Maths-
General
Easy
Question
If ABCD is a square as shown in the figure then which of the following are adjacent sides ?
![](data:image/png;base64,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)
The correct answer is: ![stack A B with rightwards arrow on top comma stack A D with rightwards arrow on top](data:image/png;base64,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)
In the given figure AD,AB are adjacent sides
Related Questions to study
Maths-
In the following figure, a pair of adjacent vertices is
![](data:image/png;base64,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)
In the following figure, a pair of adjacent vertices is
![](data:image/png;base64,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)
Maths-General
chemistry-
Kinetic theory of gases is a generalization offered by Maxwell, Boltzmann, Clausius, etc., to explain the behavior of ideal gases. This theory assumes that ideal gas molecules neither attract nor repel each other. Average kinetic energy of gas molecules is directly proportional to the absolute temperature. A gas equation called kinetic gas equation was derived on the basis of kinetic theory
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/561351/1/1053689/Picture247.png)
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)
Pick up the correct statement/statements: 1. gas A will tend to lie at the bottom. 2. the number of atoms of various gases A, Band Care same. 3. the gases will diffuse to form homogeneous mixture, 4. average kinetic energy of each gas is same,
Kinetic theory of gases is a generalization offered by Maxwell, Boltzmann, Clausius, etc., to explain the behavior of ideal gases. This theory assumes that ideal gas molecules neither attract nor repel each other. Average kinetic energy of gas molecules is directly proportional to the absolute temperature. A gas equation called kinetic gas equation was derived on the basis of kinetic theory
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)
Pick up the correct statement/statements: 1. gas A will tend to lie at the bottom. 2. the number of atoms of various gases A, Band Care same. 3. the gases will diffuse to form homogeneous mixture, 4. average kinetic energy of each gas is same,
chemistry-General
chemistry-
The essential conditions for liquefaction of gases were discovered by Andrews in 1869 as a result of his study of pressure-volume-temperature relationship for
, It was found that above a certain temperature, it was impossible to liquefy a gas whatever the pressure was applied. The temperature below which the gas can be liquefied by the application of pressure alone is called critical temperature
. The pressure required to liquefy a gas at this temperature is called the critical pressure
The volume occupied by one m91e of the substance at the critical temperature and pressure is called critical volume. Critical constants are related with van der Waals' constant as follows:
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xZZKuGKhGYr/zWptMvecJuu/QMyGzoYC4tZUim7DGPlr5xulKTlO/6LVIO1nU9JLQkma88z24eOYiQh2JIz0ge6rv3QvvMpY5TGCAC1h300QlVWokUnXj4dowKvv6FgC+wm6Bc7LYdrFasK/OS1gaaFD/11OeJn/NOObnWtJhE62d3XiwnHrG6E3gx2ugkyWW/VMALFKAybkgeSxg4Sy4MCQdujQhJER0t6pPavtWQMFuKsXRLCk66950HQ6INYEIF22ak5Id023oPCzPtfbDDoB37eop6L4dx0j6Djrvk/zm9LIWtjvn6ZgPGB1NOR069kyX043y5+N5hQsViRxjMgF3rMOQ8m5kUbbWMhiGZMi5+mL3qYYqUXqY6D+qcwRR5l+PoZGSBpcxQZpWrA6h+L4Ysy7X0DDN8lLar7yoea3sVo+oxrohZtyai1MXH5Jq962YtLHalaVNQtA9b0RWXUM/MgLGvZRu1BGW7gCmnu59/MoHJ9ibbImm5d3yThbF8GIhwV+m7KXQJYTWs9SdCmT679wljCHdDsRJMVPeohJFYzOW+0UndqV6BS4TBskqDIRUcmOBj6U9YpCZUOkdUqu8zAAnvHmZNo3hAm3acox5NKOibZWza6AS6IV/iM6EUHPg/S8Kd0ra9RX4akJGQbYQbB//5iVLT5Hfy9mofk4pKr/zO4S/+blIclM593Gqi6i7nmCy9htewEtZKZKXXoFx5ycAz6izjPkl2UQPeu+Rxurx0xju0R95A2qqbN7UXaNrCD45YqVFEUNNON1N/wUkEXdTyYjE9o/Akmv++FJKDuUXgBczGACo2A6F9XQeFqs+3z9/LZXF+1DrXVfdupwnYon0SMx8RHnyZ8VBgRnuiwH8/gq/oYgk6kPtcgZpjoGANtg+EekhwOAWkyQN/73LBAqnmTe0FNm0e47Qp8VpRSlt3rtqnGyis34VcBI3wBmyzYUWMiFD80aKc3iImddo2emdo1upkf7VLJXyR7G6tTvg+0U3fg6L8pNBttnsxc4kouf3xeH4EoaVNXSsYHtFFoaUNeGvwXQKsmRZHjdhc24lkCNR8bd9nDqDW/fgD1XILMFIYbVrMBq79bid1XVd2gqjJV1wcUxwbW4N2edVnpcz93OmVn00AD3C36+qk3ivMsTlQgua9sSzgZsoP8/r7vwVU5lj75vS0Zd7vqjv98ESMzHO0Xrdy0LShcGi3bH3t4u4E6fWfLE9/hPAftyiJdSEWApqRGN7GhhAwoXBvWddFDarm846cgqvDVFG3XpXRgTZ9dFUnhjCJ3eDQS8879qJXqMrlbccGyxfEKi2fQ0HTDvsEtG1cxQSsibDul10eq7GipgUrBswDzWGaZ7taD0LL9DRV06EdvfvQXMLlXKmdX3mxaU+lahrVPOx0oYNdqA4eKeV1fVz6MEYTZoRy7AbVgFf4GGz5MkjPTF/ZuLfg+FMmv6htFDVttGmpBZcsI1znYCyhlGKpXjFq2t3ZoRcE5kvFUMTpVST1toAd4N9v8Ke864a58sV6MQmHi027Idk2EzRj+2LP6FLZY4TfvfYLrNRygbM70AnYDxo02dXxUREew23HBRby/BeVc8jD4+hRmXDnzOZk81pt0YitsQoQ+Gm4CURtHRVr5nMX3VBiH9+cgLoZlHXx5xI8/ZsOQgp6Vjf0BG+VH/yzCYH5W4/RgwGYwQuEvMjgjgnVodFEhDGCPpWfmFBzENWbuMQ7h6ZRpbsbx7zEjySao6+Q05UxSnh1t8P9QbTgQnYEY6JuSipw74yk6ahpidXxwJMBwyr+sG24myJ6QOCDJD8cyclYUCRbxnCcyurOedbyvnl7KHtiQNOe39RIMftkP7vQEtGWglJhXQwX8EZWnsP/H2bsiXdc4rSHn+19huVDbi2zpK3AOriyfkj2k72aIzASP8ZyhCiQSoVHrB0isiYpdowxjpX0KZraIPrk0MrzoLZBmPUEUVN0GnMs46Kk608bJp0loGfPyRn9IF1/drJyMrZN/TauZ7pifk17YLKSIew6h6r1hDunOijVX8+mmaGNjv2Ah+Jl6KpwW0lICcdTBOo1THMyKshdS6Oex9fbXe7jKzzUBK5hpcE+oBgdkMr2qqpdY0644Z331GDts4BTwGgsdnxrKIsVIusiKUCjbza2qB/IoQGnvS7O+N8kFslXCLXXGk+dXaDW97PuySG0lw4IHhcd6HiYzp1n97dXGL8PuVfR1gehzUFkwtce03/FKXtwoKF+vByiTUVTwdzoXvdHnnvnYvAkzVQIwbZt42HmCBV8L7YsVHiCxsAPge8yXoMs4xI9yeGVZ6rwXgmQa4fyCUqmTamFZu3gD/AaZpkecDvavhdXC19KDvNeU4tQYcqyvFyxfKb3pbmfcb35jGcaW0MM6y37eesDZynlDKvovCiorQoNZ8pfnYblcqjQuzlujTDg78Qz8SQzuBUROyxLKVoKgtCSsb6FRopQfHIG99vQsoXWMvwTCyFlJacbso23GgU07tbd80vI6Zi+v2G5ELe1GG/IFKe/P/DMJQgo1rkZ3wAylVd/aJQQVdcYEFtZmR76sI+H/69llJidHA8z/S40TFTof2XlA/feWVzz30Q7yb217E+uyT2ZsTzeysr0CO9UJuyb2/wI5X9wcg2NzCXLXf49/CMM4r8eNAWCtx/zBxzo7xvUJ7KAD/03gpfqxseVb3DiD97+/Ciga+feHsx49Y/1+/8uCHnCkrwr00PEdu6DWCsr3yN9uXmwsrKysrKysrKysrKysvL/FPLPPV00B39F6Pof18il4yUp+VdHGQkVWOdhHIUjvsroJW3kvKQnQrNL/AzbZaBdw0u6FSOHWZoGs+Q03lp7Ad4Yn1LopGXP+lKxUNmfWXr/P0Eo8103JA0GhO1k2Kk5L1a+klKu/Hg9jpSNDDJAS7CbiFF4QH4X/tfPk8qEpES0vXldg0lK48lrfKTG3+buDQr/yx/z6Xyk9z+FMIwDhsAn4wMX5NB+mpNmalLBWMmNuW5p1C6zNoUItnO6SHTM2Ee2qnK6ruurzEQzchQ+r7v40cSEuta61hKvm5BM6SQp7pLkXDc3EJb/DDXMV9peTZBtH/zQK6JXQcum/fZApQKm4s4DOx98UB8TRKaU7RrOvXPadT3FCgyukoERwjp96/s//xkiVJ3D57+5IU2tl4HPuPtMMhaCVaHGPHybTWahQX0okvwX+dEnxIQkidk1T9umrjtroSl4txBzsmqHVVSSu+vbbNMhrLtLYnaBEcL0eEeZKtfY3obvp1UhLfxaQJ1jPhu9Zx/Wt6dWSiZwyp7v8O4YfcgT6BdDUky3OE1Gjl8A41DfPer91fHJ9MC7+vwx8f6UbFlfCopZI1E4hFIlpVj2QS5ykPgpZhbGJ14VwVDC90kBs8nIxFlectbhjf/4rRNDjNdFPeR3jojLfNoImastob12370zTUFv7Zrg8GZ24131YRakvMPaNif4/aFfQKSfbHLuhqR4JuiZ02tuCA/Sq6Z5k32IcJ8nHxLvTwo1MY2/cXV3DyLMUe8fOcjIVT6tGRFhyOcMFm28kUybM84fcVFrth7yUUzPaTvkJBwgAqb1UIGB2rpmsBhiwuPrVfK/4NBXioIhhKmSD6L5aJNlykVt+tQMtVvwnvhLaRkwFWKxhvnY2s5mhL41vU8k8/VEaZi+Yoic3Id46/g0NId6PRbzmpttN15wOlCKLTuC6q14ehRjCou+lrPlUFTJkDkTEcrpc0xCBIq2yPG+7D207IOU/RHplqPXaWS041NmP9xZUBpVCXxNDYV2THCv+fwJlrGZcZROhDmnPrsWAUbDrJp2xOyucsxA46oJKk38BilIxBt9k/6shoJFEVgmH3+/euF3UUlMqIlgCYYHN5rXj3lUcCBr+pspm2JBXJC93Jt0czTvU/7FkmDDL89yENrUNO7KIiBlVfvrq/9Tg1URtRUf7lEcMeHd3OGmlGxZeNXvYEgWgws/P6Yr3lQ4PcHAvN6HJirXs3nMz6DdMHUxwkPgYndGyyVTd0NWRxzC6nvFMQi63BnmNgUVkX6IjWf+fDGGuEuC+RlearBGDkq7K6t7cp4sOMJ1zNTxBgLzeNYiYgAxJSbQuggt+GH1mEFqdrDk6f5aLFFMX4UYzJar0pITk4XkMl+eFIwUmtswlTGhZpSkJ6a/bdQCBJysL1QEfKXCxLP4GAoXuvdV7Zgu5omlDBDeYdJeWAvffigMUj1nOxDKPOaMH4P68Gqf107FSkCzI+RYUGZESI3lBAae72XVz7YMYXLYwTwgDLMGmy7OJ+rzMWOxwdU5fsN3eMnD/pG+TgaTFuW3wDxa7xwvppMwoyuGVdmZqpLkXXuJvcO0ubNC26YCY2U3THdhVSPrQs+t7yOp6O6uq0FtbXWVvpVaPZ8blm5BuQ1NMVL3xw02DboI1mwXI+mkdC/l174BJpv94sfYc3JJu206WJmTMzbgCgNTfMbc1ye8DSgslgR886FYdGdum/Z4EKXPwVWOKxHZiox3MJsWEVrQKFdL7tZ214mniarljK1qwA6ID0xjZ2y7ooKmYeriqGkJ15dqc98BQ9Bf5DWwQ+5kBEak1kVyKZ01kILR8FpbeSaIUO+XhoOq9Zy29QUQFt2/fC5MneTGOa9/D9K61zK9IBbuTW53LIE6Ps4A8Uk0p7GeSzCcW30HRpMwHnoK1Qqs6+cfnxujf8CJ6/PuiyUeDIfLeocOqpLnpBh3kgdMGBLXzwpusI+zeQQdjyXC+qSH6fO6SHEwluaOYSAxKfnLLKYP7o2nw/ZvhmxiKDpi4PekNk/yqsI95FqH9h7rGWMzDuAGve4+/LeAR15/FcWzRXGZpGV1DiUmiH2j5ECUq/J9AGpyDla/lVHQcVcab0bEm/JlwscVcXZOpnqtQUBt2F0LBVGzVli7OGKkr6pqX8kqrx91IyiXSVSwWLfp++4HhaX1K+cSY24XTYsVBWgsgHsVG4YmfGVaTEiKYcjrT8VifHNHDyKikVcjkDV6nsNU70GbdtSmxHY7RgkYUcNZ32f6Sdm1CRG7wTzYiJazlnHrat1A2w7NY9wJM1VSfT/EgpVqhmDER0BoL+XoMS4mYP6A1LrLKdLN0XSJLGdXcWnr3kR4NgdYk+aMHqTpcNIZ1AkKCzWDgLTuzam82SDMxQg+gMUXPDf3gquhQ8BbvwrZTs82xCpd0EfkdIT/zD6JazFhVWwi+GE3yF0MyrP7SvRj3dBBGO5BPEFWDzzEU6TxPdS0d+8c+WkZDsGbnbRohaciG3RILHs6o7ikgvmGb00vu5ZunnkIloGzEZwX6ezGEgqEHso9HKkFpaKrvZRuTK1P1ZznQ9LNE9b4vNrMvgc3f2jaQ7BYoDaX3xSY0zGFmYFFFIbXhNC4sXth3M6A9w+gYofkyjzHEvn3w7eBTfvj6pz6xBDRspJS7qtYvAUeBp0//hL4OA8k7qAzVUn2BK96XTiprL/a1J2TE23yQmId8RTMtTz+KfJu2AYS4caFOn4JwYro+voIC7jqY5jUKNW3VrrvHoNIiQADOVdCxEyHadZae12JHEsg4SemoFOS5DEaswKesHB+1MCwIM44UFTpXHobqmHzlO3rKs5a2n+ySzYpog+B9X6cNMbLXWjgVbZIGrRjGXSt8fTIxvQwgFbZBx9GfUZ6O+PpkJPwQbrLZyPbXo77L5TDyLndt5sDwuh1oeVwPJWUeHvBqeFrCOEu7hgToWQlu4bDbIb1Bo+No+Ck1OvrnZipoQ86SaQF4cBXuCqre5xssXUNe5ptcFJChRCmjKdqsXuMMSW/LmU1J6lpe9uweMKXDn+geWNnkEzM6IalW8ZK1l5V1yHZz9c7YtY/cHr8bnMEa0IIsdgfyETjvFXVtRue7YcIFzWMt237E/T+UTALMxmVDOH7ORVt3OuRFgyEaDOlh+24KNAS2sZGCfp38v4K7JJ8vdzcppVkK/BPHPxD+yMYKvjVDiD4gvWwu0LIiRxO8fD1EQ3fDCMqB+uCmXNFPJHXW9sgtePfG3KA1j2tKYr/hZhdh/ch3uTgILz7WpemRnl0RFZWlqLVn9yAJqwL7RfGorB+pptHKyufY+sON1Le3XJ6Yrsfn16PIFum/rBW08rKjeFOWmM+JOCgrbcfNTAIbcbflH5eWZkfwoIL4Ju/96xOX1TTxL3M8XFlZSEIt+0X2YWO2yVSIK2sfANS+hscN19Z+RM2m/8Dglf9XV9ZfWUAAAAASUVORK5CYII=)
Which of the above gases cannot be liquefied at 100 K and 50 - atm?
The essential conditions for liquefaction of gases were discovered by Andrews in 1869 as a result of his study of pressure-volume-temperature relationship for
, It was found that above a certain temperature, it was impossible to liquefy a gas whatever the pressure was applied. The temperature below which the gas can be liquefied by the application of pressure alone is called critical temperature
. The pressure required to liquefy a gas at this temperature is called the critical pressure
The volume occupied by one m91e of the substance at the critical temperature and pressure is called critical volume. Critical constants are related with van der Waals' constant as follows:
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)
Which of the above gases cannot be liquefied at 100 K and 50 - atm?
chemistry-General
chemistry-
The packing efficiency of the two-dimensional square unit cell shown below is:
![](data:image/png;base64,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)
The packing efficiency of the two-dimensional square unit cell shown below is:
![](data:image/png;base64,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)
chemistry-General
chemistry-
The volume-temperature 'graphs of a given mass of an ideal gas at constant pressures are shown below. What is the correct order of pressures?
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)
The volume-temperature 'graphs of a given mass of an ideal gas at constant pressures are shown below. What is the correct order of pressures?
![](data:image/png;base64,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)
chemistry-General
physics-
For measuring depth of a beaker using verniercallipers observed readings are given as If zero error is - 0.03cm, then mean corrected depth is
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)
For measuring depth of a beaker using verniercallipers observed readings are given as If zero error is - 0.03cm, then mean corrected depth is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAR4AAACyCAYAAACUYKD3AAAgAElEQVR4nO2dd1gUVxfG35nZQgdBRVEQiKLmU7GgYJfYNXYTNLFFbLF8aoqaxKDRaOwmlpjEHnuNiUb9ktgCqIgtKiixoRFUooDS2Z053x+7bIHdBSwrq/f3PD5PsjNzuHPvue/ce27jiIjAYDAYVoR/0QlgMBivHkx4GAyG1WHCw2AwrA4THgaDYXWY8DAYDKvDhIfBYFgdJjwMBsPqMOFhMBhWhwkPg8GwOkx4GAyG1WHCw2AwrA4THgaDYXWY8DAYDKvDhIfBYFgdJjwMBsPqMOFhMBhWR1bsHeJ9nFg9F/PXHkRcpiPKeziChwvqdA3HuBHdUO1EBOaqp2LGm3ZmTaiv7MGC1Qdw+X42JN22YxzsXh+IWZPbo6Kh/EkPcXLTD9hz/G8kZ6pB4CA4VkK9Hu/jg85+Jqxn4PKe7/Dt5gM4duoyUgV3lHdSIzUlA0KFADRq3RX9h4ejVz33Z6+y0n0c37wZh87F4+q/uTDcUo1zaoqxi0ejiflsgfrCanyw8CjSJIPneDtUqP46AkP7YVCLytpfRdw/sRpz56/FwbhMOJb3gCMPuNTpivBxI9Ct2glEzFVj6ow3YScm4di6TTh88W/cTM1D4W3eOI4HL8ihsHeEW/nK8Amoj9Yd2qFuxeJdwSIZF7F10TpcqTca03u99nS2nphcXNj8Fbbdb4bhozvCV/mCkvHESEj5cwXm/hiDf/MIhkXHyV3hHRCAJt1Gosd/lLr702K34ofd0biS9BhqAgAOSt8e+GR6H7wmAKXyHahxZd93+OXkFVy+/UhrT5cCcLwAhdIeTh6VUK1GPQSHtkWIn/OT1SuyRF48rezjR0plAA1cH0cZ2p/VD07T+nFNydOtElVyc6ew7VkWzRARUe412jQogJQcCND+4z2p64orpDJxu/jgKH3UwI7sgz6hqFTRpEnV7X00uY0XKTgQ51SXwlefpQdq7fNpF2jzuCbkxoM4uSc1H7+druYWn8wnIvMcTW+iJA7G7/bOjlRLD9HBkdVIMHyGU1DjaefIODfzKH5lH/JTKilg4HqK0xcCnV4/jpp6ulGlSm7kHrbd+Ln0SPqwjlxvW6hMb393gmJjjtORvT/S3NGhVFXBEQDiHPypy/Tf6a7pbC6WjLPL6e269WnQ5uuU92QmniG5FP9DH6rf7L+086Ypzyr7ZJydRS2dOX3ZQU5BMy6ZrCdERCQ+pD/G1iYZZ0cBA9ZRvM4RntB3xLu0/d2qBr4pUOW3vqXIqCP067YVFDGwMVWUc8QJLlS9wwRaezqVSus6FoRHRRdmhZAjx5Fbrw30sMj1TIqdE0ruvD312lgC4SEiyviJBnnyBhkK4pwa0aeRj03+/dhPG1CjqWdNZnje5VXU11ehqex8Beq+6iapC98kJtOWflU0GcjJqWrP7yn+uYhPLh0YXoXkgmAgPhy5dPqObpsrkdRt1N/Lj17zkRmIlReF/2qcQNWFWRTiyBHn1os2FC0EyoydQ6HuPNn32lhIsLJo69su+vQI3jTqd0PbKkpY2p7K8QV/24WazTpLpc2ezNj51M7TnupOiqLMUj773BDv0fZ3qpBjwBDamljEK2yATPr9fX+jil8lfJ+F/BXp7vJ25FhrIh0zuOnJfUekO0tCSWHw971H/W7gG7l0dW1f8pZpP1yOtWjwhqvmhdEE5oUnL4o+CJARwJPbW1so3dQ96gRa2Nqd3lxt8mpRcg/SSH9v8qksM6qgcr+BtP1O4Rqqpvgvm1OL2ZeLCkpGJE2pb6+1wZG84TQ6b+atVRdmUmOl9uvB2VODT6KfQwXJpUOjA6hZ1w5UnjcQVWUwzYoz5fgiJf3QlSqHTqOpbRUGrZLC4pBHUR8EkAwg3u0t2mK6EChhYWtyf3N1oTLKod3vuhNv1jYRZeyg/h76DwFf4R3aaeobYAbxwX56v6aCePdetP7eEzaXnhOqv6ZRIzlPbm3m0V/Pq6X7HFFfmkXBSn2rh6/4Du1IM3OzmEI/9vajbivvGLQ8nsZ3RLq/ooMF4SEi8R5t7VdZJ46cfT36+GjJncd89yw7AQm3RQASHv06BxEH70MqfI8QgMFD28FOlVf0mjmUTRGx9kPUd+QKOntQ3dyEUYO+xsW8khhQI27ZJCz5K0fbB5YhsOdbqGMmRCF7/S30bqC9SDk4v2QKVlwRS5raUuHacQwGVNcnhPLO4Me1McgvfKN4DZs3/oWWw/rBS7BkMRsJCbchApAe/Yo5EQdxv2ghIGDwULSzUyGvxIWgxa46anjrEyClX8K5v9UlfDgV+yePxsq/1XBrH4bunmVrnEL2n/7o20iGR8e+wMgFF4qWQRlHqD0Ew9u76uIn0r+/Ys32JJP1TLq7G9uudsK4/lUM4i3P2Xd4T/QcHQZ/XdW6iCUfLsT5ErqPeW+RO8FRG8Oi7L+wtHdz9Ji2G1cyjW8r12kCxoQ4lCLAxMGp5QxsmtsBFXQPSUg9MhXvTjlkFGg1Sf5JrF4bi+yCwJfgiYZNqsNs/RV8Ub9uRd11yjqBtetOlzi1pUIRjFEjmsGhQFOhxrUtq/G/DOPb1Bc2YMu9HhjZwx1cYRtGyOGkLwT8tbQ3mveYht1FCwETxoTAodR1Xw21kaM4wMnZcop0T15Yji823oIaCjRs1Qou5m4U03D54CrM+ewDjB0zEVPnb8Cft3L11/OScfF4FKKiCv5F40xiBiClIe6XZZj24ViM/XAGVh29jYLvkpR+Gb9+NwMfjRuLD2euQWSSCVkRXkPb0ADIKAunvpmBHUVrXdmG98LbI3qjss5xH+PQD6txqUjFVuPSmg149PZohDoa/v68fQdQNu6I1p66BCLv/BqsOJRdsofNtoXEJFrZ1dU4YAqO7Kq0pOFfH6LEJ2m+5h6kkbXDaGsWEYl36afw6iQ3CDZzsirUZ/0NbdfKdFdLdT6C6ssN0iRvSnMSLPXj1RQ3M4jkBu8hD579BIm3+GJ0aHQAdf4uhcQHW6lfRYM4Fl+Oeq67Z9AEzqEj42pT4+l/kUq8Tys6WOpqiZS0siu5GgbkAeLsqlDL4V/TIYuFUHxXS0z6jjo5cfqybTTdbJe18PseGaeNQchq0IQ/TYeUxeQD9GmbyqRwC6bx63+m796tTjIOxLsE0uiftN2C3FsU+W1/qiErSIeMAt7/luZ2q0Z2PKfzP05ehXqtTqCUqLnU1deeeE6fbrlPP9p4q2hXL3Pb2+TGabrYrRZeK9plL+vknaTJ/5EbxOn8aPQfheKpGQdoZP1etCa58Ps/je+UoKtFRCTeoSWhBv4LGVUf/2eJBhgsjmrlxM6kpi7GwWAABI4n54AeNG3vdcopwR/RYSg8REQZJ2l6iIu+cgDEuzanmaeyyJzwZG0LM85MZRdaZa7vS0REIiUva2uQiSC+4pDSpLokL6YTHqJcivqwFsl0aeTIvtVCulrwEuk/0eCAzrTilkhUrPAQUU4szWxqnEcFdnnnAOoxbS9dN1kIxQhP3g3aMvA1rfBzJJQPpdknS9hHzztG46trg+KKNrTYRKWn3LP0VQs34iGj6uOPUi4R5R0bT9VlmvQIVYfTgYJ05/5GI70FvZDYVaMuc4/R3YxbtHPoayQrKDcPf6rZoA8tikymrDtb6Z2qBc/IqUHEX0WCm3knJ1FtmcamsvUiumFzyqOmqwtbk4POl3jy6LOR7uuyW6SkVT2owfu/mY5bPrHvlFB4KId2vlPOwD5Hyg4rqCThPosNLLugT7Bz84do6iEYdwlIQsbfP2NGz8Zo88EvuP2kIROnYEzduBjdvfT2pUfHMXPAROxLMW00PyMDuYbzZQQl7BSW/ggPO6XCKP2U9fgJE1wSlAh5fwRaOOhjWLkn1mPdOTUACSk/b0BMcDj6+ZSwbWsXhE92bsaHTT0gGBcCpIy/8fOMnmjc5gP8Ulwh0GPErp2KyR9PwPuDe6FF7foYsPEGUCEQ3ccuxsHYA/gk2LlESRITT+DULU2bn5OVQwWPwu8i4dbaTzDneDokzgmNmjeGEoCiTmPUc9bcK6Wn4H6O9nbOHg72BS/Ho+Lbi7FxUitUcvJB546NUBAOlB7J0GnxekxsURkOVTogtG5BPE2Na3FxKBwiFCpUgDunyav888cRU8JeQNlBgP+A4ejsrov0IPXA99hwTVvW6ktYteYBer8fCkdTjz8r3zELBwcHB4O6RZDSU5FWgiNCi/F+AV5d5+HI6b2Y0ac2XHnj/j+JqYj5uj96fh6FTDMWikN4bQhWrRmN2nb6ipr/9yoMG7oK100EquT2dpAbqQgVmSRXGEky7t9zdg5PmNqSIbw2GKN7VNRlLqnisGn1UWSLt7F14w10Hv4m3Epjz6sr5h05jb0z+qC2K1/oIyAiNeZr9O/5OaIsFoICnrWD4J1yEGs27EH0jccQiSDJa6LflHFoV4rZdqprV5Go9VXO0QXOhQNs4g3s2HQUjyUAvBvKe2hvcA/DgvXTMaz/IHy8Yib6ljNlnYNTRU9dReLt7KEoeGGuHDw9C2ZkKmFnV5AXhPyMxyisK4KzC5y0hUDZN3DlZkkD52UHvmJPjHrLRx+jzDmJ1atOIQ9A5u/LsdszHOH/MT/589n4jgUKVz65HPISPFaiz67StzOm7jyP+KPLMSa0GuyNKn42zi+djrWJT6qaPDw6zsOmL1qjnEGw+f7+jzF6bSIKW5X7+qGKgaOTmIFHjy0FDiVkZGYbjQYIPv5PmNaS4o7uYwehpk4hRdzetQo/nfgRO/LexrBmTzClVumLzlN34nz8USwfE4pqxoWA7PNLMd1Efung7OAT0hNjl6zAmNr6FqCYtAsfTdyCf0oRexVTU5Gu9TdOLoOscDw67yxiL+ZrRx1FqHWJksGv2+dYuXk95g6oa/orbSrpZn83+NaKIsTC72BnUAmkh/j3wfMZzXy+OKLNyEGoV+BLpMLfm77D/tQkbP0uBs3efxuVi6vFT+s7ZhHx+HGmQd3i4Fi1GipZHKnVYD7JD3dh4ffx0H8jFPBq+T6WHY7DuZ2for233nkp6yQO/Zlh2k6JsEP9j37Et2E+eiembPxzK6XI8KEisCVCyhskW7qHOxZrjRrJyfeh12UBVZu1eYq0lgxlk1EY2cJR34V88AsiwrfDY9Bg1CpBwWh4iF0Lv0e8wYda4dUS7y87jLhzO/Fpe299a4CycPLQnyi2FFxDMeO78ahjpxfF5N0fY8LG2yWeEkGSqM9Pji/iRFLGQ6TlaO+QHiI5yRp9HOMlBkXTpobK1sbUtcjqDcWwNk76j8XdPfh2xpdY9aAP3g81J9/PwXcKIybjVlKOgS/YoWHzENiX4FGzwiPl38eRHQdwq4gMOqJm71nYf3Ql+lTRxmZIhcfpWaVNdqGUeKPfig34sIGj5SFmx3YY0KuafvhcTMTFi2nm75fScSnuH52ac/JaCBvY/OnSWhIEfwwa0xOVdP2tHNzKaoLwt71KPvVAysf9IztwoGghwLFmb8zafxQr+1TR9t8JqsfpyCqBeji1nIYVEwL1LVfxLvZMnoAfTfwdU8icnXVTBkgUC63pAXhHFzjpvtB5uBB7rkj8xSqoVFAV/DfnCOcSThUoc/DV0H9EN/2aRsrAoaVbUTF8GMz2sp6T7xiReQZnLuvt8+6dMPitqiXybwv3EHJPrsPK2FyTV2X+72DaiPqaVaa8B/xf8yhVmk3i2gozNs5FxwqWku6I0I+noFNBQJNyEPP7YZiVnvRD+P1UnlaVBXj1jcD4xhaj0c+Mct3GYFBtuUZIOTlqDhiBjiWL3+qg3JNYtzIWJktB5o93po1AfU0hwMP/NRSJ85rEEc0/X4EPG+oDg9K9nzFl/HqUpMcs8/HVdXcpNws5Rbo49RBYq6BGiLhzcBeiXkBgV8rM1g9E8F7w9n7KhbAvkHJvjkJ/3eRUAu8ThjFvV7ZYyZ+P7+hJ/d8eHH2kLXzOEY3GfoKwSiUzYvkuVRy+nTgXp0wGnng4OTuCAwd59bcxMNTCMmwdItT56iJfSEMUtd/H2pXvoYbc/NdJ8AvH8iVh8JVzACQ83P891l8zVWNEJKz7HgfTJAAclDXDsWJxX5Qwb0pP4UCbojFGjmoFJw7g7Jti6LDGMJY8CcZxb4JU5DVUiPt2IuaaLgTwTs5w5ABOXh1vDwyFYSmIkmTQ/ZAgGsZWHULw2YqPEaSbQS7h/t4p+O/am8X29WW1GqKeqyYTKecR0gt7tux1hL3dRNcqEhM34ctv44xmD2df/Am/XCz4xXiAwNJgAVn4v8JI6Wl4pL1F5l0PDZ5bwVsBu2YYPiQISg4Ap0D990ajrVNxDz257xQekKHChZIdg8Xzfsa/EgBODu/uC7HuU83oZYkwN84uJi+jtgoQOBl5tZ9Bh5KNZ0mID/6g8XWUxLs0osmHLa3C1qOOn0XB9jVp4p/FLSrNpJPTQ8iFl1OwqbVaRESURZdWD6BaTpxmfkPobIoptB4l/eQsalOOJ4An1/ojaev157R2WrxP63uVpwafnyu6UC5tNw3ykpF7rx+Lzm9QXaQvGhmsIOfcqO8Wg7k0YjIta6sggCOZV3uacSjZ2L74gP4YX4eUvAs1mnyYjEpBvE/fd7TTTz7jXKj3xsILdnLp7Mym5GQwL4qv0IVWJBQ3i/ABre/lprEtb0ARpmYdZkbRZ40c9RMAlX7UZeo6OhgVTQdWTqQunT+lIwXzr3L2UXjlgvliAnmF/6qbM5K5pS+5FKRP9jpNPqktQzHJaPKavMksulzIUXL3D6Mqgsam5UWWtoGYtIredOOJd+tGq5KKmSzzNL5Daoqb2dhg0i1Hbr036O7JufUHffWmD8k5EGdXjTp88hOVtmpZEJ7l1CmgB83avI1WfPIWNa5ZnzqFT6YvFyykrz4Lp7b+blS5yVD6Nqb4JfGqK7/QoojR1DnAiThwJK/clAZNmUs/nkgx/6z6Oq3p5UNNzQqPhseXtlNEvyZUxUEgR/83aOiUWbRg4Vf0aXg7qu4kkEPVEHp35h5KeB5eJ96jyNUzaGJYIyovcMQ5VKeO70fQgm2nDRbd5VHM1DdpzAHDZcOXae/SufTZoCCjRaUAR3Z+HWjsjMW0PjKZSEym5Z0CqMeszbRtxSf0VuOaVL9TOE3+cgEt/OozCm/rT26Vm9DQb2NIt3OI+g4dXT2PIoa3oSpyrojtMV8spA3H7+vzPfc8zW7uYrRo196vA/133VmLr562eyBV5jVi+fbWDJP3qG/vpcmhVUhhNDvdjWr3+pIOFezB8fgUrRoRYpQPfMXm9P7aWEqMXEoDAg0mwHEyqtp2Im08m0C/ftGdqtvp349TVqduEXvoms5ZNCuslZxmdvV/j5ZqqmsZ5TH9MtSH/EYcINM5bsCT+A6p6PLepTRv6mBqXF4wWrXA8Q5UuXZDali3OlWpVI3qtupNo2aspaM3S7gzRSE4IjMN2+w4RMdVRNPGFTT9sbx7uBAZibPXU6F2KA//+i3QrK4nStLBelKktHOIvuWH5vXdig1YSVn/4MKpM4i/eR+P8gCFS0X4vR6E4EBvONpsCzsbcdFxqNi0sXZdWx7uXYhE5NnrSFU7oLx/fbRoVheez7MQzKG+gC+bN0XEqXz4//cPxH/TGqYjZ7lIPn0Yxy4kIce+EmoFt0GI/xNuHlUqMrF7gD/e2vQQLh2W4sz+0fAv8Whi2UV9Iwon+aZo4Vvcy5Rh3wFgXngYjGLIjP4MrTt8hQtVxuPwxcVoWZZ2/Mv4GUNq9saGnJaY++dv+KiudQYUGCXDpPBwnI0OO5aSZ6G5r0pevUyU5W/ty+JPxeWxzXZCGAyG7cKEh8FgWB0W42E8O/KScOaKhEaB3i8qAbh+5gqcAwPxtIdmMJ4vTHgYDIbVYV0tBoNhdZjwMBgMq8OEh8FgWB0mPAwGw+ow4WEwGFaHCQ+DwbA6THgYDIbVKcU0KzVSTm/H8sXf4MeMoTi5ZyTK2Km1Lxwx5SRWz5yBVSceQMZLUHsEY2hEBIY39TR/0qlpQzi5eiZmrDqBBzIektoDwUMjEDG8KTxNGspE5KIJWHmuYKdFYzjHEIz5egyCX9BKZMYTID3E6Y0LsWjtPpxMzIdrOQ5pD3l4N+mC9z6agiHBHrbdaih24wwxneJ/nk/DQ/3Jidfsf6Jo922JDu16lVBdW09hfgrinUNpcYKKSJVAC1o5EKfwpb5rEopuEGbeEK0P8yMF70yhixNIRSpKWNCKHDgF+fZdQyb36ErdSmHlTRy8qD0Ezr3PRkph5WU75CXQuv7VyZ7jyK7uaNp7R0VEKrq15R3yEUCcXQCF77xT7D5YZRkLwqOmaz99SWP6d6RGPk7EG2zmxISnEOqrtKStG/EAKVovokSRiEhNl2cHkxwgzrklzY8ryTGWarq6pC258SAoWtMijSFSX55NwXIQOGdqOT+u0MZoIqWs76V5xpTwCFVo6N5it41ilBnUdGVRqHbXRQW1WpSoFxjVOYqoL9eexBpOv9pwsVroagmo9uZkLOv5GfDoJwyq1Rcb7tnYwfdWIi96OZYeS4cEDnaeXtqNlwR4+3hBwQGqjONYtvQIRq9oB4tHCeZFY/nSY0iXAM7OE17aTe8Fbx94aQzh+LKlODJ6BdoVGJLuYc+2SHj1+BhjXi+65wxnVxdhHYrdnJdRVhCv4aftUXhMAEDIzszUd59lAaj1mhLceRXEe9E4eikfXUJsc58hizEemUx72dEX1TwFgAmPCfIRu2c/NIdUcrCzt9f1vQXtKZhZJOLOwT2IyWuHUAubZeXH7sF+7WmXnJ097PWGYK8xBPHOQeyJyUM7rSHpn93Yfi4EE0/PwTAvm+71MwBATENawQ71UOOvzasQNWExWjsDgAS1WHCEqx3s7Wy3vEuYcgHCS7Bt5HNBTETUiZvagw85yOVy/blggqDLYDEpBtHXLZ3fICIx6gQKTtnl5HKDo5oFCHpDiIm+rj0JQsSNHdsRlfIbPgj0QUCDVuj+3iQs3BaD5BdykBXjqZH5o4afUnc0syphOYYMXY34XAD5cYj7WwUCB7t6PdGzju0uwbddySwrqOIRb3C0Di8YOAPH6TNYvI7LV1Qwjwrx8df0R8vwgkFzlAOnN4Trl69oDqoTE7BtRwzyxHxkPEjC1fOR2LtuPj7q1xQ1anXE5J0Jps9UYpRd+PLoNawPqgj6I4sTd41CaIePsWnDSuz8W4Sdf298s24yGtiu7jDheVqk9GTcNTi7nRcMstRwG0spC/fvppk/JlhKR/Ldx/rrvGBQOIanhEvIun8XaRKgvrgNO8+pTAyhE7ITf8P8fq3Qde4pmD5ViVE24eHR62tsiWiF8jrxUSMlcgEGDFuDlEaf4H+ntmNEHdueG8GE5ymhrExkG9R8jjPOUr1gEHKzs80fQUdZyDQ2ZFw4BhpGudnIJiAj0wtdJkzA2JFD8FbHYASUVxod/0xiCo58PgBTfn9UyrdivFjKoUXErzj8Q38E2BmVKDJjV2DS3N9sPtzKhOdp4Xijym60VzeRQQuHg0wms3AuPAfevCGQgaNxMhlkHFCuxUjMmrcIS79bi+0HTyIh6RZit05D71ouOlukuob1C7cgycYd9VUj48JOfLfmCG47NURoQw/oGj9SGmIW9sdbc07bdDeaCc9TIri7w00wbI4YXJREvfBwMpTzcDef4YI73N0EoxaSgSGIekOQlfOAuylDCk80CpuOXWdOYnX/GprjbkHIijmK4zmleSvGiyTzxEx0bjMU3x5PR/Cn2/B75DF8/5Y/FLrTptMRPecTrC7JQfdlFCY8T4u9P/wNhrGNzpwWJUgF+iFUhZ+/pYOn7OHv76UvEEkyaC2JkPSGUNXP3/IZ1Q61MWTNdnwW7AgOAGWn4WEWa/LYBOo4LJk4G8fTJEBWB+07+kJw+A/Cf9yD2W3K6fyDMqOx938PzMcMyzhMeJ4WZSCaBDrpWipqVb7ukiRJunYL51QPQXUsTfZSIrBJIJz0hqCzJBkIGOeEekF1zJzaaWiuPsaO7wp3HuAc3OHhxIraFpDuH8Yf2jV3nJ0vqhecGKqsi3ELxyFQrg84/3v3PhOeVxdXtO/WGi7abk12do6+k0QFrRYOLi06IdSl4EI+/oncgG8WrcCeC+k653Ft3w2tXbQzOLKzkaM3hIKGFOfSAp30hiBlP0KmXuuMcGkchFoCB4eglgix7UGQVwbKy4Oq4PwFQTBaXKz4Txd0qKH9hRPgXrG8zVbgEqY7HyrDKSiiwdf4lYeHZ+8R6OstACBkpz5AlvZKbkamJp+EyugxtDcq8wAg4f6OcDR7YzAmfDgavZu3x5dnNLnJe/bGiL7eEABQdioe6A1pxUVA5R5D0VtjCLknZ6BZFXe4V2mMET/GIbtw0lQqqPlK6DEiDFVs1UNfMYQqjdHARzNBh7KT8c+/Bm0a3h522lEuzqkZunXytFnhKX51OhFR+g56p4J+9bMs4AOKynvOq8hsCpGSdgwkXzlHgs9I+i2HiCiLDo70IYGTk3fYRrqlW9mZS7+P8iFBt5BTQaHf3NZbStpBA33lxAk+NFJjiLIOjiQfgSO5dxht1BkS6c7SN0ipXbzLCRWpTcQhg8W7GRQ9JYgC+m2kxJKsT2WUEdR0fVV3qiRwBM6RWsyN0+1soIqfSy0cOALvTm3mnqWcF5rOp8OC8IiUcmITLZkfQSNDq5LCYHU6OEeq2eMDmv3NNopNZcvUNWTRpTVDqJ6bK9UJm0qzp4ZRXVd3ahC+li5mGd/5cN8oClByBHAkuIfSokvGe11kXVpDQ+q5kWudMJo6eyqF1XUl9wbhtLawodRI+qqLL9kXlA2nJO/QETRtzpc0ddxQCp/+C93Ifc6vzXgOpFHs8kHUoLycODtfaj/mC/oqYgSFeivJrkozGrHqPD1+0Ul8StiBfs8YMTUeRw+dws0sR/iHtEebWm4mmsMSUi8ewP6zWfBt08TI7JQAABU8SURBVB0tqpkIwIipiD96CKduZsHRPwTt29SCm8l2dT7+jYtG5JlrSMnh4ViuAqoGBCG4vpfllfCMsk92Es5EHsel2w+RKzjDs3pDNA+ujQoWhzRtAyY8DAbD6thsbIrBYNguTHgYDIbVYcLDYDCsDhMeBoNhdZjwMBgMq8OEh8FgWB0mPAwGw+ow4WEwGFaHCQ+DwbA6THgYDIbVYcLDYDCsDhMeBoNhdYo/EizrMnbOm4lvth7GhTvZUHoGoGn34Zj86TA0q8iOFzVETDmJ1TNnYNWJB5DxEtQewRgaEYHhTT1RqpwSU3By9UzMWHUCD2Q8JLUHgodGIGJ4U3iaNJSJyEUTsFK7ZWZhOMcQjPl6DILZLoQ2jZS0Be82HYzdjv/F4b8WoLltHpuuwdKeGeLDI/RZiBvxMNiLByCAI/uaw2h3EtuLpwDVtfUU5qcg3jmUFieoiFQJtKCVA3EKX+q7JoFUxZsoMETrw/xIwTtT6OIEUpGKEha0IgdOQb5911CCKUOpWymsPF+ojAr+8eTeZyOlsKKybdTX6Ic3KxIPkCxgIkXa+EZ8FoQnlfYN8yO5ojzVaNSMgl+vRHaGm4FBIO+hv1Ca9dJadlFfpSVtNQKtaL2IEkUiIjVdnh1McoA455Y0P64k2wCq6eqStuTGg6BoTYs0hkh9eTYFy0HgnKnl/DgytiRSyvpemmdMCY9QhYbuzXjmr8ywJnl0aWGoroxfBuEx29USr63DsvNvYO1f3+DdWo4AshC/Zii6jtqBRBUBEJH002b8saQb+jo+vxaZLZAXvRxLj6VDAgc7Ty9U4AFAgLePFxQcoMo4jmVLj2D0inaWN+fKi8bypceQLgGcnSe8NIYgePvAS2MIx5ctxZHRK9CuwJB0D3u2RcKrx8cY83rRtjdnVxdhHZye8RszrEl27ByETzuKdFs9UsIEZoUn964b+q9ajndrFWx35ojXhyzFjH1/YMhPqZAASNnpSMsF8EoLTz5i9+zHTTUAcLCzt9dF7AU7eyg4IItE3Dm4BzF57RBqYfe4/Ng92K8xBM7OHvZ6Q7DXGIJ45yD2xOShndaQ9M9ubD8Xgomn52CYFxsreOnI+BPTR66FuqY3ZGduQ/2i0/OMMOupji3fw6DAQrWE90CTJgG6QKlQsRp8X/WPqZiIqBM3tQ7BQS6X608DFQRdBotJMYi+bunkRxGJUSe0AgZwcjnkekMQ9IYQE30dovaZGzu2IyrlN3wQ6IOABq3Q/b1JWLgtBsl5z+wNGS8K6SEOTHofPwfOx7yu5S0cf217lPITScjLLTjYRoBn2y5o+hLs//pUqOIRf00vKLxg0IjkOH0Gi9dx+YoK5lEhPv4adJZ4waA5yoHTG8L1y1egAgAxAdt2xCBPzEfGgyRcPR+Jvevm46N+TVGjVkdM3plg0+drv9pIuLv7A4yPfAPLFnVH+ZdJdVBq4clEXNwNqAFwynoIH9MJr3qDR0pPxt3H+s43LxhkKWfgLVIW7t9NM3/yo5SO5LuP9dd5waBwOIOvnYSs+3eRJgHqi9uw85zKxBA6ITvxN8zv1wpd555CZulfi/GCERN/xJhJcejz3VdoX+7l60IXP4/HkLTf8Mufj0GcAjVHzMMHQbY8keDZQFmZyDao+Rxn7CR6wSDkZmebnGejNYRMY0PGXwUDDaPcbGQTkJHphS4TJqDF4zTcT7yMv86cx9UH+rk8JKbgyOcDMKVhLJa1d32Ct2O8ENRXsGLUF0gZuhObWzgBL01kR08phEfE32u/xb5/CU6NJmH17HZwe37psh043qjvbdjIAZFBC4eDTCaz0E/nwJs3BDJoKnEyGWQcUK7FSMxqYXBb/n2c+WkFZk9fjD0JjyERQKprWL9wCz5pO4qdJmoT5OH8ghFYII7H/kmN8LLO+SyxK0q3N2DKvEjkevXE11umofmr3sfSIri7w00wbI4YXJREvfBwMpTzcDef4YI73N0EoxaSgSGIekOQlfOAuylDCk80CpuOXWdOYnX/GlBqz3PPijmK4zmleSvGiyI3ZhaGLcrBW6ObIfvCaZw+fRqnT59FQkqOviWb9wDXzp3D9VTbHV8vWYtHvIl1/52CvXkh+GzXWoRXL10P7aXG3h/+XjxwQxMWliQDZxAlSAXeIlSFn7+lSLw9/P29wOOGJsAsSQatJRGS3hCq+vnDYkzfoTaGrNmOf260wLSTWaDsNDzMkgBH1uQp20hIjY3GxX9P40zvYCwwc5d4awPeC9mObmv/xS9DnK2awmdFCTwxH5eWDMPHhyth9KZdiGhuECsQb+Gn9QefX+psAWUgmgQ66VoqalW+7pIkSbqvFOdUD0F1LMXElAhsEggnvSHoLEkGAsY5oV5QHRQbXVPWx9jxXeHOA5yDOzycmOgwyg7FemNG1BcYMuMGQuf9gIl18nHn9m3cvn0biX+fwb45ozHr+Kt+EKkr2ndrDRdttyY7W98kBhW0Wji4tOiEUJeCC/n4J3IDvlm0AnsupOtaNq7tu6G1xhAoOxs5ekMoaEhxLi3QSW8IUvYjZOq1zgiXxkGoJXBwCGqJkJc1WPBSwcPz3TU4d+kSLhn9u4Cfx70OufYuwfc9bPrrHJb1tOGZu5bWU4jJu2iIv5w4k4sPQeCU1G55srWWd5Rd0vdRuI9AAEfKTt/TA+3PD1d2JiUHguBFg3anan8V6d72AVRVxhEA4pyC6IvTBQtv0mlfuA8JAHHKTvS93hB1VnIECOQ1aDcVWMo58QUFu/EkLx9Ew9dfoqxCyVJfnkXBysr0zvYHxNaI2jIq+mtaQ5Lj5VmrZb7Fk3cJSwePxI83TM0T0SL4on59j2erhLaIa2fMWPgOfOWAOv4szuYCQDZiT8dBDTm8+87DzO7ltDercPHwn7ir1uQqZV7A0ej7BYbQecZCvKMxhLMaQ8iOPY04NSD37ot5M7tDY0nCw9PHcP6RBNWD01g19A10nXYY93WBoUzErP8Jab3mY3ZvD7bxEqNsYVqPMunPSfXInjPT0tH+41z70KZ06ypl2SWLLq0ZQvXcXKlO2FSaPTWM6rq6U4PwtXSxUFPk4b5RFKDkCOBIcA+lRZeM97rIurSGhtRzI9c6YTR19lQKq+tK7g3CaW1hQ6mR9FUXX305cUryDh1B0+Z8SVPHDaXw6b/Qjdzn/NoMK/DytXg4InrVgzTPFDE1HkcPncLNLEf4h7RHm1puJlobElIvHsD+s1nwbdMdLaqZCMCIqYg/eginbmbB0T8E7dvUgpvJZks+/o2LRuSZa0jJ4eFYrgKqBgQhuL6X5ZXwDMYLhAkPg8GwOqzrz2AwrA4THgaDYXWY8DAYDKvDhIfBYFgdJjwMBsPqMOFhMBhWhwkPg8GwOkx4GAyG1WHCw2AwrA4THgaDYXWY8DAYDKvDhIfBYFid4jdPzk3E4dWL8c2P/8OZq3eQTm7wD+6GUREzMKpZBaZcBogpJ7F65gysOvEAMl6C2iMYQyMiMLypp+701RIawsnVMzFj1Qk8kPGQ1B4IHhqBiOFN4WnSUCYiF03AynN5JvdO4hxDMObrMQhmuxDaMBn4+4/t2LLrAP48mwh1lcbo8N7HmNLNv3S+VVawtGeGePdX+rBxORJkClLKeaOdCDmnBjTl2GNrbN1hE6iuracwPwXxzqG0OEFFpEqgBa0ciFP4Ut81CaQq3kSBIVof5kcK3plCFyeQilSUsKAVOXAK8u27hhJMGUrdSmHleTP7JvHk3mcjpbAtCG0UNd09upAGBVUkOe9EAT0jaPuFNJvfUdK88KjiaUmftjTi+yi6k0NEmdfp14g3yFPgtA7NkVOXH+iurefAs0B9lZa0dSMeIEXrRZQoEhGp6fLsYJIDxDm3pPlx6pIYoqtL2pIbD4KiNS3SGCL15dkULAeBc6aW8+PI2JJIKet7aZ4xJTxCFRq6N+OZvzLDCogPKWp2R6oi54iTe1P3r2PpZdl3z2xXS0y8DOdRm7Cinae2O+WPLtM2YNbZ/2DEvnRIIOSl3MNDAio9zyaZDZAXvRxLj6VDAgc7Ty9U4AFAgLePFxQcoMo4jmVLj2D0inaWN+fKi8bypceQLgGcnSe8NIYgePvAS2MIx5ctxZHRK9CuwJB0D3u2RcKrx8cY83rRsyc4u7oI68AOQbM9MhEzqwfenB6FdHJGyLRd2Dw+CDa8vbsRZoVHqN4bQ6oX+pGviHp1q0LYlw6Jk6N6aFtUt8kO5rMkH7F79uOmGgA42Nnb6+Jegp09FByQRSLuHNyDmLx2CLVwIFZ+7B7s1xgCZ2cPe70h2GsMQbxzEHti8tBOa0j6Zze2nwvBxNNzMMyLRdxeFtIOfoyBM6ORLnGQ1x2Lr6c0fmlEByjtqJaUgvPnb0PNyVEpdDpWfdbM8sFyrwJiIqJO3NSebs1BLpfrTwMVBF0Gi0kxiL4uWjKExKgTWgEDOLkccr0hCHpDiIm+rjn0DyJu7NiOqJTf8EGgDwIatEL39yZh4bYYJOc9szdkWJu8k5g3aQ2uqQjgHNBqxEg0fskqWimER43E7ZPw1e8Z4FyDMHjSYDRxLf6plx5VPOKv6QWFFwwakRynz2DxOi5fUVkyhPj4a9BZ4gWD5igHTm8I1y9fgQoAxARs2xGDPDEfGQ+ScPV8JPaum4+P+jVFjVodMXlnAnKf8vUY1iftlyVYE5cPAsApg9Gjhzd4SJBs98TiIpRAeNS4cWAB/tujIYIGbsZNNUFKP4F53Zqj/5oE7Zf+1UVKT8bdx3qP4AWDLOUMzlSXsnD/bhrM+o6UjuS7j/XXecGgcDiDM9UlZN2/izQJUF/chp3nTB0/RMhO/A3z+7VC17mnkFn612K8MNLxv53/w4MCR5D9g93je+GN2uWhVNihfM03MGL5cfxr4yJUAuHh4exVAzVr1kAVV0FXAUh1C7smjsa31yx1H15+KCsT2QY1n+OMs1QvGITc7GzzZ5RRFjKNDRkXjoGGUW42sgnIyPRClwkTMHbkELzVMRgB5ZWGt4HEFBz5fACm/P6olG/FeGHk/4Xjpx/pTqC1D/0Uu3f/jMNnDmFasBypfx/BynGd0PmzY7DlUi2R8FQI7IEx83bhzLmf8XHTcrqHKCMK23Zff64JLPNwvFFl54xqPhm0cDjIZDKjewsZAm/eEMjgC8fJZJBxQLkWIzFr3iIs/W4tth88iYSkW4jdOg29a7nobJHqGtYv3IIkG/9CvjLk3MDN5ILC4uDg5gZ7AHBogDFjO6McD4AycHbxJCy7ZLv9jVIFl2XeXfDV7lUY4KMdyiIRt6/ffB7pshkEd3e4CYbNEYOLkqgXHk6Gch7u5jNccIe7m2DUQjIwBFFvCLJyHnA3ZUjhiUZh07HrzEms7l8DSu157lkxR3E8pzRvxXhRSJkZyJL0ZS9XyHX/7dqsKepoA3+Ufx4HDt6GrfY3Sj3+ylfqgc/HhmidGpArXrJwe2mx94e/wTC2ZBgBFCXofEioCj9/S3llD39/L32BSJJBa0mEpDeEqn7+lkcTHWpjyJrt+CzYERwAyk7DwyzW5LEFeAcnOBg0fXNz9MOTvKcPqjpqPYQk3Pvnn1dHeAABPi2awk8AwClQvXbAM0+UTaEMRJNAJ11LRa3K112SJEnXbuGc6iGoTtEJfgaGENgkEE56Q9BZkgwEjHNCvaA6sGRJY64+xo7vCnce4Bzc4eHE5vjYBI41UMO7YHIcISc9DdkF1zgXODvqRUmutN2PvhlvzEf86sFo1qgNhi47hfTCH0tR04XgnFqiZ9dXfd6yK9p3aw0XbbcmOztH30kiSRckdGnRCaEuBRfy8U/kBnyzaAX2XEjXtWxc23dDa40hUHY2cvSGdEOpnEsLdNIbgpT9CJl6rTPCpXEQagkcHIJaIoQtELUNFA3RvlXBomKCePs6rutCOQJkBXMsOEfUrlez+A9QWcXkQorcQzS6mqBZ68O7UoORm+lylvaaOpl2DfYjgbOjwClRlGm95R1ll/R9FO4jEMCRstP39ED788OVnUnJgSB40aDdqdpfRbq3fQBVlXHaxbZB9MXpvAJDtC/chwSAOGUn+l5viDorOQIE8hq0mwos5Zz4goLdeJKXD6Lh6y9RFhmjvjyLgpWV6Z3tD2x+UeGrRO6pzyhQofUP+3a07I629HL20KAKmsXAfOV3acfDF5vOp8G08OTF0OTXZQaLDTly9G1Jfd8bTL2aVCEFryT/vispLtfKqS2ziJS0YyD5yjkSfEbSbzlERFl0cKQPCZycvMM20i3dys5c+n2URlw0eaug0G9u6y0l7aCBvnLiBB8aqTFEWQdHko/Akdw7jDbqDIl0Z+kbGmEDiBMqUpuIQ3RPpzAZFD0liAL6baTEkqxPZZQhHtOfnzYiZ06zMDh08VVSE5HqwnRqKAdxMi/qufo62XKxmlmdLlLy3g+oiYfMaCsMgCNl5SY0aP4hSrLlt34uZNGlNUOonpsr1QmbSrOnhlFdV3dqEL6WLhZqijzcN4oClBwBHAnuobTokvFeF1mX1tCQem7kWieMps6eSmF1Xcm9QTitLWwoNZK+6uJL9lrxAack79ARNG3OlzR13FAKn/4L3WAfB9tEvEdH5oZRYHk58eWCaMjnU2lgQzdyqNKcRq29YPM9DY6IzM5pkzJuIuboCcQnZ4Dsy6FS9UZoEfwa3F75haHmEVPjcfTQKdzMcoR/SHu0qeVmIpAmIfXiAew/mwXfNt3RopqJAIyYivijh3DqZhYc/UPQvk0tuJmMyOXj37hoRJ65hpQcHo7lKqBqQBCC63tZXgnPsAmkRzcQEx2LhLt5cK4WiOYtA1HJdmPKOiwKD4PBYDwP2Bgrg8GwOkx4GAyG1WHCw2AwrA4THgaDYXWY8DAYDKvDhIfBYFgdJjwMBsPqMOFhMBhWhwkPg8GwOkx4GAyG1WHCw2AwrA4THgaDYXWY8DAYDKvDhIfBYFgdJjwMBsPqMOFhMBhWhwkPg8GwOkx4GAyG1WHCw2AwrA4THgaDYXWY8DAYDKvDhIfBYFgdJjwMBsPqMOFhMBhWhwkPg8GwOkx4GAyG1WHCw2AwrA4THgaDYXWY8DAYDKvDhIfBYFgdJjwMBsPqMOFhMBhWhwkPg8GwOkx4GAyG1WHCw2AwrA4THgaDYXWY8DAYDKvDhIfBYFgdJjwMBsPqMOFhMBhWhwkPg8GwOkx4GAyG1WHCw2AwrA4THgaDYXWY8DAYDKvDhIfBYFgdJjwMBsPqMOFhMBhWhwkPg8GwOv8Hzadfaz0HbsMAAAAASUVORK5CYII=)
physics-General
physics-
The n th division of main scale coincides with
division of vernierscale Given+n one main scale division is equal to 'a' units The least count of vernier is
The n th division of main scale coincides with
division of vernierscale Given+n one main scale division is equal to 'a' units The least count of vernier is
physics-General
physics-
The nuclear charge (Ze) is non-uniformly distributed within a nucleus of radius R The (charge per unit volume)
charge density is dependent only on the radial distance r from the centre of the nucleus, as shown The electric field is only along radial direction
For a = 0, the value of d(maximum value of
as shown in the figure) is :
![](data:image/png;base64,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)
The nuclear charge (Ze) is non-uniformly distributed within a nucleus of radius R The (charge per unit volume)
charge density is dependent only on the radial distance r from the centre of the nucleus, as shown The electric field is only along radial direction
For a = 0, the value of d(maximum value of
as shown in the figure) is :
![](data:image/png;base64,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)
physics-General
physics-
The nuclear charge (Ze) is non-uniformly distributed within a nucleus of radius R The (charge per unit volume)
charge density is dependent only on the radial distance r from the centre of the nucleus, as shown The electric field is only along radial direction
![](data:image/png;base64,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)
The electric field at r = R is :
The nuclear charge (Ze) is non-uniformly distributed within a nucleus of radius R The (charge per unit volume)
charge density is dependent only on the radial distance r from the centre of the nucleus, as shown The electric field is only along radial direction
![](data:image/png;base64,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)
The electric field at r = R is :
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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)
At
, which of following is incorrect?
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?
