM0EYy98DIVBiICGduT3GVHWrE5KqPE6HFSVrPLAiZie6JFOkzxF+Mvh7Pgso2ko9/rqIwS25rK0o3zkz5fEaA444nMFo3BH9gbRQ/ussC91R0nFV4lx1ypaET5EFy6jMOTlqHexGNECJlw2ZUHly2kopdnm4mtTsbvD/JwlgjPHn6RCRuj5Pj8BBHexpRic1RGiW0ix0lZdS/kvhToiO6jPj1AwuKpuKwn6ej3OiqjxNYXB0Ma5i2mk+4YJevysjq3hvzYITaCW93hhOcEmJLiIdiwDj5uvbF11hZMeSjA1McKTPWXvNp8RFgRLnuplVIaLCwGy5boQkx9JC42R/lLzI8c9xFjN3Fby7qaIvLvO1karCAu5FTf15RDjaYh33ch9cVUOG1kOFttQWfk0M1LKjeidMXACc8JoPvi5Y4fibSmDSDYtB5qtRYak/WNTEesrAdO/2mi7/bJAUd5yjOavuw7e/pvk6X4exzlKc8MdoGX9GmpEK1dgYwm9ZgADRnptiPVF054ToDi8gXiinVEbocWMHoeIp9UrwF2OmdT7nkUvLbNwO/bHZrw0Or34q4MnPCqOHSET7pnJzJbNETu8EFQed+jv5rtaPWAzjlV+fmC38eNTRBQXDoPS1F1fSNbDCe8Ko4pXwDhwjls1TndlJLusFPtIP4q3bJLMHE0W+Qr3riG/bs6wwmvCkPD3WmCHyN3SF+2Bo+uSDArS+KSVC/MikKI161kL9Jzxw6DOuCR7Uj1hBNeFcYkEkFGxEZjktA+nvqRj+1I9YMue2KTwLu2A69jS/J3z+KRm2oKJ7wqjCE1FQULZ5NWoB4EU8ZDn5RoO1INMZtZ8CbBhNHMrRZvWG0Xdaz6wQmvCqMJCUZO/x5sYEWyYwuMpL9XbSGtm0kohGTbJmQ0rIW88aOgjX/qvOELXwMnvCoKdb0U58+A17IRsnt1ZcFrLarX7Gji5NBwCMrrV5DVvgWyurRF4cUzsJC+X3WEE15VhDz92UvllUuR0aAm8mdOhj4znf5atgTVF21EOHKHD2RBe4WrlrDlUNURTnhVESI85c0byOnXHZlN67P3eBadc8dXeVNo5DQaQY32a3OG9CVCDLMdqV5wwquCmIuKIN66gYiOVL4BvaAibubHAn1dUnTnFvjEvea1cmURpi3kflQ3OOFVNcxm6JISiicN03iTq1fA8DzeZPXHajHDmMNH/tzpyKj3Mwv/p4t7ajtafeCEV8VgQY0unAGvQ0tkdWpNXM7rLCjQxwSdJic7tB+ZdGCpSzsoLp4jH9oOVhM44VUx9M8SUbBwLtIb/oLc8SOgS67G7+5egdrfF7mjhiKD3AfRmhUsFGB1ghNeFaPowR22KDSjWQNIdm6BSVqyc8LHhSkvj1z/VuJu10busAHQRISzqGTVBU54VQQ6O8ooFkO6ZT1yG9SAYsxAIOIxOeCke5y/MxbgsQ+U/TpD0qw21Ds2wpLHNsKrFnDCqyLQnV1pCAT+4L5IaVwXgm2boZHIoDdbYDBbX2tGi9Vuz4ZiyMdswSldwOooT3lGF7aW7VKZyWeO0r7OyH+loP+k5+oobSkjulOlZ4C/aB6eNayNrJFDoa5GrxY44VURrBIRCtcuR3iLljg0eCoWH3yIWcGFmB0kx+zH0vItUILZfhLsjFEgQWogFf1FTaf/3h+nxIJgGWYHkHSBDvLbmz9JQ9KdSy2CnO47bcNIhBAk0GLrk0LMoeloWWXzljVyTvODpSyamT35ajMLITH7kbj43B3lpRYkw0wfASa638OUIcuwb/R8pF65AYgLyM1y/okEnPCqAFajAYawIIj7d0dAq7ZYtPkiPjuSAZdtPLhsJX9uTSvfNqfCZW0KapzNwQO+hrVMJfjnatHvrhAuezPhspGko8GGHJVRYhtIGpJu0H0hBOoXcyTpTjkXiBibXc6Dy05yPrQsR/ntbV0Kizi2Kar0oMhTiR41z+XCZU1y8bk7yltiO7PhsjsH/7fkIWZO3oLIletgDvAhtdb5V+BzwqsC0Nkasl1bkdOkDpL698UZrzC43pQWRxPbll4cMq88oyH1iGAaX8pDtEhfykXMVBixLkKOfxwjFZhW8u20Mjsoo8RoGiLOMT4iKOxaPKplWvYk0kr95gB5GNB0Oxzktzcqzt0Z2E5aYnviSStc7wIRHo1IVhIOsDwjonM5IEDjtfdxdMRMJHXvAuWe7bBWg9crnPCqAKpHD5EzqDd4DX+BcMUS8NL4OJepx8pQOTEZVoaTP8szepy4kiefFbFAtfbQvh2NMLY/TkHSSLEy7DVlhZA0pDwaNYz28+wpMpKKItAxd7O4LAf57Y2cEw1gGyYsPTgk1ppxNKkIK4Pe4HwilMQUOHs3ComLl7ARzvxxw6FPiIfV5NyrFjjhVTKmQhnbhjijcS22BEh15yasH8m8zDfFolRC5XUN2W7tkdW6CWSHDrCQGM4MJ7xKxKLVoOjhffAH9GKrEMSbSB8m/+PYO+BtMWekoWDOdKTX+ZGtXlA/DrAdcU444VUitG8nXLYA6fV/JuLrCZXvQ9sRjrJYdDoor19lITDobBa6YJZtRV3aI3YaOOFVEjSQUdEtLxZjJKNZfUh3b4ehmq49e1+YBALmFWQ0qg1+/55QErfcWbej5oRXSehiY5E/ZwbSa3+P3NFDoXv6hK0653gFFivbCZculcqoVwMFS+bDkMO3HXQuOOFVAnQ3HNlhD7bejNe6MWRHPD6aha7viikvF7J97mxbr6wOLVmoCGdcvcEJr4KhL8s1tk06aF8lf/4MaGOibUc5XgupsLq4WOSNG8kGWvKnT4I2KsJ20HnghFfBGAW5xf2UhjXZejsFfWKrP671du8KvV/y40fAa9ccvOYNITuwG2Z5xVXa9wEnvArEolZD6XWVRdCifRS6zsyQxbMd5XhjSKWlMUaFyxcho35NNvlA9fA+LHrnWcnBCa8CoYF78mdMYi5S3phh0ISFOv0MjMqCDkSpvO+z3YXSa/+IggWzoU9PtR2t+nDCqyDMMinb65vXtB6LG1noeeyj2HL4Q0Lf48k89rJIbLwWjcg9PQozfbfnBHDCqwjUhbDcugJp704QutaEZsMKIN05+6hVDWN6CvLnzkB63RrIHTYQauJyUle0qsMJrwKwxj2BbMYE5PzyDcRDesMcEkiaQO6d3XuBuOrKa5fB7+2GjAa/QLR6qVO82+OE9wGh0nqQq8fmC+FYOXkDlvabhbVrjmN7IB+7EtVwj1W8sJhCuEcXwitTA7n