caption stringlengths 46 1.13k | code stringlengths 273 223k | image imagewidth (px) 384 384 | pdf unknown | uri stringlengths 30 71 | origin stringclasses 2 values | date timestamp[us]date 2022-09-02 02:02:49 2023-09-26 11:45:36 |
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\small{For a solution in $Q_1$, we prove Hölder continuity \ref{thm:holder} in $Q_{\frac{1}{2}}$. The Intermediate Value Lemma \ref{thm:IVL} relates $Q_{r_0}$ to $Q^-_{r_0}$ in the past. The Weak Harnack inequality \ref{eq:weakH} relates $Q_{\frac{r_0}{2}}$ with $\tilde Q^-_{\frac{r_0}{2}}$ and the Not-so-Strong Harnack inequality relates $Q_{\frac{r_0}{4}}$ with $\tilde Q^-_{\frac{r_0}{4}}$ in the past. Note that all cylinders depend on the value of $s \in (0, 1)$.} | \documentclass[10pt, oneside]{amsart}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{color}
\usepackage[usenames,dvipsnames,svgnames,table]{xcolor}
\usepackage[utf8]{inputenc}
\usepackage[colorlinks=true, pdfstartview=FitV,linkcolor=ForestGreen,citecolor=ForestGreen, urlcolor=black]{hyperref}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale =1]
\draw[dashed] (-6, 0) -- (6, 0) node[anchor=north, scale=1] {$Q_1$};
% big square
\draw [blue] (-3.5,0) -- (3.5,0);
\draw[blue] (-3.5,-7) -- (3.5,-7);
\draw [blue](-3.5,0) -- (-3.5,-7);
\draw [blue](3.5,0) -- (3.5,-7) node[anchor=north, scale=1] {$Q_{\frac{1}{2}}$};
%medium
\draw [violet](-1,0) -- (1, 0);
\draw [violet](-1,-2) -- (1, -2);
\draw [violet](-1,0) -- (-1, -2);
\draw [violet](1,0) -- (1, -2) node[anchor=north, scale=1] {$Q_{r_0}$};
%medium past
\draw[violet] (-1,-4) -- (1, -4);
\draw [violet](-1,-6) -- (1, -6);
\draw [violet](-1,-4) -- (-1, -6);
\draw [violet](1,-4) -- (1, -6) node[anchor=north, scale=1] {$Q^-_{r_0}$};
\draw [orange](-0.5,0) -- (0.5, 0);
\draw[orange] (-0.5,-1) -- (0.5, -1);
\draw [orange](-0.5,0) -- (-0.5, -1);
\draw [orange](0.5,0) -- (0.5, -1) node[anchor=north, scale=0.71] {$Q_{\frac{r_0}{2}}$};
\draw[orange] {(-0.5,-4.5) -- (0.5, -4.5)};
\draw [orange](-0.5,-5.5) -- (0.5, -5.5);
\draw [orange](-0.5,-4.5) -- (-0.5, -5.5);
\draw [orange](0.5,-4.5) -- (0.5, -5.5) node[anchor=north, scale=0.71] {$\tilde Q^-_{\frac{r_0}{2}}$};
\draw [red](-0.25,0) -- (0.25, 0);
\draw [red](-0.25,-0.5) -- (0.25, -0.5);
\draw[red] (-0.25,0) -- (-0.25, -0.5);
\draw[red] (0.25,0) -- (0.25, -0.5) node[anchor=north, scale=0.7] {$Q_{\frac{r_0}{4}}$};
\draw[red] (-0.25,-4.5) -- (0.25, -4.5);
\draw[red] (-0.25,-5) -- (0.25, -5);
\draw[red] (-0.25,-4.5) -- (-0.25, -5);
\draw[red] (0.25,-4.5) -- (0.25, -5)node[anchor=north, scale=0.7] {$\tilde Q^-_{\frac{r_0}{4}}$};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2203.16137 | arxiv | 2022-12-15T02:08:56 | |
The isotropic irradiation approximation. The starlight incidents on the dayside of the planet isotropically through the area $\pi R_p^2$. Due to atmospheric heat redistribution from dayside to nightside (shown in green arrow), the redistribution parameter is altered. The energy emitted from the dayside of a hot Jupiter decreases with the increase in the heat redistribution. | \documentclass[review]{elsarticle}
\usepackage{tikz}
\usepackage{amsmath}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}
\draw (0,0) circle(1.5cm);
\fill[black!70] (0,0) circle(1.5cm);
\fill[white] (0,0) -- (-90:1.5cm) arc (-90:90:1.5cm) -- cycle;
\draw (0,0) -- (1.06,1.06);
\draw node at (0.5,0.1) {$R_p$};
\draw [dashed](4,0) ellipse(0.5cm and 1.5cm);
\draw [dashed](4,0) -- (4,1.5);
\draw node at (4.3,0.5) {$R_p$};
\draw[red] (9,3)node[right]{star} arc(150:200:7cm);
\draw[thick,<-] (1.6,0) -- (8,0);
\draw[thick,<-] (0.5,1.5) -- (8.4,1.5);
\draw[thick,<-] (0.5,-1.5) -- (8,-1.5);
\draw[thick,<->] (0,-2.1) -- (8,-2.1);
\draw node at (4,-2.3) {a};
%emission from dayside
\draw [thick,->] (0.1,1.5)--(0.4,2);
\draw [thick,->] (1.25,1.05)--(1.7,1.4);
\draw [thick,->] (1.4,0.5)--(2.0,0.8);
\draw [thick,->] (1.4,-0.5)--(2.0,-0.8);
\draw [thick,->] (1.25,-1.05)--(1.7,-1.4);
\draw [thick,->] (0.1,-1.5)--(0.4,-2);
%Atmospheric circulation
\draw[thick,green, ->] (0.7,-0.3) arc (0:-190:0.7);
\draw[thick,green, <-] (0.7,0.3) arc (0:190:0.7);
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2210.08755 | arxiv | 2022-10-18T02:22:35 | |
Bifurcation for $B=0.1$. (Top): The color-coding indicates the position of the Dirac points for given values of $\alpha \in \mathbb R.$ The right figure illustrates the bifurcation at $\Gamma$ and the left figure at a non-equivalent (modulo $\Lambda^*$) bifurcation point that is a vertex of the boundary of the Brillouin zone, see Figure \ref{f:1}. | \documentclass[reqno,12pt,letterpaper]{amsart}
\usepackage{amsmath,amssymb,amsthm,graphicx,mathrsfs,url}
\usepackage[usenames,dvipsnames]{color}
\usepackage[colorlinks=true,linkcolor=Red,citecolor=Green]{hyperref}
\usepackage{tikz}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}
\node at (0,0) {\includegraphics[trim={2.1cm 0 0 0},width=7.5cm]{example-image}};
\node at (7.6,0){\includegraphics[trim={1.7cm 0 0 0},width=7.5cm]{example-image}};
\draw [-{Stealth[length=3mm, width=2mm]}](-0.7,0)-- (-0.7,2.5);
\draw [-{Stealth[length=3mm, width=2mm]}](-0.7,0)-- (-0.7,-2.5);
\draw [-{Stealth[length=3mm, width=2mm]}](-2.9-0.6,-0.1)-- (-1,-0.1);
\draw [-{Stealth[length=3mm, width=2mm]}](2.7-0.6,-0.1)-- (-0.7,-0.1);
\node at (-0.7+1.3,0.3+0.2){\small Outgoing DPs};
\node at (-2-0.6,-0.4){\small Incoming DP};
\node at (2-0.6,-0.4){\small Incoming DP};
\draw [-{Stealth[length=3mm, width=2mm]}](-0.8+8,2.5)--(-0.8+8,0.1);
\draw [-{Stealth[length=3mm, width=2mm]}] (-0.8+8,-2.5) -- (-0.8+8,0.1);
\draw [-{Stealth[length=3mm, width=2mm]}](-1+8,-0.1)--(-2.9-0.6+8,-0.1);
\draw [-{Stealth[length=3mm, width=2mm]}] (-1+8,-0.1)--(2.7-0.6+8,-0.1);
\node at (-0.7+1.3+8,0.45){\small Incoming DPs};
\node at (-2-0.6+8,-0.4){\small Outgoing DP};
\node at (2-0.6+7.4,-0.4){\small Outgoing DP};
\node at (-1,-3) {$\Re k$};
\node at (-4.5,0.5) {$\Im k$};
\node at (7,-3) {$\Re k$};
\node at (2.5,-3) {$\alpha$};
\node at (7.6+2.5,-3) {$\alpha$};
\end{tikzpicture}
\end{document} | 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1MDUgMzU0LjIgNjQxLjQgOTc5LjIgOTc5LjIgOTc5LjIgOTc5LjIgMjcyIDI3MiA0ODkuNiA0ODkuNiA0ODkuNiA0ODkuNiA0ODkuNiA0ODkuNiA0ODkuNiA0ODkuNiA0ODkuNiA0ODkuNiA0ODkuNiA0ODkuNiAyNzIgMjcyIDc2MS42IDQ4OS42IDc2MS42IDQ4OS42IDUxNi45IDczNCA3NDMuOSA3MDAuNSA4MTMgNzI0LjggNjMzLjggNzcyLjQgODExLjMgNDMxLjkgNTQxLjIgODMzIDY2Ni4yIDk0Ny4zIDc4NC4xIDc0OC4zIDYzMS4xIDc3NS41IDc0NS4zIDYwMi4yIDU3My45IDY2NSA1NzAuOCA5MjQuNCA4MTIuNiA1NjguMSA2NzAuMiAzODAuOCAzODAuOCAzODAuOCA5NzkuMiA5NzkuMiA0MTAuOSA1MTQgNDE2LjMgNDIxLjQgNTA4LjggNDUzLjggNDgyLjYgNDY4LjkgNTYzLjcgMzM0IDQwNS4xIDUwOS4zXQplbmRvYmoKCjIzIDAgb2JqCls3MjIuMiA3MjIuMl0KZW5kb2JqCgoyNCAwIG9iagpbNzYzLjkgNjgwLjYgNjUyLjggNzg0LjcgNzUwIDM2MS4xIDUxMy45IDc3Ny44IDYyNSA5MTYuNyA3NTAgNzc3LjggNjgwLjYgNzc3LjggNzM2LjEgNTU1LjYgNzIyLjIgNzUwIDc1MCAxMDI3LjggNzUwIDc1MCA2MTEuMSAyNzcuOCA1MDAgMjc3LjggNTAwIDI3Ny44IDI3Ny44IDUwMCA1NTUuNiA0NDQuNCA1NTUuNiA0NDQuNCAzMDUuNiA1MDAgNTU1LjYgMjc3LjggMzA1LjYgNTI3LjggMjc3LjggODMzLjMgNTU1LjYgNTAwIDU1NS42IDUyNy44IDM5MS43IDM5NC40IDM4OC45IDU1NS42XQplbmRvYmoKCjI1IDAgb2JqCjw8L0xlbmd0aDEgMTQxMi9MZW5ndGgyIDYyOTAvTGVuZ3RoMyAwL0xlbmd0aCA3MjU1L0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42o11B1STa9MtWGhKR+kQmtIh9Ca9SO+C9JAEEoQEktBBOoIISO+9Si/CoUuRqiBFkA7SpElHpAh/LOc7//nuXevelbWSd2b2zDPzzN5vOFj0DPkUIEhbqCoSgeED8gtKAZS0tdWBQgBBQWF+QUEhIg4OIzjGEfq3n4jjERSFhiMRUv8LoYSCgjBYnzIIgwVqIxEADVdHAFAYABSTAopLCQoChAQFJf8GIlFSAGWQGxwC0OYHaCARUDQRhxLS2RMFt4dhsOf8/QjgBHMBgJKS4ry/0gEKTlAUHAxCALRBGBjUCXsiGOQIMESC4VCM579KcMrAMBhnKQEBd3d3fpATmh+Jspfl4gW4wzEwgAEUDUW5QSGAnyMDdEBO0D+j8RNxAIxgcPTvgCHSDuMOQkEBWIcjHAxFoLEprggIFAXAng4wVNcC6DpDEb/BWr8BvIA/lwMA8gP/U+5P9s9CcMSvZBAYjHRyBiE84Qh7gB3cEQrQVdXix3hgeAEgBOQnEOSIRmLzQW4guCPIFgv41ToIoKqgDwBhJ/wzHxqMgjtj0PxouOPPGQV+lsFeswoCooR0coIiMGiin/0pw1FQMPbePQX+LPcJAumO8P7bsoMjIHY/x4C4OgsYI+AurlB15T8YrIvoH589FAMQFZQQF5YQA0BdAFAPMEzg5wFGns7QX0HgTzd2Bl9vZ6QzwA47BtQXbgfF/hB5o0FuUAAG5Qr19f7fgX9bREAgAAIHYwC2UHs4guif6lg31O63jd0/Cu4BMBfE0g8IEPz5+c+TJZZhECTC0fMf+K8VCxirqWpq6PP8Gfk/QUVFpAfAm08YCOATEhUEAAWFxADi2Afff9fRA8H/9CH4T646wg6JzfjdL/ai/u7Z7Q8JOP8ohAvw72I6SCx1oQDOf5huISgqCMZ+Af+/+f4r5f9G859V/p9M/++OVF0dHX/FOX8D/o84yAnu6PkHgaWuKwYrA20kVgyI/4aaQH9rVxsKgbs6/XdUHQPCykEBYY+lNB9QhF9Q5LcfjlaFe0AhenAMGPabNr/9xj8F5whHQPWQaPjPVww2S1Dwv2JYlYGfYF8jaCw3f4dAaKzkML8W+dOGYkX17z5UEGAk5Kf6hETFACAUCuRJhF0+1hIFeAOxMoVAPX6xGyDAj0BisCkA7My+ADskiujnorEkFQA5OsNAP92/PYLiAIEnv8x/nQR2RaGwrfyiCLaNv+1foodCPaBgoqkJJFg62KEmuOV7lQK9O9/qkMzN3eTvpkJ8Q/lWBJhulVHrz7GGGenTmiWqU2+BqlYOb3QUXb5nzn869F6pZX7tKfKNj1l13Z7Z9uXE1Tfcj3HeJwysE6QNODkmiYpMUkWobhw9xgiydkI5iH23IQepz/2arsk493tUxariGiEtOm3tVcXpWncZJB9tLxlgGm37jFZFj2juZy05RQctv7AIT9JJZdWUaTslinWvJFvsHeibJX/L2BERoOEWuLrHHoohV5HuY1AWwa98NJtLcpFV5LaVSuFtq0apdNdQO4fFgIaoTyk3vnGXxuKCDd/UIT0cFke0RUPampv6pQCG9E86FRbtDJJIyvrI+sz+uTdEZk7VwL+t8dOzgVHqk6mbiwMrjrfah5s509l8YGXFB35P3ykYRjgkV4DN+PhNsqETlDlvKbjdwYK3ThrVgEkyHpnd+QfJbSFSxvDRqThp9va/qrro11eIWlprd/UnQTteHy1qaw0AL0EUjk96k4jsjVflXZ5LDZWKN6Ml4/HjE+Kpl3aifQSs6uXiomGEmem3CEbQtGHf1zYPxF3cMGS3FT2/LKx8MalbGR0mtltcuXMrpMZrGJP0tG24azDKfOt7ikQThdGxQpiIXeVaAGVjZv7gKO0ATdbBjGaE+QP2ZyIqhFpNhfc2z8ftU8ZXg4PviYvduSd7cFl3psyZSugbK8H4GLLex5tjcpGgiM79i3W6ZUQOMSVZpfpoIbiR5fTOsGm99xqLlb1PudvRPNA7sMVDOJa88m2ctbIzc9MNqTLNfHhUhjvOtdTerBQB24c2kXZgEGtm27sEEbCVOx2BpEodGnCiQmq8NUww5RdZea3VcDupUFNFoH2BamOXQj1JuhNiND+ZKJNneXnsI1axqnIK7JnKU5fXvV4D51IvbFUQmwl/KrfqF3g5QyMxmsKgRck9ubjq08AAeksoPwfnN7u3Sx87PfgiD04PNuZ7zjHsNy7hI+zLYvlUPkH6QT6dPca5Xlfh0+RDOoT8AdukR34pE9qo2sWjtFA70IUIn+B1XdSGRGnTZnAMEQ1FIZFDarKdeK0ODyC2iviwhUS4qzQ+qlVdwnCYN2JmLdsM3UaeTK1i9EX7rLlbQxcnOmXTLXx9T+/LtDJ9QlC3OgVjQdLwHq7x3JTEt1sUzDy17V7WkRwDggKwgVWGzvNZB4N3VKwRZAlQH2Cdga6YMecj/HGD5MmHo0IHm3nKjJVX0w55XBE3xqnO+yocCnnpMgMkVlY7N3rOQXmc8r55NU7J1wFFQ2NtIiPrhQQHQ7jctlE3IEP2GDWarI7zw9XueXv7DEmCU6HxEaFwkmCTv+JtnbSHeK9LpHNU8gd7plD5z4/IVXmNM8kXspN3ypgqxW7OBh0AGPQT81E6Jm1qoMQlYto19XU89uF8zojOXtaMUIriKq5Lusvi6bCUKosbJfhGZq8OY5fXl+mzztsuElruTSMh9bJu46XypQ9oJ3Wkur6y7UkvXFCF4U/OQqaiU7S+L3VmkUjiaToFDBK6qy3Tbht9JGgqTmXcU9lRw6MfoCvnmVXLPCAUXNw5PCSac7+GmgYzi5dU+ryqTh6A7jD391DcFClTWmFA+Oiyht9y+vBofSCtRvn2tMIPh8yzgQ0CJuL9vOO0wlnJlsk3AdMFT/abH+9RlPNcJ8CrlUWhI99y2s3Nztb4SBIDqmEQbg4xhZlG6/B2JAdXuZnaKHXa4vMqpbi3Ww63hugIfc9K0XRpTpszATzn45zLyFgoOknRbARVGyscWM0cT3RrDJlJKUsQP2X/gcb+icATAp020Yd65iuCgybOyRiGMnz/VYMR9yseMduG3U6G7qp9v8H+zEHzMr5+jnrLB7DhotYPmixVhW8gxRGdyYYLJkO1Fy5XCqE1Q8LP4iiplb8SvIMXjcIulL+R7OkF7Is644RKSc/3h7cNm2vfD3WlxmSea1/qR/oxXIgrMp+Nb75oba3bu9Tz9qyh51drqLurZk1NZfTyfYnJoYcHm4//GEW3Q9ukLNQVSJTXkLYVLQJuMM6vSjuEafdwI3uPZjIM0ju3dczlpXKEvqjQ0PnNs/qIrwffJG7bseyGHZiihPVfaskqXhVzKJ4ri9lnzJo+aU7dgBVwNxnBdcMcJsdnY7LfZuhApWuWSiiok/1wrIdqQkvi5rlepu1QrZ08taRoqT99mBu8rru3MqkqslnK0XhQiPd94cZNhLxOQmHpiUV9sWEXrLcNDJpZfVi62bEsbh/4Y7/HOnR7rd6NAvhwpdboIA6WZo/Ivqrbzh1qYuSYC36iA+cdDXlCBhQ7+GgzroKzfjgjm17ZPu152iw7ctsIdZ1UmPSOTSa7RTdNQfTEQE/1UZ3GNkmI77WgAXtSlyV8+UdvbTOWnqsjuXg/V6kvZ3qfET6WF5JlLgtQdn+WgnjN/K76POYY/FjC+kGM+n3uuXn72O1vc0lmjRaNwS3vMRv9DKo9LN0Dy4l4N6hpZ6bENCSK/UZqj2jdxxOcaNkCZjQwcl7jnoMzcrnQrIPNy4l6Sdal7863n7F9V1nyNPBiNvjUKb5AHUd/XOwZyRsvcne1kzCox0Rkd3hayuGVXqyHWUY0P8OH2FPFpb+q2p3eECqhDbpxfRfMNp6dgKmLcsLJ6eeNW5L3zyfk7xZSpLzCU3X8LHDklHibSotYdIag7g1H11Bh3B2Zo8UtB7XEKy1NrZpTt6OZx76R72v9y1XPVWgHJx4/Hic8fPuI1wc+dLkyFthrNA3M9qcDGYPdytivv/cI2nVZi+X/asNcpR7ZZZx8vhZC1oTHGWsaZG7mUuCzrCVV2BvbWJ7RcN+7MNgoIl5d8zsnqa5HLHGYvdiDNFdCXrwveWdT/ttO+gaC8j1L8rZGmvRVjilNayHvJl4lXNB7HiNr7XGl9spVdmGCE1WLKkjS5195t8T7WfKsm7gqBKccp91YjYWibm2KL17aBpHxH0s9PeTi04Z0os6+vCTqsC8aPbg2YXUPWL+ar0zpSa11PsZz9znioID7hmiWxQIhJmeHRTPumHIiOONLfhZvDEdbyR78te4IA1f0j0veHHkFaKu8sqGreJ/Zh5IXIz0sdywx4Uy7TV0T+vLVLWF81RY2jrh5Umshy+y2hd9eE+0x+eDqmXfoS03T7bUKLAsQmyjQ9laLRhcHd2VWSonoqFp1qTyepPyIHoWL01qtRI0b5zNZRhbu+H98wUb9TqiuztClJ5p3/UlrdM94eafVytaxMqXthWa+aNY8+2hyJrhYMG2dVvYYln2tLRsd9IaYtTEH+aKV5eLL5dspAkZyU7id8oBuws161gAxo3y5b4XF10zx9eUNOhxdbXE1b9weFid70NSP7z16zfXOCvG0PsHxkCVFVJiS4yAR64RveZ645vhmKiAtlDPFfNwv6Rn7vHFKqK4G7THxBBPxgOv2Dw/MmhcFGtpyJ6Az53GdKqMu6V45Jk1FFiK1ODsfG9PDjW9nkJ0go0EvRq5aUlFTt3929onsxSDdbXa3HyKiQviavs07PMfxwasexdl1PAPTChNkGUv5OHiTR1OF8Q43dH44kwSqshl0Nb7XFBygXQcX4insHK08vAua9oJjdpP0wCbqVI2fWobicGGKQ+9gvZ2BFRR3H3737pNueEedo6r93B/K636+W2Um53F2jVJyffDHd06tsWqyhBvkIP37RAemnPyRm/F3EM2j6MLF3n5pBAOyumKvRkk/KCTSPangdntVE73f3Gf3/gL1cF6zFZrON6sYDFzwATVCynR4vZTV1lIz06ny3ejidPjuiPLZ1Gq1Rx7iw+T6jrNFXSBwBI2I73oDA7LEutFn589viObzx5S/5F6Ny9u36P1602MMmD5r0UnitZXPrPKNRNJXYHc3LJi4LwIVYAAPia+64fp2862imsEA8903I58KaF5TG22XofwvHUZ2j7s/PP7kvW02HYWz7oUXxRwgdX8WL63wpHyq1MGZ3ofke2QuvTyDMRuZ5OOu3ldy3Dp7cN+/SnyFOaDvL6mmBv3LQWz3TmlU2AptJBzudc7vM5nlRgTJGTzuJ0u7Est4t85WFbX/bYN3X0A2X+0TseUJuWh1WJO0zeiiJ5kFxbHkulRsyUbnwW4h+/tBPvIh+fHDqFh21PruWfXS++TkktmDXePt3v0R+GLFOSeqJ3InS/sicmotv6GIffnohZLBwo+pkjI0AdpS/V7KgAbP9pVlwMNG/sv03rFX3MKBta12QzM29Fvt84r0OWEvVb9y+E1TjhOpfzr+8ReoB8glR1Ss4r2yMTmPZ3fI6cjkGSF0pKGcdODUPDotuDMtZS/Y5yiy3q6N0lZAu760kbltVVHCaFdRMxBDGTlj8JBhVj7M3L/e0vK1xyPuoNDi98SdN76yhj4nDpqT2lcTC2LSH1y8dG8fNxEaIzV7QFQL9U4Dp88X5xZ5XZwY6NTlUcBsqAJxfehj54VunVzTepZfcqTlrktP497eEJL23dlkNCvYppYyNDJYAkVG/MQX34ZPp+TIUfZiMKKA/uXNL3enEl/CpmM0BAt0hnTTq7vfX8flsMYJCnl7GU+gmvt0/sRhMmbVao9Mh/pgFVDKZHfmvgybiBfKuMkuogfeqTpX91hKx7sLu4jU4EYQ3dxUMLRMgAW3js4LW1eVLqYXdW/GRYm6n1IkKHn1T5T5rUkxu1yqTo883uBmZ37xY9b+yqE+pAChWaVOn7BtaVIL7aU+zioKYGNgeVeXxMMat+Lv6AcTr1gLJTnbFbXaYSnAnVMyHm0kLLO+2ckaSz+JcRVwt10V10r7PO/wQZQ7YNB9YKqOM89LgWkwocVsSCXnqNujG0R3f4VJ+WC9QQu8UtwYYOK84FtCZvVGoenTWMDZXmZqbSGtgWwy4Vc0ZoupFdw+Rs1d3WDn+fGVYkF+cC+BwsaqxEthBXPWRHuH+Dcwf9op+7fTSfnLw8ceuaBnEggSP/LtgrkQMfFSx4Cgitg9fLxTTj64wGdrcgiKSHKht2+Zb1Vs24lfxXzBJyAmrp/SMNijCVYn2mx0QT/YQtBCfSmSPirzWS+69tadOzAPlsuR8uceT+V+sOqpUelm4Kj4eHq91BxWzDxPvKH/lT0pynBy0btw+6BbMvQeeclieJGsmHpD9gnX1Yaew9lM5tYunkG4YiNXoCLbJMP0cAcJciLsgdWPBcaMfRCQeJe0UG0tMD25jEz//g7J3HMNcngRBK1en0xib1tB92rAw47hlFx2DyNA901MOrzf2AgnPMfJmG9qkPP6iOOV/Me7dKGZYSGZHdq1j+l78kZ7E4iCGa+P96g3rx0fZEYaVjJtxZv7cUosP7mX3KTMe4J3CrdNDwoIgrvCZQlsspDJLhuz7K+iOUrfHJFFhl2SxRAz2G9KgKcdBoDp1b1J1ts3x5UkLBKrjAFqRUmVdZ0+VUIZMqouz8egwlIdQPABzipeo4llyW2r8r0Ndf+iL7jF2++rZ+8ebvgQnNKD0FTFt5xGn6I7y8W+MuLowkQ6O6kyHQ/fACc1a+vn+4R3l1pLiNuHvxLl1b6S7ZS5+cxja8qE79OzLTaOqjLNjcJy2spSwiJ8+H23XSODPkVv7w6cIj3nzwSftOVDnnQRnxm37cvsueV+273uebaDeRGVue018Qqf/x4fE0/yDAfpRzUxOFf21xm2kFwcVpAz0mS07Nkim1acSSgBU+BhlPqBQGXPsXvhbmrzPZuQabG0sx5q37AISX00vcyUhZrK0YtnphvG3Y+vHbT0A89jaKKlOuYYB3Wqy0PLt6o+HSXq4RvMrzVF8DKJUDpgtHk0bBfoW7fEhxftx1Xt2Q1X7Bxdk5RvDpe83uNPIRlvw0md9A9rfg72xaXCcT+ROry+1l6jdlBWwDHeysckLaK/aTx8W5ywZZmCT8/i5HKha7gG/eXT/XFl6c9jB6nw0GrXki+ocZwffCdsQcFsLHath3hkkYs43z4Vf225PrNbIkFk/uEDwTN5ytFAR/IXtJyWDjfmXArIu7bprhABKjTy/SHX5MTt2mPHvlhE9+wnkONccfBQZGRXLlKlxuI8m1IJg/6F603iChBJZTI1sME7EFi/JZHZW8uTOD4+vVhU37c5w2tap71yu7yxjdmfrnLEl5vHFqo86y/4ObyG7avbx7IrOtF972YKGYMpE6sh+pVWvDTooxtHhe5MuL53J40BLzrroWmiKomQsaofLI2Sga0fTGjln4QmVjt/8uPaTl7jXHrK6Mk6tlowSZe+59ODbuvMKyjhNXndtmISf9Ms8i/V5WZymCO7OJLcB7e+Kyo/eEXPqro4KGLa1IJH8X42wr2H1Vdehs9/igbux7tZslpxwyP0tULinnAvhEthVi2vPQe8Pdbqu7Nm8kabb+aNxkaqd6Wlwvv8UPes3BEZ/9KkJRXwdfKpqosxILnlnUJR4dhEq6u1ZmAmxeKVyXaC+br6aABbmELBhuJN7OzGeHN8DyNN+wwOv0QW+62/jAICPuKROl7YX6Vpg16Z7J2pdTX0Kcu/oDW5IsmTqcTjnTXhpltErrVLf1Kpih4SJWHcRVXjPk18r2hXmPr4WDz69kdjViRyOwcgZRyo1zNyd7vrlFzdskqO0kWc/YQ1vmebpSbh6oPd9xO6vJa5j4H8y0KxKThyGxm1pl+TUG8KkipS8K491pNoNj9av7i/N62uHZwfXrjk9OU6B/Wb+C/krJ7Kl9Z2Hy95PDcYX+e7Mj6oz75cn7t2/KDN1Lf0RCsc8nxxwjvZu91Ftqfxg37p2ggbh2WA+RavkwV6LdM1yMvFV8BjQmw4kb0nj4aJjICtTYs1AbjL+NzTrlyL1MJLOJoeTruRTfPZdHzeafRIWD8kulo4yZalz/xi0vTqa1b2dnxgJ+MOzTtjnBhvPNsKZw8+Tu6ehyyPTmYDIPUs9f7SEJFs/cJpMw7/gVfxD36AHcmK52bEdTIb+uauSDGLfh10FzK2uHfOY7ig22nlp69YSLJvhCbK18OVNp88NR9EGKcQ3+nJYU+hbECi7/q83i9reyzQh4lo2xY4aLC2zntA/cjnZS57U42O1BjF1t5fuuGVXy6ekbi1nn6+NByYp/VmOJzhQ3ziimxrzE1YSezxeZM4fWATFaizRFnIE5PAmtDi1iH91Gy26J4eYXqZMoshQ1BUiq7gKOk7VDeeHyGEJ3fOd4ieZmI+oHkyxiVbIlCq5BA5LPTayFAqWUwLsqgaexn9pOnDfI4GG83OnsWLFVyf+dMh7uC6/vKcB0XQuYtCSOezxHUV7Uze9Il8aiYaroCvkhAv92UXkenrBPY5i5MAen5JO+6+kR9BMDdfyZuctGr+d3VLWVtHIiTO8MrEnU9zi88Sna5fDD0r25CQrlsocDFbEoJchZC/vgYl8KnbPzyT7o2k29nIUNPG6Rz6Sqhd8UgyDBWdrW53ZeUWCzX6YK4VIN078I5VIsbILhUNP9JfufGKFfsPRwbz2gqvvfaIi0DgEQL9tqsb5+Gtjuh2pTjiD5KTMXK1wpS80Jhkk4S8p5uV2sFbKEeL9IU8HbG2Bhsbha/WvXeubz7XxsxiBNOfo6qy3iFIcQnMcpefmtRwyIEFNjzmKq2InDsp9TXHhSq15Hji5h8UEFKUISkdHuBkbYU2quURMpdgMupkd1apjfNoKOUuveQ6VEVfaE5LpKi9fqgv8zSogkbw1hxVhgKlTa8DxfvPdaTMZ8g7LiIOrZY+N4kL2GNF4yZ5X7PsGxTxe6W/KShh7JtwUWazRtbmHV/UtPxYqGxofb4mt5KqQVpaZGBgO+he3aP7toFLrtz68GlcKTiz/+oHudlSrU2avU+4Sxry0fso+tTDJaWXTm8vYs3tQlNDuMrc+D+H3gA6Vim2OIfjUzL1y12Pnv9xv6V92OW877gDFlZgHuzk4OWec7dmOKUnPEOcW3Pd/C7+mINwVvK7aM6yplcJh3cGNSGj719A+Sb6baJfeMsr89xMUXerfmbFu1bdMWMCfLEyFuF2iXaM/kuvnWH6W2jt8xHTZZVl1dS4wctS2T6/AMsjPYahddsdl3NZp/ea8t9ENDg2AZLfTfceRBAvDYHSDm5btv4lLq2fUqD05BOVAySbFSyCR2Hv76f9Mj/4zMr67uesb3wdx1J5+uC6xGEzR2AaHvKUGeYPUzdRsClUwjm91/Dl+3FZQCkriQ9+Yrrw1Cn/RoCG+IjLj2YdJVfuetqIYfgaYEEg53lD3WHnBvLxoQsTOBSXtWP0zvjyx67uFFT1gmMCsqbDKmyEYZOJrZl8r23tlXn0cWj+bN0uleliNvf41v0G9UIYT+5BHB4NpSjEeFV1taL+22OX0/DOihKx8M61DLW648bNlE1iyH41zQeF8nd052xD0DnxJIvgONHy6w5CrBv2s554L9eaIdX2LsuT7/GfCnS99/WOsfLsV3bsJL3Z+D+XZz4wCmVuZHN0cmVhbQplbmRvYmoKCjI2IDAgb2JqCjw8L1R5cGUvRm9udERlc2NyaXB0b3IvRm9udE5hbWUvVUdGS0pRK0NNTUkxMi9GbGFncyA0L0ZvbnRCQm94Wy0zMSAtMjUwIDEwMjYgNzUwXS9Bc2NlbnQgNjk0L0NhcEhlaWdodCA2ODMvRGVzY2VudCAtMTk0L0l0YWxpY0FuZ2xlIC0xNC9TdGVtViA2NS9YSGVpZ2h0IDQzMS9DaGFyU2V0KC9hbHBoYS9rKS9Gb250RmlsZSAyNSAwIFI+PgplbmRvYmoKCjI3IDAgb2JqCjw8L0xlbmd0aDEgMTUzOS9MZW5ndGgyIDEwMjQyL0xlbmd0aDMgMC9MZW5ndGggMTEyNjEvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjajbcFUJvrFi6Me3EvEiju7u7u7hYgNCQQgru3SGmxCl7c3aW4O5Tiri1WKMXhsuWcs8/5/5l7JzPJ9yx7lzzrnS+MdDr6nLIOUDugEhQC5+Tl4hEDyGvq8fIAeHj4uXh4+LAYGQ1AcDDwbzEWoxEQ5gGCQsT+YSAPA9rCn2QKtvAnO00oBKDmCQbw8gN4hcR4hcV4eAB8PDyi/zKEwsQACrZeIAeAJhdADQoBemAxykPdfGEgJ2f40zH/egSw2LMCeEVFhTn+dAfIugJhIHtbCEDTFu4MdH060d4WDNCH2oOAcN//CsEi4QyHu4lxc3t7e3PZunpwQWFOUqwcAG8Q3BmgB/QAwryADoA/CgZo2boC/6qMC4sRYOAM8vhLrg91hHvbwoCAJwEYZA+EeDx5eEIcgDDA0+EAfVUNgLYbEPKXscZfBhyAv3sD4OXi/Xe4v73/CASC/Olsa28PdXWzhfiCIE4ARxAYCNBW0uCC+8A5ALYQhz8MbcEe0Cd/Wy9bENjW7sngz8xtAUqyugDbpwL/Ls/DHgZyg3tweYDAf5TI/UeYpy4rQhzkoa6uQAjcA+uP/BRAMKD9U9t9uf+a7EsI1Bvi/zdwBEEcHP8owsHTjdsQAnL3BKoq/G3yJML6j8wJCAcI8vDwCIvyA4DuAKCPvTP3H+ENfN2Afyp5/xA/VRDo7wZ1Azg+FQEMBDkCn36w/D1svYAAOMwTGOj/T8V/IyxeXoADyB4OsAM6gSBY/4n+JAY6/oWfhg8D+QDMeZ64xwvg+ePz7yfLJ3o5QCFg3/+Y/zlfbnV9PVVNQ/a/Kv63Tk4O6gPw5xTgAXDyCfIAeP8gmfDTQ+B/h9GxBf2dxj98VSGOUIDoX9k+telfGXv9TQCWv5eDFfDfsbSgT6wFAlj+Q3ILHkEe+6cv3v9nqv/p8v/H8D+i/N9I/r8JKXmCwX+qWf7U/3/Utq4gsO/fBk+k9YQ/LYAm9GkNIP9ragz8a2k1gQ4gT9f/1arCbZ8WQRbiBP53G0EeSiAfoIMOCG7v/Bdb/pIb/rFlYBAEqAP1AP1xrQA4n0bzP7qn1bJ/+XR1eDxR8k8V8Glz/vtIRYg91OGPFeMTFALYwmC2vlhPQ35CggB/3qdddAD6/EliADcXBAp/cgE8lRcIcITCsP6YqJAIgFvhD9GfSJgfwK36HyQK4Nb+NxLhAXDr/BuJPuns/414eZ4cnf4BBQHcoH/AJ2PX/8AndnJD/gF5AdzQf8AnX49/QCEAN/wfUBjA7fkn/K822HvCYE83wZ9EferRv/Cf1w4Q6AO0x1qYg9qLR7jURLRdVck+9+bcGZecYdwx/sDK6b8Aa/e8wUVPYa1MD1uD/ZZNGerGX95SZLmQWaS99//RXIce3ZKk23obcGf9Tm9qpxVrfpK0fyLvh2xtHzUmFaeBzG7AvXuAUehL5GbEL2qM2e6eIrg6n4muvHuVfWr7SpZGo+Z2dHcrhdSx70qmOeMN4yxCC2cZc+wyvpLTo8E5qTHYCE998GYvfs8QZk080qq9Y8cKPIznz/c3W+d7c/3Vb6XMgM+jk4KBwoycGvmCcHSKyV9uP1WN7Jt/Uf5y/7xPs0Q+bdYzjvfLnPhc+3xplSC9WEhjT7XX6EIH73Z2CiCC+Xk/0XZSdXEjsTWMXpukstU6lghezf8SSL3f4Si30vbbqMvR5T3Vouh07SNg9pmp84+Qpi7/2zr3laHhfs7LqPctV0ONw1tdgcaF0n3SVE7evGyKzuYxy0tiadTvUUvgY0idxkBVYnyORa8UkTtU20gJ/7CfcjeUvJt5PDxmIqg9iKNUx4LZAT/fBJbXn2p1rM8SfAN7E1qGP4YLaT3afXl/eppH4cyvaJMexZKTptj1Omc1gVlXvAZYPxtewn26Xk7KpVDsS6uRuCk4/3OAIV9AVbln51vFUIxFmK/LtWgu17FRuWHrW8FcXbrtw1jOsf360EG58Mhe0d8O+5u/S0vlrEgOoEbXp+Xer+SG3mwYCEfkvO7QC8nq9ND+qCwbi1RwufW1B9PuxZGBnBeda2MCnrGB5M3WWGfBnTdHiaoCI3P+gmaf+oFEdMCC5bxCfg9FVYgM6euLxhC+mnbtKxYEnHT8lTeM6btLyC+s24cajX4+UMo91ze4+vzCbx2h59v02BbdyNQWgz+43KJQoLcJIC4Y9xEZ/I6J7ttWyKfzNUmWuJgHx5imVUNv2bpFquq02X7g2uHgKIrcC/R2fh5iqfFDFUBeMXP6qkY+O/HjXFKmy6ZfhswNbUKTZIWHRc0q8YVEZKmkRacpIsOagvQrw++Yk7t3QilZ0z7KObqQgdLnn2IotkGVjHPJmXTfprA0+BDIqs0zPxH82soPZqWLc4w0CcOw3yeIxUDYkvjKTDxYk5D6U49Ih18xhy6CU6yagJlg/WFSFlcNr5ILdaG3Rl5tHEENXoLA1OMvjPZWqBrrRajRZM9k54+vcypfnyedx3IXD+MqfXPyplcSTE7w/qn/iiGg8jEUqisxvjf+Hht7yiaoQSKDhpenOADj46NE64HrSV3j9Xz66pDz6Wp2xFr5QQhGfX1VVZr0EIWN9Llw6g9SbOvRbFTzlI5zER8dCQHer9TnkvCJKxWERbxn4kIfm5sCYeqevAf8t58M5RFQQZ9I61Tg5TVTM4G/fclp5h6C7GkYLdbcT0IsWlp2BbQFvOjM06wvVVs+V53UVt6R9O/ax1LyrFGXnmmqXWtmmfKUjSZ4+QutkSfPWVz1AJBgWe5Dn+j5KSQvkZMzDKZN1bmW1cm/D7F2cZApD6v7276SN5NTzmzHoqH2XWLBjVFnjurh0+aZMXpfIaSqw8AAvj24KWviTCJbN+8k/zELHBuKvRqgxKBQH/3GxMfolGxX6Rd9qTZK8ZHDExqkWcbXS+636pn4MTt6VojtUytbwbO+7melU4+iX8aL1qR7c9WTSe1ZyUcmLjcsTp2y4OVM0sVbbyZ6f91C0Ax+eLcn7bYxZDtoWcg3peWNL2r/npuQyTfm86HdF3Gn03CYrth6Dv0RtM1rxB03KCcpU/3r5oiOJ7HLNAfqd81wdD15ORDC2Fv+ZWqIxHtjdYPPElrSswaosL6XVnUewfPcz5FzPVZCIxOr58XFmE91wCge9BW6DOtcXAVQKz0riiDXgAjqn3kzFXP+mKmqzFT2uyoS/U4uOcicuM0yet+meuesdVM357+tTQjA/cCLrOFl/9WVBBVUX9DJNEivefjdtVem0fhrVDl5Xrnrsh0jz8IHVLYbm08/0HtzktaSuB0vejLA7Yw6inw5YjRGsqz6chrcuxIlpMeCRCXymbK5a5cZYPEK/5FObJYXLfMmqBAltER6jFiEDwgRIv5689BEgq5eAzKWbWvjUyQ72Ydg9QCoJrY10dzMe2OCtQeqd+3PfLc19x+FQkqzq63aL23hmbQYMtq8P3K4MxCUftImN/D70rz4uGWPp6n5bVK5z+x+xRzZteyxxW8iTikYDZMQXHJdSt+tJlUBRJk3kkswlqMK3DNifYuyrD+4BKLgyDkJXS080SMkbSLNb29Vih9ALmnXyeDab9dAmQrxuUIpILc2HzcxekVANnD+Sze78pmBzuOFV3j2NRZwmCPR7WGRMhwW7Jx005TkSfrzbUScDTvYnxLjEqh7OffWWsaRTIifUmVNx9Zryo/CcIzEuiprjLjfrJSXhq1keyCesDJBk33Azi0kStx/pWQUM7Rcl59038hIfD6nbezVDO4zwgptLu3MdRBHm4hI6RxN+GFPVKRTlqSF5LoMvdL6jbrSlUGO3e2Hdx1GoW/ALGCniq6MRbvp8vgVuqb9kq+pX0csNu6vbQV0ecmqRoMApaKb7kb5TYWj+YBED6uXR589HN6kQXD93nVhoJfn7uWJzVFpZPpRWL4hOC2BYcfkfy4J99JS6IjVVBYWZVDVAD0wJcnOOz3fgICFfBGj1TATlLTrzyTUMXd+6Izlab+RlSUf9opKCl6dBn9m2qu/Mt35Vse8MI5gvDi5E87U+ZknVB3wQEHyiRuECVqY9sS0y6TslscSGej1k1XJ/5rFj4jly3Vmnu3TvLkC55X1LC/JwHGTneAyF8jVn+ez805mtwfAi/OOtYCU5M5UCqM1K9h99B/paIK2S8XZhd0s8rx9KAhNN5WxrFYEFSvGlveTSAipsqyXm1OV6y83Tg9CWGhkccCNRFPHvDbLIp5c557sx1sL9DfnUuKnHMF+Q3VTjFjQ1sq1bB/kQZ4PHmEEc4MUhMa8Sj4Tx7P779cATg+u7+LrfYx8L+oXCaYy6C1f+AWRvy908zrrepZBHfXu4+/5viIumJzoawYSSJOpfLk8700vvMRB5sVlkQjC5Eut6NlY9SrE7Bnx3M7vs0ngUKUbFjTs+Tit85gCRPH1jXyHh7Lu2yPExHL8uzW2thiJ/oKclK0+ogiiEmSPzgJRiXrlhGfyijaRRgefndfbh3oZSXSTxpXyoTrtvZtTBOHBDCVv2+mn+PnbLnVEv4kemsV7iEYjMttsldM8O4QtGl+LaSXnHw56zFwMJDfSyqA5huOkW1Ebr0Qy8Ql4ExaD/bB3GWb5jE+IarxXIvsPtUXtHnN36LULsoiGx4x72JQILVe4C2x8S+J0qzFfDSVb6KZ0P1diK1kGGZD+jN+30gL8drDO1bQJz4vSZzSo1WpRF06oxGDX+zh3aA7LT7sbNL3oIzoydQcGtlXPU+Hkx17Om0br3PzCGldCNFT8fHj+EHc6ox7e+RVPJY65pl4K0UxXZhxPdWEdzpi7/Zia3mlexCrcy9Rxl+08DsnAqaY4MGWeXbLtbjDo+clsAgueXfvIDbGGpCCraeSQYmOwpMpg1exlj0x+wiqv16L2V1eqX1s6tXqZZrfaDfkeRHpko1GZa4mxZJtnmIPY3Od/94rQa/NEY225ZfezQNIv3g8MwUQwV9nHY48U4u7+8zOI2Roy28dWyeLLYY+LU2gasZ2M/zvfOWwMOnl52lh/MnsMLuNgs4bDE5pdHjII9rqdW6STh84HBwbOKYvfleOzaUwaEm5fUAib8MBEOAHNQWl1Ivs3XEO9qQ3sjuMDfr5FXuG0G9Y1cn4Vw9FZUb/4pL1m2zDQkL6ft118i+4xQbTNpROh+JrnipW6FE3u5L1Ah46FcSW8o4RpKuOrbxn0MzIL6WP5NRgqN3dQloRJm5rhRcdzvd8Yo5QchrOydnNcrLhma/4qzPFKx0cgRCUymyTgO7rxXZ34kjLNHDG+KRE9v9wvwYXzu92rDRUL+plSc7Qr3tTxj0f2glpXoiVuUnzCaq1y9+f1HtzIxzENTiy/in1IdDlw4VLmFZsiY0nKHn1NoWK0egyilkLETK9uXH0rWEH1FDFeQwcu3b+Ni2I1evXkrKj15GzBX3741FpnfzPNEKsR1CysRFnbPV4iPolBJ3rTWo5X/zy46JbbJS9yvW8hhy5w1Sb5+IcCkzFVyGDJ9pyuSTMDmspa4R7eKFw1r7wNM3jwK9eCKdVPmXkISSksFd/61yFkObQb41mH9t0WXFYLlVPjGSQ19r00qvUqqZV15JITcWJ9UCZpf4J4vA1N1eRRkbpc9OqpELC3oWuZtvJdE5ZU8j74i67buyjK0s/BM6ydUQ0Z1/X5Z9zx4uj6FMw4Vs0XYttwFLVqF5nvxD6lteGKLDzKw+LjLSRLuu5Ib4oHkl8aMDefZuKLZ0q8dX8Omd/2DIWDNeR5k0x6AYJjlO+x3N9963Wfzg+V3o6d9OOV12fvpMrV4e0JogEOIenzjWHzl6qlai4OR6SAWX7O1DNg0LQAh3R3uF3dtATVhRGN74ExAaw9S/OrtjEqqeXrZs0zlQKe8YaBX/p693p+FaERGwKm6EZSTVMOvyNc080iqmLMmu4UzWRRqDPu2+crVjYd0tymScotjKpaPg/RR+O9BLw4n2khcMYdNdeN0nAuMeXcCQvShz342goCNHVMlYu/TorTiKLEU1miFE+RmSKQxkbKCIYkrqxNsVBiXaW/k8LO6AlvHFJQcYn+jL/lQQIjCfNZTsXa5eqWWpycq6zMmXj5vmIR3CvOlFr5QmJv8VPVGfAtq+PUtpJfmk3jQKP05y1VewQZfRWmVIlH1LbEYxSgFwRBhCg0QymMymLLqLqEv+/ctlyWzte3bUvs5ww7caY9Xa7PKWpqmN2E5sPc6w1ux0D+tdS0HyMFA1v0ysWpBOV7zI6aHlPos7Qmxob3gXe/6xubTHvr462wQ2a/MbqMDdCpdJzEaqs8YgyNvaG1vm6IFd+Prhk/C363qdbklYNbE2q5/AKLYQG9BG+JWd5ZOlTwo0SEPvk9devRSFXXT5mkcvIMzE+2ZXUhnMQfZYPtY6IOwFBjxDpNlrMENBhCY+GLJZtvkxBTf5clG/4AMJIXdYVNC7MqOPs+eL2abqfuLudiRqd7+NA/+TOaYuWHE8lxN9t9K+zQeecf2i+RbTIaj9O23K5ucMpFPH2XGWBnqSvnKZ5YjoH27j3sgl2+QXT3K5ZfM26eX3Ue4hpylCN2wLNZd0FiKmfZHdqRvUssFdZA7dADaiWjjgf3STRSqTLP/fVeTmWxVxs/e/3CMyPTVMwsGBMMj7zmOxFonk36bVmRr4/IxfsyhmgZbDY18EuSV5j8WJducyVWS7wi5Zzhj7ikBm19U5FZfhvqOBF+/7JJj+tH2sW9F3PIgCsXIfOY/la3QuvoAtj3jpZcOIn0M47pxZx8bXmf60G9VUOlsqegtXIa+lX9Am/BLR6cO24W+2E9fnTzFGtd4HU1bznklfWtglSgGxr7rmOJk6gzA/VNUR+ipcyJ5rXNvNV0s7L6b3HBUrQ874EfrSjbqjD3E9kifkfZsDVTApBnWUj3ynbPWfvUyeE0oSkM/4Ba4eK3WEL8ogMNul4+8gogSRZOgPODs+QtBzHrZottSd5Qi/PmhKj5bKHnI4b+HrmoeiJFBEGvgXqxrQnDtrfTUFKDdrj5JpJP7HP3gfBcXxRVltTHNhd8QY3CEtVO+/rAAGeaToZ3fgqbRIYT3W+9W03j2dvvy8zExk/2eify+tJ5v5zVg4MXgJ3PBxBtPK9kkCgDUMoOaUnmll/t133qt1oUen7Mnek7dWtje5pDWDD4LMa8cjwG32a6Y1QxM7fbm7IL9dCW5jlOjt8u6EzDNoKMMNBluGpvSOY2N2YnsC/YB2/3xLgBFf3jDiTa480HHggbrj9uJVjarNjvPDZlmDBWqmlP5IjWjVNjimkw9xb5RN1GCmBTV8TYbZP6+Xjly5BHiXSL10hrv5XF3Wu2RJK5e93hjSItO8dI9qW2jtWITCg9ZvxCoSFmm9/UudN3pzHb7TdvPeuUsqc+SvQQmdz4rjSVlE0i3bC1IQ06/X4UkDbhs+x+K1Ck8mnsc9q3s09WXZPuGkBoTfoHw6PzIJzL/MTESWGpQ9b+vPOPKpC3mUgtReWywvQH/gpRehLcfPB7zb6BX9ceOwUhty9FVU1+JTrmFqdPIW8+TtzfshMtFJgoHham4g9yfd+g65zsoWdTW9IXxu1cNKWpxKDaRz1xWXpGzTS9ILuvhsNeuvvqS3MrBuEioeRFqlbODoOQV40+pYEpwesXS+QVGu8fBcYLj/ek0xAmmH8fXvZcByuRORgpa8xxsO+RepCUKT/krVtxNxW71/WgDP1GdI7rwyu7vjajKfOLUCiGy+DwXwIJP6Vl7WvOy0i5sEoYO9tsa7a9knr89nnoMWgDuH5kpKD2NeB9S4sJXuBUoTwsZpCs32BQdnAf25H8HulDbmKyTqA4agz9TJv675kX4+8MshtxlS5vLPYo7y+tZpOQqSmRscU/YnYGfNcDKFj0hj1T8ZwVetTtu5/8wJyhyz9oJ+7zoukNLf85rf6oWImLHcHREmMTXO0dOrfUcI7243E6NcxoNbSbwseyqhmtTYp18ySrq94yBJxxjSwI7cA338uZVBLH59BiKmImAhXHWFRr6XapnqnMjv2apO2UNhA7kplXOiHb03rERtc36VrhqZYoY211XjeeQwttF3BsVlJodE5Y4pqvNUBitdJHneKkiYR4B95zYL8y02pSJJmUR/xVeYltih2vhwqs9+ue/X3K3zZtgdUwDz96eDDdELRJIFMKsk7z6YoPRzbMDIhlNkmsH4iOUJbBM5zDF1LFtqD9GLG3/FvqTmzIyPoWaUjqa4EomypPIOlMvQW9/zwJxgm/4aJf/88hz22ldEfk0YW8yAudtaJhVsW3r0Twwu4M89NvvFkrTp2IYkZI3GfF1h1cXuQ3Vy6TvHJGdx/Azk9v84A+42yWScRSR1YWTtiiLw/QnYxG2i252QGYnfl5BESGBeb2anyt0yeKyRcLcSz56tpW2C3Lf5Iwd6qPzdcrSfFuzrzWoXE+6U4t3WK5lpSmnOqM1P5wkTzk7hovAG0E3uHCO9WfJrsHe4ghqeicqnigGFXz6uZQpw1AxDyri5xIMVp9+zYd68Ndmm5EnfnyqoRhl4kYFUrY4pK0PftvxvVqzCOt1mU5fUHRqKvwrlrE+JJM+p653vRap32Dg7aVbSu7YuM+DLQllho2BkCcN1rZ1T4rSUxc0lakFbEWHay8x9QvXyI/iokM9l5c1kFV/rkN96vQQCxOFwCikJ/FCPgMb/Q+Jl1dgJJtLFSdk+LbinG+/o5O7FiFbIkyc3gvae/yDVnt5PSo4gnf/KSKjnAXWSXNkem28RBnjdIQoaLmu2+WnwblXm9mMRAiWP7kY5TQbd7dDNpFdrbaoNk6GD2sCs4deLE44O9Q4OY9FUGNALoBfaeFYojCksYM/SF+I4FC+pbnkjrWW0ekoa/rDQBtugZuuvlaeuaFMZfa0Lx7Y22hEi6H/o1yShm6vW/v92WtKCvI9tSxK5blG8UZ4cujc5Gt3Ki7+uxNxv125pS1ci9fJbxwNV7iNtOpDV4z5rCTzKO8DQGl0RvoO1eCT+ZIlYLJWq1R9z6kt/ajPA6T/4yIrFrpGCNspDoRNiYoKWu2mW6dKIUPfXfRjlVWhsh8OAIJGF5xYyaoPqp4cf/uwPPgNlymL+uhsHor07jaud8k+3AnH1L2496tYEx3tvU9ylfVkaSgmWUpqXOiRcid4UwlfoMyelwBpOnN9zhJdDOqS52yMZhKIvrCIPW8ndebUnOoj4SqcPIXQh0ulDs9NC37SdQzZDUaF3hqoJMvZqtvoKEIR75EC7OxfwlgV3pcndWweCAF103+myeaU/LnRVz68Kd/y/Uxv+MeRjB5pY0Vq9jVG/DwA/dM+9s++ryWuToccbksmyYlIvRTLdTMsVU2+cQpWb6aVl0gJqP8HbCyOX3//V5lIzUMCw1khj0BuQqBIEOs8g7bfRBi0VK2ngl4M1r9pjLFCnP/tLgvQ89KfjNm9XDOtOXUeHixtqkNserVqDwShTrnSTB9IQpD2uWMCEHp00JrvB6+zKCmRBV8IF0VxVwk4AMKGRN33I1MZVndh4bZvQ2lyMBc8jabvjIZd3ZG6flJ8TrLvHY5fiv1bX26Fr1C0tlZTtWU9MrlLmGGcgUKSw0GKB/jdrJH5LBUf0Czdz88RJq78VaMJ7oI+9FzZCxU46WFnI/l/P162GVGOIYuF01mrUuqHOGr+SKlxSxJ8fjBxDb/r53MCjJhaikNVNlyQeC7Nl7RKbBzQ7Y8/IN6jBqJ/K/6EBx/fLE7xjscr7AIayk5x8YZZl6uW29M0tvSzbck9/phARGoeGWbGX35SXW4HpySSzXW9mNxfVjafenc0tCFVF74Y5RYbgXevKc+Qw8LRg8UUyAknDzeGVcBLcCoRCIt+JHgQDgGo3myErtv/Ka78TmWU+ko4rY8+24fVOIXaZFuo3jCWIdvepaKCXMpPj/7DSpq/UneRV+aJB6i9n5hZO5v6E3T/NDeJkS1w3rr4qhE4DkMz2xvWsZkTUXCIRgkD9jhDl+ghVG2E7jIgBKYbJ/eZe7RDYJUDSaoyT51WlrpTCu0KQsOHUl75liOoDNR3rFjQc3XwAMBb+Q79QEWBGTtn+KTDjhGSQNrXWEmVgRckLj2uPAJTuM5AxZXCw7ONy4MtXJkU4gtuShsmf2B7y5ZP5UZhUnMdiS64m7vj6Gj43XrTt4Z5CPjlaoLPD/q+r68V77dNqldjGtriVaEesJViMIgXRtmR4Uugu/oeYzhJWY77RVxJjOKe6sjL4MwAbNjxMUuaOxn9iBGssVViubYqcAbvvd7pmrLC3WgPPUvVsa4nsj+ZVZ2Rz0nb91f2N383In7s2RWtAUCjdd3qRu7q9ZcQLHcUatitt/7zwA6P0Z33V0SYuFI0X41m2LOyvhFbV9M/BaXaWzAYgl+CVJzwe7xIfp90lRWOhYUCFWh1vaXOQVWUVPJDn2T8FzMnIrqHx624hTcEvfVntdgVtNMZ5L/cUiy2LfBu2NWR/Bew04iNvsNEIi9QV40ZK7SEYoyVtG3AqRUjhZPl3Blg/u2NBLDe9YBVtgdyJmom+H8Pl6MKLXEwgrsKCnBYVIsZBzVmLlnU/5m1WKytgxNVHj8t5ukUp/YzZqmh+WPtTVGOZwd17XX7LMYHiFbuowsgE2x7bhoXxydW1LQC9xZTV6kFBE1pQRJWYxQM2qAT5IVKWnZosym79uFhg8D5adxVqsefSpgMQQ0jJeRpqI65COnkTUVKC9WeT4J4f3GKWIL0+0w8rzWf+ekXvDGmIsIKdq32+CLrqPsSWKVkFxp1ahIRwMuQh214vKxQiEtQau7xvmxjORy6SvhH6C0ntDvpiA2jTdRbgDqxKigmBmcvvcIZPYziik5rEz+h9R1fWyp+jDygp9XelIAvPwGJB/hCh1NNdyL7dUlrHXt8OwRw9x284WZsSLWUy9fYzmkqN1punsSWPZhgkgha2ew4Oz3dENz9lL/TWu/D+NpSQWKkzKcbWYXFyil/NxdQexml+0Hmp9CW6rPOdX9lMcGTIY/9lbZ03FQ5UuNNyX4BZEM28ftyumxeJEm4BZOQ3hd71En+RtbEVewk0FD+I2FCyRNr4dTHtaa8RuEiT83S2DxNqzq+1vo9b9WfEXCPWnMJkCw8JRlz15AJxuxyEGXit1FszEBCTXd7YbaOVrbdnrNh5NXDuEjl7S8pvXVywKZiw/Q/BDTG1uFDuWU0VQQQ7Ycw5dqYdIPMq/IWgRVPCxUhlAH0bUmdJTAKG41QhK37Mayg9tLsVe3Q4bdHvjW+UCIw/4uuYDgVM2hLJcIf8p1817/y9HP5K9PRUSLLpn5G8/rtFX2Iik2iIvahyRlUFYDmRbixDYD6KjitPOJONnl/CPDqxi5S+kjFI8dUzzwAjcN9cmgXamYRchxh3RsPLOitD/pM7UjSjXPiUxO2dU+rFvqE5Ug0q+5l76Uea8a9EPklIv9XOhwporaUhBd8Sho3rwwZ5v06kboSq+ZuMB/xrJYd1TgeLE+48MR9PxC8rod02NqXXpzY7vEc5usjCWVWv91b6bbAguGhbrlRDKBC/73fqm8up3JNZyI3OqdOV65H5v2DOgkuNorFeFKY05DGcrtb7E9Ip1lLEobZl8HszH2xPFQTA2Z3JrqidOTr2GGNMuwUY6vPrvHMttOp0mjjE8pW5vnSXn4Ap4q00Tw+EbdEyYqE0fJAhd8tQq7BGA9N1vj/7JuXo4oxXlIfSMFrfmaXVyvvOggNCauXfpMExK/s6aLQPiKvodjoYjjBY75eNVDlZyE1qhACJzTOrtlHkdqpbaYeZTBGvG90Iept8t0OuRbzx4nbd3uBuU3428v5NlFQ7vLDtARbssR3jjHHgfg43BmqL5YjUdSfs0zj6XLjR6hc6Kj7ln9acMmsCrdMtkktgZuQ2xcx7olYIuFAfJGZSfL5rNzgomEcrlyLQEfAwWN2Fdcc7vriJ1qTnYFQzV43Tc6t1PlhBMWetFDfJeldcUesHcTJGVgxlwp+lT2G3suuVrrZTChtIDSuuqZQZqItp6gosnf4tsZbezRZtuvlQz3qmxS5INPmJtoqpXst9ClyoExQhNfuQSVISu3TBzuBe/3qy1FsOgS/Vz6kUvuJgLzepzwGS4zSRMyG/lrh23xl4+hunjdvs99U/Dt3fhj2TB1v39dfy83lBpp8TxamKHNGv0R5b0B7ne6z9tJy8x6PTPGYqrGbcyXEpF+2RJcG2eacdfmLcIIsJ9NDe3yLvMvl9hJd9Bvv56Ybfv3BR1x+IpfndFL6DGi+TuiaYIll7qkJbSZRqJtdCf4CRd/bR+10fPnUZsJkQyBuDevbMTitAtJz9oNTbGfH9Dn3bfp4+/Zia6eu7fJ14DlC6Lb0gl0hqd6+E8wXxjjeB/pZMfx5khXonntM0EXTPTFR23x39U1l2KBhtRrLa+nzWT72AceU43hfgLRxx+RYn5tKA4mTHxBEBzZ14vRhHFI0Q0zLMpskeeLZUvGVDrAYmVrrIML/fTACxWSHGBNMLtkk/MEwW18lXLxQdPPj8SoNKGUqnC7VeG8U97CBGDOrq1MhCjHtb9eMV9gGUkP4mD6pjUjm6uQDmSbMmrs5MvHTGWV9YCW/N3ZatFIp9EItEL0ZJSB1vgJwbkSTX0fwYiEduj0QtcYgq7ToBFnG+vyOPvXt1QIIyMVIug/6W+CBmwmWjUQXWc7i3pFxvCi04P98+2m6oJqRn1c5wOLlT/2Z+1byBXJXxQnQIRfmRi1fpZ6+Iyb6qB+mXmo6Up54l2MTR4xXWpimhwMKNU2lujfODCszZ2U/N3EmCARBWiFH0Duj5SfgaeNZxj5r3p3zhYphJdVYhsHGz7Vfa8RdFGbOxwaVESRsFFiJlO4oz+etREg7/d4RKssQs4ybkpFHiEEf5F8tKGJCfGdkMRUbJJNoKKFhIcaSjKpUce/KFoR7dn5tI9g/GV+kz4ZajV7w8GOUXgn3Q7qs6pLsj+ZWj0MRaag3NslBNAQLFoaMwm3geccTKP9rdwD2dojVuMjU/bDCr5jZHh3rVxwcq8rpbS+w9xkOuJffN0yJjSnmMNZQMqeTGWsa2AUM18awdUj8n48Quw7mkvzr6rEIqSyjsTMw7TrMv13Zegek4Hkbxv2JxBo0Mo8fYnCGb6RwpUpBr4+GNfSz5WeiQwlN5pDiiNNhLsrOpTsHtYolvo2Nk58lbAWSGtPSCkajrZPOZX5YFFCBeO9MuUOHeufA3zAiOiIWV92O9iZbFyZd1HnxFSXfpqrDNqbdugb8MBesxpxibPOWo/euQRpG5sBB9Am9OMtpBvP5yaMZJ63c2f2Rq5+46yYmFYZmIhXOvHKY29DswXdkTsp+AUd93sFAK/5oCyxCsQBPGQ5DbgHGAYR1LPCFCLuzu/oOPrTYj2o4eNoz49kiF4cvpUKL7mSdjjg6ZgVYN0W7aQh5TxKiOE92Kl+/ZnBKzwvUfEeEvc4MnQaZxbyq12CQ/caR2LoCsoJsM6nshpXFnxr+26QKMfZatDBQRY3yTijvCAlO2chiVfp1e08ETX4eHIECwd792CCDPH3mp0lcfQWarw4DglqyCxFdH4pQvurbTgTV/E9qUPgxrfrNkQswTLxOEkkKxFAM0VzQMVZilh+MeoejTG0V+9oqx07FQ84T7GlCa0m4rk3EeVqxe2e/lib5S7GoOdCvm9Vw22JP0lzxuUlG1Cp3bLKwTiQ+GGC8L02WoeeQP+F6p02OQn9kICPYksherMaQUGGIzQqCp9kdyB9NVQO7ZY0IdEkqpHs0bb86BsxW5n98nFkDn8jFqW+HVtEFaE+kjtCnuO58AinIUaSA0uGNl/Bs7ZQvWJNBXLlaQczZgOurpAXRreIakt87EmkFdjrOVSY5YGfCoTduhbIVFTdQzFjuhQRztAYSGLtXvMWt1gYMpC5HjWe8liZvDow5UL93uqTJk99p3RcMhUsqtRMfSYGYl/adRmtRUr1+q4YPjwfoh+7RCIUDy+DtratazB6VrCEfgXuAfNksFeXC8VN5wRhzKHDyULaFwzwwIYEdbk+C3TKlECdD2nu9FfgjHUeecopCyyXkxd7pThZekgipO4UJJYuwlvuAyfqecvJIUltQn2l8qdfmF5mIY1TENLXZ529s1ZpPMQ1jQ77+d7bG2fjdUN05FxdA6rMi1WRH8irktcw12qpWBVqdZrvVi42eBXJXFl1fCof1SfKKC1PnhvWqaJHqz1neTnl3+L2Iiuo9MNeSA9WpY7kY2WrF/3BlYmFfZcob5VJOr5nx7TTZ+/2WMcLST2L7eQtGXJh0qs3EQFo3HuCSnkgNntNNFnZPu2olYYiwPf1FEX3gJ0H8N70s91097bETpMwPFER5nq2XxWPaBfMVmyPGvzeVAd0MVw4catbjB/QswLeYL6Ng2o/k+UjaDVyyvf6XaoX2UkBNrk5zLWPdPJh4StxGGg9XM+17MQXiHkX8sHqQaPKjM/3IdXXXRfJ7iYbT5Rxajlg5gPyZLKrtSDhqNoCTRR0l4fggU218hCM81wvh5hsxUVA0rkiCkWYNf1FMs97cjp8xrhLv5mii95YBttfJ+/XqmbZ9xyU80XpiVkNDi+Y1LNrsQ/dp/mplH61Q2tKUMW0qakhFe3Lzwb1akyYP1f2K0EHGTTaAuFOA9iSQkQFVOniC/wuQf6CXNG555KNVJYl+v7cC7xCcu1I3TqExL9VtbVl9j9tiyN4Yfv+wojiFUGepvX5QmeqMDWejtTw6/lcTf9a1IBCCO32SZtc2CmcSd+26qb89OrnQzmeZWxQ/rvDX+T+lfKXkiGVMMV5nZFoHNa1ePxdgJxE44thr49cjV6/YfjHn7MJLv20kivXYo5FpcqGEGLEhdHS/D+Ou6DpBXaDpIQ1ZV1OaktLAxQPSLuStHPr1xJLihVb/Bma/Uka30ZwhPaEOGdM4O+M5SS5MGHmbUv/jJiRitxuJZJPfTy3UrV+ZWRQ8ql2mmlNMdVEZSiwCRF298GXv0jVKHZvIeOdLBA4TCrs2DKUXJelz501dD6HPHS/Pbuzlq6X/a5JvSrz/wDGrq/WCmVuZHN0cmVhbQplbmRvYmoKCjI4IDAgb2JqCjw8L1R5cGUvRm9udERlc2NyaXB0b3IvRm9udE5hbWUvS1NSSU1VK0NNUjEwL0ZsYWdzIDQvRm9udEJCb3hbLTQwIC0yNTAgMTAwOSA3NTBdL0FzY2VudCA2OTQvQ2FwSGVpZ2h0IDY4My9EZXNjZW50IC0xOTQvSXRhbGljQW5nbGUgMC9TdGVtViA2OS9YSGVpZ2h0IDQzMS9DaGFyU2V0KC9EL0kvTy9QL2MvZy9pL20vbi9vL3MvdC91KS9Gb250RmlsZSAyNyAwIFI+PgplbmRvYmoKCjI5IDAgb2JqCjw8L0xlbmd0aDEgMTQwNC9MZW5ndGgyIDY1MjIvTGVuZ3RoMyAwL0xlbmd0aCA3NDgzL0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42o14BVRU7do2DSKNgPSAdA9Id4N0g0gOAwwMM8AM3R3SJSUI0t0dSkqXlChISUkICIgo36jve855z/+v9X1r1tqzn/u+7nqe69oza7My6RrwytvBbcEqcBiSF8gnIAFQ1DIwAwoABASE+AQEBPFZWQ0hSCj4bzs+qzHYHQGBwyT+A6HoDrZBomxKNkgUUAsOAzzygAKAQgCgiARQVEJAACAoICD+NxDuLgFQsvGE2AG0+ACP4DAwAp9VEe7q4w5xcESi6vx9C+AAcQKA4uKiPL/DAfIuYHcIyAYG0LJBOoJdUBVBNlCAARwEASN9/pGCQ8oRiXSV4Of38vLis3FB8MHdHWQ4eQBeEKQjQB+MALt7gu0Av0YGaNu4gP8ajQ+fFWDoCEH8cRjA7ZFeNu5gAMoAhYDAMAQqxANmB3YHoKoDDNQ1ATquYNgfsOYfAA/gr80BAPmA/0r3V/SvRBDY72AbEAju4moD84HAHAD2ECgYoKOiyYf0RvIAbGB2v4A2UAQcFW/jaQOB2tiiAL9btwGoyOsBbFAT/jUfAuQOcUUi+BAQ6K8Z+X+lQW2zMsxOEe7iAoYhEfi/+lOCuINBqH334f/rcJ1hcC+Y398rewjMzv7XGHYervxGMIibB1hd6S8MyoT/b5sDGAkQFhAXEREGAsBuALA3yJH/VwFDH1fwb+dvM2qGAD9XuCvAHjUGOABiD0Z94fshbDzBAKS7BzjA7z8d/1zhA4EAOwgICbAFO0Bg+P/OjjKD7f+sUefvDvEGmAug6AcECPz6/OvOAsUwOzgM6vNv+O8j5tdRfKSsaMj918j/cioowL0BfryC4gBecREBABAIFAGIigoDAv6ZR9cG8lcf/xGrDrOHA8T/tIvap79b9vyLAxx/CYQT8M9c2nAUc8EAjn8T/YmAsAAIdQH+n+n+O+T/x/JfWf5Xov93RyoeUOhvP8cfwP/jt3GBQH3+QqCY64FEqUALjtIC7L+hJuA/0tUC20E8XP7bq460QalBHuaAYjQv8CGfwMM/dghCBeINttOFIEGOf1jzx270S29QCAysC0dAfj1hUFECAv/lQ4kM5Ix6iiBQ1PztAqM09M+6yjAQ3O6X2ASFRQA27u42Pvios0athAF+QJQq7cDev8kM4OeDwZGoEABqxgCAPdwd/9fBigAB/Or27jYgpIf7L88fowCAX/8/jf8oCfJwd0fp7zc3UP38vf4tdjDYGwzCX16AgyTDnRrCu67q5Gm9eLcncNbWe2KSzAajhZFsiy/8HDVxs1Vn3RSs7arvjz3TXSqPnFnwp+U6upr0fvI6N2Q1Qy0fiaY8uKlwwlsw8u3stQOYwQ5O4zAl+ixmk/Q4WY+e2Nocy5w91WThJkK0T2in5lPRjx7EzmPxA4ALoOSChCmDFhkvn9dzgPHUjIllHTlq9oQkgczdPNPDUN1o6gfGU0jCpUJXHPU3n03zhKzRDx/e5A4NPhM6LdTorxWpjiSnvuf7iClvLGWYmiI591ErAo1NQfhCsTw9iZm62CWSbRXTWnT1+1zhUGfysJBHs4O2YshdncDxFo9GuPCCdF7f6imd1VaO4Td+wvttKTGOPHXPWBRYa+3QLkYzj2uFoPn9WJQMAJzGnpVbrTl4admlmSbGu5Y43MAwIctP0/evrOOzk4GCFunSULHhjy8VRHShDK5j9ibvbqTSAeQ0rOS66pjaTE7rHmMPePi+vhyEVJoypsLOd9vedI32RZ3AWY7oKWZDkky7sw8G9pNb1YUv3pIacymLIOs1FuG9VpyJeYlzQfr5eVi6nT2qko/lxJemmRONhYgLDEkXDTV30DK175hJRMgHz5EQkTsfldPXvKsSGX8hHdomnS4WLBC4Mn2CrqT3OZGkfvOuXt83bMskW/cTfkE8S438nseO1qXa7I+QD5MgLQdJN7sKZrMhJ6ILq/kKP42CrMjLAp/k28d/T/i6c958nG8q3xj9GBqT1jsbtGn1cpy++/FQAl3mq+nP/d3s6Tveas3XF1gn5LajqhLDzOHF0MqWROEOxQ9DFDFG5kM2ml3nbXjufeP2LeffCIDml5IPt0JcLXebtY9dv1e4KSgByIjZlyLEhTartYLZxP2wCKKNg5QIv4qREdpMN4cKLsD40BztW/C3oLIa7ygLD8xZnrbFkjZeq7qeXPTTfSDvqKfjfzTsC7rELA5VEfvuqSv0/iO/qY7IGx95eG/9UeDBjoWJG61SqFY7TrTZw7XSs8g20kKzxPnxQlNd5RPNH4KbVoLtd6vby+Fq6X74QCrvWep7I/vsvV0e1P6dcMKri2sTbUZ6/WzltNOSw6z2xDmM8+9saZuZUEaVW8onQZqkGPqOwBoGlTzbLyXVUwHcUVBCxSsLQEnxSh8HXjidp/08PIzbfup+rtbBIWNjwCVUlg7EtRrNfFRtGaRf9cmiwiVyi+QtpDRco0JnZDaBSf1uXMNcw/ed+1/1SX9aIedMJLN6x79kDnvIcTyoQHKNl5LP3TV6kevnv/n1q16AjdC2ShkUM73nTMwbq4oWt2gWmaJmIl/WV70h2cj0znh1+iehYsfovTBjeOOzFc+OvM8psn2NaYySabn10mPvZXjChzZLK3ueMFd+a0nPpprRP8T21FdMXyrGytVTcsSnJpqTs+LJG6YcyyXudiajjLe1h+7Iq1/pWmJUNGZ5LWeTl9ipj6j5OnOALoXCvL8nMcSOhHw2GDXSVW+099OYLJ9A0EQQHE2Y1XYVHPJ/9nydOGVe0P59iaFNk1WnQO4gSy0sMpVMalWXPeHRy7GVIM/keZ4hliZmR6NSLdnzxgPZ9VRXroVwUU+iRSrpFV0gImBTlThVrkg7RdjyRCg9xnC7Ucy+IxJA46NXEhXWrsMZ3kRYJSA692mWlSjiTrgqQdF1ir7vS/KzM/s9v6hpS1Ilx/fnUluFfllZGwrpY/sLAdevhpbzEIL27IpnPqsbdVbDNXM1chYgBrHUehiNqBt7GPUndI3om4fOOtJUhz8r5RaMACll76E8H3Thyk9XqT45Y7zN4iISxXPDNH/HhPP58rp1cml37gm8M9RykaWVLW777NSCVAyanrjVimhnCw9/zZ+0sWHJmc1kuD0QbEN4hrFedbQ83bhOGdJtwFwgmbibfuNhiWYQgy8vfJoloiBNulLoCVvJMtzEq85KrJ/qYo6YuSwnt+DHmeANCvCLnhkakcufy+B+SpcNIUL/UQ6ymXSFjaxsNs19nPerINQuD0U7dmRFfKvYO8kDoLUvrmsXUYZubVcZv9uaHA7rtSnPtjjflZ3nIcA4PLVFFkBTMx1JRJJvdaI9+6xKcfT3xhvFkwwAlpi6h0x6rpd3XifRXra7i1x2vZYsbnycsds7tOW5xCDuTOBDmkDZrJbi4ypJozSyuAlIdaI+BOZOS5zoh1tUfcix9VVVlGVmDfUHfyj2Ytqtz5gQiR8r1tfdZfnU2i5x2/2Wc6Q7QfnB0m6xHXtV/3YvLW97C8EbQTR+2kEA65eEgKjlXtq4pfdUBC5jEbWPb2gGCjWJxKZenS/Hg8bOmqfg95YxqmJzNNWK33ZovD8/a8njzPyK65bHvbgCMvNJH5zoLM7PQccnt9Iaj/thzSvXiCtAZozzg5b9PHeqfvqiHGlQNlJEbCf7od6UAoucI8wsLGLg0lnbpNns1aHKktSuQkBjxp5z40o/7pr+Ice7+SlLwSVWEgEM+Zsfn13CO9HiJon3oP4uYfC5N5/LH1LrbXdQVIcX+Dwn909NfOfJSHbMHZhUlM8wkKbcDEp427CMmaI1dLDIX31BT3mAXIrAvFEDZ0cu6yo27XlqH+0wq4oEEJR8JjzCzc+zaAYWyFMlvYpL4/bfqePYajee/7IWq1pWBRUN1bCnNbnnu+qeb3Uo/V2V2Y+94uFYpKkWoISj935/en3kMbUv//vGlmXfWc3+x+H+7TFK6AxDD3mJv60LKB+6tsTSPDa4bjuTH16PqsKLbnyzTr3UJr+V1v66GwntqZ9U+1FgjmYY4o2Y1Cqkj9CN4Wp6AQaXJ5bYl/SgeTm/i7rPcKUG5BTFK0uEMMdP9x+HsgjQL/0MaarsN5aF9JKRxfie7YgNDfr3FsvY3Tr5GGbHh/Q3G7sMf3q2Tu1WOu6gOEqdfJZ8vPSqIxtd3Be7c9swWnE1iH8AGdiRPJgZiV0Kp+c6fCYeN+Q+Na/+tADuVGt0qHFB7u1U0MF3hwdn4orbFli30PCFoF89B6qkeaz3GFMo5LJFlxcGP+867WaXmjbrXsMB834G8l8RxeWLhsRxKQs/eGYX9aUInpDhZ6FYIcPyE1Pljq8D03Q010t4B9octlPsW17t7yGHE8UT1fBTscRBDS89hw/xrrlcQEtyolC+hdjo55N9B/UEmsYxgedvbm+uXAjvQW0mCS1Y733mYy6xTuost6rRa4XQBdFsub66GExgGMXFRaRgCPvwmYYlYtLNTtRwfvlEV2hYcIhWcmEH1MgvdK6sHI91+hBUWYhHCxPwpapQraFfZ3SLaU08sCk30dtj9Q2fu/+ooX3JtIimsE8Iqe4jMNDzkg9r7kHMoHnqgyL6MKUHym9DU1xda1W4Ksu+1q9meh6768zZTcJEYXeLSGcx7cXDuGppP5tKfO3ZkRnuypbgmljVpLfHmIin6BdPYbNJcZLkpvej6BSIusM5/U4+xaG/ToNrP8RUow9jxbiF3Xf58dm4PP07zjuwo4upu43zhl1ppP1ZSSuak2tEjw6OT/cslSBlP8xLTiQQUs/ftwn2MX25t2oUde2fg5bxAOebsHH4gf2MUey+m25IwOXNrL/0bVw26v9Mn7COv24/zi4iW/xLKUNCwNZ2Khc+PbeDq3wwTx3Pa2l/p0pBYVLFkVDRnK/zBCnHGbXNz5boSIL49vhVymhpR9rHBAozkPq56x2xGHzMdF5gAkca6l4i3eAX4K0FF9fTo0dR8Ca5uvqNjJBbq5N9+dkgodINPYq9XgUG4/NAlhNx5cIOyiQnafynFrKAyt3nfl7YtVbEwkKXxSpHDnO9jQ+fK2TtbuV8li+rJFvvdmuYOhkjZlx7tTrzsBk3liGqKGn6CFija3//7Z2qM54Fg8F8kfPNLmy6F+5FpebJH157Wn8k6Gqu/x5Pdd4b5H2pynKbTxtevD/FF1DQPnl3PK21jOr9VI/KRFYaqK4+OzlU+n71a3smKnRGrrHuCj4c/h0vnIEYfbEODrnl5afZvoSgtm65fm02dZdneR9eypgyvXFJB38ZlZuEUhKZ3DLPGiuq7V49F3vrTDWfjC3lc5Wr7UFok4a7X1zWPchXMnSMgdRuKh6Ihgo2kLQ5y6tbRHFSaV0RB7UYFH66NctYhjXThMbj4GQlzrOVcVkm0A8ns9+A5NCIN+7fsLWO+EutTQ4WPbvsYZihOawju91fruBOAxFVB7dIFQT6sLt8RkhlGe2FiLsyWfVglOp1vfu6xV6inaPadLyOnSlDhDFYNvHKyaKJDHYmZCrzqMBXdlnpMFha+yoCvdsWRkgf7+dGZWvGIcO8LMa1+7RnZMK5zEfoCr4Re4X2HhB8FqO22UeYqOS10X5lURRM0E2bRHFg98JPOYVitLj/qVfIMvV6FikfC4Xx+o4jDTL3wteZxdmZxeLhQS0F1gnIvq3gupakUxHLJEPudOzsu9Dzi2eujFC92hepep+yYrBs18so+F3P0JvPXtAZprr1qMyIYVn9nJcnTemFHZDrvcW9LXTRSPBj85WUmu/NwwlxOd00h4iOT1E2HeS+/MLORfnDzTTYEB12ipSinY9zPuXHky0XdKHmzBubsj9vrz1MX98ovPJ5wLFZa836zq+ClqSUqUuPIZdfgA2x5t1+br+jUMldNe/+9Fh57dgcOfPOQUeDLl7vJcs1S4P0PZqPoYu5svt2ckIgThILoQqaDKL9ebp5NFYurQA1un6arL3iPElFu5frmdgj7q7d1HXAe04/8lVIaUh6o0ERCHpk+qEq++WG4pOMDldOrGrOC5yfuVaM2aSFnPXzHO3XOcXNd7W0OvCbG8MJ3YY82VpqRy8V17aFtNFaNB8jGr0MdT38kikRXR1TdVe6eU+5eZ9XlxcYPX1Wr/LV6EqXuVNjMjKSu7Jr1qwHLEouK1DJkX6BB7Gjpc3WbJJ0cMYVf03GYabOmxQHta75eiRpPU+x80l+Gk9NoqnmxbqZGr0tMLV5o1Nt2K/NK2xY39JsJpuaiAf/BYtK2dsMNaXlU2MaWddTXJ+ZZ+33dFdZVaQ7Q/uGhxSicC6WLwpUNZZ0HRsDtZvM27DUR632o4MV8U4MKX1XZ+3v7NyRmstIi7sJQbd+iPpVVgYuPGLv+rH+gcU6QP8ODnEo7rugJ2XBpBvags72hTZncI9HokLPg0j2m0491/d7z4M0Vkz8crXmVoVkFxPjy7VOLb5JmFBL3iP1ZEyKIMnENt2QxA5XYEy5E1NqSp7Ip7uuLimbz2RYFA3gu9uKoPyMeWFksVUTliI9Yxr78+6PFOGmV7HB7sFaSBkf6dpIrs0QW0XMnkBLwm7kIK28e30BlL3larAk/eYM/cn55VL+CJ1mCMZBWIFuKpsoEkmMceGh6iup4fDw3dlMPINkqwcn816j5PV7g/SMPs/usZObr4qBjbK9j8I6+VNUmEWM+OoEZHZwMM6532vozYULUDOPzlXOSB+EfEHsrR6GecMfWawvVjCNe92I6HzgC3iaF4w8GAsSJj0pNN4YK2/kriItbq2qfnVDLxrbaIQIza5ZKB/y2dkeHUjFNcyPUxS+UXV32DDCGSARHmdJjHoWx+Zfl9jcG4sXmP5BtWJrSSzv2T5hQS2Oluf2GocTFbI0bHMNQPhlqhD25TDHYtJiUA9j3OR+hM5SMk20CxFf3MuE6pM7+uY9VNOZcG0ppwef8H6yh+4MdAGryZeIXkkGMBKfRDzRCnoOWuCQWAIn1steRERukj/OesigEe0QhVU+uFvUV75DTC4Xl2tYlQaYZ7e5YGYd0vC31tMI+Fj4ZvPUQykyNzWGKOCMLfjHgJg434+F0s4dWxpPBRB3kHIvtyzBiHBJNBtU/Ny0XVdmGuZwfkddZUdCtg+ZtpSEY2CkMwkaInISVHQxL/5YqSMqE+Jscu1cXFjejTFmWsse1nBEX0KZS0zRJ2VU2rCovSKmCbdzWkEsEgmRRMkQZD2gpfmSMYNkN023oxDnVhatP9HewsHLsosT8xu0OI1zaX/OH0V9d+gLSV7nYgJFsR2NJ/VTM4xIHLOMi5+MXnBX8vO9LKYs5QHd56IqsvD7UwNOusTiG6fVzDmvHVIVYp/HTQ4u6x4lnEsqWOol6pSnCn3r5VK4K9QY5gHrxGRpXVMfItq/zbfSwQH/tH6Lz5jJ8mrNOjSAV5xCj3+geFurERycJ7v0enhkf7auGZ2B5LPjFqZFbIntSe+dH3ud+5VW+4JSM1cTGUPcWCSfkXR9FXXmU7n10dSPCn6W68gVsWolq4eu7hEiS5qXPHHCIuef0LTz227O9J9qGatQjAoI305yO6tvC5qIy9hnBJS3AkimrwZazoWQUS2Vtx0FThWRJf3+zKVNn86Pkhbw84dHzCnmNGMd8zESzMgoGjmX4MKizhRrP1MfsAbhqqU8QeOp8p70P0fUIrwPi9XypFQ0SDe3opawJw4dS++2PxaZvh+B5sKzOuNowGvymCyRCHPy0X321rrLUemyrfde2tvPG22gFRIxLFc6wmu6W+Fe/VbTMcoCsUwaq0Ix02PMltsz3xzcfooL1NsrD3FIujJL/xy1By3y5TirIg7nFccOQjZj7+h8+3JgTTaKV+qakunXtlamLkKlmKHxQxGT36vuucs93Mr3owZvWWr0vjPMKGqeF54lt1F6Z3rd+dhTQh+h0raag81GGMgcvqWcKjMR6d8iaY1FPEjg+Z31ivFdraH5IWgBx+I4FIwRy6z6zIjGKX6tEifcJ/YE6ek9L+Fhp5dM6fHYx+peg6Edc2rFS1vundc6kRZL0Frvj+wiXqebIqYNiiS9ShoMOrjUr6Psczgc5Lws7EuMs8b6zPeDAg/igCrf9hgsieWFPKvuDG/o5HjO1tK1CKJ7EuD7Xm8btq1ejwksf7hn++AiB908x9dnKmWeBQsMrFpxnhd+Zqcv/9maYzBCzi9JGtvHRKb3JHpL5jq5dsdH7tPgbbvR+jXe71cK/WqSwyC/jBMpHwVb0XIoE5t3YscJtlx51NvjdDxeuwKslW6Prf0naH0TGJ+YM4Mu2T2ORv0pmGRWhL4LNMVT9Xe9tJyvSbvPOZ/F69eqk9hep7NwLUiiX9bXROz9ZvcAjzFabxDv3EvBYTp5o+uHwY/OvBzmxQpoju3Jha9ke32mus/8E+VF7Ndj+zGu7mXOWgStcjhyfWC2Vy+E0jOh/aMxSIPLTwOs9CGHnLv8rvrDV6vLryqY7ws2e+BnKoNThK+4B5brEKWPT9lp8O7Vt5d+zfy4Yxut10BzflJnACXLdxq8ACRR0/jielKjkawGbwSy8pFr+D7RvlcQG75zs3lJqbyPy7MJNhacJZXWooKTc97jDXkEGjb+WCQxS2O0LDjTJjMCjF58k8pM3Ktn0vEiTOfH15nkh1w6vt87+EBtZ06gtEoztpu190tLU+SJn/elD0TJ0szuZzVdXL052eeRF4aNqq+pxKbz58rejMdmrRNa2CD4mrS5dhoMOxoBM+JJtxMtstKGDLM0H5l3XdYADFUO6C/cK0497T5oeyMHtjgceZRWn+fc67Mq69v1xJ/w+UJHvp5pzb23bCILx7KTDK6soWthy0N7Uyn/XL3f2pm0/uoc5uPlnUN9FDbYJdw7EF8yx/t2BkqOWefz/GfmNcGVARk29eNveykr6cLl9xnHrUsylTO2sNpyrojWQLq8jVMt2GeKJjp1NwWzGI5OItbbaJl5rzvjCyI/UL6ST4ljXjrKNf7KYFI1vkP9wHU4upXHYJ98dNpZooUdRNT1VIjm8UGoSAYwJTV6RMY5xVmygPREwdpL5zP/0/GmV/RP67trcm5A+C2T6j4nDUyBheoiFjcVWcyhi/YL41OHVmA8Y9YGkvUXRMAvNa0HTvilVZJ6r6qvHXO/Y1ws959v1l21+HpNN/UeHA2mgYK276Y51VGlZRUiDIoyXW98pdR3gkZNebIDzp1PLf2/yYBILYu+SeEIs24AuJhZ3/YpkNIKQSxM3pqIF/A9QZNs++K3fRRs4CyDIb9y9KEX/nigr75hYILNYaKideV7kbNGfbKXVqOEWMjoAx4/U3JQqi6ySywiO/L1OImvMmlDdd7tT7LeYaRUZ90LtYpRZz/fwem7HCVMZce8fIffgap9UianMehatxJGdO++ihiX+JzW9qFnLTvV5dLcpbJLb6WgJZadAXQsuc8EGYrfyRDcADJy8s0rstLv4j/HfgXJ6aPI0g1hc0/nogy4f5IoAihEHywXMk95TQa4ULLvfYgzW+uyTYRhh3HSMOncabItJYv2YjaWnSrmQBGTBaNUyEAf0IVnnnrNN5m0/7F0XjRKkwrLraL5SXPv9bRBg8SNvhfqsC43GEGnO2C+t4G18xo5GjOe5+hpMtfMNZYwH3P67LdKJOHIhKifc2Wz4e3XwouZK3BcKk1eQ7EXW4bkCsqrajvF7wzYY/TTQ0LENgIt3RxYQV27TW5lVB3PThlEBmoy0OuuBsI/ubl95LMouIc5LlDpzEbrHPr92uI6Lan6KYeHLLe6FS7B+zsIwq16y4pqxx3hJp1U/oeDvbFr+Ys7aAi6g7rW7c6vsW1NAwqO+02XCh8ixioJX1Rb9bpH6Y7xLx0/qOSWvznoiMtowfV8E73eXj/6DC/VbUzO+yDb64kFGL0y2DjfucVpbs7NaE50ld8NKZmDVzMyp4cdr3fG8tDVJecTEEcqy1aeO903/b3uzp6e4eFTNWg5I0U82ctyw2FIH9lCW36gdZ1yCS/B/wAQN4VrCmVuZHN0cmVhbQplbmRvYmoKCjMwIDAgb2JqCjw8L1R5cGUvRm9udERlc2NyaXB0b3IvRm9udE5hbWUvT0NKRUNUK0NNU1kxMC9GbGFncyA0L0ZvbnRCQm94Wy0yOSAtOTYwIDExMTYgNzc1XS9Bc2NlbnQgNzUwL0NhcEhlaWdodCA2ODMvRGVzY2VudCAtMTk0L0l0YWxpY0FuZ2xlIC0xNC9TdGVtViA0MC9YSGVpZ2h0IDQzMS9DaGFyU2V0KC9JZnJhY3R1ci9SZnJhY3R1cikvRm9udEZpbGUgMjkgMCBSPj4KZW5kb2JqCgozMSAwIG9iago8PC9MZW5ndGgxIDE2OTQvTGVuZ3RoMiAxNDcxOS9MZW5ndGgzIDAvTGVuZ3RoIDE1ODI5L0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42rW5dVSb37otjLtDcQnuwaG4u7tbIUiBYMHdHVrc3bUUt+IFirsUSnGX4s5Hf/vse87Z9/77jYzkzWPrme9c81lJRmgp1TRZxS0dP4BkHMEQVg4guwBASVnTHOzKwceqAbJ2szd3AXAC2dm5UWhpJV1A5hBbR7CUOQQkAOCD2ABULSBvpW8Z7Oz8KLQAWRAY5PIWtAR88AIogyDmWl5OIA4Ag/k/hpqjK4T1g7nrWxgEtrYFgxjfSiQdnbxcbK1tIH/X4GJl/bvS32oJIEDB3MLO0cPVzhZgDrYEKACVgQAVR483py2AwREM+ACyMbe3AjhaAbRAegBtTWkNTYCshqq2miYj8G1hTTcnJ0eX/8IiqamlLcsCkBJX0ZIGgHRYALLamlp/X7VA4Df81iwAFa23+N8+b4l/y5WltcS19NWkOdj+3gOAA+AOcnG1/dv2P7DRvSED/De0t1IrF0eHfxoAGGwgECcBNjYPDw+gtZsrBOjoYg10sv8Hn5aNrSvAw9HFDvB2dQHZg/4hxg1s+UYnxAb0rwX+bgpAydYCBHYF/S2ScfxX0OGNyreiNz/k/wB7IwLyd037f6UDXEGg/9XGxtz1n1olNTUlgIO5LRgCApuDLd4SIeYQN1eA2T++tyfIkv5fAEEASTcXl789lP8dcvk/bf4NXcLx7c6M7H38zD3+c8fMwW6u3v+Dm/992xaOYFdbV4jrv1YEAaxs7UF/0bv+3TNb8D8+ZXEVeRlpTS1WpTfhgVmVHd/YAQMhnpB/sv+uJy6lJAB4z84D4ODnAbC/iVQabCnp6ODwhtoV5S99UrZvPEEcXbzY/i9d24EdPcA+/7ffyhZsafWXeUs3JzZtsK2zG0he6r+y31wo/+2zBkEA7ACQMwDkaWHD9rfdP2r56+b4636jwc/HydEJYGVu7wrys7UCvV1QfFzN3UEAiIsbyM/nfwb+t4XCwQewtLWAvAn9bVhQ/lldHmzlCOD/l/sNyb9D/yUBhn8GlfFtSi0dwfZeAEuQFQqbiiPkTRAM///M2X/0knGzt1cxdwAx/Cel/5ln7mBr7/W/Mv8jQxf0FyuDiqOLg7n9f8RsXWVsPUGWarYQC5t/EfsvvzzE/E374mBre9Dbpvzj0v47TvZvun07e2z/Hl0AVk4ezv+IvUnSwg4McnUF8P6rDPRGw38AfuP+L1wAm66GnJqaDvP/pZl/0qTBFo6WtmBrACcPL8DcxcXcC4X9TQicPDwAH443TVuCPP9RCoANCHaEvJUAnNwgfgArRxeUv7vJxwVgk//r+sfi5wOwmf8fi4OdA8AG+h/mW671/zD5AWwO/5j/G7ja38H9R5Ps/30n/3Wi/WNrQlwc7UC6tpZvp/n/SFE2h7jYehqyvwmK483/9vj3O+P/1YD2v2fhf1RLSDh6+rByvU0kK9ff0eR6I4CDg4ff73/VWvzrcPlHzG+U/9v+O9kAEMgTZIGyvOBoIRj6Ma05vMJfumiqEp6WH3hcjS+ip/AZbjlzqpOEUCp/kwokWhzUGphFV+yoJCdg7J8SBC7Vow19Z//yqy25ZvLKUl1sy9xf2Z8EQ1p8NE8HqB2cpbwUWPmNivFAIa9Qv4x7Jqv9czs5QHv0UJK/s/s+jnPiFfsilcqosn21AN6jZI6jBc/FHsdzCYu4i2Rpqgsa8nqPlxBr3ie+zDRrVhiOP6qA4NTbjWWsg5uuXbY+QTenKrEt8jQqMK3sS5xbLFJ1YR0WJkSyZ4JVGBLSf/CM8ZKv8unRaoZPtemK+m5GNSvaIMMimghkv4fLn6RzvwlE/9yEeJb/upqysI1l6BgTXj2ta9DcFvey8kPpu1BjxgDeNLWxkyL5RzATV0FymffdV3MKhY+KJTdBKcrYeAe5QqQxqr9u9CWDPX1cY9F+SLQFCJmk9xJlIgyWGYtkah7TO0fKPOJTGL5bcb4fF9mfGw8aJqJEssYV8HQTEOT3fnZ+IQhEAYXlNnv640ywuoyhaJUpm47jhyHLO7MqYtB+MMPeOo9vz4yc2j5uYFrrVxfzXxYYzgMeA5cmFhiZbNeveDIBV5R4ZHxGuS+um0ukt2pcLlrn7Iud2YHwxRBYK4Xch/ikTynrLL57iA6dY/tKi2coOMbnr8ywpAlfST5f/KzG4F81WbRvM9Gcdkjc/en5nrBBy+FqIAA22xq/2sAEje1U2zRO4LyXvfNT43z5Zk3EfURDVvT3M3W/NtAvoCZ0uxSFPWHBJn08Zo8pambpqcbwYeQxNP3tKXIr10ktY6LVqKL1JCKXzW/OL9+S0y6RLSAH/eWd/vKPBF6h7Jnnybe0sFK0eWWT+SJoSuWKHxH5q0AmVxNOPSgLLx8iIhWpyi6kL8R3il6+9szrHEJ/ztP1GWw+Z68vuqthbdLNbNpD8vgeKtP29dc65Tnel6U4z8YmgeXyADkT7IkWkmt/+2WKlEhrX/UXomdQTwoUE/MfeSYcDn9U8ajfiqhrctgflBAR5QqjjLJ3BGxQmDFUuatzc3g6TE8XMgI6VfdBN1ku1UcyKZ63JSfWHrrhRx7r7AaeP3pxSBqKsh/rk6HbElJQD06ne1nTOIjIAfUOT3N4DektSEUMsJ1bBHnNdxsJSWc8oQ04ZFf1WhmhQU8yRidX0Z5re03eg6Zx6Nce7YQuzdCeqXLrFwOFx4y/eQHAogP7Wg+BTaSwvRvdrgiNYgcW8YCs7SaxZYuLRkqMBxyaAD0gs3gEjp1h0DXHKeRZSfdVKwcz6/RmdDszwGHaop6jPgfjJSQJAuEk8VeyYNRPW5Pz6RVkbR74HlznTg0DtZrHyXc8i0R7Og9u2tHNOuEYcW2aAXWQHciI42dmhO9EJDnEyktjA7+qS0vdi+NBv9z64j1YtllpS4G4FMTffUREIjqIcw1dvUBhD0k/II6yK5Xiny0dWOm0iqogSClcaWxaa2954EELS3oUfZTRHIEN409C/575Zew4hFU8Adc5PRkYMdfpvaI8JjA7KIfb4904VCW6wKvkVxXF2gCt7U8PzTzsHre1ctW9pCTGquEfEo8O2kn8oP0MCyNTbeMZWqTllw/3PoVsFedjsdUNrvSUjCu5QzmC53EGfoflcYRWLO8Kj1owe6+/vjGGbcCxfSZtd1wp2ezDeqekNhDR6BroiJckPQi18gtt3vWgUzGvwSLdDSYewTQjrTrSShDn1Gf6PR8tPLNhQWY7meE5oqs4xvo9JsfSIzPm55ttJFQhBwUF+Qtud0WJDWIcpRVjXUnExGhT4ZNGjh9OoTGAJKrATm3gONxmv6B7/g0BIL3Sfajzma6MBterL8U4qyAR27b+Y5e/4hOxe48o38S9ajGNE2ClKxWb15kvVrZzpfEyWqo3qrvDqD0cM3sE6qhsP4v7U/CNJprau5SXjRDXmDPedGYfsDKEIydH2a4FhkqcVxdbcDxN3QiKqajr+tFkQbeh0igZONVjPuYPqy5U1bLbQhczyay8UuJ6zPM5WoOGQ94DNeayIWYWJvx3ecM2m++3fqtdNEJxe2mdFgrY+orUeE0oZWN4c3X0D3dBXzwT8XzGU/RsW+EjIB9ZtJvfW+1oPPwOjov2/t0Hh75zX3XROBpGkI8UCYcc+6WuPGXsu7GuVfxluDLLABgxQl9SNMzHVbBZ4VqfJH9W7rNpnaooCz+CLuJOabbd5dR3KwwLh48zhrDFkrofdKHo/XscR0ileXEr0WuKkI3cTFQ/P+mN7TEG2Tf96JNdG+HVf544Ch6VhH30PgNkZ5hs1BEg3hJUJR7tRMtWSOlmgBJSDG9F3zf7U6xZ6OZuVSr6qrsMDy2sWVCJPOnMPwT3BjNZIKdFqR41eJ0Xkrhdyke069k7XtpUrUr/Rh+K0bz83eyMHIq7Rbic32KkWTFty+Gmz8XM/QgiHaEPaoxk5Z3tfbGM9OOFj0G4rOzAIS3QQi0IQJFcj1aN/1mp9YpJWyBcI0nN5r+9JNbIS+lyz7LgMvmBRjRkWCUzwgTWQwrSFX4eckzmQyGftecWcTIbFiKKVHG5b65yix2W0vOVHU9FD76fl006K3HnZDtpd0AYOs/G3aKmyF0Vu+PryybnHBE9zWsrL0S6+RONSVAtyntbUVjCUmLUOwQYPfLTNfsEBKCIdUiNO02wWFxvmSoFFM85hTPm5z+/t3OdXmhfAjrCG/3tfJC55wQzaa4rug6FHVI/fXG+4yFOzmuxphAexaPQTKnJ/ho+3NzjHAbU2SDhbq+8/zafusNK3OseH48SLoTsXvL1x3ebuSm3zJE7Kg8xIeOJu0WTZ3DUHizVEMtX++OP+RVEYDPFmjx9RB0+WzfiP0uIYCI6cHtlndoluwE4fljC8Vg6joXpeawqog0q6HMuVFwM5P4JaTm2bgSY39yxI7CaopgltEt5aehiojBqMk8xBNP63sioH6P/2fqbQQpknofwXYU+DPxnUPalIQE6DrCDNlEW4UsnZtRHKEunkYBsMbSyjQ2qhdllaxPqo1NuTx5gJfyvwVIPYOu1UD0c2Qp8VifpNLuBYHEDCeNqHc2xJ3grzf0UoXu2R/Wea0Ku1vzENPShdP3uK3+E6gvApYwDEfNRLeUe/d7stvvWmVCQne1ax5of5WILrzMepYU+BXuMAGqFOzhEg9ngWB4FwQErW2L8sU1CXdcu8CjBFoBOz+IsWNRMIJE6hM1b31sXAVuQv0PwTWLcAuHJbkVNJCropzXa9ehULgGYzuiPXCFUEos69IPISQsPVEsVz1pA0va6WTsnVqZf4myOpvnXCEWiMESX78BtjT6olWaCEwiN6A65XU0USd9Y9fnIRqca54KqB8yVZ0NsECV1w9mO72j5oNjXDbjDF7moU1OuOCG5MN7goIYRowlaYpmSKgyKfaD7sDpNsJRU2H6N0r6egRpqFYNU9VTM7V7gdayopZ1CRIAS/weVVBeLTe69QM60Qldf/iM/vARpF7HeWviDwmJJZp/mbBl3/T4ab1Rahl88JB9SWD4eZzUhlNQtL/fBFBcp6xsGiKnoc6OVkHUfrl8shDkWGPCeVtlImfuma0XH94zhBef5Wmckcs/C/JEfTjUulJkmYSQVzUzhEeWg1kQgkMpy93IzUupihb8vcHqiy/ICxt7mK7KKEbrpISlnzyGdBaxuisoYPFXGF0RrE4S58HNCHRAtsqUaS48TfietTlcsCuE7/xTS1xCLEtUncErRsjSoZ8SxwtNCwfU4ax7dku0SsvnxqFJQZ+5TJzmxohhOb7WDdlh/inqAoiFjVeaifv8ubL+E3trAbCBhW4HLAbc2XMKAeufP1jF/I9obleQKhG72xh/3s6nugXiqaxEMXwV9J6BqFUoa+HsjrisL92Rba8dotUnnogbbpSvJk3Ku73e2XpXjLSecZGuPAupnX5wVe4EGmSd+pVVfFus7axhQZitm0+zy6VuYZblXZ207QfJLU7Spv5KFELw1NjbFXRLqN2qeuiyZHtQ/ZiAslP1IfJYVvqxfHpwVIyhgjRUle0b9VCMZTXUNuW9vHPeUG7UpwYbFGswNV4BEeDcxBJsqQva8tYBjYTM+5D4MiQdSeFWtr+wtFc5y3OWhxSk+2DbTG1fWEquM31aYSefj322KNL/2NCb+TpGfKCRJ2HSDydPp+BUrsqfTh0bgxBIeu9xDKxE+P9km84tcd6Plfc3Ns/xuieBVrD2TK4wVZpnp4KMcZ/C8Xk4KMtMP+TUAQNyaRYaix/prmnxjLqQkubsW7Wpf3GR9F5Qze//vLzRkRmg20L+GmAo92fk9NusJ9mb77E5JmKsIM68cV1RlNg0ZmKGzMJyV3HVJcepQrFOPDCaXawhhH40TF5fTQlkufzg8bPNNQRDgx0aIjzM3my5MPKyob/nyp+I3qFZQQhrsU7fSkDjFgtJyfwRzSNDz9wzGKKyFd+vIfCt03OsTjz+yaNlKwoqtWaEZISUC1TPRfHHxXy5mlO/5yUChG3AkWrJk1IQEfu1/snbOVDNFFkHdT2EqYikRnYpJ0JdvQFl5zx0Gi3KaVNfeEeyXAdYRfrfdpVJH2i6CpleGpcfe1y61MGXHgCEGs/BpFHWrMU2W25XIg3/HyGq7ZdgUvUm45bCXNRRziw6N94u5j0CwbB376ExEVLxP3hLopvroFEoun7rOA9vO6QAbLeKj+Sl8Iq+xAvRqqpU/Qypy3JD6700iLD2Hic2VUp3pilB9LQ5VPCYVM7OqrsiNs6Ga+ZhyY9VmxmkFNjrYpTl3Q6+WsoUBI3ZjFRPO3M/cKswiLaaEHaxCywqZzAOZOEg+v1v/IPo0yVCvo3Uf8gmbEi+pDuVsijCXsMZv1M/ewZIAf3jvWEbmDfIFoNpXu10t2aU5DTL/wWEdYjVHmHJ7T7i1gGaWx4N8qm2RlYbzwiFIdR4vEH9lDiY7hkCGvIlUvtY3Ci4s2FzKWt6jmkRbCsUWfv3D3HU8k0cdmk1n30x1f7sGQcGIJq48c8wJHfq4+vKeqD4j2PXQ5O4UFojw/mZ1myj8p65uyWPFJUehFHQNdSupr6zpasHFZlOJa9pJq37FfaFukdUkQzT9JXNHI2pk3LotwGoghbpKnIaN7DN4IYckoPlkBHawzh0nTGY/V1CvZIfoUlnGBJqdQil3iqRWsMnW43x/BltvnPBGQ+i2mVebBLpxUzXEdDQ8/BB4e9CLBXK1VuWS54nPTsRvNEwSRj/oehlXIEAQPCZHl6ujfQrWF6SQHNps4o3SG5oatdCWhddER0uSEsVse4Ls8q17+8oiE9BMPR8dyNCRtJmTfWWkYJrRM7zW3+0qsDFgiLWu17tUkQCHGw+35/Myoz/Qrcv5ZEDdSdT+AneJWQ82ye8L3LZldFRyrhZIfsFDB6NqxPZSTkyPfleciTtQ90WxZ0Opp75wlCpWUJvdhiZD9mfJ++F+aOAqwqFKcXOqMfgHnwP+OxJFGmiHv66dj539I4cjk2X5lS2/H6VqccHKKymy1p8o5dwjMe4Hfnpl4IhlA5vo7pif7lPK/Q7FgKs4ZmqTHXZLu6IgZpKxT15YAqqKJ0qW/iXBRyODx5AqQHXiaQf1h/jSw1/+FviEV3EWItrFK8mUVdroLVeH23KYjfvoqHfAoOxEDa0Q9IJR5Ex7kM4eRtFTImFlZukhk9B4mPo4cfPhJNT++eSnuZKA55FQR2bNM5/LNjR9S390c2vLe7hQiH/zJm+R1RKcpceUyjctNySWMCqLrCnm2+Db7CW3ixmIFuG3O98POUVbfdjlufi/DNH4gOVr0JY+KdxTca9GQbm1QM7LQaBaMEkhV8syumAPzbgkW3BQ0/vVyo1cU/q9PyGe37YnYyJp+CuQaajutGElduzTQfjIm6Ede0JGXIcJX5H5z6qDbvKOcxJr7zXHEUsFzuPFhFv5SnePDDW0sqAxvyI8SdSQvCedKgjayV0Wx1T+RJI9g/Au5ZF+pN5ZbUF/5dVNsUZ/XVpvZgHp4Y+Vzcrh9058w3nB1OUk7KQrcwEttoUP6FDi5Ka8fkcr4f50usEhOrR2tq059CavO98I3a32vS6qT/HitJFjoGqcFfFzKnjpW/qvYQv8D37zwNXh2LQDPuDarHkFngTbxDFf3Yfjcx5J3ivxeWhOQX/hzoXTbb6zoCW18sK5geexjmzA0ndmfRlnslh75G+2U17dyhPRR6LWR1scMvwWo3fS9+dXSnGrGP1adh9X5Bxoh9vq+Qwsj1qLi233FBedODQH5oiVuZKFbZbetLira+N54bYhBI9/2vxj+rMhhYjcXsZAclUy3iwZhdgH69WGRwlO+MXRA01HdTGQksYRjVK2XthJCcr616cm4c8Wv0ITWUj+JE99ZtyEIW5r/CUUC2+9h9l6mp4r8Avh27vEdSZMhDYVxBVsVFMvokWTud2keivpWa0dlYUR/7nrzx94pUcSvauXJr7KerfIEgSFDc+SHOjC0ydkR3iKDR2U4WWLTa+E8dapd0FHQHxPpjZgEMmZi8WU2h/uP4lNwk0oN5UPEVDXC417kMRhxfhuw6upjNvmSTT/Ophm71ph0fb4Y8mW5hQwDPLIfDTT+Vnu8SNH3nmATIoAMYd1Ejn/nbWfh89PsXFrLLvggrSefgdlnjrVACS3uTLXlKKFcKrNj/LkUwiCXtnrp4EpD7xHEs8gEXPNSy2mb7JatfyM6YKlvys8IvMSuelWK39U65/8Rp7LWn+ubQv7KDOr/6hCZgyFzhzMBOOgu/O7+NEgDqnNAntY+risiw8DSiqdVqzSwE2ZvFzMg/ZVBhthNkHlnEEOhhepl84Dn/S8LSQJW36iiwy27ag42wlZRwIPMV7BssKU33X97LWMXAVySOa7HRWY3Fma3IPksdsJOg6+JoR8DYmPY45Pf3I0D7vt5X5/mFkiQ/KQrPrHffOZWLR1+IGow8bIr8TIBDUPhmyyBoU1Q92bp1OaMGdronJSNUnuUEEdrGoQorFNEIQiV1kjUmvVceq1kfX6sNkbx3dLW4oNmTXBAdwPWXQgaVLlaRsgEp8IoYtl11scqvSBN++sq/VlF9Qs4v+YJLGRZG8zXoZhLPMWf7uNnmegUFRz6yK5WydLwaNrV2nMYDbQeO9Rln/0ut2WZO6Uso+Ln2cTSa72odA0ClVecQbUTNxyqFLVeKDRfFEIpV7zo6DalwyPrjlyZ/x8k4iWsmaoaQzE7fz+nXYRpWAEubKmM9TAEqFE190Vp6KDajBPIBWRFNYFe8QTtUJm9OtaONQOSXZL9/LKWoYJGMC1O+bUiZFqAa5sdt+jva94nKgpJFL1mfSu1ck+e2d37AmUMhcdgNnfqpxeM19Z86ZYYkMDQpT6mw2NiZOTRwCND6YL9ZoI2OJeclIcF5vAM55E4012YAJd+0N2DD5rOvD6E2Vig5Qwq76pgIhDm7LEzFnMYxhet01ktxbGItaSuUP8SvAvuzK4JsbpCGn0lh5nDb+0sWBV7fvYnUHPErYrpw2a5vyci4M0BoAV41d6c2/m0jhJTPKE3StMcnikMqYB8t1IQsUXK/GeWeXB24AjvhTZ1udtERVb5viVeqHravhpYq6LeZFNm8NOsLR9QzmKQv/dZzX9gE7t9d1d2RBxpg+G28TijfsiyDXO9N3WrGWDlzFfMnXDuvf1YpMdkVc6x033FAaXXNfE5XIODJVvLanLfnp3O5N8GRqCDRVsfO6sziC6nRGNdruZllHwDqSlYyZNuQjanVBeBX0ArpfvnhwU+5XS6TUKdXaaJKh1hqG2wHNbeishLzUd5rS+L/gIc3K04rdpa4kmeZ3IxbgtVtyJE9wWdRFx3bcejWblOyFL0IKImoQEB7Vp7FQAGqrAOusDyDTKK/MuSV3z0V81G4dJw+oifiTHlxpSrnZsn8vjcVfefUKFebepMxhAJiroFklFB+lt1w6wyAMe9DykelMxQcW4tGmJfZa3LbiYgi5ZHClf+5Qgrviw9YOUJzFlaCbVOaVuZlmxZoI8tZOczGzLvXGbXZICLiPR0p8ZoiJXtyDFEjFm3WfTHtei22rYtsG3rOyvv00eYvSh3tyJ3JVaeRh2ss438oSnhH8V7WwzHzlufJZVjcihyXBYhp1rQIMoFWKtVDWvA1NILS+5Smruf6sjhRmBXlxPyUke6RwcIboY7mga+u7oAKi+94qg+Of4WsolXEDyOT1liDkkk5eAHCdv9mckxv/jc/Mx0NFri3NBQgTxS+LSZrwincHhNbBH5jGe9bumIfM3a922r5km02cfJPdStR6tVjhuayn0aimMeqiCJLK43OHSh90OuKhMtnRN8+YOLS2fxzmSU3v19MeHemNTRfo/mtlj9LESfFKowxOD5sxuCAYXbvPDn93CeN9Dey+6mlDgUqhLUND4OIVFevQIYUMtHV1O/FCo2VntEEV7KYQcom1iYW1VDsv5Zp6YH1blHo1n86OcbeANc0FFLAbdZdbu6trQYXKm+wqnl+G45W6y5qmvnFxHvMcHiWi82+ad7Dcm/830wM73gbK6L31TcDLyBqOFwD8zfNHKSHPBPkLqp15QIcDnhELQWN/4SnbyTtJplAFnfz0bfH7+bphQKunJfl42vBKmNa3kRBa5eXWvQ7ycmPKu4OjWXimQ3yEehr9TyMDI+Xz8hFJKZculXfuX9590x66A3RDUSKP4wZHwj0yInJr6vVs85kTT212g+Nym75Kp0ypaFCusHJG/x8819XT5h8ThfssdPjdZmiozlylZqjXcVUi0Frf2uFOvCsW5VHbw7cElftRy7j9x8dnb0W/eUUTztpwrHLY7ofSWZ249S22baq3xUu13YSzhXvupAN64eAX09Sg/5fEO0wpJyvzsJc4JIys27tviIA0bEYmX2l0wGipxutmoG5GevSWO83gWqHMnwNGwgQOXYTdtj7HIfodpcjwI0yHvvFWeqlyjz0M2+JpmYHxbGnWSthhlk0QPRiTHwu/ddYItpFIfHMuVjaQ8qXjeCOSdzTGVf5Hk+oHUJVATAlXHTZ4oBebfXkDXEkJUWyRSV7v7Wpe4fruBu5FA0vAu+cp90VK6ccc/kqF784J8PKE0yTTJuuUUQ01gT81ItBIHieA6uwIZDXvvMdULbnFfdzS9C9yaCfs5rBa3RiV1WIOeB1FhQf5HNz+AeNjXNMxkZ0WD3+MRL8W9tkQry3xQ1gApmhjWmXjcVVtfMdCMUjqv+Y6CBqlXWpZAkRhYWbey39GklOeU6BEp3xbpda/3lMUFfrd/KgQlJj5wuGQM9qOYPqo+YZvj/5X5kyCcQUjlOI2p6MJuO6VtipRDwXVUX+v7Av9E811+wdWyuCppAbBW4vidAqPO4OXJZ6XdClFYwo+M38Ps5hRhJefiJWJNCCMbgKjBKCm/lAco9mts06CfqJO2+4gYP+7ojQ+x0ocjL0vYY1Fh9k6UQuat+BoRrdNx8qNQvkSvjgfm00qLF73I4tRPuWYdGsKHn3zfpWz4JNpC3JxQo8Jht8AA94N3zjwnMvBeXwZh5BalmOuTS7QTRb2iHQFULedXfBH36JdXk8AYUXf0L2jKf24L9X+7KQStf0tr7SVLWWeW7Ott+/xbGiJYil/vzPMDLGknfKHi972GD9dHntPT+TDwnBZDz4spQtCkeTXocYWo6IP+mbNtJJ3VDruPOl4My5Vjb8tFvfxR79EXFi6pbX9ZXzzGJVNb5F93A+olRQkf8XXak/SyTmp4A9/FWNhGxkfenRANLCY+7CUpc3Oz3ZMIo4O9XAysEpcdqkO6LpNpOOr/pKgV8W1rr3bXjYXiTh99qbJmnsKXaHCE/u6MOsZu2RAFZqh1jZoxm4SlNTWismLuBMBSG42AQ5joF2bv//xeHHFBlPcusbZHCo7zvU6amFxW73aYIeW7sVY50mRU4v2OSYFgGyfC3i6wgUCYqusxSQDFyR01tH6k6H2P/Cc6BxYZoFG9GqI5YlBL7umWiB/agVl0BJp+QInBq+QpKopir4fKtRhYOP3Rum/bQ0YxXOw4W3ZrM5Ohjg/2lBhzhaRcChUTLNEPGTkGgT8sZ/ZxVmeZpr2Q4GS7eAlEmpO4e/gAb469NICxTBABTejArq9+3/5UAFHgdKZha4KSgiuOyAHEC9dUtcbfLr0K/ryYiHfd7XxyW2IProIGbVT2eTwMUcwbaH0a/ixxEarUssvDDJ0PEfZjKIy6fsxHHl8owB73c81qnaIrdHJ9uLG/Zly6pxak8pqBvtldhU1Qo1u9+GMbqB14dfQa0caEISZ2f11Koh31nXz+tJvz+ck2XXbK9okJZE1mdSRNbCyZHGVf5Vp4UX2iUZeDYJ38rQ6j5Xbsub7G+/nHNVHjZB7L+0iHBsIAaG9PBLUO5RpFzEuPHP7ZHBz4LMv978g+GhF3V2AWgXb4MZPiKIpv30gsnMfYxY4/sN/9xq23S6KlPciL+qTqZ8pAB/MsnxbabESy3uo63VoJCP2WE4qev5gC4K4oetXte4Aj6+ahWD6HjMQ6vEv/8KUi+jXPv0deYc8GtT+qYDEWDHQkYL5Rd3B9AODCvGdwaegnD38Y5fOG0CYwxetqmix5uH5vKK8arqoXGROkySP0LD/PGVIQ4z/OZT8RDuZx8lDdp3GDaJmPFdlfRtMR89AcCkCJJdZ16Re48Lws1ZTlrakkNhP3WHZLnltOF77I5zMBUV0Xsn67Yntyfso/RHovhzwJYiM3AwbQOpBt3eruJjl+qRsgD4Ob13zt1f7Id411zuW8QXB+u4nb7qXub2DJ22GLGMHW+7IG7f9jHx6en/vmINFQelxRr46rYsb0lrQkhrLefu2l68vsTj/SzmOkEPyKrZaTRLJsjJIVmYJKXoH2Xe2gxEEIpB9V9kzCGpLXdW3a7J78de/Kj3uA5GpEv69iwa2M5Duy6e9fTB3olTQWxwEpoUcx1dxUWPNfTrTVBprEkQuaZm0t4pvUluLztXy0hmRSJQqm4LDnLLUc9TkIsbjqggrUrRBbE/NFm3doPJQlM/BlvgjFusJLIpLLCbXVb1cbPbLkOfbuhmVbX/BkBTs5Nw3AJK5QNtZKQtC2e8OMYGzlJMTLFyjqxuoF+N611+7BSl+jrkxo0AVp/0YJWmMEKnWcC+/24Tz+ZBHvLs513aE/KJWL/gJp9ydCKufAoqIP2g7/0TQ0tVxnW563c3dqNKoA1HKelKurCBG3R0GcEQyuVDnxJYfszKsYYNze16trzb66STHUvptavAtxDb/CXkjOUM6yTjOJEsG5IU8ygRL7OCwiT5tWqU58Ow3rWDKUpAlb44D+i2qMg26FJvr3bnmfwhfxy++bjQoVWl7bB0FcakoAnE9rQVcaW94lsuE07jvbNzMasC3M+xeGzDO+XEaWpu5TEQqIq5WJhxZ9BRaNDFEczxYGIAnJi5+sMa+XU9Miv3cUSjWn8K6vj8iFOmsQ9kdR9PXcPLOGedjnn/cwFn1Q38OmJceueJYc69hYHBZ45Pw0cf9kuCIGL9Bjwyxc1v/yeSJM8zHSz/IjB26YTEdcSQg7eURLG8wjIWb9zOxLfryzqyhpJY5Nk3OeYlcq2YB9tIOLIicUq9YlBs4w5foOMrUdthGmoJ6w4u9Ro4myOGJ49yRbue723OIRRaNyZvVfHNJwDsz7PBHFFzCPX9fmhgwWeLkxo6M0RFc4JVQbLDrsb07hsvq9ULEeCU3i7u3yDvw3W2dffpoux8mMUyWSIkrKVoyTquLgmdTJAc/+2My+N5mH2uFa+f3bPTUVeCIggDsAR7xqqgFlqpVhX0GkAGwWu9jElZfSHeCkVOBw+YMPs5qvd6bHchjnEEfGJ0fLDy3xrWgmt6dlKeDH/p0zkOTYxSWFLHvguJt1rDEtvjMH3jqHEYXn476kumcknYnuou4O3lflHl+2LK8zK3ZU0WQXNhQSZZ1zs0oc/gKFnsXvnA5QT5td8m4j5MYhZQ6b8E+ePzt9mMsXMIszD91/ua/l+ZNNmCbAmj4YQoLgMZbPvDO2XrAEvoZNqJcWSVVZiZOma5KwjB68eHYSb8/RitGwqPIYvZvBrBxKERsfNzq4g1pxSdrDvdp/lrkinXnMIvm23jsud/z9U+TrHkbPSV5iM92SWsmv5WMCW+TQnwrlO+ZmmpOSxhqCtsne1/OoSa+KZGZsnDIu00C4FS8Q/3tSuJAOh7O1h/GuWek0/GXtgbQcL9hslQRD3aMZmoorb4p7CZLXw3ff5gpUnAYAyj3VqpXdP43SEqfGRajNs1sl4moeFoLse5/FHyiJDch01t1hrqpYS7SEz1Z5CaGUaOla0MsWMGsl0vSTduOKNo7PEkSbvI2Glclf+doLUCTNkc4XWn1eZfY20pa0yFzaNmy4VXP0zfwhkR5eJxpWm3ZO+h3NJGPzh+ovEQ0kdj7NuCfQP5RBt9m+237VcCLjw4tkNe97zqTierBeOc9JLCxR3geGMrbF8bg6zox1YPDWNlsKMQiYN++boRxVX7ckiOw7C33Y9nVoHVI3tshRLL1JRmZX2VAs4TjITmg7NbsURPix2PMa25IFSYxwpWxexTtRHDpnf3rulzJ8IuxpXo4rZ1+PL1w9hGpZ9xMtKm1vNARC4WtPIeDGHn4ow+hEgdGu+tWkfWpSVqPsEVz+3l++9VzYLtri50xz1u9pHMX1+BfRm1eDZKHTVep9FGOlEaLqbZlPHFO+BLgWFyX3x5fFroN36b7rdC7rH9zL4dcfkXk9mPSM8bj3xMR29/bSNqKvvcTXbn8BXGpqXlB4XLQRsPkJdy6yhawYoLYNr3eBjqjux7ZTvAH5itu8y7XswjCRaZMbczNYv4pmmzCSZxBxBAzhn6oCljGYMlWaewrXE0/VkPLYLwdqtmcR2TWcl9MBMbK4DtPOVrBLSe8uZehsOucHZNycA9KYvC5Zh6elAkOzwp4GQ07shiSHqjAiLRRaG0mGNofiHDZvEFyIPBUNucYngY0DnWJPmBIMtwFPP9jYfOuWhQqCvxqSwNtju3r8oFqey3gdvsSOZ5/Iv25CpikZuZgyu72uKtgqLMezdgtt/7pCh7FhiUJqn9zJB51LBcB8p/b8e6xIJWE3r4ITMDOz+JtNOWVpC3M9hP/EYpJ7THYoL7e++TjiY8xrrrpnJtnm8YYtcjVp3zawzkv2sLLJULqlpE/Wz6suA0OHWauM8b0vWO6s35KYbDAzyD5J9JrjM6Ku0pPmtaFb15bf4+POT5KnwRpF4EqugqTHtlWEmWVWEPgFJ9V8ftqJr/SHJzbyRMiCX6IN/nycCjUCjCX8stPR1pFSHH90p/knOiTznJy2rh03wx64dy6nlePI3hfjbQdfoXKbKQXkIcbPB8f1s+0+l7I/v8ZceI9GryM7oj7FYmJ8CsV26OkFCqzRJpIObH9/afQN2N1LLZ40kdJWrR0zigxSRijrMIvozQ+3+kKotZWj5PsqpKduepdNxzOf8pwuT4jpe61qH16U9EnX2GSuJOtWmZAwRemGcqPFQ/cAWHhNcu7NYEJXrHFFMOP6zV5kn2ukm94viwsboCDCDmX1lRVdqS9eu8XMoCGc7wRxy/DuQYGeR4nMxBPJU2E9h0HyKTATDjUx4nyILOm2r4GKE3rhU5cgcuyE5rpVAycsplUxmqbzz7Gf61JUn+FAlnmhzM0KxbHBK/m1eBOhn5JVWn3xqMgfBfyLiBoPMYZc50feITZ8v0/2Mxd2Q9LktZWHaO3QW1U56T25ejGU+DZ43kPdCUuH0xztlk0h+PP1de82X+ixa3tgvFrL20PVTW03jrD74uxMCLXl4e4feq7opIkql9KQqKFb1XQvSQ/iZLNys5RpEbtZm3z9U9JNK0PeL1OXXNxhdYU5E77snm6+vmEjwtLxejDiTn8iMCcNFrDuNmzMANy8WAEW0u+xmp5gBwS30vaxTQXQOIEvMJ+UgxsQHSzyGyRj7O7XatCMSpQqBhLY+AuRM9uomKzcPlLJmcSfAG+c5M9+DhalKbiXiWq2hklJG5S7BKF5ydUfh9uE7EULCZ6h6Mu6kkZZaIuFYHvISCpf+mCBakBl0ky2qOfzlElscrj+7ylelX+E+WCk+VNvvS/VpvFVy0xBnemvnhyddH5Yts44QHwxkidf47J3tCKbMTDWcTFyGbXgKMlu1YpjXVNrYct4tvwuMEVP8McCfktan/IH/0LuqDLs529IyVfh6xRqPmpPPLafybFQYMHXn06RX5ck8Zb5FZ+FdsO+B7jWezpcnQSsGTLZq6Udqw2p1a3hLwWjfCdtW671WHFwggGiG8RrlxN+YE1+h63y9fJJ5TG+gdzBdDC2ZkAOqsg7I1aH+Bt052FcODm4EE+OVGyIG3kIaBHKyAQknTJnz/98V9eChs7C2MY6ureaWohNcEfQjGgW4D9Y/cUuT3CXSvllsQhN6FRSjnPmU2Vd849AJP+gdEFMaGi/5jlcJ8LTm5HuDwbvUsuK2r/hRsbAC9t3ch+Hz/z4vEWFtxbmHziwV5xkNiWoi5Q2VMLyKKNPJIZGOSFL2dwB3bcn9Is9MGYXj92aowMR/jU6pD5kmxX8fuSU0+zwmZTEP7s2dx+rcSh10byDeWEC4+lIvf87N++aTPNs0WHtGnqD7Vphrse9eK5KupW1xvHj9ocN2SDRWYcLDtO7DwarmDbmbcrOTE+8RKrPqFULdEjznFfXSQJU4dAtge3M9kZa8Acr0oODLHw2XGPZiNNZX6J18lpnKknffS5wsWg7582yarffFkdKPUnS2aN9Mn+9vuRfjNl97ZHZ6X6PPtW4t0aKgcQCZdKG9PvdnOVe4VS9+G4l9U1kRr+nyDilIprYovnPLbMIu1unLBLL0HA68y/XzK+M321akciCovB0mvqK9RCY9vPeEy/qKGBRijuv5Fv0ZguueHQUxetKj5gz+GzRwPKSlvGq8F/wedMPPzGmrm+ImjrXUq5WwObkM2P7MdMvYHhVBat/kUUhceiHMip08y2rGsGZubULdiQbdx0Qez0VPBORqUwJMCaKLFq6UaowAZ41RJwDYPvdVug6kt21AUW6PgHxpaVL2pN9qVnY1rhGEILJAfYX30D8huMv4zSVSdeS/t9K8i0jy0adIB4f++0k7640PzTHOyMyNKLza1+kKFK6WHr7uyfo9CVDLvdl163UWaGVjfxnUvulSFNIm/BToh1JWvicL9WgHnNLDHDZst6RHFSjKcM3In/kEJKhzCwA456M3aMothVfTYg2bL/9JsWnc79Z9Oh3WqupnRlaOubG7RW+3ME4CVuZLUOgaxoZ9eJuasb2RbOEymDu5ygmykz338SrfbLfLFje6I2emrvKgxl8/xiFXk6ryqV29d0plno9xnwb96Too/NeMzZaXbU5UMT6PiBw93LFlZfwnMOv9aVMsFC8Jlon83M+DU0/OCWP+FbUkl4710e+qvu4jF0QWtv85eCh2Pb6hvmehGPrNNIxv0ELv9YTPxyTst3uUxjNjWWWfkSqD7fKfDTDiAQAyTVAvCZuA12ipfwzAoITOnHrbxXtBV76bMkglZ80wYhBX0JQknemk8KwWpvZIw/uWyitvWOTaeDGw8R/EBqxJEmzk4B4qO2QCWWiFlwe2VlWID/RZPheY8qRkKDvO92xV+8XKhXC1Ql8W3Um/hh/nlWSlIvMrarAy2u4yz9lVufijAuDkYU5jM7kmDPQRBNy7y6Gt78RMtU8P2IlvpNyZjq/RV95fgKiUvfrGhYLezOk4nWphc3ljsNZNiaPEzdZVghM9JX+mJPh0og4kP+6ghWKZF5aFRsg53x4Im9tDZWSQDCVExPHBwEbNJpp8CAxjDaFQJKULs5JTc6+WZT0N3fwUVFAwrkiRVJ0DWJcUXRdyA8WPMv0y0092hiuKiToB6d+b7x/Ob8Z0D1am+ht6NWeHLkjJZxNKOg8EsxUQ5i01kHRO6T5SOkQoRNs5xF+aUy5hRw3MhnzTWsRsYIQxQtvMb44cvoEMv8uemUpXoIjJIiYyaqlMh0vZc743k0Zn93bqjy5Z8Ru4MG5hIFCBUYZJ1J6V8gM+Kl+OMX3DorHmsYDM6WpNOQkrvw9wuhFK+yIogGuGjRW1IfKL6pivF8AMeHdZYZqQ7PS72mmMaIm9UDhILH3xzpsrf1iZYUcv1gRjL8SK1bOuh79CmX6AgHOIWKCvnVpf7PFWczzRsIHLj3a66uQ2GN9u1jVCvbNLiXxXwr6w5GXDD9DtUkg45Ub86khdP7iTxH0kEt1pzcKrSLXyPf8CcSZR53WlFa6L9Sggq+1rdUlJEZo83lEP2pRWXtnteGA4F0UdY/GbuVxj3LPIw+qi4kqmeITkW0ave67oKsTVWXDII22z95UfnSoDarZSZ7Xp5PebYEquxc5UP20jyOLrmpBOXgvIjNUds5b3o3HocdK2Vhmtfc4W3TjcjKz9PaHHAcsUuQJamaEf86MlF1eGFEl5RNsEsxOFJYFRzRVyrS1U4t4Ds3KnN1abrDzVIQjXKehRPlWn+RzDvEQszkWjJYTymy7Bt9/pLPmfXHc+VDwodboFW2t2F2g7sKWkq7xYenB73rpRA35MTAj7HG56CCHzJymqHGt0ivvXRmHRtiMjjGE+1XIrRCtobfJ+yYjw2dl+wzvfhdDzo1g+PhH0AnZpIX2J+fzyjVFvxVpo9ocMoPs/ijiJOWoOVhfge+wA8rRhxTplL9xVDO3dgoObfviyA7sn/Mn108Hmc/JpVyERdAgehjRoHB/+IJNT86VXfhXFDbh21m+6S4To4waCZriueFv7971vkglLr9nt+iNVgrdtLe82e5UEW3UuGfdu9IWvEsapOcY9HhdjgsjTWVs83zAmmDqkTDy5M8gDtBpZP5JeWv+ObB16PeFW7c2UtDLK/v5wE0pJcbKL8aZhBnCZIhSsAojSrKRc4hFHJGyT4DqLx9XeL0enY3NHFpFbm/a4qAtYolPVJKtwhVoX65h9XKUA0EbVsLSJLY0YBI4hCTdMcolybSoZ42HXxVmETb9sMIomI3NS3nn5y7ukoqmn3tg2uC0GvBGL4y+Xc+53KNj6KwEbXFgdGobuDidwwJlDKtOBn3HzFbsIr8FZAj9ihPK4hN7AebEQbOy8sQvZSXqbbgLx+fgBqueckmThyxBUZlrd+YQ815zl8Qcnia5B5T8PDCOUrx+ERR/D5/Pshr92/zUUYZRcn68qrsgS+GAyUvdnlVj5HnUrYRPE3Bw1ljq7ZSfn+oBi2Xws06pq4RwmhPJBXEii4qRQg+7PE+UNFFSPI68WLoERKBfHfEwup39Lpqkgqe+HpMWWzBSuXBaH4z3NPTCrBGJcDVluW1Nka1ImM5+God3g4YasTYXtCIbGWErcypM7oIOi2WT3v/aueO27+nvOST6c1sKtKA+Q+0YKUohcbzF35xcn0ON2E94O7P/ojgg8BSnO7d4gwnLKMPKENWUN0eTPD/T1nsSxCY0cUzS47XP97OXRdEp+aE4Zkd7FH1478McY7MSL7rBEtWzBTNMgpokXwLLKdtsyb1euVjYK1xqrMUKb5GuB9ZGN/d54TtXeyX3DzpfmiG0LSWZvMzYvRYlKkoFUBpB59r0LYHb2qEnsR2RCWiA/LHtDE0mVT0ViElusnJTH0LGZ8SFgNvh9Gx11nyrhZUECPVrJCHGfnyUSjAfma/E/PzwYAjwNCxyQMgGLrclgpDcbel0JGdTxzb2IV3N0LMslW0Mj6fPUkAjSR2AegkHuyes7eOAiq27GTdLZW/cb54vTUTVSQVbijUe3MytA0xtPYu16u6WHxhsJFex+ZHO9uh4y8TNOPRAuM7WQlc7RsiZL1p/F+PZ1kroWV0zXOVYrXTLLbSw9+KrZZ0Vg/2n4bL+jCZNeSFYIZ7LoGUXcnT1ESitvnYn5c+g5iEdsjPE+ymZGqzvYVYDAski62XV+FNHxXoSc/XGbzop3w2MUrObsUNUhbqevndyRVqSjLtyuW+NJtjYExF1FMjAtGtBXv2DDwYnzEmy57nPn372TJbjS3Gk3gPbT0LR5InRK5vtZPPrpRK/iGka3Acx2+uqqlmmYb9yiJS4lvpQLijwkq6qnW95ZlH3A11w4D0YTRUUwNFjQvLeirXGmhpCXMZT3/ip7j7QTMFtGbSWX8NefrZgamP7/d1E4rkJJYQUZUm69AN2wYyAaGKrIVP0vtC228Do8DGK+1MaeSJE/WfVpFun/8q6nquDmW/5kQ5wNbrD2B5m0DzdrIIpmCUBYUkT/ipDjr5bxBcTGhxmBu2SuufalthycYrXtXMAV84s+e9vSGSWEvU4GnUbIxxuDF064nzPutZrW6LGpf4pUh3ONam+iqF8shjKMJjf961dtE+qauSW8MkCia6wrz7eJ1wJklGf0I/A+0eh7B6wB3DILsapFmNqRra5JTPWdt8jN6h1aNqujiHy71h833jB2h+CSwp0HYXJdKjHnPDRTzQQNW35ydOwmCy/3yUIsoauYJe1i4gdVGVU7jJF72bKWD5MTCJK3f31sDzP0xSNl1mctws4A9sBSKGP1VAWjuThiI5wPKsFWqKfIHajhQYeJynlalVieKE20GRKmScquKfVTjnH5P5tLwf0ltcdeYJzXeKQ/aRjzNDHPN8onE+FluzIt33EWAMmzLP9klnVyv+PP88/f5E3btNZ7o5FZP02/qc3rJ769NI4OvUaB+yDpsF+8AvM2NOG+h3VWs6BV7dN+RF/84kluKR8/gX1a2J28rEKyhecyIH7u7g02qdDqTLTQ6kJpQwCxkEvIO4dLK1FDjHuzNOr0E6CkYCG78TeeEZuDZmwNv+GVuBriTcBGW6/MEkrmVKM8Yt8SsM8bDq91yK/z5+liEkOMK3rMtQSS+9W6/lB4K88wndQvofq5jmhfIaurCpuTCwvOsgb+7/wGOA5A4PhNkdiM6Q9+LMKjXs+luyMn//0vYXnvgGcqr8Php4zQNu+O07P+4ME2on2KTHmCsBpoFUy6c9cJM7ZXf+BwDJewFOvqgo7ZRjZ2u2n1XqSF0xycKRe7+cIxaCKYDEcCoqq7iUP1hYWvirpvoAKFTwTFG7oK9cWLBpa81AA4CvJwVLBTVwkp0k8GOYpjTk8rnxVDkPq5kCgYPhovX9VO5ZAPOdmITl2Li2y83G81SxLy7RU5yzc1WWax4g+qW41sC3AXcs7F9YPhw5Ff3sMA2f7rGyzZTvqAPsCKCUtGBZeNsl9Aou5OfXhjp7tnsMrhrjHftKQ/jDCxvYuuGucg507ZnYZJbp2jntcftwQdajCHCkr4um4GhrWi3Dk8ohFpjFeYRr2BZwjTWxPMLfGjKUhvf8D4RJ6gztV/Yps6LwtdGGKQmJeqFyUep+MX3VigYyzh5ccV8ghiQR/qVRPfqJDfweH4HHiEZzw+u4jLLBuxQpeUvDRBV0rtp5FbzbAYeV216YrCuaDyS+EnEC9oMSGdEyqkEkYHuKoK0X7BSubcOtuyj6r3+tAiFd3hdz85F576GdAa1HdEG9ACRZPCsQ0whq2iHs4v5xVKFXxZ6EMwohNnSO2ZAqXcMdFG2T9qeG6Lxf/xzsWPOoTlFAGgUFTaf9Nn2tcxeIMbob5iON32qAgeZHq7UHDexuHcLaA6X3fUTx4OYRyfgmz/w88cNxOCmVuZHN0cmVhbQplbmRvYmoKCjMyIDAgb2JqCjw8L0xlbmd0aCA2OTYvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjabVRNb+IwEL3nV3gPldoDxR8kgQoh2QmROGxblWq1V0hMNxJJUAiH/vv1GxOsVj0QTZ7fzLzxC3P363U70VW3txP1yNmbPXeXvrST7PfuFN3d5V15aWw7PFtb2Wo8PT+x174rt3Zg99km37T18ODIm7Y8Xio7sn4mGftRt4GCPuz+3f6dlE1TCznZX+rjULcTDvJ7PRwd6cdz5kD2FWSU9Mf257prn5h45Jw7YN1WWddgjHM0vUph01HcoW6r/qqH7aEuEpJVdTlc3+hZNu4+kLz9PA+22bSHLlou2fTNHZ6H/pM0PkTTl76yfd1+sPuv0tzR9nI6HS1kMB6tVqyyB1fRzf+8ayyb/jjjjfP+ebJM0rvwusqusufTrrT9rv2w0ZLzFVsWxSqybfXtTHKfsj+M3NRx+RwPpeOVAwziNQFGOECgmog9kABAivApJgewAKAJyDgA1BC5BxSAwsVSeCB1gES6XBBqMgBIl4YAqqHQVoHBuQIwQ3pMXfgMwmKwY3SRSQIdCRipZyRgaHTRizCcxlxGhOGMAjAPwxmkGxOGc+ockIfhDGpkPAyXSQDqNpy79fF6Z/Pxust/u/7qDFcLpHHIkJKjK5cenyP2lRYG8czHa8TeAg0NLoliqnOdj3LpFoWkmgXhBeYWxOeGYu9tjlj6voRL3zfHtUjfN0cd6fsWhPu+bmIXpz4mDmrK2JC15HWcga+8GRL6lfEx3FaZ95Xi3OMF4rXHiU91JNWfcX9X6BtTLyUxe1z4GHhCHCGAp9RLKGhIqZdU0JbmnoO7SqkOz4HPr3YC19zrwT1rEfzSMvilVfBLz4JfOg5+6ST4pdPgl9bBL50Hv4wMfplF8CsTN7/oy6IvCf9s7KHb0igvfe/2CS0rWhNYEHVrb/vs1J2QRT9ahOPmxdtLEf0Ho/uDzgplbmRzdHJlYW0KZW5kb2JqCgozMyAwIG9iago8PC9MZW5ndGggNzM5L0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42m1VTW/iMBS851d4D5XaA8V2SAJVhGTnQ+KwbVWq1V4hMd1IkKAQDv336/EjeNn2ABo/j59n7MHc/XhdT1Tdbc0kfOTszZy6c1+ZSfZzcwzu7vKuOh9MOzwbU5t6nD09sde+q9ZmYPfZKl+1zfBgyau22p9rM7K+J2nz0bSegn3Y/bv5PakOveCT7bnZD0074eC+N8Pecr6bZrbGbmrMLfll+lPTtU9MPHLObaFo66w7wMMpmF50sOmobNe0dX8Rw7aQFgjJ6qYaLiP3XR3sYWDx+vM0mMOq3XVBmrLpm508Df2nU/gQTF/62vRN+8Hub5TZmfX5eNwbqGA8WC5ZbXa2ofX+vDkYNv3O4JXy/nk0TLqxIFVVV5vTcVOZftN+mCDlfMnSslwGpq3/m0toxXY3UhNL5XN8hSpaBqkMLZYxCtxiW8BkqKkwt4WwtDiigsVBGguLE+UKFgdpgskkQyMu0EOhh1pcd7G6RgXJfFRU/dn0F+08XGAZR2MpeQwsqQ4FPCSsgWeEC+CIduDAMWHX57KzWwudUkjXk0zEMT4YZ368wDj34wzj4h/+yClva+AJ50GEOAsBD/YkE2BJXOgTzgPXM2DnQWaO4zzIHFoFXYPCIYuE6gp4Tmsdx3njuePQHRTwIpw3EcG/IF+l45OnzHEK4khg8uH2lYJuG/qlpGvMgRPC8B1STwVOSD1DcEI6Iw090SUCOJOIOBE4UUF+oSEqyRd6xpz40JDkVAc/IX6OPgnpdHepOOnEeSrhc6Okz40KfW7UzOdGRT43Kva5UYnPjVI+N4qyoqBHXbw7fu7zpIrbPKnyNk+a3+ZJi6950vJrnnTo86RnPk868nnSsc+TTnye9NznSS98nrTyedLa50lnPk8693nShc+TLn2eMu7zlAmfp0z6PGWz6525X777peNtwjt6ffWqc9/bB9E9tu6hwxPXtOb6Hh+7I1a5j3vIx78NjF7K4C/x86hQCmVuZHN0cmVhbQplbmRvYmoKCjM0IDAgb2JqCjw8L0xlbmd0aCA5MDAvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjabVVNb9s6ELzrV7CHAOnBNT8kUi4MA6RkAzn0A03w8K6OxOQJiGVDtg/594+za5ttkUOM1XC5Ozschneffj7OfL9/jjPzRYpf8bg/T12cNd+2h+Lurt13510cT99j7GN/XT1+FT+nffcYT+K+eWgfxuH0OSU/jN3buY/XrI+TQnwdxpyCPuL+Kf4763bHdyVnz+fh7TSMM4nkp+H0lpI+XBcJFH+Cgjb9E6fjsB+/CvVFSpmA9dg3+x3GOBbzCxUxv5J7GcZ+uvARz2BXKC36oTtdvui32yU9sPnx/XiKu4fxZV8sl2L+Ky0eT9M7cfxczH9MfZyG8VXc/0ktLT2eD4e3CBpCFquV6ONLqpjm/77dRTH/cMZbztP7IQpN34p5dfs+Hg/bLk7b8TUWSylXYrnZrIo49n+tacdbnl+uuXXKlU360XpRrYql0ilWhoDaAigBVATYEoAF4AB4vwHgAQTeogGgnmp5iwewBrAhwAHQ1ACVtVoYANTAMuAAUD0iplpkGNQwXMODR6lSXKG3lCkulhUyKs7QqGEhhFW8BcQshrPU20jwsKBgKwZqANDDLgC4NQAHTs6xQOjisOjQVkstE+ABeJ8l9JjcMw+aJaBBsFnTgHqhzpoG1Ag+axpQI6yzpgH1Gpk1bTBXo2+apsO+nmqtrqfc/bedLobQWqGOVCRYAC+pKW4p5iNXFJeEbyjmk2/AUlreCxkkS6JwNJKOWrYtYuJcrTGm3LBK5AnmUCJH8ZFY1FGsgmkQLzgHumvJXoDCWnGMOlpzjL2aOZRkoJqtQvkLjinfc0z5Le8FN73meIGYz0qBm6G+0mCvYZ7JvSlmpckkhrWSATGZuApk0YpjqkNaGUP5PKMEN8MzSspn83rMbvj+SBjIsO0V4cxZgX/JmhjkVJyvYYWK76/GLBVfuxqcLZ+XA0/rOAY3y30d6ttLHdS03JdMbLlvS/Ga8ivKZ61KzOIuvgIHR1p5A/O6i1bwj2OtNDi4ku8EvOTYV3T5Xc06UH5gj+GMHPGxlnJajnEubs0xXccNx+BT/+YZL6kO31CV/e919r832f++zP73Vfa/t9n/3mX/+zr7P8js/6Cy/4PO/g8m+z+U2f8hZP+HJvu/MXmWprzNSLecbjX+ueMpur0b3Xma0pNC7xW9FHgjhjHenrTD/oBd9Edv4fXxxdePTfE/rljqHgplbmRzdHJlYW0KZW5kb2JqCgozNSAwIG9iago8PC9OYW1lc1soRG9jLVN0YXJ0KTExIDAgUihwYWdlLjEpMTAgMCBSXS9MaW1pdHNbKERvYy1TdGFydCkocGFnZS4xKV0+PgplbmRvYmoKCjM2IDAgb2JqCjw8L0Rlc3RzIDM1IDAgUj4+CmVuZG9iagoKMzcgMCBvYmoKPDwvVHlwZS9DYXRhbG9nL1BhZ2VzIDE1IDAgUi9OYW1lczw8L0Rlc3RzPDwvTmFtZXNbKERvYy1TdGFydCkxMSAwIFIocGFnZS4xKTEwIDAgUl0+Pj4+Pj4KZW5kb2JqCgozOCAwIG9iago8PC9Qcm9kdWNlcihwZGZUZVgtMS40MC4yNSBcKENyb3BwZWQgYnkgcGRmQ3JvcE1hcmdpbnM+PTIuMC5cKSkvQ3JlYXRpb25EYXRlKEQ6MjAyMzEyMDkwOTUxNTArMDEnMDAnKS9QVEVYLkZ1bGxiYW5uZXIoVGhpcyBpcyBwZGZUZVgsIFZlcnNpb24gMy4xNDE1OTI2NTMtMi42LTEuNDAuMjUgXChUZVggTGl2ZSAyMDIzXCkga3BhdGhzZWEgdmVyc2lvbiA2LjMuNSkvTW9kRGF0ZShEOjIwMjMxMjA5MDk1MTUwKzAxJzAwJykvQ3JlYXRvcihMYVRlWCB3aXRoIGh5cGVycmVmKS9wZGZDcm9wTWFyZ2luc1Jlc3RvcmVEYXRhKFtbMC4wLCAwLjAsIDYxMi4wLCA3OTIuMF1dKT4+CmVuZG9iagoKeHJlZgowIDQxCjAwMDAwMDAwMDUgMDAyNTYgZiAKMDAwMDAwMDAxNiAwMDAwMCBuIAowMDAwMDAwMDM3IDAwMDAwIG4gCjAwMDAwMDAwNTggMDAwMDAgbiAKMDAwMDAwMDEwNyAwMDAwMCBuIAowMDAwMDAwMDM5IDAwMDAxIGYgCjAwMDAwMDAxNDggMDAwMDAgbiAKMDAwMDAwMDI5NCAwMDAwMCBuIAowMDAwMDAwOTE1IDAwMDAwIG4gCjAwMDAwMDEwNjYgMDAwMDAgbiAKMDAwMDAwMjAxOSAwMDAwMCBuIAowMDAwMDAyMDc1IDAwMDAwIG4gCjAwMDAwMDIxMzAgMDAwMDAgbiAKMDAwMDAwMjI3NyAwMDAwMCBuIAowMDAwMDAyNDI0IDAwMDAwIG4gCjAwMDAwMDI1NzIgMDAwMDAgbiAKMDAwMDAwMjYyNSAwMDAwMCBuIAowMDAwMDAyODc1IDAwMDAwIG4gCjAwMDAwMDMwODcgMDAwMDAgbiAKMDAwMDAwMzE2NCAwMDAwMCBuIAowMDAwMDAzMzA0IDAwMDAwIG4gCjAwMDAwMDM1NDMgMDAwMDAgbiAKMDAwMDAwMzU4NSAwMDAwMCBuIAowMDAwMDA0MTYyIDAwMDAwIG4gCjAwMDAwMDQxOTMgMDAwMDAgbiAKMDAwMDAwNDQ4OSAwMDAwMCBuIAowMDAwMDExODUxIDAwMDAwIG4gCjAwMDAwMTIwNjEgMDAwMDAgbiAKMDAwMDAyMzQzMSAwMDAwMCBuIAowMDAwMDIzNjU2IDAwMDAwIG4gCjAwMDAwMzEyNDYgMDAwMDAgbiAKMDAwMDAzMTQ2NiAwMDAwMCBuIAowMDAwMDQ3NDA0IDAwMDAwIG4gCjAwMDAwNDgxNzAgMDAwMDAgbiAKMDAwMDA0ODk3OSAwMDAwMCBuIAowMDAwMDQ5OTQ5IDAwMDAwIG4gCjAwMDAwNTAwMzggMDAwMDAgbiAKMDAwMDA1MDA3MyAwMDAwMCBuIAowMDAwMDUwMTgwIDAwMDAwIG4gCjAwMDAwMDAwNDAgMDAwMDEgZiAKMDAwMDA1MDUyMyAwMDAwMSBmIAoKdHJhaWxlcgo8PC9TaXplIDQxL0luZm8gMzggMCBSL1Jvb3QgMzcgMCBSL0lEWzw5OTdFRDBDQTU2MzAxMDA4OUFGRURBQzVGNTUzNzBFRj48QTNGRkY5ODY3Q0IzMjFFMTcwOTEzNjQ5RDM4RTQ0NDg+XT4+CnN0YXJ0eHJlZgo1MDUyMwolJUVPRgo=" | https://arxiv.org/abs/2303.00743 | arxiv | 2023-03-02T02:23:05 | |
An example of $3$-ary cloning in the symmetric groups. Here we see that $(1~2~3)\varsigma_3^3 = (1~4~2~5~3)$. The arrow getting ``cloned'' is dashed, as are the three arrows resulting from the cloning. | \documentclass[reqno,12pt]{amsart}
\usepackage{amsmath,graphicx,amssymb,amsthm}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzpicture}[line width=0.8pt]
\draw[->] (0,-2) -- (1,0); \draw[->] (1,-2) -- (2,0); \draw[->,dashed] (2,-2) -- (0,0);
\node at (3,-1) {$\stackrel{\varsigma_3^3}{\longrightarrow}$};
\node at (0,-2.25) {$1$}; \node at (0,0.25) {$1$}; \node at (1,-2.25) {$2$}; \node at (1,0.25) {$2$}; \node at (2,-2.25) {$3$}; \node at (2,0.25) {$3$};
\begin{scope}[xshift=4cm]
\draw[->] (0,-2) -- (3,0); \draw (1,-2)[->] -- (4,0); \draw (2,-2)[->,dashed] -- (0,0); \draw (3,-2)[->,dashed] -- (1,0); \draw (4,-2)[->,dashed] -- (2,0);
\node at (0,-2.25) {$1$}; \node at (0,0.25) {$1$}; \node at (1,-2.25) {$2$}; \node at (1,0.25) {$2$}; \node at (2,-2.25) {$3$}; \node at (2,0.25) {$3$}; \node at (3,-2.25) {$4$}; \node at (3,0.25) {$4$}; \node at (4,-2.25) {$5$}; \node at (4,0.25) {$5$};
\end{scope}
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2303.02533 | arxiv | 2023-03-07T02:13:25 | |
The distribution of the two used datasets across various categories. The first figure is the complete dataset of 5,703 websites, while the second is the currently active 620 websites (new). | \documentclass[10pt,journal,compsoc]{IEEEtran}
\usepackage{amsmath,amssymb,amsfonts,chemarrow,balance}
\usepackage{xcolor}
\usepackage{pgfplots}
\usepackage{pgfplotstable}
\usepackage{pgfplots}
\usetikzlibrary{patterns}
\begin{document}
\begin{tikzpicture}
\begin{axis}
[
ybar,
enlargelimits=0.07,
ylabel={Percentage},
symbolic x coords={Business, Education, Adult, Entertainment, Illegal Content, Media, Tech Info, Shopping, Sport, Uncategorized},
xtick=data,
x=0.7cm,
bar width=2.8mm,
legend style={at={(0.3,1.05)},anchor=west, legend columns=2},
xticklabel style={rotate=30,anchor=east, align=right},
grid=both,grid style={line width=.1pt, draw=gray!10},major grid style={line width=.1pt,draw=black!10}
]
\addplot[color=black,pattern=crosshatch] coordinates {(Business,21) (Education,19) (Adult,12) (Entertainment,9) (Illegal Content,6) (Media,2) (Tech Info,5) (Shopping,2) (Sport,1) (Uncategorized,23)};
\addlegendentry{Complete};
\addplot[color=black, pattern=north west lines] coordinates {(Business,24) (Education,24) (Adult,3) (Entertainment,12) (Illegal Content,6) (Media,4) (Tech Info,3) (Shopping,5) (Sport,2) (Uncategorized,17)};
\addlegendentry{New};
\end{axis}
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2304.13253 | arxiv | 2023-04-27T02:08:37 | |
Band structure of the continuum model Eq.~\eqref{eq_originalcontinuummodel} plotted along the high-symmetry path of the moir\'e mini-Brillouin zone illustrated in the inset. The bandwidth of the band closest to charge neutrality exactly vanishes when the coupling strength $\alpha = V_1 / |v q_0|$ reaches the value $\alpha^* \simeq 0.586$. | \documentclass[amsmath,twocolumn,pra,longbibliography,superscriptaddress]{revtex4-2}
\usepackage{amsthm,amssymb,amsfonts,graphicx,verbatim, xcolor,bm,ulem}
\usepackage[utf8]{inputenc}
\usepackage{colortbl}
\usepackage{tikz}
\usepackage{pgfplots}
\usepgfplotslibrary{groupplots,dateplot}
\usetikzlibrary{patterns,shapes.arrows,math,calc,arrows.meta}
\pgfplotsset{compat=newest}
\begin{document}
\begin{tikzpicture}[scale=0.5]
\begin{axis}[
scaled x ticks=manual:{}{\pgfmathparse{#1}},
tick align=outside,
x grid style={darkgray176},
xmajorticks=false,
xmin=-0.04975, xmax=1.04475,
xtick style={color=black},
xticklabels={},
ylabel={\LARGE \(E/v|q_0|\)},
ylabel shift = -0.5cm,
ymajorgrids,
ymin=-1, ymax=1,
ytick pos=left,
ytick style={color=black},
yticklabel style={font=\Large},
scale only axis=true,
width=5cm,
height=\axisdefaultheight,
title={\huge\(\alpha=0\)}
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\addplot [semithick, black]
table {%
0 -0.980392156894743
0.005 -0.98624238778932
0.01 -0.992193705104259
0.015 -0.99824430087486
0.02 -1.00439238090213
0.025 -1.0106361660874
0.03 -1.01697389366587
0.035 -1.02340381834175
0.04 -1.02992421332811
0.045 -1.03653337129446
0.05 -1.04322960522555
0.055 -1.05001124919477
0.06 -1.05687665905561
0.065 -1.06382421305497
0.07 -1.07085231237177
0.075 -1.07795938158468
0.08 -1.08514386907236
0.085 -1.0924042473502
0.09 -1.09973901334664
0.095 -1.10714668862307
0.1 -1.1146258195403
0.105 -1.12217497737529
0.11 -1.12979275839114
0.115 -1.13747778386366
0.12 -1.14522870006745
0.125 -1.15304417822452
0.13 -1.1609229144182
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0.86 0.60039987469354
0.865 0.596132097242956
0.87 0.591990724800773
0.875 0.587978415806861
0.88 0.584097813890587
0.885 0.580351541767391
0.89 0.57674219483489
0.895 0.573272334490257
0.9 0.56994448119456
0.905 0.566761107314528
0.91 0.563724629776314
0.915 0.560837402570118
0.92 0.558101709149014
0.925 0.555519754768951
0.93 0.553093658821061
0.935 0.550825447209993
0.94 0.54871704483571
0.945 0.546770268237345
0.95 0.544986818459902
0.955 0.543368274204804
0.96 0.541916085325632
0.965 0.540631566728524
0.97 0.539515892735817
0.975 0.538570091967364
0.98 0.537795042791295
0.985 0.537191469390345
0.99 0.536759938484628
0.995 0.536500856745658
};
\addplot [semithick, black]
table {%
0 1.45515130472169
0.005 1.45428454412444
0.01 1.45179493402738
0.015 1.44795186691287
0.02 1.44306367932326
0.025 1.43739758522559
0.03 1.43115682573317
0.035 1.42448770657215
0.04 1.41749402750704
0.045 1.410249899967
0.05 1.40280911224829
0.055 1.39521151521574
0.06 1.38748728385249
0.065 1.37965976121356
0.07 1.37174737588307
0.075 1.36376495439741
0.08 1.35572463505441
0.085 1.34763651552914
0.09 1.33950911992739
0.095 1.33134974133992
0.1 1.32316469714164
0.105 1.31495952215832
0.11 1.30673911691377
0.115 1.29850786293033
0.12 1.29026971353475
0.125 1.28202826622149
0.13 1.27378682096468
0.135 1.265548427707
0.14 1.25731592542764
0.145 1.24909197459746
0.15 1.24087908439793
0.155 1.23267963576302
0.16 1.22449590106737
0.165 1.21633006110783
0.17 1.20818421989131
0.175 1.20006041764068
0.18 1.19196064235228
0.185 1.18388684017844
0.19 1.17584092486251
0.195 1.16782478641719
0.2 1.15984029921026
0.205 1.15188932960024
0.21 1.14397374324878
0.215 1.13609541222511
0.22 1.12825622201087
0.225 1.12045807850749
0.23 1.11270291514877
0.235 1.10499270022074
0.24 1.09732944449538
0.245 1.08971520929092
0.25 1.08215211508084
0.255 1.07464235078515
0.26 1.06718818389342
0.265 1.05979197158729
0.27 1.05245617305289
0.275 1.04518336320064
0.28 1.03797624804174
0.285 1.03083768200687
0.29 1.02377068753617
0.295 1.01677847731689
0.3 1.00986447959911
0.305 1.00303236707823
0.31 0.996286089893392
0.315 0.989629913351217
0.32 0.983068461036106
0.325 0.976606764002626
0.33 0.970250316744849
0.335 0.964005140577801
0.34 0.957877854905163
0.345 0.951875756535031
0.35 0.946006906654186
0.355 0.940280224175197
0.36 0.934705582779413
0.365 0.929293906907614
0.37 0.924057258992966
0.375 0.919008906189389
0.38 0.914163349630476
0.385 0.909536293009082
0.39 0.905144520655022
0.395 0.901005649774561
0.4 0.897137719711798
0.405 0.89355858679521
0.41 0.890285110930074
0.415 0.887332152819306
0.42 0.884711447656633
0.425 0.884500695104381
0.43 0.886536530383077
0.435 0.888331525093403
0.44 0.889888951182017
0.445 0.891213922390072
0.45 0.892313301529771
0.455 0.893195561428774
0.46 0.893870607562665
0.465 0.894349572352045
0.47 0.894644592035942
0.475 0.894768576950069
0.48 0.894734985083565
0.485 0.894557607196397
0.49 0.894250369825831
0.495 0.893827160454959
0.5 0.893301677175968
0.505 0.892687303498624
0.51 0.891997007616122
0.515 0.891243264464717
0.52 0.890437998280108
0.525 0.889592543015732
0.53 0.888717617883725
0.535 0.887823315348929
0.54 0.887387762074767
0.545 0.888280200332644
0.55 0.889141403153904
0.555 0.889967586458705
0.56 0.890755455141447
0.565 0.891502140786528
0.57 0.892205148033836
0.575 0.892862308456178
0.58 0.893471740945985
0.585 0.894031817741186
0.59 0.894541135343023
0.595 0.894998489690099
0.6 0.895402855051779
0.605 0.895753366190549
0.61 0.89604930341939
0.615 0.896290080245135
0.62 0.89647523334756
0.625 0.89660441469359
0.63 0.896677385631195
0.635 0.89681632206231
0.64 0.900280068493306
0.645 0.906316232834154
0.65 0.913263786055139
0.655 0.920591793583857
0.66 0.928117241679128
0.665 0.935764003935605
0.67 0.943495158584249
0.675 0.951290560575327
0.68 0.959138149212291
0.685 0.967030133754444
0.69 0.974961148248635
0.695 0.982927286834293
0.7 0.990925566465443
0.705 0.998953611560105
0.71 1.00700946050784
0.715 1.01509144231798
0.72 1.02319809529486
0.725 1.03132811178166
0.73 1.03948029956395
0.735 1.04765355420098
0.74 1.05584683868645
0.745 1.06405916812085
0.75 1.0722895978639
0.755 1.08053721413396
0.76 1.08880112634063
0.765 1.09708046064752
0.77 1.10537435440234
0.775 1.11368195116664
0.78 1.12200239614114
0.785 1.13033483182739
0.79 1.13867839379582
0.795 1.14703220644888
0.8 1.15539537868106
0.805 1.1637669993417
0.81 1.172146132409
0.815 1.18053181177867
0.82 1.18892303556455
0.825 1.19731875979479
0.83 1.20571789137261
0.835 1.21411928014605
0.84 1.22252170990421
0.845 1.2309238880787
0.85 1.2393244338816
0.855 1.24772186454957
0.86 1.25611457928362
0.865 1.2645008403706
0.87 1.27287875083725
0.875 1.28124622780797
0.88 1.28960097050049
0.885 1.29794042147257
0.89 1.30626171929946
0.895 1.31456164026342
0.9 1.32283652580879
0.905 1.33108219134745
0.91 1.33929381033569
0.915 1.34746576513944
0.92 1.35559145267686
0.925 1.36366302758614
0.93 1.37167105774804
0.935 1.37960405486956
0.94 1.3874478240121
0.945 1.39518454637816
0.95 1.40279146288372
0.955 1.41023895205085
0.96 1.41748768072616
0.965 1.42448433651517
0.97 1.43115523539763
0.975 1.43739694924302
0.98 1.44306348048127
0.985 1.44795182511908
0.99 1.45179492979764
0.995 1.45428454405151
};
\addplot [semithick, black, dotted]
table {%
0 -2
0 2
};
\addplot [semithick, black, dotted]
table {%
0.422649730810374 -2
0.422649730810374 2
};
\addplot [semithick, black, dotted]
table {%
0.633974596215561 -2
0.633974596215561 2
};
\addplot [semithick, black, dotted]
table {%
1 -2
1 2
};
\end{axis}
\draw (0.25,-0.35) node {$\Gamma$};
\draw (2.15,-0.35) node {$K$};
\draw (3.1,-0.35) node {$M$};
\draw (4.8,-0.35) node {$\Gamma$}; \end{scope}
\begin{scope}[shift={(3.1,2.5)},scale=0.4]
\begin{scope}[scale=2, shift={(1.3,1.5)}, very thick]
\filldraw[white] (-1.3,-1.4) rectangle (1.9,1.4);
\draw[gray] (-1.3,-1.4) rectangle (1.9,1.4);
\draw[] (90:1) -- (150:1) -- (210:1) -- (270:1) -- (330:1) -- (30:1) -- cycle;
\begin{scope}[red, ->, >=latex]
\draw (0,0) -- (330:1) -- ++ (0,0.5) -- (0,0);
\end{scope}
\node at (0,0) [label={[label distance=-1.6mm] above:{\tiny $\Gamma$}}]{};
\node at (330:1) [label={[label distance=-2mm] right:{\tiny $K$}}]{};
\node at (30:1) [label={[label distance=-2mm] right:{\tiny $K'$}}]{};
\draw (330:1) ++ (0,0.5) node [label={[label distance=-2mm] right:{\tiny $M$}}]{};
\filldraw[red] (0,0) circle (0.05cm);
\filldraw[red] (330:1) circle (0.05cm);
\filldraw[red] (330:1) ++ (0,0.5) circle (0.05cm);
\filldraw (30:1) circle (0.05cm);
\end{scope} \end{scope}
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2305.14423 | arxiv | 2023-05-25T02:00:59 | |
The principal optimally sets an interim deadline $t=S_{0}^{FI}$ under full information: given that the first stage of the project has not been completed by $S_{0}^{FI}$, it is optimal to stop investing at $S_{0}^{FI}$. | \documentclass[12pt,english]{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{color}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[unicode=true,
bookmarks=false,
breaklinks=false,pdfborder={0 0 1},
%backref=section,
colorlinks=true]{hyperref}
\usepackage{xcolor}
\usepackage{tikz}
\usepackage{pgfplots}
\pgfplotsset{compat=newest}
\usepgfplotslibrary{fillbetween}
\begin{document}
\begin{tikzpicture}[xscale = 2,yscale = 1.3,domain=0:3.2,samples = 200]
\draw[thick,->] (0,-2.3) node[below]{$0$} -- (3.5,-2.3) node[below]{$t$};
\draw[thick,->] (0,-2.3) -- (0,1.2);
\draw[thick,red!50!black] plot (\x,{1- exp(\x - 2)}) node[left,above]{};
\draw[thin] (0,0) -- (3.3,0);
\draw[ultra thin,dashed] (2,-2.3) node[below]{$S_{0}^{FI}$} -- (2,1.2);
\draw[ultra thin] (3.2,-2.3) node[below]{$T$} -- (3.2,-2.3);
\draw[thick,red!50!black,-stealth] (1.5,0.55) node[above]{
\begin{tabular}{cc}
$V_{t|1}^{FI} \lambda$, expected benefit \\
of investing at $t$ \\
\end{tabular}
} -> (1.7,0.33);
\draw[thick,black,-stealth] (0.95,-0.2) node[below]{
\begin{tabular}{cc}
$c$, cost \\
of investing at $t$ \\
\end{tabular}
} -> (1,-0.05);
\draw[black,-stealth] (3,0.21) node[above]{
\begin{tabular}{cc}
interim \\
deadline
\end{tabular}
} -> (2.1,0.1);
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2210.08294 | arxiv | 2022-10-18T02:10:13 | |
AVP performance with safety envelope. The dynamics ODE and OCP are accurately solved using the SOCSE approach and scale better with high order (Black: Pseudospectral LGL degree 5, Blue: SOCSE (our)) | \documentclass[conference]{IEEEtran}
\usepackage{amsmath,amssymb,amsfonts}
\usepackage{xcolor}
\usepackage{tikzscale}
\usepackage{tikz}
\usepackage{pgfplots}
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\usetikzlibrary{shapes.geometric}
\usetikzlibrary{calc}
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\usetikzlibrary{intersections}
\usetikzlibrary{decorations.fractals,spy}
\begin{document}
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at={(0cm,6.63cm)},
scale only axis,
xmin=3,
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xlabel style={font=\color{white!15!black}},
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ylabel style={font=\color{white!15!black}},
ylabel style={font=\small, align=center},
ylabel={Computation\\time (s)},
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table[row sep=crcr]{%
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6 5.2044129\\
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ylabel={Cost deviation\\(\%)},
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6 0.241650569914594\\
7 0.0685335586244858\\
8 0.074601156755414\\
9 0.0421207015102677\\
10 0.0157751904902296\\
};
\addplot [color=blue, line width=1.0pt, mark=asterisk, mark options={solid, blue}, forget plot]
table[row sep=crcr]{%
3 0.060270471841585\\
4 0.0465730053034968\\
5 0.0349080808226317\\
6 0.0215368461850221\\
7 0.0336499597337984\\
8 0.027705977759126\\
9 0.0177949745566421\\
10 0.0206574834069501\\
};
\end{axis}
\begin{axis}[%
width=7.0cm,
height=0.878cm,
at={(0cm,1.657cm)},
scale only axis,
xmin=3,
xmax=10,
xlabel style={font=\color{white!15!black}},
ymin=0.0893035099547849,
ymax=0.398731301293927,
ylabel style={font=\color{white!15!black}},
ylabel style={font=\small, align=center},
ylabel={Max control\\deviation},
axis background/.style={fill=white},
axis x line*=bottom,
axis y line*=left,
xmajorgrids,
ymajorgrids
]
\addplot [color=black, line width=1.0pt, mark=asterisk, mark options={solid, black}, forget plot]
table[row sep=crcr]{%
5 0.259540024744117\\
6 0.353115381307972\\
7 0.179759865685501\\
8 0.202424918628642\\
9 0.157959216843475\\
10 0.0893035099547849\\
};
\addplot [color=blue, line width=1.0pt, mark=asterisk, mark options={solid, blue}, forget plot]
table[row sep=crcr]{%
3 0.398731301293927\\
4 0.185178533454216\\
5 0.174499956200978\\
6 0.174499638665714\\
7 0.174499919641941\\
8 0.17449994927339\\
9 0.174494074501583\\
10 0.171202323875344\\
};
\end{axis}
\begin{axis}[%
width=7.0cm,
height=0.878cm,
at={(0cm,0.0cm)},
scale only axis,
xmin=3,
xmax=10,
xlabel style={font=\color{white!15!black}},
xlabel={Polynomial and spline order $\mathcal{O}$},
ymin=0,
ymax=0.02,
ylabel style={font=\color{white!15!black}},
ylabel style={font=\small, align=center},
ylabel={Max ODE\\solution error},
axis background/.style={fill=white},
axis x line*=bottom,
axis y line*=left,
xmajorgrids,
ymajorgrids
]
\addplot [color=black, line width=1.0pt, mark=asterisk, mark options={solid, black}, forget plot]
table[row sep=crcr]{%
5 3.38484505908732e-05\\
6 0.000239322272810205\\
7 0.000121164959139275\\
8 0.000123674273060786\\
9 0.00014968703230385\\
10 0.000155654882767364\\
};
\addplot [color=blue, line width=1.0pt, mark=asterisk, mark options={solid, blue}, forget plot]
table[row sep=crcr]{%
3 0.0189434286846901\\
4 0.00276172657311688\\
5 0.000597805242252059\\
6 0.000228650755912219\\
7 0.000166851395027673\\
8 0.000157128546760893\\
9 0.000157125902920302\\
10 0.00015566976854936\\
};
\end{axis}
\begin{axis}[%
width=8.4cm,
height=5.108cm,
at={(-0,0)},
scale only axis,
xmin=0,
xmax=1,
ymin=0,
ymax=1,
axis line style={draw=none},
ticks=none,
axis x line*=bottom,
axis y line*=left
]
\end{axis}
\end{tikzpicture}
