Maths-
General
Easy
Question
What are the vertical and horizontal asymptotes of the graph of each function?
![G left parenthesis x right parenthesis equals fraction numerator 2 x squared plus x minus 9 over denominator x squared minus 2 x minus 8 end fraction](data:image/png;base64,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)
Hint:
A rational function is a function that is the ratio of polynomials. Any function of one variable, x, is called a rational function if, it can be represented as f(x) =
, where p(x) and q(x) are polynomials such that q(x) ≠ 0.
Rational functions are of the form y = f(x)y = fx , where f(x)fx is a rational expression .
- If both the polynomials have the same degree, divide the coefficients of the leading terms. This is your asymptote.
- If the degree of the numerator is less than the denominator, then the asymptote is located at y = 0 (which is the x-axis).
- If the degree of the numerator is greater than the denominator, then there is no horizontal asymptote.
The correct answer is: From the graph we can analyze that the vertical asymptote of the rational function is x= -3 and x = -4. and horizontal asymptote is y = (leading coefficient of numerator) / (leading coefficient of denominator) = 2/1 =2
- Find the asymptotes of the rational function, if any.
- Draw the asymptotes as dotted lines.
- Find the x -intercept (s) and y -intercept of the rational function, if any.
- Find the values of y for several different values of x .
- Plot the points and draw a smooth curve to connect the points. Make sure that the graph does not cross the vertical asymptotes.
The vertical asymptote of a rational function is x -value where the denominator of the function is zero. Equate the denominator to zero and find the value of x .
x2 - 2x - 8 = 0
x2 + 2x - 4x - 8 = 0
x(x + 2)- 4(x + 2) = 0
(x + 2)(x - 4 )= 0
x = -2 or x = 4
The vertical asymptote of the rational function is x =−2 and x = 4
This function has x -intercept at (-2.386,0) and y -intercept at (0,1.125) . We will find more points on the function and graph the function.
![](data:image/png;base64,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)
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IfR3RkKIyaJu4XFTZNfqPV7mNF2XknYz5F655cR2uUe3p6sH79etx8881405vehD179uCss87C6aef3vwbWaOzrfuFiXYUsuZ3yNYkS5cfS/QxWdg0tdY7mZqmyztd19HX14d8Pn/U0+uPRzqFpTyFLY7MWJ2madYTqCe+13rG2PEyQ2F5VEfIx58g3I3LyRljeP/734/TTjsNTzzxBK699lqsW7eOVpIRHQFjDNlsFq4r57EcQRxPJpih8SfJ+9+U/W/drb9PHLVpfc9fKn2sv5vpe2SGOhf/G1w3miGf1atXY/Xq1UHLIAjp9PX1wTAMHD58OGgpBHFUplxNNvGIjPGfTzYoM31v4mczfY/MUOfim6Fu3WeIIDqZOXPmwDRNvPbaa0FLIYijctSl9WP/Dt4MAZAyl4MIH938mIwgOp3+/n4YhkEbLxKhZ4pZZlObn9bfT/SokKyJrUT48OfH0MgQQXQe/f39iEQiGBoaap5CQBBhZMpT68OE4zhwHIcOr+xAPM9r7oobtnJHEIQ4sVgMmUwGjUaDTq8nQs2kx2SW1Wjue9J6zIGiKGPHOpzAb/D+0uve3l4yQx2KjKMYCIIIJ4wxzJ07F4ODgxgaGsIpp5wStCSCmJJxZsjzPMyZMwfZLIdpmtB1vWmCXNfFtm3bcPbZZwtttubvOpzJZGb097quwzCMtv8/Itz4c4b8x6Fkjgiis5g3bx4ajQaGhoaClkIQ0zJpZCgajb3+M9o8RNGf4Mo5RywWEzZDtm1L2b2WOPlpnTNEZoggOo+BgQHU63UyQ0SomdDzvDFpeeLSelnL3GXugEqc/LSeyk6TqAmi8xgYGAAAmjNEhJpJX8P9zRUJ4kTQupknmSGC6DzS6TSSySSGhoakHMZKEMcDeiZBBI6qqmSGCKJDSSaTyGQyqFQqtLyeCC1khojAURSFzBBBdCipVArpdBoHDhxApVIJWg5BTAmZISJQGGNQVVXqCcgEQYSHRCKBbDaL4eFhjI6OBi2HIKZkSjPkz+NonT808We7yJyTJCuWrHuTicz0lsXx0iSyC/XEchoWwqZJZjrJjhOmdPKR2a7I4mRNJ8YYBgYGwBjD4OBg23FmqidseRdGPWHUFHSccUvrGWMoFAqwLAumaUJV1eY+Q47joFAoYHh4GI1Go+1v8Y7joFgsCo8CMMaQz+cRiUQQjUaFVqi5rotCoQDP88QSU9OQy+Wg6zqSyaTQPUrRpCjwqlXUajUwq4HR0VFojMFrUxfnHPl8XkiToigol8toNBpQVRWjo6OwLAuu62JoaKi5hcNsNOVyOeEjWxhjKBaLUFUV9XpdqDx5nofR0VG4riu0VYBpmqhUKrBtu1kvg9bEGEO5XAaA0KSTpmkYHR2FbdvNeCL4MXyT3g6MMVQqleZWIqIraEU1KQrDaL4By7JQV4GhoWFMPHrpeGnSdR2JRAKu6+KFF17AypUrmxOpGWOoVquwbVs4nRhjGBkZgWVZ0LRJu8bMGFVVMTw8jHw+j5GRkbbbcZl9lN9viu7W7/fxuq4jFou1HctvB3xPIKqpWCxC0zTUajUpffl09Pf3T/vZpE0XE4kEOOeIRCLjNl30j8RIp9NIpVJtC3YcB4wx9PT0tHX9RL2maSIajQrFcRwHnuehp6dHqENVFAXJZBKpVAqZTEY4U4U1MQZuGMhFIvA8jlQqBSOTGTuNt01NnHMhTf5jMV3Xoaoq0uk0otEoGo1GW+nmP14TzbtWbaK7nXPO4bouenp6hDt50zShaRpSqZRQJ+95nhRNwBsjeclkUiiOLE2KoiCVSsGyLKTTaWHj4TgOenp6hMwQMGYCHMdBOp0WiiNDE2NAmdeg6RoMQ0FPz8w2vT2Wpkwmc0zjoSgKzjrrLBiGgaGhIaTT6XFl2TAMWJY14414ZWg6GowxpNNpVCoV4XZcZh8FQEoaAWNpHovFhGKoqop4PC5FE2MMmqYJ7z/Y2m/Olkklxh8N0nW9uemi31CpqgpN04QbCU3ThArrxDgyY4l2qH4c0TTyC4eoJv56HnqKMhZP8NuuDE2tm3n65azRaEBRlFmnG+dcat75ZVyEVk0yjIc/rC2iy/M8aZp8HaLpJFsT51y43vmxZLVzrT+D1qRpGhQ21p6f6PZ38eLFMAwDuVwOruuOu8bPuzD1CX5ay+rrZN6brDgy0ihsmlr7qNlCE6iJwPFXk4k+3iAIIpzEYjH09fWhWCzSJGoilJAZIgKHltYTRGdjGAbmz5/fnGNCEGGDzBARKP48HTJDBNG5+GaoWCySGSJCCZkhInBoZIggOp+5c+fCtm0cOXIkaCkEMQkyQ0Sg0MgQQXQHAwMDiMfjOHDgAB3WTYQOMkNE4JAZIojOZ86cOUgkEhgcHKQDW4nQQWaICBTGGD0mI4guYGBggMwQEVrIDBGB45shGjoniM7FP7C1UqlgaGgoaDkEMQ4yQ0Sg+CNDdFArQXQ+8+fPh+u6OHToUNBSCGIcZIaIwBE5qJUgiJOHhQsXgnNOy+uJ0EFmiAgcVVWb53kRBNG5LFy4EPV6HX/605+ClkIQ4yAzRARK6wRqmjNEEJ3NKaecgng8jiNHjqBWqwUthyCakBkiAodWkxFEd5BKpTBv3jwcPnwYhUIhaDkE0YTMEBEotOkiQXQPqVQKp5xyCo4cOYJcLhe0HIJoMuGcewbXdeG6brODUhQFiqLAcRy4rgvHceA4TtuPNPzrRfeZYIw14+i6LvSIpVUTY6ztOKqqNmOJpBGAZloLaWIM3LbBOYfHORzHgeK68No0HTI0+fnmGx/HcQCMTZ62LGvWc4f46/clmne+Ls/zhPPOj2HbNhSl/e8buq7Ddd3mI0Q/rYLU5KcTgNCkU2u9c11X2FT7mkTiMMZg23azzog+AhbVpPj1zuPgHLBtB4AcTbO5N03TMDAwgEajgVdffRVnnnmmtDaztU8QiTOxv2s31vHoo2SlUWt7JxJHpiZAvE1p7aOmQtf1aa8dZ4YYA8rlMizLQqPRgKZp48xQuVxGoVAY61wFzFChUICmacf+42NQKBQQiURgWZZQHMdxUCwWoWmasBkqlUqIRqMoFArCmSqsiTHwahWNRgPMtsfi6TrQpi4ZmhhjKJfLzQ6wWCyi0WjAsiwUi0UUi8VZdfqc82Z5Esk7ACgWi82OVQRfk6qqQp18JBJBvV5vlk+RLxCe50nRBIy1EQCEJ7zL0qSqajN9/PZJhGKxCEVRmqsc26VSqTTNrCiimhgDisUGHNuBZQGFQl6KJsbYrNpyTdPQ29sLRVGwa9cuXHTRRSiVSsJtuI//6E2kf1EUBYVCAaVSSbgdl91HHa0zn40mXdeFByTK5TIqlQryeTllSdM0YU1+HzVdOvX19U177bgS43ke0uk0AMA0zaYZYmxsxCidTqOvrw+JREJIrK7ryGazbcfw0TQNpmnCNE2hOK7rQtO0oybUTOnt7UU2mxW+P845VFUV1uTF4yhEo/AYkM1moQvokqXJNE1EIhEoioK+vj6kUinouo50Oo1MJjOrWP7opYy8MwwDqqoiHo8LxfE1ZbNZYYMWj8ebaSMKY0yKJr++ibQDsjVls1lYloXe3l5hTQCaHbYIsVgMjuMglUqFQlNDrcMwDJimnPoCAD09PbM2aOeffz4SiQSGhoaQyWSaZkFWGc9kMsJGtlqtol6vC7fjYeyjdF2HYRiIRqNCcUzTbHoCUQzDgKZpiMViQnFE+qgpa5Y/LN+6wmfiz3aRuWpIVqyJ99pJmlqvl5V3sjX5E6jbGWno5LyTSaenU5jbFRnIrncyaFfTggULYJomjhw5gnq9DsZYqNLJjyODTi1LfhxZhCGdaAI1ESg0gZoguot4PI758+ejXC5jcHBQeASOIGRApZAIFDJDBNFdaJqGU089FaVSCYODg8KPtAhCBmSGiMChTRcJortYsmQJqtUqBgcHg5ZCEADIDBEhQGTOEEEQJx/z589HNBrFgQMHUKvVhCfQE4QoZIaIQGl9TEYjQwTRHcyZMwfZbBb79+8nM0SEAjJDRGD45odGhgiiu+jv70dPTw8OHTpEZogIBWSGiEDxR4Y45zSBmiC6hGg0innz5sG2bRw4cIDMEBE4ZIaIwPGX1pIZIoju4YwzzkC9XscLL7xAK8qIwCEzRASOoig0MkQQXcYZZ5wBAHjp5Zep7hOBQ2aICBTaZ4ggupNTFixCpjeLI4ePIJcTP9+KIEQQPy2VIAShfYYIovtIlvfi/z79ECLVw0j95lPg52yAsvojQCQZtDSiCyEzRAQKY6xphmhkiCC6A2/oRWj3fBZnqwdQNWyoQ3vgPrwbXnkY6tv+H4DRQwvixEIljggcf/IkmSGC6A7487+Fl9sP6FFwKHA8BhhReH/6A7zXngtaHtGFkBkiAsUfGQLIDBFE11AdgacoUFUViqLAcRyAqfDqBXgje4NWR3QhU5ohxti418T3RJARQ3YsWfcWRk2t18vKO9maREaGOjnvZNLp6RTmdkUGsuudDEQ0KZEUwDlUVQVjDK7rwuMumB4DS84JRFM3xJEZS2Z5CkM6TZgzxFAul2HbNkzThKZpUBSl6dxLpRLy+bzQMmjHcVAoFIT3lWCMIZ/PIxKJIBaLCU2+bdUkkiGapqFYLMI0TRSLRaGRDtd1xTUxBl6totFoAJaFQqEATdeBNnXJ0KQoCkqlEmzbBmMMhUIB1WoVruuiVCqhUqnAtu0Zx+OcI5/PC+edr0VVVTiOI1SePM9DPp9v1p12MU0TtVoNjuOgWq3CsqzANTHGUCqVAIyVhzCkk6ZpKBQKsCwLpVJJeCfzQqEwzqS3A2NjbamfRqKLA0Q1KYyhUKjDdmxY1ljbKUqhUAAwlv6zQtXA5rwJEe0OKE4VqsLguhxuvQJ70XmwowuAfBHA7NupfD4Pz/Nmr6lVnqoin8+jVCoJtePHo48Sua9WTbquw7KstjX57UCpVEKhUBC6N7/t1TQNtm0LxfL7qOnSKZPJTHvthCs86LoORVEQiUSaQ5j+S9d1GIYBXdfbFqwoCgzDgGEYbV3vwxiDYRiIRCIwDEMoAVVVbd6baIeq63rzJZqpMjR5r+cjXr9HXdeBNnVxzoU1+fmmKMq4PPQfl83W1HDOm+VJNO8Mw4CqqsLlyfO8piZR49H6hUSkzsjU5OsIUzrpug5grGMW/aLll3FRMxSJROA4jnA6ydDEwKDrLhSmQFGYcPvra/L7iVnrWXYJtKv/X+Cx/wI7uBujw6OoL7kCA+/6Mlh8DsDbM7R+eRIxDX4Z1zRNqB2X2Ue19r8i+Jr8l+i9icZpjaVpmnCs1n5ztkwqMaZpwvO8cSND/jCmaZqIxWKIRqNCYm3bRiwWazuGT6PRgGmaME1TKI7rumg0GojH48KaotGocBoBY528DE2eokDTNHiOilgsBl1AF+cc9XpdWBNvGR6PxWKIx+NQVRWaps06Lz3Pk6IJAGzbhqqqwnnneR5qtRri8bjw0K9vFETLOABpmvyRF9F0kqkpFovBsiwpmvwyKWLQgLFy4DhOaDTFLPZ6PVOktL+xWAyxWKx903j6W4Cll+C1h3+Nf73561izaAX+r+wiiHT3fnkSNcR+Gy6adzL7KMuypOSbZVkwDEP43nxPIKN827YNTdOk9ZvtpNOkmuUP6ba+Jr4vgsz9ZGTFknVvYdTUer2svJOtyR8Vms3jMdmaWmPJiiMrlgy6IZ3C2q7IQHa9k4GU+9NMGEvejHp8AV577TAq5XLwmjo4jsxYnaaJVpMRgeJ53vgVJQRBdBX92R6cMm8Azz23E0NDQ0HLIboUMkNE4JAZIojuJZFIYOHChajX69izZ0/QcoguhcwQETi+GRJdBUQQxMkH5xznnnsudF3Hjh07gpZDdClkhojAUVVVypJ2giBOPjjnOOOMMxCNRvHKK6+gVqsFLYnoQsgMEYHieV5zxSI9JiOI7sPzPGQyGZx22mkYHh7Gvn37gpZEdCFkhojA8feGcRyHjuQgiC7D8zxEoylx+pUAACAASURBVFGcc845GBkZwd69dBwHceIhM0QEDo0MEUT34q8oPe2002AYBl544QV6XE6ccMgMEYHiN4SqqsJ1XRoZIoguxHVdLFu2DP39/di1axfNGyJOOGSGiMBpXVpP3wgJovtwXRdz587F3LlzceTIERw6dChoSUSXQWaICBzfDIke0kcQxMmLoig466yzYFkWdu7cGbQcossgM0QETus+Q91ohur1Op5//nns378/aCkEESjnn38+OOc4cOBAV7YFRHC0f7QvQUhg4nEc3dYAHjx4EF/72tdQLBZRqVTw7ne/Gx/+8IeFDy4liJORJUuWYGBgADt37sTo6Ciy2WzQkogugUaGiMBRFKUrR4Y45/jRj36ElStX4oc//CFuueUWHDlyBKVSKWhpBBEIvb29OOuss7B3714aKSVOKJPMEGNs0mvi+yLIiCE7lqx7C6Om1utl5Z1sTbquN1eTzTb2yZx3+Xwef/7znzEwMIDPfe5z+MlPfoJPfvKTSKVS42LJ4GROpxOpSWassGmSPdp4PNJJ0zScc845AIBnnnkmFJo6KY7MWJ2madJjslqtCtt2YNs2NE1rfmt3HAfVahWlUgmMsba/wTuOg1KphEgk0tb1rZRKJdi2Lbw/jeM4KJfLiEQiQhmiKAoqlQrK5TIqlYrQKIfrulI08VoNtm0Dr9+jbppAm7pkaGKMoVQqwXGc5u+e58F1XVSrVRSLRXDOZ5x2nHMp6QQA5XIZiqIIj075mgzDgKJMPfhqmiZqtRoef/xxcM7x3ve+F/fffz8+97nP4etf/3rzunq9Dtd1UavVhM5u8zzvmJpmiqyRK1ma/HpnWZZwvQPGyoFv0EWoVCpwHEc4vWVoYgAq5QYc14HtKCiXy1I0aZoGTRObbVGtVmFZFlRVBWMMp512GkzTxBNPPIH3vOc9s0q/UqkEVVWFNDHGmm24aHmS3UeZpikUx9dkGIbwWZClUgnValVKWSqVStA0TXhrFb+Pmi6dEonEtNeOKzGKouKF53dheHgEpmlC07Sm03JdF88//zxc10UsFmu7gPhi0+l0W9f7MMZQLBYRiUQQiUSECiznHKVSSViTqqp47rnn0NPTg9dee02KplQq1X4nzxgUy4Jy5AhUx8Zr27aBJ5NtmyEZmhhjqNVqGBkZAWMMTz31FBhjGBkZged52Lp166zKl+d5KBaLYumENxpAVVURjUaF8u5YmjzPw5lnnglFUZBOp/E3f/M3OPvss7Fy5Ur87d/+LV588UVomoahoSG8+uqrKJfLePzxx4UaVJnpVK1WAUCoHfApFApIJpNChkFVVezbtw+2baNSqQg3qDI0+eXcdV0kEonA04kxhpGah3y+DF528NhjjwnpkaHJ11Wv12HbNpLJJICxPsJvS++66y4sWLBgRnnKGEM+n0cikRAysoqi4MiRIxgeHp7VF7Op9JRKJei6DtM0pXw5ltFvytDktwMvvPCCcHsps+09Vl++fv36aa8dZ4Y4d7FixZsAeE0z5O8O7LouIpEI3vzmNx/VXR0L13WRz+elTIzL5/MwTVPYLbuui1wuh76+PmFNiUQCAwMDWLx4sVAczjlGR0eFNXn1Ol7a/Ty8eg2nrl0LXSDdZWmqVCq47bbbwBjDFVdcAU3T8Nvf/haWZWHdunXNRnEmeJ6HkZERKXlXLBahqiri8bhQHF9TNps9qvHI5XIYGBhofov161rro4Jt27bh2Wefxbp164Q0AcDw8PAxNc0E/5ugSDsgW9OePXtgWRbOO+88KZp6e3uFR3Sq1Socxxn32DNITYfydTyw/0n0xRWsX3+JFE09PT3CI2i1Wg2WZY3rwA4ePIjbb78dmUwGb3nLW2Yca2RkBJlMRljTwYMHMTg4iDVr1gjFCWMfVSgUYBgGotGoUJxyuYx4PD6r/JmOYrEITdMQi8WE4oj0UVPULA+eN/4FYNK/20VGDNmxZN1bGDW1Xi8r72Rran0UO9tv9Sdz3mUyGSxbtgzf+973MDg4iF/84hcwDAOLFi0S1tCuptnE6kRNMmOFTZPsxQnHM53OPfdcqKqKnTt3zmpENGx5F7Y4MmN1miZaTUYEiud5zRHIbltazxjDTTfdhFQqhU9/+tPYsmUL/vEf/3FWI2ME0YksXboUixYtwrPPPotcLhe0HKILoH2GiMBpHRnqJjMEAD09PfjiF78Iy7JgGEbQcggiFPT392PJkiV48MEH8ac//Qn9/f1BSyI6HBoZIgKn23egBkBGiCAmsGLFCgDA9u3bA1ZCdANkhohA6fYdqAmCmJoVK1YgGo1iz549tBEpcdwhM0SEAn/vKtH9OAiC6AwGBgZw/vnn46WXXsKLL74YtByiwyEzRIQCVVWbmy8SBEEYhoFVq1ah0WjgqaeeCloO0eGQGSICxX8s5u+fYtt2kHIIgggRK1euRF9fHx5//HHU6/Wg5RAdDJkhIhT4m6TRyBBBED6LFi3C0qVLcfjwYezcuTNoOUQHQ2aICAWaptGcIYIgxsEYw6WXXopqtYonnngiaDlEB0NmiAgF/sgQmSGCIFo577zz0NfXhx07diCfzwcth+hQyAwRoUDXdQBkhgiCGM/8+fNxzjnn4OWXX8bLL78ctByiQyEzRIQCekxGEMRUaJqGlStXQlEUbNmyJWg5RIdCZogIBf7J7bSajCCIiaxevRqJRAIvvPACisVi0HKIDoTMEBEK/MdktJqMIIiJ9Pf344ILLsArr7yCJ598Mmg5RAcyyQwxxia9Jr4vgowYsmPJurcwamq9XlbeHQ9N/sjQbB+TdXLeyaTT0ynM7YoMZNc7GZzIdFJVFWvXroXneXj00UfBOQ9c08kYR2asTtM04dR6hnK5DMdxUK/XoWnauBPFy+UyCoUCPM+btjAeC8dxUCgUmp1fuzDGUCgU0Gg0YFmW0JlWruuiWCxC0zShDNE0DaVSCdFoFKVSqe00kqZJUeBVq2g0GmC2jWKxCD0Sgdfm6AvnXFiToigolUqwbRuMMRSLRaRSKViWBdu2USgUUK1WZ/y4jHPeLE8ieedrUVVV+MBYz/NQKBSaZ661i2maqNfrcF0XtVoNlmUFrokx1jwninMeinTSNA3FYhGWZaFcLguPLhaLRSiK0lzh2A6MMVQqlaYW0TP3RDWpCkOxWIft2LAshkKhCCBYTcBYOlWrVViW1TySZyoURcGyZcswd+5cbN26Fbt378aiRYvG5bXfJwAQ6l9UVUWhUEC5XBZqx/02RUYf5TgOisUiDMMQiuOnkWEYsG277Vh+O1AqlVAsFqVo0nVd+HxKv9/0nzRMJJ1OT3vthBLjNY9F0DRtnBkCxgqJ33CJNF6qqgqboVY9IpVxoibRDlVWGvmxRDVxv6PxtTEGtJn2rutK0aSqatPBq6oKzjkikQgYY82GZ6blg3PeLKui3yz8PBMtT62aRMqA53njrhepMxPrtAh++oimkyxNE+udaDnwy7jo/fltqcz2SSSWqqpQmAJFYdA0OZpktOUzbcfnzJmDVatW4Re/+AUeeeQR3HjjjZPy2tcjookxNq7vEymbfnsiqwzIjCOjfMuoJ34sGW1va785WyZdEY1G4XkeTNNsFgjGGFzXRTQaRSKRQDweb1us67pwHEcoho9t2zBNE6ZpCsVxXRe2bSORSAhrisViiMfjwvfHOYdlWcKaPFWFYRjg7lia6wK6ZGkC0DQv8Xgc0WgU8XgcqqpC13XEYrEZx/E8D41GQ4om3+yJ5l2rJtGOORKJQFVVRKNRoTgAUK/XpWjyv7nJqMOyNMXj8VmXnemo1WpIJBLCppExJq2tk6EpbvvmRZGqSbQDUxQFlmXNSNOGDRtw7733YteuXeCcT7rGL0+imuLxeLMtF0F2HyUj3xzHgWEYwm2K53nNtlsU13WhaZpw/fX7qHY0TapZnudNek18XwQZMWTHknVvYdQ0MQ/Domni7+0ure/kvPNjyaAb0ims7YoMZNc7GQSRTkuWLMH555+P3bt34/nnnw+FppMpjsxYnaaJVpMRoaDdCdQEQXQP0WgUF198MTjnePDBB4OWQ3QQZIaIUEBmiCCImXDxxRejv78f27dvx/DwcNByiA6BzBARCmgHaoIgZsKcOXOwZs0aHDlyBI888kjQcogOgcwQEQr8pZAiy8cJgugO1q9fj3g8jt/97nfNrR4IQgQyQ0QoMAwDAJkhgiCOzZlnnokVK1bgpZdewlNPPRW0HKIDIDNEhIJIJALP88gMEQRxTFRVxYYNG6AoCn7/+9/T43VCGDJDRCigkSGCIGbDm970Jpx++ul47rnnsGvXrqDlECc5ZIaIUOCPDDUajaClEARxEhCLxbBhwwZUq1X84Q9/CFoOcZJDZogIBf7I0EzPJCMIgli7di0WLFiAP/7xjzhw4ICUoyGI7oTMEBEK/LPJRA/ZJAiie+jp6cEVV1yBfD6PBx54QNop6kT3QWaICAX+0nrRU4sJgugurrjiCmQyGfzhD3+g0SGibcgMEaFAURToug7HcWh0iCCIGbN48WJccsklOHjwII0OEW1DZogIBf6J9WSGCIKYDYqi4N3vfjd6enrwyCOP4ODBg0FLIk5CyAwRoUBVVRiGAcdxaM8QgiBmxfLly7Fu3TocOnQImzZtCloOcRKiTXyDcw7OOVzXBWMMnufB8zy4rtt8n3Pe9rwO13WbLxH8ybaienxNrffcLoqiNNMvFJoYA3fdZh6K6pKhyc83XwPnHADgeR50XYdlWbAsC9FodEY6fT2ieccYA+e8+VMk7/z60nqf7aCq6jgtInVGlqbWSe5hSSeZ9Q54o0yJ4KdTWDS1luuxdOcA5GiSUe9E23HGGN761rfiD3/4AzZt2oS3v/3tmDdvXrN9mW0sGXkn694ASCtLsvpNmeXbj+XXY1n95lQcbT7ZODPEGEOpVIJlWYhEItA0DYqiQFEUOI6DYrGIXC7X/A/bwXEcFAoFKIrYoBRjDLlcDqZpol6vCydgPp8HY0yoYquqikKhgEgkglwu13YaSdPEGLxaDfV6HWg0kM/nxgpDm7o458jlckKaFEVplrHWPCwUCuCco1KpYHh4uNlRzkRTPp+HoijCjXKhUICqqrAsS7iT9/NOpJybpolqtdqsMyIbUsrS5LcRgPhkd1maVFVFPp+HZVnI5/PCRiaXy8HzPKGJuIwxVCqV5mNfUTMkqklhDPl8A7Zto9EARkdHhPTI0ASMpVO1Wm3WOZF06uvrwwUXXIDNmzfjjjvuwEc/+tG2Rpn98uT3d+224zL7KJn9Zj6fh2EYaDQaQmaoVCqhWCxidHRU2AwVCgVomiakCXij35wunfr7+6e9dpwZ8jwP6XQanufBNM1JZiiTyaCvrw/JZLJtsY7jQNd19PX1tR3DR1VVmKaJaDQqFMdxHKiqir6+PuHJdz09Pejt7UU2mxWK47quFE28VkMhGoXHgN7eLAwBXb57F9UUiUSaS+mz2SwymQw8z0MikQBjDJlMBr29vTOKxTmXogkYW9GmqioSiYRQHH+EKZvNCjdeiUQCuq4jlUoJ3Z/nedI0RSIRABBqB2Rr6u3thWVZMy43M4knuiopGo3CcRyk0+lQaKqrNRiGAdNUjtopzIaenh5o2qQHDLPCN0OZTEZYz8aNG/Hss89i+/btuOGGGzBv3ry24lQqFdTrdeF2XGYfpWmalHzTNA2GYSAWiwnFiUQiTU8giq7r0DQN8XhcKI7fb7aTTjRniAgFiqLQnKGjQCtkCOLYLFmyBG95y1tw6NAh/OpXvwpaDnESQWaICAW+GbJtm8wQQRBtoSgKrr32WsybNw+bNm3Cnj17gpZEnCSQGSJCgb+0XsbkeoIguhPXdbFgwQJs3LgR+XweP/3pT+nLFTEjyAwRocDfdJFGhgiCEIFzjvXr1+Pss8/Gli1b8OSTTwYtiTgJIDNEhALagZogCBlwzpFOp/He974XnHPceeedqFQqQcsiQg6ZISIU0KaLBEHI5OKLL8ZFF12E5557Dps3bw5aDhFyyAwRoYBWkxEEIRPDMHD99dcjmUzijjvuoGM6iKNCZogIBYwxaJpGj8kIgpDGeeedh6uuugoHDx7E7bffDtu2g5ZEhBQyQ0RooJEhgiBkc/311+P000/H5s2bsWXLlqDlECGFzBARGnRdBwChYycIgiBa6e/vxwc+8AEoioLbb78dw8PDQUsiQgiZISI0+GaIhrIJgpDJ2rVrccUVV+Dll1/GnXfeKXxWHNF5kBkiQoOu62CModFoBC2FIIgOQlEUvP/978fChQtx7733Ytu2bUFLIkIGmSEiNOi6DkVR6DEZQRDSWbhwIa677jpUq1X84Ac/QC6XC1oSESLIDBGhwTRNKIqCWq0WtBSCIDqQ9evX45JLLsGuXbtw2223gXMetCQiJJAZIkKDaZpQVZXMEEEQxwXTNPGJT3wCCxYswD333IPf/e53QUsiQsIkM8QYm/Sa+L4IMmLIjiXr3sKoqfV6WXl3vDRFo9FZm6FOzjuZdHo6hbldkYHseieDkzWdFi1ahI997GPQNA3/8z//g5deeum4aQpbHJmxOk2TNiEUKpUKHMdBo9FozuFQFAWO46BSqaBYLAJA27PxHcdBsViEYRhtXd9UyhiKxSIsy4LjOEKrAxzHQalUgmEYQhmiqirK5TJisRjK5bKQJtd1xTUxBl6tjs3BsW2USiXopgm0OTQsQxNjDKVSCbZtN3+PxWJQFAWu68LzPORyuRmnH+dcSt75WlRVhed5Qnnned5YWr9ef9olEomgXq/DdV00Gg2huVSyNPn1rjVu0JpUVW2WqUqlIvzoo1QqQdM0qKradgzGGMrlMlzXhaIowquXRDUpjKFUqsFxHNj2WFkXxa8vmqYd+4+ngTGGarWKRqPRrHsiFItFKIpyTE2rVq3CW97yFtx111341re+hc9+9rNIJpPgnENRFJRKJVQqFaF23G9TZPZRkUik7Ri+Jr//9dtbkTjlclm4r/Nj6boOzrmUfnO6dEomk9NeO6EF8podynSNkyz3JornvaE1LMskfU2hGRF4PV3eGN17470gmTgi4HkeOOfjHpOd6Dxt/f9E/29Z2l3XbaZRWHblbi3jYat3/u9hQGZ5koHneWAISbvUgv/FQ1Z5mmnbyxjDBz/4QaxcuRLbt2/H7bff3vz/ZeVX2MoAIK+uyGwHwlJ/J9nnWCwGz/NgmiY0TYOiKGCMwXVdxONxJJNJJBKJtv9D13XBOT+qQ5tNLNM0YZqmcBzXdZFKpYQ1xeNxJBIJoTQCxkY8HMcR1uTpOoYMA9x1kEgkoQvokqXJP3qDMTauPPX19cEwDHieN+Py4XkebNuWknee50FVVcTjceE4viZRY+wbxFgsJhQHGNvMUoYm/3rRMi5TUyKRgGVZUjQ1Gg2kUimh0SpgbMTKcRwpbZ0MTQlXh6ZpMAxVqiaRETQA0DQNlmVJ0eSXp5loisfjuOmmm/DP//zPuP/++/HmN78Za9euBTA2glAsFoXLk+w+SkYacc5hGAai0ahQHMZY0xOI4nkeNE0Tbuf8PqodTZNqlu/UW18T3xdBRgzZsWTdWxg1TczDsGia6vdIJAJVVVGpVGb8f3Ry3vmxZNAN6RTWdkUGMutdmDTJjNNOrNNOOw0f+chH4Louvv/97zfnD4Xt3sJWlmTGkRlLJA6tJiNCAy2tJwjiRHPVVVfhPe95Dw4dOoRvfvObGBkZEZoHRZyckBkiQkPrnCHa/4MgiBOBqqr48Ic/jCuvvBIvvPACvvvd7zYnhxPdA9lfIjT4I0OO48CyLOFn2gRBEDMhEongpptuwujoKB544AFUq1Vce+21QcsiTiA0MkSEBl0fm+DJOUe9Xg9aDkEQXUQ6ncZnPvMZLFmyBA899BAefvjhoCURJxAyQ0RoUBQFsVgMruvSvCGCIE44CxYswKc//Wlks1ncdddduOeee4KWRJwgyAwRoYExhmg02txkkCAI4kRzwQUX4OMf/zgsy8J//ud/4t577w1aEnECIDNEhIpoNArOOY0MEQQRGGvWrMG73/1uAMB//dd/YdOmTQErIo43ZIaIUOE/JqM5QwRBBIVt29iwYQM+8YlPwHEcfPe738V9990XtCziOEJmiAgV9JiMIIgwwDnHu971LnzsYx9DrVbDt7/9bTz00ENByyKOE2SGiFBBE6gJgggD/k7G11xzDT7+8Y+jXq/jW9/6FrZu3RqwMuJ4QGaICBX+nKFufEzWaDRos0mCCBmMMVx//fW48cYbUSwW8Y1vfAN//OMfg5ZFSIbMEBEq/Mdk3TYytGvXLtx44404dOhQ0FIIgpiCG264AR/72MdQKBTw9a9/nSZVdxhkhohQ0Y0TqIvFIr7//e9jaGgoaCkEQRyF973vffiHf/gHeJ6HW265BT/72c9oNLdDmHQcB2Os+dN/TfXvdpERQ3YsWfcWRk2t18vKu+OpyX9MNtMJ1J2Qdz/+8Y+xYsUKxONxOI4zKZYMZKeTDMKYdzJjhU2TLC2t8ToxnY4V553vfCdSqRRuueUWfO9730O5XMaHP/zhKf++W9MoqFgicSaZIcuywDkHYwyO40BRlHHnRdXrdRiG0ZxcNlscx0G9XhdeLcQYa44eKIrSth4AzdVL9XpdKEMURUGj0UCj0YBlWcFrYgy8XofruvBeNxjcsoA2dfkmRUSTn29+GWtNK0VRoKoqOOeoVCqwLAsAjpqOMjT5uhqNBhRFga7rQnnneV5Tk6JMPfjKGINhGLj//vthWRY+9KEP4d/+7d+gqipc14XjONA0DbZtw/M82LYt9A10JppmQmu9E2kHZGry651lWcL1DkBTk8hBnX46OY4D0zQD1+SXb845XA4pqzV9TSInvPvp5J9FKJJOfiwZmo7Vjv/FX/wFdF3HLbfcgh/+8IcoFAq48cYbkUqlml9ofD2MMeE+ynGcpiYRWttfVVXb1tSab6J1zo+laRo0TZPSb06XTpFIZNprx5UYRVHx3HM7MDw80jxBXFEUMMbgui527tyJWq2GeDzetmDXdVEul5FOp9u63ocxhmKxiEgkAsMwhGJxzlEqlYQ1qaqK5557Dj09PXj11VeFMtXXlEqlhMwQazSgvfYaFMfG4OOPw00mwQTMkKgmxhiq1SqGhobAGMMf//hH9Pb2gnMOTdOwe/dulMtlPPfcc81lrEdLR8/zUCwWxdLpdV3lcrl5JIhoJ380TZ7n4ayzzoJt2/jBD36AT33qU9i3bx+Gh4exb98+ZDIZPP/886jVanjllVdQKBTwyCOPTBo1kqlppjDGUKlUAECoHfApFApIJpNCZkhVVezbtw+2bSOfzws/tpChiTGGWq0G13WRSCQCTycGYKQOjOYqsIu2lCXihUIBiURCimm0bRuJRCIUmhRFweHDhzEyMoJGozFl3jHGoGka1q1bh7vvvhu33nornnrqKbz1rW/F/PnzYds2AKBcLkPXdWFDLKvflKXJbwd2794tbGAAoFKpQFVVYUN8rL58w4YN0147zgxx7uL88y8A5xymaULTtHEjQ5qmYdWqVUgmk22LdRwH+XwefX19bcfwyeVyME1T+HRzx3GQy+XQ19cnPFQXjUYxMDCAxYsXC8VxXRejo6PCmnithr27nwcadSy8+GIYAukuS1O5XMYPf/hDMMZw6aWXYs6cOc3P+vr68Jvf/Abz5s3DZZdddsxveJxzjIyMSMm7QqEAVVWFG2VfUzabnbbzUlUVW7dubW7532g0sGvXLtRqNdx8881YtWoVPM/DU089hR07dmDt2rVCmjzPw/Dw8FE1zZRSqQQAQu2AbE1z586FZVk477zzhOIAwNDQEHp7e4U6VGCsgXccR0oHJkPToXwdD+zfhr4Yw5VX/oUUTT09PUKjMABQrVZhWRYymYywpuHhYWQyGWFNBw8exODgINasWXPUv7viiivw1re+Ff/+7/+Obdu2YdOmTbjpppuwZs2aZnsps4/q7+8XigMA+XwehmEgFosJxSmVSohGo1i3bp2wpkKhAE3TEI/HheL4ad5OOk0qMf5okD9k5Zsh/zP/fRFkxGiNIzOWaIeqqmoznUTwv3mIauKv56HXEi9oTf71bApN8Xgc0Wi0uZpsJmZIVt5pmiYl71o1Ha2TX716NX7yk58AGGtYvvzlL+Pv/u7vMH/+/Oa9+COzopo8z5uRppngawmTJln1DnijLRA1Q7LSSZYmVVXH6t3r7bssTTL6A7/OhEXTbMrTwoUL8a//+q+49dZbce+99+Lmm2/GRz/6Ubzzne9EJBKR3kfJiiMj32TXOZn95myh1WREqIhEIjBNE5VKpTnU3Kn4XzT8Lx+xWAy6rkuf6EoQxPElkUjgpptuwic/+UlwzvHtb38b3/nOd1AqlaSYBeL4Q2aICBX+kHI3mKFWYrEYPve5z2H+/PlBSyEIog1UVcU111yDz3/+85g3bx7uuusufO1rX8Pg4GDQ0ogZQGaICBWRSKQrzRBjDKZpCj8uIggiWFavXo1/+Zd/wapVq7Bjxw586UtfwoMPPkj7EYUcanmJUGGaZvMxmcjqKYIgiKBYsmQJvvjFL+Laa6/FoUOH8NWvfhX/8R//QRurhhh6mEmECn/Jp7+HBUEQxMlIIpHAxz/+caxYsQJ33nknfvWrX2HXrl346Ec/iosvvjhoecQEaGSICB3+XhPFYjFoKQRBEG3DOcfatWvxla98BRs3bsTBgwfxla98Bd/5zneQz+eDlke0QGaICB2JRAKMseZ+NgRBECcjnufBsixks1l8+tOfxuc//3nMmTMHd955J77whS9g69atQUskXocekxGhg8wQQRCdyKWXXorly5fjRz/6ETZv3owvfelLWLt2Lf7qr/4KS5YsCVpeV0NmiAgd/pERZIYIgug0BgYG8E//9E+47LLL8KMf/QibNm3C008/jWuuuQbvete7hHd2fKYAFAAAIABJREFUJ9qDHpMRoYNGhgiC6HRWr16Nr371q/jrv/5rAMCtt96Kz372s9iyZcvkZfiaBk+b/pBRQhwaGSJCRzKZJDNEEETHk0gk8IEPfAAXXXQRfvzjH+PRRx/FV77yFVxxxRW4+uqrsfz0M6BWjgBP/BDxIy/CTfaALbscyplvBRSx42KI8ZAZIkKHP0xMq8kIgugGli1bhs9//vPYvHkz7rjjDmzatAkPbfkjrrtqDT4QeQQstxc6GDhjwK5fg3ku2DnvClp2R0FmiAgd6XSaRoYIgugqFEXBVVddhTe/+c34/e9/j9/e+zso229H6ZQC1EgMhmFA13SAu3Ae/S60BReCpRcELbtjoDlDROhIJpMwDAO1Wo02XiQIoqtIp9O47rrr8P/9n5tx5YVL4YGhXq+jXC6jWq3C5R5Y+c9gIy8HLbWjmGSGGGOTXhPfF0FGDNmxZN1bGDW1Xi8r7463JsMw0NPTg1qthnK5fEI0tcaSFSdMp893ejqFuV2Rgex6J4NOTaewxOnv78fCpacjmYgjGo2CMYZarYZSqYhSpYbBPxdOuKbjEUdmLJE4Ex6TMVSrVTiOA9u2oWkaFEWBoihwHAfVahXlchmKorR96JzjOCiXy4hExGbGM8ZQLpdh2zZc14XneW3HatUkkiGqqqJSqaBSqaBarQodzOe6rrgmRQH3Dzx1HFQqZejRKLw2dcnQpCgKyuUyHMdp5mEikYDrus3Pa7Ua4vE4hoeHcfjwYUSj0ebnE+GcS8k7X4uqjk1KFClPnuehXC7DMAyhg1cjkQgajQZc14VlWUKjZLI0+enk/x6GdPLrnWVZqNVq05aVmVIul6HrerMstIOfTq7rQlVVoXSSoUlRGCrlOhzXgW0zlMsVAOKaNE2DprU/24KxsT7HsixomiaUTq11WESTqqrNURiRdly4j1I0sL4LoLF7EI3o0DUNlmWBNyp4aF8dP/n6D7Bi1fN45zvegaVLl8IwDNi2fdT/x9ek6zo4522ntx+nWq2iUqlIyTc//0Vi+X2UaZpTfp5IJKa9dkKJGRPCOW++fPx/u64rdICmH0PGCb5+HNHGr/V+RTpUP+1E00iaptev9zwP8Dy4LocimHeimvz08Qs85xyO44z7t6qqSKfTePXVV1EsFsd9fjw0+fjlSGZ5EqG1YbMsSyhea70WRVY6ydLkeV6zLThaWZkpssqTX9ZF00mGJs4Bl7uA56e7PE2i+eenkYx08suBrLoi2o4L9VHcBjvrLwGnDGy7HUo1j1gsBvXMywBrFfhvH8G9v/0tHti8GRdeeCGuuuoqrFq1CqZpHrWP9Q26aHrL6n/9WIyxQNveSfY5Ho/D8zyYptkcGfJFJhIJpNPpo7qrY+F3hKlUqu0YPpzz5innIviZmk6nhTUlk0mkUinh+/MLmagmzzAwHImAcxepVAq6gC5ZmlRVha7rYIwhlUpNucnYvHnzsG3bNjDGjroJmed5cBxHSt752uLxuFCMVk2iHWo0GoWqqkJ1zse2bSma/FGcMGlKpVKwLEvKhnWWZSGdTguNVgGApmlwHEdKWydDU5kb0DQNkYgqVZPICBowdjizZVlSNPnlSVRTKpVCqVSS0o4L91GX/R2cs9+J6itPIj3vVLB552KjGsFl73gfNv1+EzZv3oynnnoKu3btwtlnn42rr74a55577rRtoud5MAwD0Wi0fU0YawcSiYSUfAPG6kssFhOK4fdR7WiaZIb8YarWlz8cLjqE1RpfBrJiTbzXTtLUqkdW3snQNNXvrWQyGdRqtWMur+/kvPNjyaAbNIW1XZGBrLa39aconZpOYYyDnkWwl6XBejPNt7J9Wbz//e/Hhg0bsGXLFtxzzz145plnsG3bNixfvhyrV6/GlVdeiQULFowzh6G7N4mxROLQ0noilGQyY5U+l8sFrIQgCCJguAu49pQf9fX1YePGjbjqqqvwyCOP4NFHH8X27duxZ88e3H333VizZg3Wrl3bfISmaVqoFneEBTJDRChJJpMwTROjo6NBSyEIggg9iUQCb3/723HllVdi//792Lx5M55++mls3rwZDz/8MJYuXYp169bhnHPOwdKlS4OWGzrIDBGhJJ1ON82QjMcoBEEQ3UAkEsHy5cuxfPly5PN5bN++HQ899BCeeeYZfPe730Umk8GKFStwySWXYNWqVdLmW57skBkiQkkqlUIkEkEul4PjONB1PWhJBEEQJxWZTAbr1q3D5Zdfjv379+Phhx/GY489hoceeghbtmxBf38/LrroIlx00UU466yzpCyKOFkhM0SEklQq1RwZcl2XzBBBEESbKIqCJUuWYMmSJVi/fj0OHDiAbdu24cknn8RvfvMb/OY3v8GyZctw4YUX4rLLLsPcuXOb8zanD6qBK53TLpMZIkJJOp1GJBJBPp8X3uuDIAiCGCMej+PCCy/E6tWr8aEPfahpirZu3Yo777wTP//5z7Fw4UKcfvrpWLFiBVasWIH+/v5JcdShFzDnz4/B2x8FW7gSYGLbGQQNmSEilEQiEZim2dxduJuHbwmCIGTBOYdt29B1HfF4HJdddhkuu+wyDA8PY9u2bXj88cexZ88e3HPPPbjvvvvQ29uLM844AxdddBHOOPMsnNLfA+P5u6E9+p84rVqA89ovoJx6CZTLPwPWsyjo22sbMkNEaJkzZw5eeeUVDA4OYmBgIGg5BEEQHUtfXx82bNiADRs24MCBA3jppZfwxBNPYOfOnXjiiSfw4IMPom/OXHzoXA0b1CcBpgAcgGOBv3AvvPIQtPd+BzDlbML4/7P33uFxVPfi/jtlm9ruqtmyJdwlG7CNC24EA650+F4IOIGbSkh+97kk4ZKbUPLl0lvgGyAhD0m4SYCEEIcbzCXggo0xBNsEV7CNK7Isy029bJud8vtDzCJ3eWfMrqTzPo8esKT96J1zzpzzmTNnznzRiGRIkLWUlZVhGAYHDhzItIpAIBD0GSoqKqioqOCiiy6itbWVjz76iPXr1/PRx5vI2fcOkXAUQ1I6305hmqiKjNqwCzVyUCRDAoHblJWVkUwmOXToUKZVBAKBoE8SDAZTt9Kam5tR538Dc/8mMDpfOxSLxZCxSHRovP7zJwiPnsE5Y0bTr18/CgsLM63fbUQyJMhaBg4ciGma1NfXZ1pFIBAI+jzhcBiz8ksYTduwVD+xWAxFUTCTcdpjsPqTXexZuROPIjFo0CBGjhxJVVUVY8eOZeDAgY7fGXc6EcmQIGsJBoPk5ubS1NSEpml4vd5MKwkEAkGfRhr7ZaTdq7D2b8Yjg0cFyReiYs6/8aP8yaxft45t27axe/du3njjDRYvXkwwGKS8vJzhw4czcuRIKioqGDBgQOrFyqqqZjxREsmQIGvJzc2lqKiIpqYmOjo6etSUq0AgEPRGpMLBqP/naeIrn6OxegsDhoxAGjETdcQMxgBjRo/GMAz2799PbW0tGzZsYNOmTezbt4+tW7fyyiuvUFhYSP/+/SkvL2fUqFEMHDiQ8vJySktLUdXMpCUiGRJkLXl5eRQVFVFbW0skEhHJkEAgEGQDoXKSF/yErb5VVMyccdSPFUWhvLyc8vJypk6dimVZ7N27l507d/Lpp5+yfft2du7cyfbt21m+fDmGYdC/f39GjRrF0KFDGTVqFEOGDCEcDn9hh3RUMmRZFpZlYZpm6v+P9ZUubsRwO5ZbcSRJyjqnbKy7rjFOFC8nJ4fCwkI+/vhj2traUr9/OpzcjOVWedvtqWvcTDt19ci2csrmdpANTpZlYeFO3bnl5GacbHTKtjiuOhlJMI1ux+n6hFosFqO9vZ2amho2b97Mpk2bOHToEKtXr2bp0qUEg0Hy8/MJhUIMHTqUESNGMGjQIIqKiigsLCQnJ+eEx3U8pxO94/KwZEiSJNra2kgkEvj9flRVRZZlZFlG13VaW1tpbGwkmUximma3CuBI7DhOkSSJ5uZmfD4fOTk5jiq2q5OTF4KqqkpLSwter5eCgoK0ywjAMAxaWlqcOUkSZjRKPB6HRILm5iYUWYY0vdxwkmWZ9vZ2NE1DkiSamprweDwYhnHU73q9Xnw+H7FYjF27djFw4ECSyeRhv2OaJs3NzY6c7M+2traiKAqJRMLxoGO/YFaW5bTjBAIBIpEIyWSS1tZWNE3LuJMkSbS3twOgaVpWlJOqqjQ3N6NpGs3NzcdsS6dCU1MTpmk6WsMgSRIdHR0YhoGu644HHqdOsiTR3JIgqSWJK0kaGhoc+dhOhmE4uq0hSRLRaBRN0zCM7g+sx6OxsRFd1x05KYpCU1MTra2tqXJPh9MxRjl9YbUkSbS0tKQ2XEzXye4H7JzgVOPIsoyqqgwfPpyqqiouvPDCVJnv3r2bTz/9lN27d7N79262bdvGq6++iiRJlJaW0r9/f8rKyigvL2fQoEEMHDiQ3NxcfD4fqqrS0dGBx+PBNM2j6u5YO2nbHNZiLMsiPz+fvLy8YyZDBQUFFBYWphY9pYOu6yiKQlFRUdoxbCRJwu/3EwgEHMXRdR1ZlikqKnLc2ILBIKFQyPH0nmEYSJLk2MkMBGj1+7GwCIXCeB14ueXk8Xjwer1IkkQ4HD7hO3CGDh2aSgoKCo7ev8Ju7G7UnaIoKIrieLdre1a1qKjI0SAPneumPB6Po3MOPr9qcsPJfk9cNjmFQiE0TTv5+5S6gWmaFBYWOl7Q6fP50HXdlbeCu+EUlWJ4PB58PtmV/tc0TcLhsOM1Hn6/37W6syyLUCjk2Km9vZ1oNOq4Hz8dY5RTZFnG6/Uec3blVPB4PKmcwCmGYVBaWppyMk0TXddpbGykurqa6upq9uzZw759+9i7dy+bN29GVVVUVcXn81FRUUFVVRVDhgxBkiRGjBhBaWnpKZXXUS1GluXUldqJvtLFjRhux+oax+mA6pZT1zpw5GR/XpIce7nlZH9e6oZTWVkZXq+XXbt2Hff3sq3u3IxlH5Ob7cmN8yUbnbKt7rLN6cjzLhuc3IyTjU7ZFiebnbrOLtkJW1lZGWVlZUybNg3oTFJbWlqor69PrTvau3cvjY2NvPnmm6lZoZKSEgoKCgiFQqkZpIqKCiZMmHBcB7GAWpDVlJWV4fF4OHjwYKZVBAKBQJBB8vPzyc/Pp6KigvHjxwOds2Z1dXXs27ePuro6tm/fTmNjI7W1tdTW1rJx48bULdi33377uLFFMiTIasrKysjLy6OlpYXGxkZXpokFAoFA0DtQVZVBgwYxaNAgAOrr6ykoKCAej1NfX09NTQ27d++mrq7uxHG+CFmBIF28Xi+DBg1iy5Yt1NXViWRIIBAIBMfEXtfq8/nw+XwEg0GGDx/erc86v9knEJxGFEVhyJAhtLe3nzSzFwgEAkHfJt0n5EQyJMh6Bg8ejK7r7Nu3L9MqAoFAIOiFiGRIkPX069ePgoIC9uzZc9Q+QwKBQCAQOEUkQ4Ksp1+/fhQVFVFTU0MsFsu0jkAgEAh6GSIZEmQ9xcXFFBYW0tDQQEdHR6Z1BAKBQNDLEMmQIOtRFIWysjIsy2L37t2Z1hEIBAJBL0MkQ4Iewdlnn008HmfDhg2ZVhEIBAJBL0MkQ4IewciRI1FVlerqarGIWiAQCASuIpIhQY+gqKiIwYMHs3//fvFqDoFAIBC4ikiGBD2C/Px8RowYkXprsUAgEAgEbiGSIUGPQJIkRowYAcDOnTszbCMQCASC3sRRyZAkSUd9Hfl9J7gRw+1Ybh1bNjp1/bxbdZcpp8rKSoLBIBs3bnTdqWsst+K41c7doLeXUzb3K27g9nnnBr21nHpzHDdj9TanI17UKhGLxTAMA13XUVUVWZaRZRld14nFYkQiERRFwTTNtP6grutEIhH8fn9an0+ZShKRSATDMDBNM+33kUDny92i0SgdHR2OKkRVVaLRKNFolFgslnYZueYky1jRaOeCY10nGo3iyc3FMoy0wpmm6dhJlmUikQi6riNJEtFolHg8jnESJ0mSKC0tJTc3lx07drB792769+9PMplMtScndWe3J0VRkCTJUXuyLItIJILP50OW05989fl8aJqGaZokk0k0Tcu4k11O0FmX2VBO9nmnaVq32tLJiEajeL1eFEVJO4ZdTnY/6qSc3HBSZIloNP5Z324SiUSBzDoBqT5A0zQ8Ho+jcrLLXFVVVDX9d5ArikIkEiEWiznqx90co/TP+u9oNOpKGSWTSSzLSjuWHScWi7nmZNeZG2O53UcdSW5u7nE/e1iLkSQwdINkMomiKFiWdVgypOt6qlNOV9iO4fSJIEmSUp5OOxvDMFJOTgZUO4l0WkauOUkSVjLZeTJ/NqBaiQSk6WUPyk6c7Hqzy8Yuq+50OKqqMmrUKJYtW8aaNWuYO3cuyWQyVeZOk6HkZ2XV1S8dLMtKOTkZ5IFUR+p0kHfLyS4nIGvKyT5XdF3vdls6EXYbdxLHLif7+JwmQ06d9C7t2zQlksn0E2u3nODzcrK/3Conp32vPd456cfdHKO6jitOsJ2O7IfTjeNG++7q4kbdpZtfHJYMWZZFXl4elmXh9/tTM0OSJGEYBvn5+YRCIfLy8hzJSpJEKBRKO0ZXX7/f73iWyTAMLMsiHA47diooKCAYDBIMBh3Fsa8knDpZPh+Nfj+mZRIMBvE48OrsSE3HTqqq4vF4kCSJYDBIQUFBtz970UUXsWzZMmpqasjLy0OSJFecoPOkVBTlhFcP3cGyLAzDIBwOO576zcnJQVVV8vPzHcUBXHOyZwKc9ANuOwWDQTRNO6W2dDx0XSccDjtOZD0eD7quZ41TxPLh8Xjw+RRX+l9d1wmFQo5mhgC8Xi+apjnuM6GzPbnhFAwG6ejocOzk5hgFuFJv0FnmgUDAUQxFUcjPz3el3iRJQlVVcnJyHMWxx810yumoM8ueOuv6deT3neBGDLdjuXVs2eh0ZB1mi9Ox/r87DB06lIEDB/LRRx/R1NR0mJdTsq3u7Fhu0JvbuJtObsbKNie3+oGu8XpjOfXmOG7G6m1O4mkyQY+itLSUyspKamtrxas5BAKBQOAKIhkS9ChkWWbcuHEoisKqVasyrSMQCASCXoBIhgQ9jgkTJpCTk8P69etpaWlxvLZDIBAIBH0bMYoIehwlJSWcc8457N27l3Xr1jl6jFYgEAgEApEMCXocqqoyffp0LMvi3XffJR6PZ9UGhwKBQCDoWYhkSNAjmThxIhUVFaxdu5a6urpM6wgEAoGgByOSIUGPJBgMMmnSJCKRiFhILRAIBAJHiGRI0GO58MIL8fv9fPTRR3R0dGRaRyAQCAQ9FJEMCXosQ4YMYfLkyWzZsoXVq1dnWkcgEAgEPRSRDAl6LF6vlyuuuIJAIMBrr71GPB7PtJJAIBAIeiAiGRL0aMaNG8fYsWPZunUr7733XqZ10iYej7u2tb1AIBAITg2RDAl6NJIkMXfuXHw+H//7v/9Le3t7ppVOibq6Ou644w5uvPFGbrrpJtasWZNpJYFAIOhziGRI0KOxLItzzjmHiRMnsmnTJhYvXpxppW6TTCZ54oknKC8v59lnn+XKK6/k6aefprm5OdNqAoFA0Kc4KhmSFAVJVT//+uxVB5Kqwmc/c4Id1w3cipU6Vjc27lMUJEVx7mTXg0MnSVVBlkGSnNedm06S5IoTkoTH7+f/XHst+cEg/7NgAbVp7jvkWnuS5cPOneNhAF+64AL+9etfp7i4mBmzZxNPJmmLRFK/Y8kyhmOjzhm07jh1K5Zb5eSmk6KAC+cdfHZ8bpzDbvd1Dp26nneuObnY/7qBa06K6kp76tVlpLpTRnYsd+ot/Rzl8E9JMrG9e9GjUXS/D1VRkWUZWZYwDANp3z5iO3cg5+ZhWWZaf9AwDOLt7URCobQ+n1KVJGKtrZheH2bA72i9hWEYJNrb6QiGHPUTsqJg7a1Fi8WIJZOYaZYRgGmYxNta6QiF03eSZKxYDL2lBbQE0V078RQWYpnpeZmmSbzVmZMsyUQiHVgdHVhAdOcO4iUlGGk7WXS0tTI8FOLy8eN4550VLH3hea6/7nqQ6Ha7kCSJWHs7iqIg5eQ4ak+WZRFvaSESDCHJxy8oSZK4Yvx4jIZ6Ek2NvP/22wwP+Al2tBP9dBey10deawsVskxsTw1mMunACeItzXQEQ8gncDoZkiQRi0SwLAs5L89hOdlOQUfvl5MVhWRNDaaeJJYTwEyzLdnEm5uJFASRlfSdJEkiGo1iGAZqfr7j9WBOnWRJItKWxIpGMA2LyK5dgBtOBSgOBkRJkojFYiSTSTwFBY7KSZKkTqf8fEdOsiyT2LcP6uuJFRWl3Y9LkkS8tQ3T58X0uzNGuTJutrWhezxYgUDaTnY/IO/fR/TTXY7rLdrW3vlapZz0neDzcTMSDh/z57nDhh/fw+rylw81tbLjF0/Q/PHH+P1+FFnunDqSJMAiGokSyAkgS+l3EhYWpmE6aqw2hmEgy7LjmQq3nOwOUFVVPF5vZ2+faSfLQm5tQbIs9IIgqKojL8MwnHU0kkRE03jqg39iWvD/nTuB4kAAw6GTqqqYpkltbS26oVNRUYHf58cwuj+vYpgGEpIrL341DANFVU483kgSeXm5FOQXUFtby4EDBxh15plYlkl7eweKLHPo0CHa2toYOmxY2klsVydZkZFwdr7YyYZb5eT0HJYkiXgijmVaBBx08Ic5uVFOlollWSiyS32dAycZi3oln//xj6FQ7+DaxEcZd7IxTRMLUNxqTw6dJElCS2roSZ1ATo6z/tI0kSQJOUvGqJQTzs9f0zKJRqPk5eZljdPJymn683887mcPmxmyTJN+54ynoF9//H4/qqIgSxKSJGGZJtW7d1M+cCD+QMDR7EIsHic3Jyetz6eQJGLRKKrHg8fjcdRgbaecnBxHp7WkKOypqSEvL49CBzMwAKZlEYvFnDnJMmYiQcuHH0BSJ3juJJS8PEi37lxwkmWZtmgUX3UNFnDGhRdRGg5jnkLScpRTNEpObi6youDfu5dlS5dyqK2DuXPPo7ikBFPXTx5IkojH48iyjNdxIgvRSISc3NwTlpMky1iWxeJFi8jJy2faNy4h4PeTTCYpNk1kVWXPihXs2LyZWXMvTruMTsXppEgSic+2MPD5/a6UUyAnx9FgISkKhw4eRNd1BgwY4DhpjESjBAIBZwOYJKFpGqZp4ndYTm44yRL4NQXfLpWAUsCQEQNwOjMUiUYJ+P3OBjBJIqlpGIaBPxBwVk6SRCQScewkyTLNzc20t7dzxhlnpN+ePpv1UhXF8cVxatzMzXVcRvFYDFlRnPVzkkQikaC2tpYhw4c7d3Kp77XHqHTyi8OTIUOndOYsLElKJUN2fmUAu1asoP+kyeQF/GnLGkBLSwtFDqf7AFra2/EHAvgd3ms0gObmForDzp3q1qwh2L8/5eXljuKYQJMLTpauo7W0YMVjlF93PWow/XhuOYUSCdQlS5GAinlfpfg4U5rdwQIam5tTMUoNk8UJnUVLl2LGEvz4+q90+ymBtmgURVHI9fnS9rFpaG6mKBw+aeLx33/4A2vyQ9x5152UlpZiWRZ+jyf1uX37D/LWho94YN5XvzCnk9ER60yGnPQDrjvt3ImmaZSfeaYLTi0UhkOOny6Jahq6rlPg9MLPJSe5Xcfz4mo8eQoVN0x1xSkcDuF0riKeTJJIJAjmOZ9haGxpIRRy7sT+/UTq6iifONFRmJaODvx+f1aNUa0dHXh9PgIej6M4HfE4u1etouKiixw7tUWiqB6VHK/XURwnY9RRNWQZBpZlYSkKlmVhyjKyLGPpOhgGlp4E0u8ELV3vjOUClq5jJZOdt36cxtGTWJblfBG1YbhyfNZnZe3UyUomO2eCTBMz6czLdSdJcrQOBjpnMy1dTzl5FZnvfecm9lR/yttvvcWwwYP58pe/3G0vyzTBYTJk2k6mecLFwfv37+eZp58G4Dvf/CbJZJKioiKeeeYZSktLAZBM03nHTuc6pu44dSuWbteZs2TITSd0vfPLBSw9iWUYjheHWsmki32dcydTT3ZedTucOTvMSdcd97+mq+Wku+JkudSerGQSS1FcG6PcwNJ1LFkGh8mQlUyCg9nqw52SWFjgMBmyUjnKqePO8nSBIIsoLS3lu9/9Lg8++CAvvfQSVVVVjBkzJtNaR1FUVMTf/vY3EolEah2OqqoUFhZm2EwgEAj6FmKfIUGv5Nxzz+UrX/kK7e3t/PKXv6SmpibTSkfh9XoZPHgwVVVVjBo1ilGjRjFixIjOpyoEAoFA8IUhkiFBr+Waa67hmmuuYdeuXfzsZz/j4MGDmVYSCAQCQRYikiFBr0VVVb797W9z2WWXsXXrVh599FHq6+szrSUQCASCLEMkQ4Jejdfr5Xvf+x4zZsxg/fr1PPbYY+zduzfTWgKBQCDIIkQyJOj15OTkcMstt3DeeeexZs0aHnjgAbZt25ZpLYFAIBBkCSIZEvQJ8vPz+dGPfsT555/Pjh07uP/++8Ub4gUCgUAAiGRI0IcIhUL85Cc/4fLLL2f//v08/PDDvP3225nWEggEAkGGEcmQoE+Rm5vLv//7v/P1r3+dWCzGz3/+c1544QVisVjna10EAoFA0OcQG5oI+hwej4evfe1rlJSU8Pzzz/OHP/yB7du3M2/ePCorKzOtJxAIBIIvGJEMCfosl1xyCcOHD+c3v/kNK1euZNu2bXzrW9/i4osvdv5aFoFAIBD0GMRtMkGfZsSIEfzXf/0X8+bNo729naeeeooHH3yQnTt3ZlpNIBAIBF8QYmZI0OfJy8vj5ptvZtCgQfzpT39i6dKlbNiwgWuvvZYrr7ySHBfeOi4QCASC7OWoZMi+PSBJUurrWP9OFzdiuB3LrWPLRqeun3er7nqjE8D06dM588wzWbhwIYsWLeK5555j9erV/Ou//isTJkzIiJNbuN3G3SAbzzs3Y2Wbk9vtsbeWU2+O42as3uZ0RDIkEY/HMQwDwzBUnTArAAAgAElEQVTweDzIsowsy+i6TjweJxqNoqoqlmWl9Qd1XScajTq+2pYkiWg0mnrbd7o+tlMsFiMajTqqEEVRiMVixGIx4vG4IyfDMJw7SRJmNIqu6/BZPD2RgM/KLBNOdr0ZhoEkScRiscPe2n6qmKZJNBp1XHeSJNHW1kZeXh7f+ta3GDt2LH/+85/ZuHEjO3bsYO7cuVx66aUMGjQI6Gwzx8OyLKLRKIFAAFlO/0601+slmUximia6rpNMJtOO5ZaTXX+Ao37ATSf7vNM0zVFbsrHbuKIoacfo2s69Xq+jcnLDSf7sXDNMA8OwiMVijnxsJ5/P5+jFwl37AJ/P57icotEoXq/XkZMsy0SjUeLxuKN+3D42N8cop/Vmt0td15EkydGxuVFGXWPZ+YYb4+bxyikQCBz3s0e0GAvTNDEMI/Vfy7JSnbHdIScSCSzLSkta13USiQTxePyUP3skiUQCcH7FYyd68XjcUSxZllMdshvJkBtO5mfJLYZBIhHHiMUgTS83nCRJIpFIpJIhO56TZMgub6ftIB6Pk0wmkSSJs846izvvvJO33nqLBQsWMH/+fJYuXcr06dOZO3cuQ4YMwbKsYyZFXZ2cDPL2eWcnfIZhpB3LsixXnODz885px+yWkyzLJBIJksmko7ZkY7dJJ8mQHcdOhpzi1EkCEvEEpmGi66Yr/a/t5CTxgM52lEwmXUnQ7PbkNBlKJBJomua4H7c/7+YY5RT7gsGNfkDTNNfqzTAMx05dx6hj0e1kSJYV/vnBB2iaRigUorS0lEAgcFgAj8dDfn5+2tJ2JYTD4bQ+3xVJUfH7/fi9zvaHsQfmwsJCx07BYJBQKEQoFHIUx+7QnTpZgQDNfj+mZRIKhfE48HLLyePx4PV6kSSJcDhMMBhMO5adlLtRd4qioCgKubm5QOdaohtuuIGZM2eycOFCli1bxsKFC1m/fj0zZszgkksuYcCAASd0ctoJ5uTkoKoqBQUFjuJAZ/254WTvx5SXl5c1TqFQCE3THLUlG8MwKCwsdNwx+3w+dF13pe7ccIpKcTweD36/4kr/axgG4XDYcdLo9/tdqzvTNAmFQo6dwuEw0WjUcT8uSVLnGOX3O4pjj1Fu1Jssy3i93hMmBt3B4/FQUFDgipOiKKiq6viOkT1GpeN0WDKkqgqLFy/mww8/TA1WXq+XYDCIx+MhEomwZMkSiouL8Xq95OfnEwgECIVC5OXlUVBQQG5uLgUFBan/t2+zybKcup/n9Eqi86h1aKkFjwrF5eBJvxDtwcuNDD7dGbPT5dTVx6mXm07H+v9MOnWNdST9+/fnm9/8JrNnz2bx4sUsXryYP/7xjyxdupRLLrmEOXPm0L9//9Pm5AZ9wcltr2yJ41Yst/qBrvF6Yzn15jhuxuptTodlJYZhMHv2bKqqqohEIpimSVtbG8lkktbWVpqamtizZw/V1dW0t7djWRayLKOqauqq2s7wFEVBlmWCwSAFBQWphCkYDOL1eqmoqCA/Px+/309eXh55eXnk5ubi8/lOfsANn2IuuQ//gS3IkoyeV4Ry/veRRs5NqxAEgu5QXl7Ot7/9bebMmcMbb7zB8uXLef7551m4cCHTp09n5syZVFZWphJ/gUAgEPQMjkqGZs2ahSRJqSk0TdMwTZPW1lbef/99qqqq8Hq9qQV9LS0ttLa20tbWRnt7e+rfHR0dqcXSzc3N7Nq1C03TSCaTdHR04PF4yMnJSd2Gy83NTf27oKCAoqIiwuEw4XCY4uJiwuEwgUCAHNXEv/RBrN2rkBQvkixD8x6MxfehFg2BErGDsOD0UlFRwfe+9z3mzJnDSy+9xIYNG5g/fz7Lli1j4sSJXHzxxfTr18/xbRaBQCAQfDEcdb8qmUympq1VVcXj8SBJEj6fj6KiIoYOHdrte43t7e3E43GamprQNC2VJNXW1qZ+3tDQQFtbG21tbdTV1R3ziRl72svjz+GCcoubij9GVlQkKZ66BafED9K64r+Jn/cflBSFXVm0KBCciKFDh/LTn/6UrVu3smzZMlasWMGSJUt45513OOuss7jqqquYNm2aO7eFBQKBQHDaOGkvbSdG9uP2J3qk+Ejy8/PJz8+npKTksO93dHSkFl/aT4HYT5lFIhFaWlo4ePAgbW1tNDc3U19fTzQapS0ap8Da9dlTPElM8/N7g17ZZOOKv/PMX/eSH/AQDAYpLi6mX79+lJaWUlpamrpVl5OTQ25ubiqpU1UVVVXFrQ1BWowcOZKRI0dy9dVXs3TpUlasWMEHH3zAli1bOOuss5g5cybjx4+nX79+mVYVCAQCwTH4wi9Z7UcE7WTI5/N1a50QQDyhoe16H+/fb8UydQzj8/0bJD2BVlhJMJZHR1szra2t7Nq1i2QymUq2/H4/oVCIgoICgsEgwWCQwsJCBg4cSG5uLlVVVRQVFeHxeLrtJBDYDBw4kK9//etccsklLFy4kFWrVrFp0ybWrVvHoEGDmDx5MrNmzWLIkCGOn3YRCAQCgXv0qPl7v8+L/8zpGLX/grn2TyjKZ7M5po40YCyzr32WWTlFaJpGfX09DQ0NNDQ0UF9fT1NTEy0tLTQ1NdHa2srOnTtpbW3tvMWmKJimid/vJxgM0r9/fyoqKujXrx8lJSWUlpZSWFhISUmJ40ckBb2f0tJSrrrqKq699lo++OAD3nvvPdasWcNf/vIX3nzzTcaPH8/MmTOZMGGCeNWHQCAQZAE9KhnqREG58D+QcgrRti9HNpMoA8egTPsuFHTehlBVlUGDBqV2C7axd6eMx+PEYjHa2trYv38/+/bt45NPPiESiaTWNNn/tp+Iy8vLIz8/n2AwSHl5OZWVlQwcOJCSkpLUk3D23xYLZ/s2pmmSTCYJBoPMmDGD6dOnU11dzdKlS/nnP//Je++9x+rVqxk2bBjnn38+559/PgMHDsy0tkAgEPRZemAyBPjykM//d+JnfQWfR8Wb373NuhRFST3Gb3PWWWcB0NLSQigUorW1lYMHD9LY2EhDQwP79+/n4MGD1NXVceDAAWpqali/fn1ql+7+/ftTVlbGgAEDGDhwIC0tLUyYMIGysrLU5nSCvknXBxFGjBjBiBEj+PKXv8zq1at5++23+eSTT9iyZQuvvvoqU6dO5cILL2TMmDEimRYIBIIvmJ6ZDH2GJSngcb62x37NiGVZqbVEXTEMg0QiQSKRoKGhgZ07d1JbW0tdXR319fXs2bOHtWvXoqoqsViM119/ndLSUoYMGUJlZSWDBw+mf//+DBw4UDzl1scpLi7m8ssvZ9asWWzevJmlS5eybt06FixYwLJlyxg1ahSzZ89m3LhxFBcXi8RIIBAIvgB6dDIEVtrv2ToVFEUhJyeHnJwcwuEwI0aMSP3M3oyyvr6euro63n777dRWAuvWrWPFihVIkkRJSUlq9mj06NFUVlZSVFSU2qVb0Lfw+/1MmDCBCRMmsHv3blauXMny5cv56KOPWLt2LUOGDOHCCy9k79694tF8gUAgOM2IXtYh9kzSkCFDgM5diouLiykoKEjt1l1dXc3OnTv55JNP2LBhA4sWLUJRFCoqKhg+fDgjRoxg5MiRDBs2LPUUm6Io4lH/PsLgwYMZPHgwV199NStXrkwtuH7hhReorq5GURRWrlzJxIkTxcyiQCAQnAZEMuQypmkiSRJFRUUUFRUxbtw4ANra2mhtbWXr1q1s3bqVTz/9lIaGBpYvX87ChQspLCykqKiIMWPGMH78eM444wyx91EfIycnh1mzZnHBBRdQXV3N8uXLefHFF9m4cSMPPfQQgwcPZsaMGUyZMuWYL4gVCAQCQXqIZOgLwn55bUVFBbNnz8YwDPbv309dXR1bt25l48aNVFdX8/rrr/O3v/2N0tJSBgwYwPjx45k6dSqDBg0SC7L7CB6Ph8rKSiorK2lvb6euro6zzz6bTZs28Ytf/IJXXnmFKVOmMHPmTKqqqsRtNIFAIHCI6EUzhKIolJeXU15ezuTJk9F1nUOHDrFu3Tq2bNnC9u3b2bBhAx999BHz589n2LBhTJs2jbFjx1JVVZVpfcEXhKIoDBgwgAceeIBNmzaxfPlyPvjgAxYsWMCSJUs4++yzmT17NhMnTjxq4b9AIBAIusdxkyHrC1iYLPgcVVUZMGAAAwYM4PLLL+fQoUNs27aN3bt3s2rVKqqrq9mwYQPFxcUMHz6cKVOmMHHiRAYMGCAWYPdiLMvCsixUVeWcc87hnHPOoa6ujtWrVx+14HratGlceOGFVFRUiB2uBQKB4BQ4LBmSJInW1lY0TcPv96c2EJRlGV3XaW1tpbGxkWQyiWmaaf1BO45TJEmiubkZn89HTk6Oo+Stq5OTNTqqqtLc3IzH46GgoCDtMgKQZTn15Jn9GLb9aod//vOfvP/++4RCISZPnsy0adM466yz8Pv9mKaJYRh8djCY0SixWAxJS9DU1IQqy5Cml2EYtLS0fBY6vXKSZZn29nYSiQSSJNHU1ITH4/nc+RQxTZOmpiZHTvZnW1tbURSFRCLhqD1ZlkVjYyOWZTlKVAOBAJFIhGQySVtbG5qmAZCbm8vs2bOZOnUq69evZ+XKlaxbt47//u//Zv78+UyaNInzzjuP0aNHEwgEME0TXdddcZIkifb2dgA0TcuKclJVlaamJpLJJM3NzWm3JZumpiZM03SUUEqSREdHR+p9jk4vLp06yZJEU0scTdOIK9DQ0ODIx3YyDMPRbVpJkohGo2iahmEYjsupsbERXdcdOSmKQmNjY+qNBen246djjHK6hlSSJFpaWvB4POTm5qbtZPcDLS0tqXPYiVNrayuqqhKPxx3Fsseo45VTcXHxcT97WIuxLIu8vLzUqymOTIby8vIIBoPk5+enLWu/6DUUCqUdw8b2tF+46sTJsixCoZDjxpafn59aH+QEwzBIJpPk5OSQl5fHrFmzmDlzJu3t7dTU1PDOO++wdu1ali1bxvvvv8/QoUOZO3cu5557LmVlZZimiWlZmP4cmvy5WMgUhIvwFASRSK+x2RtNOi0nWZbxer1IkkRBQYGj9mQnf27UHXy+MacT7OQjFAo5TjwCgQCqqqa2drCxLIucnBwuu+wyZs+ezb59+3jnnXdYtWpVaofrIUOGMHv2bM4991wqKipSbdzpTKL9eSf1Zh+DG+UEnWvyNE1z7ASQTCYJhUKOZ9dUVUXXdVduX7rh1G568Xg8eL0SoVAQcHa+2E5O16x5PB40TXNcTl3bk1OnYDBIJBJx3I+7PUYFg0HH/ZxlWXi9XsevApJlOfVWBjdQVTX1Jod06TpGnfLfP/IbiqIgyzKqquLxeJBlGUmSkCQJRVFSb3hPF3tHXjcWfdpx3IrlxgJlt5zsOuj6KLWdPIwePZrRo0dz8OBB1q5dy6JFi/j000958sknU/vTXHzxxRQXhpH3fUhY+xBMDW/NO6hFV4Kc3nHadee0nOyn5NxoC/YtJLfqzm7jTjBNM+XktOOyz78TOXm9XgYPHsw3vvENrr76ajZu3MjSpUv5+OOP+eUvf0lFRQWTJk1iypQplJSUOHayXdw879xwssvdLSenCdrpKCenM2iSJH3Wt2RPX3c66s6NRNaNvsCtMnKr73XTya0yctPJHjfTiXPCT9jrFSRJcm0NUTavRbKPNRuwy+lETv369ePSSy9l7ty5rF27luXLl7Ny5Up+97vfs/itpfzo/BCj21cS1JrAMjGXbsWI7EGZ/gOQ0u9Ue1o5ZYpMOIVCIS644AIuuOACtm3bxooVK3j33Xf561//yt///ndmzpzJnDlzGDNmzBfqdSyyve6yjWx0ykZ6Yzn1xmM6HTgpJ/E0WS9AURQmTZrExIkT+fTTT1nwv3+nZu0yAluW0ZKrokoSHkVBkRTMNS8iVUxEHnp+prUFp5mqqiqqqqq4+uqreeedd3jjjTdYuHAh7733HuPGjeOKK67g7LPPTm30KRAIBH0VkQz1ImRZZvjw4fzoP37IwaUBPO9uIakn0XQDVVHI9frwWDrsXgkiGeozlJaWct1113HuueeyZcsWFi1axMqVK1O7Ws+ZM4dp06aJ3a0FAkGfRSRDvZR+AweiF+SjaRrRjghJXae9o4OAR8ZvmIhhr29hWRYFBQVcdtllzJo1i/fff5/FixezZs0a1q5dS1VVFZdeeilTp04V+xUJBII+h0iGeiv9zsbyh/CYjeT6fGiyRNKyaOlI8Oqb65mQu5ovTZuSaUvBF4hpmpimic/nY8aMGZx33nls3LiRv//972zYsIGf/exnVFZWcvHFFzNjxgxXnswSCASCnoDYra+3UjgY5YIfYKk+JEvHr8qEQmF2lM5k4dYOHnnoQebPn5/a6kDQ9/D5fEyaNIn77ruPe++9l9mzZ1NTU8OTTz7Jj3/8Y958803i8XimNQUCgeC0I2aGejHy6KtR8itofvlJSCYouuRmzhs6jciZy3nh+T/w3HPPsWfPHr797W8TDoczrSvIIOPGjWPMmDFceumlvPbaa3zwwQf8/Oc/Z+HChVx99dVMnTrV8b4kAoFAkK2IZKhXIyGVjaXVOwHLjBEecC7+nFyuvOJyBg86g2eeeYY333yT3bt3c+uttzJs2LBMCwsyiKIojBkzhtGjR7N+/XpeffVV1q5dy8MPP8zYsWO5/PLLOe+88/B4PGJGUSAQ9CpEMtTbMXUkDMAA8/MBbMyYMdx///08++yzvP322zz88MPcddddDBkyJHOugqxAkiTGjx/PuHHj+OCDD3j99df55z//yaZNmzjnnHOYNWsWU6aI9WYCgaD3IJKhPkxpaSk/+tGP8Pv9LF68mAcffJA77rhDzBAJgM6kaMqUKYwbN47169fzP//zP2zcuJF169YxdepUbrzxRiorKzOtKRAIBI4RC6j7ODk5Odxyyy3MnTuXnTt38tBDD/Hpp59mWkuQRfh8PqZMmcJDDz3Ej370IyoqKnjnnXe4/fbb+e1vf+vKSz8FAoEgk4hkSEAgEOCWW25h3rx57Nmzh8cee4xDhw5lWkuQZXg8HmbNmsX999/PV77yFTweD3/+85/58Y9/zBtvvEE0Gs20okAgEKSFSIYEQGdC9J3vfIc5c+awY8cOnn76aSKRSKa1BFlIOBzmG9/4Bo8++ihz587l0KFDPPnkk9xzzz2sWbMG0zQzrSgQCASnhEiGBCkUReGmm27inHPO4f333+cPf/iDeGpIcBSGYaDrOoMHD+YnP/kJd999N2effTZr167l7rvv5qmnnhIziwKBoEdxzGRIkqTDvuzvdf1vunSN6RS3Yh15rL3JqevnuxMrHA5zyy23MHjwYF5//XUWLVqUcaeTxeqtdecmp7OcJk2axIMPPsj3v/99ioqKeP3117njjjt49913TzhLlI1152asbHNyuz321nKy47iBKKPux8p0OR3xNJmEpmkYhoFlWaiqiizLyLKMrutomkYsFsPr9aY9Fa7rOrFYzPHOtpIkEYvFsCwLSZKwLCvtWLquE4/HicVijipEURTi8TjxeBxN0xzdLjAMw7mTJGHGYp2zO5/FMzUN6yReFRUVfOc73+Ghhx7ixRdfpLKykqFDh5JIJBw7ybJMLBbDMAwkSXJcVqZpEovFHNed7aIoCqqqOmpPlmWlnGQ5/clXr9dLMpnENE0MwyCZTGbcyT7voHMNkV1OqqpyxRVXcOaZZ/KnP/2J999/nwceeIA5c+Ywb948BgwYQDKZPKxc3XKyzztN0xyfd0CqjSuKknYMu5wMw8Dn8zlqT244yZ+1b8M0MAyLeDwBuOOkquk/lGyfd4lEAr/f76ic7DL3+XyOnOw+yml7so/NzTEqkUi4UkaGYSDLctqx7Diaprnm5PF4UBTFUSx73DxefuH3+4/72cNajCRBIpFINYAjk6GujT9dYTsZcmOxZSwWwzRNxx2NrutEo1ECgYCjAVWW5VQZRSIRx5XqhlMqGdJ1YrEoyUgEuuF15plnctlll/HSSy/x7LPPcvvtt6MoimOnriejJElEo1Gi0ajjZCgajTq+sohGoyiK4jhOVycng7yu66lkKBKJOLplaSceTp2AVDJ0rIG5X79+3HLLLYwfP5758+ezYMEC1q1bx/XXX8/06dORZRnDMFx1sgevZDLpqC3ZRKNRfD6fo2TIjmMYhqOB2S0nCYhFE5iGia6bRKPO1wNGo1G8Xq/j44tGoySTSbxe56+Pti/W3UiG4vG4437cbgNujVFurOOM2WOCC3HsMnIjlpOLPRt73DxeftHtZMh+s7VlWfj9/lQyJEkShmEQDAYpLCwkLy/PkayiKBQWFqYdw0aWZfx+/wkPsLtOsixTVFTk2CkUChEOhx2/3sI0TSRJcuxkxeO0BAKYWITDhXhOwevGG29k+/btfPzxx6xatYqrrroKy7IcO3m9XrxeL5IkUVhYSCgUSjuW3cm4UXeqqqIoCrm5uY7idHVymljl5uaiqioFBQWO4thebjjZg9aJ+oErr7ySKVOm8NJLL/HWW2/xm9/8hurqam644QZKSkpcdwqHw2ia5qgt2ZimSWFhoeOk0e/3o+u6K3XnhlNMjuPxePD5ZFf6X9M0CYfDjpPGQCCApmkEg0HHTpZlEQqFHDt1dHQQi8Uc9+Nuj1Fu1JuiKHi9XgKBgKM4Xq83lRM4RVVVVFV1/Mofe9xMx+moM8uyrKO+jvy+E9yI4XYst44tG52OrMNTIT8/n29+85sEAgFefvllampqHE9jHunh1vH1xrqzY7lBJsqptLSUH/7wh/z0pz+lvLycBQsWcMcdd/DBBx+cciy3nL7IWNnm5JZL13i9sZx6cxw3Y/U2J/E0meCEjBkzhiuuuIKDBw+yYMEC1ztUQe9n6tSpPPzww1x11VXU1tby4IMP8uKLLxKNRl25hSQQCAROEcmQ4KRceeWVVFRUsHTpUrZt25ZVT0kJegaFhYX84Ac/4Ic//CE5OTk8//zzPPDAA+zevdvx7SiBQCBwiuiFBCelX79+XHbZZbS2trJkyZLUAliB4FSQZZlLLrmE++67L7WX1UMPPcTbb7+daTWBQNDHEcmQoFvMmDGD4cOH8/777/Pxxx9nWkfQg6msrOSee+7hhhtuoLW1lSeeeIJnnnmG9vb2TKsJBII+ikiGBN2iuLiYq666ing8zptvvplpHUEPJy8vj5tvvplbbrmFcDjM/PnzefTRRzl48GCm1QQCQR9EJEOCbjN9+nTKyspYv369eLO9wDGWZTF9+nTuuecexo0bx8qVK7n33nvZvn17ptUEAkEfQyRDgm4TDoeZNm0aDQ0NvPfee+LJMoFjNE1j+PDh3HPPPcyaNYtt27Zx3333sXr16kyrCQSCPoRIhgSnxJQpUyguLmbZsmW0tLRkWkfQCzBNk1AoxG233cZXv/pVGhoaeOSRR1i4cGGm1QQCQR9BJEOCbmMYBpWVlYwZM4Z9+/aJq3eBq/h8Pr71rW/xwx/+EEVReOqpp/j9739PIpHItJpAIOjliGRIcErIssxFF12EZVmsXr1a3CoTuIokSVx88cXcddddlJaW8tJLL/HrX/8aTdMyrSYQCHoxIhkSnBKGYXDWWWcxePBgduzYQV1dXaaVBL2Q8ePHc9ddd1FRUcGCBQt46qmnXHm5s0AgEBwLkQwJTgl7fcfEiRPZt28fmzdvzrSSoJdSVVXFHXfcwfDhw1m0aJFIiAQCwWlDJEOCU8KyLCRJYvz48eTm5rJy5cpMKwl6MSNGjODOO++kqqqKt956i5/97Ge0tbVlWksgEPQyjkqGJEk66uvI7zvBjRhux