+5Se2jHx2MY3kiSLpYuzyObInxEh5/nk6tkKhLDylCUcSlcVlOcpvb+ScDsQrX9pHvYQnYj1b2ErTOcxvbyTNyeQi5KhMttwvoCvlH+ZoybmTcuj5O8pfYvT6SVk3eBqoyOWZ6bu9PTvZjBZe6yaQnzwGk1xuK7lqwgnvg2GFVGPEcB8JXNwz4bI1GS47iO1KK16YSm1PxgvbRWxHOppcFuAWqVB0n3B7aAWna+7YYtZd6aXzljW6lo2U1/+eEBFCPQulUAJd7nM2RYW/HcsqXmy620F+e9uejk89MrEkVIZctel5eAn6h8powfIwWfG1kHQO85cY/Z5t6fjyJB9nUopKXR8NBZEoM6APXbRLz939NWXR49vT0Pp6PqKkJtCiDPFPUTB9ItJqfssmnRd536/SM4E44X0oiuTIiUtG57N00SgRzO58uOwnFWt3LqnwpPJsIp/bG139vS4Z/7mfhyn+Ejwt08J48zX4/EQ2XFY+I2lTXs5vb3SRKSnvH8ezsS5SDn7RixaGrodbGyEvFsIqUpaj/Pa2ljwstqai+RUBLqermdgoVCzRRNR97xbYVsGTdI7ylxhdGLuapCHCmR4oKdWCisg5HU9S4rvTOcUr1+n5OyqjxOjxNcn4jNyP48kqSInwrHodtN73wO/XE+m1fkD+rKnQRkVW2TnUnPA+EKaEGGRs3oxV0zah16YHGOaVjZEPxTYTOTZvEcb5irElWs5WatsTS1q8BcFSDL5dgBEkncP8JWY7PslPjIMJilKunVRnJi6riq0yH3JH+HLesmYra3Fw8QJZta2losKLI+e0jbiGg+8LMYzYS3nL2Ih7Ikx4JMb+eAUS7a6PPgyuZahZPJchpJV+3fXR48NIunnBEtzJ1kBW8kZGqYD8yEHw2jZjU8okm9dX2a3NOOF9AOiGioVHDiC9TXNEtGqFp7s9IMwTsb7b60xKKqFEZ4LWVLqfR/+dSwSUS1ov2t9zlLesSUhZdFU67T+VQP9aSI7xlUYWeMhRvrJGy6BlFRkspVxNGgFNpDGTFtXI/nSU196k2uJzot9P85ZAL5V+JiCurIBco0znOH+J0eun3yfRmqAxlo6upk9KgGjtCralM79HJygunWevcqoanPDeM7RfUXT3Fvh9uiHj528gmTIWiA4ld7r6BGOtylCXUx0axCYopP/yHVv5oQ6qeotmOeG9R6joaL9CMHEM0uiPPqg31KSTXx3C0TkTZlURFFcvIsutPdJqf4+CxfOgT0m2Ha0acMJ7j+jJOYrXEDfHtQ6y6Y6mp07AJHKOmRTVDROdKbTXnW11ltG4DsTbN1Wp/h4nvPeEqSAf0n27wWvTlP3YrGPPrSivVPQpzyBcuQTpdX9CJvld5CeOkgeh0Ha0cuGE9x6gS1IUF84iu0dnNnuCTtjVPokid9eu189R8ZjM5HeIRP70iUiv/QP4vbsVL5xVq20JKg9OeO8I7depH/kgd9gg1pnPozH+/R+xTj5H5WPRqNmOunl0X/X6NSGYMBqaAL9K33mIE947oo0Mh2AaeaL+/C0bvi7yul4ttw52ZphHcu40srt1ZLvMColHQlexk9pvS1HxcML7tZAbZ0hLhXDpAtaHoKuh5SeOwKIsHbKco2pA+9uyve7gtXQFr3kDSLZugKES1+9xwvuVGHmZkG7diMyGtdgaO+mubTAJcm1HOaoc9EGZnmZbtf4zsto2g/zgXphFBbYEFQsnvF9DZgqsO9ZC0bIuCl1rwLxxOcBPsx3kqMrQwEiyOVMhrf89ijo1AY7tAQSZtqMVBye8t8FqYdOPcs+cRXSfPght2BBPZ8xEVlAEChQ6CHVWCLVmCDWljU6HcjTAST+jU6CE6pfzlGclk5TLQudOSnQkzRuWRScma8usgCiBfk6Pv1FZJA39Xvr9jqDn6zCfI7NNYXOwkondK3of3+ZeKQ2WlydJk99QERCAuNGjEVrrF8QMH4nM+74o0lZsCA5OeG9DPh/iq1ewbb0nusw+hc4zT6DHDl/0u8HHgIdS9L8vYktxntudAvS/WYC1kXLkql7+YfPVJqyOkLM0/e8Ss89b1m6T46S8Y4lF0DsQDN1Ga2qAhJSVT8pykN/eyPcN9Rbhfrbj0BNePDWGPCDXQs/LUX5788rHdPK9ZSd1UwpJxfdIUBafOzVH+UuMXj85d7pygj68ysJTGrEq/C3uFbHD9F45UHE4T4Zxux6g89j96Dr7NHodisSJp1IYdS9fw4eCE94bYlUUQnX9Evwnz0KT2WfgslcMl/0yuLjnwGVLRvGyF7pcx97oEpdVyWx5juczJZsgXAJ9Gl/PVOFfJUt92FKeVxjdyHFdMtpez0ekUPe8taL/p5OnV4WTc6FLfUqWDb3KaJqtaZgZKGEtW0ljpSOVNIKU3YcInC31IefuMH+J0XNenoT/2JfJtgmzr+R0FcS5VBV+Pkvuz1qSjpqjMkqMXJvLiiT8dCYHMeLS0cJyikzY+kSOPx7KKj6n190ruvyIWD8iQjqxuwS6Wy5d9zc9uBAuR/LhskMAl53EtmWj67FYJIXGwqitmFCLnPDeBI0augd3wJs+Fae7D0PLuWfxyXERfntCjN8czsFvPLLwm/08YpmljVTIT4gYvjrJx6JgGeLt1qDRNXK7YwtZRfvEPZ2lfSm/ve3JwCd7M9D6moBtlUwrNoWKJiBPi9E+Yvz5SBY+2ZXhOL+dfbKLLm7lYaKfhC03KtlFlpbpEa+A66W84rTkO8vmLWX0+nam49+e2ThIWrZCu80s46V6TPMXswfLb/YWp3VYRomRa6NltSLXF1FQ+h2bL1+DfqSV+wu5PprudWXRe0BtEvl+e+HpTBacSilCyxsF+P2xXPz2ELnOIwX4ZH8WOi04ixtLN0MWEkxVYcvx4eCE9xroi3BNUAAKpo5Dimt9BAwZiSOnvLE9QQ2PJDUOkQr3KvOIU+AI+fNuloa1TCXQpS90o0eaZldMIQ7FO85fYgfJcbrB5DlScehq9JJ1cbSKJMuMuJSmxl5yfP9TBQ4lOi6jxA6QNPtI2nvknPKIC1zS4tFK6pujZSKie6e/7pyo7Ysl10e+j7q69n3G7CIjTicXYRc57iifI9sTo2BrBfNUpV1Nun3zYXqcXluZPI7Mg5w7LcuHXIv9kii6Ep/uyb6XHN9vuzaP+CLsuPcMhycugV+TZsihC2gjwm05Phyc8F4Bnd2gCQ5iUazoVLDsTq0hP7QPqsxMvBw15DUQN8dKzB5aJ8oblHhTaG66ns3oaETitZQ9HytpFaysvHeFNjQqI7lm27/fBeoC03V37wq9/RqjhZX3AivM/CzIdu9AdtumyKj7EwrI703D6lsNHy5ALie8cmBLfMLDUDB/NjIb12GTn6W7tsOck0VqOheEtlph0sOakgT5zs3gtXZls1sKFs4tnm/7geCE5wAmuogwCBfNZS0dr2VjSLZuZC9gOaoppDmka/bEW9Yjs3kDNq+zgPz+2qcx76XVLgsnvDIw0UWGQ7hkfnFL16KRTXTOEx6c41dCxECXEok3E/GRhy3dzalg2QJo45/Cany/Xg4nPDusJhO0sU8gXLYQGa5EdM0aQLxxLQwZ6eROvfxuiaP6QeuALjGe/e6ZzRsio3FtCFcsho6I733CCc8GEx3x6YXLiega1mLx+EUbVkP/gfuSHFUPK235khIhXreS1QO6gp2KjwZSYiM07wFOeATmXhLRicjNpdGpMpvUg5iITlfF4nRwVCBmM3QJcRCvXcm6G9QDEq1aSlq+uPfidn70wqM7tLI+3eJ5pE9XmwmPhofTpyWzJx/HxwsVmC42hu1jSMN5ZLoSt5P0/bXRkbYUv56PWnh0Z1HN4wAUzJ9VPHpJfHrx+jXEvSQuBQcHhbZ8pJUTUbezRfFoJ32vq4mMYJ7Sr+WjFR7dm07t54P8GZNZB5rXpgmk2zbBkE4HUriWjuMFViI+2ueTbFnPNkVJr/MTBLOnQRMW8qs3Fv0ohWcuKkLR/bsQTBrDnmC8Di0hcd8GQ2aGLQUHRxmIUPTJSZDs3FIsvto/IG/KeKgD/Yj43n7E+6MTnlkuh/LWDeSNHc5mKGR1bQfp/t3cXuQcb4SBl8HiddKHNQ1aLJgwigW3sqjeblXDRyU8c2Eh28SQ7hzK5l726ATZUQ8YcnM595LjzSD1hMVvOXwAWZ3bsCBX9CFO92O3vMXczo9GeDSKcOHpE+D368E2q8/p251tYGjM4+KkcLw9xtwcyI8fZhHD0376GrmD+0F58zp7uL8J1V94Viu5SbmQHdzHYukX75XdH4qL59jm9RwcvxYzqT+FZ06ybaDTfvqKPMy7QXGB1KuCfFuK8qn2wtNnpEOyg3aIXZFBRCcYPxJFd27CXIEXyVF9MUklLDp1zqA+SCfiy3brAPlhD9YivorqKzy6tuxpLERrlrNZB+l1fkT+rGlQ+3qTjjAXcJbj/WEuUqLo3h3kjRqC9JrfsiVkdJScvoIob4pZtRSeVatlYdwKFs5BRoOaxXPtli0s3pr3Ay5u5Ph4oXN96asFAd2noe6PyGzZCOL1q6CNeQKLg3Dx1U549CLVfr5so4q0X75nM8xFm9axGefvMtOAg+N1WLQaNv2wYBF54DcqnmhPN7BRBwW+NOJZrYRnEhZAeeMq2wU0jTT5dGsm6e4drJ/HwVFR6J7GsPm+9EU79bgEU8ah6LYXTBKJLQURHnFBnV54dEoPfbdCN4Lk9++JtFrfIbtbe8iOHoSpQFCun83B8UEgrZk+PQ2SXduR1aUtW1CbO7gvCs+fgYXux07qI62RQaGhTii85BdLdugiRbpKPLtrO6TX+gE55CIVl95sWJeD40NhyM6C3PMocgb2RkbtH5HVuS3kB/bCxMtg0eGCIyLQoXMX5xBerdp1MHvuPGTy+URxOlgiQiFbthC5bZogl4ZpmDEJBl9vLiARR9VApYTuzi2Ip00Av2EtCNo1R9GW9TASdzTUzw+d3Lo5h/BqkJOcTFq8hMhIWIMDIZw+kXRkaxN/uilbJawJDyWdXK0tFwdH5UMn5atDHrOBFp5rXWQTEyyaC+89u9GudRv8Uqcujhw7VjWFl5SUhNFjx+HvX3yJNq5NcHL6FMSOGwm/hnXwqFVThM6bjdgrl5FM+n4p2Xwkp6YhmbijnHFWqZaWjpSsbDyLj0fsxQsInToJfq71cI/Y9vZtUedfn6N2g4Y4evIkJFVRePQiRo8di9/+6c/4bxcXdPyv32HS73+Hcf/7J0xq1hQzx4/H3AULMXfRYswhruicOXM546wKGKmL8+ZjDq2bCxdj1pgxmFy/Hob+4b/RjNTjT4n9TLpPnsePQ2436vmheWPhZWbysGDhQnz1zbf49D//E3/55BN8/umn+PwPf8QX//wMX377Hb76/gd8SY5/+dXXnHFWtYzUS1o/vyL19Iu//wOf/c//4E+f/AafEOE1b9QYXp4noa2KwissVOAR6YxuW7sOs0nLN4m0cFNmz8G0+QswlTxZpkyfjilTp2LKFGL0T844qypG62RJvZw+g9XXaQsXYdqs2Zg+YgT2rViB1IgIFhWhonhj4VHo3gOK3FzkPIkGPzEBeXw+8gsKii0/v9gEghd/54yzqmi0vopEEJD6mxcdBVlCPMwVPCD4VsJ7jslEVMgtXOWoBtC6XAmvvn6d8Dg4ON4JTngcHJUAJzwOjkqAEx4HRyXACY+DoxLghMfBUQlwwuPgqAQ44XFwVAKc8Dg4KgFOeBwclQAnPA6OSoATHgdHJcAJj4OjEuCEx8FRCXDC4+CoBDjhcXBUApzwODgqAU54HByVACc8Do5KgBMeB0clwAmPg6MS4ITHwVEJcMLj4KgEOOFxcFQCnPA4OCoBTngcHJUAJzwOjkqAEx4HRyXACY+DoxLghMfBUQlwwuPgqAQ44XFwVAKc8Dg4KgFOeBwclQAnPA6OCgf4/73nsGKEFACXAAAAAElFTkSuQmCC)
physics-General
physics-
A transparent thin film of uniform thickness and refractive index
is coated on the convex spherical surface of radius R at one end of a long solid glass cylinder of refractive index
, as shown in figure. Rays of light parallel to the axis of the cylinder traversing through the film from air to glass get focused at distance f1 from the film, while rays of light traversing from glass to air get focused at distacnce f2 from the film. Then
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)
A transparent thin film of uniform thickness and refractive index
