IM 7.8.14 Lesson: Sampling in a Fair Way

A survey was taken at a movie theater to estimate the average age of moviegoers.
[size=150]Here is a dot plot showing the ages of the first 20 people surveyed.[/size][br][br][img]data:image/png;base64,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[/img][br][br]What questions do you have about the data from survey?
What assumptions would you make based on these results?
Take turns with your partner reading each option aloud. For each situation, discuss:
[list][*]Would the different methods for selecting a sample lead to different conclusions about the population?[/*][*]What are the benefits of each method?[/*][*]What might each method overlook?[/*][*]Which of the methods listed would be the most likely to produce samples that are representative of the population being studied?[/*][*]Can you think of a better way to select a sample for this situation?[/*][/list]
[size=150]Lin is running in an election to be president of the seventh grade. She wants to predict her chances of winning. She has the following ideas for surveying a sample of the students who will be voting:[br][br][size=100]Ask everyone on her basketball team who they are voting for.[br][/size][/size]
Ask every third girl waiting in the lunch line who they are voting for.[br][br]
Ask the first 15 students to arrive at school one morning who they are voting for.
[size=150]A nutritionist wants to collect data on how much caffeine the average American drinks per day. She has the following ideas for how she could obtain a sample:[/size][br][br]Ask the first 20 adults who arrive at a grocery store after 10:00 a.m. about the average amount of caffeine they consume each day.
Every 30 minutes, ask the first adult who comes into a coffee shop about the average amount of caffeine they consume each day.
Your teacher will have some students draw straws from a bag. As each straw is taken out and measured, record its length (in inches) in the table.
Estimate the mean length of all the straws in the bag based on the mean of the first sample.
Estimate the mean length of all the straws in the bag based on the mean of the second sample.
Were your two estimates the same?
Did the mean length of all the straws in the bag change in between selecting the two samples? Explain your reasoning.
The actual mean length of all of the straws in the bag is about 2.37 inches. How do your estimates compare to this mean length?
If you repeated the same process again but you selected a larger sample (such as 10 or 20 straws, instead of just 5), would your estimate be more accurate? Explain your reasoning.
[size=150]There were a total of 35 straws in the bag. Suppose we put the straws in order from shortest to longest and then assigned each straw a number from 1 to 35. For each of these methods, decide whether it would be fair way to select a sample of 5 straws. Explain your reasoning.[/size]
Select the straws numbered 1 through 5.
Write the numbers 1 through 35 on pieces of paper that are all the same size. Put the papers into a bag. Without looking, select five papers from the bag. Use the straws with those numbers for your sample.
Using the same bag as the previous question, select one paper from the bag. Use the number on that paper to select the first straw for your sample. Then use the next 4 numbers in order to complete your sample. (For example, if you select number 17, then you also use straws 18, 19, 20, and 21 for your sample.)
Create a spinner with 35 sections that are all the same size, and number them 1 through 35. Spin the spinner 5 times and use the straws with those numbers for your sample.
[size=150]Computers accept inputs, follow instructions, and produce outputs, so they cannot produce truly random numbers. If you knew the input, you could predict the output by following the same instructions the computer is following. When truly random numbers are needed, scientists measure natural phenomena such as radioactive decay or temperature variations. Before such measurements were possible, statisticians used random number tables, like 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u46L4hFydXiJfEK6oRO9WWynaLhamL6KcHRg2kxcRFNOuXaS9/93d894IxJ2uOGPBCL3ektcXj7C5hqiul6faSMwKDQCdYx60+sPxatE0i9cQVecmEeFhXhz7JZk/CMzU99J3YuBGL8PQUyhZcxMGi0dYKK4pybCGQWnzlHc4vNJqz9KJ6QE0Is1rn7B7sokKkxGg9+5KXBlTDAGzX12hsTuiSE1atTYdTnti66MrCEHe2F/OIv/uIQQrbhb69uLJENcLCm8IsNasd/Ex4Za7ek3NqNIbBtDyQeyNWudrVhz0I4XjTD2HZNDJIYH3jJeHkTlIDIxlgiC77pm75piGA4hCNp3yqQdk7G4KXc2rAmrFeyUbLHJjQ2pkBqH3kWwTCHixUIAAESpBw3JZgAdArDKQqL0Ebv2OK1uewkiD0AJyYoGzFvcbmpo63ps5ff6la3GnCwMUTwmyRMQYuDDychlnq6qwcnZRSAhSam257maWmQNjXHgDkR9KIXvah+Gp4JoYSwxNvFqmviHqIPiw6NxPNtphGsBN3SxAviqpqnMUGP4QlydVjx25KNU4cBGBBOu1Vrfw6NwOdtOBJofniRST0Fsg0mIQSGMJjDFITDtjbpTy4mTSBT/I6jwgvd8RDPljdpodnAnyPw1iqQOTgTcvib4ub5TRk4GWOrQFK+Jme54lGGTk4cEdo8x7F1r59HPOIRA1/jbYrP6SJrlqIeOwiwFD+eTRQIT2cqOfYLl8giRowNY8LRPiFYaxMZwng1ZifEGIqMG8btWLLnRXbiYRGa8FlPgYzB6JWDa21QQg492TOSKJClHshqBdIixhoWjrLIMALiW4BCPjQny6K3GJzYEkbx497bOBVusHApAotjaaK4CL7P+7zPGxYWZcS6wQQWfI6rsei3hbMQV/zaJDp3vSYZN+sZDHtFvDUeFk+AAiAgE34gPFul4G9T0Acjs9owHgbEALytxPZ79O3hSzETNmhUDz3Uupgsrn8Nc9U6eabwcgILbonnzsUHHCFPyt6YHP2kwNLe33jAde5JKsqLl0ko4YGXvexlQXV2zhPWpzm70pWuNOwV8ZbxEM/IuX40xN9TFmQ6HFMgGWPqyXtl9Xue1TOXPG2WJOE911pOCGvXPRA4+CNCfE25UqqMHHzAK7LuxxSavzuwMYyvHellkZszQgx9544l9Ojl1QPp7YFUWlt3eB1ODssw0hiNjCK4MUKWpArbKazQiHy0J0d422sUEm2TtsJVDHFhYUojCU2tExGfKLXaV+qN5fiX/DBfdU/W+PG0ObT+56QokKlN9Ba3IyEsndHuNLeYGqvWoifIWWoUCQvOwLclgtXiZ1FZwNoRJkuSc+jCMxixxoMDQ0jGBHDX7E+MJQN3QgQDGVcbWhprl/JKOJPjjxltprNqCEt7GoQl2L4ZL4aJQgicmoMpVCAuz3PTRvir9lXr9555XjmxE+HXtifQMwc5ft3WAZvVIgSB1hQ+ASup26vfw0cZJUmJshYdcURrP642K8w4najCH1OhO0o5x3cZIgyGJXgEP4tXn37mqz1myfCIp+sY9JSlDeaYAkl/S3LjIZSFQ3mulJijsFUQbRtzPJBdFQi88QpBBB/H4PE2nrbGrF/hYmkKJ+PhdfB2/a2U9ctgm2ozh2YUCEMIvG0hrBYePiPLHMHW3rFs/Lgm4UvGsPVBeTskwtim+BmXbSiUvMB31qlDCFkP+B+d0ZYnzGtXNqakW1xFH4yDoiAHtc06Y8yTiQymHtzeXBzLHgjCYETCL3FrnREEhEsEHWu5KoMglLwOluDmhRhQb/O91m2f/dGihe/vT6Khax1eRY6bEk5jCbFpaVboNvd3DEbKjZGl5o/LCEmWDU/IZNov8tefcBY2qjTSvkcfZWLx2rBoMOhY3eCQnGVH2WtLWfcShhb6UYeH1EsMAn9UJBxGQFYrqVe/Lcu4eAzxGlk0PFZCyI9AERKDB6tWWY59tvAsbkedKSJ0fMMb3tBWmf0uhEVo+DGGeglP+M5qtuBqytiUec4prOPYRCcs4Id3zKOwCCEwliouqdNTIL16qd/mqdvmqSdkQxCZt9Y6HWuT8uyNWCfbIgTpr5eDVz0QCiR9tPXHytWjFMkhhnAMrrb9mnd/US5kzUBtj17zytCOkrEGsh7kFI42PD3GnT+T6Cm23pj8fQ645F/gyv1vFkKQZB157W/nwB3j68COBzJ1Cit10cjzEQ+E2wepehQ3BGWdiMsiPq03FpKqnWjL4mOJgDu20Zs+2lxoysK2lzKWcgrJwHuJ4sH4+udCRkD36m4ry9jkvDUKEfM4+RBvIxv/3Fr10mYKtvAT/DDTGF177Sko7rS2Y2E51qBwmnljjUsVJxYSoWhO0Tt/X5D+at2UjeVoQAnaZ2KI+Hn2EwplpcGVohKSElpoEyVkrwLOLM42NLcEH7DtdYGlX3PVSzm1o16s7F49ZfFAhPrmpIpvfdYW/wipWB/CLXOFbIXDsjY29N2Ft+ETuMkzPgcOrEOKoA2JtHXTRrl9UbiZ9zV7joEl16/+waseyFT/aZ86eAt/Gks2nFNnlxz8HHtniNUkHJl1kNx6wP8x/qx7ZfZ1t/FfYNv7NedZZ4ENbgx9cJUr27ZPHA+kGgmhW/ps8yMKxII2QbRmL7HkaVp1MMe2BAECKYQShliSCBJ9sUJ7iwt8J8XUGROgvCdxQgI0xzi3EaaHY9okV6c+e+cqi2c60tcba3VPa1unnuCnHYtvSRI6M37Cv5ds7oGLqeqGpv65vWLW+rbpGSul4lZhjpWnjs1Bi5unI27Oi5D7KYtHKcznm9h5EtjCR7wNcWWLI8est/UbGL0c3/A+0aj3x59gOzePBjzvqf/QUl0KhADigSzBq61LUKCDvx1giVbB3NbtjStl2QMhgNYokPTV5oEvt27Qz5zgmTalbVvuNKZ2BBmvfaxe2673zhCsCmQNLLyQfdMqKHv9LS3zP1sYq/8TryaeTvjfwZusB/zP4wxdyTp7fG0IrMKqz9Z11he4nq0xuT1GcHk2NtnJopY3WvrN8UBq/56PKJCEGGhNLmObWBEWN4FkAC0SbX3vFid3ShjL6a4lySa1vRfxQ0cKpdqnWDGmtgh7f2Gsbv77EAuMAjwRST+UgzCSsXIr5/alrfAboYS2PIIliSI3fmGGeEFpb9GFSTE4HEM/whrTmkuWj7jpWNIm7cbq1PK2bt5zjLn3tyXaw8ECxys9Ya9OYNX+tj2HBjapWaEVhucISH941uP7Cj8eSP1DwsBLXuv3ngkyHoxFzgBK2Gpu+wrTmooQmtpTqm3y3PbXvqtHscVIoYjbsGxgtTn+EmbB19Zey5tt/W3veDmHQX7kR35kW/Xud9599nKdLDuuJOyU/+LGHlab0LXSNs82882dEH3K2rZj76mfvNbz917golc1Wmud9jkKZNtBm9ruiAIRvycAWeysP4wtdIXhCWubvAQON9B7kJdjED9WKKbLf0Ng881gbORmAzPtKjK9Z4tZOI11CA4FBhfwxf/FEX0b+wMeWjfxW0pxlxScwbThjGksJjh6Fsv238AIg4wJPx4AK187dAXLRhoGstD8tyPbBFg7BhYLwYcOYp0saDAIEwzKfRUiEf+tiaLKkWT9Wlz+dqP91Q3d2n7Nc/Z6WNxtwuiJmfNYGQzBpeJmk3fuokgfQkWsMaEUG5nmAA9RJv7Wwrz51jvlpS98a+78AWuOadsD8+6H78Mf6TN5r9z+YsJ5LGHjZCzV3HOs/RaGOQ8+xmN9WbP2suDjG/7alipc+17CHPrUFo/iJSEysK17f3/VJjD0R1aEr7MeRA7wpbAOhVL7a+H03s1RaKwPp4qM1d+kZJxRvrW9MnxrfjPPZIcTYdpbE0v3+SgwpxJ5jtZtlYusfnsrDqD0lNvYuBm98Mn/hTVWr45t2zMYUUxjkRswzAcahb45SMLYStm203NHFIhjnNnZN1nihEIKiMLiEr5i8fc2I1mzrH0hDBtJXDWCiUIiqHqE3UYM3y0scX5Wtj/EAQd8YTZhGZvYY2ewLVTWrEla23+LI4uPUvMHaE6GwYXiJYTg439pzXns2taEObFhs8ypCXTlebBAMR/rbunxwsC3t2GTjuD1f3vZzEd/VhHlYV70X1PCC2jjD8WcFBGPrz8b4jbmdk1ZGJiTomz/KxPwCZ9s9vM4g0eLl79RWWNpM37MD2/LMxrhVWFbSp+HRjC0iUHEYxKycnqM8YRm5su7cpb2EsVvYxMMP4ZVxoreno3Zcw3xVbz85XPwSdgZzShg69S3JXtpYPuvd4QxHXzA1/pgjeIr/Ok/SRUObhNBSrHYvNUOX1sbeI9AdYpr6eGZ9MGLNxY/h3hyRJ6wC+17oWJKFa/xMqxPhgHPwDjsCVivSxNlJDwlVMxjFW0gUxwTFjmwr0feUZ5zU04I4qUl/FPhZ23VsigQMpzB3UvwtA7RFs/EmPS/jYSHrP1WblRYhxRIECGwCUidcz1Zbk6nRMiYDNq4TYRUNnDUZ7VYbCbb5vkUIi2s9h2hCQ6hIbDhRdjYXO/dBZL2mJkbZ4J2jcGCiUYWtWN3FGlwIZQoOYKhMlBomrbcRAxMkKGrZ3S24d4LwWUcc3J/20DwwAXt0YhwevzjH9+Nq/JI0Gbbb4lLuw1PHpL+eguYILJHMoaP+LdvBOvcOHHFx0KiOMBAm/zMJeHJwu0l8+k4+Rheyu1lUIBzk7j0FLx8GztZx2tRB1+nbpvnwMRcnAhk4cPwdXgbfwrbjf335wSfCABetocUvkZXSnmtUQRvsqiOqzfe3n+rz0OxDowBPn4UoQM39gt4JUsT/vG3bWQa3rHGrGP0wptCkiITS5KohfFR3GvlY5Ux6dsRY3AZF2OKiddMZlX6ts/+UHIKr0MKJJ3LaVunX2ha1pVQkT+UmYrPi1/7y1N1tRHGYeUmbFXhr3k2YAoBfJ4RK2Ns0Qc+F82mNEYcI2Tqzs0JL8Ke5QMPlhdLtmedBWYm2Wkf7i4vhDDjtVnosXxTL+3m5mnHTXckFXxzZ/GOMYA+0WbqhxHbv6afi1PqBTfv5kt/XOQ2wRMPsVb128NLudDO2JhamPU9eIBvDtAfj5pLyktKndqOsaTPHk4pWxpWsyZ642vLcqih4uOZZZ6+2zahX3iqbTv2bm6ErUUXrDHGEEHM0Jjy+IT40BAvoyneI6TtffY88bH+e+W8v3Z89R0N8HyblPEOWNBkEYOFoYluvTlu2/fetWOEkmnGapx+5IC/fF8jX9DVePDPWrx6uKI7uGTSWLiXEhU+Dz0rP+V5G15HFMjYIMbKW+R79Xplbbux917blCUfa3siytNn8hPRx64wTyRuu8Je2r6t376vodUuMHZpuwbXtk36Tz72vS2f896D2SvbBqtt075vaz/3O7hLYC+pOxeHWm8t/LXt9F3b1ueKV31OneQtjN57bd8+H1EgbYUl7xWpJe221d0F7ljbsfIpXJa2mVt/br05uE3Bmvo2BTvf1raf2+646wXv5HPhp37Nl7ZN/eRg5Tl5hT/2rG7qJx+ru0v5iYS9C15z254M/Lf1se17byxr2pxIOD3YbVnF+UCB1MK2gfdt39Nmbr3UX5qDnz7afBuspfV78AIj3/Le5vk+lqufX1snsNrybe9pl3xb/VP1fQ1+a9oc1/javr2nLHn6at9Tnjzf5XnOt13ywKp5nufCrfXr85L2tV2ek8+F09bTPjDqs3op77UZ+z7WpoXxmfDe0qJ9H6NhaHOgQMYqBmDyNJyTT7WZ+jYH9to6u/Q7t21br31fi/ucdiezrzn4LKlzonE/0fB7Y9XnLv322vbK9D1W3sNrbdnJ6KPFbVuf27638Na+T/XTfmvfx/qcW2+s/akuP6RAtiGTwSbv1a/f6nOtO1Ze64w9r2nbtmnfx/pSvqTuFJw139b2vbZdD0ewjhNer49e2VifY+U9GLuU9fpJWZsv6Sdtl7SpddO+zWudpc+BtbRd6qd98pQnX1qedr28B6tX1murbEndMfF8wkwAACAASURBVBj78v9PgUUK5P832+3pZE3iyeqnpcZx9XtccFr8Tg/vZ+SxnWzcT0Z/vT56ZXN5Z6rt1Le58KfqnWj4+j6RfSyBvaRupdnSdmP1T4kCqQPZP+8psKfAngJ7CpwxKbBXIGfMedtjvafAngJ7CpxyCuwVyCmfgj0CewrsKbCnwBmTAnsFcsactz3WewrsKbCnwCmnwF6BnPIp2COwp8CeAnsKnDEpsFcgZ8x522O9p8CeAnsKnHIK7BXIKZ+CPQJ7CuwpsKfAGZMCewVyxpy3PdZ7CuwpsKfAKafAXoGc8ik4/SHgj4bG/nAo2G77nnq75Cejj13wO723PT3S7/SI09J5/HQYw9Ixj9U/UCAhSvI08P/xux7SNZee2++pl9z33s/3bW0DYyqHgwt+/HKHw1T9sW/Bcez7knJ4uHvB3Q3+f/+leOWK3iV9pm4dR6VvnvM9dwKkPO2TuwwJTc21sfQu3Enb5Gk7lqfv5OrleQqGb2ji3hU0hZf340ju9jBH4IanW7jBLXm+e2/L5nyrdfI8luOdqbGm/+DS5uCmzlgfU+W1bXgCrczFGF8Hh9p34OC7fE/ZVP9T39DFnOFR9xXNgZe+g1ve57RtcWnbBB84LblMrAe3hd3WWfKO5uiTNT/VVh0yNXS1NpbctXOgQNpOXEjishEXJbkwyTWXLipyWbsF3UsYzT3WvZ+rZV2mtJbQBlbxcWWmG/jca9y7HbHi106ONnB0edGaFHgID4aLtlxM5DIdF/C4Re6DH/zg6AUzGM/lWO7idsub621d4LI2Wdhoi8bGlbydB+XuzK7JxUZwdRWpMbhEyDW7Ls1Rt2WmjL3CyHP9hjYus2pxqPgRBG3C+Gjy6le/eqClC3vcYuhyIHiuuYlQH/Bxn/Xb3/724bIjPO2yIXBdqIPfK/4tXu07eC4RMh6Lb20yd9YNWsPDhWkucptK+N1NdnXOWzrvcombOXAdrittXcRkDvA13PBpu97QAm/lF1x6fOhCp6XJeoEPnnDRlXlzcd0v//IvD7Sr8DKH+CR4JA8+ycmUNSn4uGUVLvjT+nF5U8/wmurDDYbwQ9c5Ar8Hy5jNmcvz8LiLvNDnE5/4xFDd99Al7c2hS7fQQl1jMM8vfelLh/Zz+eeIAgkyrq291rWuNdyx7c5x19m6D92Vkpipd9OYu8Jda+nnmseae3YdrQvplyYTTXld+9rXHq6mdKWk+3vd9e3KRhPQCrqxPhD1a7/2awfc7na3u41V21oOJzciusrTtZnoAy/XaLrmEq4mVKqTZ6ItBFeS3uEOdxjauKfZDXlrEyY0R2jsqs3kubI1uXJ3sgcnTOQaYtdxup7T/IDjWlJ3PN/lLncZBFXFfy6OlCOa6Lvygue8u/2uTZSHa1Xh4MpiNHVN8vnOd77hel68h4bSErze/e53D9cfowF4xil3jzg+t3B6PN3i5x2v/fiP//gBzcFek8ChqBkeroy96lWvOuBzv/vdbxIcA85VpJlrY8ovtHUX+JrE+2Q0upfdHKCTq2DB9e7K5FbxM+zSb/AIzyVPee8q4yk8CeRc1WxdwQdfXehCF9pc6UpXGoReT4EzdM1vj//gAl8GydJEWVKkN77xjQd64E/4kEW3uMUtNu94xztGDUd9hWfl8L73ve89zJ2rnOfKsBZnStmtiO6lv9nNbjbAO9e5zjVplLoRlPyDu7UfupLxZJi70uco+yMKBHKIYIII6e/6ru8aFguiuXwdoc5znvMM94K3A2F5n+lMZxrq3OQmNxnuH5bnh8DbrqBtYSIqgXvBC15wGCzLkRXJanePMMFCWM+5TpbgedzjHjfgCM+b3/zmbXez3gneV77ylcM4MenDHvawgckJA9eBupD+Nre5TXcC4ImBMR7BBX+4EGBrk4m+/vWvv/mSL/mSgx9FX9/Pe97zDv086lGPOujGYrjBDW4w0ME8v+lNbxqu/URjdyOf+cxnHhZKFOFBw5GHLA6fWYxnO9vZNvq12MIDyd1N3bsrm0XknvsnPvGJGxbeT/7kT24YM5S+RUHgL73rGz4sRYrS3eeEK7gsL0oSzPOf//yDJzkytEPFrvkMfcwdZVJTpUMtb59Zyde5znUGxR1jDbz73//+bdUDweMDj4XRco5znGO4Hz40laOrnNBdmgjrl7zkJZsLXOACw1p79KMfPfAEWuFPd37f7na323zyk588BBo9Kq+F92pu7oyNB7Ek8fKsF0KO8fPmN7954NHHPvaxQxkeM49t4p3pz1hCn9AmOR5dkszru971rqFfCuhJT3rSIIvIvbvf/e5DXwQxnKcSOGjN0z/rWc864Imf1lyJCxZZiD4MEIbFWc5ylgGua7zHEuVJATNcnvOc5wyGjHFQQu6PRztyLGHLMZ7uKpA73vGOA4BqFQPAxbrvfe87CBZ5mwggHd/5zncerBSWCmZP7nmpm8aVImwpLaGiOpBPfepTg6DWp0UX17rWCY76tagwFKtEm1vd6lb5PJr3YFECtDTBQ7j1Ek8nxK/fKVACmpLmOZhwuOyiQDAj11U4LXl9FhJhzfMqeIlJ8KOMhdPaxDtgjVAirJulSf8WB6FN4Jj7+sMT8G4ToWpe24SeYKHVIx7xiPbz1nchH4umnU94UPbgUnTbQqzqs9wonIte9KJDu1aBQKbtp4cgBS4Uyzhz17bFDI+eAqnt0ZE3cJGLXGTz0Y9+9Mgag6Mwy9IkhMbKZ6wRSr1kPbbzpq/Kb3gwfCingCg8Qq5nNPT6SdmDHvSggQef8IQnHKEpIwO9vvIrvzLVD3LhLbzLYwrfoUt9jrw4aLTlAW8yuM5+9rNvnve85x2qzXulRPT5NV/zNaP0D1+4Q56gJosoQQoEPvl+CPiWF8pS+FkkhgfPaLP2phQID+SnfuqnhtBuwKdvoSxKCI+b15pSR5nnIwqExX+1q11tmBgItYmgM2n3uc992k+DteLbaaedNgBvOzvSYEaBMJFJYeH0BDJBzBIjHMX0xhJCGBePIQTiNi5NxsQyC+O2bmcdcwu7/eadBQrWLgqk7ae+W+z2NTAp66LFN3Vb3ChciwXte3Oddr0cLPTGhCxr74Ffn3ttlaVu+x1fodU2Adu2a99b+KxucCnM1rqubfEfgU+AEBY8YO3e+ta3HlQL7OQHH7Y8qA9mHd8YjCgQSkQ4a6zeli4PfTbfD3jAA4b+v+EbvuHQnB2qOPIyhgOFLBxyznOec7DYR5qPFotaoAkl2yYev2+8ojZRVL7xZpPGcMz3bTmhTzCTIb19YAYKo1JIWgitTelfGJ+xwgB5+tOfPrRZ64G0fYA9R4G07eq7/TjjsPa3ebJHFAhGuvWtbz0Qn6CktTNwlsa3fMu3DASyadSmeCAWwlgKrORj9VLObcUIvJpeMpHxKIS6esmCY93RqC984QsHSxTMpQoEziwNMXrta5yZYEa7JUl94TewjlOBVNqySDAqQT43fKi9n8UHt8TkK9xt46wKJEprSfsWPuH9VV/1VcMCftGLXtR+3umdtW2cwrNjCgTuP/MzPzNY6EIzjJV73eteQ7u3vOUtO/WfxnMVpDVJeUSBpP0uOZgEIzpUYY1Hzd/auWPlWncEpj6Wpnve854DTvLqKQv3PP7xjx+UOaXepiiQhKnX4l/h2n9DH15NLzHW8IY6Qqa9ZO9UKJCS4VXhI8o1HkivzZIywn+pAmlp8/GPf3zYwmh5oYfHEQWikvi+PRAWGUIYJEFNQXBxbf7abGtTFIh4tfAMN2ntSYfARmyaEMxe4vZd5SpXGSbNhnCbCB4nyFiNFqh3QhVxlioQsLmFJpxF7+QEuvzWb/3WcJrB6QfPvU29Fi/vJ0qBpC9z5JABa4IntyRhIrFntH/BC16wpOlQlwJBI3FZYRbw0GqJksXYFiUDgKcZRbj0IEa7QOpgCEdhEvxgH2ks9IOfbSzj/3gc8RjaENZUf7Xv9nmOAgE7HogQlji+PTDCeWlIpvZvTbCu7VU4AAEeXmd142v9zOXrwBWKdMiELLF3sCYJuaI5gUthwA0fCbEKI9vf6O3RRYHc6EY3GuQX48l6WDs3cBd6xif4oMKpzzG6zKVUv5kfBxTQWNgNPlWBtKHBNfRao0Daft72trcN8pIi2nY6dFAgdZCAWUTizCwH4aFv/MZvHFx3pzFuf/vbD0dn2069UyDCFgQPAtqEYS1y58QPk9r+Ut7LM2lCWL3TNxYTRjKx3/zN33wIhH5YQBaaUBHiSmGuNQqEtakvytVmmeNvrJwrX/nKw2Yo5uKWzhFyJ1KBgG3vglAQktjGnHVOKFljoDyczKIAkmq9lPVyCoSitefE+7N5zVJ873vfO2rlBw6h/qEPfWioSzgLOfKg0JlAm4tD4MnH2jhBhF/tsYkj9xLeFd4hxBw2CCz8hhdaBdKDMadsjgIBB8+Ln6OveLv9SPNFqFLUa1K8MHsVQjEMR8KfcWbd23h2ggr8jH+qH8LS2sBDQo7xQqfa9L5pZ/4pIbKF/DFP9sOcOOqFisCxxtW39u1ZPfCBDxz2LZQv9YSM18+hDjB5auagTfa0ElHoyRb7cPYibbTbb5L8SYF5NB40m0Pbtt/6vqsCMS4OAr62F75tT/DAA6mIeyYAMA/r1QABZAGyBCPIK+KenY653vWut7nuda87uGSIZdEhjtARy2FpYhkR1uBYqFUQ0uA2+oOfEzU10e7i+BYbvJNyQqOd5EqD1G1zJz7QQriDYEYjCtapkHvc4x6DwMVkwhvbxnsiFQjGdPhAmGNskWVsddyUh9iydoSJ0Fr9Xp/TvpejvbAFq95BAUKIQeJkH9eddzqWhAnNDe/FxisjRmjA/LOC5+LQwm/b8SosEhYhD7cnWCxqilgdwrrO6ZgH0vY7932uAoGDcF5oa57xozlzUtLcL01O4uBrc07h2y+Ez2Me85hhb4aRxhjhrVVjsPZT6ctyFVo23w4I7JIYYzwJFjFFTyl5pvTIgF5iGFj75BHewX9kGVo5CVbDYb32vTLjQGOeNZ6o3iqetV+gD3SkcGvSH6+DIqSIQisCn/w6rj2QXRSItUVZGx+ZTfZuSwcKpFZ0yggTWbw2UGl9hMNALHkhLgRrE8XCWiU8WJD2JGh/RDPhhH21RELEFk59pzDE4DEOxSR8gDk+8IEPDBaFMqdGTFr1QDCWdo7Jss5qckJD/TUKhCLEwGjB6+Bi5/gdYeOkGHwoEYzSpjrmE6VAWEIsZnjWY7stLvUdXtqhr0XGKrfQjCmp4p6ysZzlgpkJaaEQnhsrkDKHFw93zLpRLuxIKfNcnJIiAAgCVnDvlNYYHr1y48Cn+AV/CPPhWamO0bNFRHhSZsKTNUXgJ6TVtq915zwH3rZDAtZQaMvQw4P2K53px9fW3JiQH8ODx6Et4YHO9nuyVvG30AsDQCh4256PvuEAVrv2av+V1rW8PlMeZBDFhj6MRIrJ+qPkrMee4g//mVfKzL4Oo044DF5PecpTDtZt7W/q2XoVRrO+HYH1h5ZkEQONQrE3wuNBR5v/SWSldhSFI/+hq+9CcsrRPGttDl0Cu83HFMg2mNaUCIGIAV53cm5OOlAg6YB143RJYo4mwhFKwsSEsQYRySY6go6lwIsgJzRYI1OW5xgs8UvWnvaYx0RRZLQkyyluYz3eaYPbxCCG02Tccj+KzR8lmmQWijLx3TqpY3gojweivdM7vXSnO91pgM9KDB169U6EAtGfeDNLiODDUHMS5W9BoDHP0cLs0STjST4HduoQRMIaeAh+vfPyPbg2th2Xpny0xeg93NJPmwem3M/RUnNEEBBKhFTq1LYsshwooczwDn4hMDw7/YMP4OO9F4uv8LY9z1UgLZzgbk0S8oSrcPKSJCxkLAyf3gEZ9KbIrWOe91iCi/02Hhvv3LHf4DfWZqycQcMINOcMCYqJPBEWt/71gY/waoTvGCzlZFk23nlsU387NgYHT8DFGmFU84x4goxJfxAafmGAJ/HozYv1aG3iFTwkjMX4MD4GkvVAIdUoS2DMzccUyFR7c+RINByNhfGQlLmT5znf5AcKJIUmHyOJ5bdehj/yUu47guXESg9w4MkJaB6Idv7uQNrWprb3bOIoBdaZxU+TGygmQ3ywWQFJ4resJQrH/gkX0S/urPoIpsykY8zglBys+uxdGMUiAjsWaVvHGfHQaIoZjluBwAOduM8Egb92n5O44v5LDwuC98GL6qWMM3mvzrYydM58Vet0DGYtz7l/lnYNJW3rs343ZwklCPe01mvtz34Na9UCZzzhHb/wkdCqeSYYlDmlU1OFVcvHnpcoELArfM/4SdgQTkuPXmcPhKc/ZnQQkGDz+seMR0pUyBLdentKFWd0aN8rbWzeoz1rP7Im36PA8TnDou7TpU6b64uw5IUYhz/6XZPIHMYWj9rpULmNZ0o28lGYNonCJS8Y3oxdvBIest4ofHRnEN/whjdcvY+lv6UKBF0ZRxwGXlP2ZoL7VI6eBwokE5mNQbHPXiK0dWYCpv7PnsADI5t+BG8V8j3428rArUKZchKGgFNi/ZibcKAYEMXJiPxsxLKM4O9vR5Sb4LmnxVgILB+TLozWS4Qx+Lwfewo1VboctwLRD68Iblz+ObFwXgFrlfIgCFlLU6niP1Vv6hsPEn0svDkpfdpAx0M8S/O+NFlcwrEW60Mf+tCtc87bwEN++AavJPec0Clh4L33F9FLcNymQEKHCrMtCwzewpJkc5mQ8xujLUvfvFEgPQ8QPzMK1HH4Yk20oeLMWwDLHqPUjlVoNEq89ZrauoFLdjAGwJ1rYKVtL6/r23itI0qv7rkyfMyHkDk+yQ8v5Q+JGbMOBfBqRXzWpp4CaWmRdx4d3MgLBrf/UWBpOlAgacg6Q9waDso3uViZzXR15pw+gSxBhkDa2BfJACrcqeex+srFysF1nK9uarF04Up51R+Lk+WhjQnzjdU+ZlG1eFE0YcAxCyaL6La3ve2RsdaxHLcCMRbCzNjmWqCULo+AEq5/11LHHZyT129Ln1lvvFc4itsvSWLvUSCEx5JkseR/UXDKxJyPjSflhE3lnfZZGMU47HXhK2PbJUX4b9sDGeuDUCek4MRLX5KMLXsorOteyn8DVMMztZ4TWhSH/scM0Fp/2zMeBouBlzmpbYSkWPDqzP3bIDJBVEIbsuM4UnCzN8wjYqBWz5bMGJNFQlhwIVMoDu2inAN3CY49BdJrrw+hfMaUcJwTYmvSgQKBrF/OxHOlWgtCnNGxWJ2KPbZnhFmzVRCDZ1HZp7DwbdCw4JcmjBKipq134QjCiHIa+yPC1K85a8WkzfmvTGq7PLNcaG1Kq7UWMAoLgwvfhjTSHu5+6Ol4Klycdkp5pWHazMn9XzbozAJKHLNlwvouRJn/tkbYS1iIoK0/ihj9lya8YDw1EchCmPgHjvBtE5za0Kk6BJw/YkUrQqMu0BZG7x1/8Fz0jYfrGC1w7/JKnx6cWpZwhfBF0lT73jdzHV6IAhH3Dy+0NNRP6qfPlAnrsIDxwNL/tBAMYWH0tXfXhoycIrJnaN54Wr2xEOLaM0YSDag4bntuYToRlPm2GV6/o4HxCguZ1/B7+rC21Klt8LG1bwxC6r3/zDPtx3IeR7vfog/44Qf8ZU9Mqn2PwbMtYIzC7L25HmtXy/WjrZ9QnrGRT2Qt/vJrcXGiLMpeCKuuhzxb++1Ya7+eDxSIF50gqvAHBPwdh0lyUoB7Y+Gx2oVwuJXVfdNeSMeGtc0pXgdXWDhHaARhCYC0aQfUIlbfCR0M4sQJuAYPT4xOkfkfLav3Udv2njGRRdaewurV7ZVhFpY+GiE+a5jmN16nOzCoxdYqYLAIR2NBSxtq2Q9Aa+X+Z1c0X5rQk6WGGcWMMUFNPXo7zgxXbXieQhSUnj2c+lvznxeaozpnNq6Fx9BFmAQfUbY1wRFNKFMbinjOfIvL+u9YCCbGgv/EbkmysCLsCRzCtY4vYxb+m1KWLQ2NBR/N8cR7+FqcBIg5RyshDXOBr8ML5qgVLPYZnLxiQKEPOgknm0MWMN6csyfQ4mSO/C8LBDIagw8OvvY/QjCKzFurXMAxlng/QlxZ520f294rjRmorGM0cURemI0swlvCmY5V4yWGIGEnpb01iSbGhEZkh2O29hmMjxfaM1TG8AtcMPFoaA8fc0geCqPDiXc7N1lbxmfOGF3pZ2579Xh+eIhM5FUkxG4dKfPNaciasp+FX4Rz/bFwXRN5Jtem0iEFoiJt5aQMK89iNTBWqjiwybRh5R3h2sSCodXsOzjJxap12sH/XOn4XTuItv3Yu/788Q54zutbYPpxYsjRvLknPTI5LF9HizHR2kQY2lDlVTlrLmTAIwHXSQYMLqXP9EO55r9OFjIQw9WG5ejduCjatl3aj+VOUbFiwJsbviL49J1fcJHn2TfKbWlipToKLLaKF/CEd8YJQTl2xpyiwHfCAASDubfxyKpiiJhv3siSlLh3xtnLjRefLvFseJra9faN5swfj8cpnsy7tQI3e3P4QLk+6t9dgUvoWIeUovUgvq6uzWG8N/cIZo+G1gbaM8zghq/tWcHJBn3v5Bw45gTO8BeanDP+tv9eG3umogzoLLeHZZ+A4WW8+MpeVduWDCMzKDz8J0czf5pAfiwNgQZX4UV8jPaUBRlC6Sqzob5UcVM+aCbiQ4GsSQxitCefycTwN37GF37tiVF7xHWNp02bV++6h9sRBaISJYIJ/S0BoS3WS0iaCOEoFlA7Yd6d5BD3V1cbRHb8FhMsXfQVWbF558oxMLiI/U3f9E3D36PUxaVNi1eFk2cWrf/gbe2Gvj78/D2JiYAXq4uwFPudYk5eib/N8B8b0vye4eJHAfuN7a0E/17OAhNaA4d306YeXViW9rrSv7zik/I5R0Jb+DxRf19BoJkz1roFZmHHkGjbwNnJG2FU1rS2lAc+criDddV6Vu04e+8seMfQx8aXcbK6W37qwUsZj01bVu6axGv2l+34wLxX/MILLMXWmudxWIvokrVJ0fJ+Wdq7JsaPAw4UB76m8Hkg+u0l88iIw/v4h9d0nAlPoBFlCh9jNl7/S0V4qe1P1IKiCA9Rhjx0lvXc/xOuhemdF0OmkYtwAd+eEAG9xPMIbBY+mjmxRu6uSTwz/EKmyLOm5ZEzPFopa86a1m/qZg20OU9rKnUVSBoYkDCDc/IE37YwETfWAjdBf/qnfzq0Zf0dRwIHLuCKx0ZbhyDH0ccaGGjEpYdXrFc4bcMr39t8DQ7H3SY47QIXXVjYjA38Q8DgH7Bb+O27fvGRNgSEfSZCtFdvFxzXtK04eK7v4LXvS/uY014de4vogj7WJlofR//mDfzK19X4820Kx6lv22gx1jbl1ldk0TZFD38hKrQJ/02FJ7fhVmlL9qCJNY+/AxeewXUOvNRJmzbP9235WLuUp/2299Rbkh9RIDrZ1lH7fUmHu9RNv8l3gXUi2wa/5Ceyr5MJe+141rY7mWM7EX3NHffcenBcUvdEjKkH80Ti1IPdK2vxmlOnbTPn/fQIt8Wpfa/jar+177XunOcjCmSq0VRn7bf2vYW77XtbP++1XX3Od/lYea1zenk+o+B6esBzFxx2aRte6cHolaX+icrTZ3L91OcT1e8ZAe4cOsypMzXWtE9e69ay+lzrfDo9H1IgnwkDPr1P3omegxZ++356p8/pEb9TSUN9n4r+2z7re31eO1/HAWNt30vaHTeexw1vyVjW1D2kQNYA2LfZU2BPgT0F9hT4zKTAXoF8Zs77ftR7CuwpsKfAzhTYK5CdSbgHsKfAngJ7CnxmUmCvQD4z530/6j0F9hTYU2BnCuwVyM4k3APYU2BPgT0FPjMpsFcgn5nzvh/1ngJ7CuwpsDMF9gpkZxLuAewpsKfAngKfmRTYK5DPzHnfj3pPgT0F9hTYmQKjCuSM9gctKLErzru2Pw4cdp7RlQCOY+xLu961zyXtl9SdO465MOfWm9vvyap3ovE+0fC30elE9n8iYW8b19T34JV8qu6cb4MCCbDkcxqeijqnZ/xa3Nr3Sq+xb2Plte3Jfh7Daax8Cr81babg7fot+LT5XLhpN7f+LvXm9NXWad936X9u2/SZfG67M2q9ueMcq9cr75XNoc9Uu6lvLewldUc9EECXAKr10y55i+CJeh/rb6x8FzymYPo29X2Xfntta1/1udYdK6918jxVd+pb2h9X3uurV7amP3COC5b+18IKHru2X0ODHt5z8JhTZwqfXdtX2McJq8Kd8zzWd8rled4Gb269bXCmvtc+8pw87fKePOVjeVeBtI29t2VjAOeUHwesMRgpTz6Fj//yuU1z2rVttr23ML23ZRXG1Ldab9vzGjhr2mzDo/1e+/Bc32vdlLd5rbPkuQcnZeDU513hLmk/VXdXnKZg59u2Pnrf27K8Jw9sea+sfp961nZN+zVtpvDIt8BNnv/+Pt/l+dYr632r9dY8B2abz4XVtsv7VPvUOVAgKUgj7+7fcPvZK17xis2LX/zi4S5kt9i5Aay9G0R9l4+41tYF7fm17+5KdiXlmuQ+AFc0uu3OBS4usHKj17arKf3//a6JdXNXxuHCrF0ulgm93AXgSkmXurz5zW8evZAo9fWJBqFPm7uMKnXn0ggTuyHSVZuuEHZR1ste9rLN6173umE+cl9BC08/5jHXzaKre61f+cpXDlequvNAnaX4tP3Ud3ga/5/92Z/V4oNnlz+hJ7571ateNcyzC8XQ1tWkuyZjcZ9Mrv/EDy6qeutb37pxhWp7eZP+0CHz1PKzcrzV3nuzjWbmzFxrD2Z+6Sc5WqFZhefeHfddp23q1ndjXJr04ed+G7yE7vjI5UNjl0nVPrR1PwkZ4VI0fPiGN7xhkAvttby13ZJnfeBZdCGH6nz51ia0cnGai6DgAy9yw6VZYzzYwqjv1hI55xZK9CGHrDn8mvuAav36bJ1NrX33luySyDn3MIzTmgAAIABJREFUk+Al492Gj8usrAPrDF38yEgX5Y3J1JbGBwqkRRwzut3KzVtXvepVh5+rG12b6lpJhKjJAnJTl1vAXDkpz7N3N8z5KXML1tKEgd2g5WYxV1u6dhM+bilzqxuh00sIQUjAwTjSzq1m973vfUevng2sSrD6bKEgtlvgXEHrPuhrXetawwSmbS/HxGgQWoRWydFw6WJzmZAbG9Hmale72jBO96Kjj36e9axnbf7+7//+CDqEmPvA3RTo5j9t0cf1mG5ZNE9rb9s70tlmM1zsc9pppw04oUOb0Jcivuc97zlcD+z+anPmCuBrXvOam7ve9a6DcCIU1iaLw42HbtsLX+Mnc+d60t4NbG54DD/3cu3qpUtzcCOI3KMNXuY+edvHYx/72EMgXbbldr22Xn0nuNckiskVxm79xA/hJ7fuUQx4ppfMHTq5KdRc4SN0RWNXv1LSrdHZgzOn7NWvfvVAM3JobN2D45ZOQt7tjXjJWIKT66cf97jHzenuoA4B7eZA1/ziF2MDz5Wx5KQbGccULbqha9Z9nas8P/OZzzzoa8mDS7MYi0972tM29773vYdbYY13au2S1+qSGcaBNmSGq8xdJe0mzBghVe61eHUVCCYyqAte8ILDoiKgXWX75Cc/ebhv29WtuSIxAFkCrr7EOPkhbp4h6N5vF8gj9hRSgZkcI9zjHvcY7srO1Z3f//3fP0wIIQlP17n2BC+r2t3IFB+BaBxPfOITh3ukz3GOcwwKiNZemlxYn8UlNy73SG/zatwXrS6mI8RcS1pzi22pgOQpYgTK5/GPf/wGbSg2i95d4ujOSmqTBW0uKIv73e9+w7WvmNh1poT2ec5zng2BX4Xjknmr/blBD/3PetazDuNnnPSSa0oxMkH0hCc8YViw5paC1pZwyn3zvfZjZfBmFFkc+IVQQaPwg7vWCRUKpk14yJy5zz1zZd7y047VviShPbpnfbS5RX3Ri1506NfYpdDefPh29rOffbhSNTglhxchuzS5YY8xgT4U1DOe8YzhCmJ85f5sa+jd7373EbDwongpHXgxqPCRa4RdReyebfd1u2Z218Tbu8Y1rjHQ5WxnO9uowKag9e+OcLRkNBD+xoQP3SVPpixJjFFjNN+u+wbfOL/1W791MLqsNcZPz1hDI0oHH+HhOlfhI/I1c5x8Dn4Ue4wttLFOznKWswwe9Vh7NzpaC4wYipTMoDSsuwtc4AKbC1/4wsP1v7V9D6cjCgSRCI0zn/nMAzD3h5sMGhTT03YWsLwmwvud73znoAlf//rXb/xYQXmmIRHQwCikHjIVXn3+2Z/92UGYuYO44mMhcbvOec5zDozS3knMUtPn+c53vs1rXvOawSIxDsLs/e9//7B44fOWt7yldjfrmYvI4mBZuRsbvSyybQqENYmJWCPcR4pYnh8LfMzKG0PMvLD+eEXGpj2F/ru/+7uDNaI/lk+Fi/7qUIToy9qguMyjZ3SlEM91rnMNIYyxvueWU2Cf8zmfcyAUeZNJlRcIKHMlXJWxYHZ04TUaC09kqZK1qFmO5pvlReBVvk7YzDWxbRLC1S/lnnmqufBFDaW07Xvv8CdQrQu/rJPkr33tazdXv/rVB2Hw9Kc//RAIfE+ZEcxCKRWXPC8Nz5gD65JQdpc9Szr8gK8e/OAHD7S72c1udsigCGLuTEcjxgdaasti15Zy9m2pwA7s5OaGgiOorelzn/vcQ3gv32v+jne8Y3PJS15yMB7RkpFljHDCC8KHeGpJwo9CVuQfgyH0gZfQL7wYXW9729uOgLX2bnCDGwx0IDMyT9ZtnuMx1PVwBFCngAyhFHn1wnNwoESMcSyhg36tMzLfuueVfPSjHx2MB/PlvvdtfH1EgRjQ+c9//oH4UwiMIaa8RwBEN6EsZbG3JYnlYEAWfpsoMhaTxeQO7ZowLy/DYutZBXe5y10OJrSHc4XVPlNOfpJwHvwokFaxtu2iQCidsbQUl6n6LGy4sUxaDy2KpocHpmJxakvZ7ZJY/iwkVjbrFMyqQCrsKYZlIVHUl770pbvzWeG0z6w0C0t4bukeXBQIK/ZkJYoU37J229g4BcKr9D13oe+KF5jCFxRIz1MgWC572csO68meSJtEH8yrvao2EeC+CTmtTYQbj5FBQxGJbnjuzSWDSgRFn4w8gv44kvUCj14iC3g6+hRlaJO2BLLvDLs2Ta3htm77bq1GvvEiKddtCqSFUd95r/DkvYE9lY4oEKEMjbmwBn0ciba+zW1uMwj5HvNN9YGwrGE4cfvacJOQA8FgoWGcmngDFAtLmndUE6uW6+ibTae5qTfRvBmCjSKb44Go+4IXvGBulzvVs/+BdqzKHu5TwO0vadtT3FPt6jdKXdiRWywUZFMWzDEFUtu2zxHkwiQsyrnJuO0R6fc+97nPYjqkX9b1WApt23ys/lQ5D5BAvshFLjJ4GIGZNsZOgfi1XnfqLM1tSDO2xowgOAj7hYYtfN6ZbwR2K2TF5vE8BdBL7fh6dRxyuNSlLjWs2Y985CMb0Qj49hSIwxD4jUcg5DU3zcFjChZ5ggZCWjWBWxVIb59N/V37B4Nxbtw87bkOQNuvaIFxCLHyVNpU6x9SIFw0lqLJfu5znzu0455hLkLSZMVCrECmOkA4VrAwE+XUCvm2bfuuH66dPQOKQuzcqQqJsBbOsJCEPVqcslGJGIQhtxb+fpQSJiNQjFtq2w+FM/6hxPQxJ4T17d/+7UNd8VPavTdBM7qcVYXVKOQgnmnDf8n4nOCwF2Fc9iXWJHS238RStKgo7SiQnpXW9lHx9Uzp4E0x5CV8xDrkeRiL8IHEEAlfO+XUCr2Ki1Np2lKkLP5aF14Vz9puzbP1gjd4Ag95yEOGMFuFoy9zg+cvdrGLDd5J+LfWW/osjGmMYPbCeOBRDuoQ3pUGvlGyQkq8FIdWAsPaIFMc0uhZ3i2ePVpa/6z3y1zmMoN3pA4esAdk7toUg9M+Hj4hB4Tk4CIEns3htt0u72CSUehD3rXjqApE6MyctXV26T9to0DWeiBCn4xNhrWwXJtanA8pELFLVjQiiPFzZe9///sPricPghX3fd/3fbOOU6Yj1sDlL3/5wT3GCClvEZt6J2QNhhAQXmMJWdTisuLEEcY9GMJLlIcFKQbJInfyCEPbMJrD1D24tWyOAsm4s4lu81o4y+aVPRiu5y4J/I997GODUHzve987KAwCz0KzOTfHUg2O8CDoCX6CiqBdksDxE85IGCYL3Z4LJRAPpPY51Qdl6LACy4pSWpIYPqwy/TIi0NsJPGEOfM0IseiFPHvJSR5rgiCEtz0J+xaE0lz8e3BTVmGwmAki4b7QLPWS8+h5YQS29emQgfl63/vet0ixBp7cOiGQGXoO0SRV3ITw0EFow8GWJHWEwHho5Ifvwp4sWWErvM6DIETnpvQrNGMPxVitc7JAKDYKpOeB6NtcW/di/DwgB0pufetbD4eC4OkY/5rQVvBKbjyeyScekTB9z/I3djIH/Wxc2zPSxv5Fwk+VNhV+LR97Tv0oEPKuh0fbntzBc/4cAk+bY3gydOd4+YMCSecsex3TXixGE3Db2952mMDTTjttUAI2Qk0o6z/tglT7zuJ0KgFj2sdov6fdnBzDIrwJwBxOdRAKTojEohiDTwCoqy0L6xKXuMRwxPUXf/EX53S9tc6v/MqvDLDH3P8KgAKzH+FHscLFXgOarjldVGELETgKat5YX+YKI7R7Q7VN75kggp9YKmHdWpu9NinLHCTMQJjYV0uyCWkeokBSPpWzZnmv+NLYLJL0M9Uu3xJixIcWCK+MYKNg8RTDBF84WdM7TUXhmCM04ZUJpYjBC/P6Fi8yOCVP/3NznhIjjSCa2iOzFoRsCVFxd6cM7QsJe/EWeVdwWIIHBWBM1lY9DQR3cCgz488aypqrY2Ms5kQigY+ueOh5z3veVmHdw5ei0BYM8icCDT86HFM9kDrW7G1e73rXG9YVBWaezTeDgXXtQIZDPrVdHcuSZwabeRDReOpTn3rADxUGBcJQyZyRXwnJWaP1+O8uODEiybq5HgjDyVrAO3hbyJ8CrsbUFD6HPJBsBrPyLHxa0v4AzwRiNle4kRjc8bVtFoUTJSwSG+dLhViID3kMw5rhxnKfncRg2WLmeBUWQFIdsA1ci9JkYSKLwPhYCjwYY941VQ8ErWqquCgX/7ShyzoXTuGFoA+cCIWl1n7ti9AhaG0yWiiUiNNX5mrb5n7gsERucYtbDPP20Ic+9MieU+pN5UIsjm9aULy9CFhtnBQxb8IhcxK80Yjn6fi4xbo0UcwEI+OIUCMg0dlcsVDNAwVC6PUEt01sisIPH2qPvgQYgdDbdF6Ko/rWl3ESeIRleCd5YAoN8qRY9axGNDbn1oR9E/RaEuID11oWtiZ8GDZCnoQa+tjQd/jBGjJ3jJ663rSnUJ70pCcNISwhEEdEweLF2h8R0ah8kLFM5axz3pijs9Ur4jmwktGfMdEmAtF8kz28DvuuPFi8ZK3GEKVEsl5bGrcw897Ww1sMEn098pGPPDBmUz+5dupa+xQXT5zBgtYUGkM7xkvbR2DMyeOBkCdzPBCRHN64/hmf1kf+DoTMb1PFzfMhBcKVQXhMYuOz/UtGE0eo+E4QT50A4RoR7halo2W7JAvFCZEsVmEnzE6gYCJhFpZyu2jggCgmlxtrMRDcGIh1zl3H7D03eAm+LFw0mbMH0sJFQxa6sYHBE1njWoPLFaaojZtXRBiyCIU7GAMEz1jCDAQFCx89CaEsrrE2vXJWI6uG1Wh+KHChSz8CiYVmnKxB8zh13BQD2wdgFZnHn//5nz8Qqr2+x8p4mvr0M/c5PZf6BJtF5DthNUUnbcSvzTnlrA3rrYZ0AndJbqyEIqE7ZhnXxVthozklh8etN3te9jSWJkrg4Q9/+GBc+fsqHhbjy/h4AEK+xkvo1dM5DDx/s2Odsf7JEYIaD4GjjVAzJTI34WH9UkC8KryCh+S8WyE+BoG/mFdWZZE1rU8GjO9tsg/CYCBk1/y9DHjmghJn9DFGhRG3HaCpeGhvrTpYQukbp0jJrikKZK4HYi3Awzq0Vhl4jHSyjIFd6drD7VAIi4DFgIgv1NBLhB3C05pjGoo1wxoxwYRIL8bXg90r05ZFRtjTlkmYlkbH4JSISXCuuSaMh5Bcx+Bg4ozTkVCWlLGwHCzCtakqkLmWfttXjiqzItuTZm3due8UEUsHfSwYC28sWQwUvnCIP7ZKuKCtPybEUg+dKXs8RCkSQoSKnzg0IclI4S4rG/trYAvBAQdCyfzt4pkJraABnMaMGYaF7wyLbABnTGO5ODpv3OK3+LbRZgyOeaLg8SLrb60yYvDlj9Xw9JqEf619Hg1BbP4YZ8Lb2b9jcdf1IkqBv4RlqqfAS3GEN8dXCaa5kQib8uSHgzPwCA/J/T0PAYdeQuzKhF2T4G4uKRlyok1wJ1PUMaZt89Z+986oNR5jtnZbY7vtc+ydsZITbIyktq+xdmPlSxVIC0f/5gzdrb1tfytzyANBBCEqhO39VxM6wyAmlkAfs9wtWILI4uLy75JY0uBwn1u3GVzWR+Ku9e8VMA6BaCzc/DbRrOr7zk2es8kMRm+Co0AQvLVCevVbXLyzrhNmQb/jSpQRC944nVTrJX8IZ5HzPIRDqnXZqz9VZo6Ed1hm9ceQ8BOrh4vce3vkEWxChkeAiXkM5niXhAYE3BgvgG2h+M5qnet5sZLNuXa8hl6amv98o3zwtzXV49Ue3LEyAh8+DgisTRQajwYf8hp5XIxCwhrs7F8F/3iVFH0vUc4MTgKfoVJTYNQyz/5/pvAPPsmzXMiXQcA4JMSV4eEke4HwJBfGvHlKSB0e7pxU8WREC3/xPChbe727JMY2XOxB9RTeEti7KhB98UrIbzjlNK7ySgPPfocUCM1MC2rIle0lC83EETa9jTQT5pQDGE6tjFmyPdi9MguTYCXkxyaKe60/mjyJJRxlyFJsB6+evw3RDnPPERoVRvqRR4GsCWEFpoVlnBZGzonnW+1r6TNhzKo2Tscb28QIsEApaWGINgzY1p96h68FIGRkQefHU/SjJHmMcJEra5UliwweQjnOoQtb7JrgRMjod+wEl1AH+tv7m+sB2FiGJ7hL/77JmNBL+IynBQbvoWckbeOD+l38HyxWey3flYYEE+9YhCLhscAXP9ensGRN+c4gcbwXfZ0Wk/Kt1q/PlDP+Ce/Iw0/WirWGZxlFvmX/AAxzycgVuh1b1/ZG4Oxk15KEHxMRoaisl21jCfyxev6KHC4U3tJ9osBOvk2BjOGQ9r4zrjNfwqJT6VAIS0VCBvENJvHp2mm0JUZtB6uezSqaGUHEBXdNmJXlQsj33CkTyO3XX/VAKJv8ZajwQB1DcHJeXTtu6FoXFNwcPmDpU6q9vtKnvP1OcYeJCLCeYq7t2+caTmi/WWAWmjm1KVn7Rrv8FxU8EOGL+r2FteY98JInDCI+nrLA9e6/5mCc2EMRJpB69dqywBjLEyJ0ModSTfvkQj54gcczZrW2uOAfxhTerKGbMRzSV/3OuyLo9D32h3a1/tSztRfLkRJek1ocvfs7CieFrEP7Pu0eEo8E/ryBajAGFi/GGCmQ1gMJjqnr3XN9T1nq6j/7BgRmmyhhxiued4pLqvC0YVzycB0aSWr7rW0888R4xsbBuKnrNHWTB2byWu457+jFo0I/h4NSnnZz87SjeK0dfBnjK98CK+/JU56cYc0wMk4HoWpq2xzyQFQkRGhYQscf7dnJZ5FZdCx5m2IsWqcJeolLh9FMDsu8TRWB+tzWy7vwQ+LmNvZZsWLUQk4YE4PYNCR0Yhlpy+XG9Ahp089mmaNpPBNWCUYmNDGZE0HqL0kmStzVL38n4AQNAUjR+VUGA9t4lZtYFhNc7COJ91r4cCFYl+JiXEKFYtFCaOYLfv5PnoTxMHxd3PAh9NAOo/gP+8Dws9dUc2HEqZR5bPO2je8R1AmD1DoEdyxoeOGl4FJxw9RLXH39CskIO9ivwBfmIHzNe+DhsrAdJGiTTWE/fEd45VRWDj4IG415xy2s9h3/Wi8WrM3d0LCtV9/xldNoDDw8hJfMPU+GB8sgEhZbmnhU+f+RGFRgW2PCGEJs9q14AS2O2pAJBBfFxYPWPnjlCLYDCnP3l6Zwt/ajQODXJvj5nx7QlBFpTZJf5ttejqPc5IK9k22bxGBnvGiKLwl7irTyZOXT3slOXhjaUV7wp+TIVkY2PMEV6ktf7Zim3o2NHCJb8DIex1P2+5T5ltB64JOrcHbYIXxELlIeTmEaI4+450RUXI4oEB8JV5aa+K6wkDihI2csDLFr/+kabdxLNkp1bgNrl1h6hS2MZTDcZ6eEWAFwsnAxNgXhj7va8IvwjP91U1yb4nO0lJfipBNhwg0Gw6Z6CJtc//W54uOZ0kBoP7AIYQqAoCaMnSCpf/+gDcXAwvWHkGL/xuBkC+HFQhOKY0UuTRiT0Mjf7IArrEDAMQT8Fwu9o6YsfHibL/07wgdO/cGNB9emljZ5T65+fU77KBAeV5tYujww+JhrffvBJ7lnvNBawS2s9h0ujuFqa7GKgeMFvORvPMB1eAAObWJg+C/bCUIeG9o6VcTzEPJthXVv3GC25d4ZRcYLh6yptl6LD4FgIxs/m2t/TGjfiQCHlz9Qa6MDLYzeO4FDyOPR8Kf1zLhhbDF0ArfiSHkShKx6gt2YhLHJDILW+mNlE+S1XY8mwavWq8++E74UFt6e+mNLYzDX5tw8O0Fq3uEoatHOW/ru5XBguJirul7CozUnH9vEUBQqtsYpMPQRZjQO605odY4ya+F6ZyiSN+SOtU45WteMR/LJt/bwiNCxtYYOjmjja3KR3LcXR6b1/nePdi66CoQlSBOxaAyaB4CxaGyb6704bQbGDYeIv7A+rsTaRCQMiUgGhyng5sQF4rAu2sHpn5Xt3L7JsggIVWMhxCmduHnqtu3b9zoeSs048zMJnsWBU1bd48Dn1cEb/n4Ujs1Hf+E/thhqv71nVhhhYrEamzFiBO/6ExPuhWVY1cE1+Oe9joWlUtMUXWq93rMTHmDHNa6wCCeeScWh94zZI2x7fbRl6QN8nrOx2hNBf4KNEeFvQVjcvYSXLcLwnTb4B1/1rM0ejLYMTkKPhA2eyWZlcG3r13c8bW4JiMw1BUJgskDXekO8e7xIORkrg9FeAXozQKa8Pt6t8DeDCE+jLR6EF8HNs+vxYB3X3GfjozgpdNb3WOKZ2+Ow9uECJwKT8cLyrmkO3Xl5lR/bNZO13zsaDE944B1zhr5kGRjWV93DqXjNeRaarnh5bnFr/4dgEQp1HLaAE9qYb/NFwVH2U/MdvLoKJB+FszCVzgkhgqoyQUt071xUrlBvT6Gtn37m5nHVDA5OcBNOqHDrc+DyhGhcSpEAMRZudvVY0i552o7lLGDjrD/uXt4994QcD4PHYAx+wm7oarLSd/KxvttybTEEBrdQeRa8SO9Tyt74g2+bc3mVGcfcE2otXr330C0Kv47VszmuuASP4CLHl0vDfBUXY8ocoBfFDV7FpdaHg5CREC7a8izxTxXUY20rnPZZG6EE+Iwpr7aNd3xlbs0xfibcCURrbw0e6QM/4EXrCm8G7lzhRiHy5vE0OqGX8GdCp7vgFhzl5grd8EGVR7VOno1JaBCtjElIpyebUn8qR/fKm71nvIK322SNkkFZn2jjsIm535Uu8AKnh48y31rvBt18YwDhZ/OV+RYinYvTpAJpiTDnfazjsfIlMLfB2PY9fc2tl/rb8uOGt62/U/V9bJxj5ScSz+PqcwmcJXXXjv1k9LEGt13xmtt+br05YzhOWG1/FXZ9buutfV8Dc02bHn5L4By7AukhtC/bU2BPgT0F9hT49KPAXoF8+s3pfkR7CuwpsKfASaHAXoGcFDLvO9lTYE+BPQU+/SiwVyCffnO6H9GeAnsK7ClwUiiwVyAnhcz7TvYU2FNgT4FPPwrsFcin35zuR7SnwJ4CewqcFArsFchJIfO+kz0F9hTYU+DTjwJ7BfLpN6f7Ee0psKfAngInhQKfsQpk7h/L9Or1yk7KbJ2kTk7E+E4EzJNEjhPezXHS5jhhnfCBdzo4I+N/Rsa9MxWzimYpkCnCTH3bhsEubSvs44JTYa55bvFo38Hsla3p62S1afFt35fgkbbJp9qqM1Zv6tsUzHwbg5vvY3naJR+rt7T8uOFN9b+mrzVtpnBY+u04+z9OWHPHcSr6nIvbrvVmKZDayRmNGC2+3tuyOr61zy3M9n0M7tx6Y+2VHweMKfj1m77W9Jc2ySvMk/E8p985dU4Grp+OfYS2yU/lGE8FDukzeR1/r6x+n3pu27bvY23n1JtT50xTldpv7fsYcmPlu7TXdqr91Df4bGs/hvOS8haH9r3Car+177XucTyDnz6SB26+teX1e553ycfgb4OZdm2+rV2+p13ed80rvPq8Bm6vfa9sCWztAyP5kva9uscB5zhg9HCrZb0+all9ru2O4/k4YIOxFk6vXS3Lc/J2zGPlbb36PtsDWQO8dnSynls8vbdlJwKX9JG810e+JVenPvfazCk7Dhhz+tmlTg/HXtm2Pta0AXNtu+DTtm/fj6OP9LUt7/W9rc3p5XuLe/vew3OsTlvuvS0LvPq/N6dO8tRZm0/128I8rj4r3B7MXpk2KU9e4dTnbd9Td1KBTAGp3/KcPMDlylKevH5f8pz2ydu2Y+W13pw6a+vPgb2tTv1enytOvefUTV7rKMuvluc5beoi8y3lqXci87av9v1k41PH2sMl36e+pc6S/DjhnQhYYzDHyqfGvqZN4C1p26vbKwvstfk2mNu+r+13abuKR31eCkf9SQXiAh7/l7x7m903se2CEf/HvDZTP3W2/R/+7UAMMu3GYI8RAs7umHAPh+ss5XPvN2jxGHt354Z7EMB385j7Bqow7uHmu/sM0NbFN/VukrF+xsrBRxdjDZ08+4Veyj2396fDI3UCQ576nnv4j+HSK3dvBrp85CMfGfLcfTEF1/0F7nrRxh0V7fXAvX6myvRl7OYevcF1Y6V7JVqaTMHJt8A7DvqAZa7cz4AfjNe9EvW+Ef2GXuYsc5scHr1f8N0l1y9+WEMn+PmtTfrOvTVo4wI4tIFPTaFNLcuz+2zMtXtfcheI+lNt0nZujjZzeMF9OOE/49mVr+GHFuC4Ljd87W6YKoMyjjpmz+4usc5CW/J+iSwaVSAE4nOe85zh1io3Ebr5z81sOuolBHQj2fd8z/cMN/3J25/bwfx+7Md+bNHkIUzatjC9u4o0FydVAsHVd9dZ3u1udxuus5S7Yc19xhTLLskkuX3M7WiuAXVdpisrvb/4xS8+IgDSF8XhZkc3Proy9O53v/vGTY5rb7cjkM2NsbplsUej0M/91TURqG5D9L3XThnh36ZK5/ZbfXcro3uy0QV9jNW1ti736TEq4YCm7i3Hc3e+850HGrl9Ds0w+JpkgT372c8ebu0LLm4iBPeFL3zh4tsgAw99rJW1CR1drfrMZz5zuFXOWsMTbpVzTazLnVpauwyrnat2/qwJPNFeBtbC2oa3+u7qBv+Nb3zjtuqHvhNm8ED3GA2HKnRegp9cG327tRE90AU/eCabGGxTyfXELp5zdbF177ZFzy5P6l1dPAVr6hs+ftnLXjbQyIVVvURIv+pVr9o8+tGPHm4PNQ785xZJt2GSCWuS9fKsZz1rgOM2SGvMON3e+pKXvKS7dvVDXrvJ1e2MrmgO37mlkCxygVpPAbU4HiiQTJwKFoQrUi9+8YsP12a6V9xdu94hV6+BDUAT4kpE96hP/dxD7prMJckNgoHp7m53GrtLOM/wynWwdRwvf/nLh3ua4eUKUPe7u24TLHdgP/axjx0V8mP4BT5r0XWxV7rSlYb71l0NiU7ubE9ZT9hROq74dH+0e7DTxhjAeP/73z/W9WiE59x2AAAgAElEQVQ5AX+JS1zigEahVXI0zzOca3KzHlq6txpdez8Ca01yA6TrUS996UsPV8Ia65d/+ZcP/bnS073yLZNaiFe84hUHmrpGVhv5xS52seFubgvDolma3Njnbm93huM/vAAuHkJ7/M4bmZNYmk996lOHtujqdrk1CS9RpHjzUpe61LDGjNc9665fxiMPf/jDB9DhOy+Pe9zjDuYz81rzzLex7aLc9IUf8Sn4hMzcxNJHU+0ueclLDlb33Lapx/jQ9+Uvf/nhCmK0ceWqefzcz/3cAZ/f/M3fPKJgtWeV4y9XtV72spcdaIqu7gFXhs9aLyb9Ls0ZPObKWBlwvfS85z1v4970L/qiLxqu1TUWa8PaI4vIhDXeiNsE0QOd0AZfBy6eYqTmRsiKl1sMXYlsrZFZ2uFD72QBGO2V3LV9ng8USApoU3finv3sZx+0PeFtkty7yyJUzgJwTWxNJsPF8Cy69scDoGkRz4X0NO+SZJG5JP7KV77yYJU9/vGPH3IWmp9+44FUuIj7tKc9bVjgrDx3SbtukxB1cbyF1t6NXNu3z1nEaMSKPu95zzsQmkf1wQ9+cKATzc3SeNKTnnSEIQjL7/7u796c73znG9q5jhRtTRQGOte5zjUoEUpGSn8tHu07L4JlFbqjt+f73//+B2UEMNqjR02u2TzLWc4yLPLQE315Dd49C/stTeaDsjj/+c8/WJDGiP6UEavn3Oc+98APrdDmubGCeIiu/EQfNGVxExrnOc95Bqt2Lm2CN6PHmN7ylrcMQjF0Z1lf6EIX2pzjHOcYLMHUr3nbFwuWUkQ3NAVzWwKjhYNn3NVN8OAn/Aovd9W7gpWVzUqsCQyeQOa65ubb77a3ve2AF6NiTNlWXOpz7YtVfIc73GFYe8ZJwEwlcPxYt7wf6wON5GsUGXrwHFjS+Ab/UGgiHWQB2O4hFyJrx/Ce97xnUDyEK57i3aP3S1/60kGJXOEKVxhgTo1nzjdzxSgJL/CWegk94Eo28FKMhXfJEKFEyIQXvOAFR8bRg1XL9E/WkCWuDw5f8yIoAuvsDW94Q20y9MHgf/KTnzzcxw4P+KARZfjFX/zFA//waMxlTS2djygQE2VB0dqQqUkckXVtsO7PrQlggoxAEBryIwjzTFBd7WpXGyzJpRab+hiYe0Zz9n4ZaB2gGHLrqvpuYbAGwMRcSbVtynq5e41NOssK8ZPSXk7BthYOIYah0ZdCrgmdbnrTmw6CzIIJrFpn7Fk/oXMv5wmwRq9ylasMjFLhYBzKmZeGrpSjHO3ynnEswYnwP+tZz7q59rWvfeSOaDhe7nKXGxadu71rEq7k3aWv5PBh0Zqza17zmkfmtcLoPeMDMAIvdcwTTwRcindbEhZluZnHq171qkM7izephZ9yef1G6Akd6Jdh1rM+0b0aamlvf6iuM/TMWlNOAaP9Yx7zmM1//Md/VBRmPesHfowHAkj0AZ63v/3tZ7VndLL0CVZKnwIxr0sSHIyL8dJ6qdY6gwJOF77whQ+8m9DHXLPw8TVvjceY5JnA9U0d/N6mwGnLvddv5B2vjAHAEACTUO4l4+iFqeyJkGvG8mVf9mWHcO3Bacvgj69rgqO9jRvd6EYDToyTNqFpe3d7xhba8vxa2C2cQwoEAIvIYGjLAEyuMWR8Zxm0E9sCz7sJpxFZedq3Qj31xvJ4IGKgUsWntllSLkRgHOLqS5Kx0Mzacg9Dg7G+K+xMzC1ucYvuxqJYPLjCbD3GrrDqc+07z8kJm9NOO21YxKyvlKc9xa7PG97whilalbdwo/TRuR2Ld94owWLDeG4SdrBIhdl6bvkYnOCWvK3Ho0YDnvdY0lZM3pwTqmL71oB2VYGMtW/LhQ4ZEp/1WZ91JGypr/y0q3iPPQc+b03ogvAQd1+T9MFq5cHc8pa33AgFo7sQ67bE02AICQuytikR9BJmDe7Jt8HyvdatzzwRShJerRHy4Q9/eLC+WeB1zzbthbspHrRnwa9JFBFv3tge+MAHDlEQvDCmQGofwSM5T1Nb82a9pry2GXuudfOcPIrJfmKbUqct986jRlfOAiNyKh1SIJBPmMnGTi9ZLAbLAsuJhl69Wva+971vqM8a7W3I1rq9Z96OPoW+xgbeK++VEfgWlsniRSxlIFaHeCcCv+lNbzpAl8UWa6/XL8VjMRoHy66XML7QGsZeIlh7/YGv3CIG7+u+7uuOWBzqxAMh6Cscz/W9xXfqm7q8LYKedUZJ460kBgGc7njHO3Yt7DHY4sjoh/6t9RTYc/P0wQJkYaP7a1/72oPm+Z4CfKN/3jerE+/Hg1ijQIQr8BABa5HqTx+MK7wylVrcUpdSFWaimGw+99JY29T1XeTBWhWFEAoSckH3bR4Ia5UwZSgKFxqXqAMhO+WBzMEp+CXnwQsb6avdTA+fGIN1WZO+CH8eN/qruybZnBfGZHjxLp773OcO8CiQqfH0vgljoS+BHRmyBqfaBn/a6xHynYr49PCxJQCfaiBX2PX5kAKhmXWIsHUDRSfpiMCxD2LiCLw2pV7KWW1cRQJDfG1NijXLMqdM4OYoXEIr22BamBhJXN5eiFNYXOvv+I7vWOwN2TM529nONggc1o2w3ite8Yohlml/Q+ze6ZM2oQPBZ2II9V4ShsheBSE7N1Wa12eLFhPpd2yvJwrE5hnaCsnhg10ZmSDkbeIn8WbWGroIkd7kJjcZNomFuZIq3vU533kt4vHox7KaO/dpLwcXLxAgFAd84IUXnA5jHLR9593eGZcePcP32lgraxSIsJWxOI2DN52OY4lavOLl5n/KQAteGZ93wtA+mujBNssx7dqcEuJZUZTwQS88AdcpD0Q9exMMButdKE0ZBQKn6oG0fU69t+NUV5nwHJwoYGsrybcodnjUVGExArRXdyzV+rWOdU9xUCDmST0nGfHCHA+kwmJYiUjABU+g2ZqkHT5iWDEA8BFZQgm0J/EqfLgzWPCLP9XgeQrNMqrsqWxLhxQISwMRKIjeSSvAMALX0IDF1rclTEWImLAaz93Wrn4n2AhtlpVYo1MDiC3kkw3escm2ICxIWt5GtUVg8k04Jm/TGJzUe/3rXz+MnXXNYrXYwGPBsyDsrRAK7R4HhWdDGd3sofQS+hBS5uBFL3pRr8qsMmMgYG1Wc/Mx05hVi9lYiBS8k1HCD8aEPu0eWO18G53U5emJx7MUzR262Fi3h2CTWJoDRx3GBxhCI/hhTaI47Hk5KfOoRz1qwIdCcLSyhjoqbH2bO4vcgjTnwZkCMZ9jCiT1Wnje0SFC4/nPf/6wD4O3zQHvnoXMircPMCeZK0aAvSXhsbHUw0ld5XhGaM56JVijwHghcHWKaSwxUGxsUxiMNIkRMscDGYOZ8hZnBqSTS/CsHkTqOWUH396eVurwlNQxr9tS2qhHWVHQ+haSxlOS9QLeNgVSYRH6wrLWHiMPnaVaZyjY8g9jjSxkwFrzFCfva84BGGvJelDXnGvnpK0DDK0y6+F16P/C0ggRWAxjLqeNIKEf9ZwG6QFNmTAMBrLox85Hb6HN8JmlSPj7EUiOq4nP+lEkvAB9pt8KkxBzJM3ixHSEpSNvBMnYCZXavn0WjjF2ysCmF6Fo8l73utcNFpgQAgXAW4pyA8MY0FVbcepeYmVnY9bfBeySzCXL+hrXuMZkLBwNMJ2TaRYGK98GqDl2tC/x5R5tg9/YN5vhvD00p1hzUoUHAr85XgTYDBXjoLR5DGutawvNfFH2hK05FKax8MYUiLCMo7TG4FQaGElRIE5l1TRGj9SxMI0HLzjYgFcoMZ7pa17zmkHhUyKseXuH2+iEHvZxGAuE2tIUfG1+65dBVA3IbQrEPFMu5scYAq8qkLHQderOxdlJIaFgAtzJzt7hA/REW3+PNZbwvDrGOjeZN8qewPd3XzzWJEYqeOZrTgKL4WH+yUft0Sv0SD4HFq9DeJGMY4DyHuWMgW2n3ygPNODJWfPo6mSfOcd32/A45IFEgYgHtwokgDCLDSjEGouzGrSFZlOSMCX45yAzRiyEZQ35cbO4ViwPFj9vCSPVhV3hcBFtChHwNgNtKCEYgcYK6Z2MqO3bZ4rH2I2LNyP+GtrICVxWoO8EU5IFGQVST27lu5wCYcWBj6HWJoxNyQozOtE1lVhQQntoixb2hNAJM8KDEmld4Ix3Ci7Pz7w7qZZjuRadxYJJuciEZfWMWrh4xiIzX8IFvMjece0pPOo38AhJXqRQI2vxVre61YCjAxqtxwU34Un8/tVf/dUDfSx8P7hGgVgHKav9jT2Dy7BCX8KIAVLDMHgWbhSCcW8TAsIOjqRTStbn0mQswpa8Iv1RiMoyJmFHuFISKUsflJc1RcEKWXpXx8+ajAdiDMpqaue7fus9C3lac8Zq7faUEpgMFPhOKRAGkzqMwDkJXEI1YUyh34xTewYfeI7xqjs1NqEm8oi1z1gj6HfZ0wOPJ4Gv8SscRGns85522mmDcTSGj6PN+IeH7w8+rVFGhEgEeLVdfQ7NDikQgpngEy5qF1MasKppOPXav2pOHbkQBYsEQ9ZNrh4Std2257RHNEokoa247fkOTn0OXAtV3BIjEOgmr01tO+8pM0EYhTU9pkD9sZs6GDkC0sJmUSq3pxN4FU9MxCJGW38EtSaBa0OP8hAqqlZS7auFXfGxMBwQMM8EQw25qVfrBk5bZpOYhc8jiwDMZmOUE+EytjdjfikYR3Z5C+a6Ctn0u0tO2BFKTiyZT1a8fpMIqHiEPF2n2IyLwBdi5MmYKxabsnhraV/zSh/PQlR4QS50Wb9rJ2yW/bBs7rd11ONBwp8hlbBnr17FpX023wl3+hsAtDYeYwUzwtY37/42JaEbRic8rSWKxPfQBxwGBF4k1HzrCf0Wnx7+9qAct87eZe+PdAOHokNb8zmW7A2o04blen2DYc+MUaaNEBlD0jgzVmEj33gCxjkWZmUMO6CE9/EWnmIwjPU7hv9UOX5ipFJQ5CNFynjqpdqvOqI5ogbWg7WHD6fSIQViUmj3KeVAyUDKEUyd9RJrlmUHDvc/QrQi22s3p6zCgG+8oaUb9KxjEy7mbFLnJsLUuKaULKZQx4m2CCShEIJQn+KeSe14omTaPZTUn8rBMif6JVBqP1Pt8q3iAl/uNXy3xXXTPjlFKEwIB6dVakJrCtzGOti9o7MEGuVhgfHIKG3e2XGlOk4weVxw4cJXC16okRL1E/6sPx4s70E7Qs37XK9R/zwabcdONqGBBayOzexeAkdIDy+id/4AtVd3qozgYIkbp7AwDzpjNS7jg0foICSc/UxjVk5umNPajiWLBwgjMX6wKJyliTAUluK9Mvh4t1OJAITv1KZ/lEyP/3qw8YX+GUXGFRrxIDzbn9OnHA2Eg9uEzniNHBAyYhhEPrR117y3fM2QhBMjvjUkp+CTIdYCGWYdTqVDCsQijWUk1tdLscAJF1q5Rdq7OsJgkMiJlR6suWVtH2kntMJNQ6QxfFO3zYV2tLNgloRFhPYcIrAoxkJRLAywCYBYagSCo7TKe/89Bfy4yMIW6CZUtzRR1E6nwA2D9uLDYzDRuNIZviwY+FK2S5K9L1YnwTJmccaq1UcMjPRBSVMeFqxQExpW3FJvl7zCc8zcONG+/n9k5prl7OcgQv3Z4LYwtXO83LclSt9+irZCeWjdJviF/g6i9BI6E1bg2MStY+rVHytDfxZ1xmlsxuMP7vyi7AhK7xRajC4eXEujtOPV8GDxAisYzCXH0+ErEkJhMViFhMmcNmXcyfEMmjA+eJltovzy5wqvfOUr28/dd96v/SVjC508h06ZK1EHZf53ijYJxwq7U6bCQ+genNu6S997cOwdUgLmYGyPr9fO3FL2aFjD8MGptjmkQFTAPDp1VLJd2Bg9fzzVEyoAm2AxazBsWPY0bEUgSG3Le23E6zGWgY5t6I/BzR9EIlSPKXvt4CCui6H1iVa9ZOEYv/hjTawPwj1hi/rNs7+aBddGdo9ubf32XagoQg1zz0nG1KOt0z9Rzr0w3xRs8WFCgxGRo4C1D885+44W4TPlhLZYPKvayZCxva2p/pd+s/GL7hZa3TzG7wRQfryyPMuFsLQjDLyPhQlafIyTstEfJcniC32S8ybQHx3bI/WBh//wk3pjijp1t+WERh1bnhmVFJhxsujRoM4JPlVXvbSRqydCwCLnqTlEorzO9TacGIj+aNdaoqTnGnpCpehKNgiRhqbpj8HAuOFZ1YMu+d7L8YJxt2P0buz5Y1TKw3sUbGAR4PiFR8ZrXLO+A6vmxpbxJc93oTTzxuCdwx9pr67/uUJbYciUB27NDykQFe0liMMDwBJMYwTE9CZGXNNfguZbBWhfxMJgzY25P9r12lY49ZnFUCdEWwuMVYO5aPR20197hFCv9mWROxGW8Iz/HsPYap3ad+9ZaIhwZMVUi1Vd9APbRnG7R2KTmqWCsWNZBz5PLSeDxo6Fpu5Ynj9m4mbP9fwwu18SOrC2/B9RmF1IDb3m0kc97rKxmBvhhNYToujy34cwRNBf0pbSwDtCk/jNvPpZ6HnmnaVN8N6Wo712rZCnMPIHnvaM5hoT+rP3YJHlFNZcGmkrzMcQoQAYM8K+SQSVDU30F7rJIYYK3xxlI55RZ1z1e2DNzafaJuqQkFDqJtdHnpMrwwcUCH6fI8BaXO21aMuYYHyBET7wHH5ohTFaJETtAEdVPHDKf4kjfJUIQdv30nf/BxleqOHe0ILSFHWwHshP6wn+dTzGQuEulUX2wPyqYtYvIw7v6NOGel3jxkamMlwowJqEBxkmaE7xkPM1ZUwpO6RAFCI+d1hMEwKsD3FsQhPDA8qFGyN8QhMUkIHVlM6T129Tzyw8x83EDOGCsZzCEOqxUU/YwbtN3C8bnNxzHgqBTqMSGBauBTh2pLaFVd8JRBYRIoulYm54sWR5bhQoi6S36Qt3FqMQE1wIH8pELNxGpBNlNtWWJvORP0iySd0yzBg8Qpq3Yg/JGCh9YTCxXXNtPlsmG4OVcsyMhygBfEDRg2+swntOeqARPOv/BEBwRrFTXOrx4vJjjTr59P/Yu/NfW5OqfvxAN910NwjN1IqATGKMoqIyqYAmzJAWowIqNjIYhjAKGAgEQQMBlElkEBBBxSiDIqZRiSEmhogG4/gTRkUSFeIfcb55Pfm+z2edulXPsPc5d+jelZz7TFWrVq1ataaqfZfz/WvHF5zQnTAhmJ2AoaTxtN8nobs5MX9bSsK99T9TXOLt+t1Gq8MchAqaOw2DRjw++wm849YICX5ORjFiCK21YZi0HV0rbvXegQ79OBBR3y/BsU54H/AkILeW/FccFKn/tSB80F57G70MAwqeAvObH4dC0JdiwVu+8Yq2lN7Y886eBxr1PH/CmlHuO3nV4p9nMq1Vhkv4CcWTNWRJ+NoerNOTvFchTrKvLTwiv/cgy/E9vrNG/aeswvoMYAp2ae1PCiRESCc0NsCEHEvSRrPYnWdhltFmHTgWOMvcwuwJ9fSx5QoXXoa4uB9+iW16dtSM8oiF246D1rfhZZE64ujPRHpH8FNIu+JIw/vhDdgWOxpl0xcjjGK9JoSnwJ3VlkdiPOhrwta61C39WM7ir2g/Cq21bTwT6IQnwY22xoA+rHFzPfr/lFpat88sPWfihTMxpDGCb5yY2qkVArR6EhSI8JUx+FPXVdu8c6V4tngKxmlR6ZdQZjjYn3JPeLPQ7KFthSlEC5+504iV5i2NeNWEM8NM6NH6wg/4CU4UHJr0CqMDfZyMYkmmtH3k/dprbZ97Asg4nVzaUsgR4zEu1vXWwlPIvLc8kPeuCTsG3/Rjw946ZwzBIetfiHiXzfzAdW374jnDpbcXi6+s94pz7x7vj+a79l3vHWIwPrxsjPgan4sSMZTxfU8JoJk1Tx5mbcJJWM86FYZfI4vO8UCCHOuZ9SOmxwqlWWnx6mqnbq6IauOGFVv/m4p83/XKjRI3NCjWrDwe4ns2ncVaR8UvYi1QbmXammgeg/PPVXiNYMy9Z1VZyAQtzU1wU0r1JE+vvQlFJ/sAaOu/VLHp1npsvbajd2Ba6Ghfj02P6uc9RmLxstKMwQ/aKDi/l0joJHW3XnlS4GByytzc2TwWEunhyHOJF2Qc/tAl97nyHrZaaoQsS50na4yVj+wx1IXbCofRuAkhOO0zb8bhMIakQHgUndzzjOfGyIDRtzUZb6ziXe9H+K99L9SiLzhtgYumsfzrOh3BaN+jS+Z87hpPv21vfNY56xxthQrJjer1rqXBUj1HuOHY82rMIy91NAYywzenExOKWuov361f64l8tIbxtePUPBN7PSMeEkLlsfDI1dcOjfyexRpkAK4p5yiQOgnuMafOeky6poN968DBH2sNo1BgXMK1wj9tWQHaV0beF7e0BxNehLj+1paMqWchrIVxGvWEv9DHGAj9eGVbxjKHR+BTSGvGOup39H6u7/YbmhvjiI9Oo4+2zzXPaG6d+duH/meF/xLcpe9raHBWdQhl/O1vrdw4C1zQKH8t/H3ph6/JRV5f5OMamHiN/CIb8d5oa6LFN8/nKJB8uCldQ8hcT3NsW2FurX+auG6BdVp4nhacLbhvqXta+J0WnC24H+qeS4F2HvKca23Re1e/X6j7iwGvtTico0Dahu3zHFFTN9e5uvt82wf+Pm1HOK+FubaefrbUbfHap+2ufetz334zjh6c9l37nLZL17TLdan+mu+nCUt/gZfrEg5r6y3Bmfuuj6V+1tSp42vv5/pf8y345Zo2ec4178/iutSH76mTKzxyn+ta3Hr1175b28dcvXMUSB1MbdhDqn6/mO+De64XEtceDt713q/Fc5+26eM0YIA1guP96FtwOIvr2j7X1jsLHNfCrDjW+7TPu1zzfp/rVlhb68/hdhawThPmCPfz0Ufb95Y+U7de6z3YeW77aZ+7CqQFsBZYC/w0nnt9995t7es0YNQ+W3jts7rtu6XnCn/NfeDluqbNpVpn1zFql7a5Xko0uBRxvljoe7HRDj4tTvW53p9PGm7pd6hAdkF4S8e7wL/Y2+wz/n3aXgp0WTu+1Mv1rMd2vvo563FcyvDPxxycjz7aOTiffda+6n2L09Lz1rYn8oGcNvAleBfy+1ZCtbju276Fd1N43pcmS+2Xvo9oWNvV+1H9pfenAWOujxH80fs5WJfat33GuE/bXenU9tk+7wr3QrbbMoZT9UAu5KAPfR8ocKDAgQIHCpxfChwUyPml96G3AwUOFDhQ4CZDgYMCuclM5WEgBwocKHCgwPmlwEGBnF96H3o7UOBAgQMFbjIUOCiQm8xUHgZyoMCBAgcKnF8KHBTI+aX3obcDBQ4UOFDgJkOBgwK5yUzlYSAHChwocKDA+aXAQYGcX3ofejtQ4ECBAwVuMhRYpUBG/wXy0g9Olr7vQkW4VHy29rG1fsUxbdtrrTN3n3a1Tu+d76P3te3oXtst7WtdtK3Poz7O5/uzwmeUe2FNf5UHQ4s17VK3d92nfa9t712v37N4d9p9nya804TV44NKz7avPI94r7Z1n/rtfVuvPtc29f1Z3A8ViP9TXkIXCZlk2ZK5ToISeUHmEPRNUhUJUrSTEUuilP/5n/+ZbTc3OCkrZX2TOEVCmPe85z0TPt4l8UlwyhU8WdDkH/6bv/mb6S/3rvVPwqqteUL0U/vSn0RS+uollUndXCVUkizJWNBYsp41uTJ6dMKMEsugc+YLXGlcjXNubOZFelRpLSWhkUxKJrw/+7M/O06UFJxr37139fvoXipNNFrKUCcRjnnBd/hI4i6JgJYW7KjfvNf+n//5nyfagyvdsYQ+5mwJtsRRaKwNOklQZd6sla0l9GvxsV5uvPHGo//93/9dBCl/g5TE2rz3ve+dEgTV7ISLAJoKckOgcV0b7b3c8qNiTBJd4Tv8J3EbmZFkXRnzqH37Ht/ilYpD+5xvLT+ZE/yT7/UKhr8189birM0//uM/Tomy6nr53Oc+dyyL2nF4RlsJ6CRYs0YluUqq7VH20h6c0Tu5dshDKcjBtl4k1FuT3+Pf/u3fJt7BQx/60IcmnsJba0pXgWAS2fKk2pTiVApQqW2lSJTrOpnqWuJa9LJcyWWsjRSL0m7KHS3X9z/8wz+swemcOjJlSY0KF2kYwZTG8eEPf/iUwS2pF4NPrhj4sY997OLf4x73uKMvf/nL5ygEiARWRar3DsFlF0Qj11pS39Wf7GTSoUoliU7GI4VppW1tv3QvQRJ40uqCiU7mS8pc+LzlLW+ZEij14OhTKlx01U57tJU2Vj75uextGVcPbu+deZJLHk4WX6+ASXD4/vjHP35KAwo3eElPSjiNsqz14OUduBYTw0a+6MpL4ONZimS04GS2Q4+kINYGfa0RqXsp4q1FEiD4SO+LD6SnlVbUennxi188KboWZmhujUr1bA1ooz0a/czP/MxO6VpD96c97WnH68W68FfXkLzZvUJAfuITn5hoCx/0dTXXBJpkTsG919679rtMiG3/eQa34sXoqTAYaL639Wqbf/mXfxmh0n2PN2TskxJXelw0N0brhXySTbIaj3U8FMzP/uzPTqmi0cbf/e53v2nOrQlZNtFwl2JdyWqKF8CFl7TIT3jCEybjYs6ApHTwDH7WzhUcGWhHxkId1wkF4oPOpPy8053uNE2AFKA0k3SJGFQOae8y2ABzlQIXEhaW9JGsEKkWCYIrr7xyWij/9V//tZlGCG+Q0qGy/KRhfP7znz/l/b3qqqumvoJPBc7CTC709vrABz5wItYtb3nLo1vd6laTVVHbtvcZZ/veMyvSWL/hG77hCLxHPOIR51RLexYjISRnMSGhnZS7P/iDP3h03XXXTTneR0LsHKD//wtZyAiyZz/72RMsMKWpRbPb3e52R3e5y10ma1D14BFYlDMBJq0luqIvBUipXX755Uc//dM/vcpSC7wWft5TctJmojUaWWy9oj0rSK5mc3pwQ70AACAASURBVCYFsfHgP0oRXtKk7lKkoMXDFu7LXvayybOhQNHptre97bT4WK1t+drXvnb0Yz/2YxMt1UVbQhEMC/Xaa6+dlPRo7BVercPYgo8xvepVr5rGaW0Rcre5zW2OnvrUpx57gRUGT1X9O9zhDpPh8aY3vWkay3Of+9yjO9/5zkc/9EM/NFmftc2ae4ah9X3rW996EiKMmvaPAu8VKZqtfcIU/5gz6bApQ7yOr9aGbQKfZS4/d127yW3unXVkzd3iFreY+KTSlufjfWj0qEc96ngsud+qQMhGiuLRj370lP75Xe961zQuqaDNoTm74YYbJgO74mI80l3D2RolE9GHkDbX1oRxSgPetgsteld1ZdY077e//e0nHsWb5LW1Zg3546H24DIOKQuyXr578hJuxodueMyYe22Dz7ECSSUuOoA0K7cv1p6Uh9wiiN797nefXMAAcRVKQlwCHXHUVwhD+YIxEoHEWktftf3oXl3MwEOwcDxjRIvaADHJPe95z6P/+7//OwcEBmTt1z+aPs+IfNlll01WAfy34FU7k5ud0pSQHj4/8iM/Uj8f35tsVkHokPCbsCDX9lu+5VumsRjvFly0h4MQWsIF5o1lwmqHE0btLWCWNauJgKcI1YEnZQLPa6655kjYaU2B8whv3uAd73jHSUDBh4HRK0JxeA8PCvHFesJPFgJBj5fakEUPVn1nXKxryssiM0a4MjwqnQi9thD0aMH6FSLSRlswCBE8xHuoIcjQIdcWJuvOONBX2CEhA14JJUagEOS8x7YIcWWNCqFpox8hNgaBMTK6WnxGuAQ+HO5xj3tMa5xCkCsefKFsV394rC1f//rXjx75yEdORuLb3/72Ka2qOubOeqOU7nOf+8x6sy1Mz7yWul7d55mxKhR017vedVLg1o+SMZJdBDMaZxwZQ67gL5XAU88606f1ae7xlDXDgGP0MNauvvrqCccWLnoyfPCt+Qo8oTTGrDl71rOedYx/2370bF3p82EPe9gU4YETnMlDa5g8ptzaMBnewCP6JQfxjrGQHxQZT4QxIj96WypNjhWISgCwOC1wFmlKGuj0yU9+8vT9hS984VQ/3xDHImOFRHlon+9i2b4TtGviu23fea5XxIcrobLWswk+mJ4wJ9Q++clPTnjmW+3D/dz7r3zlK5Nw5j2wvAiTqkDS1pXiYqWY0JYGaG8ijefnf/7nJ9q2eMw9p5+2DksZTEyKuXpF27Y9ejIWtLVg9ikWM4ZkPbJ0wOTl9gqrzHcWf4yX1KPkhNvQWPx4S7FoeQva9sJyLC/9sibb8upXv3r6xmBRKq0oFN41Sy/KLu1rvbzLlVKCCyvauJRa316f7zyUGBrqMMiuv/76CR8hrLaIszPwCDOCoJYKP+/rO+tWW8qJgJwrtZ39M2ub0iNMa8FzBCPaUm74vC0VVvvNc+87OJQVASk8bm+i1sOz+uRBnVbRZy/SoV9zT/bps8fbc1EFspYgJxtbHprDHU/zpvRpnSuVBjxK3qjvvNT6zZq0vil3eyBtUV87vBaF19bxfEKBUBCsPw1p+NphGlu4vhOCVYOLwXnPyusVmlcoxaKwQbtLafGx+YvwBEP2ZZbgguEP811xxRUT81VLbal9voOhnUWBiV/72tdOCxY+VYHU+txXNHrOc56T1yeurBRWE4+qCo0TlTY+CNHoU5iq0i90aMGlDqaimIVnWOhLJe3aeiwbTEhRC3+IVcOn54GgJyHkO2+jVzA2GvOoeou518Y7C5g1ir68hqpMCQZz4xuvpy1vfetbJ5wYHAyPFGPmsROe9qC24COEZ5yswF6hCNCeFyLsmcIT957S+tKXvpTXx1c4xcizJkfzctyg3FhDUSA9j75UPb4F3/6RORmFJT/1qU9NY7VOKaktOB131NzYIL7vfe87GSU9D5mARF8Cti2n0X8PZoT1i170ovbz7DPhj37W/dzGfou3KAzDFd8ab68IAaODUFVVYuSV90960pNOrIXAsF9NrgllzR3MOKFAwkAA91wXwMWRfec21Yl7wQteML0XI+4V7h8G0lacd9/CgmfNGiSrtQqEJdgsULiwiqtr107QEhwhPdYawUJQIrrx9RSI8cdCEWvsFafNxHQJpNZ67NVfemdsGIebz+JdKhm/RY6mhBdvKGGxpfbtd+0wKmHHsqcgokDsabQFo1JajIzRgvjMZz4zLba73e1um5SsseE7YzLvTvSxsikPYRGC84lPfOIJzzD0IKwsblY9L0SYzTfCXFhLeMYm6ZYSq5zi6hWCxH4CfnrHO95xXIW37J19hWrtB1cVIzTsixlf/XYMqHMTD4SCMjY4aF9LC4sRSZDDyXroFSFSnjc+WDpI08LvweOxiZQI/wkp9Qr+IZTxv3nexUjswR29I8wzX/EGRnXb9/HKhQG3GCGMDOuFArFN0CtCXOaGpxHjx5ziDfRhZPQKXsDz2jocMSonFAgic5k1YqX1SqwJnYu7p4RpaeGq6fJdfFWMH2zKZmsRM/7bv/3bKR7rtAxrx0khgmlt+EqfFsUznvGMiaG3hkEqzoSKuDdPLMLeO+PrKRAKT0zRd6GslLpgTFpo5Ijo1sJrED9nsWr/zGc+c7K6xdGrt9jCtcDQVqzY/JpLMVVCbutGY4WN8ewLsQIxu8KzQIOeB/L5z39+YmqCIfUrPPdoTMHyHh0Z3VLwCYvfohMuEJqy/+DQAy9JSLTOR2ALpYknExDcft4GwfVzP/dzk8dkTHNufuDUKwWKDkIsPeOHcqAk1LFZnxJvCO/11pl6TrBpZ4xzFm1g5or/KGbCnmJDH/uZ5mXEP05Koaf+1OsVwpURo47Ixr6FoqLMedVw7pWEsBgGDqvgacIU/2wR0j3YvXfkJZ4kdJ0AW1PwGh5mgDCaRjJ3BItCsL7IYoZFrySEzdBm+CjkvIMk5sOGe6+g0fd+7/dOsIV3R+WEAlEp2pBl1YaFPD/96U+fOtb5Zz/72eMFJ/yC8VjkrfWIUCad16IdAb61CC2w9AlnYTZCBpytAs6xSUJACGQpztvD0Vgog5/4iZ+Y3DvCI1aakILx9RQI6zrjF3qrJUJL/JN1DEa1OmvduXteg3ljdWFKc8HCqPst6avCsUmKtoSZfQpekDBIFKO6vXYVRnvvtxYYEKPW8UaB1DhxYFM4xs4CJnR6hTVrMahX8evVre/SByFno1h7gs+CX+OhWawJDWlrzwO/E07ZAE8ftd/RPa+HwNE35V0LfqLYwNeXUzYpFK93D33oQ4dz4qitOmALRa3Fi5LAPwwzfGCMBBTL2H5Lz1DjzVPohBjh3CuEPFhwstm8T2FYCHPCy2Z4rxiv32o41i5sySg253AQsqFgeTFr6dLro75jsJFJ+JaCrwpKH6N+0FPEBu3wVu+AQu2nvWe0ZD+MXKYYal+OljvGjO7mKHt/wuPo531O1aVdrnjQvMNNmH5UTigQjQl/LqnFhWkIRe4sIUMYOWcMqM6r245JbHz6JhTgm3YmkrVGOBHcvrNstxbKymaZ47uEN0Hr6KvB6SMlBMhzvQoRYSgT7STL1gK2SSOoWUC8oMqI8EAX7mFbWCVceN9HjC/kg9nRyEmhrcXCQCNhJ2fVeUcEgtBNTi316GOOHYpAW3tYBL9Nd8/mPaXXNt9yVYfQwtAUGJyqhZ0QVjak086VkYA+2vUEH9jCpowH9apiqnBG95S4cRImFi6eNCcUprP49uZiDASGPil2YUdWv7kVPonlR1k7otoaW2k/uvIwzJFxWDfO41svFjkla/HmiGr12Hkj+APvj4pwZeg4UsTa1vl0T/AJUVtrPAVKzG9f0EssnLefDf/0LXQihKK/UXiKbEh4Bz/sWniCPDfWOsXtOWPINbAZh9a4sTBMeJB4mwyiSEQf2rlO2961ha+Od+aNB4tnbYb39o7SNldtKUJrlVFJXo6Ubw+X+s5WA69RdIPRSQbhc0rNoRxeqLlhrEROMijjETKoR4UhrO3cns4JBQIQtxjjECI2aGhsC4Ygou2cZ6bNTGK1nBAHEdRBTEd6tbNInJzhQmaDvhf/Hg0i7wlXk2NBEMYWCS+ClSak4H2doLTLO+MywfDGSPYkdiksR6EFShZzckFZ2/6ycCkp77mMsUYwTARf3RStOAg3+K2DSRvtk9T67T0LEo2E+wgi8+jsOYXJ4h/tZViIBBor276JMaIppiMwCbbQse2zfaYsbNxbGBgQj6AN5nV1TNb4HCTwXENV+vWNsKo/Yqp9a0Poz20ctjh5JuB51wwjglC4j3IkkOPOs7wzN+nT1QlCoRDKgvK3QIUbjM9aoEwo6bkwVuBV3ITMrC/zI/RrvVg/aI5OWfz2kdIeD6MRXPMuMPMsfKkOwVL3SVJvy9U8EL7oRviKNNRiPvCJ/to4PHz8wSFen72nXQthLZYvzJtwTMa8BNM6xNsUIhlgD7Ty3lL7+l2f+Nx+nHkzNr/lyh5Drdveawt3RrR591uflm5tm7lncsyPGxnUaMOTYQz5LQdDO4c1GCM5DEO54g1zNpoPypUMV0coM6Wl9zkKREWChmazuAhbCLH07Xk4dQIoJdFzuQguv2K/4YYbptMZFi0kaT3CkfW0jxUCvwxCnNPJLhuj0aT5lgHnqi7Bb9JGHkDqzl39itn4MbEJEof1zl80Npw8s8IT3rCITJrx28PpFcI/lu0optlrNxozJhD3JXBZKBZ7W9q2eWbpR5ltOfRAUOewBC8GjUIftGKYoB/h6JlATJ/miEAWoiKke8XcUR5zdXrt7O1ow3KvysmipyB4F/BiDWbOwBEGEM4hPBkMKZSucBgBAGdzWw2q1Fu68v78NsrejNNMwlWOxTqUkbAP/FJ4O3iIpzpSWAS+sYgWrDWUMgftVb8MmwgTVnMtZIA1pb/R6UqhGkaBOq0CqrBG93