[Content_Types].xml
_rels/.rels
matlab/document.xml
matlab/output.xml
metadata/coreProperties.xml
metadata/mwcoreProperties.xml
metadata/mwcorePropertiesExtension.xml
metadata/mwcorePropertiesReleaseInfo.xml
MATLAB Root Finding Methods In this livescript, you will learn how to Plot graph of a function Use the inbuilt MATLAB \texttt{roots()} function to find roots of a polynomial function Use the inbuilt MATLAB \texttt{fzero()} function to find roots of a general function Suppose you would like to find the roots of the polynomial f(x)=x^{2}-2x-1=0 Equation 5. This is a 2nd order polynomial. So there should be two roots. The roots might be complex. Let’s plot f(x) for -2 \leq x \leq 4 to see how the function looks like and see approximately where the roots are x=linspace(-2,4,100);
fx=x.*x-2*x-1;
plot(x,fx);
xlabel(‘x’);
ylabel(‘f(x)’);
%Plot a horizontal line at y=0 so that we can better see where the root is
y=0;
line([-2,4],[y,y]) From the graph generated, you can see that there is one root between -1 and 0 and the other root is between 2 and 3. You should be able to use mathematical techniques to find that the roots of Eq. (5) are x_1=1-\sqrt{2}=-0.4142135623 x_1=1+\sqrt{2}=2.4142135623 Alternatively, we could also use MATLAB, which has an inbuilt function fzero that determines the roots of a nonlinear (or linear) function by specifying a single input \texttt{x0} or an interval \texttt{[xl xu]} . fzero(fun,x0) NOTE: the input \texttt{fun} has the form \texttt{@(x) x**2-2*x-1} , where \texttt{@(x)} the is a function handle. If we know that the function is a polynomial, MATLAB also has the function \texttt{roots} whose input is a vector of the polynomial coefficients. For example if y=a_{0}+a_{1}x+a_{2}x^{2} Then the input is the vector \texttt{c = [a2 a1 a0]} . Use \texttt{roots()} to determine roots of Eq. (5) roots([1 -2 -1]) Use \texttt{fzero} roots of Eq. (5) that is in between -1\leq x\leq0 f=@(x) x.^2-2*x-1;
fzero(f,[-1 0]) Use \texttt{fzero} to determine roots of Eq. (5) that is in between 2\leq x\leq 3 fzero(f,[2 3]) What will happen if you type fzero(f,[2])
manual code ready 0.4 figure 80835702-1549-4cb0-9cb8-7e1dc1cac51d data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABGAAAANICAYAAACIVpl8AAAgAElEQVR4AezBa4jkiUH3+2/+a2CSQOhaNW6tirPU6C8a9ZAwpR4MduVNVjajCIoYMen2GhNi1HhB18u6CotX9t0jaNRpEzgREZQYMBe1Bl88Qqkg3vjZW2zBOdqbxHSNwXXKYJLj4BOIIZfdnemZ6a7v5zN8RJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQJIkSZIkSSdqQFvpwx/+MIeHhxweHnJ4eMjh4SGHh4ccHh5yeHjI4eEhh4eHPPnkk0iSJEmSpBszoK30nve8h0uXLnHp0iUuXbrEpUuXuHTpEpcuXeLSpUtcunSJS5cusVgskCRJkiRJN2ZAW+k5z3kODzzwAA888AAPPPAADzzwAA888AAPPPAA999/P9c961nP4rM/+7ORJEmSJEk3ZkBbaWdnh0cffZRHH32URx99lEcffZRHH32URx99lM/7vM/jute+9rW86EUvQpIkSZIk3ZgB6WO87W1v4zd+4zd42ctexhve8AYkSZIkSdKNG5D+j/e973389E//NM973vN45JFHeNaznoUkSZIkSbpxA9L/8Su/8iv8+7//O9/5nd/J3XffzdORhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJ0J1vQPovf/M3f8Pv//7v85mf+Zl8+7d/O0/XE//Xq2lLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUt17WlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtlzXlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9pyXVva0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW25ri1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra05bq2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1va0pa2tKUtbWlLW9rSlra0pS1taUtb2tKWtrSlLW1pS1vacu/3/z/odBiQ/suv//qv85GPfIRv+7Zv47nPfS5P1wc+//9GkiRJknTrrI43rNYbdDoMaOt94AMf4E//9E+57hWveAXPxPP/3//N5cURkiRJkqRbY7W+xvnROXQ6DGjrvf3tb+eDH/wgX/ZlX8YXfMEX8Ew89/2HXFleRZIkSZJ0azz8jsd56P770OkwoK337ne/m+u+9mu/lmfq+f/f/+by4ghJkiRJ0slbHW9YrTfMJiN0Ogxo6/3jP/4j173oRS/iRswmO8yXayRJkiRJJ2u1vsb50Tl0egxoq33gAx/gve99L9dNJhNuxN50zMHiCSRJkiRJJ+vKY1eZTUbo9BjQVlutVlz3/Oc/nxe84AXciP3pmMuLIyRJkiRJJ2u+XLN7YQedHgPaal/+5V9OWxaLBTfDbLLDfLlGejraIt2Itkg3oi3SM9UW6Ua0RXo65ss1180mI3R6DEg30d50zMHiCSRJkiRJJ+PKY1eZTUbodBmQbqL96ZjLiyMkSZIkSSdjvlyze2EHnS4D0k12/u5zrI43SJIkSZJurtXxhtV6w2wyQqfLgHST7V8cc7A4QpIkSZJ0cx0sjti/OEanz4B0k+1e2GG+XCNJkiRJurnmyzW7F3bQ6TMg3WSzyYjVesPqeIMkSZIk6eZYHW9YrTfMJiN0+gxIJ2A2GTFfrpEkSZIk3RwHiyP2L47R6TQgnYDdyQ5XlleRJEmSJN0c8+Wa3Qs76HQakE7A/nTMfLlmdbxBkiRJknRjVscbVusNs8kInU4D0gmZTUbMl2skSZIkSTdmvlwzm4zQ6TUgnZDdyQ5XlleRJEmSJN2Yg8URe9N70Ok1IJ2Q/emY+XLN6niDJEmSJOmZWR1vWK03zCYjdHoNSCdoNhkxX66RJEmSJD0z8+Wa2WSETrcB6QTtTna4sryKJEmSJOmZOVgcsTe9B51uA9IJ2p+Oubw4QpIkSZL09K2ON6zWG2aTETrdBqQTtj8dc3lxhCRJkiTp6Vmtr3F+dA6dfgPSCdud7HBleRVJkiRJ0tPz8Dse56H770On34B0wvanYy4vjpAkSZIkPT2r9YbZZIROvwHpFtifjrm8OEKSJEmS9NSdH51DZ8OAdAvsTna4sryKJEmSJOmpedn/+iseuv8+dDYMSLfA/nTM5cURkiRJkqRPb3W8YbXeMJuM0NkwIN0is8kO8+UaSZIkSdKntlpf4/zoHDo7BqRbZG865mDxBJIkSZKkT+1g8QR70zE6OwakW2R/Ouby4ghJkiRJ0ie3Ot4wX67Zn47R2TEg3UKzyQ7z5RpJkiRJ0ie2Wl/j/OgcOlsGpFtobzrmYPEEkiRJkqRP7GDxBHvTMTpbBqRbaH865vLiCEmSJEnSJzZfrplNRuhsGZBusdlkh/lyjSRJkiTpf5ov15wfneP83efQ2TIg3WJ70zEHiyeQJEmSJP1PVx67ymwyQmfPgHSL7U/HXF4cIUmSJEn6n+bLNbsXdtDZMyDdBrPJDvPlGkmSJEnSf5sv11w3m4zQ2TMg3QZ70zEHiyeQJEmSJP23K49dZTYZobNpQLoN9qdjLi+OkCRJkiT9t/lyze6FHXQ2DUi3yfm7z7E63iBJkiRJ2251vGG13jCbjNDZNCDdJg+9/D4efufjSJIkSdK2O1gcsX9xjM6uAek22Z+Oubw4QpIkSZK23Xy5ZvfCDjq7BqTb6Pzd51gdb5AkSZKkbbU63rBab5hNRujsGpBuo4defh8Pv/NxJEmSJGlbHSyO2L84RmfbgHQb7U/HXF4cIUmSJEnbar5cs3thB51tA9Jtdv7uc6yON0iSJEnStlkdb1itN8wmI3S2DUi32WwyYr5cI0mSJEnb5mBxxP7FMTr7BqTbbG96DweLIyRJkiRp28yXa3Yv7KCzb0C6zWaTEav1htXxBkmSJEnaFqvjDav1htlkhM6+AekOMJuMmC/XSJIkSdK2OFgcsX9xjLbDgHQH2J3scGV5FUmSJEnaFvPlmt0LO2g7DEh3gP3pmPlyzep4gyRJkiRtg9V6w2wyQtthQLpDzCYj5ss1kiRJknTWPfyOx9m/OEbbY0C6Q+xOdriyvIokSZIknXXz5ZrdCztoewxId4j96Zj5cs3qeIMkSZIknVWr4w2r9YbZZIS2x4B0B5lNRsyXayRJkiTprDpYHLF/cYy2y4B0B9md7HBleRVJkiRJOqvmyzW7F3bQdhmQ7iD70zHz5ZrV8QZJkiRJOmtWxxtW6w2zyQhtlwHpDjObjJgv10iSJEnSWXOwOGL/4hhtnwHpDrM72eHK8iqSJEmSdNbMl2t2L+yg7TMg3WH2p2PmyzWr4w2SJEmSdFasjjes1htmkxHaPgPSHWg2GTFfrpEkSZKks+JgccT+xTHaTgPSHWhveg8HiyMkSZIk6ayYL9fsXthB22lAugPNJiNW6w2r4w2SJEmSdNqtjjes1htmkxHaTgPSHWo2GTFfrpEkSZKk0+5gccT+xTHaXgPSHWpveg8HiyMkSZIk6bSbL9fsXthB22tA+i//+q//yrve9S7e9ra30ZY7wWwyYrXesDreIEmSJEmn1ep4w2q9YTYZoe01oK129epVvvVbv5Wv/Mqv5PWvfz0//MM/zNd//dfzmte8hmvXrnG7zSYj5ss1kiRJknRaHSyO2L84RtttQFvrySef5Du+4zv4y7/8S77kS76E7//+7+dVr3oVOzs7zOdzfvmXf5nbbW96DweLIyRJkiTptJov1+xe2EHbbUBb661vfSt/93d/x8WLF/nd3/1dXve61/GTP/mT/NIv/RLXvf3tb+cjH/kIt9NsMmK13rA63iBJkiRJp83qeMNqvWE2GaHtNqCt9Yd/+Idc9/DDD3PXXXfxUV/zNV/Dz/zMz/C6172OD3/4w9xus8mI+XKNJEmSJJ02B4sj9i+OkQa0ld773vfy93//93z+538+Fy5c4N/+7d/48z//c/7sz/6Mf/mXf+GVr3wlr371q7nrrru43fam93CwOEKSJEmSTpv5cs3uhR2kAW2l97znPVz3RV/0RfzCL/wC0+mUvb09vuu7vouv/uqv5kd/9Ed58sknuRPMJiNW6w2r4w2SJEmSdFqsjjes1htmkxHSgLbS+9//fq6bz+f85m/+Jl/1VV/FD/7gD/LqV7+a5z73ufzBH/wBP/VTP8XTkYQkJCEJSUhCEm7UbDJivlwjSZIkSafFweKI/YtjblQSkpCEJCQhCUlIgk6HAW2lf//3f+e6D33oQ7zyla/kt37rt/je7/1efuInfoK3vOUt3HXXXbz97W/n8PCQp6otbWlLW9rSlrbcqL3pPRwsjpAkSZKk02K+XLN7YYcb1Za2tKUtbWlLW9qi02FAW+n5z38+H/WGN7yBj/WiF72Il770pVz3t3/7t9wJZpMRq/WG1fEGSZIkSbrTrY43rNYbZpMR0nUD2kqj0YjrnvOc53D33Xfz8e69916ue9/73sedYjYZMV+ukSRJkqQ73cHiiP2LY6SPGtBWeuELX8jzn/98rl27xtHRER/vscce47rP/dzP5U7xW9/yxRwsjpAkSZKkO918uWb3wg7SRw1oK91111287GUv47qf//mf5z//8z/5qD/+4z9msVjw3Oc+l6/8yq/kTrJab1gdb5AkSZKkO9XqeMNqvWE2GSF91IC21g/90A9x77338kd/9Ed8wzd8Az/3cz/H61//el7/+tdz3fd8z/fwWZ/1WdxJZpMR8+UaSZIkSbpTHSyO2L84RvpYA9pan/M5n8Ob3vQmdnd3+ed//mfe8pa38K53vYvxeMwjjzzCa1/7Wu40e9N7OFgcIUmSJEl3qvlyze6FHaSPNaCtNplM+LVf+zX+6q/+ira05U/+5E/4xm/8Ru5Es8mI1XrD6niDJEmSJN1pVscbVusNs8kI6WMNSKfM/sUxB4sjJEmSJOlOc7A4Yv/iGOnjDUinzEP338fPvPNxJEmSJOlOM1+u2b2wg/TxBqRT6Pzd51gdb5AkSZKkO8XqeMNqvWE2GSF9vAHpFHro5ffx8DsfR5IkSZLuFAeLI/YvjpE+kQHpFNqfjrm8OEKSJEmS7hTz5ZrdCztIn8iAdEqdv/scq+MNkiRJknS7zZdrrptNRkifyIB0Sj308vt4+J2PI0mSJEm325XHrjKbjJA+mQHplNqfjrm8OEKSJEmSbrf5cs3uhR2kT2ZAOsVmkx3myzWSJEmSdLvMl2uum01GSJ/MgHSK7U3HHCyeQJIkSZJulyuPXWU2GSF9KgPSKbY/HXN5cYQkSZIk3Q6r4w2r9YbdCztIn8qAdMrNJjvMl2skSZIk6VZbra+xOr7GbDJC+lQGpFNubzrmYPEEkiRJknSrHSyeYG86Rvp0BqRTbn865vLiCEmSJEm6lVbHG+bLNfvTMdKnMyCdAbPJDvPlGkmSJEm6VVbra5wfnUN6KgakM2BvOuZg8QSSJEmSdKscLJ5gbzpGeioGpDNgfzrm8uIISZIkSboVVscb5ss1+9Mx0lMxIJ0R+9MxlxdHSJIkSdJJW62vcX50DumpGpDOiN3JDleWV5EkSZKkk/bwOx7nofvvQ3qqBqQzYn865vLiCEmSJEk6SavjDav1htlkhPRUDUhnyP50zOXFEZIkSZJ0Ulbra5wfnUN6OgakM+S3vuWLubK8iiRJkiSdlIff8Th/+rqXID0dA9IZc3lxhCRJkiSdhNXxhtV6g/R0DUhnzP50zOXFEZIkSZJ0s63W1zg/Oof0dA1IZ8zuZIcry6tIkiRJ0s328Dse56H770N6ugakM2Z/Oma+XLM63iBJkiRJN8vqeMNqvWE2GSE9XQPSGTSbjJgv10iSJEnSzTJfrplNRkjPxIB0Bu1OdriyvIokSZIk3SwHiyP2pvcgPRMD0hm0Px0zX65ZHW+QJEmSpBu1Ot6wWm+YTUZIz8SAdEbNJiPmyzWSJEmSdKPmyzWzyQjpmRqQzqi96T0cLI6QJEmSpBt1sDhib3oP0jM1IJ1Rs8mI1XrD6niDJEmSJD1Tq+MNq/WG2WSE9EwNSGfYbDJivlwjSZIkSc/UweKI/YtjpBsxIJ1hv/UtX8y3v/UfkCRJkqRnar5cs3thB+lGDEhn3Pm7z7E63iBJkiRJT9fqeMNqvWE2GSHdiAHpjHvo5ffx8DsfR5IkSZKeroPFEfsXx0g3akA64/anYy4vjpAkSZKkp2u+XLN7YQfpRg1IW2A22WG+XCNJkiRJT9V8uea62WSEdKMGpC2wNx1zsHgCSZIkSXqqDhZPsDcdI90MA9IW2J+Oubw4QpIkSZKeitXxhvlyzf50jHQzDEhbYjbZYb5cI0mSJEmfzmp9jfOjc0g3y4C0JfamYw4WTyBJkiRJn87D73ich+6/D+lmGZC2xP50zOXFEZIkSZL0qayON6zWG2aTEdLNMiBtkf3pmMuLIyRJkiTpk1mtr3F+dA7pZhqQtsjuZIcry6tIkiRJ0ifz8Dse56H770O6mQakLbI/HXN5cYQkSZIkfTKr9YbZZIR0Mw1IW2Z/Ouby4ghJkiRJ+kRmkxHSzTYgbZndyQ5XlleRJEmSpI/3sv/1V+xN70G62QakLbM/HTNfrlkdb5AkSZKkj1odb1itN8wmI6SbbUDaQrPJiPlyjSRJkiR91Hy5ZjYZIZ2EAWkL7U3v4WBxhCRJkiR91MHiiL3pPUgnYUDaQrPJiNV6w+p4gyRJkiStjjes1htmkxHSSRiQttRDL7+Ph9/5OJIkSZJ0sDhi/+IY6aQMSFtqfzrm8uIISZIkSZov1+xe2EE6KQPSFptNdpgv10iSJEnaXvPlmutmkxHSSRmQttjedMzB4gkkSZIkba+DxRPsTcdIJ2lA2mL70zGXF0dIkiRJ2k6r4w3z5Zr96RjpJA1IW2422WG+XCNJkiRp+6zW1zg/Ood00gakLbc3HXOweAJJkiRJ2+fhdzzOQ/ffh3TSBqQttz8dc3lxhCRJkqTtsjresFpvmE1GSCdtQFvtn/7pnzg8POTw8JDDw0MODw85PDzk8PCQ97///WyL/emYy4sjJEmSJG2P1foa50fnkG6FAW217/7u7+bSpUtcunSJS5cucenSJS5dusSlS5d485vfzLbYnexwZXkVSZIkSdvj4Xc8zkP334d0Kwxoa/3Hf/wHq9WKz/mcz2Fvb4+9vT329vbY29tjb2+PF7/4xWyL/emY+XLN6niDJEmSpLNvdbxhtd4wm4yQboUBba3HHnuMD33oQ7z0pS/lwQcf5MEHH+TBBx/kwQcf5MEHH2R3d5dtMpuMmC/XSJIkSTr75ss1s8kI6VYZ0Nb6x3/8R6574QtfiGBveg8HiyMkSZIknX0HiyP2pvcg3SoD2lptue6ee+7hd37nd/jFX/xFDg4O+Ou//mu20WwyYrXesDreIEmSJOnsWh1vWK03zCYjpFtlQFurLde98Y1v5Kd/+qf5jd/4DR555BG++Zu/mR/+4R/mgx/8INtm/+KYg8URkiRJks6ug8UR+xfHSLfSgLZWW0vmx1AAACAASURBVK770i/9Un75l3+ZN7/5zbz2ta/l2c9+Nm9729v41V/9VZ6OJCQhCUlIQhKScFo8dP99/Mw7H0eSJEnS2TVfrtm9sMNpkYQkJCEJSUhCEpKg02FAW+lDH/oQ3/Vd38WP//iP8+Y3v5mv+7qv4yu+4iv4gR/4AX7hF36B6970pjfxoQ99iKeqLW1pS1va0pa2nCazyQ7z5RpJkiRJZ898uea62WTEadGWtrSlLW1pS1vaotNhQFvprrvu4ju+4zvY39/n2c9+Nh/rFa94BS94wQv44Ac/yGq1YtvsTcccLJ5AkiRJ0tlz5bGrzCYjpFttQFvpwx/+ME8++SQf/OAH+UQ+8zM/k+ve8573sG32p2MuL46QJEmSdPZc/osjHrr/PqRbbUBb6V3vehcveclL+JEf+RE+3mazYbVacd358+fZRrPJDvPlGkmSJElnx3y55vzoHNLtMKCt9GVf9mVc9+53v5u/+Iu/4KM+8pGP8Cu/8itcu3aNL/zCL+Tee+9lG+1NxxwsnkCSJEnS2fHwOx7nofvvQ7odBrSV7r33Xl71qlfxn//5n7z61a/m+77v+3jkkUf4pm/6Jn77t3+bZz/72fzsz/4s22p/Ouby4ghJkiRJZ8PqeMNqvWE2GSHdDgPaWj/2Yz/GG9/4Rp73vOfxzne+k4ODA/7hH/6BF7/4xfze7/0eL3nJS9hm+9MxlxdHSJIkSTr95ss1s8kI6XYZ0Nb6jM/4DF7zmtewWCxoS1v+/u//nre+9a0kYdvtTna4sryKJEmSpNPvYHHE3vQepNtlQNIntD8dM1+uWR1vkCRJknR6rY43rNYbZpMR0u0yIOmTmk1GzJdrJEmSJJ1eB4sj9i+OkW6nAUmf1EMvv4+H3/k4kiRJkk6v+XLN7oUdpNtpQNIndf7uc5wfnWO+XCNJkiTp9Fkdb1itN8wmI6TbaUDSp7Q3HXOweAJJkiRJp8/B4oj9i2Ok221A0qe0Px1zeXGEJEmSpNNldbzh8l8c8dD99yHdbgOSPq3ZZIf5co0kSZKk02O1vsb50TmkO8GApE9rbzrmYPEEkiRJkk6Ph9/xOA/dfx/SnWBA0qe1Px1zeXGEJEmSpNNhdbxhtd4wm4yQ7gQDkp6S/emYy4sjJEmSJN355ss1s8kI6U4xIOkp2Z3scGV5FUmSJEl3voPFEXvTe5DuFAOSnpL96Zj5cs3qeIMkSZKk/589+A+SpC7s///iDcE91KvrjRbbpKxs23idJb/wvDbBaGikbqZKvZTBiOuPcmaDlXBoKuLXXwVF+kZUrChE8YJiSXYGo2wZDElWucxozibGU2z08oew6Win24pxLoWZPtTzWg/uvs4HLBH5cT92Z+fH8/EYXnmvVF6UClxLwLAwAnDMAtdSlBYCAAAAMLxacVf1rbaAYWIE4Jgtzs9pYWlFAAAAAIZXlBY6/+xNAoaJEYDjEribFKWFAAAAAAyfKC3UF7iWgGFiBOC41HxbrXi/AAAAAAyfVrxfNd8WMGyMAByXum+rGXcFAAAAYLjkvVJRWqju2wKGjRGA41b3bTXjrgAAAAAMj7w4pFlrSsAwMgJw3M53N+mO9IAAAAAADI9GO1NYdQQMIyMAx63u24rSQnmvFAAAAID1l/dK5UWpwLUEDCMjACckcC1FaSEAAAAA6y9KCwWuJWBYGQE4ITV/Rq24KwAAAADrrxV3VfNnBAwrIwAnJHAt5UWpvFcKAAAAwPrJe6XyolTgWgKGlRGAExZWHDU6mQAAAACsn1bcVX2rLWCYGQE4YXXfVjPuCgAAAMD6yHulorRQzbcFDDMjACclcDcpSgsBAAAAGLy8OKS+2ekpAcPMCMBJqfm2WvF+AQAAABi8RjtTWHUEDDsjACel7ttqxl0BAAAAGKy8VyovSgWuJWDYGQE4aXXfVjPuCgAAAMDgRGmhwLUEjAIjACet5s+oFXcFAAAAYHBacVc1f0bAKDACcNIC11JelMp7pQAAAACsvbxXKi9KBa4lYBQYAVgVYcVRo5MJAAAAwNprxV3Vt9oCRoURgFVR9201464AAAAArK28VyovSp1/9iYBo8IIwKoJ3E2K0kIAAAAA1k5eHFLeO6TAtQSMCiMAq6bm22rF+wUAAABg7TTamcKqI2CUGAFYNXXfVjPuCgAAAMDayHul8qJU4FoCRokRgFVV9201464AAAAArL4oLRS4loBRYwRgVZ3vbtId6QEBAAAAWH2tuKuaPyNg1BgBWFV131aUFsp7pQAAAACsnrxXKi9KBa4lYNQYAVh1YcVRo5MJAAAAwOppxV3Vt9oCRpERgFVX9201464AAAAArJ4oLXT+2ZsEjCIjAGsicDcpSgsBAAAAOHlRWqgvcC0Bo8gIwJr4/GVb1Ir3CwAAAMDJa7QzhVVHwKgyArBmmnFXAAAAAE5O3iuVF6UC1xIwqowArJm6b6sZdwUAAADgxEVpocC1BIwyIwBrpubPqBV3BQAAAODEteKuav6MgFFmBGDNBK6lvCiV90oBAAAAOH55r1RelApcS8AoMwKwpsKKo0YnEwAAAIDj14q7qm+1BYw6IwBrqu7basZdAQAAADg+ea9UlBaq+baAUWcEYM3VfVvNuCsAAAAAxy4vDqlvdnpKwKgzArDmznc36Y70gAAAAAAcu0Y7U1h1BIwDIwBrru7bitJCea8UAAAAgCeW90rlRanAtQSMAyMAAxG4lqK0EAAAAIAnFqWFAtcSMC6MAAxEWHHU6GQCAAAA8MRacVc1f0bAuDACMBCz01OataYUpYUAAAAAPLYoLdQXuJaAcWEEYGBqvq1WvF8AAAAAHlsr3q+abwsYJ0YABqbu22rGXQEAAAB4dHmvVJQWqvu2gHFiBGCg6r6tZtwVAAAAgF8UpYUC1xIwbowADNT57ibdkR4QAAAAgF/Uiruq+TMCxo0RgIGq+7aitFDeKwUAAADgZ/JeqbwoFbiWgHFjBDzMvffeq1tuuUVf//rXhbUTVhw1OpkAAAAA/Ewr7qq+1RYwjoyAhxw9elRvfetbtXPnTkVRJKydum+rGXcFAAAA4EF5r1RelDr/7E0CxpER8JCPfexj2rt3rzAYgbtJUVoIAAAAgJQXh5T3DilwLQHjyAj4iW984xt63/vepzPOOEMYjJpvqxXvFwAAAACp0c4UVh0B48oIE+/w4cN6y1veoic/+cl685vfLAxG3bcVpYUAAAAASHlRKnAtAePKCBPv/e9/v1ZWVvSOd7xD09PTwuAErqVm3BUAAAAw6QLXEjDOjDDRvvKVr+hv/uZv9Ad/8Afatm2bMFg1f0atuCsAAABgkl1ww9dU82cEjDMjTKzvf//7etvb3qanP/3puuqqq3SyPM+T53nyPE+e58nzPHmeJ8/zhEcXuJb6orQQAAAAMImitFBf4FrCo/M8T57nyfM8eZ4nz/PkeZ48z5PnecJoMMLEesc73qHvfOc7ete73qWNGzfqZCVJoiRJlCSJkiRRkiRKkkRJkgiPrebbasX7BQAAAEyiVrxfNd8WHluSJEqSREmSKEkSJUmiJEmUJImSJBFGgxEmUrvd1j/90z/pJS95ibZs2aKDBw/q4MGD+tGPfqS+w4cP6+DBg7r//vuFtVX3bTXjrgAAAIBJk/dKRWmhum8LGHdGmEhf+9rX1PfpT39aW7Zs0ZYtW7Rlyxa97W1vU9+HP/xhbdmyRZ/85CeFtVf3bTXjrgAAAIBJEqWFAtcSMAmMMJF+8zd/U9u2bdO2bdu0bds2bdu2Tdu2bdOv/dqvqc91XW3btk3PeMYzhLVX82fUirsCAAAAJkkr7qrmzwiYBEaYSC95yUu0a9cu7dq1S7t27dKuXbu0a9cuXXrppep70YtepF27dukFL3iBsPYC11JelMp7pQAAAIBJkPdK5UWpwLUETAIjAEMhrDhqdDIBAAAAk6DRyRRWHAGTwgh4mFNPPVV9p556qjBYdd9WM+4KAAAAGHd5r1SUFqr7toBJYQQ8TKVSUZIk2rFjhzB4dd9WM+4KAAAAGGd5cUiz1pSASWIEYGic727SHekBAQAAAOOs0c4UVh0Bk8QIwNCo+7aitFDeKwUAAACMo7xXKi9KBa4lYJIYARgqYcVRo5MJAAAAGEetuKv6VlvApDECMFTqvq1m3BUAAAAwbvJeqSgtVPNtAZPGCMDQCdxNitJCAAAAwDjJi0Pqm52eEjBpjAAMnZpvqxXvFwAAADBOGu1MYdURMImMAAydum8rSgvlvVIAAADAOMh7pfKiVOBaAiaREYChFLiWorQQAAAAMA5acVf1rbaASWUEYCgtzs9pYWlFAAAAwDiI0kLnn71JwKQyAjC0AneTorQQAAAAMMqitFBf4FoCJpURgKFV82214v0CAAAARlmjnSmsOgImmRGAoVX3bUVpobxXCgAAABhVeVEqcC0Bk8wIwFALXEtRWggAAAAYRc24q8C1BEw6IwBDLaw4anQyAQAAAKOoFXdV82cETDojAENtdnpKs9aUorQQAAAAMEqitFBf4FoCJp0RgKFX82214v0CAAAARkmjnSmsOgIgGQEYenXfVpQWynulAAAAgFGQ90rlRanAtQRAMgIwEgLXUpQWAgAAAEZBlBYKXEsAHmQEYCQszs9pYWlFAAAAwChoxV3V/BkBeJARgJERuJsUpYUAAACAYRalhfoC1xKABxkBGBk131Yr3i8AAABgmDXamcKqIwA/YwRgZNR9W1FaKO+VAgAAAIZR3iuVF6UC1xKAnzECMFIC11KUFgIAAACGUZQWClxLAH6eEYCRsjg/p4WlFQEAAADDqBV3VfNnBODnGQEYOYG7SVFaCAAAABgmUVqoL3AtAfh5RgBGTs231Yr3CwAAABgmjXamsOoIwC8yAjBy6r6tKC2U90oBAAAAwyDvlcqLUoFrCcAvMgIwkgLXUpQWAgAAAIZBlBYKXEsAHp0RgJG0OD+nhaUVAQAAAOst75W6Iz2gmj8jAI/OCMDICtxNitJCAAAAwHrKi0PKe4cUuJYAPDojACOr5ttqxfsFAAAArKdGO1NYdQTgsRkBGFl131aUFsp7pQAAAID1kPdK5UWpwLUE4LEZARhp9a22WnFXAAAAwHpoxV3Vt9oC8PiMAIy0sOpoZycTAAAAsB7yotT5Z28SgMdnBGDkBe4mRWkhAAAAYJCitFDeO6TAtQTg8RkBGHk131Yr3i8AAABgkBrtTGHVEYAnZgRg5NV9W1FaKO+VAgAAAAYh75XKi1KBawnAEzMCMBbCiqNGJxMAAAAwCK24q/pWWwCOjRGAsVD3bTXjrgAAAIC1lvdKNe/qKqw6AnBsjACMjbpvqxl3BQAAAKylKC0UuJYAHDsjAGOj5s+oFXcFAAAArKVW3FXNnxGAY2cEYGwErqW+KC0EAAAArIW8VyovSgWuJQDHzgjAWKn5tlrxfgEAAABrodHJFFYcATg+RgDGSt231Yy7AgAAAFZb3isVpYXqvi0Ax8cIwNip+7aacVcAAADAaorSQoFrCcDxMwIwdsKKo0YnEwAAALCaWnFXNX9GAI6fEYCxMzs9pVlrSlFaCAAAAFgNUVqoL3AtATh+RgDGUs231Yr3CwAAAFgNjXamsOoIwIkxAjCW6r6tKC2U90oBAAAAJyPvlcqLUoFrCcCJMQIwtupbbbXirgAAAICT0Yq7qm+1BeDEGQEYW2HV0c5OJgAAAOBE5b1SUVqo5tsCcOKMAIy1um+rGXcFAAAAnIi8OKS+2ekpAThxRgDG2vnuJt2RHhAAAABwIhrtTGHVEYCTYwRgrNV9W1FaKO+VAgAAAI5H3iuVF6UC1xKAk2MEYOyFFUeNTiYAAADgeDQ6mcKKIwAnzwjA2Kv7tppxVwAAAMCxynulorRQ3bcF4OQZAZgIdd9WM+4KAAAAOBZRWihwLQFYHUYAJkLNn1Er7goAAAA4Fq24q5o/IwCrwwjARAhcS31RWggAAAB4PFFaqC9wLQFYHUYAJkbNt9WK9wsAAAB4PI12prDqCMDqMcLEu/fee3XHHXfoU5/6lL70pS/p4MGDwniq+7aitFDeKwUAAAA8mrxXKi9KBa4lAKvHCBPrgQce0Pvf/36df/75+pM/+RNdccUVqtfruuCCC/SpT31KGE9hxVGjkwkAAAB4NK24q/pWWwBWlxEm1tLSkj70oQ/p9NNP16WXXqq3v/3t+p3f+R3dd999uuqqq7Rv3z5h/NR9W824KwAAAOCR8l6p5l1dhVVHAFaXESbWhz70IfV9+MMf1uWXX66FhQXdfPPNOvfcc/XAAw/os5/9rDCe6r6tZtwVAAAA8HBRWihwLQFYfUaYSPfee6/uvfdeOY6j3/3d39XDvfjFL1bff//3fwvjqebPqBV3BQAAADxcK+6q5s8IwOozwkQ69dRT9Y53vENve9vb9Ehf+cpX1Pfc5z5XGE+Ba6kvSgsBAAAAfVFaqC9wLQFYfUaYSNPT03rFK16hCy64QH379u3Trbfeqte97nX67Gc/q3POOUfbt28XxlfNt9WK9wsAAADoa7QzhVVHANaGEfAT1157ra688kp94QtfUN9ll12mTZs26Xh4nifP8+R5njzPk+d58jxPnucJw6fu24rSQnmvFAAAACZb3iuVF6UC1xKGj+d58jxPnufJ8zx5nifP8+R5njzPE0aDEfATb37zm3X99ddrx44despTnqI3vOENes973qPjkSSJkiRRkiRKkkRJkihJEiVJIgyn+lZbrbgrAAAATLYoLRS4ljCckiRRkiRKkkRJkihJEiVJoiRJlCSJMBqMgJ8499xzVa1W9cY3vlE33XSTjDFaWlrS4cOHhfEVVh3t7GQCAADA5Mp7pVpxV2HFEYC1Y4SJtGfPHl155ZXqdDp6pHPPPVeu6+rQoUPat2+fMN7qvq1m3BUAAAAmU14cUt/s9JQArB0jTKQDBw7o1ltv1Q033KBHc/DgQfU95SlPEcZbzZ9RK+4KAAAAk6nRzhRWHQFYW0aYSL/xG7+hvpWVFX31q1/VwzWbTX3nO9/Rhg0btHnzZmG8Ba6lvigtBAAAgMmS90rlRanAtQRgbRlhIm3evFkXX3yx+mq1mi6//HK9+93v1vz8vK655hr1hWGo0047TRh/Nd9WK94vAAAATJZGJ1NYcQRg7RlhYl111VW6/PLL9aQnPUm33367Wq2W9u3bJ9d1df311+sP//APhclQ9201464AAAAwWaK0UN23BWDtGWFinX766br00kv11a9+VUmSKEkSJUmi22+/XdVqVZgsdd8WAAAAJkvgWgIwGEYA8BOL83M65f/bIwAAAIy/vFdqYWlFNX9GAAbDCAAeUvdtNeOuAAAAMN7y4pDy3iEFriUAg2EEAA+p+TNqxV0BAABgvDXamcKqIwCDYwQADwlcS31RWggAAADjKe+VyotSgWsJwOAYAcDD1HxbrXi/AAAAMJ4anUxhxRGAwTICgIep+7aitFDeKwUAAIDxkvdKRWmhum8LwGAZAcAj1LfaasVdAQAAYLy04q7qW20BGDwjAHiEsOpoZycTAAAAxkfeKxWlhWq+LQCDZwQAj6Lu22rGXQEAAGA8RGmh2ekNmp2eEoDBMwKAR1HzZ9SKuwIAAMB4aMVd1fwZAVgfRgDwKALXUl+UFgIAAMBoi9JCfYFrCcD6MAKAx1DzbbXi/QIAAMBoa7QzhVVHANaPEQA8hrpvK0oL5b1SAAAAGE15r1RelApcSwDWjxEAPI6w4qjRyQQAAIDR1OhkCiuOAKwvIwB4HHXfVjPuCgAAAKMn75WK0kJ13xaA9WWEdXX06FGtrKzoox/9qF7/+tfrFa94hS688EI9//nP1/bt21Wr1fSud71Ln/vc53TfffcJWA9131Yz7goAAACjJUoLBa4lAOvPCOvi+9//vhYXF3XhhRfqpS99qd773vfqc5/7nP793/9d3/72t3XvvffqP//zP/XlL39ZN998s17/+tfrec97nt70pjdp3759AgYprDhqdDIBAABgtLTirmr+jACsPyMM1OHDh/XRj35UQRDoPe95j/7nf/5HGzdu1DnnnKNKpaKFhQVdddVVuuaaa/Rnf/Znuuiii/Tc5z5XZ511lo4cOaLPfOYzmp+f1+te9zp95zvfETAIs9NTmrWmFKWFAAAAMBqitFBf4FoCsP6MMDD79+/Xi1/8Yr33ve/Vhg0bdMkll+gf/uEfFMexbrvtNn3wgx/U29/+dr3mNa/RRRddpDe84Q265ppr9LGPfUyf//zn9cUvflFXXXWVfuu3fktf+MIX9KIXvUhf+MIXBAxCzbfVivcLAAAAo6HRzhRWHQEYDkYYmHvvvVc/+MEPdOWVV2rPnj1661vfqrm5OR2r6elpveY1r9Hf/d3f6aabbtLs7KySJBEwCHXfVpQWynulAAAAMPzyolTgWgIwHIwwMGeffbb+5V/+Ra997Wt1+umn63jdfffd+sEPfqC+5z//+brtttv0qle9SsCghBVHjU4mAAAADLeFpRWFFUcAhocRBmbDhg3asGGDHu7mm2/WLbfcosdz5MgRfeQjH9HFF1+s++67Tz91yimn6IwzzhAwKHXfVpQWynulAAAAMJzyXqkoLVT3bQEYHkZYV/fdd5927typN77xjfrBD36gR/rf//1f1et1XXvttbr//vsFrLf6VlutuCsAAAAMp1bcVX2rLQDDxQjranZ2VsYY7d69WxdddJHuvvtu/dRnP/tZbd++XXfeeaf6LrroIj396U8XsJ7CqqOdnUwAAAAYPnmvVPOursKqIwDDxQjravv27Wq1WpqZmdG3vvUtzc/Pq9ls6qqrrtIb3vAG3XfffXr605+uG2+8Uddcc41OP/10Aeut7ttqxl0BAABguERpocC1BGD4GGHdPfe5z9Xy8rKq1ap+/OMf65prrtEnP/lJ9W3fvl233367giAQMCzCiqNGJxMAAACGSyvuqubPCMDwMcJQ2LhxoxYWFjQ1NaWf2rRpk173utdp48aNAobJ7PSUZq0pRWkhAAAADIcoLdQXuJYADB8jrLvDhw/r2muv1ate9SqVZanp6Wk97WlP04EDB/Syl71MN9xwgx544AEBwySsOmq0MwEAAGA4NNqZwqojAMPJCOvqm9/8pl72spfpIx/5iI4cOaLnPe95Wl5e1mc+8xlt27ZN999/vz7wgQ/o5S9/ub7xjW8IGBaBa6kvSgsBAABgfeW9UnlRKnAtARhORlhXu3fvVpIkOvXUU/WmN71JN910k572tKdp06ZN2rVrl66++mqdccYZuvvuu3XRRRfpu9/9roBhUfNtteL9AgAAwPpaWLpHi/NzAjC8jDAwR44c0Y9+9CM90llnnaWPf/zj+tM//VMZY/RwF198sf7+7/9ev/7rv64f//jH+tGPfqSfOnr0qA4dOiRgvdR9W1FaKO+VAgAAwPrIe6XyolTgWgIwvIwwMPfcc4+2bdumT33qU3rggQfU9/znP1//+I//qGc/+9l6LI7j6JOf/KQuvfRSPfnJT1bf3r179Ud/9Ef6+Mc/LmA9hRVHjU4mAAAArI9W3FV9qy0Aw80IAzM9Pa0jR47oiiuu0Ite9CLdeOONOvPMM7Vx40Y9kdNOO01//Md/rN27d2t+fl4LCwv6r//6L7muK2A91X1bzbgrAAAADF7eK9W8q6uw6gjAcDPCwJx11lm6/fbbdfHFF+tb3/qWrrvuOr3whS/UhRdeqFqtpiuvvFI33HCDlpeX9ZnPfEYf+chHFIahLrnkElUqFZ133nnauXOn9u3bpxe/+MW6/fbbdcEFFwhYb3XfVjPuCgAAAIMVpYUC1xKA4WeEgdq4caOuvvpqffrTn9YrX/lKTU1N6dvf/ra+/OUv69Zbb9UHPvABvfnNb9ab3vQmXXvttVpaWtK//du/6Vvf+pZOO+00vfzlL9enP/1pXXfddbJtW8AwWJyf08LSigAAADA4ea/UHekB1fwZARh+RlgXZ599tnbu3KkvfvGLuvHGG3XJJZfI9305jqONGzfqqU99qn71V39Vz3nOc/TqV79aN9xwg/bu3at3vvOdetazniVg2NR9W824KwAAAAxGXhxS3jukwLUEYPgZYV09+clPVhAEeutb36q//du/1T//8z8rjmPddddd6nQ6+sQnPqG/+Iu/0IUXXqinPOUpAoZVzZ9RK+4KAAAAg9FoZwqrjgCMBiMM1CWXXKLXvOY1Onr0qPq+8pWv6IMf/KC+/vWvCxhlgWupL0oLAQAAYG1FaaG+wLUEYDQYYWCOHj2qL33pS7r77rt15MgR9d15553atWuXvv71rwsYdTXfViveLwAAAKytRjtTWHUEYHQYYWBOOeUUPfvZz9YPf/hDvfOd79SePXv0H//xH+pLkkR79uzRnj17tGfPHu3Zs0d79uzRnj17tGfPHu3Zs0d79uxRWZYChlXdtxWlhfJeKQAAAKydvCgVuJYAjA4jDNQLX/hC9X3iE5/Qjh079LnPfU59n/jEJ7Rjxw7t2LFDO3bs0I4dO7Rjxw7t2LFDO3bs0I4dO7Rjxw793//9n4BhFlYcNTqZAAAAsDYWllYUVhwBGC1GGKhXv/rV2rFjh7Zs2aLNmzfrl3/5l9V35plnavPmzdq8ebM2b96szZs3a/Pmzdq8ebM2b96szZs3a/PmzTrttNMEDLO6bytKC+W9UgAAAFhdea9UlBaq+7YAjBYjDNTU1JTe+MY36pZbbtHy8rJe+cpXqu+yyy7T8vKylpeXtby8rOXlZS0vL2t5eVnLy8taXl7W8vKyzjzzTAHDrr7VVivuCgAAAKurFXdV32oLwOgxwrp6xjOeofPOO09nnnmmgHERVh3t7GQCAADA6sl7pZp3dRVWHQEYPUZYVy996UvVbDZ1wQUXCBgndd9WM+4KAAAAqyNKCwWuJQCjyQgA1sDi/JwWllYEAACAk5f3St2RHlDNmLawHAAAIABJREFUnxGA0WQEAGuk7ttqxl0BAADg5ERpob7AtQRgNBkBwBqp+TNqxV0BAADg5LTirmr+jACMLiMAWCOBa6kvSgsBAADgxERpob7AtQRgdBkBwBoKq44a7UwAAAA4MY12prDqCMBoMwKANRS4lvqitBAAAACOT94rlRelAtcSgNFmBABrrObbasX7BQAAgOOzsHSPFufnBGD0GQHAGqv7tqK0UN4rBQAAgGOT90rlRanAtQRg9BkBwACEFUeNTiYAAAAcm0YnU1hxBGA8GAHAANR9W1FaKO+VAgAAwOPLe6WitFDdtwVgPBgBwIDUt9pqxV0BAADg8UVpocC1BGB8GAHAgIRVRzs7mQAAAPDY8l6pRifT4vycAIwPIwAYoLpvqxl3BQAAgEcXpYUC1xKA8WIEAAO0OD+nRicTAAAAHt0d6QHV/BkBGC9GADBggWupGXcFAACAn9eMu+oLXEsAxosRAAxYWHHU6GQCAADAz2vFXdX8GQEYP0aYeN/73vd055136tZbb9WXvvQlfe973xOwlmanpzRrTSlKCwEAAOBBUVqoL3AtARg/RphYR48eVbPZ1O/93u/pta99ra688krV63VdcMEFuvnmmwWspbDqqNHOBAAAgAc12pnCqiMA48kIE2tpaUnXXHONjhw5ote+9rW6+uqrtX37dh08eFDvete7tHv3bgFrJXAt9UVpIQAAgEkXpYX6AtcSgPFkhIn0wAMPaNeuXep7z3veoyuvvFIXX3yx3ve+9+myyy5T38c+9jEBaymsOmq0MwEAAEy6RjtTWHUEYHwZYSJ9+9vf1ne/+12dddZZeslLXqKHe9nLXqa+lZUVAWspcC31RWkhAACASRWlhfoC1xKA8WWEifTDH/5Qz3zmM3XeeefplFNO0cN973vfU99Tn/pUAWut5ttqxfsFAAAwqRrtTGHVEYDxZoSJNDc3p927d+vd7363HqnVaqnvt3/7t3U8PM+T53nyPE+e58nzPHmeJ8/zBDyWum8r7x1SlBYCAACYNHmvVF6UClxLwGPxPE+e58nzPHmeJ8/z5HmePM+T53nCaDACHnLkyBH95V/+pW677Tb90i/9kv78z/9cxyNJEiVJoiRJlCSJkiRRkiRKkkTA46n5tlrxfgEAAEyaRidTWHEEPJ4kSZQkiZIkUZIkSpJESZIoSRIlSSKMBiPgJ9I01ate9SrddNNNOuOMM/ShD31IZ599toBBqPu2orRQ3isFAAAwKfJeqSgtVPdtARh/RphoDzzwgG688Ua99KUv1b59+3Tuuefqtttu0wte8AIBgxRWHDU6mQAAACZFo5MprDgCMBmMMLEOHz6syy+/XNddd52e9KQn6eqrr9bS0pJmZ2cFDFrdtxWlhfJeKQAAgHGX90pFaaG6bwvAZDDCxPqrv/ortdttPetZz9Ly8rIuvvhinXLKKQLWS1hx1OhkAgAAGHeNTqaw4gjA5DDCROp2u7r55pt1xhlnqNlsyrZtAeut7ttqxl0BAACMs7xXKkoL1X1bACaHESbSnXfeqcOHD+vo0aN6y1veooWFBS0sLGhhYUELCwtaWFjQFVdcIWDQdlYcNdqZAAAAxlWUFgpcSwAmixEm0j333KO+Q4cOae/evdq7d6/27t2rvXv3au/evdq7d6/uuusuAYMWVh3t7GQCAAAYR3mvVKOTaXF+TgAmixEm0hVXXKEkSZQkiZIkUZIkSpJESZIoSRIlSaJOpyNgPdR9W824KwAAgHETpYUC1xKAyWMEAENmcX5OC0srAgAAGCd5r1Qr7mpxfk4AJo8RAAyhum+rGXcFAAAwLqK00Oz0BgGYTEYAMIQW5+e0sLQiAACAcZD3SrXirsKKIwCTyQgAhlTdt9WMuwIAABh1UVpodnqDZqenBGAyGQHAkAorjhqdTAAAAKMs75W6Iz2gmj8jAJPLCACG1Oz0lALXUjPuCgAAYFRFaaG+wLUEYHIZAcAQCyuOGp1MAAAAoyjvlbojPaCaPyMAk80IAIbY7PSUAtdSM+4KAABg1ERpob7AtQRgshkBwJALK44anUwAAACjJO+VuiM9oJo/IwAwAoAhNzs9pcC11Iy7AgAAGBVRWqgvcC0BgBEAjICaP6NW3BUAAMCoaMVd1fwZAUCfEQCMgMC11BelhQAAAIZdlBbqC1xLANBnBAAjIqw6arQzAQAADLtGO1NYdQQAP2UEACMicC31RWkhAACAYRWlhfoC1xIA/JQRAIyQsOqo0c4EAAAwrBrtTGHVEQA8nBEAjJDAtdQXpYUAAACGTZQW6gtcSwDwcEYAMGLCqqNGOxMAAMCwabQzhVVHAPBIRgAwYgLXUl+UFgIAABg2gWsJAB7JCABGUFh11GhnAgAAGBYX3PA1hVVHAPBojABgBAWupb4oLQQAALDeorRQX+BaAoBHYwQAIyqsOmq0MwEAAKy3RjtTWHUEAI/FCABGVOBa6ovSQgAAAOslSgv1Ba4lAHgsRgAwwsKqo0Y7EwAAwHpptDOFVUcA8HiMAGCEBa6lvigtBAAAMGhRWqgvcC0BwOMxAoARF1YdNdqZAAAABq3RzhRWHQHAEzECgBEXuJb6orQQAADAoERpob7AtQQAT8QIAMZAWHXUaGcCAAAYlEY7U1h1BADHwggAxkDgWuqL0kIAAABrLUoL9QWuJQA4FkYAMCbCqqNGOxMAAMBaa7QzhVVHAHCsjABgTASupb4oLQQAALBWorRQX+BaAoBjZQQAYySsOmq0MwEAAKyFvFeqFe9XWHUEAMfDCADGSOBa6ovSQgAAAKstSgv1Ba4lADgeRgAwZhbnz9HC0ooAAABWU94rdUd6QDV/RgBwvIwAYMzMTk8pcC01464AAABWS5QW6gtcSwBwvIwAYAyFFUeNTiYAAIDVckd6QDV/RgBwIowAYAzNTk8pcC01464AAABOVjPuqi9wLQHAiTACgDEVVhw1OpkAAABORt4rdUd6QDV/RgBwoowAYEzNTk8pcC01464AAABOVJQW6gtcSwBwoowAYIwtzs9pYWlFAAAAJyLvlWrFXYUVRwBwMowAYMztrDhqtDMBAAAcrygtNDu9QbPTUwKAk2EEAGMurDra2ckEAABwPPJeqUYn0+L8nADgZBkBwATYWXHUaGcCAAA4VlFaKHAtAcBqMAKACRBWHTXv6irvlQIAAHgiea9Uo5NpcX5OALAajABgQoQVR41OJgAAgCfS6GQKK44AYLUYAcCEqPu2orRQ3isFAADwWPJeqSgtVPdtAcBqMQKACRJWHDU6mQAAAB5Lo5MprDgCgNVkBAATpO7bitJCea8UAADAI+W9UlFaqO7bAoDVZAQAEyasOGp0MgEAADxSo5MprDgCgNVmBAATpu7bynuHFKWFAAAAfirvlYrSQnXfFgCsNiMAmEA131Yr3i8AAICfWli6R4vzcwKAtWAEABOo7tvKe4cUpYUAAACitFBf4FoCgLVgBAAT6vOXbVGjnQkAAKDRzhRWHQHAWjECgAkXpYUAAMDkitJCfYFrCQDWihEATLCw6qjRzgQAACZXo50prDoCgLVkBAATLHAtzU5vUDPuCgAATJ5m3NXs9AYFriUAWEtGADDhwoqjRicTAACYLHmvVCvuKqw4AoC1ZgQAE252ekqBa6kZdwUAACZHlBaand6g2ekpAcBaMwIAaHF+TgtLKwIAAJMh75VqdDItzs8JAAbBCADw/+ysOGq0MwEAgPHXiruqb7UFAINiBAD4f8Kqo+ZdXeW9UgAAYHzlvVLNu7oKq44AYFCMgIdkWaZbbrlF9913n4BJFVYcNTqZAADA+Gp0MoUVRwAwSEbAQ66//nrt3LlT3/zmNwVMqrpvK+8dUpQWAgAA4yfvlYrSQnXfFgAMkhEm3sGDB3X99dfr9ttvFwCp5ttqxfsFAADGz8LSPVqcnxMADJoRJta//uu/avv27TrvvPP013/91wLwoLpvK+8dUpQWAgAA4yNKC/UFriUAGDQjTKyjR4/q/vvv16/8yq/omc98pk477TQBeFBYddRoZwIAAOOj0c4UVh0BwHowwsQ6//zztXv3bu3evVu7d+/W7//+7wvAgwLXUl+UFgIAAKMvSgv1Ba4lAFgPRsAq8TxPnufJ8zx5nifP8+R5njzPEzCKFufP0cLSigAAwGjLe6Va8X6FVUfAKPI8T57nyfM8eZ4nz/PkeZ48z5PnecJoMAJWSZIkSpJESZIoSRIlSaIkSZQkiYBRNDs9pcC11Iy7AgAAoytKC/UFriVgFCVJoiRJlCSJkiRRkiRKkkRJkihJEmE0GAEAHtPi/JwWllYEAABGU94r1ehkWpyfEwCsJyMAwOOq+7YWllYEAABGT6OTKXAtAcB6MwIAPK7F+Tk1467yXikAADA68l6pKC20OD8nAFhvRgCAJ7Q4P6dGJxMAABgdC0v3KKw4AoBhYAQAeEJ131aUForSQgAAYPhFaaG8KFX3bQHAMDACAByTsOKo0c4EAACGX6OdaXF+TgAwLIyAh5x66qkC8Njqvq2+ZtwVAAAYXs24q77AtQQAw8IIeMiuXbuUJIme85znCMCjC6uOGp1MAABgOOW9Uo1OprDqCACGiREA4JgFrqVZa0qNdiYAADB8orRQ4FoKXEsAMEyMAADHZXH+HO3sZMp7pQAAwPDIe6UanUxhxREADBsjAMBxmZ2e0s6Ko0YnEwAAGB6NTqbAtTQ7PSUAGDZGAIDjFlYdRWmhKC0EAADWX94rFaWFFufnBADDyAgAcELCiqNGOxMAAFh/C0v3KKw4AoBhZQQAOCF131ZflBYCAADrJ0oL5UWpum8LAIaVEQDghIVVR412JgAAsH4a7UyL83MCgGFmBAA4YYFrqa8ZdwUAANZP4FoCgGFmBAA4KYvz52hhaUUAAGCw8l6pC274msKqIwAYdkYAgJMyOz2lum9rYWlFAABgcBqdTLPTGxS4lgBg2BkBAE7a4vycmnFXUVoIAACsvbxXKkoLLc7PCQBGgREAYFUszs+p0c4EAADW3sLSPQorjgBgVBgBAFZF3bfVF6WFAADA2onSQnlRqu7bAoBRYQQAWDVh1dHC0ooAAMDayHulGu1Mi/NzAoBRYgQAWDWBa2nWmlKjnQkAAKy+KC00O71BgWsJAEaJEQBgVS3On6OdnUx5rxQAAFg9ea9Uo5MprDgCgFFjBABYVbPTU9pZcdToZAIAAKun0clU32prdnpKADBqjAAAqy6sOorSQlFaCAAAnLy8VypKC4VVRwAwiowAAGsirDhqtDMBAICTt7B0j8KKIwAYVUYAgDVR9231NeOuAADAiWvGXfXVfVsAMKqMAABrJqw6WlhaEQAAODF5r1Qr7iqsOgKAUWYEAFgzgWup7ttqtDMBAIDj14q7mp3eoMC1BACjzAgAsKYW5+e0s5Mp75UCAADHp3lXV2HFEQCMOiMAwJpbnJ/TwtI9AgAAx+6CG76msOJodnpKADDqjAAAa67u2+qL0kIAAOCJRWmhvChV920BwDgwAgAMRFh1tLC0IgAA8PjyXqmFpRUtzs8JAMaFEQBgIALXUuBaarQzAQCAx9aKuwpcS4FrCQDGhREAYGAW5+e0s5MpSgsBAIBflPdKNe/qanF+TgAwTowAAAO1OD+nRjsTAAD4RQtL9yisOAKAcWMEABioum+rL0oLAQCAn2nGXeVFqbpvCwDGjREAYODCqqOFpRUBAIAH5b1Srbirxfk5AcA4MgIADFzgWgpcS412JgAAILXirmanNyhwLQHAODICAKyLxfk57exkitJCAABMsrxXqnlXV4vzcwKAcWUEAFg3i/NzarQzAQAwyRaW7lFYcQQA48wIALBu6r6tvigtBADAJGrGXfXVfVsAMM6MAADrKqw6WlhaEQAAkybvlWrFXYVVRwAw7owAAOsqcC0FrqWFpRUBADBJWnFXs9MbFLiWgP+fPfiJrQTB7nr/nRuYuJsNNpCoBj3JNxYy7gXSHKqRYonEZ4TGEhJrjABhIxZdZ8WDrPDi9kUqCRajSBGcamVzXYtWe0EkpAAj94LjIFER49LpFVWyhHWvMoK7ILkOQ+i+GsjMix+PxyR0Znq664///D4fkdtugIiIvHaTvS1OLy45vbhERETkrjh6Omeyt4WIyF0wQEREroXJ3hbjkykiIiK33WyxxLMZfX2IiMhdMUBERK6FnY1VrhydzREREbnNTi8uubL/9j1ERO6KASIicm1M9t7i4Pg5s8USERGR22i2WDL+cMpk7y1ERO6SASIicm2sr63w7teHHBw/Q0RE5DYafzhl//491tdWEBG5SwaIiMi1MtodcuX04hIREZHb5PTiktOLS0a7Q0RE7poBIiJy7Yx2hxwcP0dEROS2mC2WjE+mTPa2EBG5iwaIiMi1s7Oxys7GKuOTKSIiIrfB47M562tvsLOxiojIXTRARESupcneFkdP55xeXCIiInKTzRZLjp7OmextISJyVw0QEZFra7K3xfhkioiIyE01Wyw5OH7GZG8LEZG7bICIiFxbOxurXDk6myMiInITnV5ccmVnYxURkbtsgIiIXGuTvbc4OH7ObLFERETkJpktlow/nDLZewsRkbtugIiIXGvraytM9rY4OH6GiIjITXJw/Iz9+/dYX1tBROSuGyAiItfe/tv3uHJ6cYmIiMhNcHQ2Z3a5ZLQ7REREYICIiNwIFcbB8XNERESuu9liyeOzOdPDbURE5H8aICIiN8b+/XscHD9HRETkOht/OGVnYxUREfnfBoiIyI0x2h0yW3zC6cUlIiIi19HpxSWnF5eMdoeIiMj/NkBERG6U0e6Qg+PniIiIXDezxZLxyZTJ3hYiIvL7DRARkRtlZ2OV/fv3ODh+joiIyHXy+GzO+tob7GysIiIiv98AERG5cUa7Q04vLjm9uEREROQ6mC2WHD2dM9nbQkRE/k8DRETkRprsbXFw/BwREZHXbbZYcnD8jMneFiIi8ukGiIjIjbSzscrOxirjkykiIiKv0+OzOetrb7CzsYqIiHy6ASIicmNN9rY4ejrn9OISERGR12G2WHL0dM5kbwsREfnDDZA77zvf+Q7f+ta3+JVf+RX+7b/9t/zWb/0WInJzTPa2GJ9MERERedVmiyUHx8+Y7G0hIiI/3AC5037lV34Fd+dv/s2/yT/4B/+Av/23/zY7Ozv88i//MiJyM+xsrHJlfDJFRETkVXp8Nmd97Q12NlYREZEfboDcWU+fPuXw8JDf+Z3f4S//5b/Mu+++y1/9q3+V//7f/zvf+MY3+NVf/VVE5GaoMN79cMrpxSUiIiKvwmyx5OjpnMneFiIi8qMNkDvr0aNHfP/73+ev//W/zi/+4i/y1/7aX+Mf/sN/yC/8wi9w5dGjR4jIzVHxVcYnU0RERF622WLJwfEzRl8fIiIin80AuZO++93v8q1vfYsrf+fv/B1+0N/4G3+DlZUVLi4u+E//6T8hIjfDzsYqV8YnU0RERF6m04tL1tfeYP/te4iIyGczQO6k//gf/yPf/e53+VN/6k/xla98hR+0srLCn/2zf5Yr0+kUEbk5Kox3P5xyenGJiIjIyzBbLBl/OGX09SEiIvLZDZA76Td/8ze58tM//dN8mp/6qZ/iym/91m/xWXz7Z/9v3tx/jzf33+PN/fd4c/893tx/jzf33+PN/ffwbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8azWV9b4eD4OZ6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Np6NZ+PZeDaejWfj2Xg2no1n49l4Nv6ouXJw/AzPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbDwbz8az8Ww8G8/Gs/FsPBvPxrPxbN7cf48399/jzf33eHP/Pd7cf48399/jzf33eHP/PeRmGCB30ve+9z2u/NE/+kf5ND/5kz/Jle9+97t8Fv/