is coated on the convex spherical surface of radius R at one end of a long solid glass cylinder of refractive index
, as shown in figure. Rays of light parallel to the axis of the cylinder traversing through the film from air to glass get focused at distance f1 from the film, while rays of light traversing from glass to air get focused at distacnce f2 from the film. Then
![](data:image/png;base64,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)
physics-General
physics-
A ray of light travelling in air is incident at a grazing angle on a large transparent slab of thickness
. The point of incidence is the origin. The medium has a variable refractive index(y) given by
Where y is in m and ![k equals 0.25 m to the power of negative 1 end exponent](data:image/png;base64,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)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/472699/1/943357/Picture17.png)
a) Express a relation between the angle of incidence and the slope of the trajectory m, in terms of the refractive index at that point m ( y)</span
A ray of light travelling in air is incident at a grazing angle on a large transparent slab of thickness
. The point of incidence is the origin. The medium has a variable refractive index(y) given by
Where y is in m and ![k equals 0.25 m to the power of negative 1 end exponent](data:image/png;base64,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)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/472699/1/943357/Picture17.png)
a) Express a relation between the angle of incidence and the slope of the trajectory m, in terms of the refractive index at that point m ( y)</span
physics-General
physics-
A ray of ligth enters into a glass slab from air as shown .If refractive of glass slab is given by
where A and B are constants and ‘t’ is the thickness of slab measured from the top surface. Find the maximum depth travelled by ray in the slab. Assume thickness of slab to be sufficiently large
![](data:image/png;base64,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)
A ray of ligth enters into a glass slab from air as shown .If refractive of glass slab is given by
where A and B are constants and ‘t’ is the thickness of slab measured from the top surface. Find the maximum depth travelled by ray in the slab. Assume thickness of slab to be sufficiently large
![](data:image/png;base64,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)
physics-General
physics-
The refraction index of an anisotropic medium varies as
. A ray of light is incident at the origin just along y-axis (shown in figure). Find the equation of ray in the medium
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)
The refraction index of an anisotropic medium varies as
. A ray of light is incident at the origin just along y-axis (shown in figure). Find the equation of ray in the medium
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)
physics-General
physics-
Due to a vertical temperature gradient in the atmosphere, the index of refraction varies. Suppose index of refraction varies as
, where n0 is the index of refraction at the surface and
. A person of height h = 2.0 m stands on a level surface. Beyond what distance will he not see the runway?
