Class 10th Science Lab Manual CBSE Solution
Lab Experiment 10aLab Experiment 10bViva Questions- What is a spherical mirror, give its type ?
- What is an aperture of the spherical mirror?
- what is centre and radius of curvature?
- Define principal focus and axis?
- Where is the brightest and sharpest image is formed by a concave mirror ?…
- Comment on the image formed by a concave mirror?
- Why concave mirror is called a converging mirror?
- Give two uses of the convex mirror?
- What is the difference between a real and virtual image?
- State law of reflection of light ?
- What is a lens?
- What are different types of lens?
- Write the lens formula?
- Write the mirror formula?
- When does a lens behave like a plane glass plate?
- What is the way to increase the magnification power of a lens ?
- Comment on the magnification sign for the concave and convex lens?…
- What is the power of the lens?
- What is a factor the power of lens?
- If we cover one half of the lens while focusing on a distant object, in what ways will it…
- What is a spherical mirror, give its type ?
- What is an aperture of the spherical mirror?
- what is centre and radius of curvature?
- Define principal focus and axis?
- Where is the brightest and sharpest image is formed by a concave mirror ?…
- Comment on the image formed by a concave mirror?
- Why concave mirror is called a converging mirror?
- Give two uses of the convex mirror?
- What is the difference between a real and virtual image?
- State law of reflection of light ?
- What is a lens?
- What are different types of lens?
- Write the lens formula?
- Write the mirror formula?
- When does a lens behave like a plane glass plate?
- What is the way to increase the magnification power of a lens ?
- Comment on the magnification sign for the concave and convex lens?…
- What is the power of the lens?
- What is a factor the power of lens?
- If we cover one half of the lens while focusing on a distant object, in what ways will it…
Lab Experiment 10a
Question 1.AIM
To Determine the focal length of the concave mirror by obtaining the image of a distant object.
Answer:MATERIALS REQUIRED
A concave mirror, a metre scale, a mirror holder.
THEORY
1. A spherical mirror whose reflecting surface is curved inwards, i.e., faces towards the centre of the sphere is called a concave mirror.
2. It obeys the law of the reflection of light like a plane mirror.
3. Thus, the parallel beam of a ray of light coming from a distant object, such as the sun or a building can be considered as parallel.
4. When the parallel ray is incident on the reflecting surface of a mirror, then after reflection, the rays converge at a point, and this point is called principal focus of the concave mirror as shown in the figure.
5. since the image formed by the mirror is real so that it can be obtained on the screen.
6. The distance between the pole O and principal focus F of a concave mirror is called the focal length of the mirror. It is equal to half the radius of curvature of the mirror.
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oZI1BVTTfHKKGqqlJGKaV61Fm/LSUECHDOkSNlVNN4T2/f5s1vTIyPvbLxlZ7e3uHB0b7B3smJcdliqagoa26e19BYwxBWnXKKu7C4prFREiVCKRAgOvshoVn8j7O3n3OLLY3JMZSLWbx0y9R8C/MPDWVNCMk7gCwVZg4l6J/og0kkEhaLRV97xqWyfqsoiiiKx+H+zLB75SUMNX8yAw2g+UaapiWTSV23ztKL1DRNURRZlvVpNGucrHnIfU2cc30FIaKiKIIgGCJ3rGX6uTMwe52iy4b51seKRhPOub4bGxyZYEJXzPywiNzgQDVxrEzxv2Yb3ibuT6NMkGRyk5qtSsMgyv0QUqSrOvNq2j5Kpe8jaECShIsILHVPQggHJOk75RMy0yxn4DcZIpja6NJjyDvLRnrL1LARETEUiQ4M9Pd29+zdu+/ljRsjodD2nVsS0bhNtggWye5w+tyu8857n8tuX7l8vq+ixucLMCqIkoioEUoJEG68pynjik+HxaRfqjE3qMeoCCFc44hIGZ1umaGJDhY5AklREBoPPkukU18JMyw842Rj0qbbn2fwCLKWynT7/AyZXdMp66xqWEqoQdNraHmzoWfW4/pXSlKhjOqKI+vVIGI8HrdYLLlOnL4362CcvqT1HdrQ7PpNU7aDifQ5a+eYpRbO2ngMa24GTT2DVsqjU4zrMsYIMWsQTNMg01wdnyLg5QiEaFwzrzRirHm92pACUIhPTlrs9qliv5QIozEGRL1iMMdtVjjVGBAOEgVqMjjNjNvGy0EkQAglac7gDDjarPxmtiTNAFPWBm6YY7mSYarVhjRx+JQHpwtGe0fH3r1tRzoO79q5KzQRaju4v6uze2xsWJItiPy8tefU1dUGvNaWRUs9nsJgcUlxSSkTKBBK9F2OMpNOJplUzJAGnAwiZpplVuj7j2mxTXl906EVeeNVmqbpV8uaCkVRRVEwC7q+z+ed8+mEPneH1zTN2N6z9m191ekiMZ2Xke3yAOHIdTnJY3xpHBCpwFIs34i6TtEvZVhVWWuYc845UkoME49Sapxg1n1HpdHNVfdm5ChdMUtm9ms0TcvlkdSlN+9EmecqdwM4VksnCy9E3dNBzlE3700Lg+i7H0KG2sb0IiTAGDMUBSJiXN37y8e8S+qLzpqnYxRTYprWKZgxcYBINI0L+hslBBU+9tTOvke2CoWFdd+4kDoFXa2TdLQZScqOSsErYApCHyMANjOKmU9xkOm37lQOSxa7OgDyKaZyoml8Mhob6B+IRMLbtu84cKBtcGDoyJH2HTt2cU2zMizweAv9wdq6qvkLFrU01peVl5fNqbVarYzRtBOX8cqNLSGvbZHLC51IJBBBkkQzRVYadaJZPQCOajXkNRAM2828nxuLLZFIiKKYuWBIrkznfXHme2X9xLy3m1eyQV3INQ4U8m7suTvwdG6U+e7JWIJQygSmY4LT+aFmOzefaYacYzKpyLKU19nJehbIfvv5N7ncYcyA2aW3ZszltZ1O3WSnoWNWzhtSzjWqL2595VNiREZQ/zDNUwCIXOOaqqmKYrVaDUsQNaSM6qiFOIhCjABHTpBRamobQRARuSngSojujugAjT44tTc0fOemhEO0NRXzFCMCIYQipC+UsWBBUzUmCnmnL5lMUkL1V34c8ESWTB9NZ6fB6BwLnBICQDSuUUoEgboKHAVOOyFk8eKF6RYnGA5FIpOTL774/MjoeGd3z+bXXnt+wzamxUaGB1SAuU1za2prgoHA6aeeWjmnKuD3BovKRUmSZIlzva1GqodG2j3N3iSNFgyyJAOAhlxT1dGBgfGhoYYF8xljoNtEjBr5N1lKKsvi0DQta+2Z4ZgsLWyeOsOEMZh08sKueTcA/TRN0xBREISs7T3rt1zjmqaJkpi6LM3Dgp7XUptOBswypioqEKKqXJIl3UjPihMZT2Qg6NPJD6VElqXpGgPoULGmaqIoAskYc64BkgWi5SrcGfCmvMPLgnWMP/LcyBi9bmEiRy2aIGPxydYulFTX0rnEaQGKkEDl0FDkyIDodtoai6jLgkhGXz/oaSqJ943FOobsFYXWhlJlODbw6kH33GJ7g19NJsMbOpwLywSfdaS10+F1SUSZODhorQxIZYUgACBgVFUGJ5WRIam8SLBbqYVBCr4goPDxp/YMfHN9+Vcukc4tYzaJAFGHI4nxIbm2VFOAD4ZlEajXpVAULRJHjcc0gQkYi6ucM7uFSgIoCIkkMkasgqqpKTiQzDbFIO+GcHyJQJn4UqolUHa+oR7XR6CMEoIcqKKqjNAjXX2oJXfvORSZDG984bmDHZ2739qpxEOKwt1ut9vjtkrimrXn+AoLFyyYX19TU1JeRgglSKhAza5fLBKzO+0mJD4lZBMTEzd+7nPbt2778x9+37RgkYposco07WcdNVtP1ylmEz3vyjFjEIqi6PmBR43v5IF+0ifowSk4mj/LOdc0jVFmdnZmE9PNiwTlAtWZ2SipzSSvf2Gkwx/V98mdBwPw0r3OXHcvL8Y3gxVp7AdGnwn9PU73w7wPZQ6HZeMpU0eSD923oefPm7krEINJOR5d+usb4jza97sXB57Z5amp6dvWVnJaQ+VXLxT81rYP3ynbk2qSJZOqMhkpOW/5kWd2ykKASeO1/3OVUOTe+4nbKz7/Pnttye7P/dbBpVhsMpHgk1pswS1XO1fWqL1jPT9/YfzNAV+pDAHv6K7Wpts+KS8p1wcytqOv70uPaW2jQpmdXNJgUZK0M9Tz0l6hxDr3N9dpb3Yd/tVTRCZxQaw+f4HvE2cTu9z+5QdIRJvoHxSjYWup23PBGQf+bz32hgo8gTk/udLS4M9933ml2ewVZ32eBp6On6N8miWKJnxkmuAoANc4IQCUJmLJWCz20sat4Ylw6+43Nr/x+pGuPg356NCwyEhTQ51VEuYvWugvdJ+68kyvz11cVGqzOyijFouFUJouJwBA4Iga508/89x1n7zO57Tcfvsvl592mt3hgDSJDUzjRmVtpLqUTxeLzZuSM91imBGrItMtwuliZHo0SrfnzUvoqAtbVVU9iGOYGDP4MibrOzvAbETZjF19+klIOQKGpTMlD+l3EQlHZVkURMEsotNF06ebsSzfSlVVY1oMA80cp8tVr7mMjsaNBDP0iABkONFz387iS1Z5P75UG0u8+cV7Dz6/xTZBJzeNLPjlZ1mTp2jnSOvnfmd94LXST69WxxXVUlD5nUvtorzj2l/17OpYcMf11G7ZdeNvo609Lp+bRyA6ELWVJH0JS8TlrP32VZzjoVseHnhmh2tJdfedL0X3DTT+z5VCoeXAdx+XJhAVjSPX8XZneaFw1Tkdv3xszi1Xkmp73w/XR1pHq665SG4qpAOxw798uuQD58pnzVEPTHT/5BFaHCxY10j71MFtHQ23fYyE4yO/e7n9O3+v/vIFlgpv/w+fGHjozdIvrGWiSKZf4pl0lilALuuVzKZK4ihBuPzGDjmaKwWpjoGEEACLRbRapfdffDYAAFysabxvaDyiKPv37h/oH35t48Y9O1975ImnxsbDwm2/ERAKAx4mSGvPPtMfLF66fGltbV1RUbEgiZqqiKIEnJ9zztpbf/Lzr37xv26++eb/d/vtp591FknTdZqRYKNznTk1Qx+e8U9z9DqlTUynZSWq5WIlxpWzQE1dUM3qw/jKvGhz149xNQN0n6HSXzcVk7HEwfbDbfv2n3n2GYIg5IpBft/EpFnMqtbYz826OAuvMaPmhFCzVjLrMs653WGdwZ3MxZuyxDJXoRjvzuwjz+wbZlglOcKcQh9STgFi4sioGk4UrpvLrSBZbaf/5lNIsefbj8iLilizm8nMvsRfcHpD/6ttJVedFY6Eat53ir3ZixNx2SkELj1VanRjXHOWlcUFVqCoFGSL20EFaWhkInDZYmmhiwErO7tx4EBHcjAytv5w7SfPtp0aAIL1N6xp/94oczlSoTIE0SupzXYkBG2qpdhuIxQXlgZvWkoZ7fjmg3JlwHfNQuaXebMv/Fr94LOtnrUtkbGRyiuWF5xRAgIbfWl7YY3N96G5RGAYsMUODAuUAJl29eZOjdmuzo2UT+cZHQcv92xysabzdfUbCQIrK/YBQGNFEef4qas/QBA0zg+1H9m/d+/OHbtDkbE9rfvXP79hMhoZ+eGtyLGqonL+woVWi1xWXr5q6eK6ufUXve8syn/0hS/c9KnPXH/Pn/64bMWKfJ1NU7a9OcXRbHmlKPrSQH5eIzzXo9GdAv1ZzJCtGTfRvzKW5XQzZqxe87swMvRm4/j0dPds27J9bCzi8TqeeuKpdeefV+j3ZeEaWerMsGLy4j5GAykjeWc6Uw5gKmEnr91hVqZm58sMuOiB4VwfypRglQepyZUxs1Y6pj48gvGqAAA4JoZGNUiiTaaUalwjFqBxHNi8r/T0+UYKarCh7PChHioI3lIfcE4A0CJYndbowATnSBhTjoRsTmcyHBsbDZXLRJXAVuKyWOVoaNLpLOCJCU+dn9qlAidhPsopR47gpDZUMZ4gNNWKGAgwWVCiiEkAJOHxiKOxhEgMNRBGCPG6wS0CECoxsaGw4y97GxSQJQF5EkQKSVW2SDToJwIBQItHjk/EEWkKYzb2fSPZJoeVIK8PGY1GrVbrdM5/Lsye1+ycIXlpNk5+llIz2capxc2oHpwDxmh9fXVDXfXFF5+PgJFILJlMhkKhnTt37t+3b9u21lBo4tXXXxscHL5NIF6PV7RaivxuSRIHh4c+9alP3/3HP9bU11ptMqMiAhBgkG7sm/1oRuQ8NRg0BfnTwcJsMJKavSGzFshFGQ1bw+y9Z0VY8/5K/4nu74iieFRFryrqxMTEX/7yl+KiIqvVLsmSpqovPPviZR/+oNGK27C2jL5/uSGeXBsh12/Ku/PraW8zRCSz/Mc8sEsOEJv3CjNse7kZ0nnPnI51CBGFLFRZAaCTmto9JJeUUiL03bshMhYvWtQ80TMYBDYxEXJJztE3DjnmVCLVNE1TJQkJIYypTJKAUkpB5Va3EDnQXdS03OkXkgMhe6k3ERovqCtChwUQRjrGkwk1cIUQidHkaNSm8kQiISSSyVFVneQSpOPDHJKKIhQL3EIAwG6zkqhKEAglcol3sm8Q4xqIDDiQcEzhQAVGfe4kTYVXxnuGrKqKAMhRFZnscWqqxhghlJpy3cjM7kbWYrDZbEbWf96ESB0OzIs+5kY3ZgP95m7IxlZjfrvGSuOcE2o09oZ0cJ0AgkWWHHabz+eeM6cC8aJkMgkIoii2tu493HXkUFt7W9uBl19+Vo87dHR3rTzzrGDA01Jfu3zxosJCl7+8vqVlnt3l83udTLQikERC0SPBeh4A56gXc+jROT0jQXdjwUQ8TnI0S1bkIsUXkSm1+h+642mAlOYtNBfKNW5htn2mC0jrJzNB2PjKG7/5zV2rVi5bt+6iwb4+IjJVUSbGQy53AZmmECHvh+ZRGQ5XVpg214GilOqRrCwIKcvmMj9gFg2KoeOyxExXrGahnQFVzC2kyqsl8xtcQDJQaCoy79K6I17v0N2v+Piqyd1dB297tv4LHxTqLe3fv7fkge1ybXBy587Q7oPV37wSRAhPRjyCSClBDRMxcPgK9NaGcS8rADuRgaMGnKmqNhkOq4mEVZZQ4wVVgck9wyCR0o+cPrbhTc+yCklUu+/fAChIFllP/tQzTpJjYeRJyWUHgImJqKuwQJ8kdYE/8mJrfFu349QytX1s4oWd8648I0kTdlnG8iAhJJZMFpR6VUXQo6F24kiocSoKme4rOWoNxXRxn+m8TUqp4ZoeHR8xLa1ZpRLluzUhZMr3JkAZ1Ss4CaEAUyYNAOionoFSC4KgKSoQaGmZ2zy3OnLakh3bd/X3dezctSuZVOy2gtWrzw4E/W/t2v3cG3v3tr4Vj4VKAu6YyhY0Vc1tWVJWXlZWWrJg0RK3u9ButxFBIAQQNUIophqrpBKojSQmo3gqmUwa+fhTwF46LT03p3O6lZy78PLOsPkcQxPlmk76J6tXn7F02ZIHHn503rz5FWUVoUjEYhO3bN16xqpVskUy5CbvW8syl7IaeBv+3cyWqa4UdD8l1yvJ9UEMC86YurzO5uyjClm30P+ZZfjowQoj/S/7VWY+IZCgPPcXV3bds/HAtx+POcXyj67xXdAoOi0Nkx/c/YeXhIGIpdhT/MlzPOvqONcsDaW8MBVOF6qLRJ+LAEFKQppc3OibjISksiK52ie67Ly0bGwkbEUgQAVHIBpMoJ16Lp07uK1t5+f/SlFT/cxl07htKsECKLEGPNGImhgPkyKLNehP+AoIASRYdG6Ttm2g42v/55pf1vHynqLGRv+HFnOBjPYM+VuqAFCkNJ4AR2VQT+LSOOGiEXhDQOQaTiXCzL7gMgdlnMG6OSG1+TMou+kHn1Ir0yBH6T2ZMiISQsiunW89vf6BP/7+zx2dPW6vr7Gx5WMf//jlH7zUZrfpN9AQxkZGu3u6Wt/a1dc7tGnTKxtfe3Pv7+8GVVM0RZDtixfMKy4pqa+b09LcUN+40CphaUUVFSRE0Hd2jXPKGKTzmHPxgrwaNu88G7uoAXnm1mHOkB8Qj8cZYzrmmjfa7XDYrr3uUy+++NLjf3/qmo9f47S7FDW5f0+bx+lZesriY90tzMmpRhR5OpNqBic6FwjPSnc20KjpBjb7fSs31Sjvz409IBvQzefrInIgSdBG4sxlRQlQRIpETag0hvGBCYvPST0yCoga4liSuWUQCCBoo3GwCswmICKGNJSBilQZjgpeGyEQH4xYfE6QgXAy2TUh2CXRJvT95RVfXRUJeDXO4fBwx63319xxnbSgKF15AqhitHNM9NskhyXWOwESs/gdem5qcjSutI+Gd/RbFxTbygrEYjsghtuGpQKLXOIEjYcPDNsCbsErAUD40LAsy2KZM10Rg2+++sbGDS+WVFYuWbKspKREssgCS6e9p6sEMyEDyKoJymzPmichytQObariQY+lIBwPgnv0n0wN0owPcaMmIfeJEonEww/9/dPXX1NdU3fB+Zd84hMfq6ysoDQFJmZk/eNUNQRHraenV9O0kdHRJ598pqOjY2RkZNPGF7mm2QvcAnC3x7OwpWnh4kUel3vZkiXuQMDj9Ysio1S3zGlmiCTDDZ0B5M6bxjobNGqGSqIsOj5ATCjqV79+659+f/uNN3y+vqYhEU8wgRW4XaedforX6zshW0VWtfHbueYMgZ4ZirlnWa6ZN0h0dGDo+Bm0j4+5LM1UQBLY8e3HYq8f8L3/VFuhY/Rvb02WOGtvOU/wWsgsbpJaqVOdyWCKDzKdrj9tlIfDzTd/6an1f+/q7hYli8thKwsG6hobSkuKWua31NY3lZaV2e0Oh8MOpmR7zJg+NFXc6FUBSIhR9DyVpwxpBZUuVcwuWfwHHwhJRX110+vLVyyxpQvTj0Wg9Yi7wDki8tGxyPZdbZ3te9sOtvX3dO7ff6Crq6vAaZ8IhX1uT2NjfVlFSW3tnFNOOZ0SUl1Z6fIHCAGiv8L0HOcmxSQTOiOn0R8uXfT6jkloJBK99JKLu7s6v/albwIAiCgIwqJFCxuaGsn07ti7+t5mxwVjIDsnRAnO1h6cjU7BTAKTt/XGDCgRSXT3QOhvb/W+dlC18Mpzlnoubpbm2FOEjFm643j4po1wDsk+CUHV+EQodLijW1G1++/989joaDgU6+sfGBnpmxgf9XoK7E7nqStWlAS8pVU1TU3NzU31stVKmajbkYAaJQxzTVY0FfgQYg6AkHRJMbwniSQziGKOa7M1HilVgw4YmoiMjoyOjY9ufOXVjo6uibHhvfv2t7buslpkiWgel9dZWFhdXbV48dLTTlspy0JTYx0VLIwKegl1eoaIqqiCwDCj+Cz9FwEAmA5rP6ZpNhelIocHH3zo49dcc/VVV5+yfAVlNKEkbFb7mWefUVpScnwUVidcp8xM/jT7eOLbvF1u2Ott6JQTMkqFQAKQoCKqgpiTn4qzTArLHugMQpUiOkgz4+tSpJczDg+PR2PhAwcPtrd3tO49tHPn7pG+tsGh4chk3OWyNjQ0lJdVuB22ZaedXlVVUVVV7XI5HXYrYVKakSBtggHVPY7p097eKzrFyNAlJ0rmch/NQGsBFJUPDQ/19g68+cZrQMhzz2/o6T5CmXSo/UBodLDQ6yoprywvqygpKT7t1BWNTQ1ety9YXCJJIqUEAcKhSYfTPsWMZySJZScCmMYw66nOKHRHMjkZvfjiS9sPH/jON7+VVLjNZonF42eecUZtXQ1Hfecn7xq77XH7VsdK5vR2LKOpqTiqTkFE4Cl+FZ7koCG1CmYLP4+imok7D3iCU0qBEVQ4IBKZccD0qiQGmZuZJOXYXCs02O2nTeVOM4NgmhMA01TVKbxD45BIJqOR8MjIaNuBjm1bX+/p6T/c3nP40L54MpFMRhiTqkuLTl22SHJ6WuY1tzTVVjY02WxOJoiAHChLZ2wQQ78YyTEzp07/IxygE6PfMG3tEOBmpivM+E+KhEGf5GQiHg6HB4aGt+7YN9DduXv3zrbBweHDR8aHBwC4RZYC/kBRwHv6GWf6C70t8xZWzKkKFgUpIUwQ0y7lVPMUJACYbjg3xVxKskqcZilFzzz9/KWXXnLe+9acd+4FCNThsMXj0csvv6KgwAnpCvgZdMo7ynGtZy3MXD30dthIj8/bmp1OQUBFG3hhj6066KwNTNy/ZeDlPfW3X6XzM06fYjy95taw446nZaun6MPLev/0RrR7oO6bl6KUPVye0JKdg0kEZ20x0GOQeFQg3j4kBJ2C20JmP13Z3lU23z0AaIpKGYtFEyMjIy9veHnfvvbOI21t+/d2dnWrKo9EoqVFhfOaGyvLK0qKPPOWrqosKymvrLRYrIIgMEGIRmOSRWaZJRX/Ym16TGKHeYNNM6xhfSMAQqKqlphMDIyEtm/dMTp4ZNvWbW0H9obDkwfaDpWVBodHxmrnlDutcsuiJbVz5ixYsjRYVBQMBCyiLNks2dXTx7/IERES8cSKFaf29nV99zu3MMqcTntkMlxdXXfKKSvsdpupnsOA2t49h2g65oEZMOm8dJ/vhPoTjqqx+URs8PbHAtddZK3wUkKdIcI1BIHQtKE7RRQGJp4lkp2XmgJGFCIdjrAikTDKSjySMlVrk/YfEAF4RG3//mOeU1qcc4J5HH0ztUfmLqscHj70uXuKv3yhZ3Xd8YHqqTh22gY2+PV1kbHbLXZ76ceu+ohOsxQOTY6MjCiKcuhI/yubNgz0dLy1/9BfHtzL8W6rAA5XQcBfuGD+/HlzmxbMX1A+p8LjC8qyJStR4lhtsffsQQhyrge8EHKYfnNALTPwZNBloU1gNpfN7bI2zlmnZ17EE0o8Hu/uH2rbu5eD/PAD9+/YsX33n58WrMrI6FDLvGaRgt/lWXTaCm+B+5SVpxYHAoHiYkEv0iFA07TmeQmNZjDdZIvlllt+cO11n9z8xhtrVq+ORicBMBwOMYGlAWOSAeC9u803jhrVzs2dOz6w1uCymOXTCUfR1RqOPLlXGmDJjV1hnyMZCw9EovZnOmPbDsrLS+TmElu5m1DgoWT4xfZE9yjzO+RFpfZqH7CMwjw+GVfeOKyOJSxNc8a7x6VCW4CCuzmgVdiBIia15N5u3j4g1layqgLitBJVtUxQ7a3uRNeYXOWFRCy6f4TEkuCyCSUuwWUlALHuCcFmITyZHIwiJfaaIFLk3WFnjDoFK2gcGJsd5nR0NhREZMIUuZwhmc4Cu91hVVV1Tk3V2WcuFxgjQEZHQ7FEbNMrGw63H966bevWXXv+9Of7BEGMxyb9weCixUvsNlvVnKrz1q1zFTjLigrd/hJAYvBqHxV4O9GCy/Mh2cd36Nw7aXdy5stOqeuZnkgQBDtjDrvV53UvmFuHQC7/4HnIcWRwcnxydOPLL8qSbf36DQcO7vzLXx8e7OskIHM1WlxSVFlZNbeqtKx+7ry5TTV1NcGiUsqYzW7RI4WYJlqfhhFOpw3CtWtXNzU2vPjSC01zGwqcLkmWVVXduWPH8hXL89bv5YrN23xfM+up6SLHx0rRNvMJ5pLOrOUzPcf1DPaVwg/f9lL0vq1yaYnv2mWkf7T/7s1SQRFa5Mh4l6PaXvrtD1qLHYP3bh749Warz8OCspZMVHztfXKTH2hqDWqh6PA9myYf2i/YCxOxcSEBfHV57RfPP3zb08rgcP0PPjr+1PbeXz1vZ57RRFSoFuq+ctnhh9+AP+4ajcWd581t+tZFw797pv2xHQUObyQ0GjilqvSmi4nH2nnrQ07mGGk/HOuPEoHXfeVDUOfv/vrf8ZXOWLO/9v99wF0bgOnpVE94B5acmUxxaCYSya7OTgTyxLMbj3QeGe7q2rHjjc7OTqvNxggUOB0ur7e+pnb58mWrTl/p8niKS0pkSQZCKU2ZS+n3lpFpMmOkBqe4IzPMOA6gb9opPaKz1k5hSf889pKBi3GucQ2SaiIyGRseGhjsH3362fVHOjr7+vomRgcPHe6glPj9Pkm2lvvdixctrCoOljU0Vs2pKp/TaLHIjFIEIISlYRkTmzIC5/jDW394649u+cgVVy5buiKeUJjAqqoqzzr7TIvFQiiZbkMy10DOTAo7qyDp0bJgjVLG3B/mhVSyqFKOG5LPo1NwGp2SoZP6Yvs/85fSG84pOKti4vdbO+96ueHu66Q5ztCmvo5v3Vv94ytlr/O1D/+w6cYr/JctSo5Njv3+zVhfZ+XtVxMREAA4hF871PPNRwKfOs93cXP8jb7OLz5iv7S+5MazjvxofaJrrP5nH95/7T3BFfWe/+9ULZLc8rm7Sz+2vGh5Y9eN93muWOq6uGX4yT2tP3x0xe8+bakqHHxxX8d3Hyy+7uyKj5322sd/XhASqr7/Qancc+AH64EnG279gPpG75GvPFD+3SultUVUorkK28xmeML3/Iy5NmW86YghT9Nvapwf6hmJJZO7X3+5q2dw4+ZNY729w2NRzpW+nr4CG1u0aKHFZm9paVm1alVxcZGv0Of3BwTG9J4BpghLfq7IXL7HfBF5U6wdM4jDTwhQ924CzGnqwSyeWqAUDh06fOTIka6uI48/sX5ooI9woXXPW5Fo2GaRHE5nQ31tU01FVeWc2nkL5lTN8RUWFhQ47A47oqCqqiAKiJhMKJdcesm2LVt+99vfdnb1OJwFoiQuXrSoaW5DugfUMQRfZyRPOfGWaRbB2MwozOwHMwNvWQ53ZK7ZBkSlXItDYjIBFFVEFpCEaifKYKmzhybDhLGRF98qsgajB7r7busXfI6JgW7WFVIn46LbotNcj21o5wUu3/ua0MrlxQHrkmKFaMg5RjTBbVfUhLOxZOjpbePRzorzli/46gVSQ5DHtJgaw+5el9DiPrN2adVnRAvh7T12Da2SIAgMAQu8XsuSItuiYhCId36w45E3gHNWZAupERKkVMpfknNMU3ms5kwGh6sJoNS9b5r+klFaXxEAgIW1H9U4/wLeoKnq4d5xripPP/1iZLy/s+PggY7OP9xz36//93eSJAsUyytKysvKFi9dVldT3dDYUFZeaZEtlHLGpKmIhx44I7k90Kaqlo2E1bZ9ezsOHVi77nwqCEgIwD8rVqy/VMzJQtJfWk1NVU3NHES46uqrUcNkMtnT1xOLJh584MHI5MTBgwc37zz4u/settvsFkm2yZbCgLulpclbWBLw+1edcWZJSZHX45o3b97uXbteffXVmtoGQklkIjQyOBIqCzscjil2t7z78TSsl8exnt+mA5Wlm/Iy5ub2Y5mOcmEG8hQg0+MpxvIgAptUhoBoiAAJ7vIH9RmklNhdHiUS1RBCPYO2kTJFlOnBMcHq1FYFOHBjaQmSKCLyuEIKJJBInMSsNhcVBGCEaFz0WD2fXJZkdGx39/gzD2ieaNOPrrXWFUuBgBLSCBB1NDx67/r+Hd3xQqe/tCwaCjG7lBiPRHvHgmsWAgOk4HDYK5gbFIxPTBYEC4lTBkAgNNean2k6jtHPnFHQs+wHar6S6bKcUcKAiow1zgkCYlPdVbrFEFPUsbFRAVhr676de/d2Dfdvfua5zVt/NzQypiUjiqKuWL68oMA+r3n+4iVLikuKmxsb7U6HxWKDdKt4mOIRhynIVK+CA/L5z9+0a/uWr371a/9xww2EMr3T0FG77bwXjZRM2MZU1WXKGdBhcIFYBUtNdTUB0tBQy5igO5cHDh4UmPjaa69FY8nHH3+irb3n8AtvIo/f/KUvcY2ffsqymKJqyB97/LFPf+Y/HAV2SXAf7uysbax1FjimW/bTFWS9yxM4Ha1yboXhUUc7+y1ZmMWwsKSimFEKCAQTI4c7i/VtjwGngEDdzVW9hY7az54tNRaixsPPdYxu2C3bbKm5FsC5rDr67H4yGiV+CaIqjMZARaAgeu2JrogWTg68sqP8s6dVOS2RvQM9X3tg4ukDUnlQENBT6gXEoYe3hjcPLLjtOnGOG8fUza/uTYwnRIusAk30jukQgeS0KypBAFTVifEJhoZJf0IioyfMRk9nCRsjm7JrdG+GprANbhOZLeAHQoKBlWedvTKuKvDFm8PhcGf3QOu+AwJjG55fn1SV+558/H/vvJMxFvAHqiqqJFlcuHhhwF94yrJlc+e1iJJEKGWUAcnACjjyyz58zYZXXvnRT36satrnbrpRoJLJXfunj0JlOHqpmTeKNYhRxwgAhJL6+jpEnFNdAUCuve5qAjA0PKoqiR27du9ube/pPLB3z66OI0eGR8dCoYmyinJJtIyNjBzYsz8YDCDJphw9pk1rlkph9pZIlll9TJU3eQGg41gUwtHeDWoKH+gYdd+/xRK0CJJgcxakFkFUk5IoWizWeQF5aWXnzx7xXb5SnZzs//2bBQsbkE41C7Y3Fo9p9MjvX/KeP3/8uV2WgZBACHBQQklqtXOVJ9d39uzsKr3uHGF0TBZEscANKh8+0G4pkpOHBmSbJVZmZZBUe4b7H9oijce09lEmS8VVpYSnRCc8NjGqxMoYtXhcVs6iOzvFAmotcr2d1TEbxXy8Hm+mTskCQwgBMNMxAwOwiyIKos1qCQYCyxa3IMDHrrgkoSpJzscHhl56eRMltidfeCU22ff008/19Y0ODXVf/oFLhvsGkJHTTl9ZXFxS29BQPafa7/frhbmf/PiVPrfzpps+94Nbbx0ZG/nWd74rCqLABESeTa48CzPhH+n4HPU7kmnKmNL5M6OtqVa3AMTv9xGA4uKitWcnd+zc9ZGPPGq3O0dGRp548vG6+gbUiMfrmQhNpPg08+EjJ2RDmoUEpntMpMcwg2EyG20y869OQCw5dYbHOuem8/pffis+HqX1AQdtIQwAgdtF4dx6WmojBcK8Wy7vuP35Q7c9Q5ngX9FQdM3SVMAOCEFgPrHp2xf3//qVPV940Fbl961sVEqtGtdGY6GCmoDolguvWtV7x9PjH787gqq1saT84iZWIDlXzNvz0LYaq8V/0bLDT2/f8Zm7NcFSsma+/az5vNwdj8X6+WTlnBpgQJCElXA8KIBAwCOTOYF9P32izHKR5cL55L0j6RkIKZ1ehmYIHJo4TwEAQBZFGcBZUXbVx65AgA9dcb6mKVpSa2vr6u46vHfv7g5r92tvbvvNbx+bCB1C5F6Px+N2FxeXrlx5miDQCy68+Ec/vOUb3/zWr39zF9HUb33v20x0gNHB0MgwNiXdp3NUMx8zr2r5h5o7ZNaL1igq13tEpeo2UONqctebr/7wp7dtfP1Nf6Dkl7fd9v3vf7evrycaiVisDlXV3G7n88+/sGbt2W9zV3/bekfvxJWhDoxQ0WwzX08QBnz0WHLObkyMMnqOPL0ESAoT5KCMJkSLDDIAQ0jzHxv2ttKXgGhSLHKCCEABKGAUQASwANGQD2m8exL8EgtYNEEjlNIEIXFAxomdQRwSB8MaqLZGDxBIdfpJAEqo9/QgCQIcwIoAwMOo9Ebk6oLc9Nx/2QNNEIKpog8BFAVjk/zQ4Z3btm6bmJjctPHVzq7ukdHe8fHxWDRWUhKMxqKqypVE/D8+edWV11xbXj7H7XEB50wU0YRFTKdTEIC893TKsS4JMBp6A3BV2/TC8w8+/H/3/uX/GpsXrTvvws/feL3dZrnzzju/+pWvXHDB+WeecaYgyiIVvD7feeefywQ2HT/TCc9X+Me47cdi4Mya6yCXXN6IPaaLcVPtls0Bpwzu17QnpWmEUEZpZmslJKm8icxVgRwIzWz5zozwIedcUVSd69B4f1OtV6dRwzNXJ/2L5Mvrue7pVpsmtjfCNR6NRcfGxoYGh3fu2rVx40uPPfaYTllICQii5HQ4CxyWc087fe7ixVab7ZSVp1utVpfHw4y+0WZpSGNW+WoR0dxfdfbR1ndr5Rgtvw2DhatKYnR45Fvf+u7f/nq/x+//3A3/+dEPf9jn9VBKQhMhFfDUFadQCl/5ytdcBa6R4RFZlk47/bSKygrGaF4Ci3eneC/v7vIO1fXkK0afamqu312Y1X3MVq4RDzIVoaZ2L73NMMdUh0cjO4NMSWCKPo+ApmoCY4iopTVFmjx1qkE6prO29OtPNX8AQEBKqSgKed3OvFNiZkg+4S/+PRdfNc0JMdkNlFFRFEuLC8eG+vo6923ftl2SpFgiuWzpio999COapvX1Dbzyysuv7Nr14HMvdHd1cc4bqiurqqsDRcULFy2prKysrZ5jdzhLy8oIJVOsJ0YGdwamOBVrymuH/+PnXIdDELnGu7o6f/GTW5999umugdD3v3fL9Z+9XpRE4Knxu9wuJLB69Zq///2xZDIxODQoUKZx3tPdO2dOVY73l6cC6JiCvrPMhTUTMplZ74611iOrK/Psi1qMXivEZG3Mxk7JsHQziKFxKvMhlT6HSAlFMA0L8y90RNQ0NRKO2B0OXTWYhB+NqlYEmAxPKori8bgz0r2m+r3oCeEZGGdu415zws8MkzWbnMV/lJ153Kap2XIkCAcPHPztHT+97/8em4zFCKHr1p13w43/uXjJAtEoPgCIJ5LhSKSzozMcDj+1/sl9e/cMDAy3te3XNNXrdFnsVkES33/p+0tLi5wOx3nnv0+WraLAJMmSVeqTNxgxXd7nsT6X+bLH6muYZyY0MfHQAw/8/Oe/6Oju/8hV16xbc/ZFF60zuvxhys0nqqpu377rzDNXrTv33IsvusRqtSgKVzV+2WXvFyUREfU+x7Ox0WY49A5nWX3m841fn0ZNb/mkqhpjTF+dWTxMs8RoZ/MToxUBANE0lTEhXUOUEakQZv2wHIEC0bmFaB41oas6YuIp0G+vIRMEyOJuQyAAAmNujwuRGG19jU3WbJ/aHbaUe5WVAmxui2siRDE0SBbhKCFmPjiS137JIlj/53R7iFFXnX6QVG2LPrvjE+G7/vRQMFj0sasu+shHr5zX0qxbgmjqTWKxyBaL5Pd5gZCzzj4DEFVFi0xG9uzZGw5HNmzZMt4/+PKG14eGug+2tYmyxSJLjQ31NbV1c+trFyxZtrBlXlLjlVVV0+WA5zbZfZsBkWN9XwQAUQlPRO7/219vv/1X7YcPL1264p6//q25uYkZIsS5Pm9Gb536+pr58+d3dXb6fL7BoQFCBFm2RqOTAWcgM4p0nPVTWc3PZ7agOdfSsX9MJjVZpoxRznkWk/6s1nZmn7aZp10/k1JJVVREVJXkyPBwoCgopfthkSx67mn8ApjKA8+326fwDp3IP8VdQhAAk0rXA89ba6r9y+sI1SEYBE6GXz2g9gwUfej0lHNjrOF0XVlmHjGmLjipEFkAMZe+D3jaRDKDPqaJSDnPhw+393V2+IPF5ZVVoiQRAMYYR6TpJj+QmTirg0RTtpbByZFLQJROP0kbgtNTt8ySwmMWDTrytis3V+dxzjNbxnAAGo/HX35p47JlSz1ej8kbnq6aDrIsHUCMq6pEmaJqoYnxrp7eodGJF59dPz420dXZu3XLKypCgcOuqprb41m+fHlVZWVtXfXK01b6Cv1MYLIkmX1pc02yObBlGgASoCa6vCkgZGqoJpzHtHNkIwsm2hqMRcL33/OHX/3m9637D64559xvfeMbLS3NkiSmXn3a9zbD3pxriPDd73zvl7ff/oNbb1U1LR5TioqCRUH/6jVn61nSOl1OloWSl2QgrzDo9Pe5rRfMJnaWDW7SYkBI6gpZ95q9L5Pd4TflhmRQ3k7twQgjQ8M7tu0gAl26fKmroEDXAMLsDPgMtzzXjtV7siDnlDFjNRHEWNfE/l++vOz7NemlltpGI70RrT8BnAPVE0yJxjmlhKLujqVs47TyoAAQbuvr/vn6yuvPty0I5MFKVJUxNpWCkO3TpapjNr604dFHHt66dUsgWOb2+goLbOdfdCETJbfHNbep2e/zyLJEmITICQW9b5mqKHrSME3RLGUARFPFxGAibADUNC4IAgISk6943J0JZ3maLrvMIOtOdws03ZcioizLa9aezRjTZZWkYv4ZTTCNPl7m8GTqD0SLIACARRJlf6HfX4iErFtzBiCoqhZLxHfuPzLS1xkaGek40vnEE49u2vTayOjI+Ni4z+cPBnzzW5qZIFx22YcKXO6y0rLi4mJJ1ls6gKZpoihqmgYIOiSHiEY7JjIlqLoqmuoHqseleLYez9MxknMeDo0/s/6Jv95379PPv/7Rqz763Vt+vPacNYLAiIm0lOS4A7ocapp29uq1d9zx64OHDjTNnetxeTlgLBGPxWJ2hw1xWhLOvM1b8rZSy/08N6pg1jLGvqtfVb+C2VAwFEFe4yXr4tldkE3K2tBllFJNUwVBnJyMfv3rX1uw9JQzV610Op2G6pnqNTtD97Osdra5RgrXOBAAhfC+yeThPmYR5CXlIArj23u3XP3rxd/+kKu5hIMilAeITSCUKKMJTKIYtBBATKpa/zgmNKG8ACwyEJpMJAUmkLCK4TjxWIlNAEpDL7f1/viZqu9dbl3oR4FAvldnHlvGyNPxznAkvGP7W+MT42+9tW9Xa9vw4JGd23dbrKLdbtUSCZ/LuWzxQnthsL66sqGyqGreUpvVZnPYGWNU9671jYsQRE6NgJSpqSHnqTWAiJqqCSIjaUap6RDi2QDsM7+U2ecd6GaL3kUr9xzzHRVFMTjEVFU1qDcyEjpykvV0f17lmm6uahoqSWUyHjvc0T3QP/j4Y08qanxv5+D+ra9QRmLRuMspe92e5vkthYWF1XOqly9dPnfeXKtFFkVZEIW0uWdOiEUjmJhIKrIk6ntyMqnonVUMEGQq+oV662tVFIVkNPTSCy995wc/2N3aVljo/fLXvvfxqy6XJSFrLel+maZpqqpm9bft6x2w2+2nnnoqZXDDDTc4bQV79+9tqGtce87qYFEAdE6/dLM283rJO9W5TQVnKBGajmU2lyYybz1O3la80wmA+Sd51YKqqoxRAKIoKiFE0PFQIw03bxvETCRVy3xV+YQbgUeTvb99vu1PL9l4gSjKnotqK248jyjw2pofB33u8VDE6XdRv7X8KxdYG4I9f9o0uvng3J9+lMST3Xc8t/vel/2uIqnEUvmZNY4z6ihjydcPt9765ORgBJzY8MFT7cvn9v78oeiuEfuCsvJvXCA1+EztBI+OtpqpkTFlMhEE0DQtGVeOdHYe6Tjc2z04PD720CNPAVf2tb4JSowz0ePxzmtpKSkuWrnytIIC17xaP5EKSysqVA3tDru+1RMgKULbTJWvaZooiAioqhohU83bZ6DbykCvkPT3D3o8botFntnf0dvFG9c3BwLMRm+WqtX1i9nMNm9uWZvHTC3pTD6JxlOhH9371TSNUZZIJGVZRsCkooiC2B9WCqi2ffvO7oHh1ta3VMm25/UNRw63D4yNRkaHRUEoLSutqa0rCRSuWbu20O8PBIrKyspcLjcSNA8pHk9IkpjqmMU5MWE0xMzCTwgAj8fiL73w3O0/+5/X3tzhLiy5+b+/+omrLrdYZbPTld4VuK5WTJZFarETIJrGVVW96ab/fPiRh7761a8BQiweramqaW5ubmpuyiAKTPchNCNKuZXBqqoa3Xly5TarKbreNDqrDjC3d9csI2tZ+RlmU0UfNiCIkggA8VhMkmWzxKYhdsMjJSkCDSRAQMi6aO4hCIIO/OhN9vI3DeE4+HRr2z2vNt54WWD13OT+kbYv35tYWkvnlTo81jEmNN91naCxA19/NPzMfrnCK/Vz6wghnA7/bdvw+ralt1xnrwuEH32r4xfPzWupxJjS84uXSlctclzUlGwf3vmN+5pL/M6zF6nRLWU3rhPKXMTgpJ/+mOrICyaLluixrpQgUYGJdja3qb6pqU7fza697loKfHR0cGh4eOuOnb2dRzZv3tLVPXjzF74kyXJxMDAyPDx/XlN5dXWhL1hR7F+zZqXd6bO7vJIoC4JgpnkilKqqygRGWcrBy2p4fNTofXFREKcBULIWttHAaYbCMERMJhUjnUc3PeLxuMViMTrLSZKU126dCQ0l2RY+wRQRCaMMOUqSqANRkiAQgJICkYC0atUKROAfvEBFJNp/RCcnD3Z0Dff1P/H351CSD+zdv/65F/78l7/Z7A5E9LhdVVWVLS3Ny5cvdzoKlixe4PJ4GWGoqUgJpognCeecUGqYS/qnnGs7tm75+c9/8eKLLxUWBu64866Vp68qKgoIzFQUk1amxtI1z7mqqogoSSJH0EGTZcuX3Xvvn/t7+/3BQDypxqPxwcGRhiYkNA9+PJUAkWM76OpD07QsWybLcNBXqAHzmQNDWWh3jrN29PZm+s/NZ+pJXpRSQRB0URsdnfAHCnXfULf70jAwySh4wPT+PbOdkmsL5TfAFOz75pO9rT2L7vkEdQk4oXR84l6yuDD4gRU7rvtV9ScvDX58ASG0764tgw9sar7v02O/3hTtHKz8nysO3Hy301Ho+uhiEFRJc+z58j3Bm8+N7Rs6eNcLq5/8Ki8XeVQ78vedzqZiWwI6v/5QzQ+vsCwJziZWN6XgydH5bE32PCJHQoimcd2c1jsud3V1x5OJI119W958s21v68jwUE9vb3dXd2hioqLYW1hUUlJS5iv0XXjhhXano9BbOKeqyu6QCbPo02uODs4SMMu1eozNM28gNrdBhKEdcr10/Z+JRJIxajagdHnKQKmPPs4psC21J6d/yTmfnIzJkqhvd1lmlKZplLEpmSSgqRpjjAOMj4dFBvv2H9y7q3vX/i39Az0H9u3p6e6emEhoathpt9TU1JYVBVoqSpectZaI0tyWFq/HY3M4mCCkWrsCRcTBvt7f3PnbW279UX1D0zlrz/3vr3yp0OfRU1L0ZUMpBQLIOQHKkTPGzJOW205P7yk32D+4/JQVZaVl13/msxaLHA6FbFbbhRdfaHfY8hK/55oG5sWcZbem21kQDXkykRAlMVU/DaAbNfqrydUF5hVqGC+zCV0b8pll5lOa6k2VSCQVRbXZLLp+1Om1U2180cTiYVghs0mby7v7kczq/WQy4SwuAAslAMQqqjUuHIwwixwOxyzFTr0tlLXUHp8MKUOTGudqKM4VbaJ3onPfgdALL1OHIDsdkd5BoX9UYtzit6ENCKOCg1Z9YCFlLLTxkOiysEJb+u6zCv5TMtuWjqnGX+nZCIdCzgInY4wSAhSq5lQi5/W1NeesPoMS0DQ+OjI6Ph7q6u7evn1Lf//AW7v3vPTwo/f/7SGLzSEQraq8vK62DETbggWL/L7Cde87z2q12qwSIYwxUY/tz5DdZIbijO3O3HzXxKg05X+Y34uBgBiLJB19pLqRR4BkGdLGRj0z9V/2mE1SkN6TOSLRUQ+r1cJYnp0zJceZjDOCwBCBAno9DoKwbOmiZUsXAbkIECORyfHxie6u0JatLx48eHB4bOy5p5/e9Oau6B/vV9SE2+f1OQtOX7WqwO254qKzrE5bYbDmrt/f/Yff/mZwdOSyy6/82c/+x+v1UJYGu4BlJnqQ2P/P3nfHx1VcbZ+ZuWX7alerLsuybFnuDRts000zOAnlpYXeWyAQEhIgnQQSAklIAkkIPQmE0FtCMbbBxsbGBVvuVbKt3ldbb5k53x93y9Vq5YINCe/76Q//bFna3XvvzJlznvOc50kkVIea6cVnbhEQi5+SiSgEAIKFwbFjxnV0tKqyoieSiBiLx+LxuMfrHgjlQF6QOMe8NRP0M4vQAvgpEofDwTknttuLiIZh2LgzODgDssywD6TVOJjOY/28aXLGaBoBJLIsGbqZKWgyAWgoMpd00IJDQwixsOGF8Q83GT1RWupH04x1dKpeP/U7CssrRSQKQIRAYepuh08IwgLMJGDEdVdBYcnlEyqvOhbcMmgYXr1LGhXqW73VE1BRCIJoJsyeZdvclSGzJxHp7kOTH9Sc5YH36u16xYSQVJ/V9or2zcYYLS4pChWFRtWOOOmk4zkiIcTUjYaGxrhmLF2ymCMs/uCDrpaWJUtXxxOJa6+/3uFQj5g6xefzj6kbM2v27MJQYWlxccWwKlVV7YBp/q4OAqGEc24BwykecbbfJMA2kjMUqGR1HCnNmCWiosh5jb4PZIgh7yfOnMCZH5QkNpjxOVhvOY1923i/dmolIR6P2+12VVSUzZo9FhF0kzNKov3RlWvWdLS1bty4ceXKTz5YulyYxlN/+ZMkMW8w1NnTa+jaWWede/VFZ3XtWCPXTgOGPp+PSSogUkK4EOnEAZ0uZxrHEgRyyC8ZakDqW4yxYcMqly5dsrepafiI4bFEklLcsGHDccFjU2ilbRzUnvfZ6SeY5u8ahqGoSiph4anef4o1Cmi9YCYSEUJkWc6bpHwG4sJQ/2s9NUKY1YGglDKJZvqA1p/7AAQPRD9l/+qVhIBUW9L92JLogh3SqXUYNrQdrSO+fazZEzc64n1Lt/tPqIt0hjufW+2bMso1KhB/H52lHjng8IwubV2+ofD8yY6iQPj9TWt/+Y+Jf7lWrQgmevSeJTsLzxgLXVrTE4v9J48vqChO9kdERwyH+4F9XrTuwZvKDlHb0tq0CQNJywciyrI0evQoQJgyYSxHvOmGa03TbO3oampuWb1mbWdbV3fHng3bG5f89dnHn3rKNFFVWGXlsFFVlePHj62pra2rGzu8urogGAAgkiRZ2rOEEEKpQCEMAQhEsu25lOoVSSvP5zK1B3cHKGO2UpekYLahsraBhf1Qvrl5OxF5iRj7AHqH6nQOJrlZRHBFoojo9jjnnHBs5sDfs7th8YdvX3f9t0sCJZOmziwMBl96+R9vv/P2e2//W5UlxeWrKPXPmHFUQahs3JjqkTXDhlVPdDoVRXVYI7FWLWbteYsbkeVn0gEcNkLg6KOPfumlF/rCPWwvCQYCiqJG+vtz51cGEfxyKlAhBBBQFMUGwhEm0RxKhP3m7HfZW9Cnoig54N1BBRfrCZoWPwMAAJxOx6CnMCQBZT/c/AOt/xFQE1t/uTD8Xr0z4BQJVI8ZWXPTMVpbZNNtzxX6gzomwm29nlBh3a8vkGp9nb+cb/ZFKn5xrrGrd8kNT5qYLC/1Ny/dU3PVaSO/dwJF2Hz/213v1OMIJ98TdY6umvnQRTyWWH/14w6/23n5kdWnT4UvatrTvlFtzDGSJjGkxgTsJPGMpgbaZxoQCMGYpuuasXd3097m3u3bPu3s6l286P3e3m7T5E179hY46IhRtVRWSoqKjzjqyJGjRlZWVFaPGFFQUKAqCmHUnq9mJCOtBD5/f8dml2VFE5NzWcpkznBQ6qQHCAMN1TTN4Wt9tpld68S2Na0QEE2Tv//eO9+5/dbm1r4jZs285yc/mjVzphUuw+H+HdsbGnY3NO5u/XDh/E2bNwBAe3sbClFUVFhaWFBTO2bC2BFHHX0cCDZ6zPiKyjIAwjlP1YgIlFJi5QjZz4D16+pPm3vanBPnzDnxhHBfv0ykkaNHnXr6qYqqwECnkbx9nMFIQpqQRQQKq4ed44KeyQ72bTM6OBLtlzyZt2ec0wQcnGkOSXRIWUAcFkY4IA+bemuCtxpCMj1TCqmHCUPEG/slImnN/UZc844pVqrdABD+1cK+ba3DH70YJNBbE8nmfmNjh1wV8BxZRj0SAPJeo3dLu7aj110a8kwOSkUqcIjUt4n2mDq51FHmJpR8YTFlUG91n+YViJnEHUEQmx1floOLqXSac6FrejKZjCW1ndt3fbpmVUNDY0tLc8POxqaWRkPnlJCCgmBh0DNl8pTx48cQhGOOOb68osRXUCCrTsooQSSUDejqkqyXY05xYhrmo39+9N9vv/XEEw8XlwwnhH1mbvvhjdcHudayloZ6Ir56xeJ77//D8k9WTzli+h3fumPm8Uf5XS4yUNsl1dEH2tXToyUT7e2dW7Zs2bp1U3d3zwcffNje3opIDSNZUlwcCBTMOXFOIBgcP35sQUHB9CljieRyuDwW+8CyKwACkWhs2tRpupa49+f3RaMxr8OHlM/7yrxgKJjja7QPsevBjblMnTuUy8eBTAxnXnkoBQYyRBcyJ4plCpTBmMvgo8g22HG4YkrmdQfZHSPahk0QwMDoxr2tD8wnxaGRD34NGGSsKQXnjLIUGw/TEQ+ADuIj//f4Xdv81engmAL5LD4JkFywJF2xI2YmvCEai+zYvnPDxo3hcHzhB4s1LRLp7Wvd3dUb75WZXljgL6saPqVuVNWw6uqxY6sqS8rKq71+v9PlJNkHYR8btkoM8cMf/uS3v3lg+rQJf/7TH8dNPIKmi+T/VEw5qGEF+11PxuMLFy782zNPL5y/qHzEqEsvv/yWm2+UJTpAj5bsy64sNT6CqOv6p/WbWpv3dnV1Lv94eUPDrkRC27Z1o6bro6rLTcEmTZ5WNax82qSJJRUVY+qqnM6Q2+u9+eZvvvHma/f85GeaZhYUBLmpzThyxthxYwbaiR1EQndYtJ32XVjkbRXlcFn3PQ99ILOahy2mDLU+DN1gUpohjgAJXPWd55QmUvuD0xzTg4RmsHcrGWYprS1C892O9ErBvGoVn+/St11dNk+xGXeTIfK3nAF4S0YMEAUhBHKINpnlnoVgCQKYnHPTRIG7G9q6I31bNq2vX7e2sXHPpo1bw72dHHWJUa8/UBIMTpwwNhQKja+tmXnsiVRRQiUlqqJQ64MzZtH8fvqTnz700EOV5aX33vfLs885m1L6X2MJD3m1nHKWqB6PNeza+b27vv/RsuVFxaV333331878it/nHWw0M5S1k934MaNfZe/Bx6LxxsaG1o7O9es37Ni2bf36zQ27NmlJjUqyz+N0ON0zZkxraNzT2Nh46SWXTZkyjVHa19vn9XnOOvtMKaW/sT/ZzdR+2Y+z2kF5dwymqNhvxFDJTl6wLG9syjslkIf1exjzlAMriAE4AAJIh8/97v/OV/qEBQBucgTS1dXV09u7bu2GbTt3rlmxNBLp1zSjvb0zFoslEuFAIFBXO3pCTfW42jFTjp5lCnNU3XiPig8/+sR9v3xQovTXv37woosvJpQNNPZBa+TqUGylPnMkwSG7XwCI9WvX/O5XD7zyr3fLhw3/znfvvvyS8xGsaQPymZ1rhvo4KFDTdNWhWAhLQ8Pu1raOtevWtjY3vfrqyx0d7YqiXHP11bUja1EIyiRFdVxw4XmEksH8qbwM/cN77A2VOyByYvXOyb4ygIPKm/Z956QvelfQPFS1/4WqSJ/Tl23nWw2/stLi0pKicWNGAwDAdwXn8XgiGk/u3du6aMHbjbt3t7W2/fXV14V41S0riUSssKS8rsKnekNFhYVdPd03fuOmzs7O6667TnU4GaMpocgBA76YTxUyXyv5kLKdrOiKLYWApJZ0qCoCmKa5a8uWPz366LPPPVs2bPh1N912/fVXjhhRRYEAYYdVmwKzZy0Bh1O1EmfG6MiR1dXDK3c3bN+9KwEAlDJKaVJLJnXd43Johul3OuLJhMvlIgNPy892bB/URe2r609YIpFQFIUxNkDbbmgs5jO4o/5H85T9Vxb//+uzrTbMQPjZOIAAALqh9/X1tbV1bdhYv379xpWfrKyv/1RiTAgRTya4YdTV1Y0YUTN+7Ogjph9ZUlpSUlxUOayaMUao7bXIwDHV1N9IPneyz7qP7b0sS+ELQJh6tC987y9++erLr0QSOG/eGd//wR3VI2oohcF8ngMf6t//Z4E0XQCIEHzDhg0v/vPF1atXL1u+fNLkI485+uivX3ju1ddcRQlecsllTqdLkZxOt3LCiceFiorIIUeKAzll87bYcrdShiFOBiDWQ2n97wNOPvAb+J+PKV/wbvxPyQ5/bjElsx8HCFulrjU94ZnlrQhsbmr8458effQvjwmOAqFu7Pipkyd99NHSrs4WSlk0FgsGg063W6Lkq/PmFQQKps84cmxdbTAUIoQpikIpAtKM3jnYdvKAtTQIUdgn1G3LUDJ2sMCT8eSf7//58y+/uWVvy0UXX/zd795RUlzicjkyB6K9I364nPrsisuJRPyjJUt++9Dv1tWvI8x5znkXjhox/IrLLvK4Xdzkl15+xYeLFtx7732hYKivt1dxqHPmnFBSWjpwgvGAtuVQpJ5DijsI3Z2du7ZtnT57NmQATcj2uQ9diTmPbj5+8bXPf93x/iUsgAZcBclbGQHkDmULIVat/OS5Z5/7+3PPJjWzpLjklFNOvfqaq6ZOncIYMQ0ejcY55/PfX5Q0zHX1G3bv2Dh/wSLd4D++515h4hWXXrxx46bqmqrq4ZUzjpwZKAjU1dX5/AUulwvTDT7OBQFgEkst24Et1X3kEZmuKyFEoCAEw709C9998xcP/L6hsfWqq6778YknnH7GHMigmmi/9kMNKDkYJyGYiCXr169f/vGyp554YtfuvXXjJ37r9juuuOKKYNBP09ItksSGlZdHYzHTMHrDvYSReNyMRBMhwe28+7zzdHk3cM5oxUEug/yVckEwKDvciGlyoyWVM4QW9z7GlPb9Xjls9f9Decrh9hXEfI5f/0n4Nlegc6A074rlK+d9Za6um6Wl5ZdcevkVV1w2rLIsmxSnchrkHAmlSU1TJBZPJPsjyU3bNjftaV2/dm1vT3hd/eq21uZEPKZIdHjVsL5oZPzoMZUjqodXVY0dU3fUzFmqqrpcbsoooSQjTo6AQ9Xq9jUthDB0gwIu/mDRAw/cX79hW0Fh8P4HHpx76imKLGXk9Q48/TnYJAVQdHd1vPzKqx8s+vC9BYuQsMnjJ9x5510TjppeVuAjA+XOhBAvvPDyzTff9Jv7fy3JrDfcRwidPGXyrNmzrO6eRTMxDJMxlmbW7wciPewIgF33L68G3YF8gIPdONJ/3V79go73Q1t8ALwnFtna6R5VpBR7Dh2mPAz3kOznqqdOm3LeBZdWDau85ZabXU6VUJLProRYo8IuhwoAPq/H5/WUlx8LAOTS8wHBFCIaiTQ0NDTu3r17V9PqDZs72tuWfbzqyaeeMXXN43EDwOzZRxcECirKy2cddWRhcfG4MeM8HresqNk5Hsyyi1PKhABccCHE/Hff+ePDD3+45KPKqpGPPvbUSScf73I7crHbXPTjIFXi7Q8plU2ZpmEuX/rRY088veqTlZLqppJ87fU3XHHV1aOqKhlj1jaM9Ed9Xi+QdKpPaSBYYBhGR0dnSVmJoioO1SXLMiGEGnTPk+87+5PocIR39MlBf+C4Uc4JRVLISSixuLmDsZvPrNFrDQpnNLTyPX20tUgOOhDn0Gf3A1oh/N/CUw49F0AQAAAa2Xvr0+0fb6+950L/mZOyDDebI+9/G1CNAEJgJvE9LAd70jAZpVoi0dTU3NLa3hFOLFu0MB7r++CD9w3DiPT3O11uSVYCfs8xs4+XJDphzMjKEaNmzpqpKKrqcBBiSWsRbuirli/++3P/fOHlNyZNnX7ddVefdOKJfp9fkhim5FgGpoSYG1VsAMtAjBWQEGpzOEozVdO5Rl9n28dL3/vtH59avaq+vLJi3ryzL7jgf6qGVxUGgxZJKEea3465rF9ff8rJp1515dWj60ZrmuZwOPx+/9fO/CpNsPVXPkI39xkuP6EYKCnu6WzGIKn7xf84x1dSepg5FJ/B7H2/idJQE6T2WYH88h2HiKccJqT9S4RkAAogQGKf7u5fH/H4SjvfWVdwyjhwS5YpCLFFloPNoXRdt4lRfx6fHSg5UE/v/X5ai7PnkCUAUDzusWNGjxlbhwAXnnUaEDBNsz8c2b179+6WrrWrP12zatn6Tduam/Y893x3JBYHbhQXF0+ZOs3v98yYMd3rKVj47tuvvPWvujFjf/3rh86/4FxFlgDAUoQcJDGbURxHO4ZE8iZr6QFPyBGyQuzp7mjctfOZJ59+e/6S9q7Ws84+56KLrjn3vHO8ll5BqsLKCDFk2+r2CTq/r8Dhcm7bvm3ipMlulzseTSBHzgVFwoHAjMrJv74E3ASTGFy8a++vX+h+b3vFuIrDvl0OhIf2GbL4wbBxTvU6+E/rEUiHEhEOG8XoIEHmz+nXc0LkkFC8AeEl29CnDrvsxMa/vGY29Um1IRvv9zM2lay0+XO9AySlZk0OxzqmWbPb9KwkSWsFSJJUWBgoLAxMnQZnzTuZc24YZjQaicZimzdtWbXqk3B/JNof/fdbr/37nfd1TQfhYJKq68bjTzy2vv7TmuHDy0pKZhwz2+P2OBwORillLGtQlAklmDLkxoHIkR2ztqvqE0BDj69ZsWL1hs2P//nR1pYWZI6f3vvgUTMmTpo4LiMmkPUoHMjQyakVKRCP16vKak9XN0GhJXSDm9FYFBEJFUBFYGQZcVNQgEjEObOyt5e7t0VRpE2oyf6f7z6EnfLyR4YytMhrzD5YfXYo2HhwEbTvakjKqLwclALzF4OeDhYoOhQqzgG29PLK2dn/aXTE+5bsqrjoaHVGOXnW2/bGyopvnkYUMtCU8TDDPXmH5Q/+ix7Oh5Y90LN7IAUKoE2cmgBjlDFFkQPBQGB41bC5p528aMGCl//5stPldge8N990Y0VJ1eZd27Y3NG7buHHFuh2vv7moZe82g+sSY9OOOKKmvPTIo46SPd4xdaOrhlWGQkVOj5cgSWs85FZDuSgTInLs6mj/4P23nn767ytWf1o2rGbcuMl/+suT48aP8/o8MOh4HxhCiP3uZb1pCPh8Pq/PlzR0j9ebSOgen6WnJ8CkHa3dvqKw1tjNnHL/tpbEuh1SMklqSxilmXG2wcTWfaz/vMJdeYuXfa/qoei8g/8p0voymciwDzaw/Z+SpfLyH6wnMtPr+6WNDEE9PojIso+3GKAnOPTjBARt+Y5ka7d7ZqVc4S457Yj2Nz8MfW2GozYI5HA2gSxBY7uG46FEkwO5vQcNzwwgwuVb2Wl/ypQcBKOaprW3tL7++ms/uedn5WXDr77u5ksvvbCkuIgSeiY5jQPqSR0BWprb29paOzo769euWrRwydJVa9+aPz+pm6oq+zxet9tTUlY6fdoRAb/31JNO9vh9xWXlLpdTlghQyTSEpRRjPTRDSzbu3PrYY8+8+cabLR3ts2cf84tf/ebss88uKPBLMoOs2nuONem+sd9UHqNpSSu7bO9oT8aS5WUVmh43dQNRVhlreeOT/jXbe+MaiSYSOo677NTKq6YCzbhK24LyEEs6r7LBYF0bu/LTvj0291HmDB7FsGssDH7rffV9ctxAvvivfYhW7dssPd8eQ/swWP5QOrQ2tt3RJgvC5zy/iLn31VVunYXfreeQINt6lT6j5+11ZaNOwrTtDIHDUlzkBhHLs2qgdhEeYBQ7LAFlwC3N98DsOzMdxRCAoEDTNGLx6BOPPf7Qbx8yUL7i6uvv/O63i4oK0xREtATIJVUBArWjqmpHVgHAOWfOu/suXVHkzs6upubm7Vu3b9vesGrVx7FY4s233t67t/G+Xz2oSkAJO2rSpFHVxRNmHhcKlY0dW+XxFEZ7Ozbv2PvI73738ZpPCwKhk0465Zprrzl69sy0WU12cJkMJgxCxsEFwf5AMZvCIKBDdRQVhRobG0OhUC8Jh/vDhpGM9EfcTlWYhmvWmOFnnVAU75eLvf7RRY4RfpBTU6KZqT4YeOznaIbum89mia1Yf7cbCeZVvcroIg9VZKXsrgctm33Imw+1baVD5CAeFoD2QHCEvK5L+VgZBAdtuaz+eCoHAbt625Dn/6CQhACJra3xdU2FU+ra3tvc0d1WNqqGo0efv6n40qNZQD28wFtaoDS1pCmldhWlA48pORLZn+E5oq3CIPv6RcwwnhLxpMOpWu/Y09358B8eefXVV5pbwpddecU55543fcZk1Ya/ZqFXmpk3snIB7nAoiFBcXFRUXDRt6hTLQUnTjEgk0rS3qbevd+nSjzo7ulesWLn09ff5q/NdCnEqhCleHu3vN7ggUm3dmMcee7woECgKBRKxiOp0YUaVNxVRsrocKJBQ65bTzPUB2A20sg5rlLGiUGjXzp0SpS630tLS7nK5JFkmlMqqq2BiafCcmgKGhBJCiK4bCpEH5HeYtS4fhE7mipvkjTKUQsYnxDRMIDlHTvbp2K1L8z5oRZEz3pVDj3rBoHMujyStNNhnaN8l2eASbr/KkgeV5Oe9hqH+d9Cb2kVMUq3TTNqfGeq3O3UYhiHLkrVdByF8g95IE/3LG6SqooofzZVL/IQRZNj7+tZN97+gbetwHlVJgOxDNv1AC4pBBUvaLAYsNf+BkgsHFJ72K8qbU2zvWxwwk9jaDYAIIRmTZkSUZYkgdOzdu3zlyu/e+b22jp7TTz/95/ddMe+rJ5NB8mWWHr3NQzZbh2bWsLXhrIXgcEgORzAUCgohjjnmaABghDU17f7dHx5+4403WlpaSksLR0ycJsvKqlWfbNu6bdasWQG/b+qkSX63s6qmevrMY0aNqCr2y6UjxlFJIZYCO0EAkkxqqkMRKCiljBJAYj9RLNI9BZIRyQkECqOxaENjQygUCgYDiLi3qSk0Muh0qkZ7vzAEVZmFE8tK1sTHLnk70FzJEsGgObN+eTE+ayFbqjuUEcuDfb8orN17KHPW2il5Nkm6PF2LnBfPI/tk5SkHuC4zH+UQZ6Jz2t2DzZDyQM2QdVi0y8RzLjIqyikLuLS2kRCp5ZDjeJJjAccYy/AXMgKcVlZpz+STySRBarZHOxdsCMyqkWv8wFKpsevoMllmiY93OmdUEpZ2Pt1vZBlEj7N9QwDYzHetczMNDmZfOevTl9Jzsd3YTOOCHMA7Z8/nvG0COx2LDF2Q2w4JQSlJxBOb1qz+xjduamjrqKoe+fxLTx0zc5okSSiEYZqKLGdq1+wciu2OZ60qbKJcKETGWcUwTNPkgMgYXbX849dee+2vzz2f1LSxYyc+/Ic/jRhRXVtbY3Le2tqSTCaXLV3RF+5r2tv04QcLFi5b9vjTzzkcKgMMhIqKQoWhYGDipEkzpk+srRvncnnVpEtRZafTZeocCLEciBVVsVA/Yqn3IEI6xLvd7taW1gJvUGWqAJGIJ4RmJqiWoFHDNDBhMIlKkgwIXAhKCKEEBXLOmcRyyhNGqZ3anhlPsyhtCCgE0oGeYdlAjyLHY2yok2OAuniOBTBkRqisbIUYhpnyLLGtB4uMM9QKPwhCRF7H+UMcycts7H3HJpsdMsEs9E7S55i1e6j91himSSmRGCVIEdAwTEqJJEmEoBBAKeVcCMGzlBDLtjmdc1kLCEAQQgHB4XAgYqQ/JspCodOnIUWazo3lEq//2JG7G5sDcS48jMAQ8mL5sNKUNSoiAOiGIcsDRGVS2uuY2nOGbhBKbQ8ho9yU9/6jEANU2nNW4UCPZCQ0y6O3S35lFQZtifBATkhuPiwxtm3r5u98546FCxdPmTr9yQd+P++0OUyiINA0TUqIZRgqhDAFlyizf2IriFiLISXxj0IgWuHe8t+hhFqam52dHU8+8fi6tesWLFo0YkTNxRdfdtnll46fMJ6xlLCowmhVVRUhMHLkSEIoIFrqVk1Nzdt2NGzYsiMW7lv60