Maths-
General
Easy
Question
Describe how to sketch the fourth figure in the pattern. Then sketch the fourth figure.
![](data:image/png;base64,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)
Hint:
A pattern is a repeated arrangement of numbers, shapes, colours etc. The Pattern can be related to any type of event or object. If the set of numbers are related to each other in a specific rule, then the rule or manner is called a pattern.
The correct answer is: Hence, the fourth has been drawn above and it is based on the pattern that a figure at the nth position will have 2n rectangular sections and these rectangular sections are divided into two rows and 2^n/2columns.
Solution
We can see that in the first figure, there are 2 rectangular sections. in the second figure, there are 4 rectangular sections and in the third figure, there are 8 rectangular sections. So we can conclude that there will be 2n rectangular sections in the nth position of the sequence and these rectangular sections are divided into two rows and
columns
Now, we can also see that in every figure the top left corner rectangular section is shaded.
The 4th figure will have (24 = )16 rectangular sections and they are divided into 2 rows and (
= ) 8 columns. It can be drawn as:
![](data:image/png;base64,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)
Final Answer:
Hence, the fourth has been drawn above and it is based on the pattern that a figure at the nth position will have 2n rectangular sections and these rectangular sections are divided into two rows and
columns.
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Name the postulate that you used.![](data:image/png;base64,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)
Prove that triangles AEB and CED are congruent, provided that AB || CD. Name the postulate that you used.![](data:image/png;base64,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)
Maths-General
Maths-
Madhu makes 3 bracelets and Swetha makes 2 bracelets. They both use the same number of string colors. How many colors should they used to make the same amount of money ?
Madhu’s Bracelet : Rs 5 per bracelet plus Rs 2 for each string color.
Swetha’s Bracelet : Rs 3 per bracelet and Rs 3 for each string color.
Say whether this situation has no solution or infinitely many solutions?
Madhu makes 3 bracelets and Swetha makes 2 bracelets. They both use the same number of string colors. How many colors should they used to make the same amount of money ?
Madhu’s Bracelet : Rs 5 per bracelet plus Rs 2 for each string color.
Swetha’s Bracelet : Rs 3 per bracelet and Rs 3 for each string color.
Say whether this situation has no solution or infinitely many solutions?
Maths-General
Maths-
What additional information is necessary to prove that the given triangles are congruent by AAS postulate?
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)
What additional information is necessary to prove that the given triangles are congruent by AAS postulate?
![](data:image/png;base64,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)
Maths-General
Maths-
Can the triangles be proven congruent with the information given in the diagram?
![](data:image/png;base64,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)
Can the triangles be proven congruent with the information given in the diagram?
![](data:image/png;base64,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)
Maths-General
Maths-
Prove that triangles OXY and OPQ are congruent by AAS postulate.
![](data:image/png;base64,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)
Prove that triangles OXY and OPQ are congruent by AAS postulate.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASYAAAD6CAYAAAAMT+o6AAAgAElEQVR4nOy92bdsWXXe+Ztzrb0j4nT33uyBhAQkJBDqjEGFwI1kWWBbsiy77LLcVNkue4x6qvKoeq63GqNe6sHD9Q/YHjXkKjeSjG1Zxpaw3GCQ6BLITMgGyCTb250u2r33WnPWw9o7Ttx7T6KLEsirvPExgnMzTpyIHbv59lxzfvOb4u7OBlb/9n9BVRERANydm16yxRZbbPEdw+ijf/+W5/R12I4ttthii2+JLTFtscUWdxy2xLTFFlvccdgS0xZbbHHHId78hIhsE95bbLHF64ptxLTFFlvccdgS0xZbbHHHYUtMW2yxxR2HLTFtscUWdxy2xLTFFlvccdgS0xZbbHHHYUtMW2yxxR2HLTFtscUWdxy2xLTFFlvccdgS0xZbbHHHYUtMW2yxxR2HLTFtscUWdxy2xLTF7xOO8GqN3r7x2GKLbx+3uAtssQWAeG+tLMMz3v+3EKsRhEg2wbslWAeiCAISiNUIFyG1HXhCvevfQc75pC22uBVbYtpiDREpDwQy4JAFXBzIuEOTA48+8RIvrybU+3v80R+6h93uKp6gHu1x5bjh0adepnHh+9/xID/wpgN8eZmgTt4S0xa3iS0xbXEOnJs5RFwQjVT1Pr/yL36Vf/gfn+fSfs3f/z/+R372Dz1IvVqQE/yjX/kv/L3/91NcGsE//Hv/E3J/QGNNtu71+Spb/IHENse0xS0oizbDxTaeDZADoRV+6Rd+ju/biaymLf/oVz/JUb5AlwIvXT7in/zbz9IqfPRnP8APP3KRkU9ZdgkL1evzZbb4A4ktMW3xKvDyPyk0JYDkTC3Cj737XfzpP/J+KuA//NfH+a3PPY/sPcQ//pef4pmjjr17L/BXfunn2RsZ3hxTjStsmwff4tvAlpi2eBUEcAVXHAdJhNroVtepdcZf/0s/xSP7Y1bJ+H9+7RP8+y++xD/7xBOYwF/4hY/wtofvp+taPCqel+DbpdwWt49tjmmLcyBAQFBEDMQRDOigzhjXeOtbdvlLf/EP88V/9Ek+/YWv8swzz3J4vOI93/cWfunn/zgjSbQeiHFMtA5zB9meblvcHrYR0xa3QPCS7PYIHnFCiZpsRaUNKnN2djr+5E+/i/c+ss9i2fDSyZKlCP/tn/8oD987RtIcrUd0FggiRN2ealvcPrZnyxbnQCgp8F4zAJgohJquMzRWLJYNFy/ey97OBABPHeMaRpMR47qCbkVMK6KDyQjbRktbfBvYEtMW58ARyYh0IBkXcK/IVhHrS3TtmPHOm/h3H/8ijz51jfsOJrxlb4y0zv/3z3+db145ZHcSGdmUaA0Ln9DYlpi2uH1siWmLGzAUz4QMkgoxAS6K5ZqgF1G9l1deyfyTj32GWWf87B//w/zdv/XzjA0ef+qb/MZ//AwdEVFDcgNxQtZbiWkrt9zi1bAlprsM4oK6AlrIpn+4KO694jsDWRAHkw50hXqiyoFuOSJwP//gV3+b//rCCRcPav7qL/4xfv6nf5z3v/t+LMEv/8pv8sxhJFVvopOa2k6Ivly3twjlxFM/OwFdztpf9DYecvYu3/LhIuv3/laPLe4sbInpLoNwY6RyQ7utbP5Oz14hhkppSanCiK8+8xz/+uOfogF+9o//EO9/1328eV/5q7/wIS4GeP65K/zqr3+CZTigixNEHdEbP6OXR61/whlB+G0+tnjjYktMW3wL9KdHzxiqhnen/Jt/8+s8e7zk4Ys1/8Of/RD36Bxtr/Fn/tgP8/4fvB9z+Ncf+22eePprhL2LzLNgt3Gqef9RW1LaYktMW5wPARMALVGUOz5STufXeP7lI378kYf4y7/wh/nAu9+Ezl9hEjvu2XH+57/5EX7ynfdxMNrh689+k9yHSSpSJAe/B7akswWAuPsN50Lz8b/7em3LFt8DqBf3gNznVoZuuHXGxoblnuDipJAxyUQDWghhh1ztsKh2WYqzl07Y7U6RbKQwYSX7rHSHzow6NIx8gbczqiriBoGSW9pcwq23Rcrzt5PyKbYsv/crS0vN7013smXE1w2jj/79W57b1nDvILj72nrkpvvF+nfA+ufNv78dDLYmguNeYhh3R0UQUaTPAZk55gY4qoBDqAJuLZYczw2T0YhoGZEaj0KUQJ3nqCdaFE8d4g170TAyrcSyne4gglsfQ0lZv3n5v0I3IiVK29hulUJG5dn+W2x87+Hfwz4s/3H+fh5+ln86Ktq//7e/T7f4zmNLTHcAzrugBnIqP8t1Ojz/+8H6786u9PJj/YKb/kApRNX/Qoe/iUJwYywJ6zLRIeWASUWlRmVLyCtMd8hVTZCAtC2uEQ8BGcjGehKmFAGRs+/vONZ3/eqgGO+jO8fw3CvTv6OCg4GktrgTsCWm1xmbd2/glojJzPo7+1nEpN9me8cmmcm6PHajn6T05TKhRCqlJu+I+zr5naw8p+JUnsuyMBtZatyFrmnRZgoosneAji/RdRXeTUkkrGqpNKCi620aIjZ3IBRSyjljZogWYgwhoKplX5hhGJiB3Urmv1/iHiKnV9tvW3xvsSWm1xGb5AOFcG5errn7+vdnEdStt/bf6yIayGxdphfpF0Q3vscQhWRPuBsBJXivc5JihSLuhJzRlCF1WF4x65TczBj7FK0n+MEI23uQbrHHUk4J+ZTohQxlWLq5Y16WjEVPpDfsF9nYrvX29Q9zu4FHXiuJyEDKW9wR2BLT64yziMmAsI5aNvNNIYR1XkY4q24Nl9HvtQIZ8kZr4vG+UZezrrhCVLLWEhU3AEcQVCOiobzWDckJbztsucJODzk+WfD8cYNbxwOXxuw+MKEeH1BdfDM+SViXiO0LjEJLEEGSYbnD3TA3cnZc+9yXQNCwJmkRSpS0GUGaoSJooHiNq6IquPX784b16bezPhM2+e2M/7drvO81tsT0ekF7IjCj5IOVhKOWe2N/CkkFBT9bdomDDK5r5uurx0JAQzi7sIouslya2fscDv3SzIhSBgt4ELIInWeSZwhallZGWcKJI8EJngnZYJWhaeB0SXt0zOraN1ldvc7y5QULG1G994cJD7+N6uAhRvv7VJOaNo/Q9gLCEbZqscUCS1OwRdl+E9THBJ8QKyNIQrXQZsodZhncyvIOJ4oQA4QAHgQTyBhmSu6c3GWCC0EDImXptxkRrZd8QxQ57Gscs/K5ZmyQlFPWjdYva2+rbnibr7td3F0Kri0xvU4YxIRoqU4NYY0BuK2XO6wjm2FQAIhqnwfq80GDpNpvXI6Ini2XsjlKKdcPY5e8FysVUaPjQqlMiRCA4I4ieNvSLFbk2ZJ0NCOdzEgnc5bHp7QnV2mOZ+SjhMdAWlQYe8hohzAaEca7eB6zShMaZrBcYtURurpKbK8T8gxNDWJN7/nkfR5J19eieKmaxRgZohoRR6QkyU0cE3AyEvrt9mLWYsMeuXndCoXw+316S3A19KrIoG3YLvO+l9gS0+uIzWXUzVgv8dioiA2vFUGstHkAMCxhfF15H54m42S8JIyBIIXPRIoGQMzJbrgbMYRCXA7RBUkOXUcznTE/PuH08nVml6+xuHpEmi1IixbtMtopuY3UuxVjIpULwSNSTaDeI2C4j0l+CZ8skXoPlrtIdwFpj5DmBGvn5NRi1iDe4kmAgEpECahUhFhRnDV7uYE7njsyuRdHGYoTaghueDbcAued5jfk63ppwg3HZpv4fl2xJabXCeeR0u+pyeFM6zPcwEWkpKYS4I56WdoYkN3I4iQ9ixxMIaoSRMu1nJ3KBHWBBDQtue1oZwtssWI5X7A4PmV2fML8+jGLwxO6kxnaGSRwatxqYoZgSp2FmAKSK5AJrjt0MRHcqDDcJ+CKVnvE7kG0m2OrE2x5QupOke4lNB8hXpqKvdc3OYZbRilVQmH4fa9vsvIq1RIpKVbICsjDjLyNCuiNcoybl0m6lmncTcunOwlbYnodoetzvlw4tnHhDHfwEM60RIMgcqis+bC0u+X9+t/3Ikr6JLJQEsaigaiBYKXCJgBdh8+XLKczFidTmuvHNEcnnByfsDiZ0s6XaDJoOursTGJFqAWTETkJXe6Q3CBdi+ZI8B3wXTJjOlrGbUctAlLDaBeiFpa0jm51io+ukttDdA5VHiMClhPWdaScwDOkVakIKigRIaAqxH7fOcURgaQgod+zynmVzJvJaYs7C1tiep1wXsl/U69082P4HZwRmIqClG62NQltTNAVhKBaUlEAIlSqpS2kM6RL5HmDLVbk2YrmdMri6ITZ0Snp+JRuOmd5OqVZrJCuLCkjUIlQuRA14LWTtYPUkrUiRAUP4DtgNakDspNthxwiVBnzjHtEJCIYuQ74aEVMLaOdd1ItHyJbg6clNFOsm2FpgdsSlYyRUc9FxoCWlZ1LWfIRwDeahnUwvZMbIqZNGQZQkvxSIrFSjdzi9cSWmF4nnNebJX0Su5To+/aQvkJnG+0j5laMb91R17JM037JJ/2FZ2XxFvr3on+/kAXaDlssWZ5OWR1OWR6dsLx+zPz6Ce18jrUJbTpoO7RL7OQSlYX+Oo4Ckq1sq2eQDhMnayYrSDWm6yCmTFU3ICfkXWUh0MmKLBmXCdEPqHxCCAdUlRHYoeoyLDpo55CmeHOENYdYc4znGe4rkq0IKZE9I2aICWKRiOIakT6aAjBWN83Hu3GZfHYz+O4c5y1+f9gS0x2GUqgrkc6AG3JPpSxXLiQRfBBihl4H5JR2DwN1R3JGyIgLnhJ51WLTBcvTKafXj5hfP2J1MqM5nrI6meJtIvSSBMWJokR6ktSzJVBRKhiSDDcnO3QCXYi0GgiakbpB/RixFyEvaHVBCAn3mpZLIA8jvBWVCXUco3ofjBJUS2hmSDcjjPah3UeaC1g7I+cp1i5xmeOpwz0jDoFC0G5CUDB67ZOV9P956vAb+g+3uaQ7CltiuoOgOuiX+twHQrZMeao02WrfwzZU04db/Sp1gDCuKmqt+yUNsFhh8wXLkxmz4xO6q0e0J1MWp1OW0zndfIk2Ceky41QiME+GK0gIRBeCFAlP38tLEiNjiAshCcmUzoxOahqtsBiJY0HyFdAXUP8afPM54tF1fNQQ7ztgdPEHkZARJhgPkgm4RCQEcmUkd0QjEmvq8T6k+/B2gXdLumaOL64jzSnJGlwa3BPQG9KFjHmiyy2YETYLBRu4Ice01hR8N+AbaoRbNAvf4nd3L7bE9D3AeQrt87rdBg3RsBQzP3MA0KBoKEuyIs6kL5vTa3iKHillQ7qOyjts2ZFOZ6yOTjk9PObo8hXs6jHd8SnzWb9kM6dCqDJEDVSiZVkmvb6pTyoHLdFYqV9ttIRYjWfDrCWjJImsSOzHJTCD9jmuff43mP6DT2NfuMrpLjz4R97Mm//0T8MPTmBnF4+QwhgPoGFM52AxEOOEQE10g5QglVxWbFZIdQVbXKPVKamZEWwFtsSlRTRhtiLlBUokSN3rxAYHhRsjprOq3CYxnKddun3i8J5tAoVcTcEtQ2rX0ZmIInGEEXDrwFrE7ZztuPnseeNjS0yvAZsn+Hq5pb0jda/L69OpJfcjVsr94oQsaC8ptEFLqLpOynrfvDsIsL1/ofbq7dK2IpiVpcx+rEltR1rMWc6WnJzOaI8LKa2OT+lmS7rZgnA6o1q27OW8FmSGUJLobolkstZCZTuzQ+kU8LMqn6KoKKHdJbDCtUG1RUKkqQPd+Drkl+Gxz/Lc//UJLnxuzj1HwqUQuP74S7zw8r/nLf/bJfxd9zAbPQTNmP28xLRFdESlQhBFiGSjnKnieARqI4x3CfuXCM2U1JzSdafk1RGkUzTN8NSB1KhX4BXW77PSx3JG+CJS2lnEsUGKgSOeQGV9AxEX8ICIF2XY8DoJZ/Ytw74RoYuJih0+81tf4//85U+yOBD+zt/8k/zc+95FvbhGNR5zfG3J//5//wu+8NKSj3zorfyvf/tPUqUTRgTMagzFtUGkRRzUqu/+SX2HYEtMrxG3JFL759dqbTbU2F4ugKK/6RXZYehRKypj7xPb0C+bhqUcJe8TFCSXVpbUdVjORWwpii5WpJMp02tHnLxyhcXhCel0QZotoEnQJSZmRIdaKC0sOjTFOjk5OZ99Pr0i3DbN1gSGHjqkv9ANgkPwkstSUaKsYH6Zq5/9EtVjc+6ZwsVuAs2YndGcJ3/3CvvPfZWD934ADw5eI22Ha0JGmaqqgVC2xxSR0EcdCuro+B5kPCZOLmBphnendKs98vIQlsfQTag9EyzjXcItFcJfW+N5iVwGOYUP/k79nveNY3jDtAIrx69/D10nzn3dwxhEyTmzU1e89U2PMD3+OJ98bk71sU/x4R/9IQ6IVNUun/zc4/yrT36dK8B/9xc/RBKYjCK26oCqb2oOuNyOMfEbC1tieg24ueQ/NMJuvIJydx4ug7JEAvoeOCMDCcOyEaRv4o0Cpkh2RiEQQi+IRItyMiWk6ZBVQ1ouaRYL2sMp7UnJGzWzBcujE5rZAmkSmjLBhCglIZ77C2/tGNmTqvVXo9Db6varmUFVvv6eDCTqZE2YWrHQdSUkJ6wScWWwEzk9XpISTKKgVtNiUDnLBprFEslLRjFjUgG7iDRAIUgo7iaFKPoljpSfTg1ENI6pwwSqXep6H8b3YJMptpxh3QLaE0RmSOrIqcFyi+SEeC5iTDFEAmIB8XB2TL13+5QbXRlyKU/0OjMtbTwMgtlylNWdsQc8dbz5++/lz//cB/nqP/4tPvvpr/FfH/s6f+aDP8Dly8f8ym8+yhT4b37k7fypn34/lZxA6vrlnKNe9oFYuOuS81tieg24WZw39F2tsxNS7sjWq5VNBiVz0f8ZQnIj5Uy2TIUSQ+9XZKUXjGyoSVE8pwTZYNXiiwYWS/LJlMXhEacvvMzi2hHNcolkx7tMTEaktJcoThUiWZzsjmXW0dnwDUJY59I3viNsstJZTkYAA+3wkMgZ3Io/U+UOWUF3eeDBA67uw/EMsraEKnLFOuQi7F2MYBDNyASIdcmj+ZKu6xAJxdkA790XzojCKKPLNYwRJojvQDyAUUvYafD5KavZCcYrqI4hNCALzJeILQkk8K4QnRXiU9v8znDeCAUVIffKsfLfpXrpbkW6UGSejCySrYPJio/+zI/xTz/+O3zh+ox/9vFP8+GffB+Pf+MZ/tMTVxCBX/qFD/PAhQqbzQlqmCVUrY/oKOO25HYc09842BLTa8SmIHKA3NDi4H0Suc8V98u2nIuXtomUCpiGku8Q7c3UAIxSh8/YqqWbL8mLFd3JnMXRMc3JnG6+YHE6Ix2fYrMl2mWCgKXSsFtVvWVsNkS9z3WVx2BSgJTUmIT+vn+j1dHZhSqbZDzUkbqSKXNwFwbJkIcaJhfY/8BPcM8ffZ6n/83zPDBe0BrMd+Hhj7ydnXe9D8IlVCqSZ1y09O2JIBKAYg5XLG/D2QaJk/p/BldEKxRBtUKYgCbY2SHoBarRLsFO8NSSVjNyO8WaOZLmeFrgtiLlRCATStNhcdl0eqO6s6V0OZo1qrEQmTsqvZFfLsSElP2nVEgUlnbM97/jzfzFn/kwX/6nH+c/f/7rfPqrL/CJ//AYL68SH3jvW/iZD78HaU4ZCX201B/7vvJZKqxGvouKdltieg3YJKW1EZsIljM5l74uwZEQQZSMkLOQs5UptV6iIkWIMRJDLF392Utjbpdg2ZaetdM588NjmqNT5tePWR6esDo6JS0bNDsjESqcKvYap/46XrsUqJD7PMjgZeSbr9nMt+jGVDnftJwdOvvPnA7UEqSMGmUpqolMS9IR7D4I73wv7/hbFfU7f5Mrjz8LPuJdH3gfl/7Y++GB78flzeQ8RmtIaQlktF/Sss75DES4qecqrclOEXsqVgoDSAlH6x20GhN3dsEaJK2omxm2PMXaKd6eklanpGaGywqzGearwtZi4EZU6xul+8jXDdGIauhtYcqSXLzkvrIl6AsG2qvuCY7Zkp//mQ/yy7/5O3z+yjG//Guf4Cuf/jJVCPyFP/cneOhA0eWSmtJUHULoq3rl3FCPFCq+e2KmLTG9BgxmZu5OSiW5ioZ1OK9aLnQTI7uTPWBUSIxUIkjuEFGqqirVr2xYk+ialna+YDVbYNMl3XzB8nTG8nRGdzqnOZ1hsxW2WCGNlWbcURg8TRiu5SFBe5b22siAbd59NyI62fj17VwGfbGur0IKQiJ7SyMRi/eiF/apfvQ+3v7OHd7eXod8H1QPwe5DUD9ItvtwHaNiWEi4OeJn0dGtQcIQvnVnZff+aUf6kVNgKjgBwh7R96FqobqAji4g7RRvTmE0hWaOpxXkI8hTPHdYboszJwmxBJYRDMEIJMSLXEKEUilVQWOF6xCGOk6g7VZ45dhqxvc/8jC/+Cd+nMf/+W/z67/xaWjhAz/2/Xzkj/4Y0l4leup9tmI/McYxMYKFPuE3dGrfHdgS02uA9uX9gZhSSohGYgxUcYiieg9rVzIKIVJVI+rO8dQQB31SzrBqyPMl86NjpteOmR2f0Byd0k4XrBaLYrLWdMTk1C6MQiSMS/4ok84Wjz0pnTf6+ubRSQNujEduH+XvyhaAo7Kikoz6iOz34nIfjC+idYZ8DZNLUL0Zt3uwtAd5h0gFgT4mkM1F26t8IsU9gCKV0LV5W3kkhsEFsLDSU1dpQOsxGgUd1chkF0kX0GaF5xbvLmHdCbltsNW8JM67JW5LPC/BOqJALSX/U4YlSBmyQEBjIEiN4Vg2mrahyQ3a7hADkK/wV/7cT/Br/+WzfPnagmoMf/nnP8SbLxhhviKY9ISs5SYmDmTM+4jpLlrGwZaYXjOGZVwI5XLyocxcekPIlulNEVGJSCy+QlWneBasaWinC9rFkna+pJnOSyPt4TGL09IqkhcrctehuUgGcIEQCBKIsc