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)
Due to a vertical temperature gradient in the atmosphere, the index of refraction varies. Suppose index of refraction varies as
, where n0 is the index of refraction at the surface and
. A person of height h = 2.0 m stands on a level surface. Beyond what distance will he not see the runway?
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)
physics-General
physics-
Find the variation of refractive index assuming it to be a function of y such that a ray entering origin at grazing incidence follows a parabolic path y = x2 as shown in fig
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td+SuvsQm0NCPm8SSeSCMFY6KBMUkueUYmMtAPX8VJOHLXwjp/NuzLF6krgINtlxHzcw3JSMSYaGBMkice8CMkguE+sG9on9asOXCsX6O2W5R7k/DU78jFmGhgTJJDHR9puaC2DrAtnK9GJHIzIznVkTfLktsv0sjFmGhgTO5A4mt2jTwr4z9TBcfmXBURebDVtbtQXbyn7mVDIx5jooExuXNysyK5bYDn0MGhO+vNzVSnfT1lhxDu6kQsEEg8U7ghQDSyMCYaGJPbJ79isWAAwSuX4dqzU93D5tqd9XzVpxEZGODxkVGGMdHAmNy+mMcNf2017Llr1Q3DrdnzMLgzH4Hz5xB1OrnZ8yjEmGhgTG6D+BqFe7rhPXpEXeVrypgC29JF8Ij/ltfXyNWunM6MToyJBsZEk/g6hTvb4crfCnNaCsxTJ6mbYalpjcWsrr+h0Ysx0cCY3MQNo4uoaxC+ylOwL18M85SJsGSmi6hsU6eCuZp1bGBMNDAmt6ZuzWnqh6d0vwjINPS//ipsC+api/TkTcTl3iQ3hodGJ8ZEA2OScGMU4jEE26/AkbMa/eN+CdPkt9Q+JIGm82qkQmMLY6KBMXk3Oerwlh9Ti8/65W0n0lPUlb/h3p7EM2isYUw0MCa/IdeGyL1H3PtLYE6dpHaLty1aAH9DPaJu97tHLzRmMCYaGJMhMRELf32dmNasgWnqRJhETByb1iPQeB7xUDDxLBqrGBMNYz0mcb8f4c4OeMsOi2nNQpimvA3z7OlwHyhBxDyQeBaNdYyJhrEak3g0ou6YF2hqxGD+dlgyM2BKS0nshFaN6KBDfnESz6axjjHRMBZjEpe3m+i+qg6yygvzzDPS1fU1g4X5CF5sGVrJSnQdxkTDWIqJ2gXNYlHX0Lh271Rna9QGz6uWqQ2MImYT9x2hm2JMNIyFmMRjMcT8PoSvitGIiIa8Qbi8QM+m9mUVo5HmxqG1I5zW0C0wJhpGe0zUKlarVYxGGtR2AfLCPOvsGXDI0cihg2rfEfC6GjLAmGgYtTERfy953Uyoox3e8qNwbMpRO8TLLRUHd2xF4Fw9Yg47RyOkhTHRMCpjIv5KURGKQEM9Bgu2w7YkW90g3L52BTxlh9Wp4LiY9hDpYkw0jLaYxHxedRNwuXWiY/1qWOfPgm1R1tDmzrVn1JSH6HYxJhpGS0zkfiJyXxF5tzzn9i2wLpwHS9ZsOHLXwHvsCEJiNKLuWRPjtIZuH2OiYTTERO7HGrrcCnfJHtiXLoJ5ZgZsi7PUbScCjQ2I2KzcvIjuCmOiYSTHRF2Y19cLb1UFnJs3wKI2ds5U0xvv8TJ1pobX1VAyMCYaRmRMxOcc9bgRbG1RWwNYF85Xi89sK5fCta8EwZZmRB0OnvKlpGFMNIy4mIjPN9LbA8/Rw2opvGX2dFjnz1EjE7m1ohypxEOhxJOJkoMx0TBiYiJHI/J0b+M5uAp3qDUj5hlpsIvRiFx8Jo+ZqLvnDf11iJKKMdEwEmIiRxpy0yI5GrEtWwTLtKnqdK86wNpwFhGTSV28J4NDdC8wJhoe9JjI0Yi/+jScG9eLKc0MmDPT4VizYuh0r7wFpzzdS3SPMSYaHtSYxHw+hDquwHNwH2yLs2GaOkktQHPtKVS3mJB7kcjrbjgWofuBMdHwwMVEfDoRuw2+6irYxQhE3uzKMj0NDnnDq9OVCPf1qN3ReAtOup8YEw0PUkzkfWgCYtQxuH0LLDMzMDD5TXWg1V1ShGDbZU5paNgwJhoehJjIhWVh0wB8Z8RoZPUKDLw1DqaJ49RSeHn2JupyqT1JiBTxMxuNhBHw++D1eOD1+eEPhBAMBIZeJ/7R8QXDCEXjSNZPDWOiYbhjEvV6EbjQCMfmXJimvi0i8gbsyxbDc6R0aAUrt1CkG8RiEXjsZnQ21aH65HGUV9ai9txFXGpuQnN9NWrONqKhw4J+VxjhJNWEMdEwXDGJiUjIq3vlPWqsi7MwMOlNda8a58YcBJsah269eT35eSY+Vxrb4iImXksnWo7lY/uKeZiXvRpr84pwYP8+FBUWYkfRURxp6EGnI4RIkn5kGBMN9zMmavtEEZFIfz/89bUY3CRGIyIgA2JKY1uxBL6qU2qPVi6Dp/cmpjnefvTWFGD3kimY/MZkTM5YiJU5eViftxv5B2tQc8UOmz95U2PGRMP9ionaIsDpgP/8ObW3iHl6Gkwpb6lNnV37ihBovahOBxNpifoQ6K9DQ8lyLE4dj1deGofXpy7Bkm2HUd7cg153CKEkHmZjTDTc65jIiESddgQvXoC7dD/sK5fBnD5FHR9xrFulbr0ZCzAidAeiTjgvl6F0fTrGv/Ai/v3VOVhQUIUmsx/JPtLGmGi4VzFREXG71SpVX1UFHJtz1LU0MiLyjI234gQiA/08wEp3IYSg5Rwa9i7GnDdfxYu/zMTcvArUdvvgS/LJP8ZEw72IibqtRE+PWmTmFFMaa/YcmGdNUzvDu4t2I3ihWW2vSHRXYiIa5nNoOrIey9PG4Vc/n4SUhbtQVNeHPlGTZN4BiTHRkMyYyIvt5I2s1G0l9harm1tZ5syAZW4mnFs3I3D2rNoxnujuxMXI1w+fpQMd54/jxIFt2LQkE5kT38T4SfMwd/MxHL9shTkY5TqT++luYyLfW01pHHYEL11Uu7/L07uWrDmwZs2Gc1OumtLI23HGeYCVkiEeRchlQte5kyjfX4SivaUoLdmO3WtnIO2tCXgtbRVWHziPhn4P/Ena85cx0XC3MZHHReRSd3kVr1x4Zl2UDduC+ergqrxITx54fddoJPH/JLojsZAalTSdPICSwj3YfagG9edq0Fi+GblZ6Zg0dQGytonQtFrgDMWSMjphTDTcaUzkgdNwXx/8tTUY3JkP+4rFsMjbSixdOLTPyLmziNrtvHcvJV80DJ+jD1fOV+P0qTOobuxEt/hZNHfUo+ZIEQryi7H72Dmc7bJjMBRNyrETxkTD7cYkHhVTGhEJteNZ8R51Za91wTzYli+Gc8dW+Corhm5yxWMjdK+In9lIKADPoAN2mwNOtw8BuYFWwA233YyBPhP6LE44vUGEo7GkbFPBmGi4nZhEnU4EmhvV9EXd4EpERC6Fd4rpjed4GULyyl6PW32ziZLl2s/ocGJMNNw0Jvv2qdddI/cPCff2wHfqJBwbc2DNmqNuKyGD4i7dN7RZkRitcBk8JVssFoPP54PD4YDL5UJomDYLZ0w0GMUkarPCf7oSg1s2qZt+y9GI3DbRXbQLgbqaod3guc8I3SMyHt3d3TheXo4SMWI+f/48/MPw88aY3KYFS5bise8/haLiYsDrAdpaETu0H6Gc1QgsWYDQutWIlR4ALjYDLmfivYjurcuXL2PpsmV46eWXkZmZiXIRlr7+fvUP4P2iHRP5Scnaeb1e8fDBK4ZVo/khh43XHvLv7AsEMOjxYPbcuXjq8cdRvGY1wuVHYRGjkK4Jr6ErLQV9IiTWI4fhbGmGxzQAr9s99DHkRjTyIT8WH3wk6SF/ngLi59JqteLEiRMYP348vvKXf4mv/t3f4fVx47Bl61ZcaGlRP79yKnSvacekr7cXmzZtwsxZs7FgwUIsXLRoTDwWiUeWfCxZgmzx9371R8/gtb/5Kxx54We4OO6XyH/sm5j31b/CtMe/g9mvvIys9AwszMrCosVLsGjpMiwULxcuWvyuj8sHH3f/WIzF4udy7tx5IiRv4Ovf+AYe+tjH8JGP/j6+9OUv4+lnnsHsOXNx7NgxmEymex4U7ZjU1NTgW9/+Nj7wwQ/h4U9+Cp/69GdH1+MziYf486fly8/+MT79J4/ikS98EX/+p3+KfxSPp7/wefzqkc9g5mcfxrLPfQapn/4jPPGRD+Lzv/s7+MSHPoyH//AT4v0/M/T+13/Ma4/r/3988HHXj6GftU9+6tP4xB89jD946GN4/wc+iP/5O7+rXn7u81/Av/37c8jLy0NnZ+eDE5Oq06fxt1/9Kt73vvepT/RDH/7I6Ht85KPq8WH5Uvz3B0UgHhKPr3zkw3j+4w9hzic/jiWf/gQmP/xx/OgPP4avPvT7eOSjH8UfiLcPvf/v40PiXwX1cT489DH44ON+POTP6vvFP/S/9/4PqMfHxT9sX/v615ExbRoqTp2C0+G456ePtWPS1dWFJWJINWHCBEyZMhVTU1NH12OqeKSlIXV6pnjMQIr4e775Lz/Em1/+c2Q++lns/NbXUf3Sf2D1d7+Dn33ly3j9uecwMzMT08Rz08Q3LDU9Xb3/TT82H3zcg0dqahrS0tIxadJk/NcLL+Cv/+Zv8JAYncgRyXPPP4/ly5fjzJkzsFgsiNyHJQm3dQBWHsgZHByE2+0ePQ+PB26fTz1c4s9Osxm2xvPoL9mDzrkzcfkXL+KKeNjXrsRgRTnmpaTgycceR0FBoTolJw+CqY9xs4/NBx/38OHxuNXvpDwecrKiAlOmTsVTT/0A48aNQ2lpKfr7+1VE7teCNu2YjAkiDtHGc/BtWAfH1Ilwpr4N77pVCJYfBUwDauXqvPlZ+O73n8IB8c0iehDIYyFy5nDo8GHs2rUbdXV1IjT3/1INxkReleCwI3TuLNw789XtNeUO8JYZaXBt24xQcyPiiS0T5eGr+dkL8D0Rk303rIAlGi5y9DHodIoRihlO8XK4ltaP2ZjEwmH4xFzS0tSIPjGl6V+Uhf6J49VO8M4tG9UVvTHXoHjibxb9/NYK2NvYgoDoXpLxkKOT4YrINaM/Jjd+geUX3euB90obLu/ZjcOpU7Hv5RdQN/EN9K9aDr+Y0qgbW4VuuCeNwJgQ3dqYGZnExUgkNuhE+Mpl+I4dgWn9GlS+NR6rnnoS8558Arsy0tBTU61ic6NrxWdMiG5t9MckGhvaAb6jXd3AanB7HqzzZqF/ytuoe/sNbBj3GtJ//WssycrC2fp68XTGhOhOjN6YyHmk16uu2PXVnFGbElnnz1a3krAtzlYHW/uOHEJ5URGyshcgPXMmCvcUobevDxERjesxJkTGRl9MxC+83E9Vbs7sP3NabZcob6tpESFR+4tsXK9GKHG7FZFQGL39A9i9Zw9mzMjEnDlzceDgQXXe/mYYE6JbG1UxiQf8aiQSqK+Du3g37