Ai9MwNGLzXLd5DhYuvrU807J24q3VH95QHfhJKw8f2EcIzoV+vrW9CsGQqepjrKMJe/bXveIW8LN41w493LVpEMcXjZyTFe8S7eAMt8Uqv4K2lOtp1FUgAmjQEp7mziZZNPAtxxMCYlnZHLIsV4VixrBiLeJeFFpzqFRPZ7EUIVuWoCEFQguoRWiNLfNS+vhdOoN1tDPtzL87oj6DRhyOr3rMGssnHA0Iz33s/DtMHzwp9eFVxN2vfS/eVeXNPAFL2+h39NxQjuKEZLzLwRnW9VwfPsKKNP3TKPY8xhwQIRzSr7jGhSdFREPEE2v4S37cgsmjbOr1nG95owBNOyZgIBEYNSxr9o2h9pzTgw8LrCWN7cPEU2t9lBH76G13FrlmH5j//JYp7XhyvtYaGhJhY0Oa0KsIKG02NFf+txaG2z31ta78RTHNYC5rwcn0bHUqx3ilZ658c2KVQouaGokablIqjd+1z6uVq7WefsZ2v1Fm64gljtn8mPB++WOrbgQNepnmliHt7SvpegjPCjzFEIaFxDk8I9ZkbRlzgupKD3vveKwz+/OwiP9Ls1TuhQNJBr6J3CCVuTHvzMnplBENIRjvhnSijXvuld4HvauFHgdSNxtQJLARgQRLM3M59Cua1eWuviMWcP8/5MZrNO++F9Gj7FJaTSWOV9ywonprvrOFYC2m76xUjRIFs3cBkKcGHAlhbjJflg0ahTa5olEMYPFTPVRhoS0Dpc6RkWVm+g9Oj4QhPYSHt/I6kV+yP2ddSp54myu+eeE4JR7bt/dofb9t72qW0/ApGfr8jRBJh4L35JLgIZCGdtjDqtDGONQcxen23MD3bpwHTYYu2ZE5Ge5tOcmlrrVKWWwvPXMgODH1Y98pa3Gt/ZE/2Y0a8UOu394wL46DMGNN1fbd167P1zMgVDeBJ+QHyrmXtuBlzFB2DQyRCSVueLHoKy/YcAXvYeEzodmSogHdCgSwNSIxfLI3FxStZW2hEDIB4W8NXhES7cEME7r99GoQQB+wVbSO0eAhbrNbAS395Hl0Tw6dke8URW8JcKI13VgsGY7kTRDbptxQLaoSj029CfKzreuwafG1Gi5EHmT0rAmKupO9c5+pGifY20bWj5OCLsdv4PSHvYAALrh6Fnusv37j2+ASNe8qZx4M/WclVqQlVmBObjtUTCFwhuwi3XQRS4NQrr1/4zziz8PPdeoiH4ZBDe5TXHDOWLHxwlko7Z+2z9vaL8luP9ncD6lO45IKTf4mzBw768NR5cX68u0sRzsUTDMA5a3gNbBvrhD+hKhy/pVDk+TGwfV2KbU1BC56zUJ+/rYc/1vTR1iH3KG40878dtEpAiNjeDV5xfL8WCoUxZL2IuMwZaucoEBNucVosQgoWMWEibg8Rbg1vogWKSNxrG5NcNcTljnvm/mIAIZGtv7BmMYjjgY2RtXeiyDM3zOKm0EbHecVobS4hRjbvw9yVaKdxT9joh7XbK9xnriuchVTsF4W+FpfJFFfNIuzB6L0zP1xplj4hi/bewYfHF5xYJLWwnigYi4pBgLYYDUPZuzJn9mR6lm6Fs+U+x1AzF21bhyF4PBa5jUnGBxo5lMDdtvDtFWz1Yu0r8DCEFxkb+CW8RHlQLOhkT6NaySxFsWACUPgBP6ORcIEwIxwpHQLWfK4tWS9onTmz3ggXMWy0ty/Szhn41iZFiq9tmFsPxsLr4yEwFvzHo63htYQb2ptr/BdewFMOPKC7MfZOC6GX3xyhEYFjrswZIcUrF4YTvs1JQHisXYPkDDqYG/s+CQkvjYXytF8mTGQ9mEehp3ii9iuNcUvhWedkHDpbc2RT+9eG6K2z9GvOGNFtG8/2MbbOGV5kuOJn8hbdrRmGBx6hJHp7PQxHBzXwihC1Ax2hE1yse3ugjPS21Lm7RX1wb9K5PeKnhAhrxwRCBkAbfqNJtMBMDIVBUAoreeYlWJg9C65Frn3msrOEueUWFrjcWAxJu/IqnDaKJd22dxiAwLYARpt8bZtdn6NAjHlUCGrhAILMxIW+vBJhEjC2FkIHoxC8aM9jMGd++c6KZS3VI9eBT6Gx9CkZyh1tCQsWo3YUM6s6Md602+c6UiDhQ1fjMd8WG55CIzFc+yP2TXY5tWJxOBSCzuAKIxJ2xosGNjWFFlrY8KFkzQ2aEASsM22tEZ4JHiQUWm9giU4UIVpnzqw3x3ctXrxejaLQB0z3hBeBak1aD/BBGx4ueFVYL+GR7zxkdMc74MEHTxGaxi+c1xsjfIR20E//5goPmju09puVXdeeiAHFZQ0nRKa/So/gX6/+LzGRAIoNXzPY8Dllj+YM0K0lpywpM+O0nyecWP+sw/Y/5DSGRErIrFq/3guNbd2fpeDNDX42X+iOd9CMF2uTvF2/oR0ewSvGInSsLTppa5+IIhnJ1dDuHA+EFrNAxHWdbyaoAfeOJuOhjIq4LUVhkTm1QZCKo/tNw66nDViajqIhkIkHF5NjVozhP3GMxRjCVPxYjBQZ4mSDsn4/zXsK0jHBJVddPUfjWDHoa1zoS9lZoL1xzOHJ4jBGignNMaK5I+CEioQ1Wo8RPMzBIDBHhA+6+nNkm6vOaq/zvRWvinPaUpBoNPdfsqtrgatHgMEJrfxnlfZNdi0sfCdmhDQrnfCWRd8qj/TDpbd3RpFJTWDO/MFJGMlY2kWatnNX+zyUSF0vFLl1NDqFFnj6c/KQsKd00Mh884i0RcPQPG2Wrqx2wp/BgYcoVkaO2D0rdzTG9MPydlozNDJ3+JLyWBJEI9xY1BR/4Izqte/9joWMsA6MxZiEMR2i4PUF57bd3HNywuDL+ge3PLunaCr9HeJxjD51XGubvHcisaeg53Ay1xSrsZqvrJXwpb7nijl3mIC8x9PoRImIOI3mu8I7oUAM2kRzi7jjYpssV+4N4btEdJ6J2D7XUayS4DLAbNIsta+I5V4bTASuiYcPN5srPfrtR9q6ilsKN/jrCdFad99749RPFbojmGhFYBGUxkW47VLQB9OZH4oJ7R2VFJYRYhl5i+lLiMQcsWTQ1byZbzzQm6/eu8Bac8181I3hUTtjEpZBI8IJH+xagrcQgRANmqMTHmfpz+GTtvgNHvDBh+6927XgE3xtnaC7uavrBdz03evDN6FKHhuczHeMqV79pXesX+En+ISHyAHe21IJnuYIXdAHT+GjfQp5JAqBzlusc7Ql8K0DYzGmpXlewpNAjSzJFV7Bz7337R4b2giX+ZY6rvXPN3XUDS2X8PHd2hemI0uMFd3JRvDmSu0D75tnbRncWzb4TygQHQZwrnNILH3rwei9W4LTfm9hbH0Gr23T9rHP8xzsuW/79LlP2x5OvXfpY+5b6uS6pe6WNrvADXzXfdufNqzgk2uFP3ff1vfcvtvSvle3wqv3vbqjd/u2035XGHDap207ph6sNe9SJ9clvGq9Foc89+rkXa6pO3dNXdd6P9fGtxN7IKkcAHnOdfQ+3+euFbG5evt+C4657gvvYm+/NM6l7+341tRfU6eFe6Gfg3OuI3xG30fvR3C8X9NmTZ22j1Gb0fu2/ei51773btS+vh+1G72vbS/V+zVjm6sz920tTU4DRu1rCd7QAwFkqXHt6Hzej/DK+1x7OM1969Xf5d356GMXvHZtc5bjaWG3z8E573PN+12uYOwDZ5+2Fd8enN672qbez9X1be57hVPvl9rke6617dz91vpzsNZ8O8v+5mDv+m3NmHapM4fPLvDaNucokLbCpfx81sTr0eZC9NnDo323Fq819dbUafvf5zn95boPrIu17U1lbBlHrqG35/Zdvh2up0eBNTReUycY1br13nfPN2kFEiIcrgcKHChwoMCBAqdPgYMCOX2aHiAeKHCgwIECNwsKHBTIzWKaD4M8UOBAgQMFTp8CBwVy+jQ9QDxQ4ECBAwVuFhQ4KJCbxTQfBnmgwIECBwqcPgUOCuT0aXqAeKDAgQIHCtwsKHBQIDeLaT4M8kCBAwUOFDh9ChwUyOnT9ADxQIEDBQ4UuFlQYJMCaX9IsoVC+7TVzy7t17RZU2fLOLfUPa2+TwvOFtwvdN1dx5x2uc6NY02dufb5dlpwAq+9njX8tr99nvfBdde2a9qtqbPPuOfa7tv3Pu3btu3zHN6+bVIgFdjWjmrbC3EffF1zfyHwuLn1uUTrpe/otabOPnQ9LfinBWefsZxm24t5PD3ceu9Ogx6Bm2sLM+9zbb/3ntu67XOvzcX4blIgFfl63yI8962t23vepf0ubXp9H94tUwCt87dce77GFjhb5nhL3R6Ga9v36rXv8pxr+pt7rt/c12fte8/tu/Rzvq9LeIy+j96vxb+2r/dL7ZfqLn1fgn8a388Chwqz3rf41m/1Xr32uW2b51kPRCpG6Wn9P/ryDtT/j3+pA7kctJNIak0+gSC0dPV/6MtZLY/CGrj+D39pbSVOkS9BW/9//2nlBpF/AY3k4tCHce9S0Bquu+Ilz4X5Gf0lJ0uLm3wCaaOOvzznCi/vd8UNvWWsww81z8iIh9r3+pejYCk5Tju2pWdwpZOtcNu+wZCTAi16tMn7Xrv03/vmnTkPzXMNPLiF/uqNinwvslyirZwyu8xRDz9Z9MA1b1vg6l997fzJVTGH/2hc7XvrjAySr0TOlKQ07uFe2/ouN4Z176+XJ2MJRgsvz2CRb5Eped+76sMc43/4kxfaodXWNLY9+N6hkbTf6I6ve3Rvx4rPzBFcyEft63oY9ZX3xwqkBUwYvvWtbz264YYbpixl0iTKb4xR27oB5orxJJCXXlGmN1nAZBSTwJ6wmmtb4bT3krTIwCaTF7gyH77kJS+ZsviZGKWFTcnIuCdjl/qyq7nK1vWhD31oUixtP1ueJWFBE1nhZIOTXU5mQSlQ1ygS+PpD6ze+8Y1Hb37zmzfnaQ6+EuYYq4x0vT957HtZ4WSZTDvX3AcGvPy9+93vnhiypXFL9/rdAkOL8IIc9u7l8WYIjAo+oTAkWNJe/1KTbs0V38IPXMmkZFsMXIJyrlhY6oYmucrk5t68tUmE5uD5Bhdz0qM5mPW99RS65mouJZKScRJPo630vHJhU9i7FLApAEmFKlzZKa2XJbiEoTSo1oDMhnCS3U4OekJt1yJZEpqQQbJuSpX7mte8Zhr/nMIkUGUmlJ6XzPAni6msmIRkaLkVL0L305/+9JTl1Jr3B66c5iPhS0iTFebIfEVeeH7Pe94zCe6teKS+cZBF+FG2TTSSqvZd73pXF6768JRlUxvy0VxpR5a94Q1vmBK59Wjb0uxYgQQZVwvKZMnNLF2mlKfSbnpGLEqkVyBlMcnTLF+zCUMouYPlI7YQekKsB6u+wwiUmbzs/uAA7r3uda+j7//+758EUk+LY2Z9S9WIOCZO+thrr712ykssVe5owmv/7lvCsSAoJDm2k7r3SU960tHd7373KaewFJZtlrsWBrgsSAtO3ml50lkCuxQC55prrpnGJk/3Xe5ylxN/D3rQg7oWCQV/+9vffvqTFzz3ucJLHmlzSkj2xtDiq47MdFJ03u9+95tyNkfIeb7Pfe4zfRtlGJRRjeCR0xof6V9ObJnutpaKrzmjiPCAnM/GJr91TZNb66cvfIu26IOulb7u5ZCeE66BmSu4+O67vuu7TtC7pX9oL91oW2688cZpbeI/fIe+cmBbE9IlyzS5S5G9Dz/f7W53m9Kkgvt93/d903r5xV/8xaGBoz8ph+X4lqPbGqVEjFEue/cs762FspeuVa5xqXIpD3wBpvSrDNNK18BnfctTr3/8pn9/7uWwl9q4tdB7cAIvV4r/Ax/4wETre9/73hNMwhdff+d3fudkFPAc22K+yKKHPOQhk9wgU6UKx0/yxlMkayIqLVzPMi+SReQz3pYWWWpbcPE7z60dG6PVPH3rt37rsfwiI60Lax8c2TqXyjkKBGPL0Xv55ZdPkwWIzlglBJ33tFvP4pJHF9ImjbdAGFq0rFcMicAGu7WwIrQ3OIs57tb73ve+SWATMhEulVBwl5886T6NQ4pU1pXk9giFqSLNrAAAIABJREFUQbcWjGfCL7vsssnyQBuuLEuJVYkGhIH3KRWvvKNMf/3Xf/3odre73dGtbnWroyuuuGKonNNmdJXrmTDElLFe63XkgVhkL37xiydvzrX+8RzlWQZXXmmW15pirBYoGmBklg6jRPiB92EeKXF1enRRn+GC+eFz5ZVXTjh86Utf6tZfg5M6n/3sZye4lBO4V1111QRXCt+58tGPfnRSYBZ/pWnuGTd1PWRMufZg4yGWXugt37q/PKM9YwnteQApYPLEzAf6woHCxdvylqO396zauf4Dr14JGu3xI9zwM7iZDwqNVduzTHmKFL15Y51bowxN+eLhygBg7S6VirNwD342T4yRL37xi5MS4pmKPljDD33oQ7ueqfSulIU/hiQPCP995CMfmYQm4U8utKX23/vG06csKIMPfvCDE0zjxNeMLO8p4baQe4xr+eF5C+jKcOGVkEPGglZbCyOMsr71rW89ySLyDWxjy3uKPVGawDc/nIT3v//9U7pfbdDnk5/85MQDkSVteu6WPucoEB0bEMITirVgMEqANYapamGBsPQNhGCvBfIvfelLp8VACdHiawsLHVNSXBRRHYBF+MpXvnKCSyi0FgWB1+tL+ITmRSQErKXCr+/rvdAMy+FOd7rTOS6isbIGwCaca2lhU3CsVxYRxjPGkXdX4fTuf+mXfmnq81d/9VenMcPDH5rkmnYVD4JPLmbWT/snjvqYxzxmEgxCGLVdYPWu6EupW/iUfy2Ej3nEJxRJL2e28JXwjOuXv/zliR/RkwLZp3z1q1+drCrjwss8PnCjQEbjo0DUY1iFnqEva7PluzU46svibGmeZ2MlkHgY1RLULnPNwxcyrsW6JMi//du/fYpt129z9+AK0xH0vHvrrhbKl1y4//3vP8XXW1qxwtFICK0tlJlvPKUtheBnpDFi0KUWfPOIRzxigksxVXxELKxBY6EIa9RDpOJNb3rTZLCpo+7aYq7R3Fhe+9rXnti7wNcMCYbgE57whBPRB7iFX9q+7OVQgmAKy2Ucubb12+ePfexjk/LhJQqT1SL0ynPjrbVeNr6x3xFjIP25CsUxZv1RSHPlhAIBjGVtMPYaekVoxnduUp0YWpdQIAh78W3WzNVXX3103XXXTYu3hZ0BtO9ZEixQC6m3r0CzWzCIRNisLaxJ4/jwhz+8tslxPRNlLARQLy7P7ce8cxYFIcZNRA9M8AM/8APTYtlXgfC4TqsQBmjLUmkF1Vwff/mXfzmNn5XXayfc45vF9vGPf3wO1BGhT3CZq30VSO0IL7UKpH6v9/FAXvjCF9bXw/sRLw8bNB8oJF6yBfz617/+hBHEUKNY0K7HXwSicDH+28LblBmFrp3oQVsITzxqHlqjS11hpdF6Yp37RrZsKVFKaNArvGpwRTyqB4hPeFHmtxc2s2bJC7zNe1tbWOh40Z/91bYweKxnBvaSUVJ5hMI2DspuqdR2+IRS1rbn3alrD9t3Hm1tO9ePQ0e8WO1ElebKCQVisbMwNDTpvfKnf/qnE5PRbNUqEB/VzoB6iNoPYG2rsyQ0ar80vTYs4R5cC8aCUsfG6FxJewxEIZlsWnprwawUEOvIPorNwxRMljhrfZ/vrnDmVlKMrA6eksVJKOyrQN7xjnfUrna+F3J6wAMeMLnrlHRoNwcwdXgrBJH9qbo3le9gPPrRj57mTNhmrlwsCgR/zSmQOrZ6Pze29lvaMZrEs1neLQ8J3/BUhQCd/usVh0Tga0N1bSHwKCxhqp5RBA6eBVdoJLgGPoXnm/2TqugpPLF1+NqvmCsVpsgB/gFTqKiW1IOzNWgdCVHl/Tvf+c6pnfa9CIR3sfqFkNcWIVd8LWLAo2gLgzohX+GqNYUxJaqD7gyvLQVv2INDg144DixREDjzUHp7M73+hLPgg/b2bubKpEBCeBY87UmQjVwXE2XCMLFYnsJzedzjHjd1KDaZErh5FoqCFKWwtthA1MYph1GJMBLOavv0TIgR0kJPXDkLzJ4Ky6bHCC2M9Jv3rhQsGKwcuNlL4WXZHKPQelYcONqyaLW7/vrrJwHhHYauCiR9pe+l6+te97qJTuLllLz5I3y3wlEfoxHsPEohsbi5SzjkOwVizsTwwerhYOzq4Ju5cjEoEHHz4CpEJA5OyFblODeGLd+EE20W4w97Gm2JQGDojcIvjAj4jgRdC9Mzb0Ubxk+15mtdAlQdnkq7H8ZwclCDXGBEiqULgbOMbaxTMO2hkgq7vUfbKBCnuHpFn/ojIPF8ijUAz56iw4v+rFN1nEBaW5wg1Eboa1Ri8dvsb4t+eQ3WBOObonXggbFAbo7o3sLJM5lDeZDZo5OEiQZQ4G2IK3DaK6VKFpk3kZK5csID+cIXvjARyKS0+x8Bwk2Le2NDSKHRnQAxkeKLo8ISMQE24dcUGh1TaiPu2ysmJSEjYbVafDNRNqq0J+h5Mqx9VkpCbeql1Pu8q9d8N9msDG4whSoc5bQI5SEk1VNM4NjsZ9kTrolLgkmBoJ/NrfRR+1265/7CwykwNKNULQ7Cb+6EUIWbflkdXHwKn9JV8q1Xv75zT8CyZrn6MTJqHUJS2MG88uTmFNRZKRAxdEIaDgk3VBzrvQ1i47HQWXJOJOJhAjULrEefCmN0X9vhd3ypL+GenoKIR26Oawi5ws+eDV5Y2gRNO4IeLSidOh8VP+EMddAhfKG9OtrwMCg2fIzHnfAjhHjZa3kw+IDHg9KfUBYZU3FRjxGnL3WMOcUa934UhlfPYQXtrJO1JcasdRVccg2MeGlOiLXFASXKnSyiMCha8+iI8hrh3vZlr8IY7MXW+Ui/6gvRkecUjWhLCyN1XX1z6MnaJEvafZ5aN/cnFMhf/MVfTIR3IsAmY69YeDaQTZDz1AprJGGkt73tbcfNWmQJeAO2EbWm0NTcO20ogVGJ1u8ddySACHeCyukJAp+ys5GbxT+Cm/cZR67e22S02AlJG5b2ROApTCeU1i5cbcTdxTsJLoI98CyWKJBdQ1j2oOxPveIVr5gUh0WkHxalMFsYLH1mbLnmPRwJSC5s5retk+dc09az+xx8QA9WWzwhQsC9BSNG7bsFNBJY4F0MCsQiDG2Nx8J30o4HStCPQj6hz9or754Ato/YU7xoGwHlwMqoCBGj7Uiw9NrxEKxp81Hns9Z1ugpc1my7H0mZkR/kgKPElIy6ZAmBuWV/Mn3a48EnwjQ8DAoVr7iyvglplrJ+6uZ9Ih0O7oyKdaJdS8d27PU5+zx+VzIqTouFjm0dMoHn7VQaOpEdrjbfRx5EC6M+kyH6Eoqvhx4qzokYGWsMpfq9wuM0UPqUB+XNWWhL2/aEAuHu6IgFNFoU4m6sU/Vywoag59Z6J+QxKjwFdSA5KhVB7l4sVccVlfo9MPz4BVzCuS3cZidIMD/BjpnFKVlGhMEazd/CpDBNuo1gwkS4ioBhdWFoTMETq5Oqjb65m6wfpy+46f4IVhufxmDCPVeh2vbfewafV4RJzRHvBs0sZMqAsgvtcm3hwIVXZf5Zfb3fyIzatrAsePSgxIQUnMRhfbl3SuV7vud7pvFa7HPlYlAgvEn7g/4YUBQKA4SwRyvCCK/uU9CaZUsg1NM4gRm6MwbU4UWPih+H4iWGHm9vTSH4tKkKJH2mvfWuDgXSehSiEYwgBp/fSQiD2A8hjAg4pyTF1rcU68e+EyViffCyweYtEcRCSTHcrMHgm9NZ1tmooKOxUCBpN6qb9wmVO43Xa+Nd9oLQoi145HOf+9wki0QpnHoDkzHioMoo6hM4bZ/xNNE3Bmtbh9eBR8klx6BHRTiNfCYrzFXvkECv7QkFYmFwdbg8BFmvOPrFisfEOV7I+ogAFIvvFQMjbE3anGtZ22pjgrURK2yJk+ecYvC7gbmiPoXCUhJCQti5kFsLK/1pbxOeu2/fQ3Eem0uJse0dsJqql8FiIswtKCciLDBn6gl2f6w246SIfGORpL8Wj7XPFIqwHbiEuQU5B5P7SikKUY425db2bbGwhP14C60pDJaXuDTlkhM2YtG1tPhdDAqk4pd746NsLUzzOvLYU3/pytpGd16yNdbSIe3xq/nkRVP4vWLTWR3eZ/7Lj9QbwWUQacMQZMD0SkJGDtBEYKnHYPH7ERY1oQYvStfvoCgAisyaIHh7Ybn0Fdxy9V6UgEKlFHj65AzPwzoRauXhmAOHC1IoFmNhrIyKnxOoY73WUvuu9+rkCC+DVWm/e5f1trS3py6jj1yw12MMPKZRWHLqsPnHfpwx4BuGTa/YlgAbnUZKgWciesNj5eHiv7XlhAKxWFkXlMPoREBOPrCkc0QOIXkVBsOq7xVMhVBgY9Ye8XvtaGZwacW2gIHgtL068VJ69dp3+f2ImPZov6Jt41mfic2yINrixFIOFFB+seJtLJtoFrnfoBDU/oS8XC0wtBG3tvB5TPsWuLJ4MBDFZX9lVDAzBYyOhDuvct/Ci7LRySK2X8DqEqLDCzEMescPa78XqwKBIyWfUFz2Ayvua+9Z8wSk+R8ZYGCZTz+kNUfCXL0j0uo5HKIOT3ukZFrcGD/hv3q6MvX0TWGCS4hToN75s0ekrdAnPqqFYGP84W/8b31sLQwf8shGv3UkouB0l98K6Zfgq5EE+wvwtCfZluAcY3YuzNW2TdhLeHhUss87koO9djn0YE5H/ztDrx3vwrr2NzL44zXycnreKKfBjzXJfT9GbkOT6RfdeuWEAiE0IoxZwb2S0xos2ghH9ZyUCNP2LBiLhKvFu9li3cIDXHhh2rYgilg0z2ntIkYMZ9nB1XbLpBkzi1rb9seUwY077TvhkjgiF9E+jkXIiqx/hAbX0Rgwv29zwj791OtogqPwLbQ5F9acYCI//ls6ulf7nbsf4SQ8yirVV/21fgtL+4tZgVTcls7Lt2Orz37PQMBa5MI8oVuuqeuZAma8Cd30LEp1YinPhXACM9cc3WSp1qPtFYcYTjyJWmJ1t+9Th3C3zqyJ0c8DUnd0rXikjpAWmAR6NQKjZK3TKqPSThTCN2uiPfpf+6n32lKyjDFeYuvZ+c67SsjdjyDXFh45XER2snXQ9t2DRYnCRdt2vzL1GdVoZB+49W54zaI3IjEM6lYOwmEJjxMKRKeZFIBbRQCBHH+jjWux6UcA2R+JZ1K/C2cQkH6hzMJZQixtaVYWBuulJ1RZ6hafeHQ2itN27poYKG+gxwyjtpjPpJkUVnUtGVMOI8CZe6+gHSZv/yhtE2eBGQc6qrN1D0Qf6b/iFIWPOUeuKcWceRVmCj168CrsXe7BtE+G6YUi0LOWtk/0ExpBbyG2lLZe3i9d046lha/AnVOsc/D8XsOc4WvW8C7F3POC4eEwSLvIW5gEor0F9e0rtcW4eLQUAUt9bcGHBDG4LOK2MACtFdZuazgJSWsndIRvQ+PA4CnZczTnhLvS1kndtVeeDboRfq2w9vsYIWZKVginLU4J+mbNtb+lmcOLIuQloG1vvu07Uu5Cmj0ZCI/Az9U7B4/Qj1EVedHiXOvnm3c29LX10wTPtR6FhlfQvf2BMU+R98Wgp1z8eLBXKrze92MFkoo2coRVKAIMGIZ2ddKHFyHM0rqiGDCb2ZRL3UCm6YR1IMsC31IIt/w63oBp3RTxUa6oBUzTZgz57uQHwmQM3oPH6hVPRXiw23Zp37sKCYjja8tlRy/tA8MCZon5bkG2Ln0Ppr0KDE8Y9ZRkr037Dl0o/ODhykLFHHCxWTeKP7M+I0x7Ybm2r6VnfTMSsucSnNBCSM0hA3tELLpeMQ5KDF1qmEi8mMLxreeN9mDVd+CCCQZLj8GDNoRB4FZLNm2NA3/XgvfC77zxdlO51p27Z32ad3+tYB61EzLivfHK68a0sVkH1gPeq2twBCtz47tQIwFoIz186DvaCDtbv04i1f0P7Wxss8x5UGREpZW29gIJbLJjyylD84Wu5rriaY3ZF0Ez4Zccx88YrXcWNcHpuHUN3WjLk/JNvL/KhrQfXSlH4ThjBQOsFDgIs+Mn+z5t6BC/+DMmxXj0LYSUqI+Q21a+piApLIrNfeikH8o6p0RjPOa7iINwOjo4FUnh4SXrLVf3PQ8uY3Y9ViB5iUjCRrShkx6sHO6Rq5iqTt/ylrccEygIaS9MY5/DgJzq4HVwEU0iBuLVjDRd+u9dWZ6ITOg45QCueLpTK+A61VNjoIHBm6IgnJgRVtKOJib4TbSN3Z6FkvajazbhWWNOLojLopENRBYB5ctFJhAqfcBrn71joRmbyUwss1dvhI+6QogsGeP0Iy4/OKPoWGi8vrlfAefHaermP6Uc9bX2Pc+HIYE2FIU/fMPDIUiE7UbMyQszz/7QE53NFwvdO4t4Sxg0OAvNBK6wC0sSXMIg781tW1i4wop4zjwbG2EhRGnh+p75yrWFMXqOscEa7nnQPXgEuP7xvqPx1hj62vuAj/mmqHttR3h4jw+tF8oJXws3Ga99Koc8KH5GZQvX2qOwKC57WzxMa40AswYp2MTYtwhIRhFhTHmhvXg+nOwvWGP66nkCxsJ4ZH3rV1jYuqAgwRMu9o2AbMcyRx91GcOUKBhChGCCrQ99kZG90KIwpTkjf4zFfJFLlAa6oe1c6FjfPVwZPOYdPuYAL5ozXqT/bZdhSsG3baNgyRzGpR8+4qX8iUi4X5IH5ygQBGS5WDCUgdAQV9EAXWmraPQWKcqH0EQUG8FOijjWx6OxGb6ETG/yQjjEdWIicJ0WAdcgRyEIRBJuUs+JKYxsgXl2OghDwnlrMWkYmffDNefaG6uFK3zgRIPvrTUbeuWafllpwjlgjFzf1B1dKQt9ozfFaN6M06YeBh/hAh4BgTYWVcJXo37Wvsc/aE+RwsfY3Ft8lF1PWIKNNqxy9S0AV3Fl8wcOHnTt/X9MS7jZI2vhgg2evlwt9LYQDuY5tOW9EqgMF3iw/LcW42SB8mLg4ADDFl7k+TpJhMbWAvzNNyFCQLUW8Fr8CFUhKfwDLproA1w8HQu6hed/PqCIrQFrLHOGJ53QIjeqxd6ugRaeZ+E9Bof1lTGaA3xEnvB22lLhUi7WORyMA4+7t0c0UjwtvN6zE19ggIUvjdW9tSas2St4PmtSG39kGT6KvKieWx1HD159h64MdmNEm8htDgCFFf6sMCmdzJGrP/Rp/5YMta4CgZxOLWQhJ//PlQ1gz6OTHxkQJLllPBaWIksT48WFSr1drsJm9h1Yi04MsPjnBC7PhXXGguHyOvqHkYUAYulvxSOTYIEaJwvbGCkrv/NgnfLE1rjGgaUu4Uah7SrAWYbmCG3Ml3Eau1NQS4LJRrtjpE66BKetdKn1wRCqELoQUoET+ps74UOhrLl+WLS8qPyxqODHasu7pTPzFZ/ciy+nvSu4/uq7nvUodMaqDm1Z1X64xiDaYlEHj1zRgKdgbHhpTal0QyfKwlqw1li04vC7Ko/ABpf3gJ/BFZGgIFq4qR+8hQUdJhAGxYPoRSETQuHrtk3a9q5oy3PWvzGCBzaDqCdPerCtcx42AYsHrdctYbSKV4UPhuPSFa6+ap3aVlgITfGRX3iTF4S4NbJWXlR4bT+ULV627sk5/eAtYeu2Lji8fHyXNeCaZ9f8zSl9cIcKJMiaRMqkLpQeQqmfK6EF+QxAmzXt0n50BVfoY83eQmDAHR7G0VriqeO6Bb9aFy4WSHCq33aFX9utvTdO3kw7X3VsI9zW9rFUr4WP3vBB/yVFtgT7rL+3uNf+WN7GYJ7neKi2Oav7Fk98Z02cNn3BxU9rjKE61sgMOG1tW+HkHgy4zK3f0CTXtHX1Di7mb99S4a+BW+vr21jCR9Xj2BevtMebxrqk7NVvcQuM0ft8r9ehAgFkC6AtdSsCu9xv6avWrfen1e++MHfB4yzanPU4evB7785ibDdFmD3a9d5dbGPfB8d92qLDvu3PNy0vRnxbnIYK5HwT69DfgQIHChwocKDApUWBgwK5tObrgO2BAgcKHChw0VDgoEAumqk4IHKgwIECBwpcWhQ4KJBLa74O2B4ocKDAgQIXDQUOCuSimYoDIgcKHChwoMClRYGDArm05uuA7YECBwocKHDRUOCgQC6aqTggcqDAgQIHClxaFDgokEtrvg7YHihwoMCBAhcNBS56BdL+cOWiodwMIucb5/Pd38zQN3+quNf7zYDOc4OzwPWsYe4K/6za7Qq3TvVpwKjw1t7v02+vbe/dWlwuZL1jBZIB5LoGqbbu0jOYbZ01/ZzvOpcCjiOazOG+9ttcvVG/eb9PWzDWtF9TJ/jU69p2a+tV2PX+QrevuPTu5/Cb+9aDtfZdhVvv17a/mOrN4T/3bWkMu7bVbtR29H4Olx68EZxjBTIHMN9GQPL9rK9L/S99P2v8An8Oj7lvab/rdQ52vuWqj3rfe94Vj9oufbTXWmfpPm3beqP3bb32Oe1y9b3et/VHz7u0GcG6GN9fDOODwwiP0fuLkZYXG06nRbtzFEgFXO9bAvjW+957l7b5lmveb7mubave2rpL/bdw8pxrr339Vu97dUfvdmk312bXbyP8zuJ9cMx13z4qnHpf4Y7e1zqj+9q23o/q995rlz/f18JZW6/X59y7Crfe99osfc941tTrwT+Nd+k71+C0K+wKZwuMte3W1tvS91LdXfs8R4HMdbRrJ3Mwz+rb+cS19uW+Pi+Nb0vdLbBauHnOdQnWrt/B7/XRe9f2kTq55rvn9l2+bb1WOPW+whm9X1MnbXOtbXr3a+v12l5M73rj6L07a5z1eSH6zbj27Xvf9vAIjFyDW732vnnXe1/btffnKJAAqNfca+w+z7m2QPPsv5ceJaAJrNTdcgW3919XL+GzpY9d6+6Cg/96uTeeXXGo7XbBJ+23tl1bf65e+w3/1Hf1Pnjueg3dt8LULm1y3RUH7SoMsP3tUyq8XeDU9v778bk1XOGnXa71W3u/pk7bJs/7tD1NGGCNZJFv8Ky41uf2ffDa5VphmS9/bal12m/1Ge/12tc69f4cBSIboaQ/c38ycvmePNAtchL3/Mmf/MmUTEYmLklcJDep+cwrEmvv/+M//mNKlfmud71rSp6jj+DQg/GVr3xldhwZo/H4P/R3KfJDSJ8pGZPkPvIn9EpLI1kd0US6STSSNEeiK5nS5BNfWwLXWP/qr/7qKHOTa8b4d3/3d+cwdPoAw0IwPxLlSOIjeVhgp94uV3ClYJVjG1xzNgdX3gcJriQNkoAqtJGMR0KxtcJshKv24EhyJgUwXjJv0t3OCW7fJP6RxEyWN4mSjOW///u/R13NjrM2wnuSVklGBvY73/nOKWGV9Lpf/epXa9XpXlrVzOvcFUz03FrMj4RdkkNJUmUOZF6UZEiSttBpbh71aW3gQ8mods19sTRWcxI8cp0bL/zRrEfXuXbtN6m50QN9rF1JyazBikN7n757c2bt9pJktf22z3KvSKpnbZEl4WmpdiW4sv4qHm17z5IE6l+CrLSX6IpMm+Nvbc9RIASNnOFr/hAwJUhanM9//vOn1KFSf0pFKZWj9Iqyd1ECuxS5y+VWB09aS6kzpfGUl7iXRU4fFNfSOKRxVWcus2EPX6k/5R+W/Us+YWk74bVEcLAw0i/8wi9MOZ3RSBpJV+koH/nIRx59+tOf7nU5+25prFJ7VuGb+QLUAicQ0VKqTikxf/RHf3S2vzUfZceTmfKlL33p0Y//+I8fPehBD5rSwGLqUSHIH//4xx/PMZpKqYqHpBAmZHdN6ESIURxSiOIfvITuUqZKR0qBW5C1oJMEQDIQaqeN9J/mCv/JrW4+dy3/+Z//OWVtfNSjHjXhhBfgJoV0UpK2sAmsJb72HUzZBbcUNKK85URHe/i4wse40YmRuVTMsUyAUhg/9rGPPWJUKpXvlmD4TkD3xgqu91LbroWJt/C1Nc9o2LWAQ8ZJSxs+QicphucyS8rl3htL3skourXI9kj+WLORjUklbc0xAuq6b+GTe7I9oomxVFkk5zy5MldOKBATYdFD5sEPfvCJv4c85CHHz1dfffXRLW5xi0ljVeAsZwLotre97TSxErvTilJJIvY111wzKZFYMLXt3L1BYkKJ4yWmf9/73jcxljzg+rrhhhumHNthpFxZsIRWxlLH4B2cbnWrWx1dfvnlm1Pcgo3g8hCDix7wy0IZjcdYTKy6T37yk4/e8pa3THRkCUtz6R1BtrWgMRwIxMc97nHn/D3taU87RzimD4ytnXl3veUtbzkJr3xfcw3Nc9XmBS94wQRPHnPMDT991DotbFYzBULBssTxDxpdf/310zxZHDyUXYq0wRQR4S/lKgFHGOOp29/+9pOQxP9toXT0i1+keWWpscrlRL/yyiuP8OHSvLcwPfNCKaBrr712WsBy0xsv3pL2lBCX9rQt0pVWvg5/50rQm8Pb3OY2R9LM1jJHe0JfGmR8La+5+YMLnAg3AvKJT3zihHeF2bvneaC1Oa94zPXfgyMfvbFQYvgCb+fqnlE5Z5AEJtlE2cDH3y7CGizz/JSnPGWSZT/1Uz81ySFGktz2t7vd7ab1yyhIyXjhiPf1TTDXNZrxSL29tUhhC641jCfrern1rW890W2Up91YnvnMZ068T75KP609pS2VMVluDc6VEwpERUx94403dv+4SSxVQvue97znFAqowD/zmc8cXXHFFUc//MM/PFn0mVipKLn+vkkkv8aCCVza8+Uvf/nERE9/+tMnN9E3EyMswhLBoCYxk5W2XEI4G4+c4bnPM8sYc5rQGjZq4QRefQ8Ggn/84x+frFOMQRCMBIm2LGd9XnbZZZMlxHKNxYtWXEnvuMJbC0EDB4L3i1/84ok/ubvBhUMdgz48m1Ouq5AMWoPDo9qngEvRBy6GBJeybXGo/Xz961+fco3jkcRi0UgOZ4IfDDnotxawLAgGg0WB1gq6W/AUN15oYZsLApnCJ1wTomQEoTPlyACx+OfGVfFVzx+6M6oIACEEnk6+CWvJo92gCaHjAAAgAElEQVTzrr2vvBx+zvW5z33uNBZCQRhpbdEX5UGZUqxf+9rXjpviXd61Mc+Fo+CPZgSk9YBu5IVQ1C4FP2fOGQ6Vt/H1P/3TPy2CJUMoXYbvN3/zN0/wGCVbi7FpRzAbnyiEd4rxMSTwAiMjvJs+8NlDH/rQqW9eQcZRx7RLdObzn//8FG42NzHMjVckKIYtRdfi45n8YgA94hGPmIyyhDvhiv/I16XIzC3CsAYaYmTQ7dVCJmAIbNZSXKO0k/DeZLOqUvKNYKWhr7vuuhPCOvVGVwP4pm/6pqkt6zDwUp+7bdIe+MAHHkksv7ZIFo8J7nKXu0yCM+1a+HnfXi32LCRuq3GPFEhgEoJ3vvOdj+54xztOMe8WZuq179c8E3xwsPBTWnjtc+pR8GE+nhA4WxVIDzZhC65vLBtwLaJe3TXveFFgCB9sLXhXqIoCsbjaQjCAjb9rEQumWISTzHlbWOhg8rAq//XGU9vau9OGMBKWO60iZPXwhz/86G53u9uRPZS1Bb6UvLEKFeKJtaWOlRDiSZMRL3rRiyalT0lGgdS6a+BHgTBAlVH7ufd//ud/PnlUeJq3aZ63KJDANmdCeQxhxlZbWPrGyntrQ4dVgfSMghbW2ues21o/+PJOjPXe9773ifn0ndHk/VVXXXX0x3/8x8d0TVvw6n2FX++PPZBUzjWVPOcdC4fAZfX3Nq+FBCBsoloC2pCh7TBnrO70MXcVLgBTvDkCu9ZnJVEwlIgN6ODaXrXJO9r3zW9+8+QJvOxlL5vg5luFPbpv67Im4HiHO9xh1gOh8S1QGr9OfAtv1O/cex4I2Esu5wgGHPzZxM0cjuouvc94clWfNwLukgcyB1sYCwyh0a2FsaNvNOIVxfgBx1wQLIQ567AWYRx9Ct/U8aQOL5fFjv94EWsKOAQQT/Qe97jHFH7VrsKv90swU9c4GBJwEdKsPNbCb2E66JDwZYR1W2fNs/Drne50pynMJHwmxEuZRIGsgVHrRIHYg8o48719zvtcfXfAhULleYhC8ETM5xYFEngOlpgzCqIaC/nOYOLBMSgc+qhlpEDgmHHkWtvtc2/N4Xdjj8cdePZv0UFocIuXmva5HiuQvBhdCWqbchSIiegVJzdoaIrihS984RR2IKwtMhuQNN6obeC1RIzFwA3rFfAjGNYyBY8BLkITSycf6gS3/QfXKJDqgeRb2mAgHo9Ji5XL7XQ4gOXiNMk+p9TigbzhDW+Y4CQckv5dW5zqt9yfhgIJrFz1y1I39jUKpMWTsEcjwtY+hBDOLoXiYD2KzdscFC4jZB0GYYQIYwnh1mKDEt4jr8fCvPvd7z7VETteW+zBgPvoRz96CqMJoeJL4xTW4CErLS1G8NWzfwQXNN4aBuUdo421K3SB5tYzo4xiFK6pSreHFx42P2SAPRBr0xpj5e6rQBgN1kfPC+zRBH4Eo3kTuhIxgU88TQbk1pJ9RhvOGb9r7sHDQ+aV91VLVSBOYRlLz5CusGr70X2tn3tXf8YOFwq09uWbvQ/fePWKtUCOMfRda/hy1Lf35yiQdF4bIbwYL+1LMYxOwViMLAWWDKuDxej4HyUgVux+1Db96T8F0VnrBuq0Uy2p55pJYyX2Sur6hqlspmHq0wodiMXCsSqQiof+WScEF4vAZpfwglj1Yx7zmGmCeWaEisnbpThJAfbDHvawiXl5JI7ytcK20qLtx7fTViDpb4sCwUeEKSFkX43wQB8K+FOf+tSqTdN2bJ6FUZ/znOdM4VAGBEVu70x4yv6IPttiE9fcmifroC0E/Td+4zd2eTR1Q4M8uxoPuPDBP3CxKc97t3fB82Fs9fqscNyDTyA5YWTPQVh3a9EGPkLM9hWEMm3iE5b+CBoWLUHTKwSOPQDemEiEtWuts3D3USChv9OJhDJFgK9Hhl9orX/yBj7wgrdvNs+Nc+2GdeAZMxpYY4yKUTFv6jhsUAt8HHzQN15z4hEO+DvRnPSVa22/9d4c2m/mVbceO1zwPFzIHIYHfKwvysamvr1a+ytLuJyjQCDaNhIzhowYciuQ2oFhZN4CIvoTi2XZWCg9t69tX59ZPCwaAxX+GRWb6+pQJEvFRqg4JY9o7WZ+S4+2j54H0tZh2XLt4Yk+hAQFSyFjOoLDQjOJazYGW/gWC6agQLjR3FYKC9NzvdcIIjAxGxzhszTuFoe55y0KhJVpTh1vFLrk9eI9gqlaUnP9td8yFhY+K12YAb0Jf/CFrlKntuWd4F+C1RH3WvAnr8N3NDOXKS2s+uw+woRicjSWJ8JiBMMCxqP2i8Tv1xS0MR7CkrGytVCkxoAeDBvz74QToe2EEZrhKRvErRdgTqxPRqP9z+yfUCCOhe6jQHiNDrnga4YpT9FhCkag31ERhr1CKPKEhNB4VylvetObJrm0NlqRdq7WLBo58TQqr3rVq6Y65q4Wc86QRlen5ZzqQ2uGNWG9y5qv8Ou9/Q1Kjvx1fL892GNeckKODCILGS/kEP4TaTKXlLYj/nOlq0BqAxa7xcz7ED+cKxgLI5o0ix/BxAsR3UkTkxfXfA5OvsWC0X7u2B1GVwch5oqYrAkjyDHfaZU1CkS4yh4JPDEOzY+xhS5YR85zE5a+86S2CkqxXmPi2TgZxkXH8OaNsLKg1pTT9kDS5xYFYiOWpckqslgxN6VI0FKUbTw3fSxdGT/gOUHIhUcf4Q2HOwhe1mC7b8Doyd4LA8VRYJugwkwOLLDYWP3mzX7amkKZC+1ow0LGv7wtfKA//JQ+rSNG2VwRakKfu971rosLfgQnewMEB37xOwmCSN/CT7xmp6kcAmk35+3nUC6UYPUMMk4KJCE1grQq0xE+eW/OhFUoUkreQR00YQAwmFqlrp39VzwDJz/wqyUhLOPZWvRrzgjaUUmYCw1rMWY8Y53zLO0VkQH4QNjQ0WAyYt+C/gnb4aHegRFy+l73utc0FvNpPHBj5JJHeDFjtebmDJJJgcxNKIvdAqMUWk3WDhbTiVOzGMT5MKBYM6sakZw+ctJjza++4WQxE/gmjUAZFa62Oq6jQiCbMFqZRdXbkB+1XXq/RoFwU4W44Eno9GKMhKOFwSK2CObmZQ4n7ShfTKGv0Ma7JZjnQ4G0uLc4eWbF8hAZHIQEd58VTPjjqbZNC7N9JggJaryMD/Am+giNslTxBV6LYVHhR6AzPFiWlA2edpiEYXPf+953ovGcl1zxYTU7NWhehNJ6Xr3wAYHNu3GvVJwCDx8TAGA973nPO7FPkTprrpl3BkdvL4fSdjxfP7HA4eOUJJrwmMAgsPInJMhztPYdwPF+rdff4pyxGy8BFw/uWc961okx+84LELoR0sM7wYfBlpAYZe/9lr2ZhB2f/exnt+gdP2fTX+h9qaAFpcirgi8ja5/if5FgtJMzPBB7Ur1CgYgomUshRmuhLU5mmTfzWj24tt6sB+Ln/twtpzp6TFWB0VwWoA51nsIKsVBNtMVAibAowhCp59q+88ydN1DW6KgIA6gzZwFSaCx//S+5ZaN+6vvg6rpGgViA8cYIsFoCixeBfoTZWo+hwqn3gekUG6XE0ljz3zdEkHC19ynpPzC2nMJq24LB6DC/5pmntsULAc9CZQlTqIk5g0uxMHwi0PFS71SKRURZ8FwsTq4+T89/acHShdfS3kMdVyw8/N0rFjnFBi7ajQqPyNwKsbUCo/Y3ap/3Tl7hOzSyYd4rOajB8k/oiNGjHU9O3F8UwB9h65nCxn+Urfe9H2r2+vKuxb8+O22INmhf59N88MR8E/XgNQYnCkUYzDdXFrqjrikVft7VK8WhrT2MUUk0hJExKrUf8lGYGVy8UL+N2vfe+29LwBHlYFCM5lBbhnn4XXSpV8hz2w/wwuejMlQgBsZdpDy4xyzBucE5qcF6odkSA019V+Gj7GfMCfoWUWfKDQJDghOYqSfcAT91HE3rFS6YX3+rg8hbvY/0mas+6v0aBYKe8QbaAwHBmVdCGMDT6ZfTKHAzLxZxz92vfRhT9kDg2pY65vbb3LN2CWExSCJ85tr0vhGWaEPILf3AqW2fhU0IZhy5wseBCgYOQVj/a5LUAY8HJxSjbwtMYcUK+whFsQCXSuCx4o1FqCXv2itaqWNDW8n39EGJak+AM9Da8FvqLV3BZWDhEWPpeURgZJ8EXulLhAIO/gjA3FMeQlosa/zHe/HuNIw3uAgFoQ34QngpFAiFETzqVf88WO3so3ju/dI/sNpr1gbvJ+PPnLjio3hpTkPWUuu17/MjYEptTeg6sAKHF2Vf1bqwZ1V/QpG6uaYNJYgOojG9Qkbmh7u9//Yl8I4VSF4EmF9Fcj91YtEtFScj1LU5Q6i38LQ3SHXmTjG0/fjFLSUmTNCLBdO8XH2a132vcJ9ZQlwy8PYpvXHxsIwrvwPp1fEu7i0GDwNWXNAcnhjBUcp9SnAQOyYY0HDOFU1fNi2NZeSBBG7qr71GgeQYbwtn6Vk/YsdwI+TWCGttAtdJIm0TZsr71KEY0F6dhIwyNnVr/bx3BY8At/G4xTCJxW+RUgQt/CxgsOv/OVf7ZhlSePh/7W9Qavt6z4oXfjb++sOyWodQhE89rKIdI4Vx4s+JMqErV5GG8LODHL4L27RjrX24X/qujr0NuLbGBCXPEwsuwcczvLK3JJTlect/9QKGCIEoRv3VePClvISjyBmHNdqSernmezxrBnYUSFtH3d47xrFNeMYPIzt7TYFdr7W9PSBzyRjoyWu/C+LdUf5zvHWsQFoE4yKKpy2dEIAYi0BnLDHWTFuEBezqm3T7IGsKuJQGjY9A7Y9zCOG41dzT3gJm+dsbQSwhtoQ+KjHX4DJXB8MaF8ayETWCjS42XIXSMGMt2vi1NjyFCOY2rmq73Nc+c48Zo7R4hqMjmBWGjWFj6XkgqbfLNT8ybU+ntLDqbw3yzXjMLesKbkKB7e81Und0jfFCefd4wN5HPAmb5KHhCJ73/lM93i+hIny1pk3gEUA2MikAxldbLFrC176Pui1sgtJYMlfZV2zrtXDbZ/X9sZ6dvgIPrVr+I/gpSd9Hsfr0nSshZN+IglsTPm1x6z2DjRfy37Wgf+ZT/fTda+udAyrGsMsmOprY+2KQCfW2/fmvachAxldrFIzwsnEeT5M3MKrXG485wztkrr+e0kq7Fi4DTKiPPOLZp6Se/9CVImTg9PZrU/+EAslLzJkYLZfMc0o6yDXvWSKEg8mh5Vm+tKHQF8uXpWaQNg1ZBVuK8ALrHnwL3WY+2IhHMLKcKLCUiht3TnwYXjbXTquwXPTpL9a1Bf+JT3xiegfP9sSZRe4/foSL0w2EhDosF9a12D6F7bc0W4rxgkUpWajmAoOITxNAGMHvRCjTXqEAjYPF6Bgm/By/9M44MKaY/JpSaS+8oz24sbK46d7lfSuojIN1jkfCPwwYYRwWEU/qFa94xXAsIxwJeDzkz16GMBXa20DEq9lr4x1XQ8Qi5cHCywkXiwlPwd8RSYaNcFRv32SEi/fgir9TWviahQ6uubNJzJoE23+q2PNWhdHwirkSaj6NwpPg6YNLQAoNMTqEtJzqo+wcp52zcise2oJFwQqzVN5Qr32ubd3jV7yHP60R8yXKwMhhhPE+4DUHJ99yFepjpOUYb963fY+endTjZVBcTp+RRebN/DlRJQTdMwgoFGtcZCFrXuTC73+MA8wqyHv9t7gyECOnKQN0YYQy1uqfEFTLQww168h64p07WWcscOOBk/vm2+GVtt+KW1eBEEJOAtG0zn3PlQocQZ3A0jEr2okAlgKFQog7ySWOWhXSHGzfwEd8+waIDL4FC7ZJFGbjLYFZccm9CWcViJXW44f5vtT/6LvNabiw1DEOWumDt+S9P4KpLYQhy5EyNfnG4jcy2lGE/st71t6WYizOxYvpWiBobhNPvJcC0cfcomfZB2dWsbGwTPKO59g7qbGEI9caDBYZRQ8uJYs3vHdSJSGEzAeGZWQQ6OEfytaGHp606bd1/wOeaOrwAu8FHGEYdNIHoch79I6xE1y0I+h5txYUGjvpZCNdGwrN3O2CD9iEoo1ZVroNX3MHPkufQPBtNG/2HtCTArKvUHFempfRd0KG0eFkjrXGc3ck1L4hPjKPW0LAFIixmfMtp52CH3woaesFLcyXvUy8YB7x7dLJ0MByRSM0Rjd8lne1zty99sI9fo5gnYhowAsPMP6sN/sZ8QYrLF6k8K11mTXPm6Fg0dsx6rVGWuAyvsiM8AG6mDd/FGzu4dnDydpjMMEBPxsH3KxL7RmTDJpeCb91FQiNavE7+dQLtfQAemfCWa0WqsVo0RE+GMCpFbHVrURKXwZCw2JqGtMiY807Tz1n/bHmMJpQTiVGCBD4W68sDmPKnz785dkV7dp+PLOoWJahkRMqBKPFuzU0E7wpegoEbTCAzUOCzgmenvCveFHA8MUwrua9fa60S59LVy49OPkLXM+hVysA8I8wA9qYY2OxGUt4s4pHG7xLuPhOoFH8lIbfgICN9gQkoVA3zwMPnSxudbTBz654z/h6tE3b9hqa5+q7RQy+3wEwKMwfHveu/qaihcUYQk9WZG9vsK2/9pmg4a0RjBkvb8h88SQp1FrqWOp79w7TMIjIg/ZHxHPtAocHwnDE15El7uFmHingrYV3YP8Dn+1ahOb0T/iaMzzkntXfjjN94D11wnfmGY+bQ/+7wpwMC4z2ymgWWQCjlT1Zc65kTTXaK+2Fa0WHbKrDyXiEMHn8S2FHcLoKhHuDEP5qTLp23A4mz+ogsPgwt99pIqGMxNHWwAis9spl41ZTCo651o2stm6eKSzjgFP6zjV1tl61D9zQydVCrs910to+eFVoZF/EWAiSUYipbdt7Fku1KRiaCwExBCz4pfFi3op3HYd7f3BbgtPiRYBUuL37dszmmFIhzNFFCIOFTZj6tm9BD3QRPgAbL1FKLMteMWZzpY423HtXvNeGBXrt17zDJxYyXvDnfo53wCTozUvl6zV9raljzISHI7fGi69y6mxN+1on