Physics-
General
Easy
Question
Consider radioactive decay of A to B which , further decays either to X or Y, and
are decay constants for A to B decay, B to X decay and B to Y decay respectively At t =0, the number of nuclei of A,B,X and Y are
,
zero and zero respectively
are the number of nuclei of A,B,X and Y are at any instant t.
![](data:image/png;base64,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)
At
, which of following is incorrect?
The correct answer is: ![N subscript 3 end subscript equals fraction numerator N subscript 0 end subscript lambda subscript 2 end subscript over denominator lambda subscript 2 end subscript plus lambda subscript 3 end subscript end fraction](data:image/png;base64,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)
Related Questions to study
physics-
Consider radioactive decay of A to B which , further decays either to X or Y, and
are decay constants for A to B decay, B to X decay and B to Y decay respectively At t =0, the number of nuclei of A,B,X and Y are
,
zero and zero respectively
are the number of nuclei of A,B,X and Y are at any instant t.
![](data:image/png;base64,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)
The number of nuclei of B will first increase and then after a maximum value, it decreases for
Consider radioactive decay of A to B which , further decays either to X or Y, and
are decay constants for A to B decay, B to X decay and B to Y decay respectively At t =0, the number of nuclei of A,B,X and Y are
,
zero and zero respectively
are the number of nuclei of A,B,X and Y are at any instant t.
![](data:image/png;base64,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)
The number of nuclei of B will first increase and then after a maximum value, it decreases for
physics-General
physics-
Consider radioactive decay of A to B which , further decays either to X or Y, and
are decay constants for A to B decay, B to X decay and B to Y decay respectively At t =0, the number of nuclei of A,B,X and Y are
,
zero and zero respectively
are the number of nuclei of A,B,X and Y are at any instant t.
![](data:image/png;base64,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)
The net rate of accumulation of B at any instant is
Consider radioactive decay of A to B which , further decays either to X or Y, and
are decay constants for A to B decay, B to X decay and B to Y decay respectively At t =0, the number of nuclei of A,B,X and Y are
,
zero and zero respectively
are the number of nuclei of A,B,X and Y are at any instant t.
![](data:image/png;base64,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)
The net rate of accumulation of B at any instant is
physics-General
physics-
The mass of nucleus
is less than the sum of the mases of (A - Z) number of neutrons and Z number of protons in the nucleus The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus A heavy nucleus of mass M can break into two light nuclei of mass m1 and m2 M only if
Also two light nuclei of mass m3 and m4 can undergo complete fusion and form a heavy nucleus of mass M “only if
The masses of some netural atoms are given in the table below.
![](data:image/png;base64,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)
The kinetic energy (in keV) of the alpha particle, when the nucleus at rest undergo alpha decay, is
The mass of nucleus
is less than the sum of the mases of (A - Z) number of neutrons and Z number of protons in the nucleus The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus A heavy nucleus of mass M can break into two light nuclei of mass m1 and m2 M only if
Also two light nuclei of mass m3 and m4 can undergo complete fusion and form a heavy nucleus of mass M “only if
The masses of some netural atoms are given in the table below.
![](data:image/png;base64,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)
The kinetic energy (in keV) of the alpha particle, when the nucleus at rest undergo alpha decay, is
physics-General
physics-
The mass of nucleus
is less than the sum of the mases of (A - Z) number of neutrons and Z number of protons in the nucleus The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus A heavy nucleus of mass M can break into two light nuclei of mass m1 and m2 M only if
Also two light nuclei of mass m3 and m4 can undergo complete fusion and form a heavy nucleus of mass M “only if
The masses of some netrural atoms are given in the table below.
![](data:image/png;base64,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)
The correct statement is
The mass of nucleus
is less than the sum of the mases of (A - Z) number of neutrons and Z number of protons in the nucleus The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus A heavy nucleus of mass M can break into two light nuclei of mass m1 and m2 M only if
Also two light nuclei of mass m3 and m4 can undergo complete fusion and form a heavy nucleus of mass M “only if
The masses of some netrural atoms are given in the table below.
![](data:image/png;base64,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)
The correct statement is
physics-General
physics-
From the figure describing photoelectric effect we may infer correctly that
![](data:image/png;base64,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)
From the figure describing photoelectric effect we may infer correctly that
![](data:image/png;base64,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)
physics-General
physics-
Figure represents a graph of kinetic energy of most energetic photoelectrons, Kmax (in eV), and frequency (v) for a metal used as cathode in photoelectric experiment. The threshold frequency of light for the photoelectric emission from the metal is
![](data:image/png;base64,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)
Figure represents a graph of kinetic energy of most energetic photoelectrons, Kmax (in eV), and frequency (v) for a metal used as cathode in photoelectric experiment. The threshold frequency of light for the photoelectric emission from the metal is
![](data:image/png;base64,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)
physics-General
chemistry-
OxidationstateofFeincompound(F)is:
OxidationstateofFeincompound(F)is:
chemistry-General
chemistry-
Compound(A)is:
Compound(A)is:
chemistry-General
chemistry-
An aqueous solution of an inorganic compound (X)givesthe followingreactions:
i) Withan aqueous solutionof
,aprecipitateinsolubleindiluteHClisobtained
ii) Addition of excess of KI gives a brown precipitate which turns white on addition of excess hypo solution
iii) With an aqueous solution of potassium ferrocyanide a chocolate colored ppt is obtained.
Identify X-
An aqueous solution of an inorganic compound (X)givesthe followingreactions:
i) Withan aqueous solutionof
,aprecipitateinsolubleindiluteHClisobtained
ii) Addition of excess of KI gives a brown precipitate which turns white on addition of excess hypo solution
iii) With an aqueous solution of potassium ferrocyanide a chocolate colored ppt is obtained.
Identify X-
chemistry-General
chemistry-
Findout (F) :
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYsAAAC/CAYAAAAPfPCEAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAKzlSURBVHhe7d0HuGVFlTZg/5lRZ8YZ45jBQJScMYAICIqYMICKikgQcwIFzDmhoohZzIKIShYExUAyIBmRIKiAqCgSJCv177c2X99ic+7te5u+TTec7znr2XUqx7Uq153KGGOMcatxww03lCuvvLJcffXVN+mMMcbtCwu1sLjxxhtH0hh3DPzzn/+s1Jb5wlT+4vKvf/2rfgmLK664ovzjH/+ocR5jjNsbxsJijIUW1157bbnuuusqQw4WpvIXF4JB/NA111xT49zGd4wxbi+YVFikAaDZaKD8nFe/0+Ns49iCn7MR55lgVBySXpR4539Lk4FZ3LSYm7shYn+Um+QrJt3mMbuj1HrUw/KI39FrQe/666+v37nhqquuqtM6/Bj673/CiZ5v4uM/xE7+z08kLYnXdNM1XSTeSXurJyxpnY10jTHGKNxCWKTBhVTUtrJCKuytqaj8jP8zResWjYoHvanMZxNhHOJInfB9Q4kbau20iN0WsTvUH+V+MvBjqjAx6d/97nfl73//+xy7SJrCHNnzJVSS1uR1S3Gb/+wRANy19kbBlI64MI8/eu7DOOQr/MTHf4h+7M1P8FN6Us5tPoDwQvMKfiXN/PG/DbMNb4wxZhO3EBYqnuG0RpeKiFRMaBvAvDTAuOV3GtdMIdw2XolDGxf6/A9TWpAQ9pCpga//SNyTx9ELxf6oNMLwPwz/T4VhOC3oifvf/va3+oXEA+PGwFNm/KBGbTxD4NuGx27L/Fq7Q0SocMt/7v74xz/WuCU83zaM1ClqYE4v9uYn+Bf/27DpQeJ0a8Llp3yXD8A//ieNvmgmYbA7v/NijNs/JhUWaQAqVb4hdkIzrXTxQwVP45ophDuME+QLzDWw20JYCC+NuQ2bOiQNmCEGmP+Jb/JV/vjPr6QZtemfF8SfUe4TduB/wiMoLr/88hoviD+j/PKffhBzevFvbog9JA/k129/+9vyhz/8ocaBOX1+x/+h3+xx5zuM461FmxblZCSm7YCwxC1lN69hi7d8b+sxP//yl7/U8OihNs2TIfbQvMZnjDsuRk5DpQEMK1QqZhppGuq8IH74zhSJx1RhM+P/bDCJuUF4U+UfM43/0ksvrQ0++UAvwoE9cc//lEnKBw39ny7izyj38VvYsRe74kK4+T83sJ848itpmglaP4D6kksuKX/605/mxI+/bXza+II429LqO9Pw54Y2fALpwgsvrGUqHMRsXtMecJvOW/zw/7zzzisXX3zxjPxlV1zbPB1jjOliygVulaqtWG1lS0OY10oXf3znN8SppQUNYYbJD9PnP2JOUOips5d8bin5M0o/9ucFicMo9/E3doZhTSfMuAfpxOClk37rT8KYDMIlnHxjF6NEcdfWQ8Rum5/sCns2hIUwwsj5b3qsTWfi5jsvYXMjnfwQVvSohUNAJV/mhviF5jU+Y9yxMamwUJlCLVr9oVmLNNi2Ik9lfzYxjHNotiDd5pkxkuQBSoMP6M1LfG5t/Kfrnp22/IZgPizjIP5j9n/+85/LZZddVvXUC3otg58MyTPfllq0fvjyl/+YN7vCo/Ydup0u+JuwlamyFa/4HfWwzPOdKo1zQ5u+UZibOYiDPCFcki8LC8S9LePkZdT5InYni3vygXnU3KgP9ELxB40xM0wqLG4NFISeT7sYCpMV9GwjlWNIswV+pzdILd3yoc2L2wOkTRpHlWsaJgqzTr5gqpiX/6FRaM1bmgzMks8JD4kLmsrtVOAuaXHwzohQ/BMGJJ1D5jSvYc5PiIf4ZhS0MMSphbwTx+Rh8i552eb/VGAv/sTP4X/fttzGmD5mTViEISig6EW9oCHsUTSbaMOQ7jCw2xOkL41wiKQ5eRC79CI8oj8ZmI2iURhlbzISN9+ZIPbFPaOH1o+kN/ot3ZYQvriJV+i2jtMQ4pTO1SgM83YU2Em5tgSphwvjyGpRwqwICxgWWKu+oyFpv71V0qRpWK5Jb4idllGNcnNrkbBaTKZ3a8KXhjCfFv4zm4203VqIT0sLE8SnzVObF/baa6/yvve9rxx00EFzNgyk/qBRaPM99c038J+gYGdhHF0tCpg1YQEKRIG1hTbG7Qcp32HDaxtqa2cymh8Y5ddkeqPiPB3E7dA9dczGmDnkXYSFXV4f+tCHytOe9rTy+Mc/vvzkJz+pdpijqfKYmbqXsvH99a9/XYUDxLy1M8b0sUBGFimYRbmA2rjPNB3Jg7hr1dDqL2oYxtn/MFOUhhn9FtGfX0gYofnpN/8iBBNO/Pedn2EtrBiVzqnyYPgfRtkjBDINZfpa3v7whz8sm2yySTnwwANvsnVzjPI7ZcKvs88+u3zve98rb3jDG8qhhx5az+eYFs8U6Cj3Y0yNWR1ZDLEoFJA4qrTpxfjvm8ocszCOyRB3cdPap+af/yj+ZT61zafEJ3YXdojvMP4tzSaGYc3P8Eb5jWJ2e4Z6l/qZdiDNYfLUbb1N28kXxZ1v6nmmhULxg71PfepT5XWve1058cQTy7HHHlsZ//e///3y05/+tE5Vxa4v+4kfWJvg/ilPeUpZdtlly6abblq+8IUv1M0JkPiPMTMsUGGxKEDlU8mRChU1UtF9Y8d3FNpKzJ7/KjKKXvzQ26Hnf+smjTBxGPo3xhgLCqnPYfhRt/VQvWRGzxeBOp92E/e+QI2xxy7w+4wzzijveMc7ytFHH13OPPPM8sY3vrFss8025YUvfGF5/etfXwVIkLBaP4RpN+YxxxxTXvva15ZTTjllznbntKMxZo6xsBiBVKogu7roq/TTwZChp7FAGlSrF8Qds6jZbe0P/R5jjNlG6r9v6q+T8Xr9FqK//e1vl0MOOaTst99+9ToW5ukIqbfc+fqPmf/qV78qn/vc58oHP/jB2us/7rjjat2+4IILqkB4znOeU770pS+Vk08+uVx00UX1YkvE/Pe//30dZXz3u9+dE5bT81//+tervi37QBAdeeSRVXCkPbOLxpg5xsJiBFKpDVv/+te/1krsUJnrFWybVAlVWid2JwM7OaGt8vKPHn/4m5GGhkdfgzj33HNrGP7T57+GIXzuVfhU+jHGWJBQ79RBbSP/DzjggLquYOcSofGtb32rrLXWWuVjH/tYtdMibrmzDvHUpz61vPnNby4/+MEPyic/+cmyxRZblL333rucf/75dTeUkYWpJAvU0HaQTEPtuuuuZZ111im/+MUvqh576667btl6661ruwJfI4pWSAnf/3GHa+YYC4sBVCYVCekt7bzzzrVynnDCCWWXXXauPZmzzjqrVm49olGVjt4vf/nL2kN69atfXRfr9LK4e+tb31re+c531l4SnHPOOeUDH/hA2XbbbctWW21VXvSiF9Vht0az2267lec973nVDvBXpR8V5hhjzBbUNxSBATo36qrpIb16MNKwk8mIwRUvbgjWXnKXF2atHajnT3rSk2rnCHSKXvziF5f11luv/PznP58Tjo4ZN2H29IFfe+yxR1l77bXnCBN2nv70p5dXvvKV9X8rFHy5aTtd4zY0c8yqsJhboaQStpQKEXW+0Z8a7KjMIf+HFP1bhg1tOJ/4xCfK6quvXk466aQ6wth9993rbZ/nnHNuWWGFFWvvRkUM/vWvCX+4ecxjHlOWW265uv2P/mmnnVY22GCDstlmm9WGZMfG9tu/pOp9/OMfL4cddnjtUa2yyqrd8PkHtSHe4x736ATVr6qfyYeEMS10Vmdkv0MfzoSbqZzzu/U/6jauQzuzhWEYCyrcmaCN0zB+Q7MhRuktKAzrnpGEtvHFL36x/meGEWsnBITRhZ6+3r8OkhE1WIPQLgiVNj2mkJZffvmy55573qTTg58RFrHvP3srrrhiXfi23ZaQedSjHlVe85rXVDviw15GEwRFm4aZ5mVrP37MC4Zht/97dVVW3Nzslm6DyfTnN2ZFWIi4wk0Bh9qCoo6d2KOncKOXSuKL4mZyMMO8507/+lcfRhuPxE1P/jvf+U5l1o94xCNqRXS/0VFH/bj2jC699O9l/fU3LG9605u7+LbrECpoHz/6L33py7qGsU43ivh91fN9+tOf0fV+XtU1nsvLe9/7vrLqqqt3Ye0/x5+//OWSriF8shMQJ3aC413lQQ9arJxyymnVjP/oRoxc3ZgGJV9R0jeKAmppEA6B0X+7HLtB2LHPXm8/ficP8z9lRi8NdTYhXsJIWvJ/NsPld5gRJOzJwDy927Zuxx1/6EHycpieuYUxW0jcklZM+uEPf3j55je/Wf+3ZmDUfec737m2IW3J1Cr87Gc/K6uttlr56le/Wu3HjV1OK6+8chUsyQOQXv/b/JBnOnIPechDujb03rLvvvuWd73rXeXBD35wHe3EXdZM8n9eIdyEj1J2M4Hw457b/O9HTr3f2pg2h+jhCeEp118vTG77/IpfwK9bk77pYtaERRqBr0Qlc5KwVj/qUBpUMhVR02d3csg8hTh3uvHGifDauBAMr3jFK8pOO+1Uh8u23ulF7bXXl8pTn7pZOeOMM7vh8bXdMPrJ5fWv37EWKHe9PynwLogOzJdffsXy7W9/txty/7YcfPAh3VB7/fLGN+5SRydPecrTyuMet2EniP5S7asUnVdVkPD3U5/6dFlqqWXmCIs+L3z9mSb5VHe3FOBJf0t9HHqHvaCQL70a9e742fv7z3/2ecffCT8mypMaMZ9NJE2JOwz/z29gRnrSORswNwzzJv/ljW/iGzv5nzT40r8tkLC1QfjRj35UR82f/vSn6/8W7Jl6vc997lOFAJiqOv744+v00QMf+MDy9re/vTLK1AtTviussEIdkZx66ql18Zreb37zmznhJl98jSzWWGONumPKGqBp2zXXXLO84AUvqP7xl5v5kV9Je8opflPPBOzHnbRfe20/zcY/basVCNS9PVfU91Nxvpm9QL272W1XLWZtGioZLDOSuFDMk9i2IKhjJmOp6Q0LK37dnFSM6VErLLgFjd800BOf+MS6C0NlNdRW4TH8Bz/4IeWww77f2S9l222374TKKztG0feYFCIGn55B520VCg9+8OJl++136BrJJ8vOO7+pa2ArVP2TTjq5PPrR65SNNnpCnZsVh+uv74VF8NWvfr0TVst3cTml/meHvz1YDA0xoZ+8mVBPMCH5iJIHvZ7GmHzp3RhRpLfjC/mPgviZMso3Zed7e0KEhQ0M00mbPEDyKeAuxCxo7UDaxijQH9qfn0i5IvEAzPnZz352eclLXlKnncRBPhx11FF166tdSP/3f/9XfvzjH1f7Fq1Nvxqp3+lOd6pTrzZvAB5hi6vpqf33378ufD/60Y8uq6yySl3kxgfCZIUj300Jm3bKmgU/nPg2koHYnx/5wo+2Lic+k5XHZOBH/OGnOLdxbKNKrY3hKX1YfdvX3uIepVwWBKYtLBK5IU0GGZlE+fpP3RZi7MQser7JWPZVDqAvg9kZRTMRFoh/baGbajKasKgMKrreiu/pp/+6jhKMDuA1r3ld11BeWq68st+mBz2jVXjSdWM3stiprL32ozr3P+2YyqXlmGOOLU94wiZlxx3fUM4886zy5Cc/tQqMv/6131UVRhwG/KlPfaYb6i/ZjXb6HR/M+T3TdHY5d1MeTeS1fJe/+e8rLyIsxEG2UIP0XHttejZ9Wn1bJD9bv8GX3oJAwkLiMxmS5tidm/1R4EZ99IW5uWeesCBtIfkErRq4GbprMZXZ/IIwxKuNi3ibajJ1pM3Y0fTud7+7bnm1w2mfffYpd7nLXeoXjNhtrbULyvTR0ksvXRejTWN99KMf7drFE+qGDusPhx12WPnIRz5S1l9//bom0oaL2LHriT8HH3xw9d9ZCsLFOglzYJe7WwtpTzm15TNTv/khTkai1j5NzakDZhKuuOLKSpdccmm59NLLOsHrXEgfFneXX35Ftcc9CLstk/mRzrlh1oSFBCaD8zUMtQ/bToq4jzk1fYxZRkbPToovf/nLdY6UXioMd0Pqmag4TY8wvjA3+NOf/txV9ueVddZZt04bHXLI97qh8UrdkPqocuKJJ1X1gQceVO1utdXWdf3hkkv+Ws4665w6PaUXgLnKlr///fJuSLxV11tat+uF9T2o88//XZ162mab7bqw/lI+/OGPliWXXLobUn+qqzi9QDzxxJPL3nt/s05NveMd7+yG8vftGt9R1axL4k3pFH9pnR5JZ8/85XmXcs4b+E8QiLMKSzDEPlx88Z+6cvtO+cUvTqjpu/zyK7vRzqnll788oe4SQ3p47aVvGoRtjfbPGzkR+Mnn2ULClkeQ72RgV9yy66bP13nH3NynHYDet62i2UmE2RnJfuMb36jk7IK2okfuEFrcCaMNh7qtw7OFhCsewgPt9bOf/Wxl+pi3nX+Yu06XKzae+9zn1nMPiS/72223XV1vsI7xlre8pe42fNOb3lS+8pWv1E0f0sG+EYZRgikpEG7MTE1Z27CDCl+gbybAhhOnvuOG/tzqwHSQNAvb13Z4O79mAm4RQUaoEq52gWl32taLX7xN5SnbbfeSLj9fU971rvfUjulf/vLX6t566dvf/o7apuJXeOSCwp0EJjNQIjEKsdPaS+ENQY+9mCM7glwO9vKXv/xmw88kWCGY/7Rvm1AB+rbgqQQbbrhhrRgQv1MZfNMQE15P1fpIYIT9CGCiQpHmGPjDHrZEN7p4fnnRi15cp5F22+0j5YMf/FBV7733PpWhbrDBhlV4/OxnvyhveMPOZaed3tgV/qXVH37/5CdHl9VWW6Mss8wjyhFHHFnDOeaY47qh82PKWms9shx99DFVwBAoq6yyWnnb295RhcaWW76wa3SvLRdccFF52cteUf7rv+7W9c72neOvdHU5033lLQYhzb16SL1ZP1IgAMC02Y9+9ONOEB7aCYd+h4p8IOiuvPKqKgjE9dpre4ZgMV/FfcYznjVnCu6Pf/xT1xv8WJcHj+/K60m1N/mMZzyjvOc975mzHRIDVp6YA2EynYp987JLWm+O1izlFrUw1ClMJ+dTYid1A1r3hJi4hhm0NDfEj6jn5la+gi3UL33pS8urXvWqemeRqRt5uPnmm9dt05iudmBO/rGPfWzZYYcd6lZsGPpPLd0odZlem975AX5N5j+m59yRtio/5aV1BGeGMNXYc6LatvEISOeQ2OE+aQButXnCxNRWwmPuq7yEZQpQB4U+PUzcrivq2Od2Mpou2FWvQJwJO1NlDha2kD/DMEIgPkZRRld4mbxi9q1vfbvc734PqLMIH/zgbuVzn/t8FRp4xfvf/4GuzV7TdcZ+0wlkAmWrLv8umOOfdLZlMZu4kwTKiLaxjIIIsdtmSHqLQzcx5wY0XrsUzClqGPGnFRZ6AwTCEkssURetII1dT+KZz3xmNbfdFOIHYicZl3CjRqNAu7MyB7F20UUXV4GBUe/4+p3Krru8qXz+83t1ertXofDzn/+y6zldUt73vg90vZu3V4b/mc98rqtAn6yMNeEff/zPyy6dW270CowcCBZuTE+ZmsL8zzzzN+W9731/ee1rX19e8YpX1R1Qp512RvXjK1/5Wp3uYrf3V5xFlFp65V0vGPL/n+ifvX6EhYUx6yFwaVfZd3jJS8tDH/rwruG+u/zu93+o+vDPTqhcf12YTp8h3/zmt8qaa65d02i0kPR94xv7dGW1VN366zCWuWu7Y0wlKFf2MEWN3maBMIipEL9R6sUQsaNusJM6QC1czMVI1EExjITd2EHc+wbxL2G19oJWPRniT+I0Gdh529veVufvTz/99NqDftzjHlc3VegkYXiYIKHh3ICdPq65kL/pZPEDtfBfngg76snycH5hMr+H4ao3Fqz1+jFLAnII9pNvBI9zR7bTgvQkXdNND3tzo5kgcVOnxO2ud71rXXexpmKbPF7Ylok8SHyjb4SoQ2D6LuZwwAEH1vZoZGGqCcxWbL75c+rU9/e/f0TVO+KIH9SpNsKKWyReaKbpmRdMW1gk0TH3DbNvC3JUAgy3H/nIR87JJJC53INhq9sh/+u//qsKhFQmfogXmO+8//3vX4esCSt+zRc0yb72mus75t71Nq/r0lEZaN/TtkNBkrrgK/Pvdyf0UzjsM7spyV3cMGlPWXpRra9oGDY9RC92MWZ+/OMf/eMswIwf3MferUGdoesgDl/+0tfKYx69XnnA/R/c9WB2KEf98Mflb3/tGOtN00+J7znn/Lasu+56dYRlzhSkGYwsjKwOP/zw+h/Te9CDHlR7zG1vEgO0YcAcNKYxN7R1KH60oJd64Ru76U3St6Pm+c9/fl14jZuYtXU9ZiHgVxt2azYVYm9u9o2yLORihNROPD/5yU++BQM1F28Rl/AgjB1A8wXxb+u+8OgtrDBSMN1kpLTlllvWxe+p2q7RgbRmlLqwwU6wl73sZWWZZZap56DwLHXOFJH6pTzCFwP1UydBp1cnCpjjKe9//wfL4os/rBtRTBzyxVdsoTcNrQMJRv6mqyz+51AvcKN+zzamLSwknr1kQCLoP6Ju9RJ5wzYLxqRwe9oy9jEW0tk2PPuyjUAIEuBPKpXelkamcRmpAHvca1AYkWkkDBeZbkEy2HSLBWbzf5dc8rdu2Pv3OmX0lz//tfzp4ks6+munvrRc+rduGPv3K8rlf7+y/P3SyzsG6v+V5YrLr6zCgF/CU/lN19C77LIr6rSUsIXB395/V32I25V1xOH8hLDZMTIx/L7gggs7hnZhN5r5Yx3RmHqy2M0+fyx0+W/94sILL+rSfXFNAz/+WhfCrDH8owvjH+WSv/ytXPCHzo+O/njRn7s0/aV+f3f+heX8835ffnvu78p55/6+U/+hqvf71v7lUWuvW+56l7uVZZZevrz21TuW836bnmv91AX2u9zlP8vXvtb38LKOIT9f+MIXlZVWWqUb9fykHjY0vehQlamnNBjlp/z1phzOykn0uSH1yHcUUsdSJ33VX3pGFk7E65WnJw5xo86wH799Q8BeG3b+zw2tH5NBXE3DOGdAiBoxLL744nVeP+GII3t6sOb46elpm+YzT6+eD4UFO5iR+XDTVRaTzeFTY2B6tKZMFhQJT287cTBTYI3i85//fF2DOeKII6o+u4kvwUmd/3Ygirv//IvZMKwQ9zOlUf6MIuE6H0LNnSl1i/Dbb799+d///d+6u8s2YR3iD3/4w3O2+6oPEeLaO6FiulHnOOWn3F772tfVKetf/rKf1ko1so5z3/vev+6ezEj/ox/dve4yy9XtwkhYs41pCwt2VFT2Yw/5jxJh3+iBgja1ZLEqc5MyCNhXiTQaIwv7rA2342/bKPy3vc7owh5uIHy4U2jmdW1R3WGHl3W921d0zOtV5eUve2WnfnnZbtuXlK273rH1gRc8f6uy1Qu3rrTl87Yqz9niBeW5z3lBef6WL+rsbFdesv3Ly7bb7FDNXviCF5cXbbVt2ebFL6lTRMj01A47vLSG47+wLFjbGfXiF29be+GGk7bWmndE/ls4f/7zX1iZ7BZbPLc87Wmb1bMam276lEqbbLJpXfy2VhK3/HrmM59dNtvsmdVss82e0bl9XufXC8rznvui8uKtX9Kl8TXlZTu8urzw+S8uT970GeUpT35mecZmzynPeuZzy2ZP37w88QlPKRusv3GljR6/SXnCxpt2+s8uz37Wc8sKy6/aVfR/r3S3/75H2WLzLbsG2ldYIxrxfMhDHla3+cJEmZ7c9RLXLg984IPKs571rLoDhRB3Cl0ZK7c0Esxb2ZuiylrUdJD6NUTqhi/Gb0cJxqq3qnenPtjBZrfN+9///rrbRi8dw+UmdSp++4ZA/UVB6vPcwH3stu5biKfrsgkyzEZddi4gB9a41c7ED8Uv6VT3XbmNEQlrGCd+673r7WpHK620Ut2plO+CJFMlwkXiY7usLeiE5KqrrlrNdQ592RdfX2bc+B8zHRD6Tmtzw5x6SNzMlEb5M4qEKR5xJz25ncF01P/7f/+vMnDf//zP/6yL16n/+epQyQvrFaZkU0d0fDfffIvKH2x6afHZz36+Cot3v/s9N+nowH26hml9ENSFhDHbmERY3JKYq7TmwBF3aMLNBGREMsPupnvf+971GL4eOX3uNAZmpig0GIxGwZjfBuGxI25pGHqtd7nLnevdM2CLngIzFLznPe9Z7nWv/+sK7QFdBj+wfu95j/t0+v9XHvTAxctiD35YefCDHlLuf78Hl3vf637lPvd+QHngAx5SHnD/xareA+6/eGf+sM7eEvX7wAcsXh6y+BJluUd0DWCl1bsKs2oX1vJ195KFKPP15hMR9bLLLtc1hjU7e6tU9fLLr9TZV+lXq3boWexeaqllO0b2iOrm4Q9fqh66o7bA9X//d/+y2GIP6XqbD61M2jymRXVqJ7nZ5e/yy3WNZ4W1OlqzLP+I1cpK3XfVVR7VMf81ykorrl1WW/XR3f9