8/eN4ohd9KSoPn2XcSDmQRrBdlijjBO8ZujPMITZfwOCJ3B2gaE8KSTiOZCeoHBKuISdAgpTTu9SDYepWdffYFzubfDXqxgowUAzl3skBWL03MUYkaCV6S9GoBco2OGywlSPuE9n68WRCqOdpM8WYKcY6FGd4tiuQgLxFrSoTZN1GXtLyCCI6SFawGDTW+UOJuhcsR73jgEh/5iffw6L/6LA+/9UF+6oM/QFhcJrqVXJmHYlkjmSS5/15nRoF3E7bE9BpgZgQtntMhRMBJyfrcRyblRPaEaEUIgRCqQkwSIBnSZBbHx1y7fIXp8Ql51ZKXK7rpknaxJC0bWLbQJaIXZXbJozhq4OpkzwwJj3WCVs6zQDm7rm+5+8pGxCTrp24rhDIpyyfvc1nBjSpn6kYJ3QSokW6ML3eLS92oI3UdQQJVVtRz39uniFdAu/nur/q5QqlWDRojcVn7hpeBCWV4QiIhIfc5PlAx6iDEWKEeIAc8ZSTtI5UQqiVSzfHRFG3nSJpCOyUvT8nNHO86UpqXvd3nn9wct9LA7Gi/8jJGWrGzew/JTolVg/opDx5McHf2L+wT0pQxTUm4E8C1V/H3kgjxtbvoVi6wxbnwwfHRSxlXKXyQUiZWI8JoBAbmTam84XhV3BYdw1ODNBnyimZl2MkJ3fEhx1eucXr5KrPDY7ztkM7wrkNSJmZHU8khhVBMPfqbdJ+P7XvKbsgjnR8ZfctoafB/2mCvIbk9KM8N+kT9mXC0VPuc5GVZZZrICh2QNVNpAq1BEl6n4iluzqSKpeyfjaROCEDo0Nz2PYKvsrEbjDrowoYmZvqkvAuD+QkRgSqSi8E5YkLok/lmg6tATQiCkTBJuO6T4x7UlyCviOkUTUfEySFpfpVmvsQ6wXIfufZOBuVm4WQyQWFkThDo6oh0NbQKQZnlQrzZMzHUKE3/2bYWRAUHtXK+KQ6aepHr3YMtMd0m1pX19ZLIsJzpWqOIs4tvovctHeJKCHUpeyejWc5ZHB6yPF4xP57RXblGd3LCcrogLZbYqkU6I/SuACrFbymGSFRF+wdA6ueuDQ/oy/3fwWj/5lHdQxrHhn3AGdmVvn5KW4eUkd9ZrJTt1UAzWVaYdmU52yfKTbyM8Fbp36Oj107c1jbaTV/Ye53D2qdKhBGB5KAZgklpBcreD2gQ0AhaJBWu2jdIRzwYYi1io9IKsltR7dbYdERazLBVU9wNKEdepCTGIwnzRGWOBFjQMpISEYJB1QtH25bctX2k1Kvte62F3hC+vkpS8A2OLTG9JggaFHPocka19L7lLhFaQ1cZb1tstWJ57ZiTy9eYHk6Zn8xpj09opzNyk4lWDoT2Wj8V+ikhjqqU4QMiG+R48wW5WU+7k/G92cbeyxIBahMqA80OltFcNF3r8egiZIUQIio1iBJUew+n3oJPBLOKPNrF6gN8NEVWC0K7IqQWWc2xNCeIEjTg4miWkvez0g4DGYIjaQnArq6obUXU2CulNvbSq9xh7qaR5Vtiuk2sFd0b50aoIrGKuAZcI0ig6VasFh2+WsF0RnP9kPbwmOX1Q1Ynp1jbISmhq47YZGqHcYjUISJeKjpmuaizzeisI+fMzQrzzcbhrTVswWZT9fAzDn7m5r3Cu4R+3gsAHME9kKwCCX2k6utEnYcdOgJLAm2YUO1fotrtmKSGuJojx9eAa3SzRLda4iERY0/BZiAN7g2OIdbx0T/xfg7e9UEevHfEfXuB3C457zI8/+Zz92BLTN8Gbo6oRaVM7ggVuXjzQz2CyrFFppk6Jy/NWbx4jfb6dWw2ZxSgDmWZEV2oJDAKNbUGvK+utX0y1SnOlWa5j6DOtEY3+1UPjaR3M26YXuzFwE7RXk4A9D1+xaBJyf2EYULEYhE1BoFo0vuRF12REckeyWroKDCKUJNgfgynK9LyKqvjBYvTQ0YT2DsYQ10S11hHttQ7RHS85/se5uH3PoS3S8arF/DcleXkFjdgu0d+n3D6CyAnRJQ2ZbIrcXKJvfpeLC4ZpQOmL61o22OapcISdkcwUcFCLBdFdmg6suZ1I60iVLGowA17VeZYII8AACAASURBVLo5a4X5/aqQvjtY3+3LThqevNHHHLl9Fedt4ganzz65nSm5JFXpvc9LS5CFSJcgjGoOTxc8+sVnePobz5EWcx64cIEf+cEf4D3vegTx4kljy8Du7g6dDWr6FlqlO5xx+OyLzC8/S7O8xoV7d9ir7kWqgEShdoo1So7lhpLmhPllIpmajPRauJu/x3kR090UGW+J6TVgiGhy17JoWuJolzg+oB7dg06grmbsXHdOrnewynjKmK76htQ+SatGTuV39GV3FyD0drZ/IHJHdx6GiDKLYEF6f70h4S50lok7E7705Nf4d7/1n/iPn/o0L7/8ErbqONg/4N3veDs//aE/wi/+2Y+wMxozosJOGnYu1VRmMDuFl19m/tyzXH/yKaaXv07Kp1Tpfri0Dwf7lE7phKiSpYKcUe+YsETN+kro+Yn+u23pdjO2xPRaIMVkrU2ZVdsQtSbqmNHe/ciFHap951Leo9Ndjic7zL7utNNXmLVzlEysIEqAUC4Y7b21z5wjz1dv33rSbs30b8YgfDUUl4Cr9b2CVooJqlw5POJjv/4b/MbHf4tnvvQo06PrZVx5qHnx62/n2rUjDi4c8FMf/kn2RhEdRdSX+NEhi2e/wfSJR7n26Ge4/tSXWZ2+gtZO2h8jq1Rm7nkxlSMEMiNMOgJOZQ2KgIfeRmWLm7ElptvEzfmlYfHkImgMSFCyOBYmMLkHdi4hF8ZcHN+HTA4I4wi+oHl2yezaAk3GWJ06OEGFEKq1p3agn4oi3GAct/7sLTF9S5wtb89cH8rxK0ctp0QMkae/+jSPPfoYT3zmC3QnV6lJZCqyZ1545mtQj/kPv/NpfvQPvZf9hy6idDC9hl1+nsuPfYZrn/0dZk8/weqlb+LtktGFCpsvsPkSW+5gk9KcbS4k7yUMnomeEQJZ6n6le/f0wN0utsS0xlo3vfHzLGlaTnU5e650cJK6BtPAeLxDmFwkjPbwahfTMVT7cP8O+6rE0LHDgqOw4nI7pZtPCSJgRkWxYx36u4re8ayrttcyn7/Zb6iQ/zvJrkVPpv0x0zJoDzcwN6o68uzXvsGLX3+Odt6wFwNVtyLFirkLOVa88splvnn5Za7PjnhHdUB7ep30yrNMn3yMF778GU6fepyd4+tcJJMFulVLc3TK9PoxOxfG6GiXqoosDTqDMNilQLFFlqq4U/qWmG7GG5iYbl67935E9CH22ngsgm8II9Vx70Ay5Uzulb3ZEKmACnCCLLB8iucG4gE7O29Fd94G4/vopKb1QJuFarzH5KERu7VSS4unU45nhywvv4QtllzsjHFKRM00wVgFQJXYRWJyVBIeHNFiW2YIGopvNZZ7ozL63vc7AOteQWFzAABI8XnS4lVeXjs4QZ7dAMoI9BvJ9ryk76vR8WY0qdq7fqK9qNOx/hlQJNRUkx3AimtodprckCWCjHB3dnZ22UHQNhOee4n2mcc5+vx/Zvrko6RXnmdPA2/a2WO1mHPUrWivzzh55ZBwzy57F8e9BUoubpSpMKN5r1qnoYzi0vVXLtXX8wja7qq80xuYmF4NftPD1q0FZe2U+9aA8rz3L8Epp7TUiECQBveMegvuxGoPHd2HVwdYnEAc02kgqSKxZveeS9Rvf4SD5ke5nw558itMn3qGdnYIySA6BLBA6dPXwU96aHDz/qQGYigOJ1paLL7Dxa3vPrwnLZyzoVBr2//v6EcNfkpFVD0ovAMpOW9/+9u594H7OXjwfpaXnyVIhesILEIy3vTI23jzfRe5b6R0X/8K0ye+wNETv8vJM1/BDq9QpYYYayLOWJQdCSyazPL6MbNru4wf3Cfu76IYlVjxaOpjuKKVz0UWIqF4tuvZtOBbq3J/4I7ya8JdRUybd5yzA18K9MP0j3VLA9pb4hrmmSCOS0Y0nfVjqGA5YFohVU0cj/G4AzpCY4UBXW5Ydi0ixs5997JT/ShvunTA3mSf549XzA+XdGmF5xLOF+tWJ2mCCDXlki36QC+avex4EIKG3hn21SUFW/Re4UPDLeCeWC4bfvi9P8iHP/gTHB4e8jWMoytX6ZISq5qH3/lO3vcj7+GjH3ofFzjla5/6OMePf57p01+Gk0M0d0wmFaLKig5TI1SK5szi8IhwbczB7H7Gly6gsYxTF6TYJPdBYTIjmyOq1LF4e6WUcPd1+9HdiruOmG5WUJudTbcY3BJ97e/j66ax8reG0fXWuakY8OsIrXdhtIvXEyTsACMiypgM3tFYQxehmexR7ewy2b+XOOtIl0+4thLyi8/Tzg6JJogbqpReLXeGfgXR0oQ6hPqlLczwIT+1ZaZzYWYMAwwGZHdGoxoS/OIv/CnqWvnMI+/gxReuYE3H3njMu9/1CD/1kz/CBx55gGtP/A7HT3+B609+nuroOrJYMo5CiEJHZm5G8S4QQu7whZNOFzQnM/KlJbI/QYP2+a2iU0NlnUscRnUNGq8bxoGtcXcd4LuKmGAgmBsjJtxwz8hghmtnhCQia1Jwz7g42TJqLaI1oRojk0vI5IA8GuP92CE1p9YMlhiFIupzr8hhB9/dZ/IDP8JbPFBPLvDCpz7J/NmOmobKErG3uw8bnbQqigQtk3L7ZlU3w4OgWnJgb6xE+HcGTt+v1gsrce0HiXa4C29/+CH++i/9Jd7/ky/zjedfwmdL3vnA/fzQI2/iUlzxjc98gquPfpLF009RHR4yWS5LS1EMoErC6VSLtXDKeHJEOmy+YHb9iPHBHpNRJNaRJhfr3RCqtZnDcHw3l3B3k5Dy1XBXEdN57Rs6+AkNdlxrw+zB5wjANtrtE5BIlolaI3EPqS9hoz18NKENFYhSW0uVO0bW9onOSNYRbiWB7ve/jVhF9jyw33SkuqK7+gLL06tMAkR3ohcr/NznSEII1LHG3VmtlnTm1Cp3TuIb1tHl2XTbWy+6s4uvZFu+U7jhc/or/qxNLpcCh0oZ/OBCrcJqNmdvNOLHf/SdvO/H3sWuOzqdwSsvcO0rX+baFz7D9KknkZeuUZ+0jCxRVZDF6RRclK63OMl92Krm2GJFczRleemUyQP3olLSBTn1rptVTYyRTIYMKfVL+d6u2c6Jou4mvroriekGSUA/Mld6ZaMKuOtG5G+lsuQlSev9EAHVgOsEwoXScR738ThhpWW+rlhGcqJKqRfTlbZRax2vlWa0Q7jnQSbvDTw82mFyzwHf+ORvMz09xlcdtZZptz4S2pSwLlNXgXEVepfM3ms82zB87Y45cV89bnt9NrAUAYcEcywRizldW2bM0Tl1NKoIOlvgz7/A4WNf5OXHHuXkiS/Svvg8u4s59coYVdKPa/K+yidkK2Zx2jtDCJBXLelkTns6x5Yt7NuZIMV79wMpNxvfsLAZ7G02ieluxF1FTAOGu3lJePf2FuuRQSCS8b5TrbxumFHdl+hCkRnEuAv1RXx0L2l8gVTv9MWzTHYrSwYKqXl2ck5YTCA1aTyiDc7eQxP2dvfIauxce4XFfEq68jI5t2QymfbMFC2X9hXru+SHCboORRN1l2PzIi6yA3oFmPZThytEI0EjllI/5ryfLpMTsjjCX3yZ+Vee4OrnPsXpM1+FV56nnp9Qp8RIIZa6SH8qDMdA1n5UWYq0g5RZnUxZHJ+yms4IF3ZKv54KEgJGMazT3pZ4GA2/RcFdR0xDuF9OgkI0KvQzxHp9kPT+Ry5Fee1lrHcuf1jGG2lA4wQdXcTHl/DxBbpqQrRe84RAUFwqzIoXdStClgREUuOYKoso7B1cYued7+RtH/wQB6Oa08e/SPfyiyxPrhO6VEY7RgVXVk2L5dJcEUI/GSUMlh53d47pPNsTd0AVkYhqhUtk1XRY21FJYDyuiqSg60jPvsT1Lz3K0Zce5fgrXyZdeYGd9pQYOsZR2JGAqtD2wyfN+vc2yoSYIMXuWEtiIM8WLE9OmU+nhMUeujMhaHmPPFSB5cYl7t2kVfpWuOuIaRNmXgSV4uuZZOefGE42wzAIhrrgRCSW0dQy2kerHYKOiw6qd/ox0aJjCpCikAkkdzIt2jhVHTAxlgqje+7jgR96LxfHgcsRrgYhBUiHLWodgZK0JXdldlkMaJC1dKF0gm0x4Ow49rlDtKitXUhdhuzEUSzRTbuEK1e5/vjTPPfZR5k/9Rh2+Xmq5phJzIwqqPr2oTK0tzftc4fsqPde7KJlypI6IoncdCxnCxbTGXG+YKeuiePYpw3OhKU35JK25VXgriIm2VAaGyqBMj8gFeU3CWdZpALea5VUS0neM4E5WElid1ZDtY/UF6gmF5B6jJpQWREKmmhJdqO4OlEDESMg1O4YCUJG3fGV463RxhH+wMNYXTOm5p7RJeKXH2fRQnNyGU8t40qJlVO5o5IJLiUX3zlt8NdlUuvQaLweGbXx3A2v6ZfONybGh4vTb3gtDAnss3/fDL3pL0uFS84MYDZF5Q6YkrridxVCzWhkRG+gndJ98xs0j32e1Zd+l9nTj9IcvsRI54RJ3wgkoKHMemtNSFZuYAFDpQyk6O2yigOpKa0LTQIWHc31KXawoNq9SDWpMPeSg+yXcFSBYKHkqHpCVYSsivWDSkWKmPZuwd1FTOtTvR/HrYJYKb8bJS/kueiDNCg6VOnUEe+KGJwR2Ue47pKrPcJkpwwi6Bs0JQtYP65ABMdAlLAWIwy5iIR3CUmOubIywff34YGKPRmxI3vIPODHx6SuYzk/pI5GGDlRHM0Z78pyIjtY3wv2emBNBq/WznfOv24L60EDt75xmSd3RoAmG+8uFHlGf0ELgmcnLROoM96tqNXg9BCuPM/pVz7P8Wf+E/MnH8OuvEi0hqouyvvO1m+JipCGyNVKK1AIXmbcDcUTp0x9oRR10yqzuj5juX/ChXvuQXZ2kFAm9QpaulRU1s0GMkRM/XO5/27DQOC7BXcRMZ0P0XICuQ22trYOtRWKQT2heOuo4CGCjtHRDlLvoFUNGjEgdR3upS8rUHRF6o5772DI2YhtekcA1dJgWklg2RoaK8aX7id8X8SnDRNbUI8DLz/3Vbr2mLF3iJZJs01wVkCbYKJv3IN53vLa+5TazRHT5t+URmgpI8fNiRiVWnGfXJxgLz7H7KuPceXzn+PksSeQq1fYc6jqEZmOZB3u0AbIoRCcyq1TXDY/a0Df5IS3HYuTU+rDXZr5glF7gEwqXCgFko3IcIszvFHP5dtESUKaO9l8XbKt+ubPIe8EStaAoVCNCPUuYe8iOtnH4xgQupRJboiUQZQMkZYBOfc+lEXxKwZZU1kKxBo8Mo4Vy25F58Iqjti95wF23/PDjCTTiXOcW/KVr9MtryFNwh0aoBFoK6UGKvM35E31XGKiV0B5P0F7kJkNymkbihYRDUqlUE8iYh2sTvHL3+T0q1/i2ud+l+MvPUr3/PNMcsPO3ogqRJa5wxE6ccqA8IAj1BiV+A1bMZBkeaq0kgRgIkrO0M2WtNM57XROWq7QSqFSEoa73u0X4bm46/eJ2dmMMTCCOBK83BmHMjCCEzAtCW8d7RP3LhJ2LiDVLkYYRtYTBII4Oiwh+p664W7qVpZyMoxbkv62n4yR1uQq0gnMRk584EFqey+XVEm1cvKVwPyZOYt5Rw2ECOMYqeKIkBr8lnkbb1ycl8eCfsnVL6eye3EzoE9I1wKnx8yff4qTpx/j8EufZfnU48Sjy1S0uLeslpnOFIlOJf0yfxjTjSB0/bTc/vOkr9ziPSmVY1CJMtaarEK7bGhPZiwPTxlfPCiVwHpEiJF0F+WNvh3cUcR0s0L4u1E63exFyjlDn4dQLT1M7k4V+pC9J5ucE50bFirMA7Hepdq9F9m5iIUxLpGqUrI5VQmKoGSZSgJdSiZ2EM1ZYSdEYxmS2ZWBhvXODp0G5qljaZnxZMLorY+wO66JE0V9xenll8izFbHrmHhF8DHqkcYTNli1nLNfz0sgD4K+jVdu7KcSLfadeesl6Oa7bKq7b2e/lz7Es/8eLurzcIN/95AQ3thWByxnqqoidYlYV+RePT18SBAhSy6iRWugbcjXn+eVr3yG57/waZZPPcn48hXuSYnxhQmnS2e2bAlNZhKUIIERxfNbOinVuH60k+qwhLN1J0Ehp/K9VJSRBjpzYufYdMni8ITqwi6yP2G0N0ZDKHYofSM2/dhz1gLMfv9IP1z0DRkPn487hpi+1xqOQdA25HmCBjSWZZtqr7tEiqix6VilRKoiRmbsVTGB0wnJShk6RCWq9argTM557fujqutWCM+5FP0sAIprSQ5lczx1ZOtQcYIqBqxizejSfYzf+W7ub5dY03L6lS+x/MbXaadzdrNQdU7q807Ddxv26eb33ezD2tT6DBf8jfv/O535OCs+3K6aeRAcDtu++bM4fAqrtkVVaJqGUV2v/yZI2edVUELMcHJEvvw815/6AteffJTps1/Fr7/EaLXEXOlGO6S6LNdEh95GJ/QTfNUMNyFHowt9twCD5K23U7EhArdeViaIOLHYTNCdzmhOZhy0iSjaT1GBnA1JGTcnaLxp/5QUwN1DSQWvCzGd1+W/iSEBrTdNkHi1O//5J/r5r1tHLf1PVBFVYuwHS+KQE2B4drpVx3K+ZN625FFEA1QWcWqcEckUs6ITj1FAcomwug4A1UiUSAj9WGzpHRSJpXerCkglWLOiXS1wcUbjESEqTW5YJSBUTO5/MztV4G37F7h84V6e6wInTz9JblvGucUnpcF42E9r/Z6c7TszJwRdR4zD/r35hvBdaYM4lyzPf93NT99MpgBN2/C3/87f4c/83M/xN//G36BZLMsx7WfwVTEiQcE7WJzgL3+T48c+x9XHfpfF176MXHmRuFoQvCz5UurwKjCpdwmesdRCyogrmgvJYOX8ydJHkFpILARFJeAudKnDciYbZMmY9oNMu0xzMqM6mcKqQ3zwZvIyGDMnopfy26Do760Mzz1Gb3S8bsQE5yteN7UuIYRbnnstxLT598NFGWPVCxUzlhI5t3jqSG1Lu+hYzJbMZwsWGSb37bFf7TAa7yM6BhmVkNtzKRGbkzWTSbgMjoNC7kU10o/QdglgFcXzCbI6FpTQN+/WlpCUkZRIFhAd4+Nd5P63EEYTJsnYmy1JAt3zz5IOr1JZGiZMr6PAzQjJ+oSwmZEzfZ9WIf+c863HBL6jK4feCWljm87XMbFWPdx64zpbhkOsKlyEj33sY/z3f+2vQX/TwYtuTGIszDc/Jb3wDNMnvsy1z/0u0ycfJR69zP5ygfT9bV02aEtT9qhSsnVk7zBxslhJsvcOp1k3d0qJnMr/rK+69uczRnZBvUhF6DJ5sWJ1MmN+fEo9naNhlxgVQsCCof1Szr04WLgIEouBXO9zc9fgjlnKfS8xRGMiZcQ34nRtx2pxymo1I3ctzXzF9GTG7GTJbL7AqxFv2X+Qg/2L7Fy8Dxnv4rFCHQJKIENO5QJUIVTlDoooLlIqdrnvn5PeyjcEOs90qUOCMNkZETxD18GqYyxgRFKGpnMs1oSDe9h593t5exQO90a8/F86pu0puemoEqgWwhHty9saioOCZZI5KTkpwf/P3pvF2JZt6VnfmHOutZtoT38y89ymittW1a3mVuOqsrFlFw9gGxueLFDxgHjBbyCBeMASEkhY8AqyjFWmypSEEAIZmQdE2chC1dy6TebNm83N5rbZ52njRMTu1lpzzsHDmGvtHXHi5I3MPJmnVMlUxtmRe+/Ye6255hpzjH/84x++guB9uaHTCe/lo0xf91hV7rMFg3GybzYj1BejsS7Z6C1WKROaVFv81l/7q/z9v//fcHh8zM50y4iO3hehPyUvl6zeepPbTz/NwQvPMHvxefTdN5jqCu8sVdCJQPCQhRBNc4sYrazICUkovNwTxAQ76g1vNJU5VBRX2fHmpKWzb1E46BLtbM7923fwl3aY1g6/u0VdV2QRXMyICillUxsoOJfrP+ATZJk+csNku9z6d/txJTWvQ2Gj5oyxG3VYq9Zqp1zkkh+2uH1z98wGYkvP0u13V/un34FyYuMCU8iPidwsaFLLqmlYLuaslkfkZsns6JjD4xXzFcxaZeor/Hgft3MR2dlHRyPaXPS4yeRU6AbiyzGzsXLXpQYFzSFLtN229LeXIBBM3ldTKgQrK/J0GdqodC7g/ITJpSfZCR7pWhazIxY5Ibd+xOrggIBxogLedmrb1PEJ0wrSYECqQowCXgtXSwt3y7wIy3qVa1fIjCIFlHUms2KMiCIBPNwzrpAbgSKsl2jJJCvT0UwqzHqV3o8qOli4gXfkHHZ98gYLXxwJQZLHJeUv/tKv4auKf/5Hf8y/87f+bXSxwAUFF8lHR/DWLbpXXuD+i89y8Mp3iTffYTxfMhqZ8Y5BiE5YCfi2o0oJq3LsscITJvKENVIKIbJkc/sA1JA0m9fkQLVDSz14aCNutiLdOWRx6x5+Z8r2zqRw3BJZtCzPTOmzaUzwnlb/CRofg8ckJ34Xsd5p5nVbpbyI9k+YColgbFgna85c7lO0J4W0FIyzsu4xYu9xhqF4X1jeWJbGtHigaRrmsxlxeciyWbBoWtpuRe4WaLukXS1J0UG9xWi8xc7uZbYvPkHYvkyuJnSqRBJOrDbO8AC7sfqQ6mGzAEp2ieRKn7OSiE7ZPCqKPIfNhQysX41KwtGqI9TbTG58lqd+5depxiMOvu040u/RxUzOiRQjFYrLyY4tZ3KGytfs7OyQNHI4OyK7SD0OOF8MUyzzKCcB1yG0k/W59L7D+tzWut12JUyOOEscblwLeQqJtadKDN/gipe5vu5KLu3SPeIDiAcfkEb58s/9AruXLvH1Z57h7/yNv43PGWIL3YLVWz/k6Jnnmb/6PIvXvke+f4eQWurKESpBPEM/v45o+0BKaFGacCdPcn3l1vvmxuune9iU9uBiSQ0pc+ZyRppIOl6wPDhiMl9CSoXCngptxeam731ndkofAsj9+R2PJZSzMCqdALkp6eneddchw9QvUi2vbywBNYNmKdU+S9J7WEXl0RgBBVux9oI5KbP5nPsH92iX91ku5yy6Bs2JoB15NbcFQ01db7OzvcuFKzfYvfgk1XQPZExKZeVlKfhRf1Dnk66QvmQC8M66ZKSUyg5p6gUD1pLNwLgMmjLOZXAV/tJVdr0iXojNjNZXLG7fIh7eQ3LEdx2aSn86B1JBFRzeC7ngTJoNB3FOodwUvZTK4xk9paLHbiAWd9kLuBKmqgvU9Zjf+Et/lW997U+ZHx+xGwSWx3T33+bwB9/l3e8+zeqH36O7cwvfLggu4QPkIBCERDZvMgsuP7RB1gcaJ/oQFjqKqFFDlrMZ7cEh27MF2nQ4V4EIES3qqdarsHRSMPTqk2WXHh/GtCmMZbunRwtrNquRG4ebh96hUpxmC0VKKCDOldZKpT99EdrS0iInxUTbtnRNy3Ixp2kaurajXTU0zYrV6j7LZkETI8GBSELSyoxatvq3re0tdi89xXjnOlR7qIxRqoI7GKGuRI4na7beY1gpTNkdvTevIJsetQMrVRApToXisxJQNAtV5XGhgskOVJ4RyqWs6NZFVs8/w2q1QhdH+KSMBFwArSxU1Jg5OLhHIlONKipXoVhYLUX//CHOwsc08vp6i/nBiEN6b0zNg5o3CS9j/vW//jf5J7/zj7h75w671y6Q3n2TWy8/zd3nv83s1edIb7+NbxYEbfGSyD4X5UmhU9CsVNkZtvdRjMLfwplHrSjNYokeHNIczsjzFeIFH7wpkZZUqvMmbJeMf/CJK1t5LIZpSNWzxp2c95YiTcmMQp/S7l2RPs1fimJ7ApqI4lxgYEOKkjWROgtpmqZlOZ+zWq1YzGcs5wtWqyU5JXu9m9F2LQnFe1CX8KV1U0qJgDCebrN98Qn8znWodkmMsPL1tCbFiVWfn/dmHjJNgEdIfa8xMR2o3McCQiltydTqEfH4DBAMo5lsI09+mv1qGz++QJfgoFkR44p07y6o4SlUAfUVqUusWhOfq0c1Io7YpRJSmtbU47wLpFzHTA8HrsNxRWzKc6JT84p//otf5ur+RZ77kz/kp/7ab3D4g5e4+cw3mL/6HHLzberjIyrNaAACuApaVzyyUiHr1VlN41kx+Ac9j/LTY3EFNEVTplsl8uEx7f1j8nxJGFc4501Wq48WvGFtQ6OC/kM/IeMjN0ybofEmf2ggwnlPCAG8I6eIIMTYotn6cIl3BgCLR7QoShZPy3spRgorHciZ2BmHaD6b065WLBcLlosFXdsSY0eKLamLpiapCSRTVxU4CJKoNFNJQJ3D5QC+Zrx9genF68h4jywj6wOmBpJ6kUE69/0EQKeJjZY5s9S5lExMSkqWbKx0L5ZOFqvNih00JNqsSJgw2b/O3mdHuKblgih3UQ5XzxGbOV4Fn+3mjpoJI8sYtU2DD6F07SjqneQBlP7Ih2rBHNeJDEsIlPozseMSJzhfkbtIM1+Ss1JNdiB1fObaFX7rL/wa/+x//n3+4hNTfvzM15m/+hL61mvsdI0V7XqIXuiCEVGtPtL2FZ8dXo1ZvUlbeRjH67yjl4gXJ+BcIWqWJEKXyIuOeDhncec+YVTjqxrvPFmEuJHt0wF3tbXxSRkfu8e0ebGHLJ2zJoSSdXA/claC90Zwk3UpgkgedpE+ZZTVZGvbtmW5XDCfzVnM5rRL85JWzZIcOwQITooCZYZowKOrKltEWXF44/bkCldNCdNLjPeuU+1dgck2yQVSz4WCUtqJpZV5/5uawJAp1FyEYINHxZOkI6viRalcnxXL5JRpu0wrEDGZX+oJ/vKY/dQy1UiazZjNjol33kFXC+oOpDXg2VdamMpK7hI+VBZmDJmyj29rPklBE4ufJVpeTEIR0Q448aScyNE01+vc2obiM3/piz/NP/mdf8HX/p8/IH7/BbbefpPt+ZzJWHCVGR1X6qp78JoMHk8lvhglUKcfyhidOpPhUbFkjhQDGIDcKflowerOzEB3SAAAIABJREFUfSY7W1RbU2Q8MoxvM1Ggay3xT5Lw7mPDmE6XR2jOxJQg2Y1nmTWPd37QsxZkKCMBpWlXtE1L0yxZrVYslwtWzYqmadBVJHcdKXZ4TThHCd8svU22LqjeV3ix7Ieq2SrEEalwk32mFz7F+MINwv4l2JrQJUjRDKLkTNZsn+ek1MSdEw/o0cxseBpqN0ouXoLFlZmYO5Im23Wlz/wlJGeCOhwVoqWLcF3B5WvU+YtcSC3dqObeS9/h8Huv4A8PGWvEh0wIQjWucTmQu3KzJkV9Sd87Pn6wtWS3Sg7eDIVYysP4Vx3ExKgaUXtHcB3M75Nv3ePLl/eQtuW5r/8xP6Ut24slYy1cqdoRS4Yxo0OGy+OpnSdgHmOWRCIPhulRNQLImLG3deHwIlQIKWbawxmz2wdMLu4wvbgP45Fl4ySTyORkDZpdT3j9BI3HlpUDhoufsxI10pW+WwnFizPCnCtl+NkyKFktC5dyYrGYc3x8xGKx4Pj4kOPZsXGaVBlJsDBLoK4qW+gpEuOK2JX23q4PE42Z3SUhRqsud6Oa6d419q5+lvH+k8hkSgpCm8xYeFVckdG1FLjviQqc2+Uu27eW5gLOeSuj8MHCRa+kIgDnXaZzSq0gwYTiKoQgVnOXU0erCakceu06k2nFtYv7xNGYw6MFzbJF50fUqrgA3jvqMAJvOuIpRZtn/xFd9HMOE3fL1oVGHIqj7RLaJSbimUymhkN1R3D/bQ6ee5506022ovDGa2/zuaf2mLqKsWSidHS+hEZmmQxTSkoQR+UtZHYAYtI3FGZ5Pz6MbZJibPseA1aK5KicUUO64wWzOwdMr+2zu1wSdqZ4X+FEaLuEZAhIKVz55IRx8JiZ35vtlFTXWIsPgdp7QqhMzjZGural61pW7ZzlakFTsmpNu6JpWpoCaJft3yrBRYa+YpCsOLYwfUXFWnwrpjhZcK/YKSkpk+mEnQtPsn/104x2LqHekx2mp9SzDjXRV5evl837wwKUQtLLhQ0lpraItxtFxb4zOjN9URKCAfc+O0IxJNErCzo6QOsR9eWr1HXN5cUKt1yyHI24/9ILxOV9UoTsk1Xe4wpxVTcM6wcdeurx/Q4ZQMkeeyKD9wGyow4BCR6Wc+LNNzn87jO8/vx3ePeVl7i+lbl/Z4U8uY93HpJJHC80EVGCegO5S27MqcMXUT/V4qE8wnCpB7+BNaerrPHgPBXQtR3Lo2Pm949pZwvC3g6MTYfc5HcVpcSg/79hetTj7Ant2dsW99tN4ZyYp1R5gghIRmNLs1ownx2zWi1YLI45nh0ym81JORF8MNBUlVFw5Ro6tF3jTzkVbMWZtxZ8TcqRlJTkvIV6RLxLJHFkt030V6gv/DRbV38Kt3WRyJSUakYCuZSf1EjZzxyi5Yd0PqBJzQioMSVM0TB1gGFKqhGfE3Uh6/nS6y4mIDqECicBSl+5LA24Dk2eKBWMdmBvwvRnHNN6yl2ZcHR3iX/7ZWQ1J5JhnFAnLEMmZbFyFsnrDsB9eLXxYLWBa9KnqDcUWaJJBrts2a3Sq89lT5UDHZkseSAxDxiMrhOqLltzT5L9eDHQu3IeP45U2kE3I91+k6MXnuXut/+YO89/g/TOXT63PeZbdxqO/RS2QY+OTC65JzhqHo7bOEXWXMJl22iiy6xKitUDQWwtauFQaX/Q53ShemnfnvEf+zXvTc/bJ8hdRuctHMxJdxfknQY3mVKNHJ2hiXYwAw/lz4dx0nNM4WMxTOv4vYB8aoxbMH5PFRyiZpTaZsHx8QFH9++zWs5oVguWqyXtcml/HYKFYrL+NsNsNpzfAqjb+neWlUGJmlFxRXspEUTRUCPhIvXuk4z2niLsXCGFCTHVBsRrsrq4nAoHy5myZVFxPves5MLBKkRSU39NCJGsGclCKDC0qkfUlxtYrJmBWJjnYsaFiOTESKBST5srcqrJ9ZjqkmeE5+KspZ11pOcrjl9/mXl3jI8N+GTSK2LYhpxllDaGUBoBFIMiWUjlvHvPIA+UAzPcTo0R/17T02Na3gXjzXY6eLiuEiu0nh3TvfVD7r76Eve/9TSzV19A7r/OxajMwi5RlTePFnzhoi9JEjMwqqbLLQpDmRJW34bauugcdGKdsCzZ64YQKuf1lJz0jt/j+vZToMUjdpCc4HwB1/vSqDaRDles7h4y2tul3tvGhREVVi6D22iw8Akaj01d4IScSdmJpOxSfSFnjJHFYsH9w0PuH9xjtZiRY2fExNI1l2QA9PA52CLvlQnWQ3qiOAA5l1o0VapSQ5cR3GjCeOsi25evsb1/iXqyQ+sqUuoQTaU1D6bdpKWqfOBQufe9goQ15tanqFNKA/HUSxjwES3kOzOG0XAyUYRAyAUYl4qKmmVUOo1E5xjv7bP95S/ymeCYbztWVWLx+qtIO2PUNWz7EZ7itjlXSkBg6CrTh1ectC0WZhY+kJ0Bxac6NQ9WCTcYsxOvlOvhCrHWBXMCiwUMknAaoV2Sbr7JW9/8Om8++zT5le+Rb73F9tgRdiesxjtsT+e8e2tGuniR0WiHpplTVWpJlf7g1TKozqaUqGZ4UuknYLbADfWEJ86VD2YgymXDIIsegC8Jx6ysFgsO7tzDXdzhwnIfN6nwIqj3gxH9pI3Hri7Qh3HrjhaUUuxU2NpL5sczlrM5bbsyN9s5w5/UNIaytTY56WVLPuXBOHpNor6BJSoEzQSxfm9Nzriqpt7eY3rhGqOdS7jJDuJH5LYp+jkWYuLWsia9t9d/7wcdfWvozWyQU4HEuqzEYzhXkcOwkCEXOVl7LSBUUYkxEn2mrQKjy1epak+dF4y7GbXLtG/9gHR4H6+JMYa15CAkB9FZMW5/T7hNg1IyZptRXg+7iTokG5EC7H2DDK2ufzbz6f17svY/juCFqhKcNoYp3Xmbw+9+m4PnvsXqhecJb9/Et8cEgWokTOvA5e0R784WHCx2uCYjcjw2mWTWUVhvYJIUUbeyl+TBKMmwbrSE0YNR+gDwW38pXTmInDOSdcNDFOKq4fDOXcLlPXaWK+o4wVWuEG+tFbl76Df8+RyPLSt3kitS9oTiSeWUybGjbRpWqyWr5YrYGfmyDh5fvIlcFAnMU9j4NCnyFcCJGI9eqL6oIWK9dysR2gyrCH5Usbt7icnFa/itPaimgEO0NZe8z7SQ13eYypASfr9jLfFrvw8sZzV8wtpBQZZS+4eRLSVUpk+ei/B+FkjGcwKTWKmAmDKtKn48IVy+zuhnf4HLXsmTijvfSqTu++R5a/V4ApoEZF3tb//a58oJ46+DcVrfsCWkVWcGVXsthbXDsokt9a/l4RLZO4JzjEKFE4X5Ec27r/Huc9/i4Jlvsnr1BcY332SyWhFGgVXX4KpEqDOfubHHj799xBsHSy6PM5MQUO1OAtFuWAoDbJNL4teL2NrKmNrF5nU6Zwh35pCCJ/bZtd6Ii4WaXRuZHx4zvX9EXjTQZaTUBOZkcirBfbJM02P1mNZYkwGQKRsnSLzQrBrzlmbzQcvZFkt4gGvygBqmKMpa0XHzthDZwDoUXLYyGBVPFMFPdplefoqtK0+h9RZdEvCB4DxOo1WgOwWScU4M1Hrf536WlHAfvm0Ko4kaMW/oCJKz4R9iZKNcItYGE97vaQzeO7RLJWzI1n5oNEYvP8n2lzMpt7A4ZpmA199lfnBE7QXVaNpCBXcSkUKLKChdVpvX4oJokfxQxDyl5EH9cCdrMaaZHnMp4YwwlJlQiLWCGYfgnRFg54d0N1/j3qvPcfvFp5m/+jzjW28zXRwxVmh9oHVClzpUV1zc30LGjneXDUejgCcz8lLC4PU1z4MIwnotbHrrWuRxXf+iW6+v8w7VtcdurcR73e5etM/IvgGhbU2orzmaMT84pLqwg6u2wFsTzJSz1VDKexuns9jq/T3izmnYziKXnhZy7J87/Z7zft55xp8JjMmJK4W7FKDS9JkW8zmL+QJyJoRQvAYrJ5CNBXVissqNnXvcZzNmoKxFV8h3xbVuWyWFirA9ZnrpOjtXn2L74jW03qKNdmOX9pdWw6ZWrzcYuw25jw8DU56WkDVg3M5jE/JQLTrR/TlmaMWRnaW/gyYqoMqOqmSG4irRZEXHFdWl6+x//meZxsiRn3Arf4ej1Y+oc0cdOtrUkbuMD45xCHhx5BhNqVMs0ykig4HqNwBRWYeeiXW7a4fpTVFUFDRb7XPvNYS+ASlIbvExQrMkvvlDbr7wNG+98C0OXn0e984b7C4bdsuqXfhIDFaq5LoFO6PAhR3h4HiFe+oyqnOyZgPAKXVramHpEF5SsB7KVBf850S42V8F+UB7UAlzS92nWHdmTTZ3QRy1KjEpcbbk6NZdwoUdtrfG+MmIkAPq0uBlPfjZ+p6/Pyqi6HnG6e/5MAz6x1bEuymra068EIK37qMp03Udi8WCtlkNtXFOAinHdb3usOOVG7pfXYphSKeMEvRZFStWNRkoJbaJVE8Y7Vxk6/J1ti5epdrZI1KX3TNSYfIgiFqPMacW6oh9sWhvqD74xXjwQqphZc6KlQ0s2QjzxAyBEc8DUbRU5Ft9XVUV8DTmQhwFDTWhHjG69ilq5/GpZtXWtLLF4t3XaJZ3cBi+oVhNndeCdRUPyOhFOkxob+yds556XoIFyepMGA7T1RYvBWOS4UZ14iwElZIZ1w4WB+Sb7zB7+UXuPPcMx6++SL75FtXymMp56kkg5o5cOaIT6pSp2wX7qeKzuxO+d3PGYjHn0g64jmF/6gFvl9d403C/awkkh2mWzatghqy8332QS6w2V945NAnZ6TAHtTg6TaRVw+zgPvXdAyaX9/G72zhvtXyaMxrX+ONZXswmPnn68bzj/NLVp07vEVMZHnNJSpFAzRmw8hNyomtbVqsVsW1JMQ2pNFVT+ZOyna25UDKEB+WNDEpdaz9jTVEonyEqkD1tVpwfM9q9wGTvMn6yDWFkmbtYUtZqt6tVi+s6JNAi8yYO18cIHxAAP9ONdoXtXiAbwRV9nvVNLirUADnT+Iy6SHKuzJtaJpHi2aRE6oQsFW7/KvVPf5mLaUy1c4m3v+2584MDJjkwDiNoM13boFmpxSEltb5OWEDPV+rFzZwEKl8RXACElFNRb0h45wk+0CskSLLmASklxHlcFSB1tDff4NZz3+HgxRc4/t5L5HffJMwPqVOGSmhK8sG62DrqmNlJHTo75vN72/jLkbE4wkZ5kJQl0StSSjGyw9wP6+TUjb8Bfmf5gEapfOzQmYeNKDJnfDaKTExKM1+yOJ6xmi2o9nawIslidDa8n15uOJMfahQ+iKf08L/p76U19/D0eJTG6bGB3z2ekkpbbucD3jliijRtw2q5JHZxLZ4mZddwBrrKJppavKbNENHpRng1GIpyo0px7EXIYgzhejxma/cSW3uXcPUUfA1aOqg4wacM6kxsUJPhusUzs/q1j6iWw8hC9Dnn4qchVm48GCiXMg7DIlJQu3G94PtT7aeiSwiezjuq0Rb++g326x22treJzRG5u4sevIEu2iHr2MPSZozsOSMPUlod9TeKIzhf5qW/88t1KFIehrBTagzXbZaIidy16OwWt3/4Kq+/8Cyr772K3L6JX8wJKVM7UC904iy/X6amzjBNoG3k6six/7knuBCPqHMmbmj492FYcXKH8E2wyDJvOuDlvY/SD0g5GQxRlmPPbNdC/tSU6ZYrVvMFs8Mj/O6U8aU9vA+2QZ86GnFiAsoiJ0I2PWXAPuxYcw4/XETwfsZHL3tylmtIkbgVyzp0KTMOFC8mE1cr2sWcbrUsrZS0LGpwfVbDPsWyHQU8MNq/7SA+2ztSoSg7MGBYsnW/cPaYE6TocPUuW/s3mOzfwE8ukn0gZyXFliCCBPM2DCkp3krx7Y3pbF6NYSePJqY3m1JCRO3Nw9oI9KGIkz7DJINed3ZCq1D5wqZPjklndYZOAO9pA+jehLAd6KYrpukrXJl03Hruae6++hIhNmx5oQoQJdGRabMZk6mMqKlZxJYmWVavyhkXW1zX4nOH1bw5xCkjImMJSBKaVska8KHGeXCpg66heed1mu99i+Wz3+D4xWfp7rzNqJkZZaAoT64CrABHIKmjUkv9L0zlj504R3xHyEt6JzptXA7ZmNsTTwxQdcHwCq7XJx2EEgKe875UEZKzMNsCA0WjXRznpPCklEYSeWTXK8eOfDynvXVAd+ECcX8P3d3BjydI26HaDcmPXpWjP+aUIWVLEllTBrfeTNQyt2waKwUdNu+N4z7t9fTGusyYbszX4GX2f3OWETwrCjjH/fExa373T/W7v71uE2dknRxbmvmMZr5AOyuWtS2mCMqxdrsFsckdQgu78bSEOvRNBZ1NuAnn94tViaLGB5IR9WSP7f0n2d5/ijDeI4snD2L61n1VXLLmhxogF1e6xARa8B2K7vejnb+Tn9eHwHbNlZLhNyH9ksnLWWlFyAI1jpBhlErtYIaUhJSh9YqGjL+6w94v/QzT7TGHsxXx7ZvQdlZxnzNJEtErqwSVc+xUU3xboSmiWa33Wo5o7nDEkslLg3RJpY5QPEvfKR0eqoAQoVuid9/h8OXnmH3zayxffRZ5+w1Ce4xzCe9MbEEqyM6R1Ru4nsBbgRAL73GSGWuDS0vwRpzMwzqzcZZdORnEbQb/p67C+3AWck9279dsKh5mj6UVL6d1dv2CFyRm8qKhOzhmdeeA5YV9Rhf3qXYmpjoBAxbWY3tasCtzQ/uSn76Kotwb2vu5J1bRmcd9VjSmZ1QQ9sbNXn/4J57+uPPeGY8NY9rk7oQiLSvZ0zYNx8czlouFufteinSEAcDF5m9gHTo8ImvXVZ2UHm4b7qcIkqU0L3CW5ZMR1dZFxruXme5dYrp7kVxNiBJQSSB+w+gVhcmSFty8IP2Fl49FLySfvMJqravBSmQEa2rQB2EZJYngvSf1c5UU6UBUyU6QXNs8fMbx2a/O2I2J45ef5+j111ge3WfsHfUYpBYIgXlaMdclEhJ1st50OSdijHQx0aaEixkdOUI1JsVI11nBsAsVYx/wXpFmTvvO6xy+9BxvP/tNFi8/D7feZtS1VN7hJOOdWkuq5M2oaiZ1atwrxzo5QFER7Y3B0HXkMYwNL6LvubDO1RRPv1gWL0JVMtMaM3G54ujOPeTCLrs3ruGjqSGkyuScM+vicwGLGFQQ8RvJhd6NLq9tlEz12vrnMRP9/fVe43Q2+VGMx2qYtKR4fAg4TXSxHRQnV6uVhR1OcAXwBR4IcwdcadNdd5bWNw3lwugFvHp8wUaM6eSg3mK6e53J3jXq6SUIU3A1SZ11SC0clkKqNnE1dMC9+q+1iFEHHtXZ+8gHfe6sfeekwe1bZouTgePUZ/CSpTDBi3kwmOcYWiUnR5usueKoGuP3r3PpZ77KhXrCW67m8H7D8nBFiB2TCONJResTB8sZOcNeVWGfqCSNpBzpciTmTBJBxaNeiK3QLK1zy2Ts8DWQFuS7b3Hr+W/w9tf/hKNXXsK98yPG7TFblTCqPd6pYXoqG7rvOhBk11pFwwqhMBZKto3HMzImQliOzpUNok/YFDRiKOLxmO64i4aVNUdzmvvH5NkCVh1V5dHK5J41K1HN1PiyBj2uIKhqBqu3gmp4a2GaQfm+s3h08KDHlB6iZnqChrDhzT2q8dH3lTvjWAWsNi0lnPeEyqMpsVrOmc9ndE1D266oQtECR4pwP8UYWOyupwyUvV6A2cJ91FIEOciTljyxZogK1eQSk0s3mF68wWjnCrgJMXtiVlIsQLOzsCmjQ5lGkpOmZH2ep93e9woePshzZz1fZHnFDX36MhRGeKFAenufiJH2fDZNJxPjD/jRGHWO7DzuiQnOOfZXHTeoOXrheRY//D6L5T1GuUVHiUnlyXVC20iOWsrsBF8FQhXwdY34ipSF5apDoqeSMZXHhP+PDmjvvMHsh9/l1nPf4Ojl7+Bv36RuZnhpzdBnR9+xTXMmaSkjUUcQMQWKcp3TgPWZJ5KLm9Lzlh7LKG70UDxcbnLL7FrjAVHD7BzWZr4WyFHpFg3xeMnq3jGT3R3kwjauLgXOOQ1WV1mTcEVl2OxPQACyNkawAWaf7ioMDxgX23BPgXRavCPd8AIBThFAH6oGeo547qM3TLCxsW+wtEthlPMmxt+lyHw2M0ncrsXClYB485iixiF8oxilIXYus3PyerjynNUaDZOk3jpkJMiuwk0usHXl02xdfBLCFrgxOXk0baR1xTw3xdlNWA5gcI42TvZx3QOGJVhpiseMU1IrUtWyU0cxINxlAU04ddTi8FVF9MKqbWgkszWZ4q9/iq264tMXr3J75yKvNZnFDxqa4wOmKbG9F5Cxp2kjMVrI5IPH1xWurgmhwntPzplm1VBrzXi0xUit71u++WNuv/AN3nnum9x98Vnk5utMl0vGo0R2ELMxnvuII6vpVWnBVmox8mhf/Kv0S6qE9xRjecrD/rjGwCRXHe71E/SY4rH4wsjOMeFVGHmhSQqrljxbsLx7n+0Lu4y3p1TjCnGeOPQkGwAE+88VqEIzKWajsGxUEwyQR7EuqmlwdgYYfSP66D07kTWQ3rdhHyo2NuAT+3v7Z/iWzTCvXKczQfJT4+MxTBu/u96FLBiIL1MSu8hyvmC5mNG1q/WNL9YNIxeWsT/LAJ9pmKRggtl+MqSYUIToKzIVbrTNaO8a25duMNm7Bm5Citb6SVTwKE5MikSctfXevLSycV79+Dj1sjdHn6F0uWgMOTvOoEISITtBvZDVkbIOQpUilsXpcsZXI2LbsVxlXFVRXb5OGG2z1WW27x8hwdP8+BVicxdpheCUZdcOYnyu4Ho46/QhYrVglQh1jtR0sLgPN19j9vIz3H3269x94Wn0zrtspRUj7UBMgiTbSeG83SulTwMiRcLElU45RYurB3LyY7sCJ8ewPjYAYinrMud1596+Z1zOiseabmSULkNcrFgcHLK6d0R1YQc/rQg5E1Ms4YB5TFoaY0rZiDVna/uE4L0rShu9GGLfeSiTNa27ELl1EknWB7s+H3eG0sTaITsxzDbpA68NTsQ5xmPlMQHDztE1K2vRvVha33b6JpJKJpm0iVjGwSallJ6ckfIECt9oTYpzJbPXxURLhdZj6u0LbF18gu1LTzDeu4L6KW2XyZaHA8n4or+kKkNYIWIXSoYCMDY4MnIScH8kGNNPfs4JZpAyOLUi3uAsXFDvUO/tMcuQOLRCZ9OkCqVgVGKycolqhA87+AsX2f6KcLVLHE0n3MoR3vEczW+xlUGzJRGyM4+s00zUVBQfMlUQdscVVdchzX249TqL577Ju0//IYevfAe9+QY7XtnfniBVxUqXqLNw2Cr/e28ATDqldGfTZA0gFFOf1D6wOTlLj8tIbW5ccNJp21QrMJ1xq5kLYszwnDM+JdKyZXFwyOzuAaPLu4ymARHBp2hdm0sSpu+92tfSaS5aU4CqQ7N1mrGkTw82rMNKRJBeGqYcfW9ELQQ1DbPNMK+PXB42wf0dsMmx6j2w8ziwH7vH1P/40mlWc6aNHcvlktV8Toxd4XkY8U6xSU4aHzhcKSHL6ThWWBsKhw6qAM57umTCZm48Zbp3ia39S4y3LiD1FpqrUl2v4DKebHpARPpmhOW+HppuboZyov3kbxjLU6Heg8/1W6p8qOd8EbwjJ1yRjXFewHs8dtxpOIQCKJNQjSDeiK5dYnc05dZb7/Av/+nX+NGtt1EPT9y4ym9+4fNc/43fxKeO5UsTFq97Dg/eNca2L9gPQpczq7Zj0rWQE0EgVB5W92nf/jHtyy9y77mvs3z1ecLNN9laLQiVGLVBIYnHC6gvi1v7WjZTOQhaBFUkMzSG17OmtFyDR1wqcd6xuQYfkE3pPcAycu9+6EZ4lCG2HavjOYvDY7aOj/A7gaqu8YUF3qVE7NmazvBYh+lp5ZJcSgga/CCpc+axnsCeTj96kAcL5k8bm9Of1f/eN3Xtx3mZNI+tiNc5A2Lb1vS6F6UpZUqxSLy64YSsGlvLTlo4GsMkPcQwlZ/Siq68rwDYzlNv7bB3+Sq7F65QTXeAQI49YGrhgvdF7aCPj/Xkd5z+Tju503vl5olvvvsMQ3PiM87/3BAS93npWFpc9eJywzmYApvmSNJIzi2ZRGxW+CqgseV3f+/3+d1/9I/59kvfZdF/z9hx48kn+A//1t/gP/nbf5OjUeCeS9wj0S3ukeJyKA9JZbc2PllGUoSuYX77Td76ztc4/s63yS+/wOjOTa54Rac1R23H8XyJG9WMR5U1euwzjapln4j4nAklDI3O5Gp7w5TKRAxgdz/Xjwn063WnTl82ZUPmRQp+U9L7myFQH14vFwuO7t9nfG+HsB2Q6bT0qhMr5zGfyyoUxFqNa7Zmr2kAyQPOF8O0gXcZTv6gMToNkitrmaJegPHh7PIzcKeNzzVHTH7iZTmXYRqAs02r+ZCd6ASnQW2FqFo8ldUWrRPDQJwqGlcsZgcsFkd0cYlqpArBvBK1xgCSHd4FvFg/d1UjCg6LH+jbIAmFRJlX5FCjjFAVnEQyK1QiydfU4y3C3pOMdp7EhZ0SY3dIjqUrarYyD6eQPc55QrbjcWLEPh1ugI2dSOI5skACDwlBP+hQb8YAnwx3KdXraEJSh5NE5RwSR2h2JALOZUQyVUrUYcQ//t3f4z/7e/8Vbev47d/+D/iFr36ZRTzmT7/1Nf7Z//YH/Jf//f/ItWs/y2//xl+nbSHmjttvtKzut/iYqLpkC75y5ErAd9Au4N03SS8/zfLFb3Dwygu4m2+h7Yqt6Rjw5M7655nhTKZ5XrqXqGY0GU6YVQsFARqnRFtwhVndixubNZBS5DxQtz/moTAQX9X1LH0t/QeNpZ5VjaNUeidmEVqU5AoT3CXaJrI6OmJ1dEx7tMXIB6TylhQqHnKXM1Ju5aCscbciipiSRRva64X1Ye/gpW14dUMYZ0O60D6aAAAgAElEQVSwbjX9/Z5Kdnyg6Kj0D/Z+ty7O70HzIRvOhkfIhp04Y3xgj+ksn+C0xIKCYRrFjuUCuHmhdLCFrCtWy0OWy2O6aNm44K3mKqWEpoQoVK6ykyqpcCMKWnzu+xPNilPBaQZpEfGobpHFo9KiboX6ZDVk033q3RvI6ArZTXFUxsPRjkAoxDxBk31vLmzqXASgk1i914k4W4ezfkjY1j9XPKYH/vb0+87/XAeFnQ4+ONNmKqBozkpqOxSHjw6vFdk5cAFPxI9GvP7DH/Df/YP/gXkn/Pv/0X/Kf/1f/D2u7wTgPvcP/w7/8eg/5/d+/5/yO//nv+Rf+zf+LXZ+7S8znXRUqWE+b8nLI6RVBMdoa8poe4z4SPvO69x6+o+YP/01Vq++iN5+F+2WZJRl7PDOMRmNcTW0OZuRkqKHjoX6g+g2BcQvlAB15im6svPLIIFpmulOjCn+eJymbJiYWKushG1qqpQWXR5NEUlQqSDeLmZSw9YkmKqAdB26asiLFWnZ4naVMBKSN/VLOgwbFOstaIXU1lnFCKZ5TSfArflN9Eah99z74z4ZGdgS3cCWKLLLG4tvjVWB5HUW0DtXNnwQ8Sc+tN9MHrZpfHDDJCdDqM3fT6QnCykul5vVxKzW8FvXmq530zQmbyJy4u/BRK60xOFDynMDi+vd/X6yREqmQpWUO+uU4aEKE6hq/GSf8fYldvauELYvkKotcEIMkCVbZT6DfbfdTSA7S8lnhOTLeTxgXIrROY9h4vTfnn7f+Z9LAlrE+7XIi+DMXY+a6NTA0m3x1CIQnMEHfgwj+MOvfZ237t4jXLzIv/d3/y51NWJ1Z8Z4O7G/u82/+2/+Fv/r//J/8My3/4h3mhnXfvGXOfILLjQdIXlu/+gHLDPgR9Qq6NERkczdV17mh898m/bFl6nu3aNuE3X21KqkeYcLjtFobFnP1KIxD56w3Tc2l1JoAt706wrzuRBn+/3XdiwGcVFAa+j8OYGNRzhCEqqk5kGsnVer1wyYMmkUXGeG1BdJGzsRxZdK9aYBXXS0h3MWh0fs7G7hx8G2P5GhmYVLufTLk6LjW4iV5SbJRToIzhaUe+hQHTT1T73wwP/1CZXNqMkVZ6XX8EIE591AAn3kHhOcDPEe+jrFpm4sMDAGa9u2LBY9tpSGlGQyFl0pPGSw8lpcyLMqfzbMor0Xa0zZdUuiVmQ8Mh7jxxN2L36ay9c/zcVrTyH7F1CpAKgmlq7yGxMm2KFvaj//WRxJjbcT2KgpzIap1WKtzFFwsTNMw4C8coKRO+/eZna85Od+41/l6qVLrDxML4xRrOzk+hMXuLI95rWDuxzdPWDy1Z/hiS/9Jik47m+PmY9qjm7dRkc1brFg8eorHLcNd777AovvfJf0zjuMydR4giZCSmhUYoqktCSGQnfAimVzj2gPl9pAm1z0qXJfblI8KUcxRvnk32kDPNqo+VxDlJJtUPC2gWksa6o2GoTvFJqSUfRGgSiBHil3OAchgi5a5ncP0C3PdGeCTCs0VCTvUTE8NiCEBEgeWp2b+N7aCJ3Wk/8ohhYsVmRd3XEaECfKCQnps8Yj9ZgeOAB7pXhMpgLpioveLBsWs5mJwbWlEyyW8tzU++nBsmExplIwu/6mEx5TD7w575CUyamzjRQhEhhP9tnZv8rO9j7BB+u+kbuh9XhwflDSRNeqmur1xALvSyIeGA8Ixm2+Z+M5STyqoRi+Yo6aDMfVq0zDWocouUh0amJwUQma7C45mjMFrsiY6VLI2pG3GsS3sFrZ/RUqYImuGojKeGsLfvrTqD/iwuqY5sWXSNoRb79F+/oPaG/fpfv+jxj/+HViWlLtb1EVBVBxDpyS1DJLEWPVj4KVsOS8rvfbzPz04UcSA5GzmBdi4LsMafFen9xlGD+6qT7/EAPoe3nirEIsBFED9x3qPFkSUQo242zTVgddiiQVwkjoVFksGtLhkq3jFaM2EaYjskrBTz0VDhetY1DaIPud7nrd//5+zuPMdf6Q954epzOBPTM9lejoYePchukBLeGN5zalbU9rAouIgdYFcOsnKqVEs1rRtK11wI3JWLrl7/r0Zm+BTzpJcsJbMz0bN9SJGbZgjSxHlRDwaKjw1QjnRmgSuuMZ+d13kNGSlJUYk2EyPtj35N4FNgOVXe7J5EP25CwH19obnOdClnijzNeDPuD7GUJPTtpADU6M3tRHb+CqqBAyqCaqMKJeHjMCfvzycxy/c5MvXK5oX/s+zQTcOPDaD29zNF8xrseIazm69wZ5eZPdasloXHH5+mXywWXc0SH3vv8iejxDZguq42P2Ks/ReMJy5Fl1ieyUCkcYT0CU5JTolJgjK8VaSZ06+n4DgvXiRnogtZ+FEsL2G5VAnYTqg+n2fagRHbSuR2jM0HbJgXjyaEzwnqbrSM7wwcqHtRERaFMkokjlSVlpvBDVcdxkJk1iK1ujVe8qQo2174qgyRp54qwFVf+ZJ++Xjx91O2E7yqaT5eEm7317TLpxI53rQHrMaIO4kWKkix1N29I2TSFUlnHqSHsDaNGgDOD+5g7qkAe8NXVWfzTCQInkSx+6GIlHRyzzmxwfR5yriNF4H07EvCiwMpbi7ZGz4TEDb0Mt1Dx9zANV4CebGOf6edSN8ytnfOLzfvJzsvG9un71xJT2f+WyFYxmcXRgoi514HNXJtyYeF4/eIv/+5//71z/tS/Buz/gjgN34TL/4v/6fzletPz857/EaHmT2y/cxq1uMqlGjJrMtSTU0x3u3bnN0c03oV3incdfnuKevEIVHCvUWgl3JlUilcN5wVcKTondylQDxBO835DtGParE+P0DebKzbjJLUvJssEf9+glTwzGEMiW5UU8Uo8Q75EYoV0BahvisLANm/FkA9VQaq+47RFpa49GKqroGI8CVRCjgsRCEUjWfdgBEsID3KPNx486rNscp79ryNo/5Bg+NI/pJFC9/tI+1NESXjjnjDMTI7GLNKuGxXLJamWGyeJhKaHeGcB6Calcn3oUQbLVsHlXRPCzuY4pQ1fudJ/jEOakpSe1jny/o0u3OYoenxSNFgs7J9YNxfmhvs760BkZyrm1y/SwXcf1XW3fc+gAnK+B/I3Pf7/XgLI4cZtKF+tjKjbMZZh2Hp9NK7vzSidKHIHvOn7qwpg3357zD//Bf0t65df5yvUL3JrNefbVH/MHf/IdngD+ytVd/LN/ykF3my2OeGPhGbltxltbiHaEqGxvb1FPdhlduUK4egN38Sl0skUbgagEjGWOJlwQQu1Qn2naJblVglT4KqzxkdzjiqfO+ayZ3cg9KJC8WEj1MY8qW6F0fyA5a2nOIPiqwjtPjImYjFAcxFpeaWnX1NML8KYM0KY5mhd4ydQ+E0LCq5YSrWheZ1BS8RT7GjmgSNKs3caP0yCdHj3W9ZOM4yMjWD7YK46SqvQ2wQ4M9I40TcNytWS5XNJ13YmDlLLjnf6sAVQbWlqsgfQ1rlJ4GwpNE3EaTZ5EO8QlcpOJuSEu77K8vyAdzNBFHMI2V1Lsjg2BrWzZIe8sFduT5h4K+NuBbRz46Rc5EbcNn6MfLpjruVMqlMJWBo3rQmTHAaMoiBpnJjk1AbgK2uk2f+VazfGdOa+99Q7/8H/6pwRg7KFJsAf8ha3AV5rbtH/8B9AeoiFx5xjS9BKXb9zg2o0nqLb2GG3VbF3YYuez/wr1538ePvV52LliKGMWEF+qdDs7uBorgowNGgVxBR3u2yadGZvqg8+LnPwbASSTPhaNrJPD91wiO7BhjdlFCXZ+KZo33m9mqiZF2Ru0Pg2pGdo7pNlbtAd36O7dxq2O8HEBsSVLJpJoSEgQagknIJOu64buzt77nwg8f5RDWJeL9f9/1nhkHhOcdBXXJ22P3nkzGinRNKtBd6lt28FbGbpmsAGalWxeTz3Am7uee94KDLhCOaDyu/X5CGKtjFLhUNFlZNUhi2O6o2PSjDVQWpJVlS9GNpsx1GGdmAG08GtdljIMZei4uvncerI2ns5rETMtx++8P+nZPsyonXrO2M42X8n11AGGm9OpYRAoNKFgTFnwnVIrjJcwu3fM58KI3/78FX58rHznqOUgK6O24cmLwhf2A1/cHbHT3UQXDR2JpQjt7hXclcvsfvFz7D91g9mdd1jceovlzTn3utvsTuZcurpNunqdbjyx1H7ZpzQqmhPOJwzay2R1CBXSrwNdKwxsDiPTnl7WxfvceFo4u/D7ox7JJYxY0q+Z9XCsi2pjqVX0BZ3s+9pBITN7489JOwJZ0B7NrDHrKlF3CScd2Xc0IdMYbZZ6A1vq7yPv/Akv6vENOeHEfCiP6XSdDEAueI/2gCNimYbcGyVjfiJ9vVu5cbqWZrGgmS/pVityiiWEchuEwFw4OX1R4prf5FLxqhxD6GZf75AgZbMRK2hFQAMQ8C5QZY/khASQWvBTj5CQUr9onViD9ZBTShlHslS8d4My4kYvg8357mdr49+zbdTaxsjaM6M3fOf929NfvY5X+nCuf63n0QAQDGwWwGcDwCUrFyeOSc5cGWU+d3HCr+7cYN5k3NFdrtWObekIIXN8rGRXkaNju95h64u/yOgrX+Uzv/yLbO1v0z3zde68+X0Ov/djlu33uXynYSLbRqi9cQOpJ2QCqkLXZmgjgYyrMhqUpB6T6zDjn0sx6gMlDnq2ztKZlI7HYpiMvY0Us5T7PsOCSly3KdOMekf2nljUVXNSUGu+EIJDY0deHNLND1kcHtAc3me0muNyg3MNOlKSV5L0JVTBoIuoaHaMqqlNg6aSKOq9zdN46Fk74fkMWb/OTnzMQxZrv9bfa5zbYzpBmuzT+RuxvJRtTekbUharLQLWCgLVRLda0SxXdO2KFK3pl4grRaiupIkLAdPbztinFV3pJCHiLENWQi2r8rR0M96Z9nZSUEfC46TChRoXoVKHRiWPaxi3SDLDRGLYyR2uEN4ymh2QTBtbdKiBOt2c9WE8pzOjkP6xP88Nb0/PeN95P68fZ8Hv/XsqMPJeeWP2gIOomSqA6CHjdEw9P2J32bGVMtO5wztPIyZilsKYejLl2pOfgS//KpOv/jqTL9yA0OJ+OCV4cPMj0q1DVn7E3b1tfDpiZ/kVdp64gd+/DDJFYoe2LZI76Arx0AdU8rpIumxopw32CWP7HiOf77565CNIsI1aTcHB3GMdvPKeoR40QeVw2UT1crauQZVkglorCrda0B7fIh/eQRf3kW5OoKP21ko8ByEFxasjlJBQY6ZrE6ij8sbT62nN65k8Db59uMl6IGI+a+M45ybxvkK5zXRjzmtexFkFe73bqGKynyKZro2sVg2L+Zxm1RQ2qoHXJ2CZU5yoAQSlv4mtGDVrLv22CqHQbUii9L9rye44QWqHOI9XR1xGVt6VUgAd1o4xVE0tETUWckYHwl/ur2s+ed6bl/v9zunm40c9nJ4R2pSQTwqdOpOoG7FaRg8z16KdKXp2nYedEf6JT1H/3M9z+Zd+jfGXfg65MILDdxD11FXNdFyzJHF06y2+9/SfMu4WXM0rfGrYqQTZFlyALihdq2jKBO+pREpIR7kmPVFwQ2NdT3mrfwaHkojZylL6NSvZUuSmCqmWRVMrtvYuk1SIvZy0sw2R1JK7Bc38kOb4LsQFo5Fjoo6xC7jgiC5ZraQEXAZtTXkgpUhfQ+ccpic2eEqPZzyAwT5kfCC6wMAt6r/sIV8kZZGJWBambVuWywXz+Zy2bYBcureu62s2v+f0Z/eFg1nKuen6ecsCFuxCrXA4ayL2GJECJePmgkNqj6uDqZK1CU1Y6YoaKXHoM1+MUkYe2F8+7Pi4jRJQ9JoeOBILews857LiU8J7RxzBXJUuWdunsL3D5KnPsvsLv8r0V36F+nNfQvavgSzRFmIJtce1Z3cszOKc5tab5FeFA2mYaENdKeNPKb7aIdWBTKBJSgg1LjgqtSzSuoypSAX351Cu/bmux2MI4wDralLaN/VhUxZrDSHOshPa18Y6Z0W7GGFSnOCCIClDbumaY5rZHdrZXbSbUbuIaIdKHArjRZTau6L3bhGEwa15sOR9Wc9jmpL3Nc6tLgBseEtWPLv5Wv96/9za0Dg0R2LX0TYr4y11LTlHhKIj5E8CmZs37CAoB6WnlgHkvWREX6LpxBVyGajoUACcUkI0oa6DEPA4RtnhPDDyaFtwsZSRaB04+lbgRSTFMlxZ14XqZTffOLRH4DH1n/LRDtUTWgjDc05MaoPBI83WGdl7JEVSgLB7kd0nv8ilr/w6l37tLzP90s8hF54CGZGXc2KbiVGJyYqJt0YeT6bRhu7Wm8zaI96OMwiZK5KYfOoLjMaXyKGi7UDrsSWscmuFqe8R4vb9837ScPnx+Afq3aAVZpw4sb6lYF56loJtCuIdLgRydjhnRsb5jGiCvCK1x+TmGNcekdMSROlyQ9cZBypLRipPGI/wMrLi7D7JVxQyXKmb7EGex+Y4yU/Gl+B9Mr9P/3+fpQJO4E99WtI5Bxppohml1WpJ2zTkHHv2QPFQGOp4+s/dNIJDNkGkZBlMOrL/rhNZwVTq6/oiDF1TCHKKZPE4oPKKG1cQR8S0gojJ0SYGDolSNKWBTbvxXtP6QbIevSf4qDMmZ3lieTNjB71vbc87cOKJSQd8xLWCI1BNJ4w+89Ps/PwvM/3KrzD63JeQq59C3YjUJnJ2pOhp20ybMkEU55WtSpg4ZdUcc3TziMVIubUzRirPtdGY0dXAuNojjyd03v1/7L3ZjyRXlub3O+deM3P3iIzcM7km96VIFslkkVXV1TPdGrWkB0kPepin0ZNaGgF6lQD9C/oLpAcBguZNLwMJ0GA0GgjqwQACRpre0dPLdFd3V9fC4pprhLub2b336OFcc/eMTBYzs0hmVLEPEYyMCF/Mza6de5bvfB+5ZO9ZqXrTQ+8dF03Yts89Bw8HDfu5bercSi2IiZc82WLgHL+h1Al8tM7KFUcPiIGNlPGQ3N9EhtvEskJicrqTigm07FQzjUVCcSaDoloxUx5tpjQiknYynTubLCfR7rsrN5nshISusip33VDbQnnBcmIcetbrFcujJUO/9hbxVAcSPNKxu2tWu5HT1LEqwobmU+54r50oqwhNDKCKqxUZSZUs5oT5poQEYe6UEXlIkDOMLmhJJQ2YZrGKgE27nWy/f5E2fZaHtXs5obvQtkDWY1BFw7X7zCPNEFw9ZmmZ9coIy5HZwVlOP/kS+2++y7lf+VXaK6+RTp1HcyQVowSIVRXFUPqUGdKIpsTChA5nNLAycnTjUz754z9kPYyk1cBj3zhiceU19s5cZmXCsFqCQtM0Pxtrc9/p7+eTkn0ZZpU/ygHDVeNvp0YrO8fv0XjCpKmwmExhQPojxsPr9IefUNa3iGkgRCE2gsXGyZeKoaYEIoEI2efQUkq1o2mkVJj4kajagyfbLT0kXGCXPuFeO9oWx1QLfGlkvXJO76FfU3J21g2NTpw+DliVDL8XLmrzupuv6pTUc2qZsEvTbmRGsFhnheqkuhoStiDJ0AQaE8ZhhCZgg90z7p/e00sGshl50Hsc389rP8/r3dMxqd4VLQjc2T2sjl5rTSSXQiqFtQnLoDRxzqnHnuPC699h75vvsv/iNwkXnmIcG8YhMUaFaDRBfARCA0mFbIVgRge0IogGFqGhX6/of/Ij8phoR5glZdbuoU3LvF34DmChIsNrbeQeMY/zf9/HeXmQk/gFmtcpK+0HeNRU5y4n4dbJZZbstEDZEkbBNION5GFJf3id8fY1Qr8i2iQnJhgBpPPyURa0RMhKMXE9RKtZTK3T3XkK79XH/4rM/P79PHvg4vfWOX2OE6nhaqnee12R3imNYHW6XXwB59r23x04lE3atnWM09+m2addWgfwnUdq9y6gNOLzcdmc3SAXI9tYkafe6ZEYsRgommoBxtUqpiL7xjE96Ik6ATaRz++aiNzVlcvFlW6jCillJAHFmB+cZf+J57n45ne48O7fpXn2JaS7QBmdhjiEehNRUClOThcjsevIs45RhSFDa37NSgi0Bvs5ozdv03//+3ycAp10nO5H4lNX2Dv9GDl0pJTIOTtK+Tg2Azbg188z+QwYx5dutgsrmZxoHTiHTaNGEJL4TJ83IYygQhCj5IQNS2xYOqFfjSDHZAz4BhJMaaxBS0RKYFqxqt5MMAo5DxtsodeY5B69/ZNlD4xj2v6sHEeS3lkk93mYNCbGYWC9WtGvV+RUc2S5M1WbsEsTp/DxmhXgO8X0nPoYDUpJebNIp79rMa9zAWYZwd+j1AtaSkA0ok3wgcqgVXXXpvqgv169jmbUdu8kt/PV1ITu/7l3O1DRu2MNydtIY/pbG7yQllcJy0ajcG7vNItnX+TU61c5++53Wbz6Bhw8jpWGshKaxkgxU7SglWM6SHbhgSa6YgrQFpipUCQw4vNxc1VsuSL1H3BzhNDuMahysQvE/bOEOEOCC3MWqwyWU8uwHrhMvEufd14ewZycv7FVemj/cQMbqBuw4iydjvpWcvF5TxOfaJCSsdST1kfYsILK5OoRkc+CpmyV8kmJJTiqk+JTL0GIMYJ4/W9Dq7uxR1NlMu5vnT9QV253ENAolRupch8Fl3hxnhWIURyD0a9IqyPS+pCxP0JKdga7On5gKBoaD82POb/jHTmovM41HaN2HSaME1rzaMOh/iUh4LSm1aEoAhIYKn5JWiEczBCD3GdynxlTogGaEIhAyrnuaFsKURXumNXdOLKHcC72RTg4hRLM7+HkF9Ys4CQigkrGtBCKEkxIJVFyIQgs2pYxF24uB5YIB49fZPHK6xy88Q5nX/0m3QuvYKcvkMOMcTSwjKohWogSfO4LIak6enk0ZCxVNMA41B5pIkkcTNug0CfC4RE2/pS++SNuhp55u6RrID72Is3BASo+85iKoIQqo61QCkkMCwGt0dRm4qDCCzYXZVooX7VVTEO2LUDUEaRKKhkrzv0Vgm44uid2BC0DtrqFHd2kHN5AlrcIkshS9eOKOOGe+MB7tFyVVuqHrnXElL3GZIRaV6rnSnbBF1+c3W9kej/8Tg/Mx7S58VTIVYUjqBIkYFIVG8xJ4cY8kvo1w/KQ1K+wNCAUVBo2qhDU7t0U++68365j2kRC9aPVaqLXIqZfyTaZThiJLUOY4TUiw0GfIzCIMUNp9+ZYNvJyRV6CJJ/abkX8ts4TOK56/JrmnaT0ToPUsQTQDJhiOSIWHQoQPNojNowJkqWtg5UA2jFE4Sg2nHnmZfa/82vsv3GV/SefQ/YvkENHTyE1jk0LlokZNDQgAYJgRIcKjJkmFaKARVg3CQk11QuBUCCOQlMStjzEPvghh2HJJ80hjcLBOHD2ynPQLqAoJq3XVFAwJwBEnepYqJvZVM8Vq6BZ2ajGPirHVGy7bjeTEJOSjOXNaFUuDi4LIp6ylRVlfZuyvAmrW4T+EGkL1viKC8UnQTcrUArOXAngQ9oAKU8O6Hhr8mSncfCANaY7xlLYdqasVCULcB4d21LnrlerLXXuznNOjAWnmyhBnQC+URgKJXvRXIVNhHfSDn3XLBmaYdZE4ryh9FAyrvTiLOUELax0YB0KIRqtRsYxc33dU2KgOXuBS5cf58lvvMnBMy8yu/gEcuoctHtQIpiT8G04tYuj5E3Dphhd+z4EkY16bqkNA3cUHv1EUUKMjH1mvVxy9MEHHGqhY8GYG/ZVaS5doekOCN2MLC0pG2PKdVLA6zBYhro5TnCSktMddcmTZrt0t7kIeSNnD5ZGcr8kL2+Sl7eQskZt4is7TqB3P3Yyz8Hn2UOxC6joZnIa8HZ8SsTgXDOWE3lcM657lsslq9Xa1UXD/bI7fnVWSiHhqajEiLYNMg4wuB6EUDtDOyWOk2YClN4IqrTdAmtnpJIp/QrNI2WKjtRIoZBap8ktEsgEbh4OlBlcvvICj1/9FmdeeQ29+BRx/xw0+xAWqAjBwWD1PX1gNO+0vicoRQgOzEwqjqcpHsVoxvX6xOgkoFEgGWPJ2OGK5U8+ZJ3+iDAU9pNx7lWjfeZVZBYpTUsOxqA9AZhjNF6wqB2oLaRkGEcAYoyY6iMhivssE/GocXJMqUARB0SqDdi4Iq9u0h9+Sjm6TrQRYsX2PeqD/wrtoSImwIdevQ/qHZeSMY2E6PpVqRTGsSrsrleut87Ji5iK1eHcoISugYVQElgZScmLkOBqF2r31wl6FOYS2oF+VJZijCEyiy0xj2QxcoQuQFsdbB4SIwV0Tjh3wOLSFS6//R6X33kPefIJ7Mzj6OIc0ECGlN0BBXwYW0r2DdymMR6gIvmlRtBqVDkpV/UoORHM08qA0rYBRbCS6fMIRyvko58yInySA3kMXOpOE9s9TAM5CD0ZJNEgtFO13wpprPAChBg8bnN80HEaiEdru5AYJzUUigYaMecuz2vy6ibDzY8py+vM8poYnCvcHipi+sW0h6bWVfHZHoyq/ElVsAXEO2VD37NarRiGAcRb0qVOwZ6IMNu8XpTNvIuxmEFO5KGQhkyplLtNrY0Uy3dwNMHJWPMGaBvQ0vDJkfG7P7rN41f2eLZrafKKHKC00BJYZCOmwhFwlAvh1IyDJ1/k3Ctvcu6Ntwgvv4Kdv4A0ByBzR8JbqKM/tZgqVdcNZ4LQUnO44mshJz93alU/MEa/CRFCdsUWCYY2DU0I5JzYGwohGXa4ZFz9gE+ORobc0J46z+lmhj75NGHekfOaLIkkcaNZWMyqoEWmbVq62QIRJVWur0ex1o7Pek5TDLDF/5VSSMXQoAQtaBoow21seYO8vEZeXgftCeo106+TPTC7wGRBncc71T715gJUEFm/XrM8WjIO42ZxeAj75UvI3LfVYvaYMoLQNg10gnWBHAUbvG4SK8Jdi1JkRyDhHp3ER8EKCNNUH6wK/MEHa5ZnA49dOM0iRWgzYwPDWmhWhvQFXbS0ewfMn36BC4jVelQAACAASURBVK+9zfnXrzJ7/iW4+BjDfB+xFkm+q0tKtbPnm4qJCy6W2sIXHDxoVQFYJ6qaYh7JmdWOWgDL2JgYSr3ZgpIlE4KwKIJkY7lMLD/+kMPv/ykf7p+hz5nT45L2ySfZ6xpyo2j2FFCrqKIXvAOm0eG3gnfBdhogX7UdXxeTY9qNmqZuolqGYUk5ukFefor1tyAt0RYkqtP4fI3s4eWbTDZOSEVRKioaGPqB1XLJcnnk+ukiG0DmvSh4H6UZhqlg6hpdNApNdDR4SJC91lSp4k+siTjFxnzREQ9afnCz8O45I8QIM1x+ai2MqdBnZWhOM3vqeS699S2euPpt5i++5k4pzuiJXjfKA2XMhCLMNBC0kv6p03cUMaT4cKqJdy6jiDOAIl4/SYaUQqjkcGTH3wxppJAdLiJCE4TOIqG+Djlz9MEPef93Rparm2BLLoS3OXjqaQinXZKryAZXpk1H2wiqDUUrURqwhcieDNvtbEulcVYMKQnGJWV5k3x0A4ZDL3pLHa06QffMV2EPT61rlSB+wl+ESKgjzet+zfJwyXq1rm3/sJnEf1Rcw59lG1CiCiLBcU1tgzQRwoi7pZNzvJ9lCmjKzBcLzp0b+bMPr9M/dcAsdqws0/cjzVIZSsd4sEe8coXTb13lzLfepXvpVXjsSUqcM2Z3HqU4DsxK3ohoCt6Wn9DUWSa8FBstN1UnJkviDqsU0GRY2NahzFwEYSSTJLuWH0pU0BJpWmVfIa0PufWTv+SWjDStEYJxMUbiUw3aLrC29RQx42tMIkggm0/Sm1Dn1B5d1LRrx2c/XZVHfWi3DJT+kLy66XNxNlR0hJBEKWp300L8EtvPx/m9qbN40dPMGMeR5eEhtw9vMww9OhUjxWlSjwvgPWrbuJxKp0ID0kRHHqunGSfdhMrpPRY0G49dOsPv/OA6/UqIi8K4HFgPA+1RQzw4xfz55zn/3ttc+N577L/yKnb6IqntSKNBUWIyV5mRQmygMUHFpYcQMJ1YFxzQqmbO6mAFFSUG59jqK4zG61AOt1BVNBpjKFgr5MaHvYdc0ASpKDE0dBEWY08aRpY//QEfSGaZCzl2XDRFH78C+wdVIBVEA0ik5FrHNKd6Do9kHuWzbZcxQ9W5vimJ3C8Zj24zLG9B7mmio8IRJZlh5YvnAzvJdg/HdO8LebwuVEyo6mAEEWIQyjiyOjpkdfs2w9ERuR8IjRKi1p1tAntNr7UDi/+SZ3eOj2HA1MQRshSKGDngTagG6ITcGBJ918+Wd8YLJrzO9rVNvpyEocj2qLU4vfAGpSE+zlww1gG6tqEtI1fmM87MhL+5fcRLzQK5Hdk3g4MD8nOvMH/7u5x56032X3wNvfQYRyg5e+u+zZkIaCykUGGNU/oRC8kyGSHX4xBC5WaX6oR89s7TNh/J0FEJbQAplOAIdWtAohDUa1Qpw1JBSMxjIjaBzpSFZcqQOXz/fZb6J9xu9jndF+ZZkKefRZs9oMW0JQvk0pOtRws02nhd7A7n9NlXabMEp4fbdJ7veuTnXrdcx64iDaEoWKbQUyRV6uCAojRSyHlJOrpOOrxGXt+EvKSJCQmOcrcEZpUe5fjhHzvWk11wuH97AMd0J+9RNq83TFP3WMHGnvXRLYbVEWPfk8bELEaiNCQrjgoOYdMN8xf+atIk2fF/u24xS6kT9Ymh8uHQGDJTtBVkABmMXFVNFEdLq9XxlsIdE9xf9Kcp6snIRHwg9TPY9AkEigSGEJG2gXHFmWHkyQP4i+sr3jx/wKVhjzOnOoYXn6B757tcfO832H/hGTh9jnXpGMhQCg3FOcHxsSKtSEoDigagMObs9SUMkeAjFEErQtsxQ2POEy2WwwMsEIkUKQwhk0KB4JtZEzyZLk2mACllrKzJyct9i0WEoZCWA/aTH3NtMPZuHZFRuiLMLz5Lc2qOibAmkxiAAcVozSgEMj/DMdWFoUW2Elif/WhscxU+77qB4TxJag46LiSyjKClgtRdLboMtxiPPiUdXSP3t5G8xqIrB9FXTnpR8r0G/05+leGh7KGI4jacMmHLX2zjwHq9ZrVc0VekdykOwtxS30pFU58sr14bSKSSvYAb1IGWXYcMnoY4R+/2ObsR0mcJEXwhxzZ1/3bec5K/3lr2qEVGxAqtKOfPzPnTv15zHTg4f5ZzVx5j7+rLnHvnTc69/Dzx0nkIAUpBcgVBGnUcXjAtGwlnB06Kz0ZmF39QE0QNCfgohPp8i4lHTJnakVNBY9Wxm9SLi3v2iG40xoq5YyoijJNSiMLerGOGspczq2HFtZ/8DRTjYG+fs0V54rWIxg7RPRpJuBKI1Q7glma2XqnPPM/3inh/nihYMUycj2yitxVRRBtHy1OR8GlJXt9gPLpBWh2RhzXRXHDD55Rr1/trlcj9XJzf5hLQ4uqhwzg6RGC1ZBgHL4I2gWIFS9suxEnDr3oRMlRcTh0AjYHYtciiUFKh5BHL4z33yV2H9OV8Mrsj470jKpOdb6lHS0QVghnn9iI9hZ8OxstvvcrBGy9z8N03mD/7Enp6DnjROEigKbWGIc6tLbWwPXW8MK2MitWBVWU0Cg6yVEGiYo0zNBTxCXebQsvgVMie5hXGlLDRiKnyXpfsnb3JMUZqNxTW/UCjkQtnFvQlcO2oZ7j5EZ/8mz+g70cOLHAQFB5/gma/BRJ9zl5rEvXXkmN1zTsu2vbfX6SiivMwlUpt4l1KhwgEn00s2emlx0PK6jppdYPS3yZadkiY4VFS3RmC3M/o6y+PPTTnN0gt4AljSqQ8VnXdJeM4IuIjAaUksF1SOTtRXblSDIJ/vpx9CCWGQGgbdG6kIVGGQukTInciv49HSV+WY5oipHs1vgW/9zugw29IHQvnFwu6eMj7Q8fZt97i