Calibrated Gas Accretion and Orbital Migration of Protoplanets in 1D Disc Models
Authors: Schib Oliver , Mordasini Christoph , Helled Ravit 
Published: July 2022

&lt;p&gt;We aim to develop a simple prescription for migration and accretion in 1D disc models, calibrated with results of 3D hydrodynamic simulations [1,2]. Our focus lies on non-self-gravitating discs, but we also discuss to what degree our prescription could be applied when the discs are self-gravitating.&lt;/p&gt;
&lt;p&gt;We study migration using torque densities. Our model for the torque density is based on existing fitting formulas, which we subsequently modify to prevent premature gap-opening. At higher planetary masses, we also apply torque densities from hydrodynamic simulations directly to our 1D model [3]. These torque densities allow modelling the orbital evolution of an initially low-mass planet that undergoes runaway-accretion to become a massive planet. The two-way exchange of angular momentum between disc and planet is included. This leads to a self-consistent treatment of gap formation that only relies on directly accessible disc parameters.&lt;/p&gt;
&lt;p&gt;We present a formula for Bondi- and Hill- gas accretion in the disc-limited regime. This formula is self-consistent in the sense that mass is removed from the disc in the location from where it is accreted. Fig. 1 shows an exampe of the time evolution of semi-major axis and mass of a growing, migrating planet. Our proposed model &quot;High mass torque&quot; is shown as purple dash-dotted line.&lt;/p&gt;
&lt;p&gt;We find that the resulting evolution in mass and semi-major axis in the 1D framework is in good agreement with those from 3D hydrodynamical simulations for a range of parameters.&lt;/p&gt;
&lt;p&gt;Our prescription is valuable for simultaneously modelling migration and accretion in 1D-models. We conclude that it is appropriate and beneficial to apply torque densities from hydrodynamic simulations in 1D models, at least in the parameter space we study here. More work is needed to in order to determine whether our approach is also applicable in an even wider parameter space and in situations with more complex disc thermodynamics, or when the disc is self-gravitating.&lt;/p&gt;
&lt;p&gt;&lt;img src=&quot;data:image/jpeg;base64, /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAYEBQYFBAYGBQYHBwYIChAKCgkJChQODwwQFxQYGBcUFhYaHSUfGhsjHBYWICwgIyYnKSopGR8tMC0oMCUoKSj/2wBDAQcHBwoIChMKChMoGhYaKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCj/wAARCAGYBFcDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD6pooooAKKKKACiiigAooooAKKKKACivFfFXiP4veGvsM97H4BktbzUILCMQreFw0r7FLZIGBnnH5Gum/4u16+BP8AyboA9Eorzv8A4u16+BP/ACbo/wCLtevgT/yboA9Eorzv/i7Xr4E/8m6P+LtevgT/AMm6APRKK87/AOLtevgT/wAm6P8Ai7Xr4E/8m6APRKK87/4u16+BP/Juj/i7Xr4E/wDJugD0SivO/wDi7Xr4E/8AJuj/AIu16+BP/JugD0SivO/+LtevgT/ybo/4u16+BP8AyboA9Eorzv8A4u16+BP/ACbo/wCLtevgT/yboA9Eorzv/i7Xr4E/8m6P+LtevgT/AMm6APRKK87/AOLtevgT/wAm6P8Ai7Xr4E/8m6APRKK87/4u16+BP/Juj/i7Xr4E/wDJugD0SivO/wDi7Xr4E/8AJuj/AIu16+BP/JugD0SivO/+LtevgT/ybo/4u16+BP8AyboA9Eorzv8A4u16+BP/ACbo/wCLtevgT/yboA9Eorzv/i7Xr4E/8m6P+LtevgT/AMm6APRKK87/AOLtevgT/wAm6P8Ai7Xr4E/8m6APRKK87/4u16+BP/Juj/i7Xr4E/wDJugD0SivO/wDi7Xr4E/8AJuj/AIu16+BP/JugD0SivO/+LtevgT/ybo/4u16+BP8AyboA9Eorzv8A4u16+BP/ACbo/wCLtevgT/yboA9Eorzv/i7Xr4E/8m6P+LtevgT/AMm6APRKK87/AOLtevgT/wAm6P8Ai7Xr4E/8m6APRKK87/4u16+BP/Juj/i7Xr4E/wDJugD0SivO/wDi7Xr4E/8AJuj/AIu16+BP/JugD0SivO/+LtevgT/ybo/4u16+BP8AyboA9Eorzv8A4u16+BP/ACbo/wCLtevgT/yboA9Eorzv/i7Xr4E/8m6P+LtevgT/AMm6APRKK87/AOLtevgT/wAm6P8Ai7Xr4E/8m6APRKK87/4u16+BP/Jum+EfEfi9viPc+GfFsegbE0ldRSTTFmzlpjGATIf9lu3pzQB6NRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRWV4qtNVv9Burbw9qaaVqj7fJvHgWcR4YFvkPByoI9s5oA1aK8OtIPidH8Rh4YufiFavu0o6kJ/wCw4SBiYR7doYHPOc5/DvXW/wDCL/EX/oo1n/4Tsf8A8doA9Eorzv8A4Rf4i/8ARRrP/wAJ2P8A+O0f8Iv8Rf8Aoo1n/wCE7H/8doA9Eorzv/hF/iL/ANFGs/8AwnY//jtH/CL/ABF/6KNZ/wDhOx//AB2gD0SivO/+EX+Iv/RRrP8A8J2P/wCO0f8ACL/EX/oo1n/4Tsf/AMdoA9Eorzv/AIRf4i/9FGs//Cdj/wDjtH/CL/EX/oo1n/4Tsf8A8doA9Eorzv8A4Rf4i/8ARRrP/wAJ2P8A+O0f8Iv8Rf8Aoo1n/wCE7H/8doA9Eorzv/hF/iL/ANFGs/8AwnY//jtH/CL/ABF/6KNZ/wDhOx//AB2gD0SivO/+EX+Iv/RRrP8A8J2P/wCO0f8ACL/EX/oo1n/4Tsf/AMdoA9Eorzv/AIRf4i/9FGs//Cdj/wDjtH/CL/EX/oo1n/4Tsf8A8doA9Eorzv8A4Rf4i/8ARRrP/wAJ2P8A+O0f8Iv8Rf8Aoo1n/wCE7H/8doA9Eorzv/hF/iL/ANFGs/8AwnY//jtH/CL/ABF/6KNZ/wDhOx//AB2gD0SivO/+EX+Iv/RRrP8A8J2P/wCO0f8ACL/EX/oo1n/4Tsf/AMdoA9Eorzv/AIRf4i/9FGs//Cdj/wDjtH/CL/EX/oo1n/4Tsf8A8doA9Eorzv8A4Rf4i/8ARRrP/wAJ2P8A+O0f8Iv8Rf8Aoo1n/wCE7H/8doA9Eorzv/hF/iL/ANFGs/8AwnY//jtH/CL/ABF/6KNZ/wDhOx//AB2gD0SivO/+EX+Iv/RRrP8A8J2P/wCO0f8ACL/EX/oo1n/4Tsf/AMdoA9Eorzv/AIRf4i/9FGs//Cdj/wDjtH/CL/EX/oo1n/4Tsf8A8doA9Eorzv8A4Rf4i/8ARRrP/wAJ2P8A+O0f8Iv8Rf8Aoo1n/wCE7H/8doA9Eorzv/hF/iL/ANFGs/8AwnY//jtH/CL/ABF/6KNZ/wDhOx//AB2gD0SivO/+EX+Iv/RRrP8A8J2P/wCO0f8ACL/EX/oo1n/4Tsf/AMdoA9Eorzv/AIRf4i/9FGs//Cdj/wDjtH/CL/EX/oo1n/4Tsf8A8doA9Eorzv8A4Rf4i/8ARRrP/wAJ2P8A+O0f8Iv8Rf8Aoo1n/wCE7H/8doA9Eorzv/hF/iL/ANFGs/8AwnY//jtH/CL/ABF/6KNZ/wDhOx//AB2gD0SivO/+EX+Iv/RRrP8A8J2P/wCO0f8ACL/EX/oo1n/4Tsf/AMdoA9Eorzv/AIRf4i/9FGs//Cdj/wDjtH/CL/EX/oo1n/4Tsf8A8doA9Eorzv8A4Rf4i/8ARRrP/wAJ2P8A+O0f8Iv8Rf8Aoo1n/wCE7H/8doA9Eorzv/hF/iL/ANFGs/8AwnY//jtH/CL/ABF/6KNZ/wDhOx//AB2gD0SiuH+DOsarrvgWG81+8W91AXd1A86wrEGEc7oPlXgcKP8A69dxQAUUUUAFFFFABRRRQBx8Gv6qPignh67SzWxfSpb9DEGMm5Z0jXLHA6MTgDr3NdgSACScAd68vuNd0hfj9bK2qWIK+H5rds3CcS/ao/3Z5+9wfl68Gu8l1awuNZuNAE7DUhaC6aLy24iZigbdjb1B4zn2oA4oeOb0/D4+Og0H9k+YZvsflnP2Pzdm/fnPmbfn6bf4cfxVuW+t3mt+Ktd0rSbmC2i0dIFeVovNMk8qGQAjI+RVKZxyS3Vcc+bG2mH7NB8Lrt/tzy/7E+y/x/aPO2bdvXp8+f7vzdOa7DwdDH4c8e+Oo9RnjgiufsmoQyzNtDwrAInbJ/utGc+mVz1FAHUeBfEA8UeFrLVfKWGWXfHNEpyEljdo5FB7gMrY9sVqT6jZW8pjuLy2ikHVXlVSPwJrjvgjp9zp/wAOrH7bG8U11Pc3ux1KlVlneRMg8g7WU496seJPhd4L8S6vNqmu6BbXmoTBQ8zu4LBQFHRgOAAKAMD426tp39ieHHF9assfiLTpH2yqdqicEng9AK66z8c+G7twkeqwqx/56q0Y/NgBXknxc+FHg7RtI0OXQNFt9OvZ9csbX7RGXYqryhTwWwa2bn4T6qsjC2v7KSMdC+5CfwAP863oQpSv7SVuxpTjF35mev2t5bXiFrS4hnUd4nDD9Knrwe++Fmt/2ddXBkCXNujNF9lvJopGwM4Xy8Ek44BrkrST4gefJbw33ia1mij8w5MjFFBAJ2SAjHI7VxV66p1XTSbXfv6HbTy9VKM60Zq0Ve3Xrp66fifUtFfOeo/EDxnaafKdO1KA3MQBC3sKlMZGd2F3dM9+tVF+OfjSzjLy6No2q7eqW4kt3I/FnFbYhxw9T2c5K5isFWlTlVirxjq32/qx9L0V5D4Y+NSalpkN3q3hy8095AT5EcyyuvJHIYJ6Z/GunT4peE0txNf6idPXgH7XEyquTgZcZUfnWjozUea2hzckrXsdvRWXo3iLRNbUNo2sadqAIz/otykv/oJNalZkhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFedRf8nD3X/YrQ/8ApXJXotedRf8AJw91/wBitD/6VyUAei0UUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAedP8A8nDw/wDYrP8A+la16LXnT/8AJw8P/YrP/wCla16LQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHnfwD/5J2n/YS1D/ANK5a9Erzv4B/wDJO0/7CWof+lcteiUAFFFFABRRRQAUUUUAFFFFAEX2aD7T9o8mL7Rt2+btG7Hpnrii4toLjZ9ohil2NuXeobafUZ6GpaKACiiigDwP4h+LvEWrzeGbLVfA+oaPZjxHp5+2zXUciEidcDavPNe+V538bf8AkEeGP+xl0z/0eK9EoAKKKKAK2oWFrqFrPbXkKywzRmKQHgsp6jI5rjYfhR4TiuJJUspsMu0Rm4favuOc5+pIru6KiVOM/iVzWNapGEqSk+WW66P1R5frfwotzZk6HeyJcqOEuiGRvQZUAr9cGuA1r4U+IdVsLizv9Jhngyp2pdqBLg54OQRjA64r6PoraVWpKHs+ZpWsHtW6TpNb9dbr0sz4n8X/AAZtfDrrK51WynQq/TdCc/wpKBjP/AiRXX+HfEWu6FocUema1f3EtvC3lrPcmXJ5IBDHb1OORX1LcwQ3MDw3MUc0LjDJIoZW+oNczP8AD3wpNcCZtFt0cMG/dFo1JHqqkAj2xg1z4WM8K3rz3/m6fgdLxFF0XHktPpbb59fM+eNM/aB+IuiusXifwhDfxAhfNhjeAsT/ALY3IfwFep+DPjppPiG1kku9F1bTZYnCOkiqwBxng5BI/CneK/hJdXpuG0fXGEUrlxaXkK7U6/KjoAQo/wBoMfeuEi8A+KtK+1pdaXi1ghe4NykiujBcZACkuWI5A284Pfipw1WalbFR0/u3f/BLlQwvsJVozd017r3a01+/8D3fTvGXh/UDiDVLdW6bZiYjn0G7GfwroK+QdYuLK90W7Sxv45hKhgYxEF4mYEfMvVT14ODxXM+C/CvxBhEi+BPFsiPDt22T3xtjMTnhI2Yo2MdyOoradfDSaVGV7901+aRFbL6tOm6yXup2vdb6f5n3JRXzn4R8d/EjQoriy8cNbS6nDLsMc8MZITCkHdEQCTnrk1veFf2kPB2qajJp+tGfRrhJTEs0w3274OAQ45XPX5gAPWtp0ZQipPZnG4NJNnt1FR21xDdW8c9rLHNBIoZJI2DKwPQgjgipKyJCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArzqL/k4e6/7FaH/ANK5K9FrzqL/AJOHuv8AsVof/SuSgD0WiiigAooooAKKKKACiikLKpUMQCxwAT1PX+hoAWimTzRW8ZknkSKMdWdgoH4mng5GRyKACiiuZ8Q+LoNDW+murG8azsXhS4nCYH70qFKZx5gG4ZxyOgBPFAHTUUUUAedP/wAnDw/9is//AKVrXotedP8A8nDw/wDYrP8A+la16LQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHnfwD/AOSdp/2EtQ/9K5a9Erzv4B/8k7T/ALCWof8ApXLXolABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHgPxB+HS+HJ/DOqDxZ4u1MnxHp6/ZdS1Lzrf5p152bRyO3PFe/V4H8Q/idoHiebwzpGmR6mt2PEentm4spIkws65+ZhivfKACiiigAooooAKKKKACiiigAooooAxfEPhbRfEFvNFqlhDKZdu6VRskyudp3jnjJ/M+przrVvhMul6M58Nr/aV+l0JlS+ufIJi28xhlQjduGQWXvjNev0VlUo06mk1c0dWbp+yb9297dL97HzL8QLrVtNt9JXUYmtLi8R5PIu0je4QxttK7wWyvQjDYIIJA6VS0zwL4H+JEss3iIy6P4kuJHczWTeXHckjhmVtyhs5JC7QeK+l9d0TTNfsGstasbe9tWOfLmQMAexHcEdiORXFeJPBt8dd0+bTLexvNFEcVnJaP+5ntEHy+bFMAd+BjKPnpwQTiub2FWjG1CV0tk27ffqd1bGwxFKNKcUpc13K2rXktLfkeI+HvB/i34Vwz2GrapP8AYZboNZPbTN9n3BTyvTa53HKnBO3uBmvZPAvxG+0yR2HiBlWVsLHdYwGPo/offp/OvJ/E3ii+GqX+lQX39p6JBNJZm2mG+KQAgMrLngggEcgjgjGa5K+8Xal8NvEeiXz2ttrWhM3mK0jEyAY5hZj0kQk4Yj5gFPrXoYbHUqtP2VaPLJFYvCLDU4OTTUk2rb29P67H2pRWX4Z12x8R6HY6ppsm63vIEuEViN6q4yNwBODwR9QfStSpPLCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvOov+Th7r/sVof/SuSvRa86i/5OHuv+xWh/8ASuSgD0WiiigAooooAKKKKACvOPGNnBD8Wfh7cIp86a4vt7Fy3S0fAGTwPYYr0euI8WaJ4g1Hxt4Z1bTrfSms9GlnkInvJEkm82Ex9BEwXBYnqc47UAQG4OpfG2XT7pFktdN0NLiFHGQJZpmVnx0ztjCg9QCw7moPh1JPeJ4w0W3vJ7KHS9clgtXtwhMUTJHL5ah1ZQoLsAMcDAGMVt3uiXVt43h8TWUKTvJp/wDZ93biTaxAfzI3QnAOCXBBxkMD2wZfA3h6TQrbVZrsxG/1XUJtRuBESVRnwFQEgEhUVRnAyQTgZoAuW+j30U8ckniPVp0VgxikjtQrj0O2EHB9iD71zPj+y1zV9P1O1s9O/wCJlDNHJot3HIPLjYBD5ku44yr78jacqBgEmu/ooARchBvILY5IGMmvK/8AhdWn/wDQneOv/BK3/wAVXqtZXii61Wy0K6uPD2nRalqibfJtZZxCsmWAbLngYUk/higDy3wX4sh8W/Hhrq30vWNNWHw08Rj1O0Nu7H7UhyoJORz1+tez14v4L1DxJqPx4aTxbodvo10vhp1iihuxcB0+1J8xIHHORj2r2igAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAoooJABJOAKACioba7t7rf9mnim8s7X8tw20+hx0NZXjDxJaeFdHOpX8VxLCHEe2BQWyc46kccUnJJXZpClOpNU4rV9Dborh/C3xL0TXLG5ubiaPTRDJsEdzMu9xgHcB+Y4z0rM+KHxDtNJ0ZF8Oa5pj6u0q5gSWOWQR4OTsySOdvJFZ+2hyuSdzWOFqPErCy0ndKz6X2PS6CQBknAFfPnh/42zaTplwPEjxXd08paOWaZLcKuANuAvPIJ/GuK8afHe18fouhWuhXFtFFN5y3CymdpCoK7RGidDuJzk9KiOIjOLlBXsV9WjDGPB1ZWaaTfRX9bH1rDNFOGMMiSBTtJRgcH04rM8S+IdM8NWKXmsXBggdxErCNnyxBOPlB7A/lXy1ofivxToOnSWWjW+oRwSyGRl/dwkNgA53kODwOMdqTwvoPxK8d69JBrXiO3u4BG032a6uXVI/mADBUj27hnH0J5rVKvKDl7Nq3cr2NKGMdKbbppr3l1Xdbn0to3jrw7qtg95FqdvbwJKYs3TrCSQAeAxHHIrmPEnxn8L2CCPQr+y129DfNBa3PCr/e3gEYzgfjXOab8DbtQv23xKsanlo7WzGfwd2P/oNcPovw/wDCnhvxo1gmnXNyftf2WSa5u23MhkAJwgQDoD0oo0sRWi0kk0EFQWMenNRT+bXXsej2PxutpLN2udCvDc7yFWCSMx7cDGWYg569FNcEv7SV/