Chemistry-
General
Easy
Question
If there be a compound of the formula
which one of the following compounds would be obtained form it without treatment with any reagent?
- Methanol
- Ethanol
- Acetic acid
- Formaldehyde
The correct answer is: Acetic acid
Presence of two or more
. On a carbon atom makes it unstable and compound loses
molecule.
Related Questions to study
physics-
An object ‘O’ is placed infront of a small plane mirrorM1 and a large convex mirrorM2 of focal length f The distance between ‘O’ and M1 is x and the distance between M1 and M2 is y The image of ‘O’ formed by M1 and M2 coincide The magnitude of ‘f’ is
![](data:image/png;base64,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)
An object ‘O’ is placed infront of a small plane mirrorM1 and a large convex mirrorM2 of focal length f The distance between ‘O’ and M1 is x and the distance between M1 and M2 is y The image of ‘O’ formed by M1 and M2 coincide The magnitude of ‘f’ is
![](data:image/png;base64,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)
physics-General
physics-
Consider a disc rotating in the horizontal plane with a constant angular speed
about its centre
. The disc has a shaded region on one side of the diameter and an unshanded region on the other side as shown in the figure. When the disc is in the orientation as shown, two pebbles
and
are simultaneously projected at an angle towards
. The velocity of projection is in the
plane and is same for both pebbles with respect to the disc. Assume that i) they land back on the disc before the disc has completed
rotation. ii) their range is less than half the disc radius, and iii)
remains constant throughout. Then
![](data:image/png;base64,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)
Consider a disc rotating in the horizontal plane with a constant angular speed
about its centre
. The disc has a shaded region on one side of the diameter and an unshanded region on the other side as shown in the figure. When the disc is in the orientation as shown, two pebbles
and
are simultaneously projected at an angle towards
. The velocity of projection is in the
plane and is same for both pebbles with respect to the disc. Assume that i) they land back on the disc before the disc has completed
rotation. ii) their range is less than half the disc radius, and iii)
remains constant throughout. Then
![](data:image/png;base64,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)
physics-General
physics-
The resultant of a system of forces shown in figure is a force of 10 N parallel to given forces through
, where
equals
![](data:image/png;base64,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)
The resultant of a system of forces shown in figure is a force of 10 N parallel to given forces through
, where
equals
![](data:image/png;base64,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)
physics-General
chemistry-
On reacting with neutral ferric chloride, phenol gives
On reacting with neutral ferric chloride, phenol gives
chemistry-General
physics-
An air bubble in glass (m =1.5) is situated at a distance 3 cm from a convex surface of diameter 10 cm as shown The distance from surface at which the image of bubble appears is
![](data:image/png;base64,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)
An air bubble in glass (m =1.5) is situated at a distance 3 cm from a convex surface of diameter 10 cm as shown The distance from surface at which the image of bubble appears is
![](data:image/png;base64,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)
physics-General
physics-
The fig shows a mixture of blue, green, red colours incident on a right angled prism The critical angles of the material of prism for red, green and blue colours are 460 , 440 , 430 respectively, The arrangement will separate
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58pSlUrQt1Byxl+LpL7PXREJJoIdnuwuYRzzfjqWcWb1ReylyYxYJbPK4j9BmmyxfRr1kpIq7BaFo2IkKdC6tETLsWaMeMIHXLRqx3bmUU+jWlV+d4jc9HIpG8W/yOhI2vee+bcnxUcwL1Jx1n2VE/fEPCiYmLIVYTSVToI54G3SHgxgmuHFnPnmVjmTOoKd3r/0jVEoX5Pn8pvivdmqpdZjN4xRm23YzEL95G2iuekHtcNmz6OPRRIUSEBBDofw9f33vcu5fJwy8Av3u3uXf1ABd2z2TNmFb0qpyP0p/9ha8++oxPcv9I3sodqdZjLkOWn2TrpUfcCtOhMTowZ3IU9iblpaI8niIxuwNnfLw6F6ZcKkyckpGRWL8GUbUqo2negPjB/UQUtgTTyWNqKSolrd4rTgSkwCQSye/hleWlpsrnqcwnDefSYsEttl+PJkpnwuFwiAhICMViwmzQk6qLJTHmGZEPLhJwfB67Z7ZlcONSlP82F1989C25CtWlYpdZDFh/i2339EQYX+0g5rLo0T++yePz2zi1dQnLF81j1px5zJuXyWP+AjHmsWDuVGZNHMio7g3pVCU/5XP/lS/f/wt/fu8T/vr5D3xZpC7FG42m3YS9LD4exHVNGvEivMzMBPI3Lq+foVbn0CfjePoEs4jCUjauI2HYwPTqHMq6sMpl0LRoiFZEZikb16ip90prFiWCk0gkklfl98nr7+u8/Nnn+2tV5QUuPe6Eqzw7M4uNwxvQscSX5P/ff+f9v37F52U7UXnEHsYeDMU3zvH3y2ovc4h1GhPQ+p3g3u7ZbJk1mBHiIN2tV2969+mT6aNPv3706d+f3r2606OteE01C1K90Ed887e/8Kf//h/+67/+zH+/9w1/ztuUwi2XMGj9DY480REposvMrIL1NuX1E6rEUvTYHgaTtm8P2nGj0LRuogosrHQRImtWJq5XV3RLF6jPyxEWqqbhK12bZYkpiUTysvx+eTVdTJtlLyEvRUlODboHB7mwpBczG39H9S/+Hx//5QP+9F1d8rVeROdlNznzNA2LuLXySC8zN+QyJ6F7eJngE2s4tGYmc6dPZtzESUyaPDnTx+SpU5k8bRoTJ4xhTL92DGpSjEbFPyLfpyLy+u//5T//8z3+5/18fFC4HaW7r2P0Dh/OhKcQm4Mjr5+jRFNupd3Ks2eYLpxFv3Yl8UMHENWkrhqBRdSoqCZ3JIwaQsqmtVhEFKZ0enabTBmPIJFIJL/OH4y8Xqa2ocBrwRB5i/s7xrG9dwk6FPlvvvroA/7z68p8VnMCTaecYP99LXpxUyUyeRl5eewGjJqHaPzP43P+EEcP7mf33n3s3b+ffZk5Dhxg/4F97N+zhR3r5rJ0bBdGKl2iC7xPnk8+5K8ffslHXxXj21JNqNBhGj0Xnmb9pWf4ac1qCazMTNrIEpGXEjd7ParAvHY7Ll0i1qBA0g7uQztjsjoXFlmvBhHVyhNZuwqxPTqmrwtT5sIeBOFK1OKx2TIeTSKRSF7Mm5GXiKcscYE8PTSNI0PL0av0n8j1t/f5j8/L83GlkdQfe4idAfFoxS2Vw9bLzIJ4XXbsqVpSY5+heRZMSHAQgfeDCArK5BEcwoP79wi8fojLu2eydkwrelf7jtJffsBXn33LFz9UpmjdXjQZspixa8+w49Ij7oQmE2NyYFWO6xnPPzPIKpHXz1FT6sXzsoc8xHjuDPp1q9TsQ037lmqrlajaVYnp3AatiGJTNqxNv5QYEZ7e9NIjBKg0ApVIJJJ/4ZXlVe13ycuDNf4+oUdncnxkRfqW/Qu5//aBKq9PKo+iwbjD7PSPI0Hc8mXlpZzdK52NXQ4rdqsZi9mMSQxzpg4TZosVc4qGxAdH8dszhlWD6tKseG7yfPQVufJVpFi9frSasIWZh/w5G5JIhM6MwerE7s5ZqfKvgppWb7WKqCpRja6Mhw+QNHMKMR1bq+vClEuJSvPLuN5dSZo3C+OZU0JgYbj0etwWs0yrl0gkz/ES8jIIeR39g/JyCnndI2TfZPb0K0WXIv9Fro/+yn/lqsKXdafTYsZ5Dj/QKc1T1N5YWfdcWzmAimdofozm6ipOzGzNqMY/UiJ3fr74thplmo6ky4xdLD75gEvhJhKEid/ka8mq8vo5HrMFZ3io+pz0a1YQP2SA+lwjqpRT14ZFN29IwsghpG5ej/nKJRyhobgNhox7SyQSSTq/LS+nIq8jhG7qxoruP1JVKcyrymsxrV8qYUM5a05E9/g0V1cOYEGz76n39f/jsw8/5v3CTSjcZS191gVwVRzsFQUqh9cse47tURprRmAOO8zl1QOY1qIcjUoUJ8/3NSnSaDy9l5xiw7Vw7kYbSLK++coh2UFeSpFer01EYbok7E8eYTx1nKQ5M4jt0l6dAwsvX0Kt0KFp1UStnWg8cgj7wwe4jUbx/stLiBKJJJ3flpfLiDvkEI/Xd2Zpl+JULvg1f81XjU+bLaXNivsc8E9B/4v53w68llhSI6/gf2Qu64Y2pEeZryj84V/46PPC5Kk9iCbTjzPvXDQPk34renu7eL1u3OZ4nDFnCD81iXXDmtChSgWqVGhC+ZYT6DL/BOuvReIbbyNJRFxvQxPZQV5/RzwXj5CYMzpSPL/z6FctT6/OIaSlCkw8d6XdSuL40aQoUdjVyzjCnuFOSxHbZNbeViQSSebzYnkp2WIetzjRdeM0J5LmuxOfRa2Y3bog5b//gveURcqN5tFi4W123NAQrTdjdziw28VQv9uwW1Kwpkaje3qZgCPz2T5JWaT8I1W+z81XnxXk6xJtqdFvJRP3+3P8qUG9xJZ18eJ1W7BqH5J4dSlX5rViQvu61K/TjobdpjNgxTk239bgG2Mk0ezG/qZDrgyylbwUlLkws4i442KxBvhhPHYY3ZIFxPbopK4HU8pLRTdvoM6FJYooLG3vLmz3/cVr0YqTIot6/yz3miQSyRvheXl5XHjtBhwGLSlJ0UQ9vov//rnsHlaDgTW+oUiuj/jfL4rxfoUBVB24gSnrTnD0wg1u+/hy19cPn3v38PG5zd2bF7l58RCndy5k/cSujGpbhaZVy/BjyUoUqtiBGl0XMGL1Bfb5x/Iw1aWWTsq6OESUEIf+2SX8Nw5nfc8a9G3ZiqY9ptN34XE23IohUO9GZ/fieotXtrKdvBSU56SsCzOKbS4iTI2w9KuXEz+4L5rWTdNLTNWrrlbnUCKzlC0bMIvX6Hj6GLcuCa/SLyzjoSQSybvD8/JymsVB4Sn6J1e4f2UvBzbNYd6gZvSqlIsKX/0XH/7X/+X//Nt7/J8PCvBxgRr8WKMFjdp0pXOv/vQeMIT+gwcxoH9v+vbsRLd2zWjZsAZ1KpejUoVKVKjZkuqtR9B54hbm7b/HyfsJPEm2YRAn0Fl6NsOTjDvFl6jbm9g5oj0Dq9aic+exDF55ljXXogjUOVGqW72lgOvvZEt5/Qx1XVhSErbHjzCdPUXy4vlqNQ6lQn1Y8R8IL11UFZp20lgRhe3EFuivSk8ikbx7vEBeRlzaIBIDT3D72Co2LBzNmJ7N6FCzNDVKFKBYgfx8l/8H8uUvyPcFi1O4ZDlKlq9OpVoNqdOoOY2aNaVxo3rUr1OD6pUrUqFiFSrVbEKd1v3pMHQho5ceZevlJ/jGWYm3gzU7zME7Y3ElXCT0ykpWDu1P90aDGDF9D5tuabiT6MaYRV5DdpeXwk/P0GMyYrvnQ8r6NWpR38haVQgtnI/QovmJrF2VePE5KNU5rL53cCUmqOvCZM8wieTd4Xl5ue14jPGY4h4R9fAmPtdOcurgdvZsXM2GlUtZsWwJS5YsYdHixSxevITFS1ewdMVaVq7bxPrNW9m0dQubN21g4/q1rF21mpWr1rFm4w427z3B/jO3ueDzjAeaVBJt6Wu6ssUlH7tWyOsuMX6HObRxMwsXHmDHyUB8oo3EiReRVQ6ZOUFeP0ddF+bni+HQfnQLZhPXs7O6qDmiclm1a3Os+LeyXixt3y4hMR9c8XGyOodE8o7wvLzUOQgnHnXxrxGTIYWU5CR02gS04uAQFxdLbFycOuLi4omLTyAhQYtWHGgSk5LUkaT8f6L4mfi5+jut+LlOj05vINVgwWRLX7QrvrKJvFJx656hDw/A/14gF+9GEBiuJ9HkwCZeRFZ5DTlKXuK5KvNZnrRUnFGRQk531XYr2lHD0pte1q2hptZHN6lLvHiNyjyZ+cpF7EpGYmqqeglSRmISSc7leXlJnsdlwWNOwqIXsk7QEa41k2R04nBnrWueOS3yUhHPWanO4Vbmwu7fF1HYARGFzVGFpTS9jKxegag61dQaiUmzppK6dweWO7dxaDRq00u5NkwiyZlIeb0MSn09JRp1OXC40lPhXVnQAzlSXj+hpNVbLLgS4rH6iChs+2a040aqkZfyOsPLFSeqQQ3iB/RCv2oZpquX1YhNScVXln1IJJKchZRXDiJHy+tneAwG7MFBavWNpDnTiVUq1desTHjZYkRWK6/WTEycMYW0/Xuw3vPBGR+nXoKUSCQ5BymvHMS7Ii+lUr0yr+WMjMQi5KQkbCROGkdMm+bqwmal0G90g1rE9+uJbtF8TOfO4IiIwGMyq/fNKe+DRPIuI+WVg3hX5KWi1Ei0O3Ab0tQFy8bjR9HNn01c3x5EN66jVqtXFjfHdG5HkhKFHdirZiQ6hPDUhA6XUgJaIpFkV6S8chDvlLx+QpkLMwqBRYRjvnmD1F3bSJo2kdjObVV5KZcTo5s1IK5/L3SL52M8eRzbw2DcKXr1vhKJJHsi5ZWDeCflpSBel9Lzy52Wiv3JY0ynT6JbNI+43t3U9WARlcoQWbU8MR1apUdh+3Zj8fPFGReL25zeL8wrLyVKJNkKKa8cxDsrr5+hNr1UCv363CVt9w4Sp05Q14VFlC8p3o+i6lyYcmlRSbc3njyGIyxMvc+78N5IJDkJKa8chJSX8hLFa/R40pteRkVgunKR5GULM6pzVCGi4o9qRqJyKTFhzHA1I9H24D7O+FhxH6Vfm1wXJpFkB6S8chBSXv+MIiNndBSWm9dJ27GFJBGFxXbvSHSjOmpWYlTjusQP6otu+UIMx45gDQxQS1LJuTCJJOsj5ZWDkPL6Z7wiivIq1Tn0yWojS/OlC+lNL4cOILppfSKqliNCicLaNkM7cQwp2zZj9bmDS5ugLohW14bJSEwiyZJIeeUgpLx+GUVEzrg4LHduZWQkTiK2Szu1vFR45dJq08v4gb3VNizGE0fVS4muRC1eWehXIsmSSHnlIKS8fh2vS0mrN+CIjMBy6wYpG9YQ27urEFh5IsoVV+fD1BJTQmIpW9ZjDbyHS2l4KctLSSRZDimvHISU10vi8aiLm21BgaTu2IJ2zDBi2jZTEzlCSxQkvEJJtdCvftVSjOdOY3/yCLdeDy5XxgNIJJK3jZRXDkLK6+XwKtmIdlv6XNjTJ5gvXyBl/WohseFEN29IuIjAlPmwmPYt0Y4doUZoyvvqjIlWm1563YrE5HspkbxNpLxyEFJeL4nyPqidAtzqXJjy3iilo9L27lLXhSmLmZVeYZE1K6FR5sIG9EqfCzt1HFtwUEZavUm9v0QieTtIeeUgpLx+H2p1Dl0S9schakZiysZ1JIwcjKZFI7VzszI0rZuSMGIw+nWr1KaXyryZEoVJJJK3g5RXDkLK6w8g3huv3YYnLQ1H6FMMhw+kV6rv0IbI6hUJL1dCTatX2q8opaeMZ09hf/ZUnQtTujZ7ZRQmkbxRpLxyEFJerwdFYs6IcEznz6BfvYL4EYOIblZfFVh4+ZIiCmtCwuhh6DeuFVHYZZxKFGaWUZhE8iaR8spBSHm9BpT3SJkLs9nFe5aE9UEQhpNH0M2fRWzndun9wqqUVUtNKf9OmjUNw5FD6ZXqdTo1ClOyGSUSSeYi5ZWDkPJ6zQiJuVL02J89Vt/DlDUr0I4YgqZtc6LqVFOHmpE4bhQpm9aJ25xPv5So9AuTTS8lkkxFyisHIeX1+lGSOZTMQldCAvbgBxiPHSFp9gxiu3dS5RVZtRxR9WoQ16OTGoUZjx3G/ihEjdqU0lRqRqJ83yWS146UVw5CyisTEe+dcinRER0l3s8L6NesJGH4IDStmqglphSJaVo0RDt6mIjC1mO6dEHtLaYubpaXESWS146UVw5Cyivz8WSsC7OFBGM8fYLkJQuI7dlZFVhYmaJqiamY1k3VTMW0fbuwBd3HYzJl3FsikbwupLxyEFJebw6lQoczIR7L7ZvoN6wlfmh/opvWEwIrRnjpokQ3rqtGZinid+Yb19XWLO60tPS5MIlE8oeR8spBSHm9OZRivW6LRe3abAv0x3DsEDolCuvbg6iGtYmqU1X9DGJ7diFx2kRS9+zA4ueLU9zeYzHLz0Ii+YNIeeUgpLzeMOL9VCIpj8mozoWZb14TUdgatRJHTLsWaiJHZJ1q6V2bR4gobPN6zFcvYX/6RP2s1LR6+ZlIJL8LKa8chJTX28PrcKbPhQUHYTx5nORli4gX731Uo9qEly1OZOUyxHRsTeLk8aTu2Irl7m3xeSVn3FsikbwqUl45CCmvt4wSiSl1ElNSsAYGqE0vlRqJUfWqE1b0e8JKFFAXN8f174l+1TIsPndUgakp9bLdikTySkh55SCkvLIOqsAe3Mdw5AC6uTPUmohRtSoTUak0kXWrql2cE2dOwXBwL9Z7PjhjY/DYZIkpieRlkfLKQUh5ZRGUCMxuVyttOKOjsfr5krZnJ4kTxxLTuS1RDWoSWbMikSIiUzo5Jy9fpNZRdDx9rDbJVNq0yLVhEsmvI+WVg5DyymIIAXntDnWhsi34gYjCDpK8aB7xQ/qhadWIiCpliKhZibieXUiaM10VnJJ674yMxGMwqJcgJRLJi5HyykFIeWVN1M7NJhPOGI06z5W6V0RhUycQ1axBRjJHWXWNWHz/XiQvnIfp7Gm1qr3HaBQfqhSYRPIipLxyEFJeWR+3EJL92ROMZ06SNG8msV3bEVW3upqNGFmjotr0UqnOYTiwF9s9H1xCeB6zXBcmkfwrUl45CCmvrI8ShbmVdWGaKHXRctq+3WinTFDT6CNrVia8fIn0jMQ+3UQUNhfjqRPYlbkwWWJKIvknpLxyEFJe2QGvKjCv04HHasUZFal2ZVZqJMYN6E10o9pEVChJZLVy6kLnRCG2VGUuTMlIVKIwo5wLk0gUpLxyEFJe2Q+l3YojIgzzjauk7t6utlWJ7dZBXRumtFxRLiPGD+6HbvFcDEcPYQsKxK20W3HIGomSdxsprxyElFc2RHwmXocdtz5ZLRtlvnQB3fJF6mVDpbiv0rk5sk5VNO2ao504hjQhOHVdmFIj0WRUIzivW6bVS949pLxyEFJe2RuvzYZLG5++Lmz3DpKmTya2czsia1YivFxxImtVJq5XV3TzZ2E8fhh7yEPcqSlCXu6MR5BI3h2kvHIQUl7ZHRGFuZ14rBacMTGYr19Fv2YF8QN6CXFVIaxkISLKlSS6UR0SRg0ldZeIwgL81NYsHlnkV/KOIeWVg5DyyjkoSRkupV/Y3duk7dyqps/HtG9NlJCYUmIqqmEt9bNVCgAbjh/Fej9QfMZJMplD8s4g5ZWDkPLKQSgLm61WNTlDKRtlvnJZbWyZMGIImhaN1EuJymVETdvmJIwZoTbENN+6gTM+Tl0XpsyFyRJTkpyMlFcOQsorh6F8XEpavdUiorAErPd8Sdu1Xa3OoRT2VTISI2pWVPuFxfXvpTbDVNaFKRmJzrgYdW2YkpYvkeREpLxyEFJeORi3W6136IgIV9PqUzauJX5of/XyYUSFH9URVb8m8YP6ol+/CvPN62qleq8sLyXJoUh55SCkvN4NlAodtofBpB3YQ+KkscS0aUZE5TKEFcmvJnTEdu2QHoWdOZlenSM1Ve34LJHkJKS8chBSXu8GSmq80i/M8ewp5kvnSVm/Gu2ooepnHlGhFJHVKxLTviXascPRr12J+coltTWLcvlRptVLcgpSXjkIKa93BOVzdLnw2m24dUnYg+5jPHKQpBlT1XVh0fVrqMkc0Y3rqNU6dHNmYDx5DPvDBzjjlcXNJrGxyLkwSfZGyisHIeX17qGkxiv9wuxPHovP+Tz6DWvQjhtBTMdW6nxYZO0qaFo1IWH0UFLWrcJ0/iz2x4/wGIwZjyCRZE/+sLy8Xg9ejxuP24XL6cTpdOF0uXGLMzuPx6smTP0z4mfiIKr+Tj35kwfU14WU1zuKklZvE1FYaooqMcPxwyTNFlFYt/Zqeamw0kWJqFpWRGVt0c2bieHYYbUUldKeRU2pF/ur3DYk2Y0/Hnl57bitaZhTktBpE9AmJKLVpaE32DA7xX6RcbN/oMhOCM4hhvOXBCf5PUh5STziBNIRHYnpsojCRKSVMHKIWiMxrHRhtd2KpnVjtTqHfv1qTFcu4ggPS296KVPqJdmMV5OXEmWJCMvttOGwGTGnJZIcF4bmWRCPAnzwu3ObO7d9uesXTGBIBE9j9MSmWkk1O7DZxX0cJuz2VFLFGWKCNpXkFKv4uYja5DH1tSDlJVGvatis4vPWYnv4ANPZU+gWziWmcxsia1Uisnp5IutWR6O0W5kwWs1YtAU/wKVLSo/C5DYiySa8pLzEBu0R8jEkkKp5SETgNXwvneDc0f0c3reb3bt2sH37djHE9x272blnP/sOHuXQ8TOcOHeNc1d8uOnjT0CwHw+f+HHXP4hLt8MIfKRDl2rDJe31WpDykvwdJSNRRFROEYWZr11Gv3aFiMIGE9OhlboeLKJqObV3WMKIweg3rlPny5RLjkp1e5lWL8kO/La8vG7xZRHi0pD45AYPzm7l2KopLBozgJH9+jJg4DD6j5jIiEmzmTZnIfMWLmLBwnnMnzeb2TOmMn3qLKbOWsa8ZetYt20dOw9sYsXWg8zdeJP95yMIjRPRmJTXa0HKS/JzlGQOpVSUU5ugRmHGE8fU9V/xYpuIql+D8Ao/qu1WYrt1JHH6ZNL27MQacA9Xohav3a7OZcttRpJV+RV5KRutU5yFpWJJekx0wEluHFjB1tnDmdK3Ez3btaVdh+507juCfmNmMmHOchatWM/qdetYs2YFK5ctYNGcqcycNIGJEyYxfvxYJk0czAQxug2fTftxR5i/+yEB4eLx3XIHeR1IeUleiJLQ4XDg1GgyaiSuIX74IKKaNSCiWnl1XZjS9FI7cohaP1FZF2Z/9hSX2J6UXmMSSVbkV+SlpFoY8ZieoLmznVNLBjG7T0va1mtI7YZdaTlwNiOW7mblvrMcvXibGz4B3AsMIjAoiPv3/Qnwu4vv7evcvHiUc/tXsn3BEKb2bUTHBlUoWaMrJbpuZtj6AG48TcYk5fVakPKS/BpqpfrERHW9l/H8GZJXLCG2d9f0fmEVShJZpWy6xMaPImXnVrXdijtVn3FviSRr8QvyEmdqzhScKcHo7u/h4vI+TG1VgRaVKlKiYhsqdp3PkE232H9fx8NEKybnTwdF8V0cINOPkcr/e/DakjBHXSPkxDy2jW/JgPqlKVGuBfnbrKb3Sh8uPU7CIOX1WpDykvwmyv6pLG5OTcUaHETK9k0iChtAdHMRhVX4kfBSRdKbXvbroWYrWm5ewxkTpWYkyrkwSVbiBfJSpGPEkhxC7N3t3Fw9gHkdq9KyYnmq12pLzd7z6bvmMtvvxgpxOdArPfAy7vlinHhN0eiCT+CzexJbJrSlQ5selO+wkn5Lb3DhoZZkp0zTfR1IeUleBjUjUYnC9MnYggIwHDmIbtF8dS5M2W7US4n1qhPbvVP6XNjuHWpfMacmGq/FIrcjSZbgBfJy4LFEkvj4JLc3DWdVl/K0LVmQUiUbULX9ZHqtusAGXy1BSXZMdg+u3/SOONNz23Don5IUtI+Aw9OZM348bXquZPTSS0Je8SQ4RKSXcessiceF12XDaTdjMltJMzux2N24lbPYjJtkBaS8JC+F2AwUgXmdLjwmoyoly+1bpO7YpqbPa9q2UKMv5XJidNP6xA/uh371cswXzqLUU1QqeigJHciEDslb5Hl5OfXYYq7w9NwCto9qQPcy31L02+L8UKU/TUZtZ9G5Z9xNcpPyqp0WnCm4kv3RBh1g/5rljBuxigWrz3ApJJZoIS9Hxs2yJHYD7pRIUmMf8/BxOD6PdIRrLZid7iwlXSkvye/C6cSlTRRRWBDG40fRLVmobjeKuCJFFBZVu6raPyxp6gRSd27FcusmzrhY9fKj7BcmeVs8Ly9jBHqf9dxa3YUJTQtS8qvP+fDbOhRus4y+K29yMkSPTpxwvfomK/Tk1mJODOLO8UNsXbCJ3bvOcPNZDBEON9aMW2U9xAHfHI8j+hYxfic5evQc6w7d50JAArEGO7Ys5AMpL8nvRukXZlUWNydiDbpP6r7daMeNJLpZfSLEdqTMhakS69WF5GWLsNy8LnbneDwWsxqByS1L8qbJkJey6SnDgT3Oh8f7x7F7aCXa//gZX3z0NX8t0Y3Ko08w7UgEAXE2fl9TBUV3VhxWHdFBAfieuojvLX+eJCST4PJgS79RFkS8L9ZYIa+LhF/bzKYFCxg9di1Lt1/n/KMkwgxusso0tpSX5HXgsVjVVHk1Cps3i7junYS4qhBeviQRVcoQ074FSTMmYzi4F6vvXZwx0UJ8lox7SyRvhgx5KWJR1nMkkfzoKBcWdmNmk4LUyP0Rn3zyPbnqjKbV0jusvKHnSbLnD5xlKQV8bZj1yeiiY9Fpk0mz2rGKB8zSFx/cOlzJd4m6s5WdE/szvEVnhoxazuwDfhwJTkZj8qAkTL5tNUh5SV4HSlah22BQe4BZhJzSRBSWNH0ysV3bE1WnKhFVyxNVv7qaZq9bPC+93cqTR2qTTLVfmNzOJG+AdHl5lVgqFVwhaO6uZcfIxvQtk5viH/6Njz8rRaE2s+m3O4SdD61EmdR7/DGUSxTKDuJKnzPK+pu6CY/5CQlBhzg3pzczm9agZ4d+dJ2yjWn77nH2kZ4YITCz6+2+FikvyWtB2U6UZS7KPpqitFt5hOnUcZIzqnMoc2HhlcsQUbMSsd07kDhjEql7dmC+extHdBSetFS8DqVOYsbjSSSZQIa8nOLIFyuO0Zd4enYKS7pXo3m+r8nzP1/x4Rc1KNNzBePOhHMs2kXcK2dWKBl5ylacsSX/fYNWdpCffpfVcYmdUYch8iZPd49n74DqDGxajzotBtFy9EamHHzA6TALUQYX9rcYQkp5SV43SiFuZY2XUiNRSZdP27uLxGmT0LRtTkT1CulNL5s3UNeFJc2fnR6FPRZRWLKskSjJXNLl5bGD7Rkk7OHBvr5MaVmGql/k4pN/+44Pv2xCtcGbmH1TwwWdh8TfnPBSpOTCZTdjM+hIS4xFG6shVhNNjEaDRhkxGmLEUL5rYuOJ0+pJTLWSZnNjd2VRnXmcOPWhmPw24beqEzPaV6VuhRpUqN+PhmN3MvlIiIjAkolKc2B2v53XIOUlyTSUnn1Gg9pCxXT2NLr5c4jt2ZnoRnXUjERlbZimRSMSJ44lbf9erD53cWqUxc2G9BqJEslrRpWXsg4LQzA8XYvf+naMaFCMkp/m4r1/K8iHX7elzqidLPaL45rBi+43j3/iTM2VhjkpjLigqwSc28/p/dvZs30r27dtZeu2bWxTx1a2bd/J9t2H2X/qBmf9NATE2EgwenBkxYob4il5bXpIuUvCjSXsntCS3lWLU6V4eQpU7kL1wWuZsPseR4P1hIkI7G2cc0p5STIbpemlkiZvveerzoUlzphCTNf2Ql4VCC9VWK2TGKfMhYkozHD0IPaQ4PSMRInkNZMuL5eQlz4Q7i/FZ1kzBtUpRGEhrz/9exE+zNWB+qN3sSwwjptmL8nq3X4NJ25HMoa4YCJuH+X67qXsWDSBOeMGMnJAT3p17UrnjmJ06U3PgWMYOnUZszYeZ+vlUK6FW4lOdWMT0VfWRLlmmow94Tp+eyaxuldNulQoRKHcRfi2TDvqDFnLmB13OSzeq7AUGxbXm01EkfKSZCrK9uNR5sLECapVSCxGoza01K9ZkVGpvjrhStfmSqWJbt2EhHEjSN2xRa2RqNRUdJtNan1FieR1kCEvK+gCwH8Rdxc3YUDtghT8JBf/+++FReTVjnoi8lrqH8sNk+cl5OUWj2fCmhpLUmgAT24c4vqe2WyZ2Z2RnerTuHJFShWpQOlyTanXaSz9F+xm8Yl7nHmYxFOdA73FiyPLph4qT8yJ1xJBnM8OLi/vy6yOlan9Qx7yfVOMwtU6U2/AIkauPcv2a2EExJlJzliA/Sa0IeUleZMoTS8dUZHqouXU3dvV9PmYLu2IqldDjOpEt2pM/KC+JCsZiUcPYw30xxUfr95PIvmj/ExeIvLyX8LdJU0ZWKcghT75mv/9twJ8+FVLag/byoK7MVxJ9bzEZUNxA296t2W7OQ1TwgO09zZxdUMfpooDfY38efn8T3n4PFcdKnaYydDtN9ghxPU4zYFJHOidbrFTvMwx1qsUD7bjtJmxmo0YDQbSxDBk6kjDYDRjEmLWPTnPg+Nz2DquBV3Lfkuxjz8iV65C5CvXgspdZ9F78Sk2XQ3FPzaNBKWclCvzS2BJeUneKGJ78tpsuJKTcYQ+w3z1MvpVy4gb0BtNy0ZqrzAltV6ZC9OOGkrq9s1Y7txSW7MofcbUhA6lQofcLiW/g39cNkwJgocrubeqNUPrF6bYp1/yl3/LywdfNqTqgPVMvxrNWa0b7atG/W4t3vjjPDo2ksU9q1A395d89H++5oPPGlKx+3ImnX7EmSQXuoybvywehxmzNpyEx3cJvnuZqxfPc/bcec6fv8D5C5k5LnPxwlkuntjO0c1TWTqyJT0q56PsZ//LF+9/wAef/8AXJRrxY8sxdJqyk8UHfTkbFMdTvQ2D2E8zU2BSXpK3hZIar2xjVj9fUndtV+fC4np2SW96KbbDyBqViOvbHd3CuRiOHMJ2P0C9vZpSL5H8DlR54baD6RFEbiZwa1fGNi1O2c8/46N/+4L3P69G2R7LGH0inMMRLmJfuRRGinjsK0Rcmc66QXVple8bvvz/8vFRrrZUH7CReddCuWH2YMi49cviMiWR9OA8948sY9+yiUybMJrhI0czevQYRo/JzDGWMWPHMnbMCEYO7km/9vVoVyU/FfO8z1cf/pk///l9/vTBV3z4bRlyl+9JrX4bmLrbl3NhKWiE+DMzkUPKS/JWEVGUx2LBEaPBfPM6KZs3ED9sgJrEEVr4O8LLFiOqUW210G/K+tVYfG7j0iWJnVnOg0lenXR5ecTZjyMC9McJOTqC2R3KU+ebT/nqPz/gr5+WoEDrmfTYFszW+xYijeo9XgEhL/tNIm/NY/PwRnT8Pi+5/70gn+btQp2h21hyK4w7Vvery8uoRet3nHu7Z7F19mBGDupDj1596N2nL336ZuboQ59+/enbfyB9eveiV7tGdKlTiNpFPubbT4W8/vu/+Y9//x/+409f8j+5G1GgxSIGrr3BkSfJRApzZeZ5ppSXJKugtFuxiugqbd8utBPHoGnVhMhq5YhQml7WrkJs945qFGY8fUJtjulKSpJdmyWvRLq8vOLMxyvOgOy+RFxfyLqBdehc9EsK/uVP/PXjfHxZaziN511n8SUtIUmuV0w+EPKy3RDymivk1ZAOirz+Q5FX13R53RTysry6vNwWPfont3hyYTundyxl1dKFzJ2/kAULF7IwM8eiRSxcvFh8X8DcmROZMqg9Q5sUo1HRj8j32Xv85c9/5X//8jnvf1mSXBV7U3vIdqYfCORyVBoJbmUhQeYh5SXJKigp9co2Z3/6GPO1qyIKW492zDC1LqI6F1arsiq0hFFDSVm7EvOVSzgiI3CbTOLOYkeR26rkN0iXlzoTIzYabyTaoF0cm96OcTXzUemLP/HBh1/w15KdKD94HxP2POJWpBmL2K5eftPKiLxuK5FXQzXy+lbI67O83ag7dDtLhbzu/g55eRwmTHFPiHtwlYBrpzhz8hhHjh7j2HExjmXWOC4e/yTHjx/l2MHt7Nkwm2VjOzGsYWFqf/8h3372CR9+mpfP8legULVO1Om9iGGrLrHjZgRBSRZSxZsm57wk7wRiW1PS4pXMQqX/l+3BfbU6h5KRqERdUQ1qikisgrrIWanOoVsyH+OpY9iCAnHFx6l9xuTlRMmvkSEv5aCmbCgmzFFX8d80lPXdS9Gi8If87f2P+fcva5G/8Tx6Lr7CkYc6YsUR+OXnbjJHXl63A4c5BXNyLEmxkURGhBMWHk54Zo6ICDE0RIY/JdT/JD6HZrFpfAt6VMpD0Y/f49OPv+XzAjUp2XwE7aZuZ97+u5z2iyYkzoDO6lJLH2cmUl6SrIpSacP+9CmmyxfTozCl3UqLRkRWKqNW6NA0b0jC8IHoV6/AdOmCiMLCZUq95FfJkNc/8OifEn9pKefntGBY3XwU+OQj/vvPhfi8ZE/qD9vKwouh3En1oH/pKCJDXnder7xUlLM7pYCoMlH8RoYbj1cMWyJpj48SuGs4y/tXp17Br/nyr1/zdf4alGo+iq7zjrD8SiQ+8TZSbW7cHuV5ZjznTETKS5KVUSIxd2qKWuhXqYGorgtr04yIquXUfmERVcoS07ENSXNnqFGY/dkT3H8v8iu3Xck/85y8cIgDYNhZHh6dxrpBNWlT5FPyvf8Jn+WpRtFmE+i0/DIb/PQ8MXheMvpKFY95i6g789kyohGdXqe83jhKjTYTpN0n7NxC9o1X1sSVoEjuQnxdsCHVOk9n4LITbLwSik+cnZQ3XNJNykuS9fGqrVOUyEqZ50pZt5L4kYOJbtZArcwRUbkM0SIKix81hGR1LuwizshIPEp1DnGiKpH8xPPywobLGErCgyNcWzuUxe1+pEWRLyiUrxD5y7ehbI8VDFh3h6OBCUSm2khTFhb/6jFRRF7W60TcmM3GIfVo99235Pq3AnySpyt1hmzLRvIS0ZMzBa/lAfqgrZxc2JMxTSpQv1Q5Cv7Ygoqd5zJy42X2+Gi4H2cmxepGqXL1JnUh5SXJ8ihXSlxONaXeJbZX26OHGE4cIWn+LLXQb1SDGmqR38j61dF0ElHYzKkYjx1W58KcCUrnZgtet5SY5IXyEgc4dypm7QOibmzj8vL+zO1SiVYVi1K+dBWKVO9BrT5LGb/hIgfvhOEXlUK8yf3L7fA9Wly6s4ScnsCKvjVpljc3X/xnYT75rif1hu9g+a1wfMWB/nW0CctMvF4nLkM01meHeLR/BMsHNqZNjZrUqN2Jur3mM2TdZXbfFeLS2ki2ejO9msaLkPKSZCeUavNuQ5p6eVDZRvXrV6MdN4KYjq3TEzrqVFFbrySOG6muCzOdP4M95CGuFHFCLAX2zvMCeSm48diTsSU9QOu/j8siApvbrQYdqpWmVLEKFKncgbp9FjBizVm2XnnE3Qg98QYbFpsdu92OTXy32a3iuwlr2lOSHu/h5s7BzOlajYbf5+frD8qSq8Qgmo/fzzqfSAKFvLJ23WkhI7cJS/x94s/N4dyUBoxoWYtadbrQsM9CRm69zf6HyYToHCISRY243gZSXpLshjpfLaIpt9g+bSHBGE8dV9d/xfbqrKbUh1coSVTNysR2aUeiiMKUdiu2h8G409LUuTCvS6bVv6v8grwESoNKrwGvKZR4/8Nc3jCJVSM7079FPRrXbUid5r1oNXA6w+duYPG2w+w5fp7TF65w8coVLl++LMZ5Ll04xdnj2zi4eRorpnRnaIemNK3RkCo1etOk92ombbnJqSdaIuzeTM/E+2NYcVsjSQo5xY2lfVnSuhLdm7Wj+YDFDBUR174HKYTZwCROBt/mbiTlJcnOeMSJrzMmBvP1q2oUljByiNq1OaLCj0RUKqNmJ8YPG4R+3RrMVy7jePYMtz5FNr18R/lleamHYXFW4zHjMMSQ+PQOwZf2cGbzbNZOHciYfl3o0akDHTt2pX3nXnTtPYT+Q0czXC2fNIoxo4cycmh/BvXrQe8eXejWrSfdeo+gz4j5TFh6iHUng7gUkkhEihWTcvKU/kezJh4dLv1dIm9tZNvIrgyo1YRefWYwfut1dvjG8zjFo8r3bb8GKS9JdscrBObWJamXB41nT5O8aD5x3TqqBX6VZI7IGhXRtGyMdtwo0vbswhYYgDsxEa/7DWdHSd46vyKvnyNCe6cRqy4UbcgV7p/dypH1c1g+fTSTRw5l6KDBDBgyiqFjJjBm4iQmThrPxAmjGTdqGCOHDWPoiAmMnLyIGct3snr/VU74RnA/zkKCxYM1q3ZO/jnOBFzaa0Te3MymqRMY1n0KM5cdY9+9WAKSnBizyH4j5SXJEYjt1GO14oyPw3LrBikb1qpV6WPaNieyZiUiyhYnsm41EoYOJGW9iMLE9m1/+gR3il5GYe8QLykvBRduWxpWvQZdZDCh92/jd+MS1y6e5/zZc5w5d5Fzly5z6fIVroiQ/srli1wWG9WFc0ol9qtcvObDTb8QAp5oCNca0FncQlzigJsdjqd2EXkl+hMfdJbTBw6yYfM5jl55TFCsEa3tZZcMZD5SXpKcghJJKXNhzoQ4bPcDMZ44in75YiGs/kQ3qp2eUt+wNrE9u5A4bRKp27dg9bmTnpGoLG5WqnPI7T1H8wryUvCIjcqp9upyWM1YTEZMGb2u0ntpGTEYjRiNBnX8ow+WCYPJgsliw2p34nB7VGllm03LnoZbH0ZKVDBBQY+5cT+ORzFGUoV9f32ZwJtFykuSoxDbq1piyiokFqNRo7DUrRvRZqwLi6xVhcjaVdG0bkbCkP7o167CfP0KjrBnagKIcj8lIUSSM3lFeb2juO1iR0jFZtSTnGpCa3RhtHtfrmnmG0TKS5JTUbIK3TodtpCHmM6eIllEYUrTy+iGddTKHGokpjS9VNLqf2p6GR8nNnm5zedUpLxeCmUHUEo8KcJKX8OVFXcJKS9JjkZJq3c4cCt1Eh89JHXPTrRjRqh1EcPLFCW0UF7CK5VSFzsnr1qK+eolHIrA7Haxc8iEjpyGlFcOQspL8q6gVJ1X1nsZjh5Ct2gucf17quvCwsoWU5M6Yrt3UGsnpu7eIaKw2zg10eocmtwHcg5SXjkIKS/JO4HYjpWsQqU6hzM6EuvdO+riZe2U8WjatSCqbjUxqqoRWVzvbujmz8F0+iT2J0/EPpKcHonJubBsj5RXDkLKS/JOoUhMuYyYlLEu7MQxEYXNI35QXzStmxBVr7panSOmbQuSpk4kbdd2zDevpze9NBrwumW/sOyMlFcOQspL8k6ipNWbzbi0WqxBgaQd2EvilAnEtG9JeNnihBX9gUghsbienUlaNBfjuTPp/cIsZmUmO+NBJNkNKa8chJSX5F3H63ThiAjHdPqEGoUpc19Ks8swpV9YxR/RtGuOduoE0vbvwXrPF0dsjCoxuW9kP6S8chBSXhKJksxhwhkVieXubdIO7iVp1lRiOrUhslZlIqtXIKpR7fS5sHmz1YQPpS2LJy1NzoNlM6S8chBSXpJ3HmUTFxJS58JSUtT5LaWhpbIuLH5gb7XRpVIfMbJmRXUuTDthNKm7tmEVonNGR/+9Wr0k6yPllYOQ8pJI/oFancNsTq/OcfcWaXt3kjR7GnG9uhDVoJYaiUU3q6+m2esWiCjsiIjCggJxJWqlwLIBUl45CCkvieRfEJu8IjElu9AREabuC8krlxLXrxdRDWunV+eoVo7oVo1FFDYqfV2Yzx1csRr18qOskZh1kfLKQUh5SSS/gtOJKz4Oq5+viMJ2kThjMjFd2hFRvby6uDmqdhURlXUlad4sDIf3Yw8OwmM0ZtxZktWQ8spBSHlJJL+CJ31xs1KdwxkTjeXWdfQb1xI3uJ+IwmoSUa4EEZVKqw0w44f2J2XzeqwB/rh0iWoUpkRwkqyDlFcOQspLInk5vE47roR4rL531UuFSdMmEdu1A9ENaqprwpR2K3F9u5O8ZD6G40ew+t9TuzwrfcYkWQMprxyElJfk1xGfv8clvpw4HU7sdhdO1+9oT6RsR16P+HLjdrtwiYjkl4bbLW4jIh6lA8Ovbn4Zj+dRbq8O8bwy7pcpKH/PZlX3GcezZ1iuXCJFRGFK00tNm2bpafVK1+bmDUgYMRj9prWYr17GERWp1khUozAltV7uU28NKa8chJSX5Ffx2PFaxTaii0ETFsGTJzFEJaShd7ixik3jpVY5KZuQxwlOi/hKw5iqR5+cjO4FIzlZ/C7VQIrJjsnuwSEs+eItUPzU6xBPz4TVmIpB3MdgtGG0uXFk9tIrZZ9Q0uoTtdhEdKVmJM6YQmyPTkTWqUZ4uRJEie9Kmr2y6Nlw7BC2+wEiaktIl5isVv/WkPLKQUh5SX4VRwqepAckBF3mwv5j7Nh2kTN3QglJtZIojsEv1RFc2YaEuDAnYNaGoQl9zKOHwTx4IEbwT+OBOoKDH/LwaSSPNSnE6B0Y7SKieuE2KAzlMeEyxJMYHUpEaAThGr24j5Dem5pmUtqtKIubo6PSm15u30LCsEFq9BVW/AciKpZC06gO8f17krxiMZab12VK/VtGyisHIeUl+WWcuJJDSPTZw61t85k9aBJ9+61k/p47XIwzECYkYcu45a/hdVlx6MJIe3iWh+e2cXTnejasXc3KlatYuSpjrFwpvq9h9bptbDpwkYN3o7mjcRBvcuP8eSTlEtGbMZ5UzUPC79/A9/JJzh47yJGDRzh8/AInL/lyLSCCh9FpxKfZsSiXODPumpkoGYaOp08wHj5A4sQxxLZqQrSQWHSFH9FULUd8h1boF8zBdO6MWhDYpUtKr1QveaNIeeUgpLwkz6PYQhxYXTEkBR/hxrpRrOjbmmblWlCx5gQGrrzA/sgUHoqwS8RTv4ETpymOpPunCNgyhq0jWzCkUxOaN2lE/QYN1dGgYQPq11f+vxVNWvWl27g1TDv6mMNhbsJSvYjgKx23DafuEXH+4jkdWMn6+VOZNm48kyZOZvJkMSZOZMrkWUycu4VZW29w4E40ITozKW4vmR2Mqe1WlOococ+wXL2Mbv0aokcMIlxILLRKOcKUjMRmDUkYMQT9mhUYz58Rt32aXiNR8saQ8spBSHlJnsPrEM5JxJ54g4cn5rBhSEN6VyxJgY/LkavIQNrNO8Hm0GQCxM1+/dArth13CtbEQB6fWcX+UY0YWet76vz4A4UK/EC+/N/znRj5v8/Pd9/9wHffl6VwmRbU7b2AEQceCUHC0zRwqHNENjxmIcEHp7m7Zy5bZg1nZP9+9Ow9hEEjxzN2/BjGDh/IyIH9xc/G0m3UGmZsv86J4AQepTgQAVzmIvYTVWBWq3i9iWiuXMZ3ziyudGrHhfI/cu2HPAQWzk94zSrE9upC0twZGI8ewv7wgXopUU2rF/eX+1vmIuWVg5DykvwrXpcJd1IgSbdXc2ZhB0Y2LkGVPHl5/9+L83H+3rScfYz1z3T4CXmZMu7zYpTQLAxD6AlubJ/CrE51aSO2r5plS1OuXDnKlP1plKF0mYqUqdiEqo0G03niNhZfjeRqMsTYlIIVVrGhxmCLv4X/sTVsnT6OOeMmMn7GUmas2c2GvYc5eOQAB/dsZNeahSwZP5zxA4cyfs5GlpwM5kRIGjHGzM7iUKbAPDiEgJKSkrh66hTLhw9jYq0ajMmflwVffcap/HkIUdaF1a1KTPsWaEcORr9quXop0fH0MR4RuclkjsxFyisHIeUl+WccuMwJpAafJGjzYNb2rkCbcnn4/vPc/Of/K6HKq9XLysstJJh4m4S7qzm6fCR923SkQa12dGzfnd69+9C3b1/69BGjdy969xlEn8HTGTJ5Cwt33+R8uJ4IFxiUvAyHXvwhX9JCtnFk2WTG9xXimryBFUd9OReqI1SXgj4lGX1iBDEh1wjYOZX941ozdewkhq26zLJzMTyMz9wkCa/YT6wi6koQUdc9f3+WLFlCi0aNKFegABW++ppu+fOzo3JFghvUIlxJqa9chsiq5dG0bkri1IkYjx0WUVgwbr1eBL5O9fHknvf6kfLKQUh5Sf6OV9jCkYA9wYdHp9ezY2wfxjSpROvy+SmdPx8f/LkUn3zfR5XXhpeQl8eejOHhMUIOTmP7wvH0HrWUHlN2sWzjfg4cPMTRI4c5fPgwhw4dFOMYh05c4cSlIG4FxxFltKuXJF3iEO6xxIHmOIlXZrJp1jj6Dl7FhGWXOHo/mVhxm39soeL/rBps/ht4uKkHy6aMoe/Ug8zcHoR/WOaWbFLEFR0dzfnz55kzZw6NmjTh+0KFyP/DD9SoUo2xPXtxdtZMohbMIX7kEGLbNlOzEcNKFlK7NycMH0TKmpWYLl3AHvoMj9GQ8ciS14mUVw5Cykvyd5ypOLW+JPpt58ymBUwYNJk+rTrSr1Fp2lQswHefleJTIa8Ws35LXsolOjeO1FDCz2/i3KLhrJg1g6GrzzHzTBSXg2OJjIlHq00gMTGBhIR4MZTvOrS6NPQGKxanR02y8Ho9eNKi8AbvIPbwSNbMmUbvaUeYsSuYG2GGf0kYEX/XpoWYY0J0U9m2ZDqDx25j9qob+IUkZdzm9WO324mIiODs2bNq4kjVatXJ/W0eChYuTIMGDZg6eQpnjh0j8v59DGIYT59Av2KJWo1DWdgcUb4EUbWqENOxFYmTx5O6dye2AD91/1MWRcueYa8PKa8chJSXJD12ceA0RJAYeJSAfXPYvGgOwyetZ8jQCUzsWouBdQtT/KsfVXk1n/lr8hKP5bWJkYg5+ip3ts1h/dBeTBg+iYFCXvOvJ3Aj0oTW5MSulOn4+3284utnI+M3alWLlAi8AZuI2TuIlbOn02P2GWYdeIpvlPlf0uDFvew60J3D4DuP3StmMnjUJmYuucy9B0JqrxlljstmsxEVFcXJkyeZOXMWDRs1JneevOTL9x1NmjRl0sRJHDt6jLCwcEwmM04lpT48TM1ITNmwFu3ooWhEFKYsao6qU1W9jKgdNYSUtaswXTirNr1063QZa8P+/q5IfidSXjkIKS+Jmljh1WGMucP94+s4OGsUC2YtYdLm88xZs55lw5szoVExynxV8uXk5UwBiz/JARs5Mm8wo1u1pnPbAXSZsokph3w55BdNUIyBJCEwx2/VclLklRqJN2grsQeGsHLWFLpNP8b03Q+5E24Qyv0Zym2tYpuNO4n+xkx2LJ3OgNFbmL7sGveCxc9fI4q4LBYL8fFxXLh4galTp6ri+v6HAuTK/S1169Zj7ty5nD59Jl1cZou62Fq5n9IvTKlUr1SgN507RfLyRcT16yH2v7pEVi9PVN1qxHZqQ+IUEYXt3q5W8XD/PAqT++TvRsorByHlJcFtxJN6n5h7uzm9fj4LRk5i+qI9rL0awr6zh9k5tQMzmhSn3BclhLx60+zX5OV14TZpcEcc4umhYSwf0Ihm5apQoUwDqrcZQMcJS5iwaj/rDl/j5K0Q/EMT0KTYSBP+/CcR/YQiJGMMhB0i4exkNs4eT++R65mw8jLH/OKJEcfzv9/Pa8WdGobZfwvBO4ewfPpE+k7ay8xNfvg/Tc240R9HiQyViEujieHS5cvMmj2bxk2aUKBgQVVetWrXVmV26dIl9TY22wsWI3vceO02sY9psdy9rdZITBg9TEReTYTAKhBRpQxRQmbxQweQsn61WkdRyUhU9le5uPn3I+WVg5Dykijrp0wP9hK4dyobFsxh+OTNzNrjz8VQLffvneDU3I7MaVqcMp8X59P8vy4vr8eGLekhussLuDS9JsPrfU/xb77m00++5fO8Rfm+VFVK12xFvQ5D6TJmJVM2XuCAbwwP9W6SXWJ7zHicfyC2P+VSYMpN9P5rODB/JMO6jWTI2HUsOHSf8xoX2p+mhFxabFHXebRrAruGNWX0oFH0XXCWBScieRD7+g74TqcTnU7Hjes3mDptGtVr1CT/99+T77v8qsQWLVrEjRs3iImNxfYbovGKSMqVmoIt5CGGMydFFLaYuAE9iaxblTCxLyqNLzWtmqAdN5K07Vuw+tzFlajslxkPIHklpLxyEFJe7zBeEe6407DG3uPJkQUcnjuMBfNWMGbDdTb5phCqN5Bw/xiX53dgbtNilP5NeXnFwdiMJf4+USfncnxsbUY0LEKFInnI/fUXfP7ZJ3zy0Yd8+OFnfPxVYXKXbkH5DtPpt+wUW25EcCfaiNbixiE2uX9sdeL/POKvuCIwa85xc9tMlg7sy9hB4xk+bzvzD93mxN1g7j/w4/6dU9w4upatE/swvn0rBo2Yy6Tdfuz0TyU87fVsxx4RMSUKedy9e5elS5dRp249vvzqa34oUID6DRqolwrv3btHWlqaKi7lMuFvoexiHrsDpzZBbaOSsnsbCWNHEN2ikSqv8NJFiaxdRa2RqF+5TM1IVObNPAaDCHTFZyh5aaS8chBSXu8oXhHjiIjGqw8k3n8fJ1bNYNH4GcxfeYA1F55yPUFEQnYLSUHHuPKTvD77LXl5xMOasOqeEXtrL9fXjWXN+B4M7dGKdk1r0qBqSSGy3OT/6hO++PQLPs1VmG9+bESZlmPpMm03S44FciUsFY1VPLV/2uyUOTkDzrSnRN3ez4V101g7dQTjRgwXghrPyAlTmDR5EpPGj2HcyJEM7j+CgcNmM33tCfbcicY31kbKawq8DEIYPj6+rFixkvYdOgppFVQjrqbNmjNj5kw1VV6r1aotWjyvsu+ImypzWkq1DeuD+xhOHVOjsIQh/dVGl5E1KxLdqBax3TuSOHUCqds2Yb19E2dsjIicTXJx80si5ZWDkPJ6R3FbcaY8w/T4MA+OLWDVzFmMnbiJZbtucu6JjhjhC7vXRpKIvBR5zXlJeeG2YDfGont6l0eXD3H5wEZ2r1/IyjnjmDGyG4Pa16FZlWKUL5ib77/5iq9yfcdn31WnSL3hdJi6l+UXQ7kVZyfZ+bOMQ/X/3CJQNGCNDyTy5g4ubJrK4lHdGdihBW1bNqNZs5Y0a9GBVh0H0nnYIkatPMPWy8/wjzGQaPUgHu4PkT7PZSc0NIydu3bRo0dPSvxYim9yf0uVqtWYPHkKSqq8stbL+Xurxivze86Mrs1xsWrTy7QdW9VLhmpGYt1qRNaqQnTzBmIf7Y1+9fL0fmHPnuLWJalNL71umVb/a0h55SCkvN5FxGfq0pEWcYsnRxdydN5wpk9bzoR119hxI4pHeptaLV4crl9dXl4HLocBiz4eXfQzop884HHgHfxunOfa6X0c37GMDXOGMqV3IzpVL0D5PH/j8w8+56O81SnaYhKdFl1g/Y04nqU61fmvf9r6xMFdiRYtQmARvie4vG8t25bOYfHs6cyYMZsZc5Ywd9lWVu69woHbUfhFm9BZXErc9odRLv/FxsZy7PhxRo0eTYWKFcmb7zvKV6jICBHtKYutlbVeSiLH60Bt2pmSolbdMJ46rmYkKlGYpnlDIqqVJ6J6eVVoiZPGqlGY5fpVnErTS6U+ouQXkfLKQUh5vYtYcJkeE+17mBNzR7Gw30AmL97DSiGNyzEOdH8//r2qvBSUdVoePG4XbpdTiMyOw27FZjFjMaVhTI4i8fFF/I8sYNuYZgyqlpvSX/wPH3/8DR8Xa02RDisZtMGXq5EGlJoYylP55y1Qie5sOK1pmFKSSI6PJT46iugoMWLiiFEWOqeYSBXSsrpeX1dlRUq3bt9i8pQp6jyXIq4iRYsxYMAAjhw5wpMnT9TU+deK2Pe84v1TJKYmdBzary5iVgQWXqoIz374lvAKJYnp2g7dwnmYLoh9VpugRolyr30xUl45CCmvdw+vJZq0pyfxO7aKFROmMHrYEhbt9eG8xkG4CBz+ce5uJ/nBCa4t6MjcZj/Jqw/NZ51gY5ieANfLtER5AW4tlsirPDw+n90TWzCghhBYrk/5Knd5vqowlMbjD7LZL55nQo4piqsy7vY2UCIupfSTRqNhy9attGzVimLFS1CwUBGaNmvGhg0bePr0qToXpkgjs/AIeSotVIynTpA8fw5xPboQUbksoUrTy8pliOnQSp0LS9u/G2uA39/nwuT++89IeeUgpLzeFZS5EDE8FiGOGzw5sYTjq6czecZqhi+9yLar0TxKspJsU5o/utWDtsdtQhtwhEvz2jO7STFKqfLqRbMZR1j/JBFfmweDCG1e7Uxf3NJtxmmIIiVCCOzcMnaMbULfSvmp9H0xvivSkio9VzDpbBgXUiDajpp9+Lawquu5NOp6rjFjx6mXCYuXKEmDho3VKOzateukKH28HI5MlZeSVehOS1W7Ntt8fTAcEFHYtEnEdGxNdP1aaoUOJbEjtkcnkubOxHjyaHqh35+qcyiXXCVSXjkJKa93BCUt3iOiA1MoMbd2c3b5WFZOHsPwmZsYvdWHvbcjeRwVT5xWS6L43HX6ZBIThdAub+fo5JZMbFCYEp8W4ZO8nWk4djtL7j7hYlwKkSlmDGYbdpfSrl9V00sgbiUk6rHFkBZxCf8do1jVpTwdxLZX7IcalG41ld67g9mtgccieLC/xeNuSmoqd318WLV6Nc1btKRQ4SJUrFSZIUOHsnffPiIiI9XMwswUl4pygiBOKJQFyupc2JMn6XNhi+aTMLg/MW2aEVm3OhHVK6Jp24Kk6RNJ27UDy43rOMLCVPEpAnzX92YprxyElNc7gtITyxaKO+YE9/bOYvHQgQzvPZxB09cxfe9ldl/24frtu+JAfRcfMe4F+OFz9wbndi5i3eD6DKr+A4U/KcDH3zSnRt+FTDp0kR13Q7gREsMzTQrJZgfWV7rEp2xXduHTMFLurOPa3JZMalaOqkUqULL+CFqv9mN1CATpRfTzFq8bKkka+/bvp3efPuocl1JBo4WQ2Lr163n4MATz657negkUiSklppwxMVj9fDHs34tu9nRiurYnvHIZwkoXJaphTeL6dEc3bxaGwwexP36E22R857MRpbxyEFJe7wZeRxrobmL3X8CpBd3o06wVDWp3pHXv0Qybu5gZy5axcPFiFouxaNFiloh/L1q0gBmjejO4aRmalviGbz/8lvc/q0TxBj1pP2k+o1buYdHOaxy5EUqI1ohehF6vnCRuTwbNSSIPD2PtwLo0L1uBsrUH0nThHRb5efEXm6BVKS//FlAuBT58GMyChQupWq2auhhZaZ45fMQILl++gtH4fLrKm8YjIjGHiP7Mly6oGYmxPTsTWaMC4eVLEFG1XHqh37EjSd294x9zYUYhMddbelPfMlJeOQgpr3cDj1WEMFGnsZwdyr5RNWhariTf5y3GD8XLU65mLarWqa2WOfpp1Kil/LsGlcuWoNQPufjhy4/5+L2P+fP73/DFd8UpVLk+ZZsOpG6vVYxdf4OzT5PQOD1qAscrbTFuI5hukXRnDnsnt6FH1arUqjOA5gvusMDXyz0tWN7CcVaZ81M6Il+8dJFhw4erlwvz5M1Hm7btWLlqFQ9DHuLOIlGMsr5LkZK6LuzAXpKmTyamUxuialdRBab0C1MWN+vmzlCjMFtwEO4UcdLwDiLllYOQ8no38FiEvCIuYDkzjqOTGtGlXnl+LCrkVbAohYuVoFiJkhQvXuIfQ/13cYoU+I7833xKrr99wPt//oA/v/cZf/s6L7mLlueHqp0p03o+/Zde5tgjLZFCXkos8kpbjFL6ye1PcvBqDs/txeDa9WneaDidVviy7IGXAJ2Q11u4bKj06AoJCWHrtm2079hRTY0vXaYskyZP4fTp08QoEUxW2TeUOTclpT4tTZWY+eZ19GtWkDBsIJqWjdML/VYspe7f2lHD0teFKdU5YjTi3EFEYe/Q2jAprxyElNe7gdcuJJEQiP3eNu7unM6SqaMYNmggffv0o2/f/vTr98+j/4CB4nsfurVtSLPKBamY/wu+fP8L/vq3InxXvgE1Og+gzYgF9J99gJVH7nMnOhWt24tV+Vvpf/Ll8IrIyxOA/tF6jiwYzPAGbejYehKDtweyNQpCxK9tbyHAUVLfr1y5yqxZs9V1XUpzyfoNGrJ5yxYePHig1i7MWqQndHjsNpzxsVju3CJt7y50c2YQ37cH0fVrElmtPJpmDYgX+7du4VzSDu3H4uerVvNQord3YV+X8spBSHm9G3hddjDG44r1JybwErcunubk8aMcOXwkfRz553HsxAnxfT/bl05kVvfqdK2Qj+8/zs9HX9ejQqcJDF63h8XHr3PgSgh3QuLRpFkxiW3llc/hvQZw3kMXvI5DC0czvHkfevZYxIwTjziZIoLFt5Qqn5SkY//+AwwcMIiy5cqrlww7d+nK+QsX0CYmqpXlsypKJKVEYY6wUMxXLpG6fg0Jg/oS1aCWKjCla7OmbXMSlKaXm9f/PQrzmEzivg7lmqnY7XPmfi/llYOQ8no3UM7KcVrxWlOwpmhJTognLjaG2JhYYpXv/zISxAE6NjacB+e3cnBSCybUU1Lli6qp8vXHbmHRrYec1egI1ZlJNdiwOd3pbfvT/9zL4xHySrlEws357Jk/nv5dptBvzB423o7mvjiO6sTTdr2FTTBGvC+rV6+hdes26iVUJdNw5KjRBAQGqouWs8NuoazvUipu2AL8Mezbra4Li+3WgSglpb5KWSJrVVL/nTRfyUg8gC0wQOzz2hxdqV7KKwch5fWOoHyMymfpcakHJ5c4O1ey6V487GrXX4fDQNy9w1yY245ZP1uk3HT6IdaLaOuu2aVWwPAqNZjSv14dixbX4708PTCGDXOm0HvkJkauuM25xykkiwdMr7H45lHqFCpNJpXGkkpFjcpVqjJ37jyePXumruvKNihRmNGQUej3DilbN5AwcrC6r4eVKUpYqcJENawt9vnepKxbjeXOTSG8eHUOLSfyvLw84sN0WtLrjaUmk6zTkaQT3/ViA0xJQS+GsgpdGXq9PmNk/Dw1jTSjBZPViU2cYmWjzSJHIOUl+WVs6IKOc3XBz1ui9KHZrONsDE3GX5ygmzNuqeK24jEnYk4MJ+rRA+77B/PgcTSh8Qa0Zve/pNGLO1vFbSPv8uz4Eo4vHM6i2YsYveI8y85E8UBrVyO5t5XP9/TpE8aOH0e58uUpISKvJk2bsXbdeqKjo8QukT33CbfBgDUoUC0hlTh9CjGd2xJZo6KazKH0C4vr1YXkRXMxnjiK7X4gLhGdK2WpchLPy8ttxys2WovYaGPDxAZ73x+/e77c8/XFx8dHXfh4R/3uy13fe/je8+eefwB+AYEE3H9A0MOnPArVEB6bREKKmTSbE6vDjdPtwa2Wn8n4O5LXjpSX5Hl++sytr1CYV9zHloQr/h6x9w5ycvNSFs9awuK1h9hyOpCLDxOISrViFpGAzWHDmhZLasRtQq/u4MjSacwfN5U5S3ey6lQwZ58ZibN41Gfxtra+4OCHahWNEiVLUrp0GTp17sKuXbtRFi1nV3kpc2Gu5GTsTx+rrVRSt29BO2EMMe1bElWnqtpyJaZNU+JHDFKzFU0XzqY3vVT6hblEWKGUmMrmx4Pn5eUSZ1xiYzTGPCAs6CY3L5/m1KE9HNi+gW3rV7Fm1QqWr1rDirWbWLtpO1t27GHnnv3s3X+AAwcPcuDAIQ4ePM6RE+c5dfkOV3xDuPc4hmexqSQa7OnVoTP+lOT1IuUleZ6fPvMMeam1DYtS6tNifPJdL5rOOMb6F8nLrBEHuzM8Oz2f1aO70KVJG9p2GUXfKRuYvfU0h676cjswSK3ece/2RW6f3cGpHUtYPnsu02ZsZNXuq5wOTuCxwYP5LezwP5dSQEAAffv1o0jRomo9QyUD88iRoyQkpFdtz7aIgMCT0fTSHvxAnevSzZxKbPdORCsJHdUrpFfn6NsN3YLZGI4fVqM1l5KRqFTocIgPPRu//BfIy5YuL819wgIvcO3UNnYuHs/sAW3p37oeTevXombdRtRq0oFmHfvStf9wBo4Yw5hxYxg3egjDxBvVq0NbOrbrROvOA+k8fAFjV5xg07lH3ApPIdEp/kTGn5K8XqS8JM/z02duJTHgEBdnNmdanXwU+nN+/vRlF+pOPsTqJ0n4iOOY0rYkHXEfYwSOx/sI3jecGe3LUjF3LvLnLsQPP9aiXP0ONO0+mJ5DRjJ46HCGDxvB8FETGDVlIVOX72fdMT/O348jLMWGUYjrbZysKlJSFicr3+/cuUvPXr0oXKSo2mxyxIiRnDlzBq02MXvL6yeUtHqTWS30a7l5nZRtm9GOHUG00m6lwo9qq5XoRrWJ698T3bJFmC+dT+8XZvmnC8XZjhdcNnTgNSdj1T4j/tltAq7s5uD8fkxpUYxmRT8hzyfv8b8ffc1f8lYif5W21GnXl24DhjFipBhDetC3XT2aVSlOxcL5yftNfr4uUIMSTUbRado+lp1+wI0YIwkOz1utLp1TkfKSPM9Pn7mN5JCz3Fo9gBXda1K/WG2KVBxN96Xn2CVOKoOEvP5xKBP3scSIyOskT09MZUX/2jQpmptiX33Ot1/n5ut8RchTvBLFKtSkcvV61BUnsk27T6TntF0sPxHMjWgz0WbvW1nT9ROKlNT2/eLAfuPmTXr07EnRYsWoUaMmY8eOU1v8JybmEHn9DI/Fgj0sFOPJYyTNmoqmXQsiKpUmrGQhwsTxILpVY5JmT1fbsdgfPcSVqs+25aV+OWHDlIwpJYa4p3cI3DeTHYMq07fyF3z/6V/494/FWVvJTpTuMp8hc7eyYfdhjp84xvHDuzmwZTFrZg1ifPeGtCxXgB+/zUP+wpX5sfEgWk/cxvRDD7jwNBWt1fX70nElv4iUl+SXcWLRPiHq9hFu7d/ApqUbWLL6FAduPCUw2UKC2O2Fv/6BM01sT49ICj7FzT0LWTt5AOP7dqZ35w506NiNdj0G02PoBEZOns+MJZtYvu0Uu87d59azZGIsXoS73uq+/fPI69at2/Ts2UtNka9WvQajR4/h7NlzOVJeCsq8liMiDPOVi6RsWIt29DA0bZoKiZUhXKnO0aIR8aOGol+7EtP5M+IkJRSvsrA5m/G8vJRNzusWX05x5uLAkRZP6t0d+CxuzZw2hSn//ee8l6cinzacSbM5V9h44SmPopNISU0hJTmJ5IRnRD8QZ3h757BxSH36VvyGMvm+5psCFSlQbxj1Ru1nwalnBCZZSRN/KueuQnjzSHlJfhkRiTgs2Aw60pLiiY+NJyYumaQ0CyanW70S8k9bh3IMcJrF/p9AalQQYX7nuXX2EMcP7GXvnn3sPHCCg2dvctHnEX5PYwmLTUartFTJyDRW1nO9za3t51Ly9fGlT5++qrwqVa7CkCFDOXHiJFqtNsfJS3k9yvIJj9WCW5eE4/EjTKdPimPCAuJ6dyOqQU0iqpUnsl51Yrp1UJteGg7uU/uFKXNnaqFfZ/Y4Kr9AXv+C3YDz4WEer+vMsq4lqFLoK/6arxqfN19C2xWB7L+XRKL5Z0nxXhvO1DAS/Pfju74vyzsXo2GRz/j68+/4rEBTCjaZRb811zkWlkaYMknsebsbeU5CykvyehEHQmUawZaKNUVDYvRTwh4/5GHwQ4IePuNReDzRSUaSzelt+rPq1hUYEMiAAQPVNV7lylegtxDZwUOHiI+Pz3Hy+ieUy6ZGg3oZ0aREYZvWkTBuJJqOrVSJKUPTphnxI4eIKGwV5nOn1cQPRWLZQWC/LS+nCe+T44Rt7s6qHqWoVjgX7+erzuctltFu1QMOBuhJ/tflA24jzvg7pNxcwPm5DeldNQ/5P/qCjz8qxZdFu9Fowj6W+SVy2wBJ4j16i5fGXxKxgXs94sutXkd3u73phTyz2HYv5SXJHJQzTCdupw27OKO3WCyYLTasdhcOcd6a1fdfpSjvsGHDKfljKTVVvmPHTuzYuZOY2NisU5A30xDHKpsNl4jC7E+fYBSC0i2aR5zSbqV+DfUyotI3TCn6mzhpLAYRWVsD/XHp9eLEJSMoUd+jrPc+/ba8HCKMfHxMyKuHkFfpDHn9SuSl4FVSlx5D9C6C9vRmYrPilPnbp3zxp3x8lrs+lfqvZfylWE4mgMaaDeTlEiG4KRFzcgya2ERC48wkGp04lWoEWQgpL4nkeZRKGhMmTKRChYrqIuXGjZuwZu1aoqKjs2y0mCm4XGqJKcutG6RsXEuCMhfWqgnhZYsRWvR7td1KwojB6XNhl85jD32G25CmRnBZkUySlwinbGGgO0LI8WHMalOGap98Su4/5eazb2pQttdKhp+O5rAGosxZXV5i87Yk4ojzJz74Mhcu3GTPuSfceqQTr9v56g37MhEpL4nkeSIjI5kzZy516tRNLw9VuYpaHiosLExN6nhnEPu/127HrdOpmYams6fQr1pGXO8uaq+w8HIl0hc3d2qDdtxIUrZvwep/T43a1OocWez4kXmRV4a8Hh0fzqzWQl6fKvL6ls9z16Z8n1WMOqvhWKwIzizZQF7WOByaa0Te3s2uNeuZMXcvG4/4cStMj8aUPtmdFZDykkieJyYm5u+FeUuU/FHtdzZ27FgeBAWpvb7eGX7a/8V3temlRoP17m21Gr1SI1HJSFSir8jaVYlS1oUN6EXymuXi+CGisJBg9RiiyC+rkDnycgtLGx/hidrJ/d29mdi0OGU/+YKv3yvIF981p8bQzUy/EceFZIgT70WWP/dxJooP7raQ11Z2TBvJyM5DGDt9K6vOhnAhNA2tNb38zdtGyksieR4lJX7Pnr307dtPbYmS/4cC9O7Th+vXr6u1WbNVcd7XhSIws1mteah0YzadO03yyqXEDx2oJnFE1KhIZK0qIgprjXbS2PSmlzev44qNUfuMqceSt3w8eQ3y0pFk+Rf9OA04E3xJ81nK5cXNGVDzewp/kovPP6vAN6X70nL6YdYE6bgnoi6dS7wHGXfLsnjTcBuDiPXfzZHJ3Rhfvw49u4yi/+JjLDn7hLsaE6ki/FIisLcpYikvieR5UlNTOXfuPJMmTVYXKefOk5cWLVtx6PBhwiMi1ASUdxJxPFAWKCvRlFIn0XLvLilbN6IdPwpNayGwKuXUBc5RjeuSMHQAKauXY758Qc1edCsJHUo7mbco/t8pr39kGx4KSEH/rxM/bi2mJ6d4vGMQG7oXpUnBj/nyb9/y8Q8t+KHZQgZu9OFMtBGNeN3KYsasjwOvI56UZxcJXDuQjR3K0rNBA2q3H0eHmQdZcimau0le9G85u1TKSyJ5HkVO/v4BrF69mmbNW5Drm9xUqVaNZcuXc+fuHZLFgVsijh9pqdhCgjGdOYF+5TLiB/QmqnZV9TiiVKyPads8fS5sywa16aUrLu6tptT/PnnlrcpnTRfSeokvu27HEqM3YxehpN1mwWqKRx91k6ATS9kzsj6DK35J2dxf8PUPlfmh0TgaTD7J8ksxPEqxq23Gs0vA7nWL15f4iNTry7g1rykTWlSgWoV6VGgxmlbzTrPkWhw+MRb0dg/ut+QIKS+J5HlcIrqIjo7myNGj9OzVm3zffUeRYsUYNnw4hw4eIioqSuwbGTd+lxHHByUxw60W+g1WFy8njhNRWPOGRFYtT0SFkmqx35gu7dR0e/PF8ziVSvVK12a1xNSbfRNfXV6FvuavucvzSd1JNJxynKUHb3HTL4DHwX4E+V7h1rndHN00g+VjuzKgUQXqlixGmfL1qNJmFJ1n7GXu8UdcCTeRZHNn/bmun+N14zYn4NGcJ+LUFDYMa0ynqmWpUqEBpZqPpo0SgZ0O4UpoKjFKGn3G3d4kUl4SyfMoC5HT0tK4desW48aPV1uj5MmXl5YtW7Fs2XK1ZYrHna2ORpmKEk15UlOxP36E8eRxkpcsIGFIfzQtmwiJlSNCCEzToZVanSN1+2Z1Lkwt9Gsyiju/uffx98krV0k+rjKIGoPXMWH5Tnbu283xPevZuWIaC0d3Z2j7erSuU5VKFapTpmYHGvScyZDFR1l/LpibkanEWdzY3lZ48rsRz9dtAlskac+OcWXtMOa0r0LrciUoVKgSReoNos1UIedjD7jwJIlYkwO7eI3Ky3xTr1TKSyJ5MU5xQH70+AlLli6ldp06fJsnDxUrVmL0mDFcu34di/kdnfd6EUpNSEVgQkbO+Disfr6kiWN8ktJupVMbImtWIkJEYtGN6xLXtwe6xfMwnjmJ/UkIbn2ymtChzoVl8vHm1eTVU5HXV/z1q6J8VK47lXrOZfD0xWKDmMuKaYOZ0LUhnaqXokbJ4pQtX4syzQbQZORaxm+4yJ4rT7kXoSdRRFzKFFn2PIwqz9qO1/SUqGvrOTG7E+Obl6WyOIv7Nl8Ffmw8lDYTtzJ7321OKS0hUu0YxWf4pi6NSnlJJL+M0nxSyTrs2aMXRYoUVft7de7ShX379xOjiVEvL+boclG/A6+IpNypKdgfPsB4SkRhSxcSP6gvmmYNiaxRiai61dV1YYlTxpO6YwvmG9fUppdupV9YJq+he3l5bfmZvL4ozEelOlKhyxT6jZ/KjGkjmNijPh1K5abM55+S75sSFKnZk4ZT9zPtbCTnn6ah0dswO9zZZo7r17HgSrhJxPn57J7QnK6lvqHQ+x+Q65vifF+1C3UGrWbklrscD9GjsXnUub03EUxLeUkkv4ySFn/t2jV1gXKtWrX5/ocC1K1XnwULFnL3ro96aVHK6wWI90RptaKk1duDgzAeP0LS9CnpGYmVShNespAaicV2bkfSnBlquxWlt5jS7DIzK17+Pnl9VYKPK/ajxsAVjFu0lg3r5rNuXBtG1sxDjW/+Rp6vS4qDeF/qTj7BrCs6fJI8P+sV9HpQCoY6DEkY4iOIi3jM08ePeBgSQsijRzzKtPGYR49DefL4IU8Dz+J7agnbp3VkQLW8lPnwP/jsT3/l/c+L8FW5TlTsuYQR6y6x/044/jFpJFicWMXnmJkSk/KSSH4Zs9lMaGgox44do1dvpTllEUqVLkPv3n3YsWMnEZGRGbeU/CJKian4OMwXL5Cs1Ejs3ZWompUJK1lYrdChNMBMnDCGtH17sPn74YzRpM+FZUIU9spzXtULfc3731bg03pTaDLzLKuP3eHOncs8PLOIM7OaMqZhQSqIM5p8BeuSv/4kWs06x6bbMYSkOUkVYdfregluawopz+7y7PJezu9ZzfpVy1i8ZClLly1jWaaN5SxbvoLly5exYslsFk4fyrhejelSNT8VvnmPLz94j/fe/4z3vypKrh+bUq7lJLrNOMzKMw+5HWtAK15/ZiZySHlJJL+McllQia6Cg4OZM3cOlSpXVrsr1xRR2ISJk7h99y6ObFBN/W2jRmGxMVh972I4uBediLZiu3ciql4Ntd1KdKM6xPbsKn4+E+ORQ9juB+ISx6bX3fTy1RM21HVeVfm82SLaLPdn951YNHEaHLGXiD0/nV1j69OlciFK5i/GZ/kbU7TVHIZsusnBkGQep4jo4zXZy2VKIvH+OQIPLWHP4nFMHjsivSX5iBGMyOwxcqQYwxk2qDf9OzakS82CVC/wEd988h5/+fN7/M9fPua9zwrxabEOVOi2hjHb7nAqNJlo8dllZi3EX5TXpfNqfTKJ5F1GOXVziwggMSmJPXv30rZ9e34sVZriJX6kXYeO7DtwgITERGx2+ztQbf4PoLw3QkQeg0Gd31KbXq5ZSfywgWqnZqUyR2T1isS0aa5Wqk/bvkXNSHRERqiFftW1Ya/h/f2d8lIqbCyl7aoH7PfTkSheBHYNtsjT+GwbyYLOFWhdOj95vi7I5z+2p8bwbUw+/JhzT1JJsr8ee7ksyehCrhB8aj1H189hwaxpTJo8lanTpmX+mD6DqTOmM3niaMb2bcOgxkVpVPRj8n72F/7yv3/mv//nQ/78t4J8UrwzFXtvZPyue5yLSCFWRF6v99zjn/nVyEvKSyJRMYvI4cbNm0yeMoUGDRtRpGhxqlWrzuzZc/Dx9SVBq1WzEyW/gRCQWmIqLgab3z3SDu4naf4sYpVLiXWrESmiME2zBsT364lu7gzSDuxVS1Gp7VaUGol/UGB/TF4rgzgg5JVkUeIJcVi2RxN/awtnZ7ZmcrMiVMjzCR9/XYpv642jxYwzrL4YzsPk9MXJf1RhHpsBQ9R9In1OcuvUbvbt3sGWbTvYviOzx061F9D2bRvZuGo2i8Z0YVSzYjQu/KGQ1/u89/6n/PXT7/myUG1KNFUqcBxjxdkn+MSbSBaf1eu/8vsP/kleTesLeRUlrm93DCeO4lDWYZhNaodVdVjMcsjxTg2v2O6xWrGnpfLsQRC7Nm1kYK9eVPqxNOWKl6B/9x4cEPv4owB/zMniZM8mjlRivOix3uXhFfJX3ktlKPJSui+7RDRrfxyC8ewpdAvnqAuZI6qUJbxUESIqliK6WX0SRg0hVRynrcpcWHQUntQUNanj90rsD8jrZ4V5LT/FE3bssbd4dmIGu8c3okuZL8n/8ed8+l19Srady8B119kfkkqETTzsH4wavS7xt9K0pMY+Q/MsmIdiYwy8H0RQUGaOBwQFP+bBg0CC7hzn+sH5bJrYlgE181H28z/z+Yef89E3pfiuamfq9J3P8JUn2XIhhFvPdMSYHKq0MxNVXlcvk7xkodhYGhBWujAxHVqhX79ahPaXsD24jz3kYfp4+EAOOd6tERKsDqvYD5Lu3MJn907WjBxBj6pVaFywIL2qVVP/fXfndpLv3sYpDsbKeOFjyZH+fj4S78+Tx9ifPsYaFKB2bE7dsVlNnde0bkp42eKEFvmOsJIFiaxdhbheXUQUNpO0PTux3L6BM1bzu+fCXo+8zD/9cRFX2KJJeXqc27vGs6hTOZp+9wk/fP4D+cq0p87wjYw9/JgzkXaS/mA1eSWl1eNy4LKLMymrGbPJhElEFible2YM8dhKtpLZZsOcGkNS8FH894xh5aA6NC2ai9wffM6X35ancO0+NB+/mekHAzjzMJEInZk0qxOH0n0547lnFj9FXnoReWlaNCKsRAGixAaTMHwQyQvnod+4lpQtGzPGBjnkeDfH5vXoN60nfNF8Lgzow7LqlRlXID8TCv3AhgZ1uDFyKDErl5K2dZM6XvgYcjw/Nq1Dv24lycsXkTRjiprEoSRwhBb7ntAC3xJaMA9h4v+VOolxvbqSvHSBOhemRG+/h5eSl+fRUUI3dWdl91JqhY30hI3FtF0ewD7fJLR/l5eCCYc+mMhbWzm/oDNTGhek5ne5yfddRYo2HEmTKYdZfDEC/0Q7evcfj8DeLMp1cDOulGDCL6/i2Kz2jG5enrL5C5I7fzXKNR1GpylbmX/4Hmce6YkyurG/wW7LSqVn6+2bpKxZQUy7FoQV/0GE7YXV+a9YEcYrlxDj+veSQ453fPREO6g3UeIA6t+sISfKlmR7/m/ZkjcXR34sik/jekT26EzCgN7qePFjyPHLoyexPbuolwqV9PnQQnl5lu8rnuX+jKfffMKz73Op82HK7QwH9uLS/77CyC8hLwPuR0d4trErK7r9mF4eSsjrs6aLaLPMn30+/yovN167DmPkdaLPz+HIlIb0qVaAEt8WIG+RxhRtMpmeyy6wJyiR4DQ3KcJeWayb/i/jMYErAmPoEa6uG8rsDlVpUa4MBZT5rUaj6Dn/EKsvPOJ6qJ5Y4+vLrHxZ3GlpWAP8SN2+RRVVRIUfCS9RUL3mrGT/KGG70mhOHXXkkONdHVWIrluNCLE/PKlSjsBSQlhFf+B2kfz4lSxESMXShNesTJS4rTJe/BhyvHhUSx/iGKPOeZUuKk6iCxAq3ltFYkr0pQxlPl6pUp8qImCXNiHjCPZq/La8XEYhr8M8Xd+Z5V1KUKXgV/wlTxU+brSAlov91Mgr6V+P0l4HHmM49siTBB8cy7KeVWhRLC+F8xTn6yLNqdBjCaN23+NgsJ6nKS4s2UJeHjyWBDxxF4g8O5WNI5rRuVpFqpZvRLlmY+g46whrLodyO9aKVrygt1G6UVl/4YgIw3z5ogjJF6pnNjEd2xDTqS0xneWQQ45/Hu1+Nl70ezleffz8Pf3X91Y5FonRoaV6JUg7ZjiGwwdxKckxv4PflpfbiDP4AA9WtmNRhyJU+v5z/vRNRd6vM5sm826z+66WRNu/HqnFv5UoxR5FctABri7qzIymP1CnUC6++LIgH5fsRMV+Sgp5AGefpRGbDbJSvV47Nt0T0m4s4ea8xoxtUZmqFZtSrc0kEUmeZ6N4H/wTbCQ7Mjcd/tdQJj6V9gRKnx1roB+ms6fExnFAbW2Qtn+vGHvkkEOOv4+9GA7sw3RwP+ZDB9Sh/L9R/EzuL390iPdPvI8G8X4axPv6j6H8ex/GY4fV5A770yd4lKzO38Hz8vK6ROBkwmnSYUiOJTYsgODDC9g/sjpDanxNoS/+yv/7qCD/WaIP5ftvZfaeW9x4rEGjM5JkdGJ2eHGp1wGVaMyBI+kBmrPzODapHoNq56P4V5/w54+K8LeSXajRdxmTtl3kwJ3H+D+LITIumcQ0K0aHG4e4e9YJyEQk6UhAH3qZ+xsGsbFLOXo0akjdjpPoNu8Y630SeWCEVGGtN3yl8MV4RJRos6gVnl2JWlwJCWpJFznkkOOXRnzGeNHv5Phj46f3VgxxYq3USFQqbriNhj+03ut5ebnEQS81EkOEL0/vneHC4Q1sntaL8S2K07T4Z+T97AP++6O8/G/eehRuOILuk9eybP8FjvmEcifcQFSKSwhMHDzVB/PitSZgCjtN4P4JrBxQRy3eW/Dzr/g8bxm+r9KO+j0m0X/GehZsPMG+c37cfJJAWJqdVBGNZZkivt5UXGn3ifHbzeGpvRnfpBG9e45h6NKjrDj/hDuxVpKFuLJS8onSkkBpTSDXdckhhxxZZpiV7+J4pBybnM4/1DrleXk5zbh1T9E/vsL9K3s4tHUBi8b3Zni72rSpVZYq5UpTvHRVSlRqQa1Wg+k5bhEzNx1m66UHnA/R8zTJicH+k7wEXuXA+YyE+we5sHoUC7vWoWPVUlSpWIXytZpTt81AOgyazag521i17xpnAjU8TLahc2Qhebm0OJNuEnlrC1smjWBY+2GMn7mD9ZeecjXShNb2Zvt2vRTKk1EawykFMeWQQw45stJQhKWO9MPV7+F5ebnteEwiWop/RFTIbe7dOM2ZwzvZt2k1G1ctZcWypSxesoLFy9ezeuMedhw+y/Fr97j+UENwrIl4gwur6+eF8MUTxYA1+SlRvme4vX89+1YvZNWyxSxavppla3ewbsdx9hy/wYW7T7gflUyMyYkxq1yCU7An4ky4IyKvIxzctJkFC/ez43ggdyINxFi8b6VrskQikbzLvGDOS2jH4xIhnR2n3YLVbMRoSCMtNYXUFD0pej16fYo6UlLFzw0mjGYrZpsTm9Ojznc9n/ouZOZx4rKbsRlTMaYmi8dJJlk8VrI+FX2qgVSDGZPFLh7DjfOFj/G2EE/EqseV+Ahd6D18fIM456vhvhCX3uJ+a8kZEolE8i7zvLwk/4KQl8OCx5CIJTmO2KRUIvQu9NZstD5NIpFIchhSXi+DiES9LhtuhxWr3Y7J7sbu8si2CRKJRPKWkPJ6aYSohKzU/5T/zfipRCKRSN48Ul4SiUQiyXZIeUkkEokk2yHlJZFIJJJsh5SXRCKRSLIdUl4SiUQiyXZIeUkkEokk2yHlJZFIJJJsh5SXRCKRSLIdUl4SiUQiyXZIeUkkEokk2yHlJZFIJJJsh5SXRCKRSLIdUl4SiUQiyXZIeUkkEokk2yHlJZFIJJJsh5SXRCKRSLIdUl4SiUQiyXZIeUkkEokk2yHlJZFIJJJsh5SXRCKRSLIdUl4SiUQiyXZIeUkkEokk2yHlJZFIJJJsh5SXRCKRSLIdUl4SiUQiyXZIeUkkEokk2yHlJZFIJJJsh5SXRCKRSLIdUl4SiUQiyXZIeUkkEokk2yHlJZFIJJJsh5SXRCKRSLIdUl4SiUQiyXZIeUkkEokk2yHlJZFIJJJsh5SXRCKRSLIdUl4SiUQiyXZIeUkkEokk2yHlJZFIJJJsh5SXRCKRSLIdUl4SiUQiyXZIeUkkEokk2yHlJZFIJJJsh5SXRCKRSLIdUl4SiUQiyXZIeUkkEokk2yHlJZFIJJJsh5SXRCKRSLIdUl4SiUQiyXZIeUkkEokk2yHlJZFIJJJsh5SXRCKRSLIdUl4SiUQiyXZIeUkkEokk2yHlJZFIJJJsh5SXRCKRSLIdUl4SiUQiyXZIeUkkEokk2yHlJZFIJJJsh5SXRCKRSLIZ8P8DRijS4ad7FQQAAAAASUVORK5CYII=)