3DtvsvfWq9j+JcbSOI0Ggo2ZYPgNg2uTZXwqvhSrEU1GTF2Npn73+6Zyo4d6JFOpScXr5NGVPhz75TeZc29RI2mPJLSmyFGEHJSsCjjy3gYjdoVZELomUEbhdn+T5U/+guv9ig+ahtAKMzsiPHEZ6Rra0GIaKTlglo+dtZ0IaucC3uvaHXcEXq66v6vslCeGltGHaqv6rmqDqbNUWhmw8TZldY2yuo6NR0QSYF6P1UAhOlxAjPA1ass9EIMlsNG9omrAxRAQNXJOldd7TRpHYlQvGg8DZgVtW5+hskLOJ6PT5cPIlTHRSgUGVNpSBOkMGh+FmMJ6/y4b6PduivVg7+3ffQbv3uhkkQ1z+eYmKdgGL7adE4OZQizG0eC0tqfPPc7jlwc+Wvd0z7/E7MVv0C/OkULDiBEKdMVvnmBOn1Hq7pzFmxtOH2SuniuhEp95auHH4DStuXbdLGefmq/poHNsVfClOrwkRCeBVai6gM6VpVSoQQwU8TEVkYwG7+b26yUSAq0U9kKmjIcM137CJ3/xB+ROOFdus28vMXvyadrTF0Ea1r0LYQTZSo6pTvLYW+iKTdCXSjsCQK6/25xrNmntBJP5WeYDzQWT5CNAVijWoTqjSK6bXI8Mt2B9DVY3CWlNI4ahDClhIYAEtKbcXye8wANzfm8AYlL8pkYpObFcHrFarxmGnlJ8NAC8TlEmKe+KdH1UNtW5Np+jFDQIiLhqao0ETbzo7OlJwBqn9ShjLZTW+ufUMJsimQcjBrR6HHd3PDfHZ7aBMcjmfZxzySl+HYUeUMyEVIRBlBI6Llx8ml99+nX+u3/0j1mfOktz+QojiVQdkOAaZp00yMSEx+RsDK3abmJCkOACjrUYXrw/vxGlnDBPPtVflUMtV0VZKE3CVCFIpfaohebKi11K3gQvQZWonkvWp1AKrPqEhuSReIC5gdiK2+//NbfzwNJWXJYVF1shzOcwmxOjsycYY02hDJgUfjzam9ZDqRxOySoeq+K2NiNYxoajnh1k22dtKlUEzNeK+rnIxMoUqohlcjqkDDfJ/U1suI3mnqiGRWf+NCsEVXemZg+++/0C2wOnchsxy6A0jYeZ6/WKGzeuc7Q89HTIXGxvGj/Rykr5qFM4me5udgr4SOUOd0dTDMaSkVJoVdBZS5wlpEvkoSeNvuSaOk+565Qe9FiOiy+ktCXwmta6lEp+pxONiN/IKWfaEJk1DSUXbq4GMpF49gKPPfUyF66+xzNXXiD+k3/Bv/7+D3jp1/891CIMPSFOzk42qinTTThJb5sJUrTWjr1tvQnPEEwCWQTNxR1ZrQ8FhFA8ZZNaYvJByuzwBoNSJt50r8MgvoEhbOiRPULx32UBmZxBvYSxga4Y/eoWqx8nDrtIowm1xPlcaB+HePAY0oqrvpAJMfgcX/HUFby+GEIDagx5JI0jKkIbG+fvOjYKIpsd6fOubyXOVXfWourD4WMmNkIkk8ZbDMtPGVc3SeOSmAayFqIIrQbG6vxls9K+PvZQnN8iQoiKhOCT4X3P4eEhy6MjSg3NU8qIug5clFijpfJIndNEi3E8DN84WzwaSKU4aiBEmlmLzTLaJoiJNKYq53S3BM5dzbIHtGk4WGT6ksrj7DeRUDtgIgzDQOiErl2wXvd8vO4Zuobnn3me577zdzj1xjuUZ1/g6m/8Ov/LP/2n/IN/+F+hq5FGBQvV2YmQp87b9FUFMaf4SSqwb3vK3JETJkfp9Cde4hUvN1mu83FTrQUK2Ynqqncxar1JXO23YBQtULz4OxXZRZTQTAPDeTPMqgUagX0EOVpif/Mjbo1rGAZKEs6Okb3nF4RT+xjCMKSdGp3sRDoVBjP5XibGibuvz4a3+w75zXuv52JTbUjrvKBglUudXCAP2PoW66NrDKvbWOrBkjM1WPT6FIaac1h9vdzSA0RMpToV5/qu4e84koae9XpN3/eM40AMfhFKTkjBJZ/rPIrXpr68D/NAViMmnVKSyi5IVYDNZi453ijaDIQmYjGSQtqkcMdXy4Yb/L7efmdmqjr7pvHzNNEF51xvbhWs1PMooFGYLZwTe3m0ohRjdv488yee5sIbb3HwysvoE08SrjzDG7/+Pf6H//5/5IcffMjzB5dQPNpCFKsMEZ6Q2wabtaExuUOBxip2ST0tm9K4nB0pVE/K5Iikvl6oNzOWp9POJCIqaAWJQgn+e7Xiz6l/Fw0uYAqMOH7KBPZipC2BNgkzLaTDI/ofJ5ahYaBlZTOeaE7RPvUkZdbSNMFrgyIODp4aMvjaTuYt/NDGDZ6pTOdhxzaMmceu5XEr5un1ruyYqkARLI+Q1uT1IeP6kJRGghVPc1WcW6p29aaOJSfp3vkK7C5whNq0sLZfk3knxnNtM6Pv1yyPDulXK6T4LqmbG9P/UWobPot9oe3YhzJfF17cVSjBFSoSBbNMMKMxV3tvVDGFQQtDB6UT6ALaCaHit3RHbrvK0U1v87lfZrLJjkrxwmzbdsxmM0II5AwpQx8yY8gEK7TZCCMEnREPDhibGR/fWtHnwOmX3+Dx7/0ap775FvniE3D6PEjD3/vev8vRtUP+8F/9NrRKyIl2HInDSBhHQh6JlbzNRSKKc0LvOF5jahTUqMbzM6hc1WbCRIBuErCapE0UxJOCsZb6lxpaVhFwJjC7elzEQGaQwiiFQRI9mcEyqRSffNm54UModG1gFoR2PTL+5EOO/u1fcOuPfo/bf/KvWf/wz9HVLRopBFGSNPTSkEOHaYuKn5M4FGa5YSEzOm2Q7MX8qfZmGjFtvLNYuRymSpNfU/9Pa+cyWiGWghUYciClBpGOxpQwDLA+RNa3iP0hrfW0WlwnLgZMlJypNbqCMSAuXTNdjfpVdr628eAvg90VMU2+Y4suhgrvrgvKeYpLKgz9msPbt+mPlmh2zmJX1HXiNdR3ncImNwC+mtMXyp3dMo9mbKuyqx4pFHWnFIv5vJmrERHUByf7kqCFOA9Ir2gOqGUHJVrtvqhU/OWUAH2+qQRf3hsamG2TAOr0gUAvBdOROZEmBzBhlQqrdSaFlnL6AntPPsXs7ffYv/otFpeeQk9dgoMLkBvefOF1nj59iT/5vT/gP/mP/kPfQHLCLBEkoEQ0enqXrfhNJ4WmeDRh0/VTKJsb0aOf7a7mw9uTQ3Lmgck5WZ2iN7TU9El3Oa2sduj8lVZijPW6KdkL5SqIeSRXsnfzimRPlWYRi2BrQ/sM1295sVwT13XNkA65qIXm8Svo4jzSzEnmSaaP22TEhM4CJUekOJ94ENmMb3vEH8gaKyOCO26vk+nGKYlVF2V4CgYMWUkWMVo6bWlKQvsl5fAa+fA6ur5FTGsIHh0SYgX7js7YgICW2qC4R5i+sen3wqOThvni7P66ckyh/bYIXkphvXbHtFovSTlTrNTqwbZTcbxrcRLYBTZcOPjkeSnFQ+0CwXTql2Gb3VKRGJAmok1ERiOTfUykOhBEHmi6RnTbTZvOzzAMdcBTaJqI5oxlI0Qhd8q6FEoy0pgZhwwH59h78Snmb7zOuTffZv/5V2gPzkNzCoszMoF2T/m7v/H3+Oe/9X/z3/y3/zWdVgdaB0RFdNOR2kAieHR7b5AtTEGk4jeZIqTqzYo7yRwKMQYwp1bRnIjJSLdvcfijkeW44iAZTbvPXFrksY7Z6X1yEAbDu5gmNNJ4upwzyUY0GLGNCN7m9+VaYS5SMK27bGUxmOKlXZsY4m0jnyEEDLWePNwiHX7KcHiD1K+IORNjJAavS9nXLG27l903XOCuYqAZKY30w8A4jN6NKzWE2JSGt88/Tqh2EmxSTcFcc07KnV2y6eYMqs440LXImCljpqy9xT0pBSkT6f6D3NLuhCbNr5wzObv0VYxOBTILBir0Wugr3W+go5sd0Dx+hb23rxLfepP5C6/RXnjShQO0IxdlKMKYjH/nP/j3+Z/+0f/MB9c+5ZnHz2JJKXVcw6a2uH/yL+Cs/nwWa6GuUFNlwQUV1LtcYSo9F2OUjGWPJEwyQY15hKCFvD6k/2jgsOn4NO7RZeF0FkI7Z753FqUlZVglYyyuGGyWyFMtbOqYMm2khliiSNlpwVpd6XU7FodB+Edw3Lc3CJxkT2UAW2LrawyHn1LWt2ESgJ02y530dzMovpNSf13s/rpytehNFVDcCFGKOmiyFkFtAtTJ3U5pspPgnGTT9jIkU7uFsq2VyEQdO6Ue4nQoXUTGSF4ryU+Ho6Zr0djt/paPORhp48Cn6Ey1CiSkTNe0zEMk2ej4sLGQBoj7M04//Ryn3/k2p77zPZpvfIN4+iIWFuTsEkfrZAzJC/WvvvoKFy9e5Lf+xW/xm7/5D5B1wopUzJ7VtNGLwp5+VQj3IzApRgMegUqtsxTQ4DfvBDgdBdYUpCQUaAKEBloNzNoGKwOa15Sf/pif3lqzvnGLKylzvpkRnlZme+cYQmQpMBgYmajuAEWFXHbJbIVpE5mCtl2zWvj3RMvPWxJ3TP7Q5A2CPMBwnbz+hHR0DRmOiLjy7qa5UD+f7dQsqZ3av3VMx612YHaXqqgSm4a2aYmxoZdNWXfTfjeZdjdXSDkJadxxc4VUnMsbXxA+q1R/npxxDFgXsSFSmkCKoMmjLq1pnMo9ugmfYYZ597JGS5MDjyFsiuEQGE0pI7Ay13HrZswff4pzb7/FwdV3WLz4OvHSM0gJmJMEUHLBUiHUlvMTFy7z2ssv83/9s/+D3/zP/lNHFE+fr6as4thSphrJozIBFzQQxWoq6xAKq9ATxTD6YPTBC+jBvDQ4D8F16xplXiJWRoblEUfXjriZC58cnCLOF5yOkfBUoG32SWKMU9RaL2IBb+nvdJTdaoJWa613t4dqBL4paHiM1wShKSOMtyj9x+TVR5T+OjqunVKmOrxi3o0rU4axVVH82tl9wwXs2M8qQtM0LPYWDKsj1oeHWNE7CNcLZYOwDpV4LaV07zf5CmyqK1ltA0+sjD6fajvdpzt7HqhS2uDMjl0kt4HsdIu1KSCuClKVUe+H8VIqOGjLH+6yRyFEGnHnlIuxHAZkKLBWFnunWDz7HIu3r3LuV75H99Lr6LnLkDryOG6Q69Soo+97tI3s7e/xG7/2d/i93/sdbl2/xv7Bfv1ksnm8TUHkZhO6+zOIeJudnSj457lpdoPnzYgOMMnP50nkAr9pdQfkZVoo0RHb2xph8YJ5dkhFGyOhT9iYGT75kA9//7cZc8ZS4uwwoE88w2J+ijFGhiGRrGxmATFzldzpesp2eB3bqSltAJB1sKa2HL2p4VlFFxskrX0ubv0paX0NS7dd3LLW1Ka6rUghm+P/1BcJgXrev0b2ACMp29TGhfoKbdtycOoUw/KIw6Yhjf129qi2l39WH+Ek2MTPJPi4BOZNjSl68pzffF6uUfJmTEWh9Y55SaWCC2XTubrfNxfBa1s1WjFsM/C8XK05XCekRLrZaQ6efJ4zb36LxXvfpnv1TfTyMyD7sCqUfqCQawfMnci8UyTCsL7FP/wv/3PQ/4L5/ow0DmBVy9Uq2HI6D/Xe10cU2WYPX4mqWKi6LDV9EqHyjnukGmpdJkfn0UrJ6HOmyYZJQNrIfC40WbjVrzj8m7/mBtBJIBbjdAR94gpt05HFSGhNy1z23Co6HEku472JmLZOCQDTmrZtswbHZOUqZwXkRBluM64/Yew/IY9HNGbE6FzzySCXXLFlVCaO3ZjsJN9FX7zdPx9TLfNZHTWYoqBmPmexWNC2LWlsNnWmXXjASbYp+kO23brjS2HK960WM2TWEGYtWjK2Tk4dW53KQ/GDV2RwKZmcCiV4CN/3A+RIODhD9/SzzK6+y6nv/R2al1/Gzj9OkoY8DAQTiiaM7BxZFXFsAkNa03QzNDQ0ITIOw2aANpjv8mLbPX+3FP4ozGXYPWYtGLkGIaaQp9KXGaEYXTZn06yR6oQYH3PxFDB7bbTbazgdA+VWT/7Rj/gkGalfQ4BTNsDFi8xOXWTUyDg6+0HQUPF6ZYP4nha11PBSDHdIm/xuW2/CSsW6uTIMw4pheYPV8hrjcAuKz+8F9XJ+mhqO5q1eUWE3TLqbg+uX2x46YgoxEqsI5Gw2Y29vj5IHnKgrb1Kmk+rnHScD27pA7UtN82M7B17w4U4VQ6MSmgaZdeg4YH3Cyobxg9qEuW+b6vB+53nHZxxHhw2Icmp+wP6TzzF/523m33kX++Y34cKTFO3IY6Yf+yoqWRDLEDzNEZ2U4BLCyFpG+pzokA090dSGx2QTKXn2ILUr9QiunoqDcUvy/lusEZP6MY0YYq6k0hVIEZK6Q9UMoeLQUvY5tzwTwqxjL2SkTxyt16x+/EM+sExazLjcCWea12j29inaoFFQIoFQB853wRPF5wZ3rPrJbb2ueg+17IDV4tMEab1ktbxFvz6k5J4ohaANQQK5GJULxlPEKVoSH/d5lDW/R2X3cEz3qi2w6RhsnhjUuwmlENuWxf6Cdb9kGFbkMi147m5hfEX2s1Dmm5jIhGBO6VHU6ywp1DMwpTab2TFz8v2gjgDfayjjSF5BqIy8oUKYC+zUHtgwKuyyD2Rno3UeolKHX4kUEY7yyBqjO3uG2ZXXOfPN9zj9zjuEl7+BnL5MT4dlHLsTHBHstLaeTkzAbBWh045hzMy0IVt2AUuk4q+sFv9tEwlLzec+62aYwITb7fvhr+9mJnjHpi5nwcnmdjmenGK4sltm6gihbSAb4MRzjQjRnDEzpcLtfqBD6OYNAugwcPjx+1z/N79Pz0DqDzmXAvHy88TFPgQhl0wxCEUqjKRQfTimW74lV8ez2s0F8FEhi/UQ8wj9EpafYsuPKP2nQE9sFCySUbL4yFGlK/PpieoPbdIy3Gyex9pzd12GX46w6mc7Jrnz99tcf4cPCCM0kdmpfWb9EavVIXnMlJLvKJLuCv59FXavqOV40RtzLqJQHdKoNZWou1Qs0NRp91SFFU3AOiXSUPpAOjJsXaPuqTC148SnBbb5d31IrvUTLV4r0Ww0JbDKhQFl2J8xf+5pwrfeZf72r7L3wqtw5jGKzcm943Yw5+lWS4wyo0h0ShIq9W1Nb+amlKEQi7omnLoHUhWMvOOYtlgzv+fvPon+mN2o4f5uhN0Zs2kdTXvWbuNLsxERskqVeAJRqRLtjuhXg3Hz/Ok1XVBCoqAoIRsxZ8axcDslUtNwZj5j3irhaMDWPYc//AHXV0sWpTCPZ9jPLeHy46T5giwtZurXp8JlikESXwcxOzUMZgSpPOgS6vCtkERIUmgZob8Ohx/A8kNK/ylRerRZYGPDkIun0yr1nCtSGV+LTcMmYUoU7z6xv6TR1P0DLNkuXsDVWLPvsjFG5vM5i8UeN+M18tpR4FHDRuBySgG98/BovfqW8sRrBMePZpPOT47YtnUPFdAQiK2Qm+ipB57qTcryYmzSAIMNCnMHl0es+WKjSqsBcmE5jixR8sEBp569wuNvvsO5197k1DPPwtnz0HaU2tT07pGixUvuIah3hSYiP3zanzpwuxkmnXpIx7BmJ8fkzv9vqFK2YhCIczIRoIg6x3hFaBvitcCghCagRZBcnGE1CTMVQtfSJLBVz/rDj/nkz/6c0p3h3Fi4MK5oHn+CZv8MpjNKhoQSY0cqPiUXpdaNikCgSkexoWe27FxZGgwhQVqThiNK6n1eMAYCLtyQxhHRQoxxc00mMsY7hrxVf1mCofuyh9aVKyZYTmAe4rZNR9O0hNggGtCC35AnuM+5dbj1MCe4bR17mIKdLdCtksqrIDFuc8JQd7c6hym1IFpqPnjX6wgwwEwCbRdRgYHCzSEz7M1YPPksZ9+4yrm3vsPpV19Hzl32GapSyBI2Hk7MZbfFXA1kAh96d9vYyXF8Ywi1hiQ88s3hnjYtlYqA3vA8Tan0jnMKNeoTdqNVKhNBHQQJSiuBJIVkI6thTQrKXpiz2FtgQ6HJQnr/Iz7Ov4vlkVkYOdNkmk5gpowaSFlIWShh5vp6Vg/CAHMnUgJQU2lEfSiahOQ1aX2DYX2TnNaAz9dNkAKvJfoHV9U7HNLdJ+cEXrMvye4bxzSlQNPPBvc0nQAAIABJREFUIQSGnCjFaIISu0A3m7PY26fkRL9ek5Jja3YJ5k6CRPgu5chUnp8KmB472yZa2h6qPzKXKds352padJSxR9Yw9gWSDzNTWRjQykNV6xNFPEWa6YyA0K8G+pzIAbpL5zj99Aucf+dX2H/zHdoXXoXzj2HtjHEwkuVKUh+J4vUxxzZEL2hPKdFufav+rLWoLbJN2XbPw4mw+nHqYvN6UE2tJ8dT6v3pKHDfGap2QXX8zqc1pbHOW+4bUF8dXKQw08ip2DBDuXl7xXL4IUdt4QNbMgy3uchIe/lZ4vwC2s5ZZmW0QESJJDT6rWOpeLEewdRcL04DQkbHgbS6wfL2R/RH1yD3TiecbRuSK3dkE3D3prHbKf662AM5pl0HsyHBEp+KDkHp5nP29vfJaWRMidIPTl+rW4d2UtDfU3F+p0xBrWF7Abb+ush0v7uXMrNK1g+xa5gd7JOzkkuP9RkM51GKOG2vscGm+FtV7iXtUALXVz0fHxWaMw3Pv/Qql6/+CgdXv0t4/jXGsxdYqkIqnnLGmr6ZT6/7RqvbcKxSQjhHNx551GMvsnVScNLStzvNeyZ3KrjtilFObreY1WaWVUGF+nwzEg5MRJ1RU9SxQqUYkteIZfZ0zqxp0DEgy1us//r7fLS6zno8oukC51HCEwvCYo+YjT7XyKhe161cVamOSZ0K18ezsX7FuLzB+vaHDMtPiQxEBIrWy2VOs6vb4958SI6NcvFLW066pz00g2UpE51FrCwLQtO0LBZ7rJdLYmz8ZthRVDkpO/TmgstuROTmg+PbOse0IJznHCYEcKqc57FRpIuUOGCtt6i9Bq7e7TPvqKjuFn+FVT9iagzdDJnP2X/2GfZefpMzr75NeOpFuPAk1s4Zxh5Krh1CF6T0NnTZHnutP8i0cex8nm1kOP38M87HHY+/P/qWn8c2XcBjx7aLvvdrUI9lcjxU6t4aAVlNTbVGVrJT7xFqQTwGgji+aRycRncmDV1siCEzk8JwtGL90Qfc/n7DR4s5YYRzqUEuG7PFBUrTMFpiTCOWMq34BuC88V6MVCdtQIdCHpbY6iZ5uIGlm2gYvQxgWiEm29Gt3XPv5+brFSEdt/ukPXHbLc5JBb1ocNY9FEKMtLM53XxBPDqqZPBpE6ZOXyfppO82nu7VIt8tWG/+IaWWoUrtckEOhtSxFUmGiZBq2mTFScqCKLlkckoMIxxaopw/w+WXX+Li69/k4MVvwuPPwN45ijYMGUrRTTQQq0hAqPQyWZyBUiRgbCXM7/oMX+D5+rJtt2+7q5p8/DGbJST+mE19DWByWmZobAhNoI1OzzvagOEMpX0eXIxzBrPYYWmElFj99Md8mDJ2ONKMysHrAXm6ZW/WcJgy62FFTAlEiTEQW6UoOHDD023NI2W9pAy3iSwRetSS866XeBce6m/tTrtvdoHNblWjnoI7JB/OhSn0nFgYm9gQQkMOPVbsxERLx+24ssk9JMcqw6Ld4aRMCtTaWpoZFlaOvo5O4ZpLgewOSag4BAwbC3kspGCw2Gdx5QqXr77L+W+8Rbx0hXL6MWgWeF/BJ+eDCEGKT6IzsUaaY5ckgNpGQpztIf7C2uepzWwIAKfA17YA1y00o1L2WvFZx8rk4KUIxzv1JJKtoQm0TUM7BhZ5JC8Hxh+/z+0U+VjnaJizaFu0gWa+oHTqdcTkqH+RBg26EVfIOVPWS4bbNxkOr6NlCTpuuAbu7Dz+Il+pL88ewDFNKZxHPakYEiMWfMty+L/Qti1dN6ftOh9T6UOdlvaXOgnF74c3TzDM++7EtmEmHWmElQpDyjQS0aDeWs6ZRp2Kg1JIqZDHxDhAONtx+YVnuPDO21x8+13a51+D+XlKmKPNHDOlKYlknio0ojTmYojFnEXRJFI0eAEV7hKcvePId5zqyYlX77QpfYOtczrubKfPUWppbVJ1maxmVJu0MJVCSgO5VFXb4mtQo1PkrnGmyK4EWiJtVPaGTL9MpA9+ygf2h9w25awIB5pon36ebnGGJgZk3ZNLIpWBUgLaNKi5SGperzi6eYO0vMWi9ARJXoS31psQlZHzF/VO+LLtLse0uzB2bUMfytQlmQD4taNg5sC2JtDNZswWe3TrnmG9ZKxa7J9VtfjFKuxNpXBFYofoDOmMNOtYH/U0YwYtZMkoRpMTewUYjdWQSQJ53tFeeYZzV9/l4pvv0D3zPFx4DJo9zFoSLWksPkQqggQolio9hrNclppSqtTZqvtw9g822mA737c7/VT9eVDntts0vOuC2/bX97sWZOc500sItUlZtn8oAmNyZ+6K4YFGlKDO3hAL5KGgpXfu8y7CzHFKebVm+MlPMZ2DNDSWWWhD93SArsFmMI6wtkKwyMyUJmXi6jbD4UfI4YfY8hZJjEjnUfaUdIpfw6/juMn92F2O6V6jHIanE0Btw8qGFxlq/SjnipEJaGyYLfaYrXv65W1yStWBUXfsneKyTU7wHiyZX4EdXxifLdvDBgk9iRmWElkj5NAg+wtsGBhurrHRaFrYa5RTgzJfG6kvrIvQXDjL3gvPEL71Pfbf/VWaZ57DDi5AO6cncHvI/Mmf/BF/8W//ivVyzflzF3nzm6/x3DOXWKUVFKMNSkkjmBCZhkmPHfPnfM7PNZuQ/tvB5I2LsrLTIJhcwue8HBVftNN4kO0fgS14chf6dvywt9fi+OuzZZ0MbI5PQ/AOZiqELDRBacQxX8HAkotRhpKITYK2JcwCM+0YDxMsV+iP3mfVZ5Z9z0FsiDISHrsAe/sMbcNqCHSlYdGD9CvC4TXawx/TrT+gDEeYKlnnTpNjhmihmG5qY39rd9v9swsc7xhMrfPsIw0lZ+8yFI+Omqah6zrarmNYryi57hAVeHlS04nPsq0D3dqYHf0rAu18xqmDU7DKWO9F1bbpYISVFdYqrPcWLJ59kcvvXGX2znfZe+FV9NxjDLSo7vPpjSX/6//+z/iX//L/4Qff/z7Das2li0/w8isv8ff//n/Md997i6Hv/QYURS34LBc4xudRnJgTZJvJhAnpXv/dasSJwn1cJASHXFgREkaqgi+h1qpUBYkBWk/L1uubrD8cSTNheX6P013ikr2MXnoSZmeJsocSyVYIeSSNS0o6hLJkEp0SqpDnjiO3LUrzUZ2yE2sP5ZhUdTOYOiFVJ234nDOqynw+ZxwG1vM569UR/bonp4yIEOvwxm7N4FFESw9stt3tHb+SwLyuNJu1NGaU5ZqhH0lD4WgYOTwylAV2+izhyhUOvvUtzn/3u8jz3yCdOk8O+6ytYxyEf/LP/xX/+H/7P/mj3/ttbn38U2wc+PP5af7yr/+KPq+YHcx47dXnSTZANlpTyFROJb722++99N604CT/wUiWwFyMdcN+EVwSnWLkWCPE5ORyxaBbRFQimZ7ljZ9y849/my5dYxwPufAadE/sM9tfoLRoWjEycpgPkfE2OR8Bq0pDwwZndscxcnJrfo/SHtgxbWlzt7+fyPQnKEBQYTabMQ4Ds1lHiBGT3jsYJpXa1Z//i3NRjh+pV1lTduxKaBpCCYRFA7PAekgcDZliHTI7YP7Uc5y++h7733oPeeUN9MJjZIusx4YSW37wo+v8v//fH/LHf/inXP/xj2nnioXMuFryox/8kN/+3d/n6neucuWFZ5jFiEimKYIU9dwn/mJV6r4M20VQe8oJMQhN9MHjbCMpZzJ5CzYNUoGrhgSnVim5+CaqwqztiBJI48Dh6gZHP7zJ7f5TFgKtzrkUztM1l326eBgYhiOG8SaabiHlCCkDKu2GXuZv7f7s/ql1J8dUfxdC2Ba9zSpITMg5E4K3T5umoWlaYtNssCO/yJv6nbd+bRkFnNvcEqYFbQTmkbLMDBJpTp9l8eSLnL/6bS5991dpX32F/txlRNQFHA26CB+9/xE3P/6YG+//iKaNpNVNmgAW5qTVik8//pjv/9UPSNmgbRAtPocxyf9+VedAfjHAf1ag5EpNEhwy4EySRq5wAwmgGipZe2WOrAlWmQjqJKEBFgKaCnld6D/8iNWf/Smfcoq5naEr+8ipsyBL5Og6dnSD0t8iWI9qwbXBJ6n3O47yc6ERX1e7b8cEW0SuUz1MFxJQ9XnR4pS79UmEGGm6jvlizu3DWzBM6iNsPdwvyEWZGATvOFwRNHrxOVvCpKCdUloldw2ptOw/8STn3/wmj3/7PQ7efJPl2bMsNRBTTyhGlEgjsBcLNtwiSMLymjYAJZHyAKFzGfCmYxYaokWaAE2p6gO7Gj9f1OedxlrYiRWFTf2G3d/ZTn3nEddMtvOctWBfCiklNATMqvR6XbgaKp2KqhfMzSiDF8oFr0/1OaEUmqiOFTNYHRbS3/yIT9cNMw6Y5Ya9J55CT0dk/SHc+pi8uuWUNOoRrUxjLLvopZ/Be/V1t4dmFzB8o57oPSZqBoc8+cmPMTCbu2NaLPZ8OjzljaCo8PlgupNiW8LZWlsTT2HFCqKBJgSQQo8xBKU5c8CpJx7j8ivf5PFvvcP81Zfg4nlUWmwcnc+nGEEzpR959solnrlyiTPnD/jo/Zto15BMoCqaPP3U0zzz2BN0RZnXIpeqYNGw4ujzr7vdIRUm4BAv/7lULJ4GQYttUj2qFmIphpVUu3cQQiQrJLKzaBShNeNMEOajce3GmsP+r/iwmZOGNZdfepHzz16icIOw/JRYhsr3oEDwMZQNLzhb0JlNIIm/tV17eNqTDT3DBkFS60/bk6yqzGYz5os9FosjhmGgL079sKkj12zk5F8a2X7U6pxSHrGSCW2LNg2EyNISKSj7B+c4/8RzPPbGqyxefhbOn/Iax5jostDmgBSDRhnymosXz/Ctb1/lT//yz/njP5rx/g9+BKUlzmc89+orvP3m6/zae99mXyLNOEWvhRwKRe+mfP262lRyUBEkCkEjVndCjc4TqqVQrLgzSq7EnLVgyWgHH4KOsaFQSFac+rYqz+w1M7qucLTqub1ac/ODvyDFBO0h7fwZZD4i5RYNRiOxihQEsCpuMBF8+dHyi7DyH4U9fMQ0jUXs7FLTovAiuEdO3WzG3mLB0d6C5WpFGkdK/uVobIsqVpJLRkshlxGLAV38/+292Y9l2XLe94u11p7OkENldXVXT7y3KdKXl7ySeWWaogiZFiVCsGFIEGVDDwZswLD/BD/4TzFgGJANPRiw9eAXEQRhigBpmrRMUiQv5+FOPQ9V1ZWZ55y911rhh1h7n51DdVdPVd19M4Duk7nrnJ377CFWxBdffFET1itYLTjzkNKWeP4ATUrjFiz9EidViboE75XslH/wj/4B9/vI4vaLvPraPba7gZOjim987RX+yT/8BX70Ky8TotGXRSC7xCCJ6DJVGW/+g2yXCzTe2zTjOJhwoS9ibCKyl7eh6COJIBXUKlTJWVqXhew8CaWPSsT64aDhcC24BvoDT7MaqN1Dhu3bhADO93gHTivQMvWYgFMpksG2F71I5LuxmX0ExzRiDuMcrCKYNZaqx7wMMeCRcoM0HW2Xadtz6mbDbteT05ZRtl3cyCSHKf/W0ts+w6FUi9yK7AdEPjlTkB2IaXUnB0IieJ10ls7Vs1HBdRlfe3LjORs29O98G9w5nDzD+uRF2oMX8KvnQDq8c9aE62q2MRHajl/8Z7/I17/xTV797mu8/+AhX3n+mK+98hI/dPcO8fzcHJmABCs8TOdcRnTnIm4hs4cV9sMsx/fn6ftpkVPB9qctmYBKj8oADIgWrs/YD4Ki2aHqEVduJU22P61RbRC24NKePXmhT8yOdxSGUy3Sxpfw/Mvudta6eWlfZqa5bqSkQSO9JshKE7GUOxmO5FDEe0LwuKoGso0gj6ZIGsU03gUhOuUcSDJQLwKL28esbq/xx2v88SF+XVP5fhQ8QdQDYYIt9noJ5d7+AsAXT9OutqRc4733uNEMBE8m0upkegNTzU1AteBNUcA3NO2a1bpnGHp2253l85NDi6gGnBun0GYT3Cpyi1lthLeIv5BKPTHnpKCSyC4TvZCc4jXjUqZ2AaXiPAZ2LlBVkRCERCbuHrJ76y9Jm+/AvSXx3ecJxz+KO36Fqjsg+QraNXl5ixBW4AJe4Ge+8QrLv/mK/eGU0KGn35whTkFMvH68twMer9bdnmUmx5oVtDgbN/H1cUWJzcTNtExLTiYFK4akeXH0ySSDEawCiDNqwsQTiaADTisyzXghUb9FZUCpQZcoAyKxLEDm0EyPvDysyqRBnj2MiqJauEX2ZQphcnSqanSAETUYtzs3Dik1PSbywCZDFKVyEDRTJ4fPkPPMmSdzGFltLp0KJKck76DyhLYhr4AqwKrFHy4Jt45YHB9QH67wi5byB8zZaSCpY1Bm4m+Wtkn5zoKbFuCbgOmqPVbElHOZ6T5XPRydke71vN2kKr8/0/1uIGui6zrQI85OHwLjCOw0rR6+7B9GsqbNrbMS636bc1xcLp+EiUPzClSocqLCHng7Og85sFSlZoO4RJBAGLakXWR3mjm9F+kbj29e58H6Xe4fvUl7dExYrVnfeZ7VnYHVOqJuQZaAS8HiyZTIgy0CTq1vzuOm1gtl5OxZ7DNGP5pzCYJGJ2KCfg7KyGtBJO/76/Tid0UyvnoNkQG0JusS1TVRGwahTMDdonpOmzNNGuxzPoLvUdejEktsEIoTe8xTnS3Km9YcZS93LPtII5cg2wmos0hunDqjeZRKVgL2sVAqakLR7K6tuXwgEeNA7I18OWQlOsiNIJXHrxrq1ZKwalmsVywPl3Srjnq1oF60+EVD9EJUnfTfsyqkTJ7m9dnicHkWxxev/+HJ2RXH9GEclUmFMs/GRF96ndu4YlR1Tc4dwQcDFpPpNGnGRmuXNHG0cYbd9PvkmJ7OxUxiGEGdwWeLVbKvURFEB5p0Sp1Pic64Kj5v0CgEInWIpB0MbDi9F5H3zvCHh9RHBwxnb6Jnb7A4uo1rDvDNEb49gnoJocO5MAkQaQFL3dizp2PUqHZexM6byfcWbXJhTJpLI21JKSZ8xVZv26Htw7CVkj5rQ5VaUBP+ywJRE0l6outJKiTJBGeTW5JLZN+TnbViuOxxSdDw4RUOi+hAUomcKGlZttxNxQYNqJpQ4b4eIWSxNpNcvqkvY88rsX5Cp5lQSslqaoAkMqk4I5ISvODbgNQeWbX4wwXhaEV9tCasF7QHS7rlgrZrcHVF8sLgTVJFC5dP0yiRm3Gl8XS/GMwc7o19oD2WYxqd0TxqGrlic6d0ge9UrkAIAVCcKN6Z8kDXdqCJuDNsY1TEdDP9in309cHH9mRMyX5rM+aSheqD8wyhY/AOxylV3BGGcwbtcFqheaDyEFwmhEzjHbuUyMN9hns955sF8n7N5q0/5953VizWx6yO7rA4epHl7ZdpD57Hr06Q+hhChd3YBtLmmKcWIBvxo8Yh9KZ/4r03Xo7l1Khm0pSu2EAgFSnhBoQSmWrO5GRp86DHQKBWb1GM9LhcRkZpoh4g0QBKJFhKlytiFhKKSkTGbnr1jG71w0yyTdm1R7v4MgGdcxNFjNgKU8X/QjhSiLx2v4SZM7D0tU+RpJbumcifILXDrxa0B2vCuqU6WBOOV4TDJf5ggbYVoa2pmxofvAnDpciQzbmhZYDo9C2vLqpfBGLq58UeK5UbHdL8v+siputMiliQSMZ5T9cuadsFKQ1oSqAmG5tnF897j8OXlUenY4B9hDDaBe7KZ2YGfidRkl+SqwN2fs15s6avHaoNfsj4jSckj+8zVQWVZOpgiLI6cE7p05Y89OTNQ9JOSER2wbPrVmwPbrM6eZ3tw/doj96jObxLdXQX3x0QygQaXGXTdgtQnHIR3LdQBycO592knVVCDXLBUMipnE9B1BeNaju3ieLospBcjUqFR/GuR9iA9JAzEluCHhBiRS89VAb0okuydqUKpQU0t+bufMktPUo4ULByvRP7TCyO1wQNRtli9hGkzh2UxYamflGKJSOeVoiV6iC7wv4OHldXNG1NXlS4owPaW8d0hyua1ZJqvcAvO3xTocEjdYCCyWVV4jg2KlkEKpiAnIzcpLGwwxPEQ78k9pHoAvObyV1Ks+avly2njK883gXquqJbdMRhS+z7cTKy4Sk5432wKCsLMcXirBzeO1LKpJwmKsJlusJnaR5B/YJv/XnPb/67b3MvB84rx84LVZv4obs1/94P3eXltbBqH9K7iGeL+Ix4b1pVWWg6h1Zq0qs543SgSuC3W86377M5fQBvv4Vb/jXt8V3q2y+wun2H41u3WS6PqJZHuKrFuQqPJ2VBVdCYiUNvTdIaSGNz9fjwFta+c6P+uCPIfmqNqlo5W6zhVfyZtWloTa/WGe+K/lPKA2nYWY9ZilRqrOg8tHhZAbWB15LJRETSxeGZM6pJ+dWOM1u84YLHh2AdbTHSZ+ttu0wknSJ5hMJvLRHWOP5JGGJiSJkhmYqAdwpB8G1Ns16yPDxgcbiGkzUcLlislrRdRwjBzo2NaUFSxu0iSTIDiZQTY+KgJVoK2ETlgJCEKcWz73jjmD6KPf7AS704qfU6wOC6k+/cKL1rAGxd1yy6Jf12w+b8jKwmSZouf1CuRmLmjK7905+xCTIEXH2bv37zXX7lL77HBuO0CJZy/Fvg1q13+Cf/0Yv8/Def53z3Nl56xNlElVyoAYjiQ6YpsiWimawDOe3o45bddsv23Xto9Srt+jbte89y/t4zpGeeY7j1HAe3niMsjvGLQ6ReEKjAVwxDmdeqkAp+h5i0bEwWedq1cIhzeOdLlGXM8RGHct7bsAPZWuRExUBNdAEXdojex1Xn+M54OvW2xfXHEO4AidRHKHP1RFI5SyOC/YgLN1V1DR+LpdyrME13KVX3qShruKRMsrrMsPFR3D+hDKKkUIBsB9IEwqqjXi9ZHR+yunXM+vgQbq9Jy5oQAkGM/Jp6I9DmJEhMKIanqWRUc2GTgy9OPsgonWJ67PvRYDdO6aPaNXSBqydx7vWnVO4x/8C+Wmevdd2yWCw4P2vw3pPiYDn6lQ/ayzx9LHXWJ24OpZHMw165Fz2nGHb2X/5nf5eXbsOr33+dX/3t7/HX72351d/4Lj/2ygkvHazY7s7QnEm9jZDWrAQrO1FJbRNcgRyVIUfwpq4oOpB5H9lsyW++zfbhknffOuJ0dcJ7h8/SHD7L8vhZusNnqLoD6u6Qqj2Btpvm2GWsb1FTAbxlRhtwzsDyokOUoz3M4t2EY/m8QDSg2to5cBt8foM6/wVN/waSN7ADwgnoS5B+hFApVRiQkctUEqsZWnTBpqKglMVPrLqlmhjKmOyY075LQEqlUSjTRjyaksmYlOk0SKEMlFdqT7PqWByuaQ/WtEdrqoMlftniuxppa6SpyW1VgH1TFrDUzCgxUkZl2eI5JosGZpfw3aqSBbZI2VLHH3C+6yeyx3JMF+ZblQsx6jE96n3z/dnqbRczhGDSu21HXTcMu56UBq58dIqYLmJZT2Xx0YTT+3TdbWID58BJ5/jhFyPfeLbnbz23Jp4e8tavb3n73Z5XXz/jxaNj+l4h92gUGLk3Xql8xlc2jy8iEBz4ZOkS0IiCDuS8Jby/hYfCQyrer9bU62epDu+yuv0S65MXaA9vc3D0LOF2hSyM7YyOmBYEJwjeqpwlLlLFdLMSkGwirGaLmBQDmqcB6rLB8ZDA9wlnf4i7/3vc/+3f5t7vv8etdkn9c1+h/sm/g3cBcoOXM6CfgcDOgB3jL1ykDejolMqvWiKm0ioyPvdlyjlgbkFEzEsUXfUcjRQpHlwQw9i84T1h1bK6fcTRndscPvsM3ckRbr1Am8DglE2KRE2oZmQAyJOK6+RvJqcqpV5g50xK1GbO0KgCI6shl+LE4+CwN3bVHhtjulB9G7exvxDj71NlDvvHXKKsnJKtQBIIvqFq7L+w3ZSesxKeIzMmOIUeMJZZ8xUH9tlfcFsZfd6Q0puotzSljz3t7jUWDx4QmiO+cqehwypED+73pOSo3NJE3FwuFW9XFDY8KZoqkDHJheQ94sRmyOWE00ylSlP6q6Tv2e3uM/QR3Ww43b7P5t3v47oD1kd3aJ59neboOZarFXW7ol4ucYs1oWoAR1axyDQa5hdzYYg7G75Y5gzbgqMgfmMVK6B2b1P3f46++S2+/T/977z5r1/l8G24r/DOb/w+z/9359z9uRbCMVE2kB1ejQHtEJw6ZHz4Z60gF/OzssmZmkuKht/UvgzwVErNq6SrM4FCdSCN4OtA1Ta0i452taRddrDukMMl3cEKd7AkLirUK1kSA8rg7FxU4gnpIualUyXanJGMN7zOp+7ZvTlKpoxfygK7G2f0ce2xeUxzfGmaXjG7SGOlbop01Eqzwl6ClwwhOFQ8ztfUTYevz9F+iyYleMNARqVL+2+Muq6OT34yq5Ci6kiyxDnF0xPVk1yi0kAVj0jhNu+cv0EPtAFWywFNjpxac8x+AJ8KpiMkdeRk0znUOdR7XPDEbCmEy4Ikm+eKdDgVmjoRNDHELXr2Jn28T3Se7Gs2qwOqt/6SxfFz7G7dYX30HHLnBZr0HHTHEJZABQR74lO2CpyIDU2ovAUzMRqAnBUnO5Kr6MUT/A6G73H/1/4N7/yrV3npzQVHsWHQ+8T/O/Kg/i2e/eG7uLt/AwkOrytIgUyyKmEhTLqRmFvuH2GssDGb4jKyz6FSqBC8OjxC0uJQS2dSEkW9oJUndA31akG3WrI8OOD4+JjVyS2Gw4bzGnCOXsoswLQjJnM84g1XC5jkrt3WlgYHrDgwSqAIo6qElm4EnToVLNqz8M4W7xun9EnsIxMs97avrFyujM0xqaSDEfaKNjhSWUnYe0JV4cMIyLKPlnhSNIDHM8Vx7k4YtIX8PlCxU8/b7kXeXt/mL157j1/5/T9gC7x07Pmh5w+RYYPXRPCupHCFeCmuKAEY1iRO8FpA6CGV9ggK1uNK34VFHeQMPhA1M/Rb1HnJYzscAAAgAElEQVTURx6+t8Vtzjg7fY2H7x2zOLzL8p0XWd16kXr1HPXyGZrlMVV3CFUNzYLGF2A8Gx4k2WgNHsVpBmqEDpGBOm1guMf3vvVdmg0cZqXqhdbXDOz4i7+6x8N3Tzk8STTZuE+DOjI2Mim6bK0vso+upzQOe80FGxeF2jmcM7KlF9MzipptFNM4ErwJ1HVA2hq/bKkOljRHa9rDNd3hGr9akhYdNDW1t4pe0lzuw1QAdGvgdWq6THNnIuwVNC6kYxMYb9vs8pRY6XNyv34Z7Ipj8td4+pEfwsxp5Gy8/30v0L49ZSrlowxpsOpKyljfr62GIibWX1c1IXjGJt3LN8PnwVQcKXWIr1kgNCT63vG//J+/w0moeev9c954f8vt2vOz//5dnllWVMOWSnu64Eilv02kwKbqbeiiZIsyhwS9ElIuKQSo92TPxOJm5PJkm1PnFFQ8Emq2sWe3eYvN7k229zoevPV9Qvdt2tXzdIcvcHDyMicnL3N48ix69AyyWlO5QBbFeSx3KiiJLw8adKAtQiQQQXu6NnMWQVxf+hgzWgE1VBkIR+j5W1TZERE7b15JLqHeuEOCfYcxjVPdR01GPxJC3vfGiQhRM33ONuk2QFV7msMl9YH9Vx2sCDOWdnuwInrYDBFST8h+at0RJwT1uBLZi3ME53Eidk5nNIaU9rXiyTk5Zyk3F/HY6wjBN/bx7QPB77HDX4uG8vzfNMZp+OX8s/MLZCtyRFFSytMYD+dN3dJA8AVNc86Qd9Mq9HlzTKLQasL15yzijgWRc4WH93ac7eBgKfzcN57h537sK/zIVwKtPqTWSCXRQBrJqFNL4TKmBxQsPXUZfMwmXqbGeE7eSIVJLdJIgGNs9jJnpllJ2CBNyUpIZ+S8I8k5utvSn56S3n+f/v47DPffIr33Krt3noHbL1PfusNqtSI0DXXbga9sn2M0ICbTYXPtPBJaqG9x9xsv8yfPvsPbryeO3JYhJ151cOebz9Ldvg1+jXMPSjUrsxdFS8XvyB4GKDaSCHJxUE5tIdRyX/ngJ0WHLOCaivpgRXVySHuyZnXrCL9eoF2NthWsW+LCM4jSe6h6Kfyo4glzNk5ZKecLJhznxrYS1Sv39eXuhsuAtpZU9XN0y37h7Woqx75wYlKks1VER6kNRVO0VofxAhrazVydIOt+amzOiqizKop4vPO0TUffLdmcn6F9LO0QV/WdnrYJSqPnGDiSyChNgP/mn/0k37h7izi8z2IBB9oQ8z2C7qhyohYlDZFeEtEJWQWX3DQHThDq0mkfsIpjksJ7Kk4q54wn41VL2TrPgBlr8kVgFRrAk5JhMUM+R7cJjQ/ZnL9Juv8XnL5xAAfP0xw9x+GtZ1jdeobV8TO0R88goSNLIElAneBJqESiA++O8M1XWP3df8zd/0J49Zf/lO+8fkrXQvP1O7z4T/8+8sqPocMBObREiYVLZCL/PguS1KIUnVV0dVqrCtPbHJBBAGqDPgPkEnHm2hOWC6rjNdXdQ9pnT+huHeG7xgaJiqKS2G3OSZpLdBpsXyUac95bBKoUoF9LNW2fDczhCe/3vTBjhDVGTOO2cYTZ5+V+/TLY9VW5coIvjmbKE4g9SspanxtT2javpsG4+ppzC0W0C4QYI6HyhFBZKlc1+LAhDltL9by1o6SUrqxSj9dx9ema4SNKHyrO6o6HBNqQuH0Md9u3oN6w0QixJbgBlwd8KY3L2B87VRbHtomCH2WmlgoDgS1KFezBUU0UVTMc2brocwb1U+uFIrhc46kMN8mKI5JytIGL0TFETzwP+IevMrx7i/zWCenOCwzHd2lPnsetTqA7hGaNaxa01Q4XakKoSRzhuq8ht9e88F+9yK2f/kPuvfZntEc9x1/9CeTFvwEHL7F7eEjvX7XuFJ8Ac8S+wGXeF330UiRJe/9k6T4QnZI9xpavAlTBSv+Vw9UBt2iQwyXueI0cr3FHK8R7GAYkZWRQfEo0uTg7Xwib46IKF6K2LAb2x2jibeN95py7kp7Z/W3Uijlkcd3YqBv7ZHZ1Eu81zujqtmypBXzwSqHWce29aStpFmsmLRfTieBDRV1VbJ2f9jOuVJdz/MuaUE/KFGETlpwGzwPdWaISIDGQdYvqjiiQvVDlWAiG5eZ1gncNSaxUHlQICSNcFjBYPcTClxmF3lQzpQm+pFZ5auuwxmiHqkPE289p7I3TkjpFgiR7Cp1dszRk4u6c+PAd0oMlm3vfxy1vUa2fpTl5ntVzL7M4eY5mdWQM6XZBCMckX5PkeVivcc0dumfv0rmfgPwe6G1S+wKDPMM2BxKBLANZ+vJdKrwKUiLAUTVAimMaZAS/jToRa4HaUzc1oe2o2pocTKYkVo7kHXrYol1D8p4h2+Qq1RKdJQg54JMNV+0rJfmL98pIEJ5Y5TJWmfeOaYyULrbOKMnQ9yvp3XSv3DilT8WuOKY0xFIOLSnbJcdk0VFGXcE6dFrvuYgeWKQhoohTnDjj8oii4gzI9UIVarpuSX9+zm6zmbSfYA+oz0H1sbcLnuRNIPTiaJqKlW5oGWg2UOeeJCZan0lUpOnBm8aIOwFv0Y1KEbp3BoKn4nhM9H6s9Bh+5LJV6nBuj88ULo3gEefImIY1OKKmQtMo2I44a0HxFnXlHA2XSrtCTNwRhw1ydp/N/bdoHr6Bnr+OPrhDWh8iyyMW6xP84TNod4TWBwyyJrQLNK+J8YCqVXxqGLRlk45hl3G9w+cdsCPjyBLIYkqYUTM5G+ymQG4gB0eqPbmyjn2tHTQBaVukbdCmNhG84IjBoZVHVw2+bQgSIBoWN5b2DJsrfYGCFVVK6jhVAEeAX/fb3BjPX3OfwXzBzgVPuhgxXdc+ddlunNbj21XHNMuX5xWyEeAzK6XVEhOP269cChmBTQVNmGCZTI4nJVv9l4slud+y3ZxN6VvONtF3PJ4xegrOX/hDT+RiK5B71sMpP/cCLH/2JXQl3G0immqyq6nyQ1bDjt6bTnTOYlpF2UrhSaz/I2eFbNGiiqUZyWHd7kXeNpQyuRO14dJqyoijwiQqFn1ikYaRDBMFaS9VPD/NUlMNqFZ4p+SQ9tdLe9yQIZ0Th3vce/Bt3v9eS7Ncsli+xPrWC3R3nqO69QL18Vdxizv0fU3dvEhbvYLGBHFDkEwrB8iw4XynuNTjtUepiBKIvoJg2uQxGYamFbiugq7BdRW+qdHKkce+thDI3pGcGBGSiLpAt1rili11qGg14FJxGs7hvCdpYkfCORsG4IpO03gZVSiNJuPPWDUw7QmUI8Y1v78m51Pwv8uL51zWZJIGurGPbVdTuTSLmEbcyPQb9gzvyRHJhdfLJuNspmyENMGkXcUV8FEzgiOEhrrpCHWL7AYDgbNaT5dS8v8xWnsKIKNApYl89pAffqbmqy+dcKY9OZ4iyTSvvSpBE4nKBM1kVDMUkyEWK5MrlCqbTg/IrNrABZ3V0mPIJEUrew1pVZPSzUImgRsVjIrMjBbFRNWCiViUFSqd0kWnIJj0TBo2bM92RMm03ZLz9pSH999hcf/7LE7eYHH7Hu3hS9TLZ0jLE9Qf4lxrQz59og0O8ZEqZAYJbFzD4Htc3pAl2Qy34JDKiLepdoSDFlm0aFdBUyFVIISS34ox1WO2SSWDZipxdE1L27Y0oSaIL9+NKb0az3tCIJTiQh6j2JK6zaBQxxhB7S8BWCXaFtbLkZAtGB/mhD6stevGPtiu0gXyAFDkTUuRNe+BwenkjnMtP4ThqmmfhkyPZS64iYqVhoHsPM1ixbYf2G62gEVWjv30D+cccYhFmfFJXmQFB707oAd0uG8kURxookoRwbP13lKIvF+RZXIC9gkE4yeVPQsm++rLb+O3UmEcZG3p3vw8X/gx2Wdz2f+F62ERrUwYS8LPZBzGtCajqHP4poWinLQd7nH+3invv/863Tuv0b7213Tr52iPnmdx/CLd0XM061vQrqkXC4KeQ3gHVj1niwPer9fk6k0CD8jOyv5VEwi1x1WO2Jl+tnY10RvojU8EsarluHAlTPM9+EAbGhoqFtJQhwaKcoWXogtfUjZfHJspWzLpIo3FmfF+HKHtoFeLK4Y9Xd+sPr/nP0oqd2OPb4/kMX1aQcn1jusqgF3XDV3XsdtuGQbTYE4p4bB0b0ot2S93T/riXz/gfGTrfDJR+U/nm3zMvRTyZ9NUiBN2/cBuc2ptG9mzefAAV79NtXiD5uB1Fsevc3DyIgcnz1Id3WV9cERYeNjdt7HYweGamtR6Bp8ZvEPairCoqLoW13piG8hdTawMH7PFbxw5b4eV8z5y985RV1YoqYKNoHfWLgCMmJ5+pBv3xnV8fu2x1AU+C7v8d4IPdN2C3XbL+dkZfc7TAxO8HeZut7OUcIZT3djHs7kT9c4RUyIOAyEEvEIjUHvjBcEOHTKcJfphRzy7z+7+62zevk19+DxnByfcPmgJ6YyH772Gyg6/8KTDBcSBFDy5DuiiIi9apA64xqO1t2gjlhRW9yTFqdCSFR8CdV3Tdh1t204ibhf6JjG5l6l8P8OEbuyLZ9fSBeBqGfTTtovVNvDe0bYNbduW/jkZOZvAXt43p3zBKd0AjR/NLkd1RiZXS4dyJg0RJ8Kq9qZomZWYBmLqSf2W3J8ST98mPWjJ9w6p12+xWxyRDxqCRh7ee52kG1h4ar/E54yEgKsdUln1LTohVQ71SsyJqNZFUHlvxQ2YiiCK4r2jbuzeqOu6NNvuv8hIYcmXHNONfXHtsWRPPgsHNeeHiJjSZfDBgM26YRcCqcjtfpbHcWP2YDvvcD6YDLIIXjOhtMQEp0Ss+TVpImeHDuf4sw1Dv2W435HumT54vzsnpnOkzkjdErzDB4+6TI8yaKbXhFoZ0igM2SqWUnSbZCb5a5y2QFPXxSmVRUvzNHbuhnX95bMrjmkeIo9R09w5fBo2j8rsd8V7A0hDCLRdx257zmazIeVEzn76zMjInfNIbuyT2ShZI2qR06ih5DSTRfHemn1TVpzGgpon65eMAyo15+cFf9dMJiNB8FXANwEJjpQzaRjYxcyQEylZldKLlIZaG4apReVgvL7eOUKo6LqOqq7LtXekmNGcjLzr3J4CcaF/rZA5n9qZvbGPa9fKnjwd1T0lJ7vR2ral7zq2221h28Yym4sr2MKNfTSbZGr14iuqk2Lk2C6iOJuVJtbg67y3oQyKKV86CGlnwy0VyBDL58RbuT67zCAZzZEh9eyGvmhUOYIPxtdKCqLG4OYi/ljVFXVdGfY1m5RzeT260T/6ctlTcUyXVzWwiluMRlxbLhbEfsvZ2RlDvyPljMOckp+1rtxESx/fRooZlNcMI1fMGlNhQEyx04IZa4otcrLeBRxCpRGTX3P4ZNNSYspYk6Ci2Zqzc4rEGMkpgYiJ9ztfRjWZY/IY0TSpqQs452iahqZpqGobFDCmcVrYkhMc4ATJNxH0l8WuBb/njYyfhV1OwYzZbU27zokNxeyMSLfdnJNiLAMxKT10udycny95lC+u7R296DgxJaDiyJJQp6hXBldkQtSkc1ElkPASjV0uwSawlDK+xoEhZVATwJMMlTet8yp4vIwkT3NENoNQ0WSqFd576lDTts2EL6H7QZ8yT99uHNKXyq4Fv8cH/slND5VJeM5VnqoKVJXdjCEEch477MeWFlvRb+zTsdKOPRFqQfGBMjizIgdvKpT0KOZk4pAQHFmV4BMOJZLBtagGE4MbElrE70yQUyx9K85LdN/OkQuJNRelSxVMVaD2+KoyuZHSxjMOW52ie5n1ErLXRvqAgVE39jm3D5XW/axC4yva3dFoyC47vATqyqpzdVOTNJJStEGMYq0XUujBtlhed4w3PKfrTC6dqlEcjtJsPPKes2wRqYAFKQYi0eRM2JGGRO3WSGrJfkWuIk42oJHoOnJukV1C+k1hYWcSGR+E2lc2LHUUxsvKEBM4IQXTR8lqv/u2JrQ1oamKDu7IdVKrIrrKgO/yXZwIRY3Hfp/c7E009UWzjzSJ99O0eXPklJK5kgKolYzbtmOxWJA1sd0aTyXhMDG6gmEo3KyLn9ycd0VOxc5/TAMxDuS4tYGcktHQg4eqWqPuECfH3Otb/vqvXuP8/QEfPE0Ht08Cd44OCeEBKb+LZ4NQ4f3SIh8VNCebFJPzxKjPSfFVEXMTMVJls6AK9QWlCZALv2shvE0LlFzEMW/si2dPxTFdvlnG9