{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[Table of Contents](./table_of_contents.ipynb)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Ensemble Kalman Filters"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#format the book\n",
"import book_format\n",
"book_format.set_style()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> I am not well versed with Ensemble filters. I have implemented one for this book, and made it work, but I have not used one in real life. Different sources use slightly different forms of these equations. If I implement the equations given in the sources the filter does not work. It is possible that I am doing something wrong. However, in various places on the web I have seen comments by people stating that they do the kinds of things I have done in my filter to make it work. In short, I do not understand this topic well, but choose to present my lack of knowledge rather than to gloss over the subject. I hope to master this topic in the future and to author a more definitive chapter. At the end of the chapter I document my current confusion and questions. In any case if I got confused by the sources perhaps you also will, so documenting my confusion can help you avoid the same.\n",
"\n",
"\n",
"The ensemble Kalman filter (EnKF) is very similar to the unscented Kalman filter (UKF) of the last chapter. If you recall, the UKF uses a set of deterministically chosen weighted sigma points passed through nonlinear state and measurement functions. After the sigma points are passed through the function, we find the mean and covariance of the points and use this as the filter's new mean and covariance. It is only an approximation of the true value, and thus suboptimal, but in practice the filter is highly accurate. It has the advantage of often producing more accurate estimates than the EKF does, and also does not require you to analytically derive the linearization of the state and measurement equations. \n",
"\n",
"The ensemble Kalman filter works in a similar way, except it uses a *Monte Carlo* method to choose a large numbers of sigma points. It came about from the geophysical sciences as an answer for the very large states and systems needed to model things such as the ocean and atmosphere. There is an interesting article on it's development in weather modeling in *SIAM News* [1]. The filter starts by randomly generating a large number of points distributed about the filter's initial state. This distribution is proportional to the filter's covariance $\\mathbf{P}$. In other words 68% of the points will be within one standard deviation of the mean, 95% percent within two standard deviations, and so on. Let's look at this in two dimensions. We will use `numpy.random.multivariate_normal()` function to randomly create points from a multivariate normal distribution drawn from the mean (5, 3) with the covariance\n",
"\n",
"$$\\begin{bmatrix}\n",
"32 & 15 \\\\ 15 & 40\n",
"\\end{bmatrix}$$\n",
"\n",
"I've drawn the covariance ellipse representing two standard deviations to illustrate how the points are distributed."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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AllJZVEXm5ZMLvHxigfs39lwUXL56uoITSMkM9QW12a/U0iz2c0fn0WT5HW3rwv03dZWhfLL4VVOlS+bYR1HMmdkah8fLHDpT5uDpOfYen6Pe7uB5AUEQ0nRcnPPy4FO6Sk/OpJQz6clZeDEYqRS9vXlsWcNHppVLMZRP8UcvnWG0aF1Uw/5ywftKte/PvxkQAb8gCDcKEdwLgiDcwJZSWQ5O1QnCGKR4xYC7ZvssVn18xxVuLpc+s+rC2AuC3PO3lUtpaIrEJ+5a093WfK3NM3tP8fW9J/nOkWmOTJSXBe5XouMFTJabTJabK76eSumcHipRHl+Dkc+x5aEtFx3bao2rLnVOLvcZQRCE60EE94IgCDewpTzwpGKLRFpXVwy4C5bGYp+jK055udx3nl9C8qL0mnyKXEqjbvuXnA1faVuyHPN/PbGHFw+c4cDxaY5PlK9on1K6StbSyZjn/pdO6QRhxELDZqHhsFC3cf2LG251Oh5HT81w9NQMAF99ei/ftXsLD949xm0jPQCUWy4TFZu2F5DWVUZK1mXPydtaQyAIgnCNieBeEAThBraU+qEqSbH1LYPZFYP3e9eXeOWVGMcLuzn37/Q7zy9Ref4s9XyjQxBG3DGcx9QV5psdbhvIAhcHubvHSnzz0Cxfe+UIL752ilffHMcPohW/V5ElNq4psW20l62jvWwb7WXbuj62jvaSSxuX3e9nj8wxV3PwPJ83z8yx79gMM3NVjo3P07Ld7vsm5+t8/suv8vkvv8oD20f46Y/tpKFZVNs+mZRKte2jKp23cE4uXUdfEATh3SaCe0EQhBvYUh78SsHl8vfJbCvC9945hKZpl9jaW/vO850/S11I61TtJIB3vJC+bIpGx2eiYlO1PfqyKRwv4KWDE/zBV1/jiecP0e5c3HhJAgb7C3zgrvXcsXGI++9Yy2Pbh694Py9MD1poe2TSOkebLulSgQ/fX+KXHt2MrsicnqnxzN5T/PHXD/DN1053t/HiwQlePDjByGCB7/7gnawf6aeQ1hjKL7+ZWOmcXG5M3u5xiNx9QRDeCRHcC4Ig3ARWCi4v52oGjeenpYwWLTRFxvED8pbOj29dxx+9dIZq20OJQ7717UN8+ve+xFS5cdF2+gppdm4b4d7bR3A1g+GeLNuH8wDdWvNXelwvn1gAKalNX7d9pusd2q5PEAJIINNNEdowVOSnPlbkpz62k/HZOl94+gD/48n9vHlmHoCJmRqf+/Pn2Djax6e+/356R4uX3Y+3MyYrEbn7giBcTSK4FwRBuEVdzaDx/Fnq3qzBx+4aWnajoMcBe/cc4qsvHcEPlue9F7Mp/sGHbueTj+zgvtvX8urp6rLSmHDpdQIr3aAslbo8UW4xXe/w9UMzbOjJMNJjokhJ+pJlqNw2kF2WIrS0rXLLJTs0yL/9xVGmpqv83l++yOHTcwCcGJ/n137nS/yjR7Zz1y9/jHwm9ZbO09u5oRK5+4IgXE0iuBcEQbhFXc2g8VKz1PtPzPKbf/It/uwbBwmjcw2nJAke3bWRn/ree/h7D96GoZ/752ap9OQLx8rsOVMhDMFKKYxE1kV19Ve6Qak7HhMVm0rbpen4BFHETCMpsbltKL+4uPfiPPilbU1UbKptHz+M2Li2j498173cM1flqecPUK4mFXf+5OmDfPP1cX7lxz7MfdvWXvGvHi8cL7PndIUgilFlCT+KeGTrwKqfWWmxriAIwtslgntBEIR3wfXIq76WQePz+8/wH7/wLf7ulWPLnk8ZKg/cs5l/8MgObh/t7R7nhcfvhxG2G7JztMTe8SquH3ar75z/C8NKNyh5U6dqV8mlNMYXbOJYou369GYK9GU0Ti60ODhRx9BlPn7nMG4QYqjJZ1VF5vBMkzCKmV1cCOz5Mdu3rOWu29byrb3HeeqFA3Rcn+lyg//td77E93z4Lj764O38sw+OXXbM9pyqEkSgqwqOH/DE3klsN1h1zK9W7r4gCAKI4F4QBOFdcaUpMlfzJuBaBI2Hx8v8i9978qKgPp9J8fEP3sGdd2xg02D+okD9wuM/NFNn52iyP0EYgQR+GHGi3KK2uFh391hpxRuU3WMlDkzWeX2iRlrXMA0FRZI4NNWg3HRBkhjttVAkmX3jNU7MtxktmYxXHBqOB8SEYYwkwd8emEJTJabqDgM5g4fet4kfeXgr//5zX+fw6TmiKObvnnmNmbkatw9l+ci2wYvOyfIyoW0G8ilAZqrmEAQxprb6mF+t3H1BEAQQwb0gCMK74kpTZK5mnvzVDBoX6ja/8fln+b2/eXVZ+s1If47dO7ewZdMa+vMW5WZSL36pTObScV54/MQSjhdi6gqqIgMxR2ab1No+xXQS0L9wvAwxHJqpQyyxa0Oxe7PzqQ9soOF4nF5os9D2iCPIpFQGcilOl9vMN2G0lObEfIuBnMFtA1mGcikOTTcYLphU2knvANeP+MRdwxyeaUIM948l3X+HSj/Iv/r9p3lpT3ITs/fgaR7/70/xof/0oyiKvOzcnD9ma4oWkzWb4bxJEMbcNrxyiVBBEIRrRQT3giAI74IrTZF5q91hr2V6jxuEfOvYPH/61Ov86df20TyvVvzavhz/7p8+zOi6QZ47WiaT0mi7IS03QFmsyX/+cV54/Ls2FNFkmbrjsWtdESR4/ug8xbTOlsEsmizz7ZMLKLJMEMZJnf+Y7rEaqsKDm/rYPlzA1BWePTJHyw2YqneodQJCYrwgIggjiov7kDM1Rksm2waTG48Xjs9TsHQsXWXnaBHHD7o3Qw9u7uVHPvo+dMvihRcPEIYRz+87yc/81pf5r7/0vd1FwXlTp9zqkEsl33H3SAFFhm1DOfKWftkFw4IgCFebCO4FQRDeBVeaInO5m4B3s2zif/mbffzOn7/A5Fy9+5yV0vjf/uGD/MsfeQArpfGl1ycppHVsN0RXZTIpNalzv1gmc+k4Vzr+lW5K9pyusG+8iiRJ7B1P8urThkpf1mDPmQqPbDu3OPX8bTpBRCalMmhoeEFI3fGZqtlIwPPHy+wbr5JJaXz3HQPkTY26k9Tjv1TwbagK24fzuA9sZbQ3y//8m28RRTG//3f7qHdC/vHH78My1MUSnC6arGDqCkEYc/9Yb3fRsMilFwTh3SaCe0EQhHfBlabIXO4m4GpWwLnUrwALdZtf/J2v8CfPHFz2/ofv3cz/+F8/zpq+XPe5vKkznA956cQClbZLX87kx9+/jmxKW/F7LEPFDyP+dv800/UOQ3mD3kwqOc4YQII4ZqJis9B06bgRbd8miiIUWSKMYu4b6+GhTb3LzqkfJp9pewF3ri1gewHbhws89eYMbq1DHEVossLJcptfemTNxcd/wbl2g5A9ZyoEYczO20dYW3iE3/zDp4nimL94Zj+GrvITn7gPU1foy+iMV23mmx36sil+fOs6QOTSC4JwfYjgXhAE4QZyuYDwnVTAuVTFmvN/BajNV/jp//wlZqvt7uf6+wo89P7tPHjHWvZONTlRdbs3ArvHSnzu+VPkTY11vWlGixb7xmvLjuH8Xxv2nK4QhjFzTZdK26OY1vng5mTBre0F7FxsHnW2OkEmpWF7AU0nwAtD1vekmag4KHIFTZaXfUdvxkCT5e55OTRTx9QV2l7AaG+aIIzYPJCl2j53M7TauX7lZGXxvyRsN6TQ38Ov/vjD/MfPPwPA//zqXjas6eG+7euZb3mMFi1uG8jieOFFxy8IgvBuEsG9IAjCTeSdVMC5MKXn4FQNS1dpewGhH/DEk3vZ9+aZ7vvNlMZ977udzZvWUG56HJtvcufawrJ0IENVGC2Z3DaQ7X7uwsZRL59YIIgj0rqKG0RMVGzmGi5IUHd81pZMNFVazF9PFuROLDjoukRG0nGDGCWQGCpYhFFMEMUX/WJx4XnZta5E3fZxvJDJqkPBSqr3DBaurClV3fHYsbbA0ZkmbS+AWOLxH3uAoazOL/3uVwH4L3/yHH/4b4YZyqeSRcIs/zXl7ayPWO0zS68tNB2OVOGRIELTVt2cIAjvQSK4FwRBuIm8k1SPC1N6JmsdetMGE2fn+NO/fQXbObdg9v071vH+++9gqCdJwZGkJp4fdT97fnC92q8JLxwrM15t47gRupZUmZlveCiyhB/GaIrEkakm963v6f4KUG17jA2kaTk+DTegL6sjSRJ+EGJoCqqc3Aisdl7cIORzz59ifU8aJAmZmJbnM1oq8pmvHiKMYixDZaRodtOCzg+8l47pjuH84jFpGKrCT3/fLp546Rjf3HOCpu3y2T9/nn/1z76bhhNcdPxvZ33Eap8595qCE0i8errCw9uGrnD0BUF4rxDBvSAIwlVyPRpVvRUXBuE9pspffPXbvHF4vPuetKnzc3//QR7aOcZEtcN8wyWTUokjujcGFwbwS7Pm5VaH6brLUJTqdprdc6bCQDbFvOTS7gQYmsxQwaDlhsw1XfwoRnVl7hktdH8FGCmaPH1olnLbI45hpGRhuz4t12d9X5pd60sX5cevdN4v/EVh75kqh6abBCGcrTr4YUgcgyYrFwXel/qF5NunqvyzH3iA/cenqdRtvr7nJB+7/yQ779x40XvfzvqIpUZbB6fq2G6Aqkjd41naXhAG6ArUbP/tXAaCINziRHAvCIJwlbyVmdp3ciOw0mfly39sWcDaajt87s++wdRsrfv66No+/uP/8t0YpsFEtUNfRudUuU0YhWwfySU55RdUwYFzs+ZPH57l+FyLwzMeqizhRxHEEoosM1pK4wURqpzUq39i7ySaLKFr8rI8/byp8+ffGcdxQwZzJvMtF0mCH71/Q3cG/cJzeuF5f+FYGU2ROTTVBAl2rMkThDFIMUEYo6sKYRQjyzK2G6wYeK/0S8BzR+d55vAsRUvnn//oh/g/fu8rAPzaf3+a1/77Jj64Zc2ybVzJ+ogLx9LSVfacqSb7i9Q9vqVzU7d9NAW8EAqWyMkRBOFiV/LvgSAIgnAFkpnVi3OvV9INSM/rXrrEDUKePjzLZ75ymM989RBPH5rFDcIr+uxqlgJWyW7zs//hL7qBvaYp/ND3vI/vfew+jiw4vHhigb60Tilt8KHNfTx6xxC/9MgWvmf7EJ+4a0031/5Ce05VCULQFQU3iHhi7yRhHDFRbXNsrsmp+RaGLnPf+hKjJZON/RluG8xx92ixe67uGS0wWekw33KpOx5FU8Nxw1XP6YXnfc+Z5PzsGMkDMQcma+QtjV3rSqiKjBcklXeiKMIy1CTwNldfmLx0zguWTrXtY+bzPLBzEwAdL+DXPvf0RZ/ZPVYib2mLN0TaRb82PHd0nv/y9aO8fLKMqsjUbT+J52NAikkbCjvWFrrH3N2eF2KqMfeuF6U1BUG4mJi5FwRBeJtWmnVNqs9cvpLNaikbr5yssOd0hSBJcWfPmSqacq46zNJn/TDiRLlFzfYIw6D7/ksJw4h/84ff5P/84+e7z63py/PrP/Uobyx0cP2IgqUTRi5TjQ6ljHHZm5Tzz8F4tU3R0tk/2WK66qAqEh/Z2sdkzSHwI+5Ym2ekkMzS3z/W253Vbjg+040OX3p9kpPlNooi4Xkxfhiz0PZYWzKBSzeCunCGnFjqBvs7R0vd5lRuEOKHEV/eP4UbhORMjeG8cVHgvdp43TaQ5chskwNna2y/azP7j5yl1e7wxPOH2X9iljs3nqvDf7lqPHXb787QH51pcsdwHtsNuH9jz4oz/kvb830f+ew+DFXMzwmCcDER3AuCILxNF6aDWCmFvKVdUSWb1VI26o6HG0TMN11cP0KWYVN/+qLPnii3qLV9immdmuNzrL7SNyXKdZtP/vu/5KnvnOw+9/0PbeWn//5DHJhu4HoRmwYz2G5IqxOgSBd3mYUVymlGEXYnKac5mDP56sFpojjGdkOyhsxf7Jlk21B2sYY9HJ5poM5L/OyHN/Ht0xX2nKoyXm2zpmChKmkOnq1TtHQUWaLVSc7Px+8cXjEdaMn56UaWoWLoMi8cn6do6YyULHozRve9J+bb9GaMZa8tBf5PH5plz5kKrh9RsT0yhkpvxuC2oeyyFJ+NvRmOzzYZLlh85P5tfPHpfQD8xuef5S//7Q9fcgzOP3eHpprsGMljGckNYdsLuuf6nVREulpu9PUjgiBcmgjuBUEQ3qYLZ99tN+ATd625zKcSqwVweVNntuHiuCGKIhEEMF13L/pszU7qxG8ZzCLFEU64/DuWArS9x6b4D7//deaqLQAUWeI3f+a7+JV/8H4kSSIgmRVuL3WZNVT6chd3mYXkhqbcdBmv2tTaVcptj4/dmVRsMQ0FCTC1JKdd1VTqtsdswwViFFlmKY9833gNTZbZNpTDDUImKm0mKm1qjkdGV7l3fSnJ0Vfge7ZfuiLMSrX7RwoWcQzVdrI4dWn/XjlZYb7RIZPSaLshExUbTTmX157