/LOGD2u73MODIUaO+MPXFEeryFJ/6cpqx4ej+V5qn+/41rF7/OPP/Rw/qI+HQ1PzzNvd1WAMHqFvb23l3RKPkGVC3mSHsbT/71n66l27CqQKitF9D9jSuwprqe5pf0/fuZ42/NOAdxa47Qpz13a70GHXvnZtB8ctbdXdUn8XGsy1uZB9z+F1vr9dbHRo8clzruebPheiv3MUyM1p8GsIflb0OCu4c2O6EH3O4dP7Fhxz7dW5UO9anNrns8DrfPRxFnivgXkhxnZWfQZurqPxL30ftdvn/Zo+19Tp4TApkLbx0nMLqK1fv/uW7+211jvL+/Srj9znuk+/LYz2ufa31E+v7VKbLd/Bn+uj962+q/e9fn1fqtNrV9+lfQurvk/9vMvzvtfThrcvPmvanwbOpwFjDtfTgt/CaZ/ncGi/abtP+xbemue1/a2tN+qzjq3Cqvejtt6nXq5zdX07xwNZarDv97WIrennNGGt6S91TrvffeDVtvU+uJ7v6y441Da5z7Xi33tXv5/F/ahP70ffzgIPMNNfrqfdT+DmWuF713tf61wK9xf7GLbit7X+mjnaAnNvBbKlsyC/S5u03fWaPnPdFc5ZtQteueqn3o/6TZ1cR/WW3o/a1/f1fgneLt/XwF9TZ0vfpw1vS983h7qVvvV+l7Hv216f+8AYtR2932WM+7aByxw++ZZr29/ofVsvz3srkAC6FK5biXMpjOlC4ngW9DwLmFtodKH734LrqO5NYQyX+tjO1xxs6Wep7tL33pzcrBQIAlQi1fsecVJ/Tb1R+5vS+yU6LH3fQos5WHPftvSxpu756qv2M7pfg+8udWp/u7Q/tPl/FKi0rPf/r8aFvYPTEl5L3+sIbnYKpA7+cH+gwIECBwocKLA7BQ4KZHfaHVoeKHCgwIECN2sKHBTIzXr6D4M/UOBAgQMFdqfAQYHsTrtDywMFDhQ4UOBmTYGDArlZT/9h8AcKHChwoMDuFDgokN1pd2h5oMCBAgcK3KwpcFAgN+vpPwz+QIEDBQ4U2J0CBwWyO+0OLQ8UOFDgQIGbNQUWFYiMaHICyJErjaccFrK79f4/fj9AkTtBLgfpGWUo9H/My1VxGkWfciWALaHOXMKdtj//V7+cDtoZi9wC/t/7XRNcBb7/5x9ctAEXrcDtZQDr/UBHfgI0rclbevXS39K1bWs+zFebdyNwvJcsSjpTGRSNQeKgZApMvX2u5gls82b+Whxb2OZZzg65CfCQVKByJ9RUs22brc/yecgHIsmZ5EJSpaLVXEEr9eBjvrckk6pwjd+fPCzmpv7J3eCvvmvT/qKPPBASk4XvXOXKmctJUXHo3Y9wqrjIUxL8ezDkbMHPMhf6k8tjia49OHknb4f1RI7ILgqmnCDG3xZ49QpewtN4G5xd5w1sPIAeWVeVNrnvrTW4aYM2+A4u1oQMpb3cJKOx9MaXd/gEbdDJWiOHezl02vnzjMbwsd7kLJEAa005ViBBOFdCX5Y7+ZqTOlY+a2lppRtts7cRxDLbyV6mjmTs0s1+x3d8x5Tl6t3vfneXUGuQVEeuXpnNHvjABx5927d92wRfGlj5rSUumiuEj9Sc0k5qCy9jkupRInsLdmtBJ8wgix+4GS+4cJRBT0KXtljghJDMaHK0S9eKXr//+7/fVt37WdIa8+FvpBBkLJSWV1pNY7j//e9/ZJ7NO/x2yUQYHsLQ5sc8gY32aGMezWfq1au5kkVN+k+8o03aySQomdM+hTCRJc/cGydecIWXbHe99LTwo3BkfjNX8NFGGlCZ21oBkPHM4UkZPuMZz5iyLcq46O8xj3nM9CdrnXtXaU9f85rXHIMCmxBVXyrljAF9jQmfM2iUNXgcAz46OjJfcNKn/oOXzJC5/8QnPlGbnOhDUiIpUdEIH6HTd3/3d09pXGXw3FooCevI+sILgfmABzxgSpNtzVCmo3Eaz6/92q9N84RO97vf/SY40inLib5VsemHMSTbJxqFJrmGTtZ3W8hL6xCf1TlDK9lIv/CFLwzH0cLqPVNKsgriCXTCD2BLU0upjIrkXK985SuPZaO2YJDxH/nIR04kFOzBOFYgPmYiZISDjNzRcjVj4Le97W3T1Xv5rVlhtbCg5QQmiKScNEFSJcppLG+znMrShprw2leFMbon4JO7V8pFcF73utdNg5a7FwGiaTOGXE0MYSQHOQHxxje+cWIqKW5NPIG/S2pMlpXc3ne4wx0mZjJWaUilGLX4MEkvnzUGxERoiF7XXHPN0S1ucYspHWboEtxH9Jh7n7YMAClb5Wm/8sorz1H4gSF9LHwIHnQl8AkR9JLP2vualTLtlq7mAy3MD/jmC3zzJ/84wVAVd/BW5853vvNUjwIjAMwvAYJWlJHFmPpLeNTvlID0ysZF+EsHiq+lTZVeVC52Xk8LmxKVF91cEx5vfvObpzShcJIX/Zd/+ZeHHl7tv94zuAhCueflDK9/3vkz3ssvv3xSJNoGLzTBt9aZvuX3Nk9obd4IKsIx9Wu/c/c8Irm+8QxYxibPdq7u3/ve93ZBsOql+9W/vOXm8Vd+5Vcmel911VWTUGPQbCmUPaFv3Zoj64sskpv9iiuumNaQiEKv8AKkcpUXnEB89atfPfHSC17wgmlM11133WRI9LyFHrzQUnZGfZNp6FJpE1r1jBye7n3ve98pXay1YCxkEAPm6quvnmTUrp6RjJ3krnUjjTXY+iCf8JEr3m8Lj0mqZutRWt43vOENE29LaaudvPMf+9jHZvnohALRAQuZVW3STRyLUDpanVlIBCBGaMNS6kCctjPxrAcWuPovf/nLJyGJwEIYWwu4FhOBrz3YUmwKu2AOhPvkJz95DljpIuVSlnQeDtw07QguFjBYQk413BRGOQdYeaF/BL/sssum/MotXKEErnIvz/G///u/TwKa4OIushQokA984APHPazB4bhy54bwZsVTHJjdn3lUWtiYPSE082VscCSYjI+wla6z13Z62flHH+YDY2Js84Tu4KMN6818mte2oMlHP/rRqR5+y1wxBAhsc0lwxhBp2/ee4YMmz3rWsyaa/ORP/uSUwpObbryuPA9zltTL4GjnjyIjMAhGc5021gFD4K53vesUIun1Xd+BlUJwMcL+8A//cMpBXq/uWfqUHN4g/FLA+Nd//ddpnTFQ0BSNGEHoZt2a911yflvjBCJlRuAZX1LJuqLPyNiiMCgeNLbm0cgf3iGQjOO5z31uhrHqav0IPZmb8IK5EvbhIYMpN32vqMMApoDwjnkNnVjW6MSoJQdqqXNU3+de2FC/5A569P7QsS0MbHUJcmMIXws9Umb4WjRga8FH6HvLW95yEv5kL9j6sK7RiREiAtSWP/iDPziWq9YleWnOrH8K2zjJubmw6AkFgnjiX9dee+0klFnZKZWwFm+7gA0E4dr32mMAi8wgP/zhD58jxNJH72qCMQEheOONN56ooi8WkYFKCF9DCfD1TbsHP/jBJ0ImFQi869jqt9H9b/7mb04ChWXdMmDagKu0sMWQWRommVDj4aFLVSCBsevVAjGHBDX3H33akGNgB888B19CgDWpLQtnSxGeobi1xbgtT4i1EnLmtaUfoVHnMf3CU0gVrXgKPeWcur0rgcqqIjQIl16BZ4srOhCqt73tbacc7bWdhcXKNk6hSM+hX63nvvceL7R/aGf8aE4A8lLgUIt+gmeFK5QrbJR1VtusuceT6MNoIHD1AX7714PFuEMHBkBbhGvhJCyypeh35P2+/vWvn/pjXfeK8BZ8REBaHjdO1jUDiUGwpZCJ4PLuQ5eWTi089Xq84T0ZIGIBJo99azHn97jHPSZ5lNBlhcH4AFvYti1Csr6JFqXASeFpoY+QVm/vMfVOKBANuVWAWhCZvFTOte1s9Jz33HXCAlyW95ZCSxqIkFBvr4NGZ+myKGqsz6DFOjEuAi3hvoRT2ptwymYtCwMAACAASURBVMpYWOkp+e653ud7vea7q7g1WB/84AcX21UYo/u///u/n2jNXcYEwdX7tQVewpgELkHPOtlSeBzmQ8iHNdMWsWnehHklXHolNKrffvd3f3eiFY+TR7OliM3jBaGzCN/aPv3lmm+/8Ru/MfUpDErYK7UOK89YKezeAla31g/cuSuPWMgM7T/+8Y+fwHcOlvUaj7Y1tub6y5gYgBSI9cSCzft6nV6Wf4KP0B4+Ft5rS2jIk5srgbWmjrCd/sipXiE3fLe+8FsteJuSZIiwuGuBwxwe1hS4VYG07evzmvvrr79+gvn2t7/9RPU5PFIRryTsaG8sJW156/AVimrLy172sukbr1FJG/c8I+sFH9b39V69EwokFrEOxVlTWTwVQ/mekm95nrtytTEluCZ2SxFO044loei39k2z8wTUqfFZm8ZccUKKV6WwROJaxyqpsKZKDSHzLlcKi2BEXG69QiCBK5wwBzcwctWOBwJ3Xs2+BQ6sPALtd37ndyarR1wa/K37BhQa2omnrzmpVukYgWEDtSd0jVMYCV7mt7bt0SDfKWxtCMkaduy1qe/UZYBoWz09ApPbXvm6tnMvRmyuKSAluKQe2MJY6qzh7bZ94NTrhz70oSkuLjzTCr9ar723kSqeju5CPltLFAjhykrfUjLnaFHDyda+9Wm/b+T5jfoZ0Yr3KbQiNFMPn9T61j/PUeiRZR+Dw/pkjeNthmXPmJjDJwrEujqNwuiw32SvRmhya4G/0CDeZuTUaIHwtMgPLy0GQYUvhMpIMd9kZzwN9M2enzqVrrW9+xMKxL4GYJBxasKE01LcU5ufrLff+q3f2sTUOqGMTBjrprex3CJVnzEKfHhGo0LIqWODLIUF5p0wjLigY220sXGA+bznPW86zTIizui9UAi4lBNlYhPPSQcwWfsmE+2iSIJPrhVuVSBVsKXummvggWXTkPIwZwnxsJTgmz2QHkxKmKAiTJ0gcZpOKMSpEgumLemzfZ9n86BPVmmvaG9Rq6OPJXhgEAAJx+GFNW3Sd4yJKH1jetGLXjT1bc4Iagq3DZ2hS/p0+KJX4MHTNRab8vsWuFKQwhK90zwZN/4yZ4wGQkhoWLybsBYi3CIYg3MUCKHipFz26VjsSwXvMAqsc9EGm7jWisMJNop5molozMHK+God88KItY9ASVrHhK4N9dFJKnP3/ve/fzJcyTT7V2SCQyLCV+Y/SqX2tXQfBUKW2XSmOO3TrFG4xsbgQGfzTNE6aSdaIOzcGjI9WvTwEyGwX2YPivEgbEwG4UuHTiiVHiz8Q1aYb+Oxbo2FDMN/73jHOxYNtRMKBCK0OiYQO6PR/HETKRETgfhiZ9Uy6iGXgdrA4irai4DQSLCmfoWF4eJdJFxUv6eNE1oWsBNiKb/92789vbNxT7AKmbAaMBKNTAFYqO95z3u6xA2c9vp7v/d7E1ya3SIJXB6S0yHgihsSwkuL2HcTDPddFUjw+6M/+qMpZk4gUpgpaxSIzT2C3L6Fo39o5nQWi8hC3FriXdjcGxWn1oxbf0s8gQ/wI0a3QHqholE/3lv0lIf2eIHXZ8Hha4pf+AmPOu1VlYiQKYsantW7bfvi9anDKNmnoINFbENVKGiO9vZFCB88TclZl3iQtx2vbysuBJvTXYwuG7v4AC/jKRu8sVBHcAlF8gIthBmtL3Aoj57H2FvLPdiUGf4EmycJLo+9Hnho24FtPJQ6fMw9o4jicVKpPQTUth89CwWjD54xNoIXPhRlu//Tjg8+1gYjFg9StOaPYuuF50c41Pf6wDeUBC8Pn/O8zJvx/vVf//Ws4s6JWzQyLvQVLXLAZY1SPKFAol0xMOahnbyz0US5cK0BF8Kh3UclhLMnYdJNHiYQ4sm3Xtv2G4Z1isfgerHVwGBBquOIZorz+d5xYSPQeVROhbg6ZRCvqHfsLnDaq3GDa0wsK1aaODi4LEYCClyTWN3JFo5nCiQhrH0UiPkhWAkRCrsWCgRTwXFUCB2hGrFY82XvA83QqCqjUfv2fWK6zrePivABOmLYOUHJKhPvJpAoax7fXP1ef0KN+sp8U0YEgTmjJFmRxsxAss+SYgFlUQrpjQp3H3zHn/cpwgUEE6NpFILKGuH9MpwoDZamDXc8J9Q2N9dz+FHU6Mt6FY7D28ZmDbFIKf0o++AReOZJfXg4tGKuQnOKmiBT2nZpP3fVL8Frs5lQZKQxaBOmHbV1ioyxyNgjtM0/nOBmzluLfwSnvufx5QeNeMUhCr+jYiBbM3NhTFEBRoY5o5QpH/Sy9nhWW0toCSdeuZONgWuc6KS/uYMCxsADogSj/LUFx0m8pXJCgQhzEDYACD+0WprXgUF95y7Pxca5QoSjhcl7GC2IOQQxNAtVfyaqVxCRoFKHd5HCjfPOH1eX9q9FTBCj+86dXVsI+sAVhmm1NLgJaXAFM8k9+BRINtF3VSBceAwo9s3rYcmwovPHK4KvjW3vIgAqPuaV9RglyLXGQIwFykB4IqWOp97nu+sWD8RxyJ5CAJvVyoJkNWJuIRE8sbX4bUfmjJfa8iIaCs+qwyOJYKkeyNwRy3gg2SfZgl9oKJxirgg53vNS4WU4oBAlyIp96lOfOgkN/Lf14EP6M3Y0ZrxZM+CbA+ERFjdjIzinjavoAqOTkHfUVT3Cy/oXVqUUCfRdipN68OB5MkoZH3jC5jFF0CuUqLUFJ1EDR/bhyMOKISEEtYWfMm601856sjb8gDJREPzcys3gZ+05gcl7hA/Dhuwh6BnKflIwV9J/rQMHR/atVVEDcBkBZKFoEvqbkyiRCkPUgodtbvTNAGZc2Y+hEBnIvc332v8JBYLpWBsWUu/csIZ1b2G0n6EOLc9qFCIaCaCKyOie5QCfesStEkE7v1dRp+6BOBPvHULwonqFYlFHOKMnWHttuOPaWFDVc6k45YghBToSjmDrs+eBVFg9HOo7/yWCI6YWBUFGiBDg+WPhMApYbN6NmLT2SXgQAjwa/GCR1u+1/3qfOn7UhkbmZVRy2s/8toVipdT8dgcPOY7s+CRapo9c27a9Z2OJ9Ykvem399gLOhGQ2HPXHgEG/3kk+fYHFylUneyA9+D286jteFq8WL7Io2zIH0zcCjWBi2BnrS17ykhbE6ue2L/RIKFmYry0EKA+FB4TW2vuzZyG2z8JFH+Ga3thaeHlu8fDeO5GMHJ8Gu/1tCiVIoIuk+H0KQ0Q7CpFiI1wz14Rt4Kbf3jW44M1efcY3Dxbt8VJb0r62tf7hzkNDHxGUGC9t+9GzsJmIkHmPPA4viNrAiQxk3FRlaU6FPhmeZEjkH+OKh8W4hpMIAeOyV4zphAJhBdHYiDuygmgpwhOz92LRBBTlQSNarKNNrh5CvXesGPg85SlPmT7XifACweOlsMAVdWh3BKCFaeW8///au7eWX7vpD+DZ73fZxDtwoDgjonAg5BUQCUkOPDlyIPskhB4pKZGkpwfhNThQkpRyKt6CF7D+fa58V+Mea85r87t/a63b/7lm/e55beYcc8wxxxy7Oa97Lhf//WNDANgzK7iWTbvCUpgE3LqrJO/V4VqDy93u8ehaznVVIPVdbXvtmoVg8nKHTSaxfD/XLDR4wsW4sjbqv6JIez3XHoZiratb15ZmuFQYxkE9DIpp867WpcyMD8b2vpZBMwYD5rdBQpgpE7fC2HttkgoNwem3v/3tsBpjAD4sthq2Cw3wYU3Bl3DKOglL95LkOykwtC9MnJQ2cr8nF0LVTwJ/a82iw1trz7/8AXe0MULoCu7GNAZTYIlSMLoYImTGWqgmdTpeo3uyh+VOSdg0IKU+gWe8CVaeS034yLN4/hbkL01pT45nhZHRyPdKNaVcfVavs67KWOrfRdVyo+uMizBfT5Q1Y9bYMCTrl+4UDzlO/vBiatIXXrvQH/rOliv064YCMfhCF4hggXiUWPOAUhC9szwYCEGMEMlCeyVgvR7B788ISPhw8UYLcbQuZqFlq0cANwRAPHuaRylhLpbRXgFl4Y6LB6e677rCF+7wXihhDa53VYFUGHuv9VNowM9ieHLXrCuuvvEimLzr4Zu18RDT1w9hHWmtbMVXmMF44BFWaE/GUSgB7LrmkHL2w1MeJmSP5weH5KmzljMyEq4k7EYJveBDEdewZJSh8FIXjuAwqIRoCDP8f0niaRkjcejqrV8CK2tLFNKlC7OjdvM1uXBIT/nWgOc5SujJqEHfqiBHZfc+YxTwvM3vvu7AiNWW+T/baZVdgMb1SJrxHR5jrWt39NFe2lC/wyDM1bOGkVBTys9yMPBj1i1mIXDzh/JGp/qdXL6jsXEmqeLF8IsuwJ+zdEOBKGTy6ozdQdkKWis/+eSTy3sNV3eLpYHJWOfi5t1VrchVeLmevbdLIKEUk1yqZe2OMfmEEaKwlEFcFpG+zGLTmRTifnsTyzxrLhbvR8lzA1bDbilXcfcsCqRPrF4u9XuuHEWUH/xyjR5ohz4WjT0fwR09I3yyhXXWz45L7rVLeUZx5XlyaxmsUQvUPfxgsZVH5T1vaYZzYO3N8w2JTQXd4tJ/oQ68IowQdx7s/BcFnonJ2GmV3WQsc5Zbf7+FHwNIf7WND2v9er0Fx3u0SnjGfKjzc6v+WltCPxGO4u09iePDnyEWJVvLCJcwZJTZWphdw6PCFHYha8wz1nJN1vvwHsVehaYygU8mwEf46BoJb+ARMEdG0VobPrBUTwhwpvAq7rk23hHyNXxf27KpRhQCLWrEyNKCNhkaQoI9USDZIWpuSKFdcs8eUCAsRtahCWzSVSXiYzT/WoGHUT/gAYgbyQqDlPirEBJ3lTUgz2+2p7witWD73z+IJJYHrhh/4nxei4vzTODDTe5J2waVaygumRggmBaQeC5CO2K4RxJLnnvMwkaHTFRwMTbrWSx99O0FHHgBfryHhN9Yxiaa5yy2GT2O4MnSp0BMshEuBB7vTOw8tAGfl8WKYrmg7dakH+GE3niIF1Hb1pb1GOPp24oqrF1bw/GOl6fd8E3NKZmRoBrhkWfCFsJ6Yr6+S6LkQmMCx4KhSda3YqKLuD+c4FY9OAYNyxrf20F1SRJGjbCrHnRgBcd6r12ej/FLEiomFPAlXEf/ZyxlZ7m5TqHXMeERUWzGksUfI67CEDMnpLy3+7GGrdW3mw8fCenOFpjB630VcjHu1RiFGzpZK9JPoahskEl98yfhJNtraxjLXLXLjLCmgEQ4Uq/2aYSPZ+aoX03gC3WaZ/ho5HWL3FBmdeMRQ4aRFAOCUtO/GT61zVz7rgUdyDHh2coTNlkI/XtvHbEaTviH/DMu+Lv2CR+IzvCIyLjM3xFeDygQQhAiXHlC0JYzcVVbeg0KoWIBtDKJzqQjkFWXEmK1yPNzb13kaNK57DTi+dDYTzzxxLJ2IVTC0q+KLvARjJAiGAgPn+xb6LQ7yh5sisX2zCo8R0QKvOTgChUQRjS4fzMOrjg5BkJ0YawoltQDW3yWFcxCZyUaJDQjiLjTno08l8A4klMgsfwsbvakH9rkBQlXoSt3VZhCzJTQQOcRbTusfq+OfoDBkwGXINFvPMT7q0yrPnx4JeihXuef8JH4/lGcTEzCAk8THrxTY8bYYRThEZsqRmFSAsFaDEWBNpQrq9taHx5gaFXB0GkxuzfXeAwEjy2g1YOe1fHcXEADNLQ93s92W/MO7Si6Hl5eg5d3BJzxIcjQwjz3rQleoJhYoqN+Ggv0IIzQlszAS8Y/vGRc/VsW47A3EfR4gOHI84ET3IyXeW8O27DT56x7BqI2zS8LzL5dUx+fo7X6rHbKJ/WTr+Hng01WP3zIRf0Gn/I0hxlO6WOFp6y1VuNtLlDKFvrJJWNGrl0SAmWQG3s8BJY1Ef3E15QsvChZmwdqomjIsBjYxtl4GTdeGV4ix4Rwq1KqMFw/oEA8xCTi+7SqQbIYCzn7nVkYIysCc3D/TbTkrv3sxsk1pjiaDARtiugGAT4sawRiua9NFi6hj47s9lHHj5BHdDgfFUTBndsn7OQDp+CDVsJ3vKHKmKkjt39fGTQR9ghdQiO5ha9rJIuoJoz2spOiMjXF6V+JcFWNL9pgHP2Bm/DgzGPcgx8+waQUlMkFLsFHcI/+RxaFSxmHJp2Pck+AXhLfV4dxZOwpfv2FF4Ggr9W76P0zuU18SiP1GAJ9l2Gvt3ZPgRBA+ntkzBlFFL8xQ1OCEk5CSAy5jPVa26N3Igw8evBYxWBT2hQVwbgWXsEnhA3vUj314YReDDcRir0KMrix2lnOoTmY+JMCoUh8KsDoqDydumSYNvG/tSV19cscJSztLOzh09Qd5WmDEcKTAssP/+BpxqPQLAMkZSschjN+obzUUVdfrM0xSHgE+OFo0havHv+Qh+Dqqx+8GP487Gokpw3jKdzGS8NLoRF68VyM+Si8lfryGwqkdtxkxojii5SJwbIbJu5iBeKa2yhevPbj6nXPpcNZuxdaEcv3b0mEXhBdu0kV/zyTUxIEAHeYxaJPcMF8szSDVcsTSOAK16ER917/R1Za6tHmylgs83MNl9DNs0uFdsfZPYUF9syKYF2jo7CcMAz62GkGj0uVa/oqx4B2q5nMfoTU2kJx8O00yb2c8rlkssHHmJtweEBf8YRdenv6ylAh1NCJsDAf9tSr9KjX+iBMY3zWjKDUyfhSdMbMOKGpEJLx048a7km9vTm+Nb/0DUzzTJjYmKzxdOBnnsGFoag+egk7xxtPH1JnLdcmPoQD+QMnG0PgiG+3wpiEJvryrIxZ6GQt4NJxI3TBgwd4aIWnt/AxLsbHmgTZJVQqxG4ceeJH6DKiGbzMMzBDJ3gx4tbmCoVnTsHLfPDjrZD9a/IxONxQIHnYcwMRJGYd7c/d91+Hu/e+w8Y4cRPXYNT2ldOH2pdR3d7WqIxntZxrE6Q+m9Xrz1MneX//KO617Yc2+pGxvm3b6ZPceGXC53mF79nouTJ5l7zWO3Id+PIRL+R9h9mfV/7r73rdtftat16v1anv1IFL5elL4ARm6horMDNeeS9XJuXq83od2o7q13JHrtPPzPuKQ72ewUz9PWUDY61s4I3wSf2agxV4mQuhT54nr/WOXmfsgtfe+tquYz7DpT8fKpBe6AgSe8peCn8GG7w1mFvvZ3Cv+bzj1++1NXp2DRz2wO1l+v2leFQ4s+tLYV9Sr+Kgfr/fgjkqn2fJt2DseX9NWHvaU+YabXYY7vuzS9sawUnf1t6lTG93b51av8JI/eS93Oi+l53d9+cjWLNne+r2Mv2+wh6988zvAQUyKlyBrV33umlEnf5uDc7s3REYKZt8Lw5HywfXWm/tWd4l7/X6fcpdmm/B8z5lkl/S1qhuniXfgrtWLu+Sb8Eave91t+47jF6+v3+Y94+z7T39etT47W1vb7k9fbykzFr73uUH9lrZvW2vwVh71+Gvlc07+Q0FkhcdWO4f9vu0cySvONXrvTCO1EnZ5HvbeNzlbovvbevX/gdW8vru/8P1pf3aU29PmcdNQzjO8Jw9f9w4b7U/wnv0bAvOw3gPjy1cRmW26nRcZ+VvKJBe6WHdz5C5pL1rwrqk/V7nruHT8XsU9yMajJ49ClyOtPG4cLyk3UvqbNHiEpiX1NnC49L3t8XltvWP4P2o2nqY7YD9WBTIEUKfZU8KnBQ4KXBS4G5S4FQgd3NcTqxOCpwUOClw5ylwKpA7P0QngicFTgqcFLibFDgVyN0clxOrkwInBU4K3HkKnArkzg/RieBJgZMCJwXuJgVOBXI3x+XE6qTASYGTAneeAqcCufNDdCJ4UuCkwEmBu0mBU4HczXE5sTopcFLgpMCdp8BQgTzMj08eN0Vu07e9dfeWexi0uHbbFV697rivvetl3R8tP4Kx51lvp98/Slz24HvXy4zoN8K5l+v3ozqP49levFKu58E5z3P/uPNHhc9QgVza+SCd/FI4d6nekb5sld16f61+72lnVmb2/Fq4/a/AGdFh9Oxa/XkYsK8Ncwve1vtr0eoSOHtx21vuEhxqnYfdzhr82bvZ8zW8dymQfmjLnoacP+H/+fd/K5y6yStyW9eX1Kkw/ZtphyxdO4Grr/4dsrSGZ38Hnz3/d/9aOPf2rwF3C6Z/ET/ihaNt93b6/RY85VNHHrrXZyMYeT96l2d7yqRsz3vdPmdq+V4Wz+lHeC9le7k8fxT5tdreA2dPGX32r9PxoLla0976tY5r9fzIudFZJ5fC7e0cucc3+riGzxpeZFH+xfzedqcKBCJOq3LylyMqP/nJT9772c9+Nj0JDmIOIfn5z3++HKfoyFBHIzqNzCmGDqVZQ34N4X/961/3fvzjHy8nCzpdsF67dyxtPViqw8ppaY57dKSk4y0deBNiHcUr5R2uhSZOI3OqlyMqHdvqYKktIeAgI0eROvURTp/5zGeW437Tj7TR+7LnPnXBcmoiGm2dLFbhqu9QGsfyOjznSErbf/vb3+59//vfX2jjiFX0+chHPrKcnJbjNVO2wnfYE3z3/PDU0eQQMMeS4md0/9SnPnXvl7/85aoyceBTxafzH3jmy6g/e/CjAByc5LREpzVuHfvsQC1j41hVpzOirVMDHWXqsKLw9Z62axnC0Il7P/nJT6b9Na5rqdLAAXBgmSOXHOCEf9X36zTPeOTdjE/R9Vvf+ta9D3/4w4s8cuKle88vTea2g6ScJY6HyDqnpTqkbJYcYgXn3o9+r8yRkxIdzkbmOi2T/MEL5pv73/zmN/f5eoSXsfJzOJaTC/UDjO985zvLQVyjOv3ZUIEYOOcF5xhSxy46AtRRlRRCTpSrzOKZc33VUdYxpm95y1uW85Sdk+zoV0crpk7yjtDo3mlkOaYxR0nmPrlJXhP4fk6Nc2QoHBxF6fhWB9C7dvwny+0ILmmDUsKUOd4UjZzf7Bxh+Xe/+93hRDa5HcPrqFDnczt20pnhrsEygJeeSBjc5Cwtwij0cvLZ3n46YdHRm2hrsu2tV9unpNEcL+ifc5ndv+51r1uOJXbs7yg5y1q79WjOjLEjQHMt/93vfjcCMXymD3j0E5/4xMLHjvCsfI3fZ6f5OdozdKy4BUfzwimBoVPyisjoGUvRkb+O2MUHjlt9zWtesxxzW+v2awYZPLT75je/eZlrrtXFe953S7vD6Pfwc1ooPCqN09/0H+xZSh+1bV45rlc9MsGphEeTuZt2O07uKz845jcpeDidz9G/r3/965f5Zu7Dxf3b3/72Rdmmzt6ckjVm6AwHPGQMzHtH7zoaeUR7Qj60HPWl9oe825uU1Sf1HfWrj47sftWrXrXwE8Xg1MFRogi/973vLbR5wxvesPARueTaWfZOftxKDygQnXdG7yte8YoFiGMp//rXvy5HStJuL3vZyxYPIxZ2BouX4Ezmr33ta8tRlur4ERQ69dznPnc5e3o2SdcQdVysg+cNmoPfadf8Pv/5zy+WPGunJ1aPyfmCF7xgsfAd2+iYR5rZ2eqE9pa1B2b6GPhoBI+XvOQli7bPsZYU5De+8Y3lIHuD4DjPngw4BUZAs3wrneD0ohe9aKFhr3fkHr4EMYGCbs973vOWdkYwet9YP+94xzvuPetZz1rq4oVLkjOnv/3tby+WGkbUT16fM67hpK+O8uzJMa3OY86PNeVazsrmsaE7/PDmnqSP+PVzn/vcwr/OiM+YOer0/e9//8LvLPjwdYVr8sOZoDDueA7/hRe/8IUvXHRUM/4kgBhavGPwtcOjXUtPP/30va9+9avLMa1oi6f156Mf/ehSn6Jm8R5NDEdC+cUvfvEyX9K/OtcIZfTsfNPbQjNCTH9e+tKX3j+nfate3svJFAaVsa+/8IN3lIE2uqHjiFdKAq+QSX/6058WOpl/POFnP/vZ9975zneuRlR6n9zzNrVpzIwDj8wYMBgpEfQjr3oyPpWX6zW+FuUx9/H1mifT4ZI5oh6MKV6Yeaa+Z89//vOXMRjhA86vf/3rRRYxpsgifIROxp3MdL59nIXebu4fUCCEHisRkSAUd9jE+vvf/75oO4Ry7nFNtJz3Bi51vOeeExyI88IXvnBh+lpvz7VzehEWkVl6zo+uP+f+1jYDU2hLmwQiwRjLAE7CBd696U1v2nUedWDKEZXGRwfnEKdtTK//BBKm5l73JFTlHeEq7JEEJ+6rdzy5SxMcuOdRkITJc57znF0KhEXMEqdwWDNo/sUvfvE+Kpnc9x+sXKARgYRvUg98fENAwYlC7wkfCdGMfkKkaMQYede73rXJ3BW2do0Xi9aYZc3A2P3lL39Z+B3fu+6JkWFchL0q3+U63kf62evnvr9nzTrT3KQXjiNItINH1hK69nmGzs7cZriAMfPw1uAKyRKABL9zstO/ms+s2QqXQGUFg8VIo0CMZ+9/rTO6xi/qoU3NwxvCda985SsXmaTvNTEMYrSiVdoOneBFwOpnTSlXn+WawWNeqUf4Gr8kYyIkbc68+93vvvef//wnr5Zc6BT/Bvee8wQotfe9732r4fgbQO/dW9rBf2iVRM55xjjBCwycpPRPSNt781CIkfyRvDfeDD1KBF5raVEgAaog6woRhGciGAMYYgQMpD796U/fH5Q0UOHkmRxjcrPUC0KzsrVerikQdU2wpK36FoQIGfVYwz2ZCAiIyVhLW6m2xx1HXBb+yIr+2Mc+trRLq/cknAYnlkxPLGrvPvCBDzxA21429xUvz/RLXByT/+AHP7hPA0JKSvnkgSOHkwnJyme1waUqkFo21yM4eTfKTebXvva1C+w//vGPoyLTZ5QSqxGO4rZH2raWpz+s+xgSaQifZ8xY2z1FgVhzuHaKIgNXfB6OWwqk9rte6xcBB8aI97ZwjwLB18bpkiTCgH8ZCZQ9fBiPBOY1E4FpzPC5dqqs0g6hiA4f+tCHHmjWHGEAwpGXszeZn+SF6MFoTecf//jHwtsMU+uge5OQtZC/ecEDv1aKQcKj6EkUhqEoqjNaH7UWRg8IaVJ+f52xzQAAE8pJREFUUuW1wLvhgSBsGNCg9ASAhg2MeK2Y6Z6kHMtPPYt/R9NIgWzBYJGwfAzmbOFPfBBOXOIjyUTTf8zEda4CiUKxvsISHE0ag6lNa0I0fU1CLAZtRPtabu3aAph+m1wmM29Ge1Egs7o8T+sV+iX2bHFPvS0FMoM3e24thkBhnfIcjyThQYrb4uWR3XT4j0WsPzPLnPL0Xhgp1lhwo0CMi5j+w0wJQc0UyGgCV3zwnsiBsM2M52v5fh0F8upXv3ox+vr7rXvzQMjTnMPL4KHnw1AgPICXv/zlS4ia9S9V+vA4Wdc8DWG3JGUYH/hIKLNa7ikzyxlkeIRhOkqMAWt9ynz961+/X6Tidf9hueAhkCXCkkfwKSBu9N1znpbIC1zQquNg84h3eG6UeH2WMdBptkFBvRsK5J///OcifEyWmQYliGgugIWs9iSLsphKvVHYYgtGFIjQkF063LMaGqn1QyhEQyDrDTNrijJTRhirhpPAC5wKO9cmih1GGBT8L33pS4syILANDMJbTOtWkfrijBY8TSohOTuSMN4vfvGLhdnFRmf4pv2aVzzFWeHDmsmmgnhhawpEe1xWgofloX+8NrS5pgLBX5Q1y89Ggqp4a59G10JL+kYgHV2Qxaf4zyT985//PAJ/jzckhEAoRfGHtlEgLDr8Z73tCO7DBgcPtxRIrxL8PIeTjQvmGC/qiIINXAKfZY5/zdN///vfD8yLlK05PPzE4Xkv1kJZ9vhaKPQaCqT2leGBx4Ucs6Ov48NqtkOKLLNeYQwZBhSrNdk3vvGN07oVVr22zmFOvO1tb7shHypuDENlarSkwujX+E4/3vrWty4GVYXVy27dp66+k0/ms52wUbCpTy4lvFU3H+S9nDzkaenLT3/60/uv0kYe3FAgFmQQ3ERjhY4SzWSSASx+O0tpSCyQG6m88E0X1LP69bk1FPWFLuzoIRQJaotYmCJt1TpCZepglGj1Xs5CszIGcLQIX+H1a0LXLieDxPXkttsGxyW09mEyjpLB+/3vf794KSYWj+/jH//4cv/Zz352ifeO6m09M9kxtvh1XTTbUiAEIQuIgOUdxV2NAtHHnjod+/vcE/Qse8rUot573vOexSPiYR1RksaYsqWwbS3f237wsHBqnCkuSmyU8LvxwP9dKMU7IRwJLl6dUK6tzuGtEcyjz44oEGEHoVeeIiWP/+w4srZ21LMLnniWxW7+40uCVjiTMNoK9Vi0V4dnmdCkNYKqQI6OW/DquS2zcNTvNfoLKRGgxpTRhr5ohA95JTV82NsY3ZM3+IiXl3WvWo5s019lKJKt/pKNDDdhOLLo0oTOPGtyR+iZ4qQgzDkGT1LwEX6z4xNdqnJIOTm5QJ7oCwN5lm4oEItSKvAuKIpRwpwmknJbnTbxubRCKly7NSt41FaeqUfI2kJsJ5itZnaD2T1A6NYYXoik03DE1KOknIU2ZSiBrQlSYaQNcWZ1MQDLjxCmsHgCa8lkMzkJRO0n1MYaOKpg4YKBrEnB4Zvf/OaNxb2qQIJ3xY2nZjztuKghtSiQeCCpm7zCmF3jJ1aM8KUFbJOeMUGgH0ni2ejMABnFnrdg2TCBzgyQ2sfaFwuceEo5eNckHIL38CAc9IkRJSwmnHYJThV+ro8oECFavJbtu3hQyMKcvNQ7ItCEnmx15gmzio2bjRgWd7tiDd7qWXfD/4yFCHV5FAj6XiNRTpScLbMjTzRjKjeXyAeCkkxjQOBBSuUSfGzEQW/zrFvuaC7EhQbaM+9mKTiaY4wWtLZ8IHmX97P6/TnFb+ytM6NN5BBDjQzuibHMaMbrv/rVr/rr+/cUrTI821m6oUAIPhUgEDe+V7TgEwViYs4SS5byEE/FiCahsJN0hEDKIi7LEcMIzQhD2IuNWNxtFnRgBx/xRH0R8phNqCgQAnzEjIGVvOIt5GStwyITC9UCKDiYVEiMZu84gWPi22MNdzF9jEgRCp9gTpbt1ta54JOc5UE4EkBVmXovnIAO1aNMP+BighOIXbljPvW+8pWvHB6v4IVXrJk99dRT9374wx8uW1UJI226H9EndZMbd+UJ9xrLzvs9eTxNvDLzNFlqxs/k7wYAAQkPP7t2eOr4C80JWEp7xmN78EuZkQLJWCVPWUKDJ+sbFV4IA8IaFuPqy1/+8lBwpO4s1wYhyZgy/61XETAsUYKXUGR516SOuYh21ojquqh35p85wUO+bTIOPC1jpM+dJvWe8rAhiEdku685kvVA8ivfpR3BCb/a2cmYscbJuBJeZ4TZYEHOWUM0b3gWa8lOSWVFDPBTxX2t3ugdT4osM9fIHZEECpaBgy/6mJkD5A888c8shV6Milm6oUBYGIBiFsJllHgmsdRmISxrAQhqoD74wQ/e2A58G0JVfLSBcTETYvTteGLs+iKkNHNVY5kKQXUi17bqNfwpMJOVG2itKAKGIhFv1a53NZQEBkXIvaSgKQ7C3s8akZgpj4SQM2B7hCuY1lTggqkt3OkTRsoPI6ERenhGCEosk7TJIqv1CNwssgnLebe1N300roQq2ovHs9LxzpNPPrkIFIqkK4QOQ/0nnnhiUa6EwMiaWjqz8SeGESE386wp2FiPWafr+NRmKHkGkrFG/4SN1urU+qPrkQKp5Sps1yx8P8YaAU3Ym3P4Wcz/SKqwaz00N/bCNixvgrgmHoG1KXwbHsNneIZwYhTxjgh8z0OnCmPvtTVLYyQ8Y97McAaPgUI48xh5G+aeMRaZQB998Z3IkcgDuBQ32IwacBiRDEDWuj5THHjCdz2jBGdhbFvCGY12B5oj6UvyUd21Z2CIROgnL5uXb+7zlH3fVOGai9a64ElmjRL5kxDWKIydOjcUCKuDciBweAyjZI83BWMgq1WbsiwQRIG4BVOKqFtntTOpd0kOXxYgQnRNmkV0gqpb5WmLu60uJdOF0xqOtoKqJxZblZPB8yFOFqi4/XUx0+4P1hirrK4BYCh9oTgwlT6NvkcI3jXHAMaL8uHCsmrqzzjBFcN4HpfVRDbBvKOAWSu1nskBrjKeC1FcI5mAcY23PpgjuAhEgr9vb1wbn4qnchbRhQrQiKfV67onCPUX/xuLnpTp9ShvituYda+l199zv6VAtmDgv2xHJsj2GiFbcPEnQYxXOh8w4jynJCjSykcEq+foyqDCRzOjcwsHil/IDq39e55RyviY74Qn3u/hUorfOprICDlmF+XRhIftWoQHpSnE6tsiMoQXgh680lkiB3iv5hZ5GrxTvt/n+ZHcmGVsjAmDWwLbu+Dpv3GMEg/OeOnLbJ1EvRsKBAPSrGuVCGrvMUd1VwGjAVmMlAfPYyvOeFtCGcho0h/96Ec36EBxEdaYaLZbjMDWF1b2XlwwiXUV9f7whz/caNMNZZk96BhESCBJaMFkmu3Q4B1ku3O39AKj57xGHzBZMJML57n248KzDLUpxOZZtuShHcsidVNHDobFYn1kpbm/zdbijjO3Gmwu8izhJZ6RcrZbUsR7x6jDZHHhV7AshI4SYeC9sa1KP2VHbRvbKGFhutumSxRIxys7hUx+8/layRoQ+rz3ve+9AZLi7DwUHhSFoLgpEWOOt0ZG5w2Agxt9ZKwxAMinanwNii88TjkwjEbhYHTxNbp5sRVqGsH3DE7g2OGUdUveDOOPdzMzwNURwkZLOGS9aNbObZ5TVNohB/t/JuABeWddb5TIbsaUsRNim6UbCgRRKACAWTKjlMmPobpnQeghIEu4x9RHsG77TCdZp/C1/bQmQoDw807csieKIHu2Z26cOn2CEkasKXBnH2sJa3nPOq1rK2LEnlOuo8QyiAIX6tmT9EP4bfQj4MSAWW1wEvtUXmKd+m5gVE+5eFniqcqYKJ0WI/xmZTzPOzuq0GFtpwrBZGwJDd7kbRI+TUjOouoo+XAWTvg/eI7K5ZkyPBDCQr29/1Yl9XsOnrAHoZbvQPbg0eEQ5vDhVUew9TJ77nvbFAe4QrA1EYgjHvJMWJmCJcDQyjOGwdFkfQofa9/aU8cNvPrMPypFR1b+6P/KKUshgeer8WsloS38KgIhrD1KjM4o1Uu9sRHc0TPyCR3Mo27MCyd6Z81shGvqkkfZmTlq4wEFInRi0C0SGfSaWPIGEkJdw2IWrpJBMTgE1OhXB7rC3rru9dzHoofv6L9rcr3g4+vlvheaxcg74RYficsKWWUy+T9bJlBPLHvt2nJcJ7E4sOfiyQlR1X6JvWN61tPsO5ze1to9ZSEGTYGMPiyrbXc4MSTW4p+9Tu4J7NrvPJcL8ek/OsxgwysWkgX+uN8VztFr4TB8S/l3XrGmZVcK2s++E+nt4W27U0xCc6J6mr3s3vt8ic5yX0ujCa+8DSb4GU4UYjfwZjDX+EAdc90cM2aE5FqqsFj/DEp0z9rbWt3ZO//AEQ+LbFjYX0vaF4LkeRPmtiD3xPvO7kQKd09Kv5L3OmSlsBmLPWHiXgbPCOujozD2mmDudWf3s3lmzvCu8AJDucsp7z23Oy3rZekb+iTMLESX5yMcbigQBbhUJraGCUp73U04ua2eBlJoJG5+gAtxGDDEIbBNBi45T6bmrIOjidYGn/Cxt5twtTBEEMHHYmZcweCjDbFQ234pCh6TOLfQFsVCMPEQ7KaqdfbgJoxnUmBolq1tn/ACH+3gBXb/ZsFCJ6UCZ/vRDRzBjvngJC6J7lzbGWNs4Vf7QtAkJBaPsL5fg0U4Gsts410r298ZC+FBCt4uFZOewqRAbV/Wf5ZPdauDl9y4UXzat55W3/W29t7jV94UHrWTh8egfQuf+BVOxm5kIdtjz0sV/sM/eNgcsD4Dnlgz4bCV0o+UgxPv2DdLtoAmbIg33HsuHBreTj17/YWJfLiHd/xYjOYn4wP/4cWjiRHoOxLrBvppzMw7G0PwpR191djq/ent8XApHnNltK7Uy4/ueeUx2GxV7bTodeCkTJQ7/rfbkXGmTza28PR4RRbAZ+HtCrf203j4bw9opK61D3NXtAMPMbx6aD+w0C7Gk/+CcY2ELxkcDGLGD5zIS2tV+sjbGf2rJn3C+xStcKc+RIYx3tTtW/tH+D6gQBQSwtBBC00ELaEnZ00YmJFbKPZK+/phGPEzv1wTqK5H4aQRYvUZjwYjcKdoTcIHboQMAVf39td6rhFUyAShbK/VF1aourTrzAqoTNNhCmPZw40B9ZHVZzsvvCw+y73HSBUOi5DyYxkYIDioJ+4OJwJJiLB+/NPb7vcVfn/H6uAVYqIokF5mdk9AGktK4GjipZnsaIE2BJA+GkPKXOiK+0441JS+iLniF+GhWZiw1tt7jW9NNnwML7xg8sCTcsH3waHCNKGMjz6ooy7BiLYWYROTT93kFcboGh/hZ7uYbPYwPzJ/eDWiAOjYjQlWrD6Yk2jrh5dYkxS0dZ4YeKN2Z88oHW3i3/ClNUZ9tW5n4XjWt9FzHgh46s92v81wyXNjgvboQmmOUm/bvdCxsTanrIWQHfqUOUspjXgQ/AqvXnsnBKpPmfNoDz9he+G1kWwMzpQO/tcXQr7DTrkjuZ2XPGftp4/4MgqSIcKj6Enb+MraMfz90IcXRVZad1yTGcF9qEA0RiiLkxHehJrc/YxAtDvG9WOh04jy+vPsiHBMp2PZ+0bCR060PMIIS7ByakrHPHNNaGuT4lJPfBnRWZE9rBU4FUae9dygEHRcZEqVkAleFrZng0a40vS8DxOChQ0nVpIv7o9uK+x41XtWMYvLGIzwqWVdp99yVq2xTMgg73qd0b2y1jCs41g4NW54SH95fHhlZOkHFkstvESAXDPxAtFD6AJOPFmW/JoRwsNkqOgHj9O/CmEgGOe+w+8InfACQWJe5NfnD55QriaeuInP84YT3tMfHh6LuCucWrdfV3zR2q4c3iOYhCW+RB8KYI+XVeFTYuqydHsIpZZbu+ZFWwNDlx56VK/i3+HgI/zPY7Omp0940NwzB7e8mQ7PPa8MX6O3uYtWPBJhvsgiOI3wwnv6oT8xOkZtHHmmH2QbQ88aqz4y/uGIT2YyLm2QCz4jIBPRiOEInnBoN/BSp+ZTBaKQSY6pdFyO4CFM8gDDXBjGT71ci8PnWn6UCcFXz+BQXgQsxtDxDqvjFNzkGFE9sWqDd6RuhVOvwYAHuPCCX3VfZ/h4bpITWuoFp0sYuuIzus5Y7I2HBwbmQfc9TJQ6NSf00MLCKf7RT2O4JtxCL7iGZ/Kswr7tNdjBC05bdMfDrOn0w7jxHo7SdIR3xgdOrvt8GeGGtjxncxLvwAsP9rWRo7Qz1mLj4edr8KU++R3FJbRSL7zQ52zKJE8byT1HK/M9ssO4X6LMAhON8HVkCbiEdHBLueBUc2XSF8/XytZ6a9d40LjjT+NV5VD4c6sdeIW/R3y01v6qAlmreOm7rc5cCvdx1ftf6s8MV89n79B17V3oPiuzBTv1e17h5Tp5L/so7q/R9hqMtXe1f3vK7SlTYT7M64pLvb6kzcddfwvn2+K3BX/v+47H0fu0o96sbp5PFUgKBFjyPJ/lyuVd6twmvyasS/A40n7KJp/Ror6/BKdaJ7CS13ej673lRnVnzx4GzFlbeX7bNtfqr71L+w87X8Nh7R28tt4/bNyvCX9PX/aUuRZOj7Kta+G8F84lfZsqkL2NnuVOCpwUOClwUuCZSYFTgTwzx/3s9UmBkwInBW5NgVOB3JqEJ4CTAicFTgo8MylwKpBn5rifvT4pcFLgpMCtKXAqkFuT8ARwUuCkwEmBZyYFTgXyzBz3s9cnBU4KnBS4NQX+DzHRBn4HVkKCAAAAAElFTkSuQmCC[/img][br][br]Use this table to select a sample of 5 straws. Pick a starting point at random in the table. If the number is between 01 and 35, include that number straw in your sample. If the number has already been selected, or is not between 01 and 35, ignore it, and move on to the next number.[br]

IM 7.8.14 Practice: Sampling in a Fair Way

The meat department manager at a grocery store is worried some of the packages of ground beef labeled as having one pound of meat may be under-filled. He decides to take a sample of 5 packages from a shipment containing 100 packages of ground beef. The packages were numbered as they were put in the box, so each one has a different number between 1 and 100.[br][br]Describe how the manager can select a fair sample of 5 packages.
[size=100]Select [b]all[/b] the reasons why random samples are preferred over other methods of getting a sample.[/size]
[size=150][size=100]Jada is using a computer’s random number generator to produce 6 random whole numbers between 1 and 100 so she can use a random sample. The computer produces the numbers: 1, 2, 3, 4, 5, and 6. [/size][/size]Should she use these numbers or have the computer generate a new set of random numbers? Explain your reasoning.
[size=150][size=100]A group of 100 people is divided into 5 groups with 20 people in each. One person’s name is chosen, and everyone in their group wins a prize. Noah simulates this situation by writing 100 different names on papers and putting them in a bag, then drawing one out. Kiran suggests there is a way to do it with fewer paper slips. [/size][/size]Explain a method that would simulate this situation with fewer than 100 slips of paper.
[size=150][size=100]Data collected from a survey of American teenagers aged 13 to 17 was used to estimate that 29% of teens believe in ghosts. This estimate was based on data from 510 American teenagers. [/size][/size]What is the population that people carrying out the survey were interested in?
A computer simulates flipping a coin 100 times, then counts the longest string of heads in a row[br][img]data:image/png;base64,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[/img][br][br]Based on these results, estimate the probability that there will be at least 15 heads in a row.

Information