cLmto73F/0hqem6phcX+sqHVYcCBXPmnFRYGKwcXl1dUVk2bJiiMEDgnBMgApAxhmmTgPb29srK4SYKyeQJPekv8JluGHvX112VBYpftd2ilMMzCrRouFaigJgCMkzDRMaADLAZy1gRCCEAiJZIqg5lKLg0I8lu74sfIOAghCDEit6oaYYiy4QRAKSU2CybUkedJQCen2v32eZ9DkQ/7gALqH2o7OYm24QAikQ8JriwLpJzQRm1rC0RQZEskyPZWuwm55LEKKWmyS3jmNSELiXp7BoFigExxV7+ECIEZ4xasmzcNJlEBUdCGGUUIKXShgIFCkQCQjCZZSCePDqdA7P9nIvlJkdAxijJZiUoEK1/IoiM0CEZRLfODNEOzk5Tp30mENv+Yk9U7HliOkcjOdPG1s9kYOwc54+UpZ7JP12z6sEHf/Ph4sW+YNGll1510/XXBAu9Nvt0kiGWDJ49S+mHMmarptE0OM14IQOYptnf3dHYuOvW79y9e+/eaKR/zpyTjz569iUXXxIKFWbSO9NIvXLGkzAThVO3EYGnzDLQ5GZHR3tXd++yFWv6ezo2bd0RjcU/XPCOoiqmYQScLk/A5/N7Zs0+xuvyjKkqm3LMnMKAT1Fkp8f/4x//5OGHf3/LDbeOqK3u6e73F/jPmDfX63LJqiorMmV0sE61veRJFf4pB0MQQgAClWgKRE4tUWa3Chos42aFGwv8taJPjvlh3l2W+eZge1Mr/wJMy2Xbj95Bp0iePOXzgFQP/Nf3reid+V/LLS0eix57zHFtzS1Ol1OS5HC0X5Ikl8PR3tVp6Ly6qtLjVAWVrPywPxL1eNxer9cwTUVR4om4xGQhhKIqgCAxxggVBIVAWZYEColJ1mpWFEWWJEKppmmUUpfLzTknBE3TJJQyKimKnLWwByKEYJJkcl5cXKRreiQSURTF4XAkk0nDMAQiYxKgEEIggKqqyWTS7Xbruk4IEZzLjBFAj9fX3dunyJLL5VQlhVAaT0Ql4BXDqiKxZEVluZbU0UxGIvFAoKi3v4dRUlZSnDSQm8LpdCa1JJOkcLjP7XJ5vD7rdskyI4RyblJKLecnp9NJGTMNU1UUJjFdNxAFABHcVCRqIFFkBUDIsmpyk5vc4XRkjM3RNLngTFEzY8aEULuxvGkYL73w/AsvvoyEHH/8CZdcdnmgoGDjhtWMSiY3nE6naZiGaTImmdyglJmmASgAmBaPON1eSZY1XQsG/JIkRSJxRZaYJMkylQjEkiYAcTtduxt2/Pu9+Yvmv9vS1mYIcv75F54x9/QZM44wOQeCXZ2dnHMmSZIkGbphbUXGqBVfKGOmaQABSZINw0AhJIkKIZgkoyGCvoJQQWD0qJGqQ43FDUQOgicTiaXLlja3NO/cuVPXjfoNm3Zu2xbr6jRlNVjgQxSzjjl2w8ZNoaJQUWlJMql53C7BeSIRLwx4heCEyDlYvxXfheCEUm5yIMAo4UIgQZLqfxMgYBomo8wwDEChKDIBQigIgYZuyIqMKChNe6qkwBdi6IaiKoamM0lijKIQdnEDzrmVfFsfQNM1VUmZcAsurGPGNFKFPwJIEiNANE2TFRkRs/r7mZGtlIxruoc2UOyV7KNrvZ8WgM0J6cDVpwfDPINZeoPhD8MwZFnu6I68+PqC1qaW3r4+WSEScr/PlYwndE5UX8ijYvOuBt1MSJIDqQRcS+o6BUmWmcPhjEQ6kgnJ73M5HGokFu7t7fe4PVQyuYnJRNzhVBljAphhclNLcIEOVZIY6+kLM8klS0JLxgCowakiS7KiCCQff/S+x+Oqrq51qKqgal807JKZJDFFdhJKY9FIOJqUGHG4gtFElPAk1zWO1OsvNEy9tbW5KOgXwgyHI4QnGWORmME5kSXNNInD4QkUBMKRLlnxxWMJh6xV11RvXL9JCEooGlyWKEGhSbLgpoJgGiYjIDNJBozpRkxRZMtSFwAYAy2pmxwdqkIpMUzOOVdkyTCMNO6CsixTyrhpGpwLgU6HqmmabuhOhxsIReSAYBg6ACqKanBUJGIYhkBCAZnEIpF+t9udSGhutxuQA5WE4IKjw6EIJIKblICJghtccECCqqoIbgCh3OSUAJMkWZLiiThlkqqogAIBuImmqUsydbvd3DASmq5IskN1dvd2qw6VMQmR6HpSURwO1SlJYJimqqqGbiAAZUyWJAA0DVOSJV03GKGWeTMQpJQxiZkGF4IrMhOIusEZpYosEQCdm5QQSiUkBLkpS5KsyEhAcCFJkmGaPd3dhmFIjCGAYRqGbjBKCwKB66+9qXZ0TbQ/ZprGu/Pf3bx5IwAxOWdMkWVJCC4EZ5KMAoVASWJcmIIj50JihDIGSGRGvB5PdziMQvi9HtM0VYdrfHX1mk/XoMsRicScDmdS07xuh0AoDBX19oUDPp8LOFWdmqb39IeLQoVuh9rbFwmF/EnN6O9PFPi8Xn/A4EY0EZVlVugPcIPH47GopjldDiaIwc22zo6qqmHC5F6/n1FqGLoQQChBAWiYqlNVFEUzdE0zvB4vpYAEuGnKioJCSEzhwvR7PFdff1VZ+bBszX7gMWWoKaODEvW2lrvdHTZvSmavFywTbMsRGjMjGCkgHsGmqWHXstJ1fSDbnei6oSqyDRtPDa2kXP5MjpRyIRSJCgGUQCKhUcpkVaIAggvKqJlBQxBv+ca3tmzd+Morr7ndTkIJEGLqJmOMMtAMrsqMC7BcwRGQIFBKOBecCwQUCE5Fsq49mUgqimLVdpSCEFY6ioQAUGrousfl4EJwU8QSSUapw6kiB9M0VFW2cL5kUjd1nkpMKAgh+uMJAuDxeinyeDxpGqbb46KUtXV0yLLidTkIIbF4XJakeCLh9/uR0ITBu9tb/cEyhZqmYTS3toLi9bi9XrfU39tjGiZVZJfH2xmOqzxpCBGPQdBHOzqa7777rvb2dkX133DD9ccef1w4lnSozOsLSKYe182GPR1en9PhVJxU6uqOyA6IxZJuhZiyGu2JyrJwO5xCkGQyqnETOGdITQTTRBSmaUaXfPjhO++9h0gJwdq6iWd+9XSvx+/xuA1BCejASSwuOVyGQ5UNPakbRld3j8cblCVhGjoBhoCqUzWTZiweczidsswQAQns2dNKiVleVsIFj8dN00ioqkIpiUajhm4wye1wO4WejCc0RE0IIQCdilPTtebmvZFo/0dLlsqynEgkakeNdrqcTU177/jOnT6vK5k0QqHQxs2b6us3ARUV5WX9Ya28rGjb9q0ulydYUgamGe7p6+ztDRQ4HYqrJ6wR0AwzWRiqIMh7u7u50Dwen6ywaCSmJQU35WDAQSWzublVVoIOF2OQNLlh6CA45SJJgRhm0jB0WVUZo6auawZVHYowDYfkMbgWS8TcHkdpaWlTcwtyQSlxuRyW5gsAk2Ungq7rOpEUridV1aEokmkYfeF+IUSBvwAIxBJaJNzj9RS6XHJSS8RjiUCojBu6xDCpa6ZhOFXPd++849xzz8qA/1LO3j5wQspna/3Ispzu4MqZMW07kTfjKjIYtSEI2b8iIgqaMZy0vLtIqqwEAEVWMkYwhBAuRCIelyUvUIJoOfiBaXJVlTMxhlHCrDEWEJyj06nmEPMgzTVEILJMdF1HNBmzoGJkKrPCo1OhAEgZgCTZuRcSk9K6q6naAREVn8f6+EKYlLJMdBUCKaHoVACAIRKVOJwKIRmjaBVSnr7gdDow/bLWS/kKfBlBAZ/Pm2n7+Qu8GWg1hHbOBQCQ4WWhDB1mxIhh2d5uVanJucQYEDIWABFj0Zhh6L/8xX1//dvfGXOcd+7Xb73tlpoRI3JoDQhwzKx0CwlTuTLnXJIYpJNnAmC1nFKMIQDDMLds2fTAAw98snJlV1ffyFFjZs487uKvnzN+4nivx5nToRhwAenpZbAsFgSmW9QpdNRmzQwoLOOX1D1LfSqgfb1hr99LKQGBhmFKMmtq3NPS1vL73/9hd2Pj7r17dYPPnnVc7eiaSy6+eER1zSOPPPLUM08KbgBhsgJt7W0XnHfuHXdUy7KEABJj1rtTQi1Tel3TJVkGRMpS3yFpcMs0ra6QNaYkuClMLiTGFFVKJHRCiVXUEAKmiZQCZZQAJJO6ZTyamURlkmQapixJhBDd0BljsqKYnKMpGKPcNCVZ5sK07hllVDcMEynhuqI4CAEheCKepIw6nQ4gJKGZupZQJMmhqpybhmH2xdDnUd0OKWloBFGistPtsFNZpAMvfIYaQT5Yx2U7bmy5w+cUQTmTR6mWalrKHEFYu9GCCQbQBwayOdNcMes1qb/Al05uUno5ikIzrUzKmDVhl+Y4w2DsPVPrWRCPz+v1uN1WeyJ1YdmlnqmhyQC5+/Q+JTTlcYcDmhqY8dlNGUfZiAw5hGPMHWtJ/zC1q95T+yXYfzN1k+yuyzzNOsu+RRqdTZ8eBEDXtPvvu/dvzz2X1Iy5Xzn3jttvqx05XJaZEKmgkBrrS3ewMsosAiz+OLGB4oQQIIwgConRWDSyZMniJ594+v1Fiyl1f+WsM6cfMeXqKy6UZUVi1GpIpW9CCpGmhEBm5oeAXXNogCEpAuemdXSl/Y+oVdRYq0iSZAsXDwR8AjEei27fumnx4mUrVnyycOGCcH+0pKLmlJNPOu+Ci4499tgJE8Yzy0hIoKkb4XDY4/NyQ1cU1RMoFDp3qEqqTZk98AARGaVOp8Mu20AJ4SaXFMUSjhPZhj2VZFDTsLrLrQghTJMrqkwIUVWCgJxzAPD5PVa8tMh5siwhoipLCMAYU5wKIFBCFFlKrzwVAAFSDDfrfSljBDLxGjwed4Y35HQggMtGboBAMLUdXOAYsBTJZ8JoDy9//yDcCdDexkyzS21OXLnk6X2y3TPdkMGkjbQzqdUOATAEUkJkAgItH7pM/EIhLAQr3VghecdfbNENAQQChXRzOEMxsso6IMQeS8kA8cWU5F+u+yKxq/oMIABTq0eb/u/9xH3M/AwOsC2yPh6zGijCNI0PFyx4/LHH3/j3u1ded+O1114ztm6UkuYHSVZSlupvEzJAIQCAWMQKksMQFZyj4Fs3b37t5TdefPXFht17Sstqbrv126edfvqUqeNlmZEUWQDTQZsQQjCjp0JyZv9IvhkaJBmCKdo4ymm7+FSHl4vW1taO1uannnr6nQUfdHe2A5Cjjpp94023nfHVeeXlZcXFIYmm+lbC6nxLFCkUFoZMkyfiUZ8nSIiQHKplusrDBhoipRNOKFEZqBQYsYJR+pNSqgmu69QtZ3QYMmvVNEzKrF4uIYQqCjM0nTJGBeFJQ/IoSCx6oEAElh5xysClGbs+S9SaciJ0DipNH1epXiillpuldWRkErvUk8xuExMQBUo5aQQO4Bh85r7Pf+DLBp0Tkm7l2vSQM0c15qXBZm0/LXZg7g8QG1BjeZbxpnDLa2uSG5sDtRXS9Cqts7tk7lTikTPyxYgQi8bjsYQ/jdGQPDEOB4y3pkhd1vg9ye3q55moJTBQZGjwhUGe68V03KN5GdYDt6P97th/2GaUCyiEWLN65X0///mKlWumTpv212efP/Nrp0uMprw+U+vQ+hsOYK/kaJ1k0zWCILrbO95/87WFC99/a/EKvzdQWlryu2/fddrcU0uLQzaCXTZc2pYyIQPubf6nbq/Xc1rXVtar63o4HO7qaFn76epXXn1z0Qcf9vRGRo+unXX8nCOnTJ44fuKsWTNkWbJ6tGk+UWqdWVs9Fovohm4Y3KF6PB43paCoMhLApNhw3ZP9i3e5fQ5FVglQHOet/Pos/9zJ1CVbj4BzzoC1P7gIZSy/+9RMUpoFChQ5c+8EF6aum7rBZKl/0aaWl5ZPfug68DEAwjlKjAEgAk3fMCRAdUNXVNU0DEmWCJKWdzaGF9SP+vn5kpsRJOlFQjJE3qyDI7GGJCgg9kciHo+bIm36+0exnr662+YJImx24FkkkxxKL/k/9WUrkQaKPJPB+RcMNV5I8qv3ULBNf/DuaOu9b7WtbaVBv4v2am5n03OLRFN/2Y0ngpoiU+qGYRiG4lD3CSfRob5JAA8o+xvwacl+d4/tTfPMBOEgpTT7vAmkyPWY7hsiQdA1bfmyj77/o59s3rqtorzqiaf/dvJJJ6Sjid09NOPNmO99EYjNmNwwtK1bNj/5+JPLly7duK1h/MQjb/7G7ZdfcWlh0KeqikXTIBnkzC6tBAd0A9J5e+aMTVuKUGIhWdw0Gxt39vV1PfXk39+dPz8WiZaUllfXjr32+lsuvPDCioqSgmCQ0WyqNWgoNH18CBRcuF0ep8PpUOVoPKInEiAECgEMHK4Caeq4YefPNjSNxHjL+yu2/+CFSRXF6pFVVn+AEgpA2KRyJqsWDSpTcdr1yQkCoqCUMIkBQYJELitWJo4iEkUAIYSSokqKLOUEkVJQFAW5sJAdFCjv6HJHVSYxbpqSJGcSc8CBJ6JtvAkBvF6PdaXhloi3JIBZUd6Bz8Emzyx9uQLKYFGp/W+xIfKAHFZdtnBB0Hd2G7HktKeu763f3bV6++hLpwdKCtpfWWn2JaQStwX3SBJzOh0SGzToRGB/AeILlsameT8FZidrTEolQkginnQ6Hda9MgydErHg/YX/fPbvb7z9Xklp9cOPPPrVeXNdLkcWriL266A5F5TNfVKas4BCdHV1vffuu0888cSq1avKSkecec7XfvarubNmzXY5JSCYfaoDKjViHwQltrlgW/qW0XMDmxQ2pieHBKNUCBEJd6/9tH7xokXLV65Z8ckKTUsOrxl7xKy5V116zogRNcNrhsuMDlDpJXmrdYu7lirkSouLGCEel9PhVCVNlmU5GCqklCIgChNo0vf10ahwQOKdN2LzJX/ur9/trwmGP2nwBr29H231HjPGPa7YSOjcNI3OiN4SJf2JyObmgonV0uhCucSLQmDcTH7aoO3pcgwrJjV+pbTQUeYbfsZUgxukn4ueiJEQ+sZeKCTuSZU05AFCmW4mt+zVtjXLJV55eEiqCAEQoy/MeT9JEVVS1HuhG1pDb6IjKjHqKvXLFX5UGUaNRGe/u6oQGEDU7N3R4h5eNObGk/TuMAACp2ZHNLq1h7iJf0IFOgilqcPYylH/D3lx7B+vSa+h/u1tBjFFAWXt4YDfRR1MGeZPcG6anKVDGyEsM9n8pTM8S+WuAh955JGGHZt/8vP73B6vI9XnEkKInq6uV1/8xw/vuX/S1KNu/c5d119zRSgUpNkDO6fASxc2qcRFINqHa0W4P7qncdcLzz//wsuvh8PRymFVf370yRNPOL6svCR9IIrBDtl54LB0dBrgHIrZ8cPMCLGFDSCKZDLW1tK0fv269+YvfufddyLRKCXsuBNOvfe+B48/fnZJWbnH65NZanrvwG3/KAFEiMSi8xcuLCoKSYpMqWToUZ/bnSqvhEBilNZWAwEiGJjIJJTdhDCZdyQ3ff95NyP97VjWYfoLlHBrh++BC1r/trzpmSXE71SEq4OudE8OjXzocgSz9fGFO55aTAw1VBrktdLou8/v/GDL9mcWnPiP7zU/81Hyw/r+MCmpnbpl+YKRZ0wafs9ZBqD+2vpdf1nQ3xsHw+EvZlV3fsV/ylhnQWHXhw3CEMRhEegBEIwVrZ/e+bdk0igI+EUkMfzG04ounLbjmQ/b/7l85l9ulip9jb96q21zw4xHbmp+9G2jP15z7/l9r67e+9j7ZpQmo70Oj3v8c99QawJZA/Evkb+PruvWnMjnjNcAIjqHFbd3JMnaVsJB292Nu3s7Xl5mUlD9bpIeL7dSm7zuLf+9qJQdjUDo6up6+OGHI9HYt+/8kdvjBUBAs6ur69E/Pfyb3z3qdLluuuW2m268IVjolxkdxEXCQSKwxJ6zoBAEyMfLl9d/uvyZZ/6xdvOOyrLKeWdeePTs406fO9vtdKSGDYAeYERGe/N7QFpEMvGEgECgpmHs2Lq5cffuhYsWrV65or5+rQB14pRpV151/SlnzC0OFlaUl8kSBUIgF+MmB3b8WCx7RBQtLa3FxcUdHe2y7JQQuYNLkmTh9nEj0d/XIb3+qdmvd27aCxubu3qi1dNHUgRX0llw9NgJd5ysVnibb3/W43MQAWRnb6AoNPx3l3rrQnt+917rix9UNvRhvL/5pdUTfnC588QqpZcvvPr3/uWNTpB9wkk07htV3vCXBaO+f1HZmRM8a4d/euvT7smVxWfNWP/qypJLT510yTTRre345rP97633zhkjmMyDTiJTQkRq/lSH+meXuo+om3Xv/xDOm34xv/Xxxf5Tx4w4fUb/a+v2/uJt30ljG19YOu6eqySfg3TFjYguInrPi0sLxo4o+eYpokPf9du3W5Ztq64+0hoOssqnL01MOZCAcsjq86lmqnfasNI5s5d+59kClcS7EtHdXQal1d+cSxzpXikiIiYSMcM0FFS+NGHF1s9BFE898fjuPXtvve07xcVFALB7547f/+43r735jm7CHd+7++KLLywvL83MAQ+8sXn8gDNtNdM0BedLly7+2T33rtu0w6kqw6prXnrl1fHjJlaU+NOzoKkXOZAbl88N3p4bISCgwFg00rht3ZvvfLBl85b33nlbF+jyFlxw/nl33PmDceMnBENFHrfTTmWyIdQHJ6tMUu0xomuGrut1taOtCjNQGAwVh2RFJoQQQh2SN/Fp557etc1NrQVeX8GkivG3ftUxKqg39AhntOyCIxy1fhBAKevq7C3lQjNRrix01QWFA4tPmdzy6id6T5w3dHl0p2/WMKnQQQJk5l9ucAY93a9/YlJOnA6to69s6sjSr40jQVYwa8SwOVNaNjYW/s+R439+oRyO6Mu2gJZ0msloHwrERHfE7QllEBMCBBSY9N2v8t6k0dDG+3WWjCoSZTJjpe7R95y//vKnu1duKj3z6KJ5dSBB0iEZ7X3IwVC9/Ss3Sa84/TMmjPrlecRLU42LNJ/if1Xtc6h7OwM7eWjJN2c4JxY1r9pUVhgyuCj56iSp0gk2jU3DMCwG15fQ4VAAwvp1ax555JFJU6bdcssN9Ws/XbBwwZ/++CdJ9V1z/a3nn3fWiOoqaxolVchku2wijSQMvntC0/TOjs5n//r0W2//e+fOhlGjJ991108vueScYGFQoel+BBmI6R6AJVKeRniq34e6pq/95JNN23f869//ivX1L/t46eRpJ7h89Obb77jqmqs9Xo/H5bapVlt8GHvn/eBtMdJ9WBS4Z8/eeDzm9ngtyilPo6QWqKkwlKYNr/zRvEkBB0gEVEAJCABhhHpcwkUJBRBguH0ujoQROeROrm8VgBJQ3dCIV5IDzv7lff6yEuaQLYzGOypIOCS6E6oiE4lF93QLBYiTAiFocq2n0zO6ApK894V3OuZvDQc9Sqnfp4EPAGMGaMn+rdustn7qWjj0f7i+5/WNnWYs7MexrpLwni4wEUF4qkPBEeW8san0yBrqpIAgS6rs8zC/UnXnV/Y890nHS5vaHl+jFcvj7rlQmTPSjtL+b8NTDkFZPqVoTggYMR1ipmdGyag6FxpcLinSDA26I8zrJKoEqWSFeD0el9P1JUNSAABIJBq57Vu3d/eGn3rmp6s+eu/am+/QDfzamWf97Gc/ragoAxS2fGQAWQbT6mTZigEBANubW9qaGr77g3s2bt6SiMdOnHPa93547zEzp/v9vlQLHXM+xIEJbGKWmZKRzhHc7Orq3Lj+04ULFqxa/vHa+m2BopJQUfHkSVPv+vGPJ0yY6PV5LIaInR6TxYoPDSFPqRYQi9UhuMDu7h6326MqLKkluDBpiooNJgeodsmVDpDTHqxWYiXQ1DhhFFAgAckFsiZLFNzFflYjmMQQQO8KS8kk1YEwpaezvTycwJCMYW3P/f9yHzM2UFQQJgK4UVhXuevDdaIzLrk8aCD2JUXU0Hf39y7eXfWtrwdPqiWUbv/eS831O8p08Jb4IwU2fzuC5t7eXX9+r/LM40ddNVvyK8l/r4+u2Ca4yQyl+7VV0BcxSgMNT3/gOWa0HHSSzphgVDNNqcw14pvHs1tPCn/S1P77D/pfWuk7voZIWaLk/7aYcgg7PKsVaDT3Nt31kj8JPV3hfka9bo/Z0wsa0JHu8vNnBs+dRVRGCNF0HciXIYbY+rtWvvHu2+/Ur99IKHz/7u+uXLPuiiuvveLKK2ccMVWVJSQAVtS03dEs1pCWKkwFGhTLli37ZPmyRx99vHFvc82o2m9+8/ZZs2bNmjWdyUyYnAxsD9kCic0gA4ayK81+hxtJ0xQb6uuXfvzxssWLO3p619VvLi8rGVlbc8cPLjzv3PNLSwoVRRmoRA823i05XCYk9vu5c8dOIfixxx0Tj0ficezvj4WKyzJ9f8khOUCxi4qlLl8QVVUZo0AoICgxoUmyYfC2dVt9IyoIBYGoeP3hdp0bemjuxLaXVzY9vaBo3pGxtY3hD1qdM8YJKhJcAwKgqHprsvlvC8pOmxpd29Tf0TnjF1dEt7ebUaKgBtFk38cbYfuuqonDWIESjyW95WUZIJ0g6t2xkBIsKPZIEolvaNn59IemwQiS2Md7tv154YirTik4rm7tLY/1vryy+PLjTAA9okkJsfWWp9WRlSNvmFswuqjfLydKnUABbWq+/7/vM2CpWA0LR0GB0xXqdoryr88ZXlUYXbyr/cWPh31lel9fx45HFkweU61OqxBCuJxOFP/9MWVAc1QI7O1s/9Wv7ne5XLKsCMJ++9BDl1x4vtupSoxmzHoGKDZhhsSfzjgQE8nkKy+//Pqrryxa9AGVXEcfe9w/XnytuLiwtLQk83spqv4+sOJ9VqBCCG6avV1dK1d88uzfnunq7atfv5Uq0uRJk8485/z7H5g1etRIX4EvV17KFgsPs1VApv2EiEIAkEQiaRiGLEnR/ojX7wsEgwF/AQGi6zo3Oa/2J1WRTY2QWvvZlIlZFTKdlrAAJkrchqkzSXKNGdkX7k110gudbFK56SSumkDFt+Zuf/T93td2Gz4oOu+o4lPqGl/4JFZYAKoc39ZaVjuq+cMd/e/v6U8kq795gTTS7y92Fpw6fdUDr1Gvq6yyjBw7fvPGbUUJkxS72/e2lWcqTiTO2mJp3thlT/5Lfn6BR3bVzJq2wViZDMf3vPYxGx8qumwG88ojvj1v2xPvq8fX6cMDRhOhDrn0f07c/pt/t360zS8rQpbGXnYOSU9jpALn//c2zT3NBYSX7Eq+srboh18lIRmFgCT0/nO9gf0lZ81q/eP7clVB0SVHXX3NtW1tbS+88KI7O9j234eb2Ka1CaKhJ7ds3nL77bevWLUmMyBOqTRxzChFUYIlZVdeduXceXOtLZrKT9KsTCuWmLq2u7HxmWf+/sZb/2pqaZ8wfuLll158zjln+wt86W7IADPQfSu/o00MK1VIoYjH4oaeXLJ48ZpVqzdu3lxfX9/S1jFu/MQTTjxp7JhxZ501z+V2SmnVRbu3QV6m8aE7tA/1xTm/6sorX3n11aeefKqnp0fT9YqyihE1NVOmTjJNkxLKE1xxKsDArggFAMAJJIC40gRDDYCATgzFkBER3AQIgAlEB1ABGRKT8D5T29XnqCrgPqAOSk0CJiEy7HloYe+7myY8eo2eSBKVqdVeYs0tGSB6dKMnrpZ5wcEAARREDmAScFnpUQr0ISZAmBt7wsInK2UeKiiqQvTpCEIKOQVBoQvWZZKQAiZg3IBCBQSK5qTeFTP6Eu4xIVrutI+M4JciTzn83jRDFMqp5S0g2RLRExpIAhAJpeBAkYgkNjXh1wRBHmnqKAJicpMymvKI+a8FldJYJgq+Z8vaXzz4+1f/Nd9bUPrwn/9GmLRu1UeCm1u37920cVVvT7dprjvlpLkZFNP+Utzkfb3dq1d89KdH/rJh6/akQY894ZRHH7t+4oQxLqdqJ1buV3DLbjCa0c0UXHDOG3ftWrNi+Qv//Oe2Xbt27dlT4C88+vgzvnLORZdccuGommqX20WzRCK0F2aYC50cPth+6ONHcNHW0uL3+RhhBf6A2+NGhFGjaqwBdE3TqMqQCtMwpdTYPaZmixgBry01dgIAKCCDaksJZQESASCW4jINMWeoEAAka4kqAAqgAMfwopiZFC6h1vgooZa3NBCCCkKJpJT6bfaMYHUYiK1hRigBBbCIyqGgrUilrMSRcTFAGbFcSUUNtwIWxlztdAx3OvIlnV8OztsXEFAGDDUz8B9Z2fzCyt4nFntPGS8HfEZ3b3/9Xrm8KLm5Jba5I3jGFJObiESWlf/uLI8ACm4kd27f8cQTTz7z7PNFxSXf+vZdF1x4/vCqMkLwkgvOACCGiX3dnV8788zm5tZZx8yGzJwvIQCYTCaWLFny1ptvvvjCK0mDHzXr2IsuveHyq6+uqghKjNio/ZgeHjlAhxAEAkYyGU/EG7dufe75f65eu3bd+vXRWGLC+AmnnXl+VUXJ2WefXTmsIq1XTzBnyiAz72NnlX8ReHkqqnR2dm7ctLlu7Ni2tjbKpEQiwbngQljZmupQrY8mK4pdezzD7cFsYmWfP806r6R6KBJLxBOSJEmyZJsmT+EX7kllI686lRWqlFCErDYlyXqJDDRXxJxJtNToGckbGwAwKxKQmhhI57/2Rvzh0I784k/dL6S3kp4bIqCU+z3nT2967EP+zCcJygoqnKE5RwTPndrwt4+wsNh3/BhJkgQ3v5h49xmBakTB9a7O7od/86sn/vo8U73X3vjNm2+6rqQ4lF6TKXCEgbj99tvXr1//6wd/M7p2pKUmCWh2dHU/9+yzr7z8cv2mHQ5VvetHP6+tqzth9nSHKmeEqbLrCvcXR1Jzl6DrOiBv2Llr8ZKPXnrh+Za2VmKK/jife8bcKUfMuvbaKysqKjwetw3Ozcf5hwE6BkO2tz+XVQKIyAUmEgnC6JixY/2BUDwW9/q8mma4nA6RGuRJGWukx7TJUK3r7BQn5oeaFEVOCcFkcrIUxQZddYWuukKb4AdJTw7goAmGwR0JzI73EJIX0h+4ATE7cIE5rrYD0LsvQUz5PAJKbpwaGMOpk5WcP8U/dTi2JbnGqU9yTSoBlYy47gSghBXK1gESjfZnVPIOX0v7M3Rz7JsNLSuMjpY9Dz3028eefragIPTt7/34hhuvUmQpIyhvLV8EAiBWrfjktddfmzB+4llnnUWJiEf733n3vSWLlzz3j+cpk6bPPPZvLz147Iwpfq8zJeSfw4If2DXLYy8CAACRSKS9pWnN2rXPP/9iV1fn8uUrS8tKJ0ycev5Fp02bOmXWUTODhYHMlhWCE0IGTv0c6ADl51dLDliNKDZs2NjV1TW8angyEefcSMaTJaUliqxgLkXQGtPDtHH7wD4cpFxQcjenXZWa0pxYxIUQQsiynLFPGXRDaCpSYJ7W/KAAR/fT3wJbKAGA/VEV/8/1fYasVlKiY4QAoBC8O5HY287b+9Qivx7GyJNrda+78uuzQWUklXlSzgUK/KIzrFzFlEzdliKNdzQ3zX/jpYef/kdLe/efHn18+rSpw6qGMZoScAGgKQ4lAQTsamu6/5f3+f2BO+74Xrin/Ud3fquxcffqDVsDgZLzLrrxlm9cVl1dpSgyHRQe04yVtOHQQC1/S1zA5GZPd3f9yjVvvvfuW/96Ox6LCsRAoPLU08+66rrbTj3p6FBRoSRLZJCSzb5MFA5Q3uBwL5iMNyimjVF37txBCNG0JBDicjkpY4FgEIndUC2LVZtmShEqj/8xJbY0Obfqt3TtAcCSDLN01xVFsUu+DhBpTAsXDLYMHso6Y7/3ctDILtl3DPr/veTcAwgRjF19zT96fe+G3aouFLe7X4t4EMsuP8XGsiAARFVUy2wh7yr8vEq21A4WA/4hhDDNcFf7Cy+8+IeHH+5PmCefOu+Rm78xZco4idJ02kpsqo4ICFoi9sMf/fSDJUuKiot/9at716/fWFJacelll95w2/dOP/10WUm3gu12wZlDCjOiDfbgJlAQXf9/7F13eBTV3j5lyrb0HkhCICFA6FWa0lQQFVEs2LBg713vtXu9n11RxHotFEUFaVKkCSgdpfdOQiC9bJ1yzvn+mN3JZHaz2YSAqOxzn2tIZqecOec9v/q+vq1btu7evXvunDmLl/6CMd+uQ+cBA0cM6N9z2NBBUbEx8XFRdWTVQkVVz7ZKQk1ayM+oBgCldOeunbm5bdPTW8XFRDFAq6ud/pI8yniOq9sxz3TeFhO1u6IoGsWf/ksdffTjjX/VlLqMcKN738afI9H3OX0f7p8JHfXy70IGGKzecAALQp+pD5346NfoxFhxZP7hzxY7OiQDDgbyQ5Axmt6iBYdxyEucopRahNCi3QojxFtT/eknn0z56quC4vIhF1388quvtsnO1CRaAkgSmMqB/5cl75zvp8/4cTaDsLyiIqtNzozZc9vn5bVsmcYhpFGLGU3mWtffz8dTqw0JAVBVuby8fPmin7bvOTR71o9Ol8vpIS0yWk344OPs7KyevXqIAi9wiBloPrXATRjxybPUzqWUUVZdVbNp06aYmBiLyNtsosvliY5ypKenaU6xSlQAIBcQGzWhpPHpNHpm44Nr6ANhRNmr4CxbmJa3+rhfm93Q/ofaKWFYlDSJBCE1ms+JsnVO8R04EdMxutWYPidWb3UMyYU2DgSKx1xOJyEUc/jMrwqN4htC5HW7P/3ggzlz527euffGcePvvGNcx/wOuqignsPxN9owxoh64uTJJYsW/bJk6Zyf5kPRChiQFcXndK5aPLvgQNv2HTt17tgxNj4RhiBy0sW/GABMkVUA2KJFi6orK36cNWvFyl8RhO069xo09OIu3bsPHjQkPS3FZrdAQxmK0d6B8IzHRU5tqhgJEwsKjp0oKmrTuk1cTJTX43S7fXaHIz4hXsNIhJHkUziDCKQmwRG8XI107pEAh+n3wRLojdIePE1z85zv47cc/XyOjCGMrdmJzpX7lIIqS0Z86aqdrNTJ8xCWeajKkL/KACAIvV4vpQQYOwvPWDyIMcnlXLduw8T3Jqxcv6H/gCFz507o1aebxcIDow6pTtNP1Zrqyv17dnw79btFy36p8cp5bds/9eJrPp/n8P4969ZvPHz02ObNf0CEAIT9+w2YNm1qXEJcUMk8hQAosnzieOGKpQvXrN+8cvW6k8XFdltUbHzq/Y8+f/GFA/M75cfYRAMjhBGMoJH/m9Xl/P5LhOG0NYkx2rVrp6qq519wgcfrUxQiK0qrxCSe57XjZJ8sioJeWkopo5QyhoIFZ4z91rWK9HVFKeoTqDbFR3S1b5OHdSo4oslaaIz05+yUxn6QsVXVmpVQ5JNrJi1qefXgmnLnwZdnc27Z1jE3IJvAAAQqURvmjj71UKyZLZMBRl011Xt27Hr71Rfmr9qQ167zlGnfDx1yPs9rFNPMELQDgFGiSOVlFTO/nTL1m+mbtu/p2bP3kIsvf+SRRzIz0jEGDDBKmKpSSVZfeOGl/30+iRNiLh4+MjYurg71I4CyIq38ZfnOnTsX/rRg2arVMbEJrdvk9B140ZDBg6+4bDhCzGIVETSIpsIQJJLwT0nbNKPLDAADgKjqju07bXY7ALC8oiIjIxNj3uaw6ZaXpt9oiMWg+ta1bqTol9DDq7oAe4Q5RF2OQw/rnrpVEl5xuL4vncMUneyHBUiwGZdgz372quNrd1vy4lo/MHL3J8vsKdHJV+ZjB+8PIDCIIOR53liHHvwWjVGbiN8NC922q5GEqMqvixZM+HDSmt83p6VnfvTJZyNHXhobY4cI1sY3GPN6vFarxVVVWnj08DvvTFi68rcap7tXv0FfP/Xi8IuGRTls/vnnn4sQY3i88PCcWdPt9uhvZ83v36MDhAQQoChKeVnxsmUr5i/8edOmjWXllVZ7XHar1hMnfdb/goEJcUlJ8TbMoYaKQ1DYBM5pxBddRKVZfU5KCFmzbk1mZlZCQgKg7ETRcbsjxmKzmaIPYeq/Q9odJg/LGH+pL+pkjKEYjzdJIDd9p0UoGPXO2SmRxzwNXSoYClmOrOQuSk1N1Pktzut9K1F9IJY3WJUMIWyxWBhgDcJ8IwNd/i49E6gwRnZs2zZn1g8fTfqsRet2b7w9cdToy6IdVmN6QSuEUFWyfeOa3fv2f/7Jp9t3701Ia3XjbfdePeaKtnl5PIdMagKa2XV4/94bb77V4/W9//6kAT3ae72ued//uH/fgcWr1uzYth0I0S1bZY+66qZePbsMHXahyHN2u4j+CqZGM4YParlXKDi4/+C6devuuft+RVZjomModWKMcnPamOIaRr8mWMQq+CZNInyNCvObnjQ4kXwmh/EcpgS9D4iIS676YlXhT1sII7Gpcd5St6S6o0f0aH3/RUCACCFKqUpUZhAe0gNmjY2omzYZZhQCgAAARlS1+OTJGdO/feX/Xsei9eEnXhx/+w3xcTGB+ikGAAKMEVUuLTk+d87cn5f+umrFCsTxbXI7fPXdnF7du6SkJvrBhIVokykvK33wwQf++OOPy0eN2rN72/CPJxYeP15aUiwItp79hr78/mM9O7bJyGqZEB2FUcD