\end{document} | 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fFVQWpNGq1zVwHeScEadHYIwKRZZsHEdpV/LHBBOLDr3n8DACkxGShgP3r6tiyY6OuJCdk8dRirFDUnLpOWCPFFROMq4Ebk6l3h9YPCiTxJExmGp8NF7IHtXYISm59Bx4KMfnKI6M4SkFmtbakTGw0QvbzR9A+QEvDoyRsT8vVpOvj5lo65WW8TBtlDbyoIk2NklVFZLrMn/zgybFKA6alOQnxA6D/SXgyeOyyXiC1pFga2XnTU+Yt2CbWkcFhSJ1lVXgf7753yJ1/PL1zdd3ReKYpRcmcKxUkO5dqprp8uD+ZSpkRsT2NI4qC1xnXUAey6Y/zmLDnUWOAMsyC9OKCo8TOTAdDvDg/l/l+AdXOcChyhusyNguQso0V/OrsDJNxPVYQnZRpZUOW6zPoXUYFQ7EjooYqh0VM5Q7KuZA7yDUWPAg1FjxINRY8qiop9Rka+VF99hr4+Wyq90WZidP9tv3ZZQPfaP04XF15eNY+iDQWPpgWW1KH/qM9qFvEz/GdAqoY7MnfmyT4eKHPlY/9I3yx5hNRXV0duWPHT5N/tBn9A99kwAyZjNjOi47AsgOEyaA6DMKiL5RAhmyIVTHZ1cC2WHEJBB9SgPRN4ogY0oV1VHaFUH2KDERRJ9SQfSNMsiYU0V1nHZlkD1OTAbRp3QQfZsQMqRUQR2jXSFkjxETQo60A5iLrL8tVu4DDt00jJUT5oW1A1aUVayciA4qAwN59sbKiPj2hB5XRsW8sHDAirIWDhrVkZCCb7KGW+sj4dUmB/VRMM9UH3a3PlpRNoSUxvXuQgrsZ7Mpd/EsuzONb41aL5UUE30UF1hlvBREHvYuL/xu3Df8SBWFGLGdSZyi1r7fmQRYVZnQH3AvNnHPMgMuDLiRha/BWMOnjUHAgKR7IRUFiqNUuR5mMcI4SVUgWtQRB0YR3NQGUgTXH05pRg6kxPJVcJhZTYh9HHSO15TroxZxBPUpcHS9OIJRVCtCps3YISn5WkYxyeooZRQTkklSRjF1+8xEFBOz81JEKUYhopjleAWTA7UKRrwBDp4ma7rWooU3of2yVytlRMPPJNWWYuxjppRehkLn9+ZD6DezsDTQLooAZ3k/v49vllNWrgeSsUPW1CsJhR264OJnO3rBpZF2rGKJb/LzFwv0uontD2HcW0jhiuH8OxMLqyzCpUKSSrhSKE0c1suE5LU8eK06ZMmUYby7kl9TSxLGNKu/m9USGEu6jv8GIlsDUSohqTiMSaj+aEnCK7T6W+4imIAGdxK4S63nvBqMbAxGKYUrKc/tT6/Nz9W9f5iTp/7sWnmK63Bk4zhKK70I49zdzufoxn1yDoz14hwY7wXJiC/InnonnrTns7v52vObc+DPb86BP78h+fMbUjyfRb+Sz0Hc24XPr68wLM5hzsF5KbAm71eabar62IKjxNKLoMbmkpexTQ85hd4z4KbHBuEYPC4YtThnQsYOSckfIaeg53XuRkEFtzzJu6Gg4gNgdBSCyk+fP3398vnDLKn4Ca92e6ymwp691lQWdgNVBXWI6yJEPKxEiuuibtxPVcFNwtXg+x2PlFUw4ZLu2WWVEPuFdfn9FmGlXkk3UlbEC0Lb0koBHWgrIZ4SVyrsSF2Rx7J35JUQT+krbX58zmMkeG+Tkd8YISOF3c3knLPiYsFmJRTs1EKQa6FqlH3i8fTO3/xlDm/+Midu/jInbv4yp27+Mqdu/jKnbv4yp27+Ms99LIX1EvrroI80aWa/hzTIfv/ov1Sy0zueIvC0rF5Q4VFxgg3+gcJTQQcKz5LVt1N4hnSqeMPZ7Co8m2TurfAM2ZB2w+nsKzzbfO6q8AzZFPWGc9lTeLaZ3F3hGbFp2g3ns6/wbDO6v8IzpETaDae0r/DsULq/wjPkRNoN57Sv8OxwurvCM6JE2g1ntK/w7DA6pfCwsy63HnbxeLeQPvg2BoHGh11YVpuHXY4UK7w4y9woShg15QNNokCeSZLwe5JEK8hakWg8B22LY9Xd2rQmTjqYg6atoPF3XFhW6xvPWllHihO+fHur4mRxyXzQuhWz0HmZ5l2KsqE4Na4v/RkYDz69BhUGLVxB4w/bsKyOPwPTM8LL+9O8knxyl50vT8N1irMYmty+1pBQBKKLDfVOK8YmKtM4z7AhydGmucPMISI8ybC+ItEyXJg/srGnyMoyCXdequa61M3jNcjdWMlJFRKjV+VcBn8xP8fVTQkapqRVxEJ7m1Y3IegUzOo1QJi5Qnq0CmknH20vQ+IEGKIM1kRns7xTHY+RrL7yaVRcf9RTwzp89Q3PxdjTiPpldEgUgrxyTnzzQ9l6gxn75oeyySbx0Y/snbgirxm7j36UtOuvfoTspBY94Zv7q1MWuX7nhH/1I+T6qRP+1Y9iFOc28vK1E/bVD/wcCO7T+zAZfjfEWnHHFBijEtoifjXE+XrUsEGbtb+Oqmaw+u4Hnt9LQdxGhWUI9agHO2kBg0GLj/PMTzNWSJHNKs5vlAxWpzKgDCoYcRUVlCGmeu8e/6ZHMl5IjPg08ZWQYpLfCJmTbiiRMackr9Sfx7NdnbRIOYeVEplU/exSp0QWqzy/kao08S2USI37gqKOzr/jwYhgM5cYYSaPSutOYoSNbKynOaWJwyipuOsOA1mmUyJhJWCy7ZVIB/7NKqZEYgBMuV6JJFsDUar1d4QM3hwpfEqkwzvMp0SntPyQkPH1C8DcpxRj51NK2rVPiTAOtfQpsb5ozX1KWruUqHW00qUUo3ApadujxOTqp7aYRzHzmx7Coxhl88qhwJALbuVQilU4lDn9hj+JOSq98icpyTNe+GE3ndbuRNU7XXt3MlulO8k6bXmTpQTcm7QScG9CJeicSStB509aCbhLYSWQHsVueZSw5VHypkfxmx7Fb3mUfEKYtDDaYWZHfdI/8v4EXPHM4W6N8e5lgerCZKFOry7jUfbMVUq2QK0oAs1Lxt9+/vB/nz5/fP/mQ1Er33x6W8+B/fnD+0/1u0Kfv7x996UsPsWSN+OrLrT8/M28/CTefBkqniyXoaVClvrYu50cVj94xx0MOX+DnItfR4Nd0hTYFyrlZ5gMRqrwJSzlhZz7m3/79SzlXvFqzdx9iOmXzx/+Msu4M/Ddly+fv2wpungWdnl8r+giw4XgQNEV2unDQB99YUF3nP5InG1Z8cumbcJLnrWjTcdigBEIQ9qVd4jmR3JD23bwWlszaH+irrr38+9ruVUDCmVuZHN0cmVhbQplbmRvYmoKCjcgMCBvYmoKPDwvVHlwZS9Gb250L1N1YnR5cGUvVHlwZTEvQmFzZUZvbnQvT0hBU0FDK0NNUjEwL0ZvbnREZXNjcmlwdG9yIDI1IDAgUi9GaXJzdENoYXIgNDgvTGFzdENoYXIgNTcvV2lkdGhzIDIxIDAgUi9Ub1VuaWNvZGUgMzUgMCBSPj4KZW5kb2JqCgo4IDAgb2JqCjw8L1R5cGUvRm9udC9TdWJ0eXBlL1R5cGUxL0Jhc2VGb250L0JQQlpNUStOaW1idXNSb21ObzlMLVJlZ3UvRm9udERlc2NyaXB0b3IgMzMgMCBSL0ZpcnN0Q2hhciAzNy9MYXN0Q2hhciAxMjEvV2lkdGhzIDIwIDAgUi9FbmNvZGluZyAxOSAwIFIvVG9Vbmljb2RlIDM5IDAgUj4+CmVuZG9iagoKOSAwIG9iago8PC9UeXBlL0ZvbnQvU3VidHlwZS9UeXBlMS9CYXNlRm9udC9OVkNIV1QrQ01TWTEwL0ZvbnREZXNjcmlwdG9yIDI5IDAgUi9GaXJzdENoYXIgMC9MYXN0Q2hhciA3OS9XaWR0aHMgMTggMCBSL1RvVW5pY29kZSAzNyAwIFI+PgplbmRvYmoKCjEwIDAgb2JqCjw8L1R5cGUvRm9udC9TdWJ0eXBlL1R5cGUxL0Jhc2VGb250L0NVSkhORCtDTU1JMTAvRm9udERlc2NyaXB0b3IgMjMgMCBSL0ZpcnN0Q2hhciA1OC9MYXN0Q2hhciA1OC9XaWR0aHMgMTcgMCBSL1RvVW5pY29kZSAzNCAwIFI+PgplbmRvYmoKCjExIDAgb2JqCjw8L1R5cGUvRm9udC9TdWJ0eXBlL1R5cGUxL0Jhc2VGb250L1BYQkdITCtDTVNZNy9Gb250RGVzY3JpcHRvciAzMSAwIFIvRmlyc3RDaGFyIDAvTGFzdENoYXIgMC9XaWR0aHMgMTYgMCBSL1RvVW5pY29kZSAzOCAwIFI+PgplbmRvYmoKCjEyIDAgb2JqCjw8L1R5cGUvRm9udC9TdWJ0eXBlL1R5cGUxL0Jhc2VGb250L1JLRFVXQStDTVI3L0ZvbnREZXNjcmlwdG9yIDI3IDAgUi9GaXJzdENoYXIgNTAvTGFzdENoYXIgNTAvV2lkdGhzIDE1IDAgUi9Ub1VuaWNvZGUgMzYgMCBSPj4KZW5kb2JqCgoxNCAwIG9iago8PC9UeXBlL1BhZ2VzL0NvdW50IDEvS2lkc1s1IDAgUl0+PgplbmRvYmoKCjE1IDAgb2JqCls1NjkuNV0KZW5kb2JqCgoxNiAwIG9iagpbODkyLjldCmVuZG9iagoKMTcgMCBvYmoKWzI3Ny44XQplbmRvYmoKCjE4IDAgb2JqCls3NzcuOCAyNzcuOCA3NzcuOCA1MDAgNzc3LjggNTAwIDc3Ny44IDc3Ny44IDc3Ny44IDc3Ny44IDc3Ny44IDc3Ny44IDc3Ny44IDEwMDAgNTAwIDUwMCA3NzcuOCA3NzcuOCA3NzcuOCA3NzcuOCA3NzcuOCA3NzcuOCA3NzcuOCA3NzcuOCA3NzcuOCA3NzcuOCA3NzcuOCA3NzcuOCAxMDAwIDEwMDAgNzc3LjggNzc3LjggMTAwMCAxMDAwIDUwMCA1MDAgMTAwMCAxMDAwIDEwMDAgNzc3LjggMTAwMCAxMDAwIDYxMS4xIDYxMS4xIDEwMDAgMTAwMCAxMDAwIDc3Ny44IDI3NSAxMDAwIDY2Ni43IDY2Ni43IDg4OC45IDg4OC45IDAgMCA1NTUuNiA1NTUuNiA2NjYuNyA1MDAgNzIyLjIgNzIyLjIgNzc3LjggNzc3LjggNjExLjEgNzk4LjUgNjU2LjggNTI2LjUgNzcxLjQgNTI3LjggNzE4LjcgNTk0LjkgODQ0LjUgNTQ0LjUgNjc3LjggNzYyIDY4OS43IDEyMDAuOSA4MjAuNSA3OTYuMV0KZW5kb2JqCgoxOSAwIG9iago8PC9UeXBlL0VuY29kaW5nL0RpZmZlcmVuY2VzWzM3L3BlcmNlbnQgNDAvcGFyZW5sZWZ0L3BhcmVucmlnaHQgNjcvQy9EL0UgNzcvTSA3OS9PL1AgOTcvYSA5OS9jL2QvZSAxMDUvaSAxMDgvbC9tL24vby9wIDExNC9yL3MvdC91L3YgMTIwL3gveV0+PgplbmRvYmoKCjIwIDAgb2JqCls4MzMgNzc4IDMzMyAzMzMgMzMzIDUwMCA1NjQgMjUwIDMzMyAyNTAgMjc4IDUwMCA1MDAgNTAwIDUwMCA1MDAgNTAwIDUwMCA1MDAgNTAwIDUwMCAyNzggMjc4IDU2NCA1NjQgNTY0IDQ0NCA5MjEgNzIyIDY2NyA2NjcgNzIyIDYxMSA1NTYgNzIyIDcyMiAzMzMgMzg5IDcyMiA2MTEgODg5IDcyMiA3MjIgNTU2IDcyMiA2NjcgNTU2IDYxMSA3MjIgNzIyIDk0NCA3MjIgNzIyIDYxMSAzMzMgMjc4IDMzMyA0NjkgNTAwIDMzMyA0NDQgNTAwIDQ0NCA1MDAgNDQ0IDMzMyA1MDAgNTAwIDI3OCAyNzggNTAwIDI3OCA3NzggNTAwIDUwMCA1MDAgNTAwIDMzMyAzODkgMjc4IDUwMCA1MDAgNzIyIDUwMCA1MDBdCmVuZG9iagoKMjEgMCBvYmoKWzUwMCA1MDAgNTAwIDUwMCA1MDAgNTAwIDUwMCA1MDAgNTAwIDUwMF0KZW5kb2JqCgoyMiAwIG9iago8PC9MZW5ndGgxIDEzOTgvTGVuZ3RoMiA1ODg4L0xlbmd0aDMgMC9MZW5ndGggNjg0My9GaWx0ZXIvRmxhdGVEZWNvZGU+PgpzdHJlYW0KeNqNdwdUk+uyNoK0IFJEpEpEYNNJaCK9915VQAhJgFCSkIQWiiC9Kb036Sq9gwgoVUCUqnSQIkVF6UXgBnWfc/b5/7XuXVkreWfmmfbOM9/6wn3D0ERICYayg6ujkDghsDBIGqiip6cFBgFBIDFhEEgUwM1tisC5wP/WA7jN4RgsAoWU/g+ECgYOwRF0qhAcAaiHQgK13V2AYDEgWFIafEsaBAKKgkC3/waiMNJAVYgHAgbUEwZqo5BwLIBbBYX2xiAcHHGEPH8fgbxQPiD49u1bgr/cgUqucAwCCkEC9SA4R7grISMU4gI0QUERcJz3P0LwyjricGhpERFPT09hiCtWGIVxkOcTBHoicI5AYzgWjvGAw4DnLQP1Ia7wP60JA7iBpo4I7G+DCcoe5wnBwIEEhQsCCkdiCS7uSBgcAyRkB5po6QIN0HDkb7Dub4Ag8M/lAMHC4H+F++N9HgiB/OUMgUJRrmgI0huBdADaI1zgQAN1XWGcF04QCEHCzoEQFyyK4A/xgCBcIHYEwK/SIUB1JSMghNDhn/6wUAwCjcMKYxEu5z2KnIchXLMaEqaCcnWFI3FYwHl9qggMHEq4d2+RP8N1RqI8kT5/S/YIJMz+vA2YO1rEDIlwc4drqf7BEFSAf+sc4DigBEjqlpiUBBDuBoR7QR1FzhOYeqPhv4zgczWhBz8fNAoNtCe0AfdD2MMJPwAfLMQDDsRh3OF+Pv9p+KcEAIOBMAQUB7SDOyCQgH9HJ6jh9r9lwvwxCC+gJYhAPzAQdP7518mawDAYCuni/W/4rxGLqJhpa+qrCvxp+V9GZWWUF9BHSEwUKCQqAQKCQeJSwFuEg98/4xhCEH/q+A9fLaQ9Cnge7LxewkX9XbPHHxLw/tkQPuA/g+mjCNSFA3n/zXQrkAQISvgC/5/5/svl/0fz8yj/K9P/uyJ1dxeXX3be34D/xw5xRbh4/0EQqOuOI6yBHoqwDMj/hlrAf++uHhyGcHf9b6sWDkJYByWkA4HSQmBxYZD4bz0Cq47wgsMMETio42/a/NabnS+cCwIJN0RhEeePGIIXCPRfNsKWQZ0JjxEsgZu/TRAsYeVwvwZ5LsMJS/XPOtSQUBTsfPtEJSSBEAwG4g0gDJ8gSQB9wIQ1hcG9frEbKCKMROEILkBCz35AexQGcD5oCSmgCJowHRTsXA/4R2yoOwZDSP6LFITEf8u/1hwO94JDARPjKKhMsFN1cMtBpRKrp9DyoCzpZurBHVGhwYL7FLgutWGbhXiTrMxJnWfqE51g9ftObfrKbgfZsx+2fZZqOGq9xfeEONRXHTjsYsfP9i6MJvjss3GO0zQSPbFIVr4uXYzpIjJkj6Jtp1SAOXSZcNP4/lXd8THBk4ehRP2WdkiLfmt7ZUmmLiPbbfMvn4xxTXa9pssSO0x/5XxyfRy0GG0VkaKfzqkj23oIiPesoJ3v6eudputkfxUVqO3xcPk7VyiOTk2ml01VnLzCfDrv8s+cYo+NdHofO40rihuwrudzfMkH1fpbjktbG9Y3eBPbbznaJtpHg7/gD9np0NMMyqmY3PyVSNhUdhgHSUOPfMI+1rwjDaH5erbsE7uzdliIjvfkaMfQ/E93nRQty3fdwbyCevFyp6VLX/zquF/GeNiHEjf/VZlMt6QmwJjJt+5nH5TXzeWSNb3HGzJqIWoplerYYipfNH07uDngDp2YGLUHIrXc7LJI3ece8sK7ez548dO87dZWZZ5Jt4ooZAx9NH6+Zto3veDJ0SZY5E0tNK0qWgXv6bqw51vhtWCt2+OKKvQrw7e4Snyd/0D3KBolDeTIfrreFhkcwyTcHMFZNrXYGb57vZQ4FkZUop/7/GgnkPFtN6qFSAzgURIYfbSBP9kgTgfqA9C1eNJnhldlzIfbHCR78rqoiOUnBM9+yDenGARoi7sqgQZOjMXqx5v4GXp9WgXyGJuX6G/TLYQg3Jff6SUuGSjSOPoJXZnifUT9kMGoN2gt/nF0i9L8TlNOFN9IFevo10stJXKBFMK3n37O3NgRc2Bl2c6Uu8xh2WrDcWZ3hrK5+l2Zzbxg7qj7YT95/ZYFJ8dXZuKl+qyM1/OQrTXUPXWsQRxfcGIB9yZMdKvJM1r/RdmIpvyuqt/ud4qprLiuu0mXW77WVoGd7pUHOZRcJmsD27U2ZWo/g/jatjrGFNs94HvleTdoE2rJA3JK/F59h+iW94ED4EqqI7NJQ0geD+kDP3r0qdDwuv34fSDkeNwG0MXqIo43X9teRRpvz7ex28TAFStq+InxvslxSRYI4YbbA3yPetIylENNHs1hxd49fuycK3g/2i4+/Tu+v4kCQtUfIm6jTLa4foWUfvq4e/AIvCkwNEk3coHmi0VdtWgfGpWpepz5PIKk1Uu+z/6DZs2RJYe1qdreK6d0495IfxGBY6qlJcZ1YHoq7YyL1BL+znQ8unonJyNL84b5/nQgrP5GfYAMTDwv37SQZkJCWnDxyIPhJlTnMf/0uIwA/t1V8jvRFfR4amfgtQKjkTnPLnmIW7ed5DI4RuuoaVCHlidEAf5+bD9OLnzdvqle9ruTzs9HI1zOjS57s9w2O65c1rRptxeFOoNyl685Q3T7H7BMH6aavjME+7wPvMLCgMyNeDSWrT7pY2f6cqDFniz009fcMp8I3eENnvD2dkDfnazbi31F80f73+rm5BUCr0wu1ZrmfuxFfTP2TB9ZkAaEXc+AN20CRLYoI5pX2dleMTF6H39tvOwXnBuGW5m8kxfUzHkrYMsNFzxvf+TXTr8ylMhXGSp10cR45E6S9zV62UxsrahTksH9loWgZlru9kuPzbKaQ+Z95EdjRHJLK56quKLmlkGD3KV+T9BT12CffRwZxeUj6SPJ73uqFn1XhBvtwC53kqxDELC7Q/fnFdvqFCjQlxBiMmzVgcpdTUrs8OPj6z07u5dIhjjLdKBrKzYAwI78zzc/TVFDcgX8bFca3/QfeRcETNxEXyHjSjMbZIMUBVQHZEkYid4Tk2bKamDtlb2rMeQDPjiDmmsxV5JI8tpg9DgPInAhsICAoJln+huhotZQBGRhT3z7TG6T/S0m7YWH91SF433+V5o6E1W+Vjsf70Z4Xqlj0dvIFxPkr+uM9JDwE35WeLvoWmUOpySkpZbuMvzuWrpfLInkU1E/nSDQNxvzSsbBF9HkUwMixZLt/v0RoC1n5fjw7lOXb/Ke8bN31mU/ad6Nqey+6OVB//KKX8CSuhBXBmeGHcMN3jq8s6qRsR1Opqbn8ppTQWNnljPVkj7znnjZCJn4YdrOXM30mZMSf4atw3CY0bOqakreos8y/YGVRtRmHMEqaLvVt4oyBx0qRLfhazzqlrxRgLyfIYexh0UKg0wxGKLIr6ktzTY75SHkdMP2BhQWs++JF0tyStwPQTP7cTHOIvHlPBUSu5feDJcc1o19pAysEprTvWt+75ndF/E72ZYDIPcBJ0Z5tVHn6oDqG3e62nVjW+sPnvTEmaVU7mUsAvXCXI5MNdl6kcOn3hmdcLPu7rOf2BCli9OZkagQMY5BX2sOYIV12tIKK74pcEa/nCeJJVFjzAysWBcqLHKbWKZnSOvC+jt1fCJXUWuA2UcRHWISlw/2kl5u87nslN6Aak+/qoeamiI1/NxHU3ZJzgkVP+9WeaO83tc7lX9L8cqvNnmZSmLlXceHvKbQnG2++lC7nvn6IZkARy+rMyQk15IRPz1gn1oVQJ/ywV6Lf8bSnlmOWI+eUWyEj7vlx9Ny2gS3Z+X1BrykbVZC925EM1/P3tDuAGjysWGM9mLr2I0k9vIfmDLZ6fqJyA9KONN/YdqXM/LMMzi9xSjxM/wmq3TSB8E8MxtGXUOFuLqevmv6KuUrJnp7Y4jNMepJ+aTLdN3v9sOXLy3/EOP/4HTToiNLdV1qNYpra8R3K/tGg3rkXN9AZOMpy9qkboKMzQMAzChZW4urvjm5424v70cmRldjt9Ur+/nalkzx/vbjtCS3BZOfS9Z8umYDPsof8fcEUr3YeMpmIkiqAH6sEERBtT2uNNo15+3C+3BR90LTO9yLXA6STbNY+m9fVinbmZ+7Kg7zMx7HmjLcjp1SayIutDBwEJpMHn8VTVOpuYZeYboM0SS7zklhhS84eU0rMjxyPVjNyZzUJwscsQ0eCDKtSjLXPRmW8LbQ8cUHDG8vpnz3nazHkRc4KcPWQszlyvETYpPtpuPa/i0rltWtdadjYrYnHrmnaCQmyOySnrnFs4w94c9X7grhVtNS1yrLqkXxWWM/4oILicIAsiaSOHCdS+eM7Qu79JVIopxmIq0NxiF2G76se2nbozZwWrXLJjjqQjOoxJe3KguKUQ9RXRK0PV66qm/blFIj6x+cdOkXsb83pgDqRn3NtO/2WhFV5U1+OIDMrZ4cz5xCTMc8ezf0NBpL3THREhP06UgYM0tRSXJ9W83yqRBJ6UnDl93Lq0ElgfiXycuPMeWkNOvzw1yFys+odIlFImM/SzcqM+4Cx2c/8ARosGYPD4LdJUHWWNtAQPxOkm96cwJvFaN4zlwx79p35eoTITrnlhdN2d3JzoULO8cvdK6Xu0bNKM7aFCj9tfKh/V7zSDs9hSCXMZzSdVTVkqQspj0G7d//vfx7BBXZnekEpRMpVyX8xO7nzIuwVn0ZzqU0fyayofiSVvRcy17K1UZmFY2iywEJ+u9zKh91zvnKAHXIv0nStivN7Y/22NoutTpJi1ARXyO6V/M44OzUrIib/0iS1erjdr3yykLCZJxs3/qyYTQXmsSpLKC9e82zAxcigCiZRZQXaD8bzW74OQp8aVbY1f8du3q3OcspxC8PYPUap6myTr7Zd3g9TQSgurAMfNFH6YOAdy5eSiMplX1Swdq6/u7E97WwTwq0MszlAPQoP5y3mHHygQpFqsC3t2yNbBP3Gk/RXECeH7SQYppaLrVn8eqaMa5EfHPXZgvESEtxc8bLiAwXLhC3l/ONE5U06YDba59tBoVe+Dn76w4pfv5a+pq6X0Ou8/5zx4/rfM4VGU0ISim7kbgDRez9awdeGmfCcaEUNBtMBvuh6feivjlVLKozmE63vKcW5IJsBrEYT1UeYe0Ta/MLPlq5BkCdwagqgZUHFGEDK3MXA16prYfZbUYJqpS7bXfwhJ7cubKhlZ/RPZp6EfPSaqr+9cM3Z5+OjeEoW4/4hWYM7Bpa4cu70fKKTPsxlcGrZFVPx5ssSPfQoaPbzmR5QYO9SrkctLwT1npLzB/oaChpGfamY+8Hlg2NGSRVucy8e+8tx7ZTch8voRYdyIznOn3YD/06C+p3NolEP36p9J3YsRiDpQp5GW5Lqv024dQ5qqVpQEPNcZRnVeFqUAgw/8p8OattUtai4u2oG6koK0XdBIhpirUxjuoLDb6t4i8W/lf7ZjKhQmpDLMshCagXpnafZtoklioa2n6+FE1slX/+RcfLTayjcP6NDa6YvSxjLfa975DFB+5wUP6A3IpanGJFc6Lwpuj9eUxNoXQOL7umfCl8ddJwYKZmVKZi/2PPhyfBfq4WmWtCP+r0FpQG8VhbrJ1fbHb0xEkHtlGRwSYB2yJCnJK9qB7eFkxjEK/2+nmKy7eoWUcrDVu7C3uQ61IF6Q1cvLNbvffNxK5UuKXXju5uLm6rkHI+P/Noi2rcdTqlI4pRSM05mu5XYh9pWJEQLsFKt1r3sMpoipaHvKxWcGmrrYYy0C+dEhkW7u/cgFPkT60L4cCPPoqwiPTE2cmGJiVMnzgfiyz7zJGtDSWiMgZzrwQ/fttNsvilUEqDmy4CPdjyZqO7Qe+H9EjSEfLkNRfUJGCDVeLGs/jsZlBS5KdJxZAbyfX+S6qUIzelZC49eLJVe7aNvciec3+9Us5B5XteXG3gjMLh6sYHPLlMjI11QgvGn/B/TzOhIkIE95OqY3tVUuXpLQ2HR02ph29YpWkOleVuc+2S/+jZYOLK4G+QjNs96nXE0OzeCKLkgJfKrPZfDhi26BIugfnva5yC1FIXBimJCmYVwUv1hTFeiMpI82dul+IGGiueJ5bRjqM/OxToX/D0tp4bt8qcxoq6uX47VcgW/lioU3+0J+Ozu2vaJP6QNrQ95/XjYv28zVHaebJW5435Tti81ystRzW5nqDi8ELreGsM0DS+3Y+6+ZvWw+OvGaIzzOU3qQvDLqadrndZUlamAMbioe4n3k1mxoHO8ySxhDeSur4I1udvA9tCg31b7hiO5pq/7OJdw88Orbv6eLx81KGP488Z+JEOpSVSTasaYImnspHBOY/OCmVkrYuzcxcX15OqlxxupjFfOpj5Ws1ygUTJIIe3PBT7xr6Km3f6GD2oOqXJKcpDmiqEjqTS2fSvjLBb3BG7Ieeutm20lphCwbuhKitT41TZ2ddwNDehtXwoimVgz6ufO1aqdQjVSHirb9ITCe0WHf3Z/AFDLxw6s3hrTOXRfRXl3IWo1UoGuRlM7JBt8hZDpotbGa+o9Uxbmj6cNUtnNRFUw/5FoXgYDU7e/0F1PyZ16zLDVTpbQ3+TMw45nZkzBbXDFR3WjAyeGoHtiHyMFZcoJZflh2gRr3G0WCvRxqe7Zk9K3YJI6/iJbXMxwKf7SlRlCWZS3T1dqFh+NPYS2yG1WuGei3OxnSLSSGB7QMY4LhqZHR8h6v0utIIxeKLe7/qLVZ21jzrmpkE3n0uxLERnJ6HVpFs9+7KyhxjVoPRUCTkdpR1yWrtrEcXaPbbf3yTe4TP22pyNX4sl6fSilBgSnnQsuUnRrKrJvJ4zAeolhtb5v2pi1C68tBjauBlYKO12kbG719FbZ6b2VF1G9u5ZzvuQn/4dvlvPG+YoR+mu7JiKYNpOijgqNpU67dZbevJrj5dcSrld8DugdIg/9nOCqqGKvriOVf3M1oqC2s0fxsjh/STO9QXnmzM5O/GKJrlHvtpUfGc7mlYXWckY/AQThz3MFFRl+QL6kzetCzJOCr4lvfgeX/ppdk3jfQ/dqwRSooZ0U65VLb29Be8oonQpRnERPXbfyoa2mzlytpIs3aTEpHE46iuDUs591xF5q2SydodJmTlNFwCLOUzhAtdl5KgzLmpMPXiAl6K9ZYJB84RWc0U47y69VVykqCtKjYLoBYS/Tr7GcLOvGu57nLpjV/HpehrVJZxumNRQFSilL9z33ch6q8F1vjm398u06kk4ymSDHOJ8Oa/qwuYu0qhJ6o9FNitdcmcJtCcCKRXDBreXQ5X8BpieWFEteN+nEZTzsol+9dyM9MXj9rknkgYUYU7Kk4tSCiEKwZ+XVUlfxBDFsVk+2vFWTZxoI3e1KLK5GW8XBTlL9vXko9Oynacp60BAIL6QbuxLIWHtLFM0p1ivkiLPirfiy6+Mn0YeipCRhRC3J6NE9h7jhliovKiStncFBhj5b9Vvar6zOTCS3WECe2ANApqCTC/UTDmPSaTA7mCPkjUfVQXBnC3Qt5bdvI2HZXuuL3hRye0IZXqEX/yp8Y7Br/Ju0zc8NG10p+KdEB+C+Ier+fgcb6luevKihUPU0wunmEE5kSqaNh6wuqmfmvWPFrEnc8Um3Gw8eo3eMfl3VQoSKe0OFxuLYgQolTyv6uQD9l8C2criMinz1SSX2F0sMGGyZOKnB3p9NizWpuFp/n+lelSwHysYeQOc5kPeZxcsJD54RZXqK1QJ1aW9GLxTa3qRLucb3r+Xjo4484xV94gl9NZoYZmGwL32/hzl6Kq5yLZ1uUYKfp6BQNNbz6X8H4TF3kwdnu9uc0l6LcVxtZ6juutlo6P2cUPRq1y2PF6nmDO7ZX5GOV9cNKsgdDgBRN8FcmnYrKx9i5U1b/YkKu0BDyfuP+Hg53iszhy0lSJU0jFVc0j3AI+SCOotnH5eAysloVV7kHDcx9PB8PAjWXdxwcED3SZhBVDtjNDY4qSJrcolooe33OCm6QWMxbJ2hVRoNK66YXa4EmdqYWAbyjb8XVzYwIvLK97rM92PRwd3GplzS/sdpHQ0GGy+gWpuBI6jdvBFFkHfB/oR0j1kFi0CWxdTdGpa2n6Om170/PwU6xZmWtrq+FASM7m+pZvAI21xN7KzJS0OuOjwrKBOFyYfHRFGrEOeQa14LDZm9c1EX1rqST7jXw4X14rmKMwUZvmWRo3tuIeOJ1HRDQGpq/KRktSLnT3+fKmUBvGA50977nhKvBXh7F/wdU4r4YUzc4kwzWo/b9WgapxPuN6z+yqbDaS3i7rpiB4yXePu3Fq+IGScyytfyD94RDlc8qVXVCLcsWV1s9lXS1jC/ZWtkWH+/vhDPtsfT1OMjHrq13h/ku+LJ0gwJdXcLw6aDX7IoDdXgQpnp5DQ4LdVeGusrldCPd8RcDo24LD4aB3dbj85R4wkOSVqlegG08BKC5rivup0btBb6gK8G90oa5Xb67k6FP9iDu+TXLthsTEPGIw9Urta363VtCl5IHisZfqKKyzmdNA7YyLsW8IFzWQ0omnlzBzqmG3N5MIzNfdEvWNGuuk1rUHBGtfN3kiKG6rSJURRdEQh3HzE5AwQpsUMPa+Ek94eThvdlCMFttcwev4j6bBx0Kao9S0v3i/N4miqckOpFn424YseEuzZ2H472d1HNda6RqGgTf6Dep2vSR8EGhTl4cJCk6hnI49XT1WYy5lpLiY/6Q5w6aPd7B6y8mc2FrjK5dGBSlYtTJt0CJ2jOPUOPFzPXYVwhF/6rKqPxKzybw7sleNzyx0PgiYOLAN5irp4wtrPVkZ/ugmXR/UdsLfNvC8Mu9Y5WLjR45Jo7iW2a5r17NIet64dnoXMzgQ/UiuLko4dM3mJ9A++hvD0NRTWGzuOuqrCAinL4HmLqPswXB3mQa7v47PBPSlkGb2YLZQqkNNEL4xSZJtM131UMeivGs42gv6K41PKSd4id6+vy8kcViQWH0HtspZ2lqwz9C/kUVEAi4UYp7yL4roLfOa9DZULp+Wan1yj+zjSio+iQRf2wSt992gas6TFHa70UBlu1bnnW7J8Mn11j15jKGjFEeA+oUj9XA7ESS11FxUOr2bvZltguDmWx8KjeKv641VDzrF3xRM2ejV0ejAaI0veGMVp1rK5ltH3H3gezK/1MLjXSJKT5DO3B5D6heYe0ThNpHhtTH2z+R+xBkd2CmVuZHN0cmVhbQplbmRvYmoKCjIzIDAgb2JqCjw8L1R5cGUvRm9udERlc2NyaXB0b3IvRm9udE5hbWUvQ1VKSE5EK0NNTUkxMC9GbGFncyA0L0ZvbnRCQm94Wy0zMiAtMjUwIDEwNDggNzUwXS9Bc2NlbnQgNjk0L0NhcEhlaWdodCA2ODMvRGVzY2VudCAtMTk0L0l0YWxpY0FuZ2xlIC0xNC9TdGVtViA3Mi9YSGVpZ2h0IDQzMS9DaGFyU2V0KC9wZXJpb2QpL0ZvbnRGaWxlIDIyIDAgUj4+CmVuZG9iagoKMjQgMCBvYmoKPDwvTGVuZ3RoMSAxNTE5L0xlbmd0aDIgODM5MS9MZW5ndGgzIDAvTGVuZ3RoIDk0MTAvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjajbUFVBRaFzZMSUp3D90MQ3dLd0rnAAPDAMPQICChkhKCdCMhKV3SoTRIl7SSgtLx4fW+943/X+v71qw1c/az4+x49hkWBh19Hjl7N1uwkhsMwQPi5RMHKGjqgfgAfHwCvHx8/NgsLAYQBBT8N4zNYgSGe0LcYOL/YaAAB9sgHjBFG8SDnaYbDKDmBQWABAAgYXGQiDgfH4Cfj0/sX4ZucHGAoo03xB6gyQtQc4OBPbFZFNzc/eAQRyfEwzX/OgLY7TgAIDExEe6/3AFyrmA4xM4GBtC0QTiBXR9utLOBAvTd7CBghN9/hWCXdEIg3MWBQB8fH14bV09eN7ijNAc3wAeCcALogT3BcG+wPeB3wQAtG1fwn8p4sVkABk4Qzz+4vpsDwscGDgY8AFCIHRjm+eDhBbMHwwEPlwP0VTUA2u5g2B9jjT8G3IC/ewMA8YL+Cfe39+9AENhfzjZ2dm6u7jYwPwjMEeAAgYIB2koavAhfBDfABmb/29AG6un24G/jbQOB2tg+GPyVuQ1ASU4XYPNQ4N/ledrBIe4IT15PCPR3icDfYR66/ARmr+Dm6gqGITyxf+enCIGD7R7a7gf8M1kXmJsPLOBvwQECs3f4XYS9lzvQEAbx8AKrKv5t8gBh/xtzBCMAQnx8fCJiAgCwBwDsa+cE/B3ewM8d/JcS9Bt+qCAowN3NHeDwUAQ4COIAfvjBDvC08QYDEHAvcFDAfyr+W8IGgQD2EDsEwBbsCIFh/zv6Awx2+CM/DB8O8QWY8T1wDwTg+/3552TxQC97NxjU79/mf80XqK0ipy+nwPWn4n908vJuvoAAHkE+AA+/EB8A9JtkIg+HoP8Oo2MD+TuN//BVhTm4AcT+ZPvQpn9l7P03Adj/Xg4OwH/H0nJ7YC0YwP5vkpvzCfHZPXyB/p+p/pfL/x/Df0f5v5H8fxNS8oJC/1Kz/6X//6htXCFQv78NHkjrhXhYAE23hzWA/a+pMfjP0mqC7SFerv+rVUXYPCyCHMwR+k8bIZ5KEF+wvQ4EYef0hy1/cMPfWwaFwMA6bp6Q388KgOdhNP+je1gtO5eHp8PzgZJ/qcAPm/PfVz6B2bnZ/14xfiFhgA0cbuOH/TDkB0kIEAB62EV7sO9fJAYAeWFuiAcXwEN5QQAHNzj274k+OAH/lPQA/0EEAEAHyAOP/wH4HwA3L/i/AREAEPaQ3T+AoBgA6PYf8sPdQE+w98PD8Q8i+IA8EPofGQQAIpzg4P/w4XtAfNz+HVMUAPQHw/8A/1WynRcc/rD1f5HyoR//kv96YsBgX7Ad9vyMm51EuHNteNtFtRy1D8/WqNQUy5bxWw6egHl4u9cVHsYbjqrM56vwM7k3Q90ESxtP2H/JLtDfBuw112G8aEnSbb0OvLFK0JvYasWeGyfrHyvck/vQR4tFw2Mgux146xFoFOqC2oz8UY0l18NLFE8nn/jCp1fZ90Nf2eJw5MyW7naVsDrOTdkkT6xhjHnou2mWPNusLxSM6AgeWkxOomNf/OlfZ1NEOWP39GoJXNhB+7ECRQGma/xxl1/8l98b8Ht2UjJTmlLQov4iGp5gDZDfTVEjnw0oKVrqn/Ntliyiz8HlTl3iIeDd5c+oguhFwxp7aryH5ztAm7lvAOFs1P3Em0k1pY0kVnBGbdKqVqtoYkSNgAuYdrfDQX657cyoy8E5lWZBbPLDPWAa18RpL6SpK+C6zmN56FM/z3lkasvFUOOnja4g43cyfTI0jj4gzidOZlFLi+IZtKmPyhAjKJ3GYFUSAu4F7zeiN49sIiQDnv+Qv6ICrRfy8ZmKPupBHqY5FMoN/BEXVFF/rNWxNk04C/Uhsgi7DxPWurf9mHp8XEjpJPDEOjOSPS/jSdervJV4Nl2JWnD9dFgZ8HitgoxXsdSPXiNxXWjuxwBzkaCqcs/WbOVQlPlzP+dLsQLeQ6MKw9bXQgW6DJv70Twju/Whg/JhEb1iZ/a762fl5fKWpN/cjC6PK3xeyg/FfTUQCc971aEXktPpqZ2mLBeNUny+8aUHy5bpwEDem8G1MR7f2EDqamOks/jGh7tMVZGFrWhes0/9m+SLwHmLOcWiHsrqEFmyV78aQ/hr27Uv2JEeZxIsx7Fkbi+iMlm1DzUa/bijkqfWN7jIZ/JfQ+qZnRzZYPg8scEcAK0wfyfY2wSQEIpJQ4UmsDLMboSkn65KscdE3TlENa0Y+sjVLdDUZEz3g1f3B4fR5Jkw2gX4SKRH91UAhaVsmSsaRVwk9zNJ2c7r/lmyV/TxTVKVnua1KyS/JCPKpcw7TZCZVxVlXhp+xxrfvhF+kzPpq5ynCxsop06PotyEVLHMJGczzE5ga/AjkdeYZacT/twoCuZgiHGIePoc026XMBoTaUPyCxvJYG18yg89Yh2BJ3kM4TziNYRshGt343J4avhVvI/me2sV1EaR1BBlSKw9ASLor4VrsJlCjcZ7xjv3vsyofKFOOo0Gln7CU5p19GFUEkqO9/mh/5I5sOo+1E1XcnRnNBUHZ8L6WYNkFh2IrzQQM+1esvWb61Fd4+Vc5sqQ0/FKbvhqxbcQzPr66uoMmSFKa5lTkZQ9Mhyr4dxHZm86TkV9dSQFQV9oT6UQYxcqSAv4uBLCac1NQXB1L9A3get0QwWkR5B0sjoVREXtxFTQmR8F3czdMzs6FvNVj6MQ85aWbUFtQW8Gswyrc9WW/OqjD1U3pP3bdtFUfKu05SeaapeaOSZ874fjvQOEVymSZ8wvegAo8ByPoXRGAUqpc9TkLINJE3XeJXWK70McXdzkyp/UA2xeKpjKK2e3Y9PR+i2y40Wps0X28GvzTRmlVgqr6jAzQ6+/Xb1v4kkiXzPrpNibBo8MRV8MUGFSqg/PsvKzOCbbVvm/OFcbpkzj9nJ7pvmev5fCf8UrMS33xbQwZ3orZzFuXzdu+cS92MfRklWZ3gL1ZDI7DorPY+dfzY8dcxAVrDKlG3FjvT+vYegGez7tSdttzLn2WuYKTRmFowvaZzNjskXG/L70u6IeDBr2k5Ub1G57zzZBRsCYQXkp2ZqfVwcMfIldJnlu/pfMB5fj5wMhLL0VHyeGSH2+rnzlt3Ar61kFVFrdyqg6fcb32s2Tdz1UQicXrwfhYc6l2GOWDvoJnz/vXFgB0CrhloRTaMCE9E98WEt59qaqq7KV/S9KxL5TSA2yJW6yD9+2qd44aV3VzQRsahMB8N6CUDW87b64kj6C1Bd3sg4yau5/d+2VbTT+EllBUVjhumTLwjf/9hHnlXX6HkZvXtJqEtDhV08WtJ1F5wl/njidkRyHvrwGcFuyjOxQiLhMIVuuYPU8CypRGfC5E4edqWXu6SOYEnoiI2Y00lukcNEAvTm3RMKuXgNy9k0r42MUW7m7YPVAN00cK+KZqVRjwtU7moR2XL9Nzd174ZDy3BrL9nMbRDY9pqw2aC8PmIWk9IM+uUHAj44pbcMOX1Nzdly5z/R22QzV9f19i/9YjFIwOhYRtOyynLFbTboSjDZnJB9vLE8TtGPE8RptSX9wEULJnXcUuvLuSI+IrImsqL1VKXYAtaxdJ4t3t10DbSLE9wKtmMLKbPSp0UtC8oHTn7q5VbgGOve/vMNyL7HBn7gT3e8WqMLgwU5JV01JXmQ/XofHWHNBA6gwz8G65zOvrWQdyIUFqFRWdWy8J/wpDUdIrapzRkj6TctBdJxlmwOxRFXxmlwDtu4hkRIBy2XDWKEVugJku0ZGEnN5bSMvp/BwiSq1ebWz1yDcbaKi5TN0Yfs9kRGOOVLmUmuyjEprV+pKFwZ5ttdvEzqMQuOg7FDHyq6sBdvJithlhqbdsi8pXz6bf729tBHUBZFXDz8DlIutexgVNb0bLgIkelq6HOR72sdlwPD8E7owMSoKdgrFZ2g0sv0pLeIIj8vgOFFF+WVh3lqKHdGayiJizKoakDvWJLk5R+qvMKiwH/ILNax4Je36E0l1rK09nZFC7Tg5OYpP3pFJwSuT0HzWnfoLk63ZOrb5USTjhfGtMNbOfL5QdcAdJWk6EIIFmZ/0wrLNpupWwBYd6PWXUyn6kiOAjO3He2KW69u8vowAyXlVlGU9dpcb4zUTLNCf47f1SeayAyBKCw+1wFQUTjSKw7XLOH2MaQx0zzbLJbhE3M0LfXwpiUzWlbEtl4WeVI4s7SaREtHkWC01pyjXn389/hbCTif3GNpIPHEIsl4S9eI99eI63JhnvDqVljjmDvYfqptgwXZrrVrN9UUd5Hvr+ZxwZpCSyBik5Dt2OL2bugpwvHNNiK33NfL7Vb9AOJHFaMHk/4wi9Z2790kXbhZtZELa2VxfCS9cXuwVMymsyUShQgF01Ysos5dlOi8RRRp30XoxHa1ejZw7JVHQ+X06CRqqdMWOjjMXo3UaVYwssfa1yP7ufff1AXJiBcHNKmdblGR/cd6bjT7icOIyVM/OYjHJeuV4XIUn1hFG3/Kd1tqHellIdZNGlYrcdNp71ycIw4KZy163M04ICLSd64jNiu2bxnqKvUBms96ooMPdhy8YX4prJRftD3pO/RpIbqSXRXcIe5xpSWu8HMHKL+hDVAr1x9lmnuY3PiKu9VmO6N/XFrO9L9hi1C7OIf40YtzDqURksQwstvYri9GtwXo5lGyu+6abWomzbAliQPYjdtdSC3Bmb1WgaR1WGKnPYvBBq0VdJL4Kk0svbWbfDF6UcTNo8quP+MDEAxzUVjNH87go+nzO5IXO1U/sUSVkwyf5+6d3McdT6mGdX/BVYthq66WRTXVlR/FV59cQLAWb9ymZnWYlHCK9rB03uU6jsKzHNZTfTNimF226Gwx6frA9hQdPr6YBYVawN6hqGnlkOJjsKbLYtTu5n8fTsSvqtWgD1JXqVxePLV0ybFe6Yd+fkR1Ya1QVWGAu2hQa5iE39wXcvCTyXj/SWF1q2c4XTPoJesscTAx3lbs/9HxD0t1/egIzXUXlTGuVKj3/5Pnr2C2DxFY2IMFvBgeTQUGBPjqA3A6T1zjYtGH/iG6bjxyGs2brHuHoqfPWnplnwvysanQ6g1VD0v0jGlETPpT4cWDzs4w60d0r3qHelAYuh9EBf78S7zD6r1a18v6Vn17kRP7kl/GebsNER/l+2vZr9kXPU2SbAgZRyi+Frtgpiy8oHH3mGTCwMS9EtpSwTGT99C2e/YjIQUmruIS6yc98e5+ERZ+S5c3Ad7nbGKWU/Pzx8urVYemTVRuzl88dLnR8BUNUInJJA79jGN/USSwq082QEJgQMwrI/xSaP73ZvviqYs44VW6GfgFKGU07sBPSuhArc5fmF1Frlb89rfcEoh5GNTiy/yz1JdXlxkNIm1Wui44kKXv2NYWK0+sxi1kIk7C+vHL1q+SA1FNGeQ99c+4+My6J1ujVk7ek1ZO3gX7c8/1glTtrkiVeK6T5rgptdftwkeQoCoM4rrUCv546uOQa6FwYsdY3n8cQtGKdfLinyGpMEzJYtjmj+7SZGV1l9d0O/jBCtbCiDSt48AvvvAnND9k5GGk5PIXA6uc+bCm0GxO3Q/tmAyGn9YhHAxeWEp0q88hqhczSKmLRkSSx/lk2WX+8RKw1XfX4QYm6/IuVY2Fwb0PXEn1VQhO2dPIu9KOue0IkVXl+8BRHZ2RD1mV90QkwVgJDn5LtsWXzL/FNBJpajbPsdxLf8g9hT9j5lD9JjLaQLup6oMSVDiS7GLA1H2cTSGRLvvaghs1teoUioBoKoKSnvQChEapUbI+E2V6PyaJQmc3ocX+Qgj5XJ02BDqjnGR14CEWffwRHoFwtRXPhU/gbKPuPqXpmTLoW8JDuFtDVXUtIXQTZ+BYcFcjRszi3YhOlklKxZto8VSXoFWsY9LGvd6fnZwk6iSFgguFzismb/e9IlwzTyKqY0yZbJVM5lOosu3ZFT6qa9umuM6Tk54dVLahD9NFB5wCm06kWQie8YTPdSA2nMhOerefP9OF3fjZCAE0dE+XSL+MSdGJosTQWaKUT5CZIZNERskIhicurE+xU2BeZCdI4WT1hjUOKKs4v8gk2PEnhpM99l1Kwt3m7pRfGZ6qq8sZcUisXoL0SrClVTJI7C+nVJ+DXHA4Tm0r+GdaNA40y+Ruqdkiy+iqsKZL3j9oSD9HA3jAkUeLQLKXnNOYbRjVlAn2nNhVyDH5+bRviP6a4SLLtGAp8jx+lPLcd07ybefUV6BAksJqSsfe5eGCDUbk0hbBih81B03MCY5r+qbHhbdDNWX1jk0lvfawlTsj0LIvzyACDSsdRtLbKPebQSBy91WVDtMTui9rRk+CEdbUm7zy82lCLJSZs5nmMMvxFNgUnmVChNMlwfYpb2taDz9VdP2STKiiysNJt3teF8JCkyQXbRUV+g7oZI9dpsp/Eo8ORGt8xLVrPjsNMApwXrQUCoSjetJXWLWyq0Nzb4LUahq26m7xfUzrdn/YDkvPRn1S9PZIadbfZtcQJnXPa03ZBtc5qPMzYcL+4elwh6uW3xAw/SVk+feOF7RBk59HDJdTl94zhdtniS9YV9UXnPp4hdwVyByKXYxsirnKS26Ed0bvIXmkF1g79Rqtk1HHnMY5OJv3ea3etl0dZ/OXXH73+YdkRGSqm5izxhgfec51IdLjj/huWFGuf5WP9WEK0DNabGgSkKCqf7q3JtLmSqCVekPFMCYSf00I2ZlVkl16HOoyF3bo06fHuZfy69WYLGXDlJWIb0d/oVmwdnof63dBTiCSR5T82+TWj8KGiz/VbvWVDlbKXkJVyBsZF/Tyo+BofAYyZxrlbix1eP8ZeE3xVA6qAvbS6VpQOckfn2nYocxRzYqa9KulDtpA90ry0nrOcbFZWP5MQKkcv9BnYa0XbVIV7HMmVCDjIPV81IYR4vQ/pXt7sOWmfONqfJDKBE3yjVfx1Jh4fu2BPh6FXhLoMSJJDED7e4yl7zU3Csd5iU1Y41OK0PiZmNv3O6x5Tf4dCTD2RMpyw10C91OYp86aP41BSg3aY2TqKbzS1x0BYgR+aKnvKfZszgZDGuzLVTrv6oEAnuk7mBH/FdWLDse7XPq0msVztt+9NxUePdnrHCvsyQR9P6qHB8+BO6gFka68LWRSqQLT3+/SkM0svd+vS+y0XhKkPgdl+E9fWNsd5RMWDuFFmVaNRBNaTHcNPsgu6fai6Hu3b0FE/zvPfhpxo2ISTEwU5f6reGZK9LojaCuoL9sXfPjJueISRtgV74Rn3lg/GiReAVwWVMS31P41+84koWrppR/SA3p1HY4J1sOAa9UjdWhpgXVfC0m2dkn+4/HHIs0ymxftza7+l+c0rzkTSmVvdT19LtGwdIrgW2zpWwrPdGLFi598ZYrX5T5w6fnccsdmMe+1Vp5Q7kSbZQ/z0ym+5qez9OMoVZxvKoOPZvaDMU36L7teCJSrpI/kZsyfpll3jHhpgt9rMt4YHp88enxclJo6LSO9z9BeepqnAXmejtJRUyIkwfgtQjNSTBPIjbjX7Bn5eem4Vh1y7iKk+/ZnoUFCaOYG6fj92e81FPF/89Mn+uxSCQd7vXxk6x3sYOdUW9UXwOhdM6KowaXYfHTkv4tKyTs7L7ao95irffvmxuRWTaIFI6leKVt4Ws7B3rT6VgQnhK6ZFikqN1HvB0XeHOzIZSGNsZ/vnPZfBSuT2RsoaM9xcO2SepO+V7wrXLIFNpR51PWhDZ8hOMX347y8vTene+4crliJkHwucg4nSM3J2NedkpZ05JI2drDc1215K38/mD90/+wpeOzBSVPsSmNrS8hQ/aOKdAjxqkLzfYFBucBfHgeIW5W1BYrJOkMSjKMapNvWzKabRBIPcRjyl8yvzHarbc8vpJFRaKlQciTSszsDvegBF897nuCpe08L3un2342/ZsnQFBm0lfJma4ugFTun1h8XLnG0JDxZZmhBqCRhA6U952veHmbRwo5XQbkpfi+pm9DZpjvWjnK56ixBo1iWqkFsHgdlO3riSBAG3FmsJGzGkNMq8Rku3S/VEZXrk5zh9p4yB+IHsnNIR+Y7WPQ6G/tOuZb4ayfccrU5rxjPooe2CDs1Kio1O8Yu8cx8MUDgs9R9N8NBFwHyCbrlxXppqNT0hHVdA/ll1jmOCE6v3CFzv3z19dizQNmmO3TCHOLi7M/kqZB1PrvTMKsO3KzYM1TA7MJrtaWL9wItwZVl8wxkCYVUcc/q08J2lM+kb8SEjq2uUIekvxWKcqnxBZFP15owBc6SYRwKGC/79P4a8NpUyHVCH5wsjfumslnziePL6pSj+8xvDoswrH47KY0fiqM+kHtPia/bOTEXNVUukL50wPAZwijLbPN1weZplE7HVUZVF4jcYKwJ1x1+gbJddbQFMT/w9AyOeBxX0anyp0yeOKhIPcSj74tr2rltO4Ch+5lgfh79XijJhxuyDfeNc0o1apvnSBzK6CpoTMrv9BYqQm0v8QPTPiA5n0ER/htwO/C6KtLJzovKOcljNu5tbnT4QGeukLmLsjdHK69eZ2G9vMnTD68yWViQNu56K06A9X1iUseM6Y1mrwTrQal2S1xcSi7wI6/qAHFuWzdgz05v5wXHX4Fvb8qalbalxHyb6InstJzMgxgf9/cUuB2lUTNJGhCWJFgO8osfEv0iyKJKVHJ4qIWevqkBtDXwZGoTN4wxAFvY3/ww9wR++jcpUF6TiHAlV56GcXTYu0t/SiR6plCtTZgvrJetduiL/MD45/OSIf25cRUeki7yK7sBk03iIp1bp8wsGgjrLy+vupUZcvR/v2SCcNeI5DGFD1QzdjfToGCkW1KUCwEuCtAEtKuwPo4GUx6PdNN8HhZuxp6Jdrt20513WaMdjsYjOUK1TxGJjCXiQxHli9n2Irixh7IcrMx2875nMDg6FY0oasHL1eHRDzuDp5S9vuN6qpxV/ehZiavOuwjjL1oZqM2b7l7sqX91I5m5HGDsPYjxy6DQsWzuXN2KP1ZfbZJUzVlQcix1f2E79cnVR1ZuTpj59gFJzEJQzh9LhKVf/c2sC3e+poMvP3qYmn7OIxxbEOjKveDkXgS0x1OaQpTS5ldqv7aoDZHpsfGQN2O3iNt4365voYwI56GDX52owmqMYZSYdDYRrCI3LmsYKLrtK7Pd+NqHJQrsGMrhVI8K8FUvjg3Ug7BOh5mSr/COyoguKfKIFN0q+OgzmaAdwvaW3J71yA3LMKU/N+Xs03+PSCUnCqQitJmoxNGfBpcVxVob3gPdXDeYGEbwSwSK+A5RLJkmHCZoLA8L4OcESk+58ex9W7JzjtGrwdLBJ1KyBlb7NTjMlIN+3KaIFvqll3lmItQ/5acvJH8jso0JeRBwo1QIsMj59j1i4XK3R1rl1magnrK+yUEHxjyhWX2sDKTUxO1nCU75cSBkUvLphgC8k9QYxrjNiHtSjD3ezOAfu5/PIWTFcYZlTL/NZGfrFHBF1CqGmR+Vxe2Siip07dNh66dI9/rGeafxK5ZPfiyMjhqcWZBeVd48YgdfX9OKq6zWqx1vvvlcyjHX576loLz1DulAwKrcCis7is00vZwAfhfi885+ctYJwp/v9BFKR0FgJnhunFxYYv25fZnM0SNbpD2nNnmrggnjobqj6T/9CcrnqXBYc0qOC7CRiSVGIM/rgYkslkRy2fqSbd64WDI3pPHMlxPaYqC8POlQqujGdLI/at/wVTEDOzPTR1ACJ2qAhebq5Cg/9mCl5E8XUYrPkq4VK1YihogixPrsW57vEdJCfUHw1GJphxqBfnTpMlyP362ODIcM4MhqKMRM599R0g+n74Gp60ysBlioZiKfmN4Oo2bCmOEYMtVMZlFHtl5GqJLNzNEbGgnwlEX4Uc+eRrOB3zy6k8S1MXPnVl3vXdGzk3bNKU+mS6r6LRdqxyztxjWgllbZYRe2AuEhmqnxAwbM961esB+MIJ79s5CnkBuUF/euFvDRg5nHQE5zHj/L5y3U/1OBKNPOI9rYUfBfGq8Ygqb/ZDhLsqiaRFC5BHtwxufady2Zw/Oazd9LcwjIjjhDiSJ9ScPeSFqe7JnP40bWkkmXFJGt4a1VQW75ZUq/+JOjV9+h0POO2ytqyxsJ6SizCs+4tdHTj7Y9+7HpSon01jbDE+pz25Jq+WkBiBof01Pt7ucxeTNetCm3HbWul8IzqKKOcpskyavusMqEdlcpHyWDpaMKyFyuJT+2mWtlg3hs8FS2e+gRYKay+B57SLZLKggq0Z0bhkfHKiqK9Mrnakm79KxEmn1CFbmKKwcscMcrs6UH+lhzKC/1WJytNp+lHC0evZPpI+KL3Xj0lpnOduEro76bs6OMGgrY7LkrlmwqbOr3TBUiqbPE2qGND7oqBqjRFo97qtTXkM60CzDRaTxL81V0iPZK319cNXdHaEih/jcvgnKJxFTYCs6HOte6+K8gDWj1ApY1PBgQ2OHyjSqiazsHwkdwZUZfHsGD5zNXYjMcVidygYS8ZDFdLUvQXWNzSsQAZlimoMrtZX4AAJ8GCw+MXSkXfTC9qvt5YentLuzfYsShLRS/aopTyg+Sbh5KDw5iKPnxO283oMsqK1/WPFVdZWqMyC+CZWVfCngaudpf5523LF5EAPIUJqh8fPY/UMGD2fcdeTapC5WJgEBuXEV+M/vYrEetB8Zb12obSqWGDR6frCwE6//kTwefMx5GzxES7MetDCpMkSEynnCG1oHeREFfRvi/J13NrxGeP7SVzF4mdJk/Q7doYKXCrdg0+Wil/Dx7sPNWnw7tt8LO4By7Q5yDiGpf81XYAyVbQjBCXvvhnewRGr8X7m8Upsq5YBYJ3MVHPrNNCchczHjPWLL+WoSd4lreJqqYb9sqTemzeTlzsDcW4R25nfowIzsr264mK46UOAiriPnyV1Kap3KClviaeH2M2bD9qu1d9V88hrf0seESunNbI7PKhsWpQ9L3uYppFE//XN/i7dXA5C63T5vHyJQ+ZHrHQQMmZ7UI5tywSjk0Kj+qBV9jisz/m3+agLR4bAIMmD3qreqgoD/lTE9Cml4yoxF0MP09IuZZOZupv5GmXH6oVphcAw0/F2+NzPwBap3He1kcT9y5BMX9QWsWNxtzo3cSoFklMT4730NnUBQXfoLbhpDQEp2WaRXJi/gj0p+okBDG9+bodPpIZ7FnlxY9oZVHf+9n1Sg2ovza9o/BsPRrLviCk1wuvtoq8TmBnr8+14ecdQ+wtB4Xpjj9aSGjqs308eu0ipyqnXisEqbEaZU9CHBs8fJ0sH3Wdw8rV763DysKxEc8E9fskl9Qm7jAjZD7D1WfVLwN22JPU7m7EasbSm9oNyuPKw92Cmq0ihl458l0GhDdisz4XiE299gAzMt4Q8sUWcHvee492ofFYaf06+bDzCDUTVN3XCbSSv3SJJFf8Flxk4rEjUuiz5CP6balKseGSlmsgJqn96w1GYRxBE8kWyk5uyqvroUg1Q4cfMV8snhOMpeXYs5CaZprVqnOWxQfRmneu7l/n0zUFy2oE3bbcbGCWE29nDUcPh7tR6qruXt/Q6nu70/crOmJszZRgLRk8OWRRe0tOZ4x/YwiJnX1hF/BxZQ4ip9d5Sas8mdmbMYzIUr6vlJ02ZVA87cuSJ48zHH6VnnNhW7gyq2PI8RaXR2WRWFA3y5yanR/sw/SR6VOzb7UoGnGdGGw4CNlXWYsjPmNUgpSwwVyV9zxFTwibs1o5gFNXfKza2RIZFWx4GxeJtg3REHz4vyxQwjUgwN5V1PZ6hWSpNsnxc+3NTXeTBCoXNx0DSupkGrdZFHcNgTWdQCAX5nF3MAaRPdZGrLUIN167U5RKsXV5kkB5EEbLJuX3/BIxmc94J2+GRsTmg86jdE82xw8TFVc5mpg/PSGPf1ndoncf6n2eULu2fjVmJHQkbHIvLdTNATJMjCv2K+BBZUWr7V1xmiX3KwxEeW0Rb3AW0u6AQeMjveTf0iMemKqMKkX17aphhTuNZV7JbPiVqdTPq/vAcm4mrHTmNx+lYuuGcG2nn8+2bWNhf5cdJKZKkaZoEODEjWjisaZQ6Npc3qOSvdG7Yu40p1uYZ0N3eJ29FB98cYXBakqSCmpR5bXuSM38SUhX3/7UKnSYMYmg5MZr707iS3KS8MVQZLNtswR7l6rziza5zgFeLqCmjBS3T7QrlI6keXNlhpl3FSPNmZmN96vudqmaSGoF0uZ61iUWzFlrkiG0jlFL+O2ZuILXSPQJZ6Ijm1HufuGxu+NMRj+bwvnThoCiQm54QuXjlFoncamJMccj5afFziEektPkV/VnGcerdd7qvMLJz4Yh7e9MJj8iN6SrHC47VV6ULNtVwJby5oeFBRkElJXxfwKh5920Mp58XhodWHjNuKQSgl4ubP6R9PESkuktVhOb6cw+jDg6ESp76iN0lBSGiUzId+7tpDzJCiiZxaEffPnC/RNmycLZN1yugRfTgDiymzOjFVvAtFY+19okJzsIF5VlUHEa+lbc5KtRjbFTu1IeZo3PBdREF1SjlOhghHYaXrenjM+8r/2xnA6GzlS1Es+qcCBZ3Fcq/dxou0+go6C4zaMhb2Umpb+rVhrv/wBydjbtCmVuZHN0cmVhbQplbmRvYmoKCjI1IDAgb2JqCjw8L1R5cGUvRm9udERlc2NyaXB0b3IvRm9udE5hbWUvT0hBU0FDK0NNUjEwL0ZsYWdzIDQvRm9udEJCb3hbLTQwIC0yNTAgMTAwOSA3NTBdL0FzY2VudCA2OTQvQ2FwSGVpZ2h0IDY4My9EZXNjZW50IC0xOTQvSXRhbGljQW5nbGUgMC9TdGVtViA2OS9YSGVpZ2h0IDQzMS9DaGFyU2V0KC9laWdodC9maXZlL2ZvdXIvbmluZS9vbmUvc2V2ZW4vc2l4L3RocmVlL3R3by96ZXJvKS9Gb250RmlsZSAyNCAwIFI+PgplbmRvYmoKCjI2IDAgb2JqCjw8L0xlbmd0aDEgMTM1Ny9MZW5ndGgyIDU5NTQvTGVuZ3RoMyAwL0xlbmd0aCA2ODg0L0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42o1WBVSUXbemJIYOpWUkpJkZUlC6u1NqGAYYYGZgGHIACaVEQkoFSWlFBGlpEBApCQlpCSVVQJo76vf/3/3+e9e6d71rzXvOjufsffbzvGv4rhmZiio7o53gGmgUVhQiBpYDquqbyADBYAkxMFgcwMdnhsB6wv9YAXwWcIwPAo2S+29+VQwcisXb1KBYfJg+GgXU8fUEQiSAEGk5iIwcGAwUB4Nl/xWIxsgB1aB+CGegvhhQB42C+wD4VNFegRiEqxsWf8q/lkABmCAQIisrI/I7HaiMhGMQMCgKqA/FusGR+BNhUE+gKRqGgGMD/wEhcMsNi/WSA4H8/f3FoEgfMTTGVUFQBOiPwLoBTeA+cIwf3Bn4q12gARQJ/92YGIAPaOaG8PljNkW7YP2hGDgQb/BEwOAoH3yCL8oZjgHizwaaausBDb3gqD/Ben8CRIB/XQ0QIgb5N9xf2b+AEKjfyVAYDI30gqICEShXoAvCEw401NATwwZgRYBQlPOvQKinDxqfD/WDIjyhTviA34VDgRrKxkAovr+/uvOBYRBeWB8xH4Tnrw5Bv2Dwl6yOclZFI5FwFNYH8Ks+NQQGDsPfeiDo91g9UGh/FO7P2gWBcnb51YKzrxfIHIXw9oVrq/0VgTcB/ra5wrFAKTAYLCMLBsK9gfAAmBvoF7hZoBf8txPyy4yvPwTnhfYCuuBbgIcgXOD4FwDnA/WDA7EYX3gI7r87/rkDQCBAZwQMC3SCuyJQgL/R8Wa4y589fvIYRADwNhhPPAgQ/Ov598oOzy1nNMoz8O/w38MFmeiqmVsqC/9u+N8uFRV0ABAnKi4DFBWXAgMhEHFxoAx+EfJPFCMo4q8qwH/naqNc0EDZP8Xib+lfBfv9NX2Bv4QhCPwnlgEaz1g4UOBvgtuCpcAw/A/k/03z3yn/G7t/ofwfBP/PejR8PT1/ewV+uf+HF4pEeAb+5cfz1ReL574+Gq8A1H+GWsL/yFUf7ozwRf6nVxsLxWtAGeXq+e9LRPhoIALgzkYILMztD1X+2M1/CcwTgYIboX0Qvz4oQFEIGPwfPryqYB74j4YPno+/XXC8aP55pDoKhnb+pS5xKWkgFIOBBgLwI8bvpIA4CF6GzvCA3wwGgsRQaCw+BYhvLwTogsYAfs0TjwvC+qN/GQH/AIb5YjB4Wf0ePP7Uf+1/axgOD4DDAFMTaNjNu+5Vd98cViqz+4uuDMqP8q1YPhIUxU1hmn2PacjSBF9mRcxjDpTT+jroPi2rC+wrTXOd4TYaXpNFN6YYN50Enzokm4ysNAEmh6+8HXq2oVzdzUnBIWqmtBp85h1sEe5B3EDYqsOX6+17g8Yon/HQv0szoLq7bOZ91MSK8epLaV3K07IPog/M423Di8f48pyejrNwk2JFOcmFGHYDaMf2D0YZcoYuuHSShQEhmw8kCnE2C+IJR+NBs8/NxH3aWHlZbVg4ifcZ3o9cx6msp+swf8SVFM4VjNn6FsVKfGojsNMMnViikLkViEi+8Uqxl/jaquviz81Wyvp+lIhmTMV0+rPVM5HyOxVeRFKra6fg/ZzeO3TbuAnOMobaKu7W02cyqoevH19eko4N0+G5xiYvv8+fyrWLuT/tx6UwzaW5x5pecS0KRM1lTK1Bo/86tNsFhLzKLpSHuC+QzX0NUdqeA9ANk2JUoOouOKVwThHRsS+vucfOSiKyO2QXYZ8PCFpjZmb7IMRO8b1GOMbDrXSUyN3Qf735k/cmEcWux3WRlFUHxbDH78/7YmBXuVNQigdFg+OWMSmC2Snp4/e5GNvYBjmJiygeeHSmr8alOW49sHlRl9oJ2ks0ZaCmTBcaUEyrIb0DCyb7nLpi2e2KbkneTj4bZ3tXUeXUjrjhBvc5bKk0pkUc3+1rlBTUyEs+YvSrf3fwJMyIymJ7peTKZFKbF8Ijud7RfWd897NjW2ZNu3q5uSCafPtrjeUupbuKgcv99pm2+kijPrP4SdLGog9QB96dL3QvqPt81ZyZoiYlEozJDzJUWG1MXQJ9JanWs0sCOhaKGhfnRwyObp3nxEMm2T8s5VkteqTJMI9qZzYo8LGfroeM3gFM8s+smD2+ECwNvcyrzTd44b3w0Eibp1pUnyFlaN0iwGOQpiOge1Np7s3YTBajzbyOtFvYzoulaXk35enK+cH3pHJ0rTxJaKcJv8Y5JjC8xfaMa482b4uwI6+bE5zSt35pH2b0UiUI182W70IgP39Y6wyJ+zqr+YQf1wn52KbkPKgWGmiFaUlTqzC0SSpR7xMbSvokv5EiwGdf0gwSt2irZxasb2F7+vVDd89ngfndLeROI6tLIyvZJQYOkwRxMIvjXGydmR5yD0R48NmYMUHv4TuOCOog3Ul9TuQrroHCV4VZu6eTFML2X+on/JSr3wDQ6v3nmgFcZX4cm1tWddoBykR9Pyxf5zwj6z0eVwiYVu0oa92QGiGJTN3bueafN2r/JYXqiGmyq3DSL1WAeG9EUkS0IALe8e3NaFMBuSLIJHZ5M0MxQa3aG+7dnt5B//RBOQd5tWhebgl5gPrWNpB3/9OjB1eS8oUk0G8WKx5FWI8Jg3HCBmLHZzVh3QpDMTH88rnhdT3aOiccnQAXu/fRqtw+XqiIylzxCAgFTuJYXv102r1ig0hyf8zG4J04gODlvm6okH94o+I54d6VZ+vbPOmvc6NIZMvYbu4BXpMoXxJ8YhRIQykTE/LJvgbpy66xnTXZI34cl5f6vDIgFCndQXrLwl7Xk5hrMMgiMfBnxTNu9cIbtJp0h3mr3Z+76rpaVGLcm2nW3sR1mj5yTLK1p2W7eHIiXGiXzQvttuI3UnVPndYkU4YLA2SteVmdTspqPw4Opz3aoaHN+bjBobXq+tHllLZTWL6MPnDnIhy70v8+yy5F4ss55WPzkGH0SZ5SPMWP2zSas3YBBb1SslVPakMQXsXQPbKT3MNQ7netwGlG524Kege77BF4Gi7fLM0hZsZlkIPNYXA3uUj6epuVKNsOZjn21WDaocLnclouyevkmt2KmELbYOnMEprHvXqCcP+OIpbkT52PVIQxYypJsLWZ7FyJe+1+gMyMhWuvn8uBcb6seoCrnfnDylfJZtxDcN4SlvYqBKX8T2cFzhhZrAsJet1Q4AnLLpP1RNNFRQJfhiOC6S6qM6LNDJtursratJhERDLq9fL4O/mp5vrp3J5HghspuBqfl/LrSNuI8Ii0Vl96T3tNN4NerklSpZONBQGOjCQf6gCSpmPpyylTHK9InI71o8P5GYS+ktfyE5cVdUuvKH5e2UC1Kuc24LKyKx9ziTQ9hsTgMtUPYjbFJkwCkAaSrI0e86sCTAT+jJkNnhJg/SO6MuLWnJnVRVt1gjjWagzgYp3o9Tz5432vs60B7FbgLAXbPHqLVuEIQIgrPoc6ZLysMz1oay8D3FZ7XC6Wvo0d0aZ/xKI+2rxN2E8Zaxf+wKX7eM3ia8V4Svmcu4wF1AHa1/Zjn1sUx7M1usW8WswuGn58GXAgt8bhZJgxc/ubIP221os3ZGPKVkTT6htNqV0XxT/NXXNuedR4FxPosXZWq5SvTrwTcn8+2kjvRjOhHc9PxXupRWlaDikmFgXyzuAr8/IEqoSB2KltXb6s+OrArmY00+jmrOw+cUt94BdghyRKlaLaWhPixmwfpte1xt+0vbEj5Ru6vXJbjktYUzVMbq9KQ5jbgA4wPMp2ZyPa5hGSNUMZq2Q6FLx5MJSDnBGWryyz6GLUIrXMNRpekPgefEKU64V8DOZuKmwxd5ZZq/3Ywtp728IqeydNrAjb/FLjXUsIZrw2sME6NLfgNYvLdE3z8Djf5d7IwyCu/Xua+gvGoWPyCUb9O2pDngSf9/Tozbx6rN966SwfULHGOMDmjJ/Kbc8TuKd8WS6Zlxs/Bg6WZ+fG0q3320rJyVqZjwDd44hMMuddeex2iCy9a7J2bOpLkpebwp6096NGR3NViZ+u7wRyZ8eSb1S58wj3LPX02j6ewKUMpN4JTFsrS7MbbqY1PCxim/FXhz/0Irc4+XESDHwZfKptZ+P8fC0LXFODbll1ttDhVaoI3rl/tTmKOZ5S6GsJW0tmoP/ulTM6eirdHNqha9/zx2nAFesbEofE3n4kGWIaFQ6cVsrpeRohB/elLFUC7YnoQuItFcZGxYMM07xXSYqL73hXRhbEs3NnA++dY7T7Qvs+cfEWK/isks1t7ReQXgJXWiuVHDX2lkgdl67T1eG0mxMmiRQY3wdeWouoQg+rvp7djORSFpdvUzlS3C54085tEkNfCWh3degTCa09+ektph4MRKHfD2WYSd9EKFrFOb2XjJzdC8H+hGe3nROzEI1NX9TpDUFCN66n6DnbDITsiUdZ/sikF9uQLE6IFNtusucbECoc5qy+0q82Fbxjo1i9dVfmboIlZJfwBZUQtdoto2VIv7vdUewCZZBOC+NhWu4s6deHCpzfmNTYchSNHC52sMPovIEfunFpSXpx/LCyuP06ToL9OYpPHPPRufeRLEympApM7aJP4yd5gpMTqG7eGVy6bQIhXpnOv5/muAeoUVJC1w6iDt04dt+IjXVbTMxqCPf7SzDO5mR8FjSxouXhrC86ypct9AmS/GYVy13F47RE60+sh8uGEURphBm8ICBYdCfnz3wbn2scN5aMbTjgOBJn/2g2jQrdFtsqjwTebe1nTwsuc+i+yrjLMp9Uf+4xJPBC4wIJQC3fEMo+5bAmkDjiFnMlCP0iYaoy+fzaQMb3AZ+5G28ohAeXZ6Oo09MQj+qnvqjJNPRdUTttOqr4wbPycn+mDa1+om8EHgV7laLK3t9Xtw3vmqo4EZ7klEl/50DZZPyTPCjSpCuWeogFoYZWeZglH5ybi+IlFne6bNGZ2WLJtbdTw2Sy67v7xH6zwe61jDhP1IvW6N3ngAAZppU6U/UrTVKVBWmG2ZPDO+bv5BTRL7ypquksbWnP313+tsKV4x1HVMTMbDRP8A57a/+yG+FyTUfPwKKJiN9Lmfu06k4EEd2rjTZSTPJs+wqdmUcZZI93uyeymA4LeC43uZkymChXbyqId82RRpIbjit60nJ7zwnQjqh9NYyK3vf12CeWdAjhmunJ5imlIih0NGiNOQYblJNF0DU5qK48n1K5tSRf7rqha0gDAR1Dm69tXYseSxFw1Ol/8ZFVViy6x6SgvyQQQuZOVvTNE5WhV/3T8djlaOhKWFkEy4uJ0IEy36Y4nVfu/mpDLBDZ3V5de0sZvQtCgZoPrR5a6zcw3XeYN1VB8Vd6SB3I75V/GVm+xkjVfDcK4trp6gis++D07VKtbzpF7cmShTParMGhXJ03qjgKOMKgZ6O6Ee70lWaBbjAxiUWwmMf3HF6wPrtAti50K58OSdodwk56cTUk9v6tOzav6yA0z/cO0+xkajOWUev3ztJWW2nk6aRjDzZgoVd5HF+QoPUd67UXPj/UVI1jhXUvaD8w6RBwoSd8TQWhVVxK+6IgTGatS8auasN0j68s1YdJ0OvD0M+5gN2DCy1DZjWTj2539U6IYuOjZ+iXSksVARoiXw+UZuqSnvR0eoou8QXQMNZYLviuvdUjajPLyE2PkYHmDkgBVkZYe89jneSX0IcjCVfqS2APsmKh54BVjJG1d20dJ2OHC/vlnEkJc3hRtrG0+0MyX7rt2Gs11MlF2Dsr1noiPOpfz/0i+yfO6m8ohtEqDd/6Qn+BVCzd6bz7ZKmj/my01Xo7g7lNZtzeHBzd803fsWXKSmSq7wBNFFT0hIJqxsAuquT80wkpjarpbr6X00T/aGvvhW3vEC7mqJtFXAQyX2B2XcdkR9X3OsUZSO0BTyW8ZTAluP8k5KrOyd0vS6Oi6KcsmUGGg9Zm6ap2q4ixHtDx268nQF1W+5qiaGNSaK/qVUQeLp70JuHis1IGsruOxdFbNwFK1Zaqs/0/PWLFrbUW6FKTNHk3dKa69sdSMgxrFHSFw6k5hDVmfohR8ul+2sq/+Gg5TUsz/WXO0uYSVZovjMOYLv9k3CSBqShpzewZJLvmGXBWYQezHnmQmb4VF39TY/iq5kTxN/6zFk65qu7SAufLm1esoodQwdpv9u0GSgoCvEFrLBDy6NNGH0SRAa+TV3rYB6+6W+ZO+2CevuRSLY2N3aNq/p5PhNbMiS97h0WK+/MKuq68i+gwK+K/0dTnlfbMD+iTVgwiCJftkidVPiORJR/jn1B1sgGRyRadx6Ku83p0l0MY53xGHqylRC0GCE5epfdiqoWOX7PdauMadmshbNgbyDDFMBHPXkZTU1D42szot5D4qVY55J+DzKLQw1dELSVwdy/SF0tr5bvbJ/wPxIbjfbo7TBZF0zljAiFtw5Vzsy63+gUl/YqdS7iS5lrbNUjjpzI2d29v7bY4TgEWJMb92g7jb0bi0jfZWUK5H28gxn5OweY2Bli0PFwXH32bkQf1L6pRo51wBLzXfeyFHBKO1qtB991mbGev7PAyI6/buBmEk90kq67lea2sKa2iWMvV3QNiuIDbX2O6XkR8uicc61C6OZRBM6XcTNiuVdS+bXaH9juQrkuj2vF7RGNahRdw2ouR5uoD2TqsCLQUNlMcSDb5MH38ef60u/8y4PSqGP3J1IDUKuV77GI+cmB607N/zde8BIZliusUBXX3q0j5UHJIiKQPvtKETa6OsaPfdGKvsEadSSmPEHAkBrEIVwovQtUvU/WmQHqJFw52FFWVd51qLlMEWPFD4O+llwrDRmWN9dbyLnlCjTQc1RLsYshCsi8v2fxMrhJ8nnjDK6LodjSN/5f6ASGBcu6m29fLffPl+oSIn2Ke+G6LDlDEyT8qqeHGqKqgfFzH2Q/u7mYNuI4eDqGqSsvUg6ZvOVUNlkMpfwQGTUUvsQszVOH/41wEDT0dmwFpSKYkrW9HyTdIP0e/KnnO/P3o2ThNBafL2IBDSpL1RjvYSquUT7JSWH9Gixjrv8UCHI5vvz9OLhBy5Bn2o2v6DTRUpeDMPgCWLIHCCZfgHjkN/UgDd5Y8qYBGJWozQj67Fy3bXqFjIHZroDAfcaco1CLs7ypNTNXWizCeOH2Q5ya4fsdgcLBk5spyma4CJbgGW+SwTC3kaFhMLif1hjJWfzP7yXJIcvDhio1Bk3nPz4SNazzz1MYfmmlVK9OztVsBDaGraPaflMDgbJK4JV5dCCOqJzhANqsxZmtc9tki2Xcc1CipxukSsy4zyIUeOULKIgJOVDx1kfUqQd5IEpUOojMf7GVxJfpK90hsTdM5f53mfhgXm7LO2mU+SYpbM8OhJZ6jE4wO4v1bqZY17mVNzvqGna1cnwniVkxnkPBS9g7uzuZ5yiH5fCRhmWxKHOyHS59T8L1oxXmqlbRagDWnMalSWySRXeb+a1YjcbdC0EfLjQhBq29+M60p1oC+U+LvU8JtKTdRulnzsvV64e2M8RVCTOWOjaIPIFRhwq+I279nZO6wVLh3D7+f0fr+wxJrG/9z++3wd802nUgXT9bNlZYN5cffXfZcFKBSaqp0vKXSDUuerkktZ2m1QpI7oDwhxkccy7z6C+zlRefIJWdesuqUEl4GcDwJfHXCUwYK/XRaEUMtwL7tLxFj++WxrVX2snJva+YdyUzH93Yvt9KDU/yiliOnxSGtgomU2Wf3cpybpUnEZDQaPVRXQQsEkEkdKefMVRZ4lmbnq9hjtkjviIr0hjCuRQK/CDP2+bb5bIOeofVgJdtmPuK3ZFFwVYdNhU5GXqv9GzCV7/X8LjiqwhxUjvHVKhuDtxgKk+pEVE5RiElzEmSOTCWIevXLY2aH4az4j0/WOtZEaUfJ1Qv2PdxXhzY+IVEe3A/ZP0oVux+AxONDny873U/cV6+4J/sjhqddIx1pPVO6FhpsoOb1IsOMw0zahu/bybAWBYzutBvrXvY9SCIna9r2MlAola4aBG7kKJQ14byd+TZfonMctAD7Ijk1UbaVTKA7d/rSvvoO5aKE0w6fCpsSb5m+c+0m7w2BDZ+U+0bvLGFF1he7cuJpIwbXv3vTkwx8kny0n8SbByixsPar7nirVUvawGwKjGDVxFAKKyaWl0r3fVZY8sHtXq+rKFWitgqip/p8UsXzOYBBS0tYjS/ezybU0vCBogW5RLcEsQGlxr3R8CzZYUKyXMBtbiruphoM8jk8KyZj41E/bnLsXEKPi00mcc0162lPdcabDRMSR2PdG6+4bA93t6fTwlzAbvu5r4BhtyoubjDl3aMOjJx8C5CN6bd9YzR/tKkW1WD/ogeiNwd5f9f2Hi8BXaVqi4bTzg9PfWPCoAdiXI39S3m72jMvCSpv1Lv4UZWLTg0uEPFNZxcaho+qmFk8JGHWKp2xZhZu89IJMQXM91UhvVp0WCWiSvqs751B832oZnM6SGqETI2t9RpVjBxuR2hZkqgwdBm7uqwCHXdbOELZ6UsSNm8HvJ8hTgSREAV6LQOS/XIRlPUKmUGsAe8YJntWfIf7vey7WpQe8/j6D9+SXHaiE7mEFAop83rRcc8gGdfksperHhaj5GKQu+BKkyfG6ejM3V0TycBS8hxDubRCP8nmg2mUlGKNNxXtNGfqo2N2CHhCtHDh+F6Dh2Z+pTUJN0iQeMt8rsS80Ad+R4hrGP1Kt3NkpkjAw7Ey7PhVHTKUuFLucDkS3H3Jcx6XkLo4ICEtGs3oWT6myBy+OxVp94CIapyw+/WP63ExkB8NA9pipvqPbQ2T4a92mJGU6NRqts9b6zzfP8yY5KbeOS71Erv9edv8FY97KA+tIshaQI7YbmJ8Xor3+FMsT/92O5RX+hDG0lbgI/poZPP04YBNXva69ofGqrHkr+zsJ9oUeSFf2d+SsNR8X+GXkX+pJR/fT8STazA7VIKakGk/RDWwF/y8sUmV0yE1ED5wjjEUvJyYP4ERI5tY6mu5n/R97BM4QdJg+8tPpxEbu+LDtqvO6eG7nI3n0xRe2s+oXoVKZCQqnMZqxEnf5vSuQuemH79rDJ+RVdw3Z5So4Or1z4NqpZvDEEFq+xfmyJ4uft0nJ8VaMwmtO9RoFuaCJDu+kWsp9z75GSRfDAhMXDBup+YnFkDb6wmfaz0/U+tpN8vvw5BLdIQnEEgdIbV5JOTyWPqkXmWbF5JUxC366Uq+Mw4Il0IM8CtU5M01gKc0RBq33CALZili9/RcKme/8tRTNEmxKP4Xp6VA8wplbmRzdHJlYW0KZW5kb2JqCgoyNyAwIG9iago8PC9UeXBlL0ZvbnREZXNjcmlwdG9yL0ZvbnROYW1lL1JLRFVXQStDTVI3L0ZsYWdzIDQvRm9udEJCb3hbLTI3IC0yNTAgMTEyMiA3NTBdL0FzY2VudCA2OTQvQ2FwSGVpZ2h0IDY4My9EZXNjZW50IC0xOTQvSXRhbGljQW5nbGUgMC9TdGVtViA3OS9YSGVpZ2h0IDQzMS9DaGFyU2V0KC90d28pL0ZvbnRGaWxlIDI2IDAgUj4+CmVuZG9iagoKMjggMCBvYmoKPDwvTGVuZ3RoMSAxNDE5L0xlbmd0aDIgNjEzNi9MZW5ndGgzIDAvTGVuZ3RoIDcxMDUvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjajXgHVJPrsjbSRaoISjUgvQYQkN6b9N5rEiAQEiShg/QqvXcE6UVAeleqgHTpCNKkdwRE0Bvd7nPOPv+/1r0rayXfzDwz75Rnvi8JM4OWLrcMGGEDUUTAUdx8PEBRgJy6rjEfEAAECvAAgfwEzMx6UBQM8reegNkA4oKEIuCi/4GQc4FYo9A6eWsUGqiOgAOeusIAfAIAPiFRPmFRIBDADwSK/A1EuIgC5K3doGCAOg/gKQIOQRIwyyGcPV2gdvYo9Dl/XwLYQOwAPhERYa7f7gAZJ4gLFGQNB6hbo+whTugTQdYwgC4CBIWgPP8Rgk3cHoVyFuXldXd357F2QvIgXOwk2bkA7lCUPUAHgoS4uEHAgF8lAzSsnSB/SuMhYAbo2UORfxl0EbYod2sXCACtgEFBEDgS7eIKB0NcAOjTAboqagBNZwj8L7DaXwAuwJ/mAPh4+P4V7o/3r0BQ+G9naxAI4eRsDfeEwu0AtlAYBKCpqMaD8kBxAazh4F9AaxgSgfa3drOGwqxt0IDfqVsDFGW0AdboCv/UhwS5QJ1RSB4kFParRt5fYdBtVoCD5RBOThA4CknwKz95qAsEhO67J++f4TrCEe5w778lWygcbPurDLCrM68+HPrMFaIi/weDVhH8W2cHQQEEgSJCQoJ8AMgzAMQDZM/76wA9T2fIb+NvNboGX29nhDPAFl0GxBdqC0F/EHgjrd0gAJSLK8TX+z8N/5QI+PgAYCgIBbCB2EHhBP+OjlZDbP+S0fN3gXoATIFo+vEBgL9e/7oyRzMMjIDDPP8N/z1iXg0DOWVDPc4/Jf/LKCuL8AB4c/OLALhFhIAAPj4+IYCwsCDA959xtKyhf/L4D18VuC0CIPJXuug+/Z2y2x8OsP1ZEHbAP2NpINDMhQDY/k10M6AgEIR+4/s/0/23y/+P5b+i/K9E/++MFF1hsN92tr8A/4/d2gkK8/yDQDPXFYXeAnUEehfg/w01hPy1uuoQMNTV6b+tKihr9DbIwO3QjObme8wDfPyXHopUhHpAwFpQFMj+L9b8pdf/tW8wKByihUBCf91h0F5A4H/Z0EsGckTfRZBoav42QdA79M9zFeAgBPjXsvELCgGsXVysPQnQs0ZLggBvPvRWgiEev8kM4OWBI1BoFwC6Rl+ALcKF4NdghUUAvJq/VL8lIIDXCQp3Rf5LwQfgdUbPCgFG7zm6M+iO/7L8IwOQq4sL2vibKuj0/pZ/7z4E4gEBEcxNI0BiwQ5vgtsuq2Vo3Lk3hnGXVzoi4ox7wwVRLDMvve3V8DKUJp7JWoErHwylas2Who5P+9BwHFyOeJi9ywpYSlHORWEo9K7JHnHnDXw7fWcHoQcjqO1GhVMj1sgO47XpSKxMsU1ZEw2nr0OEuwQ2X38puOlAbpqI7AKcAEXnpAwpNKhomZyOXcwXxgxMK6hBYzPSmLsupmmueir6ozeYL6AxF7JtUVTfPNdMY9IHP316n9XXmypwkq/aXSVUGUpOdc/rKUPOUEI/FUV81tNGJAaLrOC5XGlyHCNVoVMoyxKWlfDS98n8vtb4fgHXejsNuYA7ms8/NLjWIgSnJXK6lk5oLdcz9b7xEj1oSoiw56pOZZJlrgJjnA+mHVYJwHK7sSnpAbi1HQs/1ScRxSUXxmqY8w1ReM+DBCy+jD24tIrOiOfjN0+WgD3p//xKVkgLRu88ZGs4fy2eDCCnZibXUsHSYHBYcR16xMXz9VUvtNzoYSL8bKvpfdtgV9gRgumAjmIiIM6oPWO3Zye+UUXw/COZAYeCEKpGdQbRackemxM76aeTm4Ot1dqhJGYiLTI7xhhrIECSp0c2o6e2iZGmcdtYNETGf5KUmNzxoJTu9XyF0IeXEoFNEslP/IHPF8aObslr78WS1qzd0e76hmMRZ+NyxMuPb6Ga22Fib1WswfoU9TgO2rAbd70lazwRcCQ8vZQr+0Pfz5K85LlZrm3095ivm2f1h7lGMrXhJrCIpM4JvzXLVx/o2k36YmjT3o7tdbezJm96KNdfnWMfkdsMKon2MwYXwsobYgVb5D71UUTom/ZZq7WdNeG7dH2wbTj7RshneiH2eD3A2WKrXuPQ+XvZM1l5wF0S1tkQEYG1SnV/FhFvbMJwAz95oq9P7hJZj9UH8k/DeTDsbRsI1mFSqvOU+bumTC+aIslqr5Scj867aT+Rt9TQ8j7t9wJdYBUGKj757qYlsPiZ10hT6L2nDKKz5uD57qa54TMa+UD1Ztxw48fLxaehTWT5xrFTH/KNtBSO1G741yz5m+9UNpcilJO9Cfjue0xQ3RvYYe1sc6XyaUUQXZ5fGWo8pNPJUEg6KdpPb46dxDz7zpK0lgZ7qPiT0sxPjQxTx57vNb1ijs1xUeWoL2cYjEju0hxQVLjQxYYfTOtmO4UI4rQdfZClvrv/sNb3AiZFC+JYCmc8qLTw06n4Yl7mFLpO+hFaHKxapjkwEcOgcifqzeSb75sPvuqQ/bBETRqKpXd+OE7rd5Vme1SG4vhQTD55R/9llrfP2tev2r7WAhuKJTCs5I7TJx7YFTR4BROoBGVDmZKuylWxWoZ5g6WxH0RyLYP3ggwQtakLbi05ewlSXbVJD8WSsmokhhYluYL71orLO8wYy781JGfcH9fZx3HTkUueLcTO0pa3J6AinpS25MrppxzKIml3vEsZbWML25RRudSywCyrTXefyyAvAqsMKHs5soEuBII8vsfRRw4E7OkO6mup1Np6q46UDiOpQwgPho2r2vL2effc3sWOmuY1f5+lb1Jj1syT3k1XDgpNvCu+pMUa8/TV0IKfW/wUVx9THaO9frG61FntrtRKojPHdLCwG/HMfYkFLT6k75oSSaJ0gUaCoMWRQHKE3kbtE9uWUAC1p3ZRWFCzJntwHVEFUHjyywQzccjtYCXCgqsEHa9X5KenttveYWMWZPL2i2fi6/ne6emrsslDO9O+V2/75nKQ/LascqeeS6vVlv2vJ19Lm4PonyTWwKmFn7EGUX25pRp+/dhRU+L+/o9y6Wl9QELJIozrkxZC4cXS/S+OmB/TOYiF8Z9hmc4z4O5dXDWOzG5NmiFaAy1mmBpZojZOT8zJnsCSY9cbkc0swcHveONWVy3YMxj0Nnr8rYlOMVcqDubGalcoA9p1GfPEYreSr10tMHQjCGQET9KFZCXIFvLd4Avpemv4lemxNaNtjCHjF6Xk5ry4w9x+vt7h430D0rmTKZwvaDOgxLduSkHWI87wgYW1usnPU95lRBqlgRiH9szIb2XbRzkAjOaZFY0CysD1jQqD+fWR/qBO69IM87MtqSkuQsz9ExtUHiwxzZ5UKP6nZrhbl2Uxrs72h1qROF2ABZbWPoO288Xtd3E0F80uQhdt78QKa01Stjr71t1m6UUcCT3JYijrlRM8ncWo5Qdm1gCJDlT7fFljokc6weYVnzJtvJTkpBiZA30gnwrdGbZqUoaFoocKdbS2mL40Nov+bP/IPtAeo/BodqsQzFrRvdFJw93cQPieH4OXphfAfBzjGzbXSRM1u3if0GkopMrkmronX434yejbs7lo0NBp/Sji3hxmRWSmmnLhxxbVxbPThhz2tK94z3I4ZxZAxp7JvcOthbmZtwjILdU/RN1YcUvX4gHvGuDe0LCeZY3WjJ2XonRLBgpIwFKfaowosMnZgoyDQnouHDUM643f7ivOim/J+tambDvWLnTjLevss81PjVrwzzKTAjFlrm/2nIJbMaJGSLZhPk5BiMn3e6WPqbQ3Wigqg/M8s8l9EmPn3R7ePeR8HleQS9+TpFAPivn4Zg4rQb1vd4a38pyOchc1G4J1rQzJCJ3TkqvbdtM42GRUEvIlLNojOsDLzTGv58uTuR/3NiqJ02ezmm292WDqeDlSqaQCJhyoaktjeM9rySXXcl/iuxKjN2vZ46FQI3VAEVvng+7kmtBDKi/exdqGOa8JtW6TYJ/mCPlb9H2PuUm+rQAV9p0bIqlNdK+aTmX6V8Iq8MNr369QzTbJrCc1v2tHwTpqRpRv8kwx9AI8kCPq+XQhWhEcdS8hkNLYItuiDgx3x/mwB/SXynzswvglsVDG6LHuw0AmIN3sj4C68m4DKWjn3bsRXqebT/p6fToLJcE/HTz1MqIDuusNnPq/pK5QPSv+YCc3SBV/Gn84+7Yl45aIF07rhl643JIfbw/qeUt8b1ooTjGCjmM/VSSqz2V0SuVFHsKhSn9f9ZzcwyGvhec2F+7wJacNX/X0m2PCbpVMmLzaobYJlkDARYMWNxxx1nbSzio+Zty+jAvh3uPjvSSOyhUOiOJQEHyUCg47LkDEpHiby5VJMv3AUrztZccwFs7xCtGCMYnjEPmRW+N7wP5w4XAl4uRJbK+qu7bdp2jnLA4+C3LiQJ7pyPDska7dGkI1g4jnZ+9/Xl86Ed2DWY8QmTPf2+NhLLKKay21fK3dCKX1o153fnveG0M/iIeHTMAU9OQxCorFop0Yfs1+/IU2Xy9vH6PoHMynmpvvWF7+IdLhk195Pj4NHOh1v0zpNd3Kw2cRjbG71qWG2tvMXsGTD56+aZ41KqDO7xJAqXgCezpe8WBPPoroNU18VEAXJP9I4WNggrNzlSJHecnXmqU0t0MXzUnwCFwYfqeAbALLViSIo4pmz0j0a8emZH9bhijH8JIanS3mcDRFt0gCi3WCgxgnnTdFKzDsNvvYvEyCXXe1KsdOgJFqF+aCQQOr15zJ6QcZunn22/CD89E7tVN6bUlk3elxC2ojy8RPdw9Pti3koSU3pkVHokjx7MUm/i6G43tL+mFXPpkYKY9wvwkaBO/ajutH7jzTCvC9uJ7wkfgZlYH+PtMlqOmj1Y27hcwQOS6mj/Fd30jkIKDjtHOW8eeq5non4eNQzi9IJjcQKJz5dYow4TClqj51lpbUj2ebV7GEhmageQiYn4LSyVppicTkYaR1hxDaU1N1Emv5v4SsTzs5nxw8DUPUSVfXrKYE/LQ82pGZ8BMoXtWm2O6UpTc4e850JKKQ30IZ5yBB8MJcClC+le3tjlNlSSIocFGoeGA32Vn7OFs2fWs9c0+mpPzuSvuzN6NHQyQPl98ujT+ux4ukDyuIGzvge61l++Dj7YpTrmnd3lyhs7U2HNqXLgXFpvGf3rlZfSZsq6/5Hn3/rNPP40KJ6WcuTXDhziiPb17zyJ0PSY0l9xdHOxSH05NA1TUZ8YESDyrf2TLcv/WQY6i9jAeXd9MdtydC50kLm/Tc3IsMLyJQU7t0twaLilNqzqdXkkYM752SIceD0iMwSmLDn4wT6N+ZW5fZTz463p+KxxH3vMzScCWyTsLbKSxp7+Up6jvERGnUFfaEw/jfkDY5yqiYh7HfV78k8WvQzf/y0zhlDl5PHRiNi5seO8VSwmERQ9cfz3oNksYgWX1wzdI44CO+PNJbkHrRQT9OvV999+fOXBlnEoi40r9BPO+5J6vTHlI8XX87QMSZwbIDs1i7bf7rOmuRRqZS3eEKTpokMWZvyfBbB/O6u/BTASPJp3leUnPy+/4SGpcht9pt4ER00d7P7tsYs0kyzj3h2HrRMTDsWOIpcIlYjbzEWAT4n0Yor3URxcq7rzZfmhf4E7bTxFHsgl96KyRQDBZ2v3APmKNaSSfjYaIwWNm0p0ZlnXs5Mjk6Mpk/3q2iwD4C2TblXVWRtsphG6ZInwydfhfIPk91fgjTrnqZqP0lPQLbZqWEgtf59Fb96UtavcRnHYrjT7Atf0zJkCV0wnfJtT/i/cx3Uo3xZvESE5/qzMENcDpZM4UKfxilrNvNenXMykF588zIX+8W/AQlTjMV5XjCiy9Vyu9ExZ4zNGp71ly1n7yymn/p+YhtrcqKed67jIa0mKFNmz6LF8iCXPZoPrPdlC3nrJhyeXGosHxoihqft9NUpY3WfsV0xfRG4h7158CZLKkdsLQAiJ3UXKCMOoV4Z4p2CoOZQ91XmbabOn27MEdMDvxqJQ1nwMW5naqa757DTa4iGTVpZzgoBEmHSt5XYr1YlTNLaXFmx65kP8f9kWX5MIMsn71miq35KrOw/o66egtBfW0w0bM+N5aGqsELueUNAQ2MBjUTZK27npardzwlsq1ltPpSK+cFJ3d2ZWme/ovUGsWv+pdajK2qI6GhnOVtE8YdEGFyKWA5W/I5PhRMQ5OhVidm54gn8u4um7EKd1wUzOr11wMxqymKzS8yY/jKonWvX64YK9PZ8CXWr7Yq93s3uQf161gYj2dQEXMRvGRSLPmYoiw/d2JALeV8guc5ntp8T2uJWVGiNbCrv082DPd87jxPSXVWy772uUadaRO2yqDlTri/HP6RHqXX0oTt7c3b4pMpSVHXAbesHqOfygp8009Z225WPjFZ+ercxiUJxJv3MyvxJ1vV4He0zbc+Rbg+FRbI9iPdqTtxW9npPPNTXTD0zlKfXBKQmomNLlU/Mf8makgldo/M7WFcCGkajtGqGE6w7MOE2xHFRuSxPForKmJSuQx6BeEAnjuNSMo9rHN98/XXQQkS40aRP+7cJAjWvY30d/FXR0l6SlSFcqwF2MhhdTy3IGpH9dLIuNTkwVgbLnuLkq9Pb5mdXczmDtCqBWDuBuVpJbIIo1AkmOeuSl5iqnaP50/Ho+nFGl3ZGbdrxa4WdZNTutzah46uv8o9r5XqfBrUypugyCikz1MNlNzExTzjXFTVngwGUjEOTpaPS+wGHCO3l/aDPBBPzVdmyhg+uF8LaX7i8X2R44/aHfITJDvKN1gdKq3lrCArbKyofHtNJxxZq48MzHg9Xdrnubkx2JOIp5cbJSd4reRit6qP20Mq+IEpNiw1isWnOra+MxL/efInpbL12Sc5qTtEeVW46m4by2wO91HFQWvLAKLj0Xz48X6m+Yh5rzbmB8MHIZqz8dThTsQ8Ua9iKo9u65h23B9LQ2iIOzz6gv+DNXCzp42vknyW+K2Y70OSoxAzdb9s0DSb6CwktkbqPCR0jdwk/TG9arhdGHZp71ZBV+kmCbl0VJZeRRJgitX6nJG5T9XHSlvV93P++7UTV/nQrMQIYt9TFv+bniciPDfTxa2bNtRusiBOP4VOTinCAcGicBaYyJlRs5bkGNzu7LaK4qaoVBcqaTYOV1dfcwTUR+zAL+dkWvi5XFNYMsDR8MqxML+0HXPIqIo16M0BXRFlFglFl7h+8ZsZjYUnagiwwwJyhliANEySMP0RDfVxyjiK1SgZTCHCqSBcc6SxjoufDo564t1rfhLl1JzNG0Z1p++YNKd1JoaiEEztRvXCGDMU1zjl/MdDd4Qz+dl2OkO6Qo9WtrCiFOLBaI+DFonI6kklY+Y7u0TZyOyokd45rYOYMzFZC+1YzdJEgW+dHLJ3BGqDXOGtWEyNyyp9xDs/cy01cSE/rD4SPExjertsFejLLUKhzdtTuKFeC/HPkZp91z+wM1Fdf4uedM9+Hcs8ssjmqPP2zXbrTrnlDr/4+OVwSh8nNukeirarrNp0NKsmnOpp3o9STekCZvV4lcClbSJUUf2sG25Q6JQZdTOvzdp494m6gSLFIFDw5wino8oGv6GIpG2Kb2kjgHTssqfhTAAV1lD+syXPoSy0qNuHsbjuy9lB3DRBbv+AKcWkWqR9LmaM8V2KWvZZhKCwI8Xyj8RHzH54yglmGFwVHiM+Z8gqpMd+oXKOuKIq2dp62CzO8L598Z1mE6GxByEYTlxL4/a63IYmd2OJsUaePmBtrL4YlChZX3TX2MiutYaViUYwXWoKLmutB7t3W45FKAAjGVSXBCLGhhgtNsa/2T37IQKssVXoYxNzZpT4MWgLmuHJdFRC7k/JDe0GrEXe1vx2vGt1dxC/2DkhzbtpuURF6L5ciuqNHBave3W20z288sVB3Y9Mr7W/04/LqZ3ln8Y3UXqkud/+3FFEF6LYtJSJw0L0nDF4XSFRcjjUp0HMCpukl9DtO/Plw/kqPdN90DSu+WEgBDOSUSlVn9oherkcN9gz8gjl5jEl6grWjqd0NfG0vPdGD8yYWPbKhnPznWao+SysyuMzq5D7yZqQ0Rs50k55VXpNPKp3YbaZbHbS7ua2RQbpQ12mO37Pd6P4FL9t01uQyAi4VdzuX9XMdJuoom3gv+VGSOB1taHXtHQ1BJz7dM/m0XnmLdNML8/RhCkmbAhfxYLjlGAqWEdmz4qtN0TaO04Cx9NQsvMofF3yKr5q01P6S+/PZv2VK/zffyl0K4v1g7xTjsQ9ZW2ES2EMLB6xLUc40qVhHw+T8bnBedgL7a7rO2YYXcOYXxjT/C5YXQ8GfSgYJBcEvgProu93t72ymHqd9IB9Kp3bu1Eztrlac/qKn1SnpKuOxOP91i7+w3DtXvwzd1m7sfjVthvdm9acTMaZMlimzdG5l1hzTZqK55SZwgzOu6GdCGeXEkd1wkZpXOkuCMvblwLJabDuwQiU7sWXHma6gH32LV5nnf7Lpbm3ZYwP+OtdCdIUIAmCl5w9c9XIYpMTVmr8ezXNxV/TPm/ahGu/oT47qtaF3c116D0HxFFRe+G5UWGQLvmvPmfmIVf1MtO4lxcZvHm9dkGpsIPHtQYx4J8gk1C/jyBnv8cd8BTUb/C5QHSCWn+Of7xJcoAvfOZ9IiNJp7Zhy8sgzZuv4/GPOTS9vrfwgJpOHUBJ5cYs18uLs7Oj5LF7OxK7wneTjB+k151fvj/a4ZIRhA+qLCtGJvNmSV1/iExfITK3RvLUaXBsvtFrqQWMi8T9HG6QktCjn6D+zLjltAygr7C79dKl7MQN/EnDA9WzzmbPJb+UnXmvy7Kka8uNYNjzmJZ8Jc2Kc3vOUAqBDRbzL39N28CSg/G+XCZbpdvKkazm8gzu6e6RSXUQ1Nsm2NkTXTTJ/XEcRo5V7Zn9I+2K8FL3Lg6VybfthMUCq8Xv490hzyp8FwrdHMnbnPRE3rfqEQZkpZ5HCCT3MGrUpcLqFNNFcPTmQTaFViMQtcyP09GVMNqM7IQ9fUvJhjEKaJk8PbG01jy8cTLomN5JWcbvFs+iT6wxPikvo+xUDc2IJjONrUxGVaZJXxKTE8Po8UdlPEwJzOCW9AFfdsyEeUFTjfGHRSKJ6kT7nJa2w4sWkzj27x9ooshR181hI+GHIY2x6Q3kk2yJ0b6KO8YFw1c/5J2JezrThpuNY8TftA1AzoiXxaBY7xGBrUnKwrkZ13DCQ+1F3+w2scdagHIsvcivZ9p22IiK94Xf5Uy0XXUGwssoH4OXkF9pimnmZ0xprJ4P8nMTQ43f7om/AhvTXPddSQvwHjvn5X0rYWN5ST9WqyRezXZEw0VefrPZLnio+sXMfMZsAWrx+eXVGd0ScMEBB9ZqhLhQdVmi4VK5IDJ8382Sq6egvhij9BZGBPdbNKN2Z9vAkjFg2IDLcjAdpGu5MQTMqTBKXK5e7f6AegVSvpzNDj1990Lctq19y50bn56RYJHp5KaCalV9eMisIi8dtM1vOVOsLmH9P+ZzxcUKZW5kc3RyZWFtCmVuZG9iagoKMjkgMCBvYmoKPDwvVHlwZS9Gb250RGVzY3JpcHRvci9Gb250TmFtZS9OVkNIV1QrQ01TWTEwL0ZsYWdzIDQvRm9udEJCb3hbLTI5IC05NjAgMTExNiA3NzVdL0FzY2VudCA3NTAvQ2FwSGVpZ2h0IDY4My9EZXNjZW50IC0xOTQvSXRhbGljQW5nbGUgLTE0L1N0ZW1WIDQwL1hIZWlnaHQgNDMxL0NoYXJTZXQoL08vbWludXMvcGVyaW9kY2VudGVyZWQpL0ZvbnRGaWxlIDI4IDAgUj4+CmVuZG9iagoKMzAgMCBvYmoKPDwvTGVuZ3RoMSAxMzcxL0xlbmd0aDIgNTkwNC9MZW5ndGgzIDAvTGVuZ3RoIDY4NDgvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjajXQFVJTv9i7dKI2kgwISwjC0SEh3Ix0OwwBDzMAwdDdSEtIlUgYNEtLdICFIdzeCCAr8xzjn/H/n3rXuXbPWN9/77Gfvd+/3fZ6PjUVLl0faCmEJVUDAUTwgXj4xgKy6rpEIgI9PgJePj5+IjU0PhnKA/oWJ2PShSBcYAi72vwiySCgYhcbkwCg0Tx0BB6i4OgBAAgCQsBhIRIyPD8DPx/foX0QEUgwgB3aDWQHUeQEqCDjUhYhNFuHkiYTZ2KLQ2/zrFcAB4QSAHj0Sefg7HSDtCEXCIGA4QB2MsoU6oneEgB0AuggIDIry/EcJDnFbFMpJDAh0d3fnBTu68CKQNpKcDwHuMJQtQAfqAkW6Qa0AvwYGaIAdoX8m4yViA+jZwlz+4LoIa5Q7GAkFoAEHGAQKd0FnuMKtoEgAenOArrIaQNMJCv9DVvtDeAj4ezYAEC/o3+X+Zv8qBIP/TgZDIAhHJzDcEwa3AVjDHKAATQU1XpQH6iEADLf6RQQ7uCDQ+WA3MMwBbIkm/O4cDFCQ1gaA0QP+Hc8FgoQ5oVx4XWAOv0YE/iqDPmV5uJUswtERCke5EP3qTw6GhELQx+4J/HOz9nCEO9z778IaBrey/jWElasT8Ckc5uwKVZb7S0FDRP/BbKAogBDfI2FhQVEA1BkA9YDYAn+V1/N0gv4Ogn7B6Al8vZ0QTgBr9BBQX5g1FP1H5O0CdoMCUEhXqK/3/w78c0UEAgGsYBAUwBJqA4MT/ac6GoZa/1mjLx8J8wCY8KG1BwLw/fr9+80MLS8rBNzB8z/03/cL1DKUUVRS4/4z8b9jMjIID4A3D0gIwPNICAQA8aMfIqL8AN9/ltECw/62wfefXGW4NQLw6E+36GP6V8dufwXA8dccnIB/1tJAoFULBXD8R+SmfEJ8EPQD9P8t9d8p/zeF/6ry/xL5fzek4Org8DvM8Tv+f4TBjjAHz78EtGhdUWgDqCPQNoD/N9UA+se06lArmKvjf0eVUWC0EaThNmgx84AEefkE/+AwFwWYB9RKC4aC2P6RzB/86S+rOcDgUC2EC+zXtwWdxcf3XzG0vyD26O+HC1qXv0NQtH3+ua88HIKw+uUzfiFhABiJBHsS8aHlxC8kBPAGoQ1pBfX4rWQAkBeOQKFTAOgZfQHWCCTRr2vlAwAdYXBXl18o0T8qQ1yRSLTDfgsAve2/1r/tDIV6QCFE05MIyOMQu8qQxu/l0gzuPOtDeIvLzc/jjLoihFDsU6+8bdXw0xXHnGWeWZXcGUjR+vI2bHTSh4Hr4Puwh2lbZuBCslIOCkO+a1XmiCe37+Jrmw2U2QpBbzMikvJ8lfwwXpvp9jMTHJMHiQaTP0NF2gU2Szfyr5pdNo0f7QIcAYXfyFiSGVAx0tnNu1hRRiysy6h+I1OyWAqkSaqrnvLTkSusKFjsuUxjNN2F56pJbFr//HxvZndXisDJa9WOMuGSMEo6Ki8VluyBhB466vhMlVoXDHYZoW+yb5Pi7tEVOIaxL2A7Vk6AGBlZYzvp+BwBRYx2A9KwCMwEpOZtlZHqhsbRQX72XnGWn16eeK/YJIZuNSL1kjTBWOBeEVgJB2Tbs6g/vnmj+fi5YvX64lSS23DALtiINStSt+fozsB+O4dszoJhlPOR0i0NzcvIpc22tDinBgnYsNld7VIhuVHjGd1ZtUoSH23heWh0/mfbrxumsnQvKCjuyN5zODbcmEpXPN7dxAyclPEAkL/EZ9w1yMAte4Ahv2myrG5xqaR+EjHQIfyWG0K5bDnjlL1obFkj/4m8xT8L93DAHDEnuFa9Pdz/iiRasVx3iW/O9NocOPf104kCA/1rtUw/BBA/7DE/A+SjZIQI78a+jGWzTjRWhffC+rsAecxKYl2qTt7qR7Q4/hT988AYfPe6E4YIxVFx+vs129lAk/E0wS8NRXZeTV7OS6PMD2mU8ZIKagaCZvJovHbKPJavCTEtU3l+aCi9oKBNpOk/pAAXSZHLchVEkc37Y/ycfAPDqp5Menj9YKfcNfUk40aqiGM3z5OCMr6uanH8AsjqtBea5dI1hxyJuKsre4Fgr6Me7x4qlzEeYO6OxYtcUmlcZdAvOLvNqdRX9f3MGZzEkCrVit3+eIrwbmxcoV0dVuXrEhbR52nk7bUPOLyQknwoP/rwJ1gyImNX2dUljZLl/Sjc90elA4ZuEpMNWYMorlQIQW0nM/lxz8oyXnXz9Wvbh4sloWkjnvHdbLctX1/Uuy9//2QJCeD3J5JGHQvlra85O97XFFOxw5tPyArvhJwZfxr2r5k5ZRVUatRyyyPgOdI34aDbAov0LAhZQ5PVJmJmKxr4LTxsNiFh5m/UPvssWBCKyED2mgJBuYudDxwvYu9MBHV9JixlMiDKrUIAAixVtVrezlr3M0trzsU/k/ZgwOH3Gh9wIGmbE341F+LhqzFX0ZO9OzOYDHEz2TQPOw7lPbmHdXENwXGD1LEu3E+7yZg8fJwOJmcVuGw6K/KJoRBM8Vg6W2wiuRnAeEdUFEL+lqMwJvUl+AlkX2dwFi7sZPsl3ZjO2svrRCpStZ+BmGqa7pI1wuiiRgUBjHQ+6R8ka3l5GIYTvTFEcHLA+xVkfdxy/jGENCtBhUqGfNz9gWDdh0CpKzJfuRNgGrs/SUivsYR+SnJS4crQu1WRWnl/cai3j8lHELTjEtC7EqA5qr2yUPjB9F1EGF5iXmqVkpBg54zgFjclIMa7fHI6xQmmBijw42VKO8397lCcrkOsCiksP0rTFOTIIe3ZfvrRETeu/jPXLRECZ1Vg57uYx8RHONnkHPE8VGGiAmKYwuLiwJDOtHaju9kXV01ilbQ4Vbty8DMFlNh93P6wrkf1WeytOfQyo2J97iREenn1kQax+/TduG8v8OWFRNSW7FbSLcdemfuswqSsR7fZXrKUgMbXvi8aPTiSy6e5G08nNbFyq0bog1w/ovtTGP6PGxcOBwHtSP81fI9aQ2sR+MySYtDI3SEnqiFkCAg0q09WKTod6Zi12Mq7YOIrfr4qckU60xAjh8eltiDip5/vkpPTIAmoeFXeFxNd5huw0J9J++2L3O3nffs53zZxUecMN2uBPe92ZwlCtztbBvdYJg0fCcs/EN9mTtppdyRg5zyIVWkmG9J1pxFkERiu3tsvXh76yPh+KbtqGGdwpCo0LEW/fkcled35YXDs0xLjjpB5kwyVz03aqnSE0dlcaimiZSuhVeN5dE/4YsqTe6l/XM/M2uD79JYrVDzTW163P0yifJHMn5o1ltEwFdMdflRyP/LuIHNW37aHZdezYKPAJ4Tv+7LhCO/siXGa7jXwudsPQ1hcRag9a1YvRTkMH1cC/4Hsy+UfOFry+y63s9gJJO9vpKsPGgqXyA+ykMcrnQoRbLPLQLi/8zK6gA45PibQV0ToPCLRMn6ju6gcPSodQYzToER9yBnu7flwdK0y/c7cre2aR6mlDQmMGeNv3o5tvQpK3TrCGI8N0JunoSxxycF5ZItwZsxK1AffX/kBpoKRTfWwxl0n0WKzEUGdW+9zMU2y8F/PC77H0E1bv1dM6aGrflKoOGDFkHca1MYdMdV462WdFT1vDB8yQ13/jsyMrbbXp2asxyJnG/sYhsN0e9gfLBWf9wRABRGXHmdHrqxmCzjRD0qgk09DhEjc3ufASJ7CQ/nTI0w7qMtbJISPDIMHaZfjFPbZ/Ges7m5lVBUrsIw8WTykx/f1fRPpLE9ze4ghqdjTMj8MbLDEArv0cmlW/dYtAyzj1KK9bmDsDaDJ5ID2qL4eKRu8Sh1iSjZE8fjqs24J1Kp55s/YFH4eN8y7wG4apxacnxxBKm6YRM0crn71MzjunyChxxSwEu8gKw2Xy4PRokwtwsoLbvyCW4BvcyLjBwtjD27lFKb784M5cvAP9flnGjUIhCTlTtW+W9EOuKZriITiiPmx9bzwEbyWINABfl40XOBkxdxS/pyywkOMoDVOsPfLYpMnjRf7MSRNRvEEq3BthI2FfS9ntCw5NEnAWjRn0uFy2yr4p7pOBs/2Q763ChdwLCbqTIwHRt8U3Ud3XQ868Cy4Ym4s15irDHFL3UskpI2cJa9MH8vkTXcNklXHkXKNaLlsip3vELYl1za/97SP23xl+KwIpzsl0pCpsTKf0zvF2dLV6gKRcYNvI0wdMEaz3BXKaTQsKfyJZdeQdM3MR7/f8Rs+rmWxJ8iUX+J23Fbx+3an4PhP9O+fnE7e2ZBBhEnIN9510r8rNMcmW2GQ3tLx6dYxmd5beET1Vy5nEn7BBjX2BN/8NCH9QcAVKxaomy9jXREXk5n61HzXeCL54Vp1kWec63ljws7TbwUTsgpyBevhtxogDpg+ERpehNlqk3vMUXbMPFUdk+4tkpuaz+496Iq453QhkUMcQ7m6Vu/pxfJqPBeTRLKDcQth/81eDyo9ZMpzcPiUIpYWz7+P+o4ruaxwqmVSZf3y3UOHwdY74HNM3HCnj3RlpC1LKcRMLJVmkWepFcCfsHr7Hef2pyk3/GsFI7n7dS2dznW9FBFlUYpvgtIUm4XIcMWl6892p5Tfazgu+BlUrga9Ng2+g9S5xySdW3q9YUZKU2z6Ez7fwA8lZ2E/6d2iiNitec72yRQm13AV8DXqeOBbhvc4knUj5uR2yWxUplBghNTA5Ba9ilEKXDofW4rgBbeQJzt+dfQyjpIw6CMrHqPX66hLoJeYfT3PtzsVpDTCktYGAOU1fl2h7FDhJsabbFL7xoD4Nbm7J8JfXqdL0CDlQVKovvadKb4zCzW857cFszC5yLivmbTDpbUPdvgY+LF9ZpNjGxje1Zgp0xguB82+3/wcRbKQyUX4sssCR2fxeZ4RG1a1hlDfSrjw3rjFXnOhdRJ2cTjShM5JVwk0t8s9PDhKqO9S9j6gM7/1vGSLRhvY5Ql1Cp6I4B4HGM/FCcXwGdcuBZ2KLLnY4xVSY3qDKoUmI2YSSCzinTC6q3O8TgjraG13jhnfdGqQlGQnUi6PknbYT8imzjMXq9wwVmwTk2yp2TAuaQxpXqnvmPJXNWbREa7YMA9wiyf4dkqt2vkUEjxeydT0usvYWm3+0rare6U1Kq0gfkjgSwOrcKpopIKfjZQFtei3S+/TM1fbLx5sY4LxKz4BLfjMMvMb4ad4y9KwNru6cTZtUZOuy8ibmiERkppIm1097zGhaCe/F/YoRapZ94kIyhN+zfcChCd0BVvWdxIM6T58UD9bXPyBFy+vmY9ZHEAe+6aKOHwhWmsWN/F9UJQSpuXjB0JMn4/Oyj6OU+5PkAi1S6tf3+9Y/IRV9kkXU9e2fTk1rzKhGOAW1eDMIwcfYTTOe7xeNVMTsPp95J36ZxzmgMZXhhZXZJXKo5UFmk7pBUKtueA3pGEyu2zdXx69+ZFntmPMskD9ZeYxwO3K/1U2OU55oGqUIJ2WI77lGNYnGrbZwi5vPE4mQpfqlBXneqWXJWfYUbmPg+1euo3e6fM+ON9b9J7d4gm351bSJDvELV+8MhgqvIk80RwUU+SnOfSMlix1LubAnV84ekQviIc7xsRh34wr8/Uy0rwWoTP2bX9h0AToV8Eo688/T1J5soW9z2ZPqF4TvOQdW+MU/AXjDmNI8Wf/TaEnUPfaaEapC6bG84xpTZ+6ysdrgc3JrT1hS54Ks3s7oKN3pEcawCmGE9tCQ7ugXQdb90R6PfWaldp2c2qmrLR+856vJ45QLKVXralYW5jg0C9PHJ7eG2Ex/tJr3xEiyUMjwYD/SrmPUmWDR0eaS+tJLYtry/Ojmn3O/tmOSTccM2hi3oerK1avHxahqS1xpY8NfhYgizOvw6vEv1MPyJMQdompSbjSHMgRbigvnvE1J1UE/tyWvdudueY109Oy9X5SZOTEP3qmg89tVYfe5Fl9NXP0z/OZLs4Y7gYxn8sXb+GMgckogkoGl1jPEWxQkZ8rkY9udu5zo14C2LPtaS+kQoe3naK8uYFS1DuRQI58G9849bHpCRp9nsoyru8XVs5UwxUmO5Ed5iOkEVMRZGuNGMBpT1raznjS2Qd6CRWwcnGjN3Cg+QzDs6EaRrmQt7vcve2Hyh7hl19WExOeN0dzaB4usmLHSocZqgjqbRplvLvHzssYzGTk/c0ZGWbXVDYqO3Mfyd5Cv3KrKPSjGmJXuZihUU498xRIp+5uylNHhLlwBlPwilNtWzIHgyGn38EmZs4oNc3g6JjHVCBGgp20UgkxXjKmc3b1QzgWaqIl5PkUPPiNSGRMc9RP3vPbhcycGDReFhmhd360Sb5pqhL76ZmgRg7bgSp/oJ9XuPFw0j5LelgDU9d4c7x5DXmVTnUywGBjULVKqZogznxNdtz0+mbnaWeJJpJpa50nkuf74WsUUTakm+1FoAG2jpSIljZFcOO64FXaBx3cKEL1C+Gg/KZp5gkvjNA7wVUT5jgcUm0rHzToVGCU7mGHP8tix4AfdDfOFtescbMITqbI3pQS7ZH7bcSfPcih8lmqTdIQukd56EfSC+Cno074cKIUGEbNNX2Ruxq7TgAk8QPeWHZLtAML6e1Akn5UeHI2oxwDz+8MDJoXPIMeubmQMNOwoo4l5MeyXp/Nnz+GhsxO8Hab/uTpx6hQHDomsW9l4cIWciPb+ppNQPVxuoVSIz9fq8u4UtX+p7k79jcILnB+WeagluXyYpp6AZKJyCSaSreXfSSs3l7yqTq07QgUUOpFx9vefhn17Ez2Mue6Xd3eWvsRHVm9pa8au2R+EK5v9GGgR7A5ZmNVoGU5OLbvC/ZoGt+evqaSWFStebSdSm5bJEmLiP2oe3xymH7QLpWcxORF0V1SzPN25YF3Pl3DIZ1ktX1TITKdPhfH4R9/dGEWvCRLJO04LSxLge6ozG3Wc9Nm7dKJxAQ5xBnnqo99LZipEpEWbNNL1Mp0Ks/MVh9++1SntTy5Ez/Aei8Cf5a7ISm+ORq0ntTSw9XgPvw+aMDz1pD7lPV9nKLK4TDOZRJfPXhqaTarmuFqj5Y/ZrNRIna26N1gPkezTzyRMGxOWmi4Ln80oiij3sjhdYaric8tPhw70+Y58ZKEH1kR4iaVuBhpe09I3U84O0U7Ao8QmS1z5AGEMy0cnPtKnDYSW23ei99HP+TUm0nJ++n51xRznF0fTxtGUDyojnymd9mystyf8ibvXgdhr/QTOrBogC6r7uYyz+rT/MYONqLd5zCWtdbLPK1gfc8UYyoq8m1cl0nKBFdyneXWSN+rw4tpDkomVNxHup1CqeQImMXWHJiuqswnMqSE+LNtDW3orPdMfemZyq2vlTxfqvaeJXpU6Mv9LGbHSnvmdEjMyP0V8PVWZ8UKvZ0mj4ZQ8QUupn6FgmLzalZTUsvedVFSJJe/6uyPzrxw0x77Nd7y/TPSZSaHfMMqXciqD/L6hYkZ2VDqwQ9t9vDiKJYZ8Otew1JUSeZZ07EJMl2VUSew3kKwZrpLZ4zYOy+R5e4nNgGKeRpe2mDfRaIpHpl+7pDBjoW0m9WXP7phM1eBzP4dfp+D68XVRT4ETIf1Orxs358YkRVwWcNwERv0zfZt6hQY5PSE473Qeycq2ECJXbzmJ9ClJ0z2pqjotsO3zPFb/IiaepYc7jKibgvnaHbyjlpNMpuMoa620W2t8GrCa0YGApIcZhn94sy2R0t2CTS3LhMDYCL0b/eFmEUDqDKQMmudScaz4p7V1Q3b4UkUkknXtkMA/wPVk02uh9+AtlVVWnYbzd5rz+iDiVvkZE/dLShtaU/rgOVOAlAloHKm9Ls+TthRu/39H3VPic2wn5WwI+4ccQzaCzRJ4oEnHBqjcVOZ976PSjwPUsVpIloEHgg8qZH+5FOFpci9oCcTtZ2ls3E0FUwqoDl5LL0qU+fQPuq94eJwj3L4GHQuAlgdtu8fo7eIh66N8lDcxGmHaRQraGcEfKbDzCB6eZB8FMMFa+6U2K7FCp5TEN3jqsylWmKTUC9hcMQKazUpGso1wxKpVQoKBm6P9+K9Z4S+LAEm1ULiE+VXkVimgih5ySlqZf4G0fkqPVLrL5Nfw9WIz2UT74/aphO5y3wluN313ioNOfLF53u1dxZGr966UK42Yp6/eb95N0tKq2jTERrxKSR7lpdnYKR43cyhsrul76RENPdGMB2DmupafFgFa5dHsWi084kXQctx4/BA8dGZeQACkv1kJQgRRG58Ul1dPQe/54ncbtuyGYZOL+e1F1uOs/ZxFlHwZxcXaDeJzmYx69BHrR9+7ZWzkjUcyyCqVujaUfIaekuVf7BEMJS3ih/uf2YdUcGmpaJNXjwbzJj4gqXHeBbz+QUpPR99l9ectAX9CSCZ0P0rxu0+eiIDcun7uVYTmxWma+aS+RCxjsZ43dMJgmIdLI7t62Oc/e3oAwrWWJTvsTgzkRLuJSCicBjPs9ZI0po3+aiHLOH4rU7PSmgx1ce7dm8Jfd9Rc5PFaZUe28nz5gUUVhVNfDeso3tVPGAjqqpIZXHAV8USOIk49So0CP7JJWjm0c601/luE7OtinB3WsDxuEn49TkAuWWXWz+Uuunq9k7SQc3AvYBRS8M5a11xIcaV/5Tw+uXBjdPj+TivThLlKtuCfIk95VaVKmImovmvOj8zWzM3DHFpuWsYaDCyStliyBU6J3VAp17FRHgEY3K9Yli0KzaVUSfe5UYnvgJBNxSSlwfCh/ObJMTdqilH2rZnDiRFX7puEguZs0yKGjrD6J5v5fCam0N8qRl5XYreFzAtmU9mKkreSJ1XXB8MGKgMrp4ZQk+JR5PHcKK9uU524d0e1GNeB2/cWpNpK4Y3Xgv2es6+R2kDl05uPJ4dtNgLvtjEms7uc3NWtVjJar0Q51kqmbWv8w7aCMh7HMCz24ld+NZ6Jm06v1tkOfQ7lZ7cOfXn9UVSJKXoq6mPXkhM6aRA0ldvcDumHPIKqNl8Ft0h8SsVeK70UjbXD27z1PoEYYk3tGooblQp9SjbTeW983mGlGd45UXQJl1Ovab0OT5lkH2BW3Wbf+JFnZpwbp8ySsP4TpFRrHfkuqpKk6wlGdAllRNCTQU0M2u6+iGpmAfsJc1fe6ogfpMha0Y9allXuJY9wc11Xk0w0hNAMjQwFWTfvFfa3P0zX7hcILYe4KDDZlwXMzRpks1r8z+KMknkCmVuZHN0cmVhbQplbmRvYmoKCjMxIDAgb2JqCjw8L1R5cGUvRm9udERlc2NyaXB0b3IvRm9udE5hbWUvUFhCR0hMK0NNU1k3L0ZsYWdzIDQvRm9udEJCb3hbLTE1IC05NTEgMTI1MSA3ODJdL0FzY2VudCA3NTAvQ2FwSGVpZ2h0IDY4My9EZXNjZW50IC0xOTQvSXRhbGljQW5nbGUgLTE0L1N0ZW1WIDQ5L1hIZWlnaHQgNDMxL0NoYXJTZXQoL21pbnVzKS9Gb250RmlsZSAzMCAwIFI+PgplbmRvYmoKCjMyIDAgb2JqCjw8L0xlbmd0aDEgMTYzMC9MZW5ndGgyIDExMDEwL0xlbmd0aDMgMC9MZW5ndGggMTE4NDQvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjarXRlVJztdjaaAMFdEhjc3d2d4O4yAww2uENwdwLBnWDB3SW4uwR3d0vQj/c9bU/X+do/bX88az3bri3XvjclqbIaoygQYgqSgtg5M7IysfABFMG2pi5OqhBbRQivAqMqyMIF8KbnRKKkFHcEmTiDIXYSJs4gPoAWCAiQAJkB2NgArLy8vEiUAHGIvYcj2MLSGUCjoapFS0/P8E/NXy4AU49/t7xFOoEt7ABUbz+uIBuIvS3IzvkN4n8cqAYCAZwtQQBzsA0IIK6krCOrKA2gkVbUAEiD7ECOJjYAZRdTG7AZQAFsBrJzAtECzCGOAJt/CAAziB0Q/FdrTkxvWKJOABOAkz3IDPwWBnI3A9n/ZWIA2IMcbcFOTm//ALATwMLRxM75bQbOEADYzszGBfhXAW96c8jfBdk7Qt48bN9sb2DKECdnJzNHsL0z4C2rsoTUP+p0tjRx/iu3E/jNDICYv3kCIWYuf7X0t+0N5s3qbAK2cwI4g9yd/8plCgIAwU72NiYeb7nfwOwdwX+X4eIEtrP4ZwUMAEeQhYkj0Abk5PQG84b913T+2SfgP3VvYm9v4/F3NORvr/+oAezsBLIxZ0JiZXvLaeb8ltsCbIfE/NeuyNqZQwCsLP/QA13s/93mCnL8e0A0f+0M7VsRJkCInY0HAAgyR2JWhDi/pQTQ/M9YZvq/I/n/gOL/E4L/T+j935H7rxz9p0f8v33P/wot5WJjo2hi+7YA/7gxgLcjY2IHeLszAAXAX4fGxsTx/4sxsQXbePx3Uf/qrQX6R7n/DZiss8nbWETtLN6oYWFi+YcS7CQFdgcBlcHOZpYAcxObt5n9rdewA4IcbcB2oDdu/x4rgJGVheVfbOqWYDNru79I4PyHCWQH/NcO3uj6u35mMWUx3c8q9P/Fgf3bUfltEZzVPezfavu3bj5DgP8h/AUjJgZxB3gxsnLxABjZeFjf3t9bQbxsHD7/Rcq/gVj/KX82cXYEuwP03vpmYf27+3/7/ikZ/AuMpJ0ZBPjX6qg5m9gB37btPxR/mc1cHB3fSP77ALx1/e/y33sPArmDzJCW5iFm/EFWKempzlV42f2jEno9Xayw/cH2RbXqBXl+FZDOLylhG7xlxk+VwUx143wvzR5zR/bPO3J0u4NduDbUncmgs9yPPuS03XkYq1St3PS7AcyGRSipx1pRXuezCutwulwsmruboyqqht+f3n0ab2V3RDi/p/Ujd83zw6a4s0f1NftWE4vThl4HhVmVf3RMlXhwf0fdOzTQ39d5Cd+9Q0SfFYtIyW+C55t0RPrV2cPY8abW7AX+wZXb6cdcRqNWBUaihpsn0eO8CwnFbcwGFmvqKTuxxaso9DaLyLxprLzbWWjIhxi2ggQhBpJh8Ql1OcPqtnnZ40WuXyc1Qnwp1umLvDHgD3t1kfPSKeQFnGsvGJo0IjK9s+m6IfFAGU0WHvRUFR3NSMEJbo5qQmFKSSHUSJEqv6HSr5sihdGGrc4+xAiCHVDl6ik/qzOPlRn7BcGwjNGse24RNw4CLCIiOlYhdMdRd+8fVEs4YoS3BAhhklfrcMVKx6x+TPcvwb8XTqmPaceodJM/26ZkfyAIxZBZta0j4YuSzaa89r5OMmzs1GvvSJHkDECZETae2O+pk/++ieBR268j03EKVSyPKBSjmOPLkaR7/Iw6a1rZV1fHoBd5oL9RRpTRIpac3hnBtfWV/1M64O6cA3eLylVYIzd5GCXEPcIadSamrwpTbgj61ojZgsXmUK5CG7EGwN+qG4mvZ17zOzdC0hYm1nRx84vC09jKe/FHGM0vMF/L3FZymu0jqSjttxG9XV3T5+JysstxyLfbieeeg1y66r2SoPF0pgr17WtT7VcmXN9lLCfHWRaYWg+aVXzSSoaDxlIfE2pXqZcjKnHPdnVXt167U8hQGYGAFCi1ovjlvek7y6WB5GXafV9kagoVMiXKOW3Rbf1Dio2C3audNNHvXN0D7bFZb/OU2UWhlAENvDfa6BJo16KnBVq/y8mw4CPYwdBAVXyjoKwtFZF3MMAcxV++cE2Vp3cJSow55X8kds447NidjOzcwbgcm1GiHlexyxZC3Vb0iEInKgUm6Cyvm7PduZJ2QuXwRNBDigZZhwrB+tdETbsSe6FXWyXZiyG6s4rNtOKoM2ldKYZy+jxMuKWMdj/5eSGHQFaKFe0va4gzixaH52uyPYGrEs/sVfIFR2On/rX7M/ddmZq6QMwfLE8x/h1hpCWw+Mpa6TDjLyb6Md5kJkW+Trc8TNoVuFDihWtPRdKo3+njNqjQSm9LPB3Vq+Lp8D3HaX9YrRdk+EA4x8oSy9k0WLm5+PMuVlqeRR5iH9ykj9PrP41B0xJ1ObHjsC6vHPnUKKTBwgyFW31kmCQgXIxkn6zipOe0SUzxXTLhBkzQb1cD+wvyuT7cfMzGC2M1fXSqUPmcoWWh4XjQ/Ycd63GqSg3m1qujJW8fcvaS05QROIeBK69W59+WgCYyl4lDX31rIS7hR4IysP+xcE2RYtQD4G0+2ZDw4v2RMnJfPewqp3NukLivHT44xRbZQNIl4HBcpFHaK/RhuJgs6MPggxDMUj3g/sDd4OWKcrmOWXvlbjD4tbh2h9m746f5HjK+KJhuVsA3xU+Qljif6j0W4tqHupUKZ5pk7Hbl4NmsMThg3dcxwnpgCV+P7UOx5p78MhQ5VkJHmBghrb1uL34w9pr40lFEfyQHtyPCZ8lm+QAO0kTNhUCf2DRj48eRJtqYkWVDUx3YyNcdwyvl5mF0SHoyO9xToxXDJ5o+X2oqXgUV2BZp/LlYXO8GZ+J3s+OGZJKRWNED5kxCXbDpsdOnaiU1065MuBsrIjZRUHWu16Tr7YOLNeFURouTJM/f958yg3JuF2ZrDRQpfshh3C1YwhIC3feNsdcz1G0ToKkIi4jgr/Zo6yPvk4RFcSR2IaOI0VP9LV+/16kXKeNSHDDYfuYSGeb72MBaWUhIbuF9YTmTxC1Q9bsr7NqIoSG5D9cDHQYTBnJ4miLPn388llazGzWh+36EviFN9XosQf3sVQEK6uoa++OFUOmQ7fTzK6L5xY+A4ywfEIzVo04g80bMpznOwLmjl6BVY8zDTatLEcsnnUKamWKUbSbaydXD2WlulvfW2fq42yWnWq71uSgwJ4nRQvABVTPH0nKLSKo3uz9nixHtbp53wvXE8ben0Hz40R4D7tV0+WGkHMnade4eWrBnLkDiUpWPJuQxzNacB/PF35KZOsZXSddu6JBGnLRR+S0QVr3L0jGI2gy8lNMjGDip681vAMapDooNUGkZ75aeZc5CHrpICOGZyAEx1kxsmZSJry6qe4EzyzmhPn1wRIRYzwyEn7eUxWibLLICltLhHsLPWI5dByFscvlKGdDTjGE5qBCoVroYZq900zMM+OsHyOroU4Pb78j8yMn9Yiyu/GlnNx5rc3xm8POFFPmyW4ZlI8v0dulaQW/0N0BdyQIJ1ff+bofX5rBfs0LjVDHN0UMmf5CPtXxR8ulEEPYr2e62I1huORHSoHthT1GmQge1MLE8+PXlv61iCKRTBJKV8E4CPHduil26uS6UxbrcKwdYpzmIGZMZg/hJCtKcJJwzapk7yUdhvdSpx1NEvCtZSvTz2KMW53rzeHumbEAjmA0QWY/cgQ7HlCSwVV64Ud5GzleYk1YYlQYWaWGHgxlYVWWT0z/LHIFwih5+uJWlMWMqyMzYSrN6yjVm1NZethmfS5xywR+6WMy3CTASy02j0pzxeTKsVxiV6UlhnEe0PbyWorJm/PgYoL3duH7JaSJEZ3uv4OTVf2I38OIwcB3a7V5zdVd6722px4S5TTMByKAUjxwP3rKLn5uIUnpoC7tou31KHzx+0hdubu2T9stuxdZ4fbyq+6xGzWwkyQYbLw0qRWIwDje1TkpbXP2Bhfx1hBeb/DHYAeMMF/U97va2HDGbEXLEAKmIt8oRhv7294mIXQkoefTsUcYbSIL8O8ITEngiQnO4Pwg+xDUubYQNv4N8/HbapcXAf7imc1WQ9r8xaOW05BKe3bX5x1HfwB4XdZDAf1BpVg7Vvjlm7HJeSL3FME1uClwvsyKqnVsq1pX9uKMp5n2WimFcuNVpihp99RJPSZGUJL/RhCufuHX8MRLWUmVn3BcO8DIgs7LoJzUmB+Qf09Ue3ju0xdH5YsFNRrsG1x4eQZjg0MCnd6qSOoA32KXfGzHPhGnUBbvQWRpMofyHhWVEG/E85fAmMseF8XlYATHuMnHSlDGfeJ5SbSSrtkha7tzb7QRtqfsLzmxcEZpGB6ENlj4G+QiprePMe2FWukiBnyfdpAWhDJ5MQGGxRfwVcNTXoMq7UP6zmT/gaIdmAtgNJQJZYpgzUAJDwFQg8XE37+ITT+GCSNB4dYppG/rLuDjpUT2UBiUHg7PolgnZYebYahHwrszSfSjnxUjoVdYRj2MeZazdu/WiE7ZDWcw4/MTeAVtYxd6PcksNUK3H2nUcFe8QkDF8J5JoV9e6iOdA0sgUM906UeY8dGQO99hg2w9NarDPsRAPXpmHcdP9WvMyJfhRZN1uSJwo68gA7g6GUZ1t4urBqY7hbmT+ooro/iuz1zonLm2wvpqlxXSk4s8riT10q68SK6KEmXQH2TG0ps1JaWI0YkaKDa3yaXKMKuPEADHj8RbaZoQjZM9roiIHvgyj1UYxKVQ44YTb9+Toqe/OgU+Cl1LvSKOuuKiVdpsCz4KebzC5ygUItJdFzfeOdAraWf4gcLZq4XAKdX68YhkI1teZyHJneERcV71Emwk2ph0Mgr/uYYK0xKSTOTJO6263MJ7QIWeBYVIX4QSUOKtY82RivLDgTIe7+wkyNDAVtPekSbrkAELtyow2mtZwlFr2H10eTdi1cZJuTKnqfvlfpL1QG2Dl1X3kj7J/7Js1fZQxxy6qh1FZNNmOdNjtfTm0if78+8uFOls9rn702pVuBz2/k2yiIngnphGGbLF5jtb/Ac6J+7uzmiMtLEdyViKgMsaJJS/jJRdJBrwI3p1FrZXYne4mVjVCmJBWPaXOfu/OQhPe2yEFB36lAKHGx54SYAF+tpEu9ai03xOVSxZ52HYrwm8Rtn3n/bOWqjOqvwY/nB6vFCprHCBzCHy8oSRxmDCDcj9ibtyDTgkPDmE+aQMJf+rLRZm7eZzBF5H+fUv/PvRY3r4JD8t2P4qW0tXlfdWGUe6gonMa3Mz9Wv+qqBXRlru+OqM0QeAl14RMGcBmo2T/kcMq86ax6gJKXGewvOgJqzEi09zujiXU8d7c3/Wb7EhLKeyT35xuHgvcOMM3S02iSwBRiL+AdfgRbgUJIv7J9XjRuJsZ6ItraZakVpUPRhEdNGdeSqxztzBPC9WpD9dPuW4FsfZiZadCdVhp9LqSXwpewjgvI11cZkrm6DJeWKiUn6/TP++2POglB0yqwp/1km+rBkJBMZ/DC75MWFJ96oUK9/JhOnfsr0zivwnACFjIlzFsMItvGJzmclxsIIV9HTCqkGijMo7WLTqvcHaxZ/tEbmixGgtKOR4dNGehyElRE1RgAg2MaZh6bKLZOlY4tZfWK4A3Y/sbAoZtCZ5VsBrq9hJzp7RPMQu2cTVpqJ9CvGVsWlxoC1rmAuTeYSUTEazOmClpw9/kv34YC7C5RRHIt9RXmRY6KDS+pFbpcBg7NM34gCumEIAXoJ2fHsOZW1o1Xy6B0U7bEZe07VASQC0+R0lcpji74TSmqS8pKjX1a+2D6CFJl+8G6dpzoj0yS3Tn6zICH9KMl0tF4Cf0vO7ylmY4Yb9BRJgc5N8Ywlo9NQyXwnLAIOh8ormj2TYFPALdGOBlKL1xRKyncgiDPDkNiTk7GOw3yWlAdV+Oj7ogO6Tqx4kSKeljjqJ8P+NEBSni/GP8drnyrZqjpWnxDln4LO0Uo4/THrWieD+pVoy73rY2hnQnjw5fCs6aeH9Nl46Z/PUwmRSV4em3B7rqQrMjoI93KNuBPq1nCMNQOyCLZj9vFob31QEP669ZfmoloE2sV4OL0u4zQhVDGS+vKCuPXBdKIJNsyZtICJ+PPrd495psLt4W5DB9mHhLq4V13XwMonGfXtjqhq+f4ZV7YmIeEOpaBPMlmZQzCMdtjduxJ5exZTz45z+LR+mztt1HodhQYZXJ0J5rzzPe9Y5pai+u7WrP2ZHAIN36Kk5oDjUl9VSNQhdZL/9BBs8V3KzRcRPBtMUWVNmf1cLACN+RRcoTcNMLgz8Z17M/Le+3gdAJ4azIZ0nET7foqfm9oCYtP+zR4tqyx8I8D5GWenKqEmydYc3Nc2WDLLnOkNwAduFZUr3i/KkfkGosZgK/qFWtJbb9ouDWol4QsGi+xV2HH/mIQqGyj+nOf0kZu3nTvqOX5R2vCOXcezeTn5LPJ99aXbr3q+VdxNVvjfhLNa3np5UO5FnHK6qDZg2KcttGcX6iUELTvXCkQi+boNTl8/KkLqzw+X697z3qhmKiOthfkNyVkHUVZS0XOw6KPuug3IyPjG3PyqYh3XO4ms8bP4IN6f2LQjVY2kWEiQweLL4RqlKaf1KSe8SAC1/kG61YPceN0XhsIzcRBH1eeK/ZSpZf8MnXpSCqLFkqHZFHL2xpD2wAOKp1X4E24utXQRnttfTy7W3AEQyTptTkWEfFUurUIWUm0U55d1uibeVU6+zTjNfruiWnVBMTTbq5n9ag9LhFwHxS8EXs1sXYz04lW/C+gHHYP4CZMM+y14RrP3y9VWOve8srBKvAEbO1FqrOh4cVw9KiIaxSR7sRd9/HGnepB0rk2aWOfT9hs8/N40bL0xivT0kg6+rsYWKHJ9A8mx5vVvsWp2FXST/4Bz3JEbdjYL/sfPYZxextLFogmvKuUfhcNlSQ370R1YkJ06Ym9cFLl44mTp7rzjGyKcf9Bdr30l+mquBVlszYoWumtaP3i6i4wutPRqeKdHA6DtNYYz3LXKQvNr9etmeqv2gyXB3L/PBL31Bu0Znye8Av7KkgL7OFkIZgdzjjWGR+x7oWzM1eVqVbMGxpoWRXPzGfatHq1zVsP2PB8QkRqw1jD0s5EUFJdNGRMjTBDG4n2ixaG7Hu+wiX/XBIYkHdIrc801gq+DOcCAYcKLvIEZsHy9fCfdcGfc3buPasgYx5N/CVcwyGC/vw/dowdEh+zqYdwGKRK+HPZgxrGAwFL/TlBo9Vq2gHehPvOqphGRGsDcWGfBw04OnYSry/RrWmGseJVmfz1SajJHFdyNupCk0mPTjujpa9hmlwTGbxYxfBUN0OoZ+/a7O9iX2DO1nhq7cTrPGEXQ1/1/tbVkobVeuvrHaaRZ835VAjyh3M5pcaAwTroPqDmfFD/HY+nmkwupztL5emWG1jINYm+OcX1OMPA5pJSkwYZzJcvXAE8ODyWejfH2MXbiQVexRPy3CQkpoyB2QmuhZ9ljZjOMaroJZxvXp0N/9gcufdnSOrVyiGDOPnMyXCdJBSA2kUMJHGTbxap0LogXUPj7wpRValeseWrxoq1sTrDk4PI3lI+eNjpxo1Zo12h2eDtTFkM7KHG4LqcXy8LAxkb6qaJRxoTTl3WvpzUfJcqx3RI5OZFNCINWiYTszcbtLN/hUXNgt1XYCHM9Zi8ES5qcw0xUr4m4wHKpRXpktN0zgltjdSWFvWx81wXZGdhh6Zcg7flkDxMvj2y5GkjTRE+ioWie3oDVfwUv5jRfZr4ramV+BhzG7kXcJrrAVC49IFQdT7JtsY7ZF33aN/qmmaqxnVthKi9a/HnxZSLBVY/TIJlice09B2cKqfcJAPR57HdlE4XmRBZr/6Oeb1e2tS96kFWJDfWzIZ6OixVAR6fvcUeZTnLjIncj9qeOSt75UKx2WqKxLdsVr4KMSccJ4igPyaJkyX2WF/J9LRRFouuy0euCcgrVQ/noWXs93xiKAQjZjmsph5JOcx0Mjoge8fkYKd4mMWfVrvSK9vNhT0c5m3x5EAMJ2VtDbvDwZiD+GDgaZiukXe/VGI2LGM7TqTcPHqJjoffTCz4TsFbKB9eK/W+kbvgsK4cN2ojvd4EJtnGeN+sZg65d0N98V6TqvhIE9QIMR4XVEVYmZUzKxsSjfJoQBHwvkzaYGu96SCLPWBW4Dfvz9DX65GBsttXbg3vB5tcGW38sJtO350AcauyVXjRDUUls66MvFRoJ0HmaP7xvIC2WhxUWvXP3DTHdvSxDlWxRQ9s6knE2j9zkNHjUsYVPoJN0uW7eHrIRwnRGU311ou1iA8SWru9FzuPj9IzzIhU725PHGY+WtnhCiYPclWVSZGIq+KfG2ToDPJZVWCSRHkf6QXfX6oNhge8blsJiLGsQv5EfBx7BDqYZOkJFs5QEiDfDf1iMx9Qdf+2LGpurxMpGoj8+4agznKN15c6ie7hE3CyF5LRgDUaUxvbdK5EBX6M4iCGMEQrnqrmpyAgfdEk1/ZbmchRLZnLNx2cqivh2utFGPycQ4JqG+21PvTwvGCfFHcXjWE5as+qldO0ya8weG7COnIp+Zi91pkr2qSS2KdX4Di872okdCLRj5lBg5oZnf+s08zk4r1fnvzxFJXvPP3bfJrZZwe9fYsFzvVV63Qhh1+qh8LmVcaOFijfnSmyotKs16UijWSvMhkmwXTYdaZYLdaP3OH+wSL5fsmo66jkFjVfiPDGd5oxwCRXWeqVoAF2pwC4KBNo3i/9maoB2fWP9nyp49bYGyw1A19q30RDOGfemHUbFcR0jt8f9ocK2lHLh0xZxOifxPK+82q/gcOcy6djQqTgl2Y07udlYIU+FVfKNk7i2/CNG1prZJ3uRw4r5RL7vhjadUzvNYU9qp0Ec2XGhXYOKYICo6jvQxAhSYVbw65l/5YFkJmFOtLoi0iwjk4el2lARNPJ3e96opBwAC1NGRxUw/23Wj/IdsggLQc+2dp/+9U6amVkg6sBw0XbRNK30lLNx8Oz0hzjsSkeXKZFs60+s5rqVvlizKvP59h6SdN9OGFJxEoyNrXbJiP9OLC+5Ca+3vYJWouXI1wJfiueVkRDCIB9U2o35O7f8fdxQ8IxevbuxPQHa0Z5BW0jOsavEMuTuDWC7T5hTcMoS4nFe/tjg9XzKdYvBJTGfyIgJHvU4DLF03oF1SRyqev9sJ2+SrJxmZKrmaP2tQ5rO8bELlnQZCDdri741+DC0siqmna9KcWU8KpVI8O/cVfP42lY4LLbIFJY2vOJbVruX0fkk1kLHCUaq3snBuSeu0+qxXX7hkcpVav3NA2Ozk6A49Jqj8RkjIYWvicWW7Pn2LniEV16bnKJ7YxqHo3i2FhnyiAwE7A3ENWMDN9io4scCXDKVtB/fvE/L6F1Cby2IN8oUrJEcOpn0pWcl5kHwGUnLNy2Libk9fIvZemd6fWdIVk/q5fyzr5m6Qv5M/G5TEY2PN46Rv+8atF9COilPCm4dWvP60CBB0AN64KA+3x1iw7tzkujm7uio0E3prbb/mFzw/GU3rUo/s+Rx2HS2OD8l91pvqaxgbAS/giiIuUxD4oXSNc9OlfbJ4FOy7ojlCjQ+F+nzpO0D/Nc45liRujx8DpqScvTCgyrueaBbZ9XznlWO5jHOmijqaFsD20h49eRpbjBwqgjYtmkQX5G6snTHn6jyrK7SkYx5z5zdiKLdIbWBbdOFITs/kPtW3am5lHLE4UhKpOfZvvngcLGeKWVtM5Omi8e981uWcJIBMBMcA8fPqFV8TvXlDJJOXYj4iY/S33XIBaawSWO8Hw6p0OT15TMIQP6QRSiK7x4zj93nW1E5g2f1XkR287O9kynIZEJwGvGmGtP8WQXzZyUdzCTD4tnIc6aK9e9t1o/Cww6eDnxcHwjl19SLMQwxXE9sIhtYu/UAqSf97+xW3fQ3woggWXUkKEkz+sk+BcKAYFDfdxtoNnDCgpTm9z1Vz3OeSQAy3CRH0Uqhg7Dr0Rlnak5we1GuurDHw4NKO7/+AG3ycrF/xFY/VEG6+LLppmxg+XVTSuu4CGQRBeunBZICpxaU9iBfcZYuJMzMH1Q+OZLmp0b24Xz04BG54mqeGPFFFEDKKhhF17F16J+B2RNpIfFs6MTzLBRD3N/nWtpg0hfAoP218cDNeFCvO5PJ7WXVatCX5LfjabX2gKqMkJJpf5FWyERGBMmpS34cc86DAcIs+3LNIT8SO312796QS2ELj7JV4WnHs1CV24MFS8GhfF+tBSr7hj801NcJP4jD97CyDYP6BHPh5orGY7qpQVjox/sFMqL6JQFelT2xLUobYiEeyJiFN6qoL9QLJXP1Se/DwA2EMCwihr0XasF5J/y1Gr9R2lnd4ohbF+Mv09vrBvKKfgiBDh6fFq2znqvWRGU/yw5Nz50B5Dtuz7u347LzbwXECM7YAeo+Uy0HntMBqoVNFxTQaM1TxC/xQtNRQ0VvErxN62TNFuYuRTfJinyZB2y8ACVHmqV8Kq0u+IusgZYaLvzMzhiML9yU/SAIMDZhKq5E0MRH6VqA7nY+z2dvRqUSB1RpA7aseYvaBYbL4X51XG9cPZcHulZB/FpI6nkY+xd5tjciZVv/TkrfBVio31DR6emn+mtLtWoRDe5GuZd0R8U+A6/Zf4eMUWjhDs7WA0p+KavqrS9YjrzXEbjSrrVEu94lVxnekE+sNLvzT3x/rF/a2Vi10XhWDEAjkRnyWcMoew17btSqLW71QRQxD7eAojWPl5DbF16TavlnlIUD9B5Cl7bJBwMUe2OTI1o7oOc4ES/E1Bmb5b/euQpTnwE1RVGYz/wJhSJzydbKR8oNtdbqYRd6Vy8rgD8UuHhVyJxbFPkZQfhhhKB+xn3QZ3vF+kl6TsPT6SaqQVj8UK6b2IQqQqRya3PMG+J4HdmeJWH/SDZCbFUP1M462AEG0EOW+jrwHxIez9tlIjzVytdbTT+Qm8+zLPr/REFzk16Y/QyxPYs8NG4VJCd5NjkzuM8cDbSg7AkozOLh8Ev98yNINSjlYTlXPy/avVnBIVLhrmT+YK98mE8hh8QbbCaAGL8tACrLslZ2vria1Da3e4pqEZPH/flW5H437VuZRk1OWOyIgnBEyyoG2lc58NPUoMxPGehbsRUOoHH4cvZ7wO37IK2IFSfmvGh5kGbDmkxeAPLawWzyCOz9PmzXU7qHqjkEyekogTB0KN/q7F8SghLnkwpwegYyeHnW9yJtyLMLAi7cuRxlaD4gzu4malE0/XsoazgYgkSb1/W0DJiuZXA1EM13LCMJk/Hheq41QF6VeJqpZfO+U4nqaLLT5/TMfVOBAo564kWpRbA4b5WhX8iJvdMwDUnms2O/mNYj+nVfdLctUqDJDYlc0fHXwvdkncKA7vypuXeh9FdrO59m3GkC8bs2+I7DxAJzOJZzfcUfM8cdeQleCk4GGf2UWj86N8koOkTht4mrD3EgcIV6rGyV5ce9PZp+EJicsfy67juJmiCNoQwh4aW74oPCCvydxm+t4somMHQ0l8WmwMA105Et2W4e6f0YC8McOc4M+C5e2IhDer8IN1MvkD6kU3bonV58TPKDgPYWNMY9IFRM2wGmU/hpuQXrY9RekpDebE9n11hhgp6mhpdN8dH5m0Yolo1Kix9V5VjpOW9KiGxbxARe723tMylGOJIWltoSbmsa/s3QJyISfWfeIgL+0pJ6xaunK1gp3TIQ2wjv1AbsudidQ7CgFTTRY01yokvQqq2q8HnBAbWj0+Z+v7n1TJ1BSvUJLCRjiwFLcckWcttx16PDIr8DPRBEqisVueB574Hr8jCjB8/ICn14Z7gJ7JKhgL4tVp6XzNcxLEtWM9t5RJOt9cCX5XxL3g7hyUAGr81nPMkVo0cbjnfNZFpo4fPwbwb+MMQz7PKeSYHpHcwDNZKwLLmL+GHXlhSbCl2e58mUu/ycvCOECcd+/pCbUwcMKRk4LSileQNOMaX7A+Hsf8gk3Oe2u+yfi++uvnttKdXxv+SGp4IctytYzVrcwqsJUkbtKk02yXXI5YaS7euZjs+Zb95rjRkk3TXjqa2rO89ora+w360Wdzcg2kbXyzdsWQ/AHgL/eCQL6C8j8OQNGfSy3aMp6ZtxM2qeRMdTJx7/s0vudEins+3ZMX35NWWczQhrRU3ibOXOydseIDvVyNHgo2rWVF2sknk8/o5Am4MNk9bfFRskuIv/42ygH3ubt6dSjp4HGzWimBfNqv2kdMPTIGA5gep91R+dxH0bLOX9Ez+SOYqNuZ1+45bVg/Bc1OOnRL6Sdt6E3dNcCWobSRDM83FlE7Mx03kFQoIFoHlwYhbFEeycBKtJvE/V6a24rciiXO1VQi7r+oR9atT/FH5uaG2JaaokLh79zJ0eQq9VBapjyqHsyjNl1CrXxDgkAuT9RheWJzKtZhiV171zhnER5GgtFLW2XSb2x5yCJZ1qmeeD5Fh35CSdaEoMqiTzlQQHnCmEzuGsnUWU0kfJHG56ir/CLbfHqcSuLvuRN5f9hkjeVdPKU4x4M2Wj/oofRTXr2UH1OUtiAuxNUtZYSPLRDJgj96VxYfWx1KCT9f5rlAwo6zi6B+7YdoxuxKicuKstriYWWD8QdfRsef5sQaNdaq0X6AR+WPZMKygp5TtydXebE5OTYONL5h0gLSa69Or5HPZs1UdbE6RaFz+3/KzJn1dYIS/bA+FDs7L68OjPZ7z/kx/6Jqoo5FhRrn27Gg2Yzk/g3nxJyk0hKZnJI2FeoniEAgU4Jw0cOan1zdPF5mKMfAIyuNlLrwdC4lWz9wAItebydP4CAw1muYY9wbIolN3KNfgwkN3ajk6RpFKGa3SvDY6Lm067wya+hJCsB1+p6YLkCuq9NGQBSEE5Z7XcHtKokxjO/ip3zLzElH8o0jhxHzhB/nHbJG4XxtoKJL+oAr0Pr2iNx3fE8w1Yl38nLCKkew/CINZQlB+ZO1x1AzOv98es/rCNP3+QMS9ByoWab2F2bi4CGlsb64oFPDNR3nk0gaEm7LSC5WWI/BPWb9K2/J/ijpno5YhxTC/ZyHFuPXNNhBuhKR5+tFrwWJ2vvTkTqctisPMfQehtYws1xnpUa/TvEfQwvpphzOEdOShhYB5RJacLiCV+za9GaExOMqnqj9ivtrHGFl0fIT3ledLHJqGnQ93Vx4dqMYklZzHlunKjElumx+0p/Mjb5Oir7iMlME2jG8PyyXJldJegLNuNbEkaWwBFSkwqhO5ufnZ+pUdaCFAUqh+4a4lbAwn4YHYeeIHHMYf0UzqX0EDG9cEEyM/emB5yPFMgr07e6WD3fiVS4zCJtNQvkjfVcA3f3NtpPpt/Uo2uIOez2aaBlJrAD64B9oFumckLVtZlPpVsfVAoUEQ3DwVYJ2WHL9yLjJL8u64fcJfseVVC3VzkL7+k+/OTwjEHSo2d85OWhgHS+l2z74AJIHq8TYtUu1mF6gP1nkNOBP6mJnamh6TOTrnyL3zM7HpEz7fQVFFuD7Y5hKBpM3Hh0AbGAEjV5NGRiEqtQHq5TQH4LicHmST4pZDrEjUVJDDQnYAPP5zZWbskfKJz+85jbSu62PBfeEZYQwGCtV2zPCNbIc61IQXH+1yDfjF1yZJu7HUa4K4vo8HCvFahMr+nnjPnf4b2CnzvAvhWzXO6sFevGF/wrYgnJrWjOxCggmKZNui76xba4NfZbxuW+TKq/knxLSWWCdkn+xovotv4HvBsRBcQLBo2t5Qgxnzj1WwgT1wUKXOeW/kVxNZ69Yn2HtOYY3GpcdYw9m0b1hTUbovmNew8JJPuPlSsgz4iRzlO3W+FECzU1jFRi97WCJoYbqd0b7pEBlAt8gZwF8tnHnlHijY68I7liWocD7nIuTCYwkraMaRrdegfpFaeH7jfJX5AFe9kfcrYgV3QMYipGXxQlvWLo2DpfdoawNP5/raoXdF86LsrmoB9I5AjIeuLL5G2tMBSaQoAdaBNbJkhfeRNovkqtl8h6zTZca7QjqOCfaVYqhOoEbU9BPPaw/GtWeuzjascCcBKoINed6T9t12m3lxJFJKSupK8muFn7QAhhJU3t9lUiZ8cuijI2ILhV3G6OtqK6Sd+1OeFmRZq+Ohe4+Rhi0t0e69VJIXrxQivlCRrV1uPJ0OQ4+ZWDfn5gfTi0H7bGh7IORPZs54v6f0hp73wksX0LA+DlYK+KhPkpnMojrM7uubgLteMpQrkn4UKOdVAwJWj13L341RM4mw3IX0KoyyOVYznJNBqyoixw5xzk0xGipD+oOijwMFBQzukXhcZifFENRzzbu2T4HA4obwFefhL2uanG8ML2CRDIY3a+KwT9Am2upeodqH4aUA5SU1sn3PUoX9QqbPKi0fkz/mGBNpEf/1XukNXnqpNpp2gpZ0Bq9tnmwg8sTvj03KdH08m+Hqv+MP9RSmceGpjsmXqy5iLpRY+MeYawm9Q56GBL0Q4pdCdDiTJKWhbYq967MtlNWDrRRq5pkOEtrou0roVHwITpyEeqVAva6pF/4SjeN5jCQQ71ptlX3G+GiEmF1btWpZxZXVBcBycyJ+cQwjWspExvRq05qPPY3xNH01uMFxOgngSSjaS0ANs255HDP1ZBUATmMIxMgM3cl4+RC7D0epYJpT47o7GZ73HKtPUZIdPHvxtXccL0suBETaDFMedEK0+2In2wT+tjNuUO3hHybN9HW9qQDS0HIPxlwM76YJik3ocxfu/cKdux/n3Yrl4PQRTOmVH2R6NUDGKoG5Ox4SuHdY5NBfVs1O+SAGREcSHbut3aYOjqLcOPrz1QZnoGx920I3+QWgQS0/3Q47oLq+4xzlLOt5xJbRPLTz4HJnIe/eYZNw2ixiNoQP77XE7uA/x2NX+rkZWUI2/cU3AA1yJp3WIlXIl+VCdhfBhkv/TsN1OB4et7hp29Ze8QKYsWSF6rg0ynCgU5YQrHeJHhlzOvJRFuLb+/kCnuOVgyfFOSTBUW3PE2cvVPRfsowCGlWmWfHcodsjF9rUx04ZaLF7+wfPFUpPNDHCU7IOUetuEk97whX4ZPhP0KhXE0SXCvu1qIponz/JiElHLWx7nurWnrVLDzEgYhd8yiUJmnA+EG746Z/zdig1ve6NNEy2Qks4HDomxJVEtwTHKVYxwupHGlPCNZ/jJiaD3TzFn1unNIcWECM7K7RjBp/GWwiW33CnJUUxkpCKpLIn4fpzgjwFai9QWvRs+3m+fh9D0AIfEoku7tca12+w1ERcRn7zFZbZ+Mp3GqS7VkdNyaf77Sv9JsdLRIlpyICyyXnvjEK/xcs4J3ueD7w+7G/aPnI01Z8S5PqZkuA4gLMFoIi3Jj1Q+YK2595GO16tcIwqxBnOoBdbm6QmXNC83T4pBW5ViIBZrYhs0bzLx4D/7zXnx6J/j+CTv8EuvjmqZI69K3nK0ThF81zaZwZTlgbdqWiiupMbXU7LKtUCEfi6uYRvmyQNqJvosi6hI5eQe+0KMbZaazyH3Ho7mBQNN7StKgF7+KyTfZvtrmpGPNo/v4QPFdg9U0pCl0PL5F9ghHeIIx0CZKPdakt3nbnTfmVk1aCj1TP9saCwbHdS0URUJlgNqndcTQpjM5vMuUgip+ffqcs/J6SXmadkjpM3786bckEG3vpj8xvMpqfHKRMOAIasB8FB9ubzLSYyd+zyM9+Ujn20sivD2zxB2oZojzIU5K5n5s/byRNkfRGSv9WaqFaRSuUVmjW+QO8o/I3b086RQlah13OSsL/OP3BARdFkmwfZiyhlukoyKTBkrhL93GaIoPIFcqJtUHWJFurnds3laYtGUbpMnKGqM1C/pDkwQLavJfD6apfSuVPCMAMfL9y9/8Aon2S/gplbmRzdHJlYW0KZW5kb2JqCgozMyAwIG9iago8PC9UeXBlL0ZvbnREZXNjcmlwdG9yL0ZvbnROYW1lL0JQQlpNUStOaW1idXNSb21ObzlMLVJlZ3UvRmxhZ3MgNC9Gb250QkJveFstMTY4IC0yODEgMTAwMCA5MjRdL0FzY2VudCA2NzgvQ2FwSGVpZ2h0IDY1MS9EZXNjZW50IC0yMTYvSXRhbGljQW5nbGUgMC9TdGVtViA4NS9YSGVpZ2h0IDQ1MC9DaGFyU2V0KC9DL0QvRS9NL08vUC9hL2MvZC9lL2kvbC9tL24vby9wL3BhcmVubGVmdC9wYXJlbnJpZ2h0L3BlcmNlbnQvci9zL3QvdS92L3gveSkvRm9udEZpbGUgMzIgMCBSPj4KZW5kb2JqCgozNCAwIG9iago8PC9MZW5ndGggNjk2L0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42m1UTW/iMBC951d4D5XaA8UfJIEKIdkJkThsW5VqtVdITDcSSVAIh/779RsTrFY9EE2e38y88Qtz9+t1O9FVt7cT9cjZmz13l760k+z37hTd3eVdeWlsOzxbW9lqPD0/sde+K7d2YPfZJt+09fDgyJu2PF4qO7J+Jhn7UbeBgj7s/t3+nZRNUws+2V/q41C3Ew7yez0cHenHc+ZA9hVklPTH9ue6a5+YeOScO2DdVlnXYIxzNL1KYdNR3KFuq/6qh+2hLhKSVXU5XN/oWTbuPpC8/TwPttm0hy5aLtn0zR2eh/6TND5E05e+sn3dfrD7r9Lc0fZyOh0tZDAerVassgdX0c3/vGssm/44443z/nmyTNK78LrKrrLn0660/a79sNGS8xVbFsUqsm317Uxyn7I/jNzUcfkcD6XjlQMM4jUBRjhAoJqIPZAAQIrwKSYHsACgCcg4ANQQuQcUgMLFUnggdYBEulwQajIASJeGAKqh0FaBwbkCMEN6TF34DMJisGN0kUkCHQkYqWckYGh00YswnMZcRoThjAIwD8MZpBsThnPqHJCH4QxqZDwMl0kA6jacu/Xxemfz8brLf7v+6gxXC6RxyJCSoyuXHp8j9pUWBvHMx2vE3gINDS6JYqpznY9y6RaFpJoF4QXmFsTnhmLvbY5Y+r6ES983x7VI3zdHHen7FoT7vm5iF6c+Jg5qytiQteR1nIGvvBkS+pXxMdxWmfeV4tzjBeK1x4lPdSTVn3F/V+gbUy8lMXtc+Bh4QhwhgKfUSyhoSKmXVNCW5p6Du0qpDs+Bz692Atfc68E9axH80jL4pVXwS8+CXzoOfukk+KXT4JfWwS+dB7+MDH6ZRfArEze/6MuiLwn/bOyh29IoL33v9gktK1oTWBB1a2/77NSdkEU/WoTj5sXbSxH9B3Htg8QKZW5kc3RyZWFtCmVuZG9iagoKMzUgMCBvYmoKPDwvTGVuZ3RoIDczOS9GaWx0ZXIvRmxhdGVEZWNvZGU+PgpzdHJlYW0KeNptVU1v4jAUvOdXeA+V2gPFdkgCVYRk50PisG1VqtVeITHdSJCgEA799+vxI3jZ9gAaP4+fZ+zB3P14XU9U3W3NJHzk7M2cunNfmUn2c3MM7u7yrjofTDs8G1Obepw9PbHXvqvWZmD32Spftc3wYMmrttqfazOyvidp89G0noJ92P27+T2pDr3gk+252Q9NO+HgvjfD3nK+m2a2xm5qzC35ZfpT07VPTDxyzm2haOusO8DDKZhedLDpqGzXtHV/EcO2kBYIyeqmGi4j910d7GFg8frzNJjDqt11QZqy6ZudPA39p1P4EExf+tr0TfvB7m+U2Zn1+XjcG6hgPFguWW12tqH1/rw5GDb9zuCV8v55NEy6sSBVVVeb03FTmX7Tfpgg5XzJ0rJcBqat/5tLaMV2N1ITS+VzfIUqWgapDC2WMQrcYlvAZKipMLeFsLQ4ooLFQRoLixPlChYHaYLJJEMjLtBDoYdaXHexukYFyXxUVP3Z9BftPFxgGUdjKXkMLKkOBTwkrIFnhAvgiHbgwDFh1+eys1sLnVJI15NMxDE+GGd+vMA49+MM4+If/sgpb2vgCedBhDgLAQ/2JBNgSVzoE84D1zNg50FmjuM8yBxaBV2DwiGLhOoKeE5rHcd547nj0B0U8CKcNxHBvyBfpeOTp8xxCuJIYPLh9pWCbhv6paRrzIETwvAdUk8FTkg9Q3BCOiMNPdElAjiTiDgROFFBfqEhKskXesac+NCQ5FQHPyF+jj4J6XR3qTjpxHkq4XOjpM+NCn1u1MznRkU+Nyr2uVGJz41SPjeKsqKgR128O37u86SK2zyp8jZPmt/mSYuvedLya5506POkZz5POvJ50rHPk058nvTc50kvfJ608nnS2udJZz5POvd50oXPky59njLu85QJn6dM+jxls+uduV+++6XjbcI7en31qnPf2wfRPbbuocMT17Tm+h4fuyNWuY97yMe/DYxeyuAv8fOoUAplbmRzdHJlYW0KZW5kb2JqCgozNiAwIG9iago8PC9MZW5ndGggNzQwL0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42m1VTW/iMBS851d4D5XaA8V2SAxVhGTnQ+Kw26pUq71CYrqRIIlCOPTfr997CS7bHkDj5/HzjD2Yux8v25mu2r2dhY+cvdpze+lLO0t/7rrg7i5ry8vJNsMvaytbTbPnJ/bSt+XWDuw+3WSbph4eHHnTlMdLZSfW9yRj3+vGU2Afdv9m/8zKU69m+0t9HOpmxoH6Vg9HR/lmlrkS+1xiuOC37c912zwx8cg5d4W8qdL2BAbOwXwUweaTrEPdVP2ohO1BVyAkq+pyGEf4XZ7cScDi7cd5sKdNc2iDJGHzVzd5HvoP1PcQzJ/7yvZ1887uPwtzE9tL1x0tiGA8WK9ZZQ+un/P9a3eybP6Nuyvj7aOzTOJYkKayrey525W23zXvNkg4X7OkKNaBbar/5hSt2B8mqnJUvoSvUEfrIJGhwzKGAnfYFWAyNFRYukJYOBxRweEgiYXDSmPB4SBRMKlSaMQF9NDQQ6+uuzhdkwK1nBSVf3f9qJ2HK1jGobGUPAYsqQ4KeEjYAF4QzgFHtAMHHBPGPuPOuBZ0SiGxJ5mIY/jAOPXjFYwzP05hnH/iT5zitgY8gR5ECGchwIM7SQVYEhf0CfTAzQIwepApctCDzECroGvQcMhCUV0DXtJa5KA3niGH7iAHLwK9iQj8C/JVIJ88pcjJiSMBkw/cVwq6bdAvJV1jBlgRBt8h9dTACalnCJyQzsiAnmiMAJxJRJwIOFFOfkFDVJAv6Blz4oMGlVEd+Ir4GfRRpBPvUnPSCeephc+Nlj43OvS50QufGx353OjY50YrnxutfW40ZUWDHj16R37m86Tz2zzp4jZPht/myYiveTLya55M6PNkFj5PJvJ5MrHPk1E+T2bp82RWPk9G+zwZ4/NkUp8nk/k8mdznyRQ+Tyn3eUqFz1MqfZ7SxfXO8JePv3R4m+AVvT565aXv3XuITy0+dPDE1Y29vsZd28Eq/OAzPv1jwOi5CP4BpEOnfgplbmRzdHJlYW0KZW5kb2JqCgozNyAwIG9iago8PC9MZW5ndGggOTAwL0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42m1VTW/bOhC861ewhwDpwTU/JFIuDAOkZAM59ANN8PCujsTkCYhlQ7YP+fePs2ubbZFDjNVwuTs7HIZ3n34+zny/f44z80WKX/G4P09dnDXftofi7q7dd+ddHE/fY+xjf109fhU/p333GE/ivnloH8bh9DklP4zd27mP16yPk0J8Hcacgj7i/in+O+t2x3clZ8/n4e00jDOJ5Kfh9JaSPlwXCRR/goI2/ROn47Afvwr1RUqZgPXYN/sdxjgW8wsVMb+SexnGfrrwEc9gVygt+qE7Xb7ot9slPbD58f14iruH8WVfLJdi/istHk/TO3H8XMx/TH2chvFV3P9JLS09ng+HtwgaQharlejjS6qY5v++3UUx/3DGW87T+yEKTd+KeXX7Ph4P2y5O2/E1FkspV2K52ayKOPZ/rWnHW55frrl1ypVN+tF6Ua2KpdIpVoaA2gIoAVQE2BKABeAAeL8B4AEE3qIBoJ5qeYsHsAawIcAB0NQAlbVaGADUwDLgAFA9IqZaZBjUMFzDg0epUlyht5QpLpYVMirO0KhhIYRVvAXELIaz1NtI8LCgYCsGagDQwy4AuDUAB07OsUDo4rDo0FZLLRPgAXifJfSY3DMPmiWgQbBZ04B6oc6aBtQIPmsaUCOss6YB9RqZNW0wV6NvmqbDvp5qra6n3P23nS6G0FqhjlQkWAAvqSluKeYjVxSXhG8o5pNvwFJa3gsZJEuicDSSjlq2LWLiXK0xptywSuQJ5lAiR/GRWNRRrIJpEC84B7pryV6AwlpxjDpac4y9mjmUZKCarUL5C44p33NM+S3vBTe95niBmM9KgZuhvtJgr2Geyb0pZqXJJIa1kgExmbgKZNGKY6pDWhlD+TyjBDfDM0rKZ/N6zG74/kgYyLDtFeHMWYF/yZoY5FScr2GFiu+vxiwVX7sanC2flwNP6zgGN8t9HerbSx3UtNyXTGy5b0vxmvIrymetSsziLr4CB0daeQPzuotW8I9jrTQ4uJLvBLzk2Fd0+V3NOlB+YI/hjBzxsZZyWo5xLm7NMV3HDcfgU//mGS+pDt9Qlf3vdfa/N9n/vsz+91X2v7fZ/95l//s6+z/I7P+gsv+Dzv4PJvs/lNn/IWT/hyb7vzF5lqa8zUi3nG41/rnjKbq9G915mtKTQu8VvRR4I4Yx3p60w/6AXfRHb+H18cXXj03xP65Y6h4KZW5kc3RyZWFtCmVuZG9iagoKMzggMCBvYmoKPDwvTGVuZ3RoIDkwMC9GaWx0ZXIvRmxhdGVEZWNvZGU+PgpzdHJlYW0KeNptVU1v2zoQvOtXsIcA6cE1PyRSLgwDpGQDOfQDTfDwro7E5AmIZUO2D/n3j7Nrm22RQ4zVcLk7OxyGd59+Ps58v3+OM/NFil/xuD9PXZw137aH4u6u3XfnXRxP32PsY39dPX4VP6d99xhP4r55aB/G4fQ5JT+M3du5j9esj5NCfB3GnII+4v4p/jvrdsd3N3s+D2+nYZxJ5D4Np7eU89GySJj4AxO05Z84HYf9+FWoL1LKBKzHvtnvMMOxmF94iPmV2csw9tOFjHgGtUJp0Q/d6fJFv90uiYHNj+/HU9w9jC/7YrkU819p8Xia3onh52L+Y+rjNIyv4v4PZmnl8Xw4vEWwELJYrUQfX1LBNPv37S6K+UcD3lKe3g9RaPpWzKrb9/F42HZx2o6vsVhKuRLLzWZVxLH/a0073vL8cs2tU65s0o/Wi2pVLJVOsTIE1BZACaAiwJYALAAHwPsNAA8g8BYNAPVUy1s8gDWADQEOgKYGqKzVwgCgBpYBB4DqETHVIsOghuEaHjxKleIKvaVMcbGskFFxhkYNCyGs4i0gZjGcpd5GgocFBVsxUAOAHnYBwK0BOHByjgVCF4dFh7ZaapkAD8D7LKHH5J550CwBDYLNmgbUC3XWNKBG8FnTgBphnTUNqNfIrGmDuRp90zQd9vVUa3U95e6/7XQxhNYKdaQiwQJ4SU1xSzEfuaK4JHxDMZ98A5bS8l7IIFkShaORdNSybRET52qNMeWGVSJPMIcSOYqPxKKOYhVMg3jBOdBdS/YCFNaKY9TRmmPs1cyhJAPVbBXKX3BM+Z5jym95L7jpNccLxHxWCtwM9ZUGew3zTO5NMStNJjGslQyIycRVIItWHFMd0soYyucZJbgZnlFSPpvXY3bD90fCQIZtrwhnzgr8S9bEIKfifA0rVHx/NWap+NrV4Gz5vBx4WscxuFnu61DfXuqgpuW+ZGLLfVuK15RfUT5rVWIWd/EVODjSyhuY1120gn8ca6XBwZV8J+Alx76iy+9q1oHyA3sMZ+SIj7WU03KMc3Frjuk6bjgGn/o3z3hJdfiGqux/r7P/vcn+92X2v6+y/73N/vcu+9/X2f9BZv8Hlf0fdPZ/MNn/ocz+DyH7PzTZ/43JszTlbUa65XSr8c8dD9Ht2ejO05ReFHqt6KXAGzGM8fagHfYH7KI/egmv7y6+fmyK/wFQfelMCmVuZHN0cmVhbQplbmRvYmoKCjM5IDAgb2JqCjw8L0xlbmd0aCA2OTkvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjabVTBbqMwEL3zFd5DpfaQxoZATBVFIhCkHLatmmi11xScLlIDiJBD/37nzThpt1opQePnmXlvHsY3P563k6zuXt0kutfqxZ2681C5Sf5z3wc3N0VXnY+uHR+dq1192T09qOehq7ZuVLf5pti0zXhHyZu2ej/X7pL1/6SVe2vazxTwqNud+z3px+Nghwn9NPJ2zfhO+9+3FK3Vda049ZcbTk3XPihzr7UmYN3WeXeE7lMw9dxqelFzaNp68ALUK+QEJlR1U41+xc/qSAagePtxGt1x0x66YLFQ0xfaPI3DByu7C6ZPQ+2Gpn1Tt1dVhG7Pff/uoEDpYLlUtTtQM5r1cX90avp9qOv27qN3KuS1ETVVV7tTv6/csG/fXLDQeqkWZbkMXFt/2zOxlLweLrkJ5eo5HmZmlgSsEZcMzAsCjKXYpPQIw2RGQIj2IddpiglARlwKYAlIDMVzbqQTNLXItmAJpSSNKE5nDJgcADJSyTARARl6ZDn3yNAjQ79iLsCagAK0a8koQLsuMLcIW0N6iexyxQDFBCC7FGEUw6CLE7G+OFP92Q/kA/h1WKTwJJRREvrzOvpcQ7yWQWZwR8dSB35tJV4hTiXOEK8khmids7MmhNWa8RxSDfObCKMb5g8jxr9wJ1jPvqy9PhP/i0GjSeQNwn0zF064aDKONfOvBGdO0UUngWIYq6Oca/1r5di/c+gK/bsDf6IlxnxW4gwarOGeIfywoeTAD8szmRQarD8U0GZjOTGY04qXOcd8GnUEDTbjWtZjV4JDg+WDYWLuCf1kMdeuZUbmLTmeQWfquZCf+vfGBzOVWsY9F/xJPRf6pJ4L5zYtxDdwpcwV55zjPylwZYX4xmdUPPSfqz99+HBxuVyvg+o8DHRT8A3EtwC+/6Z110uq73pU8Z9vt8v9idVTGfwFqBNytwplbmRzdHJlYW0KZW5kb2JqCgo0MCAwIG9iago8PC9UeXBlL0NhdGFsb2cvUGFnZXMgMTQgMCBSPj4KZW5kb2JqCgo0MSAwIG9iago8PC9Qcm9kdWNlcihwZGZUZVgtMS40MC4yNSBcKENyb3BwZWQgYnkgcGRmQ3JvcE1hcmdpbnM+PTIuMC5cKSkvQ3JlYXRvcihUZVgpL0NyZWF0aW9uRGF0ZShEOjIwMjMxMjA5MTEzOTUwKzAxJzAwJykvTW9kRGF0ZShEOjIwMjMxMjA5MTEzOTUwKzAxJzAwJykvUFRFWC5GdWxsYmFubmVyKFRoaXMgaXMgcGRmVGVYLCBWZXJzaW9uIDMuMTQxNTkyNjUzLTIuNi0xLjQwLjI1IFwoVGVYIExpdmUgMjAyM1wpIGtwYXRoc2VhIHZlcnNpb24gNi4zLjUpL3BkZkNyb3BNYXJnaW5zUmVzdG9yZURhdGEoW1swLjAsIDAuMCwgNjEyLjAsIDc5Mi4wXV0pPj4KZW5kb2JqCgp4cmVmCjAgNDQKMDAwMDAwMDAxMyAwMDI1NiBmIAowMDAwMDAwMDE2IDAwMDAwIG4gCjAwMDAwMDAwMzcgMDAwMDAgbiAKMDAwMDAwMDA1OCAwMDAwMCBuIAowMDAwMDAwMTA3IDAwMDAwIG4gCjAwMDAwMDAyNjYgMDAwMDAgbiAKMDAwMDAwMDQwMCAwMDAwMCBuIAowMDAwMDA2MTg0IDAwMDAwIG4gCjAwMDAwMDYzMjkgMDAwMDAgbiAKMDAwMDAwNjUwNCAwMDAwMCBuIAowMDAwMDA2NjQ5IDAwMDAwIG4gCjAwMDAwMDY3OTYgMDAwMDAgbiAKMDAwMDAwNjk0MCAwMDAwMCBuIAowMDAwMDAwMDQyIDAwMDAxIGYgCjAwMDAwMDcwODUgMDAwMDAgbiAKMDAwMDAwNzEzOCAwMDAwMCBuIAowMDAwMDA3MTYzIDAwMDAwIG4gCjAwMDAwMDcxODggMDAwMDAgbiAKMDAwMDAwNzIxMyAwMDAwMCBuIAowMDAwMDA3NjczIDAwMDAwIG4gCjAwMDAwMDc4MzQgMDAwMDAgbiAKMDAwMDAwODE5MyAwMDAwMCBuIAowMDAwMDA4MjUyIDAwMDAwIG4gCjAwMDAwMTUyMDIgMDAwMDAgbiAKMDAwMDAxNTQxMSAwMDAwMCBuIAowMDAwMDI0OTI4IDAwMDAwIG4gCjAwMDAwMjUxNzcgMDAwMDAgbiAKMDAwMDAzMjE2OCAwMDAwMCBuIAowMDAwMDMyMzcwIDAwMDAwIG4gCjAwMDAwMzk1ODIgMDAwMDAgbiAKMDAwMDAzOTgwNyAwMDAwMCBuIAowMDAwMDQ2NzYyIDAwMDAwIG4gCjAwMDAwNDY5NjkgMDAwMDAgbiAKMDAwMDA1ODkyMiAwMDAwMCBuIAowMDAwMDU5MjEwIDAwMDAwIG4gCjAwMDAwNTk5NzYgMDAwMDAgbiAKMDAwMDA2MDc4NSAwMDAwMCBuIAowMDAwMDYxNTk1IDAwMDAwIG4gCjAwMDAwNjI1NjUgMDAwMDAgbiAKMDAwMDA2MzUzNSAwMDAwMCBuIAowMDAwMDY0MzA0IDAwMDAwIG4gCjAwMDAwNjQzNTIgMDAwMDAgbiAKMDAwMDAwMDA0MyAwMDAwMSBmIAowMDAwMDY0Njc5IDAwMDAxIGYgCgp0cmFpbGVyCjw8L1NpemUgNDQvSW5mbyA0MSAwIFIvUm9vdCA0MCAwIFIvSURbPDA0RUU3NTY2QTA2MkQ4NjQ3MDE0RjhFODZGRkM2QkNEPjwzODczNzdEMjc1MzA1MjZCQTk1ODhDQTNCMUQ3MDFGND5dPj4Kc3RhcnR4cmVmCjY0Njc5CiUlRU9GCg==" | https://arxiv.org/abs/2211.14853 | arxiv | 2022-11-29T02:14:08 | |
Schematic diagram of a telescope with an optical instrument that increases the equivalent focal length, $f_{eq}$, and with the exit pupil closer to the focal plane than the entrance pupil ($d_p<f_{eq}$) so that the non-telecentric angle, $\theta_{out}$, is greater than the entrance radiation angle $\theta_{in}$ | \documentclass[a4paper]{spie}
\usepackage{amsmath,amsfonts,amssymb}
\usepackage[colorlinks=true, allcolors=blue]{hyperref}
\usepackage{tikz}
\usetikzlibrary{quotes,angles,calc,patterns,shapes.geometric}
\begin{document}
\begin{tikzpicture}[scale=0.9]
\draw[<->, very thick] (0,-3) to (0,3);%
\draw (0,0) node[above, rotate=90]{Entrance Pupil};
\draw[>-<, very thick] (7,-2.4) to (7,2.4); %seconda lente
\draw[dash dot] (-7,0) to (10,0); %asse ottico
%% ON AXIS
\draw[blue] (-1,3) to (0,3) to (7,0.375);
\draw[dotted] (-7,3) to (0,3);
\draw[dotted,blue] (7,0.375) to (8,0);
%% OFF AXIS
\draw[red] (-1,2.75) to (0,3) to (7,2.125);
\draw[dotted,red] (7,2.125) to (8,2);
\draw[red] (7,2.125) to (9,4);
\draw[dotted] (-7,0) to (9,4);
\draw[dotted] (9,0) to (9,4) ;
\draw[red] (-2,-0.5) to (7,1.75);
\draw[dotted,red] (7,1.75) to (8,2); %chief red
\draw[red] (7,1.75) to (9,4);
\draw[dash dot,red!50] (6,1.75) to (9,1.75);
\draw[red] (-1,-3.25) to (0,-3) to (7,1.375);
\draw[dotted,red] (7,1.375) to (8,2);
\draw[red] (7,1.375) to (9,4);
\draw[dotted,red] (7,0) to (9,4);
\draw[blue] (-1,-3) to (0,-3) to (7,-0.375);
\draw[dotted] (-7,-3) to (0,-3);
\draw[dotted,blue] (7,-0.375) to (8,0);
\draw[dotted] (-7,3) to (5.4444,0.66675) to (7,0.375);
\draw[dotted] (-7,-3) to (5.4444,-0.66675) to (7,-0.375);
\draw[blue] (7,0.375) to (9,0);
\draw[blue] (7,-0.375) to (9,0);
\coordinate (a) at (-1,-0.25); \coordinate (b) at (0,0); \coordinate (c) at (-1,0);
\pic[draw,"$\theta_{in}$", draw=black,<->,angle eccentricity=1.3,angle radius=1.5cm]{angle=c--b--a};
\coordinate (d) at (8,1.75); \coordinate (e) at (7,1.75); \coordinate (f) at (9,4);
\pic[draw,"$\theta_{out}$", draw=black,<->,angle eccentricity=1.3,angle radius=1.5cm]{angle=d--e--f};
\coordinate (g) at (7,0); \coordinate (h) at (5.4444,0); \coordinate (i) at (7,1.75);
\pic[draw,"$\theta_{out}$", draw=black,<->,angle eccentricity=1.3,angle radius=0.5cm]{angle=g--h--i};
\draw[dotted,red] (5.4444,0) to (7,1.75);
\draw[red] (5.4444,0.66675) circle (1pt);
\draw[dotted,red] (5.4444,0.66675) to (7,2.125);
\draw[dotted,red] (5.4444,-0.66675) to (7,1.375);
\draw[dotted] (5.4444,-3) to (5.4444,3) ;
\draw[-|] (5.4444,3) to (5.4444,0.66675);%
\draw (5.4444,0) node[below,anchor=south,rotate=90]{Exit Pupil} ;
\draw[-|] (5.4444,-3) to (5.4444,-0.66675);
\draw[dashed, <->] (-7,-3.5) -- (9,-3.5) node[above, midway]{$f_{eq}$};
\draw[dashed, <->] (5.4444,-2.5) -- (9,-2.5) node[below, midway]{$d_p$};
%%% LEGEND
\draw[blue, thick] (-5.5,1.5) to (-4.5,1.5) node[right]{on axis source};
\draw[red, thick] (-5.5,1) to (-4.5,1) node[right]{off axis source};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2211.10150 | arxiv | 2022-11-21T02:09:52 | |
Penrose diagram of de Sitter space with the value of the (dimensionless) de Sitter invariant distance $Z(x,y)$ depicted, where the point $x$ is located in the lower left corner of the Penrose diagram. Further, $\bar x$ denotes the antipodal point. For instance, $Z(x,y)>1$ if the point $y$ lies in the Northern static patch. | \documentclass[amsmath,amssymb,11pt]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amsmath,amsopn}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{snakes}
\begin{document}
\begin{tikzpicture}
\draw[thick] (0,0) -- (4,0);
\draw[thick] (0,0) -- (0,4) node[pos=.5,above,rotate=90]{North Pole};
\draw[thick] (0,4) -- (4,4);
\draw[thick] (4,0) -- (4,4) node[pos=.5,below,rotate=90]{South Pole};
\draw (0,0) -- (4,4) node[black!85,scale=.75,pos=.25,above,rotate=45]{$Z=1$} node[black!85,scale=.75,pos=.75,below,rotate=45]{$Z=-1$};
\draw (0,4) -- (4,0) node[black!85,scale=.75,pos=.25,below,rotate=-45]{$Z=0$} node[black!85,scale=.75,pos=.75,above,rotate=-45]{$Z=0$};
\filldraw[red] (0,0) circle (2pt) node[anchor=north east]{$x$};
\filldraw[red] (4,4) circle (2pt) node[anchor=south west]{$\bar x$};
\node at (1,2) {$Z>1$};
\node at (3,2) {$Z<-1$};
\node at (2,3) {$Z>-1$};
\node at (2,1) {$Z<1$};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2212.01394 | arxiv | 2022-12-06T02:00:11 | |
An example for converting a classical problem of calculating the number of rabbits and chicken in a house, to a pure mathematical problem represented as a diagram. The house has rabbits and chickens, with in total 35 heads and 94 feet, then how many rabbits and chickens are there respectively? After abstraction, only related numbers and variables remain, and it turns out that the object $Z$ has two equivalent inductive limits: $\textcolor[RGB]{255,0,0}{35X+94Y}$ and $\textcolor[RGB]{0,0,255}{aX+bX+ 4aY+2bY}$. By exploiting this equivalence of the two limits, we can compute the two numbers with algebra. | \documentclass[11pt]{article}
\usepackage{amsmath}
\usepackage{tikz}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1]
\draw (91.38,240.05) node {\includegraphics[width=38.58pt,height=38.58pt]{example-image}};
\draw (243.32,237.98) node {\includegraphics[width=35.68pt,height=35.68pt]{example-image}};
\draw (168.9,106.54) -- (199.8,133.77) -- (138,133.77) -- cycle ;
\draw (188.27,169.66) -- (229.87,208.93) ;
\draw [shift={(186.09,167.6)}, rotate = 43.35] [fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.08] [draw opacity=0] (10.72,-5.15) -- (0,0) -- (10.72,5.15) -- (7.12,0) -- cycle ;
\draw (150.47,169.47) -- (102.53,207.6) ;
\draw [shift={(152.82,167.6)}, rotate = 141.5] [fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.08] [draw opacity=0] (10.72,-5.15) -- (0,0) -- (10.72,5.15) -- (7.12,0) -- cycle ;
\draw (41.87,316.67) -- (66.84,274.78) ;
\draw [shift={(67.87,273.07)}, rotate = 120.81] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ;
\draw (138.2,318) -- (113.21,275.06) ;
\draw [shift={(112.2,273.33)}, rotate = 59.8] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ;
\draw (204.87,315.67) -- (229.84,273.78) ;
\draw [shift={(230.87,272.07)}, rotate = 120.81] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ;
\draw (288.2,317) -- (263.21,274.06) ;
\draw [shift={(262.2,272.33)}, rotate = 59.8] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ;
\draw (181.4,106.19) -- (205.87,65.17) ;
\draw [shift={(179.87,108.77)}, rotate = 300.81] [fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.08] [draw opacity=0] (10.72,-5.15) -- (0,0) -- (10.72,5.15) -- (7.12,0) -- cycle ;
\draw (151.69,107.51) -- (127.2,65.43) ;
\draw [shift={(153.2,110.1)}, rotate = 239.8] [fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.08] [draw opacity=0] (10.72,-5.15) -- (0,0) -- (10.72,5.15) -- (7.12,0) -- cycle ;
\draw (138,133.77) -- (200,133.77) -- (200,164) -- (138,164) -- cycle ;
\draw (288.67,170.95) -- (336.11,170.95) -- (336.11,164.33) -- (367.73,177.57) -- (336.11,190.8) -- (336.11,184.18) -- (288.67,184.18) -- cycle ;
\draw [color={rgb, 255:red, 0; green, 0; blue, 255 } ,draw opacity=1 ] (521.27,120.43) -- (562.87,159.7) ;
\draw [shift={(519.09,118.37)}, rotate = 43.35] [fill={rgb, 255:red, 0; green, 0; blue, 255 } ,fill opacity=1 ][line width=0.08] [draw opacity=0] (10.72,-5.15) -- (0,0) -- (10.72,5.15) -- (7.12,0) -- cycle ;
\draw [color={rgb, 255:red, 0; green, 0; blue, 255 } ,draw opacity=1 ] (483.47,120.23) -- (435.53,158.37) ;
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" | https://arxiv.org/abs/2303.04571 | arxiv | 2023-05-04T02:15:28 | |
An illustration of $f_F$. The vertical line segment $Q_0Q_3=\{\bx\}\times[0,b]$ intersects $S_i$ at $Q_i$, $i=0,\ldots,3$. The last coordinate of $f_F(Q_i)$ is $\varphi(Q_i)$. This figure is drawn with $r=3$. | \documentclass[12pt,a4paper,reqno, UTF-8]{amsart}
\usepackage{amscd,amssymb,amsfonts,amsbsy,amsmath,verbatim,color,amsaddr,mathrsfs}
\usepackage{tikz,ifthen,bm}
\usetikzlibrary{intersections}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale=1.75,declare function={f(\t)=-2*(\t-1)+1;}]
\pgfmathsetmacro{\y}{.1}
\pgfmathsetmacro{\v}{1.5}
\pgfmathsetmacro{\h}{1.3}
\pgfmathsetmacro{\fc}{3}
\foreach \i/\tex/\sty in {
0/\pi(0)/below,1/\pi(y_1)/above right,2/\pi(y_2)/above right,3/\pi(b)/above}{
\draw(\fc*\h,\i*\v/3)node[font=\tiny,left]{$\tex$}--++(2*\h,0);
\draw[fill=black](5*\h/6+\fc*\h,\i*\v/3)circle(.02) node[font=\tiny,\sty]{$f_F(Q_\i)$};}
\draw(\fc*\h+5*\h/6,0)--++(0,\v);
\foreach \i in {1,2}
\draw[help lines](0,{\i*\v/3})--++(2*\h,0);
\draw[->,>=latex](2*\h,\v/2)--node[above]{$f_F$}++(\h/2-\y+.2,0);
%% ��ͼ
\foreach \i in {0,3}
\draw[red,very thick,text=black] (0,\i*\v/3)node[font=\tiny,left]{$S_\i$} --++(2*\h,0);
\foreach \i/\j in {1/0,2/-.2}
\draw[red,very thick,text=black](0,{\i*\v/3}) node[left,font=\tiny]{$S_\i$}--++(\h/3+\j,0) parabola bend ++ (.5*\h,{-f(\i)*\y}) ++(.5*\h,{-f(\i)*\y}) --++(\h/15,{f(\i)*\y})--++(4*\h/15,0) --++(\h/15,{f(\i)*\y}) parabola bend ++(0,0)++(.5*\h,{-f(\i)*\y}) --++(\h/3-\j-.05,0);
\draw(5*\h/6,0)--++(0,\v);
\foreach \i/\tex/\sty in {\v/3/above,{2*\v/3}/2/above right, {\v/3-\y}/1/below right, 0/0/below}
\draw[fill=black](\h/2+\h/3,\i)circle[radius=.02] node[font=\tiny,\sty]{$Q_\tex$};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2209.03008 | arxiv | 2022-09-08T02:11:08 | |
Illustration of {\dcpriorityopt}. An optimal parity condition consistent with $(\F_0',\F_1')$ can redefine the priority of $q_0$ to $2$ and thus use one priority less. | \documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{automata, positioning, arrows}
\begin{document}
\begin{tikzpicture}[node distance=3cm,thick,scale=0.7, every node/.style={scale=0.7}]
\node(q0)[state with output, initial,initial text={}] at (0,0)
{$q_0$ \nodepart{lower} $1$};
\node(q1)[state with output, right of=q0]
{$q_1$ \nodepart{lower} $2$};
\node(q2)[state with output, right of=q1]
{$q_2$ \nodepart{lower} $3$};
\node(q3)[state with output, right of=q2]
{$q_2$ \nodepart{lower} $4$};
\path[-stealth]
(q0) edge [loop above] node{$a$} ()
(q0) edge node[above]{$b$} (q1)
(q1) edge [bend left] node[above]{$b$} (q0)
(q1) edge node[above]{$a$} (q2)
(q2) edge [bend left] node[above]{$a$} (q1)
(q2) edge node[above]{$b$} (q3)
(q3) edge [bend right] node[above]{$a$} (q1)
;
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2211.08787 | arxiv | 2022-11-17T02:10:56 | |
Illustration of the substellar longitude, $\gamma$, and its relation to other angles and lines. Line IF is an inertial line and line PS is the line connecting the center of the star and the planet. The ellipse surrounding point P represents the planet's geometry as a triaxial ellipsoid. This figure is a recreation of Figure 2 of \citet{Gold1966} when a planet is near 1:1 synchronous rotation. | \documentclass[fleqn,usenatbib]{mnras}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{xcolor}
\usepackage{tikz}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}
\usetikzlibrary{calc}
\newcommand{\tikzAngleOfLine}{\tikz@AngleOfLine}
\def\tikz@AngleOfLine(#1)(#2)#3{%
\pgfmathanglebetweenpoints{%
\pgfpointanchor{#1}{center}}{%
\pgfpointanchor{#2}{center}}
\pgfmathsetmacro{#3}{\pgfmathresult}%
}
\node[white] at (0,-0.5){-- .. -.-. .... . .-.. .-.. . / .-.. .. --};
\draw (-5,0) node[anchor=north]{\LARGE\textbf I} --
(5,0) node[anchor=north]{\LARGE\textbf F}
(-3,0) node{}--
