{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Normalizing Flows Overview"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Normalizing Flows is a rich family of distributions. They were described by [Rezende and Mohamed](https://arxiv.org/abs/1505.05770), and their experiments proved the importance of studying them further. Some extensions like that of [Tomczak and Welling](https://arxiv.org/abs/1611.09630) made partially/full rank Gaussian approximations for high dimensional spaces computationally tractable. \n",
    "\n",
    "This notebook reveals some tips and tricks for using normalizing flows effectively in PyMC3."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import pymc3 as pm\n",
    "import numpy as np\n",
    "from theano import theano, tensor as tt\n",
    "from collections import Counter\n",
    "\n",
    "pm.set_tt_rng(42)\n",
    "np.random.seed(42)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Theory\n",
    "\n",
    "Normalizing flows is a series of invertible transformations on an initial distribution. \n",
    "\n",
    "$$z_K = f_K \\circ \\dots \\circ f_2 \\circ f_1(z_0) $$\n",
    "\n",
    "In this case, we can compute a tractable density for the flow.\n",
    "\n",
    "$$\\ln q_K(z_K) = \\ln q_0(z_0) - \\sum_{k=1}^{K}\\ln \\left|\\frac{\\partial f_k}{\\partial z_{k-1}}\\right|$$\n",
    "\n",
    "Here, every $f_k$ is a parametric function with a well-defined determinant. The transformation used is up to the user; for example, the simplest flow is an affine transform:\n",
    "\n",
    "$$z = loc(scale(z_0)) = \\mu + \\sigma * z_0 $$\n",
    "\n",
    "In this case, we get a mean field approximation if $z_0 \\sim \\mathcal{N}(0, 1)$\n",
    "\n",
    "## Flow Formulas\n",
    "\n",
    "In PyMC3 there are flexible ways to define flows with formulas. There are currently 5 types defined:\n",
    "\n",
    "* Loc (`loc`): $z' = z + \\mu$\n",
    "* Scale (`scale`): $z' = \\sigma * z$\n",
    "* Planar (`planar`): $z' = z + u * \\tanh(w^T z + b)$\n",
    "* Radial (`radial`): $z' = z + \\beta (\\alpha + ||z-z_r||)^{-1}(z-z_r)$\n",
    "* Householder (`hh`): $z' = H z$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Formulae can be composed as a string, e.g. `'scale-loc'`, `'scale-hh*4-loc'`, `'panar*10'`. Each step is separated with `'-'`, and repeated flows are defined with `'*'` in the form of `'<flow>*<#repeats>'`.\n",
    "\n",
    "Flow-based approximations in PyMC3 are based on the `NormalizingFlow` class, with corresponding inference classes named using the `NF` abbreviation (analogous to how `ADVI` and `SVGD` are treated in PyMC3).\n",
    "\n",
    "Concretely, an approximation is represented by:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "pymc3.variational.approximations.NormalizingFlow"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.NormalizingFlow"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "While an inference class is:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "pymc3.variational.inference.NFVI"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.NFVI"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Flow patterns\n",
    "\n",
    "Composing flows requires some understanding of the target output. Flows that are too complex might not converge, whereas if they are too simple, they may not accurately estimate the posterior. \n",
    "\n",
    "Let's start simply:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "with pm.Model() as dummy:\n",
    "    \n",
    "    N = pm.Normal('N', shape=(100,))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Mean Field connectivity\n",
    "\n",
    "Let's apply the transformation corresponding to the mean-field family to begin with:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<pymc3.variational.approximations.NormalizingFlow at 0x109b841d0>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.NormalizingFlow('scale-loc', model=dummy)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Full Rank Normal connectivity\n",
    "\n",
    "We can get a full rank model with dense covariance matrix using **householder flows** (hh). One `hh` flow adds exactly one rank to the covariance matrix, so for a full rank matrix we need `K=ndim` householder flows. hh flows are volume-preserving, so we need to change the scaling if we want our posterior to have unit variance for the latent variables. \n",
    "\n",
    "After we specify the covariance with a combination of `'scale-hh*K'`, we then add location shift with the `loc` flow. We now have a full-rank analog:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<pymc3.variational.approximations.NormalizingFlow at 0x1156df0b8>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.NormalizingFlow('scale-hh*100-loc', model=dummy)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A more interesting case is when we do not expect a lot of interactions within the posterior. In this case, where our covariance is expected to be sparse, we can constrain it by defining a *low rank* approximation family. \n",