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 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,iVBORw0KGgoAAAANSUhEUgAAAZsAAAEACAYAAABlOdt4AAAgAElEQVR4nOydd1gUVxfG391FILsLiyBVkWID1Cg2sMUKauy9d40lsYE1GksETew11ojmi0ajiWKviaKoaETFigpoFCmCSF12mdnz/QECC0tZZSnm/p5nnsTlzJ0zd897z8ydO2cFRERgMBgMBkOHCMvaAQaDwWB8+rBkw2AwGAydw5INg8FgMHQOSzYMBoPB0Dks2TAYDAZD57Bkw2AwGAydw5INg8FgMHQOSzYMBoPB0Dks2TAYDAZD57Bkw2AwGAydo1fQH777biGSkpNha1utNP0pVzx79gwWFhYwNjYua1cY5YiXL1/C0NAQ5ubmZe1KmUNEePjwIWrWrAkDA4OydodRysiMjTF06FCIxeIibQWaaqOlp6fDrAoTEoPBYDAKZ/v2bRg6ZEiRdhrvbHieBwBYWljgf//7pWQ9qyAkJCRg4KDB8PT0wExv77J2h1GO6NW7D+zt7bBu7dqydqXMuX//Pry8Z2L06FEYPGhQWbvDKEX8jx7F5s0/ISMjo1j2BU6jAUCLli3RsmXLEnGsohETEwsAsLSw/M/2AUMzenp6MDIyZnEBQCAQAADs7OxYf/zHiIuLw+bNPxXbni0QYDAYDIbOYcmGwWAwGDqHJRsGg8Fg6ByWbBgMBoOhc3SfbFKe4tS6afjuUBRUOj8Yg1ERUeD5yeUY17MzPHpPxtqL0eDL2iUGo4TRcbJJQVjIbZw/dADXIxXI90IPg8EAF7IDK86ZoY/3TAyr+Rhrho7FtjCWbhifFoUuff54pKjRogfaOc/HPd0eiMGooKiQqGyGaSuboY4egBaVER7QG9fuKDC5RtFvZTMYFQUdJ5tMBAIBBKVxIAajwiGEWZNmMMv+92cwENeEs5N+GfrEYJQ8bIFAOYFTKj/imRYPvtizLtrYFh+VMh3KYp0AD4WCTREVBPfkJO7WmIjRzqVyHViOKYk40TbWOSiLF8RZ5mlITk4v+vkapyyeNni+2M/qeIWiwj3XK6OI5vDk+Gb8duYmboW/RQYBEFSCzO5ztOg5Bl93coBIFYVLP2/HoUt3EJagABEgEElh7dwQXYZ7o1/9T6PoX8rTU9i+ejV2vPgS/se9UFukxc7pT3Fk+XfYGKiAqbEcb6khJv6wEP3raJh+KZatAtfXjMXS8281Jz6BDO3m78HsFllX3XwMAjYtxKozb2FqbwWxPAoRCVboNW8JxruZqV3JqN4E4qf5i7Hp2E28TCZIrBvAc8y38PXuDDuNF/Ec7m+fhLlHInOJSgCJ+3TsXOgBEy26qcLAPcWvP7/D0KVesFa7DPzv6EX7ONGANroAAKTg6akdWL1qJ553PYwTXrVRpAxVr7B/dHtMCOqMQ/c2wENT96Y8xckda7Bqx3N0PXIc3gWIO/3pESxfsBlXFKaQyd+CXCfgh4X9kM9d1RsE/rQACzcfw82XySCJNRp4jsZ8H290KXbnlCGkgZSUFBJLpDR02HBNf9YSOR0fX4s810UQl/dPXARt6mJOYokRWffdTa95DbvHHaYxNYxJLDGhlj73KL0EPCoO0dExJJZIacKEibo5gPweHVzuTYPcqpNUIiXjtqsoNF8HFQIXRnsG1aZqXdbQ3VQiIgU92tyN7JyG0a/h3IfZJp2gCTWNSSyRat7Me9KO7C8pmQIXtqTqrRfT1YT3DfAUfXQiuVTrSD8G5/qmUm+QzxfWZO7UlvoOH0kDOjUkG2MpiSUm5DL2D4rU9L3HH6bRjnl8kdrTiINxWnSSbrCytqF27TuUcKtv6crG78kvJLVgk3Kol8DAQBJLpLRi5cqPb+xD4iQv2uiCiOQhh2iZ9xBys83sszarQvOPU/kPQs9/GUQOUilJa02hs/k6WU4hB5eT12B3qmYkJbGsHa0sQNxc2C80sFZ16rwmhDLdfUSbu9lTnaF7Sd3dVLrh04YsLZzpi77DacTAzvR5VRmJJVIyrjuODhWrc0qWI0eOkFgiJb/du4tlXyrJ5ti4WuShKdlQOl2YWoekEhk1nHedFJp25x7RD1+YkFhSlUb8UYgQSxidJ5ssuPB11EGmbbLh6YVfP6oqc6Yp53P1SerfNNXFhKr186N/ee1t4w+Mo9bDNtCF0DiSq/kip/NTncmy+/ZswfPRe6ivZWXqtOlfUgvz9ACa4WJCjpNOkTzr+JG7hlD7aUcoIluU6RRxeAo1NZOS2Lg+eQfkVWsG3V/hSV/M8qebt27RrffbnWcUq01C1hEln2yS6NYuH9p69W3mPxXRdOXsdYrLN36UP72UXLL5kDjJ30bxdZEbjsLXeZBxMZMNF7aT+rk1p6b2xgUkm/eG4bS2o0nByYZ/Qbv62pKx0zRSc/ev6eQsq059/XK0xUfuokEdptORnM6h9IjD9E2zKiSWyKjuzIBSuxB/j7bJRsfPbDi8CvoT5x4kIPzqn/grNDGfhUhPL+u/Bd24VoKeCIBACJHep/eISWRhiSraTmZyd7Bry3m8M3ZHe/dc99riZvBsWRkJ57Zg1x1OO1tVLP76twk275yC9rXNYJj761AE4dj5BDTt1gVWWV+B6lU4XqSrEPXqJdRqvgoEEIkIqckpWdNfibj8oi58fugJ++ypBgPY91qGJQNsIORf4p8bL9TnnxNOYaO/Db6Z2Q1NGjVCo/dbgxow12aasUKQjtvrB6KP1xrM71EHVcwtYGZZF3ODjWGiIdw/Xb18QJzkRRtdqCGChUWV4j1T4EKx3Xs3zOd+izZGRSx7ElnAshBxc3f8sOX8Oxg3bws1d906opVpAs5t8cN7dxMv/4t6S5ejZ07nwMC+F5YvGQAbIY+X/9zAi3L+EEfH0aiHam5DsP7qGzw74AWPOjLdHq4iIhBBqOUAyj08idOhHETVa6GW2lyxAZydHSHinuDMyUfa2Qot0G/mBGia2ldcP4pz8U3Q/Uub7IAR2taA3Wc8wn5Zis0haTm29y4g4GUVdO7VBp8BAGTo/e1sNDfM26oUzZq4QA8C6FcyyLVakcfj3Rtw6OEFfN+/Pyb77sX110rtOqhCYQjXaSfxPCEecW9iEfcmFvEJcbg8x7no5wafFNrGSX600UVeBCJhMfpbiYc/zcI+h4Xw6VK5GCtsBRAVKG4OD06cRigngl2t2lB31xlODiJwoWdw8lFmtpH1noc5+TsH0qaNUVcPEOjrw6CcL/mtSJc+jCwSb9/GUw4QWdjARu3CSQQLK3NUAoen90K0ttWMAjdPnEdck+7oYpMTLkKLXpgy0gmVEq9gce8BWH7lDfjY81jwza8wmLwVP/Y2zwouIfT1NV3dqZCWlg4SOaCpm3VOIKZcwpafb0KuTED4rbPYs3wiPJp+gfF+95CSvS+Hx0dXY84gdzja2sK+2wY84QEgBcH7vscEz3qwrWaHBjPOQVHcTmWUMVrGiQY+PtYLR3FvA7wPu8BnkQdMP3pgT8Tt28/AQQQLG2v1uyqRBazNKwHcM4SEZEa9UF9f452XKk2OdBLBoUkzWAsB7vFRrJo7GG6O1VHVoRvWZwoDKcH7sGRCJ7hUt4VtQy+cLQNhsGRT4eDw6mUUOAggMa2cdfeQg574MxgIAGX0ay1tC0B5C8fOxqJxty6oqhYtRmiz5Bes7l4NgphL8OnTEV/0Xw35FH+c9O0IyyIj6x2uXnsAA/eRGNEk10oaaXusD4nBy/sBOLx1Poa5WUEv8QH2TeuOgRvvZyUPPTj18Mby9WPhkvIOCYnyrOkVKRoNWYgN8zwgSUpAYqqSVa2o8BQQJ/kogVgvjPRbWDXrDJotW4A2JTFBw0XiVRQHCCSoXDmftxCLDSCAEtGvowtt5t3Va7hv4I5RI5pAH4CeUw/MXLYe4+qm4F1CEuRZU2vSRkOwaMM8eEiSkJCYmrmisZQpJ4v5eTz/7Wt0vJS30wEgA7FPyvlkZKmiQmqKHAQBDAw/y38rLxBmfqZQaGmrGWXwcZyJdsWEL6vmvzIxcMaY3b8jrqsHllwPx507KTAOf4NUFSAtItnwT/dh9+Wq+OrAWNTJO9MgNICpvSs87V3hOWQ8Rq0di2HfX8BF39nY3vkYptTK3EFoZASJhuMIjIwhFQDphbtQgfnv6KXQOFHj42O9YFIRtOJbBLRajsPNpR+wvwZUKUiWEyAwwGef5b9NEggzP1OmFzKFzD/F3j2XUW38fozL3TlCKaQahSGFrAyFUU6SjQj2gzfj/PeZ2VkNPgyrPZpg4c2y8Kt8onm6IRNVhhIcAdDX19o2P0rcOX4WUY3Goms1DcHLv8KJ77xxuu467O96CN5LziDghwHoFrsT/uu6w6aghKN6jYNLf0b6hO2Y21xSoH8AAKEZmnvvxs6oDui19Rr+8A/D5JnFeA/ik+Y/ohdt4gQfG+sFkxz4A74N6og1fzZByRUQ0odBpYL+pkKGkgMBqFSgkQqvDy7FzvQJ2Dm3OYrunbKnnCQbRvHRg7m5GYQgpKfL800TKVJSoQAgqmKppa0GlCE4fiYSjUZ9ify5JgXXfAZjfEA7HP5rENzEfVC36lT0mbwXD/0mY4KLE45MrKUhKXAI2zMTm4Wz8cvcpsUUiQnaeE1Em19m4kF4BDj815PNfwFt4+QjY70glEFYMeNXKBuOxrGVvjj2/nN6jVvvVCA+BIdW+OJGFTfMn9Sx+O3qmcPcVAhQOuTyfN4iOUUBQARzS83+cmF74PWTEHP2zEHTipBpwJJNBUQIK+faMBcG4k1sDBJVgGF2IuARGxsPFURwdHLS0jY/3P0TOP2yIUZ0rZZvCo0P340lm+6j9pyf0UQMAPpwHLAJfyqS4Pn1MVzasQe3xvigmdqFpAoJAUsx/UQTrNs9GA5aZAyhRWM0stdDhFTK6ux98nxInHxcrBcI9xxPI+IQ/HAlgjUa3MKvP96CqOY32iUboRWcaptDGPgGsTFJUMEwR2N8LGLjVYDIEU5O+aftVAmX8f2Mk2i61g9DtBFRGcN+z6YCYuDWHq1NBeDDQxGq9pJLBsIjXoEXWqNVhwZa26rD4f6J03jesCu62eYPaMWtINxO/wy2DtVy3WXowXHoKnzbwQj8izA8y1DfJ/XuT5i0KgNTt0xHY22nvlVypCpN0axlvVxTRyKIRABIBZWGB55EFWx5ANMKgA+Pkw+P9UIQ98KOx8/xPCJcfXt2EGPtRRBaD8Pep+GI+HuBdu3CAO4dWsFUwCM8NFT9XbWMCDx/xUNo3QodGuSZ9ku9i82TVyFj6k+YUUjniDKFAZVmYZTJwpky/z0bPqtSnsZOAQBwWcX0CPQpK7CggZGLxk3/P3AxLOddFhh5YvSAGhC8CsLlp7leUuMe4sateOi5DMao1oba26od9xGOn4pAwy+7QkOugcjCHKYCBd7GJakPjMIqcHG2QiVLG1TLdd+cdn8HJsx7hAGblsLDXK1qGmLOb8Ovdwt/lybl+hFcMR2LqV1yLQUSyVBZJoQqJhKv3u+uSkDwuSBEqQhKxccUNy1tivfbT5+6XoofJxyibvrj0MUwZCvjQ2M9F/llaAAjMzOYm5urb6ZGmXdOgkqQmJrDrHJhc1maB3cjz1EYUEOAV9cvQ93dG/gnXg8ug0dAzd20B9gxcR4e9d8In47m6rUHY85j6967Wf8SQWYig1AVg8jIbGEgIfgcrkepQMp0KMogNsr492zkiIlJggoqJL6N1zwwcLGIjlMBJEfC22QAhQdLhSM9FfIMAOlpSM0XkSpE7ZmIrtMuQOE0A+evfo+m+gAgRkvvxRh4dAwO/u86pv/YChKo8Obsz/g9zB6j9n0D1+wLIm1sc+AeH8PpsAbo3726xucjBi1HY0yT37DiwP/wYNSsnJdBlU9x8VoCGo8ZDfesz1LvbcPIvovxuEZHiBaOhf/7RohDamwobr1qjm1B+gA4PNoxBl/t49B+8gJ49XeBDDxirmzAtCWvMXaTD9Qu9Co1gJurEfac/B2zRxnjfkspXly+CVX96rAQBuLZtd3wWZ+KLgOHorVVeV/lX5zffvq09VL8OAFUUXswsdt0nFc4wetcIJY21ceHxjoApKelIQNAempqCV71pyM1LQOAHGn5xQ2IW2LmkgE4OvoQfrk+DStaSQDVG5zdeRBh9qOwb4przl186j1sHdUPix47oqNoIcYcze4cZKTGIvRWJFpsu571WSU0cHeF0S8ncWD2aBjfbwHpiyu4ydeHnYUQgc+uY7fPeqR2GYgRra1K7GyLRFMNG90X4uToycnN5Ovdi+qaZhVZrPI59fLypa3nsuz4KArYvZLmD3MjK2mmjXFNT5q0eA39eU/3VYB0XhuNj6JLO31oRu8GZCqRkti4JnWctJjWnwxTM0sOWEytqttQvTH789V1Sgr+iQY2dKXuc9bRpmUTqF1TT5pxIFRjjSRtbIk4erC8NVl4rKOwQgpFcf8eo3keTlS322z66ffjdOz3LTR3gAf1XniKIrP248J3U3+HQop7SmRUb9blLD84evZzf3LIKr5oXacJNW7QkFoN9aUTERorgVFG2B/k3cmFLE0tyMFtMPmcjST5zYXUomYLGjh3G50JfUclXaJQN4U4iQouWlt+9VJStdG0ixMiSg6gRa3tyKr+GPotjzC0iXU+KoB2LvWi3p9XIbFESkY1PGnSog10orDAJyJSXKFZ9WUF1Ebj6fWlnbTUqw/VN8v03dFjMi1af1JDQ0kUvHkwNWjYg2av20y+X3WgJh5edCA0V6NcOPkNcCRpgX0jJaP6s+hybj8ywujQzM7kZGVGVRzcaaDvWYqU36TvWtSi5oPm0tazofTuI4VRLgtxFlj1uRxTWoU4Pxp5JAWfOUx/ngqiiKSSss2gsL9/o8M3Y4oxUKfS6zt/0ZED++mA/0W6F/2xA1sGxT28SEf276dDJy5RSJT8I9sreUo/2ZRfSrTqc0mijS7KAfLIYDp9+E86GRRBFcBdItI+2bDVaBUdQxu4evaCa4na6sGx7SA4FssBMawbtENPLZ+7FnZsM+c26OlcUu0x/pNoo4tygKGNKzr1qijefhjlfSKbwWAwGJ8ApZJsiMBqVDEYxYBphfGpUua/Z8NgMACmFcanjo6f2bz/PZshWK/bAzEYFRymFcanDXtmw2AwGAydw5INg8FgMHQOSzYMBoPB0Dks2TAYDAZD5xS6QEChUCAuLq60fClXvH0bDwBIV6T/Z/uAoRkiApeRweICQGJi5qq5tNQ01h//MZKSk7WyFxDlr3OampoKC8tSLNDGYDAYjArJ7NmzsGjhwiLtCr2zqV69Olq3alViTlUk5HI5/jx8GI6Ojmju7l7W7jDKEb8fPAiZTIZOnp5l7UqZExsbi3Pnz6NBgwaoV7duWbvDKEX+ffkSly9fhpmZWbHsC002jRs3xvbt20rEsYpGTEws/jx8GC1btMDWrVvK2h1GOeLY8eOoUaPGf1Ybubl69SrOnT+P3r17YdbMmWXtDqMU8ff3x+XLlyGVFu8X7tgCAQaDwWDoHJZsGAwGg6FzWLJhMBgMhs5hyYbBYDAYOoclGwaDwWDonFJJNnzUX1j5VS94dOqHaX63od2rQAzGfwfu8U6M/2onnvBl7QmDUbLoPtnwYfA/8AT1p67A8pEWuDJvGjbe53R+WAajwqF8gG3frcLxe9GQs19QY3xi6D7ZiOzQ7ZuJ6FyvNpoMGI8eNfUgEOj8qAxGBSMdd7b/gvS2HVGFTW4zPkF0/ONpmYfQzzqKMuwWUjp/h3nOeQ7LPcHxzftx5sYthCVkgAAI9Exg/3lz9Bg7GZ0dRFBFBeDnbX/g4p1nSFASCAKIJNZwdu2CEd59Ud9A92eiG3goFICBgeij2uB5EUTFbYJTQinUh76Wg5oyLRVkKIGBpv14HrxIhI85C43oqt1yRto/27FfbwTmO/2M3fn+yuHJ8c347cxN3Ap/iwwCIKgEmd3naNFzDL7u5ACRKgqXft6OQ5fuICxBASJAIJLC2rkhugz3Rr+KKxBwacmQC8UwMtQ2CrTTBc/zEBXDmM8U7IfFpDINqWQIiSYRaRHrH+VDWUEaSElJIbFESkOHDdf05w9ATo9+n02eNc2oaksv8n/Ja7TiIjZT5ypSEkurUt/dr0mTVdzhseRoJCWxrBX5hKSXkH/5iY6OIbFEShMmTNTNAVLu0/+md6G6NiYklsjIwqkjTfo5mJK0aUP+hA4vHEjtO/Sifr07Uftec+j3x6kF2yc/oRNrJlI75860KpQrxgGS6NHRVfT1gB7Ue/hkmuP7C12LVf9W5E8O08IBHal9zwHU27Mj9ZpzkAp2IYPubRtHXbt0oc7Z25fUd8lZSsh3atq0W7pYWdtQu/YdSq7B5Gu0et7P9CiDKP3vGVSvxVK6k6HBjougTV3MSSwxIuu+u+m1ZoHQmBrGJJaYUEufe6Q7hWQSGBhIYomUVqxcqZP2+Zf7aWhNE6r5zbnin4tWupDTk8OLqH+HjtSzfx/y6NCbZv/+mPJZ87F0ZeNX1N7JmowkUpJa1KKWw5bRyeeKIt1JenSUVn49kLr3Hk6T5vrSnmuxedwtbqyn0L1fZ1DnelXJWCIlI0tnaj/pZwrWatAoOY4cOUJiiZT8du8uln0pJZtM5M+P0XQ3S6o7M0CzQfpfNKW2MYmNG9G865q/RO7Rj9RaJiWxzUj6Q4eDj06TDRdBe0e2oJaDvGjpih9o/pg2ZCeTkti4No09HKsxyeZvI4z2DKpN1bqsobupREQKerS5G9k5DaNfw/MmEjmFHFxOXoPdqZqRlMSydrSyiGTDxwXSqj7OZO06irYGafaJC/uFBtaqTp3XhGSKU/GINnezpzpD91I+F4iI4g/TaEdjEkukOZvUnkYcjPu4dkuZkk02SXR5yVj69tA1CgoKosAdw6mW69e0/2YYvc3X6el0YWodkkpk1HDeddKoEO4R/fCFCYklVWmELgWShU6TDfec9gx0JInEuPjJRitdcBT2y2CqaduFVodk9pXi0U/U1d6ZhuwNpxzrVLrh04YsLZzpi77DacTAzvR5VRmJJVIyrjuODkUWoFg+jgJX96U6No1o5NYgitVgVvxY5yhi30hq3nIwzVi6gpbPH0Ot7TMvVGuOPayxbV1TrpMNEVH8/wZSjZF/av5j+iWa4WJMYuMm9N3NApLNs9XUViYlSbUx5C8vcfey0V2y4Snu6CKasecx5bgvp5AVHclcIiXzAb/S22K08cKvH1WVOdOU87kGlNS/aaqLCVXr50f/aswO4bS2o0mRyYaL9KcpTS3JtPE0OhFVkJBe0K6+tmTsNI3UXPhrOjnLqlNfv3/zJKgMur/Ck76Y5U83b92iW++3O88olvuYdkufEk023HPaN703devenbp1705dWztTFesG1H7IWsp/vZVOF73qklQio8bf3Swg2TyjVe1MSCy1pdG6FEgWuks2HIXtHEBu7s3Izqi4yUY7XfAv/KhvNROqM/VCrjuZVPprWl0ytu1Pu7KM+chdNKjDdDoSkeNBesRh+qZZFRJLZFR3ZkB+37hI8p/alMzNmtCUE1GaY1aLWOfjjtJCrz30ONdXKg9ZQe0tpCS2GEj/K3rQKHG0TTal/ChSBUW6AVq0cyvdw5YrhJC184bPiDowzP7MEHUH9oJrpWI2wd3Bri3n8c7YHe3dxTmfi5vBs2VlJJzbgl13NKz4E1nAskoRj+nS72LNyEnwe1Efc/1+xJdWmkOEu+OHLeffwbh5W6i54NYRrUwTcG6LH9RcSDiFjf42+GZmNzRp1AiN3m8NasBc9BHtVnREdhi89k8cO3oUx44exR/fd4aVQz+s2TMdbvpl7VzZwYXugLdfFcyd3wZGxV1QpJUuONzZtQXn3hmjeTs35FiL4ebREqYJ57Bl1x1wABIv/4t6S5ejp33Ocy8D+15YvmQAbIQ8Xv5zAy/Ulqqn487aUZjg9y/qz/XDyi+tNK7E0ibWhbJ2mLl0BOrkDBowrDsQvYs9aJQ9Ok82qpj9GOPWFsMXbMDWDcuxOXEgfIfZ6Pqw5Ro9qVGu4M6EeA68wByd+npAVsT+3MOTOB3KQVS9FmqpPfc1gLOzI0TcE5w5+UjDngKIhIU9UuRwf5M3VlxLheOoRfi6wIfKHB6cOI1QTgS7WrWh7oIznBxE4ELP4OSj98Lm8Xj3Bhx6eAHf9++Pyb57cf21sgTaZXySKB/hp1m/wX7RUnSpXPylq1rpgnuIE6efgBNVRy11Yxg4O8FBxCH0zCk85ABZ73mY09wQeZE2bYy6eoBAXx8Gudzk7m+C14prSHUciSWT60GzirSMdT0pjPIPGuB4ASw69YVHUYNGOUDnyUZo2R9rf9+Aqb3ao8vwOfDx/hK2FWoJRWnA4an/GST1XYXl/SyK/FISb9/GUw4QWdjARu1GRQQLK3NUAoen90K0dyPxFNZvvYm0So0wbIw79N6G4/a1q/jnaTzUU0Mibt9+Bg4iWNhYqy9pFFnA2rwSwD1DSEhK5mcpl7Dl55uQKxMQfuss9iyfCI+mX2C83z2kfFC77/D46GrMGeQOR1tb2HfbkPUSZAqC932PCZ71YFvNDg1mnINC+14oUwzarsG9wAVoUArrRMsnCoRs8MafLkux2MMU2rwloZUuEm/j9jMOEFnARt0YIgtrZIbaPYSkAEJ9fY3LdlVpcqSTCA5NmsE6W7SJOLV+G26mVUKjYWPgrvcW4bev4eo/TxGvJiItNaQB7qk/ziT1xaplfWGZdXzu8VGsmjsYbo7VUdWhG9ZnvR2cErwPSyZ0gkt1W9g29MLZMhBGKYS0CDK7z9HUTvdHqsioVECx3+PL/+OquciS50e+FCgAQFwGOI4Hz/P5mtPWBYFQfdggqEAaGil2uwIh9IQa0rJAyN7jquAQARB+wJeoVVBSoRIRqBsXfMjC/igAQDwyOA4cz4PLY/zRMtY4aAggFAk1XLAKICxjYbDXx8oQ7t7/MKXb5zA3qoymCy/j4QFvjF9/C6mF7udl6N0AACAASURBVKVE6OMIZEAIUxubfNNxehIxDAWA8t8ILb1R4O/Fc7A/mmDesiMaiXkYWNRB0+bV8WpVR1hIjVG97y5E8ACUoXgckQEITWFjk88DSCSGEECJl+H/Zn4kbY91IQlITUnO3JKe45yXDf6e0RKWVl9i49OsCe9it/saTt1nwHfnVDRNe4eERDkyW5Ci0eAF2ODbF5bJCUhMVX5szmWUJqlB+N6zF461O4SLy1oXOZ2sjna6UIY+RngGIDS1Qf5QE0OSaYyIfwuYsuWfYvOEFUj85hSu+Lrh/eM1xd9LMOtANMi8BTxcxeANzFGnaXPYvVqNDpZGkNr1w64IXnsNvYe7h1+mdkM9C2PImi1CwMMD8PpqPW5lDRp6Tt3h5bsDU5ul4V1CEuRZ0pI2GozvNvign2UyEhJTM9/VKmVYsilD9OoPx8bjt/EkaB8Wdq+Jz1RxCFg2F9seF14YS1+/4BtSVYYy8wpKX9uny2l48SIWKujBuesotLXNmkXWs0Mf3znobALEn9+CXbeVAPRhUOBzSRUylBwIQKWCjIRmaO69GzvH14ZeyjX84R+WlSw+sl1GBSYZgcsX4LrHj5jVJO/gWzy00oW+AQoONQ7KTGPoV9J0N6DC64NLsTN9AjbObQ5Jrr+k/fsCsSpAz7kbRre1zXoWowe7Pj6YmykibN51Gx8c63r1MWLDcdwNDcL+hd1R8zMV4gKWY/b2xwWee3mBJZsyR4TKLt0x59dD8Gkvg0AejAuX3hRirwdzczMIQUhPl+e7clekpEIBQFTFUjs3VEooM1QA9CCrLFMLDKFlZ3RrIQH4cNy9kwjomcPcVAhQOuT5ingpkJyiACCCuWVhPpigjddEtBGr8DI8AhxQQu0yKiLKoJWYvleJamnHsNLHFz5Z2497g/FORUgNOYQVPsuw5fyrAlrQThd65ubIDDU50vMZJyM10xiWlvkfMHNhe+D1kxBzfp6DprkzDVRQKJRQAdCTVYZMXUTo0q0FJOARfvfOR8e6qLIzus/+H/5c2g4ygRzBFwIK6Jfyw3/2MWS5Q1QDw8Z1wQ9/H4I8rbCJNCGsnGvDXBiIN7ExSFQBhtlBzSM2Nh4qiODo5KTd8YVGqGIqBqDU8CzFCLVr2UCECGRkZABCKzjVNocw8A1iY5KggmFOcuJjERuvAkSOcHIq/LfJhRaN0cheDxFSaeYUdQm1y6h4cBHPEPEmGA9XBms2uLUXP9wSoeaUdpjUsZoGA+10IbRyQh1zIQLfxCJG3Rh8bCziVIDI0QnOeUJNlXAZ3884iaZr/TDEIW8iEsK4iinEAJSkypfwjGrVgo0IiOC4Eop1EWoMG4cvf7yIg/LCJ9/LA6V2Z5Py9DTWTl2IQ1GqQqx48DwAEFQFzSlyfOaUCxEKa6kiYuhgDxs9GewdCr9yN3Brj9amAvDhoQjNyP2XDIRHvAIvtEarDg20PLoBXBvXgz4y8OJZONRnqoUwNNSHQFgFjjVMARjAvUMrmAp4hIeGQt2FCDx/xUNo3QodGhQxlaeSI1VpimYt62XNeWvbblbdK1JpjBdNCxDKK4rnJ7FsXC94evbBpHWXEFXATCqfKRCoChZItoaoAglE3HsbQl+E43mE+vbs0FjYi4SwHvY/PIsIw8UFTQtsQytdGLihQ2tTCPgIPFY3RkbEc0TyQli36gC1EE69i82TVyFj6k+Y0VhzEjBwbYJ6+kDG8zCE5XncI/zMEAYCIao4OKLENGToCHtrPcjsHdQ+zqzxRprjhApfHKErSifZpIQhJPg8/jgQhEhFIacpj0FMkgpQJeJtvGalcDHRiFMBJE/A2yQd+VtGJIc+QZR1NwxolyuQuWjc9P8DF8PScj4z8sToATUgeBWEy09zRTT3EDduxUPPZTBGtc7/XkAOmoJNBLs+A9FOxiP04oXMhQDZKPHqZQxg2xV9WxpmuTAKA2oI8Or6Zai7cAP/xOvBZfAIFOoCgJTrR3DFdCymdsl5FKxVuyIZKsuEUMVE4tX7ZaWqBASfC0KUiqDMmtIo93Ah2L7iPMz6eGPWsBp4tGYoxm57/xwrN3LExCRBBRUS38ZrPjcuFtGZAkHC2wr0y1EGRjAzM4e5ufpmZmQAIQBBJSlMzc1QWfJ+MoZD1E1/HLoYhmxlaKULI3iO6o8aglcIuvIs18UVh4dB/yBOzxlDRrbKefE67QF2TJyHR/03wqejudrAqYo5j6177wIARHa9MaitDPyTi7igLiIoX75EDGzRtW/LLHc/XkNIDsWTaGt0H9Au14ciyExkEKpiEBmZLQwkBJ/D9SgVSJkORVkIQ1NZAZ2Uq5Efo3E1OtG6CA1lUrgndGLTMvLqWZ8qZ9XMMqvfm2b4bqOzWfZ8VAD5rVxAQ91sSCKRklhiQjU8JtPiNX/SPR1UG9RduRoFPT7oQzMXbqUzYSnZn6ZH/EmTmrvTN8djcpW24On1zp5kLpGScePv6Eau+iR89BEaV8eUGsy+TClZtrEnJpOLWUOadia+gJIu8bSrlymJZW60OFhTpUcFhaztTNayejT5VE4b/OvfaHBNZxpxIFLNt+gj46l2ZVeadTnrPPhYOjGpHpk2mEGn499bZtDD7cOpVdvBtPD3B/SOiIg4ir68hga2H0I7HuT98orbLhHx0bSnf1WSSMzp8/7zaNU6X