(3,3) node[anchor=west]{\LARGE\textbf P} --
(2,0) node{}
%%
(-3,0) node{}--
(-4.5,-0.75) node[anchor=north]{\LARGE\textbf S};
%%
\draw [color=black, fill=black] (-3,0) circle(0.04)
(3,3) circle(0.04);
%%%% ANGLE LABELS %%%%%%
\coordinate (A) at (-3,0);
\coordinate (B) at (2,0);
\coordinate (P) at (3,3);
\coordinate (F) at (5,0);
\coordinate (I) at (-5,0);
\tikzAngleOfLine(I)(F){\AngleStart}
\tikzAngleOfLine(A)(P){\AngleEnd}
\draw[black, ->] (A)+(\AngleStart:1.5cm) arc (\AngleStart:\AngleEnd:1.5cm);
\node at ($(A)+({(\AngleStart+\AngleEnd)/2}:1 cm)$) {\LARGE$\textbf M$};
\tikzAngleOfLine(P)(A){\AngleStart}
\tikzAngleOfLine(P)(B){\AngleEnd}
\draw[black, ->] (P)+(\AngleStart:1.3cm) arc (\AngleStart:\AngleEnd:1.3cm);
\node at ($(P)+({(\AngleStart+\AngleEnd)/2}:1.1cm)$) {\LARGE$\boldsymbol \gamma$};
\node[anchor=north west] at ($(P)+(\AngleEnd:1cm)$){\LARGE\textbf J};
\draw [color=black, fill=black] ($(P)+(\AngleEnd:1cm)$) circle(0.04);
\tikzAngleOfLine(B)(F){\AngleStart}
\tikzAngleOfLine(B)(P){\AngleEnd}
\draw[black, ->] (B)+(\AngleStart:1cm) arc (\AngleStart:\AngleEnd:1cm);
\node at ($(B)+({(\AngleStart+\AngleEnd)/2}:0.7cm)$) {\LARGE$\boldsymbol \theta$};
%%%%%ELLIPSE%%%%%%
\draw [rotate around={-20:(3,3)}] (P) ellipse (0.5cm and 1cm);
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2303.14546 | arxiv | 2023-03-28T02:14:12 | |
Percentage improvement in mean squared error of MAICc with $c=\bar{c}$ over AICc when $n=30$ and $p=10$. | \documentclass[11pt, a4paper]{article}
\usepackage{bm, amsmath, amsthm, amssymb, accents, comment}
\usepackage{tikz}
\usepackage{pgfplots}
\pgfplotsset{
compat=newest,
cycle list name=exotic }
\begin{document}
\begin{tikzpicture}
\begin{axis}[
title={},
xlabel={$\| \beta \|$}, xmin=0, xmax=5,
ylabel={\% improvement in MSE}, ymin=0, ymax=12,
width=0.45\linewidth,
legend entries={$\sigma^2=0.1$,$\sigma^2=1$,$\sigma^2=10$}
]
\addplot[thick, color=black,
filter discard warning=false, unbounded coords=discard
] table {
0 9.7290
0.1000 8.7827
0.2000 6.0882
0.3000 3.6939
0.4000 2.3637
0.5000 1.5990
0.6000 1.1471
0.7000 0.8606
0.8000 0.6709
0.9000 0.5342
1.0000 0.4366
1.1000 0.3587
1.2000 0.3047
1.3000 0.2584
1.4000 0.2262
1.5000 0.1962
1.6000 0.1736
1.7000 0.1536
1.8000 0.1373
1.9000 0.1230
2.0000 0.1115
2.1000 0.1015
2.2000 0.0919
2.3000 0.0846
2.4000 0.0774
2.5000 0.0713
2.6000 0.0660
2.7000 0.0611
2.8000 0.0573
2.9000 0.0526
3.0000 0.0496
3.1000 0.0463
3.2000 0.0436
3.3000 0.0408
3.4000 0.0386
3.5000 0.0365
3.6000 0.0343
3.7000 0.0324
3.8000 0.0307
3.9000 0.0293
4.0000 0.0277
4.1000 0.0267
4.2000 0.0252
4.3000 0.0239
4.4000 0.0228
4.5000 0.0220
4.6000 0.0211
4.7000 0.0204
4.8000 0.0194
4.9000 0.0187
5.0000 0.0179
};
\addplot[dashed, thick, color=black,
filter discard warning=false, unbounded coords=discard
] table {
0 9.7124
0.1000 9.6232
0.2000 9.4672
0.3000 8.9431
0.4000 8.1896
0.5000 7.2948
0.6000 6.3596
0.7000 5.4509
0.8000 4.6910
0.9000 3.9879
1.0000 3.4434
1.1000 2.9847
1.2000 2.5882
1.3000 2.2648
1.4000 1.9775
1.5000 1.7471
1.6000 1.5682
1.7000 1.4042
1.8000 1.2523
1.9000 1.1437
2.0000 1.0522
2.1000 0.9512
2.2000 0.8665
2.3000 0.8005
2.4000 0.7391
2.5000 0.6830
2.6000 0.6358
2.7000 0.5926
2.8000 0.5531
2.9000 0.5161
3.0000 0.4801
3.1000 0.4501
3.2000 0.4257
3.3000 0.4029
3.4000 0.3760
3.5000 0.3587
3.6000 0.3377
3.7000 0.3213
3.8000 0.3018
3.9000 0.2878
4.0000 0.2761
4.1000 0.2633
4.2000 0.2526
4.3000 0.2383
4.4000 0.2252
4.5000 0.2207
4.6000 0.2087
4.7000 0.1978
4.8000 0.1917
4.9000 0.1843
5.0000 0.1765
};
\addplot[dotted, thick, color=black,
filter discard warning=false, unbounded coords=discard
] table {
0 9.7028
0.1000 9.7806
0.2000 9.7239
0.3000 9.5554
0.4000 9.6331
0.5000 9.5203
0.6000 9.4908
0.7000 9.3862
0.8000 9.2641
0.9000 9.1941
1.0000 8.8572
1.1000 8.6070
1.2000 8.3511
1.3000 8.1151
1.4000 7.7670
1.5000 7.4521
1.6000 7.2788
1.7000 6.9164
1.8000 6.6626
1.9000 6.3250
2.0000 6.0694
2.1000 5.7941
2.2000 5.4709
2.3000 5.2026
2.4000 4.9776
2.5000 4.7414
2.6000 4.4840
2.7000 4.2932
2.8000 4.1050
2.9000 3.8788
3.0000 3.6927
3.1000 3.5123
3.2000 3.3709
3.3000 3.2088
3.4000 3.0892
3.5000 2.9266
3.6000 2.8093
3.7000 2.7027
3.8000 2.5506
3.9000 2.4674
4.0000 2.3846
4.1000 2.2631
4.2000 2.1708
4.3000 2.0809
4.4000 2.0019
4.5000 1.9466
4.6000 1.8516
4.7000 1.7921
4.8000 1.7247
4.9000 1.6652
5.0000 1.5991
};
\end{axis}
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2211.09326 | arxiv | 2022-11-18T02:05:58 | |
Structure of the used DNN. The number of nodes in the first and last layer are equal to the number of heat exchanges and estimated states in each test case. The hidden layers have 100, 250 and 250 Nodes in both cases. | \documentclass[5p,12pt]{elsarticle}
\usepackage{color}
\usepackage[cmex10]{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
% input layer:
\node at (0,7) [circle,draw] (01){$q_1$};
\node at (0,6) [circle,draw] (02){$q_2$};
\node at (0,4) [circle,draw] (03){$q_n$};
% first layer
\node at (3,8) [circle,draw] (21){};
\node at (3,7) [circle,draw] (22){};
\node at (3,6) [circle,draw] (23){};
\node at (3,5) [circle,draw] (24){};
\node at (3,3) [circle,draw] (25){};
% second layer
\node at (6,9) [circle,draw] (41){};
\node at (6,8) [circle,draw] (42){};
\node at (6,7) [circle,draw] (43){};
\node at (6,6) [circle,draw] (44){};
\node at (6,5) [circle,draw] (45){};
\node at (6,4) [circle,draw] (46){};
\node at (6,2) [circle,draw] (47){};
% third layer
\node at (9,9) [circle,draw] (61){};
\node at (9,8) [circle,draw] (62){};
\node at (9,7) [circle,draw] (63){};
\node at (9,6) [circle,draw] (64){};
\node at (9,5) [circle,draw] (65){};
\node at (9,4) [circle,draw] (66){};
\node at (9,2) [circle,draw] (67){};
% with larger nodes:
% input layer
% % second layer
% % third layer
% % output layer
% output layer
\node at (12,8) [circle,draw] (81){$x_1$};
\node at (12,7) [circle,draw] (82){$x_2$};
\node at (12,6) [circle,draw] (83){$x_3$};
\node at (12,5) [circle,draw] (84){$x_4$};
\node at (12,3) [circle,draw] (85){$x_n$};
% three dots:
% input layer
\node at (0, 5.5)[circle,fill,inner sep=1.5pt]{};
\node at (0, 5)[circle,fill,inner sep=1.5pt]{};
\node at (0, 4.5)[circle,fill,inner sep=1.5pt]{};
% first layer
\node at (3, 4.5)[circle,fill,inner sep=1.5pt]{};
\node at (3, 4)[circle,fill,inner sep=1.5pt]{};
\node at (3, 3.5)[circle,fill,inner sep=1.5pt]{};
% second layer
\node at (6, 3.5)[circle,fill,inner sep=1.5pt]{};
\node at (6, 3)[circle,fill,inner sep=1.5pt]{};
\node at (6, 2.5)[circle,fill,inner sep=1.5pt]{};
% third layer
\node at (9, 3.5)[circle,fill,inner sep=1.5pt]{};
\node at (9, 3)[circle,fill,inner sep=1.5pt]{};
\node at (9, 2.5)[circle,fill,inner sep=1.5pt]{};
% output layer
\node at (12, 4.5)[circle,fill,inner sep=1.5pt]{};
\node at (12, 4)[circle,fill,inner sep=1.5pt]{};
\node at (12, 3.5)[circle,fill,inner sep=1.5pt]{};
% draw all lines
\foreach \x in {1,...,3}
\foreach \y [count=\yi] in {1,...,5}
\draw (0\x)--(2\yi);
\foreach \x in {1,...,5}
\foreach \y [count=\yi] in {1,...,7}
\draw (2\x)--(4\yi);
\foreach \x in {1,...,7}
\foreach \y [count=\yi] in {1,...,7}
\draw (4\x)--(6\yi);
\foreach \x in {1,...,7}
\foreach \y [count=\yi] in {1,...,5}
\draw (6\x)--(8\yi);
% header notation
\node[align=center] at (0,10) {input layer \\ n = $n_{heat exchanges}$};
\node[align=center] at (3,10) {first layer \\ n = 100\\ activation: ReLu};
\node[align=center] at (6,10) {second layer \\ n = 250 \\ activation: ReLu};
\node[align=center] at (9,10) {third layer \\ n = 250\\ activation: ReLu};
\node[align=center] at (12,10) {output layer \\ n = $n_{states}$\\ activation: Linear};
\end{tikzpicture}
\end{document} | 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0Nzc4MyAwMDAwMCBuIAowMDAwMDAwMDMyIDAwMDAxIGYgCjAwMDAwNDgxMzQgMDAwMDEgZiAKCnRyYWlsZXIKPDwvU2l6ZSAzMy9JbmZvIDMwIDAgUi9Sb290IDI5IDAgUi9JRFs8QzRDQjkwQUE2Njg2MjlENDI0NjdENTJBOUIwREU2MDc+PDgxNTJBRkExN0RDNDM1NDE3OTQ4OUI2NjJGNzVGODEzPl0+PgpzdGFydHhyZWYKNDgxMzQKJSVFT0YK" | https://arxiv.org/abs/2305.15445 | arxiv | 2023-05-26T02:00:25 | |
\captionFigTraj{counter flow}{$\lambda=0.1$ s$^{-1}$ (low pedestrian reactivity)}{1}{No lane formation emerges when the pedestrians are not sufficiently reactive, yielding in gridlocks in the dynamics. The Hamiltonian presents large fluctuations and remains lower than $H^\ast$.} | \documentclass{article}
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" | https://arxiv.org/abs/2211.06503 | arxiv | 2022-12-13T02:01:36 | |
Let $S_j$ denote the set of optimal first messages Alice could send in $\mathrm{Task}_j$. Then if two sets are disjoint, Alice would have to hedge her cheating attempts if Bob switches between those two tasks (e.g., $\mathrm{Task}_1$ and $\mathrm{Task}_2$). If the two sets have a nonempty intersection, Alice would have no difficulty cheating if Bob switches between those two tasks (e.g., $\mathrm{Task}_3$ and $\mathrm{Task}_4$). | \documentclass[11pt]{article}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage[usenames]{color}
\usepackage{tikz}
\usepackage{color,graphicx}
\begin{document}
\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1]
\draw (223,166.25) .. controls (223,143.47) and (248.74,125) .. (280.5,125) .. controls (312.26,125) and (338,143.47) .. (338,166.25) .. controls (338,189.03) and (312.26,207.5) .. (280.5,207.5) .. controls (248.74,207.5) and (223,189.03) .. (223,166.25) -- cycle ;
\draw (372,166.25) .. controls (372,143.47) and (397.74,125) .. (429.5,125) .. controls (461.26,125) and (487,143.47) .. (487,166.25) .. controls (487,189.03) and (461.26,207.5) .. (429.5,207.5) .. controls (397.74,207.5) and (372,189.03) .. (372,166.25) -- cycle ;
\draw (275.43,248.35) .. controls (283.44,235.61) and (325.57,247.65) .. (369.55,275.26) .. controls (413.52,302.87) and (442.68,335.58) .. (434.68,348.33) .. controls (426.68,361.07) and (384.54,349.03) .. (340.57,321.42) .. controls (296.59,293.81) and (267.43,261.1) .. (275.43,248.35) -- cycle ;
\draw (276.75,350.37) .. controls (269.57,337.07) and (298.81,303) .. (342.05,274.26) .. controls (385.3,245.53) and (426.18,233.02) .. (433.36,246.31) .. controls (440.54,259.61) and (411.31,293.68) .. (368.06,322.42) .. controls (324.81,351.15) and (283.93,363.66) .. (276.75,350.37) -- cycle ;
% Text Node
\draw (271,160.4) node [anchor=north west][inner sep=0.75pt] {$S_{1}$};
% Text Node
\draw (420,160.4) node [anchor=north west][inner sep=0.75pt] {$S_{2}$};
% Text Node
\draw (287,251.55) node [anchor=north west][inner sep=0.75pt] {$S_{3}$};
% Text Node
\draw (407,251.55) node [anchor=north west][inner sep=0.75pt] {$S_{4}$};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2304.13200 | arxiv | 2023-04-27T02:06:22 | |
Left: A stochastic context-free grammar (SCFG) and the associated positive polynomial system (PPS) which encodes the termination probabilities of each non-terminal, assuming production rules are taken uniformly at random. Right: The curves defined by the two equations. The least fixpoint (lfp) is $\approx (0.66,0.70)$. The thin colored area to the top right of the lfp is the set of inductive, i.e., self-certifying upper bounds on the lfp. | \documentclass[runningheads]{llncs}
\usepackage[T1]{fontenc}
\usepackage[table]{xcolor}
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\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
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\usetikzlibrary{decorations.pathreplacing}
\usepackage{pgfplots}
\pgfplotsset{compat=1.15}
\usetikzlibrary{arrows}
\usepackage{pgfplots}
\pgfplotsset{compat=newest}
\usepgfplotslibrary{fillbetween}
\begin{document}
\begin{tikzpicture}[scale=0.8]
\begin{axis}[
scale=0.5,
axis lines = middle,
xlabel = {$x$},
ylabel = {$y$},
xmin=0.3, xmax=1.1,
ymin=0.3, ymax=1.1]
% Plot line
\addplot [name path = B,
red,
domain = 0.1:1.1] {sqrt(2*x - 1) / sqrt(x)};
% Plot hyperbola 1
\addplot [name path = A,
blue,
domain = 0.1:1.1,
samples = 100] {0.3333 * (1 + x + x*x)};
% lfp and eigenvector
\coordinate (lfp) at (0.6626, 0.7005);
\node[fill=black,circle,scale=0.4,label={right:\scriptsize $\approx(.66,.7)$}] (lfp) at (lfp) {};
% other fp
\node[fill=black,circle,scale=0.4,label={left,xshift=-0.5mm:\scriptsize $(1,1)$}] at (1,1) {};
% Fill area of inductive points
\addplot [teal!10] fill between [of = A and B, soft clip={domain=0.6626:1.0}];
\end{axis}
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2301.08657 | arxiv | 2023-01-23T02:13:40 | |
Inclusion diagram for graph classes discussed here (and related ones). If a class $A$ has an upward path to class $B$, then $A$ is included in $B$. For graphs in the gray classes, the complexity of \textsc{Isometric Path Cover}\xspace is open; for all other graph classes, it is NP-complete. For all shown graph classes, \textsc{Isometric Path Cover}\xspace is constant-factor approximable in polynomial time. Constant factor approximation algorithms for \textsc{Isometric Path Cover}\xspace on graph classes marked with \textbf{*} are contributions of this paper. % \ff{FF: strangely, the edge crossing below "circular-arc" is different (has a bend) from the ones below "circle".} | \documentclass[a4paper]{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath,amsthm,amssymb,amsfonts}
\usepackage{tikz}
\usetikzlibrary{snakes}
\usetikzlibrary{positioning, fadings, backgrounds}
\usepackage[textsize=footnotesize,color=green!40]{todonotes}
\usetikzlibrary{decorations.pathmorphing}
\tikzset{snake it/.style={decorate, decoration=snake}}
\begin{document}
\begin{tikzpicture}[node distance=7mm]
\tikzstyle{mybox}=[fill=white,line width=0.5mm,rectangle, minimum height=.8cm,fill=white!70,rounded corners=1mm,draw];%
\tikzstyle{myedge}=[line width=0.5mm]
\newcommand{\tworows}[2]{\begin{tabular}{c}{#1}\\{#2}\end{tabular}}
\node[mybox] (ipacc) {\begin{tabular}{c}
Bounded isometric path \\
antichain cover number
\end{tabular}};
\node[mybox] (hyp) [below left=of ipacc,xshift=-1cm] {bounded hyperbolicity \textbf{*}} edge[myedge] (ipacc);
\node[mybox] (theta) [below right=of ipacc,xshift=1cm] {\begin{tabular}{c}
($t$-theta, $t$-prism, $t$-pyramid)- \\
free \textbf{*}
\end{tabular}} edge[myedge] (ipacc);
\node[mybox] (outer) [below left=of theta,xshift=-0.5cm, yshift=-0.15cm] {\begin{tabular}{c}
Outerstring \textbf{*} \\
\end{tabular}} edge[myedge] (theta) ;
\node[mybox, fill=gray!20] (circle) [below left=of outer,xshift=-0.2cm, yshift=-0.35cm] {\begin{tabular}{c}
circle \textbf{*}
\end{tabular}} edge[myedge] (outer);
\node[mybox] (truemper) [below right=of theta,xshift=0.5cm] {\begin{tabular}{c}
(theta,prism,pyramid)- \\
free \textbf{*}
\end{tabular}} edge[myedge] (theta) ;
\node[mybox] (univ) [below =of truemper] {\begin{tabular}{c}
Universally signable \textbf{*}
\end{tabular}} edge[myedge] (truemper);
\node[mybox] (treelength) [below=of hyp,] {bounded tree-length} edge[myedge] (hyp);
\node[mybox] (chordality) [below=of treelength, yshift=-0.4cm] {bounded chordality} edge[myedge] (treelength);
\node[mybox] (bdiameter) [below=of treelength, xshift=-4cm, yshift=-0.4cm] {bounded diameter} edge[myedge] (treelength);
\node[mybox] (chordal) [below=of chordality, yshift=-0.5cm] {chordal} edge[myedge] (chordality); \draw[myedge] (chordal.east) -| (outer.south) ; \draw[myedge] (chordal.east) -| (univ.south) ;
\node[mybox, fill=gray!20] (atfree) [below left=of chordality,xshift=-0.5cm, yshift=-0.5cm] {AT-free} edge[myedge] (chordality);
\node[mybox, fill=gray!20] (interval) [below =of chordality,yshift=-2cm] {Interval} edge[myedge] (chordal) edge[myedge] (atfree);
\node[mybox, fill=gray!20] (arc) [below =of theta, yshift=-1.75cm] {\begin{tabular}{c}
circular arc \textbf{*}
\end{tabular} } edge[myedge] (outer) edge[myedge] (truemper);
\draw[myedge] (interval.east) -- ++ (11.3,0) -- ++(0,1.25) -- ++ (0.5,0) -- ++ (0,0.5) -- ++ (-0.5,0) -- (arc.south);
\node[mybox, fill=gray!20] (perm) [below =of interval] {Permutation}; \draw[myedge] (perm.west) -| (atfree.south); \draw[myedge] (perm.east) -- ++ (2.9,0) -- ++ (0, 1.3) -- ++ (0.5,0) -- ++ (0,0.5) -- ++ (-0.5,0) -- ++ (0,1) -- ++ (0.5,0) -- ++ (0,0.5) -- ++ (-0.5,0) -- (circle.south);
\end{tikzpicture}
\end{document} | 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| https://arxiv.org/abs/2301.00278 | arxiv | 2023-01-18T02:20:27 | |
The dual graph for genus one degeneration, which is classified by Kodaira, see \cite{barth2015compact}. The data $(n_i,k_i, C_{ij})$ are read from the dual graph as follows: the number $n_i$ is listed for each component $C_i$ in the graph (if $n_i=1$, the number is omitted); $C_{ij}$ is read from the intersection number of component $C_i$ and $C_j$ in the graph; In genus one case, all the components are rational curve with $-2$ self-intersection number, and so $k_i=0$ for all the components. | \documentclass[a4paper,11pt]{article}
\usepackage{tikz-cd}
\usepackage{tikz}
\begin{document}
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\draw (117,205.4) node [anchor=north west][inner sep=0.75pt] {$II$};
% Text Node
\draw (254,205.4) node [anchor=north west][inner sep=0.75pt] {$III$};
% Text Node
\draw (434,203.4) node [anchor=north west][inner sep=0.75pt] {$IV$};
% Text Node
\draw (139,335.4) node [anchor=north west][inner sep=0.75pt] {$n$};
% Text Node
\draw (336,296.4) node [anchor=north west][inner sep=0.75pt] {$2$};
% Text Node
\draw (355,269.4) node [anchor=north west][inner sep=0.75pt] {$2$};
% Text Node
\draw (490,267.4) node [anchor=north west][inner sep=0.75pt] {$2$};
% Text Node
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% Text Node
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% Text Node
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% Text Node
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% Text Node
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% Text Node
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\end{document} | 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" | https://arxiv.org/abs/2212.02472 | arxiv | 2022-12-06T02:31:26 | |
Illustration of the strip $K_\Gamma^{(\hat{x})}$ (blue area) with $\hat{x} = (1, 0)$. Here the curve $a(t)=2\sqrt{2}(\cos t, -\sin t),\, t\in[\pi/4,3\pi/4]$ denotes the orbit (the red arc) of a point source moving from right to left. There holds $\inf(\hat{x}\cdot\, \Gamma) = -2, \,\sup(\hat{x}\cdot\, \Gamma) = 2,\,\xi_{\min}^{(\hat{x})}=3\pi/4-2,\,\xi_{\max}^{(\hat{x})}=\pi/4+2$. In this case the strip $K_\Gamma^{(\hat{x})}$ is a subset of $\{y\in{\mathbb R}^2: \hat{x}\cdot y\in \hat{x}\cdot \Gamma\}$. | \documentclass[11pt]{article}
\usepackage[T1]{fontenc}
\usepackage{latexsym,amssymb,amsmath,amsfonts,amsthm}
\usepackage{color}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
% grating
\draw[line width=0.8584cm,color=blue!20] (0,-3) -- (0,4);
\draw (-0.5,3.5) node [right] {$K_{\Gamma}^{(\hat{x})}$};
\draw[->] (-3,0) -- (3,0) node[above] {$x_1$} coordinate(x axis);
\draw[->] (0,-3) -- (0,3) node[right] {$x_2$} coordinate(y axis);
\foreach \x/\xtext in {-3,-2,-1, 1, 2, 3}
\draw[xshift=\x cm] (0pt,1pt) -- (0pt,-1pt) node[below] {$\xtext$};
\foreach \y/\ytext in {-3,-2,-1, 1, 2, 3}
\draw[yshift=\y cm] (1pt,0pt) -- (-1pt,0pt) node[left] {$\ytext$};
% periodic medium
\draw [<-, very thick,red] (-2,-2) arc [ start angle = 225, end angle = 315, radius = 2.828];
\draw [very thick, dashed] (-0.4292,-3) -- ( -0.4292,4);
\draw [very thick, dashed] ( 0.4292,-3) -- ( 0.4292,4);
\draw [very thick, densely dotted] (-2,-3) -- (-2,4);
\draw [very thick, densely dotted] (2,-3) -- (2,4);
\draw (-2,0.5) node [left] {$\inf (\hat{x}\cdot \Gamma)$};
\draw (2,-0.8) node [right] {$\sup (\hat{x}\cdot \Gamma)$};
\draw (1,-2) node [below] {$\Gamma$};
\draw [thick,->] (2.1,1) -- (2.5,1);
\draw (2.5,1) node[right] {$\hat{x} = (1,0)$};
% % notation
\end{tikzpicture}
\end{document} | 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zNTQuMiAyOTUuMSA1MzEuMyA1MzEuMyA1MzEuMyA1MzEuMyA1MzEuMyA1MzEuMyA1MzEuMyA1MzEuMyA1MzEuMyA1MzEuMyA1MzEuMyAyOTUuMSAyOTUuMSAyOTUuMSA4MjYuNCA1MDEuNyA1MDEuNyA4MjYuNCA3OTUuOCA3NTIuMSA3NjcuNCA4MTEuMSA3MjIuNiA2OTMuMSA4MzMuNSA3OTUuOCAzODIuNiA1NDUuNSA4MjUuNCA2NjMuNiA5NzIuOSA3OTUuOCA4MjYuNCA3MjIuNiA4MjYuNCA3ODEuNiA1OTAuMyA3NjcuNCA3OTUuOCA3OTUuOCAxMDkxIDc5NS44IDc5NS44IDY0OS4zIDI5NS4xIDUzMS4zIDI5NS4xIDUzMS4zXQplbmRvYmoKCjE4IDAgb2JqClsyNzcuOCA3NzcuOCA1MDAgNzc3LjggNTAwIDUzMC45IDc1MCA3NTguNSA3MTQuNyA4MjcuOSA3MzguMiA2NDMuMSA3ODYuMiA4MzEuMyA0MzkuNiA1NTQuNSA4NDkuMyA2ODAuNiA5NzAuMSA4MDMuNSA3NjIuOCA2NDIgNzkwLjYgNzU5LjMgNjEzLjIgNTg0LjQgNjgyLjggNTgzLjMgOTQ0LjQgODI4LjUgNTgwLjYgNjgyLjYgMzg4LjkgMzg4LjkgMzg4LjkgMTAwMCAxMDAwIDQxNi43IDUyOC42IDQyOS4yIDQzMi44IDUyMC41IDQ2NS42IDQ4OS42IDQ3NyA1NzYuMiAzNDQuNSA0MTEuOCA1MjAuNiAyOTguNCA4NzggNjAwLjIgNDg0LjcgNTAzLjEgNDQ2LjQgNDUxLjIgNDY4LjcgMzYxLjEgNTcyLjUgNDg0LjcgNzE1LjkgNTcxLjVdCmVuZG9iagoKMTkgMCBvYmoKPDwvTGVuZ3RoMSAxNDI2L0xlbmd0aDIgNjU2Ny9MZW5ndGgzIDAvTGVuZ3RoIDc1NDQvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjajXcHVJPb0jbSqwIiRVpQ4FAEQu+9914UEBIIEEoSkkgH6R2l9yZdunQQKVIFBOlKR4oUFaR3vljOvffc/1/r+1bWSt6ZeWb2zN7Ps9cbNhY9Qx55WzgYogKHoXn4eYESAEVtbXV+IAAIFOQFAgWI2diMoGhnyN9+YjYTCBIFhcMk/gOhiISA0BifEgiNAWrDYQCNJ84AfkEAv4gEv6gEEAgQAALF/wbCkRIAJZAb1BagzQvQgMMgKGI2RTjCEwm1d0Bj1vn7EcBhwwngFxcXffArHSDvAkFCbUAwgDYI7QBxwaxoA3IGGMJtoBC05z9KcEg5oNEICT4+d3d3XpALiheOtJfhfABwh6IdAAYQFATpBrEF/BwZoANygfwZjZeYDWDkAEX9DhjC7dDuICQEgHE4Q20gMBQm5QnMFoIEYFYHGKprAXQRENhvsNZvwAPAn80B8PPy/6vcn+yfhaCwX8kgGxu4CwIE84TC7AF2UGcIQFdFixftgX4AAMFsfwJBzig4Jh/kBoI6g8AYwK/WQQAVeX0ACDPhn/lQNkgoAo3iRUGdf87I97MMZpuVYbaKcBcXCAyNIv7ZnxIUCbHB7Lsn35/DdYLB3WHef1t2UJit3c8xbJ8g+IxhUNcnEHWlPxiMi/jfPnsIGiAMFBMVFBMGQFwBEA8bB76fCxh5IiC/gvw/3ZgZfL0RcATADjMGxBdqB8H8EHujQG4QABr5BOLr/Z+Bf1rE/PwAW6gNGgCG2ENhxP+ujnFD7H7bmPNHQj0A5kAM/fgBwJ+ffz1ZYhhmC4c5e/4b/uuI+YxUdNSNVbn/jPyvoIIC3APgzSMoAOAREAYC+IFCYgBRzIPvP+vogaB/+viPXHWYHRzws9jPfjEb9XfPbn9IwPFHIZyAfxbTgWOoCwFw/JvpFkBhoA3mi///zPdfKf8/mv+s8r8y/b87Unni7PwrzvEb8P/EQS5QZ88/CAx1n6AxMtCGY8QA+2+oKeS3drUhttAnLv8dVUeDMHKQh9ljKM3DL8QLFPrth6JUoB4QWz0o2sbhN21++41/Cs4ZCoPowVHQn1cMJgsI/K8YRmU2TphrBIXh5u8QCIWRHPrXQf60IRhR/bMPZZgN3Pan+gSERQAgJBLkSYw5fIwlDPDmx8jUFuLxi90APl4YHI1JAWBm9gXYwZHEPw9aVBjAp/nT9csSFgfwYQTtAvqXh18ACODz+GX+Y12bJ0gkprFfhME09bf96wqAQDwgNsSfpuA2ksGONcGtJ9Xy9O48a8NSeDupJ2YCPMMFjwnRPcpjVsvxhlmZM5qlKp+6+VUeO7brKLieZC9M73uv1jLXeQod8TCrbNgzg2Onro9uTCR4HzPcm7rVhPXCNFmBSaIY2YOlxxhF3kEka2vfY8h2y+evmq6PCe7sVCUqohohrTptHdUlmVrUDOImXz8boJvB/UZrwge0f+V8dnketBJtEZGik35PU6rtlDjevYp8qW+gf46im7EzKkDDLXBtlzUUTaEs2c+gJERQZTKXd/Mip9htO53SG6x6W27btqdskTP5pEZnz2F1b9uShSOxQ9TBOtEumv+r1ykjBWKOSiEVmZu/Hmk7mx3GjNPYJ5NwjDLpSoOqvV2o+MzopBEWouk5M9E1unTxRDNF3XykN5jjgXa89FX56lfferY3MW52odgtf1UnU6wqc1Nncm752gXl9bI6Z80dcYRMmAqYi6U6tBrJFM2JB7f4m1EICpK5QVMrjW/y1X/pIyh8eOTtJXSVt9/WpsA+41oVBYuhjPZaqp3zSS94cbbDz/euzibtVbSil7vL8pFPlceypVafC7zQt8Kr1UX429I0xbNouASAOfvlVntkcAwtb0vEvYrZle7wQ6Zy7FhbrBKd3LKzgwDq973wVixBYreSgOizba/Lbex0gA4xos4Lr1TvjqTJWLu9SF9eDwm2zKcH1z9kWlJ0/TWEXOSBQ5cGgg1TzVxU/d5t3HnULauU4hTLIdAnayPaiau6crccfHluz3I8Iwuk0u8P2ox/Ht0qv3TQnBPFOf6KfuIbaWuJdAAhr/jLL5nbB4L29Hf3M6VvMpu3WTFfg6/hVnd2FRhMChbPegMHCRr2TO8xf6PDXm3Iyni7BNrbhD9SQenGcQYnFrDt2ArsNbtH67yuGFeTOVTyPdwlnM2K63mYdLP1W90rfsdHlUH2JTfx2/nBbc2ZGqUgH+s2h5hi8FPOTveHQTs25uxAx8TdGjMsUc8Te+LbqQ50ho0heex4T30pEVc8Y1t2U48BoPMpK+IeemchL5PN/Q2Ywf5SO6NVDESuqpYL28snOS7JFMrbKD7E+awvLUMh1PDZIkpw5Plzp9wHj6PB8em7XoPNhCCSwRAhKwX8la3beJRz573DZ/w73KMzFOM3bn01ra8RGEDAM5XOM8sicNo8ZAbsptVqz8yZLY2Ujzod0w36I/34uM9JVleptwDpqeTzzmKrXmZz8Yiag5yMLDUWk+O5ANsGlgZ/SVuhvHyjwlufhCUerJy5Ud230XzONTclye01cofALLqK0ovMCUBToD++6N4jA3LtBYus8ceonzUPa5Kzh8hCPkwex0mHb9k1N0jtOmpePBtndWpyPlpgszpwYbUkTxNf4ekOyl2jcQJpDT69O3eaajSix+/9IeD2XSpYbsSzyWyVGW+w0ZuhVjv80M/fciu8I7TGttnDOzqIB8yyxFcGipbOjr/XL8rIBtyeWa0zyv3YD/9u4J4+vixBHMaUAWneIebbI4po2WBk6KSl9jz/1nTTNzg3DL0+Y5YX1HJP1H/PFR28ZHfm20G5PprIWR0qhmtoMG6W5ElDKZWJqhNwTNJ93Loc1ELO1kH63DirJWTJW2Yihi+3vOqlogt8cQ04zFbu+wIxS2P7xduBWkgmkjKS4LG7UtGuHET/wPZmN84WCGr7cPTxklx7vSwhghQqKMlQE6DQ0yzPCDk/Z+o7OCTFGb1XoWmzuW5FTHwgc/Huwgg+Kl3AxXC76d3gmWeB/6f7iNv4rGnGwwygIv8a/yxhfYFHghK0WY30/VIPVUe9+U+ubUzU6apxRDiskNr3TiLQIbb+/kHzpTrboQKWNlDQ8pHQ/rX0DuN7ZNprN8/ZKofHXJ1qmp9e+VgcfHwY4X67/q72dr7gA6767kg3YV/e0kLxIprqnHsioNY6ipuQh5vpvrE4Ii8FfDWDgN+tTKqph19HE8wO8RWLdPgNRgD3nBTiw3uvnL/LuMcvmG1JfVZ7GFPdi+vhRvnmtq//qgoPa8a9DDAVC0e9l5OSvgEYLVnbd3PTsaCpO8uJZFWH7kioYhxf6DTtYLF27tpRnivD2n4sTL/0VQ0RR9EXycGAan0yY+ZgRQR4472c5EmXIpY4ZJNdxZwjijjvIuQ09rRIdpg2BokV+S21tcXqoDKEgGLMTpfQdOED9kpJTsmTU+D8cVyME198JXuV8CHpu7GS0/rJj0QBr3gWtR6aPCoFfxUyyzYfAj4ZcqSWUZ5wqvGvYTHr6dCKbWs4edEXZ5xSfZSxAtAOcz4zUmPoh41deWZ0Q4x7e68vUCHyuHOZkfAQQeZhH0tmQJVl2uo6vVdzwLxOJXvS3UTVSWN+ufpQXj5xbMm+UfUbWyMqXomsRW3+xh/5NLFxnKftRDxcl3IZiTyJa9x9XwWqqfHVcrGdzYKTnBKqLh6+8oR7fGhwrPye4pFfY/gmFcfCs54TRiPbkm2yEajRQMd0is/N3E/vBArJNaf2mhuyS33lT5kybafONW9uRyeNrU1JLTjOydb642UleYJraWWDLgdeuwXPI5ZoOqbsbY0uYjVOBqT+UWw9o77wUf5TI1qwli+fzLCwE+VX2mNpffc83StRauGL8Pv0EknTD/KMrai19GTj6vsGaHQUK9cNtY8moTuTZDMySTcpekeOw9dI134Ick073jftylLaEtuIYt0b99nLZmlUiVwcGIpsurq7OaOVIGn1lNhWP1lDnbWhJbnrYT/HR1pqFwPXjdvH+RrmtPF+dlPkOOIPkstEaj/TWPGf5Y/7uQNIXm+/ZDB8gCfL/1w2iJBkf0p+omfR05kjcEXrRvMI+nUuM86OcSzl968bRB10ZS5yY1zU57FGVOKxs8rN2IWmuvY8M8lTndG3qtU2Eeu0N0Fq+Ez3CC28Ci7fkvONjTMFKzua4Hln8Ufs8w8FGb1KMtG6HBP2NNX08fIf219J2fWZaUATFDgq2G6GmEhXen0SnOkwmtLwa103r2mrv5oUtL50y71CwJBBxqTaJqalGUe8X24/5EFvpKVuVlfUCHhlTf6ICy7ECiOWMhRB89c7d89bvwanr0di5bRgqW9TjzJacWY9StufsIKQK980RJMVGtsIf32vuCwXFQjvESbv89BSet8unxrZ8PSyR6eI8YMBIUAr6lumXa/HuoASR3LgECy3ZmYqcxY6F1M6MvoyGkXW9ak1JujzGS9ygbAah2lf2fwlD075ZePXw5sbQSUBXm+S154jK/FubS2NsRYqlJJoYfNFxn6RaFKgPgRMLUyz+6vSZ48N8z8RAVqirAOI4w+SfNJbEjheUQvlLBZzbO4q1FzyUDi1vm7O7k12Klw+OH+tyVTpEjUvt2BVIP/X+nTHo5bxDkrCB6wGECKXCSVznIqYjhiE3+Bu5W4ECb7ZXIL8pZiLvNenwy+ZuLZtOpL3VtP8aPFH40vaEIutRyl3mugUVYtu+ifofMipfta96CMJ0CT4LkLeIb94PNFnbb3a5ijBR4JNg/Wo9rn/9ZVxERvXmQi9xcf9BoX15YSZOKmBrTW9aFYEjmOFf0fvpnsXOoQbWrIArSzQKJ3IbryYALwxLuwZ3EVtPGzJcgzxzSO2eItWU9wi2Bk4ZUrjI1ZaXgO8HiDyhkK6V0jTcMqlXlTRt22NXPq85fVOsakOcz4BPssP5yimnnmqSJjK/f09QxPDp0dNVwhWAPsPclDxrTpW5dJ4FbUYFyzORZqFAkG8cvSiwRo0w5kVyObhxHKpmCbhL775xWqY57Wvk5/WqNyXb+VvyQZVpbsflzl83OJ0qspohhKJgcfjTuRQj2lOPFSveeNCCW9t0+oeh6Y/ivruWLWiQmU01/qB7AEraCforsFs9RnKLrEuv+CjhYu/jRM//BX3+lPCsKH1RVz/TuWtMPBO1APFStf9LvbQS7Pb2+r5Gb0TqbjINxazDW8D311/PjeAwK3d4pdbkLY0CNmvIxOVVZl2k4rDd/BfvZxqNsU7QoRO7Dvh5wUN98vnMpNzfLLUXqWbprhFRE51NBf7OKBidFI36ZXz/MgHT2mGg5LHXsLK0QF0XqxXgYM23xaAg06GkYjnb+R3sR2KkSiSkDfh1nga7xOunKJam4dUlR0m2Ddk7wSFAPJvL1XSWydlrciJR7Gkwi3ktBJARimWBmiSr7e82qv+usvVeWwsGcqjPHp3LSQB/toI/Hm+XXi1qrH94o1AYptM2VdND1fBrsKld1boYsaKjM3YDz6jptNs4cD8Iel15Ti5qpZE3h2Bx0vI2kKJHA5GNZlyyMaM3tB87YRk1fHHvukXwb4uppmbPD/qtZflh71Q1iiwb2x29KfLLlSTHJVVAqqVDzsle0UlvD34lm688tuyFOfvUQsOFqrW4BtHICaxgvRGVo6Fvf7HxoK3q1zT6yYOd1b2FfHulV27tUc1HTpeUWDFyKbmnM0NyjOON64L85agJNos++gl1QQqQ97UyDq319XYUFGuXmHpFR4fsEAI82e3eND8zz7y3eXriwNLhSYlzF06nfOteS/ib44mwjOGc28HP3/fi7PytVBMlY0iAjHc+m67t1H7h8R40hns8i2rjaH/Nr0wS2l8dgswKfLzjFwIS3KD36oS0fh9MUnSpy/26q73UbiMOY+3qqXtFXfz4uoC5mVPN7anvQgkY6wsE1qRfpj/gmoJVRF86AuSrv0NEcWXoqr2z5pTT9/RS9w6VZAWZz0k+NG3TcuawdUoEnd41u+AvHXIEkTEDCmX3Bi86T9m2sNbYut3rHoFVE5dHibCKliQ419tKIzxgFZHmpS6ksYNNVWVJVaQTyG+2Bfo3HD3tFycssicQwm4uny/ks3m/Vio2XB2JOl9eGjULBRIHtqR8/Z5sU7ezgT5En6b0/ZSt+2SR6e6g7J0X1BxeKFlvCUSYBTf4UvW8l098PxbhsA8XeV9ssIw3LSrrR5zouoU4sl4myeXns3GBgFOSzixmDeS+oEI+rL3Ae2hwT6tZnoTuSZvejg2vRZGt1y83d4869JBc+UM/Ui3IcdSSns1dDeexEoS7TSxwJORtSXEyFZc3ICnUnK6k0ZHejL/rebuDRx53RyOylDUO7tXbBxz54hhpVm1ewLseKk8iEgSzR2/6gjwyoEgi/QT5X39zcQUQo5tJSnJWsfq7oHGs8VP6munAigqxryGxXP5OvtQ1YT3OoZ9kTa9AhMXLdNISt7Q+RXRScVnjxUVcpejNqqppOeRsaPWyXtUmc6uFRwClvPtaToQ+izNjURgLeNX2eIxBH/y8Q+SxzGpezep7lBY6/kZXjNLa85fyyqfrmvSZ2Sw13LvR+QjLVgFiFjNp6P5PKYQgm1Y258fGr8odw3Cq+fCts5FAl4ey5NUJBiL9fb1wGO5EChShlMy5cIjZ6disBxMn3t/SNIgLhqWHR8h4DkSWkUd/KnBl+n1hubmR00To6D7ZWJ3l6OzkxDKEm3uA1nZo9TKNpQkCTld5V3S6oebEcUafda77xLNOA08dhbiN2Nxuj2IhEd5ZxxK7hO2KKnRbeV8AvZj29T7dTZTaxSSroQ27QQUSrjiUvf2O3hqztddqUhKPbzO+RBy4dfls1fWuEg0QXH7wIgP2X5ZxFy1I98N3mrty687X3UuZ3P2OgCmg/xQXxKU9BR1hDQtGub31mWV7/8wgI0dJ93bWna6P59zEC9nmHvmo0HCeX2gZoFLj0/l+yBxzM1YVkmK038weceyIOOy4HvS69348s8Lm6of+ig6E/CwGtONWDfUtY+WPaOw0sWohfi0GX2qG9vv50hbi9ztxcPGi0OT3R4WcxpgguZt4EuBT5Myc5pvEK/k0IZzM0lKk2Xgqs4+feolRi5qiESwh9awRjgdrr6XWyGsL0qNAmn7h79NpqG6P1AD8TlPPQBXfWZKIyFFa4WJjb4CpgyE+4yMb7XpMnEuun5YI1dJQhMl6+Zg50t71BS29OBFzZB9LLJa75G+TiC/5E6pGtMVXwuV9x2ifWFBsuz5+NYDaQ+r6M4yY7zXzzsWX4joEoY5KsysiMmGyAZ/WVPCex2DFcdg/uzAUynxUzuBi2mR1f14cBToOtnHnZNC3XrpVkUXFATyAfWi3vDwamQZIe4J9svLsa97yr35Rv15PJAPHz8EuyMZznf0HD16l8SDJGn/kHuImku0YUdtxOpEX+qAlt8NpevfHGR0o3bWaVI4xdYMdZas9uxVkK2TKUJ0zdXTYEyqj2nZg0T6gCfTLRz3QnWEyrf6YfN3L5u0iYOqER5OKPYPF5OpRY5yrfTkFVP7qJc3rpDD0nyvbrWz86sY+Spb/mgVfLFYbMjGwK7d5BmT/1CxIJEIfLrSVBTDTSTvfkczn/j4DYChIi6TKF9ZZJXR2RQZJoUvdHWiPWB119IoPM3vr1S3KsZzWX1PYselkA/ZBcuJTztJUn14qm20yHGDD+qMcClyvnv59VNQYGde02ud3Q0VnSisUOV+1DGYoxD9ajGyfUu6iZCLfSjASLRMzO9pWOz91LGl3nbnpLdizHcamGt63jQ5aJw3FnXmMuRxOMZcg9e4qKV90NH0D2zGEoCUPUDnxp3quvcoKZMWd6zyPv6xxOMXzFzMz1XogvZSeEq6ZmtPKZ56wYWD+gvnympty3HIlZ8mnA+wd1EFfsTvLS44earVzCsLrJvnmVyZMbRWJMUKFHWFGKUXUBdLgQtJEAh0TePCWDXayFTXOpRhbFeIV9eD1SPe4wvFj2cnZk10ueWD9mKaqlRW34G1LAFT8AOvItOg3aFBqEQfvmkr9x5uimZta/vFlBGu+5eXKNcwo/I2h0AR5MzWnlYCu4Tpw8ju1rQ4wIp9aUG9lq1MdEQYtiZBBpncueCkxXdDHQmxF/nUf9njbhYtEhrLLnCuThiA2UbPZ+DRjf6pGzKRImQr3X1+nKlEuvHEZS/7zNyF3/PdG1z2cUor4YDQsfLRLmiUtamSNC0lMPUddmYzALUP4fcdEKNGm2zde2s3eAxyOWQKuYbPiMZKvvYLCIc7tG7stPio8wo/6bTW18s/ngrktP7xMkVfv69hk+OC4FgoQZg2qfZxcdBCcCCV9mIVPJyRUFiVy1r2vYGKdgnZUpf/1eSQ/cqzLUSH3cwiNgznCqtNuJf/lm15QXPcN83ubUpzLWLPJleiOoWOBtYuub/owgdENllMt5eIh2PPlO809Ko374icPDhXN+pkDYu5GvbM+BT2PeGGWjIC2rx+bWLjkG1J68w+u/hCpWteovktuW7BJuv9/khCFiWJEqwoCqwQNk5sAioQ7UqGtkfCZX/fPSutlDNZhre2lFxnEmFTwB0BS1EPjq8tQgiSSj2xVi4GXlw3YcZs1CBY6vBZraWWfihwh+ukQfNb0jR3o5wMhJdnBl46/nzjSpGuku4WbvKLXn/nAfKd3lELPzoD7jusbl3wZKXCtBn70EXCK8+A063cDRBzOOkXJR0YcoNrZ+io0iu30uEk6NOJeQB7UQ97WMf1+sSFK29l1MAJY/v8h8Iwmu7hwu0+50QTD8FDo6xS0iM2LbDXXXywodd4nRRcInbS8A3ML5gG6u6jx6s9eR51R/EuqCKD/T20fnqsJsyNQMfbe5tthsc8eiWbJ5U7p5mSFy7HMOcud7WP/e1bYHS4+GO9OSF1MFtepuUQi9LVMauMmltF7J3j9DHa0aJGLEMbTqs6vujyYUik7nOD3RIEy3Gao0r+4qTOdxyeJ/0VAdmRrvVvY1NuulPj5qwj80be9tenWAYoDHw9ubPXSIWeJIrTK7tDEG5Ae24UUa0p4TUMVqwYQLPl2m1Vd970WbD8EHM9UiFadXI7M03dxZH74ogn0bCthnr4eeYZkTTZl40SijjTswGoywFUwKJtGsunkuZNDF0MKsx9IUO5dmnZeka/iJXoYoWmxKl6vFUQSiBWlxgMVmEIohgUl43P/fLJCE9lXrsGAnfq+fLwR7vhx8ObFvIJ/UDrpVoYqXZeQprybOB8xR5wz1QuZXorINEu0/lo7Rk7wcwdx5swH1/h9xccl44SLspOTEZh+CIWnzq0FbVCm+xP9FhqRgPXuqRsrUTpVJI6k8QuSy9ihRa7rrE7c+YZp4clmaNf/JXz4svV02t0WVslkaXZR0Kf1sCNUZ40DuL2HwKnBjqaNcIZiIEPh2+9ticfFQjeVt/8msy7EAP1WHozwdArnYh3MnBIH8X2kkKLlLmP5gbLzEdFws62gBt08j8cA1fr3umLEWQE/7BP0PaS8iHch02HabazoKelpN1QH41POzTcrFX0VdLMrxMU1+r0Eq0hmqsxIxwTG2QmzUJNaTmR2WJSe+NFFJLALGXaxZevz69DKe2SJ6nulwx+1dXgi6T+jIjXwhvLzSxnMM1vEczFvvFI6uWzWd5KgtYquZDD0Q/0Vs1MSQVTRFbpoqR2bUaCIiI4ch4WYGgyttkDMppAKh8aB6hoE9UEe+Pn3hYHxR9ZDJvvkp2In0mPzPeVx7tWBpLdJd8wPw+NxHUqdtgdrNI6irGjkO9TKapi5JcSVjhRyiOmp68xeI78bJF3T3dZ1ny6FJRzg6gavOCU+w0Hb1xh6wKZv7s1mlY1O/bQa5Sbl/6SYxnnu+ggBYMUYY/luMRXwQEysyXruqyRlDHfy+WmFm+V+pN7gwXmY+zzgzeCK8emJVpyowNiMmu+0nyj+SshKUoWfzK8MZbOqm0i2N2UgJsJnPBRL/B5/ZfVF9x7GbJXljHup6R9xm2dDr3OQSwF9hSOjOtNK1nXEDeynNyRojJyQ//S3SFc7Y12+g8k5lk5/wPqiqwDCmVuZHN0cmVhbQplbmRvYmoKCjIwIDAgb2JqCjw8L1R5cGUvRm9udERlc2NyaXB0b3IvRm9udE5hbWUvVEZOSVVHK0NNTUkxMC9GbGFncyA0L0ZvbnRCQm94Wy0zMiAtMjUwIDEwNDggNzUwXS9Bc2NlbnQgNjk0L0NhcEhlaWdodCA2ODMvRGVzY2VudCAtMTk0L0l0YWxpY0FuZ2xlIC0xNC9TdGVtViA3Mi9YSGVpZ2h0IDQzMS9DaGFyU2V0KC9LL2NvbW1hL3gpL0ZvbnRGaWxlIDE5IDAgUj4+CmVuZG9iagoKMjEgMCBvYmoKPDwvTGVuZ3RoMSAxMzg2L0xlbmd0aDIgNjA3MS9MZW5ndGgzIDAvTGVuZ3RoIDcwMjYvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjajXQFVFTv9jaCSBiUEhIeGDpnKCnp7paGYRhgiBlghu5GQjqkGwQUFAQVpEFSOgWlJUQEpEH+Y9x7/7/7fWt935q1zpy997P3u/e7n+ewMGrr8cjYoKzhiigkhgfCCxYD5DQ0VEQAMFiAFwzmJ2Zh0UdgnOB/3cQshnA3NAKFFPtfADk3OBSD9clDMVicBgoJqLo7ARABACIsBrkvBgYD/GCw6L+AKDcxQB7qgbABNHgBVRQSjiZmkUO5eLsh7Owx2GP+9QqwwzgAiKjofe7f6YCMM9wNAYMiAQ0oxh7ujD0RBnUC9FAwBBzj/Y8S7BL2GIyLGB+fp6cnL9QZzYtys5Pk4AY8ERh7QBeOhrt5wG2AXwMDmlBn+J/JeIlZAH17BPqPXw9li/GEusEBrMMJAYMj0dgMd6QN3A3AHg7oqagDWi5w5B+w+h8AN/D3bgAIL+Tf5f5m/yqEQP5OhsJgKGcXKNIbgbQDbBFOcEBLUZ0X44XhBqBIm19AqBMahc2HekARTlBrLOB351BAUUYHgGIH/DseGuaGcMGgedEIp18j8v0qg71lBaSNHMrZGY7EoIl/9SePcIPDsNfuzfdns45IlCfS969hi0Da2P4awsbdhc8AiXB1h6vI/4VgXcT/8dnBMYAQWOS+gIgAAHcF4F4we75f5fW9XeC/g5BfbuwE/r4uKBfAFjsE3B9hC8f+EfuioR5wAOPmDvf3/d+Bf1rEEAhgg4BhAGu4HQJJ/J/qWDfc9o+NXb4bwgswBWO5BwHAv37/fjPH0ssGhXTy/g/89375VJQ0jdTkuf5M/O+YrCzKC/Dl4RcEePiFwAAEAgED97Ev/v8sow1F/G0D/J9cFaQtCsDif7eLvad/tezxlwHsf9XBAfyzmCYKS1s4wP4flpuBhcAw7APy/8313yn/N4r/qvL/Yvl/N6To7uT0O8z+O/5/hKHOCCfvvwAsa90xWAVooLA6QP439CH8j2o14DYId+f/jqpgoFglyCDtsGzmgQjyggX/+BFoRYQX3EYbgYHZ/+HMH7/BL605IZBwbRQa8evjgs0Cg/8rhhUYzBH7AUFjifknBEVj1Yb5vcZfNhyrp3/2oYCEoWx+CY9fSBiAurlBvYmxq8daQoAvBKtQG7jXb2oDfLxIFAabAmBn9gdsUW7Ev9YM4QcDfF6/fMT/qAtzd3PDHvybDthD/2X/Vjcc7gWHEc9MomDiYQ4vw5qOa2RoPXlWP0jg72QcG/HzfCi2IMR0KYxaLibp5WTPqlUoznRCFC0cWjRlXY9zP03t+67U3qvzFjzkuae4bnfPOmHy8vDKeLLvER3TJMlrnIKHabIMYmVuXTja9DGkrURSNnZdeiwkfmwvO6aTPVlvlyveVw1v0mxurSnPVqekEzX8uqSLeWPdo78q9IOaLW/JOT50OdbsUbpmJpOaRPMJcZJnNenC+76eObJO+raYYFWPkNXvzBEYMgXxHjp5QYJqw7nCW+d5ZR5bmeS+1koUcpR6GgWMutTEPXKFKW92qM3OQQRGDtmP7JOJt6hJ3hVmfimxRwWlnwgItYeKpOeNM0XaRfvaSMwr6gY1v5mK7BulOprBX+hbcbreOtzIng3ys68q3wsM6JfRi3HIeA4z4eF9mA+fpCjoJOf0hIGvH71RgqRLeOV2Fe9lNIeLGdgDRyIPdM6E1dP3vK0YPOnKr8WT8NC6qziukcl45LXFucfpxS4OIiIKhLXL6QgN7WPo7ixH/qggZ3g0uUwjxqowxTYpw14WKTJb7lutGZ0Y0HVjnODgGcNt0XvoWw+Uc23oXX2tl6TvLZMbB+XhDIDc4AvJCoTxx/eYOX2QEzxVHY3TbjykSFCppOZUeM76I3QU27dgVnwjkf1Gehwy6h/nH3FrXh4KvC3ISH/N19Ji9UKOLEHg/g9DJ6a+oNmNhMMTa/yKCSpNuDa9tFojgSEsVzdMRN5eRLRi6+ygMN/FZzk/U30nSzEn0HxiJaOpydmU1vj8sGD9ZKLOvCPlCNg/jLbcsze0mlKBbKserlwMzlSUckp0uuT5ekgd3TCja1RqSTc/3tjIlpQHiGgwg9cNSkE/d0QGqUK5n8+ewd8VrivxAByTELlLQdC66NJEvWxAekXKunyMijXhz4NrlteFuR8/EJ+LQXEPax6oaGQ7JFieexiicFZZesjsC8p6dBBXgDdZQkYSn7orqpySwZnqtKFhnUT9h2RvP+0k3V7Cl4AmvTnTFsuqO7OWzsV1BuGwHVMt78/ZDtXFPGOCrxwIMXLsIagp0u6qimV/F/BkJv1Ef1pyCx2Zura2+eUWi19x0I/ckVdPJipYLm9maZEyVX/1NPR8CVZ98jPHjNBytkahaZG2/pvtXlg3iTYZ0QaoTwfj2trgLgkDczH3wfLEticEQQMCulz2AVe8rwgIvXh+sSTIrxb2tD607tB5dXP+oQ8vbaHdKqNDnMzVuwV+Y0Mej0XT4WRXXQ/757u9FU1d22dIutvTcZ0cwok3DlfLcJKz1+jiORxGn5Si8SSdympoy9P4X1bYfRnJwHfRX2uRJtTg8zVttP6mBtF8mHvxjp721GIKQxEkX0bfy/xxT3yxM5ab+yL82Wa9rLGOkEDGNf9WnfvNaF2gsd9PkB7a+SbmjKE66oHI1FNIar7xTkgdwLYn7jQpAKJ3UXt0Nwtv5K4NiuJRPMBP79um3S01Oed40ncR94pUzb3TgAV39k55YKOQtOWQLDSDcwd/3NcgqSk+K5Sc5/3reVylwohKSJs67SMhg1ZF8MbZaJjkpoYu1Y0rUyTDEA4b19wjKLfEVMg93bTU0XbZMuPAGcuCl2n5DW/GjyHihYZPex/eOeU0N3oqdXZT6oiQCUfN5HVUaASOg7SOCFso/FMjZsmo8VXw+muJOcpb0ydvt1Id10h9D3vRPCa4eQXOrq7hbp0q5M7z4644GD5RaF6E5u2Ya3Ywkx3KccVI2+f08n5O5ZvqCcYnbbIOR3bPTsNrssr8raq/hyxn19gzU2WuMWfG6yt38ZCzSXTYWSoa+Yg5rxwNHJ21gOJNc2jEGgKIH5iVKxyuHIxVWr8nwCch2JqpWPSkma977L1fcMEy/ITR17YiIJjd866Bv0Z3mPA5IYXsvSdg3NnC7a2uTzWshah+jRpZsAKOJw5VlZfyY0tqFj6phsmOGJjQ1V6vPdVTvJFBlWH9C/GAFHFWMrPTRHYijWs+c4567FFXTl5HqxaNQCwMHFas1+Ghwvwh9FzVYlKv929W9wiwXq7wfFd4Z7THZ9p0UeTRluXTIK222xxrC9psvAgk+DHHhVZMEB/wB5er6eRVm1G3zBWakGbTMg7IBawLshwFffx8SUq3oEh6eab0bIRU85x/865BdHCSaIhKwrjslyB6IeE90PJZ1SeQySchVia2iMPZan+y8Da7KtMvXwJuBS/WNi4p43H4b+uNhU5ub4/TenMWdqsDEm16vcM9dH4cVkFdTkqLRtMnvSsvD/fq8nj92/h875oXJ0w6UT+vJ6IaKSNjomTW8VAYHTN8R7fQbZwn3b/djvvFn46LRfRk7MKADLxH0/3506UGjKhjqbMx7B3E4qL6xhTZuE0lnTG1H1to8klopcT5D2OyPEoFUq1iCRke5qsvE9h652PbSLXMKMtPmmVV5K6uhATW+HnGiizWGmSNtebvF+tKv5Dmlc3zL79aEitcGBocwt9XpB+mVd71kzaEpmH3pvlakqHme5kVVpXxAX5dyP7Z9PW42Xnp8laCftk8Gqapr3JJliHZVHb58+5yoe8fJhnZK3dFV6nzbi+x6MPcAujQPaZymSq6A9QN0XV9bJNG0zYfhJ+zpVnsScbgJh4m6i60uhtOeYH2siW9nWPeTmaxLlw78Hp7LW8nJgU/IZvhB6F3foTjSX3z5bijl/LofQHLmK3pRxOvLMAFJiEJekMs82mzlQ/SHa55CRk9NJbPLlwnYIw6eC3BHnwCn7TvEI57VPTKviG/fkq2/kya4A5NZP4av9Zmr+4ddsYNarXbnDVz1QyPLzJep2A6+iy+EEzf2t1mEmcEc9L2EV/DwSjVnhE3X1I5VYuoGpMk+CXN3iN+WymkJhoTFk+/M0E+t7vnnE1gPPb0/QDyNqDYcyTJI8VRz9RTdq1B1DDl/TW6Mc7SOE+Hm+MU/XbH/bOpNGmxqGz11TYW4wBcE43+izZA7GZJbl3C64Ebjd1fWnGA8KHvR+8KYm/nrjcxajM2DznFQcC+im2YTTajzeLcxMYvaridChp4UyKji6uYg8n+KPZznDwdgXuOJuXXiTKiPmVtFgi+zBtGWIpSDjGwehdFofucZMb70gU4o5Zwpb0cuaVx/bxaV+b48sNmRsb60qY4tCYlZMLbaciMfhhOGMZeFQuPcDJ3aBd00nUkPyXxCnZNyC0227ggdeKaCtWibTqVUkwxbsWFPhz8puwcmrNZ8NLMKXeS6L4k7CnnmTxcoYTBj8j2vCb/ipLHLWEKM/ywyOFbbQYiW0zvOnOGGZwhB4HQdfCF/Ud4vEyDrVzPBBdu9k5hgtDC1/73QgT5qI0OzeY0T/JBixjH7CYxis9KN88k9PRAyp4FHsLvifvfE7x8WwdAIgmDr8fuNMUpXd+Fz4MGQ7a4AZV77ZYDiT/HrauF2/CpuxguHk7h3sxttg5X67iTveJYefoj9AcoMvwVOfHZFczJ4sDO2oJV7fTFEcMpBfpxfZkt76PKdgLkV3tYVf9leSFyX0EozkQwHsRMcO4vwNZa2vCsU+NDU2lAxF4Rrt34ISwnQ2e9vG7DlHcxQYyXiaYqrLG2xIuYLtrRpPnHi4VpFhYcCktFF9Uy7QcVeG96nCpJIueCF7bYZrtpbBLJuD6b1oaXXVSEionv43T1S2m99RFau31EqjXMgVam7r6hM+xCuXrtp8VRZwPyg3otI05JgQ11mw+dRIrAvfbH07D7od+bv7DcIpbTM320O1OJpJHfItqLOeO/P83KX8Xkoy/q5/BCvb/+iwul+anu7Ish6gIl9U8veGNEhp1Nkr9bXkTKNPjz+Mzt3YyftdkRF/fCSv6JS/r7PXEgYDJDYnToK0vLUoSbF+90s2gp17x+cOVl+dfSWV+ZbhxBmiOfOI48WCq0JDBCHXBgEXuLxx1pI1WOg+KZysBXQfbe8xZhMnZFTjJdEn4ePj5uoJUfnkw9btTQmXC41RR52U3twPs47TT7UDo7NdFf5/vP91zOeYr3RCfkJwr6n35/vkJ0M84Jv7CFkvHp7KqxXu1FBFITr2QlJHZtKQ0E8WTmFa5T8coiwxuwvhc0INYv3zs9Evb0QdMm26UO5fbXCBjhJKe+pWMg/2fMZs0svIbFL9BBOayYyTsRPgPmThQaeVh284i3f//EYCDnND47UiLO7FapmuB6V6/K3u0rhmZJBkX4AQGVRtFUl7sijG2HAnGdxa1Hz4piROXcWdoDNIM6eurZddaZfBhPbRcPl0rekKED5VtVmmlGcwDQu5LUXT6yipm+MZNC9IQcsc2dA9CbE6+xvLufNIaXm5N5Q8UbkrkCiBxvkHpX+6xqdX4g+fDR4wV4GWJ7YjLBozhsqb2gVvKoV10NkA5hNmi/pvRGlXE+VwOv9Shu7UbxrTKqhbIDd7a3H5wrzq6s2uEa19Hxbrj3Fmnc9aA3iS39WmI7wKp5NtcXplR77I2DK70xJyV/tmsYUJRDw4Kqdi3+liZIhe779GRMJ+10dVjao/l9DLML4/gzKr0QEdTpaCpLHb8U9LPDGM/kIm6AmH3Kk8wTyCBFg6BafxGr/Bf3oI/j9EsEqbg0etHGC6QLJPa+U7nhQywte16J5qEeiZwSKXADOVfprljWjWU53jM25MPi0Lt7hpJmVGdgKAiHNvdmVEs0zTd/c6/zEA9d2wYOTBFpEVr9w3rx2bwcOifO8qF0IKhz/VXBfYRWWnNLn1HZzEIKhtWXIMgaMVrY2GiMNGxzvfo6ZCB/gdEolCbeFLU9eLXI89zyG8BUKb2wMkJhPkKSryqYH7k56qan8GLwBhfOc+5X5OC0QdGq0jT5hz8VXzJFRMpdDkoj5tZMx9OJpPG2A0SCU+4eemE8EnIreKMpbA1qmW9et/Dq9HXewKm1ingcfXoPtB5s8nGVe3D3Qufsp+7L/GdDs/VXu28+CooieQ7ksAQzhOn1wLbBi41KhYVrvLNja+IfHxx9S9msETlEe2+11LPtm5iTynjV9nmaTG460Cq9ytVS6Y64H13KPSC0ilo7fPq55UW7xKijdCkLWsXMykpGJZDwhSJPqvIW7jIFnbVV1eIWMmjkVARM3lyyy/JR502chUvWUHenewjaPKVWTzCLr5aWaibevUWOYKN2X5Ar5lrsbT2TINfvLlYjz2mKvgdHO8k/X0gZfQIW5NH1nGMGp4pdkE9vtt8Z/Qka8vneFs1NraQ+qE5I6ElwPlqQqWYxqTn8+LLCejeVY6Elfl0nA5XaJ/Tyx7JBYM79kLXlS9L+KM4hGaVywXaIW4Lz443Lm9uD2Q+shj+Gqkjsk3IaPnvA3i9SeAziOuZa9b6/IYWUGmaRlwlClyg9+5QhLpB7Z/GnEJ4Fp0NPtvLWiUE0hAAHydDFl0Fa44lba6VXn5VkVyFNC61iQ4/SKXs0eREprHU0zVpwpL51Cbk6Gj+2n/29nIP5NL22i55qw8SjQFH2rfotpXQRD/7KFhBUyIj4y9B7wdmw3B+ixzaavdICWWaiDzG58ZnVk/rqR2SB31nEtlcoR7Oop4uGx43wRA/IeMzjfVktT9Ygd63v+/uwRlSCBM1t797uvSvEXuMk8fTGtUHiVnlWHnOKmiv5Y+IvErW6MnSF95qTh36kb8qiIsSLkjKA0LTHLOS80CuCfI1tPKY+ey6WNum1S3rvV/hXPztC32k/RnH4QP0jJANnv4RlOCrtTAfIZwi17AqNoyRxpc1lVJqdLUfrk6uIdjq/0VUXV6gW14SgvkZbXO1Ncm4YimBAxTTHSLjsEASrPpR+83wAh6UrfX4+1xEHddtdP2JlbiwuiBb/IAwxd6NSga+nLvr16sFzQQfkapROC6bz3bSW4rkkSJhM20DmCpPRzGbW64GzqDk+WYuTNna8+NhU6VtIZlD0KAnVjnLbp/n14hQw4XJdo23bpBv35IoNDsNi3N7AHNOLsK0d13fHXBnoc6nryOJy8ncBsT0n8klkGeqx1XtEPklyM8Cz7JizpaTHsd7lcgr9P3dVPxdOD3tVjlZnqqKPshjL9tbP2YfpU8czJJdm7dDmRx9E6K3Es8ivjT+jNMR58Ho+3t7xZXhOcrw+gerxoZEGOWeqyIDFjM8WDP4kjvzlSLgCR4Vu6o0WxnThq12e9bsF4Uu792izxgXSyN6xsQkzoXubnTdC6VWsHoBhLHbDXqehtt+pEvnZ7SDbpD/x13RYqe6AyH5mukRpxdbv43kYS+cr01yOWycGnk1EKZke7TCPZJqpC/UVpt3+cDp7NoETRWxbgsvXTiJMpnV46J2SOPIoVH95QDTDL+7MXGsS/71VisOzjZlaCClXVGTmwzuhbDalmpnLMx3ssWVOn7sgFc9le2flqS3MF4uafAj3uNrUBWsg6RGF5DpPDMhdiWMZKg5uK2Umy1IzNF3enEs2lGEr+KZ3UHbuOkaWesPBY/W4LZTjMWUtueC3mt1bY7eGY5porsP9JugQXS20TlbuZKF8MWsp+KhGd0nL6Vp9XA4LPfwRHoZwpKf/Bff1KBPN1wp3huWu/Kg+um58PU4XH/7Kp3388LtA0zG6nt4laPi0i/nGtwv+8EFdZSkqXqDAJbw0D9TGpUnaTpV+Og+X1N4rcqP+uK/Sw+JNvXUifRXnKZKnsqbkeeeSnuCLmfb6cd+GD5NxJcbfTampOrS+2YeVKDz9jIjN2zAjo+Ekl/V6hCs3OfwE9HSAPWAU9KC77e5Q4s2D5I5uI7OynknvBZ0P9UIbXyssL1xYdYXaH+mpTloAmR9WxhvcfqQatay5T9FEFz7+dDM7aTmnkCOXvDsFUsUtW3b/G4lS2AutCfn3JArA6gfH5g/9ZrUDWuE9ZXvGNLHSx/bIjFQxzt2ytbpoaR2pzNTQV9oK1PJBevtm1TGnTzeB+en8lbySmrBquVrq0/3wfQ17HZ3kvFEvjaH0J/Ie0+YbsY35U4enz0dLKxdVKzjf6C8VguaY9kftP9KGT+0iHloKUfQ9Sb1LDVUb1C+vuLvPPAWKxIl8w4u/+Q0I7k7/ft0YD4rv/CWo4wFuwpDt3sMlUCclRfwGptuB1ccpXGXBSJoGkxXc9fn1Qn1K4N3gGs7TnW/vcNkkrdza+YwY6DNJXxmyb+OhURV44Uph7bolOOG7rYQTcLa69qXT/GLu3AxX4cdwseuUQk4LZz9HtL+9ax+4xZp6/9EJ353n2TQvMw+/Eiske3EaZ5ETHO2UM0+vtnfNl7Yuxo0VluZv5+5/C6yI2IGkCF32UGebSd4pHTu0rwGtQUYUB+LMcq1knjkSvNeTcnitvJQ2Lcald0O+QcycS7lEv0uI6nZ7jO2dRDPDeDGzPrtnB+CenedPl4AUldGXGH/ijjqUfIcjyR76UpJrvJeSoVN++kJk7lTos3+q02Lsdoget/ROoRlv26FR/qf5nk2xjSFx8qjM+sHrn/xBRD7p4jZSD9Y33IxkSbIKu7Xd82AO1p8fdK/MBjPHZdxQ4IZFZ/In+HZXbr3nWWuA0HCPDmCyDfAdqgQE0dvVYdchC0GQj/bOOs9mj3cFW7rKo/U6vdRzWofJ1GNUInXSejQuMgntw7qfUVRNlCemG9HoZ0cIsAs8R1VORUSDe4uSc4hai/feUpRQPpolM37B9iC9MNGuDtZm8eyNv2hA1goF2V7FgcM9HCOLJL8E5TLBiuPYF7GXmHOiBGm9acOwbbw7wc5LKvkDgoNcWqA6hnVCrbDl7lpPrvvX17cGYzSa5+NzjEKr8IzdFSgGxcMrxSkaRY8Dr6TgVr9djf4oJZNuSk4pMXk2ocI+wcOt42E6eqcK1z0zYlB6MOId9aFhb1keYhkpQT+v4Yy54z/X9Sj/K692Fp3tu5One/pDaX6D0QGw5nPzOxG3hqupheMeB0nfvKfqn+PmGci99MJuPwPHnkYDaWqazEWy49bpSuE3IFMhHUjdXzCj0GGPKn6su882Y6WzdHrAu7ZSiTgS8fuchPv+qUAsT3gVNdebjNsaOdrO/AYdVKrzzE/bmWMvHoCmPw8ysT64VRlzbtb+Y5rt3cvO6l4RnpgrBfHULBBlCtIFfFEy+8vtgY9aeUxRE2cJdFr4SbuSfcVk6TgKr4AlNVirPg4hh57+eddUuBh1G6cz8/fS68OBP7IjZf4HSKeX6QplbmRzdHJlYW0KZW5kb2JqCgoyMiAwIG9iago8PC9UeXBlL0ZvbnREZXNjcmlwdG9yL0ZvbnROYW1lL0lHTlhLRCtDTU1JOC9GbGFncyA0L0ZvbnRCQm94Wy0yNCAtMjUwIDExMTAgNzUwXS9Bc2NlbnQgNjk0L0NhcEhlaWdodCA2ODMvRGVzY2VudCAtMTk0L0l0YWxpY0FuZ2xlIC0xNC9TdGVtViA3OC9YSGVpZ2h0IDQzMS9DaGFyU2V0KC94KS9Gb250RmlsZSAyMSAwIFI+PgplbmRvYmoKCjIzIDAgb2JqCjw8L0xlbmd0aDEgMTYwOS9MZW5ndGgyIDEwMjkyL0xlbmd0aDMgMC9MZW5ndGggMTEzNzEvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjajbcFUJzNEi6MBydocBaCBl3c3d3dFlhgCSy2uEOQoEFCILgFdw/ukOAQ3IKH4O5cPjnnO+f8f9W9tVXvTj8tM9399FQNHbW6FquElaMFWNYRCmMFsnEIAqRUNIEcAA4OLjYODk50OjptCMwe/DeMTqcLdnGFOEIF/8NAygUMgj1j0iDYs52KIxSg6GYPAHIBgLyCQD5BDg4AJweHwL8MHV0EAdIgd4gVQIUNoOgIBbui00k5Onm5QGxsYc/b/GsJYLRkAgAFBPhY/nQHSDiAXSCWIChABQSzBTs872gJsgdoOVpCwDCv/wrBKGwLgzkJsrN7eHiwgRxc2RxdbESZWAAeEJgtQBPsCnZxB1sB/kgYoApyAP+VGRs6HUDbFuL6F67laA3zALmAAc+APcQSDHV99nCDWoFdAM+bA7QUlAFqTmDoX8bKfxmwAP6uDQDIBvx3uL+9/wgEgf7pDLK0dHRwAkG9IFAbgDXEHgxQk1Vmg3nCWAAgqNUfhiB7V8dnf5A7CGIPsng2+PPkIICshAYA9Jzg3+m5WrpAnGCubK4Q+z9SZP8jzHOVZaBWUo4ODmAozBX9j/NJQ1zAls9l92L/q7NvoY4eUJ+/BWsI1Mr6jySs3JzYdaAQZzewgvTfJs8Q+j+YDRgG4OHg4OAT4AKAnQFgT0tb9j/Ca3s5gf9UAv+AnzPw83FydAJYPycB9oNYg5//0H1cQe5gAMzFDezn85+K/5bQgUCAFcQSBrAA20Cg6P9Ef4bB1n/Jz813gXgCjDieuQcEcPzx+/fK5JleVo5Qe69/zP/sL7uehLShtBbzXxn/Wycp6egJ8GHl5gCwcvJwAIB/kIzveeH332HUQZC/j/EfvgpQa0eAwF+nfS7Tv07s/jcBGP8eDibAf8dSdXxmLRjA+A/JjTl4OCyfP8D/Z6r/6fL/x/A/ovzfSP6/B5J1s7f/U834p/7/owY5QOy9/jZ4Jq0b7HkAVByfxwD6v6Z64L+GVgVsBXFz+F+tAgz0PAgSUBv7f5cR4ioL8QRbqUNglrZ/seUvXOePKbOHQMHqjq6QP64VAOtza/5H9zxalm+frw7XZ0r+qQI/T85/bykDtXS0+mPEOHl4ASAXF5AX+nOTnyUegA/weRatwJ5/khjAzgZ1hD27AJ7T8wNYO7qg/9FRDgC7HMjBAfQH+icgwA1gt4S4WLo5WNs/u/4L5gUC2MHObs/9+RcC5OAEsFv/h8gDYIf8Iz5TkB36b5FbAMD+fAf+h/rZ2ekf9bOx0/M9BLUHW8P+QYF/o39x6B/f551c/y0+c4odZusC/if4c63YYR6O/+HAB2B3+ycsP4DdG+zyl/6/imnp5vK8G+xPuj9X+l/yn5cXGOwJtkSfn3G0FHpnV/Ou9bpKgsyDdWtUZIpuSy+FidVn3qXN7Rb7xUemyvTgVZdLiY9D3S+XNmQYL8QXqB58fjfXvQj/mqjRcud7bxavObHVgj43TtQ/lv9boraPAo2cVVt82/fB2Vc36C1iM3yHIl22sxs/tnou/rVHr5xnbV/J4nDYzJbGdiWvEsZ9ySRrjE60cVDhNF2ORcYPYhoUGCsF6hu8Y0+c6YvLKbyssScqxXhmdL/9GK4CH8M1ztibH97LZdqcrp0ktCSGxBSIF3jDE/Q+krvJiq9mfYoKlvrnPJuFC6iysFg+LbG+ZNvlTKuEaEZBG3uq3Yfn24Gb2R8B7xjI+vE3E6uLGwnMXGjUCCtbzKLwYdVcb8EUu+3Wksutl7pd1nafyBcEJmufANNYBra/A5u6fO7qnJeHvvWzXoV9+no91Phto8tPr1CsT4zcxgP4RsbWKHJpUTCN4hNyCWwEoVMPrEDwkmXB/SP/PTIoVNgn+ETylhS4ns/BYciP3AM/TH7Ik+17EutXXn+s2r42jTtr74FnEvIUwqv6ZNHx6fg4n8SWS8Y8PYwxJ02m633OShyDhlANuH46pIT9eK2ciE262ItKOWGdZ+5kgLaAW0GuZ2u2YijSONjL7kYgj+1Qt1yn5QNPngb15n4U68hufdCgZEhor8Cl1e76ZWmppCnhL0fdm+NyjwjJodif2nzvct63awZmdbqqpcpJRCF8udr40YNm8fpAW9Kd2qExDkdPW+R2Y6Tzy70HS4mCNB1DwbxKn9Iv4XDfeZM56YIekqpAcaL3F42BnDVtateMcJjpL5dj6dK3FxFfm7UNNeqePJJKkmlpX+e+9l6D65mdHNmg/j6xQetjX25cyN3bBBDiiU5FtI+np57dCPx8tirCGB35aB3ZtKLjIVG3QF6dNt0PXt0fHEaSfP2ijYuDQHR0Xx6QX8yQvqJcwEzwNJOYabfunSF+SxXXJFLhalyzQnAhHFoqYtxpAE+7Ki0WobOHNr59z/sxa9JTLkcDOlBK9jmSZBNSSTeTlEk9O4GuzAn3qtoo8zPu+UZBABN1tHWofjCq5S5uFCrchvAPBoLBmrjkE018dS6ZHOp3rILVuAy4a4/jEtiKOJVsyPO9NVKKo3CKsBI4+h4fPpQPvNXor4N0x3vGO3//mJH/QZZ4FsVe/A1bdtbGg0aWJynO40Qrgta38inIUUN4dGf0EwbGhLl/g3AGJZCj2Bc19Um45ZfDUV3jzVz6ypDt8Ur2u9XyX4Go9fVVVWliQyTmYmd8yb+JMMyGs5GNPraf8XuqC3MDf1CcicDGruXhFnCwhHhTm5v8XJTcgL+47j7rSMEhQz4T1cnDymsmpvwuvYgpZx79LSnpjFedjwKNv37d5lbjdqc2SjO7UviaW3VUW3lP2L9tGUXKsUpReqqieKOSZcBRNhzn7sO7Spw0Y3zdA0BwyXIe+kzDRSJyhZiUoT1poMS2pES8N8TUxfJK7puSDyhCylBSLrMNnZLCa5ERO1KJIayHU41jSvdTBa+COi2t/d2v27Im1sRXa0adxL+nwSNDUdcDpKgkSsOz9Jx0NkkWld7hV4rDJKksbo7+KmWcvcTeK24Jqdnh07xvPre8+YLV141VOvEk0DFatCrWm6eURGTJRPx97Oqn8bFNFqycXqx4I3as9/wOiqL926MtcbuVNttK1ViqKS1/dEHtcmZMvECP05Nql9+ZWtlqsmKDzPG3/yZQlz16UFJEvPr89oCaI6HLIMfR+4b24Gb8aiCQrre8Y2KI0OPnyk9OE8eSnlVAhdmDmILtdxy33RxJh0NZlFeC9UBs1LlkK9TiQS/eq+DOhRUAhSxW0TtiZSiP1qkHfTHr76mqykw57+sigT1ikUGGhE3G4YdWhXtb1du6GZ9NNTwAdgoQUdnd8ocDITKk/ksn/SCNyv6eQ694o96PsHLi/HKHJQs6jvkU5De35p9/v+jNSVxNZLe+6Mmwb6NTl+HMEaTUlWDSklRm3xYuITrkwS+RypTIW73KsBeq8PneicH4+uucPjJUFiWBBjUKLgXuHb+P5pxjAm5Xr/Yrxk0zvWMEC4nHACVfRxUMM/yZqU96uKuP5PFtWF6bKrtPvIGl2dWmbVcgWCYVqrga8HcOewac7AlVUgOXF+Xr1A1LHBWV2XG5PsOHZSNEh7Knr95j0bIBKGh49iU3pTTdiqIVYKQ5Xck4PUlyvx1dpg9IS1qDixASlpyjoJXCI008oiaigrYW2ZgBxJI29Qy23TZlpIlAz2ukL8RmRqP6uhG4rwbOzjWyK7G01Z8u3EOyb9DB31gSnB4XSENcAmwTb5sS3YhOPryLNme29yFFvQJrXM18MBO3fsXLRSq/qg5yn/Am0RkhNKvKGiHoNywFUr4p2RyIwauMU2EesHAKDBPyWS4ZRgsq1+Ai2tXVFZrLaR2JmMLGwqtQY1PLXIOwtPLzl85Qhuz3hIXaZIkYi6yJ08iu3SrJXmvnWNylxLfrBsXaM9rbVHRlLFhMlscsUzftlvxI/vHd+OfDDYhbA/iqatgfUCqw7qxb0FQ4XABIcDV9e5DrahWbBsX2ju9CfVGet5MvOEOunOlNYhKLe1zighFZkFsS4q4q3R6lIscnQKugDHmkT5SYsyH7CbXn9YIPV0SLk1WrPxVWQtv6rT6SrxYrIUH8zT0sMWBl0j6Xfqf+2mBrto5hfhROb2F8K4S+M5cjSAnwSEL4mR2CBpmfdEOzyCTtlkLnH+j1lpAv+JHFBY/uxXZqlO3ZvL4MA0q4lZdkYDpJjLEZcedpzXFaeCQxWwJgxfmHqmBSYlty6eGaZYw+mlRqSv/NUiFmPifjfA9PEjyDdTl002UemYqRpd1EQjzyLLOl5mS5+qufx78CGSklMO0b8ScOgeZL/G5sZ27MhxvzNLdnokLHLAHeQ3UTdOiOLZWr2Z6IgxwprsG4M4MkeHpAWc+xw+ndT6sAm0eH+Jh6T12vi/oF3IkMGpPX3v7Enwqd3E+7sDIowuJTL+f6ithcJAXe0xJCmwykyqWAt72wEivx11dF/HDjb1XDp6OUquCzp4TyOvemE+2DZG8ZUTDmolXPIr/AC639LLB6LOu+O4BPKH95v/qmNVK4/0vOx40+/Hf4JYiunV8EhOvl4rCkZMxDdX/l2q61DfXSEWokjsoWOKq39a5P4IYE0JZ8aKOZ4OJqvVIXmBXYN4xxFQiHZzDfKKfE2ndZ0LsRVE0q2B90nboYSGqkEkexDsFMN6XQWw6l5+T2wCu298bYpp3m1DvCr/FYDu3fVxOweMrbolH7koX/bUSv540snsky+xdzr5JojWq0iKEkY42P3WSyb0qWINpEJzG7pqqASyuzPBXzkPwwLTrtWtWvSnxxlajMmqkz+0YuBWn3gwYXffgHBs5gv9bqOXLMgqirOYNw9dtz9FFZeB2Z3P2zx+jjKaWQzh848tEMNfWi8IYa4qM4CvNrMLq8zafk9E6jIia+Xvr2+2zbUWgGZjXJLwOG6UVQd4N2zwmDvkvA9GoqO9QM+hFRUTmHCAOVMVkcvWYn+/v4Z/TyelUKHyXZ+tXFY9O3aRYr3dA9f6IDc+XKPBPURVC+Tg58c5/PfQSe+/qR8urS1+1c7sRzYAptAL6Lg8TToetHgu7+s1Oo4Srim9QWkeKrb64Xx45pBBbiPvFeMxio1FJSVFE+ryxR2fQCDBv2jyi3OV5BMdYsnEJtXNVTrGhZJ4wvK0en0+iVhZ06kPCacOzxMX2b/dPq+Hdv2YZ6kxuYrUcHvL2K3EOofprVSHpXfAvPCjvnFHOfbkVFQdg7a72YDe/RhwflUfOT/Mh3QE9eDCe28ZinfoGOes23JYtmIO6lZeJ/EpqFkFp+Y+8oOfOrLBGNKjnDnZrjZrcxUjYpGHN59fawWGYVZBQRbH2t7skdKB+aTei790Lvvk5oUY5yhuClAT4Nl+Q5z/zZ/fb1T3ljmqlSI5RrYPJo6oElj+q1QImTKCefYovkw1m9KzviYWSDDeN5sSehBgs2TNSoYp1/JFHOta8pSJBKk1bAhJeAPuLWwauCCVJPEuk+9Muu+1KvKEq5V1PSlEJTEmTf8duz1ix71iBDsIZHpbASaXX7cJHgKPIFfmxLOU49WUDRHbtdfuha33wOtd+KedLhb2l6PfLAwZLNGQ39ZloU+dXCHZxhmEJ+eStawOAPtnkD8hPxOShhqUvyS7PzfehSUDcqVrva/QZMQhWZVRkLmhz1SQzZbIXI1Cx00YYgod4/k6g/TijGnLJq/KBISTJ85ZgX3NvQtURVGd+ELpq0a9+h4RQfRlqaGzDF1BnWkHFTX3DKHiP0QouEAdO0+UJwE4akWG0nvkfgWVobIsPIIfdNaPQr4aKGM0Js8UDSW22G5uPMl0KZwh+cyaBzm25BMHtlKWCifi+AZ4T0E7pz/Gyv82RBkNhm1Lg3UEqLuZM8Tx3Y408JHkLQ4hzB4CpVTFZZ+Pbuoz3jyVQ9LSrlV/CQxha7g5MqjxIfvN4DONKXqWdxbgUUKZ9cvmbYPFXJ7Raj49fR17vTc16EQqADmKD+nmzwcX8P7oZ6Gl4Bddpgq2gqi0SJbteyQKayaZ/yLk1Ecn5YwYQsUAsFeAV4fTb1FdcWe9hII0zZtsSAdSvYX8vl0QvEA1BRN5Ar/jEuRCmAFENuglQ88coAjigqVJwnMGF5dYKRFP06PV4UI6MnpHFIWt4uPPflhiuhC2Gw51Iy+jZbt+jC+ExlZc7Y208VC/a9QvTJla+FdxY+V52CPzBZT2zKeqeZNw40iuVuKFjCiWvJ0ycLPyG3Jhwigd2hcPz4QRmyweTGG7rVJVx9Z6ByCWovr9YNwZMpZoJMS+o8z2Pk5GCLMZXHmfc/2a39uFaT035//zKwQSNXnIxbvsNgreI68WKaSl9P58Hv/rK+scmgtz7GFCNwepbObmSAWr79KEpN/gl1aCSWyuymIUpoN7xm9DQgfl2xyT0HuybIZOk1Ou38ixKcRQYpW7EgnlThd1rEDxQtB9+ruk7EE8uJM9A+g8rqAlkJUiUCLCPDftk76sHXqTCexqG4wDUWvl40nx2HGvjYLZpz+dojuFNUmH9lULDPfghYq6beqrvPuZhS7/6275OUiyJTmXIkMuoE2jXFCJqz/a32FtE8o/EwbcPp+haznN/Na4nW5TR5+eyjG7q1n6VzDzNPl5c/9cOyyY+MW7Lrzn1sHZZy+HZYNtM2RFD+NLtdLbR3kbHCDKwW9ItCVrf90XkchUi0zG13rZdVTjDi50mvd0hmaJq8oTFdnM6B+1wnHCXWuPeGKfHad8kYL7pAVe31pgYuEeIK/d9rYq0OBIoJ10SsU1zvriggG7Py4ksfgqzHQh7eNmmy/U67eHBnCBxwYMNjGNHa6JZuGZ6397qnIuZLJMrFNLiYkaot73P4VW/aUCnnxmMml/biun4e+OUOB8YePY3xuBYzvH6Mvsb9vhpYDo0wu5MW9XNCYd62LrERsKWluC3qgzcRP1K5MZ8znWyWU7oU4ilFyfcY+N2CtKng4nwkUcRlLRG8aoALcSsL7F7e7Dltmzjan8QzcHn5i0L64lIwLmbBivKFZgHiMiBRAoaL+Zu15AMLAdP6V1BJ/tBX2/UxAaPpQrcnVK0dYgGlBJJ3uL3aSsUgfdpND5uhxAa1EKN1BM8oMueBkDwvJAXG5KdWu5c8yoUlCp2W9X6+tpSdtPHe0uv4OmPdHzxaDGKY2x7KDAVHj3Z6x/L70oEdp/X2AfPgTrIBeHO3a3EEUl+ksn0qwpmliN26z/2mC7xkh+yZXhN35qDjHLwvg1iRRpWjkS/NJ9uHZTLzuj1Iu5D3QZRkmDne25BTZdC7V3h+dt+qdobE7/Iit/z6Ajxxto/0GpBfpG5Bw11jUzigb7B9sCvtxQyLvc+iPn7DixJt2uE/oHJiVZ6gH8y7QzxSMhcFmNcV0XWbJ+ceLncMuZaIfXX/3tJvanz//k0C4cyDxrefRaoW1qHMi63tK+8yHWnQYuYLddBavSfObPZsRkCbsR/c6mSzJ1KFe/D1b72Wm0rKxhFu37QiDNpcPnGL6XOadH/gLpL/PJKbNnv62bRr3FkZ7FiTnqJzcOaPeVWQkDDOJ7rP1J9/lioP/ZCJ8LWoXIKP5pePdJimMDsn7EGlb+D8xnXrS+DdWwEF/fME67zi9AnE9aexhztm/Pkv+jL7hckvB9n2flJ3jvfQvFFc1OLD7lwwoKxEJd9FPrJbxKKgn5yX2FXEZC7djuhobkHFW8ATuUhWzdmi5XWv0SLVNsB9/3qRuEL50xP3aOHhjlga3BjD5f5Vz02A7CsrXTnlGRbmHSJXwjK5x/w1U/amYue6HqShS3jb6D6cspsbQ8oy73fSxTBxTK4rMN7ntKxdlTlxUTsmYT1b802V1gjRp9ncoSf/n+C1A11pxR++n75+1cfxmyiUcokcfNWvPSgxuIthTfyAkJKXkKTuJ4QcSTPVqnQ59Xo0Xju7EVv26tZ4h/ThynQ6EZGCFBFDKBWt03dPEyBt3BuMJe82zfuk0fcwnsKQocE1aCHk+boplorrjEprWLDEzgL3YJGuCaYY/4Jd9FuO2tNhOoWL7kpQN4mnSVUzSqso0/pRVle9SaB9xg0ij2P7S6OdnHFZoZcsqvRFDPiQ4kjjalWNLoVT+emR83GqTjFtwQPxOdmjVzuqTxgvtPS7ljmqhcuYWmzX9GZQgtq4rZtlpRtt4xbZ5mq1EZhMtZAnWClDoR5+DywYEYaqTTKE41Lw55VXGAYYMZrI4Hrv7unLY67WSWP0hjnYweOjwU8e87hXsv5maZ5dMSGIOpm+UQz6CfUD4e/kxHF0Zl7yKmAYU6W+21m6FL0XHNI1u0MYEv3xReCNAocf0VS9MY3PHCHqEZfOgnf/yZDbpmy6NeLwfH7ohfpq0TcmmQ8R/DjB9zoF6bceTBXHNviR3wmdpwXXrOxeFzRXLhFG2L5wHsAoSG91dcRibRZPQFdClOOL26Ap99UYD0fYLrndAhieerv6hgb75fUq/6jTwo8sEAy0Lvnh0FrYLcF1FDdzrIXB2StCEj9jVGvVOJd4r5huvFRLRFlOfkpkub9AHHh/g+OL8h3Wbgec6E+T2HF5jCSs6JyoeCQZVnTvZlGi8oVHO60LHfuou/LhQzp6yn2axrs6o6UVYZ0ufUFypOCFRTFL5ku6tWq0A9WWJUktHoGw65CuWviYkkyanpne9FqbXe1frcubphbFen2oKIuMNW9oAdEeKGXXu0yEkdGJG6GmBKrULuU9Bt4FwgVh9K9cPglJWClIkZmzRwT5obPaAeB5vY2/25/iDD9Epitxk74ZCVJiJZld1ivQ2lKPGqmQKJFjCOkl6l26fVU7Pjksc8Q5Ny6vztf1qpLywGBTb4i1RnYIT0Ylftbk86Dk+/UsWjw4kxNOOmGN5u11/21EW9OflBu/hverAvIGXi8M+Fh9cfKYeEcBB7mF7FE5ogq4JI7o+EC9v/vxapmciaibbRwQBb2v1wa0amg7aRSoahoVRl6pOeY/6KnxlrBZ9f8sJxWn3pn9tCthSlrxakcJo2JJqlGIDrY0PBPawo68rcXcpNdvYURaK/k2Iu61g94iu6F6bcCqHouFSD7pXSAkjUZby7bS/miGSDbgVYsZ8k5Keks/0tM34pN3oVXL7SN4jeRHfHq4JWXN5pMtY6WwoT07tSg5Oah4ygGEW+eaHS1O4Unenf2yHceVXWeJpqyHxPSDeONK526TxOO9VGDZ7wenLyMa0y2fkH4ofE/0n1oSFT3DX4De60xVvmyQexH9BdoUuxct8sKQ/Eq9bMRFPuHF/CDFnIV7bKmRo6ewAl9SB546G9K9Joqq5TjyKaIipR0s2c/GC63Fy0+Hn6VA+CuDnk8JYFtsVIlJp3jgI7aT1Kwbik1S7gI2Tcjza7k+8jL68TsaUExPpopZqQHnpd+OQX9rqud78ev973ZXZZNE+HjeCoUqOSA5/c+sIuUradVfBMXl9gDL65MPew/yP5OD0VEghhhj0OtAKCLUNH+/zRMuCuXjBha3B53pJbkBerDz54VdcRom4tsR08cz+g2bxv2L1XU1qGmvcuWBgKNtvjB9B34wwjbru0CkPlWUxptvVxkUpMg8j0QrAmgLuJxgXj2C9vvvE1mmD0HBFh+CSDLQFj0MJ6/Nsn2ECsIZORTf6xwn+h7IiofAN5ydSPst33EiXurwaLIxr5WwtLENMHcv95X9MgwPS5lEf/UJ3cZtaOIc5hualjYfpPzTeUNT1PAcLBnGJmMDJ0Zo/obbnsgmN5uQjkE+iVWbCTcsfDWFrHJPWEKRStpjL77wLgN/Z/a3wayG0VQgAbqiIg91h0Dmz4U0w75u9F32lAe67NZfoopI64cratbq1cJuKKdHVKSr7dr435QasiTrxov0r/MaLd2xZ4lypeFCgiaChpuM4quEWj7UyxbhM6/dXz2ZckbEnBIcZzI96YwpdCNxqiBjXMzJ9sCiZ6WMAXlqnoKSrrQq2ZuluJ2eNRMBK5VKWK0ZBgUGNW1fe2NLMI/tccRT87cUS1QTbXOblDPT5iwQOz6UIwcbUVsVmLSdH47eqORjWlBIcPXXnj8eL172s4YQpCHWNxORG5lSbeku4q3lSt+Y5gukKy+NybtV4Ge81SJJzla+t93z1VO08/KwC/W/P1/tf+o211Q7Iy9iZoh0bR2XLowAWT1Nmk4uhTkg3odXIUtHvnoiLcD1XpfgM2kNFrHILdqKHyjhlhm/trtybTavvmg0l8FBXXW2GDt6ccNlXRlAf2Y6FmNYKESD8VKYLPt4iwZZX3aGlzarJspXf5k0IJjLyjxupQfGX2A0fpG4Svst5oybuWOw3KD20lKxloVWRwzf+3jWdiK5z+RUg4bdg9X6fdAIl6/t9yyVjudHNFJu3RSqalh7lEwNYQyjGit2FnK8PzWlEBSZjfBTvaRAkvvvb8sdQsGp00vFbkvqWnO/KhvMMfxZXXqsKTXf9KqEq/4MYhYjFLV8RDMMH8YVSsQm/pxTYatKKLCl8InlEydVtvMLg4YZohKevLz3HNVwmZa9M4ffmnYhnRQkhEHhnz77Apa/Ifgk3C0iL7cSbNA97tOh7HiF6eUDzksS9nqnXEQPUjcsbQIzrghVNvmH05Bc1ad/Sn+Krl2uXnMrjPywl6VZ+uDkGUn/e+erijZ1QfKUPF99dqzONjDtp1SINnMWGG6EMe5yYzhIxVb6ifR1KWc9dVf2h5efuDWr9A5YDNIkBfvIaE+BYlwpdQn8hJPqQlpSEVHR1za4xcSlp28zCQRwKT3LVkJibxyQRLH3yTKCMW/EzDq/vkThu7Z6D1e/atGlTQU4T5qNPcrsL+es3HZfp7GdPR7J76Iu9D67uIoH5SJt7rs/coU4oRsormBnGDzx9Z5vr8kwlLmeIvilItjZUIVYqKgwVQUP4TAqRCSMQiSq31bBs2poqiIwKihuJW1/rSV7lQahuG8LupRUuh9m6FtY0sWIYDpk0e9Am8J6rP6MMBGdL/t+a+VqXmX1JK/3y6/Q/fwsnkzCE1RvoZd2/QYV+sJdl9Ndk1t2EgZHNT/WlBMSrFK/CLoUmUvbO/u9vV9Z99k+roM6zOjJFQf1BDjnWDfp2sTOCgrSiMuBRuZKkUfLgZo/23NLvymctRZQGdq3xWYQnu5rMWxPRSX/3Cx++b6bS4stCiWmW/4mGsU5iJFA7C0xnE3NzXa0DuPa8mfddawaq26eOaF3sUHxbr2/tpwjuxUCaVDdTB6RrEv2yWMnet8oH3CD5w1OYmjfU4vFltN12K2+9+oecIkvUSZD9Wxo1xcFcsuqrVAie9ci+wnDuw+MbAIaVsobjD1+Wb8SOg8oxLqp5HQEUERkVZ3oJMrErnXFx5lx2ym43LoDBSQjULDXSAL6sMzn/TFSw+/JZMT5BpQ8aFGJcc51ACWCAVLxarXzQxXX5zhcfbzWG5q7vh9n6OVp+c0o0+1mgS5NHt526aFiaF2Zy0k0Vz4M7dxithoKrYbjqFwhifzIdqXlwSx1VbM809Bv87XIUVTp1VOTrvT7yD7EIUv3aMajWAkIPzNlN2FG5EVquH6h+mUmNAPUBslH7Xi5ms7hu9hkmApZ36NnvEG3CZ+TOJpGun6GtIxxLEt7THAWFyu3EQ8zVhex6QW9jw7VsKY0QnLOljaJmAenBeWcfqy5O0mSUGk1VVAOebrCMYKuqcrUgzbW+C/ggoTLEpcePkjdKWIrY9vxIXoGfbbr1FOwFcIUTJR/97WY3aw3ZTiTJUvvKIJCLgxu8MXywHHZea10f4LV8D1blkwCpUVFtUjirjQTxQIfsaoFZnQWI3d/mZO60N3ZxcHyVjambDcHuNcKZ9DjxnHGEqWphO+g3WM+O9/p8jSHhM7L7ehYwkECUP7oCypU7Kz8zdGA3yJa4GoDx/w6xo77t3lxRuES5YwpDsHhN4xPs9VvLUJqaP0/OWx/6XLROmdQ4LTjCNObYe25eOMewuDV9nAnKh8Z+sJ3xyZVQeJXwaxhXMtB7tnDKeb1657Ukh9TtK39Vx8gEIwVVpNv1Z8f2nklS6uG+dsbsOHqKGSWDqULqXDrkpRRmj7aeoth7UUFqAXicxsv5iNsdAR/BN694czv5A0QXihvznOiiVr2tvqQQL/yUVm3frX9wyBSf6RbzRBL2w+3AaUloxDkNwJyudhMi5Xrt6gO+xfFHWY7e87Rn6URDnn9xVxMgXhURjFv7IKT211+WcoXfTQazLrlvSXca68iwyPyuP/kPmExEyJ1mt2YElHpYrYs7ZpEm9O3+NZAmXL9i5ZlHy/8rJ5M2tDP1gBqowuCO3/KUzYAnNxZalu1F5Rk8qU8Maz/riauA7P42tks4AgzpZlj4qP8TVvaIvNoOrwyR78IxEeJHB8GfBFklZkEv8JL0A5cfhNauRbIOLmx5V/FHkuazf1Lj3rpu9zb745IOto0RSfU9q+hfNHvirgyaayHvxe4diWzBOsS5fU5WCEyFxcU3SgVX0jz7WwWcDRNCqWOp+BJY1OYHB9XtTYa31ppVlCUWOSWwPO65xBqxlGjClcmFlkhpWqwdsGLDC7i1R9MPWmhK/+gXLg1mtW0w4sRCqjJv1m+sc5/S+zntrzcl4Is/QU+GT7Tafg2izufixrtPTM9PKJD+MI6bifxLjeJUbgVjlRDXC6GYfiZRLBh27vUwN9u6w/rvHXID2aoGpGZb+qA+fw+33k/Um9qNAgu+xDfrMjfVoflo8G72Ucn2HPnC93yz7DyjhEIPlbTyvhdOi/Bg4qipVHci/mKNhzJHekSOoBUEdiWr/ynSDNedaOwnDP3faDNRXEjeNU2hZIE22SdKtfFu5Y8mWl+oI+V82cCtLZG8hPDY1Mn63JmcU1R1o2GK453+CbZEmQzvnZ3ilQfhJ/T8qqO07Zc9vINcEhpn1VDmh30TMymx+Y5/FlKxV57aVF9gP++Ia6S1/Kr31Zj6gttnpxae9SUw1U2GawKRHNiaSuzrEd665qq0Ajl7CcrWEfGVjeBNqmEqGP1FeNl9CIP8yXWnd9s7c5Lvjn+oPtUjd5740dfIhGT76FIeSlqnEu+Xr/yzEnKIafHd01CxLZtFq4cri9+ZwF6M0OLsd6+cu4m4AZE4jp7m8EdIGm31oM4FA1TKs0YM6gzIhly6QoL1rkqjWNvstgbCsmBMeiY7zEWyWxDTKubA9i9tz0jZyvxfnE1C8gHWOvDt6HfOpp+XowkODONtU92b2jhH6o0SMKkMOukVPT3qzt5/Rj4WnmzhjLrIbKS8mWElogsH0tXZVMA4pePBdUM+hGoit+qcX+Eu/qhzusRiia7rBDaNHsV1Yv/6OXIbhZ4G553EI6yJt8aEJfGYHANEPez5oeFfUH+qA3/ed3GlFxLvMeShgAVwrb/6IUT1uRzQp7HC2b1keG6xm5E1bG5LBdTer/RdPpptpKSOO04gzMvvKCDl2AERtOZD6NdFtXUvLA5CAykUi4H4CxyOjcuHlKrEk5f+2xVovs6Uorhykj5B72mlmsJwM5ZJUuviXdsbP88OE7WExRzeHWtNZM7vRDXpEoDYlNTxs/zfdWgLz2O8G7xtiJVMqGx4uxsKcr6R/tcTanC9MTkFVSlnpwUUW7XTS48VqcEdKbHqd4hZTbYhTLPyzBY4FXq/M25vDPUiUIOZ5NqNdbH4fGq0mqB1uRjWNNWuvd51qESTfGawq9KUmAphuFcArXRCpVIH5WHT/GgP2B9bYoadTKD17J5o03kMnbqms3FU2xJqpYwpVmYWB+jCv4IO748Sjdzj6BIm6nD/WchS7d6+3j54XL0+3XG6BILJ1BlHdjtDtvXy0NbCiOJhv4jJsJLsB0RJTXDtxrJbFtbUvQDkgFckxvfq/BCvTS4sfv0+Y2zCZp6IfIWhBZCYpFvU/D8HvTBiIRzTfLaTy34YoWx3VjmupwW+brhp6s1wZu0juwsAPyKkxqhXUPYwsr6GO1eRZVN7letOhYbYNF3TmH9+ULDIUUOOoZbZYUvVL/Vj7/8TqE4Cwa15Ht6OL9YiKdO8UN9h06BKTsREWbjlEtNJjPtUkROhl5gMToW3NVHfCIX4ska3sDDPo/GwCJm7vCSTBXX1/JUXFwnASf6zJPVGv2xOVD+M7Bt95NxGUWIlOKxQADmnjEnAGAAbGQvNn5NeS5xKh2t4cmTKW+yhMVLaiYLo64HXOkLz+Hor9bajxDggdsS3n6qwn+86+N7hDjiRTetb9Z+vxnkS17Q5pzzAs0LlVu8lWeylT4Bzxcbqr1dN4pjeIrKGDv3SZ/vWZEa3w/81PGrSRYNn+7SC3PPE97ewv5hGhxYjYobHlBxtiumQrS8gYC6Za6RiXqtXyD0bjnNQmIHB59whE1WLZPRJsPuq/sW3HXxGqXidj7Dw/pmfWid/D7SXoMDNiyTkswJ12CF6PK9MdNvVTI/Vyn8+M9IjRub6S1bmXNtugpJMd0v6GdY8nOaA0etXPQxFbPjtTuUUARSgvtmEzYwaTfGpr5zOQl6VrWlm7a/RnJnWffNq1XamiJdXg5EKto5GBxTe6JEfRPpJsSsAMXpVJs5148izivtQ1q7Y2BV5so8IfarZvnaR4TkIE41h/j27m24bBboUHlviMr+RBL4K/GNUDw3S+PFAJ6TLa+wyJPcu+f3uQHl+5dsBZmxOCohrK9GRPx6iiuvROyvWHxlXlzErVZPzpBPS9WfrUuXL2r5zUPe7izVkhfG3sZm/xApseqrBUSoe9GmkQvzL5tRYNLVFTfXSPvtetrVtwVvnX+h6p0DWgr9RHZ9I7SM3VR1KOSoM8oyIE40P0gmi0Iwew+yEiy1J2eNw/cK1TyYHyup8oXPXIkRbrx3T53zE9+o/P6m2q+h5r0ee/D00DlBgx6BziIIB6eWUGYSx2tHfGReNhWURGw0RJeXHc2qQ10D9ZeVEm6F2pKTLD0EdO4D2wqGQ1AcfQNuToGptBD5MBFtBGf0XDt5PjtFUlqgn0z/YCcNgxLWwNse9/OHOEa+bfWpkPQJaLzvghXwqrHp6UK+Y+CMTeE9Yb2kcehsR9P34Xy0nbE4FIxRWfTN+Jpy0II5VX7rKR/aDySGWgp5UhPSzPcvfKXOEXzMIhmyyvgH42NKzFsKLOVjh0UXb7rbPRixy529sPk/lHNQUiX6e27KzTPXzyLjqq5A4qenoY41e1j0sspl1x1l2Ob2tgWV8h2Hc1pHXVrNOvv/B1OsCtwKZW5kc3RyZWFtCmVuZG9iagoKMjQgMCBvYmoKPDwvVHlwZS9Gb250RGVzY3JpcHRvci9Gb250TmFtZS9XQURaRFMrQ01SMTAvRmxhZ3MgNC9Gb250QkJveFstNDAgLTI1MCAxMDA5IDc1MF0vQXNjZW50IDY5NC9DYXBIZWlnaHQgNjgzL0Rlc2NlbnQgLTE5NC9JdGFsaWNBbmdsZSAwL1N0ZW1WIDY5L1hIZWlnaHQgNDMxL0NoYXJTZXQoL0dhbW1hL2NpcmN1bWZsZXgvZXF1YWwvZi9pL24vb25lL3AvcGFyZW5sZWZ0L3BhcmVucmlnaHQvcy90aHJlZS90d28vdS96ZXJvKS9Gb250RmlsZSAyMyAwIFI+PgplbmRvYmoKCjI1IDAgb2JqCjw8L0xlbmd0aDEgMTQ1OC9MZW5ndGgyIDY1NTMvTGVuZ3RoMyAwL0xlbmd0aCA3NTQyL0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42o10BzTca9evXqOXEMQQvY/oInrvJSJ6GwxTMIPRieidqEFEjx5E9BA9eg+iBkEQid6/SXLOe77z3rvWvWvW+s+zf7s8ez/7tzc7i54hv7w93BakAoch+YECQlIARW0DCYCQ0H0BISFhInZ2IzASAvqDErEbg9wRYDhM6n/pFd1BNkg0pmSDRJtpw2EADQ8IAHgfABSTAopLCQkBhIWEJP82hLtLAZRsPMH2AG0BgAYcBkIQsSvCXb3dwY5OSPQtfx8BXHbcAKCkpDjfb3eAPBTkDrazgQG0bZBOICj6RjsbCMAQbgcGIb3/FYLrgRMS6SolKOjl5SVgA0UIwN0dH3LzAbzASCeAAQgBcvcE2QN+lQvQsYGCfhcmQMQOMHICI/7AhnAHpJeNOwiABiBgOxAMgXbwgNmD3AHouwGG6loAXVcQ7I+x1h8DPsBfTwMACgD/E+4v71+BwLDfzjZ2dnCoqw3MGwxzBDiAISCAroqWABKF5APYwOx/GdpAEHC0v42nDRhiY4s2+J24DUBFXh9gg67vr+oQdu5gVyRCAAGG/KpQ8FcY9CMrw+wV4VAoCIZEEP3KTwnsDrJDv7q34O+2usDgXjDfP2cHMMze4VcJ9h6ugo9gYDcPkLrSXxZoiOgfzBGEBIgKCQmJSwIBIDcACGXnJPgruJG3K+i38jeMzt/f1xXuCnBAlwDyBzuA0H9EvggbTxAA6e4B8vf934p/S0RAIMAebIcE2IIcwTCif6KjYZDDHxndeXcwCmAmhCYeECD06/efkwWaW/ZwGMT7H/PfzRVUUlMyeqzN+7vg/6gUFOAogC//fTEAv7CoEAAoJC4EEEcf/P8dRc8G/FcWQv/4qsMc4ADJP8miX+nvhD3/6j7XX4PBDfh3LB04mrEgANc/BDcXEhWyQ3+A/980/+3yf2P3ryj/D4L/dz4qHhDIby3XL/X/obWBgiHef+nRfPVAormvDUdPAOy/TR+D/oyrNsge7AH9b6060gY9A/IwR8h/HhGMUAGjQPZ6YKSd0x+q/MEf/RowCBgG0oMjwL8WCoAfKCT0Xzr0VNm5oJcGAs3H3yoQemj+faUyzA5u/2u6hEXFADbu7jbeROgWoyVRgC8QPYb2INRvBgMEBWBwJNoFgC7PH+AAdyf61U8hgKCqDRRq8wv9DUiKAATtwO52HlAHCNr1b1hEEiCIXl//yGhHV/TSgEFADsh/UOBf6J+e/w2jkxdEesF/y//K3s7DHW2M/M0udGl/y78XBQiEAtkRzU7D7aSfOdc8azmtlmfw4l8flplgX3+czs3vO+ve6nFOip/CXZX1dMn9WD6l/wP55y/KXEdyc8xXvt8a6/DDm5L1my/8Lq0SDcbWm4k+jdL2jBR8k6/tZiJk5DeS2/C7cvMzDnbBbsR8r8Ge6+YhQaqXR3Xq1aWKqu0unR8Mm17X36gS0yS+LB3nj30UYx5cPMn+yjZ7io4VD8nPRMBDuY8imzw6nqB8OXLDrJHIS+S/E3u/0Nd0WTjubMpnodxIGNFOz0ZvSseEfUQ5OMbhq7CZqnF7xrekcMl9MG2KtnVoBfocCNnk8lnXMTh13/ppycE+IsVFTyeITa0eHbPUpJYELWZJwhPJ3v+ssYRS/yneaIvg000C3+hCxGtIrboOHMdq01sRYtIbKR/00oKy0+oaKvyRlKg6vnZ1T42o+11PMHJ2PpZZ4P0kupD5vBtQWs+cQfM1W23VHSKtRig1yIVK1BPU6794fqOVwfCzdyjW8FSdE2G7yNCcPxMQmMaA56f3Hts1hVbHTpemobJCfqj46OiNQrVxz5dOVm4jp8SiEUtFCjIUViodl8EX7xS+dgQ3r9pStPQXKMYHntuyXx+qZbWyhg+y68Q2S0tw2h7MEajiUcWadqa0J9v22i+TWIJ32Coa9psOE8B3bMhBx88Rue+6FldCVLghUv53b6rur5kQJeKSMGl7nmKXsKvq7LfNdN/mGy9qFQywHo08YX2xg62BS56gK3xfYi4BjAeI4bdQV31qt9bqIL42GVQ0+FN4ZuhO4ly+vxGA9PprD8nrTrkDQg4UDTUT7VItpYQT0TOaWV9HmzpRxiWtoN4pL84AHBndxkMtOjvHU73VN9ueiZJvVAZe+JzTsJM/LT2leAbyu4rQTROcsN0LqaIPb/t0sb1tTFgWrEmymmTZ2NAVJjEZ3vyAW7uiPTQm7MsDAizoEk5sifTg19RExiSyCn9de6CFqeEw9de7UL0QhyGR6skmbqZ0f+3IF3pF/ZuOwqM1EKBj7OCqytHwVibp98U8V5I0Y4x3/j9jfOuLH5hR0DCKgjV0n5Q+HJoSxaY0iaI0bWMMYts5XgSKJn0Xx1wOaKTD3zTNwcBifD2XMrJbRFbA/yhUqWMMKot1f7hu5/UzToKdM/qItvzG1RIqY/IRXoNZhkDVK9ccb6XbjGojnihf1yBKOy1anLwToFfL5oe2hXHKO100kYQNKlvaOo5chphRq4Bw2UlunJ0mWekWOW2qwfxdBZ2lctU2k6N4JTDZNpwEG3aLRK9y1rDlg6HJvBKumcu345h4x16zPWRWR+cB1ZtHlvSyifsf+8cchKMacgZ+iJ8cR94LQu0+wtjsbIU2xbUeWTsX2vW71LF5SDXgGZRSz4ZGgZW/Pmoib556NUz+8sFOy2r9lIDlE4436fNhjAnwRQZJxMMCkrOBzua2xKZ1oioJ5zYfevWJ+S3FNHZ488RlWVymLkyC4aeB471UaaWW1AGGnFFy4UQuDd6QgQO/2bEOAtWs5OLNqd2sb9TLLpJzNdMh1Acg77w7FFclgn2SvHz8tve9GiUfJ5yKY/lnz2zPA0gpdr/5TK3kNzI2FF4PTby+88j7ysj1vB05c9EQF/nD6jJFWKTkq43YOKIkKfwrLQvepO4LwL1B8EwM22Kt+bL8gas7W4KX6PMSc7IBV0hEbsQTGNCjwNXebG9gF+LSgcsCMdhZ8/wZFC0SY4UKpWzZtLrLdgfP2Oz7BV6ymulVzolm1YW7udfRq5akQA/2PauaTBUSS+ImbJn8NYzETeqUyey+MMUwh9Z0dv6Z+Xfvaw0etqxG6WNjDZMh5Q4HerseNIYrutdd0i3v+eRvrCUrjYWmc1Edg/yrtqXoCJRHMGSVg0Lbjhxpb8lQHHTMbTLZHguxho5WuxnpYlpo4ZkHtRFRyw++OB0rxxvv0h5KPtKOSwmFlzG/RGk1tUVHjgd49N+1CGm2Ghub+0qCSS05KtBfKjfx7m4mQ3SvIPwUsydHnY3BLO/zEz61sCjKwrZu9bmHwpmzt7i/5V42va68/b6wrjvAJxoVI/a+KBCaHEqLb3KsYhz1/FhRWRelEXZO5KwCLXrmxE1v0t+K/YpxajQ8WqI+pJcpem4r1feLB34nSXSoXT7PunTJAEh2znZ9qRcDYlx+7XcyTCFX0DXGT5HH6PxN3mFV8m2b8aXt4ataQkoJLKOLefsaZzoRli3jlqb0NVDNkXuUqeekKR/IuGg8DEdWiMgUa2H3cbdqAd6Z5808pI4qYGuvZzai2kzUXSvc343AaN8T6qw4vV5mq91FKeWYs7Lb0Rl+TNhlrPuNGjy88TV5rpTsbsU9vzFv6Am/yBA/38CPLGKHUJVj1ONz0tjWsta3sa6IBhOWWDE3/vhn2mSce1RXr7rj55ZYgb09fAdNCFT/W3XD/DScF11Zp5TGN6yWu87i6/ezlD96GuNlZHDh5BlZ7mke8+e5yMb86P+eOZEksCJt78s9teJKoOB0m4BXpHwz3uMRITFPTdkm1orUOTS5UPoBEzvi6RsWfqLC1X4JkxdDvK4cIsfOGTRr9PXHupYtwDeFRq6esUqhlmkJ1F1d+MwxmfMkhyi29Le7vA6QwzVUUiL9qw3xjiqZVXqgodhDhn13mnNthnAfgMjykpDFDUla/pBJRqhi0eLAZ2aq7Q5CYfpA3J4mK8SNqIdSueU5p+yXJcIrZ5Ab7ekmfsf5UTHureoWLqrbBK1nE8mz+soeDuyoD5tcUFYCTEwFYi5bd7cnbvQemBbDZWpMjr2zXRh0Ba7iucl5FVJvdGb15WnsMVt2w6amnqT8CP6u78LlRzP6weok0DBfsG/gRMIm2fisj50TPufJ+kg4jqV8p9iFyUlUXzb+4FUp90ZUiiOHxiu2PeZiaoqgyQG+5d55Z0MLGo6PwB0Vt9FBnr5tnvl+k0yeuHhwKST8p6GDznOqNF83U0bCKk5sud5le5xTGISpwfeKVbNL6TAP86Y7k3BaBDlv9CSe7LZk5o2Jv4gTSP8WpMNKXO45hSnjo67XbYKF8nZNPKNUGK/lO8xFmKR1Jnzr8JhFbnZfXeKIHpWvtWtVdczKsBiLChC3Zfu7Y2quXDDRFro9XTPMwObhNDiXySENkmrrR6pgWvkH6xrz0+3RB82SX2WqJMr8WI1jkuYxfdkc+2yxIzeKXBUeAzohUo6bUeKTZ9sBjBykT55t75KhW9PZTb9K9qEzkzSEQD1I8rMUc26VykjkuzuC7NZ8UNqyWnDODvmG4fIqAoiRpv0QcjC0sJGQf266OvWSFm/HCqmRXUbj1pvRga9xmPPquYtHn4J3zT3e0urXQLUdLZtvth+14gDP1yMzMn+EHK33ED+2Za624NaPpZhxdoDhxw+4OgWTryMrMqSHzRM+xxxLSG3z+UbU1MhcYWuQKYcImz2uVGryVeoW/9zMJNlxzMCpEbSYczK6fnEPeDgCdE6TGoPxHuGq5vHNdI/wpdCsUwVCENf3WxaeqqjfGKktx6sxhlonYRxnema1pXx7vS7DPiFgs+GNqRkWH1nhra1wBmNpNfRw8fZkFX0zr+RDNF38mYFT5E7/ydIwxjN9PxKO6ZKmvvaJd00GdHb3XTgmWmY1cnNviUCHSQ7MPrWbJfc5+Q1bMGVRia4tDRJJatT3xTbe7Tuamp4gEqognfry0vHnGn2HFRGjF2zlve9Wi778O1wYdvHrRlXHZHW11BgLfGWSs2rSg0R4YLdx9s279aAWESmucIIB8y9GBU+Y8REP3tfmNiynduo0yi4Tab/su7VLssVZ/dGqnj/TiAMHqmju6brCdFoqWl+VYTVNr05CcSPgIa8zcPtDvEjlGFLucrPQIzNvw/rJ0iRtX/NH+ZuVoANYfpfbSnl7fKXq4PcC8RG+cmgN1hfl4u0GMcmHKROXJeJqYXfk06boWkFjhxW+X0Yrc2NljScGdPL5XPWOjZIXIcMviR0cc6TVr1uXOlJk81gz5hUmpieUvEdrbmntaD8kUl7g6xaxK5ru8NsiuuOfSBpBirsuc/61mrp+CEVjq7knfLmH1RJ1Ybm+Z/n4BOeRvLF4JUo/AERzb09ZY9BBUBTTQLj4lvOLxV7SukmYHJYK2WSmOgeNvV9TCi96odlahvU36ZRwZRsC5lwojjI3PlE/mKGPehZCUh7UlAkodxsTxCV/R5u0eF92Jr4nM+A9Pu40FVUBAyKhOrsr3jDQ3zhLnDfpgvT8INhzhEBiLXzBZeXz6x8sfe/pXn7c9UcBZMRNf/qHUPZm1W3lWNilFn1jmXYOKI2V9eegJrc1KUhvcJsBK0ffv41NhUqEXg3Hn12Yik0VKR+K59UqrvNKaSZObkcmv1k5WwhQscfRcSwFEqgON22wH2MnYQzNBJc8f7szP7K41j0fAvRerb29uI5XRh0xGOzVqgjB3d0oLX+TM+gGVOnQd8gF4ix3N0enSJqnfN+W+9Dy4isz1tw6V3cEY71lTCajMhPOaO0Ve8MbrlsOGj6Rg18s7xK/qONMqa0hwNp/R2IAqBMeig+zedZC2xuSt/eEknQ6zLTh1eGVKWPIxJhjqH0n4SPJCcEvfq8OJ4xHWo2sKGkXOO6wWb0opw2VAWZc+FANq86orqB6N28JYkWy1tQXVamcHMFxS2of8PEkxlbd/nRMNntv5skP+IzUkg1HgrPiAl1wX1V3occu3ZFmq3Vp9YDHhzjcuTEAtuBxlse5l40yMjanBXAPwhLk//QgoYx45SqnETPmMtT5U3hYVgRtMScPyMBpnZ8sVuCuE3WJdKwTnnYhvOdTuV1VPNnIcTfqnIt5H9xOF+VF3EBzpjPY4LGa8onk+K7R3hFBgkwJZpOYJcA4I/26gK0GL2bfjDHJIWFteHd6J/Vczgwx7YIReCLiotG8LydYaahbOgJ7omHOCu27s77n4wt8VYvLEPv87TVu1joPNm6ExqXm3mySHw5XWx6szUuRaroB0CfSz4HlbNXWqlpOsShQ9SSu4tLWbL9RY0OiOIVuX5yHlYMFI2h4OLuc8jSWg+2Hr+rZXlG8rDWklfxlZyl3SIw0h59nmDYpXRP+aXtnjvlxDqmhIYFyPqkWfN9lU+AqomtMJ4chlkPOGpN83DAzRvIIlD9wVJf6ozqsb2wkmjatPsUu60XgArg1h7gXduswCrMNs611j5WJ5+i6BNuHmkuHK2e486IUO8N6L5OLAq+5dNw59aFiVBqQR7E/s2RJnTI7gYDaFnnhHu6MZZf22K3tBBkka6YOZn7gZr8ykf/Ea++YPLOu7jMNsCeEV650LcTav2gcxuvS1Ui4M6H5gmSU9xLRhODlusBUrkjpA/KGaSfvBlSzr3PCy+IHBXx7DJJIeMbZlSro+YZr2x5tr1HO6vV0hDMUOeM9V5EarF1IcLiDQ2jm8t3XOuTxwOVM0zoJg5gNx0j0bdotB+S1J6sKrZ7Edz/qJF5snwCd4LZ5XhmFwEhtWooTL4dD/JOHohcr1+ExYkxLZYHyc5nqGtGc8b788pAaNifp79B7FfoNd0WZ7e2F7njc5y1lnla0Cy49Mp0gHYue9AO+V+iykN4gq1/JJTGKuFvdNObfFr0Q3LJ94MtzmPCyngVf17JfdItEuqhdbKlnskt9IDEmA8rfg5I7wJqY/xiPGDd7L4zREkkYo8MYrzhrm5rOmw/eCGx+kcfbH3NaNgej8PBfzn4ZU7kfs+cMaaF+/lzprUy/FXYOgX/kbONnHmDUfdlVydf97qLj+1XJDwy935rbPuo3w94B67X1mLbrifnEvTPMHVf7GrwJjl5qLRA6RFX6JRgdd9FP3Bvum4+Z1f/IWCVrBfDQKPqi+LOoQQy6b/1TFDkGij+nMo9nYKl/X33Scn3YQqgfckNDrwspj4hY77ItUNftq6IaXeD+5AJydhGSF78D+U4u7is4/Yx4lDElGR+W9VnvwXRnBySv4jCa1XDz2FI4VtMr3HPyTF5afXF8Vqb+WecdLJBqif9M1zxhyOyOzbhW6ggHpWxiyAA/8pb22lWWAF5Feh6gA+LgR7K7mrGiwJaNwW2Bm0WJs/m+wqy2onVTRvThmvnHwjdhfZgKeTeMkUvCIv2s31XuFSxqZlVo3SjzKGxBXzN+9iLOW7Dj66924nv54J5DM4r9mvfukpaoSG6K98XWewMMgth7cWkHhoiGuFDeUfxD51L21p6+lemLmc1Od7f1lxrV2cHvE2qeVpN1BK+RfjyhX8c/UdtJqwy2/oxHYeiXcsRpQ8MibnY8bcoRJKDgqSkZIuIbMFTFqfz8NmTtuGhp4UxB8paY44comCEZh//uoIrWC1F3oL/JZnazrPSIWm/VEpOeLo+yCLvVxBBOsL53JJUAIJgX2IoZsv/RfzH4SHpo2NwwHaKpLFf+kf02XneBPusk/triwS67sdLB68jy6LimFzRh4xuN3rssEdJCtMXO1gKvmd+lbHOdSdZ8Xr20J2Qpfi4kHR+fKmiG2RV98PCeG3zVPs4iW/dhO56MDz932U1ZvT3TaZHjY4gfLIhAa6qG8McXlXhltfEX5gEQToYb0vFnSQPUjSs/vg+vJ3hcfBF79BpU1H0ZuKdaqdAGexf/QVN7MDL7UpfpIiYTdHi5gJsTNBGc+K3TWNYJbiDq/Ux2IcMzt6vB9FqOs26Ptx3qnS66JndXyjVnnKZ7f4vArfmRtfcQkfAywavrAHoOuaE6HaR0SEzu9akM9nA18X783BH8W8f7J7ylmj3zL4Ljo1Q6u5GhPl2C73wMXIICzyx8+HIgnZL3P3DUEVvG3Sqjjr3xvujiaCg3J3oVXufJm+9psk3V9M1DUfgcW70yl3QHL+Dl4R3HkIwkhMwpK5frun5L8XEuq4F++1axoRsQFTlYxPd1C+jQH2Gm+rTNAsXBPJRCEejyMr1JVPmyhPPWpU+cCjTtPMOiInL/M9So03fkqVMGMLDLNCoxnavnbhXllWcWUrf9zl2pVy6jeXT0L0QC4fT7HXo3AZN5t8o237yESK9GnyzULlwPAPusaw+91eUyo+JYHPbfaYUdFiuL5c9QPAgZ5l344pWVmyloFVzIa6JzEGY8rLXVbqQu+6RvI4vew0WMucd92bGkyeZ5OCEt0k3mjPyrtkzVtey5x1eRACdxG2fVm9demNOpYQUD+VMZ1Ve2Ep/8xLc6Aze3rahSKLsw5X/2vhVGPJTbdf/kEsfBBlufHA5ngFXMvre+oI4eabHXVNJxCM1lrloLFBPqCRK518whlnxUKyK5VDk4cX00tEz5xUS1UvfRjWGVcYjk6xzOTA6VmHv7j0ZW5IxjDls73HHOQDrci8jizI8mpUOD5Ic57zF8mWxXYo82YLVM2RM9y88H380z+9GvKHLq2l5ZjmgcULmylb67WpWKEI6m8IcjaPNp3LfC+kFXxOu0hV33t4MjmrI5vscU4NRmeO7UdlEXRRAVh4iOVDWulEmU8L1XKcRvOkGme40n7WED3tRXPW5Nk2XdHyStAcH7Y/iOLjdegJbpmMBiGYDuRleTW8uGqJ89e/tUm5bbX0sfvIEFZkLj+gMid80nfCyo6aKKvFc/qflnvBvdvc7yVwuuv5wcWKnlHQ5RKNPeIStc+TpRPLVkUpSsErh7LfUxZF+dSxC3nakLgNuYbaIPZ6WGmIzGdBTr4JEWA3q/TVwcttauBNxa9/ugl9Mlp/gjR4V5OJ/q4CYWmTHT3NgpFJLJwxYx3ij3ZabQybF7xTqIaGYY4jV4fk3QC00sLZ68zI1j/jZn/0F1hxRiZcooLvzdqfwptZCp4zxi4G2JxFODlVlXTduneA9RNdNVPxQiCKaXHSxPN0QQ+qKXiz4JLeaMBEvmwaky01gpmqfFxiYJZakl7qG5iBI6ceHKVbxoCas+Ou8Azh9LwyZjXcJkUxZTq7BOQ1sUaBY+d5Ih1or7c1J1EZvGtt206IPcWblAhpZg/RmTJG8hhcW+dFBJ0IUqQ7DM1DPcqlXiCTKNYRdg5JYuRfDt5sqKIMDL72LsWNQP8wODt+pFJXrp6faN5La0ntoAA4ZlcVpKXW6mrbX2mPURgP3KLVYF+vCg4Rppns3Y1F1uCtmPIoeWOl9Q2tXL2GX1P5LntP2uaZuRssmfre/Frj6dFF5blHaR2ko9vozsGgtyTGUP+bEoe3s73H8CUTi3Kj6pWYVVzkkcvd/kGJDcm6MhxSdgM9ieweswl3gmudyDk7Pl8LFSrN3AquAckyIyZigXSWnZ8tZfpQNgSr4J2RaD+LOa7D6EsbHReVxTxKhsnXLJWpfI6G0Zh9RaLS9H3TYdJty4EymldLd1ZKLcOq+cBZWe/kYHHFPlt5hhuHEXgvXRJwBvVV6LdPZellDj3ZdBZZGB5Sjrn6V18QwpChT2DfwGTrWoXsmK64sr02+kR8QMP/cFL1XbQLtHvpoRyHpVBMstKNW0qsHNE323GPPphQSTRcfoB0/9bTOmMWLa2l2nornnKn3JXPlpiL6p8196Ny20l+X6/cwtSH+nFVQfUKh8r1BZVQZLamv2gXl3uWrHdq2L72N8au5vC6m72OCTrI7hZkWhjRv5PaqCEp6pE03lEna2kwmZ1c6f1/YhEPvdacKv+VAr3R7dTJLZEPLrw8HLQZ/yLk4FmoOI53Y6FLz2C0FJ8rFOiCy+ChNLy6c5OxkU5N8eskSe3PSW8L9fkCR8Gy2Mk3HH/CLJM6gcS89I7SmjGj+vkbQhGVdiVsp4LPGhaYZ9fa5gdVuem86PY5nd7/isT4IDpyOIS5h48c8F3Uj+Bw10vZcKZW5kc3RyZWFtCmVuZG9iagoKMjYgMCBvYmoKPDwvVHlwZS9Gb250RGVzY3JpcHRvci9Gb250TmFtZS9ESERUV00rQ01SOC9GbGFncyA0L0ZvbnRCQm94Wy0zNiAtMjUwIDEwNzAgNzUwXS9Bc2NlbnQgNjk0L0NhcEhlaWdodCA2ODMvRGVzY2VudCAtMTk0L0l0YWxpY0FuZ2xlIDAvU3RlbVYgNzYvWEhlaWdodCA0MzEvQ2hhclNldCgvR2FtbWEvY2lyY3VtZmxleC9vbmUvcGFyZW5sZWZ0L3BhcmVucmlnaHQvdHdvKS9Gb250RmlsZSAyNSAwIFI+PgplbmRvYmoKCjI3IDAgb2JqCjw8L0xlbmd0aDEgMTQwNS9MZW5ndGgyIDU5NjkvTGVuZ3RoMyAwL0xlbmd0aCA2OTMzL0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42o14BzSbffu/oqiaVdQOtWdC7b2pvakakQQhEpXY1J6191Zq06JGba1Z1K7dUqO1R1FUqV/ap8/7vs/7/5/z+52cc+f+Xtfn2p/rTs7NwapvJKAIRdnB1FBIjABIECgFUNYxsgABAUCgiCAQKEzMwWEMxyBgf8uJOUxhbmg4Cin1HwhlNxgYg5WpgDFYoA4KCbjvjgCARAAgMSmQuBQQCBAGAiX/BqLcpAAqYA84FKAjCLiPQsLQxBzKKFdvN7iDIwYb5+9bADeEBwCSlBTn/20OUHSBucEhYCRAB4xxhLlgI0LACIARCgKHYbz/4YJbxhGDcZUSEvL09BQEu6AFUW4Ocjz8AE84xhFgCEPD3DxgUMCvkgG6YBfYn9IEiTkAxo5w9F8KI5Q9xhPsBgNgBQg4BIZEY03ckVCYGwAbHWCkqQ3Qc4Uh/wJr/wXgB/xpDgAkCPqXuz/WvxzBkb+NwRAIysUVjPSGIx0A9nAEDKCnpi2I8cLwA8BI6C8gGIFGYe3BHmA4AmyHBfxOHQxQUzQAgLEV/qkPDXGDu2LQgmg44leNQr/cYNusioQqo1xcYEgMmvhXfipwNxgE23dvoT/DdUaiPJG+f5/s4Uio/a8yoO6uQiZI+CN3mKbKHwxWRPxvmQMMAxAFSoqJiYIAsEcAmBfEUehXAGNvV9hv5W8xtgZ/X1eUK8AeWwbMH24Pw34R+6LBHjAAxs0d5u/7n4p/nohBIAAUDsEA7GAOcCTxv71jxTD7v87Y+bvBvQCWQCz9QADgr8+/7qywDIOikAjvf8N/j1hIScVcx1iP70/J/1IqKaG8AL4CwpIAAUkxIAAEAokBxMVFAf7/9KMPhv/J4z9sNZH2KIDkX+li+/R3yh5/OMD9Z0F4AP/0pYvCMhcG4P430R8CRYEQ7AX0f6b7b5P/H8t/eflfif7fGam5IxC/9dx/Af4fPdgFjvD+g8Ay1x2D3QIdFHYXkP8NNYP9tbo6MCjc3eW/tZoYMHYbFJEOWEYLgO4JAu/9JYej1eBeMKg+HANx/Is1f8lNfu0bAo6E6aPQ8F9PGKwVEPhfOuySQZyxTxE0lpq/VTDsDv0zrioSgoL+WjZhUTEA2M0N7E2MnTX2JArwBWG3Egrz+k1mgJAgEoXBmgCwNfoD7FFuxL8GCwQIucCR7uhf0t8CEEDIFTsdFBS72dheYHv8S/OPmBB3Nzes8jc5sAn9ff697TCYFwxCPDeNgkiHOr0MbTurUWTwFPg8TLC03BGVYNEbKYrhnHnq66hNmKU+8UjJFvr8zlC6/mx5+Pi0HwPv3tmI18M3OUGLaRr5GBzV3lWlA4GCge9HbxxgzFAUvcOoeHrUKuV+ogETua0lviVXstn0RZh4l8j6iy9Flx3o9QeS2wAXQMkJBWsaAyZWMa9jG/eJBSv7MmbQ4iFF3C03ywx3Y02T0UvcJ/C4U6W2GLrv3quWcZmDHz++zenrTRc5LNTqrhZ7Hk5Fd9vnPmveUFI/HXVizv1XaBxOJdET5fLUBDa6YpdwzkU8W/HFH5OFfa2J/SLuDQ66ykE39R6/a3SvQ4lOy+Z1LR4y2qxlG38XIr3TlBTlyF+Tzq7EUQ3FORnM2K8WQeR349MwAwjqOhaudCZRpWWnFtq4840xhI9DRKy/jN05s43NSgQJW6XKIiT6Pz1TEtNHMLsO2ZvNX8ikAqjoOaj0NfF0WZ2W3Yfu8gt+e9YLrzRnSUYebzS9bRvsijhAse8xUU8EJZi3Z233bCW+0hQ9eU9pyqsqhqnVmkF12vDE58VPBhjm5+Hrt3aoSz9QkJwdY4s3FSEvMKacMdZex8nQvWEhFaYYOElBRuW8V870Yr5K7N1T2eAm2VSJQODjhbGDayoGO/EUtas3Dbq+X7dOsHM7EBImstbK73jgaFuqy3Ufcy8B3ridcLGhZDERdCA+vZiv9NMkwIaq7PHDfPvYH3Hf1o8b9vPNFesiHyCiUjonAlZtnr1jan/QF8eY8Xpsp7udK3XdS6Ph/AT/gMpuUF2qny20GFHZGC/aovyxjzrKxLIPrN123ETk1vXOvvH4OwnI8lT63lqQq/VGg+6+64+KR0oqgFvkXLNhkiKrz3UCOSV98UkiTQNUSL9J3CIFjzUEC08jBXEc7RuJ1xDyWvM0hduW7E+aoinrztVdD066GT9StdQyCt3v94Gc4hUHq0n88NAX+fBJyFxP7K23Iqqzdu/x9rqV2SMGlWCdZoJIi3tLpUfhTZSFFvFT7wrN9VUPtC+FV22Em28+by5HaaT6EoNovSbobg9scXW2udP5taJIz07OzXRZmAyzVFMOS3Yzm+MncY9/cKasZiBY1K5oHgZoU+IaOoJeMKvl2X0teT7qzxeBIFU+swKUFC90cROFMnrYT6FC+OxH7+TobO+y1PmfIuQZIbyLkWx7z60DDKu+WFW4hK9RvIeXhmpV6A1MxLFq3ox5Ofnyx/qdb4aUP20wk2bSmZ3vvmb0uytw363A8L4rpZq8afI0x9dv9ds3A3+wyGe1MgReaseRhBd+FQNh0QQmScNMsazr+Yp0Heu86eLYT1LllsHbIaaouvQFj5a8nST5rroUFumUnFrZoQ9y/KF9q6WVHQ/ZKr83pmbRjhvuXvcwVE6dLcbPMVBxJKYjm1Sw4c/rpxnKIW93vkUTa2ePWFfUPNO3xq2oy/Scy6IqgWoOaPg4c0NORUK8fiQwRw8E7RgNmuhr1tn7ao2UD6Ppw0j2hi2q2wp2hXY83sSPWhY0/5hlbtLm0CtQ2M7UCAlPviWzqM8Vd//Z0EKAR+IUfx97PZujSamO/HHdtvxysivvdKi4B9kMreyCPgjtv6pOnqxQpJskan0gkhpl/LlOwr4lHEDvbVASEdKsxxNaT1oFFJ/8MsFBFnYjVJ2k6DzJ0OcZ1dGR/aZvxJg1pYrjh2OZtULfzMwVpdShrWn/89d9c3loYXsu5SPvxZUam/4Xky8UrCDMEsm1SHrxR1whdF+uaUVe3HPWk6Xd/VmpMG0CSCr7gOD/qI9SfbJI+8UZ930mL5k40SM8y3lWgp3T81cjsxuTD1GtwdYz7K84Yz4fHVpRSiBS49deoZs5Q0PfCCWsrFjzZLEaf+4JBJMe4S5X7c2N1S3TBLUbsRVIx2+kXrhb4xhFESuKHmaKKclSLhR6IBcyjVeJnmfG1462sYWNn5ZTWQkRDAsE+PtGjvcNKORPpvE9YcyCk127LIeAR1yRAwur9ZOfpnwrSHXLg3H2HTnQ3ys2D/IAOM0zy7pFNMFrn6tM59dG+kM6weVZVscb8lP8JLi7h3aYAkRyhiOFWOKVXqRHl00pgeHmuzrJBCOANZ7+LquB6+mNNwkMp81uYqdtb6SL6x6kbXT2rXnMMks6k3hTxtE0aCR5u0rTqwzMrAKSneh2QTljUgeGoVZVH7PtfNSV5dk4gv1gH4s9WTdq04bFYoeKDfU32L+8apa6an/PM9Aep3p3dqMYylXV/bmTQaC5keStMI4QQy+A42ucf8RcJ0PM7AdaEpehsOoHF/Q9hdpkEqOvj+diIUNHDaOo23O4VdHZ2hrF71u0PhwfNebxZHwjfJTHN7MAsfBO7R1uLc7PvkZMZaPzLubSVkChjhB4y5TgkoHrOGe0duykHGNUNlBEDpX/WGtOjU/FHWIREtZz6qxr1mDxeldtVmZDyb8ubdO5bqGbcMlwl3t+atRaeJaDAoireHG54xLaihMzQr6J8HMJQU2+3Sm/R2fwuYX6eWiBdy6VX3L8vAfLrX2+xwlF+cw9KaoNkLj3L+fwknT6tmeEnp8w0WxjZsPwLjRgWeFz+sr1mx66e+ts6mL+JCU7pHuE+XlWDaACRdqE1zEpfH7rNdxrzaZTX5ei1cuqEOLBWvYMZrd9Ft3ybXZlf6iz+XJV3BsKN9cBlHB33ulOrQ3fp/MR+lDXOOczod39INSvOUrlGnPfPQHy78tA1V3Xxmj6B0bnTUeK/csRVUSRdW+X6WabFNdSmt+0YxAdtSMalwWWOMZBXugRnUKmMP0o3vqnMFh5fIl9SQeOp/N8xB3mMw0QjzhRWTycLXasez+YHcg0+zOovrLbVB7eeetWlM/RukRfr19nsRz0ysnbOCs2qLvB1KX/S/oy3aPSdw7Kg3SJR4n7s69bsq5J+lxv/WwcqbwYINSDedyS2JsRfr0UxcS7my4Z0+c2OqX5pADlVG2yq3VC5eVU0CJ4g59g+IzPDlQz/fIrSbdmNkJFe9/gAZ5I0GmjvgASddx22M4lM2bRvkQAE9gBCZ2RxeSLB8XwqoreTYdGfC1CxaX5WilXyLH/xFO74ePAOhbJ+wzVgjN53Sn6vYDuj6Dd4eLh56hDifheLU8Dh4+xrjm8IGsqsmDB6ejI3JGu7VoSbdOox8dvry7OXEhvI8AjpFYct3cE2UpsE1rLbV4YvIIzBtCvub4+6Y1jHiQkRCfhinoLmofE4zFODL/g+fqFsdC4YBen5AQK0sovdK6sfBft9DGgspCIAQn0oa1Qf8G0zPIo6lX8NrjczGCTwyd08s79l82z5kX0hV0iGE1vYE/HM0H8ybtRvZbJd4uYQlTuqr4PTnJ1rVbjrSz7VruY4bHvpjcJHUGKI28WUU7g2UuG8FYz7JhLfetYl+tvy5LiHV7UZrLHHY6l7pZM4gQnOUnzMflStwIjbvCMzSsmOXTXaPFuBZlrdeEumDZy+cw9OHqnyDTPcwO5dzJ6s27KuC2FsjszYUF7ZIns/vb+4aa1Crzs0rLkQAotk/uhSbiL9evtRZOIc79snLS7BN9FTUO37cdNorce6Qf5n15M+MlexWRh/890ier56XcTbKCzJL+WMsf5r31O5iVm4nNwVQzkr+F/I+vnVCksSqk8ECye/W2KJGk/rbohfZaRIkBwU0itjIFhoHkIWJiGMcxZbonGFWRj9ISRONLTdZLpBz6FrU27uB7u3Y9A1SvU1K6kBV3ZHGwpTgSIlK4YUG92KjGbHj9mP5BULWyhSXCSJX5iJQ+o3Mj19bxebUMuKnJarLbnMNlZdy9XKXNjLXtHsazy1nL7o5ejB0PkLEuvF8fvNRBGM0cUJYztgV7o2995f6PqiH/aqDdf7Hi17TrjU7eiUsvEj288bD+RtDXU/oilPe4M8DpVZ7/KZwgt3hoV9C9oHrn5LuVVGe2H0Q614cwUSE1tVmKw7J3nb+xZaa+x8A61VwgSCK17EvREGUq0cCvMzT3J8iGFNLUrdOtyarqk5318JmfO+tYlFfZ1UGEEQUNmdsU2YaqssXGWK/HemXYq8bqM91mOrjspOIVwq7isvVewpG8fF6NbX9wTiRB+SdHkrKhpFcFDq3NGHtBoVPjlyiJtDtlAHxxLQJAZP8VZxmsdx9SfyHUBUcAhX7lzwflqwE9maaS3KP20g3mcfrfm1tXWXAVfCoTseWCjTMFjby6XHbRMpslmkKQrq00HbqlB2/y3Na4S3Wz1+v3l6xlyZLi9ZcOvnazqbyGPRMzl7hf4yM+p7AbK6p6FXWu3Q5Iyxfo+orWz4JZjm5Pg3XjSMTDsXOYtcoZaiT7D+QAIPIrSWO0ijVfxXGk+syoKJGlnSKDehj71VU2iHizufuIZNEe3nEkpyE5turzuSI/JOfFxZnd2Zre6t11NjX8AsW8qOK+maFXGN0tTOBw6+iGSe5LuyoIwqH6abPAlMwrfbrmMWsj16FrD0VNG4+RHHWrjEvg2P6cUKZM6kdtUBu8JrwpdtOJ8OX2kZaY68wiCXA5XLeHi70Zp6rdznn3l4qW5fGQeaHwNeYiRYZiKcT4UIpIvF3ah48kbGrU/bq7eTV1eKTzzvsu9Wm3LMe9bwUBRytpmwJwjBOREL3k1H9uvK1XyVU25PdlXXdq3xIzPO+hpMcYaPGM/Z38pe5v+U/BMjvwWVEEEwkNhJVJBn0a2NcU4hcPBq+OvwdhNn7lZnCetDH22nHF9wM21na4GdNvpMl+Nkp6iMxIShmbCpO6qc52uKD9Ma3HlwX/Oc0LwM8eGJYuykKd2irv5PLu44aaOTgtxQ10o6aM+D87G6sFT5aXPIro4jdoP0HWexvruvok06LaW0Zoz/bwnfAK5z8sLTJ6k16p9MznTZ2vVGgkP56tsm7DogIlTyQMruVNPiOBQBoYs7XppB2dCyTe3uC00BRJiELYvvu1J205Rr39RHCPSkKp/8XTZQoPJDpTcsNKq0e/b5BnSb2htMZ5FR8ZP/JRdrex9mobK3KEpvbzrIaH3eHrzbf1FDjXZ1uCu/j6lCIKTuZMCda1Zfce6x7r1lk34moM2W5GBykQHxjQ+ixP2N9ZvyEympcRcBF2zvYf9VVYFTd/nartc/shu6294g4A8mHA+4GFZIOWKrrCzfSH4COV+X1wkN4Biq/7QY3mr8zhAa8HMN0dnclFEfiY+tlzn0Oq7lBmd9G1KD5aEMIqM6+Yr0tdDlViSbkSVmlPFC+ova0rL57MaF0UCBG++QtPs4J2YWK29CEmSHTeP/nnzMkm0/nV0oFugDkbOW7Y6nHc1yE4Zr+OxNWk7ppdB0a22AMHVeNZbknpxdO3h8els/gCjdhDudkiBfjKnOAZDjnviru4jreVwb/5oPJZZ+pU7D9tmnfT5B6PUtC6P9qGDi2/Kj+vkO++HtAolqbGJmQjWAOXWCXCP+T5oGUyGAunYBicrx2W3g76iNxd3Q7xQ962WZypY33leiOl9FPR/kheI2R4KEKU8KDRdGSqv46uiLH5V9fz1BZN4dJ0JOjjrxXR5n/f658GeZELj/Bhl0Qt1N4cVE4IeCtF37PER6TGcfjXxDZ3RRI9TP6pXrM1K5KVvkRZUE+h4fF7idqLFlIasLgFIv44WIr/uZluNWPUa4L4zuxOmN5tIH+lCJhjzLO75wQ1Dyw7asQyUrozT3S9EP7mC13vaQM+pZsleS/uzkB+EPdQJyIVMc0vNwuJr5U/CwlepHmTeY9aKdIjAL+/dKOoqXyenUojJMa5KAUxxgU/YOPq0/GwNtPw/Fb5dPXRXCc9JjiLzP+IMvOyRkBS8nC5tXbej91CC8AWodvLJkwyIlkRyIiSPzZv15caQDsc3NNXWpeS7MCmzCQRGJnojkD4yJ2FlF8viT5V64nJBzmbnzsWF5e24Q+bVXCEv95hKaHLIqbtkTEpfzuguSGijoE4L6BkyEYoIOZLMuwz0X9PGMVzmqVBqST5V8doD3TUCokxojIRvr9VhjEtzrlAE3c2+rxR5rTNx1MVQeg+6Jxa44QQWaSc/WTxRrlTHm5msmao9+rniavKoO6M9TvrkkiuHz9my3zgkK0Xnxoz0zunvxR1LK1kbxOuVJ4t87+RVuilSF+KObMVjf7Wk2Ue2dZVvo0cA+2n7npglg/31km2wv4AktYFQT/FnnTpYYJ787Jv+ga2JmoZrzBQ7jmt4VtEldgedNy43W7cqbbaEZcbPhtP6+PApdjCMXRU1lqM5tZF09wt+luspFHHoJGoGL26SYkoaZj0IQsKnHtI3C9mtjncf6piqUQ8CRa9G+Jw1PwubScrZp/mXvwJQjJ31NB6LYCIaK69aCpwqwku6/dhK678c7yVME+f3D1hST2pHO+bjxlncoq7jmUWJijtTL/1MvssRQKiR9BCHv8prxO8YXY322i3WyJNR06JcXYuYvT6861h6s/mB2NidMBwX/sVxRyMBswe34snwRu7f4XpVczooW7b2wVP3c24dGFEhFcV+pie6pL8W6tltMxalCoxm1VoUiRobYrP+PP7d4dFPSWCtvWoft7Qrm+zPQXvIjGC2szp6d0p5aDtoNfqG3vev27a3BolKXZMyfJuWyjTFaJXTtC6V8YQ8a3JdbhNWfhg0es/+wuAH87iy9nHhUWITjVeG541PHSVMYWpNi9nXOUkfs4WuqSbLDYf7NUrb4pP3knj84Dhjma82ttyFTBNY7QfDcKPZ1NNN6J1ilyoJQr2jDzAeXlNS7lCDRBr3B942t18aQ9mSK57Z8a2/0Qu3mkVUe33iEvM8XBUzf6lM0amixaxHSPcmwj6b20HB08q+xDRzqMtyK+DxdgxI7fsmszW5oohH1Y3+Fb1sj4lqxkbhax4kxD7nn42bFs+HgHMfb9vdPcm+Zpnt4z2aNMWODwNVLThPiaZDDRV3bLl7wxR8E2Sve5vJdR5ErsmdJ1aveyt86b1qNlk+J/r9SqFbQ7of4pt2IOOtZCdejmDl9IpvObiuUB7xfj+VSABagL/Q7r629RCnaxj3C1tGwCmX+96gHzWr3ILID2B9LG132zPrqRcpd3imMgV8X+nFN9foTZ8LUxiWddWTe73d2CZiiTToJTr2VHIYS1xpuzS6bM3LZpupQGTbHZz4SDfXZmh6Tz1Unbn+ZmgrytWtzFmH5JUCgUIXjPP1U5HUDET3YBTG6PRLDwdT0C7PhpCrYf/Z4tzrCrY7wg3uxBmqsCTRM76euRp06YNDLnqi27XNpd8yPq3bRRq8pD8+qDFC3Mp36j0BJNDR+xB60OFQLAauPOYQpNLyeah7uyA6dP1i9ZRGdYuQfxVmKjxBKatDi6LiuS0QdB/Sb/qpSGqC3mROeLxJbgAUOfM2mY2808Cs5WmI3uW38cR7vHo+P1oEIU1HTpCUSgvOi6UPs7OjVPE7W7Lb4rdSLO5k1p+cvT3Y4lcURQ5qLqlFpwrlyF+8i85cJrUCowXrdXnXXxq31AHGJROuhhvlZY2ZJ+g/sW24LAGYqxyuPXWrOPSAftT1wvSscTvyqyzmZt/usinr2vAgHvb+yki1nGHLtzlnJo/Ch0oHVr5gbOTMw3lbqZir2W3rTFl7doz09vTKptsL6W0T7eyJLZkUeD+OoMKr8c79mXFOcmZ06zrdg++bSQupouV3WN7ZlmSopq3hN2WfkS1B9AXqRhuvHymb6dVcFEzgOjqJ2X7Gych70/ry+OGb7XwS4ZKPJu4KCQ480ZD9+Nye+Vrwgxafx4/pqmqDpx0axTLjVIK3Srrv39Tqb3Fv26sgUhOQgYl+ehYqIhwhEpua3liN23olDKemuqodPFsv8LaLq3tpCg/hUzBLN1kK0ZxeIJBsT9bjlPNfZgZGCgvEHPUH7OzMrAs92fLRHel8n0++FUGalYtaiokuTmYxlwg+v7v49iWfpivpwRsZPhL1qXJfQ8mOomo2tB9KZcWBL0ogf/NypeUuER8DjWJbKW/HPJJ2/FlY1vlIQ3dpTV2RxVZgAeR/APNKdJcKZW5kc3RyZWFtCmVuZG9iagoKMjggMCBvYmoKPDwvVHlwZS9Gb250RGVzY3JpcHRvci9Gb250TmFtZS9CRFhNVE8rQ01TWTEwL0ZsYWdzIDQvRm9udEJCb3hbLTI5IC05NjAgMTExNiA3NzVdL0FzY2VudCA3NTAvQ2FwSGVpZ2h0IDY4My9EZXNjZW50IC0xOTQvSXRhbGljQW5nbGUgLTE0L1N0ZW1WIDQwL1hIZWlnaHQgNDMxL0NoYXJTZXQoL21pbnVzL3BlcmlvZGNlbnRlcmVkKS9Gb250RmlsZSAyNyAwIFI+PgplbmRvYmoKCjI5IDAgb2JqCjw8L0xlbmd0aCA2OTYvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjabVRNb+IwEL3nV3gPldoDxR8kgQoh2QmROGxblWq1V0hMNxJJUAiH/vv1GxOsVj0QTZ7fzLzxC3P363U70VW3txP1yNmbPXeXvrST7PfuFN3d5V15aWw7PFtb2Wo8PT+x174rt3Zg99km37T18ODIm7Y8Xio7sn4mGftRt4GCPuz+3f6dlE1TCz7ZX+rjULcTDvJ7PRwd6cdz5kD2FWSU9Mf257prn5h45Jw7YN1WWddgjHM0vUph01HcoW6r/qqH7aEuEpJVdTlc3+hZNu4+kLz9PA+22bSHLlou2fTNHZ6H/pM0PkTTl76yfd1+sPuv0tzR9nI6HS1kMB6tVqyyB1fRzf+8ayyb/jjjjfP+ebJM0rvwusqusufTrrT9rv2w0ZLzFVsWxSqybfXtTHKfsj+M3NRx+RwPpeOVAwziNQFGOECgmog9kABAivApJgewAKAJyDgA1BC5BxSAwsVSeCB1gES6XBBqMgBIl4YAqqHQVoHBuQIwQ3pMXfgMwmKwY3SRSQIdCRipZyRgaHTRizCcxlxGhOGMAjAPwxmkGxOGc+ockIfhDGpkPAyXSQDqNpy79fF6Z/Pxust/u/7qDFcLpHHIkJKjK5cenyP2lRYG8czHa8TeAg0NLoliqnOdj3LpFoWkmgXhBeYWxOeGYu9tjlj6voRL3zfHtUjfN0cd6fsWhPu+bmIXpz4mDmrK2JC15HWcga+8GRL6lfEx3FaZ95Xi3OMF4rXHiU91JNWfcX9X6BtTLyUxe1z4GHhCHCGAp9RLKGhIqZdU0JbmnoO7SqkOz4HPr3YC19zrwT1rEfzSMvilVfBLz4JfOg5+6ST4pdPgl9bBL50Hv4wMfplF8CsTN7/oy6IvCf9s7KHb0igvfe/2CS0rWhNYEHVrb/vs1J2QRT9ahOPmxdtLEf0Hce2DxAplbmRzdHJlYW0KZW5kb2JqCgozMCAwIG9iago8PC9MZW5ndGggNjk1L0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42m1UTW/iMBC951d4D5XaA8UfJIEKIdkJkThsW5VqtVdITDcSSVAIh/779RsTrFY9EE2e38y88Qtz9+t1O9FVt7cT9cjZmz13l760k+z37hTd3eVdeWlsOzxbW9lqPD0/sde+K7d2YPfZJt+09fDgyJu2PF4qO7J+Jhn7UbeBgj7s/t3+nZRNU88n+0t9HOp2wsF9r4ej4/x0zBzGvmCMUv7Y/lx37RMTj5xzB6zbKusazHCOplcdbDoqO9Rt1V/FsD2kRUKyqi6H6xs9y8ZdBpK3n+fBNpv20EXLJZu+ucPz0H+Swodo+tJXtq/bD3b/RZk72V5Op6OFCsaj1YpV9uAKutmfd41l058GvFHeP0+WSXoXXlXZVfZ82pW237UfNlpyvmLLolhFtq2+nUnuU/aHkZs6Lp/joXS8coBBvCbACAcIVBOxBxIASBE+xeQAFgA0ARkHgBoi94ACULhYCg+kDpBIlwtCTQYA6dIQQDUU2iowOFcAZkiPqQufQVgMdowuMkmgIwEj9YwEDI0uehGG05jLiDCcUQDmYTiDdGPCcE6dA/IwnEGNjIfhMglA3YZztz5e72w+Xnf5b9dfneFqgTQOGVJydOXS43PEvtLCIJ75eI3YW6ChwSVRTHWu81Eu3aKQVLMgvMDcgvjcUOy9zRFL35dw6fvmuBbp++aoI33fgnDf103s4tTHxEFNGRuylryOM/CVN0NCvzI+htsq875SnHu8QLz2OPGpjqT6M+7vCn1j6qUkZo8LHwNPiCME8JR6CQUNKfWSCtrS3HNwVynV4Tnw+dVO4Jp7PbhnLYJfWga/tAp+6VnwS8fBL50Ev3Qa/NI6+KXz4JeRwS+zCH5l4uYXfVn0JeGfjS102xnlpe/dOqFVRWsCC6Ju7W2bnboTsuhHa3Bcunh7KaL/1N6C9wplbmRzdHJlYW0KZW5kb2JqCgozMSAwIG9iago8PC9MZW5ndGggNzM5L0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42m1VTW/iMBS851d4D5XaA8V2SAJVhGTnQ+KwbVWq1V4hMd1IkKAQDv336/EjeNn2ABo/j59n7MHc/XhdT1Tdbc0kfOTszZy6c1+ZSfZzcwzu7vKuOh9MOzwbU5t6nD09sde+q9ZmYPfZKl+1zfBgyau22p9rM7K+J2nz0bSegn3Y/bv5PakOveCT7bnZD0074eC+N8Pecr6bZrbGbmrMLfll+lPTtU9MPHLObaFo66w7wMMpmF50sOmobNe0dX8Rw7aQFgjJ6qYaLiP3XR3sYWDx+vM0mMOq3XVBmrLpm508Df2nU/gQTF/62vRN+8Hub5TZmfX5eNwbqGA8WC5ZbXa2ofX+vDkYNv3O4JXy/nk0TLqxIFVVV5vTcVOZftN+mCDlfMnSslwGpq3/m0toxXY3UhNL5XN8hSpaBqkMLZYxCtxiW8BkqKkwt4WwtDiigsVBGguLE+UKFgdpgskkQyMu0EOhh1pcd7G6RgXJfFRU/dn0F+08XGAZR2MpeQwsqQ4FPCSsgWeEC+CIduDAMWHX57KzWwudUkjXk0zEMT4YZ368wDj34wzj4h/+yClva+AJ50GEOAsBD/YkE2BJXOgTzgPXM2DnQWaO4zzIHFoFXYPCIYuE6gp4Tmsdx3njuePQHRTwIpw3EcG/IF+l45OnzHEK4khg8uH2lYJuG/qlpGvMgRPC8B1STwVOSD1DcEI6Iw090SUCOJOIOBE4UUF+oSEqyRd6xpz40JDkVAc/IX6OPgnpdHepOOnEeSrhc6Okz40KfW7UzOdGRT43Kva5UYnPjVI+N4qyoqBHXbw7fu7zpIrbPKnyNk+a3+ZJi6950vJrnnTo86RnPk868nnSsc+TTnye9NznSS98nrTyedLa50lnPk8693nShc+TLn2eMu7zlAmfp0z6PGWz6525X777peNtwjt6ffWqc9/bB9E9tu6hwxPXtOb6Hh+7I1a5j3vIx78NjF7K4C/x86hQCmVuZHN0cmVhbQplbmRvYmoKCjMyIDAgb2JqCjw8L0xlbmd0aCA3MzkvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjabVVNb+IwFLznV3gPldoDxXZIAlWEZOdD4rDbqlSrvUJiupEgQSEc+u/X40dw2fYAGj+Pn2fswdz9eFlPVN1tzSR85OzVnLpzX5lJ9nNzDO7u8q46H0w7/DKmNvU4e3piL31Xrc3A7rNVvmqb4cGSV221P9dmZH1P0ua9aT0F+7D7N/NnUh36+WR7bvZD0044qG/NsLeUb2aZLbHPJeYW/Db9qenaJyYeOee2ULR11h1g4BRMLyLYdJS1a9q6vyhhW+gKhGR1Uw2XkfuuDvYksHj9cRrMYdXuuiBN2fTVTp6G/sPpewimz31t+qZ9Z/efhdmJ9fl43BuIYDxYLlltdraf9f1rczBs+o27K+Pt42iYdGNBmqquNqfjpjL9pn03Qcr5kqVluQxMW/83l9CK7W6kJpbK5/gKVbQMUhlaLGMUuMW2gMlQU2FuC2FpcUQFi4M0FhYnyhUsDtIEk0mGRlygh0IPtbjuYnWNCpL5qKj6u+kv2nm4wDKOxlLyGFhSHQp4SFgDzwgXwBHtwIFjwq7PZWe3FjqlkK4nmYhjfDDO/HiBce7HGcbFJ/7IKW9r4AnnQYQ4CwEP9iQTYElc6BPOA9czYOdBZo7jPMgcWgVdg8Ihi4TqCnhOax3HeeO549AdFPAinDcRwb8gX6Xjk6fMcQriSGDy4faVgm4b+qWka8yBE8LwHVJPBU5IPUNwQjojDT3RJQI4k4g4EThRQX6hISrJF3rGnPjQkORUBz8hfo4+Cel0d6k46cR5KuFzo6TPjQp9btTM50ZFPjcq9rlRic+NUj43irKioEddvDt+7vOkits8qfI2T5rf5kmLr3nS8muedOjzpGc+TzryedKxz5NOfJ703OdJL3yetPJ50trnSWc+Tzr3edKFz5MufZ4y7vOUCZ+nTPo8ZbPrnblfvvul423CK3p99Kpz39v30D217qHDE9e05voaH7sjVrmPe8bHfwyMnsvgH8EAp4MKZW5kc3RyZWFtCmVuZG9iagoKMzMgMCBvYmoKPDwvTGVuZ3RoIDkwMC9GaWx0ZXIvRmxhdGVEZWNvZGU+PgpzdHJlYW0KeNptVU1v2zoQvOtXsIcA6cE1PyRSLgwDpGQDOfQDTfDwro7E5AmIZUO2D/n3j7Nrm22RQ4zVcLk7OxyGd59+Ps58v3+OM/NFil/xuD9PXZw137aH4u6u3XfnXRxP32PsY39dPX4VP6d99xhP4r55aB/G4fQ5JT+M3du5j9esj5NCfB3GnII+4v4p/jvrdsd3JWfP5+HtNIwzieSn4fSWkj5cFwkUf4KCNv0Tp+OwH78K9UVKmYD12Df7HcY4FvMLFTG/knsZxn668BHPYFcoLfqhO12+6LfbJT2w+fH9eIq7h/FlXyyXYv4rLR5P0ztx/FzMf0x9nIbxVdz/SS0tPZ4Ph7cIGkIWq5Xo40uqmOb/vt1FMf9wxlvO0/shCk3finl1+z4eD9suTtvxNRZLKVdiudmsijj2f61px1ueX665dcqVTfrRelGtiqXSKVaGgNoCKAFUBNgSgAXgAHi/AeABBN6iAaCeanmLB7AGsCHAAdDUAJW1WhgA1MAy4ABQPSKmWmQY1DBcw4NHqVJcobeUKS6WFTIqztCoYSGEVbwFxCyGs9TbSPCwoGArBmoA0MMuALg1AAdOzrFA6OKw6NBWSy0T4AF4nyX0mNwzD5oloEGwWdOAeqHOmgbUCD5rGlAjrLOmAfUamTVtMFejb5qmw76eaq2up9z9t50uhtBaoY5UJFgAL6kpbinmI1cUl4RvKOaTb8BSWt4LGSRLonA0ko5ati1i4lytMabcsErkCeZQIkfxkVjUUayCaRAvOAe6a8legMJacYw6WnOMvZo5lGSgmq1C+QuOKd9zTPkt7wU3veZ4gZjPSoGbob7SYK9hnsm9KWalySSGtZIBMZm4CmTRimOqQ1oZQ/k8owQ3wzNKymfzesxu+P5IGMiw7RXhzFmBf8maGORUnK9hhYrvr8YsFV+7Gpwtn5cDT+s4BjfLfR3q20sd1LTcl0xsuW9L8ZryK8pnrUrM4i6+AgdHWnkD87qLVvCPY600OLiS7wS85NhXdPldzTpQfmCP4Ywc8bGWclqOcS5uzTFdxw3H4FP/5hkvqQ7fUJX973X2vzfZ/77M/vdV9r+32f/eZf/7Ovs/yOz/oLL/g87+Dyb7P5TZ/yFk/4cm+78xeZamvM1It5xuNf654ym6vRvdeZrSk0LvFb0UeCOGMd6etMP+gF30R2/h9fHF149N8T+uWOoeCmVuZHN0cmVhbQplbmRvYmoKCjM0IDAgb2JqCjw8L1R5cGUvQ2F0YWxvZy9QYWdlcyAxMyAwIFI+PgplbmRvYmoKCjM1IDAgb2JqCjw8L1Byb2R1Y2VyKHBkZlRlWC0xLjQwLjI1IFwoQ3JvcHBlZCBieSBwZGZDcm9wTWFyZ2lucz49Mi4wLlwpKS9DcmVhdG9yKFRlWCkvQ3JlYXRpb25EYXRlKEQ6MjAyMzEyMDkxNDQ4NTIrMDEnMDAnKS9Nb2REYXRlKEQ6MjAyMzEyMDkxNDQ4NTIrMDEnMDAnKS9QVEVYLkZ1bGxiYW5uZXIoVGhpcyBpcyBwZGZUZVgsIFZlcnNpb24gMy4xNDE1OTI2NTMtMi42LTEuNDAuMjUgXChUZVggTGl2ZSAyMDIzXCkga3BhdGhzZWEgdmVyc2lvbiA2LjMuNSkvcGRmQ3JvcE1hcmdpbnNSZXN0b3JlRGF0YShbWzAuMCwgMC4wLCA2MTIuMCwgNzkyLjBdXSk+PgplbmRvYmoKCnhyZWYKMCAzOAowMDAwMDAwMDEyIDAwMjU2IGYgCjAwMDAwMDAwMTYgMDAwMDAgbiAKMDAwMDAwMDAzNyAwMDAwMCBuIAowMDAwMDAwMDU4IDAwMDAwIG4gCjAwMDAwMDAxMDcgMDAwMDAgbiAKMDAwMDAwMDI1NSAwMDAwMCBuIAowMDAwMDAwMzkxIDAwMDAwIG4gCjAwMDAwMDE5NzYgMDAwMDAgbiAKMDAwMDAwMjEyMyAwMDAwMCBuIAowMDAwMDAyMjY2IDAwMDAwIG4gCjAwMDAwMDI0MTMgMDAwMDAgbiAKMDAwMDAwMjU1OCAwMDAwMCBuIAowMDAwMDAwMDM2IDAwMDAxIGYgCjAwMDAwMDI3MDQgMDAwMDAgbiAKMDAwMDAwMjc1NyAwMDAwMCBuIAowMDAwMDAzNDEyIDAwMDAwIG4gCjAwMDAwMDM0NDMgMDAwMDAgbiAKMDAwMDAwMzQ2OCAwMDAwMCBuIAowMDAwMDA0MDU3IDAwMDAwIG4gCjAwMDAwMDQ0MzQgMDAwMDAgbiAKMDAwMDAxMjA4NSAwMDAwMCBuIAowMDAwMDEyMjk3IDAwMDAwIG4gCjAwMDAwMTk0MzAgMDAwMDAgbiAKMDAwMDAxOTYzMyAwMDAwMCBuIAowMDAwMDMxMTEzIDAwMDAwIG4gCjAwMDAwMzEzODcgMDAwMDAgbiAKMDAwMDAzOTAzNiAwMDAwMCBuIAowMDAwMDM5MjgwIDAwMDAwIG4gCjAwMDAwNDYzMjAgMDAwMDAgbiAKMDAwMDA0NjU0MyAwMDAwMCBuIAowMDAwMDQ3MzA5IDAwMDAwIG4gCjAwMDAwNDgwNzQgMDAwMDAgbiAKMDAwMDA0ODg4MyAwMDAwMCBuIAowMDAwMDQ5NjkyIDAwMDAwIG4gCjAwMDAwNTA2NjIgMDAwMDAgbiAKMDAwMDA1MDcxMCAwMDAwMCBuIAowMDAwMDAwMDM3IDAwMDAxIGYgCjAwMDAwNTEwMzcgMDAwMDEgZiAKCnRyYWlsZXIKPDwvU2l6ZSAzOC9JbmZvIDM1IDAgUi9Sb290IDM0IDAgUi9JRFs8QjM2NzBEMzQxMTlBQUM1OUVDOTIzNzg1NTUyN0VBMjA+PDRFNTI2MDk4RTZGMTAxQTU3NEM4QUQyRERFRjM1NkY0Pl0+PgpzdGFydHhyZWYKNTEwMzcKJSVFT0YK" | https://arxiv.org/abs/2212.14236 | arxiv | 2023-01-02T02:05:51 | |
A virtual mesh displacement between $t^{p-1} = (p-1) \Delta t$ and $t^p = p \Delta t$. | \documentclass{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{math}
\usetikzlibrary{decorations.pathreplacing}
\usepackage{amssymb,amsfonts,amsthm}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}[scale=1]
\tikzmath{\xl=0; \xr = 12; \y=-4; \yf=-8;}
% 1st picture: initial
\draw[gray, thick] (\xl,0) -- (\xr,0);
\filldraw[black] (\xl,0) circle (2pt) node[below]{0};
\filldraw[black] (\xr,0) circle (2pt) node[below]{1};
\draw[dashed] (5,0.2) -- (5,-0.2) node[below]{$x_{K+\frac{1}{2}}$};
\draw (3,+0.2) -- (3,-0.2) node[below]{$x_{K-\frac{1}{2}}$};
\draw (7,0.2) -- (7,-0.2) node[below]{$x_{K+\frac{3}{2}}$};
\draw (9,0.2) -- (9,-0.2) node[below]{$x_{K+\frac{5}{2}}$};
\draw[very thick,blue] (5.7,0.5) -- (5.7,-0.7) node[below]{$X^{p-1}$};
\draw [decorate,decoration={brace,amplitude=5pt,raise=4ex}]
(3,0) -- (5.7,0) node[midway, yshift=3em]{$c_{i,K}^{p-1}$};
\draw [decorate,decoration={brace,amplitude=5pt,raise=4ex}]
(5.7,0) -- (7,0) node[midway, yshift=3em]{$c_{i,K+1}^{p-1}$};
\draw [decorate,decoration={brace,amplitude=5pt,raise=4ex}]
(7,0) -- (9,0) node[midway, yshift=3em]{$c_{i,K+2}^{p-1}$};
% below
\draw [decorate,decoration={brace,amplitude=5pt,raise=8ex}]
(5.7,0) -- (3,0) node[midway, yshift=-5em]{$\Delta_K^{p-1}$};
\draw [decorate,decoration={brace,amplitude=5pt,raise=8ex}]
(7,0) -- (5.7,0) node[midway, yshift=-5em]{$\Delta_{K+1}^{p-1}$};
\draw [decorate,decoration={brace,amplitude=5pt,raise=8ex}]
(9,0) -- (7,0) node[midway, yshift=-5em]{$\Delta_{K+2}^{p-1}$};
% Second picture: intermediate
\draw[gray, thick] (\xl,\y) -- (\xr,\y);
\filldraw[black] (\xl,\y) circle (2pt) node[below]{0};
\filldraw[black] (\xr,\y) circle (2pt) node[below]{1};
\draw[dashed] (5,\y+0.2) -- (5,\y-0.2) node[below]{$x_{K+\frac{1}{2}}$};
\draw (3,\y+0.2) -- (3,\y-0.2) node[below]{$x_{K-\frac{1}{2}}$};
\draw (7,\y+0.2) -- (7,\y-0.2) node[below]{$x_{K+\frac{3}{2}}$};
\draw (9,\y+0.2) -- (9,\y-0.2) node[below]{$x_{K+\frac{5}{2}}$};
\draw[very thick,blue] (6.3,\y+0.5) -- (6.3,\y-0.5) node[below]{$X^{p}$};
\draw [decorate,decoration={brace,amplitude=5pt,raise=4ex}]
(3,\y) -- (6.3,\y) node[midway, yshift=3em]{$c_{i,K}^{p,\star}$};
\draw [decorate,decoration={brace,amplitude=5pt,raise=4ex}]
(6.3,\y) -- (7,\y) node[midway, yshift=3em]{$c_{i,K+1}^{p,\star}$};
\draw [decorate,decoration={brace,amplitude=5pt,raise=4ex}]
(7,\y) -- (9,\y) node[midway, yshift=3em]{$c_{i,K+2}^{p,\star}$};
% below
\draw [decorate,decoration={brace,amplitude=5pt,raise=8ex}]
(6.3,\y) -- (3,\y) node[midway, yshift=-5em]{$\Delta_K^{p,\star}$};
\draw [decorate,decoration={brace,amplitude=5pt,raise=8ex}]
(7,\y) -- (6.3,\y) node[midway, yshift=-5em]{$\Delta_{K+1}^{p,\star}$};
\draw [decorate,decoration={brace,amplitude=5pt,raise=8ex}]
(9,\y) -- (7,\y) node[midway, yshift=-5em]{$\Delta_{K+2}^{p,\star}$};
% Third picture: final
\draw[gray, thick] (\xl,\yf) -- (\xr,\yf);
\filldraw[black] (\xl,\yf) circle (2pt) node[below]{0};
\filldraw[black] (\xr,\yf) circle (2pt) node[below]{1};
\draw (5,\yf+0.2) -- (5,\yf-0.2) node[below]{$x_{K+\frac{1}{2}}$};
\draw (3,\yf+0.2) -- (3,\yf-0.2) node[below]{$x_{K-\frac{1}{2}}$};
\draw[dashed] (7,\yf+0.2) -- (7,\yf-0.2) node[below]{$x_{K+\frac{3}{2}}$};
\draw (9,\yf+0.2) -- (9,\yf-0.2) node[below]{$x_{K+\frac{5}{2}}$};
\draw[very thick,blue] (6.3,\yf+0.5) -- (6.3,\yf-0.5) node[below]{$X^{p}$};
\draw [decorate,decoration={brace,amplitude=5pt,raise=4ex}]
(3,\yf) -- (5,\yf) node[midway, yshift=3em]{$c_{i,K}^{p}$};
\draw [decorate,decoration={brace,amplitude=5pt,raise=4ex}]
(5,\yf) -- (6.3,\yf) node[midway, yshift=3em]{$c_{i,K+1}^{p}$};
\draw [decorate,decoration={brace,amplitude=5pt,raise=4ex}]
(6.3,\yf) -- (9,\yf) node[midway, yshift=3em]{$c_{i,K+2}^{p}$};
% below
\draw [decorate,decoration={brace,amplitude=5pt,raise=8ex}]
(5,\yf) -- (3,\yf) node[midway, yshift=-5em]{$\Delta_K^{p}$};
\draw [decorate,decoration={brace,amplitude=5pt,raise=8ex}]
(6.3,\yf) -- (5,\yf) node[midway, yshift=-5em]{$\Delta_{K+1}^{p}$};
\draw [decorate,decoration={brace,amplitude=5pt,raise=8ex}]
(9,\yf) -- (6.3,\yf) node[midway, yshift=-5em]{$\Delta_{K+2}^{p}$};
\end{tikzpicture}
