COMIX: Coarsened mixtures of hierarchical skew normal kernels
S. Gorsky, C. Chan and L. Ma
library(COMIX)
# Number of observations for each sample (row) and cluster (column):
njk <-
matrix(
c(
150, 300,
250, 200
),
nrow = 2,
byrow = TRUE
)
# Dimension of data:
p <- 3
# Scale and skew parameters for first cluster:
Sigma1 <- matrix(0.5, nrow = p, ncol = p) + diag(0.5, nrow = p)
alpha1 <- rep(0, p)
alpha1[1] <- -5
# location parameter for first cluster in first sample:
xi11 <- rep(0, p)
# location parameter for first cluster in second sample (aligned with first):
xi21 <- rep(0, p)
# Scale and skew parameters for second cluster:
Sigma2 <- matrix(-1/3, nrow = p, ncol = p) + diag(1 + 1/3, nrow = p)
alpha2 <- rep(0, p)
alpha2[2] <- 5
# location parameter for second cluster in first sample:
xi12 <- rep(3, p)
# location parameter for second cluster in second sample (misaligned with first):
xi22 <- rep(4, p)
# Sample data:
set.seed(1)
Y <-
rbind(
sn::rmsn(njk[1, 1], xi = xi11, Omega = Sigma1, alpha = alpha1),
sn::rmsn(njk[1, 2], xi = xi12, Omega = Sigma2, alpha = alpha2),
sn::rmsn(njk[2, 1], xi = xi21, Omega = Sigma1, alpha = alpha1),
sn::rmsn(njk[2, 2], xi = xi22, Omega = Sigma2, alpha = alpha2)
)
C <- c(rep(1, rowSums(njk)[1]), rep(2, rowSums(njk)[2]))
prior <- list(zeta = 1, K = 10)
pmc <- list(naprt = 5, nburn = 200, nsave = 200)
# Fit the model:
res <- comix(Y, C, pmc = pmc, prior = prior)
initializing all particles...
Done
Merged clusters (iteration 17)
Merged clusters (iteration 48)
Merged clusters (iteration 76)
Merged clusters (iteration 77)
Merged clusters (iteration 94)
Iteration: 100 of 400
Iteration: 200 of 400
Iteration: 300 of 400
Iteration: 400 of 400
K=10
T=200
N=900
J=2
p=3
# Generate calibrated data:
cal <- calibrateNoDist(res_relab)
# Compare raw and calibrated data:
oldpar <- par(mfrow = c(1, 2))
plot(Y, col = C, xlim = range(Y[,1]), ylim = range(Y[,2]), main = "Raw Data",
xlab = expression(Y[1]), ylab = expression(Y[2]))
plot(cal$Y_cal, col = C, main = "Calibrated Data",
xlab = expression(Y[1]), ylab = expression(Y[2]))
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iWBqqqzRENQfxKKioqb786vNPS0lR/x+HN44GXF7i6wqtXcOoU3Lt3um/fLcXF8/r2ZTKZACApKRkSEsLj8a5evfrrt96sSAIjmklAACxdChUVn0v27wc6Hdq3b76YCOLXCAgIWLFiRXl5ubDk+PHj5eXldnZ2v35jMTHAZMKcOUCt+/88org4tXdv2Lmzfi03N7fHjx//+q03KzKIg/jXiotBUlLYeRpr1Ch49gxMTCAgAGRlISYGXryAc+fICA6iFQgICHjy5ImxsfHgwYMVFBRu3779/Pnz8PDw3zKC49UrsLGpX8BgMHLU1S1fvKhfWF1dzWazf/3WmxU5AyN+FpcLa9aAoiJoa4OUFAwZAtnZP9CcSoWQEDhxAkRFISsL+vWDxEQwNv5t4RJE06FQKJs2bTp37pyEhERGRoaXl1dSUpKFhcVv2ZiUFBQW1i9wdnZ+HhUFUlLCkurq6rNnz7q4uPyWAJoPOQMjftawYVBaCg8egLY2lJXBxo3g4ABPn4KMzA+sxNYWbG1/W4gE0ZwsLS0tLS1/+2ZcXWHKFHj3DrS0BAX+AwYkTpq0g812efFCR0cnPj5+9uzZdnZ29vb2vz2YpkUSGPFTnj+H+/fh1au6uTMkJGDJEsjKgh07YP785g6OINoSJSVYvhwcHWH2bLCxgcxM+qZNZk5OF2xs+vbtm5GRoa+vHxgYOGbMmOYO9NcjCYz4KbGx4ObWcOYnT0/Yu7eZAiKIluzTJzh/Hl6/BnV16N0bOJwfaz5uHNjbQ3AwhIWBigpMnEgbNGghhbJwyZLfEu1/BrkHRvwUCgUQGxZ+XUIQxHfdvAlGRnDiBNTWwo0bYGYGhw798EosLGDfPrh3D06dAn//NjIYipyBET/F3h5WroSqKqg/P+m5c+Dg0HwxEUQLVFQEAwfCsWMgHGHx6hW4uIClJZiafl39xIkTu3btevPmjYaGRkBAwOjRo5tybqr/GnIGRvwUc3NwcYE+feqm3/34EebMgVu3IDCwuSMjiBbl/HlwcYH64wMNDGDcuG+ehI0fP37dunXTp0+/ffv28uXLT5061adPH2zDVz5IAiN+1t690KMH9OgB4uKgowP5+XD3LkhKfqNmYiKcPAk3b37x2DLRrIqLi1+/ft365hZqed6/h3btGhYaGkJ6eoOyx48fX758OSYmplevXhoaGi4uLlevXi0sLAwPD2+iUP97SAIjfhaDAdOmwfv3kJcHHz9CaCgoKjask50NPXtC375w8iQsXgwGBnDmTHPE2tYdPny4U6dOCQkJAJCXl+fp6SkjI9OuXTtpaektW7Y0d3Rtm6IiZGQ0LExPByWlBmXR0dH9+vWr/zAyjUYbPHhwVFTU747xP4vcAyP+tb97vJ/PB29v6NULIiJAcJn+8WPw8gINDbC2bsoA27jg4OCgoCAnJycOhwMAQ4cOTUpKCgkJ0dLSun79+owZM2RlZYcMGdLcYbZVnp6wYAG8ePH5Kf4PH2DHDjh2rEHFysrK+tPbC0hISFS04QsbJIERv82DB1BZCYsWfR4QZWMDs2fDjh0QGtqskbUtmzdvnjt37qpVqwAgLy8vMjLy1q1bTk5OAODu7k6j0TZt2kQSWLNRUYFt26BLFxg0CCwsMDW1dteu9D59mKqq6l9WNDU1DQkJadD61q1b5ubmTRbsfw25hEj8NikpYG3dcDivrS0kJzdTQG1UaWmpzf/nysvPzwcAKysr4VJnZ+c3b940Zj0xMTG6f+/Ro0fPnz//HfG3Mp8+fdq1a9ekSZOWLFkSGxsLAODnB0+foqLi+0OHduzc6SUqOiYtzc7OztvbO7ve9GxeXl7i79+f8fGpDQuD9+/5fP7u3buvXr06fPjwZvsyzY2cgRG/jZQUFBQ0LMzPB2np5oim7XJycgoNDfXw8GAymYaGhhISEg8ePHB1dRUsvX37tnHjpqB0cnKKior6uzFv5ubmdDr5/+Q7Hj161L9/fwcHh06dOhUWFg4cOLBnz57bt2+/+OzZhJ07s7KylJWVK8rLZ3XvfvHixVWrVnl6ej58+JBGo0FFBXPMmPDKyjtPnkRcuuTE5x8VETllaRkZGSkrK9vcX6vZkAOOACgogBMnIDUVNDTAxwfU1b/fpDFcXGDMGHj1CgwM6kr4fNixA7y9f836icZZvXp1586dra2thw4damtrO3v27KFDh65YsUJbWzsyMnLDhg0HDx5szHqoVKq2tvbfLaW0jSdn/w0ejzdw4MDg4OA+ffoISmbOnOnq6jp79uzjx4+7uLhwOJz169enp6cPHTq0vLx8+fLlkZGRUVFRPXr0gMmTgUqlvXnTWUQkNzf39ZMno5csmejjA0ZGDbZy7969u3fv8ng8Ozs74c+U1ooksDbv7FkYNw569wYTE0hJARsbWLkSRo36BWuWkYGNG8HFBWbMAHt7yMmB4GAQE4ORI3/ByolGMzQ0vHPnzqZNm9asWVNUVCQoHDFiBACYmJgcPnx4wIABzRpgWxEbGysrKyvMXgAgJiY2b968YcOG7dmz5/Dhw3379gUATU3NEydOGBgYODg4MJnMbdu2yTAYdidPQkaGYN4AJSUlpd69QUkJBg+GoCDh2qqqqoYOHRoXF9enTx8ajTZ9+nQOh3Py5EmpetPStzIkgbVJ5eUgLg4AkJ0No0dDVNTn10jOmAGdOoG9/RezAJSUgJgYMBg/vKGhQ8HGBrZsgTNnQEkJRo+GwYPbyCQ3/yn6+vo7duzYsmVLZmZmXl5eUVGRjIyMkpLSP5xRET+npKTk0aNHxcXFZmZmBsJrDwAAkJOTo/X/CeOFtLW1S0pKunTpEh4eXlpaKigUFRVFxMmTJ4uKioqIiCwcPnwfohyTKVK/Zfv28OYNIAo71MKFCykUSmJiIoPBAIAVK1ZMnjx58uTJBw4c+E1fttmRQRxtSUUFLFoEHA4oK4OsLEycCEeOQJ8+X7wEWVsbxoyBsDAAAETYuxe0tEBTE6Slwd0dkpJ+eKPGxrBrF9y5A6dOwZAhJHs1IwaDoa2tbW9v36tXr44dO5Ls9cv99ddfhoaGa9euPX78uJubm6+v78ePH4VL1dTUXr9+3aBJSkoKnU6vqKjo0aPH/v37BY+WBwUFUSiU2bNnJycn37lz53VBgWh5uZ+vb/2GvKysSlFRYxMTSUlJcXFxR0fHPXv2rF+/XpC93rx5ExER4enpeebMmaqqqt//1ZsHSWBtBiL07QspKfDkCZSVwatXAAAbNoCmZsOaurqQmQkAsHgx7NkD585BcTF8/Ag+PuDqWtfwl/v4EZ4+hf9f4CKIFufKlSs7li59tGLFtalTTwYHv379WklJaejQocIKtra2XC63/vnQx48fly1bZmNjc+TIEX9/fyaT2aNHj0uXLh07dgwRx44d6+npWVJSklpeDu3aKVy6JBxGX1JSctzO7mhlpaqq6urVq/39/ZOSkkpLS8PCwoqKivz8/FxcXP7666/Vq1dXVFTsbcXviMA2w97e/v79+80dRfO5ehUtLbG29otCdXWUkEA2G7W1MSgIi4oQERctwnnzsKgIpaXxw4cv6q9fj0OH/nwMfD6mpmJMDGZkfC7MzMR+/VBaGi0tUVYWPTzw7duf38S3mJubx8XF/dp1Eg2Ii4vv2bOnuaNoPnz+IX39SklJ7NEDe/VCDgdnzOBWVKioqKSmpgprJSYmGhgYuLu7L1++fMqUKcrKyvPmzUtMTJSXlx83blxiYuKaNWv09PQAQEpKatasWVivZRaFckBEhHfyJB4/nqirmyIqOmXIEOHyU6dO0Wg0GRmZLl26TJ48uaqqChErKirYbLaamtrNmzd/31dvxv5FzsBakbdvYdUqGDUKVq2Ct28bLn3wAHr3Bmq9f/GFC6G2FqqrISoKrl0DRLCzg7g42L0bBg2C58/BwgIUFL5YiYcHPHjwk+ElJICDA3TtCgsXgq0teHlBZiZUV4ObG5ibQ14ePH0Kubng5ATdusGnTz+5FYJoFps2GWdm5ly+DFeuwMWL8OIFJCQwVq5s3779q3oXLUxMTOLj44cNG1ZdXa2pqRkZGSkmJubs7KyionL8+HELC4t169YZGBiIiYkBwOzZs4UN8zmcDhISxZKSn0JCIDz8RGnpUGNjz2HD4uPjg4ODV69ezWazxcTEmExmYmLixo0bWSwWAKxcudLd3X3ZsmVbt25t+l3SBEgCay1274aOHeHjR+jYEYqKwN4e9uz5p/pZWbBzJ8ycCU5O0LcvrF4NOjrAYkGnTrBsGZiaAoUCX8/0Wu+O8Y/Jzwd3dxg7Ft6+hZgYeP8e7OzA3R2OHQMtLVi0qO7dmAwGzJoFlpZw5MjPbIUgmkZxMaxYAT4+EBAAe/cCjwfBwet0dHKFvUNODvbuhZCQog8fpAUPPt69C2PGQPfuzIkT/TQ0BGdgx44du379elxcXFxcXFFR0YMHD6SlpceMGdOrV6/q6mr8/yN3iLh48eLegwbtkpd/v2ULHDu2lcerAdixY4eHh0dqampZWdmiRYv4fH55eXlFRcXmzZu3bNni6up6+fLl7du329nZJbfS2QNIAmsVkpNh0SKIjYUFC6BnT9iwAWJjYeHCL+5X2dvDxYufc9K9e+DsDNevw6BBkJAAFhaQkgJsNjCZcOwYzJkDGhoQHw85OV9s6OxZcHT8mQj37QMPD/jjj7r8x2DAggXA4cCZM1+8SEKgSxeIi/uZrRBEE3j+HExMIDsbhgyB3r3h9Gmws4PcXCNf3+3bt3+upqbGpdNrs7JsbGxg4UIYMgTat4eZM6F9e/D3h0WLKisrt23bdvToUTU1NUELa2vrbdu2rVmzZv369TQazdLScsmSJZs2bXJ0dExISBg1alR+fr5gZKOenl5VVdWzZ89evny5ZcuWVatWxcTE8Pl8LperpKSUm5v79u3b0aNH379/X1FRsbCwsLWOpP/vDqMvLi7Oz8/X1dWlUkmW/Z7Tp6FrV+jfH16/BjYbeDxYsgSGDIHTp2HevLo6bm6wYQP4+8OGDaCmBh8/QmIiiIjA4MHAYkHfvrBpExgZwadPMH8+XLoEDg4weDD07Ak7doC9PVRUwJ49EBwMd+9+J5iaGggJgUuX4ONHMDWFGTPAyAiSksDNrWFNZ+dvv2OlogJYrF+xXwjiNxg5EjZsgEGD6j76+0NgIMTHz0PcHxOzzMam/fz5MnJyt65fD8rPH7VmTcSSJd137/4QGaltaQkA4OYGgwaBpWWOmZmampqioiIA8Hi8mJiY169fy8vLP3nyxMnJSUdHJzk5ec2aNRoaGvPmzVNXV/f391+5cqVgkGFgYOD48eNFREQuXrw4YMCA6urqsWPHysvLV374MDo3d1h0dHZW1tWdO7VGjtSxtGQwGB4eHs22u36rZrnz9rVDhw517NgxPj4eEXNzc4W7W0JCYvPmzb9kE615EIevL0pK4pkzdR9fvEA7O+zdGydO/KLap0+4YAHKy6OUVN3YjezsukWDBuHy5bhwIQYF1ZUcOoT29njkCBoZoYgIMpmoqYnTp2Nm5j9FUlaGtrbYpw9evoyxsfjnn6ioiMeP49ixuG1bw8pTpuC4cWhsjNXVnwtratDaGiMifnZffAMZxNEEWtUgDj4fc3KQx/vGovR0VFZGPv9zCY+HAwcihYLOzrULFuTo6r6Wlu6koTGJzb5JobBYrL/U1c+YmSkpKc2YMaNWOIpq/vyiyZM1NTURMS4uzszMrGPHjuPGjRPMWrlhwwZEfP78uaurK4PBoNFo5ubmZ8+eRcTS0tKCggJ89WoPnX6PTj/PZI5jMkWYTDqdvvSPP7KZzLsmJu4UyjJHxwwPjwo5OW8TExaLdeDAgd+3t5qxf/0nEpjgjUROTk65ubmI2L17d1VV1ZCQkMuXL8+cOZNOpx88ePDfb6U1JzAjI+zW7YuS7GxksXDlym/XLy5GRBw0CL29MTcXEVFCArdsQUVFfPeurk5tLcrKYn4+rlyJysq4cCHu24dBQcjh4LFjfxvJsmUYEPBFSVwccjh49Cja22NNzXKQFzIAACAASURBVOfy0lLU0MC4OBw4EJ2dMSYG8/Lw7l10dUUvry/+g/jXSAJrAq0kgRUXY1AQioujkhKy2ThqVMOBuE+fooXFFyUbN6KLC4qKooYGjh3Lj4y8pKycLypayGIt8Pa+detWuKrqPiuroqIiJyenzz/Hg4Nx0iQdHZ0rV65oaGgcPXpUUNy+fXsTExMOh/PixQtBSVVVlaamZlJSUkxMjLW1tYSExEgJiXwabaWk5ONNm+5Nn56hr//B1LSqpAQ9PRdLSjo7O69du3bs2LGdOnUKMTV9b2QUGxurpqZW22AE8q/T1hOYtrb23LlzBX/n5uYCwK1bt4RL58yZY2lp2Zj11NTUpP49c3PzVpvAFBRQTg6fPv1c8uQJ0ul44cI/taqsxPnzUVIS9fURAF1cMD7+iwq6unjiBGppYX7+58KkJJSX/3zq1kDHjhgTU/f327d48iSGh2OHDhgVhZ6e6OKCkZGYmopnzqCZGU6diohYW4t79mCHDsjhoK0tbt/+7V++/wJJYE2gNSQwHg87dcLRo7GgABGxpASnTkVTU6yq+lxH8HjJp0+fS9q3x927sX17LC3FxYtzzcyeSknx2ezBYmIVWVmIyNu48ZS0dExMzKNHj4yNjetaDR+OwcFXrlyRkpIyNjaOjY2Ni4ubNWsWg8GIiIhYsmTJjBkzhFvo37//0qVLVVRUzp07xy8tRQWFhKNHORyOhYUFj8dDPh89PXHjxhoGo6u9PZvNLikpqWtZVYVsNlZUaGlp1R/N/2u19QQmJyd3+vRpwd+Cl8aWl5cLl166dElCQqIx67l9+7bO36NSqX/++edv+QLNTk0N9+xBJSX098elS9HfH5WUUEsLnzzh8Xh79+718/Pr3bv3/Pnz8/LyGratqcGUFNTVxcePvyjPy0NpaZwwAdet+6Kcz0cnJzQ1RRMT7NMHL136YqmpKSYkIJeLEyagkhL274/e3shiYb9+WFODu3djly6oo4M9euDZs79hR3wbSWBNoDUksLNnsVMnTEzErVtxxQqMiMDaWvTwwH37vqgWEICjRn3OajIyaGWFO3cKPs0cNSqhUyekUjOYTJSRQTc3vH+/jM0OCwioqqpisViIiOfPo5IS5ucXFxdbWVlRqVQajUalUs3MzGxsbKKjo8PDw729vevWX1z8R4cOVqamp06dQkS8fBldXRExPj6eyWSam5uvW7fu4uTJifLyZVRqSkqKqKjop/r5lcPBvDw9Pb2UlJTftNva+nNggtc9cLlcABC+7kG4tPGve3B0dPyHMzAxMbGv32faSjg5QWkpJCVBt25QWwtubnDuHHz6VKap6ejoePLkSW9v78DAwKqqKjMzs7sNRmHQ6aCvD1OnwvjxIHz50MePMHIkjBoFhYVfTE6PCAMHwtu3YG4Ox4/DwIEwfTrMmvW5gqEhxMbCvHmQkQGvXsGhQ2BlBYgQEQFmZqCvD9evQ2oqXLkC9aY0JYj/hEePAAB69IBXr6CyElatgg4doGNHePjwi2ohIVBSAoaGMHIkDBwIZWVgbQ1jxgAAII6OiKAyGLUKCn3Fxfl5eeDlBf37R/Tr1+3KFXRwOECjgYMDzJwJZ87Uysj07NmTzWb7+vryeLyCgoLOnTtnZ2eHhITk5OTIycnBq1fQvXutmtr8x49jEhO9rl+HsjIoKQF5eQAwMzPT1NScNGlSfn5+XFaWEpvNVlDQB7Cxsbly5UpdqOnpwOe/KiwsLS1tnTOHNUvabODly5ccDsfU1HTdunU3btxYsWKFiorKvn37bty4MXfuXAaDERYW9u+30hp+If6dV69QURHXrcMPH/DTJzx/HrW1cd++uXPnDhs2rH7FS5cu6enp8b++w8Tn48qVyOGguzv26YMcDk6ejFwuzpyJS5Z8rnb+PFpZYf/+uH9/XUlBAcrIYK9e6OuL69ZhZCSqqKCEBObkYHk5z9S0TEkpS0fn0cqVfDk51NHB5jgJJmdgTaA19C8PD1RTQ+H1N0RcvRp1dXH8+G9Ujo/H0FA8fhxnzUJPz7r7u1FR+WpqoVZW2KlTx44d9+7di4gYGLhXW/vM8eMhPXqkqKmhujqqqGDv3jfWrnV0dMzMzFRQUBBe33N1ddXR0ZGQkNg0ezZXQSG6f39VJaWwsDA1Nps7aBD27IlPn6K+vmBKHW1t7devX/N4vA/Ll1f3718yezbXweHO2bMqKirnz5/n5+ejm1vmqFHGxsYhISG/b7e19UuIiJiSkhIYGPj1m9lMTEyOHz/+SzbRGjrYP3j7FgcORHl5FBNDBweMjEREY2PjZ8+eNahoYGCQkJDw7ZV8+ICXL+O5c5+HGsbHo5ISJidjTQ0mJ6O/P44bh0pK+PEjImJ+PrZvjzo6OGgQnjiBf/yBSko4aBDSaGhvX6KqWkmhxKirzxk3zsnJqZJCeXH+PMrJ4deXMX8zksCaQGvoX0ZGqKf3xS1YHg9ZLNy06Z9aVVdj//5obIyrVmHfvrXa2mkMxo5p0+Li4tTV1QMCAlZZW18SExvk4JDHZFZNnYrJyZiZiQcPloiLnx04EBFDQ0MVFRWnTZu2evXqXr16SUlJde7c+aiubpii4ogRI5KSkhDR3d19f2goGhjgvXvcjh2f9+wZOGqUjIzMrFmzHMXFs6lUBypVhMncyGIV0ulvTExuSkt/oFC2iYrqaWsfOXLkt+42ksDqcLnctLS0+/fvX7x48d69e2lpab9w5a2hg/0gZWXlrKysBoXOzs4/NjHaoUMoKYmioignhwwGUqk4fXrdotGjcdo0XLYMFy7EuDi0sUFlZZSVRSq1Ulv7NZ2eIRwGWVxcw2JpamjwPDzw//c7mwxJYE2gNfQvNTXs0gX79sXkZETEtDQcPBilpAQ/B78jOhrnzsXOnbFr1/dv3nh7e0tKShoZGbFYrKny8nc1NV87OdUuXly/RfDIkeXi4sjlpqWlOTg4iIuLy8nJsVgseXn5ly9fYu/enwdhxcRkBwZuERPLMDZ+MGSIibz8PXn5dCr1nIjITSq1SFR0lpZWXFzc4cOHFRUVw/78c7icXNyyZaXJyfn1h1/9Nm39HpgQed3Dr6Wnpxf35ZQWXC735cuX+vr6P7CW2lpQUoK5c2HSJPD1hb59IToaduwAADhzBqZPh3v3QEsLevWCoCDIyAAAcHBIEBXVRlSztq5bydat9L59jYyNs0pLyTyHxH+UoiIsWgS2tuDuDkwmODuDhgbIyoKq6vfbdu0Kq1bBtm2QkqKuqBgeHp6RkTF79uw5s2ePk5IS9/LSy8igDhlSv4VB1668qipUUVHX1T379m3Jtm3Pnz2TlpaurKw0MTG5/eBB4pMnwOWCnx+MHassL+83ZozYmzfKhw5VlZfPNDBIWLMmgsWS3rBBs7q679Gj5ubmAQEBU6ZMiX7xwmvv3onXrkkYGMjLy/+uffXf8N9KYMSvNWHChJkzZ2YIkgoAl8udOnWqk5OTiorKD6xlxQo4dAgWLoTFi2HzZrh/HwYNgpUrgc+Hjx/h6FFIS4PSUujaFfr0gZs3gcEAW1u9tDRksWDpUrhwAYYMgf37YcOG9iYmkomJYG7+W74tQfxLfn6wbh3MmgVv38KnT5CRAQYGICkJjRtEBgBgagp9+kDXrtyrVycNHnx26dJ+J0+yudwJDx8WZmcXVlZ+rllU1H3hQh6NNktW1rNrV/kTJyrWrDmho1NbW7tt2zYvL68sff3369Y99/MDLhfi42HePEUJCWkeT51CeUOh3HF352tpfXBxEenViyohERsbK1hr9+7dnz592r1798ePH//qvfNf9N+dSor49/z8/LKysmxsbDp16iQhIXHnzh1LS8vQ0NAfWEVFBWRng51d3UcFBbh0CYYPh7w8cHMDCgVOnYLLl2HTJgAAHR2orobycti+XZzHq2Uy6Q8fwooV0L8/7NoFtbXuZ8+Wq6tL139/JkH8d0yZAo8egYUFDB0K0tIQHQ0PH8KFCwDw6tWr2NhYPp/foUMHIyOjf1rJ1q1w9GjeiBE7CgrE2rWj+PnBjBm3WKzXenqXRoyYIhzQuGULdO4sGx6eICt7/9Ej0W7d5Gtqkvn8bhRKzcyZOaWlh83MTqurc8+d450+Ta+shK5dIS3toZ5e4uTJoxYsgNjYjqdOhSgp0el0Go32/v17wVqrqqoYDAaXy6XT28T/7eQMrJWbNm1aQkLCH3/84ebmdu7cudOnT9fNjd1IDAbw+cDl1n189AjGjYP37wERHjyAjh2BxQIZGSgoEPRzaN8eRo6E4uLsHj0quFxks6GwEFauBFVVlJOrzchgnjz5678kQfwSDAacOAGbNkFBATx5Al26wIsXNQYGgYGBrq6u0dHRMTEx3bt3HzFiRHV1tbBRbGxsUFCQt7f3zJkzk5OTgUKBgIBOVGpOUhIlIQEWLAAREQqForVrl9+TJxWXLkF1NSQmwsWL8Pw5ZfToju7ukyZNGte7921EhrKy+YgR1ocPdzUz2//s2b127cQAaidPBkVFSE6G4ODTnp4R167ls9m33dykaDTZu3dFRERqamp4PJ4gmOPHj7u4uJw4ccLl6zmyW6VmufPWLFrDTeZm0bkzHjqEiJiUVDexYXg42tpiZia6u6O5OSopobw8MhgoLo4DB6LgIfSioloqNYdOrxQVTfbxueTmNl9cvFhFBUePbvpvQAZxNIHW2r/mz5/v4eFRVlYm+Pjp0ycfH59p06YJPs6dO1dTU3Pjxo1nzpxZtmyZkpLSjh07+Hw+jUb7euqmcaqqPCkppFJRRAQBUEYGb9y4e/eujo5OOIOxRkLiU9++ePjwzV277lAoeQAFANUAGRIS/KFDcfXq/fv3y8nJiYuIlIuI9O3UaQOHE21lpaenx2azFRUVt27dOmnSJHV19eXLl3M4nL8dafwbkFGITaG1drDf7skT5HBw7Vr08cH583HZMmSz0dkZR47EQ4dQXh7v3avLYYqKGBaGz57hkSNoYoJqarVM5g0LCx8fn3nz5qWlpWFFBZqb/9qJehuDJLAm0Cr7F5/PV1BQePvlK8Kzs7NlZGR4PN6tW7d0dXWLBTOLIiJieno6h8NJTU1t8CJmRKyqqjrAZHJ79sSHDzE+HoOC0NcXlZTw6dN+Pj7lAD0sLMqkpPYFBb0FmMZmXz5/voRCWU+nP6ZSK2m0zDFjVFVVU1JSHnp5RTOZ06dPP25vv53JlJSU1NPTExERERERYTKZcnJyAwYMeP36ddPsH4Fm7F9t4jop8a9YWcGDB7B4MUREwK1bUF4O/v7g6QkFBRAcDFQq5OWBqipoaoK8PJw8CWlpoKsL69bBhAlUNTUXf3+XmTM/r23sWDh3Dnr3br7vQxCNVVZWVlVVpaWlVb9QWVmZxWLl5+eHh4ePGTOm/qu2NDQ0+vXrFxERERAQsGDBgkOHDtFoNMGi4DlzxgEwTp4ENhsAYMYMsLMDZ2dYu3b9ypWM8PCF796Fl5be27FDRVR0fWnpgzNnKgDkBg7U//CBHxkptX9/WPfu+mPGQEnJ+5s35W7eNM3M3Csjs3n16uHDhzfdHvmPIQmMaARtbTh4EJKSIDMTrl79ZG0dumePxMmTnXJz2xUUUKZMAUdHyMyE9+/h3j1gMAAA7t+HwkIAgB49vliVoiIUFX1/i2VlkJAA1dVgYQEyMr/hKxHE97HZbD6fX1paKikpKSysrKwsLy+XkpIqLCy0srJq0ERZWTk/P3/JkiUDBgywsrIaMGAAk8m8ePGieXY2s1OnuuwFAGpqcOMGjB4Nd+9q373LB1Du1AmnTcvu1i0D4I2oqCWXKwow/MiRWoBkAB0uVzYqKnnaNMNlyzQqKuYePw7y8hQnp9LSUgDgcrlUKrWNDNyojwziIBpNXx9otHhpaRMjI+cNG9yLitJdXKoAsgoK8OFDeP0aMjOhfXtYvx6CgqBnT2CxQE6u4aD5Z8+gXbvvbGjrVtDTg5kzYfly0NeHBQugtvb3fS2C+Ds0Gs3Dw2OTYJDt/wUHB3ft2lVUVFRbWzsxMbFBk4SEBF1dXTExsYiIiA0bNlRUVOTk5PTu3XvmggVMHu/mzZvr16/fvn178sWLsHgx/8ULBHjLZMba2+dfu3b9zBlxKnUoojSNVshkpnp6mnE4uVZWilRqNY1Wqq2ts3p1jaQkyMtnPXgwUkPjwNGjoaGhRkZGMjIygvk7hOPp24pmuXDZLFrlNfomdeAAion9paDweOhQtLfHc+ewXTv+rFkZkpLr5s5FFRVcsAAtLVFGBmVksEsXDA8XTMlY1/z+fXRyQhoN27fH5cu/eCFFfXv2oIUFCu8f5OZit264YEHdx5oa3LoVLSxQUhLbt8c//0Qu97uBk3tgTaC19q+srCxDQ8N+/fqFhYUdO3bMz89PT08vPT0dEVNTUxUUFB48eCCsfO7cORUVFeFdMR6Pt3z5chkZGUtLS1MtrUIKxVlVdebMmav9/ApotBADg4NiYtf09c/26fNRROSMiEgxi5VLofAAeDQab/z4jjY258+fT7p9uwagQF4+i8ksMjE5IC19RV//A5P5yNFRnM2WkZFRUFBYv359dXV1WFiYkpJSjPB9Rk2FDOJoCq21gzWd+HiuquohSUmUkEAREXR0xIsXMSys2NnZ3NwcJ0zALVsaNklKQmtrtLLCTp1QRATl5DA0FO/fx8GD0dT0i1lThQwNsd7/CIiIWVkoI1P31mZvb3RzwwcPsKQEHz7EXr2wZ8/vvv2SJLAm0Ir7V3V19bZt2wYOHOjn57dly5bKykrhooiICDU1NTc3t/bt27PZbAaD4eLiIpyAdPbs2a6urpmZmYjo4+Oz19Y2g05/Nm8eurjkBgVto9GK2WzcuhWjovDKlUp1dVM5uXJFxQyAUhYr788/bZnMmxMmPKdSs+h05HDeqKjo6OiwWCxtbe25Eyc+YjCmS0g8fPgwKyuLw+EIRpqEh4c7ODg08f4hCawptOIO9svU1uK1a7hpE+7fj+npXy8vMTML1dREX9+6lzK/e4d6eh+PHFFUVMR58779AujaWrxyBcXF8eDBL866hg/HL6eGQ0Tk8ZDBwK9fHauri6mpGBmJ5uZfvNaZx0NbWzx37p+/FklgTaDN9q+kpCQ5OTlXV9eQkJCUlJTdu3crKSmdOXOmrKxMSkrqw4cPiFhYWCiYI+r28uUPZWSQQimUlCyg05Oo1Gh19VcqKqWysnwZmZkBATmampmdOx9msU5TKM8BzlGpi83MuPb2yGbjtGm3b9+m0+kWFhaLFy9O3rHjEZMpiGHEiBG7du1CxOrqahaLxfvVr4T9Z2QuROI/4N076NgR5s+H9PTqK1e47du/nzChvLy8fpWyvXsNc3IgJgZWrgRfX7Czg6Cg5yoqWlpacOcOmJp+Y7VUKiCCvT0MGQJiYp/Lhw2Da9caVqbRgMmEsrIvChGhuBjExSEmBvr1g/p3qmk0GDAAbt78V1+cIP6FtWvXTp06NSoqaty4cfr6+qNHjz5//vykSZNevXqlo6OjoKAAAFlZWerq6iIiImaTJrkj1lKppWVla6WkTBGnSEv3LC09LSUFHz92ePv2haKiKps9yNxcLjq6v55e5dGjSy5eZLx4ATQaODszGAwWi7Vw4cIlS5ZI2dmp/f/esLy8fHFxMQBQKBRE/Gacd+7cGTt2bM+ePQMDAx8J3nzW8pEE1ka9evVq4cKFQ4cOXbRoUUpKCiCCry8MGJBx6pR/Xp7SlSsBJib8v/6arK6+c+dOYStVO7slnTsf7dIF0tMhLw9sbWsuXnw9ePBOOTn4+BF69qyrhwjnzsHs2TBzJpw8CRUV8PWrRCUloaLiG5H16AF7935REh4OWlrA4QCXCyIiDeuLiHyeKIQgmtz169cHDx5cv8TW1lZCQiI7O1v4+4/D4WRnZ9fW1r58+bLs06f3fH4pnb7x40cGg3GpX79kJlMzKwtoNIf7943evi24eTPn8WNqr15qGRnnhg2rsLICJSWoqYkWExs0aJCbm1tERESvXr1GdO2aWVvr6uqanJz86NEjQ0NDALh48aKNjY1w7D4AwL170L//B3l5WvfuQ4qKpkyYILilt2rVqibcSb8LSWBt0datW11cXCgUipubGyI6Ozsfnzevtrj4j7g4Q0PDq1evKikpxefnl8+cudXCYtu2bUeOHAEuF168gIyMgwcPnnr3LruqquLRo5IbN1Kio//48MHi+nUIDq4bQF9SAl27wpo1ICcHioqwfTssWQIPHjRMM7dvg5nZN4Jbvx42b4YpU+D+fXjyBJYsgfHj6ya/t7CA6OiG9aOj4auhzATRZCorK9nCwfH/J5gdo7KyUvByeUVFRTMzs82bN3t6ekpJSVVYW+sBOFOp483MKMuXV2zfriMmlmhj84BC2VhRQRETUwoMdJKQuMHjHamqKi0sXJGe/pLLjRo2bP78+Z07dz5w4EAnVdULmpoS9vaFz55ZWVmlpaV169bt1KlT48ePX7ly5ec4goMhIOCNoeEQMTHzY8ccq6p6rF4dNG7ckydPtm/fnpCQAAUFcPIkbNkCV67A/+ejakma5cJls2iz1+gbSExMbPCesIyMjGHS0rdkZceNGycpKZmXl4eIkZGRTnJyVbq6MdHRO5SUUFQU2WxkMFBCAm1s0oYM2bBu3fFlyzIFd8t27UIXF6ytxQMHUFf3k6zsNXPz6b6+27Ztq6ysxNmzUU0Nhw79PGrj2jVUUsKvXrZZp6gIZ81Ce3u0tsYJEz6/XbO6Gk1Nce5crKhARKyqwsWL0cCg7uPfI/fAmkCr7195eXlv3779+m3mXbp0OXXqVP2S/Px8KSmp0tLSc+fOKSkp7d69+927d1evXmWz2VQq1djY+KCj4006PZ1O/0ShfKTTC5nMCSzWeAollEpVUFCosbLCGzcEq+LzeJaWlmvWrOmuovKWQjlJoQQC3KLRagCyqdT7ysr5NNp2Gk2ERmOz2Z06dbp79+7nOHJzUU4OMzJmz569bNkyREQ+H728BIOtZs6ceW7AAFRUxH79MCgInZzQxAR/qpuQQRxNodV3sEZaunTp7NmzGxSu6NnzGZ2emJhoaGgoLDwxenS8nNx1U9NCgFR19YzQUExMxBkzEABHjfqifU0NSkmhs3ONo2MllbrM1PSJh0elpOQaJyddXd20hAQUF8cxY1BGBh0d0dAQ27XDqKifiT4nB/39UUICTUxQUhJ9fT+nt79HElgTaMX96+rVq0ZGRhwOR0tLi8PhCGY7FC6NjIxUV1cXZI6CgoKhQ4cymUwajaajo7N58+ZHjx75+PhoamoaGxtbW1vb29vr6Oj42Nh8ZDCm+fpmq6sHKSmxmEwDDY08ZeXBMjKWlpbHxMVL670DeuDAgXQ6XV1dXZ7N3mxs/AAgHWC4jIy4uLiIiMi+P/+s7dlzHY1W8fXPuOPH0ccHEceMGSMY4oGIeO4c9uqFiIemTi1hs/Hly8/1jxxBLS2sN8aykUgCawqtuIN97c6dOwsWLJg0adLu3bs/ffnE1cSJE7du3YqIWFKCRUWCwmEBAVkMxofDh5WVlevq1dQkKCrOYzC4DMZNGs1/0CBZWdmdO3cil4s0GjKZmJEhXGdhYSFPUrLG1XXqmDHVdHpd6f37qKy8dcMGV1dXVFPDjAwsLMTbt/HlS/yHUVI1NbhtG3p4oIMD/vEHbtmCmzbhpUtfDD4sL8fERPz//KrfRRJYE2it/SsqKkpNTS3q/7+3Xrx4YWNjs2bNmvp1zp07p62traOjI5iTcM6MGbXBwZlGRi9otBMUSjdxccFc9YLrioaGhhQKJYjByKZQ3klKrqRQpklJvaLT3/foISoqun379pdaWn95eyNiYmKit7c3hUKh0+n6+vqTJk3q1q1bFoUyw9OTyWQWFhYqKSnJy8vHX75cCFD99YOV+/bh8OGIuG7dusDAwLrCmBh0dkbEa+3a3ffxadikW7fvjun9GklgTaG1drAGeDzeyJEj9fT0li1bFhwcPGDAAE1NzWf1LtatW7cu2MsL27dHSUmUkUF9fTx1yt3dfYi2NiopHZeVfTp9Om7dWqaldUFMbLyRUSGVOlxMzMfHx8jIiE6nX7hwAdXUUEQEN2yo6tcvX1w8l0IpBEAAPkAmhVIrIoKpqeX37j3u2rVMROS5kVEXMTG+hARWVX0/+vJy7NABPTzwwgVcuBDFxZHFQk/Pf3N9A0kCaxKttX85OzufPn26fkl6erqMjEzVl8czj8ebM2dOr169KktK0Nk509z8D2XlqM2bZ8jKVikqbtHVpVKpqqqqIiIinp6eampqVCrVQVIymkIpBjhEpQ6RldVQVZ0xY8YUR0eurGxnK6vo6Gh5eXnBUIvg4GBdXV1JSUltRcUKCuX+/fs0Gu327dtDhgzx9/d3dHTModF2Llp08ODB7OzszzE9eICGhlhbm52dzeFwIiMjERFXrcLx48+cORPFYpUdP97w206ZgvVO/hqJJLCm0Fo7WAM7d+50dnau/6zlsWPHDA0NhS93yD94MJNKTd68uW7xnTuVGhoTxMVlZGTeP3/+LjDwtIjIQ3v7FY6Ourq6jgxGKYXy4eBBQd2uXbtKSkp+mjABaTQ+m71STm4Zi8Wj0fgsFlIo12VlcwBKaDSemFgujXbayqpAXf2DoiIPoEBUtLag4PvRL1uG/v6IiA8foooKJifj48eopIRVVXj4MGpr/8T1DSQJrEm01v4lISFRWlraoNDExCQxMbFBobe398mTJ3HbNn6vXoocTlJSEiIGBgZO6ts3H2Bo9+6urq6+vr5UKpVGowlG1YuyWFcBqqjUagA+i8XX0Cil0Zbb2XE4HBqNJi8vr8BgrAV4IyX1hkoNZzI7iorWMJkdjI1pNNqlS5dMTEwYDAYDoAxAh8Nxd3cXXOGsC4jPx86dccoUrKyMiYnR1dWdYWZWIio6yNLS0NAwv1cv/PrfdgEnRQAAIABJREFUy9cXDx/+0V1EngMjfpmwsLD58+eL1Btu7ufnx2Awnj17Jvgov2IFxdHx1vz5W21tF8+b57NxY5+qqnVMppOjo5GDw9Tc3E+7d6/gcJbGxr5//75YS0ucxVJ48EDQtmPHju3atYt/9QoQeTU1XWpr59XU0KhUyh9/gJ2dC5ttTqNVU6mUigopaWkfALmMDIW8PAqAXGUlVUEBunSB/fv/adT7xYsQGAgAsG8fTJ8OBgZgbQ06OhAbCwEBoK0NUVG/b9cRxNfodHpVVVWDQsGLjxsUIiKNRoOrVzN79JCVkzM2NgaAmpqa0MjI+yxWsI/P8+fPSwsLu/D5gRSKbU4OrapqubW1MZX6F4dzks0usLZOoNN5FMrN588LCgpqa2uNpKVfiYmJAgwsLfVhsW4ihldWPqmpcU9Nra2t7dOnT1JSEp/PnyktLebq2tXL6+bNmyYmJgsWLIgWDNalUOD0acjLQw0NvcDAW0VFU9+9O+zhMXrjxvj4ePmxY2Hr1i8eZUlMhJs3G86+/d/W5mYvbvVyc3M1NTXrPty9C/fvA4XSQ0oqOzvb2swMAgLg9WsVE5Nhrq4lr15R9ux5sHDhO1fX0smTbVVVbcaPTz127OL585Wqqk5OTpWVlV5eXhQqFebOBXFxmDat4P79VVyuRUwMAIzr0GFAamoFlfrMwGDCvXvGmZlhxcXXWSy56moAECkvh2fPgMnc5ewsWl4++OlTqKmh3rwJd+/CqFEwfjxs2ABMZsPoS0tBTg4A4N076NOnrlBODkpKAABMTSEtrSl2IkH8X+fOnU+cODFhwgRhyePHj6urq/X09BrUtLW1vXTpknd5eY2YmGBieB6Pd+nSJWNj44/x8dSKCp3i4kOPHzMAJBGBz68FqHjwYFmHDrdqap4/fy6dkjJ48GDp6OilCQmFuroD09KmZGdjZaUVhXKTQklQUztRVnYvN/cSwLDqajNx8f2fPlGZzH5Uap/a2p6pqVKysn5+fikpKZqamv369Xvx4oWKigrIyb1eunTEgweuMjIGfftmSUgcCgvT3rKlU6dO4OUF166BuTlMnAhqavD0KezdC9u2gbx8k+7ff6lZzvuaRWu9xNGAq6vrhQsXsLwc+/RBQ0OcMQOnT3/HZH50dcXFi1FPDykUHDIEx49HIyM0MqoyN+dwODw5Ody6FZWVsWvXit69M2m0nE6dNNjswYMHIyLu2IFiYnwqtZpC4TIYL7S1kcns7uZ2VFf3EYNxzN4+ISGhMDoaKZQyCqWQQikH4FMoCLBTTm6+g0OtikqtmFisYBS+ri7++Sey2YLbyw317YsHDiAiDh6MoaGIiFwuqqqi4AV9/fphWNhP7BNyCbEJtNb+lZSUpKiouG7duuzs7IyMjMWLF8vJye3evfvrmkVFRVpaWo86dKiYP19GRub+/fve3t52dnYD/fxSRUVXdunygULhstkz5eWH+vrqamoebNcOAQ6Zmnbt2hUAmEwmhUKREhOrAkimUHYBZADYAUwxMEiiUpcAUCgUAIgH6AiwTlb2Bpt9Q0RkKZ3u17PnqlWrEDE5OdnAwODWrVuampoDBgwQRGVvbx8SEiIMksfjeXt7142qR8Rbt3DyZOzfHxcs+ObscY1B7oE1hdbawRo4cOCAtbV19YgROHy4YOTejh07bC0s0N8f2Ww0N8eOHfHECUTEmhoMCqqh0//q3RtVVVFTE//H3nmHR1Vt/f+79znTSzKZyaRXQgIkIQlJ6BBAepNiQIogSFHkilLkKihNBBQQBEUUEFSqAiIgVToGCQQIHWlJICE9pE496/fHBETuve/1en3hB28+Tx6emXXODHuvsFhn773K+fOuL3ln4sS90dEpej1jLMxgOOjhka1QHNRqy+rVKxaEy2PGUL16SwcOnOTtfUImkzp0ICJ65hlJr4/y8UkHqhiTGCvRaisUivTIyMI6dUr9/FZFRJC/P6nVRET165NMRgYDubtTu3b0yy/Vo9+3jwID6cwZ+v57iomhwkIaNYq6diUiSk8nT08qLPwTOqlxYI+Ap9i+rl+/3q9fP3d3d865u7t7kyZNzGbziBEjquN7S0ro7FkqLyeirKyscV265DLWXaUSBGHkyJGpR4587uaWGRw8mLF8QUgZOTIkJMS1/RggCFWMVQBKUeSc63S6Dz74oFZQkAM4GR7u5+eXDfhx7ufnt3rhwgLG/Bnr3r37raCgZoCXl5ebm1vv3r2VSqVGo3GN5PTp01FRUatXr+7Ro4dGo7Hb7dnbt29XKikkhGJiKDmZJk+m6dOvLVlSr169v1A/NQ7sUfAUG9iDSJI0cdy4Us4njRw5bty4iIgIvV7v7+8fJJcTMLdNm9zNm8nLi778ksrKqLhYYqxKo6HGjYsWLhw0aJCPj49arfb09NQolWUeHm/17LlHLl+m04X4+3/xxRdRUVGTBwyg2rVpwgRHaGgHuTxPEHJUqrzOnSVBuKlWVzDmCke0MVYiCDlms00mkwAJsMtkJAik19OJE6RSUUAArVhBxcX0zTfk40Nbt1ZPYM0a8vWlli0pNJREkeLi6MsvaeJEMpvp9+mif5waB/YIeLrta8uWLWFhYRfvZU2Vlpb2799/fO/e1KULublRVBRptecSE5tFRKhUqheDggqMxkJ//wNKZS7n3zJWz9Nzb/PmFiAxLIwxJgjCSy+91Cc5uVgQyoF+jP0ElAIVnFcABNgBu0ZzAxgMNHJzW8T5Hcb2M5azaJFDp/NWKA4cOODh4XHkyBGXT3WN6u9///srr7zSoEGDDRs2GAyG8i+/tJpMM0ND6dw5Skoio5H0enr9dUf9+gdEke71fPnvqXFgj4Kn28B+R26u3cOjT58+Go0mPDzc09OzdevWPj4+BHw7YICPj0/Ojh3UoQPpdKTVEmMbGzWy1a7dymyePn16dnb2nTt35HK5wWC4Fh1NS5dajcaBzz9vNBqjo6O3bdu2c+fOxW3anDAal7dvf0cmy5fLbYDTZXWMEWOXzOZDnp4SQAABTsacwG5Pz6sGAwGkUlHr1hQdTYmJ9P331QM+dIjCwn4bf3k5HThAmzfTunU0ZgwlJ9M771Bm5p/WR40DewQ83fbVqlWr7+//cyUioors7EzOy6ZNI7tdkqSe7dt/HxpaERlZWVZ26tSpZ7t0GdW0qbRjR35aWmZm5sCBAyfpdFYgxGDQarVeXl7PPffcggULvlMonEAx0F8QTnXv7uTcAUiMbQAKtdoMQbADhYy9xVhFYuIJxpyCUCwIdbVam8328ccfe3t7h4SEMMaSk5O7devm7u4eFBT0yiuvZGRk+JhM5O2dt2uXp6enc/RoeuEFsttp0iQaOfLYzz+vN5lo8OC/Sjk1DuxR8HQb2O+wWp1qdW1v7/PnzxsMBlfzvV927ZIAe3z8zMmThw8fTkQkSTRjhqRQxHt43HBzO9KiBa1fT5mZn3zyiVwuP3z48DFRtMycSe3aEdH+/ftbtGgxfPjwevXqrZs9u9LL64MPPtBqNENbtbKmpVljY8nfn/r0cUyaVCAIWxWKysREuufDCCDGJIBEkTw9q//08KDc3N/G7OPzR2pq/DlqHNgj4Om2L29v75ycnN+Jpk07r9NlDRhAn322e82a+Ph4h8NBTZvSDz8QkcPhSEhI2HpvX6G4uPjQypUOQXhdEAYOHPjDDz8MGzYszMvrBuAE8tTqCs4lwKFS9TGbjxmNmYyZFYpMxpxAIZB9/3HwvkHFxFyYMSPIZIqOjpbL5TKZLCwsbNSoUYcPHy4rK+vWrdvioUOpfn0iat++faVSKblKx12+7AwJadWq1ZLZs0mv/0OpmX+Ax2hfNVGITyNyeXpg4EqzuaCgIDIyMjAwEEDDHTuy3Nzcbt2a8OWXX1ks8PfH3r3IymJhYT/o9aqUFHb06NYTJ5rabKWimBAf31ypLOL8kptbTF4eAHd399u3b5eWlp44cUKVno5vvpkADOzYcc+mTSU9e5qzsuDlhU2bnMB1T89LeXldMzIAgLHqIRFJgCBJyM8HgMpKvPwyzOYHxwy7HQCsVmzdikuX4O2Njh3h7/9IVVdDDf/InTu9GXOuXIkuXaorUK9di1mzOKAtKcH27U327Xu7Rw9BENC2LU6dQrduQnn5aw0bXtyyJTYqasy4cfv27QsKChomivOs1iP79+87f765IHxUVSUJgoWof9Omo/LzQ9PT19hsGwsLT0nSZaIdRF5EDBAAb8ABPCMIHn5+n2VlmQDhzJk6Z87cYIw1bWrbs+eVt9/evXu3xWJZsWLF7t27O3fuPHLgQFy6BGDVp58iPLxJr15t27YV8/JGZWbW7dhxxIQJWLQIBQXw83vMuv3vqMkDezpZUqdO3ays6DfeeC43F4sXo1Ur/Pzzdy++WKxUSnq9v8WC9HTIZHA4bN7eRy5ditZqHZ6eoUbj2ri43g7HO2lp6NLlozp1CmvXRnEx9u//+eefOecjRoxQqVR47TXcuIFbt3xOnBhEZM7IIEly5uTA4ZA5nYkFBWMlCQUFACCTQRDQqROUSgEA5wAgCIiPx3ffoaioeriXLsFiQUAA0tIQFYXly2G1IiUF8fFYvPhx6bCGGgBgzhzExIzQaLJXrcKzz6J3b5w6hdGjHYLgZre7KRS4fr1cqeyyeTMyM1FVBcYwdixCQtpu3z74u++c4eHP6XS5ubmnT58eUVo6rXbtOjk5U8+cGXzmjEKrnWs0Smr1Tz/9lHHxYgXnrlWFnQiAp90OwMmYDmDACplMiI3d7HSaAwIkk8np4cEUCrZtG/bskbdps3zJkt27dzdr1qxFixZ79+79/PPPxagonD+PkhLv0FCVTvfea6+pVKpGFouqceNPP/2UV1b+lrLyJFPjwJ5O1MHBnw8bJhs5UpOZaTlzBq+8gpSUU0VFeyZN2p+YKPf2hkyGLl1w9KjzyJHU/v2bd+mya9KkyMmTR/v7+wQHJ9hsE5o3X5yZGRMfjy+/tPfu7Zw4sZdWG3/tGpo0walTOH4clZXIza1QqdaMGMFEkYxGyGRMoYCn5y1v7121awOATofERNSuLdlsNkGAq01RUBCuX0d0dLVzOnUKycmYOhV2O3r1wpw52LEDM2Zg6FA0a4bx49GmDbZseZzarOH/LF9/jbVrceqU37Fjgxl7sXHjW3a7pVcve3n5CklSRkWx777DuXPXe/eWrFasWoXNm5GSgtu3cfXqS/XqTU5O/jwxsd/u3fJTpwDICwomhoXJJOm6hwfc3Vl4+B6Ho7SiIkEm+1WSjB4eQ0wmtVq9GMhjLJixE2q1BOQx5gD6OBx1T506X1EBh0M2YMDduDhYrZ0WLNhVu7YtNxfNmtUdPHjo7t1DgoJcjcHg4YFBgzBgAPLy8PzzbQ8enNSyZaf9+3XvvQcA06aha9d/0l3vieOxbFw+Fp7uPfqH+OWXXwICArKzsydOnNi8efMrV66kpaV5enp++umnXl5ev1XBWbeuSBAqEhOLO3Yc6u6+fv36/Pz8zPPnyzk3Go1qtbpdu3axsbGNAwOvPffclZCQs/Xq0bPP0ptvEpFDpcqpU2eNp+fEiRNzFIoqxu4AVmC3KBYoFOWi6GTMolA4BKFKEH7W6y1JSSQIpFBQ69bUvDn5+5NcTv7+5O9fnfu1bRu1aVM9sOnTKTSUvviCxo+npCSKiaEXX/zT2qg5A3sEPJ321aQJ7d5NRHv37p0+fXqnTp2axsc7GLthNl//9Vdq2ZJ69qS0NGteXoZcXqlQpIWFFYti8/j4xMTEOnXqjB49+qOPPqLPP6fnniOrlSIjacqUsaNHa7VakbHXGMsAXgEuA8NDQu5wnqFS/SSTOQVhh1p9ijEn4GAsV6GQgIxatS7o9VaAgLuc5wESsHjRopvBwZWMpWi1s3v1WpyYmKlUbqxT5+uvv5YkiWw2mjSJDAZq0IDUalIoaPBg+vBDatGCGjWi/Py/Skk1paRq+Itp2LDh2LFj4+LiHA6Ht7d3/fr1ExISKioq1qxZ4yqhBgBLl2LMGEGSrG+/7T5w4Gy9Xujf39ts7lC/fr4kRUdHX7x4ccKECStWrDh09Wrot99i165nCgpyGSt2d++YlASL5Xpe3rmiorlz5zplspuCYFCp5EArp9Pd4bBKUrmbm0MQuCTJBaFJZaXi0CHo9VAo8MknuHoVAwbAxwcNG+KVV9CxIwBkZiI8HAAuXsSSJfjlFwwbhk6dIAg4dgwnT2LHjsep0xr+D3L1amlISIcOHcaNG1dZWRkdHV1QVmYXhMDAQAfRvA4dtuTkZLRq5fDzM0tSls327s2b6TLZyQsXKioqioqKqqqqioqKjghC6ZEjGQsX2k2m8eXli5Yulclkb02evCs8/EZgoE6pfIext2/eVBL5VVW1liTudHaorKxPdICxlYyZrFYG+N+4Ube0VAZcAwokyQQQY6kTJyozMrJ9fS9YrdN27Hjr0qUlL77YKT9/z7x5iYmJfxs7tuWhQ8+Eh7/j6bl2/HjHN9/Aywu5uRgzBj///IRV3PhXPBa3+Vh4Op8Q/0euXLkya9asHj16dO3adcyYMTt27Pjt2u3bZDLRzZu/arUnxo/fv39/kK9vcZ06FcuXX2jRYjnnn3CeIpdfDA+3zp9PNpvrQz/++OOHbm4fy+WJ8fF2xo7rdOuVypSpU21AhUZDgwYRIHF+1sPDKZNZOCfGyGCgQYNIJqPWrSkwkJo0IUmiwEBSq6lDB1q2jJo0Ibmc4uIoOZnatycimj+fRo+uHueKFdXlfRcsoFdf/XN6qFmBPQKeTvuKiHi7e/dXXnnlfi1sm81WKZNZBKGhyfTCCy+4u7vXrl07XqutZOwLvX58w4blsbEZ587NmzevdevWbm5ugiAMb9DgpsGwUK+fKoqJiYk6nW7q1KlJSUkqlerc2LGbDAbO+YEDBygvb/5bb6UGB+cytl6jiQN2M1YBlMtkrshDGyAxZnfFIjJWJpefYqyAc2tc3DC5/NVXX719+7avr+/tfv2WBAfrdDqtVtugQYP69esHBAR06tSpbt26v6tV/9dRswKr4X8FHx+fo0ePXr16NSoqKqS8PHfgwF98fOyjRiE1FXv3ol07BAXdmjEjYMGCouefX92vn3urVs4xY2RHjvRkrHH37tNlsp1+filTpkiRkXjrLYwf36moqNXixf2dzr/37FnauHG8w9HJZms8d64VcNrtyM+HXA65PKy4mJvNckkiuRwlJfjmG4giDh9GXh6++QYrVyInBzodRo/GzJmoWxcffICbN6HRYO9erF2LO3dw9251LOL8+Xj+eQAwGlFS8rg1WsP/LRxdutTZsWP27NmcV/9XKfvxR3J3L3E6U4g6/Pjj3h49rnTokCIIlUQ9P/+825076tOnTdHRQydP7pyeXnX3riRJsadPH5DJnDJZbR+f06dP16pVa9iwYV5eXkqlcuOqVUVVVdFeXl+PH0+cN/H1Dc7K2iQI7SsqDgGXOI8VBNXIkdV/NcDuBY6TKKodjhgiEbh55co6YMmSJZ06dUpISPj+0KFggyE8PDw4OPjkyZNnjh9/rW9fuVyenJw8duzYx6TI/zUei9t8LDwFT4i3b99etmzZe++99+2331r+QA7Hyy+/PHToULvdTvPnk6+v8733FrZps6lpUwoIoI4d6bXXXLd9vWjRO4wd8PBI1WrPAjmcT+vQISEhQalUfrdmzbGgIItSSUlJNHcudehQ4u+/skEDMpupb1+nVivd6wR2P+VL8vQsYIx8fQ+Joj0+njp3prZt6e9/Jzc3MhhIoyFBIMbIZCKdjlQqmj2bHA7q1Im+/57GjKnulqnVUkQECQLFxlZnq7z2Gr333p/TW80K7BHwFNjXP3LrwoU0uZw6dKB162jrVnr9dfLympuc/CnnlsDArRoNPfcc9e3rDAxcIAilZvOvffqMEgSb2bzA1zdFrd7LeUHPnlc5j/D0bAzcFEUVoFKpGGMKhaJu7drnOc/QanOBW4zR75O9JMABOO+9cAB2oJjzW6LoSqx03XwXuKFUNgwO/vDDD48cORISErKFsbz585VK5aDERGrfntRqyWzOZ+zulCluGs39peRfSM0KrIZ/z9KlS+Pi4o4cOVJVVbV8+fLIyMgTJ07cv3rw4MH+/fs3adKkT58+W7ZsAeB0OteuXTtnzhzx6lV88AFOnOCTJvVbt27I+fPOkyeRloaDB12fHTh69KceHr/OmbPDas0xGr1jY9/duTM1NVWn011+6SWTVvtmdDTu3sW4cdi5M7Nt23qXLr3bo8dum62od+9SxkgQCCgVRRiN4JwVFBiI7FZrLUCsrEReHn7+GevWYc4c7N+PIUMgSejfH3l5cDqRmopdu/DWWwgIQG5udZJN+/awWHDzJnQ63LyJZs2wfj3WrcOQIY9D8TX838UQFNRGobA9+yw2b8bSpdDpcO7c/srKCSrVldGj1Wo1bt+GKLKVKwsF4ZKn57ro6OWiOCYwMCw/39diaSFJRoNhw8SJLZ599pRCsZ/oEOftgV6NG3fR6T7/9ddakuQ7f/40rdaHqFIQUhgrZ8zuMijGipXKZYwdBgSAAWnAaCISBBtgI5IYyxaESiDfZHo1I+Pq1atZmZkzAwPrE92Mi6stCIvOn0evXrh7l+XmDvL1VWzcuNZqrbx48XEr9S/lsbjNx8IT/YR49OjRgICAmzdv3pds3rw5ICDAVcTz3XffDQsLW7FiRUpKypo1a2JiYoYMGVJQUGA0GomI5syh11+//0Gj0VhQUEBTppDJRB99RJJERL179x7XpEmxXL6sSRNq3/7WrVtRUVGMsQtAHGNhglDu6UlE+/fv9/f1zWVs2vDh48ePf8XdXQKcjBUKgg3Ib9ly6+rVp2Uy11OkXaEgpZLkcmralGbNojZtKCaGAgIoNpaWLCGLhRQKIqLCQnJ3p8aNafduio0lpZJq1SKdrrpax70DAOKcwsNp4UJXheL/iJoV2CPgibav/4HevXtPmjTp/ltJkqKjoxs3bpyRkeHt7e1wOFzy/Xr9TE/Prt7ebjJZr169evTooVAoPpfJDiQnr1y5slevXgDq1a07NTz8IHBXq7UnJv6kUHwE1KtXr1gmO8HYXnd3kXOHVlvOWBZQyfl5szldr78ASEAZUAAcA5yMZSQlVTEmAYXAt4xdYMwB7NXprnB+FKjLWGxs7GfA9SFDTp48+dlnn/04ZMhtxiqjo20AeXrSwIF/YSFEqikl9Wh4og1sxIgRC+73UL5H+/btt2zZcvbsWT8/v8IHyrRXVVVFRUVt375dq9UWFxfTm2/SnDmuS8XFxTqdzm630xdfUN++1KIF1a1LAwZUJCRkMjY3KmqLWk2imCqKsxib+vrrVUplv9jYr4zGc4wdnT/fx8dn//79RbVrdzAYVvbvX2E0VjFmYyyTsRCd7mvGDjP2qyCQq52Khwd5eVFcHMlk1Lt39eACAmj9egoKops3KSiIzp4lIgoPJ39/slpJLidBoCZNaNUq2r2bzGZSqYgx8vcnhYLmzqW2balfv/9UezUO7BHwRNvX/8CdO3caNGjwzDPPLFy4cN68eU2aNImNjfXx8cnIyGjXrt3kyZOdTuelSZMsjOWp1alAIWMfenhoVKouXbr8EBDwlk7XvXt3X19fAAqFQqPRyGSy559/XqvVbmWsG9AqNtbO2A/A20olY6zAw+Oat7erpG8OYw7O84F8haKYMVdRbOe9n9vAWOAaMK5JExswiLE4xnRaravryknG2nt4hISEzO3WLUcma6JUBgQEXAwPpw0baORI6t79L1RRzRZiDf+GzMzMiIiIh4R16tS5efPmjh07kpOTPTw87suVSuWQIUN27drlavyD0FCcPQuAiKZOndqrVy9RFHH2LGJjcfAgvv4anTqpP/hgfbt2Qy5dOmGzHXQ6sxyO5LZtp2zaZJWkz86cGVBVddfNzTRhwg8WS6uICENJyYrduxunpCz192eMWQUhQK9Pf/vt3l9/3ZyxMKcTAOMcoginExUVcDqxaRMGDqyO8oiNxZtvomFDeHqiUyc0b47MTHzwQfWdCQk4dw5t22LAAAwejHbtoNGgTx8AmDMHH3+M1FQcP/7oVF/D/228vLyOHz/+0ksvXbt27fbt2xMmTEhLS5s8eXJiYqKvr+/q1auH6fV81qwdwcG7bbY3mjdvqdMla7XTZLJVX3yRUFBwwGbbt3Vru4AAJWNWq7WystLhcGzcuFGSJJ/gYA1jTqtVAhhjLevX12o09uJiZV5eoVoNQAQ2EqkAm9WqJ7olk11QqQiwAGvVak9BWMvY9wpF39OnObCE8+Ny+SbOWxF5aDROotLi4ry8vIidOz/Qaq/qdDabzWGxOGUyLFqEEydw7drjVu1fQI0DezIwm81ZWVkPCTMzM729vcvKyh70Xi6MRmNJSclHH32UkpLSbdWqyi1bNo8YkZSUdPz48fnz5+PQIaxdi4EDwRji4zFgAFq3HnX58t+9vUdlZb0TFWUDtAcOZN++rbPZNJy/ZzAkq9VRRIcrK2/XqlUVEeGbkBAhSa9//31lUJBSkqxNmhQePFg5bRqIoFRCqURMDPz9IQjIyYEr7ezoUcTGomFDrFuHUaNw6hRefRUREUhPhyRh/XrUqQO9Hmo1dDps2YIuXZCTg6Ag6HRQKMA5Bg7Et9+iWzccOfJo1F5DDQAEQejXr59rBdazZ0/G2Kjhw48fP56QkJCcnPyeRpM6ZMjdN95oI5d/4ek59/PPe1ZVjSwvPxsaelWletNqvQO8nZpaSHQ5KenKsWMGg8HX1zcmJmaPwzGAsVKZrJzzxnp9u/z8XSqVJ5FFkj62WIgxI1EPIiVjvkCRTObncARYLBLnKi+vfg7HN3J5DlFzm61+VdViQdi3dOl2QWhVVrYbKHA6tcBgUWSMJWi1d4KCnE5nnL+/T2Zm4t/+NvqNNzJMpqxdux5gLCBzAAAgAElEQVS3Xv8CahzYk0Hfvn0