wCJLqS00DRRpflLvaeeYTMwzjbt2gDrnqele7ad8PvCmn58jQrJ885uFM5H08zOPwrkPildX2lX1lY6Oqw2Lw7/ACIrdCu8MRkDbxxiihh61a9NyV2FOpSWNdSMb076Rfbs9zN8EfEbxVqOmzD+xpdYnWY/6RGuxUGBhCFXHqc5711Pxnj1yXwzaf8ACOf2h9o+1L5i2RcOUKN1284zj9K4XRLjxZLqlk2NZe3WdGdVWQJtDDOQOMYr3qrq4OVGPJOfNf8AAcqyo4x4mCVr3UdLLy2R5f8As2CRfhLp6zhhMLu8D7uu77TJnPvXqFed/AP/AJJ2n/YS1D/0rlr0ShaHFJ3bYUUUUCCiiigAooooAKKKKACiiigAooooA87+Nv8AyCPDH/Yy6Z/6PFeiV4H8Q9F8c2U3hm48R+LLLU9L/wCEj08C1i01YWyZ12neDnj9a98oAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAOa1zwlYXV7eazptlYQ+JXtXt4ryaEuuSPlMiAgPjpk8gEgcEg+ReM/C1lf/Dq+vNY0JtJuI5TDeaezZjaUEAS2790ywKn0yOxB+gq5Tx94Oi8VWttJDcmx1azLG1utnmKA2A8ciEgPG4ADKfQEYIrnxGGhXjaW/R9UzahV9lUU36dNnva9z5d+GMFz4TvJbjR9SuInUbE5BJjYHcjgjDLuwy8Aqc4+8c/VPgHxLF4n0Tz9yfa7d/IuUUj5XAB6dsgg4968m1TwXo80Ost4Ue8N5o87Q6lYSKwl2n5g0Y+8VKnK4J3AcEsMHT0LxNN/YazeGv7NufEyeVLKhRRJrVrGhwgcdJQh4PIyB2YgOOMjFRw1WNp9+j/4PkdeJjTrynUwsLQT+e1723tue1UVDY3H2uyt7jypYfOjWTy5l2umRnaw7EdCKmrc84KKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArzqL/k4e6/7FaH/ANK5K9FrzqL/AJOHuv8AsVof/SuSgD0WiiigAooooAKKKKACiiigAooooAKKKKACsrxQdbGhXR8LLpzaz8vkDUS4g+8N27Z833d2Md8Vq1leKpdZg0G6k8MW1pc6uNvkRXblIm+YbtxHI+XcR7gUAeW+Cz4tb48N/wAJwmhre/8ACNP5P9kGUx+X9qT73mc7s56cYxXs9eLeCrnxVc/Hhm8aWOmWV4PDTiJLCVpEZPtSckt3zmvaaACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiqurXq6bpl3evFJMlvE0rRxAFmCjJAyRzxQ3YcYuTSRapHdUQs7BVAySTgCvK/DXxisNT1e5i1K3XTbFIi8UjMZGZgRwQB3BzgelWfHHjPwxrfgm9sk1K3N3exOILR3AmLKeGKdQMqDkjHSsoVY1NKer7HRVw0sPiI4fEe63Z93Z9TvtO1fTtSmni06+trqSDHmiGQPsznGcfQ/lWf461ufw54XvNVtreO4kt9v7t22jBYLn8M183eHJ9U0JrhrDUJLYzqEk8k4JAORz2qLULj40+NRLo2iWzDw6h8sXM6Rqs6g53NJJ8z8/3e4x2rSVLERheceW/oa4ilSw2KSh79NW1790eo+DvjElyt+3iWNY3UobeOziJyOdwOT9Op71l/GX4peDr3wkdKGqhNUuPLnS3aN8oAckMwG0HG4Yz1rm/DnwM8YaSJNU1fXba/vNmxdOtlOw5Yc722gEf7vrzXdeGvg1o15dvqHjbRbW9vEVUtw8zMFXJJDKDtPJ7570oYdui3Unrtb+v8gqYiKxX1rDrlSatH0t+Z4X4Q+Kz6NMdL8P30+6/lRT5UAIDdMksMgc8keldn4i8SeLPEtotlq+p2C6epB8iCzO5yvRmkZySfXAAPpX0dpvh7R9Ls5LXStLsbC3kQoyWsCRAgj/AGQKxbP4d+G7YDdZNOw/illY/oCB+laYWlh6UWqib+ZE8U6uJli5/G7PTZW7L5HgGg/CzxH4tlkl0bxHaaVpseI5i0HmzF+uQuANuCP4gc5rqtL/AGZtC0pZtQudY1XUtURXkQAJFFI+CfmTBJBPbdXvGm6ZY6XE0enWkNsjHLCJAu76+tW6TjTjNypxsjCrUdSq60tZPd9Twz4d/DyFtaU+IPC1rJp4jYqt3aoUWTjB2sOuMjp3r2qwsLPT4RDYWlvaxD+CCMIv5AVZorStVdWXM1YmcuZ3PNNX+GDanrd7etqawR3EzShFh3EZOTzkVs+EvAdt4c1L7bFezzy7DGQyhVIOP8PWuyoqpYmrKPK3oN1JNWuFZD+GtGkv3vZNOt3unfzDI67ju9ea16KxUnHZkptbBRRRSEFFFFAHnfwD/wCSdp/2EtQ/9K5a9Erzv4B/8k7T/sJah/6Vy16JQAUUUUAFFFFABSOwRGZjhVGSfalpssayxPG/3XUqfoaAPKF8W6kfhKfiCLqbzOb77HhfK+y+bjytuOvl87853c52/LXq6urRCRfmUjcMdxXiraPef8KKPgFYpv7e2/2V5fln7vnY8/PTy/L+fdnH8P3uK9Ytr8R61/YyWF+EhtEnF4Yv9Hb5ivlh8/fGMkY6EGgDy5PG2qr8Ho/iNNdyCXzRcvYYXyRbm48sw4xncE53Zzv/ANn5a3vF8usTeMpE0/xqdA02DToJ5YFsIrjfukm3S7nB2ABFBYgr61z/AIj0KLxV4JuPDWmadqOmy6jfMsumycw2S/aN0k7EDChlDOqbsFnG0dx3r6tPpOta0dZjjGnhIv7OS2tJHmlQJ86kjIdt5YKgAIHOOc0AdHp4VbC3CXLXSiNcTswYyjH3iQADnrwAOeKxdX8beFdGv5LHV/EmjWN7GAXgub2ON1yMjKsQRkEGs/4PaPqOgfDTQdN1oFL6CFt8Zbd5QZ2ZY8/7KlV44+WtTVPB/hnVr17zVfDujX124Aee5sYpXbAwMsyknAAFAHnPxU8Z+GNctfC9noviLSNQuz4j01hDa3kcr4E65O1STivY68f+K/hLw5o1n4Xu9I8P6RYXQ8R6aomtbKOJ8Gdcjcqg4r2CgAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAOX8W2cumC78TaBpEN/4hht1hZC7I1xbq4doxjgvjdtyOpx0JrwrxVojWmo2firSpLhtC1N1u7a6WPyzbu5yqOABsO44HTnA619O1xmpaXqM3izULXUlGo+D9Ys9k0czqBZTLhcKMglZAc8ZIZc8ZqJQjJpyV7HXhMZUwjlKnu00ee/DfxWdK8S30utaksen6gN8zT5x9o3KquD0XIODnjCr0xz7rXyv4z0abwjfXGj6iGvIip+zyyc+fAeAX/wBocq3qQT0Ne2fCPxRZ6z4ft9Oha7Nxp8EcZa6cO8qhQN24Y3YPByM9CfvAnoxVeg6qVN6vp/X5GlbBVVRWKUfcfU7yiiisjgCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArzqL/k4e6/7FaH/0rkr0WvOov+Th7r/sVof/AErkoA9FooooAKKKKACiiigAooooAKKKKACiiigArK8UawdA0K61NdN1HVDBt/0TTofNnkywX5UyM4zk89Aa1aKAPGPBfihvFPx4a6fQdc0UxeGnj8nV7XyJH/0pDuUZOV5xn1Br2evOn/5OHh/7FZ//AErWvRaACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooACQOpqO4kEUEjmRIwqk75Pur7n2r50+JetajB8TJLa51iYLbTrJYpuVQrbQ4AUcEjnnqQOaPN8QeK7xow17qMpYEqCSiE9Mj7qD8hW2FovEJzbtFOx3VcHGmoSU07q78vL/MgHxV1/S/FD3utXkclrbtJFJbBhFAOoz+BwcnJ/Oprb45y+KBd6Vp724n2u0kkcR2+WcLtUseoycnHcYpdP/ZsTWdan1Txrrl5LDI5kjsbd+UzyQ0jZ754UfjXsnhP4d+EvCcKpoOg2Ns4/5bGPzJT9ZGyx/OubD03Rqc03zLt0JxuJjia0akYKKirWWz89j5n/AOFZ+PvFWsMPDv2bTdDIXF7M2znHIHVyfdQBz1616F4M/ZrsNGvF1PV/Ed/f6qAdrxoI4wSMHIJZm6nuK+gaK092M3OmrHPVqyqz9pN3fd6s4rTfhr4ftMGaKe8cd5pOPyXH6111jZ21hbJb2UEcEC9EjXaBU9FXOrOfxO5Lk5bsKKKKzJCiiigAooooAKKKKACiiigAooooAKKKKACiiigDzv4B/wDJO0/7CWof+lcteiV538A/+Sdp/wBhLUP/AErlr0SgAooooAKKKKACiiigAooooAKKKKACiiigDwP4h6r48u5vDMPiXw3pmn6V/wAJHp5Fzb3/AJr5E67Rtx3r3yvO/jb/AMgjwx/2Mumf+jxXolABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFY/i/QLbxP4bv9HvSyRXUe0SL96JwcpIv+0rBWHuK2KKAPOdb0CHx34Mm0e61K0m8UaUgt5byGMgQ3flKSSp52NlSR0P1HHiPwz8V6jpWt3llfWVzp+paWfLmDx5hMgba6Aj1GG9xnnpn6C10aV4T8Tr4muDeRnVmt9JufK2+QGLERTS55BBPl7gf4wCO45r4y+GZPJl8Q6fCZGijzdxr1IGAH/AdfYZ9ayng8PiH+/bVtbrfQ7MLVqOpCHNor2V9NdGmttT0Lw3rltrunrcWxAccSR5yUP+Hoa1a+X/hl4tng1B5bG4ifa5UIjZDH+KM/z+v4V9H6DrFrrVitzatz0eM/eRvQ1x4TGc83QqP318uZd/8ANdDXH4OFKUpUJKUU7OzvyvszRooor0TzgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArzqL/k4e6/7FaH/ANK5K9FrzqL/AJOHuv8AsVof/SuSgD0WiiigArO1n+05Ejg0gwQySZ33U671hA9EBBZjnjkAYJOcBTo0UAcg/gh7h/MvvFPieebqWS+Fuv4JEqrj8KnttI1vRGD2Gs3Wr2oPz2epbDJj/pnMqqQfZ9wPTK5yNbXJZAtnbRSND9ruBC0q8FF2sxwexOzaD23ZHNYRZLePV7mz0/UNPl0uTCyzsdl+AoY4+Y7wclQzDIPSgDr6KKKACiiigAooooAKyvFGg2PifQrrSNWWVrK52+YIpWjY7WDDDKQRyorVrM8Ta9pnhjRLnV9duhaadbbfNmKMwXcwUcKCerAdO9AHlXgvwbo/gv48NZ6DHcJBP4aeZxNcPMd32pBwWJI4A4r2ivGvB/jLQPGnx5N54Y1Bb+2g8NPDI6xum1/tSHGGAPQivZaACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiuc8a+Krbw1pzvujlv3H7m3LYLc9TjoB+uMV4D4j8f+LRFNb2895fy6hKFhtbRMSNJj/VpgZVcDJ9gSe+XOFSNP2ii2jaNGUqcqkd0r26v06f1oej/HHVbqGfT9Lg1PyLe6idpraJgsjgEDJOc7TnGOnHft5JrD/EDxFeWmleC5L2eYRGF7sXTILJMActkbcjoc5ODgHFdD8PP2f77UdcPin4nahcTajLJ54sIrlmZTnIEk2cnHTCnsPm7V9F6bYWmmWcdpp1tFbW0f3Y4lCqPXgd/ei1N0+WUdb3uTUqe1pRpTWid10/Ldng3w3/Zr0rR7qHVfGOoTaxqqv5vlwu0cKPnOS333OeckqPUGve7KztrG2S3sreK3gT7scSBVH4Cp6KV+hmFFFFABRRRQAUUUUAFFFFABRRRQAUUEgDJOB71Wl1Cyi/1t3bp/vSqP61MpRju7FRi5bIs0Vly+IdHj+9qdp/wGUN/KqkvjDQY/vagh/wB1Hb+QrGWMw8fiqJfNG0cJXl8MG/kzforlZfHmhp92WeT/AHYj/XFV2+Iel5xFbXzn2Rf/AIqsJZpg4/8ALxfebLLMW/8Al2zsqK4v/hOt/wDx76NfSfh/gDR/wl2rSf6jwxen3Jb/AOIqf7VwvSV/RN/oV/ZeJ6xt6tf5naUVxf8AwkHiaT/VeHtv++T/APWo/tLxpJ9zR7NB/tMP/i6P7Tpv4Yyf/br/AMg/s6ovilFf9vL/ADO0orjPN8bSf8sLCL8R/iaPs3jaT/l9sIv+Aj/4k0f2h2pT/wDAf82H1DvVh9/+SM74B/8AJO0/7CWof+lcteiV5v8As+CRfhpAJmDSi/vw5HQn7VLmvSK9BO6OB6BRRRTEFFFFABRRRQAUUUUAFFFFABRRRQB4H8Q/hf4Z8LTeGdY0iG9S9PiPT1zLeSyLhp1z8rMRXvleA/EH4gTeIZ/DOmSeDvFelKPEent9s1Gx8qA7Z143ZPJ7V79QAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQBR1vSbHXdJudM1a3W5sbldksTEgMOvUcg5AORyMVk+B/ER8R6Xd/a7UWmoWN3LY3lrv8zy3Q8fMQNwZCrA45DV0lcpqd/e6T4+0eCO1jbR9Yjmimlih+dLtFDIzsOqtGrrz0KjmgD5w+I/gTWvhl8WNO1zwDtGmXk4u/snmBEiZT88bj/nmQxxjpkgcgZ9C0rxnHJ4nu7rR4PsMnmcWrNlZk7j698D8Pfvviz4e/tXRft9umbuyBY4HLR/xD8Ov5+tfP9zcWGn6na3OrsYNOmP2ea7UnNq7EeXKR/EgPDDrhsjpWeNy1YrDe0pP34u/p6HdhqqoQnUjq7bdJeT+Wz6PXXY+p9A1q11uyFxathhxJGT8yH0P+NadeWalpzeDNM03VodXje8YLHKW+5ck88Y6jHc9cZyDXc+GfENrr1pvhIS4UfvISeV9x6j3riwuMk5fV8RpP8H6efdE1qEJQ9tQ1j1XWN+j/AEfU2qKKK9E4wooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvOov+Th7r/sVof8A0rkr0WvOov8Ak4e6/wCxWh/9K5KAPRaKKKACud8ceJD4V0+01B7G7vLM3KxXItIGmkjjZHw4Uf7YQH2J74roqjuHijhdrhkWLHzGQgLj3zQBxdn8Q/A/iMNp51y1inYjNreM1nOrA5GFk2sGBAII5BGRW9Z2UF1O3m6pdagtpKuYpCgRJNqupOxV3EBlYZyOQeoBHHeLdc8AW9u0Orav4XvLVeunX88MuB/0zByV+mNvAA29a1fhLaeGYNAvLnwT5aaPfXjXAhRGQQv5caMuD7pnjj5uOMEgHbUUUUAFFFFABRRRQAUjqrqVdQynqCMilooA84EaR/tDRCNFUHws/CjH/L2tej150/8AycPD/wBis/8A6VrXotABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFefePvibp/hbUIrCKE3t4GBuEVtoiQ89e7Y6D86h8efEI6TqB07RhFLcwsPtEjfMq99mB39fT69PNPAXgjxb4+8R6jrfj24hXSzOTA8K7XuFHRIx/BGOmTk5yOeWor0a0aSnDqd2DjQp1VLFxbh5fgN8PWmoePtau308SuBNi4ubjcUhyAcF8DcQCOB+gyR7h4R8HaZ4Zi3WyGe+ZcSXcoBc+oX+6vTgegzk81taXp9ppVhDZadbx29rEMJHGMAf4k9SepPNWq1liKk4KM3scs530T0/rcKKKRiFUliAB1JrIzForGvvFGjWRImv4WYfwxnef/AB3NYsnjuKZymk6ZeXr+y4H6ZNcdXMMNSdpTV+y1f3I7KeAxNVXjB27vRfezs6K4v+0fGF9/x7aZb2aH+KU8j8z/AEo/4R/xNe83+v8Akg9Rbg/021l/aDn/AAqUn8rL8bGn1BQ/i1Yr53f4XOykkSNS0jqijuxwKzrjxBpFvnzdStQR1CyBj+QrAj8AWTsHv769un9SwAP8z+taVv4O0KDGLFXPrI7N+hOKPa46fw04x9Xf8l+oezwUPinKXorfm/0ILjxzocOdlxLMR/zziP8AXFUv+E8jnP8AxL9Jvrn04x/LNdRb6Vp9tj7PY2sZHdYlB/lVzp0o9jjZ/FVUfSP+bD22Dj8NNv1l/kji/wDhI/Edx/x6+HXj9POLf120eb42uekFjaZ9wcfq1dpRR9RqS+OtJ+ll+SD69CPwUYr1u/zZxf8AY/i6f/j41yCPPaJen5KKP+EQ1Sb/AI+/El4w/urux/6F/Su0oo/sug/jcpespf5h/adZfAor0iv8jjB8P7KQ5ur++mP+8B/MGrMXgPRE+9FPJ/vSn+mK6qiqjleEj/y7Xz1/MmWZ4t/8vH+X5GBF4O0GPpp6n/ekdv5mrcXh3R4/u6Zaf8CiDfzrUoraODw8fhppfJGMsXXl8U2/myrFp1lF/qrO2T/diUf0qyqqowoAHoBS0VvGEY7KxjKUpbsKKKKokKKKKACiiigDzv4B/wDJO0/7CWof+lcteiV538A/+Sdp/wBhLUP/AErlr0SgAooooAKxrjxV4etrk21zr2kw3AODFJeRqw/AnNP1nQ4NakVNSkll09V5sgxSOVs9ZMHLjGBsPy9cg8Y5OfX/AIW6NNNpk174SspLdjFJbEwRmNgcFSvYj0oA7+GWOaJZIXWSNhlWQ5BHsafXF+DrLw7qNvFrngd4rKzknkRxZALbXQSRkcmMfISSpIcYbpyRlT2lABRRRQAUUUUAFFFFAHnfxt/5BHhj/sZdM/8AR4r0SvA/iH4N1vRpvDN/qPjbVtYtT4j08fYrmNFjBM64ORzxXvlABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABWJ42tdTvfCeqQaBdPaasYC1pKmP9avzKDnsSNp9ia26KAKekXE97o9lc3tq9pcTwJJLbSYJiYqCyH6HIryL49/DDw/qXw3vbi3tZbW60wNdwy2+CecbvM3dUA5ODkBcj0Pe+FNPutD8SeIbS4u4JLDULn+0dPiabMy7gPPXaf4A+CMdPMxxxXS36LJY3CPALhWjYGE4/eDH3eeOelO7tZPccXZnzV8I9bibT9P8F+L5zf6Wyi3s5pQA8EhPyBWHODnaMk44HTNd0PAfiLQNdhbQbkXFnklJWcK8WAThh79OOD3xXj3jjwZD4weO08OWMek30JxZ26SSFWIHCMWJw3GN2Bz1wCSO9/Z9+MV1fXH/AAhnj7zbbXrV/s0F1cAqZ2HHlSZ6S8HBP3sev3uTE5ZdcuI33TW5246VF4mNfCwdOyXXfun3T2d99z13wz4sh1C4Om6lttNYj4aFuN/uM9/auprjvGPgHTvEUr3iM9nqnGLiM5DEDA3L3+owaxvDWt674d1M6X4ylElptxBdkbixz3buMeozyKxjXlhUo4l3XSX+Zx3qYiu406Wj2tr/AMFfielUVh6X4s0PU7yW0s9Rga5jcx+WTtLEHHy5+8Ppmtyu6MoyV4u5nGcZaxdwoooqigooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArzqL/k4e6/7FaH/wBK5K9FrzqL/k4e6/7FaH/0rkoA9FooooAK57xr4S03xjYWlhrcYmsYbkXLQkcSEI6qD9CwbuDtwRg10NZ2tW2oSpHNpF3HBdRZxHOm6GYH+FwOR04YHI9CMggGFpfg2PQMf2AulRKOdsumRIforQiPH1KtWp4au9XupdXXW7OG1aC88q2ELtIkkPkxNuDFVz8zOOnBBHOM1lP4i8T25KXHgi7uJBxvsNRtnjPuDK0bY/4DU1tJ4n1lgt3Zw6BY5+fFwLi6cf3RtGyP/ey564AOGoA6miiigAooooAKKKKACsrxR4f0zxToV1o2vW32rTbnb5sPmMm7awYfMpBHzKDwe1atFAHjHgvwT4f8D/HhrLwvp/2G2n8NPNInnSS7n+1IM5dmI4Ar2evOn/5OHh/7FZ//AErWvRaACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAry343fFPSfA+gC3S+zrF9