\end{document} | 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oKplY5TUY5YOgS42CntgEzT7vCzLAi8lw+rcRKInwDgWvcconz+U4ptL4ibkyhyQ5vn8xOKXKswIO/8JCcxSQOXwzgN4+VYkfIrfOaaHroQ7FbKXRhCRMAYXwDOfI3pRCIjzDt6E7a6Vnrsz6kogCbztbwIYDNHA85vIRd/xE21vfnOUzHAVQ0BxcJ3w8e3fWrlWV7uAS+Od37qBPuwf08NvXypa6T215885HAqMoFjkeItoYGXK3wn0uygy7gB67Q4axfEQ82LoMe7xqpCT08TNoDq52juMJCh/IvemxB/Ksym2LVAG65bM4zGSA5zucjkm3iNiQbhELwmw0uoQFgZ2Gc9xBYHyZLz+CO6tAz8UL3FWtp+JuzmAdx7adD4dffrCF4whNFlABzVGgK7lv8bfd8azg4D36DRUtfTilD8GGDgNG4y9g0LE/Fg2cajYY57jc6IA9UebHIsoSnMG2g6aB+h2UslrogrvOJrEPsNFK1vl+09CkWTpGU2lmo42vKQy8Z5uCE4fEG2X2EDg9vpnjCpub0ieE5rFjki70DdMeizcdmgEilYzZPivO6hScSPgRPWQ8qaIFwGOE5C28/DVh/SUde7ls8lKwqbaSEVaEgwOkZ6jTvGIHONICBqZYpurOlKkPILOsaeC+UYvBPWPNSBNTz9KiwLqbFrFxsfbb+0cM7HJsct9crMv0EK6+kNoTRqFqVaXXf2ixgjOccazdEw7VelssW+v9R6IAHtUpwh0raJRbVv0E7qhYCthRXSUTVH4JR6xUC9Cxsk7KrAEgq6xbEI6x7kJ4xloRMsKaForDaLOO6zWerPjaEuX89nqNh0iBHgJtTGbtWlXpOdB7Jc3a+XCo11s4WDQG8wIGTi7n4GR1qiWFF7SWPlb8OAR4reQQ4IWVbLAK3BDHyzWHJy/tTJmaAGaWOgYBT9ZhCHiydoRtPmpc2DYdbOmzip3Kax+Cpwc4lU+3T+G5a31CeA5qtvRhULQxHAd4wp9/iit3/fo/BK+uHQplbmRzdHJlYW0KZW5kb2JqCgo3IDAgb2JqCjw8L1R5cGUvRm9udC9TdWJ0eXBlL1R5cGUxL0Jhc2VGb250L1ZRREdPUStTRlJNMTAwMC9Gb250RGVzY3JpcHRvciAzNyAwIFIvRmlyc3RDaGFyIDQ4L0xhc3RDaGFyIDQ5L1dpZHRocyAyMyAwIFIvRW5jb2RpbmcgMjIgMCBSL1RvVW5pY29kZSA0NCAwIFI+PgplbmRvYmoKCjggMCBvYmoKPDwvVHlwZS9Gb250L1N1YnR5cGUvVHlwZTEvQmFzZUZvbnQvSkZSRUVYK0NNTUkxMC9Gb250RGVzY3JpcHRvciAyNSAwIFIvRmlyc3RDaGFyIDg4L0xhc3RDaGFyIDEyMC9XaWR0aHMgMjEgMCBSL1RvVW5pY29kZSAzOCAwIFI+PgplbmRvYmoKCjkgMCBvYmoKPDwvVHlwZS9Gb250L1N1YnR5cGUvVHlwZTEvQmFzZUZvbnQvQ1VRQk1GK0NNTUk3L0ZvbnREZXNjcmlwdG9yIDI3IDAgUi9GaXJzdENoYXIgNTkvTGFzdENoYXIgMTEyL1dpZHRocyAyMCAwIFIvVG9Vbmljb2RlIDM5IDAgUj4+CmVuZG9iagoKMTAgMCBvYmoKPDwvVHlwZS9Gb250L1N1YnR5cGUvVHlwZTEvQmFzZUZvbnQvVE1OSEpHK0NNUjcvRm9udERlc2NyaXB0b3IgMzMgMCBSL0ZpcnN0Q2hhciA0My9MYXN0Q2hhciA1MC9XaWR0aHMgMTkgMCBSL1RvVW5pY29kZSA0MiAwIFI+PgplbmRvYmoKCjExIDAgb2JqCjw8L1R5cGUvRm9udC9TdWJ0eXBlL1R5cGUxL0Jhc2VGb250L09DR0pLQytDTVI1L0ZvbnREZXNjcmlwdG9yIDMxIDAgUi9GaXJzdENoYXIgNDkvTGFzdENoYXIgNTMvV2lkdGhzIDE4IDAgUi9Ub1VuaWNvZGUgNDEgMCBSPj4KZW5kb2JqCgoxMiAwIG9iago8PC9UeXBlL0ZvbnQvU3VidHlwZS9UeXBlMS9CYXNlRm9udC9QWEJHSEwrQ01TWTcvRm9udERlc2NyaXB0b3IgMzUgMCBSL0ZpcnN0Q2hhciAwL0xhc3RDaGFyIDAvV2lkdGhzIDE3IDAgUi9Ub1VuaWNvZGUgNDMgMCBSPj4KZW5kb2JqCgoxMyAwIG9iago8PC9UeXBlL0ZvbnQvU3VidHlwZS9UeXBlMS9CYXNlRm9udC9PUVlIUFErQ01SMTAvRm9udERlc2NyaXB0b3IgMjkgMCBSL0ZpcnN0Q2hhciAxL0xhc3RDaGFyIDEvV2lkdGhzIDE2IDAgUi9Ub1VuaWNvZGUgNDAgMCBSPj4KZW5kb2JqCgoxNSAwIG9iago8PC9UeXBlL1BhZ2VzL0NvdW50IDEvS2lkc1s1IDAgUl0+PgplbmRvYmoKCjE2IDAgb2JqCls4MzMuM10KZW5kb2JqCgoxNyAwIG9iagpbODkyLjldCmVuZG9iagoKMTggMCBvYmoKWzY4MC42IDY4MC42IDY4MC42IDY4MC42IDY4MC42XQplbmRvYmoKCjE5IDAgb2JqCls4NzcgMzIzLjQgMzg0LjkgMzIzLjQgNTY5LjUgNTY5LjUgNTY5LjUgNTY5LjVdCmVuZG9iagoKMjAgMCBvYmoKWzMzOS4zIDg5Mi45IDU4NS4zIDg5Mi45IDU4NS4zIDYxMC4xIDg1OS4xIDg2My4yIDgxOS40IDkzNC4xIDgzOC43IDcyNC41IDg4OS40IDkzNS42IDUwNi4zIDYzMiA5NTkuOSA3ODMuNyAxMDg5LjQgOTA0LjkgODY4LjkgNzI3LjMgODk5LjcgODYwLjYgNzAxLjUgNjc0LjggNzc4LjIgNjc0LjYgMTA3NC40IDkzNi45IDY3MS41IDc3OC40IDQ2Mi4zIDQ2Mi4zIDQ2Mi4zIDExMzguOSAxMTM4LjkgNDc4LjIgNjE5LjcgNTAyLjQgNTEwLjUgNTk0LjcgNTQyIDU1Ny4xIDU1Ny4zIDY2OC44IDQwNC4yIDQ3Mi43IDYwNy4zIDM2MS4zIDEwMTMuNyA3MDYuMiA1NjMuOSA1ODguOV0KZW5kb2JqCgoyMSAwIG9iagpbODI4LjUgNTgwLjYgNjgyLjYgMzg4LjkgMzg4LjkgMzg4LjkgMTAwMCAxMDAwIDQxNi43IDUyOC42IDQyOS4yIDQzMi44IDUyMC41IDQ2NS42IDQ4OS42IDQ3NyA1NzYuMiAzNDQuNSA0MTEuOCA1MjAuNiAyOTguNCA4NzggNjAwLjIgNDg0LjcgNTAzLjEgNDQ2LjQgNDUxLjIgNDY4LjggMzYxLjEgNTcyLjUgNDg0LjcgNzE1LjkgNTcxLjVdCmVuZG9iagoKMjIgMCBvYmoKPDwvVHlwZS9FbmNvZGluZy9EaWZmZXJlbmNlc1s0OC96ZXJvL29uZV0+PgplbmRvYmoKCjIzIDAgb2JqCls0OTkuOSA0OTkuOV0KZW5kb2JqCgoyNCAwIG9iago8PC9MZW5ndGgxIDE0MjIvTGVuZ3RoMiA2NjI3L0xlbmd0aDMgMC9MZW5ndGggNzYwMi9GaWx0ZXIvRmxhdGVEZWNvZGU+PgpzdHJlYW0KeNqNdwdUk9vSNoIgRRAQkE5Q4NBJ6L333ovUJAQILSGJdBCkV+m9KV2kd6QpVUCQIipSpUgRUHrni55z7r3n/v9a37eyVrJn5pnZM3s/z7vesLPqG/Ep2CMgMFWEO4YPxA+UBCjp6GiAgAAgUIgfCBQkZmc3hmNcYX/7idlNYSg0HOEu+R8IJRQMjMH6lMEYLFAH4Q7QfOQKAAkBQKKSIDFJIBAgCARK/A1EoCQBymBPuD1Ahx+giXCHoYnZlRBIHxTc0QmD3efvJYATygUASUiI8f5OByi4wVBwKNgdoAPGOMHcsDtCwa4AIwQUDsP4/KMEp7QTBoOUFBDw8vLiB7uh+REoR1kuXoAXHOMEMIShYShPmD3g18gAXbAb7K/R+InZAcZOcPSfASOEA8YLjIIBsA5XOBTmjsamPHK3h6EA2N0BRhraAD0kzP1PsPafAF7AX4cDAPGD/lXur+xfheDuv5PBUCjCDQl294G7OwIc4K4wgJ6qNj/GG8MLALvb/wKCXdEIbD7YEwx3BUOwgN+tgwGqCgYAMHbCv+ZDQ1FwJAbNj4a7/ppR4FcZ7DGruNsrIdzcYO4YNPGv/pThKBgUe+4+An9dros7wsvd72/LAe5u7/BrDPtHSAETd7jHI5iG8l8YrIv43z5HGAYgAhQXExIXAcA8ADBvqJPArw2MfZCw30HQLzd2hgA/JAIJcMCOAQuAO8CwP8R+aLAnDIBBPYIF+P1n4J8WMQgEsIdDMQAIzBHuTvzv6lg3zOFPG3v/KLg3wBKIpR8IAPz1+dfKGsswe4S7q8+/4b+vWEBT1VBFxZznr5H/FVRURHgD/PiEBAF8giJAAAgoLA4Qwy4C/llHHwz/q4//yNVwd0AAfhX71S/2oP7u2fMvEnD+pRAuwD+L6SKw1IUBOP/NdCugCBCK/QL9n/n+O+X/R/NfVf5Xpv93R6qPXF1/xzn/BPw/cbAb3NXnLwSWuo8wWBnoILBicP9vqBnsT+3qwOzhj9z+O6qBAWPloODuiKU0H0iYHyj8px+OVoV7w+z14Rio05+0+dNv8ktwrnB3mD4CDf/1iMFmAYH/FcOqDOqCfYygsdz8MwRGYyWH+X2Rv2wYVlT/7EPFHYqw/6U+QRFRABiFAvsQYy8fa4kA/EBYmdrDvH+zGyDA747AYFMA2JkDAA4IFPGvixYXBwiY/3L9tiQkAALQf1kgQSBAwPu3+Y89oY9QKGxTv8mCbehv+7f8YTBvGJT48zQCKhXqXBfaflKjwODFtzoqjb+bcWIuyDdaZEOI6VOZsF1KMsrNmdF6ofq5F6Rq49ylq+hxkjf/cd9vpZ6lwUf4iI9Fdd2RBZIwfX10YyrZ75jx/vSdFpxnZmmKzJKlqD4cfaYY8m4iOXvHPiP2O/5/1PV8SvbioCpTFdMMa9ft7K4py9GmYZQw/f7VENMKGTReFTmg/SP/q9vTkOVYq6h03az7WtKdp8RJXtXkiwNDg7MUvUyvY4I1PZ+s/mALx1CoSA0yKgvfqjadfU52kV/quZVF6QdRuyu/Zd9XscCVdlKnu+e0srdlzcqZ0i3mZJfiEAv67nvKRIGcpVLMQBUUrkXbf8mLYMFrHpBNPkab9mTC1d/MV35lctGMCNPymZnqGV+8eKSVrmE51h/KyauTJHP1cuV7QCN7R5ynQzhu2x81aRQrKjw0OVybAQ4hz/vZXHNnjzjDpswELcUznNqNZUtmJULbgswphIRIPeEZVSZkAo3fBm4VWxz5+QpfPd/v7FTkmPGojnGPo4z1Xayf9c8qena2CxJ42wDNrI1V8vVyWzryr/ZestYecEMUB1T6truJbC9+pIiPRUgCWPLKN7uiQ+No+dui7ld+We6NPGR+iZtgj1OmW1BxdhBM864f0Y4jROxZFhx7tuV7uYWbBdAlRjb44r/Qp5YynehyFB143keCK/uZ9/qnbFu6XpCmsJsCcOTSUKhpupWbatCvk+c5TdsKpQTFUhj80eqYTsqKnvwdpwC+u18440mfUBkMhmwkPY1tV1g8aM2P4ZqsZZjavt1eJhNMyC9R/i1n60DIkYF+P0eGjMWy05blGnKNsKX+ochoWrRw1v9k+FbTntl9lm063JWm3Ow3i+C9DcRDVbReIldoShH7rr3gXqtXrO6rykl12UPlgMMfhF9yE/ssUsnatxtqQc4Pq0Icy8gIukCQztYczRdgf7tOp7hSyGOu114WIbtQSw6gc8qPOnMcMZ8TR+K7GU50Rs1hzznwHwdQIq/4JjYdpm0A4PNpW+I+BldhX9ON/XV3w/3FLibbOJh8dT03rq9/WmKqGZy/WWKEK34gM1sx3Ch+AS009vSpSwGvTSwkKeuH73ArIZhkOEzYVpFgefMuPuXsef/oGWiXZ3yGYvLGne9mjXWCQ0hEjvJ5TkUUXqe37JDDR/X6M0sWa2OVo9fOWYaD0YECPOckKys0m4CsDPI5V/EVX/PZJGTdQX52rjqr6fFssH0Ta1OQlL3w80Lj4jufRSR5l888qR5AtZ5yz05L8fiOUd8yj62m9CV1AdwrMphc8OqTBXv0Q0RXQXEaZ62jWuQcYXKw9x+OE2UiNx1am6R/OGtdxE+yubS4Hs2z2x64sVmTZ0os8/WGFKzecwFrDz+mnz3NMB7TB/m9D75LT+VeEBX/IU91xg9i3DHS7kAQ/nW7oNIvSntiiyOyu5t4yDxXYnmoZPHseKdxQVYu+O7MSoNxwadBxI6hV9bkkiRxBHM2rHWXWGCPKKptnYnxNS2Nz/l2C1lAaEEEZm3G/HlI232xoD0PTOiiw1lAN+XaeApXTbj4TSPDSfNUn3uU0jnoBkHnVD2b9qWQNnL27ttPTXLbwhb9ZKfiBApeVpcruSEWVoGj7C8DniG/3LP/5udEIywbTRl9y8ZLueSHPMzgwJ6sF28TDLe3GLdZlO9qlCNE3oYLSTHWBSv2tSowwc7PmQcODm/jjd+v1IJurNkSEx/IXry9MEaMyxRxM95teTt85lMU9PkB8i4BW6bJKCO4JKguKFfEQPChkCRtbjPDoLSF2rgf6OQaaqpBV4MnymmL0rl/EoUJsw8KCpl7obsVLmgNhYOXjoT3r2V2md6hMl95+nypdrLhfq2u9bnW3+rgk0WU191Gep2tQiFe7sbeaE+RAP4XxRIl92ry74uC2xsoyGAWG1kBCXii5YIBWiHAHVvTGprRV7G3vowIlIp2Bw5HAfdcFJMi+69cd2S9kubNN6W/qlvE1fTf9Pak7LgbELSiyseWfT8bQsXK2ejromxgCMFI1Q+QbTgXtfTmupCs6NIdCVdOEgifZh4s1M9eOytwZ9s5TkQYvKitI+Is+SY1HFxjQGrCEqqEhKy/k5c66VHCkYBtcKhacsYQP78IO004LZEbpY1D4URvZ7S32R5Uhd2imHDQIzSbf4+7XJZf9ugUOHecGOcikFTFUS1yePvtRNlp44dPRMG1fAvaFqYPX0C+C5vnWY4AH40408iqTLnUBdWxmvd1ayd0Np08G0g0Sa85yl4G6ES4nhmrMw66T1z5ZPfCTPr7ry/QYQo3Z3OiEWFCLKP+1iyAauvMlTUG39bgOd0qjlT6FLUPJiD5xnB+AQlcqYFxjRubY6q+KWwlnUEmnwS0cPFcPzqIenssFjAR+RDXeQXUPlFXF6jnZj/7Akl1Sa6+sKj1QXi/b3Ku2kn3Lqwz6sjAs/Jp5HK/J9eWZ7r+RLOJjvmUgIdlkMEFHFZgSeM7O+KQURtEmf7RQYN7ztKBTgZXh5JGaJKLvf1neRV5sseLqiY9TvwuK76HrLF0zHlbmj3E6lyMKIOjhEYmA5GjwsfGtBDtAAHZUREXyu+0xzIGXs/1rsRoRC4iHzBIpn7kfW5iS6OtL5fYODB0T1epas1I5+gDfPcD6YxsKhlF/9hx5Ort1Z9C3B+dH5j15Cpviq/HsO1N+u/lsTarRi8MjUS3XNFvzGgnS9k+JrY3SNPUYGtqS+uxGOT8REvjZuixfve4UNOSNinQYZocT4I3rUK0/us9W9BZ4WSgF4Dk1VY5oxEvvhzoqVwIIcn+tMJU34KPK+eTZe0brWOYVwUseLsmCZQ739eJuukq3OQnuGnOE4ypJBK+qLTiFpvpOfLNpE2/jr1To76BXKMlA6sTMN8ntPItunxDLjAxyRyq4myK75cLitoHjYQY16aaal9OiPiYafn7Bk3sL6f/8J9pwtwqcla03wgzlany/Sw00208rRnYvmZZ19l49UHI7tKz4Arpjgoxua1javYi+4j/210LPsx6ZsZGTWWdoG/uh5+JocU4EcTSRqIYUKNr75zdK0jWWjROfhuOxhbNOJMtV+7DzP0pWxi5CpkRhrTYBCry/Z3SknzME0SfCPmAt7byuy6FjOimx5d9uiVM7w0JAdox2zkO/d5rgsqcaU9G3AvqZqZzvsBn416MjZfHokl7PrfHhXw940fNE9bgMe+rWJbz4b28bP5+SLYeUhbs25G2+hRVhX9nc3GCrVjxBYk2rkB0wjfJFkWaQ8D0/EeOIDWGvIlR0CNRoDXaLpg46SDVP6stmbOWRjh/oZRz44di3SUfhUv7q9a8/jSX4qWD81dazFVuMXPy87ZFCn+sfex+2DbZTUnIy2YII3KbUrbEq4zrjkMGDv+o+hFFQmA+m6xwKe6m4Pv58FvOTftOXan7K5mBtATjSWWdyIX2o3TqFjoltRKyoGTd9/k18b0L/lIArVs7ouTdCgvHUwN2diudzpICJLj3cB7WPw26vjIpYec+E2Ww+rTfpLi2lDyTKD20uaofy4bEc64M6u7f8OrBhPHAy+bhVUWaL6bymi+mAB0mxX3DP9DrFm25zmEBz4mt3mDUlTZv7Q6dMmcKECsvrQJeDRH5wWG9y7cz8V5KP6tm6Nwcu/R/w++XDq2JcD0BxhdGcpbSzDxWIszg2XnH2ML4+WHLFZINwPGTHFx6p4FN5UWSqnqcGw7Xwr35IiH8l5gFw1V4tisbkN3bhfVSKVMySGLjm+0o36sAl0Dtcflv2y/fkA6ryfTaVDh92uRyqc5uhROJQyYTT+TRNvdOvNWu+RPDCe9s0eodh2c9jNlxrl5WpTKebX9PyssG3g2hN/xSc4Z2SGkoLPpk5RYEdQEhannWHhNGjKwt3Ax6rbIZAdmN4VWq8tjv4Qi/NL+7pVGY3T+VcRPVYfWl6c2Tt9dfzw1hCDvPpKU2lP09pNz3samq6hyHD0qj1AS15dOtZvhHyPCpfReC5yGjgwoFLOScn611Vug+UtwhIqc6mk2wCa4c/6CXWus6N/beR4bxoMzGV0QlNpjOl+3qyTB0ex447GIUjXzaofAD16kUhSYJ64i0w9d8l3zlEtPeOqKm4jTFsS5HHRIGKLy7WMVgl5q7LC8Rw5qBsJLXTgYbp1sbYki+3/Htqv6Dnvv1sYlUOJ/KOP1qWDLilTHk61yXyEp1c9dFh2BKp2zFdy1vD6Ge4sW3tphSpsrsjYT3/uNmH9kjgYUjMmsqifLVbSn8u4I2i6j6Ysl8TiZ12Zew9Rn9kbn6Kanq408DH5+FBriZ5Wzw/WzUWVIY9UXboSEBCXmxny970C3yVLbJ6HYB3PS8ZdXIrtA7ekkqbyrSXXdi5p2s1OwgN47AzOJFWc1snPN7gzYmQnerPbIapg53l/eV8O9XXHt2xbQcOl9R4MTJZeSfzQ4rME02r4nwl6ElO60HGKTUBavCOurkXLsa6qBUlCtXOPrFxwesMMLCL5t8GFD8JwF6gYFEiHR4avLspcu5wKrfAsHGeAoie7TgbujTd/14y9+LxdXYKaKQo+1vt/qbdX5KTqaeuV++YYMaBW0xiLC+SMprA6ZGf52RD2NNawpcUSaafCAudfvxs72G6330TaZ8m80aGUelH88TG4Ln5E7Xtz763pKKs7VObkcFYv8HqidXRwlgLkh69tdFlcrF1BzjWzNO3zJI3jlVlJFgO7z1c2CLli2bu1k08fBs0Al155A1hIgF9lJqfZgsaMKsj7/MPvBY7QqokrE0SoRTNC8PWmkqjvOG10SbvvC4nTjSUl2RUkk+jfzmWKR7w8vHemHaKmcWLejhtnMll8f/qVir6exIyu/w0LhV+Al5eHf+m6elus93p8gXCTpdthZ77Re9X2s4qcgMhJRGFlsnWaMAxkndAaRtOxpPzrezBefoqh6QFkfczLza7LMkqkkn/pAEfXTp02piGOyyiJeAfSNpHIpiqHgX3BUe6t9urj9VYNrRx7nhOz++6ebn2RHfo4vhzh/5mQUlx1HOrB2hTyKxlcK4TM3zZeduCjOxl5Y24auWne5m0t0+mduuo7+Bp6CXz1kVjn7rUMvOOXuOHFX+on5fkAM/gw8ZTaK1G1gTBVk+EGKVeaSyb7CRkk7IuaUsLVXvXNM71Hy28Flj9VQQTcX0vGnhXKHBMVwt+Z2u0UA0tF9w6qLtI4qSP3xuWeyDUryNkmLBUsx6DZXMHCph3C5tjyrH1aOSU9B6ritTF8aQq7WeAqxn+i5XOoEEpR3/JLGJy9gjo6KmsNMPNLpmkdGau5ZTOV3TYsjO5qjn2Y8qRFmxCRKxWX6MFfCeRgp14mx9tTB59tIjBL+RG9euAAUoP1YgqUw2Ee8f6EMkcCPRtxlPSVWKj1xdSiHy7gY8+yNShomx7nlJUYI+Y+HVNKGfmwKYX61rbXzSMjUOeVAhTr8Um5eKVJHs9BrKzRunUYFSkiTn97zskdE43Igq1Ryw+/E2xZzL0Ht3PmkjAa/Xm0hknH/GqewBYZuyOt1m/mfgIC60MfB1K41m8e3l8Jbd4GJJj5s0/YNOPlpzDVeqUtIW1/nvwy4Ce/z3KpoXiKYo7h4YC6C6LktYqncVeiGb7QOFDecrri/ZXX0PgFngQPS3ZGV9JV1hLaumub01OZUHPw3dJ45T728uuTyYyz9IkjcqOPPXJOG6PlC3uslAQBXAmzLhaSKnLM0VNJy2a12UfVm0k/rqR9LLr/Mbau8HKF4n4+M0ZxmzrWvoHC35xOBkidMIC+gw+dc0dz3Il7ETpe/Hx8VPxJDeHRV3GWKGP18nkIacpubkt94gXs6njeRhlpIhzb6p9uXxY19xcjEjFJIjvI4tyuVw5Z38MmFjSUYMWCco8k3aPaoHQ3Uw//OMA0j1V+ZMktsY7Qjx8Vpg+lCk/9jkZqceM9eCx/tVctVUDFGaXj5uoYx3XXFbH37MDOmnEtu1PpnrZPJLnvTqCT2J1XCFgBHaZ1YkSz42d3hlvG1jX1eY4L962r3wTFSPMMJZcWZZXC5MLvTbqjL+qzicREbL+AMf5ZTPXbfczEpsHyRBYsDXaf5eXBQadot3KnvgYLA/uB/dwcevmWuMvC80qCDPseYj37FN83XyiQABQRhudxpC4OgpZpyexJskdf+QZ4SGW6xpV33M9sRA+oAW5InWC2oNMb5R/8Xlg0i6vTn6LE09vjbE3sUMKbbq4WM4IT3AvORNInPAl+MZefNCbYwqoMaidccXmjl1UD3GxwXH/elmOr3A+VI7K23ZzDGm/MYValRGoPZOFwdI1ThAxfpnu9CzhVIjdkYOnRafuEILpaIUIsjpcktJHA+Rghe1ViHxcQeAsTIxh6hQRXSFydUMFSFNIHx1ojNkS29tHJkZ+EeGZzXTuZyBD7HzYtj7vKKllMevSTL8+Wqg2uQ3Qw8ajG9S5O/4Bg5SUODmXDNon9GHi00VV6rxPOwezleMrV2I7tqUaSHk5hgJNharEA98HJHwIGNisb/LNfWNOAt1E0tdX0eLk+Z5c8nrAsbnnM5x15BVbhoZf0wsAy90IhlI2Qd0bd6taXiHljZt88J5OQCaSDl+xsLN8lSVLmQvna+s50v9KcVjX4RIyGDxbEW9/Us8cpXHyedDHD1UTz4R9JcWnTzWbuWXAzbM8X1YnjGyU7qN80TMA2acVURTKg0pJkEiMXXN8xM1GGMzPbtwxokfwvx63mzeSd7fKH7Gn5i30BW8HHYU11Kjst0B1rMGTyMOfEvMQn6MDMMlBwjM2nn2bqZr1bd3XUwb3/T6Vo72iDB+2en0RBQ1s7mnncwhaWYR3duemQhYdnxR1KhtLxsbFYGrdSubVP5c6IPVjpGupPizQpo/HG9ulCwQmsjNc61MGULYx89nELHNQRnrstGipMu9A4FcGUR6ScQV5QPmXiLvBO4PL/m7ZJZxwujYBGjnNSs61UhaFpOZBw5f5zECdQ4RD5yQ48Yb7L17qzf4DAs4ZYu5R8+IJsq+DwqKRDq1r++2+Wvwizx6bWegX3g8/YTL7md5uoHBQNMG58WtY+FkEdrUepvSkPnQJ1Q6C9WISCZCETVuO7l3hqo6ZaSLPUFXH0Ycl+M3kd0OMwu47nhXOJ0i/aA79i+LWhO3tXq3KC21iX1aPIgaFLub2Hrk/6CLHBLdYDXbWiQeTThToW7q12jdFT3hPdcwfs0WEXc16pP9OWIn+YZ6GhLeunZtCnXKs6Z15fiy8Ey1Z06y9Q25XtEG24PBaEJWZckynBgKnDB2LtxbVGDa5Wwd7+TLwYH7ttrpZ3KMb+wpuc8kI6aBu4LWYt6c39uEkSRV+uLt3Iz8Nz1FmPLQwxDpw/h6a22DcOAu90mT1nbqR55meVkYP98M4sXk0/UrJboqujs30571B7kOke/2j1sF0hnyULN59iDSlIszZxzDFwivfIJPNwvWwSyRt78p67qj1rl3R46qfAuqnE5CPp9YBnOU9HFEdF+vTV148FfFDJ0wdc29L4641ztavDXgmmLqLXRonPvi9hG7NsSXngBi5DvZII2QTPhg1OEeGHoP7uWvz6/z4TyGWokeXJnN8Q7e+HGiLsLzlq6f3xb7DJ9l7HIeXwZPfislP0KecdZL/mofd3v7SWykhI3+rLAGhP15jvUIq/LVMZusumdlAvVx1gTteEkzjhGUy76Xbrjy8cdqAb7I7dOK66Igse/aHRtWPefbjENfKwgDofLFArCZ4K/lCsPVppZPvC6qAh1jccmGxgipbxwPVFBOxl+up9FZM35RzKEWzZYur98V1xDsPd31Xxo0pP7aSz5j0JvDseRyzs1fzi6R9X7O229e8OhH76TqmlXDyOoaYx91BdUHXauaM7u2C5Mz/20Hq5013rXt/AESW/1zAB1wPcE5dbpH7m2iJz1ROTyUcvfiAbTBx0P5uQWXggbN0WyPSuFUiFG8GA7ZZLOJ7ne8Vus7y1tAQYe6uTWxChr30VVftfGCj6QeufOkXOIzRiLFSIt7PxJttpn9Nnke3+9PyeaY6jADTlJ3SXy/l0ica8iry7/AeautSL7+51HTcnlCJtkbZK+1fBg542edh8a0McCUMGoMz4E2pdGD8aj9mcya5E9K+jtO7OsTn1VwSdubehSIM6gJ+vTWLHaMeagyG40P1GaOaRqIWuuvaT3f1UzWdrnW9ZOFSeAjl0o1tV8hyVGuX9rHShEeF1HJx12QDFS4fBTZTmHTnFpoYgYFJFDFYf+n64dzVer770hDzJ7QCEfmedGKbNoF0siJx02r90TzKAb5kfWXoz3DtAYxtWlZX7Xj3+l72WTwvtPQB8XPUcjovsd/Flrf+eFBOkFTrC3zu6S1yeMrNEpl3WowiLV99My9sO4R3qgGeN6Ww00VSr9PDWdeeky8/IqSF7ZmZ2VIQ/Jc8mdAY5rdj1NagGgmeq+ztCZ2fuc2blAYzczTS0aVYJes11QuLac9Yq8wgwYrW3NNRG8ZAmao0kW7FgLtV6ySg17fT/7yHTlmLnU5+XbgfjXoGaGHSjlVrQV9QcFgAJmV5Mei47sGt8SrUPPQsSrL/JuIwaEbJ7WzA9RCAZsX7RP4H+9Cxs6y00e0q0Vqvi0qudWaB3nQ3a5KYyipWsYzUSkqNu4W8uI6z4UHssrJ9eLF6+7ha0VdoGZvatx570pEeov2BXd8U0dYANnXtYffyfEvBXfNq5yj3kNOcgxom2G3KDWLluP22h2+It9SIQfXULQ1CJZcN9YClbgXHfQt1XQSjlD8WkZhtTdhwu/JpD8H68RJBt1r1IOyT7BRGOYNvXn7IuJGJlE67FI6felZYic7rjLvyAG0E49sd+7R8PWE0XB+y4EtYXd9kVwVhvRnSeXO/wAwfMjrCmVuZHN0cmVhbQplbmRvYmoKCjI1IDAgb2JqCjw8L1R5cGUvRm9udERlc2NyaXB0b3IvRm9udE5hbWUvSkZSRUVYK0NNTUkxMC9GbGFncyA0L0ZvbnRCQm94Wy0zMiAtMjUwIDEwNDggNzUwXS9Bc2NlbnQgNjk0L0NhcEhlaWdodCA2ODMvRGVzY2VudCAtMTk0L0l0YWxpY0FuZ2xlIC0xNC9TdGVtViA3Mi9YSGVpZ2h0IDQzMS9DaGFyU2V0KC9YL2MveCkvRm9udEZpbGUgMjQgMCBSPj4KZW5kb2JqCgoyNiAwIG9iago8PC9MZW5ndGgxIDE0NDkvTGVuZ3RoMiA3MDIwL0xlbmd0aDMgMC9MZW5ndGggODAxNC9GaWx0ZXIvRmxhdGVEZWNvZGU+PgpzdHJlYW0KeNqNdAVU1Fv3NimIAtIgNXTDDF3SIN2txAADDDFDDA0SgpR0C4h0SXdLSYMgDUqDlKRI8x/1vvf+7/t9a33fmrV+c/azn73P3uc8+zDRaepwSVvBLSAKcBiCC8QNFAXIqqkpCQGAQD5uIJAXh4lJF4pwgPwF4zDpQ1xcoXCY6P8iyLpAwAgkJgdGIHlqcBhA2c0BAOIDgARFQUKiQCCAFwgU+Q8R7iIKkAO7Q60AatwAZTgM4orDJAt38nKB2tgikNv8ZwlgtWQDgEREhDh/hwOkHSEuUEswDKAGRthCHJE7WoIdADpwSygE4fWvFKzitgiEkygPj4eHBzfY0ZUb7mIjwcYJ8IAibAHaEFeIizvECvCrYYA62BHypzNuHCaAri3U9Q+uA7dGeIBdIAAk4AC1hMBckRFuMCuICwC5OUBHSRWg4QSB/SGr/iFwAv46GwCIG/R3ur+ifyWCwn4Hgy0t4Y5OYJgXFGYDsIY6QAAaCqrcCE8EJwAMs/pFBDu4wpHxYHcw1AFsgST8rhwMUJDWAoCRDf7VnqulC9QJ4crtCnX41SLPrzTIU5aHWcnCHR0hMIQrzq/65KAuEEvksXvx/LlZexjcA+bzl2ENhVlZ/2rCys2JRw8GdXaDKMn9RUFCOP9gNhAEQAAoLMQnzAuAOAMgnpa2PL/S63o5QX47Qb9gZAd+Pk5wJ4A1sgmIH9QagvzD8XEFu0MACBc3iJ/P/3b828IBgQBWUEsEwAJiA4Xh/JMdCUOs/9jIy3eBegKeAZHaAwGAv35/r0yQ8rKCwxy8/qH/vl8eWT0tGTUFjj8d/+2TkYF7Any4QAAuXgEgAAQSAgGEkAu/f2fRBEP/qgL4T6gSzBoOAAH/VIs8pv9U7P6XAFj/Gg42wL+TqcORqoUAWP8R+XOgANAS+QH9f0v9d8j/TeG/svy/RP7fBSm4OTj8drP+9v8fbrAj1MHrLwJStG4I5ACowZFjAPtvqgHkz9CqQaygbo7/7VVCgJGDIA2zQYqZC8TPDeT/g0NdFaCeECtNKMLS9o9k/uB6v0bNAQqDaMJdob/eFmQUEPhfPuR8Wdoj3w9XpC7/uMCuyGFD/L7GXzYEOU7/rkMeZgm3+jV3vAKCALCLC9gLB3n1SEsA4ANCDqgVxPO3sgE83DA4AhkCQPbsB7CGu+D8umYhAQCPyi/otyUgAuBBjrIj+G8EBEQSoP+YIF4Aj9PfpiAfgMcVAXb5DfyrLks3Fxdk4b/lhCz6P/bvxwEC8YRY4sxNwy3Fgu2qg1vPK6UpPbg2RsUxD1LPDXm5RvNMsRG98hNmK/E6mRnzKiUKcz0gBVO7DnUZ5/O3X2dOfNZraGu9+M+4aBW+2dBaxE7fnaFOJvj8pKKfxm9EyTZIlqERLXTpRdGkjnz04b6klU2vDhO+L0t192yCBzNxkYKQckirevuHyqIMVVIqEf29VW1Ek0W/7obAKTlL1qpjzMu118/DU9Tf0KuIt1/gxHtUPFruG+xfJOih7owMVHYP2jhkfIUgkBfrp5Ljx6rQX8zBu84qdN99Q+hj8ZRIRpHt2QRbQlHsRnqvwS6Gf2jFoONm1KZbrlhXgN1uyXWG9JfgWmpBfKcMc63hjxvfa6pOAheVT2nvBsnRA++1xpTzHUq9pdnLO1ZsBVJVOPSU4gH0Vqme6FzCQKKnb+7P0Hrr8UbTvZ8ZrMDZGG6i7kPN3yMQXDxg3jeks0p8VvIistsm4UvlxEV+RIrNrvGtrhWZZK0fO3m4zLX956J+JomAcdkhy5BhrjDpHDW12eY84XtmUcRNPCIimpiZ2g20DxyOrHOruE6tTILw7r+/WSqT1+ulvOkxGyd7Yf2FNnOX/dLuJ3HZRRzuu/AX5s2s9nGuUt9Ysd/EGinWfyuuC2v32S6W+OA6OVuUlyVS8/XnWIoWSyJTV57p6wdjxXXhLGWEG+jOb3VJ7k+q/pCJYwqpxAqDHhk4kBy0iXF+zFMV79E0A5BOPsGPoKl4NXLxFigCDfXtLf7WaShEq6mdJ8ryuYdoj0R8qSs8/klyB56CxRHeynv+LOx09T4fpSsUS4D+M9LB79rPH/KTGb0uV1qM5Kgi9sVdArCCZCK1tJnh7xuD/a3elzxPe1m35CPX6OoNQM3Nwf1qmXP/4Q916zb1nONW1ryg3CER7E30azYLA29612vjE5GKfqFY5p9aWPUkj5nRbjfH3KnOr3nMEnjRfK6o+OYDiveHvjSEvyLgZuk2j4cLh47gvtzvuHvOJn60QhjhW8J3LIchyr+qf1XZ7cG44JypmeVq2dC1vZ0ZWpjFJF9UakOl4fvdm9flC7XW9PpnmW7LS5vUiSdv4+8opNaeE0bbmALuRqnk+U9QnoqQb/K+mUddopP+PH9WC1FKRhHSQ/UQsKUa4tAzV196fFV8FCtO4+wzu/7xIuC4MDpwnyc5jIqQBCM2mDhJ5epmV7jHa3Bnln7+o1727X2O9L6kedGytmD/nGfEkijXBBm+A45i4ktqPPPTNuC4vQNcuG0GTpqogftw7cAi/d37anw2u9TsCa3W7ajr4kmPujfZdJCm8EixGqxZBU1iQcVqNawox6fGhnciWu5oVs63W0Kyz4r5+zPeGpjQ51gkgCIyLNWvI5RueJi4vr+lWkK5ksCraUpnHjqrb23OeDaScIWuWniOXms0MvCBrgNflbsdT34FYpYj+7bfxfJEiX6eQcDJ4RUjXut6ZyiDwXU3aejuzelMb3mOPjvR4wxTLmNFW5PYi5swtW6rMeZKD2v4y/U64xozz7R6jZy6z+dP4foJK0zQGWFv87fE4n2vWl8R6SyT9R36sNqNcatoG73+0XFNwuD26ntSU9daYkEKTHt0ajoxrEcVUu+52zG1lXWLHZz9yICWso1XvevBYqMj6R3AZ/WlEa/LzrCTgs6HCuvCh2g/cyZZ8QorigQs+EPEeJv9GI+oyMi7CHDQZUmcSUlMP5ujTGHq13qacS0GYSylOD3vnc+/i4q+DPl0aC3YP2XfiIH/Wb4qymBlfhetsBk06rl3CruApR2hG/bl2oUTSFZayiy8X3mX+qP5AJ38kF/dI5q8dUUIwc/lmaih4sv9uEtZMYVpJE2Q2+5niCIUo+TmMFvCweY78+2cR2XBQVjIpO8rAVkDSrac1ylB+YGXx2EjM4Jp7n6nxAX8vDJhEnhovUUTwyfO75mOXqyJl5V5jvCbD0rDu0ezHSo6krRn1e/NZJJRfKvrVrzhIO1k4ipIeJXScqafOeGCF1mcbcBuhQErRmRMla1sPiaXswsBLVOjp7ftutySLxQ9geFWlaXBPnETFKs1t6JiJ1UwRivrpBXHqtvmrFxX4H60mut7g5Zy1m8oyxnOw0gUQ0t7aE/e9nBMREFgtIeJUnrjw3LQ19AOf6HC5oHlyYYqJ7wNqeyV0lDE3QOOyejC6PDSFx0neGum/LgtnGSpo/TBDKkwurq2H/lDus5K7bKM7FXCeEI3Lue0Q02PG0gFyUP086Qa/dSuHYHiu9Q7GgAVyAZLIbTML/LgsTI1n6ZGssZbGT44SebHHQML5zsOATzPL2heeqRzrhLSxEsa3GgW9Y3hMnRWaiTdbSoqM+jZdLXa0xfPcx5xnYnskqaLUYcUo/Zp4eB7NAWFqTLZVYivWKNPOCIec6bOiFEdygRpPhkseDo8yS8N/EoQzqdknKZHhD51Lrn3dNGKzB19nvUDlcWkS2hA9WWtaRRRhMh5IyRIbY8tjOF2OaaMsGt98niHo9TRdVO0ZDMYDfhGT48Mva0vhIq7KT7Cd0HatBlGGoIqAKuJG+pxDVYELxl9jMXxBG6LY4yp5E2E9O4xq6DAiIbMGgZvKovno9dbyYKouxqe7Pc40qrP6ZRhiTYaYIp3T4pG4IvCL+NB94QjptVS311BWWR+8LUJIlqyIz+bLzdc27NLmupYPGlEiyfNWc3/RkCZ33Jrz8kmnENI+7lvcOLhVq2HmWwDJoV6jOjEptGLcCYrAAqLzBn+2aNX8xsZRKCal4IHJ+XnIsPalZ8lM/am3J3dHhD7SjfMNHk396lvylUSC5BQmhIXXZ2NKDUFoT1992ZrHjJAjt1du/zSPLliJnWMPPMj9C4iSDSf+rRtwVsQPUKgI3HzdTH2SMmnBvETNHvcrBlt/P5D0f2WhG9gZbsnDSGjmbOyBI7jlFbpw4qa2JP1jpYvC/R/3mitHQWJQVFLoLacPS6PEBmtC0viusJs2yPJpagVZ64S70YTOs+KXlhSRa7vAo33ZhlaLNIiL52qXChs+ILtaNRTaFgCicU7xJJ1M+dXexIoX77lGjcsQNz4TyvQvQ5pR5nHkbw/lPOMl/ajHweX5gPaqx/be6oLIgqbNB/RV631v0T/zGvn/zhwzA8w9O+IrWSr+XTEgWXDhTE0Rz40V8Ue7rjixxqvhxd7r33MqCdOz3RiQAKH40O+Mo2CVQL5GFN7TUQp9fCW6JP+bzbyapHrKFVud1rxTvqBpE7MQs9EnBcItOBK32+u6/STMWLUeE3APTEXgE5WFNqy65WAG98q6zmeVYUYl5IL7ER8bX336zjT0xOMw/L7qGfDvj3FXIlOs55P928O0EvxozKx/CVZsLYibTq8Z0kdqosSQs8PdzjfbVCO1jA0Frxpkq6XVShLSzZyfBti+mBP6jU3UcGs63Rz7IEEpTWdCdXsjDLBu4nPso+e3lS6kTdvT2mRRk94yca0lhu4zpGu4XZXrjKHVwcq6VISKIwEKO+3Q4ZO8L9FMXNVQxj1343ZM5FV3+9ZJN1PdndgOGMRPEp/EFkjfJ4Qiau41C4dNCuUnmtSCZ0JI+CDGGHPew4Nr2+E8XhRWJsc4uxInKM6m26Yxx8HXlZ3oRBsvmCpyfRDNz/hu8Xo3D6eZN1cB5VOL9C+6Nr2ntS2k/Y4dysHCzMg1AcrnbMPMMfxCoPyGB+hfk16SRyno5HxSYMkZ0cqrqwjsq6Fct2LgNoHtK/QWzqMldz9ki3CVEElMMBPmfv8kxT1IL83/tI8qD1xTY6PEc2egjMQeFhA0plepwSeFsbILqWIuKigoop75aT5RculTrYL+j6tf9bexFnmBS1z/kvisPKbt4nPGzR1DZ77sTQL4H3ceQTom5fN8s6MgYgfsDZ9IfmASeVqn5P3DX6EVStCF3w+K0nsGTyesipfl1j3qOxZB2r3avzbs0ZlCeZl+nCZoKP75DqWb2YiTiloBv38BeQCNxzl9JJbbSe3VfxBamz2Hw9nsdk0z7CZuHgcCHwRu5iNqbeWbVdk/gkrug/NbD8s2VahHkXZH6eEdrQuxlHXhw7I1lU5AE6XwVAMZnsWYNtBal3K3sOYg0p3ozC4vQjz4CzfWQ1xuQDvrGGfsMv1iP+2ieAWiF2eDC0ZPTfU0D74YdxCn9U9cy5Xg7XaOPNtjOcTkSwfb7eH9tvoVhVqp8bTrKuEZRqnredCehYLWdlQairS6LWilpksxqXIe5054k01GwSlP6270Zb0+C1jBGuKPmXFwLR7Oa/IruwHpjfXnp80y6pD4A30Nj9FOaXKKMDe9VFbEqaVY6/W5jxfZ+IqvS0n0J7+Ou1vNpaj6d2rNWy/sYThfG9SjU0fIQxoN90i3fmJW/3cQSUmKwqtLAghxGCyvptTQuipniStL6dphwjVqpOujCHQnROeBB+GvRnFxi2RIZefbgrZMLMsx9SOfpTO665O+NFB4Wu6Hi1L47qX7+agPEruGdEcH+U1dZWRAvydeZeJkytOBG54ElPr6cCG94Icbrsgamje5/cDqXvLicZoH577VDfvynE5aQyIR483h4R88Uv7pEJ116/FrPcwb72/n/Qez8OmKTGvvKTcm55xyGNvBdVUL6bE063XqgcXNuXq85kt+WRXMExyEoyCNhXyM4ad9tKL02mzDlGiMLynplVsmKs6BITC/a2DxgzFtdK2bFU74o/Ln0+TRVJsPs9ljp9P1nFvPrtlolRJ0dqJWGUBbOb6V2HdPOYXiWJsm4oiUcSWGwAaedmysQ5uiR09E0suSm2qHL+eJNjy4pRfPrpYntK/6v3Ur+wfjjfys/cE63Jdg2uRA8rscA9BA0XEMM5Wj96G3Kckzyad5Azz2zyqFl++fDa2zuhF3Zc1X8wRycYaj+npDFT5sR643XOzOD7ThigLf4dIT4gtaKV/xIMI5lELTCibJhzyaJn/cYEDGaAW4rDCoDKgfZHzw4JVcKwvTHLO0mzULucSx2ShTX/K9glXThDrtVmfaclrWlFznxHJgjuZDr0rrBks5uxm1Hsbi6dnk7f350QUe5z1eI8vuLZRQCmWBQGtVody9Q/yKGQ3PmifC7irbMpfQvW/0l02bl001VaJOSfhx9PgY28iYq81mIQMvBNOUvbtXlR1HejZGDm3Bm/sb8VE63RSJdcuHRqMEItbT21BNVqH9yXyDVWiVQ946XslRCoYwzOpRb8clomt+d9LA5jH2uPIC+AqVHaiUpHL2DmkE/jKBc5cipe41barzFMeUOzRP7lGFRbm4OYju2lpNp0l4N7l//STzDyDYjNR1jv+xXj46r3HEZPn7xf4utB9GAeI9JpfXBWlQTemuPkZRl4d9I3WMz957Bh7f0y3+ucCJ+bW4evxJyNdRaVvCGUzSU1zVu1wrzaXFVZtqo8afYwGLxzqINPuPB5LTr2vfH4cju6aj7X4taSn8vPV0Sp0VnfzsU5icFqeJFAq0Y+WSmblPgEfSi2+qrX6OChP5ZcepRmuxa7Nzjgzafn+unN+DpegSyl09iFXbE96wP6J5vgwPSaCvlN8JitJuckraesjt6laKs6F+ULF6aRUzFcOqEVezWPnlkhrey+EavmehathFX42MMQsT5HkqJ8jmiaW/GFaUQN+HxOJauRX30saZweP/KxXd2Kkx25cnEwjn7IwSR0o6bXgbIGctWcf6N6/z/+ei5KxcJ/g4Y3im+ihphMt0dyBt9TED78Bp783yH0Fra6qiPZicTy5Zj2dDdsJNvz5CLe0topvbZbrOVSA3qGgsgc8k/8ayuKt1pUuuY99Yd/7HOiqRuhLDfOInBualJeUPK8T9olJZ/8S0h1hiFudWUCckrj5GBTEuaTcdVwcpnGpXfv+JKohv/U9sIDgk+gxFR75sShe+zuAed72PTtUfb617HojxyMGN4amCFXzxQYN1ELpEolTiCgO9Yi0/Z36ID/Zfn2x+gjpIXmzvaWG8/lr+oggYcpCZjal+Z14qfj3717n4ziyPil6xs/v3ODvbEzjNrgB1DTjiZsr3JWcp3dLaNoPqW/LE5N6XQuoGJ2a3cyKSA6ntxBkVY++87PSZ4aeUa48ZmJnEiglzuXk3tjyjywa0o+HW5+FWHKL5XV++t4Y8YAKfMETWeHE1L/l71D07m7hPrsbPbnasO2FYCrn+nUBZTixYO/XfC0JO+tTbYLCH491O7+rbu33Fs7j1RJN+mC74tH2ohXaxaCwdm4WlyaQ1fMybR8Ae4O4KeLM4TU+6kEYbGcUkEM3G6L6b6QxCTIsq2SXFnTBbOLJwaF0Uv3sIoDLvDnOFBx8LoFLcawKn2Bvlw9JW2bkwazM/baoAR4jIEzxFRvpxe99ZQMLwi1m+kIJ70kHIew7DKdHPzUPncosuBQTzF4Heh4P1bbfEgsHhR1yMqQ/P35aPjwLEsAJ3Vh8wsCFt1Ue1M3GO/e0B3O7Efc5DCT3MvfniLjZgvfjMMsG19WY0KQ3t2z0meMFVWJiJBtnRAm+fLclmsHcdgG1mz9BPt+vld4CCM6inRioEvAtJaCaCxoYRqrJBKZO1ZDyvPf3tmQ8J2qlvDj5R1EY2NlbNY1475esZqaV9weMnnmt2szqSpSenjOePytLJjRM8JEDbSNIDiVVyt1vAFVDPrc5M80Tdl8z0m63SULpB/iZfGR3fdBObHpLNMmboNNihLrZavRm4mjciup6CqmzCaFHY2E9PWFJi0D1NFUOHocmwjWtob0y53ZD4hmc6oN0j9PxEVODXY+e68MSLTkT8vTuF1LCL1gT6W+NJ270MkkEOt+o0KNOCMjp3p7gQFNS3R670L1yUOC0OxSv8Dck17L2lF1rTTIUfXCSwfTZISBpoMV5qHHudnwPlv0oAYdyp72xA3wsbtXRYzq258yIRYHf3GhL8aw3OjVVKMkX+xKFtDGaySjn21zASv6u18MTjeu+AH0itNHjIIuJUtD+HLqJiF/uVSjmkf+DV7xnpJOlsbrSRGW5+a2jgxcPabIwYN6SqslYWhKvHhq/DPugo7a92gH+fn4h3EvVS2+fZiOrOhmD83n2ir5oLOFdDM2YAzFDxk4OlghpgkyAml2bYeAH/x2+ibL5yv6zXZg8RbO/ue6ua9GzunqikfmsT1TY1eoVS1MpELtVbrlvQ4RuhbgPeDW0gkfBFFmndpY6qVYMRbUX8Gcm+/Sdh7t+8XWB3XGYorshB+z7pMR1XkDc3Q6/76m7+/dui+VMOJGRrWvLKabyovtqjoY6QlR9KCh6zOVURBsBhenoe4J1tuvnXdYvY8Mv2h5LOfbWuEGeVXbjhYP8uQ0rbDbCpA7fbX0rstdSnFAn0m/d07rseA3WHbQQRt1QayxT9nOidvLve9Syy8FBlU8G3dZZ79Cxu5QSmU57/sWG+ERoIUU57PJAYprsjQQl2itj3KshsFxs6sFsVd1ktJT3LEa68yTvp9mLqtfJHZMpIj76P+07ec25zgbrIykFHhrI0n3Zn55Z4sUVKJCJJvHQvi69JetkvqrgrGAS2GHao/8mFaT6XXm0KtZxG9cgzSdJ+KKTLb2CUU+SyPtwxnbGsBXX53MNSpyJJte+fVNzpiTB24y3Ot/3A8ec6ANC2vkU72E90FHHbdLScsuqvAm1eKDtjOIa9YmniRVwrjZQzIBxBzLC1/ejll/b5slWXjnjP7mDD7UYeU7OxKVBE94QDyd0lGlumF0nYsZwvH43RvGgsTGhs3NMsuMkfnOK+f4RXok7YNg+tM45LbAiejM/Kx/IJjjlYXhDbOqe2dVMw8/waY+BLnoYynJx0Kw4Ut9zpBMmLA9pHjc3GJi1Lk4TnaCkc8mJXmcD4fPcqy333uZYCw4V4646awCmzfUchxgxYnsuNBGl7JBZT1UDbIyKMs1MfKq3CLG9L3eLc2eNdzY95dqbjx99TJ/2VPpkVM32efS94ny5UBCr33olSbwMX4u7VWujkF7ChxUWWNwkFZrOKwBZ9enM9p4BFqaP9BgXvdv9LknM2eeJBry7TVIM6rV9t2OGxgL4ZsokYSH6YjZ2y9RLeUzs2SGdHzR+kGMQZOjmrrqrumcnrcspNb8zwYtfM6f+2cs3rH270bmOEdKX6atXCQqm6arHVNoqjKM08wax6dZOBMDX4QM4mMYj92hCTt7ZPPYec6PcPNWrjazdp9pYr74dTl18J2WdIxQE5GOL+Fbo8lBV0CtgPu8e35Kudb/MWVRB+8WVKJAj2s1vvZC3moHwOCjb/prKmDo4WXEKT5xvHJyeV/9lSEyzSSpFxrcu2kdaibQ2bM7M7Km+ZnGAZVls3zsc5kuWk/xQzPCulYSJ/CFDHLX4S5pYKa5liUVwkgCKbR0N8/COQWwOpS/xGHQFQjtT25D7Q6rM3mAz4gH2MjfvfTQ28rX5IdV8cOv3XKVvM5nJynlfCGiWhVGMQ/apRdjqM1v8Mls5Gna0ek4ky8sP4htRyeyGqcnsdhLMi6rLifTKMJQpA253okkzKg32Gj6QJA2a8RmkYlScwtCyO8oR61Q/htBw5pl2Xr54Q/eAjMY04fJHhM39rlNV4ief0EOpRWZZFGeWjvor1RjiBbpCNOUqL9Qcg5IDtxZ+PMDj6uZrAF/WVQgXjRPXXNBPUUe4ngpRSLYFm8ElMc2gok5bXtLMLvu0vP6Wqhli7BYBvjvsGsxmnI1XlZaspWTB1clGDddfsDJ9rsJcKY8IfXZRXxGmQJ1ndGhkNBSUP96GXk1eKYPp7NHyc2jzpSY6xBlXIsp8+X7EZcy8byJ5aKNnN55zlmV613rDrSDcx0Gua0ARNR98Lo8xTH8XxMZxvOETVhv/4cbEr8+YVRQt2CHSt035tLOUFjy2Z8qIH/Kd+2zt9sssq4WgoJ/kNGARS1DuLlmzUHU/8UrsuvnKykk38dR3PqGH0Lj52ANvM9MQO5O9CIMFlkHQfWGt1+nakBvANp+REO2/w++TKWPRnVTmJV1OeoC1kYPexGFk1P0gPjxxFY21Lz8PVAGBbnFEdkoHfo0aD3uzHhXyvScrM+S4ea/AEo8XhQIoEnTtb/VUU3IqdQDdcKW5gH22s/vza1Mi8UTRd5vZMg0tc/YlqLfM9fLYmMyUzLD8gQY18OjX7/R8dimvH0mOi3L+UP9UGQgPGx1ptUqAqosZO5lhVFfp4lCWG1VLujkOumKvFU9mEDME3zhgJNYEPCPhL8V/8i2OfLyl+WYsNEZiPBs0y0Z2jvbiJ3ELNnUanepblXbqUvpYjFJVpRxnWXxz47PgNhZAWcHBU5WVxJhnJg0rq7fqKpW5DXNim58uJj2rDQs4sE568ISiVGLuam/eeLLczmNdOsR7aq9N4+B9U6uee/BFo4nF/snnz13iFopg29CtGmybVjqswiCMWzsK2jYjZqJHOGWuHa4Eohr7hMP96XPb+YYEE/8DsYGFbgplbmRzdHJlYW0KZW5kb2JqCgoyNyAwIG9iago8PC9UeXBlL0ZvbnREZXNjcmlwdG9yL0ZvbnROYW1lL0NVUUJNRitDTU1JNy9GbGFncyA0L0ZvbnRCQm94Wy0xIC0yNTAgMTE3MSA3NTBdL0FzY2VudCA2OTQvQ2FwSGVpZ2h0IDY4My9EZXNjZW50IC0xOTQvSXRhbGljQW5nbGUgLTE0L1N0ZW1WIDgxL1hIZWlnaHQgNDMxL0NoYXJTZXQoL0svY29tbWEvaS9wL3N0YXIpL0ZvbnRGaWxlIDI2IDAgUj4+CmVuZG9iagoKMjggMCBvYmoKPDwvTGVuZ3RoMSAxMzY2L0xlbmd0aDIgNTkxMy9MZW5ndGgzIDAvTGVuZ3RoIDY4NTIvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjajXQHVFPd0jZFEIKI9KLAAek1oUqRTuhNutQAAaIhgRA6CEh9KSJFFClSFYKAIEhVqVIEpPcmXamCVClfLO+9973/v9b3rbPWOXvPPDN7Zs/zHG4OQ2NhZSe0AxyKRmGFISJgWUBV7xYEDIDB4iJgsBiIm9sEgUXC/5hB3GZwjCcCjZL9D4AqBg7D4m1qMCwep4dGAdpeSAAiDkCkZCHSsmAwIAYGy/wNRGNkATWYN8IJ0BMBtNEouCeIWxXt7odBuLhi8cf8vQT4HPkBiIyMtNCvcEDZDY5BOMJQgB4M6wp3w5/oCEMCxmhHBBzr948UfPKuWKy7rKioj4+PCMzNUwSNcVHgFwJ8EFhX4BbcE47xhjsBPxsG9GFu8N+diYC4ARNXhOdvuzHaGesDw8ABvAGJcISjPPERXignOAbAHw4Ya+kCBu5w1G+w7m+AEPDnbgCICORf6f5E/0yEQP0Khjk6ot3cYSg/BMoFcEYg4YABVFcE64sVAmAop59AGNITjY+HecMQSJgDHvCrchgAVTYCYPgG/7Tn6YhBuGM9RTwRyJ8tiv5Mg79ldZSTKtrNDY7CeoJ+1qeGwMAd8dfuJ/p7sndRaB9UwJ+NMwLl5PyzCScvd1FTFMLDC66l9geCN4H+bXOBYwFJMBgsLSMOwD0AuK+jq+jP9CZ+7vBfTshPM76DoAB3tDvgjG8CHoRwhuM/oABPmDccwGK84EEB/+n45w4EgQBOCEcs4AB3QaBA/86ON8Odf+/xw8cgfAErMJ57EAD88/nXygZPLyc0Cun3b/iv+YoaGFlqGhoJ/u74Xz4VFbQvECAsAQaExSTBAOQnyaTxi6B/pjGEIf6U8R+xWihnNCDzu1r8Nf1dsfcfAvD9EQc/8M9c+mg8a+EA379Jbg2WBDviX5D/M9V/hfz/GP4zy/9G8v8uCOqFRP5y8/3y/z9umBsC6fcHgCetFxYvAD00Xgao/4aaw3+LVg/uhPBy+2+vFhaGF4IyygX5r2tEeEIRvnAnQwTW0fU3W37bTX+qDIlAwQ3RnoifvxVAGD+a//LhpeV4F//r8MRT8pcLjlfOP49URzminX5KTExSCoBhMDA/EH7I+J0kEADBa9EJ7vuLxICoCAqNxYcA+PaCAGc0BvRzohBAVA2OxMJ+WkH/yOzohcHgxfVr9vhj/97/UjIc7gt3BI2PoB3lwu9UhDccvlK+6iO81HtzkHvJ/Am/cMA45q3X8eWLj/jLMu7PYvaVH3U2X5laUOfbU5pgPw1Yq628GFWXbFT/I/DELvFW/1I9aKyP4cOn/DXl122s5NeETZSWA089As1C7xLXEr7X5s728Lpx2TCX9tCnVcP3dRtusjtyZMlouUxKh+IENyAcbxpnHfpiiDvHIXOYiZMUK8xKJkCz7Us1tLc/SPPs0zm7dqIgKGg9Xrwg4Pac2IOjYf/plyZino3MXMy3mViJ92i6+3kCVFZTtRlHAwoLpj6M+dbKF7A/oxR6PCV8RWRVLL0McSsWVd1S7t09/g6ymP0ICOe9+oF2Mbm8qJrODsNpQF9WbxdLiy0XvwtnXX3nrDLdsG/W5Hzn8bUJmYHX58AQpaXrWkhNU8CPSo/pzq4PwgeRj+sOO6u7FpqCzF8otilec/GBCKi7WsVMTcqmsz4mwWF7iBrN4Vp0V4QmvB/dOCGBRcgH3P+mcswCmc8Hg2/fIGkh7L62KZkd+O1BUEnVtv67uSHqUaQPjU3YeZiU/rnD+8fb2/nMruLq9hmRfDnp6k1/5cwk8BrJVcCrhsJwottzJQwiakV+7LpJ85Jj39q5CiS0NFqWRks7Y6zv+905kskT2TQrMa1/KJlnxLG4Hivcs1oV2qESFtEqs++0Or9fXKxiS/8FbXa0XeITrdL54LOJdHjOX+9uhTxr9DRI01COJXp+sDDcQu5wfcNExZvDrTqBytzk5vFCT+PzEx8hnJYaN2/BuF6bzhf5qMBxmzG1ghbmVyFKDH/tVYeIVbw1OOQjuJRxZfoBd8byJPF1u7ed1WbfzlhUrhqbHOZe958jaBkd6Fng+Ni/wBWALLF+IdFaA8hJxqURIxN5OEYXQp7uzt7ki4s5c46pmTH1Ua6cuFaePvQBPrve0X1B5frFt+JgOoXedU0gv4g3Y0a3QJDufCQ56868f6bSMXtCzc1ST+uKGbo9+Yjim9aNloRcs2qK0aZfyfuWT6QePRvw1cgxQrUXX30aw7yIKOMeScniGO0H6YoRMJZbZT2l/r5QEMzPEeccYXGfzHGVOpaMYEF+mJeuoyIh9dstWkNx9RyOcGHZcmpe6rmzPuXL2lRlIiTjrRWq2r0E2lgcAU9LgDTpQ6ly0PVQs76Wvsa14RHN4avJu7GiRV2XoaMuPpxQyZQEn2/G0VyBZeehaCP53pXexxQU/fb33shnskHARYFkaefy9V/ctiqrj8YyZjpdt2eyw2dLvoSQVVW9epWu2Mlsr7grnbrGQGHXnU1i9ejd7g1fQ3kJyDDr7k3sp0NNggkqSjmptNqaIIyOF+SL+I+npqoEJIinDJWa2JKK/sGgfT8mtpGze45s3NazHlsh1nV1yxIGEt4cVul2B1p1ua+2Xped0H9YdoxlAc+yFu/oaR/pPbMEv+xO8A6QmmVKGbE+bAGIMM88Op9yijPfPCBOyTQZsNQRmdJh+trJ3yTEqNGlEwCLVr2topH1FsTG6jfJdzlGhzeyRcwAPGj2uFRKy5CLC/njy/HLGuFkxjmrRqa1IXhPZ+xhOwsZs073KI8Yt0uKQ5l/1IF2N3OakBf6nt5LsVYm/xmvpLTsqCEpgaf1As8p25opi/vPZd73Fs4qtubppDA48jN9/HTw2Xrb5Rm2hEexaOHBp9bvP1CkJms+b5OXG7iynfStVWvS83snDPZHPikVmIv5sq/e8ODQdRooXbiKXru3CDETjetQualU/v14gwOc1GSZg/Y/4to46jtoD+FuLXnf30nv83nms5gNGtcyC5TanSpquX6k8lrNUXHbhJIyylZBLpONpTqRFXX4SR3cb5yYAVihlIXhTLooSeMdH54i4bXBV2VZGv6HhTJfmW528CYt8nWfNmiduOofV44ELBrQAJefQIh1vR2H3ehJEFXPG3k6OPXWv7q1KlWbD0eWMOWXuE05cIPHn5AIHNs/XbvYmpM8myzqvNeSiXzLbaguliPLZqbMb6yiK7osj2PYlKTFqWYp580eZCLlSgM+NlLwXa8bsyBBQUmTOMliCZ4QhN8IuDWGTqJuajVh5Fu0M98mclA+C9YJROtR2NGODD42p549u5b4ltJvUW/1XCqkOLvc9u0BDJvFTqZkAFnLEc0kgH5jT3kj7sd2PW3BkUpPb7RPo+326bQVsdvL8zr/T3HQYFJyGiTuqJizWVuhFH5hzEwlwVzlWtCKGf/DC1PGHZMIZqGcrdCZF1u3aBhqGAre1kPj24lxbw0zRVbf6l7oD/E9vPCcyc6q18Ismpqxffe7UXYZpYnh+Z53WPYRCN4llOR+NsEShgl2TT6uSfZi+PYwPM5eEBnAQnYANzoYeWin5MwoJc6iOWsI8+73Zzbtobd79ayH7sPtYgibAG6xPZ6mLEFPsN3BPSRSLmAa100eWmIkzrBqZiY3ltPQEz14mZKm1EDEIGsOIdRw40bxCFvYektkhMuzm9Y355Q4oXPHOtBDkxyHH08S35mFPkDyIV1KmzInHAZK4qc5alZxw6nDH60/nx7BJIwgjK+67wHFMvMeZgU1L7oLgCRP27sbuZ5OD9JRl/0Tm8guluSt5MuOXNPN8me2eUC9jcNQxBTk4sK89dXexeppSMtwaekizniSlcdcrn5GIaX8CKO0yROgBlU78jrkS2uGPfkGD5SVmbq8I5ODZwaQuTwrVYeWS6OVvOO9BOYTfUthPI254FAd4IyZ/qkoghwxPuBF7pDF0qwKutHe6q+sWTD8TJwQ5CeyY5XtWzs/jYUoe5XgMi+5K38SsZLIMx4Tc/BJEXQEsEX5m/pwFibXa2rdFdMUbZxpHGz3FovlBKXdrfN9fJlpLOc1QLbTkuqlPVOryfQ0157ZTdWmalQdfN7+EsLHpnwJWU3bvwmxn7rhJbLrJbi5MM55vKsgty0U7N9Z2c8NQteXzWb7EneAn3jepx7pYKYxh0B9P20OrT6eBVzO3BLjq3zN/PaqJqj7MzltrvvfY3r8wt17p4kykzUyMW1/rK1QBKMi8xcXParGUrVEFXLcisU5KV0/KLxB0HdXP2ooVucVYfagXF7j16FkZCj0mI+UYixOfzfmOaHc3OcCp7OXzT82CJNKrpzMCjTEyH94nvNooY02nBZH7Nn4XEa+SiOBUlXdPsLsS67r3NvOVm56o+ReaAHa8G3rfD91WDAX7uFbzn5x8YYDQ5lRmfXb8Z4yUYS89gslbJTrmAnzI1n9lIL1Ds/BvfaUanYlUuewSxm2rObTETxiEj40RUh/imWuITHzLdoKn+mID+sGMg7neUucBs+f0Xb1mLcIQGlspkWf2/vh4ozKyaM7U6yNHjVfhQrgphAmDN/iV231gX0nuzw9+7D8SGNuk9f6dTrSCWVkgrfSRtatMAXpJx2We220G5Ye8KCG8rFrlwpiD8YsowyPv4N6oYSm6rnru2dx24M6YY3DVJpxvBVVCoS3jZR6qbTG57DceYvnqRmNVoX80q08706yXXtRmZfKmb9Y8g5NwprfmLR847XABA/Npomi7FCPiLV1cxgoyPhSlUAVK9kf+56CSqr0WQN0oFWzk9u2d9MdZppRX+8xbNjrluXZkE3C8k1zCGvbAk6iabznt3Rnp+qWcyWSv0OecAXTYtyUzzc9H9E1f9jdQd2eJRZIq79ZdNDlubeNTqdzUApI9BuhIONQVWWPDWB0JBMxD779Zn2LbRnMiKKYc3CPcPE0fOLEJdxvvV/WO5TOoyvv/v4CTQ0VkvZSYO299Mobq8cina2pbwSde9v9/Qq9w9g/21Wo+Jd2RT2L/C6m6D3UQEZK9HW3YW80qsWCEJbHcYN5ON8NlDoZxeTiM85xEUR2KL0EJbdU8jO2ufct4hlRWskREq0y8uVlMjl7aqY3B/hotToGmnL/0vTs8WaR+izMKvq+86Ghr0SIZkQ2feDXi+YnlXKTGmwjdFcsaTnFVb5Lju+eLB9+1rTmHCy2Ij2EpPambThK6h/K4NwVxKS161VOd6s8RYk3Y9648H0v8qU3ErqMVbAqnb/Rk6zh2VYTKst+i0vGRoqOJ/rYza+UH1HFHOPd+eVO8755Yaxu6y0VW9ZbKjDk+zXf13bZo5aZshWSei/KLswub07SbcVcpH1QX0JVdTW48IfonfyIubbxHI6gGfuUzTU1HvNrIR24xREji1ouUs3ZFytU3Vit/JIG8uCOYZFxy2vflMZQ9MWY1Ct239dRU6HNZJTvDE4WsMr6JMK6lKjU2MeKJHYzDLZ2EZMudElV97IYPiTIxduzverbKNRRiZrZloK3vmmaYi9LrAEppKwi3xu5J0ayFOcGD/I3Rr7JPKoq2BGNl7tozMx7ybZ2T3YRe0G7/I7SVzrf4tdh6nxgjS653jr6SSMPogdF7Sl3TXhrt7OuyGXJP/S4ihpb9ArFInVVIckWrYBkD8tjkEfiaKvHQEGo4mJsnz9E1Viw8VqeIaTlHhu8k8hYrIdCvFg7VW+iK/wRku/bYBUXGVsdvNNoSdTNXV9SR5rQ/BQeE8jfMjk2A4vRTC2Zu107WCbhFW8a9L6tdaXleyEpnSnQz/Ex1fLR+leCI44hQi2yIculwsFnzDrcq44F6mU162w/0m+qjHdr2VwNMSaFHADXdwfrqF0vd1sZReq64iyFl+7fM8ac+cEkAT1DS42i4T45NpkL8ddsLhT1M1oSMMRGKEmGJE3P9vOxgA4zEhUoMlvCqjvVNO9E5V5Z8KTH0N/3nUoFLYs0K0z0jZSV5Xy6+7h0Atkqx5Nadl1+ZeLpqx34Q37n/kWof7p9dXu1Yu6CliOBkrEmT6r8OUlD0uYFuDeK4AZtaCb0/jXrBbNynHjbLqxEmcPPr2FB9tugIF2WI0ee7zZJ6n2HT3pnI399FnUOEp9NTV/7+Lx9gVOjKJW6ZIXXWc+z/+IQu4W56WnQyX5VdY1la1W8LUXI0Cj3nZ52Ds13W7EGmudknT0P2O2O3sTKrUZV9O4EJ85r13jnXK4ItZm6DuIav4ijmuRVdVUMlUyTDzdmOmWt3/j4qumbUnIJUyb5U9jLyhBhujTlYMeYyC9ItDlhpR7fTgIphqD6xfVJ+9E+lGXAnUl78UAkkTdrqX0drxYy+zR4rpxjqfIkZ2/QsLlrPSAll1S97MnWzV532KotReiY65rBXWL7zOrN9AX3w+NLJTe8/Ka4MDup07uPvEDOQY4eLYKSTX73OE6nbYYzj68eNq5fNhUqIXyHzeZfRshq7mS/M4honeQrtYMbhH5hhZq9O/PoI2VQeOm1OtcqrCEb/flbq39YVkS65m1r7gTTDe+xRgI2yj7/BVumuY8q8X7cIfom8zVvxG8ylVqszSk2uNFpJx0yCA+Khx+wIhZGNZWmHoY6fwo7vVtzS2Qtfe/Umzek3U2EhrfHeKFZrb57HOl3ws4kncyQe8lyb0T1dUmb25cq2zdlGl6SdhrpFw+rxiHPf1BhReOGKM7m4rvnt0FzEn+VQ0pQ0XY/1BSC3EkFl51xLjKuXKzHhW2ENkpbekf2Y7YDtRo6+3KSxaT5Pu1r9RcWtTAeW8qF4s7K92ctqRFeL0Oapxdbdt72b60P0FhirnxhVdvbl02In3Biu3irgHgaSFbGUl9aE8Y9FKLjn6+D4fI761znP8lYDb3wOiczXmGS0UliDqduNdEpgllwLfq4dCa/MQizmifyjb3q0R6W53dBiy/1vOHOFUndFzitRseqoEBXtkauRH+1eVrTT80Pfeot4wXfnr68Ldu7tdL6Kb8tA/J+pwoZPA5vvNpOaO91qETEEnjh5To7/chU9Grl0w+2E1JXN0Wz/Pp/2MO2c2ied1DGWJX1xlyxH3jXrZ6V1+zD0kSyDmO7einHfxmxowsLZ6QJutP1aqVT6UdezFJQW7Av1fKW+RuSi2lLqCjPB0/AKIHLAZfLkIq3i/x3Yx910cQq1Kzc2GB3F9bt5+nI+0G8pWOvANhXFnI326fmbk6/7/TEKdZ5f6z/YGt98pdAEv3IqVHX50J9B+cIwcmGdzPhWWhO8vjxF6bkDf79uy5fXXpgiw8eelVCs/vT5FtoLY79pmtwL/uIjgUaiDpc9s8lFC3EbJofShRqPu3JTR/deWrb1OehC0dXZDwx3di9d+mgICmpT1phnf9D/m6aJuphFlFdYYmyNOeXALXIW/KiYthTvbb270eeS89DftyV0bL4nuScV5TRTzx//un0hyDt+HML9fUXqVc6RL5+5mjsa+EU0J40lr7cOGHJVkZ2bZVk684kJSvPwLjyqvYlweLl6Pe19WQ0EzQ391L1c5a4pLwrjFlMLKn/uj7JVKr7+Fyi98XmimI6wSfe/fWDlqNgKKOTmYbuiJDgCoMn/UuNs/w5W9GaIo/Klgud+4SucW1UL4+ObrO99A9XK8IqXRI/gNM8TX+2qjempHCHX97c1X5RryFa4Xw0t/P83mf43IaZmvZw4OO6OguqoP4XqpiYDsYPJh3KHasUzkynRE/yklIMg+RIYjgHG3T2B6/3JppkV1+GHhxbr7CcHtgOJROzshBTyKWRNwZ+vQWoWbfep9T0GpI6N2o77XvCm2kk3uEg53u95gG7+C67cbcs7o4D9cYkdw1WO/GiqEJXjsH5ZgYrxmwmtJnZ1+ZVLWmDAv/81rOmKpsQZOYRsST63RWrlZw+qNwVIX2eQl5aRFGMdbm+UZPWjuZQz/c+9kZFE9kNpTHoFuOK/jnFRWOLpmlwufxL/nrXOfMR0tC3Es61ULVq14RJkbHXJkT8tsYk/cJsESifoFMhiujb+jXq9H2qhN/LDigsKeJvkcCr/JuH9rfFGwasQW/GsBtnZ5afJe0TGKH37NJ9m+LDiE2zAmN5LZKq2qPCNZSoTEeuSGlRWLOnha9M7SucyHaa2f0g6lQYfi4joAUOYhissuYMGKMn2xI3nfD/8K3TaxGa4UzcPZ4fsWc4W9jFr/4w+gbV/RPTgoxjH/7SbRfamI/0HkOyc053rhfUlk3RR7te9GinKMho8ERTCtcqJYF0iDWkExY4SwKN+qKIlnHHS8DtHX/PwIj7QXmtusOVxrQxBbIhzrhht4YXzcriWwkj28YUYq03mRNHrF47VY8ln2hnWE+9ZmArubbD4Lg+wRRyckQVSPoR++4OpP9DuvIK5iyGvrSxv/SMuVvbu1lIhz2QkHynMuLTI7OZhw8zQE9O0o3CK62mZuRNmyxkr124PzGp6Ci4zz1XTr6hXz+lYiwpE3kY1vSaMB6Xxdky0prx2mXV5EvD9KKtQ5F5GxnpJF+FABcQ50P68nCVnz4mLnkhwpZOnwNT0mLpXyBfEMnDiHksp+ykpXrVXjQ6NAgkfAcglPK3/ojcoeo+jcnQkWAR6AnVEWYenTYvMF4yjO0pVcZp8Ia1MrROHTO+7hvoVt8SG+vTNJRuYixj27BcNO8UroB2l9jWR6k0SPnMubXlHlDlqPO/Yzha+aYhGV63SkpZOhA348QidEzR/WjhrFBzpy7Y6emhf4HZwEb4IkZOrjha5w2plFBoXFTEBrQCsEnX5hfTcMm64HSQaWSh5n16K1a0RbuWrtm1I0pfYht8EtThmijEbnj+0NcddS/eGoe1SG5Oe0oPGyqRGYyTul1PP9N10NfTW21u3jiVrkVoCMqtvBwtiSnId0wiWPiq8AIrQcy771RbVh+8TaEyYCDjtU8sd/+FyCjhTJ46pyDtxIMmx3yIn1hlsT19YR99mEIMrHjjfEnha1iK75AOJWNgF9mzPdV9H+tKrKnHX+H65rvZK1vjHpkN2j5Flbp8KSJXfFtYzRJ6caFXk+keNTyOY1CvJuToVr1YPrGQHLgSGfg5UlZPLojCMIh1/M0mmFwuvUGwaM4kQHFti85bwkdgbUqTtcneg+hISBId3BS03huSK5k/qR4lMNk03saLClYh+vE/xgFNtQplbmRzdHJlYW0KZW5kb2JqCgoyOSAwIG9iago8PC9UeXBlL0ZvbnREZXNjcmlwdG9yL0ZvbnROYW1lL09RWUhQUStDTVIxMC9GbGFncyA0L0ZvbnRCQm94Wy00MCAtMjUwIDEwMDkgNzUwXS9Bc2NlbnQgNjk0L0NhcEhlaWdodCA2ODMvRGVzY2VudCAtMTk0L0l0YWxpY0FuZ2xlIDAvU3RlbVYgNjkvWEhlaWdodCA0MzEvQ2hhclNldCgvRGVsdGEpL0ZvbnRGaWxlIDI4IDAgUj4+CmVuZG9iagoKMzAgMCBvYmoKPDwvTGVuZ3RoMSAxNDA4L0xlbmd0aDIgNjUwNy9MZW5ndGgzIDAvTGVuZ3RoIDc0NzMvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjajXYFVBTs1i7d0pICA0hJDS0lISHdSMMAAzPEDDE0SEpJt0hJg0hKN9IpSHcI0kqXwD/6feec/zv3rnXvmrVm3v3seHc8+13Dwqipwy1jDbcEK8BhCG4+HqAY4LmathAACBTgAQL58VhYdKEIB/BfKB6LPtjFFQqHif0v/XMXMAiBxORACKSZGhwGUHZzAPAJAPiExfhExIBAAD8QKPovQ7iLGEAO5A61BqjxAJThMLArHstzuJOXC9QWgkDe8q8jgN2KA8AnKirC9ccdIOMIdoFagWAANRACAnZE3mgFcgDowK2gYITXP0KwS0AQCCcxXl4PDw8ekKMrD9zF9hkHF8ADioAAtMGuYBd3sDXgd7kAdZAj+E9hPHgsAF0I1PUvWAdug/AAuYABSMABagWGuSId3GDWYBcA8m6AjpIqQMMJDPvLWPUvAy7A360B8PHw/Tvc396/A0Fhf5xBVlZwRycQzAsKswXYQB3AAA0FVR6EJ4ILAIJZ/zYEObjCkf4gdxDUAWSJNPiTOAigIKMFACHr+7s6VysXqBPClccV6vC7Qt7fYZBNlodZP4c7OoJhCFe83/nJQV3AVsiue/H+Gas9DO4B8/nrbAOFWdv8LsHazYlXDwZ1dgMryf1tgYTw/oPZghEAISAQKPL0KQDsDAB7WkF4fwfX9XIC/1Hy/YaR+fv5OMGdADbIEsB+UBsw8gfPxxXkDgYgXNzAfj7/W/FPCY+PD2ANtUIALMG2UBjef6IjYbDNXzJy8i5QT4AxEEk8PgDw9+ffJ1Mkt6zhMAev/5j/GS6vxnNFZZXnnH8K/rdKVhbuCfDh5gMCuPmFgEiuAgUBIsiD3z+jaIKgf2cB/I+vEswGDhD9K1lkl/6VsPvf02f/ezE4AP+MpQ5HMhYMYP8PwU2AQkAr5Bff/zfN/7j839j9O8r/g+D/nY+Cm4PDHy37b/X/oQU5Qh28/tYj+eqGQHJfDY7cANh/m74E/7WuamBrqJvjf2uVECDkDsjAbB3+3USoqwLUE2ytCUVYQf6iyl+43u8Fc4DCwJpwV+jvBwWAHBDwv3TIrbKyRz4arkg+/lGBkUvzzyvlYVZw69/bxS8kDAC5uIC88JAjRkpCAB8+5Bpagz3/MBjAywODI5AuAGR5fgAbuAve73kKCQB4baBIyiLRP4CgKIAX+U79W0YOjBcBcQH/LwSIRDzgf+R/5GLl5uKC3MQ/XEEm+i/5z9qDwZ5gK7y5abiVeIhddUjLZaUMrQf35qjkV5bNl2kc3D5zLq1u14TYyRwVGUErLucyyQNdxIsb8uxn0vMMtz57jZ+ww5oStZpvfH+Zx2uPbzbjzX6h6B3L35Op6aHDfcStK73le+vsqx9oj96I2q7MkuPs9pRQM5fs0qNb0bOmp3RhOHR6U2urQlgF/1fpBHe0XpRJYNEky3vLzCkqJiwENx3OE9KfnkSTZ+dfSbPH7hmU4znx/PajBQp8jFb5Y66mvJfKdPldO6gfUxtR0aGfkQ6Ps/rIbqcoU874FBcs9s56NkoUMGQ/4Epd5Cbm2eZ/VwHVfgOr/1zlPjzXxvctJxkQwkbbS/YtsaqkntzchUnjYUWz+RsyRJWAPZhuu81Gdp7CRHuakSfhLKtg78NAGxk6C16cdk9cFG+M3484R97Q7FyZBWhMqcDUAtWub3mRY4Fnpne6Xrj29CeqePD8B4LuNdvZZRM4gzVgG/PrhnttWYwmqYzC2WU3y3Uxbkk+xvrXk5ObUXfvY+yxUfg1uQBFHHcL4caPQNHgq2Iam/aKWZ18HXQl+m8GFyQQQQ2YhcJecO66sC+1xlL8DJ2wsABNNyK8utTpDWtMpenJjH7vdxqRp4SRzPhJ7YYjtprP2vcok3+hYgwtB7PdCjs2JLMrYpDQ5KuMyob5PUoA3o9HjvZjCuYOZD2qdH3UtSDv+eINJP0DuzwLzkuRH6Sv+GyNPD3eFr6/TvCTkQbsXBfPQDpjn+YpujEd4RV9tvS9Zt0b3lm9XByp32Nl420iOSk0CaGZJMZqeMbCsu+2WPFVm3ZH6IxGj/idMUmJ2u3tp6LmhGCVC5zsl9RPY10w415ZlhRo86gP++kJCxCmj/ilMsuTPp0lU5T3fS86wfRqb9rXD3aW4HvobFFN0eEwL/mhUUaL5vzUMG5IziD6yerl+HX17EYhiYPjoEJgvmdl7FJ8Xbo7a4afSfI41XSJhHQAkb0bW6c1+1oGOfQj9t5eUSxXsM/W16FZdK4yOzcbRaHMn0rTLHDblo1PwLeEBvb641mScnt3KKZiQ1N2GEPivPwJZlPYCwqn5poZAbf21ZKn8t9/5lm6lS0ondY+d2cHXL9/S9ddWyt5gbKD31+KK6h9fNRaOiUR+y5SHO5hP1a0pSANXFXjGGqOqTazEGDppQhKsrRQx12l1g1p7xCxI1MMvJzSUrO+qRMagdyePef+2otnxD0gQRd7ppyhHz9Tk9B/om8ALz5aNDuYtC0l8sq2rUBPxR6LfE4ba7JeEywwHkmkOnLGuYo9y8mGPtSq+ECwkOEdd+FdbGl7S9fTaAJHzjmtzY7z3uVW6rzi+8MtP/GumZVl0mWlZxUrT4+3Vww6Mx/Mmvk9rjcV/W7CfQjpHK5z3yo4HDwgGx2ajtoB9GhYJWz24Eg6JjFfXKtqP6ZURVNOApFpeptENv8Su+acfkC9rpkMo0m4LvoFzfN1GxFiH/E1/0DsWz/5EEJV3IjWv1woJB/KxH7ANcukIx+TEJPRD8THKv+EsuVWFoH6k0VjoLLM9MtmRgvTXNdz16uoSmNHxfXFoVSSCUewU4J+rxC2f20GFdHHY6Yc4YEHgds10TtLd+e0GemOrZj52LpiA3t5fQOOp+LlhWZywRzUYm1N2C0wr+bwYEcCdlOlPRX6sYdqxNb5n9Sv7Ys43rRJb7RXH9noVEQLvXuF+iDiVORwU3xngQNX82Iqmm+krNVYqS2l2vOV6q2HiS7Fw3lc0WUsXeavM9eUAdSP7gi5rF1AKRyodRnesMernS/ob0uuSqzkWHGE3tQc21JC8pI3FdsvUoiPGQeo2YiczyNlDtXRnLHbReVwR2Hgqq6G+zACbXun3rnukbl9A31ZjNhV0R3k/6IUnivb/E6LF2k4mXHVrdg7eNdhd/QbEPkutyfbcYOe95fuBEuxnYS3nro6plks+1TMqpkmzKHm0faC+C/hxp4hBkTCdskZxO5m9EPckOixy5GdhfJ5FRR7gjeFna4+18daWIPO9zN9ji9gxqaUrhxs9FdM71+yf7sNNTFtIkuCdjXGF5lJAL+vdrdkdqHpd37eASkljKTQxPH1szywQ81KmAJ5F1yjWfKyIDhfXLOumtgdbvAPmmAs7Tk11gexg5Yo/KPRMa8s4NzHqpdH0UoMUi8Pg2k9m04zzspUnru8e5nL748Zaq3Y6LI+EhjfFgs8MSfQV3L6xmC3MiHA+y5rQk65WqPPCRSQiTNUIZ6vrNTDKlT5TJY/u96ETW2pEkSoFQF1yku9SeZOyHNTpSlm2abBlwkPYX5GUleBcgddkt2Da2jILbn2U8e5UF9Wr9OnuUY31TR4q4U+rHl9RilcwHpakuWNHiIZHHUikszV4E5a5ATxiKRMlED/FuKNu/jw4UW6g5gRNcNeWS+FaZ1dxYYCue7SnmZZvI4es4ra9dO7X0Qv+L+cXqt7xF+VvSKBE378mbWAUh/zslEoirjY35ixmN4F4XhFoMxYEz4SNX8WNS2Sqcm0k9Y54TL63Df9YyMhsVWGHqmh+jw2j+ElhKXuSm6c1HUElbyFSOzLWHUce9mj7nXVlupCmufHXaiWvlmFUjpUxoPzj8OMzhLSntZVNqJPTgtHbkCYfAAEExLxnNmWlIl7grccB25aKs54r67MB5hOL1VZYknYl2thpCpa1e8U4ce/bCSEjsGo+mUWdBpNXxG5GxqdrJXloVuv75w2jL6GTT2sCyU0jjBDNSlyPDK/QgXTrtmPp26SkeLiwN+nri0xrqVAAsPic1tuqGlLB4lXBN5xEYrzzh8soxCNMXss5O09uCI3KSXcXekT7E0kZ9PaH+Fz7PvxwMkr5EEGR1IHXYXZmVn+h/qdvgo8irBfZd0xAcqEq3nSsrLtO2yfzyT7LTKouBG8HQl2z7yNGT3yLVnM/ViSIktRu0PKWBevTXN8cGVr2IcrNH5JYAZ/vj6+C+fkCyJVfrLfzaF6MptKX17YkCJuQcJGES7Q/XBqCkPpkViIoO9QOw57KtQVZjjs5PnYXrlRxVGuP4jDncn4M/04MbEInTIj5DwRmHQ4/T15ZqcvqedgbYjr1L3oHm178qTduD8oICcXTviheuDTsw7X70wk7RU+97je6S8TpFXptDvdIeUYryCR4vJjlQ+pU/SII9rnFakT+3pEmtY3UZZ7CWUET9hfTLPTbdZX2/+KSsbFt11weniHEKAWIih6dDMHaUExe9HTa/SepN7ybRn9HMH1pQY9apabva37rLtC+I8784anqUK5XqkiIyIKwLPPXQ8P76mcDtUScjJP9bKirHgnDoQHfjocqtzFOu//mv2i1HtGW7lE7fiGO03iYnsvVtTg8cINVsTkC8upoLQP+MHkYKpCZubLaueoCOYAPezay7Ucx4Vv/FjEX9girsavrRz63H/c1y5MLFGWyud5PDhLnIx8jcqsb7cTUP74R1+U0mAyWoH/VzxePplREo5L8XfkP5xrxegcSfGdFnhs1FePPlpJthSou/oejU1NNuYUOrdOUVGippy3fl5PqjIb8Fgf3VUxrKdulgcQZ+7KPGfkvLHalvLs0BUzDAqI2OYblMjTvp7zLzskHCzLdSwpSRS71lvRTyJrS9ZsxtM14tzbM+VVnL9HNW1QZWvt8cJWts7w9rV2kEwo7te2+E6weZKV7x2qy7CMCxH+BRSsi899F50id8PECXIezUHz3xVOkxhx3nU3bfVmKLI6uyZLfWGPl2FUZhX3YoHcJiB3rZ5q/ZH907GbBXp/RYMqDIV4bGzXBLcpEjR3bw0Xftl8FK2wiQIXrMRZ3XF1gJ0B/vUcsQHHTXj+qozqTuqAVSVY2LspqJL4w+QBPc/LqjKBJ8XFAogLnp8zU7Hlu5cvbMi8f7ao+nsoBildFd+PQSl5sboKdZ1Zrr7BZDgKHbSnYtHLb83WquWCbsrJKybaB095F6xHpFQQkRHXP+QKYvidu/rs5NAW8ls70XvFfhB9JtAsg9qY1SzJYXpVdeqYVQ+a1HlEc3UchRDmtawV2D5oP6afuFvGs+pe12K0ihmdb8FiJy98Wzf77b6/saX+oaTUW44N7xT8ea9HPY/IG03tEpQNENwr2Lt09a5CJ4yJ1ef8xDN+772tHjQ0L/BJX7zqn1qizISFm1n7r3KZJJxT8LFIP8ny0aWEmyW/2KBsmjLQyLOQLnzl2CCQ5vvT1q0jMOsmshHhdNZk9AzM/X58MwhIroeH2U2C072evvZphnBR9WJ+N1fSzLxp02ZtAkEKxoz+WOebwnltXIiN9aC7jJA9Eu+Z1o9FZhaYvigm1adchQsnte6xuPlD87O8RWFMN19f3HWm4xXZfOrN26hbJxBP03KXTh9LTYSeyVSPHVuRlMUNqk3ZgsohY4CtNlchF8HXD6wXbxJJmyBx9klH3sJrHDkE2IEYLbSBEjp1fs9y5gcYdE+KmhjobGPpEtPuPcBWh89pmTwgGBqe7+l8TFWNRaWiubp0egpl0faNpssJeZVv2dEl+vb2lWtwIl5O7Ebkp5UpvSQ7PAr0/KYIYkookSo9zoST2ry2XuPXNQ85sZ16iG0aT/N9pxA/ReoQwIHDG0Hio3cRzG4XRevZmiRNTHho0jkM6VYuJhQaloqUG/uyUzObVEk1woViXVfHU5PkMsmSpRhXuAvXj+zuFAuFrD0ib9iu6VKyEyrIsahwFQ0yfGm0nrkqxT1ok64Vf28GOBKiuYxrOnlM5DGDh2mjK1O01KIqSrpHfTdfgDMzsVAUrMmsmcS5ag44nHegZTf2RBlSwNdaos5gI9o9w4E7hDY07PgRH77QSaVkH7HsQVRTiRGELWD0vPbEnfeNiMAjQ5kLLIlXTRZ8+yWOvGzU5sDx/jLpreXS1qenzqm9eVOGFM5XUjq8bTApalMULvc1gPRHrTlWIlhPM+OWrnB8QaG9Gk5geYhBrk59QeOFCHeHfbNjDTEmgco9DZeA/6sOK02pC4eEwUW59wQ9fAZspPg6Hy+3Caezc31WKkfsDsNFtJIapxxgtcSWHVvmVYrEiI5NB9Reaxesz1QNl95NxODcLCVusr5H5C8e0rzIaJnbdYV4UWpNXlimbufE7pcreHzOBd8YbAM05ujC6xKGduf3PnhFE70uiJN51X4+S3wZ7HcsrN6/REFWEq2t8QYtQAZ/Pc/botyiRBVs/HFWDKhmmYiWeU+E3aqU1FgL+/GKsHRlbqJf81li7SGXBvXNl5U6CqU+NqeTHMqiTrMUabDbztDI24nsJSi1LBc18LSVieau93WtE5d1EPqiwru+MLSDdXp344nsVrxwtl/J6fWWZjdvK5VKuCtbxLkJzi8sj1dY/cNklc/bn7A8jQ6rGoqcm9vQaY3qn+6aZI2yw4mc0Xp02gSRBTk4MAMnFWYQJsam4yT7lc7Ol635DPOKMvJRAugbXaqTOoPF3K9oqox3r7+SAJe6sqibYWPXVPbU0k+ZXjnPpkBYWd/r/3wjYg8ulD3O7/CAvab+qELNcdsV3bv5vNBAAZzaSsvL/MJ2wnb2prTg063/43Gm9cCKVpyGEdkqOD06B4aKV40tFlORisFC4AV24H7AdExD9LC7nq7a6KYPOgGOzZfDvRdR6DLZ57WpXQ1fWEVLD2JD6jreRfSLW2HTfqY+CMGcGToaknjX+K3ouP3a8lALL/5JJkDHB8N1yuhx6Syac3/KyKD4FNOx1NNegeZF1I9KdkGsIn1ANpep+Yg7nJFajyqPrI0mp+BnD9Ilg/ZThD67vhlPYCIgfi1Qxu1mz5aTGtyS/FJ0ddS+JIgvh1P2GoYVZPAZc270W3FC6uqd0s+K4MT0Agsw9VfHMyDF9PwXzQSOPn80iuCPJ65xKgKyxmdHDzarD+RU1XLWehmdofPeH605V/3bYyhN398EM7UJNn+c/7wnZspjqrsbTBkvcPrBO8R28e5WpFCmWv8CxcCnS3R/tlMc68d8htaDsOFkytHB0zYlJskn1bKLBq7F2KxPIqWCTJLXIj4eJFd/9xnsM+S5acLA1nsraR66jT1ZLVBdtZEZ24wZ6TEXEQA8pes3L9BMPUXIbL4BPqVWdU+UK6sVP47ZJly3/DhnxJ/t/STpYv1Oj6Vj5SQ2n6x9pdPR3io1UxN03Q3TChN0aTQ4uo0sKq4qZaSJvSi5pGqkIVF6GVTv22N9Re5S5Rl8BkpoaU9hUeb5PMNdi/kev5dVzaE5t+oXlTiK+eP4bCi9wwEHcQNlXGnIHAODr1WF4lzx4wfappTbbLa4ilkZd634fslCzd9zh0vmibqPP3TEflsaaN7hpJanWMwN3E8TOmIpSGiY45UcRpXvqEBTBOOcpscsFzfIhPXW1dM1y5IAjZk+b+/Ia/0KvH3bV3CxklVo/KyrD/Fd0Vj9tOVk3Wlok59FEvNNmV3o/nXqwuOJdZT+OGu6jBRPXPmtzxfkynuS/ol9oe7vCMNsZT4opadbkz+532AAam9eaIZj40K+2fSHirIPohzd2ilJ+GnX+KjhiEvGe1MCXhMpOS+82wCoOh0OV9DrN2xFR4BxPFf4Lwfadk9GWwudZogKa2qlSubZwfEL2btYNw45Zh1s8Lu82cSXK2li2hKRfVCa8nIvKIF9XT7q+BRWRDGsbL/TyUWYu98wt2CM1zlvuo4NXtGmMKmtu5s12i0KOMqr8YjyfNtR1Zam26ZVc9U2nkrMimtXFBlQPty65sT18SwS8JBT6i1k7hyb2cGfuWlL0B9Rv07zPdhLd0gEU9Mi+O0YSwNpX29irB8rvRzER0IrXQodOy+zTqTzrY0a00yxp5J+PkS6sAfxuvxDRJDj6AjPY2qtsbI5FTLrawlUj1N0T46jk8OHsjpgDPu1dO7m8xzy0nAfCnbvZ3PRATvKwqPJzu/HVY6OekwxWd9sC9GevK/4+tQgbUr7ZeXj7I0pIVoGmLSTnODulgaYJGmvOq1tsWMw3Sf89itWZUACflAd7ZWNwA6K0WlAV/fNtMdPD+hb5jIRprf4tz/3CJ6zNooIv35ntEzfcUnSaK4leJH2yOdJfxGtVTI6d9ck8LtU+Oa+zaEU2ozvcHZeS7zhHlrN66Cfz/B3UHfd3LDi/Yl1MiqU4vun1B3KcrhIcqZvEBAFwGKYlqGH6WmFdBxO5ZewkyaG4/xVP+oPpj3myQ7DRsUcV4yLEw3yhIGiqQ0dW5pNy4q2R/lhrVgW2DlfNPl8vgSS0ZDDciJiprIU5n0sdVuHW2ywQtcPcrZkjhXd7fsN0nUXXKW37B9OOkMLLD6cVvHquNm0Gh76krGv2heeSO+Sb6jhVq8nu3UojFfiP+KhoKGITce9OeXrBU6cQZkE9WOWyOMc85oxOt0mEy6UmYMOZM9X9yg1RcQobr64ya9oVYPM9XkXjRjdKQcSYZXLF4mu4maPSTkqd59v0oq4fHxDCh4/03P4xn4e1VeCw0lTpTS583pCYFlB/9twJ0f4YgmK0VwWrWuSUMjMB6zcCco2O8MkAUiJnopFaYRsR/k1GdP8PJnSfndFmdFZoQcd+UEN48653vx1KR9mt9vmpOuImvQuOOMxbkB4W679WRHLJGoaZrzIYXzJOXvSakXF270bwBeDib0sDszXWNi42xjOiMW6ZQOH26A3elHK1TmavYJdw3YIxK8l3/72AwYP8KMMwlROWPbyzITU9pFwB495LzjTNrfTlNDUQmYiVVRb1aYC7wnGWn04TRuLx3ew5seG72HOXz1+2n7nw7NlCF04cXyGx1p8CGCAprIM0IXTbTA2wqPxF8KyvKo0vfsMP84HXY9pkbZivRTRq+uO4kOBh9c4hp6nAXeC0XxPXpQNjAvVk1yCzT45qz/pX0O8Ycz9bhAABumEmZYbRu9/7eYNfpH+UIVaVZGDG1TFs1cI5zJkWCcSZ9Ro9+YPah/9sTaltKkto1mehmbdQVdUNSRqjZ3trKAF89earYG1D5UHzZlL2wmObPkVZucMHrVo5USHzGYzexiuukt2N9EvpkdVj2cWL1CpkdQvSQoSzPfPcnLJjGv3qZ95cU+f0VFbJ2V2jgkHLVJ8dkonBJkM0KaKY0BuNUK2RQNoxa3GlnLH5uFi6dqBIFnNIiK1t727anIG1iKHYnq7tFr644M/MmeepX6PEQt8g3OSnRvi1QH1o5k/QFnkWaQyi8DhSlieOnker2rztSVlbLeZMIHUUJUnq+GCdz4vWnRxWBCSa0cUUDEXkxpzxD3pHs5W3iz5Pf0c0ev9yHFXvT18XDbQL3jENw4tfM6t2rzMYHyFnTdrA70KHHn4ZWufgCPh6OUDvWcA28Sy83IVxLdpPNI0aGALTojLVYXUFcYtr/HAK7dyf9GASBiGM0X0vQ34Dr/vm9nqPPomad+HxyOL2gEmHf6pjrUKhD2T6qpGuAKK2FKENFbNTWeK51LbKLzUYkqTKR5MRPVonzpDaXU6arePFxoY5L9XXNdaaXFKtfF+wfWxq65tehASrDB7NPhGSZ1JXZIrahvLlY+dh+dS+72vW8yTwl7JwHUJ+z5eOXcBz4ZHAk0JROp386snI9KbieZLUpvF9xzB51G8P7bub5cXVjb1Aoq50WTevxcaxy+2Ar431RqlH4McCulPfVWMNX0SKsmsAUbv1shG5Vb1X5XxmO7AleJrshkyPC2XtMGYE8GQjRBYOOegQakc/mny/KDcyTn1Wh81Zi40D/DYFuSFOvfMOX/YOitQ638ApsCXiwplbmRzdHJlYW0KZW5kb2JqCgozMSAwIG9iago8PC9UeXBlL0ZvbnREZXNjcmlwdG9yL0ZvbnROYW1lL09DR0pLQytDTVI1L0ZsYWdzIDQvRm9udEJCb3hbLTEwIC0yNTAgMTMwNCA3NTBdL0FzY2VudCA2OTQvQ2FwSGVpZ2h0IDY4MC9EZXNjZW50IC0xOTQvSXRhbGljQW5nbGUgMC9TdGVtViA4OS9YSGVpZ2h0IDQzMS9DaGFyU2V0KC9maXZlL29uZS90aHJlZS90d28pL0ZvbnRGaWxlIDMwIDAgUj4+CmVuZG9iagoKMzIgMCBvYmoKPDwvTGVuZ3RoMSAxMzkwL0xlbmd0aDIgNjE5OC9MZW5ndGgzIDAvTGVuZ3RoIDcxNDgvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjajXYFVBNs+zclMbqkZRJKbyMFpbs7pcYYMGIb28jRKCUISKkgKa2IIkhIg4BISUhISyipApLyn/q8z/N/3u875/vOztnuq6/rvn6/+0zwsom5uKorygWuhULixCESYAWguqGZHBAMlpIAgyUBgoIWCJw3/I8WIGgFx2ARKKTC/7KrY+BQHEGnAcUR3AxRSKCenzcQIgWEyCpA5BTAYKAkGCz/H0cURgGoAfVHuAINJYB6KCQcCxBUR6GDMAh3Dxyhyn+OQCGYMBAiLy8n9jscqOoDxyBgUCTQEIrzgPsQKsKg3kBzFAwBxwX9K4XQDQ8cDq0AAgUEBEhAfbASKIy7krAYMACB8wCawbFwjD/cFfhrXKAR1Af+ezAJgCDQwgOB/aM2R7nhAqAYOJCg8EbA4EgsIcAP6QrHAAm1gea6BkBjNBz5x9ngj4MY8K+rAUIkIH+n+yv6VyIE8ncwFAZD+aChyCAE0h3ohvCGA421DCRwgTgxIBTp+ssR6o1FEeKh/lCEN9SF4PC7cShQS9UUCCXM99d0WBgGgcZhJbAI718Tgn6lIVyyJtJVHeXjA0fisIBf/WkgMHAY4daDQL/X6oVEBSDxf85uCKSr268RXP3QIEskwtcPrqvxlwdBBfhH5w7HAWXAYLCcPBgI9wXCA2EeoF/JLYLQ8N9GyC81of9QPBqFBroRRoCHItzghB8AHgv1hwNxGD94KP5/G/4tASAQoCsChgO6wN0RSMA/2QlquNsfmbB5DCIQeBNMAB4ECP71+fvkQMCWKwrpHfSP++/lgiwMjXT0tEV/D/y3SU0NFQjEi0vKAcUlZcBACERSEihHOIT+O4sJFPFXF+B/YnWRbiig/J9mCbf0n4b9/9q+0F/EEAb+O5cRioBYOFDoH4Dbg2XAMMIX5P8b5r9D/m/o/pXl/wHw/+5Hy8/b+7dV6Jf5/7BCfRDeQX/ZCXj1wxGwb4giMAD5367W8D90NYS7Ivx8/tuqi4MSOKCKdPf++xIRWC1EINzVBIGDefyByh+95S+CeSOQcBMUFvHrQQGKQ8Dg/7IRWAXzIjwaWAIef5vgBNL8u6QmEoZy/cUuSRlZIBSDgQYBCCsmSDJAPIRAQ1d44G8EA0ESSBSOEAIkjBcKdENhAL/2KS0PBBGepV/KP7IUEIT29sP+rSAUBuECUL/lf1WG+WEwBN79Rgahrf/Iv0kOhwfCYYCpCRTs+i3PF7deH1arcgWIrwwqjgquWN8XFsdPYZr9jukoMoSf5UTNYw5UM/o6GD4uawrtq0zznuE3Gl5SxDammTadhJw6pZqNrDQBJocvvhl6vKFa081DxS1uobIacuYbYhXpRdpA3KonmO/rd43OpJD5MKBLO7Cmu2LmXczEiunqM1l96tOK9+JJlon2kaVjggUuj8bZ+chx4jyUIky7gfRj+wejTHlD57x6qaKA0M0kqWK83YLk3aPx4NknFpLYNg4BDjt2HtJ9pncjV/Bq65l6bB/wZcVzRWP2fiXxUh/biBy0wyaWqORuBCFSrz1X7iW9vOq++GOzlbq+HymmHVc1nfl49UysMrwKTSKzunYK3s/rDWfYxk/wVDDVveBrPX0sp3748gHrkmx8hB7/ZU5Fxf2r6by7mDvT/rxK07zaexyZVZdjQLS8prRadIYvw7rdQD6XuEQKEHeEcvkuI8rb8wD6ETLMSjTdRadUrmlieo6Vtbe5OMjEdoccohwLAcFrbGyc70W4qL7VisZ5eZSPkngaB6w3f/TdJKHa9boilrbqpBzx4N3PvjjYJb40pPJByeC4dVyacG5a5vgdXuY2zkEe0hKqJK/OzNWEDOetJLunr9I7QXvJ5ky01JkiA8oZteThsBCKT+kr1t3uqJbU7dSzcc63VS9c2hHXPODYw5ZqU3rE8a2+RmlhrYLUI2b/+rcHDyNMaKy2V8ouTqa0oRFeqfXOnjvju5+c27Jr2zUrLYVRlNtfaq13qT3VjNzutM+01Ueb9FkkTpI3lryHOgnsfGZ4Stvnp+HKEjMpddeU8iBLjcPO3C3IT5pmPbcssGOhpHFxfsTo6MbPvETIJNf7pQKbRa8MObZR3ewGJUGu0/XQ0XDA5NWZFYsH58LlYawCuoKD574L90x0+WvEDZnShtatAr0G6ToCuzdV5l6PzeQw283ryXpE7Dxdmlb0UJ2unh98R67A0MqfgnKZ8G+cYwHDW+zPePfoC7aIOwq6ecBpfesX9mEmz9SC8d2chW5EivOHda6QhC+z2g+v4jshH9pUXAc1woJsMC0ZGlXGdillmn0SQykfFTfShAQdy5pBklZt9WzC9S2cj7687+75JDS/u+Wz08jh1shBcYGJ2+yuJJjdeS7+lYWBzx6I+OCTKfNdg3tvuaNog/UnDXl8nvMOFD8vztk9naQSdfxcP+GvWvMagNLs/6kdyFvhz725ZfNKN1CVpO+79cu8xxS9x+NKgdPqHRWtGzIjZNHpezuXAwpGHT+n0RyxTHYVT/qnC5HujUiLiRdFwTu+vh5tKqJUBpnFL29mKd/VqPGF+7ZndjA+SqrkpqwRL8gvowzU3NoGCux/vJ90MaVQRAr1erHqfpTtmCgYL2okcXxWG9GtNBQXd1UxP/JVj67eCXcnwM3hXaw6HxaNjKrOl4yCUOGljhU1T6c9qzZIpPfH7IzeSgKInu3rh4kERDYq/yTeu/h4fZs/82V+DJl8Bef1PcBLMtULwg9Nguio5eJCPzrW+vhxaW3nTPZIHicUpD+pDgzzke0gv2HlqO9NyjsYbJUc9KPqMZ9m8TV6bYbDgtXuT12vulrU4jyb6dZeJ3Sa33dOsXek5zx/eCJa7JArAO22uWqi7pk+rU2hChcFyNsKcLicVNR9GBzOuL9DR5/3YYNbZ9X9g9spfaeoYgVj0M55JG6l/12OQ5rU55/UDyxDh1EnBSqJVN9v0mnPOgQW9crIv3hYF4pAl0L3KE7yD8P43rYCp5ldu6kYnRxyR+AZ+EKLDKe4GbdBbk6nwd3UEtkrbTbinDuY5fjngxmHSp8q6Xmlr1Bqdytjiu1DZLPL6B70GgjDAzpK2FM/dt5XE8WMqaXA1mZy86Vut/sDsrMWLr98ogDG+3EYAC51Fg6rXqKY8QzF+0pZO6oRlV99NCt0xsxuW0zU64EET1h3ma0nmy8qE/kxHRFNd9GckWxm2XXzVtdlxCUjUpEvl8ffKk4110/n99wX3kjD12KfKa772EdFRmW0+jF6O2p7GPXyTpKrnGwsCHFnpWBpA8majmVZ06a4n5O5HBvGRl5lEvlCWXeVtKKkW3ZF+dPKBrJVNb8Bn5Nb/YBXrOkBJA6frXkQtykxYRboYyTN0eg1vyrEQhTAnN3gLQU2PGKoIG3Nm1ldtNckSuCowQDO10lezlM+2EefbQ3gtoJmqTjnUVv0SkcAYnzpT6hT1rNX5gdt7RWAmxoPKiUyt3Ejuoz32TVHm7eJ+6njHSKT3LqP16y+VI2nVc55yllBnaB9bd/3+cTx/FujW2yrpVzikcesgAOFNW4X46yZm1+FGbd1nr6mGFO1IZnW3GhK7zov/WHpnnfDq9a3lMiAo7NGrXJ14q2I55PRRkYPugndxKs0AhdaVKYVfCQkYkC+WYIVaG+gWgSIi9be7fOKnx7sUlYznX7eyu5Dj/Qk/0AHH5J0GZqtNRE+zPZh5qvWxOv213Zk/MK2V24q8Ipqq0co7L3QEuUzYgAMj3KGb8Ta3ffhyFLFqZgPhWweDOX5zIgqVldYdTHrkFvnmwwvSH0LOSHJR/s8APM1FbdYusqt1X1o4ei9aWWTu5MhUYJrfqb1tiUUM14X1GAbll/0kt1turZ5eFyQtTf6MJh3/7a24YJp2JjiXZP+HY0hb6JPewaMFuge2zdoveUDGo44J9ic6SOF7Xkiz7TPy2XzCuPHwMHK3Px4hvV+exkFeRvLEaBnAolZ9rw7v8MOibVvbc6OXX1Z6nJTxMP2fuToaL466aP1nSC+3HjKjRee/KI9Sz299g8m8GkD6eFBGWsVGQ7DzfTGhyWcMwGa8HtoSquT7ychwGchp7oOdq5P1nLAtbWollVXKz0BlaqQnTuXmmPYEqlFvpRxtmQHBexePGNgpNHPox+6/K1wnA5ctb4hdUjq60+WJaFV5cRjo5pZoBV6cEfGWi3IkYQhNNFaaWxUMtg4w3eVrLQ03Lc6uiiRiy8XePsnRrcvrO8jr0CpEnaVYm5rv4j8ArjaVqXsqLG3TOa4fJ3hFV63+e4kiRLzu6ALa1EvUMPqL2c3o3lVJRXb1I6Ut4tet/OZxTFWA9rdnfrEwupOfvhKaIYAkah3Q1kWstcRyjYJLu+ko2f3QnE/4LltP0nZScamz18ZDEHCNq6kGbjaDYTuScZYf89mlNiQLr0bLbHd5Cg4IFI8zFNzsV9jKmTHTrlm65bcrbvWkF3ipzQitBo3TJYh/Z4OR/EL1MF6LcyHGfmz5F/uKfF8ZdHgzFM2cTrfwQ2jCga+6ydkpBgkXIVVJOy/4iHan6P6yD0fm3/Hh53FnFyJpV38UeIkf0jqXZrr4YNLN80gpCvThXcynPcAtSoqqLpB5KEH9+5ribFuq4lZLdH+ACnm2bysT8JmNvT8PPUlR4Xyxdhg6a828Xwv+F2W6ANIDfC5MKIYrQijp0REi56UV7PfJOabJoyl4hoOuI8kuT5YTCPDtiW2KqOBt1r7uTJCKpy6LzHvss+n1P/0GhJ6qnXuA0AuXxPJPeW2JZI64pNwJwr7LGWuNvnk8kDWtwHs3LXXVKKDy7MxtJkZiPv1U5815Br6LmqcNh1VfedfebY/04bSPDE0AY+C0eXIind3NO0ju6aqTkQneeQy3zpRN5n+oAyONuuKpx1iR2ig1O7lKIbk5yMFSCVdWK06s1usefd2alnMdv12HzpuNji8lJPkj3naGrv7BBAox7LyylzzYpNMdVGGce7k8I7lWwVl1FNfmhoGa3v6n29Zv67w5vkmkJSwsZnME73F3dhn9SBeru3oGVg0E/N/JneHXtOFKKp7tdFOhkWRc1+pM/soi+LBbvdEDsthET9rk4c5k5lqzaaSZNcceTSl8biyNz2f75wQ/YjGF+OY2H0/r31SaadQ3pmeXP5yGqJiZ6PWuGOwUSVFFEOTk/rKkym1G0uKle4b+sZ0ENAxtPny1uXYsTQhZ73+px845CVie8yK+suCIBSeFCVfvZFZBjU/nI/djoYuRlREsT+dCBuo8GtK0HvuGaAxxA6R3+3Vd7SWMzgnFqp93+qls34N0x3OtqkOSrzYQ+5Eebvy88jyZWaa5lsxEPdOd2fgq/cuXy/U+WVS1Z0sWbmiLBqcKjUFYkpjgCNMBnbqG5EuX+gWGAaTU9iFS/n9fsKL1mcXKNZFbhQy+JB3h3KRn18Kjb9zI9zu5SsI3ZO9wwwHubqsZeT67bOM1VY6RQbZ+IMNWNglfuenZChD53rdhU/3tNUTOGDdC7pJZh1CbozEL2kg9MpLGZ+VRCls9Sm41O1YbgtWpGNZhNHvh37MBe4enOsYs2mYffC4ZXBCEp8YO8O4VF6uDNAS+3KgMvMq5WFPp7f4kmAgHXOt9YLf2hsDkjaLrPzMODlo/oAMYGWEo/dnvIviEupw5O7F+jJYUk489CdgFWNi61v3ioe5w42LNW9SyhJekmsq63mPwo9hO/5yLW1qCS58xdZAjF/zy0//6P6Js/pryhH0KsM3PjOe+yiX73TeerjUUX822mq7ncXWJjfuaAmO7flq6NwyZSM21XeAIgkueUhFM2PkEFP28+MJOZ26+W4h2mWif7S199y+dwgfd9TNLikGmS+yuKJntqPud4XqDKSRxF8NbxlMC+k/Cb2kd3Lr89KoOOoRe3aw8aCtRaa6wypirAd0/ObLCVCfw7G2JNaUHNqrfglRgE8kv068+LicieKWc2ns1nWASo21+mz/D694SVudBYb0FG2BDb2prv2xtCzjWiV90UhablGtme8S1IL6H7cKzz9YT9PTTX+es7a7QJPhB+M2ZSg8GTe7y1KSsmbxGJJb+xg4q7SDWY8+yM7cSki8rjV8SXui9OvVsxYehRfd5UWurJsXbWKHkCG6r/cdBsqKAn1Ba+wQytjTRiyixEjABZ0Z8R796oalyz6Yvy+1XEdrY/eo5mrPR2JbtuRnvcNipf0FRV0X30Z1WJRcvdbUh8547A/EZpSCiCLluxTJVc/I5CnHrk6ou9iBKORLfsYjrwh4dVdCmOewI0lraTGLgcKTlxjRLHXQ8cv2W228wx4txA17A1nmGBbSWVYULRWVn92MYQuZv/oLp8KfIIsY1PBFcWsp/K3zzMXyOsXu9omAA4nhRGx3h9mieCZPXBCkbbh6btbtRr+wtH+paxlvylxruxZ54lTW5u7Nrd0W5ynAgtS4f9th4vVofOYmF3sY34MNxNiPKdjcxgC7jpf74v2vM4qg/kUNWpQLnkjgCtZRxOnu0XoN6I7HjP3sxR0BNp8rdh5GkRTXKWrq+F+qasuqKdfxdveAmM7hjpdZrpSQnu6JxjuVbw5l0U2pNhO365S0b1uE038DMnRp1Th/i2rMqEIDp9HMdJeS5F/hxKDlsJnSIIrJe5njTwqnPQOWAaeXJBhPpgZkVqnf4RYLfQamN7371/wsy2A4loROcVB3v5oMlppbSixz8Lk2bHJ1jAv1uhN3kSPmTEZ1hIg7OZhdtFp0EarJStObBuklXTjYUVZX3XWpZaUKtLkKgb+TXSqOGJU3NVgruOANNdFy1rjrEEcRmsu6ZPcj9YXwk+Rr6KiSm7F0AZ/rB0SEKvmabl6p9CtU6BMhfYR56LctPkCVoHi/rJYPo66GxLqPcx3c2s0ZcB89HEK+KK/QDJ6+4fJisBJK/T0oeCp2iUuU6QXhP8558NCjsRmQlnRayvp2jGKD7BPU87InbN+OHo/TVfG4jQ04paXYbrSDbXTKBaWrRQ1ndEhxAVvswOHE9jvjlEKhR94R37umX0PD1IrOHANhqVJIvGgZ/r7L0PcMcGfZwypoTLIuM+STZ8my/UUGJlKPBirLEU+qYh3i/q7y5HRdgyjTidOkAg/h9XCjwcGymYvLFfpK1OBaXInTMq2Is3EppYLMa+p4w83ch8uhqSGHK3ZGTZY9P+5uXOafpzV930yvXp2Zq9sKaAhbRXH9oAaG5JIlLAnoQ5iRPSGB8jmNcVvj8o8XKb7hoSYptS4X2PTZQG6MPiPk7GLgZOVTN3l0mc+1FHHZYAbLwV52d5IvDPcl1rRdC9fp7kTwcqrqrbEKSlPdmBkOK/MenWB2kuzfSreu9axocjU07mzl/USUsGI+4wMv5+rg62yepx5SLPQhrpBPS4B9d+tzCbkdqzxPs5JRB7DlMSVXaYsmccjef8lhIulRDPpgvRElbPPVf6Y1zRbQd0r6bUq0Le06Uj9nXr7eILKdObFKhKXSuVE8CUITIfqctP1bVvYOe5Vn9/C7GZ1v361x9ok/tt8Mf9Nu04t28+bYXGnZUH3wzW3PTQkqo6HOIFAu27Dk7Z7ScpZRJyK9AyoQYb7PvSxguMBVWfLTZ8lVgKImrUyACZxIBl+d8JaDQj+eVsXRCnFtB0jF2X9+YG+Tu6za25odLp3t/M7h2VZmSJp/zHL0tCSkVTiZOvfsdp5rsyyZhJxWo5f6KmiBCDKpJ+OavcoOz9HufB5/zBntG1WV2RDBu0jkH2XBNd82n2vUM7QeomLfLEj6hiIGru60qdTJLGCzfw2m9q3+qhuepjgPmWd66YWd0RsMlVlNMjKvJNSsOQUyR6EWTLv6+QGb03BO4oeHax1r4vSjlJpF+16eq0MbH32QXnz3uD7IlHoegCQTw54su9xJ3tesui3/PY6/XSvTx3amfC0sxEgD/TTLgttC1k7w68mwDhWM4bQb51nxLVgqL2fanhUoks5QAwI3chfLm/HczH5TKNU5DlqAfZaemqjYSiXSnzt95lgTTr0o5bIjqMapIlBh6Fq3KXBNaAObdsfkrTWsxPZ8V0EyY8ToyjdfRrKBj9L391MECgBlVrb+NR1vdOrIG9jMgVEc2hhqUeXkynLZvk9KS1j87pVXVeUqtDbBjDSfTl7wfwpk0tER1RBM9LcLszZOUrailOqWIjWi1ro9GpkjP0xMkQ+4yUfD11SL8XkCz4nL2rjfj58c+yllwMspl7zmnvOopybr9YYZmbOp/rXnvPaHu9vTGRFuYI/9/OfAiBtV59dYCm7TBkVPvgHIx/XbvzaZP9rUiGlwfNoDMZiDvLtlf1uAiKFavUXLZee7t6EpcXCSBG9j/1LBru7MM6Lqa/Vu/jSV4lODCySC07nFxpGjahZW98jYdMpnbNlE29B6oeaA+b4XPugWPQ6pmLI+29tn0EIszWxeB1mtiLmprUGjmonTzSgdazI1pi5Td7dVoPNuC3cYF2PZ3c2bge9mSJNBZCRB6GVAqn8+grpeKTuYI/At02TPit9wP9qxq0XlAb9fwPAN6WUXBrELPiKhFeinHbeNUvFNbnv5mhFxKm5G+QvudAUSPM6ufN210UzsZU8w1EsrjJOcWEyjtAxHorl4pyVLHwObU+BDkoVz53da/HTzK60p+EGi5BuWc2WWxVh4uAjvMOq5fufITImQl3N1xPHzVz5hpNUKh8vR4O4L3vP4u+mLA1Ky4rHM3pVjymyRu1PRDkkkNOPE3S+/X0mIg3xvGNCVMDd8YG+cCn++w+ZDjUqv4fy0tc7/7f2MWX56+HE5WuLmp23L5/yeYfz0yiBbIQVSh4nxeRmB44/x/P3b7VAB2UMYe1sRVvz+yOaxDPNQs/FEt0m6iXeaQ8Z1JVFed+rNQmXOItMMEV7m8ppbmL6la5+tqtPUNm5hULMLad7PRHiIJNXU6eoEbfoLGL+kRHHseq8cifSfm9BGBheEYTtXmXlzf8irQ1LxNGlkGZ7cMAn22wzxMJLHeneOWfSTT51TOfCquLNx9Luv7Crl61rXt+d6Yp01wLaDEplJG8Tt4mJ0M/aJleFwpZNqGzkPjoSj9dupHRoKmjS3oC0T0gV89/2KVpXhHz8coSKfV89NqF5huWR2kE/9NJNnR1OG/5Z8PWbprZd350jWixtsA62aqs+vDUuHv/d6Uu9PRBrJU61410sV+1jXHrFH4j6qhc4UTv1ueedTSJLZsp7kSTWNa9f1IpuI2TKOVKGbC4CnM0FdR8QKKW6nicbp8TFoEz9uamex4aa8xMErDvoLWkALF5Jdu7aC5u5zflrSEqwIziznUI966TDhzfIb6zAlA3kF88H5aqxGOett0ZZTXHLd55sDM8yjHadCz76q6eq0kDXkPto2927RNgvn9JM0ff3+WtKVEoMbHY27/SmW8Y3dViGhy1MXL0mZfzBk4fWV5zozufr1JVCs7PWChxT34otoOWG2Zlaex83edwecnOgVzKidhdjNHb/edOV7ySA/GfyWVcw5Wil4ROzr/qRr4xtR6BNz6mEL+keF2waDhVeALEYfrZaInRS4/geF8rQNCmVuZHN0cmVhbQplbmRvYmoKCjMzIDAgb2JqCjw8L1R5cGUvRm9udERlc2NyaXB0b3IvRm9udE5hbWUvVE1OSEpHK0NNUjcvRmxhZ3MgNC9Gb250QkJveFstMjcgLTI1MCAxMTIyIDc1MF0vQXNjZW50IDY5NC9DYXBIZWlnaHQgNjgzL0Rlc2NlbnQgLTE5NC9JdGFsaWNBbmdsZSAwL1N0ZW1WIDc5L1hIZWlnaHQgNDMxL0NoYXJTZXQoL29uZS9wbHVzL3R3bykvRm9udEZpbGUgMzIgMCBSPj4KZW5kb2JqCgozNCAwIG9iago8PC9MZW5ndGgxIDEzNzEvTGVuZ3RoMiA1OTA0L0xlbmd0aDMgMC9MZW5ndGggNjg0OC9GaWx0ZXIvRmxhdGVEZWNvZGU+PgpzdHJlYW0KeNqNdAVUlO/2Lt0ojaSDAhLCMLRISHcjHQ7DAEPMwDB0N1IS0iVSBg0S0t0gIUh3N4IICvzHOOf8f+fete5ds9Y33/vsZ+937/d9no+NRUuXR9oKYQlVQMBRPCBePjGArLqukQiAj0+Al4+Pn4iNTQ+GcoD+hYnY9KFIFxgCLva/CLJIKBiFxuTAKDRPHQEHqLg6AEACAJCwGEhEjI8PwM/H9+hfRARSDCAHdoNZAdR5ASoIONSFiE0W4eSJhNnYotDb/OsVwAHhBIAePRJ5+DsdIO0IRcIgYDhAHYyyhTqid4SAHQC6CAgMivL8RwkOcVsUykkMCHR3d+cFO7rwIpA2kpwPAe4wlC1AB+oCRbpBrQC/BgZogB2hfybjJWID6NnCXP7gughrlDsYCQWgAQcYBAp3QWe4wq2gSAB6c4CushpA0wkK/0NW+0N4CPh7NgAQL+jf5f5m/yoEg/9OBkMgCEcnMNwTBrcBWMMcoABNBTVelAfqIQAMt/pFBDu4IND5YDcwzAFsiSb87hwMUJDWBoDRA/4dzwWChDmhXHhdYA6/RgT+KoM+ZXm4lSzC0REKR7kQ/epPDoaEQtDH7gn8c7P2cIQ73PvvwhoGt7L+NYSVqxPwKRzm7ApVlvtLQUNE/8FsoCiAEN8jYWFBUQDUGQD1gNgCf5XX83SC/g6CfsHoCXy9nRBOAGv0EFBfmDUU/Ufk7QJ2gwJQSFeor/f/DvxzRQQCAaxgEBTAEmoDgxP9pzoahlr/WaMvHwnzAJjwobUHAvD9+v37zQwtLysE3MHzP/Tf9wvUMpRRVFLj/jPxv2MyMggPgDcPSAjA80gIBADxox8iovwA33+W0QLD/rbB959cZbg1AvDoT7foY/pXx25/BcDx1xycgH/W0kCgVQsFcPxH5KZ8QnwQ9AP0/y313yn/N4X/qvL/Evl/N6Tg6uDwO8zxO/5/hMGOMAfPvwS0aF1RaAOoI9A2gP831QD6x7TqUCuYq+N/R5VRYLQRpOE2aDHzgAR5+QT/4DAXBZgH1EoLhoLY/pHMH/zpL6s5wOBQLYQL7Ne3BZ3Fx/dfMbS/IPbo74cLWpe/Q1C0ff65rzwcgrD65TN+IWEAGIkEexLxoeXELyQE8AahDWkF9fitZACQF45AoVMA6Bl9AdYIJNGva+UDAB1hcFeXXyjRPypDXJFItMN+CwC97b/Wv+0MhXpAIUTTkwjI4xC7ypDG7+XSDO4860N4i8vNz+OMuiKEUOxTr7xt1fDTFcecZZ5ZldwZSNH68jZsdNKHgevg+7CHaVtm4EKyUg4KQ75rVeaIJ7fv4mubDZTZCkFvMyKS8nyV/DBem+n2MxMckweJBpM/Q0XaBTZLN/Kvml02jR/tAhwBhd/IWJIZUDHS2c27WFFGLKzLqH4jU7JYCqRJqque8tORK6woWOy5TGM03YXnqklsWv/8fG9md1eKwMlr1Y4y4ZIwSjoqLxWW7IGEHjrq+EyVWhcMdhmhb7Jvk+Lu0RU4hrEvYDtWToAYGVljO+n4HAFFjHYD0rAIzASk5m2VkeqGxtFBfvZecZafXp54r9gkhm41IvWSNMFY4F4RWAkHZNuzqD++eaP5+Lli9friVJLbcMAu2Ig1K1K35+jOwH47h2zOgmGU85HSLQ3Ny8ilzba0OKcGCdiw2V3tUiG5UeMZ3Vm1ShIfbeF5aHT+Z9uvG6aydC8oKO7I3nM4NtyYSlc83t3EDJyU8QCQv8Rn3DXIwC17gCG/abKsbnGppH4SMdAh/JYbQrlsOeOUvWhsWSP/ibzFPwv3cMAcMSe4Vr093P+KJFqxXHeJb8702hw49/XTiQID/Wu1TD8EED/sMT8D5KNkhAjvxr6MZbNONFaF98L6uwB5zEpiXapO3upHtDj+FP3zwBh897oThgjFUXH6+zXb2UCT8TTBLw1Fdl5NXs5Lo8wPaZTxkgpqBoJm8mi8dso8lq8JMS1TeX5oKL2goE2k6T+kABdJkctyFUSRzftj/Jx8A8Oqnkx6eP1gp9w19STjRqqIYzfPk4Iyvq5qcfwCyOq0F5rl0jWHHIm4qyt7gWCvox7vHiqXMR5g7o7Fi1xSaVxl0C84u82p1Ff1/cwZnMSQKtWK3f54ivBubFyhXR1W5esSFtHnaeTttQ84vJCSfCg/+vAnWDIiY1fZ1SWNkuX9KNz3R6UDhm4Skw1ZgyiuVAhBbScz+XHPyjJedfP1a9uHiyWhaSOe8d1sty1fX9S7L3//ZAkJ4PcnkkYdC+Wtrzk73tcUU7HDm0/ICu+EnBl/GvavmTllFVRq1HLLI+A50jfhoNsCi/QsCFlDk9UmYmYrGvgtPGw2IWHmb9Q++yxYEIrIQPaaAkG5i50PHC9i70wEdX0mLGUyIMqtQgACLFW1Wt7OWvczS2vOxT+T9mDA4fcaH3AgaZsTfjUX4uGrMVfRk707M5gMcTPZNA87DuU9uYd1cQ3BcYPUsS7cT7vJmDx8nA4mZxW4bDor8omhEEzxWDpbbCK5GcB4R1QUQv6WozAm9SX4CWRfZ3AWLuxk+yXdmM7ay+tEKlK1n4GYaprukjXC6KJGBQGMdD7pHyRreXkYhhO9MURwcsD7FWR93HL+MYQ0K0GFSoZ83P2BYN2HQKkrMl+5E2Aauz9JSK+xhH5KclLhytC7VZFaeX9xqLePyUcQtOMS0LsSoDmqvbJQ+MH0XUQYXmJeapWSkGDnjOAWNyUgxrt8cjrFCaYGKPDjZUo7zf3uUJyuQ6wKKSw/StMU5Mgh7dl++tERN67+M9ctEQJnVWDnu5jHxEc42eQc8TxUYaICYpjC4uLAkM60dqO72RdXTWKVtDhVu3LwMwWU2H3c/rCuR/VZ7K059DKjYn3uJER6efWRBrH79N24by/w5YVE1JbsVtItx16Z+6zCpKxHt9lespSAxte+Lxo9OJLLp7kbTyc1sXKrRuiDXD+i+1MY/o8bFw4HAe1I/zV8j1pDaxH4zJJi0MjdISeqIWQICDSrT1YpOh3pmLXYyrtg4it+vipyRTrTECOHx6W2IOKnn++Sk9MgCah4Vd4XE13mG7DQn0n77Yvc7ed9+znfNnFR5ww3a4E973ZnCUK3O1sG91gmDR8Jyz8Q32ZO2ml3JGDnPIhVaSYb0nWnEWQRGK7e2y9eHvrI+H4pu2oYZ3CkKjQsRb9+RyV53flhcOzTEuOOkHmTDJXPTdqqdITR2VxqKaJlK6FV43l0T/hiypN7qX9cz8za4Pv0litUPNNbXrc/TKJ8kcyfmjWW0TAV0x1+VHI/8u4gc1bftodl17Ngo8AnhO/7suEI7+yJcZruNfC52w9DWFxFqD1rVi9FOQwfVwL/gezL5R84WvL7Lrez2Akk72+kqw8aCpfID7KQxyudChFss8tAuL/zMrqADjk+JtBXROg8ItEyfqO7qBw9Kh1BjNOgRH3IGe7t+XB0rTL9ztyt7ZpHqaUNCYwZ42/ejm29CkrdOsIYjw3Qm6ehLHHJwXlki3BmzErUB99f+QGmgpFN9bDGXSfRYrMRQZ1b73MxTbLwX88LvsfQTVu/V0zpoat+Uqg4YMWQdxrUxh0x1XjrZZ0VPW8MHzJDXf+OzIytttenZqzHImcb+xiGw3R72B8sFZ/3BEAFEZceZ0eurGYLONEPSqCTT0OESNze58BInsJD+dMjTDuoy1skhI8Mgwdpl+MU9tn8Z6zubmVUFSuwjDxZPKTH9/V9E+ksT3N7iCGp2NMyPwxssMQCu/RyaVb91i0DLOPUor1uYOwNoMnkgPaovh4pG7xKHWJKNkTx+OqzbgnUqnnmz9gUfh43zLvAbhqnFpyfHEEqbphEzRyufvUzOO6fIKHHFLAS7yArDZfLg9GiTC3Cygtu/IJbgG9zIuMHC2MPbuUUpvvzgzly8A/1+WcaNQiEJOVO1b5b0Q64pmuIhOKI+bH1vPARvJYg0AF+XjRc4GTF3FL+nLLCQ4ygNU6w98tikyeNF/sxJE1G8QSrcG2EjYV9L2e0LDk0ScBaNGfS4XLbKvinuk4Gz/ZDvrcKF3AsJupMjAdG3xTdR3ddDzrwLLhibizXmKsMcUvdSySkjZwlr0wfy+RNdw2SVceRco1ouWyKne8QtiXXNr/3tI/bfGX4rAinOyXSkKmxMp/TO8XZ0tXqApFxg28jTB0wRrPcFcppNCwp/Ill15B0zcxHv9/xGz6uZbEnyJRf4nbcVvH7dqfg+E/075+cTt7ZkEGEScg33nXSvys0xyZbYZDe0vHp1jGZ3lt4RPVXLmcSfsEGNfYE3/w0If1BwBUrFqibL2NdEReTmfrUfNd4IvnhWnWRZ5zreWPCztNvBROyCnIF6+G3GiAOmD4RGl6E2WqTe8xRdsw8VR2T7i2Sm5rP7j3oirjndCGRQxxDubpW7+nF8mo8F5NEsoNxC2H/zV4PKj1kynNw+JQilhbPv4/6jiu5rHCqZVJl/fLdQ4fB1jvgc0zccKePdGWkLUspxEwslWaRZ6kVwJ+wevsd5/anKTf8awUjuft1LZ3Odb0UEWVRim+C0hSbhchwxaXrz3anlN9rOC74GVSuBr02Db6D1LnHJJ1ber1hRkpTbPoTPt/ADyVnYT/p3aKI2K15zvbJFCbXcBXwNep44FuG9ziSdSPm5HbJbFSmUGCE1MDkFr2KUQpcOh9biuAFt5AnO3519DKOkjDoIyseo9frqEugl5h9Pc+3OxWkNMKS1gYA5TV+XaHsUOEmxptsUvvGgPg1ubsnwl9ep0vQIOVBUqi+9p0pvjMLNbzntwWzMLnIuK+ZtMOltQ92+Bj4sX1mk2MbGN7VmCnTGC4Hzb7f/BxFspDJRfiyywJHZ/F5nhEbVrWGUN9KuPDeuMVec6F1EnZxONKEzklXCTS3yz08OEqo71L2PqAzv/W8ZItGG9jlCXUKnojgHgcYz8UJxfAZ1y4FnYosudjjFVJjeoMqhSYjZhJILOKdMLqrc7xOCOtobXeOGd90apCUZCdSLo+SdthPyKbOMxer3DBWbBOTbKnZMC5pDGleqe+Y8lc1ZtERrtgwD3CLJ/h2Sq3a+RQSPF7J1PS6y9habf7Stqt7pTUqrSB+SOBLA6twqmikgp+NlAW16LdL79MzV9svHmxjgvErPgEt+Mwy8xvhp3jL0rA2u7pxNm1Rk67LyJuaIRGSmkibXT3vMaFoJ78X9ihFqln3iQjKE37N9wKEJ3QFW9Z3EgzpPnxQP1tc/IEXL6+Zj1kcQB77poo4fCFaaxY38X1QlBKm5eMHQkyfj87KPo5T7k+QCLVLq1/f71j8hFX2SRdT17Z9OTWvMqEY4BbV4MwjBx9hNM57vF41UxOw+n3knfpnHOaAxleGFldklcqjlQWaTukFQq254DekYTK7bN1fHr35kWe2Y8yyQP1l5jHA7cr/VTY5TnmgapQgnZYjvuUY1icattnCLm88TiZCl+qUFed6pZclZ9hRuY+D7V66jd7p8z4431v0nt3iCbfnVtIkO8QtX7wyGCq8iTzRHBRT5Kc59IyWLHUu5sCdXzh6RC+IhzvGxGHfjCvz9TLSvBahM/Ztf2HQBOhXwSjrzz9PUnmyhb3PZk+oXhO85B1b4xT8BeMOY0jxZ/9NoSdQ99poRqkLpsbzjGlNn7rKx2uBzcmtPWFLngqzezugo3ekRxrAKYYT20JDu6BdB1v3RHo99ZqV2nZzaqastH7znq8njlAspVetqVhbmODQL08cnt4bYTH+0mvfESLJQyPBgP9KuY9SZYNHR5pL60kti2vL86Oafc7+2Y5JNxwzaGLeh6srVq8fFqGpLXGljw1+FiCLM6/Dq8S/Uw/IkxB2ialJuNIcyBFuKC+e8TUnVQT+3Ja925255jXT07L1flJk5MQ/eqaDz21Vh97kWX01c/TP85kuzhjuBjGfyxdv4YyBySiCSgaXWM8RbFCRnyuRj2527nOjXgLYs+1pL6RCh7edory5gVLUO5FAjnwb3zj1sekJGn2eyjKu7xdWzlTDFSY7kR3mI6QRUxFka40YwGlPWtrOeNLZB3oJFbBycaM3cKD5DMOzoRpGuZC3u9y97YfKHuGXX1YTE543R3NoHi6yYsdKhxmqCOptGmW8u8fOyxjMZOT9zRkZZtdUNio7cx/J3kK/cqso9KMaYle5mKFRTj3zFEin7m7KU0eEuXAGU/CKU21bMgeDIaffwSZmzig1zeDomMdUIEaCnbRSCTFeMqZzdvVDOBZqoiXk+RQ8+I1IZExz1E/e89uFzJwYNF4WGaF3frRJvmmqEvvpmaBGDtuBKn+gn1e48XDSPkt6WANT13hzvHkNeZVOdTLAYGNQtUqpmiDOfE123PT6ZudpZ4kmkmlrnSeS5/vhaxRRNqSb7UWgAbaOlIiWNkVw47rgVdoHHdwoQvUL4aD8pmnmCS+M0DvBVRPmOBxSbSsfNOhUYJTuYYc/y2LHgB90N84W16xxswhOpsjelBLtkfttxJ89yKHyWapN0hC6R3noR9IL4KejTvhwohQYRs01fZG7GrtOACTxA95Ydku0Awvp7UCSflR4cjajHAPP7wwMmhc8gx65uZAw07CijiXkx7Jen82fP4aGzE7wdpv+5OnHqFAcOiaxb2XhwhZyI9v6mk1A9XG6hVIjP1+ry7hS1f6nuTv2NwgucH5Z5qCW5fJimnoBkonIJJpKt5d9JKzeXvKpOrTtCBRQ6kXH295+GfXsTPYy57pd3d5a+xEdWb2lrxq7ZH4Qrm/0YaBHsDlmY1WgZTk4tu8L9mga356+ppJYVK15tJ1KblskSYuI/ah7fHKYftAulZzE5EXRXVLM83blgXc+XcMhnWS1fVMhMp0+F8fhH390YRa8JEsk7TgtLEuB7qjMbdZz02bt0onEBDnEGeeqj30tmKkSkRZs00vUynQqz8xWH377VKe1PLkTP8B6LwJ/lrshKb45GrSe1NLD1eA+/D5owPPWkPuU9X2cosrhMM5lEl89eGppNqua4WqPlj9ms1Eidrbo3WA+R7NPPJEwbE5aaLgufzSiKKPeyOF1hquJzy0+HDvT5jnxkoQfWRHiJpW4GGl7T0jdTzg7RTsCjxCZLXPkAYQzLRyc+0qcNhJbbd6L30c/5NSbScn76fnXFHOcXR9PG0ZQPKiOfKZ32bKy3J/yJu9eB2Gv9BM6sGiALqvu5jLP6tP8xg42ot3nMJa11ss8rWB9zxRjKirybVyXScoEV3Kd5dZI36vDi2kOSiZU3Ee6nUKp5AiYxdYcmK6qzCcypIT4s20Nbeis90x96ZnKra+VPF+q9p4lelToy/0sZsdKe+Z0SMzI/RXw9VZnxQq9nSaPhlDxBS6mfoWCYvNqVlNSy951UVIkl7/q7I/OvHDTHvs13vL9M9JlJod8wypdyKoP8vqFiRnZUOrBD2328OIolhnw617DUlRJ5lnTsQkyXZVRJ7DeQrBmuktnjNg7L5Hl7ic2AYp5Gl7aYN9FoikemX7ukMGOhbSb1Zc/umEzV4HM/h1+n4PrxdVFPgRMh/U6vGzfnxiRFXBZw3ARG/TN9m3qFBjk9ITjvdB7JyrYQIldvOYn0KUnTPamqOi2w7fM8Vv8iJp6lhzuMqJuC+dodvKOWk0ym4yhrrbRba3wasJrRgYCkhxmGf3izLZHS3YJNLcuEwNgIvRv94WYRQOoMpAya51JxrPintXVDdvhSRSSSde2QwD/A9WTTa6H34C2VVVadhvN3mvP6IOJW+RkT90tKG1pT+uA5U4CUCWgcqb0uz5O2FG7/f0fdU+JzbCflbAj7hxxDNoLNEnigSccGqNxU5n3vo9KPA9SxWkiWgQeCDypkf7kU4WlyL2gJxO1naWzcTQVTCqgOXksvSpT59A+6r3h4nCPcvgYdC4CWB227x+jt4iHro3yUNzEaYdpFCtoZwR8psPMIHp5kHwUwwVr7pTYrsUKnlMQ3eOqzKVaYpNQL2FwxAprNSkayjXDEqlVCgoGbo/34r1nhL4sASbVQuIT5VeRWKaCKHnJKWpl/gbR+So9Uusvk1/D1YjPZRPvj9qmE7nLfCW43fXeKg058sXne7V3Fkav3rpQrjZinr95v3k3S0qraNMRGvEpJHuWl2dgpHjdzKGyu6XvpEQ090YwHYOa6lp8WAVrl0exaLTziRdBy3Hj8EDx0Zl5AAKS/WQlCBFEbnxSXV09B7/nidxu27IZhk4v57UXW46z9nEWUfBnFxdoN4nOZjHr0EetH37tlbOSNRzLIKpW6NpR8hp6S5V/sEQwlLeKH+5/Zh1Rwaalok1ePBvMmPiCpcd4FvP5BSk9H32X15y0Bf0JIJnQ/SvG7T56IgNy6fu5VhObFaZr5pL5ELGOxnjd0wmCYh0sju3rY5z97egDCtZYlO+xODOREu4lIKJwGM+z1kjSmjf5qIcs4fitTs9KaDHVx7t2bwl931Fzk8VplR7byfPmBRRWFU18N6yje1U8YCOqqkhlccBXxRI4iTj1KjQI/sklaObRzrTX+W4Ts62KcHdawPG4Sfj1OQC5ZZdbP5S66er2TtJBzcC9gFFLwzlrXXEhxpX/lPD65cGN0+P5OK9OEuUq24J8iT3lVpUqYiai+a86PzNbMzcMcWm5axhoMLJK2WLIFTondUCnXsVEeARjcr1iWLQrNpVRJ97lRie+AkE3FJKXB8KH85skxN2qKUfatmcOJEVfum4SC5mzTIoaOsPonm/l8JqbQ3ypGXldit4XMC2ZT2YqSt5InVdcHwwYqAyunhlCT4lHk8dwor25Tnbh3R7UY14Hb9xak2krhjdeC/Z6zr5HaQOXTm48nh202Au+2MSazu5zc1a1WMlqvRDnWSqZta/zDtoIyHscwLPbiV341nombTq/W2Q59DuVntw59ef1RVIkpeirqY9eSEzppEDSV29wO6Yc8gqo2XwW3SHxKxV4rvRSNtcPbvPU+gRhiTe0aihuVCn1KNtN5b3zeYaUZ3jlRdAmXU69pvQ5PmWQfYFbdZt/4kWdmnBunzJKw/hOkVGsd+S6qkqTrCUZ0CWVE0JNBTQza7r6IamYB+wlzV97qiB+kyFrRj1qWVe4lj3BzXVeTTDSE0AyNDAVZN+8V9rc/TNfuFwgth7goMNmXBczNGmSzWvzP4oySeQKZW5kc3RyZWFtCmVuZG9iagoKMzUgMCBvYmoKPDwvVHlwZS9Gb250RGVzY3JpcHRvci9Gb250TmFtZS9QWEJHSEwrQ01TWTcvRmxhZ3MgNC9Gb250QkJveFstMTUgLTk1MSAxMjUxIDc4Ml0vQXNjZW50IDc1MC9DYXBIZWlnaHQgNjgzL0Rlc2NlbnQgLTE5NC9JdGFsaWNBbmdsZSAtMTQvU3RlbVYgNDkvWEhlaWdodCA0MzEvQ2hhclNldCgvbWludXMpL0ZvbnRGaWxlIDM0IDAgUj4+CmVuZG9iagoKMzYgMCBvYmoKPDwvTGVuZ3RoMSA3MjEvTGVuZ3RoMiAxMDA3NS9MZW5ndGgzIDAvTGVuZ3RoIDEwNjM5L0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42m12ZVBd3bYs7hqcBNi4u7u7uzsb1427OwR3d3eX4AR3d4JrcA/wcr5zz7l1q16tP0N61OzRs6vWJCeWcLB3UfN0BDLTMzMw8QBUJVTkmZmYmABMDKwI5OSiIKCxi5WDvZixC5AHoAk0A6gCHQHMLAAWJiZmBHKAqIOjJ8jKwtIFQGVK/U8RoGFrbGZlZwUCaDjYOrhZmVoC+Nzc3ITcnF0ZQK4CDH+HVIFAgIslEGBuZQsEiCoqaUsrSAKoJBXUAZJAeyDI2Bag5Gpia2UKkLMyBdo7A6kB5g4ggO2/E4Cpg72Z1b84OTP8Q8DeDQhy+UvMHORgB5AXVxOWUFRQA4iLMqqJAoztzQByUn/H7V2cef6igaYgu39tRwdw+W9ka/zfyOS/0X+7II9/RwwIzMwAMytTF4AJ0MLKHoHxX7pJ25s7ADj+XTZzdfxP6y8h57/8AFR/NaQGmAHN/6JdbW0VjO2AACpRBztHVxcgCCDvYAYE2QNUHOyM7f+DMrazsvX8/+L+ByHtYvxXB2F7i7/KMf27ZOUsYeUBNFOycvkrtbmx7V+J/qlrAv99L/JAMytXu3/PA//q8fdGzRzsbT3/58i/a/xzIKOGspikojLtfw3wT1vc3tTBzMreAqDq8ldLY5DZfwv/tJWMrf7tnv+Q+Y+bAMz/m8sbu4CsPAC6TAz/sgfTv77/RPr/ixIRcfDwpmfm4gbQs7IwA5jZ2DkA3Kycvv+HrqkrCAS0d/lH8L+7/Cf/x0hAoAfQFGFt2cGUN8Q6rTWswk+8aLYSmnZ22kiddpkZfGWq50oX3WrI0szw4BL/Vg0/3x2JYCbQhH/3Ykf6toXEOA6IdDQxGUMcob+M/1xCWmnhV7v1qlzw0hBh8BtKA8/OVAHqKvLGJWN9LUiJZpItK/esVsapjB9dkjnGqLyzHxptO3514d5eklqf8kumzgcScI+2Bm3WMrTwt4ng8681iPD84F2kK3I8Q8vCikDHg3DtW4sPVkTNHRP7Xud590wZGwmao0O8w/BI7uKI2w+05DIr8imy9UVNnoUZtgMKx5hre7/ePz0P2mpwaPbEkfe4c15LaJe61irfIyEqeQxRH2j2t6tgWa5tTPei24OodyXuP6PYbX5sB+3Q4PkzUIyDLWlLkhcEl2dySPlV/qpmpkvM3jyEJXm11balIJT3WP5Z9eSvN40ijLIiEp5/C46JGpvqUlatpc/XDZpsJ3v5Nf0DrnaDpxhcr+be6alqrf66zrmcUnFRuBsvohQnI9Re0hFLVXhZ2XZ8oHa9ekvxMUAq/yi+0RFbU7EV0WVi5/R+P4d54i4fXqVM2fk+33sRFmCGYQy+rbVIkzxiQoLQhHjbVFloc+6LhbWPkWxK19pIqE76aoDSU72ljYjQb9VjoLojC7bS92xem2fCyxxLwsjiMZqBxRsR/9riMC4Ev9EUGf3VLoFBlzuTv/NNaG7TIZg6jPD5ZzTHZ0RcwNlpmFXBt7jDcc35G2zrrBj+nBx2ON1v/YuR5zXhNLBOLwy1Lb2DF+OKaozmUHwJqLsgpnmIUwWXGPvZhqOx7ohVLFzzHJ/H5Zi37Em1IbsvtHY/6c8FAT2TNBb8CXRe0YEOngac1VCfnTHKlJ61RSG6DeeBdlBE5BQn8ODRXKPUEOfhRAR/ZgpG7dRjOaZMVOiyPYKw/mRHArJG8OiVwV+FLeEIkuqKPKiQjuaZIZLBehbOl3kCWTDmK2tRYvWOnSrUU8WpxIhYQrxioHM8D0Gb+72Blr2UQu95vpVY2+Z9POXihPeRv1cWPmpQMcyMkFiSPyK+UN7c5mtltwfqdoY/5ll4z08mlz1DSNxPhrulAYz8wx8nusvgqyMdhQHNKdgGjBJM+z3R5MAKXsqi1JFE98M9/pbWB1Gw1mPbiRhq6/E8oJrX2anCU1NR43x0qqkb5yVf3ohytIqI6Rx2KLr5/U4C5+9r0RGNQi6y324OWIO/vhVZ3iyXmA9LtSy3Po+VUHF/uUEkAqjBBue5qSF/a79+StFr/VOtBye/iYppcLcvVlaI1OhrMRzgJTpV8mahRAfdHlKg3KeMcbCKIjh4nNgYRT0vrp9A1JHVy5HxwDFBHabEwDW0kBo0TSJwNwED3DI/6CKrXyKp7FVNcPbxxS9iMdsMFqKNy4Nuin9QPqRpa+tjN/D/yr7RKf4sKdTRFLb3HdumntiUojOw1YwUrwei8PBFkEBTOXUxrezZxilYquKEEsVj+7GpUD3Lv0HTTCo1D8+ZpNLZQzpQo9S2BjRLryz0RHuE9ftKhEOCXDWRVktNuvHiMgoS40a/d5ZNhjt681B7gY0+2XB+VNwnLfT1aahq+sC9J63Lx5Z3K8TqD+4lWuhcZPf3CxBCxBNR2nu+Le65KI22xf2tNP5rLJKYvYgi+pIQ4YpRJFgexY+J/OgLzZ7umS9xbIZsQ7FtRPeKZop1d/6Li0KTNXOoXQLO6t8Fxx48mAAUr/zDR/b4Ms1fLMQQyqKED9pv4zI3QVBGjcFIaFS72pvd8C9M9fnrR2lPd9nrCIGJ1kZmwXR3mYc/f95uSpPdBwtoib8yxcgapOXQqCHu7sIQpdrZXMgUTIVHYaw15Z+4WyYaH5v4PL/P9G2RALERz9kRXEqjH0PZB4za9CwdWp3DEekCmglpXgjoHf0c9IRyVoywrU2eVoyzv3ILoVRHZah+ri8QXcDx9Gf7070z3l580KSVkwUeZHp35zlWu/5xIaMcBgPJzLj9ol7b1o/Ry4GxQ4eElNnaWrz6eLEyNlnaRcjNYabFFZlLYdrvmw+bih+6MUiQMKXfHP3CuLcAEZTPjKBiLITneKqXhuwvMBJdbPBWiqFrml4ZE2QnAsG7e3mxKXSGibTdnxIh4S4VVTNEn87WZvxVgMRw3chTHHddjG+mGYO5K5xGPZBdb9UmVSYz4KOcmjxMZR/a/ZercmCILwlx2/oxdD6VUaIvS1nwkayNaHt115HOaKY3Z13YpoLCQYolXg2Z475qxXdDEWM7W5/HMC6IcMhIuayMswanV7M4Ih+psvdgc4Zd5YK3R3HmSAwddc6SlNSQ3PtfrfpJp2mX8fs1Q23yC61BgyM6eZxAFYuADyIZrN+Xyhok5WeIN2cJWCkSkpIRfF24glc2KGPGm/3kP2TCjtWu1rG7i1PxCaIiTzQ7el6JodkgCtOGPdkXHXmx8c0N1iw5sYjHk7AsaY0WKB6ZaGVU+rnelu3sBTRyoChjBb+2BdvQyr1dkFHngfo3C57dgTCNf93852gQtCh4aezxI9tDfwY85KnAR5F/GTMMmPn7eu5kTbn2Uy1m4gXebaSQ/HHNOCsPZyrYsntbtwCwLkXfIWOOPSWX+gge2V/syS0mTOGnholDfxfScflNhD0AgZNqjZfvogmfO/qcYzT2g92an5L1I4CFLoSc8o24aY+3ljCVKWEAoOp/Do0MLP6YK44VLyZ1UhjtPp2EVZYas02BQ6YpQBsb37KfdHiImAoYmI7Qj+XK9VCCBAnfNFW0QShBERtBLdL1/vpulnxa4dKjrBYRDhYimLXuG7O1unL7iTh9ijy584gZtzMXOH6JsDv2jDJZpaVfprEiIJ8Zxa1zjzH23cX53GM6avBSBt5jk7vKp+xi15zWJLM+F6QU5+cPgqWCY735Tck/K5GOtmy54iiIOmXji37PGY7xIHXMyj02QPmLHOowAl9TuxdSRHE0frB0HgPVVXp+MYivg1pHtcMJM5wRrxp3uLeemeoo9avpLcxY5rG8M9TiQGXyV+MVEhGhagvVr0NIIRyXOriZKZUXynbhdGiZD6Rii+5h2zHygaq6hUBHDRGkDEoOJBnNi/Q4mEd6rQ5sHdEO7VOCxPF4YvN33dwMkNcqxLdtD8GTNCwaePCnDk0UoQX/vlBF5cJEni8HYa2HjbkBjJ84iuIiWj6m6dYiLWKai/D57sF5Zb+1w0FttqDr7LXvq8a0MRLRIMdEmn0LOFFUjeBDmYwvuVOavL8pcUvRtd9qKjF7bFtwW3KJfQ6fGB/L6zRHA5luRxWKnWRijnaxSZmLOHT4Qj8lfXY3bG7mvEwDW2KbvsRWwCDicvvrYc5zri3S1csdn9ksIjE6k+75U3WU++wlkebSjKJcHouzHBEhCEuRHc9KsPu14hSn6E4TZJuSEPr/NFLEX3ZR/aNd0ked2HiXKpuxB9YHxgWFnGmw03XcfgWOY/n0sTjcYOcauUzaDZlTzvu1d+EjjrXUCJSXy4BP5AaVPup6dnyQBd/FQ/tNLTbk0hQSmPrHygJMBlm55a0wRIr0heJpydiKUM/adxKjMUpafKMOewKCAYo+xBzE5iucWtRDmKaACqFK4aTCsjxDvZSaUrjRP4MAzcmogr4AIDu0TDI2fResW5RbvO1JSodLiXPVnPS5WpBTuNYVDynPIW24ApfeTCNr49puO2CBB6Bn/ArN8IEgL+gY8mQ4jX5/C18Zb4LPSVpZuQ7WcqpLedukfE23Nxhs4B6HM5E2y1KeXI/n/pyQI7/G3sbThiURlSP25Bc4716nKnlBTh9q8KPfFCiq3saRjT0PLsFLiPoMx2K9XZ8tW3WdDQ3Dg0JA801U/5hfVU24RIUWNVo7v0haz+HjCpMVLwVg10tYmn8QF6QiEXKuaRhjuMXUf96xqVja1gsfSshCRLZVNys+CUvPTe27SYKntyZlxrIiHFwmIXzW5y3EAMdKsV/Wpxr949oab9na0EhbeHIY1I18vQPFIeYs+q8enqfsReluwCw02BZf5JtXafoiQOgj1vUTO4dzD0XpaNXlQ4QuV2BwSMFbYRUM2uOhMo6QA+GJ9NkxiSbISkPyA6OhvE17HWQ/NhyTwx1B+NuUTlwL9JrFJxP8ZmtmjoNfiQuGAgPHBGk+6i5/aDxIUw4Lvlfe1ZmCcp2PichqlqSC+k2Nvd2X9UV4CywQixgCuY9zWfq5v+arHoAfEuxZVIEXoJ1ZqE6p/KkrPVvg/n18VE9d46cp+OnKCYygBAw52Jyby39dokuvqodyOdMpuF7cNnGxGv+SeyTMsKsjnlNhd6FJuwSA63R3tV5EcZS/5kUhQ6DQc+9p/+2p0Lmx9YNST+f+BzQoH/JcYJCIZ1wTbo66ucMCbscFyg2n6a3njAZu2yzQILzEEbYlub6nWavLjCnKvfas3NdkNvHKZx2uJ65Ba7ed7TdOF6U83xUiUhV/JQENaqK5zIpOar9iir/aJcQ7xA/Ly+EYnXoSlhZ2Fl5jp6kGL9Ky+HMVPuqn7xMslR1gnFXxH0uk2xpdUBjr7q7tMyjuV0cX3bTJP/M3O3Zla01qNV42EocmqL3wQvdW1zkkoMFFnDhk0/juhchMn5ahkY7cru13p9JwignkIlD8JqOM52QzEtkWIJ6xmdZgBa1WmL91NOFKNwe7+paRBXIc6Jh0MxVjmPnGq7vdi10iV+PXFJu6K3bqbog1BmAeYx5WDqcNLmFC+tTRZ+Gott3voIdNYZF1Vi5Nty0r1+fVrGbLPhXVxDLbYCrvR8K2xGLihQiwGLbASWeIpj0ovA8PIgt27NHVkrAMyJqNCsVyjR5VLEO3oEmLNg4aIopde+zflm9C/6i/XR9rPRZqc07qXpBp5jBslxK+SIQYnKXLpHsiUHmTeVsu7XTPC03EmZH6RKowwTpi3HisqIQ4sUZcSFBM+WFolx9255sbUiK7796i0Lr2gwDQA01t1+zBAkHBfN+QyD7jrHOt6kKhT4NRGIrLyM03EHy76oQ6KUoZ80eeaf2z61cdYcpi2hFo/I27ttgEdxrnQ6ClpA1Rrcl3gFgFR2OKfs5yH26rBjttQLcphejmtmaaMZOusbWahELDiV/5UQh5TZQW6VAW9U5y70Xhc80gPU+2TkLXkI6qIrXtULFsxKHUyzlneyU4Pzi2+cY7hPpHi6Z57qSj18vY7rONpfaoW5dhRP8GgCr9KccRP/6sZr3B3ZMs4EuY1FxSQ0w7hz4LpkP+VSbdY97CujzjSCZ1nkDnOuuSG43TgmUn3Nh1ao23BjW6BHOV7kIeu0me4futLp7f0GH794j5OexiYjm0wGimtxj6wcwX2qJar7HWa/ZhXeKfwK3wmGAKmzL/++hmGIXax0bWCdqvJ4MBfDGayURbMxb0NFIopRaiwCrr9+ZzrcfzwXpN11kH9sW3TAI30DQS4g4zhw3HPC652cTPPkRMfNdItjJywEGjil84O/N7lKQfKglEjdYOzP99TN95GT+qJT6pIwWGVzvUmOkdqZp8a10QVF3FGMNQSPjtTq5KuPEyILsgUrcm6J4zWw1dtXeBLenCnfT+jQ7ydKkE2s49ItriEk7KrWxtDRGJ++Da7VoAFOmFTP+JHUz+biOaWHmDLrrOIC9m82B9AsoeAIkSJbSf5SQ22ZnR+vLkPC4/oUI1O8N79RhBwWKKXEOLHbpMwzXqc3DwZN6kwaMckmoFfT72W40VHTgLtpBcGMNnLSBpaLjExu7njOj4oEVZhktjSKpYQkk8RxStEnEnuohHZeZKoXZ2YBnPekIRtU3K/3akz9+hpFz7VUmfYWTpOxvhqRftSQhJV7pLHgqxzotXMkOj/IgXOF/CXaxukycPlFJPBtn1SEO9IsbXOG1E0p4XojHJthRrnL14h0+gNLQCkPPtWHWxgJMndfW93xXRVHiOH9evSpjK2SVzBEdM2CMLGx2aUnCKZFVE3cov9PKMNVR73WqxVvew77MzUmsuDwQkPVzQ79EeI1DlpgeqwIggf1X+cZXxrbKKRMZS1XbODZ7GZNo/UWao3PHKJCBOMQv4Nvx19/SIVcoL/f7gkkIVqaFxuLoNVvlAiVU72ltsBLhJsfZL80jzRhaq0h1Ahhux0F7hb8hqsAHq6zOr5AOvpZ7QeA14s9JdDEFVu9hf4m99Yimz5wMkoITqt3HZ/mo94aSoAageOn0LqlI+8XdyU8WtZYEPEzG9yP253l+bWMoP0ZXkH0V0/dXUDIG74U9bZwIK+vHtzzQG4iRFGA1SQUc5DYLd6kob+aAjxJ8gVHHER7tHOVe6TqcW584xnjz9PY/1MOR+nOVycYUCgvuiUOtery/DoQD9GPPPlVd70SoycqRrPswYzSL9Vt5RAdHHXW7x/ov2RJQ58tVhdRnxQAf0ftCodG6kRn/NWDq1kvkSm3RY/suO0Curg5Dt2DeocPQrKJRVexUna0tOSqyzlVU1PfRrY9HK+Hn2h9qR3oYmIxzoeCZ169s43WvZOj3aZFpQmcr98Mg4Cbb49ACOPIoZCfrXdgK5aB37DlU4QI05YKEVFR8RobrMxYVJ357LnO2G2s2ALLRTCZbsIMF50gn9x0f9hYrA240T1vNdMKYLykOjGLRZrEHJi77n04mlWVBl7bbAJezMPrqH62HpgE3ILTlsNM9B2VwYpPiNXermNY77sIMa6sN8Y1N64uIp0acojLhMw9Snu8PzIq/DH29D/R+z2NcCxv4NMIqwuCUMS3Bi0UlalH3P2WlatpzXtgfk5CikfoXd235nBew41aQBNAE8dRHMyoWW5wsOE2zFkmghNrUu79orkCZJBIEpkjQc24zR7wwCYhdSuF4GRgw7LcN2kF/h2n/bzN+ZUSCJLyUoNNg/bEPeCldB/8ZEF7j7sNWwO8VDu4l5smkXIRB8RYlDKflZ8/zzjRbDh1sIeXv7BvrZzckiJk7LSOTNdSpVTPf6ItlNGaBv+0jslGtOlxKfOWgvk5adpPnK/w3XvAUxQtzooaPTlgrrV8FmuwMk9UHFOvfi40UY9FB8SaytyiT3AN4UI/BSZrocUyIn/xeiInfm7S9kGmthQtSkoJ6KUMqjMFkUjyl1cYfviUnaLJ6lYfLWxE1tx8Jcu5GiAhjwUXT5O2OO+quPRjcRqHgfKL9rJBn/LO+hi0A0TqIYYxDN2YsV8s1pqSd44q4w933xVQPOg+sHzJ6PEdjQHfqvd3AYOptjhCspUtGzHZRf7E+Xlcl/tbCMihGY1vk9vhjx4MkeOB59aUf9MXZwnMyKp64PTdgDGKvjNcG9Xe0kevXV4gCp0LzjPQ8NUTYove4qcwF+Sytlfl/2RFU3Xxv3aL7NS4O3qFbH59MdalRCRPUU+qkdz8sEMVokh6CffYP9Fe4uTeMYLTJdgkNu9QzH/8SP0ZEl2t4BwsFcka5GBas8mXE8C/XIQqpTj9vrpu3usBbOetgoIE9UXqbqc/qsNNZ0/4DqBtnUWC1SyIhmt9KLqliHT2Xo1ge/M0EZl11Cv23m11yIu7gsnyVqfJmUXZqM0/iOtKSPVIbNQHSi0OBWOZW/mr50LfQF4zTP97WxJNjj+cu1SMwqeseHz+zUlc9xkVwJEwmUPtZUtvV2Z7zTfVh6T/Us1hEag9YpxLXXWyIMlJPUmv10XRvneYz8dzngnDT0tztlDW6Wi0NIl58PisDZej6ij+vQQnovcaUj1BCR42d1svMkyrl64mjvd96UMwpqcSfUvRW4Noo6VDnqD1RfRv3K8X0cvjC9ciJL2oQlV0gUVW5i+S0KxYVJ2dEYqpN8PIqZBl6FW26NBv57S6KdOvZY43vOKchgUY1SR3T0EPY82l+N7ZAKLznIGJX6MsOebKrSeLM7XDj6HAPEPTHFA0v0guhBY7GSU5hoP8GHUM3BnDyCiKSEGNtWNjWn4Gk5ZdDtlgiwkbl60rAxEIDSLWgseDY2l+/mJ2RqTxQrniEVLXJdaqnFLYYpWLjQt1evYGxrGDt3bqY/VV2ews/uZopl/ZUXleXny/mnDyoqLAbnIgvaU31PgjQjbcbE5kfRwaCgvV+2kzD51bs78i7l5xMUdWrt7NrErJqAS3bMFSo5aRPuRD2N4UO+ODS3OBVW3oLr8m2+O63ROT72oTNJM9ycPeTbEuvcFqmdaLWG7J4JKV+n0Rs3yLNQyH2Qsnip6bDO0h7cKnb5AKntL7lgzmAiiqo7M0ArbD/W45a1JUH8HgAqgTW7Z9klOyVXjUfC9/NzPeZOqQU35YV+JYV8y2ckXGYILIR0dduwC/xGnxLkDgXVj5JISmsXMi2JopFBuADndE3AFETH7jyU56583zJjBHs/XePxp9AxDI8S3+YLwb2ROmwTwa9qroUeMf9Glm90N7wvTrgaKX1u3Ur7SZbX/AHpoX7tjOjnQMA822xNpdakASUt/0aEaDg3+5lReWjgLUHza7Ny0sAhZvcBVtPjVBLenwduyeD0eefkOn9Dyjf7p3xEi7Bcb37qE7t4I8G8Pl23Yt/80eI5cNqt5bGOAnLwU8y19Z2AQyP6Y8yF63BLlFTqZGawzfiwumbc/uqcbzy3KfI6dVfsGgKhjuZG0exCaeTYJ7l3kZXVzp9ar1KPt5qnKO02E7mTLC/4PJOFt7JOZHwXawTDtQp+7lnwZXFRr9Ppn+MrqazXWLIOCY2d1+B5aezmcRezQG7Wn6oR7CKWAtfitjzILidXd/q+jYtloiNTEeC79Gn7iBk22NLnClMCNGdXwdVjESu8csZWjpim2JS7+6bB/j23g0945ReqZWNM2in6W2x+7SKyX/2DkLhMCOd7eQpkeY7zmsZPpTdgcnVbNSGlwjkCuVjiWpHSo/IgFgTzzHAvItnME2pQ5F19Lh40yp/X3vZqCfza2r9HvhiZLEYeIMzRK2az02F9XwzfgyB0vU4tYbBlXxG9yVX2YpbXS6Nnc2WKXYDvXSW8+dRQHD2eKDRscZqT8GPAFYc5GvrhL5oRdLM1Z9EWN8Bjdzd77BvvJGG9k+rUcI+Gy3ur7rcftjagJECvZ3XF6WEpfW9Spm08ZqEblUZw+prBkKXmO2Z5ojsObrOKHu9NCW22si+wv9PS/sphgYidpJz+5uZzx9DaPZfTdchJxxeb0uuPzGwWyTbeK0bdonNSIS+udwexyxaZIkPbO74bG0TdOOpRyUVe6WILFc8s0U5maUgOh/hjjE1eKxztRXoiyW9hOzdOk3PQ59sXDVKooYIoIe/Rs1EST29fp/Wj0isC0hYkWmb+h4g6visokemiu41zGIfkn3XEaFMCTJKEy4TM8+/MW1cfobK6ZjIT9U+7QvB49VnSTdWD9R+byaPK4FQT+YU05IRzvZ9+tMMLE5tZzNn19An0YK6SxOr/97dWkP11kXiyW7XpRGLk8v0st4VbgEd2PXlCsZdrdv2SPC2Ku+y3Knvm1f494Ps8eVLKy5+nH6HT5VQiebR8Iv5Aclr2U2Np4evpXGju0nXAqa3WdrtEpSXZhDoiGTZezcZXOuQo1rBzXMhbfkdpPc3+rMY9rlG5feeBIFEpcqijT38La5d4SxEfHFutMcXqMCl+MQ02mbPhrjRbyzTmrUF/IOm7a6dLyW7gUYWyEw9t8yRxP05MPP5mbdCwsIRXF1hXRquUnjzi76C+a6SuRrdG3JEqMpMrJagnh1F+8Y55XoMFpQ0Y64UASQIVJ9oQB5v1hEMhGpw8unsaKypVu8VXKEfRAqgpkDGCo0blNsO3ZynRuKpQb/mnwejTWd7eIXIxxN9+uvi32LAuQ+7bGo/qSallqZM0Iixd3mHexJlJ4EPGe8Udwn9C7bQ50baZYSh8LyWyzcpq8PYyQFNcmQGR3t8EGvKVOJmSBdKMX3N/b4TL4GYml0qb3OzW3W7MM5EgvqSqMRmCEELNznLhO6ZI84w3FN9XBHGJZwQ01Prudi7M3KZMiKq6I5cYTIuNFcHuROKmbX0Z2JSvUDwwTDxxoVBSfHZxPOTkb8t8I7him8EI/BzrFh27h7pOHh6vScrV2L/PKdRCyINdlAU/TySn0+GhFP7I1ovue8YtWqxVndir2nfSuJAaUAWoTUsQk+PTA5/Pn6PqSo8Cy8rS/fo/a3v5Cb4gORZ9f/K6v7H5CYxu0dtxWTZ6IcuqzyXHkHfMpsrVlKWbB4tTJ4eo2ub5kxJtMi6YhM84ApuLf+c6LV6tUhpROjvwy7VwhhxF+dfeaU5jZDFuXHaFkufbJLsAI1LoykyH32RpnK2lPtzc8uv72E0jWkph7AE87m3pnep1Afmb1P6nhlrkldlZuSqGTMCRmuFkc/j7edO9CkqiRMiBdsWHm3vixpUiw7zfxfpGWmUQMVPw2WPWbOqlUTqQIwwD3MKdcby7mNZB+Oz5cj3BtepjmorbBCsivU60BWOQsO6YVnfERClg1rlbSs5Kdj4zHBefqmcqllMY9S6O/NDhY55djuJaPquekxctVqGoclWHjmPcr8DGYPor5a9MHVedaFXeQSaCNa1rzzmVS6eU7dPL464ADXjxXEeIHcimYDXX67zI0HkB0ngq2MHfDlVBkYbePnCto8bx5hqs5QL+2QaMJkwCCM8xYWJnG1PJFLIpCcXkbNAGqPVezdzrXc9EqJKs0EZoXtbquYL7CRbPHPHpZCKEy1D+73ml9M7qmQsJ2jCuVfE+imkYG0l0GAs3+8/BKhvwLz+/z90ZO5asthm0u2Oqmo0GwGtjemuiPdSlh10Y3pfDsrq19Kvn7j2ICnQ6rr0MeXWDcqsmW7eH3NReFFGJfyBfYq47b7H23PkuSja8aSZLbbyzMldOJu/CMCIeYExfkh0m7GtpuTyhuHOu9t+vhkVmPex7Xs1erj1rqEBssW7trP/MpJfhHQMsXy7MMA8aXdBAdzojfG4EfBbw6l370UvzqxcPkm9eKUDzZXLUSEtxGHbbPQl0fdpnUC66614KPAI9gEjm70T0TqEpKVGSRyb4USm17YyX3MXOMpVe37E+WfUeDVG9oeMipzdNT9yK9M08sCOEyBW2dqRYW5rjohLvfA+3/u/bcrI13y4Qs+0KMtFrS8uQvqJQ3CHG+8+I6Yx9OvyXJSEby2ZmeWuLGb8yRsUSP2OQ4USIynqhDQp05FcN6mpkcUL4WKJWD1fU2H7WqNG0rZDLHGG8LAwUlhb6FddBRhNjMJVrTDdr5uNxp5HXERPI/K22QrRy1TjvbWfXeVD1wGV8Db7kH5JFN5YVWomXGJmsox9lqhwWu39CL/IZlRPP9TpgSsv4T8GlgsreNKHYqnc7LlImOSvnq8EuDzfWONu5suxo9k9po/sJAZpCjInnLLFFP3W9nd2sLiBAIz0xQedaXN7jx6FZIZy7G/rfMYSzwLRe//xiZ/WlH4LIXpoDICjccOsT74q3C9TjrnF/4RQfjz6NE6Q+IrutulZrH9Rt9y1szt+witAJbfVI6uZ9/R6IW2m4lOVxeEzTIuQnmhHVo4kGw6AiOwK/OdZcn2mVMuGIVZARhMwVI0TyW7hG8gJ/zpbRCYwT9Yow84tUR4UDr+CwGCr/Ulm91q8hjxEXDTz0bgLBAzmGzT5VUvCqQ7pKz3LZMfT55GY3ZlCX8B95CSI6P3a5R3fQ0bg4j2EJzcAwtnlSEJGvBp/o6U+f9o+am9efc1WL85bhPjwC+VxjziyxWOEbptaPIoxuK6PMZJJd4BHXGPNQ08MR7rBT0ih1snTcc74+RKMaz7KvfRmeVOY9Meu44nu4x+bofVOsxM5gBMxEBrc5wgkWdnlAcfQJuBTyhTostxgTkX2DYixfZqCkNFjtiyJmQLJO3aXMwIqBwTnUdbJilwrT23C2zxor8ycTzK+sfkvgwaige7ZsjABbM8YPXasALuvSLmgY2qKuQhxFBzGxqBfsI6nl6D9urjZ18bSxJl+gmE9GArOxXwKjcx+GIfmljtq8BV3wFWxEQ+ypmWYGFW4sEDYkiaI59LxR5/p8MksiKd5HBxBIWYYtybrsfYzB63RFqBvOsyf1ZRXCSLRF5mXf31uI+tQw5EgtesHNNezFjTLwvs7YkNtPaQVWj8LkITAm5SY41co+TMIpcRY+pD0/9rlQRuOor5yFcvFLH2E16kdcPxp9A/+zQaN5jIM4LEW7V5BDm8NA0/+7Qg6zLDbHDm5pLXSrFtzwMaitEc9x0k1loyKkBlzVpfM5ZR/ZaV3hww5BmZNKkMd000TVa/N9U0ZLM2CW2P32OmLuPtdzZ0ghbcetuHSSBaGYyfs7GT9bqmG4XjDUdvGdKAPbiWZUYv/eUC0luqlqX/KTC5ROp+/4y4Dm5hR7mVM9lRKBiqrt0XHkY6U/18Dc4ruMpjpLXRhXgNNedg9sb3NloFz+FkkLSi36pk5WpOT0l2ZVmlt5fRrh8MWy7InshRRso1KMIoNa6kdUMoT0FN3k9pemEX42WC/QleHuxRsf17nOMPca2hW0tQO3emRZSM1G8UdYAwvHT0+65BwjjbeeES0ofjJVjeJiTq3ECRoWx1wXkZej68k1inDrtGqkaIhdrsMKAyeFWdPv6pJySkMN4c/L8BaR7PykTla/VX44uRwGhWCAZa3s29XA6FhabfmWNN3hXQtUYzBiR8o4KuIxKrPRrITpgfk4ETOk6OI4nKiFAxd/ohLkoNssCH/Qt0MN4OkUy7M4nIG1HJ2o36pSpjYzRN6iS/lNLmjp7U5RsSaMWB6uCgXnaI9AeF1LkAzRHQaeMNg/C+VSh7gOjcdKnMmMgMlR9TW/IiTP633RkZ9R/qYTiTGfaHFSts0rQNHu6NqTcUsEUifRpBthU4zL5WUM9NO9F51js6bSMKqY0v26b/SnHnPRGy/AwRNGWwt7Ea0lyPCNRILwdT2AUV9m90OPECNCTpyOMzqXc2szsxS3Z39UARKAVaqEEHDNXgcyEA8CcHC93mzMXBbQxw51tVE9ZPYiB39fQCDU+UR6wda1EaFJcMBuJJ/fHpd8Ur4ZEXis0dmpykiFRTHhXet5rCiXNSMMz4U9bE4uSJVjRRzElAhm0nKB+ez9coaY3Zj28x3FSMYsFTyppWFT3Ut0SmpJ3NaWJHSLf2k89SPKo0EiOIzFfWy8o623JU7lpGchg5duo/mYwsYjTjcSU0IlXd3Tl+HB+sWP/3H06y5boyb81wce2HyOj0aqQXmSVyHh2Pd41UgNJyCppD26Jz/rqgXGRpp9cCvYbi5u44tICEdBwPN6TGoMRKZd6SOC2WdGf9GfZ+C+se9l38ByvP2VjnaJWtgGfpENuj+7EE+QfVNMHqZNtUq/9tM48cYsKUflBu2V/x3+gYqayDceoI0B4t4qChcGjqyNFz2qqhSrWT0DJgPMBhEh+3x07R9ZT1zI9y9Gj72skZcw+v1EKIIQrW0G3R41dN6SPzKrlRGo5GkDbFY1WU/SM0/z0FfF6EZI/h9kRoHOCmVuZHN0cmVhbQplbmRvYmoKCjM3IDAgb2JqCjw8L1R5cGUvRm9udERlc2NyaXB0b3IvRm9udE5hbWUvVlFER09RK1NGUk0xMDAwL0ZsYWdzIDQvRm9udEJCb3hbLTE4OSAtMzIxIDE0NTYgOTM3XS9Bc2NlbnQgNjg5L0NhcEhlaWdodCA2ODkvRGVzY2VudCAtMTk0L0l0YWxpY0FuZ2xlIDAvU3RlbVYgNTAvWEhlaWdodCA0MzAvQ2hhclNldCgvb25lL3plcm8pL0ZvbnRGaWxlIDM2IDAgUj4+CmVuZG9iagoKMzggMCBvYmoKPDwvTGVuZ3RoIDY5Ni9GaWx0ZXIvRmxhdGVEZWNvZGU+PgpzdHJlYW0KeNptVE1v4jAQvedXeA+V2gPFHySBCiHZCZE4bFuVarVXSEw3EklQCIf++/UbE6xWPRBNnt/MvPELc/frdTvRVbe3E/XI2Zs9d5e+tJPs9+4U3d3lXXlpbDs8W1vZajw9P7HXviu3dmD32SbftPXw4MibtjxeKjuyfiYZ+1G3gYI+7P7d/p2UTVMLPtlf6uNQtxMO8ns9HB3px3PmQPYVZJT0x/bnumufmHjknDtg3VZZ12CMczS9SmHTUdyhbqv+qoftoS4SklV1OVzf6Fk27j6QvP08D7bZtIcuWi7Z9M0dnof+kzQ+RNOXvrJ93X6w+6/S3NH2cjodLWQwHq1WrLIHV9HN/7xrLJv+OOON8/55skzSu/C6yq6y59OutP2u/bDRkvMVWxbFKrJt9e1Mcp+yP4zc1HH5HA+l45UDDOI1AUY4QKCaiD2QAECK8CkmB7AAoAnIOADUELkHFIDCxVJ4IHWARLpcEGoyAEiXhgCqodBWgcG5AjBDekxd+AzCYrBjdJFJAh0JGKlnJGBodNGLMJzGXEaE4YwCMA/DGaQbE4Zz6hyQh+EMamQ8DJdJAOo2nLv18Xpn8/G6y3+7/uoMVwukcciQkqMrlx6fI/aVFgbxzMdrxN4CDQ0uiWKqc52PcukWhaSaBeEF5hbE54Zi722OWPq+hEvfN8e1SN83Rx3p+xaE+75uYhenPiYOasrYkLXkdZyBr7wZEvqV8THcVpn3leLc4wXitceJT3Uk1Z9xf1foG1MvJTF7XPgYeEIcIYCn1EsoaEipl1TQluaeg7tKqQ7Pgc+vdgLX3OvBPWsR/NIy+KVV8EvPgl86Dn7pJPil0+CX1sEvnQe/jAx+mUXwKxM3v+jLoi8J/2zsodvSKC997/YJLStaE1gQdWtv++zUnZBFP1qE4+bF20sR/Qdx7YPECmVuZHN0cmVhbQplbmRvYmoKCjM5IDAgb2JqCjw8L0xlbmd0aCA2OTUvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjabVRNb+IwEL3nV3gPldoDxR8kgQoh2QmROGxblWq1V0hMNxJJUAiH/vv1GxOsVj0QTZ7fzLzxC3P363U70VW3txP1yNmbPXeXvrST7PfuFN3d5V15aWw7PFtb2Wo8PT+x174rt3Zg99km37T18ODIm7Y8Xio7sn4mGftRt4GCPuz+3f6dlE1Tp5P9pT4OdTvh4L7Xw9FxfjpmDmNfMEYpf2x/rrv2iYlHzrkD1m2VdQ1mOEfTqw42HZUd6rbqr2LYHtIiIVlVl8P1jZ5l4y4DydvP82CbTXvoouWSTd/c4XnoP0nhQzR96Svb1+0Hu/+izJ1sL6fT0UIF49FqxSp7cAXd7M+7xrLpTwPeKO+fJ8skvQuvquwqez7tStvv2g8bLTlfsWVRrCLbVt/OJPcp+8PITR2Xz/FQOl45wCBeE2CEAwSqidgDCQCkCJ9icgALAJqAjANADZF7QAEoXCyFB1IHSKTLBaEmA4B0aQigGgptFRicKwAzpMfUhc8gLAY7RheZJNCRgJF6RgKGRhe9CMNpzGVEGM4oAPMwnEG6MWE4p84BeRjOoEbGw3CZBKBuw7lbH693Nh+vu/y366/OcLVAGocMKTm6cunxOWJfaWEQz3y8Ruwt0NDgkiimOtf5KJduUUiqWRBeYG5BfG4o9t7miKXvS7j0fXNci/R9c9SRvm9BuO/rJnZx6mPioKaMDVlLXscZ+MqbIaFfGR/DbZV5XynOPV4gXnuc+FRHUv0Z93eFvjH1UhKzx4WPgSfEEQJ4Sr2EgoaUekkFbWnuObirlOrwHPj8aidwzb0e3LMWwS8tg19aBb/0LPil4+CXToJfOg1+aR380nnwy8jgl1kEvzJx84u+LPqS8M/GFrrtjPLS926d0KqiNYEFUbf2ts1O3QlZ9KM1OC5dvL0U0X+74YLyCmVuZHN0cmVhbQplbmRvYmoKCjQwIDAgb2JqCjw8L0xlbmd0aCA3MzkvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjabVVNb+IwFLznV3gPldoDxXZIAlWEZOdD4rBtVarVXiEx3UiQoBAO/ffr8SN42fYAGj+Pn2fswdz9eF1PVN1tzSR85OzNnLpzX5lJ9nNzDO7u8q46H0w7PBtTm3qcPT2x176r1mZg99kqX7XN8GDJq7ban2szsr4nafPRtJ6Cfdj9u/k9qQ694JPtudkPTTvh4L43w95yvptmtsZuaswt+WX6U9O1T0w8cs5toWjrrDvAwymYXnSw6ahs17R1fxHDtpAWCMnqphouI/ddHexhYPH68zSYw6rddUGasumbnTwN/adT+BBMX/ra9E37we5vlNmZ9fl43BuoYDxYLlltdrah9f68ORg2/c7glfL+eTRMurEgVVVXm9NxU5l+036YIOV8ydKyXAamrf+bS2jFdjdSE0vlc3yFKloGqQwtljEK3GJbwGSoqTC3hbC0OKKCxUEaC4sT5QoWB2mCySRDIy7QQ6GHWlx3sbpGBcl8VFT92fQX7TxcYBlHYyl5DCypDgU8JKyBZ4QL4Ih24MAxYdfnsrNbC51SSNeTTMQxPhhnfrzAOPfjDOPiH/7IKW9r4AnnQYQ4CwEP9iQTYElc6BPOA9czYOdBZo7jPMgcWgVdg8Ihi4TqCnhOax3HeeO549AdFPAinDcRwb8gX6Xjk6fMcQriSGDy4faVgm4b+qWka8yBE8LwHVJPBU5IPUNwQjojDT3RJQI4k4g4EThRQX6hISrJF3rGnPjQkORUBz8hfo4+Cel0d6k46cR5KuFzo6TPjQp9btTM50ZFPjcq9rlRic+NUj43irKioEddvDt+7vOkits8qfI2T5rf5kmLr3nS8muedOjzpGc+TzryedKxz5NOfJ703OdJL3yetPJ50trnSWc+Tzr3edKFz5MufZ4y7vOUCZ+nTPo8ZbPrnblfvvul423CO3p99apz39sH0T227qHDE9e05voeH7sjVrmPe8jHvw2MXsrgL/HzqFAKZW5kc3RyZWFtCmVuZG9iagoKNDEgMCBvYmoKPDwvTGVuZ3RoIDcwOS9GaWx0ZXIvRmxhdGVEZWNvZGU+PgpzdHJlYW0KeNptVE1vozAQvfMrvIdK7SGNbQIkFYpk8yHlsG3VVKu9JuB0kRJAhBz679czEzJV1QPoMX4zfvY85u7X63Zm6m7vZuGjFG/u3F2Gys2y37s+uLvLu+pycu347Fzt6mn1/CReh67aulHcZ5t80zbjgydv2up4qd3E+plk3UfTMgX2Effv7u+sOg3RbH9pjmPTziRQ35vx6Ck/rAofEl9DAhP+uOHcdO2TUI9SSh8o2jrrTnCAczC/ihDzSdahaevhqkTsQVegtKibarx+4bs6+ZuA5O3neXSnTXvogjQV8ze/eB6HT9T3EMxfhtoNTfsh7r8K8wvbS98fHYgQMlivRe0Ovp4/9/Pu5MT8h9PdGO+fvRMavxVpqrranftd5YZd++GCVMq1SMtyHbi2/rYWU8b+MFETT5VLeIUmWgepDj3WMQSkxz4Ai5GlwNIHYuVxYjDgcZAmsJhkkCcVpBhIMatbUS9j2jCJJgHVv91wlSrDFaRJKKy1jAFrisOGMiRsAS8IF4Aj2kECjgljnevOmAs6tdJY0yJegWaZEUZ+TodLABeIDXJKxNZfZKpQpwohrkCnvxzgK033ABpUSPwFYNSpM+SgTp2DHkU3a7BmQnEDeEm5yEH9MkcO3XMB+hU2QUWgWWUYL5FP+jPkFMTRgEk/7qsVnRH0a02tygEnhFceR9cWZoCpZgScqKCzQP2oJM3AjyXxoX6SUxz4CfFzqJOQBuyFkaQB7soo7rvR3HcTct/NgvtuIu67ibnvJuG+G8N9N2RYA3oM3RXxc/aDKdgPpmQ/WMl+sIr9YDX7wYbsB7tgP9iI/WBj9oNN2A92yX6wK/aDNewHa9kPNmM/2Jz9YAv2gy3ZD5lkP2SK/ZBp9kO2uPUF/078G2FcwGC7zaHqMgx+ROH0w9kDU6dp3W1A9l0PWfjgZJ2GOHy9lMF/cEqRfwplbmRzdHJlYW0KZW5kb2JqCgo0MiAwIG9iago8PC9MZW5ndGggNzQwL0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42m1VTW/iMBS851d4D5XaA8V2SAxVhGTnQ+Kw26pUq71CYrqRIIlCOPTfr997CS7bHkDj5/HzjD2Yux8v25mu2r2dhY+cvdpze+lLO0t/7rrg7i5ry8vJNsMvaytbTbPnJ/bSt+XWDuw+3WSbph4eHHnTlMdLZSfW9yRj3+vGU2Afdv9m/8zKU69m+0t9HOpmxoH6Vg9HR/lmlrkS+1xiuOC37c912zwx8cg5d4W8qdL2BAbOwXwUweaTrEPdVP2ohO1BVyAkq+pyGEf4XZ7cScDi7cd5sKdNc2iDJGHzVzd5HvoP1PcQzJ/7yvZ1887uPwtzE9tL1x0tiGA8WK9ZZQ+un/P9a3eybP6Nuyvj7aOzTOJYkKayrey525W23zXvNkg4X7OkKNaBbar/5hSt2B8mqnJUvoSvUEfrIJGhwzKGAnfYFWAyNFRYukJYOBxRweEgiYXDSmPB4SBRMKlSaMQF9NDQQ6+uuzhdkwK1nBSVf3f9qJ2HK1jGobGUPAYsqQ4KeEjYAF4QzgFHtAMHHBPGPuPOuBZ0SiGxJ5mIY/jAOPXjFYwzP05hnH/iT5zitgY8gR5ECGchwIM7SQVYEhf0CfTAzQIwepApctCDzECroGvQcMhCUV0DXtJa5KA3niGH7iAHLwK9iQj8C/JVIJ88pcjJiSMBkw/cVwq6bdAvJV1jBlgRBt8h9dTACalnCJyQzsiAnmiMAJxJRJwIOFFOfkFDVJAv6Blz4oMGlVEd+Ir4GfRRpBPvUnPSCeephc+Nlj43OvS50QufGx353OjY50YrnxutfW40ZUWDHj16R37m86Tz2zzp4jZPht/myYiveTLya55M6PNkFj5PJvJ5MrHPk1E+T2bp82RWPk9G+zwZ4/NkUp8nk/k8mdznyRQ+Tyn3eUqFz1MqfZ7SxfXO8JePv3R4m+AVvT565aXv3XuITy0+dPDE1Y29vsZd28Eq/OAzPv1jwOi5CP4BpEOnfgplbmRzdHJlYW0KZW5kb2JqCgo0MyAwIG9iago8PC9MZW5ndGggOTAwL0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42m1VTW/bOhC861ewhwDpwTU/JFIuDAOkZAM59ANN8PCujsTkCYhlQ7YP+fePs2ubbZFDjNVwuTs7HIZ3n34+zny/f44z80WKX/G4P09dnDXftofi7q7dd+ddHE/fY+xjf109fhU/p333GE/ivnloH8bh9DklP4zd27mP16yPk0J8Hcacgj7i/in+O+t2x3c3ez4Pb6dhnEnkPg2nt5Tz0bJImPgDE7Tlnzgdh/34VagvUsoErMe+2e8ww7GYX3iI+ZXZyzD204WMeAa1QmnRD93p8kW/3S6Jgc2P78dT3D2ML/tiuRTzX2nxeJreieHnYv5j6uM0jK/i/g9maeXxfDi8RbAQslitRB9fUsE0+/ftLor5RwPeUp7eD1Fo+lbMqtv38XjYdnHajq+xWEq5EsvNZlXEsf9rTTve8vxyza1TrmzSj9aLalUslU6xMgTUFkAJoCLAlgAsAAfA+w0ADyDwFg0A9VTLWzyANYANAQ6ApgaorNXCAKAGlgEHgOoRMdUiw6CG4RoePEqV4gq9pUxxsayQUXGGRg0LIaziLSBmMZyl3kaChwUFWzFQA4AedgHArQE4cHKOBUIXh0WHtlpqmQAPwPssocfknnnQLAENgs2aBtQLddY0oEbwWdOAGmGdNQ2o18isaYO5Gn3TNB329VRrdT3l7r/tdDGE1gp1pCLBAnhJTXFLMR+5orgkfEMxn3wDltLyXsggWRKFo5F01LJtERPnao0x5YZVIk8whxI5io/Eoo5iFUyDeME50F1L9gIU1opj1NGaY+zVzKEkA9VsFcpfcEz5nmPKb3kvuOk1xwvEfFYK3Az1lQZ7DfNM7k0xK00mMayVDIjJxFUgi1YcUx3SyhjK5xkluBmeUVI+m9djdsP3R8JAhm2vCGfOCvxL1sQgp+J8DStUfH81Zqn42tXgbPm8HHhaxzG4We7rUN9e6qCm5b5kYst9W4rXlF9RPmtVYhZ38RU4ONLKG5jXXbSCfxxrpcHBlXwn4CXHvqLL72rWgfIDewxn5IiPtZTTcoxzcWuO6TpuOAaf+jfPeEl1+Iaq7H+vs/+9yf73Zfa/r7L/vc3+9y7739fZ/0Fm/weV/R909n8w2f+hzP4PIfs/NNn/jcmzNOVtRrrldKvxzx0P0e3Z6M7TlF4Ueq3opcAbMYzx9qAd9gfsoj96Ca/vLr5+bIr/AVB96UwKZW5kc3RyZWFtCmVuZG9iagoKNDQgMCBvYmoKPDwvTGVuZ3RoIDg2Ni9GaWx0ZXIvRmxhdGVEZWNvZGU+PgpzdHJlYW0KeNp9VU1vozAQvfMrvIdK7SGNDeGriiIZCFIOu62aarXXFJwuUgMRSQ799+s3M7S7q6oH0PP4zfjNw9hX3x62M9sOz24W3Wr16E7DZWzcrPy+OwZXV9XQXA6uP/9wrnXtNHu6Uw/j0GzdWV2Xm2rTd+cbT970zeuldRPrc1LhXrr+g4J11PWT+zVzzXgwWutZc5idLkc3zs5mppHy1J1fPfULlvJT6rMpRQV+uvHUDf2dMrd+3gfWfVsOBzR2CuYiTs0nufuub0dRqJ6hNzCharvmLCN6NwfvEJK3b6ezO2z6/RAsl2r+6CdP5/GN9N4E8/uxdWPXv6jrzwR6wvZyPL46iFE6WK1U6/a+rvflx+7g1PyLrt+ZT29Hp0IaG9bYDK07HXeNG3f9iwuWWq/Usq5Xgevb/+ZMxCnP+4m79lxd+1eoo3wVLA2STUgBUyIQI5BwIPKB0AAjoLXHPpB5HNccyHwgASOlyjoBIwcjzxEwKRglVqm4hsfBsgKj4pQKjDU1oSmwBqNG0ZpTahStkVKXHEBKXSHANTxG+1Of+WLqu/m9G8UiLw6FtSFcLIDRuA7LBDgiXMEEvSCOxTI65ngFnDC2wCnnpsAZx4mfc24NbDkOp3XB6xKn5HgBXLHXqGkizkXcsIaCcEocTR+IfY3gieH6ETQYrp8keDAuP8b0pauPMdVZ/8WfOPW/MfBCeBcuQtoLrMOAm2jG6CeV3QCPMvLaeGs9NozhdRYyhrYsYoz62YLxGpi8NuRFljBG/SxlTJyM+4eGTLygdckLs4AvWcEYmrOSMTzKKsZUn/o3MfZEVjOGzpz1x1g3Z/0x+Dnrpz2Us/4YenLWn1Au60/Qe876U+Kz/oT4rDOF5px1pvjGOeuMKJd1RpTLOg39WOyzRS9WfEaPVnyOgcVn4ojPWMuKz9iXVnzGulZ8hp9WfCaO+IzerfgM/VZ8hk4rPqN3Kz7DNys+U33xGfqt+AydhfiMdQvxGfxCfAa/EJ+hpxCfKVd8Ru+F+Ex88Zn4GZ8MhOUsQi+F+I9eCvEf+7AQ/6km/yuWavJ/UlAd8R+citeK4UPF8TjCg6NJ5gjzXFXLCUUnEo5qXDLvd0FzGUd/TdBNROc+Tvyud++X1XE4IoseuuWmixaj+zr4A4k55xkKZW5kc3RyZWFtCmVuZG9iagoKNDUgMCBvYmoKPDwvVHlwZS9DYXRhbG9nL1BhZ2VzIDE1IDAgUj4+CmVuZG9iagoKNDYgMCBvYmoKPDwvUHJvZHVjZXIocGRmVGVYLTEuNDAuMjUgXChDcm9wcGVkIGJ5IHBkZkNyb3BNYXJnaW5zPj0yLjAuXCkpL0NyZWF0b3IoVGVYKS9DcmVhdGlvbkRhdGUoRDoyMDIzMTIwOTEzMTIzOSswMScwMCcpL01vZERhdGUoRDoyMDIzMTIwOTEzMTIzOSswMScwMCcpL1BURVguRnVsbGJhbm5lcihUaGlzIGlzIHBkZlRlWCwgVmVyc2lvbiAzLjE0MTU5MjY1My0yLjYtMS40MC4yNSBcKFRlWCBMaXZlIDIwMjNcKSBrcGF0aHNlYSB2ZXJzaW9uIDYuMy41KS9wZGZDcm9wTWFyZ2luc1Jlc3RvcmVEYXRhKFtbMC4wLCAwLjAsIDYxMi4wLCA3OTIuMF1dKT4+CmVuZG9iagoKeHJlZgowIDQ5CjAwMDAwMDAwMTQgMDAyNTYgZiAKMDAwMDAwMDAxNiAwMDAwMCBuIAowMDAwMDAwMDM3IDAwMDAwIG4gCjAwMDAwMDAwNTggMDAwMDAgbiAKMDAwMDAwMDEwNyAwMDAwMCBuIAowMDAwMDAwMjc3IDAwMDAwIG4gCjAwMDAwMDA0MTMgMDAwMDAgbiAKMDAwMDAwNDUzMiAwMDAwMCBuIAowMDAwMDA0Njk2IDAwMDAwIG4gCjAwMDAwMDQ4NDMgMDAwMDAgbiAKMDAwMDAwNDk4OSAwMDAwMCBuIAowMDAwMDA1MTM0IDAwMDAwIG4gCjAwMDAwMDUyNzkgMDAwMDAgbiAKMDAwMDAwNTQyMyAwMDAwMCBuIAowMDAwMDAwMDQ3IDAwMDAxIGYgCjAwMDAwMDU1NjcgMDAwMDAgbiAKMDAwMDAwNTYyMCAwMDAwMCBuIAowMDAwMDA1NjQ1IDAwMDAwIG4gCjAwMDAwMDU2NzAgMDAwMDAgbiAKMDAwMDAwNTcxOSAwMDAwMCBuIAowMDAwMDA1Nzg0IDAwMDAwIG4gCjAwMDAwMDYxMjggMDAwMDAgbiAKMDAwMDAwNjMzOSAwMDAwMCBuIAowMDAwMDA2NDAwIDAwMDAwIG4gCjAwMDAwMDY0MzEgMDAwMDAgbiAKMDAwMDAxNDE0MCAwMDAwMCBuIAowMDAwMDE0MzQ4IDAwMDAwIG4gCjAwMDAwMjI0NjkgMDAwMDAgbiAKMDAwMDAyMjY4NiAwMDAwMCBuIAowMDAwMDI5NjQ1IDAwMDAwIG4gCjAwMDAwMjk4NTAgMDAwMDAgbiAKMDAwMDAzNzQzMCAwMDAwMCBuIAowMDAwMDM3NjQ3IDAwMDAwIG4gCjAwMDAwNDQ5MDIgMDAwMDAgbiAKMDAwMDA0NTExMyAwMDAwMCBuIAowMDAwMDUyMDY4IDAwMDAwIG4gCjAwMDAwNTIyNzUgMDAwMDAgbiAKMDAwMDA2MzAyMiAwMDAwMCBuIAowMDAwMDYzMjM0IDAwMDAwIG4gCjAwMDAwNjQwMDAgMDAwMDAgbiAKMDAwMDA2NDc2NSAwMDAwMCBuIAowMDAwMDY1NTc0IDAwMDAwIG4gCjAwMDAwNjYzNTMgMDAwMDAgbiAKMDAwMDA2NzE2MyAwMDAwMCBuIAowMDAwMDY4MTMzIDAwMDAwIG4gCjAwMDAwNjkwNjkgMDAwMDAgbiAKMDAwMDA2OTExNyAwMDAwMCBuIAowMDAwMDAwMDQ4IDAwMDAxIGYgCjAwMDAwNjk0NDQgMDAwMDEgZiAKCnRyYWlsZXIKPDwvU2l6ZSA0OS9JbmZvIDQ2IDAgUi9Sb290IDQ1IDAgUi9JRFs8NTQwRjVFNTg0NzUzOTNBREE1NjhGRDk3M0UyODI0REQ+PDhDNzcxREI1QkMzMjEzNUVFN0IwMEFDRUVBQzlEN0I4Pl0+PgpzdGFydHhyZWYKNjk0NDQKJSVFT0YK" | https://arxiv.org/abs/2303.15817 | arxiv | 2023-05-31T02:17:45 | |
Illustration for the proof of Lemma \ref{lem:case1} case a-ii), where the blue dashed triangle is $I_t' = \text{convex hull}(a_t, {\hat a}_{t}, x_t^\star) \subseteq \chi_t$. | \documentclass[journal,onecolumn]{IEEEtran}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{color}
\usepackage{tikz}
\usepackage{amsmath}
\usetikzlibrary{calc}
\usepackage{amssymb}
\begin{document}
\begin{tikzpicture}[
mycirc/.style={circle,fill=black,minimum size=0.005cm,scale=0.4}
]
\draw[rotate around={-45:(7,2)},red,dashed] (7,2) ellipse (20pt and 40pt);
\node[mycirc,label=left:{$a_t$}] (s1) at ($(7,2)$) {};
\node[mycirc,label=above:{${\hat a}_t= \text{Proj}({\tilde a}_t, I_t)$}] (projs1) at ($(7.89,2)$) {};
\node[mycirc,label=right:{$ {\tilde a}_{t}=a_t - \nabla f_t(a_t) \frac{1}{2L_f} $}] (hats1) at ($(9,2)$) {};
\node[mycirc,label=left:{$x_t^{I_t \star}$}] (l) at (6,1) {};
\node[text width=3cm] at (7.8,1.25)
{$I_t$};
\node[text width=3cm, blue] at (8.9,1.25)
{$I_t'$};
\node[mycirc,label=right:{$x_t^\star$}] (z3) at ($(7.57,-.5)$) {};
\draw [dashed,blue] (s1) -- (z3);
\draw [dashed, blue] (z3) -- (7.89,2);
\draw [dashed, blue] (projs1) -- (s1);
\draw [->, dashed, blue] (hats1) -- (projs1) ;
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2301.09808 | arxiv | 2023-01-25T02:06:51 | |
$V(\mathcal{F})$ and $V(\mathcal{G})$ in a neighborhood of $L\in \mathcal{LS}_2(\mathcal{F}, \mathcal{G})$. | \documentclass{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{decorations,decorations.pathmorphing}
\usetikzlibrary{patterns}
\begin{document}
\begin{tikzpicture}
\coordinate [label=left:$P_-$] (A1) at (0.4,0.4);
\coordinate [label=left:$P_+$] (A2) at (0.4,1.6);
\coordinate [label=right:$P_-$] (A3) at (1.6,0.4);
\coordinate [label=right:$P_+$] (A4) at (1.6,1.6);
\coordinate [label=left:$P_-$] (A5) at (3.4,0.4);
\coordinate [label=left:$P_+$] (A6) at (3.4,1.6);
\coordinate [label=right:$P_-$] (A7) at (4.6,0.4);
\coordinate [label=right:$P_+$] (A8) at (4.6,1.6);
\coordinate [label=left:$P_-$] (A9) at (6.4,0.4);
\coordinate [label=left:$P_+$] (A10) at (6.4,1.6);
\coordinate [label=right:$P_-$] (A11) at (7.6,0.4);
\coordinate [label=right:$P_+$] (A12) at (7.6,1.6);
\coordinate [label=left:$P_-$] (A13) at (9.4,0.4);
\coordinate [label=left:$P_+$] (A14) at (9.4,1.6);
\coordinate [label=right:$P_-$] (A15) at (10.6,0.4);
\coordinate [label=right:$P_+$] (A16) at (10.6,1.6);
\draw (0,0)--(A1)--(0.8,0);
\draw (0,2)--(A2)--(0.8,2);
\draw (A1)--(A2);
\draw (1.6,0)--(1.6,2);
\draw[dotted] (0,0)--(0.8,0)--(0.8,2)--(0,2)--cycle;
\draw[dotted] (1.2,0)--(2,0)--(2,2)--(1.2,2)--cycle;
\draw (4.2,0)--(A7)--(5,0);
\draw (4.2,2)--(A8)--(5,2);
\draw (A7)--(A8);
\draw (3.4,0)--(3.4,2);
\draw[dotted] (3,0)--(3.8,0)--(3.8,2)--(3,2)--cycle;
\draw[dotted] (4.2,0)--(5,0)--(5,2)--(4.2,2)--cycle;
\draw (7.2,0)--(A11)--(8,0);
\draw (6,2)--(A10)--(6.8,2);
\draw (A10)--(6.4,0);
\draw (A11)--(7.6,2);
\draw[dotted] (6,0)--(6.8,0)--(6.8,2)--(6,2)--cycle;
\draw[dotted] (7.2,0)--(8,0)--(8,2)--(7.2,2)--cycle;
\draw (9,0)--(A13)--(9.8,0);
\draw (10.2,2)--(A16)--(11,2);
\draw (A16)--(10.6,0);
\draw (A13)--(9.4,2);
\draw[dotted] (9,0)--(9.8,0)--(9.8,2)--(9,2)--cycle;