HlxWWW70bNaxYllyiC+/hy3bqFcrSSy1Xll1mxc7O2mXxxZYo/+9Od+4q+V3Kv/2/u9YRxre+9Z2at3ZGScvKK6/ajX76BbWU89e+9o2u0axUttzyBZ2Q3KGWATIVBSlf9nUwrFsQFtmgcGvAz9SNbD3UUzPNpS7ZbonR2Fa58cYb18ZJWJk6UPe4DyOOf6H2f8Be7A7BXuo5sCdO6uwoYBKEmA6RnU4Yi6kJ4Bf32pg0USee/JOHD33oQ2/xGFDiSkhbdMVYCUuMmQB3FsF/6gVFpsyESUAgo0r6pqEQM2VELX565BEmzLiPXcQs7ttwpkP8m4xG2R9F7CYeNhxYbzJb4j8BYWRx97vfvU7DSqvOScow5WNk4oS5TT5GjIFRl+3zH/rQh7tynmD6ZhZe+cpXV37wjW/sfZNuKZ/5zGdqvTHKhNSPBYE7qeyplBLWJ04D0EB8e3UWUHv9/B8tLFo9OyDue9/71sUtUziBrYNW9p/whCeWV7/6NV3DfmLHJB9Sp6Tg5vv9+++XvvTlWjgf//gnqh29Rfu4rYV85StfrdMlX//63pW++pWvly/u9eXypS9+pey7737lu985oOz/3QPrNrVvfH2fsvc3vlm+vd/+3cjmgPLdTv/AAw8phxxyWFfQ3yuHHnJ4N3r5UTn6p8eWk086tZx++pnlmGOP64bGR3dD0J/WBWu7mdCxnf7xx/+sHHfc8XXx25kIenY+UbvXSYWwSM1+aw/ZfvqLX/yyTkW49sN2uUMP/V7X8zy8E4Y/rENe7uyusl3V+YwzTv9NOf20s8qJvzq1HHds58/PftX9/005/zzXN7u87eL6/e25v+/sn11OPeWMcuYZnbszflNOOeX06v6HP/xJNwJ5dh1V3K8Trs/fcquud35UnU4DDHjZZR9RhcV5551f9cB6ixGca0xsJ9Yo9N71km1ltEsF1CmkIhuaOwlvkXN+IA1EvUDiYLrLlmtM0wjDgTHbUemZAjDCYZdb39TP1NX8HyJhjAI3rRl1mP0oOMi25JJLlh133LGu493tbnerO37S9hK3MJqELR+NmPReLXi3SNzZl3bTtaZl5Yf/5v8XNAnbSIfa1/+YiZ//o+z4tur41bqJPwuShCsvEzf1ydZmZ0N0VHVMrJHZ+myk0Ar51CvTV4sttli9gNRxAGD22c9+rmy00cb1DFagw/HFL36pqyv9BpLc8ACEhfMrNnBA6knCmU2MOGchUAKBYJgbje5xtdBg9So1EHP7YJ7/7W9/Z2U6toQ5q2C3kXuS9tvv29WOBWXzdMiirK2frtz4j/+4a5eRX652FkD+3C7RrzG8ogpnTH+vvb5Y10NaYPp6qYbf7VqDRWO9LYIBAwaN5H73u1+dj9WwIRUY4zNq1KOeX8JibjAvbkShM7EwgQA28jFtatrMPLezCBgQYDLyzFSTjQMYFMhLIwvlofM1xm0HnQEbD4x+1GkzITp6yjZQhki5BTYwGHVY4CdsQP204K1OWJ9R3oQNQWTnqA6PdR+IMLCbzCzK1772tfp/so7JbGASYZERxXRoNMdORpGi5lqNIjAk0ta5AXP2Bx7Yn76UD3vs8Yk6HbPHHnt2jabf988Pc+c5Lfye97yvk84PrT13iH5GIWOMhnxMeegp6ZWYP7Vd05ZlvRNQIaNWCR20etjDHjZnrYEfLoAzUnQWgODAvKxbmMd1X08/VTnRUEw9mm83ssha02whDcp0mN0q7Y6RhQGEgQNsGAGBoDdqgdtIiEC2IE+IbLfddnWRXlmBr/SY/pjOFuQx5i/UZe1C/TJSNa1psVonqZ0tYU+7idCHfNmzCcRGBeXsv3LXLrRFnQbtTZ2gNs3UnkTnt7akk6bTkM1CiVfCmU3MurCQeeZSzR//5jdndRL0hLqYa57OlA6YXrH4fP/7P7CTplvUswsRALaUUttiZiH4cY/bYE4B0c836jFuDpUoFQoIa5sO2p6rMmInw+fYdZLYYppzC0CweIfgv//7v2tjsU3WUNy8M0ER//gRf+jpTekwzHZPP41az80ZBuslC6IRzQSmTS3cip/epsZvrt6OMQvfttEaRRAm0gKu9bab0OV7hPEYCxbqUASBKSJT6La/hsfFTHmlDqbe+R+1zTxGFzpNOgA6NTpfdj05Ca+dWcuyvsE/0F5TD7Q/dcdGhkxxJW4JYzYxa8KizTAL2ZiM6Yizzjq7Xl9hDt9cuISakzvmmOPLAQcc1GXod+v1GNYoCADTULzhxsjj/e//UPWTXjKrz7DJpWtrr6U7CuRxSCXzDVLJMSG71ORLKqdRoQNjerUaiYU56xPWIOyDd/ZFT9hUY6akCJwIHTC8tgPIXOts5zn/28bV1sGFBdYtPPLj8CKYtrOmZd3NYSu7pDAScU86CG1Tf7kHaYwFC+1FnfZt61P0sk7FLHoBdcpRx8nak52bGRlMhviF+G16apdddqmdhpzTYMZeG95sYtp3Q80UyaQkxsL1k560SV24DYwWjByGMKLo3WFc/+oy9szyxCc+qRt1bN71Gv/c6XPbZ5C1jD5jSfW5MwZ2Q3cEJK3KIJTKS60iquxhTvRSCZE95nq8mH16O6Pyjl4ET0gFN11la3R75mG2kHDTyKilZ2GD3qTRhGdJR+UlJC16maYujDby4txkbsaYHcjvUNpP6lbqGvI/ZRP7Qf4bTZpi8r64jkLrNv75KmdqbqiN3E336pwlbN/YacOaLdxJYAlcgNSTIQka2hn1P/bCYCziffKTn6rrDr/73R+6sHpG3zJ5X4vZ7nDvw+oP7dn95LzE6aefUe25K6Vf9BZGH+f+XYWJKZfEFdp00Uua7whoK1HyI2jzCPK/z8+JLXm2vJoCMXUS+/JwWFG5iR9GGnrLKrgdXUA/9lMGbfxuLRI+P9vvgoZwkzbpTMOPni/h6zr8dkNA4socjORcOodyQC9pjDr+jTF7kMeozXfl2aq1FV/24iblA9RpT0bpRpjtDj1EHXfxT0eOfg45wrAuJS6zjTulIgvMVlgwt0yC5bZV86f9jaoi2Us9Wyjda2Sa4c9//lNd7PRqVZ4QZdecsUQnIUYSBIXdTz2j7xewCQdCg7mv/GVG384pW1edVO79MGVyXRe+zOwFC3fDjBNH/213MydobthrWoZwCypzF0W0+UiNwCjBWkDyVrmyNxl0DtQNw+2UReoaNX/47Xt7Kwvpkz+hpD95G9hxloOu8iX5kzySh6b4sh2ZXmiYpymnMeY/1E95nDobPfmfMk0dTln4H4pbyBfYY6YMW/vxs6Ug4cdtwo7+bOJOAhFZX4ftCIett35xPW28665vrgfB3ML6ox+ld9hHykV5Dovd+973KYcccnCVfBY8c2hIAsyB8xtpNCBNGP6EWmb1gmOIzosuQ3rh0aIXEv1dTaasuI2wAeElE/XgHKqxk8R2SotMCyJjF1WkEqYiImpIvrbTVpPlZasfN6lnaRT0fW8PkK5RaSYMpDFMIe0g6WaPGX167Pii+Jc8yzd+xR21sMaYHSTPUeosokZtuQcpo7iNHfbpxy1iJ2Ub4iZqZex/EL9iPir82UA9wY3AiOJ5z9uybmv9/e//UO8z8ta0E4qutzCaAMze7an0V1ll1Tnb+VRYAoJ/EpCKTE3PexGOsHsBrr+htTrrzG7shmRXdaOM/hoQaNNPEBhh/Pa355c8NhQBwW2XXxV6vuZ10/D0yJy0dFrUSMkCkwNLw8wfYwLKKsxnssoa/ZTtKLCPmPumUaQBRZ96UYe0hEBa5VnSjKRV2pP+IeQ3++xxG798o9+64w9934Q1xuwg5TekNs9Nl9tG7rClb9t+Un4o5RqzmKO2/oTiJvZac4hZ3M4mqrAQGNhtscwyy9a1BXAT6ZOf/LQqFFw3cfTR/SnD8877Xb3agr6j+vb/2tHx3ve+p44wHFJxIaArGMyz7bnnJ+p2Tbtn7GhyKtjlWDvvvEvZf/8Dq5DaffePd6OAz5Wzzz63uN/dOoWDe04yelaUXS/LOchnC26moUTdjajegrCN0xZdu67MC7riwYnZBzzgAXVRUcZLq8aVNI9xc7SVTn7Jq8BUlGkleYtJTdablbfcqlvssa+HHcQ86kW9LORZCJLu/JdvmEnSbNOAqVHtREfL3DU3qZdpk4gfUdO3Uypbx4WROo3GmD0oh5RLC9PaTtWbVXEHHp7oSo9sE4+7UVB2KPUE2EVDd2241K3b0GyjXvcBvi5eM2Xjaglwa+mznvmcstqqa5aHPnSp8oaddi03dKOKj39sz/KYxzyuPOyhS3b21ypXXX1V+cIX9ir3vOe96pUcjrbb4vWQhzy0PG/LLct2223fCZFT6lTWIx6xfD1n4T0EV3x44MPax1ve8tby3OduWa/Z8M2Zi3e/+73lVa96db1jCSmM171uxy6jJjLyk5/8dD397WSlbZ0EhukmBekul/bka5jcsNDHmECYmTlzFRZTUzccKHOP1+tf//p6p5H95pOBu+SxdSMHmAhsh5pAOcTOgqjoswVxl4ZQ0kJt8VqajWqNuAmN3Xf/aD2165Cqqx8c0LPWp8PVNvr42+YjOHOhnjsoyU4Ehu8Ysw95ja84L+MGYecm/v3fXcZ5p0ruwVO2TnQrnzB8nSWzHjYqmOHI6FHZ6iwQLtqGcqRn/VhY6pCdhGZEzJQ4qKezwG0vLPq65v9s407pOQp41113KRtu+Phy2qk9E3Bl9tZbb1s+99kvlNe85vVlxRVXrvcseclt7733LZ4VXXKJpctV/7im/OqEkztBsGL59Kc/W926U8kFfPe/34PKwQcdWvXOPef8KiiMKjzy4dbWVVddrU4fOb7uJajf//6CjuF/tGtET6hPm7rO24tsLvBzcM8trM5a2BElg4wq6D31qU+vU1ngojZnAxSYw04Ehp08gQJE3CeTW/WigsS5r1yjhV/sjEobvSHDNlXoFszXvOa1teJ6sGm11Vav05NGaj/72c/ra17eucgTs0OMCKoewHRzLsaYOpcymJ9IXvDXty3n6CGI3mTq0NA+CmIeiplwXUvz+MdvVOseYWFHn/u2PJurw3LKKafVG4utD+b+n4TVQn5lPc7mEHv1HXS0+J3whTcvGKZnbmjT2sY18WgRvaF+kLAnCz9u434qu6MQt6279n/0omaGD6IWRsZuAyCg3X6gQ+1gagSEa1tcpGl0oY3Y6WSaPOu7ytaLd29601uK9yhM83vYzHS+NdcvfOGLxdv8u+/+scrPuBMfdcZBvSc/+Snl8MOPqPYe+9j1arlDv/tT2Sfe+Jr0SVO1UvW1Y/6pIyj/Z4o6DQU8cH+TyJj2AW8ouFn029/+bpcJP55z46pnRlVaDPpBD1i8XPrXK8qpp5xZr7z+1Cf7G2FPOvG0ss6j1y/3vMd9ywc/8JFy3bXXl3M6YfGkJz2luJNdY3npS19WHvnIR9ezE64AcZW3dYmPfGT3stFGT+iEVf/Wg3UTz3q6wteTnhqZtyoUrq94EBgRFq6XUHCG+ISFA03ZdqbhSXMqTTJPps5LBt6WEF8kLWgUYmeYttZd0k6twppilMd2mrky3Wl7p+wDa0tGgFlDOu200+srXgSLToAyOf30X1c7Rx31k25kcVmtyO9857vqKC+VXd6PitutQdIUf0PSKLyUd/RbxO3Qvf/Q6rWIndgD75QYGesYgStq8jphezWNN05O7Tpn8o1A9Xyvx3C8bSAfHV51FY7HppQJ2HGIYdndJz0wjNN0MSo9k6FNZ9Rxm/8thvZDwSi9FnEbf6ey2yL2uAuzlE/+t1/EHjuoBTd2eGL+Xi1Ub13k6M0dAsLNr87KuJrF9L2HmowOQRQTTdPlb37zW+szA2ZWvLDpqWR8tT8CcEPX+X5dnWXpX8Ts3QXf/e7+td4cdNDBlQ97DCnXHbXgLvkE2UQE9GM2Kq3TRZ2GkmEyxwnBtdZau96KCha5MWIVlXDQM7Izyi2pGMVKK61cHviAxcofL/pL+dnxvyiLL/bw8v737VYf3nn9695YtnrhtuUZm21eVl/tkeW73zm4nPnrs+rIwm4rr7DtuOMb6rXdLgh8+ctfWdZbb/2aYV6GWn31NYt3EzxkZJ3C9JXFcesYn/jEp7oETxS2+LkO3BXmDjoZ3lOb33V9gosMXW8hrdLpK8PyNcQjvFLJFhUkvtKBRiF2hunyv20sYIS39tqPrL0csDPuXve6Tyd8Tfv1/rvfixBQTsrQTbnPetbm9Q0OAt3a0SGHfK8T0s+pet75yEHM733vsNoDc99/4pxymB+QltavpLtNq2+EBbXOg7Jv60PU7ARDNfPYaSlwM/Eaa6zV9Qy/Wv8bcctLtwoDq0bNbkE+/PDvV4Fr+tXoeeONN6ntgcAw6njmMzcvO++8a81rcTZdYXefDlH26s8rhvEehVF2/E8etP9jN/ajFm80jGtrtwW96dodIvZC/En4yjbxGPqvXuhg4hV4odsL8I4ICC95es/ChZnqsOs3Mq0K8bNNp3qw9tqPquuxRgI6xsrZ9f9HHvnD2jHH7773ve9XXudiVW5ci2Rk4dZq67zK3vIAweH2a/jVr06s+gcffGjt2Htwze21rkuyIYhwcmO1kZGpZevKEWjzgrp1NploJX/llVepi8uYsXMW66zz2PKWt7yt9nJE5GMf26NWcpFkd6mlHlEOPODQ8s19vl0e/aj1yqtf9frymU/vVZ75jOeU/b97UPneoUeUVVZeo7x0h1d2GXF2laymIzCcww77ftlgg41qGEYGGohM9fCPhmYY30WvMi1TXl6TwnysfyTevkYfpPf6629Q7yAyv47x6RmYknKPkWcsk1EpUG5VEEJFwfiPFhUkvqmkoxA7o9KVPIjb4447rj5opBwAc//3f79zV/5vr//B6M7b4oS3EaJeDkZIiHvjgmAxzWITg46GjoANCWC+3T1ShDkBDZPFe16QtOSrbFtBQG3eOCeh/TdViUGIT9rBZMIi/31jN/aG5q6e1rBdlw8Oo+pR6h0Gplx1kKzF6aC57kb7Mu3qYayf/vSY2gPFWOw+/NWv+tGx+W/nhmwiUXdvDdp4TxfsS788lAfxo837+Jn/7HFDPR3ETevPVEg4wgjRE8eoo9/GwX/1wT1NLta0huTyzFZAGFW4Xda1K9Zjs7bQQlyTRrwTCdP66mMes2430p5Y33PsQPk+9rGPqx0snWCvcNrY8+IXb1f5rc6W/54x8L7Nt7/9nerOUQZTweKx005vrHbsVPVQmTr05je/pfJISwjbbrtdbWvWQ9wA4Enq3N82L5gjLABzfdGLtq4J0av53e9+X2+GxawNpxyMM+0goyxukoDeb/797y4sF134p/KrE07qGPmp5azfnFvXMP721/5pUXaOPeb48o8r3S/0xzoysS3XtJG3IPRESVQPfphmIjE91+nRcuXaRbGam+rQmwXbeBV6hlu24mJcpKdFJGkiHCwOmUO0OJTKJ/6pMOxldw8ztKgg8ZWWtgG0iJ1R6eJG+uPWQuz97nf/OcLCVBKGZ6SROXVblQmHu971v8p73/v+WpYqt1f9rGm94Q07d6PO8+rGBI8+mYpRycFQnbAg0MPkUvfmF5JW/hIGFgOVrzT6r45baE7aLeITGOks0EuexC+U/wlDfUHstvYQu6aO7CDMwzXmqP/t3/6jvO1t76j/wfO0plhN7R533M/Ku971nvrgjdcYMREja3XeVKCO0gc+8KGuTvfP+rr5FCUfhTsvSJynAvPkSf5rS0ZlqNUfEjNuw0iTX3MD+8qNfZibG+Eoj359Z6Js2jIK/McPXKXywQ9+sNZHD0v927/9WxUQ//M//1MFhFtiXcvhmVdMdhiH8BNhJ5192P1I3UhB29Fpah8QQ/vs8836sJm1v8ygWMPVhtJZNt2PP5rNMR1ltGEGBZ/TUTPadN7MZiGjVjMsOiP8tGxgVOoJAiOlbbfdtt7nlrjOC+o0VDJT4r0za9pnxx3fWKeeoF9AMWTXk9JQFPxEgPIQE/EVD19gBzNPJucLWZwZorFS0U839X6HZFCuMOcnvyLJgX4qZ4usVyjQCbd95oUWJYh/m4ZRiB3Ugn168kNegcZz//s/oD7xCE7XY15e8fvMZz47pxFYaLvb3f639pYt2m244Ub1sXkLd9adCHsVW4/JmpRKD0YYHpu3ppTySdi3FsN88J/fGVnEPI/qpM6nPkSdfGkp/lLHb27id+uGGjRaoy8jK7Al3CgCMzjooEOqENMZshvw0Y9et3zzm9+qI4zXvvb1VQi7Xdkb6K7sN82g96gTd/bZ51SB4SprF9IZZbThzhSJ91SQLxh3BEPcJA/iPvqIvZRv8sh/FPtTgd+m2FI23CfsUYgdYbXl2EK52xVpS79dfW5wNXIgICxYuy5cvroBVltQVwL+QZsGX6AOJWw8Scfa2ivBbxQJ9MFIg5mOGUFhXW+rrV5UnvjETetxAtOVZlCMLo0m9tvvu7XTRVh4n5xgMdoEwobg0RZ18B//+I1rWxSuNG6yySb1pdJceZ60zBT1IsE2sd2vnHbaGbWyG8qEqfeCAvO3YNQ3cHZ7Rt7bEQd6GDch0TNxlUTBtQKlL1hqbicEQm8/aYm/KP5N+KmyctebI36mMKNORYWYoT6tE5UwNBlG2fd/OojbyewPzaYbRtyFWndBa97C/+STPAKjsHXWWbcy/+gZXbga3tbkPff8ZJ031dM1j/qlL32lTknp+aicpkswRBXZtKGvKRVCA4444sg65+tSNEj4k2GyuI8CO8P0R92atb3hob8Ja0hDP6gxyTCzYX2CU089vTJ8DbjvMPU7wp72tKfXxc7Xv36nuhNKD9LanSkEjdtCp/wmROgT3N5tN0KT1567NVJ2i7OphdTnhDtdtGlS1m3cIf+RNBp5+cYdxDz/fUPiFAHT5k9obki48d83giDpjX7rP3UL8XY2yINY1hoIhOxk8uqmp1BttVcnTe0YZQ79gITXEj2IWnxvuIFwky99p1rnSZkabQNeBzoPytkowuYGMzDqw1prPbLufLLegAeb2TG633//A6rgMCWlHu2224frdL7pdjMznm02VSVMHQ6dOXXP3Wz3upcjDV+q+dfm10wx8tZZjNg0j15Lz4j7UQX/ZQI1hu1/r05l6xl/H6FUtH4Uwm6vFwHA3oR/wmN3wn3vX9BXFBWGAHCnVL+dkJ5X9eiBeKigfcH1lSsZkwJlPhHnPp5oOhnITmi6mJsb+uKJgpnEKWC/z9ebN/rJ0OYByBuVUO/FlfCBqSaHJq1lffrTn6u7dcyVmjLU2zF9YhfV5z+/Vx0S21Ztamqnnd5Qz730j71cVedvbWN2cBPEVZiTQdxC00HSkvRE3eq3epOBeVt34gbiTtvQUxX/+BcCU0xve9s7623Jp57a72ICNyhbCzJqsFFDQz/nnHPrKM5i51FH/agKVRsIuDPlYNQmX88997yOqVxRz1k4q2HKFYZ1ZzpImsSX29SFFsxj1uYHivvJwL48IlRnGrcgYSBhtvGg17bjFsrFmxEEgKmkxzzmMfX5UwLiP/7jP+rhOQ8Mvec976kbYixUi+dMkbiBuFj3IpzwLdqiZWpIB+qEE06s9vApd9sRBNqZkbcpd+mwZqXTZQ3XmoUnn41CrQXuvfc+dau6qU07R9UZ6xRbbPG8uq5l/cJ6Ini6meAhXLyPYd3W/X4gnMR5priFsJBADNkaBSac6Z4w6Qlm31OYMjsKze2vPfUVuC/YvjB7Zt+764VC7ydGQrIKMwKDsPjrXy+tq/kuH+RH4iazxY3d2LdLpz/Z3c9zilfmqgP6KkV6SW2lT/znBnZC08Xc3NBPXql04t3m6XTBfp/fE2meyn0aGjfUYMvni1+8bV2DsJGBc3ks/3375277MuzLQU99osHGjH1mvdt/1V0/elhf/OIXb5b3CXcU2AlNB/ETQdTxI/+jNxlSDoknogdxpw5ZO2jLCbX+Y+7mlTGG3qw67dT91kb1NpBnQ7AHMdMW9TRNldiwIY4pu8RvumBfGto6IN4tkpaYtWkcZb8Ff7U1eTiVvcmQcBImEiZ/k15+A7U247lgIwgL1UYQWaQmIDz7a2ekw6QOmVqr4meL5MV0kfiBuKgP0tzr92kwlWQHqOMANgmBrec6Y85eECambdOerF05x6S96BgYgVjvsivK1mm7DX/1q5M6+zfW0aj7+4z4rQXzQ7j8sTvKdOVll/29dtayaw7NNJ3BLYSFjM+aQCp0pGWYQNT9VFBfGRC3IuEL1H3GtYXNjoxOWBayrumoz2T+phEZitkxoBcG9C2Ky4xkTGDXwDbbbNv1bj9XexZ9WDdnuIkDir5vKPZGgXn8DM3NTcBOaBTiD/8tvjrEZZE+jWG6SBx9g6nix15IWNyCMxWmSXLeRhkpa3kOygH1gkL591ODSWPKMPZVer0h20j1vthp6w0ahfiHpgP2Wv+ibv0JTQX50AoLyDd+otSBgB3/ue0FKOF7Qd2U0U+j9u6ZgXwjTOVTr+7t9EFNmAXyG5PxRrM6njhMJ01DYB7qGn/aNI7yZ6gn3GE9G4Ib5miUn3NDwgBf6RyCvp0+Tsk7C+G6HwfkslB9t7vdrW6osAvITk+9a+lu0cYxeTkTcJN6ID59XPuv8qO2q9N22SOP/EGn34elLBG+1/NZ7vu24/wF96LCfToFOmpmYPq2h1/eWIVeDiizo24Jl1t+0Us88fEIs3nBLYQFj9LDFxlS7BOf+GRdjAMJSiLyAFEyPJnd+9H3WoLYCfpM6BlNGoWE9icYe3uHHnpYnQ83d8uuhR9Mh1vgjqDhhwWit7/9HfX4fc5UIJnVhtsicQ1NVVHiVyoHmpubgJ3QKMQfX8f7PZBi7rTNv+kgcfQNJgsz4cV+/stLeW2O9a9//VuXxz3DVKHZ7RsAd3159YJ7ooGk0mdkyj9fu9XYBfb42dufvIHSD00H7PVpuHm9nKk/3IhX4tm6bf0forfX5ykm0OdJLziZ+SL5wA9mvPWVT/nKV2p5Lu/6jluf731naWJhPUI+8ZsuMCCCAvNs0zYdf9gR5lT5MD/A/2GcbAxwz5zbrW2R9zDUYostNufKjaxBOGBsodpicLbMA79CqX9tOc8U8l9ecpv4KmMMvI97f4L7W9/ar04LpU5MlL3y7ttOX/59nvbx69tS6o160Nvplwn6Tkmvx35vpxdQ2l/Sxh51pgWp5yWttxAWiZQImXc1F2alfccdd6rbvTBrz6EiavN9ppOcKvV+gcw74ogj6ulSD5J7UjW9SX6iiy68uBtG71Pe974Plu/uf1C55JJLy5lnnl2+8PkvlTe/+e1ln733LVdfdW057tiflZVXXq28970fqNtz7RpZY42161Uiv+nsf+qTnym77PLmsl8d5vcnzj3hqSeRXSLi0xZAKP9TwH3BTp6BsdMXak9zcxMkzKnstv5FPV3/g8TPN5jMfeLDvsoT0MOYQCVkxj9f9UL9YMcXpTeUiq18qfnRChZmkDATzzbsIRJHNB2wx8+kP+qZ+AFDf/K/1Y96CHrqHIHQ508vYNmXD715r8fM9IEOknzqrFQ37PR2++kqdvnnmzDacvGdV/Rh3VIothilz91k4dIf5U8wNGv/j/KTuZ08OoGu23Dv3AMf+MA5Iwj3MVmXsD3UpX5nn312bf9D8Edak2ctJQ9mitYP/sb/8FBf5YbC2Ht73PR1Igy+548p+95MuYtX77/61Jtxo571aZqwz466lLrX6/G/jxthQXgAtyH+zw0jRxYCBltn7eW++93vUZ/W3Hrrret135/73OeKe1KWX375eqmc8xG2ollQIsldpKXgLMJZ0FSAIgvXXnND+eJeXyuP33CT8vwtty677vLWTsic1AmWT5aXbP+Kstlmm3dhrFl+/rNfVVp55TXKh3f7WPntub8vyyy9Qllh+VXK8cf9orxhpzeVJ23y1PLqV+3YxWHncvll/U2cehTercitj3OrBG2GTQcztT9djPJzpmHEj8nc0e8r49QCZehP1MMK1dqB/v/wO+FHEP3WfH6h9XN++t/6E39H+U1P++nNb9LsQG3U0TIFPV6vCeaOJ1A2EP+j7zvMf/+HevOChDG/kHiNImHhBdSph9Fv4b/Dcq7b8CSza3sWX3zxOVtd7WRaaaWV6nUb+I4t/3kkKmj9jNp3Mro1aP1p0xNGHZ5Ku7UL6gTGP2G3Fxj9/55/xU8k35J3MYv9+NPbm8jjCb0Jt73/fXgZfUyFWwgLiMekkB0Da6yxRl0UMj1iXnDnnXcu55xzThUWhIFDK89+9rPr0JCZN5fNudutsfTSS9dLz3Jm47pr/1mZ/1prPrp84P0fLj/9yfHlTxf/tXzv0CPLJ/f8XHnRVtuW+/7fg+qJ8J/+5Lh6GeE73/G+cuUVV5eNHr9J2X67l9XEvXSHV1WzD31w93L4946sB/7gox/9aJ2Kyv1D0jFG34BVkr7X2w9Fx1iwSAMFZWFR1r5/C5AB/bnVWeb8Wlghbkg8W5K2fupk4ir2IQhQMxQu0LOLx86lu971rlVAIAJDZ9DsAUHCfnrKQfL5tsyjlKNv4uL/KMQOymgh+RMzX3qtftRxG738R/7zL+atO2Gh1p+pMKmwQJjKbrvtVu9IcVUDEB4bbbRR7RFhyuYLHfhwXa/TsR4bIhysWTj1SLhwf+65/ZrHDdf/q/yyG0ls8+KXlHUe87huZPGWcvZZv63XgrhP6jlbPL88/OFLl69/bZ9y7DE/qzfZvv1t7y5X/+O6biTxlPK61+5U/fnpT46t904tv9zK5b3v+UB9ewPstrGo5eqKMSYYSyrDWFjcdkg5KBPlQD1spOygyRgL/biD1s+FBeKCErdQ+EriDtQWaZ1xsFDtWg2dU1td7WKySK3DiY/gM9/85jfrrEGmmSH+tmG2ebqgIR7CDyMOJb4tEmffoTr/2/yKedKcdMcMWnNuUfzKCCJ+0mvtToVbCIs2ghLrtKPCM1/ITKEa/rnJ1X5vawQu2zr22GOruWkpzNpBGALGiV2HYYw0wHXmv/j5CeXww47segdvLyuusGrZ4SWvKM9+1nPLDju8snz0I3uUJR6+TBUiBx30vfKwhy1VXvPqncplf/9HtfP0pz2rnHTiqVVYHPXDn5YtNn9eWe4RK3WjmxOq/xa91ltv4hrfZNQdFSlPRN3SGAsWaZjJ/zTSlEX0U1aTIfaAe+10YUPSEWrBzAYO521sdXUSfe211y7/+7//W0cPd7nLXcoyyyxTZytMMRlBmNXIIcgg+Zd81daTdy0taCTcjKCo23JuQS95hLhxHbrNJcySJp1vazHyodXvF/xPqvlplGUN2cnzPl8m6hW7vskz4fBLWNTpvEyFWwgLDuKI5/ZzEwbmBm21M3S2j9l9Ki7UsuOgFQYWtI0k3IjporN11123ePhGhMAuAQvbW275wrL99i+t71ZYpPZuxnrrbVBv2Fxl5dXK87fcqhuKfq0TNo8tW221TTdK+XvZ4+N71gVudp/znC27UcaO5XnPfX4nQJ5R9yPrMVsvQeLWZtIdFdIeGuO2hbqobaVxtg3UN3WVeqry0tiz2zB+LkyYLO7SqxPp4SDrnzqhThdHQLifycub3uuwYQa/GUJak1fSn7wa1c5H6S0ItHFCmHgr5IZgN/F0XmyXXXbt+O436v/gT3+6uLznPe+t1+60sEvV/VP0XQXj1LZjBGCDkrChjQ/glW7O1bl3ZxvzudWjkSOLJBaZT3XZ1uc///k5d6VYTHLlrYANCUkogQO3P/jBD+pw0vrFYYcdNmdvcx/Z0vUoTq7337iB1glWB8FOOeXU8o1vfLNenOawyc+6BLtuxOlGp1jtCvjzn/9aL9ZyQMUZgK9+7Rv1lk5qfrvPxT0oeiORoGiMCaRc0RgLFvJcPdVGQv7Tb9tc9CcDQWHbq2/89J0fSBxaavWjHoLeqDhjVmYYMH8zETqPzkJkDeK+971vFRCvetWr6rqonu5wJ1P8Tr4kvdHP/6hb89sCiQtYpP/e9753s3WpUfGykA12xzm86jBnv2gtLf2lhMccc1zHd0+o+vHCHVOOFxAw7qJyUhw/tcPuU5/+TA1bXdFBSf7hifi1tSG3F1vnVZcS58kwUlgkMVEnoJnACEQEWvA2Q6N+y+VNKb4VSPq88OZ6CbuhDNfEN8JiVOGMMcaiCHU5DBGljc6vOh6/Wr+pWwGW/9GLfuJAH9M3gnj1q19dt7U+5CEPqesP1iEICOue73jHO8p3v/vdOtrIlfVTIf4v7Ei+gZ2g1nYdJXDrq/TatUWAumrEa6A6v66y9yS1a3RcGPm4x21YbyjWoTZi+Mslnuj9Rj3hDe4Ic6Gn+9ce/ODF6glxhz+d9r7wwj/WM2oupnzGM55ZO+1vf/vb6w5WQkK4drSafXEdiHVmywtzw5TCIkhlWFgwFACUHmpSOSPB24o8TM8YYyyqSPscRfMDQ3+0nwgGnb/0QIdhapMOlB566KHlLW95S71aI1NM6O53v3u9AdV1G+zYTTkKCW9RhjQENgR5Yc/XeqoDg9ZT8ar111+/HHLIIeXtb3tXWWKJZbpR1/rl9a97Q9ns6c+qm3w23GDj8pDFH17etOtby3HH/rysteajqrkRxBe+8KXOzw+Ud7z9PeV//uce5dOf+lw55ODDy7LLLF/Xgw/Y/+CyxMOXqs+4ynMXeOpIWy6wRGBZwUwRoeVgo5mjudWhWwiLRQGprL4pmLaSGQnl/6Je8cYYY0GibVehjNC1pbajxsyOR1vnXRjpcj7rm85AEBBGEe5owpw8HOTkdTvFxD9z+W0Y1PyfG+NamJE8BIcIbfI566yz6lECjyuZ/nFli2MH++337fKGnXYtj37UY8sPj/xxOefs88rWL9q2vGyHV5bzz/tD2eWNbymrrrJG+d6h36+be16y/cvLCb88uWzx7C3LySedXm64/say0eOfVD62+57l1FNOrw/Q7bvPd+omoMett0H55jf3rbM8RnhuKiYUnIFzzAHsYHXX2Jvf/OY568qTYdaEhcxKwc8W+K/CpXAMsfLftzUfY4wxpoe0p8najXl4a5Hvfe976xXYj3jEI6pgICAsVGOOL3vZy+pcuHXErGdC2mamttM+hYdaO4syki5HD+zOtK5rO7/DhabdrM8QFt/59v5l113eVjZ54lPKny7uDxW+9jU71dEG5KXRffb+Vnnx1tuXl7/s1Z16v7L+4zYqvzmzH505m7bHxz9VjyBsvNGm5etf27ec+KtTywbrb1y+/JX+WV8bj4SnrCxqu9ocnIy32cCUIGE9FSYVFhLa0kwxr+5uiVv6MaxYTsb6DitheipjjDHG9DBZezGCwHD0TB26vf/97z9nigkZQXjC8zOf+UxljENmr30aRYQvpG1qr9kV5n/M0aKKNu6uPHLrhU0/bsV92tOeVkdZn/jEJ8rDl3h4+fBuHy0vf/mry2PX3bAbVfyuXH/djWWnHXeth44v+MOfym4f+lh58qablWOO/nkVCo4X/PhHx5Y1V39U2f2je1b91VdbuxMirylH/fDosswyK5ZPfepz5ZSTzyjrrrN+3R1lPUg+W7vwZKx1lJSzyxUtcrtocW6YJ2Exmf78B/9VOt+QRPbhCl+i+0rWz5tS+7ZmCytmmo8ztT9dzIuf7M9r3k4W3tDPMBJ6U8Uv/o2i1rz1J/9DrZ2h/rxgOsyvNWvtcMf9ZOajMDSPOulokXhpJ2Hqrf2AmX37GImRgimmXNiHHMh1FsJcvAXS4YYWSFgocRn1v/0mThC78xutv1GP0mvR2pmK2jR4V8NNF06d20EqHy14m45abPHFulHYOmXVVdcoq622Zjn6p8d37kv53Ge/UB7z6MeW5zzn+WXbbXco+37z23Vaab3Hrl/1Lr74r/Wg8mKLPbystupa5aEPWbK85tU71tHFfe59/05wEDQXldd0IxSPZ5kCA0cYCHpPYgeeUlaG0znEPE/TUMkMGTN74LeKa2iEZL7/GuHEToy+gMRp8kJfWDGM64JEG7Z8DE2GYRxb+8yUR0tTIeEG1BhXhH16mg4cmeOmjpthHFv9mEUds1HEnL/CSo+XXv4nHfRnivjjm3ShIdr45D8kXsM0+I9GoTXz5Ydv3LV+Jm3iRCAn3MD5BielnaeyMNqOIO55z3vWhVmL2NmWOUTiMV0IX3zadEYdmldM5ocwEs6o/zB0E8Ru7I+ipEf+yEujCQfnrFd85StfqXl38MEHl+985zv1/xe+sFfdxclPbg444MDykY98tB4bALumvvq1r5XDDvt+N/q4ofPrkvoo1te+tnfdUuu8hfd87Ibad9/9unZzdSdU/lRHDtYs7MDaZZddylvf+tY60hCOFxc9cfzKV76ybk6YG2YsLJIRyYzZQp/pKl0rLG5esLnltNebaEyh2Yzf/EKfztnOx1vSMI+il/9TYeg+6lZvbhR/0NCduuV/mGxrRh20bqNPr0XsRH/oBrMMw0Sp24lD3M0EYcKtP+bth34lzOi38aLX/m9pbmAn4SYOBIV48TdrewHmofdpW6cdM4SBba4REB4OMt/tGVcLs8PDcvyUXuG16ZkuEse4RUlrq4dmirgb+iW86MXe0E702/9A3bofRczkd4s2zyfDKOEdPwPnLDrvJ0V/PmMiLLdrODitXG2VTdw8tepqJuagjkyFRVJY9GZ9plx/XRePzhphETcyIwW5sKOP82zn4y1pmEfRy/9RaM2G6rgfMvfJqHWnLrUNK3qxN/QvoN8StObgf8zjvnUzG8IifoVBJ6whYi9hCJObjADo0zO6ypbVUf4MwV3stUIr4YDepikm0ySu27AGkSu/kbMQFqpf97rX1UVq9odIOPEfphvHFm38QqP00EwRd4ln8peaXvyMnfYL1KGAem71vDUD9lPX4l+bxvgZ+9GPOv97NffUE3Fi1TXobshwrb3/sa8jYLOBK5typ5YvfaOZtv5PhWkLi3iUCCSz5gf4Ocxc6BeuJbylPpNYc7rx2mu7DO7qqai0biH+LiwYpm9uiP2kIzRTP1q3Q2or6FRgR7nrlapoTuUjJ3QzVcS/vjL36iHFLOFFL+Z2aFgcTd1C7IZaMGMPxU/U1sv4AfTDJIBdZtLT9vrjJv7NC7hLuoLotUgYsZf4YMziCr4u2tP7H7qfF9j9YvrDiWk7Y4waIiBc/7366quX7bffvo4ybKtUtkHyxbfN8+jFfKaIWwT8JhzDxKA1nyn4wU/+ydvkL72hn/6nTrX/fekh/2Mn6W8pdqiFEwER/dYdM3ZiDupA0h77qJ9+799D8e31fOX/jV171C6v7tx6Ulr+9W5Tl2If8V840RcOvakwT8KCx0ig8wP8TEISDtxSWPTm/+wypgqKa7o4dBnlJtuLL76kY1xXzsn43n3vb+vnbYnEY7rxYS+FK7+HjG06aP1A+e/LTw0nFXNuYJ9wMPdqKsIBSDs8HLCyviCv2wo5pFTKhEXPf+EjB4QsAhJC/qfsQjB0i2KPXtxBwhva9R+4kZ8YU+t/aF4R9xitLaaG++aMh37mf8u4wlySJnGWt/KkjfsoDP0Hbj3T60GyD33oQ3W00F63QU1A2Gu/xx571DIIEwnERzwgeeobYr9Nw6h4TAX2UdKWNLflwoz/M0X85VYck79tfFv4H7P8p+aPr7gl/Yn3kFJ+IXr88YXWj4SXMFHMUPR7v8VFh2JiShEfpMcfwsLJbnyQwOgfXrp5ufif8kw49JSh/1NhpLAYJi7/hwEKKOat3ZaGoBe/WvfpSYgwM2H0diQomddnDOFgkeeqf3SZdn3X4K+5vpx/3gX1Eabrr+/jlTBQ0IaduPlGDe3/uI0ef6MeEsTf/B+C+6RxlJ2hW+oUKpInyZchhu7y3zfx4kcqhf/80mPF1No8GQXm3LKrISNu7bm3rZJfwI+E2ZfZRFmwI/0Jp7XDb/7xN3WrjU/rL/hyg2I3/uR/8ozduI8f+abeQWsnxC/Ebutv62fcMm/LxwlZ8/x68O5GgtYNyE/CV7yB28Q74YljGGfikjJECS/glnByW6vdN674zqNByFmIFVdcsS5gu/rBaCP3t7UQBgra8BOHYZqH/2OX26nQpoO/OiU6MsmD6fozRNy17lHiTg+iT0+ZpE34nzrrP3dJX9yMIuAublv9fBN+4kLfN/qxF/Tm9KmTtvilfd1QLrvsinrdB6HRPq2aOCNq+m3Y1L5TYaSw4Ejl5REkETykph/zNoHUiVBrP4h+ax+DcPzfIRUVNv4bemsg7Elc/zQhNerC6dJ17TWERudnF83LL7uqo/52xzZ8FLThJ16tHXpDij47Ct43/1sSZ+bJk1FgphLGnyHaMEE85UEYYMJqCzuI26lIuMLnHvgp/zXK2OGn7xD0w1iTh4hfvq0bdumJY8x8hcOPxHsYprjZCZI85CbuEcQtffb5GfdDSviTgXlbz/kTih/MxVk6/WfGfr6h5AN1G2+PG7koz/bShBH3SD039ZYy4I5fKHYTx6HbIZSl8EwxuY/JLa4REP/5n/9ZllpqqXpbtDdfjAjnJiCEIe35P0TyA1EjdvmrbGKevJgKsQvxQ9jcQvyfmz9D8FOdTfnxL+VJnTDjN7vttJ+4pM4mLfSo4waNAr9Qwpht4I2XXnpZvYDVbinTUCB+bdxR4p10TQe3EBY8kJGTNWwQaCrwqAxPpHxR9BMxFL9cAWBo7DKrCy+8sOpxo7IJg+Ts35Tt6Z83dP9vEhYOsNzQ8b3rrr2x60ldXjPqum5kMQyjxVCvtZc4CjdMKOnzTX7EXksqBXPpngzsJV/aMEepQTnIB/4mHgkLDf1hFj9C9GLOv5QbcN8O9xG9Niygz408EW702POfmf8Bd/EnfgkbA0D0oA3TN/keN6HYayn+9XWk919chvangnASfxi6ZS4+qQsocaWWb8IfhuM/Py0MWzy2LmB/u/gCtyDOmJK1msQjZeQbf5Bw0RBGJc44fPzjH687XgiECAgL1g5huebBITBtzUiwjW/8pYeok07hZuQ4FeKWfXE3oiL0E9/kXRvuEMySL/yR5ylbSBhT+TEK4iDf+Qf8bjui8R+omUkzN8JiHyV+yZdW7dvGLerJ6mRL8xP44xVX/KMKCiMLwqNHH1Yb36rb6Ylb4jc3jBQWPJSZMrhNbGve6vsmw4C5jKIXSqSo0xBAg3rAAx5QD6pYmYf4zy50zqpwCF13bccwOyIsjCoIj8svu7pjfBN78oUVjPofou8L3ApXhbHvOOnIN4yudduGR936N0TctWj1hubCHcWQ6KOh/bn9j7s2zspY2sD/IcU9d0PBQk9+JS5BzFtK/hF+wo89YSQ+vvxK2Nwgaoh+7KaOsIPpKjd68dd3MrRhx+6QmMkflHzzDXEXYJAuiDNKoG8Pu51E1gm88OYUr14/xC3/lK08yX9m9JKviVvADmZmZOBlOZ0sU0p5etS1Gx4OcmGddyGsVXhGgDsE/GzLDbVhIXnKjnToxLVxaEGfu8Q/5SzP6LV2pvIjX8SfYfymcj8VuOEPAn6nI0qdOIL/2n2mBROXhJ140IuZ9Cbv4lfs0mee/6HYpZ5f4JXgr77adK41ron8hzbcxD9ljFq7k2HSNQsJjUfJjJjRk5nRSyQCahFqiR63KHqgt7PkkkvW0UVOFgovc9fA6wiKG29SG01ccfm15bK/X12/V16h0U2MhPJNmAkfhD2qEIWLGWI85kzbeEefXuwzSzqCmE0HsRv7Q7f8F6eECb5tWoKh+dDOUD//5UP8H5qFwFeeKJfUh1Q2/7kJ4gf9xN9XnWnrTezF7VAtPAIgZcXdKLv8HiWIEvYoxH1L0U84vqnrbRxauObZydiXv/zlderHDZ6uxaCnp4/5eFzG/UCeHuYe8S/hDNPXlneA+TrQ5a4h/q666qrl3ve+dxUQBMWDHvSgepWELZIEBCYv71p/kh9IWNKlXidOLbGLxN8oYRgfSFzjn/++iX/rZvi/RfRjJ+HzJ/rx/9ag9b+Nd8yolXfyhF7S0tqJHnXiSY1iD+gzB3qh2I29+QFeoaxdGFW0/rfhh9S7YZucCiNHFqFhoqLXVjJ6MgU0Vo1HJCDu0RBx4zGPJZZYsj6r6IItYKbxC0PQ9e2LG0Jdpb/+X+Waq2/oBMU15ZK/XF4uvOAv5Q+//9NNQ6+JueOkI3FMfMVf44sZMONWmCpM4sycWto0vtZffiYdsZcwJkNrL3Zjv1VD7EZP2OIWBs2sBXv0pY+dxG0UEn6bL/Ev/oSSzvTe5VFb0dhJHIE/9NiTz+ywT68NI+rJoA4Ik1v227hC1PELJYzoxe4QzFrEXvwLkvb4rx64GsHV0nqgTuI65UxQeLPAlI8bPD0X6qEfu7tgm222qS/DuaEV2vjxvw0zEBb33rt30tbax3//93/PmWZy9bWrwI1e7Lqy1VX6A/4m7/I/9SL5FHXiQe2LuG3bwhDchIL2/2T6Q8T/2EHJm+i3/2eC+DcZxU6bJ/77Rh17ELOoh+bQ6g/tLixo4zcqnaMwqbAYovVYpqpIbQaDHpVrAAyTgZtU1t4t5sXuRCb+6lcnl4c/dKl6F8qZZ/Z3mLAfhkcd9ySmFX7zcldcbv77mq6ne3XX+7m0XPzHP3c9IDsAJp6bROIYP0JpDPmfMFv7QezwMw0nelG39kKTYWgv1JoFQ/PED7XxCKjltzwIE58McYva/IgZ/4fEzzB/eUGt9+9/7MRtGA1KXaEfJOypwL40xF78z/+hmvkwnOiJQ/TjLmlu67Cv9EhXQI89z1R+9KMfK89+9hbdSOFx5b3vfV991fFJT9q0vPCFW1Vzj9Bsvvlz6hXQ7gOyoLz//vuXZz7zmZW5u8St9VMc2nJSdqayjEy22267KmBcsUE42MVk/YPQIDychbCTSR4PMUxjqxf96CUurdqXHd+ZIP6EguH/FtFv7bR2W/2ZIm5bP1o15H/S3uoNMZl+i9hp7bbqhQFtOYdSJ4aI3ZHTUKMw9DgkAL0fldu99RbU3D9CT8WPndCNN2r8vVtwle7DH7ZMedQj1yunn/6bqgf/+pcGPFHR2deo2t6q/4haL4xZGHrcoIWpkGYT0ik/MMaWOU4G5hPlMr1G0LpRDnrX8j75HPJ/qIdmCwkzcUP5L57yJeHnG315lfhxY47eYzVf+9rX6lmSXJ1wzjnndoLgud0I4j3lec97fsfI16rvHX/1q18rT3/6M8rJJ59afvSjH5d11lm3vu/gPiA3sVq7MNqwCE0QgHgF6qxFaje6eo540003LYsvvvicEYQpJmsQHrEhIEzd5onjMcaYF4RHpJ2k7o9C2sa0hUWLOAaBORHqmlu3K1qsNm/rJahM24SBY/6EQCssXKW77DIr1kc7WmHRsbJqL+EAtTMXcZt49DRaMAz/3xGQPJkb5JfyafNzJiCkCQvTRXHrm3JALdNOOLOBNlxhqXPSBv5rGISDTgwm/tOf/nRO3YxbdsBCtG2nevA2YLBnLtguk733/mb54he/3I2g31bWXXe98ulPf7bz81dlk002LR/60G5VvfHGT6i7oLJYqvff7g4CagviBJInL01ZtfcxuX7j6U9/er1WmoDwTKm4joK4z2bejnH7g7qk/aadpu2MAn1250lYQAIRqEVPDcKthnpALqbS84n06hub3h7G1AuLROz0084qK6+0Rr3P/ddnRFiI/M3ttUjYvZ+TMyF27iiNKGlt82uq9DMLyUPlONO84k7Zp9JBwmz9Rq1Qmg0kPJR6JzxfU0rSZ8Sw3Xbb1au1nVaOO2tln/3sZ2vP/6ijjqoC5QlPeEKl7G6qh0Fv+Fc54ICDyote9OL6AtnLXvaK8tSnPr0ceODBdaSx1VZbd8LlF+Wwww6vIwVhD0FoWF+wzrDBBhvUE9QOzNnFZJrJwvVLXvKS+i6E3YEEcQvxTT5GjajHGGM6UF/UQzxa20w9mqwO0dfxn5Gw4CgeozACatDIXLdrURJziKBA116LGYkY6uzfFK/TTv1NWWXlNct6j318OfPXE2sWE9d7TIQ7DL/Vm3B3S7ojQDqHeRK9UWjLDSPFlHwnw9Df0KhyGGIqs/kF/otL6iQBZvfQRz7ykfKBD3ygrqMZWTiQZvfdu9/97upOXXWIzWthTjtbqDbyMDK25nDyySdXe/1FlaXstdeXysorr1q22WbbssUWzy3PfOazy5FH/qATMj+uRDCp7y0IVB2oT3/603UbrbMQdjDl+dEllliiLoB7gpOwsklE/IM2bcoogjB5n+8YY0wH6oo6GT7d1qXJYKp5ntYs0iCR/ypwhIIG2QbKTgtCwJUcnaL+Nw214gqrlXXX2aAZWQBGNsGQWmrDTli+o+iOhFHpR6PQmiu3lOF07Lc0CvRTNlPZm58QXuogwmxdsWFh2d1HWSugTzAQBNycdNJJddu2dwUIFFOo1gy8bGZnk7ULW1/dswNnnXV22XHHnero4qtf/Xo57bTT68aKFuqmkTbGbwRjLc9CdaaZLFIbQRAQniZ1bXS7tx/ELZS6PtSTztZ8jDGmi7beIPXO/1FgpjM5I2ExitpeDugVOS/ha6gTMoy5+OI/lh/+8Mjym9/8unNbrZeTTjytPGLZlcraa63TjTLOrHr8bYXFkNoEorgZ0h0Vt3X62zJYUHFp62BbNzw8g1HnHQajX1NRFo2dRTj++OPr3UnZpWRkzL6pIo/cex3O/U5/+9vfq7kRxiWX/LU+LNOCvjWKU07xstw+9W3q9k4mgsKanhfS9txzz/KrX/2q3t/UQlvSYMWbIGgbb9KDoG0D0JrdWsSv+ennGAsXRpXxZGVNX2dyntcsgkinVGz7zjfccMOu5/WielGZYbfdIB4Jf+ELX1Ae+9h1yiGHHFztgt1QSy25XFlrzUeX00/rRxZ9pHthMcYYM4X6E8FhVLDJJpuUzTbbrE49EQCu3tC7dxaCwFhrrbVq799o4FOf+lR54hOfWE9IW9xWdz0r6spnGLYnQuQXvzih7LPPvp0fLysrrLBSufvd7zFnoZpQ4p+7oZyxyAgCxDEjujD/tKXEf7qQ5raxcx9/xxhjfuBWC4v0gFIpv/Wtb9XrBh73uMfVBTxbAF1H4NSpRrvGGquXQw89pNqFX51wSlnuESuXR669Tjnj9Ik1i7GwGGNe0QoLc612Junlf/nLX67Xqbuy22ln9dEuI4fedHBc041sezWfC0YLplYDdZ3ZGWf8uj59udNObyyrr75mJ3weUO585/8s97rXfcqSSy5VnvCEjesaiN1OHpkhFFrwh9DQfgJxpi/++U4X7Lb251VYjApzJvEY4/aL+TKyQKn0GqL5X/fi2xpo8fAd73hH7bXZdfKtb32z+048GH7ySad3wmKVbmTxmE5YjEcWY9x6qD9hkpi0dQGdFlu8QV31fKipIaMNF/k5lW3KylUZplBbBkltXeLkk08pn/jEnnXn01prPbIbNSxW/v3f71z+8z//uzzwgQ/uOkgb1EN7zlqo76ZeA36gTDVll5N4uqiPUAN20gGbF/AvaecXtW+LUXpAL5R2nf9jjHGrhYWKpEFqBN2/qm4rurts9NyCyy+/rNKNN93DfsrJv65rFmus/shy6im9EOkr51hYjDFvUH/CEJHnJB/4wAfWaVGCwI4l00tOVxsJO8w5hPpsVGGaipDZaac3lEc/ep3yX//1P3V66d/+7T/Kfe5z3yo03vCGnTt/vtONNs7sGP3Nmbx4aBNh4O1ogpDQsXKWwr1RrukXpvYT+zOBtMYttXDbsCF2fIegh9iXJ1lwH2V3jDse5oOw6BtDKqnGePzxP6vDfTtQrFW89a1vqz2tU089pd6UefrpZ8ypgBa4V1px9bLqKmuWE088ter1Zr2wmJ8VNRV/Xv0c5W5+xW9u8ZqbOcxLXIb+5v+8+DU3tH63NB1MZa81o1YPwzDBovayyy5bb361LVYv3pZYp7OHYOaOJXc/mUZybqh/F6Lf5vp//+e6jUeXV77yNZ1f+5STTjqlGyVMPD0KFru1CeH79tvGJxi2tmLtYpdddq5TYdZRrKnYIWWkQ2CMSi+9UfpAP+kGAsnGkvbAJFBPR1hwJy/afFzQSHyCBRmPqcK6rfLjtsakwmKqgooZ0jBQ8IMfHFXWXHPtsvLKq9S5XMPzxRZbvOotu+xylRxiCk499YyyxhprdyOLtep1CSCo3u++4iesISbTnwwT9ifiHtCeyqvJGk2rx85UjYt+aAh6cTskaHuMvkO0dvOFxAnill9hGKj1mxqjGRXGrUXCG9JUYJ64BUN3sZN0JQ1Rn3rqqfWQmxEGAdG6DUxFObltytRhvAc/+MFzFqkdlltuueXqpg3X2lg093Rlizb/Ehf1y0E+Wenq6N/85uxOEF1Q7b/jHe8sK664cjniiB/UXvxFF11Utt12+669PKiL62c7IXPzA338cjdayiZ5kLT40g+Ez9+MYoLYi7tRYGZkZWQRP+kh/tLvZxJmhviB5gbhZmQkzFFuR+kN0doZ0igkb3yRsFOX4qY1D+Jn6PaIuQqLYQYM9XKy9SbjuitkvfXWr6dbd931TeXNb35rectbenrFK15ZNthgo27I/u3ecodf//rMsvbaj6q9tdNOyzRU3zj43f+/eZhDmhtG2ekbMvf9f9+pvJpbOMxVqjTmUUh8Qy3yf2gnFTV+Tub/0H2Qyh79+IVaezHTm2Q/ei0taAzjSS2OSUMbp9YseeaLqVmg9j/gjpmttKaB3NvkfIXnT52kjoBYc801624+gsbOKKPmFn14E8xbWMnrgBKTP+QQuwQ3Lp///Bc7QfOPOqXlPqkWTn8/7GFL1LWPU089vR72I1R22+3DtZ2os4SI8IZ5kTgE1O3/FkO7QzDjr/TEri/IS/mQDQAzQeI0VdiB8ISFxCNuWj/kdYTJZGjth/jN7ZD6UeDENCG79Ajd5EUQv4L8H+rfnnALYTFMrAxKhcz/1o6vedow9t/85qxy9NHHdvr1783gjnUjj1//euLwHQFhBGLuVwMBbl1LrnG0cUnjCAHzNk5DGsYf6Ivzddfxhx3p6sOdG+Jv1PxN+MJRqXxjp8XQfmtHBTX0R9Sxxy8Vtg2j9ScEvnHb/m8bfRtmC+ZOderhEhjscZuwJnM3EyT8EH+n8lu6UdIkHektD921fg7LO6BnasbtyC67dGDPdRsZQThV/ZCHPKQ8+9nPrie/nYUYxi3htuGIF9CXhzZ3nHCCcxT9C3Pq2I9//NMqIHbb7SMdo72ijrQ33HCjOf4JxvvJL3jBVuX+939g+e53D6iL5Rts8PhulLN42XPPT1a/1Ns2/ch/BNELhv9hlF4Q/TZ9CQvUT0LW4v1kfkyGhDsdd8JU1invuBOntAGM3foTOzEfUuLfEvfcDmkonBA1szbP44dvEPuh2yOmJSxkmMzp//cMsc9ci2AaswrcU9CPDFRkBcTf6MnonsDU03LLrVD3p59wwolVj73ezc3jIg5hIIkPc2pfcR0SszQmanrs9sKCXh/PCI0muJsh/scPoJYPCb+Nwygwj3sUN0ieaoCYDTsagakR/scudSoyPfbiH1CncQF9am5ih9v2G/gvbIxAg/Gf24Q1tD8viF9IXFMuidsQKevE33cyYdH+TzgBAWFkYLOFMxben4iAQASGS/s8HPSjH/2oricEwhSe+PI3fifvoyde/tuK64605ZdfsTz/+S+sTD9rGnvssWfZeuttunK+vDzlKU8rD33ow+uiOPAT7bzzrnWq9phjju3sXVbPcBhpbLfdS2o6YldYyqmtf5D4hNiNWRCzUYg+P9uyiRv5oZ6kQzEKsTsVTQfJk9inFn7qg7RHWMTudEn6Runze5RZ4uArX4TtGyRdodsjRggLhTKRWGpMtX95qS8wQ2ENQGX2hF8rLBScYXeL3p1ekUKS8X1vC9zS+ZCHPKwss8wjyvHH9w/DCHNUxitEhaSRpKCYT1bwiBmGw12IW3GRpggK6l6wTYTXImGHKQD/6fk/nQoyKq708k3jpHbJlx4qBpE0YGL+x02fjgk34qLx+PrPHfM0rriD/A9Fj9vYgaGdWwv+8H8Yt1Fglz2UOFAn7lPBpYGu7PD2tBuRTTHlLibksS0nuY0gDj300Mrk+d1C/BLeqDiKO3fum3J9uIV0PW/XlhMUwjGt5Iba00//db0qxGjCdNPuu3+8/O//3qO88pWvLt5jAZ2DZz1r8zq6uOiiP1a9P/zhwvKKV7yqPPaxj6vTt+lkKSf2TQmlvFsSd3XGd255NUTrfrJ0M5vM38RhKpoOhvbFRfvLVKmyERfqlNEoav0JTaYfjHIbfWG2PAhae7F7e8Od2oQloV1+dN9eD/O89lqZo1fbCwyEsdK77DK3jiowguLa8vnP71UPKu299751WqkVHPxVsft51z4APSf71ZdeetmbCYu+p3/zAlM5VFKVRYH1diemXkLstcSNRqxHFGbf6/dCI8Ki/9+nEZJWEJ5wVRJuEx/UInFFQyRuiW/sRe0rnNiztdJ/avF2d1GG/+zwp/VL3OykSa+PfvzyP3pRh5hHP/bzv3UbDP8PMTf7+c/vNqzYiTp2kgdtekfBPLoL+5yWtovJdtlWQLht1kFRb1M7D6ROtOB38j/5kPCo1V0jr6OPPrqeyyC4nco2KnE5oTueAmsURstGBUsssVTx9sXHPrZHWX/9x5fPfe4LXRldU++X6gXGa+paH8HxxCc+qXz/+0d24fb5DuxqU7vu+uZaxiBO4o/Ejd3kC7V4qwdTMfXJwB/5kLzgPn4IK+0g4Q2RuIgD+60frV9TgR1uQ/7zRxlIs7gF8TN22UNRT4a4aymIH0lDGwd68pVeMPRnMlqUcadkZp+YPoPw8aRLT8bowV3+vhkZIAzWw+D9yMO72VfVYfc222xXe0LmaF/zmteVfffdr+tVnVPtcYdBWy+AX/zil3VOVg/smGOOq3rQ9/jF5+aMC6moaQT+h5nUuHfEDKWgffW4MZPWXS/kVKpeWBB+iB7Iml5omWboH1iK+968j9cojNKnl4oW88ncQ+IPvtwNG3AINCJrDtJKb5S9lkYh+QjJSw1UXOKOPnuT+UE/8Ya4m8p+0hq3bdz70ero976VqfudbInNnU8RDsgzpI961KPKm970pvLDH/7wFvcxCYff/PVFgXCS34igJojcF+UEuFEFHHDAAfXKEJcGJt3W7txIq/O0//4Hlo02ekI93f3v//4f5X3v+0C18/vfX1Cnndxe+9znbllHENb0+s5Sz5ROPPGk8tnPfr5OQ33xi1+6WTmEEr8W7GknvjOFNCRP4jcSlrIgJCOkJoOyUjbazDBu00Gbrpb4Kw5tPsSMXuIsburtVHGcCq2f/EhYQxqFUfZCizLmjCx8ZUoVBpVJdhnW0XXXaiRXlj9dfEm59NLLy/XXdZl4k5ndRJgrIWC0YC4WA4Zzzvlt+cIXvlh3ReldPelJT649o69+9Rvlt789f04hGk084AEPqvO3ERai1E9rTTCMFJxKrBGoCK1eKglSocJYhMNcxdXYR40seuGlJ2aIizGpHPLAsNeoxMIX/Zv3JoQ1WQUYpc++uCTuiH+T+SH+qM2DqEeRNOr5GkFB9BNWS/RHIWYxJ3iy6B23yfM2L4ZgTxmwF/8mC5M++ymX6KGE1UIZeuvh61//er25tT8HMSEgrEFg3g7hOZV9wQX9dtUWwhE/X2EEykb+MUt8k1Z6Ds7x22WDrvEA6yGrrbZava3WIT5w4ttowG5AMGVrZOG9+c02e2b5y196oSW5OiQtekHR138jDs+0vvOd7+6E0x+6OPVxT74kbvKvBb0w1Zki/iP+pixAHmSEPgyzBT/SyZgXCI//Q+Jfyi12qFHUwsUjphr9zA3D8JMHQxqFUfZCizJuJiz04v/ZVdDrr+sa6XVdgXfl/M9OIFx7zT/LFZdfU66+qmtAXd5HWBAc13cjBIICs7X7A1Nt88QCOGZDKHiO8mlP26yOPlKJjjvuZ+W+973/zYSF8u0Z+YREVwm40ThUBl+FSC+UglWZED3u2I2wUIFSuUYJC8KvCswuDb5XXHFVHVVpIKk0wfB/i1H67Cf+iat4TOaHNLCb+CaN7A8J+K3Hxx3EbsJqKW6GiFnM+Wf+3zduxUNY4jQZxNuUmHznBiYLM3mAEv7Qb+WGObvfyclr5yD+7d/+bY6AuO99naZeqy4uZ5FaHNswEw/fMBxqabPzyTqRsxaeQv3gBz84R+iyFwLrHN6g8MKdG2Tde2a0YdrLifC+/txYR9Re0/vlL0+o7uip4zpRF174xznxAW78Naroz1MIz7SLN+evrHqgIyMeyiD1POloQS91Z6aI/6PqW+rvMG+H4C5hT2VvMnDDjyHxE1HHTqvnS5CpL/JmXsKGYfj+j6JRGGUvtCijLnBLRJ8pGGhXyTrhYERRhcb1vbD4x5Ud47qm6+Wq0F0diBC5smOmV11luOvVNO9gq8D9GgYYaWDCoMKff/7vqlCJedYs2mmoLirVXSpk4tcyKf8h5ij6Kgl7fZp6Bo0hZOdE3xA0CJVL75UdlYy7iZ5QLywwy4sr0xNGkDAnwyizxGW6woLdpCWNdyr79FvzhDGKpvKjteMrz5Kf4DtVPEC8s7urdTcZElbrJz/cJ2Z0YIrJCef/+Z/+ug1kimmdddapaxCuFCfUxLNF4p28TBhtOG4b2HbbbetahAeTLIZ7BMlJbhjmvSdZXY7pynEv3vnvYSMCxJbcrMeZUjL15LCdthEYqZrW1EHhXy8o+rxRL9V9fiDRFG5vh161Vu33+n2chmliLs6t3nTRx2nC7xbxN/EdBWaodUs9k7jE/ihqkbDafJhbO5kJ4v8YA2Ehg40UIiR8r77qhnL5ZVeXS/92ZRUYN3Rt0Yijjiw6O1df3fds+tEF5t4zWZXefxVco8CEmcl35gjshlpyyaUrHXvs8VWPHQ2m35Y7UfApuFQC37ZCxDwMNuZ9/CaYbp9W1De+rEv4tv5REyB2qxAW/An4MRVafwJuxCHCgp2p/Il5yP9R/gJ98UtexW3Uo2gU6LfhBf63mMx9MPQnNApDM6es9fDd34Qp/+d//uccAeFqcW9jOwvhKVTrBso0iF/0lHny2v8IDmpTU64h10FSttY9fGH33Xcv663nTfj+3E/c8A+4tWbhplrTfkCoEVwO9/3mN7/pyuFfXX0+rovnFnUqSYfKqFvHBCRX+2BPB017oZ4QEH0HRrsRvm+ES9DmW6uG4f+ZIG5H+TFKb4iUOcT+dNzdGiTMUTTG/MHNhQXqKjNB0I8gjB5u6ITEtR1dU9XMJsx7RqtiY6p6kR6F6aeiUli9/6DBdUHcDCeddHJZaqll6tbZn/2s3w3Fet84Jpj7hH8ThU+/Ncv/obCIftDrhfjTh9mbTRBIm5ERRjJk8r6TYZQZPcxcmmI+lR/APNT+H4U2na27yWgU6PNDPOMfGrpFsT9E3ATUraAdQn6YNtKr10N3X5JppQgIwkKvnYAwDUWYGCkO/Uy4CS9qcRRG7HP7xje+sRs9rFO3s8J55/2uHHXUj7rO0dW1A7PJJpuWgw8+pLrHyNUn7vnl6yZbwsKuKLCG4pCf6ajdd/9YF8ZVtbNjrSJuegFg4fmayvjTdhJHamH1AqOnvhOT9PT/6beI3aH+/MJM/W/tzcTdrcUwrJT/GPMHtzhnEaSSamQquB5RKuvNqWfOoOFsv/32c94tVsHTyExl6F0hi3vWAbg75ZTTyqqrrl4PMWmk0Po/U4iPMNOLvLUQd0KCIMRkWkbP/wXVEBYkpFk6pVsZZepOets0+7Lr2+rFHjOI2jfgn101dihZiHYfk+2nd77znecICQvXmLotqaaInClo/ZgOxEdYSBxC3/72d8rDHrZk2Wuvr1R7n/3sXuURy65Qvn/4D8qVV1xdttv2pWXnN76pG1X354hSpxA/3UTrLW3rG0YSptyc63D/lNGOfEueADW65ppulH7ppbUuqd/RH2OMhR2TCgsVWMNsG5r/t6SesYC3AB72sIeVI488co45dxY6HVp6/OM3qjtBnvzkp9YdUq52tti9zjqPLSuttMqcE9x92PMmLBJvNC+NcOhG/G+4YWLtwP/Y8Z2XMBZmSI80Jq0pfzQqX6mj55u6Ejv0Amp1QafCbcTOPLQ7mYwg9Mw333zzetDNmQkCpUUb9nTAvvigxO/KK/9RDjrokHLPe967PP/5W1X9M888qzzqUeuUnXbauY6obVd9/OOfUH51wkk3+dSDXYzenVJe1/OKnsNx/A+Sb21cqZF8JXwJ4uRTa2+MMRZWTCkscu6ib2ijhUWYA1jo0/j1FiEMxsKyHuL//u//1gNK7oJyN86XvvSVeprVmYyVV16t7ikHbadzVr8LGqMar//SEbNRdm4vSJlmtKgX7HBg8iD5ELT6fT25ec+fOeZo/v/jH/94ndO3zbQdQTzgAQ+ob1ObglKHTDNhqgE/xCnUhj83JF7iAL52LO2ww0vrfWSrrLJaOfvsczs/SyfAdqqH584559x6TkId3XPPT3V+3FinyUw1GWHKG2sVFtQTH3ph/skD6hDQjzm7o/JrjDEWVsxFWPSkQqeiD4l+GrYti+aWXdQGmePXKLxt4X3jF7zgheUxj3ls3YNup9H55/++Cot2ZAGd15UWNJKuydCm/faIlFcYM+ZtGshWxJi3aZ8sL/S+nW62tdTUpHMJ//Vf/1WFg69Fau84fOADHygHHnhgvfa7RTuKEyZmrD6hmeR9mx6wLvL617+unHba6fV6cBsr9trrS9XM+/Gunvn4x/eo13O4xO/Vr35tcX7IwTujY9vAEy+I3wlHPGPmGwJ2AnrDvBxjjIUZkwqLYFjhh9BA0gj0Hu09txURmKUBga+rlj/96c/U94v12M4997d1Ssqaxc9//stqDwS3MLWjO0qjjpAII9PL9zxumOBUDA6DP+mkk+qV3tYhVl999bq9lYBw7YZF6yc96UnlPe95T9cxOKH20jH/IIwXfCMwfFH0ZlIW7LZ1lODz0JDRLj2L5k9/ev/fWoOr9L2bTSjYcHHGGWfUODrjYYcWe/wD7hMn6qnyBpiF2v9jjLEoYK7CYm4IE/F1yldj0ngmg7bB3EI3nHvuefX9i6GwuDWYjUZ4e27YbdrC9Frmh6jDJFsYcZx44ol1jcG71o997GPnnIVwaO7//u//qoDwApzzEkaYEQhBwoj/+Q8JN/9b9XTBfuqp9TSH90x5qYfeq7BW4jJB5kZEqZsB/VZAJHx6o/TzHYJ+S2OMsSjhVgsLjUVD0fBQGgGGYIeInql96YQIM7uq7C5JWzn77HPK+utvWFZeedVmgbt+xphFtIxOuSjDMLy+nG6+PpAvGBHohZv79/Qo5nuPe9yjCoh///d/L/e+973rOQXvSrOjdz5VB2I2MUyL9ZdXvepVZemll+7i/tKy4YYb1MN+Rxzx/ZtcjDHGGKNwq4UFBhPGE8FhK6ErETxD6b4c1zM4gWt6wpXLvbue+djfbneUl/JsowV8qeFNY8wCMM62zKLGVCM0WuhxY/rOOdjJ9NSnPvVml/a56sJNrzvvvHO1Y5rJSHNhQNIYgSEdu+66S3nDG3YsH/vY7uVHPzqqXHbZpZ2ZqarJaIwx7tiYL8JCA0zP0a2emIn3AhxSeu5z3aj53HqN8xprrFne9ra31xFHeJE7ctzOaZE7D8EwG/CqMWYByi7l55vRYUDPxXj7779/vVLjcY97XB01REDY3fboRz+6TuXYSnreeefV3UatoGn9b/UXFISLCIqkz7kh5x3+8Q9TplkzEUcjY6OtsbAYY4wh5ts0FAI7oYwkvvSlL9W7dWwvRJiOaxSe8IRNyuGHH1ntgt1QbqS1bmGvO+ApoTFmD6MYuLl9ZeV2VZfpWW9oRxC2vJp22mqrrWp5Wq+wvbZF6kM7WsmIZUFDmBaoCQlf6esForSbDu2Fw7/+ZQt4hMWQxsJijDHmi7DI8B7sJLFV0tzwEB7v2WGHl5VPfvLTXcPtd0i5rnzjjZ9Y1llnvZu9zc2/26InekeE6SJ3GzmV/OEPf7juFvIW9V3ucpcqIJyDcLGew3IuyrOd1ggS4wXlRB2B4JtOROqH721RnhEWwickcusw4fCvf4kzMwKk0//Xtd34wuL7kAiMMca4Y2O+rVn4gh0vbvDMBWst7ISxIGrtIsLid+f/oWyyyZPLox65bjn9tF9XvQiKRUFYtHFcUHFOGPIdAb2UQRsPemgYL+6M/Jymft/73ldPU7cCIvcxmT600+nUU0+t04d9r3wCbZgJJ2rwFdYw/AUF4bfxSl3tRxWEmMN0/YiiM63UC4dWUIxHFrdHpG60SD2Jemg+CnETd7dX3GphIYNapmU/+gte8IK6E8abxHbN2BHlgJa57ac+9cnl2GOPrnbhd+dfWJ721GeVtdZ8TDn5pCxwy3iNeeFvpKlMbT7MdqUJw0t4rTr/0TAe9FxN4TyMaUIX9rmOO4flTDE5gW/qyQFKB9iUX3sW4vYF+dNSi1F6Y9xekDaSdhJ12lCrN7f2zDx0e8atFhZ6mjLJVAMCT1yuueaaZeWVV66M54lPfGK94sEWxd13/0i54orLy4037YY6/7wLysYbbVpWWXnNcsIv+wsI+4xfNIRFoILJC6SCzSbkTyqxb8KNoGhB3/QfAeFAmh1qyuL+97//nHUIIwqL1xax3e9lzSJlCYTFbKdpjDEWFLSbCARQt9N2fFFAb251v+dXY2ExVyTTMZTMTZuuMNVke6VDWuuvv35lUvvuu2/dolgL5KZ7/X9z5rlljdUfVZZfbpWuJ5u7oRZNYZHF09lmrG3lFFbyPfDfhX1Gdg6fWYz2DnUWqp2FMIJwH9NOO+1UDjrooHrqvr20j79Ji6+wxhjj9oLU57Shtn5Th5ihqdDavz1jvk1DYVAoWyd9Xb5mXlxP1YLolVde0ZF3Ia4p//pnXwCnn3ZWWWuNx9xMWHS+dn6Q9BMMcGFFKkiYqjyY7UqTyt1WYv8Jac+DfuxjHysvfOEL6/1L97znPauAyGlqW13f8pa3lO9+97v1Yrz2LET8RClPesp3ttM0xhgLGrXTelMnS/1W39Mx0gbaDthUYD90e8Z8WeBGMjlbE/0H/y2MYkzmyN/+9reVHXd8XTnxpIkLA8/77R+6Hu6mZcXlV+t6wnMXFgtbgSStkLxYUHEUDqFs44BRW+5jystyBISzEKYE3frrNLVdT8NGwJ9MNVGnEVEvyPSMMcaCgjpNOKQt4Ft2cNoG3naSpgN2Q7dnzJeRRTI26jBQaxemofRmTYMstdSSZcUVly+HH35YNYc//P7i8vSnb15WWWXNcuKvTql68jzTUPET+JupkYUFidt00OZPGHKrH7PotZXV/3xt/zRSc6blzW9+c71aw6ihFRArrbRSvdWVgPB8aG6NbdGGEf+Bug2vNRtjjPmNtAV1v6XZrnet/8J3S4HRedtxSlzGmA/CYjJg6t5QtsDtfQs7a4466odlv/32Lb/5zZlzCuqiC/9ctnj2lmX11R5ZTjpxYjeUffCjhEUKclGEdAwbRRpK0oliNoRpIwJ41113rbel2slEQKC73e1u9ZlP9x7ZyWRLbN6UHmOMhRnqP36B9OrTLtLuFxSEJw7CDiZri3dEzJqwkPGmPkyBeK/Yad8PfehD5T3veXc58cT++VS44A9/LJs+6ellpRVXH+yGshtnQlgghdZOcy2KSENIJdQ42gbSgr4rNA455JDyrne9qwqDrEGg//iP/+hGaiuWF7/4xVVAuJNLZQ+SZ75jjLGwQr1X17Xt20JITIXwnjFmUViAty3Mn9/rXvcq97nPfcrd7373ssIKy5UjjzziJhv9msVj192wLL308uX4435xky6m2guLMFVQaCrVolp4w7REaLTpoWcobIqJkH3yk588Z4oJmWbyVrUFbC/P/exnP6vD50D+RGDwm3qYX/4vqnk4xu0LaQe+6iv1qDq7oJB4hMaYwKwKCwxvjz32KPvss099L+DQQw/peskHlQsvvKAriL4y/OH3F5UnbfK0stRSy5Vjj/5Z1QOnagmLFF5AfVtVpFuLtkEMK6IpIy8Nuq13m222qWcfIiAQgeu8ivuaTOsRKC1avwmMhOHbgr3QGGPc1lAPjSjc+OC1RLvz1Nth+1gQSBsKjdvIzTFfhMW8MJ9Uht//7oLyjGc8pyz3iJW7XvIJVY9fGF6n6tQLh4AYhj9Mc/63FP3J4J2Pww8/vJ6FcJ9WKyCMIEwxbbnllvXpUfc22YY8BP9b4ZP/iUP0g+ijMcZYGKC+qtsOjnorJZ2d2wLDtqH9DNvQHRXzRVgo2AwdMUCF7oCXHTghWzwvuujC8vOf/6Kzc+GcAvn97y8oz3zWFmWFFVYuv/zlxFpGRh4LCyKwUnmizrRYGDaKOvotbM87+eST64WLrtswxUQwREgstthi9TT1m970ppqPo3Yxxe+gVY8xxqKGYf0d1u8xFg7camGROfIwRm8fuNbD6e2tt9663hNlWsXlgo9//EZdb3mVzs6Bnd1eWl9wwUX1PYsVVlhpoRYW0qcSt70eeobQ9KLPTswCDN9uMJcsvvSlLy2LL774HOGAvFNta7HdY3YxxY9RGDeiMcYY47bArRYWGGQEBlinWGGFFeYwQqeITbFgkhtttHEVCgcccOAcYWBksckmm9Y3uBdmYQEYdQha4REBEtji6xI+dy25c8mitN1LyRfPkLr2+7WvfW0dZRiGp0c1FY0xxhhj3BaYL9NQBAXmiJl5a9upbe8ieCTHFdeYoekXu3aOPfb4cu65580RBuee+9vO3iPLcsutMOcNblgYp6HCzCMchsyb4HCa+gtf+EJ5yUteUtZYY426MB0B4bDcKqusUl8SPPDAA+u22AjZIH7zK/77hsYYY4wxbgvMl5FFKEIj+hinqRe951122aX2sv/whwvKZZdd0Zn3jO/ss8+p728v7MICMOvhFJE0W6c57LDDajrXXXfdcte73vVmAoLQJCBc2OcshPWbFhEO4CsP+TsMa4wxxhjjtsKtFhYYWisshj1l+N73vleWWWaZjnHevbzoRS++2Yt4p5/+67LmmmuXRzxi+VtMQ820J932vm9NL7x1Gz9bxk190UUXdaOkY+thOQvS7ZXfzpMYQThlbZRhBBEhGsiv+BvyP9Na+Y4xxhhjLAyYL9NQmFwWetMjNh11/PHHl5133