Xr/8iHx+9w8dH7/Dx0Tt8fPQOHx+9w8dH7/Dx0TtUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhTA+3WV9dYWdjlQqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8LGSi2BAAAgAElEQVSoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPCqDAqjAqjwqgwKowKo8KoMCqMCqPC2NlYZWdjlenhNhVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgVRoVRYVQYFUaFUWFUGBVGhVFhVBgfH73Dx0fv8PHRO3x89A4fH73Dx0fv8PHRO3x89A5yMwyQO+l73/seP8zv/u7vcuVLX/oSInLzVBhHT+ecXlwiIiLyIswWS46ezpnsbSEiIj++AXInffnLX+bKxx9/zKdZLpdc+fKXv4yI3EyTvS3GJ1NERES+qNliycHxMyZ7W4iIyOczQO6kn/qpn+LKt7/9bb7//e/zB02nU6789E//NCJyM+1srLK+9gbjkykiIiJfxOOzOetrb7CzsYqIiHw+A+RO+spXvsIf+2N/jI8//ph//+//PT/oN3/zN/mN3/gNvvSlL/EzP/MziMjNNdnb4ujpnNOLS0RERD6P2WLJ0dM5k70tRETk8xsgd9JP/MRP8Bf/4l/kyj/+x/+Y733ve/wv/+gf/SN+93d/lz/35/4cf/JP/klE5Gab7G1xcPwcERGRH9dsseTg+BmTvS1EROSLGSB31t/9u3+Xn/zJn+Rb3/oWP/dzP8ff+3t/j7/0l/4Sv/qrv8qXvvQlfuEXfgERufl2NlbZv3+Pg+PniIiI/Dgen81ZX3uDnY1VRETkixkgd9ZwOOTo6Ig/82f+DP/5P/9n/uW//Jd8+9vf5itf+QqZyV/4C38BEbkdRrtDZotPOL24RERE5LM4vbjk6Omcyd4WIiLyxQ2QO83M+Bf/4l9wfn7O+fk55+fnVBVf+9rXEJHbZbQ75OD4OSIiIj/KbLFkfDJlsreFiIi8GANERORO2NlYZf/+PQ6OnyMiIvLDjD+csrOxys7GKiIi8mIMEBGRO2O0O2S2+ITTi0tERET+MKcXl4x2h4iIyIszQERE7pTJ3lt4fsRssUREROQHzRZLPJt6YIiIyIs1QERE7pT1tRUme1scHD9DRETkBx0cP2NnY5X1tRVEROTFGiAiInfO/tv3uDI+mSIiInLl6GzO+tobjHaHiIjIizdARETupArj6Omc04tLRETkbpstlow/nDLZ20JERF6OASIicmdN9rY4OH6OiIjcXbPFkoPjZ0z2thARkZdngIiI3Fk7G6vs37/HwfFzRETkbnp8Nmd97Q12NlYREZGXZ4CIiNxpo90hs8UnnF5cIiIid8vpxSVHT+dM9rYQEZGXa4CIiNx5k7238PwIERG5O2aLJeOTKZO9LURE5OUbICIid9762gqTvS08GxERuRsOjp+xs7HKzsYqIiLy8g0QERH5Pftv3+PK+GSKiIjcbkdnc9bX3mC0O0RERF6NASIiIv+fCuPo6ZzTi0tEROR2mi2WjD+cMvr6EBEReXUGiIiI/IDp4TbjkykiInI7HRw/Y7K3xfraCiIi8uoMEBER+QN2NlY5OH6OiIjcLuOTKTsbq+xsrCIiIq/WABERkT9gtDtktviE04tLRETkdjg6m3P0dM5od4iIiLx6A0RERD7FZO8tPD/i9OISERG52WaLJeMPp9QDQ0REXo8BIiIin2J9bYWKrzI+mSIiIjfXbLHk4PgZk70t1tdWEBGR12OAiIjIH2JnY5WdjVUOjp8jIiI30+OzOTsbq+xsrCIiIq/PABERkR9itDtktviE04tLRETkZjk6m3P0dM5od4iIiLxeA0RERH6Eyd5beH7EbLFERERuhtliyfjDKfXAEBGR12+AiIjIj7C+tkLFVzk4foaIiFx/s8WSg+NnTPa2WF9bQUREXr8BIiIin8HOxio7G6uMT6aIiMj19vhszvraG+xsrCIiItfDABERkc9otDvk9OKS04tLRETkejo6m3P0dM5kbwsREbk+BoiIiPwYJntv4fkRs8USERG5XmaLJeMPp9QDQ0RErpcBIiIiP4b1tRW+/42vcXD8DBERuV4Ojp8x+vqQ9bUVRETkehkgIiLyOexsrOLZiIjI9TA+mbKzscr+2/cQEZHrZ4CIiMjnMNodcuX04hIREXm9js7mnF5cMtodIiIi19MAERGRz6nCODh+zunFJSIi8nrMFkvGH06Z7L2FiIhcXwNERES+gMneFgfHzxERkVdvtlhycPyMyd4W62sriIjI9TVARETkC9jZWGWyt4VnIyIir85sseTg+Bk7G6vsbKwiIiLX2wAREZEvaGdjlSvjkykiIvJqPD6bs772BqPdISIicv0NEBEReQEqjNOLS04vLhERkZfr6GzO0dM5k70tRETkZhggIiLygkz23sLzI04vLhERkZdjtlgy/nBKPTBEROTmGCAiIvKCrK+tUPFVDo6fIyIiL95ssWT84ZTJ3hbrayuIiMjNMUBEROQF2tlYZf/+PTwbERF5sR6fzVlfXWFnYxUREblZBoiIiLxgo90hV8YnU0RE5MU4Opszu1wy2h0iIiI3zwAREZGXoMI4vbjk9OISERH5Yo7O5ow/nDL6+hAREbmZBoiIiLwkk7238PyI04tLRETk85ktlow/nFIPjPW1FURE5GYaICIi8pKsr61Q8VUOjp8jIiI/vtliycHxMyZ7W6yvrSAiIjfXABERkZdoZ2OV/fv38GxEROSzmy2WHBw/Y2djlZ2NVURE5GYbICIi8pKNdodc8WxEROSzeXw2Z33tDUa7Q0RE5OYbICIi8gpUGFeOzuaIiMgPNz6ZcvR0zmRvCxERuR0GiIiIvCKTvbcYfzjl9OISERH5dKcXlxw9nVMPDBERuT0GiIiIvCLraytM9rbw/IjTi0tEROT3my2WHBw/Z7K3xfraCiIicnsMEBEReYV2Nlap+CoHx88REZH/bbZY4o+a/fv32NlYRUREbpcBIiIir9jOxir79+/h2YiIyP90cPyM/fv3GO0OERGR22eAiIjIazDaHXLl4Pg5IiIC62tvMNodIiIit9MAERGR16TCmC0+4ehsjojIXTU+mTJ8+ITJ3hYiInJ7DRAREXmNKozHZ3NOLy4REblrjs7mHD2dUw8MERG53QaIiIi8ZpO9t/D8iNOLS0RE7orZYsn4wyn1wFhfW0FERG63ASIiIq/Z+toKFV/l4Pg5pxeXiIjcdrPFkoPjZ0z2tlhfW0FERG6/ASIiItfAzsYqk70tDo6fIyJym80WSw6On7GzscrOxioiInI3DBAREbkmdjZW2b9/D89GROQ2mi2WHBw/Y2djldHuEBERuTsGiIiIXCOj3SHra2/g2YiI3DaPz+bsbKwy2h0iIiJ3ywAREZFrZrK3xZXxyRQRkdtifDJldrlktDtERETungEiIiLXUIVxenHJ0dkcEZGbbnwy5ejpnMneFiIicjcNEBERuaYqjMdnc04vLhERucmOns6pB4aIiNxdA0RERK6xyd5beH7E6cUlIiI3zWyxZPjwCfXAWF9bQURE7q4BIiIi19j62grTw208P+L04hIRkZtitljij5p6YKyvrSAiInfbAJEfMJ1O+eCDD/gv/+W/ICJyXayvrVDxVQ6On3N6cYmIyHU3Wyw5OH7GZG+L9bUVREREBoj8gF/6pV/i3Xff5T/8h/+AiMh1srOxymRvi4Pj54iIXGezxZKD42eMdofsbKwiIiJyZYDI7/lv/+2/8Uu/9Ev8q3/1rxARua52NlaZ7G0xfPgEEZHraLZYcnD8jJ2NVXY2VhEREflfBsid9m/+zb/hr/yVv8LP/uzP8k//6T9FROS629lYZfT1IZ6NiMh1MlssOTh+xs7GKqPdISIiIj9ogNxp3//+9/kf/+N/8Kf/9J/mZ37mZ/gjf+SPICJy3e2/fY+djVU8GxGR62C2WHJw/IydjVVGu0NERET+oAFyp/38z/883/zmN/nmN7/JN7/5TX7u534OEZGbYLQ7ZH3tDTwbEZHXabZY8vhszs7GKqPdISIiIp9mgMgLsrm5yebmJpubm2xubrK5ucnm5iabm5uIiLwMk70trhwcP0dE5HV5fDZndrlktDtERORl2NzcZHNzk83NTTY3N9nc3GRzc5PNzU02NzeRm2GAyAtyfn7O+fk55+fnnJ+fc35+zvn5Oefn54iIvCwVxmzxCQfHzxERedXGJ1OOns6Z7G0hIvKynJ+fc35+zvn5Oefn55yfn3N+fs75+Tnn5+fIzTBAbq3/+l//K++++y7vvvsu7777Lu+++y7vvvsu3/jGNxARuU0qjNniEw6OnyMi8qqMT6YcPZ0zPdxGRETkRxkgt9bv/M7v8MEHH/DBBx/wwQcf8MEHH/DBBx/wz//5P0dE5LapMGaLTzg4fo6IyMs2Pply9HTO9HAbERGRz2KA3Fp/4k/8Cd5//33ef/993n//fd5//33ef/99fvmXfxkRkduowpgtPuHg+DkiIi/L+GTK0dM508NtREREPqsBcmt9+ctf5v79+9y/f5/79+9z//597t+/z9bWFiIit1WFMVt8wsHxc0REXrTxyZSjp3Omh9uIiIj8OAaIiIjcMhXGbPEJB8fPERF5UcYnU46ezpkebiMiIvLjGiAiInILVRizxSeMT6aIiHxR45MpR0/nTA+3ERER+TwGiPyAn/iJn0BE5LaY7L3F6cUlR2dzREQ+r/HJlKOnc+qBISIi8nkNEPkB/+Sf/BPOz8/583/+zyMictOtr60w2XuLx2dzjs7miIj8uMYnU46ezqkHxvraCiIiIp/XABERkVtsfW2FCuPx2ZzxyRQRkc9qfDLl6Omc6eE262sriIiIfBEDRERE7oDJ3lucXlxycPwcEZEfZXwy5ejpnHpgiIiIvAgDRERE7oD1tRUqjNniEw6OnyMi8mlmiyXjkylHT+dMD7dZX1tBRETkRRggIiJyh1QYs8UneDYiIj9otljy+GzO0dM508NtREREXqQBIiIid0yFccWzERG5MlsseXw2Z3a5ZHq4jYiIyIs2QERE5A6qMK54NiJyt80WSx6fzZldLpnsbSEiIvIyDBAREbmjKowrno2I3E2zxZKD42fMLpdM9rYQERF5WQaIiIjcYRXG+tobeDYicvccHD9jZ2OVyd4WIiIiL9MAERGRO26yt8X62ht4NiJyN8wWS4YPn7Czscpod4iIiMjLNkBERESY7G3xt96+x/DhE04vLhGR22u2WHJw/Iz9+/cY7Q4RERF5FQaIiIjI/2v/7XtM9rY4OH7O6cUlInL7zBZLDo6fsbOxymh3iIiIyKsyQERERP5/OxurTPa28PyI04tLROT2OL24xB81o90ho90hIiIir9IAERER+X12NlaZHm7j+RFHZ3NE5OYbn0w5OH5OPTB2NlYRERF51QaIiIjI/2F9bYXp4TaPz+aMT6aIyM01Pply9HROPTDW11YQERF5HQaIiIjIp1pfW6HCOL245OD4OSJys8wWS8YnU46ezpkebrO+toKIiMjrMkBERER+qApjtvgEz0ZEbobZYsnjszmzyyXTw21ERERetwEiIiLyI1UY62tvMHz4BBG53maLJf6ouTLZ20JEROQ6GCAiIiKfyWRvi9HXhwwfPuH04hIRuX5miyUHx8/Yv3+P0e4QERGR62KAiIiIfGb7b99jsreF50ccnc0RketjfDLFHzV/6+17jHaHiIiIXCcDRERE5Meys7HK9HCbx2dzxidTROT1mi2WjE+mHD2dUw+M/bfvISIict0MEBERkR/b+toKFcbpxSWejYi8HrPFksdnc04vLpkebrO+toKIiMh1NEBEREQ+twpjZ2OV4cMnzBZLROTVmS2W+KPmSoUhIiJynQ0QERGRL2S0O2T09SH+qBGRV2O2WHJw/Iz9+/cY7Q4RERG57gaIiIjIF7b/9j0me1t86e//a8YnU0Tk5RmfTPFHzWTvLUa7Q0RERG6CASIiIvJC7GysMj3c5vTiEs9GRF6s2WLJ+GTK0dM508Nt1tdWEBERuSkGiIiIyAuzvrZChbGzscrw4RNOLy4RkS9utljij5or08NtREREbpoBIiIi8sKNdodM9rbw/IjxyRQR+fzGJ1P8UbN//x6j3SEiIiI30QARERF5KXY2VpkebnN6ccnB8XNE5MczWywZn0w5ejqnHhij3SEiIiI31QARERF5adbXVqgwrgwfPuH04hIR+dFmiyX+qLkyPdxmfW0FERGRm2yAiIiIvHSTvS1GXx/i+RFHZ3NE5A83Ppnij5r9+/cY7Q4RERG5DQaIiIjIK7H/9j2mh9uMP5zi2YjI7zdbLBmfTDl6OqceGKPdISIiIrfFABEREXll1tdWmB5us7OxyvDhE04vLhERmC2W+KPmyvRwm/W1FURERG6TASIiIvLKjXaHTPa28PyI8ckUkbtqtlgyPpnij5r9+/cY7Q4RERG5jQaIiIjIa7Gzscr0cJvTi0uGD59wenGJyF0yWyzxR83pxSX1wBjtDhEREbmtBoiIiMhrs762QoUx+voQz48Yn0wRuQvGJ1P8UbN//x4VxvraCiIiIrfZABEREXnt9t++x/Rwm9OLSzwbkdvMszl6OqceGKPdISIiInfBABEREbkW1tdWqDB2NlYZPnzC+GSKyG0yPpkyfPiEnY1VpofbrK+tICIiclcMEBERkWtltDukHhinF5d4NrPFEpGbbLZY4tkcPZ1TD4zR7hAREZG7ZoCIiIhcO+trK1QYf+vtewwfPmF8MkXkppktloxPpvijZmdjlenhNutrK4iIiNxFA0REROTa2n/7HtPDbWaXS4YPn3B6cYnITTBbLPFHzexyST0wRrtDRERE7rIBIiIicq2tr60w2dtisrfFwfFzxidTRK6r2WLJ+GSKP2r2799jsrfF+toKIiIid90AERERuRF2NlaZHm5zZfjwCUdnc0Suk6OzOQfHz7gyPdxmtDtERERE/qcBIiIicqOMdofUA+Px2ZzhwyecXlwi8jrNFks8m/GHUyqM0e4QERER+f0GiIiIyI2zvrZChTH6+hDPjxifTBF51WaLJeOTKf6o2dlYZXq4jYiIiHy6ASIiInJj7b99j+9/42tcGT58wvhkisjLNlssGZ9M8UfNlenhNqPdISIiIvKHGyAiIiI33mh3SD0wZpdLhg+fcHQ2R+RlODqb44+a2eWSemCMdoeIiIjIjzZAREREboX1tRUme1vUA+Px2RzPZrZYIvIizBZLPJvxh1Mme1tM9rZYX1tBREREPpsBIiIicqusr61QYYx2h/ijxrOZLZaIfB6zxZKD4+f4o6bCmB5us7OxioiIiPx4BoiIiMittLOxyvRwm9HuEH/UjE+mzBZLRD6L2WLJ+GSKP2p+fuOPMz3cRkRERD6/ASIiInKr7WysMj3c5oo/asYnU2aLJSKfZrZYMj6Z4o+aK9PDbfbfvoeIiIh8MQNERETkThjtDpkebnPFHzXjkyki/8tssWR8MsUfNVemh9uMdoeIiIjIizFARERE7pTR7pDp4TZXhg+fcHD8nNliidxNs8WSg+Pn+KPmyvRwm9HuEBEREXmxBoiIiMidNNodMj3c5uc3/jj+qBk+fMLR2Ry5/WaLJUdnczwbf9T8/MYfZ3q4zWh3iIiIiLwcA0RERORO23/7HtPDbeqB8WsXv83w4RPGJ1Pk9pktloxPphwcP+PXLn6b0e6Q6eE2+2/fQ0RERF6uASIiIiK/Z31thcneFvXAuDJ8+ITxyRS5HcYnU/xRc2Wy9xaTvS12NlYRERGRV2OAiIiIyA9YX1thtDukHhhXhg+fMHz4hPHJFLk5ZoslR2dzPJvhwydcmR5uM9odsr62goiIiLxaA0REREQ+xfraCqPdIdPDbeqBcWX48AnjkymzxRK5nmaLJeOTKf6o+bWL32a0O2R6uM1od4iIiIi8PgNEREREfoT1tRVGu0PqgXHFHzXDh08Yn0yR12+2WDI+meLZ+KPmyvRwm8neFjsbq4iIiMjrN0BERETkM1pfW2G0O2R6uE09MK586e//a4YPnzA+mSKvzmyx5Ohsjmfjj5oro90h08NtRrtDRERE5HoZICLymm1ubiLyRWxubiKv3vraCqPdId//xteoB8aVL/39f83w4RPGJ1NmiyU3xebmJjfBbLHk6GyOZ+OPml+7+G1Gu0Omh9uMdofsbKwir97m5iYiX8Tm5iYicvsNEPk93/nOd/h3/+7f8c/+2T/j13/91/nOd76DiIjIZ7W+tsJod8j3v/E16oFxxR81w4dPGJ9Mkc9vtlgyPpni2fij5tcufpvR7pDp4TaTvS12NlYRERGR6+//aQ/uY/0gCHOPf8+vUlgRVJgv1CyjRXysmaOpZyoyxLJ1OAeLi7E6tmHPYnaBmKsMsKZH0wOsvDgKjlUKbLhS7rmnFyElK6O3mAvKskN4kd7EafPN5FaHkyUUZwstjNKem/OHCTGoIJwF7fP5DKgD2tTUFOvWreOEE07gjDPOYHR0lGXLlrF48WLWr19PVVXVC3X0EYew8pR5bB99N3edtYhp81ZNMm/VJCMbtnHBlu18+/tPUc/t299/inX3P8LIhm0MnXsni9c+yLSVp8xj++i7+buPLOC9x7yGqqqq+vkyoA5oGzZs4JJLLmH//v2cccYZXHTRRZx22mns3r2bVatWsXnzZqqqqn5WRx9xCCtPmcf20Xdz11mLOOmYVzNt8doHmbdqkgu2bOeCLds5kH37+0+x7v5HGNmwjaFz72Tx2gf56kM/4KRjXs3U6pPZPvpuVp4yj/ce8xqqqqrq59eAOmDt27ePNWvWMO3SSy9ldHSUpUuXcvnll3P22Wcz7cYbb6SqquqlcPQRh7DsN45i5Snz2D76bu46axE/NHTuncxbNcniqx/kgi3b+cpD/8Evom9//ynW3f8IF2zZzsiGbSy++kEWr32Qrz70A0465tVMrT6Z7aPv5u8+soBlv3EUVVVV9YtjQB2wvvvd77Jjxw7mzp3LqaeeyrN98IMfZNq2bduoqqqaCUcfcQgrT5nHylPmMbX6ZO46axErT5nHtAu2bGfo3DuZt2qSxVc/yAVbtnPBlu38vFl3/yOMbNjG4qsfZOjcO1m89kG++tAPmHbSMa/mrrMXsX303fzdRxaw7DeOoqqqqn5xDagD1p49e5g/fz7HH388Q0NDPNuuXbuYdthhh1FVVfVf4egjDuG9x7yGlafM466zFzG1+mTuOmsRK0+Zxw8tvvpBhs69k3mrJpm3apLFVz/IBVu2c8GW7Xzlof/gv9K3v/8UX3noP1h3/yOMbNjGyIZtLL76QYbOvZN5qyaZt2qSrz70A0465tWsPGUeU6tPZvvou/m7jyxg5SnzWPYbR1FVVVUHjgF1wFqwYAGbN2/m4osv5kfdcMMNTDvuuON4vpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUjCtCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhGlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCSccvxx/Lf3v4v/+d/fx//87+/je3/1h7z5trMY+tJ5DH3pPL71P1by12v+mr9e89e8/6L/xeyzvsTQuXcydO6dDJ17J7PP+hKzz/oSc5Zdw5xl1/Cqpav45dP+nFctXcWrlq7iVUtX8aqlq/j3487gVUtX8aqlq3jV0juzZswAABehSURBVFW8aukqXrV0FXOWXcOcZdcwZ9k1zD7rSwydeydD597J7LO+xJtHN/H+i/4Xn/jLL/K//+Yy/vffXMa3/sdK3nzbWcxeP8Ls9SNMrvwAl/zxe/lv738XSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJGFaEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUjCtCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhPr5MKDqWfbv38/nPvc5Nm7cyEEHHcQnPvEJng8VFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFZX/938n+X//d5KHJzexY9MV7Nh0BXvWncnTaz/E1OqTmVp9MlOrT+bptR/i6bUfYs+6M9mz7kx23jTKjk1XsPOmUXbeNMrOm0bZedMoO28aZedNo+y8aZSdN42y86ZRdt40yp51Z7Jn3ZnsWXcmT6/9EFOrT2Zq9ck8vfZDPL32Q+xZdyY7bxrlkf+zjkf+zzoentyEioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKikq9/A2oX1iPP/44Y2NjjI2NMTY2xtjYGGNjY6xevZrn8tBDD3H66adz/fXXM2fOHNauXcub3vQmqqqqqqqqqurFGVC/sJ544gkmJiaYmJhgYmKCiYkJJiYmuPXWW3m2ffv2ce211/KBD3yArVu3snDhQjZu3MiJJ55IVVVVVVVVVb14A+oX1pFHHsn4+Djj4+OMj48zPj7O+Pg41113HT+0d+9ezjnnHK644goOPvhgLrroIjZs2MDRRx9NVVVVVVVVVb00BtQvrNmzZzM8PMzw8DDDw8MMDw8zPDzMggUL+KErr7ySLVu2cOyxx7Jp0yaWLl3K0NAQVVVVVVVVVfXSGVAHrEceeYT169czZ84c1q1bx1FHHUVVVVVVVVVVvfQG1AHr3nvvZe/evUxNTXH++eczMjLCyMgIIyMjjIyMMDIywooVK6iqqqqqqqqqF2dAHbC++c1vMu3JJ59kcnKSyclJJicnmZycZHJyksnJSR544AGqqqqqqqqq6sUZUAesFStWoKKioqKioqJyxx13UFVVVVVVVVUvzoCqqqqqqqqqqppRA6qqqqqqqqqqakYNqKqqqqqqqqqqGTWgqqqqqqqqqqpm1ICql8iuXbu49957ufnmm7nnnnvYtWsXVT+L7du3MzExwc6dO6n6cXbt2sV9993HLbfcwj/90z/x2GOPUfWz2L59OxMTE+zcuZOqF2LXrl3ce++93Hzzzdxzzz3s2rWLqufr0Ucf5atf/Sq33HIL99xzD7t376bqZ/Xoo48yMTHBP//zP1MvXwOqXqSpqSnWrVvHCSecwBlnnMHo6CjLli1j8eLFrF+/nqoX6qqrrmJsbIxvfetbVD2XW265hcWLF/Mnf/InrFixgj/90z/lve99L9dddx1VL9RVV13F2NgY3/rWt6h6Pqampli3bh0nnHACZ5xxBqOjoyxbtozFixezfv16qn6Sffv28fnPf56TTjqJP/uzP2PFihUsW7aMxYsXc8