\draw[dotted] (10.2,0)--(11,0)--(11,2)--(10.2,2)--cycle;
\foreach \t in {1,...,16} \fill[black] (A\t) circle (0.045);
\coordinate [label=below:(a)] (a) at (1,-0.1);
\coordinate [label=below:(b)] (b) at (4,-0.1);
\coordinate [label=below:(c)] (c) at (7,-0.1);
\coordinate [label=below:(d)] (d) at (10,-0.1);
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2210.09696 | arxiv | 2022-10-19T02:11:34 | |
The bipartite Cayley graph, $BC(g)$, of the function $g(z) = (-1)^{z_1 + z_2}$ for $z_1,z_2\in \mathbb{F}_2$. $g$ encodes the XOR function on $2$ bits. | \documentclass{article}
\usepackage{amsmath,amsfonts,amsthm,amssymb,commath,mathtools}
\usepackage{tikz}
\usetikzlibrary{calc,angles,quotes,shapes.misc}
\tikzset{cross/.style={cross out, draw,
minimum size=2*(#1-\pgflinewidth),
inner sep=0pt, outer sep=0pt}}
\begin{document}
\begin{tikzpicture}
%left verts
\coordinate (00L) at (-1,-1);
\coordinate (01L) at (-1,0);
\coordinate (10L) at (-1,1);
\coordinate (11L) at (-1,2);
%right verts
\coordinate (00R) at (1,-1);
\coordinate (01R) at (1,0);
\coordinate (10R) at (1,1);
\coordinate (11R) at (1,2);
%edges
\draw[thick] (00L) -- (10R);
\draw[thick] (00L) -- (01R);
\draw[thick] (10L) -- (00R);
\draw[thick] (10L) -- (11R);
\draw[thick] (01L) -- (00R);
\draw[thick] (01L) -- (11R);
\draw[thick] (11L) -- (01R);
\draw[thick] (11L) -- (10R);
\node[circle,fill=cyan] at (00L) {$00$};
\node[circle,fill=cyan] at (01L) {$01$};
\node[circle,fill=cyan] at (10L) {$10$};
\node[circle,fill=cyan] at (11L) {$11$};
\node[circle,fill=purple] at (00R) {$00$};
\node[circle,fill=purple] at (10R) {$10$};
\node[circle,fill=purple] at (01R) {$01$};
\node[circle,fill=purple] at (11R) {$11$};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2209.03573 | arxiv | 2022-09-09T02:07:19 | |
Typical common tangent connection for the free energy densities for the interior $f^{\rm in}(\psi)$ (left) and exterior $f^{\rm out}(\psi)$ (right) \eqref{f_inout} phases. The vesicle will grow or shrink according to the initial (spatially uniform) states for $\psi$ inside and outside the vesicle. Suppose that $\psi^{\rm in}_{\star}$ and $\psi^{\rm out}_{\star}$ are the values of $\psi$ where the common tangent touches the respective free energy densities $f^{\rm in}(\psi)$ (left) and $f^{\rm out}(\psi)$ (right). | \documentclass[10pt]{article}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usetikzlibrary{patterns}
\begin{document}
\begin{tikzpicture}[>=latex,scale=2.5]
\draw[thick,->] (-0.5,0.0) -- (4.5,0.0) node[right] {$\psi$};
\draw[thick,->] (0,-0.5) -- (0,3.0) node[above] {};
\draw [thick,black,domain=0.1:1.9] plot (\x,{2.0*(\x-1.0)^2+1.0}) node[above] {$_{f^{\rm in}(\psi)}$};
\draw [thick,black,domain=2.1:3.9] plot (\x,{2.0*(\x-3.0)^2+0.5}) node[above] {$_{f^{\rm out}(\psi)}$};
\draw [thick,black,domain=0.1:3.9] plot (\x,{-0.25*\x+1/128+1+0.25*(1-1/16)}) node[above] { };
\draw[black,fill=black] (1.0-1/16,0.0) node[below left] {$\psi^{\rm in}_\star$} circle (1pt);
\draw[black,fill=black] (3.0-1/16,0.0) node[below left] {$\psi^{\rm out}_\star$} circle (1pt);
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2209.13690 | arxiv | 2022-09-29T02:03:13 | |
An example of a human contact multiplex network plus two different resources. The subgraph of virus $k$ in the human contact multiplex network together with resorces forms the graph $\mathcal{G(B^{\text{k}}_{\text{f}})}$, which is assumed to be strongly connected. The way that resources interact with different layers of the human contact network may also vary. We use different colours to highlight different types of diffusion due to different kinds of viruses. | \documentclass{article}
\usepackage{tikz}
\usepackage{tikz-network}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows,decorations.pathmorphing}
\usetikzlibrary{arrows}
\usepackage{xcolor}
\usepackage{inputenc}
\usepackage[T1]{fontenc}
\begin{document}
\begin{tikzpicture}
\node at (0,0){
\includegraphics[scale=1]{example-image}
};
\node at (2.2,1.8){\small{ventilation system}};
\node at (0.2,-1.9){\small {water}};
\node[blue!70!green] at (-2,1.4){\small {human-contact network}};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2206.07425 | arxiv | 2022-11-15T02:24:37 | |
Remote event-based state estimation with a closed-loop trigger. The event trigger depends on information from the observer, which must be transferred back from the observer to the sensor. | \documentclass[journal]{IEEEtran}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{pgfplots}
\usepackage{pgfplotstable}
\usepgfplotslibrary{groupplots}
\usepgfplotslibrary{fillbetween}
\pgfplotsset{
compat=1.8,
scale only axis,
every tick label/.append style={font=\footnotesize},
every axis/.append style={
xlabel shift=0.5em,
ylabel shift=0.5em
}
}
\begin{document}
\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-0.8,xscale=0.8]
\draw (270,117) -- (283.5,99) ;
\draw [shift={(283.5,99)}, rotate = 306.87] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (0, 0) circle [x radius= 3.35, y radius= 3.35] ;
\draw (221.5,118) -- (270,117) ;
\draw [shift={(270,117)}, rotate = 358.82] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][fill={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (0, 0) circle [x radius= 3.35, y radius= 3.35] ;
\draw [dash pattern={on 0.84pt off 2.51pt}] (295.85,117) -- (411.5,117) ;
\draw [shift={(413.5,117)}, rotate = 180] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ;
\draw [shift={(293.5,117)}, rotate = 0] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (0, 0) circle [x radius= 3.35, y radius= 3.35] ;
\draw (258,99.8) .. controls (258,94.39) and (262.39,90) .. (267.8,90) -- (297.2,90) .. controls (302.61,90) and (307,94.39) .. (307,99.8) -- (307,132.2) .. controls (307,137.61) and (302.61,142) .. (297.2,142) -- (267.8,142) .. controls (262.39,142) and (258,137.61) .. (258,132.2) -- cycle ;
\draw (449,138) -- (449,177) -- (284,176) -- (284,144) ;
\draw [shift={(284,142)}, rotate = 450] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ;
\draw [fill={rgb, 255:red, 109; green, 165; blue, 233 } ,fill opacity=0.8 ] (152,105) .. controls (152,100.58) and (155.58,97) .. (160,97) -- (214,97) .. controls (218.42,97) and (222,100.58) .. (222,105) -- (222,129) .. controls (222,133.42) and (218.42,137) .. (214,137) -- (160,137) .. controls (155.58,137) and (152,133.42) .. (152,129) -- cycle ;
\draw [fill={rgb, 255:red, 236; green, 184; blue, 95 } ,fill opacity=0.8 ] (414,105) .. controls (414,100.58) and (417.58,97) .. (422,97) -- (476,97) .. controls (480.42,97) and (484,100.58) .. (484,105) -- (484,129) .. controls (484,133.42) and (480.42,137) .. (476,137) -- (422,137) .. controls (417.58,137) and (414,133.42) .. (414,129) -- cycle ;
% Text Node
\draw (282,128) node [scale=0.8] [align=left] {\textbf{{\small Trigger}}};
% Text Node
\draw (360,101) node [scale=0.8] {$y_{k}$};
% Text Node
\draw (359,160) node [scale=0.8] {$H_k$};
% Text Node
\draw (187,117) node [scale=0.8] [align=left] {\textbf{Sensor}};
% Text Node
\draw (449,117) node [scale=0.8] [align=left] {\textbf{Observer}};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2209.14081 | arxiv | 2022-09-29T02:15:52 | |
On the left $|\tilde\mathfrak{p}|=|\mathfrak{p}|+1$, on the right $|\tilde\mathfrak{p}|=|\mathfrak{p}|$. | \documentclass[reqno,12pt]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[T1]{fontenc}
\usepackage[dvipsnames,svgnames]{xcolor}
\usepackage{tikz}
\usetikzlibrary{calc,patterns}
\newcommand{\x}{\boldsymbol{x}}
\begin{document}
\begin{tikzpicture}
\draw(1,2)--(3,3)--(3,2);
\draw(3,3)--(5,2);
\draw(0.5,1)--(1,2)--(1.5,1);
\draw(2.5,1)--(3,2)--(3.5,1);
\draw(4.5,1)--(5,2)--(5.5,1);
\foreach \x in {0.5, 1.5, 2.5, 3.5, 4.5, 5.5}{
\draw(\x-0.25,0)--(\x,1)--(\x+0.25,0);
};
\draw (0.5,1)--(0.75,0);
\node[left] at (0.25,0){$Y_{\rho}$};
\node[above] at (3,3){$X_{\rho}$};
\draw[thick, red] (0.25,0)--(0.5,1) -- (1,2) -- (3,3);
\draw[thick, blue] (2.25,0)--(2.5,1) -- (3,2) -- (3,3);
\draw[thick, blue, out=-20, in=-160] (0.25,0) to (2.25,0);
\begin{scope}[shift={(7,0)}]
\draw(1,2)--(3,3)--(3,2);
\draw(3,3)--(5,2);
\draw(0.5,1)--(1,2)--(1.5,1);
\draw(2.5,1)--(3,2)--(3.5,1);
\draw(4.5,1)--(5,2)--(5.5,1);
\foreach \x in {0.5, 1.5, 3.5, 4.5, 5.5}{
\draw(\x-0.25,0)--(\x,1)--(\x+0.25,0);
};
\draw(2.5,1)--(2.75,0);
\draw (0.5,1)--(0.75,0);
\draw[thick, red] (0.25,0)--(0.5,1) -- (1,2) -- (3,3);
\draw[thick, blue] (2.5,1) -- (3,2) -- (3,3);
\draw[thick, blue, out=-45, in=-80] (0.25,0) to (2.5,1);
\node[left] at (0.25,0){$Y_{\rho}$};
\node[above] at (3,3){$X_{\rho}$};
\end{scope}
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2209.01037 | arxiv | 2022-09-05T02:16:35 | |
The elbows of $\pi^{(1)}, \pi^{(2)}$, and $\pi^{(3)}$. | \documentclass[12pt]{article}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[utf8]{inputenc}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}
\begin{scope}[scale=0.7, xshift = -10cm]
\draw (0,0) grid (8,8);
\draw[ultra thick, color=blue] (0,0) -- (0,1);
\draw[ultra thick, color=blue] (1,2) -- (2,2) -- (2,6) -- (5,6) -- (5,8) -- (8,8);
\draw[ultra thick, color=blue, dashed ] (0,1) -- (0,2)--(1,2);
\draw[thick, dotted ] (0,0) -- (8,8);
\draw[thick, dotted ] (0,1) -- (7,8);
\end{scope}
\begin{scope}[scale=0.7, xshift = 0cm]
\draw (0,0) grid (8,8);
\draw[ultra thick, color=blue] (0,0) -- (0,1) -- (0,2) -- (2,2) -- (2,4);
\draw[ultra thick, color=blue, dashed] (2,4) -- (2,6) -- (4,6) ;
\draw[ultra thick, color=blue] (4,6) -- (5,6) -- (5,7) ;
\draw[ultra thick, color=blue, dashed] (5,7) -- (5,8) -- (6,8);
\draw[ultra thick, color=blue] (6,8) -- (8,8);
\draw[thick, dotted ] (0,0) -- (8,8);
\draw[thick, dotted ] (0,2) -- (6,8);
\end{scope}
\begin{scope}[scale=0.7, xshift = 10cm]
\draw (0,0) grid (8,8);
\draw[ultra thick, color=blue] (0,0) -- (0,2) -- (2,2) --(2,5);
\draw[ultra thick, color=blue, dashed] (2,5) -- (2,6) -- (3,6);
\draw[ultra thick, color=blue] (3,6) -- (5,6) -- (5,8) -- (8,8);
\draw[fill, color=blue] (5,8) circle (.2cm);
\draw[thick, dotted ] (0,0) -- (8,8);
\draw[thick, dotted ] (0,3) -- (5,8);
\end{scope}
\end{tikzpicture}
\end{document} | "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" | https://arxiv.org/abs/2212.01234 | arxiv | 2022-12-05T02:14:12 | |
Support Hasse diagram for Figure \ref{Fig: strand diagram for Fig 1}. Left children (those which come before their parents in the exceptional sequence) are red. These are relatively projective but not relatively injective. The rest: the roots, $R,C,Cc$, and the right children (which come after their parents), are relatively injective and colored blue. | \documentclass[12pt]{article}
\usepackage{amssymb}
\usepackage{amsmath,bm}
\usepackage{color}
\usepackage{xcolor}
\usepackage{tikz}
\usepackage[utf8]{inputenc}
\usepackage{mathtools, amsthm, amssymb, eucal}
\begin{document}
\begin{tikzpicture}%
\clip (0,-2.4) rectangle (12,2.4);
\coordinate (R) at (3.5,2);
\coordinate (C) at (9.5,2);
\coordinate (Cc) at (11.5,1.4);
%
\coordinate (Bc) at (.5,0);
\coordinate (B) at (2,0);
\coordinate (A) at (5,0);
\coordinate (Ac) at (6.5,0);
\coordinate (Cbc) at (8,0.5);
\coordinate (Cb) at (9,0.5);
%
\coordinate (Ba) at (1.5,-1);
\coordinate (Bb) at (2.7,-1);
\coordinate (Ab) at (4.3,-1);
\coordinate (Aa) at (5.5,-1);
%
\coordinate (Bbb) at (2.2,-2);
\coordinate (Abb) at (4.8,-2);
%
\draw[thick] (Bc)--(R)--(B)--(Ba) (B)--(Bb)--(Bbb)
;
\draw[thick] (Ac)--(R)--(A)--(Aa) (A)--(Ab)--(Abb)
;
\draw[thick] (Cbc)--(C)--(Cb)
;
\foreach \x in {A,Ac,R,C,Cc,Bb,Aa,Abb,Bc,B,Cbc,Cb,Ba,Ab,Bbb}
\draw[fill,white] (\x) ellipse[x radius=4mm,y radius=3mm];
\foreach \x in {A,Ac,R,C,Cc,Bb,Aa,Abb}
\draw[blue,thick] (\x) ellipse[x radius=4mm,y radius=3mm] node{$\x$};
\foreach \x in {Bc,B,Cbc,Cb,Ba,Ab,Bbb}
\draw[red,thick] (\x) ellipse[x radius=4mm,y radius=3mm] node{$\x$};
%
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2209.12326 | arxiv | 2022-09-27T02:21:14 | |
Schematics of Markov chain corresponding to the global state $\boldsymbol{s}_{t}$. In this figure we have $P_{\boldsymbol{t},\boldsymbol{t+1}}=\Pr\big(\boldsymbol{s}_{t+1}|\boldsymbol{s}_{t},\boldsymbol{\alpha}_{t}\big)$. | \documentclass[Journal]{IEEEtran}
\usepackage{graphicx, tikz, cite}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{graphicx, psfrag, minibox, mathrsfs, bigints, stfloats, color, upgreek, gensymb, textcomp, euscript, calligra, xcolor, pict2e}
\usepackage{tikz}
\usetikzlibrary{shapes,arrows}
\usetikzlibrary{automata,chains}
\begin{document}
\begin{tikzpicture}[start chain=going left,node distance=1.3cm]
\scriptsize
\node[state, on chain] (K) {$\boldsymbol{s}_{T}$};
\node[state, on chain] (K-1) {$\boldsymbol{s}_{T\!-\!1}$};
\node[on chain] (g) {$\cdots$};
\node[state, on chain] (1) {$\boldsymbol{s}_{1}$};
\node[state, on chain] (0) {$\boldsymbol{s}_{0}$};
\draw[
>=latex,
every node/.style={above,midway},% either
auto=right, % or
loop above/.style={out=75,in=105,loop},
every loop,
]
(0) edge[loop above] node {$P_{\boldsymbol{0},\boldsymbol{0}}$} (0)
edge node { } (1)
(1) edge[loop above] node {$P_{\boldsymbol{1},\boldsymbol{1}}$} (1)
edge node {$P_{\boldsymbol{2},\boldsymbol{1}}$} (g)
(g) edge[] node {$P_{\boldsymbol{T\!-\!1},\boldsymbol{T\!-\!2}}$} (K-1)
(K-1) edge[loop above] node {$P_{\boldsymbol{T\!-\!1},\boldsymbol{T\!-\!1}}$} (K-1)
edge node {$P_{\boldsymbol{T},\boldsymbol{T\!-\!1}}$} (K)
(K-1) edge[bend left] node[below] {$P_{\boldsymbol{T\!-\!1},\boldsymbol{0}}$} (0)
(K) edge[loop above] node {$P_{\boldsymbol{T},\boldsymbol{T}}$} (K-1)
(K) edge[bend left] node[below] {$P_{\boldsymbol{1},\boldsymbol{T}}$} (1);
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2210.04953 | arxiv | 2022-10-12T02:01:25 | |
Confluence scheme for Painlev\'e equations. Each triangle at this diagram corresponds to the Takiff algebra Darboux coordinates which were introduced in Fig. \ref{fig1:PQ}. | \documentclass[a4paper,reqno]{amsart}
\usepackage[dvipsnames]{xcolor}
\usepackage{amsfonts,amssymb}
\usepackage{amsmath}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix}
\usetikzlibrary{cd}
\begin{document}
\begin{tikzpicture}
%PVI
\draw[line width=0.3mm]
(-13.5,0) circle (1mm)
(-13,0) circle (1mm)
(-12.5,0) circle (1mm)
(-12,0) circle (1mm);
\node[] at (-13.5,0.4) {$0$};
\node[] at (-13,0.4) {$1$};
\node[] at (-12.5,0.4) {$t$};
\node[] at (-12,0.4) {$\infty$};
\draw[line width=0.5mm, dashed, red, ->](-11.8,0)--(-10.7,0);
\draw[line width=0.3mm,rounded corners=2mm,fill=gray!20, opacity=5] (-9.8,0.15)--(-9.25,-0.85)--(-8.7,0.15)--cycle;
%PV
\draw[line width=0.3mm] (-10.5,0) circle (1mm)
(-10,0) circle (1mm)
(-9.5,0) circle (1mm)
(-9,0) circle (1mm)
(-9.25,-0.5) circle (1mm);
\node[] at (-10.5 ,0.4) {$0$};
\node[] at (-10,0.4) {$t$};
\node[] at (-9.25,0.4) {$\infty$};
%PIII D6
\draw[line width=0.5mm, dashed, red, ->](-8.5,0.5)--(-7.3,2.0);
\draw[line width=0.5mm, dashed, red, ->](-8.5,-0.5)--(-7.3,-2.0);
\draw[line width=0.3mm,rounded corners=2mm,fill=gray!20, opacity=5] (-7.5,2.65)--(-6.95,1.65)--(-6.4,2.65)--cycle
[rounded corners=2mm,fill=gray!20, opacity=5] (-6.5,2.65)--(-5.95,1.65)--(-5.4,2.65)--cycle;
\draw[line width=0.3mm] (-7.2,2.5) circle (1mm)
(-6.7,2.5) circle (1mm)
(-6.2,2.5) circle (1mm)
(-5.7,2.5) circle (1mm)
(-5.95,2) circle (1mm)
(-6.95,2) circle (1mm);
\node[] at (-6.95 ,2.9) {$0$};
\node[] at (-5.95, 2.9) {$\infty$};
\draw[line width=0.5mm, dashed, red, ->](-5.5,2.0)--(-4.3,0.5);
\draw[line width=0.5mm, dashed, red, ->](-5.5,-2.0)--(-4.3,-0.5);
%PII-JM
\draw[line width=0.3mm,rounded corners=2mm,fill=gray!20, opacity=5] (-4.1,0.65)--(-3.05,-1.35)--(-2.0,0.65)--cycle;
\draw[line width=0.3mm] (-3.8,0.5) circle (1mm)
(-3.3,0.5) circle (1mm)
(-2.8,0.5) circle (1mm)
(-2.3,0.5) circle (1mm)
(-3.55,-0) circle (1mm)
(-3.05,-0) circle (1mm)
(-2.55,-0) circle (1mm)
(-3.3,-0.5) circle (1mm)
(-2.8,-0.5) circle (1mm)
(-3.05,-1) circle (1mm);
\node[] at (-3.05, 0.9) {$\infty$};
\draw[line width=0.3mm,rounded corners=2mm,fill=gray!20, opacity=5] (-7,-2.35)--(-6.2,-3.85)--(-5.4,-2.35)--cycle;
\draw[line width=0.3mm] (-7.2,-2.5) circle (1mm)
(-6.7,-2.5) circle (1mm)
(-6.2,-2.5) circle (1mm)
(-5.7,-2.5) circle (1mm)
(-5.95,-3) circle (1mm)
(-6.45,-3) circle (1mm)
(-6.2,-3.5) circle (1mm);
\node[] at (-7.2 ,-2.1) {$t$};
\node[] at (-6.2,-2.1) {$\infty$};
draw[line width=0.5mm, dashed, green, ->](-5.3,-2.5)--(-4.3,-2.5);
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2106.13760 | arxiv | 2022-12-13T02:23:51 | |
The limiting Floer cylinder is asymptotic to the Hamiltonian orbit $\gamma$ at its left end. The right end traces out a loop in $M$ which passes through $\iota(0)$. | \documentclass[12pt]{amsart}
\usepackage{amsmath}
\usepackage{tikz,float,caption}
\begin{document}
\begin{tikzpicture}
\draw (0,0) circle (2);
\draw[dashed] (2,0) arc (0:180:2 and 0.5);
\draw (-2,0) arc (180:360:2 and 0.5);
\draw[blue] (0.6,0) circle (0.6 and 0.3) (0.8,2.3) circle (0.6 and 0.3);
\draw[blue] (1.2,0) to[out=90,in=-90] (1.4,2.3) node[right,color=black] {$\gamma$} (0,0)node[draw=black,circle,inner sep=1pt,fill=black](A){} to[out=90,in=-90] (0.2,2.3);
\node at (A) [left] {$\iota(0)$};
\node[blue] at (0.7,1) {$u$};
\node at (0,-1.2) {$\iota(B(a))$};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2305.11783 | arxiv | 2023-05-22T02:18:02 | |
The complete A.i.A.Co.\framework. In 1, a document containing the defence deeds is preprocessed, producing a text (2) that is then passed to a NLP model (3). In 4, the NLP model outputs the relevant features, that are then passed (5) to the predictive model, that outputs (6) the decision that is then proposed to the Judge. Weights learnt during the training of the predictive model are passed (7) to SHAP to produce explanations helping the Judge in using the proposed decision. | \documentclass[a4paper]{article}
\usepackage{amsfonts,amssymb,amsmath}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix,shapes,arrows,fit,positioning,calc,backgrounds}
\begin{document}
\begin{tikzpicture}
\node {\includegraphics[scale=0.3]{example-image}};
\draw [fill=gray, opacity=0.3, rounded corners] (-7.5,0.2) rectangle (0.4,4);
\node at (-5.9,1.7) {1};
\node at (-3.8,1.7) {2};
\node at (-2,1.7) {3};
\node at (-0.1,1.7) {4};
\node at (2.7,1.7) {5};
\node at (5.5,1.7) {6};
\node at (2.8,0.4) {7};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2210.09515 | arxiv | 2022-10-19T02:06:04 | |
This picture shows a side by side comparison between the PODI and PA-POD. In PODI we interpolate accurate but scarce data, while with PA-POD we evaluate dense real time approximated data. | \documentclass[a4paper]{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage{xcolor}
\tikzset{every picture/.style={line width=0.75pt}}
\begin{document}
\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1]
% Text Node
\draw (300,50) node [anchor=north ][inner sep=0.75pt] [align=center] {
\large{\textbf{Physics-Aware POD}}};
\draw [draw opacity=0][fill={rgb, 255:red, 255; green, 127; blue, 14 } ,fill opacity=.3 ] (180,74) -- (420,74) -- (420,132) -- (180,132) -- cycle ;
% Text Node
\draw (300,80) node [anchor=north ][inner sep=0.75pt] [align=center] {
\textbf{Define}\\
Real-Time Approximated Forward Model,\\
as the operator $\mathcal{R}(\theta)$.};
\draw [draw opacity=0][fill={rgb, 255:red, 188; green, 189; blue, 34 } ,fill opacity=.3 ] (200,138) -- (400,138) -- (400,205) -- (200,205) -- cycle ;
% Text Node
\draw (300,150) node [anchor=north ][inner sep=0.75pt] [align=center] {
\textbf{Evaluate} the real time model\\ for all the parameters:\\
$\mathbf{R}_{N\times 360} = \mathcal{R}([ 0^{\circ } ,\dotsc ,\ 359^{\circ }])$};
% =======================================
% PODI
% =======================================
% Text Node
\draw (50,50) node [anchor=north][inner sep=0.75pt] [align=center] {\large{\textbf{POD with Interpolation}}};
\draw [draw opacity=0][fill={rgb, 255:red, 45; green, 160; blue, 44} ,fill opacity=.3 ] (-50,80) -- (150,80) -- (150,158) -- (-50,158) -- cycle ;
% Text Node
\draw (50,90) node [anchor=north][inner sep=0.75pt] [align=center] {
\textbf{Project} the database matrix\\
in the POD space,\\
$\mathbf{C}_{k\times N_s} = \mathbf{U^*}_{k\times N}\, \mathbf{S}_{N\times N_s},$\\
to construct $N_s$ pairs $\{\mathbf{c}_i,\theta_i\}_{N_s}$.
};
\draw [draw opacity=0][fill={rgb, 255:red, 255; green, 127; blue, 14 } ,fill opacity=.3 ] (-33,174) -- (133,174) -- (133,198) -- (-33,198) -- cycle ;
% Text Node
\draw (50,180) node [anchor=north][inner sep=0.75pt] [align=center] {\textbf{Define} an interpolator: $\mathcal{I}$};
\draw [draw opacity=0][fill={rgb, 255:red, 188; green, 189; blue, 34 } ,fill opacity=.3 ] (-50,212) -- (150,212) -- (150,292) -- (-50,292) -- cycle ;
% Text Node
\draw (50,220) node [anchor=north][inner sep=0.75pt] [align=center] {
\textbf{Evaluate}, via the interpolator,\\
the coefficients for all\\ the parameters:\\
$\tilde{\mathbf{C}}_{k\times 360} =\mathcal{I}\left(\mathbf{C}_{k\times N_s}\right)$};
\draw [draw opacity=0][fill={rgb, 255:red, 45; green, 160; blue, 44} ,fill opacity=.3 ] (200,212) -- (400,212) -- (400,292) -- (200,292) -- cycle ;
% Text Node
\draw (300,220) node [anchor=north][inner sep=0.75pt] [align=center]{
\textbf{Project} the Real-Time Model\\ into the POD space\\
to obtain the coefficients matrix:\\
$\tilde{\mathbf{C}}_{k\times 360} =\mathbf{U^{*}{}}_{k\times N}\mathbf{R}_{N\times 360}$};
% =======
% =======
\draw [draw opacity=0][fill={rgb, 255:red, 32; green, 119; blue, 180 } ,fill opacity=.3 ] (50,312) -- (300,312) -- (300,375) -- (50,375) -- cycle ;
% Text Node
\draw (175,320) node [anchor=north][inner sep=0.75pt] [align=center] {
The approximation is a combination\\
of coefficients and basis functions\\
$\tilde{\mathbf{S}}_{N\times 360} =\mathbf{U}_{N\times k}\tilde{\mathbf{C}}_{k\times 360}$};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2303.04675 | arxiv | 2023-03-09T02:16:17 | |
The regions of the plane %intervals $(T_n,T_{n+1})\times[0,q^{<}(U_{T_n}^{\beta,u})]$ and $(T_n,T_{n+1})\times[\lambda,\lambda+q^{>}(U_{T_n}^{\beta,u})]$, for $n=0,1,2,\ldots$. | \documentclass[a4paper]{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{arrows.meta}
\tikzset{
circ/.style={draw, circle,inner sep=0pt,minimum size=8mm, font=\scriptsize},
triangle/.tip={Computer Modern Rightarrow[open,angle=120:3pt]}
}
\begin{document}
\begin{tikzpicture}
\fill[yellow!80!white] (0,2) rectangle (6,3);
\fill[orange!80!white] (0,0) rectangle (6,2);
\fill[blue!40!white] (0,3) rectangle (6,4);
\draw[thick,dashed] (0,3) node[anchor=east] {$\lambda$} -- (6.5,3);
\draw[thick,dashed] (0,4) node[anchor=east] {$\lambda+q^>(u)$} -- (6.5,4);
\draw[thick,dashed] (0,2) node[anchor=east] {$q^<(u)$} -- (6.5,2);
%%%%%%%%%%%%%%%%%%%%%%%%%
\fill[yellow!80!white] (6,1.5) rectangle (9,3);
\fill[orange!80!white] (6,0) rectangle (9,1.5);
\fill[blue!40!white] (6,3) rectangle (9,5);
\draw[thick,dashed] (6,3) node[anchor=east] {} -- (9,3);
\draw[thick,dashed] (6,5) node[anchor=east] {$\lambda+q^>(U_{T_1}^{\beta,u})$} -- (9,5);
\draw[thick,dashed] (6,1.5) node[anchor=east] {$q^<(U_{T_1}^{\beta,u})$} -- (9,1.5);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\fill[yellow!80!white] (9,1.75) rectangle (10,3);
\fill[orange!80!white] (9,0) rectangle (10,1.75);
\fill[blue!40!white] (9,3) rectangle (10,4.2);
\draw[thick,dashed] (9,3) node[anchor=east] {} -- (10,3);
\draw[thick,dashed] (9,4.2) node[anchor=east] {$\lambda+q^>(U_{T_2}^{\beta,u})$} -- (10,4.2);
\draw[thick,dashed] (9,1.75) node[anchor=east] {$q^<(U_{T_2}^{\beta,u})$} -- (10,1.75);
\iffalse
\fill[red!80!white] (0,0) rectangle (10,0.3);
\draw[thick,dashed] (0,0.3) node[anchor=east] {$2$} -- (10,0.3);
\fi
%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\draw[thick,->] (0,0) -- (11,0) node[anchor=north west] {};
\draw[thick,->] (0,0) -- (0,6) node[anchor=south east] {};
\draw[thick,dashed] (6,0) node[anchor=north] {$T_1$} -- (6,5.5);
\draw[thick,dashed] (9,0) node[anchor=north] {$T_2$} -- (9,5.5);
\draw (10,-0.11) node[anchor=north] {$\ldots$};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2202.12871 | arxiv | 2022-11-01T01:10:02 | |
$v_5v_7v_9v_6v_8v_{10}v_5$ is a copy of $C_6$. | \documentclass[11pt,a4paper]{article}
\usepackage{epsf,epsfig,amsfonts,amsgen,amsmath,amstext,amsbsy,amsopn,amsthm,cases,listings,color
%,lineno
}
\usepackage{color}
\usepackage{pgf,tikz}
\usepackage{amssymb}
\usepackage{pgfplots}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1]
\draw (244,83) .. controls (244,43.79) and (275.79,12) .. (315,12) .. controls (354.21,12) and (386,43.79) .. (386,83) .. controls (386,122.21) and (354.21,154) .. (315,154) .. controls (275.79,154) and (244,122.21) .. (244,83) -- cycle ;
\draw (111,250) .. controls (111,210.79) and (142.79,179) .. (182,179) .. controls (221.21,179) and (253,210.79) .. (253,250) .. controls (253,289.21) and (221.21,321) .. (182,321) .. controls (142.79,321) and (111,289.21) .. (111,250) -- cycle ;
\draw (381,252) .. controls (381,212.79) and (412.79,181) .. (452,181) .. controls (491.21,181) and (523,212.79) .. (523,252) .. controls (523,291.21) and (491.21,323) .. (452,323) .. controls (412.79,323) and (381,291.21) .. (381,252) -- cycle ;
\draw (394,237.5) .. controls (394,226.73) and (402.73,218) .. (413.5,218) .. controls (424.27,218) and (433,226.73) .. (433,237.5) .. controls (433,248.27) and (424.27,257) .. (413.5,257) .. controls (402.73,257) and (394,248.27) .. (394,237.5) -- cycle ;
\draw (450,268) .. controls (450,251.43) and (463.43,238) .. (480,238) .. controls (496.57,238) and (510,251.43) .. (510,268) .. controls (510,284.57) and (496.57,298) .. (480,298) .. controls (463.43,298) and (450,284.57) .. (450,268) -- cycle ;
\draw (195,236.5) .. controls (195,225.73) and (203.73,217) .. (214.5,217) .. controls (225.27,217) and (234,225.73) .. (234,236.5) .. controls (234,247.27) and (225.27,256) .. (214.5,256) .. controls (203.73,256) and (195,247.27) .. (195,236.5) -- cycle ;
\draw (125,266) .. controls (125,249.43) and (138.43,236) .. (155,236) .. controls (171.57,236) and (185,249.43) .. (185,266) .. controls (185,282.57) and (171.57,296) .. (155,296) .. controls (138.43,296) and (125,282.57) .. (125,266) -- cycle ;
\draw (275,61.5) .. controls (275,40.24) and (292.24,23) .. (313.5,23) .. controls (334.76,23) and (352,40.24) .. (352,61.5) .. controls (352,82.76) and (334.76,100) .. (313.5,100) .. controls (292.24,100) and (275,82.76) .. (275,61.5) -- cycle ;
\draw[line width=0.8pt] (312,125) -- (221,225) ;
\draw[line width=0.8pt] (312,125) -- (413,229) ;
\draw[line width=0.8pt] (485,275) -- (221,225) ;
\draw[line width=0.8pt] (413,229) -- (139,272) ;
\draw[line width=0.8pt] (314,73) -- (485,275) ;
\draw[line width=0.8pt] (314,73) -- (139,272) ;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\draw[line width=2pt] (312,125) circle [radius = 1.5];
\draw[line width=2pt] (221,225) circle [radius = 1.5];
\draw[line width=2pt] (413,229) circle [radius = 1.5];
\draw[line width=2pt] (485,275) circle [radius = 1.5];
\draw[line width=2pt] (314,73) circle [radius = 1.5];
\draw[line width=2pt] (139,272) circle [radius = 1.5];
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Text Node
\draw (302,108) node [anchor=north west][inner sep=0.75pt] [align=left] {$v_5$};
% Text Node
\draw (168,293) node [anchor=north west][inner sep=0.75pt] [align=left] {$W_2'$};
% Text Node
\draw (394,261) node [anchor=north west][inner sep=0.75pt] [align=left] {$W_3'$};
% Text Node
\draw (449,297) node [anchor=north west][inner sep=0.75pt] [align=left] {$W_3$};
% Text Node
\draw (256,77) node [anchor=north west][inner sep=0.75pt] [align=left] {$W_1$};
% Text Node
\draw (305,166) node [anchor=north west][inner sep=0.75pt] [align=left] {$U_1$};
% Text Node
\draw (160,331) node [anchor=north west][inner sep=0.75pt] [align=left] {$U_2$};
% Text Node
\draw (457,332) node [anchor=north west][inner sep=0.75pt] [align=left] {$U_3$};
% Text Node
\draw (204,230) node [anchor=north west][inner sep=0.75pt] [align=left] {$v_7$};
% Text Node
\draw (141,275) node [anchor=north west][inner sep=0.75pt] [align=left] {$v_8$};
% Text Node
\draw (404,234) node [anchor=north west][inner sep=0.75pt] [align=left] {$v_{10}$};
% Text Node
\draw (474,279) node [anchor=north west][inner sep=0.75pt] [align=left] {$v_9$};
% Text Node
\draw (303,53) node [anchor=north west][inner sep=0.75pt] [align=left] {$v_6$};
% Text Node
\draw (206,264) node [anchor=north west][inner sep=0.75pt] [align=left] {$W_2$};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2209.12103 | arxiv | 2022-09-27T02:13:04 | |
The fluid is subject to periodic boundary conditions at the (dash-dotted) side walls, homogeneous Dirichlet/Neumann conditions at the upper boundary $y=L_y$, and the no-slip condition at the wall $y=0$. In addition to the constant pressure gradient assumed to be present in the near-wall layer, the model includes a time-dependent, auxiliary forcing function $f$ (depicted here at multiple realizations in time) in a ``fringe region" $L_y/2 \le y \le L_y$ to make up for the momentum not transported at the computational boundary $y=L_y$. | \documentclass{article}
\usepackage[dvipsnames]{xcolor}
\usepackage{color}
\usepackage{amsmath}
\usepackage{pgfplots}
\pgfplotsset{compat=1.10}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{patterns}
\begin{document}
\begin{tikzpicture}[xscale=5.4,yscale=5.4]
\draw[dashdotted](0,0) -- (0,0.4);
\draw (0,0.4) -- (.666,0.4);
\draw[dashdotted] (.666,0.4) -- (.666,0.0);
\draw[black] (0,0.0) -- (.666,0.0);
\draw[densely dotted] (0,0.2) -- (.666,0.2);
% draw the constant APG in near wall
\draw[variable=\y, domain=0:0.2] plot({0.20},{\y});
\draw[->] (0.333,0.1) -- (0.2,0.1);
% draw several fringe region forcings f
\draw[variable=\y, domain=0.2:0.4] plot({-50*\y*\y*\y + 45*\y*\y - 12.00*\y + 1.333},{\y});
\draw[variable=\y, domain=0.2:0.4] plot({-42.5*\y*\y*\y + 38.25*\y*\y - 10.2*\y + 1.183},{\y});
\draw[variable=\y, domain=0.2:0.4] plot({-35*\y*\y*\y + 31.5*\y*\y - 8.4*\y + 1.033},{\y});
\draw[variable=\y, domain=0.2:0.4] plot({-40*\y*\y*\y + 36*\y*\y - 9.6*\y + 1.133},{\y});
\draw[variable=\y, domain=0.2:0.4] plot({-45*\y*\y*\y + 40.5*\y*\y - 10.8*\y + 1.233},{\y});
\draw[->] (0.333,0.35) -- (0.423,0.35);
% draw the centerline x = Lx/2 = 0.333
\draw[dotted] (0.333,0.0) -- (.333,0.4);
\draw (0., 0.1)node[left]{Constant, background $-dP/dx$} ;
\draw (0.966, 0.1)node[right]{$\leftarrow$ Near-wall region} ;
\draw (0., 0.3)node[left]{$-dP/dx + f(y,t)$} ;
\draw (0.966, 0.3)node[right]{$\leftarrow$ `Fringe' region} ;
\draw (.666,0)node[right]{$y=0$};
\draw (.6660,0.2)node[right]{$y = L_y/2$};
\draw (.6660,0.4)node[right]{$y = L_y$};
\end{tikzpicture}
\end{document} | 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4NC43IDc1MCAzNjEuMSA1MTMuOSA3NzcuOCA2MjUgOTE2LjcgNzUwIDc3Ny44IDY4MC42IDc3Ny44IDczNi4xIDU1NS42IDcyMi4yIDc1MCA3NTAgMTAyNy44IDc1MCA3NTAgNjExLjEgMjc3LjggNTAwIDI3Ny44IDUwMCAyNzcuOCAyNzcuOCA1MDAgNTU1LjYgNDQ0LjQgNTU1LjYgNDQ0LjQgMzA1LjYgNTAwIDU1NS42IDI3Ny44IDMwNS42IDUyNy44IDI3Ny44IDgzMy4zIDU1NS42IDUwMCA1NTUuNiA1MjcuOCAzOTEuNyAzOTQuNCAzODguOSA1NTUuNiA1MjcuOCA3MjIuMl0KZW5kb2JqCgoxNyAwIG9iago8PC9MZW5ndGgxIDE1MTgvTGVuZ3RoMiA3NTA5L0xlbmd0aDMgMC9MZW5ndGggODUzMi9GaWx0ZXIvRmxhdGVEZWNvZGU+PgpzdHJlYW0KeNqNtwVY0+0XPo6UhCAgokiNlBC2UdLd3SE5xoAR29gmDYKEtHSXlCjdIY2EgCghKt0SCko3v+n7vt/6/6/r97t2XdvnPuc+5znnee7zXJ9xsuoZ8svbI+1gKkgElh8sAJIAKGprq4NBABBISAAEEiTj5DSCY11h/9jJOE1gaAwciZD4D4YiGgbB4mxKECyOqI1EADQeuwLAQgCwqAT4oQQIBBAEgcT/ISLREgAliAfcHqAtANBAImAYMk5FJMobDXd0wuLW+ecRwA3lAYDFxR8++BMOkHeDoeFQCAKgDcE6wdxwK0IhrgBDJBQOw3r/VwpuKScsFiUBBHp6egpA3DACSLSjDM8DgCcc6wQwgGFgaA+YPeB3ywAdiBvs79YEyDgBRk5wzF8OQ6QD1hOChgFwBlc4FIbA4EIeI+xhaABudYChuhZAFwVD/EXW+ovwAPD35gDAAuB/pfs7+nciOOJPMAQKRbqhIAhvOMIR4AB3hQF0VbQEsF7YBwAIwv43EeKKQeLiIR4QuCvEDkf4UzoEoCKvD4DgOvy7PwwUDUdhMQIYuOvvHoG/0+C2WRlhr4h0c4MhsBiy3/UpwdEwKG7fvYF/H64LAumJ8P0HOcAR9g6/27B/jAIaI+Duj2HqSn9zcCayf9scYViACEjsoZCYCADmDoB5QZ2Avxcw8kbB/jjBv824Hvx9UUgUwAHXBswf7gDD/ZD5YiAeMAAW/Rjm7/ufjv9GZGAwwB4OxQLsYI5wBNm/s+PMMIe/MO780XAvgAUIJz8wAPT7868nK5zC7JEIV+9/0/8cMVDLUF5TyZzv75b/5VRQQHoBfPmFBAH8giIgABgkLAZ4iHvw/+88ehD433X8R6w6wgEJ+J3sd724jfqnZo+/RcD994TwAP47mQ4SJ10YgPvfSrcEiYCguC/w/7Pe/4T8/8n8d5b/q9L/tyKVx66uf/zcfxH+P36IG9zV+28GTrqPsbgx0EbihgHxv1RT2F+zqw2zhz92+1+vOhaCGwd5hCNO0vxgYQGQ8F92OEYF7gWz14NjoU5/yeYvu/HvgXOFI2B6SAz89xWDiwKB/seHmzKoC+4aweC0+ZcLgsGNHPbPQf7GMNxQ/Xcdyggo0v739AmKiAIgaDTEmwx3+DgkAvAF48bUHub1R90AoAACicWFAHA9+wMckGiy3wf9UBQnqN+mP0gMBADq/QuJiAOAuPF2g/zL8rtioP1/QEEA0OFfUBQMAGJcIRinfxPAuPTYf0NBXLjXf0BcgPcf+F89QR+j0bim/4gR1/A/+M/1AoN5waBkXyeRUMkQ55qQ1uMqeQZP/tURKaKdtGMzQf6RQmsSbK/ymM1igmF21pTma5Wvb8Eq1s4dOgruxzlzn/d8V2pZ6ryFD/lZVNYdWeziJq8Or00k+h4xsk3ebMJ7YZqiwCzxEt2Lp8cURdVJKmvv2GvIedPvfk3Pl0RPLtoSlYcaoa067Z1VJVladIziJt+XDLDNdgNGqyL7d+/nLrk9D16OtoxI1clg05RqPyFL8KykWugfHJihfsvUFRWk4fF09SdHGJZaWXKAUUn4eqXJTD7lee5Lj60MGl871VtyW/a9pfM8Kcc1OrtOK7tbVqzcSZ0PnWyTHKLB331OmKhRM7QKaei8grVI++mcZywEjf0yiUcYk550uFr3XPkSk4vGs1BN76mJntGF88eaqeoWH/pCuB9oJ0hflq1896/nbIvxcAjDb7lflUK9osxHl8Wz6e8QnN/H4Zo9c8gdOmEqaCGW5tRqJFM8Ix7SEmhGLSRE4QFPqzCmBNZ/679eZH7o6yN8mb/X3q7ANeVeGYWIoYn2Waid8csofHG6Awa+q4OmV0cr+ni6LR76VXotWmn1uyGL/Mt9Wt1Efix8po6NRkoAWHJebXZEhsTcFWiJYCufXn4bfsBchh9nj1eik1d6uh9E974P2YonROZREhR9uuVzsYWfAdAhQ9X5EL3Wuy1pMtbhKNqf30uOL/P1wdUvmZZU3UANYTd50PCFgVDDZDMv7YBvO18+XcsKjTj1Yij88eoH7aQVXbmbTv78t6a5Yyme0uoPBG8kPI9ulV/Yb86N4hmvZpj4caO1RDqIRED81besrX0hR4Z7e1nSlCwW7TYsV3ZXSJvbPxUYTQrnT/ueDl1v2DVlY/lBj7/SkJ3ZvQDZ3UA+UsHoxvOEJBVy7tgL7jZ7Ruu8KR9XkzlQ8j/4STKdHd9rnkzZ+qOuGuz8qCLYsYSSuANs196cpfEa4mfb7hTz0u4JT5enefAO1IIL5Jz0s8YM76H3sSPZrTQnesPG0Hwuoif+NKhL/rFNh0lrAORs0oasl8FV2MdkY28dYbC30MFkEwOTq6zlxffxS4lPNoULNIoP88T2p2cqhBnGzmOEPjx/7pL3wDraLiHjp89QMwmEfChU2EaBeHnzFhHNzFnfyCl4h290inr82s3vpvU1goMoZJbSWVZpBEG7l8ygw2e12lMLFisj5cMu5wyDgcgAIN8Z+coK3SYgI41q1lVsxcdsJgFVs5+bma3GanI0E2TfwNoQKGkvnF9gVHTzq4jEg+VTD1p2qOZz3plJST6fD7evm0VX0vhQuADuFOqPz3v2ykDc++xEV8Ex6qfNI5pUXKGysI+fjuKlwzcdmhukfjprnseOc7g0uR7Ocdrsu3FYUaWLL/O/Dc5bveMC0Rp6cm/mJM3ogx7Y92PQrXu0iLyI2E85KlO+dkZtw60OxGFLP/LKfSO0xra4wjs7yQbNssWXB4sXTo+26+dlZINuTa3UGeV9GUBuG3hmjC9KkD1jzoQ175ABd0kjWtaZGLvu0nmf/Wii9A/Je4ZdmzLLD25hexi4644NWXA49e+kWRtN4qkKEyM0NBg3S/a+QyOVhakTdE7WtW5dDG6h4uy88dw4uyV0wVdmIgaYV1b5StENOb8KGuEs83+Bmr5j/83XiU5YJpIm8rq1p1LxTzmY/r495VuCTQjc3nzUekGuo16WBHUDLiTJWBOk0NsszwQ7O2Pu3z+4QTDKVq4J3VizISPblzl/d26EHJUu5GW81fRu6NS7MPArO+oWMUe68QgjpDiwJjBbRF/wkZDE3exGhgEpc9VRX/DxFdREnb6KQJTbBq3NdhyBDbUPDAyefa2zFSZoBYVDFg+F966kd5jeo9PfeHhPVzpZ83apaX6t9rPc/2Ie4Xmr/p72VoHQA976t5EeIv4Cr4vEi+9U5bKJQlrrqClh5hsZ/nEEoq8E/TWDQds2JlV0I2+ir08PA1+KdgYMRYB2XRQSwvsuXbdlPBPmzDalltTMY6r6CL08aNpu+QeuqPBzZLJl2tGyctf7uCjpG9hhJWv7KTecC5veZruQr+jQHwqXjxMLn6Tvz9fOXDnL82baOo49039dXUPKXfxNciioSp/CmCVEEWW3/l5O8rhHEU8ctsGlYsEdRZZ/HnoSd1IsO3I3Bo0X+SOttcVmvyL0OvWYgy6J6dxH/OWS3JLHJ6DZo/gYF2BCBVelyMGNd2MlJ/WfvpAGVfPPa5mbPHpt913YLMdiGPR42JlORnnCpSawhtWst1Mrrr3h+EV/vHFq1WHmMkD7meupkRrjAGLs0jvzLcy4r+/qHBMqTziTFYkMFWIZ8bNiAVRapa+sMfg0B83qVHAl30tS/WQMlqsPEwCK40v2j6pf2/yg4pPEUdweaPwFqIlP4PrZQdTLfSGPidSbrMbTv/qpmhqwlpfzdNou2SWx8ty82hvp9bHBuWI71augxrAtjcDSu54HcUe2Jcdk/alGAz3zCTEfywCDCyQ0z4LOZ2bYIa06kCb1s4M676yFA700vjYNndA4D2frr1cVVInurysadLmJOiz5H7FG0zPnbGn0kKnxMKL1D+PqmfRFDgueGN210/IHyoyIuNB8v3skre+Zr3v5kE7kPJydQSL584N8Yxs6LT3Z+Pr+wTs6ihVrhtqHn+A7nyimZJIpqfs+HIWv3lj9JcT72ZndtCdbaVNsPYpjd9xvN4e1USVyfnA4suny3saUVqKkzRMye/0UDXWOhpaUHvMB7i936dwM3NdvHRVoWNxNCHCYpCIQf5BSKlq7dMcGfFowHuAJIH+z9YrR8AGRLPi5bDAJ+d6k/ETvvLcr99NlrWvNH7Bv8lgIdozjaLa/r5N20pe6yY3x0p3FGdGKx00rN+MXmeo68k+lTHZF36xS20Ct3aWEqBEzs5FY+hRedFMBx8aZQ5SdTYh8s8ERe+DhYKPqZBOtizERb1NNP5/Asb3l1J9+Uw3Y64XOCvYboSbSFT5fhaY6jSY1AlrXLGra6y8/CdleeORdohDoYOMb2iamrzMPBb7dMufHrqenbVSV1wj6ZH/6FR9ShPeMTMpQFAuud307a/vGLmMtEi+3BU99i26UyYYn+1H63oQNjEqZ0hBLUWQMFfn+XnFRLuopsleEqt9LS+l9h3xaZMOTi16dYqaPBiQAragfWQ59XmuCStwpT4cReTVTk1nT8JmY1x9GX0VjKHq+tsYEL50KoOdIqgiY95QtXvETlF00fj+gXA8uCfJpS1l9jq4gurm5MMZRpPCaXAsfGBn3TaJJge4AMDn3mStQlSFnbAT8WBRkhbENIkvYT/bLaEnkrqYTzp1/yb3xU6Hmgp/apfVNc05fikvR4v7ZG03mCreoWbk5m0L5+2ufOx+1jHfSkDzgMICRuk0oWRCUx3TGoAKGflb8jCAnNptJlL8Qc5P3+XrwLYvQvl1Hkm0lPeAu8WhCSTtqvvUw9XYTvaJqMWVgos7H3KrYt/N+kgDN69uiVJ3y80cT/ba2K+3OEkBy/Dt4j2qfB15dGhdz8p6KMlh+2WtQWFtMnIqXGtxc1YvmQBE4lwd29m149mBD+eAlc/CKQo3XEzmN5xOANuOi3qGfmHXzlmznUP98MsturJri5vWdwRPmdCCZ0uIq4M0gqS8c9nb5RjpBmdSLSob2zQ8Xft0CvqnQqmeux6DYgnDul3RTTxRJ0vi23zM2MX591HSJ4gBw/aKCvLxZx6H8OkFFLcYNj2f+zlyhEFEZdt5gFZ7pygHi9HJhvVBMlwgU3/hmM8L/xt8lQGtU7tuPsm6KIVXpt9alTl82eVwqM5vhpGJ24/HHchjrO8deqlcC8WEkN7fu6h6FZTyK2nauXFahNZpp/UjxgAOyE3zPYLrqFOOQVFdQ+MXSLRDqAkZW8609IXk2vDZPGNilvPnMbifqgWKF+14PV9iF2a0t9YLMvok0QnSb5XRD99N3V0tnBjCkrUfCYgva/g5K9vuHiYrKLIdPiiO3iatfTTabEh2iwib2XIjzg0cG5PNYqLi/Wmmv0H+mvklKRXs4E2cdVD76STe52nX2w0dvacb9EmsfEeXoIHofjsunQ9Afc6AhF8NI1PM2+Z/4Ti/RGPLQtnBbIo33iZcuUa3Nw6rKThNc67K3g0MBBbcWKhhsk7OX5cSjWNOQlnJaiRCjVCsDLPn3mz4dlffv8XYdGUuG8SuP3lsNTUS+MbJbmu0QWals7DhvE0xqlyn9runlLtRTtPDOBvuSqTxzI+6j36jpZ85wUMGw9JpyvFxlS5LAjqD1Arq2SCKXm0lNpgy2PqU3PFs7IVl59KX/84sQfzfTrA3+X/Xai/IjPhhbjJ1/XE7014seTJMcrU0iphWIn5qzrBLeEXJTN0G5uzTVdTtqzslS1dbu2iGEWawwo5GDe253wNpY6Fale0bdxMHO8p4iEVvplUdHVNOB8yU1XoxsWu7pzJA803jjmohACUai3aqfQVJNsCK0rUbWtaOuBkpLs3KJp1d0tM8KIymY3uTHgmO/AO8B++PtpMKSE2cuXM6Aq77zxBujScjMkbxbIc/f9xEsfy8SU+WkjkCNtL7b6mvU/iUxnnyKuOjmgBoGbjGIsL5OyGkBJUcuTcmFsqY0BKwokY6zi0neePJit+5qD0PIlGu9WSXtqPgzP74uaFb2ZH3rs891yRgbq8RWdADuf6ZaYmUEEHtO3rO3Lqr46qGqY2xz2sk7BombJwrS4hwH13/1b93lyORtFI0/OB1wQt88YA0mZYGVSa4PUQaOmfYKlNgHHKlegpTTFkdI8Qrn5MArDUUxXvCqSJPX7jfih5sqS5PKqSZR3xwLda55elvNT1pmzWAE3d22L2VzBL4UaTacHkr6HhwYNQs/pQrrzO1+/lInf2eCaoG43WVr4a39gleXupOydH/wy/AiqwQrNMAoodOfomVb/enZj0zBWfoKdoqiZ4Tpl5u9FqRVqWSfEqCPL7ybjQ2CXBYI4nBvJPWDEQyl74M6wkL8Ws30JvJM2nq5N3zmRjfdfD3aYnt0sLy5w78yoFR4SunVw/cSyG0ksS4Tc/yZ2ZvCTJwvXzYQqZSc7KTT3zie/VFz7xqBvG4ud0UY5p1DNSf3zBlqRGlajU2QiyiNHxVJrrkTUBVht7wvxCr9WHlPfyMplYR7S0lKsta56u1g4+n8V/XVE0EMLVN+w/yZfJ1jmGriex3D/khon+DEectnNI1A2Ozyw0+KsdaKCnmLUetVtNKz6LhR25Rd2ixX93JuQavZjnQdGEO25noSqJbpu+zLMRQ45egXuXVM2i4l7W1qW70AwysWac3ZK1nlkzVNhsxMrlq+vYgCtCWHICmHxedooNckSqgdb2vJ3PhFmXswUT0vvm0eGvDqSJ68PNFYrK+/FxnHi8LcYDyhUC46dHV5aSeH0OfbG5Y0iI9G5CRECHp/CKukC/na4M/8Zl1z44umiVEwe6nYvcXonGSUskS752B2ziidMpSGPDG3p6xHWv1gI+KlRr/tz3dJZjwGXjtzCRtxBG+9SEVGBaacSthJWpTU6Ddzv4IG8KH1AV3NdBpFN5bDmnaCiiTcCen6Bpy8NWfrLlUkpcyvcj+Gngf0+O2WNs6TTlDf2jcCojsuilkqd+Tf2m229hfUna24lnG6+uyDMiABmG+JSnqKOsKalg2zu2uyyuy/DBBjR8lsm4su7LO5+wlyhnmnfhrkPFf7apaEDMS0/g+SxjyMZZWkeAKHUnasCjMvCreT3/xMKFua21D92E/dlUiE15hhxLGurn246B2FlyFGJwzUZvKrauxgz5W2Fb3XR4RPFI+luDUi5jLIDM9fJ5ayO0nOym2+Rracezecj1lSmiKTUHX6yRMfMaqHhmgUV1gNR4TLwcp7uWWS+uK0KIh2YHh3yh1a9sEamN9Z2r5d5RJzOvkNrNYzsdFqUOpguN+H8c12XWaeefePq1QqyVjSFN1c/AJpr5qill6iqCmKL8U2a73SV4lUF3yplWO64qth8v7Dd19Yki96W998IO1lE91Vakz05nnn/AtRXZJnzgpTy2KyobIh31aViN7E4MUzWsTueyslfe247mZabMOeYBcFuUrx8+ShVrdduFneA4dA/CB9mDZ+AY1sIxSb0IC8HNeat1zbD7ql8adAYuJQ/M4UJPDwOXb0HrkXefLeAd8wHe/Dhh21DzbH+lL7d8EeGN3A5mCja7XTLp9EUu3NMKcparHVwfYupqiHq+7eBmNS/cyLXuTS+/xZHuGE56ofaP2rzJu3faDpE/uVH/h54Pi/3Ewm57nLtDJSlk0do15du0SPSAOrb3ZwgVWM/JWtfrUKvZh/acjJyKXd5B1TYK5YmERqd7LcVBzDRyrveVuzgOyoDcBYHp9FWqAsusLkaop+JkUsfHmsPWhzz8ooPD3gfppHJdOZrL43mfNC6MecwsWkJ13kaX78VVAtKsKQ/TojQurcbZ+AAWpq/KwrBq3Te2EPJ4rKVfkedQ7lKkRXz0d2bEo3kfByDQcZPSwVC3jyLI49bWyhr8M1uVuM5XYDS01vW5OTxlljcVceYz63c8yV3SovnbQfNprhAXQsEUTTC3Jt3Kmqe4+RMmnxxCvrB48lHb1g4WV5rkIfvJvKX9IzXXtC/cQHKRI8UDRTWmtfRkCl/CTxbJCrh/bpF+K+l4XHT7SaBWRBdbP8n5anDG0Vb+A9fegOM8oopHspZVdEjkJhaxrnxqqwRqa6tmGMYz+FBXS9OLwSvL5R/4o9NmuizysbchTTVKW12QbVsgZNIvd9ik2Dfw4PwSX6iU1b+XYJUzVrWzvOJ40IPb+9wrg/Myprd3oqip7a3NVK5JIwNY9825oeD1h2fF1Yr2UvEx3xDF/zeiaF3JnQJ8ttQx0JsRcFdPcdCTeK50mMZed4ViYM7DhHz6aQ0Y2BaesykaIUy2/7A3jSSHUTyEpf9Zt5irwHsg0t+rmkl3DD6DmAd+c0SttVyZsWEpn7D7pyGEHaB0h2J9So0Qbn293Va/wGedwyRbwjp6RjJd8HBEXCnVrXd1r81AVEHnfZ6usVHE0+5bH99SpVX7+/YYP7/PqRcKLI3eRa65fBcyFPabXnK5HhTCQiqry2su8NVLRLKBZ6Ai8/DTsux26iOh2m5vERBJd47SJ94Jv2ZYXN8T80327RWGiReTe5k9YpdDZw9Mjdpw8fFN1gNd1aIBuJO1W+3dCn3rwjevzgTN2oi+NZzOWId+bXZ9uJ19RSUPDmtSsTqFOO1V1Xrun5Fyo9sxLN3VS6hRsc7AORJKxKEiV4UdR4oZw8+NdpIXeXM7W9Ei8G+tlstFJPZRm77Wl4TyWeTYJ2BK0eenF/bxFGkVfoibXyMgoQeogw5WCG7KQOYmuttPTDQDu8xw2aP5I/8zXKycAE+KeQr8efr18q0lfQ3yRMedEX6DpItdM3ahlAb8B3m8OjB5miVJQ+5Rg2T3LpHXSymbcOYWR6iKnp46GD/ty+7QKm5CsoFOi6+MU80PYq8ziGna5fjg5aoFV6A87g3CmpUxW8vqCo4Med3/mucqlRvWlcS7i8GtR/2tfKNcPwvOCS1m5tT6mrtZaaJurJjlGOUEd9071zxY0CPCnpG0p1jh3+v+TaZEtVJzpCr4rZ18brPuy/lx1SI35jpUn6XKrXcWMq3eDgRE+tnmjW7INtDjA7SWca/7DZfL4F/1WYiizpV6HPtecBayWRuvqPyqMoh058+n7c52s9XWxN111lk2JPoaupkQgKK9nvd/V0vNmmOWlj/cPAiTOawG8Dq8ecrWVZWWI4OQdC9rvrbLwpvdUmVZoKTTGuu5T6UVXsD91JighTuFqoEopRkGJuYzsVVxfAfG0pg9+mIf7mtaRS28jxU0wM06A06eGT8jZlJpz8tO/bx2dNK00VinuEeneH0tef8rgQfhB5GNj0klu0SkzLArkeyDMzkV4Ifj+N1l1o7T46El+Oy4WuU67cnPB6cqsQcu24MCCL+gWSNVMPPuh5mu9DLaSM53B/jVEHuvtmj8HIvptbNE6Ck/buc3aUkJuFRNTgyBMdmn6e1r5SE0kL+nEt2gnXREKHVXdGBF/7qLh8dnzvF/bU+1NfhACeTibn786U11ZUCc59kJaGH3NEEJTgnNuNIT847pAyix0TRH9+jJ9oOapg49caVHtIqd5KNUi4/TzaQvnX4sxU/0oHMu11yKkD9uJoYbCEH/nrh+4QNeLI2slOLecVChKNuSzphPp05rvvnUAFWfMRUW4558Q6AjnFP9gVwqzLU98pDZIQIiQsjbsV6yuuBwIpH0ECm9+n6F8rjQmgqyq7rS/WMTDLxbz2Lvo+bw+V0tdbWtDEqnRNDy07b3MyY9tLxXnJG00YNFjPUpcdD9DW12fQrsEY9roM7HsocvQwO1vbpRGfTT4261cICHCH58DePFxcc93hbMj3c4dA3zV5wwCUmmL4gXK+o3gO53N0t5/Ax1YjIsK95hdwrK7ZK6Y0Y67xzWp4EIUfZ691xRjh7PeciKoYrdWayptCVRyfDN2Y30WFgIWF9AokXrt1zetGfn1nrjIitT5bJjoUnFmr7I2HgU2J7r+h4imebNBQyoltrtGOWGaknFhGX8t+EcaUthqdoXbw6EV0aWxglzDVbIORxY1ujNP+5/Nzdpfoych3ZENH7L9mXJ+m6Tod7bWB9I26FyVSOsgMwmc+ZTktsgkZlEePxD8QvZNQL+FONPYhrH2EnPHIpDTSylXs8vg+5S1S5t2W4Mtic6HgxyUqT5wDX7Cx93QdJY8t9C5lSHMMsm89SCx9sww4kfzJwJlu6JkabMXGA4pSD31n5MTPS6vaJ6YtBaX3X3t2cab8TVIb8MrUfKnDjTVIMSi4KzPI/IuBm4FQ/4rAabdveCIhS8guRe+RDdHgI6Cj6C3BrW94ku5vHBRpW140GdjrWO95Mdak49Mwn7PP7JLx0yx9P9NFUDgb5jgd/Qreru19sbZmK7zdLW08LptlHUg3gC3dcaasqDdg39jrNlPMjEoGCrPHNyIcnb2Oq2k4yWSALBLTNa8jHr57r0Y/VOzuwqibOVta/Ko941KOs2nfqapOiLafzD7OQabhKzGLTCYBAxldxEDV61alLezjXjezrwh9x2zpbZ7qcRpgk+hnlqUhAWt3GQJdC1GlN7KJn/U+G3+48r0m9woPAVQa510eE4pNm5veDwT1B8drvNeudgEKM1y1+8YS0p+wxohAxAryWzu80xsk6iyzau9V5g832DErIGuTY1XGJCzuWxPmtu8HMjM0NKDyKBuMetUbQQtL/byHP3xFiKK0R94N6Jcer4f4IEb1+e8Z6d1nD5hhoaXADyJesrZhkww75Z51zt3u4K5LMjxKUH0/83GpCqrzSaGXfSMjLyBpuPYADf2CumBOqO/oArAL57BSxhE7/tS/6Ty8iegb1mjzWeID3WnLYc0I0yAUr3fU6ZkQDlK49TJyrz85eLvg/GLtY96OY/dztajD9DSDnwN7NpTvFKNs0XE0E4rUN254OjO9So13tTA8Tv+JMUGqtpOljeTV2piK1zS2lYHfql6qNJc97L59jqRm2dQWgqwP2Dqb09NLmSY7LHyTLv1kZ5do98Ai92hIl0rCo1rhQq+a2tas0UaJyTo39bqnpVnnQmB5YOwNcRquRWk3m8tqo22jbhLpPGU/d7Hu+mRvgeAwCmH5XN2301qeox5nBfoIi0dwnqXZTsHyL0XhzMUUzHLfHwycQJxYX+CjlJyGurQ7Ngv3kIf8teFZHxJPxuLIbqcG+y6/6DJ62z0l8J6lV63Xxsi8+ZOv+by2jNChngrRtIdycAlJOQ2D2+BzudOgixrR/ju78T1FRw6FYuEKFuVmHSYWr3sKZ15jdSYOobRf1Qje5Ll++Hb5NPke4ctQBYU2qSIee7bcJHPZ076ptdIFFaUgQKV2xI0r8eM023GSe5/ctRWd0gVCSUNbU1znlQMpHaRjomnR+cqJF5yWB+eVdvQ/mA8P6Nf0Yp46+Y0d7QmTcPkEiuXPH59Wq0ZReNU4t3vJU09lk8uzmN0+Wpf2DXB6H+041tDqcvk9gu/Z/wF3Ipa7CmVuZHN0cmVhbQplbmRvYmoKCjE4IDAgb2JqCjw8L1R5cGUvRm9udERlc2NyaXB0b3IvRm9udE5hbWUvTFNBS0RZK0NNTUkxMC9GbGFncyA0L0ZvbnRCQm94Wy0zMiAtMjUwIDEwNDggNzUwXS9Bc2NlbnQgNjk0L0NhcEhlaWdodCA2ODMvRGVzY2VudCAtMTk0L0l0YWxpY0FuZ2xlIC0xNC9TdGVtViA3Mi9YSGVpZ2h0IDQzMS9DaGFyU2V0KC9ML1AvY29tbWEvZC9mL3NsYXNoL3QveC95KS9Gb250RmlsZSAxNyAwIFI+PgplbmRvYmoKCjE5IDAgb2JqCjw8L0xlbmd0aDEgMTM4NS9MZW5ndGgyIDYwNjgvTGVuZ3RoMyAwL0xlbmd0aCA3MDI0L0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42o10BVSU7/YuKTgKSLeMwNAxQ3eD0l1KDcMAQ8wQQ4Mg0h3SINLdICEhJQ2KSCuIhJSAINL8xzjn/H/n3rXuXbPWN9/e+9n73fvdz/OB7uno88rboKzhKigkmhfCB5YAKmpqqooCwWBBPjBYAAACGSDQTvC/bgDICO7mjkAhJf4XQNENDkVjfEpQNAaniUIC1TycgBBBIEREAiIqAQYDBcBg8X8BUW4SQCWoJ8IGqMkHVEMh4e4AkCLKxccNYWePxhzzr1cgB4wTCBEXF+X5nQ6Ud4a7IWBQJFATiraHO2NOhEGdgPooGAKO9vlHCQ4pezTaRYKf38vLiw/q7M6HcrOT4eQBeiHQ9kA9uDvczRNuA/w1MFAL6gz/MxkfAAQ0sEe4//Hro2zRXlA3OBDjcELA4Eh3TIYH0gbuBsQcDtRX1QBqu8CRf8AafwA8wL93A4TwQf5d7m/2r0II5O9kKAyGcnaBIn0QSDugLcIJDtRW0eBDe6N5gFCkzS8g1MkdhcmHekIRTlBrDOB351CgirwuEIoZ8O947jA3hAvanc8d4fRrRP5fZTC3rIy0UUQ5O8ORaHfAr/6UEG5wGObaffj/bNYRifJC+v01bBFIG9tfQ9h4uPAbIhGuHnBVpb8QjAvwH58dHA0UBouJCooJAOGuQLg3zJ7/V3kDHxf47yDklxszQYCfC8oFaIsZAh6AsIVj/gB+7lBPOBDt5gEP8PvfgX9aAAgEaIOAoYHWcDsEEvCf6hg33PaPjVm+G8Ib+AiM4R4ECP71+/ebOYZeNiikk89/4L/3y6/7UNFISY/7z8T/jikooLyBfrwQIK+AMBgIgYhCgKKYl4B/VtGBIv52Af5PqirSFgWEgP90i7mmf3Xs+ZcAHH/FwQn8ZzEtFIa1cCDHf0huBhYGwzAPyP831X+n/N8Y/qvK/4vk/92QioeT0+8wx+/4/xGGOiOcfP4CMKT1QGMEoInCyAD531Bj+B/RasJtEB7O/x1VRUMxQpBH2mHIzAsR4gML/fEj3FUQ3nAbHQQaZv+HMn/8hr+k5oRAwnVQ7ohf3xZMFhj8XzGMvmCOmO+HO4aXf0JQd4zY0L/X+MuGY+T0zz6UkTCUzS/dCQiLAKFublAfAGb1GEsY6AfBCNQG7v2b2UB+PiQKjUkBYmYOANqi3AC/1gwRgAD5fX75AP+oC/Nwc8Mc/JsOmEP/Zf8WNxzuDYcB5qZRMMkQh/qQ9pNaeXov3rVxKfy99BMTAd7xQgtCdL/ypOXnJP2c7Hn1cpW5PoiKhUOXloLryfNPM4d+qw1MjT5Cx7xMKl/tmKwTpq+PsaeS/X4yME+TtGDlGacq3JUocevH0mGMvvP6pqyNXb8+iMSfvb53NtmLjaJURVQttF2r83VtabYGFYO40c6KHrrVetBgTfiIhj13xTn+6ZcYs8g0rUxmdanOU0CSV82d5YHhwUXSPsbu6CdqnsFr+6xhaFJlyUEGJSGCGqPFfOKL3BLP7UwyP+v75AoPOB9NciaXJqxl9Rtv4wWG1ww7r8euexRI9gQ5bJdfZMt/DGlkFCFxybbSHX2z9q2h7vDJotoR0/UwDe6TG+3x1YL7cs/v7hR+f9AOZqhx6qsgBhquMEjrnyEhEkeZN2eYfA0F4u5VzgzXANZGWxkHsIt2SEUW99h2Te7ZPHtU/ji61y75Y+3kaVFUmt32wysDG2rZxgAumkiFC8f3pYMgmaB3iiOw0FHeCPl8Tc3ZtkKxG5axFK384uI6+Dl6zUy3nA5sC+p4j2zMg4lvVl4uVSkb9tNf9lm+o35s+5EpZ5vrzOEnRdVpItGLyMdWbRyOie5yXzkIMxNMH7z8WtYU0em3WSbz2n1qtrQwV7zh08+JNF32Z6CeQouYWxNlTZHsVWRruK7PDShvTmn8UEgEhdYSRCAOjJ0o9zoked4Uakj16VgCqaakSaLu1oSNnT4HiyPC/fvLvnabiDLp6BVKsL/vI9+hlFrqiUySTu0iVrE+IP5cKZRLmKU14Kd6jgUDGj2iGv6mZ3ZbiNo0plp1MZq7jsKfaAnIAVGI1tVjQ1W2hATaVJabZTxtWvJTanH3BWIX5BN9guXfvP1Dy7ZDK/97O0dhcMGIOOE67gWntbEvs/vFw0PxmkHRBLafugQvKenYcK7WJzwZTi74LZMFcPzOGQTng8p2Rz42R4aR8rH3WiWhxMLHiJ7udl2bcUodfCaL8i8X/K6EJyG0YnRe2+vFuuCao5PrDmvu2dzMCS/JBSmXVtgxaPt/8xVw+8ioO736XqEXdmaXPin9POmaVu6LGVmcnQXwepxBWegQ6744zbpA5jz20j359/PHjXDVVCxRQ2wvYXuGEW5DK60luvOygwSpu65+s6tvToO+l8Q92eVPjWAgo8RLCKFIUT+/3Bbr8xnemmWef2OYd3WTO2sgZV6iqiMkMP8RhSzWBWm2/5CzpNSSJv/8tB00cWePCGWfDciQMPYcbRxaZL6urCfhdEjPm9Rt34y9KJvyasrMuwdvjYyWbCCYVdGhEHlQr0kQ63z/ocm1uK4njo3r1Yao4qMyocHs58bmzPnWyZCobJjWRZTqJT+I99tzhiWscxnihtYstpHjl+1t2Y/Gks9xNUpOcBtNx4Ze3+si0eDrJFb+DLfMV3w+6AY7VGWeZxF2cQpjJW5f7Q5nMb7opQrfvjya6a/ON+Iip8u24H34wN484fQyQrPXZoKt1ssW9XS16WGDpXfGS+38pvcn91FGyZ9BiBkxX6vnFFIDYe1h5PrL1AP7fhwOE3zqeqYxP7ouKFk8wr6ltPZ8eVachtQb/zD9LKJPA/7Se7vrw0buFWFI3h1jJvoOAa2eW4stzlTXQL+Vp6YCblujLir6r2tsS27j/Myf4iAuqSkVthYKlRRoC2A9YKCm6SEF4CpSulJRWry3wvqAb9Tobcm7GIy3lOZi1j9fdB0bdxb6dt9WZPCDYwseyXvluljjz/PbOCVtkHHvnSPkKTLjANdkoMAhklS2FqawUPn5RfqPtj1cmn0hLa84mvbPomghXu9n2ur+fHQ9ag/SQGMZInwOP0MfIPDKL/fzZJzsvrFdzXnVFu9FhE75hwkrGtNz5sekBRc9OfseMTYjkuEZcERRLCSgECFDjNNfOjl66FoJOnj8RaqqyntMyGpYHtU7nudU05WiN6t1YyaHmvZrU++DS26qbhBvcXJY2qtjo5xJN+LosjxjLhs8ZBk6+0PV53U6GiWHUMgyI25Wx7bbFc1CqTSSqK4qA/mWj7RMs60dmzClhjVOTT+jLEHLPv/zRQ3RG5u5gUyctONBE0WeSH5W8ngmpn1Hmo7bE+IqwuN9IHr5tdfLwZ/CuwJFS9qGlqea61yI1+TyPleEo69vcU/FlcRFVjzuOiT+YiFE9IqHOn2cOYQlHXmvqeNH0YiBq2qnIitXnRix6KXbCdNIK10zlQhNqFGhXEuA5oUzWGqbcUsbqA5fYy9BVAVE79GpMQrqaKdqP1cQRFHmvNkytna95hYm9v6I42NINecuI0+xpM2HY/2yJVLhno0mZW+HuvoMbt69Rr3pU7P8O7zH4ttUWZKMoWXYA7oAEq/W4AgNkEON1Gdb3ElnNB1P+owkw75CsI70cPH90SkhefAn0khB1YcZhuS4H05kd+4v2lB74s5zvGawnnILD6o/a7SIJY8SP2mBB2vucEawXC3HV5H1rE593+KucHZflyhfD8EBZxoaUuN2DIQy8LUmRfkvyFu0IalCsYWRDYkjfe4hD6BLpm8SAN7gTSm8CfXCydD+HTZ1LCT5iGXz8GVt2Xzcajt1MGNPs/RunzOT1px+FYFEizG+VO+URBSJBOosCXJDLGpaM/3FOYJd4Ydghwj6VV70e6vl5gtHLlkLfWvpFpwkqvyVoq+k9EWvrhx5OMXyyZjeDwxP3t5o9LJUbMan1YqXmFw3fRwJsgFisSsckxzfCZtfyyaHNDwV2TusPhEf1at9L5u988HT1eMWhb9880yrb9uA1rpSLYUwJb0FRen58ZhqazDO/ReZG/PwIRrC3sblp1apNTPpEzQ5bxDXUcESRYxHHQu+IrhRwl3P1mPKCMfK3zZLHeI4EuXO6JEM7kvsvkr+ClVzkG4OHc+ZVSR1fkdvkzX6QIdw6qUz7Gmx0c9L3S8HwZII7HKEPU+f2x10dvvCkpSBGOfmWGoFds2xu8yL8eTu49LHMIbo1W3ww51ZllfWGdFnLnVutHaCIQ53tdLusj+hkOqSTDXImV/pS6Z/+pz3nUkx+jJwWuVeTGgn1jxA9uZI/iMBpjcB3Lw6t5jOf2zuaCyIq6zffYO7Ymv0Me5nYafQm6HvQkCTwK6EWs6GtwfcBHa8eCNzNCNzdVyRzp8DOJIMiRNudE6Y9iUaWkwOyQC4Xxep3VWxSaaZAHU2RFUwjm5ISA9+tVPWjF7FqvO41k1yMXpC5cIm+kjcdYFUF6X67fKiySgVL15TwBzaF38K7ObAYqq6+Bx06V9nO8e/ohLvVn5K+IxEz8jzItHi6BBvv/om9vGof18Z7zOXWe/7u5d7uBUksTkEgbLsBBvRdl2+s1RO9aXJ4Sf7Wzwv1ujHG1haijNb5V8qqlRlpJo6Pw+1uLUjF8NHXjzrPt2WsCdDb3vPnGF2Ro30xeR7xTv3L2s9aNo2P+hSxU36KMa3Vxu7z1F9IeqtXWGLrH+iakBPqjIWpLbbCR85JPkay8ZbD2c1ejHhCKKuv9m3SLWb6unEcswucpB1K7pB7CQ5mujBUqd88KxoVoF5LWImglQQbko47z0yuroWwe9Da2u+D9iSOcF2tVizSvr+5Ky+B4t0/TF7Q04ArtWh4BVe9+b3KY71VUjF9ALT455N3yk9B3mvE49qqBgLWmu41jVvD/8dcUlwIesd7E8pTykS9bWz32pT5m/JJVZ1RTe9ol/1IWX0g+yq9FeMEqT2PuWMslBRfxIUoMZ38laOcVjIl2RpHtL57IuSICuOIy3PE/B+MWV3VpMqdFoML6+CNuq0hoEhMcxF56OuW5NiD6IyY3DW0dxV4TETW9FTiojqy+fPzJp1DIzNAtjbhInfbN0BDswr5vrmxMOl9jhaP1K+xmdwd8wv/Io6IGgUvxdyMitL4R3yLm1FuelZ052qR13YvStJz49b1GTYlpkjFYIPbtLowzJnoo5o7w4HBAorPVlzVjJMbbef2lQPhGhyOr7ZnyXk1DkmBPHyO5H6o7fxW9KvYB3n1IHJnw1uW9q/XrKvwz6IdfyeFt7VvpjI+DJ8SLGpzgl4tAxF4LE5soM79tKb0nZux+/VeppGoBzF2YZnBY8bKKqFBWZNBsTcLsYCN81FNiBcytQ4qbgF4SaOIbcTFwZsbljxuht/aUy02sQzm4xmf3O1ObLbcW9FpfHDuwzbOjGFlmnbudC+xRIOTqyGmgxm3dhlkPU7OZp+V+4kC51mEfm3qx5M5X0By3ghOhL3OfDwHZ7OP+BSC4AyW+nNT1nmNqGJh/rb7mMdMWQXE277aS6JMSlx1evxnKyCeCuuqkn1pj9NB1pO5Ov49uuOOq4t4bnemNLkNEKLATstNqi2fhLVmzmpx+fG4lQFo0VZzFe388vJvLVS5I2UdBzQ4bpN8rXxpAZzYlPQ/YjMcUKicgUa5enW0DVLWDW+XtydLAFPLbI3TiqfsgyZ2FtWffzXh5WxCo7J5wTpLxjrTFVQL6x6zF3cAVFEkSmg9qOhNd8FJaJOEezwwveVQ+k7y88e4rw286tv21biddEekop71xYa+jEg4606w/WgLpvh7cLVwUGqG/y3Wz9I+hSmFFz2vYPT+apopPuAnh1txGjsndpVa83nvCqiPkfi01DiFXeo0xyzbHVWnB5NW3ZJkEcQ37eo48Rf0SclExtsH37IUtYob89ZtyVFV202TR1Nu25WwJY0n6rv2XZ8BaJXT9PdilphB64XBNYRXNIJiceydnyIpXxAqDQENvWx5+QY3pA8eCSZWpreWvvuYop0w4dHefngdPmD0Xn/20G1wEjisZ/9hwRnq9q8i9wINqcb6LsIdDzrbP34VehNepo8qimeiID1g3qp5bNHE6usPowDufNl3NGcHEn43q5g9R+rTzb7LhffzXSgqyJfoLOSE4rbme/wo0P4NZ8kV02TjXi9mv9xCoAPMYpy2+AxGDM9zv9hzSEyMRAhOwezHHfIPwOYL3QYfbCX5s0P5riwHLAoj2GSsPIbky2+VugyPCeYIWDLa8O+sbZ4dDx1dXNO/EGfq6HA91PeTSxIGqw4qN1mX+nlrUJaxbXXeifCnurrymcIo0/3zlo2Tlsb6yRdU0iS7pIQrqMTLrRBosa+yYdpuw6P63r2DO1MXdtD1nY34uP0uxlSG5f2jccopGw/bCC020d3ZYpM1OM09gSY+2XEa1gjcxglPu5XSX4JvJEBtEpwBCgLE6nUdmMz0Cg4OGWR+is9mTmTKvdo7FSfp9+j3WGWvsAWE+PmE6S+fNVmMUvKty309ie1VTbt+jNF36TH7yJXbtBFTZ1ULgj24PqxDpEbtj0+L81ArH3gE2IZC9sbGH/JJk3nnHBzwqD+5wIP/sZ+zDvpsZ7SikwyxRwqi/wVB6Lz9WWVFbv6gxY/0+FTpyb4tCe/15JLf5jfj/3xbauJVwGvstKFBJuYVLrrewU5pvB4YIfJ9KrM4xWyuQXS0H25xbBGmzfDygwBWbE6kbpcelysM1Owyovu+Tki0h7V8NnbvAl9WUG7hzrvRpnx0czdUjO5KWqtPikbb/gsNNMBp1YLNUdTcvGfuBHWhQ10rq+ibR190BrVO9buJnUkeeBQy8IHlAeD3HF3E2huZ5Q2kwyAKDWiP/mf3XV18irKDbuWpPruwcsDGnubi0/lRM+si+J8wtN4/PpeZWXRtwKs7IWbpLcvH2TGjbQe6koUDD1npLj9FTz9rVnpE2RlRV2in4Bb+oLjaDZiK8Tk5x2iisY6wS+zvGYIYWan4to+6ExRDILdV7MnS3aX8NSx3wzsrknmz4j0ip4bmVKWlT1pEvOLz+L6GNobZUJUn1NMkfZsnQ4SzLOk1vO9LEL7TK+x8jC2uai9ElxM+lbiOwMxzXcJ4s4XQKvCzRsO2EaCX/JemjofsHiwtEZpWC02a2OXyJfLHMElAIxj8o7XWsNC1Lsvy7TGqPZp2hxh2q4nMcxRwWL0JWycqvNbSXJJlS9iigDOHNKlj4SEXJsDXR/e9RheA+tY8ifOlWzLzjN7JLfuhr7sKJSUi2kE1ox/mF3PjUqNZLYW4dCKuw6wMWJDHNN/pgNxgYQrKAp4+NY2AqNLR4ySULbHoTA+ycLut99aom4xQE/5o2tcQIMbgU6lL64XbnJ5MNNojtqfiqTzrF4U00dSiPR/KtKVcbA90iMt+UFn0P1NY2O3v2SeuJF8yo/QnZipH6fEIR6Lo3u9rCKZ+qUAaHMP3B/MR5tohWrw0wrG4zymhe972JG//EoVn6zAvkJ9Zn0vhFMqNST8ntwglzjwrHCOJw1Awit8JkVQ4xfi6/Y6ZcOSJoSDbdAeO8hrDIIv9dlOfvHbQNXQgtgrSyPR5EqqYTjXFsvRwU+dfZcqa94HyZYxT7y/jzR2XlGIBUfs87BkmX2/Xz06CxEGhK8tSrPwEm9UB/dyCszd78PfbCEyQ0KUnhb8HJOyXPCli4A1u6/Eh6dkXnEy57wrrpOUpFw7Jk/2F7wq1wnhcwhqXP8J8ft2ofocSHoc58LCkEwCk0HoLGjjmWqkklq41MOrCytvbCh4TzbK+fAIjWOxcHG165gK3CxfycmoHgwaP/ZZsZs1kKk4OmE9eVSVSmaS7KcE2URT7suqV3teAutG/K7yZ9omHT5lZ1xtUoYzDwmB/BS3/XAO7frLdWhaEdOSZAZ5msyWUjh8D7QMVdJnk8MPJiL6+iJSFsFaGRrc/E6tZF90R3aqXDtNKGYA9XtZXkfvxiyMt736LvbLdZXMabJ6H8uJPeZ4xnz1cPLSMIdSuDtTnRl7UljJ4OoQgEhL96BzuxfmpMLjsC9VE2hCo2vrrfilPcVE4tZhNui9U1DK0CvXkZa5q3c7yLw7yQD6rc6WLuh3KZuuPouJHVdWAlqSthZ72kf9cenpoin+hGdYVC1xINP8r3NBn4u2fW4fal8MBBmR44x/D7aerIDszuGaiwcUnIfjHwTeChM4ppqqSDCQJ68qKGofHz69fTcXD+krq5FKoCsTdvvh04jX+pqbK13QbyenYv0M/cyOGXaKGlPxgPez58ylE8kv4u9OOFGwZG/lE4hTJSsEaTp0mDx5HbglOFk1Xzt4vI1Upm0LtDLYdi991PSSfGw+9y0DYb1WzdKHNLjDCp/S1xEyjxKiWwLauiHjUNrcIweYfroNS2njKeqR+S5z9/52QFLTk95EfInt0D2uXSqKJh8w0XZXwLf07d0bV2VK5jyYzPYvy2kWyhK7ms4m+qIMA1hYhmzVDORrQSVZuDsiTfarJz22TxMiTzvo5Jz7Gzzgj2p7iSMhgXwmNXZrEXL7Lza+ljrqPpjUIjdq39E964qBGgxbi2GvabZUqQW4MLoEDtx5tc3NzVBEjdjUX+3SdziTE5/OMPtoR3EoupCmFnG2JzNNnSlDjxP2kOh8BKqUkL43W9c0FSfnO4uX5Tol8Hb2tC4mtWsqTdzP6Kdjt4AV7/Fwg8sA2njwkynU+zgn1cWpaWmCVYf9VrNlji0zI2B88se+YuuNd1VUoNDkeumLxqsJ2qiintibPSHLqfNq1676JU1TSpHDrvWxsVqvvVv9BWO16tKI6G67OhpmJp+UUX8sOf5k+Jx8+r5bUVcOXjRWw3DnZFv75KjFl9hv6XXEdTqaCCxcMoZtLuf+oVX7HwmS52dHZceyawI/n1K/rv5URHluK4GHxagIAlnLQzor7+6glf0PeT31NYqsXzikV2myU34lwm/Y6Dx7OlCA6yW5kLWpmAyTiQyk+fAzRcwktU7bfhBEpX7wTVhwW7qhBrlCXQ3rtbiVfxbkmoVPfKK8fZD9Nj7yMe7gzAkXzX7xzeu3l3n6vQr3H+osjooRsJk72DeGDwscJjaZ9nBu6WeyFxIib2iJpJzb54nadt/NMfkYdRyj0eXp0i/Xn8vK93oAleAXx9G81FXI1t7ZeZkvrT/CIAGW5JQTp6sF9FeGVTZwE/E+lX2ZbMkaq95IB1bjX59PPKkwHu6soSGbGK4Unnr89l7Jvkdi7xuPY8100WVaHr3pwUQxXU6XqY84Z+YqCGuCwC++wmxXBPHmMo8FBobDyNNNNqv02zsAyhyZ8VxIOhwNwE6ItdCNOiI2O1iAHMULxsPQReyYU8WtyllZdaEAkdgIl0Cc/wHOw5bBCmVuZHN0cmVhbQplbmRvYmoKCjIwIDAgb2JqCjw8L1R5cGUvRm9udERlc2NyaXB0b3IvRm9udE5hbWUvUVpDVkRSK0NNTUk3L0ZsYWdzIDQvRm9udEJCb3hbLTEgLTI1MCAxMTcxIDc1MF0vQXNjZW50IDY5NC9DYXBIZWlnaHQgNjgzL0Rlc2NlbnQgLTE5NC9JdGFsaWNBbmdsZSAtMTQvU3RlbVYgODEvWEhlaWdodCA0MzEvQ2hhclNldCgveSkvRm9udEZpbGUgMTkgMCBSPj4KZW5kb2JqCgoyMSAwIG9iago8PC9MZW5ndGgxIDE4MjMvTGVuZ3RoMiAxMjc1OC9MZW5ndGgzIDAvTGVuZ3RoIDEzOTA5L0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42o23BVCd27ItjAcJ7r5wd3d3d3cWFljYwj1AILgFglsguAWX4O7u7gQnuD223LP3uf9f9V5RBd/oHt2ze/boWQUVmaoGk5ilozlQ2hEEZmJjZuUHSCips7ECWFk5mFlZ2RGpqDRtwfbAv82IVNpAF1dbRxD/vwgSLkAz8JtN0gz8xlNyBAHk3ewBbBwANm5+Nh5+VlYAOysr3/8QHV34AZJm7raWACVmgLwjCOiKSCXh6OTlYmttA3475n8+AbQWdAA2Pj4exj/DAWIOQBdbCzMQQMkMbAN0eDvRwsweoOFoYQsEe/1XClpBGzDYiZ+FxcPDg9nMwZXZ0cVamI4R4GELtgGoA12BLu5AS8AfDQOUzRyAf3XGjEgF0LSxdf3LruFoBfYwcwEC3gz2thZAkOtbhBvIEugCeDscoCGnCFBxAoL+Iiv+RWAE/H03ADZmtv+k+zv6j0S2oD+DzSwsHB2czEBetiBrgJWtPRCgIq3IDPYEMwLMQJZ/EM3sXR3f4s3czWztzczfCH9WbgaQFlMDmL01+Hd7rhYutk5gV2ZXW/s/WmT5I83bLUuBLCUcHRyAILAr4h/1Sdq6AC3ert2L5a/JfgA5eoB8/gZWtiBLqz+asHRzYtEC2Tq7AeUk/6a8mRD/sVkDwQAuVlZWHj4OANAZAPS0sGH5I72mlxPwTyfbH+a3Dvx8nBydAFZvTQD9bK2Ab38QfVzN3IEAsIsb0M/n347/RohsbABLWwswwBxobQtC/Cf7mxlo9Rd+G76LrSfAgPVNe2wA1j9+/vNl9CYvS0eQvdc/9D/ny6ImJ6ahr8bwV8f/8YmLO3oCfJg4WQFM7FysALY/RMbz9uH332lUzWz/LuNfsXIgK0cA31/Vvl3T/1Ts/rcAaP9eDjrAf+dSdnxTLRBA+4/IDVm5WC3efrH9P0v9z5D/P4X/keX/JvL/XZC0m739n27aP/3/H7eZg62919+EN9G6gd8WQMnxbQ1A/5uqA/xraZWAlrZuDv/bKwc2e1sEMZC1/X+u0dZV2tYTaKlqC7aw+Ustf9m1/tgye1sQUNXR1faPZwXA9Daa/+V7Wy2LD29Ph+ubJP90Ad8257+PlAJZOFr+sWLsXNwAMxcXMy/EtyG/IS6AD9vbLloCPf8UMYCFGeQIfgsBvLXnB7BydEH8Y6LcPAAWiT9MfyIeVgCL9D+IF8Ci/B/E98Y0+we9+cz/QXwAFov/IE7ON/S2mv+w/+iMxfJfkA3AAvwP5P4DObu9zf4fAgeAxfqfhFwAFhsvJ5u3l+gfxpvN9l/wrboP/4Jv5f0r3ds+sPwr9m0BWRz/yf7mdHp7BEH2QCvwP1a2v61/Cfg/5rfCnOzdXP9pnRvA4uzmCAb+VzQH39/W/45mY3u7Gpd/wbcmXP8F33L9Q34bOQvYw/Ff7rce3f4F387w+Kewt469gS5/0f9LIhZuLm9tgP9c4jf9/A/+80kGAj2BFoiLc44WAiF2NSGtd1VihB5Mu2NC01S7Ol/pmHwWXdrcHlDefaGrzPi47nIj9mWwC21lW4r2WnSJ9NnnV1Ptu7DmRLWWR98nk3j1yd0WxIUJnL7xb7/EfvQSIxAxaYru+T47+2oHfYBugmyXp8pxduNFUc3DvPPokfH80VuyPPJpbldtr5JbAempZIopWivKMOj7DFWueeYsHjkcmIkYnh7j3BN15vpmGiN7/JVUPp4B0e84mqPAR3+DPeZ+1nu1TJPdtQOfEl8fjxj6GmNkktpH/CBZHnfep6hgpW/Bs0mwgDQbmTFlhQmN+YA9vdJWPRLU0F3tPrL4k20n5wsghIawD3Mnsbq4AcvEhVwFu7LFJBITXM3xAUh88NNKfLX1RrvTyi6FaIlv6scrYAZZz+ZXYGOnz2Ot8+rgUB/T7aeU5rvBhqHtTj+d7yK9IkTWHmz0UjYGESvL/OnEKbAl4FGoDh2gHBYa45L7F94nWLNQQZ+PF+IPBGxb31hZ9XlhuyFHiE65cnwvYvzK686Vf27MoM/be2AYBb8Gcyu/mrennJ9/w7fhkDLN+ESbmy7V+Tl3LZZGTaAGWDcTXMJyvlGOwyxZ7EWqmLDFtXDRT1nAKSfTvTtfMRhh+NHL7p4vn/lUu1yrJY4rX41s5ziSafSgLmhAPDi0h+/G8mDrprRU3Bj70FH7/rzcI1x8MGZTkyck9/NP9cDsDleVVBmxSKjC2+3ZbgRzihNNcXcyh4ZYVB1NoYft0Y7CJw/GEjlJKpqCRaVehUPBMN9FowXJgm78qkBRnM/XDYHsNW0qd7QQ7zPQVmOoMvaWoSlM2gYbtC9eCMQJNTTv8ii8NyC656dGt8mGJ7cpfezLDb9z9jQCBLiiUqHt46nJ5rcD067WhWijIl6sIhrXtDzEapeIqtNn+oDrxwMjMOIU79o4WLGEx45lAd+KaTLWFAsYsF7nErPstrwzRR9IYxuFKlwNa9awrgVDS4UMO/QgKdclRcK1jhAm9p64v2RPecrkqoH6SwnTIvB3bCup5pKyyOYnERXZIXCrDbLS0H9vFwTQkUVZhep+hLc4QI+Eh9gWnKXBGqiJTb5Qx1TlkMolC2Hir0anQd94mRBDkUetZIZd7KmRkB+DkAeXQFB3+/DAxXFXI1IEaU90T3T8mp2TnSVMvIpkKR5CkZ639iCX5kqK9bjQCKf0rXwNclQTHNsfS0FCmjT1rxfMJGFjLfaFT30VbDl0OKttuF/IWBu0OV/LCVkvPwyEr6urqkoXGcQ3FbniSf6Fg2QykgNr8OXnFa+nqiAn2yzxlRB4/E4WYgkVWYA7tanRz0XBje2Q4zFNSwIC1jYNp1YWXF4zOe1344VHMvfib0FCZbjufBZo2Ny8x6nC6U5mkG5yK9ecV3X2o/IJu2/PIpKAdZ249FJJ/l4pW4+1bCTW3Yd7HS9pzvCuGwDlku08mEbOgS90C52UqTmlp8C8ooB3NEjXyYgrM6TgYxYuoS8uk9WGSELstUyLEqFA86mbXYV1WjulgltOlZLS/vHwoayRKRF3w6AD79cMcHQw8q6fAB5fYWSemp3KOsm80jvsVn4EP5XRzdFfqYy9B897zS0hNSdshps+rYW+ELm3C7l08pWvfaxoXaQnXyEJx4IOb3j8dtPw3DobXE4tUrwdM97z+xEEp/nLoy1xr5Uyx1LZUKIx/dvYksrN3LhogQ67J+kBrzOZouVUxTah4y//HTZtlqgBcSHR6t8PJ2SsCZ16uY7e95Qn9xO3/YFUPeXtk4PYHptrm+xGjiXd64AKk2cROZthVLeDXHGHU2k4XP46NhT4hWRL+OIBL+7bjx1LawBiaeSiEDxFEJfGpQd1MdOv6arKLBnvuyK+IzyhAZqEHdqR51a5Jxvlh9o5nx0VDADKVzZoRXeLWQdsWNu6wg7qAXKl4yOHHtEGndlP5Xjfyh1WzKlYF7/C0j+Ypv1615ObuJ7IYnXdnWnfRqUqxZ7LT6ItRqchrsiyJ1iCc8qFWSKRJZa/fptpL1DhM9yBREvRvKALC5KGSyCHj4T4ChHC66O+4JiA3tmjiUu7Y6JzDmUu9hKg4OuohGSCOTedooO+/kIU34bstaN08ModWJpTbdx2awbOIoUXVWH7lcuSCSF9QZpUz+FFQpG6bYGqpDQ/IdOr/7xqAO1Q9trsPR4lHQCHgGFfcl9K3iUvXAGEWdAWj9URJ/Lb16aLg1nRGFi2xWfMPQta+36mjoHTiFPQ1iId3Q9d0qaayXzQpggzGeh5B1OIZ2Iwpqsdjo7bf/VbLacSWVP19do9OOceETjEmOD0skQQ7BJgk/jQmOiGcxEXEmXKYO9DAH8LVLudizMRtcLl5iCQXVc1c5/0xtcaxTapyh7F6tMvZSOhL9npj8aojFVi6Dd3Cvwk4LNaMoIQVK7GgXOgrS2wkNs6Gj6NgoxRocKskrVhy9jKy1s6RxJ83P0p1DpbyFBoQ5RceuNBQfpOM9f88Wv8T+2gGHtae+uKzswl86ny6FWyxoOS2eTZYcPN53szTjU23KoRf0Ap35azdkHj95ECQIKr8YeTPFfLmHQQind8J/y78vz9b/xzRIpZ3vhGMejnJS5IEQV5JcHuypI/I5VkePgo5RRtX6gTxRasCTdB9txekGHyCLHSKnWXggoIu79UR7+pxIiJ4Q25f0oMWJuyz6Per7vT252vpVkcg9BZmtgNpu7IYw1SALzgY6ex2CLYLk65IZhnEXRJIPL293iLyRbMZnNAInoxXxrkeDZtrYLZxNzKSzLfO4mNMxtw5msssJt7JDFYAMDF306VgQR4NkSSIzWrSL3kqWQk/julAgw8TobfPDzxMfS2ZBCNV7mkKkZXDhKxMYiyTVaakmXqbjfPDwNpScTe2zdgTp6yma7wujFfuTGcbi+SP1wJC5wzBngP1k5SITq2VK7neEIPsH51/Yg+N4CPocMm7Tl+OnOQsg6wfnGIj67z1Pa6rltCn8wkN6Lw9sdL+e7kftmJnEn8KT71ZqG3iNlFnO8zJTaoUU+iXILtoQdcYilKcVvECzHxQTlsJlKhCjJnWiC/42gm0T5I+oEWDmkhSvkqohBSYGOzwPKlrOvxBDKhHO1pnb41QrCvMPfLdi9mCGYJtGtHIZ9gnUwssoSUaaj2YZ7NRttgDxW2WuKYdIGjalvP1iR6cABlSVwb+SQHR+utKt8837F+tCtfGCSN6XY5CfKxy5LOPb9yUsHxgOv0dX9SA6konFXw+wxjYp3VUGp2Tg+MYntvpD3KGXadM8waj9XQvmMVPvPX/F1ylcJszKFRnW56aQyjVZZCU6+SKLVqhPDBJEO1L12E0vQlK7aaOBfRB8bKgBtLk3wl0+BvnzSoNH8oNyvwxFbCM6inzh0buBSkPw3oXfdinug5A/1aqxeI3hdE3i7ohak+/EYck4bUkso7vnqJOp9WCO6YRZWNoqmpE4bUVxMdQ5Vb3ABT5e+8Jmd0GBTR8fRQ/3zKsRkDZb6vxj/Uo5lZNuuq1+y+oNF1CZhZT2UBmYC+QMsr5uIgwdMmiyLW7OcMT6QhltcpE/soSNetL58bf0g3X+sCHfnjnJgqVuYbwS+bfdPKhWzq9XkKx3DfOlNcX2ney+NM/M32lTIA08VB7PXU9QtWV9/VJUh/HZo+tUWo+HbI9frcMR3LXNQn3msOCZ5MQoI00gfXAp5ZJ0C//viMZI8VF4S0Ye4Uau2q+tWSkmnS8KZybCadWlHQqR0GoxHVHvO9b5N/ei3vwQPzYE9yPYPVWL+3V5F7MOmmSY24d8VQWPan3+wi7jOt8HBQR1et1/Nh3bqQZvlkvPiz3xwQk5fD8Kw9FsneIcLf8exKI+iJemkY+V+EZkOllt/bO4rPHZYlIpAmZ7qTsd4fNERIJ318v7r+cFostW5mEP7R6k7VkzNQNjQH2/fonc5TrcCyDMkcFpoeJjmH+G+uxaunvbtNWUPy6VIDuDu25LHUEwsu5Tu+Eidhdh75FvHnqzpXFujTiHpr2t/FnthqjChgYYOKLd7RRBnX3sYgflJ1Sj4jbizq8AcHrwo62zr8CPfBQ7uuG52iSMUedXFjYnVxM/v2X54/THLm9TL5a7iUvlfCrO+dLmOdRbzDjGkpR60jDCh6ZLH7FrrRu5hL5rdmmnT6S5JahyhwoGRnTk23iRJOdv37PuoIWO5beStCwMAs86Ie0YXoAgi71CUZzeT3MWglqAse+afK0zZYTBmWSREZlByZIgJrsoZjbBK6bI2VUOefhdMXKxBtSlI1cVKkIB62ds4N7KnvXCGtjG9EFE46sG9Xc4r/RFCaFzBN1/GpPvO+ruCSJVrgnQY+zXvjpmv+HTCMfLWd6BGWZ+mPYClaVpkhgbFm7GU1Z6iY4v6kD5o0TedZaAJZgnHOhKCFHbcgsL2iBFuibg+Aa5QgBdE5fr7HeaogSGQncsKbTUKDoYMoX5Wt258EOAilwT6KxFEqn6y0NBTyxZ72YrqOEp6kGTiotsvi4KTMpcADqfMMjPCl615eWDOLkE0u39Bvmq7kdIvW8mvv7dnv/l0Eh6UFmCQbTtb7cnwEcU82AykHP6O3WzSdja9AdWBRIFXZeEzymC4kvjgiZ0QYqAHHdguguJpuRrdBGTFQ+6RoU6LHtPvRX8PlxcuMC6CkqidTPDshQMIHE01kBFM8iasHgRMZKsoVmLC6PklLgHiXES+MlNkd3DAoKWsXloe27Yrtgv3RcyUZcY+5S3hpYq6yMnf8Q0rFkn2PAHVyJYXg/lJa1SUwjs5qckfaO920ob9BJG9bzgJCVEOWOlnwFbY14RQG6A6C4MUMypT+SGS4rV1dwtF7ZVYuRubl1brNfzHNgJVlQZbveQ6b/NF8XOll7vMmi5Ufx3py+q/hwv5tcpniZPTyfRorJdfJdzOkujpaz35PN3UNjXo9ddHGSIEz81R2o/1ksj/PIlVkX+EHR2NITe7rIwUOwmrGLgPit+Qb3XNRaoKMVigQKRfflaAu00jYiARxpQqGaOA9E7ecDFd1XogmluNlIqSZldUGMmGligVYRHw6tHfUgaxVor2MhXOBaPhOsWw6PwHS87FbNuXwtYdyJ64wbaaRs895DtioJtutfcq9nlbtGjr2ScqDk6r8eiY05mR2YIwUtGDzS+UDtGlmw2n6ttPdw/tyXjevFUqXy+TVqy9uiFZ+Fs7dDFydXv5kz6tGs5kPhHcdxyhajOWQP8E5dHu2/LKXOT9VQnuWaStMgCpBh8TS2j9fnCfgcITL3A42ephk+MM3L3q8g7NC02X1DalitU7cFzogSJAnvLeN8TaGxaO9qAKVNbca6zmE8Cp0f22ItDpgySfc4TBNc4TcEttuz8uKrsQFWY0HP39oVGf+lX797E4T2O/AjEEzqrHdJdkysmjv9USKx5OIk/de73pO4kd5r8NhnXF9pYwbl4lM+ru7ukW2wkdUMEvUDNLLRvTI1jniBufnarZyULjJo6SwnxMcw55ViTWfDSXxQ1EvpJHomdK96YLxVJOMwo0AVyncN4/+Xy0wO3IuzmdiRRxWYh/X9dBt3coCu1Z3ui/bJs+OpzD0XNAOiSWvb/hjo5csSd6pF0CvAhLFwOjvfzGVxDFi0W01m5V8G2y22RrnM5j57vYKr7GPx6eQgB+C3qOpUGymS7njYT2YWK8SbLAF5RlJ6NwfnO8FI0eb/Npqh8al+L1ErsOizs/XhqSDMt5bcgtTa7wrzqNFL5qh7blMn3/sbL9n/FtvBlv7ZZ19wCKwg7Af0tTtThSKwBem7JgUe24l/KA2rc94iZvwlCXLa/LR1Ow8F6NwADnCoHIsAs106ueIVFZ+lwdBJ+yxGQnh+1zvPdtLRbMQXAw/u6Gq/UHRx/yIXb/eAE/UvTOdeth3qbugMNeYr6wgehQflEp7Ef1i76vIL0MYkcKN+7wnpE5MipPUA/mP0GcKpsIA09oiqi7T5LzT1fZB1xKRZvfhlj5jw6fP9AnYc89qQ5tFyuZWoQzLrT/XQrIcyRGiF79rIbR6T15ZH1mPmu3ExLnVSudMpgp2Y+o+eK02lpRNQD3Qt0INWN+8corosht1xXEWyaaN5qXPX6YZd044KwIdazK+ap1c+b+/LUhImOARPqbr+3aVKguKy4JqLioX4yE/9JH8pC7Iwg5+Vurt/33vulsY+PiBT073d4JVfnHGJPTW6/jzIwPmYqGu1PH3ZLQB5qNNso6JbnJ6+WUNHpSOJT2SSniiA9gzu2VkYuqpRbED+fcMpXvh7U0t8BhLGELXycq5u5Tc7jUaBJp66J8plvEqFFNeOce+n+6LpEOM09wc33bfB0jjWmrLKM4xMuzjuGKXybx82zBmaSx2ru2GGbyBtInqRS27v9cnKfMOkSwGi77nuAVipKVnHygtiArb0Qnq2JjuKLWGC7/O5w2++m8CN060JeVnfVOam3VR/Sa/S7hEDOD2aQ6IDRwgWeE9Q33NT0hS9ROAjSCfblW4maYYi9fMaUCRvn0w3Cd4vjWeSYQmJoBGEkhF6PA9UgdIGvZ8RJZ1m+F+Vet9nvhKk6nGMWAu4EnRGEPKcUWqMcJfYmeOfrJM1QiWj3/HIjyUq/J6mkHsor0W1IXvaVTVBNcqTLd1lt1ZZxRon3kPzeX4E81gP3dCWgCNUZm6iAbTtjjCsFpZrVPuUnZm9PcEaYeIJv+J6IL0Ge6+8ivSOw3dzlXWasEyuhabDZ05uKA2TqsmackGm9hl5oUfmlB0xhqwk0wkoSAPv2dGpHB95UYp7AkJyN+Vt0h6SNHqsMA6766Zm3OO1ilDxPoF8MnLi94ml2ksrrS/SbpnZ3QwtFaWbySNbkJdf1iIjCiq1hwatxySIWlqyP7KjfAT/6C2ySPUoPBsIR+9HKsfznSdIbnPAjb8GYfWknffxaDbjnSGFfTI4rfQa9X1oiE6qbhwXtSPT1oFGQ8edBXn1pgRw9jOM/wblnYUBU2VK9jhNu+c+5EKMlpdHZGZmkQTEBWgZXhit8nLfdUmwqD2Sh52AfqX3q6+oR/98nsUZ2s1MCMK+AOtSmYdWr93iXGcxc6dayCx9wjhx88Z/LBsWEh8ks8wXPmBQ1JOdIljcbyEF/h0j+oLNwz+acc22Zcutu/yEoFd0TFZ8YI/Iu/exahA6guJcFkbOv5Fey0uLgPx61O6WkitwcqaoFanLj8RzMelZRELhhuqjWqEE+WWFXENLr5Pd8GdPyCjS7LIu+d6Mn5YH2getq7uGJsX6/TCwy3T1tBTAqI84MruDuiwI6ISt0ONsZTJXMq79bwLBAs+UeO6pAiIWcpJEJqyhAf5ITLZASC5vQ2H7S9RR54jMhQ4CehHgxSY8OdXdQo0dlUjRyvESmRogntwelYecH9MTI1InbEvTMiq8nTiVpKc6O3oDDLVSA9iSCnFzxulDYh/3sqmxIAwumCnElRr2tvy34O2Md4k2T4cOa4KyO+nWOr3sSx08pgMIYawfbA9InWE53NJHNXyAXkP+3FrGF0JqZpsn+AEfa7TBLSqaTqpFSirG3yPuFVx/Paso8JdwmzZt1lOIEq2P59yIGZMUIG7r4BUsSLRIEAFXhmZC21hgd3TYGjU6TM3IPgh/iE8lsJBZ5lFX/VHwLoOo7nQN4LHQNt0ck0Nm0r7szkc6QDcFhPY/a8ZLX0wr0N4FyGhVas/RzEaiM54dNBLyppMp1rGS8GDR3YqkTIyINGvJ7acWncsCLFyr7LuLDc/UV1ZtFbIy7rxjeNEG9Y6DhrFXp4kAst+PTsVjqrNtKTAzMoNJ/pPrwgLX2EugZ60pivR6mXeRRWCGmOOooTe6RPdqpaNusgmvFscIF4wd48pNXD0FJTjSWrHUGWGeVKHU7aYgL2EliexAyf7WXshtHj5afEyFgg20+j4lAD2RMYU6LSK+7+gOEnMu8FZJ+UtoZAHv/23XBdxE/UyjMAmoiNVxaBQj4rmt6/X15rq+Vn07njY7rZsCgcTw1vuu1KumYxuGpNQ+Vp6dSG/qMwRYHVr6vnoWXYz+SMinK0+0jjoLhAEDTL+dtzmCREJ92UbmdODyviGSA/xo3Pa0oEoOR3ew6jxyxX1tnXD8fX6lgrIuLt0NZjcnqqbWgIloFEs3u/1UVWPO2cuYogIwdY+LrDprBNryXWVo7Hn0DnM+IsVxLJf+uABXE2VRmxyTWyMDH26ELBoDGZTl31RwACOcbC460SDWUJ7dLjHKqhsHK0s0meEoRhD3rIARVu58jhuooKwJjLhIWCyUbqD8LxoIprrMaQ5k2W1XrXrNlhPaddic10zWCdoUtSfiblJ5370YAJKL3jQu6Yh0gi2ZZDhLCIczYv4E2bpmrG4L9Nd9lMsh2/UhBoqXCGX1c4mjzcpt6b1rAMZEp4Jxt0KtrKCVzUwR6h258pmdpScGOX7JhRjDsZYiimW16a7zM/78Cp7dltUre5w1bMIyOW6YZbpYzvhsXCcEkNTVeQCt8zwIWx1HlIij+59eoOAOIZm+V5GYv027tiqeOI62xayEbz7lJlvSkVdFTC/sOhPqAQRLewpHWpoj9gGSz+HaNOCEwrEF5Z1Wvuj8O3m1SPzkcN75Ts+BFlgjdHzX646KKsWP0Tc+G6/fORXFslilUsblNMnse+ffF3pEDwmYJeD/PTy+ZXJUi7LUWxDijkvXobUbpMxHa8C0wWAnwhMIvVQiao+99P8Wh+hC21V6nBIvU+j1tDA+6mzg0+FQJskN7SXgDqPcAs2pZ6V4qF9p4HA53BE3YouW/5oCnWaJTc1ozGmULrfsg0Qnn8Gp8styQjYlPp63p5f3wVJGEITgo5GnktmmxDg4HDZzIOTSrt/bk1x8fRc74Fy9pr5wOD3IUaF14m+8pCip3i+cuhUdgFqUiWFyZ9MHzcxcqH0+5QX4VxOzhTPYhdc8+nNngQy2Tl5g6+sZsXxfejpQ9bhcBrl+pz711HM7zMynCQ3lt2LcOI+oy4TIhSGsHu+543myTVr4RCk0Jslj7K1oigtZ5bcJfl96iCH+kFYWO9MhXO5gOGGTvL3JtvWqaZE+0x3l+4MbWrdN4tp+zyfhyRW5wieEe0JWsUviPkIOEeh7aSUODRTQh3jB7YRIxXULeAN2SBVfHd/JO322CQJJuaRlwPvYOYJivz5A+c1gk3Z1CGxWRtLp+iUoHUYyQ2sdXjjLezatjjwj/zGFw4+BX+tUkLdz1xkhRb0pe8rowQZb7lLk0HiXgKvJDPlA7rR0PxNw9C/Gc3M1Po+st6L/+j7EFJjhz2f5lP/4SVW/wYT70eQhX6VK/Rq8I8vjWVARowiHBOrnsav6JdbDk5WETYPa+sZkoc1JSVnDjpQx9K9or8jvTd0zOo4lPtJbclCpt51ZrJtdYcA2GVzWxdof/26OdWdxYBDQwVJyyFCXlvfJ0G0xulYldecUR59rE8388lK13dvXPoalz6auAo3/Ylo8TtM5Ja+m6K0y4bcDTELflGLb0wDyppqeAAqA5QmFzzdsS+D8vIMFOhZQEfa8XooNmI5vj8Z25uWKVJpDD7xjK+9A5Sn7qhH1OP9wssjW0HaWZgb8CUwqQXOwz4blsneavoB+Gk433b3sbd/Fm2wjhX7EJtfuxQ+8kiud8LBIbihWrfKqKCPOThRkdDCrE/yliDbT81ocYmCxGOM+y5aSn/pIRbsdG8UC+NvzrhKoUFV5UQY0WPEWv56Y/TAPXThy457slwDyhEkDhNB9B57eNoYcGdd0KbAHxNOSqqAk/lFAd6QyasQkAHz/9pyWvLOdSj3Fq6g65bWd3UR/ynTdYbzkQF5ilVhkoL9s1C77WoOKiHzZfuYMjMG/0B2MhPzBYbkyDaA7elhyzVyKHA1vxadsWrGc0KE+7JLoSj5mUtbzlW88+Uwtqx9m9ufLwVvqv28E1nKbXeY7vEBiUAjmyddQlykKNAG30PQ9DJZzCDhSE7mklSQ67OK3yjscW/DCHfdZU6Ypf+7a+ot+PVDJTMRZdk6UbMI2A0d4HsIggamefuoRcUdq84nYX0Ug35/OKfezY3ctML3tS4xO3rDj7S21c0ZCIKXXeSrw6GTWbiZe6d7IT/5PYeVxD7EE+8HaQtTd4TybvCuxtxTcl4uKq1f5PcUHoYef8vmysK+gPcWQHNwTjeb98g6maxWLTydBdXt6qSfcNSMO7KoKoIdAok+bIxUEkVD0teMKgfwa4yGT6gt8B5PK40fwmjNP700xAofOAua76CuKA1Pc2VfzOWvEXz7Kva5tcBUJ9uSe6RbEibRignTlbtw6HjZyCzla5KWF8AlJCbAVodztt7zTrYO0vLcJ8P1wQIPOpb24+nv+q8tuKUKSsYzQfyslmYyPKgnWah0frZRQx+xm2kIEGJDUPcRcL48rU54vjKzpfF8WGE68H03j2gLHOsXrkpenGz0ju4nnouo0Gsa57iAqbAak3TOLyteg5Kp++rsGFKiszbRqgPt9xMi6rxv6ctYYsEGm8AugmbUO18gIpSdkh56dRwf/WIMQguwZMddNyaFirS2F8r+LGOTm8HOtmq7fwuAfO2TItthDzTWSRW4n94IiyncfAmLx/p5SM1wfHFXOeWsg1ERosvhKoC7aDGifLmmlyopquDRcWsvLEB5J1rCLRgV/ZGj7yOg+0l9cztXd8hY4KjvBZEWM1/X8fn3Hi7AYuOpoXNST6q0qYIboSoQffhBGq4tef5baCU6Fq6wWb4p7Gaaxa/SBtrdI/1wBDO3y/uZchQREX7F4LPnnoyjXygN8E8Mxo1ZWZDxFTcJUYpfwmmEvk8Q7nngNQtgVi50JN18xne5r0S2O2H+cZTOpyY5WHFSGVVNAF1VDZm+DiB5mS/DPZFDCRktJvWnxIpv+1lpfo7C3euz68GULRrUWhj8enxq4FOPy2PRtTchK0QMfZg/qif0fH6Q528anQ/Su6wYwW9fxrz0D8iNdADt7E7mA6jr5kh6LKQ2OFrhkOjJK8fkC1xnTKgZ/CE8vJV+EhPxh+1x+DzJ8H4fgolHgIaQdbbqQYUQpaeCzzC0OMHasVEcaidUFdw8nfaQ8leK0Z168LlCCZsl78GsGJFpOaBJ5s2hGJM2ebbMEAxtZhuZnuBzZOro8uBZuiljFatlmKd+pdNzvX1g7oisZI5GTaPcZ8cazuLEZTC57avRk/El+JiECbfXcZF7CDVTNHzxojwgvjwzoonlpZSE9IXxNRBlZ10xfip8Eu4IM4ZPe8Bzj/Cxzt9kwNX5HmP6e5O5q9FThTSOmWYiX92XZ5K0Cmt+ug5PF3BJPpme1ks/9U9cyg0p6MirXHUBtU8y85i87vjtyu4bn/YPUPrML8lr2e+j+LdPUE/DpC4/JmsXFNJ+knLGWAnxl4LDF6roENKofbkl30C+AdSm8T5JIn72/JhCTCLWd3eELHkfpxS/hWY3y4YvZn5T2yI1Gb6ifLKSaFjK8HhOJixf4SbM+Z2yvPZ7S5JgsqI0rca+f3Oio0k7tO3+ckzroR2QpOs9dW0amGS7lJBhURq4L9J+VpXvLSgPvmL+tvZLqnmzuLVS0FoHnEOxwOnNYrCZZAyibGw1hV6ANjdh7dQRahXCq4QfjcNjibplKC0lst6ynjUpY+t/IZ3qW0uchRPxC9u71XOYxqKdicc6BvT054TTbqBm3oOODdMkmfaVpGduR2LkBZ9vJCFcQUyMS6jm5MeR/bul0Kl62lXak21iJJkWKa6Biwa9QsxxPlP7V4tGoD6pa+Va/9pj7x0LMBFpumeS9rZRnLWC63pXGQv2PWO7sKnT/RP8YlTlILNNfaKwhuwPdGY0UrVGqgqt6BstlZBpCL/vKkbIa1LAKpkKx/19LDkej2nnn9wY6pfiLV106LTFZYQo768HJK++7RD12PNxMZcwRpA6mwVu4ziJexonBl4bNs8xkOZBbbI5uutBaCQT1lAZ7B6a4ipgr5B6EtQgUopVsYIKtYUNlxgzxItI5ksHe1SrGaH1vJkNJvZtsDA7j6ffnmZLfASk71+72bXTIrK10malLJE63wl8gYkf3FP1ywrgFUBOzzNkTBjYgXTqM7ArtwvDK9eIAPDGzQ7YVLKj4+x4TLbJjRovROQxpXAFqPZuXGcFnl12+SNaztu2dNb9ONeeML2sgJnT9+FedoULcqmyx3US7aH4GNalAlTwzTLOzEdFJg7HzUavHirNSprwVRUB3S41x80/3rxEiDK5b5+VaO0GwEJBJg/kBnglHo4HRGOhRb2Lg+Fu8sWfMN2kv1v7AcyJV18tt/MRmM0k73XKX/Aq3MBT4YnuuTn1KA7gP1bg9rvsRuFj7K+LZEQMEpFc6Kw8qrfSynBuwFlyysBCF+MLSvCS3KWDUuu6TGoUduZ8IlUv5bOctI7YZ0NnBQ4GHx/WAyG1W1XzT2xj7HimJhDOqRiUCIaXtKBI7Pm8f5h6hckmGk0olGHcDRAY83On3DEFrM665mFTrwwKFRL5rDedjo4MovPfrHF6HCv22DBGnCesKJ9jYgdIIoT9TvzCZslhTjR8I6wqLXWoV01rwyP0YyEgM9IFGwtZIQvCl6UJKgaljkavotoTBHGSYdktZMk3gJZuI/UwVq+W5XplereNWc1vAXewgcFtWG9P5wQFlRzLAKMg4rIaYptFirGLuPAZeZazRpmA7vdjKGN9vvZSTir/dLRwhgYUWJ3z4Mb76QMNffvisZdlu9/aQhOfFdPtzcftgufUi5eO+z164iV6x9rqEsNArusA1xoDqcQTwyl8+mcRVVS3wvlX9V/aznQ+q4HKWvbuGf6hVF0d15U+R37cpR31ufAUKArZjAkSWkGu5Nt3Z7w5G7Yt4m5u6FQ/gccK5ldBDM2CRTh9R1ZY/KvwFO4Xffkpl+ONkI/GjkuAPR9MbyszWk3MA835TtWd9Kr3VU+Tl1Iqxmti3pEb5quC2bAis18Csdzf3T5wXS8mCP/6JmW0S0VKmGLuh0a8StYmITIU6jDrWosHA+os/dGeUsK1pwuFYGfsNeBK8mppjLCC9MJzAykd+SESNRNLjuTEfuJ+Kqp1S6PeEs4mqyceo8/27s5kRfbSWfdLnsMhAjnQIgdXlnPDcTMl+fRDkQBGA6pYxh1HrIBJmnyZ8Ngrzw6UFQ6r36kv97RsdN15xjuyoo+fPZOscmJgZTC5lEchSxGMOSQQoRHhYcJmnD18WHT4zRajCrpBWDGp/cGDUplT4Gmc6Q8V4QkS7oN52ZKPU5IV5i+EXk8mjyg/H1KCsXd4y/w7slt8cLqKugjXMpDKHmAZzXudrJ4DBSG812Jip/GASkkzlnAP4xkWtX3i3mq/uY9YxMofUdQDuhqnKQ3rIgLVvr/cb0p4s8Qp2oave7+3Rd6uuGBa1yFoq79wxdP1Oj4eryNgxaGsNPnENNEStPw7AEVEfurRH3kiTE+manpMYLOw91DrCW4MuZ4wdZk2TGIj9mv7iACGs5ZhG2MxY1CDyi1OtLgpOIzMrDnRp2aFESvoQzGiAVyn8mHHRfxGP6PZJ0qnhdshh/m64BUnrVhNpTZ8kWllVEj9XKMz7qcJYXsOE58irOVZNNuqd5SYqrvO0EariVH8CPpBKzdFCoE4Lh9+i6K6V3a98A+L13/wfX7faLUgPvI1Gqe5xZKVWueqcXORooavIlDHr/lzYlE+AxH8pzu5R60FxcWoowq7nQFGvKasaGM25R7xGYVbX8R0x/bQlyWLaQe5EFO0R/GugS7W9yesF+MMLogHi4Sf+2kFX5/nu/NchA/X8uL5fAsIhTP9eh59lXdJkH2Nx9B3YGPgl3L2aUm7318MQEWXIrXMpTsXYu7eeQbCjqY9MPei+/LnwCsIyQIVXR7H0FyIGFLSiykEKza+8OgclB8hJ2QYVqd6Kfy+19Qmoox2n0aA96ANPHuoUxze4EdwmIGR6mLSbNpvMcaTqR1hVa+FQGTW5KGM+X1z6DvneOHjk7ROPh+jWkPvK5ZpeJ1rAge95A7Z2V/HBOCkdf5aA3CU6qAXTbuA9QddpgzlK4F46TkR6moij4vqzw3Fikjb2n91Mu3zu+e0EqE2KNbXsaxAYMlOx+MbsG9IzHcJquYdKSTDLcOYYP9mQjPPdmpWhatHkrjceHe9X9kiyNy9/fS0DlBbK1emM4KBWLjb1eK5UHhJmcdjD2F+TekVbrFRVzXQ/f0E1phST4pl9arwTaxdGOBnqu5HwPB09khhIPGfDxlSs6PWj2fvlX8fFibmv994H2hH8s5Sqnfh6SR/ovMeGREWi2l6fg0CTvWDEUhO0WVHQil0d2X53K7gB+fOwj72XWQbOZhck2vq/hTvhup7Ied4dL3Mnf94GKYwGuGSQe9Ye2PrjIdAtTXBT9sIFQQvFgs1GUXBAnsh6odGw03J+UbnrzAv6q/hNaccKc4Re+TCAwM6dmiTKn21fK+B5kY/GS1IOyXvAkPtv4aui/x0Y9I6xzBy3nKJoI18lkzBT8+Y5Y45y3L2Olnk3JDTM1nauPbRwD9txh5/mE1wUymSph+bTFAqyD1GRjGLGhgdy43MTQgjFUclklcvH1Gr6/udpFDdX9mv2cgz6+cvpOiyFXv4iUy3LXvqC6mApCZ8yw3DYwypKSXjxFVsHk8t/AGjm/TiZ0gTy9xqJH1/3P54rSKYd4g+1DVMM9BVx2sNSzIM75sNbHhndVt9YrC7Xvx1O9vtfsrCWcQSdonENjlv7cTVEQhNzerfDJ310hh3clmvuKmiMLgssJdJXcqZYZq/9teBFVnAtIN9o66yI9oiDVOyVgdxz94whhLkxsV5rtxeD4IFa+BfJ4hxxOcjrgdOs57Ng+F8Vx0DBNBUeSfvCcKrPIOyBuiW3E2pP4mqm69wWOSyoCtvC51Kv0NSfj/FGSf6UVwM/6oiMbK35sLqG0EEVtEvXzpzHFDiWQ/OLBHGsytvbQrCCavVWqoQ4qtgcl13ec5g6Kej7hG+Y/I4AShmVk/GU9UAvt8euiGW82Ybj1fvs9FNNuYfEW7sfDfjeiIwqzyTkjDJPWWrVSrALO1puPSLLIZa0qP+NI1bUwwR6zhWfghZWfURhnXLjQWtyVllfSbCiQmana7BV67jsLvm+sASSto2Uab0BlN8fv4jmlMvtq7YyDIPuFOSLYSGO4tk89/v5pEeoIW4u6ed27/jiF+dXRnNBucXGNqmXfBTTSqPmGh8lg3THYY3Z81aU0sN5pGHVDuYkGNpNLmO8UCkfR/589x0KcVpqKxDLOawfhotuBvgNmXNNACD64cF7IHZJ92AwHNe/45couNG8r6mCfowpE6LpTBZX2qzafQH0ARIjwZ56uACrGY830MFDOFwQ2WQOIwrl/ZBKM2+R9j8gp67VxXjKrwY1EcsvRj31PN7jlG8VmOgmrVg9HX88lYY4YF3v3FnqyslYe9Itu8rtVgUSnw5AElcajuJE1cUgz/9pB+s6J7Yfju4nvquMm0BcvoT9eNy3HeX9GC5tRCTtX4VBKcRBBMk+2M5Mb7rAUS5Ymr6kBgThu5GVbxPwWeWiHsH484ofBEMFLWXqfCrmjzrxKo6ZXpXS+/sn3LXRLxHD4W02IdEDinsLnK49w8+q2AvEjS1vNclVNomAiAml+5Gb9om4SLiJeoURmYa+E17/2S9TbzQMMloICRYX1V2bt0BhjeUE/S/vvTQve9r2laxXCulhfs6/c3j4o7O/EVy78fOklsmu6fi1Wb7KJNx+qLgSbhohk26zjie+u4l0p3b1MO+VCxu6QHbw038A+Yn72pagT1BHhuTtacBoIHCtYjFt6jpx+vISfA1l+yIl+JALoRGLfMhTPaFzGUdn5qqHZm5xayxlp0fSqznueyHDNbWynT8VTNzdowIY4EIAf/2xcsZi9WcrBdIcwGhsVKfj99eH8chJ8qW61CzJs7isXkduSmP4F+VG7adtBr14zlodRhzg++Upe6TcYsu94z8JfOA4o5GSy7YsA4JAruHdCrf9wh8VEXM1F1kIKa2nvz80Zq3v8/wkT2yqytTxQD2oosynTXHB9wgfwpmLlcaG18ieSzggGntdTvSc/TbTfXPmQJ1dJ8R3ZmCGPFhH0eHskohXmZWxw6QPAvGgsVk8nLkxW/lGD8SJ0ICtypyNbe7A3N5QPEtGIglKJWKNQuGw6sf2lEysq6OKkdG5boFBlx2q+8+CH/9ra6Lq5bRFdq2b/HbL6f0GU+ubseE1k/bXNSHzwUFet83ZKw7Djd0o0y5zlqYB63BdTCVf+OObtPdFE/YposaDgkWd/UmP/Bz5CglP+gWEu31sGAtSrRQ5guG/jt1mZnzqjmb525WmbrfEVQ51x2PYxgq1jbOecBTwS8DB1pMqZ5CxZ8NQdpZWb+SUD6/ttB1xi1KWCQZXu9rRNzsk0ht0KAzrIRfqercYdh/TkmHRxnwLSEjb2yPZLjW/xnTI0G2x9wNjxSr9xupWrYp7mxO4MSt+xHtt3STWR95Oj+Hxi2sumIhSslqYQUxN1JQTFvkeufHXoTiryKNeamadvmPyWcwy89zvcVZ64KGe9heUrHxoyLBjXMmMO3iTzF6WTWQpu+vF8WsawMN5NAgNL3j3Rf12NhWGq6U0lKpOzu/55Wjfyc8hm/jVxdpC9gqv4XKoWFD1M08s4s42ldn1jqcL1+XLJ+fa4J92qnHjn0QvaQrPpWYVPNzw1VCXKa44UMEjRJf5GzSYhsS6tH3fTDXYHB4dbUqSAITFmfHDd98FF/GP0v3FY6VsOqrf0Ab3YHrzfCO28Z/imn4ICdDprMQZ9rIWLKAPTxZQ2aWd2VQP0aJRM15a2gSzBANx7C12cEfWDWSW0J/oqBc0sx9YeA6YAAhgKj2ivc+eheCNurFlmvdffDaptd+9x09u1sVEZgt5Rjul5BHjX7iYpA+sRVd9De810LpDh4tWZfXsiKZQXnKKtGSPb6s0jm65DvHiAYaO2EL6IBKCOofEFRR8ru+5KrZ4wL7ebSKUQGjyhqEydeYOTElrosz8Pi3x1suXyGnkn2P1JbcDyw+aT5hA0PGmQMmMetaUow/b5BZlM660TmIUtQ2/x/BzUj7CmVuZHN0cmVhbQplbmRvYmoKCjIyIDAgb2JqCjw8L1R5cGUvRm9udERlc2NyaXB0b3IvRm9udE5hbWUvUUlBU1pRK0NNUjEwL0ZsYWdzIDQvRm9udEJCb3hbLTQwIC0yNTAgMTAwOSA3NTBdL0FzY2VudCA2OTQvQ2FwSGVpZ2h0IDY4My9EZXNjZW50IC0xOTQvSXRhbGljQW5nbGUgMC9TdGVtViA2OS9YSGVpZ2h0IDQzMS9DaGFyU2V0KC9DL0YvTi9hL2IvYy9jb21tYS9kL2UvZXF1YWwvZy9oeXBoZW4vaS9rL2wvbi9vL3BhcmVubGVmdC9wYXJlbnJpZ2h0L3BsdXMvcXVvdGVsZWZ0L3F1b3RlcmlnaHQvci9zL3QvdHdvL3Uvdy96ZXJvKS9Gb250RmlsZSAyMSAwIFI+PgplbmRvYmoKCjIzIDAgb2JqCjw8L0xlbmd0aDEgMTQwMS9MZW5ndGgyIDYwNDIvTGVuZ3RoMyAwL0xlbmd0aCA3MDA2L0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42o14BzRc7dq26BE1gqgZotcZovdOtNGJOsYMw5gRMzpRo0UXogvRSRAluujRuxAJ0aJFCYIIyTfJm/ec857/X+v71qy1Zz/3fd3tea5rz6zNxQ42FlJ2RDvANNAorBBIGCgDUNUztgQBAUCgmDAQKErGxWWCwCJhf9vJuMxgHhgEGiXzHwhVDxgEi7OpQbA4oB4aBbjriQSAxAAgCRmQpAwQCBAFAqX/BqI9ZABqEC+EI0BPGHAXjYJhyLhU0e6+HggnZyyuzt+3AF4oHwAkLS0p+DscoOwG80BAISiAHgTrDHPDVYRCkABjNBQBw/r+IwWvnDMW6y4jIuLt7S0MccMIoz2cFPgEAd4IrDPACIaBeXjBHAG/RgboQ9xgf0YTJuMCmDgjMH85jNFwrDfEAwbAGZAIKAyFwYV4ohxhHgBcdYCxti7AwB2G+gus+xdAEPBncwAgYdC/0v2J/pUIgfodDIFC0W7uEJQvAuUEgCOQMICBhq4w1gcrCICgHH8BIUgMGhcP8YIgkBAHHOB36xCAhrIhAIKb8M98GKgHwh2LEcYgkL9mFPmVBrfN6ihHVbSbGwyFxZD96k8N4QGD4vbdV+TP4bqi0N4o/79XcATKEf5rDEdPdxFTFOK+J0xb7Q8GZyL7t80JhgWIA6UlJMRBANh9AMwH6izyq4CJrzvst/O3GTdDoL872h0Ax40BC0TAYbgvMn8MxAsGwHp4wgL9/9PxzxUZCARwRECxAAeYEwJF9u/sODMM/tcad/4eCB+AFRBHPxAA+OvzrzsbHMMc0Sik77/hv49YRNXc3MQULPBn5H85VVTQPgB/IVFpgJC0BBAAAoEkAJKS4oDAf+YBQxB/+viPWG0UHA2Q/qtd3D793bLXHw7w/hEIH+CfufTROObCALz/Jro1UBwIxV1A/2e6/w75/7H8V5b/lej/3ZGGJxL528/7F+D/8UPcEEjfPwgccz2xOBXooXFaQP031Bz2l3T1YI4IT7f/9mpjITg1KKOccIwWAt0RBt75y47AaCB8YI5gBBbq/Bdr/rKb/tIbEoGCgdEYxK8nDC4KCPwvH05kUFfcUwSDo+ZvFwynoX/WVUdB0Y6/xCYqLgGAeHhAfMlwZ41biQP8QThVOsJ8fpMZICKMQmNxIQDcjIEAONqD7NfBiokCRHBRaG8kDI795fptBQJE3BAoT8xvwz/qQT09PHDi+00MXDN/r38rHQbzgUHJ5mfRUNlwl5fhrWfVyszeQusjxEvL7dGJlr1R4ljut0/9nXVJMjUn76vYOz6/OfQEPFcWMTEbwMy/dzbqY92ZHbKYppWHxVPvXVU5EMof+HbU6QRjc0QzOY1JPolepdlPMmSlsrcitOJJMZ+9eCjZJbbx4lPhZTtm4570DsANUHxCzZ7GjI1Tzm3fwX9kyc65jB20tKaOv+5hle5pom06don/CBF/qtIay/jNd9UqPmPww4c32X29T8QOC3S6qySeR9Ay3vC7y547lNzPSJeUffcVBo9bRfxEtSw1kYOxyC2Ce5HAXnLx+1RBX0tSv5hnvZO+asg1gwfDDZ61aPFZ+dyuxUMWu7Usk28iFDcbk6OdBaufcKpwVTninQym71eJIfO6CenZAMS17Qs/9abQJaWnlrr47xpiSR6Eidl+Gr95Zh+XmQQStUmVR0r1f3ymIgFGsrkPwc3fXcilAmiZuGjB2gT67C7LnkO3BYW/PutFVFjcSkEdbza+aR3sijxAc+6x0k2GJFq0Ze70bCe90hY/maYx41eXwNbovEV32PEl5CZMBRnl5RKCW9o1Ze8pSc+NcySYiVHlm9C8NdHdwEvXv2op81A5eIqaktZ1r4z1xbtKieGn8qGN8qlSwcAHC+MHV9QMPydQ16xeM+z6RmSb6OBxICJKaquT137P2b5En+cu9k4iomEn8WJTxXIy5EBydjFP5YdpkB1t6QPrPHjc9/ivG8f1+3kWyrVR95DRjzsmg1btng2ztt3ri2dJfz3+ubuNJ3XDR6v+/ITwgNZhUFOmnyO8CFnRkCDerPqhjy7a1KoPott63Ejq0TUMbzj+Rg6yOpW9sxbibrtZr7/v/r38vooa4DoVz9xDabHV53rB3NL+hORRZkFqFF+lrlNAxutDRWdRwnjO8AayNaSizjv6gh0rzkeNMTS155ruByfdLB9om2tYRO72+0FPCYpCNaS+e4HF3n8UsTCQeOOrjO6o2Xuws2Fjfp9ZLVSviTjK8s5SyVFEI02BZcLMcIEFWP1A91J01U606drzpjK0Vqo/GYjBZ5LxxsA2T0erJ2NAC5ri7OTcXP8Wq1Gm+uPD4t2MpoQp/OPv3I9X05G3NH7SWwfp0uAbOYNesGnkOnwpfj4WKBCJpFA9swEUFy108ZKGs3jBZ9BhAvCxm9l6O7u3agNPkYosUP7FKI6957ZBRpWfbMrdItaopxEl4TrlBgOT8eza12JfTr38vnHzqxHNDzvslLlsRsfwl/R+TyXe2+VY/uES2qlrpk+z/QNWv341DISIrWuUIglS24+kfAgrmUkKJ7HJWubKpV3PV2Rr2d+ZLY7/oFBtHrwRZoaufbLg1Zz7OVmxq/bxLdnH2TXyQ+8VBMP7Vksq2q05Kr41pGYyTBjtEnkZqabOFRFmG6o5kzFSTinZCeb20w9lU7W5XqePc4AjN5S1z8C2+OW1Gd7zmbTFjtoDWn6uvNBTsTCf74lsMQMhn40HTcHatXB/ndGyEQzTQ/K9Ecuq1vxdkc9enQljVvlN3+fYGnW5DPKVdjK0wiJSrsstgnni7z4bWgjySpoR7OOs43A2LdFTPK7dUVxOceefDZf0onzLIL8ABmECVzWpUpQK9ZPFbQ/EUqNN1mul4M0RACZfw+LIsCYDvvA6ikqg5NSnSS7Kh1fDNckLz5ON/J7RHh3Bt/wjx21p1JzfH8utFfhnZKyopA5tzwaev+6bz8WIwnlUj3wXV6rt+l9MvVCygbJJpdSgmCTv84QxfrqiE3Vxx9VAnmH3R4XSrCkgufQ9UvADGK3+aJHhkyv+dAY/pSTpfQKrd+zEn0/PX43ObU5Zo1tCbd9yvuKOXT86tKGRQqYmrL3CNHGHh3eKJK6s2PJlspus9wRDKI7wlyv35sdrl+lD2ow58mUTNlMvPG3xjKPJlMUPMyRU5GkWCrxQCxkmq6TPMxJqxlo5Hk6cltHaiBCPCAUF+kdN9A0o5U2lCTxiyURQXrksg0JG3VEDC6t1Ux9n/Msp9MtC8faduTDfyrcOcgF4TW+X9QvpQ9fWK83erY32h3VAyjJtjjcVZwTJ8XcPHbD5yJR0Z2qJpJ8GUV5ddiXERlvDtdKJxgBbAvAuu6H76dXORObTJg+J09ZO2aLae2mbHX1rXnNs0q7kvjTx9PVayb7uskxqA29XASkujLug7HGZA6Nwm8oPWQ5+mqqKHFyhAbAPRd7smzVpIxJxQ0VG4E3OT6+aZH62TfMNtMWr357bLHLkqexe72AWamogfyOKJ8LcC+D6Eh8YOd/BHDv3noHcbehh1b0Lpp4CXUqpsdfH83HQoaP6MfSNefzKmCxdraLpZp33x0cNuXzpX0nu5wq8XYBa+qb2jrQU5WVdIaO10xuOvbQXUqolAV43I75k5jnOHqsZPynDGpcOFFI5Kn6osaAjpOUNswx72HPqqm9eb/l6V2NOblMlsDZty7V2oZtkyWiX993MmK3oHBc1EF/54vKzW3gLXuwo1RYywC0MPfXmc9kdRsP1Zrrn4fm+ObQBKQnvvG5d3xd4kFiYx9bzWL0eGj/9cp4gWa9v563I8xNW+h3s3EOCCy1YZsQ8WLVuy0t/b4NDUyKQvPgzxR5JXq5NPShfmSHxdexjgYCNat61JrOZL0sxmqWVSMlQHTiz+Q2/RY88u13575oc/jzld4YiLPQAxbwdN7tTayL2Gf1E3tc2zPtN6nbfCw9oila7wtZ3R4jq2zJQfde9IYbpnvF545Fy/3JkJWlU7ZtlxrlG5bXHTZ1tWGR7zajWZb4VnkmID2ZUr4D1ITiav+4pDFaWUAwvbsfzdn0XeZPtTAvEJ0lamoDgiBvv3g/lBLLO/Qipq+g2U0R0XL8e7Xe0IdXXG9BRpOD408XXJDMupLvezK3/05Nlxvslw06qg4xJR0n7c6+bM69I+xG1rJtEqS4GifRgHzQn9aZHEJWgWfl3n0jH9nmMzWg/yke7VJnu6pzQ+rjkNwtfFSQeORNwAFXPvvxC3q2dhVTT3Te8RyAWctoAFkKhj1sP23jkxi3blohhQp9BImeUsXmSIbH86uK3nzhGfilEx6f526iWK3D+INC46ufEPh7F/wzdjDdF5BIzLaT/PWR3pGjkOfpQKqFXx9vQ6UOcezY/yJaWMlR4NiYqZ7Rrp4Zc1yz6wfGbnxdnbhQ3kJBRChuuG5+FOYrtE1vK7F4YvkKwBDGtub8+6Y1nGyQhwSTji/sKW4QlELBMjrzg+/KJpcAkfxev+MQRpJNX4FpRMRzj8iGoooCUGQX0YyjXfMG6fOt+9KuEHUiZueEWl1/41M27L5vmLAqZCrrEsNq+wJ72Z8KEU7eje61SbheyhqndVp8OTXZ3r9Lgryj9WrOY7rXvYTDlOIqSRF0rpJkkgEuH8Vcxf7aQ+dq+odDfminDP7KoywrHH4mj65ZO5oYku8gKsPrTtQAjr/KNv1NOduqu1uHfDrHQ6cJfMGvg8Zu/dzSszPqO7ypq72TsWu2MSetjmu6MxAXd0SXKuzv7h1u2aojSS6viAxmMXM77RtEu9i83Fk0jzwOy8NJuE38TNwvfgU+YxmzfB4cEnl5MBsj/jM3E/Z/pEjcIAHcTb2Iypb+UsMUHrq2n8JOxCji5KwcLVgt2yge4VIiK06gOhEpmfZ0hT95Pq6p/MsdCHSS8JaJRysw80DQELEjDGmUvN8fgC3OweMPInZkYOyjBwU9ha7Nu7od7dyPRdUrVNStpIT/tDraVJ4PESlYM6bY6VNjMjh9wHkirFzTTJ7rIkz2yUQRUbOb4exNV2VGJi50Waew5TXXU3slRydhcy/qsXFpxfbnt/suxgyGqW0uvFyfu1JPEsEUWJo7vgV6A4Tenr1YeCc4a9+ZJHK+2ErE89SgssUr60Oll/5G8tb7mexzDcUeQz6km58885vCi7THhwPym0WvDj1+VMrwfa9cYyXgMra7JTAqVv/m8E87OcOUW/1BbuTCxyIY3cU+0kVQzr9L8/KNMPwpoY5tStz63ttuT3A/PFCzY37ilwr4MKo0i6SnNf3JMmqlqbZ7lSE27MswkEcn5nmXre1JAHpNsF5W29QoX9+3jY/XrinqikKIvqRtdlbVtIvkY9M6oghqMCz79tEybR9UzhcYRE2ckzHCX8tvGs/Yn8VxAlfCoVm5ecL8aCJBbGu0tfHLazjbBtFt9/ef2fLnAYyjl8+AGufwHvjxunzFyGaZbIdLu7Hbt+CWGre++rvEU62dp1u0vE6UrUOL3lo68drGpu446ErNQuJvvpzivthssr3/28EqbA4qCNc7/PoODJa8Cx7wU/+aj9oER11JfsTP0SswZ3ntA8FG01moXRYKa90rTmU1hMHkbcyLdjuNTf/VkusGi7kfeIfOMyxk0wpx0ZssbzkzY7BM/V05XV06bOztVdIQHUHhj/nkVdYsqoXma0uHQ0XexnJMn7reQhlVPUww/ZUQTOiyX0om4H12pP3rKYpJyv11jQorQ7seMMk1yB2qH1nCa5GeBm068P7efrNxMRy5xiNvhqhVCcniMvm4n+9kXHn76y/sWwSZXUIdYOeaZWNdDEVLFMlE3Rr7coTH4cVPVburySsGZ723e1Sp7rnf+5czUJeythmzZIkBuzJJP0zF8Q6VCoHLG49G++tK+FXbinZOBDkuc4TPOc86X8jeYPoa+zVbcdlQSg/JR24iVM6VRbs+wzOBx8esFarF0M2VsFeXKqjo+W04nGvBwb2OsBt1wuczToGGi7oiCPsSwYlN3NXlOV1St05rd+Qif850Q/8i2u5VJU8BXM8PbdJ5VVH9NT6+ZrL42nOJ+nxd3Q9XgqerSupg+XoPuPUyttwnY0z+JHtPaPFZ9Bs59JCCU87ws3/TRkxqNr6ZnYI4WndGICIGK1knLdpgkrSKwgjf1hBThyMycqVsn6+RKIt15nddSWygxFmn/4uuerP0M3cYn5XFSLZm6F0+XLbVYHUAp9SstWv3+jd5h/Ua2lhOZjJSCZE85NUqn07TU5g/NmBTdD0l8J5403QAvcmnIt4R29fepRBKfzJ/ka+rMgZ1rH+jXWTUSag/abUcFq5IemND7LU7Cr25clZtKexx7EXLF/g7uV1kdNHuXp/Vy+QOnfaDRVWKqUJJ3QdalwTQr+qKu8ALIEdrzrqRYThD1dt2h1/J2x3GQzoK5f7be1KKY4tuEuDK9Q5tvMuaMsjdovG4lPqROJ7JYkSUKV7mVfDW6xII2QRi8rC2rmMduUhgFEL72CkP/meDE1GbtRViy/IRFzI9rl8nida9jgj2C9bAKvvJVEfyrIQ6qBO0PbCnasL3Myh41+UiehrPe4tSLoyvWx6dzeQMsuiH4O2H54BRuSSyWCv/EU9NPVsfpzrujiTg22VeefBxbtbLn741T07q82oYOLr6qPqhV7Lgb1iKSrMEhYSpcDVTYIMY/FnivYzgVDmTkGJyqmJDfCfmC2VrcDfNB37VZflvOPux9IWHwQTjwUW4wdmcoSJzmoMBsZaisVqCSpuhV5fPXF6ySMbWmmNDMF7Nlfb4b64M9KSQmebGq4heaHk4rpsQ91OLDnAmRT2K5A6oT6jtiSB+kftAsX5uTyn2yTZFfRazntb7E68KALQlbXQJQfBkrQH3ZzbIZtek1xB82v/nQYC6JKcqNUjj2Wfzzg6tGVu0M4+lofTmX259If/CEbvS0gp7TzlG+lg28RXXw0FovKAc6yyszB0uoUTx5GLFKey/jDptOlFMkYVnvZmFX2QYVrVJstknlY8AMD+SEg6tPJ8DeUCfwY8Gb1UNPtYjslGjKwCPu4MseKWnhy9mSlg0HJi8VqECQeoeAIvmAeHEUN1L62KIJrDCOcjq+qq2xIaPYhX08l0hsbGowCu2jdBFVdbMq+lhhIKkQ4mp+7lpUUNaGP2RRxRP2co+1mD6biq5LzrTk5Vv9BSldtKPLAuYtpRh1pAJ5xm1mpi9pE1gei1RHOmkBdcmaA/01YtIMx1gp/16bw1i3phyRSMZrfV+oc1vextMVOTJ5MT6yxI8gtkw7+XHLG+1Oe7yVwZ6h3gPOkdRQRN8c63EBU0mvHD7nyOp0SlGJyYkd7Z0H78Ufy6rYGiYYlKWIfevgV7kmVhvmiWoh4Hy1pN1Huf0zz86AGPbDfprsVjrn6yX70EAhaTpDkZ6idb1aWHCu4lxn/8D2ZHX9FTbqz85rBDYxxQ4HHVcvt1q2K+y2ReUmzkbS+gQIqT9jWbrKq63GsmuiGO/m/ygzUCrk0kvSDl3cosAW1895EYdFzFgzNYk4rE50H+qZadANAsV/jgq4aq+LmksrwNMCy14BqMfPehqOxbCRDRU/m/NdyiOKuwM4Suo+He8lzpLl9Q9Y0U3pxjjn4cdbXqer5ZtDi0u60i39SLnNFUSilWyNJ1jpMxpwjKnC+OwWaeXKaejQrK5FzhGN7DqXXGu6JzF+8yGem+DihLOxkPm96wmUBKN3b/K8qj4dlC9de++tv55TC0GWy0RznhmIL4HXwr277caj1YEx7DqLYtHjQxy26xPfnO7/kAbWwNX7eGXdOeR/DMKhb4WzXDUxuzOqQzshqzFXDb592bG/Pkha4p6c7t+4VKotwaCapnOpSiDiXZ3jdoOk4v2g8TTnC8PvbBOquscFR0mN9D7p3lc/thezPtRoXMwi4qZ4wBG+pp6iMBIR0CBrT0jVS+71nevs1rsqE6td6CyxzX4oDD+GQ/OJKZNL3FIFcbhvzAHWy2dGxtPRMIne856v3Y2XJo4cKeXPHAQ2Og0ibOaQVT4feSS8D1clLF6qUneo6bAZkDB2RsKzeJ2UvG3gxWYZQ11W20EPdmJBGt+22GyplMW8Kq/2rxhkeU1WsTSIXvEiJ/M7XzdpXDwfAs5/uOFw+yTrilWWn+9Y8gwnIQxUueA6I/7E0Uj5sz1v70Ml/0R5Il9zhY6DqDWF86SqDV+lT70/m0yXz0l/v1Lo1pLth/qnHcj5qjhIliHZuX0Smg+IlMoip/dTSYUc8wkX2jzXtq3xukbwP3GkB53yeO4NBtCxKyyIfQfWxTF0tz6znXnx+CbfTIaQ/yuDhKZqg9lzUWqj0q46Kp83mzukt6IMe0mPvVWcxpNWWi+NL1tyszjeliOzHA5O/GSbatK1fWes1d8SdQ5tR7t7lLrqkb9SIlbqgnG/fiqWmo7sHozGGp9+6uFiDdnl2xRxN+o/W5x/Xc5xU7TekyxdHZYsfibQM1+NKbl3yMNEeqOmqeRr+scNhyjDl0zHB9XGyOt5Lr0ngERGJj8SL0Y86sXglQdcwrQ6ftb6N/JjwjcuVk/p1bdJBFdhZqKTNPJ6DGhavhtCIXeh/WYfC2UmmUznRScaFQZAUW/fpHBQdRiaNz8NM7j8OpF0h9/A73uzMLTxyAX6uMKS+2Lp/dzcGG3C5235Hcnrjy1vZtSdnL052BZUFkcNai9pxKSKZCteDMdkLFPYQDDCdfr8Gy9NmmsBE9KJP0caFOVN2CaZPnJsui0B2Cqdrjz1KD/0cvyg74PtWeN1FlRbzMm60WVX2rXpRTbi+4WFdjndXmBr3lwRTegoG1zxgqWBOxfvTYVyjna3vStNzdkxytfbJ4txL6y3VbyjJ654Smh6AklLUO2b8yP9nPzM+DoR471vW8kLqeJlN28N2xenq6etETZmnVEuQcFCtWMNREeq5gbVF/mT+M4uEvbreOm5nS0vj607d/LIRYs/mHoqJTrxxUD3E3J63tVA7jX7PXjAWFkTOuvUIJERrxa6Xdx995pOf7Nn6145qYaQHEz847NwjnHElVO+MuC6cDa8/zV49YA/TWLTjBY2w0GmPVyxuh6VL/vUEEEpq+YGHu4y9Cr39v+0s9v3MYRIb/oQ22hMZxS5qwHdooY0kFuBXpt9ZJ4+aTXBrH3sx7rocqDEpFYSblN1npC9qOIjNvB5IWzNxAZ20e47YkoO9DnXZqsKN/k23xakGAASCs+xyGu7X6rWrdlkbUmKpgnUmhfoHcsvnD23LbMzje9Ynkdo6R52Tr2O5/MQN5rjb7H3mR4pnA6r5xYvV6DjMBUiYVNct9Reohr6Wnx8eeUT0/ZX47PabkEiGyXP/wEcEJSeCmVuZHN0cmVhbQplbmRvYmoKCjI0IDAgb2JqCjw8L1R5cGUvRm9udERlc2NyaXB0b3IvRm9udE5hbWUvQ1dXVFVQK0NNU1kxMC9GbGFncyA0L0ZvbnRCQm94Wy0yOSAtOTYwIDExMTYgNzc1XS9Bc2NlbnQgNzUwL0NhcEhlaWdodCA2ODMvRGVzY2VudCAtMTk0L0l0YWxpY0FuZ2xlIC0xNC9TdGVtViA0MC9YSGVpZ2h0IDQzMS9DaGFyU2V0KC9hcnJvd2xlZnQvbWludXMpL0ZvbnRGaWxlIDIzIDAgUj4+CmVuZG9iagoKMjUgMCBvYmoKPDwvTGVuZ3RoIDY5Ni9GaWx0ZXIvRmxhdGVEZWNvZGU+PgpzdHJlYW0KeNptVE1v4jAQvedXeA+V2gPFHySBCiHZCZE4bFuVarVXSEw3EklQCIf++/UbE6xWPRBNnt/MvPELc/frdTvRVbe3E/XI2Zs9d5e+tJPs9+4U3d3lXXlpbDs8W1vZajw9P7HXviu3dmD32SbftPXw4MibtjxeKjuyfiYZ+1G3gYI+7P7d/p2UTVMLPtlf6uNQtxMO8ns9HB3px3PmQPYVZJT0x/bnumufmHjknDtg3VZZ12CMczS9SmHTUdyhbqv+qoftoS4SklV1OVzf6Fk27j6QvP08D7bZtIcuWi7Z9M0dnof+kzQ+RNOXvrJ93X6w+6/S3NH2cjodLWQwHq1WrLIHV9HN/7xrLJv+OOON8/55skzSu/C6yq6y59OutP2u/bDRkvMVWxbFKrJt9e1Mcp+yP4zc1HH5HA+l45UDDOI1AUY4QKCaiD2QAECK8CkmB7AAoAnIOADUELkHFIDCxVJ4IHWARLpcEGoyAEiXhgCqodBWgcG5AjBDekxd+AzCYrBjdJFJAh0JGKlnJGBodNGLMJzGXEaE4YwCMA/DGaQbE4Zz6hyQh+EMamQ8DJdJAOo2nLv18Xpn8/G6y3+7/uoMVwukcciQkqMrlx6fI/aVFgbxzMdrxN4CDQ0uiWKqc52PcukWhaSaBeEF5hbE54Zi722OWPq+hEvfN8e1SN83Rx3p+xaE+75uYhenPiYOasrYkLXkdZyBr7wZEvqV8THcVpn3leLc4wXitceJT3Uk1Z9xf1foG1MvJTF7XPgYeEIcIYCn1EsoaEipl1TQluaeg7tKqQ7Pgc+vdgLX3OvBPWsR/NIy+KVV8EvPgl86Dn7pJPil0+CX1sEvnQe/jAx+mUXwKxM3v+jLoi8J/2zsodvSKC997/YJLStaE1gQdWtv++zUnZBFP1qE4+bF20sR/Qdx7YPECmVuZHN0cmVhbQplbmRvYmoKCjI2IDAgb2JqCjw8L0xlbmd0aCA2OTUvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjabVRNb+IwEL3nV3gPldoDxR8kgQoh2QmROGxblWq1V0hMNxJJUAiH/vv1GxOsVj0QTZ7fzLzxC3P363U70VW3txP1yNmbPXeXvrST7PfuFN3d5V15aWw7PFtb2Wo8PT+x174rt3Zg99km37T18ODIm7Y8Xio7sn4mGftRt4GCPuz+3f6dlE1Tp5P9pT4OdTvh4L7Xw9FxfjpmDmNfMEYpf2x/rrv2iYlHzrkD1m2VdQ1mOEfTqw42HZUd6rbqr2LYHtIiIVlVl8P1jZ5l4y4DydvP82CbTXvoouWSTd/c4XnoP0nhQzR96Svb1+0Hu/+izJ1sL6fT0UIF49FqxSp7cAXd7M+7xrLpTwPeKO+fJ8skvQuvquwqez7tStvv2g8bLTlfsWVRrCLbVt/OJPcp+8PITR2Xz/FQOl45wCBeE2CEAwSqidgDCQCkCJ9icgALAJqAjANADZF7QAEoXCyFB1IHSKTLBaEmA4B0aQigGgptFRicKwAzpMfUhc8gLAY7RheZJNCRgJF6RgKGRhe9CMNpzGVEGM4oAPMwnEG6MWE4p84BeRjOoEbGw3CZBKBuw7lbH693Nh+vu/y366/OcLVAGocMKTm6cunxOWJfaWEQz3y8Ruwt0NDgkiimOtf5KJduUUiqWRBeYG5BfG4o9t7miKXvS7j0fXNci/R9c9SRvm9BuO/rJnZx6mPioKaMDVlLXscZ+MqbIaFfGR/DbZV5XynOPV4gXnuc+FRHUv0Z93eFvjH1UhKzx4WPgSfEEQJ4Sr2EgoaUekkFbWnuObirlOrwHPj8aidwzb0e3LMWwS8tg19aBb/0LPil4+CXToJfOg1+aR380nnwy8jgl1kEvzJx84u+LPqS8M/GFrrtjPLS926d0KqiNYEFUbf2ts1O3QlZ9KM1OC5dvL0U0X+74YLyCmVuZHN0cmVhbQplbmRvYmoKCjI3IDAgb2JqCjw8L0xlbmd0aCA3MzkvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjabVVNb+IwFLznV3gPldoDxXZIAlWEZOdD4rBtVarVXiEx3UiQoBAO/ffr8SN42fYAGj+Pn2fswdz9eF1PVN1tzSR85OzNnLpzX5lJ9nNzDO7u8q46H0w7PBtTm3qcPT2x176r1mZg99kqX7XN8GDJq7ban2szsr4nafPRtJ6Cfdj9u/k9qQ694JPtudkPTTvh4L43w95yvptmtsZuaswt+WX6U9O1T0w8cs5toWjrrDvAwymYXnSw6ahs17R1fxHDtpAWCMnqphouI/ddHexhYPH68zSYw6rddUGasumbnTwN/adT+BBMX/ra9E37we5vlNmZ9fl43BuoYDxYLlltdrah9f68ORg2/c7glfL+eTRMurEgVVVXm9NxU5l+036YIOV8ydKyXAamrf+bS2jFdjdSE0vlc3yFKloGqQwtljEK3GJbwGSoqTC3hbC0OKKCxUEaC4sT5QoWB2mCySRDIy7QQ6GHWlx3sbpGBcl8VFT92fQX7TxcYBlHYyl5DCypDgU8JKyBZ4QL4Ih24MAxYdfnsrNbC51SSNeTTMQxPhhnfrzAOPfjDOPiH/7IKW9r4AnnQYQ4CwEP9iQTYElc6BPOA9czYOdBZo7jPMgcWgVdg8Ihi4TqCnhOax3HeeO549AdFPAinDcRwb8gX6Xjk6fMcQriSGDy4faVgm4b+qWka8yBE8LwHVJPBU5IPUNwQjojDT3RJQI4k4g4EThRQX6hISrJF3rGnPjQkORUBz8hfo4+Cel0d6k46cR5KuFzo6TPjQp9btTM50ZFPjcq9rlRic+NUj43irKioEddvDt+7vOkits8qfI2T5rf5kmLr3nS8muedOjzpGc+TzryedKxz5NOfJ703OdJL3yetPJ50trnSWc+Tzr3edKFz5MufZ4y7vOUCZ+nTPo8ZbPrnblfvvul423CO3p99apz39sH0T227qHDE9e05voeH7sjVrmPe8jHvw2MXsrgL/HzqFAKZW5kc3RyZWFtCmVuZG9iagoKMjggMCBvYmoKPDwvTGVuZ3RoIDkwMC9GaWx0ZXIvRmxhdGVEZWNvZGU+PgpzdHJlYW0KeNptVU1v2zoQvOtXsIcA6cE1PyRSLgwDpGQDOfQDTfDwro7E5AmIZUO2D/n3j7Nrm22RQ4zVcLk7OxyGd59+Ps58v3+OM/NFil/xuD9PXZw137aH4u6u3XfnXRxP32PsY39dPX4VP6d99xhP4r55aB/G4fQ5JT+M3du5j9esj5NCfB3GnII+4v4p/jvrdsd3JWfP5+HtNIwzieSn4fSWkj5cFwkUf4KCNv0Tp+OwH78K9UVKmYD12Df7HcY4FvMLFTG/knsZxn668BHPYFcoLfqhO12+6LfbJT2w+fH9eIq7h/FlXyyXYv4rLR5P0ztx/FzMf0x9nIbxVdz/SS0tPZ4Ph7cIGkIWq5Xo40uqmOb/vt1FMf9wxlvO0/shCk3finl1+z4eD9suTtvxNRZLKVdiudmsijj2f61px1ueX665dcqVTfrRelGtiqXSKVaGgNoCKAFUBNgSgAXgAHi/AeABBN6iAaCeanmLB7AGsCHAAdDUAJW1WhgA1MAy4ABQPSKmWmQY1DBcw4NHqVJcobeUKS6WFTIqztCoYSGEVbwFxCyGs9TbSPCwoGArBmoA0MMuALg1AAdOzrFA6OKw6NBWSy0T4AF4nyX0mNwzD5oloEGwWdOAeqHOmgbUCD5rGlAjrLOmAfUamTVtMFejb5qmw76eaq2up9z9t50uhtBaoY5UJFgAL6kpbinmI1cUl4RvKOaTb8BSWt4LGSRLonA0ko5ati1i4lytMabcsErkCeZQIkfxkVjUUayCaRAvOAe6a8legMJacYw6WnOMvZo5lGSgmq1C+QuOKd9zTPkt7wU3veZ4gZjPSoGbob7SYK9hnsm9KWalySSGtZIBMZm4CmTRimOqQ1oZQ/k8owQ3wzNKymfzesxu+P5IGMiw7RXhzFmBf8maGORUnK9hhYrvr8YsFV+7Gpwtn5cDT+s4BjfLfR3q20sd1LTcl0xsuW9L8ZryK8pnrUrM4i6+AgdHWnkD87qLVvCPY600OLiS7wS85NhXdPldzTpQfmCP4Ywc8bGWclqOcS5uzTFdxw3H4FP/5hkvqQ7fUJX973X2vzfZ/77M/vdV9r+32f/eZf/7Ovs/yOz/oLL/g87+Dyb7P5TZ/yFk/4cm+78xeZamvM1It5xuNf654ym6vRvdeZrSk0LvFb0UeCOGMd6etMP+gF30R2/h9fHF149N8T+uWOoeCmVuZHN0cmVhbQplbmRvYmoKCjI5IDAgb2JqCjw8L1R5cGUvQ2F0YWxvZy9QYWdlcyAxMiAwIFI+PgplbmRvYmoKCjMwIDAgb2JqCjw8L1Byb2R1Y2VyKHBkZlRlWC0xLjQwLjI1IFwoQ3JvcHBlZCBieSBwZGZDcm9wTWFyZ2lucz49Mi4wLlwpKS9DcmVhdG9yKFRlWCkvQ3JlYXRpb25EYXRlKEQ6MjAyMzEyMDkwODU5NTIrMDEnMDAnKS9Nb2REYXRlKEQ6MjAyMzEyMDkwODU5NTIrMDEnMDAnKS9QVEVYLkZ1bGxiYW5uZXIoVGhpcyBpcyBwZGZUZVgsIFZlcnNpb24gMy4xNDE1OTI2NTMtMi42LTEuNDAuMjUgXChUZVggTGl2ZSAyMDIzXCkga3BhdGhzZWEgdmVyc2lvbiA2LjMuNSkvcGRmQ3JvcE1hcmdpbnNSZXN0b3JlRGF0YShbWzAuMCwgMC4wLCA2MTIuMCwgNzkyLjBdXSk+PgplbmRvYmoKCnhyZWYKMCAzMwowMDAwMDAwMDExIDAwMjU2IGYgCjAwMDAwMDAwMTYgMDAwMDAgbiAKMDAwMDAwMDAzNyAwMDAwMCBuIAowMDAwMDAwMDU4IDAwMDAwIG4gCjAwMDAwMDAxMDcgMDAwMDAgbiAKMDAwMDAwMDI0NCAwMDAwMCBuIAowMDAwMDAwMzgwIDAwMDAwIG4gCjAwMDAwMDIzMjAgMDAwMDAgbiAKMDAwMDAwMjQ2NiAwMDAwMCBuIAowMDAwMDAyNjExIDAwMDAwIG4gCjAwMDAwMDI3NTggMDAwMDAgbiAKMDAwMDAwMDAzMSAwMDAwMSBmIAowMDAwMDAyOTA2IDAwMDAwIG4gCjAwMDAwMDI5NTkgMDAwMDAgbiAKMDAwMDAwMjk4NCAwMDAwMCBuIAowMDAwMDAzMzY3IDAwMDAwIG4gCjAwMDAwMDM1NzIgMDAwMDAgbiAKMDAwMDAwNDAyOCAwMDAwMCBuIAowMDAwMDEyNjY3IDAwMDAwIG4gCjAwMDAwMTI4OTUgMDAwMDAgbiAKMDAwMDAyMDAyNiAwMDAwMCBuIAowMDAwMDIwMjI4IDAwMDAwIG4gCjAwMDAwMzQyNDYgMDAwMDAgbiAKMDAwMDAzNDU1OCAwMDAwMCBuIAowMDAwMDQxNjcxIDAwMDAwIG4gCjAwMDAwNDE4ODkgMDAwMDAgbiAKMDAwMDA0MjY1NSAwMDAwMCBuIAowMDAwMDQzNDIwIDAwMDAwIG4gCjAwMDAwNDQyMjkgMDAwMDAgbiAKMDAwMDA0NTE5OSAwMDAwMCBuIAowMDAwMDQ1MjQ3IDAwMDAwIG4gCjAwMDAwMDAwMzIgMDAwMDEgZiAKMDAwMDA0NTU3NCAwMDAwMSBmIAoKdHJhaWxlcgo8PC9TaXplIDMzL0luZm8gMzAgMCBSL1Jvb3QgMjkgMCBSL0lEWzw2NzcyM0Q1MjhEQjI2NERFODVBMkJERDJGMEQ2OUNFMT48Qzk5QUI1OTk3RjM3RTFBMzI2REY4N0NBMTMzNzU4NkU+XT4+CnN0YXJ0eHJlZgo0NTU3NAolJUVPRgo=" | https://arxiv.org/abs/2210.06813 | arxiv | 2022-10-14T02:11:18 | |
A simplified model to estimate the penumbra size at a given pixel. We assume our occluder is spherical in shape, forming a convex bounding-sphere around the occlusion geometry as shown in figure (a) on the left. Figure (b) shows a simplified diagram to estimate the parameters $\theta, \theta_\delta$. | \documentclass[sigconf]{acmart}
\usepackage{amsmath}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\node[anchor=south west,inner sep=0] at (0,0){
\includegraphics[width=11.5cm, trim={0cm 0.5cm 0 0cm},clip]{example-image}};
%% Left
\node[anchor=south west] at (0.75, 5.95) { \textcolor{black}{\small a. Model estimating penumbra}};
\node[anchor=south west] at (2.75, 5.525) { \textcolor{black}{$r_e$}};
\node[anchor=south west] at (1.0, 5.45) { \textcolor{black}{Emitter}};
\node[anchor=south west] at (3.25, 4.45) { \textcolor{black}{Center line}};
\node[anchor=south west] at (2.95, 3.525) { \textcolor{black}{$z_{min}$}};
\node[anchor=south west] at (1.05, 3.75) { \textcolor{black}{$z_{max}$}};
\node[anchor=south west] at (0.4, 2.8) { \textcolor{black}{$z_f$}};
\node[anchor=south west] at (3.25, 2.9) { \textcolor{black}{$x_a < 0$}};
\node[anchor=south west] at (3.25, 1.9) { \textcolor{black}{$x_a > 0$}};
\node[anchor=south west] at (3.4, 1.3) { \textcolor{black}{Penumbra}};
\node[anchor=south west] at (3.4, 0.95) { \textcolor{black}{$\approx x_a + x_b$}};
\node[anchor=south west] at (2.1, 0.45) { \textcolor{black}{$x_a$}};
\node[anchor=south west] at (3.0, 0.40) { \textcolor{black}{$x_b$}};
%%Right
\node[anchor=south west] at (5.35, 5.95) { \textcolor{black}{\small b. Estimating parameters}};
\node[anchor=south west] at (6.7, 5.45) { \textcolor{black}{\small P}};
\node[anchor=south west] at (7.5, 5.45) { \textcolor{black}{\small A}};
\node[anchor=south west] at (5.7, 4.0) { \textcolor{black}{$z_m$}};
\node[anchor=south west] at (7.3, 3.35) { \textcolor{black}{$\theta$}};
\node[anchor=south west] at (6.9, 2.95) { \textcolor{black}{$\theta_{\delta}$}};
\node[anchor=south west] at (6.5, 2.65) { \textcolor{black}{\small M}};
\node[anchor=south west] at (7.05, 2.55) { \textcolor{black}{\small D}};
\node[anchor=south west] at (6.05, 0.5) { \textcolor{black}{\small B}};
\node[anchor=south west] at (6.9, 0.5) { \textcolor{black}{\small Q}};
\node[anchor=south west] at (6.55, 0.45) { \textcolor{black}{$x_a$}};
\node[anchor=south west] at (7.5, 0.5) { \textcolor{black}{\small C}};
\node[anchor=south west] at (6.05, 0.05) { \textcolor{black}{$x_b$}};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2301.05262 | arxiv | 2023-01-16T02:00:29 | |
(a) Three consecutive intervals on an infinite system with the corresponding cross ratio $\eta$. (b) Three consecutive intervals on a circle with circumference $L$. Here, $x_{ij} \coloneqq x_j - x_i$ denotes the distance between $x_i$ and $x_j$. | \documentclass[aps,english,prl,floatfix,amsmath,superscriptaddress,tightenlines,twocolumn,nofootinbib]{revtex4-2}