5rStxd9vXg8NTSWkrRmd5q37hcKKKjkzgdS0oU4+bibFPT4/feRQf8sbEZVh/+Rq4QKR09ObiZf715U1zSrplyVz6mXly9tPReRWcOLj6KA3Stp/jA3spJm2hjX9KRJi9fQn7oQSBa6LsSpuDKb6hnnL1fDv95JPSykJJY1oQW5hKGVLvgYOjLOiUwazqacUDtBk+pWoc+nn6HsUEsJoS39apNFvc40ZORIGpG9jaDB/TpTI4f69M3ZnG9LEbKWPG1MyGXyqZw2+Ne0b0gtqjPyd8oppVb8WFc8PkRLZy2iLWfDKHvUSI+gPya1ILdvjlO0+olR1C8DyFoqJbMGA2ju6nXkM7Uf9fx6CY1zlZHYqBZ1m7eO9gREafltqFN+a6PJj9P4mp01J5tyiM6SDR9Hh0Y5klQiJbFpDXLvPoSGDuhKbTuNoB/OR1Le3kkOWEytqttQvTH789U7Swr+iQY2dKXuc9bRpmUTqF1TT5pxIFRDDSmeXl/aSUu9+lB9MymJJTJy9JhMi9af1OBfNJ1d3Jlq1GhHUzYeoIN7ltHIdm1pzM67lJzPOImCNw+mBg170Ox1m8n3qw7UxMOLDoTm9oCjZz/3JwfjzAsE6zpNqHGDhtRqqC+diCioYm5x2s0kI+wP8u7kQpamFuTgNph8zkaS/OZCalGzBQ2cu43OhL4r8VpqJV71WY0Mur+sHbVZ9oA0XQ6UN8oq2VByAC1qbUdW9cfQb3mEUXxdEFFSMG0e5EoNus+htZuW0Vftm1JHr98pO9S4cPIbkKXXAjaj+rPoslrjPEWdW0KdatakNlM30f6De8h3VHv6YuxOupNPRMWJdZ7iDo0iByMpiSVm5OjenQYNG0hftutMw3+8QJGahtSMMDo0szM5WZlRFQd3Guh7liLlN+m7FrWo+aC5tPVsKL37SGFom2wERPkntlNTU2FhaYXevXvj1//9UjK3UOkn8FX9Tah77jim2Zf/EgIxMbFwrFEDw4cNw9atW0q2ceUb3A+8igdRqSCDyrB1bozGLhYo6o5ZI+mvcTvgBp6rbODashnsjUrGxZQXQQi4+QJycTU0bOGOGiYFz7imv76NSzeeQ2XjilbN7JHfBQ7xjwJxJSQanJE1ajdqhvpWRZ9t0e2WDdY2VeHs7Iy/Lpwv+ca5R1g5bA2qr9uGgQXUpStPXL16FR6enbB48SLMmjmzrN3JQStdpOP17QDceK6CjWtLNCs5ESHo8j94nvYZbBu2gHsNkwKfWxQd60rE3r+Kaw9eI4UMUdnWGY0bO8PygwaNksHf3x9Dhg7D5s2bMGrkyCLt2Wq0skDfHPXa9US9kmjL0Aaunr3gWhJt5UJq54Yv7YpXMNXQxhWdehXmgR7MnNugp7N2PhTd7qcGh6d7d+LdkO/hXQESTblGK10YwsbVEyUealI7uHWxQ3FUVHSs68OiXlv0LJFBo2xgEc1glBMSArfhN4zG/B7WTJiMT45SjGkqohoRg/HfJTnYD5vvN8KUkfUghhLRgecQVMCKTAajIlI6yYZ7haA/L+BBQjgC//wboYmlclQGo0KQfns9BvT1xuoFPVHL3AJVqljBZV4wjAp5TsZgVDRK55mNXjW4DVmLq0PWlsrhGIyKhKHrNJyKmFbWbjAYOoVdOjEYDAZD57Bkw2AwGAydw5INg8FgMHQOSzYMBoPB0Dks2TAYDAZD5xS6Gi0oKAiDhwwtLV/KFQqFAgBw8dKl/2wfMDSTlpaGJ0+esLgA8DY+HgBw4MABBAffLmNvGKVJVNRrAEBiYvHK7xdaG43BYDAYjMKYO3cuvlswv0i7Qu9sevTogd1+u0rMqYpETEwsnF1cMGTwYGzatLGs3WGUI+zsHeDk5IQzp0+VtStlzrVr19C1W3csWDAfXjNmlLU7jFLk2LFjGDlqNGxtNf1yan4KTTYikQgGBgYl4lhF4/15/5f7gKEZgUAAoVDI4gKAvn7mL0nq6emx/viPUalSJa3s2QIBBoPBYOgclmwYDAaDoXNYsmEwGAyGzim9H09Lfozje47gsb49mnn0xhcObH6X8V+Hxwv/H7DqzGvw7z/Ss0eP+d7obMmuAxmfFqWSbLgXRzBr8l5UmfcT5rUyZ7dTDAYAcI9x2P8RJHUaw9JAAPDPcOyPOAxhPy3A+ATRfbJRBGPl6IWIGXcaq1miYTCyUSUS2i3agwZ2IgCA8tp3uBzniabspp/xCaLjsV+F6IMrsCXBAwPsg3HgN3/8E6XU7SEZjAqC0KxedqIBlLh98iFqdWkGlmsYnyI6TjbJuHjyClRWn0GeVhkm0XsxvO1I7A7ni961WKjwNuQY9h0LwVv2C7qMiozyLk4+rIkv3Uow1aje4u6x33As5C2YPBhljW6n0fhYvIrKQK3uIzGgYy2I2lng0fFW2L7vIUYtqJ9l8wJnd+zFhX+CcT8qDSoCBEIJrF0+h5N7X8zo41Kwk8obWDliODZEOGLametY5q6v09MpLZRpqSBDCQyKfSnAg+dFEImKtgQAcEoohfrQL+FLDU6phFBfv4grGB4KBWBgUBxntbGt2HAhp/CgRld8myfX8C/OYcfeC7h56z6i5CoQBBCKreHyuROa952OPnULlrDyxiqMGLYREY5TcTbIF5+IPLRAS12Ag1IphL62wlCmIZUMIdEoWC184HnwIhG0inYuDclyIcRGhtrtVwboNtmITGBWWQ+kyiq/JqqOek6m+F9qSi4bO3hO/BYdo/dgQKNvcCpJD/VnnMHvS5tBWlT7+vUwYNp4vH3ggv71KrKSkvH42HZs+jUArw2qobaTO3qNHwp38yKCPv0pjiz/DhsDFTA1luMtNcTEHxaifx2xZvuUpzi5Yw1W7XiOrkeOw7t2QeHJ4f72SZh7JDJnlRQEkLhPx86FHjDJ1+wpbF+9GjtefAn/417Q1KzqTSB+mr8Ym47dxMtkgsS6ATzHfAtf786wy/vVpT7Arwtm4YffryEikSC1bYq+s1bgxzGuMCq8RyooHEJO3Yd9l9n5ptBEdh6Y+G0H9NwzEI2+Po0kvXrwOnsAS5sVqQ7o1+uPaV+9xQOXfqgY8lDg+pqxWHq+gDsxgQzt5u/B7BZFnIy2ukAKnp7agdWrduJ518M44VW7yIE7+fExbNu0FwGv9VGtjhPce47HCHfzD/Ih/ekRLF+wGVcUppDJ34JcJ+CHhf1QoLvvUb3C/tHtMSGoMw7d2wCP8j7/ShpISUkhsURKQ4cN1/RnLeDpxY5eVHvgrxTDExEl0aFRbjTpVFJ+U8V1+tZVRmKpPY07Jv/I43480dExJJZIacKEiTo9Dh8XSKv6OJO16yjaGhRLfHF35MJoz6DaVK3LGrqbSkSkoEebu5Gd0zD6NZzLYyynkIPLyWuwO1UzkpJY1o5Whua1yUX8YRrtaExiiTRnk9rTiINxeZq9RweXe9Mgt+oklUjJuO0q0ths6g3y+cKazJ3aUt/hI2lAp4ZkYywlscSEXMb+QZG5T5qLoL0jW1DLQV60dMUPNH9MG7KTSUlsXJvGHtaif3SIlbUNtWvfoeQazLhDS/t704VCwl5xfT41NJaSxG48lQN5ZBMYGEhiiZRWrFz58Y0lnaAJNfPEXe7NvCfteF1EBGilCyJ5yCFa5j2E3GyNSSwxoTarQqkQZRDxcRS4ui/VsWlEI7cGUawmd7TwgQv7hQbWqk6d14RQpukj2tzNnuoM3Usa3M29Jz3/ZRA5SKUkrTWFzqYX2is64ciRIySWSMlv9+5i2es42RCR4jHtHtebJu+4QH/vW0JfLzlJGuMl4w4tcTMhsVEtmnymDHouD6WRbLhIf5rS1JJMG0+jE1HaDKM8vfDrR1VlzjTlfGrOx6l/01QXE6rWz4/+1SiCcFrb0aSIZJNB91d40hez/OnmrVt06/125xnFFrALF76OOsgKSjY8Re4aQu2nHaGI7K81nSIOT6GmZlISG9cn74D0bNu4o4toxp7HlDOeyilkRUcyl0jJfMCv9LaorikFSjrZZIT4Un+vC1RYDsm48z01k0lJWvNrOl328simJJNN/IFx1HrYBroQGkdytTiS0/mpzmTZfbv6hUk+PlAXxFH4Og8yLirZcJHkP7UpmZs1oSknogq48NHCB/4F7eprS8ZO00jN9K/p5CyrTn39/i3w4ooL20n93JpTU3vjCpNsdL8SWb8ORu7Yh0VfVIFZi2lYv7ALrNn6ZyD9LtaMnAS/F/Ux1+9HfGmlRadwd7Bry3m8M3ZHe/dc99riZvBsWRkJ57Zg1x0u/34iC1hWKWLmNOEUNvrb4JuZ3dCkUSM0er81qAHzAuYWRBaWKLjZRFx+URc+P/SEffZtvgHsey3DkgE2EPIv8c+NF1nTdULI2nnDZ0QdGGbvb4i6A3vBVbuafxUKoWU/fD/7i1zn/B9EFYu//m2CzTunoH1tMxjmjjVFEI6dT0DTbl1QqEw+VBcQwcKiShHPFNJxZ+0oTPD7F/Xn+mHll1aan01q4QN3xw9bzr+DcfO2UDN164hWpgk4t8UPGt3lQrHdezfM536LNkaCQr0uT5TSsG8Ii9qfo76drEQfYqU+D8DuJWPRsfFQ7IquSOttONzf5I0V11LhOGoRvq6v3WQr9/AkTodyEFWvhVpquxrA2dkRIu4Jzpx8pGFPAUTCwr4BHo93b8Chhxfwff/+mOy7F9dfF2OpukCEgpuVofe3s9E830gqRbMmLtCDAPqVDPBeMnpSI+SdqiaeAy8wR6e+HpAV7U2FQ2hRG06WJf34NBXPL+3BkrGeaDTED1HlXR5CC/SbOQGapKC4fhTn4pug+5c2hQ5YH64LQCASFjo2cfc3wWvFNaQ6jsSSyfUKXJ5efB84PDhxGqGcCHa1aqu3Z+AMJwcRuNAzOPkob7ZR4uFPs7DPYSF8ulRGxUk1Fbg2Gv/kKLbu2IoNG37HtfAEKMq7mHKTeArrt95EWqVGGDbGHXpvw3H72lX88zQexXkLKfH2bTzlAJGFDWzUxigRLKzMUQkcnt4L0d6vlEvY8vNNyJUJCL91FnuWT4RH0y8w3u8eUoreuwCE0NfXNJCqkJaWDhI5oKmbdSGByOGp/xkk9V2F5f0ssuw4PD66GnMGucPR1hb23TbgCQ8AKQje9z0meNaDbTU7NJhxDooP9rsiw+PJ0W3YsXUj1h+4hvB3CuT7hcQKgwI3T5xHXJPu6GJT+HClM10gEafWb8PNtEpoNGwM3PXeIvz2NVz95yni8wi2+D4k4vbtZ+AggoWNtfpdlcgC1uaVAO4ZQkLUlae4twHeh13gs8gDphoyDff4KFbNHQw3x+qo6tAN6zOFgZTgfVgyoRNcqtvCtqEXzpaBMCpsshHV7gHv75dgaIPSK+9WUrw7exAnY1QQWcsQvrI/ug+agClj+6Gdax183usHXIotLHNyePUyChwEkJhWxmd5/qon/gwGAkAZ/Vp7x6TtsT4kBi/vB+Dw1vkY5mYFvcQH2DetOwZuvF/CA/c7XL32AAbuIzGiSQGri/i3uO33NYZvSEO73o2QszhPD049vLF8/Vi4pLxDQqI8axpOikZDFmLDPA9IkhKQmKqswIPsxyBC7R5e+P77IaiA8lBHeQvHzsaicbcuqFroaKVDXbw7hwOnYqASWcMkbBX69RiM8VPGoU/7RqjVoDeWX3qTtXpOCx+4SLyK4gCBBJUr57OEWGwAAZSIfh2d83H6LayadQbNli1AmwJu8fWcemDmsvUYVzcF7xKSIM9aTiptNASLNsyDhyQJCYmpyCgDYVTYZAMAEEgh+awi3UgCgAK3r/6DJBLA1LEp+i/ajzNnz+FKyDX4DbJB1PllGD5pNyIKfO9VhdQUOQgCGBh+lv82WiDM/EzxgalBaABTe1d4DpuLbeeu4+SSDrASxOOi72xsf1pSL+MC/NN92H25Kr5aPBZ1NMxfcPf+hyk928Jz6j48jL2FTYPaodfaW0jN7aqRESQaIlhgZAxpRQsLHSCQSlDh5JEHZfBxnIl2RfcvqxYxWOlOF4rbV/FPEkFg6oCm/RfiwOkzuHDlLoJ2DYJN1Hn4jpiE3RG8dj6oUpAsJ0BggM80fEkCYeZnyvT3t06pCFrxLQJaLcec5kUsexdKIdUoDClkZSiMip1sIICgwokpDS9exEIFPTh3HYW2tlmztXp26OM7B51NgPjzW7DrdsETapqnpTJRZSjBEQD9EnixQmiG5t67sXN8beilXMMf/mEokXSjeo2DS39G+oQNmNtcotFEr/5wbDx+G0+C9mFh95r4TBWHgGVzse1xySW8Tx6BoELN6edHiTvHzyKqUXd0rVb0UKUrXaT9+wKxKkDPuRtGt7XNer6iB7s+PpibKVhs3nVbSx/0YVDgohcVMpQcCEClLKPkwB/wbVBHrJjVJN8zzYpCBUw2HNLTNS3RqCColFBmqADoQVZZpvYFCC07o1sLCcCH4+6dxAIa0IO5uRmEIKSny/NNEylSUqEAIKpiWUIOm6CN10S0EavwMjwCH9/zHML2zMRm4WzsmtsUmlPNe0So7NIdc349BJ/2Mgjkwbhw6c1He/BJw6WjIstDDWUIjp+JRKOuX6LoXKMrXaigUCihAqAnqwyZumDRpVsLSMAj/O4d7XzQM4e5qRCgdMjl+SyRnKIAIIK5pSWgDMKKGb9CWVWOYyt94eOTtf24D7feqUCpITi0whe+W85reW6lS4Wb0eXDd2P1JQ/MH21X1q58GEIjVDEVA1CCKG+QGaF2LRuIEIGMjIyCGoCVc22YCwPxJjYGiSrAMFsAPGJj46GCCI5OTiXnskVjNLLXQ4RU+pFXyiokBCzF9BNNsG73YDgUd2miqAaGjeuCH/4+BHlaatH2/1l4hO9eg4seczDGrrwXLyka7v4JnH7ZECO6VivGVbGudCGEcRVTiAEoSZUvgRjVqgUbERDBcdr5ILSCU21zCAPfIDYmCSoY5pwjH4vYeBUgcoSTkxTgnuNpRByCH65EsEYfb+HXH29BVPMbzJ/UUcvzKz1K4c6GR9SFVfiqZyd49p2BXbeTC7DjwKsAEA+VqoCnV6po+K+8DEmrarpythQwgGvjetBHBl48C89zpyCEoaE+BMIqcKxhWnALbu3R2lQAPjwUoWo5KQPhEa/AC63RqkODknNZJUeq0hTNWtbDx0zOpd79CZNWZWDqluloXHS1FTUMHexhoyeDvUPuK9OsmlOkgqaQyZ/Myx981F9Y+VUveHTqh2l+t1GQOsDxyJSH5nMFAFX0Uay8LEHrahU/0QAc7p84jecNu6KbbfHOR1e6MHBtgnr6QMbzMITluWsUfmYIA4EQVRwctfTBAO4dWsFUwCM8NBTqphF4/oqH0LoVOjTQB8S9sOPxczyPCFffnh3EWHsRhNbDsPdpOCL+XpDdhChTGJrHUqIyWTij82TDhx3F/if1MXWlL0ZaXMG8qZtwX+OLSm/w5i0P0DuE3otAunorSH4RiF1T+2P6Qxd4OmYFHyUhOZUASkNycvkfWDIRwa7PQLST8Qi9eCHPQgAlXr2MAWy7om/LrBdTuGjc9P8DF8PScsyMPDF6QA0IXgXh8tNcnck9xI1b8dBzGYxRrQt7RVC7YEu5fgRXTMdiapci3nIpZHBPu78DE+Y9woBNS+GhVvNNhZjz2/Dr3cIXfSeHPkGUdTcMaJcrS4lkqCwTQhUTiVfvd1clIPhcEKJUBGXW9Ee5hQ+D/4EnqD91BZaPtMCVedOwUaM4AO7NG2TK4wnuhafnaScZLwL9MLXfDDxw8USOPJKRSgClJqPCyOM93CMcPxWBhl92heZcwyHqpj8OXQxDtjI+WheaQ1hk1xuD2srAP7mIC3lW7ihfvkQMbNG1b0utfTDyHIUBNQR4df0y1E1v4J94PbgMHoFMUwMYmZnB3NxcfTM1yrxzElSCxNQcZpXfT0qLIDORQaiKQWRktjCQEHwO16NUIGV62bwqoqmsQImWq8lQUMb7/w1eQi3bLqf7Gbn+zr2gCzt+pLmDGpN5dh0kIzI2syRLK2uytLKiKpVlWZ+bkPvSu5RBRNzLv2nL3N7kLMv83KnnHPrpwr+F1zXSAt2Wq1FQyNrOZC2rR5NPxWeXpOBf/0aDazrTiAORWZ/x9HpnTzKXSMm48Xd0Q5HTAh99hMbVMaUGsy9TSpZt7InJ5GLWkKadiS+gzEU87eplSmKZGy0Ozsjztwx6uH04tWo7mBb+/oDeERERR9GX19DA9kNox4NC6mHE+1GvylIydltC+ZolopSQrdS3lhXVSj139AAAIABJREFU7TyMRowcmbONGEp9Ozch+3pT6ExWDanHB31o5sKtdCYsJXv/9Ig/aVJzd/rmeIz6efHRtKd/VZJIzOnz/vNo1TpfmtK3F329eDw1NJaStGZ3mrfuFwrQqhRQ0ZRcuZoMUuSIgxa3bEfL7qt3IPfiL9rx4zwa2MgyV506EzK1sM7Uh6UFmRhnfS5rTkvvZhARRy//2kpzetUlY4mUxDIX6jlnC134t6TUkUOJ1kbLRcY9X2pp4UnrCigQxr/eST0spCSWNaEFuYTxYbogivfrTSYSE2q2OJg0hDApQtaSp40JuUw+RfE5gqV9Q2pRnZG/q5XRKb4PPEUfGU+1K7vSrMtZ8c7H0olJ9ci0wQw6HV9E3Cqu0Kz6Mg3laniK+mUAWUulZNZgAM1dvY58pvajnl8voXGuMhIb1aJu89bRnoCowtsvgvJXGy0bBT3eMYuWXij4Cy9P6Lw2Gh9NZxd3pho12tGUjQfo4J5lNLJdWxqz8y4l5zJLDlhMrarbUL0x+/PVdUoK/okGNnSl7nPW0aZlE6hdU0+acSCU8qcFnl5f2klLvfpQfTMpiSUycvSYTIvWn8xlw9Gzn/uTQ1aBTOs6Tahxg4bUaqgvnYhQ5Gsxs9kourTTh2b0bkCmEimJjWtSx0mLaf3JsJxWw3dTf4dCiitKZFRv1uVMn/k4OjTKkaQSKYlNa5B79yE0dEBXattpBP1wPlLjhURG2B/k3cmFLE0tyMFtMPmcjST5zYXUomYLGjh3G50JfVfi8VbihTiJSPF4B81c+hcVNb6UN3STbDh6sLw1WXiso7CC8mNyAC1qbUdW9cfQb3mEUXxdEPFRAbRzqRf1/rwKiSVSMqrhSZMWbaAT+Q7MU9S5JdSpZk1qM3UT7T+4h3xHtacvxu6kO8n52y2+D0kUvHkwNWjYg2av20y+X3WgJh5edCC0GMXOCkw2RJQRRodmdiYnKzOq4uBOA33PUqT8Jn3XohY1HzSXtp4NpXcfGWvlM9nIH9HvsztTDVNbaunlTy8rgKBKq+pz8vPrdOLgATp0IpCeJXxAx8gjKfjMYfrzVBBFaCimrR0ZFPfwIh3Zv58OnbhEIVFlUF5YEUv3/jpC+/fupd8OnaQrD2IKLVBZFpRsspHTo99nk2dNM6ra0ov8K4I4cqGbZJNBYX//Rodvxnz4hUKJ6iIXyc/p+slDtP/QCQp8llC4f1r4II8MptOH/6STQRFUku7qkvKZbIiISE7Pj80gN4v65B1QwJVyOaK0kg2j4qGLOxv582M03c2S6s4MKNF2dY2uptEY5Z/yV/U5G0PY/Z+98w6L6uji8Lu7CEgXpNlQEXvsvRvF3sVu7Mbeu7FEQJPYjb0klmiMJZZYY0nsJYq9YMESFRAVVOouu3u+P0ClLAIKlnz7Pg+Pj3vnzpx7Z35z5s7MPbfJBAbUiuHJ0//KiwBGjGQM5m5NmDiwFjFPnn5sU4wYyRQ+7EudejVq88rUrvh/HUzdiBED6FHHmFGldsWPbYgRI5lCJr/UqSd4fW+aLYmlXquqOIU/RNPOl2GpRG81YuT/Af3j3+jVbAmxnq2o6hTOw9h2TB2a42ObZcRIppDJzkaJS9vZbCp2kycKJ9yLuJHts4tZYMRI5qB0bsOcjUW5+USJk3th3IziMPIfJvNbt8oWtxLl+UyDyxgxkomosHUrQXmjOIz8H2CczzJixIgRI5mO0dkYMWLEiJFMx+hsjBgxYsRIpvPWNZvHjx9z4ODBD2XLJ8XzsOcABAYG/t/eAyOG0Wq1PH/+3NgugGtXrwFw+3aA8X78n3Hp0iUg7dHVFWIgZWRkJE7OLhlrmREjRowY+c8xaNAgvv9uWqrp3vpkU6JECb7q3DnDjPqcCA8Px9vHh3LlytGubduPbY6RT4gJEyfi4uLCwAEDPrYpH527d++yaPFiGjRoQJ0vv/zY5hj5gFy+fJk1v/yCh0eBNKV/q7Nxd3enf/9+GWLY58bjxyF4+/hQpHDh/9t7YMQwPr6+uLi4GNsFcOLECRYtXkylShWN9+P/jO3bt7Pml1/iP9SWOsYNAkaMGDFiJNMxOhsjRowYMZLpGJ2NESNGjBjJdIzOxogRI0aMZDpGZ2PEiBEjRjKdDArEqeP+9u+Z+Wcgutc556XZNyNo4AxhZ9aweH8YJphSqktf6uVK2+4FI0b+c+ifcXr1Cv6OyoZNVChZKvekZzVHlKi5t3s2vksPc1+Zn0ZDJjG4lgtGpRj5r5AxTzZaf7Zuv46lWwE8Cnrg4a7A/+xTrOyU6O6voe+4G9QYOowRXloW9ZnDJU2GlGrEyGfH850TmHSrOkMHfE3/wTW5O2UsW0JBe2k50/c70GrESDoX8Gd2p54sDdClnqERI58JGfJko38h1J68mpJuceMwzcmJHH1aj/JmGs4sXcDlYjMobwGq/HUp/8KLxQf7sbihZUYUbcTIZ4SOZwEB3A0M4qUezBUmqNQRvIzV8kJTgSEzKlDIBKiSjTtHWnLygpr+7hYf22gjRjKEDHE2SofilHR49T8N53dfw6PhBMx0Dzlx+gGuTd3iCjLJQx7XMLafvgENyyTJRcetNYMZ/ttdtKmUp7CuzJBF31Df4TNfctJEESnmWJoZuA69Bo2YYvrO8yh6NBrBNC0Z6NSoMcMsg+dsdGo1mJmlbSook2z4tFCRt0kbiv44ko5TzBjjtIennSYwztkEC+cKvJYQWTGzKECRwqYG8oji3l/rWLn5KFcDI1Fly0nhsjWoV78KZod38qzd19S3/nBXlDHo0cRoMTE3TeNUixaNRomp6bvpX6/RIKamaZ6i1Go0KE3TatsbNFGRiLklhuSdLnQ6dCpVGuxNh+Y/Ahn/8TTNRXZfK0CjCWagC+HJM8HKxjr+RqkwN1MR+vSZgRO1PDx/mGvSnMnDm1Eyhw1ZFG+O6oO2MKTzD5yKsKaq9wxqf6aOJtx/B0sXrONIoCm5ChWmUvPedKnkGH9UT+jZn/l26mZuYYUqJIBHtjUY6PMt3ctmS1Nj14ee5ecp09h4C6xVIdx+ZEONAT54dy9LtkQZ6HlyfDHfTF7IH2ceEC6WuJasR49vfBjZwA1D3RzaqyzrO5atgQmmdxRWVB66jEmedvE/RHJl3URGfb+RE3dfIFa5Kd9qJDN/6EHpZJ1g+m3QXllG33HbeJTQBMvKDF0+kXp2Bk74xFB59OTnn29Sr3UnulX6ll0bvyDps4v25m4uuvdlbpEk8tSHsG+CFz3WZ8Fr7AhG9nZG++giBzfMou347jw3qcv8ll9/sGt5X3SPj7Jg4kz2htqTz8WCqKC7PHdpwTjvXlQ0qO8Ibu1ZzqyZK7jXeCu7hhdM+5qWPpSzP3szddNNsFIREhCITY3++E7pTtlshpUVcWsPy2bNYvn9RmzfOZyCqRYWjv+OZSxYe4RAs1wULFyJFr07UclRCepTzOrhy4EwvcEzFTa1mbBmFFUSNPqYW9v4bsJCjqntsY0ORUr34ftJXhRK0mDSrvmPjBggIiJCLCytpFPnrwwdfiuxZ6ZI61GHJUZEJPacfFvRSZquCIk/+lLWeDlJsZFHDJwZKb/37yo/BeqSH9IGyE+t8oqlpbW4Nlog12LTbVa6CQ5+LBaWVtKnT9+MyVD3VI7Pai2FcpSRrktOS4iBy3x50ldq5asiI/cHi05ERBskOwaUErucnvL9PxGpl/HypPjUzi+VR+2XoLgMJHDHQCmRLZfU+eEfSZhD5D9TpbqLsxSq6SWdu7aXeiVzibWllVjYFpeemx+JAfPk2dYekt/aSiws3/xZ5u0qm56+SqGVu792lcpVO8gwn+ny3Tc9pHpeO7GwtJUCPbcmu+b02/BMtvZwFyvLhDZYi1vXzfI0WdrMw8U1h9T+ss67nfz8uHz/9QTZfuo36VfOVfK1WCrXE7bn2Juycvg3st2ADp7v7icFbD2k57anSe5NtFxd0kryOrSQnz7kjRCR48ePi4WllUyfMSN9J4Yfl0lV8kq1ySck7NVvusfyR5/ikrPOdDkXkzh59KXNMm1ER6mY20YsLO2k5swbok1zYS/lpM+Xkq/yKNkXHHfntEE7ZEBJe8lR9wdJJq3oy7LpuxHSvmIesbK0EptaM+VGKoXpnh6Xma2KiGvpbrLkdEiytvtyV19xT6KdhH/Zmy2XhFWuDVgj7TzySIPZlyRSRER9XRY2ySuFOq2TOwltSYfmM5pt27aJhaWVrFy1Kk3pM9jZxIqfdxsZ8Vd0/P/DZH2HPFJ12lWJFRHRBsjsOjmk6fKg5KfqHsvKaYskIFmlxsqNxU0lp5WVWOZuJktSq/UMIkOdjfaRbB9cXhwdysmgXUEGO3JR+4l3ZQfJ0XGDPEv4+7PN8pWbjWSr4it+6rcVohY/7yqSLWcn+S1xBrKpS16xsq8qPq8y0D2SnzrUlcHb7sprTcfcla0DK4i9pZVYFx8pR5KIXWKvyg+etWTk9jPi5+f3+u/87ZDXotc9/UMmDV8t/tFvTou+NF2+dLISC6d28ktogvzewYbYK9Olbs1Rsv2MXwIbLsjtkA/TJl7x7s5GK9eme0qtqVckVkS0/26QzoWKyeC/Xl1oqByb7y0rL0UaODdG9g0sKFa2tWWGIQ3EXpVpddt9Js5GJ8GrvcTJroEs+DexGmIOD5citu7Sb0+0gfO0cmeup9ik09mo/Xyksn0u6ZBYGPJsUxfJY+0gVXz8xJC0tHfmSh3b1J2N9tF2GVTeWezLDpFdQQaHabKhZ03pNO8vufE0OrHd0QdlUGFXabosweBKd19+bp1bbAoPkQMJmkLkX0OliG0eab3y3/i06dB8JpBeZ5OxD1naq+y+nIdGlc3jf7DD06sO4RfPEaYHoi5zNbQmbRo7JT9XmZ2OI3qTP8mjqubaYob4HCKM7NT/dg69Un+W/cSI4cKcbvRZ+S9fjF3JjEYuBqfD1CfW8usVHXmLFcMm4QH7+rSsbYfm8mpW/BWZcjHqk/yy/go6t6IUS5wBDVrUwk5zmVUr/iIS4MUx/i3mzQ/N82L2KplZXlp8N4V2OZToHvhx+n7inVBhe+bzR84BjGpSjjJlyrz+K+Xu+HoqQ2lbm5E+XShk/uY882LtaFk6S3J7021DGHvm/0HOAaNoUq5MAhtK4u74ubQJIToqCoWJCgWgyt2MdrXsUSkAwjm3chFXyg6k2xcWoHnM8f2neZZ01kV7nl/m7uJh0o1qJgVpUKdgJsyLZwZ6HgbcJ0YfzIMHsYmOKJQqVBLFy3BDO/FUODllT+c1qjmxdj2XdW4USywM7Bu0oLadhkurf+KgAWmpnJzJnlphMReZ3bUfK+9/wdiVP9DIJbm69Y//5n65Bfw0uDYFHcwTTf2pT+3kQFg5mjR80y9oL6xk8YHn2FSuRaUEU2YWFetSzT6M/YtXckFL+jT/CZChzkZ7fReXcjeiSoLOxqH5t0x0/pPpa3eydvoOrEf50sHVULFKTE2T1Kz6Mj8O+Y6jL8CpsTezu+