rn2rK1jmJr5yU9+2jHO66obOOuss+s01NJLL1t+8Yt+6yz3FsCzCD5dRGglHsIIQ4661WOXvZwKb/URdQt7wB2C87CTBekHP/jB9bpvAuL//b//Vx72sIfVhX0vy+XKb35OhdZ8qJ6b2zHGGGOMBYVbLSwwNMzZF3MlJPbee++6VmE0odf97ne/uxx55JF1wff8839XLr/8is5+7/7ss8/t7GxQhcVxxx1f9XpBMXNGGeYfRm+6R9wgQiDxRMwIitZNy6CpL7zwwvLJT36ybLfddlUQLL/88nMEhC8B4bZX6zIEievYh6MI/rT+jjHGGGMsapgv01CYoy94cCe7oXLq2G4g20Kf85znlM02e2Y55pjjql2wG+opT3la3Q31s5/9vOoRFjfcgKY/DYMZY/ooyIihFQQtJc4xA25cU+xdCKelxb9dpPb06H3ve9+yxRZblM997nPl6KOPrvZbtP4Owx5jjDHGWBQx39YswqRNPTlb4dSx67EPOOCAevbCexY77rhjN+J4RvnRj35S7cL55/++CouVVlplzpoFXmvNYibCIsDsbd/9wQ9+UK/ECJNG4mo0EWbewojopJNOqvctedXPk7B5m9r9Vg7LuWpduixme1dcuoF/0i+MCAdIuFGPCneMMcYYY1HAfBEWKEz4L3/5S71KOyePw1Dhsssur4vbl1zytzpFhIGed97v6jmL1Vdfs2PW/XsWF1/8p/KPf0y84DZdiMOXv/zlOlVk2+pRRx11k0kfjzDuwBSTxXcCwjkQ5x7sXsooYtlll62Cg4Bwt9UZZ5xR1y0iBCIA+I2E3woLaM1b/THGGGOMRQnzRVhgkoAhpocNYZTQMupf//rM8uEPf6T85CfHlD/84cJuZPHUjrmvVaehDjjgoG5k8sLy1a9+/WZTSi3CqCH+A4bujQfXZxjdnHnmmTeZTACzP+aYY8onPvGJKgiWWGKJOSMIdL/73a9ew2EbrBf+vGVttBJEQOQr7YlPBGYrGHxDifMdEcmj+QH+jMrTXr+nqI1OJ/RvKazjV9RB/A6NcfvDqPoTjMv+lrjVwmJuGJXZP/rRUXWa57nPfV69SM/CMabtbWhTPXe+83+U973vfbdYKA7CjFHsuEfJew8YPv9OOaUfpYDDgA4KfuUrXymvfOUr6ytyd7nLXapdguXe9753HVWYJnNDrpERAdEKolEYV6apkfxBrQC9NYhfLfwf7py77jqbF+yKM9ozTagj4wyL3Xqjy6yNH3Xi3HaAxpg72nIPLWxI+YbEkV7i2v4PtRild3vHrAuLUTBV5clP6wAbb7xxWXrppetBtgc96EH1xTc7qUaNCoK2EIGg8L6DxWd+GRFYdPacKObvUr7111+/CgU7mGxzFTah4oEmU1cW5q1btIj/YRpjzAxtGbXqWwsdhIsvvrjurnPexZQmsv516qmn14Of11xzbVdufT1RfoQFQWGkcc0119XDoCeeeGLdwaZj4WClDsJZZ51V/6sLYSQtExlj7jDCJmAX1jajLDMbIo7Uyt6sQ+LNzvDbwv+h3u0dC1RYtBl8wgkn1Pe5MW69fF89fWsN3nWAyQojUz/wpz/9qb4Ul3uXPOPqnIPzHauvvnrdycRvRBjl6VECBcPJ/fnAzzCIxFVY/i9MGJUvo/RuKyTvhur5BRsXvAxoupCw1/m46KI/dqPGV9cDnh/+8EfL5ZdfWe1mxOFLSIANFk9/+mblmc98Zj3787SnPa1eeqmD8vKXv7x2YNRP8VY3FrbyX9iB4bY7JGG69SD2WrezAf6HhOc6IodnXZGeDoKv9t/ymyDxvCNhgQoLBSDjQWXyEpzTzi0z33PPPauUh8kKI/oeDDJ15RU+z40SGE5SO/sQ4eEKcFNMmMC+++5bGYJRx9BvcRNuehbimQqzsFUK8UHih/J/YUEbn+Tl/GK4/FV3CAvvf7z1rW+t04yXXvr3jvHvUG8COPjgQ7vwlN0tGY5zPs997pZliy2eU37yk5/U0cnXv/712nHxqJROxkMf+tDy05/+tNpXH1Jnx5ge5Je2pOyD6dbR1OnW7WyA/+Ljqz79+c9/rqNLG3MSfoTFKB4w3fTcnnCbjCySyaaJXImBqZsesiPpkksuqWYpzMmggD/2sY/Vg3/rrLNOXdDO86MEkNtuHaTba6+96rSCnkP8a/1tK4YKjlJBEofYWZggPuKJpsqn2wLikzjJR1NEw57mvCL+OuT5+Mc/vt49BrTf974PlCc+8Unlt789r+pdfPGfO3s/rFfiH374EZ0AOLrroLy/HgI99tiJsz56k9/4xjfqvV06K3bTucoFFtY8XpiR9jIv5c2NOoNmEwnHl4DQgWxnGXxT9tG7o2PWhEUYxpAUkALI1+2rpotcCfL973+/uk1lSUG1BRj1r3/967rziYAwhWBqKe9E6CUaRbj2G5MK4l48wLf1c2ieeCTuCwsSH5Xb3Lp8mu34tXkzt7BaO/JPGQx7mjNF/Iy/1hscmHRBpbdCMP/ttntJ2XDDjep2bKOND31ot7L55s8tW221dVlxRRsqtqyXVj7rWZtXf/71r55ZyL90EnRAbL6IsGjBjfQkL25Nem7PaMsqJK98J0PsKQOdCyO6mSB+TxZO/A/YUy/DZ7QjdSblSo85/djNdn9uWtAbhss+P4KY+bb2WvXCjgUqLFIIKMxDr04vsT1EN2yQ+Z+CBQvSRhSmDNZee+3aG8wWWIvX5qFtf3WGQsPnN/cocVlUIf7g7ikLvBk6R382kHJLmQTJy1avjUvKrDWfF6QOxF+jUp2CpzzlKfUk/cc+9vGywQaPL+uvv2H53e/+0I0Szi7rrrte2XnnXbtOyJFl2WWXK7vt9uEqTJ797C2qH+LV1gn4zGc+U5+zNQ1F35qYTocRLwZGL4yAeoxbIvVhSFPVz5jLYwwaf5gJ2jCizn/wDeW/8mMnYeJFKWP6/lsPcwDXAWMvXNJn12zFIYccUq8Ccg7Lkwy77bZbPYBsFkO9+c53vlNv3k5YCbeNQxvHhR0LVFhoYAojJAPpB/63PVDfUOxGrcBsh7WbxfkKhbX55pvX6ScPDXl9juAgQGyVxVDSc+BeXBZFyIPkBSHhoXtrN/RmE21ZpMwSl/TK/UetXfqIel4hDPUlYYDRhIVoV7KYb7bATTBsvPETy1lnnVP/P+EJm9QbA774xS+X7bffoZxwwq/KNtts1wmZ9WuDhqQnO2F0LowsMAY7o2y1tjvP/V+mqeJGnG5Nmm7PkC9DmgptnVHG8yIs+JH6oWzauhLELGHFnPAnGLSnuPM1ksDsrYu97GUvqwvg4OzVe97znrrz0lb/Jz/5yXWzhRdCHeS1QYfbt7/97bXD6r64gN8JX32TzmE8F1bM6pqFTGgzJ4WYAovQoG7RZl5b6PEnfrSgr5dN4ruOQ2HaGmt3FWFB+qsQ/BrlflFAm5dIGlRcoyb/ZxMJsy2b5GUrLKKfsg7Na/z4lUbVhmE3m5Gl6cbgHe94VycIHle3z15xxT+qYDCieMtb3taNXI/q8uny8o1v7N0Jg1XLJz7xyVpf1Al1RgM3UlNvrIN53tZmiM9//vPl/e9/fyd4nlB7kiAto+rtGD1S9ikroG7/t6CfusUdpi1/ZwJuh274GX/BN3HzjT5hoSOZMmUetScGXIZqZBH/uHV9kTvi1A+jXLc72CihY+FeOTBVSpjo0AgDhBk/CBRpTTwWdsz6AnebOb4yLT0Her56dRptPxS8ojZaveXMXXJjAcr/+KlAW3+H4M5OFz1E91W5Mjz+cc/dooakV9pDBIW8u63Sk/i04Sd/la38pp7XBpGyjrAAadZr07N7xzveUevGn//8l7LDDi+rb7wfdNAhdSrKnWNLLrl02XLLF3Q9vNeXT3/6s/Vlxo98ZPduBPKEzv4Otdf4mte8pgoC9c6llzoYphM0ZFB/nvvc59bdUiBNSdcYt4R805ZTXqDuTlYH0n6ZU8vbUW16KgiLG7xEfVBf4l9b//yPXXqIXbyBXsoWHM7VSbAJR90AfgnDoWFCxBQlmK5ih4BIpxTZ8cmeGZCAPn/GwmIAGZGCkUHmgu08MX0C5oL910gN2Xx32mmnOvx3JYe5P8zhs5/9bPn2t79dCwr4xd+20NsGTH8I5qkosbeoIPmYdPtm+Kyyj0rvBFTG6dDMkXgl/JSzfBa/NNrQvCLpBvUBMzda1JtTR/70pz93vb9vlz33/FR9F+Wwww7vRh6PLa973Y5ljz32LFtvvU1d07CWIW6HHvq98uEP71ZHDUYpGrr64TJJF1Gapwb17UMf+lB585vfXM/liIc0tfEZ4+ZQ7pigfE65T5ZfMfNl3v6fCdhXVkYCdkHuscceldnTb/2iTji+oZYvJHx1y80Sprgh+u6U22ijjeo0qFHFV7/61bLtttvWkSrwC4HzOh5CU88ihIA/EVLUiwIWyJqFTIbjjz+uk9Kbd73Bd9Z98fDHP15c55Pvdrf/KY95zLpdo35x2XzzLcriiz+ka+zr1jlDmWyXCilPsAA/UyhtoSNIuK05+KbQQy1a/ZZGYSqzW4P4mTgDdZteduSLhik9rV1I3G68kV2NdoL+9S+jK5VZufR04409dS47mnDP34Q3Cq2d/BefxM03fk3mR+I/tNf+R6PsJCz5Enhc6/Of/0K99v6lL315N5L4SNlqq63q07YusWzBbcCvFnrHphlcre9aGulBKYc2Hr5t/FoM7bU0md4Qo8yS7yHmvkHctNTqt/A/6Y/50M4Qrb2WWkSP36PsULdxzzfq1u4otHb07t335iYHd7w5dIlf6ExgzJD84Sb1zjcUEHbO3HjgTMcEEo4NOQ94wAPq5pott9yyfu3MU1+An6lXZjRsvrGeasTTImHOLY0LC2ZFWEh8GlMyjZRXkO6DOuOMX1c9uPLKq7rRxM5lscUeUvbe+5vd/3+UP//5kvK5z32ha9w7VikOepO77rprLZR2h0EqlnCS8Sj6+Y+gNU9hxW7sj0LcDWkYRqs/E+ImEKcwwJhTq/AozCp2ku7Wr4n/zJSFoX3ISESPPwIEQ6dP3buPX0M/p6LYS/zbNAztQtSjwhmqW0qZBdTCYbfztTL00047tbz3ve+pQkJP86Mf/eicnibz+A0Jg7/5D9YtNthgg7pwabRriqHN68kQ94H/Q72ZQnhobv7c2nAWZUi7XZLOymDOBIbt9IS9B9h+/vOf1zW+IG2npUxHYfwEgSuC3EwdsGNE6wCxbdtGFZtuuml9XhnEgZ2Ugzq31FJL1YPBGXksqphVYZEGiHbfffduOLZq+c53vnuTnfrppP5fygtf+KK6zfG0006veldddXVxnbn55exgAkLC8M9dT2k4KfA2LHoJn53JKO5mQvPDj1EU/ybTT9rQZPaG6t6tvKMvP3rqRxD0FQJ7/ETUt/R3pujD7anFKL0WU5nNDaPcElZ6c+nxwXTCkG4wFWXq08uPBx98cJ2GCm5NXBcExI9QxPx0MKhN01gL1PGSLyE9cmnTA6dmblqO2nQxJod03JxyNk9vPbB/+fL8uktI2zz33HMrYZB2jln0Na1n5xrBa97e4i+ithaEgVOzQ9+0jalqa0h69KYIkXKwyBzyf7/99puj9rVV1ddBTdPWFpvd7GBXpCuFrEW5k870EsEfwdDykHQk7JazTuW6IGfBAvo2zjgXlo6sacs8h8Cf+AfurSMs2M/6xqKKWZ2G0lhBhTMkfNrTnt5l8B+7QsHk+8w87rifleWWW6HuYtlvv37O2VZHAoMfCjAMEplKMOyzrREUjHAUMrshdiFfaNUQP6dLtz9IU0ujMVX62/xpaSoon7aBZgSCsujXfpVt5nd1HkKEAMaGAWKE+R+KHetiCDPUYDVyhAESCJgbpoZ5YVy2ZJs+UMcwQQdAMTJMzDZtzAMjsxPLJZS2ZWNOyDUk9t77hvzX23WGw7SWL/32P+Le99Of/nSl+Evd+uPbkrU9nTFrK6bc7PfX09VWvFDp/izrgRb0je7ddvC85z2v9pz1ujFV51XQs571rGqOtFnbQt23ZkRvGtipeaMtF3NauHXWZd11161kd5oetB1Azj45bGsn4nLLLVe3lNplZkoGYaCInq/NCuw5aKt969G7XNSUkqt73PDghmgUda4JYu8e97hHfYsGc6fW8zeqcDEpQcE+oYHYycaIQJ3NqJ2amY0P7TQUEGbi6U4xiH11FKVO8wsITFuxjXCzSL6oYlaFRaSrhrjmmmvWDLviiv6CN8Liuuuur5e+/fd//083ZHxAefjDlyz3uc99624VAiX3+/BHoYAGocCzZTIFMzcGtaAhXkOSjqQFYZLp9YU5WrDG2MKkbN8M6a21vTfmei6YW7bvUafn5snXo48+phx77PHlpz85phxxxA/qTqFv7/fdss8++3Y9rL3ruyF77fWljkl9rm4ntTCI+WBOmBRm5OzBZGQtaRSNsmsqSPnZSWJawDZVC3++/hsxmjIyhYCczLdw6KJIdQdjszPFk7Z6dxgWxuSLqdGz6Gj0iQFifKYIHvWoR1VmFaaEHv7wh9fFS2r6GIutkO4WwyDou2PMAU/Mi75eKibG3L1UD3zgAytjcqbHeR7MCv3P//zPHDVzhEFxi/iDhMd/jM1XnISLgYaJJs7+Y6TS4evpYkzI4qlv1KbMtDXnjTBszNvlmfLEF6PH9OXVM57xjDn5SXAQEJm2Q/Lfbc7RpyZs6G+zzTaVlI+vMkLMEDUz/mCsrvLZfvvtq8BCcUfPGQZ22GXGLoravW7OubilARkd2ACDCEFrC7anEq5GFUYYBLppa3mLXxAWypGQVK91BrRB7TKdlbRPvIQ+/wg2I0vA7O1uUnbik1kPbTjtOmr6YFu28iLEF3XM2jRUMh1sOdTwVAhrEhEE5513ftfIn1q3N+6++8frrpVnPvPZ9VZQkN9hsgoCMBeFj5kBM8wWgzRczdAUfe1rX6s9Nb0uDDC9tjBABZiTl5hYSypfvsg8pbAxujA3vbd3vvOdc0hvJV+7ZzC/llRe85x6etn15Q0NFV6D0MgMffXw9Ng0fj2zMAJMQO9NLy69N0NrZJjrv68eHTcYimsuVll59bLcI1bqmOOyZYmHL1OW7L5LL9X14pZdsSy/XGdv+VXKMksv3zGrpcpDu3LCoJxixniEq8H0fq14C6I/XUoaxBMDR5gakh7/kw7p14vNrhO9W6fy9XYJjec///mVwckvTAyjwVh8w4TCgHwxGcwlTKdVYz6IWm9SWWBgMVM+YVDKy+WVb3vb225WxtS286of6o26pY6pp0YPRiDuKUsdNGKwV98CrI6PqRRPEJt+MUeOLKofccQR9XYD50BcfKgD4EYC0zamUmwND+mUIZ0GzND0kI6FjkdGVEb55u0xPqRzov1gmEh7C6X9hnmimaL1o1VPBeGEkQ/txp/QEEaK8lCHRf0hINQb7dJ1QjpiAd4R3tKqw2vkMT+0VZ0557fUQ+2C8NRhg4x+uScsEncgXLTXXEy5KGPWRhbJeFDhSXiN8/LLJ+aPbW90S6jdUJ5RVfZuBbVjhT3uFYKM5x9g2oQFhg/MTDlo2BnuYmJhlphtGBt1mK+emgUwd0uh9CrpUdvtIM5ID1LPT+/TV88SxRxFLz3R9ARVLEwQ89MDTu+OOoQZOgGKMEO9aj1ilP+YIwZoWoGQUYEJHowLkyK8CDXCL0wKQ/rC5/cqX/jCV8peHX35S18ve39j37Lft/YvBx3QMaPDflB+cOSPy09+fGw59pifl+OP/0U3IvlFsUiI6RitIKOV+UFGQUZDRkgammkeal/MDWMzB67BY2yZQ9fAM61k9IUwNsxi2MAhdUXdSKMd4/YP9UX7MC2lw6MzoQNpmrLFUOC0lPpETQgQOuutt15dk3BTQE72q7/qI4Q/cZP/oB7rHOlAtPVzUcWsTkMl0zxjinnaCfWXv1zSmVXtOu2x2GIP7ZjZF3uNm7Dvvt/uemCf7RjEZTWTMQdCAzBBw/uDDjqo/k+PyDSNOWdhZbEM0ceIMKVM64RZZV46hR9mhVFlwQ9Rj6KYj7KjB4dUMPOfenEYnoqbXh3yP3o5M4FURP8zb29O3retlGOMMUYPvAYfMGVkZIkH+N8iwmCq9sOcX2HuRmWmzIxa251UU4EfOjg6dUa+Rnq3B8zaNJTMjrDAnPWsnZ8gLOCcc35bb/+8+93v2Q3p31Hn1tGHPvThssQSS9XttP1rZ/00E/DPdICeu0KEYVi3Z0xWyelP1QCG6GzPcRNnE/8naEFhVNihMcaYDvAAwsFXJws/SP3JFy+ZilfQZwfa+qeDaYShM8pOwpqK5xBWBIwFcZjK7qKCWRUWiNqOFPPGj3rUo8upp57W6f+zy/w9ymqrrVGWXnrZstxyK1a1O3uWWmqZsummT+0y+cTO7YRfoNdvzt6cdYaACjeVRIGEuMs31Jq1/4f6LVr96dLQ3+kQdwkvJG0oZvE7eYtiPlW42RLb24nd3u8J815/jDEWRajHRuHqNOAJRuip12iivo+u6/SYp01RZ3RCAOFjrT+TgbnZgryhk3a6qGPWpqFkpkxKZps7NIf/zne+qxspXF9+/eszy89//otyyimnlu9//4hy5JE/qF+L2xdeeFHnFqObKBhkkcpiqHn0thAi5Vu7zGdCrbsWQ3vTpTYu1KP+Ry/q1m37H8WeNFO3Zi3FbMJfeeTAooN4OXjHbxQ1Yawyo7HAGGPRg7qOD/iq+yiLzqBNTAfspY1pC30b6ttivlkzmwyZSuZHeGDcLsqYVWGhsGQWGAnYOvm0p21Wfvzjm+8MkIm1bG5CXzATDFHG291kq6OFXJD5Wfzu7feVZIiYj6IhpmNnumjDHcaNOgTsUMde3IVit/3fmsePUOyHeiGgHDrhgG46sT2h1/1HVXhM+D3GGIsSwpTTjtr21LYHNAqj7NFzfQy/W/+p48+wrfRuet7EXoTW0N6ihllf4PZNJhnG2UbooRp3QoEpqdjp3fTESQSNLYC2NNq6arE4/rXuojfEZPqjMPRvJm4nwyi/pqsHrf5kFIwyQ5146ojA6MqjnthGGUmE2Bm6G2OMhQvqZZi0TmR4RNubx6BjD5NO797/3tzIoe+QUqeq+7IPzHohcUM9IMw9f1ph4Zs4RD9h2oxCzSx6iVPaV/T68Hr3Ie6YCSfpCQX8QgsKsyYsJoNdP7aU2d2TjJwMySxuLGhzAwsyg8YYY4yFB2GYeEAYdqu24xCjbs3Ss8fY+x2GrkCxpkGI3FBs07fxxvZ958AuuOCi8re//b1zd33nVy8M+MFPFOGQMPKlH542/B938aN1F4ETu0gaEm+7KvFM6qQ9QiP28382scCFxbCwEfUo0E8GBnE/xhhj3DGh/YdvYKCATzjgmAOQTp1b48Ro2XGS2k5KhyWd3Wnd/vCHP6pnvZwxsrHm5S9/ZTn44EM6OxOjD/6Hb4Vphw8xE5+AefgWO9QJK3H3n3ncJj0EhDWRmPk6fGn63T1a8SNhQ/yabSxwYSFRyZhkSJvwFjIBsZ+MWxCZMsYYYyy8wC/wgXyRE/B2STrljqk6hGuLvbNW4PS8A7Jf/OIXO37ST10F7vtaY421ykEHHVx++csT6rsndmv2wuLGut6KB8GQ/2Du4mEkkBENO+FdATs5R9XyO/b5wY1RkVtsvclhuj1hObORGwoyu5K0g2/Us4kFKiwkKFIwQ6+pIEPYj0CZjpsxxhjj9gt8oCVwiNZtB65lCX9wR5T7u9ww65CsO6Hc/mBLqzXQAw88qBx++BHlb3+7tBMuJ9SNNwcffGg5++xzOqHzvLL77h/r+NSNxRO9H/jAB+s1LW7cxY/coOtaIefHCB/XtvDXoV6M3sgF8CvXs7jOxZ1rLnZ0KSGh4PyFA4ROd4uXGw68k+F2Cae+ndNo4TaG1VZbrV77AtIeYdTmxWxigQqLJDAUiTiZVIxwgbjNCGOMMca4fWG6TI+dlm+4Ityoob0d1lSOiwjdLeaaIXd9uR+LoDAdZdrJCMKU0/77H1Be8IKt6kWbtu1vtdXW5ROf2LOcfPKp5ZWvfHV54xt3qRtsXKLoYJ5pLuHts88+9V4wVwiZ5nJ5oWt5ctLbqMElh8xNi7lnarPN7Ab9cT3d7WoiFzq6O8qpc1No7mFzN5xbJSBpNFpy55t751qemO908u3WYoFPQ0GbsLklcmi+oDJmjAnMrzznRxr5uAzHCFK/1It0IqdC22mkdk+cbfVuWoaMLpzHSk89Zi4XdfHmxz/+iU5ovK54SfErX/lavU3i+98/snhfZ/vtX1LcfO1GbO+4n3baGfW+NEzfJaLuOCOE9PZdGe9GYReVMnNTbdID1hpckml6zKjA/W9GI+5zc2bMJZFGLe6Lc7TAbckEjKkpSFsxqiFECMDkT/Jqbvk1v3CbCIsx7phII2ob0xhjtHVhOvUDk0RgDt/I4T73uU+9Fw7a2QdXsJuisp4A73//++rFgG6SsBbg0tKjjz62POlJT67vsv/hDxd0vfxty267faRsu+32Zf31N6w7o5zGdhsyRm7E4NJOowQ3RbvA1DXy1Jh6C9NMBIHdTASAyw2tn1hodzW86SvxFic31BqBmJaKwJNOeWEqzZX7bj4OIijGwmKM2wxtg52q0Y4xxvzAqLo2FQNkL+YYsKkgt0W73RqYY7a+bmw2/eOyTzDV46p8b7kce+xx5ac/PaauVWy00RPqo2snn3xKXb945zvf3QmWD5ZVV129fOlLX6nXk3sbxEgCPLvg/RG33BpVeM/EhYNh8omfs2FGJN7YcEW6q82NMAgLQowetcV5B49NYyFrGMxMP0mH225ddWQaKoigaPNtNjEWFmPcAirfKLq1mKl/Q/uhMW5/yGghZTyZsIhZO3rAfO1++spXvlL/xw+9cVM33kjJexJunn72szev99Btvvlz6uuchx/+/bLxxk8sb33r27vRxWFlk002Lbvs8qa6ZvGa17yuPPrRj6kvBXoSwKWC4DZpb5gQUF5c9NiTKa6EnZGPJwM8W+D2WffjeT7ATicCZskll6yjBe+nWJC3MO5WbSMUO7RMYVkfgUyf0Yc2nAUlMMbCYoybYVjpVES7OiZrvDOBk+MaOQpjmAppELHXqse4/UCZZgtp6sVk9S11IHUIHNrFrC1i54JRICwsOtsR5TkCfiLnFjyLsO+++3WM3pMCf6o7o9xV5zbsH/zgh3ULrZPb55//+67Hv19l1g4GJ1xtAnO3s4mfdkaZ1mLOLMDwjWSsZdgBxY74W9/w3o4pKQJIGujz03MJvnZXSQMzAsWOLuFB8slX+NSzjbGwuJ1BpWlpphi6URnbRjwkuKU+vWpS/3efrkLbi35tbcwaU/ybDPGrPRiVRhGqHle7E/ZbjNIbY/6jzWNq5TTEVGVBX51ozylMZZf5sC6YFjINZCGZmfrFz5j7z2/qFqJKTz2DGPu26Yi71u/2f0BYJG7qup1Xdk6JX+DaI7urLHxb4Ab2uU04+YKzInZPeYAJmKX9+AqvjetsYSwsbmdI5U1lmimGbvxXiUNpCCgVNOqemNFLpe7MurZ09VXXdb2qv3f01zknVJlPholwzEtf1/WoLm8aKCHWxwF8ers392+U3hjzD8nf5LE6h+FbdB7FzKYqC+bqF4bOzUzBrS2pppvUk/gXCLutU4lL+008UavXu7k5DfVjP2bCNiJwHsNbGNYcIryMDmzztZvKaCNCLG6jTn4YYdiaG0F6W2EsLG5nUJk0tjTWmWLoxv/4N/RzKv8Zqdc3dky9Coq/XFb+8ue/1kNQGEoaxRD0EPMIHsLikksu7XpqhEzvbyiIuxaj9MaYf0g5BZibXrMdPhgj5uabejNVWTALc2R/XsA9QRVhkTBH0Sjzvs5N1Muh3nSJfWlQz3OdedKF8h+1+ZMwQ9ITSjy4ua0wFhYLMdpKOl2wm4oVmglGhUUvFb2N09AuM7cI93Y7e13Q1193Q7nwgj+V88+7sPz1r3+vzCQ9rBb+J74JZ0JYXF/+/OdLOiZ0ZWfGXj9ioW96ip3e7s3TPgxjjPkL+duSPMccMewwfgyTOnYmA7O4Uf4zRfxHqT+j6uuQ2rrSUvzs6/KEsBvSKNCXDtO3SY8wovZNmNpC8iduQ4kbN8mb2xJjYbEQI5UlFWu6SEVLJZ0J2sraQmVFiUviFdBjbl3CSKAXGjeWK6+4ppx91nnlvPMuKFdeqafVM48huE+jSDhDYXHFFaY3hO107A11aspNoexNCIsIq3kbWY0xc6ROQMoQ6IcZtnZGgRl7YagzRV9f+jqfsm/Vo2hov0XMxWkqP0aBftwlTb6jaBh+6zdq0zUWFmNMirYyU88EbUWfCYaVNUjl5m8qcfuNHYx9Dl1zQxUWF//xknLp366oowxXQ7f+BvS4T8OKv6y6JtrBqKuvduGatPV6drLQN4qJsJDeNq5jzC7k+URZ9fmvDNv/zNt6MgrMUv4zrbOQ8k74bZxGEfiyj6IX+M8P/sZ8FI1C7ItHppn4044iktbWf4i/SPjxg/q2xjwJizZBk9EY84bkX1tRqUPTzdvW/UyQ8ENBwm/BvK3onU5nxwVq15cr/3F1+Uc3krjm6n9Wuv468ekbM3stuE9804D68Hr/CB6jCKOWjCKMUM4773fl4ov/3NmXRxP5Jozk2xizB/k9UfZ9HTH1gqhj3tJkYKbM5qXOQtwj6snCD41y08L/ti7F3ZBGgX7c8QOlTrfu/CcIRgm3uKNmzq/bGvNNWCRxSeAY8wZ5p2KEcaaiytdUvrnl79D+bEE4bUXGsE0TXXXVNeXSSy/rRhVXl+uu7epEZ3xDN4JmNgptfCMsej3UC4vLLruiLnDnbXajjN/+9vw6uoiwGGPBQhmhQBkqPzSdenp7hzxAacvD/PA/ZuwFw3xdWDAWFgsh5CHGiZK/1CpW9CZD63a2y4Lf7dBamBj7lVdeVS77+xXlqn9c2wmJLnxRCI0At0h82zR2vwovmvGTECIs6AvHvT5GHP2oorc7xm2HlB+a7bq3KCB1Ou1xmB/+009+LewYC4uFEMN89FWh9EBGVboW3LUMdzbB/8QJhN0fvLu69vxNPRlVTEdY5MuvYdytSfDPOkXdZdUZERoWua+/fjyqWFig/EeV3x0V8gAlX4Z54n/yi52FHWNhsRAj+aoyYcrD4eoQyf8FJSygjY/wTAnV7aydNoqQqP8nic7QD/99Y9+XUIhgYL1xMsZChr7sbl7Yo/TuKEjaR+VJW/cXdoyFxUIMeYnpZ1ThO1ne0k8PZUGWgXBuSfR7utmoAo2A+LaIP7SrH1WvJ3rWPvK/NR9j4YCyGyJlOsYE+jq+CAuLFOooCkaZDWmMWw/5GOY/t6Fq7C7ovE95hzqdm/R7mo6wGMZ5wj/qmzRvgv+ZdmrNh/bGWLgwUT/GCBa1PJmnkcUYY4wxxhh3LMxVWET6jXsFY4wxxhh3XMx1GirTIFNNgYwxxhhjjHH7xqTCgnBoF1epxxhjjDHGuGNiLCzGGGOMMcaYKyZds2iFBqIeY4wxxhjjjohS/j+uCQeON8fHpwAAAABJRU5ErkJggg==)
Findout (F) :
![](data:image/png;base64,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)
chemistry-General
chemistry-
Findout(E):
Findout(E):
chemistry-General
chemistry-
Find the anion(s):
Find the anion(s):
chemistry-General
physics-
In a photoelectric experiment the relation between applied potential difference between cathode and anode V and the photoelectric current I was found to be shown in graph below. If Planck’s constant
, the frequency of incident radiation would be nearly ![left parenthesis i n blank s to the power of negative 1 end exponent right parenthesis](data:image/png;base64,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)
![](data:image/png;base64,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)
In a photoelectric experiment the relation between applied potential difference between cathode and anode V and the photoelectric current I was found to be shown in graph below. If Planck’s constant
, the frequency of incident radiation would be nearly ![left parenthesis i n blank s to the power of negative 1 end exponent right parenthesis](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
physics-
A physics lab is designed to study the transfer of electrical energy from one circuit to another by means of a magnetic field using simple transformers Each transformer has two coils of wire electrically insulated from each other but wound around a common core of ferromagnetic material The two wires are close together but do not touch each other.
![](data:image/png;base64,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)
The primary coil is connected to a source of alternating (AC) current The secondary coil is connected to a resistor such as a light bulb The AC source produces an oscillating voltage and current in the primary coil that produces an oscillating magnetic field in the core material This in turn induces an oscillating voltage and AC current in the secondary coil Student collected the following data comparing the number of turns per coil (N), the voltage (V) and the current (I) in the coils of three transformers
The primary coil of a transformer has 100 turns and is connected to a 120V AC source How many turns are in the secondary coil if there is a 2400 V across it
A physics lab is designed to study the transfer of electrical energy from one circuit to another by means of a magnetic field using simple transformers Each transformer has two coils of wire electrically insulated from each other but wound around a common core of ferromagnetic material The two wires are close together but do not touch each other.
![](data:image/png;base64,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)
The primary coil is connected to a source of alternating (AC) current The secondary coil is connected to a resistor such as a light bulb The AC source produces an oscillating voltage and current in the primary coil that produces an oscillating magnetic field in the core material This in turn induces an oscillating voltage and AC current in the secondary coil Student collected the following data comparing the number of turns per coil (N), the voltage (V) and the current (I) in the coils of three transformers
The primary coil of a transformer has 100 turns and is connected to a 120V AC source How many turns are in the secondary coil if there is a 2400 V across it
physics-General
physics-
At resonance, VL and VC are both very much greater than the applied potential, V itself The quality factor for an LCR circuit in resonance is given by
In practice
has been achieved
![](data:image/png;base64,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)
At resonance, the capacitor has been adjusted for
At resonance, VL and VC are both very much greater than the applied potential, V itself The quality factor for an LCR circuit in resonance is given by
In practice
has been achieved
![](data:image/png;base64,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)
At resonance, the capacitor has been adjusted for
physics-General