\usepackage{amssymb,amsthm,tikz,mathtools}
\usetikzlibrary{decorations.markings,decorations.pathmorphing}
\usepackage[utf8]{inputenc}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}[scale=0.5]
\draw (-4,2.3)node{(a)};
\begin{scope}[shift={(0,-0.1)}]
\draw (-4.3,0) -- (4.3,0);
\draw (-3,-0.2) node[anchor=north]{$x_1$} -- (-3,0.2)
(-1,-0.2) node[anchor=north]{$x_2$} -- (-1,0.2)
(1,-0.2) node[anchor=north]{$x_3$} -- (1,0.2)
(3,-0.2) node[anchor=north]{$x_4$} -- (3,0.2);
\draw (-2,0.1)node[anchor=south]{$A$}
(0,0.1)node[anchor=south]{$B$}
(2,0.1)node[anchor=south]{$C$};
\end{scope}
\begin{scope}
\draw (0,-3)node{$\eta = \frac{(x_2-x_1)(x_4-x_3)}{(x_3-x_1)(x_4-x_2)}$};
\end{scope}
\draw (5.2,2.4)node{(b)};
\begin{scope}[shift={(9,0.7)}]
\draw (0,0) circle (2cm);
\draw (165:1.8) -- (165:2.2)
(235:1.8) -- (235:2.2)
(305:1.8) -- (305:2.2)
(15:1.8) -- (15:2.2);
\draw (165:2.7)node{$x_1$}
(235:2.7)node{$x_2$}
(305:2.7)node{$x_3$}
(15:2.7)node{$x_4$};
\draw (200:2.5)node{$A$}
(270:2.5)node{$B$}
(340:2.5)node{$C$};
\end{scope}
\begin{scope}[shift={(9,0)}]
\draw (0,-3)node{$\eta = \frac{\sin(\pi x_{12} / L)\sin(\pi x_{34} / L)}{\sin(\pi x_{13} / L)\sin(\pi x_{24} / L)}$};
\end{scope}
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2303.05444 | arxiv | 2023-03-10T02:20:46 | |
The example shows the TikZ native plotting, without pgfplots, and a Bezier curve. The Warsaw circle is a compact subset of the plane produced by “closing up” a topologist’s sine curve with an arc: Wikipedia. | \documentclass[tikz,border=10pt]{standalone}
\begin{document}
\begin{tikzpicture}
\draw plot[domain=0.01:1, samples=5000] (\x,{sin(1/\x r)});
\draw (0,1) -- (0,-1);
\draw (1,{sin(1 r)}) .. controls (4,{sin(1/4 r)-1.2}) and (0,-3) .. (0,-1);
\end{tikzpicture}
\end{document} | 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" | https://tikz.net/warsaw-circle/ | tikz.net | 2023-07-01T19:31:40 | |
\textcolor{black}{Listing the different areas $A_1, \ldots, A_{18}$ into which the plane is divided in case 1.} | \documentclass{article}
\usepackage{color}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usetikzlibrary{calc}
\usepackage{pgfplots}
\pgfplotsset{compat=1.17}
\begin{document}
\begin{tikzpicture}[scale = 0.75]
\begin{axis}
[
xmin=0,
xmax=10,
ymin=0,
ymax=12,
nodes near coords,
point meta=explicit symbolic]
\addplot+[only marks, black] coordinates{(2,2) (4,8)[] (6,6)[] (7,3)[]};
\draw[shorten >= -10cm, shorten <=-10cm, -, thick, ](axis cs:2,2)--(axis cs:4,8) node[at start, yshift = -0.5cm] {$12$};
\draw[shorten >= -10cm, shorten <=-10cm, -, thick](axis cs:2,2)--(axis cs:6,6) node[at start, yshift = -0.5cm, xshift = -0.5cm, blue]{$13$};
\draw[shorten >= -10cm, shorten <=-10cm, -, thick](axis cs:2,2)--(axis cs:7,3) node[at start, xshift = -1cm, blue]{$23$};
\node[draw, black] at (axis cs:1.5,2.5) {$I_{1,2,3}$};
\node[draw, black] at (axis cs:3,8) {$I_{1,2,4}$};
\node[draw, blue] at (axis cs:7,6.5) {$I_{1,3,4}$};
\node[draw, blue] at (axis cs:6,1) {$I_{2,3,4}$};
\node[red] at (axis cs:1,9.5) {$A_{13}$};
\node[red] at (axis cs:1.5,11) {$A_3$};
\node[red] at (axis cs:3,11) {$A_2$};
\node[red] at (axis cs:4.75,11.5) {$A_1$};
\node[] at (axis cs:6,11) {$A_4$};
\node[] at (axis cs:5,8) {$A_5$};
\node[] at (axis cs:4,5.5) {$A_{15}$};
\node[] at (axis cs:5.5,6) {$A_8$};
\node[] at (axis cs:9,6) {$A_6$};
\node[] at (axis cs:5,4) {$A_{16}$};
\node[] at (axis cs:6.25,4.75) {$A_{9}$};
\node[] at (axis cs:7.75,3.5) {$A_{7}$};
\node[] at (axis cs:0.3,1) {$A_{14}$};
\node[] at (axis cs:1,0.3) {$A_{17}$};
\node[] at (axis cs:4,1) {$A_{18}$};
\node[] at (axis cs:8.1,0.5) {$A_{12}$};
\node[] at (axis cs:9,1.5) {$A_{11}$};
\node[] at (axis cs:9.5,3) {$A_{10}$};
\draw[shorten >= -10cm, shorten <=-10cm, -, thick](axis cs:4,8)--(axis cs:6,6) node[at start, xshift = -1.5cm, yshift = 0.5cm, blue] {$14$};
\draw[shorten >= -10cm, shorten <=-10cm, -, thick](axis cs:4,8)--(axis cs:7,3) node[at start, xshift =-0.5cm, yshift = 0.75cm, blue] {$24$};
\draw[shorten >= -10cm, shorten <=-10cm, -, thick](axis cs:6,6)--(axis cs:7,3)
node[at start, xshift =0cm, yshift = 0.75cm, blue] {$34$};
\end{axis}
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2202.03185 | arxiv | 2022-12-09T02:16:17 | |
Lemma~\ref{lem:extremecase} for $a=5$, $b=4$, $c=2$, $h=4$. A gray cube represents a forced 1 in the contingency array. Absence of color represents a forced 0 in the contingency array. The blue box shows the area where both zeros and ones are possible. | \documentclass[11pt,a4paper]{article}
\usepackage{amsmath,amssymb,amsthm,bbm,color,url}
\usepackage{tikz}
\usetikzlibrary{matrix,calc,backgrounds,arrows,shapes,patterns,arrows.meta}
\tikzset{coordinateIIID/.style={x={(240:0.8cm)}, y={(-10:1cm)}, z={(0,1cm)}, scale=0.54}}
\newcommand{\grid}{
\node at (1,7.75,1) {\footnotesize\hspace{1.4cm} 1$^{\textup{st}}$ coord.};
\node at (1,1,8.1) {\footnotesize 3$^{\textup{rd}}$ coord.};
\node at (8,1,1) {\footnotesize 2$^{\textup{nd}}$ coord.};
\draw[-Triangle] (1,1,1) -- (7.75,1,1);
\draw[-Triangle] (1,1,1) -- (1,7.75,1);
\draw (1,7,1) -- (7,7,1);
\draw (7,1,1) -- (7,7,1);
\draw[-Triangle] (1,1,1) -- (1,1,7.75);
\draw (1,1,7) -- (1,7,7);
\draw (1,7,7) -- (1,7,1);
\draw (1,7,1) -- (1,1,1);
\draw (1,1,1) -- (7,1,1);
\draw (7,1,1) -- (7,1,7);
\draw (7,1,7) -- (1,1,7);
\draw (1,1,7) -- (1,1,1);
\foreach \i in {2,...,6}\draw (\i,0.9,1) -- (\i,1.1,1);
\foreach \i in {2,...,6}\draw (\i,0.9,7) -- (\i,1.1,7);
\foreach \i in {2,...,6}\draw (0.9,\i,1) -- (1.1,\i,1);
\foreach \i in {2,...,6}\draw (0.9,\i,7) -- (1.1,\i,7);
\foreach \i in {2,...,6}\draw (0.9,7,\i) -- (1.1,7,\i);
\foreach \i in {2,...,6}\draw (0.9,1,\i) -- (1.1,1,\i);
\foreach \i in {2,...,6}\draw (1,0.9,\i) -- (1,1.1,\i);
\foreach \i in {2,...,6}\draw (7,0.9,\i) -- (7,1.1,\i);
\foreach \i in {2,...,6}\draw (\i,6.9,1) -- (\i,7.1,1);
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\begin{document}
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%
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%
%
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\end{document} | 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" | https://arxiv.org/abs/2305.03003 | arxiv | 2023-05-05T02:20:54 | |
Representation of the procedure to obtain solutions to the Yang-Baxter equations described in \ref{ybexample}. Solutions are outlined with thick boundaries. S stands for solution. | \documentclass{article}
\usepackage{xcolor}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[style = {draw,->,thick}]
\node [draw]{(2,1) in block 112, (1,2) in block 122}[sibling distance = 8.5cm,level distance = 2.5cm]
child {node [draw]{(2,1) in block 122}[sibling distance = 2.5cm]
child {node [draw,ultra thick]{S 1} edge from parent node [left,xshift=-0.3cm]{$x=0$}}
child {node [draw,ultra thick]{S 2} edge from parent node [left]{$\alpha=1$}}
child {node [draw]{block 122 solved}
child {node [draw,ultra thick]{S 3}
edge from parent node [left,xshift=-0.3cm]{$M_1=1$}}
child {node [draw]{(1,2) in block 112}
child {node [draw,ultra thick]{S 1} edge from parent node [left,xshift=-0.3cm]{$x=0$}}
child {node [draw,ultra thick]{S 2} edge from parent node [left]{$\alpha=1$}}
child {node [draw,ultra thick]{S 2} edge from parent node [right,xshift=0.3cm]{$\alpha=x$}}
edge from parent node [right,xshift=0.3cm]{solve block 112}}
edge from parent node [right,xshift=0.3cm]{$\beta_{12}=\alpha$}}
edge from parent node [left,xshift=-0.5cm]{$\beta_{21}=x/\beta_{12}$}}
child {node [draw]{(1,1) in block 122}[sibling distance = 4cm]
child {node [draw,ultra thick]{1-species PASEP} edge from parent node [left,xshift=-0.3cm]{$\alpha=1$}}
child {node [draw,ultra thick]{S 1 (with $\beta_{12}=0$)} edge from parent node [right,xshift=0.3cm]{$x=0$}}
edge from parent node [right,xshift=0.5cm]{$\beta_{12}=\beta_{21}=0$}};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2212.11646 | arxiv | 2022-12-23T02:11:06 | |
The cyclic interval partition $\{1,2,15/3,4,5,6,7/8/9/10/11/12/13/14\}$ has separating set $\{2',7',10',11',14'\}$ | \documentclass[12pt]{amsart}
\usepackage{amsthm,amsmath,amssymb,enumerate,color, tikz}
\usetikzlibrary{shapes.geometric}
\usepackage[colorlinks,anchorcolor=black,citecolor=black,linkcolor=black]{hyperref}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.7]
\coordinate (C) at (0,0);
\def\N{15};
\def\rad{5};
\coordinate (C0) at (0*360/\N:6.5);
\draw[line width=2] (C0) arc(0*360/\N : 2*360/\N : 6.4);
\coordinate (C1) at (3*360/\N:6.5);
\draw[line width=2] (C1) arc(3*360/\N : 7.05*360/\N : 6.4);
\coordinate (C2) at (8*360/\N:6.5);
\draw[line width=2] (C2) arc(8*360/\N : 10*360/\N : 6.4);
\coordinate (C4) at (12*360/\N:6.5);
\draw[line width=2] (C4) arc(12*360/\N : 14*360/\N : 6.4);
\draw (0,0) circle (\rad);
\foreach \i in {0,...,\N}
\fill (360/\N*\i:5) circle (0.15);
\foreach \i in {1,...,\N}
\coordinate[label=center:$\i$] (D) at (360/\N*\i:4.5);
\foreach \i in {1,...,\N}
\draw[line width=2] (360/\N*\i:5.7) -- (360/\N*\i:6.5);
\foreach \i in {1,...,\N}
\coordinate[label=center:$\i'$] (D) at (360/\N*0.5+360/\N*\i:4.5);
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2204.00072 | arxiv | 2022-09-09T02:16:10 | |
Example of the construction of the event $A_{St}$ for $q=0.7$ and $K=4$. The path containing the origin has level $-1$. If a point $(n,m)$ is in $C_{-1}$ or $C_1$, then we have $H(n+\frac{1}{2},m+\frac{1}{2})>1$ or $H(n+\frac{1}{2},m+\frac{1}{2})<-1$. The only face with height $-1$ on the $x$-axis of $\mathbb Z^2+(\frac{1}{2},\frac{1}{2})$ is $(-\frac{3}{2},\frac{1}{2})$. Therefore, the two blue points cannot be in the same finite cycle. | \documentclass{article}
\usepackage{amsmath}
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\usepackage{tikz}
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\usepackage[utf8]{inputenc}
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\begin{document}
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\filldraw[blue] (4,-4) circle (2pt);
\draw[black, thick] (-4,4/5) -- (-10,2) node[anchor=south west]{$y=\frac{-(2q-1)}{2}x$};
\draw[black, thick] (-4,-4/5) -- (-10,-2) node[anchor=north west]{$y=\frac{2q-1}{2}x$};
\draw[black, thick] (4,4/5) -- (10,2) node[anchor=south east]{$y=\frac{2q-1}{2}x$};
\draw[black, thick] (4,-4/5) -- (10,-2) node[anchor=north east]{$y=\frac{-(2q-1)}{2}x$};
\filldraw[black] (6,0) circle (0pt) node[]{$C_1$};
\filldraw[black] (-6,0) circle (0pt) node[]{$C_{-1}$};
\end{tikzpicture}
\end{document} | 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| https://arxiv.org/abs/2212.04399 | arxiv | 2022-12-09T02:16:49 | |
A synchronous (transient) generator model~$G$ that we approximate with a data-driven DeepONet. We trained the DeepONet using data collected from the two-area, four-generator system of the Power System Toolbox~(PST). | \documentclass[11pt]{article}
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% Text Node
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% Text Node
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% Text Node
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% Text Node
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" | https://arxiv.org/abs/2301.12538 | arxiv | 2023-01-31T02:18:35 | |
A part of ${\overline{\mathrm{Q}}}{}_m^n$ used in the proof of Theorem \ref{thm:maintheorem} where for simplicity the pairs of opposite arrows are drawn by an unoriented edge and only the label of the ascending arrow is given | \documentclass[leqno,10pt,oneside]{amsart}
\usepackage[utf8]{inputenc}
\usepackage{amsmath,amssymb,amsthm,mathtools,stmaryrd,appendix}
\usepackage[colorlinks,pagebackref]{hyperref}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows.meta,decorations.markings,decorations.pathmorphing,shapes,positioning}
\tikzset{>=stealth}
\newcommand{\UP}[1]{\draw[color=white,postaction={decorate}] (#1,-.4) -- (#1,.35);}
\newcommand{\DN}[1]{\draw[color=white,postaction={decorate}] (#1,.4) -- (#1,-.35);}
\newcommand{\MRAY}[1]{\draw[line width=.5pt,line cap=round] (#1,1) -- ++(0,-2) ++(-.25,0) -- ++(.5,0) ++(0,2) -- ++(-.5,0);}
\newcommand{\RAY}[1]{\draw[line width=.5pt,line cap=round] (#1,-1) -- (#1,1);}
\newcommand{\CIRCLE}[1]{\draw[line width=.5pt,line cap=round] (#1,-.21) -- (#1,.21) arc[start angle=180, end angle=0, radius=.5] -- ++(0,-.42) arc[start angle=0, end angle=-180, radius=.5];}
\newcommand{\SCCIRCLE}[1]{\draw[line width=.5pt,line cap=round] (#1,0) arc[start angle=180, end angle=-180, x radius=1.5, y radius=1.2];}
\newcommand{\DDOT}[1]{\node[font=\scriptsize] at (#1,0) {.};}
\newcommand{\SCIRCLES}[2]{\draw[line width=.5pt,line cap=round] (#1,-.21) -- (#1,.21) arc[start angle=180, end angle=0, x radius=#2, y radius =(.55-.015*#2)*#2] -- ++(0,-.42) arc[start angle=0, end angle=-180, x radius=#2, y radius=(.55-.015*#2)*#2];}
\begin{document}
\begin{tikzpicture}[x=2em,y=3.4em,decoration={markings,mark=at position 0.99 with {\arrow[black]{Stealth[length=3pt]}}}]
\begin{scope}[scale=0.9]
\begin{scope}[shift={(0,0)}]
\foreach \x in {0,1,...,4}
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em] (a\x) at (0, -\x) {};
\path[-, line width=.5pt, line cap=round] (a0) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar Y_0=\bar y_0$} (a1);
\path[-, line width=.5pt, line cap=round] (a1) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar Y_1=\bar y_1$} (a2);
\path[-, line width=.5pt, line cap=round] (a2) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar Y_2=\bar y_2$} (a3);
\path[-, line width=.5pt, line cap=round] (a3) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_3$} (a4);
%
\foreach \x in {1,2,...,4}
{
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](b\x) at (2, -1-\x) {};
}
\path[-, line width=.5pt, line cap=round] (b1) edge node[left=-.4ex, xshift=-.16em, yshift=-0em,font=\tiny,pos=.1] {$\bar Y_3$}(a1);
\path[-, line width=.5pt, line cap=round] (b2) edge node[right=.4ex, xshift=-1.4em, yshift=1.2em,font=\tiny,pos=.1] {$\bar y_4^3$} node[left=-.4ex, xshift=-.16em, yshift=-0em,font=\tiny,pos=.1] {$\bar Y_4$}(a2);
\path[-, line width=.5pt, line cap=round] (b3) edge node[right=.4ex, xshift=-1.4em, yshift=1.2em,font=\tiny,pos=.1] {$\bar y_3^{1'}$}(a3);
\path[-, line width=.5pt, line cap=round] (b4) edge node[right=.4ex, xshift=-1.4em, yshift=1.2em,font=\tiny,pos=.1]{}(a4);
\path[-, line width=.5pt, line cap=round] (b1) edge node[right=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar Y_5=\bar y_2^1$} (b2);
\path[-, line width=.5pt, line cap=round] (b2) edge node[right=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_3^1$} (b3);
\path[-, line width=.5pt, line cap=round] (b3) edge node[right=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_4^1$} (b4);
%
\foreach \x in {2,3,4}
{
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](c\x) at (4, -2-\x) {};
}
\path[-, line width=.5pt, line cap=round] (c2) edge node[right=.4ex, xshift=-.95em, yshift=.55em,font=\tiny,pos=.1] {$\bar y_3^{2'}$} (b2);
\path[-, line width=.5pt, line cap=round] (c3) edge node[right=.4ex, xshift=-1em, yshift=.8em,font=\tiny,pos=.1] {$\bar y_4^{2'}$} (b3);
\path[-, line width=.5pt, line cap=round] (c4) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (b4);
\path[-, line width=.5pt, line cap=round] (c2) edge node[right=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_4^2$} (c3);
\path[-, line width=.5pt, line cap=round] (c3) edge node[right=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_5^2$} (c4);
%
\foreach \x in {3,4}
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](d\x) at (6, -3-\x) {};
\path[-, line width=.5pt, line cap=round] (c3) edge node[right=.4ex, xshift=.55em, yshift=-.65em,font=\tiny,pos=.1] {$\bar y_5^{3'}$} (d3);
\path[-, line width=.5pt, line cap=round] (c4) edge node[left=-.4ex, yshift=-.4em,font=\tiny,pos=.1] {} (d4);
\path[-, line width=.5pt, line cap=round] (d3) edge node[right=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_6^3$} (d4);
%
\foreach \x in {1,2,...,4} {%
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](e\x) at (12, -2-\x) {};
}
\foreach \x in {3,4}
\path[-, line width=.5pt, line cap=round] (e\x) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (b\x);
\path[-, line width=.5pt, line cap=round] (e1) edge node[right=.4ex, xshift=-7em, yshift=1.5em,font=\tiny,pos=.1] {$\bar Y_6$} (b1);
\path[-, line width=.5pt, line cap=round] (e2) edge node[right=.4ex, xshift=-7em, yshift=1.8em,font=\tiny,pos=.1] {$\bar y_3^{4'}$} (b2);
\foreach \x in {2, 3, 4} {
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](f\x) at (15, -3-\x) {};
}
\path[dotted, line width=.3pt] (f2) edge node[right=.4ex, xshift=-7.5em, yshift=1.55em,font=\tiny,pos=.1] {$\bar y_{4}^{7'}$} (c2);
\path[dotted, line width=.3pt] (f3) edge node[left=-.4ex, yshift=1.35em,font=\tiny,pos=.1] {} (c3);
\path[dotted, line width=.3pt] (f4) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (c4);
\path[dotted, line width=.3pt] (f2) edge node[right=.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_5^7$} (f3);
\path[dotted, line width=.3pt] (f3) edge node[right=.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_6^7$} (f4);
\path[-, line width=.5pt, line cap=round] (e1) edge node[right=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_3^4$} (e2);
\path[-, line width=.5pt, line cap=round] (e2) edge node[right=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_4^4$} (e3);
\path[-, line width=.5pt, line cap=round] (e3) edge node[right=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_5^4$} (e4);
\draw[-,line width=.5pt, line cap=round] (c2) .. controls (5, -2).. (a1);
\draw[-,line width=.5pt, line cap=round] (b2) .. controls (7, -4).. (d3);
\begin{scope}[shift={(4.5,-1.6)}]
\node[font=\scriptsize] at (0,0) {$\bar Y_7=\bar y_3^2$};
\end{scope}
\begin{scope}[shift={(6.5,-3.85)}]
\node[font=\scriptsize] at (0,0) {\strut$\bar y_5^3$};
\end{scope}
%a0
\begin{scope}[shift={(-.5em,0)},x=.27em,y=.45em]
\UP{0} \DN{1}
\MRAY{0} \MRAY{1}
\node[font=\scriptsize] at (3,0) {$=$};
\UP{5}
\node[font=\scriptsize] at (6.5,0) {.\hspace{-.3pt}.\hspace{-.3pt}.};
\node[font=\scriptsize] at (10.5,0) {.\hspace{-.3pt}.\hspace{-.3pt}.};
\UP{8} \DN{9} \DN{12}
\RAY{5} \RAY{8} \RAY{9} \RAY{12}
\node[font=\small] at (6.5,1.8) {\rotatebox{-90}{$\{$}};
\node[font=\scriptsize] at (6.5,3.1) {\strut$_{n}$};
\node[font=\small] at (10.5,1.8) {\rotatebox{-90}{$\{$}};
\node[font=\scriptsize] at (10.5,3.1) {\strut$_{m}$};
\end{scope}
%a1
\begin{scope}[shift={(-.5em,-1)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \DN{3}
\MRAY{0} \CIRCLE{1} \MRAY{3}
\node[font=\scriptsize] at (5,0) {$=$};
\UP{7} \UP{10} \DN{11} \UP{12} \DN{13} \DN{16}
\node[font=\scriptsize] at (8.5,0) {.\hspace{-.3pt}.\hspace{-.3pt}.};
\node[font=\scriptsize] at (14.5,0) {.\hspace{-.3pt}.\hspace{-.3pt}.};
\RAY{7} \RAY{10} \CIRCLE{11} \RAY{13} \RAY{16}
\node[font=\small] at (8.5,1.8) {\rotatebox{-90}{$\{$}};
\node[font=\scriptsize] at (8.5,3.1) {\strut$_{n-1}$};
\node[font=\small] at (14.5,1.8) {\rotatebox{-90}{$\{$}};
\node[font=\scriptsize] at (14.5,3.1) {\strut$_{m-1}$};
\end{scope}
%a2
\begin{scope}[shift={(-.5em,-2)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \UP{3} \DN{4}
\MRAY{0} \CIRCLE{1} \RAY{3} \MRAY{4}
\end{scope}
%a3
\begin{scope}[shift={(-.6em, -3)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \UP{3} \UP{4} \DN{5}
\MRAY{0} \CIRCLE{1} \RAY{3} \RAY{4} \MRAY{5}
\end{scope}
%a4
\begin{scope}[shift={(-.5em, -4)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \UP{3} \UP{4} \UP{5} \DN{6}
\MRAY{0} \CIRCLE{1} \RAY{3} \RAY{4} \RAY{5} \MRAY{6}
\end{scope}
%b1
\begin{scope}[shift={(1.8,-2)},x=.27em,y=.45em]
\UP{0} \DN{1} \DN{2} \UP{3} \DN{4}
\MRAY{0} \RAY{1} \CIRCLE{2} \MRAY{4}
\end{scope}
%b2
\begin{scope}[shift={(1.78,-3)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \DN{3} \UP{4} \DN{5 }
\MRAY{0} \CIRCLE{1} \CIRCLE{3} \MRAY{5}
\end{scope}
%b3
\begin{scope}[shift={(1.70,-4)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \UP{3} \DN{4} \UP{5} \DN{6}
\MRAY{0} \CIRCLE{1} \RAY{3} \CIRCLE{4} \MRAY{6}
\end{scope}
%b4
\begin{scope}[shift={(1.65,-5)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \UP{3} \UP{4} \DN{5} \UP{6} \DN{7}
\MRAY{0} \CIRCLE{1} \RAY{3} \RAY{4} \CIRCLE{5} \MRAY{7}
\end{scope}
%c2
\begin{scope}[shift={(3.8,-4)},x=.27em,y=.45em]
\UP{0} \DN{1} \DN{2} \UP{3} \UP{4} \DN{5}
\MRAY{0} \SCCIRCLE{1} \CIRCLE{2} \MRAY{5}
\end{scope}
%c3
\begin{scope}[shift={(3.8,-5)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \DN{3} \UP{4} \UP{5} \DN{6}
\MRAY{0} \CIRCLE{1} \CIRCLE{3} \RAY{5} \MRAY{6}
\end{scope}
%c4
\begin{scope}[shift={(3.8,-6)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \UP{3} \DN{4} \UP{5} \UP{6} \DN{7}
\MRAY{0} \CIRCLE{1} \RAY{3} \CIRCLE{4} \RAY{6} \MRAY{7}
\end{scope}
%d3
\begin{scope}[shift={(5.6,-6)},x=.27em,y=.45em]
\UP{0} \DN{1} \DN{2} \UP{3} \UP{4} \UP{5} \UP{6}
\MRAY{0} \SCCIRCLE{1} \CIRCLE{2} \RAY{5} \MRAY{6}
\end{scope}
%d4
\begin{scope}[shift={(5.6,-7)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \DN{3} \UP{4} \UP{5} \UP{6} \DN{7}
\MRAY{0} \CIRCLE{1} \CIRCLE{3} \RAY{5} \RAY{6} \MRAY{7}
\end{scope}
%e0
\begin{scope}[shift={(11.5,-3)},x=.27em,y=.45em]
\UP{0} \DN{1} \DN{2} \DN{3} \UP{4} \DN{5}
\MRAY{0} \RAY{1} \RAY{2} \CIRCLE{3} \MRAY{5}
\end{scope}
%e1
\begin{scope}[shift={(11.5,-4)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \DN{3} \DN{4} \UP{5} \DN{6}
\MRAY{0} \CIRCLE{1} \RAY{3} \CIRCLE{4} \MRAY{6}
\end{scope}
%e2
\begin{scope}[shift={(11.5,-5)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \UP{3} \DN{4} \DN{5} \UP{6} \DN{7}
\MRAY{0} \CIRCLE{1} \RAY{3} \RAY{4} \CIRCLE{5} \MRAY{7}
\end{scope}
%e3
\begin{scope}[shift={(11.5,-6)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \UP{3} \UP{4} \DN{5} \DN{6} \UP{7} \DN{8}
\MRAY{0} \CIRCLE{1} \RAY{3} \RAY{4} \RAY{5} \CIRCLE{6} \MRAY{8}
\end{scope}
%f2
\begin{scope}[shift={(14.5,-5)},x=.27em,y=.45em]
\UP{0} \DN{1} \DN{2} \UP{3} \DN{4} \UP{5} \DN{6}
\MRAY{0} \RAY{1} \CIRCLE{2} \CIRCLE{4} \MRAY{6}
\end{scope}
%f3
\begin{scope}[shift={(14.5,-6)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \DN{3} \UP{4} \DN{5} \UP{6} \DN{7}
\MRAY{0} \CIRCLE{1} \CIRCLE{3} \CIRCLE{5} \MRAY{7}
\end{scope}
%f4
\begin{scope}[shift={(14.5,-7)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \UP{3} \DN{4} \UP{5} \DN{6} \UP{7} \DN{8}
\MRAY{0} \CIRCLE{1} \RAY{3} \CIRCLE{4} \CIRCLE{6} \MRAY{8}
\end{scope}
\end{scope}
\begin{scope}[shift={(0, -6)}]
\foreach \x in {0,1,...,5}
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em] (a\x) at (0, -\x) {};
\path[-, line width=.5pt, line cap=round] (a0) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{n-1}$} (a1);
\path[-, line width=.5pt, line cap=round] (a1) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{n}$} (a2);
\path[-, line width=.5pt, line cap=round] (a2) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{n+1}$} (a3);
\path[-, line width=.5pt, line cap=round] (a3) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{n+2}$} (a4);
\path[-, line width=.5pt, line cap=round] (a4) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{n+3}$} (a5);
\begin{scope}[shift={(9,-6)}]
\node[font=\scriptsize] at (0,0) {\strut$\bar y_{n+5}^6$};
\end{scope}
\begin{scope}[shift={(7.3,-3.35)}]
\node[font=\scriptsize] at (0,0) {\strut$\bar y_{n+3}^5$};
\end{scope}
%
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](b0) at (2, -1) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](b1) at (2, -5) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](b2) at (2, -6) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](c0) at (4, -2) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](c1) at (4, -6) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](c2) at (4, -7) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](d0) at (6, -3) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](d1) at (6, -7) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](d2) at (6, -8) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](e0) at (12, -2) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](e1) at (12, -3) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](f0) at (7,-4) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](g0) at (9,-5) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](a-1) at (0,1) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](b-1) at (2,0) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](c-1) at (4,-1) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](d-1) at (6,-2) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](e-1) at (12,-1) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](f1) at (15,-2) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](f2) at (15,-3) {};
%
\path[dotted, line width=.3pt] (f1) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (c-1);
\path[dotted, line width=.3pt] (f2) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (c0);
\path[dotted, line width=.3pt] (f2) edge node[right=.4ex, xshift=-5em, yshift=-1.5em,font=\tiny,pos=.1] {$\bar y_{n+2}^7$} (f0);
\path[dotted, line width=.3pt] (f1) edge node[right=.3ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{n+1}^7$ } (f2);
%
\path[-, line width=.5pt, line cap=round] (a-1) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{n-2}$} (a0);
\path[-, line width=.5pt, line cap=round] (b-1) edge node[right=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{n-1}^1$} (b0);
\path[-, line width=.5pt, line cap=round] (c-1) edge node[right=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_n^2$} (c0);
\path[-, line width=.5pt, line cap=round] (d-1) edge node[right=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{n+1}^3$} (d0);
\path[-, line width=.5pt, line cap=round] (e-1) edge node[right=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{n}^4$} (e0);
\path[-, line width=.5pt, line cap=round] (a-1) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (b-1);
\path[-, line width=.5pt, line cap=round] (b-1) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (c-1);
\path[-, line width=.5pt, line cap=round] (c-1) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (d-1);
\path[-, line width=.5pt, line cap=round] (b-1) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (e-1);
\path[-, line width=.5pt, line cap=round] (b0) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (a0);
\path[-, line width=.5pt, line cap=round] (b0) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (c0);
\path[-, line width=.5pt, line cap=round] (c0) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (d0);
\path[-, line width=.5pt, line cap=round] (c0) edge node[right=-.4ex, xshift=-3.5em, yshift=-1.8em,font=\tiny,pos=.1] {$\bar y_{n+1}^2$} (a3);
\path[-, line width=.5pt, line cap=round] (d0) edge node[right=-.4ex, xshift=-5.9em, yshift=-2.2em,font=\tiny,pos=.1] {$\bar y_{n+2}^3$} (a4);
\path[-, line width=.5pt, line cap=round] (e1) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (a2);
\path[-, line width=.5pt, line cap=round] (e0) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (b0);
\path[-, line width=.5pt, line cap=round] (e0) edge node[right=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{n+1}^4$} (e1);
\path[-, line width=.5pt, line cap=round] (b1) edge node[right=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{n+4}^4$} (b2);
\path[-, line width=.5pt, line cap=round] (c1) edge node[right=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{n+5}^5$} (c2);
\path[-, line width=.5pt, line cap=round] (d1) edge node[right=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{n+6}^6$} (d2);
\path[-, line width=.5pt, line cap=round] (b1) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (a4);
\path[-, line width=.5pt, line cap=round] (b1) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (c1);
\path[-, line width=.5pt, line cap=round] (c1) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (d1);
\path[-, line width=.5pt, line cap=round] (a5) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (b2);
\path[-, line width=.5pt, line cap=round] (b2) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (c2);
\path[-, line width=.5pt, line cap=round] (c2) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (d2);
\path[-, line width=.5pt, line cap=round] (f0) edge node[right=-.4ex, xshift=-2.55em, yshift=-1.55em,font=\tiny,pos=.1] {$\bar y_{n+3}^4$} (b1);
\path[-, line width=.5pt, line cap=round] (f0) edge node[left=-.4ex, xshift=3.5em, yshift=1.6em,font=\tiny,pos=.1] {$\bar y_{n+2}^4$} (e1);
\path[-, line width=.5pt, line cap=round] (f0) edge node[left=-.4ex, xshift=-.55em, yshift=-.15em,font=\tiny,pos=.1] {$\bar y_{n+4}^6$} (a3);
\path[-, line width=.5pt, line cap=round] (f0) edge node[left=-.4ex, xshift=.7em, yshift=-.7em,font=\tiny,pos=.1] {$\bar y_{n+3}^{5'}$} (g0);
\path[-, line width=.5pt, line cap=round] (g0) edge node[right=-.4ex, xshift=-2.5em, yshift=-1.35em,font=\tiny,pos=.1] {$\bar y_{n+4}^5$} (c1);
\path[-, line width=.5pt, line cap=round] (b0) edge node[right=-.4ex, xshift=-.8em,yshift=-.75em,font=\tiny,pos=.1] {$\bar y_n^1$} (a2);
\draw[-,line width=.5pt, line cap=round] (d1) .. controls (11.3, -4.7).. (f0);
\draw[-,line width=.5pt, line cap=round] (g0) .. controls (10.5, -4.3).. (a2);
\draw[dotted, line width=.6pt] (a-1) -- ++(0,.7);
\draw[dotted, line width=.6pt] (b-1) -- ++(0,.7);
\draw[dotted, line width=.6pt] (c-1) -- ++(0,.7);
\draw[dotted, line width=.6pt] (d-1) -- ++(0,.7);
\draw[dotted, line width=.6pt] (e-1) -- ++(0,.7);
\draw[dotted, line width=.6pt] (f1) -- ++(0,.7);
\draw[dotted, line width=.6pt] (a5) -- ++(0,-.7);
\draw[dotted, line width=.6pt] (b2) -- ++(0,-.7);
\draw[dotted, line width=.6pt] (c2) -- ++(0,-.7);
\draw[dotted, line width=.6pt] (d2) -- ++(0,-.7);
%a-1
\begin{scope}[shift={(-.5, 1)},x=.27em,y=.45em]
\UP{0} \UP{1} \DN{2} \UP{3} \UP{4} \DN{5}
\RAY{0} \RAY{1} \CIRCLE{2} \MRAY{4} \MRAY{5}
\end{scope}
%a0
\begin{scope}[shift={(-.5, 0)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \UP{3} \DN{4}
\RAY{0} \CIRCLE{1} \MRAY{3} \MRAY{4}
\end{scope}
%a1
\begin{scope}[shift={(-.5, -1)},x=.27em,y=.45em]
\DN{0} \UP{1} \UP{2} \DN{3}
\CIRCLE{0} \MRAY{2} \MRAY{3}
\end{scope}
%a2
\begin{scope}[shift={(-.5, -2)},x=.27em,y=.45em]
\DN{0} \UP{1} \UP{2} \DN{3} \UP{4} \DN{5}
\CIRCLE{0} \MRAY{2} \CIRCLE{3} \MRAY{5}
\end{scope}
%a3
\begin{scope}[shift={(-.5, -3)},x=.27em,y=.45em]
\DN{0} \UP{1} \UP{2} \DN{3} \UP{4} \UP{5} \DN{6}
\CIRCLE{0} \MRAY{2} \CIRCLE{3} \RAY{5} \MRAY{6}
\end{scope}
%a4
\begin{scope}[shift={(-.5, -4)},x=.27em,y=.45em]
\DN{0} \UP{1} \UP{2} \DN{3} \UP{4} \UP{5} \UP{6} \DN{7}
\CIRCLE{0} \MRAY{2} \CIRCLE{3} \RAY{5} \RAY{6} \MRAY{7}
\end{scope}
%a5
\begin{scope}[shift={(-.5, -5)},x=.27em,y=.45em]
\DN{0} \UP{1} \UP{2} \DN{3} \UP{4} \UP{5} \UP{6} \UP{7} \DN{8}
\CIRCLE{0} \MRAY{2} \CIRCLE{3} \RAY{5} \RAY{6} \RAY{7} \MRAY{8}
\end{scope}
%b-1
\begin{scope}[shift={(1.5, 0)},x=.27em,y=.45em]
\UP{0} \UP{1} \DN{2} \UP{3} \UP{4} \DN{5} \UP{6} \DN{7}
\RAY{0} \RAY{1} \CIRCLE{2} \MRAY{4} \CIRCLE{5} \MRAY{7}
\end{scope}
%b0
\begin{scope}[shift={(1.5, -1)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \UP{3} \DN{4} \UP{5} \DN{6}
\RAY{0} \CIRCLE{1} \MRAY{3} \CIRCLE{4} \MRAY{6}
\end{scope}
%b1
\begin{scope}[shift={(1.5, -5)},x=.27em,y=.45em]
\DN{0} \UP{1} \UP{2} \DN{3} \UP{4} \UP{5} \DN{6} \UP{7} \DN{8}
\CIRCLE{0} \MRAY{2} \CIRCLE{3} \RAY{5} \CIRCLE{6} \MRAY{8}
\end{scope}
%b2
\begin{scope}[shift={(1.5, -6)},x=.27em,y=.45em]
\DN{0} \UP{1} \UP{2} \DN{3} \UP{4} \UP{5} \UP{6} \DN{7} \UP{8} \DN{9}
\CIRCLE{0} \MRAY{2} \CIRCLE{3} \RAY{5} \RAY{6} \CIRCLE{7} \MRAY{9}
\end{scope}
%c-1
\begin{scope}[shift={(3.5, -1)},x=.27em,y=.45em]
\UP{0} \UP{1} \DN{2} \UP{3} \UP{4} \DN{5} \UP{6} \UP{7} \DN{8}
\RAY{0} \RAY{1} \CIRCLE{2} \MRAY{4} \CIRCLE{5} \RAY{7} \MRAY{8}
\end{scope}
%c0
\begin{scope}[shift={(3.5, -2)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \UP{3} \DN{4} \UP{5} \UP{6} \DN{7}
\RAY{0} \CIRCLE{1} \MRAY{3} \CIRCLE{4} \RAY{6} \MRAY{7}
\end{scope}
%c1
\begin{scope}[shift={(3.5, -6)},x=.27em,y=.45em]
\DN{0} \UP{1} \UP{2} \DN{3} \UP{4} \DN{5} \UP{6} \UP{7} \DN{8}
\CIRCLE{0} \MRAY{2} \CIRCLE{3} \CIRCLE{5} \RAY{7} \MRAY{8}
\end{scope}
%c2
\begin{scope}[shift={(3.5, -7)},x=.27em,y=.45em]
\DN{0} \UP{1} \UP{2} \DN{3} \UP{4} \UP{5} \DN{6} \UP{7} \UP{8} \DN{9}
\CIRCLE{0} \MRAY{2} \CIRCLE{3} \RAY{5} \CIRCLE{6} \RAY{8} \MRAY{9}
\end{scope}
%d-1
\begin{scope}[shift={(5.5, -2)},x=.27em,y=.45em]
\UP{0} \UP{1} \DN{2} \UP{3} \UP{4} \DN{5} \UP{6} \UP{7} \UP{8} \DN{9}
\RAY{0} \RAY{1} \CIRCLE{2} \MRAY{4} \CIRCLE{5} \RAY{7} \RAY{8} \MRAY{9}
\end{scope}
%d0
\begin{scope}[shift={(5.5, -3)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \UP{3} \DN{4} \UP{5} \UP{6} \UP{7} \DN{8}
\RAY{0} \CIRCLE{1} \MRAY{3} \CIRCLE{4} \RAY{6} \RAY{7} \MRAY{8}
\end{scope}
%d1
\begin{scope}[shift={(5.5, -7)},x=.27em,y=.45em]
\DN{0} \UP{1} \UP{2} \DN{3} \DN{4} \UP{5} \UP{6} \UP{7} \DN{8}
\CIRCLE{0} \MRAY{2} \SCCIRCLE{3} \CIRCLE{4} \RAY{7} \MRAY{8}
\end{scope}
%d2
\begin{scope}[shift={(5.5, -8)},x=.27em,y=.45em]
\DN{0} \UP{1} \UP{2} \DN{3} \UP{4} \DN{5} \UP{6} \UP{7} \UP{8} \DN{9}
\CIRCLE{0} \MRAY{2} \CIRCLE{3} \CIRCLE{5} \RAY{7} \RAY{8} \MRAY{9}
\end{scope}
%e-1
\begin{scope}[shift={(11.5, -1)},x=.27em,y=.45em]
\UP{0} \UP{1} \DN{2} \UP{3} \UP{4} \DN{5} \DN{6} \UP{7} \DN{8}
\RAY{0} \RAY{1} \CIRCLE{2} \MRAY{4} \RAY{5} \CIRCLE{6} \MRAY{8}
\end{scope}
%e0
\begin{scope}[shift={(11.5, -2)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \UP{3} \DN{4} \DN{5} \UP{6} \DN{7}
\RAY{0} \CIRCLE{1} \MRAY{3} \RAY{4} \CIRCLE{5} \MRAY{7}
\end{scope}
%e1
\begin{scope}[shift={(11.5, -3)},x=.27em,y=.45em]
\DN{0} \UP{1} \UP{2} \DN{3} \DN{4} \UP{5} \DN{6}
\CIRCLE{0} \MRAY{2} \RAY{3} \CIRCLE{4} \MRAY{6}
\end{scope}
%f0
\begin{scope}[shift={(6.5,-4)},x=.27em,y=.45em]
\DN{0} \UP{1} \UP{2} \DN{3} \UP{4} \DN{5} \UP{6} \DN{7}
\CIRCLE{0} \MRAY{2} \CIRCLE{3} \CIRCLE{5} \MRAY{7}
\end{scope}
%g0
\begin{scope}[shift={(8.5,-5)},x=.27em,y=.45em]
\DN{0} \UP{1} \UP{2} \DN{3} \DN{4} \UP{5} \UP{6} \DN{7}
\CIRCLE{0} \MRAY{2} \SCCIRCLE{3} \CIRCLE{4} \MRAY{7}
\end{scope}
%f1
\begin{scope}[shift={(14.5,-2)},x=.27em,y=.45em]
\UP{0} \UP{1} \DN{2}\UP{3} \UP{4} \DN{5} \UP{6} \DN{7} \UP{8} \DN{9}
\RAY{0} \RAY{1} \CIRCLE{2} \MRAY{4} \CIRCLE{5} \CIRCLE{7} \MRAY{9}
\end{scope}
%f2
\begin{scope}[shift={(14.5,-3)},x=.27em,y=.45em]
\UP{0} \DN{1} \UP{2} \UP{3} \DN{4} \UP{5} \DN{6} \UP{7} \DN{8}
\RAY{0} \CIRCLE{1} \MRAY{3} \CIRCLE{4} \CIRCLE{6} \MRAY{8}
\end{scope}
\end{scope}
\begin{scope}[shift={(0, -12)}]
\foreach \x in {0,1,...,5}
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em] (a\x) at (0, -\x) {};
\path[-, line width=.5pt, line cap=round] (a0) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{2n-2}$} (a1);
\path[-, line width=.5pt, line cap=round] (a1) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{2n-1}$} (a2);
\path[-, line width=.5pt, line cap=round] (a2) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{2n}$} (a3);
\path[-, line width=.5pt, line cap=round] (a3) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{2n+1}$} (a4);
\path[-, line width=.5pt, line cap=round] (a4) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{2n+2}$} (a5);
%
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](b0) at (2, -1) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](b1) at (2, -2) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](c0) at (4, -2) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](c1) at (4, -3) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](d0) at (6, -3) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](d1) at (6, -4) {};
\path[-, line width=.5pt, line cap=round] (a0) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (b0);
\path[-, line width=.5pt, line cap=round] (b0) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (c0);
\path[-, line width=.5pt, line cap=round] (d0) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (c0);
\path[-, line width=.5pt, line cap=round] (b1) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (a1);
\path[-, line width=.5pt, line cap=round] (b1) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (c1);
\path[-, line width=.5pt, line cap=round] (c1) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (d1);
\path[-, line width=.5pt, line cap=round] (b0) edge node[right=-.55ex, yshift=-.38em,font=\tiny,pos=.1] {$\bar y_{2n-1}^4$} (b1);
\path[-, line width=.5pt, line cap=round] (c0) edge node[right=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{2n}^5$} (c1);
\path[-, line width=.5pt, line cap=round] (d0) edge node[right=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{2n+1}^6$} (d1);
\path[-, line width=.5pt, line cap=round] (a3) edge node[right=.4ex, xshift=.3em, yshift=.15em,font=\tiny,pos=.1] {$\bar y_{2n}^4$} (b1);
\path[-, line width=.5pt, line cap=round] (a4) edge node[right=.4ex, xshift=1.35em, yshift=.2em,font=\tiny,pos=.1] {$\bar y_{2n+1}^5$} (c1);
\path[-, line width=.5pt, line cap=round] (a5) edge node[right=.4ex, xshift=1.95em, yshift=.15em,font=\tiny,pos=.1] {$\bar y_{2n+2}^6$} (d1);
%a0
\begin{scope}[shift={(-.5,0)},x=.27em,y=.45em]
\DN{0} \UP{1} \UP{2} \DN{3} \UP{4} \UP{5} \DN{6}
\CIRCLE{0} \RAY{2} \CIRCLE{3} \MRAY{5} \MRAY{6}
\end{scope}
%a1
\begin{scope}[shift={(-.5,-1)},x=.27em,y=.45em]
\DN{0} \UP{1} \DN{2} \UP{3} \UP{4} \DN{5}
\CIRCLE{0} \CIRCLE{2} \MRAY{4} \MRAY{5}
\end{scope}
%a2
\begin{scope}[shift={(-.5,-2)},x=.27em,y=.45em]
\DN{0} \DN{1} \UP{2} \UP{3} \UP{4} \DN{5}
\SCCIRCLE{0} \CIRCLE{1} \MRAY{4} \MRAY{5}
\end{scope}
%a3
\begin{scope}[shift={(-.5,-3)},x=.27em,y=.45em]
\DN{0} \DN{1} \UP{2} \UP{3} \UP{4} \DN{5} \UP{6} \DN{7}
\SCCIRCLE{0} \CIRCLE{1} \MRAY{4} \CIRCLE{5} \MRAY{7}
\end{scope}
%a4
\begin{scope}[shift={(-.7,-4)},x=.27em,y=.45em]
\DN{0} \DN{1} \UP{2} \UP{3} \UP{4} \DN{5} \UP{6} \UP{7} \DN{8}
\SCCIRCLE{0} \CIRCLE{1} \MRAY{4} \CIRCLE{5} \RAY{7} \MRAY{8}
\end{scope}
%a5
\begin{scope}[shift={(-.7,-5)},x=.27em,y=.45em]
\DN{0} \DN{1} \UP{2} \UP{3} \UP{4} \DN{5} \UP{6} \UP{7} \UP{8} \DN{9}
\SCCIRCLE{0} \CIRCLE{1} \MRAY{4} \CIRCLE{5} \RAY{7} \RAY{8} \MRAY{9}
\end{scope}
%b0
\begin{scope}[shift={(1.5,-1)},x=.27em,y=.45em]
\DN{0} \UP{1} \UP{2} \DN{3} \UP{4} \UP{5} \DN{6} \UP{7} \DN{8}
\CIRCLE{0} \RAY{2} \CIRCLE{3} \MRAY{5} \CIRCLE{6} \MRAY{8}
\end{scope}
%b1
\begin{scope}[shift={(1.5,-2)},x=.27em,y=.45em]
\DN{0} \UP{1} \DN{2} \UP{3} \UP{4} \DN{5} \UP{6} \DN{7}
\CIRCLE{0} \CIRCLE{2} \MRAY{4} \CIRCLE{5} \MRAY{7}
\end{scope}
%c0
\begin{scope}[shift={(3.5,-2)},x=.27em,y=.45em]
\DN{0} \UP{1} \UP{2} \DN{3} \UP{4} \UP{5} \DN{6} \UP{7} \UP{8} \DN{9}
\CIRCLE{0} \RAY{2} \CIRCLE{3} \MRAY{5} \CIRCLE{6} \RAY{8} \MRAY{9}
\end{scope}
%c1
\begin{scope}[shift={(3.5,-3)},x=.27em,y=.45em]
\DN{0} \UP{1} \DN{2} \UP{3} \UP{4} \DN{5} \UP{6} \UP{7} \DN{8}
\CIRCLE{0} \CIRCLE{2} \MRAY{4} \CIRCLE{5} \RAY{7} \MRAY{8}
\end{scope}
%d0
\begin{scope}[shift={(5.5,-3)},x=.27em,y=.45em]
\DN{0} \UP{1} \UP{2} \DN{3} \UP{4} \UP{5} \DN{6} \UP{7} \UP{8} \UP{9} \DN{10}
\CIRCLE{0} \RAY{2} \CIRCLE{3} \MRAY{5} \CIRCLE{6} \RAY{8} \RAY{9} \MRAY{10}
\end{scope}
%d1
\begin{scope}[shift={(5.5,-4)},x=.27em,y=.45em]
\DN{0} \UP{1} \DN{2} \UP{3} \UP{4} \DN{5} \UP{6} \UP{7} \UP{8} \DN{9}
\CIRCLE{0} \CIRCLE{2} \MRAY{4} \CIRCLE{5} \RAY{7} \RAY{8} \MRAY{9}
\end{scope}
\end{scope}
\begin{scope}[scale = 1.05, shift={(12.5, -10)}]
\foreach \x in {0,1,...,6}
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em] (a\x) at (0, -\x) {};
\path[-, line width=.5pt, line cap=round] (a0) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {\strut$\bar y_{n(m-1)-1}$} (a1);
\path[-, line width=.5pt, line cap=round] (a1) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{n(m-1)}$} (a2);
\path[-, line width=.5pt, line cap=round] (a2) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{n(m-1)+1}$} (a3);
\draw[dotted, line width=.6pt] (a3) -- ++(a4);
\path[-, line width=.5pt, line cap=round] (a4) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{nm-2}$} (a5);
\path[-, line width=.5pt, line cap=round] (a5) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {$\bar y_{nm-1}$} (a6);
%
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](b0) at (2, -1) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](b1) at (2, -2) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](b2) at (2, -3) {};
\node[shape=ellipse,minimum height=2.4em,minimum width=2.8em](b3) at (2, -4) {};
%
\path[-, line width=.5pt, line cap=round] (a0) edge node[right=.4ex, xshift=-.1em, yshift=-.1em, font=\tiny,pos=.1] {$\bar y_{n(m-1)-1}^0$} (b0);
\path[-, line width=.5pt, line cap=round] (b0) edge node[right=3ex, yshift=-.6em,font=\tiny,pos=.1] {} (a2);
\path[-, line width=.5pt, line cap=round] (b0) edge node[right=.4ex, yshift=-.25em,font=\tiny,pos=.1] {\strut$\bar y_{n(m-1)}^0$} (b1);
\path[-, line width=.5pt, line cap=round] (b1) edge node[left=-.4ex, yshift=-.35em,font=\tiny,pos=.1] {} (a3);
\path[-, line width=.5pt, line cap=round] (b2) edge node[right=.1ex, xshift=-1.6em, yshift=-1.4em, font=\tiny,pos=.1] {$\bar y_{nm-3}'$} (a4);
\path[-, line width=.5pt, line cap=round] (b3) edge node[right=.1ex, xshift=-1.2em, yshift=-1em,font=\tiny,pos=.1] {$\bar y_{nm-2}'$} (a5);
\draw[dotted, line width=.6pt] (b1) -- (b2);
\path[-, line width=.5pt, line cap=round] (b2) edge node[right=2ex, xshift=-.5em, yshift=-.5em,font=\tiny,pos=.1] {$\bar y_{nm-3}^0$} (b3);
\draw[dotted, line width=.6pt] (a0) -- ++(0,.7);
%a0
\begin{scope}[shift={(-1,0)},x=.27em,y=.4em]
\DN{0} \DN{1} \DDOT{2} \DN{3} \DN{4} \UP{5} \DN{6} \UP{7} \UP{8} \DDOT{9} \UP{10} \DN{11}
\MRAY{0} \SCIRCLES{1}{4.5} \SCIRCLES{3}{2.5} \CIRCLE{4} \CIRCLE{6} \RAY{11}
\end{scope}
%a1
\begin{scope}[shift={(-1,-1)},x=.27em,y=.4em]
\DN{0} \DN{1} \DDOT{2} \DN{3} \DN{4} \UP{5} \UP{6}\DDOT{7} \UP{8} \DN{9}
\MRAY{0} \SCIRCLES{1}{3.5} \SCCIRCLE{3} \CIRCLE{4} \RAY{9}
\end{scope}
%a2
\begin{scope}[shift={(-1,-2)},x=.27em,y=.4em]
\DN{0} \DN{1} \DDOT{2} \DN{3} \DN{4} \UP{5} \UP{6}\DDOT{7} \UP{8} \DN{9} \UP{10}
\MRAY{0} \SCIRCLES{1}{3.5} \SCCIRCLE{3} \CIRCLE{4} \CIRCLE{9}
\end{scope}
%a3
\begin{scope}[shift={(-1.2,-3)},x=.27em,y=.4em]
\DN{0} \DN{1} \DDOT{2} \DN{3} \DN{4} \UP{5} \UP{6}\DDOT{7} \UP{8} \DN{9} \UP{10}
\MRAY{0} \SCIRCLES{1}{4.5} \SCCIRCLE{3} \CIRCLE{4} \CIRCLE{8}
\end{scope}
%a4
\begin{scope}[shift={(-1.3,-4)},x=.27em,y=.4em]
\DN{0} \DN{1} \DDOT{2} \DN{3} \DN{4} \DN{5} \UP{6} \UP{7} \DN{8} \UP{9} \UP{10} \DDOT{11} \UP{12}
\MRAY{0} \SCIRCLES{1}{5.5} \SCIRCLES{3}{3.5} \SCCIRCLE{4}\CIRCLE{5} \CIRCLE{8}
\end{scope}
%a5
\begin{scope}[shift={(-1.2,-5)},x=.27em,y=.4em]
\DN{0} \DN{1} \DDOT{2} \DN{3} \DN{4} \UP{5} \DN{6} \UP{7} \UP{8} \DDOT{9} \UP{10}
\MRAY{0} \SCIRCLES{1}{4.5} \SCIRCLES{3}{2.5} \CIRCLE{4}\CIRCLE{6}
\end{scope}
%a6
\begin{scope}[shift={(-1,-6)},x=.27em,y=.4em]
\DN{0} \DN{1} \DDOT{2} \DN{3} \DN{4} \UP{5} \UP{6}\DDOT{7} \UP{8}
\MRAY{0} \SCIRCLES{1}{3.5} \SCCIRCLE{3} \CIRCLE{4}
\end{scope}
%b0
\begin{scope}[shift={(1.7,-.95)},x=.27em,y=.4em]
\DN{0} \DN{1} \DDOT{2} \DN{3} \DN{4} \UP{5} \DN{6} \UP{7} \UP{8} \DDOT{9} \UP{10} \DN{11} \UP{12}
\MRAY{0} \SCIRCLES{1}{4.5} \SCIRCLES{3}{2.5} \CIRCLE{4} \CIRCLE{6}\CIRCLE{11}
\end{scope}
%b1
\begin{scope}[shift={(1.7,-2.1)},x=.27em,y=.4em]
\DN{0} \DN{1} \DDOT{2} \DN{3} \DN{4} \UP{5} \DN{6} \UP{7} \UP{8} \DDOT{9} \DN{10} \UP{11} \UP{12}
\MRAY{0} \SCIRCLES{1}{5.5} \SCIRCLES{3}{2.5} \CIRCLE{4} \CIRCLE{6}\CIRCLE{10}
\end{scope}
%b2
\begin{scope}[shift={(1.7,-3)},x=.27em,y=.4em]
\DN{0} \DN{1} \DDOT{2}\DN{3} \DN{4} \UP{5} \DN{6} \UP{7} \DN{8} \UP{9} \UP{10} \DDOT{11} \UP{12}
\MRAY{0} \SCIRCLES{1}{5.5} \SCIRCLES{3}{3.5} \CIRCLE{4} \CIRCLE{6}\CIRCLE{8}
\end{scope}
%b3
\begin{scope}[shift={(1.75,-4.2)},x=.27em,y=.4em]
\DN{0} \DN{1} \DDOT{2} \DN{3} \DN{4} \UP{5} \DN{6} \DN{7} \UP{8} \UP{9} \UP{10} \DDOT{11} \UP{12}
\MRAY{0} \SCIRCLES{1}{5.5} \SCIRCLES{3}{3.5} \CIRCLE{4} \SCCIRCLE{6}\CIRCLE{7}
\end{scope}
\end{scope}
\end{scope}
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2211.03354 | arxiv | 2022-11-08T02:20:23 | |
Root diagram of $\mathfrak{su}(3)$ where the positive roots are given by $\alpha = (1,0)$, $\beta=\left(-\frac{1}{2}, \frac{\sqrt{3}}{2} \right)$ and $\alpha+\beta=\left(\frac{1}{2}, \frac{\sqrt{3}}{2} \right)$. The simple roots are given by $\alpha$ and $\beta$. The blue shaded area is the positive Weyl chamber. | \documentclass[12pt,reqno]{amsart}
\usepackage{xcolor,hyperref,tikz-cd,cancel}
\usepackage{xcolor}
\usepackage{amsmath,enumerate,breqn}
\usepackage[framemethod=tikz]{mdframed}
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\begin{document}
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% Text Node
\draw (426.33,123.33) node [anchor=north west][inner sep=0.75pt] {$\alpha $};
% Text Node
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% Text Node
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% Text Node
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% Text Node
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% Text Node
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| https://arxiv.org/abs/2211.13558 | arxiv | 2022-11-28T02:11:34 | |
Left:The toric diagram for a 3d canonical singularity. M theory on it gives rise to a 5d $\mathcal{N}=1$ SCFT without any flavor symmetry; Right: The Coulomb branch geometry for the 5d KK theory defined using the toric diagram on the left. There are a total of five $I_1$ singularities at the bulk. | \documentclass[a4paper,11pt]{article}
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" | https://arxiv.org/abs/2212.02472 | arxiv | 2022-12-06T02:31:26 | |
CDF of the $\text{PEB}_1$ for both UEs at different locations inside a $\unit[7\times 7]{m^2}$ area. RIS (L) indicates RISs are located in an L-shape, as shown in Fig.~\ref{fig_multiple_RISs} (a), and RIS (P) indicates RISs are located in parallel, as shown in Fig.~\ref{fig_multiple_RISs} (b). | \documentclass[journal]{IEEEtran}
\usepackage{bm,comment,color}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{calc}
\usetikzlibrary{spy,backgrounds}
\pgfplotsset{compat=newest}
\usetikzlibrary{plotmarks}
\usetikzlibrary{arrows.meta}
\usepgfplotslibrary{patchplots}
\usepgfplotslibrary{fillbetween}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}
\begin{axis}[%
width=2.99in,
height=1.8in,
at={(0in,0in)},
scale only axis,
xmode=log,
%ymode=log,
xmin=0.01,
xmax=1,
xminorticks=true,
xlabel style={font=\color{white!15!black},font=\footnotesize},
xlabel={Error [m]},
ymin=0.1,
ymax=1,
ylabel style={font=\color{white!15!black},font=\footnotesize},
ylabel={CDF},
axis background/.style={fill=white},
xmajorgrids,
xminorgrids,
ymajorgrids,
legend style={at={(1,0)}, anchor=south east, ,font=\footnotesize, legend cell align=left, align=left, draw=white!15!black, legend columns=1}
]
\addplot [color=blue, mark=o, line width=0.7pt, mark options={solid, blue}]
table[row sep=crcr]{%
0.01 0.872553102873803\\
0.0114975699539774 0.897230320699708\\
0.0132194114846603 0.914306538942107\\
0.0151991108295293 0.926176593086214\\
0.0174752840000768 0.936484798000833\\
0.0200923300256505 0.946064139941691\\
0.0231012970008316 0.954394002498959\\
0.0265608778294669 0.963036234902124\\
0.0305385550883342 0.969804248229904\\
0.0351119173421513 0.975843398583923\\
0.0403701725859655 0.978758850478967\\
0.0464158883361278 0.980216576426489\\
0.0533669923120631 0.981674302374011\\
0.0613590727341317 0.982299042065806\\
0.0705480231071865 0.983236151603499\\
0.0811130830789687 0.984069137859225\\
0.093260334688322 0.986255726780508\\
0.107226722201032 0.987296959600167\\
0.123284673944207 0.987817576009996\\
0.141747416292681 0.988338192419825\\
0.162975083462064 0.988754685547688\\
0.187381742286038 0.98896293211162\\
0.215443469003188 0.98896293211162\\
0.247707635599171 0.98896293211162\\
0.28480358684358 0.98896293211162\\
0.327454916287773 0.98896293211162\\
0.376493580679247 0.98896293211162\\
0.432876128108306 0.98896293211162\\
0.497702356433211 0.98896293211162\\
0.572236765935022 0.98896293211162\\
0.657933224657568 0.98896293211162\\
0.756463327554629 0.98896293211162\\
0.869749002617783 0.989171178675552\\
1 0.989587671803415\\
};
\addlegendentry{4-RIS}
\addplot [color=green, mark=diamond, line width=0.7pt, mark options={solid, green}]
table[row sep=crcr]{%
0.01 0.614431486880466\\
0.0114975699539774 0.659933361099542\\
0.0132194114846603 0.706268221574344\\
0.0151991108295293 0.741670137442732\\
0.0174752840000768 0.767388588088297\\
0.0200923300256505 0.795293627655144\\
0.0231012970008316 0.823511037067888\\
0.0265608778294669 0.844960433152853\\
0.0305385550883342 0.863390254060808\\
0.0351119173421513 0.879945855893378\\
0.0403701725859655 0.897959183673469\\
0.0464158883361278 0.911911703456893\\
0.0533669923120631 0.923573511037068\\
0.0613590727341317 0.933881715951687\\
0.0705480231071865 0.942732194918784\\
0.0811130830789687 0.95085381091212\\
0.093260334688322 0.957517700957934\\
0.107226722201032 0.962411495210329\\
0.123284673944207 0.96688879633486\\
0.141747416292681 0.969804248229904\\
0.162975083462064 0.973136193252811\\
0.187381742286038 0.975947521865889\\
0.215443469003188 0.977613494377343\\
0.247707635599171 0.979279466888796\\
0.28480358684358 0.981257809246147\\
0.327454916287773 0.982923781757601\\
0.376493580679247 0.984589754269055\\
0.432876128108306 0.985839233652645\\
0.497702356433211 0.986255726780508\\
0.572236765935022 0.986672219908372\\
0.657933224657568 0.986880466472303\\
0.756463327554629 0.986984589754269\\
0.869749002617783 0.987088713036235\\
1 0.987505206164098\\
};
\addlegendentry{3-RIS}
\addplot [color=black, dashed, line width=0.7pt, mark=+, mark options={solid, black}]
table[row sep=crcr]{%
0.01 0.394106622240733\\
0.0114975699539774 0.431382757184506\\
0.0132194114846603 0.473136193252811\\
0.0151991108295293 0.510516451478551\\
0.0174752840000768 0.548937942523948\\
0.0200923300256505 0.585381091211995\\
0.0231012970008316 0.624739691795085\\
0.0265608778294669 0.662640566430654\\
0.0305385550883342 0.697001249479384\\
0.0351119173421513 0.728238234069138\\
0.0403701725859655 0.758954602249063\\
0.0464158883361278 0.790608079966681\\
0.0533669923120631 0.817263640149938\\
0.0613590727341317 0.840899625156185\\
0.0705480231071865 0.864431486880466\\
0.0811130830789687 0.885464389837568\\
0.093260334688322 0.905768429820908\\
0.107226722201032 0.92326114119117\\
0.123284673944207 0.935443565181175\\
0.141747416292681 0.947938359017076\\
0.162975083462064 0.957101207830071\\
0.187381742286038 0.963765097875885\\
0.215443469003188 0.969491878384007\\
0.247707635599171 0.975114535610162\\
0.28480358684358 0.979904206580591\\
0.327454916287773 0.982611411911703\\
0.376493580679247 0.985318617242815\\
0.432876128108306 0.986776343190337\\
0.497702356433211 0.987609329446064\\
0.572236765935022 0.988338192419825\\
0.657933224657568 0.988650562265723\\
0.756463327554629 0.989067055393586\\
0.869749002617783 0.989275301957518\\
1 0.989587671803415\\
};
\addlegendentry{2-RIS (L), known height}
\addplot [color=black, dashed, line width=0.7pt, mark=triangle, mark options={solid, black}]
table[row sep=crcr]{%
0.01 0.342044981257809\\
0.0114975699539774 0.380674718867139\\
0.0132194114846603 0.421491045397751\\
0.0151991108295293 0.465014577259475\\
0.0174752840000768 0.506351520199917\\
0.0200923300256505 0.55216576426489\\
0.0231012970008316 0.596834652228238\\
0.0265608778294669 0.633798417326114\\
0.0305385550883342 0.671386922115785\\
0.0351119173421513 0.707934194085798\\
0.0403701725859655 0.739483548521449\\
0.0464158883361278 0.764473136193253\\
0.0533669923120631 0.788317367763432\\
0.0613590727341317 0.808621407746772\\
0.0705480231071865 0.830799666805498\\
0.0811130830789687 0.853290295710121\\
0.093260334688322 0.870991253644315\\
0.107226722201032 0.889941690962099\\
0.123284673944207 0.904727197001249\\
0.141747416292681 0.916284881299459\\
0.162975083462064 0.927113702623907\\
0.187381742286038 0.935235318617243\\
0.215443469003188 0.943252811328613\\
0.247707635599171 0.949812578092461\\
0.28480358684358 0.957517700957934\\
0.327454916287773 0.961057892544773\\
0.376493580679247 0.96563931695127\\
0.432876128108306 0.96990837151187\\
0.497702356433211 0.972199083715119\\
0.572236765935022 0.974281549354436\\
0.657933224657568 0.976155768429821\\
0.756463327554629 0.978550603915035\\
0.869749002617783 0.979071220324865\\
1 0.980216576426489\\
};
\addlegendentry{2-RIS (L), Sync}
\addplot [color=red, mark=square, line width=0.7pt, mark options={solid, red}]
table[row sep=crcr]{%
0.01 0.164931278633903\\
0.0114975699539774 0.196064139941691\\
0.0132194114846603 0.241774260724698\\
0.0151991108295293 0.298104956268222\\
0.0174752840000768 0.360370678883798\\
0.0200923300256505 0.407122032486464\\
0.0231012970008316 0.458767180341524\\
0.0265608778294669 0.506143273635985\\
0.0305385550883342 0.548104956268222\\
0.0351119173421513 0.591420241566014\\
0.0403701725859655 0.629737609329446\\
0.0464158883361278 0.663265306122449\\
0.0533669923120631 0.694294044148272\\
0.0613590727341317 0.725739275301958\\
0.0705480231071865 0.760099958350687\\
0.0811130830789687 0.790087463556851\\
0.093260334688322 0.815493544356518\\
0.107226722201032 0.83725531028738\\
0.123284673944207 0.854748021657643\\
0.141747416292681 0.869325281132861\\
0.162975083462064 0.884110787172012\\
0.187381742286038 0.895564348188255\\
0.215443469003188 0.905560183256976\\
0.247707635599171 0.912952936276551\\
0.28480358684358 0.919096209912536\\
0.327454916287773 0.927634319033736\\
0.376493580679247 0.932528113286131\\
0.432876128108306 0.935651811745106\\
0.497702356433211 0.93981674302374\\
0.572236765935022 0.942315701790921\\
0.657933224657568 0.945543523531862\\
0.756463327554629 0.94835485214494\\
0.869749002617783 0.950541441066222\\
1 0.951895043731778\\
};
\addlegendentry{2-RIS (P)}
\addplot [color=black, line width=0.7pt]
table[row sep=crcr]{%
0.01 0.165660141607664\\
0.0114975699539774 0.196064139941691\\
0.0132194114846603 0.220949604331529\\
0.0151991108295293 0.251874219075385\\
0.0174752840000768 0.281028738025823\\
0.0200923300256505 0.309662640566431\\
0.0231012970008316 0.339858392336526\\
0.0265608778294669 0.372969596001666\\
0.0305385550883342 0.404414827155352\\
0.0351119173421513 0.436693044564765\\
0.0403701725859655 0.467617659308621\\
0.0464158883361278 0.498125780924615\\
0.0533669923120631 0.528009162848813\\
0.0613590727341317 0.558100791336943\\
0.0705480231071865 0.590170762182424\\
0.0811130830789687 0.618179925031237\\
0.093260334688322 0.641815910037484\\
0.107226722201032 0.669408579758434\\
0.123284673944207 0.692628071636818\\
0.141747416292681 0.717513536026656\\
0.162975083462064 0.74323198667222\\
0.187381742286038 0.762182423990004\\
0.215443469003188 0.780403998334028\\
0.247707635599171 0.796855476884631\\
0.28480358684358 0.816326530612245\\
0.327454916287773 0.833819241982507\\
0.376493580679247 0.846834652228238\\
0.432876128108306 0.857975843398584\\
0.497702356433211 0.870991253644315\\
0.572236765935022 0.881611828404831\\
0.657933224657568 0.890462307371928\\
0.756463327554629 0.898375676801333\\
0.869749002617783 0.906705539358601\\
1 0.914202415660142\\
};
\addlegendentry{2-RIS (L)}
\end{axis}
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2302.12459 | arxiv | 2023-02-27T02:07:16 | |
Schematic representation of the long-multiplet $\mathcal{L}_r$, see \cite{Kos:2018glc} for more details. The arrows going to the left (right) represent the action of $G^a_{-\frac{1}{2}}$ $\left(\bar{G}^b_{-\frac{1}{2}}\right)$. In the figure only the $SU(2)$ indices are shown. Operators in the same line have the same conformal dimension $h$ and the dimension grows by half when moving to the next line above. | \documentclass[a4paper]{article}
\usepackage{amssymb,amsmath,xypic}
\usepackage{graphicx,color,xcolor,subfigure}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.8]
\draw[-stealth](0.1,0) -- (-2/3+0.1,2/3); %seta1
\draw[stealth-](-0.1,0) -- (-2/3-0.1,2/3); %seta1,2
\draw[stealth-](-4/3+0.1,4/3) -- (-2+0.1,2); %seta2
\draw[-stealth](-4/3-0.1,4/3) -- (-2-0.1,2); %seta2
\draw[stealth-](-2+0.1,2+2/3) -- (-2+2/3+0.1,2+4/3); %seta3
\draw[-stealth](-2-0.1,2+2/3) -- (-2+2/3-0.1,2+4/3); %seta3
\draw[stealth-](-2+4/3+0.1,4) -- (0.1,4+2/3); %seta4
\draw[-stealth](-2+4/3-0.1,4) -- (-0.1,4+2/3); %seta4
\draw[stealth-](2/3+0.1,4+2/3) -- (4/3+0.1,4);%%%%%% %seta5
\draw[-stealth](2/3-0.1,4+2/3) -- (4/3-0.1,4);%%%%%% %seta5
\draw[stealth-] (2+0.1,4-2/3) -- (8/3+0.1,4-4/3); %seta6
\draw[-stealth] (2-0.1,4-2/3) -- (8/3-0.1,4-4/3); %seta6
\draw[stealth-] (4/3+4/3+0.1,4-4/3-2/3) -- (4/3+2/3+0.1,4-4/3-4/3); %seta7
\draw[-stealth] (4/3+4/3-0.1,4-4/3-2/3) -- (4/3+2/3-0.1,4-4/3-4/3); %seta7
\draw[stealth-] (4/3+0.1,2-4/3) -- (2/3+0.1,0); %seta8
\draw[-stealth] (4/3-0.1,2-4/3) -- (2/3-0.1,0); %seta8
\draw[-stealth] (4/3+0.1,4-4/3-4/3) -- (2/3+0.1,4-4/3-2/3); %seta9
\draw[stealth-] (4/3-0.1,4-4/3-4/3) -- (2/3-0.1,4-4/3-2/3); %seta9
\draw[stealth-] (4/3-2+0.1,4-4/3-4/3) -- (0.1,4-4/3-2/3);%seta10
\draw[-stealth] (4/3-2-0.1,4-4/3-4/3) -- (-0.1,4-4/3-2/3);%seta10
\draw[-stealth] (0.1,4-4/3) -- (-2/3+0.1,4-2/3);%seta11
\draw[stealth-] (-0.1,4-4/3) -- (-2/3-0.1,4-2/3);%seta11
\draw[-stealth] (-2/3+2+0.1,4-2/3) -- (-4/3+2+0.1,4-4/3);%seta12
\draw[stealth-] (-2/3+2-0.1,4-2/3) -- (-4/3+2-0.1,4-4/3);%seta12
\node[] at (-2-1/3,2+1/3) {\small $[r]$};
\node[] at (1/3,4-4/3-1/3) {\small $2 [r],\, [r\pm 2]$};
\node[] at (1/3+5,4-4/3-1/3) {\small $h+1$};
\node[] at (1/3,-1/3) {\small $[r]$};
\node[] at (5,-1/3) {\small $h$};
\node[] at (-1,1) {\small $[r\pm 1]$};
\node[] at (1/3,4-4/3-1/3+8/3) {\small $[r]$};
\node[] at (1/3+5,4-4/3-1/3+8/3) {\small $h+2$};
\node[] at (-1,1+8/3) {\small $[r\pm 1]$};
\node[] at (1/3+5,1+8/3) {\small $h+\frac{3}{2}$};
\node[] at (-1+8/3,1+8/3) {\small $[r\pm 1]$};
\node[] at (1/3+8/3,4-4/3-1/3) {\small $[r]$};
\node[] at (-1+8/3,1) {\small $[r\pm 1]$};
\node[] at (1/3+15/3,1) {\small $h+\frac{1}{2}$};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2211.02702 | arxiv | 2022-11-08T02:01:14 | |
Scaled PBC vectors $t\v{p}$, $s\v{p}_1$ and $r\v{p}_2$ obtained from a parameter search are shown. In order to find potentially better $s$ and $r$ scaling coefficients, a rotation is done around the vector $\v{p}$ by angle $\Delta \alpha$ of $\v{p}_1$ and $\v{p}_2$ to $\v{p}_1'$ and $\v{p}_2'$. | \documentclass{article}
\usepackage{tikz,amssymb}
\usepackage{amsmath}
\usetikzlibrary{decorations.markings,angles,quotes}
\begin{document}
\begin{tikzpicture}
\draw[<->] (0,0,-2)--(0,0,2) node[above]{$x$};
\draw[<->] (-1.5,0,0)--(3,0,0) node[right]{$y$};
\draw[<->] (0,-1,0)--(0,1.5,0) node[above]{$z$};
\coordinate (a) at (1.5,3,1);
\coordinate (b) at (1,1,0);
\coordinate (c) at (0.96,2.59,1.64);
\coordinate (d) at (1.5,1.5,-0.5);
\coordinate (e) at (1,1,0);
\coordinate (f) at (1.33,2.17, -0.435);
\draw[line width=1.5pt,red,-stealth](1,1,0)--(3,1.5,2) node[anchor=south west]{$\v{p}$};
\draw[line width=1.0pt,red,-stealth, dotted](1,1,0)--(5,2,4) node[anchor=south west]{$t\v{p}$};
\draw[line width=1.5pt,blue,-stealth](1,1,0)--(1.5,3,1) node[anchor=east]{$\v{p}_1$};
\draw[line width=1pt,blue,-stealth,dotted](1,1,0)--(1.75,4,1.5) node[anchor=south]{$s\v{p}_1$};
\draw[line width=1.5pt,blue,-stealth](1,1,0)--(1.5,1.5,-0.5) node[anchor=west]{$\v{p}_2$};
\draw[line width=1pt,blue,-stealth,dotted](1,1,0)--(2,2,-1) node[anchor=west]{$r\v{p}_2$};
\draw[line width=1.5pt,blue,-stealth,dashed](1,1,0)--(0.96,2.59,1.64) node[anchor=south east]{$\v{p}_1'$};
\draw[line width=1.5pt,blue,-stealth,dashed](1,1,0)--(1.33,2.17, -0.435) node[anchor=south west]{$\v{p}_2'$};
\draw pic[draw,fill=green!15,angle radius=0.5cm,"$\Delta \alpha$" shift={(-3.5mm,-2mm)}] {angle=a--b--c};
\draw pic[draw,fill=green!15,angle radius=0.5cm] {angle=d--e--f};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2210.01358 | arxiv | 2022-10-12T02:07:43 | |
\textbf{Demand Mapping.} This figure shows how demand, for statistical arbitrageurs, is a function of prices and predictors. The price of stock $i$ in month $t$ is $p_{i,t}$. In this example, the three predictors used are: (1) the book-to-market ratio, (2) the earnings-to-market ratio, and (3) the profitability ratio. Importantly, the \cite{famafrench15} definition of profitability is not a function of prices, so there is no arrow between prices and profitability. The predictors are mapped into the normalized assets predictors, $z_{i,k,t}$. Then portfolio weights are formed as function of these normalized predictors. | \documentclass[12pt,english]{article}
\usepackage[T1]{fontenc}
\usepackage{amsmath,enumerate}
\usepackage{amssymb}
\usepackage[usenames, dvipsnames]{color}
\usepackage{tikz}
\usetikzlibrary{positioning}
\usepackage{tikz}
\usetikzlibrary{positioning}
\usetikzlibrary{decorations.pathreplacing}
\usetikzlibrary{calligraphy}
\usepackage{pgfplots}
\pgfplotsset{compat=newest}
\pgfplotsset{plot coordinates/math parser=false}
\pgfplotsset{compat=newest}
\pgfplotsset{plot coordinates/math parser=false}
\usetikzlibrary{calc}
\usepackage[T3,T1]{fontenc}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}
\node[text centered] at (0,0) {price $= p_{i,t}$};
\draw[->,thick] (1.2, 0) -- (2, 1) node [right] {book to market $= x_{i,1,t}$};
\draw[->,thick] (1.2, 0) -- (2, 0) node [right] {earnings to market $= x_{i,2,t}$};
\node[align=left] at (2,-1) [right] {profitability $= x_{i,3,t}$};
\draw[->,thick] (6.5, 1) -- (10, 1) node [right] {$z_{i,1,t}$};
\node[text centered, above] at (8.25, 1) {normalization};
\draw[->,thick] (7.2, 0) -- (10, 0) node [right] {$z_{i,2,t}$};
\draw[->,thick] (5.8, -1) -- (10, -1) node [right] {$z_{i,3,t}$};
\draw[->,thick] (11, 1) -- (12, 0.1);
\draw[->,thick] (11, 0) -- (12, 0) node [right] {portfolio weight $= w_{i,t}$};
\draw[->,thick] (11, -1) -- (12, -0.1);
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2303.14533 | arxiv | 2023-03-28T02:13:46 | |
Simulated boresight hit maps for one-month (left) and one-year (right) observations. The two panels share the same logarithmic color map, although the range shown is truncated for the one-month case. Unobserved pixels appear gray. | \documentclass[a4paper,11pt]{article}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usepackage{colortbl}
\begin{document}
\begin{tikzpicture}
\node at (0,-2.3) {\includegraphics[width=.475\textwidth]{example-image}};
\node at (0,0) {\textcolor{white}{y}one-month simulation\textcolor{white}{y}};
\node at (7.75,-2.3) {\includegraphics[width=.475\textwidth]{example-image}};
\node at (7.75,0) {one-year simulation};
\foreach \i in {2,...,9}
{
\draw[ultra thin] ({1.7625*(2*log10(\i)/log10(700)-1)},-4.125) -- ({1.7625*(2*log10(\i)/log10(700)-1)},-4.165);
\draw[ultra thin] ({1.7625*(2*log10(\i*10)/log10(700)-1)},-4.125) -- ({1.7625*(2*log10(\i*10)/log10(700)-1)},-4.165);
\ifthenelse{\i<7}{
\draw[ultra thin] ({1.7625*(2*log10(\i*100)/log10(700)-1)},-4.125) -- ({1.7625*(2*log10(\i*100)/log10(700)-1)},-4.165);
}{}
}
\foreach \i in {1,...,2}
{
\draw[ultra thin] ({1.7625*(2*log10(10^\i)/log10(700)-1)},-4.125) -- ({1.7625*(2*log10(10^\i)/log10(700)-1)},-4.19);
}
\begin{scope}[xshift=7.75cm]
\foreach \i in {2,...,9}
{
\draw[ultra thin] ({1.7625*(2*log10(\i)/log10(2000)-1)},-4.125) -- ({1.7625*(2*log10(\i)/log10(2000)-1)},-4.165);
\draw[ultra thin] ({1.7625*(2*log10(\i*10)/log10(2000)-1)},-4.125) -- ({1.7625*(2*log10(\i*10)/log10(2000)-1)},-4.165);
\draw[ultra thin] ({1.7625*(2*log10(\i*100)/log10(2000)-1)},-4.125) -- ({1.7625*(2*log10(\i*100)/log10(2000)-1)},-4.165);
}
\foreach \i in {1,...,3}
{
\draw[ultra thin] ({1.7625*(2*log10(10^\i)/log10(2000)-1)},-4.125) -- ({1.7625*(2*log10(10^\i)/log10(2000)-1)},-4.19);
}
\end{scope}
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2211.05685 | arxiv | 2022-11-11T02:16:06 | |
%Example of a embeddable word, with an embedding. Example~\ref{ex.1}. The edges are labelled with red. The edges with no label have the label $\emptyset$. The binomial numbers correspond to the number of extensions given by their root-to-leaf path, and the $k$ indicates the size of the extended edges. The path root-to-leaf in $T_{(5,9,10)}$ given by $(7,2),(7,1,3),(7,1,4),\emptyset$ represents the extensions of $(5,9,10)$ containing also the $2$ and the $3$, but not containing $7$, $1$ or $4$. Note that the labels on the leaf vertices are the cardinals of the partition sets. In this example, each set in $B_i$ has two vertices related to it, one of them being a leaf vertex, yet in general there may be more. | \documentclass[]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{calc,positioning,fit}
\usetikzlibrary{arrows,decorations.markings}
\begin{document}
\begin{tikzpicture}[scale=0.64,decoration={
markings,
mark=at position 0.5 with {\arrow{>}}}]%
\tikzstyle{vertex}=[circle,fill=black!100,minimum size=10pt,inner sep=0pt]
%
%
\node[label=90:{$T_{(6,7)}$},label=270:{$\binom{10-2}{k-2}$}] (te1) at (-12,2) {$\emptyset$} ;
\node[label=90:{$T_{(7,8)}$}] (te2) at (-10,2) {$6$}
child {node[label=270:{$\binom{10-2-1}{k-2}$}] {$\emptyset$} } ;
\node[label=90:{$T_{(1,2)}$}] (te2) at (-7,2) {$7$}
child {node[label=270:{$\binom{10-2-1}{k-2}$}] {$\emptyset$} }
child { node {$6,8$}
child {node[label=270:{$\binom{10-2-3}{k-3}$}] {$\emptyset$}
}
edge from parent node[right,red] {$7$}
};
\node[label=90:{$T_{(2,3,4)}$}] (te2) at (-3.3,2) {$7,1$}
child {node[label=270:{$\binom{10-3-2}{k-3}$}] {$\emptyset$} }
child { node {$\textcolor{blue}{1},\;6,8$}
child {node[label=270:{$\binom{10-3-4}{k-4}$}] {$\emptyset$}}
edge from parent node[right,red] {$7$}
};
\node[label=90:{$T_{(5,9,10)}$}] (te2) at (5,2) {$7,2$}
[level 1/.style={sibling distance=3.2cm},level 2/.style={sibling distance=1.9cm}]
child {node[label=270:{$\binom{10-3-2}{k-3}$}] {$\emptyset$}}
child {node[] {$\textcolor{blue}{7},\;1,3$}
child {node[label=270:{$\binom{10-3-4}{k-4}$}] {$\emptyset$} }
child {node {$\textcolor{blue}{7,1},\;4$} child {node[label=270:{$\binom{10-3-5}{k-5}$}] {$\emptyset$} }
edge from parent node[right,red] {$3$}}
edge from parent node[left,red] {$2$}}
child {node {$\textcolor{blue}{2},\;6,8$}
child {node[label=270:{$\binom{10-3-4}{k-4}$}] {$\emptyset$} }
edge from parent node[left,red] {$7$}}
child {node {$1,3,6,8$}
child {node[label=270:{$\binom{10-3-6}{k-4}$}] {$\emptyset$} }
child {node {$\textcolor{blue}{1,6,8},\;4$} child {node[label=270:{$\binom{10-3-7}{k-5}$}] {$\emptyset$} }
edge from parent node[right,red] {$3$}} edge from parent node[right,red] {$2,7$}};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2305.10152 | arxiv | 2023-05-18T02:16:31 | |
An integrated toolchain incorporating FreeCAD (parametric CAD modeling software) and OpenFOAM (CFD simulation software) in a Python environment (controlling the process flow and running optimizers and samplers) for CAD design generation, drag evaluation, and optimization in our workflow. | \documentclass[preprint]{elsarticle}
\usepackage{amsmath,amssymb,amsfonts}
\usepackage{amsmath,esint}
\usepackage{xcolor}
\usepackage{colortbl}
\usepackage{pgf}
\usepackage{pgfplots}
\usetikzlibrary{shapes,arrows}
\usetikzlibrary{arrows.meta}
\usetikzlibrary{decorations.pathreplacing}
\usetikzlibrary{shapes.geometric}
\usetikzlibrary{shadows}
\usepackage{pgfplotstable}
\pgfplotsset{compat=1.14}
\begin{document}
\begin{tikzpicture}[scale=0.9]
\node (box) [draw=none, dashed, ultra thick, minimum height = 9cm, minimum width = 17cm] at (0, 0){};
\node (docker1container) [below of=box, xshift=-5cm, yshift=2.9cm,fill=blue!10 ,draw=black, dashed, thin, minimum height = 5.15cm, minimum width=7.0cm] at (0, 0){};
\node (docker1text) [below of=docker1container, xshift=0cm, yshift=3.3cm, align=center]{\textbf{\textit{CAD Docker Container}}};
\node (docker2container) [below of=box, xshift=5cm, yshift=2.9cm, fill=green!10,draw=black, dashed, thin, minimum height = 5.15cm, minimum width=7.0cm] at (0, 0){};
\node (docker1text) [below of=docker2container, xshift=0cm, yshift=3.3cm, align=center]{\textbf{\textit{CFD Docker Container}}};
\node (docker1container) [below of=box, xshift=0 cm, yshift=-1.9cm,fill=red!5 ,draw=black, dashed, thin, minimum height = 3.15cm, minimum width=17.0cm] at (0, 0){};
\node (docker1text) [below of=docker1container, xshift=-4.0cm, yshift=0cm, align=center]{\textbf{\textit{Python environment and scripts}}};
% Left
\node (cadseed) [below of=box, minimum height=2cm, minimum width=2cm, align=center, draw=black, ultra thick, xshift=-7cm, yshift=1.7cm] {CAD Seed \\ Design};
\node (meshing) [below of=box, dashed, minimum height=2cm, minimum width=2cm, align=center, draw=black, ultra thick, xshift=-3.5cm, yshift=3.7cm] {CAD Design + Body\\ Meshing + STL \\ process};
\node (cadtool) [below of=box, minimum height=2cm, minimum width=2cm, align=center, draw=black, ultra thick, xshift=-3.5cm, yshift=1.7cm] {CAD Design\\ Tool (FreeCAD)};
% Center STL
\node (stlfile) [below of=box, minimum height=1cm,, minimum width=1cm, align=center,fill={rgb:orange,1;yellow,2;pink,5}, draw=black, ultra thick, xshift=0cm, yshift=1.7cm] {STL File};
% Right
\node (rans) [below of=box, dashed, minimum height=2cm, minimum width=3.3cm, align=center, draw=black, ultra thick, xshift=3.5cm, yshift=3.7cm] {Meshing + RANS \\ + $k$-$\omega$ SST};
\node (cfd) [below of=box, minimum height=2cm, minimum width=2cm, align=center, draw=black, ultra thick, xshift=3.5cm, yshift=1.7cm] {CFD \\Simulation\\ (OpenFOAM)};
% Right Drag Force
\node (dragforce) [below of=box, minimum height=1cm, minimum width=1cm, align=center, draw=black, ultra thick, xshift=7cm, yshift=1.7cm] {Drag Force};
% Below Initialization
\node (init) [below of=box, minimum height=2cm, minimum width=2cm, align=center, draw=black, ultra thick, xshift=3.5cm, yshift=-1.5cm] {Initialization \\and Boundary\\ Conditions};
% Chosen Parameter
\node (chosenparams) [below of=box, minimum height=2cm, minimum width=2cm, align=center, draw=none, ultra thick, xshift=-1.8cm, yshift=-0.1cm] {Chosen parameters};
% Below Random
\node (randomsampling) [below of=box, minimum height=2cm, minimum width=2.0cm, align=center, draw=black, ultra thick, xshift=-1.8cm, yshift=-1.5cm] {Sampler\\ and\\ Optimizer };
\node (datacollect) [below of=box, minimum height=2cm, minimum width=2.5cm, align=center, draw=black, ultra thick, xshift=0.5 cm, yshift=-1.5cm] {Data\\ Collection};
\node (bds) [below of=box, minimum height=2cm, minimum width=2cm, align=center, draw=black, ultra thick, xshift=-7cm, yshift=-1.5cm] {Bounded\\ Design \\Space };
\draw [ultra thick, -stealth](cadseed) -- (cadtool);
\draw [ultra thick, -stealth](cadtool) -- (stlfile);
\draw [ultra thick, -stealth](stlfile) -- (cfd);
\draw [ultra thick, -stealth](cfd) -- (dragforce);
\draw [ultra thick, -stealth](init) -- (cfd);
\draw [ultra thick, -stealth](bds) -- (randomsampling);
\draw [ultra thick, -stealth](dragforce.south) -- ++(0, -5cm) -- ++(-7.2cm, 0) -- (datacollect);
\draw [ultra thick, -stealth](datacollect.north) -- ++(0, 0.7cm) -- ++(-4.4cm, 0) -- (cadtool.south);
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2304.12420 | arxiv | 2023-04-26T02:02:34 | |
$K_2\square P_3$ with four pairwise strongly cospectral vertices with respect to $\textbf{A}$ whenever $\beta\neq \pm 8\gamma$ marked blue (left) and $K_2\times K_3$ with pairs of strongly cospectral vertices with respect to $\mathcal{A}$ marked blue, white, and pink (right) | \documentclass{article}
\usepackage{amsfonts,epsfig,fancyhdr,graphics, hyperref,amsmath,amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\tikzset{enclosed/.style={draw, circle, inner sep=0pt, minimum size=.25cm}}
\node[enclosed,fill=cyan,label={above, yshift=0cm: $(x,u)$}] (v_1) at (0,1.5) {};
\node[enclosed] (v_2) at (1.5,1.5) {};
\node[enclosed,fill=cyan,label={above, yshift=0cm: $(x,v)$}] (v_3) at (3,1.5) {};
\node[enclosed,fill=cyan,label={below, yshift=0cm: $(y,u)$}] (v_4) at (0,0) {};
\node[enclosed] (v_5) at (1.5,0) {};
\node[enclosed,fill=cyan, label={below, yshift=0cm: $(y,v)$}] (v_6) at (3,0) {};
\draw (v_1) -- (v_2);
\draw (v_1) -- (v_4);
\draw (v_2) -- (v_3);
\draw (v_2) -- (v_5);
\draw (v_4) -- (v_5);
\draw (v_3) -- (v_6);
\draw (v_5) -- (v_6);
\node[enclosed,fill=cyan,label={above, yshift=0cm: $(x,u)$}] (v_1) at (6,1.5) {};
\node[enclosed,label={above, yshift=0cm: $(x,w)$}] (v_2) at (7.5,1.5) {};
\node[enclosed,fill=magenta,label={above, yshift=0cm: $(x,w)$}] (v_3) at (9,1.5) {};
\node[enclosed,fill=cyan,label={below, yshift=0cm: $(y,u)$}] (v_4) at (6,0) {};
\node[enclosed, label={below, yshift=0cm: $(y,v)$}] (v_5) at (7.5,0) {};
\node[enclosed,fill=magenta, label={below, yshift=0cm: $(y,w)$}] (v_6) at (9,0) {};
\draw (v_1) -- (v_5);
\draw (v_2) -- (v_4);
\draw (v_5) -- (v_3);
\draw (v_2) -- (v_6);
\draw (v_1) -- (v_6);
\draw (v_3) -- (v_4);
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2111.01265 | arxiv | 2022-09-16T02:20:25 | |
Functional composition of singular and invertible disformal transformations acting on scalar-tensor theories. For any given singular generalized disformal transformation~$g\to \bar{g}[g,\phi]$ satisfying \eqref{generalized_noninv_cond}, there exists an invertible transformation~$g\to \hat{g}[g,\phi]$ such that $g\to \bar{g}\circ\hat{g}[g,\phi]$ is the canonical singular transformation~\eqref{canonical_noninv}. | \documentclass[notitlepage,nofootinbib,preprintnumbers,amssymb,superscriptaddress]{revtex4-1}
\usepackage{amsfonts,amssymb,mathtools,graphicx,xcolor,bm}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw[thick, rounded corners=0.2cm] (0,5)--(1.5,5)--(1.5,4.2)--(0,4.2)--cycle;
\node[anchor=center] at (0.75,4.6) {\large{$S[g,\phi]$}};
\draw[thick, rounded corners=0.2cm] (5,5)--(8.5,5)--(8.5,4.2)--(5,4.2)--cycle;
\node[anchor=center] at (6.75,4.6) {\large{$S'[g,\phi]\coloneqq S[\bar{g},\phi]$}};
\draw[thick, rounded corners=0.2cm] (3.7,2.4)--(9.8,2.4)--(9.8,1.6)--(3.7,1.6)--cycle;
\node[anchor=center] at (6.75,2) {\large{$S''[g,\phi]\coloneqq S'[\hat{g},\phi]=S[\bar{g}\circ\hat{g},\phi]$}};
% S->S'
\draw[->, >=stealth, thick] (1.6,4.6)--(4.9,4.6);
\node[anchor=center] at (3.25,4.3) {\large{$g\to \bar{g}$}};
\node[anchor=center] at (3.25,4.9) {\large{$\forall$\,singular}};
% S'<->S''
\draw[<->, >=stealth, thick] (6.75,4.1)--(6.75,2.5);
\node[anchor=west] at (6.8,3.3) {\large{$\exists$\,invertible}};
\node[anchor=east] at (6.7,3.3) {\large{$g\leftrightarrow \hat{g}$}};
% S->S''
\draw[->, >=stealth, thick, rounded corners=0.2cm] (0.75,4.1)--(0.75,2)--(3.6,2);
\node[anchor=west] at (0.8,3) {\large{$g\to \bar{g}\circ\hat{g}$}};
\node[rectangle, text width=3.35cm, minimum height=1cm, align=right, anchor=east] at (0.7,3) {\large{singular conformal\\(canonical)}};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2209.02176 | arxiv | 2022-09-07T02:39:32 | |
Graphs $H_5$ (a), $H_5^-$ (b), $\Lambda_{5,5}$ (c), and $\Lambda_{5,5}^-$ (d) | \documentclass[12pt]{article}
\usepackage{epic,latexsym,amssymb}
\usepackage{color}
\usepackage{tikz}
\usepackage{geometry,graphicx,verbatim,amsmath}
\usepackage{tikz,ifthen}
\usetikzlibrary{calc}
\begin{document}
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\draw [color=black](-5.25,3.94) node[anchor=north west] {(a)};
\draw [color=black](-5.29,1.62) node[anchor=north west] {(b)};
\draw [color=black](0.82,3.94) node[anchor=north west] {(c)};
\draw [color=black](0.75,1.62) node[anchor=north west] {(d)};
\draw (-0.4,5)-- (-1.94,4.5);
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\fill [color=black] (2.6,4) circle (3pt);
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\fill [color=black] (-0.41,2.68) circle (3pt);
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\fill [color=black] (0.59,1.68) circle (3pt);
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\fill [color=black] (2.59,2.68) circle (3pt);
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\end{document} | 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" | https://arxiv.org/abs/2305.19620 | arxiv | 2023-06-01T02:13:28 | |
Construction of the $U$ and $F$ polynomials for the non-planar massless vertex {\rm V6l0m}, single terms are shown. See Problem~\ref{problemFU} for a complete solution. | \documentclass{article}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning,matrix}
\usepackage{pgfplots}
\pgfplotsset{compat=newest}
\usepackage{tikz-feynman}
\usepackage{framed,amsmath}
\usetikzlibrary{arrows}
\usetikzlibrary{automata}
\usetikzlibrary{shapes.misc}
\usepackage{tikz}
\usetikzlibrary{decorations.markings}
\usepackage{circuitikz}
\usetikzlibrary{decorations.text,fit,chains,calc,shapes.geometric,intersections}
\usetikzlibrary{patterns,angles,quotes}
\tikzset{
cross/.pic = {
\draw[rotate = 45] (-#1,0) -- (#1,0);
\draw[rotate = 45] (0,-#1) -- (0, #1);
}
}
\begin{document}
\begin{tikzpicture}[scale=1.1]
\draw [thick] (0,0) -- (1,0);
\draw [thick] (1,0) -- (4,1);
\draw [thick] (1,0) -- (4,-1);
\draw [thick] (2,.31) -- (2.35,0.05);
\draw [thick] (2.55,-0.08) -- (3.5,-.85);
\draw [thick] (2,-.36) -- (3.5,0.85);
\draw [dotted,red,very thick] (1.5,.4) -- (1.5,0);
\draw [dotted,red,very thick] (2.5,.7) -- (2.5,0.2);
\node at (1.2,0.4) {\scriptsize{$1$}};
\node at (1.2,-0.3) {\scriptsize{$6$}};
\node at (2.7,0.8) {\scriptsize{$2$}};
\node at (2.7,-0.8) {\scriptsize{$5$}};
\node at (3.,0.3) {\scriptsize{$3$}};
\node at (3.,-0.3) {\scriptsize{$4$}};
\node at (4.,0) {\scriptsize{{\bf{ $U \sim x_1 x_2$}}}};
%%%%F
\draw [thick] (5,0) -- (6,0);
\draw [thick] (6,0) -- (9,1);
\draw [thick] (6,0) -- (9,-1);
\draw [thick] (7,.31) -- (7.35,0.05);
\draw [thick] (7.55,-0.08) -- (8.5,-.85);
\draw [thick] (7,-.36) -- (8.5,0.85);
\draw [dotted,red,very thick] (6.5,.4) -- (6.5,-.4);
\draw [dotted,red,very thick] (7.5,.7) -- (7.5,0.2);
\node at (6.2,0.4) {\scriptsize{$1$}};
\node at (6.2,-0.3) {\scriptsize{$6$}};
\node at (7.7,0.8) {\scriptsize{$2$}};
\node at (7.7,-0.8) {\scriptsize{$5$}};
\node at (8.,0.3) {\scriptsize{$3$}};
\node at (8.,-0.3) {\scriptsize{$4$}};
\node at (9.,0) {\scriptsize{{\bf{ $F \sim -s x_1 x_2 x_6$}}}};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2211.13733 | arxiv | 2022-11-28T02:15:53 | |
\emph{% The data-generating process for our stylized example of criminal behavior (true label) and arrest (proxy label), with observed variables highlighted in orange. } | \documentclass[11pt]{article}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}[xscale = 3.5, yscale = 3, align = center]
\node (Z) at (0, 0)
{\colorbox{orange!50}{\(Z\)}\\{\footnotesize Neighborhood}};
\node (A0) at (-1, 1)
{\colorbox{orange!50}{\(A_0\)}\\{\footnotesize Arrests at \(t=0\)}};
\node (A1) at (1, 1)
{\colorbox{orange!50}{\(A_1\)}\\{\footnotesize Arrests at \(t=1\)}};
\node (B0) at (-1, 2)
{\(B_0\)\\{\footnotesize Behavior at \(t=0\)}};
\node (B1) at (1, 2)
{\(B_1\)\\{\footnotesize Behavior at \(t=1\)}};
\draw[-Latex, line width=1pt] (Z) to (A0);
\draw[-Latex, line width=1pt] (Z) to (A1);
\draw[-Latex, line width=1pt] (B0) to (A0);
\draw[-Latex, line width=1pt] (B1) to (A1);
\draw[Latex-Latex, line width=1pt, dashed] (B0) to (B1);
\draw[-Latex, line width=1pt] (Z) to [out=170, in=220, looseness=1.5] (B0);
\draw[-Latex, line width=1pt] (Z) to [out=10, in=320, looseness=1.5] (B1);
\node at (-.65, .45) {\(\alpha\)};
\node at (.65, .45) {\(\alpha\)};
\node at (-1.75, 1) {\(\beta\)};
\node at (1.75, 1) {\(\beta\)};
\node at (-1.1, 1.5) {\(\gamma\)};
\node at (1.1, 1.5) {\(\gamma\)};
\node at (0, 2.15) {\(\delta\)};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2305.12638 | arxiv | 2023-05-23T02:23:55 | |
{\em Artificial Intelligence} (AI), {\em Machine Learning} (ML), and {\em Deep Learning} (DL). {\em Cybernetics} is broad and encompasses many fields, including AI. See also Figure~\ref{fig:AI.ML.DL}. % Section~\ref{sc:history} on Historical perspective. | \documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[dvipsnames]{xcolor}
\usepackage{tikz}
\usetikzlibrary{arrows,intersections,calc}
\usepackage{pgfplots}
\pgfplotsset{compat=1.14}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}[
thick,
>=stealth',
dot/.style = {
draw,
fill = white,
circle,
inner sep = 0pt,
minimum size = 4pt
}
]
% artificial intelligence
\draw[black, line width = 1 pt] (0,0) rectangle (11,6.5);
\draw (1,6.0) node[label = {right:{\em Artificial Intelligence (AI)}}] {};
\draw (1,5.6) node[label = {right:e.g., Knowledge bases}] {};
% machine learning
\draw[blue, line width = 2 pt] (0.5,0.5) rectangle (9,5.0);
\draw (1,4.5) node[label = {right:{\em Machine Learning (ML)}}] {};
\draw (1,4.1) node[label = {right:e.g., Support Vector Machine (SVM)}] {};
% in between machine learning and deep learning
\draw[green, line width = 2.5 pt] (1.5,2.5) rectangle (7.8,3.7);
\draw (1.7,3.3) node[label = {right:Neuromorphic (spiking) computing}] {};
% deep learning
\draw[red, line width = 3 pt] (1.0,1.0) rectangle (7,2.8);
\draw (1,2.0) node[label = {right:{\em Deep Learning (DL)}}] {};
\draw (1,1.6) node[label = {right:e.g., Multi-Layer Neurons (MLN)}] {};
% deep learning
% cybernetics
\draw[purple, line width = 4 pt] (-1.0,-1.0) rectangle (16,7.5);
\draw (12.0,7.0) node[label = {right:\underline{\bf Cybernetics}}] {};
\draw (12.0,6.5) node[label = {right:{Biology}}] {};
\draw (12.0,6.0) node[label = {right:{Mathematics}}] {};
\draw (12.0,5.0) node[label = {right:{Neuroscience}}] {};
\draw (12.0,5.5) node[label = {right:{Psychology}}] {};
\draw (12.0,4.5) node[label = {right:{Social sciences}}] {};
\draw (12.0,4.0) node[label = {right:{and more...}}] {};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2212.08989 | arxiv | 2023-01-03T02:08:31 | |
On the left we have the tree before the contraction. On the right, we have the tree after applying \textsc{Binary}. We have highlighted with similar colors the path that is contracted on the left and the final edge on the right. | \documentclass[letterpaper,11pt, margin=1in]{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{xcolor}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc, graphs, graphs.standard, shapes, arrows, positioning, decorations.pathreplacing, decorations.markings, decorations.pathmorphing, fit, matrix, patterns, shapes.misc, tikzmark}
\begin{document}
\begin{tikzpicture}
%
% T
%
\node[draw, circle, minimum size=15pt, inner sep=2pt] at (0,0) (v1-T) {};
\node[draw, circle, minimum size=15pt, inner sep=2pt] at ($(v1-T) + (-1.75,-2)$) (v2-T) {};
\node[draw, circle, minimum size=15pt, inner sep=2pt] at ($(v1-T) + (1.75,-2)$) (v3-T) {};
\node[draw, circle, minimum size=15pt, inner sep=2pt] at ($(v2-T) + (-1,-2)$) (v4-T) {};
\node[draw, circle, minimum size=15pt, inner sep=2pt] at ($(v2-T) + (1,-2)$) (v5-T) {};
\node[draw, circle, minimum size=15pt, inner sep=2pt] at ($(v1-T) + (1.75,1)$) (v6-T) {};
\node[draw, circle, minimum size=15pt, inner sep=2pt] at ($(v1-T)!0.5!(v2-T)$) (v12-T) {};
\node[draw, circle, minimum size=15pt, inner sep=2pt] at ($(v1-T)!0.5!(v3-T)$) (v13-T) {};
\draw[thick, blue] (v1-T) -- (v12-T) -- (v2-T);
\draw[thick, red] (v1-T) -- (v13-T) -- (v3-T);
\draw[thick] (v1-T) -- (v6-T);
\draw[thick] (v2-T) -- (v4-T);
\draw[thick] (v2-T) -- (v5-T);
%
% Binary(T)
%
\node[draw, circle, minimum size=15pt, inner sep=2pt] at (7,0) (v1-BT) {};
\node[draw, circle, minimum size=15pt, inner sep=2pt] at ($(v1-BT) + (-1.75,-2)$) (v2-BT) {};
\node[draw, circle, minimum size=15pt, inner sep=2pt] at ($(v1-BT) + (1.75,-2)$) (v3-BT) {};
\node[draw, circle, minimum size=15pt, inner sep=2pt] at ($(v2-BT) + (-1,-2)$) (v4-BT) {};
\node[draw, circle, minimum size=15pt, inner sep=2pt] at ($(v2-BT) + (1,-2)$) (v5-BT) {};
\node[draw, circle, minimum size=15pt, inner sep=2pt] at ($(v1-BT) + (1.75,1)$) (v6-BT) {};
\draw[thick, blue] (v1-BT) -- (v2-BT);
\draw[thick, red] (v1-BT) -- (v3-BT);
\draw[thick] (v1-BT) -- (v6-BT);
\draw[thick] (v2-BT) -- (v4-BT);
\draw[thick] (v2-BT) -- (v5-BT);
%
% Labels
% %
\node[] at (-2,0.5) {\small $T$};
\node[] at (5,0.5) {\small $\textsc{BINARY}(T)$};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2211.13291 | arxiv | 2022-11-28T02:01:31 | |
Commutative diagram arising from the LRI mapping hypotheses for $u_0\in E^N\cap B_{E^r}(0,\delta_R)$ and $r+\mu\leqslant s\leqslant R-\mu$. The `$\hookrightarrow$' are the inclusion maps. | \documentclass[11pt,reqno]{amsart}
\usepackage{amssymb,amsmath,amsfonts,amsthm,enumerate,stmaryrd,tensor,mathtools,dsfont,upgreek,bbm,mathrsfs,nameref,microtype,xcolor,bm,tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[space/.style={align=center,inner sep = 0.2 cm,anchor = center}, map/.style={fill=white,align=center,inner sep = 0.2 cm,anchor = center}]
\node at (0,0) [space] (Fs1){
$F^{s+\mu}$
};
\node at (0,3) [space] (Es1){
$E^{s+\mu}$
};
\draw[-stealth] (Fs1) -- (Es1);
\node at (0,1.5) [map] (Fs1Es1){
$L(u_0)$
};
\node at (4,0) [space] (Fs){
$F^s$
};
\node at (4,3) [space] (Es){
$E^s$
};
\draw[-stealth] (Fs) -- (Es);
\node at (4,1.5) [map] (FsEs){
$L(u_0)$
};
\draw[-stealth] (Es1) -- (Fs);
\node at (2,1.5) [map] (Es1Fs){
$D\Psi(u_0)$
};
\draw[right hook-stealth] (Es1) -- (Es);
\draw[right hook-stealth] (Fs1) -- (Fs);
\node at (8,0) [space] (Fs-1){
$F^{s-\mu}$
};
\node at (8,3) [space] (Es-1){
$E^{s-\mu}$
};
\draw[-stealth] (Fs-1) -- (Es-1);
\node at (8,1.5) [map] (Fs-1Es-1){
$L(u_0)$
};
\draw[-stealth] (Es) -- (Fs-1);
\node at (6,1.5) [map] (EsFs-1){
$D\Psi(u_0)$
};
\draw[right hook-stealth] (Fs) -- (Fs-1);
\draw[right hook-stealth] (Es) -- (Es-1);
\node at (10,0) [space] (F0){
$F^0$
};
\node at (10,3) [space] (E0){
$E^0$
};
\draw[right hook-stealth] (Es-1) -- (E0);
\draw[right hook-stealth] (Fs-1) -- (F0);
\node at (-2,0) [space] (FN){
$F^N$
};
\node at (-2,3) [space] (EN){
$E^N$
};
\draw[right hook-stealth] (FN) -- (Fs1);
\draw[right hook-stealth] (EN) -- (Es1);
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2301.00773 | arxiv | 2023-01-03T02:20:53 | |
A minimal poset whose multiset of maximal chain cardinalities is $\{3, 4, 5, 6, 7, 8, 9, 10\} = 3 + \textup{sums}(\{1, 2, 4\})$. Each color represents one of the posets in the ordinal sum. \newline | \documentclass[12pt]{amsart}
\usepackage[utf8]{inputenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{xcolor}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw (0,1) -- (0,11);
\draw (1.5,1.5) -- (1.5,9);
\draw (0,2) -- (1.5,4.5);
\draw (1.5,1.5) -- (0,3.5);
\draw (0,5.5) -- (1.5,9);
\draw (1.5,4.5) -- (0,7);
\fill[red] (0,1) circle (5pt);
\fill[red] (0,2) circle (5pt);
\fill[red] (1.5,1.5) circle (5pt);
\fill[blue] (0,3.5) circle (5pt);
\fill[blue] (0,4.5) circle (5pt);
\fill[blue] (0,5.5) circle (5pt);
\fill[blue] (1.5,4.5) circle (5pt);
\fill[orange] (0,7) circle (5pt);
\fill[orange] (0,8) circle (5pt);
\fill[orange] (0,9) circle (5pt);
\fill[orange] (0,10) circle (5pt);
\fill[orange] (0,11) circle (5pt);
\fill[orange] (1.5,9) circle (5pt);
\end{tikzpicture}
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The relevant monotones on the preordered semiring $S^3$ in the sense of the \emph{test spectrum} of~\cite{Fritz2021b}. In green, we have the matrix $\mathuline{\alpha}$-divergences $D_{\mathuline{\alpha}}$ for $\mathuline{\alpha} \in (A_+ \cup A_-) \setminus \{e_1, \dots, e_d\}$ from~\eqref{eq:MatrDiv}. In red, we have the tropical quantities $D^\T_{\mathuline{\beta}}$ for $\mathuline{\beta} \in B_- \setminus \{0\}$, modulo scaling per Remark~\ref{rem:MatrTropNorm}. In blue, we have the derivation quantities $\Delta^{(k)}_{\mathuline{\gamma}}$ for nonzero $\mathuline{\gamma}$, also modulo scaling. The topology corresponds to the limits of Proposition~\ref{prop:MatrixDivLim}. In comparison with Figure~\ref{fig:d3}, the red tropical part can be thought of as points at infinity, specified by a direction $\mathuline{\beta} \in B_- \setminus \{0\}$, which serve as a compactification similar to points at infinity in the projective plane. The blue derivation part ``blows up'' every vertex in Figure~\ref{fig:d3} to a line. | \documentclass[12pt,a4paper,reqno]{amsart}
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Diagrams for the decay of a charged meson ($ P ^+ $) to an ALP ($ a $), lepton ($ \ell $), and neutrino ($ \nu _\ell $) using the interactions in Eq.\eqref{eq:int}. ({\bf A}) relies on the standard $ \bar\ell \gamma _5 \ell $ vertex. ({\bf B}) uses the enhanced weak-violating vertex. | \documentclass[prl,nofootinbib,twocolumn]{revtex4-2}
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" | https://arxiv.org/abs/2209.00665 | arxiv | 2022-09-05T02:00:19 | |
Hierarchy of the Python classes representing the physical systems and Hamiltonians available as samples in \textsc{WaveTrain} . Selected attributes and methods of each class are given in the upper and lower parts, respectively, of the boxes. The corresponding Python files are located in folder wave\_train/hamilton. | \documentclass[preprint,noshowpacs,noshowkeys,aps,pra,nofootinbib]{revtex4-2}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{pgf, tikz}
\usetikzlibrary{positioning}
\usepackage[simplified]{pgf-umlcd}
\begin{document}
\begin{tikzpicture}
\begin{class}[text width=3.6cm]{Chain}{0,0}
\attribute{n\_site}
\attribute{periodic}
\attribute{homogen}
\operation{get\_2Q (n\_dim)}
\operation{get\_TT (n\_basis, qtt)}
\end{class}
\begin{class}[text width=3.3cm]{Exciton}{-5, -2.5}
\inherit{Chain}
\attribute{alpha, beta, eta}
\operation{get\_2Q (n\_dim)}
\operation{get\_SLIM (n\_dim)}
\operation{get\_exact (n\_levels)}
\end{class}
\begin{class}[text width=3.3cm]{Phonon}{5, -2.5}
\inherit{Chain}
\attribute{mass, nu, omg}
\operation{get\_2Q (n\_dim)}
\operation{get\_SLIM (n\_dim)}
\operation{get\_exact (n\_levels)}
\operation{potential (q)}
\operation{kinetic (p)}
\operation{force (q)}
\operation{hess\_pot ()}
\operation{hess\_kin ()}
\end{class}
\begin{class}[text width=3.6cm]{Coupled}{0, -6}
\inherit{Chain}
\attribute{alpha, beta, eta}
\attribute{mass, nu, omg}
\attribute{chi, rho, sig, tau}
\operation{get\_2Q (n\_dims)}
\operation{get\_SLIM (n\_dims)}
\operation{qu\_coupling}
\operation{cl\_coupling}
\end{class}
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2302.03725 | arxiv | 2023-02-14T02:28:26 | |
The arrangement of value blocks in a $(2/5)$-ICD instance. There are three type-1 agents and two type-2 agents. Each color corresponds to a different agent. Note that $\alpha_1 = 1/3 < 2/5 < 1/2 = \alpha_2$. | \documentclass[a4paper,12pt]{article}
\usepackage[utf8]{inputenc}
\usepackage{url,amsfonts, amsmath, amssymb, amsthm,color, enumerate, multicol}
\usepackage{tikz}
\usetikzlibrary{arrows,automata}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}%
% 0, 4, 8
\foreach \x in {0,2.2}
\filldraw[fill=blue!60!white, draw=black] (2+\x+0, 0) rectangle (2+\x+0+1, 0.2) node[above left = 0.6]{$\mathsf{1/2}$};
\foreach \x in {0,2.2}