3Lr2LLRqevn3ay7sWPH0q9fPzZv3syePXsy7tQb686O5QY9uZwGDx7MHXfcwdixY3nnnXd4/PHHj3qSMZv7FTdwuy9wg95aTr05jpuxepvTMWeGxKJYwcnw+/1MmjSJ1tZW1q1bl2kdQS+noqKC22+/nUmTJrF69WoeffRRGhsbM60lEAh6CZLVJfNpbGrl6af+H1u3bkVV1cOu3EzT5NChQxQVFeHxeNL+g6Zpkkwm8fl8juUTiQSKoqCqqqM4bjlJkkR9fT1+v5/8/HxHSaVlWWiahtfrdZQxe0yTKa3NeLFYXRAmoqqQppdlWSQSCXw+H4qisH//ftavX8+wYcMYOXJkt17gKkkSmqaxatUqACZNmkQgEEi7rLo6Ob2y0DQNSZIctW83nTweDx999BE1NTVceumlmKaZcSeAZDKZ8nNKPB7vtpOqqjQ2NrJmzRoSiQRnnnkmlZWVmKZJY2MjpmlSWFjo+GLuVJxOhK7rmKaJ1+t1FMcNJwlIKHns8Z6FkmxjiP6JY6dEIoHH40GWna22cLOc3HCSJImOjg5isRglJSWO2pOmaciynDVjlJtOyWSShoYGysrKssbJ7uf8fv8xf/7CCy8c97NH/GWL/Px8gsFg6sTrmgzFYjHC4TA+ny/tBmKaJolEgkAgkNbnbSRJIhaLoaqqKwUYj8ddcUokEuTk5BAMBh0nQ06dLMBrmvgSMTymQSgUwuvxkG4X39VJkiT8fj91dXU0Njbi8XgIhUInPWY7GbI7vnA4TE5OjqNkKB6P4/f7HQ1ekiQRj8eRZdmVZMgNJ1mWCQQCqKpKYWGho2QIIBaLuVJO9r4/bgxep+oUCoUYPnw469atY+vWrTQ2NnLhhRdSWFhIMpl0JRlyo5ygc7AwTdOVAcypk4RFTMplv+7Bq/gp9BZm3MlG13UMw3CtnHw+n+NkSFVVPB6P4/bk5gW7G+Omm06apqFpGoWFzttSIpFwte9Np5wOmxk6cLCeYEFeaqA7kn/84x9MnjzZsXB7ezv5+fmOYoB7JyNAW1sbBQUFjuOsX7+e/v37u5Itu+JkWXz69JNY8RjD/u0WcFjuRzrdfffdfPjhh/zqV79iyJAh3Yqh6zo33ngjkiTx7LPPEgwGXXVKF7c6CTednn76aebPn88//vGPrNaSF4YAACAASURBVHFyc2YoXacDBw5w3333sXv3bq677jq+9KUvYZomlZWVGXM6EsMw0HXdlUHeDaeGqMndz6+iJE/h3n+dkhVO0DnQa5p23Kv5U8GtseXQoUPs3buX8ePHO4qTjWNUPB7H6/U6ntFLJpOsWrWK6dOnO3ZKJBKoqoqiKI5jpVtOR5WGpmnE43Hi8Xhq+hI6B7BEIkE8HnckasdxA9vTKbaTG2ul3Cgj6OxI3XAy43EMw8AwDDSH5X4sp+HDh6Np2intRh3v4uS0LdhXTG7UnVvtyXbq7kzOpk2beO65545Zhl3PQSfY08duxHKrnJw49e/fn1tvvZXi4mJefvll/vCHP6SSNKckEolu3fI9GW6VE7jjZJe1G8dmx9N13XEct8spm5zcHqPcINuOzc1YTsaUU0oNg8GgK1l3b0ZVVVemMnsKo0ePRlXVU95vKDc3l9zcXFdutfRkVqxYwaOPPkpDQwO//OUveeWVVzKt1GMYMWIEt956K8FgkNWrV7Nhw4ZMK2U31ue3XgUnpqysjNGjR2daI6sJBAJMmDAh0xqu0a1kyLIsVFWlqqqKP/7xj9x1110sW7bsdLv1SIYOHUogEOCvf/1rn3iR6YgRIygqKqK2tpZDhw516zOJRIK9e/eyZs0aXnvtNVdmK3oiuq7z6quv8vWvf53bb7+dO++8kyVLloh9dE6BcePG8d3vfpf6+nruvfdefvnLX7o2Q9TbsCyLnJwcmptbePXVV7GsvnnenQxN01iwYAGPPfYYb7zxRp/tn07GgQMH+N3vfsd9993HJ584X5CfabqVDNmLXh955BG2bdvGxIkT+d3vfsff/va30+3X4ygsLOQvf/kLjz/+eJ/YLTcQCHDmmWfS0NDQrf2GkskkP//5z6mtraV///4sWbKEX/ziF32yw2ltbSWZTKbWuZxxxhkYhsH+/fszbNZzSCaTrF69mlGjRlFSUsLDDz/ME088kWmtrESSO9etvLPiHV5++S8ZtslODMPgiSeeYN26dUyYMIG//OUv/OlPf8q0VtZRX1/P7bffjmVZlJeXc++997J169ZMazmi2ytFP/74YyzL4rbbbiMejzN27FhxBXYMVq1aRXV1NVVVVX1igFcUhREjRrBkyRJqa2uZOHHiCX+/oaGB+vp6xo8fTzAY5MYbb+S5556jvb3d8ULqnoau63i93tRtC1mWkWWZSCSSYbOeQ319Pa2trfzqV79i0aJF/OpXv+LFF1/kuuuuY+jQoZnWyy4s2Fu3l2AwyIDAAEzTwoX1qr2Kbdu20djYyO23346u60yYMIFYLJZpraxj3759qKrKj3/8YwC2bNnC5s2bGTlyZIbN0qfba4Z27NjBgQMHePzxx/n+97/P008/TWlp6el063Hs27eP1157jRtvvJFwONwnkiHovL/u9/upqak56ULm/v3789hjjxEIBDBNk23btpGTk+PKkyQ9DVmW0XX9sIsKy7L6/DqqU6GsrIxHHnmEgoICrrnmGkaPHs2BAwd44YUXxJvuj2Djxo20trYybOhQVFVkQcdi165d1NTU8PTTT3Pbbbfx0EMP9bmLtO4wYsQIRo0axa233spdd92FLMucf/75mdZyxHGTIXuvBfvxu5aWFrZv3843vvENfv/731NQUMBvf/vbL0w029F1nfnz53Pddddx1llnAfSZAf6MM86gsLCQ7du3n3QAkiQJRVHwer1UV1fz+uuvc9NNN7ny+HFPw96Y074t1tzcjGma9O/fP8NmPQd7HzR7EX97ezsXXXQRK1eu5MUXX+wzFyQno3bPHla8u4JhQ4fh8Xpde4y5t9Hc3Mz27duZN28ezz33HMOHD+c3v/mNeCvDEbS1tVFTU5N6qOrAgQM0NDRkWssRx7xNpigK9fX1PP744xw6dIiKigoqKiqYMWMGw4cPB2DOnDm88sorqRd39jVM0+SZZ55h1apV+P1+Jk+ezPz589mxYwfPPvssq1atwrIs7rzzzl4/uA0cOJBwOExdXR1NTU2H7bFkGAZPP/00H374IbIsc++991JeXs7+/fvZsWMHv/71rx3v5dFTsdvNr371K7785S+zaNEixowZQ1FRUabVehxvvfUWv//97/nBD35AcXEx//f//l/++te/UlFRwZw5czKtl3H+8vKfWbrkLYqm9Ke9oZb4R4soLy/n5ptvdmW/qN6CqqqMGTMmdbtn9uzZPPvssySTSTFj24UlS5YwcOBA7rrrLgD+/Oc/88orr3D33Xdn2Cx9jrtmyN7JMRqNkkgkGDp0KOvXr09t6b9nzx4KCgr6ZCJko2kasVgMwzCorKzkySefJBqNEo1Gqa+v58ILL+wTWxF4PB4qKirYvXs31dXVR204mUgkiMViyLKMJEksX76cjz/+mGnTpvGlL30pQ9bZwQ033EAgEODvf/8748aN46tf/WqfPqfS4c033+Rvf/sb999/P8OGDQPg5ptv5mc/+xkvvPACZ555JuXl5Rm2zCz/cs21DBszhdc2a7SrSdR4JVOmTBGzQ0dQVVXFG2+8QWNjIyUlJdTW1lJQUODKRqy9iSNnXCVJcm3/qkxxzBo2DIPS0lKeffbZ1Pfi8TgLFy7kjjvuoKqqimXLlqUWT/VFZFnmtttu47bbbjvqZ5FIhFdffZXJkyeTm5ubAbsvnqFDh/L2229TXV3NtGnTUt9XFIXbb7899e/a2lr+4z/+A8Mw2LlzJw888AAjR47k+uuv7zO3FbsiyzLXXnst1157baZVeiQ1NTXcddddjB07lldffZVEIkFZWRlf+9rX2LVrFy+99BK//e1vufPOO/vkrVibocOGkVNcwQeN2/AaHeQkynrVHjFuMWbMGM444wzuv/9+xo4dy7Jly/i3f/s3x7s19zZmzpzJnXfeySOPPEJhYSErVqzg+9//fqa1HHHcGrYsK7X7rWVZ+P1+HnvsMSZOnEhLSwv/9V//ddInh/oira2tAFxzzTXk5eVl2OaLo7KyEl3Xqa6uPuH9ddM0mTdvHiUlJSSTSZLJJLqui85GkBaSJDFv3jyGDRtGR0cHiUSCZDKJJElcf/31jB49mvfee4/XXnst06oZR9d1knqS4pISLr/8crEO5hh4PB7uuecepk+fTnNzM//5n//Z52evj0VFRQWPP/44BQUFtLe3c/fddzN58uRMazmi23N/pmnS0NDAV7/61dPp0+PZv38//fr14+KLL860yhdKaWkp4XCYpqYmYrEYOTk5x/y9QYMG8dOf/pQ9e/Zgmib33ntvn5k9E7jPGWecwU9+8hOAo9Yv5uXlcdNNN3H33Xfz8ssvU1VVxdixYzOlmnkk0BIaJYX5zJolBvjj4fP5uPbaa0kmk2I91QkoKSnhm9/8Zq/Z0bzbmy7aj0GL3XFPTEtLS5/YefpIcnNz6devHwcPHjzp8UejUVpaWujo6BB76ghcYcuWLWzcuPGo75999tlcd911tLW18dvf/jY1c9sXkSSJZDJJe3t7plWynj179vDhhx9mWiOr6ejo4N133820hmuc0r0JewGs4PjYj/r2NfLy8igpKaGpqYmOjo6T/n5fLCPB6cPesPJY/Mu//AvTpk1j8+bNPP/88z1+oadTxLl3ciRJErfuT4K9TUpv4YT7DHUd2N06gbL5RMwmN7fL3U2O5eTxeOjXrx+RSOQL3W+ip5VTpsjGcvqinLxeL9/61reoqKhg4cKFrF69uttu2UQ2OmUjvbGceuMxnQ6clNMRa4Y6p1FN0zxs08WuO+Vqmpb6nXTQdR1N00gkEmlLw+fvS5NlGUVRHC0GNAwDTdOIx+OOClNRFDRNc1xGrjnJMpamdV4Jm2bnhojJJFaaXuZnMY7lpKoq4XAYVVXZtWsXkyZNOuYVuCzLaJqWamNOy+pETqeC7WLXoZP2ZFlWysnJ1aXX6009xGCapqPX37jlZJcTkDXl1J3z7owzzmDevHk88cQTvPTSS1RVVREKhY7ZRm0nJ1e9djnZ/Z3TxcpOnWRZSp13pgmJhAY4d9Ls/iVN7HKyv5yUkx0rHo87ehTe7qPsBzzS7ZvcHKPsduRWGUFnn51urK59t1tOpmni8XhcGcuPl1+c6InSw1qMJEEsFksd5JHJUCwWo6Oj4/9v795i5LjuM4F/p+rUrbtn+jocUUNR1Ei2LpQcy6ZN34BYQWIBCtaAFgEWSRZ5SfIQIA4WyMMi2OQhMPKwQBC/7FvekjzEkhFgAwcQ1rEsCXEkQUZoOtTNksyhRM1Q5HC6u/oy3XXdh2G1ZzgccqbO6enm9PcDBpRG7KOvT50659/VdYEQInfgKIrQ7Xa1XOba7XZHVyOpiKIIvV4PjuMoF0P9fh+9Xg+dTkd5oypnEgJJv7+1iIYher0ehq4L5Mx1u0ymaWJhYWFUDHU6nVtOIkIIdLtdRFEEIQR6vR663a5SMaRj2wFb40l10tqeybZtpUXecRwMh0MkSYJOp6M0ztM01ZIJwL6+Bj3MTKZpotfrIQzDPceSEAJnzpzB1772Nbz44ov4x3/8R/ze7/3eLQvMXq8Hy7KUvwLo9XqI41jL1y2qmYQAer3hjQ+1At2u+nlDvV4PUkrle/D0b8xROr5yyfZh1WKo1+uh3+8rz+O61ygdtx/pdruwLEv56+Jut4vNzU0t56B1u11IKZXvGJ+tUXv1076LoTRNUS6XR5fSZ8VQdkOlcrmMer2udMl4HMeQUmq5y65pmnBdV3mAxHEM0zTRaDSUM1WrVdRqNdRqNaV2kiSBYRjKmdJCAS3XRYoUtVoNlkKuO2V65JFHUCwWce3aNVSr1T3bcRwHtm1DCIFarXbbv3sn2RVEOrZdttioXt2WZarX68oFWqlUgpRS2/ORdGTKJhRdt47QkalWqyEIgjuOpT/4gz/Ae++9hx/96Ef4jd/4DTz88MO7/k6abu0rqkWM53mIogjz8/NK7ejKNDAGsG0bjmNomX/TNEW1WlUuYgqFAoIg0DbGK5WKlkJ2c3NTeR7XvUbp2G5Syh0PiM7LcZxRTaDKsixIKfe8Cnm/sjUqT6Zde1aaprt+bv69Ch1t6G5L13ubxkzbX69r2+3Vzj333INSqQTf92971c5hZsrTlq52dLWlwyz0037aue+++/Dss89iY2MDf//3f3/Lw+nT1k+62tJ9X6Gj2k9HuR2dbR21TDxdnrQxpURjYRH9wRDXm7N3ewG6Ozz99NP47Gc/i9deew3/+q//Ouk4RDQFWAyRNqZhYHlxHsfQRP/ym0Cc/4RfonGZn5/H7/zO78C2bTz33HNYXV2ddCQimjAWQ6RHmiI59138dvx/8b+W38XJV/4n4uf+EOnGyqSTEe1y5swZPP300/jwww/x/PPP89EURDOOxRBpkXzwMpIX/zfcuANppBBxgPTSa4j/37eBgHeZpumSPbvs/vvvx4svvoi33npr0pGIaIJYDJEW6ZvfB8IBDGkjTYE4SZFKF+nqeaSfvD3peES73HPPPfjN3/xNtNttfO9731O6jxMR3d1YDJEWafcqUmGMbmOfJMmN+xkJIOhPOh7RLX3jG9/AI488gtdffx0//elPJx2HiCaExRBpIe79DJDGO4qhNE0BaQOlY5OOR3RL5XIZzz77LKIowvPPP48wDPnoA6IZxGKItDA+/98hGg9BRAOYSGAiBqIBzCd/G2Jx943tiKbFr/3ar+Hxxx/H+fPn8corr8CyrElHIqJDxmKItBDz90D+1/8D88n/hmtGA//ZtDH4yv+A8eU/BMBP2jS9LMvCb/3Wb8EwDPzTP/0T1tfXj9TTuInozlgMkT61+yGf+Ta+J/8Lvv3uKVxceAqQ6s+gIxq3M2fO4Itf/CLeeust/Pu///uk4xDRIWMxRNrNVetIU+Da2seTjkK0L7Zt45vf/CZs28bLL78M3/cnHYmIDhGLIdJu8dgxCIHbPp+MaNo88cQT+MIXvoCf//znPDpENGNYDJF2lUoFAHD16tUJJyHaP9u28cwzz8C2bfzLv/wLgiCYdCQiOiQshki7arUKAOj1eOdpurucPXsWjz76KI8OEc0YFkOkXVYMNZvNCSchOhjTNPGNb3wDcRzjhRdewObm5qQjEdEhkDv/VaDT6SAIAriuCyklDMOAYRiIogi+76PZbCKO4607DOcQRRHa7TYMQ60OE0Kg2WzCcRwUCgWlBy1uz6RywzUpJdrtNhzHQavVyt1HABDHMVqtllomIZD0+xgMBsBwiFarBSklkDPXfjKZpokoihBFEVqtFq5evQrLskbbxzCM0RgTQqDVasFxHMRxnCtTkiRoNpvK204IgXa7DdM0EYah0nhK0xTNZnN0A8q8PM9Dv99HFEXodrtKX9voyiTE1hwBbO0309BPUkq0Wi0EQYB2u517LAFb7+/UqVN46KGH8Prrr+PHP/4xzp49e+BHdQgh0O12R3Ol6oNgW60WAOS+5N8QAq3WAEEYYDgU2NjYUMqTZUrTdGtOyUkIgX6/jyAIkKapcj81m00kSaKUyTRNNJtN+L6vNI+PY41SveVDNudaloXhcJg7UzYPZDWBynvL5l4p5Wgc5JWtUXv1U61W2/O1N42YFK7rwrKsWxZDnuehUCjA87zcYaMoQhiGKBaLudvIDIdDuK6rlOfmTKoLqo4+ArY2ahAEypkSIbaKkThCoVCApZBrv5kqlQqOHTuGKIpgGAYKhcKudqSUEEKgUCjAdd3cmZIkwXA4VO4nAAjDEKZp7sqbJ9NgMECxWFRa5A3DgG3boz9VbgaYpqmWTABGxYZqP+nKlI0jKaXSWMosLi7im9/8Jv7mb/4GP/jBD/DVr34