kusP+yTodN2JDv8VUzeHF4/NsX1NgttkhjCIe3NTHmpJJHMH9d2/kmZcP0Wp3+KvnD/Ha8Rnu3jS44r6efzOIBK+NV9EVhVPlFoYqs3tDTzeIvt518t/NTsiCIFxdIrgXBEF4m95JQ6nVArjdYyW+dXyeiYpNjMSmwTRD+dSKn63bPpos0+z4mBdMrL5yssI3953iP/7B13HcpLLKQDHNn/3rv8+H7l6/7DhGSkmH16rtMVgw+dQHNqw4U1t3PE6V2xyfbxJFMNfs8NpEjXvXlai1PTIpjUbHI5vScIMQM22wppAiCGPOVtuEERi6zFNvzJA1VXasKVBpe7h+hKrI5AyVlhvgBSGqIrNrXdLUyg1CvnF4ji/vn8bxfHKmwfvHSsy3PIZyKXJmUsf+9bNVyi2PpuOTNTVuH852j6PueBTSOvbiTUzV9sibxe5rQRihqwquH6KoMh0/omr7yXHoKsN5C0UmSY2JosXUKYmH79/Kl55+DUhm75/4dz+y4riefzO4Y02evz0wRW/GYPuaPCMlC02Rr+rs+DuZfb+anZAFQXh3ieBeEAThbbpa6RMrBWEPbuq74Mbh4soo539/wdTYnF/++hPPvsF//dPnCaMkGX/r+n6e/k8/xnDvufKQS3nox+eaEEt8YEsfD23qvWQQmDd1Ds80kBfTdvqzBpMVm+3DOVpuQH/WoO54LLRdBnIpfvjetQzmTA5M1vGCiKNzLeoLHqWMwY41eV6bqGK7IQttD1WRuG9DiTCE7Wtz3XOxVLP+62/OEMcSkhQzV/cgjslbGh0/RJUlGh2frxycQQZ0VcHUZCQJfvjedd19H86FvHhygWrbpS9ncs9oofva0mJbQ1PouBEpTcYPIiz9vHMRJ8f90KZeNFmm7njcO3of39l3nOlKi79+4TCfe+YwW9b2XBRMn38zGIQxo8U0OxdvXoCrHkC/k9n3d3LjKgjC9SVW4wiCILxNSzPoq1WQuRIrVb9ZrdLKSt//0KZeltZXxnHMp//4eX77C892A/v7d6znd/7F9y8L7Je+23ZDdo6W2DaUQ5OTjTx3dJ4vvT7Jc0fnl1Xq2T1WQpUlZhsdyq0OkiSxpmjy2B2DuH5EzfHpS6dIaclC2S++Ns3ZSptq2+XYfIOzFZsY0CRQFIm9Z6ocmW1Q7/gUTYMwirlvrLTYrbbD554/xW89eYTXzlTxgohGx2Oq6tD2Ak7Mt5hrdHjh2DwNx2eq5uD6IWEcE0URXhjRcPxl+z7f9ihYGjvXlXhgYw/7xmvd13atK6IqcOeaPJsG0+RNjU39Ge4aKeKFIaoCuzYULzr3j24f4ud/4N7u97y8//SKVYwuHNNdG4rJAmC4ooo9b9Vbqd50oSu5/gRBuDGJmXtBEITrYNniyukGO9YUgHNB2NvNuw7DiF/63b/js1/8Tve599+zicc/9RE+uKX/ovevlH7xwrHyYv55kirjhxGPbEuqwBiqwtahHEEUI0tS0ulVV3nlZAU/DOnPGhycquMHEboqAxGvnq7iRxFtJ2JN0aTtBrhhxLGZJl6YVOipOT7HZhucqTQ5PtfC1BVGS2lsN2Su6aCpMlXHRwY6YUi7FeCGOvesKzJdd5mqO4BEwdTxwojebArHC7rB7dK+LzW28qOIozNN9p+tAUkw+8i2ge5xrjROS78krOQfPrydf/X73wDgG985zj987J4rqp1/LRfOXqu0MUEQbmwiuBcEQbgOli2uBA5M1tk5WryiIOxSTazcIOJH/t1f8cUXj3bf+1N/bzff96EdpFR12S8LS9u4sNFT3tJ5+WQ5qVevKnhBxJ4zlWVB70jJAqDtBRiqgu0HPHN4FlNXOVt1kvx5WUZXZLwgptHxWd+TZrbhYhkKsiShyhKGpiQ3D0FMb8bgzEILJAVVlnHckFdPL7B7Qy9TdZKZeD/E9gIUWSJjqGRSCg3b56HNPTSdgGJap+P6nG10cLyQjJFU2jnfUsB7styi2vYppPWLUlZWy1Vfqk9/4Wsb15TYtr6fQ6fnODm5wNGJMts3XHwzdb63GkAv7ddC0+FIFR4JIrRV+ljdCFV3BEF494ngXhAE4TpYtrhybYEDE/VVyz2eb6Vc6jsHLf7tEyd4Y7INJBVx/uU/fpjvum8LAOVWZ1lQ6ocRthuyYyTPgbM1Dkwmted3j5V4+cQC3dqVALHUDSzLrQ7PHyvTcHwMVSaWYLRoLdbHj5muO+RSGp0gRJJkpusOQ4Uihqawc10RS1Oo2h592RQb+9L8t2dP0Oj4OF5AxwvJpXQ0RSaKodzyOHC2huuHdIKInKmR1lWKaQNVhb5MilJGxwsiym0PQ5PZPlpgixejKLBrXYn7NpR47ug85VaH6bpLX0ZnutFh/9kaqiJTdTrUbI9y06XccunNGN1zs1Ku+kXdcI+XIYY9ZyqMbRji0Om55H0HTvNTj2y9KtfK0rl/+WQZgNsHsziBxKunKzy87dKVhMTsuyC8N4ngXhAE4TpYtrgyiLl/Y8+ymeOVZoeXXJhKM1tr8/2/9+VuYG+lNP7R9z1AabAPP4wIwjgppRlL55WwdPnYjmE0WWbH2gKvnanx8skyL59YQFUkwjhazDOX2LW+2A1qxysODduj4QbkDJ1K22NTXyZp7gQUUjo9lsFcu4PdCfBdaNgeY4vv8cOIvFlk91iJF46VGc6byY2CpiDLEqYqE0sxC+0O+ZRGKWMw3+ygAd91+wD7z9ZpOj4DOYvRksVk1Wa0x+Jjdw4RBHE3P/yF42X2nKryxL6zrCmY6KpC0wkIwgg3iLpNwM6UHQ50GhQsjVPl5Pw9c3iW4byJZSRNq85Pr7nw3O85VQUJghC23zbK333jdWLgxddOEsfxquN4pS5seHVsromuQM32l71P1KYXBAFEcC8IgnBdrJYysVqVEzcIGa84zDc6FNI6A2md//T5r7PvyCQAaVPn3/4v38u2sf5lM/JDUYrxio3thmRSGpNVp5sKdOBsjcm6zXDeAmLCOCZn6oyWzG6Q+OQbM5i6iu0GqKpCQZYxdYVyO+bNqTog0ez4bB/JY3dCRnst5psepbSGIkmM9WSwdHXZTLLtBXzirmGiOGa+2cENIjIpjVrbS2rgr81RtHTWFk0OT9chlrhjOMdso8NoyeL+sV7KLRdTUzgy00z2TZHwwySVKIjAcZPzJREz1pel7QUQw0DOYP/ZGlGcLEDuSac4MdcEYiarHRw3QtdkHC/kwU293X2+qBuuFBOEMbqqUMyZDA6WmJ6pcHyywqc+9yJ3rOvj7tHCFVWruVRwvnRDsdTwquWGBCEULqigJGrTC4IAIrgXBEG4LlZLmVitxvgrJysM5VMEYcRcw+G/feEbHDk1A4Cly/zrf/YYdy42Udo5WsLxAz64pY/njs6zf6JGJpVUQDFTCsdmkmA2jGIGsqnFBbDghSGjJXNZQ66loNYyVKIoqYoTRRpDOZOq7XJ4usEda/KMFCymGx1Gixavna0yVUsWuqYNtZurv8QyVPacrrDQ9vB8GOlJEwQxDdenL2egSBJtN0SSYravKSS5/JLMD9yzloc2JwH3554/xWtnqqiqxHDeRFWkxcA+CbjTKZV2J0TXZFqdgGJaww0iVGL60incIMTSZYIgpGYHTFRsdE3BNJLAfrJqc89ooTsDbxkqlqFge0kK1a51JfYsVvI5W7XJl/JMzyRVco6cnieXTWPpCncM5y9breZSwfnSub9tIMuByTqyJKGpMfeuX56+JWrTC4IA17gU5nPPPccnPvEJhoeHkSSJv/7rv172ehzHPP744wwPD2OaJh/+8Id54403ruUuCYIg3PDypn7JEol1xyOX0tjUm+arT32nG9jnLIPHf2Aj924dXvGzu8dK9OVStFyfStsnb2hsHcoBEpO1DrPNDo4XJF1hZan7uaUUoXKrw3jVZjifYvvaAjlDR9cUNg+m2b42z4beNNuH8+RMjaF8irylMdtwCQJY35Om2vaZrneWHacfRoxXbFqujxP6HJ1tMNdK9qM3bTDf7jBRbXNyvs32NXl+6dHN/Or3bOORbQMYqsILx5Pc//lWh+lqcgyKInNspsVUzcHxQvoyBqYhM1q0KGY0bC8gjJIqQCERlbZP1lBp+QE5U8PQVLKGiixJbOzLMlpKs2+81i1VandCNEXulj99aHNvt4SmH0RsWHNulr9WreP6IW0voOEkKU0rlRc9f2xXKl25VJYyiCLuH+vhFx7exLYiGOryf8JXu24EQXjvuKYz9+12m7vuuouf/Mmf5Id+6Icuev0zn/kMv/Vbv8Uf/uEfsmXLFv79v//3PProoxw5coRsNrvCFgVBEG59q6Xs5E2d+brDf/yDr7P38FkAMqbOlz/9I1RO7+fe9SX2TjQu+qyhKnzqAxt45WSFZw7PUrB0gigiCGIGcgaqLDFZcxgtptm1vtj93NJsci6lo8kKlqEwmDdx/SSIvH04z2vjVSYqDhPVCYIgZvtIno/dOZTcEFQcmo5P3fEI44jnjs530032j9cZyJqUmy7TNRfb9xnryVDr+Mw1XWJgIGtiGQpP7DvLn357nO1r89w2kMX2Av7s1bOYmkxKUzAUmaMzzW5nWj+M2TteZU0hxcfvHubBjb380UtnsN2QphvQ7PgYqsKDW3poOQFG2+Njdw7x5lSD43NNGo5PFMOagsHLJxbYOpzl4FS9m/qzdAyGqnRLaD53dJ6n39D4ylPJWDVrLUxDQZVkphsdhvKpZb0MLvzl5lKlKy/8lcf3l+faX8l1IwjCe8c1De4/+tGP8tGPfnTF1+I45rd/+7f59V//dX7wB38QgM9//vMMDAzwhS98gZ/5mZ+5lrsmCIJww1otZefONTk++J+/yIGj5wL7r/7mj3Lf1iH+7vR+DFVetaTj0mt12+fAZA2QsHQFRZbpzRjcv3F5Z9WLFpCeqbBtMM+ONQUOTNZ5baLKXMNN0m9iGCiksN2AV05W6M2k0GSFk+UWYQSFtEa56fK5508xWjIZr7bpeBEdP6LtBfhhxILj8r51JU7NtUGCYlrjZLmF44aoiszBszWOzTbZ1J+l7XiUmxFBFFF3AmQZipZO1bYxNJmdowXuHiliaSrfPlXhtfEqlbZLGAES9Fg6qizz0OY+9o5XCIKY24dyhFHMeMVmtGSxY02eA5N1nnxjZnFNQtKhdqXgfPdYCT+K6ClkWKi1WKjU+fiOIR7eNpCsWdBWT5l5p8G5qI4jCAJcx5z7U6dOMTMzw2OPPdZ9zjAMPvShD/Hiiy9eMrh3XRfXdbuPG40GkMxkXGo2Q7jY0rkS5+zWdyuMtRtEvHq6Qs32KVga964vXZSScKtxg4hnj87xdwdm6QQh24dz/Pj96/ip//y33cA+pav8nz/7Pdy3dWjFcX7xeJlyy+Ns1abS9nl9vMJPPrienSM5Xj1dQSYGKSaKJGq2R8nSWGg5vHhsjocWF5FmdJmakyxadfyQKIrQlBiIuXNNlj1nqjQ6HkEUoSkyihQThBELTYdHbx/g1dMVZusOthcAIafnm6RUBdfzsV2fN6eb9KR1CqZGStORYgnHDbhzbY4tgxlsL+TVU2Wm6y5BFOGFMRlDJggjDENhtuViaDIdLyACDs/UKVoGYTsmjmqkdZmRosmJ+TaKHOOGSd5+zXYZzBk0HY9mx+XutTk0RaJm+9y7Ls+GUoqsqQER2wbTHJmuE0ZJ7fzN/VkWmg6+7190be5eX+K7d63nC08fJAgjCnKAHEcXnceCqV30Z1IG3r+hcO4a8ANePDZ30XV/K/yZFq6MGOv3jkuN9dsZeymO4/jyb3vnJEniiSee4Pu///sBePHFF3nwwQeZnJxkePhck5Gf/umf5syZM3zta19bcTuPP/44v/Ebv3HR81/4whewLGuFTwiCcLM7VAUnkNAV8EIw1Zhtxeu9V9fWoSq8PCvhx6BIEMVQmZrlpQNTAMgS/JPv2sTIQIadvStvY28ZZm0JLwJVhk4AtxfPnbsggmN1eLMKlioxnE6+y4vi7jaX3uOEYCoQAe55Y/F6JSaOJepeso+SBBuzoCsxQZxUy6+7kFIkLA3GmxDGsCYNNS/ZtipDXkuOKa3GfGAINueT7z9Wh78+DW4ooclQ95L35XXoLKathzG4QfLfsgxxBKYKazLQY0BWi3ECKHckZjvJMWU0KOgQxjHrMvDBoWQ/lo617EDRkDDV5DjLnZje1MXX4ErX5onT83zu2aR60c9/1wiPbu+56Dxuziffd7lr4L123QuCsJxt23zyk5+kXq+Ty+Wu6DPXvVqOJEnLHsdxfNFz5/u1X/s1fuVXfqX7uNFoMDIywmOPPXbFBy0kd4JPPfUUjz76KNpqLQ6Fm96tMNbR/unuQkNIFgt+752Xbt5zo3orv0BE+6c5HE1hLaZyHDk52Q3sAf75j36IB+8Zo2BqPLSpF9/3+crXniK3aRctL6JgaTywMeKFYwtkUypeEGHpCht6091z5wYRpdMVOFkBCbYP5/GjiIKZ7NvSvu4+b18vPAb52DwTCw7Ncpt2JyCTUtm2dQgvCIljiCU4PtPCi0I8VaGghdQcn7qmEsoRhdDD9gL0tMFI0eKutTk+9YGxZd+9kJ5hfMHhxHyLgibh+CGSoSD5MQNZg4W2S16RaXkhmiLR8SOyloaZTbFjrMj6njRnqzZvTDXoi6HcTr6zt2Rx20CWDb0WeVPjyEyLNi5FS2NrPkW55bG2aFKwNO5aW+A7ZyrsPVPDlOCe0QIPbuwlenP2omtzy1iTzz37FwD0Dm/ge7/3obd1vVzqur8V/kwLV0aM9XvHpcZ6KUPlrbhuwf3gYFKqbWZmhqGhc/9Iz83NMTAwcKmPYRgGhmFc9LymaeLCfxvEeXvvuJnHuidrLlto2JM1b8pjeenUPC03JmsatNyQvRONS+ZI92TNpGylG1Iu13j2uf3d137yE/fyofdt7ubRa4v58cfqcJsfdbdvGSqDBatbE3+0aNGTNbrnbml/bl9T4Mk3Zzg20yaX1ihZOn+5b4rBXApNlTk+2+Iv907xAzuTEpQPbxvq5vNP1zwOTjfRFImsqbN5IEMMSJKMoSX7ZfshhiqTM3XmGy1abogsSfhRjCxJ9OdSqLJCwdIZ7c2wd6Kx7DzFyGwbyuNFMWcrbSQJTE2jZMpkLZVKy6Xl+qhKcvMhA305g7vWFgkimGv5VOyAdEqj40foioyvKGwZyBNEMZN1j1MLDrYXkrcMOkHEbMtnY19mWTnQlK5zx5pi9zrcO9FY8dq0Muf+aZ2ttd/2tXq56/5m/jMtvDVirN87LhzrtzPu1y1pdcOGDQwODvLUU091n/M8j2effZYHHnjgeu2WIAg3oKVSgI4fdDuQ3owuVepwJbvHSnz8zmFcx+FrT3+HMIoA+MnvuZvf/+cf7ZZiBHju6Dxf3j/NsQZostzdvu0F/Pj719GXS1GzPaYbHe4ZLVy0P0fnmoQRlG2P0+U2Z6sOjhvy2tkar56qIkvJbPmeM1VeOZnUcH/lZIVy02W+1cEPQ4IwpmBqRBGMVxxOzbc5Md/E8QJypk6ERNsNSOkKG3osYiTaXkDLD2h7IW4Q0nD8pGLMBedp50ieesdjspL8OmCoMn4YEsYRhizzvg09GIaGG8ZIwLreNMP5FFN1h2+fqtCwPfKWhu2GKBJkDBU/innpRJmZhsNCM+neW7R0vCBCV2Vqbe+iUpIrjd89owXGqzYvHJ9nfLEm/prec9Xepsqtt3293CrXvSAI765rOnPfarU4fvx49/GpU6d47bXXKJVKjI6O8su//Mt8+tOfZvPmzWzevJlPf/rTWJbFJz/5yWu5W4Ig3GRulSoglyp1uBJDVdg+mOYb39iL6yYLqh7ZuYH/+198fFnq4rnGRwpSLHFwqs771vd2t79vvMZo0WKsN82ByTqf/caJbkWcpf05PtNist5hruEQxjFNJ2DrUI6Zhoskx5RbydKs0+UWm/ozQBLonlpoU7V9VEkhCJObj4V2h3vXl9BVmTcnGxycrNOTNYiiKOlo2/KYaXoM5Q2CKMb1QtqdgDY+5ZaLqsrcPpxjpGiRS2k4XkjVCRjKm9wxlGe85lC3fYIImp2ALUM6rh8xkDGQsgZtN6Ta9nD8kIGsgapIBFGMHMVUbI9y0yWIYgqmiiRB3fbQVYUPbyhSt30mKjbllovjR5RbnWWlOy8cPyul8kcvnen+MjKUS7FvvMaDG3uQZYkoipksv/Wf1M+/Bm6F614QhHfXNQ3uv/Od7/Dwww93Hy/lyv+Tf/JP+MM//EN+9Vd/Fcdx+Lmf+zmq1Sq7d+/mySefFDXuBUG4Jb2VUodBGPGJX/8zphaDw/XDJf7Fjz/STcFZslSqMggD1lgwUXHoBPP0ZVP8+NZ1fPPIHKaucnCqThAm1XGW6qwv7c90w2G+0SGOY9wgYq7ZIaUlM9NuEJJNaazvSeMHdBtR5U2dw9MN8pZOFLl0fFhou9wxnOfukSKaIgMSh6caDOVTvHC8jNqS2dBjcarcxvYiNvamieKIhuOjSDJBFPPmVJ2FtktfxmBDT4ZdG4oM5Q3emHRxgogwjFBkiaKpkk2pDOVMJhZsZEmi5QaYmkzTDYhdn7IsoSsy+ydrlCydKCSp7x9GLNgelhayvifNfeuLPLSpl1dOVtAUCSSwOwGHp5uoShs/jHhk28BF4+eHEfPNDplU8qvAeNVGUyUURWawlGGq3GRqoXlF18ZKZUuNC8ZaEAThSlzT4P7DH/4wqxXjkSSJxx9/nMcff/xa7oYgCMIN4a3MxP7v/8/Xee1osoC2lLf49M99L8EK71uaTdYUmLRh0xqTu0ZLHDhb47PfPE7aSDrG2m4ASKR1tZtSsrQ/f/rtcaptHzcICYOIGGh5Ppv7MlRsj5mmy8HJOmN9aYpm8s/G7rESf/6dcQopFV0B24tRJYnbhrI4XohmyhyebqCpMqamMpRP0eoEDBdMJEnC9gIiKabl+MQRdKIIVZFoeSFhzaHu+BRNna8cmKFgqnzr+DzESXqQpspEQD6l8+1TFfpzBoP5FFM1B0mSWFMw0WRouSFriiZnFxzmQo+ipTJVd5iqdZAk6M1YVFou3z5d5aM7zq39OjbbZCCbwtSThch7zlR4aHPvRcH3k2/MULR0Gk7AfKtD3faQgKcPzWKZBtBkttomCJOOuCtZCupfPrEAEuxYk79kkytBEIQrcd2r5QiCINzo3u1Z1T//xhv85z9/CQBVkfnXn3qMTNokb55bWLW0T+VWh+m6S39GI5Zitg/nOTrTJAgBYoZyKabrHVQlSeUZ60uzdzzJm7d0FSRw/YgwjtEUiXRKww0CbDfECSPabkhvOmn21O6E/M3r0wzkTZBgTcFksuagqTI5Q2LrcIaRosV0vYOmShiazEA2BYChylSDmImqw3TNQVVliqZK2tBoewFuGEEEqiwThTG1ts+3T1cwVImModLsBERImJqKpiQz8mEcM5Q3GClZ5Eydsd4MSKDIsPd0lSAKGF+wyVs62wazvHa2ykLbJwQCP2Su3mFdKU217fJrf3Wg27TK9SOm6x3G+pIUJGLpvPSncx1m86bOSCnm+aPz1G2PUiaFvbg2IWMmhR+iKMb1AlRz5RSspe0GcQSRxJHZJtuH86