XLFhQWlp6X5KampqSktK+ffuIiIjU1NSH7k9NTa1bt67RaDx69OigN95Y2qFDo9WrF1+48DGRJSmpoFOnkTpd+6FDP/nkk+Li4smTJ/dOSCjPzj6q1zdt2lTr7z/SzW3loEGVjDllsi0y2TiHY0u9em8x1l6t9rHZXszIKCoqyq2sbBEV1Tc/3ylJbOfOeYWFv1ZVWQBYLLDbcfkyzpyBpycAFBRAocCdO8jJwY4dWLgQ77wDqxXR0QgLA+fo2hWDBuHkSbz6KtLSUFiIH3+EXI60NKxahdq1odXCywvR0bh5E6IIh+MR6r6GGh5g40bExsLdPSgmZvTBg3OGD/ctKem/ZMngv/3ty2HDKq5d6zhixInKShXRZSCwqOgXxhoEB7fy8mocHHwuJSXwmWeuE+3JyRl84sTirCxvorfPnt0VHm602203bzYuKCjy9jYCH0qShWgbY5JaLQQGOj089tvtKW5ut4k2mM35ZWWSzSavqvqesYZEV4BCpzN22LAMi2XKmDGL5fLSvn0PCsIwh2OpmxsvK3u3uDivXbttxcWfMFYkCF9++aUlO/uNKVNee+01SZIet0L/Ox7LxuVj4Unfo3/zzTcDAgJmzJixcuXKV1991Ww2u5o1lJeXBwcHL126VJKk8vLyI0eOTJo0yWQy3e/+cOrUqZCQkL49emwaMWJxnTrdOO/cqtXp06d37drVpk0bpVI5YsSIU6tXV4WGfvjhh+7u7s2bNwfQp08fq4+PQxD+9re/OX/+ea7JtMzbe6iHR0F8/NsJCQ0aNNhap05h375RHh67tVrpgSBgAqyuhileXqTTuWIUCSCNhjp2JEGg+vUpMpLc3Ylz8vOjPn0oPp6aNqVbt+jOHfLyouhoUqvJ25uSkqhBA/L3p8RE+vhjmjqV/v53ql+f9u//j1RXcwb2CHjS7esPMXcuRUbS/v1ks1FJCc2bR97epNFQURERXb161Ww2f/PNN+E+PqVa7e3hw3d7eSmVSk9PT1EUC1asyBPFG5yPEIRYmWy+XH6bsTiNZppM5qxfv0qhkBi7HxzvvHfclcf5Op2usShu4LwUsAEVwFbG2jP2bkDAGcYkYBuwSy7PAe5w/mn79u937mxr2JAxdk4UHZw7XAFQXl4lCsUXnDvs9uWjRxfJ5aOGDvXz8xswYMB/H1hfE8TxKHgKDOzEiRNvvfXW4MGD58yZk/tAM62LFy82adLEz8/P1V9cp9MZjcaBAweWlJQ4HI7w8PD169cTUW5urslkunDhQmJi4ldffUVEw4YNCwsLmz9/vv3uXXJzo7y8/fv3h4SEtG3bVqFQFJpMWVrt+PHj69Wrp1AoUlNTDx06dEkm6+bnp9Fo3nr55WuiWMVYXufOtGnTr15e98MFJUBSKqvzvTgnuZxkMtLrqyMymjYlg4Hq1aP7gSeSRNOnU1ISEdHx4xQVRUYjMUYqFXFOKhVNn07Z2eTjQ507U7t2rsjJP06NA3sEPAX29W8oKyOD4aHGqrYZM6ze3jfGjLl79y4R7dq1S61WD/Xzu+3uvtXDY4LZ3KRJkw0bNsgEodTNbURMzFy1eoZM5uvr+8Ybb8xQqX40mYKDg48dO9a8eXOL2Ux6veTvnyqK+YzdjYmpupcEdhuwADsEYTjnaaJ4FdjBWI4oOjlPFQRRFD+Ry8dx3oCxQkG4+/nnV8xms1ZbxvlpszlVo6F7fdIlxhyhocWC8JZKtWThwjfffFOj0SQkJOT/d3URaxzYo+DpNrC9e/d6e3vPmzcvNTXVbrdXVlaOGDGiR48eKSkpsbGxrns2bNjQs2dPIvrhhx86dOiQmpqqUChkMhljjHM+TxBS3N2PbNoUFhZ24cKFD4YMyWfsF0DgPCwsLCUlhYho+3ZnSEid8HB/f/958+aV9uy5h3Nnq1ZUp47z/koLIMCh1ZKrg6XruTI0lOx2aeZM4rywRQsSRerUic6c+S0m3ukkf3+6epWIyG6nEydo6FDS6ah7d4qPJ5msuhDw+PFUVvafKqfGgT0Cnm77IiI6fJiaNn1QsHTp0qYmU7ZcXiCXf6RSLRk1ynHx4puiaHFzW9S79+GIiJ29egUHB8+ePbseYzdksi1btnyi1b7NmFwuVyqVgZznCoLBYGgYH7/ZZCLGSBCKVKpcUfzVw6NbfPx5tZoYkxi7zfl1X98yoByIFIRYlaozYzMVijPh4fmMNa9f/7vQ0LcYAzBfEFIEYYFcPq5evRxRLAfOKJW3IiO/9vO7fm+F52QsS6Mhg8E2fbpWrR43btwLL7zw3yimxoE9Cp5uA+vevfvXX3/9oMRqtfr6+n766ae9evVySVasWDFkyBAiSk9PN5lMCoWCc65QKCKDg6/1758hk7k6ml+XycoiIuxyeYVcLgFVjDn69KFvv6XRo8nL6+6OHW5ubv369UtPTy82mWJVqq8WLSLOibECtZoMht/1jXXZjFJJaWm3XnjhriDYGLug1RLg4JxEkVQqmjCBXJsYbdvSnj2/m9WNGzRtGg0aRG+/Tfv20Z/d66hxYI+Ap9u+iIgOHqTmze+/W7VqVWRk5LXduyk0lO7cKX/xxWsaTYGHxzecPx8ZuSwoqFyjkRi7KorvaDQNGTvF2HOMFQLf+/i0kcsZY4E63V3O1Wr1m5wfYqyEcztwkzFfb+/FJlMaY7n3Vk52wCKKZXJ5AWNVbm7eBgOAOZxvb9Hi5rPPntbpSmbMSBMEP41mE2MWUdy5alX6G2/YGdtqNP7K2MBevX6Njr4hCJJa7QBy1GqrQuH87ru8evXmq9Xbt2/X6XT3E9r+BDUO7FHwdBtYeHj45cuXHxJ26dJl3rx5MTExrrcpKSn16tWzWCz169eXyWTjxo1Tq9VR4eEnOb/SuPHVbduCzOZf3nvvHFDG+b5atTZ+9NEXS5bM0OmyGSs3GnNGjVr3ySdhYWEjRozQ6/V+fn5Fen3nyMjTcjkBw5OSfhg5kpo2LfH3z5XLiXMCSCar9mGclzFW4dpmdHMjxm6Yzc8nJdEHH5BMRp06ERFFRFB6OhFRRgZt3Up791Jx8X+mhbt3afNmWrSIdu68X4CYahzYI+Hpti8iopIScnene1v3kZGRhw8fpoUL7ycmZmVlGQwGrUr1q68v9elDZ89S06aONm2OyWT7OHcyVgpcUipncX5bp0sNCfkgMTHNzS0oKOiKQjGzc+cKoIDzfOCSIPzImHTvJMwG3ABKOM+SyVyPhtfl8ubAOMb2R0a+PXHih6GhGYLgAJyc35TLf/DxaabR/MI5Acvq1DkUFzfdYMiKjj6p1e6PjKwEPgwOLouLu6VQ1HVzK+W8daNGnHPXgfqfo8aBPQqebgOLj4+v3uV7gMaNGx84cKBOnTquxZkkSS1atGjVqpVer1cqlQUFBYIgjOQ8IzraZDIdPHjQYDD4+fmNZcwmk9HJk9Xfkp7+YWRkKefn5fJsQbgjCHtlssWMrVQoSgyGyr59nYxVMuYpl9/o0qU6muN+TEdQ0IP7itU/okgKhVSnTsNatU7+8gtNmUJGI73zDtWrRxUVNHw4eXvTM89Qq1ZkNtMnn/xRFWzZQn5+1LUrjR5NLVtSRASlprqu1DiwR8DTbV/VTJlCDRvSmTNOp1MlkzmXLyezmc6fv389KChosEp1QqP59coVIqKqqrsTJlwRBAmoAq7J5V/PnDl06FCy2W4EBVkUih5qNee8hDGTKH4LWIHtnHcLDJzImAOoZMzK2D7gMJDLuUOpTOXcDhQIQh4whLFcIATw8PBQqVSNIyLmKJV2xqyM3TEa74wdS4xlNG68TKe76e8/pWXLUs4zGMsDFoSFbRTF83L5qIQEZ0xMwZ49Wq3Wlajz57RS48AeBU+6gUmStGbNms6dO0dFRfXo0eN3vVGI3nnnncGDB99/u2fPnl69eikUijFjxmzbti0sLKxr166zZ89+9dVXBUFQKBSCIERGRjLGjkdEjHF3VyqVoigyxhITE9cBP8nlF0eOpOxs6tSJgoIkrdZVV3QX5ycZswBlwEHG3mfM4jrxYqwEcNz3W67l1/0fzivuH4Y9IHQy5hQECg8njYZ0OkpLowEDqHZtUqur+608+yzVrk3r1/977Vy+TGYznTjxm2TTJvLzo7t3qcaBPRKedPv6Q0gSff45+fuTyVTBmL1lSzp9+oGLkru7+wYvr0PPPWc2mxs1atSsWTOTydS9RYsqYBbn7ymVVSrVbW9vCg8vUCgsbm56vV4UxTyjsaWbW4TBkAVIwGa5PIUx571wxArAApwESoE8xvIZq3KVagN+YCyPsdmcj/P0XMtYKWPrRNFTEJKSkrKysigmhry9nUplMWOO7t0lxr5UqbIFYZ0ovimX75TJ0t9/X6pde3yXLq+//vrrr78+Y8aMP6eVmkocNfwbiKhfv34ff/zxyJEj165d26dPn7Fjx06cOPH+DRMmTDh79mzPnj137tzZs2fPAQMG7NmzZ8KECXK5vG/fvr6iWO/KFXHNGmNWllKpBCAIQnl5uSiKt27cKK6stNvtzzzzjKen5+uvvy7jPK5Ro29Xr3Y8+ywSE0u8vfcYjcXAPk/PRCC0Tp1zwD6TKQBo9N57g729AQhEeldSoVwOjaY6/UurRUCAa/QqV+YWYxCE6hG3bGkRxdsNG0KSYLGgVy/4+2P9eiQlITsbGRkoKEB0NKqqMH/+v1fQypUYPhzx8b9JevZEw4b44Ye/RP811AAAjGH4cGRl4eLFId27z27XDjEx9y9u3brVx8fHWlHRvHXr69evL1y4cM6cOdeuXfv74MFlgEIu/7FBg1d79Jhdq9aogIAwzoW7d0tLSwMDAz8vLR1bXg5J2gpUAc/abI2JABDAgAwAQD1ADXgSmYg4sJwxAYgIDi6RybyIpuTnN+N8u0wmczrPSlK9s2efffZZmjsXnEu+vjJg6+HDKZz349yzXbvGnG/Q6WLl8nnTpt25cSNDqXz//ffj4+MvX778mNT6X/BY3OZj4Yl+Qty6dWtcXJzVar0vKSkp8ff3f/DBx2azLViwIC4uTq1WDx069PLlyz/99JPZbF7XrFkeY9djYjZqtVcZ26tU9mzRokOHDpxzlUo1RaX6wdNTp9MJgjBo0KBu3t6/cE4y2XmjsdzTc/Lo0ZWc5wqCa5lVxJgEnFMqHVrtAo1mY0zM4f79bffWW05RtPj5OZOTq9dYsbHk40MAeXk5XD0g7kd2AASUMCZptcQ5CQKFhNB775FW+/DMu3UjtfrfK+j552nt2oeFU6bQ1KlUswJ7JDzR9vUfcffu3XHjxul0Os65XC7v06fP4cOH33//fU9Pz6NHj84MDr4RG3vo0KFFixatWLFi6dKltY1GO/C8KAqCoFKpACgUireTk7M4l8vlWq1WCRyUy+2MHRLF+Xr9CcABEFAqCDbGKu8txeyABFQIgl0QXMJMUTwgCCXAAK123759N27c0Gg0cTLZHSCaseTk5EPvvXdKFF3f5mRMAq7rdKtHj/4+IqLYZMoTxW8HDnRNat68eX/729/+nEJqVmA1/Bt27tw5ePBguVx+X+Lm5pacnLzrgXowMplszJgx9evXX7BgwfLly0NDQ4cMGfLT6NF9Cwvfe/bZGQ0aPFdR0TkkpNDT85Wff96zZ49Wq3U4HB9bLDH5+a+UlckZC9+wYYPTaTIYHE6nDuCFhc0/+UQuSSanM0cUX2za9IBOx4CchAReXq7z9AzJyGiyYcMdxgAQwB0O+e3b/NtvAUAQcO4ccnIAwGLh/v64F5QIIhKEMs71AKuogL8/FApkZuLdd2G1Ij39dzNv3Bj8D/wrNRqr/64Hyc6uXgvWUMN/R05Ojt1uB+B0Ojt37lxcXHz16tXc3NyhQ4fu37+/ffv2V69e3b9/v7e3d6tly6xnzvzSrt3WDRsmTZo04eWX37ZauV7/4eDB/v7+NptNFEWBKPa779aJot1uLy8vtzJ2w2ZbTXSCMVNZWRDAAAA6p1MkKrqX1MxcVQKczg61aw/S6yXGKnS6REmyA83eekuSpMjISIfDUVWr1hLOh4liVlZWuxkz8n/8Mchg+CY01KHXW7t1s1qtvRcv7nT58q8Ox4dJSVkNGgCorKxcvnx59+7dH6uO/ww1DuzJoLy83N3d/SGhwWAoKyt7SFhUVOTt7Q3g9OnTBoMh6vBhvP++xWxeu3Zto0aNvl67dqZOF8NYsCS5PnuXsT5eXr19fAqdzolWq7y8PMvXN9lgsBUWKiWpA5EA3GHsgMOxJiVlVXm5E2BHj1oZS7p50/fu3Z+dzgxXQ0tBAMAAp2v7XpLgdIIxALh7F0VFAD6MisrlHABzOnWSxAAQIScHTZogMhKhoeAcrVph587f5vPTTwgKAgCb7X9SUK9e+OwzPFBqCzdv4vvv0bXrn1F3DTUAAKxW6/Tp0w0GQ3x8vLu7e69evZYtWwZg2bJlZrPZZDItWbIkLy8vLi7u+PHjTZo06demzbF27SoUihGiuP3o0aN37hTK5c0kqchg8F+37qYkLfLwmK3TZZlM0bVrT3mgIlprYBowzm5/jsgEVAIWAAABfgAHZPd2FBvq9cZLl1YClRpNocUiEBmB4ZMnN2rXbrWb28ply3Jyci4KQoDdXrduXSJ69dVXW3fpcrBNm8+HD5909OjxyMhxdeu+/+67XWSyhYcP//TTTytXrkxISEhKSmrbtu3j0fJ/QY0DezKoW7duSkrKQ8KUlJRIV53cBwgNDU1PTwdQXFxsNptx9SpiYg4dOlS3bl2DwaDX6y9cuXJTp4t3c3v55ZebN29uNBozOX9OFDcGB38lCLVNpqu+vl+UlKQwZnHFZTBWAbQE3hbFN5TK40BroltAIPAO57WJmjidxFgl5xJjACoYuyuKViIAcP0JuFzL88XFKoUCADGGgADUqgUATidOn8bFiygrgyTBZkP//jh0CDt34vnn8csviIxErVrQ62E249VXUVj4TxTUpg26d0dsLBYswA8/YPp0NG6MmTMRGPjX/RJq+D/Hiy++mJaWdvbs2ezs7KKioqZNm06YMCEpKcnVssTFrVu3zp075+npeXbFih3Z2XZgjl4/XBQ3y2Q6uVw0GFSdO7+tVmPXLsTHv1RS4mu3e3z11QCtlqvVRASgbt26Ks4tnG8AVMDzQBJwCzgH5N9rnmK758Aul5auBRxlZdry8oSqKhFwAH0YW8BYhzt3mrz4otJqDWAsD1i5cqXdbs/Jydn17bcbN258Y8GClIgIcfz4g4Iwddq0mTNncs537dq1e/fujz766NNPP/0n8y8vx8WLqKp6ZAr/j3ksG5ePhSd6jz43N9fb23vNmjVE5HQ6T506NWzYsKCgoMrKyofuPHv2rJeXV1pa2vXr1318fKQGDbZNnmwwGF5//XWj0ThixAiz2ZxlNDZXKhcsWNCgQYPBgwc/99xz/fr1W8j5G4xFajT5wBDOX1Mqv2LMCRS7itC4lln3duftQCVwgzECbEC+Uml3JSY/EHwo3dszdOJ3YfSSTGZnTOK8+jCsXz9ijHx8SKGojmBkjPR6Cg6mmBgymahtW0pPJ0minBx64w2KiPiXxTiOHqXRo6l7d5owgS5dui+uOQP7p3z//fd5eXl/1bc90fb1Tzlz5kxQUNCDB89ElJCQ0KpVqwcl48aNa9u27ahRoy4oFJ+3b+/l5RUUFMQ59/b2/pWxyvr1s7OzPTw8jh07Vlpaun/gwFOcO95/fznnX6jVo9TqGIWiN2MngGGABXDtM7QDCgAJuHXP7orvvXDZoOs8zM6YJIp2wNVpqTHnpcBnongJaMtYbFDQIqBMEMo4L2RsFmM6zlUqlcFgeOGFF3x8fPbs2dOiRYsDBw78k8nfukXPPUc6HdWtS1otvfAC3bnzrxRVE0b/KHjSDSwtLS0+Pj4oKEiv18tkMpPJFBgY2LJly3/MX964caOPj0/nzp0DAwPnaLU73d2nTZ06YMCAF154QSaTzWjVqsjNrWWzZoIgANBoNGFhYaGhoaOBVZx/ptcXKxQngA0Gwx653GUtTsZyVKpzSmUlYAOcgAPIY8wBfKJSvSoITsBuNj8UppHHOcnlEmM2xsjP73f5YQ/++PuTIFDPntSyJTFGtWtX36nTkV5Pfn5ksfxuegMG0Ny5/5HqahzYPwXA3r17/6pve9Lt6x9ZtmyZq3LNg0ydOtXNzU16oBpn69atY2NjZ44aVSiTeZnN7u7uN27c6NevX++ePS1AiSj6+vp6KxQbvLyKGXMy5ipDkwmUcV7AuQPYC6Qydj9teR1Q5rK7B5wWASX3ojlcT5D3bS2fcytwHdgIVAF2YA5g1OnSGTvG2M9yeXZw8KXGjb8H9jHGGZPL5fXr19++fbskSe3atdu9e/fDM6+ooNq1afp0cjnvigp6802KiXmwOMCD1ARx1PDviYuL2759e0VFxahRoy5cuJCfn3/jxo2+fft26tSpsrLSdY/FYnn//ffHjh1bUFBw7NixWrVq/Vi3rsFiee7TT8UNG2ybNy/RakcePPgicOjoUSIKCQmRJCkjI+P69evrgA6S9EJpaYUkeSgUdUtLRaXSyRgDbnJusFgCLRYLIDDGGftZpdIxRsBzvXqNkqRyQLTZIJcDKBEEB+cWhcKNqLRFC0YkI4LZDMaqdxTvB2Vwjuho5ObCzQ2BgUhJQUwMuneHVgsAN26gaVNotVAofqeInj1x+DBu3IDd/qh0/2SzefPmF/4ZAGbNmnX/dQ0PwTl3Op0PCRMSEgRBGDBgQEZGBoDbt29fvnzZYrH4aDQlnL86enRgYKCrpEDvrl2JMbXDEVWr1hm9Pjk52eHn9z3nTs4zAgJOAj9JklqSZjDW2Ne3b0DAMIABMqAvoAEYYAXKAQB24Bbgdm8MNsZ++4+biBFZgGtANKAAnIxNEsWB5eWhRJV+fjOIXiou3nzmTFPAD+gIeHp6nj9//q233mrWrFlqamrMA5kA1axejehovPOOy6KhVmPOHJhM2Lz5f0PP/w3i4x5ADf8BX331Va9evWbNmuV6yzkfNWrUzp07N2/ePGDAACLq3bu3XC7ftWtXREREZmbm1KlTz507Jx4+XPzFFxOOHbtz5Uq2wdCa82xJUigUJpNp2rRpPj4+nTp14pxXKBTfO50j7Xan03lAEPyI4srKiLGzQH2nkwMCYwT8qlYHqFT1CgtzGjYMOX7cY82aTMYuA7EVFTKHA4C705khl/sFBJReu+Zx9Gi13zp9GozBywtlZaiqqhaaTLh0CXY7iouxfj2cTqSn48IFuLujogKLF6NFCxw8CACXL+PECQgCQkPx8cc4ehTp6cjNxcCBmDUL/9DPs4YHUSgUmzZtqqysjI+Pl8lkD17Kzs6uqKj4g9+TkZGxbt26f3XVbrdbLJb/aqD/n9G0adNJkyZVVFRoNBoAqKzEnDkNP/oor7KyePfuRdu2LXQ65RpNnTp1AgMDxVq1TDZbvw4dunfv3rlz56KioqSEhErGKolijh497+b28oYNc8vLO/r6Iisr2GYLBBjwGRAqirdKS3tERu7JzHQCwr1lViVwiLEuRAC2AV6M+RM5AAmQ3z9aBgAYiQ4zFq9U7nY6/e12TuR0OEYAKYzJV6/OHzfu2rVr7WbOHDRhwmqnsynnK0+dCggI6Nq164YNG1Qqldlsfnjmp07hmWceFrZrh7S06t7o/99QswJ7krh06VKjRo0eEjZu3PjChQsAfvrpp9u3b3/33XcREREAAgMDV6xYYTAYzl240Gzp0qCjRys3bDjaubPF3b2kpOTLL7+cPXv28uXLu3XrxjlPSkqSyWTP2mx3Y2K4IGSbTGvr1/fl/IokuTKUM4HkBg2eqV//x6oqsaDAAIScPAkiK+ccCAPOOhwfcu4yrCDOhWvX9ADsdri7213uigiFhbBYQFTpWoQVFiI5uXoartAMIgQGolYtCAI++giBgbBY8NJLaNsWO3Zg0yY0a4aLFzF5Mq5fx5074BxNm2LtWpw582h+BU8inTt3du0/C4KwatWqlHsAWLRo0f3X/xan01n8r3Ft6fwvT+WREhER0aNHj44dO6alpUk2mz0p6dS33w4wGMpzckw//TStWbPCdu3y8vK2bdt24sSJfceOfQW4jRtXmpVlMpneDw4eMGmSVpI8GZvNeVxk5MJnngmw2dRZWcWCcN1oJM6tjCUDTez2M+Xlll9++Q5wNZdkgAjoga5ErtD57kAsEQAbUMqYjXMA9nuBJDmC0JzIvaqqu81mEwQZkMFYLSAVMBgM165d69Spk9PpTDMalQqFifOIiAhJkj788MPBgwcrlcrz588/PHOZDP/4LFJVhQfSeP5/4bFsXD4WnoI9+tdee23uPxz/jB8/ftasWUQ0derUyZMnP3R1yZIlI0aM2Lp1a0BAQJs2bQYPHhwVFcUYa9iwYUBAQOfmzdeHhmaYzTcVih9FsYyxLYwNFoQ8xpbKZH9j7KxKRUAlYxcAOefHgK85v8PY5KioCplMAsoUCsnfnwShRKEoEAQCKjSaq2q1K7CeTCbS612b9eUKxUMtV347MPP2JpmMAKpblyZMIL2eRJFefJG6dyeFgvz8yHXOt3gxhYeTSkWTJhERbd5M/v7k5kbNmlHt2tS27UO9mu5TcwZGRDabbeLEiVqtdsmSJS4Jas7A/h0Oh+Ozzz4LDw9/URQPyeWvvPzyb2EvdjvVq+fqrVpcXPzGG29o5fLFQL4g3Pb2tisUdwVhkkLxjlLplMkqOXcdaBUz9rxMplQqv1epJGCBXG5j7DxjBcCvwAbGXNuG9zOX7feSwO4HRrkKtmVptec5p98fkjkViiqNpoKxK6IoARbg7chILy8vT0/PkJCQkKCgSs4PJycnJSX17du3TZs2RNStW7cffvjh4Wlv2kSNG/+u+YPNRlFRtG/fP9VSTRDHo+ApMLAdO3ZER0dXVYPWImUAACAASURBVFXdl5SUlAQEBJw+fZqI3n333SlTpjz0kc8//7xXr15eXl6//PKLSyJJkq+vr7+/vy0ri0JDj8XHLx0+PEGvn8KYAyhlrKle78/YWOBTQZjKGAGFnBcIwhSZLI3z/IgIy0sv/fzFFxLn1UU0OCe1mgCnXF6m1bpeSL16kavF0T0vZVGpXC317DodtWpFXl6/K5koCBQURK4y9qJIajUZjSSTkUpF48eTwUBeXiSKlJBABw+Snx+dPEk+PnTiBM2cSW+/TQ4Hvfcexcf/05YrNQ7sPgcOHAgICOjUqVNOTk6NA/vjOIcPp08/fVg6aRJNn37/3fHjx00m0wutW2crlWsaNPjqo4+amM1blcqKe0G8TmCxQpHGmK9KdVOns6hUVTpdHmMWUZyr01308bFy7gAq7nksC3CFsczfVxZ1eSwrY+fvGZfEWOm9xisXGbMC/QEHkCuXVzHWXBQZY7FG40bGHIy1DQz8tGXLra1br+jdm2y2Bg0a/GMRcHI6qV076tat4vDhtcuWfTFs2O169Sxdu/4r5dQEcdTwh+jYsWNcXFzz5s03btyYnp6+evXqRo0a9e/f33UM27BhQ1eFXwCZmZk3b94koh9//PHu3bujR49u2LCh60sYY5988klBQcHJZ5/9NSZma8eOb27YkFZePhuwcC7KZNuqql4GfmUsXZKGAKWMqSVJRjTVbq8lSbOuXFllNDacNAlEu9Tqdzj/RibbExBACgU3m7V6PWm11LYtu3gRRUV47TXUqweNBowpLBYGMG9vURBw+DByc+HtDTc3ABg6FHI5bt2q3mkEwBgcDggCFAp8+CGKinDmDEaMwAsvoGVLFBdj0SJMmID4eFitEEUIAiZNgiTh6NHH9dt5IkhKSkpPT9fr9dHR0Y97LE8SXJLw++NDAJDJ8EAycmJi4saNG88UFhqt1pmlpUumTv3x7t2fLJZG7u7FnDO5nDE2xGo1EmVWVZksFqvVqiwvN3JeKUmssjI8J0cmSU6A36vEoQBqEwVIEoD7m7OuS5wojAhABcCAIoUCQBFjtYgKBWEV5wJgtNmYu/shzssZ21dSEqdUnlIqt5eVdayqun38eP/s7Ipatbzv3ElISPiH2XJs23bV1zerTZueL7/cddu2n3S60OPHv/76679ar/81j8VtPhae9CdEi8UyZ86cZs2a+fj4eHt716pVq3fv3g+GwFoslubNm7du3drf3z8wMPD/sXeeAVFcXQM+d8r2zrLA0jtIk6YgCCqKBguWWLBiwRqN3WgSG7bYjWjUYIsFG7ZYEjvWgA1LwAYKIh2pS93d+/0Y5bUk72vyRQk6z6/dM8PsvTe5njnlnmNhYSEUCtVq9WefffZGs5+6ujo7O7v7AB40zSVJX4DPCaK3o+MOB4cKgMkGBrssLZOMjH5F6DlC6yjqCJd7QiLJad68zs6uACAfQA8QRdM5CJ03NU0MDlar1fMAHpBkFUAVQrUA1QRR3rw5btUKc7nVEyZgPv/FKTGaxlwuJklM03jSpBdGGJNAT5LY1BSr1djBAVtZ4fBwPGIEJklcfxBn927csiUuLsZCIQ4OxufO4bo67OaGT59+ccOwYfiP/hOzFtjbxMXFjR8//u0zGH+bxr6//gdr1+KePd8UtmiB3/K/3blzR8PjDWjf/q6T00Gx+AiPd0MsvkyS9TnxdQAVAHUI1QI8AagGqASoAXgCcMvMrAShGoDq160uDYAWoBpAB/CbUslYXfhlr8t6s6wMoAqhQoAyxrvI7DiEMEnWUdQxispByJkk7e3tly5dOmbMmOFSabWxMX7rLCnGuLCwUKVSJSQk1Evu379vbGx8586dt29mLTCW/0FlZWVgYODVq1cXLVp07ty5JUuW6HS6wMDA9PR0d3d3Ho/H5/PFYnFSUtKFCxcKCwvr6uqeP38eGhoqFouLiop27NjRuXPn1q1bjx07dvz48WKxOD09XYhQgLHxXYqKk0gGUdSchw8d0tIqKOrb58/DeDzb/PwQjFMBhDqdV02NqqxMnJSkzcwsAsAInQV40qrVGKm0eXa2y/nz9/j80RSlwvibHj087O01+fk6Hm/dtWsrLl68XlMjWr16vFarZTKSMQapFBCC2FiYOfNFSv3NmzBwIFAULFgAY8bAw4dQVgbZ2fDNN0AQsG7di1Xo0QMIAgICoFUrEIvh2jXo3BlsbaFNmxc3FBTAWwW3WP6QPn36rFixwsHBoaEH0kgYNAiSk2HWrBfZDaWlMGoUYAwdO75615IlS9q3b59ubz9ZLHZ6+NCovPyGSHQ7PDyfwyEAnovFWoBlJFlEENcpCiNkStN6ANLSEiM0msNJ69tXC5BI07ReDwCVAE8AAIAGKAHgIoQAVMXFxQSBMAYAhBCFkB4AAaQidJ/DAZLUGxjcdnfX0rTWwuIAk6A7cCA1bFgHqRTGj/9661Zvb++DBw8CwNz797lubnDy5NvTPXz4cEhISFBQUL3EwcFh5MiR27dvfz/r+3dpELXZIDTqN8QlS5b0fP0FMDMzk8vlBgQELFq0yNzcfM2aNREREXw+/5tvvjExMdmxY8fMmTPNzc0pigIAkiQ7duwYGxvbpEkTLpdrYmIik8mqW7QoJ8k+AkH//v27du1KU1T10qWYIIYFBh6RSi8JBAqCQAj5+fnNnjQpxcrqex7vLsB+klxkaXmYx7vh44MR0gI8J0k9QZQD3ORw9u/fP2DAgKioqGck2cnNzVAiqTI0PPf112q1+iemSj1CWC7H3bvjmTOxhcWLIJm7+4tKHAoFpmksFGK5HNfU4KtXsaMjtrTEkZE4Ph7v2YOZ0JqV1Ys42dKl/zlcee8eNjTERUVvrx5rgX0AGvX+eieePcMREVggwNbWWCjEo0ad2rt3/PjxAwcOXLp0aUlJyfXr183MzPLy8vCTJ0zb8WqEniBUi1ANQuUI6QE0BKF/aTMxUbGuAkE5SeoA0kmyFqFyAB1ADXPeGaAcoSKBoBwg/uUfal8GlV9N39AilIOQFiEtQJFAUGxgkGVomEmSJQShsbLCjo4YY51cvs/ensvlEgRhaGhoZ2fXpEmTZ+HhhZ9/fmvixEdxcaWlpfVznT179tsB9bi4uD59+ry9MGwSxx/DlrqpJzQ09OjRo69KkpKShEJhXFycnZ3dxYsXMcZVVVUEQcTGxh46dIipVf/1118LhUKKogwNDTkcjkQiEQqFPXv2BABXV9eDhoblAG1FIj6fT1GUEUned3bGVlbLPT2LAUwpCgAQQnwO55vOnYuXLi0EkADEcLmlL/dSlpdXSPPmpqam1jxeMUI1CPUIDVWpVCKRKLNFixlCobeDA964ESsU5XZ2t3i8/3hFaBrX+zcA8IgR+N49bGeHp03D69ZhtRpzubiuDnfujBcswBUV+LvvcPfuuGdPvGrVi8IcdXW4Uyfs74/j4nBCAl68GBsb459++sPVYxXYB6BR76+/QE0NTkurrazs1auXq6vrihUrtm7dOnToULVaPWjQoBf/6NfUYKEQC4W5IlEyQezg8dYghAGuIqQHqABYg1AvAAOAIoB8gF+Zaoc0XUsQVQjVATxDiHESal7quRqAOgDtS81XRBCXCAIjpJfL9QDlCN3kcgsQwgAFNP3CM49QKkCloSEmyYdHjtyiqDMcztyJE8vnz38QErJCLN7t7l4FcAehrQilACQg1NrGhgk3rFu3LjIy8o2pL1q0aMKECW8vCavA/hhgs6ReEhgYeOHChVclS5cudXZ2Xr16tVKpZCRMp4YBAwYcPnwYIbRz5065XG5qaiqRSAoLC93c3GxtbQmCYGwymqa3ILQaoWwOJ10ofKJWFwGs5HAWCQQrAHIAxGKxQCD4TC6/A3AX4CiAHuAMQVgAEARRDlBKEJv79u3SqpUTQRyztHxM01qC0MbGLl68GABux8ZWIVRNEFilwiSJRaJqhDBBaAEwh/MfNSYUYoLAzZtjS0scFIRpGisUePJkzONhV1fcvTt+vRLda+j1eOdO3KsXDgrCo0bhlJQ/u5FVYB+ARr2//iqrVq1q165dXV1dveTnn38Wi8XrmSMK27djqRTHxuqMjLoRBACYmJjUADCtzNcAIISCafouQjqAgpe58tcJ4pZIVEpRRwEWvLTAcgG0ADUAWoDrNF3GpMsTRA5BlCJU8Uq5qTqCqEAIAzwRCusQ0tP0AQeHRwJBsVCIlconEkmSvX05RWETEzx4MP7hh0dt2mgBqhGyEAg2bty4cP787zmcZwSxSia7NHFidkaGUqm8e/du/QRzc3MtLCzqk5lfpQH317+iEseBAwf279//h5cWLly4ZcsWAPg3JsB8QFxcXC5evBgYGFgvqampyc3NdXJyqi+MTdO0ra1tWlra3r17AWDixIkKheLx48d8Pr+0tHTYsGHx8fHp6elmZmZlZWUajSZixIjDycmWv/3WwdT0i0GDxm/YoLK3H3LnTlpNjVivD2vT5srhw/spaoRc/lNxsZlEcq+s7KRefwxgce/e/Li4XVKp65493bXafIDjeXkRdXWPCGL/qFFr1GqEEHfu3GMU1UyhMCsoAB4Py+V1Gg0tEhWWlxuJxZCeDhwOIASffQbnz8PixaBWw8OHYGoKiYmwdStYWMDy5dCu3X9bFIQgIgIiIt7nwrOw/AF79+6dPXs28y4IAKDTdcrMTK6qshwzBubNAyMjsLSEurr70dHfjhy5BSFNTg4GoAEuAFgBjAkN/ebXXxN4PLGt7azff18GwEfIWa8/otHYk2QHgGYYM1kbCQBtASoATAAc6uqEAABQptdrAcQvO4Qx+596maxortEgAFxXZ/3smUomE2dng6dn3ZUrdoWFXADAGFxcQC4nk5KqAJ4TRG9Dw+XLl39ZWNgDIb1eb1xXp1+71uT48Z9mzGjTpk2fPn3c3d3T09M3bdo0ceLE+mTmfwn/CgX2T5W6qaysvHz58p9d1el0uNFWCvjyyy9bt27t4eHx2WefAYBGo7l8+bJOpwsJCRGJRImJiUyFDjs7u3PnziUlJclksm7duhUWFmZmZrZq1SosLGzgwIGPHz/GGJuamhYUFNA0veT338dmZ0uFwiNPnpz67jsvL6/7ly+31WqTgoNzcnLsfvnFHaGf5XJhWFj/8nKHHTsOAywE6ABQsW+fjiCe1dYO0OmYBfV0du4oFgvOn38GkJmZ6YexLjOzF0JJCsV6glhXUVFRULAToWCK2tykyVePHkFgIDg6QmIiODuDWg29ekF0NHToADU18OwZpKVBQgKw+QUs/1YKCgrMzMz+833YMMjIWOzltff+/bPr15uPHUs9faoZM2akWHyFJCcNG7b/p5/OGBsbp6e7YiwEsEpIKANwra7ukJHRj6JkWm0lxjRAF4wJrRYAxABaABFAd4BigjDT66sA+AB6hEiMSYRMAQDjIrG4ory8BMADoSqE+Hq9jiRJnU6LEImQh0aDNRodQZAEYaPTVer16YaGjnv3Qnw8XL1KV1WNEYu1Gk3vrKxeEyb4nDwJqan7ra0fGBj0zcjIHzz4s40bb16/vm3HjitXrlhYWJw5c8bZ2bmhFvxPaRC7723u3bvn7e3drFmzV/N64S+6EBMTE9v+OSRJvl3GohGRkJDg7Ozs6OgYFBRkYGAQGRnZokWL4cOHb9682crK6tixYwsWLLCysgoNDSVJkqIokUhkYWGxZMkSZ2dnBwcHmqYVCgVJkggh9LIi9W6R6BZCA2m6u6npcIpKA1jI5RIE4SYWpyOUCbAMYLhUepAk0zgcc4oCgOUczjSABIoqREjF5wNAf5J8ilARExVDqDdBjABYD0AQxEmAuKFDz549a2tru8HO7jnAjz/+iKOi8LhxeO9efP8+vnQJN2uGb93C3bphc3NsZ4ejovCzZ//s0rEuxA/AJ+VCDA0NPXDgwIsvycnY0lJfWWlnZ7d69WqRSNRDKKzgcE6q1dkIXebxjkkkjwHqhMKFHE42wC88ng4gGeALhJby+XqAXICDBHFIpRoGsLplSyYwVgFwGSANIAehSoBRAFUAhS97qbzI3SAIJiRWRZIrBAIMkMXn63x9UwgCU1SlgUEJE2O2ti7kcOo4nEM8Xl5eHjPqXzmcXjTtj1CKVIo/+wzHx2OMzwqFK1u1oml6w4YN2N0d/5HD8G3YGBjGbKmbd0Cr1aampiYkJDC5LcXFxaNHjxYKhaampkxwSygUKhSKmTNn+vv79+vXT6lUnj59esqUKQDA4XDkcjkA2NnZWVpawsso1xxv73iSvMnlHlcofoiIuHz5slAoFAgEAoTSDAyuAuwhybEEIeXzCYJwcHA4ZWs7jiRHdOhQTdOVHM5xgByAywA6gMSWLb8NDX3K460jiCRHRwDYBDAGIYQQTdORXG4NQFMu9765efL8+Y8ePdLpdHjIEDxz5muTrKjAN2/+WVGovwerwD4AH8H+end2797t5ub2IsVszRo8cuTixYvbe3llbt7cWaHYvnZtjqlplUx29KuvZvr4xNrZ3SKI3ymqr1K5C+AcQBJC20lyH0JPESoHUAkEdxB6QpITKUoiFO4AyAC4zeNtIYgEgqgFKCXJAoBagJYASRRVRRBMnY5KhPQAlQDLpNIMPh8DlCOUzuHoAEpEolKE9lMURujB5MklSmUCl5svFtvY2GzevPnAgQOjOZyzCEVR1A0HB+zmhm/fzjl5Mg9g4VdfqVSqmTNn4s8/x3v3vstqsArsP7Clbv4qNTU19+/f12g0FRUVlZWVw4YNW7t2bUlJybhx4zgcDhMho2na3NycIAiEUFxcHMbYx8dHpVJ17dqVIAg+ny+TyWxsbH799VdjY2M/Pz+JRMLhcAZwOJcRsjY37969e2pqqrm5uaVAkEcQzjQdExPjY2OzhyS1AFUEcQegPUIcDsfAwKCjXJ5JUdVSqZlAMLJJkyyKCvf2Dg0NLQkJqejWrQigCKEAgeBzY+NjMpnG1hbXJ+9qNHjCBCyR4KZNsZkZ9vDAly79I0vEKrAPwMe6v/6MuXPnGhkZDR069GBIyD4jo23GxjqFIsvJ6aGRETYywsOGYTc3vYtLFUI1JJmNUByHc1UmyyaINQBPAbQAdwF+JYjVXC5BEK3k8hqAUoS0CGUB3ACQiUQURfH5/FMUFYWQKUAJgAGAEUleVSoZC+wpgA6gL0IyHu/Oy0KjByWSArG4QixO++yzUoQwQCGHM9jVdRmPV0wQw0QiJjO5iYPDLwhVA6ygqFy1OtXHJx+hKKlUrVaHh4cvXboU+/jgixffZSlYBfYaxcXFvXv3ViqVrAL7G+zfv9/HxycrK8vLyys0NHT+/Pm2trYkSapUKisrqz59+vB4PF9fX39/fxMTE6anJZfLdXR0LCoqcnBwYCp7xsfHCwQCEqGfCSKRwzkcFTWhbdtIgngEMJMgOBwORVEkSRrR9HMAiqJompZSlDeAC5d77MiRCoQKhgy5i9B4O7ttzs7PEdLb2GC1OkmhyEJIGxKSKRKlqdX7vLxUYvHZs2dfDL1nTxwR8Z+DXAcOYCMjnJKCU1Pxjz/iH37AV6/+vTVhFdgH4BPZX6+Snp7+448/bh8zplYk0nfsiAsLV65cOW7cOPzgAZbLca9euKam1spqjlrNuEBkMlkAh1NIUV4IXQE4ALACoTiAQwgxFTo0CNUB5BLEPgAAQAjJZLJDAN0ACIJYC7CLpjkAfD6fOQ1WjtBlgJUAGQBVABiglsvFISFMEVENQfzOVL2Jj8cYl3Xo8L1KVWxoqAkK0s+ejUeOrJXL9/F42wF+RygbwI0kW7RocezYMbVanbl6Nba1xa+kWf4XWAX2B7Clbv4SOTk5KSkptbW1er2+V69eBgYGXbt2vX79+qZNm6RSadu2bYcPHy6VSjds2ODp6cnlchm3XqtWrfh8vq2tbbt27W7fvu3o6Mg8LSEhwcnJKTAwMMrS8ixAHkABwHGEWiPE7CvGsPN3cdGQpIzHW4hQKUEkU9RDgHSC0FFU0vnz4QhdoKhiLvcRj4e7dMkZMiRKJuvYtu3Dhw/Nzc2NjIymTp3q7e3N5/MXLFiA793DpqZvJs0vWoSbNMGmpnjYMDxyJLazw9264fLyv7o4rAL7AHzc++u/odFgisLh4Tg39+zZs77u7vp587CREXZ3x0eO4ODggIAAT0/POXPmUBRlyOMt5XB+UigMpdIpBHH9ZR78XhubsWPHIoQ+t7auBSh6mV+HEJqA0F6EAEBBUQlKZTbAlfrjzC+PhdWXlaohiJ+nT985ceJzmu5NkpUWFgV+fnnjx+tPnMDGxpePHfN2c8O7d+OZM/HatTgtTafTde/e3dHePrVly2pT0+vdu39raHjL3R2bmb1jAAyzCuzD8LFusIsXL3p4eBgZGTk7O0ul0lmzZmk0Gh6PFxYWZm9v7+npOXDgQBMTkxs3bgBAYGDgqlWrjIyMEEIEQQiFQoIgBAKBRCLZsmVLcHAwxlin03Xu3NnVxeWCk9NDmp4qkVyYNm0WQkU0PVGpBACSJM3MzJgnVDo5JRoYHEbInMtUuoFomtYSRDs+XyAQMGZfaGhoVVXV0KFD+Xx+YmKih4fHwIEDBwwYgDFOSEjw8/NzdnZOmjIFf/75m3MbPRpLJLis7MXXmho8ZAh+63zl/4RVYB+Aj3V//W9+/x07OeHp07FYjM3Mqkjyhq1txa1bmMvVr1hxJyREIBAsXLgwfsKEx0olFos1FFVNEGv9/KRSKUKoCqAEoDdCXkLhQGPjMwCXSbIGoItAwCgwPsBjgCKAOoLQAVRSlAahCgA9wEOEmAKJGoQKAPIAfgPIpOlSobCKz9cC/MblpkokqRT1lCDmhITs2bOHpmm9Xv/GDOLj43v06DHEyemgi8uzLl3wmjV/6TWRVWAfgo9yg928edPIyOjQoUPM12fPnoWFhQ0ZMkQsFgcGBnp5eU2YMGHo0KFisZjD4RAEoVarmXQPZ2dnps+subk5j8dj8hL5fP7UqVPt7e2FQuEAkSiZJB0tLa2trWfPns3lclup1RUCgQlJDhs2TCp90d+8L5+vR2gSl1v+5ElLZ+dRAHkAy4TCa2r1rVu3IiMjaZomCEIkErm7u4eEhCQlJbm6ukZERHz//fdlZWXR0dEeHh6LFy+ObtYMh4W9OT1jY+zp+ZqktBRLJLii4i+tEqvAPgAf5f56JzIysFqNMcZ6PX769Hlu7rBhw+zF4hKK+kIiOaVSjR07dk1ERKlQGNenz/SvvpphYlLZuvXvFDWRJEMCAnQA80Wi+w4ODwjiDEHMt7KSSSSVAAukUpIkCYKYSFFPeLwDHA5TBTiLwykBSCbJUg6nDGDjtGkcDmf06NHTpFI9QpcQkstkIzp3bmVnZy0QFEZHlxHEJienLwYPFovFHh4eFEW9WjLqH4FVYB+Cj3KDRURErF69+lVJWVmZgYEBTdOTJk2qf9UqLCxk6kUxusrQ0JCmaXt7excXl4CAgE6dOoWGhgoEAh6Px+g5iqL28HhRBIEQYkJcANCkSZPDQuFAhCwsLFQqFUEQALC0UyeNi8txmtbw+UUEccXY2J0knYXCTIIgCIKp1uju7h4ZGZmamqpUKmNiYpo0aWJnZ7d161a1Wq1Sqby8vJjK+Tq5HD99+p+Z6HQYoTdzFDHGDg74LzqWWQX2Afgo99e70qQJfr3hQ/XXXxd17Fhw5w5WKh/9+ut5DmdukyYCgcDS2Ph3gWCgUGiLUAWX+3lYmA5gQ8uWP/74444dO0xNTTdu3Digf/9ahKbIZI6OjiH+/iUE0UQgGMnjHebzmU03GaE6AHeEMgDKKOo4l1vr7JxCkkVi8W0e7whJtpfJQj08hltbpwgE1/39mSGNHz++bdu2NjY248aN+2dnz1ajZ/mbJCcnt6mvxQ4AAGKx2MXFhaKozMzM2traeiFJkkwtxMjISG9v7+XLlz948MDR0TE8PPzOnTs3b96sqalBCNXV1QFAv379DBDK1uuZ1HmdTgcA9+/ft/b3txQKNRqNubk58+T4o0dTfv+9o05nTFEWfH5nrfaZTCanKEokunr1amZm5pdffllSUvL06VNfX1+tVjt27NhHjx4ZGxuPGTPGycnJwsLi4sWLa9asoYyMVksk0Lo1xMdDbi7cvg0jRgBBQN++r01Yq4XcXHg5LxaWfwXr18OQIRAdDdeuwcWLMGoUd/t2xbp1SldXWLTIdtAgP53u9v37A7XaE8XFeQYGh0jyKU0XkGTh1avpJNnp9u3y4mJ3d3dZba1NTMzsnTspjDtZWDSzs6NSUtIIwq9Pny/Dw6usrb28vEQi0QGECICnANMBLur1uoEDpyiVUb6+ZRUVE+Ty8xgvLCv76datIVlZcysr+xYVmZiYmJubx8fHX7p0afv27bt3727o9frHYBVY44bD4VQz/R1eobS01MHBgaIoFxeXcePGjR8/3sXFRSQS1dXVqVSq/Pz8qqoqNzc3nU5348YNQ0PDp0+fKhSKZs2a1dTUMF6LuLi4u1VVXhSl1+tTUlKYkjk6na7g1KlblZUlJSU3b97EGBMEcZskLQFcMDYwMNBqtWVlZVqtNrys7ATGer1epVL17Nnz9OnTycnJT5488fPzs7KywhgnJiYCwPXr19euXUuS5JIlS6ZNm7ZBKLz35Zewbh14esKAAWBoCJGREBPzn4nt3QsqFdTUwGefgYUF7Nr1AVeaheXPCQyE69chJwdGjYIZM0CphNu3gSnVMXQonDmD9fofnJx6GhtP0WqHkOTAQYM4HE5tZWXf/v2z589XlJb2mzXr2ZAhFwsLTZKTrfR6bY8eZZWVy06cmNqrF8nhbN26dd2+faWpqdevX6+pqeEKBLUAPTA2A7iv13eOjV196RLv3j0Bh5OQl7cE4wAut2fLlmfnzt2N0NOsLLlcbmBgwOPxMMYymayoqEiv1/+NWdbV1V29evXAgQO3b9/G/5KqRg1ix42VKwAAIABJREFU9zUIH6WLIyoqqlevXrdu3aqvK5qeni6Tyezs7DDG165dW7Vq1cqVK5OSklavXs0U4zA0NOzcuXN0dLS9vT1Jkkw0y8TEhMfjMc5DJhfDDSAXwBMAABjHxTCAhwBcAMbTyCRxmJmZTVGrnyE0mCCcBILezs5rKeoJQtYCgUqlYrztx44dk8lkYrFYJpN99913Z86coWk6PDx81KhRxsbGjo6OAwYM0Gq1/fv337Zt22vTe/4c+/ridu1wbCwePRqLxdjUFKelYYxxUhJ2cPiz8vNvwLoQPwAf5f76pzhCENq1azHGp0+fFgqFrVq18uXxsgF+u3Rp0aJFYTY2zywsdABagKcU9fC779atWxcSEqJbtSrN3r6cohyl0o0zZ+YD9PTxcXNz2+jjc0Usfk6ShQCfAYgA+vN42STZmyQBYODAgQghEqHxUukhirqvVCY3a6a9fbtFixaDBw9u27athYXF35jCpUuXnJycvLy8unXr5uDgEBgY+ODBA+YSGwP7EHxkG6ykpGTw4MHMi5VSqbSwsNizZ8/+/fttbGxiYmKcnZ03b968aNGiiIiIwYMHh4WFMYciAYDP5zMxLbVavWjRIoqiZDIZo6K4XK5EIvHw8ODxeADQm6ZLRaKjABsQugpwHcCZ6aFHUX379pVIJCKRqGPHjjRNh8rlRymq1sREY2e3nCB8bG0JgmDCbGPGjHF2dnZ3d7eyslq/fn23bt38/PyaN2/eo0ePAQMGyOXyjRs3MjNq3779G52jMcZYq8VbtuChQ7FYjCdNeq17bFIStrF5l7ViFdgH4CPbX/8sLaVSnVKJ16zBJSUJJ06MVKuzaLo/AEEQpqamkZGRDmp1OcDKpUslEklpaWmHDh0OHTpUV1ZWhVDx+PEpQuGEkJBhCFWIRM+Dg0sA8iMidCrVPYIoAigHOAfQEoBx+Pv4+HTv1CmByz0LMN3BYYyn5yoLiyIOZ1nTpllZWRRFvd3o63+SmZmpUqnqOzrp9fqYmBg7O7uqqirMKrAPQ2PfYI8fP969e3dcXNzDhw8xxmFhYSNGjNBoNIWFhWPHjmXSC728vGbNmrVq1arJkyeTJMk0UVUqlRRFKZVKxvXHVEQUCAQkSTIOw/p69vVwuVzmgxShzggNB2iFUL27mbG9XF1dv/zyS6ZnK0EQUVFRCxcuZPQWk9BI03Tr1q1JkkxNTVUoFGq1+unTp5s2beJyuWKxWCgUGhsbOzs7M2fVb9++rVKpyuoz5t+grAyLxX8gl8vx8+f/c+lYBfYBaOz7670ycODAVaNG4fbtsViMhUK9v//OIUOsrKy6detmbW1tbm4+oF27OgMDjLGPjU3eF1+ckcvzO3UqWr26AiF9aekkqTSHpgsAqggCm5ufBKgbPx5fu+bg4CCRSKytraVSKUEQBEEoFIqffvopfdKkC2Ixn8v19vbm8XgkSUYFBVXw+UMNDU8jpDc0xPb2eOxYXFDwjuOfPXv2253AOnTosGfPHswmcbD8d3Q63eTJk/39/fft23fo0KHg4ODevXvfvXs3JiZGIBAYGBh8//33z549GzRoUGpqanJycnJy8sqVK2ma5vP5v/32G03T8fHxwcHBMTExTZs2LSwslMlkLi4uc+bMYepLYYwBgMPhMIYXANTU1DAfSjE+ArBDKDyHMeM1l8vlQqEQIVRYWBgUFJSUlAQAer2eMfh69uy5bds2sVis1+t1Ol1mZiZN0/7+/k5OTubm5itXrly2bNn8+fNDQkJatmxpYmLy4MGDuLi4hQsXtmvXbvXq1WKx+I+XgKJAqwWd7jWhXg91dUD9KzoqsLD8F1a0atUtNrb4woUqgaCWy42XSiccPbpv3779+/enp6dnZmb+9MsvFEHA/v1n8/Nv/vprsotLqoGBJDaWwnjDxo2Jbm5dvbwCFAojkuwfFNQOYIuLS7d58549e6bVasVisaenp1AoPHnypEwm69OnD+fkycvu7nqAHj16jBw5MiIiwjYsrFom+766+oStLbp7F44eBS4XvL0hN/ddxn///n1fX983hM2aNUtNTX0Pq/VXaBC12SA03jfEefPmtW3b9vlLU6OsrMzX17e+agbD3bt3FQpFkyZNdu3apVAoFApFz549RSKRVCr19vbW6/VJSUlNmzZlbm7evHnr1q3LysoQQkxVDoRQ586d1Wr1H/5Pgl4CABRFubm5URTFpNdTFMUYc0zSPPNA5mUQABjzjqbp+i455ubmffr0adeunU6n69mzp1wu53K5X3zxRb0//U9p1gzv3/+a5NAh7OPzLgvIWmAfgMa7v947Bw9ia+uqU6cWLFgQGho6xNc3W6UqW7DgzduiozGfX7NxY4cOHRwcHFyl0mdmZskkuUQkevDgQWBgoLGxcZcuXeRyOYfDsbGx6dKlC0EQCxYscHZ2trW1ZcLe3bp169ix41Uu9+rKlTY2NkZGRiqVKjc3F1dU6Gl6gULB1Ip7wdSpeOzYd5nBiBEj3jiugzEePXr0ypUrMetC/DA03g2mVqvfKKm1fft2mqZfbQg7adKkyMhIf39/Q0PDyMhIDocTEhJibGzM5/P5fP7WrVtXrlwpFAqHDh26fv36Pn36WFpaHjhwAACEQqGrq+vbXsR61cV8YBQSAMjl8s8//1ypVKpUKrFYbGRktHXrVmtr6/r7eTweU6cDIcQcPgsKCnJwcOjSpQsjFIlEfD7fx8enefPmT58+NTAwKCws/N+rcOECVqnwunW4oAAXFuL167FKhc+ff5cFZBXYB6Dx7q/3jqcnPnHiNcm9e1ilwlptvSA7O7s2KQkrlVipxCEhBW5uJTT9DU13t7C4QxBGRkaurq4KhSIoKEgmk7Vu3ZrL5fJ4vLZt2548eXLAgAEURXG53NGjR/fr108gEGwlyW/EYoIgnJyc5HK5i4tLX7W6EqEzCxe+NozkZOzq+i4zOHz4sKenZ3V1db0kPz/fxMSE+XeJdSGy/ClVVVXFxcUOr3d37NSpk06nY5LRGR4/fpyWlmZpaWlvb3/27FmZTPbrr79GRkb27NmTJMmoqKht27ap1Wp/f//jx48zb2GzZ88mCKK2tjY/P5+maaaw76vUW10AUJ93S9P0oUOHiouL8/PzKysrx44de+nSpezsbOZ+jLFOpysuLsYY0zRdXV2NEEpMTFyyZAljY5mYmFRUVFRXV6empjo5OVVVVdXU1NSH3P4bgYFw5gwcPw7OzuDoCMeOwalT0LLl/2NpWVjeP3o9/P47tG79mtDREfh8yMqqra1dsGCBQqHw9vbu3LLlHYzTjx+H6dOVq1ZJCwom5OZGzZplJRL5+/vTNG1mZpabm6vVapOSkszMzJjMrO+++87S0jI7O7tv374//fRTXl7e2LFjbwUGjq2svPbDD6mpqXl5eXt27lzv48OXSFpPm/baMPh8eBks+O907tzZxcWlRYsWu3fvTkxMjI2Nbdas2RdffOHQ0F1n2fjBvx0mu720tLS+ehMA8Pl8DofTu3fv2bNnBwQE5Ofn37x5U6vVduvW7dKlSytWrFi3bt3MmTOzsrKCg4OPHTum0WhKS0tnzZoVEBBw7tw5pVLp4uJCEMTt27fr6uoKCgqcnZ03bNjQsmVL/PJ4B+P6q33lyDCjzAoKCvh8vpWVVWpqaseOHTMyMjIzMxn1plarc3Nz6+rqOByORCKpqKjAGHfu3DkxMbFbt2729vYAkJeXJ5FIhg0btnr1anNzc19fX0tLS5FI9E5r4eICBw/+c0vLwvL+QQgIAmpr3wzWVlcDTQ8fPrygoCA5OdnCwkKbllbr5eXUpctv164xznwFQAe1Gjw8GGcJA8a4qqpKIBC88TubNm36+uuvjx49mpeX5zpsmGzMGNXEibB9O21k1OT6dbC1BYSgogJeDTNv2wYKBRw6BP7+oFL993ls27YtPj5+165dT58+tbOz2759e0BAwP9vaf4JGsTuaxAar4ujd+/ec+bMeVWyatWq9u3bX716tVevXs7OzsHBwcOGDXNyctq3bx+Px3vy5Elubq6fnx9FUYMHD2a6MItEIuYlbsqUKQkJCSKR6MaNGwKBgLF+aJp2dnau9xMyHzgcDvO39UIOhyMWi1u1aqVSqZhTZVKp1NnZmaks5eTkJJFIpk6dStN0fdhs586dvr6+PXr02LNnD9MnWqlUxsfHK5XKLl26SKVSFxeX972ArAvxA9B499d7p107vHnza5IzZ7Cj471799RqNZOJ/oLPPkto1mzqxIkvvmZnYzc3vHPn3/xdjQafO4f37sW//44xxqNG4bCwF+3Oi4qwnx8mSRwWhrt0wSoVXrnyb/4KGwP7MDTeDZaVlWVvbx8REbFv374DBw4MHjzYwsLi0aNHb9w2YcIEa2triqJ69er17bffqlSqr7/+etq0aQgha2vrK1euzJgxw8jIiCAIJulWpVLxeDwDA4O3X2uYRPm3A2OMhCTJ6OjoWbNmIYQUCoW1tbW/vz9JkkZGRkZGRgKBgImEMcrv9OnTYrF49uzZoaGhFEVNnDjRxsZGLpfzeDxbW9vU1FTm4Mt7XUBWgX0AGu/+eu/cuIFVKrxiBc7OxoWFeNMmbGyMf/ll+/btffv2fe3OgoKiZs0yBQI8YgTu3RurVPiNqNX/h5oaPGsWlkpxkyaYx8NKJT5z5sWljAzs7PyO/Zffho2Bsfw3TE1Nb9++7evrGxcXt3XrVkdHx5SUFFtb2zduW758+bZt2xwdHQ8ePLhx48YOHTqkpKRs2bJFKBSWlZUFBwcvWLCgoKCAyWvHGCOEJBIJ05TZzMyMObmlUCiYUBZDvcZiSgArlUqmtHxmZqabm5tAINBoNDk5OdevX9fr9VVVVUuWLNmwYYNAIKirq9Pr9QRB9OjRA2M8b948xkrbuXPnxIkTORzOqFGjevTo4eTkxOPxqqqq/mzuer0+LS3t4cOHujdy6FlYGguennDpEly5At7e4OgI+/fD0aPQvj1Jklqt9rU7lcqbCxYscHYGT0/o1g1u3ICvvvrHhsHhwOzZkJ8P338PYjFkZ/8nMmdhAYsXw9q1/9hvfTAaRG02CJ/IG2Jpaamnp6e/v//w4cOjo6O/+uorpgK9SCQyNzc/ffr0qFGjGGegRCIZMGDAjBkzDh06pFAoxowZw3TwYlLe63M6CIIgSZLL5SqVSg8PDwAwMDBACAmFQk9PTyMjI6VSWVxcLJFIjIyMOBwO81cURRkYGCiVyv79+xsZGcFLq06hUHh5eZ05c8bGxubSpUspKSlqtfrtBkUM27ZtMzU1ZVKEjY2NY2Nj/96asBbYB+AT2V//IE+ePFGpVCUlJa8KR40aNfPtDgz/LGfO4Nat3xRmZWFT07/3vAbcX2wSx8eGRCJJTEz8/vvv9+zZc+bMGRcXF2Nj4+zsbMbeOnjw4KlTp5ycnFJSUgDgwIEDVVVVarW6urr6hx9+wBhXV1dzOBzGfmIeqNfrmYyM4uLi58+fM03FSktLa2pqkpOTORxObW1t27ZtR40atWbNGpIkDQ0NRSKRXC4nCCIiImLnzp05OTlz587duHGjq6vr3bt3O3XqFBUV1aNHD6VSGRERMX369D9M4t++ffv8+fOPHDnStGlTALh7927fvn21Wu2IESM+5HqysLwnLC0t+/fv3759+1WrVvn4+BQWFq5YseKXX365du3a+/1huRzy898U5uWBQvF+f/c9wLoQP0IuXLgQExMjkUhCQ0NLS0szMjLUanXPnj3FYrFKpQoMDHz27BlCyNHRkcPhqFQqAODz+Rs2bMAYd+nSZerUqaampkx8SyaTIYQqKiqYyhpqtdrPz48kSZFINGTIED6fv3nz5ujo6Js3b8bExNTV1VEUVVxcXF1d7eTkNG/evOHDh5eVld29e3fWrFl79+41MzMTCoVLlizR6/VHjhwJDAwcMmTIF1988YezmDt37ubNmxntBQCurq47duyIjo7G/5Iy2Cws/2+WLFkyYsSIwYMHC4VCd3f358+f//bbb4r3rUjc3aGqCk6ceE24fDl06/Z+f/c9wFpgjZ6cnJyjR49mZWU5ODiEh4eXlJT06dNn7969wcHBzA0UReXk5AiFwpSUlLS0NABg6sTfuXMHALhcrq2t7fPnz3fu3IkQ+vnnn0+dOgUAJEmWlZUxOYrMjiotLa2srMzKysrNzcUYHz9+fMiQIXfu3FmwYIFUKt22bVtKSoqXl1dubi6TAPLdd989fPjQ2NiYCZg1b97cwsLi22+/zc/Pz8jIEAgEGONHjx6VlZUVFxfr9XorK6t6U6yysvLZs2d+fn6vztTNzY1J+lf9r5RfFpZGAUEQgwcPHjx4sFarpT5YUTSCgC1boGdPGDAAWreGsjKIjYWqKli//gMN4J+DtcAaN5s2bWratOnly5cRQnv37m3SpMm8efN69epVr70AQKVSGRoabtiwoaqqqrKysrCw8MmTJ/VXa2trU1JSNBrN2bNnLSwsOnXq1KZNGwcHB4IgmFaZJEkWFRWVlJRQFFVeXp6dnc04GIuKivbt2/f06VOM8b17965fvy4UCm/evFlRUaFUKpcsWXLmzJn4+Pjk5GSNRgMAV69ebdq06b59+3r16vXLL7/069dPoVBcunTJwMDA3t7ezs6OIAilUjlhwoTi4mKapnU6HdNdsx69Xl9dXf1Op55ZWBoVH057MbRsCbduAYcDa9bAoUPQrx+cPw9C4Qcdwz9Cg0TeGoSPL8h8/fp1tVqdxvTHwhhjfPLkSYFAsGLFildvW79+PZNAIZFI3jj/yBSkZz4LhUKBQKBUKjt37szj8ZjChsyl+vNhAIAQkkqlt27datmyJUmSFEXZ2NhIpVKxWBwaGiqRSC5cuBAWFubs7PzgwYNdu3apVKrRo0djjL29vQcMGBAZGVk/sE6dOjHpJBYWFosWLWrTpg1Jkl5eXk5OTmVlZUFBQTt27Hh1IgcPHvR5t+KHb8AmcXwAPr79xfKOsGn0LH+Hbdu2ffHFFzY2NvWStm3bmpubX7x48dXbTE1NGX9dRUVFZWUlvEyLt7Ky0ul0bdu2bdWqFQBUVlbW1NQUFhb+9ttvXC63pqYGYwwACKFX+7d+/vnnZWVlHh4eFy9eZOyk9PT0uro6Dw+PtLQ0jUbTpk2bwsLCtLQ0d3f3qKioOXPmPHjwIC8v78mTJ3V1daGhofWPOnfuHEmSNE27u7svX768urra3Nz85s2bNE3HxMQsW7ZswoQJK1asyMjIyMrKiomJGT58+IoVK97zorKwsDQaWAXWiHn69Onbtcj8/f1Pnz5dVFS0ZcsWHx8fqVTar18/rVbr6enJ5XJDQ0OlUqlerzcxMamtrUUIpaWl3bhxA17a4gBQWFhYWlr66jNlMplEImE+M3UUCYIYP368g4PDhg0bEEKVlZVMprtAIOjZs2dISIihoeGQIUOaNm168eJFuVxeXl4uk8koiqr3Cmo0GiY3RCKR3Lhx4/Lly5cuXXr48CEAaLXaTZs2+fj4XL58+erVq8HBwS1atDh//nxCQkJgYOD7XlUWFpbGApvE0YgxMjLKzMx8Q1hbW9uqVSsrKyulUjly5MiampoFCxaYmJg8e/aMx+P169fv5s2bjG8wJycHY5yenv5qGV/m0JhWq63XNBhjJgDGfGVahclkspiYGK1Wy1T6MDIyOnDgAMaYJMkrV67s2LEjPj5+1KhRVVVVwcHBGzZsMDc3Lyoq8vDw2Lt378CBAwGAOZhsaGiYl5cXGxvLnMtmsj8iIyO//vrr2tpaW1vbnTt3vvd1ZGFhaZywFlgjpnfv3jExMYWFhfWS5OTkkydPjhs3TiwWt2/f/uLFi8+fPx80aFDPnj3NzMwwxt9++61Go9Hr9Xl5eQBgYmLCZBgymkMqldbW1jI59MwDbWxsEEIkSXbs2LH+kDJCqEWLFkwnzIqKCqYZWGVlpYWFRXR0dEZGxsCBA2tra5OTkxkNamNjs3nz5sDAwJ9//jkzM3Pw4MGPHj3Kz89HCNXU1Oj1+oiICObJ27ZtIwgiOztbLBY/ffr0g64mCwtLY4O1wBoxQUFBgwcPdnd3Hzp0qJWV1c2bN/fu3bt+/frbt2/36NFj9erVzG1Pnjxp3rx5r169kpOTBQKBm5vbtWvXGAMoJycHAEiSNDc3z8rKYooCpKWlmZqaZmVlAYBOp0MIcTicI0eO1BtqGOOysrK9e/eGh4drtVqCIHJychBCjx8/zsnJkUql+/fvd3Z2PnbsWERExO+//z5s2LDg4GCJRHLmzBkAKC8v3717N1NRu6ysjCCIrl27Ll269MSJE9OnT/f09Ny7dy9TOqRhlpWFhaWRwCqwxs0333zTtWvXffv2XblyxdHR8datW8bGxkuXLn0119zKyiouLq579+4YY61Wm5qaStM041TEGCOEdDpdRkYG00ZZr9cLBILq6mrmbzMyMoyNjfPy8jDGTCoHRVFarfbSpUtMqgjjWmRKulVWVi5btiw8PDw2NlYsFgOApaWli4tLUlISo/wKCgpCQkJCQ0PDwsK8vb0lEsnYsWN/+OGHkydPurm5IYSYAlSDBg3atGkTU4CKhYWF5c9gFVijx9XV1dXV9VWJp6fnlClT8MtSvADQpk0buVzu5eVVW1ubmJgok8mKiorEYnF5eXn9XyGEfHx8Hjx4UFpa2rp16yNHjjBVfQsKCgiC0Ol0THuwzz777Pjx41qtlqZprVar1+sZ7cUkgNTU1Jw+fXr//v1arXbz5s3Z2dmjR4+ePHmyhYVFjx49LCwsVqxY8e233y5dupT50ZiYmEGDBoWFhTVv3jw8PNzZ2fn06dNz5849fPjwB1o+FhaWRgsbA/sIadOmjVgsHjVqVFlZGQBotdpVq1bl5ORMnDjR0NBwx44d27dvF4vFP/zwg7OzMxPBommaIIjr168zttexY8eYnuWMfcb4G2tra3k8npubG5fLtbe3Z0JizCU3NzeapiUSCZ/PLyoqGj58+OHDh01MTBBCjx490ul0K1assLa2VqlUW7duZVIN6/H19X3w4IGrq+vmzZvHjx+fn59//fr15s2bN8DCsbCwNCpYBfYRghA6dOgQQkitVru6uiqVyhMnToSFhTFVoE6dOjVw4EAbG5sbN248ePAgNDRUKBR++eWXYrF46tSpOp1OqVSKRCKSJA0MDJjjzARByGQyd3d3jPGyZct0Ot2TJ0+qq6stLS0xxoMGDXr06FFkZGSrVq1Gjx7NdI5OTEw8deqUkZFRQEDA4cOHly5dypQo1Wg0JSUlbyRoyOXyRYsWXb58+dq1a2vWrDEzM2uYhWNhYWlUsArs40Qmk/3www+FhYW7d+/OyMg4evTo+PHj586dm5yc/ODBg4qKiqioqK1bt2q12jlz5jBFOgwNDfv37z906NCqqqpLly5hjMvLyzHGCoXC3NycIIjHjx9bWlpqtdra2lqdTkdRVEZGBgBcv36dpuk5c+YkJSXp9Xp3d/e6ujqRSGRoaAgAY8eOXbt2rV6vz8nJGThw4P379wMCAubMmdPQK8TCwtLoYWNgHzM8Hs/FxYX5HBQUxOFwCIK4du2aVqv98ccfdTodQRCTJ08WiUQ7d+5kQlnMYeTevXvTNP3TTz+dOXPmxx9/rKmpqaqqUigUlZWVcrlco9GQJFlRUcHE2O7evdu0adN27dqVlJR8//33TOQsJydHoVAolcqsrKwePXp4e3uXlZWlpKQIBIKdO3d27969IdeFhYXlo4C1wD4VsrKyqqurHz161LNnT51OV1pa6ujoSBDEpUuXTp48GR4e/vjx42+++WbTpk35+flpaWnJycm7d+/Oysp69OhR+/bthUKhi4tLTk5OUVERxrhjx45yuRy/7Gxy69atlJQUJjam1WqZ2hx1dXUSicTAwIDD4XC53GbNmrVt25bL5V6+fJk5Df1XuXHjRp8+fVxdXYODgxctWlSfKsnCwvJpwiqwT4Xi4mKVSmViYrJ58+bDhw9nZ2crlUqKonQ63cOHD/fv37906VJLS8ucnBwnJ6fIyMi6urpz587t2LHj5MmT+fn5q1atUigUTA2q5OTkI0eOBAUFPXz4kMmPxxi7uLiUlZWlp6cDwI4dOwQCQUFBwZUrV7Ra7YwZM6ysrKZPn37r1q25c+euXLnSy8vrr45/69atXbp0adOmze7du6Ojo5OTk5s3b/5qFiULC8unBqvAPhUsLCwyMzMrKioAICws7OzZs1VVVTqdDmPctWtXjUazePHimJiYwMDAAQMGCASC5OTkgIAALpd7+PDh0aNHSySS9PR0kUik0WgcHR0FAoGrq6udnd306dOZWvV3795lzorZ29tPmDBhxowZUqlUq9UaGBjExMQcPXrU399//vz5Mpns4cOHM2bM+EuDr6iomDx58unTp4cPH+7i4hIUFLRr1y5PT89ly5a9l8ViYWFpDLAK7FNBKpWGh4ePGzeOcd95enrGxcV5enouWbIkNjY2NDQ0IiLi8uXLp0+f9vX1TUhIoCiKubO4uNjQ0PDcuXNSqdTR0bG8vPzu3bsAoNPpampqEhMT+Xy+iYmJn5+fkZGRpaWlXq9PSEjo2bOnSCSSyWQeHh5CobCwsFAikXz77bfffvutmZnZX82Sv3Llipubm6Oj46vCYcOGnXijqywLC8unBJvE8QmxZs2aqKgoR0fH1q1bV1ZWJiQkDB8+fNKkSQihIUOG1N/Wpk0bHo93/Pjxixcv5uXl2dnZrV+//uLFi+PHj9+4caNQKAwICKiqqtq7d+/27dtpmtbr9RqNxtDQMD09fevWrd27d6+urj5+/HibNm0OHjxoYGAgk8k2b97s6+srkUhmzZplYGDwV0eu0WiY7PxXkUqlrAuRheVThlVgnxAikSguLu7333+/evWqQCBYunSpubn527cRBHH48OHJkydXVlZaW1szptiSJUuSk5PT0tI8K37SAAAgAElEQVS2bds2Y8aMrKysp0+fmpubP3nyZPXq1RqNZtasWUymxpIlSwIDAzHGixcvPnz48ObNm52dnU1MTFJSUjZv3pyTk8NURPxLNGnS5OrVq3V1dTRN1wsvX778RgkSFhaWT4v33zPz3wLbMfbPqKysnDt3rpeXl4mJSZs2bY4cOcLIS0pKli5d6uvry+fzKYqysLBo2bIlRVHGxsbDhw/38vIiCMLc3DwsLMzY2DggIIDH41EUJZVKO3fu3Lt3b5VKZWdnFxcXN2XKlJCQkO7du69du7auru7vDbJr165DhgxhjqZhjC9cuGBiYpKYmPguf8t2ZP4AsPvrk6UB9xdrgX3qVFVVBQYGOjk5bdiwQa1WJyUlTZky5dq1a7NmzZJKpZMmTZo0aRIAlJeX//bbb9nZ2TNnzrx3796jR4/69++/a9eu0tLS/Px8V1dXCwuL4uLimTNn7t69+8SJE2q1eurUqePGjaNpuk+fPv//cW7dunXixInW1tbu7u5FRUVlZWWxsbHNmjX7/z+ZhYWlkcIqsE+ddevW2djY7Nixg/kaHh4eEBDQpEmTwYMHW1hY1N8mFovbtWvHfG7btu0fPkoul69evXr16tU1NTWvlsP/R5BIJLGxsfPmzUtJSVEoFC4uLq+6E1lYWD5B2CzET50zZ87069fvVYlSqWzbtu358+f/9jP/ce1Vj7GxcZs2bZo2bcpqLxYWFlaBfepUV1cLhcI3hCKRqKqqqkHGw8LCwvKOsArsU8fd3T0hIeFViU6nO3/+fNOmTRtqSCwsLCzvAqvAPnXGjRsXGxsbFxfHfC0rKxs5cqSVlZWvr2/DDoyFhYXlv8MqsE8dS0vLY8eOrVy50szMzNfX18LCgiTJ3bt3N/S4WFhYWP4HbBYiC3h5eSUmJjLtLh0dHcVicUOPiIWFheV/wyowlheYmZmxrZBZWFgaEawLkYWFhYWlUcIqMBYWFhaWRgmrwFhYWFhYGiWsAmNhYWFhaZSwCoyFhYWFpVHCKjAWFpZPiMePHw8fPtzHxyc4OHj27NkVFRUNPSKWvw+rwFhYWD4VTp8+7efnZ2Njs379+ujo6GfPnnl4eOTm5jb0uFj+Juw5MBaWTwKdTpeZmWliYsLj8V6VV1dXl5aWGhkZNdTA3jt1dbBrF9y4ATze9i1bdu3a1bp1a+ZKUFDQ119/PXPmzA0bNjTsGFn+HqwFxsLykaPVamfOnCkWi21sbBQKxbRp03Q6Xf3V3bt3GxsbN+Dw3i8ZGdC0KezaBZaWBbW1U58/b71sGbzSaSEqKur48eMAAPn5cOwYxMdDRkaDjZblL8IqMBaWj5wVK1YsXLhw9OjR+/btGzly5PLly6Oiohp6UB+KIUNgyBA4ehTGj8/s23eQqysIhTBvXv11uVxeXl4OCxeCmxusWQNxceDnByNHQk1NA46a5R1hXYgsLB85sbGxU6ZMWbBgAQD06NHD29u7f//+Xbt27dKly196Dsa4pKTk/Yzx/ZCXB7duwYkTzDc7O7sHaWnl69aJe/eG+fMZ4eXLl782MIADB+DmTVCrAQDKy2HIEJg0CWJiGmrgLO8Iq8BYWD5ynj17FhgYWP+1X79+v/zyy/jx40NDQ9+Ih/13EhISunfv/mdXNRrN8+fP/18D/cfJzQUzMyBJ5ptUKu3Xr9/Q6Ojd2dkIAABSUlK+/PLL63V18P33L7QXAIjFsGEDWFvD4sUgEDTMyFneDdaFyMLykdOkSZPTp0+/Klm2bJlGo5k8efJfek6rVq2e/zlCoVChUPyjA/9/Y2oKmZlQW1svWL58uY9U+lirbdeunb+/f0hIyPTp08W5ueDt/dofyuWgVrPBsH8/rAX276KgoGDjxo2pqanGxsbh4eEtWrRo6BGxNHoGDBgwbtw4rVbbqVOnoKAgLperUqk2b97cpUuX8vJyExOThh7ge0OphIAAmDsXoqMBIQDgYjz1+XPNtGnTWrcWiUTu7u4CgQCmToXCQnh1HTCGwkKQyRps5CzvBmuB/Yv45Zdf3NzcsrKyQkJC5HJ5//79v/jiC4xxQ4+LpXEzduzY6OjoLVu2hIaGZmVlMcKwsLCDBw+eOnXqu+++a9jhvV9iY+HMGWjRAmbOhGnTwMUFlErh7Nlt27b18/MTMB7Czp3fDHft2gVWVvARq/aPhX+RBfbpnlMBAIDy8vLIyMiDBw/6+fkxknHjxgUGBsbHx3/++ecNOzaWxs4333wzderUrKwsU1PTemGnTp0yMjLOnz//8OHDBhzb+8XICC5dgmPH4MYNEIlg1y7w9a2/iDF+/PixbvBgu6FD0ZMn0Lcv8Hhw9CjExcGxYw04apZ35F9hgX3S51QYCgvvLl8eZWbmZ2lZLxMIBJMmTdqzZ08Djovlo4HD4djY2HC53FeFFPV/7N13XBTH+wfwz+xegTvK0YsUUVRUmlIUu2IjFiwYY9fEkkhixRJ7id1oYomaYokau6IYY8HYsYMoIlZEQQUpBwfHld2d3x+YRM03/jQRDpN9/8XO7e3Ncy+GYWdnnpG0atVq2LBhpqpVRSAEHTpg6lSMH/9877V3795q1aq1adMmctgw97y8E4WF9JtvMG8ezMxw7Rrq1TNhlUWvqVLcgZWtUxk5cmRYWNiZM2eWLFny9OnTtWvXmrpeFYJSzJuHr792t7fvqdEgMBD9+mH+fEgkADw8PF7Ic/PoEVgW//abUZGovB04cGDkyJFbtmwJCwsDkJ6e3q9fv7Zt206bNs3UVRO9gUrRgb2tdSp5eXm//vrrX73KcRzHcf+0rm/d8uWIi0NSUmpKyuzZs0/t3Ys+fTBtGubOBXDjxo2qVasCwJYtmDgRHAeOg5UVFi9GZKRpKy4SvXMEQUhPT2cYZs6cOcuXLy/rvSAIXhYW27dvr1u37vjx499oaYHItCpFB/a21qlkZWXt2LHjr17lOK70uRQylcXXX2PXLri6trC3Hz58+E8HD/b+4Qf4+mLmzAePH8+bN2/9+vVYuxaLF2P37meTfU+dwoABEAR07Wrq2otE74y1a9dOnjxZqVQKgnD//v3c3Fw8eYKJE7FzJxQKV6NxgVR6LyWlTnCwqWsqem30r2m12hkzZvTt2zc2Nvb3wgEDBrziLX9PSEjImDFjni/Jzs52dHSMjo6mlK5fv/7V9XxNFhYW33333T+/zttkMFCZjApC2VFycrKPj094eHiBtfXYqCgHB4fly5dTQaBubvTKlRfeeOwY9fMzQYXfTf7+/snJyaauxcsqrH1VjMrYvp6zatUqf3//a9eulR1aW1v7eXkVOTvTSZNoURGllGZlxSmVJc2bm7CS7ygTtq9XTeIYOnTohQsXWrZs+cUXX2zevLmscNeuXW+9E+3Xr9+SJUtGjhx55MgRvV4PoGydyurVqwcMGHDjxo23/omVhUQCiQRFRWVH/v7+V69eHREdba7X12vePCkp6dNPP0VODgwGBAS88MbmzXH7NnQ6E9RZ9JZUWPsSUUpnz569efNmX19fACgoWO7pGafV5uTno21bWFoCOJOePsrBQZGbi5MnTVxd0et7Refm6OhYVFREKc3NzfX29n78+DGl1MLCojw60tmzZ1tZWQG4c+fO74VxcXGuv+V3+ecfUUn/Q4yKovPnv1Cyfj1t0uSPw9xcamPz+13aMwYDlcupwVARNXz3Vc47sIpsXxWgkrYvSimlT548cXR0pAUFND+fnjhBXVwKe/a8LJNtYxi9p2dxz57ff/uts7Pz/v37aUwMXbjQ1PV9x1TSOzCVSlVSUgLAzs5u+vTpw4YNo+W2qHbKlClPnz69e/eum5vb74Vl61SOHj26evXqcvpc01u8GKtWYdgwxMfj+HHExGDiRHzzDaX04MGD8+bNW7Fli97ODkeOvPCuPXsQGgqp1ESVFr0FFdm+/jsopVu2bOnSpUtwcPAHH3xw8uRJAMoTJ07k5sLLC9WrIzwcn3xitXVrrffeOwAEsmxabKx29eqDBw926NABglCWs0P0TnhVBzZ27NhGjRotXrwYQN++fa2srNq0aWN4LrHY2/UfXafi6Ylr1+DqivnzMXMmWBbXrj2ys2vcuPGMGTM0Gs3NmzcHqdVFXbvSdetQUIC8PKxahc8+w6JFpq666B+p4Pb1X0Ap7dmz57Jly/r3779mzZp27doNGjRoR+/eFhMmLK1Wbf/Gjdi5k/r4lK5adfyTT46Wln5oa5t6927Qtm2fOTkFBATAaMT+/XhuQpmoknvVLMShQ4cGBQU9ePCg7HDDhg2xsbF+fn4VUrH/EktLTJ/+fMGANm3at28/depUQggAzdy5o5s3n7p4sefYsWAYNG2KY8dQp46Jqit6O8T29dbt3r07IyPj9OnTUqkUQFBQUKdOnfJdXDLXr+/t5vb+++8vCQ21vn9/t7v7rHXr6grCBeBx9+4uH3+MJ09w4wZiYhAQgN9S4YjeAWUjiYcOHTLJCGZFqsxj9JRSrVa7atWqoUOHfvzxxzY2NhzHPf/q6dOng4KCTFW3d53Jn4GJ7atifPTRR6tXr36hqKREL5EsX7aMUnrq1KlmUulVlnV3d9fIZPcuXTq8bdt3CoVgYUFZlnp60gULqF5vmqq/y0z/DKxdu3Y9evR4+PChaXvT/6zr16/XqVPn+PHjQUFBLMvq9fr333//2WhSaSlOnPC/ccPizh1TV1P0N4ntq2JoNBobG5sXihiGAEVqNYCkpKQaffr4+fg8mDzZwszMq3r1Nu+/f6NLF7W5OXbswP37GD8eMplpqi76W551YLNnz/7ll19q1669YMECcRS+4vXp02fmzJlbt24dOnTo6NGj7ezs9Hr90qVLceAAfHwwdSq3Y8cGnQ6tWuH+fVNXVvTGxPZVMXx8fM6fP/9CkZlZukLRsrQUwJ07d/zr1cOuXViwADyPhQsxePAXcXEnvL3FnADvqGcd2JQpU27duhUVFfX555/7+/vHx8ebtlr/KWlpaUVFRf379y87rF69upOTU0BAQOL69fjwQ2zbxh879qFCsXnKFLRvj8hIVMKEWKJXEttXxRg8ePCmTZvi4uLKDgVB+PLLL+eqVA3XrsWmTU5KZX5mJhITodNh/HhYWqJhw1WDBiW2bm3aaov+vpeGFC9evFiW1en9998/f/78leeYZIjzLaoMY/SU0sLCwp07dy5dujQ2Nlar1VJKjx8/3vz59f+CkLV48Q2ZjAOMMllKcHCbOnU6d+6s0+kopbRBAxofb5qqv7NM/gzsd2L7Km8JCQl169b19/fv3Lmzl5dXq1at0m/dorNmUU9PQSrVEmJo2pSeO1d2cl5enoeHx6VLl0xb53edCdvXy7MQg4ODT506NXz48FWrVr20kQcVF6n8Yz///POwYcOCgoKqVat28ODB0aNHb9iwwcPD4/bt28Lp08yJE9Bo6J07jmlpmfPmnZ0yJbVRI8/S0n3375vFx6NsgUFwMNLSEB5u6lBEf4fYvspRfDwWLAi7fv2ag0N2cHBiu3bV/P195HJ07AhPT4wYQbTa4mXLLl2+fP/sWe+iops3by5evHjgwIFBZSlGRe+glzuw9PT0mJiY3bt3N2zYcNy4cS+tyhL9E/fv3x80aND+/ftDQ0PLSo4cOdKjR4+UpKR1PF/YpQvTq9eRo0e73Lhxj2V7T5jwo5PTh/37S/r3x8SJWLAAX30FAE+foiyFtugdJLav8rJkCVatwvz5aNSIZGc7r1jx3owZOHcOnTph8GCMHl12lv2ECfVCQrxnzJAYjQFSac+wMIe+ff+4yKNHOHkS+fnw80OTJuKK5nfA7/diJSUl06ZNMzMzU6lUq1evFl7KXfTuM/kQx+zZs1/KWUwp7dev37lu3UpbtGgQGCiTySYFBl738JhtbX3T2fnLgIA0R0dqNNILF2hwMKWU3r1LHRxodrYJav8uqwxDiGL7KkdPn1I7O5qZ+ULhhx/SMWOooyPl+bKCa9eufRAQkM8whVJpuLNzv4YNcydNoo6O9MQJSin98kvq6Eh79qTDh9OAANq0KX34sMIjeSeZfhr99u3bfXx8Zs2aFRUVdfPmzWHDhhHxv4+37f79+3X+tPrY19fX89Qps4ULW0VEREREBPj6Kqysup0+XRP4dNu2dI2mtH59xMejsBBLlqBJE8ydC0dHk9Rf9LeJ7at8JSSgYUNUqfJCYd++OHYMHh5gGAD5+fnt2rVbRIhq0SIrM7PDWVlNOnb8dMMGw7Rp+PRTxMbiu++QmIitW7FyJZKS0LYtPvjANOGIXtuzIcSePXvWqlXr119/bdmypWkr9C9mb2//6NGjlwqzsrKsS0pQrdqlS5diYmLa1q2LgAB4eMDLS5afv71nTzNz8xZbtkCjwc2bOHQIYqaGd5DYvsqXTgel8uVCpRKU4v59cBwkkg0bNrRv185t61aEhsLV9Wlo6MCrV9tSWjJhgkyvx5w5mD37jy6QEEyejPXrkZKCsgT2okrp2R3YrFmzrl69KrauctW9e/fvv/8+Nzf395KHDx9u27aNdXfHvXuEEJ7nUaUKevdGZCTu3EGVKgLHybRa5OTgzBmsWSP2Xu8osX2VL39/nDmDlxbYHTuGkBDUq4d58wCkpqaGNWgAjhNGjjTevm1x5co9f/877u46g0HH8zQx8XFJCX1+Hg0h8PXF3bsVG4nozTy7A5s6dapp6/FfEBISMmTIkMDAwOjo6Jo1a6akpKxatWr69OmyoiJMm9asYcPY2NiIiAgsWYJu3aBW0wYNVmZnk0aNcPQoqlUzdfVFf5/YvsqXjw/CwjBoEFasQFkmjj17sHQpjh+HpSW6dMHhw914vurly+A4XLkioVRKqU9qanWj8bhc3sJo1ABXhg+f+/33a9as+WOc/9EjODiYMCzR/+tV2ehFb92UKVPi4uLy8/O3bNlSWlp64sSJTz75BGPGQKH4fM2aLps3n2jUyNi6NdLTr8fGdvP0nDRkiOL0adSta+qKi0SV2/r1cHSElxeCguDhgVmzsGcPfHxQpQrOn0dMTB17e8/k5JKaNRlBIAAYhvK8kePCBEHq4MACbeXygf37t2vXTq1WA8DRo8jORkiIieMSvdKrstGL3jK9HqtX1zt9up7BgJAQfPYZrK0hCJgyBadPM7Vrhz96JFy4cBKIkkjsR44cM2bM0KFDTV1pkehdoFRi6VJ88QVu3oSDA9zd/3iJYRAZaXPoUB4hzK1bSoADHlNqbzSaA5TnHysUzpTS4uKPRo1qbWZ2t0ePoDp1sG0btm0Tt9yr5MQOrKJkZ6NlS/j5oWdPyGQ4cAB16+LwYcTG4tIl3Lix58SJESNGBISFzb5794BaTQsLg7ZuZTMzMXo07O2fXaSgAImJMBgQEIDf9qoWif4rKEVWFhwc8Ffr55RK1K//52Ke5x/8+KOzra21RmPU6zUMs6hOneSbN/cZjVcpDXnwgAAFHFdqb2+mUNQ5eRJqNa5dE8cPKz9xCLGiTJiArl2xbRuiotC5M1avxqxZGDYMK1fim28u3bsXHR29d+/e/bt21bOwCOP5zPDwmOxsqtXC1xeXLwPAkiXw8cG8eVi+HPXqYdQoGI2mjkokqhClpZg6FSoVwsJga4vISNy79/rvTkhIsOB5+0aNpBJJib39bWvrr0pKGgGgtAnPm1EKQLC2Vjx+7HDv3unAQBQVIS2tvGIRvT1iB1ZR9u3DyJEvlAwYgOvXUVCAWrVWrVo1YcKE+vXrY/JkTevWaql0fWrq3ocPv7hxo3TMGAwZgu+/x6ZNuHgR8fE4cABpabh3DxMmmCgYkahi9e2LtDTcvImHD6FWo1kzNG+Op09f8923b9/W2dggMREKhcra2re0tOD+/S8MBiuACAIA3sXFvmPHfu+9NwIIv3jxuo2Nbvfu8oxH9HaIQ4gVQhCg0fwxEliGZWFvj8xMaDS3b98eOHAgAOPu3eGEnDYat5ibm+n1+cePFx45IgP0n38u27VL4uHx7L02Nli7Ft7emDMH5uYVHY5IVJESE3HlCm7ehEQCAFIpxo7F/ftYsQIzZ77OBVQq1WlbWx+NBk+fIi9PKZMpBKFsyjwFqFSauWyZcfBgi+LilZTOdXBwTE3dcu1a9a5dmzVrVo5xif4x8Q6sQjAMPD1x9eoLhQUFyMlB+/ZYtsza2rpsfZhQULAzIEDG89bXrx8zN48HBJnMAChyczsPGpT2/LCGvT1cXJCRUbGRiEQV7tIlhIc/671+FxGBixdf8wItW7ac9+QJzc4GIWBZAARgAAIQQE+ptndv+6Kiuc7ODMNY+fk5GAyNBg/u06ePTqd769GI3iKxA6so0dH47DP8voq5pAQff4y+ffH111i37sunT89OnLg7KEhKqfuxYxAEobS0ZXFxH3Nzh/r1ZYIAiWSpu3uPHj0EQXh2BUqRnw8rK1MFJBJVEJb9H3vgGY1lXdHrsLGxWTJxIvT6LDc3AUBpKYDfFy2bc5xKJnv83nuujx9/ZGuLS5fAcbVmzvT29j516tRbikFULsQOrKKMGoVmzeDrix490Ls3fHygVGLxYri74+rVJw4Obe/c6ZSUlMMwhFJQSnieZRhaWPjkwgUdIAC1Hj4kgpCYmPjsgrt2wc1NnIso+vdr3BiHDqGk5IXCXbvwJuN7kVotzMzmdux4Ry5PcXLiZTICFAAAHvv6Wmm1tX7+uZTSNQUFMBjQvTtUKg8Pj8ePH7/NQERvm9iBVRRCMGcOLl5Ez57o1AlHj2LtWpiZAbj58GHPS5dCx483WluXUgqAY5gjhDyklKHUiedTCSEcR+/dS75xw7ddO4wYgYkTER2NNWtMHZVIVP58fBAZiXbtcPEiOA6ZmRgxAhcv4pNP3uAiRUVEEFaOG1fTaPS1tWU5DhYWRkdHAM4pKeaUCoB12b+P9vZlWxelpaV5enqWU0yit0KcxPFW5eUhIQF5efD1RXDw/zjB3f2FJZYAgP379/fo0cPq8mXY27tqtTzHCUrl5uJiO1fXBUBGXl6wXk8AHighRCKXY+NGODkhORnOzhURlEhUYZ4+xbx5OHMGlCIsDJ9//uyXfMUK/PADBgzA3btwcEC3bjhzBhYWb3BlLy+4u2PcOHAchgxBTAxKShxLSsCyhOcJUMowSkphbo4rV2Bnt3HjRrVa3bhx43IKVPRWiHdgb8/336NuXXz3HU6cQL9+aNMGf8o9/z/l5+c7OztDo4Grq1wiKbCxOV1SMpXS+o8f00ePauh0hFIQ8gPDnBME+ePHRwVBq9GI0zdE/zY3biAgAFIpli/HypWwsEBgIJKTAYBhMGQIUlNRWorMTCxbBlvb173so0cYPBiLFiE9HbGx4DiMHQtKQQgIQWQkbGxAyC8DBhgoTXBzm75sWZs2bebOnbtr1y6JRPwXv1ITO7C35MgRzJ2L06exbx/WrUNKCho1wvvv4zX2ia9evfrVq1dRowauXgUh9hzXGPACPqBU9tvbj0kkzYBoV1f2zJlWxcVn8vNvr1tXziGJRBVr9GhMn44FCxAaipAQzJmDBQswYsQL5zBv+Cfr7l0EB8PdHUePIiQEggBCnrVKSiGVol49KJWQSqNiY6Uy2b2BA1mW/eSTT65eveorbqRS6Ykd2FuyejVmzIC397NDlsX06cjOfnnq/P/SrVu3kydPnndzg5kZSkqg0cgFgQEkv+15yAEWQUE6c/OPpVI0akTc3JpYWsYfOlR+0YhEFc1oxIkTGDDghcI+fZCY+PL0jdejVqsvXryojYnBqFGYPh3XrkEQ8MMPsLQEIZDLYW4OQcDs2fTpU47naUHB0vBwZa1a06ZN69atm1TMgvguEDuwt+TOHQQGvlDCMAgMxJ07/+9bVSrV3r17P9yzx5iTw0kkBqC0rOv6bcZ8KcsSc3MbrfaTwkLo9VAozIuKYh89oq9xeycSvRv0ekgkZdOa/iCRQKFAcfEbXamgoGDw4MFVq1aNjo7WxMV13rIlKSkJBw9iwAD07g2WBcNg717t0KG8TCZwHPR6rbm50dLSskuXOXPmdOnSxSgmaXtHiB3YW2Jri+zslwufPHnNkfqQkJDk9eullKY2bcpKJOaUlt18UYACSp6ve/y42tpaoVAgJgZ37lClMkEqFbelF/17WFjAxgbXrr1QeOcOCHmjpLqU0u7du8vl8qysrAsXLjjZ2AwYNiwiIkL75AnOnEHz5pBIwPO6Dh0urFxZotc/oXSUl5eSEFnTpkOGDDl//nxpaekacX7vO0LswN6SyEh8/fXv90wAcO4c7t1DWNhrXkBy7hwYxv/wYdbSEtWrg2GoVFpgZkaASwzDyGQBhYV4+hQrVkCpTOjQoVnz5uUSiEhkKjExGDz4j9lJmZkYOBBjxrziuVd2dvbYsWObNGnSsmXLKVOmqNXqhISE7Ozs5cuXK5VKAAgM7K5SfdSvn+HXX3H+PL78kouNpYTIeb65q6vMzi7L2nphdnZJSUnhZ58BYFl2zJgxe/bsqYh4Rf+Y2IH9LadPY+VKbNr0R2MbPhw8jyZNsGkTfvkFkyejc2d8//3LQyKvQCmsrLBvHwoLy54EEI6zlUoBhAqCXK+nAHgeDJNaq1bUoUPz5s0rj8hEIpP57DP06IGQEDRrhhYtUK8eIiIwbtxfnZ6UlBQYGCiTyRYsWDB9+nS1Wu3v73/s2LFmzZoxv/d5U6Zg7NhPL13KYllotbh8uXDw4J1VqpCwMPLggSwvrwrPyy0strVosebqVUEQcnJyXFxccn/PmCOq3MRJom8oOxu9e+PpUzRrhsJCjB2LTz/F1KnPtvjatg0//4y8PPj5ITERbm6ve9nERFy/DoMBH30ESvHNN8/mSmk0YBhQCkqv2Nj45uffk0ime3ic2LixZs2a5RmnSFThCEFMDIYORXIyKEVAAKytX3F6dHT04sWL+/TpU3bYokULLy+vLVu21K5d+9kZBgMOHUJRkfPJk06UoqQEowSXJhsAACAASURBVEZZSKWN7Ozw4AHs7Qv9/affuvXttWvC1q3fLV48e/ZshUKh0Wjc3Nw0Go2lpWV5Ryz6p+h/hoWFxXffffdPr9K6NZ08mfL8s8PsbBoQQDdufNPL6PX61NTU/Px8Kgh07Fjq7k6nTqWenpSQsudez36QyW7u23etTh0BuFmnjiCX07Vr/2kI/z3+/v7JycmmrsW/3NtpX68tPz/f2tqa47jnC4uKiszNzR0dHXNzcymldOhQGhlJs7MvOzmd7taN1qpFJZKrNjZXWbYQ0BLCsayGZa/5+wc5Ofn6+qrV6vT0dE9PzzZt2jRr1oz/vZmLXsmE7UscQnwT6elITcXMmX8Myjs6Yv58fPfd61+jpKRk7NixdnZ23bt3r169+gxfX93PP+P6dQwdipISNGiA36ZmGJycBI6z7dq19s2bnFxeMzX1PKVb/movWpHov0Sj0VhZWbEv5vO1tLSklA4ePLhZs2YHN2wQtm27PHp0j+joVIZpfOoUHTJkkbe3RiI5LZfnW1nJKP2EUh8zswPp6bHZ2XXt7AYPHtwkNHRL/fqH8/Jiz54trFsXGze+zlJOkamIHdibSE9HrVov58D29X2jzWF79+6dnZ2dkZGRmpqam5s7SC4f/eTJQ7Ua27ahRw9s2SJIpRzDJEulTE6OIAgyqZQxM5OyLKRS1YULI0aOfPR6CT5Eon8xFxeX4uLirKys5wuvXLlSpUqVOZMmre3Vq3D69BStdnhMTFBQUM+FC6FWX378+JxC4W80DtBqzYqKBEImAFUImVxaGmtmNlEq7RkVda9GjTBBwOrVa0ePjg0JwcqVGDbMVDGK/l9iB/Ym7O3x5+zUjx791TRftVo9YcKEkJCQ2rVr9+7d+/r160lJSSkpKevXr7e1tQXAMIynXO7fufOyZcvw4AGk0uLJk/M4TiIIAS1bruna9YmHh7nRmA7A3R01avgEBHTq1CkuLq6c4xSJKjupVBodHT1o0KCCI0fQvj1sbQV7+4JWrb4PDUWtWg127Ojp4OAvlZ4XhIlNmkg3bYK1te/y5T9dvapUq80ISZXJxjMMFYR9xcVdCYkFfIuKojhOJpdjzx6EhGjMze97eeHXXxEfj9+3gBBVMmIH9ib8/EAp9u79o4RSLFiAqKg/n/vo0aN69eqVlpauWrVqz549jRs3Dg8PX79+fbNmzV5IsFalSjNX18TERCQl4ccf43NyDnfuDEJw+HDvX36x4jhJRMQNqZTLzMyOjLx8+bKrq+uTJ0/KP1SRqLKbMWNGbxsbQ/v2C7OyYry81mm1fjJZiy1bUFgIDw84OkKnA6Vo0UJgWa2b2zetW2sFgQIXgV4KhYOvr23z5isjIr4