Vtm0fuJ00TRFFkXI/AcDm5iaKxaLSYlgIDEhTQkqhZf7NMqkUHhkppdZ+Us1ULBa1rC3jWKNUBUEA27aV+zuO49F6pyoMQy1jYPsadVC7Roxt20jTdEcxJISAlBK2bcN1XThO/nvHZBOWShsZ13W1tCWlhOM4WiZSx3FGPyqSJNGSKU1TmKaJ1DThOA4shVz7zVQoFFAqlTAcDhFF0a6+yIokIYRyX6Vpqm3bua4L80Y/qdieSbVAy/bBPIvxzXRlyo6S6NiHdWVyHGc0nlSZpomvf/3r+P73v4933nkH77//Pp544okDtxPH8S3Hfx5ZP6kUjY6TwjAMmKahNZPq0YokSWAYejJla4JqJl3zuO41Slcf2bat3FYYhlrayTJl71FFtkblaWfXnpUdqtz+c/PvVehoQ3dbut7bNGba/npd2+5O7di2jWq1in6/f8uTqCeR6SBt6WpH1zjX4aj3k87+TpIEhUIBv/7rvw7f9/HKK6/kanva5jrd43Eat920ZZq2dnS2ddQy8QRq0s62bVQqFfT7ffT7fGI93Z3Onj2LpaUlvPzyy7h27dqk4xDRGLEYIu1M00SxWNzzyBDRtIvjGEtLS/jc5z6H9fV1vPzyy5OORERjxGKIxqJeryMIAh4Zorva008/Ddu28eMf/5iFPdERxmKIxsLzPEgptVzCSzQpDz30ED772c/i7bffxoULFyYdh4jGhMUQjUWlUoFt23zgJd3VHMfBr/7qryJJEvzgBz+YdBwiGhMWQzQWlmWNbl5GdDf72te+hhMnTuDcuXO4ePHipOMQ0RiwGKKxqNfrcBwHURRNOgqRkrm5OXz961/HxsYGT6QmOqJYDNFYCCEghMD6+rrS4xGIpsFXv/pV1Go1vP7666PHkRDR0cFiiMaiWq3Ctm0eGaIj4dSpUzh9+jTee+89vPvuu5OOQ0SasRiiscjOGdrY2FB6YC3RNJBS4ktf+hIA4KWXXppwGiLSjcUQjUWpVIJlWRgMBpOOQqTFF7/4RdTrdVy4cIF3pCY6YlgM0VgUCgWYpok4jtFqtSYdh0hZvV7H2bNn8dFHH+H8+fOTjkNEGrEYorEpFotIkoR3oaYjQQiBs2fPwrIs/Nu//Ru//iU6QlgM0djUajUkSYLhcDjpKERaPPnkk7j//vtx/vx5rK6uTjoOEWkid/6rQBRFSJIEhmEgTVMYhgHDMBBFEaIoQhiGiKIIaZrm+h9mbYRhqBw+DEOYpgkp5Z3/8j4zCSFyt2MYxqgdlT4Cth4UqZxJCCRhuHVpe5JstRVFQM5cB8mU/fcgCHD16lU8+OCDSJIEQgiEYbjjn1X6KrnxvlS3HYBRLtWxuT2TYeT/vCGlRBzHSNMUaZoqXZmXpqmWTABG/aPaT7oy6dzvAIzautWRH8/z8OSTT+K73/0uXnrpJfzu7/7untsly6Nrrtsr034IcWN8pwmSRH3bbc+kq7+nJdP2eUl1PI1jjVKVzZWqbenebtl8oGL7GnUrlmXt+dodW0gIoN/vIwgCOI4DKeWOYqjX640er5B3p4yiCL7v3zbUfggh4Ps+giBQHvxxHKPT6cCyLKUF1TRN9Ho9dLtd+L6vdBhdSyYhkG5ubg2MMES324HpOEDOXEmS7DuTYRgolUoIwxC+78P3fcRxDMMw0Ol0Rjtkp9OB53m5++ogmW4nG0+maSJJEqXxlKYpOp3OaP/Jy3EcDAaD0T6jMlHoypRts6zNaegn0zTR7XYRBIHyfgcAnU4HpmnCNM1d/01KiSeeeALPP/88XnvtNTz11FNwXXdXPwgh0Ov1EEURhBDKBcPtMu2HIQS6nSGiMEIQAO12WymPjkzAVj9la072AVyF7/sQQigVH9kcla13+QtQfWtUFEXodDqwbTt3G9szZbc9yZspmwf6/T5831cuPn3f3/HhL69s3dyrnxqNxp6v3TFi0jRFuVxGmqZwXXc0SQkhEMcxKpUKGo0GSqWSUljLslCv13O3kTFNE67rwnVdpXbiOIZpmrftqP2qVquo1Wqo1WpK7SRJoiVTOhig5bpIkaJWq8NSyJUdMdxvpmq1Oho71Wp19HvHceA4DoQQqNfrSn2VHb3Use2y2wEUi0WldtI0Hb031aNVxWIRlmWhXC4rtQNAWybHcQBAaR7QnalWqyEIAuX9bnt7exVov/Irv4LTp09jZWUFg8EAS0tLt/x7nuchiiLMz8+PPdN+DMwBbNuG6+rZX4CtfVylGAK2LrYIgkDbGK9UKsqZ+v0+BoOB8njSuUZJKbVsNyklbNuG53lK7TiOg0qlomUttywLUkoUCgWldlTWzV17VvZpb/vPzb9XoaMN3W3pem/TmGn763Vtu/22U61Wb/n1ziQz7actXe3oGuc6HPV+Osx5pVQq4fHHH0en07ntVWXTNtfpHo9347ab9XZ0tnXUMvEEahob13URhiGuX78+6ShEWp05cwaFQgGvvvrqVBW9RJQPiyEam2q1quWEZKJp89hjj+HYsWO4dOkSPvroo0nHISJFLIZobLJzSvr9Pj8905Hiui7OnDmD69ev42c/+9mk4xCRIhZDNDbZVR29Xo83qKMj58knn4RhGDh37hyPfhLd5VgM0dgUi0XMz8/zqBAdSQ8//DBOnjyJn/70p2g2m5OOQ0QKWAzRWGX3WwmCYNJRiLSq1+v49Kc/jXa7za/KiO5yLIZobIQQMAwD/X6fXyPQkfSlL30JaZritddem3QUIlLAYojGplgsYm5ubtIxiMbmscceQ7VaxcWLF7G+vj7pOESUE4shGhvDMGBZ1uiREkRHTblcxunTp3H58mWsrKxMOg4R5cRiiMYqe+4Mn1xPR5Ft23jssccwHA7x9ttvTzoOEeXEYojGplgsolQqKT93imiaPfbYY6hUKjh37hxvIUF0l8r/aF+iOzBNE7ZtIwgCxHE86ThTqd/v4x/+4R/w6quvYnl5Gb//+7+Pe++9d9Kx6AA+/elPo16v49KlS1hbW9vzwa1ENL14ZIjGSgiBdruNwWAw6ShTJ45jfOc738EvfvEL/PEf/zE8z8O3v/1t9Pv9SUejA3AcB6dPn0a328WFCxcmHYeIcmAxRGNjWRaKxSLSNOVXZbcwGAzgui6+9a1v4fOf/zz+6I/+CK1WC1evXp10NDqgz33ucxgOh3jnnXd4k1Giu9Cur8mEEKP7w2Q/wNaVQdnvVWxvU5WutrJ2dCzYOvpIZ6ZRGxq33X4zCSHgOA7SNN1xn6GsDZ3jSce20z2e7tRWsVjEn/7pn47+/Y033oDrulhYWBj9TlcRuX2fVqVr/9WdSVdf5cn00EMPYXFxEe+88w663S7m5uambq7bvt9NSyad7ehsa1rnFB2mrY+ytibdTzuKIcMw8Pbbb6PVasF1XZimOXrDcRzjzTffRJIkKJVKuU8UjOMYnU4HlUol1+sz2dcvruuOFty8kiSB7/vKmaSU+NnPfobLly9jbW1N6WTKLFO5XM4/4ISAGA4RXbkCIwxw/Sc/QVouAzlzHTSTbdu4ePEifN/Hj370I3Q6HSRJgl6vh/X1dQgh8MYbb6Ber+c+pyhNU7TbbbV+wtZ46na7MAwDhUJBaTzdKlOhUMAjjzwCx3F2/N1er4disYg33ngDf/u3f4s/+ZM/wXA4xIULF+A4DlZWVtDpdPCTn/xE6caVOvup1+sBwOion4pWq4X5+XmliVBKiQ8++ABhGGJzc1P5/LSDZjIMA0EQwLIs/Md//AdeeOEFPPDAA+h0OoiiCHNzcxPvJ0MIXOslaLaaiHsxXn31VaU8Waa5uTmYppm7DSEEBoMBgiBQfnSPEALNZlM5k2maWF1dxbVr1wAg9zyeXUlr2zZc11V6bzrXTR2ZsnngwoULyvOAEAKdTgdSSnieN9a1/Mtf/vKer91RDKVpikajgWKxCNd1IaUcVVpRFOHjjz/G0tLS6GnkeURRBN/3UavVcreRKZVKcF0XrusqtRNFEUqlEmq1mnKlu7a2hoWFBeWTKOM4RqvVUs6UDga4XioBwwGqx4/DqFaRt7WDZhJC4MSJE/A8D41GA8ePHwewVQAUCgUIIXD8+HE0Go2cibYGf7FY1LLtfN+HaZooFotK7WSZqtUqDMNAmqZwHAdSG0oRegAAEtZJREFUSvzlX/4l/vmf/xmFQgHf+c53cObMGbzwwgv4u7/7O3zrW9/C2bNn0el0sLS0BCEEyuUyHMfB8ePHlQu07ZlUdLtdAFCaB7JMhUJBS6Zer4cwDLWcfF4oFFCpVA60oAoh8IUvfAErKytYX1/HV77yFczPzyOKIszPz08k081MP4Dr9FB0U9x3331aMpXLZUipdh3O5uYmgiBAuVzWkml+fl45E7BV5KrO4+12G7Ztw/M8pXaiKEK73Ua9XldqR2embreLq1ev4sSJE8qZfN+HlBKFQkGpnWyNytNPu4qhY8eOAcCoGMoWmDRNcenSJZw8eVIpcJqmaLVaqFarudvIzM/Pw3Vd2Lat1E6apmg2m1oKtCtXrmBxcVHLAJmbm1PPFAQYlkpIpYkTJ07AVOz3g2a6//77USgUdvTJ5ubmqBi67777lHfwrJBV1e12YZqm8iRxu0yf+cxnEMcxbNvGwsICfvjDH+K5557DX/3VX+GBBx4AsNXH2Z27a7UaHMfRcoVSVjSqyk7wVp24AH2ZsgVVx35XKBRyZXrqqafwwgsvjK4oy242qlo0qmTaTvoBPG8VpaKhrZ+q1aryh5DhcIggCLTcrb5YLKJSqWg7vUC1n6ZxjSqXy7Bte9dR6oPq9/tYW1vTMpa63S6klMoHNoD86+au8jlJEqRpijiOd3ynH8fx6EeFjjZ0t5W1o+NE32nLlNxoI9um+T9X5suU/f3V1dVdv8v+WUWSJFq3nQ5ZpiRJdh3xePbZZ/Hss88CAJrNJv78z/8cjuPgr//6r0efjv/sz/5sVCBm+6OqbPvfKtNB6eon3Zl0zysHPQpz6tQpzM/P46OPPkKr1YLjOBPPdHMb2VygM5PqUZhxbLtpyTRt7ehsS3cmHecfqWTifYZorLKbLvI+Q7tZloW/+Iu/GJ1bIoSA53lajrjQ4SsUCnj44Ydx7tw5rKys4PTp0wiCYNKxiGgfWAzRWFUqFa1XHRwlpVIJzzzzzKRjkCZSSjz66KN46aWX8Itf/AKnT5+edCQi2ifeZ4jGKjskf+XKlQknIRq/5eVllEolvPvuu9jc3OSHAKK7BIshGivP8yCE4NcFNBNOnTqFRqOBt956C/1+X9u9YYhovLin0ljVajWYpslPyDQTFhcXcc8992BjYwOXL1/muCe6S7AYokPBp3nTrHj00UcRhiHefPNNpau/iOjwsBiiQ5HdzZXoqHv88ccRRRHee+89fgggukuwGKKxyk6gjqJowkmIDseJEyfQaDTw8ccfY2NjY9JxiGgfWAzRWNVqNZ5ESjOlWq1ieXkZq6urWF9fn3QcItoHrlI0VtljN4hmheu6WF5eRq/Xw6VLlyYdh4j2gcUQjdX2r8l4F2qaFcvLy/A8Dz//+c8nHYWI9oHFEB2K4XCITqcz6RhEh2J5eRmu6+L999+fdBQi2gcWQzRWQgjlpyMT3W1OnDiBcrmMjY0NXklJdBdgMURjJaVErVbjJcY0U2zbxoMPPohut4uVlZVJxyGiO9j1oNY4jpEkCcIwBAAYhgHDMEbnfGR/ZueCHFQURaMfVbra2t6Oysm+WT+p9hGAUV8rZRICSRQhSRKkSYIoimDEMZAz10EzCSFG2yZN09HYim5kyv67Sl9l7aluO2BrHKRpqjyetmdSuZJOSjnqm6z/8srel2om4Je3SVDtJ12ZdO53wC/nA5V2TNPE8vIyfvjDH+LixYs4c+aM0vZTzSTEVhtJmiBJ9NzqYtrmcV2Zts9LquNpHGuUqmx/m7ZM2//Ma/sadStS7v1s+h3/RQiBbreLIAjgui5M09xRDHW7XbTbbSRJkvuTfhRF8H1f+c6sQgi0220MBgMMh0PlwiPLpLKgSinR6XTgeR5arZbS0RAtmQwDab+P4XAIEYbwfR/SspDmzJUkyYEyGYaB/o3/v+/7WFlZgWmaaLfbCMMQQgj4vg/XdXMvFEmSoN1uK2+7LItpmsoLYZqmaLfbo30nL9d1MRgMRvuMyvPddGXK5ggAyguFrkxSSvi+jzAM0W63lU/U930fQgilOcq2bdTrdSRJgnfeeQfXr18HgNz9pZrJMAR8f4gojBAEQLPZAqBWNOroJyEE+v3+6MO3ynjK1oQ0TW+76N1JNkd1Oh2leVznGpXNAZZlaekjy7IQBIFCcb01D/R6PbRaLeVMvu9DSokwDLWs5Xtt/4WFhT1fu+MVaZqiXC4D2JqIpZQwDANCCMRxjHK5jEajgVKppBQ2myhUSSnhui5c11VqJ45jmKZ5247ar2q1ilqtpvz+kiTRkiktFtH2PKRi654/tkKuJElgGMaBMhWLRXieh83NTZTLZVQqFViWBcdxIIRArVZDrVbLnSlN0wNn2otlWTBNU2l8Axgd9Wo0GspHq4rFIizLGu2XKnRlyvY31X7SmalWqyEIAqWxtF29Xlc+gvapT30Ki4uLuHbtGjzPQ7FYnGimgbEJ27bhugYWFhpKWTLZswdVZMWQrjFeqVSUM/V6PQwGA+V53DRNeJ6nZY2SUqLRUN9ulmXBtm14nqfUjuu6o5pAlW3bME1TeR9RWTdvuWdlh+Wzn+x32//Ma3ubqnS1peu96aSzv3XJk8k0TVSr1R2vmXSmwzJNmXT201He7zI6Mi0sLKDRaODDDz/UciXlUe0n3e1MWz/p3Fd00L3/6jAN44gnUNNYGYYBz/OQpilvvkgzZW5uDouLi+j3+/jwww8nHYeIboPFEB2KKIqwubk56RhEh+rBBx+EEII3XySaciyG6FDwpos0a5Ikwac+9SkAwAcffDDhNER0OyyGaOz4oFaaRUmS4N5778X8/DyuXLkyugqPiKYPVykaK9M0cezYMd50kWZSoVDAqVOnsL6+jitXrkw6DhHtgcUQjR1PnKZZlCQJCoUCTp48ievXr+OTTz6ZdCQi2gOLIRo7IQTPGaKZ5DgOlpaWEMcxVldXJx2HiPbAYojGLnuUxHA4nHQUokOVnTdUKpVw6dKlqbsHDhFtYTFEY1epVHifIZpJcRxjaWkJpVIJFy9eVH5UCBGNB4shGrtischiiGZSkiQ4fvw4SqUSrygjmmIshmjsskKIX5PRLLIsC8ePH0cQBPjoo48mHYeIboHFEB0KIQTW19dH/0w0C7JzhB544AEMh0M+loNoSrEYorGTUsIwDBZBNLOWl5cRBAEuX7486ShEdAsshmjs5ufn4bour6ShmXX8+HE4joO1tTVEUTTpOER0k13FkBBi18/Nv1ehow3dbel6b9OYafvrdW27g7ZjmuausTTpTLdrS1c703Qk7Kj30zTPK8DWFZWLi4tYW1vLdRK17rlAh1nZdkepHZ1tHbVM8qam0O12EYYhHMcZfb1hGAaiKEKn00Gr1UKSJLkfrxBFEdrtNkzTzPX6UVIh0Gq14LouPM9TOuoQx/Eok8oGkVLC9324rgvf95UeQaElk2Eg7fe3TlwOArTbbVi2jTTn5b1Jkhw4k23b8H1/tN07nQ46nQ7CMIQQAu12G67r5r7kOEkStFot5W0nhIDv+zBNE1EUKY2nNE3RarVG+05enudhc3MTURRhc3NT6QR0XZmEEKObZ8ZxPBX9JKVEu91GGIbodDrKl6+3220IIZTmKCEEer0e4jgejctyuYz3338fly9fhpTyQEeIVDOZhkC7PUAYhQgCgVarDUDtSK2ufur3+wiCAACUxlO2JqRpCinlnV+wB9M00Wq10Ol0lObxbH4bDAbKa1Q2f1qWpaWPbNtGEAS528rmgU6ng3a7rZwpe29hGGpZy/fa/pVKZc/X3vSKXw4i27Z3FEOGYUBKCcuylAaaYRiwLAu2beduI2NZ1uhHRRRFo0yqC2qWR6WPgK2NqiNTYlkwTRPpjX63TBPIOXnlyZT1iWmao8nTsqzROURZX+WdUJMkgW3byv0EYJRDdTxtz6T6kFrTNEd9pbLPpGmqLVPWP6r9pCtTNo6yRVD1g1Y2xnW0kxUL8/PzOH78OM6fP49ms4kHH3zwQO9ZRybLimEIA4YhYNtq2y7LpGOuy7ad6njK2srWrryyfU1KqfzesjVT9b1l66auPtLRVrbtdWXS0db2Neqgdm3p7NwO13V3nPgaxzE8z0OxWEShUFAKG4ahUhuZIAjgui5c11VqJ45jBEGAYrGonMnzPBQKBeX3lyQJhsOhcqb0RhGbSolCoQBLIVfeTJ7nwTRNSClRLBZhGMboSE6hUIDnebkzpWmKwWCgZdtFUQTTNJW33fZMqgWa4zgwDEN5jAPA5uamlkzZJ2Ud+7CuTIVCAVJKpbG0va1snKqKomjUT8vLy7BtG5988smBc+rIVAiMG/uhoWXbZZl0HOW3LEtLpmKxqCVTNi+pZtK9RunoozAMYdu28r6SJImWPgK29hN5Y41SzTQcDnO1s2vPStN018/Nv1ehow3dbel6b9OYafvrdW27g7az/Xvcm18/qUy3a0tXO7ra0mEW+mla55XMfffdB8uysLKyMpFMui9gmKVtd1Ta0dnWUcvEq8lo7MrlMq8mo5m3tLQEKSUvryeaQiyGaOyy816IZlmj0YDnefB9f3QSOhFNB65QdGim6VJzosNm2zbuvfdedLtdXL16ddJxiGgbFkN0KLJL17dfakw0SyzLwtLSErrdLq5duzbpOES0DYshOhTZfSlU7wFDdLcSQmBpaQm9Xo9HhoimDIshOjQ8IkSzbnFxEYZh4JNPPpl0FCLahsUQjV12vyqiWVev11EqlbC2tsajpERThCsUjR0f1Eq0pV6vo1wuY3V1VenxKkSkF4shGrtpe2gp0aQ0Gg3Mzc1hbW0Ng8Fg0nGI6AYWQ3RoWBDRrPM8D5VKBcPhkOcNEU0RFkN0KIQQuH79+oGe1E10FC0tLSFJEnz88ceTjkJEN7AYokMhhMBwOOR5QzTzTpw4wWKIaMqwGKKxywogfk1GtFUMxXGM1dXVSUchohtYDNHYFYtF2LbNo0JEAI4dOwbXddFsNhGG4aTjEBEAefMv4jhGmqaIoghCCKRpijRNEccxkiQZ/Zl3YYvjePSjSldb29tROXohhBi1o9JH2jIJgeRGFtzYhvGNfz7MTFJKSClH4wf45dEi1b7K2tTxmI8sm+p42p5JZQyYprmjb1RyZfuwaqbtOVT7SVcmnfsdAC1zyvZ2trclhIDjOFhYWMD169exsbGBhYWFO2ZWzSTEL+f2rN9V6dzvdPe5jnk8SRKt87iKaV83dWTK+n2cmUzT3PO1O4ohIQS63S6CIIDjOKOb5RmGgSiK4Ps+ms3maKDkEUUR2u228k34hBBoNptwXReDwUB5wLZaLRiGobQTSSnh+/7oU1/ePtKWSQikm5sYDocQQYB2uwVTSiBnriRJcmWSUmIwGCAMQzSbTUgpEQQBhBBotVpwHCf3TpA3082yZ6eZpokwDJXGU5qmaLVaEEIojXPXddHv90f7TBAEE8+UPVYF2NqXp6GfpJSj/mm1WsoTaqvVAnD7ifNOhBDo9Xq7CjTDMBAEAebn53Hx4kVcunQJtm3f8cIC1UyGEGi3hgjDEMMhsLGxkasdnZmArX7q9/sIgmBUqKnI5l0pd33O3zfTNNFqtUbrXd55fPv8prpGZXOASl9vz2TbttI5nNk80Ol00Gw2lT/MtNttWJY1Ggd5ZevmXv20sLCw52t3jJg0TVGplJEkKRzHgWVZO4qhSqUyuk9GXlEUwbIsNBqN3G1kTNOE67rwPE+pnSiKYJomGo2G8qecarWKWq2Ger2u1E4cx1oyJZubaHseUgHUanXYCrniOIZhGLkyeZ4H27ZRqVTgui4cx4EQAvV6HbVaLXemJElyZ7qZZVkwTROlUkmpnSRJRu9NtegvlUqwLAvlclmpnTRNtWVyHAcAlOYB3ZlqtRqCIFAaSze3p7rweJ6HKIp2bbtarYaTJ0/irbfegmVZqFarh5JpYG7Ctm24rnHbReEgqtWqUuEBYFQMVSoV5TxCCFQqFeVMvV4Pg8FAeR7XuUZJKbVsNyklbNtGoVBQasdxnFFNoMqyLEgpUSwWldrJ1s08/cRzhujQxHGMa9eu8URqmmlZARhFEa5fvz7pOESEW5wzBAgIwbsG03iofHVIdFTU63XYto0rV65MOgoR4RbFUFYAsRAinXglGdEvLSwswHEc3oWaaErsKoYMwxh9l0+ki+p370RHSaPRgG3bLIaIpsSOc4ZSAKZpwDTN0ddkLIpIh0KhwLFEdEN2ZOjatWt8RA3RFBApv78gIiKiGcaryYiIiGimsRgiIiKimcZiiIiIiGYaiyEiIiKaaSyGiIiIaKaxGCIiIqKZxmKIiIiIZhqLISIiIpppLIaIiIhoprEYIiIiopnGYoiIiIhmGoshIiIimmkshoiIiGimsRgiIiKimcZiiIiIiGYaiyEiIiKaaSyGiIiIaKaxGCIiIqKZ9v8BPZPnkQBNcLMAAAAASUVORK5CYII=)
From the graph we can analyze that the vertical asymptote of the rational function is x= -3 and x = -4. and horizontal asymptote is
y = (leading coefficient of numerator) / (leading coefficient of denominator) =
=2
Related Questions to study
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![y equals negative 5 x space straight & space 25 x plus 5 y equals 1](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![y equals negative 5 x space straight & space 25 x plus 5 y equals 1](data:image/png;base64,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)
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. 93,86,79,72,66,...
Tell whether the given sequence is an arithmetic sequence. 93,86,79,72,66,...
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![y equals 2 x plus 6 space straight & space y equals 1 half x plus 3](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![y equals 2 x plus 6 space straight & space y equals 1 half x plus 3](data:image/png;base64,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)
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. 37,3,31,29,26,23,...
Tell whether the given sequence is an arithmetic sequence. 37,3,31,29,26,23,...
Maths-General
Maths-
What are the horizontal asymptotes for the graph
![f left parenthesis x right parenthesis equals fraction numerator 3 x minus 2 over denominator x squared plus 7 x plus 12 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJQAAAAmCAYAAAAiPrKqAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAA51JREFUeNrtWz1oFEEUHiSEQ4IgIkFEhCASUoQDCxERCYhIsAgHKcRCRJAgQdJZiYVNSBFE7FJYpAiIBAlBAhJCCCEIEoJYBBsrERuLK8JxBM73yDtY1529md2Z2ZnM++Djkt3Z5d28dzPvZ54QDFWMAT8CD4At4HfgK+CZiuW6DnwPbALbwD3gfVaX/9gANoD9iWt14FrFcm0C7wEH6P8R4DZdYwSIpocyXQR+ZdWEhyHgfsb1R8DZjOsv6Z4LtFg94WAQ+JD8qHHJmF0a1wWOf+NIvmu07TE8RyfFmZyxd4Dz9Pct4LojGWvAz+SsMwLBaeAEKe5mzrhPdH9PIRrsKFBFrg/A26yiMDFARiXDDIXyo478OTSmS6yWsCFzfrv5oXkHIfwwcAF4MrTJeyKJXvIwS88dR4ySY561WqyQgnEV+yLsJUDR8X8H7PN5ok6kIpTu5O0UfN+2o2XfJjCBOEmKw/nBzPkP4IPUuLPiKKOeNKC7wEVLcq3SCuUtMDr5Q/yWsHw0inrBd14BbgVuUDdIeS3iBhlKEphFXwaez3h+iebWduSp48RbBxrPz4ThjNBn3UBeY4sMixERGvRLSmMOOF3y3U8L+F+MwPEC+Czj+hot+WnolBgwe7vOUxwPllP7bzLUbYp/q+xJqJYY+oW8kGoiqcfwEFjovJBx/bCHE69aYmjzFMcDDIUPJPcOezyrWmKwYVAdphf8D1cpFM5C3paHUCkx8JYXGdBnepuzAsmq16olBnbKI8Nr4GPJPVnaQKfEME3vYUQU5ckOi2UlNnVLDJzYjAxYaqnl3N9J+Ei6JQYfSy9d36xNPxY+9mEQuNr86jHmuBaHMbrF0xC7bAZmgL1lmH9SKYtMCf3yyVyOb+YT+FC/IeB21Ih8DjCHtsmmwDCBc7QlD1n003zNrV0GPhdHCekscFdygQldJaNyCTyot+DB918kd0Rm3NyVrLkyYdrjVMGVpygGKeKtWVoRbT8XXVey6pEaNKZhx4pDYCK4XkLuqg0qygBG5UhNGZ+mqOKmyGcpI3fVBhVlV7Ltrt0iisOtAnv4+izKbdugou5K1unaLRutqSgEHdwxw3KbOqXBXckKsNm1q7sSTJLPZltuWytU9F3Jtrt2dRSHpZ19odaCVlZuGwYVbFeyKbjo2tVR3IRQy8KbkNu0QQXRlWwTrrp2dRS3RNGaC7lNG5T3Xck2UUXXrgp+k0Pro9y9nHhtZ/8vCQWKffz/6YoAAAEddEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPmY8L21pPjxtbz4oPC9tbz48bWk+eDwvbWk+PG1vPik8L21vPjxtbz49PC9tbz48bWZyYWM+PG1yb3c+PG1uPjM8L21uPjxtaT54PC9taT48bW8+JiN4MjIxMjs8L21vPjxtbj4yPC9tbj48L21yb3c+PG1yb3c+PG1zdXA+PG1pPng8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPis8L21vPjxtbj43PC9tbj48bWk+eDwvbWk+PG1vPis8L21vPjxtbj4xMjwvbW4+PC9tcm93PjwvbWZyYWM+PC9tYXRoPlALcmEAAAAASUVORK5CYII=)
What are the horizontal asymptotes for the graph
![f left parenthesis x right parenthesis equals fraction numerator 3 x minus 2 over denominator x squared plus 7 x plus 12 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. 3,6,9,15,18,...
Tell whether the given sequence is an arithmetic sequence. 3,6,9,15,18,...
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. 3,6,9,12,15,18,...
Tell whether the given sequence is an arithmetic sequence. 3,6,9,12,15,18,...
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. 1,-2,3,-4,5,...
Tell whether the given sequence is an arithmetic sequence. 1,-2,3,-4,5,...
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. 77,64,51,38,25,...
Tell whether the given sequence is an arithmetic sequence. 77,64,51,38,25,...
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. 1,15,29,43,57,....
Tell whether the given sequence is an arithmetic sequence. 1,15,29,43,57,....
Maths-General
Maths-
Write a recursive formula for the given sequence. 47, 39, 31, 23, 15, ....
Write a recursive formula for the given sequence. 47, 39, 31, 23, 15, ....
Maths-General
Maths-
Write a recursive formula for the given sequence. 81,85,89,93,97,....
Write a recursive formula for the given sequence. 81,85,89,93,97,....
Maths-General
Maths-
Write a recursive formula for the given sequence. 81,85,89,93,97,....
Write a recursive formula for the given sequence. 81,85,89,93,97,....
Maths-General
Maths-
How do you find vertical and horizontal asymptotes of a rational function?
What are the vertical asymptotes for the graph of ![f left parenthesis x right parenthesis equals fraction numerator 3 x minus 2 over denominator x squared plus 7 x plus 12 end fraction](data:image/png;base64,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)
How do you find vertical and horizontal asymptotes of a rational function?
What are the vertical asymptotes for the graph of ![f left parenthesis x right parenthesis equals fraction numerator 3 x minus 2 over denominator x squared plus 7 x plus 12 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. 15,13,11,9,....
Tell whether the given sequence is an arithmetic sequence. 15,13,11,9,....
Maths-General