    "\n",
    "This has the additional benefit of reducing the computational cost of approximating the model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<pymc3.variational.approximations.NormalizingFlow at 0x1156dfeb8>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.NormalizingFlow('scale-hh*10-loc', model=dummy) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Parameters can be initialized randomly, using the `jitter` argument to specify the scale of the randomness."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<pymc3.variational.approximations.NormalizingFlow at 0x115fea7f0>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.NormalizingFlow('scale-hh*10-loc', model=dummy, jitter=.001) # LowRank"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Planar and Radial Flows\n",
    "\n",
    "* Planar (`planar`): $z' = z + u * \\tanh(w^T z + b)$\n",
    "* Radial (`radial`): $z' = z + \\beta (\\alpha + ||z-z_r||)^{-1}(z-z_r)$\n",
    "\n",
    "Planar flows are useful for splitting the incoming distribution into two parts, which allows multimodal distributions to be modeled. \n",
    "\n",
    "Similarly, a radial flow changes density around a specific reference point."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulated data example"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There were 4 potential functions illustrated in the [original paper](https://arxiv.org/abs/1505.05770), which we can replicate here. Inference can be unstable in multimodal cases, but there are strategies for dealing with them.\n",
    "\n",
    "First, let's specify the potential functions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def w1(z):\n",
    "    return tt.sin(2.*np.pi*z[0]/4.)\n",
    "def w2(z):\n",
    "    return 3.*tt.exp(-.5*(((z[0]-1.)/.6))**2)\n",
    "def w3(z):\n",
    "    return 3.*(1+tt.exp(-(z[0]-1.)/.3))**-1\n",
    "\n",
    "def pot1(z):\n",
    "    z = z.T\n",
    "    return .5*((z.norm(2, axis=0)-2.)/.4)**2 - tt.log(tt.exp(-.5*((z[0]-2.)/.6)**2) + \n",
    "                                                      tt.exp(-.5*((z[0]+2.)/.6)**2))\n",
    "def pot2(z):\n",
    "    z = z.T\n",
    "    return .5*((z[1]-w1(z))/.4)**2 + 0.1*tt.abs_(z[0])\n",
    "\n",
    "def pot3(z):\n",
    "    z = z.T\n",
    "    return -tt.log(tt.exp(-.5*((z[1]-w1(z))/.35)**2) + \n",
    "                   tt.exp(-.5*((z[1]-w1(z)+w2(z))/.35)**2)) + 0.1*tt.abs_(z[0])\n",
    "\n",
    "def pot4(z):\n",
    "    z = z.T\n",
    "    return -tt.log(tt.exp(-.5*((z[1]-w1(z))/.4)**2) + \n",
    "                   tt.exp(-.5*((z[1]-w1(z)+w3(z))/.35)**2)) + 0.1*tt.abs_(z[0])\n",
    "\n",
    "z = tt.matrix('z')\n",
    "z.tag.test_value = pm.floatX([[0., 0.]])\n",
    "pot1f = theano.function([z], pot1(z))\n",
    "pot2f = theano.function([z], pot2(z))\n",
    "pot3f = theano.function([z], pot3(z))\n",
    "pot4f = theano.function([z], pot4(z))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def contour_pot(potf, ax=None, title=None, xlim=5, ylim=5):\n",
    "    grid = pm.floatX(np.mgrid[-xlim:xlim:100j,-ylim:ylim:100j])\n",
    "    grid_2d = grid.reshape(2, -1).T\n",
    "    cmap = plt.get_cmap('inferno')\n",
    "    if ax is None:\n",
    "        _, ax = plt.subplots(figsize=(12, 9))\n",
    "    pdf1e = np.exp(-potf(grid_2d))\n",
    "    contour = ax.contourf(grid[0], grid[1], pdf1e.reshape(100, 100), cmap=cmap)\n",
    "    if title is not None:\n",
    "        ax.set_title(title, fontsize=16)\n",
    "    return ax"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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q6zNM9fE59KtumPrR536r0Y26Ku9TVAI45GoN0tTZUbIJM1Qs1LRxVQlMk9fUma2qsyEB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\neQsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1160b4080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 2, figsize=(12, 12))\n",
    "ax = ax.flatten()\n",
    "contour_pot(pot1f, ax[0], 'pot1', );\n",
    "contour_pot(pot2f, ax[1], 'pot2');\n",
    "contour_pot(pot3f, ax[2], 'pot3');\n",
    "contour_pot(pot4f, ax[3], 'pot4');\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Reproducing first potential function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from pymc3.distributions.dist_math import bound\n",
    "def cust_logp(z):\n",
    "    #return bound(-pot1(z), z>-5, z<5)\n",
    "    return -pot1(z)\n",
    "\n",
    "with pm.Model() as pot1m:\n",
    "    pm.DensityDist('pot1', logp=cust_logp, shape=(2,))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### NUTS\n",