\filldraw[fill=yellow!60!white, draw=black] (2+\x+4.4, 0) rectangle (2+\x+ 4.4 +1, 0.2) node[above left = 0.6]{$\mathsf{1/2}$};
\foreach \x in {0,2.2}
\filldraw[fill=red, draw=black] (2+\x+8.8,0) rectangle (2+\x+8.8 +1,0.2) node[above left = 0.6]{$\mathsf{1/2}$};
\draw (1.62, -0.1) node[above left = 0.0]{\textbf{Type-1:}};
\draw (1.62, -1.6) node[above left = 0.0]{\textbf{Type-2:}};
\foreach \x in {1.26, 3.46, 5.66}
{
\filldraw[fill=green!60!white, draw=black] (2+\x,-1.5) rectangle (2+\x +0.67 ,-1.3) ;
\draw (2+\x +0.77 ,-1.3) node[above left]{$\mathsf{1/3}$};
}
\foreach \x in {7.86, 10.06, 12.26}
{
\filldraw[fill=pink, draw=black] (2+\x,-1.5) rectangle (2+\x +0.67 ,-1.3);
\draw (2+\x +0.77 ,-1.3) node[above left]{$\mathsf{1/3}$};
}
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2202.06949 | arxiv | 2022-11-30T02:08:04 | |
The figure shows five different admissible paths at various points in $C$ represented by a white circle and ending at the points $P,Q,R,S$ and $T$. The set $C$ is the lighter gray annulus together with the darker gray compact set $K$ in the center. Squares indicate the points along the paths and dashed segments the jumps that we imagine occurring in between. The points $P$ and $Q$ show how a path can either start in $K$ or in the annular region. The point $R$ shows that a path contained in $C$ can have zero length. The path ending at $S$ shows that one can jump between points in $K$ - but must stop there. Finally, the path ending at $T$ depicts how a path that at some point leaves $K$ can never return - but can get very close. The first unrestricted jump of each path is bolded, and note that all the paths must be contained in the bounded set $V$ which is a ball containing the full figure. | \documentclass[10pt, oneside]{amsart}
\usepackage{amssymb}
\usepackage{amssymb}
\usepackage{amsmath,amsfonts}
\usepackage{color}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{shapes.geometric}
\begin{document}
\begin{tikzpicture}[square/.style={regular polygon,regular polygon sides=4}]
% The annulus
\draw[very thick, draw,fill=black!20](0,0) circle (5cm);
\draw[very thick, draw,fill=white](0,0) circle (3.5cm);
% The compact set K
\draw[very thick,fill=black!40] plot[smooth cycle] coordinates {(-1.5,0) (-0.5,0.5) (1.5,1.5) (0,2) (-2,0.5)};
\draw[very thick,fill=black!40] plot[smooth cycle] coordinates {(0,-1) (1,-1.5) (1.5,-0.5) (0.5,0)};
% The white starting points
\begin{scope}[every node/.style={circle,thick, draw=black,fill=white!100!}]
\node (p) [scale=0.4]at (0.8,1.4) {};
\node (q) [scale=0.4]at (0,-4) {};
\node (s)[scale=0.4] at (0.8,-1) {};
\node (t) [scale=0.4]at (0.1,1.5) {};
\end{scope}
% The black ending points
\begin{scope}[every node/.style={circle,thick, draw=black,fill=black!100!}]
\node (P) [scale=0.4]at (2.5,1) {};
\node (Q) [scale=0.4]at (0.1,-1.5) {};
\node (S)[scale=0.4] at (-0.8,1) {};
\node (T) [scale=0.4]at (-1,1.6) {};
\node (R) [scale=0.4]at (3.5,2) {};
\end{scope}
% The points P,Q,R,S,T
\node[below right] at (2.5,1) {$P$};
\node[left] at (0.1,-1.5) {$Q$};
\node[below left] at (-0.8,1) {$S$};
\node[left] at (-1,1.6) {$T$};
\node[above] at (3.5,2) {$R$};
% The paths
\begin{scope}[every node/.style={square,thin, draw=black,fill=white!100!}]
% The P path
\node (p1) [scale=0.4]at (2,2.4) {};
\node (p2) [scale=0.4]at (2.4,2) {};
\node (p3) [scale=0.4]at (2.1,1.6) {};
\node (p4) [scale=0.4]at (2.8,1.4) {};
\draw[dashed, very thick] (p) -- (p1);
\draw[dashed] (p1) -- (p2) -- (p3) -- (p4) -- (P);
% The T path
\node (t1) [scale=0.4]at (-0.7,3.1) {};
\node (t2) [scale=0.4]at (-1.2,3) {};
\node (t3) [scale=0.4]at (-2,2.5) {};
\node (t4) [scale=0.4]at (-1.5,2.4) {};
\node (t5) [scale=0.4]at (-1.8,2.1) {};
\node (t6) [scale=0.4]at (-1,2.2) {};
\node (t7) [scale=0.4]at (-1.4,1.9) {};
\node (t8) [scale=0.4]at (-0.8,1.8) {};
\draw[dashed, very thick] (t) -- (t1);
\draw[dashed] (t1) -- (t2) -- (t3) -- (t4) -- (t5) -- (t6) -- (t7) -- (t8) -- (T);
% The Q path
\node (q1) [scale=0.4]at (0.7,-3.1) {};
\node (q2) [scale=0.4]at (-0.4,-2.7) {};
\node (q3) [scale=0.4]at (0.2,-2.5) {};
\node (q4) [scale=0.4]at (-0.2,-2.3) {};
\node (q5) [scale=0.4]at (0.1,-2.1) {};
\node (q6) [scale=0.4]at (0.3,-1.7) {};
\draw[dashed, very thick] (q) -- (q1);
\draw[dashed] (q1) -- (q2) -- (q3) -- (q4) -- (q5) -- (q6) -- (Q);
% The S path
\draw[dashed, very thick] (s) -- (S);
\end{scope}
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2303.00649 | arxiv | 2023-03-02T02:20:47 | |
Let red be the color $1$, and let blue be the color $2$. The above figure shows all the configurations with non-zero weights in the two-colored $t$-PNG model given by Definition \ref{def:nLmatrix}. Note that some of the configurations can be obtained from the two-colored S6V model by horizontal complementation of the red lines (i.e., deleting existing horizontal red lines and placing horizontal red lines where there aren't any). However, not all the configurations (e.g., the ones on the last row) can be obtained in this way. | \documentclass{article}
\RequirePackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[scale = 1]
\begin{scope}[xshift = 0cm, yshift = 4cm]
\node at (0, -0.8) {$1$};
\end{scope}
\begin{scope}[xshift = 2cm, yshift = 4cm]
\draw[red, thick] (-0.5, 0) -- (0.5, 0);
\draw[red, thick] (0, -0.5) -- (0, 0.5);
\node at (0, -0.8) {$t$};
\end{scope}
\begin{scope}[xshift = 4cm, yshift = 4cm]
\draw[red, thick] (-0.5, 0) -- (0, 0);
\draw[red, thick] (0, -0.5) -- (0, 0);
\node at (0, -0.8) {$1-t$};
\end{scope}
\begin{scope}[xshift = 6cm, yshift = 4cm]
\draw[red, thick] (-0.5, 0) -- (0.5, 0);
\node at (0, -0.8) {$1$};
\end{scope}
\begin{scope}[xshift = 8cm, yshift = 4cm]
\draw[red, thick] (0, -0.5) -- (0, 0.5);
\node at (0, -0.8) {$1$};
\end{scope}
%
\begin{scope}[xshift = 0cm, yshift = 2cm]
\draw[blue, thick] (-0.5, 0) -- (0.5, 0);
\draw[blue, thick] (0, -0.5) -- (0, 0.5);
\node at (0, -0.8) {$t$};
\end{scope}
\begin{scope}[xshift = 2cm, yshift = 2cm]
\draw[blue, thick] (-0.5, 0) -- (0, 0);
\draw[blue, thick] (0, -0.5) -- (0, 0);
\node at (0, -0.8) {$1-t$};
\end{scope}
\begin{scope}[xshift = 4cm, yshift = 2cm]
\draw[blue, thick] (-0.5, 0) -- (0.5, 0);
\node at (0, -0.8) {$1$};
\end{scope}
\begin{scope}[xshift = 6cm, yshift = 2cm]
\draw[blue, thick] (0, -0.5) -- (0, 0.5);
\node at (0, -0.8) {$1$};
\end{scope}
%
\begin{scope}[xshift = 0cm, yshift = 0cm]
\draw[thick, red] (-0.1, -0.5) -- (-0.1, 0.5);
\draw[thick, blue] (0, -0.5) -- (0, 0.5);
\node at (0, -0.8) {$1$};
\end{scope}
\begin{scope}[xshift = 2cm]
\draw[thick, red] (-0.5, 0) -- (0.5, 0);
\draw[thick, blue] (-0.5, -0.1) -- (0.5, -0.1);
\node at (0, -0.8) {$1$};
\end{scope}
\begin{scope}[xshift = 4cm]
\draw[red, thick] (-0.5, 0) -- (0.5, 0);
\draw[blue, thick] (0, -0.5) -- (0, 0.5);
\node at (0, -0.8) {$t$};
\end{scope}
\begin{scope}[yshift = 0cm, xshift = 6cm]
\draw[red, thick] (-0.5, 0) -- (0.5, 0);
\draw[blue, thick] (0, -0.5) -- (0, -0.1);
\draw[blue, thick] (0, -0.1) -- (0.5, -0.1);
\node at (0, -0.8) {$1 - t$};
\end{scope}
\begin{scope}[xshift = 8cm]
\draw[blue, thick] (-0.5, 0) -- (0.5, 0);
\draw[red, thick] (0, -0.5) -- (0, 0.5);
\node at (0, -0.8) {$t$};
\end{scope}
\begin{scope}[xshift = 10cm]
\draw[blue, thick] (-0.5, 0) -- (-0.1, 0);
\draw[red, thick] (0, -0.5) -- (0, 0.5);
\draw[blue, thick] (-0.1, 0) -- (-0.1, 0.5);
\node at (0, -0.8) {$1 - t$};
\end{scope}
\begin{scope}[yshift = -2cm]
\draw[blue, thick] (-0.5, 0) -- (0.5, 0);
\draw[red, thick] (-0.1, -0.5) -- (-0.1, 0.5);
\draw[blue, thick] (0, -0.5) -- (0, 0.5);
\node at (0, -0.8) {$1$};
\end{scope}
\begin{scope}[yshift = -2cm, xshift = 2cm]
\draw[blue, thick] (-0.5, 0) -- (0.5, 0);
\draw[red, thick] (-0.5, -0.1) -- (0.5, -0.1);
\draw[blue, thick] (0, -0.5) -- (0, 0.5);
\node at (0, -0.8) {$1$};
\end{scope}
\begin{scope}[yshift = -2cm, xshift = 4cm]
\draw[red, thick] (-0.5, 0) -- (0.5, 0);
\draw[red, thick] (-0.1, -0.5) -- (-0.1, 0.5);
\draw[blue, thick] (0, -0.5) -- (0, 0.5);
\node at (0, -0.8) {$t$};
\end{scope}
\begin{scope}[yshift = -2cm, xshift = 6cm]
\draw[red, thick] (-0.5, 0) -- (-0.1, 0);
\draw[red, thick] (-0.1, -0.5) -- (-0.1, 0);
\draw[blue, thick] (0, -0.5) -- (0, 0);
\draw[blue, thick] (0, 0) -- (0.5, 0);
\node at (0, -0.8) {$1 - t$};
\end{scope}
\begin{scope}[yshift = -2cm, xshift = 8cm]
\draw[blue, thick] (-0.5, 0) -- (0.5, 0);
\draw[red, thick] (-0.5, -0.1) -- (0.5, -0.1);
\draw[red, thick] (0, -0.5) -- (0, 0.5);
\node at (0, -0.8) {$t$};
\end{scope}
\begin{scope}[yshift = -2cm, xshift = 10cm]
\draw[blue, thick] (-0.5, 0) -- (0, 0) -- (0, 0.5);
\draw[red, thick] (-0.5, -0.1) -- (0, -0.1);
\draw[red, thick] (0, -0.5) -- (0, -0.1);
\node at (0, -0.8) {$1-t$};
\end{scope}
\begin{scope}[yshift = -4cm, xshift = 0cm]
\draw[red, thick] (-0.1, -0.5) -- (-0.1, 0.5);
\draw[red, thick] (-0.5, -0.1) -- (0.5, -0.1);
\draw[red, thick] (-0.1, -0.5) -- (-0.1, 0.5);
\draw[blue, thick] (0, -0.5) -- (0, 0.5);
\draw[blue, thick] (-0.5, 0) -- (0.5, 0);
\node at (0, -0.8) {$t$};
\end{scope}
\begin{scope}[yshift = -4cm, xshift = 2cm]
\draw[red, thick] (-0.1, -0.5) -- (-0.1, -0.1);
\draw[red, thick] (-0.5, -0.1) -- (-0.1, -0.1);
\draw[blue, thick] (0, -0.5) -- (0, 0);
\draw[blue, thick] (-0.5, 0) -- (0, 0);
\node at (0, -0.8) {$1 - t$};
\end{scope}
\end{tikzpicture}
\end{document} | 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| https://arxiv.org/abs/2204.11158 | arxiv | 2022-12-16T02:02:14 | |
Simulated versus asymptotic singular value and alignments corresponding to the first deflation step as per Theorem \ref{thm_first_deflation_step}. We considered $\beta_1 = 5$, $\alpha = 0.5$, $p=100$ and varying $\beta_1\in[0, 15]$. The system of equations in \eqref{eq_system_first_deflation} is solved numerically and initialized with the simulated singular value and alignments (dotted curves) from one realization of $\gT_1$. | \documentclass[nohyperref]{article}
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3.36734693877551 0.685539332930463
3.6734693877551 0.73678521899881
3.97959183673469 0.773849694777971
4.28571428571429 0.793683587067168
4.59183673469388 0.816682500306288
4.89795918367347 0.839693427875512
5.20408163265306 0.891674085041098
5.51020408163265 0.888818622607556
5.81632653061224 0.924415847505284
6.12244897959184 0.926625354353264
6.42857142857143 0.950807816835553
6.73469387755102 0.952793704862617
7.04081632653061 0.96374713545866
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7.6530612244898 0.97023057616127
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8.26530612244898 0.976079465701112
8.57142857142857 0.978768128822156
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10.7142857142857 0.989287962207819
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11.6326530612245 0.990191658895642
11.9387755102041 0.991856231345316
12.2448979591837 0.992327354219351
12.5510204081633 0.992885017251549
12.8571428571429 0.992552411028294
13.1632653061224 0.992541522933433
13.469387755102 0.994657981551508
13.7755102040816 0.993995627979823
14.0816326530612 0.9945632566164
14.3877551020408 0.994461036199277
14.6938775510204 0.994903705745556
15 0.994487551021358
};
\addlegendentry{$\hat\rho_{11}$}
\addplot [semithick, darkorange25512714, mark=*, mark size=2, mark options={solid}, only marks, opacity=0.4]
table {%
0 0.993709703302266
0.306122448979592 0.986048733384978
0.612244897959184 0.992432099374432
0.918367346938776 0.985319580272814
1.22448979591837 0.983604569329485
1.53061224489796 0.989441015398485
1.83673469387755 0.986900534735645
2.14285714285714 0.978483207937456
2.44897959183673 0.982327661295646
2.75510204081633 0.966417996540964
3.06122448979592 0.965681808049234
3.36734693877551 0.96709790396714
3.6734693877551 0.94608098463366
3.97959183673469 0.9274428759181
4.28571428571429 0.916289977632279
4.59183673469388 0.897006293556077
4.89795918367347 0.883108627663682
5.20408163265306 0.831247316929619
5.51020408163265 0.833876152250433
5.81632653061224 0.780894580862702
6.12244897959184 0.781160328855145
6.42857142857143 0.734140221363608
6.73469387755102 0.731599306231812
7.04081632653061 0.704084232815527
7.3469387755102 0.704579672949939
7.6530612244898 0.68474185837884
7.95918367346939 0.660984827050006
8.26530612244898 0.668986759866228
8.57142857142857 0.658716624816283
8.87755102040816 0.65297140116524
9.18367346938776 0.64319405431714
9.48979591836735 0.632037971609603
9.79591836734694 0.622510697091553
10.1020408163265 0.630151037830299
10.4081632653061 0.627120863119696
10.7142857142857 0.613634683287109
11.0204081632653 0.612261762241407
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11.6326530612245 0.61013907862148
11.9387755102041 0.599736529592212
12.2448979591837 0.595216056916031
12.5510204081633 0.590862503009708
12.8571428571429 0.596709910195264
13.1632653061224 0.595212655010211
13.469387755102 0.580612449272717
13.7755102040816 0.584317861928862
14.0816326530612 0.581763529244959
14.3877551020408 0.582741115450934
14.6938775510204 0.579483235962036
15 0.581779797893066
};
\addlegendentry{$\hat\rho_{12}$}
\addplot [thick, forestgreen4416044, line width=1.3pt]
table {%
0 0.496609500507431
0.306122448979592 0.508474104668416
0.612244897959184 0.521223257609768
0.918367346938776 0.534964623334802
1.22448979591837 0.549822249577729
1.53061224489796 0.565938553405003
1.83673469387755 0.58347565827143
2.14285714285714 0.602615008804086
2.44897959183673 0.623553126776454
2.75510204081633 0.64648948168538
3.06122448979592 0.671599199956136
3.36734693877551 0.698978813425324
3.6734693877551 0.728549691473543
3.97959183673469 0.759911363110877
4.28571428571429 0.792179160675193
4.59183673469388 0.823934573462793
4.89795918367347 0.853478469372119
5.20408163265306 0.879387195429317
5.51020408163265 0.900989476734471
5.81632653061224 0.91839486451933
6.12244897959184 0.932177480728199
6.42857142857143 0.943043975859929
6.73469387755102 0.951644671145064
7.04081632653061 0.958509175971862
7.3469387755102 0.96404527606906
7.6530612244898 0.968559568893557
7.95918367346939 0.97228097365123
8.26530612244898 0.975380754069071
8.57142857142857 0.977987902605716
8.87755102040816 0.980200459048983
9.18367346938776 0.98209369467629
9.48979591836735 0.983726003838125
9.79591836734694 0.985143155591325
10.1020408163265 0.986381380938678
10.4081632653061 0.987469632854337
10.7142857142857 0.98843125593023
11.0204081632653 0.989285231748913
11.3265306122449 0.990047116575566
11.6326530612245 0.990729754166348
11.9387755102041 0.991343822486706
12.2448979591837 0.991898256874374
12.5510204081633 0.992400579969592
12.8571428571429 0.992857161534504
13.1632653061224 0.99327342412561
13.469387755102 0.993654007342208
13.7755102040816 0.994002899822358
14.0816326530612 0.994323545991778
14.3877551020408 0.994618932953647
14.6938775510204 0.994891661597806
15 0.995144005142787
};
\addlegendentry{$\rho_{11}$}
\addplot [thick, crimson2143940, line width=1.3pt]
table {%
0 0.993219001015151
0.306122448979592 0.993232685660997
0.612244897959184 0.993030574461547
0.918367346938776 0.992554530729609
1.22448979591837 0.99172933029512
1.53061224489796 0.990456917633975
1.83673469387755 0.988608595730863
2.14285714285714 0.986014517985551
2.44897959183673 0.9824499208287
2.75510204081633 0.977618140550017
3.06122448979592 0.971132489042058
3.36734693877551 0.96250437968579
3.6734693877551 0.951156710043489
3.97959183673469 0.936500513483576
4.28571428571429 0.91812494904813
4.59183673469388 0.896102255988513
4.89795918367347 0.871244026110076
5.20408163265306 0.845008806252141
5.51020408163265 0.819002174281159
5.81632653061224 0.794454287374959
6.12244897959184 0.772029683254758
6.42857142857143 0.751929475617759
6.73469387755102 0.73407810330906
7.04081632653061 0.718272078982621
7.3469387755102 0.704268356113593
7.6530612244898 0.691828263494332
7.95918367346939 0.680735837717774
8.26530612244898 0.670803213155484
8.57142857142857 0.66187011976861
8.87755102040816 0.653801056007241
9.18367346938776 0.646481821456102
9.48979591836735 0.6398161458439
9.79591836734694 0.633722694100558
10.1020408163265 0.628132518024155
10.4081632653061 0.622986935512687
10.7142857142857 0.618235785375152
11.0204081632653 0.613835998396283
11.3265306122449 0.60975042926593
11.6326530612245 0.605946900669653
11.9387755102041 0.602397419435762
12.2448979591837 0.599077531623483
12.5510204081633 0.595965790154114
12.8571428571429 0.593043313338998
13.1632653061224 0.590293417500579
13.469387755102 0.587701309849421
13.7755102040816 0.585253830666006
14.0816326530612 0.582939236002012
14.3877551020408 0.580747013753215
14.6938775510204 0.578667727422
15 0.576692882805176
};
\addlegendentry{$\rho_{12}$}
\addplot [semithick, black, dashed, line width=1pt]
table {%
5 0
5 1
};
\addlegendentry{$\beta_1 = \beta_2$}
\addplot [semithick, darkviolet1910191, dashed, line width=1pt]
table {%
0 0.5
15 0.5
};
\addlegendentry{$\alpha = 0.5$}
\end{groupplot}
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2302.05798 | arxiv | 2023-02-14T02:12:22 | |
Instances of graphs used in the proof of Lemma \ref{lem:max3}. (a) A cycle with trees attached to it. (b) A cycle with single edges attached to it. %edges represent matching edges. The unfilled vertices belong to the set $Y''$. | \documentclass[11pt,letterpaper]{article}
\usepackage{amsmath,amssymb,amsfonts}
\usepackage{tikz,fullpage}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{arrows,petri,topaths}
\usepackage{tikz-network}
\begin{document}
\begin{tikzpicture}[scale=0.45,transform shape]
\Text[x=8, y = 8.7]{\Huge $x$}
\Text[x=10, y = 9.7]{\Huge $y$}
\Vertex[x=2,y=5, color=black]{a1}
\Vertex[x=0,y=6, color=black]{a2}
\Vertex[x=0,y=8, color=black]{a3}
\Vertex[x=2,y=9, color=black]{a4}
\Vertex[x=4,y=8, color=black]{a5}
\Vertex[x=4,y=6, color=black]{a6}
\Vertex[x=2,y=3]{t11}
\Vertex[x=4,y=2]{t12}
\Vertex[x=0,y=2]{t13}
\Vertex[x=6,y=8]{t51}
\Vertex[x=8,y=8]{t52}
\Vertex[x=10,y=9]{t53}
\Vertex[x=10,y=7]{t54}
\Vertex[x=8,y=6]{t55}
\Vertex[x=6,y=10]{t61}
\Vertex[x=8, y=10]{t62}
\Vertex[x=-2, y = 8]{t31}
\Vertex[x=-2, y = 7]{t32}
\Vertex[x=-2, y = 9]{t33}
\Vertex[x=-4, y = 9]{t34}
\Vertex[x=-2, y = 5]{t35}
\Vertex[x=-2, y = 3]{t36}
\draw (a3) -- (t31);
\draw (a3) -- (t32);
\draw (a3) -- (t33);
\draw (t33) -- (t34);
\draw (t32) -- (t35);
\draw (t35) -- (t36);
\draw (a1) -- (a2);
\draw (a2) -- (a3);
\draw (a3) -- (a4);
\draw (a4) -- (a5);
\draw (a5) -- (a6);
\draw (a6) -- (a1);
\draw (a1) -- (t11);
\draw (t12) -- (t11);
\draw (t13) -- (t11);
\draw (a5) -- (t51);
\draw (t51) -- (t52);
\draw (t52) -- (t53);
\draw (t52) -- (t54);
\draw (t52) -- (t55);
\draw (a5) -- (t61);
\draw (t61) -- (t62);
\Vertex[x=22,y=5, color=black]{b1}
\Vertex[x=20,y=6, color=black]{b2}
\Vertex[x=20,y=8, color=black]{b3}
\Vertex[x=22,y=9, color=black]{b4}
\Vertex[x=24,y=8, color=black]{b5}
\Vertex[x=24,y=6, color=black]{b6}
\Vertex[x=18, y = 8]{b31}
\Vertex[x=18, y = 7]{b32}
\Vertex[x=18, y = 9]{b33}
\Vertex[x=22, y = 3]{b11}
\Vertex[x=26, y = 8]{b51}
\Vertex[x=26, y = 10]{b52}
\draw (b3) -- (b31);
\draw (b3) -- (b32);
\draw (b3) -- (b33);
\draw (b1) -- (b11);
\draw (b5) -- (b51);
\draw (b5) -- (b52);
\draw (b1) -- (b2);
\draw (b2) -- (b3);
\draw (b3) -- (b4);
\draw (b4) -- (b5);
\draw (b5) -- (b6);
\draw (b6) -- (b1);
\Text[x=2,y=0] { \Huge $(a)$};
\Text[x=22,y=0] { \Huge $(b)$};
% markings,
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2304.05859 | arxiv | 2023-04-13T02:15:30 | |
The relation $m\rightarrow n$ defined by: if $A\subseteq X$ exists with $\psi A=m$, then $B\subseteq X$ exists with $\psi B=n$. | \documentclass[11pt,table]{article}
\usepackage{amsmath,amssymb,amsthm,amsfonts}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage[dvipsnames]{xcolor}
\usepackage{colortbl}
\usepackage{tikz}
\usetikzlibrary{arrows.meta,calc}
\usepackage[colorlinks,urlcolor=blue,citecolor=,linkcolor=,hyperfootnotes=false]{hyperref}
\newcommand{\com}{\smash{,}\,}
\begin{document}
\begin{tikzpicture}
[auto,
block/.style={rectangle,draw=black,align=center,minimum width={30pt},
minimum height={16pt},scale=1},
topblock/.style={rectangle,draw=black,line width=1pt,align=center,minimum width={30pt},
minimum height={16pt},scale=1},
wideblock/.style={rectangle,draw=black,align=center,minimum height={16pt},scale=1},
line/.style={draw}]
\node[topblock,anchor=south] (1) at (3,0) {$1$};
\node[topblock,anchor=south] (2) at (0,0) {$2$};
\node[topblock,anchor=south] (3) at (4.5,0) {$3\com4$};
\node[topblock,anchor=south] (5) at (6,0) {$5$};
\node[topblock,anchor=south] (6) at (1.5,0) {$6$};
\node[block,anchor=south] (7) at (3,.8) {$7\com14$};
\node[block,anchor=south] (8) at (4.5,.8) {$8\com15$};
\node[topblock,anchor=south] (9) at (9,0) {$9\com16$};
\node[block,anchor=south] (10) at (5.7,2.5) {$10\com17$};
\node[block,anchor=south] (11) at (0,1) {$11\com18$};
\node[block,anchor=south] (12) at (7.3,.85) {$12\com19$};
\node[block,anchor=south] (13) at (1.3,1.5) {$13\com20$};
\node[topblock,anchor=south] (21) at (7.5,0) {$21\com22$};
\node[topblock,anchor=south] (23) at (10.5,0) {$23$};
\node[block,anchor=south] (24) at (8.6,.85) {$24\com25$};
\node[block,anchor=south] (26) at (0,2) {$26$};
\node[topblock,anchor=south] (27) at (8.7,3.5) {$27$};
\node[block,anchor=south] (28) at (3.5,2.95) {$28\com29$};
\node[block,anchor=south] (30) at (10,3.5) {$30$};
\node[block,anchor=south] (31) at (7.2,2) {$31$};
\node[block,anchor=south] (32) at (12,.9) {$32\com33$};
\node[block,anchor=south] (34) at (10.5,.9) {$34\com36$};
\node[block,anchor=south] (35) at (6,4.4) {$35\com37$};
\node[topblock,anchor=south] (38) at (12,0) {$38$};
\node[block,anchor=south] (39) at (3,2.2) {$39$};
\node[block,anchor=south] (40) at (13.5,1.7) {$40$};
\node[block,anchor=south] (41) at (12,1.7) {$41\com43$};
\node[block,anchor=south] (42) at (10,5) {$42\com44$};
\node[block,anchor=south] (45) at (10.5,2.5) {$45\com47$};
\node[block,anchor=south] (46) at (12,3.3) {$46\com48$};
\node[wideblock,anchor=south] (49) at (3,5) {$49\com50\com51\com52$};
\node[topblock,anchor=south] (53) at (13.5,3.3) {$53\com55$};
\node[block,anchor=south] (54) at (13.5,5) {$54\com56$};
\node[block,anchor=south] (57) at (6,5.5) {$57$};
\node[block,anchor=south] (58) at (11.25,4.2) {$58$};
\node[block,anchor=south] (59) at (12,6.3) {$59\com60$};
\node[topblock,anchor=south] (61) at (6,7) {$61$};
\node[block,anchor=south] (62) at (7.5,6.3) {$62\com63$};
\node[block,anchor=south] (64) at (12.75,4.2) {$64\com66$};
\node[block,anchor=south] (65) at (9,7) {$65\com67$};
\node[block,anchor=south] (68) at (10.5,7) {$68$};
\node[block,anchor=south] (69) at (7.5,7.5) {$69\com70$};
\node[anchor=south] (label) at (0,6.5) [label={[label distance=-5pt]0:(see Proposition~\ref{prop:always_together})}] {};
\node (tail) at (2.5,6) {};
\draw [->, transform canvas={xshift=-28pt,yshift=14pt}] (tail) -- ($(tail)!26pt!(49)$);
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\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2210.10928 | arxiv | 2022-10-21T02:04:45 | |
$B_k=\{1,2,3,4,6,7\} \subset[8]$ and its unfolded line, cut between 1 and 8. The maximal arcs of $B_k$ in $[8]$ are $\{1,2,3,4\}$ and $\{6,7\}$. | \documentclass[12pt]{amsart}
\usepackage{amsthm,amsmath,amssymb,enumerate,color, tikz}
\usetikzlibrary{shapes.geometric}
\usepackage[colorlinks,anchorcolor=black,citecolor=black,linkcolor=black]{hyperref}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale = 1]
\node at (1,0) [rectangle] {$\bullet$};
\node at (1,0) [right] {$3$};
\node at (0.707,0.707) [rectangle] {$\bullet$};
\node at (0.707,0.707) [above right] {$2$};
\node at (0,1) [rectangle] {$\bullet$};
\node at (0,1) [above] {$1$};
\node at (-0.707,0.707) [rectangle] {$\circ$};
\node at (-0.707,0.707) [above left] {$8$};
\node at (-1,0) [rectangle] {$\bullet$};
\node at (-1,0) [left] {$7$};
\node at (-0.707,-0.707) [rectangle] {$\bullet$};
\node at (-0.707,-0.707) [below left] {$6$};
\node at (0,-1) [rectangle] {$\circ$};
\node at (0,-1) [below] {$5$};
\node at (0.707,-0.707) [rectangle] {$\bullet$};
\node at (0.707,-0.707) [below right] {$4$};
---------------------------
\draw[<->] (2,0) -- (4,0) node[right] {$\quad\star$ $\star$ $\circ$ $\star$ $\circ$};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2204.00072 | arxiv | 2022-09-09T02:16:10 | |
\textbf{A 2D example with a RealNVP\cite{realnvp} normalizing flow.} The image space $\X$ contains data points sampled from 5 Gaussians with different means. The prior distribution in the latent space $\Z$ is Gaussian. Given a normalizing flow that maps $\Z \rightarrow \X$, we tame the model to produce the same image space $\X$, apart from the middle Gaussian, which we wish to remove. (Each Gaussian represents a person, and we would like to forget one person.) (\textbf{Train}) Prior to our method, the inverse flow was trained to map points from $\X$ to $\Z$. To generate samples, the flow is used to map $\Z$ to $\X$. (\textbf{Forget}) We apply our method: latent vectors that were initially mapped to the center Gaussian now have a lower likelihood of being drawn from the prior distribution. (\textbf{Sample}) Now that we tamed the model, when we sample from $\Z$, the points are mapped (with high probability) to the 4 Gaussians. | \documentclass[10pt,twocolumn,letterpaper]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{positioning,calc,arrows,shapes,decorations.text}
\usepackage[pagebackref,breaklinks,colorlinks]{hyperref}
\begin{document}
\begin{tikzpicture}
\newcommand{\deflen}[2]{%
\expandafter\newlength\csname #1\endcsname
\expandafter\setlength\csname #1\endcsname{#2}%
}
\deflen{ToyImSize}{0.41\linewidth}
\tikzset{
TextArrow/.style={
single arrow, draw=black, minimum width=2mm, minimum height=11mm, inner sep=0mm, single arrow head extend=1mm, double arrow head extend=1mm, yshift=0
}}
\node (data_points) at (10,10){\includegraphics[width=\ToyImSize,keepaspectratio]{example-image}};
\node [left=10mm of data_points] (trained_latents) {\includegraphics[width=\ToyImSize,keepaspectratio]{example-image}};
\path (data_points) -- (trained_latents) node[midway, TextArrow, shape border rotate=180, xshift=1mm] {\footnotesize Train};
\node [below=10mm of trained_latents] (forget_latents) {\includegraphics[width=\ToyImSize,keepaspectratio]{example-image}};
\path (forget_latents) -- (trained_latents) node[midway, TextArrow,rotate=90,shape border rotate=180, xshift=1mm] {\footnotesize Forget};
\node [right=10mm of forget_latents] (x_space) {\includegraphics[width=\ToyImSize,keepaspectratio]{example-image}};
\path (forget_latents) -- (x_space) node[midway, TextArrow, xshift=0mm] {\footnotesize Sample};
\node[above=0mm of trained_latents,yshift=-2mm] {$\mathcal{Z}$};
\node[above=0mm of data_points,yshift=-2mm] {$\mathcal{X}$};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2211.16488 | arxiv | 2022-11-30T02:22:36 | |
Privacy-preserving speech processing through \emph{disentanglement}, where speech is decomposed into independent streams of information, each representing a distinct category of information and where the level of anonymization can be individually chosen for each category. The point of attack is indicated by the red arrow and exclamation mark. | \documentclass[journal]{IEEEtran}
\usepackage{amsmath}
\usepackage{lipsum,amsmath,verbatim}
\usepackage[colorlinks=false]{hyperref}
\usepackage{tikz,pgfplots}
\pgfplotsset{compat=1.16}
\usetikzlibrary{math}
\usetikzlibrary{calc}
\usepgfplotslibrary{external}
\usetikzlibrary{arrows, decorations.markings}
\begin{document}
\begin{tikzpicture}
\node[matrix,column sep=.1cm] at (0,0) {
\node {\parbox{1.5cm}{\centering User}};
& \node{Encoder};
& \node{Bottleneck};
&&& \node{Decoder}; \\
\node (user1) {\includegraphics[scale=0.15]{example-image} };
& \draw node[rounded corners=.03cm,minimum size=.5cm,line width=.022cm] (enc) {}; \draw[rounded corners=.03cm, line width=.022cm] (-.25,0) -- (-.25,.6) -- (.25,.4) -- (.25,-.4) -- (-.25,-.6) -- (-.25,0);
& \draw node[rounded corners=.03cm,minimum size=.2cm,line width=.022cm,draw,xshift=.2cm,yshift=.25cm] (bn1) {};
\draw node[rounded corners=.03cm,minimum size=.2cm,line width=.022cm,draw] (bn2) {};
\draw node[rounded corners=.03cm,minimum size=.2cm,line width=.022cm,draw,xshift=-.2cm,yshift=-.25cm] (bn3) {};
&&& \draw node[rounded corners=.03cm,minimum size=.5cm,line width=.022cm] (dec) {}; \draw[rounded corners=.03cm, line width=.022cm] (.25,0) -- (.25,.6) -- (-.25,.4) -- (-.25,-.4) -- (.25,-.6) -- (.25,0);
&&&&& \node(out){Output};
\\\node{~};\\
&& \draw node[rounded corners=.03cm,minimum height=.2cm, minimum width=1.2cm,line width=.022cm,draw] (anon) {}; \\
&& \node {Anonymization}; \\
};
\draw[->,thick] (user1) -> (enc);
\draw[->,thick] (enc) -> (bn2);
\draw[->,thick,dashed] (bn2) -> (dec);
\draw[->,thick] ($(enc.east)+(0,.25cm)$) -> (bn1);
\draw[->,thick,dashed] (bn1) -> ($(dec.west)+(0,.25cm)$);
\draw[->,thick] ($(enc.east)+(0,-.25cm)$) -> (bn3);
\draw[->,thick,dashed] (bn3) -> ($(dec.west)+(0,-.25cm)$);
\draw[->,thick] (dec) -- (out);
\draw[->,thick] ($(anon.north)+(.2cm,0)$) -- (bn1);
\draw[->,thick] (anon) -- (bn2);
\draw[->,thick] ($(anon.north)-(.2cm,0)$) -- (bn3);
\draw[->,thick,dashed,red] ($(dec.west)+(-.3,.25cm)$) -- node[near end,right]{!} ++(0,-1.2);
\end{tikzpicture}
\end{document} | 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| https://arxiv.org/abs/2305.05227 | arxiv | 2023-05-10T02:10:40 | |
Left: The electric-magnetic duality group is given by the monodromy group $M$ which acts on homology group of SW curve; Right: there is one monodromy group element around each special vacua (including the $\infty$ point on the Coulomb branch), and the global constraint is $M_1M_2M_3=I$. | \documentclass[a4paper,11pt]{article}
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\draw [color={rgb, 255:red, 208; green, 2; blue, 27 } ,draw opacity=1 ] (134,47.44) .. controls (105,50.44) and (109,127.44) .. (135,117) ;
\draw (133,356) -- (141,366.44) ;
\draw (132,366) -- (143,355.44) ;
\draw (458.4,212.44) -- (639,212.44) -- (561.6,315.44) -- (381,315.44) -- cycle ;
\draw (468,242) -- (476,252.44) ;
\draw (467,252) -- (478,241.44) ;
\draw (521,242) -- (529,252.44) ;
\draw (520,252) -- (531,241.44) ;
\draw (577,246) -- (585,256.44) ;
\draw (576,256) -- (587,245.44) ;
\draw (340,50) -- (350,490) ;
\draw (468,226) .. controls (488,216) and (480,267.88) .. (485,284.44) .. controls (490,301) and (495,318.44) .. (475,288.44) .. controls (455,258.44) and (448,236) .. (468,226) -- cycle ;
\draw (582,227.44) .. controls (592.97,219.91) and (600,281.44) .. (542,299.44) .. controls (484,317.44) and (478.21,302.41) .. (502,303.44) .. controls (525.79,304.46) and (571.03,234.96) .. (582,227.44) -- cycle ;
\draw (517,232) .. controls (528,222.56) and (542,240.88) .. (537,262.44) .. controls (532,284) and (475,316.44) .. (491,301.44) .. controls (507,286.44) and (506,241.44) .. (517,232) -- cycle ;
\draw (463,183.4) node [anchor=north west][inner sep=0.75pt] {$M_{1}$};
% Text Node
\draw (520,185.4) node [anchor=north west][inner sep=0.75pt] {$M_{2}$};
% Text Node
\draw (575,188.4) node [anchor=north west][inner sep=0.75pt] {$M_{3}$};
% Text Node
\draw (172,201.4) node [anchor=north west][inner sep=0.75pt] {$C_{1}$};
% Text Node
\draw (171,37.4) node [anchor=north west][inner sep=0.75pt] {$M( C_{1})$};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2304.13663 | arxiv | 2023-04-27T02:24:30 | |
Automatic placing dynamic styling of nodes in a graph. to check the first character in a node’s name if it’s a c (blue) or a p (gray). The integer number will be evaluated to determine the intensity of the color. the /utils/TeX/if and the /utils/TeX/ifnum keys It makes use of the ext.misc library of the tikz-ext bundle of which it uses This example was developed in response to a question on TeX.SE and shows how \tikzgraphnodename and \tikzgraphnodetext can be used to dynamically style and typeset nodes in a \graph. | \documentclass[tikz]{standalone}
\usetikzlibrary{
graphs,
graphdrawing,
ext.misc}
\usegdlibrary{force} % requires LuaLaTeX
\begin{document}
\tikz[
parse node name/.style={
circle, minimum size=10mm, draw, densely dashdotted, thick,
decide color/.expand once=#1},
decide color/.style 2 args={
/utils/TeX/if=c#1
{/utils/TeX/ifnum={#2<5}{bluelight}{bluedark}}
{/utils/TeX/ifnum={#2<8}{light}{dark}}},
light/.style={fill=gray!20}, bluelight/.style={fill=blue!10},
dark/.style ={fill=gray!60}, bluedark/.style ={fill=blue!30}
] \graph[
spring electrical layout, horizontal=c2 to p13,
node distance=1.5cm, typeset=$n_{\tikzgraphnodetext}$,
nodes={parse node name=\tikzgraphnodename}] {
% outer ring
c2 -- {p1, p11, p6};
p1 -- {p8, c6, p11};
p8 -- {p3, p10, c6};
p3 -- {p13, p15, p10};
p13 -- {p15, c7};
c7 -- {c3/\mathbf{c3}[draw=red], c4, p15};
c3 -- {p14, c4};
p14 -- {p7, c4};
p7 -- {p9, p2, c4};
p9 -- {c5, p12, p2};
c5 -- {c1, p4, p12};
c1 -- {p6, p4};
p6 -- {p11, p4};
% inner ring
p11 -- {c6, p12, p4};
p5 -- {c6 -- {p10, p12}, p10 -- p15, p15 -- c4, c4 -- p2, p2 -- p12, p12 -- p4};
};
\end{document} | 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" | https://tikz.net/automatic-placing-dynamic-styling-of-nodes-in-a-graph/ | tikz.net | 2022-12-03T20:00:26 | |
An illustration of Proposition \ref{prop : non-closed geodesics}. The non-closed geodesic $\gamma_{\rho_0}$ is damped by some polyhedron in the direction $\Xi_0^\perp \in F$. By density in $F$, it enters that polyhedron. The dashed violet edges and paler-shade part of the polyhedron are below the plane $F$. The dashed blue and red lines are inside the polyhedron. | \documentclass[a4paper,12pt]{amsart}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amssymb,,amsmath}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale = 3.]
\draw[opacity = 1., black] (2., 1.) -- (1., 0.) -- (4., 0.) -- (5., 1.);
\fill[opacity = 0.1, black] (2., 1.) -- (1., 0.) -- (4., 0.) -- (5., 1.) -- cycle;
\draw (4., 0.) node[below] {F};
\draw[opacity = 1., blue] (1.5, 0.) -- (2.7, 1.);
\draw (2.7, 1.) node[above] {\color{blue} $\gamma_{\rho_0}$};
\draw[opacity = 1., blue] (1.7, 0.) -- (2., 0.25);
\draw[opacity = 1., blue, dashed] (2., 0.25) -- (2.6, 0.75);
\draw[opacity = 1., blue] (2.6, 0.75) -- (2.9, 1.);
\draw[opacity = 1., red, ->, very thick, dashed] (2.1, 0.5) -- (2.35, 0.5);
\draw (2.4, 0.5) node[right] {\color{red} $\Xi_0^\perp$};
\draw[opacity = 1., black, dotted] (1.8, 0.25) -- (2.8, 0.25) -- (3.4, 0.75) -- (2.4, 0.75);
\draw[opacity = 1., violet] (1.8, 0.25) -- (2.4, 0.75);
\draw[opacity = 1., violet] (2.8, 0.45) -- (3.4, 0.95);
\draw[opacity = 1., violet, dashed] (2.8, 0.05) -- (3.4, 0.55);
\draw[opacity = 1., violet] (1.8, 0.25) -- (2.8, 0.45) -- (2.8, 0.25);
\draw[opacity = 1., violet, dashed] (1.8, 0.25) -- (2.8, 0.05) -- (2.8, 0.25);
\draw[opacity = 1., violet] (2.4, 0.75) -- (3.4, 0.95) -- (3.4, 0.75);
\draw[opacity = 1., violet, dashed] (2.4, 0.75) -- (3.4, 0.55) -- (3.4, 0.75);
\fill[opacity = 0.2, violet] (1.8, 0.25) -- (2.4, 0.75) -- (3.4, 0.95) -- (3.4, 0.75) -- (2.8, 0.25) -- cycle;
\fill[opacity = 0.1, violet] (1.8, 0.25) -- (2.8, 0.25) -- (3.4, 0.75) -- (3.4, 0.55) -- (2.8, 0.05) -- cycle;
\draw (3.4, 0.9) node[right] {\color{violet} polyhedron where $a = 1$};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2303.03733 | arxiv | 2023-03-30T02:12:46 | |
This figure shows an alternate version of \cref{fig:wecr_ohd_sim} where instead of $\mathit{We}_{cr}$, the variation of $C_\mathit{breakup}$ with respect to $\rho$, $\mathit{Oh}_o$, and $\mathit{Oh}_d$ is plotted. In addition to simulation data, all available experimental data in the relevant non-dimensional space for critical bag breakup (plotted in \cref{fig:lit_available_data}) is also plotted here for reference. | \documentclass{article}
\usepackage{tikz}
\usepackage{amsmath, epstopdf, epsfig, multirow, float}
\begin{document}
\begin{tikzpicture}
\node (img) at (0,0) {\includegraphics[width=1\textwidth]{example-image}};
\node at (1.7,-1.8) {$C_\mathit{breakup}=10.5$};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2211.12017 | arxiv | 2022-11-23T02:08:00 | |
Graph illustrating the relationship between the frequency of inference requests with the number of tasks per second (line) and the number of timed-out requests (bar). | \documentclass[conference]{IEEEtran}
\usepackage{amsmath,amssymb,amsfonts}
\usepackage{xcolor}
\usepackage{pgfplots,pgfplotstable}
\usetikzlibrary{pgfplots.groupplots}
\pgfplotsset{compat=1.17}
\usepackage{tikz}
\usepackage{color, colortbl}
\begin{document}
\begin{tikzpicture}
\centering
\begin{axis}[
width=0.9\columnwidth,
height=0.4\columnwidth,
ybar,
ymin=0,
ymax=40,
axis y line*=right,
ylabel={\# of Timed out},
ylabel style={red, font=\footnotesize},
ytick=\empty,
extra y ticks={0, 10, 20, 30, 40},
yticklabel style={red, font=\footnotesize},
symbolic x coords={
{0.00005},
{0.0001},
{0.001},
{0.005},
{0.01},
{0.05},
{0.1}
},
% xtick=data,
xtick distance=1,
xtick={
{0.00005},
{0.0001},
{0.001},
{0.005},
{0.01},
{0.05},
{0.1}
},
xticklabels={
{0.00005},
{},
{0.001},
{0.005},
{0.01},
{0.05},
{0.1}
},
xticklabel style = {
font=\footnotesize,
% rotate=30
},
extra x ticks={{0.0001}},
extra x tick style={
tick label style={
xshift=0cm,
yshift=.36cm
},
},
extra x tick labels={\color{black}{/\! \!/}},
extra x tick style=grid=major,
]
\addplot+[
red,fill=red!30!white,
][
error bars/.cd,
y dir=both,
y explicit,
] coordinates {
({0.00005}, 0.0) +- (0, 0.0)
({0.001}, 0.0) +- (0, 0.0)
({0.005}, 0.0) +- (0, 0.0)
({0.01}, 0.0) +- (0, 0.0)
({0.05}, 0.6600) +- (0, 1.4712)
({0.1}, 20.8200) +- (0, 9.1185)
};
\end{axis}
\begin{axis}[
% legend pos=north east,
width=0.9\columnwidth,
height=0.4\columnwidth,
ymin=0,
ymax=1050,
axis x line=none,
axis y line*=left,
ylabel={Tasks Per Second},
ylabel style={blue, font=\footnotesize},
ytick=\empty,
extra y ticks={0, 200, 400, 600, 800, 1000},
yticklabel style={blue, font=\footnotesize},
% scaled ticks=base 10:3,
symbolic x coords={
{0.00005},
{0.0001},
{0.001},
{0.005},
{0.01},
{0.05},
{0.1}
},
% xtick=data,
xtick distance=1,
xtick={
{0.00005},
{0.001},
{0.001},
{0.005},
{0.01},
{0.05},
{0.1}
},
xticklabels={
{0.00005},
{},
{0.001},
{0.005},
{0.01},
{0.05},
{0.1}
},
]
\addplot[
mark=*,mark options={fill=blue},
][
error bars/.cd,
y dir=both,
y explicit,
] coordinates {
({0.00005}, 998.901) +- (0, 0.0)
({0.001}, 978.4262) +- (0, 0.5304)
({0.005}, 901.4241) +- (0, 0.1232)
({0.01}, 821.2287) +- (0, 0.0822)
({0.05}, 490.7004) +- (0, 0.0241)
({0.1}, 339.4203) +- (0, 0.1367)
};
\label{graph:BRAIN}
\addplot[
mark=*,mark options={fill=blue},
draw=none,
nodes near coords,
node near coords style={
text=blue,
font=\footnotesize,
/utils/exec={
\setbox0\hbox{\pgfmathprintnumber\pgfplotspointmeta}
\pgfmathfloattomacro{\pgfplotspointmeta}{\F}{\M}{\E}
\pgfmathsetmacro{\myanchor}{
ifthenelse(\M*pow(10,\E-2)*5-\the\wd0>0,"north","south")
}
},
anchor=north,
rotate=20,
xshift=-0.4cm,
yshift=-0.03cm,
},
][
error bars/.cd,
y dir=both,
y explicit,
] coordinates {
({0.001}, 978.4712) +- (0, 0.0256)
({0.005}, 901.3311) +- (0, 0.1193)
({0.01}, 821.3025) +- (0, 0.2608)
};
\addplot[
mark=*,mark options={fill=blue},
draw=none,
nodes near coords,
node near coords style={
text=blue,
font=\footnotesize,
/utils/exec={
\setbox0\hbox{\pgfmathprintnumber\pgfplotspointmeta}
\pgfmathfloattomacro{\pgfplotspointmeta}{\F}{\M}{\E}
\pgfmathsetmacro{\myanchor}{
ifthenelse(\M*pow(10,\E-2)*5-\the\wd0>0,"north","south")
}
},
anchor=north,
rotate=20,
xshift=-0.55cm,
yshift=0.2cm,
},
][
error bars/.cd,
y dir=both,
y explicit,
] coordinates {
({0.05}, 490.9023) +- (0, 0.4506)
};
\addplot[
mark=*,mark options={fill=blue},
draw=none,
nodes near coords,
node near coords style={
text=blue,
font=\footnotesize,
/utils/exec={
\setbox0\hbox{\pgfmathprintnumber\pgfplotspointmeta}
\pgfmathfloattomacro{\pgfplotspointmeta}{\F}{\M}{\E}
\pgfmathsetmacro{\myanchor}{
ifthenelse(\M*pow(10,\E-2)*5-\the\wd0>0,"north","south")
}
},
anchor=north,
rotate=20,
xshift=-0.67cm,
yshift=0.24cm,
},
][
error bars/.cd,
y dir=both,
y explicit,
] coordinates {
({0.1}, 343.2634) +- (0, 3.3323)
};
\end{axis}
\begin{axis}[
width=0.9\columnwidth,
height=0.4\columnwidth,
ymin=0,
ymax=1050,
axis x line=none,
axis y line=none,
symbolic x coords={
{0.00005},
{0.0001},
{0.001},
{0.005},
{0.01},
{0.05},
{0.1}
},
% xtick=data,
xtick distance=1,
xticklabels={
{0.00005},
{},
{0.001},
{0.005},
{0.01},
{0.05},
{0.1}
},
xtick={
{0.00005},
{0.0001},
{0.001},
{0.005},
{0.01},
{0.05},
{0.1}
},
% nodes near coords,
% text=green,
% xshift=0.03cm,
% rotate=20,
]
\addplot[mark=triangle*,mark options={fill=green}][
error bars/.cd,
y dir=both,
y explicit,
] coordinates {
({0.00005}, 518.9390) +- (0, 0.0)
({0.001}, 51.5873) +- (0, 0.0594)
({0.005}, 10.8143) +- (0, 0.0143)
({0.01}, 5.4704) +- (0, 0.0096)
({0.05}, 1.1518) +- (0, 0.0000)
({0.1}, 0.6092) +- (0, 0.0042)
};
\label{graph:Naive}
\end{axis}
\begin{axis}[
legend pos=north west,
legend style={
legend columns=-1,
font=\footnotesize,
at={(0.0,1.3)},
anchor=west
},
width=0.9\columnwidth,
height=0.4\columnwidth,
ymin=0,
ymax=1050,
axis x line=none,
axis y line=none,
symbolic x coords={
{0.00005},
{0.0001},
{0.001},
{0.005},
{0.01},
{0.05},
{0.1}
},
% xtick=data,
xtick distance=1,
xticklabels={
{0.00005},
{},
{0.001},
{0.005},
{0.01},
{0.05},
{0.1}
},
xtick={
{0.00005},
{0.0001},
{0.001},
{0.005},
{0.01},
{0.05},
{0.1}
},
% nodes near coords,
% text=green,
% xshift=0.03cm,
% rotate=20,
]
\addlegendimage{/pgfplots/refstyle=graph:BRAIN}\addlegendentry{BRAIN}
\addlegendimage{/pgfplots/refstyle=graph:Naive}\addlegendentry{Naïve}
\addplot[mark=diamond*,mark options={fill=orange}] coordinates {
({0.00005}, 1000.0)
({0.001}, 1000.0)
({0.005}, 1000.0)
({0.01}, 1000.0)
({0.05}, 1000.0)
({0.1}, 1000.0)
};
\addlegendentry{No Inference}
\end{axis}
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2305.04062 | arxiv | 2023-05-09T02:10:26 | |
The high-level \emph{threat model} of speech interaction, where a private message is sent through a channel to the legitimate recipient, but consequential side-information is bundled to that message. It is a threat to privacy when an undesired recipient gains access to that private message or side information (marked by red arrows and exclamation marks). | \documentclass[journal]{IEEEtran}
\usepackage{amsmath}
\usepackage{lipsum,amsmath,verbatim}
\usepackage[colorlinks=false]{hyperref}
\usepackage{tikz,pgfplots}
\pgfplotsset{compat=1.16}
\usetikzlibrary{math}
\usetikzlibrary{calc}
\usepgfplotslibrary{external}
\usetikzlibrary{arrows, decorations.markings}
\begin{document}
\begin{tikzpicture}
\node[matrix,column sep=1mm] at (0,0) {
\node {Sender};
& \node{\parbox{1.5cm}{\centering Channel}};
& \node {Recipient}; \\
\node {\includegraphics[height=8mm]{example-image} };
\node[circle,minimum size=10mm] (user1) {};
&&
\node at (-.1,.7) {\scalebox{-1}[1]{\includegraphics[height=8mm]{example-image} }};
\node[circle,minimum size=10mm] at (0,.7) (cloud1) {};
\node[right of=cloud1,xshift=1mm] {Legitimate};
\node at (-.1,-.7) {\includegraphics[height=6mm]{example-image} };
\node[circle,minimum size=8mm] at (-.1,-.7) (threat1) {};
\node[right of=threat1,xshift=1.5mm] {Undesired};
&
\\
};
\usetikzlibrary {arrows.meta}
\draw [->,thick,red] ($(user1.east)+(0,.1)$) -- ++(1.3,0) -- node[very near end,above]{!} ($(threat1.west) + (.1,.2)$);
\draw [->,red] ($(user1.east)+(0,-.1)$) -- ++(1.3,0) -- node[near end,below]{!} ($(threat1.west) + (0,0)$);
\draw [->,thick] ($(user1.east)+(0,.1)$) -- node[midway,above]{\parbox{1.5cm}{\centering Private message}} ++(1.3,0) -- ($(cloud1.west) + (0,-.1)$);
\draw [->] ($(user1.east)+(0,-.1)$) -- node[midway,below]{\parbox{1.5cm}{\centering Side-information}} ++(1.3,0) -- ($(cloud1.west) + (.0,-.3)$);
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2305.05227 | arxiv | 2023-05-10T02:10:40 | |
Equip the $1$-skeleton above with the factorization rule $c_2 b_1\sim e_1 a_2$ and $e_2 a_1\sim c_1 b_2 $ (the remaining relations are fixed). Notice that $w$ is fully reducible with color set red (dashed) and blue (dotted). If a smaller color set was chosen, notice that the first condition of Definition \ref{red} would not be satisfied. Observe that reduction cannot be performed in any obvious way. That is, removal of $b_1$ will remove only a single edge of the commuting square $c_2 b_1\sim e_1 a_2$. This means the resulting $1$-skeleton will not correspond to a $2$-graph. | \documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage[utf8]{inputenc}
\usepackage{tikz}
\usetikzlibrary{positioning}
\usetikzlibrary{decorations,arrows,shapes}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzpicture}[roundnode/.style={circle, draw=black!60, fill=gray!5, very thick, minimum size=3mm}]
%Nodes
\node[roundnode] (w) {w};
\node[roundnode] (x) [above right=2 of w] {x};
\node[roundnode] (v) [below left= 2 of w] {v};
\node[] (xl1) [right = .5 of x] {};
\node[] (xl2) [right = 1 of x] {};
\node[] (vl1) [below= .5 of v] {};
\node[] (vl2) [below= 1 of v] {};
\node[] (u) [above left = 1.6 of w] {};
%Lines
\draw[->,line width = 1.5, draw = red, dashed] (w.north east) to[bend right = 20] (x.south);
\draw[->,line width = 1.5, draw = red, dashed] (v.north east) to[bend right = 20] (w.south);
\draw[->,line width = 1.5, draw = blue, dotted] (w.north east) to[bend left = 20] (x.west);
\draw[->,line width = 1.5, draw = blue, dotted] (v.north east) to[bend left = 20] (w.west);
\draw[->, line width = 1.5, draw = red, dashed, dashed] (v.south west) to[in=90, bend right = 80] (vl1) to[out=270, in=10, bend right = 80] (v.south east);
\draw[->, line width = 1.5, draw = blue, dotted] (v.south west) to[in=90, bend right = 80] (vl2) to[out=270, in=10, bend right = 80] (v.east);
\draw[->, line width = 1.5, draw = red, dashed, dashed] (x.north east) to[in=90, bend left = 80] (xl1) to[out=270, in=10, bend left = 80] (x.east);
\draw[->, line width = 1.5, draw = blue, dotted] (x.north east) to[in=90, bend left = 80] (xl2) to[out=270, bend left = 80] (x.south east);
\draw[->, line width = 1.5, draw = red, dashed, dashed] (v.north) to[bend left= 50] (x.north west);
\draw[->, line width = 1.5, draw = blue, dotted] (v.north) to[bend left= 35] (u) to[bend left= 35] (x.north);
%Labels
\node[] (a) [below right = 1 and .1 of v.east] {$\boldsymbol{\{{\color{red}a_1},{\color{blue}a_2}\}}$};
\node[] (b) [above right = 1 and .1 of a.north] {$\boldsymbol{\{{\color{red}b_1},{\color{blue}b_2}\}}$};
\node[] (c) [above right = 1.6 and .5 of b] {$\boldsymbol{\{{\color{red}c_1},{\color{blue}c_2}\}}$};
\node[] (d) [above = 1.7 of c.east] {$\boldsymbol{\{{\color{red}d_1},{\color{blue}d_2}\}}$};
\node[] (e) [above left = 2 of w.north west] {$\boldsymbol{\{{\color{red}e_1},{\color{blue}e_2}\}}$};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2211.17156 | arxiv | 2022-12-01T02:19:21 | |
$L^{\star}_{S}$, which is formulated with Schnorr randomness, is compatible with more worlds than $L^{\star}_{ML}$, which employs Martin-L\"of randomness. However, the two are empirically indistinguishable, if one is limited to Turing-strength computation. | \documentclass{article}[12]
\usepackage{amsmath}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usepackage{tcolorbox}
\usepackage{pgfplots}
\begin{document}
\begin{tikzpicture}
\draw[black, very thick] (0,0) rectangle (5,4);
\draw[blue, very thick] (0.3,0.3) rectangle (4.6,3.4);
\draw[purple, very thick] (0.15,0.15) rectangle (4.8,3.7);
\node[blue] at (0.8,2) {$\Omega^{L^{\star}_{ML}}$};
\node[purple] at (5.55,2) {$\Omega^{L^{\star}_{S}}$};
\node[black] at (-0.32,2) {$\Omega^{L}$};
\draw[->, thick] (5.2,2) -- (4.82,2);
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2303.01411 | arxiv | 2023-03-03T02:21:04 | |
Schematic diagram of two black holes generated at $\tau=0$ from pure dS. A topology change of the spatial section from an interval to a circle occurs with two copies of global de Sitter spaces by GPBH mechanism. After the black holes evaporate completely, two disjoint dS spaces emerge. We excise small regions at the spacelike interfaces of de Sitter spaces and glue them together along the green lines so that an observer can move to a new de Sitter space within finite time. | \documentclass[11pt,a4paper]{article}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing}
\usepackage{amsmath,amssymb,amsbsy,amsfonts,latexsym,graphicx}
\usepackage{color,array,subfigure}
\begin{document}
\begin{tikzpicture}[scale=0.7]
\draw (-4,4) -- (-4,2)--(12,2)--(12,4);
\draw [decorate,decoration={zigzag,segment length=2.2mm, amplitude=0.6mm}] (-2,4) -- (2,4);
\draw [decorate,decoration={zigzag,segment length=2.2mm, amplitude=0.6mm}] (6,4) -- (10,4);
\draw (-4,4)--(-2,4);
\draw (10,4)--(12,4);
\draw (-4,2)--(-2,4)--(0,2)--(2,4)--(6,4)--(8,2)--(10,4)--(12,2);
\draw (12,6)--(10,8);
\draw [dashed] (2,2)--(2,4);
\draw [dashed] (6,2)--(6,4);
\draw [dashed] (-2,2)--(-2,4);
\draw [dashed] (10,2)--(10,4);
\draw (2,2)--(2,0) -- (6,0) -- (6,2);
\draw (2,0)--(6,0)
node [midway, below] {${\cal I}_1^-$};
\draw (6,0) -- (2,4);
\draw (6,4) -- (2,0);
\draw [green] (2,4)--(6,4);
\draw [green] (-4,4)--(-2,4);
\draw [green] (10,4)--(12,4);
\draw (-4,3) node[sloped, rotate=-50] {$\parallel$};
\draw (12,3) node[sloped, rotate=-50] {$\parallel$};
\draw [very thick, blue] (2.4,3.9)--(5.6,3.9)
node [midway, below] {$R_1$};
\draw [very thick, blue] (10.4,3.9)--(12,3.9)
node [midway, below] {$R_2$};
\draw [very thick, blue] (-4,3.9)--(-2.4,3.9)
node [midway, below] {$R_2$};
\draw (2,4)--(2,8);
\draw (6,8)--(6,4);
\draw (2,8)--(6,8)
node [midway, above] {${\cal I}_1^+$};
\draw (2,4)--(6,8);
\draw (2,8)--(6,4);
\draw (-2,4)--(-2,8)--(-4,6)--(-2,4);
\draw (-4,8)--(-2,8)
node [midway, above] {${\cal I}_2^+$};
\draw [dashed] (-4,4)--(-4,8);
\draw (10,4)--(12,6)--(10,8)--(10,4);
\draw (10,8)--(12,8)
node [midway, above] {${\cal I}_2^+$};
\draw [dashed] (12,4)--(12,8);
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2212.14753 | arxiv | 2023-01-02T02:18:51 | |
Schematic view of the optimised placement of the Vanilla RNN showing the 5 cells and the dense layer with respect to the memory and DSP lines inside the FPGA. | \documentclass[a4paper,11pt]{article}
\usepackage{tikz}
\usetikzlibrary{shapes.geometric}
\usetikzlibrary{arrows.meta}
\usepackage{tikz-timing}
\usepackage{xcolor,colortbl}
\usepackage[utf8]{inputenc}
\usepackage{graphicx, color}
\begin{document}
\begin{tikzpicture}
\node[draw, minimum width = 16cm, minimum height = 20cm, align=center] (RNN) at (0,0) {};
\draw (RNN.north west) node(Position_second_cell){};
\draw (RNN.north east) node(Position_third_cell){};
\draw (RNN.east) node(Position_forth_cell){};
\draw (RNN.west) node(Position_fifth_cell){};
\draw (RNN.south west) node(Position_dense){};
\node[draw, minimum width = 8 cm, minimum height = 8cm, below of = Position_second_cell, anchor = north west, node distance = 0 cm, fill=blue!20] (Second_cell){\Large Second cell};
\node[draw, minimum width = 8 cm, minimum height = 8cm, below of = Position_third_cell, anchor = north east, node distance = 0 cm, fill=yellow!20] (Third_cell){\Large Third cell};
\node[draw, minimum width = 8 cm, minimum height = 8cm, below of = Position_forth_cell, anchor = north east, node distance = 0 cm, fill=orange!20] (Forth){\Large Forth cell};
\node[draw, minimum width = 8 cm, minimum height = 8cm, below of = Position_fifth_cell, anchor = north west, align = center, node distance = 0 cm, fill=brown!20] (Fifth_cell){\Large Fifth cell};
\node[draw, minimum width = 8 cm, minimum height = 2cm, below of = Position_dense, anchor = south west, node distance = 0 cm, fill=black!20, align =center] (Dense_layer){\Large Dense layer};
\draw [fill = black!5] (RNN.center) + (-3,1) node(){\Large First cell} ++ (-2,2.5) |- ++ (4,4) |- ++ (6,-4) |- ++ (-6,-3) |- ++ (-4,-4) |- ++ (-6,4) |- ++ (6,3);
\draw (RNN.north west) ++ (1.5,0) node(Position_DSP1){};
\node[draw, minimum width = 1cm, minimum height = 20cm, align=center, text height = 15cm, anchor=north, below of = Position_DSP1, node distance = 10cm, fill=purple!10] (DSP1){\rotatebox{-90}{\Large DSP Line}};
\draw (RNN.north east) ++ (-1.5,0) node(Position_DSP2){};
\node[draw, minimum width = 1cm, minimum height = 20cm, align=center, text height = 15cm, anchor=north, below of = Position_DSP2, node distance = 10cm, fill=purple!10] (DSP2){\rotatebox{-90}{\Large DSP Line}};
\draw (RNN.north) node(Position_RAM){};
\node[draw, minimum width = 1cm, minimum height = 20cm, text height = 15cm, align=center, anchor=north, below of = Position_RAM, node distance = 10cm, fill=green!10] (RAM){\rotatebox{-90}{\Large Memory Line}};
\end{tikzpicture}
\end{document} | 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qe9YPSK2+OSyxw9Eirx5SU94e/cLJc9YqZ/VmvllPZOIV9LN0tZ21x4shuxy7xUePh6Lc2R3TqJePmbZpoFec4h7T1kgaZJVOknlPZhtBflpTuUKLh1WxuzPxdjOElj9Jar9mIs3mR+o17p1mzbh/x04Z46zdy0wEElybVxZCKwALbzLLvUGaeEpnBCw8Hm7Oumb/MWazYiazm048iSM5kGJXAvZpPJQurp0w32gqs0RLPAeRZglw7ULT2MPiPqqgeldhi3QXbi2PHT4P0NkesxvYBAVWje/Cd530b0h86cvMmKPcJH9JstnSrV75J81cTLAUyJ8pdvd3SqG2YRPAHLMDfXcgB4uxfYWaFxI9X9dVcuPqpPNYc7+8Lo8y6cVAa6sgzqLRj+kRv0P1OYwnFzgncX111KyTp3/ZfELENABsby0lSgplTuf8lv2+VpgobQKu/CDtzTZSyLBGv2xHp4NMrhSsi0BdLqrTbYBwoP8teF+S3qk4Xn2hYoLXjkhzZ4mLOEKvVyiV/KbRayw1iFWyBblI9slqfrqBFbGQ+XfH7Nz35yqiFdY4mBpdr9hOcRbiFam7it99W/DPTpnuoY3Wf/dgPfphtWAHd6jUaTpoLVVw0j5LENUEg3dhtWE8L4mWzvibp/5Z1nendi1/RlaDgWZc56PWufIcGkJCcaZ2MOZ2BemZSkKP++twC5rCkdqUTFSfhKAFSn8/ndCCeMHe+tzhDJmMRCEH5UtK9BCyqODB17wZlHd1YOKY2xJG7IfXUkL8WFIPCCQ/+FlSqNu5xBF/AkbpLHMn7ZldKybX2b3TPEeNAiJrJV+OECjO8hHI0YhkhJo3Jja8ncpLYmNq4T92nXf77h1/uyYAQabNTzS3x8t2lDrWtRhJ2KSTdTI3RxsJWGzkfAGSap1YhTx8xZCqabsvRs9v8o/1Uo91S7UmBq1qkbBs5Io5CrehV4mmlQkNKHGnFjbxZ+gsKpG3CXysnApGm93UbyCZ41Cg9h9lWw6LC0cmqogF0226xuCSh2noYo+b0DNVohIlUW/2MQT5z1w6MyJJ6HWMOVavPdl184iofi6lDott8vhiaMkoSYmnLUxz5qXIZ0cTfC/ajmVThNa87DTsgjFK2cJ7h52qv3Z67tEl+P217OxLRsq+53rnzDpncQOUDpMIeS6zPDTqZbAAtftEdoSjVBHN+wbuEctLqbDtqbyphE0SBJIh/uaE+nIVTNxwGeyXI4MM5c/BM9VKJBjSyUF2QFJl7VcUp2JfRdEyfnn6ix0Iok8rLmxIweNfGEXGSawNJboqk1UyVrPQGp15pg1vCQXw1IMQncqlq1QXPwQj0gkWETxJTzdL7cZnz7r5VuOUfGYhSHLKnE6xN863bOnIpofdyPLhvVluD56ggM48p0k3i3zlvrQKPZ+7CCqETbrgx3LhCDaq8X3ZoLx7vcZEnHO99XjZMRfX0rUEdtSn6KmTNxLanVFMLVTpA94fNvdGWnxhr3E7oyMdZUurbV8Yci6k3YUJvohxQWd77crOdWHn4GSc70ZrD6dK/CLJJ8JbBF84XvBholLIpPcSu3hBd4h7UN2mwKU+hetH/n5NNEsaCLuxSvkg6dlL9FzjC7tKRv96FVGfIFM+w372ryQxLB/CH89c8S7HqpFhlGFnDtVcehtpWAjnUeQ7TOUEUcKb03m+NX05ii7RoK6R6afmZJXXwTr474i8o/yN6c378D56yYPnbGsmfw41QZ0f3sTz81NxW33QeNhnpsy8QFZd+sS32UFwfLJbE1KuaT+mIj2QmVXXLmFeQgjyzJtK8mGjQmdWdoY3T30QsdF4dpgRWvhKbYpqC6zjnd9DH3FrQ9+hg4X4KjsoOquB7TgfLaRzA7SVT6b7oU/OhshxvocyxYqh+sbgeCCyzByezh9gLwBJ/qqkEe3Wq1SpXMSh2YQuyPytiGJtjMCpoI4uMhsz/CFSQ/MH+eIzbzACxrCmXu4Tg03ONpYmepWGJuOPPkarGB2l9GZVvnPLUnNcjcHvr0mwBQ5iEMY4E1Pl1OoFLNwWlDZ3K1/YhZZUcdO6bZeE4u/YjVZpMaa+9AZU2PzoTO/yzp+WvrPe63s93Dr2tuD2uc0KSzibSO6VS7yNZXRBgbT6jZZVeFwkJ+xdctRuFRwlxexZQ1FMv5Md09AUpDSjEm8n3UrAhmiCTVMeQyAJp0Zfz/6GYsXJsxPURmXBing9TTHC4CqbndW/R4PPPsLSrJ6AMdO+qPXL4GWKpuvb4QG4taxl60z+d2B2Qm9t8AdhgYrn0ix9zLsp0TwqWVis2JRVRK+mxIdhkvKuCQlr4BcEBbGmVdc/mFk/W/Av0HwMUH3+toq9wWZWwtz6q8FLwX5CoLxxP5xj8I6YiIK1AnqBDAkCaNLVVU7lCcAIiqmgwjIC92xb/eEZ3t9gHVJ03fK/kOS0HiRa8yEMxMrnS/vmzbCFLjDW8zIJkqu3BY7Pvn3wkux27VmrfxhN7blbgzfkkNIsddFb8ADap3pt3Gr9im5tsFPWOVInpU7M2OcbkztiZZfwfFvOYQR+KLtAnX39D52qx3HUHEwzIYu7VHTVppT9lUnLG+MFPGoy1eVjhM9UNmoRG466Tu97jptpXMnIgCSjAGKEL0YRKoQEyapCxmpyT8GFaWe2W8o8pdSS0w7wHuYhYRFuljjlXMW3eYvoaAjDDYKxAygUUa9xxMLY39a+d7sAXL3xzp13CPksHl0fVNUG6tz07VH+SI9S3N/oRgBR1Og00nCVjknnR9N3N7MStUtGpI3nVBPZjrvkJqlY/DDiSgSeT3+CJ7I+zuN9PfDqZHDDMhnNoCvtmEleHikvRLLRGp8cd/aKGFt2KWMgU0ioltNyYIEBpapS3XMV/QfND1L/uggm9964L9gfBI3oe+2ewWzGokxSvQg2wkNgLOE2CwkZLtMudJclFhH7r1x4cdfFVtrKMJCia6gHcLrxkGijvNWTlDvNMTvOKk0YbOT0fhjP4l9jT/Y49DZ9C02F+mtybcuDvKx0kVrd+2TQfZPWZrMG6+kbsnjtjpDezd4SC5bif1satUK3dntN13KylGxIyYMbJP10FWZUMHLM04DYxh8BSw5RpenWlOUk1ZB+vyYOIrMTED8wNPceHWFB9Q6p731YzJUPoq3uXoQLk+EHaOSdzSonyA2Hv0p5HdNZnlVE10kfkkQ+hPQVNfipWQBiowJxZ19X8oK8HhHvoLMOVAyj+JMbH5gUOLDXR09r+z1lYAe1LVb3DZMhiZ8B1SzCB7QliwecMtxvvSUN3BmZhtaYITibPKnzAnk+ycJ1VNzYrbNoBq3rVSVnCyUtPSchoTn4bOYKAZR0zySxtai2EpqDOdFuDwPTKZ17Ah2OXr1JeaLgSW3QD6CLUT2a58JHN2V+XnDRn3BmHBqbRxRPExM9679FCGJCf9PRh/vV1k0Ib60xWLs9ENbECVATiNEm3DzgNolF6qAmN0kNDdbU8YCUkN1KbCr2jmEV+SLcVDlofa7icDDcDnlFqrP4wUOo/gXOftuVg7MTZmRsFl8e/fIRBcgtJXyPMh6KsYtv6dErTF8rwEBZZ41Seq2vn3mrOSwaGLBUitdMcGUjER47SPlkGHck/RqHzq71IzoqopP+rYtn0V1sHjtB3VNtRl/xXoZSfQRED7EmEhVBHcWMi+H65ZEoT+evG3VkjOfXPW15dZPEZhXiWrIB4bfLFrzLA9OOd+fEREx7/UhYu6KQGkWhuRTUIuX0q7gOoLZtN3dr8gVG7C86itXD7FwIve53f96EVIVx0fjZJBhJMJ/IuaJDUtQla6BjWtbIgjqz9MuSJR0JWerWVXXzgBuzSBs1GY9mFq/Xg31MgBlFFTa8w+mPuvFAf+IdWe9+l84iqEZcsKqUhtTruD3i15e2Vb0bK9dhvF+r332Czrq9FZpAjWSkLiDyjp0Y5S8Senkg/LnpIDy4JmqwQMAxcEbkviNHzsv1abmow3G1NMpNJcYXS10d08bnKLg1XJNeGt/I7mRrkh03fYjKA796KD3bZRHGHdMQqgN44q1yK5PRYtmJ7qQC1W0p/eZTfinw0WCkxofpeinBXAPkaoAH6Dd7Zz7nG2Dbd2HBpW+k+STlLxK4dPDzZHARV1E3QzJQrcf0/TVPStlb9GkY6t0mxBeiYpI+UMGS7uq3BSxH0go5vq1xTx+Zu4kKSFKChueP8CS032jMKRpD0cMqVi/fJNtlRLqK+0VOWeANZgKnlUYlWD7Xexh2TBX5+mfrjdSvGyirr1fZsq0Whgt+IkEfsd7+sGgulvFGR2DUk9PrA9umOt58YvT1aTpPqEFBMTY0SnKjIFRFxjYinyJnj0anGAkd6reh9Kye3x6LJQIxn8quL7AdU/gj52zC3I+IjlFiqSuWgP1s8tuYLVK9N2h6WOoZb8K1KmtCLQ9dp6PfWvrG+d0zZ7+J9saOOSRhz0rB/Ewm9lMMPpcC0sha6B5ZdVJWoslfcc/pET90h+BVj3wfQSG7CHrHo/Kl7D1b/Fx153s1k8ym3nh3Nmu7c6n5QGdHW89SWeGV4QGi8EgcHJCeq7FUojlB2Eg/ckl4PlTItamctzEtVFutvE6o9p1rF04TqY3UNquOWfeDveSiiXOEq+Szfe/CDCAHiteWpItv3Ul20/IT5e8eGjJKeMz7iHVHCWR9BoZlJHH0RoLTkCyjtlPuoAD3K5/RnKwDlqUAEE/MQQewa8N94XV0L9qlB2rM1hnZdrX7QKEijk+06Tsy2RMVhHzWEKbVLmf1GEYqlPX8kU70LFMU6c7u8ZETIVfZivxCtRLCIhWZFuD5BcF5tk7gdaHzg6BoWEIlhqfWd1Yixarb9U0tcka8WlszxkRNeEhQYsvmOrmTbbu0I/r3t4QSQ7N5EWsNdAGNUtEWY0216w+o708NiZm2S1lRn11/mQuuzoqb/cX+loxhKIl3C2qR+V4mx9cT5dCS2kx2d8DMmn0nOGQirjW8HpUtbPi64cOmOhWwpT3y8u2c6ejgPZpLP93SacKpc6sB5nuOIj2T9lO0woVZcPghc59bwuLHhaYv4uz5XLtwi4ZJDubg4k9arIun4yW5bmxTBGv8hhGucwz5WNT6fjSccY2lE6EyMVSngLy4SMoXi/mZBZhgS80R/xfrMTavUd9+XfvCt0uJPNXTyrD2g/vUf1Jd56aJ0zKO6lsV9ntRwS31G/++vB67wJPgy+cAjzKTGqcTFpf2hQe06RA7ykwnebx9r9Sm5u7ZcPbguCDXM5vFOiMn4kQ5Iw864oJcRawWWitedSRIJc5mDBtkbu5qFaqzZOQt3CK9kyEP0yVMM9UheYuW75MhP7WGF5L9CTnzUxiVw9itHoiH/FArtcStqnHhzEzPv3fCA5jp+81QPVZ3W7w6KRX5FEaFuEIZNumYfZ193xv/BDIdz7ET3ztzRSddOKuQM+9Yz21ler6+U+upvHK5NYTUhIX8VpvwK+FpDqJczfSP01+OV+7pBfYSjVmWEcl54Pj3WtUsgQ6MWh8imweHJPAwGxQNndLUQiYkkTJzojYajq6LL1BWkt8zdcfae5wjMHXQSiNGMuDHhcZPM94kgKxNtbCfKrI8/Yrd973s+u68IXJtH3Woq5s4bRIfwTcChTouL4P9aepGMFUz8WJzWJnBd6XYzJTzRYqGeB7FxbxLJe/Y78/x2nf1akcny4cQ3ZM4e1x149DKu2XravNfiGCGIoNA3hBrNDOdKT9f2RrkqFZJH81W3VmuLfZves8sby2fzgNCMPodk9848kpnS2wyUYeZ167sUOj4TojbEsTsprNe2TlIr6Qye0dZyWjZiFWtF5lPJnBM0eP1vPWc2XSex1KhT65hE/tQw61bizT4CUlcfQQUYERjsqTDt3YjzcuuEWaz9/S7J4KCIIb8eYrJIRfe2y9TxhoaoXJUNOuftunsyUniCv3pCI9UtyUEJl9yCbCort2QTEmwo0eGsfO3+cxIlZJ8Rc1JGJeZ+WnynK65/dU5RgUNp+UtQVxazKvk49Fk+qISTv/35zoG6m6CGDYMBA7xl+VeHyCUea2V8QcsjFyWXBcnOPCuVExL8uPBoOjcnYv6RBjPpj0AD+Y7sQTRyfkW/Ax27bxB/FWzGul+IZLc65OXpgebxsAVriOCt3VsTuaDQeF0N6hC6dML4WreoXdjBHzHBV9OTuaCZrLPCsK4QnSz0NgHyaSY8Dpik017J8y6cqwMV9/SF2h8LXJdIAH3/ASm2Ca2OyWuwNqmMOXl4rHrXdF3ZN1EjqtPaQg2p/e18VHECzcQkneIv4/kGDZQIZMK+9EmO8vqzzeJNmnD76nWc0w+xBqvlhESOPRn1fs/R9bmpxvckhUjMYaMzf8kc9nYvJELpmVgz04pzSKWRqtX6GyfxSw9r/0YRz9Xw/INA3v/5bpf370wR5FYK7OhX5lg6zkeTXTSXXPfQbZz6C4LI2lTMFbpfkcQLXd5vL5YcfPTZ+NEloK7sT6AJkb+1Qm3cjWblUHV1CdpNFziyGtTqMdzCbmctymnQp37xzp8+KLSmrHCnLGRyEF2X8JYl1SKRQkBu5ivYzNoFWXupre+I7cMEwjuH3YZXBEmx/Y8Z9nq2+RCJt9YDavIs7egS8rai3a3d/POrQtmU9bvUM9h/5ARklkc+OAxOrevL/o2YgMsn5+Qik898Apa7DRCHDewu30yqj2dSreGlZ9Keal4PKLNgwmiR2SQvAIGxh+z8E1YY2L7NKwjlXJveDEe1iRMRweNfu0ZXU1rzKG5+YKYT78LAGI3Sa5nJqfYobbj+8w5ICZG0SrX+JV+DnzZY0Y0D0hBCj1PqLKxf29jYZCBhyccPNn5wBJCinowl0KDibawUC+0bs2eJ/ZGKs1gcwqDpGwZ2VRCgxyrAl46ZrksJxcVFZX6PJZ6mxuO9GOlRJThNeDlEi3JgZ3klpiC4I2mQF8q0dMb8UG/4t7aGmdR9OBCfDDcxUEYq9IBoYSx3eQuc3wC6fbG8dTvIxYFV0xKSLyDk0+ZA//LJqvqjGcVaVyTnuZWsj3z9G5306PpBYt5rVB8fddaiUWwRfkus49zIHkxbKJe5SN+k887O/jTABKqRmq+GYb1/WA1egRDpP4rOwu1+F9Hvt0ntk+mjJ0Oure36z1/On5ua0XXVIhcIUVImUHg+5aQpFmgTvzRMVd98oIrOiZPuB8hwQj5OlBB4YKzV5i1hBxOo3rx5csPoxPc+2pC5ooEtE5we2oEYVE9myJzu5MXVuZpYfkMuokLEZMdYTA/2W3GEH6Cn7PPfaJdD0tp6NYOdcAxUQRPtW4FovtzzwSeiavxA6F0lXjN2zsHvTl2HgLM1MHLVaCwRYgPd6ZLU9pT0I1F/q3g7PgTc1E/KhbrK4ueraDmuaTOKE9UpNPvAyzSg6lQmPsK7htxHHuXDyVIqkRPt/UMOi0Qez3uj7qf9KKpKJeK48dO8kRraRA+lGPIIqqpR9VwJc0dutP5P2PUDkfvPR4/h8VG20N0ZzK/29+Mq/nmELY+tfJ4KLEQEvaiAl6Fk8TcEzujZiO8yUrlvSZ5b9tbP3EyvwE6WPLeNO9YXqmOhKzI114O1OSQYreXeclohZ1a6YNJhrzTekhLlfpJR6DlZ6TYb8d3vXFIubQ/4/hlbF0tRmlyzl3v59ndchnUhvwkDAa+aWofnkM6pc01O2+teCkRUBcmR80+d0ufC01Elqb19RSnkDVHiYes7nzdSrEhmx8njaqxaKy5wtH7PNG7ecTm00UA+dnA/Sst3vWHi7EqPPS9D3NL98qA9fhe95Qtmctyu8JJvWK52k7e8/Yku/imZh4lKhPlj/HdZOEqM/L4vJUBewrvXjvnQiVwdyneRoSwz0vYTzXOOVhVKirdthCyGh3IFnDlK2ZWQXl+jq7lcCHWXJ1iEgvgpPEwybyjDntz1kf1EULHRB8115LxHq34YbMwoaDuYjI674qD0jL8BVc7We82OODt+/t6Vn7DnfHWmLYDLORBaxJKsa4oTsoIfAfV3maE4e28W3ciqttqh5Dhfml9xngziQvskaYxNDnTp9l69KHGPe+OVSirfgQKapulzW4X0Mgb1VD4BXA3nytlxhDlbyAt/OB8VVXvlhwRffSlWWlNU7/d8frHe3SZhJd6TiC98QjIQp7cvgnOeTNEQdAIYbGC/paneQJPfADplCtzJCmA8qFX8XvhRYgFWj+NgpA/giPSZyTbEnuaqv4hm3UNUBeKK8PsTu0QasatR0CF/Cz5kuZTycP+IsPzoqZMopwBEjmj1IZfGbpIZEtSttek6xtjW+MmY9sil6V17Mg9DvC8Ae/PpFxlEr/GfowEr2MpwBMf/HuH5EXY7PuNVH9tcn0wdbSlJ4jbEMe2FqCXc0f/nmXJQJSqJBLGRzODcx/KdzTI+3k8+kIU9ZunoFpoLNntMo0B7KOE3ppdpOBFydubCjr7nE8cyA26Fws8ViYaZyUgFbyI5caJT/6QEQFrllKqzafXfZBifBSyaCkTnd55lnaFOA72kkBK3XCCdrsj/MH5YibMGAmO8UMDIH06Wuk2btaeHqfCDy7qQyDCVh6wBKVHgrnuiSkKWjTh4iV7zp4q3auAc7EDAW7rCcxLH+tv5+SeJZYfc4FISKW+F/CZmlVwSYMMLwt8la9NvT9EVGzC/zTwgFmzWQ9lU9DFTos3MK1airvZgXm1k67u8T9fBYb8/IgrecTlKLMf3eHD6ftGS6MDTS0NQ/HV/QF239rP33r4CZTmfULgQyHF+fsXMOA+973iTkRLG3tNp0cmqKkmQtChf5i7/7zr6cHg9iCG6KDZi2EYp3sG1nc6K5f70fU459pZtvSnl4wJ6G2+bv7f7gu+f7OBDlKUKKuuSFFwPqEb791zKGAURNOi+bUz0NPkczJnKRQMxEHB02BJ5unIyx9MXqqMBCOS1hgt05f6JiIsHmILKmdkqSCOB10MI1/eGr3UTuRL9F1RphEYdt0GT0AYgi7acRnWMMBMjPVpCjFJfg0Y9DJdiJMoWo69z19tmOqaYmdmOy0Hdta+2kd1ELjmjC/ICH3LxEzU/TVbIpHDmAbF7mp5aqh5lHrE8sCGmH7cIbVnADOrMigHY2SHVGb1+VmjMwSltl6Xet57N5xsy7mo+U5zkQZ0rjSom7deVRgmulw3VPvie4vo3XzekwI/nf1apK55mk0nsbi0tTJEF3Lir1jVKJZfNBgSa9Vg9dWMTzBOhjAaFoQl6qswFcMJaXL2oxOp0d3aobGu6+DbUppUUqZD3bEl07mazzeXMKW0r9cxBg1taGRNaZ77jLetr+AOLTD6S0AFSQzWvRgDvgpJL5DdnV71HcrmHWTvZF3wydHSXRRKP53rGwcjV8+40NT09a1kFBUgl/c3cTzmS7IE3RwL3Let4zLTO+Y9+455nLUfSekUjBgdQIma2N3IHW4L7yQbXjYeGGqiAvXE82rknrSPMntrF3yICiyXF2WRd++60Uj8dc1k5YycywgKLI2husJx1lZvk7/PMW/9gi7WcUFZ8rJrETcWnawBH5CprtpYl67NeAVqVvtqpRWP9AVH7/mUVBLS8NoQyj2/fVe6lJGflFrsuieLKIyX5nhnKIp9IadCBo7mtHOrn4zDLIL/CytV82iEUNUBwYuYvVS20oMw5DiQ6ExdTU/du4ZXmQ48rHdrbNHkQX5QdQYsTgkcvaO7dc2SVD8ht/Kz29q0vOIKCZLrIpF6fcdr5CSWhTiPMTxR0EnqDChOyphNkbyDFCxmVaESZ92IuKOUJ/1EOMGU3p5Z635ZIaGa9issZA6JGbt73JGia0F7bDFw3OZO9yaYdGbj0/D3DoWkipOdzXRdUJlRkWqv9lYBXSoj5VkquCYxThKL0rr5LkWwaJSKClWMUpZukVtyAlYd3bxFCDI6ieyLxgyXUUma4X3yqqYMxDDKH7JOhKt3M0pwqKESDjy71Uw4W0DDGy8yJuJ6SnLivCMkwqI131wfbYrBXnT4NsR5K6EyHQOqKmbo0Ogs172rKPc0kOc46uumOJhUlRQ3c1BOKuHNpbjS6dBr1iDL+VyLkEhkhFH/yDhko7J7/wSUcnK+ElRikNnV8+LFkHueRkA6z0uFZmsAJBb7vW/JTw45A3daVMukoqrwFtPBDhOVePWXQcCb2lcEIxhxqs9ldA/YG1YKNVnfIVvG7zwQJCnO1cRa6gqMfX6vyHisCFiO/rA/p5Vsr1IC1NQ6usvXM/FgZO9Mf0KXM6voxjoTd8GY9UKNCu6Afa/Ze8FTspZBV0yrL0OrY7XMPkx2IyLTKoHLyQGAyfUI6Wbv8b0Qq2+A7THMntWNquBmnLqYIIrO/MK6SDn+bIHJPdgVIAPbujUdvH5CZ/ozHRGCT7F/vkzdHMxo9+nlPr/1MEP8ea8UMgbhlo24fQqRneRn5tkJc3LSa8r8/JC59llbZ5ONqc/IcyjPy5G0nSlAHuc/cr9I/ppwyNazeYehu+EYIZTSEtwcKY04vicoHXI3y0N+QyUcG91H/2wPekTMAcDI2NBSnLC30yN9shHVk05NSz6syyGuwjr1xtLQBcWlzcODJ+REWnVyfVoNSINtEF5L2tF/6fnpi1SGLcJ77J/93Ft3S/aW7FhlP+aylGjjOVMxVqU3m2qXVFvM4VuAFb9CV1rqpOd3SppNd6VfnuKKiN692A3udWaTMCgf0VTmEjFkFiofq8CRQeM4jPTsX/0FYSVJT08l+VSJ6/B8imC/ngxU4Tp/GG9b2BUvwXnd+PS5+IG+YXkYtT+i+kTMZQmmk7gzqLyEXH3TLaJe3qweadFCVtTDwN/0LZMGMwlSV7soSzPelOz3qvQuteOZWQXNFErLV5evaTrqotbWfj6Alotzmiopxu1fjpUIqp56JPWpRnXLdrmnvWRK14tiM6YxhC2Co6FkRO5r2BOgw69Wgri/DDj7nOOd+EOsCLfX8Xwy8/0NwIqLwU8shaK8m7CNaZRiTUjr9YbeKd/EatANOc0940Y/FiG/YHXTCbqIOrsqCWkd79iajfwo1XLsgJ4lZOioea3Yx0/Qt/waBKqqWLf33hGttBJ6vsMduYxG3BHorTmngi8/1hZFKDbfYq8suqr8mWU78Kg8TpG84Zzcx/3qGsPyGWVLVYEIICwVI2UUV+dDDBkyY7/Pm70gghy/CmaAD7AWeOd7T56BR2eecP205PMFF003a1aFRXtBdJKVsVC09N5oKMVaR5Bz7fH5ODLCq2xKx7ivK9cRexeSqYd4pqWV6l5OfGS/wMHTeEdiH69DiZcmOVbO4omKv9UuN/JFmQikK33j8hQ0uTU3LlnCbm18SI+acbu+ysw6fW+ilS6WRH1SVzglkjv3BD+fd72lds8Syd43eAm7+9PQhIO5eJ6e7QChpTcHyPro5XBPSeH0+XS+ePp9E7W9Drg+3eVKYLcT+52CRBYxZBD59b5FUbe2ript4zixgn3wio5wmagubx+XzC3F0LSVglg1QyvCGQeP7riRT+ds+mgxaKAWwclRkP+5Zw/Ua1khpYjaX0YkDCTGOs//jhkBEDdijm3KoShHWrr0BVkV7YCaRgFtV3uzv0FambcndCJDHjZ5IeOCqYMwNtAHT1P45Dtw7KGU31yspUhiBtOVMTWIJLnX66z7UUK/PV1Et16UkyVg1KEsCtIRiORk6PmFqaWbV27LRddgqmSby154zICmTkQul4f1GrIaxV+Q98pOjP4i8aHoaRQZ9tCF2qJfdSoE3WyRgZevTi1HOs1fWz/c0NsDtY3aWOan2SDG8NyP+ZCdN0SfSoao43sC7cUeojkwfZpiSkLHNg4rx3HMehANVDS/PBkzO0L+P4tbiy0KZW5kc3RyZWFtCmVuZG9iagoKMTIgMCBvYmoKPDwvVHlwZS9Gb250RGVzY3JpcHRvci9Gb250TmFtZS9BSEdMUVgrQ01SMTIvRmxhZ3MgNC9Gb250QkJveFstMzQgLTI1MSA5ODggNzUwXS9Bc2NlbnQgNjk0L0NhcEhlaWdodCA2ODMvRGVzY2VudCAtMTk0L0l0YWxpY0FuZ2xlIDAvU3RlbVYgNjUvWEhlaWdodCA0MzEvQ2hhclNldCgvRC9GL0wvTS9QL1MvVC9hL2MvZC9lL2YvaC9pL2wvbS9uL28vci9zL3QveSkvRm9udEZpbGUgMTEgMCBSPj4KZW5kb2JqCgoxMyAwIG9iago8PC9MZW5ndGggNzM5L0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42m1VTW/iMBS851d4D5XaA8V2SAJVhGTnQ+KwbVWq1V4hMd1IkKAQDv336/EjeNn2ABo/j59n7MHc/XhdT1Tdbc0kfOTszZy6c1+ZSfZzcwzu7vKuOh9MOzwbU5t6nD09sde+q9ZmYPfZKl+1zfBgyau22p9rM7K+J2nz0bSegn3Y/bv5PakOvZCT7bnZD0074eC+N8Pecr6bZrbGbmrMLfll+lPTtU9MPHLObaFo66w7wMMpmF50sOmobNe0dX8Rw7aQFgjJ6qYaLiP3XR3sYWDx+vM0mMOq3XVBmrLpm508Df2nU/gQTF/62vRN+8Hub5TZmfX5eNwbqGA8WC5ZbXa2ofX+vDkYNv3O4JXy/nk0TLqxIFVVV5vTcVOZftN+mCDlfMnSslwGpq3/m0toxXY3UhNL5XN8hSpaBqkMLZYxCtxiW8BkqKkwt4WwtDiigsVBGguLE+UKFgdpgskkQyMu0EOhh1pcd7G6RgXJfFRU/dn0F+08XGAZR2MpeQwsqQ4FPCSsgWeEC+CIduDAMWHX57KzWwudUkjXk0zEMT4YZ368wDj34wzj4h/+yClva+AJ50GEOAsBD/YkE2BJXOgTzgPXM2DnQWaO4zzIHFoFXYPCIYuE6gp4Tmsdx3njuePQHRTwIpw3EcG/IF+l45OnzHEK4khg8uH2lYJuG/qlpGvMgRPC8B1STwVOSD1DcEI6Iw090SUCOJOIOBE4UUF+oSEqyRd6xpz40JDkVAc/IX6OPgnpdHepOOnEeSrhc6Okz40KfW7UzOdGRT43Kva5UYnPjVI+N4qyoqBHXbw7fu7zpIrbPKnyNk+a3+ZJi6950vJrnnTo86RnPk868nnSsc+TTnye9NznSS98nrTyedLa50lnPk8693nShc+TLn2eMu7zlAmfp0z6PGWz6525X777peNtwjt6ffWqc9/bB9E9tu6hwxPXtOb6Hh+7I1a5j3vIx78NjF7K4C8rkKhaCmVuZHN0cmVhbQplbmRvYmoKCjE0IDAgb2JqCjw8L1R5cGUvQ2F0YWxvZy9QYWdlcyA5IDAgUj4+CmVuZG9iagoKMTUgMCBvYmoKPDwvUHJvZHVjZXIocGRmVGVYLTEuNDAuMjUgXChDcm9wcGVkIGJ5IHBkZkNyb3BNYXJnaW5zPj0yLjAuXCkpL0NyZWF0b3IoVGVYKS9DcmVhdGlvbkRhdGUoRDoyMDIzMTIwOTEzNTE0NCswMScwMCcpL01vZERhdGUoRDoyMDIzMTIwOTEzNTE0NCswMScwMCcpL1BURVguRnVsbGJhbm5lcihUaGlzIGlzIHBkZlRlWCwgVmVyc2lvbiAzLjE0MTU5MjY1My0yLjYtMS40MC4yNSBcKFRlWCBMaXZlIDIwMjNcKSBrcGF0aHNlYSB2ZXJzaW9uIDYuMy41KS9wZGZDcm9wTWFyZ2luc1Jlc3RvcmVEYXRhKFtbMC4wLCAwLjAsIDU5NS4yNzYwMDA5NzY1NjI1LCA4NDEuODkwMDE0NjQ4NDM3NV1dKT4+CmVuZG9iagoKeHJlZgowIDE4CjAwMDAwMDAwMDggMDAyNTYgZiAKMDAwMDAwMDAxNiAwMDAwMCBuIAowMDAwMDAwMDM3IDAwMDAwIG4gCjAwMDAwMDAwNTggMDAwMDAgbiAKMDAwMDAwMDEwNyAwMDAwMCBuIAowMDAwMDAwMjEzIDAwMDAwIG4gCjAwMDAwMDAzNTcgMDAwMDAgbiAKMDAwMDAwMTM1MiAwMDAwMCBuIAowMDAwMDAwMDE2IDAwMDAxIGYgCjAwMDAwMDE0OTggMDAwMDAgbiAKMDAwMDAwMTU1MCAwMDAwMCBuIAowMDAwMDAxODQ4IDAwMDAwIG4gCjAwMDAwMTI2NjMgMDAwMDAgbiAKMDAwMDAxMjkwNSAwMDAwMCBuIAowMDAwMDEzNzE0IDAwMDAwIG4gCjAwMDAwMTM3NjEgMDAwMDAgbiAKMDAwMDAwMDAxNyAwMDAwMSBmIAowMDAwMDE0MTEyIDAwMDAxIGYgCgp0cmFpbGVyCjw8L1NpemUgMTgvSW5mbyAxNSAwIFIvUm9vdCAxNCAwIFIvSURbPDc5QkYwRTQxQjg2RTgyNjlEMzgxNjMzRjg1MzRGNEY0PjwzNDRFNjgxRjI5MzlFNThDNEJGNzZGNDg1ODBBRjc4Mz5dPj4Kc3RhcnR4cmVmCjE0MTEyCiUlRU9GCg==" | https://arxiv.org/abs/2302.07555 | arxiv | 2023-02-16T02:10:29 | |
Host-side overhead types. The labels T1--T5 indicate the five overhead types introduced in Section~\ref{sec:device-idle-time-analysis}. Each op has one T2 and one T3 overhead, and at least one T4 overhead if it has device kernel calls. | \documentclass[conference]{IEEEtran}
\usepackage{amsmath,amssymb,amsfonts}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{arrows, arrows.meta}
\usetikzlibrary{external}
\begin{document}
\begin{tikzpicture}[scale=0.75, every node/.style={scale=0.75}]
\node[] at (0,0.25) {CPU};
\node[] at (0,-1.55) {GPU};
\draw[draw=black] (1,0) rectangle ++(7,0.5) node[pos=.5] {$Op_1$};
\draw[draw=black] (8.45,0) rectangle ++(3,0.5) node[pos=.5]{$Op_2$};
\draw[draw=black] (1.25,-0.5) rectangle ++(2,0.5) node[pos=.5] {$Op_{1\_1}$};
\draw[draw=black] (1.5,-1) rectangle ++(0.35,0.5);
\draw[draw=black] (1.75,-1.8) rectangle ++(2,0.5) node[pos=.5] {$Kernel_{1\_1}$};
\node (A1) at (1.65,-0.9) {};
\node (B1) at (1.85, -1.75) {};
\path[->,>=stealth'] (A1) edge[bend right] node [right] {} (B1);
\draw[draw=black] (4,-0.5) rectangle ++(1,0.5) node[pos=.5] {$Op_{1\_2}$};
\draw[draw=black] (4.25,-1) rectangle ++(0.35,0.5);
\draw[draw=black] (4.5,-1.8) rectangle ++(1.75,0.5) node[pos=.5] {$Kernel_{1\_2}$};
\node (A2) at (4.4,-0.9) {};
\node (B2) at (4.6, -1.75) {};
\path[->,>=stealth'] (A2) edge[bend right] node [right] {} (B2);
\draw[draw=black] (5.2,-0.5) rectangle ++(1,0.5) node[pos=.5] {$Op_{1\_3}$};
\draw[draw=black] (5.45,-1) rectangle ++(0.35,0.5);
\draw[draw=black] (6.3,-1.8) rectangle ++(1.5,0.5) node[pos=.5] {$Kernel_{1\_3}$};
\node (A3) at (5.55,-0.9) {};
\node (B3) at (6.4,-1.55) {};
\path[->,>=stealth'] (A3) edge[bend right] node [right] {} (B3);
\draw[draw=black] (8.7,-0.5) rectangle ++(2,0.5) node[pos=.5] {$Op_{2\_1}$};
\draw[draw=black] (8.95,-1) rectangle ++(0.35,0.5);
\draw[draw=black] (9.2,-1.8) rectangle ++(1.25,0.5) node[pos=.5] {$Kernel_{2\_1}$};
\node (A4) at (9.1,-0.9) {};
\node (B4) at (9.3,-1.75) {};
\path[->,>=stealth'] (A4) edge[bend right] node [right] {} (B4);
\draw[draw=gray] (1,0.75) -- (1,-2.25);
\draw[draw=gray] (1.5,0.75) -- (1.5,-2.25);
\draw[draw=gray] (1.85,0.75) -- (1.85,-2.25);
\draw[draw=gray] (4.25,0.75) -- (4.25,-2.25);
\draw[draw=gray] (4.6,0.75) -- (4.6,-2.25);
\draw[draw=gray] (5.45,0.75) -- (5.45,-2.25);
\draw[draw=gray] (5.8,0.75) -- (5.8,-2.25);
\draw[draw=gray] (8,0.75) -- (8,-2.25);
\draw[draw=gray] (8.45,0.75) -- (8.45,-2.25);
% T1
\draw[>=stealth', <->] (8,-2) -- (8.45,-2);
\node[] at (8.25,-2.35) {T1};
% T2
\draw[>=stealth', <->] (1,-2) -- (1.5,-2);
\node[] at (1.2,-2.35) {T2};
% T3
\draw[>=stealth', <->] (5.8,-2) -- (8,-2);
\node[] at (7,-2.35) {T3};
% T4
\draw[>=stealth', <->] (1.5,-2) -- (1.85,-2);
\draw[>=stealth', <->] (4.25,-2) -- (4.6,-2);
\draw[>=stealth', <->] (5.45,-2) -- (5.8,-2);
\node[] at (1.7,-2.35) {T4};
\node[] at (4.45,-2.35) {T4};
\node[] at (5.65,-2.35) {T4};
% T5
\draw[>=stealth', <->] (1.85,-2) -- (4.25,-2);
\draw[>=stealth', <->] (4.6,-2) -- (5.45,-2);
\node[] at (3.15,-2.35) {T5};
\node[] at (5.05,-2.35) {T5};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2201.07821 | arxiv | 2022-11-18T02:03:31 | |
The speedup ParaHT achieves over other algorithms for saddle point pencils of varying size. IterHT is not listed because it failed to converge within 10 iterations of iterative refinement. | \documentclass[]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{pgfplots}
\usepackage{pgfplotstable}
\pgfplotsset{width=10cm,compat=1.9}
\usetikzlibrary{patterns}
\usetikzlibrary{graphs}
\pgfplotsset{compat = 1.13,
% define your own legend style here
my ybar legend/.style={
legend image code/.code={
\draw[##1] (0cm,-0.6ex) rectangle +(2em,1.5ex);
},
},
}
\begin{document}
\begin{tikzpicture}
\begin{loglogaxis}[
xlabel=$n$,
ylabel=Speedup,
legend style={at={(0.97,0.03)},anchor=south east,nodes={scale=0.9, transform shape}},
ytick={0.5,1,2,4,8},
yticklabels={0.5,1,2,4,8},
xtick={500,1000,2000,4000,8000,16000},
xticklabels={500,1000,2000,4000,8000,16000},
ymax=12,
grid=major,
height=0.4\textwidth,
width=0.8\textwidth,
]
\pgfplotstableread[row sep=\\,col sep=&]{
n & tlapack & thouseht & tmdk\\
500 & 0.147663 & 1.199500 & 0.211133\\
707 & 0.367131 & 2.569658 & 0.397448\\
1000 & 0.959683 & 4.832383 & 0.760001\\
1414 & 2.496546 & 16.597635 & 1.517605\\
2000 & 7.532678 & 38.000038 & 3.504881 \\
2828 & 20.921243 & 65.300489 & 8.013165 \\
4000 & 57.721039 & 126.832965 & 18.785760 \\
5657 & 168.275135 & 276.970838 & 45.696481 \\
8000 & 474.415290 & 636.032131 & 114.442442 \\
11314 & 1390.255426 & 1392.270400 & 345.085465 \\
16000 & 4128.208167 & 3545.268952 & 1067.007897 \\
}\mydata
\addplot[mark=*,black] table [x=n, y expr=\thisrow{tlapack}/\thisrow{tmdk}] {\mydata};
\addplot[mark=square,blue] table [x=n, y expr=\thisrow{thouseht}/\thisrow{tmdk}] {\mydata};
\legend{LAPACK\\HouseHT\\}
\end{loglogaxis}
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2301.07964 | arxiv | 2023-01-20T02:08:29 | |
(A portion of the) Schreier graph of $D$ for the subgroup $H=\{e,x\}$ with $x$ (dashed, black), $y$ (blue) and $a$ (thin, red). Considered with the generating set $\{x,y\}$ (without the red lines), it looks - from far away - like a ray. | \documentclass{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{trees}
\usetikzlibrary{arrows}
\usepackage[T2A]{fontenc}
\usepackage[utf8]{inputenc}
\pgfplotsset{width=8cm}
\begin{document}
\begin{tikzpicture}[shorten >=1pt, auto, node distance=3cm, ultra thick]
\begin{scope}[every node/.style={circle,draw=blue,fill=blue!20!,font=\sffamily\Large\bfseries}]
\node (p1) at (-2,2) {1};
\node (p2) at (1,2) {2};
\node (p3) at (4,2) {3};
\node (m1) at (-2,-2) {-1};
\node (m2) at (1,-2) {-2};
\node (m3) at (4,-2) {-3};
\node (r) at (-4,0) {0};
\end{scope}
\begin{scope}[every loop/.style={min distance=25mm,in=250,out=290}]
\tikzset{edge/.style = {->,> = latex'}}
\draw[edge,draw=black,very thick,dashed] (p1) to[bend right] (m1);
\draw[edge,draw=black,very thick,dashed] (m1) to[bend right] (p1);
\draw[edge,draw=black,very thick,dashed] (p2) to[bend right] (m2);
\draw[edge,draw=black,very thick,dashed] (m2) to[bend right] (p2);
\draw[edge,draw=black,very thick,dashed] (p3) to[bend right] (m3);
\draw[edge,draw=black,very thick,dashed] (m3) to[bend right] node[right] {\scalebox{2}{$\mathbf{\dots}$}} (p3);
\draw[edge,draw=black,very thick,dashed] (r) to[loop above] (r);
\draw[edge,draw=blue,very thick] (p2) to[bend right] (m1);
\draw[edge,draw=blue,very thick] (m1) to[bend right] (p2);
\draw[edge,draw=blue,very thick] (p3) to[bend right] (m2);
\draw[edge,draw=blue,very thick] (m2) to[bend right] (p3);
\draw[edge,draw=blue,very thick] (p1) to[bend right] (r);
\draw[edge,draw=blue,very thick] (r) to[bend right] (p1);
\draw[edge,draw=red,very thin] (m3) to (m2);
\draw[edge,draw=red,very thin] (m2) to (m1);
\draw[edge,draw=red,very thin] (m1) to (r);
\draw[edge,draw=red,very thin] (r) to (p1);
\draw[edge,draw=red,very thin] (p1) to (p2);
\draw[edge,draw=red,very thin] (p2) to (p3);
\end{scope}
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2211.03227 | arxiv | 2022-11-08T02:16:59 | |
Tree embedding in a order-7 triangular tiling of the hyperbolic plane: the order-7 triangular tiling is represented by black lines, and the embedded tree is represented by red lines. | \documentclass[11pt]{amsart}
\usepackage{amssymb}
\usepackage{amsmath,amscd}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw[gray, thick] (0,0) -- (1,0);
\draw[gray, thick] (0.6235,-0.7818)--(0,0) -- (0.6235,0.7818);
\draw[red, thick] (0.6235,-0.7818)--(0,0);
\draw[gray, thick] (1,0) -- (0.6235,0.7818)--(-0.2225,0.9749)--(-0.9010,0.4339)--(-0.9010,-0.4339)--(-0.2225,-0.9749)--(0.6235,-0.7818)--(1,0);
\draw[red, thick] (0.6235,0.7818)--(-0.2225,0.9749);
\draw[red, thick] (-0.9010,0.4339)--(-0.9010,-0.4339);
\draw[red, thick] (-0.2225,-0.9749)--(0,0);
\draw[red, thick] (0,0)--(-0.2225,0.9749);
\draw[gray, thick] (-0.9010,-0.4339)--(0,0) -- (-0.9010,0.4339);
\draw[gray, thick] (1,0) -- (1.1940,0.5972);
\draw[red, thick] (1.1940,0.5972)
--(0.6235,0.7818);
\draw[gray, thick] (1,0) -- (1.5657,0.2724)--(1.1940,0.5972);
\draw[gray, thick] (1,0) -- (1.5879,-0.2206)--(1.5657,0.2724);
\draw[gray, thick] (1,0) --(1.2468,-0.5774) --(1.5879,-0.2206);
\draw[gray, thick] (0.6235,-0.7818)--(1.2468,-0.5774)--(1.2020,-1.0911);
\draw[red,thick]
(1.2020,-1.0911)--(0.6235,-0.7818);
\draw[gray, thick] (1.2020,-1.0911)--(0.7997,-1.4136);
\draw[red, thick]
(0.7997,-1.4136)--(0.6235,-0.7818);
\draw[gray, thick] (0.7997,-1.4136)--(0.2886,-1.3458);
\draw[red, thick]
(0.2886,-1.3458)--(0.6235,-0.7818);
\draw[gray, thick] (0.2886,-1.3458)
--(-0.2225,-0.9749);
\draw[gray, thick] (0.2886,-1.3458)--(-0.1374,-1.6006);
\draw[red,thick]
(-0.1374,-1.6006)--(-0.2225,-0.9749);
\draw[gray, thick] (-0.1374,-1.6006)--
(-0.6160,-1.4688);
\draw[red, thick]
(-0.6160,-1.4688)--(-0.2225,-0.9749);
\draw[gray, thick] (-0.6160,-1.4688)--(-0.8514,-1.0318)--(-0.2225,-0.9749);
\draw[red, thick] (-0.9010,-0.4339)--(-0.8514,-1.0318);
\draw[red, thick]
(-0.9010,-0.4339)--(-1.2945,-0.8848);
\draw[gray, thick]
(-1.2945,-0.8848)--(-0.8514,-1.0318);
\draw[gray, thick] (-1.2945,-0.8848)--(-1.4945,-0.4629);
\draw[red,thick]
(-1.4945,-0.4629)--(-0.9010,-0.4339);
\draw[gray, thick] (-1.4945,-0.4629)--(-1.3278,-0.0268)--(-0.9010,-0.4339);
\draw[red, thick] (-1.3278,-0.0268)--(-0.9010,0.4339);
\draw[gray, thick] (-1.3278,-0.0268)--(-1.5289,0.4240);
\draw[gray,thick]
(-1.5289,0.4240)--(-0.9010,0.4339);
\draw[gray, thick] (-1.5289,0.4240)--(-1.3421,0.8809)--(-0.9010,0.4339);
\draw[gray, thick] (-1.3421,0.8809)--(-0.8827,1.0616);
\draw[red,thick]
(-0.8827,1.0616)--(-0.9010,0.4339);
\draw[red, thick] (-0.8827,1.0616)--(-0.2225,0.9749);
\draw[gray, thick] (-0.8827,1.0616)--(-0.6161,1.5120)--(-0.2225,0.9749);
\draw[gray, thick] (-0.6161,1.5120)--(-0.1062,1.6305)--(-0.2225,0.9749);
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\end{document} | "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" | https://arxiv.org/abs/2304.00923 | arxiv | 2023-04-04T02:28:13 | |
Sketch of the dynamics of the walkers inside the moving domain -- a vizualization of Step~1-- Step~3 in the algorithm of Section~\ref{interface_discrete}. | \documentclass{article}
\usepackage{amsmath,amssymb,graphicx}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{decorations.markings}
\usepackage{color}
\begin{document}
\begin{tikzpicture}[scale=1, every node/.style={scale=1}]
\draw[step=1cm] (0,0) grid (6,7);
\draw[very thick,->] (-0.5, 0) -- (6.5,0) node[anchor=north west] {$z$};
\draw[very thick,->] (0,-0.5) -- (0.0, 7.5) node[anchor=south east] {$\tau$};
\foreach \x in {1,2,3,4,5,6}
\draw (\x cm,1pt) -- (\x cm,-1pt) node[anchor=north] {$z_\x$};
\foreach \y in {1,2,3,4, 5, 6, 7}
\draw (1pt,\y cm) -- (-1pt,\y cm) node[anchor=east] {$\tau_\y$};
\draw[scale=0.5,domain=2:8.5,smooth,variable=\x,blue,very thick] plot ({\x},{(\x-2)*(\x-2)/3 });
\begin{scope}[very thick,decoration={
markings,
mark=at position 0.5 with {\arrow{latex}}}
]
\foreach \i in {0,...,5, 6}{
% Draw the grid
\draw[postaction={decorate},dashed, red] (1,0) -- (2,1);
\draw[postaction={decorate},dashed, red] (2,2) -- (3,3);
\draw[postaction={decorate},dashed, red] (3,5) -- (4,6);
\draw[postaction={decorate},red] (2, 1) -- (1,2);
\draw[postaction={decorate}, red] (3, 3) -- (2,4);
\draw[postaction={decorate},red] (0,0) -- (1,1);
\draw[postaction={decorate},red] (1,1) -- (2,2);
\draw[postaction={decorate},red] (0,1) -- (1,2);
\draw[postaction={decorate},red] (1,2) -- (2,3);
\draw[postaction={decorate},red] (2,3) -- (3,4);
\draw[postaction={decorate},red] (4, 6) -- (3,7);
\draw[postaction={decorate},red] (0,2) -- (1,3);
\draw[postaction={decorate},red] (1,3) -- (2,4);
\draw[postaction={decorate},red] (2,4) -- (3,5);
\draw[postaction={decorate},red] (0,3) -- (1,4);
\draw[postaction={decorate},red] (1,4) -- (2,5);
\draw[postaction={decorate},red] (2,5) -- (3,6);
\draw[postaction={decorate},red] (3,6) -- (4,7);
\draw[postaction={decorate},red] (0,4) -- (1,5);
\draw[postaction={decorate},red] (1,5) -- (2,6);
\draw[postaction={decorate},red] (2,6) -- (3,7);
\draw[postaction={decorate},red] (0,5) -- (1,6);
\draw[postaction={decorate},red] (1,6) -- (2,7);
\draw[postaction={decorate},red] (0,6) -- (1,7);
%%%%%%%%%%%%%%%%%%%%%%%%
\draw[postaction={decorate},red] (2,2) -- (1,3);
\draw[postaction={decorate},red] (2,3) -- (1,4);
\draw[postaction={decorate},red] (2,4) -- (1,5);
\draw[postaction={decorate},red] (3,4) -- (2,5);
\draw[postaction={decorate},red] (2,5) -- (1,6);
\draw[postaction={decorate},red] (3,5) -- (2,6);
\draw[postaction={decorate},red] (2,6) -- (1,7);
\draw[postaction={decorate},red] (3, 6) -- (2,7);
\draw[white] (1, 0) -- (1,1);
\draw[postaction={decorate},dash dot, red] (1, 0) -- (1,1);
\draw[white] (2, 1) -- (2,2);
\draw[postaction={decorate},dash dot, red] (2, 1) -- (2,2);
\draw[white] (2, 2) -- (2,3);
\draw[postaction={decorate},dash dot, red] (2, 2) -- (2,3);
\draw[white] (3, 3) -- (3,6);
\draw[postaction={decorate},dash dot, red] (3, 3) -- (3,4);
\draw[postaction={decorate},dash dot, red] (3, 4) -- (3,5);
\draw[postaction={decorate},dash dot, red] (3, 5) -- (3,6);
\draw[white] (4, 6) -- (4,7);
\draw[postaction={decorate},dash dot,red](4, 6) -- (4,7);
}
\end{scope}
\foreach \x in {0}
\foreach \y in {0,...,7}
{
\fill (\x,\y) circle(2pt);
}
\foreach \p in {(1, 0), (2,1), (3, 3), (4, 6), (0,0), (0,1),(0,2),(0,3),(0,4), (0,5), (0,6), (0,7), (1, 1), (1,2),(1,3),(1,4), (1,5),(1,6),(1,7),(2,2), (2,3), (2,4), (2, 5), (2, 6), (2,7), (3,4), (3,5), (3,6), (3, 7), (4,7)}
\fill \p circle(2.5pt);
\foreach \p in {(1,0), (2,1), (2,2), (3,3),
(3,4), (3, 5), (4, 6), (4, 7)}
\node[circle,draw=black, fill=white, inner sep=1pt,minimum size=5pt] at \p {};
\end{tikzpicture}