EygdOBbCtk2LYvFkr4fjDqQMjYM7YbT9GnbPDUy/K5GNVkvnmYCmRgzdbfm4VCT5ZB/+3uv8mu/+wbffusBD6PSAEvgzq3A137kiJ/5D17mzq0VTT6nm0IzS9u1yNeOOtyIde2nmBDnqKqKphnT+QpXih7WEGBKkqhckOS5/D1u7ItrT80xXan8FQa4QU3WjhLqmrpZUDVbwKM5EXPEuSImX0L7iyzf0kt3c19+JLOqaCy/KXlSI8hUOeM0k3zFee/xzW3+9a/9Jb/8m9/lvQivfGXFT738Mm1W3v7+G/zVd+7x7d96h9ceRH7xP/06dxeK9qcsXSYjRXDC1COCt8nAg2Y0WX9k5RxN09K1C+q6oarqUincFzxEjLs01+eeaynBTbT0RbanmsrNw20RULFucAFwDu9r6rajbjrqtjOZkDgUx7Mn5MkFOKkQcfhopNCPWuH7spE75w+4CkRX4cThXaZiQJKiuaZtjvh/fv87/Jv/93u8E+EX/sMj/uF//Aqr9W3a6IgPX+RXfvWP+aXf/T6//af3eeGle/zjv/Mcqt8zQbecTWlBBPEe7xzqxEYoabYhl3VD1y5p246qqmcEyr3QzqNgo5tI6cthTz1imvqbvI2xdt6V8N5E3+umYblaowjbzYa029DvNvR9v3+Y8hh9jcxwmea4Xcd5uvzzvG/P9nNR01mLMNj4uZHkOd/3B3Gr3AVi4MX3fRze2HXve1x2/qOc6YXvDMRScUt5IKUenz2+qnm4hT/607d4d6scHrb8/Z98ka9Wp2xOd9RR6LTh5//2D/Nbf/Ymb50N/O6ffIdf+OYxi1AhOhS9cgOmNWfTpvKBECp8FairhuVyxXp9SNetiljg7FyVc5lnlbl5+8qjzsWHpXfXwQs39vTsqUVMV23UEJ8Bl1lx4unaBd6Z0mXcbjh9+IDT04cMQ7T5bLpXENSifOGcZwRERxVMKCRNv28UnTuI+etlmzuV8W99lJv3WrD/kn3Sh+HT4HWpaolGBSWT1Ur5Kp6ca063yhvvRM6Bl5874cXjW6z716hUqdOGOj7gmQW88pVDvvWtd3j13Q2np29y50jQWATrBKRQP3zw1F1LVddI8FShZrlYsl6vCSEUpzQ2xY3f7abi+mW3z41jSqOukeybC8ZKna8qKucIqUK9I3ih6zr6vmcYBoZhIKVkOk4xGhax2+21ei5FJ/MV9mI6eX3/3aP6Ba9zAo+jZvhBzu/j2qPmoH0sK5pINjxAiOKBQNTA6VY432UCUAVjb8feZHC9TyzYsvNbumVDBja9MuwisVc0CZUPhKqidoEQAlVd06w62rbDVYE61NSz9G0Ud9uDhjI7zMdbVG7si2efG8ekIytO1e49HWd6SSHnJbKLOIGmrlBVhmFgt9txfn5O3/dst1t2u521PugwsYHnUcoYQY3NwJeB00fd3I+LKT3KWV3mbV1OBeevH8fmKef8b3ycfQBF4bGAzOJRrUnSssvCNtki0raZne/RKjIEweeeZdwiLrFDgBolQ3+Ayz0SEnVV07UtXVXT1A1V29B0LXXTIMETXCjs7jw5JZlAxBE/vEm9vuz21B3TFLHMlCkpW1KMJeR3CEJwAV9jM+3AcAkf8CEw9AN13bDb7RjiQD9srCRdJFdTGW2UsjWGecA7f2Es+ciLmsD4mazG/MZ/VCPxh6WBl53FZWf3uA/XJwPdH/XZPU4HEIpqm6lEBuOOZSUEayvJQD8ktlmpJRPyFlLkLDvOpKLvd3iUA5c5XNzi8DjjQ09b1XSNaXZXVUXwxuz2lQ3aFCOy7fG9Ce7eO6Ub+/LbU3FM167qpcVkL1dRBOHKWGznnEEfOhLwrJoTRJAqULeJ0NSE3Y5hGKhjY42jpQdvTPf63Y6YTNheBQPKMSc06j/Nj8ucEIBcOO75sY7b5hHYdcD43B43DbzOHrW/R0VLF0H3MnvummPZf06Qwq4XH0ASpIyXDYumZtWAnsKDh7A577jrK1x/huTAaXXCPbnF/Xf+mAMiP/7CghdeOuTgGJqQaOuGNlQEGXvqrEKnKtgYPClDGsrI8lkBTrDeOmdjjB+Lz/1J5I5v7OnZU42YLmME489j9DRPs8xh2Ey2Ie5Jlj546yr3NvKnbpoyxXegjz1DP9D3fYmkijzH0JOz0ucez9i4ClMvnjcqgrswCtp9qLO5HP3M08fLWNanTTW4rOp5+Xjm3+PRxy0Ti9rJ6GBzGb+VkTxwuFjxQ8+3/Mm7Pa+9+hZ/8uaak68taPqATw2yeIU/+IN3+cvXbXzCN7/5U9x+/uus6ndp/RlVCAQcTpUck80mdEyDBBzOoiQx53SdPfpfbuzLYk+V+T1/QC8/uMCF6EPGG1Uhp0TKiRCszBx8NRE0LRXLKLEA4z27nTmm7XZL8I7t1hfgvCfGaKxzkUkd8YNUFS47pUdhHdc5pcv7+Li4yOOmkY8bqV1HSNRCgjRuto3W1Diw7Bx/++sv8jt//ke8ts380q9/n1y9wtdeeoVOOv7d77zO//HLv8NZ9nztR1/k7/2jnyfccrj0kCDRoqSkpRWlNOXqfiKML8nbTafRD7Y9VR7Th71e5yAMIbIhtSkrXm309EgCN+9kc1W9C0gleF9RVzVVqGmalqbZsdtuTYguF5BcDedS3c+4n29zl6I6YIZNXUyHHhUpzV+vc8qPax/2/su0houfuWbU0JXPF8cExJwtrUPwDnbn9/jGjzzPP/9PEv/q//oz/uy7G/7Hf/EtWv6IBqUHzoEB8G3Dd978Lndu3eag8eSh7Mn4AoVMW5yfFFUAtZl707W8sR9IE720rD743/7rz/yPXjfw4Lr049qUxym5iI+NnCQRmW5i68HSMo02Mwqb5QJ+x5iIcWC3sypeGrakNEwVvhiLoNnYg2UHhXdyQdJXRC5oks+pCKM9itx5+Tt+Go7pg9LMC5iZhCvP+5xkap8V4y2RGXQAl6jF0UhLcEtcc4u0OOTVBz2/85en/N4ffoft6Ybaw9d+4jme+8oP8z//y1/i7fc2NA6+eveE/+G//Rl+5hvPQCoaTKqTImVWG/OtAj5lu3ZObLz6/Htgn/X5Ivb0QXaDMX3+7fCf/4sr254q+D1/GK4DbqfKzKyilTSBeFwwkmQeVXgmGY1sjgSKU3LFgQVUIQQl54a6jiwWC4bdOcOwo+97QggTHjUyywWLzkZHNdIM5sc//nwZK7v8feafuY6m8EnpAtf97cvH4MQKCCP5dDyWi39bEQk4H+w8ukATAq1vaFxN1XjcwnNycodv/viPEf7pTxPCBl8N0ASkPeLHv7rkf/2Xv85v/X/f5k+//y5vvnGG/M1nECdoTNbuUoTf0DJR+FPG3W7si2tPxTFdTnfmdjnVuRIBiNWMriu/X3B0clUF2vs9sXKU+EhtxTBY9ORCReh3SKhwVV+UMzMpRZzuH97LHe2X//513+9K+vQE05T5ceYSEeWsMwxvPKa903Xe4UJNqBt8LSyqhqWvaVxDXXXQeqgSbd5QqwM5Azknac9u+yY//aO3+fp//5/z+394j9/4zT/mpWePTPLJgXpXoiZbRIz+MdI5xwLIDcj9g2yfuWOaP5jzEvxlp3Md9nJdRKJuHNu8f6UAtVbNcVDUCYwTI9ODl7Puqz/enJPz5SEcq3q9aUwPQyws8sQw9OgwkHO6wDSfR0/z7/Ao4HseGX0c/tIH2ePhTlqipYsR0hzT897jvSf4Gt/UNkG3q1g0DQtf01BR+xoNnuyFOkIgoNqRo6JDpmIHw5scuVN+5m+t+Nmf+ntofB/SmY31LoQARrUARtC7RM7FK904pR9ceyKO6erDOf7b1fddjDTGefNa+C77atE+Ypr2XB4uQXy50bNhRJrViJYz55dSYogDSKEhhEDnPG3bkVKy/3IixsjQD2zPHjL01uYSY8T4QG56oOcp0XUA+B56LvSHfZjyqZznD6vKTT+XiEnElcGRAGpz/apAUzeT1nZoa2TR4JpA17S0BKps/KMsQhKI9Sm9erJ6cmxw2RPoqXKEMDDIewzpPhCMoxQjLiVbJMZT4OxYvDgkm8KE9WXfuKYfVLs6jGCeAI0/zu+Py9vmz8PlbQpZHCNlb4oYivpklkwW2bN7xzRtdFzWiG76z4gpHzK2+5Zwf3q+CzjtHF4EyQmKyH1WExhDTRlTsOgpDQn1ii8Ppa9sEmwoTiarEmOkjgNNqOi3G7yrEQ04qQrmZB3vmhUkEzWOz/5MpMPOgBOHjhW9a565T/IYXnepxp9H/K2cRZyEgvEEgvc45/HeWd9a0xgNo67wTY3ralxVUfmAxyG5+DZVVDKD2zBoIqUWYUElDV5rskY09agOuEJQzarlWMq11YwTZ3PsxIizGRsdlUuVTi/dXxmmHt7HPV/6OPfxl2XbBz2PT2vbh32Ha+yqY5qvvNct5h9lm2CpFLObIysTzVswOV2dpXoFWFBVEql4q3065kbHcwmDUi1SGJqNPpAt0ppK33mc8OqLA1NIjuggOUGzIwIyqRSUNNBVuDqwlEDtWqqwZLU8Yrfbsdvt2Gy29P3OnN7obDWhZRySkUBdmTgi09eOE79hb9deq2susrirJ3yv5X2RorDnImFFARVccPhgk227RUfbtJbCBU8VKnwIaFUhIeCDx4k3cTcRMhZ95uI1cmoQVWoXEJ9wXkmqpJI2qgZ0YJIrwZV7wduxjshSUmb8pv1CduFUlHsqj+floz683Gz7VPc1v28wgHwAAATzSURBVAYftO3D9neNXXFMle72v1z3pHzcbR/yHls3ZdquqlaBu/Q+yba6jmzKPHoe+1cToFdwqnvsSRXFIiMvJcVCyU5JUrApVSgCjvO2FO+sbSJUpqzYdg2qNTl3nD58yMMqcXY2TBIqPtrDlZM9wKLgNTCGemNKVT8mIfK6cyVFf2reXzjeDzJia4jRKkpoJoVEGoKjriuapqJparqupuva4oAMM3O+sO8l4UVBk53Lon8lOY/8bHy5Zo400TYuY4QCaGSKIqX0xNkggRKdpmQTV8ZjRfb3w6POx6d5f/6gbfu8HMcj7IpjCrqXV93bZx+Tll52u4mLYxKu6evSi+9zMyB5TBlBEDUukyv/oChOM6IOUnlvqd6Nf2+q6I2pmIxOQNCQUbdPIr2HxbohNMLqcEEsLPPc98RCP9j1vbHU0+4KPcCLu/LYPS5Te3JGup//McYZoxMe9xVm+tlVVRPaJaHraBqTF2nKvDa1k4tgTc9e1K5J3nPARA27c4wjkkp4W9Jsi3z31/di8cLIRyI2l07EJHZVDQs0F1W+zUwE7oubv3za257s8/hkt121K46pd80j3/xZmjmiaTIYitqY6WvscnVLL0UFYOzhfTQxOxmXzotYZ3Ah7JX9+IsP1rg4ixNL1ZJFVK5d4FsliCPnRL/dMWw3+N0W3W6Jmw0aI2m3JUYD1FHw4qjEX4kI9Bo54GvZ7+WBRpgE/XEy4Veju3BFyyq0Lc1iQdM2VMs1VdvZVFts0u4w7m/8zk5xGZPA1X1KOLbuXChozJ+fyaHPzl+5Njo6+rmjHU/s7CtqIcd+GPE0P2ZKcGOff1tcs+2KY3pXbpefnqz3tNTBIiclz25wufLZsRqn5XPqZxHTmMqIlj+js8+ND6BO+7EfdXZYszu+bFeErDbgEZRU1A5CCHtg2UFqIoNsiaFn53fsqh0ppknQzpQNov3NmJBLfui659Bdo9ZoFa08OahMRsQjPuC9DQy1UetLpGmgqdG2IzcNO18xBJvtZtNKMMdcwPHJObN3JGO7yP4c6T4yktn1kfF7yLQvuzZazt14PWaRlq0L+304i6A+LGLKs4Xk6UczT2Lb5ynC+XS3HXHVrjimg6///KP39bSvzdVfHmmXBzs+8n3XbJuwG5m9a453XcnBxrcJ0ZnTSLMRRTmlktIlUoxozsQhXc5SbfLLfP8KI01i/rfmKdxkXmxybTBlSHGepja9I6MGCCIF60rjdywO6YIDGA9m7qeLA0evXp/HpTvoNZ+d9n9xm4yO6wPua5Wr265735d62+fhefw0/Ow1dqVXDt7/4E88dXtMj/OJ7JqHLWvJR645jAtvL6NgZRxQPY/4ZPZ63fCA6x7y613n1fMwj0jypW3luCYH4/aO4lGnc4o4P8we93rc5F439ig7uLLlSsSk2tnrbNvnZYGY//JpLTh6NVO89hFys/8/0hTUlx9zSTNVp+EHE1kUbArMpY9fO+nkmojkWn9SHM2Umcp+GORYxRw5XFP0U2KTxNUIzOlF5/eo86kfHNjst136Go/c35Vv+3j2RQg6Pg/Pz+dx23VB95WIKed49V1fZpPHeRhKBekxVn03stHV8rLJB2Dg/vj05evuWtErBzN+Znr79Ba98Nk9UHx1H9MhYAwyRS4A0XrZuwD+moroE7HHuh6Pn6rf2OffnLvagPL/AycaxJFzKtsOAAAAAElFTkSuQmCC)
Maths-General
Maths-
Simplify: [[1/4]4 × [1/4]4] ×[[3/5]12 ÷ [3/5]5]
Simplify: [[1/4]4 × [1/4]4] ×[[3/5]12 ÷ [3/5]5]
Maths-General
Maths-
What additional information is necessary to prove that the given triangles are congruent by ASA congruence postulate?
![](data:image/png;base64,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)
What additional information is necessary to prove that the given triangles are congruent by ASA congruence postulate?
![](data:image/png;base64,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)
Maths-General
Maths-
What additional information is necessary to prove that the given triangles are congruent by AAS congruence postulate ?
![](data:image/png;base64,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)
What additional information is necessary to prove that the given triangles are congruent by AAS congruence postulate ?
![](data:image/png;base64,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)
Maths-General
Maths-
Solve: 8x . 4y = 128 , 92 x - y = 1
Solve: 8x . 4y = 128 , 92 x - y = 1
Maths-General
Maths-
△ ABC ≅△ GHI
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMUAAACyCAYAAADyHwuJAAAgAElEQVR4nO2deWAURfr3P9XdM7kICQHCEQIGkHMBQeTQRZF1FRXWm9X1+KkciriCgCiwgqy3i2g4vfECFQ8UZVdYFdcX1xNQQU5XBAIJyJ17urvq/WOmJ53hjklmEvqzOyZMemZ6uutb9TxPPfWUUEopPDw8wmjRPgEPj1jDE4WHRwSeKDw8IvBE4eERgScKD48IPFF4eETgicLDIwIj2idQc5GhnxoSUAR7GAGA7TpOhJ8t+1m5qNAj8tPK/io5PAKvXzwUTxQVQoGyUUqghEAKEWyUSiFQCCQIBQhQkaIQCFG54nA3exF+BM8FFEodWRRCeKKIxBNFhSnfsIUKNkQNBcII/d2mfLqAOuxrK/+sygQRRAsJURAUiftcPCLxRFEJCAUoiVA2CpvNv2yjqCRAmzanYhgG7gZYFXIoPxYFxw2lFErZaJqBEDoAtm2jaVp4pDryCHJyI7zcpwqibJQCJfRgA7RNNM1mz848bhoynE0/5/Dqq69wRveuyLDXoRBoiEq248vGhOAIIW0LKS00AbaEXbv2sm1bDrt37yY+Po5GjZrQtGkTUlNTMQy9Us+lNuCNFBVGuLp9hRCg6TrLP11G7o48NM3PW+8spGu3LqAJCAlDQ1a6KIJno8KjhLQtQFJcXMpH//6IdxctITcvl6KiIjRNo169evQ4owe3Dr+FtLR6lX4uNR1PFBVEuX4TIvgwi4pY9O4iLux/EUlp6bz55gKGj7iV5hlNsQg2XFUFBlTwfVXo3RW6LlA2vPPmmzz0yFTO7nsed4+7m8aNG1EaCLB27VpWr1nNwfx8TxSHQ3lUAKlsGVC2tJW0pJJWqVIyX61c8f9U29Zt1KeffKq+X/Gtan1Klpr32hvKVEoV2rYK2KXKlqVVcDZSWUoqU1lKqWKlZKHauHaF6ti+vbrltpHKMu3Dvq7UPvzzJzveSFEBFKCEQkgQSoCmUMrknUXv0TirLV1P70bdJIMuHdvwz8Uf8Kcrrwg6uCo0TlT2YBEatpQQKBUctVZ8/S3bfz3A9TcPQzc0Cs1i8vfnI2wbTegYcXH469TBpylEFUbDaiKeKCqMBigQNgjYlbeHfy9ZRo/fn48tLfYeCND33L5Mm/kca9f9j86d2qCkRiVPUQAglEQLO/EGINm2LQ/Dn0Cjxo0BKM4/yMsvvsCBXXuQJviSU7np1lvIymhY+SdUw/FmbiqEAKUTFIUJQmf58i/ZtGkzBQUHeX7ui7w891lycnI4uG8v77+7ECFVaBajKlQBQgUnCxUaoKH7/EjTorioGABD16mXkkKDtAZs27yVZ2Y/z66deyv/XGoBnigqiJJBU0UJE8ss5sMP/k2Hdp04rfPvgo1UaLRs1ZrePc/gow8/JHfnPoSoIlEACoUtFLYITtC1a9cSXZXy1Rf/xZaK1JT6DB12G3eOv4e/XHstKfXSEF409rB45tNvRAjJprVr+Oqrbxh51wQGD76u3N8zmzXnz/83jP9+8V8GXT4AVNX0Q7YmQhEuia5MevfqxtlndeW5OTPIaNqYrp3aEufXUDZs27GFIrMQ6YnisHiiqADh/CIhAJ3/bd7Kad1Op1+/vpiAtE0028KnC3r07s2llwwkb0cOUDXJFUoEp+1EyGWWUlIvPZ377pvE+AkPMPlvkzi9exfqpyaiSov5YfU6mp2SQUJifBWcTc3Hm9GuKE7+kFAUFBSA0qiTXCc4W6BAcxICERQXF1NcWkK9lOCcQOU72yoktqDpJKWNhkBoOr/u3MlH//yQTz5dxrbcHcQnJdLrrLM4+w/n0bFDR+rG+b3YUwSeKGohSjmCVEfNyA1IhU/zArKReI52JaGUwt2/SCkpLi6O5hkF/6tsTKsUyzZRMpgoKKVC2gph2+D1iYfgiaKSsCwLKYNZpwUFBXz88ccsXbqUaA7EIrTOQ+gaUilsFVz85Cwt8ul6pa/tqA14oqgE3A0/Ly+P+fPnc8cdd/DBBx9EpdEJUbaQyQyYHNx/ACEEUqrw39FEVTg3tQJPFJWAEALLsli9ejWPP/44n3/+OZ07dw6tpYgue3bv4bVX55F/4AA+wxd8UjgRK4/D4Ymigti2HTaX9u3bxz//+U8ee+wx4uPjmT59Ov369cM0zaiaTwC2lDzz7HO89OJLmKYZfM62kbaN9BYZHZbod2U1FGd0yMnJYcGCBaxcuZKrrrqKq666CgDTNJFSRt1m1zQNw/Axb9582rXvQP/+/cNCjfa5xSqeKCpIcXEx33zzDfPmzUPXdaZMmUL79u0xTROfzxf1EcKhpKSE5i1a0LNnT+bOnUtmZia/+93vsCzLizwdAU8UR8EJs4pQSramBa3NvLw8Fi1axCeffEKfPn0YMmQIcXFx2LYd7n2d1zivjxaWZREIBLj66qvRNI1p06bx0EMP0bhx46AwPA7B8ymOgpQy/BBCEAgEWLVqFdnZ2Sxbtoxbb72VESNGEBcXB4Cu62Hn2u/3I6XEtu2jfUS1oGkamqYxYsQIpJQ8++yzFBUVhYXrUR5PFMdA0zR0XWffvn28//77TJ06Fb/fz4wZM+jbty+maR624ft8wUiP44xHE8MwEEKQlJTEpEmT+Oabb3j33XfLhW49yqhB5lNkzSQV/l1hh1LhfrvG3T2nrutIKfn555+ZP38+q1at4rrrruOyyy4DglEcXT98qmksmE4QPEf3bHvLli25/fbbmT59Oq1bt6ZHjx6e4x1BzRGFMglIm5wCiQpYxEkTS+jocToN62jEawm/eZmnUgrLslBKYRgGhYWFfPPNN8yfPx+fz8eDDz5Iu3btwvWT3DWUDvdesYBlWZimGRavZVmcf/75bNiwgRkzZvDAAw/QrFkzpJTouh72m05mao4o0DiQX8TTC79hn6lI8WtYtsWpTetxzbldiI+vnMUBTkPfsWMHixcvZunSpZx77rncdNNNJCUlhWP9QoijNiC/3x/KM4q++aTrelgUwZltybBhw9i8eTOzZs1i/Pjx1K1bN2aEHG1qjiiETkGxYP2mbZx5dk/aZdTFsm0a1IkjTvf/prd2zBwhBKZpsmHDBl566SV2797NmDFjOPPMMwHCvsPxmBnx8fFIKbEsK+yIRwNn1HN8HE3TME2TuLg4xo0bxx133MHrr7/O4MGDy4WST2ZTquaIAoGpGSTGx9GtdTpnNEtBN3TiDB2/ZQbzFipwI53okmEY7N27l48//piFCxdy6qmncs8995Cenl7OP3CiS8dqNGWlKaPb+zojlXMejkhs26Zx48aMGTOG+++/n5YtW3L++ecjQ5m0jnl4MlKDRKHQNYnyxbHkmw2s3WgQp+t0a5dF56bJxLsc7xNBCIFt22zevJk333yTFStWcM0113D55ZeHG0VFojSx0uOapollWeXmT9zn1LNnT/785z/z9NNP07x5c9q1axdOTzlZRVFzvrWyaJCkGHTeaXRsnEw8gm/WbuMfb37Gyr0BVAVLyhcVFfHFF1/w6KOPsn37dh588EGuvPLK8AhSUQzD+M3vUVm45yMiRSql5Nprr6VDhw5Mnz6dXbt24fP5oi7maFJjRKFQJMcLLj+jNTed24VbLurJiGv7syVvH1/+b8cRtyWB8qaDYx4A5ObmMm/ePGbPnk337t2ZNm1aOLr0W2P4jqMdC5N3fr8/fD5uc865Hpqmcdddd1FSUsILL7xASUnJEUPNJwM1xnySSsOydARFaLqfUqEjZID6eimp2tELxziNwWkQgUCAdevWMX/+fHJycvjrX/9Knz59wsdXRoNwR3uiiTNPcTiRCyHQ9WDV9JSUFO6++27Gjh1Ly5YtueKKK9BP0kVINUYUSuhs3l3A1tw9JCSnUCoFX323gYyGKZzWKuOY3oTTKPbt28cnn3zCwoULadmyJU8++SSNGjXCNM3w7HVtwrbt48pxUkrRrl07hg8fzpw5c2jevDm9e/euhjOMPWqMKBCCA0UmX6/5iYMBhRIGqXUSGHLVH2nVsA4ScDdn98jgxObdzvT111/PJZdcAhA2ISqzV3R64FiJPmmadswZdiklF198MT/99FNYGBkZGdV1qjFDjRGFpmx6tE6nc9ZFHCw1EQLSEuIxsEEWgpaI4yK5bXld1yksLOTLL7/k9ddfJzExkYceeog2bdqEjz3WRFxFiI+Px7btmPApDMM44ipAt0gcH+OWW25hzJgxzJw5k/Hjx5OcnHxSRaNqzLcUAmwFPl2jYWI8aQnxgMJUEluUn7xzbqAQgtzcXF599VXmzJlD165dmTp1Km3atClXaKAq7OZYmadw5iWOxyx0wtPOxN6mjRt5/bXXwrP4Jws1ZqRQiGARYWUG/6UESuighfYGUmVzd5qmUVJSwo8//sjrr79OTk5OeGba6Q2dMGVVOZLu9RTRxLbt8CpAzXH+yx3hbPVCqIibhm0rWrRowajRo3nggQc4tW1b+vbtG67/BrW75kGNEYUGwTuhILy1liA0kw22LRFaUBDOzPR7771HmzZtmDlzJvXr1wfKRpGqbqyxErWxLAsZSmCUUoHm3lxMIYSNhYFEoWOjaxIUWErjrLPO4oqrBjH7qadpktGM1qe2Do2uKlgeJ3pfq0qpMaIADYR2xElroQksy2TLli288cYbrFmzhkGDBnH55ZeXfxfXLHVV4qzEiwmfwudDN4zgxpWuGZ3gyKvQhA1IdGEhKAWh0JSGKeO58f+uZ+P6dWQ/8Th/v//vpKXVx7bsUImcGmN9nxA1+lu5e/uiokI+++wzpk6dys6dO3n44Ye5/PLLy03WVSeOYxvtGW2lFJoeqhcrLYSy0UI7ZSihQEh0aeKTNkIaKFkHJZMRMhFNKgwhGTd2JMWFB3n15RexSovQKbum0TYPq4IaKwp3Y3Oc6aeeeopu3boxdepUsrKyYqKXjhZOYy0tDYRHV6VshFJINKTQsTCwhC9Yv0AGkEJi6hqmDsqQCF3DtBUN05sy5q5xfPLJpyz990cIXUMILTwSRlv4lU0NMp/Ko2kapaWlrF27ltdee428vDzuvPNOzjrrrPAx0ZyIc8y0aPSk7qzegBkIV+3QNJ2AKdlXlE9+wKTIVqQmJ9E40YcPi70lAbYfLEJhEidNkjQ/DRrUx7Ihs2U7Lr7sKmY+PZemLVpzeuffHZIpUFuosaJwp3m3a9eOqVOnkp6eTiAQKLeoJlo4hQui0Yu6G6lAYBiOH6VRFCjl82++45dde/m1COqkpnHted3ITKvDt9//zLv/WUfDBinEBfJp3tDHgAF/YEfuTtau3UibLqdjfPQ5D/5jBjMeu5+mjRuWy8CtLcS0KCIblKYFh+ytW7fy2muvsWLFCm666SYGDBgABMOPziL9aBNNUZRD09D8CcHflcSvQcdWLTi9a2fyCmwefO4D2p3SmGY9TmXP/r2kpOj8+ZLTiVMB4oWBoQlWrFpNQt1kup7eiYuvuornZ8/i6Wef4Z6xo0lISKh1I0VM+xTuNdOaplFQUMB//vMfHnjgAfLy8njkkUcYMGBA2Jl21hjHgiiiifv7m6aFrgf7Plsp4hJ8ZLZoSmJ8HElxOumpqfiSEpBYxAk/CSoeq6CUEksSH+fDUIp6deJRSHIP5mPE+7hz9AhWr/6Ot99+u1b6bTE9UjhZnJqmsWPHDt5//30++ugj+vXrx4033khCQkI4CzTa5lKsEigpxLCD+2QoTacIjZW/7OTbjTls3raftOS6tG7WAIlFaqM0Cv63n/eWreGAbdKsfiKXnNOF7l278O1337N25Q+0SK/Pmad3opFf58lp08jMzKRv375R/paVS8yJwj0UO870jz/+yPz589m+fTtjx46lZ8+eQFladCyODrGTEKggVG1cl5IkIWlTL4HkNo1onZbO4v9u4ouVm2nZN4NeHdLo0roJPivAhtx87ntxMRlN6nPZ6a3p16sbBwuKSElNQ0jJH//wB37auJFZs2bRokULsrKyyiUf1mRi6uydRD7n4u7du5dFixYxdepUUlNTmTlzJj179gw3NifVOxZvQlxcXLhwQXVTztHW/CTUqR/6h4lZup9EXz4dWtShT7dG1GmQzKoNOZjKT1FhCdgmfkNRv04Cqcl1EICNok6cQdMGDYg3NPwIUIqhQ4fSqlUrZsyYwZ49e8L3L9odwW8lpkYKJ1tVSsmmTZt44403+OGHH7juuuvKpXk7x8ba6OAmmkJ1Lz9VykTXgsJUWgJbd+1n+apf8KemcaAUivfncfYZHUDG8Z+V69hdapEa52PdtgJaNkml+6lN0e0ACIUMZpmhieDab8PnY9SoUYwcOZJXXnmF2267LTxCxvK9ORZHF8XhivIBiOAOoAIR3pcTUbENBSPXDhcVFfHVV1/x+uuvo+s6jz32GFlZWeHQX02+2NGgpLgI7GCWq1I2DevXo2njRmzYtgfN7+P6/qfRoVUmSVLSplkz9q7fxM49e2jT4hR+37klTZMNNDOANAxkcM/V4ASgUpimGa4IMmXKFNq2bUv//v1DnxUbhRsqwtFFEdoOytaCX0wPJZSBCGZJBlNngpt/aBruFLHjvRZOxqpTgGzRokUsW7aMfv36cfPNN+Pz+cJrpqM5IXaiOOcajeiM+/rYtkTXgj6FUJJ6dXz079Wa/r1ah4+RBO3oLi3T6dIyvex9ACUlwudDoaM591cI/D4fhEakHj168H//9388/fTTNGvWjE6dOoU7sVj0947FMc0nBUgUmoLS4hIOFuZj2qEwqdBITk4mPjExeJwAoU6s0IzbmZ43bx55eXmMGjWq3FLIyMhSTbjI8fHxCCEoLS2t9s92Xx9N04iLc9ab6BzOjdQA9EOfF4DQNCiTQ9lfIu7BVVddxaZNm5gxYwb3338/DRs2DM/T1LTI4LF9CgFCKHShsW7DBp5++imU30+czwdS0TwriwsHXEzL1i0rdAJ79uzhk08+Cad5T5w4kfr164frn8aiE30s3CHiaI9q7nOpqs7EmSe6/fbbGTVqFE899RR33XUX8fHxUf/+FeHoLU5AcKwImgC//G8T816djy8unvYdO1KvXgpPP/0MDz74MPn5heEa4JFbDLqjSs5Fcqp5z5kzhwULFjBo0CAmT55M/fr1wwWMa8KIcCSiPpMdojpWzTnmb0pKChMmTOC7777jvffeq5GCgOMyn5x1WRJD12iQ1pBrr72e7t06AZCQVJcnZswhZ+sO6nU8FVvZod69rEG7Nz4xDIP8/HxWrFjBvHnziI+PD6+Zdkrb17ThNhL3qrtoiMMdfSotLS23NLaqlt4673vqqadyyy23MGPGDLKysujVq1elf15Vc1RRKOEsbAv1/qELfTC/gEDApLiogMKiIrKyWpJcNzk0PiiUkgjXAhT3EL59+3YWLlzIf/7zH84//3yuvfZaEhMTCQQCNdJUOhK6ruPz+aLiU7gRQlR7gecLLriATZs2kZ2dTdOmTWnevHm1fv5v5dg+hQSlhUwoTWGaAZZ//hX5+fvYuHolb76xgJuHDadpRmNMVb7MjIMQgpKSEtatW8frr7/Orl27GDNmTLgXqY3hVvecS7RxROGO9FU1w4YNY926dcyYMYNJkyaRnJwcLiUU6xz1DIUUCOWYQhKhK2xl892KFSxduoR1G9bTqGE91q79njUb12MpibQJvaYMXdfJyclh/PjxFBUVkZ2dTa9evcrlLfl8vhpxwY6HyNKU0fh85xEIBMLPV5efppQiLi6OiRMnsn37dubNm0cgEIiNrOHj4DiiT47jLFBSkZSUzJ13jqLP709HqiLWrPqRK/98LYlpaTz2yEMoG5QqP5GnlCI1NZXMzEzS0tIwDKNc+oO7InZtIhY2WgwEAuG9Karr+kopMU2TjIwMRo4cyd///ndatWrFeeedVy2f/1s5RvRJEow8KUDHlhpmQOI0eU3odOzcmVPbtCEnJwcFaOGKG2VYlkV6ejqTJ09m06ZNzJ07N2wyudf6RrsBVTa6rkc/98m1p0Z14d4Ap2fPngwaNIjZs2ezfv36mCn9czSOw14Jxp+ChwoCgWJ++mkTP25cz3ffr2L+q/PYtm0bZ511Vnh0iOyRnLL0zZs3Z8KECfz73//m3XffLReerW1rfTVNwzCMqBQScxqlEwJPSEio1s93zGFHjNdddx2dO3dm+vTp7N69G6BcMbpY4+iiUIKghaUDgnqp9WiW2YgFb87nvkmTmTLpIeY+/xJXXDmIa/5yDRYKMEGUT21wp2h07tyZoUOH8txzz/H555+He45YvUAVwWmUsWAOWpYVFV/NLUxd1xk5ciTFxcU899xzlJSUVEvtrYpyjHE1FJNVGghJpy6dmT5zOvuKi7BsiV8YZDXPIqtNS0oF2NJECcdcOPJWugMGDCAvL4/p06eTlpZGp06danxm5ZGIxo13Vz90HNxoYlkWaWlpjB49mkmTJtGqVSuuuOKKmL3fRxdF6Jx1AAnJ9RvQ/cyGhxymAE3a6EJDw0CJI1ePc27QjTfeyNatW3nyySd54IEHaNy4cXgmuzbghB+jYT65q3k4tWSd56u7IToRL9u26dy5M0OGDGH27NlkZWXRvXv3cv5FrNz7o5+FBpoWyv0K/3IoAvBrOj6ho2t+hDjyjLQzbPp8PsaOHYumaUybNo39+/fHzEX5rbjDzNEShds8ieburFC2rBhgwIAB9OvXj+zsbLZv317OfI72iOYQtVZomiYpKSlMmjSJrVu38vLLL9eq6tbRNA0iQ8GxkpzonMPw4cNJSUnhySefJD8/P+x7xIo5FTVROLO9mZmZTJgwgY8++ogPPvggvP4gWuUuKwN32DGa38HJJIil62jbNklJSYwZM4b169ezYMGCmJvprvYzceLmTlq4ZVl06dKFoUOH8sILL/D5558jpaS0tDSmbuaJ4phQ0foOTu/rJFk6z0Ub555nZWVx55138vbbb/PZZ59V+1zK0YjqmTg9qWVZ/OlPf2LXrl088cQTpKWl0b59+2ie2m/Csel9Pl+5NItoIIQgPj4+qufgxukkTNOkX79+bN68mdmzZ3PKKafQsmXF1uRUNlEds5xYtiOOm2++mS5duvDkk0/y66+/hk2saJshFcWJukSLSEc7Fq6hM2flmEs33HADrVq14rHHHmP//v1A2TZj0SLqhpyu6+GhU9M0xowZg2EYZGdnc+DAASC2Zz8Ph2OmRNt5VEqVM0NjxXxyShM5UcgxY8awf/9+XnzxRUpLS6MeiYq6KNyzv1JKkpOTmTBhAhs2bOCll16itLQ0pmc/j4ZT+7a6cYsgEAjElCjcOFm86enpTJgwgWXLlrFkyRIguucadVG4cW5i8+bNuffee/nkk09YvHhxjROEM0kWrUVG7rwnx7eJRZzO0LIsOnfuzPXXX8+zzz7Ljz/+WC6MXN33P6ZEAeDz+ZBS0rVrV4YPH87cuXNZvnx5eLitCT6Ge/SLtk8hhMDv9x/74CjgjkQCXHnllfTq1YvHHnuM3NxcIBjCrW7zOaZE4TQkxwm74IILuPzyy5k+fTpr166tkcmD0TIDnM+N9f0jIhMn77jjDhITE3nmmWcoKiqKypqUmBJFJFJKbrzxRjp37sw//vEPcnNza1xRg2jPU5imGdOicGPbNsnJydx9992sWbOGt956C6DafcqYF4Wmadx55534fD7mzJnDwYMHa8xNjtZ6Cvdsek0qFeSYm61atWL48OG88sorfPHFF4dsxFPVAolpUTgXKSUlhXvvvZfVq1czd+7cGtP7RXuRkZOI5zjasW52OqFagH79+jFgwACys7P56aefwqNFdZjPMS8Kp5Ba8+bNmTJlCkuXLi2XI+VxKEcqnBBL+UXHw4gRI8jMzGTWrFnhxMHqIOavUmQ+/m233cZLL73El19+GfNRqGjhnjyMXCNeU66Xsw5k3Lhx7Nixg7lz5xIIBMoFYqqKmBaFe1MWZ/i8+OKLGThwINnZ2fz4448xGY1yGl601lMciZq0utGZv2jcuDEjR47k/fff5+OPP/bMJzfOxbBtm8GDB9O2bVsef/xx8vLyYs4scIsimhUCnTSKWJ28OxqOgC3L4swzz2Tw4ME8/fTTrFu3rsqzj2OrNR0Fd+KgpmmMGzeOuLg4Zs2aFc6RihVzyt0bRzv3KdrnUFHcqe9SSgYNGkT37t3Jzs7m119/PcFSOYpASQmbf/6ZoqLgppgyVApWyVJytv7Cnv37g5WZVA0ThVN8WSlFcnIyEydOZOPGjbz44osUFxdj2zamaUZdGJF1l6KFZVnlRqqaJg7DMPD7/WHzecSIEViWxZw5cygqKsK27XK5XYdFgUKS89NGbh86jO9/XAtAQEkUpZiFu3ho4l28tfifwdr6UtYcUUD5UKNpmmRmZjJ+/HiWLFnC+++/H45IRVsUTuOLVjE0d5Vxtx8R7etyorhnu23bpl69eowdO5avvvqKRYsWHd9ooRQCQdGBA6z69lsOHiwIPh2qfCnNEjau/ZHtO3cR9FRUzRKFGyd5sFu3btx+++28+uqrrFixImw/R3M5qHsdQ7SrjhuGEXM+V0UxTZP27dszatQo5s+fz7fffnucG8MINN2gTp064V2dfBgI/Pj8iSQmJuM3/GXHVum3qELcptRFF13EgAEDmDZtGuvXrw8vebRtO6rzGdGqJeue5HIv6Klp5pMb9xqMP/7xj/zhD38IVwTRdT28BuPwkamgo2BLm7zcXLZs2caWLVvYsiWHbdvyKC0xce+nEjsLY08Qd9kUgJtvvpmcnBymTZvGpEmTaNq0adST4aJZJdARpDskXJNFEXkthw4dyvr168P3Ozk5+WivDlkWJs8//xIf/vPflFJEvJAYJcVs27IdwygrA1RjR4pIDMPgnnvuQdO08Ayo3++PSgKhu2eOpvkW7dT1qkIpRWJiIvfccw8bN27ktddeC48Qh7/ewed0XaNjxw706NGd3j160eOMXnTr1p3kuilIGdr8WtTgkSIS28ujDWYAABL+SURBVLZJTEzkb3/7G2PGjOGVV15h2LBhGIYRtUmraBcucMynaFYIrAocsbdo0YIJEybw8MMP07ZtW/r06XOY7ycBhW2DoScwaNCVnNnz9LI/mwf45weLwSxBA+ya7FNE4vTKmZmZjBs3jn/9618sXrw4/PfqXJwU7TKQ7qhMTZ28Ox6klPTu3ZvzzjuPhx56iG3bth16kLABGyk1lDQoLihBAqayQRVSlL+bQhXAJ0qDotBqmSicXqJ79+6MGjWK559/ni+++CJmKoBXF86I4PSoNS0Uezw4dXrXrFnDgQMH8Pl8FBQUHHJcyJBEaBoSCxWatiP0vNIMbGej0tCztcZ8ipzxPv/88/n555/Jzs6mfv36tG/fHtu2q1Ug0fIpHCzLiqncq9+K2/zbvXs3y5YtY9GiRbRo0YIXXniBRo0aHXq9hYZCkZxalx69zyAlNeiQawhAx/An0KlzF5plZKARdLJrjSgc3LWi3BGpv//97zRq1KhazsFduCAajq7TcCJ/1mSfwmnsJSUlbNq0ibfeeosNGzZw9dVXM3DgwCNWQVSh1zZveQrPvPA8/uQkLMAguMWEL74ODz30CLo/AZvgbna1xnyC8o3AKRc5ZswYhBDMnj2bAwcOVEujcD7DMIyoigIot6NQTUYIwa5du3jvvfd49NFHKS0t5R//+AeXXnrpUX03hYZEQ/MZpKSlYPiMUI6TQCkDRBx1UxqQlJCECKV41CpRODhRFyc1YNKkSaxfv56XX345PMMc7HmObdqE0sYIppCV/SYh/CgbsZXzTPj1sbSmPNrm3PESeY4lJSV89913zJw5k3feeYcrr7yShx9+mMzMTEzTPGoquUKgHNNa2ihkaF94AAFCD99VDRBK1T7zCcqiPs5MZ7NmzZgwYQITJ04kIyODSy+9NOR7CHRd4MxmKiVQKtTTqqAYbCEQykZTAZTQMYWBVAqhJBoaAoEmFZoe3FZZBTceR9c1UAJph26ADP1HiCPu81HZSCnLJcw5/las4l4r4Zznrl27+PTTT1m4cCFZWVk8/vjjNGvWDAh+v2ONgjoh/yH4/7IGH7rtIvyPsh+1UhSRqdu2bYfrSD377LM0bNiQs846K7xzkrPJTLDxhLbGIth4g21YxzYlmiYRSiE0HZ8IoCMRykChYSsDWzOwUBiI4M3QDQ6xnoIfUS24Uz2caxHLOOLVdZ2ioiLWrVvHO++8w5YtW7j66qu55JJLypnGxyNwEfqfc821sj8ccmStFoUbJyIVCAQYOHAgubm5zJ49m0aNGtG27am4TZ2gyRXcErmktJQ9RUUUBUz8cXGkpNQhkQBISe7+Eg4EShDCxq80GtZNJSnRoKC4hAP5hfiEIKN+KkacH0s60Z+QGqqxXTrzFDVFFE5kcOfOnXz88ce8++67tGnThkceeYRmzZqFl9dW9WhX60XhTuMGGDx4MFu2bGHatCeYNOleMpo1DodqISQiFBt++h9frd/Mzn37KSSBXr/vyXkdMyg+eIDnFn7GTiVJjtdJlhYDz+lNyyY6q7//gcLCYgKWTUGbdkhhhEwlFdxPE6fnqlrcUSb3muZY2xwFyopQCxHcYGbNmjUsXLiQrVu3csMNNzBgwIDwcc6eH1VNbF2hKsJdmlHXde6++24MQ2fGjBns37e/XJq5EKCkJD4+jtO7d+XKywag4uqy4KPVFEgwLcWeYj8D+p7F7X86h1suOYcOTepyIHc7OVu30efcPjRr2YqVazdgSgu0MiddChHchbmacEpOOsSak+1ktSql2LlzJ2+++SZPPPEEPp+PRx99NCwIOHS9flVyUojCjZSSunXrcu+997J582bmz5+PaZpomh7qXYOzn21PbUWnlk1pl55C68xGKDSEBXHKQtMMrBIbu9TCr8XhMwzQ/Wjxddh1sID8gE1icjLC0LEtOxyeOr54V+XhLOV0iLXq7ZqmEQgEWLVqFdOnT+fDDz/kmmuuYcqUKWRkZISPq+51MbXefDoclmXRpEkTJk6cyL2T76VRoyZcdtllaEKhJEglg76Fz2Dzrp388OMqenU+jbo+ie2DlukGK79fxxotOFvar1d7OjRvSrPm+1m3biNSwukdT2XFwZ3YpokK+RLR6IEMwyiX+xQNv8KdteuYdkopcnNz+fTTT1myZAmtW7dm6tSp4ZT/6hgRjsRJJwr3OowuXbpwyy23MWfWLDKaNKbXmb1wlrQLn8GOX4uYv+Qb0hqnctnvO2BYEJ+UzPDLemBbFruKdOYsWs67n3xNpyEDOadrB/YWFxFvxFHHZ/CDtII+RGhf8erq69yNMBayZB0zyTF/iouLWbt2LXPnziU/P5+//OUvXHDBBeHjdV0/JIJYnZyUonBz8YX9ydm2lekzZpKSmkrbDr9DKcjdfYAFi7+lVPi48vyzSZY2uiUolRol2Pj8PpLiIb1+XXbm5YG00TRIS0gs50q7P666bq3juDqLjKJpMrnz0ZzR4eOPP2bx4sWccsopTJgwgaZNm2KaZrhmbLSjZCedKCKxbMnQwUPYmZdL9vTZjJ80iUYZTfhw2ed8+ct2ep3Xg5Ub1/M/q5TebduzO7+ErzZsIjXJz77CADlbcvljn9OJ13RQFkKaKM0XvrnRLNTmlIip7kYWKULDMCgpKWHlypW8/fbb5OXlccMNN3DhhRcCsbddwEnnaLtxksU0XWP06NHYts2cOU+x/2ABWS0z6de3C7pVTGD/fkrzCwjYFqn169KgXl0OHjxAvA7X/els+nRphU7QnxaAFjKU4uPjsSyr2ntq5/OiFYJ1ol7OKJGXl8c777zDtGnTSE1NZdq0aVx44YXhvzvr7WNFGCf1SCEImhqmZVGnTjKTJ/+NcXePZ8G8eQwfNoTznDBu6HjLVCihuLRHl3AkSRJcEK8LHYmGEAotpI5oLjJyMAwj7FNUW4HikJNcVFTEDz/8wFtvvcXOnTsZMmQI/fv3B8pGh1jKDXM4qUWhAKUJhBRIyyQzsznjxoxi0pQpNE1vwOWXDETXdJQSWAgCQmIIE2mZIBIQCAwVwCcEUggsDfTQOCGI/rxAZKGwqnS03c69EIIdO3awdOlSlixZQseOHRk3bhzp6elhpztWRoXDcVKLAoKjgBAaaAJlB+h6enduvWU4s2bNpFHDVPr0ORdLSmwRTB4U6CETSQuqSjNABR1qI5RlFp4EjHIZT2f73apugO5NJwsLC1m7di1vvPEGv/76K8OGDePcc88NHwexlTl8OE5qUTjmUzAsJJCagWXZXHzxxWzblsOsWc/QoEET2rdvj7BtDBHMuQRf2RughVOanKYnQ+ZTQkJCOPpTnT2jey7AbatXlTnnfFZOTg4ffvghy5Yto1OnTtx99900bNgwfFyspZgciZNaFJEIBCoUsRk2bCg7d+aRnZ3NlClTaNy48fG/T0S+VXXjFmBCQkKVN8bi4mJWr17NggUL2LFjB0OHDqVfv34A4YzWmkTNkG414pTE0TSNUaNGoZQKr9qD8vk6R8Id/Yn2Gu3KGqGcNHR3FT4pJdu3b+ett94iOzubtLQ0Zs+eTb9+/VBKRSUcXBl4I4ULx0l0etaUlBQmT57M6NGjefHFF7nlllswDAMp5VHLxjivj7ZP4VRiryzcC4AKCgr47rvvWLBgAfv372fYsGH07ds3fGysRpaOB2+kOAqmaZKRkcH48eNZvnx5uI7U8d5sZ412tIRRmROHbv9k+/btvPbaa8yYMYNGjRoxffp0+vbtW25+oibjjRRHwVnnfdpppzF48GBmzJhBw4YNOfvss8NRncNtjOI4un6/P+pbj/1Wn8L5Lk5kaeXKlbz77rvs3r2b2267jXPOOQcgPCLVFGf6aHiiOAruEaF///5s3ryZmTNnkp6eTrt27cL2deRe1ZGlZZxkOPeCmqrEXQwtcg/qE3kPx7eSUrJjxw6WLFnCv/71L7p3787kyZOpW7duuVnp2oInihNg+PDh7Ny5k2nTpnHffffRpEmTwza4w22UUp0mhfPZzjxFRd9DCEFBQQGrVq3inXfe4eDBg/z1r38Njw6Rn1dbqPljXTXhjAqjRo1C1/VwZfOjLdzx+Xw4m8s4VEcDcs6ntLT0hMXoFvG2bduYN28es2fPpkWLFkydOpVzzjkHy7KOshdEzccTxQkgpSQ1NTVcAt6pI3WkhudEqpz9n6F6RwylFH6//6hCdEKnTvhYCEF+fj7//e9/yc7O5uuvv2bEiBGMGjWKevXqlXO4a9sI4eCJ4jhxnE13CfiPPvqIDz744IjOZTQ3bHF+xsXFHfU83GKwbZutW7fy6quv8sQTT3DKKacwdepUfv/734dHBUcMkY/ahOdTVADLsujatSvDhg1jzpw5ZGRk0KtXr5hrHKZpHnWewhm1DMMgPz+fVatWsWDBAgoLCxk9ejRnnnkmEDTDams5/8PhieI4OVxE6aKLLgoXcJ4yZQodOnQoV9ncebgrf1dHHpTz/iUlJYfY/e7kPee4X375hcWLF/P5559zxhlnMGTIEJKTk8OvdXyjkwVPFCeAu2E4q9puvvlmduzYwRNPPMEDDzwQTo8Gyq1Jjnx9VeI2hyJDsu76SQcOHOCHH35g3rx5mKbJ2LFj6datW/i42mgaHQ+eT1FBnFwgp7J5QkICs2bNoqCgoFxZePeS1GjM9Eb6FI6T/MsvvzB//nxmzpxJ+/btmTZtGt26dcOyrKjs/R1LeKKoIO7iAMnJyYwZM4b169fzyiuvhCubOyke0ZrldfwJtxgLCwv57LPPmDZtGt9//z2jR49m5MiRpKSkhDNaT8bRwY1nPlWQyB1QW7Rowbhx47j//vtp2rQpAwcOBIIN0ul5q7uxOQmBTg3WnJwcli5dyuLFiznvvPMYOnQo8fHx4eOdES5yhv5kwxNFBYlsNFJKunfvHq5s3rhxYzIyMoiLiwuPHId7XVWilMIwDIqLi/n2229ZtGgRgUCAe++9l+7du4ePiTynk1kQ4Imi0nBygPr3709OTg7Tp0/n5ptvDju8UOa8Vpc5pZRi7969vPTSSyxfvpx+/fpx0003ER8fHyoVqtWqnKXKwhNFJRDZ0G+66Sa2bt3KjBkzKCkpOcTxrmqcAIBSiq+++gqlFBMmTKBr165AWYn+mp7iXVV4jnYl4W7wuq4zduxYGjZsyJYtW8r5H9UhCsfPadasGXfccQfZ2dl07dr1kEoaJ7uZdCSE8rqLSseJ4mzdupWpU6dy66230qFDh2orYOA49oFAgMTExHLPedGlY+OJogpwT5Bt374dwzBIT08vt86hKoms3+rGE8Sx8URRDURucOg1zNjG8ykqnfJ9jFsQ7uWrHrGLF32qIIpQ9qnScJVBAyFDe6MeuudcVfkUxxKaNzKdGJ4oKoQCRxQIghvZKRAKlEQJERJG6IhqifYcaRWcu3ahx/HgiaLCuPYmEmU9tRAa4E2I1WQ8UVQU5fTAwYL8UoGuaZSWmuTuyCFvZx6maZKcnEx6ejrp6enVHg4NCtTjRPGiTxUkeNkkoFDYSAlFhUW8//5i3n57Ifv37wMgKSmJZs2aMXr0aFq1agVUfm2ksnMJ4oSES0sD6LoeSvrzTKjjxetKKkxopBAACqUsFi5cyMQJf6N58+Y8+uijzJkzh7Fjx5KUlMTu3buB6ltTUVxczBtvvM7XX3+NJ4gTwxspKkjwqkkQNgLJtq1bueyyQbRp14mXXnwBn6+8ZVpaWoIQwZ1Kq2qkkMHdvgHBr7tyGXDxQC4aeAn3TZ5cqZ9X2/FGit+CEmHfYt0P37H1l61cOugafD4DKc3wA2zi4nz4fBpVsXGwUCAlWEKCFEHxacXU9esYvsRK/7zajudoVwQFQoJCIEKbtuzasQPLNGnZqhUS0LRDI1BVluKhRMjdVyGRgiYkQimU8vq9E8W7YhVFBOcl7FAjj4v3owlF0cEDrosqXD8FSgk8YzX28UTxG3B2SAVBi6yW1K2TxFf//Txk4zsz3RpKgWXZ4aWhHrGNZz5VmNBuRUKgkLTr2IHevXvw5hvz6N27B+3btUXXDQKBAD//vJnGjRvRtGkGhuFFgmIdTxQVQYQseKWhEEgUdVNTGHPXKMaMu5eJEyZwdp9zSKqTxP79B1i9ejXjxo0lMzOzOk+yGj+rduGZT78FEUroUBq21OnWsw8vvvgyl112GXl5uWzatAkhFEOHDqFb126hrYWrrrHqYSEopPJhKlDSPOprPA7FGykqhAChl/UoQkcYSQC0yGrFqFEjq/VslKbQFOhKA00ipcJW8dRpkE5yHX+1nkttwJu8qwVEpnnYtk1JSQnLly8nIyODTp26RO/kaiCeKGoBhxMFgGE4o4TC8zGOH08UtYBIUZS/peKwE4keR8bzKWoh5Z15b4Q4Ubzok4dHBN5IUWvw+rfKwhNFLcArTFC5eN2Lh0cEnig8PCLwROHhEYEnCg+PCDxReHhE4InCwyMCTxQeHhF4ovDwiMAThYdHBJ4oPDwi+P8qGOchoMmsTgAAAABJRU5ErkJggg==)
BC ≅
△ ABC ≅△ GHI
![](data:image/png;base64,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)
BC ≅
Maths-General