xGvvxPH/nDr77Dj16gBBBEPbt29ekSRMoFOjSBb/+aupYRf+bOAvxTRCCH39Ely745Re0aoXCQvzwA6ytMWbMn8+dMWNG3759Z8+eXXbo4+MTHBwcERHRtm3bF87r39/z0087WlujoABy+R6eH+LuztnasgaDqriYPHoEozFEpzvDcSNiYyWHDqWkpHTq1EkQBOZNk8KJRP8uLMsOTE5W79rVfedOt8OHhZgY8x07oNFAr0e1ajh3DiyLpCSeZRfFxw/n+eCUFJUgaIFQ4DHHlWZlTX/woBFgRUg9o/GWINS5eZOdPTvD23vM6tXOzs6tW7cGAIUC4r7MlZX4R/ANhYYiNRVVq2LXLly6hJgYHDz4Pxd7HTlyZMCLid0aNGjg4OBw5MiR/Pz8P0oLCyVPnoy+fh25uYJavfbYsfrLl/8iCJtLSwWggGHuVKkyBTg+eXJyaurChQutrKyePHkyc+bM8g5UJKrssrORn6+ys6t+9qz85k3zmTORno45cyAIWLkSn32mv31bzzCMIEw0Gq1UqmYcxwFSgFBKiosVeXnzCwsjCwooUBXY3LHjnJKSc9nZhR07BgYG7tq161mmm19/Rb16Jo5U9BfEO7A3p1Jh4sT/9yytVmtlZfVSoZ2dXcOGDVu1arVo0aLQ0FDtihV08eIRHh5bfX31Ol3hkSPOhBSybJBabU+pgRALQWCvXGnNMKkPHkRGRl65cmXXrl3e3t5169adNGmSXJyRKPovMxohk2HnTnz8MWxsoFaDUvA8eB4ffHDz4sWBEyZsp9SZkLNmZj4aTSkhrpSW/ckjgECphFIDISylJcC8li3JsmXU35+Ulvp36wZzc2i1mDIFPI/27U0cqegviHdg5cXX1/f06dPPlxQWFt64cePrr7+eMmXKtGnTqnp60hkzdnXtui4pSRISYkhIuBkc3MfNrZjj4hSKdKUSwCqGcQce29uP3bXrw/feS01Nbebt7Tp58q3iYpm1NRo0QGysieITiUzN1RU8j7t3UaUKACgUALB4MZTKPEfH/T/88N5HH9lJJFJKf/XzszMYnClNsbYGQAEDULZahaH0qEQy2t+fTJgApZIcO/ZsL83AQLi4IC8P+/e/PPFYVGmIHVh5GT9+/JgxYy5dulR2mJuVNap79/59+6pUqqiOHc+OGFEwZIirXP7ZlCmWlpZo3Ni6uDhOp/tZrXYjZKBWa1daakZpX0FoRMhcwGLo0Mjbt5VqNUJDUbVqhKPjg+RkfPEFJk3CokWmjVQkMg2GwYwZuHABx48DgEyG+vWRlweOK92+vaG/f/eHD6U8r2NZ6+rVGUJyCfErLiYAASS/dWAsEMZxBffuPZXLt06ZkpCdDSsrHDmCDRuQmYkNG94olbCogolDiOWlXbt2ixcv7tatm69SOSknJ6ig4CtLS+sLF1BcjPh4qFSwsYFORxs0uFivnio1tSqw+OrVaYA5YGAYDSHnoqIaxsUt1+vXqNUFzZrZzp+P0lIMHPhr06ZFmzd71qqFWrVw5Aj8/DB06KuT7ohE/07DhkGtxqRJpdu36/V6AyEWEonCYHDKybEyN1eq1XnAGYlk9O7dAFwpJTxvIKSI0gSWbSkIlpQSwAr4pbi4RKfLu3PnblSUvU7n5ONjLTaod4F4B1aOoqKi7pw9u7egwK1PH/7oUet27eDoiA0b8OgRGjVCq1a8TKbJzw+Oj5fb2t6RSDyAIoACRqWyaNGifVev3uO4ToTMNBhKhg7lr17lt26NVat79er1zTffPPuMKlVQrx4uXjRpoCJReTlw4MCnn37ap0+fefPmvTD76TfF0dGTa9TQa7Xa2rWL33svy9FRz/M8ITqJhH3//eONGoXr9QLPcyoVAQSggNICQkIEgQHKcmwIAAEsOS56375JFhabO3T4fOBA7NyJdeuQlFTB8YreiNiBlS/Zd99Jo6KqhoVZ9O2L1q3x3nuQy6FUYscO7ZIl93U6S0FgKLXXaOw5bhPgATyVyZQajX1MzMLbtx8yzBFCSgjRsexRhikqLGz9/ffnly17NsG3jFQKcf890b+O0WiMioqaNGlS7dq1O3To8PDhw7p16546deql0xYsWPAwNFSVne06YUI1c/MaJSWCg0MppQ63b2Pp0vfPnMmQSgdUr75IrS7LMuoEVKPUgVJzSgWAA3IVCgA8YLCxSX/yRLJ374zY2LOjRhX9/DPefx+dOuF/dZyiSsEkGRhNooKTjT7TsSPdtYs6OtKrVymlNDiYtmghtGxZyrJ7bWxCQkI4S0u9RCIAOqCsOWUCPMADAsADWQBPCDU3p+nptF8/OmgQ9fP74/pqNbWzo0+eVHRc7xQxmW8FeOvta9myZW3btn0+Xe+hQ4c8PT0NBsPzp/n5+V26dIlSSrdupTVq0AsXKKV16tQZ2qBBEctmBgW5uLgolcrmtrYCIQLDCAAF8gBa1rIAQSJJI+QaMBLggFSGqaFURkdHOzo6Xjp7lo4aRTt1eotx/fuIyXz/vVgWN2+ialX4+QFAcTFKSoznz590dGxiZhYcHMzr9alSaaatLQGMSiUF7AHy260xAzgAAiHGgAB+4UJMnIgDB5CVhfR0AEhPR7du6NsXTk4mDFEkKg87d+6MiYl5Pl1v27ZtHRwcLr44YF5QUODo6AgAM2di7VqEhABwcnL6YOZMQ7VqqqtXzaRSnU7nHhGht7Yu+e1dFgAAjmV5IJ/jBgIuhNRu04Yh5HsLiwccd/jw4QULFoydOBELF+L8eWRmVkTMojckdmDlrGlTxMdz5uY///zzunXr8u3tceuWTKuVDxhgJggpKSnJlAYIQmZICANItNqz1tYygACUkGKGASAFbglC3du3i1evjhoxIn3lSuj18PODpyeCg9G+PRYvNnWQItHbl5ubW6Vsfvxz3NzccnJyni/x9vZOTk6GTof0dDRuDMCo17e6cKFx9+7W2dlKnk/WaJaFh3fSau8YjUpBAMPofktjI+O4PKALIcFS6Q1KZcnJBLBs314qldaoUYNSev78eY4Q1KmDO3cqKGzRmxBnIf5TFy9evHHjhrOzc8OGDf+8chnDhhUvXizNzt5LqeDlpbl7d5hGIwf89+0zc3DodPlybUEgHMcFBbGHDqmBJoWFZe8zAApBAECB6sAJT08rT8/eQUHthg9PYxgmLQ0cB3f33/deEYn+ZapWrZqamlqnTp3fSyilqamp1apVe/606Ojo8ePH++/f70EpjMYLV66cb926qVbbIzBQlZ+/rqhoibPzhKNHzdzdj/r7FymVjY4fl/N8WbMRCCml9CilOo5byjDj8vJKKE04epQQEhYWdv36dQAcx0keP4adXYUGL3o9Ygf292VkZAwYMCAnJyckJOTx48fXr1//6quvevTo8fw5l9LS+lKa7OX17cWLOHsWNWo8sLJyvnXLOi2N8fUdYGVVmp19zc6u0dy5BLChFIAeyCdEBqQQ0oxSAsgAl8REEOLC8yt0uh1SqeeDBw0bNjRR3CJRRRg8ePDkyZMbN27s4uICgFK6cOFCGxsbf3//50+LiorKysoKCQs7JJd/ZWm502DIAlq5uaVcv97NzExjbj46LU1KKffgQf2CAmuNBt7ecc7OESdP7pJKO3OcB6AFLARhApAvk92vV29YSkqylZVGo8nJyalWrZpZfDwoha+vib4G0auIQ4h/E8/zkZGRHTt2TElJ2bBhw+HDh3/++eeRI0f+vnK5zLfffjtswgR5SgqGDYOlJWxsPHQ6SggEQf/ggbRly1tSqX1BQTHDHJHLAfAAA7CUllLa9Le1lmWPnSmlYcnJNgbD94KgCQ8vtrCAmxs++AC3b5viCxCJylfXrl0HDRoUGBg4YMCA0aNHh4SExMbGbt++/c9njhw5cty4cSONxi95/guZzMzbWxCETxhmtV6/NTxcKZPdl8kEQfjBzCzYyWlqcXH7kycT7OzuSySWwEBCHhAiAHLAymCwy8urBexWq7n16yUHDsRWrYrBg7FhgzjUUTmJHdjfdPr0aZZlY2Jifs8KHxgYOH78+DVr1jx/2t27dwMCAmBujqVLcesWlEqYme1s0mRbhw639HrrrVsbGAznBGFM06Z+y5dTgAEkgD3gzDCEUgMhFMgFAOhlshMqVR2DYXNhoVn37m0cHc999RUaNkSTJrh8ucK/AJGo3I0bN+7SpUvh4eGenp4LFy5MSEjw8PD482mlpaXz5s1LNzN72qdPFKXSu3ePPHrUymDobm19Oz4eVapsZBiqUq00N7+t0cx98oQlxMXR0dPODoT0Y9lEQprUqPHAwuKKr69denpdna660dgnN/eLqlVrBAcjJQXiaEdlJXZgf9OdO3fq/SlHdf369W/duvV8ia2tbXZ29rODw4dRVISrV7erVI9atpQmJub17s2z7E/16+9ITAybOpUHKCEcwACPCSFAKaUEkBCyk2WLLCwaffGFQhCWVK/e4/Dhbp98suXUKYwahS+/xLhxFRO1SFTB3N3d+/fvP2rUqFatWpG/uA26cuVKFweHBLX6ycGDKzlOSylLiHOnTtcAL73+oa1td0FQBwc/fPjQx8fHz89PD8hv3DiYmdlMIvFimI/l8usPHzoXFxempjYFvidE6+FR38XFNTcXDg5QKis4ZNHrEzuwv0mlUr00GwpAdna2jY3N8yWRkZErVqwwli003rs374MPInv0iIuL27ZixbmQEGzZwgrC6szMvGPHfGvUyK9enWEYjhAALjwPQAnwQIFSucjcXFFUNHfSJALcc3W1tbWllD59+hQAevRAQgJ4vkLiFokqHUGjmZ+ePhjopNWud3I6OmgQT0j1/fu7arVmDJN37Vpdo3Hr9euODg41a9aMaNfOIJO5ETKOYfbxvBnPz27bdgbASqVuly7xdnYdFIpqWi2mToXBgD174OuLu3dNHaLofxMncfxNrVq1+vjjj2/cuFG7du2yEo7jVq5cOXDgwOdP692794EDB0JCQiIjI8NjY+ds336Y0gBr69iMjO0y2W4/vx5Xr57NyenStOlPHKdt0ICyrPmtWxQoW/wiAXRAdnHxGmC1TPZhaalAyCOOk8lkaWlp3t7eACCVln28mDNb9N8UkJt7juNuVa1KcnM3b97cq1cvX5XqW6PxS41GzbJKvf6HqKjQnTvPS6UZ+/Z5FRdbAwLgRikPKAn5aO9eM+B7qfTzVq0WajT2zZtDpcLgwcjIgFIJS0sMG4b4eFNHKfofxDuwv8nGxubrr79u2bLl3Llz4+PjN23aFBYWZmdn169fv+dPYxjmp59+ioyMnDdv3i2er8cwO3funCkI30qlx9u3PxcQYGVu7i6RkNJSpdGovHiRv327hJB4lgXAAxQoJSSIkNrAh0ajs0ymARpYWt67dy8uLu7ZhpmnTqFGDYh7g4n+a4xGfPUV6tSxGDAglNJRGg3R6ZYsWRITE/PA1naIRnMBiAwM3EZI2K5dq6RS123bHtvY2BAiAEaWldraMoCKUjnAArc5zsHBoY9cListRXIyrK3x5ZdYtw6NGuHyZTGbVCVlkvwfJlEeqaRu3br12WeftW7duk+fPjt37vyr07y9vb28vA4vWJDDsl29vB4B1WQylbX1aJnMWL16DiECIRygBbYQstbOziCVHmCYZYRMJ6QQ4ACBEAo8IWQfkMowYRYWcXFxlFJ69iytXp3+9UeLqJhKqkKYIFVb1660fXuamEh37EhUKK7UrHkScLC1lcvldnZ2W1q33mdtHRgYKJFI9g4efFoi4c3MjAAFOGA1IGGY9oRcIEQH6IEMoL5SSQmhUin96Seq1dLQUDp6NHVyou7u9ObNCg3tnWLC9iUOIf4jNWrUWLZs2avPefjwYUlJSUFBwdTdu5vw/Lr79y2Bw9Wqldy6paN0f6NGze/du9a+PXvw4NQqVZIkkvz8/D5GYwngSsi2Ro38ExIcWHapuflXxcXxlHYGVECC0YhhwyCTQRDw5Zfo3r1i4hWJKoX8fPzwAy5fxtGj8PaGu7s3z1+vUaOWwdBHp+uwbVvrevWEhg17cNyTJ08AdProo+ItW0ZaWamfPv2G43QM0xi4KwhPGQatWt0/dqwWz3sAJ4xGCpCVK9GhA8aMgUSCxYtRvz4GDcKfcoKIKgNxCLHcGQwGuVzOGI0jk5JGsmx2WJiGYVxu386mtKtKdT42NtPOLiM+3h1INzfv168fy7IgxI8QtVLZQakMtbTsLJc3GD26ikRSBbj4+eeS+vURFobCQri5YfVqREWZOkTRO8NgMOTm5hYUFJi6Iv/AsmWoXRtr1kChQLNmaNMGQUEyV9fAAwfsMzPnl5TkdOuW5+CwND39hJnZ5s2b5XI5P3kymTQpIzf3fZ7nACqRFAiCEzA+NHShre00hcIIUIbRcByhFKNGwcUFAPbvB8fh6FFQKg7RV05iB1buPD09c3Jyvra0NOO4m3v2NLt7d5ilpV6hYIDpen1RcfETjmtvNCY4OhZT+sUXXxQXF2cR4k1pWHHxx4cPlxYVNZZIrL7+mjcaR1StGjFwIDIykJGBSZOQmIjx49GpE3Q6U0cpqtQePnw4efLkatWqmZmZOTg42NrampmZ1ahR4/PPP08vSwz9rvjpJ3z7Lc6fR69e6N0bO3bgzBn4+cnv3Uv65ZejFhakuLiXRiMBRhDyVKVqlZaWLJNJjh1TTpu2m+eryuWEYRwNhgbALZbtkpTUZ8eOH0tKJABRKs0BgRCwLORy6HSYMgW+vlCrIZGAUlNHLvofxCHEcieRSKq7u0fdvu0PBH73XUxMzKpVqwbfu7cMaKnV3gRqqdV7ZLKugjDj4cNLhNQUhKqCAMARkAIqQjZrNGaCsFUuX7NuHQYMQLt2kMsxfDgSEvDhh/jpJ8yfjxkzTB2oqJJKSkpq0qSJnZ1dx44dfXx8ytZgqNXqW7dubd++fc2aNceOHQsICDB1NV/P8uVYuhRVqyIoCF9+ifR0zJyJefOQnx/WogX0esowhOetAfA87t1DdLTjBx8Ytm3bV6VKvJvbnKws7sGDJ4AT4MfzVQVBTqmUUs7cXAJYCgKVSODqiowMbN+Odu2weTPy8pCZ+Wyur6iyMcmTN5MwzX5gx4/Thg11LEuBM4S0t7BQKBQKhSIqKiooIKCAZdsSkhYcfFwq3RMTM9PBYStQAAiAFtD8tklY2XTEfiqV8c4d6uJCAwOpSkVVKiqR0Pr1aVwc9fGp6LjeKf/xSRwtWrSIiIjQarV/fsloNPbq1at169b//FMqqH3Z2tK8PEop5TgaGkqdnWl8PA0NpadO0bp1KcNQqZS6udHly2l2NrW2ptbWlGGoTHbd1fUmw2hYlgNy5fKyzS0fATygI2SHl5eGEB1Q1K0bZVmqVNIWLahEQqtXp87O9ODBco/rXSZO4viXiovD8OFYsWLhxYsTFi40+/TTdV9/nTRiROuFC3U6na+Xl1QQUu3ta509eyksLPzLLyMpLcsmRYGjwHh7+x1t2rjt2MFynBkwSadLPXTIX6OBWo3Tp+Hvj5o10aYNPvoIpaWmDlVUeSUmJq5du9bc3PzPL0kkkuHDh3fq1Ol1rpOcnDxnzpy/elWn02k0mr9fy1cTBBQVQaWCVIqICGRkQKEAwyA3F23bghCEh8NohI0NGAb+/vDw0FlZySjVCYKUUtZg8M7O3mRvfzc8/OMdO9zt7ZGVRQFbQighpSwbnpFBpFKW4ywTE/HNNxg3DhcvgmWRkwNnZ7RpU15xif6ZSteBGQyGoqIilmVfSmnxjikpwc6dGDsWvXvD1/eTkJDkxYud9uwxdOrk8+231mvWGAyG+WZmxU2bFiYllRqNzr16kcuXu0skColktcGgFgQbK6vE/Pzjhw5tlEoHC4K3IPjodPzIkeB5XLuGqlURHQ0fH8yfj7w87Nlj6oBFlVfNmjV//fXX7n8xVfXo0aO1atV6neu4u7u/tNnC8+Li4v5nH/lPPXqECRMQGwuJBEYjKIW9PUJC8MsvqFIFGg0UCmRkUEtLTqtFUREDID5+aUZGYLduLXneHOBYlhGE3dOnO82d233bNktByNRo3AAALKUcwPK8UhCo0cjIZIiOxtCh2LoV0dEoLER8PK5dw6VLCA19+6GJ/rHK0oE9fPhw9erVW7ZsuX//PqUUgFwud3d3j4qKGjp0qJeXl6kr+CYSEtCrF+rVQ0kJKEWDBvaEWAYF6RMTCzMyqlJ6SCar5ejoAJA5c1ovWfLV7Nk9t23Lrl27Y0ZGUGkpS6k5YKPR6Cj9rKDAtWlTZ5Vq1IEDAscxAAhBRAS0WnTujJ9+QkkJkpKgUJg6ZlHlNXHixB49eqSnp0dFRdWuXdvGxoYQUvYMLDY2du/evdu2bXud69ja2r6iA/vwww8lkrf996SgAI0bY+BAPH6MggIEBiIgACdP4tgxrFsHR0cMH46bN3UODo/z890FgQUEoITj+t65M06plBYXNxUElucFQj5wctq1aVOrPn1+MRgmh4dv2LPHaG6+iGG6m5s7FRen8rwPxxG9Ho0b4/x5pKUhIgJr1sDWFn5+uHtX7MAqKZMMXL4kMTFRoVC4u7t/8sknX3/99caNG3/88cdly5Z9+umn1apVs7GxuXLlyj//lAoaoy8poVWq0IMHaUEBtbamej319KROTvToUWo08suXU0IoIVQmo2ZmVCo1VquWI5VqGUbPMKVy+V0gGxAAI5DAMEksWwhQQgRCcgCqUlFzc8ow1M6OfvwxHTmSurvTbt1ocHC5x/Uu+48/A6OU7t+/v2XLli+1fUJIq1atDhw48FY+olza1xdf0CFDnv28aRPt2ZPq9dTGhtarRzt2pC1b0jZtqJnZeGvr4mrVqFRKbWwoUCyTXSKki6MjZ2lZ9qxLAHQMc0Umy2eY3TLZXamUAukMc/v4cX1UVCnD6BUKSggFSpydqaMj/flnqtFQHx969Cht3pweOfKW4/p3+a8/AxszZkzz5s137dr15yGIpUuX9u/fPyYm5siRI//vdbKysjZt2vRXrxqNRr1e/0/r+v+Kj0fdumjXDgCcnbFyJdzd0acPNm5E8+bMggXPNhYSBDg60sePJffuWcvlHLBOIrnVtGnYqVNdjcYcnnegNEwQslnWjBCB0nyWtS57DCCXo0EDXLyI776Djw82b8Yvv+B/7TEhEv2uQ4cOHTp0KCgoePTo0ePHjwE4OTlVqVLF1tbW1FV7pfPn8dFHz37W66FQQCaDtzfs7REXBwCLFxsSEi7Uq6ccNgwbNyI52ahWKw2GIGBXTg7DspDJQKnAcVJB8OW4o4QYnZ13q9VjjcYTgtCzVascIL9WLf+cHCgUyM2V5+QgMhL372PkSHTsCLkct2+jSRMTfgeiV6gUHdjbesis1WpfsUKTUspXQMr2zExUrYqzZ5GfjxEjMGkSfHzg6sqnp+f17OmYmQmp9GmtWkXZ2R2UyuVAE4nEzGCQAlEcV3z8eKGDA5uTYyeVMgYDABXLSnmeI+SqVNpUJoPBAHNz3LoFlQpjxmDWLEREQKlEUlK5xyV699nY2NjY2NStW9fUFXlthPyxACsgAF98gZ9/RmkpUlPxzTdPDhwoPnrURae7He4dfgAAIABJREFUePHi2vPnfdu0Cbl27Zanp4dGYwkwACeRSAYMwOjRpXXrXiYENjbHjMa+06fXHDmSAtskku48f8baulpuLh8ayhYW0oKCfJnMITYWT5+if3+o1ejWDRs3wszMpN+C6C9Vig7sbT1krlGjxvz58//q1ZUrVyrK71lRQgISEkAprlzB7t24dg0lJUhJgVyOS5cQGckADgAFYDTuzMysRYjx/n0PQp4IQlWAUCq1sDhlMHzz9GmMIHgyTBAAQGswsEAa0NBolADgOAwaBF9fREdj5kxQChcXqFRwdS2vuEQiEwoLw7596NIFAK5cwaNHGDYMeXnQ6/lx484CnQghMlk6x9lYWHR88KD56tXeDRs6xcfn1a59Ua8fqdVu79evlp3dJaCGIHgUFDSllAweXKxUMoTs5XmG0u6Ojvy9e7rjx5U6Hc+yjEwGjkOtWrhyBX5+SE6Gs7OpvwXRXzPJwOVLdu7cSQiJiIj44YcfEhISbty4kZaWdu7cuR9//LFbt24sy74iT+7rK69nYCUltGtXWqsWjYmhvXpRiYTKZHTCBFq7Nr18mQ4ebGRZnhDB1pY6OPAsq2UYPXCbZYuVSoNKpZNIBIACTVxc5jBMIiGlhNz+feze1rZYJst1cREI0RNCAXrtGuU46upKb9yg06fTadOonR3Nzn77cf2LiM/AKkC5tC+1mlavTidOpLt2US8vuns3dXenhFAXF77sWXKDBoKbGw+UODqqZ82aY25u9PDQAAdZNq1r13379jk5OAxnmAygOVAikZSGhtpZWPz000/nxowpa3eUEMqyBkCQSlOk0ryuXSkhtKDgLQfyr2bC9lUpUkl17949Li5Op9N99NFHjRo1ql27to+PT8OGDQcMGKBWq+Pi4v7q5qxSmDABFha4dg2LFkGvx6pVaNkSixbBwwMJCSVyOcvzjERC2rVDQUEpw5gLQqG5uTvP5508KZ01S04pTwiAHUbjEolkmLl5MdCvtBSA1s5uecOGKVKpbUEBkcufbfalVGLWLNSuDR8fXL8Ob2/Y2eGdTm0nEv0Va2ucOYOcHHzwAR49wqhRGDAATk7Yvz9QpeKdnTFkCDl69PqGDdq8vNMbNihYdryTUxOl0kkQqu3ZYxEZef7p0w8ojWCYYUAWMCI5uUCr3b1795IjR54CACilpRLJPUDHcXWNRtvYWEil+PxzMXfUO6FSDCHi3X3ILAjYtAlpac8yzaSlYfZsdO4MJydDePiVjRtP3L4dDWyoUqWRTBYgk0Gvp4C9Xp9OiOX06Th0CIIgoVQLOOTlPQEY4JqZ2YHSUgro8/IKjxzxUypJeDhOnGDKEh7WrImAAMTFYd8+JCRg8WJkZ4uTOET/Wk5O+OEHnDuHDRsQHIxLl4QDB2hAQI5MZvT3Z+3tUbOmn5MTNTf/MShox44dTg8f1rOxyTQYfIzGUEp/ASaqVE4KRcSjR1kcd08qPSQIDWNjZTwvAwTAIJOVKpXeej0rlYJSGI3o1g1798LWFn+9altUSVSKO7DflT1hbt26devWrf38/Cp77wWgsBCEwMnp2aGlJfLzoVKBkPfXrdvt5BQ4ZIiEkCY9ew5KTi4G4mvX1gJEELwotd+/H4IAqbSAEB4QJBI1w5y0tEyLiNgVFESAFSrVFEr5oiLuxAkoFBllK7tZFgUF6NsXMTHYtAljx2LAAJTHAlKRqPKwsUFx8datW5v07l2YlGRvZUUIyUlJQX4+IiLg6oqSks8PHIi0tk784IO4zMx2HJcHyIDOwJ2CgtM5OdYM4wkcKS1tBRgFQUYpAAYwMxhsCgqYstkiZXdd169jzBh8+y2yskwctej/U7k6sHePlRWMRqjVzw6rVkXnzlCpQOn2W7fmX78efvy4lNIasbGnP/74ocGgmzJlMMvmmJlRQjiGuaxQfOnq6sIwCYCR4zLfe69OYWHnhIQPk5IoEFpYSCwszCQSTqvFkyeeBQUgBF5eSE9HSQn8/dG7N+ztsXChSb8Ckaj8de58+7PP5s2du2jDBpuOHXM//nhex46KrKziTz8tat7c6Os7SSpdIZNt1+tdvvqKYRjW0tIF0AKsRFLEshAEIggWAAUIITaCwJWtZgEAEEqL5fIMa+vMsslQ164hPBzNmuHsWZPFK3o9Ygf2z7AsunXDrFkAsHQpkpPh6AhHR54QCcsiM5O5dSutfXvm1i3z4cO3NmqUkJCQ4+am0umuWlmdUSpDS0rGZWQYBCELOCmXe+/fb89xt/X6Sc7OKUBbSmlhIQEKBaGEEE4qhVIJBwewLCZNQs+eOHsWq1eLOxWJ/vW0gwc/Tku7oFSGZWSgf3929+6B69crFIorglAyefL/sXffYVFc6x/Av2dmtrKUpVdBEBAVEcHYOyKW2HvvvcRcY0mM0TSNPTeaaDT2LkGNvVcUsaGgImBBivS2C2yZmfP7Y9WY3JtfbhIjJpnPkyfPzuwwO+c8z/GdOeedc9bevLmS4ybPnSszGChAzObCtLRQlcoKoITYiCIEgT5/5CKUAuB+OsRlbTBUKyhQP30KwCiXG1etKigtzU5P53m+Ssor+R9JAewPW7YMly6hRQvMmYP+/UVnZ1pUVKhU6j09odVCFIMeP65s1MgMTDl/fvxXX8U8efIDy3qVltbW6+sTEsmye2WycEIuGI13WfY0w5z44INNoriueXMeIJRyJpNWFNWAjOdhNiMxEQCsrdG7N3x8qrjsEslrkZiaOiM0VDFhAvbtw7ffomdPbN2qNhpPKJVuSUlRycn2jo4hW7YIMpnIMMjKcnJyilCrowkhZjMA0TKdzfOz/df0DJEQrdlskMlgNpvWr7c6e3bCypVBQUHHjh17bcWU/FZSAPvDHBxw6RLateNVqpi1a4fHxx8zGN5hmD7+/vTiRTg44N69mNGjd2q127Tax0uXtgwKWhoWtowQG0rPC8J3Mlnj8eM3T5zYilIXQdhEKfPll5cpnX3pEsswAAwcl12rFrG2hoMDBAGlpfDyQteuiI2t6pJLJK+PCGDwYOzciePH0bQpVq2CIAwoL8fOndVdXDiOM6elCba2jCjivffg5bW4qKg9pQwgUkoAUEosJwFMlgT6n56fpZQAa3meEiKyLHVzi2GYDYsXDx8+/OrVq6+9uJL/iRTAXgWGeeDtnVBWpvv00+/0+qiePWdPmHD69OkJkydDFLFjR40JE3qVlnYzmc5/9dU7w4eff/LkI0AGKBnG3mh0+PrredHREYCG0k2UvpOR4ZGX5yIIjCgCUPK8z507tKyMFhZCFEEp/P0xYgSGD5cyfSX/EMHBwampqVm3b+PTT1GjBoYMgb19oZvb5Tp18OgRadp0zfLlhTqdnmEIUHbixNa33hqj1Zo4DgADlACWIS/L/+UAef4ZllWYnxtPqVwUrxDSKzBwbU6O7cqVc+fOXbp06estruR/JQWwV+PjffuCOW5o+/YcxyEqKvjatWNHjsiOH8/IyEgcOXK10UhlMvPUqYOys4fNmiXLybHc7vFyuYJlKc+rcnMp4PC8Xcmevxz2IkDpgBt2dgflcgA4cSLa0bHSaKR37lRZgSWS10itVn89YIAiLKxy3To8ekT9/Q2nTtnk5AxJTkaPHggIiEhL0zRtqs3NFQF1UdGAmJhvS0qced4SmuwBApgZBgyDl0IXBQRCmOc3ghQwA+kKxfqoqMMnT3bYvVt14YIoiomWfnvJm0cKYK/GuRs3KsaNw9tv49YtDBoElm09deoXhDjZ22vee+9jQDV7dlqzZtUEAYKAhQvdnZ3VDGPgecLzZkpZSi2dGy+almWQ+cWmNaV1iovbiiIs6zUfO5ZcWDiub9+0tLTXXlaJ5LUThP5HjujfeutJTk4Mw1inpPRo2tTYrBnj6opx43DoEGbN0jx+TAhh5HLWz8+kVIqiaGk+L+4C5aLI/7TTggDsS3sIwABNRbHv8OEAqtWp46VStZw580ZyMjw8MHw4srNfU3kl/xspgL0ahJDiiRMxdizefhuurrh8GTxfzrIsz1e/fXtFrVp7AgKCrl9XCwJYFoWFbdu29ae0jGGyKFUCwk9fKf/PnkECKAClycQTQoFeCQn1KG3cv3/Xrl3NZvPrK6dEUiVu3ICNjU9aWuBHH3UZNKikpOTw0aOazz6DvT1MJmzZgnr1oFSCEPA8efxYYTC8aFCEkFxCeEsro5QCL2cW0p9+UAArge7duwPABx/IzeY5grBg+nRcvQpvb7z1FjIzX1eZJb9OCmCvRpMmTfbt349Ro/DkCe7dQ2KiPiREYTZzBgNKSiZOnDhlypTyffvKGMbMcfnbti3cvfsG4Gw2WyYKtSzERwHLbPnCfxtkFgEC7HF05BnGCOQZDG/v3GlvbX3+/PnXXVqJ5DUrKICTEyorERHBXbrEWUat3N1RUgKlEl9+iaQkpKVBLoeHh2WGw7KBAwWlMlMuB6UulLIA+7yL/uWbRfLSZx4wMkxXs/nkO+883bwZ27d/ERR0RBTfmT0b7u6YNw/Dh+Pzz19vySX/HymAvRpz585dtGjRypUrDZs20YEDqb+/ISampEYN0qoVJk+uuWhR4rRpecXFZkoZo9H66dOzISHDnZzKKOUBYnm/8nkPBl5qaRaWSGb5qkNxsZxSbVDQ09Onb6WmjmQYqRdR8vfn64vUVAgCataEnx9Gj0ZpqZCQUGpvL+Tn48IFURAosMfDQ19QYCQkB+C2b08WRTeTCcANlhUJKSPkKXk5YEEgpByoBCxDziwgF0UoFM1WreJGjHioVO4ShKlTp9rZ2T37g969ceHCay+85Be9KXMh/tUFBgaeP3u2sE2bJ7m5PqKYJ5dztWt73b+PBw/g5ITDh51btHDeuBGWhc0I6XfjRi+WVQCWKXotrYoHxOcpUhaWiQMIpfT5TjXPw8MDZ8/WU6u/DA+vc/duqUaD+/fh7S2tWiT52woMhI8PNBosW4adO/H++4Kbm2AwKAkBpWZKn5rNrjLZ26WlFZQaed6REDnL1jabAUQDTUQRlGoAzfObRQsRsAIqCbG83VxEiIkQ0dFRy7JpQ4eqvvmG47g5c+b8eBlyOaQe+zeJ9AT2ygTcuNHYyyvAwUHm7u6ZmOh64wbu3YO1NXbuRJs2MBoxYgQAMEwOIOc4JcNYoteL9yvZ/7ihsLy/gpeaHMsw5OJFqNUArBSK2qWl3ceMQdeucHTEkCHIzf3zCyqRvEZlZc8+bN8OGxssWICwMGN8fIXBYPLwUNjbC7a291Qq1t+fms2KsjLGaLTiuPeAEltby+rn0ZGRLpQyQDIgPG9ulr56llIeuEPIBUIKCNEyjG379iqd7lpFxTdXrwZVVFw6fNja2vrHizl2DOHhr7f8kv+PFMBenYMHUbs22rcnHPfsYahaNXTujA4d0L276ORkZFkAEEV3UQTPM5ZbOYZhAMPzdmUJVP913WjLqBgrik/btz9y5MhnH37Y/cwZg4sLKShAcjLy8uDujnbtYDK9jsJKJH8qoxGffgoXF3h5wcYGI0eC43DpEo4cQWhoQU7OEx8fzbvvok6dOC+vWjzvQWmBTLaI0jRAyfPLKCWFhXmUAlh44gQBUgBPhslkWcpxAFhAAEoADqhBaQtKtYRQQUhMTdXqdMVAE71e17WrrG9fPHoEAJRixw4sWIDZs6u2YiQvkwLYq1NWhspK+PsjNBQnTpw9e7Zr166bDx8+evnyjc2bycOHbE5OJZBDyH2Oo4QUu7pWEpIDAFA+H+iyBDD2v52eAJRhzGq1S2rq5blz6+/aZU2Iw7Fjz6aiV6uxcCHc3BAd/VpKK5H8mfr3x7VruHIFpaV48AByOZo2hV6P1q2xe/f7rVtfnzcP06YhO5uvqCCAkJMzDhjC80kcZ5LLWcAWsKdUBJwpJcAFhuFZdj3DvPN8GIwF7AERsKOUEMJRSghpmJZWVKNGeK9e7cvKKnfvvseyCA+Hjw+0Wqxc+ewmVfLGkALYqxMQAJ0OT57ggw/Kp03b3r9/3759e3l7k4qKkIoKnhCOYQwKRYVS6cPzlVOmaCmVW1nZiyKALYQwQBGQ8NNBZgqUElJJiMHSdy+KXGWlyHHvJyQ0fPAgr2dP67p1f3INkZG4ceN1FloiefXi4nDnDqKjodFg9Gj4+ODIETx+jDZtkJcHwMbGRh0Xh/bt8fhxi/T0FG/vSp7/3mTiXVw6iqLcZAIgWNZZBtSAGYgA1pvNd4EVZrPl/WVLsiJjaXGUgtJKjpvert3Rjz7y+Oab6rdusStXWp8+XZqUhHPnkJ6O2Fip//BNIwWwV2fsWFy5gujoXL2+H8OscnAYMGaMMikpsqKCBUwsqwcYg0FvMskA4d//Rm4uq9fLgEuEdKGUAFaEVGPZl7PnKWBDKUOpAgAhvJVVjkaTL5cXeHlZT5zo2aDBz6/BaAQnJeZI/uLi4hAVBUoRGQmNpjg5+f6xY8K33yI/HyEh+OSTGQ8fNvzuO9OQIZg3j2XZxxkZ+ZTOIKSUUlEUBcAEsIKgAliAB+SAjyhOJ+RbQeABk0xGgELLzPQyGZXLLY1ORUin4uKSJ08sV+E+blyhVpu8ejW8vWFrW4X1IfklUgD7Y9LTsWYN5s/H7t3w8cG2bVAonNq1+1YQZAUF0GpNHGfmOOrgYBZFlSAIQB1KWWAjwD9PiFpGqRVAAR3D2AoCJeRFDHs2JGZlZahZs4gQtrw82cfHwWjcnZ+/NTMT0dEQXhovEwRER6N169ddCRLJnyEmRieTNblypUa9ej26dLk0erQpK4sqlYiN9Tp+nLe1nfDhh+l794Ln25lMSoMhitI7eXlaSg2EyIB84CKwBjC8eKVSrdYSIgdkZvNTPz8DkBwQgH79iJ1dJSEmhjE7Odk+ejR05coXK/wV2NuTjIyqqwLJr5AC2B+wYgXeegvXr4NSbNyI2rXh6Ij09FNjxjxxcUHTphg37mqLFrcDAlBUpBbFz7XaNJadYGfHs+xkSkVCLF0cWwAAJYCVKBqBMy/NbSPKZARQyGSq5GQtpRRolZUlF4RpPN/g5Mm8nBx064aEBFRW4sYNvP02PDwQGVlV9SGR/HEVFRW7MzJyN2489NFHS27fnjhxYkFBwZ2hQ5s6Ou4IDNzq6AiZDJGR1Rs3/jYr6xilYziugmEUVlYRgE2TJgwhCkorCbFjGD0hakI4KyvLXR4tL2cEgQFEwPTgQYqjY/XUVLptG7WzU1Car9FcVyqTjUZlVBSWLQMgiqIsK8vxZ730kjeJFMB+r9On8dVXuHkT336LevXg4wNPT0REQKezGjRohEJBo6MxeHBthtGkpuqVygqgmVp9XSabW1T0SBQByCg1AmmA5W2wBLW6mNLagM7P78ekebMZAFtSAoChlAWowYAjR0hhoXz+fHNuLpRKDBwIBwcMGYJ27RATg5+OokkkfyH379+vXbv2D7m5hsDAeunp1eTyhAULxCZNMGcOU1Q0sFWr7Pv3y/V6qNW4fJlRqZzHjn3YtKnNV1/ZGo0c0CE2VkYpBygBVhSvAe0AmSCwQAVQDpgBCpwDfIA2BQVEpSqhVExNZYBKs9nn4cOmQUHc0KE4c8ZoNK7u16+2IPiOHl3VtSL5RdJ4ye+1aRNmzNh77pzLhAmKsrL9Wm1AWNgAuZwJCmq8ZYu7o+OhZs06paXZ16mjEgS9yaQDmmZlNSPEBLhRasmJtwZsnp+vdWVlsovL5MLCrg8eiCwrCILMEooIgfjsVbEkjnM+d845PByAx5gxTT/4IOHMGWRlSYsyS/4eRo4cOXv27DFjxsBoPOTlNaKwEHfvmjmOZVkcO8bt3j2toiLZ07Pu8ePw9gbPPzx/vm/Dhvjkk3xvb+dHjwillleSKaUMMIvSXMBoNKoBFUAIAaUgpC2loJRXqfJDQuyvXTPy/MVWreqVl1s/esRfv/5Dr16N9frT9vb9RZHZuRNWVlVdK5JfJD2B/WbZ2dmrV69+eO7cnM2bM955x79OnZolJcPi428GBCSVlFCdjnTpcjwuLuLq1U4mU9v7942CwBNyA7jGcSPk8iuE4KXZDvUcZ3zeR18zN3ciz/OAKIoAeI6DgwPv6GgixDJTYoAgOHfogFWrAGRlZZW6uKBaNSQlVWV1SCSvyNOnT1NSUkaNGgUACsUaX18wjKFx406OjvDwQEUF8vJ0MpnCaERgIDIykJFRYWPT8MQJhIe7PnxYBuB5DpRlMjYZ4AkwlFrmES0khGdZIyG8XA6Aq6x0j4tT8jy3bFnkqVPOLVuqdDrF4cMtfX2Vjo4R772nffrUtlu3KqwQya+SAthvs3HjxtDQ0OvXr+vU6pz4+NZFRQ969bKytvb19V1aVladYfa3bw8/P1KvnnLYsAMm067sbNqsmQvDdAEa8/xqtTqc0kqWZYEMQnYzjGzHjgsy2bObRkABcABHqTEw8CDHPZHLxaKiW87OlQzDA8VRURg9GosWITZ2wYIFvXv3hkwmzW0j+XvIz893c3NjmGf/KPWtVu2Oh4esY8dvcnKQkYF+/fT+/mPlct8nT7BhAwoLUVo66dix2tev4+xZNG2qkMn0gkAJKSCEWga6GAaAEiCAADxhWV+ZLA8gPE/d3eHhQcLDiUIh/+STZ5n6NWrI9Xrbx4+tjx93mDcPL6ZAlLyx6D+GRqNZu3btHzlDYmKiq6trWloapfTSzJnpNjZGJ6cQB4eiY8foyJFUoeBVqsENGtC2bambG/36a4O19TF/f0rp/Q4dsq2sKggxP5913tLALhCSplAIDCMCAsOYAQMhFCivUYMSIlpZ8YRkEpLLcRTI4Ljzfn5prVtf6tfvBze3Zs2a6VJTqZ0d1eleTQX9fdWtW/fWrVtVfRV/c3+8fRUVFdnZ2VVUVFg2dd99d1ij6devn5+fX1lOTl5Y2B2l8lqTJtTbm3buTG1sqLs7tbISAYGQyrAwS5tarVTGE2J+3spe/HdPpWrs7Hz37FnRxeXZS2AajahUUkIseb9UJqMKBfX1pdu2vYr6+AepwvYlPYH9Btu2bRszZoyfnx+A9Hr1brm7y8vKDgqCukcPnDkDUSxu0uTLhATcvAlnZ2zffrdVKx+9HoBtgwbqykoVw3DPM+MtjS2UUhez+aabGwGoKLKAglIKqNPSKKUoLwfgznHOALy9PRwdGz95UpyaGl9aGu7kdG71as2gQZg2DRpNFdaJRPKqaLXayMjIGTNm8DwPQNOsWaSVVfyFCyUlJZ4BAd2VSt1774WxLKys0LEj7O3h5QWZDA4OBCA3blg6D0umTAl3dCQq1UOO0720JlHNysrY/PygVq1Ibi5h2UKGgV5fZjI94rharq73oqJgNoPnUbs25s5F27bPZpCSvNmkAPYbZGVl1ahRw/I5NDR0XFmZ0Lu3e1lZirc3mjVDp06rmja9ExgIvR5duyIxURsUVFxaKqSluaxenebmBkEwM4wlo5cALGAFaEQxNCuLPl8SDIBoWfWcEEIIW60aEQQ4OODIETJ7Nsdx4dbWU8+edUtLY9q2xZAh+PDDKqoMieTVW7NmzcOHD+vWrTt58uQxS5YcLCv7Xq3Ou3u3tLT04sWLDevUQUoK9u5FSQnatEFcHB49IkuXEoZRWMIYMP3oUaLRsEB1ntdoNJb7RYNanc8w6ba2FChlWV4QDJSCEFt39+pubrdEMfDo0aSoKLAsIiKQkoIOHdC5szSt6JtPCmC/gaur6+PHjy2fAwMDW7duffLixUQXlxqZmbSiQjh8uM/nn4er1Xj7bXh6Qi73Wb2aqNVXOnUSVaqwnBw9IQZKGcDy+pcAWAavyPPQVeHqapw9O1uhACA4OlJCaFYWZDKMG4fTp7FwIRwcEBsLT0+sXYucHEyYICXNS/5O7OzsDh06tG7dusDAwAYNGgRdvlyvWzemRg3UrQt3dyxejB9+QEAA4uKerUxkZ4c7d+DpidJSyxw07O3bePIEolgGkPJynmEAjHN0tGnRwsfOroIQa4WCAh6UguOoTkczMmS5uQIh8uPHTfb2OHUKDIPp0+HoiOPHq7Y2JL9KSqP/Dfr169elS5fhw4d7enoCWLdu3b1atT7Jycn39Aw+dGiUWl3T3l755ZfYuxePH6NBAxw/Hq5SITWVUvpQqfQ0GFhCSqtVU+bnV1ZWqp/fPliexiiw0GyuFxjY/K236LlzTH6+Ti6X87yC58n8+SAEbm5gWQQGYvBgDBhQtVUhkfx5mjRp0qRJk2cbISH45BOkpCAjA48f4/Zt2NpasuEBID0dmzbh/n3Ex6NPH2oykcpKCAIVRZYQUMpRKgLrMzKYzEzKcRzAVFToCLEHSoODDbduJbZo0fbaNZZlFxuNq3JzS+7ceZa50bAhkpPRuXMV1YHkfyIFsN+gfv36M2fODA8PHzRoUPXq1e/cuROSm/tRnz7KTz5xdna2tbbG5s0YORLJybC2Rr16UCoZAF260HPnPOVyucEAlrX717+wdOnJzMzmDg5saSlrMlmeoQjwcWEhGT7ckvXLsKwNz0MuL3d07G0w7PTwsLl1CwyDevWwcSP0eixZgpdXKpJI/q4MBnzwAVJT0aYNTCZ89BG8vXHgALp2RWwsWreGnR1atoRWS9q0wcGDYlEREQS1ZQDMykqsqDAQogR4npcDFJBTWsFxmps3Tw0e3NPTE/n5fFBQ5L59MkLIw4eiIDAsi8JCPB8vkLyxpC7E32by5MmxsbFOTk737t3z9/fvdfBg8Llz/mazra0tGAbDhuHzz+HujrQ03LmDa9ewdy/8/Ul5ubyyUiQEPI8vvjC//XYbUVRwHHieWJoZIWBZEWAo1RMiArC2hiieEsXUvLz5RUVWt26VhoaCYTBrFh4/hsmEoUOrujIkktdi/Hh4eiIxEatWYe1a3LsHjkNMDD76CHo95HI8eIAePdCkCY4cgbc3c+AAqV2bhIaWaDSJJhNH6aeNGtWysysj5KmdnSiTyRnmB5WKo7TvDDvxAAAgAElEQVTbkSP45pvYGjWy9+7tIQhPCNFROqVnT1N6Og4elGZl+wuoktzHKvHH03z/u+3bqYsL7dOHTp9O27Wj/v40Pp7GxdHw8GcH3LhB7ewowwjVqtGXcugtw2CWKX3pd9+ZatU6IZPpXVwEIJ0Qy4oPgpWVJcfXSMgjljXZ29OBAyml1GSinp70/v1XX5y/IymN/jX4s9pXSQm1taXl5ZTS8+fP9+vXLyws7J1WrXTOznTQIKpWU4ahLi50wQJqNFKOo4cP05kzaUgIXbmSbt8ucpxISDbLfhkV9SQwUFCrqacnBVIIoYCBZYXnyzTzwIKQkAJCZnNcnkpFFy9+9WX5m5LS6P/K+vdHUhK6d4daDR8fREXh0iVkZz9blBnA++9j2TKcPMm8tNYJAURCGEKerV05cqSQnNyG59W5uQzgSSkAc8uWjKur+euvBZYtJ+T7OnVIcTEePgQAmQwNGyIx8fUXVyJ5rTIz4ekJtfqzzz4bNmxYZGTkmjVrWk6YoMzP720w0LIydOuGJk0wbBjkcgA4eBCbN6N6dYNKtQOgggBKnQRh0tGjnvfvV1ZWHjcaReBpVFQcMFQUNSxbQ6XaExBwSaXqmJ6uoXRUgwbdjMa8IUOquuSSXycFsFfB0RGEYM0aQRSzFIriK1cwZgyuX0dREQCcP49evdC6NebPR1AQlEqwLADWMiEbIQB0hHCUMpQSQkTAQIhAiOLSpX+Hhc2eMqVQELZR6p2URCgtvn7dZMnuLS2VZmmT/P05OiInJzU5eeXKlXFxccOHDw8LC+vWoAHr6pqenh6zbx/efx/l5fDxgYsLBAFbt+Lw4Qe2ttunTj2zfj2llAAMoNdocm1t0+zt3yooIIQ0OXo0gGW3AE8F4T4hfTIynvj52ZeWDmLZrC++uK1W79u3r6pLLvl1UhLHq5CejsmTNw0f/q/vvvPy8jIajVqGOSeKXMeO2LkTggC5HAcPYt481KuHjAw8eYLwcFRWGnx9L6amRhQV7eG4JX5++wXBD6BpaRyl11n2LZOp6e7d/YEYhmmkVIZWVuYyjNpk+nDy5C+mT0dCAl5kakkkf1cuLqhVK3vevC5dupw+ffrSpUsApiQl+fbu3ZxlKyZOLKuoKIqI8J45k5w6BQAMI3Tpcr6gYJgojjh1SiQECkX+0KGytWtdKXWtUeN648ayq1eLCgtb8TwAW0CsqDABfZKSJjNMnJvbme7dTSaTXq+v2nJL/hdSAHsVoqNv1Kix5sKFq1evVq9eHcCtW7c2tWnTqaLCtX79ZxnwXl7YuROTJqFtW6GwUMzNPaxSLb169aQolrHsAJ7X+fgcT0gYkptr4jgHs9lGEChQD2AIGUMpqagQCJnv6bny6VNhyxYcPowvvoCNza9emkTyl7duXUjDhkVG470LF7qGhNSOjSV5eZsuXmzMcbUo/fqdd74/cUJdWLj3hx/sd+zAhx9WmExv2dkxeXmglAAQBJdvvzWzrCiKTFpaWFqaCFBKV7m49OjVK3bjxkqeb2Vj4/rJJ/0mTEjw8Ojfv/+0adOKLN0nkjeb1IX4CoiZmftu3dq2bZudnd2dO3cMBkNISEiLESMuZmXlWFKnlEosXYqWLcGyyM3NbNTosq1tzbfeSvf0pB4eakoVwOTjxyfk5loBvL29CBQxTDrDDOe4sk2bdkZFrea4K5ROy8gglDaqrERMDEaMqOpySySvRUBAv+DgW0rl+2FhbZKTXfT6xJCQLHv7ViZTdWBWVFR8fHxoaOiHo0dDoQDD3K9WjdNqIQiCQiEQUioIFwjRiyIRRVhZ3W3bNsfa2kjIkLKyM2lpje3tZ5tMRXL5nXPnmolim4SE0++/7+Hmdvr06aoutuTXSQHsFSjVaPwIGT16tJ+fX9++fR0dHQcNGnQzOvp2UVFoeHjPadOechw6dYJcjuRkxMb+IJc32b7dISnpozp1FLm5nCiKgKBQEI2GVyofmkxGjgsBvAjZzPPGIUPaHT06RhD09vZ2lE4LDOxDCA0Pr+pCSySviSAIsTdvbnd03C+Tgefx6FG/hw/t584t4vnyTz7BgAGksnJh7dof7d0rnD8PBwf30lL/e/dASDHP5wOGmjWbdu5sR2klIUaDIS8uztyyJa9Wn3Rx6X78uGtm5jVCArOza+/YQQBvSj8RxXs2NnjwoKrLLfl1UgB7BXKbN+9YXj6mSZOCgoKkpKSrV68mxcS0zcjYp1RmT5iw08FhvVY7p2tX7NmD+vUpISP1em7NGqvS0hGHD4uiSIHz1ardcXSETsfyPE+IkWFEy/rLgBPgCEAma15aus3O7qQgKBSKY8eOVXWhJZI/3cOHD48dOxYfH6+SyS7MmlVnz56d6enDevcuLCxcuXJlAcfJqlVDUBA2blTOndvXzS3zk08glytHjiSUgtJ0V9dHu3fPy8oqPXbMCCgBhueZatW8g4NtFIrInBwOWKTVjqC0glITIeUqlcf339fW6ws6dNio071YSFbyxpIC2Cuw/eLFWdbWXb/6ihkzBsuXo2PH60ajjSheNpvJZ5/JduyYdvnydxcuPAwORmxsjrMzK4p48kReUQGAEUWR41qlp9fNyKCEsGZzI51OYTZrgGv+/jMDA08TMsLXt1QUJyqVHcrKMjIyBgwYcOHChaoutETyJ3ry5EmHDh1atmy5fPnyTwcOPF1SIl+xws/O7u26ddfEx/9Lodi+fXu0TGbz1VeoVg0HDphHjLiu07meOQNBsD9xwqxWlwO1nz69MGLEbpNplNksp5RQyhBi4+ODH36ARmNFiIxhAlasmKxSEVdXK3t7G4bp3K4dgMmpqVo7O1y9WtXVIPkVUgD7Q3ieN5lMCQkJfrNm1ee4s6Wlld9/75qZ+V2zZs4q1emICNSti65d1enpLVu2zPr6azRq5FJQQMzm0txcllIDy6a5uiIsTK9QGBUKSqlICAkNzfL1zeY4Y3Z2u4cPwwlp/OhRAs9PLi8PEsUipfL92Fj3jIyqLrpE8od9/z369kWzZhg5Etevv9hdUFBQv379+Pj4goKCotzc7ZWVJ+rUcU9NrQgLsxoxQnH79iy5fFmnTqahQ0lAAHbswP37t3/44bidnWL+fOzYgZQUeXCwTi4vo3S8wZBvNO6Ryy3/0i3089OmpyMtDRkZqF4dHNfz/fc7VFba5eTEq9Wl1tabP/wwNDRUJpM5tGjx7J1LyRtMCmC/07Vr19q0aWNra6vVai9cuKDX6/fGxm7gOENcXGuZ7ICNTcdu3bRaLRo0wPvvY968jnfvhuzciU8/xe7dtzUa5skTABUKxZmiootXruQbjQqjsYIQAnCiWKN7dyeVyk4UW5vN+ZSy1au3YtlQuZwolfLExB3AiEOHsGtXVdeBRPJ7UYoBA7BgAbp2xcKFCA1Ft25YsQJAeXl5/fr1FQpFfHx8cXHxuuHDs/T6tObNPTw8hp85kz99+seLFy9XqboUFMTGxUUbjeUcd6+gQP74ce1p03D3bpGXV1lFRV5SEjGbdQqF9WefMdOnM337gmGgUNx/+NDYrx927wbH4d49MAwyMwEQjgvNy7PJzXW9cGHRokUxMTHM06dwdq7qapL8miqZ/6NKvMKpbmJiYtRqdWBgYERExIIFC8aMGVNdpXrQogW1tqYMU2hnt71ZMy939ydbttCQEJqRITg7FxOSHR9PKaXvv2/o00cETEAlIR4qVVRU1I62bQWAJ0QkhI4fT8ePp46OtHVrSsh8T8+rQUHmyEhavbrg5DR27NhGjRoJ169TV1dqNr+S4vztSVNJvQa/rX3t2UPfeosajT/uycykzs708eMlS5aEhITMnj372f4NG0wDBri7u69YsaJNmzbno6L0Gk1+69a0WrWcxo2LbG3/PXjw6YULqbs7HTas0tOzgGHKVCqdVmsAFjPMVZVK8Pamfn6UkHy1mgcow1j+KwkPFznONGAAXbqUtmhB9+6lCgWVy2laGj13jnp40MrKV1xHf1PSVFJvsOJixMTgm28say4DOHPmTN++fTt16rRu3br33nsvMTHx1unTF3h+9+XLD5YuFYKDE+bO9YyNXc7ziogIqlbnTp1aXlhY5OXl1qCBsHu3YdWqe7dvlxGSZWWlYJgMrfZIr179Zs0ihLCUgmHw4AG2boVej3PnwLKTt2wJevTIePx46ePH+oICO0E4cuQIU78+HB1x925V145E8rscPIjRo59N/mTh4YFOnXDs2Pnz5xs0aFBSUvJsv7OzLC+vffv2169f9/HxaX7kiNWNG47VqkGpdBk/Xvv06eTNm1sPHoyKCuzZs0+vT+vTJ1Op1BQXZxIyFvCorDSkp+c+fmygVCMIK21t895773pQUAmltteulfC8x44dTb77Tq/ToU8f9O0LuRzdu6NPH2za9ONscJI3lRTA/l/btqFWLWzejMREzJyJt96iycmjR48mhGzatKlZs2aRkZHbtm2b7+iY5u+/UK3uvmiR/vbtL7duvb98eYRe/3atWtVu3Mg7csQK8NXp+OrV04YNmxEYqGAYkVKr8nIdy0IQMGkSOna0/GDegQPo1k0IDobBwPv5wd5e266dlcFgxXE2KpWNSrWwf387OzsAUKlgMFRl5Ugkv1tpKRwcfr7TyQklJTzPh4eH79u379mrxC1b4s6dwMLCixcvdujQAUBcVtbT06f3hoQcdXKilhjz2WcYPz5l+/Zcln144MBFB4dT3bpVB4idHefiYgbUdesqVaqko0eX29l9VFo6hNL3fHzAMFpr6ywbmxP37t1KTHw6ZQqsrWFlhbIyJCaibdvXXCWS30EKYL8sPh4zZuD0aezbh6+/Rnw8Ro82d+woAwgh5KWlkJuz7IaiIq1Wu+/YMdsFC/YDo1q2tO3R48ry5Y/Xrw+2sWG2boUgfGprm1e//pC8PMP9+zyQxHGMyXSxvPxK3bqXtVpKqUCIU/fuwqRJwqVLIlCZmirm5RkA0csL06eTmTNRWYlBg2AyIT8fKSkICqrC6pFIfr/AwJezNp65dg01a9avX//evXujRo1q3Ljx9u3b76anx40dO/zAgSUmU1e9fktoqFtkZIa9/c3AwA8//LBVq1aFhYU4exb9+8eXlc3U6yfK5Ufr1p2TkxPPMOP1+u+7dfNVq3VPn+ZWr95t0KCPP/54x44dWVlZ8y5csDxgyUpKDu3cOapGjSnp6Vi5Em5uCA6Gk1MV1Inkt5MC2C9btw7vvfeTIDF2rFGjieC4Bg0aHDp06MVuGceV6XQmk8nHx+dhr14nAgJKWrQQdu3CuHHsqlX44Qf062cKCXn/9u3Hd+9Gsyxfv74D0FoQsnx9E8vLrQsLQ0SRYRgBKKI0h2HMHAeVypplTWq1h0IxFKCbNyMhAZ06oaAAX32F3r0xYYK0oKXkr2rUKKxdi7Nnn21Siq++QlYWoqImTZq0Z88eR0fHf//733v27OnRo0f31asHBAd3Hz/+7tKlduXl7ocPv5WQ8PEnn8THx4eHh0+YMAEmE1UoPv/8c1EUBUEA0KFDB2tn5wJBmLdvX6nRqMvNzcvOjtm8uZ7R2NHRsV6NGh4eHnB1hV6PW7eaN29eVFQUFxeHixeRlARpHvq/kCoZeasSvzmJo21bevLkz/ZVDh/+rkp15MgRNze36Ohos9ksiuKlNm1WsuzGjRtXrFjh4uIyefLkZZ99VqxSRTo5nbSc4eFDo53dQpYtIiRPpdKzbBYhPFBSr94pQp54eAgajQisad/e39/f39/fZDTSlSspIVQmOxsSss7BodTBgVqWMrKMMy9cSHn+1dXN35yUxPEa/Ob2dfIk9fWljRvTfv1ozZq0WTOammr5JiUlpWPHjhqNxtfX19raesaMGeXl5ZRST0/PlJSUtLS0w4cP3759m+f5iooKGxsbc7duTz74ICAggOM4Pz8/s9lMS0upvf3qjz8mhHTp0uWGtzdVKKi9vb5OnQSFoojj6OLF1NaWWltTKytdZOQKW9vTSiVVqWhYGBXFP6N+/saqsH1JAeyX9elDt2z5+c6uXb9u3bp///4nT55s0qSJlZWVRqPxlMtLrK0fjxsX4OWVlZVF09Jo+/Z0+PDz58+7uLgUFxfTL7/c6+rKcZzGyuqdHj3WLF48c+bMbxgmgZADhKyUy4/L5aX29suXL2/evPnUqVOf/ZZCQdXq2yNHfunh8XHbtpRS+vgxDQykXbq8ivr4B5EC2Gvwe7J8DQZ64QLdsYPeuPGfYUOv1z948IB/fqMmCALLslFRUV5eXh06dKhVq1ZwcHBcXFxAQEB6TIxBq53q59eqWbNguXysu/s9D4+j/v4ODg5WVlaurq4PIiKoTEYdHYVFi7o6OExXKkXLjWBmJh02zMxxBoaplMnoe+9ZVs6U/CZV2L6k2eh/WffuWL4cvXtDoXi2JzERly4Nv3UrYd68gQMHNmjQoEGDBnfv3p2zZIltVNSDtm2TcnNJrVoVopjYrp311KnNQ0KaNm16+PDhtx89uq/TEUJcXF2Xf/+95WR3gIRFi5aFhjo6Oh6trCQlJSq53LmszLOoCCYT5HI4OyM7+06rVjvu3PF2dAQAa2s8eoR33qmiGpFIXimFAs2a/dKXVlZWvr6+LzYFQSCEhISEHDx4kGVZAHv37u3SpUtlZaVtmzaPv/jiX+PHezx6RAlBdrbIcUydOhu8vI7Hxt7iee/ERN2wYdYxMczGjdsZpsxoLCFEZW19OytrLcfttbV1IGT/hQs1a9Z8HaWWvDpSAPtlffvi2DHUr49Jk+DpiStXsHYtVq1SurmtWbNmzpw5t27dUqvV4eHhNjY2AD4MDCy0s2N0urDISLPZfPjttzt27Ojr65uZmVmg0QQzTN26dW/fvt2oUaMuXbqUl5dXW7MmF3j69OnYsWNJbCx27Rr58ceRBQWm5GQcOoSZM2Fjg6ystyZObOLmFtKyJbZvx7vvQqPB8OFVXTUSyet2Zvv2T62smkVHM/n5sLGBnV33kJClvr75RUW2trbWQUH5wPv+/gv37j2dmGg/aVKN27cpIZUazZyiIp7S4KNHPVh2WVhYQx+fQmvrAfv2xVy61KFxYz3HtW3bdtmyZVL0+iuSAtgvIwQbNuD4ccTE4OhR1KqF+Hh4e1u+9PLy8vLyevnwtLQ0R0fHc3FxHMcBKC8v79mzZ2Zm5uzZs5WhoWGffTbIwSHn3Xcvb9lCjx6t5ejYzWRqqFTqdDqWZW+VlITwPGdvvz8iYt7Bg118fb9bsUKWk7M1KKhzcvKHqam2q1eDEDg7Y//+H58IJZJ/iL17m02apPL3V6enl2/aJOe4Anf3gpKSb8vLlzZrBoBZurRk+vQlS5ZcHD3668LCCh+fplZW57OyJun1QU2auMTGPvb2TpkwodeCBeMbNx4/fvzpqVNhZ5eVnS23sWEYKZftr0oKYL8mMhKRkb96lE6ny8rKMhgMhYWFLi4uAKysrIYMGTJkyJCOHTtqtdqhfn4LTp92v3aNr6zUX7libTJlEzJJoSg2GMq3bdMkJV3kuFpPnkwtLJxcUSFcvy5QKgAT09LO9emzqGtXUlGBgAA0aQKpsUn+aQoLMXbsgcmTxQsX+teufXTq1MsXLkzcsqVw3DhNUtL8ixdx8yYSE0t793Zzc7t3+bK3KHpxnE9QUA7P75XLNR064OlT3L4dMGPGqW7dgufPHzt2LLNtGxo3VlpeqXyuvLw8KSlJp9PVrVvXWZpH6q9ACmCvRnZ2djVPz2UhIVd8fGo7Oank8qc8X1pQ0JJSW1tbAHOio42hodsMhhI3N71WWzMlpXlFxSCD4WmvXv55eSgsdLt+fcW4cZ1KS0P8/NjAQEyYwA8eXLxnDxMcXNWFk0iq1JEjaNUqdNgw/ZIlpdHRUV26RPXsiRo1nFav1t2/rwHQrRsyMkIHDUp1ciIdO+rj47tHRRVcvOhLKfPllxg7Fu3aoWFDjB3rtGVLP57XTZtmu2sXTpx4+Uc2bdo0e/bsatWqWVtbJyQkDBgwYNGiRQqpt+PNJt3OvxpOGs26Bw/aFxQ0HTnSo6BA0OmCc3P7RUWtJYQZPRqimDh/fqpMNgaYr9MZU1I05eVelCYHB/t7esLFBYC6VauJ7dp1yM8XL17Ehg1o0IAzGBi12nL+vLy8efPm9ezZc8yYMTExMVVaVonk9crLg6dnQECAv0rVaerULVu2JCUl5W/cWJSaOjEykvHxAXDHyQlyuXLpUoWfn0NBwaa2bQ8WFnIA/fhjuLnh1Cm4uUGvByEfFBfLdDrcvImXbg337dv32WefnTx5Mi4u7sSJEykpKZmZme9I2VJvPCmAvRr2mzaZ7e1XRUU57NunPHzYKzdXfuoUOXp0R79+OHcup2VLzcmTLUaPLjp7dsUXX4xRqS536mQA6tWpg7Vr0b49IiJgNtteu3aotLQ4KwsALlwAy8LXF8CZM2fq1q1bWlpqSX1cuHBh586dTSZTFZdZIvnjyssRHY2lS7FnD8rK/vsx3t5ITgZg7e//73ff3b9///g+fWwTEoqaNNm8bRsePsSmTWO1WmJtjdmzMWgQbG0xahSMxu9lsgmdOuHYMSxejMBAfP31/QEDzlpbq9evh5vby7+wdOnSZcuW1apVy7Kp1Wo3bNiwY8eOH6dklLyZqiR5v0q8wtno/4uGDbN27hzi7n7X0fG7775bvXp1y5YtnyoUop0dbdu2SKUSWJYyDA0IoHZ2VK02ZWYGsqwgk9FGjeipU/T+fSqXmwcNOs6y/MyZ9JtvqIsLPXyYUmoymby8vE6fPv3ipwRB6Nix47Jly/6ssvztSO+BvQa/p32dPEm9vOjbb9N//Yt260bd3enBg//lML2eenrSffvokiU0MpIajXTnTiqX02vX6LvvUmtrSmloaOjt77+nGg0NCxM5TgRSZbLLLDuWkGtqdXlQkOjgsHnDhnVq9YXOne/fv//s9TKzme7eTefM+UitLj5z5mc/27BhwytXrvyeuviHkWaj/+srKXEPCVn3+edc9eqxsbE3b96c16iRK8eRL79E377WBkPq1KmwtwelSEjgRfFRSMgVURR5Pp8QzJqFAQNgY5OcmFhfLme//BKnTuHECXToAODq1auurq6tW7d+8VMMw0yfPl3qSJT8teXkoH9/bNuGH37AkiXYuxd792LYMBw5gqQkmM0/HmllhZgY/OtfOHECWVlwcsLw4VCp8Omn2LEDISEA2rZte2DfPri65h8+LPC8zs1NO2VKPVH8onHjXQ4Odikp6cXF8TNmdK2sXJyd/fbbb9esWfPChg2oVw/ffguFwo3jNAMGYPJky4oTFkVFRRqN5vVXjOR/JwWw/8GePejWDaGh6N37ZwO/P/L3x82bsho1/Hne8gTW6uFDKBRo1AgrV6bb21+sVQsDByIzc3+PHucVioDCQiPHPSXELympq5tbhkxmLCpq8eDBJFfX+wrF+g4dxNq1LScuLCx0dXX92a+5ubkVFBT8qYWWSP5ce/agSxc0b/5sk1Jcvozycowcif79Ua0a1q//8eAGDXDnDsaMwYABmDgRo0aB51GnDuLicPcuyspmzpzpdODAdULSW7ViAVlFxdfr1598913b3NxFAQG73N3dgfl6vfL77/dfv37//v2NX3wRNGqUKT8fmZlIS8vs1Gl+v364cQPr1ll+8OzZszzPB0nzZb/ZpCzEXzN4MJKTMWsW/PyQlITJk9GtGxYu/PlhkyZh/HgcOgSTCd9+i+HDcfEi/P2h0eDu3Yp33120aFHX2Fj23LnAu3drKhSUYRSC4GRj80OzZsZDh0wsm0rIljFjQgkREhO3bNmyZ8+egwcPsmfPtv7ss8bXrqFWLXTogA8/hJ0dgMTERD8/vyqoDYnkVUlP/8lM2cuXY9cuzJmDx4/x7bdISkLfvuC4H6fWVSjQo8ePx0dEYMwYODsjKgrt2jn6+Y2SyfTZ2T+YzSFArEYzwdfX4dw5XLmCuDjHDz8sysy0ffJEZZnR5s6dpkOHikCJTmcfEACOm3/w4EClcmnduqNXrnzQoMHx48eXLVu2bdu2lxedkLyBpCew/9fhw0hMxMWL6NkT9eph0CAcOYLVqxEVhXHjsG/fj0e2b48PPkDr1rC3fzaJRlkZZDKEhsLWNnjkyCFDhgQHBz988CC6du3HhOQSUjJxInFwaJWRkdesWbhM5tuvXyfAfetWryVLTp48aTAYbvfti8GDNa1azQgO/rptW2oyISwMhYUZGRlz5swZO3Zs1dWLRPKHOTnBkq8EQBTxxRfYsgVGoyUpF3Xq4Lvv8Pnnv/jnXbrg9GlcuYKEBDx9ipgYUlRkzbKNtdozQ4dGmM0OPXqgWjUsX46iojr37s3z8HgWvcxmtGwJR0dTrVp93NwwbRouXWIiIrbZ2bE1a1ampIwcOfLBgweXL1+OiIj482tB8sdUychblfg9g8yTJ9OXcyUuXqSurrRePTpgAP3mGxoWRjt3/smy6EVF9MgRunkzXbWK9u1Lq1enKSl01Cg6dy6lNGPLFh3LlsjlRrWachx1cKDTptEhQ0oVijgrK2ptTd3c6IkTlFIqinc7dRIJoYGBtFkzwdEx2sMjtE6dM3Xr7q9Z08nJacWKFa+gRv4xpCQOSinP8w8fPqysrPzZ/srKypycnD9+/t/cvpKTqYsLffKEUkqzs6mbG83JoR4e9ObNZweIIlUq6X9c8H937Bht1IgWFcXExIwJChJGj6a+vlStphxnjoiI1GpDQ0OfHbl2LWVZevGiSatNtcxA7+tLNRqq1dKYGNq48W8ogoRSKiVxWAiC8OjRI8N/rDJsMBhyc3Or5JKg00GrffZZEDB4MDZuRK9eqF4d48YhPv7ZOkYvaLWIisLgwZgwATt2IDISHTrAyQkrV6JePc/x40Vb2+OhoXKFAtWr49Yt3LkDT8/ufn6Xq1WDXI6kJFhu+saOrXn0aDnHoWlTVFYyHmOfj+0AACAASURBVB49/f0P1K1b2L59M5Pp9u3bU6dOrYLakPw18Tw/d+5ca2trX19fe3v7mTNnWhbNsti1a9d/DrK+DoGBmDsXDRrgo49w6BCKixEainfeQb16zw4wGgFAJvufzlZeLrq4nLl+vfbSpXMePVp18GC0n98Tf3+R0iGPHvkPGJCRkXH//n0Az4axv/pK1OvT69dHYSEOHICTE3Q6LFyIgQP/jLJK/iRvRAB7QxsYgJo1ceXKs8/Xr8PWFu3bIy4OlvdFGAYzZuD57PI/RwhWr8bGjRAEREZCo6Emk0IQbG/e3D92bIGnp7lRI7FePX7p0h6PHw9JTcW6dbC3B4C7d7F+/aUGDbI9PBASgqZNERiItDSPQ4d69u1rb2VVZbUh+Wtavnz5ggULJkyYEB0dPW7cuGXLlo0ePbqqLwoAMGECzp0Dz+P0adjZYdYsTJ/+47fbtqFFC7DsL/75yZOYPh3Dh2PZsns6Xd7hw9fHjhVSUsIVinfz88fduLHk3r1LlH5VWLhyxYrFixdHRERs3LixoqjIbGdXdPBgH3f3Vk+fYsAAHD8OrRaCALkc48a9hnJLXpkqee77mUWLFnEc969//Ss6OnratGkcxw0fPvzFtxs3bnwl1/l7uhBzc6mrK921i1JKDx2iUVF05Urq50crKp4dkJpKa9T41dPk5+cP7N/fBDRv0iRIrT4A5BFyj2EqAJ6Q4k6dOgQHz5s3z2w2U0rp1Kkiw7xnbU0Zho4YQb/8kk6ZQuVyamND58yhQ4b8tiJI/vFdiAEBAbNnz36xuXXrVgD79++3bFZl+3pZbCx1dqaLF9PUVJqcTD/+mLq40MTE/36w2UwHDKC1atElS+iGDcbBg3NYtqBmTerhMblatRUrVpw8ebKDVsu7uKRu3XpbJru3fj2l9MqVK926dVtja5uhUFSoVOXx8dRgoOvX0xEjqFxO69alo0b9/uv/B/unL2j5Rjewa9dovXq0Vi3aujXlONqiBU1J+fHbvXtpZOT/9+dJSeKuXZODg2dNmUKtrYdEROTY2t7s18/Z3n716tXffPVVOSEmV9es5OTOnTt7enp26tTpjI2NkRCzjQ3t2pV260ZzcymldNQoSgjVan+xSUt+2T88gFlZWR06dOjlPYMGDapevbplPOxNCWCU0rQ0OngwrVGD1qxJR42iGRm/eOSqVbRNG2oyWbbWrl27sEUL6u1t1mhKOI526EDDw4usrfcMHkwpTQ0OXhURQSmlycm0fXuqVlOGoSxLNRoaEkLDwqhSSb296fr10t3h7/NPHwPLyspq9tK6dgMHDhw0aNA777zzn+NhVSAsDNevY/t2TJuGkBC0aYMX+evZ2Xj/ffxSNuDTp+jUCV26FK5ePeThwwXff1/h69v78mXnpk3r7dgxduLElJSUca6uOg+Pm1ZW7qdPHzhw4OzZs+PHj6/bqpXMy4vz98euXQgKgr8/goOxeTMYBp07o06d11Z0yd9DrVq1Tp069fKepUuXlpeXT3+5v+5N4OeHzZuRmop797B2LTw9f/HIPXswc+aL4bEHDx7QDh3g5FTk5HSoYUNMnIivv/5hyZIjMhkAd50uobgYmZlo3Rpdu6KsDMuXQ6GAICAjA2lp6NIFV6/i5EmEh7+egkpelTfiPTBLA+vYseOLPUuXLg0ODp4+ffrKlSur8MKeYRiEhCAkBGFh6N8fMTFo0QJFRc+64F9+N+UFStGzJyIisH9/9Lp1CQEB4WPGMG3atDMaSUkJYmM7Ojs/WL4cW7cWfPHFmfnz37p9G4Cfl5ff99/j7l1kZiI7G1FRmDkTLVpg9WrcvYsZM5Cd/brLLvnrGzx48JQpU3ie79y5c4sWLRQKhbOz84YNG7p06aLT6dx+Oivg/6O8vPzy5cu/9K0gCJTSV3TJvyYv7+XwZm9vn52dDYaxKyjo//gx+vRBy5amgAB7e3t8840JKLTk0w8divHjAWDSJOzcCR8fnDiBAwcQHo5FixAXhzVrXtP1S16RNyKAvaoG9n/t3XlcVPX6B/DPAILsoCIgbokiZBqIC0roFVxQ8YdG2E3RcksxsJt5Cfe11HBLUHPNNUVCIHdRUyzXVERFUBIXRDbZlH05vz/GRsQsrsxhOPB5/9Gr+c6Zh2dmfHg42/d7586dzZs3v+7Z4uLi/Pz8aiXarBlOn8aZM7h2DY0aYenS1/6ReOkSsrMxfz5kMh0dndzcXHTufOff/zb48cdWMhm++qp9auoTAFeuPL51y0hdHdraKCmBiwtMTLBzJ3x9ERuLq1fxySfQ00NKCr77rlLRElWRr69vTk5OQEDA6tWrExIS5LfADxo0KDw8fOLEiclV/qsoNjZ26dKlr3tWEARNTU3lZPyPWrZEXBz+nHvXzc1tj4ODUFhYsmxZkL//FG1tPH3qtXp1mbW1oK7u3bix+9Ch2LIF8+Y9f7maGg4exIwZyM6GhweePYOrK06dAieOkppa0cCUVWA6OjrGiqveX2FsbNy2bVslpOvk9GL+m9e5fRv29pDJAPTp02fatGmpqamtXFzKNmwQLl6UNWlyt7S05OOPYWGx47///TY/H/37Y/t26OoiNBQyGSIiYGMDJydERqJ/f8ycCQ0NvPcejh9XQv5U/8yaNcvPzy8pKcnCwkIx6Obmdv/+/aioqDt37lQlSNeuXSNfN5Ua0KNHj/bt2ysh16oYOxZz58LJCSYmAGxat55dUBAPHC4pSfP17RYU5HLlyghzc4uSkj5aWm+1aePl5YVt216aX9HYGOvWISMDPXrA2xva2jWUOSlVrWhgUFKBWVhYfPXVV697Njw8vJH8OvUaYGiIP+cqbNGixdSpU4d17/5LZma+oeGhwkLL7OybRkb/3rp1/8GDnz940Lh/f7i6YuRIjBgh73kwN8eOHfj0U7Rqhbw8rFqFffuwZAn+nCCR6H+lqanZpk0bxcPp06dPnTrVxMTE2dnZ2dlZhYlV0ePHj1etWnX16lUDAwMXF5eJnp5qHTtiyBA0bozDhzUaNCgPDk44fPju3bvthwy5X1a2PC0t8NKlmbt2DR06FACcnBAain79XkTMykJUFJYvZ/eSMJVcOlIV/v7+aWlpSgzo4OBw7tw5JQas6PHjxxMmTGjdurWhoWGvXr1OhoUJJibCzZuKDZKGDEnW0ZnXtKntu+/6NW9+tmHDjAYNytTViwIDhbIyQRCE998XfvrppaAZGUK/fkLv3kJgoJCUJFLm9UE9vwrxLwGIi4tTYkBR6ysqKsrU1NTf3//YsWM//fSTm5ubvb3905gYYcMGYckSYdUqoUsXQRCE8nIhMVFISBDKyoSkJMHc/EWIzEzB0lL48kvh4UOhuFg4c0bo0kXw8xMp4Xqlvl9G/5ckVGAPHz60sLCYNWtWYmJidnZ2eHh4mzZtIseOFUxNhaVLhTNnhJAQQVtb6NlTceHvc127CoqU5s0TfH1fera8XLC3F44fFyPneoUN7FUSqq+ysjJLS8ujR49WHBw/fryfov3k5QlGRsKaNULz5kLr1oKlpWBmJowaJXh4vBQoI0Pw9hYsLARNTeHdd4UdO4TycjESrm/q+2X0Urdo0aKxY8cuXLhQvgfm7u5+7NixD8PDC48eRWIipk9HcDB0dbFjB9TUEBuL48fx4AEA6OhAcavApEn46Sds3gz5pVz5+fjiC2hpocJKYET1UGxsrIaGRv/+/SsOTpkyZf/+/c8f6Ohg8GBMnYoFC5CYiFu3ns/lVmkxlMaNsXYtkpJQVIToaHh5gZPNSxwbmBJERUUNHz684oilpaW1tfXvT59i3TqcOYOQEDg6YssW2NnBwwNLl8LBAW5uiI5Gx47PX2NqisjIkk2bSkxMyuztYWGB7GxERECN3xEp3/Hjx1u0aKHqLKokOzvbxMSk0mDTpk0zMzNfPL5yBX5+WLIEBgYwNkZUFPbswZYtePnK/uPHj3t6etrZ2bm7u+/du7cGkidR1d5fjhIqsOLi4oYNG1Ya1NLSKi4ufvH4k0+weDE8PHDrFiIjce4c4uKgpSVf3wtAXFycs6+vxR9/uJmb97t9e5Kra8ayZZAvAEGkbC4uLjo6OqrOokratm1769atStMaXL58+cVFj0VFSEzE/PmIj8ejR8jKQmQkPDxQXo6UFMVLZsyY4ePj4+7u/sMPP4wePTogIMDLy6sm3wgpXe1tYBIqsM6dOx9/+QL37Ozs6Ojod99998XQhQsYPvz57ZOdOsHWFqNGoXVrnDwJICMjo0+fPra2tseOHTt49eqB1FRtM7MhQ4aUV1jgnKh+MjMzc3Z2/vzzzxU97N69e9OmTfPx8Xm+hbo6BOH5VfL6+s9n6BAEFBZCS0u+ydGjRwMDA42MjHbu3HnixAk3N7dff/31xo0bhw4dqvE3REpTexuYhEyfPn3evHnhf65vef/+fQ8Pj08++aRx48YvNoqNxb//jVu3cPo0du1CairmzoWjI27cyMrK6t+/f05OzrVr10aPHm1jY/Pbb7+tXLmyvLz8b267Iao/Nm3alJOTY2VlNWLECDc3t+7du0+aNMnT0xPJydi/H0eOoHNnhIS89JrDh9GqlXyFh8jIyA8++KBTp07Lly//4osvLl68aG9vn5eXN2bMGDYwSast94FJmp2d3b59+3x9fSdMmGBsbJyRkeHn51d5ojk9PeTkAECrVi8Gs7NhY/Phhx8+e/Zs/fr1o0aNAnDy5MkRI0YcO3asT58+0dHRAwYMqMn3QlQLGRgY7NmzJy4uTn4f2NatW5sYG+Orr7B1K7p1A4D4eHz6KdLS4OkJdXVERGDuXAQHAygrKxs/fryHh0ebNm0cHR0BDBgwwMfHZ9GiRba2tk+fPlXtW6PqYANTjp49e16+fDkjIyMrK6tNmzbqikWMfv0Vu3bh4UMUFyMwEF5eLy7KSEvDoUOxH3xw9+7dnj17lpaWyoednZ39/PxWr17dsGHDqk+jRVTnWVtbW1tbP38wfz6uXEFsLOTHOdLTMWQIfvgBK1agrAwODjh5Un7j/40bN/T09AYMGCBf5kLO29t73NChXS5f9ikvx969+OADXi0lRfzOlKlJkybt2rV70b38/PDxx+jQAd7ecHbG9euwtsbRo7h1Czt3omdPTJkSnZ3dvXt3FxeXXbt2CX9eMeXo6BgTE/Pzzz+7uLio7M0Q1Vrl5VizBhs3QnGU3sQEO3YgPR0PHiA5Gfv2Kaatyc3NbdSo0dChQ+Pj4wMDA+XnlVvu2ROVkPD+mTP2d+7AywvGxvKz0SQtbGCiiYpCWBiuXoWPDwYPhr8/EhKQmooFC+DhgbAwbNqEGTN0dXWzs7NHjhxZUlIybNiwixcvpqamnjhx4l5c3I+Ghu+4uEBXF61bY+NGVb8folojMxOCgNatXxps1w6Fhc8P1FdgZWUVGxsL4MiRI6Ghoe3atZvTs6fOokUrNDVvnD+vlpKC/Hz07YuBA5GbW1NvgJSDDUw04eEYPx4GBi9GmjfH6NH44APExiI0FP/6FwAnJ6cLFy48fPgwMjLS0dFx8uTJ77777vcrVtwuLX0vMREjRmD1arz3HiZPxpAhqnorRLWLnh7y81FU9NJgQQGKi6GrW2lbU1PTgQMHTpo0ydzc/NSpU/v37/8sJSVWU9Nm794u8vNnGhoIDYWuLr75pqbeACkHG5hoMjNhZlZ50MwMT55UHGjUqNHXX3/du3fvHTt2uLm5BQQEODg4LNfQMFJTQ1ISVq7EuHHYuROXLuHQIZw5U3P5E9VaDRvCyQmbNr00uH49XFwUq1y+/Mx6DQ2Ntm3bDhkyxMfHR7h/X9a7t7u7+0sbtW+Pq1fFTJqUjxdxiMbSEjExlQevXUOFdTvlJk6caGdnt2zZsuXLl5uZmbm5uX1w7Rr691fc4wwAtrawtMT69f+8kgtRfbB6NXr3Rng4evSAtTVOn8bhwzh16i+31dXV3bx584MHD65du6avr990/HizV6cIyMxEy5ZiZ03KxQYmmtGj0bUr3N3xzjvym1Gwbx9++63yn40AgG7dur00sU1AwF/svRkaouLcOUT1VmEhliyBmhpSUrB+PbKz4eCA69dhaPg3L2rZsmVLeYvy8EBQEJ4+hb7+8+cuXMAff2D1avFTJ2ViAxONtjY6d0afPlBXh7o6TEygo4OIiJfOir1O69aVjxaWlSE+HrwnjAjA1KkoKMCdO5BP1pORgWHDsGULvviiSi9fvBh798LMDOPGoWNHHD+OsDD07s36khyeAxNHXh6cnGBri0eP8PPPmDMHbdrA0hJdulTp5UuX4uJFfP3184fPnmHwYBQX48svxUuZSBoKCvDjj1i7Foqp5po0QWAg1q6tagQ1NfzxB7y9ERqKzz/HxYtYsYLLnUsRG5g45BPPL1kCMzO4umL6dJw4gfv3ERVVpZf36oWVK7FgAXR00KwZjI1x/jwOHICxsch5E9V6jx7BxKRyLXTqhHv3UPW5Q9XUsGwZHj1Cfj4SE+Hjw6VVpIgNTBwXLmDw4JdG1NUxaBDOn69qhClT8OQJAgMxYgSCg5GWhr59lZ4mkfQYGeHJE5SVvTSYng59fc6mUd/wHJg4ZLJKCxEBQHn5//ZXnp4exo1TYlJEdUGTJujQAVu3vlQdK1di2DDV5USqwQYmjh49EBGB0aNfjJSW4uBBbN6supyI6or169G/Py5dwqBBKC5GcDBu3nzdNfRUh3GPWxxjxiA+HlOmIC0NAO7cwfvv4+230bOnqjMjkr6330ZsLJo3x6ZNCA6GkxOio9G0qarToprGPTBxaGsjKgpz5sDGBoWFMDbGZ59h6lRVp0VUVxgYYNYsVSdBKsYGJppGjRAUhKAg5OdDIktLExFJCA8hio/di4hIBGxgREQkSWxgREQkSWxgREQkSWxgtUZ2Ns6cwYULyMtTdSpEdcuZM3B1RbNmsLHBf/7DVR3qjPrbwFJTU48ePRoZGZmRkaHiVMrKMHcu2rbFzJmYMgWWlli3TsUpEdUZmzZh1CiMGYPLlxEWBjU1dO6M1FRVp0VKUB8voy8rK5szZ86mTZvs7OzKy8ujo6N9fX1nzZolU9VsnvPn4+xZ3LjxfA2w27fh4QEdHXz8sWryIaqewsLCjRs3nj9/Xk1NzdHRcezYsZqamqpJJT8f/v44dw7t2gGAuTlWrECDBvj6a67+VQfUxz2whQsXXrhw4caNG0eOHDl27Fh0dPSRI0dWrlypmmyKixEUhG3bXqxgaWWF779HQIBq8iGqnvv373fs2PHXX38dPHjwgAEDjhw5Ymdnl5KSoppsLl+GldXz7qUwciR++UU1+ZBS1bsGVlZWtmbNms2bN5uYmMhHmjVrtmHDhlWrVqkmoaQkGBvDwuKlwR49cPt25fm2iaTAx8fn008/DQ4OHjFihJeXV3h4+Pvvv/+lqpayKyr6ixsxdXRQWKiKbEjJ6t0hxPT0dA0NjVatWlUc7NChQ1ZW1rNnz/T09MROIC8vLzIy8v79+2+99Va/fv20dXWRmwtBeGmi+txcaGlBXV3sZIiUq6Cg4NSpUyEhIRUHp02b1rx58/LycrWaX+6kY0dcvYqnT6Gv/2Lw5EnY2tZ0JiSCercHpqen9+zZs5KSkoqD+fn5ZWVlDRs2FPunR0ZG2tjYbNy4MTExce3atW+//fapW7fQvDkiIl7abvNmuLqKnQyR0mVnZ+vr61cqJUNDQ5lMlldTl9fGxsbOnz9/3LhxixcvTiopwfDh+OgjPH78/OnDhzF3Lvz9ayYZElW92wPT09Pr0qXL9u3bx1VYTGjDhg39+vXT0KjWp1FUVKShoaH++t2mpKSkkSNHhoWFOTo6ykdOnjz54Ycfxv3wg/GYMbhxA4MHo7QUP/6IkJCqrt1MVJuYmJgUFBSkpqaampoqBu/du6etra1fcR9INN9+++2qVavGjh3r6Oh4/fp1e3v71cuWfXjnDmxs0LIlcnKgp4fdu2FvXwPJkNjqXQMDEBQU1K9fv9jYWHd397KystDQ0IiIiFPVWEwoIiJizpw5CQkJMpnM0dExICCgU6dOr262e/fu4cOHK7oXAGdnZzc3t1137/r8/jsWLcK4cWjQAL17IyYGjRq9cT5EqqKhofHxxx/7+vpu27ZNW1sbwLNnz3x8fCZOnFjNyGVlZSkpKWZmZn/zN+LFixfXrFkTHR3d9M+lVSZOnNirV6/3rl61mDkTt2/D0BAtW1YzE6o96t0hRAAdOnS4fv26hobG7NmzFy5caGxsfP36dUtLyzeLtmHDBj8/v1WrVuXm5mZkZAwfPrx///5Xr159dcvExMQOHTpUGuzYsePdu3fRogXWr8eVK7hwAd9+y+5F0rVkyRJtbW1ra+sJEyaMGzfO2tq6efPms2fPfuOAGRkZEyZMMDAw6N69u6Ghobe3d+Zr7kQODg6eNGlS0woLg1lbW7u7u0dEREBLCx07snvVMfVxDwxA48aNly5dWv04JSUlM2fO/O2336ysrACoq6vLj0zOnTv3559/rrRxkyZNkpOTKw0+evSoSZMm1c+EqJZo2LDhtm3bbt68ee7cOXV1dT8/v/bt279xtOLiYhcXl759+6akpOjr6+fk5MycOXPAgAHnzp179Zh/WlqanZ1dpcGWLVuq7CJ+Ell93ANTovj4+KZNm8q7l4K7u/vZs2df3XjYsGFbt25NT09XjCQnJ+/atWvYsGGiJ0pUszp06DB+/PgxY8ZUp3sBCA4OtrCwWL58ufwUmqGhYVBQkJ6eXlhY2Ksbt2jRIj4+vtJgXFxcpauOqc5gA6uuV+fvkMlk5eXlr25pZ2f32Wef2dnZLV68OCwsbNGiRV26dPHz87OxsamRTImk59KlS66vXJE7aNCgixcvvrrxqFGjNm7ceOvWLcXIqVOnTpw4MXToUHGzJBWpp4cQlcXKyiolJSUhIaFt27aKwf379/fs2fMvt/f393d1dd25c+eOHTvatm0bGRn56lkxIlJQV1cvLS2tNFhaWvqXl3LY2NisXLmyT58+/fr1s7S0jImJ+f3333fv3t24ceMaSZZqGhtY1cTHY+VK3LyJpk0xeDA++QRqagA0NTXnz5//f//3fxs2bHB0dCwtLQ0ODvb39z948ODrItna2tryJkoihYcPsWwZrl2DgQFcXODtjQoTJzo6On733XdffPGF4lBHeXl5WFjY3Llz/zLYRx991Ldv3wMHDjx48MDT03P79u01MDsBqQoPIVbBnj34179gaYnFizFiBHbuRL9+KCqSP/nZZ5/Nnz9/woQJhoaGxsbGW7ZsOXTokD3vMiGqihMn0KULjI0xfz4mTMDp0+jWDdnZiueHDRumpqb20Ucf3blzRxCE+Ph4T09PIyOjQYMGvS6kiYnJmDFj5s6d+9FHH7F71W1sYP8kNxdTpuD4cfz3v3jvPXh44MQJ6Ojg++8Vm3h6et66dSs5OTkzM/PkyZOdO3dWYb5EklFejnHjsGcP5s1D794YMgT79sHBAV9/rdhEXV398OHD1tbW/fr109TUHDhwoJ2d3c8//6yytSOoNmED+ye//gpbW1Q8UyWTYfJkHDhQaUM9PT2VrRlBJEXXr0NXF336vDT42WeViktHR2fevHn37t0rLCy8e/furFmzamDWN5IENrB/kpODV+/TatKk4lEOInoT/2Nx/c0cHFQ/sYH9EysrXL6MSpfF//47rK1VlBBRXdGuHW7erLyyCYuLqowN7J907gxTU8yaBcUE9leuYNEi+PioNC0i6TM3R9++8PFBQcHzkYQETJuGzz9XaVokGbyM/p/IZAgJwfjxsLJC165IS0NCAr77Dt27qzozIunbuBGTJ6NtW/TogdxcxMRg/nzwvmOqGjawKjA1xf79iI3FzZswMUHXrtDVVXVORHWCvj527MAffyA6GoaG6NIFRkaqzokkgw2syt5+G2+/reokiOoiS0u86XIQVJ/xHBgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUlS/bqROSIiIiYmBsCdO3fi4+MNDQ2V/iPy8vJKSkqMRJhNID8/v6ioyNjYWOmRCwoKCgoKGjVqJEbk/Px8MRZ0Lyoq0tbWdnR0rMrGT548UXoC9Cp5fSUmJt64cUOMEgCQnp5uYGCgpaUlRvBHjx5ZWFiIEbm0tPTJkyempqZiBM/NzZXJZPr6+mIET01NdXV1/ft1QVVYX/WogY0bN+7SpUuZmZkAzp079+jRIzH+PWVmZpaUlIgROSsrq6ioyMzMTOmRc3Jy8vPzzc3NxYj87NkzMX4p5ObmlpaWVnFdKA8Pj9atWys9B6pIUV+XLl26d++eGP9QASQlJRkaGor0yzo+Pr5du3Zqaso/LpWfn5+ent6qVSulRwaQnp4uk8mavLowjTLcv3+/QYMGzZs3/5ttVFlfQr0UEBAwbdo0MSJ/9913U6ZMESPyunXrJk2aJEbkLVu2jBkzRozIO3fuHDlypBiR9+7d6+npKUZkqqbAwEAfHx+Rgru7u4eHh4sUXFtbOz8/X4zIUVFRTk5OYkQWBGH27NkLFiwQKbiDg8O5c+dECl59PAdGRESSxAZGRESSxAZGRESSxAZGRESSxAZGRESSxAZGRESSxAZGRESSVE8bWIMGDTQ0RLmJm5GlHpmqSdSvRkNDo0GDBiIF19TUFOMuZgAaGhoS/UxEzbz6ZIIgqDoHFSgsLCwrK9PV1VV65KKiopKSkr+feeXNFBcXFxUViTEHQUlJSUFBgYGBgYQil5aW5uXliTEZGFWTeCUAIDs7W19fX11dXYzgT548EWPaMwCCIGRlZYkxWxuA/Px8mUymra0tRvDMzExjY2OZTCZG8Oqrpw2MiIikrp4eQiQiIqljAyMiIkliAyMiIkliAyMiIkliAyMiIkliAyMiIkliAyMiIkliAyMiIkliAyMiIkliAyMiIklip1EYIwAAB6tJREFUAyMiIkliA8OhQ4fCwsKUGDAoKMjBwUFfX9/a2nrZsmWlpaXVjxkaGtqtWzcjIyNnZ+fo6OjqB1QQI9tKlP4Jx8XFvf/++02aNLG0tAwMDFRiZFIupX/1kFp9QZolBqlUmVC/xcXF6ejoeHl5KSvgwoULAUydOvXAgQP+/v4aGhqzZ8+uZswDBw7IZDJvb++QkBBXV1ddXd0HDx7U2mwrUfonfPv27aZNmw4cOPCnn37y9/cHsHPnTmUFJyVS+lcvSK2+BGmWmCCdKqvXDay4uNje3h6Asr77oqIiAwODKVOmKEa+/PJLbW3t0tLS6oTt06ePq6ur/P/z8/NbtGgxY8aMaiUqCIJo2Vak9E9YEARvb+933nmnqKhI/tDJyalnz57KCk7KIsZXL636EiRbYoJ0qqxeH0KcPXu2urq6/OtXiqSkpNzcXDc3N8VIjx49CgoKHjx48MYxs7KyfvnlF09PT/lDbW3twYMH7969u7q5ipNtJUr/hEtKSoKDg0ePHq2pqSkfCQkJ+f7775UVn5RF6V89pFZfkGaJQVJVVn8b2OnTp9esWbNjxw4lLmZqYWGRkJDQq1cvxchvv/2mra1tbm7+xjGTk5MB2NjYKEZsbGzu3btXXFxcnVQhTrYVifEJJyUlZWZmdu3atbS09ObNm2lpaaamph07dlRWfFIKMb56SK2+IM0Sg6SqrJ42sOzs7NGjRwcEBFhZWSkxrJaWlqWlpZaWlvzhrl27AgMDfXx8GjZs+MYxU1JSABgbGytGGjVqJAhCbm5uLcxWQaRPODU1FcDZs2cbNWr0zjvvmJqaurq6ygeplhDpq4fU6gvSLDFIqsrqaQObNGlShw4dJk2aJFL89PT00aNHe3l5eXl5ffPNN9UJJQgCgIpLestHlLiquhKzVRDpE87MzAQQFBQUGhr69OnT06dP37hxY/z48cr9KVQdYhcXpFZfkFSJQVpVpsoTcDXl+PHjivfr7++/e/fuxo0bP378WP6sg4PDG5//rBRZPnjw4MGmTZu+9dZb4eHh1U8+JiYGwPnz5xUjq1ev1tLSqn5kOeVmK6fET7iSs2fPAtiyZYtiZN26dQCysrKUEp/+V+IV16vB5YPSqi9BaiUmSKrK6kUDy8vLi/tTWlraf/7zn7/s5W/wz6tSZEEQDh48qK6uPnny5IKCAqUk/+TJE5lMtn37dsWIr6+vpaWlUoIrPVs5JX7Cldy9exfAL7/8ohg5fPgwgNu3b1czMr0Z8Yrr1eCC1OpLkGCJCZKqMpkgCH/5QdRht2/ffvjwoeKhr69vs2bNpk+f3qlTJxMTk+pELi0tbdWqlYuLy/bt26ud5gsuLi5GRkahoaHyH9G+fXtPT88lS5ZUM6xI2ULMTxhAhw4d3N3dFcdhvvrqq3Xr1mVnZ6up1dPj4bWKqF+9tOoLki0xSKfKNFSdgApYWVlVPO1paGhobm7u4uJS/chRUVHJycnm5ubbtm2rOP7hhx9W57TttGnThgwZsmDBAhcXl7Vr12ZlZU2cOLHayYqVLcT8hAHMmTNn1KhRMpnMycnpzJkzK1asCAgIqG11VW+J+tVLq74g2RKDhKpM1buAqqfEw8evu1UiJSWlmpFDQkK6detmaGjo4uJy9erVWp5tJco9QC8Iwu7du7t166anp2dra7t161YlRiblUu5XL636EqRcYoJEqqw+HkIkIqI6oPbtEhIREVUBGxgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUkSGxgREUkSG1hds3DhQplMFhIS8pfjx44dU0lWRHUD66tWkQmCoOocSJmKi4s7deqUn58fFxeno6MjH0xOTraysho4cOCrhUdEVcf6qlW4B1bXaGpqrl279uHDh0uXLlUMzpgxA8CKFStUlxdRXcD6ql0Eqou8vLwaNmyYmJgoCMKlS5dkMtmSJUtUnRRRHcH6qiV4CLFuSktLa9++vbOzc2hoqJOTU3p6ekxMjKampqrzIqoLWF+1hPq8efNUnQMpn66urrGxcUBAQFpa2r59+/bs2dOuXTtVJ0VUR7C+agnugdVZ5eXlPXv2vHDhwvDhw4ODg1/dICcnx9DQsOYTI6oDWF+1AS/iqLPU1NT8/PwAfPnll68+m5ub26tXrxpPiqiOYH3VBmxgdZmWlpbivxV988033bt3z83NVUVSRHUE60vl2MDqowEDBnzzzTeqzoKobmJ91RgNVSdAKmBvb29mZqbqLIjqJtZXjeEeGBERSRL3wOqywYMH8ypTIpGwvlSOe2BERCRJbGBERCRJvJGZiIgkiXtgREQkSWxgREQkSWxgREQkSWxgREQkSWxgREQkSWxgREQkSWxgREQkSWxgREQkSWxgREQkSWxgREQkSWxgREQkSWxgREQkSWxgREQkSWxgREQkSWxgREQkSWxgREQkSWxgREQkSWxgREQkSWxgREQkSWxgREQkSWxgREQkSWxgREQkSWxgREQkSWxgREQkSf8PojTqKsQbu1wAAAAASUVORK5CYII=)
2 3
400 500
[1] 400 500
[,1] [,2]
[1,] -4.6033765 0.09181518
[2,] -0.5486982 4.92952169
[3,] 0.3524381 -0.24937654
alpha1 alpha2
[1,] -5 0
[2,] 0 5
[3,] 0 0