uuxxAEQVjNrd0FRhAE4SroBnbaucDuWjl0Zp5/+pm/6T7+hX/wIGMjvRctqFzap1xKZyifYqbeQQIOTtVpdJIcfctQyZkaoyWTX/quLdw/1svByTrjFRvbDfl/nj3OF14+g2koKBL4ITiejybLWIbCZMVmvuniBiEtN0DXZAxV4ol9Z/nTV86gawprChZxDNvX5tgykGWiYjPf7GAZKhv60oxXbE7ON5GQ0DQJLwiBmKKpUbN9NvSlyRgapqbQ8UNUGYI4IpNScf2Qih1wfL5NJqVSTGlsHc7hhUlqUdsLWVOyiIHRksnPPryRtKFSa3vUnICetM7G/gwb+9LkLI1q2wNiNCn55djxI47ONZlvupyt2Lh+yJHZJluHcvhBhBeGqArs2lBccTHt7rESvRmDvKWxc12Jx+4YII6TJl6rVHReZmm76cUuwLYbJOslLnEzIAiCcDli5l4QBOEylvLa4fJVbt4Ju+PzDx7//2gvBuf/+NE7+a2ffnjF3h9L++SHEc8fnU8CailZPDrb8BhdrOF+4cLdk/NtVEWi3HZpuSFeGCM7Pl4Qk9JkdEVP8vrjGDeOCeKIctNFkSViQJZjGk5IFEeoSotN/Wk292cZ681waLrOyycrBGHEiycWGMqmKGZ0LE3hxHyLtKbQdgMkWUoe6woLTY8F2yWKk+ZU/mJakK5K+AFIxOiK3F2gerbSZjBnUEzr+EHEZMVhpGQxXnH47DdOgAQPbOoDJBqujx9ElFselqaSS+lkDA3bC5lvdvCCZEFvRtdQFYnpegdFltg6mENVJFw/TAr1k/zKYbvhssXQhqqwe6zEgck6880OR2eaRFHMTKNDw7myrpJLaVVbBrMcOFsDJFEZRxCEd0QE94IgCJfxVqrcvBO/+Dt/xxun5wFYN1Tkx75vN14YrZgClDd1yk2X547Nc3i6Tt7U8EKwNIWPbO2nN2N0U3aGohSfe/4UQ7kUkgTTNZe646LIchJsSxKqKqGpMi03wnY8gjBJb9FVGVWS8cKIKIqotAMyhoqiyEzXHPaerjJUMJluOByfa6FIMqoisVBzqds+O1NFgijCDSLGK228ICZnaURhhBOA7UeEEURxjKWryJIExAQh5C2NatsnudeQKKVVShmDh7f2843DsxyZbRNFoKmwsa8vuelaTG3pyRrM1DtsWEytURSJtT0mhyYb1ByflKZQSquoskSl7bJ1KMdUzcEPI/KWzm0DWfwgTkqKdkKslELe0i5aDP3KyQpDuRR+GFFte9QdnzUFc9lYrdYG/vxFuveP9YqFtIIgvGMiuBcEQbiMt1Ll5nxvJVf/fzz5Ov/vV14DQNMU/tH3PUDLjS65sHL3WInPPX+KhWaHGImpqoPngjRZ5/Y1BQCOzyU11k09zUzd4dhsk4WWR832sP0QXYlp+yEZXSGlKmQNlY4X4sbQdpPlu6oCBctgfcliXSnN3jNVNvVnqNkuJysOAH0ZnVbHp90JKKR1zlYcOn6ABMw1OpRbLj0ZA11VcHyfhabLcNGkZOnkUxHjlRA/jEECL4jImSolS8MPY/pzOmuLFjXbByTW5C2+cXgOL4wZ68mgaxJ2J8mRT+sqbTfEdgO2DuY4MtNgfKFNue3Smzbwg4hSRieIIlRZppjWSakKQRRxtmITRjGjPRYNx+OLr9UYKphU2j6ltIahKPzSo5svGr+645EzNbabeQBeOD7Pvet7+P/MK2s8s7SoeelaefKNGVEtRxCEd0QE94IgCJfxduuNr7QIc6XtnJmp8XO//Xfdxx98YAdVT+KpQzNs6E2vGOgZqsJoyeR4NkXNCajHMU0PJmsd9i+mdxyZbmJoCoos01qs/160dKp2kqYymE8xXmljqDIZU6XS9PCjiHxKI46h40dEcUSr4zNaMilZBvduKDGUT3FkJsLUZHozKeodn44fYvsBKU+m5Qa4QYwqw/hCGz+MKZg6uiqTS6loqkJvxiCKIYyjpFttGNDxkxScgqlRd3wcPySlqfRmDDRZJmOo3L2uwMk9LWYbHSxdIZZUJio2bc+nN5ei7QQYmkw6pSIhMdty6Ekb+GHE6YrNlsEM71vXw+mFNuOVNmuLFj1pnX1na3h+yL7xGrW2BxKEMQRBTMcP2NCbWXH8LvxVp5jW2TteveK0nLd6rQiCIFyOCO4FQRCuATcIefnEAkEckdZVtgxmV8zVj6KYf/qZL9JafG3blhEyvT3MtzoUFmd/lwK9C38J0FSZRsdnruUShjE5DYbyKV46scC963swdYWJqsNUzaFoabhBRH0x6NzYn2ZjXxbimLYb0J9JIcUSNduDGGRJQpUBZAxNQVNkimmNXRsKHJpqYOoqA/kUrh8RRBKyBP3ZFH4Uo8gSKU1OUmwkMA2ZuuPR8pKUnpbjMxXFFDMad68tosg1yk2Zjp80uppve/RaRrIOQJGpO0mH1mxK483pBjXbY7beYaBg0gk9dEWhagdoik8xrTOQM7A7AWEcU24lqTK9GR0vDJmsOsRIzNRsOl7IQM7g7tEie8/UsN0QTVHwo7ibrlO0DEBKSlQu1v0/fwzuGS2wb7zW/VVno5Tmq2/MYvthd4xXKwm95N1a1yEIwq1PBPeCIAjXwCsnKyABkUTbDTlwtsb9Y70Xve+/ffE7PLPvFACFnMUPPLaTw7MtOn5IrifNjrWFbqB34ezuyXILU1dJqTKSKhMDbTek0vaZqNpJUBlDo+PTcgPSusrusR5ePV2h0vbYsVZhrC+DE0SU0hq6KlGzXdpeiBuE6KpMKa2zvifN7cM5JqoOe89UKKUNHthY4kzF5m/2TeGHEX1Zg4c29XJstomuSMzUO9h+lKTWZFOs70tz8GyDThDRn0+hSDJnyjbNTsD6ngz3re/lzEKLobzF1w9Ngwz9OZ2+bIpKq8P63hKHp5tM12yiGFK6SquTpOrcPpyl5QZsHy7gBSExMFFNGlv1ZQzKLZeOH9ObTjHdcDiz0MZQFYYLJhMVB0WSGSyk8KOkoZYXRCiaTCGlE8cRUSzxtwemWVNIMV5xGMqnyKU06rbPvvHashn2z3zlMMN5E+28NdCmcfkUnXdrXYcgCLc+EdwLgnBDu1k7d9Ydjx1r8hyZbXYbSF2Yq//m+Dz/4rNPdh///I98gL68xVzLx9AUHrtjgCCIu4HehbO7VdvjY3cOIUtwutxipg25lEJfLstM3aHS9jA0mY39yaLS2UaHfRMVBnIGEjBaspAA2w+ZKNvMNB029eVQFHhzqkFKl9nQm2asL8NLJxdoOQE5U6PScvny69M4fsRwIUVP2iCKYiZrDn05k7oTYBkqKS2i6fjUHZ/T822G8gY1x0dXZGqOT85MKtdUbJdwOiZjKYxX2piaSn86xZbFhli3D+fZ2J/mm4fnKbddgkiCKMZQJXqzKYqWjibLtDoBhbSGF4QEQcyGfou5ZgfbDXD9mIGCThyDIktkUhpIEmEcgRQzWjI5Md9C1ySGzBQNx+fEfJO+rEHO1HEXO+O+dqbKG6rExv4sENPsJGsTutellMzSt203GaeUfskGVud7O+s63CDipVPzN92fDUEQri0R3AuCcEO7WXORl2Zitw/nF2ditWWBVxTF/KN/9wQdLwkO77trjBo6uSDkh3atRVNlbDdYFuhdOLvbl00RBDEf3THEqyfLfHmhSrntYXghkpRUafH8eDG4jDE0mZyhM1pKoypSksuuSvzRi6c5Od8mDGPoj9m9oY8ojgnDGCmWePLgDDXbo5QxcLyAuhMhASlNoTdj0uz4pA2FozMtdm8ooaoSm/syxHHMvokazY7fvRkptzxaWoCmyGgKlFs+rY6PKss8fFsfY2vyfGBzH0++OcubUzX6cia/eO8mfv/5UwzmUzQ7HnXbJyLGUnSCMOJU2Wa0mKLlBdw+nKUna2BoCgcn6gxkU0hxEgirkkRKlZBlhbypEUQxcw2PjX1w90iR43Mt6k6ARMzm/ixuELJlIMfZapuxvizH55pUHZ+263Nsro2uwKaBLN86Xublk2XuH+vlzpEC+85UadodADKWgRuEy8b+Ujesb/W6fvV0hZYb33R/NgRBuLZEcC8Iwg3tZs1FvtxM7H/9q1fYf3wagFI+zfd86C4MQ2XbYB5LVy9ZIef8bf741nXdfO+67dNrJGkoByabEMes77cIQxiv2GzqT2O7ITEeuiZxx1CSQ/61gzP4QUze1Cg3Oxw82+BspUPO1MiaSdBYd5KurtW2i6YodIKQ2waz9GYMxisOzcWAN62rVByf+UaHsxWbjJ4E0GlDww9i3DCiN6MTRjGzTRc/CDF1lYJp4AUhB6ebFDMGpxdsNvRYPLCpl9cmqvybL77BZNWhJ62RMTRqToAqyWwbyhGEEUN5k91jPRyYrHN0pkXtdBVFgolqm4FcighYWzSZrnfoyabwgmShsCrJDOZT7FhbQJNldqwtULM9dFWGWGKumQToMRKtTkC55S12y/WxPZ92DKfm2kzVHO5cU6Bu+1iGgqUreIs3baWseVHQff4Na7nl8rnnTzFaMt/y7HvN9skudsK9mf5sCIJwbYngXhCEG9qNmot8uXSh1WZij04s8Gufe7r7+Ae++30YukZaV1BViZdPLKy43ZW2uRTwzzZddAUabkBEBBLkUwZRHHFkpsmhqQDHi8imNM5WHMZ6MvRmDdwgIopjZFnCj2LCCFpugO0FLLQVhgoGiqxTabsEIcSEGGrS+bY3Y/DCsTJ+FEEEKU1m33iFhu3hBCDjoauQ1hXcIKQThORTyeJiU7M5NtcgDGPqTrIguOa4TPSkGV9I1hI03YC26zPf8AiBU2WbgqUyUjTpyyQVcI5M1zlZbnNgskZfxmSu7ZDVNNwwRFNkbD9ZNOsFEaM9adquT8sNuXskx30bekECuxOi6TBatNAUmXYnABk+srWfwzNNRosWOUsjX1XRVZnRksWpcgs/iFBUGduNWGgnnWZtLyCjnFtA21/MXBR0n3/DOlGxqbY9bhvIvuXZ94Kl0bqgsZYgCIII7gVBuKG93Rrz19rS7KuqyLx8coGXTyxw/8aey868xnHMz/zWl3EW68g/sHMzqXwWSYItg1leG68yWXOSWuyKjB9GPLS595I3Ekv70ZvVKZdBDmOG8iadIEnNOT3fJmdqSeMp2afm+BiqxHSjw8fuGmLfeJX5VidJdYlAVZOSk5KULK4dLwcYmkrLDZGIsRSNLX1p5hsex2db5FNqMts+32a67iJJEsFioZgY8ANYaHuoskTW1OjNpDg81QBJWmxaJeMHIUEUIskKe05XUBWZnkyKuu1xaLpJTEzaUIljyBgKpUyKo7NNzlYc3CAAXCRkLKON7QZkUzpuEDHWn8b1IoYLJgcnGwznTdb1WLQ6Aa+N1zg+a5MxZfoyKXRF4c7RPFvTSZA9Xe8QRBH3j50b06cPzbLnTJVT5RYpJVls7AYRpiHTk9a7Afb4ecF8IZvMyJ/v/BvWqu1RSCevv9XZ93vXl9g70bjh/mwIgnB9ieBeEIQb2tutMX+tLc2+HpyqE4QxSPEVzbz+xbNv8s3XTgMwUMryv//YB/EjmG50CMKIyZrDQDaFrip4QcSeMxU0Rb7kuoOl/fjQ5j7OTkzihCHrShnW91rYXsh802VNIcXphTZBlJS9LKV1JqttPvf8KfoyOpauYmoytifh+RFtL0CWJKRk3WpyoxDHyJKEpcocX2jTm9aptJKgcqbWQZUhiiAmJgIUICIJ8IMoZm3JZKw3w6lym4brkzVU7hjKc2CqTgRIskLJVGn7IXEQM1VzkCVoez4lyyCKQJIipusuuqpSbnZw/YAwgiAGiPDDCEkC2wuI4phjc01GCmnuGMqjyhK6KvPi8TInyy0kCYqmThDF9Oc63Lu+xJGZJmM9GXIpDU2WyVvasrF8aHMvmiKzqT/NiycqmKpMIa3jBSGKLJG3NHaPlTh5aqr7GcVIymWe7/wb1r5siqFcCuAtz74bqnxD/tkQBOH6EsG9IAjC27A0+7pUCSetq5edebU7/vLqOD/8IKahYQKaKvGJu9ZwaKpJEJ1XFz2WqDseqirzxlSdtpfkmy/NJp8/C7y1AD3r+vFDCYj5wOY+sqbKm5NNFto+Hc9HkmXGy21OLbQZyDboy6RwvIiejEFP1uDobBM/iLB0DcuQCUOIiNF1jTAKk9SdMKKthoRxRMcPcLyQCChYKn4Y03CTXw2kGBQJ0obKSD5Npe0xnDfZ1J/h6EyT/ZM1IFnYG0YRsiwTdEL8IKATROiKhCLLSLKEIkmEEVRtj5Sm0HAC/BCWqsnLQByDvLiQ2NRVwiiiaGlMNzpYhsr+iRpnqza2F6LKEguhh67JSa3+EI5M1QjCmKOzDRbaHnldw48iHtrUu+zXGE2R+ej2wSSlxw2W/ZriBiF/+cqp7nslTeOPXjrDpz6wYcX0qmXpXWL2XRCEq0AE94IgCG/D0uyrqiQFzbcMZi878/qbf/ICE3MNAO67Y5S7tqwFls/Y7tpQZM/pCl4YoioSu9YX0WSZl0+WF9NdJJDhG4fnODHfZqbu4PgRu0byVN2YO3Imcy2PcsvlKwdnkgWgrk8+pSBJ4PkRuqbQcFxqtkSrE5I2VGptj9uGcgRBjBdGOH6YBMcplQBwvYh8WsV2QwIZ/ChiU3+WStujtdgwqi+dIo7jxZlsmSCKMDSFoqXR8Hxs10dTZKpVj/ZigJ0xNBw/xHEDSlkDQwUvBD9MmmEpkkRvVidv6JxeaJE2koBflpIbmCURkFJBlmUyhsZALoWhSewe62G0ZOKHEc8fnSeMQZWTMfPCCFmRsPQk6G55Poen6yy0fVw/RAK+farC4ekmQ3mjO1vfkzUYLVr0Zg0+cdeaZWP8yskKp84udB9bGYv5RueSv+jcqL9MCYJw8xLBvSAIwtuwFJRd6ZqAU9NVfvNPvgWAIsv82MfvZaKWNETqzRjcM1rguaPz1G2PtKEte/7bpyscm22hKjIb+5M0ky/vn6I3nSJv6ihSQLnl0mvCTMOh5UUcm21Rs10yKZ27RvJU2j4N2+dkuUlaU6jaEo1OgCbLrCulaXsBc40OLdcnZ+qMlizmmy6KLFFK6zTdAEUCKSMTRxFhHGNqyULOYlrHC2MWbI9gMeffDkLCMEZRIIyh3HAJ45i261BzfDp+0q1WliVSskJvRmcoZ/Ht02VUSSZjqmiKjBtGFE2dzf1ZVFVirtGhanvISowWgQZ0wuQXAk2RSadUNFnC9gL6MhaHZxs0Oz41J/mFIZ9SMVWFpucTRkn1ns39WabqNqauUnN8vCC54cmlNCbKNv25ZPHufMMhb+noqsxz5XkKVtKc6vw1EHXHY75ST8ZZkdFSBoW0LirZCILwrhHBvSAIwjtwpTOv//KzT+H6SRLJ931oO5vW9nDgbI3jcz69GYNvn6pguyG5lI4mK1hGEix+9pvHAdg6lKPpBKiyTBDGuF5Epif5KzyTUplruqQVqLR96p2AZicgZ+p4QcRUzWG4YOKHIXlTTyq66Ap+GAMxJ+Zb9OU0/CBJbZlrdgj8kLobkDU11hoK63osdFVm1/oSr41XeXOyQcP1abo+wwWTqu1Rs12iWKLq+KiyRNpQ0dRkfzVVotJ2UWUZU5Nx/WR2PopjbC9AVSQyKYVsSqPZCajZPkEUYWoKmwcz7FpX5PRCmygGRQZdVkhnZDpuQBhFaKpMSlMwZJmd63voz+pMVGx8H2YbLgVLI2tqxHGM4/sM51LkLI3tQwVmmg5rChaKDC+fTMZBkWVUWcINA2qOzETFxg1iGo4PQN322dCbvmgNhKFIlCstAPL5DAUrmeW/cFGtIAjCtSKCe0EQhHfgSjroPr3nJH/1/CEgqZ7yTz72Po7ONBfTbJKFuIdm6uwcTWb9TV1hz5kK2wbzyWJdJBQFimmNqu2RtzS2j+SptnwyKZVWJ6A/a1AK4CvzLU6WbWRZIpY0dEVmpuYy2mPxA/esxQ8j/vI7Z1EUKekWK0vYQYjdCTENNcnh7/hM1pNa954fcnK2zUzN4YfvHeWJvWc5W7ExVJk7hvPIQCalUWl5LGa74HgBQQSuH2IZKr1pA02VaTg+pqZSyiQLWcMwxvVD0rpCRleptD0yKYVmJwnsJSClyrx6qkIYxoTR+R1hezg006DZCbEMhY4X0nAiFEnGVGUsXWWoYDLfdDk22yRvJueikDYopXX6ciamKlNuuzQdnznFZShv0Jc1CMIIWZKIgLYXMFPzFktrSiDpxLZHKW2woS/NifkWNTuZlb9ntMDxyQWiOEkX2rS2hw9s6aM3Y7xrufQ3a0dnQRCuHhHcC4IgrOJywdJqHXTdIOTF42X+6f/15e77f/aH3o+sKLS9ZCGuZSQLcYklHO9czfIwijlZbjFRdYCY4YKZVH1RZOpOUhf9jajOmxN1Gq5H0dI4NgGjgxJrShZTNYe67bO5P0smpXDf+h4e2TYAgKWrlJsuTx2axfMj1mYMbD8gDGPOLNhE0WLte0lCliWGSyYdL+C/P3+SphPghRGWLjPXdOnLpZhvukmJTU1BkyRqTtCdYXf8gMlayNbhHCVLZbrhstB2CaOIoXyKNUWLqXqHhuOjyBJtNyQmRpXl5GZBlpipJznrsiwRRjExMXNNj5yh4XgRthckNzNxjCTD0dkmh2caSLKUBP2dgJrjkzc1etMGfTmTvqzOTL1Du5Osd6i0kuo760pptg3l2D6c59XTZV452aHt+4vp/TJpXWHnuhJDuRQn59vU2j7FdLKo+Y9eOsOR0+XuWN972zA/uHPttb9Iz3OzdnQWBOHqEcG9IAjCKi4XLK3WQfeVkxW+/K0jjM9UAdi2vp//4x+9n1dPV1ElGWS4bSBZiLtrQxFi2HOmstgd1SWjh6zvSXN8tsVUrUOl7dFwfN6YlBkppbF0hU2DGfaMVxmvdJi2JdozLTIpDUNTMFSJu0cLSYMkx1+s014hjGLmmi6eH2JoCj1pHa8eoevJ4tIojrF0jZbr49sRkxWbMI7RFJnejEHNDvACGV2R8EMHU1cY60szW3PxohhZDtAkmSCGbEqjJ53ktb96OllQG0VRN5BvdQL8IKaUSZpiTVZtgghURSIGau3k/HphTEqWqHtJdZogjNA0maKlIQGtOCAGSpaOF0ZIkkS95dLxI4IwIm9p2J2A2SjG0GTWFlPU2x75tE5fJoUiJV1oVUXqjslkzYUYipZBTNKj4LaBHJ/6wAZeOVlh/2SNrJV04T0wVePUXJu56Up3/Af78hddT9d6Zv1m7egsCMLVI4J7QRCEVVwuWFqtg26l1eHPn9zbffyB99/O1w/Nkjd1fvbhjewbry1biPvKySQVx9QVnj3q0+wEmLrCHWtzOJ7PyXkbVZYJo6SzqR9GaEpSmz6MYqIIbC/ZFymWyKV1bhvIcmCyznjFBmIGsiaKnASyt6/No0oSbS9guJAia2o4XkBKVzCLMnvGq0lJSkkijqETRMw1XRRFJohjpBAyKQk/CNHVFLafBMeGqqAqUtJ1tu0TRTEtN6Rg6vhhREsK6XgBQRTTmzaQFYl2J6DqeARRTBRFIMl4YZSc45SCG0LF8bH0pGHUYDbFcCnFXMPl9fEqpiYn+9fokE9rbOrPAZBLxTSdgDiGvlyKtJF0vn1zqkGIRMZQyZkqd6zJkbeS+vZLY7KmkMIPI8pNFz+KUSSJXRuKy9ZZnF/FyNBl9p+Y6Y73nWMDF11Pr5ysUG66jFdtau0qBybry8pkvlM3akdnQRDePSK4FwRBWMXlgqVLVctxg5Annj/E2bmkcsqGtX1sHO3H1FTKLZc/eukMoyVz2ezt+TcSvRkDRZK4b0MPjhdyaLqBqsiEUTKD3vGSwN8Nkk62ncBDV1hMZ5EopDWKaZ2/2DNOq5Pki0/VO0ymOgyXUlRsj32nK/TlTDKGguNHbOnP4g/nODTV4NBUA02WiaQYVZHxwqR2fRDHeG6AIoNpqpTbPhlDxnZD+nNJs6lqq4XjJVVyFAmiKGLv6QUW7KRCjakp+FGynVPVNh/a1MeByTquH5ExNfwwQpVlsikVU1fpeAGWodLxQuI4Sb8Z6UkWwG7sy9AJQo7PNqETkjYU8qbG2YrNul6LuUYH0Gh2fLKmihfE7FiTR5Ektg7mmKjauH7E8bkmu9aVls2k+2Fy07TQ8oijkPUDOe5bX1o29t86PreYOiUxlNOYmErKYK7pz/PdF5TJdIOQl08scGqhDcSs700z37x0mcy340bt6CwIwrtHBPeCIAiruFywdGG1HDcIee7oPN86Ns/fPnug+/xdd29ix9oCAKcW2hyealB3PCRg30SVsd404xWHoVyKnKkxUrJQFRnHD8hbOrs2FPHCiNfPVrHdkIyh8P271nByvs3+MzWajoehwLq+DPeMlphtOoyWLE7P22BITNYdwhCqjke8AMgxYQyVlguxTial8vzxMkEUU7M9vDDCDUPcIMYNkiZVcQxaHKPIEIQkM+KArmjM1B3WlkzKTRdDV3AWO0ypCjTdgLYXEoQxQZTk4Wsy6EpS7Waq7tCTMXDcgLUlk4mKQ8PxkaQkeH9tvEq50SGMAT/m1HybUlpn23COctNFRWZDT5rxqsNsvUPTDSiYGnlDZWysFy+MmKzajJYs3CBZdGsZCjlTw54NUGSJIIqTlCgJHtmazLg/tLmXwzNNtg/nKKR1RosW+8Zry66JhXaQlCS1NPYdmiBcbED2ifs3XTQb/8rJZPueH6EqEmfKbW4bzF3V1BlRN18QBBHcC4IgrGKlYGm1vOmlHP29b5xmoZqURLx7yzDvv2OEIIjRdDg82UBVZXRF4cR8iyCIuGMoz1A+xXS9A1LMdN1lKJ/qbh/g4GSdgqlTtCRUWeLgZJ37NvSwfThPpenw9Cuvs3a0gK5JrCmY7Fhb4HS5jarIKFJScafVCZAXg+bRkoWpqzh+QKXlsW+8SkqTcfyQjh/h+zGyDEGUrCdVgLylUl8M6hVZQgK8IESTk9SaGDBVlY4fdm8CFDlpMqWpMmEQQZQE9jExXhAz3/LIpVRsP2BsIEMYQX9WZ+twnjCMODBZRw4jUosdYOM4Jm2oeH5M0w1ww4BDsy0abY9YiglDcPyQmuNTSOvct77EfQ9v4tunKjyx9yxuELF1MEfD8ZmsdRjOm+iqghdE7DlV7Qb3hqowWjK5bSALJI27Xj6xwMsnk0WzO9YWMDWZVsfHNGSmZ841r3pk59hF11Ld8dixJs9UzaHp+CiyzEhJlMkUBOHqEsG9IAjCW7TaItu646ErMt98+VD3/T/82E52rSuhLVa6MXSZgawJJLO4hpbUkMylNDRFIm8mte5NXVm2/bHepIHVwak6tpsEufZiKcjerMGABQ9u6uGBzf28crLCTMOhYvucXWgnNesNjfW9FmldpeH4TNU7BGGyqLblBlQdH+wYmWRBqx9K6KqMqkgEYYTtRtTaAUhJwO4GyXsVJelKO9d0GcynaHU6mJpKGEUgSUndeCnpOBslafS4YYTC4i8JZVjXa5ExNKaqDpIkoSkynh9y34YeDk01OF22QQY6MTLJjYRekskaKjERrh/gRxESErEMthtweKaFH8QYmsJDm3vRFJmPbBtgomJTtT0mqklloKNzDTpeiKkppA0VNwi7N2vnp2UdOFsDSeqWJz0606Q3Y0CcVCA6dHIaAEmCh+9ef9F1s7St775jkAOTdYh5V8tkCoLw3iCCe0EQhLdotUW2eVPnr775BuXFWfuN6/p5cMfostl9S1fZc6aKF4SYhsyaggXQzem/1PaXgkPbTcpopvWkjOa3Ty0QRRGvLUhMvjLO/qkm//TBDfzGl6ZQJYmMmVR0kSVI6yptL6Tjh0xVbVqLTaBUVSGlSgQhBGGUdIk1kso5fhARE5NJKdhe0ogripM0nRBIKTL5tIGlKWzsT+N4IW4YkZR7j4nCiBhw/SSy1yWQ5SRIVgDLUJmud8gYAZossa43w3ffMYgfxhyeaWLqCrIsYeoyEknTrtzieXKCiFYnpJQ2FvdTpu0F6KpM0/Gp2B77J+q8cLzMnlNVgjgiravsHuvhwESdkVKaV09XWGh6yApsG8zxwrFyt2zo+Sk4ADvW5Dky28R2Q9pesJi37zBZbjIzn6yv2DzSR0/euui6OX9b94/1iBr0giBcEyK4FwRBeItWW2R77/oi//iZ17uPf/Lj77vo80uzyHXHY/dYD0jJTPP5VXNW2v7usRIvHC8zVXNw/JB0Klmce3S2RS6lEIRwesHh8EyLiYqDLkvcPVrk2GyTXEqj7QbcsabAs4fnMAyZkmUwCOwbr2HGIQXLoNzsEAE5Q6Mvr1NuuLTdCCQgjpAMlSiKiSUwlaThlKmpi/uvYbsR/+v3bOXL+6dw3IiT8y16swYNJ0AiJCKmYBlU2y6qAoai4Ach9Y5PEIZkUjot1+eZw/OsLZkcnmqwpmAy1/Tw/ZBSWqcnY9Cf1bF0lZGSxdcOzuD7EUEEURziRyCHMZol4QURDcdjz6lqcgxRUoIzmYWHu0cK7B2vkLdUNEViKJ9iz5kKD23uXZZ69eHb+hmvOLxycoGMqSIRo0hJadAHNvbw6sHT3fE1slmePjzLQ5t6lwXvIh9eEIR3gwjuBUEQ3qLVFtm+sP8M47M1ALZvHGL37aMXpe5cLsi71PYNVUGTZT6ydYDnj81TaXvEi51gD9dsWg5Y+ISxxCsnysTAbQMZTEPDUGRkQ+XITAPbD4gkhUrs4gURkgSSLBOGMSlNQZMlFBkqraQJ1kTNoe0GKLLCuoLF2bpDIa0BEpM1h1bHZyCXopjSMDQ5CaIBiHGjiHxKxQ9j0kay0NZQJPKmhhfEyHKME0TIQNuLaLkOCy2X4XyK47NNUrrMpoEMd43keX2iRtHSkSWJMIYjMw3aXkDd8YmAvoxBJwjB8ZAkaDkBQRCTMRSOzNa5fTiPIsu4fghI7FpXwnaTWf/ZegeQmK53GCmZF6Ve/dFLZxjKpwjCiKrt0ZdN8akPbADgc8+f4q+/dbQ7fqNre9lzuoImyyKYFwThXSeCe0EQhLdoteD8d594tfvfP/iRHcCVNxNyg5AXjpW7jax2bSh2A/vnjs5TdzwOTTXZMZKnlNEJ45gz823aXoDjBdg+xHJAjESsqWiqRMMNiGKJWJIwNIV6x2e0aPHaZA1ZkihaOn1pDTeMk1QaKSZn6cQxzCwu/EwbGiVLx/FD6m5AKaOzfTjPTMMlrSscnW2R1lUKls7D2/rZP1FLKtP4Ecfn25xZSBb1pg0VS1dRFImMrNGIPVRFxQ/CpKZ9DLqqULcDbLdFMa3Tm00xUXEIo4j5Zocwiqk6PnvPVJGIGV+wmW24+FFIwdJJp9Skxn4MQZhU+hnOW1i6RtMJKaY1NgzlmK53qDse03V3sQ6/j6HKHJ5pMNvscHK+zdahLFsGspwst9l7psI960rcNpBFW6xiZKgKzx2dpz+jc2ZiDgBZltm9bYQgikUDKUEQrgsR3AuCILwFq1XKOT1T40svHQGgr5jmnttGgHO59Ct9FugG9OMVhyCMiOKYMIwZr9pAUm/9y69P4XhJ+sqJcotyq8NC08P2QlKaQsE0sB2XphthqDJRHKAEElEuZmN/Gl2VefF4UuUljmOyhoobxGQMFV2TGDA0DFXmzbN12l5AteUTxUnQi5RUxPnojuGkQo4E4wttkCTShsr71hdpdwLcIORL+6bQVImP7hjimcPzSCS194uWjiJLSUdZSaLtBuQknZlaB4jxA1AUaC/m9KuKzFDepOb4nK206ckYuEHMifk20uI46LLEgiwTA5oi05MxWGh6DOZN4hi8IKLccunN6vhBRMZUqNpeNw2q7niosoQsweaBHHMNB9uP8BdLVR6eanG22iGf0iilDWptnyOzTTb2ZrqpUnXH4/TZMo7jAjCytg9FVVBlLqqCc6270wqCIIAI7gVBeI97qwHXapVyPvs3ry4uIoWf/b73MdnoMDNRxfEj7ltf5HPPn2IonyKX0rqfBdhzpkoQguMGnCq3KaZ1BvMmjhfw7ZMLvDZepeVGpA0F14050UoWmXbCkE4QIslJ9Zq1WRhvs9jYSqLP1Dm70KHWnuO2wSySlDTBmmt6aKpCx/dR5CTQ3r2+l82DGV6bqFFte0QkFXMkScbSVGw/ZM+ZCqoisXO0wGzTxfcjNE3GDyIWbI+ipZHSZCRJ4q/3TdJwfFKaTM7UyBoauiZTsDQAWm7AfLNDEEfoskxIUsJSXkrpiWEglwTpfRmDfFpHkyWIk/r8wWI9+VQYM5xPYfshBVNjIJdipGgyseAw3eiwppgijkGSIYrgI1sH+NaxMuNVhzBKKvjMNDrs3tBLGMX4YdK0a31PmtMLbSqtDut6LHauL3Bqvk3V9shbGveMFnju6DyHphv85bNvdK+P2zatQZUl7lybxw8jvvT6ZPe6Wu3aEQRBuFpEcC8IwnvalQRc598AHJpusGNNAViebuO4Pp/7u30A6JrCzu0bkNWk22qt7TNRtTk81eQNVWLLYI7bBrKUWy7H55ocmW6STqnomkzL9fGjmBjoy+pMLqbGVOyAiUpIEEX0ZQ3yqkJ/JkVT9YmimGYnQAlJAuCkICStTpKGkjFUXD9CU5Luro4bdOvFj1fa5BdTbp4+NEvHDwmjpBpOEMVIhMy3OwzlTHrSOqoi850zVWq2T8HS6bg+X/niswA8+OiDLEgShgzlpovthkiAqcs0Ox5+O8b1AuqdgFbHx/EiVBlUVUYLkwWxmpx8tyKB6wUYqszYQDopG5k18MOYjh9gasrijUBEywvYPJBlY1+aXetLaLLMTJ/DX+6dxFAlnCBkpJSBOFnP8IVXznB0ttkN7vMpHVVJ6varikxfxiCMYENvBkOTsd2Arx6Yxg9jtq/NLwvUtw5kOXjkbHI9GCp/8svfRSlrJmlUF1xXq1VZEgRBuFpEcC8IwnvalQRc598AAByYrLNztLisks2fPnOQSsMB4Ec+fAeypmJqCrYbkEmpHJ9roaoSbhBhuyEHJuukjWR7uqbQ7gTUHJ9MKpnZDhdrtocRVN2QupPMtkdRjBtERMS03IAojjF0BSSoNsDQFSI/Ql6cAs+mNExDRlGSrqz9OYO67QExlqEBMdmUylTN4c2pOmEYoyQT5MSAKoEuy6R0hcm6Q7PjUWsHGJqMLEmMFIzueXL8pBOtIstkUiqWruAEETES9Y7PmoKJF0U4Xogfxsm6W0nC0GQ6Higq9KYNqrZHCEw3Orx/Yw93jxQ5cLZGfy6FLEmcnGvghxGqouBFSY19RYLbh3L4YdKIarzSpiet05czmG90mKzZ3D2apEGVW+5iYC8TRhGKEnP/WC+b+jtMVB1sN0CRYde6YpIStX8a14/QNRm7EywL1F85eBa7k1wz996xjoPTLXabK5czXa3KkiAIwtUigntBEN7TriTgOj9Q27G2wIGJOo4fLKtk81+f+Hb3/Q/u2oylq9huiGWoLDQ95psdMoaKF8aEcYQaKwzlDUw9jSJLHJ9r4zZdHr29n+mam+S9tz1uH8qhEBNLSSOpYlanx9KJo5i8qSVNlIiZb7rUGm06YTLrH4QxqZTEQC5FFMecmGuSS+ncM1qk7QY0nIBgccZ/vumiyjIQE5EE9UmnWYnBfIqcqXGmbJM2FNpejESMH4RUWg4L9Xb3uJ2OTyeIkaUwaUIVJLXu7xzOc2SmgakrnDjbQpIlNFmimNFpOj4pVUZKawRBTMX28YKYjCHjeAGvTdSo2T55S6PSdskYCk4QE0agKWAoMtmUzke3D3OmYtN2fYII2m5A3fU5NtfE0lWGcimGcileOVkhb2rEcdI1VwbypnbJ9JgvvT7JcCGFriSpWl4QLgvUv7nnRPe9j9y7uTtLv9J1tVqVJUEQhKtFBPeCILynXUnAZRkqe05XCKIYVZbYtaHEI1sHuq8fPDXHvmMzAGwZ7WN4oAQS5C2N0ZLJ2apD3tTQVZmNBRNDlbl/rAeAuu1z19oiW/pzjFdt2m7AYD7pXnuq3GTBcTENlayfdHvttXQsXcHSNNwowo8iiqbOTL2DKkMQRYSLaT0715WwdJVT803Shkp/3uDgRB3HD/H8kImqs9hIS+HQdB1/sSRlN+8dsN0Q2w3o+CFI0PFCimmdl5/61kXn6dDLe7v/vf0D9+GFERJwotxC12VOl9tEcUwUxESKhBbKGJpC0dKpOT4dIkI3xNCSRbKOH3Fktsl80yWlKaR1hboToMhS8quIH6FFgBRj6gozdYf5pst8s8NUvYMmy+RNld60TkpXyJkadcfjzpEC+ydq1GwPL4hI6yZPH55NavVfsO4ib+qoclIvH5KFvkvvee7IHN96/RQA6ZSOVchxYLKGqkj87Ic3sW+8tuy6EnXuBUF4N4jgXhCE97QrCrhigMVcFaTFx+f86TMHu/+9ZdNaTpRbjJZMfnBnUi1HU2RUWV7sbBoAcM9ogW+frnBoukEYh1iGxlAuxaHpBgM5g1xKY/NAlmcPz2OoMn4Y4/oBJ1yf9b1p6o5PHEMxY2DmFGw/oOFBLCddXyUJXp+osHUwT4xESkv2OyYJ2OfaHiExSEk1nzgGP0wW5sqSREoFTZXpBCFuEGHqCpahEsRXVuKxE0bIMfTkDBw/TOrOd5JZ9QggjPGjiJQqE8UgSRKaIpFOqciAH8Y4fkgQRnT8kIWWi0SMF0AA2EQYmkwYBhTNDA3H51TZZqLSxvUjvDDAiSV0NbmB6EnrNByf6UaHoZzBq0GMqamMlAyKls4Te88ynDdRFRk/jJZ1qLX9gC+/NoUbRGxfk+ee0QKGqlCZXcBxfQC2bhomKfST3BntG6/xwS193fUaT74xIyrkCILwrhDBvSAIt4xrVWrQ9gJ2jhaXPV7S8QP+8GtJR1pJgru2raXW9tEUufuepRSN7cP5xRQNLZnVtX0MTebgZANNUZK67F7IVN3B0lWOzDRZ6Hg4nSBpNiVLWJqMF8R4foRpKDQdn5MLLcLFdByZJFCOianZPkdnm0lzJz95vdbxkCUJS1UwVZmpeodoscTP0qnSlKTEZcHSaXsBQTvJ0W84PlEYEsWwafc9IIGpSBz4VjJjf/v7dyErMn4QEkuQ0lTCSGIwZzDT6KCpCrrKYk37JAXICyPGqw45TaG5mOueTJInqT+WrtAJIzpBkqO/dF8VA1EYISkq37Wtn7/Ye5YzC21qtocsS8gxaJpEavFXgOm6w2zTZU0hxVhvmk39aQpWUq//L/eexQtCdFXBCyL2nKl0g3tDVbA0le++YwhVlThwtsZnv3mc+8d6+a9/fS4Va+cd60GKSesqWwaz3RsgUSFHEIR3mwjuBUF42260ut2rBVLn76tlqBAnQfqF+73SMa2Wl/8/vnmEyfkGAMNDvVScmNsKGkP5VPc956f+WCkVP4x4/tg8dSeglNaQJZnJqs1cy6VoahybaeF5EbqmYMgSDklzJ9cP6YQRlXZSUz2II9aWTCarDo4XosgQAlGcLIotpg1UWabZ8Zltupwot2CxQowfkqS/xHF38axEUms+a+r4fsBMvYMfJItfNVkljEJ0TUNXJOIYaosLX5dExARRjKwoKLKMrkCz45ExFILFFB0/TNJbghAkQnwgiELsjp/kv6d11veZZFMar52pEYQRthd11wHIi/+vAKWMwYe29OEEMU0naUIlSxKKlJyvdEpFXey2u6aQJiYmjiWOzDbJplTeOFvHdpPj7M3ojFfatN0AU1dxg7B7TSytuXhjqo7rR0zVHU6eXeBbByYA2Laulx99eBsNJ7joGhEVcgRBeLfJl3+LIAjCyrrBtKYuq9t+vSSBVBKQXRhInb+ve05X2HOmuuJ+r3RMu8dK5C1tcRGtxu6xEm4Q8tzRef5gcdYe4N7t61nbYzLWm1lc6JpYSv35xF1rANhzpsJsw+X4bJPpmsNC22Oq3mGhkXRLjeKYctslpcrEMRiagqHKKItBdbS4YLTSdjk81aTS8jA1hbQChipDDJmUhiZL+FHEVKODvFj1xgtiHD/qlniMFhemarKEDAzlUliaTL0T0OgEyeLVOPm+KIqRiJAliImRFVCUcwn6wWJ6TRQn24viGEOV0ZQk5cbxwmShr6qgKiD//+3deXxdZ3no+9+a99qjtgZL8iDbsh07iTPZGUkChIAZwthTWjrQ0gPcQ4EWLu0ph/bcBnob6AA955QWWtpehpYCbSktMzFDCIHESRwncQbHg2xL1mBL2vO05vvHkrYtW3bsxI5t6fl+Pv7E2ntp693r3XKe9aznfV4tzqorSlyqkzDjHWx7MwmuWZEnlzTR1NlCl1g4819FiXvlP36ozMP7p6k6PmEU9+ZvugEtL6DDNunJJBgvtfjpvknueWaSB4ameHq8TNMN2l2G+nIWxaZLveVj6irLcok5n4mcbdJ0A+quz1i5CSg8+sT+9vPvfeP13Lim64TPyLHfCzObmdnSIUcIcW5J5l4I8ZxdaFnJU2XYjx2rH0bM7jZ1/Ljne0/z1eXfu3uSI5VWu8e5qipsXLcMXVHnBHfHe3D/NCPTjbgEJwh4cqzCpX05pmsOQRgvIFUVhWorIJXQ8SMIwiguadEUEqZBEIRE6ERROBPsR+haXFaTtAyipMJAPsGuI3UIQqIwwjJ1/DAiYcZ3ADRVwTRVtAh6O2yabkDDDZiuu+2MtTLzR9cUUCBpakRKXDbT9AK60xaVps+am66NF+Kq4PkRihJfDORTBv0dNjXHxwsi7IRGGES4QUjC1FGV+I5Aw/NJJwzCIKTcdNl9uEal6eF4Ppam0VBCgujEc6mrCuWmS6XlkU8aTFYdFOKsfUTEeKXJkqzFdNWh6Qf0ZBJUmz51p85E2WFld5IgjFjbm8H1Q9b0pElaOut7M3M+E7N3XnRFxfcjluZMHnnyYPwZsQzeuuXKk67dkA45QogXmgT3Qojn7ELr232qQOrYserqbNjKCeM+3fdUbrr8ZOcw1Vrc276/v5vujiQbl+coN912xv/4MqXRQjPeUErXsDWNUt1HUeHS/iyHKy0myk1MQ8MPQx4cmmZdT4pc0qTccAkihddf2c8XHzzIWLGJphrxAlnXB1R6ErBqeQcvv6yXf91+CM8L0DUN21Bo+QGaouB4ASFx6Y6hKOiaRkLXSFsGGUtnx3ARRVEwNRWHkCCMF9iigKVpqGp8ceR6IcV6fCFkGyrlpkfLj28HW7qKF4bUnIBKy8cLQjRNxVZVVBNMTSWIIooNF98PUBUIwxA3CDGi+LU6UgYJU+NwuYWighocbV0ZwcwC4BBLN7F0lXTCoNr0cPyAlV0pUCKqDY89h2vkUgbNUkC15eOGIes6UzT8gHLNgwg6A8gmDHQtvpuxc7TM5pVH11jMBu43DHby9z/Zz9fveRzPj7Pxr37RBjJJ66QlatIhRwjxQpOyHCHEczZfucr5dGz5y4sv6ZkTWB871s2rOtm8Mj/vuE9VgvONx0a5d/ckjh+XVzzw+NHSjJdsXoPjhTRawSnLlJblbUxD40i1BarC0nwCPwjx/JBSw5vZHTZisCfNdM3lmcM1xktNLl+W4/VX9dPXYbOsw0YhPi4Io5nNsEIUIlZ12wxN1ak0fXqzNrmkTjahoasqhq5imxppS0cBUpbBmt4UlqGSS+g4gY+qKDRaHpmEjhLF/5PIJnWWZCwMXUFRFLwg3tApCCPKTY+GG6AeUzwTRaCjEEQh9ZZHsRYH8U3Xo9J0402kAljZmSSfNFmSSQAKKVPDMjSWdtgUai5rutOY5mw3nbjv/mztfUR80VH3PNK2zpXLc9xx1VJW5JOs7EphahrdmQTZhI6KStLSydkGhgJNPyBvmzhBwL7J2kxAHm/oFb+NaG4t0DGfr/968yqeeOpg+7E7f/Vm4MIrURNCLF6SuRdCPGcXU1bydMd6shKc4xfq3jDYycFDk0AcZL7qunUcqjTZfaTKviNVIhSW5Wy8MJzTP/361V1oapGm68edaEIoNV1cLySX1EmYCo4X8cC+aYIwJK3otLyAB4am45aOaYulHTa6oeG48UZaKdPA1MCv1/np3mkqzQA/CnHckEiBKIpY2ZXixsFOTEPjqdEyCUOn7vh0JA3qLR/LVNFchUxC50jVn+k6A30ZC9vUWZa3GS01qTRcGm4Qx78KRCG0vLBdG2/qEEThzMJWleZMCZAfRvhBhKGrBFFIwlBYnk9hGzrdGYuJcouejMnB6QauH9BwAiZrDl3JBJbmUml6BFEU75hrqDheiBdEJCOFy3qzjBWbLOu0ydgmlYZLfy5BwwmouR6uH9KRNFHViCXZBFnTIGlpNF2ftGVQqDmMlZq87ZbVGGqc85ptWXq8H24fYmwqXkD9imsHuXIw7qpzoZWoCSEWLwnuhRDiWcwXuE0V6xyeCfIuWdnDyiUZCo7PE4dKqIqKHwTsHC1iGgpXLO/ggaEpHhiaat81GC7UMbS4PCgMI8p4XLeykx88fTguY1EVbF0njKDhhmRUlUYrYPvBIqqicklvmroT0Jky2D9Zp9Tw0T0II4+GF6KpKmEU4fgRHbZO0/P53hPjqKpKT8bC8QK6Mha9WYsgbbJztMJYsUHN9cnaJq4fYOgqhqHjeCFPT9S4sj/LMHC46s1p9a8CSV1DUeI2mX4AmhIRKBEze1+hqgqWrrE8bzNWbnGk2kJT457y07UWS3IWUaCwuidFsebQ8kMKNYeq4xOEIUlTx/V9QlVBUxTyqXiX3pSp8eCBQnxHRNd43ZX9bB8ukbY0ambAq1f3MVZqUap75FMGK/JJxmfKn45U4kXLjh9QdXy+9fgYd1yxFD+I5i3HiqKIj37xvvbX733j9e2/52yTqZrDSKFBseHSk0nM6bhzNsyW/kxXmzxThNv9EMM4ay8vhFggpCxHCCGexXwdT36442hJzs/fup4XX9LDinyy3d8+ldCxZxax7p6o4gfgBxGNVoChqbxswxIuX9aBoSmYhkZn0qLphqzuSdORNEkndHRdJZswSBgqyzttNA38IMSceTyb0NFQsXQNTVUIiUtOkpaOZcR16AldwzZ1Gk5Ayw85XGnxzESVWsvn6fEK9+2d4omxEpamUHXifvpeGGJoKn4QUqi2qLk+5brDM0cqeH7YrliZ8z8QBQxVxdBULE1BmTkoDOOFtpoSzWyA5dGTtjA0jSOVFqWGG9fjawbZlM7qzjR+qLC2JwUzJUC6ptOXTZBNJrhuVSe92QS2oWKaGmuWZNA0BVVReGDfND/ZM8mStMWHXnMpL7mkm86kxfreDB0pIw6+Sw0qTZdiwyVpxBtzNb0QS1cZKzV5dKR40hKzrQ8P8bMn4/aXl63s4bU3XdJ+7obBTsbLLYp1l46kSX82MW9pznwlXqfraKtXjaav8NABKf0RQpxIMvdCCPEs5luo+w9f/Wn7+ZdvGgSgO22xqjvFbLwWRhG6qlB3fYIwYrrusnO0hK4pbF7ZyUCnQhBG7Bovo6sq+bSBZcSZ6a6UwdBknaYXsiSr8dqrlmKoKtsPFnH9kM6kyVi5yWSlhhtEBH5A6EMqqZG3DQxdocM2SFo6z4xXabhxPb1laIRhyHCpSUJTydgGxbpPzYl72jt+hOPP7hwboqDg+hEhETUnIGXqqEpckqMBQQgJUyGha9RaPl4YoqsqQRChqszUriukTJ1M0qTp+tRcH11VUHWVhKHRYZukEhr9WZtL+7McmK4zXm5Saca7vzYcj0PFkFCJqLkWgz0pwlBBUcH1Q4IwYu/hGgDpmfaW24YK5GyTiXKT+/dNU6g7eGHEkWoLP4jQNYWK43Fksk5X2qQrZc7cSYkdv6NsFEV8+PP3tJ+/89dfgqoePd7SNQY6bdb3ZtqPzVea83w2tZq9g+QHPqYGpYZ3Wt8nhFhcJLgXQohncXwdfhRF/OCRIQBsS+fGy5YD8UWAF4Zs318EJeK1Vy7F0FW27y8yVq3Tm7Fpr9RUYLzcotr0uHxZBwP5JN0Zi2sGOvjD/3yC4YJLT9biquUd3LSmm9sv7W1nebcfLDBWdulOWZQaHq7v4QYRng8duspAVxLb0BgttehMqWiqGrfP1NT2JlKR79ORSzJebuL4AUEIlq5gGgpBEF+YOB5YZjxeXVFpeQH5pImpKagzfexVNcIydJKGSq0VYZsaSgSuD5oCmhrvK+uGIeuWpJmsOkxXXTwlpNbycL0QDYWOpAFK/P2GrjBRbtJwAuI+QPF4UqaOoiis6k6RtU0qTZdHh4v0pi0OFhuEEbT8kCuWxR2Ltlzexx987QkKNYe0bfDEaJmGG7C6O0XONulMmfgB5JMGtqnRk7EYLTXnDb7vfmgf9z8Ztz3duHoJP/+Sy074nJxOp6XnU5s/+/qGBm5AfM6EEOI4EtwLIcQZ2j0yzehUFYBbr1gJqhIvup1pg/i+V6ybU2t9y9pu/uLuZxgpNCBSWNOXptzw2pleLwzZPVFlx3CRrz82xmSlxWBPip6MRTphUG66c1//5Zdw95MTfP3RMaoNj2rLIwQyOizPJ1k+U39uGzr5lMHmVZ188vt7qLk+hqYRRiFhBJOVJm4Y71CrqXHZkKmraHqcaS+FDoaq4AcRmqLQmTTYPNBB1jZ4ZqJKEEHK1Li8L0Op5dMK4k2rLEMjKNTxwqjdRUdTYLru4AURugFO05+5gAgICcnaJlcu7+CR4SLD0w3qTkDCUGh6EQHQ8EISRsRIocmameB+TU+akUITP4zoTifoTpksy9s0vYDxcou7n5ygXHe5bHmO0WITRVWIiGh5AUHo0JkyeemGHhwvxPECDldaNJ2Aoakal/Rl2sF3FEXc+bl72vN5fNZ+1un0tH8+7WNnX3+62sTWI65bJT3zhRAnkuBeCHFBOFmf8PNtvnF9f/tQ+/mXb179rKUWlq6RtU2WZOLM9K7RKvsOV0laBrauUnPiri01x6dQd/FCqLcCvKDJRLkEESzrtHnZhh4eGJrmgX3TpBI6eydrBERomopGRN2DYt3lwGSD/o4E6YRO3fXJWAZretNUmz7TtRZHqj5+GM203QRLh76sHd8FCAJySSPOzisKjh9iaioKIZqu8MhIGdcL6E6bZBMmdccjn7ZI2ybLcjYTlRZdaZMoiig3vDi7r8SZ/pYXUnd8/CBCVVSylkaEQl82Qanu8A/3DeH5EZWWj6JE6KqGEfoEAagKuEEIfsjjh8rYhoEfhKzqTgIKVyzPsfNQCYjviPRnE9iGjqGrbBuaxg8ilCiiIxGX37h+wMblOf7rzavZMVzigX3TDHSmIIInDlV4ZqLCqu40m1fm+d5D+9j29CgAVwwu4eduvfSkn41nK7F5Pptazd5B8jwP9dCOeDdiIYQ4jgT3QogLwvOpRX6hx/XTJ0baz7/smtWMnaLUYjYAnCg3qbV8JsoBug5BFGEbKrWWT6Hu4IcRXhBSczz8ICKfMnjkQAnb1MinDGotj3/bPsrGpTlQIvqzCRQgbeoEoY8fxJtB9WRMJqpNJmstOpIGG5bm2DlaJm0ZJI14gW+h7qJrGg3XR4kgCGCq2sINIhTA80OiSCWfNpmuufhh2O6843kOAeAFEYaqkLF19h6u4oQhvhdi6Cq9uQTLOmyiKG5/qakqju9TbwXk0yaFqouhKaQTBj1pa+aixqPh+tiWTmfKpNJycbww3h03iAhDcLyAXMIgJCKd0Km0PJKmzlNjZYYLdZblkly/ppNywyWbiEtWVnWlGC01qDk+YQRLMgaX9GXpy9m849bV7YC53HTRNZXvPjHGkVoLJYIVXSkiIu787D3t+bzz145m7Z/LZ/Ziah8rhLg4XRCX/Z/61KdYvXo1iUSCzZs385Of/OR8D0kI8QKLa5HjTP2F1Cd8vnE9PnQYAENXuWKwd95uOrNmA8CutEXONlFVWJFPoaGSs016MhabVnbScgMUBTIJE13XGC+1iICcbVBt+ZSbXvucpEwd29LoSpukLL1de60qMFxo4LoBU1WHyarLvsNVgijklZf3QhSvFwAF29BI6CqGBn4EdS9qv0fXDyk3XIq1OAg3dR1NixfMhlHcFSdjaYSAgkKl5aMrCoauzbS2dMnaBpauoWsqKUvD0nXStkZ3yqTpB0TEdwY0Lc7IW4ZG0jJwvYAIWJJKkEuaaKpKQoesHS+8DSNQmbkoqrlUm3Hrzu5UAtNQ2X6gwA+fPsJDBwo8NlLiybESKVPnxet6uGpFBwlDmxPYz8rZJjsPlag1Q/qyCZbmbZKGxo8e3seDu+Ks/ZWDvbxpJmt/ss+GEEKcb+c9uP/KV77C+9//fv7gD/6AHTt2cOutt/LqV7+a4eHh8z00IcQL6FQB8vk0Oy4vDHlkuMDOkSK7hqeAuB2iaWin3Kl3NgCcbcfoBRG6Bmv60tRaPklLZ0VnEsuMd2bNp0yuWJqh1vJIWSqVVrzrabHmkDZ1dA0u6cuw81CJq5Z1kLMNfD8kbRmYCkzVHAotn4xtsDyfxAsiRgtNnh6vsKYvTU/GIpnQKTddXD8kDCGhK5i6gqGrtPyQlhd3zWn6cebdC3wMRcH1AhQl7vBj6Bq5hMkNazpZ25smZ5tkEgagcqTS4lCxiWXEwf7yvM1/f9V61vSkGS216M/a9GUtoigiCJWZhbIRlYZLqeGx/0gNLwq5tDfN5pWddKctQCFCQVMVlqQN8imDtBWvKcjZOoWGw092H2H/VIPutMVoqcGuiTKd6QTqzHnxg4iUGW/adbzZOTMNFVWFlV1JJitNPvv1B9vHfOQ3Xjqn1v5C/cwKIRa3816W8xd/8Re8/e1v5x3veAcA//t//2++973v8elPf5qPfexjJxzvOA6O47S/rlTiTWQ8z8PzpC3Y6Zo9V3LOFr6LZa43rcjy0IECpYZDR9Jg04rsBTHm2XH9bN80Y6UWQbNBEMZZ7o2rZ+qfgZtWdxz9pijE80IcP+TAZI2JSpO6E5A0dS7rz3DZ0gyVps+E0qIva5K3NV53ZS8NN8BQVb7zxAR+GNJhG1Qcn8PlBhnb4C3XLyNp6jQcjzAIuWpFFj8MaXoBU7UmpSBeGOu1XJZkLIYLdZbmEuSTBgen6jQ9n6YTkLfjXW+jMKTlxiU3YQitIGLmraFrQBQvsk0ZOgohGdsgCEKYaYPZkzE4NN2g1vKotXxMXaXl+lSduMRmed5mfW+agU6b29d3U204NJ24LWilBV1Jg8GeNOOVFjsOFmn5IZESt6kMw5CpmkvDC+jJWOiaS9LQSZo6l/RluHJZBshQanrsn6pSqLuoikLL9Sg1oDdjxXO0NMe/PDzCI8NFUqZOX9bi4HTEPbsmeNn6Je0pU4HrVnawustmpNCk2PB49PF9jM9sVPaya1bxmusH53wmz9Zn1vHDmdfx6EgaXLeq85T19BfL77R4/mSuF4+TzfVzmXsliu/Rnheu65JMJvnXf/1X3vSmN7Uff9/73sejjz7Kj3/84xO+58Mf/jAf+chHTnj8n//5n0kmk+d0vEKIi5cfwp4yNAOwNViXgzNZj/ifB6DQUjg4Os2jO+M7i2+7dSlv3LzkpN/zZBH2lRWGquCFsCQBl+UhbURcmp9/fHsqcLihoCtQcKAVgqnA5XnosaHoRHTbMNWEvKXwVBGG61DzgAiCCOLCG8jpkLHir1UFLC0OylUFlthwoAaFFrSC+Pvcme+F+Dhz5vzkrZme/YqCF4GlQt2H/mTc777QhGknijPrxK+FCgkF8on4/b6oD4arcKiuoCnghvHr9yehOwH/vj9CURWIwNbB8WFlBipufA6aPnSa8dhTBuhqxKUd8fPTDky3FJo+eBF0mGCrECnxHy+A8UY81oQaz72hRbx+5ck/I07L5X//xy4cP0RV4P+6Yz0ru+wz/tycjqeL0PQVzJkWl7Z+4ufjTD3fz7sQ4sLQaDT45V/+ZcrlMtls9rS+57xm7qempgiCgN7e3jmP9/b2MjExMe/3fOhDH+IDH/hA++tKpcKKFSvYsmXLab9pEV8Jbt26lVe84hUYsn/5giZzHbtv7xTrmx62odH0Ajpsg1vWds977HyZ1Lu/upO863NgpNQ+7s2vfjGvuHbwpD/z6a27WdUdoU43Zh6J6OzLUmx4ZC/pmTdD+83HxzkwXafc8pmquuw+XKUrZdDfl6XUcMl16tx0STfVls+hYpPAmSSNi9dwabQ8NF0jbRm4fohh6aRSBg0vxDJUspZOPmVyuOywclUH3uEaWSegUHNoeD6EEW4ANcdHV+MSlYShkbB0LunN0HQDTF3lcKVFt6ZCFJFPmkyOV8iZcQccxw+IorgHe6Xp01AU1vXnGNVU+gcsVhkqDwwVcFoeK3vTvGTdEj77swOESp2ErqFqCpWmj2WoFDHIZnU0L2SJpdHyQlZ2JpmquXRlTHr6s1zfk+K+3VOsMTR2T9YYLzcJDZ0lXXGy53DFodl0iVSPbNKIN/LqTLOmO8VrtlzCyfzqR/8Dx4/3BHj1LZfxhi0vetbPzXMVPj7ert2HuMTnNVf2n/T40/mdPpPPu7hwyb/fi8fJ5nq2QuVMnPeyHABFUeZ8HUXRCY/NsiwLy7JOeNwwDPngPwdy3haPxT7XNTckk4j/7Uig8tDBEjU3nLft5v37Jyk2AoaLLR47VOGpiTp9HTbjpSZTxWr7uE3rl51wTo9tj3io1KI3Y2ObOvWWT9nxqbRCujMJak7EIyOVEzqndGVsIkVlpNDA9SMcL6TQ8Ng1UUVVoDeroms6+ZTO3sk6qqKQtS1URaXleGQTJklTp7vbpO74DC7J8NhwkWTSJGubLOtIxQGuFpfm5BIGhqYwWmriBSEr8gmGp+pERKCqdKUsLFMjCGG03CLwI+qe316YW2n5uH4YL8T1QsIAVBUaTkDD8cnZJqt60gwdqTFRdVjfl+X61d0EUbyT7ecfOMhUtUUuaVJqungtCIGcoaGpKl4AXem4tOiZiSrT9bj855LeHC0/ntNkIl503HACluaSpEwNTYs77C/L21SaPrqm4ngRtqUyVfV4y/XdJ/19uPexg/zLPU8BkE0leMfrb0DXdDKaHu8VcJZ/j7oy9pze910Z+7R+xql+p4/9vJ+rcYsXzmL/93sxOX6un8u8n9ebdN3d3WiadkKW/siRIydk84UQ4vk4dvHjztEyALZxtIXhscpNl+Fig4YTkE4YTFZbZG2DVd0pyqU4uO9IJ+jNp074Oe32iIbOso4kh6tNetIWtqWRs+KFoMdukHS8GwbjBaSDPSncIGJZ3iZnm1RbPoWGR6Xlcf++Kf7j0UM8sK+AqiromoJtqmgKdKdN+nIWtq7RkTTpTFpcNdBJZ9JC1xQsQ+W/bF7B7716A794/QDZpE7TDbB0Fcf1qdRdblrbzWB3hnzCYG1vBlVRmKy6ZCwtDvoVSJsGigLFhosXhDQcH0NXCYIAx4uz9xERDc/j8ZESuqbi+xENJ17Mmk3Eu8ISQU82gReExHvZQspUyVg6pqbieD7XrOzA0BR6cxY9GZMb13bTdAOSVjz2vpxNh22wZkmajGWQtHQmSg7DhWa8AFaJyCR0MrbGqq4UyzoT3LJu/iy2H4T81l9+p/31f/u5G9H0OA92rhbNnmpB9nMli32FWLzOa+beNE02b97M1q1b59Tcb926lTe84Q3ncWRCiAvN893k6tjNg4jgihUdwPwtDHO2SaleJJ2Iy1vySZP+rMVosUmtES/o3zDQ3b7DeOzYnh6rcsWKHABXD3SgKQqXLs2Qs82ZIDheNHuy3Uln+6A7fsDXHx2jNVMaMtCZ4kChRq3ls/1gAUVRUDXImgZN3ydrW2jNiNsu66VQ92j6IZtWZCk2Ay5bmmGy5tKfs+hOJ9rBY3c6QcMJ6M/Z7UW1KHG9fm82QU/Gwg9CWm7AVM3F1BUsXaPb0ljdncH1Aw4U6lSaHoaqEkURqaRJGEREUURiJvs+UW6ST5qkbYP9U3UsQ+P2DUv49s5xwije1TaKFKIILEPB0lRqbkBPWmdJJkXLDbAMnXU9Bm4IKzpsJvX4/eSSBr+2YSVfuP8gQRT31K80XZbkTMpNn72Ha1iGRn8mQcLSWd2d4srluZN+lv7m6w+3W51uvqSfD//Ki3j4YOk5bTp1us5F7/vns1mWEOLidt7Lcj7wgQ/w1re+lWuvvZabbrqJz3zmMwwPD/Oud73rfA9NCHEBeb6bXB0bQOXsSaaqDs8Uq5TqLj3ZBI4ftAO8GwY72TlaZrLaIp80WdGZZLzcIqkc7T+QTCbmHRsK7DxUYtNAJ74fceOarvbPnXOB8iwB17ahApahkkvolFs+hwoNohA2Ls9xqNgkimC65pCwVFRNZ92SFF50mKtX5NrlRpcvzfLlh0Z4arxCPhWX65SbLtuGCtww2Mk1Ax389Q9dak6AH0akrTgYX5FPMVZuxAtjI4WG60MUYWgqlaYHCrS8MilLJ6GraEkTTVHJJDQabkC54dL04rKbIIrIJU10VeHWtd3YpsbO0TI/2HUEy1C5frCLZyYqqCp0Z+Lym8lqvHFW2tL5pRsHGJ5uMlFqUnV8MpbOZM09oU/9O26NdwqeqrX44a5JvCAkZxt0py1KDZeubIIXremkO53AC8N5P0tDY0X+x2e+337Nj797y9HA/gLaNfl0yGZZQixe5z24/8Vf/EWmp6f5oz/6I8bHx9m4cSPf/va3Wbly5bN/sxBi0SifYhfYM3XDYCd//5P9lBou+ZRJfy4x52LB0rV2sDgb2AHsHzlab5/N2EAcsD8wNIUfRCQtnQ19GXZNVGZKLOYG8Mdm5e/bO8X/2boHlIjNKzu5fnUnO4aPBpJTNYctl/fxo6ePEClQV30UD7bvL2KaKklTozttsbo7DRFctyrHzyag1PTIJCzKDY+PfWcXaVMnnTB44lCJPYervPHq5XNKka4eyDNcaDI83cA0VPqyCQ4V6zRbATXfJ2XqaJpKX4dBuemRtHQabkAYRuiqStXxcL0QS4+otiISpkZvh82ByRqqosR3GGaWUNmWhqGqbBrI03B9bljdxVNjFbrTFp4fsSRrMVFu0Z9LsLI7yYsv6eF7T0xQbXp4QcQlfRnSVlwmdfzF3ey5vXf3JAOdSZ4Zr6BrKkEYcu2qTtb0pHjdVcsA+MZjoyd8lsIw4jf+9D+pt+K2c+96/WZUO3VB7poshBCnct6De4B3v/vdvPvd7z7fwxBCXMBytjln0eF8JS2ny9I1Bjpt1vdm2o8df7FwfObz3t2T/GzqaHC/tCv+3qP1+goNJ2DXRJUbB7tPGQRuGyrw4P4CI9N1HD9kuNDgibEyg11pbFNnqubws33TpC2NVd0plngJRosNfB/GK01abkAYQTKtAxGbV3Vy3aoO7vkZ2EacWdZ1hV3jFZblbayGCig0nQAvCNk3VaPUcEmaGpcvy5GcCXRdPwAFRqYaNIMg7n1vBtQcH9cNMIx4V90obHHlig4cPyQohfh+iB9GBG68sHZtd5qulMUjB6apOQGHik00VWH7wSI3ru6i6Qb0ZBL4QYSmKXSn4wXBY6UmdTdgfW+G2zf08t0nJpiotAA4Um0RhBEbl3VQbnj8cFdcOnNsNn32QsvxQhpegBVF2KbOQD45p+Z8vs/SX33tQe59/CAAq/o6+PN3beFHuyfP2gWlEEK8UC6I4F4IIZ7N2a4hPtOLhRsGO/m3Hx7dTOS6tXHwXm66XLG8g90TVequD5FywtiOXy8wVXMYmYrLXhKGTtMJeGKkzOX9ca3+SKGBrat0JE2KdZepmkN32mKy5qCpCkEIS9IWL7+0l6wdZ9Q/+9MDjNbh4YNFTF3jgaFppmoOigK6qjJdd0gaKl/bMUoQhKRsndGiz3ChwR1XLmVFPsnPhqZ5ZryMaWhUHJ+WF1Cou+iqSqSBFsJ0tYVlajwzUaHmBKiAH0X0ZhKEQNrSGS42KTUcWn5E0tRQUZmueTw2XOCq5TlySZNf27CSHcMlSo24LCgIQnoyFjlbJwLufmqCJ8ZKGKpG0tQIIhgtNFjaYZNO6OST5gnZ9NkLLU1Vuaw/x+Fqk4F8iu6MNWdOjv0sJRM6+8cK/Pe/3dp+/rMffANp2zyrF5RCCPFCkeBeCHFRONs1xGd6sWDpGh3m0QZj/fk0cPQi4fKlubiDS0I7YbHm8esFxsstvDBAVVS8IMQ0VDQ17mqiawpPjJbRNYWujMUNg13sHC0xXGjQcgN60hZhFOKHIffumaTUcDlcccjZGlkUDhWbHK44eEFIwtDYd7gGSkTK0sklEuw+XEFVFPIpk00r8wwdqfMfO0Yp1V0qjke54ZFPmu3aen2m20y16REGOrqmsiJtMVWLs9imqYIbUm56dGVMsgmDnG0wldA5WGjgBxGdaRM/CPFDhS2X97FtqMA9zxwhZ5vcuq6Hn+yZpO74KEA6YXC43CRpanhBRK3lUnc1DA18JWLPkRq2qXHdKh1dV5iqOdy7e7K9mPnSpVmGJuvUXZ+BfIr3vWLdCXXyx36WfrTrMH/y+R/henFnmZ+77QpeevWq5/QZORfmW0gue1EJIU5FgnshxKL0XC4WpsqN9t+7c/EmSbMB4FTNYbzcotJ00VSFK5Z3tDPLx68X6M9Z+Ms6ZoJ4lWUdNklT4+nxCgemaxSbLglN41uPj7NVn2DtkhSOFzBddzF0lU0DHfzomSMQQcMNqLY8qi2DtQlIRNCZNBktNwnDCENXUVUwdA1T11DdgLRl4PkRhwoNMgmdockaNcdnqurgBiFBFKEqEIQRVd/H9eOdYVV8dE2jI2VhGRq2qeN4ccecVitgWYdNQteozrS7TBoaDS+g0vTQVViStU640DF0hZoTMF5qYOgaETBZabEsn8TUVFpugB8EKCgzm2qpHKm0+O4T4+yfarChP4Ohqu3FzE+PV9g00DmTaTeedQHsP373EXYdiEt8lvZkecurNj2vz8jZNt9C8ptWd5zXMQkhLmwS3AshxGmqHVNznUnGGwQdu5DTUFV2Nlz8AHZPVLl8aa6dcZ0t76g0PUZKTRquj2VoLOuwSFo6K/JJsgmDZw5XiCIYmq7juAEdKYNaM6DmeFy/uosgCtkxUprJdCvU3QBtZuHooTok1AYpUycMQ9wgwvVDEoaKRsRIoUEQhZSaHklDxdQVMobOwZkddONtqSKqTZ/ebIJiw0VTFDQ1QgH8CHzP56GhaZZ32vh+xHi1iRpB2jZIaBpPjFbIJw06kga2odLyAtIJnQ7bYH1vhqmaw/7pOrsnqkxVHYp1l5VdSVZ2pxiZjst50pZOpeni+gGZhEFP1iIIIkpNl2BmIa8XBEyUWgzkk+3dXa9YlmPnaIlKK7470h9a3Lt78qRdbp46MMk/fWs7ELf/fP2WzXRm7XP6GTpTZ3MhuRBicZDgXgixqJ1u/3zHDzhcbbW/9oJwzvOzQVjS0mk4AXXXb9dpH1veMVJq8Mx4lYbnU3d8mk6clb1kZnFvpenRcgN0VcHXFGotn2LTI2NpmIbCtqES48UmiqJQc3xUNe4LH+8KC+s7U/hRxDOH6+gq9HfYlBsuhbqHrimYWty6xvMjDhWbJAyNlucTzPS4V4GEofCS9T18+/FxHC8kiiJUVcEP4naZlq7GPeQna0RRxNolGXIJg5Fig3xSJ5c0OFRsArAkk2BZ3qYjabI8n2C83GLXWJlC3WOy6tDyfMotn4SpsTRvYxoKaUOnPpPxt0yVzqTJ/qka9ZYPEXTYJqpm0Ju10LSZciZdYedoCYCRYoOG41NuuOhaHS8Iuf3SuRsj1psuv/CRf8Xz43KcF22+hNXLl8RXOBcQqfsXQpwpKd0TQixKjh9w7+5J/s/WPTwwNI2uqvPuVjt77N//ZD8T5aPB/WMjpTnHzO4Iur43g64p6Ira3m10Nru/5fI+9kxUOThdZ7zUouWGlJo+jh/y6HCJJ8fKNNwANwxxvIDGzAXCgak6O0fLfPOxMfZP1giIgAgviGi5Pl4QYhsaKR1WdNqs7Exz1fIsq3tShGFIwlTRdYXuTAJNU0lZOigK+ZSBpoKqKAQRhCEEIVhGfC6WdyZJzux86wZx1GtoGglLx5jZ0CoMYazcour4HJiqE6IQBLAkm0BVNUw9zt4Xaw4PHijRkzbRNQ0vCNE1lbRl4AchYQiuF+D5UHE8XD/k6oFO1i2JL3rW9mRY3pmi4fpUHJ+etMVAPsnmlfHurjtHygRhhKYqfP/JCbYPl9C0+IJk+8ET5/S9f/kdnjwwCcDqpZ186Fdf3G7ReSE5F7vXCiEWNsncCyEWhDPdwXa2ltmPQggVnjlcZeNMGc18x05WWujq0XxI1fHmHHPNQAdfuP8gE+UmTS/k+lX5eV/H8UMsQ6NadfC0CFWFDX1Z9k/X6E5ZrO1NU2v67POquIGKpigEUYQXhNRbAZqqUmsFpCydfFInQiGX0MnZBtNOlYcPlLhqRQf5lMXalMmPapN0WDoKCpamUIsgZenoWoBt6DQch6xtEDU9LD1+f/05m56sRc42Gas0ySoKDc8nqWuoGjQcH9vUUICkqdNo+Rwut8ilTFZ1Jdl9uErONsglDRqOz0ihwYrOFKamMF5ptS8oIiIShsJU3aXYcElbBsvzCcIIdE0hmnnfuqayqivF6p40+6fiEp01S1JsXtnJLeu6AXhgaIqR6QYRCrqm0HR8RotN+rI2RMqcefi7bz3C5777KACmofP+X70Ny9QvyMz4fHX/nhee5GghhJDgXgixQJzpDrazZTQpU6fuBDQc/6TBXbnp0pEyCaOjNRsZy5hzzI7hEgP5JF4QUqrHNd+2oc8ZR7npsrY3zfS+aSotD98PMLQk0zUHIrhhsAuUuF7/cNUhmzCxTJV9kzU0VSVl62QsnaEjNRzPpyNnsyRjUXcCUqbGfhemp2soKrzlugF+8PQRai2PMNLIp0wajk8UQssLyCYNcgkdXVXYN1kjoWvkbB1dV1EUhbFik2X5JFcuzREEUHM8HD8kjCKabkCx4ZKxDBqej2moLMkm2Lwqz8HpBsW6Sy5hYGkqdSL6O2xaXsDuw1VKDZel+SReEBERMVxooAK5pIkCWIbG6p40D+ydoukFDC5JU2/6HJiusyKfZLAndcI+AvfujjPwjh+iqSqaopIwFeqOj67B5mMutB7fd5jf+j/faX/9m2++GS2RoNJyGS879IeJU9bpCyHEhU6CeyHEgnCmCw9na5kv6cuw81AJUOaUPRx7J2C40GRpNoGuHc0AX7WiY96fX216FBoOI8U6ACs6k3N+ZhiCqin0dyQoNX1absCeI1W6sxaPjhS5eiCP4wcMdCbZO1nDa4VYuobnB2hA3fFJWTodKYP+TIKG5+OHEVN1Fz+EVELnULHJt3eOU2v5XL40y0ixSbnh4gYRr7myn46UyXTVoemHDNo6IRGuF1BrBWQsgxet7SIIYbhQp9hwcbyQassnbWmkLIOejEl9zMc2VLozSfK2Sanlse9IjXLLZ6AzScY2cIIQTVHwvAhdV0hbOp4fYRsal/Vn0RQYnbmIUBSFWsvj4FSD1d1pGm6A48clSQlDI6NE6KrC5lX5E0pTZvcaGC87VBounRmT1Z0pNFXlxsGu9vHFapM3/eFXcLy49ObVL9rAa2++NC55sU0MVYs/O7IbrRDiIibBvRBiQXgum1LNBu83DnafkKk99k5Afy5eCJqxjv6TaepzlyzN/vxC3aVc98ilDIp1D11rzfmZD+ybJpcwWJqz4+41IXSmLJZmbYYLTUaLTRw/ZG1vmqbrU3UClnckKTse9VaAoSls6MsSRBGaAoNL0oyXWzwxWkJVQdMVCBVMXSVrG0zWHMIImm5E0/d5erzMxmUddGUsBjrjzjBJU2ffkSpjpRZLshbazOJZUFjXk2HHoRJeEDJV94lQGCu59GVtDB1afsieyRoZSyebMPD9kGTGYknGYnV3isPlFruPVGm6AZahcdnSNLvGK6zuTuN4cclNpenRlbYwNIWkqbFrvIIbRFi6Sq3lU6i53Lime96e9bPj336wSGfSwAvilpw3r+2ZM6dN1+eOP/gKQ2NFANYs7+a9v3BL+7MiXWmEEAuFBPdCiIvS8TX21wx0sGO4dEabUp1O2Q5ANhGX4KTtoxcM09Um644Zx2yfe1NXccOQStNDVRQuW5qe8zNvXNMFSoQfwPB0A0WJF7BqaryRVXfaIm0ZuH5ILmmystvglrU9My00G/xszxQjhQYru5PkkyadaYsXrevmULHOeAOqTZ8O2yAI41r+PY+NAgqphIbmxYtfezIOw4UGew9XSZg6pqagaypBEFFuuDTcAE1RgYia66MCG5d1sP3gFJNVB4BCo0XTD+hOJVCi+GJHU+Oymn1HapiaytreNCPFJvmkSVc6vuvxzESFWssnCEMytsFl/VkOTNVpuj4Z2+A3bl7N4yNlvDBktNik2vJRiNgzUeH//vIOVnUfrbVvB/oKQISmKQx0Jtm8qvOEuf3Nv/we9+88CICdMHnZbZtoBRG5pI4XhDw9XgHgiuUd+H50wdXeCyHE6ZLgXghxUTq+xn7HcOmsllHkbJOpmsNIoUGx4VJzApK21X7+nifHufHS5e1xZBMGhqqyf6rO+t4s6YROreUzWZu78PaGwU68MGT7/iJLMhbFpkul6RFGEb2ZBFnboO4EmLpKxtLpySRoej4jpQa7JipUWh5eEDEy3cBQVfoHLG5Z2803Hj1EoVgikTSwdJ2EqbC6O0Vvzp55/RDXj8t6tu2fJpPQWZ63eWK8TLEW3/G4clmOIIo4XG4x0JVibU+Gx0eKcYnNTLtMn4DujEWxFtfgpzp1DFVlquZSqLvYhkpHyiBt6UxWXa5flWek0ORnQ5MU6x5pS2dZ3kbXVF55eR+PjpRImhoDnSk2r85zy9puDF1luNjA9eukTR1VVai0fJRSi+X5FNsPFjE0tT3fDcdn00B8MecFIdsPFGg4fnth9Ze/v5PPf+thABRF4Vff8CKWdmXI2Qa7xqtMVlpkEgZuELJzpMyNa7rmLc86nYXaQghxvklwL4S4KJ3rMoobBjv5+5/sp1iPF9MGgQP60X8yRyYr847D1lXyKYO665NPGfSkTb77xDjffHwcxwvYuDzHf715Nbdv6OW7T47zzcfGqDk+kxUH1wvRdIUwhDAM2bisg3fcuhrXD/mnBx7mULEOKHTYBroWrxFImjp/c88+dh+u4YcwkLdJ2xY5S4vXEKzu5FuPj+GHEWGkoBDvNpu2DJ4Yq6ABIeD4Pg8PF7l2ZSfLOm02r8xTbrocLNQ5OF1n/1S8e20YRkzXHFw/pCtpkUsYDNVq1FouGdtgeT7FJX0ZrlreQdPzGS7E2XciBdvQSJoaSztsRosN1velydoG6/t66U5bXDPQwbahAtNVB0OLu+koSnzXIQwjFFVhotKk7vgzC5DjQPvYkqydo+V4Loz4ou9T33qc3/vkN9vzdsdLr2LViiUkLY3tBws03IB0wsDxQ5KWxpqe1JyLxDNdqC2EEOebBPdCiIvSud7cx9I1Bjpt1vdm8IKQ703VmWwE7ecbjbiWPmnpbD9QwA/jBZ/dWYvBrnR7XMPFBvfumaLpBGiawhMjFb5w/0HecetqvvnoGE0voOWFJE2NqbpLV9LC0GFNb5b1/Rnu2zPFZ368l31TdTRVQVcUCg2XTtuk5gR8/dFRJiotTE1FV6Hi+GxY2sGNg10ArOpKsa43w3i5RbnhABpeEPfQJwxRVA1djYgiBdcPUFFmSnKgO53An9ndytZVqo0IFMhaJtXQRddU9k/XOFxpkbZ1OmY63jh+vAHVeKXFaLHBgekGk1UHy4h77GuKykBniu50AiKFoaka33l8nL/+kc/VK3JoalyHb+oavhfRcOLWn6oC9ZaPaWig0A60j10/QQRXzCx2npgs8T//5jsz7wFefN0lbLpykKSlMZBPsvdIjUxCZ++RGkEYEYURVyzLzfkczF68eWHI0FSNYiO+iJQMvhDiQiXBvRDionRsQHc6NfbPxewFxL6pGhnLoK8r035OCWY2O4oAFIjiBajrezMkTb09rv7Q4pGDPomZ7L5HyGS1xbahAk0voNjwmKo6GLpK2tRY35/BDQI2DeR55GARFKi5cRebhhsQEm/UdEl/lhet6eLrj44yVYtLexwXWlMNrloecMNgJ3c/OUHWNri0P8tAZ4pHhos4boimA5HCVM0hIGJVV5rh6Tq2baKoERv6MnxtxyG6UxajpSaqqmLoKglTo+WG1BwP29LjiwFVoTdnk9BVqg2fQq2CqipMVh3Sls6B6QYqEf25BA03Dvp1Da5ckeOne6bYPlJguuaSsw0cL2C40IjHFUJC1zAT8SZYg90pKq044F+zJMXl/Tmmai3u3T3ZLpnZcnlfe87KjRq//6lv02jFZVGvf9F6vvSH/4WHD5bax+dSBg8OTQMRQRjGd2DmtsRvv97QVI1i3aMjZUoGXwhxQZPgXghxUXq2BbFnw+wFRKnh0p0xuWzzAP/81fi5w4W41WXD9dk0cLSPetPz51x4jJcdTEOl5caZ+yiEnkyCctMlndCYqrkYWpw1t1MmtVZcztN0g5mFtxEZS0dFQVEUTE1h4/IOXrSmi2zCoOX7TFVbBGGEEsYlN+WWj6Vr7bsKjh9yuOKQTmj05SzGyk3CIGTzQCd1z6VY90haGss6bCxd48nRMo4bku4yMHSVI2WHzpTJVOSgaeCHEf7MbrCdtoGmxT3lW35Afy7Biq4kQ0dqLOtIYmkNml6IbWr0d9hkEjo3DnbHC2bLDZpOSBRGlOselqni+iGeF+GF4cxGXSaqCi+7dEk70NZ1hZ2HSgwXGgx0JrlieUc74L5hsJMfPTXB7//1t5kqxXN07fqlfPZ/vGFOYD97Mbh9f5EVnUlSps4lfRkajj/vZ6DYiMuz1vdmMDRVuukIIS5YEtwLIRaVM1kgeewFRLkR7+Cqayp+EHLwcAk4ceFtTybBfXumaDhB3EYzm8DxMgxN1eOa+xU5fu2mlewYLpFNmKzsUqi0PFwvZFV3ip6sRU/aZLjYIAgjxspN1vVm2DVRISJiQ3+OO193GTuGS0yUm0xWHVw/IlJAjSAIArYfnOb/+drj1NyArqSJpsZdZCxDxfFCerMJxktNvCDkpjXx+ztcaXFgqsFkpcnT4xUGOpMMTdbY2J/ju4XDTNUcOlMWAQGFapwNd/2AiXKLiLjjT28uwY1runD8uMWl68cdccIw4uqBPGu60+29BP7P93dTa/n44cxuqwr0ZixsU2dpp8Z01SFpaKgqDOST8U64rs/3nppgtNCkr8NiSSaBH8Sbfl0+s7uwCvyfL97D/rECAKv6OvjmR3+JJ8Zr89bO37im65TlXcd/BgxNvSB3shVCiFkS3AshFpXZBZK6rvLA0BQPDE3N2+f+WMdm4lf159l7aJqnh6eoN90TFt72ZxNsP1hod2/J2gbretN8YMv6E15zx0iRiZmdbNf32lw/2MXtG3q5d/ckuhpn+5tuyGSlwqYVnVy/ppNb1sYtIG8Y7OQPvvYEjh+RTeq4XkDggx8pRIFCueVTbrhEEbz2yqVxF5mDBbYfLFJueOTTBpsHOinWXJJmXC/vBVWmqi4Nx2d5RwI0hccOlbhmIMfa3gxPjZZ5eqxCZ9qi6QYoKIQRpBIaLS9q98ZXlPhiwjY1cgkDc2b9wmxgv20oDrxtU2dpLkG55UMUkUkYvPbKflBgx3CRkekmEfFrPjFWpuEELM3ZNF0fUCg3PZZkNOpuvLtwytJ560e/xncf3AtAPpPgO3/6K/R2pnlwpHzCAmzHD+I2mBNliBQ2rz5xg6z5PgPnqgxMCCHOBgnuhRCLyuwCySfHyvgBQPSsNdTHZm+/efVK9h6aJgwjHn5mjJdcvaq98LYtUmi6wSkX+1q6xsalORwvxA9CNFWFKL6z8MDQFPunGoRhRMJU8QONbNJoB/az35+2NK5ekedQocH+6RqeFz++vj+D48V98ov1uC/9ztEyExWH/lyClh9Qbvg8uL/Aqu4UlqHy4J4iQRQRRhGWobHrcI0NffF7es0V/diGThCE7DxURgtCHD9AVRQ6Uwbr+7I0WgEJS6NUd6k4Lq4f4fsRG1fE3YEyM3sFzM7BFcs70FSFvUfq6KrKW24c4Ja13e2Lr+tWdqEpBUBh00CeHz9zhF0T8YVF3Q0IwoiluXS8a3CkkLI0/vZff8K//OhJAExD4z/+37ewYaAbmH8B9rahAg0nYNNAJ003wFDV07qLI4QQFzL12Q8RQoiFI2ebNN2AuhvXVict/Yxaad5w6fL237c9PTrnNQGabsDm1XlySYOm57ez1fOZrde/fnUXmwbi1pN//5P97JmoMV5qcrjWYnS6RS5pMllptTPejh9w7+5JjlQcDhUaKKpCR8KgPxlnmFtugGWo5GyDzrTFI8MF9kxU8YKQ5Z1Jokih6fpoKmSsuJ0mSgRAwlBRFQVdhTU9GZblbZ4er+AFIffvmyZpavhRXG8fhiGDXRlabhzYb+jL0JWxaDghK/IpVvekcbyAHcOl9nt2/IChqTr/vv0Qe4/UGei0ecuNA9y+oRdL12YuvuIA2w+jdqebmuPT8kKIwNbVmR1vVW4c7OK9L1vD//fvP50T2H