    "Let's use NUTS first. Just to have a look how good is it's approximation.\n",
    "\n",
    "> Note you may need to rerun the model a couple of times, as the sampler/estimator might not fully explore function due to multimodality."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      " 99%|█████████▊| 1481/1500 [00:03<00:00, 473.27it/s]/Users/ferres/dev/pymc3/pymc3/step_methods/hmc/nuts.py:451: UserWarning: The acceptance probability in chain 0 does not match the target. It is 0.889185534675, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "  % (self._chain_id, mean_accept, target_accept))\n",
      "100%|██████████| 1500/1500 [00:03<00:00, 467.67it/s]\n"
     ]
    }
   ],
   "source": [
    "pm.set_tt_rng(42)\n",
    "np.random.seed(42)\n",
    "with pot1m:\n",
    "    trace = pm.sample(1000, init='auto', cores=2, start=[dict(pot1=np.array([-2, 0])),\n",
    "                                                         dict(pot1=np.array([2, 0]))])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.JointGrid at 0x116b9a208>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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KBrzy/yaeuXW4XnUWpoqfI1q9ejVeeeUVAEBERARMJhPMZk7eIyJqK9Jug8cr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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1170b1048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dftrace = pm.trace_to_dataframe(trace)\n",
    "sns.jointplot(dftrace.iloc[:, 0], dftrace.iloc[:, 1], kind='kde')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Normalizing flows\n",
    "\n",
    "As a first (naive) try with flows, we will keep things simple: Let's use just 2 planar flows and see what we get:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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epVVNSIkLF12SxxhE5Be80R11PwZDifzZyMwYnC6px3dHyvCz6YNFl+MxDs1R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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x116b12c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with pot1m:\n",
    "    inference = pm.NFVI('planar*2', jitter=1)\n",
    "    \n",
    "## Plotting starting distribution\n",
    "dftrace = pm.trace_to_dataframe(inference.approx.sample(1000))\n",
    "sns.jointplot(dftrace.iloc[:, 0], dftrace.iloc[:, 1], kind='kde');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Tracking gradients\n",
    "\n",
    "It is illustrative to track gradients as well as parameters. In this setup, different sampling points can give different gradients because a single sampled point tends to collapse to a mode.\n",
    "\n",
    "Here are the parameters of the model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[b, u, w, b, u, w]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "inference.approx.params"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We also require an objective:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Elemwise{mul,no_inplace}.0"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "inference.objective(nmc=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Theano can be used to calcuate the gradient of the objective with respect to the parameters:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Elemwise{add,no_inplace}.0,\n",
       " Elemwise{add,no_inplace}.0,\n",
       " Elemwise{add,no_inplace}.0,\n",
       " Elemwise{add,no_inplace}.0,\n",
       " Elemwise{add,no_inplace}.0,\n",
       " Elemwise{add,no_inplace}.0]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "with theano.configparser.change_flags(compute_test_value='off'):\n",
    "    grads = tt.grad(inference.objective(None), inference.approx.params)\n",
    "grads"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we want to keep track of the gradient changes during the inference, we warp them in a pymc3 callback:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from collections import defaultdict, OrderedDict\n",
    "from itertools import count\n",
    "\n",
    "@theano.configparser.change_flags(compute_test_value='off')\n",
    "def get_tracker(inference):\n",
    "    numbers = defaultdict(count)\n",
    "    params = inference.approx.params\n",
    "    grads = tt.grad(inference.objective(None), params)\n",
    "    names = ['%s_%d' % (v.name, next(numbers[v.name])) for v in inference.approx.params]\n",
    "    return pm.callbacks.Tracker(**OrderedDict(\n",
    "      [(name, v.eval) for name, v in zip(names, params)] + [('grad_' + name, v.eval) for name, v in zip(names, grads)]\n",
    "    ))\n",
    "\n",
    "tracker = get_tracker(inference)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'b_0': <bound method Variable.eval of b>,\n",
       " 'b_1': <bound method Variable.eval of b>,\n",