stt1D1Qk1NTfGpT32KsbExvvKVr1AvXwOqXqQNGzZwySWXsH//fs444wwuuugiTjvtNHbv3s2qVavYvHkzVc/H7t27ueqqq7j99tup+nEeeOABRkdHeeKJJ3j/+9/P2NgYH/7wh9m7dy+rV69m06ZNVD0fu3fv5qqrruL222+n6oXYsGEDl1xyCfv37+eMM87goosu4rTTTmP37t2sWrWKzZs3U/XjbNiwgbVr1zJ79mzOPPNMPv3pT/POd76TnTt38tnPfpatW7dS9ULceOONTE5OUi9/A6pehH379rFmzRqmXXrppYyOjrJ06VIuv/xyzj77bKbdeOONVP0kd999N6eddhrHH388X/jCF6j6SdauXcvU1BR/9Ed/xJVXXskf/uEfcuGFF3Leeecxbe3atVT9JHfffTennXYaxx9/PF/4wheoeiH27dvHmjVrmHbppZcyOjrK0qVLufzyyzn77LOZduONN1L146xdu5Zp11xzDeeccw4jIyOsX7+ehQsXsm/fPr785S9T9Xz9y7/8C5dffjlz5syhXv4GVL0I3/3ud9mxYwdz587l1FNP5dk++MEPMm3btm1U/SRTU1M888wzvPGNb2T+/Pm84hWvoOq5PP3009x3331M+9jHPsaz/fEf/zGHHHIIDz30EN/73veo+nGmpqZ45plneOMb38j8+fN5xSteQdXz9d3vfpcdO3Ywd+5cTj31VJ7tgx/8INO2bdtG1XN59NFHefTRR5k3bx7vete7eLbf+73fY9rDDz9M1fOxd+9ezj//fA499FDOO+886uVvQNWLsGfPHubPn8/xxx/P0NAQz7Zr1y6mHXbYYVT9JCeddBKbN29m8+bNbN68mfe85z1UPZd/+7d/4+mnn+a1r30tc+fO5dkOOeQQ3vKWtzBt+/btVP04J510Eps3b2bz5s1s3ryZ97znPVQ9X3v27GH+/Pkcf/zxDA0N8Wy7du1i2mGHHUbVc5k1axYXXnghy5cv50fdd999THvHO95B1fPx+c9/nm3btnHhhRdyxBFHUC9/A6pehAULFrB582YuvvhiftQNN9zAtOOOO46qqpfCjh07mPb617+e5/K6172OaY899hhVVTNhwYIFbN68mYsvvpgfdcMNNzDtuOOOo+q5HHHEEXz4wx9m8eLFTNu6dSs333wzH/vYx/jyl7/MW9/6Vk477TSqfpr77ruPL37xi/z+7/8+S5YsoX4+DKh6ie3fv5/Pfe5zbNy4kYMOOohPfOITVFW9FPbv38+0gw46iOdy8MEHM+3pp5+mquq/yv79+/nc5z7Hxo0bOeigg/jEJz5B1fOxevVqRkdH+cd//EemnX322bz61a+m6id5/PHHWb58Oa997Wv57Gc/S/38GFD1Uzz++OOMjY0xNjbG2NgYY2NjjI2NsXr1an7UQw89xOmnn87111/PnDlzWLt2LW9605uoA9vjjz/O2NgYY2NjjI2NMTY2xtjYGKtXr6bqhdi/fz8/yb59+5g2NDREVdV/hYceeojTTz+d66+/njlz5rB27Vre9KY3UfV8nHfeeVx11VWcddZZvPKVr+TjH/84l156KVU/yYUXXsj3vvc9Vq1axeGHH079/BhQ9VM88cQTTExMMDExwcTEBBMTE0xMTHDrrbfyQ/v27ePaa6/lAx/4AFu3bmXhwoVs3LiRE088kaonnniCiYkJJiYmmJiYYGJigomJCW699VaqXojZs2czbc+ePTyXp556immzZ8+mqmom7du3j2uvvZYPfOADbN26lYULF7Jx40ZOPPFEqp6vhQsXcsopp/DJT36S66+/nsFgwIYNG9i7dy9Vz2XLli38/d//PaeeeiqLFi1i9+7d7N69m//8z/9k2t69e9m9ezfPPPMM9fIzoOqnOPLIIxkfH2d8fJzx8XHGx8cZHx/nuuuuY9revXs555xzuOKKKzj44IO56KKL2LBhA0cffTRV04488kjGx8cZHx9nfHyc8fFxxsfHue6666h6IV73utcx7eGHH2ZqaooftX37dqa9/vWvp6pqpuzdu5dzzjmHK664goMPPpiLLrqIDRs2cPTRR1P1k9x5552Mjo5yxx138KMWLlzIMcccw5NPPsnWrVupei4PPvgg02677TYWLVrEokWLWLRoEcuXL2faNddcw6JFi7jpppuol58BVT/F7NmzGR4eZnh4mOHhYYaHhxkeHmbBggVMu/LKK9myZQvHHnssmzZtYunSpQwNDVH1Q7Nnz2Z4eJjh4WGGh4cZHh5meHiYBQsWUPVCzJ07l0MPPZQ9e/bwjW98g2fbsWMH//qv/8rQ0BDz58+nqmqmXHnllWzZsoVjjz2WTZs2sXTpUoaGhqj6aX7wgx9w8803c/XVV/Ncdu/ezbRXvvKVVD2Xt73tbSxZsoQlS5awZMkSlixZwpIlS3jLW97CtGOOOYYlS5bwK7/yK9TLz4CqF+GRRx5h/fr1zJkzh3Xr1nHUUUdRVTVTZs2axYknnsi0yy67jP379/NDl156Kfv27ePXf/3X+eVf/mWqqmbCI488wvr165kzZw7r1q3jqKOOour5+rVf+zWmbdu2ja997Ws827p16/je977HL/3SL/HmN7+Zqudy6qmnsmbNGtasWcOaNWtYs2YNa9as4cwzz2Ta+9//ftasWcOJJ55IvfwMqHoR7r33Xvbu3cvU1BTnn38+IyMjjIyMMDIywsjICCMjI6xYsYKqqpfKJz/5SQ4++GDuu+8+3vOe9/Dnf/7n/PZv/zabNm1iaGiI8847j6qqmXLvvfeyd+9epqamOP/88xkZGWFkZISRkRFGRkYYGRlhxYoVVD2XN7/5zSxdupRpH/3oRznnnHO4+OKL+chHPsIll1zCtJUrV/KKV7yCqvrFM6DqRfjmN7/JtCeffJLJyUkmJyeZnJxkcnKSyclJJicneeCBB6h6IWbNmkXVjzNv3jzWrVvHsccey6OPPso//MM/8PDDDzN37lyuvvpq3vGOd1D1QsyaNYuq5+ub3/wm05588kkmJyeZnJxkcnKSyclJJicnmZyc5IEHHqDqx/nsZz/LOeecw8EHH8ztt9/ODTfcwNatWznmmGO46qqr+IM/+AOqXqhZs2YxbdasWdTL14CqF2HFihWoqKioqKioqNxxxx1UvRBr1qxB5e1vfztVz2XRokXcdttt3H///WzcuJF77rmHu+66i5NPPpmqF2rNmjWovP3tb6fqp1mxYgUqKioqKioqKnfccQdVP87s2bM588wzeeCBB/jqV7/Kxo0buf/++7n99ts55ZRTqPpZ/M7v/A4qZ511FvXyNaCqqurn1OGHH85b3/pWjjjiCKqqqn6eDA0N8YY3vIG3vvWtHH744VTVL74BVVVVVVVVVVU1owZUVVVVVVVVVdWMGlBVVVVVVVVVVTNqQFVVVVVVVVVVzagBVVVVVVVVVVU1owZUVVVVVVVVVdWMGlBVVVVVVVVVVTNqQFVVVVVVVVVVzagBVVVVVVVVVVU1owZUVVVVVVVVVdWMGlBVVVVVVVVVVTNqQFVVVVVVVVVVzagBVVVVVVVVVVU1owZUVVVVVVVVVdWMGlBVVVV1gLjzzjtZvnw5y5cvZ/v27Tzb/v37ueyyy1i+fDnXXHMNVVVVVS+lAVVVVVUHiIULFzI5Ocmtt97K+eefz759+/ihL37xi3zxi1/ktttu44QTTqCqqqrqpTSgqqqq6gBxxBFHcPnllzMYDPj617/Otddey7RvfOMbXHnllUz71Kc+xdve9jaqqqqqXkoDqqqqqg4g73znOznzzDOZ9oUvfIGvfe1rnHvuuTzzzDP81m/9Fh/96EepqqqqeqkNqKqqqjrAfPzjH+ftb387zzzzDKeffjrbt29n7ty5XHrppVRVVVXNhAFVVVVVB5hZs2axevVqDj30UH7osssu4/DDD6eqqqpqJgyoqqqqOgDt2LGDp556ih/68pe/TFVVVdVMGVBVVVV1gNmzZw/nnnsu+/btY/78+Uxbv349d999N1VVVVUzYUBVVVXVAeYv/uIv+M53vsMb3vAGbrrpJpYsWcK0T3/60zz22GNUVVVVvdQGVFVVVR1AtmzZwi233MK0VatWcdhhh3HBBRfwmte8hscee4xPf/rTTE1NUVVVVfVSGlBVVVV1gPj3f/93PvOZzzDtwx/+ML/5m7/JtCOPPJKVK1cy7e677+bGG2+kqqqq6qU0oKqqquoA8ZnPfIZdu3Yxd+5cli9fzrP97u/+Lu973/uY9pd/+Zd85zvfoaqqquqlMqCqqqrqAPG3f/u3qNx1110ceuih/Ki/+qu/QuXrX/86v/qrv0pVVVXVS2VAVVVVVVVVVVXNqAFVVVVVVVVVVTWjBlRVVVVVVVVV1YwaUFVVVVVVVVVVM2pAVVVVVVVVVVXNqAFVVVVVVVVVVTWjBlRVVVVVVVVV1YwaUFVVVVVVVVVVM2pAVVVVVVVVVVXNqAFVVVVVVVVVVTWjBlRVVVVVVVVV1YwaUFVVVVVVVVVVM2pAVVVVVVVVVVXNqAFVVVVVVVVVVTWjBlRVVVVVVVVV1YwaUFVVVVVVVVVVM2pAVVVVVVVVVVXNqAFVVVVVVVVVVTWjBlRVVVVVVVVV1YwaUFVVVVVVVVVVM2pAVVVVVVVVVVXNqAFVVVVVVVVVVTWjBlRVVVVVVVVV1YwaUFVVVVVVVVVVM2pAVVVVVVVVVVXNqAFVVVVVVVVVVTWjBlRVVVVVVVVV1YwaUFVVVVVVVVVVM2pAVVVVVVVVVVXNqAFVVVVVVVVVVTWjBlRVVVVVVVVV1YwaUFVVVVVVVVVVM2pAVVVVVVVVVVXNqAFVVVVVVVVVVTWjBlRVVVVVVVVV1Yz6/471pf1LeBEAAAAAAElFTkSuQmCC 560 420 2 3 4 6 2 3 4 5 9 matrix ans 2×1 2 1 double -0.4142
2.4142
double double [[{“value”:”{\”value\”:\”-0.4142\”}”},{“value”:”{\”value\”:\”2.4142\”}”}]] 10 variable ans -0.4142 1 1 12 variable ans 2.4142 1 1 13 variable ans 2.4142 1 1 14 true false x=linspace(-2,4,100); 0 13 13 false false fx=x.*x-2*x-1; 1 14 14 false false plot(x,fx); 2 15 15 0 false false xlabel(‘x’); 3 16 16 0 false false ylabel(‘f(x)’); 4 17 17 0 false false y=0; 5 20 20 false true line([-2,4],[y,y]) 6 21 21 0 true true roots([1 -2 -1]) 7 37 37 1 true false f=@(x) x.^2-2*x-1; 8 40 40 false true fzero(f,[-1 0]) 9 41 41 2 true true fzero(f,[2 3]) 10 44 44 3 true true fzero(f,[2]) 11 47 47 4
2020-03-08T04:48:58Z 2020-07-27T04:10:40Z
application/vnd.mathworks.matlab.code MATLAB Code R2020a
9.8.0.1298242 74448ee4-6d66-4d0b-aeff-11dcad718b4c
9.8.0.1417392
R2020a
Update 4
Jun 24 2020
1882048