The fig shows a mixture of blue, green, red colours incident on a right angled prism The critical angles of the material of prism for red, green and blue colours are 460 , 440 , 430 respectively, The arrangement will separate
![](data:image/png;base64,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)
physics-General
chemistry-
Ethanol reacts with thionyl chloride to give ethyl chloride and:
Ethanol reacts with thionyl chloride to give ethyl chloride and:
chemistry-General
physics-
The minimum speed for a particle at the lowest point of a vertical circle of radius
, to describe the circle is
. If the radius of the circle is reduced to one-fourth its value, the corresponding minimum speed will be
The minimum speed for a particle at the lowest point of a vertical circle of radius
, to describe the circle is
. If the radius of the circle is reduced to one-fourth its value, the corresponding minimum speed will be
physics-General
chemistry-
Scientific aspect of fermentation was first studied by:
Scientific aspect of fermentation was first studied by:
chemistry-General
physics-
The convex surface of a thin concav–convex lens of glass of refractive index 1.5 has a radius of curvature of 20 cm The concave surface has a radius of curvature of 60 cm The convex side is silvered and placed on a horizontal surface as shown in the figure A small object is placed on the principal axis of the combination, at a distance of 30 cm in front of the mirror The magnification of the image is
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)
The convex surface of a thin concav–convex lens of glass of refractive index 1.5 has a radius of curvature of 20 cm The concave surface has a radius of curvature of 60 cm The convex side is silvered and placed on a horizontal surface as shown in the figure A small object is placed on the principal axis of the combination, at a distance of 30 cm in front of the mirror The magnification of the image is
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)
physics-General
physics-
The convex surface of a thin concav–convex lens of glass of refractive index 1.5 has a radius of curvature of 20 cm The concave surface has a radius of curvature of 60 cm The convex side is silvered and placed on a horizontal surface as shown in the figure The combination behaves like
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)
The convex surface of a thin concav–convex lens of glass of refractive index 1.5 has a radius of curvature of 20 cm The concave surface has a radius of curvature of 60 cm The convex side is silvered and placed on a horizontal surface as shown in the figure The combination behaves like
![](data:image/png;base64,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)
physics-General
physics-
The convex surface of a thin concav–convex lens of glass of refractive index 1.5 has a radius of curvature of 20 cm The concave surface has a radius of curvature of 60 cm The convex side is silvered and placed on a horizontal surface as shown in the figure The focal length of the combination has the magnitude
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)
The convex surface of a thin concav–convex lens of glass of refractive index 1.5 has a radius of curvature of 20 cm The concave surface has a radius of curvature of 60 cm The convex side is silvered and placed on a horizontal surface as shown in the figure The focal length of the combination has the magnitude
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)
physics-General
physics-
A point object O is placed at a distance of 0.3 m from a convex lens of focal length 0.2m It is then cut into two halves each of which is displaced by 0.0005 m as shown in figure
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486672/1/930095/Picture68.png)
Separation between the images is
A point object O is placed at a distance of 0.3 m from a convex lens of focal length 0.2m It is then cut into two halves each of which is displaced by 0.0005 m as shown in figure
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486672/1/930095/Picture68.png)
Separation between the images is
physics-General
physics-
A point object O is placed at a distance of 0.3 m from a convex lens of focal length 0.2m It is then cut into two halves each of which is displaced by 0.0005 m as shown in figure
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486669/1/930094/Picture69.png)
Number of images found is
A point object O is placed at a distance of 0.3 m from a convex lens of focal length 0.2m It is then cut into two halves each of which is displaced by 0.0005 m as shown in figure
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486669/1/930094/Picture69.png)
Number of images found is
physics-General
physics-
A point object O is placed at a distance of 0.3 m from a convex lens of focal length 0.2m It is then cut into two halves each of which is displaced by 0.0005 m as shown in figure
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486655/1/930093/Picture70.png)
Image will be formed from the lens at a distance of
A point object O is placed at a distance of 0.3 m from a convex lens of focal length 0.2m It is then cut into two halves each of which is displaced by 0.0005 m as shown in figure
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486655/1/930093/Picture70.png)
Image will be formed from the lens at a distance of
physics-General