       " 'grad_b_0': <bound method Variable.eval of Elemwise{add,no_inplace}.0>,\n",
       " 'grad_b_1': <bound method Variable.eval of Elemwise{add,no_inplace}.0>,\n",
       " 'grad_u_0': <bound method Variable.eval of Elemwise{add,no_inplace}.0>,\n",
       " 'grad_u_1': <bound method Variable.eval of Elemwise{add,no_inplace}.0>,\n",
       " 'grad_w_0': <bound method Variable.eval of Elemwise{add,no_inplace}.0>,\n",
       " 'grad_w_1': <bound method Variable.eval of Elemwise{add,no_inplace}.0>,\n",
       " 'u_0': <bound method Variable.eval of u>,\n",
       " 'u_1': <bound method Variable.eval of u>,\n",
       " 'w_0': <bound method Variable.eval of w>,\n",
       " 'w_1': <bound method Variable.eval of w>}"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tracker.whatchdict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Average Loss = -0.7863: 100%|██████████| 30000/30000 [00:55<00:00, 541.29it/s]  \n",
      "Finished [100%]: Average Loss = -0.79931\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<pymc3.variational.approximations.NormalizingFlow at 0x1166a64e0>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "inference.fit(30000, obj_optimizer=pm.adagrad_window(learning_rate=.01), callbacks=[tracker])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.JointGrid at 0x11e519860>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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yB0ASMYiIiFTIcCqJBA7NERGREgJoZI5BRESkZkIAJBGDiIhIhdqH5gKhT8Qg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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e519b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dftrace = pm.trace_to_dataframe(inference.approx.sample(1000))\n",
    "sns.jointplot(dftrace.iloc[:, 0], dftrace.iloc[:, 1], kind='kde')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BAgouy3+JVL8JyDoXBjnJiXH/jyfm/+mM+oBFsZHExmb9jSvLfLUiBz6WTid0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\nIhlgQCYiIpIBBmQiIiIZYEAmIiKSgf8Hq3nS2O54cAMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1160a3fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(inference.hist);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see, the objective history is not very informative here. This is where the gradient tracker can be more informative."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "trackername = ['u_0', 'w_0', 'b_0', 'u_1', 'w_1', 'b_1', \n",
    "               'grad_u_0', 'grad_w_0', 'grad_b_0', 'grad_u_1', 'grad_w_1', 'grad_b_1']\n",
    "\n",
    "def plot_tracker_results(tracker):\n",
    "    fig, ax = plt.subplots(len(tracker.hist)//2, 2, figsize=(16, len(tracker.hist)//2*2.3))\n",
    "    ax = ax.flatten()\n",
    "    #names = list(tracker.hist.keys())\n",
    "    names = trackername\n",
    "    gnames = names[len(names)//2:]\n",
    "    names = names[:len(names)//2]\n",
    "    pairnames = zip(names, gnames)\n",
    "    def plot_params_and_grads(name, gname):\n",
    "        i = names.index(name)\n",
    "        left = ax[i*2]\n",
    "        right = ax[i*2+1]\n",
    "        grads = np.asarray(tracker[gname])\n",
    "        if grads.ndim == 1:\n",
    "            grads = grads[:, None]\n",
    "        grads = grads.T\n",
    "        params = np.asarray(tracker[name])\n",
    "        if params.ndim == 1:\n",
    "            params = params[:, None]\n",
    "        params = params.T\n",
    "        right.set_title('Gradient of %s' % name)\n",
    "        left.set_title('Param trace of %s' % name)\n",
    "        s = params.shape[0]\n",
    "        for j, (v, g) in enumerate(zip(params, grads)):\n",
    "            left.plot(v, '-')\n",
    "            right.plot(g, 'o', alpha=1/s/10)\n",
    "        left.legend([name + '_%d' % j for j in range(len(names))])\n",
    "        right.legend([gname + '_%d' % j for j in range(len(names))])\n",
    "\n",
    "    for vn, gn in pairnames:\n",
    "        plot_params_and_grads(vn, gn)\n",
    "    fig.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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5sCIcasKvDqRv11Y1rvfMpJFs2hpj4mOz69z+rRcP4j/f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\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2LwpFViiUNql+UgGH9DmsPbCYa82gz/b03X6/m2wJa/2qOK2Utbhu7ovqf2tRYbC3zdEB\nkWqrjV0tW1aNF5z6GJ7/60dQj3KuuG4r9+xotD+75+EGr7/i++3X57/oeJ58zME9qrrFYrFYLBaA\n3fWYndMRSa4opCaXmrzIibRDJTCRATumYvL/3U2zmTM8FKBbC6VaxccVTjuiplwIlT43UVoQ+m7b\nD6VdsaYVgbHYJ7QLmWH2Wxyap8zz31/KYhXWvlR4p59MGenRTIxQk6QFhdJ4wkG1hLYkN4vhuJUi\nY0SCnJlmylQ9pR5nVDyX2IFq4aO0Ymo2wfdMWWvfNRWSoqxAT8dsGA77Vl3KJXjCoZ5LwkCQS4Er\njHeK1tCMCkZrxmejkJKAuQisOFFkuUYrM9ccNFJrqhWP4YpPVkh0Ial4LuYnNJ+hy0gRTdDyRMkK\nyVDFJ80kcSZpRBmVwAgzQjhkmfEwCVrvgUnn61+u3kTyVAKPpBVRFGUFvifIC4VWmkw6VFzByHCA\nxohYngfVwJivdkaRlXO2HnWnXsW5xAGkhINCl1wqoqSgEvQsvJXumq+950C/aJO8kEzOJuSJSWPz\nhKnqlbW+G/pu+7xYSrTboPMvzRXVsH9Z9UFRGbXQI8lkO5ola0VuCVdQ812CloDSeVzlOPSKQWW1\nIlc4XedIbYAZc5JLhqs+2qFVwt1pp2+O9ETRuI7pW+exZ4UkzSQPT0XzzNoXw0LC2J6uM4vxjMly\nyWycMdvIiTMjZnYKYHszImZfetjsi+p/a1FhsF+bjShbVnW2lWKFG8uq4jgOo0MBl/zxU9vvPTQZ\nccXnt7JrZu7Jxse+eivCuY3L//Q3GBtanqGYxWKxWCwHKjP1nCiVxrg0M2kVeQEajXIKXNfh4SlJ\nJiWeLzhM1ghDD084NNMc4TjtKj9COO0FLJj0KdlKO6kEHllhFmyjXtDXO2MQC5lh9nuyX1bIWex+\n+rEeSoV3egkVhaKRFMRpTjMqKKREKciURDgOruPg+4JCKdDw4K4mzaSgyBSe31rYxjmJI3EchyQw\nY1RIyIuckZqP0poQF9dzyHPN7pmULC+IWhEuE6MhlZZnSq5NtIsvXEYqxjTYdR2k1riOQCuTupTl\nRjyRLT+YtFAEQiC1idLJCkkQiLYY6AlBogqmm2lbbFFSIzWMDwXtMuBJKo2w5LvEmUk1CjyTGpRk\nEvPzO1QCU5ocaKcglSl0nQhBVyROPc8IXEEhjSBZpnsprfE8U4FNSiPa+B2pYGVUQ72RUo8L7ttV\nx3NchqouldBDK40jHAolW+2aCB7dM11L/52SxUSbRGmBH0oacU49NqXZlVRdZaHzQrarxC2W3rb7\nVazq59MzVPHmeScZDxvZvh5kuSQtJIFweSCOmRgNzO/eMaZl+52ePqXgUgs9XOEQpfM9tGBO9Cn/\nG60FjC9CKBkfDphpzqVmFVKR5pKRis/kbEIl9AamtC2FvXWdyXLJdCMlSguEMClo5XkxMRJ2eVat\nhLUQs/dUxWpv9GcpFQb31hisp6qGVrix7HM2b6hx2WufRpJJqqHLDT/axld++CuU1rzlyh8CcPZv\nHsWpx29mfDjAcWwUjsVisVge2UitaMY5OycTds/EdFZITlLI0hzfA6VNlEXouowNKxAOwhEcsqFm\nqk71KQ/sCoFueUd0mhgP1fwlPXleyAyz35P90s+h3/aLJcllK/VCtheKpUhVDb19smhpG/NmBXFW\nEMUZSS7Z3YjJMkXoGQEkL4zPi+e6zNQTRmoVkqKgGRc04oyxoYChwKPuCaYbGb4nUFpTDVx0K+Kl\nHudUAs9EyCiPNImZbiQEgSDPFY5w2Dkds2EsxBOC0ZaIkktFmjtUCs1snJMrjStMxEQYulQDD9cT\nVD0XHBivBWRSESfmmLSEkYqP55rfy/dd0sSk9nSmQpX+NBuGSy/DlLRQ1OOCLJNkUiPQKKkpMOl7\nI1WfJCtQUuF6xt8jzY0Bbu+SyRWCWmi8QUJfkLUil1Trty+k2afSmmroUfU9PM+IOEmrepbAoVbx\nmJxJ2DkT4wkHTwgKJZmJTIueJwhcgW5N52rgt/yCuudmOdfAzNsyLamkN9pkcjYlTnO0mHQFvAAA\nIABJREFUK5BZQRi4xGlhFvK5xHMFoe+alLglmtT2nn8mHYm2OFoKOa5wGK4GbfHBdx1cRzBcnet3\n3vqdTL8VaSFRSuN4oFoeQkppxjr657oOWS7JW54+jbigmWSAw0jFZ6jqLUms7Y0WyXLZrvIVVAOy\nXLJhtMpU3ZSxT/KCOCkQjkOhjEF3JfT6prQthl6zb8915kW2LXXxnuRGsIuzuRS20HMJAxd/Bf1b\njJ8YrK6YPUhwT9Jinri53P4s1Eb5+SBz8b3d5lpUNbTCjWVNEML80QT43dO2cPoph3Pptf/NQ5MR\nAF/43l18oeWP88YXn8hJR29as75aLBaLxbLWCBxmmxkPTNeJs/mfKyAtYLqRorSiFvpEWUAYCMaH\nQ+NdUigKX3VV+QGohub/vQaZrjNfVOlcFBiPGsWkMovvfgttGGzOOTEcdN1cd26/WJLWorf9OpPt\nKj2e63T1r3yaneaSex6eZddUQt76bPOGGhtGq33bKFMb+lVzynJpFt5Jzo7JqFW9qMB3BUoaUWHX\nVI7G+Lm4wsFxcqLUo5krhnwXKU1EQz0uWp6sZgEuHE1OgaMVmTSpR64DmSxImpKxGjRTSRhCIR2y\nXCE1+K5DrhRHHTrWErNMupyUigRt/HM8iBLJbpWQtlKZcqnxRwRxItFoslzhukb8yQqF6zlUA59a\n6DI2HBI1k1Z1s1ZVpMykSEWxYqQVFaMUNJPcRP+00oGaSY7vCoaDkFrgMVwLaEQZjaxgY1hBCOOt\nk7QWt81EIrViuOIzUvNxHFM5aLqZ0YgykwoUGBEnSSWOMILKdD0lr5rv1Zs5jSQD7eD7DtWKx86Z\nGLQmyRWhL0gjaSpQpSkTYwG4cMhEtW1QHPqinVJVCoS5nCsBbcyZNVLNnVu+51LDiHo7ZxKm6okp\ns+57NJspngONOKeQmuGKhy/MuVnUFbQEkMWm+/SKo6U/TegJICMvFEI489ITZ6McryUUdUbJFMrc\nr/ueoBp4xFnRLs0NkEnVFYFUaXkHlZTRUXmhqCdZ22w7LxSzUdYqpS0oDYdLcaTf8faKEdP1hHse\nmMVzHTQmoqoSuiZKLTViY54bkchtRV65QrBprLKoyAygnf6Y5orpRoIQgvGa354P5W/eawht0rv6\newoladESOA2lmXK5r8WyVD+x8v3VFG4GCfeF1Ph9FIfl9KdfG6Vw31lufibO2+bPq9Fm+f6+xgo3\nlnXBcNXn0vNO5b6HG3z2X/+XX2yfan/2/33xFgDOetaRnPS4g3jUpqG16qbFYrFYLGuEMZmdbaoF\nt8ok7JrNyYtJDp4YYbjq4uAwXPUZGw5bfhGt9I3WIqM0CjXpC3MGqv1uTMtFQWcaRl4odk7HrQWX\nuVnut3Dp98S7n6lvkjvt7fdE0XNDXfr4xKnE87r7V49zKr5g2+4G/3nrDhpRjtZQCQTjIyGHbhqi\nGpjUsFrotqoHaRpxTpqZVJE0kxRKMRR4jA+HuJ4wT+SzAoVmqp4SJTmZ1CRJQZEroiQzPjCiZSYN\n+EMucVyQ5xJZKFCQZQVRKyUnDFw81yH0PaTSVAOT3pRJjZCaWsXDc120zpGFJpMSRwgC35gZx4nx\nfSmkYmLUVBq7R2kcp0BpKKREuGaxOVPPcDRobcSiHZMx1dA1Bq9aoRB4DugANm+smlLVgdv2JawG\nnjH/LYxfTaE0O2diqoHPTCMhyozxclm5ymtFsgSuQxC4REnOTGTKYqepYqTm4QgHKRWV0GulYrlz\nfjWuoh5lZrzSnMmZBI1JlQorAs918V2BlCZtp5HkVHyX4apPlJiojBk3ZaaZgnIIfFOJSmoFjhEc\nhsvoIsdhqp62S7OXkSOl+XeZcthZGagoNL5XoDGpMJVA0JAm2irLJVFSoGZimvUE1zXnYik4+NWA\nkapPoTS5pH2OlQvHXjGjV3DwXYfZKKeZ5NSbGdXQpI9Jpdvm0GGPT0+U5F0VxaTSzLREMYCZZkaa\nGUEMDX4gqIYeDuA6Ttd5Xoodk7MJuTRCUdESjMpzsTxHp5upqWCX5HiOYLjmEwQe4zWfxHe7Urry\nXLYjmaIkZzLK2D0bk0tT2SpOCja0/J+S1mVLo9k1mzAxHBIEbltU7RzHQQKIaqW3leMvWmba01GG\n35HmJbXqErI7/XvyAmYaGaEv2mJUIXW74loncWrM502Z+7l0tUEV95bqJwbdUSllxNLeFHIG+SX1\n96paXsRKxXeZTtMukTEvVJfxN8xVj9uTcfZi21wv1blWVbi56667+IM/+ANuuukmwnDl9egtBz6H\nHzzMRS87uf36X//7Pj79L3cA8KV/u5sv/dvdHH7QEO8+5ymtp1Y2jcpisVgsBz4KyPL5N4+DmIkU\nmZxlrBbiAFONlEdtHGLTWNWU7G1V4hmu+owPhwS+21UCHPrfmLbTglppGGWlKoAKJjw9DAS+65AU\nkplGRl4YX4tq6M17ml7+X3Y8lV1KWLvnOmTF3IJwtpkhhIPnCMBv9y9JC+pxzsPTEffsaDI1G+MK\n87ReADunYmaijCMPHSMrjB/NhpEKYWDKG9ejjKKVljPbzMxTZN9l81iNIBQMtc1aTb8drU2lGyUR\nrsBptaMcB0drksxEtVQxaUKeaPmxtCJTBCYCIc80UZbjug61wDeCRqGoYUQMt6yeJDW+YyI+Minx\nXZepetqOYPA9YUyNKz5FIWlEEk8IYzKsNVEmURpmmzl5Lsm1Bg1RXFDxBaNDxn8jSgsCV7BhtAL5\nCLtmOysxaaYaqSlnXSgi15SvL3JThjyVitFKiB84FFKTSUUFjygtaEYmwibLFYUK8ISpiFUucEtB\nKPAEtdA3FZ6kIsuNaW4zleyuJ7iO4OANFcaqFSoVgdLG7ybJJbXQa6XytMxsNURZDsIjz42fi9Ka\nWugzVPVJMsn9Oxv4LePk0BMozBiP1Lr9aDpFzCQr8LygLepM1RNmGilZq3y2VIrpmZSiKNqRUG5r\nzPJc42BS3so1ZxlNMBtnBLkxVk7ynDiRXca95cK8GnrtqJrSwDkrFFP1lJ0y5uDxKgLakSO6Yy2b\nFyblLU6NwFUNPVMqPcoIA5fRqjmu8eEQVziMDYftSJtmUjATpRS5mcNgUumilsAFpipXNfBoJOY8\