/tj36RF1+18ui8DXaeMCfH/izZlVYIsVBI5l4IsajMllfoigoqrO/NnFEN9Q2XLmv//YGnD815zWNLNubLAB9f72/oKo8MH22jaRkaxZrL2r40hf0OI9NNUpaO61ukbb3dHeaneycZLTVx3YCa45E0dS5dmiUs1rh+ZQffe3qKQs3B1DVeNNjJj/dMcaTmUHc8wjCiP2uRsjQU4OmJCrmyxkCXTa0ZoKoWew7X6M4kSFoaWy7rY9dEhUdHilSaHlEEUQBJU8MLVA5XWyQMhSt64v722/ZNY2gKph7njtwgaJfAbBsq8NN9k2w/WMR1QxQ17rt//eqj5+jYDLuiKIyWGjx4YJpKw2Nld5IgjEjMLH5938svQVcUfuNP/5Mvfn8nAIau8tWP/AKvuXHdvOd8y+V97bk53XaqspGVEOJiIsG9EGJRmS2veK411Jeu7CGbsqjUnXbm/nRLNo7fEGloqsaxbTQbjk9HyqThBPRnbaYqLooC4+UWqqJgaCqGqjFSaOB4IcWWx5qeDJoKr9nYx9fuHWO01OLK5VmuWN6B70f80wMHSFs6S3M2YyUYmqyxvj9LzfFw/DhbX6iHTFZd3CCkP5dgad5mVVcShTh7fuNgNw/sm2Ztb4bdExUSpkrLD7lqRQcrO5Os7U3z4P4i24amqbkBSztsXD/OuOuaQs422+99ZKpJc6ZvfT5pEhHFPfdnHDsvSUOjL2szUmhSaLr0mzavv2oZfhCRS8Y7Ar/9z7/OP259HIgD+3/78C/w2psuOek5P7b86nQ/A7KRlRDiYiLBvRBiUXquNdSqqnDd+qX84JH9jE1VGRorMrg0/+zfSFxrrusqT46Vqbs++yfr/Nym5RhanOV+ZLjAQD7JcLFBteXR3xEvQiUCLwhpOH5cRhIp6JqKQly2oikaT4yVUSIFL4zQONpBpu4GdCRNVFWhL5fAD+N2jgem6kzXHKKZ99SVsljWYaNrKlXH4amxCk+PV7h1XQ93XNnPA0NT9OUSHJyqU3PiHWf7cgmSls54qUXa1LhlbQ+Vlsf+qRr7p+o4bsiGZRkars8DQ9PkkyYBcU1/ywuIAN+PyNknz5jbhsaKfJJVXUn2Hqmyc7TEjYPdXLcqzzs//nU+991HAdA1lX+58828/ua5C5eP30H4+N74p5OFP9e7IQshxNkkwb0QQpyhl12zmh88sh+Af/3xk3zwl26Z9zjHD7hv7xTb9xdBiYPahuMTRQqgYBkqO0fLXLEsx6PDRUaKDYanGyzL22xa2clUzSFnm7h+SNLScP2Aphuwpi/NrrEyPZkEuqawLG9DGDGQBstQ2D9Vx/XjRa9rliRpOPGi3TCKyCYMig2XbEKn1op707teiOPFC4AfGprGDyM6khZpU2PPkSqWrrF5ZSdf23GIvpxNzfXw/JDpmsONq7vYtn+ajlQcoGcTBkEY8crL+rFNjUeGizx+qERH0qRYj1tJekHESKHBWKnB2iUZ1i1JtwPu4UKT/myCrB0vwN01UWF9XxbXD9m4rIPBnhQ3rMrz63/yH3xlpsZeUxW+8oc/zxtv2XDCHBxfejNedjBU7aRZ+PlKcM71bshCCHE2yYJaIYQ4Q7942+Xtv3/pB0+c9LhtQwW2HyjMLAyFhuMzWmoCUVzPfnkfRLD9YIEf7Z5k/1SD8YpDEERsXJaLA+lWvMHUQD7J5pWdJBNxkG/pGiu7krzpmuV84BXr2bSyg+EaPDNWY/dEjcmqw3ChwUsuWcLVA3n6OxJsXJajK21ypNKi4Qb0ZC2iCExNmamhj2h6IaqqUHM8RitNnhmv8oNdhyk3PYhgzZIUt67t4R23DrIsl2TnaImpmkvT8fGCMF5YHCnthaqOF3BgMr4TUW661Foenu/Tl7XIpyyqLZ///m+PM1Vz0DWVR/YX+OeHDvLvj4wAoM+MJWVprOhMokYRr/rgF9uBvaoq/OE7tnDHiy6Zdw6OX0jbn0ucchFtuwTH0OdsjHU6C6SFEOJCIJl7IYQ4Q2uWdXL9hmU8uGuUx/Yd5gs/foZ8R3pOmcdsS8tnJqqkLJ1lHfFi0IF8ikv7s+0s8I1ruviXh0cwVAXb1HH9gEcPlbhqoIN33Lp6Thb5moEOvnD/QRwvZF1vhhWdSQwtbt8YzYxtsu6STuis6EyyNGez90iN33vVpQDxYtx9UwRR3H0mbETcMNhFX9ZiotLCcUN6MhY1x49fL4poeD5ffmCYjctzLMsn0VSFy5fmaLoB2aTBQD7eIXbnoVK7ZGbz6jyNVnwn4HC1hReG2IZOzgYvDFmmJKk4HtM1j7rvU2567J+qo6sKFdej6YQESdhzuMrGZR1cM9NJyGk6fPBvv8uTByYBsEydD/3GyzGyWX7nXx5lIJ9i8+r8CS1Dj83M37t78pRZ+PlKcKQNphDiYiLBvRBCPAe/dPtGHtwVL6j99s+e4R1vuIGpqsPf/2Q/A502w4UmQQSWrlJv+RyYrrO6O8XmVXkMVY0XjFo6Xhiy/0iNQtNDb3l4QYSmwHChCXBCYDpZaZFOGNSdgJFCA0NTAGg4AauzoOsJokjBm1nQGoRRu+Tl6bEqmgKaorCmJ81UzaE3E2fQL1uaZbzssLwzyY93H8HzQ+ozXXymGy6VpkcyoRP40UwG26Q/TIAScfeTRyjWHWpOXDY0XmoxVXfI2QaaqrC2N43rB3SkDCxdZbTcYM+RGqoCCgq2pbJrvMzqnjQpU0dV4rEbmsqKziQvvqSHnUOHefUff4XRqSoA2VSCu979agIzwTMT1Xi/gDBi+4EChqqeNBh/tkW0UoIjhLjYSXAvhFgwzqRl4fNtb/gLL72cD3zqe0QR/GTHPt7++usZLjYoNVzW92aYrLTI2AZrejPsm6jhBSGbV+a5flUnO4ZLeEHEd56YwNZV/ChEAaotH0WB3qxNfy7BfXun2hcCOdtkotyg1PQ4OF2n4YUYWryQ1PEDOpIGbgBr+lPsPlzD0FR0DayZ8hLb1EGJs+Hr+3K4fsjly3K4fsBAPomuK1SaVSYqTXrSFo4fkgsjmm7AVM3hybEy63ozvHTDkvaYxsstnhgr4boR1ZbPdNXhvqZHytSACFNX0VQFBYXrV8cbRSUTGp7fwdNjVfwwpDdrcklvjmLDQVdU0gmdNT0JNDUef3fa4p5HD/DG//llyjMbcq1ZmuePfvM1ZNJJdo6VcLyAVELH1NV2682TebYsvOxEK4S42ElwL4RYME7VsvD4YD7uPhO0jz0+kH62YH9pd4aXXr2KH+04wNhkhX/7yS5aRoKOlMGjh4ocrjqMlhr83OYVXNKTIZc0ePElPe2ykJFCg4lyAz+IC2pUJe4dv6IzxaV9abIJg+37i1zan0XXVH66d5J7nplEV8CLQIkiutIW/dkE24YKXLeqk23bIlZ1JklaJv25BN1pi6laC11XeHKsjOMHVJo+5YZLRzLeeGvoSA1T1wjCsD2WS3oz7D5SQwtDVAUsw6DU8GjObCI1e477swm+/5RDT8YCIJsyKNZd0pYOikIYwtJcAiLa2f7Z82roKg8OTTNcaDJRabJxebyT7YP7C2w/WIBIYfOqPHv3HeI3/9e3cL14k7DrNizlmx/9ZXKZRHu/AtvS6EkncP2w3XrzuZISHCHExU6CeyHEgnGqloXHB/5PT5TZNNDZPnY2kD6TXubvfeP1/GjHAQC+ec/jvPmNt1Jteew7UmdpzuZwtcnOkTI3rulqZ4Bnx1h3ffwQqq2AnG2i4JFPmazvzZJPGfHCVCXCNjUeO1Ri+3CJmhMv9HT8gGX5JJf2Z8naBlM1h4cOFGgG0J2xeP2mFe0Lk3t3T/LA0BR+AJqicvVAB1nbpO54aCpsWJalVPc4XG0BEUEI5ZZHw/FQNYWBrhRN12d5PsWL1nTRcP32Oc7aBsvyNt0pi4Shsv9InYShE0URRBGqCpahceNg1wnn8pa13ewar9KbDcknTVbkk+wYLnH7pb3cfmkvjuvzgU99j0/958Pt73nNDev4lzt/ntRM8D67X8F9e6bmXBBItl0IsZhJcC+EWDBOVS99fOBPpNB0g/axs4H07PPzlXYcn/1/9Y3ruHKwl8eHDjN2uEg2bDHaDGl4LRK6ypbL+1CIg1DHD7h39yRPj1eAOOjVVcgkNGxDQ1cVVnWn6Mla9OcS5JIGm1d20nAC9h2p0nR8kqaOH0S4fkS95WFbs+0dWyiYmKpCqTn3wuSagQ7+5eFhmk5AxjZ42YYlKAqAjW3ENf+7J6qMFhtAvOnU8HQDXVOoNAOaKZ8rl3ewojNJdzrO0B97jl97ZT/7JusEYcDavgwdts7higNErOi02bzyaLB9/PnrzyVY35uZM0cAI0fKvPnD/9reJAzg/3rtJv76/Xega3ObvFm61r4gEEIIIcG9EGIBOVW99PGB/+bVRxe25pJmO5A+1ULK47P/Dx0o8uG3vYSf+8N/AeBz33yYLVuupzuToCeT4MnRMlnb5BuPjcb923MJrljWwc7RMq4X0JdLYusqXRmLgXyS7ow1d4dWSydpxS0qE6aO4UeUfRdTV7AtHc8PyCUNejyD/ZN19lXAnqwTobTH/OCBAqCAEgfXT46VuXltHPjPno/B7jTr+zJ8/+kjPLBvioQRt9nsySiYuspgT6pdqtQ+D8ec41dtPL21Csefv/FyC0NV55zzH2wf4i3/71eZKscXG5ah8dfvew1vv2PTnNd6vmsmhBBioZLgXgixYJyqXnq+wP/YYHBOsHiShZQn7nbq0LWki9VLO9k/VmBkvEBYr7N23VIcP2S01GJ9bxbb0JmstGj5Abqi4IchuqJy5+suY8dwialai/FyCxT4+5/sb2/i1GjFC1A3Ls/x+EiJock6GVtnVXeaV1/Rhx+EvPiSHv76R3spNj10FYpND63QbHfI+d6Th+lOmRQUqLd8RkuteYN0Lwh50WAXB6ZqNN2Auhtw+dIslqbxuquWnfRczvaBP53AeqrWYrjQpOH4JC2dpTmLXNKg3HTJJAzueeApPvL5HxOGce3/qr4OvvqRX2DTJf0nvNap1lcIIcRiJsG9EGJReLaFkqezkPLE3U7jzPPbXnsdd37mewB850eP8sab1qGoGrpabu+02pEyefJQ3O4RFFBhx3Cpvcg23jVV4/FDJbwgZKOda68FWLskTRSBioJlanFg70ftuwv9uQSu5zEaQjah88xEhWLDJZ80abo+40GIpauEUcRkpcW3Hh+jO52YE5R/47FRsrbBTYPd7J2s0nQDDlcclnVY3Lt7cs6xJwusny2bPl52mK66lFsu5YbHoWyCu960nFKlyTs+/g2+ef/u9rGvuWEd//j7b6Iza887F6daXyGEEIuZ7FArhBCn6cTdTi1sU+OmK1excU0fABPTVf7qX+9r18w33bjLy0A+iWWqzO5Oe8WyXDsgjQPVOAjOJ02mqw5PjJW5b88kw8U6tqmxcWmOn9u8nGUdCR4dLvK9pyb46d4jfPeJcUaKDQp1D1MD1w/x/Ajb0Nk1UWW67vLYSJk9h2scKjdJ6jrDhWY7KIf4rsVwocl9eyaJlIiBfJJ0wmCgM8nVKzrnHHv8eI8NrOfb3fVY/bkENcej7sTnzzZUPvYvD3L5b3yqHdgrCnzkbS/lGx/9pRMC+9l1C7NlTpWmBxCX9DyPDjlCCLGQSOZeCCFO06l2O/3tt7yE933832k6Hlsf2M177riGl127hi/cf5DJaoueTIJXXt7H0+NVqk2Pb+0cY1mHTc42SVp6e0fXFZ1JRopNSg2XjG1wuNri37cf4vLlOQbyyXanm6U5myiCbz4+xrKOJJ0pg4MejJVarF+aYd+ROkEYEUYRCV3BNjW8QKHhezxyoMC2oWk0VWHnaJk1S1L05xL4QUix4dKTSbC+P0s2Ed91MDTmZMZPtnD5+LKbgc65wXl32iJnGyzLJylWGnzz7od49OmRo8/nkvzj77+JV12/dt7zf+wdg/5cIr5zoivSj14IIY4hmXshxKJybPb33t2TOH7wnF/r2Ez++oEu/uI9W9rPvfMT3+AHT4wxkE9yy9oeBvJJhqbqQMRYuYXjBZiGRrnhQUT7dbrTFi9a08Uta3vQVYWlHTaGrlBquIxXWnEQHh7dIOpQocneI1WiCNZmYUWnzWBXGogIghBT09i4vIO8bZAyNcpNnyM1h2LdxQsCHjlY4M+/s4vvPzWBH0bcMNjFQKdNd9pq33U4PjN+/B2M2cB6vOxQqnuYukap7jFedk44Xz3ZBA8+cYC//Nz35gT2b7p1A3//P38Bz7JPOi/H3jHIJgwGOm1ed9UyXnxJjyymFUKIGZK5F0IsKmdzIebxmfxb13Xz3W17+c+fPsNkqcGH/+5uPvaeOwDQdYUnRsqsXpJCIWJtbwbHi7P1Ddefs2h19o5ApeUxVmoShVBqeARBCIBCXH4zUmzEveR1lYYbMFyDNw90YJsmq7tTAGiqSqnhYmgqThDSmbYo1FpEKBwuO0xrHm4Q4ngh+47UCMKQGwe7T9l56GTrE2az/3XXJ58y6M8l5jxfrTv8+N4d/Os9T7Uf68zY/PX7X0P/siVUmj72zAXPfPNyqlan85GOOkKIxUiCeyHEojJfx5vZzjLPNwBUFIXP/M7ruP+pQxwp1nls9xi/99ff4RdeewOHqw66rkCkEKGw93CVjcs65gSpjh9w394pHtxXYLTcYKLcImcbJAyNYs1FUayZzH2I44b4QciNg11omkqj5REpETev6SZtW+3NnR7cP0Wx4bGsI8Gq7iQr8kn+bfshpmotHD+g3IovdNr9/qF9Ds7kosfx4wXGxbpLRyrelGq2L77nB/zlvz/IRz7/Y6qNo9n8N96ygU//33fQ15nmG4+NPusC2VNdcMxHOuoIIRYjCe6FEIvKyTrenGkAeLKs8JJ8in/78Jt55e/9E03H54ndhzC+p7Hp2ktZ15fF0jWW5hIcrrZY0ZmcU9aybajAg0PTDBebuF6IF4SkLJ2645NJGtRaHlufOozvh7zlxgE2r85TbniMFBq4fkhCjTP6sxcrw4Um6/tyXLcq3vE2mdAwVJVVnUmKdRddU0koKhlLJ4gi1vdnuXGw66QXN6fKhG8bKsyp2zc0lddc2ce37t/N73z6bp4ZmW6/Tjpp8f5fupU/+pUXocQ7ap1WVn6+C45TjUk66gghFiOpuRdCLCrXDHQwXGxw395JhosNetLms+5MO59TdYa59cqVfO2PfrG9m+qOJw/yzBP7aLR8Ni7NcfnSHJf25zA0Zc5rzgbkQRiRMDUUFJquzxXLO3A8n1LTxfUCDF1l+4ECRDBebjFVdai2PMquwl3fepqJSpOhyToPDk3xkz1TeGEYl/84PjcMdtLbkUBXoStt0ZdNkLI0/CCas5ssnLg+4b69Uyd9z+WmSzZhcPnSHLes7QGnxRt+/8u89ve/NCewf8UNl/D3//MXuP6KVe3AHk5ex/985iFnmyddN3A6zub6DCGEeKFI5l4IsajsGC4xkE+yvjdD0w0YLjawDf2067hnPVtW+JXXr+XOd27hzs98jzCMuG/7HqIo4qoVtzJSatFwfHYeirPnXhBy+6W95GwT1wsoNT28IMTQFQxNY6DTZu+RKqkgIpXQWdZh44cR5aZH3fGYqjtEYURCh8NVh/v3FehJW+SSJoVqi90TVQa70yQTOn//k/08Plyi6UcYYUDKMtg8kOf6wS4MTeXuJyfaGfDjy1qeHq+waWV+3vc8m3lvNFt84Vvb+e7PniaMovbzgyt6uP2WK1i/cglDRQet5JKzJ9tB/H17pth+sACRwubV+dOez1PNw5mW8RxPynqEEBcjCe6FEIvK8cFg/zG7pJ5JAHg6ZST//b9cS8vx+OjnfkAUwU8f2Yvqu7z0xVeTSCQwdRXXD9l+sMDtl/Zyw2AnX9txiCMVB9NQ6bAN1vdn+LlNK+hOJ3hgaBo/iAhC0DUl3tUWcL0QVYGpJqxaYlKotVjWYdOTTqAqCsWGSy5p4AUhk9UWuqayqtOm5vikLB1NVUHhhEB29lx5Qci+qRp7jlRBgSuW5fCDaM577rbg4//0U77zs134Mwt/AVb25njb62/givXLOVRs8sRoCcvQuOPKpXMy7dsPFokT4xHbDxQwVPW0AulTzcOZrhs4npT1CCEuRhLcCyEWleODwe504jkFgMdnha8Z6Jh3Ye4f/9otbOjP8o4//zqOF/CTx4d5dN8R3vyaG7h0TX/8YlFcnmLpGreu62FVV4q662MZcSnNNx4bJWnqXLkix+MjpTi7vSpPueFimynGyw7FukME3LCqk+0jFcoNl6rjk7F0ejLxbrR3PzlBPmlypOIAKinTYH1fmhsHu+YNZGfP1b6pGqW6x7reNMOFBnsOV7l6IM+vbVjJjj3j/Mk//5R/u/cpwvBopj5tm/z+r9zC+3/+Rr6/6wi2oZO0dJ4Zj3e/fWq8AhFUWx5JU8PxwvbPd4PgtAPp55udP5Uz7c4jhBAXAgnuhRCLytkKBk++odWJJRxvvu1y6qHK73/6OxTKDar1Fp/91x9z0+Z1vOKWy7lhQ1/7dbrT1swCX41Hhgtoqopt6DScgFzS4PdedekJP3PL5b08Nlxgb22CvlyCO69ezhfuP4hWbZFPmvTnEmwbKpCzTVZ0RvhhxFNjJWpOQBBGeEE4ZyOt2UB29lyVGi75lIkfRTObZ4WUpkq8/Hfu5cGnjvaqB8gkTd79hut4/8/fSF9nGjgaJA9N1fDCEFPX2He4ihdEXL4sh+sHHK62WJpLAvFdidOtj3++2flTOZcXDkIIca5IcC+EWFTOZjDo+EG7VnzPRI0Ny7Jc1p89oYRj21CBpb2dfPqDP8/HPvcDHt09SgT8bPsedj49jP2rt3LzYBcJU58TUEJcAgPzl4Uce+wNqztZ58Ata7sxjHiDp/W9mfax5abLlsv72DZUwNAUEoZGfzZB1jZoOAFJS2uXJyUTcSnObP39rZf00GgF/Gz3BDuePMiOJ/dzZLo6ZyxL8in+75+/kXe9/lo60ol5x1lsuGzoyxIpEU+Mlqk7fpy5t3T6sgl0jfZdiQshkD6XFw5CCHGuSHAvhFg0zvamRtuGCu1acV1X2TVWRlcUBrvTc0o4ZktebDPJn/7Wa/nS1h186TvbcbyAasPhf3zm+3z6Px/irre/jF+6/Yp2QJk0dbYfLOJ4cWa7N5tguNCkP2fRnU5wzUDHnPH4Idy3d4qaGzI0WafhBURRhK4qbF41t3f9Nx4bxTaOluEcu5HWsXchJooNHn1mhHse3su2J4bnLJIFWN3fwX//xRfxtlddjW0ZpzxfSSNuuXnF0hwHphoYioZt6FQbPj1Zi/fctvY5z4UQQoiYBPdCiEXjbHc/KTdd/CAuM1nVleLAdL29ePXYzPOxtduOH/Ibd1zLR375Rfw//9+P+MetjxFFcPBwmV/96Nf4g3/4Ib/y8it465ar8MKQ4UKdkUITVYEogiAg7qSjanzh/oMM5JPYpk6p6XDvOLx8tUcmYdFwA0ZLDZbmbECBuTH5KevJ94xOs3PPOPc8up+n9ozhzdMC8upLlvKBn7+BX3rZxnbLz2c771esyLHzUImdoyWWdVgYuobrBXSkDPpz1nOeByGEEEdJcC+EWDTOdveTnG