3Y7VNJAyeRkvjFBdGyBFu8qkCoAC3btsBIWKUOOx2m8UaEx1lt1o5jFid2t5Iczf13XaDx4fhQm7eWGxjB/AcpgSPIChdur16wa70YX3VvERLJRNOlCtpQlR+KgzQsiKEIABxcbFGYubIDV2tq7X+IgJdZ4UeOXT0vbfe/PaHGZDj7rj7/ltuvb1Nm5bY721oCq1I8rp27tgx5bNJK9ZvPnCksFOnTo//6+WrxlyZnhJvsYiyJHEImpMsjGnp5BOFBQ/c98CyVb8JovDzzz9v3bq1ZYvMO+66p2fvvt26dbVYOJ7D0OytAAgZ0zgzzlY0afYFxgKCFaoi/zhrRl5eXrduXX0+L6BUtFjSW6QijIKYv+Hpu8kzmW4/Z6c0MSLKAjswoEAt8QrZifF39ULRPAAgNmhktdqn0rJSRamVoWpC9MvkGenSwpTRA7v3fPfNtMnffl/hkm8Zd8dtt97UvkOeXpdHGWNE8VUen7dkzdSvv9y48XdLVPzlo0Z9MfWOtrmtLYLgBzgIRFEIhGMoAJQovurKqs1btv+8eOmSJYsrSotLKqqsNjtC2GazPvzwg1eNuiIxOQVxnC40DILVLwAyKZqdjnksy7Kx+ussmSZVleVbN2+KT0iNj0uucVWJVkvRiRMDLxgIgKE3G8C/Yhy6uT7nMCUIkhFLGJB3YuMBedNhvnsGErHq8WBRRDYLQwGvgTFKSXxcfNMAJVzgkLGq8tIvv/xqwvsTeatjyIgrnn76yawWSUBnf2K0tOTk2tVrf13xy5pff9l5sLBHn/7P/+f16667LiEuhkGmN5kE1JsZJdRZXe6rKZ09f+msuT+tX7tBUkl+l17t8rtdeOEwq0VcumL9zm2btm//45mn//Xpx5+0zWl79bXX9Os/IL1FunE9BQuf17V+KGi+tcQY43n+7Cl+03Uv163fcLK45IYbb/X5vCLPVVRU5OW1tdltATUPyBppoZwp6/vMUSafw5TaRcICvbZiigNhtOH+zxKyWwJZtUY5+CQbuqB1+tXnAQEHcn6sqqoa1FeP29ArNklbaA0yNVWV30ydOnHixKKSyksuvfzFF1/IzGjB8xgBxgBUFXn/vn0LZ37/7ay5RwqOxyekjb/7gXcHntelSz7P8xACRVU4jgMBmQifx+P1eLesXzlz7uIli5fIKnW6vef16//ws2/26dOzT4/2gRAvHHPNVZJX2rJ125zZc5cs+2Xl6jUbN2//af7c9BawlmUgwkH8G5qwel0NIIT8vGhhalrLzvkdvV6vzW5LToxu3bq1KAq1saq/e7j674MpiqJoerenyR6urceioGrLYe9BV8uLhthi45SaqpjcJCJiEu/QSsL09eVyuxWVcDwXOayEFGcFjNZUlH/3/Q8ff/TR3gNHrr7m+suvHHvxsL42iwAggIC6nc5fli6Z+d13C5avxJw4aPAFEyZ93jq7dXJKvBY0RZBpxeCqotRUlBw+uP/3zVtnfPfdwaPFJeVVnbt0GHLJ6L79BvTo2S2/XWtgaCvWDA2B44QobkD/8wb07+vz+Y4UniwoOJGb28av7gnrwQ14GjHlLLJQDC+vurp6+S8revToqRAqWkW32+1hXoSQoiiCoJPp/HO9nr8YpnAc12RHo3EmIoCyj8Z2aJHywoUsGkGINBoMjJGxx5vDODY2FgZ1hYXf8OoAC2MQMJfTtXPrlueeeWrD9n39+w94+t8vX3LpJTwHEYKeitLS4uNTvpuxZPHSbTv3JqWmP/bE02PHjk1vkYKMgRhGXFVVx08UL1++bNu2HatXraiqqJCR0KFTtwefuq9Tft55vTpZbaKfWk1XhQ7aVjVlXotFbJfbKq9NZsB1+qevEBZgYAAM/DR7zsmTJ3NzcqKjowkhXo8vLjE+PT2d4/E5Dta/HqY078al531NfdzapmzPTKiQtirHS3hHOoMAMlrLPBKYZyohSfHxITu+Gtr0/LFNoqpbNq57+Imnft+8vXu33tO+/f7iCwdxCKqKXFJ4eMGS5d9Mnrx//34ZWQZcMPSjh54cPfoyQeQZIZrfTlSl4vixrVv/2LF734IFC1et28jxQq/e/a4bd1fnzh169OgeF5fACxz0B1QBCEEGzerQRNayjQGAEAioAp/7BGoF2OrVq5OSkjMzsrwujyCKUTZHUnw85hAA5wDlT8WU08xXFGm8KugGdGk7RhTFW1C1/a6v41u3QLziA1JMih12b50yegAUkP4IPkmCKKIAWCAT6f+XqshbN2/9+KNJc+ctyOnQber0Oef17pyWnCB53Tu3b/tm6tTvZ8+tcnlzcvNuueexyy4d0a17JwwRhABQpbqyrKy8ev68eWvXrVu3foPb40EYD+g/ZMGi16JjYjp1bCeIAjS2//p1bfS8tbHnBoZfRpqgBQToH40mWj0uhMUnjy9evrR1m9zomGjKlBqnJIhCTl5ugLfkHPw2ElP+KlJ7TQesALkhY4wQlDh0gKOgtORYAcesjsSUyuIqW0VtXxxjgDFQXVVFCTUOYXCfqGFmMkIIJcrJI4c+/PiTz7+abI9NvfH2hx595M60lITK0uLvvpk2f/aPi5csgxb7qNFXXXjh5RcO7RsdbQeAKZKzrNK1Yf26kmP7p307Y82WXdHRcR3y2996x11DLxzetUu+w2bVCZJq8csgIWqO54Qq/zdxMQZ99x8MKwgBxlasWFVWVj72+pssooARxpwKEXQ47IydA5T6MUUvCg7uW2nGdX6KL6C+zhrTIzS+eRwCAKhHAhDHdkkD7ZIgbp8mA6YSKCCGAeQRFHCgdZ1SqhIKCKF+YTpQO27mwImfGl6tKCl9/f9e/WHGbBmKt42/f/z4W9PTk/Zs+/3N//64YN6c8hpfWss2/3nrvUtHjkhMTGSqUlletmf77/Pm/XTsyL7VG7dWVzuT0zLb5+XMfun11m3aZmak8gJXS44P69Rf1vYZmYETRQCu51ZI7UdVVC1FMGv2rOSUlLzcXEKpx+ONj49t36EDL/Dnhsg0fbhIltxZBcNhgM8oE9Wo1kw/P2CVtH/CQjEhNjo/rXTqKk+1RN0ykQm0OyiWky7umH3bIA1WNMqvKIcDYxTAlAC9O/TXpOk3yah6srDws08+nf3TT0eOFT325PPXXjMaM/XH76ctWrJs85atrdt1O/+i0bfcfF3Pnr1kyb118x/ffPXbrl17ft+85cChAy0yczIysh957Kl+/fp2yM8XNRwxg2FDryzAAQLMkdngDzrLXdczvEIwhxljuzbvXPzzkhtuvJFSUF1RkZKcIkmy3W6HEJ4LzoazU5qLdiFUfIs2l5ESpgRe7xZvGs0adAhJQ7tDjCmmSSPPJ04qe7ycRRActuriCi7DrsgSZJAXrZQSQgjHYc2BkHxeQbRChPyctgGIAYweO3pk1owZX341ubLGde31t44ccVHJiWNPPnT3+j+2UkKHX3bT1dffN/rKYdXlpYt+mj35y8/Wb9xUePw4BLBb956DLx715bjr01JT4mJjBOFsiab/A+18RtlXX33JCVzXLl0FgScqdXk8bfPy4uJja6uazrk/ge2KM4VLIuyFa+xm1QQihpARnPpOYjzY+IPWVhPcSxbsjjHGIAfj+mVAjXS4l1aY7m/djSXZZcWlDz1wD+K4199+jxdFohKHI4pRdrKw8K7xt10yavQtt94uWATAIIAQMFpVUT7z++///eJLDMCLL7p48KBBR44cffDeO/cfPtq3T9/nnn+5c5fOleXFv69eMW7sp2s3/i4rtEf3XtnZ+Q8/+njf8/q1adOK47QMJauPnf/PNRX/ISsEMnjw4MHvfvihX78BCHOCIMpUoZRYbRbkp62Hf8poRE7gdKbtFGMkwqQyG/4WCSEY42Bi7kgYRvUjm8ssCnnPIfM7DbScY+Pj0IBlyxCCsclxChJnfv9d23b511w7FkFUdPy4LCvTf5ix7Le1tvj0G2++BRMi+SRG1CmTv/zkk08LCo+nt8xITk4tKy19/MnHKWWXXTrqjnseOnGiYNPGNa/93ytOt8ciRA0a3H/cLXeNvvKqXj3yMcdxGPlT15D5m2uwAS7Znw8of62YvUlxtdEPy8Din3+ucdZ069rNYY/iOS46OdVmd7TJaR1o7TlbnrTJ3w3Js9/kjQTqjFLB495Y2GsaTIaJuTZh1ppGNtgJikwptTbsahSI+/33rTfdfKPHWfPtN9++8NILcXHxTzz22OirrkxMajF12tSc1llElbdsWv/ZF1/Om78QYYwAiEtIKCkpQRASSuPj45OSUn7f9HtGVnZmRk56RusxV43od17vxKRYqIVYIQCUUUYhQoxS7Cfl978jSZIsFgsEpzqNmwwH2hdDlPac3ZgS3KjZmJun5WUVw4YNTUxKuf2W2202O8/xAKK+A/rExDggRJFTX54ZFG7yGozENYmUk8lop5ga8OtbfpRSnUjKxNYdvG7DwKcuA67T5Jl2wpCmhNERCAmCwaEcfSy074aQgAoxgn4bihCV4ziNbKRjxw7jx9/z/HNPvfLqK0eOHqWMPv3MMzUu18RJ/2mZmrT1j41vvvXWylWrVEoRwoqiQAiLi4sRwiohEGJVBdnZORdfOnbM6OG5rbMIAxAwnkeauqQu5IQhYtAs00kIEQReZ+2vD0mDTTOTJcgY83q9Vqs1kpkX0opsMtA3GcgatHYjjP4YlXoifRwGF8xfsHvP3lv69KWESrLEAEKQioLAmFEVseGRrC+3EOGwR+j4nD7rJvLuE85I4a35MowZhVdhSLjiOI4QAmrlVGtFlcLQTJmIiLSDTctAH32jaIaRdlzfJAkhJtQzja+W9A35FF6PT5ZVm10U6sjZ1jlTAFOIn1CS4wSBG3vdNfN/mrth40ZKqcvlcrlcI4aPiLaAW26+ftnKXzHHQQgx5igljDHGcEpKWvv8/OSUtFFXXduzS7vEhBgAAAqoUGpjbhxAPQEM6z6XLtoQfp4pioIQCq7uNb4Oi8VitDi0MQyTSjMNb8S9CBHN1wat7hBcEGEnVZjz1FdAFIri02+flpSUTpjwXkbLjL59+8mqRBlTVNK/bx9RFDSrklLAGDMFARoVTzRtqCGf+lQYnhqFF8agRBO0O/wa7EYQMT6YUTlNn3amUIWRvNvnk0WRry+qahoXbRrpVJdGPNKNC+MxhCgAYNPrNzJl1vcxsnIaocpqs1ht9U56Qoh2aQ09Nb0o7U+JSbGvvPLy6NGjCPF5vV4I4bFjR68dO9anyBAhSinCHGFcbGzLAQP6jblmdG5eXuvMNOy3/vQyeaYVtnAcF8lmGwBWGr7jSVOoAwBIkqRhpYmWXX86HXSMszn4TekmpAmegg1Y40ga16cO7iENXm1bCrM5m9KFwczyJkBp8GNiaTXFhrR/6I1OjLGFCxbs2bdv5MjLRIvF63Erso+HNovVhjS9UYAhpI2yCEKaWsHRQKO6YMi5EbzaTbuy/pYb5fsYF7W2KpsAK5xphetvSJ/uDTKYaRDA81hV1eDXpntVpvVjxEITj64+k3RDJuQLCIP9xtVi2pr0B1QUwvM45H6uLxvtJFpy2m+gYdyte5d77nngnXdeZ4wKgrD/wAEGGICIEjyg/wX9B5x3wZAhOblt46IdPA9ggFufEcrq7vk6dEayJDQ/McKZEYZ8WwOm+vSlQihvhtokQr5ifSUEz/j67twEZyaoajBkaLrhgAZoI+SWTIvWcBACAHhdzhnff2e1Wi8deRklwGqxKQrJyWmdlJxolE9rVBlUo/R3go+PMCcb8h1F6NHo67HJpLZcyBevLSETMa/JHDL6SkbjHADg80kWixhyaDQVEv12jX6WcToaZwxRqdfrC6Y4iKRY1pSFNd6JBighGGEDzl3Iwl9VVQWeHzdu3KxZPx45cpAynNEis2fP3pddfmlWZsv8Dh0EAQOoCaOoKgEcxtpAsUCEJIyEbRg69fpIkk1JdC0ipr1KI8QbN8DgPd+8XTdkOukwHdK4MMJZJM5U+HSS8b3o19UvbUSl8KsopIth3IHqBEYYoIxOmTJ11W+/PfLYk9FRUR6vFwAYFxubmZnJagegEdt4yC3QOIbBg6m9UKOzH74mowkhleD7N0ZUG3yD4TDFhPFhghRGM9LkDWkfjuOsVkuwH6vhiL5WTbaWFvQ115VrEk0ciopyNNalNCqkBA9QfUEB3eav70+aPdmqVfqE9yfs2rW/bfvO3TvnxsTYIERUs+QhAwAihBllEEEdmmvXADNbUqx+YieTt9iorS9kED2kwoPJiw45zsGx0uBdIXyIMZLpGMZE0r3jpmWdwixpY286oxQiqKiqq9o5bdq0uMTExIRkn1dSFIIQTE5OTk1PhhBAiJqrGAQGBeON4TDjXtKg6WF8BRHmznXbsL7pF1meNFSM1mSBm05k3JdMs9yAsnU2KKPCiFEF1ujymG492IQ2Gvymma1DVX1Oo+5c6GeTJEkUxUiijMFCLfpd+SpcvAQZhX1btBvQtgu1A4IxYEBRFMwh5lfpBoz5NU8jV2OIZL0Fz2PdNdPuEBv0NMOfUE/eGS0XCKFuSEa4AYY0fEKOYZidIEy6KvhUp5hFMq4iU0wQ6mqwDLw74Z3tO3fee+8DNpuVQYgxiotPyO+Ur33p9GWCgyM+RrNdu/n6FrlpM44ExBvEi+DkSaS+j2kxa0E+zaYwBUGC5zelVJuIEKJgADLlcWtTG0HBBeO81FeIoii6VLVud2inIoRovw/znEYM1vId2lvR1mGDeKRFggghoihq5U9Vq/cdfWdhxYlKp9eX0baNPcmaNrybfUR7S4JDux+dFzKk1qQRrEMKaBuT3/o/jRZcyGfUpecitAuMLndwXDBkQ6ZpfPSyg2AympA+f/iAeoQF05GnnMKYrmECLno50pHDhz/77H9du/Xs3rW70+XEkGIOxcc5LFZRj7acioVidDP1ZaKNqj4ng2MCxpnQoOxpozTD6nO6m2Bp+jElOIRps9ki9PO1yxgzsiHljuqLYBvt5JD19VoYxWQc6ZHIJpRI6Nnu8BPa6H7X3jkDnJPG25Na3jtCbBcrRomli3fu/+jnvBSbMKS9KQNnSjlF4q8ZPa+Q8YUG0bO+5RcmSGH6vVEcN8xtG5/OiBf1sz00fRGeYnVM+BVYxwKiTFVViNj7777n8XgGDx6s4bSiqvFxcT169cQIMcDChGaagHGmLI+unajnCvQMrLYXGnN5IdEnknxo5AEEoz0RySPD+vhTgpd35CHrkJntSGgHIr9QEyZWE5qtdfSp3c8ZoF5ZEnw5o9uCFg7GKEq3qvuO1GwqjB/SEXJ17t8Yh27CemhUCLDJG3j4kzdBBy+kFXaWfCJ544LAb1i/7ruZPwwdemFemzxGSZQjmjGS07Yth7kAjW8zPF2w824y4XWAMG6rIZVGm5eZpGkmTOi8T6PyXiFd32apPg7eUesboyb41Y2K0ocEYYagVO1Vylx8kgBVJpT5oERi22UDvyqgRl/blAnd5HnZ5CV0OrrOzto+oAZZdTS0KCw8fu9998XGxQ8bciGD1ONxW3m7xW5Lb5GmRd+NZuypW15G7zu4YjNyyiET0cepT7n6fN5IpgB36rt6SLu6WSZWcBDnFIfsVHihtK+IPE+KpF3PzIKJHPJ4K/cUZZyXH9MvE+JaSjTTVU5dnTP8XyVJMhakBMNN5O/uDNgCZ62donH8FZ8sLjpx8vyBgzJatHS7nNGOaMSJAy/ob7GI+ks93ePWqGkfxtlswmHN8iqbh5Xjr9WreiofSVZi26Smjx3sKqp0Hi5MxvGlW47Ezt8ad3MfIGAQcUagGQ2Es0pb66/7gRACANPSW3w86QuP2wURYggCyLVqlRkfH3fWDvAp2d2n4cMA5Jrrwf4RnBoMMEXhbcjaL8WemZsK+jC3WvLWcte6I/ZRnYQkB/wziBfDVNOcE4ho5DwG6empl48aXllVvXHDJl4R4hPiMjJanIVcmo0t4T1jaxOCZqJED+y6fyP0qFttoQ8YLwrOE9W0RgaQQUSBBUS3jPU5PaqiaIroEa7ipkWam4D150yYRq8JCOLionv37pGamp6SmpyQGA/+vtB8Onadc9qmjcF1BlQftdpsFVuP8sVVhEp8SU3Nir2ofYYYY2eAQcDOreG/x/uPjY0dMKA3OCu3yuYCgtNkxjab70Mpral2RWtENX8X/A7O0ikYnzxRWvD6jxwvEkYRxW2G9Gp5Ux9o4QLb3F/pGf8GTuvpuv9/wNZwmnKR8JzL3ZjxAtSnEpeEEAQMMkYphHyMDWCtxhH9tRbnOUz5503gMzFWf2FM+VOWhKE3BPpV/gKXb2y31Z8+bqdvvzod6gv1XahZSlrPYUqzXeJvEE8583uUXqevCZrDQJe8v8aRAYjgGZsiTSYAPq2Lvz4ildPxOQcoZ9tigaYZ1tgc1bkPYAAAqmXQ/Nodp38r8IsIBWYKYCw893UwF2EdPNJvOAikDIcx44SpPYZRUBtBC5FKD6gkBv4J/dKrmiaOIWNYVyPRwB3NjGeth+fN7fYghDgOG4lvmvqhzEiIfxbrMoahlfizdtzQvs8/S2iu2dY4DPxfnRl4Khs1C7XCIYBAYazSyRiAUQ5IAPB6mVUEDqy1BYTj7Kldp4AxpqqE4wxEqoRRiUERQhRY5QxABQAGAA8AYv7rm+YG01c+A4CFjtAzwACr9RYBY5RBhELeK2MMQqCBMwN1qSE1Fl8/cCMYVrPpFN8oNL4EI6b+FTyakJhyxqIE3DlAaTR8mOdVHSp7GLStRf4uI2m8JD7lyOQVJ6Yst0YlUKuFej3UK8X37pT7/Ehgx4H1bb5NvwWquQnMZEP4j/UWVRd+sTTlhgHRbVL0vx2Zu54erWp11xDo4CGAAFAA6qhKwlrTAdQHKP57YYw4ZWjlII9c6/YDiUZd0J6hAP+rAY8ZA9Sp1Ow4LrSOt6VE+wNVhKnVEiGEj7O4955QT1THDWwHLVi/hoZEzbPTGu/+7F4LITuPGtutE4m+T9Mx5TShydkPVY26QyN3DKWUw9owUv9WbGhdbWyHRUhZkjq7jUyEQl9KVruYER2dJU65zCekWSxZiUD089eYRcUYYIAyABRF4XleE2ClhFLGMMaqoiKMtJCz53CZtO0kuK7WM2IAxFJL0eYitcbH2zlNIYQQgiDSuX6BHiaHIJhU2Hjn7j0njk5amHX/JWLrxMolu9WTNVED2wMUMHAApIwCCjSNhOpf91TvOZHZcbAmk0ar5YqFu91OT/GRI10eHuXceKx07hZ75yzR4ojwPUboDoRg5DX/wFg9rcksnOcIgvn0Ig97BTdAGhMUYR42wsEJpno7lQV7hmK09UkoNIvyyxlrq2UMqKp68mRxZWVlmzZtbDar1gzKGHO7XKtXLHG7pZFXXMmLfOTMfaY50eCzYB5jnuNS7PEj85PsIlAZECBAGkEZYy5FOlpBKbW0iEcxIkMMAghUxspcsMYj2+1ikgOICCKolHkUp092OsXEBC7WAkWMPER1KhhhQiillOM5oKg1heUyxwiiPACqR6I1kux0CjFR0CpgGw8IU2pkzspRiTLCkIihDVPAEMZMpUqFixd4IHAMAmQRkFP1bC+CRU7UKokSBVAVuGSGAMAQWTEFlFCCMYYIMELVogpQUMZUwiiDADrXH3LvPJYybiBfnIzsfOL57Vy/HyaMBIuuhJHNDEOK6kcuSlVV4QWBMaaqKsdxAEA9IGQKPBs5xvTfaBQn4Re5XqJdH7V9sO6dKRxmPEAnrDURM0aifnVaorns9GNKgznLs8R4iZCmBGO8YcPGN954feHChZr2BYKgoODoow89uHTZ8qSUzE49++Tmtj6VnEV4TlbKgCorxCkBmQI7BcgvHAEIcO85cez9BfJhGdl4SlypdwxKHdlV9Ugnv197bMYmwcNTZ1X69T3S771ELqra+9L0wj3HUuxxoKw64+6hceP6Qw66qiuVKq+FAcxhBgAEWPX6VOrlOAzcas0PmzZ9tBDyzGFBOXeNiLmkq1zs2vfUt/Gdsis2F3qPnLTlxWY/eXlMtzbkZM2xORvdv+6vLq1IbZ/t5r15d4wq/N9SdNy75p3vc7wjOCS6jx3f+vwP1dsK0tqnJ17bNe78TgG6dggIlKPsTo5jKgUQQC8pXbQpadR51tZxKa2iCKHOymrbkI5CjN24LYXBFCMtsUn4xajmtXH9um+nTL7znrtz27VXVAoglCUJqIqsktj4eM2e0jlSTZxs2tww8SUa/6pRlxoZ+eqjYjNxKeicKbrla0Q3DVNM/GSnvtCavtnD048p4dmYTp0HoBnraxoW5QIMQmi32Xxer8fjiY6Kqig5+fXkKR9/8ml5ta9P/wvvvf++jIyW2sRllAEA/J5FWP5nE09XKE7pWuubUSYTpXTjXu+/vwEcBQqG8Zb0W86PbZFa/fUGi5iQ++FFXJJYNmVT6bSNsblp2KeWfbOx422j7Oe3cq/bv+N/i+IG9Tz8w1oiCYP/96SAxNLZvxct2xxzSRfOwvF2G8AcA4xRgDBkCNjS4spX72MutXj+5oIvfz3v8XE0I9q9YHvxV6sduWmq1eLceJKrENreM4rIni2vT3MuP+Bol1X61RrnikNt7r7cWVa1590Z2ILVqxQ+O+uk9Md5N4x1dG9TsvZk2Z6ytK75jpGtKpdvl95dZevYitp5URQgRBTRtCu7pY3pAQCo3F4o/7TLvbfYVuONAhRAwIt8TOeM2C5AJQRRpAGEiXAzOKJTy2MNocacZrA1AGCAMbbi1w1ff/PjnPnzb7/9trvuvi8hMYFR9u7rr+/cd+irKZNFC2+kYdYRJCQTlZGcVOd+D7ORBBsmOjxRSjUuV5ORpetVhFwaIUMqkWuY6toY4ZE65Hr5B9WnNAgZEaocFBQcc3vcjJC1K5c/+9zz2/fsSUpp8ennk4ZfOMhhF/SYraIq2nSHEDBKGQAIBgiUIWSsbgiVUkMA1RwRYTTwUiFAPMeLdkQsCMS4PR5rfJxgFaGKSIW7bFdBu39didpYCGOx5+dULtzqK6h0HT6OooSoC1vBZNEWn5efm8S3jMm6eQCHeC5NlI+WQyu1Uh5JQKpwR1vjsY0LiCggBpmCGIqyKj7Ft74gpXsbSycbs0JuYHbl6i01a47ZLmwfnRWXdX0/+1VpTGY5G3twMqIlrpMrdmbfONw2vIUNp8vOfgWztgotohIvyCZfA66VnU+xIitnb5+afHdPkCTGd0g6MWkVc8k4StTRAfJY80dscdEQinxcbFybFhqJEaUUIgghwAzptLiKogoCX4+oq/4fv8ZjMDsEoYQQeued4+2OxFde/feb77y7bPkvb732Wn7XbrsPH3P5PAghI1d+GE4mfU2asEOXMQhWMglpwBrl1kRRVBRFp/WMRCwlmGIycmPcdM+NXS//uB7CUwtuMwgRwlxZefmzzz27dMlil9sjiGL/vr03rln227K5As9RCjDH8zwGDKqq6oh2IEoVWfYRBqkaHxOTFC14VShJiqwShqGFFyhRs2Kwi1lcshQjWnigypBnCHGCVYSSHUNgi2/dLj+nfUcIIFNVJvmi+7Rs8+IIPtHuz7hyQN5XhhFUqI8DAGGsxCNJ8CiF1RZkxzGxKqaYMWzjozunMEbd+6t3vzPPXViNIbJIgqoqQGIM46LCIxmqyvO8VtBHZeI9VGKJtXIWjlW5j/6xb9vydYnpqc5jJVKZZBveVfRKTIC4bYxWcXLkyIFULj3OzZzlLj7dBnlAGbNnJCIeKEwGIh8dH6f6GGMM8yC5XZIl3s44gBItHqlG8SoOng8ou9auHCHBcazkeFTPTEvbeApowMuAXo+XMZUBiCFiABJCtA0eIaSV6tQq0kEIEdK2XEoJQogSBhHEGDMAqEoQghBCBIHDId54/ejuPbt9/eWkaVO/HnvD9TfccMOxgqOpqan+uEogzYcQMoooRiLkbFTgi1DpWQ+7yLKCsX9Lqg8vGvSpTYB4irWCYaKZ3F8ICyKxJk5HmbmR1h8AQKkq+aTN2/dUuzwIAkmSd+/ZU1mxrqqqMioqmuN4SZbSUlIPHjqgEsrxvOTzWSxWAKGq+ATB4nRWM4ZSkpOKS0oxhyhRZUlCEAMIMcZer4QhhgjYHFa3x8MjzBhlANx22+3vTXhXkwdSGIjJy+CTrEAI7MCUSW6f7FY5GSGAGAAcgVYxFjGxsqzEEW/jeB5ASKt9BfM2JeVmHHhrAQ+iOj18qb1LAtldtPyRrz3Hq/gEmz3KrnhkSinCmrISxnautOgElVW3JMX17dr9vmE4RvAeqWY1vug+Gd7iiqLDxTmqokkHR7dKri6uyBI5e4xDPVbCQCtVUbFEJZdTpNgnKUnJiTjBBgHwubxMVhCPAQcUQBmiTKWUUOTvmaodbeb0qtWe+K5tGAYQwIC2N33mqac3/7GRAqAqis1ml2WZ43gAmMALFFAAkazIPMdTolqtNsqAosgQQpHnJUWGAFAGLBarpuzGQcjxHKH+XDtlkOcAxrjS6f7wk09VlUAAKSUQ8DRQO6PTUJtMA5M8aJPpykxBWZ7nGAOUsvrEnsPILQcDX7MwYNQryVAfd+QZsxciHOvmCprUp/QeIUJBCCRJFgQxt23bL7+a9unHn/w4c7rkqxly/sA77rrH7nBAjDmECSUCL3p9HpUQxGHIGMYcYYwRFUJEVBVAJPCcrCiUMVirCeS/CKUAQcYgoIRqyh4IIYcjCiMMIGAI2KJ4zFRGmL6nQwgdOSnR+a2Ofr28TfxlMNlRNX9LTU1NWpfU+DLrkXfnx63ab++T5Vp36MCEpan3XG1zcZk39cLD05GTVP9xxBHt4JKttMbLWQXg4AlRCYEII4/LE52ccBKLgOcteS1PrtosWoaidCsrKvl9yjxbTfc257XLycuklV6tKIcyQkUOxgtp7VpVLNjqGNweKt7SJVuRqnh9HkBARdHJbKdHcvswErwQMkAhQBABW4wNCZgxRgjTlyqEEFDg2XnC65JxdkIgLKKF4UBGq7YKxTXOKoxglCOqxuWtqXEjzCmyx2GzEMgRRUYIupxVkiwlxCd5vUpVVYkgWhGGbq+7vLQ0NinFbosuKS1nVAKMasIvTqdLEARKVIsgyqrKYSzLUnRMtAZngaXLjP6FcXLqfo3Ja9AjOFqMVo/IhJSRMs55SZIRggBAQeCDFQvrs5KazKzeLIFb7s81Os6Y5xL8GppEkIV4noMAQQbSEqPefe/1nr16v/XW6xMmTtq2fceTjz123oCBnMBr1Z6OKFsg/scAhJSykLm92siiVjsKIITmqK3+M6UUQuRxyz5PTQIhGBgEemKE9Nv7lU3b8sej30hen8URlXH3IFvnZJuS5N7dY8O/JmMH53HTnBED8KAMfKDlpgnz8A+8KIlKpcIQJaosH6/BDGBB4HlBk2e12KzFLmdsdiofZ00e06dw+d6ND02xtbB5956wpmV0GnqeF3g8UFUplmQJeonvuCutezazY/vwLocem152y8eOaLFiy0muhZWLtSGLLbFl6+0vzGp152Cvy00EiDkOIMBk5pVloqXDKQMIaOYABJBJavVv+1t0b2tpGUORvw5Xe3mPPno/YwwioCqEEAog4nlMGOAggAAwCBkEKFC8q/stVPPpAMMQUAgZBRACQBljhDLGcxwAwON2//DN1P+8/lbRieKePc87fvxIZWUlCQizmXS79Syy5lvpfg2lVJZlXfAXIRRITgNFUTTdr5Cq0vrXCSGUUow5AADPc/WJz6uqqkOYSXT4zynMB/DP6UtWFIUQYrFYwiBFcItKhCHrMLH0+lR+60vHBOcLKaETJ3708ccfLVmyJCU1WSW06ETpl199+/HEtzhMx1wx+qX//jc+Ia62tBQY+3LCaiZALXobyP4AyAK6D1p5rtYDDQhTqn2AMT7WApC2fQIIoPYntVqu3nNSdNj4WJuYbgMYAAbUKsm57SQjlEuyRrVJpiIDLlqxqMB5sjixT6YtO7F45+HYvDRO4Ct3FMT3yBKiRb/8m0pLNxcolXKLwTkMMLXYV7R0n1TlcqRFJQ5ozSfb3WU1lWsKUi/I5RNERljJyiM+jydrRAf3kTJYRgrXHohOixUKq/Yt+rX79Af5GFvJ4v0Fvx9I7pHFIezzeLKv6M4A8xyqKt5wsOWIDpY4OwO1pfCQAVolH3liZvK1fezD2mi1yqaFHTI26YdgAPxtUMAPLfrAGsvzjPUphKiLf1784cQPVv26qkPnPs8++/LA/l0eeeSRgmNHf5o/X9RprsPWs4XZNYPjsuYamaCTm6pdgmveTGkgU/C4eWEl0h2dNd9HN+oa+62QX2za2cJfRTun8efgv4Z/OlVVt2/bPenDz10uj6qqhBBJkqur3TN+mNc2p+PFF19RXlapbzLhz6n9VdM5rO8w/Rj9VISQsM/JKKGa0JTxl4wwRhmjrPZyKmOKVlBLGWFUJbWHmb5IAuNDKFUpUxlTA4dRRlSiyIr/9gilKiUSOfyfn4omLKWHnPRozbGHfyh4aA7xKIwyplKmUMUn6yehlDLCmMoo1f7nf06qMCax6k1H9j/xk1LhrW8+RPLiIpkYhBCiqtMnT4uOihZF67ALh+8/XEgolWX5wQceuujCC30+qTmn49/oEzz43Jn3ZSIvTDZuSuEVxRqUATdCfkhJs5CxNFOtkbYN5nfMy++Ypx/D8xwEYPiIYV27dEEcio2PjlDBy3gzEUbCGg7Xw1rt7joWUK3KeGCIkH9zBgwwGGgFguaz+VWLAAQh++cggAhiFLgWgoAxyGBUh1Z73llwfOZmIdbqw3zOA8OgiAEEAGn3xunNgf5GQeTv89H+SWVSNHMTrvKoEk65vheOEcNITZ+ioV27wwPAWe2duvR85JEHLxo2zB5lgwAghJKT02x2B/T3NZ7rg2s4ztI8vk+E2amQcdkwZWDB3mN4TAnZohq53xTmNiIssdOircwQvWswEhx5uDry0sbwPmAwqjZLvqyONa4C+aiz5mAxwDChSyuYwDFAwzQxGYrTIGMMUFi19kjpvqNpXfKiuqQyfCaaxShliqJ4vFJMjMO427BAi+g5OIk0ldG88ZQIZ2r45RHc7xDSPwwOuIS0QcI3lZlwx3Se+spbTY5r4AdGGUChgvCRA0GYkYkcKJuWuTx1ZNHTEv7V6O+WaZgogNUJPDEtmgopYEjTdWQhX30TdLAaHAdKqZZnqU31sboGXrOmSP6WIMM1GY1CjmCjWhu1IshIpPb0UHZ9Ydcm96GGjPCFyUAHhdAYQrVAoBO86U0lkV89cl3kyLWrm/HSkcX8ATAwLMGglRgeWeowDCCkycUyUA/VU3PXIukJGs0lZPCUDJN/MjMx1yxOTUgECf+tSGTijbKyYfggTH2iDcZ6QobfG8vSGghb1LZ76Jma4PKExrr3IfHuFGV6T8W3imTXDX8MNBoyIf5qRJuQx4ZY5adj3UK/aQVg3XycP9HfGJwxxu/OZDjjDIREw54nAs0wYw1yeIDQzfJgwS3Tb0zmjCmxp10xDEVVyLOZjAI95qqf0Ph7LVhtPJVu7Ohto8YjjVc0mUVGLNOmovab0KpjESTgIhznZv8Y6yPCrJP67tNM2hA6pGskgWSRDBEMVUx0moovwlPkGe80eNLq08Zk8jThPsOMTCQj3zTICHOSRpIknAbe/PqCnSEjC8H5GmM7g3HBB+/hwUOg01Wdum0cvnCgnu5h2FjenQiDxMEP3uwR1ibseA23cUcQNQsTQjpFg7yxu3ck3n34eFb48tbIbziM295ktYPwoYDwsbxIvmtEX+7MgH19KBi8/xi9hpAblI474c+ml7cZWbt1D0JPDDeYgQpOM4ek/zRFkU1oaDyD1mtvIuNpMJ0UPA6nQ0euwdSssVn29BkFf8XAxKlzjEX4cs88E2ODUFuXLz0yO+W0asGc4vMH2xHGzU2/cyMMhdmRoMaNGMgE11cWaQQOY61tyCqY+mI3kdcKhzyP6a/NwvMcYcwlGH2aILfQ2NR4fcXWIY27yJd3yIPDFz00uBYiST6En9Kne62ZLhFemqrBQJvpbiPCFCPhzZ8upxJshQZ6VYnRzNFdXIyxHvIwGRQReknB68dUTdcoFNDGMIwzqD+XMVdqQqv6XvbpTmEa96UzPBPCNHCERITGomSDvRqROAJNBojTXVmvqqq2NEyDczpeIopkDuk9FBCeRbqFptiqNmSqqurxVz0PrX2ML4kQoihKyCisXv8e2rSr65HpB3g8Hu0SxprlkHR2YfjcjGhojPmFEejRr0gDTW66e9jsIG4KFYc/uMF5ot9zgxFK/QUFxymN+4QpNG46vj58r2+gGvTWjd0Ppg1YluXwfWcNxuCbfVcwmtL6+U/PrsAa4ftoLyAkK++fgia6wabNKlVVGQNqgF2N5zldGoIxihDWFqqeoDGpBermg5H2XTdi/ZoTDATai1nwhNa+izHWIIlShjHGGAWfP9ht0X7LDKtCX7caByWEkAGmUQEZ7WqzY6WXhwTK8PS/Gy0ghIxZ29oDFEXlec7UjBcwlwKJD02irOFJzwwJYmOyuE6xiUEzDBodhzD2l0nGTHsj9fWFajuEXtxkHjeoi5I1mPfx9x/q9NGaDpHWKW74orkEx6hMpD8nA4AZQnsNhmbNKSjYGC+y7ngbFdyMIg+BcYC1YnQQNk3PKBymhLQb/3RVYO2let2eivJSyPGMAUKIzSrarDaIOEqpKAoMMI7DGtmfth60nymhAEIE/c28/tbVuuGPWqjSy0AhDAiZarw4/rcjyRKjTLSIfguFMgghwkgDFMYYYBRBzIt8ANcQY0BT6tIa8BBGwWOuLSqNX4NSWl3pBBDwPGd32JBGXwgNrl/ga36wgKZec+OyBiwg1mWUwglqadWnPQy2pKh2CcMRdaZKQCExAGeBkhKtwl3bxGBAX622AoXV8jAZ3kg9M1O71dqFYKpb0f6k0W3qVAD63mNEq/piZP6aN1A3MAdYHT1E/yDUAgYAUGvMMKxWZjw7VQklhBP4gJlDEIT6BKgPU0LghS7SRhkDjKhE46wjhGAOA8YY1dR1/TS7daaKxilVK+/oHzsaeEyf18cLgrblQH/VVX3+AQjeloLUJCNLQ5wN8rSMslWrfuvZu0+7du2zsrLatW/XrWvXhx94oLz0hM1uAxD6fLJmpATuFjLK3DXV30z+uuDoMa0DFvj3Cl3crk5GA2rEGoFWYEpZgPLXz23BGHt/wsQXX3jZ55EghAhBhBDWLBOMKKUzf5gxbtytPp/kxzWEGAOEUH/dLatjeGs34PNJqqpqZkjAlSPumrLiE8ftDtvO7dsfevCByspyfX0DVvc1I0jNkxIGHgUUHy986N57rhlz1e7t2xllfo6RWjzVhkL3y2r7lTT4AwAQompjsu2PTdu3bgueJx63e8mSxc4aJ2OAMaDBKjDPPRjkisIABIPAZq5Nd6D90lldU3D0mKqqfkiqY5aZFSq0F6qXw6oy8bp9639d9fOCBZXl5X4L138w849OkGdq8q0YZZD5bdWAzUr9rAx61TDToRsGexmAMcqoLCt637ciyWqgpduoGKs3doayN6huZFDGFJUoiqLRHvstSkIopYqiUEahAbVZAGh1OIS17aYQ1I4A4wXeWeMMUHBqeyrVZxsDjFIqy0oD8ZTg6h1TDD/Ybz8dWczGAAqgjLrdHpWQt958Z+XKtcuWrHj6Xy+vWvf73Xfd43LWcBy2WCw+rw8AQAmhjFFKVaJs3Lj5iaf/5XS6Ga1lIdaEPAPeBPTrLQCgEpUQgpCf24aoqt/rYQAjzHGcSkhCQkpWVmtNzQchjDCCCDBGVUWVJZlBi80Rw3S/nVBC/NSn2nLAHNbDZtp4+qnAqIY4RJZll9N95133fPfDDJ+kHD5ybOo333g8kmasUaYtWwqYP/jCKKMBJgRta6WByURU8vrrr8+YNTcqOlm0xkAIKWNG1gRtmwUAQIhNmw9ESPMTIUSyJMs++fkXXv7o40/0xLzONrBz166rr7mmsrzSYKT4uf6BX8iCAQaC64/8Q8QoJRRoJyT0/QkTZnz/g9fn+3ry5NFXXllVVa2R4FFqqONg+mIzeCkByCaUMkZ//H76yMtH3XzLbVu37dQxFgJYK91sDK8QCgLrrbZUUjeIANSxqw5PCAD+XcofJKKEqH6rTYcnhKx2q+61CRZBM1drgycaCmvnAYzpI2YAFRb4D2MMIcDzvMVqhUifwwgwyAs8gihgixD9y/Pn/fTaf/8vcBV/7wRlVAtBaqYWxjgqymG0G5g2MZh/eUAAOQ6bAN0E81ywL1NfptNYk0MpbXL5+Sl+FFUWBEG0CIIgDhs2NDs7ixDap0/P/I6drxlz2aKFC0deejmCcPeu7St/XY0R7N+vT35+R0mha9atoYBuWL82OTE+Pjmxsqz4p/mLVFXp1q1rl27dEeKqKyu3bducEJ/w++YtPbr38LhdbdvmrF+/ft/+w/kd2nbr1nXN6rWFRcVt27bp17+/ItP+/XrzAsdz3PGi46IgHDhw8NDBgy1apvXufR5lbNiw84cM6We1ipWVVZBRVVU2bNhoc9h7dusmWu0AQIRBWWnZgX37c3JaRUVFSQqIjo4ilHIcRghRBhCkXrfr0NFjvftSHiOLxQIYILJ8+NBBhFCLtHQsChBARZYJIaVVVRxGCQnxjCFVVWWfbIuyBQIqjKjqlp07r7/xxjffeINSWlVRwfMi1M4JGPDLWTAIGKAqxJjp5EgMMKpq/h9GVAWsxumSZVVjKjPGoRljXq+PECIrsoZniiLzPAcQBnU2p8BOSwihVGMwQxAxwIiqchxHKQMQElX94osvHnvscavF6vF6FVXlMKeqxBAJ0j01zVsKLHLK/L4qBBghSum0777r2/+C1/7vvzltczTIQAjpK0IXMPDHcaCfz4lSqgRyJf45TyhhVOB5SmkddRQ9KEYpQpBSBgBEEJu6CbA/BIMCIrDEVePiBZ7jOUVR/GHU2o1NGy7/0qz1yBjT+CIAZYRQBhjy2+OYUCpJEmCQ4zjGiCAKECIIuQDqsd27961es54xZtTfpZQCyBDCumOnuWOBK9ZKmOgGMIJYA756efNVVRUEwVjHYRwmk2yKbhv/iR4QQtjj9vp8PowxgAxhrIUwunfL79y504YNm0ZeevniRQvuu/9Be0ycxSK+9trrTz728MjLr5o+/TuPx/3G2+/27TuwqKjwtltuqfIQzHNuZ/XY66565ZVX165bO/722xgUamqqXnnxlQkT3rZZBbdHUQiVJXeP7l32HTjKCWJVeekXX3zer9/5jz36aGpayoT3Jz777+c2bNxQXe3EGNdUV951xx3PvvDCV19M+3rK18uWLn/11Vd/Wba4qsYty6qs+EZdctG7Ez7kBOG7b7994cVXvF5fUrwjM6OlLTpx6jfTEMIqIYQQjDlJUp577vmiE0WfffYZVVmPXj0lWb5yzOiTJWWqovTv0/vLKZMdUdFHD+57+l/Prlm3ASM4bPD5r735TlJKqiBCzWHxur2Awfvvu2/rlq07duw4sO/AlClTflvxy9vvfXDwyOGMzMw7br/l6muuRYjzuN0T358wc8bM8uqqcTff9MQTT1ms1r07t736n/9s2rJNsIiXXzTkiSefxRYbCsRHtRmiKITDmAHq8XgYY5jjCCEnCwvefe+9rdu25uTmPvbII61z29ZUu95//712uTkz58zZt39/n969X3ju+cTkZADYut9+/Wb691RVxl539dpNm28Ye90vv6w4WnDs6ymTk5NTJZ/EKFk4f/7yFcs5zI0de92AgecTxgAALo/bERWlh4eKi08s/nnJocOHO3XscPHFwzleXLJkyYni4rjYWI/TyXMcxliWFMhBiCEAQPJ6Cw8emLdosdvn6dqp49DBgyxRcdoiRggJAeZHStSK8oqdO3ft3rN76JAhrXNyGAWMkRMFRwqOl4ii2K5dO04QMIePHyuwWCzl5SVHDx+LiY/v2KEDJ1pFUSAqPXzoYGHh8cTExNy2uYJFhAx43M4D2w9hjONjHNnZWQq1VVRUxMbGiBZRW8OV5WWCIFisVp/HW3yyiDCQkpLqiIqigGGEIIAIIi1twgDzuD2yzy3LSo3TFRMTnZyaXFlRVVlZER3lSEhMAhDeeef42267BUAg+SQAmOTzSrIaFxenKCrPg/KK8tiYWC046PN5fV5fdHS0IAhaqEWRJcxxVVVVMdGxXChFoToft9ttIiUz/uB2u/VMHjV8/kReKUmSa6pdUyd/k5KSum/vfu3mVVVVFOXGG2664oorTp4oHjxo0COPPOl2S9XVrg8mfpLdKvvA3gPLl69KTk7esWN3ZaVzzFVjLht5VUlxlU8mM2fOTUpK3r5t5/8++8JqtT32xHMrV64+crggPa3F0KEXHy8sPnjgaPv2nbr16HPkWFF5efUll4waNWpUVWX1mDFX3zLudrfLe901Y/M7dt2+c29VteuBBx/Nyszau2ffKy+92rlzF2eN556774mNjZs89Yey8qr33p9ks9n/+H3zwf0HWmVmPfnEs4cOHvn448+jo2MvueQyj8enKKokybIsezy+qkrnzh27c3Jyx99x55EjxxYt/Nlisd137+PrNmya+OHnUVGxq39dJXm9F/Tve/GFI+fNmz9n9k/9zuv3yEMPKbIqSZKqqoqsyJIkeaVlS1Z069Zz9OgrV/yycsfmzbnZ2TfdePuPM2f/55X/S4hNmD9zptftvufOO1u0yPxu+ozvpn+fmZn18AMP7dm5u32bNg/f/9DXX019840JqYnJb7/+usflvXDoRQ8+8KA28oSozhqXIiuST16+7BcE4YH9B0qKijrl5fXs3u+++5/uN2BE1w4ddm3eXFpclt+hY1JC0rXXjb311jtiY+IeeeABn1davnBBSkL8RRdddOXoK9NT021W64wfZj7wwENWm7VX794zZ8z6zyuvJiUl5ea0G3PV2G7d+7XNyd2/a1/JiTI1ED7weryqou7ctr1H9255efkjRlzeMjP32quvKSspufGGcfHxibm5be8ef5fb5ZFlWZZVjbrU55VmfTs1Oz19QN/zhwweHh8T+9jdd3vdHv9M9xPjMUrIH+tWd+/cMb9D565duiUmJM6dPdtT437u3/9OjI/Ly23XIr3l+QMHHNq9y+v2Xjfmmk4d81OTklpnZom8cPf48bIsV5ZXjLvpJofdkdM6z2FzvPriS26nc/6MGa0yMiyiReAtiXEJr73yYmV55eCBgyZ9MFG7/r49e1pnZv264rfDBw/eevNNsVFRGOO2ObkL5v1ECVEURZIkRVEURVFVVZbl22+59earR3fIy7NZ7Tk5OR9//EHb3DaiIGakpS1ZMJcS8swzz4wZcxVRySsvv3TdmFGd8/MT4hPmzpnXrWvXO26/PTUl9YH7H6wqOXHv3Xd3zO+YlJh0ycUXb1y7RpaV9es2XDFyxH1335makvruO+9R0gAIIIvFYgqGq6qqB5kEQTBWB5j67v6UD8dhm82CMdasXEVWtdg+JUyRJVG0FJ04sXHTpk0b1j7z1BMvvfj8H5vW1ThrCouO+zweSZKJStyumjVr13I8e/ut/770/L/Wr/0VQVB49BhCKCYm+pabxnbv1jUmNooBNvKSEVHR9pTUpC6dO3Xu0CEuJsoi8K1bZ1VX10AEvV4PRkiWJJWQdnk5rVtlchiOvuKysrIyQijHcZLkU1UZANiuXYcRFw2JclgHXTCQ47jjRUXrN26kDDz44H3pLVJvuun6oUOHQAA47LcAEESiKFhtYmpqqs1my2mTk5aWSgkQBP7xxx/q1aP7jddfk5ub+/PiZQcPHtqxe8/4O27t0qVT507548ePX7x4icfj8UdqAKMUMAb69utjEflWWdnn9e3z/Q/fWx2O9957e9Soyx57/LGhwy6e8OGkfXv3TZn2zRtvvHHVmNFXXnnVyy/9p227ThCjy6+89tkXXhgx/OKxY69s3yl/7/4DlFGMkUbzqEUurFYRYYQ5DCG0O6IYAzNnz3HLZPr0qW++9uLsWdMI5n6cO0/LI9x407jPP/v8o48+HHfzrb+tXSdJvvc/+njQsOEzZ86aPHnqY088zQDkef7FF18QBcu1V1838tJLMMYcx/3vf59/O33KtClfFBYe37FjV3Ssg6pEiyMgjCSv9M7b78gKXbRo8dy5s6ZP/3bJsuVTpk6b9NGHnTt1HnTBoA8mTbRYRYz99M+auN+7kz655a77Fixc+OOPMx969ImFK1e63G5N8oJRChjVmOsff+KZ6IS0FStXLlm69IILhr7z7oRNG9ZO/PCjRx57bu36devWrXO7vS+8+KLH5YIcLiur+Pb7H1ev23jvfQ/+OHeex+mdN2fe0mW/LFywZN36te++N+HNdyfs2rX37fcn9T9/yN69+w4c3D/m2rGffDFZktU+/fr/OPtHn9cLAJg2bZpoc2S2yvpg4sSNf2xbsHDx3r37hl9yyfg77ygtLcMI8TyvPQwhRPLJLpdz/ebdH3z4+ZrVmyBATz79wpP/enHlmg0tsrLfnfChqqqHDh06cOAgZezAwcPzf17avnOv28bfFRsbt3vP3mUr1txy6/iBA89/5onH586Ze/e9D/8wb6nELPfcdbfP5yopKVm+8re1G7ffdNPt3Xv0hrUaD6EDnpwpb68FSvR/mgoimpFkockfWVIoI4oqixYRcxhhyHEcYMDjdm7bvu2mm8a5XG5VIaJFLDpZpGksDRx4gc3uqKioAIxhBLxen6qqBcePy4qCMWSU9ejZGwuCI9oBAEQc0nKuVquV5zmLRfR6fLIsx8fHWUQBaHKCgEk+yeeVIES8IPA8hxBQFdlqs0IAVVV1udw+n08UREqYoqo2q0UQeVWlVn9kDpQWl4uiyHEIAIQhTE5KOnr0mF+mE2qihYDnOYggpbS6uhowIFp4i0V0OKyUEkooBMztcq1bt54xePvt4xVVUlWKOSzwfEVphcUiAgg5DquqjCCGDPI8jxHiMLdrz/5WWdl2m4UyxvOoT59eX371xeGjBbwgtstryxhDGF039moOY0nyXTp88CMPPXDo0MFDhw76FDU5KVmWZEmWJZ+sJbYVWSVEZQxwPIcxUhQZY7R/3z6fz3PbreMwRpwglJeXb/p9M2QMQpCamiyKAoQgISHO6/FVVdXs2r3nuWefJwpFCFx22ch33nmjpLhEVYiqqlFRUZQyoipxcfG5ubmSz5eQEJ+Wni7LEgBAlRUtjaqFnA8cOjRq1OWZGakQwe5dO/bu3WvN6jV33XUXx+PY2Fj/3EYIBFx4u922YP6iw4cOzp036+jRo/Pnz6l2Ok8Wn4yNi9UZ8Bml5WVlv2/b+vVXU6Oj7ACyDyZ+4PXJM6ZPy8zIePDBuzGGHOauuebaN954/fmaaqfL2b9v/969ewkCd/lll02ZOhkiuHXHtl69e3Xq1BEhcMUVV7TKbvX/zV15dFXVud/DOedOyU0CYQpJyqggIFIUK+KABlFq1cWsKLb1Ka9CqaK24ntVqlVBHJA60Ao8sS2KTA7LCgpaFRBRbKUasYAyJSEJme5whj2+P/bN4eScey9p8S0ff8Fa9172+c63v/n7/QYNHrTkd0tLiosPH/r6SE1tXc0hy7IIsadMn/aH55Z9ufer004/fePGV3545VXhkLFq1arLJ0w4Vl93rKHu+yNGrF+/7sMd26++5mrZjhkgBI/GInV1dWMuGvP9EcNC4fCY888/UlMzc8Z0rOEbb7jhmWXP2rYTj8cpcSCEsVjB4DOGPfeHp3Rd/+rLvZzxBx747dQpV9fXH5s9e9Y999x7y803csGXPL5wzOgfvL1pc0nXHrZDly179uyRw9X/yAXPuSIf3CH0b6xD6MUu+bZIzE7ljxHSzTQzTYszoiGkaGvNVPrV9S8fP9503ugLKisqevTsef20KdOvnwkR3Ldv38qVq3qXlR0+fKigsEAzDAhwyAhNnzJl9pw5mq411Nc/ufR3vXv1rq+vgxCFQ2HD0B3LaUeTFoah6To2DEMNupiWpeodRigEoFCt0O7du4fCYQghxkhKWVAQ1Q2dUIIQDBkh5dVDIaOd5EXEiwot22aMYgw5563NTYpfJtMSwu1DXBJIKQrjhQghxrht2bbtYIxDIT0cDulGqLy8siBWsHbNy+V9KtNpCwCWSqbLynshjFSBECMEAbAZpYxCBDkXmm6k0mniMAMgKZllJQAAPbr1Io6daGlRNKy1R2uajjW0JppmzJhxUdXls26dc9aIs34+Z46uG5RQ27JKSoozaP0wg24DJTBTKUYZIVTXDazhSy+rQghJIUeNGjVkyNBkKs2FMIyQ6rtruq4ZugQAYywBj0QNAEAkpGsYdS3tGo1FEEK6oesarqyoVNg0UgIpBWMsbVuWaRXECzK07RAJwW3HLo7HhZAIAg2j3r3KGpuOCyEhAMlkktgkHA2rVrVyk5SQ5555atGjjxV1LR193ugB/Qfs33+AEgYhcmdAIISMCdM040UFqiEVi4ZKuxYfPHKoe/duho4hghhrQ4cMsWw7mUxirBnhkGFgIXjaTA0c2N80rX37D5x2Wn+MYTgSihVGx469EEjw0Y5tjz/xRCpthsKhAQMGCiEwwn0qK4YOOXPNSy9dcMGYmtraq350ZXNLsxBi05tv7vzwQ84BQtAwwolkWgIohOCMI4QMI8S5OHjkyLCzRoQjYcuyjZARChkq7zAtEwDAGW9pbjFNG0JIiFNYUBgyDBXiCSkG9q/AGNmW3ZZIjTr7HISgkPD0Af27dO362Z7qS6vKpOTlZd0BkBgjCSQhJBwO54gtIPKNLbkjpF4kEe8Gync+okIo03UjEom0JVOz/nPWrbNumnHdtVdMuOKWW+dOnDzj7HNGdu/ZY8rU6x559PE1q/+4fu2aWbNuee/998PhsKGHk8n08uV/INSZ+eObHl606PmVK9547ZX58+9+4YUXVPNDSqFpmqZh3dAoIVIIKaFlO+o+M841jGOxAgixpmFCHCEEZxQA0NLSqpg0MMYQIdO0OeeahjmXjHCYYcMUmckoAKuqLte1yKOLF37y8Sfr1r64dctbUgLOZTKZQhC5I1sY43Ao+s2BA8m2NkZZOByWgKv552gsqhv6oMFnMCY2bVhdHC+orOj5xOLFs2fPzTSPMBJCIIyRhjBGCCFN0zQd/+C883bv/uTAvmoNyvqjh/76zruDBg/t0/d7/foN3LTpNUaI4PyO2257cNGil9ZuZBCvXLli6tQpjJADB/Zzzg1Dl0BGY1E1hK7odYyQEQob0ViBYjLq0+d0IeR11147f/49c2/92b691UeP1mCMCaFFRXF3uFnTtK4lJX369n/xxRcZZVLKVzasT7S1SSaIbUciYQAEo6y2rg5CEItGorGIFCCVSkajkWgsqmwTAIBxjjGORKOffLKLc8IZa21p/GT3x4MHDyWEcsGxpmmG7oJpKz906JuDTz719M/m/OLT3Z8se/bpgf36GIaukn1vk7SoqLiyok/1Pz7DGEohtm97f/q11/XqVf7l3q/MZFIKiTHcvv2Dnj16duvSXXBBCOVMYIxChpFoSwAAu5aUNtXVcU6FEG1Nx2+aecObb7x574L7xo2f8NGuj6urq6suGathjTIWjxdOmjTxg3e2rl+3ZtiZI0eOHFFQUCgBuGPevC+/+HLPZ3t2bXv/8UcWVV16qZSSUS7bMwkgpa7ruqZpGBfGYxBhSonqGjuEhEIhIxwqjBeWlpYq6kWQGeHLzPXZtg0g5FwwRpuaG6WUCMDWthbHsct6V5imKcGJkggAIByO5KyBQKBRSpWIFcWR1774ZtVVWvSd7/tQhzImBg8eNu6yKzl16uoTEKPh3x89/9cPjBl9bjikcS7m3X573759lzy9LJFoverqiTf99KZQODxy1DmTJk97/fU3rr5q4i9/eUeXbj0ffeIxxzbHjLlo/fqNA0/vu/ef1T169kYIMSYY5/369dd0Q3AOJCgu7lLavRcAwCFOzx4940VdMMb9+w+MhCOOQyPRgvLy3hBBxgQlsmvXbrquFRTES0t7IIy6dS89WlugYU3XsRAiFouFwtHSbiWrXvjjvHlzN776RmVln94V34tGwggjSJHjECNkICSFELqhnTPqB8//z3M61sZffqWm6whiZdaTyZSGca9e3R5+eNFDD93//IbXAQC6bjy5dBnWMGeifflAAgCxphmGoSKv6669btfOXZf/8Efnjxq1p/rz4i7dl61YVFJSPHPmTxY/unDnR39vaGpIp62nn1rGOXvtjTcuuvCivn377f50twSotbWFA4mwVltzDAKk6zojNgSwoba+MB63bQdIaOj6tGkT165/adq0ay+9ZOzHOz44fKzp7nvuhwCGwxHLdFRCCiS0TJtS9qtfzv/JT2eOr6qq7NN389ubHEIKi+KE8lisaPHix2JGJJVKG0YolbIL44WRWCRWEKdUjdsjdxAxFDZmz73z9rmz77xtblXVuFXPr2o63jJp0tRINOyNvk+MpUoQihQgI/TNN//826cfb9u244U/rSaEMk5xR/7zwnjskkurFj68sGtRUVlF+a/uvmfMBWPHjbtixYrlt91++1133nHg6282btg4fvyErqVdotGoSsQSralkMtXU3AwgvOqaSffdO3/5smfGjx+3/d23N7/93sQpNwgJiosKEm2tez///PfLnmGcAikpoWMvvvjRxY/sO3z4oQcfE1x0KS29/Iofbli37pLzR3Uv77f0d0tffnnd1i3v9CzrqemYMWbbTigckkDG4/H6hgYmOAKQEhIKhRHCCEHbthJtbZTSZDLZ0tqKIWaEQ4gAhBhhCICm4Vg0BgDoVV529tmjlzyxZOQ5IwsLCp995hnH5qPOHdVQf0wICSDypC8AgNxLSb6ejhqAcRzHLc0G2We+29ZPKmWmUmlCKaHU5b7hnDPGbNs20yYhlBBCKLMsYpqWZVqUUtO0TNN2HEIpU+enlDY1J1qaU5Qwt35OKbctQgghhFqmbdvEthxKWWsimUpbyjM7DkkmTC6EZdqWZRNCWtsSqbTFGLUsy0xb9fWNqXQ6lTRrj9an01Z9/fGGhmZiE0poOm0e2P91W1vy4NcHVyxfcbyxuba28dixprOGD//1f92bTlqJRIoQyjhjjKXSacuyW9pSW7e+u3/fgZqjx3bs2GlbjjrGtm3bDx06wihzHHpg/8E1a9au37ChseE4o5xz7liO4xDva922bXt1dbWU0nGcVMLcuuXd5c+tfP21v7S1JhybcMYJYdu27/ntA48sfuSxLz6vti3HIfTDXZ89+NuHlz27vPqLr3bv3vPnP7+UTpkvr9m4Y/tHnHNGaaK5LdGSSCXTpmkdOXz0scVL6mqOMcoaGpoXPbL0mmsm/2bBgwf2H2SUNR9vvf+BhR+8t0sd6Z0t7/1mwYOptnRzY8tnf98zZ/bPH7h/4ZIlS2Ox2BdfVFum/dqrW6ZMvm7571du+svbDz+0OJ02hRCJRGrOnNs+3f2ZGkpU7RvHcThnhLJt23dNmjylqmrcr+998MMP/67keNddv1q69GniENu2KaGcM0qo4MKxyauvv3X2yFHDhg6fOHHaH/+09txzR7//1+2uwrvadfDQ4Zt+ekssWlBQUDh9+g319Y0Ooe+9t/3isVW9y/sOOWP4L+bOa2lJmGnz5ptvmXn9Txhl6aT51uatQ4aOSLSlW5PWkiefLS/vaxjhAQNOW/3iutaWxLx5d5d06WUY+uBBQ+68696ysvLNmzYTh6RT5sSJUwcNOqOu9lg6ZTqWs2/f1xMmXBONFBYXdynrXbFo4RIzbTPKKGFKtznnlmlVVva5/bY7LNNijF0/48YrLp/AKBNC3HfvfaefNqStte3GG3985vCzBBc3/8esqqrLCCFCiNraut69Kz7etZsxxgXfvuNvAweeUVb2vREjzulS0m3BgiXptP3mm5t1LXLwmyNKJowx07RyWwBxAqYo1zpyLqT47yoDUpgGWcZ822lB248qlB9zAZBc6AMv6IkK3xhjmoa9dWhP2Siz+SK4UPx17k5nx3K1bJ9oah8XksLdcPPsGWYmx/fu3X/x2LHjL7tk/LhxO3fsWPfKG6tXr77wwvPcn/VuvgTXV8GJeSKpuHilzKwyQZgh6/Yuh2To+AL1eneZrSPLKvCs00B3wKm9qCGhB69VCSojZCndCmgHlk+HhsMhiJC7NtU+qyY54TNn/riivNt/37cAY+P+3yz484tr/rFnT1FRIeMCY4QQpJSqV6kmOIUQak40uCCjfB1xHCMUQu4xhFSPqaq5EggpXd0GtmWrES0jpBObSAjDYQMACSFyh7OEkJzzxoZGhGFJSRcEIUQQYUQpb25JRsOhWDSMNORYlDFCKY/FwrqhCymbmhLFRTGMEaW8sTkhqFlcXFxUFKeESoDr6pt1TOLxuKFHjh6tjYRDRSWFsVi0rTVhO3ZxUbFuaErxbId8feCQlLy8oqyoqAgjxBgjhGKMjJChJFBTU4cR7t6jG0KotuYY46SysgJC2Nraeqz2eP8B/Vpam1pa204bOKC2ti6dTg8Y2B9B4Dj000//duawoZFoRGnB8ePNO3fubm5puuTSi3v17IEgaGg8/tVXB845+yzD0N1J11xBihAcBosmncT7+666Py43rZuIeddSXT3wLQEHLWNWbgc1Gxrksg0uenk/oGp+7lypUmXV4Xaptn0QtkKCzZu3PLlk6fHGxi5du989/56LLhzV3pToMLucKUN6IFd8R3KhMYLr/y4mXhA7qqPdzInL6UOoy7UlHDyhkqdKqH0NAg/ZgAASbX7rnalTJ/ftUxGJRJvbrLvvvueGGZM1DQWVzXUPnQS+y4UO4QUY9SGJ5OdscbexvGcghGiaBiFkjOu6DkBmwB+iDhJTr8mVUvtamVpyat9jgDIre2l+UJVc/KcnxXbxugRV98iDfdW+ao9OhiAps9iUk7LGfLfcJSpydq+9d63Wd2/dbZo85iDPOkLQmgSXR6UUnVwH9264uGejlDHKNF3HOAsiiWuqvHQ2vgXxrJxEQaAW3+G98wHqSF6rlFVQufCKfKIL0pXkufmZ55KypqZ2y1tbKCUTrryqrKxHOyuhH7/OvYreH1dyIIR4x8GzLvv6FNj9EQWGEASgCGJ9BNEqfHBKCOGOIA9ZNMpHS+RRY3d52P/geTQqSNqZn/nANYu5kAxPSjKVFWf6xOclyElhcVKEnu/KpqhCo5KLa1yCz+YlBvLJTqHpqLau7475sOO8jiIrtpsv/GlPvzqEQp1BKlb5RSbJ8qDS+ZJNH9qbitfyXPus4ac323U7fb56vJdFIIg84jNtwcfMypTe8YZnFpcDmx8uKITMBYfeScA330MFY1Jv/p41TPMezxtleCF7VITis6eUMg3jzPqM51m8sKS5fEBnGPJOBcCsk5t9nURKyhLbSvD/CLftXzVqubQql3/uWEPpUA8KStxxHBW0Z30HXm3wlmm8C5l5cih/EJEViCLwUOr2unrspoHBjMa1FFkDkKzePhcSpfecWaFz8oDF5zYoJ4gJpQfHRXU3FYAAF9wXZv57Li0XvGZWU5Lr6uZBpfXFaEEnFIyPIISUUu9b88BC5aTTDEII/R+RB+WBMe8k0O8p2ZRcGM7Bj7kXL0/UcwJZlnHBuQRA0zVVpMgwdXcMQ3JhvrpCcQsuPsuSqdUF0LCzRra+iCC4QulNSWzbwQgbGRCm7Li5wenB/Ox8rnkKapIvifCFD8EaQa6ny3P9vOLK5fCzWqhcOabvM+rrqiF6Agwum0R8iK2dBMcOHinXSn0uCD4VF2flOfBFFt5022u486SNnuO5ce7Jx0o7w4JyKjjnp0Kx8m3yJecC7wteTter+zywe13dC5x1xM618V62DTdcV667fVw1+7tx3btPO3MFpT7/nDXG8XgP5LKdduifABi09Aq0DQKpgGyCAvRiOGYtm3kNlq/GFIyt8scj3lQ/q7XKk3R40XB99jpYxWg/jwQSue05NWqs1ix8mCa+LlIw8uo8L0+e65ELmDo/eHAusPRcvALeb4kMJJiCXZCMnRh47ySV8L/q/k/xk+7aX7v+iywoKvJbtSlZa0u+u+3VWheKxauLPqBZN1R2/+qmpm7Kl9VV+poaQQiY/CCmXg980jpF8IpSSlV5tR0ILIOL4Z0b7NAB9ZANedRRZsgis7msjsCoWejKgnYhf00u6Hg7g+Tukhbkugy5iN+yJpLe++ZGmp2hs8qVyGTdOMkVzJ+UmC1rNTQPU00umxX8looHvZWsU2+t+oyaj4vGl6d/a/PxneE27fzR3YvtjdK9QXjWwntWYq2ARp7QCkqpKwLHcVxIZC/2tRfb3VVQb41W/Yga4HEtlO88atpSCOFC2ecPlTsuT2vtNV8kpSo9drhXvoTI7Terk7Q/BfSCwnq3w7Nm1EHK16wpt1dKQbA1zzsSbqMxTwPOi8CeFQPQdRgubHjQvbuuxfutXAFarn5c0L570Rvz5MgeiL+TFSB96pHDs3qnQ3MFmEHfEJz3/RbLjvmLRN8iUr+EeW3Kv41p4DW0uciTvJVwNcoRDC4ghIrknHPOeeYOePl61Lq31wm4zVdfU9OboWiapmfQuqCKdLyH9FHqqEE1NQAefA5vNdSbWAkhIMTtaP7Sy37g1TkvP7T6p6q/ehcjvP+RL6zzHcYb6fgilKwq5Q1efHQW7ZC0QG0JZdVLJeog53TW1mkuZ+ido5G50a3zKL0bdXq7eJ3k9/H2obwCCZoDdyI5aD58L8h7Wu/DuurkLXi5HjGYKJ1iodPrNjrTO/u2bAoE4H8Bn0kcl45w4MUAAAAASUVORK5CYII=)
PROCEDURE
1. Choose a distant object like a tree or the sun to at as an object for our experiment.
2. Mount the concave mirror in a mirror holder.
3. Adjust the concave mirror in such a way that the rays of light coming from the tree fall directly on its reflecting surface.
4. Measure the horizontal distance between the wall and the centre of a concave mirror with the help of a meter scale.
5. Repeat the experiment by selecting the different distant objects at different distances to measure the focal length of the concave mirror.
OBSERVATION AND CALCULATION
![](data:image/png;base64,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)
Mean Focal length
= 18 cm
RESULT
The approximate focal length of the given concave mirror is 18 cm as determined by the above method.
According to the sign conventions, the focal length of a concave mirror is negative. Therefore,
f = - 18 cm
PRECAUTIONS
1. The mirror should be placed vertically in the lens holder.
2. There should not be any obstacle in the path of rays of light incident on the concave mirror
3. The meter scale must be correctly positioned between the wall and centre of the concave mirror.
AIM
To Determine the focal length of the concave mirror by obtaining the image of a distant object.
Answer:
MATERIALS REQUIRED
A concave mirror, a metre scale, a mirror holder.
THEORY
1. A spherical mirror whose reflecting surface is curved inwards, i.e., faces towards the centre of the sphere is called a concave mirror.
2. It obeys the law of the reflection of light like a plane mirror.
3. Thus, the parallel beam of a ray of light coming from a distant object, such as the sun or a building can be considered as parallel.
4. When the parallel ray is incident on the reflecting surface of a mirror, then after reflection, the rays converge at a point, and this point is called principal focus of the concave mirror as shown in the figure.
5. since the image formed by the mirror is real so that it can be obtained on the screen.
6. The distance between the pole O and principal focus F of a concave mirror is called the focal length of the mirror. It is equal to half the radius of curvature of the mirror.
PROCEDURE
1. Choose a distant object like a tree or the sun to at as an object for our experiment.
2. Mount the concave mirror in a mirror holder.
3. Adjust the concave mirror in such a way that the rays of light coming from the tree fall directly on its reflecting surface.
4. Measure the horizontal distance between the wall and the centre of a concave mirror with the help of a meter scale.
5. Repeat the experiment by selecting the different distant objects at different distances to measure the focal length of the concave mirror.
OBSERVATION AND CALCULATION
Mean Focal length = 18 cm
RESULT
The approximate focal length of the given concave mirror is 18 cm as determined by the above method.
According to the sign conventions, the focal length of a concave mirror is negative. Therefore,
f = - 18 cm
PRECAUTIONS
1. The mirror should be placed vertically in the lens holder.
2. There should not be any obstacle in the path of rays of light incident on the concave mirror
3. The meter scale must be correctly positioned between the wall and centre of the concave mirror.
Lab Experiment 10b
Question 1.AIM
To determine the focal length of a convex lens by obtaining the image of a distant object.
Answer:MATERIALS REQUIRED
A convex lens, a lens holder, a white screen such as a wall or white painted board, meter scale, distant object.
THEORY
1. A ray of light passing through the first principal focus or appearing to meet at it emerges parallel to the principal axis after refraction.
2. Convex lens converges the incident parallel beam of light on the other side of the lens.
3. T image formed by the convex lens may be real or virtual, inverted or erect, diminished, the same size or magnified depending on the various positions of the object.
4. Focal length for the convex lens is positive while it is negative for the concave lens.
5. The lens behaves like a plane glass plate when it is kept in a medium whose refractive index is equal to that of the lens.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAX8AAACkCAYAAAB/yi4/AAAAAXNSR0IArs4c6QAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAHrnSURBVHhe7Z0JnB1Vlf+rKy+dTtg6LAqCGhRxwSU4M+4LODi4oaCCuI06Ov8ZZ8Zx5j8O48SYmNgTFXdwX8blr8iA4oKiqEhAwBUIKoIoEhhEQTCBQBLCS/X/+z11X/Neb++93tKh634+1e91vVu3bp2699xzfme5tVWrVmVVqShQUaCiQEWBuUWB2tx63OppKwpUFKgoUFFAClTMf46Ng5UrV76HR35weuxlaH6XzTESVI9bUaCiQMX85+QYOJKnflh68pP4rJj/nBwG1UPPdQpUkv/cGwGbmh65Pvcev3riigIVBSrYpxoDFQUqClQUmKMUqCT/Ofriq8euKFBRYG5ToGL+c/v9V09fUaCiwBylQMX85+iLrx67okBFgblNgYr5z+33Xz19RYGKAnOUAhXzn6MvvnrsigIVBeY2BSrmP7fff/X0FQUqCsxRClTMf46++OqxKwpUFJjbFKiY/9x+/9XTVxSoKDBHKVAx/zn64qvHrihQUWBuU6Bi/nP7/VdPX1GgosAcpUDF/Ofoi0+PPTi3H796+ooCc5cCFfOfu+/eJ79zbj9+9fQVBeYuBSrmP/fefd70yP9Ffv/f8X+7cdBDnfeS+/8Hc49c1RNXFLhnUqBl0q9cueLgLKvvxaNuv2c+7s76VLWCnsOAT1/I+7kry3YjFfNuvKPFfHrcV/jmmlWrVm/t4AnnNdV5agf1G1W+zpeK+XdBsKpqRYHZQgF4+6Ppy3p4xJ8afRom8RV/nmX5IfzYCROZLc81F/oB8z/r0KOOWvKCAw98QLZt27aspycv8rxW7+tbuP2qq35WnHnm7y7iBX8SYnyNF7xlHKK8lN92nQDRrp7ANdUlFQUqCswwBeADCnj3zbLiSfBzmf6z+I7wlg80d6WF+a9aNXDKDPezul2HFHj3u1e++61vvSB71KN2hfnfwVWDwje9vb1Z9tvf1rPLLnvDbddd90zhmbeuXLmc3bnyL462CADdXNnhLatqFQUqCuwEFIDZ34tuehwOk38An0/juD88YI+y+wU79uX/Dj9ocfBoh/XuBI9+z+8iuHzPk570pMfsu+9B2c03b8q2b78blcvzO7I993xA9uAH3/shr3716lMZCGdDEaT74h18P5fvX+WlCxtVpaJARYF7GAWY47sBBf8jZjuk/AzUJr936yMWb0KoXzPaY1fMf+cYDAcsWbLk0bvvvnu2aVPzLoyw+KLIFi5ciEbwZw9hkXj4qlXZL3ikDzAo7sOvx/P9fXz/BguAi0JVKgpUFLgHUYB5LUNg6q8A5sleCyLwAsyD2G4zBL7in2H8HxzrcSvmv3MMhIMf+9jHLsrzPBscHOma77lDDz1UnM/VX+afMShu4OM9DIolfL4AKOiZSAVf5/x3d45HrnpZUaCiQDsKML+V9I+D0TPPiy+iAezDAgDz73kFjP9z411fMf921J0Fv9dqtb98wAMe0AL3NHdry5Yt2dKlS7P73Oc+j+H8R5p/g9mv5/93r1y57CEw/xcyWI5ATfzmqlVrzpsFj1Z1oaJARYEJUIB5jFdmIdN/KJczl/MPc2AHHORz8IWrVr31S+2arZh/Owrt4N/F+w855JAHPfzhD89k8qMVbQD3vve9s4c+9KFPpP48jLojXHVh9hp6Bxg0j2SQHIsmwCKQaw/46Q5+xOr2FQUqCnRIgZUrX7dLlu2BTW8787gH1+v8DczhbV6OgPcgJP9Xw/gv7qS5ivl3QqUdW2fhfvvt90Tx/rvuwsV/lCLz33PPPTMWiAPOOecc8b4rxuoyA+Vn/PYzBsqflZrAsmMYMKdy/uc79jGru1cUqCgwFgVWrnxZX5YteT6S/mOZt0K7GHJX39pcHwHv191QsGL+3VBrx9S9zxFHPGbP/v5dsjvuuGXMHsyfX88e//iHL3r/+7NHjcf8Gw0wUJQOLob5P5EB9XI0gdsZVC4CV+2Yx6zuWlGgosBwCqCpz2d+IqBlj+fzNwhqq5mjYzOCMUhIO7qG79a8YAyP8CXIK8NgUJVZQgFE/fqRv/71oxZ8/et5dtttC+iWrvwjy4IFg9mNNz4V1O8fnsmL/jIvuaO8PSwCF9LahaUtoHg1iwDSRP4Frr9mltCg6kZFgTlJAebks5mTT+fhcd7I34YB96ZOCbFy5Ql4//TpAWTQLs4e2eXE7n6MzyFtYbjkrytJ5RPeKYWnv17PokW3P+hxj3tMduedW8KcgzFn1LvWyfpwn/vsmT3ykX9xxLp12QoGzi+peDZM/OZOupm8gL4L838OQ+D1XL+e605LXkOdNFHVqShQUWAKKMDc+0vmoIz/D1m27X2rVp3oXBy1UJeULxnOHIU+/gR1DRLo1bMf58D/G4L8IG7ePR+nnf9tbmRYhO/qjgwFU/B8VRMdUuALX/j8G4466h+yxYvvHBPzbzS1yy792ZlnnlFbt+77p2bZJ4F/6sth5uCA+VmdSvJIF19nQH2LwfRc2vV6ooW3fYmB09Ei0uFjVdUqClQUGEYBIFhybeWkYsiEYD/MnO0Ewz+A+kT05iwYGdf3LBrW7NsxAP/naMSuMP9ZPATx3Nnt5S9/+UN23XW/bOPGO/DxHx3yaTzCPDz9H/Wowwjz/rf+Vavu/zmY+OlJgnhtgnPOTAbfcZ+aOiSLy84wOIxPFoFeg0g0CP/PcCPTLCZf1bWKAjsFBcqkawXGXDHd4vMIYDpldFTSAoEr94p1XAu002OQ14FoACwgg39LWwiCo5eK+XdE4h1W6SGLFy/e3wQ+t9/Ou2xTjPZ92MMeZi1ze3w/4f5nJEb+FAbHi1gEXoSU8F1+M/VDu0VAu8HpDKyzuPZYvuMquvwnXH96m+Rx7Zqufq8oMOcpULpdy/QLPHlytOvVzK3OC9ebu+dIrie4s8BRo/hMls17Jeew1/W8FIl/3Cy8FfPvnNY7ouaBf/ZnfzavXlcQb1/uvPPO7KCDDkL6f5RGnpbCwDqfE+czYB7O53Ng4s/g80cMum/x2+bxWud3M8l9mmvPdAHheBvfv885NYnwMa5KRYGKAp1RgLkDHl+8mGN35t8ZzKGLOruyrFWmbsm0zRHglRO/kwPtrL6B8y9D2hcqej7/Yy8Yv1TMvx2FduDvpHM4lJw+WafM3ziAfffdN9t7772XgtPsSrDXCHWBQaGP8C8YKGCFhQPo7aXKmJn6YVxvguRi9iHq710O3kgfYc4gcwdVjgI7cKxUt579FMAD53544Lyk3DOl9h3mzLe76TVz7cHMu6M58MjM1cDfTBsxx/lNTPh6JP4jOdeaAGyMm1TMvxvqz3BdgraW7r///h0zf3P8zAP457r7E+yly+6YWBEDhIGSfYRB089g0si0DG1gPd9ZBNbgTzx2SR5EJ6cFBE1g8K/47j4C35lhElW3qygw6ylQSurFC+noAznwwFsDjNp5KWNxclw+Ax4yN9f3hgtb/K8b4NrOW22/fV83bVV1p5ACSO69z3nOs++7zz77ZFu3dr63jsz/QQ96EFn+s0M52vrqM2g2Uu8UBihJoQrww9rfpoAvpflL2iwCLiDmDVKNNXncX/Fp3qDvTSEpqqYqCuyUFEiYvBryIzjMv/NB5lRHuyRyLXPY+Zg9mQMhrgBijcDMSRU1hLRQtN27dVI3qi6eFAXutWTJXg/YffcFSPN3Q/KjJPVsuUlv77bs0Y8+CNfQTGxfY29HJWH3YPrZmQwQjcPPg5mbOOrb7Zh5CisXPtLazCKwwkFroNkPO7p5VamiwD2IAox/cuxrGzP/zjzsahn5dwbG211v6Om51m10hWOX8vlbFoyPMI/47K7QDrv1baUffXoQqTmY9FHbwtc5Ik/M8AhfV6g9x7jNcD/D0fwOPTfW+eHNjtZep/dobqvDexaj1IuoqYnc0+u8WFVLGppOuTn6ipDsxu8BhbPa59Qr0ubpubm2rW+9VBVXnbik4FyOhfexB19/fX3hhz6Uk8N/Eds2ppr5INk9e8jjX/7veYO/3N/Fc/Pm5dnmzQr9r32c0sNEDLJ3G4eXLaV1IoaXAwvlF9CoxuEx1RB+M7Dsl9xX17XjyoCx3ECxjl3Xxhh71emKArOeAox7A66AdwoZLVrzbeTfObkj/J1rl3ANbtUFbprZOubNQLKxjfvcCetnwhcmbFRLkIlgk8uwDyww2ItEcLnc4zQOF5KhBGHDMX9dhxrpHXQxSRuHD91flWX0ENOpeTXjO7JP6h5wzZF9936TfZ6xXHEa7Jr2C1lzei8uQrJpzw0tPJ5zgXABSH36xhMf85iXZQceuJ2cPttbmL8Mv6EBNJh/gzTz5m3HRtDLdU9+/IYNG/TPv5bfzueld719IxI9gzBbRxsOSKWRNTB0/P1z8f0x84skuOgSrnMSHM+neKd5g1wcqlJR4B5FgZIBh8umzJe9rvO3dMK4JQLXmovLudXPdUjm+cfGE7DGIJwiIPaAzHl6+N11ggXdSNuvQ/Mg5qe1DI/wVbqryiygwEknnfz8ZzzjWNw2tyHJt6bpGQ/66WE12HXX3bJzzz07u+SSz34+y765hJdvCmekklzMcG2nA7NBBuprO9DAq5fPURxv5Lt4vymh149FLn77Mb/9mLoOSJLHrVD1JYhlNROkKhUFdn4KpHQoRtdex/x6B2P79508FXPhMObREaUgmJ8Lc24bdzNau+L3tIUHXx3BPQfmzWUWunFbvsrhbl70bWSpvH06eVM7oM7BBz9+33vf+4HZhg13Icl3pxAtWDAfl8+H9GfZZ/ZncOhZcBZG2YMYGA64NzFgYdzFBUj2MueOC22Z4uFTDDalDJJFFf9EW3+iXd1Ex4R2+M2BfW4JH2X/WN4/NpgfdVB23KGqYkWBHUQB5hPeNzn5dyLp2ns7GcslLFTImJ/Ap/PGwK5LJ/oItEda9sI5vT9todlvg/kvMMWDsTcn0Pb7x2u7Yv4Tpfw0XgdWs/sRRxzx6F133bUrT59Gl7Zt2+bGLv6rATbcL5P75m9KL4I6gy9/Bt+P5qdfyZg7GbyN9pNa+mX+/zJtMNgicpiw8oJ21qwdizRIIGkhWi62+QauQQPYRsqIE9sGpEwjuaumKwp0TIHkdon2mxH4mH+UuTDm3hmNRpMR12u0qZJcLfL2dG3EtT1iBYjP6ZPh6/MPfl+Qlbf2Adq7s9yjw9QO2WH8P250r21VzL/j1z6jFXc58MAD99VtcyLFYC+3fcRN1I1dWgqDQqlABr2WQWmkIJ492f+BEaMu5moCaAQR0dtRoe55VDyPtjA4Zc9N0r3YpRlFR/VwYBH4GvXJG1SwYPSqiaC2xl4Ct3Z006pSRYEZpgCM1U1UdGDQRih02Xbzo2TEFSaVIbNIRFrmrhMk0o7J2kjhkGFD09ff9MzbWHhOFHptKjXtj89IGnpbClXMvy2JdkiF/dm6sTZ//vxRN2xv1yN39tpjjz2yAw444C/Gq8sgcZP3SPzEAFMqISdQcSTfxeTVBjo20CbYhx3CVhDFGJHDGIdXCAUZLzAicphzGrxPY1s6FoHFx1D/LSV2GcnjxgxOa/fs1e8VBaaSAjB95kWuwwJeMwX7XAy09bVnHOt9Y84dI3FJg5J/YixBaLy+0g6ae+GcdPHAccNtVwfGXHS4x2XdPHvF/Luh1szVfcqiRYvmGbE7kSLzJyFc9uAHP3ixwWKkeWibfydJMj9nwOEbnB3G8WIkcj5yB5RG4o4klgQfmQJCz7HnMXD/I2H8X+G3EUFnuMKpZZiB9CvUJfQ9eyv1f5rw0M6j2yZCqOqaigJjUIDxaODi8fysz74BVuayGreklMzm4nf3Ldyi16gVd1W4LwtGAZQaO/Jp7EMbzz/D3OnIZbSbm1XMvxtqzVBd9uvdxQRtYvcTKS4afX19wj4YgvT3zdqqqI37pEHWCPYCNiqEhWDgK8Dl6wSs1H6QpPZxu5YgnM9ynRNB4zBppVfcRhtGAI+QnpK0/zHq6FHEIlC8i+/mPlFz6CgqciK0qq6pKNBMAcYcUnZhcKNMWAZuOoUxS+n8ELttHcaBgJQb3NiVEbecIxmwUhiC1RZ0y/4s7XSSz7+jF8g9dqfiFtoc3c+fCuFWQoWJiZwddaOq1I4C++234H6HHLIkmz9/W7Zo0eivohH0ZVsqCM3/e27+/O1I/vsbdDJW0F67bjgOSBObXcW4UEggcMsNI4qj+V84yLTQbb110mD7GvXB+c1RUjMNxNG0c95oEytpGCdxDwNUSCNdkDxuOfcacEGqSkWBaaEA4+3eabwhLIW9ykjYMUsppGTi+di6CmDS2slcs76bziWbALBOHXgnd+E4h+OSboQd2sAAHLFZ/RxqKX5y5CmANH5DiyjC5sD3Pzb6OFzyfyk/PJAGmzmOUldzQNLw5xsteGo0jjWbz432DD5nuz67WKagrCGyGGHXdC4ieRv1UiXPRTBXsw9nCqir52zW/qwPfrAf6b03Araa0R+jefUMHs7w/b+5Xh9R3VdfjVNNthRj7pGL+bKu28HZeCKu05DU8Nl3MOGfnP09TBlYpiCFQ+1C6rQ1EjftF6xx+CjGmRKTKSCMHG4xDvO//tIuAtgQMr2J3K1ILWBcSWz44Kz+rygwHgUYX6RTUNLfThr0nrWMMaNgxwrc1DZmcjbhTIUTAx5BVQc2dkrlUgI33UIYb43mxy5WMyVzR7DqKPfBhTvDZjaIna3nAbQ3rMog2nbPf3D+U9yjJWBoOPPXfa+xYjQ30p2jeaeUGL3eTN5rss9oX4dT2/+bzukdsBW3HXNsNEp4DAyrFwsN534z/0lP+v0bjjlmPts23gnzL1qYui2UzL+VTI0FoXGHvr6cPX23Zp/+9EkH1OtHWpnN2VfoPqRKGmkYJqLhcY2Swxc8kOQxbOV6IZjVE4NUnQ1kIip43EIbGoI1DjNYhYQG38F3FxclriHJxEaSdvFOfsd3tXghiwALRkGEcWw8X5WKAhOiAOOJ3DeZ+Xf+HOYINj/v34Yzx+aGqS+zJnFhvZ8x/z2Ok8ZbJIZ3irnCfWKuKKlj+yqAh9ZMOu0JfdBrD0h2UC389TzLfdO9wYyLD+IVxMJy4giHC+sMj/BtK71NiNLVRR1TAAPtPo985Bv6li7ty/70pzuAczpD4IbDPr29PTD/XUjvfOUtxxyzOvnkL4PZ1kj4potl9hIYKYMwl1n/fLyBP1bnGbwuJJemifR42iIZXKRy0GtHWGhcaYbf9XX+INeoTbhhtWmlORdBYy3GYf7Xnxpj8AoktEJjtPmGTDNh4qyqVBToiAKMnwUKERx6wsF8572RMTSqizF1FdAQNurYvSISl72wB9r6zzc6gk/+vgh9QqVquvDWyI9F+oaBcTdPavcg9AvPozpQTs1Nm5bQPu2Z6nnQADKY/+D5LAI81/h9rQy+7Sg9878fumXL9r3cvAt3fcrEFKFt2+rZXnvtT46fR+3f8PiBWctsPfSzF+NEGtF/2HTMK5S4zfp3OZOhK88C6uuaaTDZdxJMg4SUncB3ohgjpuAn4+GYSdp3pzCNZ0YBAykts02lIxeSoUJdfJzdWN7oxrppK8C2cv2uO3ZLnflXWt1xR1OA8SKiYXChDgwENuarGTOOzxGFumLnMNLIhokvfa3j8VUuLhpv4z5oF4WRtwRhnUhw18QL7WpjkNmzaBX3ok+/c66Wc2Tg5jLieB6aePYPbN/44U7uVDH/Tqg0s3X2eOADH9jxBi7jdc08P1u2bNFlTFWwJZ8OA5+ET9k3vJ6BtQcfMFP3ACiOgaFuYNDjbpldNhyGaUeKBNN8gjYZW3W0gZr45vNpkwlXkGBuzZgeDFyraych6rF5vP7NSvioPuF1odQ0VKirx9DF1FMqI2+Q9ocIFDNiuSoVBYYowBhRIjYVA9pkwCCj5t9BUgfH76OeqZh7YKz5uxhPwwKpRics99An38Ru2AQKGHNsuvKjiUCrjTskQUpNV4bPQpIztutoHjXn5VAsTLmwFQRs9jye8x17CFXMf5ZNEjZr3/MRj3gEUv+QR9aEeqi7p8z/kY985IJvfetbpHQYuyS1Fxwz+16SkFwEWAzyx5e+/pn7hF5EPaWNjkrCQ/WN/n6CdWDS+V/TnurzT7JsA7EDJ48ZzMX1jf4spQ33HDa6UpVb4/CQ4YrvqLixN7HqNXaNWLgMFFPDqcocpkDKv6ObMZh4/p7hUGITk9WlWa0AmEab2LwV1N3YjnQEKCI07cG40xMusvRqt2LsdW4Abr4HY1g136h8mb19cq4gtBVfheELzeoUMlqpc8/PtOvv8N8r5t8txaa5Pkz7YfroTzTAq7l77AHslo6e0jOhbQ4SKzLAXHXCs8f/E8auD/IrEyzzGwYjC8HYEvxwEiXt4Uuc/xIT0nxDTJg9DqM9pSptAy3QTvP1/LaO/00rvYRPI4cxDi9ngobnz5BNge+4yWXn8Js5VP6ZTwzQ+SlJw5nmt1Y1P5sowFhBAi/wgMmFMs2jM6o0TD1xf2DG2B7RSNz3p/E/5uMkOwCCUUTe4imkNhFBWB1L3M2NlzBRXfdS+4yGrstn5P+xzRZtfaxOTVS7qJj/bBq19IW0DPeX+ReN3Vom2T+lf4p59ZWkuy4MLHFFDxeC+zMoH8dX4JgVfBSoz5EmWjfSsaSSlnuyaISnEdcbLv9UriduYDlBXRFJjLdQpJwYUTi/npMf4DriFrQLhHFYBk/05d1SvvEA1CGBXK4PtnWYlDlh+WPvP9A1UaoLZiUFSjuQbo8OxYIgqYF1wztaMu86rsq1w6ljPis2Uh9o6zlWCh/B8B9Cm9gKCgMe1YZb8613QJkEswIthdEZZ4eaiQ3VVM3yOWNJDivm38HLmskqj3rUw/fcd999kPzrsUNXt6XZ179evyvbf//9WFB201g06cLAhNmaYyQWAgatW8PJiHNgmRXALXUYeO2n1GvrzUAdPctSls/IB8TEyl5HO16L613mxBrhb805jXSmg/gfrlGlJ45hhW3pIaT3kdqLKvhXykVAz6b6CjQOoKva5/itK2P2pIlWNTDtFOA9k38n4z2HBE+q8AHtVS0FiAbMfLFCgwnadH3EiDswpsaZxrhJ1LQpYbsqhE4Z3/m7J6JNlvPFdnJVcY3PeBiF4OR8mbCXJe2a9G2QNkZNotggAvV0bd3aPKdamD8VsCJn0Vi6aJifofa4vi7ORf3UVOPa5nON+3iuuXiP5nONe452zja2JpeYob7Zx4abTNOzDK83anvNHfHa4b6W03jujfOPPfaAvWq13TTUtvj3K8APd+ccfk7G37xg3HnnnUT5PoT0zvfXoDulJUE5Goy/wbgxHxB2ghreQ4WpoplcdST82qWp3rj3po4+yp8uJ9wyFpRc+wBBYBqJ3ehipPqb1POvcYmeS3pWaKg+lvrCSKHl8Gl+DOIRVnydfhHIk63m+yV8KmG1XaCmlGBVY1NOAd7lg3ivL0tMHw1woMUpoBxP4dX2PMYjEnsBZBm598c14pbJ3GpopcIwGdptQV6qNWqmXZVSW8hcOIhRkaHlt9CPs2nbKN7hfKWrtpsq6+HzqgRhyc+bU6EY14OGHRvAM1fy9/NdR48owyT/gtwS+UFUFPeVlchAaaCh0ff5xRhTG2000WC0TfV69dDg2t7mc1zrHrZxrnlxSeci8InSiIjttW9N5+xLjXONenV/41rZ3ZA9M/Uv9tRNZSjClnONeo379zbJ1hF16/3TufguIRttNhr0XNPiEtU55/XDr3VbxpYgMOrZ/0a9aDK15/m/3+NnP1t3v/e8Z0G4eTaQH5m62Z0b0b2NjnjOOIBmhKg8VwaBlZBPX3bNNa9/4sqVf/0PPL+Szg0MPCbB1JUkTTcMr6aUYLDXVGn/kkEphikeejH12rq7pQ1m3P0LbSU/DCr8DUwdJh5SkrAQElNr4Vzj3qrSGof17jAhltqA0o7S/idps59PA3vcbF5V3zwsE0ugNHXkq1rqkgK8OzVF3mMGY4/F/lvDm6COhlNtRPvzyYJfc2vF28a6VfL0EQrSnVL+90Pa7iqhGvdkwul/H5ul430TvMMFxzw9UzrnGs9BuxdyX7Ta7N+Z9czxHgWx5rKWbryHPhhA2TLWW5g/K+dXunwPM1a9JGxzd4Ppyt0aEn5zX5rODdUb3tdRrruKc46ZRun4Wq6z7q1NbS7m/w3872dLSXWHn/P/Vz30MY95+D++/vXPyjZubBVMR0vwWZ5rfYxGvXLByGMhOOusMxbeeOMTwBQfxkQojMZFAnEBz10MrvGYKiaY1E+la/fwdRHGmBXeC38HU2ZS5WL+2gjGNZDxu4vGFz1oR5zVifmftMH5Ak+hNSNUe64haCcihw/kU++N/+L7zxG6MA6f+Ed+38j5j5YLixJjZuTwOZxXg6jKLKcA78rxi3ZXLKGrMv13Du8yUjs2qZw4kwKJd/xIXNoT/8cVuSa0o2+/mqYbtKiJdlRoA2Gnjsabc+jXrxAX80rBQoPzlJd0T+CjmgubDhRAPgXzqkfvOuNkLC6I72xowaN1YqfB/MdQk6ZKdZryFzSRBleuXAtMc3hvf3/RcWTvePvPqxUsWrQwW7r0Xrtccskh32ukdi5hmgLVNkc6iWjfPpiquCODPgbu/yZGOZHHGLqGNtRqwsDryXIryQzpPHL1ODmVWFSnDSwb07eV36x3Jf1GdXOyuguZEI9ueduIHTixxUhMfRe091NfnBW/7V4Nv3hOhIeQC50Ly/tKCTIzZcT7+I1so6tRyXfeQjCf8JdQxUSKGCjQSfv03xNpfDLX8J6QoJT0CxhevtZ328wP+F0MHSNucRifQBzxLnEnHr0wDoGLguEjVOhdU2durOkmcpdx1admK34vw9/IsY7vaLcDIzTTyTy715bQlR5BtQPos8KUz6jUp7ADpBkbxWDsHgSqytCCC/YSjl3zxi07DfNv9yD3kN/33nff/QnwGsxIyT8FZRCoqBej7/12pzEZXaieCQa5qHGDUpLImBAGqOiGWezLORmqC4KD+nquGcIKJ9qxxlaSXG8Ql1IceKVSWv14GDA4rP7/2S+416gGsKSdnEsd9gNeAZPTSNz7r1yLJpOb5qHF+yJJXily2D2HY/9gJrth+qt/liQ8soaa9iKjD8YK1FGP15wz0Wfcwde9iftDzwkXHQOg5ewovA8Yq0x/+1KkWt5v/u9Js4wOljBebBz0aP4FUiw+nsbYiAcoF5BMHB/hg0kRUFB+YqfSeTlGchh+LuSki6cQ5nc4roDRDjdaToqAaXFSexWC1w6rNuGiso7/mSP5b7jnkOCb4g2O5/xreJ5TO715xfw7pdTM1NvHfXunwse/0V19/Wu1miHnSoSj4o5pQgVkUk6q45kcBxsbAHNuRP1GqgYHuW6fDL7OA75GI126/nf89nUm5p586qan95BbQYLNuqXkViIZT/S+IwrXO/k+U8KBkabiyVzLLmTL1V6Q5EJbiMJ3+/1lD+oLH8noX8j/uPmtNhkdkFjmzmOq0C+lDRaVSB7ngrIzFSTCofJNvmknGTKIjfMg0lA8fFYYwXkPeIkEvON7ZUxG/p0hgYDfkYCzozlctIVq1iRtbsQjlvva5rzzzIXtWto0CKujKPC0i5fXoyHX9ZYRqvxKyXynxmCbtBaleeZnnYWppm3Ue9FXnz3/Lfdq0WxHvsfFevq8gXr1bgZrxfy7odb0173XbrsNt9dM/qapTSWIjsqqVadqGHLwebAYPBRs9Fi9JoRslEgI0Fru2GFQmvskFgQNyROSgLhOBq8UZW4g3cNcCLhXL/dZpp3ASWB+oBFh+WkSqjH8JEmCLgIycI0wqPK5exJvbDw43xuagwvbs1JQGFhpbuSw8BR7Cq9YShvAQSuQKuvmF9KGsbMVjIyrOpYCZ8PDlRh8gWdO7GSlofStzUyd3x1/uvfqZoxBNiNN8cAILbHUCiNnFe9xKKGazgJjQovlONdtss41uUbf+3M4DxSIhIU6tgOMR8tyjIZhUc1XYcM+OVaBbmpr+STb7oAOCh2XpBF3XL9RsWL+XZNs+i6ASe/LLl5APlOC+URHTROx//7ahUZanjt9klWrrkAaCcY7xHwZxEpSqqXips/n+96cUzJKUNEGoKKx0zeMde+0gOiJoxcDEmlkRFQC/FsWAtVfpPTc3cSU1ltKYvJnctJAL6SpQikfH3/TTWc/5PchSZ7v2AsiIynSo3aB7EQWAqEAPYTW8b9RxRryjuP80aXEuMZFbmcpDR/rnaK/aaF9OvTmXeVg1ncv9PymLcN3iZ2owL24JiPXk2aoJMZNvZoQkDAnhv6chGrje5hxnRCO1wB71oE9jQqONCIabLUNTaokLUUNxfHIoqWPf6H3mvDNV/n/qoky70l1jIsr5j9ZCk7h9Wy7eK+pZv510oPut99+Ge06yKespInh5FACQ2oyz8lipRnVZLDz3Q5g4DORCjF2pJrs180SeCcdSVK9BmEPJTMnEe7IGYncYsMhYKM6kyjynrQY//lf1f5X1BPywkis26lMPIxj7kkcklxaRE5OTOCocrFYvh6hj82yV+tR9FN+O4zPV6S8QSaP06A820urG9gs7S20heGHSybvsmYitXAH5jxwlfnzxekNiHI7z9GCt2KfB8abknoNTbRuEsBxNbWkGaj5IXlHfn7uKTOu6ZLZDJ11RbVSWAm7mfaopbQp5KY9zaAyHQ6+y+f6Zry+qxtMceWK+U8xQSfT3OLFC3fdY49FuGgWEdEwFcW2+vt3zRYuzJU6pq0g5TtBPZJnT0Qeis3qEaHfM7n+I6nbVUw4JmlND5+ujMiJUYfEz0TDJhHRmjCOCPBighWo6DXjCYbgJ74bfv89j/Ia4YA6kcTLmeQFcE/sQnYnh4ZOjcMyHeIEev+B7z6PmsBaPtk0YxkeJRGFLNR1BufXTxtB7+ENQ0sW8drR0Boa61450Bg32n+OLN9t5M35RFrIhyhSap3GJIWNSA0A+1D26fEYN9cIsbhQLOXQzRnNQHfImg4GXWHljY7QZsNRQi8c/Psj3odxn6MhFmiWuW1PWnsYayhw/wST5bpCM6+yDRwIQXXhKmw4tY183kIfNichqOD7EPTVwmKooKGh/x4+7mbj4ykxDD760b9c/Mc/7prddlsPHj+6yE++uKnLzTfvRnuPUBJfyMvXODTtxQGXBqSDUmbNQM3FYlWtxVT/HAaMtmCaWnOlhFfR77muI8yLekJQX/GgbTw5cicfEr5BXuGppMHX0HknRJR0zel8PZ06qvoaAo1IZkGJXchckJw4X/PgvLixsM9xtK9xWMntu5wXd/63prxBaDhV6YQC0C6M+tBTTY0gqoGA0giyYmz0cr4OlCjzzN/WLBxwHbzKFOE5R6YWy7gpuH70BIOJ2eHOnHkIT8LgcxmyiwRSePelXHQ0Mkd+HwUJtEoDQXWPzhueP6N6qnV/t/ZX8BwFfRI6cvHS08sFkyJbH3QcKwTdRR1hT/v3GQ618KFazXfRyKGKXJWZpQDSy7Z5mzYdccAFF5SY/+Dg1DD/eYT8bt3aj8vncUyCOv7ueu1EhLPYJtJPHcm49rvJqLudkMqBSr2GEVlJPEnvuqCGy6eT6t70Twl+fakhZHo6KLmPWxKDX0slpPPXgQsvdnFhIhSHl88bA95UE0NeE3wXGjAQrZ96QAu5G8O8rFT/M2IHVt/McQHfL6AOC0uhcRgtIwzIX+H8N/kfWwfzb+VymZVw0NBC067PM/D7hOGL6ehbmc01fzH0UrM6vQHhcB5pPD+aeyrxI8HX3Gt2yOuIRQEHg140LlMcm5Mnv4h62G8GRkjrvHve5WKlexaIAgeFHM2yYBzp9z/wh26fK8FDxsLo4sm4EsIpNjou+QQSzIEyB8Y1Ind7z07qlwthLD4IPXUWwprOHJ/k2JdDHk7pEXKyby4On0cpYNye3LIwtUj+EN1VeGcyanVCq52mzrp15xPd+6Js8+bNU+buiZtnZo6fb3/7UxvWrv2nd0AMJkgEdy3hOxOyxmfRz4BycjjAZZQwzDqDvKaEtLlTabxbQidJXAk+DLFJsqI/ocYK5+wOY0V60dsns3/4VI+PyaYBLgxgigiMaz5j4K//xP9KQraljSCkPz55zpggX+V3jH6hPbwxwUjn6e5JnbA78LueTi4C76c9+2yOIGMWcBstVvG5jnMkFhs7jUC3NJpE/dezKmnI7qQoDGAHWaVkOKWlpGn9JdBLOMQMrC6oBvwB2+TAaxpAc6Os1aqiwMRxeVssAxfa0XCtIV4j8AgIhfZlgi72MOiCBSTy94QxP73bjp6HdpS2xOudG0tpA+ZZRzOtAUflOjIg3evRdrd/fUcNT6ISffLZEY5MYxFaBs+Za8Py8De021xNWShUXm49yiDPP/hpfnN8YksZvUwRsjyJJ6wuDQowUfc+7rjj9tq8Oc/uuKNnxKbtEyVTjnY9b95CMnsegMracwcTXIlQzFoGme4dRlEYf12jmVg6EkSuoQ1JoVjIIGwMMD+VyJWgb+tEKu+m32lyO8E1tLoYIGmpEYR28DS+62LquUYfhGnGDEriNyWfZoOxHhfCAG4qIwwl5CSjuNIFjsNJ/uvECGQ8pMIII7GTzNgBDb3uOYzEVWAczo0NcBH5H75/mXMv5bvJ41wYXARmXCpsorcafDdaPMw5YIEpKdBgCfSA6RfQysjhgfPTO3VBOozzYv0kTAsNLArXCMXpqssYrMu0sKuM3OS8XIQL7UgyfRauAo0y/zbeoSzq4abcttCGHkGOK21SMlh5ocKCDgGOP8bWmmnX5NJYk0aOKfqS2w9tZfbP+6sROd9wUIj8VjL6ja3akTvxDTL+er7Jbx9m6LGY6qE3fqmYfzsKzdzvi8jjz0uc2mLA2Pz587NddtlVNVCbzggf4sTEhVeESGSGQ4XB6aKA9FaDOURoOTh5jgRdPzBBKl6T3DvNMZLdRHtTgnvSju01tFEHtgxC6VzV1lgAdxpDSsydHEpm13KN0NKohd9k9h7mC9L+ILN5Fs/lYsB1BZ5LNfysw2CMMTh2IXMx5JkjN5EGPd0AyTQ68NmyP8tfwMe/c8jMTuHzS9TBRlC8i9/WJml3QgbFsZ6jw/OfsJ8cncxxmZ70m3SBXjoWCO8I4+l58y3OLeD4a/4H3itYQLd9iOA9F9KUuiCiyh/JsbFkvLmbnA/ZplaufAzP8Azee4ENJqRzmSKLQ2zWo22nbQE+QiruExZx0ZDRMhdyjKJ6+mTncPjep80elqR4JXMk9mDy0snv+6c+9PC/CxeLT52xWCcNyYmd2pKgSc8J9D+Epk5LJwOj07aqepOjQN9CStp8ZXItDbta3J+mG25n3QaQNBi7rYq3Rkn4qoY3jkIjHWq3mGOxmIHuhFIt1Z0SLaNOGzWjIoew3Ik+YEM65/qACZjULAR9wjFgwtnTuDeMtuB+Yc+AQdR+xTUjpCDO2ceGWyGYabioKnVq4BVbVjMSHhKWkqnLqMD+lUwjW6kTFAlrAGYfO5Qdxuf/4WARjW33vsGn0NW7ae/b1OP/GS0kPluFRjIzhffAOOg9lmcW24fpD5zkQsDxOs7xfsx9k78ZeoYtgvNP4byaiVKvBtOTmyGKJHSgpdVg1nWZthqeCwdtt98MPY0LGGtAODJZjbVqdrxbvb9+Q/6qzrSEbihYaquxQCloef8lpbAU2UVZXCKOwSZdbIEyczVo+zTh0qw9ddNIxfy7odb01l1AkFcu85/K9A62Je6PVtFg/lPyFGDrG2nIQ9ijGUISPtB2gOqq9Jc7+IVbtiTGzG8BtyhdK/2td1JMFCKBESjpe6z1wUpIxvvpa50L3WzinH3Stc96xhu0LEJp8qlZYMTV462OhKr3UPF0/lca005g3qCAkDiHpFwXhnpJgo/UlsSzMThHKmFtABoH6VMu3HEE9d7Od7Ht70zJC2jfiM887aVk0pEhVcOt0NhH1M44/pPzaLI5dpOBk9O7OYjzf8V53k2B9B70aB47/dTjnYXbpLYAFwrdd02tjGY1elGz4BehEmCgAg0hoBOfH/y/gOG7S1yuAb8tFNIJwbifc4kFpc6ips0sJHgN0oyrIt1bO0Eh0+f950I2QK4TjyHopF/d1qmYf7cUm776883rMx2Sv/l9YP5K4kAk01sSY5W5qrIOQUhMGMWdhsrrxBS6OZJDu8L+pd+9KnhEP2Jki4VlQ7cQEvWFBIBvGsFnMVFlJkphGhifT1/E4pX6lb6u45oh9TpN0IB8pBR1/5wPtZrX0kfmSwSs4Tmx5mw+z+Z3mc4zaVuvHxiU2sAabAEnoNb3sgiYbVLjcF1s+7HUF7qQ6QUGvrOWkuGaETY0pp9IKp7xwdBgNedgshp3By6m3jzO4cIZm5qgFYlb55/k+YUZG/EaagDi91wXi4JwFW66Iz160jX95fuM96pWoKEXjVb4Lwzx5ISa/I5t9F3cXShWDVeBQn65pFzY414KOUrtSvMKMmow7h8xJYvMdI+NivlPN4U7b3/+okXTI6y5H/BMMf+xHjdNCBeFIUmvUZdJxmSug63n4rBOMuEXJ95e/Lae7y4cqP05klwkH7ua9tQc2hbqKbnLnDxkNuLbwFShmitlvoBztB1QERLiVtxeTxSuisL14qgNA7R9eyzHa2Bo/iz0Q5DYmo+nttUY1BZk+i4sp3Eo/bHo5M/jEJ9GUyoex/VP5X+zi2rE22lKSb/iaA6xc+i17f3wROiSv5FPFtGt/w391lPvEI5/po4aGAb6rcA6Zeptzj+E538c57W7+D6gSX4atHBhHVGoL4NXk1xKPQUIvitNF9xPQ29EzQacNJFC+zD4+pLSrhVjQyFJ7c6+y+SF8nBEiPfH+7qVeJQIatyhJY1l+h2LEjTozmZRMf8d+vpabl7bbbeFGGd7piy6t9H6vHmD2a679mlQUvqfdYVBu5FOeViCSVtKCEbJK4xj4L/ZQ5iETk4jFlWxXSz0ftDoLDav9CWENKbkleAlmUwwmqSRwFxyDI5Kd33P5hwTPXZ2UwNxwVE70BuoYTBuxCggxRemmpA5iEkbA0COoFhghDf+xb7Szlo+OeoYmN3qMhYwFxzutVxjJ4vAGheLWV14Lo3jLFoRefsZvoPv9/0d/wv9vZcDuvey+C3/G76Kb7vhykmJzody/hjO8T719Q/aqgHEgtAo6X0o1fuuXVRk9o4BpWvei+MjIJzQHDot6Z0oqbuAw9wLNU9sPebij5w7vO9YmLEZheYBc6+1eNV0eq+ZqudYxtYEbWpAihna8wpoE3R3LAlVSiNtbTeTqZcxeXCd7z5nlBbmz8WufEpcVZlZCvBCzj1w8+Y9s+uv7yHCNwxCU1ZuRybaulXN9fH3KaXsTPxR6GNWlwTBKNFhuI0I4Cg8Q8Jcc3DmMBgyiSP5m0wVbWG5EwBpM7bIlDHdyLFpNMkoLRQyoCEmRPvACLEYCOkgoRbzObeR79oMnFjub+Bic7pHKTnG5txGF+PpEq60wA/525JGcxj/I/1H3MTXqcscqwlZ0E+1mpoBZk/nO8FIa5QuJ1qa5+6ULfQ8kwsUNo4CGhVI2tpxTLkcsN6HOPg/ew2HOL1a0okcMJ76X3AtBl/fj7BMIfZOUr4BvGzKknjOffjK4l7oegkjVtKWhgW0yNl3YaBjg2ga39ptYO45i4j++kbkFi7CjHm3lw08XmcAtVCEB6GaAcfKTlHSQiavln8r/JzA2vVOPH5ezrMMf4Y/UZ/nLM7kh1M4NjYqDJf8VYWxwldlhimAtPGax69bd1Bsvbh585TN23gMfIiyX/1KXrYM6EE/92I7A0JmpycPxQkR0YBMyoKJFjlBlBCETNz+cMIq9XTQMUE59k18t6XwXBp8ZdpKjEz6CCTiWWKDGiaKkp3urqHC+1zuWtYCIfG/msTaRsNcB1MNd1eO2CbPtpB+Aypax/+o3Gu+xadujc4+XUiRkIvj9XLiu/c6j0MmiEZQg96FfYHOwUj7bZPvf19GC3fm0TIKbf8f52TIloCqJlOQKuEFbmQeuf55zlzaYv/QflHT+H0wfVfy16CpZ5HjSez+FZwXmvkD342WbvRJZr8bh2NwKb+DnZvOwYRsEXF+IZ9Cehva9Zs2hIKkG3BheBNpL9CuwzkhoZpeN9AytBSZvNpby3tud4+Z/F26cL+9ORRsnI8IFBG0JSTFuVpjcaJe3cWS8R2a0EY+WdgG0WR7WKCHCucH0WB61nIG76Z8RPbQFuYPcfSI8KjKDFMAa+Hmo476zCuOPfaRSP6JJ09RH3bffV52yilXZqee+pqvMiDAoXMG0FYYWt+88hYG1eROIBkQUm9IFP2JKZkbRHwTZhuLRGNlQpqOXP4yUxcK6zgYZagavTw/4yUxjgbzaIaQlIqZXDKwyPMOPh8MajDBPE6+9fwvI5L5i6GqSYj7y/zE5gOfp740cAKqbWg3wD000kj47DGHuKZhJ0CgKg7jHNKz9Am4w0UDKVejt77mBcbnnD4boapNoVebAAbnSC8tTTsquHZ+tqOKbSrxLNDHTJkaNAu1Jgv4t/2UNjWZvtANDKdAk6kJmzyb76qXMls2whmwbkTr0p7G3odzHoncZ8zV5DZyXMS1n2vQeXi3uM7xqVa3hANmXqjpyfSU4GGM8a4UAqS9WoXM/cYdrdUmyVwPJBk1/a85tijBxBk39j2KBnAhSo3nMnvmnTCUtAkhxTbQDocCK/m6lUWgD+Elu70BfXE/JLscQ3toyAoZZ3PgEvvWcTWmCvNPb2EWfCwuigXZli2DHPLYqStmCO3pCWPyvDQxnCwejSIcccFod1y58mVMtgfI7FSXGYxKHTWYqJM/pBPxbTFUBzQMNndgbi0ZZAxo1W0YQgTmUMITxDob0zm/K9Xc1S2O2w2FEgNvwA3BxC0JdtB7A6k+tsxzch7O/9vKaGKZS6SXcJK62MnUhJBUtz0a7bCAZks5tE2YAkINALrWefbaqXwXypBGSr0wQ59ZJhh2C42ZMjFpsa7sh9tbbmdXs0jcZZj+tGtf3AvmqnFa+CUX1nJBFyeXqbJgRUCS8A1MxceLfaB9fjQBIQUXsKhv0r4j+Z/FTbIFXCZjIuXCgO22lCT1snDUHwCtXHCU6pdw3MIhrCeT5/pcenJEzv1bm/Hr4W1O1f/0zTEgn3QhUoCwP/3pvTUmqvOB/jKBy+0WfdcuVkw6F/eAHV3wXbQ28un/LupqRtIW4SnXVuV1XRX6x5jS1VaDe8YWpJ0LCxXz74rU01p5kcFY01EaUb5pEHd1i1WrPufgbFaXHbDjliSxsSAoZYfnhIbbxsM5WMWgXFCYGJHdsd/JxHVOdieG9xMa8TcmREBRMg0mz1bOheSjG6i/T6okqVMJ33sPFfriYqckjsQbzyAjA/KQ+dW1nbigwZDDwKY0/yfa+majgZKhuel2jlE0opGlBVpBnfvUxF5lki42/B4alYyChdTFsQZjMC1vzoKy3YmNR9Lyz/OpR8ykn3k4weirz3Y0B5BNTv+kd/iry7ldpGRuPKtwYBhfXfBZQCPdAO+kzqJRc9HgWXKEilgchHrcMtF3FYX7uOEPDF5jbkAcPEtkyFS69XmVdtGYAs74DocJB6fUNpXGpu9VaSjRPaAj++Nz+d59bn4v1O5k+DJ0D2gSXmguxNgNGmPGdyo9ajJ6aBTCQax6M1CYBwNg/t2Xivl3T7PpumKhzH8qA7yaO9rbq6A+xICn6xmiXQa+kryTwKNtYUKq7joZZZAyxQa8BFMKjwwnJlCDeGifjFjpUGbihJRxIH4qdQUzVtJuMHKlafvgpDRBXceMJDFZ22m0BQxTFu4rDqsG5AKnpP9Ejn4YtJoPUqp9KZBQa2L93+ZgQdvAb4uFAICbIp2Bhk3bFi+X6blAuiByXhhOzFqG24PW0YPEnb0FXmkaClISD2honnThOWCCpqIQaspZnAs0Gw3QYSQVXpEZQuPwZJKGQlMuei4ALBQyR6G/mswQvD5396s7aNf36MKGwXf5ozjvAu5zKeGyiBe0G8nSoNU2Yh5KF9CJlATBOXZ8Jxw1hQwFh4b24MAXXkmMXuYdydB8HvFVaG9/Qvv03fE8SuguTNtYuPrUZhw7M8XMuyID/XKMT6hUzH9CZJuWi+ZPR4CXPXVBScx/Vr7vZB9wMjZgmQaBlSxHlHKx2NbPxPR5YFZ1JTkXCRho4KseFhnOgVEFxgUjkgkw+WVsQjgBR6UFwdTWwQyY7EregSW7+cWIycW5hiRouz9udJB+ycDFtZFuldrdyCYSh8F4FguX2F1w7rqMCOYXEuYSDpmPkqaQmJK3DAyGqh0m2kMT6rGvLoIfW7nyzRhZt5Plco3ScdcFHN6F6PmMjGNoV3hObQ7mNwj0NU+c2EVNDeyqdH+lfhdXn4vzwTwv4xNNJojr4vssaQsNJJtQllAZtA0NgHZyGejGsTrLdbYjHfxUAOBZZebSpeZ5NR76VTyQT20LahRqbNKcxaYuvYThGpqGC816/vdd+Syel76+TyGjWcnMx6LPdJyflcxgOh50J2izZiTudBVTPKSJNV23mLF202LRbAgdV3JMqj4MNdLhyvz7+eQQk63JVJRy0SzCiAhzUOKOFAFCUUqRMBDhjMByZXxeIzMR//e8RaYiFKUU3AyNfckfy4Uh8rzAqEypncnYuTYWI+EvrxNiUlIVWhAfdjEE3/Z8D/0ZZID0XMv/2AzmkYrizd/g/7dzzx90QvzEYF9MOyweg0rGtB+GRe7pojMoZOOzKgHDgHUMCEbuM0sPGb/QFNdGv2HCYbz9DZ/f41OPGhfQoZIWRBdbs8NqV1GL8X7WkamrxcnMld6F+2DoEdTnQi4sJI29B9/r9K12Ht83UpW+90kf+08Mxhr7WJUuKFAx/y6INc1VEfynNq9Pc3+TVqHEOedKgqFkDjJombbMZNySGKWLhdAIUqiwiBJ8ne81GJjQTOxKJvNxgejnE+gnUkcovcsEXVS8D9COxt+a52Bg27AR9MHkruLafbjHYhcDGaSMjw83LVHCDdjlfvA2JWClV+v5DGgBg/7+XL4fxT1P4/O9POePxnqoMvvo4L/SVSCqQfvhYiMTduFE2+mBPvPo53Yla/siPANDDunZTimNJ6law2u4GLoYqmXJ1NW+3FnKMcYCFwzdhdQFzufyfIPfQJ9Iumc/lNCV4F3kxMonDGOM9ez35PO44yK06H0V+xe0HdfNtKiY/ywZGQj9d+2yS0Hq5cEpx/0b7SbGMUueeHZ3I8EC2hOcUB1NKhifzFoYQtwcBupCodE4mCiQSTBRGG6v3j0wxwfA/GT0gTvLcLlfAdPVayZc/oRTYKQ9Ml4WjR4ldZm+iwG/DdKOzLfnRXy+kPv/P5p6D1KwcEyUMq9O/m98fcrdFA8XTu7ZA2NG4oh2BtFWemhznpqFC0MDfnEBlOmL22PYDWbtQiSc4iP5rPweGoDamP1mIcmNJlUyr8o0UoB3fRXv/XG8lov4vIL3IZx4JuOA9OZrfjXerVuYPxejXob7ltJMVWaOAkVPzx8OvvDC/bLbb6/h6ul8m7qyYMH87Ne/Bv7O3vgo3vERaWJP3Q3mfEtOlxqMvc7hZxSYZATmAGWER5CwhdIvR00jIgbdgHhcMPgecAraRKTGFlZSaobxBzzjIiAcIyzCnN3uooT2YHZUt+sbxKhqorOeV8K8jTlgESgu4PdXcN733eiSUrVtoJ2EEghDH7TzHIMw6tj6z/+1LYjXK42r1aghIJ0bNR1eSCxa9cQjAjazMfpofia1Iku9J2lPLiJzUuO8m+7T+c0xV8fWYZBdz7/zeSR3+yfeA67KK7DLRHoSxkLYb8y6OmTrGC75q7pppErW7unsdNX23RTI64ODj9jzuut2xTCbZ9u2Ta1CNn9+TtoIBdJDhCqQ3sKgWJUpo4D8LeCa9Dm84cCuQxrmoGK4sHpB+gwvGLUAJeX1/CSUIgbOuR4ZsKWf6vfnE+gnPFdYMAZd0X2xtpU6EAEdYPqmpRhkLjf4rhk1e4R4lNhh5iYq67mc78IyLAhu+K1hORYHDeP+z0D0XrEwIZH4veZCxBFRyvweLqHpJs3PPxYtpozoVUNBgYAVhc94j4MIBT0KFRYXcgSJQea7i3pony4Cvt8oLVyGVcGVwqMqM0wBInz3e/GLv3z40552P9I7tNjMJt2TRYsGsx//+Jrsgx98ObljfvvxSTdYNdA1BUpIaCsG5ZrwDotvZJCUcYuNy+xdCIBbwu1Q47CzGgat9hBGUhYGoRmx8R6Y83ak/VgscLkclDGn+gVSf6476M9KA2v2f/kdDcBUChqZB5HgezbSBbSP7Ycm7x6Zt21xbxeBnh/zXfhJDUNBwYXJQSk273elfgTEW28hu6UQUVV2IAV4z7zHwc/z3nhfg9hjes5lzKgZ8tlDBtLR4bepFTF3IAHuAbfu3by5Fvv33n771GrJBXxk06Zoc2rxpHsA0bt9BCaaEpWHzFqvnCUcMnAhHhkl0nhECju3hErUopWWYfB9+v8reTe8hJSohVfWc05cHcNdGHlDnOMDBh0ZJ8XU+Qi7AHj9diEe4aB+Pl1EtBt8kMXlU827XDHpwX/dh2AZv9VeR5dfVdZXSfD6sCuA8QduL3MXogJqishtjjB0swAFHOU9rOvzaIPg3nuYI0pJsvHsegfZUbUJFyoNwsJBLBA1bQnaBCzaA4Yk0HSu+pgABaD/A7jsr3ifb+eT7UXf6tjqqFTMvyMyzUilQfPuT5evv21ThvC+GXmiWX6T5Jmi9O2i6CFzlZnKvD1cMYVpZIYNj5yNfE+GzAiEktnJOIVn/O066oOzmqzsdPIDXTHkgsj9dJ/0PkrySzi8Fuk8Mk7K/P1NBul7UroWo4ehBlTEJFd6385iEP7/XC+MU8DYY09cIZ1RS0oXzR7EK9D6tr+BNUoDMYbjwd+V0FB421xPWy5oSPwBDfGMDSOu/vwBG9gf7htuqSwsQlmRRlt6eI2LG3SquTi6ECa6RRpnIIiwWXiPXTBEu8io1bBIRFxFgpMiurfhl58gqA3cd7GZaCtb5Mg3bA6qd4z17sc7XzH/iVBteq7Zlhj0tLS+fXvwICfePbrA4GSgSsVCKTDvunAHtqxI1SBjF8OWiShhA8OEpKtkLfOWSErjYvNKrjIiGFAwLRlfMPl2Uit9UCOg7WOftHJlbA4i86ZPEV26nk//TwtEgSEuMlAq4dNn96sNo7ES3QEcMlH7isS9fQndfwKHi9KHqfsuGDvGvs4K/f4pNY+nfx+irf+gHY3Bto/heDAx92Do9l+pXZdVFsdYBOwTfQ6jL/QIBv8wDmwLaghqNkY0R+CatNQdVMb0zdF6Rx94zrr3aVp4h9JpPCTd3+dEq9qNd1TczoLBOwkoykVTm4Pvhj5GrIULmEZ1PmtCHda7x5fJBKtVzH/2DI87p1Py37ZN3hXMbacpyXVSxidzRBKPDIlp4uuREnCE0roPFw9IES/vT1KqUmXCsoUjCqCHmpKqdV0I9cIx8lTG0VWhb84dGbbMnT4MZZykrUh7oPQqU/Lzh/yv5BoMKflmL6He0xOm7zMmQ4+BVZEEj75HHhne2SD3kOlHCuNTOd5NW2C6Eytcez5Xns8zHE7zr+X7n3EPmPZgMy19DmnkYijM4yKBfcFFLPzzNQqjEWxgT+STb0uePS5uaiWP5ODdFOzl69aWYTzWLsHCEdqR0MRvWbhcYNsW2m5oZC7evn/6Evn6oeHQNo4uUiy4pgkp7I+aCCUSEHr4zrVj+D7iBw4XKfvg4i4U1RhDbft0T6hQMf/Z8xbvTNL5lPdIKCkx/x2mNqcJ7CR0zMnMZWxI40re5pKJJF9ObtyNg8nJkGXcMm3r6xEjNKKkJ+zA94iMbWDoabKbHXRgSvDkBAvZF47IOCmMIcNfwiEGLmQkgwfq0e1yK0cfUueAUnOUtIA9mq/7pTw3G+m3uLkGuUtK6bcmxOQCAqMN7L1BIxhoz2N5dH7Pvwujfj8Mk2umpsDsMAhm59LH53LvF9pHDpkizxSpJtRQ9PhRO4LmdaV77Qgyb2kBo9/jr3gu+y4TXe8z0e6ldz//Q2HUx2oLcEFwcYBpF0/iEwa93AWc9xZ7Hsh41WKkq+mKhxhx0rR8p9K6UVzERy1J+3NMUYxEDg2qn3u5cPjOPBx7PoOaoIsyAWrLXXhd6DZy8IwBh6l98D7rnKt5f8ek9Z1Ld9K3oXc9Vn9m6/mK+c+eN7NlZ2P+TDKhFCZVSGOOJSZzbFiSJMWAAFTPhVc4Io8OUEpEhiqhObHAmiOISkkSKbf+iyRZOgHNlGkb017KGJfoExh85AlichcaYJ3kSq9qTZfRP/pbO5vvbgIzQpOinfsh2T+YOku4Xmyf54rNxS/k+An/y1CBNcznH5qLBlXhDOkoU5J+MKUeNQrhK5ht/i/c67zpIgJtf41+f4f7HsVCc2QyIicGF88NAw8ozHMyTJ4tmJ8M8nNI/zxfRCljP8heAhP1uZDy47ldCKDVGrWNlsI9fVYZs4warSKuF6oz+ycLabjAqgXxPTSjUWk+vN3EkBtMWYHB8TVuKTWXWOQ46ozfhldW9I33GDu7ORZdELRtIAQUNZ5VbcIFy5+dB9KLhXIobbPXeM4tIX2WKS30W/rt07zgdnqDivl3Sqnpr/fHWm1L7LpVhLY9dcV94Xt6FJaHkl6NaDx5sSDBbe1n4MPEA9OlmECtV8ao0U4GoEQmBCCjQiKPcwzqyIejlO6YQjqPJFtOWCewUpsS0w7dPjI9owzZhUipEyYdzyNUxLO4T2yk7RXbhsnn32ZSjQlNJOhHfFppFvw7ICifV2aAhB4pmG9dufIEmFyvBs+nUA96BvzxMz41mtoH2githxIRvTDBwRs4/wGuR+Kf/pIgqdN4prPoA5rA4JP5FI+XJjI7aFbjPcb7VvKH6bk4FS+CX7rAw2DdonG1bbioy5RowyCzgv1ll8v4XPiv4PNK6cIhnRLjFBorSxIqfD8KEywKOdpPwRjMTR+hVgKtgoZCOLQZOYUmBdkkIUOt0qNtKceSkdJbmRd6cVkiF5K2GoUd7Uwyfs/5PecaFw4nolqu88t5pF0FekZmVIsLLM+0gfmy2Bz/7bR1hYdltM34c6vG/EyukTZtSwvzT9KPq68SWNuLqwpTRQGDgHoe8aMfHQDzn4erZxpLU9T8LrvUsh/+UJ73tseuXPlGGbEMzsnpoTQuY3YgMph7HRNioU5KfosoVRkgBryQUP2tIc2gng/MqoGSGLIwkQ/souWzOqZdrJhgGiaD6TIRQyoNqZLn2NiO3LQtLCCzd3IfyqcMR3rRRiQ2+0UDBqCukrubmS8t6Rh7236ZTxml2Pkz+K50qiYgQ7WfaBou0IPvZf8WNua4Yka0nubnpv8yoVPo/zl8PivRTgmeMRKSLQt60FA6wNDjuZV+7bspJtT61OaAfwZOabTNAghE1Cst/pzDjeuFW2BSkePncu7bwOJNCS684iETu+juNsKQrnbmgqnWCaMtnsl30kgv476RZuJyzietJCR+bTojNLTmZ57I97TY+P6HS/O+5xElwX+OQecZh/aJGEcKHY6rfg4mvgb/HCP3Yuepz6VG4nNb1LSkrdKhh8KV7+BE/j2Jz3fx/9u41wV8fovDzV3QVkcvwyV/JTnxR4gXYdtVmRkKQO8lPRs21LKbb+4hyMs5NnVl69ae7I+y7GxBA6/ke4Fk6pZvNbHyjRzBiJiwM85wJvKkSYp3rPYnZuDYVTtBClfljihZpXek+ALIoQYur6dO54sV9xADFwaCcSl5DkXlXszXr9K2zD7oVcIG5q8PCUzGKBNlEjoxlebqGFWzFyaNSrwaiTowZ58Bad9m8jP4w/Z7q4UqdmhJzPhTPM8S+vZs+iZE4/jR5sFiVrjgqfE9oXyG2Njl0xz2ncW2eBrXHlc+Z+xh/GPaZPErC4sB7fZBV/cFiJ2/tAdQL3a6Wsc5PXZamDb/e3+PFm2M+8BM3UqyDpQW+0I8kMN+udjfi7ahd7inenCPrfSx7w/TsSiM9dK4l0JW80IxtNiNdk0aT4ypCAbs53CsOKaTRh7ZaRlrYTtzbLPo9QDbhWfY4el4B+2s5/upHGyt2Zr9tYX5J3WhI5VhrIeszk+MAkT4Xv24x73nP1/xiicQ6KXmN3Vll136sptu+lH2hS+8de2qVZuGJKmpu8P0tcTgdfCroShRIl3GVoIuVEr2qsxIP4FLM/iV/LbegM97R6p7c68TVCHTgMnHHr+q63DkMCjDMPILmR8sJHcXrtmL41HUg7GHyygTWiNufooaQInHFi8p29QgbHh9BG2xoLhWhG1E+IBrtn6DfivtzqrCc6ynQx/kWewzcFAY34GkYsFCAlc6L9byKSN/LZ+iBoyzNUqhLopg5QVwV3YE3zfyHdgnjMK263FuqudC6wKrRuV7EPcX4oFxh1ssXkWjG1cTE3dBaCwK9icKbQgd2XZ/ySyVuHvtu+m6eY4InBPmE8qif7F72KQgpMa9J/OZhAolgsaCN2ZzLG6MscjjZHFuIOoNstgM/pjzCEDhWuxztpThkv9k+ltdOzkK5DfffGe2lV0KpzrC13xBGzbU1eRmpVRfSm7B3GEgES2regxTDeMa/wdEA1QTWOmP+L6e79oPnKwTKklzkHkpeQtFCMfIiIG3ZMbZr2h/BN7PdWgWsfUiOHQEhcHMiu/D7AKz5nf6XhzJp5In/dPQGyq4Eu6RHGLjLFKxyYwM56uj3WdCDzWNF9FH6f/uxMyPpu8wyPpP+EQizY/nN4XGT3NAwxrxDSuO4Rl5T3XsJms+kGgjDR7N+X+GYXF9aAtqT1dzaEPwgGEN4f7SyHcEtJMdS5vCOb4b9dhfJohq3KemjjYBD8v3G5VpS9hIqIiFJnb9QrCos1DVXLQTHOe96ixmBuyFXUEoZlYV+vr3dEit8i08hxCQ74F31YPX21vVNsYsFfOfPa/yrttvb9h8prZTunreeeedDtwdCickKR7mWEfCq8noYfpucBJMVPxSpq9BUGnnG044+9zsOjlRynBvJXNxeHFiJUu1BVVoMVFx6yu4z4gXkDQCGFAh0wLO0UNJo2Xupuo/b/QHbPZJnHsy/6ue2+b7OFysZFx/ySHzdGLaFs+Xf5LrhX92qkKfMVRn5A1aBsPJhRnUvM7knboIvCYxIOGrz5ULZP5SaKg9QyychWBATN5FUjhtKedfWW52H4bgdRwydXdQa+D+LhDWd4z4/tSmnkb9w9I5bTYyZ95f55uXN7XvAtwo/5PadKws4fCZhPyAUXJ2gluGIBKbx7NIFS5ePouaITmOZsYrbZTB8t/c+yMTGUQV858I1abnmm133HEHOy4Owlymthg8BvMXS5oR5s8E6udewhvi8DIJJXvV72QMDFxWaEYo5Jd8XtOJFNcNVUrIZQjCUZuAwQREBBOWWYXHyaiSUWIAMmmld6EIsVoWohoJ01b/ttEP6oExZ0+n3kP51Bj+dReEhGe/lPMaRmF6dT131BSQKPNTE7zazePMurpI8zLli6EBC54uorHTmQzfd/9yDoyXtS/yrCCaKxwLQEbZ8hL6yc7jvJqSC+LpiY5qXxiYs5ezGGAnyH+Q3lFgoEnq/gVfPdSkGsFyaGIF1+ZP4DqEByOz64ypmmNqfbeES/dpaCEtl/NeeY4+NT/vo/anfcmxjV1hhYKKY8y+oz2GMKPdYlzpu9v+Da8/GYiqYv6Tpf7UXX9Xg/lP5Y5etlUn9fqWLVvEMafMmJAkYpmqk0EceAmHDJf7xC5XSFSROEzoRolXBmpqBCfFlJayL3XU9hrqu1445s8xLUGkR4ZZ18hmOj4jSAvWI6j/GA5w4fCqAAveyqbkJw7BP9RTsn9iKdWG98ul1H0T7QsXaPBdXUqF9e9wXyf+X/G7i+AZMEw1gntU4bmFUr7Pc7sI/i3PLOP7FAcLfXE0DPllfP8uEv8nfXDqPY7zTyx3FtMOYjKy1V4j8/R3YThhDBcVUlEsB7LJWSg2/JxIYsfTUHEjE/7xgNZxLQt1Ha2uJpTzVP7XMK2EzjtyAa4J5anxTagwDoSbPCxrG42kPjveXAy0Rdl/NJtC9076bwp1hZw6Gl/N6017Ma2LQicPWDH/Tqg0M3Xgz1tuR/LXej9lpYn5O9i6Zv4JqkHlrsMYa/20IVaqNIy6G1Ie7eqlEeqveKwSsHi8uOm0FDYgh7HshjruJBerjY25ZcpIhYEj4zo40NZ4yrPB5AO7B+sNLwkZjZizBsmWRUrGznkZksxJ6U6jrszL3bJ0XTyM3/Qy+nzylDs6Re9+hb4IedyjC7SQAX8HaOQZ0OaEckzkH+Mc0FrxorQ4wIQzYh8Gfsj/jvMj+O3V0A4s343tQyO4ic9velCH91xXI1gKAoPbrBlEC6C2/IfUazDhIbpyTgjHY235Xlyow8gLQ85ZsHWdXM57Dm2Td5hpRJ60MJL6bL+HtMJ0fzS/xqbzOZpvzrwp0BbzP9EPtN+If+GayOyqRmNQo5BnxyUJYQuSxtLxdVasmH9X5JrWynfA/DdMNfO3x3fddRdG5NtlxmMyfwaRsIzSy304wLYjSRYYa+xCtZGhonQvRu0AV2XHSDcwI14RpWRVdwJrBFayctzKCOhLvpbvSIWdpXSgLW0NwDl1DYnJM6KA2YQHikbxoUJdDYHi9XqsAJkZxDRwjhVcFDmEN/ROEb54J12iXzXORSDXWdRVKp5TBWn8W9DlbGjwfI63QA8Ybf7h8p3lL+Lc2/ldemno1jZwBv8jWGTg+CGtI6HXz1dLSoz5PH47L2l3QohoZhk70i0XbnGBuSgx/RF05rwCifCR5Yu0gUaYP5zvMOCIs3gu7aAJxD7G2jKMIJaJT0mhLWFWD9sfKvRDTQAhyjEYkcTON20gpphAaw6tE/tToX1Bwcp5exPtafBuKY5ZFlzid5YfS92P8j+LY2elYv6d0Wnaa61atWrDxRefe/OiReKIU7ePb40Nl7T1bthwA0apVeZfB5qJBGlKykrNTqL+0mCnyh653R2s6/n/fD71cphRFZU+CiXB5AuYfSTqYqLUnBAcdbx9ar/ptE/lRMsSnJNrLBR359my/0cbMqGWQn0XORaHQngC6TSMeifByPHSCaYvxvw8vspA0HTy/+A7Emr2CvqFZFf7Du3C/OZuSYvol6CVRnvgneJEPtXK3GRGBocnUPZ/S0gkMyJVhoWtJNx6n0K95/GdhSLzPG6jq8XOXZjVoEKLSik0hOjQHFboxQZsVP9pSl89KvGTNhq2ivQuNUQj4OQyXmG859MW8GTYhoTorueagKOmstCm0FMzhPTdRvvcX8hUgzP2hdj3We1U2xKpJLQrhEeaQphQpIubnlIsjsuBFzP28X3zt+Efn6WO8SLjat8tzJ/GkWIKjS7iZC1S0FQ+fNXWaBSoDy5Z8qC9BgZqeOXuMmWbuOfYo+68s5ZdccVrd73gglf9E+8XaTaidJFwCphpMDcGe23DaJLFdL8rxpxjcAmHA12pzHGnLQEst2AxypHIcqUeJ3hHpWTgdRhDjodOY5tDM1BmQjCjSnZcowEPKT/iCJS4jI4cgmv4HalTadHArFyc+iTOiWv/He3CQDKY/pr3d9TBOVIpQRGfh05I+MWLOd4LkyLYawBoLPsy55H2w8CrnchUGhfyv8ZctYfk1ZP9C9+RnusIIl++oBH1nDYnT7DbCrRVjfO57qBH8x3ILyKq1eZGSMsN8qfflKw9XNh1tkAwCg1TzB44b8UtfAorChVpX+gov9BEX7ELHdd6WNR6omBsZkHoUxAC6hQ+UkPXUy4gJOcMgoz7M/SgcXlkl9F3DPDZ/4ylGQ2X/PVK0O1twkaRiT50dV2d1A4/fOGhhz5tSV9fXzZVSd7mg3D+8Y8bWUw+AxN9te6FXeP+U/luGJBqHE5sGT1SdF3PCaVx4SQlsnVJXe/qtrQrbAUuH9kjVe+Fq2zPyFJU6JGFa/o5ixufC0XsX6skr0ePqnqadMvApWsyKXFZoJzVP1Kb4MC4GZqJE/SDSTLtqs9zpXIac/9dMrBeEr+tOJlndzPxL/vJ/0v5FII5ik8WgJBa1fSQYIMpP55zT0WJeCb7I8DkcmChuwPu+K6m+kUP6iI4uHFMwHVqEDDSSBboQjAunp7eIXabDOm58f4dI+FE4Ji13b4yT1GuRqB2oFYy6viayveLsZl7htNEaKBN/RNC4pm3v5lPbWCN4gLm8U5o8BU+P+Fz0dchLb6F+fODD+5RlR1Aga985eu/O/TQf8z23nt+IwXzpHvR15dnV199SzZ//mWGs88442fgiZvrBSRTBkaJ7J6MsQhwwkiYa3Sb0OShbQZ7uPktKSXySK2s4ZHAodHtEVyjh464sdCOXj149NT0lR6CgKjDghQasMZg+loHIlpzhdcy8V/Nb2LUSJb5CVynN1NVOqBAYmBEC58A3fteAC3fy2UycheBddAXe4xJ5bQLLFfjExLSCCpu/wN+BwopWASyV5RGYplvLiy0sXF7viOpD2kPGpUP4f0qFLBwaE+ITWYuThJ2216nts9tVKQN2xQm8kATrJO0Ltw8NRyv41AzaOts0PbGnVeQZv8KHRivgwhQPT6/2q3PKiyEIBSJ+YS3gEyHAt4qg2/nNJ7+mn/847Zbb7rp9my33e5NpK8a6ORLT888UjvcTsoIjUfTX5gIqqRLOJQ6kEr0jgmM0gGJsTRXUpqwoZj2G/g97cYuU6rip8PsWzwthj8p1wErBazDZ+wLcAGfeo0M9SUtVDIfDXAak9/J7+HmCbPRkCuMpAFz+UQXrOl/A7P/DiwCCpgfStDOi6Htu/kfd9DY9ev9nBfzPprjzfwGs95G/MSJukc6hpOEb9rsHK2s+E/qe/4cfr+0+emTpN9YOGSC2rhY9DNdTTXg8y63ommeuL5TqqU2m+0G2in0AFOgQEMpjqPtjbQt472Cw3iS6Zx7ClJruM9/cmztZm5VBt9O3/oM1LuJsmnTpmzePG2UU1NqtVp2ww036O0z5dIIk07jqIZZ8PLYVUmVG/zRIJc6knSNyZjr2z9h+1F5jzpqdy3BROH5oJ0CTH5AaGDMwrVOzCfTJw9WUxOGbX1fYj5D11FPpvAc6uhJJPSzosHcmchHc04IgUUmH0iS5dS8nDneCrT0/QlLKEXjDrr8MN6B0JpQmknlNG4+G6jon/gNibYMopNsDcy/rJOhDRTARiaSKxxzpNsI7Hyo8L/Gz4Zh2bHwUP5HG+19Vek5FDYhYRxjAToer0nzW891HkJU8lTw+NB00TqKv+ScQpBaqdqu97mR68a0RXQzLGhHQWYIpuzm2or5d0Otaa7LblvB/PPYE3xqSoP505p44aRKksjEPhnYsSk3XghGduqaZp4Xg2ja+9e360Sp3psFs6a0nu4R7qUESrUP4ef6pdRVCtOIzISLvPrACK0FjxE8empqA0iaBR4XNbx6yklJGy4GSJaxO9XbON/irtfuGarfO6cAtBVyG4DmSPMZ6SCWPxPaC/loABYSwji8DNtMppaAF1CuR1UYQ5OkK9RHjEF4ibnQvz5J3xp9MRK35uRJzF0DrofvuuFs8AKuZXP5FUJDCAHGi3SnpabxIww05CVEeywGeu4YCW5kcLYP53RowAYx5FWkzWlGS8X8Z5TcbW8WzH+qS8oZ1LUthwGqOuuEWsqBBB57064vGb75cHLxzUkHyaQJ6H2Q8CP3TT+MWMMWGOWtnyGys+096CsucuZgiU3FmUh1Jv4msPqTW+wJ1HNlFS44jE8ZPdG/A0IDUWAyuMzlMh8kx23vQUsYmsRT/V6q9lopwFjSe2cF70DIUPiEBTjXWwVoZo24u1tOOhaP4jcwbpPmXYVx+NSA7qh3LR8evkdsQWoEmdtMrqeusJIQ4YjCeSFDD3c000YFvBfjw/0JbuZTwYNYkonZppLgoPAA1BiLDRpyaAcakNFsIj2EwplCFH2MSOS2Y360Z+nmXMX8u6HW9Ne9aePGjey6NTV4v901rw/pHYRKxmVipWoqhFMH7zaZlalvw6dYqcyFYx3fNRpPGK8fTj7uqeoNnKMmETuA4ZVhwFVs7tHW4yyp2Er4TlTcLnUL3fqx0Rg2dXejztN5vqeU6nfxBRhKQAhpQurXr4ucWPDHuX9IhVWZeQqkNBi6KmqUx31T6C3HrrPaccE41Di8TKiIBeBgc9ajdbqI371NIm0o9f+U33QyUCjQSOzE0pvI9NwbR3syzmvjOcujvDYyvmrreQ7XI0gMuZBqWJ1Q4R5e6xHjL41NhJ+ATw/jFF5Ky/0JeLNg0Yj5MKbmTsQ7Y3txP3WElTouFfPvmFQzUnHj9ddfP2XMv7Fx+3XXXac60WJ0YsAZmNTAJoU9ZPjgojUHkBIYmz8MtOCmk6UA9ySaMdLmssA40CPgquFeqardUUnwwBPTZNEnXxc2PRlGlFKSC88dDcUsZPUWaZ7fMdTVcTEMm4CBX0MLQkedqSpNGwV4FxfROIFLK1iwi7+BIfquzaaKh9gahRKNw0rqamqr+A6z3IomcGJI/xbq6t75VQ9+d8zRVvYm2kLKDu+XHyUYaMRzpGvRcMMdFafpMPgDR0YSOYSgcDbw+nFtT+0IxPXOTwSfOJLdQMiyBuQZHmcYqMN+pQHZRcM02E1z012/wvCtkfnd/Ka20rZUzL8tiWa0wk1/+MNv7+jr69ll27aObU5jdnDePBGOLdmvfnXpxix7++4rV/4HDD4gHPF6IRyhFWER3RadVJO2CwzvDAOyn3O6RiJBRYCZXj8M8vH3xx2lHRco1Pjcdgo+NeyJxY8qgXHfB1LvGNrxnuv4fAuLmZMjCr9rjHtx0jj0FtKDoyqzkAK84/Pp1vll3qDsdTBetNht5FY6kY17QlLXOHwa7zIZhw3MivQRMsuhkrS5X1JX10e9fp7GYVSvTNe4gzGZOL/pHx+LRTl+lgkvonXmLkpqFCw4kWpiVGipG7LShnCk7Xhgi4ogLzSDPu1tQKM56S1CKwF+dUe1CIjEY6rnx3w3hTbfNxDT0wp5Du9DC/PnIlUcVtGIsqzKjFPgb3b74Q9/TK4Oo3J3JTBrch3I3S6WPUquueZfgXSOez3/4NMe2+QxSG5lx6LxB8dE7844UqNQyhKSEW7hviHhdx3AVY5JYZ3YcEMoBul8wAE/akn1YQLukpWvZV68H0zYiRuF343cfCkHWkgBVLAmDIdVmf0UuDtvkDh573/AdK/hHZsiWzhSjNzN40/nE3iveFkZ+Zq7faFMcajwv54/yYZwAraiXsZX5gYzCEIF46GmND+uAZa+NBuMtVc51k1gp8TlIrLOg3bawpedUD5pM2o0GsEdx8bLaKhOMQc1nn8QgahHz7T3AQO9luf5AM//qUSbEbcZLvmrSikdTZLtdPI4VZ1hFIDmC3rue98Ln3300U8/xGRs4vWTKXr63H775uyrX/3WBTfd9Cp904eY4GTaHe3aUtIOQ5lMHxXZ4Klc7FRDWVd2AqQc1N0+vTaUzrFXFN9nQorTjtp/7q29wkHvJOZeBap/ubNWo1BnCd91BTQ+wN9DoqrKzkWBBNF8nfdpGoijeZfCHQoD2HBWm6JE3vVtD6RzDarP4hNbTo72ENpmi4slTFX45Ase1AMCzIWYwPdXMH7DU0i34nELdZoMzQaw9QoNATUWx8CA0a4jY+eITLHt2h3vd+6pHc6D4LdlaNa1f06Mv3GZcRAn84/7KfC59dPMKXMVDTGVFubPDzL+IdV4Mp2rrp0YBc4+e+0f9t33T4fsuuuukYd/MsW9ey+66OfZ9defoa/9lDL+EgM1p40Yavj4Cxk50J2EXau+tKcNQhxfdZxxGXu9mjZBaGrUwjXCV+L54qIatPEMKtMsNwp1cBt1H90I7jKv/ImToWl17eygQGLipnNAwChY1LO38B3JN3MDGaFMYwE0BP8kCSbPpR5poZergepGunH4k1BfDeHH5bgKl1GjkP+a78KiBpHp5TZuSTEkDYOx7ei5ZACYEcYw69hoRo2gxQbXrt2xfqdN7Wc6KigAfYijmWmo+msrWALjP4LPUziGNJoK858o1afpussvv3rjjTduyBYt6ifFw+SY/6JF82H8f8w2bapP1UAjojaSrzmYhXbE73WRY/PxiRm9kFpoLwd7jV2RaCsXq3USj1kY8GKfTOZIqKZkJvbf4spKnT05r6SPJmL+nas+1Az/TNPrq5qdYQrw3jdzy0/zvr+UFgFTRkd8QAO64VNnApLK6bqssEBi0ZXLQTlyx+2QcbjR9SQEf53/1TAcY4dxjUZitIRIJ6EnUduS2kn2igiIdKyD2ccitJHveqf9bDLuxNzDpHSr2nZmlAoV858I1abxmq1bt/6WYK8p8/hhfwB7qwQ0ocLg19CKG2QYig2R13tiHYdS9oS0RNrUz/lwDj1wkFhiIw+Tzo3r28x1wkB45sSGMkpppgh28g+VUoMoXsbhIoX/fv7vtCvGW5V7MAV4x3rMfBLIkLHVRyBY8S7GgtlXWRTKwneFFRcK7D3aNutGDqOxhiYwqpcX54V/fsM1uD0Hro8EH7uQwXS30n5ncSC0o7t1QxOR7+rmjFbQ+/e0LSyqEKNGIPQ+I6Vi/jNC5s5vQjbPK2+77bYpYf7aDNatW+fNu3LZTJK18IseDQ5MmHyugYx86RMLSy9hojrwTE11WogHmEbXygEn17gF7UBoSSOe7pgaaIVvWuxStO/C9ELq6LQgZKSNY0KLU7v+VL/PXgrAjPX0aeQNMsXzuxgTSOsDSvJRkkbwZb4aOSwcYj0WjMxsoheM9nScdx449sidfwJabx+eZ73uQuY4xAMoMo12FJiV5pCLTcPPX6MtC0HENKhdo6mEG6rBXlMK1zY/W8X8Z9k4Bue/9ZJLLsme/OQnZ5s3twi1XfW0sQ/wL3/5Sxtpa3BNUjXMOXKF6yWBOlx3y71JBTsxuTAERwoF1OdcaGYtn6ZZHtcLopS0iiOpz2Jh4JXh/oHJthTqOYafx+/Ww9ZQ5d/paqDcQysnGBKoRxfJ3pQ3KAy+GoOHSjL8f5dxpLMCxmHTSquJXoUnWBk5PLzoYso5jcS6fMK0TTddEEkcO5SpbbS4mLYjcZL2Q+Knv0CavcYTMPYL9jqIjKFqDPr2T5whjNKJivm3ezMz//stv//97wfx1NFYM6ki5LNw4cLLaGREdG8piUf0Ip4JkdtGFzUZvdGtDu4JF9rGvTNS79J2GJw0mInLaxQet