nCgOXIldoz4gOhVTMNlMqvks19NkwGpIXsHMmIfSMD9Ku6Rha3jAwZ+a8YzJm01gFzxW4rWgoc24o\nRrygnaK1kJl0ifk959YYZZU0pXRXdIej5zYrPa7SQrFrJkYrc30yx2Gua7qj4lr5u2StNDTPhWor\nQmn3bGLmZOi1xDaPxBfta/VS/cTKqJSyn2I6YvfuCE+YCmy9kYTLoV9UpbmOaaKWt1Knt1H5YGCh\niMby886IprxQzJWLny+CwZy31Lz3lxElU0ZWzka58fryTFqbOpCEm0ajwQc+8AGCwBrNWpbPb59y\nOE859mA+8507uGdHg4cmI+7b2eS8D36vvc1w1ecPn/M4nvr4Q+blHlssFovFciDgOsbQdSnEqSZO\nE3ZOJYShw70PzTJaC/ADl7HWk/16M2fnVMzEaMhQxSdJJQeNVwbewJeLgvKmOEry9oIryRRoRSXI\nSKURI2SrGk+amxveseGAkVrAwePVtlloPcqI0oIkk0ipjM9H4Blj3LrkB1vv45btkzTrBY6jGR8N\n2XLoGI/dPMbIkE+amYVOIRVCmFLL9SIznheZJMly0lwRCJd7d86yYyqmmWQ42viaoM3CLJWKTWMV\n3NaT/dk4Q6SC6XrK1GxMkiqklhSFJkpzikIz3UwZq/gMVV2STDPdyFFKkUtNkuam3LqWuK5nFp6u\nIAz99mItjs1iQAqTSpUWCrRJU4qzHBzHLGy1JqsUVIvAlJJ2XSSaVGqybE40KH+Xg8Yr7JqJCcIy\nMkAz28zIi4IdkwmNJMNzHNJMUSjFTDNDAI6DWfgKQXlLlWRGrAiDlt9JKjnssNaC14GZekaUmCiP\noFV2O05zmsr4oeSF8VrShWY6TvBTh0SaKCOlNI1m1kpbMotwzxHEuUmvmprxGBsO8FwIQ49CKpTS\nFEozVU9Ic4XnuwRS0YghzgsTgSPBjUyaz8RYBVkoZmVmFtTapCcpqYhTSZ5JolQyOmz2LXPjKyRa\nwp7nCQQOaWEEjEkN9SQ3/jmu0xYxwUR8iVYUwGRqImrufbhBMzPtKaWpN1Li3ETgjCuN5ziEjolM\naZIRZQ61wDO+O4UCz6SG7ZxJAOO30oxzqqHHhpGQasVve84YjyoXqVSr0pbg4amIKCtAmTJNzZaI\nuWG40qpS5tBM8pYHkUmpdFqePKbEtsJzHfJMk3omsigvFKnSzDQy4rQg8AUjtaAtoKqW2TmYtDXt\nmPkZxQWpK2lE5pqQZZIkk3ie216Kg4lw8aRkppm1dBHdTtOaaqRUqmF732C8uaKkIPBdHCGYbaZE\niSSsGK8izxPtKnr9zKRN2mfRjqxSLYGpjEQyvl8eUppInFKUmIqLduRHI8oplBFvZpsZ1dCjaE2N\nKDUpc44QjA25pJk5NqXnvMUKpZltZMR5wUwjpcg1o6MdaVlKIFyHTX51UX5inVFgSSqp+IKoFEIL\nyUwjIZOKjSMVPE9Qj3OkMsLJoEifXvpFTJooOSOSTjVSI8gWkrAVwVg+HKi0BJHSrLmkTJOsBGb7\n0u/K91ziRCKVaomic1E2nWIamLTGRmz8hDrTf4cqew4k6Y1kK/1yqqHXNhDPc3ngVJXSWvOud72L\nCy64gNe//vWr0YTlEcToUMD5LzoBMOGaf/nJnzDdmEvwb8Q5H//abXz8a7e13/v7C3+zq3qAxWKx\nWCz7M2MjPlHUx9xmEUggSjVRmnD/7mTBbUMPDp6octxjN3DYxhEmRgM2jlbZ2PKGKBcFrhDsnIrY\nvqPOg7ubPDjVZHJ3TNz/AfZeZbIZcfeDEfDgXtyrZOdsxq8emGFiJKQSejgORGlOHGcUhYPjaBzh\nEngaiaLRMJFQ/Z59O5iCO66LKaPsZGQp5B2fVzyoVFw8z8P3HXzXJS0kWmniJCPJ5vbsCeNB0oiK\nlq9PxvhwxSzOMVE3SZohlRE/GlFOPTLRMg+LiDjL2TWZMBWlJGlGUWA8dHJAgJJmXe+5Zg4IYVJL\nXNel4gsalZw0zRmqJYzWAkTgUZ+N8VyTltVIC3ZOxchCohzHLJYcB91K23JxcFprnJGhgNB12DkT\ncd/uBs1mjsT4kYSeYKqeIpVJk9ow7DITJWYh57mEoUfgCRCw7aE6QphopmZckOUFuVLkLTEulybq\n6aAoBQdyae4Z88JU+pKF8WiJE+MttDGrMFr1EY7DjumItCVkOAokxoNGK0A47JqN2TBkUuWEcIzw\nV0ge3NU0Zb2d1tN9qdn+cIN6MzORAY6DVBKtBXGeMTmTMFL12Dhew3MFCWaRGmWmUtz9u3McjHdT\nlikqgSCTinqUo5Xivl0u47UA3xc4OGwar7SjZkypdMnumRjRElGV1qaSl+Nwf9JgNkpJU0kiJfWm\nMf41fjs+s3FmhCgctIA0LZhuCppRShgIKr5HM8lRWlOkxr+oLBue5apVpc6nGhjBI8mMcXCaS+Is\nJ8uMIJlLhSOgmWp8IfB90RZ+yrSqMkoFTATV5ExMnGQEniDNCtCQJJLdsykTwwETwyHCyXBbHj2d\nKW2FNOlZUWJS7ZSCKM5IpYnkCH1BGLqmf5h0qFIwrAUe4BDF5lybbmREqRF7mnFG1XdJpSZKCgrV\nSkV1PYLARC4FrhHV4qxgbCjA8wSNOKcZZ9yzI2OmmRG6Hnkh8T2HfFoSRzm+7zIxEqIUbBqtLpi+\nU0aINOK5dCLPdWi2qs5pYGomYaqRAmaeVgPPiIrNjFrNZ8NwZZ6HWa+YX6aZdUactX4ikrRgejYh\n1yZqTipNkhZmjrceDpRRLFMN8zeprApXzt9RHQBOO2WtBm1hulOoMQbg88fCcaAZ5+StCETRIXsM\nEpz6mRqXfjmmXSOE+RWfJM7Y5Pf3RVstVizcfOELX+Caa67peu+www7jBS94Accee+xKd2+xdDE2\nFPDXr/8NwBgwXvfdO2kmBbf+arJru9f+9fcA+ODrns7GsUrvbiwWi8ViWTRKKS655BJuv/12giDg\nve99L495zGP2aR9GKgFZn9DvvU1awL07Y+7def+qt7UeSQt4aCoF0p5Pypv5xSlTGsiV+W/Q51EB\nUUMuap8p2hgYIdldL+WfmUX1ZY+UfdRQKDCBXWWfJLNImMnZtqM5950f37t32l5H3Hl/fQ1aLcXY\nvfNbukDgQirnftZV4cf3zXvLE+A789t2Wv3SLPbsmY/rgC+MsKgB4Tl4wkEgWqXtQfgg8BBC4zjg\nCActTTpNELi4mKpjaVEgc0BoHEdTFJo0UzgOBIGPL4zBdJRo0tapJjxwFbieMf/WDq30R43EbaUc\naYQwkUN5XpAVygh9jhERlIRK6FOteQTCMV5PQJRlRHFOnhshVWkzTqX467uAAKHBdQVhKBDCRaPw\nPSNkeo7xNwoCF6WNUFJkCi0ctFRkLbFIKxPRJ9GkiUKj8YQg8I39RF6Y46sNBdQCE2HiuS6e7xjR\np2XmHTUzppopBZI8L0C5CEfhuh5+IPC0w0ySgSNwMSKeI4y/lQP4rgDtoFuVtapV09amkRANPLA7\nYiYyophQUKt5bBytEXiCOFM0GinKMX+bK55p0xUCR2gcBI1mZgyqtUYWOY4j8IRgrFZhw3iIK4wA\nmraiPItcodAUmSTXCo2ZX0OhT7XqMVrzmRitMDIUMFTx8cOEqJkxWt075dsXi6O17vegYEU85znP\nYfPmzQBs3bqVE088kU9/+tMLfqcoTJicxbIc8pZhYD3KOf8D/9qV7/gHz/41XvbcY9olLC0Wi8Vi\nWQrf/va3ufHGG7nsssvYunUrf/9/2Xv3YNmyu77vs1771d3ncR8zo/do0MgSMkIWsgAbKSDAICm2\nQhIFjEPKLhv9QRVJEYoYJbFTwVUosZ2qFEXZiApUSBlCRXaVBXYJyjaSQEI8hRASBiQxYjQaZubO\nvfecPv3Yj/XIH2vvfbr79Dn33PdotL9VU3NPn+6911577T77993f3/f73vfyz//5Pz/1/Veu3PkC\n8Nnpkv/1pz7GfJNPGDBgwIABAwbcc/y1r3kB3/Wtr77j2718ebL19btC3KziLW95Cx/4wAduaE58\nN25yVnH58uSu7+P5jC+l+Qsh8Lt/fIV/9q8/tfb6t73xJXznWx69L2P6Upq/5yKG+bs9DPN3exjm\n7/Zwt+fvtBucO4n3vOc9vPa1r+Xtb387AG9605v4tV/7tVPffzeO9wvPzPhHP/1bnN+eeMCAAQMG\nDBhwN/GOv/Ji3vHmV97RbZ52XzPEgQ943kEIwRte9QA//cNv4ZOfe5b/830xTvyXf+sL/PJvRWnv\nVz1yke/+1kd5cL+4n0MdMGDAgAFfApjNZozH4/5npRTWWrS+l7dRYSBtBgwYMGDAgOcQPvm567zj\nzfdmX3f9juNXfuVX7vYuBgw4Fa/9ikv81N//Jn7xo5/nX3/ksf71P/jTq7z7vVf7ny/upPzP/80b\n2B0PsfUDBgwYMGAd4/GY+fzY38N7fyZps79f3PH276AVaetdMWDAgAEDBgy4/1g27p4of2FQ3Az4\nMoAQgr/xDS/nP/lLLyI1khDg3/32F9aInKvTih/48Y/2P7/x1Q+QJZpHXrjD615xiXFhhqjxAQMG\nDPgyxetf/3o++MEP8ra3vY1PfOITvPKVZ8uir19f3PExNI1jnCuq2cDcDBgwYMCAAc8F5Ebd8fbo\noVVqwJc9dkdJ/++/8Q0v59u/9qU8dW3BH/zpVf7db3+