CuWwpwxFZZZ0+DM2wjfmSr1dnnPmmuC4TCampuRm5urVvZmZWejoqICNpvtnRHJNfKIOWNCdHOjIibyRt/hgX4EGurhKilSd8OTUxrrgrlqpzPPoQMItl665X165e5UctnxkqVLkTJlirps4EhZGXp6e9+1a1VWVjZjQnQTIzom6q54IiL+hrNw798Le85atd+q3OnMvm413CIioSuXEb9uJHIzcgRis1rViERez5Ceno558+dj1+7dONvQIKZCfWrZsnzMmTNHxORJLlojusHIjEksiojDpjZudh0QEVm3CpbsueqmVvacNSoigZYWROxiqhIJJ97pvcWiUTW1qaqqwtp165A+bRrSMzLU7lWFu3ahprYWzRcuYNLkyXj88e+ipIQjE6LrjayYiIhERSCCF5pEMPbDsSlHjESyYV04X12I5yreBf/ZWkRMpju+F41cjixHI9vz8zEvKwvTpk3HzFmzsGr1aqzPycGPf/Isvv6Nf1IX+t141odoLBvemMg1HfJx7UCnfBGX/514vfxllYvNfD5ExTQk2NoC79Ej6naa1kViOrNo/tDu7/tK1FQnYh5ALBj4zce7Q3J7yq6rV9U+EPn5BVi5cpU6njJLTHEee+xx/P0//AM25+UhJD43IhoyfDERv/DxUAgxt1tMWexqxCGDEbWYETWbxOhiQJ15CbW3wV9bDbc8sCpGH/KgqlVMaYZGIrvV3fIivT1qTcndRuR68jSwPDArr8asq6/H8ePHkV9QgJ88+yz+8WtfQ96WLfdljwiikWJ4YxLwI9R6Ee4DezFYsB2uwh1w5YuXO7ZicPsWOPM2wLF6OazzZsKcngLztFTYli1Sa0d81VUIdXUOReQekyMVOf3p6OjA229Pwrf/+TsoKCwUf4XkxYtopBvWaY4cmfhrzsA6dyZ6X3gePf/+DHp++jR6nn0a3c/+K7p/8i/i8UPxtudgTkuBc+sm+KtPqwVpMbdLXW9zP1yLRlj8/+TmvU9870kUl5So1xHRkOE9ZhKNIXi5FfZVy3D1h0+i7UuPou3PHkHbX3xO/PlzuPK//wxdj/8TBiaME6ORHWIUc2koIsN44DNb7mfCdSZE7zK8MRHC/X1qiXvXk/+MS598CJc+9RBa//gTuPzoJ9H+d3+Jvl+9DNfunQj3dA8dkB0GvDaHyNiwxUROUeRNvj0njmEgZQLav/a3aBUBaX3kj0RIHsaVv/4Sep5/Fs4tm4ZCcpOree8XxoTI2H2IifxF/O0DlVGnA14REfuKJej9xYvofOKb6HjsG+j45v8VU5zP4/IXP4ur/+8J2FcvV2dz3isk9+MYKGNCZOz+jUwiEYRNJvjPN8CxKRf9r/0cV//1SVz98Q/R+8uXYZ6ehr5fvoL2v/8rdHzj/8AyewYCjeeG9fjINYwJkbH7EpN4OITgpRa1YrV/3C/R9eS30fW9b4s/v4rBgh0IiMD4zzWofUau/vAJDIjn+E5Xap72jSMuV8aKX/RoTPw58dpr1H+LGMjnyDDForGbjJWGyGhcC8f1GBMiY/c0JvKXN3S1E679JWqj5qvPPCVC8h30vvQzFQ451ZHHTSR5lsa9txjmGelqzYlczGYsjOBgH3qa61B36hSqzrai1eSH94YzxrGAA/a2OpyrPImqevEcSxCed2ZOMcSCg3Bbe9F9tRtX+x0Y9IswJd4qXUsUY0J0a0mPifrXX4wo5Fkaf30tHJs3oP/N18SU5vvo/tmzsMydCW/FCcQc9nd+SeXIQe4EH7zQrN4mr/Q1Eo/6EbR3oKPhBI4VbccOMepZu2kndpSeRUOnHS4RlHhcJCFkgbm1Esd3bcGW9euxIX8vdp+4iAt9HvgiIYT9dtg6z6Op6giOHDyEwyfq0XDFBJM7jJAIjvwMGRMiY0mMiQhCMICIxQx/XS2c2/JgzkxXIRmY9CZsy5fAc/QwQu1X3r2viJxeBINqhzQ5IpGL2d5bHEFrO7pOFeNAYQHy9x9GWeVh7N68FkvmLMPaojOoNkXg89oRurQH5QXLkb2qGFtKykQwdmLTmjwUllaj0WTG1a5GnD1WgmLx+RbkbcSOwt3YdaQGp1utMItPM5LoncSYEN1aUmISEyGQ19L462owWJgP66JsmKenqv1W5RkZT+n+odtH3OyszLVjFDc5VnFLcTdsl07iWO4yrFmRhx2VLbho6cXFo5uxIe0NTJi7BTnVfejtacblHelYlZGC1K0NOHTZgvaavdiZnYGFy3OxpfIsKmuOofzAXuzZdRgnj+5H+dE9KCwuQ2lVB9rNEYSuu/yGMSG6tTuOSTwSQVRMZyJiOhNoPA/3gX0qHHKbRHlmxpG7Fr7KCjXdiQfu/kre3xAfJ9KNjtM7sXnuPGQtzMPuum50+kLwth7A8eUT8MqEBZi2/TjOnt2LXWm/xJRfTMWiim6c8wKWxjIcWzEJmZkzMW3TfpQcPYiT5RUoO9GC9ssNaGs+ikOHjuPIyTZc6QkieN3xF8aE6NbuKCZxOZ2RI5HzDXCV7FEX38kDp0MbNufAW34UoSttatqSfGJ042/FpbINWD41HdNmb0B+bQ86/OJNpgo0bJ6KF3+egfEL14soLMPcF1/CS8/PQU6TFZ3iKe7Wk6jOSUFGymS8lrUV2w/uQ/mJchw8WIX608dRW3UAe0vLcbS6C51yZHLdkVjGhOjW9GMiD5IG/GrjIXkq172/BA65JcD8WbDMnq6OicitE2VEbnY3vOSNTGRMruDy0RysnDwBb09djFVHWnDO4kO49wTqNqXhP/9zMl7NmI2d21Px5rMv4af/sRzbLtthFu/tvVKJ+o1pyJgwEa9miinSsXJU1x7DgZ0F2L1tKwr3lKCkvB717XZYfSIg133ajAnRrWnHJO7zIdhyAZ7SA3BuWA9r1lxYZs1QF+nJXc+Cba2IDQ7eh0VmcpozgN6aAmyfNRGTJ05D5uYyHGxoQ0dNIfYtGo8f/dskvDolE4U5E/DrH7+MH720BoXtDtjFe/vaK3F2UyoyXn8Tr07fgT21F9B+9RxqjxWjSB58La3CmYt96JNnc66FJBFCxoTo1rRjEhkYgHPbFjGdyRiazqxfA/fB/ep4ScRqEQOGmxxcvVfiPrg6K1G1LRsLM1IxdX4OVufvR8mmeVg04Tl896dTMX5GNvaJmLz+k1fw9CvrsKvDAbmixd9+Cmc3TkH6r8fj1RmFKG7ug80vQjPQiY4rHWjvtsDmCf4mJAIXrREZ045JuLsbjpy1IiSz1eZEgXMNiIqRyPCII+LtQX/jIRzesQ5r1+RiXd5WrJ07AZP/8xk8+UoWZubkoSI/HZOefQU/fnH1OyMTb1sF6nInI/X1N/Dq7CIcaLUjMPRBb4kxITKmHZOozabOzviqTyNiNg2doRkm6lc7HkTYa8JA23k0VpfjRNkubJg7EW+/+DJemrkdeSdOoLFsMWY/9xL+478WY+slG/rFu7laT+D02kmYOiEF45eU4USHSx6FeU+MCZEx/WMmoRCiDvtv3Q1vuFw3AxHTqzDCjjZ01xZgy/wpeOuNWZi1tRLV/Z3obizA+ldfxGsvzMDaBgvaxDs6Wo6ifMUEpE6difStZ3G23ziKjAmRMe2YPJDiUUTDfnj6z+PSkXXIXZSFzGXF2HXmKswRLwb7T+No1njMfiMF8w5cwMkeB9pOl2DPwimYnb0O60/2onPQ+FgPY0JkbITGRPxyx8WIxGeHo7cFTRV7sS9vLdZv3In8E624MOBDWB5X8XSj+9Ay5C+ahsw1+7D1UAWO7t2KDUuWYd2OMlR0+TCosY0sY0JkbITGRI5IXHBZOtHRVIWKw/tQVFSK0soLuGjywB0e+uVHRESlpxLny7Zh06ad2FpQhJK9xSjccwwnznah3y+CM/TM98SYEBkboTERo5KgA46BLnS2XkBzUwsaL/fgqsUDX3hovxJF3swrJJ7XcxFN1WdQdaoKp+ubcP5yP/odgd86/fteGBMiYyN4ZOKD1+WEw2aHzemGyxdC8Prlqu+IIxbywmszw9QvImIZhNMnYnQby2IYEyJjI/aYidpdLRJFRAQk9h4jjN+8KaZ2WZO7sb3jPd7veowJkbERGpP7izEhMsaYaGBMiIwxJhoYEyJjjIkGxoTIGGOigTEhMsaYaGBMiIwxJhoYEyJjjIkGxoTIGGOigTEhMsaYaGBMiIwxJhoYEyJjjIkGxoTIGGOigTEhMsaYaGBMiIwxJhoYEyJjjIkGxoTIGGOigTEhMsaYaGBMiIwxJhoYEyJjjIkGxoTIGGNyG2KxGGNCdAuMyW2Ix2OYPXsOvvmtb6OwsDDxWiKSGJPbIGOycuVKPPvTn2LPnqJ3pj9ExJjcFjnNqTh1CrkbNqC2thahUIhBIUpgTG6DjIndbkdXVxesVitjQnQdxuQ2yHDIMzrhcBiRSETFhYiGMCZElBSMCRElBWNCREnBmBBRUjAmRJQUjAkRJQVjQkRJwZgQUVIwJkSUFIwJESUFY0JEScGYEFFSMCZElBSMCRElBWNCREnBmBBRUjAmRJQUjAkRJQVjQkRJwZgQUVIwJkSUFIwJESUFY0JEScGYEFFSMCZElBSMCRElBWNCREnBmBBRUjAmRJQUjAkRJQHw/wG7KJTl7vMmvgAAAABJRU5ErkJggg==)
Find the variation of refractive index assuming it to be a function of y such that a ray entering origin at grazing incidence follows a parabolic path y = x2 as shown in fig
![](data:image/png;base64,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)
physics-General
physics-
A light ray travelling in a glass medium is incident on glass - air interface at an angle of incidence q . The reflected (R) and transmitted (T) intensities, both as function ofq , are plotted. The correct sketch is
A light ray travelling in a glass medium is incident on glass - air interface at an angle of incidence q . The reflected (R) and transmitted (T) intensities, both as function ofq , are plotted. The correct sketch is
physics-General
physics-
A cubic container is filled with a liquid whose refractive index increases linearly from top to bottom. Which of the following represents the path of a ray of light inside the liquid?
A cubic container is filled with a liquid whose refractive index increases linearly from top to bottom. Which of the following represents the path of a ray of light inside the liquid?
physics-General