3BtfwntFEu5hn7UP5E26h5xHRMVl7/tTJJ566m7Jqn17W5R/T6HKJBcJE9kXOni68YxCiK4f64Jl8lGYexgCM4uKYUVvYgOWkNdJPOwQW0ci2RN0ci6NOspxH4F4WLqvHNP4o4Cru7ux4m6iUa8QbJbuSgBN0VKC4Ug4lFqP6Fd4dehUqYlqW0eS3MZrf8V8599E+EXixb13Tw4WOwzmSwPvb3zsxtv/H22fv2V7IK1KizHJX5fx/0t9jFVvTQy0AFuauO2jLkdqUrXulxYB8Oa+cRzjW4YtdoX+obGoRG3fiDXKcG/YyxmTl0nMAE/7rhVJ0tn5GapSkWBMSmQpGvyBsV+wQR2mTeoIFFgeAQNFf7XOPxu6hkZTp061yzXbdmMoiOEqLuZdtgcvuFRLjSRaZStKpfDpHOhJOdYVx4c1Ne7SJdkNRNgTedubSn/P47/EQ5j7hqTQKBbDZvBINHQyz/Hubdzzv6MWyrm345CM//7LZddduntmzbduk+tlrOj18R8/efPN4//jdnll/fWLr10BRKyCdNiX1CYcsFgzKdEjWQQgn8WeOvkGmNRSwtU5pqRjhq42pZyMhaG5xuJy7WRyC1c9YYXFhcmVPhP83tODp+ZM461fZCqwk5BAcZMYO2MO7VS/fCBDCNvkJL6UCkZavYJ6ikkIWgUbiepRqxdQL/9MUsDxqG+7pd6xqkRHM29tEWZYG6Eh1E74nGNTgsuIheUjD9SRqO5FxiMl2MXiP2kv4iv/zLOu/2kNq8hO8do7bcw/xL3ylAfqiCvdi9jmn5HXTxh3vnnf6zvHe+oZb29vQR6TSxAUMn/2mvvjbvoxzV66h2jVMLG5wMTa7DpgUs8vo5BuIYXUJ22I4jFTc47NizTxpO4Rgle75yzaUusdNSVLuGxx1Df4LHPpQk8Ta+ganYuUIAxBHySXYxAoa1IOAgBqSBGYE1LjAr1FESMJ8BrqI7TQc3IYQMPsR+swZts3EXAuWadxi5kGpf17qFNs87WDCLryEjcfBeu0cjsYhULFu3pPYev/yALWqDFxhacyXm0gPpK+jmqZjxc8tfd6Jq58PJn7zP2Zfvsc8Z9jz/+ea/dY4/dMyN9J1J23703+/CHz+TS/8sWhavOmUgbw69hMCndy7TBRXMlI/KhjDTCjnWvlSuPZ9E4GIYfbp5ilmzcMTCmG2oZuZjjVhd78prLf8Iuq1Px/FUb9zwKMH6/z1N9n7Gm9vqPjHHxdvNctTDMxHA1FhM5bDLAXJfPo5kPeMHVlObHhXT43VibFElsWuowEh9BW0JJegq1aB6dUrqck9krOJhXPQrvzQWX55q5fv6Lk6Q5abU/tDD/pFpUPtGdUn6a6r3znT+44eabf5U9+MFPYPvFto46o/Zizz3z7NZbf2s036QCvEqjk7BO+PkrVmgo0wuoYxsBbfTThtAT3kQFmGqBUTmyMo5aqA9EVeh6hxEt7AbGAVSlosC0UYDx2MjeqZeNWL3ulkarK+S0FM41IoHF9nVO0NNHwcRdyNq6F1NnHXXds1iXZ+eEkBBJBiNtupHE3cxZGcRZHF/lEGrdmwNIqKBvkdyLmAY1gsF/5X4uAMY6RKkw/2kbThNv+Pbbt9129dXXZE95ymFg/l1rhREjsHnzndnNN29QijECsKtSYop18ETznGQkvoqc/gZhdaUV0g45egrdMHG3C9/7t443sKlv5K6TQGMbuzWtMX9LVSoKzBgFGJ9nMw7RlGMjeZLHRY4fN5QZ4bWTsP33UEcHBxcB00qTXmSrew7/b7tOJ8inseg4V4DcizewEBCrEEZijbnjwrQN+8Kwe7W4s/ob/dLrrqVUzL/dG9oxv597xx13qEZO6P2Y0G3Dhg0ZPv4kulrVseqA6kv+m9oTuS+qZI5kXxi8ovG24zbSQFvKtRhmwx6AphCbo4yZJZGBidE4ArQO4lNf7HfuGLJXd60oEEFgzr0zGJfipsKOegkJywg9jtB4kzRNdLEpHHRe6HMbSRaL8BAa1zjcoDf1hH80MGsk1rXTeahGgPAWexJPKvKX60fECEyIuVQDZNopcPNll122nTQPtUawVjd3dA9gdwRjY5i2GHlSPcUfcSOL9A2qtLhPDoxQd9v1gbbE8w+D6TOAa+RNGWjxpR5+PfVxPc2Ox1cfbH/edxjkJnKbtEG6XT+r3ysKdEIBxqIGt1MZp3jNBAzJPsPLgSBj74sRwgznhF3OKBeOZcwD9xxeoRODAo22hbYljf+GVw/eeRmOFcUrua8LkvEyOkaM8IZTW+d8S9R7u5tVzL8dhXbM75tuuOGG60jPIKbYdZk/fz7+/euzW265ZczUCQwWff1NqIa6aVBJuLt1Hc1bqpMRiYshuACrtJ014/r2l9vO7eFksg94Xcz7tzRxun7W6oKKAtNNgcRslezx+HERKN4JM4aZ518ZSytmDqylX2u55lDtXSly2AXg7E416QSRiuW7C5nZO/XEfDLff8enm8/ottoo80u7wTaErhM7CiyrmP90j5wJtA9Uc/tZZ531c3L8PIgI3a5TO8v8r7zySvcDaFEVS3jFNAj5Uj6VUmC8Od5A3W9MTVtKJfrcM7gjrcLJtLN+vMeF6aMWL8YlzURxxTqu0Rd5VJ/+CZCtuqSiwLRSgLG6kRt8tMT4C+CgQrwfjdUtT0eXujl/Kb9fSj0gzXB6MNq4YRzu2GmCdrTdXVlq6rEV5XP5/pI0j3QZ/R3MH+PuAre9fBX/j6t1S6iK+U/rcJl441deeclN119/TbZ06VKMt527ewoT1WpF9rvfXW2EnwEhvOM6UnnNjIR7cE7p/qNAMuMy6rF6TnvYBTTiutl7RBiuZqCNm+dclZT6R1P/MA4WpJz1baAj6WTiFKyurCgwPRRIGP+HGdcaadEEcjeRVxIf00GB39TCG3sOKzRpR0Bo2oqH0N17DrfrMe3oAfJND67XkULI1q0tmU/FD5nnZiz9DrDTm9A+3jtee8ODvFDHtxIw0DexsNJ2Pa9+74IC373+F7/Yku2553x24+p8jS6Z/5bssstyBsn1SAYZHjQ1JQy8ZwbADCdWGGjmGMGjIXL16HpJfvyBtm7BZfBMbKvHYhNh5x0Hgk2sp9VVFQVmhgKMZY20QEArSEmSkdPHDKHaulbj+z964Tdtaf+dbG0sAr3EFkRaaXMIdQW7Ut9I4c96J9rTSHwch/sGcNTQSt58GN7Z/0K9Ub30hnGVOsE7veK3eHdU/H9mhtBod8kR9Vfd64wz6tmf/jQv27KF2Kgycq9tmcem7Vu3biOV86HggvsZjq6bGq5jEysMKn38jcRlQBSmUj6vk5bKRFO5jB97wlYMyCeu7+S6qk5FgZ2NAom5/hdzxRz9x8HMYephQ9N5YtSSJPjTuYaUDHV5LsFYy51jaALjRw43N0gW0HvDs41+RzDLdbjQaSOVHtxVB5/KPV7N/bBXtJZhQV5r1vGzR1V2MAXYauj+97vfK159wglP2WXjxhFeWmP2btGiRdnFF1+WffSj/wc3s99/ZSKPwWBRelA1JQAltmdkIA90NC5g+kBMwfSxKeTAS91JMxPpb3VNRYHZQAHGOrEsmb7+asm6aZo3yG0lxf1HLclWIFz0La4zD5Bppd2lThdpg8baSOF9Qq5er5OFEcR6/OhI8TCOfoRGbXOmp/gEnyuaNe/O8YTZQN251Ycb2ILxmttu2/rwu+6al5Hls6OnJyNo9rOfXUmAV0awSXeFAWJ0oMEt+vmjUuZAO+MbcRt34FqCwjIlEF01T+G6Zk+E7jpS1a4osBNTgLFPkjXTQ68wetcNWo5Oi8C4cyJpCuwhvOxg6hsceRjX6pThTmOjOkZwXoPg+nSMiISnD6ZqX8rhIrBI+1tacCqD72wdY1hE7zrttNOuvfHGmx6+9957k6Ctszgrd+9av/5afYJNXNVRKXOY589hsGHAcl/Rbf8FTDOuEbeJ6SNlhPubSddUdTu+b0edqypVFNhJKcBccDeuH8FwyWVVfxWMnNQKMUdIHTF2ScnltCUQXa+HUGF8AfaAbRqHjdrvuCTNwcVoRKkk/47JOPMVr7jiisvw93/2vvvu2xHz19jLTmDAPheL9bcN0oLpk/Ojpu+wWT/P5/gIg6WtEVdKcC0xCDUMTMXuST3tyBYw81Ss7lhRYMdSIBmAz2XOiO27bzD2uFxb3LgpIBJEk9JKGzncS36eWEDUBFqMw8mjTqm+M4iAjlTMf8eOi3HvjhR/2XXXXZc95jFCge3LvHnzMBD/iYRut16M5tCy00/j6lINrJvBEOOQhuUIOmnrE9x0/RIYPlG5kUCKawf0c65KRYGKAm0ogERP6vLM3EFK8yaPw1soFyJ1e9MxS4J8TqeCBmKdL4gcXs6/BfNvjdHApqQY5BypqZeRtn1NR4kQK+Y/u4fsNUjx248//njzfbQtfX19mfv//vSnP/3Ns5+tzfXuwqDBjdd8O24JlyN5FG6e3rFrGdebbM38O3g05OxvOv5GEW07W1WoKDBHKcDccbcvk69hIyuWwbRNengq5ze2Iwl1TM9+Dtcv5dOtHYFrc/cMMLMnMTQ9Z/HbX1PPvETjlor5t6PQjv39ClI0/A68/36d5Pgxp8+1115nZK+ZAqOUuGEYcUmT7OCI7RE79rXnelM6m4pB74G1yYOn86izHUu/6u4VBWYlBZKh9jTmF0w65tdb+G7yOL2DDNAct1BnHRVMC02MQUHUfP4m/mcR6DFl89dYFE5AuBs3QWLF/NtReQf+bpqHU0751NV/+tON9+vv7wf3H4/nDmZ9fbXsBz/4tl4Bv2RQyOx1GcMP2GRtuW5eHadSSJoC8E5B0rWMyMGr3rBq1akd2QN2IMmqW1cU2KkowJw0zcqnmW+78qkN7e18F8oxg2jb+UYdA7jYc3gZKR/y18D8gWONCcpJI7EcR45b/5VtUb3HiDI8wtcO9O9U1Ltnd7Znjz3OuerXv64fvu++82D+Yye87OnJ2bD9tuyaaw4moOsuI/107RKPNwtgx5ky2W2LIJGDjua6J5aeP9mbub7tBhX37NdQPV1FgemlQBLMjPxNaaSH8gZp3B1z/lLf3Fq4hQ4i/fco8BkRmkr+d7DzQ6nzAtoY4SU0XPJfwlUmDarK7KDAtltvfeXCj3zkhuzJT34gu3rdwUYto3esVptPDv9bsgsvvC94fm0tL7urVA4MEMeCvsW+f3KOYEOaRGTw7CBf1YuKAjsXBZhzZMbNPkLkLja2Xh0rzCB6HhCO2T1HFOqbNI7td3s+zo+mXiHXT2am3qUcBJv14C0ySJ3lf0MbLXaAYRG+sfGAR1VmCQWI9L3g0Y9+04te97onLti0aexI31133S375jd/iHbwdx9bteoPXTJ+w9E1BmduXbemnffBLCFN1Y2KAvdYCuDPr6v2+1gEwPR7j4d5C+uYN2jIntd4eM4ZBGSaZ8tQJl8WBZO8sRD0sCD0HGBbtDuU56fC/Gf/8Lnu3HN/vPG1r73j3tu2zdOYO2qPFy5ckF100TqDu8bM4T/8wjIRVS7TZ6Dl70744eynSNXDigJzhAKJWb+ttOEV5g3C3z/2EWjrnk0dN5xRi/fQ+aPFa7Bi/rN/EG254YbfX7hp0+3PN7f/aMxfL5/Nmzebw19/4VGj+ZofE6ZvTn8zdBILkH+YQdKS93/2k6TqYUWBuUUB5qjpWt4KAyf1SkbKiGW4idYMFHNvABm7gDC7fm29igVD6GhEGW47qJj/LB9DAO+Db3/723/zi1/8Atz/yaR3HumwY3AXLqGkcb7M4K5RLftpgGgcchMKBkr+eQaDrmVVqShQUWAnoQBzFnw/uxzmb96g55VJ4PLTOP9zvuPk0WdaiKM6sddVzH8neOlbtmxZe80115xw+OGkCBmlLFiwIHbuYutGc4mMKAwU3DVrBmiRf6fAhWxNVzaBnYBEVRcrCswpCjCHG3mD3D7ViN9nmGYF465ppb/LAnA0C4D5/scsFfPfOYbML3/0ox/d+cpXvrIpV/fdHXfbxnXr1pnXB3/8u0uZfyd/OWdg+nXzhHe0ifTOQZKqlxUFKgrA4I0JcMc+8gYVf49hl2CgnqWcM0X08/ndNNOjlor57xzj5/prr732UiCfxwnxbN9+t9uvkb9m/ATycVvEBv5335R/B3exnA1YVn9z53jMqpcVBSoKdEMBBLzD0Opx3Bh074CDuFYPHwsbvg+yneOKFzL/W4TCRvsV8++G0juoLjj+9pNOese6G2/838cdcsgh4e+v4XdwcDBzMdi06ZbsV786j63jBhesXFn8DYwf97D827z0ccO7d9DjVLetKFBRYMooUCcQs4aLdo+p1NkHIBMbJrI3YyHo2Z/PH7AAPAde8I3htxwe4XsfKhgo4G4wVZk9FMCF88LrTj/98uymm/aC8Q9mev4sXNiX7bXXHtlPfrI+u/zyv3Mz53/mYDDkJ/Gyq3c4e95f1ZOKAtNCgbTvhntvNNJDu5k8SRwznDuKv4AXEB8w+AFsAmRvCMPwEF8YLvlTOVtSMf9peU+TaRSc50t3rV59KZL8H2H6u2S77JJnixbNy3bf/U7SON8vu+uuN+riySbQA2N6+0ymA9W1FQUqCuwcFIDBmxjO/Tk8yPtzwgGgQe7ZIb8fShA2PMJ31BDineORq15WFKgoUFGgosBwCqTdv9rm9qkoV1GgokBFgYoCc4AClcF3Drzk6hErClQUqCgwnAIV86/GREWBigIVBeYgBSrmPwdfevXIFQUqClQU+P8XAancfpPA3gAAAABJRU5ErkJggg==)
PROCEDURE
1. Choose any distant object like a tree or the sun as an object for the experiment.
2. Held the lens vertically inside a lens holder and lens must be kept in vertical position during the experiment.
3. Place a screen on the other side of the lens.
4. Obtain the image of tree/building on a white screen or wall. Move the lens to get a sharp image.
5. Using a meter scale, measure the distance from the lens to the screen.
6. Repeat this procedure by changing the object.
OBSERVATION AND CALCULATION
![](data:image/png;base64,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)
Mean value of the focal length
= 13.25 cm
RESULT
The approximate focal length of a convex lens = 13.25 cm.
PRECAUTIONS
1. The lens should be kept vertical inside the lens holder.
2. While measuring the distance, the distance between the sharp image and the centre of the lens is to be measured.
3. The lens the screen must be at the same level.
AIM
To determine the focal length of a convex lens by obtaining the image of a distant object.
Answer:
MATERIALS REQUIRED
A convex lens, a lens holder, a white screen such as a wall or white painted board, meter scale, distant object.
THEORY
1. A ray of light passing through the first principal focus or appearing to meet at it emerges parallel to the principal axis after refraction.2. Convex lens converges the incident parallel beam of light on the other side of the lens.
3. T image formed by the convex lens may be real or virtual, inverted or erect, diminished, the same size or magnified depending on the various positions of the object.
4. Focal length for the convex lens is positive while it is negative for the concave lens.
5. The lens behaves like a plane glass plate when it is kept in a medium whose refractive index is equal to that of the lens.
PROCEDURE
1. Choose any distant object like a tree or the sun as an object for the experiment.
2. Held the lens vertically inside a lens holder and lens must be kept in vertical position during the experiment.
3. Place a screen on the other side of the lens.
4. Obtain the image of tree/building on a white screen or wall. Move the lens to get a sharp image.
5. Using a meter scale, measure the distance from the lens to the screen.
6. Repeat this procedure by changing the object.
OBSERVATION AND CALCULATION
Mean value of the focal length = 13.25 cm
RESULT
The approximate focal length of a convex lens = 13.25 cm.
PRECAUTIONS
1. The lens should be kept vertical inside the lens holder.
2. While measuring the distance, the distance between the sharp image and the centre of the lens is to be measured.
3. The lens the screen must be at the same level.
Viva Questions
Question 1.What is a spherical mirror, give its type ?
Answer:The spherical mirror is a part of a hollow sphere with one side having silver/mercury coating, further coated with paint to protect it from damage.
It is of two types :
1. Concave mirror: Silvered at the outer surface so that reflection takes place from the inner surface(concave).
2. Convex mirror: Silver at inner surface so that reflection takes place from the outer surface(convex).
Question 2.What is an aperture of the spherical mirror?
Answer:It is the width of the reflecting surface from which reflection takes place.
Question 3.what is centre and radius of curvature?
Answer:, The centre of curvature, is the geometrical centre of the hollow sphere “c” from which the mirror is formed.
The radius of curvature is the radius “R” of the hollow sphere whose part is a spherical mirror.
Question 4.Define principal focus and axis?
Answer:The Principal axis is the straight line joining the pole and centre of curvature.
The principal focus is the point “f” on the parallel axis where a parallel beam of light actually meets after reflection.
Question 5.Where is the brightest and sharpest image is formed by a concave mirror ?
Answer:The brightest and the sharpest image for the concave mirror is formed at the focus.
Question 6.Comment on the image formed by a concave mirror?
Answer:1. Virtual, erect and enlarged image of an object is formed behind the concave mirror.
2. The real and inverted image is formed in front of the mirror.
Question 7.Why concave mirror is called a converging mirror?
Answer:A concave mirror is called a converging mirror because it converges the parallel beam of light ray after reflection at a point.
Question 8.Give two uses of the convex mirror?
Answer:The uses of concave mirror are:
1. They are reflectors in the torch to reflect the light rays.
2. It is used as a shaving mirror to get an erect and enlarged image of the face.
Question 9.What is the difference between a real and virtual image?
Answer:A real image is obtained on the screen, they are formed by the interaction of a ray of light after reflection.
A virtual image is formed when the ray of light appear to meet after the reflection; Image cannot be taken on the screen.
Question 10.State law of reflection of light ?
Answer:1. The angle incidence is equal to the angle of reflection.
2. The incident ray, the reflected ray and the normal at the point of incidence,all lie on the same plane.
Question 11.What is a lens?
Answer:A homogenous transparent material or medium bounded by two surfaces at different or same radii of curvature is called a lens.
Question 12.What are different types of lens?
Answer:1. Double convex lens: if both the refracting surface is convex, it is thicker at the middle and thinner at the edges.
2. Double concave lens: If both the refracting surface of the lens is concave, it is thinner at middle and thicker at the edges.
Question 13.Write the lens formula?
Answer:Lens formula:
![](data:image/png;base64,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)
Where f is the focal length of the lens
u is the distance between the object, and the lens
v is the distance between the image and the lens.
Question 14.Write the mirror formula?
Answer:The mirror formula:
![](data:image/png;base64,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)
Where f is the focal length of the mirror
v is the distance between the image and lens
u is the distance between the object and the mirror.
Question 15.When does a lens behave like a plane glass plate?
Answer:The lens will behave like a plane glass only when it is kept in a medium whose refractive index is equal to that of the lens .
Question 16.What is the way to increase the magnification power of a lens ?
Answer:The magnification power of the lens can be increased by using a number of lenses.
Question 17.Comment on the magnification sign for the concave and convex lens?
Answer:1. Convex lens, magnification is positive for virtual image and negative for real image.
2. Concave lens, magnification is always positive because virtual image is always formed.
Question 18.What is the power of the lens?
Answer:The power lens is the degree of convergence or divergence of the light ray incident on any refracting surface of the lens.
Question 19.What is a factor the power of lens?
Answer:the magnification power of the lens is inversely proportional to the focal length of the lens.
Question 20.If we cover one half of the lens while focusing on a distant object, in what ways will it affect the image formed?
Answer:A full-size image is formed, but only the intensity or brightness of the image will reduce.
What is a spherical mirror, give its type ?
Answer:
The spherical mirror is a part of a hollow sphere with one side having silver/mercury coating, further coated with paint to protect it from damage.
It is of two types :
1. Concave mirror: Silvered at the outer surface so that reflection takes place from the inner surface(concave).
2. Convex mirror: Silver at inner surface so that reflection takes place from the outer surface(convex).
Question 2.
What is an aperture of the spherical mirror?
Answer:
It is the width of the reflecting surface from which reflection takes place.
Question 3.
what is centre and radius of curvature?
Answer:
, The centre of curvature, is the geometrical centre of the hollow sphere “c” from which the mirror is formed.
The radius of curvature is the radius “R” of the hollow sphere whose part is a spherical mirror.
Question 4.
Define principal focus and axis?
Answer:
The Principal axis is the straight line joining the pole and centre of curvature.
The principal focus is the point “f” on the parallel axis where a parallel beam of light actually meets after reflection.
Question 5.
Where is the brightest and sharpest image is formed by a concave mirror ?
Answer:
The brightest and the sharpest image for the concave mirror is formed at the focus.
Question 6.
Comment on the image formed by a concave mirror?
Answer:
1. Virtual, erect and enlarged image of an object is formed behind the concave mirror.
2. The real and inverted image is formed in front of the mirror.
Question 7.
Why concave mirror is called a converging mirror?
Answer:
A concave mirror is called a converging mirror because it converges the parallel beam of light ray after reflection at a point.
Question 8.
Give two uses of the convex mirror?
Answer:
The uses of concave mirror are:
1. They are reflectors in the torch to reflect the light rays.
2. It is used as a shaving mirror to get an erect and enlarged image of the face.
Question 9.
What is the difference between a real and virtual image?
Answer:
A real image is obtained on the screen, they are formed by the interaction of a ray of light after reflection.
A virtual image is formed when the ray of light appear to meet after the reflection; Image cannot be taken on the screen.
Question 10.
State law of reflection of light ?
Answer:
1. The angle incidence is equal to the angle of reflection.
2. The incident ray, the reflected ray and the normal at the point of incidence,all lie on the same plane.
Question 11.
What is a lens?
Answer:
A homogenous transparent material or medium bounded by two surfaces at different or same radii of curvature is called a lens.
Question 12.
What are different types of lens?
Answer:
1. Double convex lens: if both the refracting surface is convex, it is thicker at the middle and thinner at the edges.
2. Double concave lens: If both the refracting surface of the lens is concave, it is thinner at middle and thicker at the edges.
Question 13.
Write the lens formula?
Answer:
Lens formula:
Where f is the focal length of the lens
u is the distance between the object, and the lens
v is the distance between the image and the lens.
Question 14.
Write the mirror formula?
Answer:
The mirror formula:
Where f is the focal length of the mirror
v is the distance between the image and lens
u is the distance between the object and the mirror.
Question 15.
When does a lens behave like a plane glass plate?
Answer:
The lens will behave like a plane glass only when it is kept in a medium whose refractive index is equal to that of the lens .
Question 16.
What is the way to increase the magnification power of a lens ?
Answer:
The magnification power of the lens can be increased by using a number of lenses.
Question 17.
Comment on the magnification sign for the concave and convex lens?
Answer:
1. Convex lens, magnification is positive for virtual image and negative for real image.
2. Concave lens, magnification is always positive because virtual image is always formed.
Question 18.
What is the power of the lens?
Answer:
The power lens is the degree of convergence or divergence of the light ray incident on any refracting surface of the lens.
Question 19.
What is a factor the power of lens?
Answer:
the magnification power of the lens is inversely proportional to the focal length of the lens.
Question 20.
If we cover one half of the lens while focusing on a distant object, in what ways will it affect the image formed?
Answer:
A full-size image is formed, but only the intensity or brightness of the image will reduce.