\end{document} | 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7H/QgECBZZ2PQ0Y/O7wMJuSHBdkNZWlLxK2MR8hLhzJP2XQk+SCxIOHdG5q4rCUYISyjOCDCChyOXWY/O8EGAQbLOxqinH73vBxxyb4Ath7K4GL8WQiMnWIS27AOkB4kGCefWxtx1JMHIDk6ZpYi1AZLVp3z0hQ8CDJJ1NkY9/eg9P8A41Xlab2OhX3xOiXOECYtLBbLRbgifTnmCpHNnZ+67k6AYYxebYxKoGGMgReLxkp8ELizs7Qz7+zHAAbE5/SYCG4+FdsnOB8vgeLckG/c0Qg8naFA491bmvrcTNL6WDBeygMaVJXnjj2DQk4SGhL2dYX8/BjAgNKeCio3HQug/GyegSXZZwaDZh0pPJ3BIOveG5r7DEzoxw54B6qVAB0Rr3UVsPeKDxAZlvZFhZz8GMCA0tKmQKIyFZQk2bwnsyPfrCmqr3aHhJwkNS+fe0Nx3eIKmpMXZZAUyJS7ehSMW+CCRQVlnY9jVjwEIr1N7LQQlNLsU2kdYuinAbIR6mqwF7O3iywr7LLpGOp6hIyiNJRnYGpFOWHKIxrAVFBy7BHqeSQNtzG1Hs+wJR0NCHC8Zkv7sIDQOv07jG5oCU9o7M5Zhv1BkoVdLvfAVzSGALqEWws5wFUp+gUlSnDBDEt4zsAyhIEMEFw8cJbXhMSbWomGTpda5HZkRDq/TxdE9LcFBSr8Qwsw0kf50uiSBjqE8xuizF2p2Cb4kR+3pWRROFlJ7+tDpk6Q2bI1St/1AzoV6CMTrdH2agQikBCG8FJvFh+j9VnlT3JjpkF5DMqdayLK6+qForsbEeFKFqVXikYrRJMtEehRiyKNpDXWDzSYjuF5WE2XvJNua00CFKjkkTPa+7yBegPV6Oijgcm4ecVFTlhBqIi3M7fdza2CWLWsL0iSNoapMPp1CZ6Pp5K2zUJvppAgzxSitiVzTpb25s9AlVOk+p91hqpZpplPobAw6uusghO2GsiO5Ye+UyTYj+CCRIOHc2pi7jiQUlG3ZEmbk4xi0PwgoOGW3NkY93XcMwpZD2Z7JsHtKW8cpiDLs3GnMjYm560ZCQYmRDWHy3LoSybVT6GyMerrzEESreCykzIRZgnIQnoL2J4kIS+fe0Nx3KGHhtCnMYXbdu8QngQwLezvD/u49BlHjsdDBrrFEgY6H2Wr9EUN+OqFD0rk3NPcdntCBEwycX7xEB4451sOphk5C+5NEh4S9nWF/956EqPFYSFUTx0G1FU9CVIDnXmfuDc19hyd0qFKyOSqo+1FIVt1Opbcz7O/ewxA1HgvLAucty+jUg04x+QgkP51qL0nn3tDcd3hCBw4y4NQq0SlhgTR53PHwk0SHhL2dYX9vnIhElcJyOhLRiQg/tMqiPlNtJB2qnmSGJFw2WUa1lT606rJG90ap324gpyI9gOB1Gv60tzv5SBmeROic0547ZMUenE7oBNMdaUQdZSFVW7LUnqtk1e5PXzTu7sR2LtsjHF6n4e8O0cJQttdeGgdVZzIkajj5xFroN9qhZ1FZWUj1lwxRicbuRB3nQaGQRo2GOtfO4DTFfPibMbpdGAuxDvPul6o1mxNVnVwTenT1wNZYJKqskFI1ZnNUsqlbUdnF8FDKPqCx3tUzXG15H/60hYyMhViZeUBUv9mcqPPsIOsRDGyNRaLuCinVZzLHRRy7lbWeh0dS9gGN9a42eDUFf/gzBTIyFmKt5gFRRWdzovKzg6xHMLA1FolKzFKu2GSOyzp2K6s/D4+k5AMZ611t8Gq2AD1NUUIzFmL15rJCNZ4KhtwLcJFiPYKBrbFI1GYhpRpOeHGhJy/EfoDxIin7gMZ6Vxu8mk3BmEOElWosPKoW/e20ZfmjosNqWJfIAAlEPWIhGaAPnb6sf71V6rgfyrkADsF4ncY/ZSAjY+FevHAwVN3YlCiCNDBWw8GjHXoWVYmFWLvYEJY37k9UQRoVadGwyVLnXQNRUwfHP2UgK1dSLF50/0EVThgUpZAcFIqIgrDGIlGVhBSrlzCHJU70K2ohj4/02Amy1nvbgNZWwzFrn+1cSLGE0aiozgmDoiCym6xIYLA1FonaJKRYw9gcFTruV1ZEGh/rsRNkrfe2Ra2piWOCOtu5kGIho1FRtRMGRVlkN1mRwGBrLBIViqVUydgclTvuV9ZFGh/rkRNsrfe2Ra2pjANy+gmfCymWMzqrUM3j1yqyOPJphRUJDLbGIlGnhBTrGaNGRU84IqojocZ67ARZ671tUWvq4wU9EfP0lRQzEV5lUrYS9kRao7QrFDE3C2MsEvlFSDERCXOYrkS/Iq3R8EiNXSBjva/Na6M2q13wEcnOhRTzEA6KcpWwJ5IaO8mKBAUbY5HILkKKaYjNUbLifmVSw+GxGrtAxnpfW8yanDb+QQnbuZBiFsJBUaYS9kRKYydZkaBgYywSuYWllITYHKUq7lemNBweq5ELbKz3tcWsyWiDX/uf0LmQYg7C+wXKU2TvlND4hoEVCQo2xiKRWYQUUxBjRolK+CESGmLGauwCGet9bTFr8tmIinp+eXslpstSvnEgQNjqCTpx5yBU6UWtMMky4YcUo8finS4BI32S96f85kSoskNssve9e6fbwFjputPXnXR8fvi3I5r8eTr9Su645kvw8eW3L0hlRm4zft5pzDtslTlcTWD7WRr4htYv4FY+y+5zF4VdCYPxaCgOKzObuTsgendwHZXjz0ejwmbeiorSmg6fu4hsXx7/fTQee+uZjNwdDT0+tMeHi/jsOvGjERJm7o+RHlea48pVjDYd9+EYsZm3YqRMxHcwEbuo4WLYtOqvKB6MG9qZhaF3RE7PG2+dN64jt2mF3yFybIh+0Pc/p5/14d//B4Q2N3kKZW5kc3RyZWFtCmVuZG9iagoKNyAwIG9iago8PC9UeXBlL0ZvbnQvU3VidHlwZS9UeXBlMS9CYXNlRm9udC9WSFlFVEMrQ01NSTEwL0ZvbnREZXNjcmlwdG9yIDE0IDAgUi9GaXJzdENoYXIgMjgvTGFzdENoYXIgMTIyL1dpZHRocyAxMiAwIFIvVG9Vbmljb2RlIDE3IDAgUj4+CmVuZG9iagoKOCAwIG9iago8PC9UeXBlL0ZvbnQvU3VidHlwZS9UeXBlMS9CYXNlRm9udC9NUVlSTEIrQ01SNy9Gb250RGVzY3JpcHRvciAxNiAwIFIvRmlyc3RDaGFyIDQ5L0xhc3RDaGFyIDU1L1dpZHRocyAxMSAwIFIvVG9Vbmljb2RlIDE4IDAgUj4+CmVuZG9iagoKMTAgMCBvYmoKPDwvVHlwZS9QYWdlcy9Db3VudCAxL0tpZHNbNSAwIFJdPj4KZW5kb2JqCgoxMSAwIG9iagpbNTY5LjUgNTY5LjUgNTY5LjUgNTY5LjUgNTY5LjUgNTY5LjUgNTY5LjVdCmVuZG9iagoKMTIgMCBvYmoKWzQzNy4yIDU0MC4zIDU5NS44IDYyNS43IDY1MS40IDYyMi41IDQ2Ni4zIDU5MS40IDgyOC4xIDUxNyAzNjIuOCA2NTQuMiAxMDAwIDEwMDAgMTAwMCAxMDAwIDI3Ny44IDI3Ny44IDUwMCA1MDAgNTAwIDUwMCA1MDAgNTAwIDUwMCA1MDAgNTAwIDUwMCA1MDAgNTAwIDI3Ny44IDI3Ny44IDc3Ny44IDUwMCA3NzcuOCA1MDAgNTMwLjkgNzUwIDc1OC41IDcxNC43IDgyNy45IDczOC4yIDY0My4xIDc4Ni4zIDgzMS4zIDQzOS42IDU1NC41IDg0OS4zIDY4MC42IDk3MC4xIDgwMy41IDc2Mi44IDY0MiA3OTAuNiA3NTkuMyA2MTMuMiA1ODQuNCA2ODIuOCA1ODMuMyA5NDQuNCA4MjguNSA1ODAuNiA2ODIuNiAzODguOSAzODguOSAzODguOSAxMDAwIDEwMDAgNDE2LjcgNTI4LjYgNDI5LjIgNDMyLjggNTIwLjUgNDY1LjYgNDg5LjYgNDc3IDU3Ni4yIDM0NC41IDQxMS44IDUyMC42IDI5OC40IDg3OCA2MDAuMiA0ODQuNyA1MDMuMSA0NDYuNCA0NTEuMiA0NjguOCAzNjEuMSA1NzIuNSA0ODQuNyA3MTUuOSA1NzEuNSA0OTAuMyA0NjUuMV0KZW5kb2JqCgoxMyAwIG9iago8PC9MZW5ndGgxIDE0MTAvTGVuZ3RoMiA2MTcxL0xlbmd0aDMgMC9MZW5ndGggNzEzMy9GaWx0ZXIvRmxhdGVEZWNvZGU+PgpzdHJlYW0KeNqNdwdUk9vSNtKLSBGRKkGBQxGS0KT3XqWj1AABAiEJSaSD9N57B6Wq9A4iRaqAKFWlI0WKgtI7Xyzn3nvu/6/1fStrJXtmnpk9s/fzvOsNJ/t9A355O6QNVAWJwPKDBUASAEVtbXUwCAACCQmAQILknJyGMCwc+refnNMYisbAkAiJ/0AooqEQLM6nBMHigNpIBEDjERwAFgKARSXA9yRAIIAgCCT+NxCJlgAoQdxgdgBtAYAGEgHFkHMqIlGeaJiDIxa3z99LALctDwAsLn7v7q90gLwLFA2zhSAA2hCsI9QFt6MtBA4wQNrCoFjPf5TglnLEYlESQKC7u7sAxAUjgEQ7yPDcBbjDsI4AfSgGinaD2gF+jgzQgbhA/4wmQM4JMHSEYX4HDJD2WHcIGgrAOeAwWygCg0t5hLCDogG43QEG6loAXRQU8Rus9RtwF/DncABgAfC/yv3J/lkIhviVDLG1RbqgIAhPGMIBYA+DQwG6KloCWA/sXQAEYfcTCIFjkLh8iBsEBofY4AC/WocAVOT1ABDchH/mw9iiYSgsRgADg/+cEfizDO6YlRF2ikgXFygCiyH/2Z8SDA21xZ27J/DP5TojkO4I778texjCzv7nGHaPUEAjBMz1EVRd6Q8G5yL/t88BigWIgMTuCYmJAKCuAKiHrSPw5waGnijoryD4pxs3g683CokC2OPGgPrC7KG4H3JvDMQNCsCiH0F9vf8z8E+LHAwG2MFssQAbqAMMQf7v6jg31P63jbt/NMwDYAbC0Q8MAP38/GtlgWOYHRIB9/w3/NcVA43VHigbKvL9GflfQQUFpAfAm19IEMAvKAICgEHCYoB7uIXvP+vch8D+9PEfueoIeyTgZ7Gf/eIO6u+e3f6QgPuPQngA/yymg8RRFwrg/jfTzUEiIFvcF/j/zPdfKf8/mv+s8r8y/b87UnkEh/+Kc/8G/D9xiAsM7vkHgaPuIyxOBtpInBgQ/w01gf7WrjbUDvbI5b+j6lgITg7yCAccpfnBwgIg4d9+GEYF5gG1uw/D2jr+ps1vv9FPwcFhCOh9JAb28xGDywKB/iuGU5mtM+4xgsFx83cIgsFJDvvrIn/aUJyo/tmHMsIWafdTfYIiogAIGg3xJMddPs4SAXiDcTK1g3r8YjcAKIBAYnEpANzMvgB7JJr850ULigGAWMijn85fNlhQEAD0+mX+Yx/bR2g0rpFfBME18bf9S/JQqAfUlvzTJNJWMtipJrj1qEqe2Z1/ZViKaDv9yFSQf7jQkhTbozxqtZhokJM9pflc5VM3WMXSqV1HwfUod+7DrvdyLVudp/ABP5vKmgObTfzk5cGV8STvQ5bbk1RNeE9MUhVuSZSge/Dus0ZRd5DJ2jn0GHBS+fxV0/UxyZ2LrlTlnkZIq05bR1VpthY9i7jx18/62GabfsMVkT2Gv/I+u8QFLUWbR6TpZN7WlGo7Jk90r6Re6Bvon6HpZu2MCtBwC1z5zhGKpVGW7GdREiapNJ55eu0sr8RtM5PW20b1utymXc+LeZ7UoxqdHcflnU0Ldu7kjnuO1sn20eCvXsesNKgZOoV0dH7BaqTddG4YG0Fjn0zSIca4KwOm9nqu/DOrs0ZYiKbn1HjXyMLZI800dbN3vcHcd7UTpS/Klr/61nO+inGzD8Vv+asqlWZZmY8+m2fD1z7oaS8HPGfmgDtk3ETQTCzdsdVQpnhGPLjF35RGSIjSDZZeYXQNWP+lj6TowYG3l/DF0922NgWuKdfKKEQMbbTXQu2MT2bhk5NtMPBNnW1GdbSil7vL4oFPpceihVafC7LIt9yr1UXk28IHmthopASALffZRntkcAyDQEvE7fLppe7w/Vtl+PF2eKU6+S9O9gLo3/YiW/GEyN1KA6JPNr3ON/EzATrkqDovouf3b0gaj7Y7iPY97aHAl/l09/KHTEuarr+GsIs8aOhcX6hhspmXrt+7je8pfcsyrTjNYgjs0co77eRlXTkqR1/+69PcsZSBdHr9QeuJcdGt8gt7zXlRPGPVzOPfrraWSgeQCog/+5K9uSfkwMy0my19jc2szYrt0uYSaXXjuwKLceH8SW/gIEnDjslttm+M+MsNOVmvFyA768iHKhjdBJ7g5ELObTvBnWb3aJ2X5WNqMvtKvvvfSadzEnoepFxr/VZXDXZ6WBHkUHqNuB1s09acrfEc4mPd5hhTYvOYp9P9QdC2rRkXyCn5e40p3j3PIwfy6+mOjAaNIU+5iB770qIu+Ec37CctAZDTSSvyHma4sJfx+u4aQn93oZ3VKgYqV1nLi+/lk5qQYgITaBQf4onty8hSCDWInccIvYuLc86/axltk5j53WuwmRRCMRgibKVAvLRxnYh25rR3+AS8zTcyRTN2heqrSX2N4AAKma10mv0igqDNQ2bA/oNa7YkZm4Wh8kGnU6Z+f6QfkO+UYnmZfgOQmU49Cxdb9jKdSUTV7OVl5aixGx/OBNg1sDf4S9oJPy0wLKL6JCJxd+nEje6OrWYc78ykJJ/XuxskptGVtF6UzoCbhXpj8+49MhDXXhvRFXCM+knzsCY1V4gs9P3EYYJ0+IZ9c4PUdyfNs9gxDucm+MEcp9WeC4cFdYb4En93UP7KTWeI1uBjppnjdMN398He7wOuM9Eh8iNiJ3JVprxtDF8NtdoTh37+ll/uHaE1uskV3tFBPmCaI740ULxwcrhVPy8jG3B9arnOMP9jP3JL3z1zbFGCPOxWFrR5mxy4QxbRssbK0slA73n6remab3B+GHZ1yvRpUMvte/47rtjgBfsT3w7a1ZFknqpQMUID/THTFM+btFLZmDpBpxRdy9bFoBZqzo6rcUY5LSEL3jLjMcD8sspnii7I+RXQMGeZ7xPU9E27L96O9MIykbSRJJbuSsXf5aB6e3bXugk2IDC7ByOWC3Lt9bKkqKswIUmWmgCFnmZ5Vujp6a2+vf2rBCO3yzVt11etyMn3ZM7enBkiR6QLeVmuN70ZPPEs9P90B3WdmCPDaJgFUuxf458joif4UEiCIaeRuV/qgeqIN/jo0tZYnbGKQJTbCq19+ygCG2Ln7x80+1xnM1TQwhYGWTwQ3r2U3mZ9i8546eY5Xeloyduppvmp2sd87+ODCPfr9UzamwVCd3nruyPdRHwFnheJF9+syrstCmmto7kGfbCe6RtPIPpM0FczCLRlZVxFP/wymmR6CFgi2uE3GAHacVZIDO+9gG/JuCfOmW5IfVZ7EFPVS+jhRvvquq//sgo/R9btLBs6du56L2clPX0brGRt37V1p8Km7hxnimUdxgPh8jFi4eOMvfnamUsned4sa4fRML3n1TVk3MVfJAcDqvQojdiCFVE2a2/lJI+6FPHEoetcKmbcUeRPz0KO44+LZYcZYtB4kd/SW1us9ipCSGhG7XVJTebe4y+V5pU+OgbNHibEOAMTK7gqRfavvhktPa6f+EgWUM0/r/XA+OFzm6/CprlmQ6BHQ070MsrjzjX+NeymPR1a8W0NR0/6EozSqg6ylgDaYfATQzWWfsTohWdWN9Sot/fyDBMiTziTHYkMEWIb9rFgA1RaZCyvMns1B8zqVHClMCWrThiB5epDBYDi+JJ9I+pXNt6peCVzFLf5G30EauITwD/Yi3q4LuSzknmS17j7VgeqqQFreTlPpm1SnJMqzx5UeyI93jc4VWyleRTUGLxKJzD3rOdB3JRtyTVeC9RoYLx1TMzH1s/sDAnJN6P3mhmyT6/2p037YK/OO2tmzyiNr01LLzTGw9n641kFdZLr84oGXW6idnP+h+zRjLdyNzW6yNV4WNB6B/H1rHoiBwWPDRlstHyBMsMizrRfGQ6l9dyf6l7coxc5C7/DLJHy4e5TIyt6rfuyCfV9Azd1FCtWDbQPJmDbE5RTMinXaHrfHYavXF35IcT7wemOSVeO0obYWhTHzpjPTi57o0rk/MBQZNMF0/qUVpKk1WNyO71UDXWOhpbUrgf93B8Z6F30XdeuHxZomDEk+tlPUhOI3019IVr7+aYV+KRgzM8dQPFy8xmLwV0iWXCcbBApxe6k/HjPvCecO3BJ60rzO+zLfDaCbaN42q2va2QdjC9c5EZ56U/jDenE46eVm/GLTHQd+KdSJzujqarU1lGrDNcgasS3bpOaexWev6YGjo7dClZ2MibyzgFH7IKHggyrU4y1zkdFPE00fbz8R3eX0r77TDVgSQqdFOzWQ4ylK7w+CU11GE5q+LWumtW01V9MCFmfu+VfoBDoIKOr2sYmz7MOBL5cf8CPXctIX68qrxH0ypn4kRBchBdGLmUgigXXw7tnrV/aZK5G4uW14Klv0o+wWvHkPMzYHbeCUitfM8BSFhnZinx9q7goFxWI7BGh7vPQUnrbLp8e2fD4vEenmPW9PilAK+pbtn2vx6qgEndq4BAiv2ZqMnsaNhPz/N3Is2gMZden1pigzycC6DnSKoJbu8pmz/gJys4bv+5fWwsqDfB6lboSh64gotpYGOUoUnhOoYUPjIz/ItGkQL8PmJz7wOWvypw7Ogx+JAqywFgHkCfupfhktiRxV9ML582XcK9/V6g556dxbn3ZnNub6ly0uHf6UvNWhUvUrNycVaH8X6sfOh62jHXQkt7l0IeSuYwrmRGUx3TEoPwGv1d8j6AgNp1Jkj8Xc5H3+rT/JZvQrk1H8vZyhh8D8UhiaRtqvvUg7UYTo6Jq8TX/JJ33eVWx3fM+kgBNki1R6g75+cPxPmvr5TYnCSAF/k28h7Vx/pcXRsWcvCeizOYfdxsUVheTphKkBjZW7kdzoAicyv07etfdu7AhfLDSOVhFocbz8dzGs3HAK6OinsHvmLUHLTlOIb5Pyc1fY9UUN0i2B45vZQDJlRZXAC8HyLxh0O6lqxkEZVJPKpnbNt6d+7wW8E6zrQqDH4FiC8K5S+inHiuSpvNtvWVpYvn0sOkCxQHg+kENKaGq41B+nqiiFuOCxzN/c65QiKgMO6+/AsuCc4A4PZzZzxUzJPzF179YDfO/9HX20xqR+/Kt7DXloKp0t+ULx48bPM6VWc0wMjGbsYQjOYzlzSMP1UuBhFBSqk0G3cPQzIdRW06VSyp0hjOt7ynvckC2g5j0p6tOMPbJdQWFH81d/G2dwchqvtXHpGFDq/OE/p3KG2E221F3FStcd7u4Qs9Nr2+qF2T1jqcTol+ZTze8Dnxz+flUH4q0dktcbEHb3UTJfn03XlGZbT+hOHyDuPrZZLMJ0QEqdHzXmfhp0HC/fD4bNfcnC+1lxg80VGTUdAcz8ZYB5SMTuinV8Nl37z2lWfZKLb1ElKMDGL04LgIHbb/NgQadDSJRca/kv+M7lqAxFCGvwq2JNN4mXThHtTYPqSo7jnOtyd4ICgEUXF+oYLZOyVmSE49iT0eay2klQQzTLPSxFF+pvNor/2Li7Tw0kgzlVx5hWglJQr40tPk82y6yXNnYfvZKMLlN5sVXTQ9Xoa6ihTdW2BLW8qz1+Pc+IyYfOMNBBUPSq8oJcpUtyQLbgpYL6NoiiTxuVjWZMuja1P2h2dpxycrDj30fngT7uphkr/P/qNdelB/2wlhjbHzjc6M/nXdhmuTorJIwrUD8tNwllfD2YCrdROXXL9LgW1Fzjuaq1jZXDiC3xAozGzm453b6LY2Erle6ZtaN728v7SoS3X5x6dYe1bTvdEGDFyObnncyMyjPOta4KiJQipFos+hjllQTrAh5VSMLb6+rsaWjXb7Au190uMcOJS2Y3uDHgmM/ApmAfQk2UqEpSTPnzqfAFe954vWRZGTWcP714Li3vQRLX4vEVDlpIlDDrW82exu1f0iMpZwgzl9z2Br4bzKLsD9PzG0BpUR+npILYU9t8FtWIhu7IyZ59fGTnbrLXQwha57lRpW0g+L3pwl1AbOyx2ubH7xIJGOsLJJa0X64/35qSZURQOwZRdfumqjis3uqDrHN6cdvmCWojhWkxTn2SX70bTJwZPE2iibsn/Q7oqn22YPI2KBlkmuD1/xHTXoESu38DlUvQMrpi8NkeIVzcuDlhqIYD1hVpPFz16sJQ02VL5LLqSdRXxwKda64e1rMT5pnz2AEXV22LmRzBT4WaTacHEh67+8bNgsHUod25L2OK9F5uj1OvUDc5ry50G234NGp7qgs3RdUEl5kkWiBBhgmdvhStmypB55+yxKcZay4Q1kURphxsdFjRlaVRj6RaPvo3LPZSD/AeYEgHvdGUj8QwfzibUB7aLBPq+n98XzjVz3c615zIxsu3m6vYrt0sLx5Qz8ybanxlDKqh5gSKawksc7jc/xZORvCrJwlJQ1EKqXH2xmMV49mv9UwXSGQ183jrgjFvLGv5uSeOUUNK02r3RbkIkrnR0VSaG77VUXYLO0JsUs/Ut7VW09OI+XeVJKSrHWq6h5oPJn/pL5yLIihY33aMH8qX+cQqpr0VsegL9K2V3D8rOUDmlYgdHbp3oRirKWiQv5i1FoVnfQsOn7EOnWHLhvuWs4taDHbnqEDZc7RXEsG1bJ+lS0ZRYFTD39QWMak71yju0Fjfd/P4JJNWnP2Ulb5eFWTOSuLq5ZvN6IAbc4hSMZh9iEa6DGJEmrD2/z8wOhJmWsQUT0vvnU+GvDsUJ6iPMlIrLevBxnPi8JcZTmmVC46gDuX2Mgh9Ph2hyT1E6IRuYkRgp7vQivpgz81+N56uaa5/lHT2DDozgsxpsXo3BSUskSb+0BO7gi9si0tRVJeV1mXtPr+ekSJRp/19zfJpjz6HttzievxBN0eZCIjAlOOpXdIW5TUGDfyPoH68W3r/Tqb6TWKri6FNm0HFEm4EtL39jt6as7WXahISj24zHsfcubX5bPzonGebJzm+p4hEN1+XsxWuS3fbbPR2ldQd7oML+OEe+2BMiF+mC9JSvcVdYQ1zRtmd1Zlle/80EeMHqbc3lh0vjObt5coZ5B/4qNBwXO5p2ZOyExM53s3edTNSFZJisd/MHXbojDrvHAr5eX3xLLPc+uq7/toOpOI8BozDTnW1LUPFj2j8DLF6IWB2qw+VY3td/KkrUWZeonwiRKwlNeHxZwHbsGerhFL2RynZOc1XyFfymMI57slKU2ZRag6/fixlxj1PQM0iiu0hiPCeX/5rdwSaX1xehRE2z/8depNujsDNVCf0/Q9m8rPtzIormK1wsRGqkFpA+E+78Y22nRv8cy7vl+hVknBkqXq5uEXSHvUFLX0EEVNUX4stlrtkb5Moj7nS6sc1RVfCZX3HWJ4Yk6x6GlJdVfawyq684UR0cu4jvknorqkYU4KU0tisiGywV9WlIhexuAlsJjF7nkqJX9qJ3ExKba6k2gTBblM9XHnoVG3XqAq74JBID6QXswrfgGNHEPUbaF+eTmuVU+5V9/oP48FAomJQ/A7UpHAgzjsCBOFB0XK7j7fED3vvYZttXdWR3pSewxgN4yuf3OQ4ZXaaecJkTQ7U8xJqlpsdZCdswnq3oqrp/6oVN+tRQ8K6T3+bLdwwjPVd3S+VQ+at7xsM8b3Kt/x88Dwf7gYT85zl2llpi6ZOEQ9u3KBHpYGVlO1c4FVDH2VLX60Cj2ZLzHgZOHSbvKMKXigWJhMZnO81FQcw0cm735Ds4D88BWApTwhm6xAWXSZFW6CDpMiFr440h6wYrIwDM/w+yvdrZL1VFbPk9xpIeR9buFi8uNOinQf/ipbLWrC4L06Q0KavC0vv34aGvzsS2atE6bQe+NF5ap8DzsG8xSiq+cj2zekm0h5uYYCDO+9EPN7HBZ/J310obcdnvJajO1GA1tNz6smR43TxuLOfJan3E4xlzYrvPTSPtho5ru2o0kg2h4QvHG7qu4tRsq4xR2vrA88mnz4hI2XLU6FMWgnjb+0a7r2mOaxF1IkqL9o5kWtXRkBtfLjpNMBri66wI/EvSWFR4+1mgVkQXWz/BNLUwbWilfxAu+5Qg0zC+lLpGyKKFAobE3j3GgV1tBE1zqUZfS7sICuB4dHoscXmh+xR6ZNjPllgw5imqp0VlugWvaASeSeV7FJ0PehQZhEH7FJK98OYZpmbWv72aQhofuXZxjXMMOyNsdAUfTUxo5WEpeEyYPI7taMBMCSw/PCei07meiIMHxNkixKuVOhCfMtAx0JsScF9H85EK4Xz5Mayc7xLI/r23COnE4hoxv909dkIkUpl7r7/HjSyXQTyV886zN1F3kLvD246OOcUcoNZeQAMsxpvGhTpWhaSLrVt9+ZywLS3kfecUSNGK5zdu+sXOHXz+eWKeIdPiEbLf3aLygS7ti6tt3ioy4g8qjTWu9+weFkII/1j2dpenp9DevcZySHwkkiDCm1liVBc8GBdNrzlchwVlIRVV5r2bf6KtqllAtd/hcTQw5LsRuoDvupeXwEwQVem0gvmMqurLA54Ztm9yatmRa5Z5MrWZ1CRwNHl9xfjOEDouvsJpsL5MPxJ8o3GnrVm7dFj+6eqht2coTFXAx7Zn0K20q6opaKgjWvXhrbOuZaMMC5puefqHTNSjS/ptYtXOe40x9Jyq4kUYoXRYMXwsmDT0IHYVjK0vZIOu/vu22llXYiy/Lajpb3RCJsErQtaHHPg/trizCKouK+WCsviwChmwhrLmbQRmo/ttZCSy8UtM171KD5LeUDX6OcDFSAfwr5fCxu7UKRsYKRijD1Sa8/fIB6u3fE3I9Rn+8Gh1sXMlWpKGPKIXSe9MIz4Hgjfw3CFn71i5IOAr3Guz10UOGVX+F4FPTpyCyAq7iHK6zjcnX8zFWgImrgiLV99n1R2M3u4aLNPniysYfQvmHO86sHnFo2XkzENgZeY3VSSIn4CYNXCL/gmzB3n/sC2hOnUTcUmSDlWVxvYfUfRmvC3Eh0vL03Oaf4zaKXcvnT+fKaaQWQcizTpY6KUOWoj1z+NyiXN7LFXHrtERBZ7cWod8pyw5b2EkjpNUTcMUac1GIS2CWgbV1vfIzvYdU9ofba6mTE55kjnDCqvlY5KOQTRFeqtzY7reTrSUKnJckInwpHC/QoO24aKfDX+QTNFfPvdKxLrHxnblM9P/o8Euwm1pbtwgwjRGrMrzDm7GHYOJ75B3euY/uSu5k8/ASjuW/eYlxE7/FqU6pdEx7D27rP6kwZdbO3/2FaS/UOeBGsbQHDEEWRTGB6I4VjyaqYIhXLSJC2fC/ZvG4E05z4ugY2UzNG0RGwxphYmlczfqxW/GjGA7DMpL4Y3PJxk78gHwxTgdXLiq7UFnHH0r/tl0gGi7mqKWmuKJ718yaoin0gUo8ZgYyUdq3LQD8GOj1RfC9RaPw29ltu14ZLFVNQfzoFmxG1wTt21h40/Aulq3EVtoyd1lSK/JhZs5zrMd2qtJsOnD3Yg3rMMpwLiI/vr3F/s1IxTvdHy5HJD7kzLhmqlJuUDTX9T5XHjsasSOq36Jnwt2c7KenYwqOZGxLc77jMWUrFbaJ56AlE3kcYPKHW244kaj5k8Ts+5/pyMRUCdko41Q61mvWxmjJVJkctMKDT2Q23TBrYaQ/OtZWNpRoPYt7+D0c2zkEKZW5kc3RyZWFtCmVuZG9iagoKMTQgMCBvYmoKPDwvVHlwZS9Gb250RGVzY3JpcHRvci9Gb250TmFtZS9WSFlFVEMrQ01NSTEwL0ZsYWdzIDQvRm9udEJCb3hbLTMyIC0yNTAgMTA0OCA3NTBdL0FzY2VudCA2OTQvQ2FwSGVpZ2h0IDY4My9EZXNjZW50IC0xOTQvSXRhbGljQW5nbGUgLTE0L1N0ZW1WIDcyL1hIZWlnaHQgNDMxL0NoYXJTZXQoL3RhdS96KS9Gb250RmlsZSAxMyAwIFI+PgplbmRvYmoKCjE1IDAgb2JqCjw8L0xlbmd0aDEgMTQ1OS9MZW5ndGgyIDY5NjMvTGVuZ3RoMyAwL0xlbmd0aCA3OTU1L0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42o12BVQT/Pc3AhIDaWlhEtJso0E6pTulBgwYscEYOUBCKUFAWpCUFkQ6pEFApCQklE5JA6T5T31+z/N/fu97zvuenbN97+fG997v/dx7xnlbz1BAwQFpB1NFItACEEGwFFBJ20AcCAYLC4LBQgBOTiM42g32BwVwmsBQXnAkQup/6ZVQMCgaiylD0VgzbSQCqOHtBoQIAyFiUhBxKTAYKAQGS/7HEImSAipDfeAOQG1BoAYSAfMCcCohPfxRcCdnNPaW/xyB3PY8QIikpDj/b3eggjsMBbeHIoDaULQzzB17oz3UDWiItIfD0P7/CsEt7YxGe0iBQL6+voJQdy9BJMpJlocf6AtHOwMNYF4wlA/MAfirXKAO1B32uzBBACfQyBnu9Qc2RDqifaEoGBALuMHtYQgvrIM3wgGGAmLvBhqqawF1PWCIP8Zafwz4gX89DRAiCPk73F/evwLBEb+dofb2SHcPKMIfjnACOsLdYEBdVS1BtB+aHwhFOPwyhLp5IbH+UB8o3A1qhzX4nTgUqKqgD4Ri6/urOi97FNwD7SXoBXf7VSHoVxjsI6sgHJSQ7u4wBNoL8Cs/ZTgKZo99dX/Q77a6IpC+CMyfsyMc4eD4qwQHbw+QMQLu6Q1TV/7LAgsB/sGcYGigKBgMFpcEA2GeQJifvTPoV3Ajfw/YbyXkF4zNPwjjgfQAOmJLgAXBHWHYHwDGC+oDA6JR3rAgzP9W/FsCQCBAB7g9GmgHc4IjAP9Ex8Iwxz8ytvMouB/wPhhLPAgQ/Ovz98kKyy0HJMLN/x/z380FaeubG2gp8v0u+G+VoiLSD4gREBIHCgiJgoEQiJAQUBx7CPp3FD0o/K8swP/4qiMckUDJP8liX+k/Cfv81X3uvwaDB/jvWDpILGNhQO5/CG4JFgXbY78g/980/+3yf2P3ryj/D4L/dz6q3m5uv7Xcv9T/hxbqDnfz/0uP5as3Gst9bSR2AhD/bWoK+zOu2jAHuLf7f2vV0VDsDCggnNz+fkS4lyrcD+agB0fbO/+hyh/c+NeAucERMD2kF/zXQgEKQMDg/9Jhp8reFbs0vLB8/K2CYYfm31eqIOyRDr+mS0hUDAhFoaD+AGyLsZIoEAPBjqEDzO83g4EgQQQSjXUBYssLAjoiUYBf/RQVBoIc4VjKYtE/gBAWQHqj/gZEJIEg7OL6x0AUCPKC+WAXwt+ICBbBUvVvGQIEoZ1RsP/lA8Yivsjf8r/St/dGobDD+5te2Nr+I//eFDCYH8weMDOFtL/70KX64ZvjKgUmX4G1YZlxzjXTdB4BzAyq1fuUjDCF51VW2ALqSCFloIvi04oK96H8LOsFZrupljCyOUm/5Szw3CbRYGytBTA9Svt25MW2Qk3vLWJmASP59cALz0CTUFe8pmvtGpy5nt4SZHr51Me+PWp+Nb1lc+8jptb011+JaZKcl30QiDOOtQwtnuDMs3s+Sc9GgBa4RcRLdeBHPnF4NE6VM3LFqpHIBwjaiRMuxFgsCj05mQz4/NJIyKuDgYPBgv4W3iHV+7E7GMXNVA26j5iSwvmCCUvvomjhTx04VmrBU8vE4tL+8ESJ13L9eLfXnZZ+7rSTNA4i+NWiKmdTX6xf8Jc/qPTAFV3fOAcf5vQ/oNjDTN0qo6qvZms/fyGudFybcXNZLDpEg/02o4zMIVcy6wHq8awPq+wsq9oPhtTK2xGgG6z6N1TJtGuDex1B7ixMvHnwx9zZbLfhpZ05AM0QUWpZ0t6Cc2KHJH4N6/K6R0wM+PwHI1Zh1vmAgA06OsYPvEzE3+r4olydS8dxXXR9N1s/ee7gEh+43uFPWreRC8l4fzkQZc/CloSQOyoanjSNSuLJTkqdfMxK3cE4fAuviDjOtTt1PSbFdjfOoqIhuRv0I96Q6gZJKu+QXEodwQP7QMLV5DXTXidkW+Je4sUk47vKartOuIQzzOu4rUqfHH76cKBZhEc1L/GE2qfx3dGzED1Sk721EtrphA4PuGtio63L/uTBqm1HZl2nSrkxD5Jo70ud6QGJi6KO4+POuY7GcL0Bo9hpguaiD1Abjv0tioobA97KDjQR08JP9ImO0hQZLAwd/b1FSDezS/y6FoualxbGdE6kL3NiIdNMH5bzzJZcU8TpxtUzm2Q5mc43g8YfAKa55taMMq54SoNvcqhzDl95Lj7VU2evEdCmShrZNPFzHSbr8uvdkZ9/MzGXRW2xoCHmHLJfsTwr46wwW7Uw/J5AiqKdPQFpN+XTPE8DhrVZXrD+IM/bvdaV13sLnDSwef3QXu+VYgCmlzHfEUdm4bjeARLz5bPaMy5MN+Rjh7zDsHKwvxmqLUW5UtcioURlQHAk4ZPMdhI3p3VJK0jIpKORjqexjfH5lw+9favcCwe77vvNDI7NDITXqZgNngiB6W3noxuMtNx/gK4drepTP9F6+o457EaA5rT2LffXrEOFrwuzDs6nifmstxqnfBRq3gCQKoOXan6sZT7MO7tmDep+CrgD301rc14Q9p9OyvrNKnWVtW+LjuGHJ//Yv+2bN269lUR6QjPdUzjtk8yN92NMhF+gIAzW9fXNeEsBkRzIIHplJ03uiXKNJ8yzM7WL8nlcOTNRjUBebgmRn8ruHpDj8FN6HG1CPq8w8s1SZXqY+QQfGMOnI3h6URfSKzsSFcUlkxva0KeuccbcDXC0eh+pxOblgQiryhUKgxBjhE9lVM5nXSq3cUUOJyx03gkBcF4dagbz+oY2y11e+0H7YnOPPbU2NwJfsozx7g9ALb7CdZ5nev5kJOJRQZ+s69y9mVT3sqb7hE5j8pJfVvkFu4t1EUibWGu64bEOB5jE+/+sfMGmUihBrkZxnLfeu9rT0NOmGOXSSrbxJqbbMN02wdKanPHq2RlfoVU2B7TXjEtPySV5Vo1QAcYHkDTnYLA7K6v/ODyakr5PRp7zcZv53rrTR8dz8m4+mTJK//2rUPTa4PssqyThrUuSDOOgUeRZnnws8ff7ZGqfrfwK+kUlq5/VB8E9iqE/CM9yj4PZ3rUDZ6kdeokpbayyx2ApmHyjFJuoOcdhZkab4YPEIrE7HWYCjPuolejXwynHsqvl5Kwid4jUeuVQhZaBYpklZBn9Wjww364i+sRP3emKfKgJxQT7jbnsXOFHnT6AzLTF27UvpcAYbwYtAEt3/qgCC+GcSxDGU9jUWhGnlOv5Z+4LanrzQpx+ZwR4yrTHYDPecEkOx5vqBGe2h/QCdyfNope1qj4lKh6eiKhdmXwnM9PaOJvbl86znYSp83ols+luGRYaltLuTelmreas0886TSB/tr3IzZyW4HXDD7/lVOxm0gzza3y7U+3IUC4q3i9E9Vx4ZUW9Ymtyq2vbiHaF3CZMVnZVBit/SwYkCpOpchS1Izhl4OeuI8LQ7Lqwzk2D40ud2eQmDNY+oSjDa8+ZW1+yVMGJYahBAa42cWsXiDIOPS52h9C7/p+JGReQu+SyJ4BrmOJLqE3aqwbDo47OMsB95YxywdQ99Jg6ZTq9ynjr3rVBkmir0DjH3tMNky+Vk0nl8y7iJlAb6EDH90M2AQz77vgu3Xoxk0Do6U3AkdQGs51u2tz9rzyUe/cq3hBOKJjhzqpstyT3XBX/NHbKkXat8yzG0WLorlEsX596x+vycryZ0plsSj2Wi5Tjepv8rJS7oGAEyDONs8zDDagYAmK6Yem4teatYc+S1kqmmbN28Mw5Oc7Hz8odN1mUdHeDlw21d5za0B5711JiX9Q7eG/tvhQrn5pSiNSPalU+Nh0KwOg444PtSIt0d4Y0BbS84UjgztFIjvscn0xVmUkP9T0C01y90UXhb4FnuLke7hlgtpbCNmMH8Y36j20M/fdNzLL3UwSL0K2vVN+1BaEm6/2bzINzC2rpHWfrWkcnOW/2hx8HsB4+UtNe1A+ekHmiN7ivPOKGs/pDi9LIo8/8rYfGyhEpQ5SN/bz+c6m9BRyXpK2VkgWpyVPgcHl2bjTF5qClqJSkmfEY0CUG1yBzwYndah/X1LMua9+isSRxpSXkWecgYnw8Vwnv+ea+P1t2NNF2tQs7X99yX79lxhQmaSj5gX/KRlmK1Wgrue5xEeOcrwrsqQeRydn3s0Dgq8BzdSsLh5cbWeC6OmTbuoOJBod8ZeD+Y5bWCLpYEt4vJYxtmf6+B7QXFJSkmjnkI7e/5U+SgSs3t4WP8Tx98NMEVSttbpkppOapBh09FjVV9LfGpQiKNZWdGBcK0E3xXMcvLn7gWRVeEMvElg18dIlSHwge+MTKUSzrtU44v3tYQHAdXGUuX3LS3F8ielq6SdGAUW99Mo0rS/3e//pGWDVyVKn28044q4KQTIfiidxewZtONoMoyipAp5PNAH9w/dlPT0GVQCAC+X4kzUjsLlzOLMbuvUj45x9B6J+w7I5LPHrcidmrBq0RSPD2nSQtB4uhoB9CEabfMykFt0WKn4QL7rVYcw7xFo7eqqEdVJ4J3LeQq9l9KP7wiSnk4FoFKe8NZWm9Fcigi9VJ9CJJgEYb9XFK7meCL09lb32lUWbMkdOzudpHjyLzhr5rxqQkaMVw2ZfFHDbcwjmcJ/7EvBCZ+9idnsaQQJamU+B57DR7YOIT0rsPhpfvG0Dw1mbzH6fY/gDUycsj64cRx87MB28EJ3pNpj6r8g36ClN/zklb5TEwI2e/1Vh0ki9Z6BUg8tUsmq2a3W6Z3BdPC5NtjxOhGqJTgYOz5ELElfk2Nlc/ZiIR3XTEfCLE9NFoFhG8J7hbHg582D7IlBJYZtPLQn1Av5DQeOk6wl2heuUOQKxI8GafM5vjCJ+wCTrhBG8JGypOv7w9lPZtyGte4g0x3/DK54gbqSnw9MaZLWXxpgFa5fOWk8rv7GuvDuc6kCpn2nrgcbBHKaLs/WMVy9Cemcozvulb4qnvbEha9H8SBYQb9ETfGKGHKyMVn2bJBObmIjjwhOxumnRntpmy/tivozE48D54Zr3TZFUrLsQeUdEeefAS4CdOs9ZgqELbIlpVkKKbPT26b/xOSg5Z4UlaQ2FqSX757ubXNdYczxjcIjo6vQWcd2jpw5vO11bquvqGlgz4fV6JPyZXscMJ611vthClkWE8lO3OPEkjzDjoncqiOS5gv9nibEhloFCzIyvUM08QTqQ7KedGzuY5z00+pvxFNyLy0Nv1EE/EJoh1ri+bvZQUp9BWpz3qFKxTThhG0WKjtPZyRlF6WabcaVtTlwwCOoW23t69HTmRxG2rMVjxkUFSMLLPoGCwxB9C6EJY9NUNkaZV89P21PFkhDakLIy+Yip4qMy7JUbjtYuv8gg9RPKgX9PaVFzr6hp33Yd213ubEqjeB3Q7SqBY2j4CG6JH5VtjK7epSVsfRkCcup1sgQ0f7L5er/dOJa4/WzZxQBo12ZSrcEQURwDHqLQslLZD7b6QLVIMxyfQ8xSze1/CCjY/LxJu8krnU7gT9AYxEVyxBEU/ln5gUdsAIXv54zjFSrw+bQWx+egiZb2dTIZCLPpo2z6Yhd22Ah+pbduovrj6VE0phsG+d1E9zqCL25HyWi0phFxuOWVLlo/QXJOQScmC5hFnWbIXDY/Hh5Gf834HR1f3dOmUDT46P9Q6w42OjZyjXC4tlQOo8n85kp9rSHjW1+0msMzpR0ZdZ7rovfFWC7fDKC03NUocmjskClgbY+i/jLaTWUYejz2hbSyxj8uKhl4C1lF65p71DbeouxyZbuZMCxvDirL1xVyeEnpT7EXfrruRWIR+sGauxc+u8uXSJ3xw6qJRQi6EXH5Ueovyyl2udL/74bPlrsaL8XbzvTS6DvFJa2NwZN9Xbdu2GTP+mYEjJG5A0TNi0jkdq4iSy09nBGRKhgf5HnZTg+Pt/VeW/SOYqJNeeiF+yEKB0R0Ng30l7zvEFyDlOPYqWNtwUuDgWRCLxtnDreVxAeRz+swA3WFzo1Qlq3X4RB/o9O2XM6Amg3VdUaQ+AbRfiQWeh4kluHtt6UUpFeFD2+LI3bsA+RpTpc+DP12jhczvLVIkJ6hxbGvM9BxOJKXp1slq8oXeYOZTnfsuSMKp+Wk3/+qj6Sw52ezWvKnFddIUb3tmfYr8s0mDJzRFCRtGLyDZdS+An2X3UZvhR5mpuzGxd1VHWdSmir9yXbTdkqruLS1wuLlDaxY5gghUf3NoNVRS4OcJ2qCHEEWeN3vBi3Q47DxSQz54NEgb2x2C2QcSS++pbh+c1HD1fbpmThf/qn+Uv3gwr6CH9l1Yl1ERl0TLgEfKCx+gV0oxCCdUskeGQOECX5JogmtKyc4CRChZdBmNuMPh2lsOoZ73GovbSIpY8uOZZqH0oKmHTt623O1gHXVuu9b0YyjNEEWD9/km8gYxsbfFnHYbvo9StU3+JcgoAjlKK2AqjHl4lbpUWi/T2znleyQ4GuvV22WwJJB6K8of0jFaNf/ZUXqQR8Sn2KGENWG+vVOVIHYmbefg/u5Bm+0MYFF40qfjOPZuOCZ1h4k+mC1jGz7xc8Z+fnuI/p6r01L61zkZ0OCS8g2kHQaH446XNa/Nk5PNGtBj5znLz7T7HHTudyycdUIJ7xLW1LPXKqiJKcrVs/b2gaiuYNa3ae4U4Z3/4Iu2Kd0ZSSObUWi91nmvqHPP6AH5NyBFj2qN7bew5pRKD+CsBzUZS5xkA5ofWmo/V+xPOP00dfJl/qyL7wrgnEWQ8mxmSHSd5D16Kd99aHbHbXDD27jEHk0T0y0A6h1UFPUiYRbmTx1+rWY/vT7BhHzTjaZliLgQVRjDYY4PoOer4luCqtwk7U+C9OMtHu3LKSkc2NXdJPYz44LA3ostF4aMS+prbeRdd4PqqdoqP7GKIgzKvrls8TOxmudlvIRHWNH9SDLfrcYhXu5ytpb7d8q986UGePGeo5557wkMEcfIpJfUsaGUFBFeTpNMRw8Psoacxo9HENWlZSoBs9J21cPlUJLv/gEzkctMfFTV2P84VwEjzyfmQKoiSQmbexEyTWIvka9LXtJ9O3kxSVZ5y3FiyCYpwXy7E2x2r5RTpIpPe+4eHtp3lx44Gtv5eJKIO+jELeR7z+wbaLBiwYW1n32iMALDV4JJtxv5ngLuLnlWCY2IV6eGrLoUrVjSUlDhOTcRG4+5EBfeuzbYUxqfrK4Vpj91HpfnzLP5QGd4uGSOdqVMU5YEXIcuslm5wWurW0wkJfqGJFp7J/vZSlBi4PGahU6Lcd/PJ9u32Rdu6H9oJVeqSs1Wbwc0Ba8jmX6SAAOz8WOWOTQh1Ii+QD/JrOao3UnJF0uE3zBQvYQ6u+t0mnQgR0r3MQJ6fnC83LmjpEeJu0SCgFgAhfFwP70T7heKdMENNYf8TbLHIayMChobNzlFiKXnRoNL3ManqG2EBneTTetcyloctHW721lXcWLWDOfcYaVMXWzdrQskIzL57tfKJJNi7L87DtgFPoqUWyBdS6kHmN/SJ5DvCMe1yjysZdATci4EfTTdDuMx++oz155kDhg4x/s2w9eRdBehmbUg2agV2kkdW8lLU27bLBAHIQ3he43X+S0tc5++0qV39P3cvW/fTdGWsT/33o5+U+vQCHd0Y9hZa9tWyPjm+MNRFiqqrETBUSrWtOzmlNB2kVLPK7IPyuOlTmde4dBeZCovunRfduAgrEkq4aACx+LD1qfcxKHQT+eVUTe4mfZ8haMstzIszbJXFPrbMx+IZNq+t3q1mxqY5BOxEj4rBGnniSfJvniU49Aqhi8ortrsqrQOWsSBTGuIOmSu08Oy1LpfR58yhnuGVaY2hbAu4fiEGTEtdCxk6/SNbAbKW7Zy4r0ljIAp2ezIdlNzmB1K2Ct+a+RyxJAW5iBy9FmqLXTeoogNauIROUVBBq0JkHlCxYAb61sZdDajWbEfn210bQiQjxOpFBy6uqyPbH9yR7iyPWX6KFrscgQSig1+uWL3OP5QpfKR5Pco9k7VVHfzudKN4EAdZY+KNCNmIzELzq9no/eI7SnOe9EuZd8ChHOyZi1vAnmTKWpA4GbmQkmDW/cz3+YLd0+CFu23RGamynYTcTTnz19Z1zwgWRK22+dUZJTnKNN2qN/hkODe9kp6rPfO1L7I/OpASihlTOfON09K/KFPIumHCRx5gBITc5+arrf36gma6AyBYQxqKBI+ufjyUrGBVdllL8zBnYbKUvkbZgGUpKtn1eyrflT37vEpc8b6WASb6sbJmRAJ9wrj6ZCoPhoPzZIcvUaYC7jPRsrWUodyfwnLikrbTh/ETE9cCmuxMorHbzhlPe+rSXuzbYBvq68p8ZrV8vhgbzYlxBHsfJj7GhgiXXklQZP36IZ/+PRbgGTUoOUbvYWTHeWIJuuKPojWPOT9Q8tHHDgUVUptqnb739209a8FxAmyNg8u5x2oz73CqZJodPQhLReYGV7E5ZzNLtQNHVc0MnmKT3evdM6cjq/DQyPIELAwUO3u0abBIBxRMmD+6AKa70X6OacLv47XUN9cq1lRz+Z+2D1TfEWqHn0nx3Wg7UEbczATZcmTnft+7+fw4kH4uP4eK4BEn1w4SaNsZgCD3zuq6b4179FBD+ueNvkMdm/fUWmRFTsK/uvuvEFlHhVdj3QSMS2OP3JVQqLkHXVyF53I8gRv2Tqw9daFU9GXvESRLK9RTjN6oZpFRBliDQW6jWkGKOhs/J7hLl7ZvldlJ1tYa0/ADOPESxvPlxgXesEe8LKOIl9rdo/NFXG72laFnL5ucA/Gq5I6XgkH9153W8A8SV4aEhYTiKR2K5+Qows9mAm3isMlnbzWW/v9TkwU5HvTkLqgoXaGpW4i7PU+nTsJMrmGcXV3k/3bhzmD3OQHp6UegvdX94xfs7sEs5PLgcy5pfCspiYXRDlOP0WzD+51QjnEju3pOwq8BNLHdo7OxqQftrQyXjT6gCMBCzqzUWGg3RH8ro4jpWv0EFeYkV2XtirNc4ebMTXhI8PBCq45lyEVMTW1sboXMm132Zg7W5+pTla2DHcLK8S5t6RVXsMMeH/GcJdXLIJw7lbUpz5/qCUW2nhfWCVxlOYoMJS9YpeQfP1JbVUDwp4iF9TI8I2Ikkv7rixrKWY8Lz6udnPPS6VqacDo0pT2S/TFOh1GPCkmv74ncQDMHudfc/sbSWcfo9O39FVYwcv3TzxMW+SSU14JlbQYFwsLWKtWsjp4XWOdIi9NriY2X7SEBozwPrJLvA65e1pgp2BCfbZ0N9NvM5BXrGj857c7Qajz5Q6MzYOkAcAnL+NyihXRLJucex7khMUkyT85dmhZuIbxo5m8CJIQoqwtfW41z+mrOSLvjHTQg2wyMIHPOh+ULLN/Djw96PyQlfoqSJEvLZa/Ooeb661fcGMT8buxauZC58cvpmd2Ium2CbpuvrrheHy75pDBcLXyYr+BhJleRab0Axtw6/4010Prfn6pl4i53b7F7hzAsxe624YCAo3KfTrzCaP+koM34gV8GTMJlfFvgYuQLBssZrC8VYkP89FxDKdnUIouXWNtP47AEMZ6s6GTrwrVFHJh/PYN+zaKuBUbDneIv1/0PKXqSGiRWTGWreXq6v2odaaxePC64gJkQ3O7FWNr2Orlv3f19lZOO1HdeC2u+vBbMVqvR3flVdn7+h/Ig1W7guHPFrfqyAdQZJ+V0h/vRcDtTNwWtsAlp4pLrXx8qttpnK/D3WITtDcvnNY3cxQzft6htvdG5zcHMPcwVYdmjAnfZ+2UPs2rMCAj0eY4PtlUNdEWfGoyITuMxl96NS9DU6089yDifrfkmSMo/+M4cLQrDZTvO9TOGL9VyBPPM4SjkW4bgxPtM1PW16W19LYjjvDNQk+faWlM/ZGctGnFQDfcSfhUAlfDRqGdNWUjcxbNcN+iv93sJ60ku0QfIJ4fcNIsMFRT8ESKbyvoTuiLvaWxrretC0eskjSRj/qHC9531VXkOowpXVz5ebuaDB2Sd0wlzwxkMOSqCfNcxfb0KERlBtiY+yrcPkhQ/rCqZnPz+laMdeAHXbOS3s6B4ameD9Uv6XqvdI9mx4gLFY6Ohw5tWQ9q8XGuZB/t4LxnxHFW5vKeTy+nKngW6k4pMBCRqvOs5eyHh19o7hz9TQGTYkF8J/UYJjfx6++mfp7XFYa8a1pynfCXaMPVGirm+FCeBftOIrsM4J/mfMd9Z+xeF65LEYO4QEC7j2YJqR01uFAGHCT+lSs79GxMPDTxuenNpBJvvvLLSB98yBgV3djVF7yj+hWWJo8EP2baWXim9feQC0ruJ2SDi3mMwrd3egfmvUGoasttLzkIqMmmW1CpgUU2d/risC8iNSqwQifFr98bZJ35bk+C8lEWO3UisV3FFzlNUXDvbLFqaBu4Z708W70ggNpGpNs6FvUwV4NgU2nTx3hRSeLrGTHp7TJtseerjhQ7+CxorXaPr47MIXlDJRm1g3Gf18Epvo86QyiY3jj3fph+vvreKNQTTwddyCgdNGIRYjXV6OARmv3iVHp9/KCPBc2eZFZ1F8zImJf8Cv7oMKZy/9Dnp4ovmGFkgpBD9ZKo6EHG9anBPf/YJLR71n0fRWK1Eb/8g7QTaX6XyxCtLXua50tQ4uerneqRcx9RLsilwbUZh+3nTkxtX999i5QXE03KShc1PrVUqfkf5J1hjwplbmRzdHJlYW0KZW5kb2JqCgoxNiAwIG9iago8PC9UeXBlL0ZvbnREZXNjcmlwdG9yL0ZvbnROYW1lL01RWVJMQitDTVI3L0ZsYWdzIDQvRm9udEJCb3hbLTI3IC0yNTAgMTEyMiA3NTBdL0FzY2VudCA2OTQvQ2FwSGVpZ2h0IDY4My9EZXNjZW50IC0xOTQvSXRhbGljQW5nbGUgMC9TdGVtViA3OS9YSGVpZ2h0IDQzMS9DaGFyU2V0KC9maXZlL2ZvdXIvb25lL3NldmVuL3NpeC90aHJlZS90d28pL0ZvbnRGaWxlIDE1IDAgUj4+CmVuZG9iagoKMTcgMCBvYmoKPDwvTGVuZ3RoIDY5Ni9GaWx0ZXIvRmxhdGVEZWNvZGU+PgpzdHJlYW0KeNptVE1v4jAQvedXeA+V2gPFHySBCiHZCZE4bFuVarVXSEw3EklQCIf++/UbE6xWPRBNnt/MvPELc/frdTvRVbe3E/XI2Zs9d5e+tJPs9+4U3d3lXXlpbDs8W1vZajw9P7HXviu3dmD32SbftPXw4MibtjxeKjuyfiYZ+1G3gYI+7P7d/p2UTVMLPtlf6uNQtxMO8ns9HB3px3PmQPYVZJT0x/bnumufmHjknDtg3VZZ12CMczS9SmHTUdyhbqv+qoftoS4SklV1OVzf6Fk27j6QvP08D7bZtIcuWi7Z9M0dnof+kzQ+RNOXvrJ93X6w+6/S3NH2cjodLWQwHq1WrLIHV9HN/7xrLJv+OOON8/55skzSu/C6yq6y59OutP2u/bDRkvMVWxbFKrJt9e1Mcp+yP4zc1HH5HA+l45UDDOI1AUY4QKCaiD2QAECK8CkmB7AAoAnIOADUELkHFIDCxVJ4IHWARLpcEGoyAEiXhgCqodBWgcG5AjBDekxd+AzCYrBjdJFJAh0JGKlnJGBodNGLMJzGXEaE4YwCMA/DGaQbE4Zz6hyQh+EMamQ8DJdJAOo2nLv18Xpn8/G6y3+7/uoMVwukcciQkqMrlx6fI/aVFgbxzMdrxN4CDQ0uiWKqc52PcukWhaSaBeEF5hbE54Zi722OWPq+hEvfN8e1SN83Rx3p+xaE+75uYhenPiYOasrYkLXkdZyBr7wZEvqV8THcVpn3leLc4wXitceJT3Uk1Z9xf1foG1MvJTF7XPgYeEIcIYCn1EsoaEipl1TQluaeg7tKqQ7Pgc+vdgLX3OvBPWsR/NIy+KVV8EvPgl86Dn7pJPil0+CX1sEvnQe/jAx+mUXwKxM3v+jLoi8J/2zsodvSKC997/YJLStaE1gQdWtv++zUnZBFP1qE4+bF20sR/Qdx7YPECmVuZHN0cmVhbQplbmRvYmoKCjE4IDAgb2JqCjw8L0xlbmd0aCA3NDAvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjabVVNb+IwFLznV3gPldoDxXZIDFWEZOdD4rDbqlSrvUJiupEgiUI49N+v33sJLtseQOPn8fOMPZi7Hy/bma7avZ2Fj5y92nN76Us7S3/uuuDuLmvLy8k2wy9rK1tNs+cn9tK35dYO7D7dZJumHh4cedOUx0tlJ9b3JGPf68ZTYB92/2b/zMpTr2b7S30c6mbGgfpWD0dH+WaWuRL7XGK44Lftz3XbPDHxyDl3hbyp0vYEBs7BfBTB5pOsQ91U/aiE7UFXICSr6nIYR/hdntxJwOLtx3mwp01zaIMkYfNXN3ke+g/U9xDMn/vK9nXzzu4/C3MT20vXHS2IYDxYr1llD66f8/1rd7Js/o27K+Pto7NM4liQprKt7LnblbbfNe82SDhfs6Qo1oFtqv/mFK3YHyaqclS+hK9QR+sgkaHDMoYCd9gVYDI0VFi6Qlg4HFHB4SCJhcNKY8HhIFEwqVJoxAX00NBDr667OF2TArWcFJV/d/2onYcrWMahsZQ8BiypDgp4SNgAXhDOAUe0AwccE8Y+4864FnRKIbEnmYhj+MA49eMVjDM/TmGcf+JPnOK2BjyBHkQIZyHAgztJBVgSF/QJ9MDNAjB6kCly0IPMQKuga9BwyEJRXQNe0lrkoDeeIYfuIAcvAr2JCPwL8lUgnzylyMmJIwGTD9xXCrpt0C8lXWMGWBEG3yH11MAJqWcInJDOyICeaIwAnElEnAg4UU5+QUNUkC/oGXPigwaVUR34ivgZ9FGkE+9Sc9IJ56mFz42WPjc69LnRC58bHfnc6NjnRiufG619bjRlRYMePXpHfubzpPPbPOniNk+G3+bJiK95MvJrnkzo82QWPk8m8nkysc+TUT5PZunzZFY+T0b7PBnj82RSnyeT+TyZ3OfJFD5PKfd5SoXPUyp9ntLF9c7wl4+/dHib4BW9Pnrlpe/de4hPLT508MTVjb2+xl3bwSr84DM+/WPA6LkI/gGkQ6d+CmVuZHN0cmVhbQplbmRvYmoKCjE5IDAgb2JqCjw8L1R5cGUvQ2F0YWxvZy9QYWdlcyAxMCAwIFI+PgplbmRvYmoKCjIwIDAgb2JqCjw8L1Byb2R1Y2VyKHBkZlRlWC0xLjQwLjI1IFwoQ3JvcHBlZCBieSBwZGZDcm9wTWFyZ2lucz49Mi4wLlwpKS9DcmVhdG9yKFRlWCkvQ3JlYXRpb25EYXRlKEQ6MjAyMzEyMDkxNjQ5NDYrMDEnMDAnKS9Nb2REYXRlKEQ6MjAyMzEyMDkxNjQ5NDYrMDEnMDAnKS9QVEVYLkZ1bGxiYW5uZXIoVGhpcyBpcyBwZGZUZVgsIFZlcnNpb24gMy4xNDE1OTI2NTMtMi42LTEuNDAuMjUgXChUZVggTGl2ZSAyMDIzXCkga3BhdGhzZWEgdmVyc2lvbiA2LjMuNSkvcGRmQ3JvcE1hcmdpbnNSZXN0b3JlRGF0YShbWzAuMCwgMC4wLCA2MTIuMCwgNzkyLjBdXSk+PgplbmRvYmoKCnhyZWYKMCAyMwowMDAwMDAwMDA5IDAwMjU2IGYgCjAwMDAwMDAwMTYgMDAwMDAgbiAKMDAwMDAwMDAzNyAwMDAwMCBuIAowMDAwMDAwMDU4IDAwMDAwIG4gCjAwMDAwMDAxMDcgMDAwMDAgbiAKMDAwMDAwMDIyMyAwMDAwMCBuIAowMDAwMDAwMzU5IDAwMDAwIG4gCjAwMDAwMDU5MDcgMDAwMDAgbiAKMDAwMDAwNjA1NCAwMDAwMCBuIAowMDAwMDAwMDIxIDAwMDAxIGYgCjAwMDAwMDYxOTggMDAwMDAgbiAKMDAwMDAwNjI1MSAwMDAwMCBuIAowMDAwMDA2MzEyIDAwMDAwIG4gCjAwMDAwMDY4NTcgMDAwMDAgbiAKMDAwMDAxNDA5NyAwMDAwMCBuIAowMDAwMDE0MzA1IDAwMDAwIG4gCjAwMDAwMjIzNjcgMDAwMDAgbiAKMDAwMDAyMjU5OSAwMDAwMCBuIAowMDAwMDIzMzY1IDAwMDAwIG4gCjAwMDAwMjQxNzUgMDAwMDAgbiAKMDAwMDAyNDIyMyAwMDAwMCBuIAowMDAwMDAwMDIyIDAwMDAxIGYgCjAwMDAwMjQ1NTAgMDAwMDEgZiAKCnRyYWlsZXIKPDwvU2l6ZSAyMy9JbmZvIDIwIDAgUi9Sb290IDE5IDAgUi9JRFs8MTgxMkRCOUM0QTc0NUJFNDZCRUIxQUQ4QkZBQkM1Mjg+PEU5ODQ2ODUyNzcyNTIyN0JGRDlFQTVGOTY5QUE1Qzk0Pl0+PgpzdGFydHhyZWYKMjQ1NTAKJSVFT0YK" | https://arxiv.org/abs/2305.08520 | arxiv | 2023-05-16T02:24:26 | |
Extended realization of a non sequential network to enforce the periodic boundary condition in the space variable $x_2$ according to \eqref{eq::per_base}. The periodic base layer is dependent on three parameters $\mathbf{B}, \mathbf{A}$ and $\phi$, which have an explicit dependency on the time $t$. These parameters and the input variable for which the output shall be periodic, $x_2$, serve then as input to the periodic base layer. The other input variables $x_1$ and $t$ are bypassed around the additional elements through a dense layer. | \documentclass[lettersize,journal]{IEEEtran}
\usepackage{amsmath,amssymb,amsfonts,amsthm,mathtools,wasysym}
\usepackage[table]{xcolor}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{fit}
\usetikzlibrary{calc,positioning,shapes}
\usetikzlibrary{arrows.meta,positioning}
\usetikzlibrary{patterns,decorations.pathmorphing,decorations.markings}
\usetikzlibrary{svg.path}
\usetikzlibrary{backgrounds}
\pgfplotsset{compat=newest}
\begin{document}
\begin{tikzpicture}[node distance=10mm and 4mm,>=latex,block/.style={draw, fill=white, rectangle, minimum height=3em, minimum width=6em}]
% input
\node[block] (Input) {Input};
\draw[<-] (Input.40) -- ++ (0,1) node[left] {$t$};
\draw[<-, dashed] (Input.90) -- ++ (0,1) node[left] {$x_1$};
\draw[<-, dotted] (Input.140) -- ++ (0,1) node[left] {$x_2$};
% periodic block
\node[block, below =of Input] (A){$\mathbf{A}$};
\node[block, left =of A] (B){$\mathbf{B}$};
\node[block, right =of A] (phi){$\boldsymbol{\phi}$};
\node[block, below =of B] (per){Periodic base layer};
\node[draw, black!50 , dashed,fit=(A) (B) (phi) (per)] (a12) {};
\node[right =of per, black!50, xshift=0.5cm, align=left] (per_all) {Enforces periodic\\ boundary condition};
\draw[->] (Input) -- ++ (0,-1) -| node[pos=0.25] {} (phi);
\draw[->] (Input) -- ++ (0,-1) -| node[pos=0.25] {} (A);
\draw[->] (Input) -- ++ (0,-1) -| node[pos=0.25, below] {$t$} (B);
\draw[->, dotted] (Input) -- ++ (-1,0) -| node[above] {$x_2$} (per.155);
\draw[->, dash dot dot] (A) -- ++ (0,-1) -| node[pos=0.25] {} (per.50);
\draw[->, dash dot dot] (B) -- ++ (0,-1) -| node[pos=0.25] {} (per.50);
\draw[->, dash dot dot] (phi) -- ++ (0,-1) -| node[pos=0.25] {} (per.50);
\node[block, below right =of phi, xshift=1cm] (lin){Dense layer};
\draw[->] (Input) -- ++ (1,0) -| node[pos=0.25, above] {$t$} (lin);
\draw[->, dashed] (Input.345) -- ++ (1,0) -| node[pos=0.25, below] {$x_1$} (lin.120);
% common hidden layers
\node[block, below right =of per] (concat){Hidden layers};
% rest of network
\draw[->, dash dot dot] (concat) -- ++ (0,-1) node[left] {...};
\draw[->, dash dot dot] (per) -- ++ (0,-1) -| node[pos=0.25] {} (concat);
\draw[->, dash dot dot] (lin) -- ++ (0,-1) -| node[pos=0.25] {} (concat);
\end{tikzpicture}
\end{document} | 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s1mwAr6ioMOfvdEDWGYqEWUPggCYEbQ91vu5oDXEC9BDWMCja6x8lWCXs0WgXMW5uDw8PMMQZBUYg7aTYOAEPGNoe0IWioEh3qA3wa2VAC+IM/bMaGJcZ0LeHof4K6CFs0R4QJBS4djjBrKFw1HWKG9wGigSuuwN6qhrAQxco/C+wxl8ATuDP4QC8YN5/lfuT/asQDP47GWJtjXB2gcC9YHA7wBbmBAUeKmmA0Z5oTgACt/kFhDihENf5EHcIzAlidQ34PToEUJLVASDXG/7ZD2WNhLmgUWAUzOnXjty/ylwfsyLcRh7h7AyFo1G4v+ZTgCGh1tfn7sX953Id4QgPuM/fli0MbmP7aw0bNxduAzjM1Q2qqvAHc+3C/bfPDooGBHl4eISFRACoKwD1tLbn/tVA38sF+jvI+8t9vYOfjwvCBbC9XgPqB7OFXv/h+qAg7lAAjXSD+vn8Z+CfFi4vL2ADs0YDVlA7GBz339Wv3VDbv+zr+0fCPAFTnmv68QI8v37/ejO/ZpgNAu7k9W/47yvmNtY31NNT4viz8r+CcnIIT8CHS1AI4OIT5AF4eYUEAOHrF79/1tGGwP7M8R+5qnBbBCD617jX5/T3yO5/OMD6RyBswD9raSGumQsFWP9NdDMeQR7r6wfv/5nuv1P+fyz/VeV/Jfp/T6Tk5uT0O876F+D/iUOcYU5efxDXzHVDX6tAE3GtBfh/Q42gf0lXDuFk898xVTTkWguycDunfx0jDKUE84TaaMPQ1vZ/0eUvv8EvoTnB4FBtBAr269MCcPHy8PxX7Fpd1o7Xnw/UNSd/h6DX4vlnS0W4NcLml8r4rm8YgkRCvHCvL/naEgR8eK/laAP1/M1igBsMR6CvU4Dr5fwAWwQS99eNCgkC3LK/XH9ZQgC33G/rH02s3ZDIa6n9psH1BH/bv3UNhXpCrXGnJhDW4sEOVcHNx5WyNB5cq4OSY8yrRqlsXD5TyHdup4S3k9kqMp7OIw9lk3s7iGeXFVkPZKYZLny+NdTcDm1M1Gk68z1/HK87stqE+3n4TvdQ/jfZ6i46HFoufZk13wtXX8MnjtgNmK1qzDmubiKE2nlkxx6dyp7VXaUz/c8mVnXWKoTU8c5LR7miDaLMnhR9Ys61yhynYryF5qIDsZPuehJ9OjgcI80eumJQi+fA9duK5i/wMVngizkZ954r1+dDtVHfpzahosM+IO0fYfGRW3+uRjnpU1wYNS85mSUcHtszHdyZMK5uSM3or02FDC7hkkwP1Gglu9+W7WGdjnQytB7SAlgeMFSDfEKYi5VtE18z9RY/zqSFBZxcMNHpJRhj2nC8a6dv29o2aGX3TYilEuON/jroTH8oSbbUkukvdH5yi7sMMqKscTPZFuML07TWwzujA3q5foq6vajomnwf066rXHDhEZcDtkOobyHa2eyLWCeepwil9uCZlXbNeuLO94uC1jj7XtPaSvIDiqBh4sctomHLw2i+S/7EOuEfwZyqfJRyhN/LMkV61FLnecbJnVG0BlhGwzqnNsZb92hHuqQJxy4yW76XSs/obJNuCXyH6kaqROOZj0WA01wCHg8P0EpnPFkR2c4SQ2yIvTW465avkGhi6pxmwd0DqR2bXQuYEEgB1TrtC/QkjN9ZRWtI+LMwGL0IKffQgIjakWqD2l3tF3UCXwzm3GlzcH89whayY45646rLeDFc8SGE6TwOut1G9zb55OKmiXqAtspuPFIpXeJIUS2v6uyFOM3CCFjL/1tJoOFYpStIQ43j8QjIYaxmCRd9+chdfSqP4R3UzA2UprGr4xojYZigKjsRcnfzRBTSfPvxlwcsm0oKb0WVmQybCk5k3B0jetH1YEVaX++yVpM8WLp4ltYb/IfqDNwip9SMu6AR4hIV2WnhlglpKcayrJeZlOit570e4uwjq2FOgniteEpKBHJGK6e8IXr09y67sPL52Gu3aG59GrCkiRIRM45rfPLTyaDs7u36YNW8fWlTjzKsu0v91jgsJl8ti6hHSrJbvlTio2xUoEqFKQ/u1LOj1tYJRoef6NuIfpKDLORHEj8NmTaN6YfE339uV8XbdG5LdNtsPfk2zwaO8Hd6iO6QBQnri3MNSgcSpo/3nD2+8DUxNcE/Ihfv+0ZejeiTfte4nZRoPuxTZlxkeXUq0AVWTvYgqytfmfHVPuaT27SbrfHYs3JsU6rMwsN7olVeZOsgHmMjzRTnxMghtFVG12GHtRbrc3JAwn7yZft7CvUIHhmnns4KIV9hU95ZOcuDYvgrajPLKnOdyOAgsXXCpbmGDiEnajiPlegzZ/Pm3R+c37iniwvMHt0XumvK8cRAMYKpuz5KM/fhFivBUBVY4XxRo2KplMrsgH1R5tib/0FRIctwslBh8C5fyuytiFbmmxysyfsvHAMtq6gU5i+5q3qwkh1ZSXsTYmIdU4ldKgjRlocWG3LvT0OplsbfmKk88d98RPb4sORjQs0lBeiMzJq5jciflfzeNK6a+ySKkMgv9YOo64TH2vCCz3KO0DPS14OowUQSzeA0nGMWHa73Lk+/PghniUjTZKkSriFpIHmONpk/u2GGpAvwFUzWLKoXZKx+yt5SQdRKtzW9KVEZNZisEBNVzdmksWfrwJEUv9XX8q71I+bht+zeTEZPno4jeybssnk3U5lpv8X1KcaJINxeG9V4RXYcTsChdc18rcsd3I72bABRlODsJDgqtj9yyqso9LMJBXNB1fC+Vn84kI9Lvh1QKMlQor58p1aBwAFeocroRW4cSoM/q1Dne8zSnBv2/sBRah2W2dwxtUWMQU7mWRn1zarBrUOapvDZyJuEHoAzbcewAZXp3ZZ8viprTRDQRKBMP4af1y1h7VTSvTNUR++tJ6/y1gb7jUZ0sdCNzOf96K42BjOsWfNh45weJ7tP2H3vHBPMH7FN3EBOHdwUebDTKDW/IKySndNkidkZc7s54EFnHRsJErdxqW40pjpbuXeiAqsgD9vEP13+awpupAH4BoFipHzTIn/2Tb8Jeyj8eWfRkiJZfPm9kyfy56ae/QOer+Ed8q5MtUz6sEYw8T7s2GiS+wdslT1IWt1yujcrt5N46oLmym/DTnywNb6KqDxRJv9dlNSESkVgefu3s5OdkhlnuGg/b9opV+jRas4ZRYkpcQIWZvn3LoL3+F/RDsJ4IP4uzTmvJe/C4DXORWmT3bcya6e65NpyMKm9leFvBTtbM+5hhkrjZrL2jm8QqXWvby4QZ4jcYLiFlXZjZ4f9Vms3XbiW6l0d9yJRASzvpqtwgckj5ydEAFyEjU4hc3PeyvzDVNbtK4mdAQNWu9WDzydfWPMtH/KlRDZc5FPNeFvx3+RZxvt4wEWlb1jp01yBc/xYZScu0iLUtAVK5iT3YWmJICWG7lwgSutHCLDSdhp2p0FKqlUSml3Er5M4zPXiAY/XyPz3EqrsGKYDNZARwAOanwujETY7CyFF7wq+nqXmj06SZIh5P9hM/bnxBmUxUceEr6nui8U3UoJPVKPJgkszkW8P8D2J7V/be91bdjT8qNfzWjhUFe9Y374Hop94QD6H+Nb75Cg4hvU1vpENykD1WHLH/HQsjVjTd+zmi3gbtWOzR6W6hGXKXoFEbwVsWInntWKXaet9GO84nZhFAOaOPa9FDHHTjjF3dmV3JCWHjpEHgOGKRcAh+6qz5wEr9Kic9qekWXdf5b2Ty5z3cnVZViKBww0jxgQTaZolle9qol6Rfi5aIoXhusQspEayfUDulODn+K/M8e69wOuYjH1xW0I8wIazwmJMqGDVNpNTu81lsNh397Vjs65Io3DtPr0UDC/sVljdGyhg0RpcnZGpNZpHK9NUaU+6nmlZYSqnFNryhVOD+ZOzAW1G8zpZjRw0sJn9fiUDHOG5yK8OEB907BnebzHNM22PughJtTUQpxa4jIyuyqLWueXQsJdwGlwdH3HLrimUwS5lHvFlluAeM53BXfK2ZvvwgpKmWdZPmQDfwXrDZHZ165ugvCJOYLFmIe3dQyrT4bCEwcdm0jFG6I8SPSHc4g3R+LWMa7q0r5znOl5np7O9PiwhT1eMMUP2GPHit4+NJCCSCobJMLyWJ8Kn2OT6I3bNWmSm7Z5sRA2pSTsDiq6uU0nB+yICFhMjfUtErSMK2XW0kHNRYfzl/Pq2YZ9XvUXppGUm92oeW3Ihp52mYtl3mlwxn6ZTZa3QTjV+jshF49/QkMe0G8UVg1up4YSdajR2usbeTfqA/OogaNEpil2qpWtYrUb09ZUwlGLhZxy8inlrcaiS7FF3slsPeiLgOf3MjTBKge76yGUJV0YjtJyZeK5s8fFN8/OXL2/SVx3Q2FL1enh5+aqQ5/psPjPwvyPh1NoPudT8QXczFR+jJZBkGzUz2fB5gejxSHPn2eC4lNJgZGdKhHuCTmivA1H2JcldrITT15lCFMxZ1oHYTPkf/Gvj8FIiPj5cu0mADcUaDY8PfQCZ0uN98XMIGgqsdSjhuRGgLGCMVBubIV41HnGcSbVB/jjyuwUJ/ku63QmWzZw0Fw6MQRxTPeXqjtEEOoKU4Rl9qkGlDh/PFZ/9sNJn2yaqIMphjH5WLVXrsTHnfla96HufEiywmcguM4aSnsGFHYcNuWDUWHUtmSFxokUJZcveL5hInLhzlPbdqtCQX2lKHuQoppsRwYolf0574hUJ9pQfnerOZnnaalCc7Ddlprp6NwzJkNl32kepZkeDn9m2KLY2oyBNdbekD0i4zZr+8y5JO/j5Fp1gtLEuviX3zOm7Yp/bopavRRYoiGIjlzqnlUgVWDSe9vs+Hr8E95bnJLhDNhf0VlPEhQ2Y+x3FsZc18OXkLLfRjvl+OIodq0S1gWZhKroE3QOMSmmb342JK0N9Z72Gdtz8V3VI7MscW90FDG+P5edgUmyQqhs1DmaK/ChOCujgJ4vBPCMZf3Ru8Tme67vWFKtfKp0f3ngieC/eCFZGAckfDaaRxPQIKpKmLbvr359hgi1QDmxv1+5oEQ9IeYp/IezFLfIPy7DmzlFZHyrjoI/pZ5Zz3qjjEh7Gv5Ol94Jv5+IZ+48uxaQPCFd68daw8aYh7jWSmEahTdNifA3iiW1iRH07zVt9/J+zoJJcpfCkKinJZuIfn0V26yLux2Vl26xGsjDxMIwgjpPQbqY1YzoD/WeKBh/u0VJ1fTRj+BKHIvNQvNo7Lq+Y2hJqLDOajMZ7RqYjgkPwvVoCn9nTieUJTRHuxP4r4m1/OfslyQWlmrx5Rj6zBnPOlYCxNzJIKGsxoZPSV/auiEfC51PR058t8/HeuOhJM9fDfD9GnqB9MUxBR3esJE5ohDUlTzJGhSlRvcPw2rtPh4nrRko9+AS+EE+GtNlwW20r+JuyVZzcthMoyuVfv5hTZsHgdtEK6mAmSqabEn/VjE5cI8BMEcOMonJZ38TfJD/p8PPQfEFBwo3hg1MwVB74kgdsVZKy7HDPZDlGRiIyf43g6eGlt9eE0ye2qwvGKmBm90A9l2xoOahtzsAZMZq2DZriy8ewxkrxYwvMXP7qnbggRi1B8uZo52AmWOmEAScH0bHbFURckrWyrqxB5NWnPy38U0JxZmfpss013MhfvibvxPkR9Z7kV+gy2Ib5FH+NR+qqUHyerDX27dv7Kz8sBrFypDgfZYDplM5mk/IxX2QzYyYpv6dsJHdo4WTB2L5jwDKoV17KQ7SZRhNVlqr3asCuxWy5vuMsIu3b3MgNDnsRcCj5vd6iGun4KwG/mxxd/b37uak7NvL9E7nih9/olTtbKl8G5nd3mTDJ1iRQ5ZZU74wSQ10VG6SIsFp1NUpxnl4Gqn+Wue87pWD0Ki1ybJ9bW6v6lsVwMj87j/rBypONzovZ7rdsfmPYr9U2NO0YR+8Lnor8eNxiVyaP4pOvFeZUz8wmGs+SBg02DQ6x5awlhwl8wT8lnOVlwuxANJY9b3hLSaHKYGydqX302T/8LS/wcgME+fl0xaKgS+CColeIbiyJzYHuYeE0hALohBBYILwuoi1yykZZRMnmU8IPQF8/lDHntUpIeCwVSzpKJw1iz1w6yJRr+9I6Ht4JEHipdLn1DOXHbnzx/rN6oUNR2p61i3mAf5qIRJvMclx7Kn/dS4eGVb7M0KfMyZiiwlqDu/e9/eMsOtojsKScNd5raC2LHnmFf6tup362BcIAIJNst4YYDM7ZFMDSAxMYE6LNmRW2ArqHfKU7MSPGDQ39BCAPJnqix7reNCCTfjc218UFH+CU7JDwAMRvv6y3NZ/+VZtigUShryvB8xabCGhsqxOUyDyR0rEap2Mu8QnR2W87HOk/YZsu6Zrx7i25WmdZucI9k5mWcXUFmt5R6/ajTdZViTxjqg9xVODMdYZhlY0GAn6VO2EfMEJK1GIPOrC1hY8Tkpk+0sfqctRbGyyW0enrL2KyZrEx1J0rqlvYzDDXtDH+vNSLBKt3lWaz+Aq7hnqMK19Qf04/zbq/YBg+opXb8vnSyXlUyJXPTPVZwEJKVOMsxkDrVj5jmAyEn60TNwcPU0t4XU24muHGp0Ve4ZLVCfUab3ZFcar5k74BKhJLBDOKnqxXV5qF+Q6lVztlWKmxUYqm4VSln3zJwAnDwMdMu9b1ElsWzh6zzxM7ewsSZtydW4EzNcZ5FK+khRIQQ9vvF5UfX34JzDmfcN5NpDt807Sl5XSPdWwq8/mO7tknhfHmLHOuUMyjFe09W7YHW+7nAhFDZe2KaoYBg6airc4F4lhhW8g4QiTWvWjo1sCWeI2nxeh20KxWUGp/2kZ5vIOwUeEmU3r1aMKtsdtJk33VvR8a5QyVWQMWYCuUpiuqRUayEjL168vpkpVCh9IVZBt2GCRR9wn0+5RLvpHmPuHRQmkIHkxhDG7EazDsuUVwxWAKTdg9dj/FwtVYQxQoVtR35/mrstWo3+M3/jHo8Y4UD0ND52iV1OeoPRU9CE0C0xxad5txgYpks2VT2x9g8GsS9ZL5zlUtz0HzS1z236AoyCxE1HlTz7zY7biTdjqLp4XLN/UAfAkYualDT5J154WRu3oBDnXPzCtPY+NuJixVRIhwJF5M2+EsyfgiXrGa9ZJYL4cefWtQ0y1WIGXdBVI0f4NxqwdlzpJSMbNknuG4971Dr0Zjx2vry+NLh+OPqbqTdRI7y8DP/oZxEJL7bVk7Zbrd7fZZL7rlL+ovOSniOhDkgnoqBEzq2USUpiz4k+VUa/vWXfg51Dd/ikuk2zQwEN94XzW/1C079WCDg1ZExstLR++bWx/JTtKQsfdllvPGFL/n5H44TP1e9CuUW+Rwgk1k9ZQkkkr+jbH0nlNzUHK/YYCRjdfcjKAaUVz1yLrj7DeebyPHeHqNTfZ6c+oNK9Fs9RQ3A+kDJ09L74Yn1zrVWy2idmkqL30wv4mp+tRYsgB6Lpfjn/CrMPNS418/+mJXhC0lWnI0PAAQzyIHbO8Fib2cpPBYgBMyTIsTNSQDGzKyp+o4L6TtYjpuaMW7PttMuSGAUSVCzNYZq18wgNNljdFGOlecqqvXMKTeNyD2zVHg5R75rB7oud+UOL/E85nNvlqJzRRAz8ACazAyFuGyT1xzZcsoKCMbiZO39sPKlXwT05z2sMVogt3wYSy95iv09ASn3q7dY9Bj89ocnpCI15tcyn3G48fe1escyr4JoFzbxwlIc0Xl+Jl5iOtMRoxdXJEzzrh5rSb85VUKyJ21UqGKu2Z/WsOqjCRgI3LSZmlnSveV+IxyurQ0RO29oT7R4qWXxfrMq6u3di+d/RdeWFaZ8EWtLw6H+UbeHPZZkVWzTtHRPc7Hd4XbsH4hmsnwSvv59hChMGCpX6omH3tjdk8l1FsXMrv/YYxO+7zq4uVkEvHkZnifZ3eGvEzTZVSipsughGlsNM+QdPEF9IM4lon+5n4sR0iJrmme47Fd11BR9BU5RdAIZRLkZkgrY6krocUbq4ndypb5qR4c9uXzAOrLLeTR1tQP39diYm+JDW9qxck9bDfwJuydVbHahShXKKgQVny/L3RfAK3RXEtcoWaFWYvbrLqtpUolP5HhWgsBq6eRcHa/wpcKlE/wwnVKBgk/yHK2TcRjqUH08XYtloiFrMEuR0NKSFbd6KoInNvnoFpDgZjZaVgyvOKAnNzZFsW2nwlr7idKGm0y/jZMKdvwFZBl6b6zx5kX9ufyqoVW80Q/DR6QK2JRbfL7ByBtf2pngVpgZc5QXk7uSYnG1zPPAV7U45JyalYzvr5lk5UWE/DYLK6y9NHcEs2TTejdzKgat7o6kQ0CIv4Fl+fnIiQKrpyJ3S0sx3NEpvya+PuLqFud6AlusqHS9np9fPGv2wlndUTy4hRJ5goKb9x45rBuv8Qfz9c5N5X0DrzsK9DOZVeXN3BNcMzBSIptms++YA9WS1AGHwVFQujFH3AM9Ww/M7GueM9l+OHFlw968WZcjG57IT5nNech8SdZ31+UFRE2BxK4X4p97f5sajn2rb7Avjq8eGjx3fMqum3/6fWKvXmi2YCHdhZrtcJKik63x5KayG+9S+QHDpI879P/oBXN36wZ93MPiv9CrwAB+KCtLLjG5gacs1l0CRzzYLRO9g0J38+nYCd0Zphnhu4CDVF9Lw7ecwj1Qsbuz4LJ53zTElfjNPoJM6qtYcQVeLP6TXQgNIhsLDGkICAxqJTJiLIiuKLVPDCaj6iJC+dnjq23Fp65Y5f8c8ZhV3xDjLchbpFqeTZ7/gEJVudRdgzVgtpjH2lS7YWtURCVH4Gx444UCRJluLGSg6fpTeIVjqwmGpU33cO/ci1OjnsQ4RgxlPMpYI8151JR9o5oky60BC8myZsVXT2O/Gl5644yziMnQk8+2ozaWyBspA42c0pDRW71FR++3QOKuvNBA610VH+uhYl3cnPRHeezOpq2BHFHqLTf6aHTAdvnEyZxRq9RzMO1WexY7fuwn0MxdEm18jqPwrTQklstE1itnjViy46mWKPnWKiIwlNfjW6nsINW5tpOZ3KaezbYdJC7srMwcTx6JVp9vhIGpn3jh60EirTlXeSc46Xt4MGX8oaLH6Os6F+JsvXxP+IDMxdsXOnSuo8O3tgn1BW6b7RpvErcWCabW7SnusTbOW78KWB4mJ84BPKwEtYXHXgznmJfSpNCT9R13eAL0luvdud9CdwgE2VU8Dyz/fRGWRcNKpQ4gyTklaFKO7dGYuXxw6aYlwChNOzViWqICGjR+g5B9JORdU72OJnNB9I5A2ERKYvvVxMFYSD3wtcjMxdv1fRKzGRJPAcIvhXYBu9otSJqe9qrCO4OX4AdNPTwtvd9CuFX+nGrneZg7r0nuhHLS5J8Asg9ytEm0DJ0ip1/qN7vbKzuK/Nqd2Sul1FznOkL7Cutexokz0JQOyAc49uKPMGefS+wcefsaNDpUkhbsKho163vTL2l4rhT3Z0k4D4y5rYpK2wcHDjwo+CpMSD8TiXAe+Izm4LCwYYYQYSxW5Geyvai+dU0M3anMhJDIHS6zDyDv2BxEHcgpuOTTQDj7eVdSj266AqKsoIMBKnR6kL+mUk0qMGapEdxq6heSAPiHjJssoL5gXh9C7tQM0qJK0YxWhxBGyYx2m4h3+qv2j9rIKt0y4dcuxCHa/p5N0u6TNLVOJ3oZUcxu89W6WkDiyC9WdOWzmbkK2r0a+efebHfnRonW/AvEMpX+2eFFVnSR73Jj+TfRMqt/QjyFSM8OFRINU/YOx03X2gbU43rpWCcJath3Udsv5VXPO3qWVDXi+9vPuWaOE4jxtFombLIKtEszyh+wmS9GG1fIvWuKRaRAaqTYl9kKExT6qKdeJDqwQZjCmMSUe2puLytCvbVHPwazSET81l3NvSd4dNENky54SkV6ZYAAU1BK0F/kEdHW64Oa0PUqFaygU+yhSyWchh/TuDzhykJb4YmXX27lusX10C1ITq7W9iUR/LL1sbfP5E+vSMaO6mV9tPQ5UDjgU4rlUPsK2H3u5aLoxI1BgJWD0OOa6ObNgg6UuKU/d4MLJlOiYF3nZYxwVzUTIRwcxfu1Kf3mCMbo2SEX3QLnuFl09BykLbSfhLiQwnJNuKZolj3CLSl6HGTQhEWRgsrcv5z4QuxWniEJMAs6Rr3agauQ2ZcgJ7hviGL58QPsP1c3DzAbBwe5XAflwNvRjcfEWhwWCH5UacQny5H6Mxq9glGxa7kxBH/3Z63y4b+BZgYE73B2bScupPHFUo3cmYaR7pqzJeraTUN5oJ8si5eElX57GINPU2cndtnjzOdmKrfpx6eZsUz6B6uTy9P0sfGUgdtWkCG1NjmaZw9mikaWTVrGCxLs0PIo2Ndf0zQBHDz1E/ns+0muGV104rjyLXUfZliq19OJ5YSJhqY/lmm+D+VFFcTCmVuZHN0cmVhbQplbmRvYmoKCjIxIDAgb2JqCjw8L1R5cGUvRm9udERlc2NyaXB0b3IvRm9udE5hbWUvWFRWU1NGK0NNQlgxMC9GbGFncyA0L0ZvbnRCQm94Wy01NiAtMjUwIDExNjQgNzUwXS9Bc2NlbnQgNjk0L0NhcEhlaWdodCA2ODYvRGVzY2VudCAtMTk0L0l0YWxpY0FuZ2xlIDAvU3RlbVYgMTE0L1hIZWlnaHQgNDQ0L0NoYXJTZXQoL0EvQikvRm9udEZpbGUgMjAgMCBSPj4KZW5kb2JqCgoyMiAwIG9iago8PC9MZW5ndGgxIDE0MDkvTGVuZ3RoMiA2MjAxL0xlbmd0aDMgMC9MZW5ndGggNzE2My9GaWx0ZXIvRmxhdGVEZWNvZGU+PgpzdHJlYW0KeNqNdwdUk9vSNoIgVaoI0oICh56E3nuvAqFJDSFAKElIIiUUQXpT6b0oVUV6FwGlCohSRKUjRYqC0jtfLOfee+7/r/V9K2sle2aemT2z9/O86w0v900zEVVnlBNcC4XEiYBFQXIAdUNDXTAIAAKJi4JAYpS8vBAEzhP+t5+S1wKOwSJQSLn/QKhj4FAcwacBxRGAhigkQO+2JwAsDgBLyYGl5UAggBgIJPs3EIWRA2hAfRDOAENRgB4KCcdS8qqj0P4YhKsbjrDP30sAP0wAAJaVlRb+lQ5Q9YJjEDAoEmAIxbnBvQg7wqCeADMUDAHH+f+jBL+CGw6HlgMCfX19RaFeWFEUxlVJQBjgi8C5AUzhWDjGB+4M+DkywAjqBf8zmiglLwDihsD+DpihXHC+UAwcQHB4ImBwJJaQchvpDMcACLsDzHQNAMZoOPI32OA3QBjw53AAYFHwv8r9yf5ZCIH8lQyFwVBeaCjSH4F0BbggPOEAYy0DUZwfThgARTr/BEI9sShCPtQHivCEOhEAv1qHArRUTQBQwoR/5sPCMAg0DiuKRXj+nBH4swzhmDWRzuooLy84Eoel/NmfBgIDhxHO3R/453I9kChfZMDflgsC6ezycwzn22igORLhfRuuq/EHQ3BR/tvnCscBJEEy0uIykgC4NwDuB3MD/twA4o+G/wqCf7oJMwQFoFFogAthDHgQwgVO+KEMwEJ94AAc5jY8KOA/A/+0KMFggDMChgM4wV0RSMp/Vye44S6/bcL9YxB+ABsQgX5gAOjn518rOwLDnFFIT/9/w39dMVDXysTolrXQn5H/FVRTQ/kBAkTExQAiYpIgABgkIQOQJiyC/lnnJhTxp4//yNVFuqAAP4v97JdwUH/37POHBPx/FCIA+GcxIxSBunAA/7+ZbguSBMEIX+D/M99/pfz/aP6zyv/K9P/uSOu2p+evOP9vwP8Th3ohPP3/IAjUvY0jyMAQRRAD8r+hlvDf2jWEOyNue/13VBcHJchBFelKoLQIWEIUJPHbj8BqIfzgzjcROJjbb9r89pv/FJwnAgm/icIifj5iCFkg0H/FCCqDeRAeI1gCN3+HoFiC5HC/LvKnDSeI6p99aCJhKOef6hOTlAJAMRioPyXh8gmWJCAATJCpM9zvF7sBQFEkCkdIARBmDgK4oDCUPy8aDJYCAHE/fb9NMRAA6PfL/Mc2sNsYDKGPX/wg9PC3/UvxcLgfHEb5aRwFkw93rwlvPahSZfMVWRpSIN3MOLASExkqsifHdWuOOMwnmeXmTOg/0frUBdayd283UvM+yJv5sB2wWMtV5y+xJ8KlteLK5fRg/HzvwlhywD779XHaJqKHlmlqnHKlmG6imxxxdB0Uys6u3Wa8tIF/1XR+TPblYyrTktaLaDVq66gqyzFgZpe1+PrZFNfs1AdZktxh+Sv/s9f9sIV425h0o6zr+gpth5RJvpV0c739fVP0XRwv40L1fO4ufeeJxNFryvexa0hcqrSYenT5JL/UZz2LIcBJm1Fl3bn76axA2kGN0Zbb4ta6HTd/Soe0m2OKSzz4K/6Qgx49xaSWgSkoXI51nsyL4iJp7FVK3sdadGYidF7NPPvM4aEXFaHvPzHWOTx3cls/XdfmbU84v7BhkuJZ+eLXoHreFwk+LpHELX9VpdEvagox5wisBbmEPerh8cyd2uOPGLMUs5HJcGuFKJVMyYa3hFjRi4vT+CAyKswvA+u/9F4qtt4LwEucPdpua1Pjm/CujEMmMMTj52qnArOKHh5tgoGv62CZ1fHqeF+v+b3ASr95O4NeL1Rx0DN8q5fkt7kP9PfiUXIArrzHa+2x4Qksoi0x159NLnRF73KWEz9wJiozKnh6tBPK/KYH1UokTulTFhp/tI4/XSfOAhhRouvwpE9uXpG3GGl3lep91E1FrPRJ+PyHUku6cYiehJcqaPDUVLxhvFmQqS+gTegRc8sigyz9fATi9tJbw5RFYxVatyARxkn+ezR3mUz6wlaT7se3qs7tNOfHCYxWs419o24tUwwlF5V9/CVnfUfcle3ado7iZS6bNgeuc6dzlMOV72rsFkWzRz13By41bFle5/rGSrzYkJv9ag66tYq6pYU1ThQITyni3XQW22r2jTd6/mxUR2lXI2j3O/lkbmK3derl1m911WD3WxVhrmWXydrBTm3NOXpPoIGObW4JpU53BF76Wodtwmz4QO4p32usiKT9D1wpGTPcWM0aIx7xkd4JYkCfiYysuYzbA6DH4w6U3WyeEniL1e0VpOn2XDuHQwJcpbJWkBgfmJaYaokQbZQdFLjXm5mtFml2bxYr/vb+fY8CYft4p6Ss7/iBZnIo1UCEhIMa2cIaIynD1HHP0BF4U2h4gn70Au1Xy/oasX40KkfjOOdpDEmbn1K/ywed2iMbLjuI5t5L9yzTvthgoNAx1eIi8xogK4Nu2lNmEW81lYSu2cnPztXhttifCnVu4G4IkXeWeFQIKab9JCknvHDkw3QDpn9fcGpcXgj/9solq/hKBjyNB+BqkcnorG+3EtS7x0lqCZyge9Q8pE/HF6EMf/d+P1Exes2luUHhu7v+yb1RHo8mz70ZXocdLx47ukzZBZGusIKlqx5Qg4E716YOMyBvb4ID3oUyXmNCFsTce5+nNRHgBHkx2OpCFvn5W8GzgBiDkXW+6I4Oyn6rXNmF/pK5o/2N+lkl5VDGicU6SMHHPtSGqW/W6LwcZRRnNrx5kxK4RRHTssLB/pKF2f/4W9PloPCCKNzyhNWjsJbr0iFb3rjwOZejoA6G5eEUgapImYtmpqNWqf5XGRRysHVi7qnG9q3zYS10vB3U981zWyLmApTGEoAF5ZWP1b1Qs0ugId7yoIfoyavOXwLcmCWUYhliL9n7apR8V4Gb7Dhf7iJZgyKcrYft51Ta65XJ0dQIcXn2mlC17mZVDvjxMWfvzi41yfD1Z/qw1WUHSsodpZPXJxDUsGKRIDtj0+uBI/+ikE830IxkPJnmQ+zQkpCakFxJE7Fb4nIsuY1sfQrW2sMB4INzmIUuaxWJFL8DxvD6QQwuwjkkJGz6idF6pJgdDAGd35PYPlfc5HiDyXzu4z9Z6WYv+FJH/1N1oO3OR+sYX8b6a4brheLCgvVdsT6SQaJPimVLrlblX5eCttbRX4Zbr2YFPSCReiwWpB8G2nCwqGIeeh5/aXIQWCrVETwQA9ryUEuK7jnz3FDyTZqxWlP4rGOdUNVz0c+H4QVjUMiilghP9vVsJyZu/nq8h4aJqRNOvrb38qp7UVNXrgfVohHrnsSzUTKJw8yd2dqpc3dVwWxH15EokyfVNRT8JV/kB0KrTGjMucLV0U4rb1TkDzrViWThq3xaNvxxlI9OIg4fHJYoD7EkYIhiv2W0tjjsVERcoh9xMSa3nHlHvFCWX3b7EDS9n5jgAUyq4KuU3KV+PVJ2WP/+I0VotcisgbXFrSdOXyWs8mwGQbcH3ZmVNMc8akJquK26OwwetDUcPOxNNE+v2steABhGeR5BdNj7kCNn/tldcPOenvMTbITqxamcWFSEONdQoB0XoNIuc3GZDd8cOm1UwZd6LUX7vTlYpT5SFChLLN87rHth7a0WPoWnpC3E/CNQn5jE84OLlJ/3XAEHhT9ljW9Q9V0dHWCtIO/RpFOqR3LliXW1P8rvXYN7xUa6X2GN2YsMElv/egHkVeWWPIuVu3oNrJyHZEJcfWwe0IgCG2b81KBLRnUIQ/oHF13BaRsXVkViQwZm8VEB3tYfjyvokr2fVDQY85O224rc4o5n5cxb1+uk1BFgx5jsPajnMJHcK7wDYXEyCAIqDUl6MHxl2Vc08X1kfCbNLHkSfYNNLvWD8CNzB2aDm8qJ9b39V43UK5bNDPfeIzbf00wopV6m73m7H71EvfRDXPCD+w3LzlyNNZmVOJ6t0cCtPO5GrdjZ/sHYprNrqxMGyfIOdyidTdL0dHkaWtI6rfv4P7Iwe5l6rzDuF+rZsCQFu4zTkcgKpz2Vqv181QF8VDga7Auger7+mN1MmFQZfF85jJxqe1x1rHvW35P/7oLBhea3uOcFXCSb5g8YNr6uUHSwPvVSGRFkPn4AYZJ9MKnZTFxsaewqMpE2/jKetkpnFb3MchmqQ8Z5ndwWX3T6ig44MsoZruluQRqQC47ZBg+GQapTLQxORyT9LfUD8SEj2wvp3wMnGnCXitzVnFcjLBQr8J/EJzog43rBrcs2NW31Z+/FHU99Cs7QSEyYObWhheWT7D3RL4zWIriVzIzVqmc1Yvjc9z8Sw4uJoigVzKRw4HrPrmnH505Zy7FE+S1EuuvMwxwOArm3MrfHHOB0mpfNcDTF5jDJr2/U51Xi7qK6Jel6/Qw03rSrZsQ23DntNirheGdKDjCI+5bj0uO3LKbBn3Z3EFlQMzGeM4mYSnjydvhxPJam81NrQtjnI1HMDHkVCee2ps1jEZLy08avu5dXwspC8S/Slu5jKkhp1+ZGeIrVnlAZEANjH3yRa1Jj3gWMz3zgC9FmyxsZAt+WAtlhHUMpk3ZSA7NakvmrmSXyZ0v5V7+r1ZyK0Hu0Pm/O60nzKJ7fOX6uz1nhFTetMuNQpPrX8oeOWy2jHQzkwjymcAqvMQ0bkmcJHQno4IHvFd9jqMisppJVT2W8VPGfdr/kXHRuM5K/vpgZzEI2nFTWhp5t3Uu/0sSqrl1yOSTZ6F1+1b2u2UB5gP6lDSm6DtXZ/bFeR8fFNnc5IBXxVaJbtfdDzs/MS3gFj6TYbD9uN6gtzydPJCr0ry3djOdBk7g/C+noWfXtxEUIIcpmEBVFek/G8hpPxgAvzIu7B75jV6xbct0jgh5R2r7C6aivXdrsP+TMBFJqzC8BnvdTBCDgXQvUmSTlCg8r2drW3p4GvhINSIdVRXkegO4VRvOXMk/cUSfPENp4w97E/ulW0xmaB8D3gw5aSlvHo/kkSUsnwYtIYPbqTJE4aTlu1nQJke3JA+L18+A+Vc+UC5Fd/eIwJPI8yCPYYFjly7fyVzQD2opd9k/dPq4JeFRmNyMoZJxGEw9UsPZXD/y0z0UTI8lp11mM9yOzbsVtuFcuaDFBplrf0QjzQDfDrplOVh1hXVLqCos+2nqFwDzAqGqh5TvkUYPLsxdDXmquRTltxgmrV3hvd/JFnloxrusWZveMZVzEvLCdbHh19/X552NTOMrRJ2m+BeN8Fa389e1YRWWOy3v1oStk1Y/Hmy1J99CRY9seZI/ChvpUC7jo+D/ZGS6yfqCnpaBj2pt6YB/6bPi9cWq15/Tbd/6K7Dtl9nhJzfhQVjzP2d0B2LcZ0ICHWSz6/gvV78RupRgsVcSLaEdSvTfJZx5xrc2D2ppuY3wrylfCIgCFjHMVbI6puQsqsnHcGShbFYNkKCTdzhRH9ZUW31751zXBl/vm8pEimsPXliKSUc8hTp+n2yUXKxvbT16IpbQpPf2q7+ct3lk899oBV8rxLHv1wbvAYcsPvNGgwkHFZc1ElcqWFNFNMfs5TG2xXD4/h45SOXxl4ubgdO2YfOX+x94PD8ODvCxzVkV+1BvOqw7hsY5Yp6AHefGfTjuxTSpMDsnYViBxet6CVnR7OK1xkuarp+meG3Ezbrbajk4X9qCcMkVZjTz8M1t99ubijJXeWXVju5sL2+qk15+e+7THNe26n9ETJShn5B9NDahyjDYuS4qWYeXa7HrZ5HXEKiJe1Ch7ttfVwJgYFs+Ibhbv73DDyQsn10Rw4HsfgdeAvYlOCpGpyVOnHsfApYBZstXhFFT2UAFj+P03PSQLX4tltHnpY9BDra/XexoNf8iNph4hT1/xwMxC1tkkuZ8k5bWAUmM/T6hEcKc1BC9qUIzekJGnvvNwq+58G3uRI99+rUrRVf37o8S60Gnlw5X1D/hL8gkOdsmtmGDCXz+d5MoYIO6EqnN7RUr9sbS2673mjMPXbHK0h2qKsjy7l370rrPwZAs2SiXuHvW5YWh3ucMouODl8isDl0NGLLtFy5yD97XPQJoZ80MUREUzKuDFhuIEP0RVrMUTb+rEwabKpynP6MbRX1yLjC74+tvNjtvmTGHFvL02zpTzRD8W6zcc7ckH7O5CmiXu0kV25L+6X2r0aHOMbo6szWN9rst5zu+lrpumYm9YaXSxXZIdBgBJ6giiadnQvXv8LVtsmrXiBk1x1MXMs7VuG4qqdMr3SbDbp/7N5qahHnMkDwhvJPX9MWxP34S2R4YHtlrdHCuweNHNv4qfGV7zCvB5ca/TCCeYP/gjC0ZHpJFZPXgticpBHucxNiOSnbsmwcFbWtpAqlV2uJnJSn0w/a3m2gUSVeN8/opI7GuXal7+qWP0kMakznUxPtIMEXQslf5mcFWM08KOOLfibc1tk9WUdHL+dQ0F+Vr3qq7+xqPZT7pLh2JYJo5HDbPHqnWukdrJb4zMemNhPWJjJy0fMAyikdML0u/V79mrqxXMx61UMSlOYx4MO6ZtMeV4ej/jF7Obbs80grPl6q+kgGo5viqXjqDBafs/qOwTMrYuM12hd7wZbHbOpag/fa6sebisz5adzVcrtB1TiLHlEaPgsfkQD/QbR4u3Ea1/tjZ/WO4dRlovSOxYgAE83lelepZsLtPT2416IIjGUrMf0mgW73l6lDqpIE2EtgflTRPjkXlJMWL+byMrmcM/NQRxPl/RX/2obwEJu/FU5tp8fF4qWlOuzbc/N2+YWRPGQJWc31neqai7uxpTqtfr+P11ipWAqd/mTNLqA5IuPwrJYdEJt7Ib5C0aOqxr+Z9AfcSw+uCXzcx6xdQLkU2bocVy3heZe/rc/PWn68605BWsz/PfRZwEdwZuPW2cpRijZ9yBADHtpyVclZuqXU5rrb2FdceLnuW8nvgdUBY0GPslWeOmupGEvm3D9NaysuaNH6bIkf3U62vzHjem83eSVMwKjgL1qATOd3RsL7KRMQUJp4z4mCtrKAiEDKRt2hVlnxZtpD7/nlT+eWZV+10v/ctkUqLGLAjPiq7h3rx/HFGWDLME0JAjsKqx/Ua+oqPUtR5SYtJEHA3jkIxHPyfi0QqZgtNhak5+8wXKhXyWaCFOeUWa7Ivak3fu4GXopM0waL7IGp4Yj93FNyoL5PUlGXFQw5DoV2lXmW7018ADjzN2nCo/c2ZSUeMMomSGq0Hp/dGBb0fX2ow5BWa93y3RaaXiKNKM84kLFf1qilu6SeMmaD6WOCx3K54n050KpVeOGMsuRaoGDbI8tKWa97enFVb0c4h/+dSc9Pn9jtmHUsbkUe5qEwsyyhHK4V+WNEifJxAlstvc2/HXSPnUfsnLssThRpJTHPQ8LdBXgF7XcY72WScCCg2E9mBfiIjq5ULQ18X7VFX4lv1VXnxj/jx6F0hGFkHckYYC7t3HDV+j8qNK3d4VGmQWlG7Y1HnrcGCisMMC9sEahzSHQS7UTnq8l0x3tsIepencqw5z9rBESy95+5uOKPRyzvtRKe6I5PhEXzzRfssUVGXdvIGHZY7tVL4VEUAQ//CyGJ/lLzfISluwdI17fOEMM6QIrKZt5wNrQYI07X60ij+cLTXjZeczbPJPKLRWL0qhcDpcaCpJEKJQ9b2iX0i5/wLA/iwxh6JQU2qRw9MSE6VAJnF2YNjvcM0OEp0Z/FeGTyXHsbKJP6X7XMS7vKL5lDsvqTICRapgBnQXw3fqIBfp8zfwwX309MQ552wGR9cipceKn2kL3eoYyFeLr56NbV9TbCIX5BsMhUg/lQm+E/XgRsbIXE+7Z+orGa4rDVw13S+a3PSOG0teFrA/4ndPOHdaEmRWDMTFswnDRpJBDN0gz8bNqro3WAWLFl+i8l7wSMr+Qy5BrvtarGFb6SJlnZO1h/R38CjJsL7iqae1zuUkdJp3ko/7+TqZ7n4k6yktOrhj0CyqDKqbFnm/MGHmqE5NdFfaGw7JKmIuVXAqpkKjcTWNMyNVOIilsWMk+8h3CVFjPx6/JL8v9D/uHVg1sRaUD7jK6GszOWyAarlDx1E7+BLLsO+DAwi5XjLLVqGti+n6ta3tJ+OQi75fHmO9oyDlbW53pTATa1sGyXxyltaxXa2ZiYAF1ydF9QbOSvExUcT6l7JpVI7F39tumBnJyTwsZP7L9eJqySy5ufKMwOKYqRPv8PEEKr4xJGNFKVaKZqGrN1ggg8I4ifLp414rX8k3wOsD84EemWX8cFYeIMuM3tM2baqmuWTO3t2Xeewgw13UDTf0MGSVt2tr6YKIaQG/UrHg0BHFSNnXPjHJaLfWlc2WQF1RydsvHU1uFu6P3xVw/PE43cSkt2GV/+TSvkSyJEtqrX1p2Ez4XSbD2UpUNAe5pLago/IbUy3DMpq5zpCz94OuC/fW0B0uE7PESJIzojbJHjCtc3lRc+I3/a51BhsDSv8mb4o6tY4Gnk6Vv1ij+6VWuS3X5yiHHhxpXmno0W3elDoQPtaFvOSJSjgb8s/+FLWRfEEnDY1oXj63gLnl2bF48k3OPtTqnJZrfkVnXLTKc6MvlpxbQ66MKI6eKIJXgPgSE5RlIdvQL/m0r/e6g0H6kTL7K2cGwSO5qHHQppidtB//1xYJNFXFTZlWQXbRiz6SHHnYASeF3Xu1dgYmkaBNwYMG/W+pH4QaVZTgoiITqCej91fO1FkrWGkvpj3sCfHsp9vsGbYNZjUVusLj04lK0yjOnHCNnCU/8w89XCtYgXJFU3/RMEJiVgQ3B/cq8AUVbgdhnw5sQvlKuvmiOs6Xx068RSvi+g842qffFUdd7RoqXu/1TLHwE9+F5D6h3uM1cMJfI3Myw4/WKaDkHrw3e4EMDr+K8A28KWr4/jjuivo16LNsvjeI+g8jNVE+l4wCAtZ5J0Rs4hfyRDKE8psZRFEq7JNlbupwzbiPfCFXaBbXcmS8elyQUGXD+bi3mipD9i5yKMUV5P1DrCy53TiwU5Q6i/kozJf+r/CTm7X6PIKBZLg3wxnBRkxazr6cU9DGU5mg2R/S8pPm/suiSF8T4USerFTwIuVqxQZsCGK0yhkD/utLzGl6YXwGlqfch1Kc5jVY0kqKnv5r29CEwqdbpamr0ztHj1NyGSCcC192vaec0eHkjzOaS12LqG+/UF2sBFmhnmzUDUbg8Wz2f7mvvjWu9wXq6g6KV0bTTTA6qlg7CUepmDGWztO/0qu8wnJpJSf888UDt/TJ/KAB6W9kUh98wucnQ8P2JEQoVqMZhBOG3E9O2rlx12dGNbghB0H7csklwIG25VQXXu7lTKJL/brxe8cWIUIrax3xSIdMrZXVyh0qg3XxMVqaY2K1zB2R3VKesPWXkytkP6hrAPZ7j8ELAi0vE5f876/2tUiOcJDaGmSs2UPYYAZUju02QYeGZb3jVjkFiq4KElqd9V55O26hjME++GFqd18Mf5kB1EVyhnOkqwbMb5y6+DmMvsFLw1eZpn/jfYD5oi4nzcjra8cpHBk7a6qx6jt0ncJluoJOuzSvJjEOU1tbTEdPe4KY3t1JJHN/Wv+mzbbxfVAMUYhF4xxD79ryzmQw/EZAWSTlTNOzlQmBcwnO+uT/AQov7QAKZW5kc3RyZWFtCmVuZG9iagoKMjMgMCBvYmoKPDwvVHlwZS9Gb250RGVzY3JpcHRvci9Gb250TmFtZS9JWFFOWlkrQ01NSTEwL0ZsYWdzIDQvRm9udEJCb3hbLTMyIC0yNTAgMTA0OCA3NTBdL0FzY2VudCA2OTQvQ2FwSGVpZ2h0IDY4My9EZXNjZW50IC0xOTQvSXRhbGljQW5nbGUgLTE0L1N0ZW1WIDcyL1hIZWlnaHQgNDMxL0NoYXJTZXQoL3QveCkvRm9udEZpbGUgMjIgMCBSPj4KZW5kb2JqCgoyNCAwIG9iago8PC9MZW5ndGgxIDEzNDUvTGVuZ3RoMiA1OTkzL0xlbmd0aDMgMC9MZW5ndGggNjkxMC9GaWx0ZXIvRmxhdGVEZWNvZGU+PgpzdHJlYW0KeNqNdwVUVG3XNg2ihHRzaFBihgYJ6W6kw2ECBoYZGFpKSkJBUEJKRAEBCaWRFCSkU0kJ6QYJg/hGn3qf9//X+r511ppz772vXfe+9lpz+LiMzURUYBgnuCYG7S0CFgXJA2oGBjqqYBAAAkmIgkDi5Hx85khvFPxvAzmfBRzrhcSg5f8DooaFQ7xxOnWINw5pgEEDuj4oACwBgKXlwTLyIBAgDgLJ/QXEYOUBdYgvEgYYiAK6GDTci5xPDeMRgEU6u3jjEv11BAShQgBYTk5G+Lc7oOIOxyKhEDRgAPF2gbvjMkIhKMAMA0XCvQP+FUJQwcXb20NeTMzPz08U4u4lisE6KwkJA35IbxfAFO4Fx/rCYcCvpgFDiDv8r95EyfkAcxek1x8WMwzC2w+ChQM4BQoJhaO9cD4+aBgcC+DSA2Y6+oCRBxz9B1j/D4Aw8OftAGBR8N/h/vT+FQiJ/u0MgUIx7h4QdAAS7QwgkCg4YKSpL+rt7y0MQNCwX0AIyguD84f4QpAoiBMO8Lt2CKCpYgJAcC3+2aAXFIv08PYS9UKifjUp9isM7p410DA1jLs7HO3tRf6rPnUkFg7FXXyA2F/zdUNj/NCBf4sIJBqG+NUIzMdD7BYa6ekD11H/E4RTkf+jc4Z7A1IgWRkJOXEA7gnA/aEuYr9SmAd4wH8bwb/UuC6CAz0wHgAC1wg8GImA417kgV4QXzjgjfWBBwf+p+HfEjkYDMCQUG/ACe6MRJP/Ex2nhiP+kHEUwCL9AVsQjoFgAPTr+ftkjyMZDINGBfwD/z1lMVNdEys1k+t/9fy3VVUV4w8EioClABFxKRAAFgdLAzK4Q/C/AxlDkH8W8h++OmgEBpD9o17cRf1Vs++fNBD8c0mEgH/HMsTg2AsHBP8hux1ICgTF/YD/z5T/7fL/Y/qvKP872f+7JE0fFOo3QPBPxP8DgLgjUQF/QnD09fHGrYIBBrcQ6P+GWsL/WGBVDAr23zYdbwhuIVTQzjhSi4AlRUGSf+iRXppIfzjMGOkNdfmDNn/oIV647fH+PZBfMhy3H/8OqIGGYmC/FklcShqAYLGQAHLcEHGSFBAIxm0cDO7/m6aAmCga441zAXClBwMIDJb818QkQICYhwvyl5L8X4GhPlgsLvPv0eKy/iX/Xlc43B8OJZ/8iIHeiHStiGz89lqF1U9keUBckqLzIO6QzHJJg9l31SRcTeH7V4kX9ydUWsdW7n+fp9kUL7yodbNiALk5zAWl35dnmKxqJEY4fREOGqJR/LHppe8jvqLX0mJzWwINc2bYrTPt9ju8OSrEKOy5vzyeta6lwF9XdlLqsksqULMleoVgIP4+KZOsrMQVgsgmlaymMtU3KqNjzTq8Xgc3B7Yfs2uuf0/v6BWXWuycKhbGRy6ks25sUHjoHWZtKD1Za5Nm0bs9BIzyLbVpMP1MFAw/bIwME3Ty6jNOKdVby5j42RXAcDCRrk7PtMr2QINRHRTq2kEWAPFRrTm9ZDFlj90IlrBU7crVO6w5CJSJPQst1rH+NhGyEtTbt/1KVj7Cw48ktvrii5wgJnQAE+5Rw6RwhM08pR6egBg6jTXD6Lucu0D6FLHK6CkbAsmTxWqHNIb8V0w5BPcsN5i7EjhOVdikFJdFPou6yFB0H1k155UbyhCdXnnVog7m1AoSmAb/JAjTMQMzPVdfvsXpP1EkLTX7/CT0rmzPTPTYt46bBablBcmaBXR2FKL8eE8VjKRXvVFu7vWE1Ckyaj3122yUxltPR+qv/Lh1UxOV6JFlUrNpV5pYi53jxHse0ficsJ8hXSVpLe98lc4B8c7mMDCnUWWvjmrm8d5HaQ58HfpCu4GBkLbCYjfMfMIHLw6VYNsTueLckVnGm9MyE/p4QiysBcGLvXzucBnPkjL5nInMs3a59fYXUpf8o0bNq+NjqM6oNRXivoTdyePivJflEKXTFshemXFJAF5YStG7/qqFrOjBAaKb9dGU+1D+0BOlMHmlfV1yRv2mHmV3Fn3iOXHdCH6ilxb+sh+KdjdvCw5mbxMy4k8x6amvuDtkWOfwiYYZvcz9qEVkMKlRszFlUoPPlCxNtX227widofv2+YFX0BQVPLwWSaf83nymeeSDgsJUWSl/p4/RIEiC3kJCMCQdxLj/xIaS78UThPm0fsOJfF8XE2nze9KWteyQzRXDu8kJY66JgcRz+tLX5Rxkzxyv5hHsxEMLje6qlKYcQaLDB8It4GzPRDnx7Iqoo1dAq459FmQOXgRjR097nDw5UF2TjzQf1M0OGchaz2uonh5Gt33ZDqgfukmnuhclP7WjskftiXZul257RHxp/L3zTa8v0p/0UzCZs0y3JdYCzvpj+uSIunv6RwQ3seS3Tg5C5eeKAy5da9EXzWS93jpSdzeDuOtb/4Jb2Vux+LJkmA4wKmenW2Zui2Wk/dZELy0woDZuo7+jvx9U0vLFwshn0vC2KpbWsYtp43vDRyOVu8vrycuqE2yrTVQr1UNHfYs7udNjtYs5kgpZr+vY8oVb66d7DziKYIOzqwfMy6lciVg22VCsRP4Z3TGEnfAaaHnWUtWTa5ZdqUPNV1i5un6e62OC5jD9j+b9vFU5v1SWxJe6AsYNAWm12iM9W++kUAii6bHUDsJLGwlsLl5v3F/afxHJLno5djjuDxgTP5vdKqkCX3+aJ5gImzeZc1s7HOCJ6shYv04vtlGTwHOjx0vk0l7o7k+hU8eSbte9zFUFbi6K3LoISNlSnSwCdnfUtYBnIbaJf+xmYYH20hXHztM3q5eI7A3jwvuJotG083c5jJiwX0YcxAhbGElkmm8w6WgKvL232YG2GfXeMb07lvqmuVVojOKrg8o0e3Jj8ap1aoUYwwGtOk9rMn3Bx5dqCaKmMUpOFrzuy8zEEk8fm/IuT/KO2GBh9mGUIcRML0Os4uNLwufnM4TuJ0+Mv4Me5JlT1pwoht97d1BaNANu/17c0vpCKSrFHZX3c0JI4/O0wWCbkU52m3QMPgfm8aeM1bZVhBBic+B0Jw5Bne4lGFkoOdirYUGaLIudd9lu6M5gtMtny1t4Je0SLBHQ6D6UBO0c/8SA3IyJ5NtM3F1IHYsydxldTJKZfJdlA753zgzlq4AMPXho73eoTVrF9ybq4W0jgF7EYT5u4anoza/4ffkjUmnj7wt0H/K/c7muSvdGB0T/nYG+Eka1n8Xp8nUVYxEbd1iSaow0Mi02tCLTqbvaEbNyYKFquFRMijajMZedXDlJOMuOOS8jJlaaJ69P/9QDeC6H6UDS659Bb5QNNvjztg11GDlpNao82w7h+DGD3gMn1h5y4Vl2Bci7+p743t+mnkvS3EWEkI4i0W1d6kH+Z6p9Gc1ZQXs0huL3y2Wadw1M30VOhJ7fWEDb/yD1syYl0WQmP5q+c4spuPoooSa3Zqf228HHhMeYL3h6Ji03FXwnSzi+TRng+WsdfHo47b2qSRNjWGVEK7GDCOxOaheR9L9+2tVA93XYB0T6dtORLHpj5S7LK8IzTrBbDCFCLiqo7MFQuEEyAzj3TgL2a7Hq1zUtVMGwUFeQvK71HU/0tuedtEIwz+wN/PsLNU/y9p2yH7RCJ+0OhZSVU7wJy4ttsq1y4dBV0Uvn2Q6szxBJSiQp2zE6FbRUV7Q4Lg2GJQc+3dFzTNCJhpSv5Z4LtqTyihusJb+a7dJ1IRYYyexk2xBMzw6JkKYmj55kI85mf6h6dq7e6Dc9CgrqsB+cV2dZWpB5qxRpdq6OQlkwLxMrfh2You+Q0mlgbzSLPXIwcnh/h3pLbgsD8Fxs03R8c5/94g4Bh6drbj6mFZwrRVA2xfuyLBpyfrrZBpAQigtEyrVRW/Y+fHooGDpIkflamzEOxNtCBWbisDq1/RmxEqc8XR9gO8LsN+UqX3zKzjPB2zEYSk5+0TzI/fWTojXT+uoQxjokbB9bM8qWF+IKEM2dWfGIFx0x8pjW76CpGJkoNoFpLhfXJoawkPz1ctaeCkht0Mzj0ud9HI5HruPIlkW453uXrUqGIe5No+54rcKlkMlzn5U9h8fod573VVRcXypylT+/wfPS6SbSnC43M08m3NR0kmcukBHx1MoG/1Avd1iyzYqOXna/bv1x2MsB1zolvzc3LASvcUbLXY1on6wNvzVv6MbQxp0AK5NEpJG7nOlkvwcFVgX8iO18FPJANIej0zB/7qRly5b22eU3Ajd7VX6OJzVdLvzaMdinWfCm7DP+mdMkv1hGN3dG9nlAx3HNtDApgpw3AOFdIB4n3LJ+ppYeBqzgOS5oFLN0CrVn3lPzq3wwFHAtWfihGEHLzTHlYihfyo2q1/VOhJQOvWHgpsMMEqq9Pk2macSNsmFbGusontjXDQNZpx8kOZa199FGYlElxxvc7V13c/GiSsYf8N93mFBF6UFYyPKqEdHd6/7+xsFNd5SP3njZx2eO1xkxJ7yg+YiNCGn80vE6VmW2L81lVsJWcrFmMwPKtqZczq+4rx5CVy1wJZgz+pLAt0JeOaRdYv4xPCF4ZGcbDXf+0WYxZxzK8KByu68jm8oGVcU3RKnjXKmz6NLefuBsuJGqmGYsIRnAbiXXyOrwWafKduMNsNLnt9O1Jeo11vmyjpm51v0FwKPIzEtX/SRfH/eN53dtChPqqnnxNLY3F744kc8iYzP+uPfWtRGTAI3+xD0pOaXttSGJnlG9bpEeVoUfQqtFp3PZ8usbH0r2O0mKB4AnUms5xM8ZJtoNl9jfJy5eOAvNlLobvOkObU+8uG+dRTkedrJBuUtxcTVR1Lj5uY9vrecIarNHcIola7dKYDrqmb9HmRtbtV23a7TXa4cuA7Hez2PG2Xc6iNEV1HpBZ5HyNFGRd8YjuGTbDLYIA5Z6LztVvpekI70C47F1ffLDpEdP7kJ9qeNu0VhqwJWP3IWc7sBhPslcmuTjlXNgDjmUiXp83ezl0412fgOTJtUEm+PGj2nqaZVULpOWwiHXoxt4IhXpu5siWTaZnxFkkcLNjwd8FiwSYw29yhfpWDe51b/zucA9ZBuT7uxHBtmWFyoMpt+yiYtYJM3QVpaTuyp+Sx9UuOmA7V/oFXY5NrOuWXOOU0i4M3HFvIBHRuljsi0zN5TTMKn9tH5OG3h17CdCvknJFEfRGatUobhiPre30tbmLOGQe816NErA/y0XUjq/fNrr2bOOkqkvNos/ckbQkT7S00LJDREChV887S7XXRHt97q6XCHMdkgWZjnRMbqi9pXheYLup+S0HNVpAh0oN1oHNgG8L/fxO7772Th+kJWjMRngeyMO/hDiUV3an4SYbI0tS9kYOKrwtfJ88SwdYSYiVsYRFhmjRh9W/QFJNHJvbgKUctKTdXx3CkkZzouVCSscy1FM0RTruWuooCjm825Bjorp1gSBomO7ElO12AvnE/6FWZJChCCPaVX5vKf4RU6g1Dv5KS7Xd6fKyqYr+fg8rOn9kLakFllqnhaJpjxbSs4LTRI6QX98nzHwbTvbBvuocEM9Lk1hheUxu+hwIYamJQUzFYFq/LKdZCb1nw+lnLjF9HrrtWKeL9eu/ByBsa8lLSrjrxFWzZrZdeQ+NN34prZzBB9T4q7nSgMUZyVsojNy50T61giKqWyiVT+HCCSVcHwvyRinu9U+Fu6/+dRF4eBYuVUmcG9AVaFLr9jtyYLiWNwWcfguVRfxKgN3sOjATrIoWckPbA4ZryuPgTumsOpwQYY+tvYr6yEK2e6VEmb/hJcu6pUSOU201r2+qw14e8ypqnNKpD5cle8pBYMXhCk5EW6+6++JJXzOJa0T9z5OXVqtqr0zNDw9XD/I/V01kZZYh/TQ3p7qNDCIfotSNqvhUoiJL4upfqvbakyv6V5RD/dkxnW9ODmDwogFQpm5pnnJd/CyIg5Ne6KvIxJCSvvfnA1cbm53XBqZYaN2yjhNVWmV9meatpTbfqYD88Vs5bu6Vb7+wUdEqdURYWNsovIihFa0xeK7RP2t8cx9WllIzPOxNdIwPHPySyYIZyCXO6ncudjlIN05WXpgXKc71TGHi8jm/Et9JcOX+6sQ54b4Hqi/UAOzjT3kBiIh/4GsjVnw/qplfKgOPmsrie6npF0bM7Cgrkwcy/f0D5QxFXWPUCpDmp67CeCCyFr2Tz9bePYP+BXec4Q91jf287/KP9j5yr1GvNt1FnHtkiEln0d5KXupdOJ5vB+sebdNf0g8cgysB0wXjpIPZMFZM3vl7WaHw+Z5CwJOTqSCqSeBnFNW8IBIqUG7GXYKtlf62mTxSZqmTiuTTX+UKPGWQiHnmSNJZ8Ocg5bwRXwmagv/OfuPXmiRWurG/Szpc8ylEjwTRYP1TPR3VLK9+sFm+RTmahOMfMOjcHnzsbZhvLZ86E7FynFzOTd+WPPJ+XLyI2djTR0g3ndi6JPg3vMsk6UdPzMaIQnerbHwp+dzVSScQvZhjA7Z39XQha1gCjGI41plTooG4QHHjJXHPTIN4ZxorfznZGIp8k8YXuLFWZdw9+i5lM94isZB6a+LTMY9cBdYJY1VbqmdfqJiabXPSOO/1a/iyGNAlknz/GKxjKhttU470HWkoOkdgV+N9HREVhlSfMiHk2brLaVpRYRZnrdbUOjBbbmU72SBQ1rIKsLrqFpz/DqjGV8ST1mwkWsRduNEUnrQ4kVkR6PXWHf0ip59rIXJvZ8j92iCjVX5NVIKwbXsi5SBxe/F2PXSe9fUnnSauzqKDgn3RMdfnlbLYp2BoWY2CPEiEkZv66eYFKNLKcWnSJKL5U5cyGUIiMk2lmD5fgsXCubbdfdEydSO3fBlEVz6ZXzaXKIxEBE9OKX+5UX5W28IOOyL1jRvghu14K5uIBUZFlSHYfZdq4avYndQ5NQ6MEchok7PRiMxDlXmR2/j6WxkG7dDa8cE79mCH5jYKwDfPz3jhsf4FDjI1bzFZpykJrVQ5BWom/Zqm3FcXdqqFVSDKiuBFtWMqOG6lsvTkO6Z/lihn6vb0mMXJJ9jbNuVeEOtQ5D2TYLlnQSrgRNzBstFcht1ThVok8S7Yk+rxUYsFuNX5wMCwiSqOXo7SRasZAuE8Qou+1+fXPuUArFA0E0ZIByYRwv7yA8UqusGDArKjrWtzpfEvL9RLzywX1nguIff4s3jrFkrv1PpAb2xbtZ1daqjN5xqGq9kPyvKbbno8R31R/MRbgft77+1Cgw0RytGUZcjJjWDXh1zebyyEX8Hs6vYnPNZ0mMTFAxX2yY/P096QTykccqnDhWnD7j6QMk/VvoiXYYP/mPlRznkCQicq7Hnppp3uYIIj9aby+/bvY50ossKYCGfR/GV7FYx+Mu3GI+GpU9RcixVnxNFBD7nDzZ65hOueEP3BK55FbBQrQpK7r430P1Z4sv5tv80i+paB4jf+AxdGUM8S7dZuFVzqMjtnF4xA5brW3ExTLDlpJgevaas5/kwVJjzWDh7boArezcpb7F6vjFikNzIW/qCf74pMhzPP1WixlpZN8O1qdrxylym7WlDX8o9zZ53R5cVHavPf5rkUaHMrCm9Yx/TtC1d+2xHFVeg1lOZI1C6sxPvZ9QxmF9MOXBVZThOnqjo+OcQc/2gjWN7QV+cq+XEnWkU7ltSEZvsSMKVMfIi8SA+0AwF2mON/DTwiKg5tHd3elxmO+ebIJXYT7Pijx4eiull0QeksSWYAt7+l23lTlc/s82vElaJT0eEaJsUE1rTkk2fq/T5k4mRgRO89+CusftQ18RH5bQCz/YHLJGa21n0thvJnpZU84sixvQ+23Jqe9c+F77j/tKjn1lwh7nxpZQDOFSp4LwP7zVb9ZdKhAY30aTizR+W/TKPipREo+CXwy1hz2Q0ntQPj4H2XIhtfPW2Pi3Q+rrWWNTch6RkYJRbz5YGXBXHY+NEie9Sdh8O6ugvO3TawUfohtk/SL2YDeu4qj7Y3/1WiYnltvYa1cDuhyRSpZWBj6UKCbBxq7GOdu1Pp0LR6JXhV4kjacEn9Brxr9C7Os4bNIpLhK8oxxJCnleZInqfsd/PaR8P4TPVsr21wQPr5mR7i7yWpmw11F93vHLpA6JsbkJpYrVykY1+8uB4ciC58Rl1fJjdQd7N8iie/K2GITxzmRvdaYmaJlpvvAw0+3XnFlPkKihZxKcwypIgIxbKeyvA+pXC6oDWOsVrzALZwI3U9Xj9vXx6lGTJUQ80PuTn2ueYYEzoEVmVeEUxU1lqYoOtGQ/6wwE9tlpyhlVI7P1g156m/njaQpEL4KPxiKhVrwrEP5IW/w2QUNRL1/suEXe7rSJs9gJzL6rWn/zNPNrSiUJajOAqM5S3jofIlS0Jyq/U4mQ/t2Sof/iZtLsu8soV35kyQdbdYQaP2wSxMHJyKt5DAXGFl7C2g6Pb2okJRh/82Wtvf6TuqntQrHJhde7+NcWDIMYDIXaNfqVyEx6ZOMHAb0DBVBimeeazaBcBJqExeX2Z/0gk+6Qf0VGWceV5dV9/vAAxdI4BxTZPTJu6t+4cmpyZPq31lSifoOvnoe5+ed9boipWWlbt5XBrGq9xe3BipuJlB4e+iMDSzlWOn6nd5bm0sWMW41HZqWOAP6ioNki8N+iegLngzIbZq9VXG47twWrVwxvjGCHdj3hyVnr3z6KLrg4/Esfv0tEqxdfwjYrjd2xnbngrlpymtHRy3Jt4DVtfr9CSLQTlSF2c6g5LlCQlUEgDasNT8qTWB5gqJC7eNajasjvql+zk+orIMss8Tn+UOX5Y9SBYUPyFerxpIf2gYBOGK1qqoRzfVXRRi7pXg7Lv5qjzksiwnEuvRfodmjaboFomPoHV4uX3rrfxr7WYDUeEHIXTmNKuyqh4qNle1t6eLGmva7DZ5fCrKda77GzFyIwNn2pu+0YS6tqpqQy8lxVdSuuQKt8Wim/Nm9Td6lnzy9U0SCv9cZfwRRjDqXp+2NVQ0I3KLhe+nleezk8oJIRkzn+I8Fz5lqG42cVI9rLPUNjndHov2IHzTG84ECx8LUfbbVt89BQufjDe1Z/n4PVOMrcthleszgPN8hRzGmnzxuLM+Isblwe1dAX+x+piGkjdI5b5WDvrmQid4qHZWc69dd350AamiJRHw96DvGMfo79vNYmo553m1xMW3X3CM1V7i/46B61LIFapYb+vy1ubwrJjXDnJ5XF9Yy39bdxfmJ4BJ34fcGWzTh7//RK+dvCPIB/F9tsUT5Vohfynn4s30sGXOZsZy/8HhoNrDAplbmRzdHJlYW0KZW5kb2JqCgoyNSAwIG9iago8PC9UeXBlL0ZvbnREZXNjcmlwdG9yL0ZvbnROYW1lL1JKUVhDUStDTU1JQjEwL0ZsYWdzIDQvRm9udEJCb3hbLTE1IC0yNTAgMTIxNiA3NTBdL0FzY2VudCA2OTQvQ2FwSGVpZ2h0IDY4Ni9EZXNjZW50IC0xOTQvSXRhbGljQW5nbGUgLTE0L1N0ZW1WIDExMy9YSGVpZ2h0IDQ0NC9DaGFyU2V0KC9waGkpL0ZvbnRGaWxlIDI0IDAgUj4+CmVuZG9iagoKMjYgMCBvYmoKPDwvTGVuZ3RoMSAxMzczL0xlbmd0aDIgNjA5MC9MZW5ndGgzIDAvTGVuZ3RoIDcwMjkvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjajXYFVBNs+zclMTqkkUkovY0G6W5JCakxBgzYBmPkaJQSECQVJKUVUaSlQUCkJCSULiVFQFL+0+d53/f/vN93zvednbPdV1/Xff1+9xn/dWMzUVVntBNcC43CikLEwPJAdUNTGSAYLCEGBosD+PnNEVhP+F9aAP8dOMYHgUbJ/y+7OgYOxeJ1GlAs3s0QjQLq+XoCIRJAiLQ8REYeDAaKg8Fy/3JEY+SBGlA/hDPQUAyoh0bBfQD86mivQAzC1Q2Lr/KvI1AAJgiEyMnJiPwJB6oi4RgEDIoCGkKxbnAkviIM6gk0Q8MQcGzgP1IIKLhhsV7yIJC/v78YFOkjhsa4KgmKAP0RWDegKdwHjvGDOwN/jws0giLhfwYTA/ADzd0QPn+pzdAuWH8oBg7EKzwRMDjKBx/gi3KGY4D42kAzXQPgbS846i9ng78cRIB/Xw0QIgb5d7q/o38nQqD+BENhMDTSC4oKRKBcgS4ITzjwtpaBGDYAKwKEopx/O0I9fdD4eKgfFOEJdcI7/GkcCtRSNQFC8fP9PZ0PDIPwwvqI+SA8f08I+p0Gf8maKGd1NBIJR2F9AL/700Bg4DD8rQeC/qzVA4X2R+H+OrsgUM4uv0dw9vUCWaAQ3r5wXY2/PfAqwH90rnAsUAoMBsvIgYFwbyA8AOYG+p3cPNAL/scI+a3G9x+C80J7AV3wI8BDEC5w/A8A5wP1gwOxGF94CO5/G/4pASAQoDMChgU6wV0RKMB/suPVcJe/ZPzmMYgA4F0wHngQIPj3598nOzy2nNEoz8D/uP9ZLkjLWlvT2EL4z8D/NqmpoQOAOFFxGaCouBQYCIGIiwNl8IeQf2YxhiL+7gL8n1hdlAsaKPdXs/hb+lfDfn9vX+BvYggC/5nLCI1HLBwo8B+A24KlwDD8F+T/G+Z/Qv5v6P6d5f8B8P/uR8vX0/OPVeC3+f+wQpEIz8C/7Xi8+mLx2DdE4xmA+m9XS/hfdDWEOyN8kf9t1cVC8RxQRbl6/vsSET5aiAC4szECC3P7Cyp/6S1+E8wTgYIbo30Qvx8UoCgEDP4vG55VMA/8o+GDx+MfExxPmn+W1ETB0M6/2SUuJQ2EYjDQQAB+xXhJCoiD4GnoDA/4g2AgSAyFxuJDgPjxQoAuaAzg9z4l5YAg/LP0W/lHxtcBYf3Rf+R/FIL5YjB4mv0BAr6Lf8l/OA2HB8BhgOlJNOzWPffX994eV6ty+IuuDimO8a9aZgmK4qYxLb6nNGTpgi9zIucxR6rp/Z10n5c1BQ5VZrgvcJuNb8himlJNms+Czx1STEdXmwFTI8zvhp9tqtb0cFFwipqrrAVfeAffifAgbiRs0+PP9/aVpTEuZDz279YOqOmpmP0QPblqsvZSWp/yvOKjaKJFgm1E6Th/gdPTCVYeUqwoF7kQw14A7fjh0RhD3vAlt16KMCBkK1GiGGezIJ50MhH05bm5uE87Gx+bDSsX8SHDh9EbOLWNDD2WT7iy4rmicVvfkjiJz+0Edtqhk0sUMgqBiBTZV8p9xNfXXBd/brVRNgygRLRjq2Yynq1diFSGVXkRSa2tn4MP8/rC6HZwk1wVDHWvedrOn8moH795fHVJOi5cj/c6u6Li4c007j3Mgxk/bqUZbu0Dtoyq69Egam4Tai0awzehPS4g5DUOoQLEA4FcnuuI8o48gH64FKMSVU/ROYVzqoiefWXtfQ42EpG9YbtI+0JA0DoLC/tHIQ6K/VrhWA+38jEi99v+Gy2fvbeIKPY8boikrjkohz/+8Ks/FnaNJxWlfFQyNGEZmyqYm5ox8YCbsZ19iIu4hCLRoytjLT7dcTvR5kV9Whfo4KEZAzVlhtCgcnotaRgsmGwlbdWyxxXdmrKTcjHB/r7qtVMHQtYN7nPcWm1Cizi9198kKahVkHLC6Nfw/uhJuDHVnZ3VMuap5HYvhEdKg6P77sTeimN7dm2HZqWFIJp851ut5R6lu5qRy4OO2faGKON+84Qp0qaSj1AHvt2vdC+o+301nJmipySSTMiPMtXYbMxcAn0lqTZyywI6F0qaFudHjU4UfuUlQKY4Pi4VWC16pMuwjOlmNyrxc5xvhIyFAaZuzq6aP74ULA+9yqfLP3TpvfDIWJe3RtSQIXV4406AxxBNZ0DPlsrc2/HZHEabeT1pt/DdF0szim6qM9XzQx9I5enaeJPRTpN+TXNMYHir7QX3AW3BNmFnQQ8XOLV/48ohzPilWhCuh73QhUBx/rjOGRL/7Yv2k5u4LsindhXnIY3QQCtMa7pG1W2b5DLNfrHh5M+Km6kC/PZlLSDxO+0NLIINrexPv33s6V0RmN/bRu42sbk0sZFdYeA0TRIHszrOxdWbGyAPQIRHKyaMSQaP3nNGUgfpTxlyIV9xDxa/Ks7ZO5+iELb/2jDpp1rzFoDWHPilHcBd4ce5tW1VrxugStT/w/JN3jOyvtMJpYAZ9c6Ktk2pUZKotIPd6/4FY/ZfU6lOmKa6i6f80gSID0YlRUSLIuGd39+ONReRK4NM45a3MpWTNGq84d4dGZ30TxMrOclrRAvyy8gDNLd3gHyHn7MSmZMLhSTQbxersiKtx4XBOGEjsdOL2vAepeHY2JuK+RH1vbp6Z5xdABe7DzHqPD5eqMjqfPFICAVO4lRR83zGvWqTSPJw3MbovTiA4OWhfqiQf0ST8i/CA+ZnGzu8GW/yo0nkKthvHQDekKheEXxiHEhDKRMb8tm+FunLobWTM9UrfhpfkPa8OiAUKd1JqnDHXt+TmHso6M7DwJ9Vz3g0i2VptemOC9Z6Vrrru1vVYt1baNbfxneZZTkm29rTsl8+ORMutsvlg/ZY3TRWd0+b0SZThQsD5Kz52JzOKuo+DY2kZ+3S0OZ92uTUWXP95HJO2yWsWEEfuHsZgV0d+JBjlyrx9RflY4uQEfRZgUoCxY+7NNpf7AKK+qTkXj+pC0F4lUIPyM7yj0N53rcBZxideyjoHexyR+HpuELzdIfYWZchTnaHob2UEukb7Vai7LuY5bhXQ+nHSiuVtNySN8i1e5QxxbbB0tllNI/7DATh/p0lrCmfu7LUhDHjasmw9dncfIn7HX6A7MyF62+ey4NxvmwGgGtdhSOq18hm3UNw3hKW9moE5TeffhG4YGS1Liboc0OBJy27TTcemi0qE/gynBDMdFNdEG1l2vRwV9elxz5EpKDeLE+8V5xuaZjJ780S3EzF1fq8VNxA2kZGRKa3+dJ72mu7GfVxT5GqnG0uCHBmJvtQB5A0n0pfTZ3mfEXidGoYE3GTQegbed1N4oqSHulV5ZXVTVSban4jLie3+jG3SPNjSCwuW/Modkts0jQAaSTJ1uQxvybARODPmN3oKQE2PKGrIG7Lm11btNUkiGerwQAuN4jezJM/PvS62B7Ebgd+oWCfR2/TKp0ACHGlv6AOmS/rzY7aOyoAdzUeV4pl7GBHdemzWDXHWnYIByjj7CISXXpO1+98q5pIrZxzl7kDdYD2t/845BHF8W6PbbOslXKIRpxeBRzJr3M63c6cvftdkH5H58VbsnFVK6IZzc3mtO7L0p8WrnkKHrXepQQGbF01apVrk++F3J+PNdG70UzqJtyk4rvSqjIjjxQTiwZ5Z/JXeHkC1cJBHNS2Ll9XffVg1zJbaPTzVveeuKUl+gXYIYnSpKi214V4MDvHGfVtCbdsZXelfEN3Vu/Kcwtrq4fLH7zWEuYxogOMjLGHbcbYZCHZMlWxKmbDwVtHw3nIWWHF6oo73Yw6pJb5xiMLEvvBZ0T5XsjHYJ7m4lYLZ5n1uk+tbH1371jl7qaLlWBbXmq9bw3BTNQFNlqH5he9YXWZqW0ZmeC/2hd1HMR9eF/bcMEkdFwxyXhgV2PYk2DlwIDe3KvX+p2X3vIRFVusA2zO5Kn8zjyBe+rX5bJ5+YlT4FBlbn4c3caArZS8nJXFKNA9nsg0e96V126XyNK7NmfXpqEsZbk5/EnHAGpsLF+d+OnGbiBPbhz55mt3XuHepd4+28eTuNTBtLDA9PWKdLuRFtrbxyXss/6a8Ede5HfOfpwFA18Gn+va2Tg/X88B19aiW9ec7+jxqVQF7z641hLNkkAp9K2MvTU70H+P+YKOnko/j3b4+n7hBA24amNT4pjY248kU0yryoHLSjWjQCvk6IGUpVqgPRFdSIKl0viYeNDtdO81ktLSMO/qqKIEDp5c4P1fGN3+0P7P3HylSj5rZHPbh0WkV8DV1iplJ019ZVKn5Rt09TjdlqQpIiXGD4FX1iNfo0fU33zZiuJWFVdsVztR3il628FjGktfDehwdegXCa07++ktphkMRKE/DGeaS99CKFvFO32QjPpyEIL9Cc9t/0XMSjQ+c1lvMAwJ3byRauBsMxhyIB5t+SObXmxTsjQpSmyn2Z5/UKh4hKuGeUBjOnjXRrlm+57MvSRLyB7hCyohag0F42XIgLvdSdwCZZBeK+Nxev4X0m+PlLi+M2mw5ykbO1zuYkfQBYM/9OPTkw3ib8Iq4g/ruQgO5yg+c87H5D9AsjKZkSoxdYg+TZjiDU5JoroVNrR01xRCvDpT+CDd8QBQq6KCrhtCHbtx7r0VG++5M/lFS3jAX4LxS17miqCpFS0vV0PJSaFcsU+Q5HerOJ7XvE5LtP7EBrhcGEG0VrjRCwKCRXfym9nvEvJN4sdTsI1HnCfiHJ/MZ1ChO2LblVHAe20DHOnBFQ491xj3WOeTG355DAu80LpEAlDLskK555zWBBInPGKuBKFfJczUpp5fH8zcH/SZk31LITy0/CWaOiMdkdUw/VVDprGfWeO8+aTqB+/qy8PZdrTmmaExeAzsVY6q+PBA0zaie7rqTHiKSybjvQNls8lP8qAo0+446mFWhAZa7VGOYnB+PoqPWNzp6p2u7FZL7oPdWibTPd+9J/ZbjXZvZMR5o1+0xew9BwTIMK3Wm2kyN0tVF6Xfzp0a2bV4L6+MfuFNVUNnaUv76/3V76vced7xRCUsLMbzBO+xCodX3QiXazt7BxdNRfxeyjyg1XQiiOxZa7KRYlJkP1Tqyj7JJHu81zOZw3RcxHu12c2MwVS1ZktJvHuONIr89oSyJy2P95wA7ajGt9vRMYe+HofEkg4h3LO9ubzlVATFjkZtsadgo0qySLpmB/XV59NqCkuKla6b+rdpIKBTaMv17esx46kCjnoDLz6xyYnF9JoWDZQFQsjcyUq+e6IyDWp+Op66nAwzh1dEsr6YDB2s8G2O13vl7q8xzAqR2+vTt7eUMbgkFKj92OahsyGL6Qlj2VIHJTD3kjqQ36/8Orp8nZGq5V40xLXL1RFY/9Hp+5U63wyKurOlO85o80aHSk2+6NJo4CiDgY36ZoTTN5oFuqGHyayCpby+v+BFG18WyDaEFArpkKQ9IRykl9dC4h4ohNm8qYfQPD84TreTqctcRm3cv0hfa6NRpJOOO9qEhV7jdXxBgjZ0bNBdWHmkrR7PButZ0E007RRwoSd8QwWhVV5K/6okTGatT8ahbsN0n78izYdJ0Ovj8M+5gL2jS53bLBqmn9zuGZwRxSXEzNIvlZcrA7REvh2pzNYnP+nt8hRd4g+gYay1XPBdf2dA1G6emZ8RKwPNH5QCrI6y9f2Kc1JcQh+PJjE3lMESc+KgvwBrGGNr77p6LsZOF46reVMSFvCSXBNp90dkvnQ7cddrqVNKsGGr1gYivJrffvlFDUxeNMgqh9OqjCh8pb9EKpfvdt17stTZcDHWZr2TydIuM2FvAY7p/W7o2DptJTLdf4QmCip5QkE1a2QXXfbr8xkpjbrZXqGX0+TAWFvfpW3fMC72pIdVXAQyX2R+Q890V933BsUFSCORtxreOpQaPHAWck3v7N7XpTFR9FPW7KDbQ9bmGep2a4jxXtDpu29nQH02+9qSGBNSaJ/6NUQBLoH0FuHis3IGsnuOpTHbtwAqNZbqXwZ+esSJW+ss0KUla/Nt6k13H46nZt6uVdIXjqDmFNaa/SFGya//ebvw8pPlDC3NzNc5S5srVOm+ME4TusKzCdMkppLkdfNnkNzaZ8AvSruYjaij7Izt+IRbWiPXtCdLv9+8aOWSf91TXuR8dYvZKmYYFaz79tBusKwowBu0zgohjzlv8kGUGPE5eWWEf/SqV7BwOgTz9qeU62ht7p3U3Oz9TGjN8vBl34hI6UBBUTfz+8hO85Kbss39XunP/IA+6aUgggi5bkVS1QsSOfLxm5PqTjYgMrmSX3GoG3wePZUQxjmf0cT11OjFAMGpa/ReTHXQieu22+3cI26thI0Hg5lmGCbiL1fR1BQUvjazhq0kfuqvHQp/gcyj0SPMopYSuHuXGYvldYo9HZP+R2IjCT49naaLohlcsYGQ9pHquS8uCgOCkn6lzmXcyXNtHVqkCdOZW3t3t/daHacBCxITfu3HCbeicBlbHKyhPI83EeM/p2Fzm4OsOh6ui1nfZxVBA4sa1GgnHAHfDR97IYekk40a0AO3WdsvzLt8LMgbNm5GEWS3yGrqeN+oakurKddx9/SCGC7h9teZbpQQnx8IxzmUbw1n0kyrthB26JR07JiH0e4D6bq1ahz3I5vSq7yAM16MNNcS5eqxItBy2GxpINnUo4yJ54Uz7v7LgPNrYvRn04NSa5QfsIuFyMGZLc+BdV+LMhiWKb5LFNQzoCblQ8kpIZIx9EobNrU2zoF+24VlZou+kFIdJeB8GMQqXC28CNW8StWXCukjXjjaVVZX3XOqvUoRYHUTAv8gvVQcPiZnYrBecMUTaqzlqJFkF0sWknt1yeZnymvB5w9lvSJL7sbQ+H9tGBQSqORpvnuj0rdQvl+I+Cnmie+O6CBFvGJWWS0PRl0N5eM6wXF0by9n0HXseBj1urxCM2hGwen1UCWU8kdg0HTMEocww2v8f5zLoOGn47MgLcnU5I2daMVG6efoV2XPWfZPnk3QVHG5jA86pCZbb3aArXTK+SWrhQ1ndYix/tuswJGEjgcT5AIhJ57hP7pn3kJD1You7ANgKRIonHAZLstp+Ec6uKvsSRU0+qEuI2TFvWTZlpmOgditkcJi1J2iWIdwoLv8YZquQaTJ5HligZvgRpjR0FDZLPNyhb4SJbgWW+KwTC3keLuUXF7qLWWc4Vbuk+WQlODjVRujZoven0mb13nnqU0+ttCqV2fk6rYBGkPX0Bw/KYHBuSTxS3z6EEZUb3CAXE5T7PaE3LNFsn0c1Di51ukKiz4LyIUeOUrKKgJ+qHzuIudVhpRNFpUOorMY6mN1JfpGlyW2ru1cuEHzIJybXVVv/Sq/JIXC7EhomefYJKOD+MB2mmWte0Wzs+HtrjbuFYL4VbNZJLyco5Onq2WeclixEElYIZcaD/vh0u8UfD9GeZ5qNb0OYM1lQqrSHkVkl334hs1Y3K0Y9MlyM1LQ6rvfbFuqNaD/nHh/Wrg99RZKP2dersEgooMxoUqIqdKxSTQRQhUu/Iq4Yz8ze5e1yr1n5MOszv4PS6xtws+ddyP72u16US6ebFurrZuqj/ddDlyUoFIa6nR85dKNS56uya0X6XVCkrugAiHGLM5lPsMFjsqSX8glZz6ymtQyPgZwAgl8bdJTBgr9fF4VSy3AseMvEWv79bGtVe6yal9bdphktuMHu5fbGcGpftHLUTPikDbBh5S5F/fznFukScRktJo81NdACwSQKT0p5+w1VniOdteruFP2KO/IqozGcO5FAr9Ic4759vlco97hjWAV2xZ+4ndk0XB1hy2lLkY+q0NZmNp+w00XHFVxHirP5NprG6N3GArTmoeovJIQ05ZkyByZWhD12tfHLA4jOQmfnqx3rovSjpFrFh16uK8Nb35Gojx4HnF8kip1PwKJJ4Q+X3Z68PBQs+q+3I9Y3g6tDKT1bPl6aLCRhteLTHNOc2kb/u9nIzoUMLrzHqx7xX6QRF7OjO1VoFAaXQ0I3MRZLGfKdTf7XaFE1wRoAfZVcnqyYjuFQH/u/KV9TRjlooTTLr8auwpfhaFz3RafrMCmT+oD4/eWsBLryz158fRRoxv73vQkg58lsw6T+QoAZXes/Wo63+nUkTaymAEj2bQxlMLKDyvLpftXlJZ8cHs36qvKVaitguipVs5e864EMOjoCGvwJ/jZhFreTlS+Qy7RI0FsRKl1fywiR26EkCwfcJeHiqe5FoN8Ds+JzdzMGsBNjf+SMOBml3m47prztLcm8+2mKYmjib7sK27b472dmfRwF7DbYf4rYLhC1aUsU8F96sCoqXcAudgB27fG8ydbGtGN9i96IQZzkA/3bO/zEdBVq7dqOe3+8DQ0IQxKFONuGlgq2NOdfUlQLdvg4kdVKTo9tEDEP5NbfDtiTM38ziMSFp3yWWsW4XYvvRAzwHz/a6RXqx6bRHRZv/X9C2ihD9WXvE6SWiEzE2uDJjVjh7uROpYkagzdJq4ua0DHvVbOUA76sqStuwEfZokfgkiIAr2WASl++QjKBqXsILaA9wxTvau+IwNe9t2tKo95ff1HFCSXnehEriCFQiq8XnTeN0rBNbsc5GuGx6q4GOUvuNIUiHE5OvP01EYxsJY9x1AurdJPsftgmiSl2BLMRLssmPrpWBwCnhAtXDp+0OKlmV9tS8YNETxUsJgrsyj2gYcJcY+gX+l3jc6WCHg4VoefvqpHhhJXyx8vR4F7rnjO45LSFgclpEVjGD0rx5VZIvamo+wSiagmCHve/LgRHwv50TioK2Zm+Nj2dgr81S4LkhKdVsO+sr3Bu/9x1jQ/Ley03Evs7sqOxSte91BeWmWQtYA8sd3kxLwU3+nnON6BnQ4on/QxjLW9yEc0a3TrIv+bkNL707umMpwZuHiPUqTMFbT+A0pVisGbV0caYq+hZSaSl+eydcIqWSJZB64P2QQ15P2YOJh5Qs7XPyLxiNV2S2daLoxhaWFtv1CCtOKlnWbvPQJL8SNHqCER8xDzDeLLCbiU7/bj+7pLRKS6iMk2ZU/7U/4dszRKq/3ub0IjvCFtpYps99rBjw7jU3aNe5PeWfmRWJoJWSeGpWJDlvmrbJ0zySXZG44Nwpiz4PNfGxd5G0zZW0Btr4iLa7ad2XW2/djb2Fch/YN6ij5C9ENMMSs0OkpK+Rw5yvlsNxv5IlB+Zx8ZKaI4e+VuyDK2yZ69mPELTuKRnfWKNCfayML4QoK8BR2JFTZSr02/1e5UsS5YSrxWczA5TCzFs/KDaG7wV/0n1wdx+0cuA1mbEYLtLJFEzea53Z+qb+AOt4o7uPNCy/TCCMMUjrUUHj379MQh4RMMJgPDbajYZUU0hu1Fs6y8hoQdMVJUbdB3JHW7WzN495+6FnSIrkdCiDwcdgdNU+OQn+zfuVIEtC7Rsb/sEI0kQ0RFJX5630tnt/A/xzGBUAplbmRzdHJlYW0KZW5kb2JqCgoyNyAwIG9iago8PC9UeXBlL0ZvbnREZXNjcmlwdG9yL0ZvbnROYW1lL0ZZR0VQVStDTVI3L0ZsYWdzIDQvRm9udEJCb3hbLTI3IC0yNTAgMTEyMiA3NTBdL0FzY2VudCA2OTQvQ2FwSGVpZ2h0IDY4My9EZXNjZW50IC0xOTQvSXRhbGljQW5nbGUgMC9TdGVtViA3OS9YSGVpZ2h0IDQzMS9DaGFyU2V0KC9vbmUvdHdvKS9Gb250RmlsZSAyNiAwIFI+PgplbmRvYmoKCjI4IDAgb2JqCjw8L0xlbmd0aDEgMTYzMC9MZW5ndGgyIDg4NTYvTGVuZ3RoMyAwL0xlbmd0aCA5Njg2L0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42q13VVRc65YuHtyDQwp3d3d3J7hUAYUUUgXBJRBcAyG4BAlOcIJLcA9OcIJrgOByyd59+vQ4t/ul+zysMdY/5ZvyzX+useiptXTZpYEu1iAFFwiMnZuDSwSgAXa29oDquDhruAirseuA7DwAz3J+dHp6WXeQFQzsApGzgoFEAIYgIEAOZAPg4QFwCwsLo9MDZF1cvd3BdvYwAJO+jiEzKyvbPyV/TADW3v/QPHtCwXYQAMPziyfIycXVGQSBPUP8rx11QSAAzB4EsAU7gQCymlqvlTUUAUyKGvoARRAE5G7lBNDysHYC2wDUwDYgCBTEDLB1cQc4/X0A2LhAgOA/pUE5nrGkoQArANQVZAN+dgN52YBc/6jYAK4gd2cwFPr8DgBDAXbuVhDYcw9gLgAwxMbJA/gngWe5rctfCbm6uzxbOD/rnsG0XKAwqI072BUGeI6qJafwd54weyvYn9hQ8LMa4GL7bAl0sfH4U9JfumeYZy3MCgyBAmAgL9ifWNYgABAMdXWy8n6O/Qzm6g7+Kw0PKBhi988M2ADuIDsrd6ATCAp9hnnG/tOdf9YJ+C/VW7m6Onn/5e3yl9V/5gCGQUFOthzo3DzPMW1gz7HtwBB0zj+zogyxdQFwc/0tB3q4/kPnCXL/q0FMf2aG+TkJK6ALxMkbAATZonNquMCeQwKY/ncsc/z7SP43UPxvIfjfQu//jdx/5ei/XOL/633+V2gFDycnDSvn5wH4e8cAnpeMFQTwvGcAaoA/i8bJyv3/87FyBjt5/09e/2ptCPo73f8BTBlm9dwWaYjdMzVcHFx/C8FQBbAXCKgFhtnYA2ytnJ579pdcHwIEuTuBIaBnbv9qK4Cdm4vrX3R69mAbR8gfEvj/VoEgwH+t4Jmuv/LnlFVSUzPSZP1vFuxfhlrPgwDT83Z9zu0/qlF3Af7n4Q+MjIyLF8CXnVtACMDOI8T9fP+eExLm4fP/b0L+BcT9z7O6Fcwd7AUwea6bi/uv6v/j+efJ7F9g5CE2LsA/o6MLs4IAn6ftPwV/1DYe7u7PJP+1AJ6r/sf5r7kHgbxANugLsy42oqEOqRlpsC/EOX0jcibdndyIfe9cP9fqFXwKqnTpCEyNWBMus7yvesdRNyby+NV7Zt/14acKy9ZAJ5ETY0cK6DiPwp+WuesT3jJDiyDr1ltO889YaQeGMb4n02qrSMYCXAZb6yPaOuZF9yiUYy287qgnV8xBtJ6fggjpLl2xA2w+1sS/bMWtg8P/kr9/wJC0e3XJ+G2wv6+34xdy109y1ux4NHpRK+KAD/vUyTBvS/eLWptH5FtPQWj5TGajYSVekv4bH/K7WY9XdL/j1gi40454qeyepOE3uaRmreNV3xyHh2HE8RS8l2B7NSQ7rqdiXt06q3wwL7B4WCMhkuqYMS8cB8bYroueVUylLeBfecQzYJJS+jadYRyWCFQy4BLCTdN+bRAtPi7IV00mSS8vgR0t9SVosDR5Xaow1rwF5k+FKt4OV6GX2lOddaDF3icORmSP5d5+E3XhJsYlJfXaIYzlIObyxa1OCV+c5IYYGULKch2RTOmoQ/n3vgXkF5Kp9XFteFVvVI836XlvScPxlJad616JxCjn0J/7nX8wb+wwaWtPled/izUlaTm+012nWrSO6l3b91qp/QiuWBVNIk4jN4Dvg/HBA/a0dVVvXR2bSfSu6VoZeWazTEpGR5TARrIoZQbg8oSPaIPBU1I/L2UIK8wryhF7Kq73C77KIPxvC047Lqc9lUojtBqAaItxNImJbc11XpS8M0K89fx6oNr96NIL2TsEg0CE5LI3S7lfXaMZ6F030fw8PTNmEnJzKl7SbrZRzTyEenTW+36AJ349WWjqWpvmujTuiZL5IyXBvsDaccCmktIwBQmeQG9Uok27XoW8xCvH00vPceVSLVN72AWkRm8YI6rqx9pRoQikLTPqDVSqKVTLkqvgd8Z1Dg4rtnjnVQ01wL309ApxJeT+/UmLVxpOC9AgfGGEK4dzLn1UYHhdQUOAHMULhgfqkFiEZm9oS6EgAHM1FgOQmqqOLt9rsudW3Mj9POaD8EItIF5gIr71GGnvs/gfdhJdDqxoEofaBVa4XE/r01158hCJCmRy+EENs+w9tXem5+RNW3Lb4WcbJTnzYcbTGl+ZZbGn0jtTzVVMhTiIStkhPaLCLntAbrolo8AVtKl5u72TFeXukGW5B94vqgX7o0fBtTtTV51ZBsZA/HKu+7jg9gjqEkQSLcMMhLFHK9M4PxqrzwHQ30IcRpVEcLKFK/efFbGLWBPWGHBKf5f4uOt9SWQh8RljLndYLcj0d+EfLUuq4NHnFhQQ/XS61PwgdRt/+0bxIKOechSembwTyvuS+8fSvn+NWjoiwmCkAwXbBCnZfDTvxBd+Vn6npNSABStBwDjrZjWwryBfAOOCIjNuve9c/7V3LE25Jk1NyymCSgYjBzOf40cjKb2Z35TuUFUOnGHkr6OBP89umNCKICzebSbqvMffO6c8Wjx6G35bpY1QyYTnB/vvbmm63cpPaaaS0crWpDtIG++IDHivCwORsgGtlojAU9Q8UTyCU728OLyOgVO7QBi0ZeA6dUI+a6bo+HxwyHRROnS2v+vjdG4NbTVJGhHr5YUlVsn6N6XVRHVG2wpv0QlxBUbUxXhT5ktk/HuhNOLyKz65k3S+cZEH0KI8uy+wk4wDZ0SpshaUV+8O0UYhkmb1tflJXc4WyvXwUixcLx5nqb9KZUHAaJpoAMKlFOpNf5auo1CLeURI1B4oEbJD5zO2IxNFOxGJ8du1gC47osGHFNEls/hKXO/s9+ENKSv2qCm0oq0AEsZS2YI043U7DfXBC3Jf3Ou/L7naNxZ0CIqrFfu6jSwuIvm5zWz80H6pXFCtN15XGzJKMMsHzNAzoEcd9V5V3k5tAhMDJx+uaBfItkYt7OlazyNLCVBFtRP1PhSWxBVnXofN5sSZftT6NrgDkgc7lQfJENhxZalyin9QDOziWEjTTTuwfZtel65gnC9q7kvmICU2aHQXCkcnxHF9GkrWNgxUJCsMjbCGN4CGEdtToduq04R1zWIGkH3yJDszmaDQIkRbQlMOehQ2/22duCV+XpGSOE1TD7c6Eb2HrVp8UE0PmKMDhoT/ek1QGenXqdTQilKgLj/JPMlj3YC6HDZ8J87lJHBD/pMn1cfqHpvyppvSx7qbqOzxhgmx1rrAeR5aldg6Zn30/e2A+ZhJvzTVhxirAQJSYuBgc3T/6JbdayeOK0QlnVEzswn5J7H8iF0pEo1odO/YGdbv6BLU+BeKwe5VH9vygRA136m9TIsI9aghtde5dWy515VZg6/JaGDDIeR4TcQ0HH5HhlBccy3pCmHIevwN/a2W5qbbAi/3sizmTPV1k4WDGtX70b7Xj8R1L6uRD8/TKk73gYdM1/nzSjaN8zfmbVTEXF/kwZG8o2xMyDJJuV1xcBYTuh8ZG6a3ygEkc/TtwW7wjq+MTuxjs1T6EKBZ5yZcrsJdGKw3sK9Q9ZzGVBZ96V8eMKYraYa86FbgIqWoX+kMsRmMje5HhU8CbQPnVqFo+i3Ge++PZl0mXSYNKLpSLOu4K/SVpKjXVpgM0sO6NAql2SGBwr/eVCQvQwW7tPxmjp3jP3OVkNftVE7etbEzHf+61e+lhUdBvS3EVufpN0DGLD22VKDapWVO2mGO1ubKKshVTpdEw/v1ebTtA8W2h2Kfmo9/B/ncLro+oVu7k1oHFwdkjBQNSORtjsFauRbGKCjGxoD5463+LjVV9HhJgLDcD8kiX9IqFVVYLmYjYTXefPFjWDulurLNVzDCebF82pxELZe4LyxClEFcUv7ujY4q1krxlw4bx1KV+VfmXiUXfkkQBzZ5QNIPGe71L+b+ZXLSNuc2jLqmygC/Gra5KbfvLyFqSFiBD+92Ta8zXGqTg234sUNwCidkedludxo972c934jm97gHdpBIrInKUwtf7EyCfsXtmhTVTewPOz5NLLwmZE8uSkTBxB00PHSXTjibXF06Ihg1tW4VOJKmx0KVXPuU6eIHliemHamPOTh+O5Vyll/L6BxKtM++KufmHW6coIdtMfOeU5sNPSQt88VYY36gawwpB2vnI8zKhtsyy3mSm0fX8JMCtx4Pj+f7RUmkCSFlmwvkSwFJbs1GawIRQFC75KvaPUc0y+Kv50vr8APo5eZeBrdsMbiXDeNBkfFlqhWPe0eICKTraMI6Fp9Gs/lT42eajFSNvpc45oHx4OGkCcEZtMWisY/lKSOcVcKRsMOjTGVc6jjsV/TSgvNENa88rQIR8lF4oPOzXznDPubYIToxC61UWc2ZLfokZ8YtEgt+YMB14DLRrgslIoUmFtdqGMoLZ3WV3AJwhKmOhNK/5SQGzidSBKEq3rAGaJr15FVNCx2jdlRkVMSsfKsR+TgR1A0k5d5K4XWNLsvr7BVTGrl9oH0/QNx0dWvr0i6Any4gnbn4OcWXjreh7Y11rP8gDbVsHMVLBSwH1A/9rYW4j5LiuRy9QmoaWkaPI+aIsrXYRGYf3G/u1ygb57Pgyl4RLo02azC89QzcrpCXiBvx/YofL7X6y0h7/XzBNfmIjfpQi0ISWReAb6t9vTrMgxfXrRkvBfvqRNw3Vb01Ry+VFK8HoBxYM2uYhOZRS+quPoyko6BGy4wo3m4ovzAUY/Ox1zThTYweXrI6EFxsmixinhEotzhkom2dDu/Y3fElRjMXnupVIuj0qesvk5wVUPMvi2Svhdf5Pp3VWqVmjRwURaOxq1uhoZdgQT8mFu2knYsXRcK9rP0lzWql1zT550KQpO3tHf8UZJHakhCLxWz5VyqjKX7zLlYx9XEPkmHt4hru0F6LT4j7kwcloN6kpHy6oWAv1DEr+u1W/x2u87n1qAj/x1iHgUwzfzwzALwuQ0udsTEuxvAuXTphj69er9psVgWLKXUILjeGBkxwYZJKv63CyoaPfC0qu81O87NWEf0DYu+KbmjldUN/72KDCo54M7z9A/WNRmZmfxtXv0TgSwpTEPLKcOn0MWYjSla2eNTTmw1nCjlq9m2flKFsocdfVfzfDF/vzVHNLyWL03zk0TdCZXu5XddMPylpRmpyB/uozZhK1Bo4rX4vnKnQJeOiecUCU407SvJolpZDFbG99tRK2CndygrSrcQo/iE6zNIpNX+JdTdd3biGRHUZVV+VkexyI2Dpp7VJtrhWZ3c+ejq6TgPXwDmjy5/KCY/Hsc1VfEzEbaa52ngpUfvy22Y3T2gjetf7ix9B6S/pdc4m2sx5icIvQxi2e9Ozg2ZJcpw1lwEaSwVX53gEcx3qJquzzWtiU/oLwTeUb6CCqMS76+zYEQxuk6r8yRGsyoRKY0VN8SNgqRQ35Etto+5yqmPWidC+deyY31u3dWAJ6Z3P2VDUXuynaB0e7R/c+67YyPDSL2YhO1ZiXPyuP3yuvvNkUeeTmjPK+TALwoWTLpxywW+H8KUvo3JJhYhSEbcyaZZFrPpfxC+ThtSYnmine0pYp47XYfld+WLCkdUKDeJH9e8jl+L0dj89GI3ieLdYm0y/CxJ1yH1kqGi2FfI0jjpgBfeBGhLwHPbdtYrpZLJKatfvDQlcz9TfYiXDUdzV70FCX9Qr62mmpiYTHjnTLHeGTWvPrQ5nd8VqifG1/i4UMy26zU6c/xTjlpOkpJWJTTwrKuxpcsITlwCq9+OlWJV8aH4UY5EPC3VHd7u92xhA065RKR39xVzTEioijEJ7q6VdOydbdbKAnp5+uLSXJuaJX7CnMlzkvR3g5Hbx5WabhpUKT5mdPjRADoWBEykbLAupn/eXHhjR2sDUVSg9s/Alxf5lvO/jcdVFuM1Oq1GS5haV6mi7PDjNF7bq24rcmE6VcnF5L8H4cHHT5BXhPdKmBY+/qpAwiyKVNp3EYg7c+Enc16AeWp3jx+5HKMHkaVPcBP3Mm3Vshz7tmZHtKQn+/VtikEcVp5rfIx8/MtFbZcpG+7q4LjdnDITFhjr5GK3TIJvAMz3ZOsMpjx4UjtJorQFPNIpamH2VbeaT/ms5FU3YkEo1WTxyVtj2PnVhiOerN28oC2HbCNuYCek93ldPN5Rg95v0QFSzrEM+hdr0wGs0hNIHVkuSZZSgOhHjnQQMWQSfa6SQrsEmy0aps7oZkTCDuv12rg9VbPeHcIG8tuoVqeu8ReTD1qwJgrI0ds0Q/FUKqk+XlD3SfUrG8Ja8H/ATDLkIX8+uSz/ek38oWW+hLGXQIptXZ6PvCjKFeNE+RjX1MHrpPrQUo/WBoyMbMxIMq8LBmRWPKUxsxvImVgNHlRuL3WQzP3LR7dNJWPQSIlTpZOmw7MxRhsvFUGzyaGTx1Qks+/EKcHYetWJ+eBuLPozYeSXGzaSrbZy4WamIJE2nGQjvkX9U4gvrnB4Z4gVWbCKRpKfxEfhvsyZwwrn1hxSVopCvzG4N38DRfO7MtvQh/RBXJSJ9aHgsv4PRRC0w/j5OXVFtEqcp3ocIM6FIkUrSLCi7kIZfcR/6ZitSWMLTFhzqFgEhi3UgbGp9GYVIM46UGC7EXzbj1r9F5mTXfBj/rsSjnEgEKPkk8Ma5mXcDY8/D5McA9IvJCbNTb2mYiN+JEmeBMtry2KmOgBlWfXBCVvwGLVeHIee1L9x6jIE7fZ6T2hzky7uhZLnSSpmJS00rKnFGznN4y0g7IwqhBBNesXE+dRm9+qntoYAPDD/fh0PsjzzGr9QE98inWBWQR9dsy57G9oviSL79pC+pyGlfEoqNXemIKxjewTJMaP724AS9L3b3mL5/0TQkN+ItoojtR6M6yoQm48QYNWMfqmxQMICPpUdUHP2bOEA5IfjIaiP3aKQ3rwStOSZzrX0LNUPLzww7qTPoSkHPH+y/TqIWqu+E5Nl6jRrNUZyFqRjt/7bbjDcpVi3XhwbXzBQyNi3QXlPQLhAcHP8WA45H3dzF+UVRZ6aktbRMcGu9WIFDsNWMQPcEPBlHG+qV2u7GZM83HHYorgL+rVGIiMYt0z7Hirb/0iwEPfCwzHP3yh2Ew6nrjJACYJ27WBsreyQtUDWRpZxXRjI2nAZEIuPPou7irQ1x6OQeCAuqKmiOT40RsCvA2Y39/pl9cuPAxv/qptDGRHe4NlIv3lVHzDc8llJWBKaVGKIi5juzCL9Q2Kx5mICE29wh/XZ38heMaMwo7gOE7rt6FfdKKpi5shsuS+jphbkkbzTfi/nD7okfMo8a5Ntu5xHzJqMaOpsqA3j+I1hJMwSbJ0nmDk4lESt0/LtbBv7fU8suStmHAYOt/oO6IHBfmK/jyjvE/tpPXOgy3mVv7VHNqoUx5QoxllvgwcHrK0DNxDAAIa2hLhzbp0PbWYxJb6DvpQIsdu6r6Ait+5hGIdp5FEo/3ClcRF4aUSG1ZdayKzscNXvt9GFBjJFPi3mMpyDpi/qL1sSS1U4xydWQOcjwaBQIAbyUwnsYhf160A1norIEN+gcfnFsW9EVq4L9c5gijKVaS6TxbA6J/kXHlczOZ1prDoY9WahskY7IvGvwuXDw2a0W6aBA9KGnQJTF17vfEk/dV4/wlUzrdMIWPqHj2bamajW1owXAqMdUNr+IBBunlYcjsVyMsF7/E/3raWUEQ8jxIvyRNU/93M8P6THtBRLneryN6G3FSKNBKUTtsjL0csfeScond235ORpyrxv7Ejuc7yqdSt9NeVvSIkOquWdNzT5p9AQ7jZmThj8Ef4mCLU8DUIyy0op87suBHEzEwLGbGKIJRguUIN24aCQx1KBZjE9vgLrBmcVsE7uWhNWVRFnZNdSH6A8Pq/LvzlR6vqdiS3rrnnnslvTpJ+0Fzrqh17nFlxY4SnqyzqVVshZm2Jg5HJqjFKvf9rxwDBMPMwsTQDLUsEOuyMYmdT84C1bynM2hoBdh6dNrdEQUvDt8aSGmeGpRGzPjctp/Pvez7WN4QCpxfOajT9/UjkPyEomOvdMX6S0FKRs/URINa8yYHCY+tWn9ibnfhT89BMXqrcDSgt+0X3dgU3AFCzIETTntKRSt1DX7BBqb174HiwESNTxwnWtOkhiaM96976oQOn5CAY28lMWYUkBSevWR5JGa62eun4Coddyv8JDQ1mD2aity02Lme5dz+oO7Qi7nYVLca+2HyStfvy9BrGoyp2mjsZSQMcIlqHINQREnedcbGFkzTdGmLIlFJMS4Bx0/xrDiZ7qVvEqT4Tf+Fh02HPhEQDGe+AQ7C+XGdqsOfujtp2yreDXe2IAfDyFQi/I3Y/zjhjyd376ehnbOkyVyTGaG7pfupcIv936N9i3cW/eyfSGDrBKPkhNCEfFxM5V0jq1quFXqHkeG6SrwfoiT069qQSzvbc3rhuF586521wLv+zFTqaSL0gg9RlWSA+tQxAUFc+qgAnQK2pK7zshA+Lla0jsKv3driLhNJbQdgn2r173ln6xOT9q/2kcUyTBnSisXVmpolme9QLAj31m45ywWdRf8sUvLtdo02GVaS5uWLCE5q1nf3BEGjoo4t6ZpqcRrQPU8wotXH0MIKUbi3kgP+JaIEeIylN2EnfmeMNDkZgRLTTgURf30+UfWLqost6fxdnacFkcVGQnd2M/uYxadUVeKyXX7NKC7DKMJEXUfZ5FN/Ggznw7DRlHMnGX9TUETGvzxzOlMnm3n7HIw8K3MdIFLYUc+mBuF+Juq37lRXkxfY0BmjpIRYxkubxFDXhNBtP449c3J6Zw/AScC14+cCe3jWZ0jH35eiaQFSx47WPfmLHO6y5WFsQjh6ukRGwZbt0DF0AsGxGVyEjYuhDKSTUcKJ6n5va2flIjYPgYGGg/yuT7rhFWgiIV2Q2DeKzDVNysF/j7u8RbqguDqwfDM4nkhj6rUu1fbDyu/yxnFRIxnAiqsi2RepC68nGlJ2/8GAgxU+X8LLrqKgGbEynQN9I637/DP2V58P9lC52mOgrPP2BxN1HibyTHd6U1bffPo6WjCThHZNnbJqM84qvG1ncfD593TIGeg8SpXumaAAVFaqA3UgYw+S7ODYd/0QA/v3q3X57NkaSXuIquqt76Fh1jWpGIPXYLAkdyYPPMCWl32F2+uOe2EC0NatbbO9hdCnwfuh31GXV/0lz5BerD7Nw+EcqTS7QUUGSn274JoV4iQHqT79fbD3oWfm3URgRnHm2nLPTPEVAmu+jKMQkpI6BUP9HsSR6SRlTETvKMZizHObAitnG8IeFzfwH7AHbxH/W4dvPm595EOaQ4W9HSqVBZtHaq9yygtjt2621TkL0I7hk+ZdsOkfLLmhXPZxlk+mHLn7ndK3Lrxj3suVYWyHadBDfs5FBaWyj4bjskAD8fur2EwXfiU8+PlcdGmSoPjhPHe8e5EUdTE6hsGqQ/Bsw8ecUZz5nIFru7fwZali1y2uGm1Sjkdrqhv38TCmjvdo8Pq4D4tTNe/4K9afR9EIcappZzHZcGsGKpSLmcB+Z6WK1QdpzMrVibDb3vUpKdJr2mo+4tYu+P9ctZT8II4Orn7bpgRn3W1CCJCxQEJfvNY8OuVzViqMf1GD7QBlxQiRK0H8rE2D7ezfIz9NVm3frlW/7M86vKmT/ey5ZaCMU3MmlHCrJW8CmUwol7NYAqjNhExcsV9At0315AR/DqWL7xk2pMHqjMFNksDGhxzU/t1EGvZynfhS2zvFBe06BcaiZXj7kHX9VNBMvPOQvXmAyNJHh03b9dz7ff6qIo9Lx4/s2fhuRS3lbksmVC+EqhndFzaFy7Fi1tM4Pwl3xIa9JHtdEXaOYxH2iMWy7wEPso3tSyFlW8w6IXRrLYlj5Hg9e3i+IxzS86HfIGwsOSkJ8wfBH71i0ZBvcrIZa3h0uon5q7kS547X12xW+rV908RM+64jdvVy74E+jbI8jRLb4UeF+JYXfQjRVozFtwrrl064pIcRA7x4MAGSRF6bRUXYy4+tH/cvk/GyOCEOxF4cZJFc1C1fWtz1Q55n8FEv9M/mCq/FRunjXPIWquaN1F92rKiRr25hBsCat+AWtd81YN99MbINWdaqp9o+SWqZ3LtRHuvcp/4KVEGS8rS84HSH96lVud+7SdKxqshtWT6hf3Guq1G+33VVympgu5ovpunbjT6lmiiXrkrX/Eyvly+xDaSQK+nYM/cT1Byaj/bv/9U+tZrJ6kr/3Dap8bug75yuHJvTzFW7+ZY+bTyybvZOKL6SvSRBY+mh3huHncS0YcLEl04bff0eR+WZGrjx9behUkiInBD+EG8Z9MVebYwqm9+urCZkkooysBtQGh+G0OvAGBdAco2S7p7PauYS/kdHxcCLI43ttNtyXjnS3eIVzUp/n7UP/wKzB14Wmq1vjr2YXWIveJzx74fDO1sabajqhA2kNEH4Lmw7C6vOCP5aGjAmqXlhcYzUBxVPdTZc9bhLXi99dp5SsJ6FPBq1gxeiFGtwgxV8asBbzvNVrrEJz846q/fMyPb8KnARyu9HjXBlumthXF7WOYLh/gFUaKyFtq/bwMFyKAyaYvMejUenHqd6m3vPkegiCy195KCWG7ygofyL9U5gGXU394i9qGODLI9vcVstbAT46EpQqSyT8TKh9YyCdZqPvTW+7tqitTyEdyFnpuIwRGhpjup2+3DaeVLI2Sec5suDijxoeSVU17BR3x0Vx5A667o/IxjlJ/iv+GSdOCHS9qUFyvNXzK24u1wBjWYqMBpPjO0qPf6Lr6e7/1bz0arziKz4hIer8LkbZ1e9Pguxs77JNKU7ZXbhRn++ijC9IKcbcCJA5mNXqG9o/CHjy7zhW5zTDD9S6+XrBzt1fqjeLX77TuO8XjDmHFxKbQd0nD5gfEkMHXfiHfjb5sHTPHgetSzmB6YE2NqjktDl5PTp8tZeOadqUPTFD0peV/S6JDvOZLdkAjpU4+VMZscfm7xD0gTD4sMkpMFIjnUiaUafn95E4viKlMXOkUe7T34gYU5XEiPYyvF/3cIXSVE1Aa+h/D6RJHutEvr3WGNO5Jw4PJQupD11RFJE9G1FkNM5y1LpoDGOW8sZIFwzp6Lj2NXuOvwRiOiksX8c5wPd5kcT5qhBG48A7+vJO6PljsJs2JqrDJlwS0HUEiJZjFbuZd0Tix8wm1gJ0UdWieVj5dn+l19SLWhexkKjnEXwnQ24vBs1DI6hQ9yojpSgCIObz/BY6ASZwf8VmPXfAjiwCT6Zxw1CY55/j5+7JOh7tfkauGxi4GvrDUs9fsn1mSThW3qhCLgK3I8zeHgHL63HUIPRUNQmR8xSNew/RvHfr2Me4yR3cjNVekMeco1z1vroplA73EkjX8sfdCfF9pAX6JRsYnLiW5AygpoxwtTEofa6inGJihdIESDY9QW3kd0u9bYVfCIvTQAiszkXMgW6iG93mnniGjY1libUKdlxZVrGbmBkkiZZ9wS5RSNuD3ZDnHFqt9+WXdaj7EPJK7uqcrZVNAUQ3lY6BRHJ7S6FFywDmGqVhxVl2YFKQPVtJBWMPS9kWln0i6i+RnSwT0r5zuAEluiskm/SSO3hUFh7Vw8JwPsJDnGDdTBp6Yhc925ChBrsNqPvNGIX+yPDv4I6V/8LQaiiAJxF0vqrRq12uqgW7eaCbf80303YP/xgrdIj1Yua2KaTfBqqNUnsl5l/p3FcVwEgT3B/H4KEyVnpb+4sNA1Kg6MY2hSiFyz3Ym534VfkLPXGKtf4Zm9TJp8/nZPi50+bt1gGZfsjiP3JSy8zsuLuQ0M5ePTPzC2xoLvdsbA37P4Zr3Uu8mUyieUrqcijGivlKTq/LU0EUDt0YvQBAkjQ+c5ptXVMMfZxyk6OeA7ejyhMfTLyRZcoScjalpl0hrDqm8p8S4JeLyZ3LM/SY81QOZ63YE1/G7koBufRUQRHXwjlZ1Z5Qgnu2jltzSDVILyeH1NtPiEy6YvQMZcvEVGE1UyBs3iltBqhio1kZmQ30cUtnGHRxYF24xMkL9jNPYvWVvndQlJeep7ybP0zWrVURZcDUfy60SvHzXSlrC/atBXz8+h69M5DeXxp2lMSRtemZMEeBWDydlbeMX8qpg92xXFmxgSlnbLBU7T/oUJIWdFYEe38MlNbsQAfXABq1omEE8VWSpRVFeDIhKNOif7ez+N7SD7BgfKo7YOqPmhHciWwoe3dWnu8N3LRT5Bod5Pv9LsW6c3XFDzFN2vtxUTUUndQRWFXG5oIY4mg7mBmLzdPcts3ECc9IRBTLDUsZCz/eEXLX0h2Ug8bfWO5XeqSXLJTOczhU+YZibqUYcks4pFi1mMhxeLxMdgHDHZn+J5c8TYZNVjj7IHuhofe4C0QK7Bvv73DHyv+6Axhm0XdcdSSCXch6uEOAt0WQarfs24cWsS7sWLIiPopNXC7QWedxaOBdUk3DvJzLi1zGb6bEVf9hv8907JOAUsgnb1y2uoeFcojax/ILZJ7o++N1Fg4rnJESFa6355U9H09PIk9qZJmxF9Q4cNudgwzzS6mwaOr+/Gu56p+YVpyxzIF4CZSNRyvURj8l5QidOSSqxg2YTyMAeNoLBQzmSriUBi5Gr3CukuzvZrCjf6rrNOMo/+LCdm6CPpUIrBD4ZD4sHzql/NJ1IA9HUcJaHavnNXWd0fMx0N9ZOdlEYpj5vftQLT0yozxXVt1GfVI5GqRv0/w6OvTMyKuDftpnfpIpc0rGwIc7/gaS1F9DbOJGmTVoqWEEDrxdqc6w9sau5uuLgNsGTR1F4icSREnPuYndB2P1R6yE/L7OAN7GOqKknL/ZSKXHjnmh1v9mbqET/yrm7AjBZzNCOhKJtZu/VgJ6Unth8tSgsxvr7LoSUvvoVNsBMIZm/LF/z4hBE2wRWPGAi0f1vjY4ZrYvaqiilrfwv3PKE057GzaZc1ILY5rCzLMSCNm0K7+BLu8lQnyoLOovdzMc9R9QxG6y//WDgn//8HTdBN8wplbmRzdHJlYW0KZW5kb2JqCgoyOSAwIG9iago8PC9UeXBlL0ZvbnREZXNjcmlwdG9yL0ZvbnROYW1lL0NITExYTytOaW1idXNSb21ObzlMLVJlZ3UvRmxhZ3MgNC9Gb250QkJveFstMTY4IC0yODEgMTAwMCA5MjRdL0FzY2VudCA2NzgvQ2FwSGVpZ2h0IDY1MS9EZXNjZW50IC0yMTYvSXRhbGljQW5nbGUgMC9TdGVtViA4NS9YSGVpZ2h0IDQ1MC9DaGFyU2V0KC9EL0UvSC9JL1AvYS9iL2MvZC9lL2YvaS9sL24vby9wL3BlcmlvZC9yL3MvdC91L3kpL0ZvbnRGaWxlIDI4IDAgUj4+CmVuZG9iagoKMzAgMCBvYmoKPDwvTGVuZ3RoIDc0MS9GaWx0ZXIvRmxhdGVEZWNvZGU+PgpzdHJlYW0KeNptVU1v4jAUvOdXeA+V2gPFdkgCFUKy8yFx2G1VqtVeITHdSJCgEKTtv1+PX4KXbQ+g8fP4ecYezN23l81EVe3OTMJHzl7Nub10pZmk37en4O4ua8vL0TT9D2MqU42z5yf20rXlxvTsPl1n66buHyx53ZSHS2VG1tckbd7rxlOwD7t/M78m5XH3R/DJ7lIf+rqZcJDf6v5gSV/OM1tkt0XmFv003blumycmHjnntpA3VdoeYeMcTAcpbDqK29dN1Q162A7qAiFZVZf9MHLf5dGeBxZvPs69Oa6bfRssl2z6aifPfffhND4E0+euMl3dvLP7W2l2anM5nQ4GMhgPVitWmb3taP3/2B4Nm37p8cp5+zgZJt1YkK6yrcz5tC1Nt23eTbDkfMWWRbEKTFP9N5fQit1+pCaWyuf4ClW0CpYytFjGKHCLbQGToabC3BbCwuKIChYHy1hYnChXsDhYJphMUjTiAj0UeqjFdRera1SQzEdF5e9tN2jn4QLLOBpLyWNgSXUo4CFhDTwjnANHtAMHjgm7PsPObi10SiFdTzIRx/hgnPrxAuPMj1OM83/4I6e4rYEnnAcR4iwEPNiTTIAlcaFPOA9cz4CdB5k6jvMgM2gVdA0KhywSqivgOa11HOeNZ45Dd5DDi3DeRAT/gnwVjk+eUsfJiSOByYfbVwq6beiXkq4xA04Iw3dIPRU4IfUMwQnpjDT0REMEcCYRcSJwopz8QkNUkC/0jDnxoSHJqA5+QvwMfRLS6e5ScdKJ81TC50ZJnxsV+tyomc+NinxuVOxzoxKfG6V8bhRlRUGPGrw7fubzpPLbPKniNk+a3+ZJi8950vJznnTo86RnPk868nnSsc+TTnye9NznSS98nrTyedLa50mnPk8683nSuc+TLnyeUu7zlAqfp1T6PKWz6525X777peNtwkt6ffbKS9fZF9E9t+6hwxNXN+b6Ip/aE1a5j3vKx/8OjJ6L4C9AzKpYCmVuZHN0cmVhbQplbmRvYmoKCjMxIDAgb2JqCjw8L0xlbmd0aCA2OTYvRmlsdGVyL0ZsYXRlRGVjb2RlPj4Kc3RyZWFtCnjabVRNb+IwEL3nV3gPldoDxR8kgQoh2QmROGxblWq1V0hMNxJJUAiH/vv1GxOsVj0QTZ7fzLzxC3P363U70VW3txP1yNmbPXeXvrST7PfuFN3d5V15aWw7PFtb2Wo8PT+x174rt3Zg99km37T18ODIm7Y8Xio7sn4mGftRt4GCPuz+3f6dlE1TCz7ZX+rjULcTDvJ7PRwd6cdz5kD2FWSU9Mf257prn5h45Jw7YN1WWddgjHM0vUph01HcoW6r/qqH7aEuEpJVdTlc3+hZNu4+kLz9PA+22bSHLlou2fTNHZ6H/pM0PkTTl76yfd1+sPuv0tzR9nI6HS1kMB6tVqyyB1fRzf+8ayyb/jjjjfP+ebJM0rvwusqusufTrrT9rv2w0ZLzFVsWxSqybfXtTHKfsj+M3NRx+RwPpeOVAwziNQFGOECgmog9kABAivApJgewAKAJyDgA1BC5BxSAwsVSeCB1gES6XBBqMgBIl4YAqqHQVoHBuQIwQ3pMXfgMwmKwY3SRSQIdCRipZyRgaHTRizCcxlxGhOGMAjAPwxmkGxOGc+ockIfhDGpkPAyXSQDqNpy79fF6Z/Pxust/u/7qDFcLpHHIkJKjK5cenyP2lRYG8czHa8TeAg0NLoliqnOdj3LpFoWkmgXhBeYWxOeGYu9tjlj6voRL3zfHtUjfN0cd6fsWhPu+bmIXpz4mDmrK2JC15HWcga+8GRL6lfEx3FaZ95Xi3OMF4rXHiU91JNWfcX9X6BtTLyUxe1z4GHhCHCGAp9RLKGhIqZdU0JbmnoO7SqkOz4HPr3YC19zrwT1rEfzSMvilVfBLz4JfOg5+6ST4pdPgl9bBL50Hv4wMfplF8CsTN7/oy6IvCf9s7KHb0igvfe/2CS0rWhNYEHVrb/vs1J2QRT9ahOPmxdtLEf0Hce2DxAplbmRzdHJlYW0KZW5kb2JqCgozMiAwIG9iago8PC9MZW5ndGggNjk2L0ZpbHRlci9GbGF0ZURlY29kZT4+CnN0cmVhbQp42m1Uy27iQBC8+ytmD5GSA2Ee2IYIIc3YWOKwSRSi1V7BHrKWsI2MOeTvd6oHMxLKAdQuV3dXd0E//HrfTnTV7e1EPXP2Yc/dpS/tJPu9O0UPD3lXXhrbDq/WVrYa355f2HvflVs7sMdsk2/aenhy5E1bHi+VHVk/k4z9qttAQR/2+Gn/TsqmqfeCT/aX+jjU7YSD/VkPR8f6mcAcyu5QRml/bH+uu/aFiWfOuQPWbZV1DSY5R9OrGjYd9R3qtuqvktgeAiMhWVWXw/WJvsvGrQTJ2+/zYJtNe+ii5ZJNP9zL89B/k8qnaPrWV7av2y/2eKfNvdteTqejhQ7Go9WKVfbgSrodvO4ay6Y/j3kjfX6fLJP0LLyysqvs+bQrbb9rv2y05HzFlkWximxb3b2T3KfsDyM3dVw+x5fS8coBBvGaACMcIFBNxB5IACBF+BSTA1gA0ARkHABqiNwDCkDhYik8kDpAIl0uCDUZAKRLQwDVUGirwOBcAZghPaYufAZhMdgxusgkgY4EjNQzEjA0uuhFGE5jLiPCcEYBmIfhDNKNCcM5dQ7Iw3AGNTIehsskAHUbzm19XO9sPq67/Lfrr85wtUAahwwpObpy6fE5Yl9pYRDPfLxG7C3Q0OCSKKY61/kol7YoJNUsCC8wtyA+NxR7b3PE0vclXPq+OdYifd8cdaTvWxDu+7qJXZz6mDioKWND1pLXcQa+8mZI6FfGx3BbZd5XinOPF4jXHic+1ZFUf8b9rtA3pl5KYva48DHwhDhCAE+pl1DQkFIvqaAtzT0Hu0qpDs+Bz692Atfc68GetQh+aRn80ir4pWfBLx0Hv3QS/NJp8Evr4JfOg19GBr/MIviViZtf9MuiXxL+2bhEt6tRXvreHRQ6V3QmcCDq1t4u2qk7IYs+dArH84untyL6D6ojha4KZW5kc3RyZWFtCmVuZG9iagoKMzMgMCBvYmoKPDwvTGVuZ3RoIDc0MC9GaWx0ZXIvRmxhdGVEZWNvZGU+PgpzdHJlYW0KeNptVU1v4jAUvOdXeA+V2gPFdkgMVYRk50PisNuqVKu9QmK6kSCJQjj036/fewku2x5A4+fx84w9mLsfL9uZrtq9nYWPnL3ac3vpSztLf+664O4ua8vLyTbDL2srW02z5yf20rfl1g7sPt1km6YeHhx505THS2Un1vckY9/rxlNgH3b/Zv/MylOvZvtLfRzqZsaB+lYPR0f5Zpa5EvtcYrjgt+3Pdds8MfHIOXeFvKnS9gQGzsF8FMHmk6xD3VT9qITtQVcgJKvqchhH+F2e3EnA4u3HebCnTXNogyRh81c3eR76D9T3EMyf+8r2dfPO7j8LcxPbS9cdLYhgPFivWWUPrp/z/Wt3smz+jbsr4+2js0ziWJCmsq3suduVtt817zZIOF+zpCjWgW2q/+YUrdgfJqpyVL6Er1BH6yCRocMyhgJ32BVgMjRUWLpCWDgcUcHhIImFw0pjweEgUTCpUmjEBfTQ0EOvrrs4XZMCtZwUlX93/aidhytYxqGxlDwGLKkOCnhI2ABeEM4BR7QDBxwTxj7jzrgWdEohsSeZiGP4wDj14xWMMz9OYZx/4k+c4rYGPIEeRAhnIcCDO0kFWBIX9An0wM0CMHqQKXLQg8xAq6Br0HDIQlFdA17SWuSgN54hh+4gBy8CvYkI/AvyVSCfPKXIyYkjAZMP3FcKum3QLyVdYwZYEQbfIfXUwAmpZwickM7IgJ5ojACcSUScCDhRTn5BQ1SQL+gZc+KDBpVRHfiK+Bn0UaQT71Jz0gnnqYXPjZY+Nzr0udELnxsd+dzo2OdGK58brX1uNGVFgx49ekd+5vOk89s86eI2T4bf5smIr3ky8mueTOjzZBY+TybyeTKxz5NRPk9m6fNkVj5PRvs8GePzZFKfJ5P5PJnc58kUPk8p93lKhc9TKn2e0sX1zvCXj790eJvgFb0+euWl7917iE8tPnTwxNWNvb7GXdvBKvzgMz79Y8DouQj+AaRDp34KZW5kc3RyZWFtCmVuZG9iagoKMzQgMCBvYmoKPDwvTGVuZ3RoIDY5OS9GaWx0ZXIvRmxhdGVEZWNvZGU+PgpzdHJlYW0KeNptVMFuozAQvfMV3kOl9pDGhkBMFUUiEKQctq2aaLXXFJwuUgOIkEP/fufNOGm3WilB4+eZeW8exjc/nreTrO5e3SS61+rFnbrzULlJ/nPfBzc3RVedj64dH52rXX3ZPT2o56Grtm5Ut/mm2LTNeEfJm7Z6P9fukvX/pJV7a9rPFPCo2537PenH42CHCf008nbN+E7737cUrdV1rTj1lxtOTdc+KHOvtSZg3dZ5d4TuUzD13Gp6UXNo2nrwAtQr5AQmVHVTjX7Fz+pIBqB4+3Ea3XHTHrpgsVDTF9o8jcMHK7sLpk9D7YamfVO3V1WEbs99/+6gQOlguVS1O1AzmvVxf3Rq+n2o6/buo3cq5LURNVVXu1O/r9ywb99csNB6qRZluQxcW3/bM7GUvB4uuQnl6jkeZmaWBKwRlwzMCwKMpdik9AjDZEZAiPYh12mKCUBGXApgCUgMxXNupBM0tci2YAmlJI0oTmcMmBwAMlLJMBEBGXpkOffI0CNDv2IuwJqAArRryShAuy4wtwhbQ3qJ7HLFAMUEILsUYRTDoIsTsb44U/3ZD+QD+HVYpPAklFES+vM6+lxDvJZBZnBHx1IHfm0lXiFOJc4QrySGaJ2zsyaE1ZrxHFIN85sIoxvmDyPGv3AnWM++rL0+E/+LQaNJ5A3CfTMXTrhoMo41868EZ07RRSeBYhiro5xr/Wvl2L9z6Ar9uwN/oiXGfFbiDBqs4Z4h/LCh5MAPyzOZFBqsPxTQZmM5MZjTipc5x3wadQQNNuNa1mNXgkOD5YNhYu4J/WQx165lRuYtOZ5BZ+q5kJ/698YHM5Vaxj0X/Ek9F/qkngvnNi3EN3ClzBXnnOM/KXBlhfjGZ1Q89J+rP334cHG5XK+D6jwMdFPwDcS3AL7/pnXXS6rvelTxn2+3y/2J1VMZ/AWoE3K3CmVuZHN0cmVhbQplbmRvYmoKCjM1IDAgb2JqCjw8L1R5cGUvQ2F0YWxvZy9QYWdlcyAxMyAwIFI+PgplbmRvYmoKCjM2IDAgb2JqCjw8L1Byb2R1Y2VyKHBkZlRlWC0xLjQwLjI1IFwoQ3JvcHBlZCBieSBwZGZDcm9wTWFyZ2lucz49Mi4wLlwpKS9DcmVhdG9yKFRlWCkvQ3JlYXRpb25EYXRlKEQ6MjAyMzEyMDkwOTU5NDgrMDEnMDAnKS9Nb2REYXRlKEQ6MjAyMzEyMDkwOTU5NDgrMDEnMDAnKS9QVEVYLkZ1bGxiYW5uZXIoVGhpcyBpcyBwZGZUZVgsIFZlcnNpb24gMy4xNDE1OTI2NTMtMi42LTEuNDAuMjUgXChUZVggTGl2ZSAyMDIzXCkga3BhdGhzZWEgdmVyc2lvbiA2LjMuNSkvcGRmQ3JvcE1hcmdpbnNSZXN0b3JlRGF0YShbWzAuMCwgMC4wLCA2MTIuMCwgNzkyLjBdXSk+PgplbmRvYmoKCnhyZWYKMCAzOQowMDAwMDAwMDEyIDAwMjU2IGYgCjAwMDAwMDAwMTYgMDAwMDAgbiAKMDAwMDAwMDAzNyAwMDAwMCBuIAowMDAwMDAwMDU4IDAwMDAwIG4gCjAwMDAwMDAxMDcgMDAwMDAgbiAKMDAwMDAwMDI1NSAwMDAwMCBuIAowMDAwMDAwNDA4IDAwMDAwIG4gCjAwMDAwMDIwNTYgMDAwMDAgbiAKMDAwMDAwMjIzMSAwMDAwMCBuIAowMDAwMDAyMzc5IDAwMDAwIG4gCjAwMDAwMDI1MjMgMDAwMDAgbiAKMDAwMDAwMjY3MCAwMDAwMCBuIAowMDAwMDAwMDM3IDAwMDAxIGYgCjAwMDAwMDI4MTggMDAwMDAgbiAKMDAwMDAwMjg3MSAwMDAwMCBuIAowMDAwMDAyODk2IDAwMDAwIG4gCjAwMDAwMDI5MjcgMDAwMDAgbiAKMDAwMDAwMjk1OCAwMDAwMCBuIAowMDAwMDAzMDA3IDAwMDAwIG4gCjAwMDAwMDMxNDAgMDAwMDAgbiAKMDAwMDAwMzQ2MyAwMDAwMCBuIAowMDAwMDExNTM5IDAwMDAwIG4gCjAwMDAwMTE3NDQgMDAwMDAgbiAKMDAwMDAxOTAxNCAwMDAwMCBuIAowMDAwMDE5MjIwIDAwMDAwIG4gCjAwMDAwMjYyMzcgMDAwMDAgbiAKMDAwMDAyNjQ0NSAwMDAwMCBuIAowMDAwMDMzNTgxIDAwMDAwIG4gCjAwMDAwMzM3ODcgMDAwMDAgbiAKMDAwMDA0MzU4MCAwMDAwMCBuIAowMDAwMDQzODQyIDAwMDAwIG4gCjAwMDAwNDQ2NTMgMDAwMDAgbiAKMDAwMDA0NTQxOSAwMDAwMCBuIAowMDAwMDQ2MTg1IDAwMDAwIG4gCjAwMDAwNDY5OTUgMDAwMDAgbiAKMDAwMDA0Nzc2NCAwMDAwMCBuIAowMDAwMDQ3ODEyIDAwMDAwIG4gCjAwMDAwMDAwMzggMDAwMDEgZiAKMDAwMDA0ODEzOSAwMDAwMSBmIAoKdHJhaWxlcgo8PC9TaXplIDM5L0luZm8gMzYgMCBSL1Jvb3QgMzUgMCBSL0lEWzw3RTA0MTg0OEMyNDEwMUQ0RDJFN0MxNzU1MkEwNUU3Rj48NzFDNzVCNjZBODQ0MTE4REExQ0NEQkNDNTJFRUQ3NDc+XT4+CnN0YXJ0eHJlZgo0ODEzOQolJUVPRgo=" | https://arxiv.org/abs/2210.03426 | arxiv | 2022-10-10T02:09:41 | |
In the $3$-dimensional space, interconnected soft fibers do not disconnect the matrix. A simple case is depicted here: the cylindrical perforation $Q^0$ runs through the periodicity cell and its complement $Q^1$ is connected. | \documentclass[reqno,11pt]{amsart}
\usepackage[colorlinks=true, pdfstartview=FitV, linkcolor=blue,
citecolor=blue, urlcolor=blue]{hyperref}
\usepackage[T1]{fontenc}
\usepackage{amsmath,amssymb,mathrsfs,mathtools,braket,latexsym,esint}
\usepackage{color}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.75]
%cubo
\draw (-2,-2) rectangle (2,2);
\draw (2,-2) -- (3,-1) -- (3,3) -- (2,2);
\draw (-2,2) -- (-1,3) -- (3,3);
\draw[dashed] (-2,-2) -- (-1,-1) -- (-1,3);
\draw[dashed] (-1,-1) -- (3,-1);
%fibra
\draw (.5,2.5) ellipse [x radius=.6,y radius=.3,rotate=10];
\draw[dashed] (.5,-1.5) ellipse [x radius=.6,y radius=.3,rotate=10];
\draw[dashed] (1.1,-1.4) -- (1.1,2.5);
\draw[dashed] (-0.1,-1.5) -- (-0.1,2.4);
\path (0.5,1) node {$Q^0$};
\path (-1.5,0.2) node {$Q^1$};
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2301.02170 | arxiv | 2023-01-06T02:12:51 | |
Illustrates where to deploy $P(v,n)$ the VFs (circles) of a remote driving application, the traffic routing (thick line), and robot-PoA attachment $\phi(r,R)$. Deployment, routing, and attachment decisions depend on contextual information as signal strength $\sigma_{R}(r)$ and link delays $d(w,n)$. | \documentclass[lettersize,journal]{IEEEtran}
\usepackage{amsmath,amsfonts}
\usepackage{color}
\usepackage{pgfplots, pgfplotstable}
\pgfplotsset{compat=1.17}
\usepackage{tikz}
\usetikzlibrary{calc}
\usetikzlibrary{math}
\usetikzlibrary{trees}
\usetikzlibrary{shapes.symbols}
\begin{document}
\begin{tikzpicture}[font=\scriptsize,
radiounit/.style={rectangle,draw,fill=white!20},
server/.style={rectangle,draw,fill=white!20},
vf/.style={draw=black,fill=white!20,circle, inner sep=2.5pt,font=\tiny},
line/.style={dotted, black!60,->,
edge from parent path={(\tikzparentnode.south) |- (\tikzchildnode.west)}},
% Define arrow style
skip loop/.style={to path={-- ++(0,#1) -| (\tikztotarget)}}
]
\pgfmathsetmacro{\below}{-1.4}
\pgfmathsetmacro{\aboveAbove}{1.7}
\pgfmathsetmacro{\aboveBelow}{1}
\pgfmathsetmacro{\middle}{-.47}
\pgfmathsetmacro{\middleAbove}{-.17}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Hardware %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\coordinate
child[grow=left] {node[server,anchor=east,align=center](c){Cloud}}
child[grow=right]{node[server,anchor=west,align=center](fe){Far Edge}}
child[grow=down,level distance=0ex]{node (fork){}}
[edge from parent fork down]
child{node[radiounit](s) {Switch}
child{node[radiounit](p3) {PoA\textsubscript{3}}}
child{node[radiounit](p2) {PoA\textsubscript{2}}}
child{node[radiounit](p1) {PoA\textsubscript{1}}}
child{node[radiounit](p4) {PoA\textsubscript{4}}}
child{node[radiounit] (p5){PoA\textsubscript{5}}}
child{node[radiounit](p6) {PoA\textsubscript{6}}}};
\node[radiounit,align=center] (r) at ($(p1)-(0,1)$) {robot};
\node[circle,fill=white,inner sep=0,font=\tiny] at (p1.south east) {$R_1$};
\node[circle,fill=white,inner sep=0,font=\tiny] at (r.south east) {$r_1$};
\node[circle,fill=white,inner sep=0,font=\tiny] (p6annot) at (p6.south east) {$R_6$};
\node(ne)[server,align=center] at (2.1,\below-.1){Near Edge};
\node[circle,fill=white,inner sep=0,font=\tiny] at (ne.south east) {$n_1$};
\draw[draw=black](s) -- (ne);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Virtual functions Placement %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\node(rd)[vf,align=center] at ($(ne)+(1.8,0)$) {Remote\\driving};
\node (rdTop) at ($(rd.north west)+(0,.2)$) {};
\draw[->,dashed] (rd.north west) -- (rdTop) -- node[midway,above]{$P(v_1,n_1)=1$} (ne.north |- rdTop) -- (ne.north);
\node[circle,fill=white!20,inner sep=0,font=\tiny] at (rd.south east) {$v_2$};
\node(ro) [vf,align=center] at ($(r)-(1.45,0)$) {Robot\\drivers};
\node[circle,fill=white!20,inner sep=0,font=\tiny] at (ro.south east) {$v_1$};
\draw[->,dashed] (ro) -- ($(r.west)-(.1,0)$);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Notations %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% path %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\draw[dashed,very thick] (r) -- node[pos=0.3,right] {$\phi(r_1,R_1)=1$} (p1);
\path(p1) edge[very thick, skip loop=7mm](s);
\path(s) edge[very thick](ne);
\path(s) edge[] node[pos=.3,anchor=east]{$d(w_1,n_3)=27$ms} ($(fork)+(0,.02)$);
%% Internet cloud
\node[cloud, fill=white, draw=black,align=center,font=\tiny,minimum width = 0.001cm,minimum height = 0.01cm, cloud ignores aspect] (aan) at ($(c)+(1.2,0)$) {Internet};
%% Math labels
\node[font=\tiny,fill=white,inner sep=0] at (c.south east) {$n_3$};
\node[font=\tiny,fill=white,inner sep=0] at (fe.south east) {$n_2$};
\node[font=\tiny,fill=white,inner sep=0] at (s.south east) {$w_1$};
\node[fill=white,anchor=north,align=center] at ($(p6)-(0,.35)$) {$\sigma_{R_6}(r_1)=$-87dB };
%%%%%%%%%%%%%%%% AAN %%%%%%%%%%%%%%%%%%%%
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2210.14208 | arxiv | 2022-10-26T02:21:02 | |
The model is solved by a rotated Jordan-Wigner transformation. Majorana bilinears that commute with the Hamiltonian are denoted by green dashed lines, which in turn form the static $Z_{2}$ variables. The solution is a Majorana hopping model, connected by orange and black lines, coupled with static $Z_{2}$ variables. | \documentclass[aps,prl,twocolumn,amsmath,amssymb,superscriptaddress]{revtex4-1}
\usepackage{color}
\usepackage{amsmath}
\usepackage{tikz}
\usepackage{color}
\usepackage[colorlinks,bookmarks=false,citecolor=blue,linkcolor=red,urlcolor=blue]{hyperref}
\begin{document}
\begin{tikzpicture}
\node at (-0.8,0) {$\eta^{\beta}$};
\node at (-0.8,0.6) {$\eta^{\alpha}$};
\foreach \i in {1,2,3,4,5,6}
{
\node at (\i*0.8-0.8,-0.5) {\i};
}
\foreach \j in{0,2,4}
{
\draw[very thick,dashed,green](\j*0.8,0.6)--(\j*0.8+0.8,0);
\draw[very thick,orange](\j*0.8,0)--(\j*0.8+0.8,0.6);
}
\foreach \j in{1,3}
{
\draw[very thick](\j*0.8,0.6)--(\j*0.8+0.8,0);
}
\foreach \i in {0,1,2,3,4,5}
{
\filldraw[fill=red] (\i*0.8,0) circle [radius=0.08];
\filldraw[fill=blue] (\i*0.8,0.6) circle [radius=0.08];
}
\draw[very thick,dotted](4.5,0.3)--(5.1,0.3);
\draw[very thick,dashed,green](5.6,0.6)--(6.4,0);
\draw[very thick,orange](5.6,0)--(6.4,0.6);
\foreach \i in {7,8}
{
\filldraw[fill=red] (\i*0.8,0) circle [radius=0.08];
\filldraw[fill=blue] (\i*0.8,0.6) circle [radius=0.08];
}
\node at (5.6,-0.5) {2N-1};
\node at (6.4,-0.5) {2N};
\draw[dotted](4.3,-0.5)--(5.1,-0.5);
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2112.12824 | arxiv | 2022-10-31T01:17:10 | |
The instance in the proof of Theorem~\ref{thm: 2-UFS EW}. $f^*_{EW}$ represents the egalitarian welfare maximizing facility placement, whilst $2UFS(x)$ represents the interval of facility placements satisfying 2-UFS. The red intervals denote locations that are infeasible under 2-UFS. | \documentclass[12pt]{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{amsmath,amssymb,amsthm,amsfonts,latexsym,bbm,xspace,graphicx,float,mathtools,dsfont}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}
\draw[] (-3.5,0) -- (3.5,0); %interval line
\draw [thick] (-3.5,0.3) -- (-3.5,-0.3); % 0 line
\draw [thick] (3.5,0.3) -- (3.5,-0.3); % 1 line
\node at (-3.5, -0.5) {$0$}; %point on line
\node at (3.5, -0.5) {$1$}; %point on line
\node at (0.6, -0.5) {$x_2$}; %point on line
\node at (0.6, -0.8) {$\vdots$}; %point on line
\node at (0.6, -1.3) {$x_{n}$}; %point on line
\node at (-3, -0.5) {$x_1$}; %point on line
\filldraw[fill=red!40, rounded corners](-3.55,-0.25) rectangle (-2.45,0.25); %first "ball"
\node at (3.5, 0.73) {$f^*_{EW}$}; %example of how to add text
\node at (-2.4,0.73) {$2UFS(x)$};
\filldraw[fill=red!40, rounded corners](-2.35,-0.25) rectangle (3.55,0.25);
\end{tikzpicture}
\end{document} | 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" | https://arxiv.org/abs/2301.04340 | arxiv | 2023-01-12T02:07:44 |
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