2ia3HHG4DV3UluHOw+4YLhZLXbb/8vN7P5qkG++K2H27XrBw+X+egX7+OjX7yP5X15rrpsJbmuTpKpBKPFJqu70zQcH9vUmKy22qU3tqFR9eL/AkRRxNIOm+tXdQHQcP2TjkmJQsZGC/zmt7bx/e372TtaYD7Le7L82pYr+Y1XX8PaZadfNnPseb9ieQc7R8poikYYwjUD+ZnOO6fO+gshhDg9EtwLIS54Z6uc5mx3P7lhsBMvCI/2Zz9JrfjxtduOH/D3P9nPZKVFRyrBB//rFg4cOsLWnz3N3Q/va3edOTRR5NBEEQA7YdLRmaU8toT1K5ewMpegO23RdGcWwXoBGYP4v5o+k02PX2f2vdaaLruGp3j64CRPH5xi18gUTx+c4pmRKY6rtmlL2iYv2bSGWzcN8sE3bkZVlfkPPIVjz/vOQyVQFK5YfjSLf+Ng9wVRYy+EEAvBOQ3u77rrLr71rW/x6KOPYpompVLphGOGh4d5z3veww9/+ENs2+aXf/mX+fjHP45pSssxIUTsbJXTnO3uJ5aucfulvdx+ae8Zfd+2oQKT1RbpRLyYdbjYYN2qXj7whk1MFGp86Qc7+cetj7Njz0T7e5otl+bYFONjU9xz/1P8LWDqGpmURTpp0ZFOYAUNhsYa1Fs+nhfQdD3+runiej6e6zNeqD3r2Axd5abLVrB2VS8bVvdx5Zo+3JnM+nMJ7IF5FwkbqsqmgU6ann/CXJ7pxdzZXkshhBAXs3Ma3Luuy5vf/GZuuukm/uEf/uGE54Mg4I477qCnp4f77ruP6elpfv3Xf50oivjkJz95LocmhLiInK1ymhe6+8nJgs5y0yWfNKk7AZoGT46Wcf2gfcy733Q9m69ayyN7J7h72x7GJqbZd2iaWsOZ8/quHzBdbjBdbnBw9sGh8hmN0TI0Ll3Zw21Xr+IV1w5y65UrMQyt3QXosUNlNq8+efea0wmsjz3vs1l8Q+Okd0/O9GJOdpIVQoijzmlw/5GPfASAz33uc/M+f/fdd/PUU08xMjLC0qVLAfjEJz7B2972Nu666y6y2ey5HJ4Q4iJxsW4mdLKgc7bf/EihwROHylimyhXLOubs2FpueGxctYQ1S7vIJQ1uXdfN3tECDz49ykPPjPHYvsOMTFUpVZtUGw6ud+KiVwBVVcjYJmnbZKA3x6UD3Vy6socNA91cOtDNqr4OtOMWxN67e5KGE8SZdTfAUNWTZsJPFVjPF/ifzt2TM72Yk51khRDiqPNac3///fezcePGdmAP8MpXvhLHcdi+fTu33XbbCd/jOA6OczR7ValUAPA8D8/zzv2gF4jZcyXnbOFbCHO9aUWWhw4UKDUcOpIGm1ZkL4r3M11tYpsafuBjaPHXnue134+ST9B0PC5flkUhbB8DnPB99ZbLoapLsrODN9zew6tfGtJwA2wjrrc3opDDTz/EZVdfx+6pFnumGliGzvWDndy8tgdLn7+jTRgGhOHcC4OTjftM3iPAz/ZOUWp62IbGdK3Jz/Yc4Za13dy0uuPoC0QhnhfOec20qVJqOu331mEbp5zvMz3+YrcQfqfF6ZG5XjxONtfPZe7Pa3A/MTFBb+/cWtV8Po9pmkxMTMz7PR/72MfadwSOdffdd5NMJs/JOBeyrVu3nu8hiBfIQphrFagAP9h9vkdyep4pQtNXMDVwA7D1iHB4B3vK0AzA1iAI4eHx444BhsoKIfF7HsxFPLNz7msdakQMZo7WwLthxKZukx8//Bh7Z74X4OCBA+zYHnFp/vTG7Ifww1GoegpJA7otSBsR6qEdp/0eZ499ZApMde4YK6cxd37InHO0LgffPsX3nenxC8VC+J0Wp0fmevE4fq4bjcYZv8YZB/cf/vCH5w2uj/XQQw9x7bXXntbrKcqJC7SiKJr3cYAPfehDfOADH2h/XalUWLFiBVu2bJEynjPgeR5bt27lFa94BYYhLegWMpnr8+d2P5y54+DRkTS4blUnDx0osH4mm930ApKmhqmpc4752b4p1OESXhBhaAqbBjqoO3FXnFmPDpdY359pv07aUGkMbWftZVfiHa63M/WOH7J+aZbXXNl/WmO+b+8UL13ucqjYoFD3WJKx+I2bV5008z/fe5w9NntM5n42o37L2u7neVaF/E4vHjLXi8fJ5nq2QuVMnHFw/973vpe3vOUtpzxm1apVp/VafX19bNu2bc5jxWIRz/NOyOjPsiwLyzpxsxPDMOSD/xzIeVs8ZK5feIYBt106N6iuuSGZRPxvWAKVxw6VuLQ/SzZpESrwo91TPD1e4aoVnRgztfBNz6crY89Zd3DdYDeGplJuunSlbTatyPKDIejKJLAKLWb3nbIMna6MfdpzX3ND8qkE+VSi/bPT9sk3mJrvPc560bol7fr6rrTNDYOdGBdJF5uLoQOP/E4vHjLXi8fxc/1c5v2Mg/vu7m66u89O5uWmm27irrvuYnx8nP7++H8Od999N5ZlsXnz5rPyM4QQ4nw7NlAcLjTpzybI2gY7R+PONrahs/1gEYjYNBAvMN05WmbTQL69gHi+hajHBpuzdZnXreokVFS27y+CErF55ck73Zx0fLkE2YRx2ouXTxYIv9Ddic4m6cAjhLhYndOa++HhYQqFAsPDwwRBwKOPPgrA2rVrSafTbNmyhcsuu4y3vvWt/Pmf/zmFQoHf/d3f5Z3vfKeU2AghFoxjA8X+XILxcgtDVyCCK1Z0AOAHIcxUI87u4tr0/DmB/MmCS8cP+NneKR6ZguyBAresW8LtG06/9/6c8WVnxqcpp70XwEIMhKUDjxDiYnVOg/s//MM/5POf/3z762uuuQaAH/3oR7z0pS9F0zS+9a1v8e53v5ubb755ziZWQgixUBwbKGYTBoam8LqrlpGzJ+Oe7yZzdpT1/Ygb13SddoC8bahAqelhqgql5ukH17MZ9x/uOkxH0mR9b4asbWDo8fhOdvx8ffsXWiB8sbZfFUKIcxrcf+5znztpj/tZAwMDfPOb3zyXwxBCiPPqZIHisaU2m1fmQYGG45/x7rnlpottxCU6tnH6wfVsxj2fNCnWPZ45XGVNd/qkgeyp+vYvtED4bO9mLIQQL5Tz2gpTCCEWg5MFiseX2hybGd82VHjWRZyzxz89XiEMQ4IIml5AV9o+rXHNZtwv6cuwe6JKseGSSxonDWRPlqFfiIHwxbxeQAixuElwL4QQz2K+chTgtLupnG6geKa167PHX7Gsg8dGChysRdxqnzw4P96xGffB7jS5pHHKn3eyDL0EwkIIceGYv3GxEEKItnbQbRwNuud77PmKM+Mz5TWnUbs+e7yhqVy9ooPlKbhlbfdpt2y8YbCTXNKYWbj77BcF1wx0MFxscN/eSYaLDa4Z6DitnyOEEOKFI5l7IYR4FicrRznbi0jPtHZ9zvFegH2GbdjPNOO+Y7jEQD7J+t4MTTdgx3BJMvZCCHGBkeBeCHFBeSE2DzrTn3GyoPtsLyI9k9p1xw/wwpCnxyugRFy9PMu63PMewildCF1xLobNpYQQ4nySshwhxAXlXJS7PN+fMV/5ypmWtJyO2Uz6665axosv6cHSNRw/4N7dk3zjsVHu3T2JM7P17LahAo1WwKaVeS7ty2FoKvo5/hc9Z5s03fjnN92AnP3Cd8V5IT4fQghxMZPMvRDigvJCZIfP9GecrHzlhShJOdki2+PfQ6nhnFG25rlkwC+ErjgXwt0DIYS4kElwL4S4oLwQPdMvpr7sJwtmj38PHUmDyhm87nPZVfZC6IpzMc2dEEKcD1KWI4S4oJyLcpfz8TPOlpOVwhz/Hq5a3sHTRfjm4+NzyndO5nQ685ysJOh8upjmTgghzgfJ3AshLigvRHb4QshAn67T3QDrR0+P0/SVOFA/jUz86WTAn0t2/1y7mOZOCCHOBwnuhRDiBXYm9e6nG8yWGh4zifjTqkU/nfp5qW8XQoiLjwT3QgjxAjsXGfGOpMFM9c5p1aKfzkWD1LcLIcTFR4J7IYSYcaqM+tnsr34uMuLXrepk27aIphvQlbHPSi36NQMdfOH+g0xWW/RkEvzahpXP+zWFEEKcW7KgVgghZpyqh/rZ7K9+LvrFW7rKpXl47ZX97R75z9fsjrS3rO1hIJ9kx3Dpeb+mEEKIc0sy90KIBee5ZtlPlVE/m9n2C6Ff/OmQmnshhLj4SHAvhFhwnmtN+6lqzM9m/fnZ6Phy/AXMphXZ5/V685GaeyGEuPhIWY4QYsE5nR7u8zm+h/o1Ax3tPu9eGJK0tAumv/rxZUIPHXjuZUInIz3lhRDi4iOZeyHEgvNcM87HZ9Tv3T3ZvgPQaAXkkgavu2rZuRr2GTm+ZKbUcM56tkZ6ygshxMVHgnshxIJztmraL+Sa86Sps/1gET8I0TWVq5dnaJ7vQV0kzmbnIyGEuNBIcC+EWHDOVsb5gq45VwCi9n+j8zuai8qFuPOuEEKcLRLcCyHESVzIXW0ajs+mgaPjqTbPflnOQnUh35ERQojnS4J7IYQ4iQu55vz4uwodSYPK+R7UReKCviMjhBDPkyR6hBDiInR8J5vrVl04dxUudNIFSAixkEnmXgghLkLH31XwPO88jubiciHfkRFCiOdLMvdCCCGEEEIsEBLcCyGEEEIIsUBIWY4QQgjp/S6EEAuEZO6FEEIc7f1uHO39LoQQ4uIjwb0QQoiZ3u9xpl56vwshxMVLgnshhBDkbJOmGwDEvd9t6f0uhBAXIwnuhRBCSO93IYRYIGRBrRBCCOn9LoQQC4QE90KIBU86wQghhFgspCxHCLHgSScYIYQQi4UE90KIBU86wQghhFgspCxHCLHg5WwzztybWtwJJvncO8FIiY8QQogLmWTuhRAL3tnsBCMlPkIIIS5kkrkXQix4Z7MTTFziE//TKSU+QgghLjSSuRdCiDMgmz0JIYS4kElwL4QQZ0A2exJCCHEhk7IcIYQ4A7LZkxBCiAuZZO6FEEIIIYRYICS4F0IIIYQQYoGQ4F4IIYQQQogFQoJ7IYQQQgghFggJ7oUQQgghhFggJLgXQgghhBBigZDgXgghhBBCiAVCgnshhBBCCCEWCAnuhRBCCCGEWCAkuBdCCCGEEGKBOGfB/YEDB3j729/O6tWrsW2bNWvWcOedd+K67pzjhoeHed3rXkcqlaK7u5vf/u3fPuEYIYQQQgghxLPTz9UL79q1izAM+du//VvWrl3LE088wTvf+U7q9Tof//jHAQiCgDvuuIOenh7uu+8+pqen+fVf/3WiKOKTn/zkuRqaEEIIIYQQC9I5C+5f9apX8apXvar99eDgIM888wyf/vSn28H93XffzVNPPcXIyAhLly4F4BOf+ARve9vbuOuuu8hmsye8ruM4OI7T/rpSqQDgeR6e552rt7PgzJ4rOWcLn8z14iDzvHjIXC8eMteLx8nm+rnM/TkL7udTLpfp7Oxsf33//fezcePGdmAP8MpXvhLHcdi+fTu33XbbCa/xsY99jI985CMnPH733XeTTCbPzcAXsK1bt57vIYgXiMz14iDzvHjIXC8eMteLx/Fz3Wg0zvg1XrDgft++fXzyk5/kE5/4RPuxiYkJent75xyXz+cxTZOJiYl5X+dDH/oQH/jAB9pfVyoVVqxYwZYtW+bN9Iv5eZ7H1q1becUrXoFhGOd7OOIckrleHGSeFw+Z68VD5nrxONlcz1aonIkzDu4//OEPz5s5P9ZDDz3Etdde2/56bGyMV73qVbz5zW/mHe94x5xjFUU54fujKJr3cQDLsrAs64THDcOQD/5zIOdt8ZC5XhxknhcPmevFQ+Z68Th+rp/LvJ9xcP/e976Xt7zlLac8ZtWqVe2/j42Ncdttt3HTTTfxmc98Zs5xfX19bNu2bc5jxWIRz/NOyOgLIYQQQgghTu2Mg/vu7m66u7tP69jR0VFuu+02Nm/ezGc/+1lUdW7nzZtuuom77rqL8fFx+vv7gbh23rIsNm/efKZDE0IIIYQQYlE7ZzX3Y2NjvPSlL2VgYICPf/zjTE5Otp/r6+sDYMuWLVx22WW89a1v5c///M8pFAr87u/+Lu985zulfl4IIYQQQogzdM6C+7vvvpu9e/eyd+9eli9fPue5KIoA0DSNb33rW7z73e/m5ptvxrZtfvmXf7ndKlMIIYQQQghx+s5ZcP+2t72Nt73tbc963MDAAN/85jfP1TCEEGJRc/yAbUMFyk2XnG1yw2Anlq6d72EJIYQ4R9RnP0QIIcTFattQgXLDwzZ0yg2PbUOF8z0kIYQQ55AE90IIsYCVmy62GWfqbVOj3HTP84iEEEKcSxLcCyHEApazTZpuAEDTDcjZ5nkekRBCiHNJgnshhFjAbhjsJJc0aHo+uaTBDYOd53tIQgghzqFztqBWCCHE+WfpGi++pOd8D0MIIcQLRDL3QgghhBBCLBAS3AshhBBCCLFASHAvhBBCCCHEAiHBvRBCCCGEEAuEBPdCCCGEEEIsEBLcCyGEEEIIsUBIcC+EEEIIIcQCIcG9EEIIIYQQC4QE90IIIYQQQiwQF/0OtVEUAVCpVM7zSC4unufRaDSoVCoYhnG+hyPOIZnrxUHmefGQuV48ZK4Xj5PN9Wx8Oxvvno6LPrivVqsArFix4jyPRAghhBBCiLOvWq2Sy+VO61glOpNLgQtQGIaMjY2RyWRQFOV8D+eiUalUWLFiBSMjI2Sz2fM9HHEOyVwvDjLPi4fM9eIhc714nGyuoyiiWq2ydOlSVPX0qukv+sy9qqosX778fA/jopXNZuUfjEVC5npxkHlePGSuFw+Z68Vjvrk+3Yz9LFlQK4QQQgghxAIhwb0QQgghhBALhAT3i5RlWdx5551YlnW+hyLOMZnrxUHmefGQuV48ZK4Xj7M51xf9glohhBBCCCFETDL3QgghhBBCLBAS3AshhBBCCLFASHAvhBBCCCHEAiHBvRBCCCGEEAuEBPdCCCGEEEIsEBLcL2KO43D11VejKAqPPvronOeGh4d53eteRyqVoru7m9/+7d/Gdd3zM1Bxxg4cOMDb3/52Vq9ejW3brFmzhjvvvPOEOZR5Xjg+9alPsXr1ahKJBJs3b+YnP/nJ+R6SeB4+9rGPcd1115HJZFiyZAlvfOMbeeaZZ+YcE0URH/7wh1m6dCm2bfPSl76UJ5988jyNWJwtH/vYx1AUhfe///3tx2SuF47R0VF+9Vd/la6uLpLJJFdffTXbt29vP3825lqC+0Xs937v91i6dOkJjwdBwB133EG9Xue+++7jy1/+Ml/96lf5nd/5nfMwSvFc7Nq1izAM+du//VuefPJJ/tf/+l/8zd/8Db//+7/fPkbmeeH4yle+wvvf/37+4A/+gB07dnDrrbfy6le/muHh4fM9NPEc/fjHP+Y973kPDzzwAFu3bsX3fbZs2UK9Xm8f82d/9mf8xV/8BX/1V3/FQw89RF9fH694xSuoVqvnceTi+XjooYf4zGc+w5VXXjnncZnrhaFYLHLzzTdjGAbf+c53eOqpp/jEJz5BR0dH+5izMteRWJS+/e1vRxs2bIiefPLJCIh27Ngx5zlVVaPR0dH2Y1/60pciy7Kicrl8HkYrzoY/+7M/i1avXt3+WuZ54bj++uujd73rXXMe27BhQ/Q//sf/OE8jEmfbkSNHIiD68Y9/HEVRFIVhGPX19UV/8id/0j6m1WpFuVwu+pu/+ZvzNUzxPFSr1WjdunXR1q1bo5e85CXR+973viiKZK4Xkg9+8IPRLbfcctLnz9ZcS+Z+ETp8+DDvfOc7+cd//EeSyeQJz99///1s3LhxTlb/la98JY7jzLl1JC4u5XKZzs7O9tcyzwuD67ps376dLVu2zHl8y5Yt/OxnPztPoxJnW7lcBmj/Du/fv5+JiYk5825ZFi95yUtk3i9S73nPe7jjjjt4+ctfPudxmeuF4+tf/zrXXnstb37zm1myZAnXXHMNf/d3f9d+/mzNtQT3i0wURbztbW/jXe96F9dee+28x0xMTNDb2zvnsXw+j2maTExMvBDDFGfZvn37+OQnP8m73vWu9mMyzwvD1NQUQRCcMJe9vb0yjwtEFEV84AMf4JZbbmHjxo0A7bmVeV8YvvzlL7N9+3Y+9rGPnfCczPXCMTQ0xKc//WnWrVvH9773Pd71rnfx27/923zhC18Azt5cS3C/QHz4wx9GUZRT/nn44Yf55Cc/SaVS4UMf+tApX09RlBMei6Jo3sfFC+d05/lYY2NjvOpVr+LNb34z73jHO+Y8J/O8cBw/ZzKPC8d73/teHn/8cb70pS+d8JzM+8VvZGSE973vfXzxi18kkUic9DiZ64tfGIZs2rSJj370o1xzzTX8t//233jnO9/Jpz/96TnHPd+51s/KaMV59973vpe3vOUtpzxm1apV/PEf/zEPPPAAlmXNee7aa6/lV37lV/j85z9PX18f27Ztm/N8sVjE87wTribFC+t053nW2NgYt912GzfddBOf+cxn5hwn87wwdHd3o2naCVmdI0eOyDwuAL/1W7/F17/+de69916WL1/efryvrw+IM339/f3tx2XeLz7bt2/nyJEjbN68uf1YEATce++9/NVf/VW7S5LM9cWvv7+fyy67bM5jl156KV/96leBs/d7LcH9AtHd3U13d/ezHveXf/mX/PEf/3H767GxMV75ylfyla98hRtuuAGAm266ibvuuovx8fH2h+vuu+/Gsqw5//iIF97pzjPE7bZuu+02Nm/ezGc/+1lUde6NOpnnhcE0TTZv3szWrVt505ve1H5869atvOENbziPIxPPRxRF/NZv/RZf+9rXuOeee1i9evWc51evXk1fXx9bt27lmmuuAeL1Fz/+8Y/50z/90/MxZPEc3X777ezcuXPOY7/xG7/Bhg0b+OAHP8jg4KDM9QJx8803n9DSdvfu3axcuRI4i7/Xz2W1r1g49u/ff0K3HN/3o40bN0a333579Mgjj0Tf//73o+XLl0fvfe97z99AxRkZHR2N1q5dG73sZS+LDh06FI2Pj7f/zJJ5Xji+/OUvR4ZhRP/wD/8QPfXUU9H73//+KJVKRQcOHDjfQxPP0W/+5m9GuVwuuueee+b8/jYajfYxf/InfxLlcrno3//936OdO3dGv/RLvxT19/dHlUrlPI5cnA3HdsuJIpnrheLBBx+MdF2P7rrrrmjPnj3RF7/4xSiZTEb/9E//1D7mbMy1BPeL3HzBfRRF0cGDB6M77rgjsm076uzsjN773vdGrVbr/AxSnLHPfvazETDvn2PJPC8cf/3Xfx2tXLkyMk0z2rRpU7tlorg4nez397Of/Wz7mDAMozvvvDPq6+uLLMuKXvziF0c7d+48f4MWZ83xwb3M9cLxjW98I9q4cWNkWVa0YcOG6DOf+cyc58/GXCtRFEXP4w6DEEIIIYQQ4gIh3XKEEEIIIYRYICS4F0IIIYQQYoGQ4F4IIYQQQogFQoJ7IYQQQgghFggJ7oUQQgghhFggJLgXQgghhBBigZDgXgghhBBCiAVCgnshhBBCCCEWCAnuhRBCCCGEWCAkuBdCCCGEEGKBkOBeCCGEEEKIBeL/B0jJ1mvh+zBcAAAAAElFTkSuQmCC\n",
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