ZPMkerJeTiVmYPaUVlT29Oq8O5tH4cXlWL41G0Cl7eewn8yLtHtVcWMHz6SSLzd2VK/+JvOtZE6Ai6eJVAPSiUShSJjmWlRAkPVPoQjh+5nGI5uqCLXAnUg1KJMnEGZC1RAg+VnpATR7isAWxbMH5MZcyTZmJVnnJFTUBhiqlZgkx0/qyc9ztXD/jg5TWAqetOEWho+7qJFdZJFyBEh1anwKl+azxtE/yeTht0/quY+/s1Dvi0wav/NNaeCuTz20FvQqneoyl9ZgZzdxzn2PZlHMo+gIHVhfPz2tFq+Gy+aVaI7I5OODgXY+w5G+xeS8WMSs3qk0ul5faabtRqOoHfr4cnyrvk0LG0dUhSpP4Jp38ex1fNG1GrQnEKl/Wk8+TfufZReyAluQvkJasugDU+i7gY9ep3NZcPHOFB9vq0rJnV4JkKlTJ97x7pgrh4JRA9SpTJhUEJDxX6kBMcuWygNSlUKN9amJYrC0Yw/WQk+btNZsAXhtWtdG7NqL6GtK/m1I79PCvfhEY5Xrsaru7ayw2tCjePgonPMStC4XwqtDf+ZPd1bfo0/wmQoc5G6eyF9+gaiTsQVR685i1nRIW8VBy8kDkd8qdxZBLDudmDmX4yHIVLc6bN7IRboorX8+T4GpYuX8aClfu5GhzIYZ/ujN4RQ9G69SiqvMmeGf0Zt/UJhpfkPgQv2DNvKWeislCmcw8qmYRy5/xJTpy9xbMkDSBGrQb0hAQGJdmNp8Da2gIFOoIfPEq5qJgY1IA+JIigJNv5FNbWWCpAF/yQh1pAaUpSvw6APoootaDKV46KCQYEEYeW8tOZaDRhd/Dbt4ZpfepTrsbX/Hw5ItU7oL21nT9ftmbmtNY4J2xt6bIhgkNLfuZMtIawO378ueY7+tSrQPXeK7mUwASt/x/MHNuBivnzkDNfE+bdjBtpRJz7lSl96lM0T25ylxrOPnWqZmcayhzNmPXbLFq7mWH1RWem+bYjv8qc0kN2cy/sGU+fhPD0SQjPwp5ydEyRRB2rdZ1vWTaqEvbKWIKOzKNLtfI0GLqM40FxjUlpbpFYe/pAtg1qh8+9WkzduJtDJ//m57ZZODy7B406L+fmRxuIKXFqMZCuhbPw4ugUWrX9nmNPdIQcmMjAteYMWPoDLZ0yqmuKISZOGAQmE4YNNnHC4MHD1PbAGuDFHuYtOUNUljJ07lEJk9A7nD95grO3nqVtIKQ+w879TynXpCGvfQ0vOH/+NlpUOOVwTdxXqpxwdcwC2ttcuhSRds3H+PPHrLG0q+ROrlz5aDzvZtzL9xHnWDelL57F3MiZpzRD92euMDLW2TgVpLCzoR7EHJfCxfFwNOz5DRH1zwwGzz5LpDIHrb+fTrtcSU1V4li1BxNnDqCOvQL906s8rfYjO3+dg/eU2ayb0RZXxVOOHfT7eCPg5/vZsOcxepUrdgEz8WrWgd6DetHqyzJ4lGzJd4dfOUIVrnlzY4mexyePcCVRwxHCX0YikOSJJzEq13zktgT94xMcSZwBEv6SiNQyAHh+khNXzKjU9SvKJdgVY1VnDpdD7nP16BaWTOhERRcTXlxZz5Am7Zl/OaUGqiP0/Er6d5lPZO0WlHVMY1MzaIMVdeZe5Mm/lzm2dTETOlXExeQFV9YPpUn7BbwywaRwM0ZOm0evYhE8D3tJdHxnalWmI5N/HIen5UvCXkQSm7av2GYeKjvylihHqfz2hnf9pYTSnuoTdnBo3Wjq580K6kccXTGC+mWr0vGHP7mfpCpC/5jEaL+aeE+qTx4zQOVIlaEjaZEDnhycw8IjH9HrWtfA+5cZNM2lIPjQVFrWqYnXzGgGbt/J1LpOGdcxqVzJFycMTh65knggJy95kSZhGOb5vk3sfqxH5WrLnRltaNq+D4N6elG7dCFKtPiewyFvH+Zq/HayL6QMTRvlfHO92kc8DNKCwpJs2ZI+3ZlgYWGGAg3BgcFp17xJYZqNmMaPPYsS8fw5L2JeC4NOk+cx3tOSl2HPidJkrjA+pY1xb4g4wbTB8zgfrSJ3u+n80Mo1ZUMVlmQ1V6B0rELzL3O8HglkLVQQN6XwPCyMjzWAU58/wdmXgsI+H+XbTGLD3j85eOwip39uT46gA0zt0o9Vd+Oss/VsR1NXJVr/Vfiu8CfmVSa6IM5c+Bc9ShycDax1vcK2Lh2auKLU3mCl70/4v8mAoDMX+FcPSgcnnFKcFtBxa90qjubszZRehZJNVSjN7Mlb2pOvxi7hwOmdTKnjguLZYXzHLOdW0husvcyawc2pUX8I666F4LegAzVbzsEv1ambt9mgxMw+L6U9OzNu6T7+2fUtdV0UPDs0ldHLbr2pY6UVVpYGWovCClurd+tUPi3McW86kS2nj7NxQkuK2SmRl/5s92lLtca+HAl91cG94MDmvTx+cYpFA/rSp0/83+C1PC5QgYrl3TB5/vKjXolZkR6s3jSeSpYQdeciF24GcPdJVAbPRNji2b4Jrkot/qumsuKNMNAFneVCnDBwTlkYKaDm/ImzvBQF9vnL02byb/y5bz/HLp1kZfscBB2Yxlf9VnE3xc5Hw7md+wgu05RGORO0V30E4dECCjOyZk3eXhXx82WaGE06Na/E2srKQD+qwNrG8h3dbfr4BJ3NCw77DmHhFTUmeTsxa1rTxNMvyVCiNNS3ZMmCiQL0Ot1Hm0aL+vc+IXowKdKE7rVyx8+/muDWypexDezg2QEW/nw+LnG2RngvGkhpm1D2jW1E3Q6DGDGkB61b9Gb2kRD0WFK8TNG3lJaNRt4LGVTahtD9Y2lYtyMDRw6le+sW9JpzlBA9WBYvQ7EUHi71gZvx/klN3/ljqJxKcAelQ2VGrl5O74ImRJzYwrakYVVMvqDLjzu5eOM0v01qSoGsep4e+Y7Ry/zfmm/abVDiUHkEq5f3oqBJBCe2bOf/LrKLpQeNx67hhN+fzO1WBnulntBTM+kz+QDhANp/uXknEoVHa6YtXsLSpa/+fmbjrv38dXAPs1o6plZKpqJ7uIsJw/+k2Nxf8amfE0XIUb5r24QhOwIzVLPZGnmzaGBpbEL3M6aRJ+0HjmRwDy+a957NkThhUCYlYaRIFPfvh6DHhCKNu1Erd/z5Jm60mjqGOHkv5ufzKcyraC6w888gyjRpROJJG1PMDOyniUNPrEaLAFnMsvC+mv/QfHLOJuzAFAYv8Udj4k6X2T40NDj9oiYm5uOtxKQNPWq1Bj1gYpsN20TrFc40bFIFS3TcuXjh1Y84e07l4Kk9LPu2O7U8cuBeoy/z5rfGNVqPwrYGTepke2uJSmdPph04yZ/LJtO9lgc58teg37z5eLlEo1fYUqNJXQzmoA1g1YhFKMesYGz5NIYRsqvBiH41sNA/4O5dw/PdqmxFaDr6F7b41MZWEc25g0dSzu8dbLCrOZz+NSzQP7jLnXeYcv+80HJt1VL2vEj8q4lzJXov2MW28ZWwVuh4sGsrR2MAYtFqQXfz8iezQJyIiJP4tu/DkUpT+b5DU4av383yTh6YR11nZb++LEv2uPweKJ2oN20/p/cu5dtutSiY052afeeyoLUr0XoFtjUaU/ft0kqOXoMmVg+YYJvNlsTybkCTKpagu8PFCy8Mnq65tIu9j0rTpHGuxJ2wiSOO9kqQGKKjk05rqQmPUAMqHJ2d48t6R81/BDLM2eiC/mLG1y3wrO/FkJXnebNPRk/YmVVMmzaH6dMWsi/Zns036J/sYcKwldzWZqFgrzn41LM3aKD26lLmbDdciZ8OSmyy28e9HS56kjYbaw8PcqhAtIl7SbPcVek0dCK+3uPo37oMLzau5WikCfk79KfV2x/xXmVA1Y5DmeQ7hfH9W1HmxUbWHIvEJH97BrQ0MBeuD+OI9zB2l5/Nwg750rHTR4lT2TLkNbHA8q3TUyrcO/eiUXYF+ugU5tHe1QalE2XLuGFiYYn15zJDpgvi4Mw+NK/XgNZDV3I+PHkSrf8Ken+9IskCvp6oe7vZfcLQpgwryg7oQ10bQKOOW6NU5iJPjizoH/3B8s0Pkz0p6O5t4de/U9/gkTnouLPSm/lXCuL1Vbk4jZjmp+3Czcxp6ori+RGWrcrotVYzclftyLBJPniP60frMi/Z8MsxIk3y06F/y1RmTwygtCa7fdzWS5Fk6qagRw5UCLGxscnPRcuVnXt5ULoxjZOuRStdKFzQEaVEEPL4ZeJ604UQ8kwPKjcKF7ZKcGnp1PxHImPs0AWwfcNNvhg8ne+6OnFs3BDmxy9YpTnqsz6EnRNG8stdLaZFvmbe5NoYjj4Sycm1p9DkTzD6/dgLvilgVrocxU0h9l4AAUlG3sqs5pgplGTPlz/F8/WBm5i65Dy6PO2ZOroa6Q5dqg9k47SlnNfloYPvGKonyyCSCwsHMFM7mMVDy2JlKI+3ZR8dica+PNWKp7LMbZ6fvK4m2ObNZ+Dg+9igJzoqFvsKVUlogkqlAgS93kDDEPmIzUVHwPYN3PxiMDOmdcHp2HgGLbiaOInmKksnzmTn5WCSDWz1QWxbsBp/A/rRh4fyQqPApnItKpoCyuzUbVIVG3nKzjFd+GbXfV5tB9A9O8GsUVt4ltPw9uLMR43f6QvEZM1F/oSfGzHJT+dZY6lrreN+QACGuumMQU/gpmksPa8jT3sfxiQXRhowo3TZ4pgSy/3bd5LsIFVibm6KQpmd/O72yU/VXmXX3vuUatSY3MlGVmZUqlMNe4WOOzduJL4HsXe591CH0rUadUqmoLm3af5VfDW9YQ0k85kZTMY4G5UbTQb2pUHxgpRr25tmBUxQKABeRX2ulyDq808sTvYGlZ6gLWMZsf5fdGbFGThvAjUMBRPUhXJp7QiG/ioU8Ii/2downkcIEh1JZIKbJdHRqAUkMpwXH2nGTeXWkva1bNHdPMTBJCuFmgcPeExuGreuavhkzXWW9R/PTnV5Rv88naZJtoJqg8+wffNhAqIMnw4ari8bwPidasqP/okZTR2TVHYUV5b3Y9z1NizwqUui2Up9CPuXrOPCW4eWEZzadgz7XoNpaPu2dED4DW4Gu9K0be0kB97ThojTbD1qT6/BDXljggpbO1uU+sc8evTqZD1h5/ZzKkiPaGJQf7QZWBVuTQbSr34xCpZry9dNC2CiSPhIFsOFZWuIqVWX7AaVKbw4PJGmrSey9tRDXlV9zL9/8UPf6Ryza4i3T3vidowryfOVLxO+zI7ixRl+bF+WIuXrUt+zGsVLtGdv2aH0/GgvSKtwcrJHoQ7l6cvElaHMXpTCLllwzpnrra9IpNQxpq4L0FxfTv/xO4kpP4qVM5qS6i5rg4WpcGvVjtq2Om4cOphkI4CGhw8eQ+7GtK6a7E0ytNd3suduKRo3yW3wKd66Xjfauit4eOootxJ4Me21fzj7zISiHbpQPXm2pKZ5lZ0dtko9wQ8fvn5q1IedY9/pYPSiISZ4bDypAAAgAElEQVSzhWEorMD7xEZT+y+XkT5/yTOdiGgDZNaXTvLlnID4EA0vZY2Xs5Sf7Jf4pJc7pU8Bm7g4Qfa5pUCRolI42V8hyeeaTSwsrcSm/GQ5GysScXGT+PasJq5WVmJh5SY1+k6VNacey5VtM2Rks6JiY2klFvalxOub5XLYYBiJlMmocDXqS3OkXg47Kdp/T9w9ERHRBcqvHT2kUNeN8siQWRHX5JeeZcSlUCuZeeJZ8vA2ukBZ0cxZLCztpMyEfwxlIFfX9pJSroWl5awTb8pNcPzi4jZSwPkLqd+pq3Tp+ubvq45tpH7ZfFJs4L64mEyx12RZ5xpSs/1k2Xjledzp2sdydHYHqd1huVxNEFJG7b9ZfEZNlsX7At7EZIq5K7/3qyIVB+6UYN272RB7bZl0ql5b2k3aJK9NCD4qs9rXkfbLr0niqDY6CVrTVlytrMShZFsZO2uu+A72kuYDpkiv0rZiYe0hTcbNldVHDIRMSiPvFRvtFWp/WT7KVw4mqJzIM/NkzOIr8vLvYVK8io9cSBQDUC1nfHvIoEUrZPbE/uL1ZVkp5FFIChYqIPk8yknDvrPlz/sGQpNEXJNNEztI1YI5xM42u+Qu2VAGLD1toE28G+8aGy320gyp5ewktaZfTlR/6svfS023ujLjkuEwK89WthQ7Szup8O05SRYiMVVdiERcXSs9S+eQgi1nyYnUbsKzldIim5XYVJwi5wzGY1TLpTkNxNW2uPTf80anusD10qFAEemywVB8v1i5PLWaOHrOSxzjLPGFSPC23lIwW2kZdTReSboQ2dWvuNiXHCZ7DdqdmuZFdMFrxCuHtVhkLyVe42bJnKlDpHXzgfJtrzJibWkj7k3Hy5w1R8RQeEpDfMTYaNFyfeNoqVfAQXJWHS7bH+hE1CdlbElHafbTq0CckbKxUw5xH7AvHfl+HDIuNppOgvZPkfoFCkjNwQvkt02rZWq3L6VGzxVyITxBMvUzuXPhiGxZOFbaVa8kDQYskRPBKbXGcDkyuYbkdi0h3df/+yoDeXbnghzeskjGtK8hFRsOlMUnHhuIH6WVO6vaSb63BAW0sCkhI4/GdwHa2/KTV/74AJk5pWDZclKiZA3p6Ltb7ibqD3TydHO3+HwdJH+lptK+cztpVLuBfPXDQXmkfXcbtLd/ktb5bOMGGjkKS5lypaRE9c7iu/uuwZhWEhsgm0c2kMIuDpI9XyVpN3WfPIo+IxOreEjl9mNlyb4b8vw9Otv3dTbR1zfJqPoeki1XNRm2/UHcj+EnZda4n+R6rEiMQWfzafLOgThFK//uGC91C30hjUcvlo07d8jGReOkTd1WMmnPo2TtVhd0RFb4DJeWJbKLhaWVWLvXk36Tf5RdiYIpGtKFiPrZHTl/eIssHNtBqlVsKAMWn5AUpRVXmBxe4SvDWpYUe0srsbApIHX7fSvzdgcYSBss+75tIO7utWXQ/A2yafU06Vq7lvRYcVHCk6cW0V6TadVcpO7cgFRiu72Ucws7SMlSzWT03IUy9es6Us5zuGy4kcg1p1Hzr4iVgM0jpV4RV8nmmF8qtp8qfz6KljMTq4p75Q4yZsk+uZEOYXzkQJwi0fd2yNCKznGRndMV9fnTIsOjPoffk1O7N8tvm3fJ8dthyUY8uhA/+ePXjbLtwFm59/wdAkvqQsTvj/WyYdtBOXvveToi4qaB2Kdy7e9t8tv632XXocsSaChGooiIqOXx5b9l22/rZO3632XXsWsSnGLa9JpwTf7etkHWb94lhy4FSQZl+05kyJNN9D3ZMaySOBYfKSIv5eiUnjJ+80k5ffq0HF/+lXiUHiC/nQmQ0Ax6Asks3t3ZxBMZKOcPbpMN6zfK9r+vSFDSALDvjU5C/P6QXzdskwNn78m7SCsthN87Jbs2bZDNu47L7bC3VFpsgPz961Y5E5y2io1+dE72bt0iu0/flZdJD2am5tNAep1NhsftM3drwsSBtdhx4CmYfEGh/ObsD3mCFkdMdE94GmZC/voeGV3sp4+VGxUbulExhcNKxzI07ZD0g3LpQOlImabteY8cUsbEgSK1mlMk1YSmOBWvRfPimWFCEWo1T92CzwZzN5pMGECtHQdAF8qDsFAurZ7GJUCe3yYs2JRlcwqQd+XQuAX//yoWrpT6sjmlMq0AJY5lmvI+0koLVm4VaeSWkroTYJKfWh1S3hSUFPMcpanforThg5mp+UwgE4LE6lHHmFGldkVeRX3+buM5wvRFcXxb1GcjRv7P0KtjMK9SG1RudJizhQ7xv6sPDafcN/bMXj2Ukp9HGGcjRlIlQ5qy/vFv9Gq2hFjPVlR1CudhbDumDs0BxEd9PvwN09faUfLW26I+GzHyH0f/mPW9m7E4th6tqzgR/lBDe9+hH9sqI0Y+CBnibJTObZizsSg3nyhxci+MW7YE2cZHfa7mf5vwhgvpnI5gnEaM/KdQOtN29kaK3nyC0smdIm7ZDArQrNZsLh//4NYZMZKpZNBDugpbtxKUd0vpeFzUZ5eMKcyIkc8Wla0bJVMWihEj/1mM81lGjBgxYiTTMTobI0aMGDGS6RidjREjRowYyXSMzsaIESNGjGQ6RmdjxIgRI0YyHYVI8pCmkZGRODm7YGVlhaur68ew66Oj1Wq5e/cuNjY2OMd/qMiIEYCAgABMTU3JnTv3xzbloxMdHc3Dhw9xcHDA3t5AOH0j/1kiIiIICgpi8uTJjB41MtX0b936LCJotf/5TyAaRKeLixmu1+v/b++BEcNIXExBY7vAqJP/Z17VfVp5q7OpV68ea39Z814Gfa48fhxCfnd3WrZowZIliz+2OUY+IVxz5KRIkSL8dfDAxzblo3PixAk869VnyJDBjBqZ+ujWyH+H7du307FTZ5ycHNOU3rhmY8SIESNGMh2jszFixIgRI5mO0dkYMWLEiJFMx+hsjBgxYsRIpvPugTgjbrFnxQJO5BrLFC/XBF4rhnMrJ/PTmQhEkYUCrSYytI4Dsfd2M8t3GYf+VeLeaAiTBtXEVZURl2DEyKeKmnu7Z+O79DD3lflpNGQSg2u5oALQh3FmzRL2hZlAllJ07edJroR6CPdn5+pt+JvmpYJnS2rkM0ZLN/J5845PNhEEXDrPgc0bOPVITcIXdfSBv/ProVhs7GyxzZaPooXsUGovsWz6ARxajWBUZ3euz+5Ez6UBpG/jnBEjnxfaS8uZvt+BViNG0rmAP7M79WRpgA7QcX9Nf8beqM6wYcNpo1vE13Muo3l13v1tDGs/kYulejL86/ZGR2PkP8E7PtlY4V6lGbWLfMPlRL+rObNsF1H1RjHRqzSu8RrRP9NQcch0KhQyASpjH3CE5qcuou7vjsX72Z9mou4fZbd/dprWL4JRukYyHz0vNBUYMqMChUyAKtm4c6QlJy+o6Z/7EkvmX6bYjPJYoCJ/nfK89FrMgX6LaGRyjhndJ/G4115mVXPM0HnuiLtH2HPLkWb1jBow8uF5r+/ZKBQKFAl/iDrH3xdus3/pl2yYWpuRi5YyppYjSodyVHB4k8zc3JICRQqT2qfVNcFn2bl5F4cu3ODRk0h05g64fVGZ+i1aUa+4GUfW7SV/ey/ypjgdpyfk7HoW/7iE1TsuEFZrPneMzsbIB0GJQ7kKvGn2WTGzKECRwqboHp7k9ANXmuaNk5+JWx5cwrbzzw0NZa5NZ3GYJz/mPceG9WfwqNWQcq4JlaLFf8dCNh86x1n/J6jjpxUUChUmZlbYOeehSMX6tPX6EncrAB3/HlzIrAVr+P3vG0TWnk9do7Mx8hHI2A0CFpUZu+0fbt06xYpmz1nUfRC/PNAnTqO9xe6L7vTrXjhlT6cN5OB37Shbqjm+x3V80XIw3nMXsuiHkbT7Qstf4xtQurInA+f9w4PU5uJsv6BB9dxgfLnZyEdEe3M3F9370r2ICbqQJzwTS2yt40dJKnPMVGE8ffaCQ7uPoXfJSnRUNuyC1/FVra6supOwkZtQuOkQJkyfTO3Y0xw5cpy7Ds0ZOcWbiYNa8YX6MD8Oak6Fih1ZfDESUGFfphPjelfEWm/IMiNGPgwZ9KXOJFgVouW0NYTdqs2Ov8Lo2vXV+E7LrXUreN7RmxEuKfg57R1+7d2CAVuiqPPDn6zuWxzLBIdz5C1KlaZeNBzXjPbrnvD0rQJS4uRRAgdlOdxUOwjLmKt7P7QaNEpTTDN6H+B75atHoxFMTdO6Y0OLRqPENLXC9Bo0YkrastWjidFiYm6ahhGQDp1Ohepz2WCivcXan57TyWc4rkrQmpljrpA3a526GNRac8yzPOFhUCweTbvStq4HqtpOXN9ZjWW/XqPbhC8S56nKSWEPB5QnnmDrUYka5UpiQmnK16xJAWV1uvy2g7FdJ1H42CxqZ3PAolgRcqsg+ENfe1rQqVFjhlka61On06H6QJWv12gQU1MypzQtUeHRKC2sMU9DAdqocKKVFlinJfEnSOY4GwClKzWrFeVv0zdFhB1fynq6800z1xQ6lBj8pndn6Kb7OHZay9KvEzuaN3k7Usd7EUPOfEfoS8D87aYospiSRfH2NJlOxC12L5/NzOX3aLxtJyMKptxgtFeW0XfcNh4lGNAqLCszdPlE6tm9e75J0Yee5ecp09h4C6xVIdx+ZEONAT54dy9LNoMVFMGtPcuZNXMF9xpvZdfwggZEqCf07M98O3Uzt7BCFRLAI9saDPT5lu5lsyWrd93joyyYOJO9ofbkc7EgKuguz11aMM67FxUdkqSOucW27yYy/7gae5toQqUUfb+fRJtCH2rl710I4/iS36DbeJq5xl2PSb5C5Dffz+MQLTiaoHvylDCTfDQonB1VNhNEH++GVHkoXtieXyIjDOacxcRAJSmdaNyrNfk3zed2wGbWHPCmdgtLMM2SiWJ/F/Q8Ob6YbyYv5I8zDwgXS1xL1qPHNz6MbOBmYIo9hlvbvuebBcfR2NsQFSqU7vMdk9sUMrjumy4NJTMtlLM/ezN1002wUhESEIhNjf74TulO2UTCUHNqdk98DoRicMyrsKX2N6sZXcXQgoGeh7/1oFbf0zTcfIn5dd8+sal/uIFutftyusEmrsyvm3waVHuVZX3HsjUw4QVbUXnoMiZ5pnbBH4b3an8ikDhktAa1xgQzUyXon+IXXJw2na0BCD+3koVXyjCoT3Es0BB8/DD3C9dJ1KHoAn5mwo/niDQtz6hhjUja1yTCrCS9hjfkhFoHqY07kq4tfVBiuLx5Lqu2bGfjziuEKsvT6K3pQ9k5Zzob/n6coAErcPTqSdlEbSa9+SYh/BTTvDqxu9xStuysi4tSR9DOoTTo0oI2z7awfXT5RI4+5vLvzFm9he0bd3I5VEn5FAoLP/UdrTvuptyyLeyq64xSF8zOIQ35qnk7nm7dypjyCXKNOIF3qy785fkrO5ZVxg5AH8KO/nVo3e4FO3aNovQrVenusKZ7E7550ZddfwyjhIUG/0WtadCiD5rdq+iU71Mc7YVzbuUirpQdSJ8vLEDzmOOH71G4Tl3a1P2eDefD0BdzJOryVUJrtqGxU3ZiG1Xg+wNneKYviJNSQ3iULZWbFk9XqSb58pFbCbd14YSERKA3PGT7qESd+Z7WXj8SUqg6ni1LEnLhGCfPb2Vq+/Pc+elPlrXOkWBgouPOLz1o9M1z+u3azvAvLND4L6ZVw5b0jt3Fmo75kvQAadWQIcI5Na0NHXeXZenWnXg6K9EF72RIg640a/uMbdtG87oJhx9k1eIdHApKYXrFog6t8xnuYnX31zFi/DaC9GmIqq+7z9qR49kWpCel1KE7Z/PDxkMEJzBF4dianmU+DUcDgBggIiJCLCytpFPnrwwdFpFYeXBqnQyunF3c286Sff7PRUQkfMfX4p6/pnQb+61M/sZXVp4JExGR6HNzpUHebGKX3VEcsjuKg0M2yVb9e7mqTZyn3+TyYmNpJTZVp8rl2BSKThW13N83W/q1bCD1mzSROrUby9eTektlWyuxa7FSQtOYS3DwY7GwtJI+ffq+qyGJ0d6ROXXtxMK2tsy4oU0xWeyV6VK35ijZfsZP/Pxe/V2Q2yEpnJPGfBOjFj/vKpItZyf57VnC35/Jpi55xcq+qvj4qQ0VJnfmeoqNpZ3UnHlDkpWm9hPvyg6So+MGSZztZvnKzUayVfGVN9nqJHi1lzjZNZAF/+oSZRNzeLgUsXWXfnuiX6e9v9JLctoWkUEHIt8kjPxbBhe1k1xeKyVJFpmKi2sOqf1lnVRSRcu5uQ3Fzc4+rs1ndxR7Owep9v010YqI9v5mGdRplKzasVYm9BwmvwbEN3i1v6zq1VL6Lz8of/86RQZM2S2BBq8tRg4OLiRWlnZSYcoFSSiX2Eu+UtnWSiys8kuf3XH3UBe4RBraxWng6bPTsmxQEylf2EMKVWgk/RYck+B3vH/Hjx8XC0srmT5jRtpP0j2SnzrUlcHb7krM68u5K1sHVhB7SyuxLj5SjsQkSH5/pbTOZSeFBh+UN7UfKX8NKSY2udvIz0kqP90aSoDaz0cq2+eSDomFIc82dZE81g5SxcdPXjXhZxt6SfXOP8rBG08lOlHW0XJgcBFxbrpMHhm6r9oAWdGmklSqkFesrAvKwP0xBhK9TiwBK9pKxUoVxM3aRgoM3C/JUsdelR88a8nI7WcSXK+fnL8dklyjGci2bdvEwtJKVq5alab07+hsUiJGHvv7id/VQIlIb+PVBsjsOnZiYWklrl22JGhU6Sv/2vI2UiBfQ/E9GiI6EdE9PS4+dXKKpeVHdjYSIb+2z56KUwiVP/pUk64b42zPuHyTEHNIhhaxEZsqyZ16+JZuksvKRtz77ZEIQ6X92kHsU3A2MX8Pk8LWdlJl6hVJnG24bOmWRyytPaTfnle5xsrZSeXFxqaUjDmeWD7qo6OkuI2rdNoYnzbWTyZXsBPL3N1layKjImVn73xiaVtBvvV759FJukmbs0kD0cFy/dJNCUnWe0TL4xsX5dK952/pLFJyNmFycFipuEFbqVFyOP5+vXI2tp4DZVi9clK9eVtpVqOoOFtbiYWlk1Qad1jC3uES3snZhG6Qyb4nJDrp7+F7pJ+HTZK2HCt+kyuIjVUe6Za48iVy59eS18pOyn/rl+D630VDr4iRv4cVFSvbquKbXBjSNbe1WBXoL7sjRET3WDbNWCKXDPmJmEMypKiLNFn6wIANseK/qKVU7bdVdowqIdapOJtY/8XSomp/2bpjlBS3MexsQv/oK1W7bZLHH3DAJZJ+Z5PBy9RmOBUqQ5mirlimN2ftIx4E6QElWS0tDE+M6UM5tWYqQ9tUo0ihQngULEzx2l2ZsOwoQXrQXp5P/28OkW/IfMbGv6OgdKjC8HFe5ProgXkUqJRvn+rR+a9i7u/XOODTBq/+01h7KvD1i37vk2+ycoIuciVQD0olyiTzi1lLlMBDpSfkxBEuGyhcoVKmMGmpI+jiVQL1oFAqk0xbZqVECQ9U+hCOH3n1ZpaS3AXyklUXwBqfRVyMepVWzeUDR3iQvT4ta2YFQHttN3tvaFHl8cAj0WS1GUWK5Eelvcmfu6+n6x58Epg7U/gLDxyTTcCb41SwBF+42aZhYVpP6NX97DhwjKP7NjLr68Z0Xn6bLPmb8cOqydRIMoOmfxROmXmHObJtA9sPn+HQotbkM4ni0pJJLL32gbZs2rZg/JjKyZdarcpTrqgJKEwxNYtvQdpr7Np7E60qDx6JKx+zIoXJp9Jy4889vDL93TQUjy6Ii1cC0aNEmVwYlPBQoQ85wZHLGlA64TWyD18YWGpRn/qD/c/K0bRRjmRrlJprixm5Pi+TfBuSLbW5fc11Fo1aT97JPjRMKbHOn5XzfufqAR+8vAYwdd0pAtN8wR+Wj94Fv0ahxESlAPRERUQa3qmstKdSl2+Yu6Q/JV4GEhgYQYm+P+L7dXVclVEcXLKMs+pC1PZ0SyRScw8P3D7FKf1ERHBoyc+cidYQdsePP9d8R596FajeeyWXDK8PvzsxMagBfUgQQUlutMLaGksF6IIf8jCdfU+MWg3oCQkMSlJ/CqytLVCgI/jBo/jflDi1GEjXwll4cXQKrdp+z7EnOkIOTGTgWnMGLP2Blk5xzfPF+fPc0oLKKQc5Ek2Bq3BycSQLWm5dvoTW/w9mju1Axfx5yJmvCfNuxi2WRpz7lSl96lM0T25ylxrOPnX6ruvTRoG5VVYi7/px7LQ/Ufna4rv2by6dWUffksnXalQFa9G48KsldQsKd5zBhMbZUGgu8fffQR/GZKUppoaWMvRRRKkFVb5yVIzfTMGL85y/rQWVEzkSVz4qJ1ccs4D29uV4jbyvhmKIiRMGgcmEYYNNnDB48FZhqDmz6wBPyzWlYY4k3av6MvNGbqWoz2Tq2afmadRc+nEEW4r68K2nfYprzhGHlvLTmWg0YXfw27eGaX3qU67G1/x8OcEFa/35Y9ZY2lVyJ1eufDSedzMuekvEOdZN6YtnMTdy5inN0P2ZK4xPx9mYuOORNwsAUbeuc/tt9WnlirOtEpS2OLvEj480Vzl6KgS90gEnxyQt+WPvREsTVtSZe5En/17m2NbFTOhUEReTF1xZP5Qm7RdwOQPbgco1H7ktQf/4BEeuJL7REv6SCOEd7pkK17y5sUTP45NHSJytEP4ykmTZWtfA+5cZNM2lIPjQVFrWqYnXzGgGbt/J1LpO8Y1Ty8MHQWhRYGmfjaxJSjWxyIqZAjTBgZgUbsbIafPoVSyC52EviY7fmGNVpiOTfxyHp+VLwl5EEpvsQ+ifMwos3KrRvvcQxk2cxMRxQ+jRvBw50vrWptKBqpWLYYKeJ8GPM9XSVHl+khNXzKjU9SvKxW/g0j56SJAWFJbZsE9W+VmxiKt8AoN1vLeGVK7kixMGJ49cSTxgkpe8SIswNH7s2BdC2SYNyZmod43Bb9Zo9pafysSatqneihi/WYzaW4HvJtTgbamt6szhcsh9rh7dwpIJnajoYsKLK+sZ0qQ9819dsElhmo2Yxo89ixLx/DkvYl4Lg06T5zHe05KXYc+J0mSuMD4dZ6N0pF7DClgAWv997Ln5trc1lSiV8f++qnsJI+ylgD6K8IjPNeqaEjP7vJT27My4pfv4Z9e31HVR8OzQVEYvu5VxseRs69KhiStK7Q1W+v6Ef8yrAzqCzlzgXz0oHZxwSufToK1nO5q6KtH6r8J3hT9vsg3izIV/0aPEwdkp0TlmRXqwetN4KllC1J2LXLgZwN0nUQl2EemJjIhGUGBmnjW51BXxU3bqeGEprbAyNIersMLW6rMYdXxglFhZW6BAQVbLj7lrTcetdas4mrM3U3oVej0zoY8IJ0pAYZYV8+SVH69/NerXHeX7aMgWz/ZNcFVq8V81lRVvhIEu6CwX4oSB81uEoTm3kz+DS9O0Uc5EnWvk6RmMPVKNH8ZUxiq1WxF5munjjlL9+9FUTjUxKM3syVvak6/GLuHA6Z1MqeOC4tlhfMcs59brC1ZibWVloMNXYG1j+UHG45+Os0GFW8cRdHI3gdgLrF64n+fpOt0ZFwcl6G5w9swLw2lE+HwGtUocKo9g9fJeFDSJ4MSW7QRkmLfJRiPvhQwqbUPo/rE0rNuRgSOH0r11C3rNOUqIHiyLl6FYemOaZGuE96KBlLYJZd/YRtTtMIgRQ3rQukVvZh8JQY8lxcsUTXSK7uEuJgz/k2Jzf8Wnfk4UIUf5rm0ThuwIfO1wTA3OucShj9WgFcA0teBHRgyjIzj4CXqlM6XL5/toVugDN+P9k5q+88dQOaHPMzUjS4onadHEVT6mBl+kS7+GsjXyZtHA0tiE7mdMI0/aDxzJ4B5eNO89myNxwqBMisLQcGHnPoLKNKVxwkXi8ON8980pPKePpFyqr4SFc/y7CZzy/IFRqSdOhtKhMiNXL6d3QRMiTmxhW8Z1Gu/NJ+RsANsvmbJoBOVshH/XjWb01odpH82bFKFeHXdMJJS9Py7gVHiCY3o9AogmhqjPLGSHXc3h9K9hgf7BXe5k4Pqt0tmTaQdO8ueyyXSv5UGO/DXoN28+Xi7R6BW21GhSl2zpzxVnz6kcPLWHZd92p5ZHDtxr9GXe/Na4RutR2NagSZ0EuUacxLd9H45Umsr3HZoyfP1ulnfywDzqOiv79WXZLR1ggqOjA0qEmJjoZIMFdUQkakCV3fl9bsdniVYX15hF3qNR6wLYe8Afs3K9+LpmKm9HZxbaAFaNWIRyzArGlk/8dGXi6Ii9EiQmmphklR9OZFzl4+yc8tNGujSkdKLetP2c3ruUb7vVomBOd2r2ncuC1q5E6xXY1mhM3ZSEobnEzj8fUaZxowQbkjScnj6MtZpcRP8xE1/fqfF/01nn9xy9RHJx0wx8py1h/0MdmtMzGLpOQ66oHcx4nXYqP6w7x3O9EHlpM9N9p7H4wMOUr8GuBiP61cBC/4C7dz+dOF2f1kvFgG3V8WzZbMWAvt/xa+/GPL8+hUl9m1Lc/lVjiuLBP6e5HSFgYol11lcjGlPKD/Gl297OrLgwi3ZNnzBycDMKaK+z97fVXNeC9uIGps1Q0MSrN43cP/kdA3EonShbxg2Te5ZYZ/SzrlluqnYcStX4/2qvTmfksUhM8vdhQEundx6JmOWuSqehr3Pl6vTRHI00IX/f/rRyfpWrjjsrvZl/pSBjfi4X9xa4aX7aLtxMzMsGDNhxhGWr/OgxtQIuRQriqDzOk5DHvNCD+WvDdISEPEOPivyFC7+jtZ8rUTx5Go4ePaFPnqIlFTGrLLAwB+3l31m0vw6jPHNjqn/MX94DWPi0GXM3D+aLj9Eb6MM44j2M3eVns6pD0pczQelSmEKOSo4/CeFx4spHFxLCUz2o8hemyNumm9KtITNyV+3IsNdN+Bo/jDpGpEl++vZviXMKwtBe2cXeB6Xo0jhXAu1ouXv7Hk/OXWf6OcPn+a37AT9VAQbV7kHV+7e5+zOoKzMAACAASURBVOQc12akmJjv/VQUGFSbfnVzpXTBOJUtQ16Te1h+QlPHGde83vaxJ60/K/rNgVGL6JVqOBUlDlWG8tuplhz6bRXrd8yly8apWGR3xM5ciHr+ArV5bkp+PY8/OrShjvub6ROlUwNm79hE7gk+rPjzVyb2/5Nidbrxzagu3Dq/BtPmLWnYuC31PxdHA4Ce6KhY7CtUpXhmzhTpA9k4bSnndXno5DuG6hk0fa8P3MTUJefR5enI1NHVErzLrsbv9AVisnqSP+FXw0zy03nWWLYeGsKRgABiqYBlxS+pbr+KTXducCMWnF83rVju3H2ITulKtTolX2cRFzdL0OsNTJp+0KlUPc9Or2b5oWiyWUcSmqUyPXtWw0kJ6nf+mKCWG7uW8vtf+1i7L27HUfDv4+lhc55aX7alZ928BrdLK52+YuVfNiyct5zf+1dnhXlO8jjakKNSFzYe7EQZ+48xyRHJhYUDmKkdzE9DyxpeyzCrSJ3q9qzcdBf/xJVP7N17PNIpca1Wh5Jv1cb7aEhP4KZpLD2vI09HH8akKAwtV3bt5V6pTjTJnbAGLGi57DqeMfokIW10nPX1pN1KNR3XHManujkWtqZYlFnKDc956JPGL/abSt12K1F3WM1Rn+qYW7x9k4E+OhKNfXmqJbxglSr+w32GNSCZLIwMcTba+9sY1X8d2cctYlyyb3BouLJ0EtN3PeSrQem4Ggs3avWYTK0ek9NliypHbUb+XJuRSX5vdHdIuvLJPNLZ2UWcZutRe3otbfjWXSlvy1cbfIZdx6Io3qgm7gangTVcXzaA8TvVlB+zjhlNU/+OSpoapuY6y/qPZ6e6PGN+nU5Tp4S5qnByskehDuXpSz1YvDmmzF6Uwi5ZuJEzV1wDta5H97bubF52mqO3tNQoHt9stdf4x+8ZJkWH0a26+et8be1sUeof8+iRBoqZAHrCzu3nVJAe0ceg/lBTqc938s3kW3TZNo0q5mpOjm/K2C2/8XOLh28+Jvj0D6ZO6ERP08Ps6O+ehvdqTCjUeADjGw9g/Kz0mWNdpDljlzRn7DteTsYSxZXl/Rh3vQ1L59fFMWHT0Iewf9l+HHt0opSpNfW6tcF983JOH7uNtkax+E5Ly7XTZ3lqUoThXau9PTxiShrSBnNm13EiizeklmFhoLm+nP7jdxJTfjS/zmiKU0rC0F5n5567lGrfmNxJKtHM2gEz62Q5Y2OuBBRksbLH0SHeiZpY45A8MRprM5SAIosV9o4OqXwiIoJT245h32sJDRNcsMrODlulnuCHD9FQFBNAH3aOfaeD0YuemEwWxvsPZ9TxH3vqNM+Ao4GYi8tZo66FZ/ZPa3nowxNDZFQsEE1UZPKeWnt9OZ1rfEn7yZu5Gr+/Qff4GLN7T+FRzwUML5HSkOzt+aIPYnWfpnTs1oK2350xcH4k19YNoKO3P2Umb2Lz2Eokb+oJSouKIhaIiYx8u9OMvM7a/p2Z4l+GyZs3Mq5S0lzNqNq9O+VMz/DbL9dIuCtVc/MwJ8PK0qNbxXhRWVB1xLe0c7nGpl9OERl3YTzZ9xMbA/LSzXsgpV/fniyUrFQaawliw+jujJs9j6lD2tF9bSxuTkqIOMUq33msOZr58Y91zwK4fTeQwJd6QIGJSk14eCzaF3EfE+zTqDqeXb5jVvecXDp1kf/U6z9vJZJLS7rRcuIF5OV2JvbsRtducX9dOrWlQYVKDLvqRMH4OrWoOhLvti5c3bSGU3GVj/7JPlZsukPebt4Miq/89GlIT9DqvjTu1I3m7b7njIEXISOvraN/J2+ul57E75vG8r/2zjOsyaTr4/8kLCAJhCJdimChWFBxLViwYQPRRVGsa++9u3Zsa99HsPfe1tXF3kXFjoIFG2KlKaD0QO6c90NQCARMKOq+zu+6+EAy98ycyTlz7mlnCqhwHqSPg3Aysibae1mXUYRoZYVGYEOvpnD3m40DXwSOx5UVgzD7XT8Ejq2hEND0l5r1UEuXELN/MvpMW46VC8bAt+8uZFubgI9UXNs2Hyt3yA/IlwUlHNnIEHugiMue0m9j3V4N9J7mgI1bS17Z/yYyxARvwaYjx7H/chYgfYztk0eDPD0xe1TbL6l4mgJkvg3FiWV9cWLjDFSy0Ia0XDX4Tt2IbW1tlUTBVS1f8HVRpVZVGN36iJrOZjkfZiExKgIP7oXg+P69uPipBgb/fQkDG5gUaiiy2MvYsvEwjh24jCxIEbFjCkaRJzx7D0M7u5ynshIRFfEQ964ex769F/GpxiAcujQADQpZvNWoPhbbNyah34Tu8PkwDH2aVABeh+DAoSdounYbxlbPM0Vq6o3le+ZhYL9R8OP1QWtxBP7+JwqtV+/DQg/DPC85fJj5LcSq8GRM33kOGwNeo8WAuVg9zgBrW+xEzfY+8GzWFt5uZsqqVKoIbD3R1fF/GN9jLrQnm+D4hx6YMdUUGjqmxbpM8P8HHKK29UfHSScQJwOiD0cVTCKww7CVTXKjOfNN4L18N+YP6o8Rfjz83lqMiEP/4EXr1TiwwAOfZwDVsyE+dKvUQlWjW/hY0xlmOT1hVmIUHj24h5ATB7DnwkfUHHQQwQMboIj9BwA4PD16Es9q+sDL+htO0fM0Ich8i9ATy/D7iY2YXskc2lIdVOsyBZu3toVtPoXim/rhz/+FI3nGLpzbGIg3Lfpj7upxMFzbEjtqtEfn9u5o18EN5mU1LlAWw0b12GgfaY+fJVm2+YN2n7lCx5d3IYcq3WhLpJSIUuja8mm0KSJbHiuouhvNDft28atKSunHRvs62R8e0YXD+2jPwWN0MTymYOyo0oKLpzv/7qF9h8/R7SLjb6mb7R36d/d+Onz2Nr38qEauadF099xh2rdnPx258IBiiopLmPGOQk/9Q4dO3KCo5BJXuVioExuNS7hA410NSWTZlpbdSymYIPsRLe46gPbGfOPAVqVEsWKjFZsMehd6iv45dIJuFPLjl8yGOIq/8y/t3neYzt5+SaqrcDZFXthD/9yKK0Y8thKS/YEeXThMe/f8Tccu3qfoMus0CqJubLSSjWy4+EIve/JxP4wNH+pgYHIobt55hgRJBrIj7uGFVW3YKb8s5adHw8gR7t6OZV8Q3xi1vbqhdqlnWxtefsXIVcccLs294aJKWm0L1PLoiFrql/Id+ITrG/dCe8ZxbDg5AmM69Ybo+H4McvhsdipcJsjIgzYsanmgYxE/fslsiA/j2l5QX4U1YOfeDXbFLLVEaBjB0d0b36DXKDElczYCfRgpvezpExLfJCHx/lbMvw+APuFZUiw0N6xEJdvNGFvv55gwYPzccBHrMfOkNVaOq4dq7Q+B19cDc9ZeQZ+V7tCCKpcJMhj/fyjhmo0RWii97KkmbNo0wj9+OckklzCm7h8wWr4VY2v8cEd7GIwygTIykMHThgYPgMAK3r7uWHVBfu5BlcsEGYz/T5Sw5+fDuvciTLsxFXM2m6OL8AouVJyFGR5F7WdiMH4ONFwGYHKtMVj8VxD6/yrD7UvlMWJ4I9Ddv+DrMwfXUzWwcjoAkkLmNBlXLrT63lVmMMqMkg8zNKuiz4bdaPv0KeK0RuMvPyV3cGg1xcrwKyUuisH4T8G3QIele9Dk5UM8/yRCr/neMNQEgNE48cOc+2Iwvg2lNKclv+zJ5OsJGYyfDAH0bWvA9XtXg8H4zrAJYgaDwWCUOczZMBgMBqPMYc6GwWAwGGVOkWs2z58/x6pVAd+qLj8UKanyiLqPIiJ+2jZgKEcikSAmJobpBYCXL18CAK5du8ba4yfjwYMHAIDs7GyV0vOICsbvTUtLg4lp2ceOYjAYDMZ/m9GjR2HB/PlfTVfkyMbNzQ1Tp/wYAcm/NUlJSejVuzdatmiBMWPGfO/qMH4gfLt2hbW1NZYuWfK9q/LdefjoISZPnoLevXvBt4vv964O4xsSEnIVCxYuQpUqVVRKX6SzMTExQbNm7qVSsf8acXHxAABzc/Oftg0YytHQ0IBYLGZ6AUBLSx56ys7OjrXHT0Zy8ie10rMNAgwGg8Eoc5izYTAYDEaZw5wNg8FgMMoc5mwYDAaDUeYwZ8NgMBiMMqdUAnFKXh7HsnnrcfE1H/btRmPmyKYwFwCADEm3tmPNmSRoQBMuvYfAo4I8JvTHuzux7kQ8BNIk8OoNwujWVqUVFZTB+PGQvMTx5fOx7uJr8O3aYvSskXA3y4mPnvoMJzYGIKTCFMzpnOciNVkSbm1fi9NJGsAvLugztBUqfMMr7hmM0qTkIxtpONYvPguj38ZjYk97RCzvgf7rIsEB4F5tx5CpT9BkzFiM7yzF6sErEJ4FyGL2Y+ys52g2bhwmTPJG6oJumHklreTSMBg/JFKErV+C04adMH5iD9g/XoHu/dcjkgOAVESG38XZg/tw/Z0EuSesObzaPgxTnjTG2LHj0IVbjUEr7iPru8nAYJSMEjsb2acs1Bu9GIPbNUar3guxrK8lwq+HQYIs3FoXgPvOHqirAwjsWqLup01Ycy4F7/7ZhktGNVFNG4C2Czq3EWDPhlNQb9f2V2uGxPAg7A4KR6KsVDNmMNRD9gnZ9UZh6eB2aNKyNxYt7YsK4ddwTwIAItg37IBmjrrg5X0m6xbWrroP51Z1oQMB7FrURfLGNTjL3skY/1FKPHPFN3LFr0a5/2trC1HJ0QGa3FuE3HgDcy8beSEa1rA2T8KRGxFI0viItMREpMgAHb4GzM3LI/XoY7yWAtVzaiR9HISAgxcRevsx3md9ft/jga+hAQFPAC1dI5jbVYdb207wbmAF7fwVy7qJJb174X9Rdhh96joW1NcsqahqwEEiAbS0VJzz4DhwAkHBS+cKIENWphQa2prFf0uQZSGLNKGpStVkWciUakBbU4XSVJZBvbaRZWVCqqENVaqgTtpvCt8IrgpGogWdSo5wyKOSPB5Pwdlwb6/hxhtzeNnKDULDxhpmSUdw84kU7WrLP1NqIzweBAJtCA1MYeP4K1p36YwW9qIyFlB1OPmPr4KeAAAHjhNAoEJiWVYWSFNTxXyV5oCsLIKmKoahhl2oI+8309+sdKSRNoRa39ZQSneZRPoMx8PsMXSlAzS4m3ifQBDp6eY0tADaWgIkfvgE+46uMFyzHzse+mFCdRmePX8HmVYjaOexNg0HL4yZ3g7PVrZFvenXkG3VHVtOLEZHWzH4me/x9MZJ7Fi2AENWzIN/+5nYsm4E6orz1EWzGnxHD0TiQyd0qfZtHI3s/VWs/mM2AoJu4U0KQWheEx79pmH++DawUVKFzGeHsXB6IK5IDCHOSATVGoxFMzujqo5iOi7uMgJmLMXJRENUNNNBekwUPpp1xNS5A1S8s16GxNubMXv+QTyDCIL4SLwTN8EI/9noW8cgn+PiEBsciJlLTyLRqCLMyqUj5uVHmHlPwdyB9ZC/OFVlQNpD7Jw+EYv2X0PUJ4LIqi58Ji7Gn/1qocAl4lwcggNmYumpRBjamkEnIwZRSWboOHUOBtYzUqyvOml/CKR4eiIclYasgGMR1sfFv0cCCSHWzemmBNrQEiThQwKHz2b72UZe/NUOdf4IgdSqE5YEjkI93VQ8u7Qdy5aPQuDSpfDy34VNQ2tCWPbCKUf2HldXT8fMwCDcepMCEpqjpkdf/DFvPNoqNwwcXjgDq65KYKiXgURywZBFM9Elv1LJEnF781zMP/AUEAkQHxkNvSbDMG9OX9QxUO2XlyXexuY5C7D/GaAriMfzd3poMtwfc/vWgWIWatiFOvKqob+S68vRd95ZJCmdqeFBr9kf2DexoVI5Ux4HYV3ALgRHa6JCVQfU9x6I3vWNVWqjUoOUkJqaSjpCEfXo2UvZ14WQTU+3jqNpR6KJIyLKDqXZ9UzIa2N8zvfJtL2zCTlPCCbiEunW+lHUyasnjfZfRIPdTMhpfDBlKsk18/RwstcVka7LNLomyfel5Amt9bYmoVBMDsNPUpIatf0asbFxpCMU0eDBQ1R7IO0mzWtiTsYO7uTTqw/5tnYhCz0R6Qj1yan/3/SOU0wujdxOXStbU5vl4ZRGRCSJoEBPW6raYxe9kOZJmHKVZja0pUazQnLl4+Lo38HVyLLFYgpV1mj5SL42j9wrNqQJZ2Llv400hoKGu5C+ZStadDNVIW3K1VnU0KYJzQrJbU0u9l8a7GxFzReHKvxGKssgjaJdfRqSW7dx5L94Ef3RrynZiEWko1eF+v8TT4pNk0JXZ7qRdePZlFsFjmL/HUJOFVrSnwoCq5O29DAzt6BmzVsU69nsp1tp7LQjFK0gdAYdHViZPFZG0edmyw6dQ78ad6Bc89lBPsbVaXxwfiMgyjwltxG9enPpbvbnTzmKPdSfKumKSEfsQmPPpxSrvl/j6tWrpCMU0eIlSwpJkUY35zUlUxNHauLTi3p3bUM1LMWkIxSRnvMAOljQMGhbtypUoe1yCpMrFUUEepKNQ0/aqaBUyXTNvzlVbDCRTsfK85DGBNHwmoZk0fJPyqfWykm+Rv7N7KjBxDMUIzcMig4aQTUMKlCLP29S3ixUtwt15FVHf5Pp2ODKJBKKSEfpnwl12BBdUEbuA11d5kNVLWpTn7U3KJ4rmKS4HD58mHSEItqydatK6UvN2SReCaA5W+/LOx0iIkqiPX7W5LbgIWUTEUkjaXkLC/LaEKPwnDRqHXnZtaAlD7JJGZkXx5FjYc6GiNKODaaKIhEJLXrTwVK0J/WcDUfvNnen5qMPU9QX/cikqH9GUl0jEenoVafxwXkUh3tFm32sSM9hNJ3NbTBKOz+GHMXW5LPldU4HzFHsts5kot+GAl4raknmpXHkKLanoScyiq6a5A7NbWBEFt33UULezxMOUi8bPTJoOI/ufG5XLo62+piRuE0gKRaXSZfGOZOe3TA6/rk4NWT48O8sGrvtMeXWNIPCF7ckY6GIjH13UmLelozdRj6mBtQ64LWiE8oMprFO+mQ39MSXfNRJW5oU29kkXqFVc7ZSeFr+Lwo6G0raS92sGtH8HLuQRq6g5uYdaENMwd4i89xoqlzA2RCR5BpNqSkmHaEuVej7D6nS/6rL15wN924zdWsxhg7nGgZlRv1DI34tTzpCMTlPyPuSydGrLZ3JUuxIIxWU6gKNctKnCp23fNFLyR1/amBYgfz2Kmg1JRzoTda6RtTQ/w4p6S7yIKE7cxuSgWUPUswigQ70tiWRoRv5fzYMNexCHXnV0t+E/dS/SS/669wT+pCR1+kSZZwdTVXNOtD6Ao77HR0ZVZeMjVxp5LEYKkU/Q0TqO5tSmWVICd2CwAe1MbJPNeggC7FXz+BGgh5adW6BlLBQ+bAv/T4eJjZFl/YmuQ9Kn2HblK34ZcJfGOlcvBk9DT1d6PABSv+IpPTvtRPgEy6/csa8Rd6w1fr8mRZsOy7AHF8L8Lk3uH3zFbicb6T3tmDN2Y/Qa+CO+nlmBnTqtUQjwyScWbMF96QAIMPbyFfIlMXizRvFOyN4fAEElI7kFA5FIQnZid0PONg6O0Mv7xeGrdGpmT6y7m/DxvM5q86yN3jxOhOymDdQLI4HvkAASk9BKqeuDHyIm43HvN5V86yracO5a0fU+qVgfWVvX+BVpgwxb99AsQo8CASEtJTUL+2oTtrvTkooNgc+RJ2RfVBdB8iKu4rTNxK+fE0EKNz1od8SXVqmIuxuEuTm8xCJTbugvYkaJqthBzsrPgBCSnw8Ur6DeXy6/BrV/BfCO9cwoGXbEQvn+MKCz+HN7Zt4lWsY2LzmLD7q1UdzBaX6FR5uBkg6swab70kBSBCycw/uczZwdlbQahi26Yhm+lkI37YJ54raTCG5hh17HoCzcYJiFoZo09Ed+ln3sXXjeaQBatmFOvKqrr8yxJ1/BdeADRjVvAqMtPOuAElw/ehZJNVtj7ZmeXUjE/dW/I7BW16j+pQtWNLO7LtPKZe4/My7f8HXZzyWTfdGZWMTlC9vBqepodDV58PIezZmmJ7C4p1HsXNxEHQnzoOfOR+QJCDy+t9YNuV/ePXbJuwY6gytrxelBAnCz1zGGw7QcKgLV8NccdJeBmPrnP5oWacHNseWtZWJ0WnaJDQosEtBhF9dnaABHjR/0cpZAJbi4bGTeCIVwKZyFUW5tRzhUFEA6ZNTOB4hBcCHVSVblOMisd1/NcLSPyeU4P7ZYLwp3xqdmpYrol4cYsIeIloG8Ph8xd1OKIcaNSpDIIvH1eD78o/41rC3KQcucgfmrg5HbnH3cTb4DYzbdIS8OHVkADREusi/hEOcFBzPGK19WiHvUhvfyh425ThEbvdHYPiXGkBy/xyC35RHm45NUa4Yab8rmXexsqsPxi2fDq8qJihvbAwTp2kI1dUHIMXbG4dw5mESXoQcwvknn/dkGsF79nSYnlyCHUd3YXGQLibN7wZzdSxWFoe4BALAg2EFK+jneTb1cRCWjOiBzt26oH3ThmjkOQjzD0UgtfSkBgCIO03F5IKGAVHdOnDWAHiamtDKUUzpo+M4+UQKgXVlVFZUKjg62kEgfYpTxyMALgZhD6IhAx98vqJWo1wN1KgsgCw+BMH3C98ozsWE4UG0DODzUTCLGqgskCE+JBj3s6CGXagnr+r6y4dp5wkYUl1JLym5gX/PJKCuZztY5Pl9pQ8CMG7xNaTZ9cGcYdWK2b+WMsqGO8VbsymMDIqJuE9P4/MMluOf0N2IaEqWFvFYDrnTaFMVptG4lCi6sKo31TASkdCiCc28kPBlmCh9coSWTvOjWoYi0tFvS6vzDy9VQO01G6Vw9HpVGxLr1aZp1z9X/gNt6VSedIRG1GlrYr70KbS7qzHpCE2oy86cSdzkSzSpjiHpCMVk134hXY6XUtyZiVTfvilNOxP3laGxlCL+bEp6Qj2qPPJcvjUxjuI2eJFYKCKTnge/fJp8cTLVNhCRjp49tVt4meKl8XR6YgOya/LHl7lxtWUoQDZFrGhLdQf8TW8KCJBMFye7kr5QRLp27WnB5XiSxp2hCfUrUeNpZyiWUzNtdgQdWTqZfOvZkaWlLbVb+UQ+VZVyh3bOHkwtnazJwsqFRp9WfX2nJGs2apMRSxHhTym+iOoVNo2WdG4s1RCLSEdciyZcyp1ESwqeS01sXWnYkVfyqSZpDJ2e1oRMdS2p0YyL9EENc/n6mo1yuNcB1FpfTC7Trn+Z7vqw9TcyFIrIoNNWKqBVu7uRkVBE5X13EkkjaFETfdLRrUojzuZrGC6eNngZkI7QjHocKDBf+QVpxJ/UWCwiUZVRVCCLuA3kqS8iHdNe9DkL1exCPXnV03XlZF6eSNVM29Nahfm9j/TvgEokEhpQ0yWPKVuSQJGhIXT11lP68KXwbIo4spQmda1HFStUIJv2f9ETuWHQnV1zaFArZ6pgaU01xpxWupZO9B3XbMqKz85GR2hAFlVrU70GDci1uh0Zi+ULY3r27cj/Qv5FZiKSPqWlzfS/s7NJoL3drcjE4y96/GXlN4z86+uTjsia+h3Jv6KQQYf7ViChUJ8aL4748mnmo03Utao+6QhFVL66GzVuPYJ2PlBtgerjvp5kLhSRnussuq2wLCal58uak55QRKZ5nA1RJj3a5EdVxPJFx2oNm5LH8F2kUFwxZMgtNoFCNw8i14pNadKxKOWKnPmINnVzID2hiHSMa1DDJm1o+K6HpFRildJyFLvek8RCfXJb9Ch3XYQy6fxoRxKJbGngUdVXd76ps1GBz85GVLkrLT50hi4Hn6K9ywZRAwtd0ilfg7qtuZe7XpMaTBNq6pNlj330IW8mknCa52ZIOnrONOJ0ssplF9fZJOztQZamrWllrmHQPf8GpCfUpQr9jxRYa8s43JcsRCLSa7KYiD7Svh6WpCPUpzozb5OiWj+X273QvEhnQx/3U3cLEemIXWmmomGQ9PkycheLSMcs19moZBdqyfs5WzV0vQASujrZhUzarVVcS0o6QD0sdUlHz4m8hwwg79Ye1NzNiUx1RWTg0JEWXMztL7nY9dReX0R6jRbRozxVyzw/hqrq6pLNwKOFrnt+lzWbb4Gg8lD8HX4H10NCcCv8CZ6GnsSGyZ6wTQnGwo710GraCcTknS3jiSAsxys0v28B92w3tl62xKDZ/VH18zSrLBUpGQTwtFBOSf14OWP6rMzcKQAtx37YdmAa6guB9BdhuPc0ElHv06HK5KC4VVd4mfMhfbwV8zY+RuaXysXg1r3XkIEPI9M862jQgmO/LTjwR30IkY4XYffw7EUU3qflKa0YMgCA9P4OjPR2h8eo3XgUfwcB3Zqh44o7KDC1ruWIflv34w+5wLh37ykiX7xHmjKBVUrLh65IpGTOmAddPSG+r5aUHjxtIcqlR+H21Zt4nGYLX/8duBR2E3uG5G57Tjq2AXsigcq160A/78OazujZtS5+4V7h760nyrai3DPs2nYZFQbOwoBcw0BaagYIPGhplyv4m/BypoElEgBitOrmCXO+FI+3zsfGx5m5Wcfcxr3XMoBvBFOTIk63iFvCz9McfOkTbJm3CblZcIi5dQ/yLEyQm4UKdqGWvJ+zVUPX85MViqBTsajt2RaWeZRbcjcEt5MJPMOKqNtlJvadPIVzV8JwY3M3WMScxfzeQ7E1Sr4axNfVhVCJF+Dp6kFUyobxn3E2imhA384N3Wfswsk1vrCUvcf1VUMwcufbPB0wD7zv2YvIonHAfxMyB/8PUxrkPeGgCS0lC+M5DyE7SwoC8EueRNzbY5g+7hScV+6Gf2tL8OIvY6GvJ0YHRX/d4Ri0w9zVI1BLLxGnp7RDS7+RGD+6H3w6DsTy4HjIIES12k55HuDw9tgMjDvpjL/2zEUbSx7ighehi9dYBEV/Lk19GQBAo3ovrDp6F09v7MZMr0ooJ/uA4AVTsO5xvmV87i2OzRiPk84rsde/NSx58Qhe5AvPMUGIzi+wOmn/n8PTsUWjrgMxZsp0zJoxFWP6ecPVIu9svQT3qnOYDwAAD/pJREFUb97FJ+JBW1srX4fOh1lNZ1jwgbTnj8uwljJEH/DHxszBWDWlgcLZH03NwjcJybKzICUAmvJzKgbt5mL1iFrQSzyDye1aoduICRjVrzO8By5HcLwMEFZDbeeiVioM0G5uIEbW0kPimSlo27I7RkwYg74+HTFgxWXIs6iN3CxUsQv15JVnW3z9zbp3DKdiasGrfQWFjjz99SvEywANR0/0dbfKWa/RgM1v8zCljT6QcBaBm+8WnXkZ8B91Np/hw9xzEDrbCwBKxMWgi6Uc8qa4SBG5bQIC+ZOweUpdRQXTMIaxIR+gTGRkUL7nJEhJlQAQwNjUVP5R6jXM6zYYwfXnY5GfF8btOY4NPSpDOz0CW4YOwfpnX9tvxYdpq/k4d/0E1s/uC/fKFrBvMgR/rfKBeYYMPHETeLYw+JI69dp8dBsUjAYLFsDPayz2nFiPnpW1kf5oC4YM2YBnXDFkUEAAAycvTN55EPOai8HLCMW5S+/zfJ+Ka/P8MDC4PhYu7Aavsbtxcn0PVNZOx6MtwzB4/bM8O8zUScsAAIkkCwAh8UNCgRcVgb4hxHwAv5RdSFxp5DaMW83H5E2TUVfRMGBsbAQ+CJmZGSigValpkAAQlM/RKb4JPBacwY2T6zD7d3dUsbRH0yErEeBjjgwZD+Im7dHSAEXCN22FBWev4dT6WejrXhkWdk0w9K9V6GyWARlPjCaeLfE5C5XsQi15gZLpbxbCj57Eu9qeaF9B4UQpJJIsyABoiA3kv2euwGjr2RBCcHgRdq/oxikDSt/ZyBJwY8ufWBS4HquXLMKGK++/KDUXcx5LBnVEq9adMXrLXaSURnkCMcS68nc0kskKKOm3R4akYH+MOeaKlQF+qJh/JM83g0MVY/ApFfFxyYoGz8UjPkEGCGzg4CACwOHFlrlY9aAKOvdyle/o0rSDb+BBrPAyB+9jMNZvvaNScEYtKzf0GDMD8+ZOxTCf2vi0fycup2nAzm8YfjPNUQPuBbbMDcD9Kp3Ry1W+f0zTrgsC/14OL3MePl7agK13stSUoRAE9ug5oC3K82TISM+dSONebMWcgAeo0rkn5FXQhJ1vAA6t8II57yMubdiGO1nqp/3uFGEXcqR4vHEQBm18WoYO8hc4ONrjF0jx4vYtvM/nbWTp6cggPkxcXMukdFnSZcwdexx1VwSge0HDgJljFRjzCanxcfikqFSIj0+ADALYODjk+VwLVm7dMXamP+ZOHQqf2snYt+MK0jTs4DesE0xV6d20rODWfQxmzpuDacN+Q+1P+7H9Sho07LpheCcTeQepql2oJW8J9Vf6AEdPvUWtdu2g4GvAh155Q3lfQQX7Q93KlWEhAEgqVaFxSpdSdzYfj07HzGeNMWb4IAwb1RRRc6bgUCIALhJH9j1F9VGLsbCPCa5MHY1VD1QQWCYr0vikz07gTIQUgB7cWjdV2Eb7PUgLW42hS7Mxas0Y1FHa12qhfotGMORxePHkieL++uwovHzLgW/eCC1qagKQ4M6Ne8gsVwF2eWPLa9ih57IpaKnL4VVkpGIeKiCLPoD5a++Cs+6G+ZMa5Y68JKG4fjcT5azsoFhcDyyf2gK63Cs8j8xWU4bC0a5oCwsNMWwr5o6AJHdu4G5mOVhVrJAnnpQG7HosxbQWuuBeReJ5tvpp8Tlum4yUvpBQGb+lFGoXOWQ9WI/pS47hfkym+i9MHCd3XKRctlz4sPytFzzK85Aeshs7IvLanwwJDx7incAJPfu6q1uDr5MWhsBhS5E9ajXGKjcMaNVrjsaGPHAvnuCJolLhRdRbcHxzNGpRs5ACZIg+sADr7nKw7uaPyY2LEZxHFo39C9bhLmcNv3mT8SULle1CPXnV0t98SB8ex8mXLmjvaVUg7ppWLVdU0wSyX0YiMl8Xyy+nDS0eH+Ur2uV8khN7jmSQKVEeKkXDKGVnwyEhMhJR0TFIlgHgaUAgSUVytvxN13PEELSpVgWuvgPRoZKGSmsqGXFx8rwKCC1BTMh6DOqxENcyNGDebjYW9bHJbXhKRkoaAZSOlJRvM95Jf7ABg6dGwDfAH62MFYe2cWfXYWeY/DVF1+N3+Nrz8Pb6ZTzLowzSRzdxO0EDTn690VgbAAQwMTEET5KID8mKr6H88k5wMPsFppYVcgPcSWNx68jfuBiZjkLJisD6YdNwVFIXkzYvhlfeQ4ICE5gY8iBJ/JDvzZKP8k4OMPvFFJaWGmrKUDgpT54ixtwTvs1yjVFgYgxDngSJH/KNmPjl4eRohl9MLVBBoxhp9fUh5ssQ+/btl5GgLCkUp2/EQkZZyJSU5QJPEXYBAJlhWL8jE81ali+WQaa//4AUGSBLfI/3X3l/45v54s8/fWAjvY0Vw+fifJz8gazXRzA3MAzVx6/AuDqlHEsw/SE2DJmKiC6rMK+lsYKMsrizWLsrTP6Prgf6+tqD9/YGLisqFW7eSYCGkx9+L0SpsiI2YNi0o8isOxFblnhB8eyrFDG3juDgxUgUbhlZiFg/HNOOSlB30iYs8cpTTzXsQh151dFfRaR4FHQCL1zawdOq4IhJYNMJ3dzF4J5exLkoxVf1rDdvEAcrtPdxy0kshoGYD1ncO7zNNQyEnrmBGBkhK2dKrlRQtkWtJFufpU/Xk7etLbWYGUSnA4bRkLXhlH8DouTxBprgf54SitiRnP34KP1vwTjq4GSUE/tHjwwqVKUav7qRm1tDqu1kR9YVq1G9Nj1p0rpgis6ze1H65gKtmdKJHMXy2GQO3pNp9bnXpMKxni+ou/U5NXwt+VQ2I+c2Pal3nz65f717kE8bV7KtNpJOfWkIjmIPD6QqBrVo4uWcTalcPB0bWo0Ma46lk3kaJjt8CbmbmpD74vsK24Ql9xdRU5uWtCT8S6wZit7oTcZCEenVmUE3lcXqSH1EO/rXJrOqv9HSkAQlZ3SyKWxJczIxbk5/hiuURvcXNSPrFkvpS3EqyyChxwfm0YSZa+lUZO5Zj8yoQzS0QX0acTTfWaHscFrczIzKN1tMilV4QAvdban50vu55xTUSMvFbqfOFrqkU96FOk9dRivmjyYf7xE0e0Bt0hXqkb3XNFqxPThfzDLlFGfrc+F2kUa3Vk6hNfeT6cKYGtRwbhgpD9xUkOzHR2nVgnHk5WQotxGROdXpPo0WrTtDUUUqu4Ren1lGA1vXIju76uTm0ZbaePcn/4MPSfVNz3K+uvU5NZzWdK5CJtXaUPe8dtGnN/l1bkO1K1anEadzewgu9jANqGpINSddztmuzVH8sWHkZORCo08p01mi1Ic7qX8tC6rSaRmFKOlUuOiN1MFEvs15unLDoIc7B5CLuQN1WhaipF9Swy7UkVcdXVeozgOa52ZKLVe+KLRPk4SvIA8LfXIadiJXHi6adnevTFX77M+N1cjF0rYuliQUGlONLlNp6cr5NNKnIw2fPZBc9EQkquRFU1dup2AlYZJ+gHM2HCWcn0B1DPTIou1yuquwYTyDIvZPIo9KRmTpNo6OFDzR98OgjrORvthKXSrqFRIgT0Q6QjFVm3g535mSZAoN9KOaLh1o0spAmj+oBbm2Gkf7nuQ/eSKl10HTqGXV6tR+0hrafzSI9q+eSl1a/kYzT7xTULaU4NnUyNqCqvXbm7vvXpJAL+4F06HAKdS1cX1qM3wthcQW0RNJX1PQVA+qUs2TJq4+QEeDDtDqqV2pRadZdPxd/udUkIH7QAd/t5MHEDS0p/pe3amHb3tyb92bFp19p9RYpK+DaGorB3L2nESr9x+loP1raIpvK+o08wTlr4LqabMp8uAE8nA0JwNjO6rXbT6depdBt2a4kX0DP5q89jQ9+aiaPhbvnI1yu0i5tpymboqgbMpU29n8CBTpbKQvaIuvXRHBI0WkW30iXc6n8smhq6mrSy3ymrySAhYMpmZ1PWjsvieKL1sJL+jupUMUOMWPGtVrS8PXhFChap0STLMa25BZ9X60J9cwKOHFPbp0aDVN7taE6rUdQWtC4gp/IVXFLoohrzq6/uWZhwvJzdSDVkQW9UbBUcyZOdS6UiVqOiqA9h7YRvN/b05N+m+ke/kO8WRH/k3jWzuRqaEJVaznR/NOv6OMWzOpYaWG1HXKOjr15KNSJ6+us+ERFZyUS0tLg4mpGTp16oSdO7arN1T6FII/J52AY79qODliLE5WmI3jBwbBIc9wMPPVUUztOgBnGh/AgyWNSzo4KxPi4uJhZ2+PXj17Yu3aNWVWTmb0XVy6+RIyi1po9KttwXD7n0mPwb3rN/E0PgvaZk74tYEzzFSIQSF7H4pjZyMhM7GDi6sLbMSq3fiRHhOG6zefIl6iBTOnemhQzbTQkBdflSHrPR5cDcHDmDSQlgGsHOugjpNJwTuIFGuAmLAbuPkkHhJtMzjVq49qpoXVQJ20JcfcwhKOjo44f+6s6g8ps4vNTtg/8SScB3SAFV+K8IB+CNSdiw3jW8HV7itbqX4QQkJC0MqjNWbPnoWJEyaUXsaZ0bgbfBMvZRao5fYrbBWUSob3ocdw9rkMJvYucHWxgYpqnSeL9wg9dg7PZSawd6kDFxuxSnfOqGMXqqOe/kpfXMKBcCGad3D9+iaI1Fe4cfk2XqaXg5VLQ9S31y+1tZMjR46ge4+eCAwMwO99+nz9AWUeqPgjGyk9WtyK3Oc/oGwikr7eRz2rOtOo8wXPiSfs6Er2fQ6pmf+3o3QiCDD+P6L+yEa5XYzYs51Gd/QiTy8v8vTypEYOJmRWoyX5rbheVlUvdYobQYDx30fdkU0pb6gnZKSng1dOAB4AgVUHdHUPwPkCGwFkkGRqoWGzeqVbPIPxQ1KIXZj5Yvk/vXLSSHBx7K/4w3AZto+p8T0ry2CUCaXsbDTgMnASao1egpVB/VBPdgcXyw/HiMZakMXtxYAOa5Hd6je4maTgbXZXzB9jUbrFMxg/JIXbBYPxs1DqR4X5Fh2wbG8TvHz4HB9FPbHA2xCaAGDaBSv2O+Hpez5M7B1gY1B2p5QZjB+NQu3iC1pwXxGGq9+pfgxGWVM2Pb5AH7Y18p9CFkBsUwN1bcqkRAbjx0epXTAYPwf/8dhoDAaDwfgvwJwNg8FgMMoc5mwYDAaDUeYwZ8NgMBiMMqfIDQIpyclITk7+VnX5oUhNlV+AkJWd/dO2AUM5RASO45heAEhLk4e2lGRKWHv8ZCSnqHdJjNJwNenp6TA2UXbxFYPBYDAYuaxduwa9evb8ajqlIxsdHR34+89FWFhYqVfsv8SzZ89gbGwMfX39rydm/DS8fv0aWlpaMFV6E+nPBRHh0aMIVKxoCx0dne9dHcY3RktTC57t26uUVunIhsFgMBiM0oRtEGAwGAxGmcOcDYPBYDDKHOZsGAwGg1HmMGfDYDAYjDKHORsGg8FglDnM2TAYDAajzGHOhsFgMBhlDnM2DAaDwShzmLNhMBgMRpnDnA2DwWAwyhzmbBgMBoNR5vwfSrRTxYoltxkAAAAASUVORK5CYII=)
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,iVBORw0KGgoAAAANSUhEUgAAARgAAADVCAYAAACMj+9SAAAgAElEQVR4nO3dd3Ac55ng/29PwGAGGBCDNMiRCEQkRJgkRFIiKYkKlKhkU060LK92fT6Xd+1db6p13dlnX5Wu1rXr2qv12j7fltfltYItUpFBYjBpJoAkACIROadBGqTBxO7+/cGb+ZkGJREkBoPwfqpcZUkg50VP99NvfB5JVVUVQRCEINCEugH3QpZlfD4fIkYKwsq0qgNMS0sLVVVVTE9Ph7opgiDcxqoOMF1dXdTV1eFwOELdFEEQbmNVBxifz4fX60VRlFA3RRCE21jVAUYQhJVNBBhBEIJGBBhBEIJGF+oGLJf5+Xm6u7tJTEzEYrHg8Xi4ceMGqqpSWlqKTrduLoUgLJt104NRFIXGxkZu3LjBzMwMTU1NnD17FpvNJvbRCEKQrJvXdmRkJLm5uVy7dg23201bWxvJycncf//96PX6UDdPENakddODASgpKUGSJI4ePYrZbGbXrl1ERUWFulmCsGatqwCj1+u57777iIyMJCcnB6vViiRJoW6WIKxZ6yrAqKrK3NwcpaWlpKWlodGsq19fEJbdunvCurq6iIqKYsOGDaFuiiCseetmktdvx44dxMTEEBkZGeqmCMKat64CjCRJZGdno9FoxNyLICyDdRVgALRabaibIAjrxrqbgxEEYfmsux6MIKx2qqridrvxer1otVoMBsOK7ZmLACMIq0xLSwtvvfUWbW1tJCUl8cwzz1BRUbEit12IACMsG7fbzezsLGazGYPBsOC/z83N0dPTQ1xcHFarFZfLhd1uR6fTkZCQEIIWrzwOh4PDhw/zH//xH/T39xMbG4vBYCAnJ4fY2Nhbftbn81FdXc3mzZsxGo04HA6Gh4dJSEhYtm0aKy/kCWuO1+ulo6OD119/nZ/+9Kf89re/ZWBgYMHPTU5O8sYbb3D58mXm5+eZmpriwoULdHR0oKoqsiwH/rdedXV1cf78eQYGBnC5XIyNjdHc3Mzg4OAtP6coClNTU7zzzjt0dnbi8/kYGxvjxIkTDA0NLVt7RQ9GCCpVVbHZbLz55pv84he/YGpqCqvVyszMDC+//PItB03dbjdjY2M0NjZSWlqKJEmMjY1hNBoZHR3lypUrzM3NERkZyWOPPbYuU2zMzc3hcDgCQVav16PT6RZkBPB4PNTU1BAXF0dVVRUZGRnMz88zODi4rDms1983JCy7wcFBzp8/T0tLCwDT09OcOHGCL37xi+h0usCeJEmSSElJITw8nNbWVqxWK1qtFlmW6erq4t1338XhcOB2u9m8eTPJyckrct4hmCIiIkhJSSE7OxuA9PR09uzZQ2pqauBnFEVhbm6Ojo4O9u7dy+nTpxkeHkaW5WXfAyYCjBB0RqMRs9mMXq/H5/NhMBiIiYlZEBxUVSUqKoq0tDQmJyex2+2BoRFAQkICer2euro6+vv7SUxMXFcBxj/ULCoq4oEHHsBsNpORkUFhYeEt8y9er5fe3l4mJydxOp3o9XrOnz9PUVHRsrdZBBghqCRJIi0tjQceeICqqipkWaaoqIhDhw5hMpkWvE1lWSYjIwOv18ulS5cYHR0lLi6OoaEhpqenefTRR+nr6wvRbxNaw8PD1NfXs2vXLrZv305ERMSCn1FVlfn5ea5fv86ZM2dobm5mZmaGzMxMEhISlr1QoQgwQtAZjUZycnLYs2dP4OHIyclZEFw0Gg1arRadTkdBQQFnz57l+vXrbNmyBUVRyMnJwWg0Yrfb8fl8IfptQsPr9XLx4kUiIyPJy8vDZDLd9udkWWZ0dBSHw8E//uM/EhcXh9fr5ezZs4yNjQWGSctFBBgh6IaHh+nu7ubAgQPs37//I+cBzGYzhYWFWCwWjEYjn/70p8nPzycrKwtZlnnvvfdoaWnhpZdeIiwsLAS/SegMDAxw7tw5Dh06RHx8/EfOoyiKgsfjwWw2c9999wX+/dTUFIODg5SVlS1Yzg4mSV3FCWmPHDlCb28vzz//PGlpaaFujnAbsizzwQcf0NjYyBe/+EWSkpJC3aRVx+fz8aMf/QiAL3/5y8TFxYW4RXdu/cyQCSHR2tpKW1sbeXl5WK3WUDdn1ZFlmba2NmpqanjuueewWCyhbtKiiAAjBM3c3BwXLlzA6/Xy4IMPrqsVn6WgqioOh4Nf/OIXPP/88yQmJq7YM0cfRXzjQtBcuHCBqakp9uzZIzII3gW3283Vq1fx+Xxs376d8PDwUDdp0USAEYJiYGCA7u5u0tLSKCwsFAm+FkmWZcbHx7l06RI7d+4kLi5uVfYAdXBz5vlOznf4lxEF4eP4fD4aGhpQVZUtW7ZgNBpD3aRVx+l0Ul9fz8zMDDt37ly1q2Y6VVVpbW2lqamJubm5j3zTSJJEeno6u3btEkFG+Fg2m43Ozk42btx4yxZ24c7Isszw8DCXLl1iz549H7ssvdLp4OYR8J6eHmZmZm7bDVNVFY1GsyrHgMLyUhSFc+fOodfryc/PF/fMIjmdTtrb2zlz5gxer5cdO3as2uACoJMkiZycHCwWC16vF7h5k3i93gW7JS0Wy6r+ZYXgURQFSZJobW2lpaWFBx98kJSUFHG/LILD4eDq1av88pe/5Nq1a5SVlVFfX09lZeWqnH+B/9eDsVgsgfV1n89HX18fzc3NjI+PoygKYWFhuFwuSkpKyMjICGmDhZVnZmaG7u5utFot7777LpmZmRQUFKzaeYNQUBSF7u5ufvWrX/Hqq6/i8XgYHh5Gr9dTXFxMVFTUqgzWC44K2O12zpw5w9GjRwNJf3Jzc6mvr+fFF1/k/vvvF3MwAnBz6OxyuXj//fc5evQoqqri8Xj49re/LXbsLpIsywwNDdHS0oLT6QRgdnaW8fFxHA7Hqq2hviDADA4O0tfXx969e0lJSeHGjRscOHCA48eP3/b0q7B+KYpCT08Pr7zyCs3NzciyzKOPPkpYWJi4TxZJkiTMZjMpKSkkJyejqiqJiYlUVlYSFxe3aq/nggDjcrnQ6XRs3LgRi8WCzWbDbDZTWlrK//k//4cvf/nL6zKTmLCQfxt7d3c3siyjqir9/f3Mzs6Gummrjj+bX1paGn/1V3+FLMvcf//9FBcXr+qh5oJIERYWhlarxeVyodfrGR8fp7a2lsHBwVXbTROCQ5Ik4uPjMZvNOJ1ONBoNDzzwAMnJyaFu2qqiqio9PT20t7dTXl7OwYMHURQFvV6/ansufgsCjNVqJSEhgeHhYUpKSggPD+d//s//iU6n4/vf/77ovQgBer2eiooKKisruXLlChs3buTQoUOkp6eHummrisPh4Nq1a6iqyhNPPLGmnrHbBpinnnoKj8eD1WrlxRdfDOwkLCwsFBO8QoCqqjidTkZGRvjlL39JVlYWiYmJtyTyFj5ZbW0tNpuNysrKNXdmKxBgZmZmgJvZxywWC7IsoygKERERFBUVIUnSql2LF4LD6XTyb//2b3zhC1+gvLycyMhIcY8s0vj4OK2trcTGxrJp06ZVPyT6Yzq4OVn32muvoaoqFRUVtLS00NLScsvNotFoKCgo4Pnnn19TXTjh7ni9Xjo7OxkYGOCll14SweUu+Hw+GhsbmZ2dZceOHURHR4e6SUtOBzcn6/Lz8wGIiYlhw4YNCyrp6XQ6YmNj11yEFe7O3Nwcv//979mxYwexsbEiuNyF8fFxrl69SmpqKvn5+Wty+iEQYPyJlbu6ulBVlb179wZyd3o8HlpaWhgcHFzWjOTCyuT1eunr66OtrY2/+Zu/WZMPRrDJsszZs2eRJIni4mLMZnOomxQUGrgZYEwmE1qtlpGREXp6etDpdFgsFjZs2EB4eDgDAwOcP39+XZftFG6y2WwcO3aMbdu2kZiYKHq1d6Gjo4OOjg4KCwvJyspasz3AwGTK6Ogoly9f5uTJkwwPDzM5OUlsbCyqqjI3N0dNTQ3FxcVr9kIId2Z6eppr164xPj7Oyy+/LO6HRZqamqKlpYX33nuP8PBwcnJyblvfaK0IBBhZlrHb7UxOTuJwOLDZbHg8nsB/y8/P57nnnhPd4XXM5/PR09PDtWvX2L9//6rKbr8SzMzM8J//+Z8cO3aM+vp6tm/fzmOPPYaqqmu2FxgIMAkJCRw4cIC8vDxGR0fJz88nJiYGuDmE0uv1REdHizfWOqMoCna7nfHxcZxOJ01NTcTGxrJz585QN21VUVWV2tpafvzjH9Pe3o7P5+PcuXM89NBD5OXlrdld8oEAo9friY2NpbKyEqfTyczMDDMzMyiKEvhhp9NJcnLymo22wq1UVWV4eJgPP/yQy5cv4/V6sVqtfO5znxOb6RZJVVWampoYHR0NlG91uVyMjY0xPz+/9gOMn8/no7Ozk1OnTtHf3x8YEmm1WoqLi/nsZz8b9H0wPp8Ph8OBz+db1ip0wq28Xi8XLlzgX//1X6mtrSU8PJynnnpK1De6SwkJCYHAbDAYyMnJobi4eE3uf/FbEClGRkZ4++23uXz5MpWVlWRkZATGiKmpqUHvvaiqysTEBGfOnAHgs5/9bFA/T/hoHo+Hrq4uhoeHkWUZn8/H/Pz8uqsLvVSMRiO5ublYLBYSExMDx3DWclrR2wYYh8PBoUOHePrpp285Kr4cxwVcLhf19fX86le/4rHHHgvqZwkfz/9AxMfHY7PZSEhIoKSkhMjIyFA3bVVRVZXZ2Vneeecdvv/975OXl4fRaMRoNK75oeaCAGM2m7FarWi12gVFyoPde5Flmd7eXpqbmzlw4ICY6wkx/7C4oqICr9fL/v37+fznP79m5wuCxe12c+LECaxWK8XFxesqt/WCAJOcnEx0dDTHjx8nIiKCvLy8wO7diIgIkpKSgnZxxsfH6erqCnQjW1tbg/I5wp2bnJwkNzeXZ555hp07d4rgskiyLGOz2Th//jwvvPACkZGR6ya4wG0CTF9fH6dPn+b48eP87ne/Izw8HFVV0el0PPzww7zyyitBybClKApDQ0P89re/5fz584SFhRETE0N+fj6VlZVL/nnCJ5udnaW1tZXExMRAcFlPD8dSmJ+fp6qqCpPJRGlp6ZofEv2xBQEmJyeH733ve3z7299eMDyKiooK2gqSRqMhPz+f//bf/hujo6O0t7fT19dHSUlJUD5P+GQ3btxgenqayspKzGazCC6L5PP5GBgY4NSpU3z9618nIiJi3V3DBdHCaDQSFxfH8PAwzc3NFBQUsHnzZq5fvx70A1lGo5H09HSsVisWi4XMzMw1vY16JXM4HPz+978nKSmJ/Px8scHyLkxOTnLixAmKioooKChYl9dwQYCZm5vjd7/7HUePHsXr9WK329m0aRO9vb20trby4osvBu1CSZKEJEkYDAbS09ODOt8jfLx3330XRVEoKytbsyd9g8npdNLa2srAwAB//ud/vqoTd9+LBZFicHCQlpYWsrKy2Lp1Ky6XC0VRiImJ4eLFi8tymlqj0WAwGMRyaIh0dXXR0NDApk2b1vRJ32BRVZXR0VGuXLnC1q1b13V97gU9mNnZWbxeL5s3b0av1zM5OYkkSSiKgsPhCEUbhWXk8Xg4ffo0mZmZbN68GZPJFOomrToOh4PW1lZcLteqLvu6FBb85haLBZPJRFNTE52dnYyPj1NdXc2ZM2fYunXrur5Y60FHRwc2m4377ruPxMTEUDdn1ZFlmf7+fpqamiguLl73FS4X9GCSkpIoLS3lvffeo6qqivHxcUZHRzGbzTz11FMiXcMaJssyFy5cICsri4yMDJF7+S5MT0/T0NCA2+2moqJi3V/DW357VVXRarWUlJSg0+k4deoU4+PjJCcns2/fvlVdwlL4ZG1tbfT09PDCCy+sufIZy8HlctHa2kpXVxdlZWXrvvcCfxRgFEWhr68Pm81GUVERO3fuRFXVQAb5M2fO8PTTT4tezBrkdDp57bXXyM/PJzU1dd1tCLsXsiwzPj4eyFTn8/koKSkRL2P+KKOdw+Hgxo0btLW1ER0dHdjFOzs7y6VLl/jd737H/v37RYBZYxRF4fLlywwMDPDyyy9jsVhC3aRVxW6389prr/Hqq6/S09NDeno6RUVFfOELX8BoNIa6eSEVCDB2u536+nqqq6sZGhrCZDLR2tqKoiiMjY3x/vvvU15eLqLyGuHvmU5PTzM3N8cPf/hDvve972G1WsV3vAiKotDS0sL7779PdXU1qqoyMzPD4cOH2bZt27rfiX5LgDlz5gwffPABDoeDrq4ujEZj4BxSfn4+3/jGN0TXeY1wu900NDTwk5/8hCtXrpCYmEhcXNy6n5RcLEmSiImJITIyMtCzNxqNxMTErPveC/xBgMnNzeV//I//wX/5L/+FyclJ0tPTF5ycFW+2taO7u5tvfetbXLx4EVVVaWho4Hvf+x6vvPKKyFi3CJIkYTabSU1NZcuWLVgsFsrLyzl48CAbN24MdfNC7pbXlSRJJCUlkZiYuCAXjLC2uN1uRkZGbimkd/z4cf7hH/5BBJhF8Hg8vPvuu2RmZvKVr3yFhIQEjEajSGvx/yzoD2s0GoaHh3nnnXd48803mZ6eJjc3l5deeokHH3xQdKHXiIiICDZt2hSo5AmIqp13ob6+nvHxcSorKykqKkKr1QbO1Am3CTATExMcP36cCxcu8NBDD2G1Wunr6+OnP/0pJpOJrVu3ilWkNUCj0RATE8O2bdtwOp2kpKRw8OBB0XtZhNnZWX7/+9+zceNGysvLxfzkbSwIMIODg3R3d7N161aee+45IiIiGBsb44033uDw4cNs2bJFBJhVzuFw0NPTQ1RUFD/84Q+ZnZ0lOTmZjIwMkR5jEa5du4aiKBQWFoql/Y+wIMA4nU58Ph+pqamB3LxarZbMzExqa2uD1o1WVZWenh6OHTvG9evXb3vmKSwsjGeeeYatW7eKB+Eu+Wsd1dTUsH//frZt24bP5yMsLEycM1uE6elpamtrycjIIC0tTbx0P8KCALNhwwYiIiLo6Oigv7+fDRs2MDIyQn19PdnZ2UEdW0ZERJCbm3vbm92/XG61WsU80D1wOBx0dHQgSRLbtm1Dp9OJ67lIsixTXV3N/Pw8mzZtEscqPsZtk36XlpZy/PhxfvzjH2MymZiammJmZoavfOUrQYvUkiQRHx/PQw899LG9JLG6dW/6+/tpbW2lvLxcPBh3aWxsjA8//JAHHniAtLQ0EaA/xm3Llmzbtg2A6upqpqenMZvNPProo1RUVAS1Kyhm34NramqK+vr6QL4fMSRaPFVVOX78OBs2bGDz5s1iOfoTBAKM0+lkaGiImZkZNBoN2dnZbN26lcjIyECGuWDfkP7t6w6HA1VVMZvNYmZ+iciyTENDA52dnezcuVOU5L0LqqrS19fHpUuX+OpXv0pCQkKom7Ti6eDmhauvr6exsRGDwUBYWBhOp5OkpCT27t27bF1Ap9NJR0cHzc3NaLVacnJyxJt2idhsNq5fv05UVBT3339/qJuz6viL1R8/fpzS0lKysrLWbZ7dxdDA/58mUZIknnnmGZ577jmys7Oprq5mfHx8WRqiqipTU1M0NjbS39+PzWbjZz/7maiDvAQ8Hg9Xr17F4/Gwf/9+MWdwF/ypTJqamti9e7fIF32HdHBzw5AkSWzYsAG9Xo9Gowkc3uru7iYxMTEw8RqsORL/JO+TTz6J1+ulubmZ8+fPi+W/JdDf309/fz/5+fmkp6eHujmrin/YPjY2xsmTJ8nKyiIzM1MM3e9Q4FUmSRIul4upqSn0ej0zMzNMT08zMjLC1NQUiqKg1+uDWvpSr9fj8Xg4d+4c//7v/87nPvc5PB6POJV6D3w+H/X19eh0OkpKSkTAXiSXy0VDQwOHDx/md7/7Hf/yL/+CwWAIdbNWjUCAsdlsnDx5kqNHj6LRaAJ1oi9fvszhw4fRaDRs2bKFr33ta0GN3iaTiSeeeIJt27bx+uuvc/HiRfbu3StWl+5Sf38/LS0tbN68mbS0tFA3Z1VRFIWuri6+853vcOrUKcLCwjh58iRFRUVimHmHdHBzc93LL7/MwMDAR855aDSawM7eYFBVlaGhIbq6usjMzMRsNmO1WomNjRXB5R788pe/JD4+nm3btonruEgOh4OGhgaam5tRFAWv18vp06c5ePAgWVlZojd4B3Rwc2iSl5dHTk7ObedaVFVFkiQ0Gk1QqzpGRkYyNDTEd7/7XVRV5Vvf+haFhYVB+by1bGhoiFdffZXa2lrMZjOPPPKI2FR3F1RVxe124/F4Av/OP0cp3JlAP28lbBmPjIzkkUceoaSkBFVVSU1NFUuBizQ1NcXXvvY1rly5wuzsLBs3buSxxx4TqRjugs/nw+fzkZaWRlhYGFqtlieffJKEhAQRZO7QihpIarVaYmJiAidTRZd+8To6Omhqagokk+rq6qKuro7KykqxMWwRfD4ffX19DAwM8Nd//df4fD50Oh27d+/GZDKJe/MOragA4ye+vLuXnp7Opk2bGB4eZn5+HoPBQHx8vDh9vgiqqjIxMUFDQwMmk4lHH3000LsP5irqWrSg8JrH40GWZQwGwy2TWLIsMzU1hc/nw2KxoNfrxYVegeLj4ykqKsLpdJKZmUlFRQWPPPKIqDG9CD6fj9bWVjo6Ojhw4IDI9XIPbgkwsizT0tJCY2MjsbGxmM1m0tPTSU5OZnBwkFdffZWwsDB27NhBSUmJ2J+yAvX19eF2u/nqV79KWVkZKSkpoku/SAMDAzQ0NJCenr7uy47cqwWVHXt7ezlx4gQWi4W0tDQ6OjrYuXMnHR0dDA4OsnXrVk6dOkVycjLJyclismsFURQlUJ1x9+7dxMfHh7pJq47D4aC5uZnZ2Vkee+wxschwj26JDlqtFp1Oh8FgoKSkhJ07d9Lf309dXR2jo6OUlZXx+OOP09jYiN1uR1GUULVb+COKolBfX093dzf79u0Tp6Xvgv+0dHd3N5s2bSIjIyPUTVr1FgQYi8VCamoqubm5ZGRkkJCQwMzMDHa7PZA+0z8XI6wM/vK+v/3tb9m/fz9Wq1X0LO+C0+mkubkZSZIoLy8P+baNtWDBFYyJiSEmJoauri68Xi99fX3ExsbS3d1NRkYGV69eJSkpSYzrVxCfz0dLSwsOh4Pt27eLCd27oCgK7e3t9Pb2UlRUREpKSqibtCYseM1lZmZSXl5OfX09P/vZzxgaGqK2thav14skSfzwhz9k165dYrPRCuHvvZw4cYLdu3ezYcMGEfjvwszMDGfOnEGv17N582ZxDGCJLOjBhIWFUVFRQX5+Ph6P55abNTw8nG9+85sisKwgXq+Xjo4OGhsb+fu//3uRRuAuKIpCTU0NDoeDXbt2idpQS+i2ZUs+/PBD/uVf/oXW1lYMBkMgo/++ffv4p3/6JzGzvkKoqkp/fz//+3//b7797W+LOYO75C+gVlBQwPbt20PdnDVlwR3Z3t7O2bNn2bZtGz/60Y+Ij48PnGMJDw8Xb8gVZHx8nJMnT5KTk0N5ebkYGt2lU6dOERsbS3l5uXh5LrEFAcbj8RAVFUV5eTn5+fm3vBVF1v+Vw+v10t3dTXt7O9/61rdE4L8Lc3NznD59mqqqKvbu3Utqamqom7TmLAgwSUlJgZ27DofjljMsGo1GdMNXiImJCW7cuEFpaSmJiYmhbs6qc/78eX7wgx/Q0tIC3KwHtmXLFrECt8QWRAtZlunt7eXYsWNcuXKF5ORkVFVFo9FQWFjIwYMHgxJk+vr6uHbtGhMTE7ftJel0Onbu3El6evq6fVvLsszIyAhjY2P09fUxNDTEZz/7WbHisQiqqjIzM8N//ud/cvnyZWZmZtBqtRw/fpyKigri4uJC3cQ15SMLr8XHx2MwGAL5RyVJIjExMaj5eE0m0y3JfW5pqE63rg9Y+nw+qqqqeP3112lrayM8PJzKykqxX+MuyLLM5OQkXq8XVVVRFAWn0/mR955w9wIBxufzIUkSZrOZ3bt3s2PHjgU/HMwC6XFxcVRWVuLz+QKZ3GVZRqPRBD43IiJi3b6tXS4XH3zwAa+//jpTU1NERkZiNBoZGhoiMzMz1M1bNfyZEzdu3EhUVFRgK0ZZWZm4jkGgg5v7AE6dOoWqquTl5WGz2RgeHr4lmEiSRFJSEhUVFUHpRej1evR6PYqiMDQ0xPvvv4/dbsdkMvHwww+Tl5e3rud/fD4fo6OjTExMIMsydrudpqYm+vr6xIOxCKqq4vP5UBSFgwcPMj4+jslk4plnniEpKSnUzVtzApUd7XY7qqoyPz9PW1sbbW1ttwQS/xzMli1bgtogWZaZnp7G5/ORkpLCwMAAFy5cICUlhaioqHU7RAoLCyM1NZW4uDhGR0fRarXo9XqxrLpIiqLQ0NCAJEm89NJL6HQ6jEYjVqtVlCMJAh3cDB7+0iBhYWFERkZSVlZ2Sx5XrVbLhg0bgr6LV6PRkJ6ezuc+9zlMJhPV1dW0tbWt+5Pb/lK6paWlTE1NkZCQwO7du8nKygp101YN/wTvsWPH+NSnPkVeXp5YNQoyHdwc/vjztfonvcbGxuju7kaWZSIiIigoKCAlJSXoPQitVovZbEZRFOx2O3Nzc5SXl6/7VIUzMzPMzs6yb98+8vLySEtLo7CwULx1F8HtdlNTU8Pw8DBf/epXCQ8PD3WT1rwFkxozMzNcuHCBw4cP09vbG+iKl5WV8cUvfpGCgoKg92LcbjcjIyMMDw8TGRm57gtdybJMbW0tDoeDhx56iPLy8lA3adXxL/G/9dZbHDhwgNjYWHGmbhksuMK9vb2cOXMGq9XKP/7jP/KTn/yEv/qrv8Jut/OrX/0q6HlgfD4fXV1d/PjHP6a6upqIiAgmJyeRZTmon7uSDQ0NceXKFVJTUykqKgp1c1Ylh8NBdXU1Go2Gxx9/XMxdLZPbHhUwm82UlZVRUlKCTqcjPj6e4eFhjh49iqIogUJswTA3N8fVq1c5ffo0TqeTX/ziF7zwwgv82Z/9GdHR0etumOTxeHjrrbcwm81s3bpVPBh3QZZlBgcHOQLk0F8AACAASURBVHnyJP/wD/8gei7LaEGAycjIYOPGjfT19WGz2YiMjGRiYoLGxkYeffRRXC4XbrebiIiIoAxboqOjOXToEIcOHVryv3s1am5uxm63s2vXLrGp7i7Z7Xaqq6spKSkR542W2YII4fV66erq4rXXXuOdd94hPj6ewcFBrl27xoEDBzh+/DgGg4HvfOc7ZGVlibdBELlcLs6dO0dBQQHl5eXrdpPhvfD5fPT29nLjxg1efPFFcQ2X2YIAExkZyeOPP86WLVvQaDRIkhRYWfJ/OVqtlri4uHU3XFlura2tOBwO8vPziYqKCnVzVh1VVbHZbFy7do2kpCTy8vJC3aR157YBprS0NFD0W1VVtFotBoMh0Fvx75cRASZ4FEXhnXfeobCwkPT0dNFTvAter5empiYaGhr4u7/7O9F7CYHbnqZubW3l8OHDVFVVoaoqZrOZffv28cILL2A2m0VgWQYffPABbrebwsJC0Xu5C6qq0tHRQW1tLTt27BApLUJkQYDp7+/n2LFj2Gw2nnnmGcxmM6Ojo1y9ehWdTsehQ4fW9Z6U5TA2NsaxY8fYsmUL4eHhgUOfIrDfuampKZqbmwF4+OGHRe8lRBZEisnJSex2O1u3buXpp5/GYDAwOTnJkSNHOHfuHJ///OdFgAkiVVX5zW9+Q25uLnl5eTQ1NdHb20tBQQHx8fHiQbkDiqLQ3d1NX18flZWVIsdLCC0Y2MfExJCenh4osuY/UOfz+cjJyUFRFDwez7o/G7TUVFXF4XDQ3t5OR0cHDzzwAPn5+WRnZ+P1erl69Sq1tbWMj4/j9XpD3dwVbXp6mpaWFiIiIsTGxBBb0BXxH/46duwYExMTxMTEBDbZPfjgg7zxxhuBCgNiJeneKYrCzMwMjY2NtLa20tPTQ3Z2Nunp6WzYsAGLxUJcXBx9fX3Y7XZmZmaIi4sjMTGR+Ph4cf3/iCzLNDU1MTw8TGVlJdHR0aFu0rq2IMBoNBo0Gg2RkZH09PRgs9lwOBykpqbi8/m4ceMGYWFhPPjgg0Hd0bse+E/3njp1ip/+9Kf09vbi8Xj4/ve/f8sqXUJCAjExMUxMTDA0NMTIyAiTk5OkpaWRkZEhhqz/j6qqjIyMUFtbi8ViYdOmTWJIGWIL7szo6GgOHjzI/v378Xq9gf0vf3jyVJIkYmJixNLpPfLv03jnnXc4efJkID1GQ0MDjz/+OEajMRBkdDodVquV2NhY7HY7bW1tNDY24vF4yMrKEieDubmprrq6GrfbzQMPPIDFYgl1k9a9BQFGr9ej0WgYGRmhs7MTn8+H2WymoKCAjRs3ijfCElNVNdAT9CdXt9lsuN3u2/68/2xYREQEbW1tNDc343K5yMzMXJdntf7Q4OAgjY2NZGdnk5OTg9frRavVihdhCC0IMC6Xi6tXr/Lqq68yMjJCeHg4iqKQnZ3Nn//5n5Oenr6ub+KlpNFoiI+PZ+vWrZw4cQJJkoiLi+ORRx75xOx9JpOJwsJCzGYzdXV1jI2NUVZWRlxcXNBfAv6e1kq4D/wB2uv1cvHiRUwmE3FxcXR0dBAREUFERARGoxGj0XhLAntheSwIMAMDA1y8eJGUlBT+9m//FovFQl9fHz//+c95++23+drXvrZuy4YEg1arJT4+nkcffZT8/HweeOABtmzZgtFo/MQ/GxYWRlZWFrGxsdTU1PDhhx+ye/duEhMTgzYv43a7mZqaQlVV4uLiQjr/43K5sNlsuFwupqen6e/vDyTvHhkZoaenh7m5OUwmE9nZ2SQnJ2M0GjGZTGJf0TJZcHeMj4/jcrnYtm0bOTk5aLVaTCYTu3fv5rXXXuPP/uzPRIBZIoqiMDIyQkdHB9/4xjfuKqG6RqMhOjqaBx98kNraWo4fP86+fftITk5e0odfVVXcbjft7e288cYbeDwe/vIv/zJkheIVRaG6uprvfOc7tLW1kZaWxnPPPRc4WpGXlxdoc19fH3V1dZw+fZqNGzeyZcsWNmzYQHh4OFqtVgSaIFpwB4aFhaHT6XC5XIGusH8p1WQyiS9jCc3NzdHe3g5AcXHxPV1brVZLRUUFPp+PEydO8Oijj5KSkrJkwyWXy0VdXR2NjY1s2bKFtrY2pqamQhJgVFVlenqav/mbv6Gmpgav18vU1BSPPPJI4Pf1lzk2Go3k5+eTl5eHy+WitraWt99+G6vVSl5eHjk5ObdMpgtL67b5YKxWK2+++Sazs7Ns3LiRhoYGfvvb3/Jf/+t/FZO8S0RVVVpaWrh48SLPP//8kq0CfepTn0Kn01FVVcXWrVtJTU1dku/MX1HyvvvuIyUlBZfLFbLNlqqq4nK5aG9vD2w6dLvd2Gw25ufnb/tnJEkiPDycrVu3Ul5eTnd3d2CSvLy8nIyMDJHfOAgWBJiYmBiefPJJFEXh17/+NSMjIyQlJXHo0CEee+yxoAYYRVFwu924XK7bvlFUVcVgMBAeHr7qVwb6+/upqakhKSnpnnsvf0ir1VJSUoLX66W+vh6NRkNKSso9X6/a2lrOnj3LE088wcDAAF1dXUEvYfNR/D2T8vJyLly4gMvlwmKxkJWVhdls/tg/p9Pp0Ol05ObmkpKSwtDQEDU1NQwODlJWVkZ0dPSqv7dWklsCjKqqOJ1OIiIi+MxnPsO+fftwu92EhYVhNpuDXlpzbGyMI0eO8O677942kHm9Xp588kkOHjxIfHx8UNsSTB6Ph4aGBgYGBoKS3d5gMFBWVkZVVRXXr19HkqR7qgjhcDiYnJxkZGSEK1euMDY2xsTERMi+A38F0m9+85tMTU3h8Xh4/PHHefbZZ4mNjb2jv0Ov1xMVFYXRaMRisVBXV8elS5coLi4mJSVFbF5cIrdcRVmWuX79Ot3d3Tz44IPk5+cD4HQ6uXDhAr///e/5zne+E7RJ3ujoaB5//HHKy8sDD8Mf7hZWFIXExMRVn76gq6uL7u5uKioqglZN0GQyUV5ezvXr12ltbUWv19/1fEltbS0ul4tvfOMbmEwmamtrA+VlQkWj0eByuXjmmWfYtWsXOTk5xMfHL+re9Oc1SkhIoKKigq6uLpqampidnSU3N/eeh0wraTk/VAIBZn5+ntHRUVpaWujs7CQpKSkwzp6cnOT9999namoqqONug8FARkYGGRkZeL1eRkZGGBgYoLKyMmifudzm5ua4ceMGcHO+JJhDzujoaIqKiqitraW/vz/wxl6svr4+amtryczMRKfTkZqaSllZWcjm41RVZWpqiurqag4cOEBFRcU99QI1Gg2xsbEYDAZ6enro7+/H4/FQXFy86CTr/tK0w8PDXL58mfn5eT796U8TGRl51+1bzQIBxmazceTIET744AOmpqZoa2vDbDYHlvpmZ2f58pe/vCw3lT+P6r/+67+SnJzM9u3b18xboKuri/7+fgoKCkhISAj67xUbG0tWVhbd3d0MDg6Sk5Oz6M8sLy+ntbWV48ePs2fPHrZt2xay5Wm4uaL1wQcfEBkZSV5e3pJUWvAPu/zXp6urC1mWKSsrW9Tf73A4uHr1KlVVVURGRtLV1cXjjz8uAkxkZCSFhYXMzs4yNjZGZmZm4KJoNBri4uJ46KGHliXAzM3NUVdXR1RUFGNjY0H/vOUyOztLTU0NJpOJkpKSZdlPJEkSycnJTExM0NPTg8ViueN5Cr+CggI+85nP0NTUREFBAcnJySEL+D6fj4GBAd59913+4i/+YsknZf2b8mRZpqenh/DwcDZt2nRHczI+n4/m5mZqamooLCzEarVis9nWdU2vwFWLi4tj3759VFRU4HK5iI6ORpZlhoaGkGWZmJiYZSs+r9FoyM7OJjY2lvfeey/on7ccVFWlpqaG8fFxKisrlzWFo8lkIj09nYaGBlpbWykvL1/UUEmSJAoLC8nPzw/p2R5VVZmbm+Po0aMUFRVRUlISlDpRJpOJjRs3oqoqPT09gaDzSfe+zWbjypUrzM3NkZmZic1mY3p6esnbt5oE7pSxsTFqamoCqRkURaG5uZmqqio6OjqoqqpidHQ0MHEVTFFRURQUFAS9iuRyGhkZ4erVqyQmJlJUVLTsPQCr1UpWVhYTExN0dXUt+nvUaDSBg7Ch4vF4aG9v58aNG3zlK18JahE6k8lETk4OiYmJ3Lhxg6mpqY/9eVVV6evrY3h4mPDwcKqqqrh48SLAut5fE7hbrly5wm9+8xva2tpQFIX+/n6uXbtGYWEhu3fvZnJyklOnTq3r7t7d8nq9XL58Gb1ez3333ReSVTCNRkNGRgbJycl0dnYyNze37G24F6qqMjk5yYULF9i7dy9WqzWowU6SJCIjI8nNzSU8PJyGhoaPfeHNz88zMzNDTk4O+/btY/PmzcTFxbFz585Vv+p5LwLf0I0bNzCZTGRlZeF2u+np6WFqaoqysjL0ej3R0dHLGmAkScJgMKzanB7+7vzc3Bx9fX20traSn59PTk5OyHoBYWFhpKSkYDKZ6OnpWZbe6FJxuVx0dnYyNjbGAw88sCyfKUkSUVFRFBUV0d/fT29v70euok5MTDA+Pk5aWhpZWVlER0eTmpoaKL+8XgV+c71eT2RkJAaDgZGRESYmJiguLsZgMODxeJiYmMDhcCxbw8LCwsjPz1+VOU68Xi/9/f3U1taiKAo2m43o6Gjy8/ND3l2Ojo4mISGB4eFh8vLyQt6eO+E/FHr16tXA5Oly8S9hb968mYsXL5KQkEBkZOSCe9JoNDI/P8+lS5eAm/dAYmLiXa3arSWBV+mWLVtISkpiZGSE+vp6xsbG2L59O3Bzo11jYyMVFRXL9vbVarVYrVZKS0uX5fOWiizLdHd38yd/8id87Wtf4xvf+AY///nPiY+PXxG7jw0GAzExMTidTsbHx0PdnI/l3yIxPj5OXV0dra2tHDhwYNkfWL1eT0ZGBjExMTQ0NNw26XpcXBx79+4lLy+PwcFB4uPj2bJly7rPPBDowWzfvh2n08nRo0exWCw88cQTWK3WwMEyh8PBgQMHxGHHT+Dz+Th//jzXrl1jbm4u8JB0dXUxPz9PRERESNsnSRLR0dEkJiZy7dq1kC45fxxVVbHb7dTW1nLy5En6+/sDdbqWm//sU3FxMRcuXKCwsBC9Xn/LdZMkiZycHHJycpa9fStZIMDodDr27t3Lgw8+iCRJt+TJSEtL48c//nHIVxFWA41GQ2ZmJhERETgcDlRVxWKxkJqaele7aIMhIiKClJQUGhoaGBsbIyEhIdRNWmB2dpZf/epX/PM//zNDQ0MkJSVRWloaskTzGo2GhIQEDAYDQ0NDRERErPveyZ24JVpotVrCwsIWBBL/hKsILp9Mp9Oxfft2XnnlFXJzcyktLeVv//Zveeihh0Lee/HzJ20vLS3lgw8+WHGTvaqq0tvby+XLlwPb9kdHRzlz5gz9/f0haZP/GcjLy6Ozs/MjcyYLtxIRY4n5b8Tw8HAOHjzIz372M1544QViY2NX1FDEaDSSmprK1NQULpcr1M1ZIDIy8pbt9f6DiaHsNfg3gA4PDzM/P7/iAvNKJALMEvPXOqqrq2PPnj2UlJQQHR294uauJEkiIiKC5ORkent7V9TDIkkS8fHx5OXlkZqaSmpqKuXl5ezfvz/kZWBNJhNJSUn09PTgdDpD2pbVYP0u0AeJP7t9eHg4hYWFK7pekcFgIDMzk+7ubvLy8lZMD8tfL0pRFD7/+c+zceNGrFYrFRUVIZ/3kCSJoqIiLl26RFZWVqASqnB7IsAsIUVRAkmz/vRP/xSLxbKi5630ej1xcXG0tbXh9XpXzJ4Yt9vNpUuX0Gg0fOlLXwokMF8pD3NCQkJgZTU2NnZFf8ehJgLMEpqdneW9994jPT192U5L3wv/MEmSJBwOxy3lakNFVVWampoYGhqiuLiYvLy8FfcAh4WFERsby/T0NG63e8WsDq5EK+ubW8XcbjdtbW3U19fzwgsvEB4eHvKH9ZP4E2GHh4czPT0dsiTef2h6epq6ujri4uL41Kc+teKCC9xcbU1OTmZycnJFTpCvJCvv21uFFEVhYmKCS5cusX37drKyslbkg/HHJElCr9ezYcMGxsfHQx5gFEWhtbWV2dlZSkpKQj6h+1H8+ZFmZ2eDnqd6tVv5T8Eq4N+pa7fbefjhh4OaRmCp+Xf2Tk5OhjzAOByOQKWFO8m/Eir+7Hder3dNpRQJBhFg7pGqqoyNjVFfX09BQcGyJpJaCpIkYTKZmJ+fD2mAURSFuro67HY7GzduXPGn6PV6PWFhYciyHPLAvJKJAHOP5ufnaWlpYWBggD179qzYt+5H8QcY/7mpUJmcnOTdd9+loKCA3NzcFT/E1Gq16HQ6vF6vCDAfY2V/iyucoii0tbVx6dIlKisrV8Rp6cXSaDS3nJsKBVmWOX78OBaLhZKSklWToEmSJFRVXVGbFFcaEWDugd1up6GhAYCHH3541fVe4NYeTKiyFdpsNi5cuMAjjzwiTiOvMSLA3CVZlmlqaqK/v5/PfOYzK3rH7ifRaDS43e6QvIllWebtt99m+/btZGRkrPihkbA4Id1o53Q6eeeddzh//vxti5ZrNBqKiop46aWXlq2iwZ0aGRmhvb2d9PR0srKyVlTbFsuf78TlcmE2m5f1IbfZbLS1tfHlL3+Z6OjoZftcYXmENMCEhYVRWVlJbm7uR3bPN2zYgMlkWlEPsM/no7GxkdnZWfbt27eqey9+Wq122YdIXq+X3/zmNxQUFJCamrqqctcqioIsy+h0OtHr+hgh/Ub9OyI/bmlXkqQVd+P19/fT2tpKYmLiit6vsVjLOUSSZZmOjg4uXbrED37wg1WXe1mWZbxeb0jrRK0GIX9yV1rw+CRut5uLFy+iqipbt25dE72X5aaqKrOzs/zbv/0bzz77LCkpKSsuncUn8c9Z6XS6VRUY75XNZsPlchEbG0tkZGSgAsnAwAD333//gnNZIvQuUl1dHcPDwxQVFZGamhrq5iwZRVGW7U3scrkCQfqhhx5aMae475SiKNjtdoxG44o/0LrUtFotFy9e5Nq1azidTmpra3n33XeRJOm2gXZ1dR9CzJ/dPi4uLmhlS0PF5XIty2lqWZYZGxvjwoULfPrTn17xKS1uR1EURkdHiY6OXnXB8V5FR0djsVjo7e1ldnaWtrY2kpOTue+++277PKyub/aPfFTUDAZVVWlubsbpdFJaWrroAvIrnU6nW5ApPxicTifNzc2YTCa2bt266oZGcDNIjo6OEhMTs+6GyDqdjuLiYoaHh3nzzTdJTEzk4YcfJjo6+rYviiXvwczMzNDZ2cnIyMhS/9W3kCSJ69evMzQ0RGxsbNAfeFmWOXnyJAaDgba2Nmw2W1A/bzn5z1OdOnUq6A+M3W7nwoULWCwWzp49uyp3wWq1WhobG1EUhc7OzlA3Z1nExsZSUFBAZGQk4+PjDAwMYDKZyMvL+9gd7JK6xN/w0NAQJ0+eDOxwDRatVktLSwtOp5OsrCyioqKCerOqqsr09DR6vR6TyYRGo1mVD8cf8/cC9Xo9Ho8n6L+Tz+djenqayMhIwsPDV901lCQpUN9qPZ1Bys7O5sCBA8zPz/P+++/jdruJjY0lMzOTysrKj6yYseQBRlEUPB4PPp8vqN1tjUbDe++9R09PD08//TQpKSlB+6z1QKPRBPbBrKdVkcWSJIlTp05RVFREXFzcqhziLZaqqmi1WmZnZ3nttddQFIV9+/bhcrlobm5mx44dZGZmLs8kr0ajWbZxqX/ewGg0rpiaQ8LapqoqZWVlJCUlrbsVpOHhYTZu3Ehubi45OTmMjY3dtozuHxKrSHdAVVVkWUZVVTQaDRqNRrzl75L/9LF/QtCfT+WPq4muVJIkkZ6eHupmhER2djbZ2dmBf7ZarVit1o/9MyLAfAL/3Mvw8DAulwuLxUJiYuK6Wz1YCoqi4HQ6mZmZITExEVVV6ezsxOl0oigKGzduDEntaSF4RID5BJIk8eabb3LkyBFmZ2d5+OGHOXToEJmZmaFu2qozMTHBW2+9RVNTE//8z/+Mw+HgS1/6EhEREXR1dfGTn/yEhx56aNXt7hY+mvgm70BtbS1f//rX2bp1KxEREWtqg91ysdlsnDlzhvr6ekZHR1EUhZ6eHp544gn+9E//lPfffx+73c7ExMQndruF1WNVb7RbDvPz80xOTvKjH/2Iv/7rv+bUqVO3TS0hfDyTyUR5eTkHDhwIrDJ2dnaSn5/Phg0b2LJlC5OTk8zMzIS6qcISEj2YT2AwGPjud7+Ly+Vibm6O/v5+2tvbKS4uXnerCPciIiKCjIwMJiYmAntfvF5v4LCgXq8XCbTXINGD+QRerxeNRkNmZiZ5eXmEhYUxPz+/6jaIhZpGo7klIGu1WlJTUxkeHkaWZWw2G7GxsWK7wRojejB3oK6ujt7eXhRFITk5meTk5HWxwSqYNBoN2dnZ/NM//RMzMzMMDw/z9NNPr/hyJcLiiADzCcLCwsjPz0eWZXw+H8XFxSQmJooAcxc0Gg0ZGRkcOnQIjUZDTEwMTz31FLIsk5qaSkFBgajzvMYs+VGB5XTkyBF6e3t5/vnnSUtLC9rnyLIcOKcTFha2KjaErVSKouD1ejEYDKiqitvtRpZlNBoNBoNh1aVuED6e6MHcAa1WK96sS8QfSODmHiOxYXFtE68LQRCCRgQYQRCCRgQYQRCCRgQYQRCCRgQYQRCCRgQYQRCCRgQYQRCCRuyDWaPsdjtvvPEGdXV1uFwuFEUhLy+PZ599lk2bNomNgsKyEAFmjXK5XJw6dYrS0lJ2794NQFRUFCkpKSK4CMtGBJg1SlEU5ufnSU5Opry8PJAWQaPRMDU1xfT0NBqNhs7OTtLS0sjOzsbn81FdXY3L5cJsNpObmxs4fOhwOOjr62NwcJCoqCiKioro7e1l06ZNjI2NMTIyQm5uLkajEYfDwejoKGazmdjYWDweDwMDA/T09KDX67FareTn56OqKkNDQ2i1Wmw2G9PT00RERJCVlYXFYkGSJKanp+nu7mZqagqz2UxOTg42mw1VVcnNzUWr1SLLMr29vRiNRmJjY0VCsBVEBJg1Tq/XYzAYAmkoXS4XtbW1HDlyhLi4OKKiotBqtVitVv7jP/6DqakpwsPDGR8fp6ysjN27d2MymTh9+nSgYJrT6eTo0aPMzMzwwx/+kOrqal577TX+1//6X6SkpDA0NMTrr7/O9u3bqayspK6ujtOnT6PX6wNlbb7whS+QlZXFiRMnuHbtGhkZGUiSxMjICDt37mTPnj2oqsrZs2e5ePEi8fHxGI1GxsbGGBwc5MMPP+TnP/85ERER2Gw2/u///b/s3Lkz0FsTVgYRYNawsLAwTpw4wcDAAKqqkpOTQ2VlJePj41y/fp0XX3yRHTt2EBUVxZEjR2hqauLJJ58kJiaG7u5uzp49G6iYeeLECUpLS9m1axcDAwO8/fbbDA8Po6oqdrud9vZ23G43cLM87ODgINPT03R1dXHu3LlA1jqHw8GFCxd4//33+frXv87Q0BCdnZ088cQTZGZmcvz4cerq6sjNzWVmZoaqqioKCgrYtm0bXq8Xn89HZGQk//2//3d6e3vJzc3l8uXLDA0NERkZKZKArTCrOsBotdpA119YSFVVzGYz8fHxKIoS6K1IkkRCQgJ79+4lMzMTj8fD4cOHkWWZq1evEh4ezvz8PKOjo0xNTdHf38/MzAy7du2iuLiYpKQkOjo6GBoaAggMvfz8/6zVamlra6OqqorExETcbjdut5uxsTF8Pl8gaVdaWhplZWWkpKTQ0tJCdXU1drudnp4e3G43FRUVFBUVoSgKbreb+fl5Nm/ezLlz50hMTOTo0aPk5OSQkZEhEoavMKv620hJSSEsLAyTyRTqpqxIPp+PyspKPve5zwVqOTmdTrRaLdHR0YESIaqqMjExQWpqaqCge2xsLHl5eRQXF9Pe3o5Gown8vFarxWw2BwKEqqq3BPk/rBvldDrxer1ER0cTExODqqqBOR//zxiNxkB+HX9JXn8w+cMT1xqNBqPRiCRJfOlLX+Ktt95i06ZNDAwM8NRTT31sjWQhNFZ1gMnNzSU7O5vIyMhQN2VF8gcAf1Ez////YxqNhsrKSqanp9m/fz8pKSnIskxXVxfR0dEkJSVRV1dHS0sLVquVsbExbty4Eeg9WiwWZFkO9C5u3LiB3W5HkiRSUlLIy8ujtLSUZ599FoDp6Wnm5uaQJClQiO2P26zRaIiNjcXn89Hf3096ejoul4vZ2VmSkpLYuXMnv/71r3n11VfJz8+noKBApH5YgVZ1gImKigp1E1YsjUaDyWRaMCchSRI6nQ6DwRAINlqtlq985St873vf48MPPyQ1NRWPx0Nvby979uzhvvvuo7m5mWPHjuH1ehkeHqahoQGTyYQkSZSWlpKUlMTFixe5ceMGly5dwuPxoNPp2LRpE62trdTU1GAymQgLC2NiYiJQON1gMNzSFr1eT1hYGHq9nry8PBoaGjh79ixOpxOPx4PJZMJqtRIbG0tBQQG//vWv+cEPfkBSUpIYKq9A2u9+97vfDXUjhKUnyzLT09MUFRWRmpoaePj8WeT0ej0lJSWEhYUhSRJxcXEUFBRw8uRJGhsbaW9vZ//+/ZSXl2O1WklJSaG/v5+6urpACZKmpiY++9nPsmHDBiIiIqiqqqK5uZnPfOYzZGZmBoZCSUlJTExMcO7cOXp7e4mOjubZZ59Fp9MxPT1NbGwshYWFGAwG5ufnCQ8PJzs7m5ycHGJiYmhra+P69et4vV527txJQkICOp2OoaEhampqePnllwOrUMLKsqpTZgqhMTU1xeHDhzly5Ahvv/12SNJcyrLMK6+8gt1u55vf/KbYQLhCibNIwqL5J15DNURVVZW5uTlqamrYsWMH0dHRIrisUKIHIyyaf5fw/Pw8CQkJIWmDLMuMjIxgsVgCK0vCyiMCjCAIQSOGSIIgBI0IMIIgBI0IMIIgJpddrQAAADhJREFUBI0IMIIgBI0IMIIgBI0IMIIgBI0IMIIgBI0IMIIgBI0IMIIgBI0IMIIgBI0IMIIgBM3/B4I+K6zLgFEgAAAAAElFTkSuQmCC)
From the figure describing photoelectric effect we may infer correctly that
![](data:image/png;base64,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)
physics-General