mO3S3YM0S7trSt1wFwR6kjA6EjQ+J3jP+yom0vTJP9PkX97Ip/wBSp9P9o/oPwrz74ffD3SfF+tx6trlnFcw6ZIGRZEJEkmCQpPRlHBKnPbIwa6Hhn7F1JO3Y2jTko+0XQZ8JPAl9rOoJq+rxyx6VxKBKpBu88gjPO3nO7v26nH0KiLGioihUUYCgYAHoKjubiG0gaW4kSKJByznAFcjeeMZb2drXwzZSXk3QyspCL7//AK8V5c8RSwcFCcvRbt+iO6tPE5pU9q4rRJN7JerOxkkSKNnldUReSzHAH41zWp+NtKtG8u3d72fOAsAyM/73T8s1Qi8JahqrrN4m1KSUdRbwnCj+g/AfjXTaZo2naWoFjaRRH+/jLH/gR5rH2mMr/BFU13er+5aL5sj2eEofHJzfZaL73q/kjmf7S8WavxYWEemwN0kn+8Pz/wDiaUeCri+IbXNZurnvsQ4A+mc/yFdrRR/ZsJ615Ofq9PuVkL+0Zw0oRUPRa/e7sw7DwpotkB5djHIw/im+c/rxW1GiRoEjVUUdAowBTqK7aVCnRVqcUvRHJUrVKrvUk36sKKKK1MgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA87+Af/JO0/7CWof+lcteiV538A/+Sdp/2EtQ/wDSuWvRKACiiigArzgaprEVzqEWlfDdrmyF5cAXD31vH9obzW3ybX+bDNk89jxxivR68l8R6lqN/q9zGfHttpFp9raynsY7O2lFqp8xYmmMoY/vDGeu0HeAM9SAeh+E4Lu30OFL+0hsp2Z3+ywyeYsCs5KoGwAcAjoMDoOAK1ZXWKJ5H+6gLH6Cuc+HSRReFIIIb46gsM08Zu/kCzMJX3MoQBVXOQFUYXGOcZPSOodGVhlWGCPagDxhdbvD8DT4+86ca3sOqb/NbG3zs+RjOPL8v5NuMfxfe+avZY5RLAssYyrqGX3yM15K3hLUz8Ij8PRaz+fn7CLvjyvsvnZ87d6+Xxs+9u4xj5q9LhuL5NdaxGmBNIjtVdL77QCWl3EGLy8ZGFAO7OOcUAeNP4iv7X4Dj4gXV1OviKOb7VIWlYLkXXltbbM4Cbcptxwfm+9zXcaHdL4r8ceL7e9aZrHSjbWltGkrRhWeESvINpHz5dQG6gLxjJzk654Yu/FmgS6NfaGmnXV9eltQlhkP2aOETbi6AnDSyRqF3Bcgu24jod/T9OufDfjTxRqKWVzd2Wsi3uY/swDFZ44/LaMgkYyFQhj8vLZIwMgE/wAJtbude8DWV1fyGW8hlntJZWxmRoZXj3nHchAT7k1X8T/FbwT4X1mbSde16Kz1CEKZIWhlYqGUMOVUjoQetXvhh4en8L+CrDTb0ob3dLcXGxtwEksjSMoPcAvjPfFdHJa28rl5YInY9SyAmgDwz4h/FHwZ4sHhfTPD2uRXt8fEWnSCJYZFO0Trk5ZQK95rzX402tvFpXhhooIkb/hJdN5VAD/rxXpVABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQByPjqxtYL7Q/FF1qEWnJoU0jzzSIWV7eVCjxnHTLeWc9itddVHXtLttb0S/wBKvl3Wt7A9vKP9l1Kn8eazfA1/aXvh+O3s7m4uTprtps8lyu2UywHy2LAdzt3e4INAGTrqN4b8VaFeaZYRGx1S8e01F44S8qvIuYpAf4V3rhu3zg9q8V8c/DXxTr3iPXbeS2l1CYqZ1vCREJcD93tY4Af5QAB0I9Oa+kfEFpc3+hajaWF29leT28kcNzGcNE5UhWH0ODXkifETxFaajpqa3ai0aCOMXlrswzsVG4k9upIA46dar6rLFvR6rU9HAYyphudQinzK2pkfs7/GKfW5v+EN8bM8HiW0JihmnG1rnbwUcHpKMf8AAseoOfeNRsLbUrVre9hWWJux7H1B7Gvlz9pfRfDut6rZa54SvdnipdskptuFlAGUZmyNso4wevrjANd1+z58aI/GMCeHvFDrbeKbcFAXGwXgXqQO0gxyv4juBk+SpeD17o5ZUa2H5akk431T2+4v+Kvh+mnyPcJA91YnkvEdssXuex+uD+Fdd8OpEtdAuguq3OqtGS6RSD97GgXhNuTznPQ46V2tcprnhJZbj7focv2DUFO75OEc/wBP5e1eU8HUwc/aYZc0f5eq9H+j+RtGOFxMuaquSp/Mtn/iS/MzdH+Julzz/Zdagn0i8BwyTqSoP1xkfiBXc21xDdQrNbSxzQsMq8bBlP0IrgpNTsdQYaV460yJLgcLO6fKfcMOV+oOPpXRDSX0zwm9h4TaGGUITbSSNuUFjkknBz1OOvaunCYr2ybTvb5ST7NHFUwuKwjtWtKNtGuvp0Zv0V5mnjnXvDzrD4y0STys4+2Woyp/XaT+I+lei2N1He2VvdQ7vKnRZE3LtOCMjINdVOtGpot+xjSrwq6LddHuT0UUVqbBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV51F/ycPdf9itD/AOlclei151F/ycPdf9itD/6VyUAei0UUUAFFFFAGfda5pNrJdpdapYwvZx+bcrJcIpgTg7nBPyjkcn1qXStTsdXskvNKvLe8tHztmgkDqcdeRXnfj6zGqarJp09/okGjQ31vq+rtNehZRDCqERPERgKzIh3swGCePXqfAuoNrFrqGq4shDd3O6I2d0twjIqIgYsoA3fKcjtgDnGaAOmooooAKKKKACiiigAoorK8VaQ+vaDdabFqd/pTz7cXlhJ5c0eGDfK3bOMH2JoA49/+Th4f+xWf/wBK1r0WvFvBXhibwt8eGtp9f1nXGl8NPIJtUn810/0pBtU4GBxn6k17TQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVzHxE8Y2Pgjw1Pqt8rTS/6u2tY/v3Ep4VB+JGT2Fbmr6hDpWl3V/dbvJt4zI20ZOBXzf4ql1rx3rcckYlnmU7IbeMfLEpb26ckZY+gyeBTdOo6cqkFex14PDRxFTknLlXfz6Enwj8LeK/HPiDXde8aXkUenSzgpFCASz4BKof4UVcDnJJ/En2i71fTPCdlBo+jW/n3MY2R28fOCe7HqSTz6msTTrq7t9LsfC3hqRZriCMJcXyKFQH+IjHuT83U+55rrfDXhq00SMuP396/wDrJ3HJ9QPQV5bxmIxaVKg9Fo5dF5R7v8EdEKCwtNPGPmfSK0v5vql26+hi2nhnUNcmW88U3L7c7ks4zgL9fT8Ofeuxs7S3soFhtIUhiXoqDAqaiunD4Olh9Y6ye7erfzObEYupX0lpFbJaJfIKKKK6jlCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDzv4B/wDJO0/7CWof+lcteiV538A/+Sdp/wBhLUP/AErlr0SgAooooAKp3ml6ffQ3UV7Y2txFdKEuElhVxMo6BwR8wHvWP42m1p4LHTvDV1b2F9fTGM3txF5ot0VGZmVMgO/AABOOSe1Y2lv4p8PbrTxbq8Wq6dNxHrdtapby2zntNF8ybT2cDAP3gAc0AdtYWdtp9nDaWFvDbWsKhI4YUCIijsFHAFT1yHwl1u/8ReA7LUdWlWa8ee6ieRUCbhHcyxqcDjO1BnHeuvoAKKKKACiiigAooooA8D+IcXxGWbwyfFdx4Wk0b/hI9PwunpOJ93nrt5f5cete+V5d8Y9W0670/wAMQ2t/aTzf8JJpp8uOZWbicZ4Br1GgAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK5HTZdM0T4gX2j29tPDc61C2rtKz/upJE2Quqr2bHlsfXOa66uR+I19beH9PtPE0+nxXb6XOitKzENbwSusc0i464U5IPZaAOurxnxh4E1CTxLrt3bSxzR3jx3dnA02ZWbbsnRVP8ACCqOMcfOwr2YcjiuR8e6fAJ9E8STX8OnDQLlrma4lBKm2dCkqHHqCpz2Kirp1HTkpRKjJxd0cPpvwa+13Frc63eiNcEzW8A+Y9No39PXPH09awPjt8Dk1KBPEngGNrPxBYqrtBCxU3IQDDKeolGBz/Fj15r6E3rs37hsxndnjHrXjHxM+KN7ZXwsvDTQiBGG+8+/vI5KqDwB2zzntWVVpc1Zr1sejR+s5nOGG5ttr6Jf195X/Z5+Mq+NLceHvEzrb+KbVSuWGz7Yq9SB2kGPmX8R3A9wr5g+MPw2ufE2j2fxL8D2lzp3iJFF1d2cSlHkZf8AlrH33jGePvDB69fQf2f/AIvW3xE0j7DqbRweJrRP38Q+UXCjjzUH8x2PsRTTuro86cHTk4S3R6nqmm2mqWxgvoFlj7Z6qfUHsa49tL1vwq7S6NI1/puctbPyyj2H9R+Vd3RXJiMFCs+de7NbNb/8FeTOnD4ydFcj96L3T2/4D80YGheJdN11DBkRXBGGtpsZPrjsf88VL4r8PxeIdJWxa5ntFR1kRoMDBGcZHpz046Co/EHhaw1jMrL9nvOonjGDn3Hf+fvWEmqa54XYR6zC2oaeOBcx8so9z/j+dc0sRVw65MZG8f5lt81uvyNZ4OhjItYd6v7L3+T6/mUILbx54anjihlh1/TywXMpxIoJxkkncPzYCu51bXNN0eS2TVLyK1a4JEZkOASMZ56DqOTTtI1ex1aHzLC4WTH3l6Mv1HUVFrugaXr0Ai1WzjuAudrHhkz6MORXZTS5OajK6e2t0eS8NUw/NCN79pdP1NKGWOaJZIXWSNhlWU5BHsadXBaR4CuNB1u3uNE1u6i00Sbp7STkMPT0Pp0zjvWh4q8b2/hrVoba/sLxrSSMN9rjXKhiT8vOM8DPB79KtVeWN6qsSq/LHmrLl/E62isvRPEGla3Fv0u+huOMlAcOv1U8j8q1K1UlJXRvGSkrxd0FFFFMYUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFedRf8nD3X/YrQ/wDpXJXotedRf8nD3X/YrQ/+lclAHotFFFABRRRQBwPjTwvquv6jBYpFZDQpdSt9RvpWlPmSpCq4g8vbghnjQ7i2MZ49dnwVe3GonWbq7tVs5mvNpgDEsoEUeC+VUhiMHp028nrXIeP/AAxaa1rt/NqvhW81uWBI7q2lZw0PkIYw9uilxiVsykDAycZbGMdB8K7ewttFvE0TQrnQ9JN0Wt7a6tjbyt8i73Kn5sbsgFueOPl20AdpRRRQAUUUUAFFFFABRRRQB50//Jw8P/YrP/6VrXotedP/AMnDw/8AYrP/AOla16LQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRXDfFPxQ2i6atlYylNQuh95TgxJ3b2J6D8fSrp03UkoxKjFydkeYftD+Iz4gvoPCdnchNIhlD6myOQZ3XlYcjooPLc9RjjbXQeDdE+xaPa+GvDpZpfKA1DUGkMm4ZJ2hv7ozjjrj0rhfD3hF9a1eAQl3aSTJVyWz3LMT2r6Q8PaPb6JpyW1sMnrJIRy7ev/ANavGrRr1688NzWgtJW/9JX69tj3K1LCYKMMRSbc3HZ7J/zW/IdoekWujWS29mmO7ufvOfU1oUUV6dOnGnFQgrJHiTnKpJzm7thRRRVkBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAed/AP/knaf9hLUP8A0rlr0SvO/gH/AMk7T/sJah/6Vy16JQAUUUUAUda0my1qwey1ODzrd+oDFGBxjIZSCpwSMgg8ml0rS7LSdHttLsIBHYW0IgihJLBUAwFyxJPHqa5j4l+KX8KS+FpxPFFBe6zFY3CykBTFIkmWJP3dpCtn2x3rG1WzsfFtxe6lN4/1PTbO0uFto49J1GK3hiJ2hN7YO9nLAjJxyFAyDkA63wFZpY+FLOCPQ/7AG6WQ6b5qy+QzysxwykjBLFsDgbscYxXQVi+EJbt9H8q/u/t01vNJbi82BTcKjEBiBxu4wcYBYEgAcVtUAFFFFABRRRQAUUUUAeIfE34eeE/Do8M6pomhWllqB8R6cpnjB3Yadcjk969vrwP4h+KfFOqzeGbPWfAt1o1gPEenkX0moRTKSJ1wNijPNe+UAFFZ/iDWbDw9o11qusXH2bT7VN80pRm2rnGcKCT17CvPf+F//DL/AKGdf/AK5/8AjdAHqVFeW/8AC/8A4Zf9DOv/AIBXP/xuj/hf/wAMv+hnX/wCuf8A43QB6lRXlv8Awv8A+GX/AEM6/wDgFc//ABuj/hf/AMMv+hnX/wAArn/43QB6lRWF4Q8V6J400d9R8N3322xEjQGVY3iw4AJGGAPRhzXD+BbJtT8ZePbC+1LWpbXTr6GG0T+1LgeUjQK5AIfJ5J65oA9VorgND1W6t/Hmq+BtXup7uM6emp2F2XKTGAuY3jd0wdytjDDBKnkkjJp/A97m+0jV73UL/UL24h1a9s42ubuSQLFHLtVdpO3IA64z15oA9LorkfFWszp4w8MeHLWZ4P7T+0XFxLGBvEUKD5VJ6FmdOeuAcYJBGNdeKtR0qfxxpkaz6hcaLBBe2pCB5jDKpyMDG9kKOR3I2g5OSQD0eiuF8KeJLTXdT02fwtrMms6VcQyPeFyGEBGNjE4BRycjyzjjJAG2u6oAKKKKACiiigAooooAKiu7eK6tpYJ445YpFKMkqB1YHsQeo9qlooA5n4ca1ea54Vgn1aJIdVt5ZbO8jjQqgmikZGKg/wAJ2gj2Irc1Wwt9V0u80+9TzLW7heCVP7yMpUj8iawtNuNZi+IWs2V4s82iy2dvdWMvlARwuCySxbgOScI+CSfmPaunoA5LwlHp2p+EZvD4u7i+TSs6PdSzJ5cjSRKoJI9SCrA98g1h+FPhpFp+qNd6vJFdJDITbxbcqcdGbPf2/WttJdM0D4hm1S3uI7zxNG1wZi4MTS26Iu0L2cxnOe4T2rrq0jVlGLgtmXGpKHwsiuriG0t5J7mVIYI1LPI7YVQO5NfMnxv+F1zZXsXxL+FkrR3KH7ZcQ2ffuZowOoIzuXvknHUV3vx3vYL8WulQXdws8LF5olOIjkfLuHcjgj0ya6f4MaVcaX4Oi8/UVu45282OJOVgz1UHrnPUdAfxJzlCrFpuPuvqdbw1JYX23P79/ht0Mb4F/F7T/iRpIt7ny7TxHbIDc2oOBIP+ekfqvqOqn8CfVa+Zvjn8Hb7SNVPj34Y+ZaajbP8AaLmztRggjrJEB+O5Oh5x3B734D/GKx+I2nCyv/LtPE1umZrcHCzgdZI/b1XqPpzQcJ65QwDKQwBB4IPeiigDk9X8G28s32vRpm069XkGMkIT9B0/D8qqQeJtT0SRbfxRZsYycLdwjIb644P6H2rt6ZNFHPE0cyLJGwwysMg/hXnTwCjJ1MNLkl+D9V+qsehDHOUVDEx51+K9H/ncg0/ULTUYBNYzxzR+qnp9R1H41PPDHPE0U8aSRsMMjqCCPcGuS1HwYIZzd+Hbp7C6HOzcdje3qP1HtUNt4svdKmW28U2TxHotzEuVb3wOD+H5UljpUfdxceXzWsX8+nzG8DGsubCy5vJ6S+7r8jW07wfomma1/alhZrb3OxkwhOwZ6kL0BxxxjqaxPEeo+M9H1i4urOwt9T0YkFIY+ZEAAz0wck5PRhXZ2N7bX8Amsp45oz/Ehzj6+lWK6/ZxnH927LfQ8mphuVckfcd+mmpzHg3xjaeJ2nihtrm2urcAzRSrwuTjr/jg109NWNFkeRUUSOAGYDlsdMn8TXnmoeCdc02+udQ8K6/Oks0jSvbXJyrsTk84wfxX8ablOnFXXN6EOVSlFXXN3tp+B6LRXP8AhK+1ubTbh/FFpDZzwuVyh4dQMlupGPx7GrWieItI1xM6XfwztjJjBw4+qnn9KuNSLt0uaRqxkl0v0e5rUUUVZoFFFFABRRRQAUUUUAFFFFABRRRQAV51F/ycPdf9itD/AOlclei151F/ycPdf9itD/6VyUAei0UUUAFFFFAHEa9Fr9/r11FZeLYNBt4toht/sMcrzLtUmQtIeRuJXAHG2rvgG3vrVNbj1TXl1y4F+D9oESx7B9nhwhVflGOvH97PUmuL8W/8Irc+NdWTXvBGpeJbmIxp9qi0prtIB5SMIgTwPvbvl/vnOO/TfCgaQthraeH9BudBtF1HBs7i3+ztv+zwEsI8fKCCPrgnvQB3FFFU59UsLfULawmvbeO9uSwht2kAkkwpY7V6nABNAFyiql/qNpp/lC8uEiaUlY0PLSEDJCqOTgc8dqms7qC9to7izmjnt5BuSSNgysPUEdaAJaKK53xb4kGhNp0cVv8AaZrq9trZxuwIUlmWPe34twO5B7A4AOiooooA86f/AJOHh/7FZ/8A0rWvRa86f/k4eH/sVn/9K1r0WgAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAAkAEnoOa+W9a8Rp4l8TXdxB5s32iYi27lkzhMY6cYr0j48+MpbbwjqWh+GZd+uXebR2GQLdCuXbdjGcfKMcgt7GqfwK8Aw6bp9jf3mbiS0jEcUsmSXfuwz2HQf/AFq56uMq4arGnR+KV+my7/1uell7oRVSVeN0kutnrsrdb/gj0LwL4bTQdNVpVH22VR5h/uDso/r7101FFXRpRowUI/15vzZxVq0q03Oe7CiiitTIKKKKACiuK+J3xI0T4cWVjdeII7147yRo4/ssauQQMnOWHrXnv/DUfgP/AJ9td/8AAWP/AOOUAe70V4R/w1H4D/59td/8BY//AI5R/wANR+A/+fbXf/AWP/45QB7vRXhH/DUfgP8A59td/wDAWP8A+OUf8NR+A/8An213/wABY/8A45QB7vRWFcyaf4m8GC7ktlnsL6zFzHHcRg/KyblyOQCMj6GuD+DHhjRtW+D/AIanvdPgN5NZhmvI18u43En5hKuHDe4OaAPWaK8K1TV59f8Agh49t9bKXereGpr7TheMgDu0IykwwPlYqy5I7g+ter+BbG1sfCWkrZW0MAktYZH8tAu9zGuWbHUn1PNAG9RXBaNcf8JP488Y2l+0zWekNbWVvGkrIFZovMeQbSPny6gN1AXjGTnlIfHN7D8OvD+t63BeX+l217cWOsSWv+txHI8KSsq4LKSoLAd26EcUAe0UVx/w51K21mDUdR0S8+1eHZ5l+wkylyCFxJjJyq7uinBGDwARXYUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHnfwD/5J2n/AGEtQ/8ASuWvRK87+Af/ACTtP+wlqH/pXLXolABRRRQBka1qlzpMqzPp9xd6cV/ePaIZZYWz1MY+Z1x/cywPYg5HOap49+H2o2jWes6zo0sTkFrTUMAkg5GYpBnIIB6dRXdVT1q7fT9HvryNUZ7eB5QHYhflUnkjJA47A0AY2keIo9Wkt4fDdhPJp6EB7yWBreBEH8MYYAyHHA2jaO7cYPS1y3hTWtTvLgQapJo93FNE09te6VMWjdVKhlZWzg/OuCGYHnpgZ6mgAoqPz4vP8jzU87bu8vcN2PXHpUlABRUfnxef5Pmp52N2zcN2PXFP3LvK7huAyRnnH+QaAFopEZXUMjBlPIIOQaWgDzv42/8AII8Mf9jLpn/o8V6JXgfxD+HcHhybwzqkfiXxTqDHxHp6/ZtQ1EzQfNOvOzaOR29K98oAzvEWi2HiPRLvSNYg+0afdpsmi3sm5cg4ypBHTsa85/4Z6+GX/Qut/wCB9z/8cr1eigDyj/hnr4Zf9C63/gfc/wDxyj/hnr4Zf9C63/gfc/8AxyvV6KAPKP8Ahnr4Zf8AQut/4H3P/wAco/4Z6+GX/Qut/wCB9z/8cr1eigDA8G+EtE8EaM+m+G7NrSxMrTmPzHlJcgAnLEnoo4rh/AOo/YPGvxAvb3Tdchtb+/gltpG0i6xKqwKpI/d+oIr1eigDz3RtOuL34han451G0ubSzh01dLsIHhYzyR+YZJJWiALKS2Aq43YHIGcVifCPVf8AhH/C+tDVdK1+GV9YvbqOL+xrtneN5CyEAR9xXrtFAHl7R6hda54E8Y6jaXVuix3kV5DLERJaJcAPF5i4yAuxUY44zk4AJqCfTtUuNe8a+I9MS7FveNp1nCYQVlmtoXBuXi75KSSBSOSVyvUGvV6KAPM7Hw1o0Pj/AEjW/BMD2Mjb49WS3iaK3mg8p9okUgL5ok8vH8WN2eK9MoooAKKKKACiiigAooooAKKKKAOY8X2usNq3hi+0RpnS11DbfWyy7EktpI2RmYEgMUJVh34OOtdPWJ430U+IvB+s6Oj+XJe2kkMb5xscqdrZ9mwfwq34enmuNCsJLuW3muzCq3D2774zKBh9rdwGDD8KAMX4k3EOleGpfELaYmo3Ohn7dCjMVKAArIykdxG0hx0P6109vNHcW8U8Dh4pFDo69GUjIIomijnheKZFkikUq6OMqwPBBB6iuZ+HWsXWq6NeQ6lBDBf6ZfT6fMkEZSPEb/uygOcKYzGfxoAZ4+8IxeJLISQ7Y9ShH7qQ9GH9xvb37fnXEfDv+2vDv9q3d5DPHpFortcwmMszOo/gHr6npjrXsdFbrESVJ0un5GsKllaSujyn4efFKXxH4mm02/s/KS4YtaGIFtgA+6/4DO719unA/Hn4NXdrqLeOvhsJLTV7Z/tFzaWvyszDkyxAfxeq/wAXOOcg+u36+Gvh4Lq/trJEvL+TPlxn5mHGQufuqOuOmfwrRk8deHYrSwuZtSijjvH8uPd1Vu+4fwgcZJ45FcsKdSnT56m3c7MZ7LE1k8HTaVtt9Vv/AF8zg/gL8Z7H4gWMemas0dp4ohT95D91boDq8fv3K9uo46exV88/HP4Htqt0fF/w8/0PxBEwuJLeBvLFww58yMj7snf0b2PWT4JfHmPWbiPwz4+A03xFG3kJcSr5aXDjja4P3JM9uhPTBwKs84+gqKKKACo7iCK5haK4jSWJuCrrkH8KkopNJqzGm07o46/8GeRObvw7dyWFyP4NxKH29R+oqKDxXqGkSrb+KLF4wTgXMQyrfh0P4flXbUyaGOeJo540kjYYKuMg/hXnyy/2b58LLkfbeL+X+Vjvjj/aLlxMedd9pL5/53INP1C01GDzbG4jmTuVPI+o6j8atVyGo+CoVm+1aFcyaddDkBWOw/1H8vaqy+I9Z0JhF4ksTLBnAuoB1+vb+VL69Ohpi4cv95ax/wA18/vH9ShW1wsr/wB16S/yfyO3dFkRkdQyMMFSMgj0NcTrnw10TUJPPsFk0u7ByslqcKD/ALvQfhiuo0nV7DVot9hcpLjqvRl+oPNX67LUsRFPSSPMr4ZN8laOq7nPWkWo+HPCMgmluNa1C3RmXqWlOflHc9MevesXRvibo93L9n1RJ9KuwcMlwvyg+m7t+IFd3WbrOhaZrUXl6pZQ3IxgMy/Mv0Ycj8DRKE1b2b26P+rmM6dSNvZS26P/AD3L8E0VxCksEiSxOMq6MGVh6gjrT6wdc0u/Xw3Hp/he5isJ4QixM4yAi/w5weuBzg965FPGPifw86x+LNDeeDOPtdoM59zj5c+3y0TrKm7TXz6BPEKk7TT9eh6ZRUTXESLEZnWJpSFVZGAJbGdvuevT0qWtjouFFFFABRRRQAUUUUAFedRf8nD3X/YrQ/8ApXJXotedRf8AJw91/wBitD/6VyUAei0UUUAFFFR3AlMDi2aNZsfIZFLKD7gEZ/OgB4VVLFQAWOSQOp6f0FAVVLEAAsckgdT0/oK80gf4jJqWsxvZeFWt57vbD9ru51EqeRGPkUI3y8HI/vbu3J6zwXYalZadOdXOnJLPL5iW+nBvs8CbVXapbk5ILE4AyenUkA6CvPPGdvDF8VPh3JFDGkktzfGRlUAuRZuMk969Drj/ABL4X1XVvFmhazbavZWyaRJNJDBJYNKX8yIxtuYTL2JIwB260AZ9tcSXHx5voJTmK08PRGEHsZbh95H18tAf90VX+HKLqVz490yd7hbS28QzeV5E7wsu6OORgGQgj52Ynn+I1019oM3/AAk9t4hsJIP7QSzaxuI5VISeMsHXkZKlWyR14Zh6ETeEfD6eH7O8VphPd315LfXUwTYHlkPOFycKAFUDJOFGSTQA+38OWNvPHNHPqxeNgwEmq3TqSPVWkII9iCK5/wAceFNV1TyH0W/IdtRtr2dbiVEVRDIjAIRC5z8vAJwDyc5NdzRQA2MMIlDnLgDJz1P5D+Qryz/hP/H/AP0Se/8A/Bxb/wCFeq1leKk1qTQbpPC81jDrB2+Q98rNCPmG7cF5+7uxjvigDy3wXrWta38eGm8QeG5vD86eGnRIJbpJzIv2pDuynA5JGPavZ68W8FQ+K4fjww8bXOkXF6fDTmFtMR1QR/ak4bfznOa9poAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACmTsEhkcsqBVJLMcAcdSafXkXxp8YWt14cvPDukXUn2u8drW6ljUjyYuQ4DEYLN93jsxPalJ8sXN7IG7Jy6I878Ixz+M9ct4bRmk+1SedJdD518vOWfOO/vjkivpy0t4rS1it7dAkUShVUdgK5D4WeHYtD8OW7iBYJJo1Cxj/llGB8q/1/L0rtKyo1quJhGtXXvW+5f59/8AgHdjasXL2dPZdrq7+d35K/n3CiiitjhCiiigAooooAx/EfhjRPE0MMXiDSrPUo4WLRrcxBwhPBIzWF/wqjwD/wBChon/AICL/hXa0UAcV/wqjwD/ANChon/gIv8AhR/wqjwD/wBChon/AICL/hXa0UAcV/wqjwD/ANChon/gIv8AhR/wqjwD/wBChon/AICL/hXa0UAZepxHT/DsltpWnSTrFB5EFrbGNMLt2qBvZVAAx3rifhkviHwv8NdE0a68LX76nZ2whZftVqIt+T1cSk7eeoUn2NelUUAeTav4K1TTPhD4m0axtX1jxDr7XVzdvbvHHGbmfqR5jrhB8qjvhelbU154li8IabpOn+F9SS9eGC0mne6tUS2TCrJJlZixKruICgkkCu/ooA4mw0658N+NPFGpLZXN3Za0ILmP7OAzLPHH5bRkEjGQqEMfl5bJGBnH8JeFNR8K6d4Wa7t2vltEvJbyCBgxiubiRZBKoON+webHxzh8gda9OooA47wb4dg0vxJr+q6dYNpdhqawH7JgIHmTzN8+wcKWDoOxOzJHNdjRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAed/AP/knaf8AYS1D/wBK5a9Erzv4B/8AJO0/7CWof+lcteiUAFFFFABXOaZdya3ca/perrp5hjlaBLeKVvO8krjMq8bS3UFT0I6EV0dcbqHw28Manf3N3qWl2txNNIZRMIhFPG5JJKzR7ZMc9ycdjjigCS/+HHha8V2/sqK2u3j8truzzbzsMYyzpjf9GyD3Brq55BFBJIRkIpbH0FVND0uHRtMhsLaW6mhizta6uHnkwSTgu5LHGcDJ6ACrxAIIIyDwRQB4Wt5J/wAM2nxWQg1zyjrX2rHz/aPO353dcY+TH935enFe4W8omt4pQMB1DY9MjNebN4Fvj8Oz4D2w/wBl+b5P23zP+XPzt+3Z18zb8n93+LP8Nd2i6qNekUmxGhfZVEYUOLgT7jnP8OzbjHfOaAPGW8Ui2uD4X8S2UdlqE2qFLHxKvzWs7iXdv80D5ZgPk2E43DaSBkV2PjLwTpfiDxpNqmr+Gm1f7Pp0CQObgxqcSTs8YG4Bycpww288kVPJ4Vv7r4ff8IVfWdnNaC0Fh9vMmQYwu0TbMZ80YDY6bud1bD6fqul6vrF7pitqDaisRijur1litmRNgAUg7VP3iy5JJ5HANAGn4U1TTdZ8N6dqGhbP7MnhU26qmwIo427f4duMY7YxXKeLfivoXhfXZ9J1Cz1uW5hClmtbB5YzuUMMMODwa3vh54ZXwf4M0vQlnNw1ojeZMRjfIzF3IHYbmbA9K6KgD5/8efFHQ/FjeFtM0201mK4PiHTpN13YvCmBOufmPGa+gK87+Nv/ACCPDH/Yy6Z/6PFeiUAFFQX07W1lPPHE0zxxs4jXq5AzgfWuT/4THUP+hav/APx7/wCIrmr4yjh2lUdr+Tf5I6aGEq103TV7eaX5s7OiuM/4THUP+hav/wDx7/4ij/hMdQ/6Fq//APHv/iK5/wC1cL/M/wDwGX+Rv/ZeJ/lX/gUf8zs6K4z/AITHUP8AoWr/AP8AHv8A4ij/AITHUP8AoWr/AP8AHv8A4ij+1cL/ADP/AMBl/kH9l4n+Vf8AgUf8zsmYKpZiAoGST0FYg8X+GjnHiHRzjr/psXH/AI9V7RL6XUdPS5ntJLR2JBikzkYPuBXBfDNF/wCFh/E8bRg6nb5GOv8AoyV3wmqkVOOzOGcHCTjLdHojXtqtkbxrmAWgXf55kGzb67umPequna7pGpzGHTdUsLyULuKW9wkjAeuATxyPzrhdDmOg/G/UvDdguzSNR0ZdYFuowkFwsxicoBwocEE+rDPUnLfgCqp4Y10KoUf8JBqHQY/5bGqJPTaRGV1DIQysMgg5BFc/49tIL3wdrHnqXEVnO6gOQNwjbqAefoa4HWtSuNN/Zv0FrOR4prnTtLs96MVKrN5MbEEcg7WbntQB63DPFNv8mVJNjbW2MDtPofepK898UPFoHxC8BLpkMVtFfPc6dNHCoQNEIDIgIHHysgx6ZbGMmu8vWuUtJWsYoZbkL+7SaQxox9CwViB74NAE1FeaeB/Gd3B8LLLxJ4lgi2Torp9mnaSWeWWUhYwjKoUlmCj5iPXAFdRN4insNW03TtXs4babU96WjxXBkjaVELmNiUUqSoJBAIO09DgEA6OiuL8LeMdR12ZlHh8xw2+o3Gm3kyXassDxbvnG5VLoSqjIGRu6cGq0/wARFHgvUPF1tpbzeHreOWWKXzsTXCJkb1j24CMw4JbOOcdqAO9ornNS8RzWHjXRdDksUa31SKd47pZ/mRolDMrJt77hghvXj1yB8Qo7TTvE1zrOn/Z5NFvk0/yrefzjcySLG0YQlVwWMqjnpzk4oA7qiues/EUg8SQaJqlpFbXdzavd27wz+dHII2VZFyVUhlMiHpyD7YroaACuS8A6fBoM2u6JFqEFw0d9JfpbR8Naw3DF1Rh/v+aR7V1tclqNvp2lfEbTtXuL2SG71a1Okx24iJSZ0LTKS3QMFEgGeu6gDra5hLrWYPiRJaSrNNoF3pglhcRDZb3EchDqXA/jWRCAx/gOO9dPXMePbbWJbTSbrw80zXVlqVvPLbxyiMXMBbZKjZIBARy2D3Qd6AOnooooA5vxn4Ss/E1sPNPk3sYxFcKMkD0I7ivP/GPweN29jJoN3tI2xTpcHjHeRf5lfyr2SiiperT9lJ6HXhMbWwk1UpPUzvD+lwaHo1nplvJI8dvHsVpGyzep/Xp0HSvM/jZ8F9I+I1rJfWBisPEsa4S7UfJNjokoHX03dR7jiofikfEFl4ii1Iu8dnEcWksBO2P1DejHvnr05xWL8JbjU18c7V1WUWt2XmuIpAX858Z/A993HTFbTw04U4zgrrrboVCgq0Z1Kk7Pf1fX5nI/C74w638PdbHgn4sxXEcUBEcN9LlngHRdx/5aR+jjJHuOn1Pa3EN3bRXFrLHNBKoeOSNgyup5BBHBFch8T/hxoPxF0b7HrcBS5jBNtexACWBvY91PdTwfrgj5tsNX8d/s564mn6xE2seD55D5ZBPlsOuY2P8Aq5O5Q8Hnr96sTiPsWiuc8C+NdB8caOuo+HL6O5jwPMiPEsLH+F16qf0PYkV0dABRRRQAUjqrqVdQykYIIyDS0UAcrqvgqxuZftGnO+nXQ5Vofu5+nb8CKo/2l4k8PcapbDUrJf8AlvF94D3/APrj8a7iivPnl0FLnoNwl5bP1WzO+GYTa5K6U4+e/wAnujG0XxNper7VtrgJMf8AljL8r/h6/hmtmsDWvCel6qWd4fIuDz5sPynPuOhrF8jxR4d/495Bq9iv8DZLgfz/ACz9Kj6ziMP/ALxDmX80f1jv91yvq+Hr/wACfK+0v0e332O5ormdJ8aaZet5VyzWNyDgpPwM/wC90/PFdKrBlDKQVIyCOhrtoYmliI81KSZyVsPVoPlqxsYfi3wvYeKLSKDUGnQxEtG8T4Kk+3Q/iK5nS/Dvi/QNStY7DWk1DSTIokS5GWRM84B9B6N+Feh0USoRlLm2fkcU8PCcufZ91oc74j8Y6T4d1G1tNUkljadC4dU3KozjnHPPPQHpWtpmp2OqQCbTruG5i9YnDY+vp+NPv7C01GAw39tDcxH+CVAw/Wua07wBo2l+IINV00T27x7v3CyExtkEd+e+cZxQ/aqWlmvxB+2U9LOP3Nf5nXUVxfivXfE2i6u0tloq6howRc+WSZN3c8ZI/wC+T0q34S8caZ4lna1t0uIL5FLPBKnQA4JyOOpHXB9qarw5uR6MFiKfP7N6Pz6+h1NFFFam4V51F/ycPdf9itD/AOlclei151F/ycPdf9itD/6VyUAei0UUUAFFFFAHlvje60vQvFn9q63oGpXl358D2GpW9k92IIhsDxLtBMTZEhIwNwfqeQOx8FTS3dneXx0640y1u7gzW9rcJ5coTYoLMn8BZgzbevOTgkiud8TyyXXiS8t7jx+/hxIdogs4fsqmRSikuTKrEncSMDGABxzk6fw2iSGDXAniN/EWdQybtyhZT9ng+QmNQnHB+Ud+ec0AdhRRRQAUUUUAFFFFABWV4os9U1DQrq10DVRpGpSbfJvTbLcCLDAn923DZUEc9M57Vq1leKLfV7rQrqHw5fQWGqtt8m4ni81E+YFsr3yu4fjQB5b4L0rxDpPx4aLxT4jXxBdP4ado51sUtPLT7Ug27UJB5yc+9ez14x4LsvE1j8eGTxfq9nql23hpzFJa23kKqfak+Ujuc5OfevZ6ACiiigAooooAKKKKACiiigAooooAKKKKACiiigDnvHeujQPDtxcowFzJ+6gH+2e/4DJ/CvEvB3h2bxPrkNuysbNWEl3IT/AOSM+rdPxJ7V0/xv8AGVqsh8OwQRyXCNHJLdHBMP8AEVUY6kBcn0Y967n4X6KukeFreVwDc3qrPIwHYjKj8AfzJq4YyChKhD4nu+lv6/M7oxq4RKcoNXV0+j/4bf7u51wAAAAwB2oooqDhCiiigAooooAKKKKACisvxDdajaWcb6RaLdTmQKyMei4PPUd8fnXP/wBteLf+gFD+f/2VcdbGwoy5JRk/SLf5HXRwc60eaMor1aR2lFcX/bXi3/oBQ/n/APZUf214t/6AUP5//ZVl/adP+WX/AIC/8jX+zan80f8AwJf5naUVxf8AbXi3/oBQ/n/9lR/bXi3/AKAUP5//AGVH9p0/5Zf+Av8AyD+zan80f/Al/mdVqd/BpllJd3fm+RGMsYoXlYD12oCcfhWDa+PfDt1psWpQ3lx/Zko3LevZTpb7f7xlKBQPcnFbmoFjpFyXGGMDZHodpri/gGob4M+FFYAqbIAg9+TXonnnWa54g03Q9KOpancNHp6rva4SJ5UVcZ3MUBwvueKn0fVLXWLJLuwMzW74KPJA8W8EAgqHAJBBHI4rwu1mlT4G/FjSgSbDR7/VLCxBOQkCgMqD2Usw/DHavaPDEscHg7SZpnWOKOwid3Y4CgRgkk+lAF2/1Sw054Ev723tnuJVhhWWQKZHY4VVB6kk9BUl9e21hAJr2eOGMsEBc43MeAo9SewHJrhPjBbwhPClwIYxO3iTTUMm0biom6Z64p/iq4kf4w+BLJj/AKMttqF1tPQyKkaKfqFkcf8AAjQB3Fhe21/AZrKeOaMMUJQ52sOqn0I7g8ip2YKpZiAo5JPavM9N8QWGh/FfxxHq2o2mn6c1vp05kupliQTskinliBuKxp+Ce1S/FXXWvvhvcah4T1nTprY3NvbyzQgXKurzxxsqsrgA/Pz1444zkAHpFFcpf69fWevaP4dWSzn1e/jmuXnEDJFDBHtBPl7ySxLqoG4dz2wcnXfGWpafb+LrJBYjWtC08apG7xOYbmAq5HyhwVbMbKfmPY98AA9Borgb/wAY6tonhSfxDrNjZy2kttatY21s7LM9xM20RPnIAy0fzD1bjjm/d65rGk6/4Y03Uksbj+2biSF5LdGjEBS3llIG5juyUAB44zxyMAHX0VxOm6/rd3q3jTTGbTln0dofsswt32sJIvMxIvmZJHTII9cdqy9K+Ist9p3gmOQWVrqWv6edRnkkz5NvGqKWwu4FiWdVA3DuSTjBAPSqK5/whrk+sf2pDdxIJbC6NuLiFSIblCiusiZJ7PtIycMrDNdBQAUUUUAFFFFABRRRQB538A/+Sdp/2EtQ/wDSuWvRK87+Af8AyTtP+wlqH/pXLXolABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHgfxD0Dxtp83hm58Q+NIdX0z/hI9PAs00qO3IJnXad6nPH6175XjPxU8beGNch8M6fo+v6ZfXw8Sac3kW9wrvgTrk4BzxXs1ABRRRQAUUUUAFFFFACNnadoBbHAJwK878KaD4q0TxJ4s1SWy0OVdauo7iONdSlBjCRBME/Z+c7c/jXotFAHI6J4bvLTW9V8TaibW68Q3kCW0USuywW0CElYVcqWILEszbeT0UYxWH4C0Hxh4T0HU7QWWgXN1dahc30Z/tKZUXzXLBT/AKOTxn8a9KooA5A6Rry/DttKYadc63c20qXUjTvFAJZQxdlIRmI3scAgcVnDwbqOo/CW38J6sbG3vLWztoILi3leZDLAEKSEFEIG+MHHPHevQKKAOM1Lw5ceJvEei32u2UENnpcNwDbmTzfPlmj8tuwHlhC/Xklui451/D/hLw/4cnlm0HRrHT5ZV2SPbwhCwznBxW5RQB5dbfDzUpfANl4Zu7uCD+ytrWVxExkWSSOdZYpHQgYwEAIyfvtg8AnodS0HU9e17Qb/AFWKztoNGke7jghnaUz3BjZFyxRdqKGY9CSSOBjnsKKAOP8AAOh6tpNrrdtrkOn+VfajdXqG1uXl+WZy2xg0a9AcZHX2riPG+h6r4U+AHiHQA1pPY2NhNFBdmRvMa3ySoaPbjeAduQ2ON3+zXs9VNU0yw1a1+zarY2t9bbg3lXMKypn1wwIzyaAMPxJol3eeJvDet2HkyNpZuEkgkcpvSaMLlTg8gqvB6gnmuSufh/q2rR+MbbVHsIY9U1KDVbK4jkaQxSxJCFR4yoBXMWCd3IPQZ49PtLaCzto7ezgigt4xhIokCqo9ABwKloAw9GsbmK6jmn03S9PCxlXFqfMZ2OOjbFwowe2TkdMc7lFFABXK/EmPTYfDn9s6ul68Ggzpqyiz2+ZmLJPDcEbSwI44J5rqqgv7SDULC5s7uMSW1xG0MqHoyMCCPyJoAkhlSaFJYmDxuoZWHQg8g1DqllFqWmXdjc5MF1C8EmDg7WUg/oaw/h1qlrqfheFLK0eyTT5ZdNa1klMrQm3cxbSx5PCA5PPNdLQBznw8hvLPwdpmnardWt1qWnxLZ3MlvJvG9AAMnqGK7SQe5ro65HQrC20Px3r0Y1CHdrmzUYrDaQytGixTSA9CD+69859a66gAooooAZPDFcQvDPGkkTjayOMhh6EVieHvCml6Be3dzp8TK9xx8xz5a/3V74zz+Vb1FUpySaT0Y7taHnvxrvtbtfDCpocE/lyP/pNzCfmhQYIHHIye/YD3qH4cm48ZeB7uy8ZrZ6nbO5gMUihnZAOsmO+eh4PGfeux8V6L/b+izWH2mS23kHcnIOOgYdxn6dK5/wCHHg6Xw39ruL90e7lPlr5bZURg9fqT/L60Rows6jk+bt0O761F4T6vyq6d721PDfHHwJ8ReB9WPib4Q6hdBossbEP++QdSEJ4lX/Ybn/erqPhL+0PY6zcJofj2JNF1tW8r7QwKQSuOMMDzE3sePccCtP4ya94o0zxXaS6at5ZWNuoSCaPlJ3bBbPUHsNreme9aXxC+Dmm/Efw7a3OsrBYeLPIUtqFpHgM+PuyLn517ZznjggcVhCrzScbbCxGBlQoU67knz9FueuAggEHINFfIXhX4g+M/gXrcfhn4gWk+oeH84t5lbeUQfxQOfvKBj92cEcfd6H6n8L+ItJ8U6PDqmgX0N7Yy9JIz0PdWHVWHcHmtThNaiiigAooooAKKKKAM7VtE0/VkxfWySNjAccOPoRzXMt4a1jRGMnhzUWkhHP2acjB/p/Ku3orjr4GjWlztWl3Wj+//ADOujja1Fcid49nqvu/yONtPGhtphbeIrGaxn/vhSUPvjrj6Zrq7O8t72ES2k8c0Z/iRs0t3a295CYbuGOaI9VdQRXKXnglYJzc+H72bT5/7u4lD7Z64/Osf9sw//TyP3S/yf4G3+yYj/p3L74/5r8TsaK4geIdd0M7fEGnm4txx9pt/5nt+eK6LR/EGmasALO6QyH/lk/yv+R6/hWtHH0asuS/LLs9H/wAH5GVbA1qUee1491qv69TVqFbS3W6a6WCJbll2NKEAcr6E9cVNRXbY47XOC13wjryavdar4b8QTRTzvva2n/1Z9u46DAyv41reDL7xHcm6g8T6fDbPBtCTRniXOc9CR2/XpXT0VjGioy5ot+nQwjh1CfPFteV9DG03xPoupXUltZ6jbvcI5jMRbaxIODgHGfqK5OL/AJOHuv8AsVof/SuStfXvh54e1cs5tPsdwefNtTs5/wB37v6VxvgvRJ9A+Ol7Z3GozagP+EbjeOSXOUT7U4Cck8DB/OiEql7TXzQU5VublqJW7r/I9gooorY3Ciiq9/f2mnwia/uoLWIttDzyBFJ9MnvwaAPO/F83hax8RXj3Pge78R6jcSR/abiHTobgRuUVUjLysoB2hTtBON2TjdzsfCtYxpOpyQ6CNCWW+LG1+zpbsSIo13NEjuEJ29M8gBv4qq6z/ZGoXl9LD43t7SG5jDCCOe3KxXKmMxzgnklfKX5Sdp5yOa1Ph8S9pqTz+IYPEF79r23F1bwrFErCKMqiqrMOFKk8nlj9AAdVRRRQAUUUUAFFFFABWV4ovNU0/Qrq60DShq+pR7fJsjcrbiXLAH943C4Uk89cY71q1Bf3trp9pJdX9zBa20eN808gRFycDLHgckD8aAPH/Beq+IdW+PDS+KfDi+H7pPDTrHAt8l35ifakO7cgAHORj2r2evLtO1XTtW/aCSXSr+0vYk8LurPbTLIFP2tDglSea9RoAKKKKACiiigAooooAKKKKACiiigAooooAKwfGniKPw1oxuyiyzM4SKInG49/wAz+lb1eD/HTxcz62miWiRGO0AaaRkBbe2DtVj0GMZx1z7UnVp0mpVNjrwWDq4yp7OkrtK5T8NeGF8deOrvU7pFhtPtBuriFQWXbu+VNx6lgOen8WO1fQgAAwOBXK/DTRxpHhOz8yJo7u5UTz7hhgzDhfwGBj6+tdVUxpwjKUqezd9QxWJqVWoTbtHRa39f6+4KKKKs5AooooAKKKKACiiigAooooAKKKKACiiigCnrNvdXemXFvYXENtcSKUEs0JlVc8H5Qyk/nXI+EvCOv+GfB2n+HrLxFYGGzh8hbn+y283bk8jMxUNz3BHseld1RQBw+s+AI5PhzdeENBvI9PtrqKSKe5uIDcyP5mS7nDplySSScjnpS3XhbxHcaDYaP/wAJHp8NlCIY7gxaW4kniQruQMZyF3AYJweCa7eigDk/HfhjUfEx0pbTVbWxhsL631BVksmmZ5Im3AEiVQFPHGM+9WtY8Pz397oeqi4gGsaS8jI/lFYpUkTbJGRuJUH5SDk4Kg8jIPRUUAc7ofhqO11PWdU1Hybm/wBVkjaUBP3caRptjjXPJxliWPUseAMASeLvDcPiDwvd6PG62YmKSJIkYISRJFkUleMjcgyMjI7it6igDk7nwnNPrFjrq3sUeu2zSfvBCTC8ciIrRFN2cfu0IO7hhnoStVNS8Dz39p4nkk1KFdX160+wS3JtS0cEARlCJHvByN7NktyT0xgDt6KAOVv/AAiNY8CDw5rV4JSIo0W6tYvJKNGVaORVZnwwZVPUg46YrlvGN3JY/EL4crresaeZI7u5Z0RBADutJkEjBnYgFiFHOMkjJOMep0UAcs/he4i17X7+xvkiTWookuFeEs0bRoU3IdwHKkcEHBGec4rH8P8AgC60nSvCwGqW7ax4et2s4LlbVljmt2VVaORN5JzsU7gwwQOMZB9BooAq6fBcxCVr25E8sjbsImxEGAAqjJPuSScknoMAWqKKACiiigAooooAKKKKAPO/gH/yTtP+wlqH/pXLXoled/AP/knaf9hLUP8A0rlr0SgAooooAKKKKACiiigAooooAKKKKACiiigDyT4ueGtC0yz8M3em6Lplpdf8JJpo863tI43wZxn5gAea9brwP4h6j4/uJvDMXibQ9Gs9J/4SPT8T2t20kmfPXb8pHevfKACiivPLjw/48e4laHxNbJGWJVSnQZ4H3KzqTcNot+hlVqOFrRb9D0Oiuf8ACFhrthBcr4i1KO/kdgYmQY2jHI6CucufD/jx7iVofEtskRYlFKdBngfcqXVaSfK/wJlWkoqXI9fTT8T0Oiuf8IWGu2ENyviLUo7+R2UxFBjYOcjoPaucudA8ePcytB4ltkiZyUUp0GeB9yh1WknysJVpKKlyPXpp/meh1yfjHxTd6DrOgadZ6bBfS6xcG2iDXZiZGCM7MR5bfIFXkg55HFdLYpNFY28d1IJbhY1WRx0ZgOT+JrzrU0uNe+OdrFaTJHH4c0hpi7R7ws90+0DGRz5cR/OtkbLU6OHxW9t4rsPDuu2KWd/qEMs9m8E/nxSiPG9clVZWAYHlcEZ5zxXU15t8ODDrvivxLqmqH7brWjXsmjx3eNsaxAK5WOP+A5bDElidv3sYA3h4mlvfHcug6U+ntHYxRS3plkPmHeZRsjA/iXy1JB7OOmOQZ1dFQ3r+XZzuJPK2xsfM27tvHXHfHpXBf28//Q3v/wCCZv8ACgD0OsfX/EFro11plpKN97qUxgtYdwXewUsck8AAD3PoDVPwlqDXstyG1ltS2qDtNibfZ15yRzV3WNV0+31TTtJnvYrbVtQEpsVZNzMY1y5XjHCnv60AQ+GPE1rr9xqtpHFNb3+lXH2a7t5cEoxUMpBBIKspBB/MA8Vkr4s1W48bap4c0/R7KaSwtormS4k1BkTbIzBFIEJIchCccjHc1kfCq5itfFnjrw9NEJNWsL2K6u9RH/L59oj3oSP4SqjbtHHAIAyaxvCMuoXGnfEPxpY6hb2n2y+uPIllt/NBgtE8pG+8OMo5/GgD0Hwr4ph16+1nTnt3tNU0iZYLy3Zg6gugdGVh95WU+gPByBXRVxvwmt7GTwbZa3Z20sV1rsaaleSTv5ksssigks2ACB0AAAA6AVm2vjuf/hF/FWtXlzpkcOlTXcdsFQ5mW3JBYgvzuZWUAegOTnFAHolFZ/h6W/uNEsp9XWGO+liWSWOFSqxsQCU5JJweM98dBWhQAUUUUAFFFFAHJaDqENp491/w9HYW9oDDDq0ckXBujKWSV2/2g0aj6EV1tcp4r1O40fxR4Vkit4Gs9Qun066l8rMqboneLDdl3pg/UV1dAHI+OodNsL3Q/FGp3U1qNHuDHvjTeHW4xCVf0Xc0bZ7bRXXVm+JdGs/EWgaho+pIzWd7C0MgQ4YAjqD2I6g+oqt4K1228SeGLHVLNJ0ilVkKXGPMRkYoyvjjcGUg0AbdFFFABRRRQAUUUUAeaeN18cXwvNKTSbGfS55S0V5Z3GHWIZISWN8EMcD5kLA+griPCXjnUtB2xK/2uxBwYJG+7jqFP8P06e1fQVYXiLwno/iCOQX9qBO4x9ohPlyjjA+cc8ds9K66GIjCPs5xujWFRJcsloeC654X1/xn4zEGu6fOlhrEokO9S0SwgcEHoGVOnQg+ma5jxP4B8bfAnWZvEngG8n1Dw6Tm4iZd+1B/DPGPvKP+ei4I5+73+jrSw8SeGNGv/s19P4sdWjNnbXrR28ypn51aYDDnHILKORgnnIwNV+JqvbyWf9mahpd5JE8cn2xF320pGASqkhh3yDyMYzXHRw7vJQ1vqdeKxbxzhHlUeVW0JvhR8XNG8ewRW0iPpeveWHfT7g4LjGd0TH76/qO4716TXyrqXwe8Xanply2jyW0VxFGl1ZXIkK+ccggRtwyNjkEgY46ZyL3wx+PeqaLqZ8KfFWxu4tSgPlJeCL96SBwsqDrns44PBPdqinOUo3mrE43C06NZU6E+dO349D6corB8L+LtF8Txk6RepJKq7ngf5ZEHqVPbkcjIreq1JSV0clSlOlJwqKz8wooopkBRRRQAUUUUABAIIIyDXO6x4O0rUSXWH7LP1EkHy8+46V0VFY1sPSrx5asU0a0a9ShLmpyaZw/keKvD/wDqJF1ezX+Fs+YB/P8AImtDS/Gum3Unk3oewuQcFJxhc/73+OK6iqGq6PYaqm2+tY5TjAfGGH0I5rj+qV6H+7VNP5Zar5Pdfidn1ujX/wB4hr3jo/mtn+BeR1kQPGwZSMgg5Bpa4iTwrqekO0vhrUnVM5NtOeD/AEP4gfWnweMbnT5Fg8S6bLav086MZQ/h/gTQsw9m+XFQcPPeP3r9bA8B7TXDSU/LaX3P9LnaV51F/wAnD3X/AGK0P/pXJXdadqVlqUXmWNzHMvfaeR9R1H41wsX/ACcPdf8AYrQ/+lclehGcZrmi7o4JRlB8slZnotFFFUSFcv8AET+xI9CivPEWmtqsNpOslvZLAJ2nnZWjRVjPDMd5xngdeMZrqK5D4j6jeaVHoF3pulT6vdJqWEs4HVHkzbzgkFuBgHPPpQBieCYPCviU3NvefD+20PUrcK72eoaZCrNG2QroQCGXIIOOhHPbPc6Joem6FHdR6PZQWUNxN58kUEYRN+xUyFHA4Ra85n8Y+MH1q1vl+GWsYht5oSpvrYE72jIP3u3ln86634f69qniC21ebWtIm0ee3vvs6Wczq7onkxPksvByXY/jQB1VFFFABRRRQAUUUUAFUta0qw1vTZtO1ezgvbGbHmQToGR8EMMg+hAP4VdrK8Ua0nh7QrrVJLHUL9YNubbT4POnfcwX5UyM4zk+wJoA858P+G9G8NfH4W3h/TLTToJfDLyPHbRhAzfakGSB3wBXrdeMeC/Fcfi348NdRaRrWlCHw08Rj1W0Nu7f6Uh3KMnI5xn1Br2egAooooAKKKKACiiigAooooAKKKKACiigkAEk4AoA5Xx54tj8MWsHlxpPeTN8sTHHyD7xP8h7/SvOPhz4Tj8V6vda94hzdS/aDPM5yqyTHG1AP7iKFGPQLnPNc5ruq3PivxDJcW+Lp7iXybZYjlWUMVUKe6993Q9elfQPhnSxo2g2VgNhaGMB2QEBn6sefU5NaYvDUZQpq92tdHp8+/8AwDtjJ4aHNH4npfqvT8vmadFFFZnEFFFFABRRRQAUUUUAFFFFABRVHXLKXUdJubS3upLOWZdqzx53IfUYI/nXCf8ACutZ/wCh11P8n/8AjlZVJzi/djf5oxq1KkXaEL/NHpNFYa6JdDwn/ZB1W4N15Rj+3YPmZznd97Oe3WuS/wCFdaz/ANDrqf5P/wDHKUqk1a0L/NCnUqRtywv80ek0VhJol0vhM6QdVuDdeUY/t2D5mSc7vvZz261z2k+BdVsdTtbqbxbqFzHDIrtC4fbIAfun94ev0puc01aP4rQJVKiatC9/NaHfVwdtr3iHUfiFr2gafcaUlnpdtBM9xJZyOyyTFisRAmAOEXcW46jgV3leL+EEkvfBnjrxoup3tn/ad5e3cM1sUz9ntwYojyp7RE/jWpud54K8Uza5q3iPSL23iS90O5S3lmtyTDMHQOpXPKkA4ZcnB7nNdZXGfCm4tX+HujXsdpBa3N7ZR6jdQwZdnklXc0hyS7FiDySScdTipPh7rF/4it7vV7i4cWM000dtatamPYiTOqOHOC25FQkc4JPPYAHX0VkeKN39mjaNUJ8wf8g0gS9/Xt/9auTxJ/d8df8AfSf40Aeh1y+qeIb9NV1Wx07TwTp1ot0013vjinLbjsRwpHG3k84z0rV8N5/sqPcNRB3N/wAhAgzde+O3pWHrMtj4v/4STw6ZtTsTpypFc3Kr5cT+bHvwrHhwFI3A8c4PBoA0/COvp4s8H6drmnxtbC/thNGk67jGSOhAIyAfQjI9K5Xwb4l8T+JPClxr6T6HFbLPcrbq9rKoniidkEhfzTs3bCfutgetZGjeOrlv2bT4quLOLT7tNMlSGGBNke9S0URReysQhA9+O1UfE2jt4K+HXgnSHubq4hkvbHSbjT2YCG5Evyyq20BsH5zjOCeCCCRQB6Z4C8SR+L/B2la/DbSWqX8Il8mQ5KHJBGe4yDg9xg1v1zXjLVYPDvgHWNQ090hTTrOQwrbquFeMELGBgj7wC4x7VzV94h1EW/g/SrTWXk13UbtIrx1t0AEYiaScgFMADYQvuwzuoA9KopFBCgFixAxk9TS0AFFFFABRRRQAUUUUAFFFFAHnfwD/AOSdp/2EtQ/9K5a9Erzv4B/8k7T/ALCWof8ApXLXolABRRRQAUUUUAFFFFABRUfnxef5Hmp523d5e4bseuPSpKACio/Pi8/yfNTzsbtm4bseuKJp4odnnSpHvbau9gNx9B70ASUUUUAed/G3/kEeGP8AsZdM/wDR4r0SvA/iH8LPCXhWbwzrOiafNBqB8R6epke7mkGGnXPysxH6V75QAUUUUAFFFFABRRRQAHkVgaN4R0fRtYvdVsIrtb+9Ci5llvp5vN2jau4O5BwOBxxW/RQBzcHh7RfD1xqmsxRywJJNJqdyiszp53l7XlCDJLFR0H4DJqv4FRrq/wDEutEHytRvx9mYgjMEUSRA89i6yMPZq6yigAooooAKoanpVtqMkE0vmR3Nvu8m4hcpJHuxuAI6g4GQcg4HHAq/RQBh6f4V0uwtr+K2juEkv5fPu7lbmRZ5n45MqsGGAAAAQAOAAOKbonhHRNE8PS6Fp1o66RKjxtay3Esy7XzuUb2JAO45A9a3qKAMDS9Aj8OaJ9l8PRCSWG3S2tlvJ22rGgIRC2GIVQT2JPf1rjJvh/qX/CsNI8NJb6RJeq0H9pXEkzDzQsqyTbG8okmTDjkDG7vXqVFAAM4560UUUAFFFFABRRRQBzfxHn1i08Eatd+Gt51a2i8+FI4xI0mxgzRhSDksoZeBnnjnFdDBIJoY5ArqHUNtddrDI6EHofanMNylckZGMg4Nc18N01mDwdY23iXzm1W2MlvLLMwZpgkjKkhPfcgVvxoA6auS8K3llZ+LPEXhq004WJt2j1NWEpYXP2kuXkAP3f3iuCASO/GcV1tcl4o1MaH4u8MT/YrMw6rO+l3F60f76MlGkhQN/dLqwIOeSKAOtooooAKKKKACiiigAooooAK5TXvAmj6xqKXssbwzeYHl8s4EwzyGHv6jBrq6KuE5Qd4uw1JrY4/U/DesadZafF4G1aDTYbGMxrp97Abi3nBOQGfPmKRzghj9DXKfEqHwvr2qwab4qtTZ6xaRq0Oqwxq4jZlOV6l9mT0IHrx1r1uvN/G3w5Op3VxqOk3BF3KS7wzNlWP+y3b6Hj6VVGFKbcar0ZrQn7OamnZrb1PEfEF341+C+vx63pdla6v4akXy57mIb4pVLcBmHzRN0wemT/FivUdP+Pvh3WfCLalo4P8Aa6MiSaZcHa6ZPJyOGXAPzDvjIGcVD8N/CN8viqdtRguLWC3Qi5iJKpc7gVCOv3ZF6nnI496898YfAnxFZXuqanoJ0yxEUElzusBIIbjac+X9mIdkcgkjYWXjAVc1nXw/sE6dJ+h1SxCq4pVsW+ZaXt1/I+hfAHjCDxlps11b2c9qYXEcgkIKlsZwrDr27DrXUV8bfCH4/wA3g3donizSlfTvNJ+0Wi4mic4zuUnDdvQj36V638QvipHfabpN34C1UTWzMZZrmFchT0WNww4PUlWGehrBzdOnzT3HDDRxuLdLC6Re1+x7dRXOfDzU9T1nwlY6hrSQpc3ALgRqVBTOFJGepHPHqK33uIUnjheWNZpASkZYBmA64HfGRWkZKSTOOrSlSqSpvVq608iSiiiqMgooooAKKKKACmTwxTxNHPGkkbcFXUEH8DT6KTSejGnbVHJ6j4IspJftGlTS6dcjkGIkrn6ZyPwNcj4Wg1O2+PV9FrM6XEy+Gogki/xJ9qfGeBznNetV51F/ycPdf9itD/6VyVy08FRpVPaU1y+S2fy2OmpjKtWn7Oo7+u6+e56LRRRXWcoUhUEgkAkHIz2paKACkCgEkAAk5OO9LRQAUUUUAFFFFABRRRQAUUVV1TUbHSbCW91W8trGyix5lxcyrFGmSAMsxAGSQPqRQBwj/wDJw8P/AGKz/wDpWtei15To+u6Rr37QCz6FqlhqUEfhh0eSzuEmVW+1ocEqSAcEcV6tQAUUUUAFFFFABRRRQAUUUUAFFFFACMQqlmICgZJPavEfi/47GrFfC/h2ZnhuflvbiInMinGIIyOfmzhj6ZA5OQ74i/Eb+2tafwr4TH2mGF2XUr5ZMRggH9xH/fbJG7HA6dzVjwX8MpLq9tNT8QwrHBEd6WrA73YHjeOy98d6iajVpyVOaU1bT1OyhRpSg5Vm0mmk1bRrye/p5nd+APDEeg6VE88EaahIgDhcERL2jX2HfHU+oArqqKKmjRhQgqcFZI56tWdWTnUd2wooorUzCiiigAooooAKKKKACiiigAooooAKKKKACiiigCC+s7XULV7a/tobm2fG+KZA6Ng55B4PNVdM0LSdKs5LTS9LsLK0kyHhtrdI0bPXKqAD1rRooA5y9it/CehlfD+iyyMVMUMFnEG2EIxQHJ+VAQFGOBuHAGcW/BukHQPCej6S7B5LK0igdx/G6qAzficn8a2KKACiiigArN1PQdL1R2bULGCdmTy3LL/rE/uN/eXk/Kcjk1pUUAZep+HdE1W1gttT0fTry3gG2KK4tUkSMccKGBAHA6egp93oel3emx6fcWFs1lEyvHCIwFjZTlWUD7pB5BGCK0aKAOY8YeF5Nd0O20mxurewskuYZ5ka2MvmrHKsmzh1wGK/MeScmpLzw9dXfjjTNdmv4Ta6fbTQRWn2Y7t0uzc/mb+vyYHy9GP1ro6KACiiigAooooAKKKKACiiigAooooA87+Af/JO0/7CWof+lcteiV538A/+Sdp/2EtQ/wDSuWvRKACiiigAooooAKZPIIoJJCMhFLY+gp9BAIIIyDwRQB4Wt5J/wzafFZCDXPKOtfasfP8AaPO353dcY+TH935enFe4W8omt4pQMB1DY9MjNebN4Fvj8Oz4D2w/2X5vk/bfM/5c/O37dnXzNvyf3f4s/wANd2i6qNekUmxGhfZVEYUOLgT7jnP8OzbjHfOaAPGW8Ui2uD4X8S2UdlqE2qFLHxKvzWs7iXdv80D5ZgPk2E43DaSBkV23hho9e+Inj1dTgiuYbFrbToEmUOFiMAkcAHj5mkOfXC56CnSeFb+6+H3/AAhV9Z2c1oLQWH28yZBjC7RNsxnzRgNjpu53VpW+iXuh+Kte1XSreO8h1iOBniaby2juIkMYYkg5RlCZIyQVPDZ4AKvwW1KfU/h7ZNdSPLLaz3NkJHYsWSKd40JJ5J2qvNQ+K/iFd6Brk+nQ+CPFWrJEFIu7C0EkL5UH5WLDpnB9xW94A8Ojwp4SsNIMqzSxB5JpVGA8sjs7kD03Mce2K6CgDwDx94+u/ETeFrCfwZ4o0dD4i05/tWo2ojiGJ1+XIY8ntXv9ed/G3/kEeGP+xl0z/wBHivRKACqUWr6bLOIItQs3mJ2iNZlLE+mM5q7XiHhj4aa/p3jy11a5Fp9kjummbbLltpJ7Y96yqTlFrlV7ndg8PRrRm6tTlaWnm9dD2+qUer6bLOIItQs3mJ2iNZlLE+mM5zV2vEPDfw01/T/Hltq9wLT7JHdtM22XLbST2x70VJyi1yq9wweHo1ozdWpytLTzfY9vqlHq+my3Agj1CzecnaI1mUsT6YznNXa8Q8O/DTX7Dx7bavcC0+yR3jTnbLltpJPTHvRUnKLXKrhg8PRrRm6tTlaWnm+x7bLIsUTyOcKgLE+wrzHxB4t8W6H4a8O6nex6J9o1a+tLJ7ZYJSLcznGd/mfNt9MDPrXqFeZ/Hj/kEeFP+xn07/0bWpwnWadda3D4j+waudPmtZbVp4J7WJ423IyqysrM3Z1IIPr6V0FcP8Trm5juvCdplk0m+1eO31BgcBkMblI2P915Ain1zt/ixVS5t4ofipb6JZWkLaPe6PNLqVmIx5IZZEWJymMBmzIv+0F77RgA9DorxbwPp8mnfA228S6NFLP4mt9BuFtpN7MWPLKpTOGIKLjIJ4x3NWdXt9PsPAXge+0y5P2m+1TSA975mZb7zJ4mfzH6vu5Ygnt6CgD2CivLtH0/T4/FHxTtbi1t109hazPCyDy+bbczben3gTn1yetc34UnvrnT/hFp8yRTaTcaK8rR3DkRXFykUexX4OSFMjBT1IJ6qMAHutFc14L02bSpdat3uYGt2vPNhtISWWyDRoWiBIHBbLgYGPM9MVgfF2ygnvPBMzIqz/2/bwecow/lskm5A3UA4GfwPUCgD0SivN9J0uzb4teJNOaCI6Yml2VwLEoDB5rPOpfZ03bUUZxXMaJqN9L8Pfh1bXE8r6Zeau1lfys5JaJWnEUTH+6zJGhz14U/exQB7fXL+Pda1HQYdGudP+yNFcapaWNxHPEzMUmmSMlGDDaRuJ5DA/z43xze6n4d8UajD4LtwHPhq8vJbWFPkSdCogkCAY3kmQY/iC452jFfxRZaXD4G8B3tqyST3GsaO/2svmW6LTxszO3VyeWOc9M9qAPYqKKKACiiigArlvD2nX+m+NfFDzyq2mai0F3aqZcskgj8uYBeoX5Iz6ZY11Ncn4j0xU8c+GNf+22losC3GnzLPJsa4EwUpGn95t8anHpmgDrK574gz6naeC9XvNAVG1W0t2uLdWjD7mQbtoHqwBUfWuhooAg0+5W9sLa6RHRZ4llCuu1lDAHBHY81PXMfDw6wuh3Fr4i89720vrmBLiYYNxCJWMUg9ihUfga6egAooooAKKKKACiiigAooooAKKKKACqesz3VtpV1NYQG4u0jJiiBHzN26/nVyimnZ3A8C0LwkPHk2qaP4psxLZsA9zNJEFuY5ATs2yY3A9eDkY3DHNcV4o/Z18TeEZm1b4Z65PdyrkG1kZYZin93dnZIPVWCg+h6V9YhVDFgoDHqccmqet3kmn6Td3UEElxLFGWSJFLFm7DA/wA4rWrP207pWLlLmldaHzX4B/aMutDuY/D/AMUNFm06e3AiN1BbmIxgcDzIMDAx3T8FrpfiJZah4+v4df8AB91Z6zpEMSxxGxuA0kR6ncvBDZPTrgDOKytV1Ow8T232Hx3pMGtWwJCTMPLuYM/3JBgj6Hg1y5+B2qWzHxD8GvFFyGQkG2uJDbzoeuzzFwrdRwQB7moxWCko8s9u6O3CYmrgK3topN+Z9VeH7KTTdDsbOeeS4mghVJJZGLF2A5OTz1zWDrHxC0DRvETaNqdxJBOqKzSlMxqW5CkjkHGD0xz1r590348+PfAV5HpvxQ8NS3Cg7RceX9nlb1IIHlyf8Bx9a1rHWPht8QPEsep2/iqTTru4uFlubDV0ERcZGUV87enAAZq56nPGK9mgwf1arVk8ZJpNPbufS8UiSxpJGwZHAZWHQg9DTqbGyPGrRFWQgFSpyCPavHrL4tX1x44k0q30+C8sJrv7PbsjFHxnbuzyCO/QfWnOrGnbm6meFwNbF8zor4VdnsdFFFaHGFFFFABXnUX/ACcPdf8AYrQ/+lclei151F/ycPdf9itD/wClclAHotFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFVdU06x1awlstVs7a+spceZb3MSyxvggjKsCDggH6gVaooA8p0fQtI0H9oBYNC0uw02CTww7vHZ26Qqzfa0GSFABOAOa9Wrzp/+Th4f+xWf/wBK1r0WgAooooAKKKKACiiigAoorzjxb8VdO05p7Pw5C2ualGSrmA/6NAR18yXoSP7i5btx1qKlSNOPNN2RUISm+WKud5qmpWelWb3WoXCQQL1Zj1PoB1J9hXiPxE+IOo61aXFloha0sWGGPSWVe4z/AAg+g9OvJFc1baxr3jvxB5V0JLi4ZsRpGh8uBScHgZ2qPU/iTXt3gzwLY+H9tzORd6jj/WsPlj/3R/Xr9K6abw9Sg5N3b/A9KdCWWVouqk2rPumcV8DvBM1lGdX1mwWLo1kj8MuclnKY4zngnnqcdDXstFFctKlGlHlicOIqqtVlVUVHmd7IKKKK0MQooooAKKKKACiiigAooooAKKKKAIL+8t9Ps5bu9mWG2iG55G6KPeqGi+JNH1yWSPSdQgu5I13OsZztHrTfF+kya74a1DTIZVikuY9gdhkLyOtcl8Lvh/d+Db++uLq9guVuIljAjUjGDnvWUpTU0ktDupUcNLDTnOdqi2XfY76/vLfT7OW6vZVht4hueRuij1NUNF8SaPrkskWk6hBdyRrudYzkqPWk8XaVJrnhrUNMhkWKS5i8sOwyF571yHwu+H134N1C9uLq9guVuIhGBGpBGDnvRKU1NJLQKVHDSw05znaotl32O/v7y3sLOW6vJVht4l3PI3RR6ms/RfEmj63NJFpOoQXcka7nWM5IHTNHi3SpNc8N6hpkMixSXMRjDsMhfrXIfC/4fXfg7Ub25ur2C5WeIRgRqQQQc55olKamkloFGlhpYac5ztNbLudf4qvb+y0kNo8VvLqEs8MES3GfLG+RVZmxzwpZuPSuUm8ReJYviNa+FPO0YmfS31L7V9kl+XbIE2bPN5+9nOfwr0KvM73/AJOP0v8A7Fif/wBKUrU4Ts/DF5qV1DfRa1Hare2l00Ba13CN12q6sAxJBKuMjPBzWzXBSFtS+L13pusxrLp1vpEVxY28o3RyO0rrNJg8FlxGv+yG7bjng/E4e68FeNYDzY6V4itodJuTy1uDNb+YsbHoFdpFGOAMr0GKAPeaK8x+IGmw6DDolnpYmstK1rX4E1V45nwUZCoTOfkV2SNDjGdxH8RqxNY2EXxfstHhhgXT5vD13JNp6qPJJNxbKHMfTJAIzjnFAHo1FeBQxW4+BPgaW4RPtUOr2UcMj8uhN8oYA9R8oIP0rq9PtrrxB468dWesWlrdfZ3ggtY7mVl8m2aEEPF8pwWfzMsOcrj+EYAPUqKyPCEdxD4W0mK91BdSuY7aNJL1RgXDBQDJ/wAC659641tKspvjpdpJbQtFNoEc80RQbJZPtDqHcfxEDjn29BgA9JorwaVPI+COu6msjtf6fqlwlncM2ZLZIr8rGiN1VQBjA7EjpXeSFtS+L13pusxrLp1vpEVxY28o3RyO0rrNJg8FlxGv+yG7bjkA72uXfWtRi+JlvoUn2R9MudLmvkKxMJkeOWFMFtxVgfNJ+6DwK82m1PUlu5tJjllXwt/wmEenecrEYtzCGaAN2j8/EfXGDs6cV1aWdlY/HXTYbGKGDPhy6ZoYsKo/0m3AO0cDOCM452+1AHo1FFFABRRRQAUUUUAFFFFAHnfwD/5J2n/YS1D/ANK5a9Erzv4B/wDJO0/7CWof+lcteiUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAeB/EPwZrGizeGb+/8a6zq9sfEenr9iuggjBM64PAzxXvleC/ET4p+DfFUvhnRtA1pbvUh4j09jCLaZOFnXdyyAcfWveqACiiigAooooAKKKKACsnVfDOg6xMJtW0TTL6UYIe6tI5WGOnLA1rUUAU10vT1006etjaiwIKm2EK+UQTkjZjHXnpUcOiaXBbXFvFp1msFx/roxCu2XjHzDHzccc1oUUAUdI0fTNFtzb6Pp1np8BOTHawLEpPrhQBXJ+OPB0l/b6YvhvTtIglt9Tt9QleVjBkRTLKVGyNuXKnJ4555ruqKAKEmk2N1cLd3lhaPelFVpCgY4HIXcQCQCSRnpnPFQW3hrQ7XSV0u20jT4tOVg62yW6iMMOjBcYz79a1qKAIbS1gs4RDaQxwxAk7I1CjJ6njvVTVtC0jWXhfV9KsL9oTmI3VukpjPqu4HH4Vo0UAZP8AwjOg/bZ7z+xNM+1zqUln+yR75FIwQzYyQcnrTrLw9otjp02n2Wj6db2E2TJbQ2yJE+f7ygYP41qUUAVNP0yx04SCwtLe28whpDFGFLkDAJI68cc1Qu/Cfh68haG60TTZomfzCj2yFS27dnGOuRn681tUUANjRIo1jjVURAFVVGAAOgAp1FFABRRRQAVy/wASdMt9S8KyyXN8unrp08Opi8MZkEH2eRZS20EE/KrD8a6ioNQtIr+wubO5XdBcRNFIvqrAgj8jQA+3mjubeKeBw8Mqh0YdGUjIP5VJXNfDmWyPhCxs9Nu57uHTA2mNLOmyQvbsYm3D1yn9a6WgDmLCw1W0+Imr3bO8mh39jblN8uRDcxs6sqpnIDIUJIGMrXT1yXjfS2k1fwzr0d3aWn9j3jNcSXUvlobeWNo3XOMbixjIzgZArraACiiigAooooAKKKKACiiigAooooAKKKKACiiigDm/E3gzSdfDPPD5F2elxDw2ffs341o+G9Hh0LRrfT7c7hGPmfGC7Hq1adFW6knHkb0HzNqxz/jfUdH0/RseILWK8s53EZt5IllD+vytwQBzXlOtfAb4ceN7N77w4ZdKlbPz2D/IG9GifIH0G2vUfGnhK28UQRebPLBcQgiJ1OVGeuV79O2DV7wnokXh/Q4LCMhnX5pXAxvc9T/T6AVbVP2aafvFe7y+Z88+E/hN47+GHia11Gz1+71bwrayeZcWOnO4nnQA8fZ2Ow84zhicZxzxXtfhaPwh4muU8Q6JZwi9tZWidzbtbyxS7fmWRCAdwDfxDuCK3/EOt2WgWIu9RdliLiMBRkkn0H0yfwrO1TTtA8d6NHHLL9qt0kE0UttcPFJDKAQGDIQysAT+dZOm2uZrQcJzgm4tq+hv3byx2kz28XnTqjGOPIG9scDJ4GTXhnwzs/GNv4/Ftqj6laWxMl1dJJkxSfTOVOWYcj3r0i/tvFPh7S9Oh8NmHxBHbBxcpq1yY7qcE5XZKF2ZAyPmXnjkHJNyXxpotlqdlpWtXcelatdQJMltdnaCW6osn3HYEEEKxPT1FYzpc8lK+x1YXHPD0qlPlT51a76HQzSpDC8srBI0UszHoAOSaxfDvi3Q/EQA0nUYZpcZMJOyQf8AATg/j0q54j0w6zod7pwuHtvtURiMqDJUHrx7jI/GuE+Gfw2m8I69e315dQXQMQitmRSCATliQeh4A4J6miUpqaSWgUKWGlh6k6k7TWy7/wBep6ZXnUX/ACcPdf8AYrQ/+lcldR4414eGvC99qm1GliXESP0ZycKD7ZOT7A15Z8MPFj+MfjRfX8totrJF4djgZVfcGIuWbI44+909qrnjzcnUxWFqug8Ql7qdr+Z7hRRRVnOFFFFABRRRQAUUUUAFFFFABRRRQAUUVleKNAsPE+hXWj6xHJJY3O3zEjkaNjtYMMMpBHKjoaAOPf8A5OHh/wCxWf8A9K1r0WvGPBfgzRfBXx4az8PwTQwT+GnmcSzvKS32pB1ckjgDivZ6ACiigkAEkgAdSaACiuS1/wCIvhfRC8dxqsE9ygybe1PnSfQ7eFJ/2iK82vfjTqupXzwaJoa2FiAwF5ezK8r9fuxLkD6sx+lTzx51BtXehpKjOMFUkrRbsm9m+yPc7iaK2hea4lSKFBuZ3YKqj1JPSvL/ABL8adDs55LLwva3XifUVJUixwLdG9HnPyj/AIDurg3bxD4suVLm91Jw3GASiE8ZwMKn6V6T4F+HFpp1ul3rULPftnMBkDRoM8cDqfxIrXG4erRgvZNOT79CvZxhKPPqr623t5HlmreLPEXii9e01nMWR8tjalvK54I9X+pz3wB0r0/4ZeCobXTTc61YOtwz5ihnIKKuOuzsevDZ6DpXo0UEMW3yoo02rsG1QML6D2qSsVFToRpVoqTTve3U2r4pTknSXLZW0/rr18yG2tLe1D/ZbeKHzG3v5aBdzepx1NTUUVZyNt6sKKKKBBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABWFJ4P8MyXZupPDujPcnI85rGIv/wB9bc1u0UAVNQ0yx1FYxf2dvciMlo/NjDbCRgkZ6cccVWvPDui3unw2F7o+nXFjDzFbS2qPGn+6pGB+FalFAFVtOsW046e1nbGwKeWbYxL5RX+7txjHtXJr4YvrX4lWet6fZ6XDpUOny2LqszJKxkkicvtEeOPK243cgjkYxXbUUAY134W0G8gnhutG0+aGd/Mkje3Uq7bg5JGMZLAMfUjNWbnRNKujCbnTbOUwJ5UReFTsT+4OOF4HHStCigBFAVQqgBQMADtWZJ4c0STUn1GTR9NfUJFKPctaoZWUjBBfGSCCRjNalFAGF/wh3hn7DJZf8I5o32OR/MeD7DF5bNz8xXbgnk8+9XZ9F0ue2t7eXTrNoLf/AFMZhXbFxj5Rj5eOOK0KKAKn9m2P9m/2f9itfsGzZ9m8pfK2+mzGMe2Kpr4Z0Nb+3vl0iw+22+fJn8hd8ecZw2MjoPyFa9FABRRRQAUUUUAFFFFABRRRQB538A/+Sdp/2EtQ/wDSuWvRK87+Af8AyTtP+wlqH/pXLXolABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHm/xrhiTSvDDJGit/wkumchQD/rxXpFeB/EO2+IcU3hl/FOoeHJ9H/4SPT8R2MMqzZ89dvLcY9a98oAK4Gf4paNBPJE1pqBZGKkhExkHH96u+rgp/hbok88kr3WohnYsQJExknP9yt6Hstfalw5ftGx4U8Y2Hia5nhsYLqNoUDsZlUAgnHGCa6Wub8K+DtP8M3E81hNdSNMgRhMykAA54worpKiryc37vYUrX90460+IWl3WuJpUdtei4afyAxVdu7OM/ezj8K7GuPtPh9pVrriarHcXxuFm88Kzpt3ZzjG3OPxrsKqt7O69mOfL9kRlDKVOcEY4OD+deT+BNRgi8d+O7PV9duvIsLyKCzhu9TkxHG8Ks2Az88seTkjsRXrDMFUsc4AzwMn8q8r+HIA8efEC5vdK1KKC+vYp7WW50yZFlRYFVipZB3BGOp7ViQN+GV691q3j6aTVtTvLXTtRa2s2FzLdCKLylb5Ey285JxkMe1db4a1/TYPCOiTy65Lqwu18qC7aAia8cAkkRKuc4ViQF4Ckn1rlPhbM2n+IvH81zpurWtvd6qbu2aTTLhBLEIkXK/JzyDx1PpXO6C76Z4V+Hk81nqtvq+myXa/ZzpksswVlYPm3+V2TDJ+8XhW2g9SKAPXLHWtK8RxzWllcXEisjhnjWaHG1trgSALtdW4IBDAgjjBrlfhV4ptm+H/AIb/ALZ1Gea9uQLc3FwHffKzNtRpSMbzwACcnI9RVn4caho1tp2rxWk2oPf/AGmXUtQhudPmt5w8zs2VgZd2zghcbvu9Sc1wdnDcwfA/wxp39j6yt/b6payy2w0u48xAl6srsV2Zxtyc9+QMnigD3d2CqWOcAZ4GT+Qrm4fHPh6WwnvVvnW1t5Ginke2lQQMrbSJMqPLwcjLY6H0NdEkqvAswD7Cu8AoQ2MZ+6RkH2xmvEZ4riT4W/E6zi0jWPtmpX+oPbQnTLgPOJRiNlBTJBx17cZxxQB69Br2mzalFYJcYupkeSFWjZRMqEBijEYfG4fdJ6g1DdeJ9ItZ5Y57wIIZlt5ZfLcxRSNjCPIBsUncvBI5YDvXF6vPv8ZfDme20/VfstqlyJnXTbjbAHg2KH+T5fmGMHGOp45rnfGNlq2seEfiFax6dd2upT3Mwt9OsrEIt0ibdk7Sbf3jsq5yG7KmNw5APYLvWLO0uZLeR5WmjjErpDC8pRSSAW2A4ztbGeuD6VXj8R6ZLDFJBPJOklul0vkwSSEROCUYhVJUHBxnHQ+hrgtXtf7d8Q3mpW1z4m8L6hHAiQ3lpA7xXiBpNgkhaMhmXrtIDYkxng4qjSry/mtrq7uNc8K+IoNLtEkudKhL2tw+wkxtDsZGMbFsKMHDYBOKAPV7C7gv7G3vLSTzLa4jWaJ8EbkYZBweehFcw3jS3Hj+Xw79nvswWazyOLGZgzPJtXDBcbRtbLfd568Gtnwmb0+F9I/ta3ittQ+yRfaIYl2pHJsG5QB0AOeO1ctqi3mnfFO51OO0nljutBS1tnWJ3RrhJ5G2MVB25EinJxxuPY0AdPd+JNKtJLpJ7ogWhAuZEid44OM/vHAKpgEE7iMAgnApNY8S6Vo09jFqVy0Jvm2W7eS7JI20tt3qCoJCkgE5OOK4rw2l14b8N+JdJ1Swvbu/lvr2eHyrd5RfLO7PGQwG0HDBSGI27ecDBrM1HSr3RPCPwu0nUba+v7vSr60lu3tbSW5WJY4JFLFkU8KzKB370AehQ+L9CuLe1lt74TfapJYoYooneV2jYrIBGF3/ACkEE444z1FOn8V6NBpOoak14Ws9PbZdvFC8hgOxXIZVUkYV1J44zzjBrnZrSfTfi3/b1xbzy6Ve6OtlFNHCz/ZpVmaRlZQMqHDA7iOqYODtzi+HLeXWvD3xbtbG3dJ7zU7uGGKRdhZmsYFGQemSc84PPODQB30nifSI7zSLZ7lxLq67rI+RJsm+QvgPt2g7QTgkHFLd+KNHtJriOe8Ci2kWGeQRu0ULtjCvIBtQ/MvDEY3DPUV53qFzL5XwsYafqbJp9yn2wrYyk25+xSx4ZQufvNg8YHfGRl2g+H3s9C8UeHfEa6vML2+vJPLt4dyX0M7lgRIEO1iG2nLAqRngYNAHX+FH0vTvFXifQ7CO6ju/OTVp/OIKObgEExY525iOc/xE+tdZXH6lPYaL478OGTT2N9q9vLpovfPb92sSmZYyvRs/vCDwePeuwoAyvFmiQeJPDOqaNd8Q31u8BbGSu4YDD3BwR9KZ4QvYr/w5YyRagmpNEn2ea7VCglljJjkO08j51bj+dbFcn4Li0zStb8S6JYXE8lyt5/ak8UqYWL7TlsIe67kc/UmgDrKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA5jxz4TTxRbQg3clvNBkx8ZQk4zkfh1zXlaeGvE/h3XbaK0WWKWaQRx3EBJjbJ7n09mHave6K6qWKnTjy7o0jVcVboNhVkiRZH8xwoDPjG4+uKg1Cws9Rtzb6hawXUBIby54w65HQ4PGas15D42uPFMXjdJbJLq2R2W3tWQ5jcZ/ixxySTg/wBKzo0vaytewoR5nY7hvDV7D4o/tbTvEWpQ280ga606crPbyADH7sN80R4H3Tj2rpqZbrIsEazOHlCgOwGAxxycdqfWJBU1TTbLVbRrXUrWG6t2OTHKgYZ9fY+9eX+FfD2neGvj5qNrpELQ28vhuOcoXLYY3TjgnnGFFet151F/ycPdf9itD/6VyUuVXvbU0VWag6ab5X06HotFFFMzCiiigAooooAKKKKACiiigAooooAKKKKAPM7+8trH9oGGW9uIbeL/AIRdxvlcIufta8ZNb+ofEPw5Zq228a5dTjZBGWz9CcL+tecfFDQb/wAQfGyxt9MEbSxeHmlZXfblftIXjtn5geccA/StbS/hNdO2dU1CGJf7tupcn8TjH5GumhCi481SVjaEYON5Mp+KvjFqEUYOi6MbWJiVE9+ysze6ojEAe5OfauY0q48Z+O4bi4luLnULaJ1j8pfKjjjY88KApP1OcY7V7lpnhDRbLSksXsYLqMfee4iRmkw24bjjnB6fStyCGKCJYoI0ijUYVEUKB9AK4aUatOt7RyvZ/gdc8Th1Q9lTp+9e/N19Hp69uh4nF8G7rULNJL27gsLsy5YInmZTHU4xluAOvQV6B4P8A6R4b02S1MaX8kpJea4iUtggAqOOF9snqa6+iqdODqOrbVu5hPG1qlFUJP3U728xkEMUESxQRpFGowqIoUD6AU+iirOUKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAz/EGpf2Po13qBi87yE3+Xu27ufXBrzv/AIW6v/QFP/gV/wDYV6ZqNlBqNjNaXib7eZdrrkjI+ormv+FdeGf+fBv+/wDJ/wDFV00ZUEv3qbf9eZpBwS95Gl4P14eI9GF+Lf7PmRk2b9/TvnAq7rmof2Vo93fGPzfs8Zk2btu7HbPajRdJs9FshaadEYoAxbaWLcnryTU9/Zw39lNaXSb4JlKOuSMg+4rJuHPdLQl2vpscr4J8bjxRf3FsLA2vlR+Zu87fnkDGNo9a7GsTQvC+k6DcST6XbGGSRdjEyM2RnPcn0rboquDlemrIJWv7pm+JLO2vtCvob2CKeEwudkihhkA4OD3HrXj3w4u9Cb4BWcV5bebdTaa8kztZSOXlAfDl9pyR2bPHrXsevvOuj3YtLOa8neNkWGFkVmJGOrso/WuC8CaZrmjfBW20G+0K8XVraxe0MCz253swbBVvM245HUg89KzJMTws2l6Z8A/DF9qNvqSwSx2c91caZII5jIXXa8jblLAsVB6nB/Eeiaz4x0/S7jVYmhu7n+yrdbrUGt0VhbRsGILZIJO1WbaoY4HTkZ4FdB8RL8BdO8M/8I9eHWbeK1geH7RbYPlyI7MG83GMKffPapddiudT8SeJTpug6xfWl9bQWWprp91aw5YRndDJ5pHzhJAC8TYwwGcrQBe+Ll3aat8LLzUriyaFbe5tZYJbgISAZ4v3iMpYYKsRkHpkV2tp4jtp9eTR5re6tb2W2a7hWdVAliVgrEYJwQWXIbB+YcdccZ4wkl8W/Cqay8LaLePL50dr9hcxQvbGCdN6PvcLwIyBtJB4xwc1pX1vq1x8UdA1ZNDvV06DTbi1mmaW3/dvK8LDK+ZkgeWwOAecYzQB1PiTV00HQ73VZra5uYLSJppUtwpcIoyxAZlBwATjOfTNY/8AwnGmr/Y7SW97HDrAxYSlFK3D7N4QYYkEgHBIAOOvTNvx9b3d54K1yz060lvLy7spreKKNkUlnQqMl2UAZPPNcdeabrjw/DcJ4evSdGmWW9Xzrb90BbSQ4H735juYHjPHvxQB2uneJbK8m1eCRZrW40kr9rinAzGrJvVsqSCCueh7Edqq6T4y07Up9IjSO4hTV4GuNPllCFLlQoYhSrHB2kNhsHGfQ4562svEkHirx/fafpMltLqFpCumXNxLCYmmiidRuVXLAFmU8r0znFZcmg68LvwXqtrpmoXGoaWZjem/u0ZzLJayRhgPM27BIQSEwMEbQcEAA7tPFNtLBHc21neT2T3YshcxBCm/zvJJxu3bQ+QTjtnpQnim2lgjubazvJ7J7sWQuYghTf53kk43btofIJx2z0riLbwfcHUoNZ0/Sb3QvEj6gst3La3YFpcw+d87SRByrF4s8bQ28jnjNFt4PuDqUGs6fpN7oXiR9QWW7ltbsC0uYfO+dpIg5Vi8WeNobeRzxmgD1WRisbMqM5AJCrjLewzxXGfDvxRfeIzq73ulXlokOpXFsrSvCyxiJgmw7XJ3ZBJwCMk4JrtK4Pwlo2qae+uaZc28kVtd6te3pulZCskE+5lC87g4Zx1A+4exGQDW/wCE003+zP7V8u5/sTzPL/tLavk43bN/3t+zdxu2475281Bqvjm003WtQ0qXS9XmvbO0F/st4UlM0BZl3xhWycFSMEA9OORXLjw1rg+EP/CBfYD9r+yf2X/aG9Ps/lfd87G7fnZzt253cdPmrY0/TdStPik16NJvG0oaNDpqXrSwkF0ldySvmb8EMOduc9qANtfF1hLcaglpDdXNvpz+Xe3USDyrdwAzKckFioILBQ2M4PPFQS+NtPSz8MXi217JZeIWhS0nRE2q0qb0DgsGGVBPAI4rB0fS9T8J6J4tsGsHvIbi6vNQtLlJECss2XKyZO4MrEgnByMEZOQM/SdJvNT+Evwun0+Ezvpq6XfSRKwDPGsAVtuSBkB84zzj1oA7WLxbYf21rem3kVxYvpFsl5cTXGwRGFt+JFYMeP3bZyARjpS2HiyzurjSo5La8tE1VWaxluEVVnwu/aAGLKxQFgGCnAPcEVxOveGdW8SeJvGdvPp9zZ6druhQ2Fvel4yInQz58xQ+7rIpwAeOuOQOj0DSpJIdEXUtClivbEqzy3F15sUMixlC8PzkkncQDgYVjnB+UgHaUUUUAed/AP8A5J2n/YS1D/0rlr0SvO/gH/yTtP8AsJah/wClcteiUAFFFFABRRRQAUUUUAFFZ/8Abemfbfsn26D7R5nk7d//AC0xnZnpvxzt645xWhQAUVy5+IXg0O6P4s0GOSN2R0k1CJGVgcEFSwIORVy/8XeHNOnjh1DX9JtJZIFuY1nvI498TEgOuSMqcHkccUAblFRWlxDd2sVzbSLLBMgkjkU5DKRkEexFS0AeVfGHXNJvrHwzb2WqWNzcf8JJpp8qG4R24nGeAc16rXinxQ8A+FfD6eGdS0XQbGyvz4k05TPDHhsNOuRn3r2ugAooooAKKKKACiiigAooooAKy9S0WK81O31GK4ntL+CN4Vmh2ndGxUlGDAgjKqemRjgjJzqUUAZWnaLFaancajLcT3d/NEsBmm2jbGpJCKFAAGWY9MnPJOBjVoooAKKKKACiiigAooooAKKKKACiiigArn/DHhiPw/d6rcQ6jf3balcm7nW58rHmlVQsNiKR8qKMdOPWugooAKKKKAOT+J2oRaH4XOuy2FtenSriG6AmGfKXeEkkU9mWN3INdYDkZHSq+oQfabC4gCQuZI2ULMm9CSONw7j2rM8E3uo6j4R0i71u0ay1SW2Q3VuyFNkoGGAU9BkEj2xQBt1yWqvpej/EPSLyaK5Go63A2mJMrDyQIg8yq467j+8wfqK62uc8exKuhrqK6NJrN5pc6XtraxOyOZFO3cuM5IVn4wQenegDo6KKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx74jav4i03xT9rg+1WdpGojgccxyDqSeoJJ7HnAFew0yaKOeJop40kicYZHAII9wa2oVVSldq5cJcru0ef+BviE+tXsOm6hZkXcmdssH3TgZJYHp068/hTYv+Th7r/sVof/AErkrqdH8K6To+qT3+nW/kyypsKhsqozk7R2zx+VctF/ycPdf9itD/6VyUVpU5SvTVkE3Fv3T0WiiisSAooooAKKKKACiisa58TaTba/ZaLJdf8AEyvHeOKJUZuUjMjAsBgfKM4J9KANmis7UdYtbG8t7N/MlvbhXeK3hTc7KuNzegUblGSQMkDqQKl0nUrTVrJbqwl82EsyHKlWV1YqyspwVYEEEEZBFAFyiiuL1nWNXtfE8qHUdOsNCh8oSNPp00r5bqRMHEaAkgZYHGO9AHaUUUUAedP/AMnDw/8AYrP/AOla16LXnT/8nDw/9is//pWtei0AFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABWXNoNhJd3F0i3EE1wQZmt7mSESEADcwVgC2ABu64AGeK1KKAK2m2FrplottYwrFCpZsAkksxJZiTyWJJJJ5JJJqzRRQAUUUUAFFFFABRRRQAUUUUAFFFFAFbUrKDUrCazuvMMEy7XEcrRMR6blII/A1DoOkWWg6Vb6bpcckVlbqI4o3meXYoGAoLkkAAAAZwKv0UAFFFFABRRRQB538A/+Sdp/2EtQ/wDSuWvRK87+Af8AyTtP+wlqH/pXLXolABRRRQAUUUUAFR3DmK3lkUbmVSwHrgVJRQB4QLqUfsmnU2k/002J1Hzu/wBo8/zd/wBd/OfWvc7WQy20UjDazoGI9MiuGPgJj4UPhI3MP/COG4342HzvI83zfs/93Gfl39dvGM/NXWJaX48QSXjamTpjWyxLp/kLhZQxJl8z7xyCF29OM0AcdqXhzw3LrWneFrfR9OJNsby8ka2QyGBGChS2M7pHPJ7hX6Eg1o6z4bW/8VXGpf2Rol80NlBHbvexh3SRHmYqvykoCHX5v0NWrHwzLb/EXVPE0l2JI7uwgsY7fZzGEd2JznoS3p606bw/c2er6xqWgPY295qwj+0TXELOytGmxGGGG4AfwnHOTnnFAFrwV4itfFnhbTtcsUeOC7jLeW/3o2BKsp9wysPwrnPFfirxrpmuT2ug/D2TWtPQKY70axBb+YSoJGxhkYOR74rpfBvh608KeGNP0TTi7W1nHsDyHLOxJZmPuWJJ+tbNAHzp8VfGfjWfTvD41r4dSaXAmu2Mscp1mCbzJFl3LHhRxuxjceBXo/8Awlvj3/omcv8A4PLas79on/kXvC//AGMth/6G1eq0AeWa78Q/GOhaNearqnw4mhsbOJpppBrVu21AMk4AJP4VNp3jrxtqOn2t7Z/DaV7a5iWaJv7bthuRgCDg8jgiu48V6Hb+JfDWpaLeSSxW1/A1vI8RAdVYYJGQRn8Ks6Np8ek6PY6dAzvDZwR26M+NxVFCgnHfAoA4f/hLfHv/AETOX/weW1ZHhX4oeKvFWixatofw7muLCVnRJDrMCZKMVbhgD1Br1uue8A+E7PwT4Yt9D02a4ntoXkkV7gqXJdy5zgAdWPagDnP+Et8e/wDRM5f/AAeW1ZGj/FDxVrGp6tp+n/DuaW70qVYLtDrMC+W7LuAyRg8ema9brnvDfhOz0DXPEOqWs1xJPrdwlxOshUqjKu0BcAHGPXNAHOf8Jb49/wCiZy/+Dy2rIPxQ8VDxYvhs/Dub+2DZf2gIP7Zgx5G/Zu3Y2/e4xnNet15VJ/ydLD/2J5/9LKANH/hLfHv/AETOX/weW1ZGtfFDxVouoaTZaj8O5ornVJzbWijWYG8yQDOMgYHHc4r1uue8TeFLPxDq/h/Ubua4jm0W6N3AsRUK7FduGyDx9MUAc5/wlvj3/omcv/g8tqyPFfxQ8VeFNBudZ134dzW2nW5QSSjWYH27mCLwoJPLAdK9brnviB4Ts/G/hO98P6lNcQWl0Yy8luVDjZIrjGQR1UdqAOc/4S3x7/0TOX/weW1QX3jjxvY2Vxd3Xw1lS3t42lkb+27Y4VRknA5PAr0uquq2UepaXeWMzMsV1C8DsnUBlIJHvzQB5roHxF8YeINFs9W0r4cTTWN3GJYZDrVuu5T0OCAR+NaH/CW+Pf8Aomcv/g8tq63whoNv4X8M6bollJNLbWMIhjeYguwHc4AGfwrXoA8k8OfFDxV4jivpNH+Hc06WV3JYzk6zAm2aPG9fmAzjI5HFa/8Awlvj3/omcv8A4PLas79nv/kGeNf+xr1D+aV6rQB5JZfFDxVe+I9S0K2+Hcz6pp8cctzF/bMACLIModxGDnHY1r/8Jb49/wCiZy/+Dy2ro9M8J2en+NNa8SxTXDXuqwwwzRsV8tRECFKjGcnPOSa6GgDyS9+KHiqy8R6boVz8O5k1TUY5JbaL+2YCHWMZc7gMDAPc1r/8Jb49/wCiZy/+Dy2ro9T8J2eo+NNF8SzTXC3mlRTwwxqV8txKAGLDGcjHGCK6GgDyTxH8UPFXhyGxl1j4dzQJe3cdjARrMD7ppM7F+UHGcHk8Vr/8Jb49/wCiZy/+Dy2ro/GnhOz8W2+lw381xCun6hDqUZhKgtJESVVsg/Kc845966GgDyvX/iL4w0DRbzVdV+HE0NjaRmWaQa1bttUdTgAk/hVmw8ceN7+xt7y1+Gsr29xGssbf23bDKsMg4PI4NaHx2/5I94t/7B8ldD4H/wCRL0D/ALB9v/6LWgDlf+Et8e/9Ezl/8HltWR4U+KHirxXoVvrOhfDua50+4LiOU6zAmdrFW4YAjlSOlet1z3gDwnZ+CPClnoGmzXE9ramQpJcFS53yM5zgAdWPagDnP+Et8e/9Ezl/8HltWRovxQ8Va1qGrWWnfDuaW50ucW92p1mBfLkIzjJGDx3Ga9brnvDPhOz8Pax4g1G0muJJtauhdzrKVKowXbhcAcfXNAHOf8Jb49/6JnL/AODy2rIHxQ8VHxYfDQ+Hc39siy/tAwf2zBjyN+zduxt+9xjOfavW654eE7MfEFvF/nXH9oHTP7K8rK+V5fm+ZuxjO7PHXGO1AHOf8Jb49/6JnL/4PLasjWPih4q0fU9J0/UPh3NFd6rK0Fog1mBvMdV3EZAwOPXFet15V8W/+Sj/AAr/AOwpP/6JoA0f+Et8e/8ARM5f/B5bVkeKvih4q8K6LNq2ufDua3sImRHkGswPgswVeFBPUivW657x94Ts/G3hi40PUpriC2neN2e3KhwUcOMZBHVR2oA5z/hLfHv/AETOX/weW1V9R8deNtO0+5vbv4bSpbW0TTSt/bdsdqKCScDk8A16ZVPWbCPVdIvtOnZ0hu4JLd2TG4K6lSRnvg0AecaF8Q/GOu6NZ6rpfw4mmsbyJZoZDrVuu5SMg4IBH41f/wCEt8e/9Ezl/wDB5bV1/hTQ7fwz4a03RbKSWW2sIFt43lILsqjAJwAM/hWrQB5J4b+KHirxJb3c+j/DuaeK1upLOYnWYE2yxnDL8wGcZ6jitf8A4S3x7/0TOX/weW1dH4K8J2fhGz1C2sJriZL2/m1CQzlSVeUgsBgD5Rjjv710NAHklh8UPFV/4i1TQ7X4dzPqemLE91F/bMAEYkG5PmIwcgdicVr/APCW+Pf+iZy/+Dy2rO8D/wDJwHxM/wCvbTP/AES1eq0AeSXfxQ8VWniSw0G4+Hcy6pfRSTW8P9swEOifeO7GBj3Na/8Awlvj3/omcv8A4PLauj1HwnZ33jbSPE8s1wt7ptvNbxRKV8tlk6lhjOeOMEV0NAHkniL4oeKvDq6c2r/DuaAahexafb41mB988mdi/KDjODyeK1/+Et8e/wDRM5f/AAeW1dH4z8J2fixNGW/muIhpepwapF5JUbpIs7VbIPyncc4wfeuhoA8q8Q/Efxf4e0S81bVvhzNBYWieZNINat32r64AJP4Vbs/G3ji8s4Lq3+GsrQzxrIjf23bDKsMg4Psa7Hxj4ftvFXhjUdDvpZora+iMUjwkB1Ge2QRnj0rR020TT9OtbOJmaO3iSFS3UhQAM+/FAHBHxd49AJPwzlwP+o5bVleFPif4r8V6Ba61oXw6muNOut3lSnWbdN21ih+VgCOVI5FesSf6tvoa8u/Ze/5IV4Y+lz/6Uy0AX/8AhLfHv/RM5f8AweW1ZGifFDxVrd7qtppvw7mln0u4+y3anWYF8uTGcZIGeO4yK9brnvC/hOz8Oanr99ZzXEkus3n22dZSpCPgDC4A4475oA5z/hLfHv8A0TOX/wAHltXO+Dta1bVP2gr4a7oL6Jdr4ZQCBruO4youiQ25OOd5GP8AZ969mrno/CdnH4/l8Wia4+3yacNNMRK+UIxJ5m7GM7s++MdqAOhooooAKKKKACiiigArgPHH/JT/AIbf9fF//wCkj139cvr3hBdY8RaXrEmtarbXGmvI9rHAIPLQvH5bcNExOVJ6k9eKAMazeR/j5qayk7I/Dlv5QPTBuZdxH4gfkKrfDe2g1S/+IVnqFrDd6eviOXZFPGJE3eTCW4Ix97n6muwv9BWfWLTV7W5e31O3ga180oHWWJiCVdeM/MoYEEEHPYkGbw7oltoVjLb2zSSPNPJdTzSkF5pXbcztgAdewAAAAHAoAit/Cvh62njnttB0mGeNg6SR2casrDkEEDINZviXwtc65Za1psmpMNM1cqJ0cM7xJsVHSL5tqhguenDMx5zx1dFAB24ryj7d8av+gT4H/wDAi4r1eigD52ttR+JbfHOOK60/wouu/wDCOsVT7ROtv9n+0jncAzb9w6YxivRftHxY/wCgd4H/APA26/8AjVZ03/J0lv8A9ig3/pZXqtAHjfi7xl8SvCzaINQ0rwhJ/a2pQ6XB5F3cnbLLnaWygwvynJGT7Gug+0fFj/oHeB//AANuv/jVdZ4j8N6b4iOlnVYWlOmX0Wo221yu2ePO1jjqBk8HitigDynxL4g+KHh7w9qWsXumeDHtbC3e5lWK8uS5VFLEKDGBnA7kVJoetfFLWdE0/VLXTPBa297bx3MayXl0GCuoYAgRkZwfU16Jrml2uuaNfaXqKGSyvYXgmQMVLIwwRkcjg1JpNhb6Vpdnp1kpS1tIUt4VJJIRFCqMnrwBQBwv2j4sf9A7wP8A+Bt1/wDGq5/wb4y+JXi201C503SvCEaWV9Np8gnu7lSZIyAxGEPy88dD7V7JWP4Y8N6b4ZtryDSIWiju7uS9lDOXzLIQWPPTp0oA5P7R8WP+gd4H/wDA26/+NVz9r4y+JVz43vfCyaV4QGo2lml68hu7nyijNtAB2Zzn2/GvZK8q0X/k5XxH/wBi/bf+jTQBo/aPix/0DvA//gbdf/Gq5/xJ4y+JXh/VtB0+90rwg82s3RtLcxXdyVVwu7L5QYGPTNeyVj654b03W9Q0i91GFpLjSpzc2rByoRyMZIHXjsaAOT+0fFj/AKB3gf8A8Dbr/wCNVjeMvFXxN8J+GNQ13UtL8HSWdlH5kiQXdyzkZA4BjA7+or12szxNodh4l0G80fV4mlsLtNkqK5QkZB6jkdBQBw9lqHxVvLK3uYtN8EiOaNZFDXt1kAjIz+696n+0fFj/AKB3gf8A8Dbr/wCNV39rBHa2sNvCCIokEaAnOABgVLQB434G8ZfErxnoCavpeleEIrZpZIQtxd3KvuRyp4CEYyOOa6D7R8WP+gd4H/8AA26/+NV1nhPw3pvhTR10vRYWhs1keUKzlzudizcnnqTWxQB43pXjL4lan4v1zw5BpXhBb7R0gkuHe7uRGwlUsuwhMngc5A/Gug+0fFj/AKB3gf8A8Dbr/wCNVneB/wDkv/xN/wCvbTP/AES1eq0AeN614y+JWj+KfDugXWleEGvNcNwLZ47u5Ma+Sgdt5KAjIPGAefSug+0fFj/oHeB//A26/wDjVdZqnhvTdU8QaLrV5Cz6ho5mNm4cgJ5qBHyBwcgd+lbFAHjfjzxl8SvBPha81/VtK8IS2dqYw6W13ctId7qgwGQDqw79K6D7R8WP+gd4H/8AA26/+NV1ni7w3pvi3w/c6LrkLTafcFDIiuUJ2uHHI56qK2KAPOJrv4rxQvI2neCNqKWOL267f9sqxfA/i74l+MvCthr+l6V4Pis71WaNLi7uVkG12U5AjI6qe9evyoskbo4yrAqfoay/Cnh/TvCvh+00XRYmh0+1DCJGcuQCxY8nk8saAOR+0fFj/oHeB/8AwNuv/jVc/oHjL4la5r/iDSLTSvCCXOiSxw3LS3dyEZnTcNhCEkY65Ar2SvKvhV/yVT4r/wDX/af+iDQBo/aPix/0DvA//gbdf/Gq5+/8ZfEqx8Z6V4Zl0rwgb/UbeW4hdbu58tVj+8GOzIPPGAa9krHvPDem3fifT/EE8LNqljDJBBIHICo/3gV6H8aAOT+0fFj/AKB3gf8A8Dbr/wCNVz/jbxl8SvB+lQahqeleEJIZrqK0UW93cs2+Rtqk5QcZ617JWP4p8N6b4o0+Ky1mFpreKeO5VVcoQ6HKnI9+1AHJ/aPix/0DvA//AIG3X/xqquq6r8VNM0u8v59N8FNDawvO4S8uixVVLHGY+uBXp1QahaQ6hYXNndKWt7iJoZFBxlWBBGfoaAPLPCniX4neJ/Dena3p+l+DY7S+hWeJZry5DhT6gRkZ/E1rfaPix/0DvA//AIG3X/xqu08PaPZeH9EstJ0uNo7GzjEUKMxYqo6DJ5NaFAHjfhbxl8SvEt3rltYaV4QR9Hvn0+4M13cgNIoBJTCHK898H2roPtHxY/6B3gf/AMDbr/41Wd8EP+Q/8Tf+xmn/APQVr1WgDxuTxl8Sk8dxeEzpXhD+0pNPOpCQXdz5XlCTy8Z2Z3Z7YxjvXQfaPix/0DvA/wD4G3X/AMarrH8N6a/i2PxK0Lf2vHZmwWXeceSX3429M7u/WtigDxvxf4y+JXhVdGOo6V4Qk/tXUodLg8i7uW2yy52lsoML8pyRk+xroPtHxY/6B3gf/wADbr/41XWeJPDem+Ixpg1aFpRp19FqNttcrtnjzsY46gbjweK2KAPKvEev/FHw/wCH9S1i90zwY9rYW0l1KsV5clyqKWIUGMDOB3Ip2g638Utb0PTtVtNM8Fpb31tHdRLJeXIYK6hgGAjIzg88mvRtb0y11rRr7S9QQyWd7A9vMgYqWR1KsMjkcE07SNPt9I0my02xQpaWcCW8KlixVEUKoyeTwBQBw32j4sf9A7wP/wCBt1/8arn/AAb4y+JXiy21KfTdK8IRpYX82nSie7uVJkiIDFcIfl54JwfavZK8q/Z5/wCQP4x/7GnUP/QloA0ftHxY/wCgd4H/APA26/8AjVc/b+MviVP44u/CqaV4QGo21kl+8hu7nyjGzbQAdmd2fbHvXslY8PhvTYfFdx4jjhYatcWq2ckm84MStuA29OvegDk/tHxY/wCgd4H/APA26/8AjVc/4l8ZfErw7qeg2N7pXhB5tZu/sduYru5Kq+M5fKDA47Z+leyVj674b03XL7SLzUYWkn0q4+1WrK5XZJjGSB147GgDk/tHxY/6B3gf/wADbr/41WP4w8UfE3wp4Z1DXNR0vwdJaWMfmyLBd3LORkDgGMDPPqK9crN8S6JY+JNCvNH1aNpbC7Ty5kVypK5z1HI6UAcLYal8Vb6wtruHTfBIjnjWVQ17dAgMARn9315qx9o+LH/QO8D/APgbdf8Axqu/s7eOztILaAFYYUWNATnCgYH8qloA8u/ZtuZrr4YRvcpGko1C93CMkrk3DscZ7ZYj8K9Rryr9mj/kmI/7CV5/6OavVaACiiigAooooAKKKKACiiigAooooAKKKKAKWq6VYatFDFqdnBdxwzLPGsyBgki/dcZ6EdjV2uC0a4/4Sfx54xtL9pms9Ia2sreNJWQKzReY8g2kfPl1AbqAvGMnN74Ta3c694Gsrq/kMt5DLPaSytjMjQyvHvOO5CAn3JoA6+iiigAooooAKKKxfGUWsT+GryLw00C6q+wRGeQxrjeu/wCYAlTs3YIHBxQBtVTOlWB1kasbOD+0xB9lF1sHmeVu3bN3Xbu5x615/qMsuh/F3w9YaHNctZXVhdz6xatO8scUaAeTNhidrF9y5H3uc9Kw11u8PwNPj7zpxrew6pv81sbfOz5GM48vy/k24x/F975qAPaKK8/0G8XxZ428XQXjTNYaX9ltLWNJWQKXhEryDaR8+XUBuoC8Yyc6Pwm1u517wNZXV/IZbyGWe0llbGZGhlePecdyEBPuTQB19FFFABRRRQAUVT1a9NlagxIJbmVhFBFnG+Q9B9AAST2AJ7V5BH4i1XR/hZ4tuzfzT6oPENzp0V02Ny77wQBlHQbVOQOgwKAPXtL0qw0pLhNMs4LRbiZrmYQoFEkrfec46scDJq7XAa9dr4T8aeEYbN5lsdUNzZ3Ubys4YpCZUkO4n5wUILdSG5zgY5ZdbvD8DT4+86ca3sOqb/NbG3zs+RjOPL8v5NuMfxfe+agD2iimwyLNCkifddQw+hp1ABRRRQAUUV5u2v8A9tfEbxHpM0d5cWOgwW6/ZbQ/6ySVDI8kmCNwVSiqnOTuIBI+UA7/AFKxtdTsJ7LUbeK5tJ1KSwyqGR1PYg9RUtvBFbW8UFvGscMShERRgKoGAAPQCvL7XUzPqHw88PQa3PrGn39tc3txfZ2NeJEi7FbGCAWkBK99gBzyDmeLvFl94Zfx1o9hPKpg/s5tPctva3+1v5LhS2eFILqDkAnHQAUAez0VwWszjwx458HWti8y2erPcWVxE8rOHZYTIkh3E/OChBbqQ3OcDHe0AFFFFABRRUGofaPsFz9h2fa/Kbyd/wB3fg7c+2cUAT1SvtKsL+7srq9s4J7iycyW0kiBmhYjBKnsceleWeC/GFj4h1PStN0832n+LrSbGrWd7KQ3loCJS2TtlBb7pXJBwcKAav6RdTeJ/DnjbWJLm5ivLe+vbawkjlZfsq242IUAOBllLNnO7dg5GBQB6jRXlXhDxNJ448S6LDeBhZf8I1b6tNboxVHuJ2x8wB+YKEbAPHzZxkAjofhrqs943ibTLmWSY6Nq8tnFJKxdzCVSRAWPJIEm3J5IUZJPNAHaUUUUAFFFFABRXn8LXVv8b4bQ395NayaBPcGGWXMav9piAIUYUYHGcZx3p+jXH/CT+PPGNpftM1npDW1lbxpKyBWaLzHkG0j58uoDdQF4xk5AOwt9KsLbU7vUbezgjv7wItxcKgDyhBhQx6nA6Vdrxjwr4svvEkvgXRr6eV/PbUf7QdW2m4+yOYkDEY4YkOwGASMHgkE8XeLL7wy/jrR7CeVTB/Zzae5be1v9rfyXCls8KQXUHIBOOgAoA9norgtZnHhjxz4OtbF5ls9We4sriJ5WcOywmRJDuJ+cFCC3Uhuc4GO9oAKKKKACio7iMzQSRrK8RZSBJHjcvuMgjP4Vw/womuJJPGcVzd3N0LbxBPBE1xKZGVBFDhQT0HJ4HHNAHeHkYNU9H0uw0XTYdP0izgsrGHPlwQIERMkscAcDJJP415P44j1/Qvh1Y6rPcMnj430McC2d3I8V3K8+PK2HAZDHuJXbhcEjpmun0a4/4Sfx54xtL9pms9Ia2sreNJWQKzReY8g2kfPl1AbqAvGMnIB3tFeMeFfFl94kl8C6NfTyv57aj/aDq203H2RzEgYjHDEh2AwCRg8Eg9j4S1GSHx94r8OF5Gs7OO1vLVXYt5SyqwdATztDR5A7biBgAAAHbUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFMnkEUEkhGQilsfQUAR5tft3WD7Z5eO3mbM/njNT14Wt5J/wzafFZCDXPKOtfasfP9o87fnd1xj5Mf3fl6cV7hbyia3ilAwHUNj0yM0ASUUUUAFFFFABRRWL4y0u+1rw1eafpd8lhdz7As7xeYoAdSylcjIZQVPPRqANaGaKYMYZUkCnadjA4PoaYDai9IBgF4yc9PMK/wA8V5tqdskHxm0R/DdukEdhp1y2um3QIjRMo+zRvjgvvDMB1C57GubW8k/4ZtPishBrnlHWvtWPn+0edvzu64x8mP7vy9OKAPcJp4odnnSpHvbau9gNx9B71JXnPhCePxL498cvqVvHPBafZLCCOZQ4SJoBK64PHzNIc+uFz0FXvgtqU+p/D2ya6keWW1nubISOxYskU7xoSTyTtVeaAO4ooooAKKKKACmrIjOyKyl1xuUHkZ6Zqtql6LG0MgQyzMQkMQODI56KPT3PYAk8A15JHqF74bj+M2oLcNNqFkkdwsh6CX7AjDAPRQx4HYcUAevxG1N1P5JgNzx5u3G/23d/zp7zxRypE8qLJJnYhYAtjrgd68q8QCPw34J8AahYosd1Df6fC8o+/Kk5CTBm6tu3ljnOWAJ5GaPDgj8R+DviBqGoor3M2o6hAkp+/EkGUhCnqu3ZuGMYYkjkk0Aes0Vzvw51afXfAHhzVbw5ubzT4JpT6uyAsfzzXRUAFFFFABRRXn/xk1qbTNJ0Gxt2mX+2tZttOl8gkSGJizOqnIwWCbM5GNxPHUAHexzRylxFIjlDtYKwO0+h9DUcBtftM4gMHn5BmCY3e27HP515h4m1Sy8MjxXcWlu2m+IbDw009vawy7rVoEL7ZEUADcrkK2QMDbjg5pniAR+G/BPgDULFFjuob/T4XlH35UnISYM3Vt28sc5ywBPIzQB6q88UcqRPKiySZ2IWALY64HepK8m8OCPxH4O+IGoaiivczajqECSn78SQZSEKeq7dm4YxhiSOSTXb/DnVp9d8AeHNVvDm5vNPgmlPq7ICx/PNAHRUUUUAFFFFACSOsaM8jKqKMlmOABSRyJLGrxsrowyGU5BH1rhvirfajpMWi6lp2nJrEUF2RPpQYCa5DIQGhB+86ctt9MnjGRwuq+LLXUfhv4p1jwzO1pFqGoW1gbIAxTWbPLHDKZF/5ZyMGPT0U5yTQB7dam1JmNoYCS580xY+/wB92O/1p/nxef5Hmp523d5e4bseuPSvPvF80Xhrx34GbTYI7eK7N1YTxQqEDwrA0iDA/utGMemWx1Ncgt5J/wAM2nxWQg1zyjrX2rHz/aPO353dcY+TH935enFAHulFR28omt4pQMB1DY9MjNSUAFFFFABSBlLFQRuABIzyAf8A9RpSMgg9DxXnPgW0hsviv4+gtlKxrb6YeWLEkpNkkkkk/WgD0J54o5UieVFkkzsQsAWx1wO9MP2Wxidz5NvEW3MxwgLHufc15b4cEfiPwd8QNQ1FFe5m1HUIElP34kgykIU9V27NwxjDEkckmq/w61648XeLtBl1VVlEHhO1vtrjK/aJ3IkkA6ZxHgHsGYdzQB7DkYzkY65pkE0VxGJIJEljPRkYMD+IrwltXl+1nwqOdN/4Tcaf5X8P2XyftPk4/u7+NvTb8uMcV3f2n+zfjXBp9qqx22p6JJcTRoMAywzIqvj12yMpPUgKOwoA76iiigAooqO4hS4gkhk3bHUq21ipwfQjBH4UAPDKxYKQSpwQD0PX+opnnReeYfNTzgN2zcN2PXFcB8HoY7eXxzDCoSNPElwqqOw8mCub8f8Ah680z4e6TpUU8N/49m1CM6fqEEHlStN5wd5TySFEW4OScEdeoFAHsANrZIiAwW6O2FXhAzH09zUsjpFGzyMqIoyWY4AHua8/8MNHr3xE8erqcEVzDYtbadAkyhwsRgEjgA8fM0hz64XPQVxfgbXLnW774eaPfu1xbQvqrSeaS3mm1k8mAtn7xUNnnPzAHqAaAPdI3SWNXjZXRhkMpyCPY0VwnhG6Nt8UfGmiwgJZJFZ38ca8KkkqusmB23eWrfUk9SaKAO9ooooAKKKKACiiigAooooAKKKKAOJsNOufDfjTxRqS2Vzd2WtCC5j+zgMyzxx+W0ZBIxkKhDH5eWyRgZu/DDw9P4X8FWGm3pQ3u6W4uNjbgJJZGkZQe4BfGe+K6migAooooAKKKKACs/xDd31jot3c6Rpz6nqEaZgtElSMyt0A3OQoHcknoDjJwK0KKAPNvBUniRtXCap4NudNF4zS6lqdzfW0zT4jYKgWNyQASoUDhQD3JJy28JamfhEfh6LWfz8/YRd8eV9l87PnbvXy+Nn3t3GMfNXrtFAHD6Zpk/hfxj4mv4rG4urDWFt54vswDFZo4/KaMgkYyFQhj8v3skYGb/ww8PT+F/BVhpt6UN7uluLjY24CSWRpGUHuAXxnviupooAKKKKACiiigDH1vS5LmdL63vdQguLeJ1SO1EBL5wSB5qkAnaBnI+teV6V4I8RX/gLxVpWpQX1vf3OqTapZLdy2pjdvtInjyYclWbaA2flGTgV7ZRQBw2qaXceKPGXhfUJLK4tbHRxcXEwuQFLTSR+WsYAJzgM5LD5eBgnJxzbeEtTPwiPw9FrP5+fsIu+PK+y+dnzt3r5fGz727jGPmr12igBI0WONUQYVQAB6CloooAKKKKACuFstKufDXj3xTrEdhcXtprsdtKv2YKXSaFDGUYEjAYbCG6Z3ZI4z3VFAHkfhTwLqXhez8DX0yfabvSTepfQwNuKJdsZDsz97Y4UYHJG4gE4Bf4g8DX3iQeN9TWL7Pd6mbIadFO20kWhEil+u3e+4YPIGCQDwPWaKAOI1HTbnxL418K6k1lc2lnoouLmX7QApaaSPy1jABOdoZyWHy8DBOTjt6KKACiiigArN8T2d3qHhvVbLTLj7Lf3FpLDbz5I8uRkIVsjkYJB4rSooA881bw/b6+PDog8PTaXqek3VvLDcsqL9jjjdS8aupO9XQMm0ZB3AnGKgtdG1LQdC8ZaLZ2E1zJqd3d3OnSIR5bfaBkh2/g2OzZz1XG3ceB6VRQB5v4e8JS+DPEGjXlvFLd2MWgQ6NcNCu51eFtySbOpDbnBxkg7eMZI2vh3oVzpMevX1/EYbrWdUm1AwlgzRIQqRqSMjO1ATgkAkjJxXXUUAFFFFABRRRQB59Nb6z/wt+HWl0C+bS49Ik04zia35kadHDBfN3bdqk9M8jirdhp1z4b8aeKNSWyubuy1oQXMf2cBmWeOPy2jIJGMhUIY/Ly2SMDPbUUAeTeHPA1/4Zi8E6i0X2i7003v9oxQNuIF2TIxXON2xwo45IyQCeCeIPA194kHjfU1i+z3epmyGnRTttJFoRIpfrt3vuGDyBgkA8D1migDiNR0258S+NfCupNZXNpZ6KLi5l+0AKWmkj8tYwATnaGclh8vAwTk47eiigAooooAZO7RQSOkTzMqkiNCAzn0GSBk+5Arhfhnaavp1/wCKRquiXdlHqOsTX8Esk0Dr5bJGoBCSMQ2UPGPxrvaKAPJ5tR8aXOuTX8vw9vGu03w6fNNqdmY7NG48zYJCSx4LEc4+UcZz0Vhp1z4b8aeKNSWyubuy1oQXMf2cBmWeOPy2jIJGMhUIY/Ly2SMDPbUUAeTeHPA1/wCGYvBOotF9ou9NN7/aMUDbiBdkyMVzjdscKOOSMkAng9T4T0a4Xxn4o8SXULwLqYtre2ik+/5UKH52H8O5nbAPOAM4JIHYUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABQQCCCMg8EUUUAeZN4Fvj8Oz4D2w/wBl+b5P23zP+XPzt+3Z18zb8n93+LP8NemqAqgKAAOABRRQAUUUUAFFFFABWf4h/tX+xbv/AIR5bNtWKYt/tjskIY92KqxwOTgDnGOM5GhRQB594N0rxtZX1tDrUHhuDSw7zXUljczzXF1IyEZffGoOSQSc/wAIAGBiqbeBb4/Ds+A9sP8AZfm+T9t8z/lz87ft2dfM2/J/d/iz/DXptFAHI2+iXuh+Kte1XSrWK6g1iOB2iMvlGKeJDGCcgjYyhMkcgr0bPF7wB4dHhTwlYaQZVmliDyTSqMB5ZHZ3IHpuY49sV0FFABRRRQAUUUUAUdV0q11QQfavPDQMXjaG4khZSQQeUYHoSPxrzvQvh7qH9qeM/wC3Vh/s7xCnlARatc3Dxp5AhIZZEAc8ZDE5HQdK9SooA4CTwvqmq6X4U0jV47dINFube5uLhJNwuWgX93sXGRuYKzbumCBuzuCjwxqmmaX4r0jSY7d7fWri4ube4eTaLZp1/eb16kBizLt65wduNx76igDP8PaVBoWg6bpNpn7PY20dtGT1KooUE+/FaFFFABRRRQAVzPjzw5J4hsdNa1eNb/S9Qg1K180kIzxk5RiASAysy5AOM5wcYrpqKAOBv/BcniXxLqmq67GttBc6LJokVskm9tkrFpJGOMA/dCgZ6Ek84CSeF9U1XS/CmkavHbpBotzb3NxcJJuFy0C/u9i4yNzBWbd0wQN2dw7+igDgR4Y1TTNL8V6RpMdu9vrVxcXNvcPJtFs06/vN69SAxZl29c4O3G49d4e0qDQtB03SbTP2exto7aMnqVRQoJ9+K0KKACiiigAooooAwNc028PiDS9ZsEiuHs4Z7aS2kfZuSUxsXRsEbwYgMHAIZuRXOa/4DPiK38TXE0dvp19q8NqkYQ7wsls7SRSyEYy25gDjPyoBk16FRQByFzod7rvivQNW1W2itIdGSd1iEvmmWeVBGSOANiqXwTySw4XHOC3gW+Pw7PgPbD/Zfm+T9t8z/lz87ft2dfM2/J/d/iz/AA16bRQAKAqgKAAOABRRRQAUUUUAB6cda4bw3oviGx8feIdavrbSRZatHax7Yb2R5IvJVwTgwgNnf6jGK7migDgR4Y1TTNL8V6RpMdu9vrVxcXNvcPJtFs06/vN69SAxZl29c4O3G4y6b4PPhnXNJ1DRIhcW9ro6aLNAWCSNHGQ0TqTwSDvBBI+9nPGD3NFAHmw+H9yNNN5vtv7ePiD/AISHbubyt/3PJ34zjyvk3Y6847Vv2GhXFz48k8T6hEtuY9PGnWsG8O4UyeZI7EcAkhAACeFJJ5wOqooAKKKKACmTmVYJDbojzBTsV2KqT2BIBwPfB+lPooA4r4faJruh33iFtWh0wQapqkuoo1tdySNGHRFCFWiUH7mc579Kw/7M+JbanfXZt/B6TXW6Fbr7ZcvLbQE8LGPJAyOvbcwyewHqNFAHJQ6NfaJ4s1/VtLtoruLWUhd4jL5ZjuI0KZJIPyMoTJHIK9Gzxi6P8P5vD9r4QuLF4rrUNENz9oBOwXC3OWm2k9CH2soPZcEjOR6PRQBzHhjQJrTxJ4h8QX6pHd6s0Eawq27yoYUKoCehYlnY44GQMnGSV09FABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFZPizXrPwv4a1LW9SJFpYwtM4Xq2Oij3JwB7mtauT+LHhqbxh8Otd0K0dUubu3xCWOAZFYOoJ7AlQM+9ACaJaa/q2g2+oahrM+n6jdxLOLa2iiaG13DIjwyFnxwGJIyc429ofB3ji11PQ9Qn16ez0y90m9k03UPMlEcKzIcblZj91gVYZ9cc4qbwv4u02bwhb3up3MWnz2kCJf29ywjktZQo3I6nkHPT1BBGQRXnlnpsmmfCz4na9rq/YG8Rtf3cFvdfu3jiaJkhVgejsBnb15A60Aei+OdZ2+CvEd1oGsRxajptjLdB7dopSjLGzKGVgwwdvpnGcGtPw5rNtqGn2KtfW02oPbJJLGki7wdo3EqOnJ9K4y8ttJk+CmsX2kJaSzS+G5IJLmDazyBLd8Kzjk4LNwe5NUNfZLnwb4I07w+yf27BeWDQxRcSWwQqJy69UUR+YrA467TycUAdW/iu10m28S6nrWvaNLpdjL+6W2cB4AE5jk+Y5kLBsAAH2rX0LxDp+raHDqUV7ZmIxI8zRzqyxMVBKsc8Yz3rzK8ubbVL740WOmTwXV5Pp6qkMDh3c/YihwBycMQp9+K1tT1TTtT+HukwLqkllEF04w6nalJFguCQybgflIUohYN2bt1oA9FstRsr55Usry2uHix5iwyq5TOcZweM4P5GrVcN4Bm1UeINatdbudN1WeK3tturWMRiEyky4ikTcyh15b5T0kHTiu5oAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAPO/AGoP8QYNQ8QXdxdJpRvJrXTbWCd4VEUbbDK+wgs7MGPJIUAYGckrZeIpPDfxDu/C2pT3V3p82nf2pYSsrzzRhXKSwkgF5McMpOWwSCTgVX+HFofh5b6j4a1VJY9NS8mudMvdhaKSCRt/lsw4WRWLDDY3DBXPOHafp82q/Ey68cXttd2+lafpv8AZ2nxtA/m3BZy0s3lgbwOiqCMnk4xjIB0mneKPD3idYbLT9SaY31q1zF5JlhZ4gVBZHG0gguucHIzXP8Awn8VW0vw48OS6xqM8tzNEsUl3ch2V5SxAVpiNu4nAwTnPHXirXwRha1+Gmh2dxZXdld2sJjmiurWSB1YsSeHUZznORxXIWWnahN+z9D4S/su9XX7mx+yrby27qIndsiR3xtUKCGJJyCMfe4oA9EttRg/4TnU7Y6xdySxWMch0prVgkahm/fI23L7vu4BPK4+kHgjxlb+J21Mxw3kK297Nbp51nLEAsZCnczKAG3BjtJBHccVl6cJ4vjAPMg1CSJdBjszeNZyiF5llZiPM27M45645x14qLwd9t0mLxJYTadM80ms6hdskkLhHgk3SIytja24si4BJ+9xwcAHYW/iLTbiayihmlJvc/ZnNvIEmwhf5XK7T8qkjnkDitavKfB2kXml6l4cbRL3XH0qQn7Vo+rwmQaankPt8uVkDIVbbGF3NuVjjgZHq1ABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQBDJaW0lwk8lvC86cJIyAsv0PUVNRRQAUgVQzMFAZupA60UUALSKiqMKoAzngd6KKABEVFCooVR0AGBS0UUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAf/9k=&quot; alt=&quot;&quot; /&gt;&lt;/p&gt;
&lt;p&gt;Fig. 1: Time evolution of an initially low-mass planet (5 M&lt;sub&gt;earth&lt;/sub&gt;), starting at 5.2 au in a disc with an initial surface density of 100 g cm&lt;sup&gt;-2&lt;/sup&gt;. Left: Semi-major axis. Right: Planetary mass. The figure shows different models for the torque density and the feeding zone radius we studied in [4].&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;References:&lt;br /&gt;&lt;/strong&gt;[1] D&amp;#8217;Angelo, G. &amp; Lubow, S. H. 2008, Astrophysical Journal, 685, 560&lt;br /&gt;[2] D&amp;#8217;Angelo, G. &amp; Lubow, S. H. 2010, Astrophysical Journal, 724, 730&lt;br /&gt;[3] Schib, O., Mordasini, C., Wenger, N., Marleau, G. D., &amp; Helled, R. 2021, Astronomy and Astrophysics, 645, A43&lt;br /&gt;[4] Schib, Mordasini &amp; Helled 2022, Astronomy and Astrophysics accepted&lt;/p&gt;