B6aLpf/9b//EZAH7195/sX/vub3mUb3nD\nS+7dgAcMGDBgwHMC3/qt38pHP/pRvuu7vosQAj/6oz96z8eQGMVXveIyH/rEU/d83wMGDBgwYMCA\nk3jtV+zfs30NxM2AL1skRvHSBye89MEJb//6h5nOa46WDYezil//1FP8+qfWb45/7t9/hp/7959Z\ne+3bv/alvPMbvwIxqHEGDBgw4HkLKSU/8iM/cr+HwStfsscXn5nzxNNHLAfhzYABAwYMGHDfcDeM\nic/CQNwMGNBiZ5SwM0p40aURX/nwBf7ef/qVQEyp+tF/8bt87ovTE5/5pd98nF/6zcd59MW7/PDf\nev1A4AwYMGDAgLuGRGu+6hUXeNFDEz73xAHzsqZpLC4AHpyH4MGF+F8HBUgJ3kMg/tf9tRIClIRU\nCVCgEAQBVe2pLfibHKNot3+nIYFEx7EKCUYqaudQUpEmkiRRNNbT1BYfQEkZfYaEBy8xiSA1mouj\nlNE4xTvHhd2cItGkqaKsLHXj0Vrw+NNHTGcNhEBRGEapQWuBFIJRrlFKkRjJONVcPao4mNdMZxXW\neUIArQTjLGFnnHJ5N+WlD+2SaDiY11w7rDlaVhglEUDjPE0T0EbgQ2BZOgSwv5Myzg3PXF9wOK+x\nLlDVDk/g4k7GAxcKdouoJK4aj3eBIMA6hxSCzCiKzJCmit0i5dmDJUJAZR2zRUNtHYfzGhkkLjhq\nGxfHZGRIEkWqFfOlZTIyAIzzhL3CUOQJs2XDy168x9Wr0fepsY6nry9wPmC0xPtAWTvGmSHPNLuj\nY/9ApQQ77bjrxjEvjy23G+uoGk9qJFmqyYyibBzOnVxRp23ncF7RWE9ZW7SULGtL4zzeB8a5IU80\neapZVJZr0xIfArWN+xCAlAJHwNvA9aOKNFE8sJ9zaSenso750nJwVKK1pK49SkJeGC5Ncqx3ZEZT\nWYf3AecDTROvoCxVlLWDAImR7O8XHB1VpFrywIWiPxaA60fVqdfB/iQ9MW8dRpkmMWrr3G6+p25c\nP7dKxfXSfXYVZ71vuqhxLnA4Px7vvGza/cR10517pQQSmC4ark6XEARaQZ4Z5mVDVTsa58mMQmtJ\nqhVpohjnyYnzDZDkCU8/c9ye0q0dCOyOU5rGIaU8cTyb2+mOYbZscN632/I458lSjbWBg1lJ4zxa\nKsa5Im+PLdGKF14anWu+Zoua67OK6aIGINXxOItUY7Tqx9WN57RxTxc1ZWWpGs90UQGCVMutc3XW\ntr7iZRfP3d4zW9RM2++MRCt2CsN4ZQ5X19rqPHbH1u1z9Xo+bc2dZ213OO34pvOasOWvUJpIrI3X\npZKC1CiMVv3aGefmxDgBnliZJykFo8ywv19w/fqChx/aOdcc3ikMxM2AATeAEIL/6XveQNU4jJL8\n+bUF7/+1P+V3/vhK/57PPHHI3/3fP8hffPkFvuPNj/DyF9zbC3nAgAEDBjz/4QlkqeGl4xwZAgez\nmmuzEhECAsH1oxLrQCnQKt4EVxZCACnAGIEUkdToitQs0f3/hYjkzrKuIVi09gQXKBvYJvBRArJE\nohWUlcf6SNwoFf/vQiRctGpJpZbUQIn4e+fxPu6zOYMhkkCeClIj0MowKTQ7owylItkhQqBsHIul\nJdspSLViUdWEEEmkItMUmWGvMCAEly6OOZouedGlEVIItJZc9wElBEjB/iRFK4kgFkAPXSrIE40P\ngVFmGOWGItWkRvHks3Oevr7kGSOpK4+Qgr1JQpEmTApNkij2xwnjImF/4njBRUdZWawLlLVluqhp\nGo8nml5PCggELo4zyjoWMNYFvPMIAYVRZFozSo5v4fd3UvZHCfPS9kWJFAIfIDUSpQRCgNaS6aJm\nXjYsKouzniZ48kwRiISCVpJEykhC+Uh4ZEbhvedgUWOMIs/WC6iq8TgfCD7gfWjH7Jkua5I0vrcr\njrqibrVo64qkLNXsjdeLuW1FHLBWsK1uR0mJSgRFqqmaSOBIIUkz0RfyRkt2dYL3cOVwwbJ0TArD\nODckLWEgpWBRWhIt0Tp+bllbjBI8eKGgyAx1S9BIKXjx5RHXZzXO+/798bg9zgUSE4vG2bLGo2hs\nwHtPZQPWur4IVUrgvd9KOrjgmS5qDmc1EPrCs0PZuLW52IbuPckpRM0mznpfdw6UlP157c5/fP34\nYWZZWYxW5Klmb5xxbbpkunSUtaN2gUSJnliTUtDYeKxxPUv2x8navq1b/8Iw+ngudorkVAIg2ziW\n7hhSI1lUvt2WjP8pibWWIjMcziusdxzM47zmmWGnMGvb2tync4G5iz97Ivnp/DqhUDUOo1U/jsyo\n/jPbxu1c6I81jjm+d3W7q+/dhtNePw3jIlkjajaxuuZSI6mak2tTwqlzs7q+Nr8TthE8HTl2NK85\nWjRoJUgT1e/TeY+U6w/SG+uZl5Y8USxr119jiRTUvnucEcftXMAo0f/NM0rRuPhTunJMyR0OIDgP\nBuJmwIBzIm2/NF50acT3fcdXAfDks3P+w8ef4IMf/yIAn3rsGp967BoAb/26l/Kfv/kR1JY/vgMG\nDBgwYMDNwijJsmyo5g1lExUSmVGEALlJyFLN0bLBaNkWL54r1xcsGotColTASEUQ8QZ5L0to8FTW\nIUQseKQSXD1sC/Eg8c7jvMNHsQBGglBRxSOkoEgUKEEIDdIFhBAoIZBK4Jwn1Zoij6RHWTWkiT4m\neISgdo7GBqrK0vIUJ1Q+WSrIU0NRaMZJQpFpLu2mlE2AEIviw0WNEJKkLbq0SaOKxnokcUwBgRSS\nvVHCbhaVF0fLGutAIJiMEhaVRSDZHcX5c6FVj+RRVbE/TvHEwmO6aBjlhpckigu7KbNFgw+xkL84\nydBaoqToj6crgleVIk9cmTFdNFS1RUpJYSS7o5TEKOZXaoKX7I9ThIxqKus8WapahVFASchUVBft\njxUe2ify7riQcQHrAo21NPa4wBZSoH1UQoh24pUUCClQHsZFSmaOiQvvA1Xj2E9TvI8qBQg01lMk\nUWnSQQoR9xEiadMVmEqKrUVbSSzUyrZc6l5XSvTHs/qkPEu3lzCxcHRR+RNgfycD6Ikc5z2zZYPR\nCiljMS2VYJIZpIxrZ5wbjFYU7T66fRsV1USjzKDbddYdkwfyTDFbbBIKknEhUSJb9GnZAAAgAElE\nQVSqf8YYautZVg3eByZ5JNzGedyWc1ER4LxbK3ybdm6dCD1JsqgsBfTvWy3I71TRfhaUiudylfRY\nLZjTlWLbuoBpT5kU9OuhJn6PlY0nawkzo2Rf5MfzLWlcoF4hprTafm+tVNz/eQiA1WMwWlFAv0aS\nVomhtYzfe1r217dRipc8MDlBZpxFlm0jueCYcDnvuLvxAmtjhrPfu22O7iRWv9u2qY5uRCRu29Y2\ndORYY6NCSymx8r0jWpWPPEGQ1dbRWE+iJb6d/7q2XFnU7BYJkyKSat01pZRmlGnKJpK6B3Pfq6Q6\nbBJ39wIDcTNgwG3ghZdGfM9f+wv8rW95Jb/8W4/zvg99rv/dB37jcR57csp//52vu48jHDBgwIAB\nzwfUTZSpEwRFqpgpQe09zkbiwgvH/iQjSw0QGOWaqvY0NmU3JDgXxeOeEFt+UsNknKCFoPEegcDa\nqCyVUrI7yrDWUzqLaTzIgBAwzgwBsDaqS0wiQQi0SrCNIwQBQpCmiuADWsbWK4IgSw3jIiVVirKx\n1I1DyECiBUYKQFA1NY2NCp/gwKhYdGsl2RulvPzBCYnR7O2kzEvLrKxxTSD4GEKQJQofoGosTSNI\nlCTLNJJYJOwVEqkESigEsX3G+8DhwrGYxjFJCUqptv05FjkHRzV7o6wvOKvGczArkVIyShR5YpjO\n6/gUVwkCsW0k1YrDWX1qK0okVyxKRqWBJKqItBL4ICgyiUdGQkhEpVKeGy7v5ifIGUdsKQDWin6A\nSWF48uqcREtqLZEyEit5Jls1gCE1CqVlTNGUsS2nO46qji1YC21JjWKnLairxrOsLdbGYrdTDqWJ\nBhFJrGpFTrVazHfF3FlP4q11XDlc9sqWVCucDz2p0l0b3Ta6464aT1XbtSfxAIdzS1lbJoWgtg4l\nYZRo8kT3RVmngths1xoXhoNptVa8dcfkXGAnT/Au9MW/kjIqnmRU+8Sn9QKtPfuTjLKsUWq9kO+O\nwQXfF95RhXOsGFot/ruxwnpBfjeL9q4wXyUIO2Is0QolxVqbDLRKuxY+xGu6bDzee/JUR7UWLQkW\n4jre3MZqkX8acbeqqNkkAOpmXdmUGbWmcFlV7YwyzZNX533bXWoU6e5JZcgqziLLtpFccKxKOmvc\nm8e3qsjpxrytlehG6p1bwXla7LaN/zzKufOg+87ovlM6dZSSUbHliWvraNmsfc63pG8kWzW1je2h\n3geEEmvXdHdNJcUxGbU7StbaxR64MKKan97SeLcwEDcDBtwBSCl469e9jLd+3cv4/FNTPvjxL/Jr\nn/xz/ujxA971Tz7EK16yx9//m68b1DcDBgwYMOCWUDaOcfdkUAqUkq2KRiCkpKodqXZMck1AYLQg\nM5pEK7QUTBcNi6rBOs+FScbLHhqjZXySHUJASMlsWWGEYlFZrA/xaXMFdeqQNiAJKCMRbduTMQqt\noj+D87GwV1IxTjVCRYUQCGZlTQiCLFUUiSIxhrCIsvQ8LShry8GsinJ0lZD46DfirMckikmekKeK\ny7uxRUUIQaIlyTgh1RKpjlu/AgFrPcsK0kTH4lnHOSoSTV4YMqNxdcOsdGRJW2CE6P9ytKzJEg3O\n01iPMYpRbqInjRQczmsEse0okh+eeR24vJsDBcva0VhHbd3KE9rQFy7JBnFhtCRPdPRisR4BJGks\nxmrnKBuPlJ2SQaCVIDeabKOoXd3mtmKoyAzjdu4gqp2s9XghEEQVQW0dyge0UljvgNafRAqKLJIb\n1vneH+bKYRnbfRrP4aKiSGKx3StSlESIjiARJ9onVhU2XStVWduogEii6mk6q5EIFrXDOodWiss7\n6Zoqa/NpflfMKinIVwr87jWjjseQJ5pAPPdd8dY9re+K0tVzJkJUi2z6ZCglooptnJ4obLtznyYa\nrePIx4WhqZqW4DlJpighI2nUKpEWle33tVr8b2uR6f59p4t2OJ0kS41kd5zwoMmBk4qRsjkmkpz3\nFJlBSouUcb001sdrxiiqxp0gbWC9yE+N6hURq/sBTpAznafPJkF4UFVRAeajIk0r0ZN1iVEkWvWe\nPaswSm1VinTkzGpboJKSPFOMTMLc2RPKnni9nCRdTsN5lUQ3+97z4KxWsBtt804RiatraO319jpw\nLvTqmVWV3igzfRtfR/Z0ZLDa8Cd1PpwY12a72E6RcGUgbgYM+NLHww/t8HfetsN3f+sr+al/84f8\nzh9f4bNfOOB7//GH+ve86NKI/+G7/xKTM3pGBwwYMGDAgA7d09pRYQhSMCkMzgeuHzq0Emih8cET\ngEuTlDSNigERBI13XJuWEAqKTLG/kxECLCtHlsaC04foueFDVOvMlw1BCCoRiySJQ2uFUQonA5kS\njNIEISHVEo/GKEWWxafv84Wl8Y75wuI87BaGi3sZAsGyslwYpy3pAwdz2PGeeSnQwlNW8ZiykSY1\nmjxV7IwSxoVBaRmVIUpRGMkkT/ABtBAcLWpCCDQ+oBKJEQJPS1D4aACcKMVDl0d88c+naLmuBFmU\nDYvSooTAaI2RiiLRJEqSpwbnY3EJkbhJtKKsbd9CNM5NS+aorS0jm8VeWVkWle0NLztly2xeHxMr\nLuAdSB3PTyMEWaZ7z5Bt6+S4vWhd+bE7Tnsio7GO2dJy5XDBfGHRKrA7alu4rMc2nmtHJak5Novt\niI3Geq5cW+C9x1pPYx2S+FS7bOI6yZNojrxaXJ8Ya/DMZjb6nFiHRGA7g9ilQwQ4mFUIopdSdMqA\neW0x87o/3tmyXiOFusL5aFEznddrHhjeR4Ua0Bdsxy1Psm+TOa2YnhTJVv+ZjjTYpjbojn+72iIq\nl7bNzbpKQay1Rp3VItONY3Xf5ynaz6OmOJUk2zQP3rKfrshXUrYVqD5WnCSa/Z2USzv5maa6q9im\nqDmNWNgcd9e+F5UaSd/GtXrMO4WJRsobmOR66/gyozioql6VB5Fg8C6e3+5aAIVUAhEUUsp+bDdD\n3tzKe7vzOy8tSZ6stZ7dCHXjePaw3ErCbiOxNtERiZuk1qZ30Y3Qq9A2Ws66dXQagSqh96DqIKVg\nnBn8hpGxkuK2Cc67hYG4GTDgLiE1iu/7jq/iqWsL/sef/I21333x2Tn/3Y99ZO21F10e8Te/+VG+\n8uEL93KYAwYMGDDgSwCxaFFc3s25chSTc0apIbskWNZtlJQUFKlhVBgSo1rD1Xhj/MB+QWMDhZEs\nG8fhrMFZh0Qjk9i+kKWKRWkZZfEzton+JalRSCXBBWzwVLWLRrKTjNAqdpJEsZMbikwzLxtqJdkZ\nG3aKSAIEJSiMJk10VGYUmjRRXDss2ZcpRaaR0xLvQJsaJSWjtkUqegYLlIr+F9FENrb4dJ42k8Kw\nqCy1dTxzbRG9KKQkSxXWeoKI6oqHLo0YZ4ZFafEhtns555mXTUxZkhIXAjI4GheQVnC4qBmlmsNZ\nxfVpTSfYSLUiSzTORU+gLI2Kk+uzas0kuGp8WyTKtcLQuqgO6lKIrk1LqsaRqKgCqa3lcFESEBRt\nK49UgkzJlVaBk0/9JcceIo31zG1DXcfEo0XZ9G1SgTivi7LmcB7QAkBijCBJVP8Uu0v4SY2ikjHN\nJsj4u7r1zCky0xZzklGmEVKukR+b6o9mxZdiUTaxoFw2fdtNkiiWdWzFqSpPmkaFU9J6mxyJhiIz\nx9toSQ3aY2+sJxBQSvYeGI2NJs9ax/LHB7h6VPbEXGokRpszFRC3Qoh0Res64UJvcN1sIQHEavQb\nx+a5XRvHWS0yq2M9L1HjQiQJV/1ytqkpNgmLs0ynN8cC6wa2xShZW79dm9+tqoVO81GZLmuWrXF3\np7pY1pYukWmcr2+jG+u4SLi0k3M4r2mcwyjFJNcUebJVKZKYqOjqVDyrBEfZuJ7Ymtqa2aLpfw/q\nTOXKjVKdzoNNUss6v1UFeNZnO9J61Qtm1Vj5LHSqp9ly1avqpHfRjdCtjU0StCPHzyJQgbXv5r1R\nSuN89K4KrJFJt6pKutsYiJsBA+4yHrpQ8Iv/xzt4/InrOB/47BcPed8HP8ufX12sve+LV+b805//\nBAD/7X/5Wl73ikv3Y7gDBgwYMOA5iO6GdXecko8Srl5bUDvHKCtifdeqB/LEcHkvIxAVHV2BkmlN\nqlufm8riQnzibKzHE9tgJrlpDWrpY3mXZRNbj2pHCAEf4GhZM84TLo1TSmuxDi5OMrJMo2V8spkk\nEiUVQkVTY+8DUgle/OCIa9MK6z1GxuSmzsg2MwadgpbRtFib6LlipEArRdK2J3VeFUpEQ+FINMW2\ng0QrpmlNkii8C31LEyHGqWdt+4PRguAlwQem85plFWPE80yh2nh1IUSs7ltezPuAx+Md1HUkW/JE\nc2EnI0t1X5h15sWrprwRsWWqbhweOJxVMXmpJSPmZYN1AZlE9dB8aZFC9IbCWRvtbYxGCrg2rchS\ntVYgdp4sRaqZLZvYetQWq16E3rPGWt+3CSxrhw+Bae1ItUQ0ggs6RcpoTCyU6AlA2nOZJYrSxs8B\nJCrOZadiWW3h2UZ2dJ4tjfX9HPkQlUsx5UxF5Y/z2OBIaWPGfSweVxXLq6RG067V2aIma2PNR5np\n1S3RVrtNe/KeRMnYFqgiwVak529bWcVZapU+PntZM1ta6sYymqT97xJzkgja9ATZJH3udNvLsnSx\ndQfWlEvPHlryVPf7W20Hmi0t8zKSnVmqbtg6cyMD29WY8sa6re1LZ2EbgbAoGw7mMYWrsT76bmmJ\ntTH9q7LxWLpY6NnSr43p4m621U/nNBJJSrl2rayOrZvzZbmdANmmXJktap6dlv3PtXU8O42f30be\nnDavN2MOvO09cNJYuSMRz9vu1CVr3coYOhx/l8R93swaGRdJPxerSpzu+/p2r6l7gYG4GTDgHqGT\nJ7/uFZd43Ssu8czBkg9+/An+8qse5E++cMCnHrvKH37+OgA/9i8/ybv/69fz6Iv37ueQBwwYMGDA\ncwSrxe/FUcaLLo+wLhYfs9aIMTMKZWIKSllbEDBqVQllZZnkpjdtNFqxN4lPHKWUNMGzaxJ2LqdY\nF1hUNVXjMTo+Pd5tW6t8CCRJLNKFFGTaQBpNj5WENNXsjWJRigxUtUA537ZxRXWQEmAFHC2bXh2x\nKC2JUrH1KtUkXsfYaRFl8V17i/eB67OK4CE1raGvBBBIBUbIVsXgkSryLl0Cze7IxJ+l5PJuzqKy\nXDlcMq8s3sEkM9jgCSGan+6Mo9lsnmtmZUOWKCZ5TAWqnSdJNEKJnjDp0JFsXZHd+3doRWMrgghM\nMsN00XB1uqSqPcILgvQkWlPWrusKagtBzXhkYnGSqtgO1iaqdMVU1Xi0EpRNbIvrWgcmRcK8jAlG\ndR0LsEUVI7KNAhcCo0z3T9S1iGbLTQ3pftsOVjkY06+bUWYYTRLKskYriW73VTvPpE/7Wff12XwC\nfv0o+kOsGtXK1gw6M9HkWApBomPbWYw3jwbNUknS5HhbHakRiYSoKOpIvmVtydHQeg3J1jj3WhX3\nnySaiZZc3I2yizNS6eMxbmnHuTJf9oRTR6J1JMLqMXsXkDKuLSUF15cNzgf2xulamxFs9yrqDJNX\niY95aW+p4Nws5DfNjldJxzzVPSljlKBsf7es43eJ957gJIuywQeYLWt2x+mZY9qmiFhNDOpUPM5L\nivR8bUSbPiqNdRy0PiSJVn0qVAaRrCOqyarm+LrorpvueEeZ3uqlc9p4zvJy6eZ8059lMxJ8FdPF\nSY+d7vVN4ma2qNcUJavr8EYpY2cRj9si0+NxHHtBnQd3KulsM53vNJx2TM9lYuZGGIibAQPuEx7Y\ny/nOtzwKwCMv3OHbv/alPHu45Mf+5R/wxJUZ//jnfo/v/etfyRtf/eB9HumAAQMGDHguoLvpvHxp\nTDmveOZgybK2aBVjsDuSpmsNWfVZaZzHE4vGqonx387HQniSa4QQaCPJM01jPVIlXNSKynrK0oII\nPH2wYFk6Ei0JAYQS7I5NX1jvjJJWpWP7loEqddGnxEsSpbAuqk120oSnFgtq5zma1yRGorTgcFpy\nuGjY30nIUW3RGEmJuvFI6ViWDqUERQYSEVuzakdZe4pM0VhP46LRb2y70aRa8sCFIppXjhLqMsam\nHxxFZYYUgjxRPbElRZtgJAOZUa0XjWZ/krVtTI5RFs2PN9tVun/PlvUaaaO15HBWMSsbrinJMwdz\n5kuLaP1sUq2ofBPbj0SKUhKjBVq3T5eb0BsEA1FRYiRVE4m6+bLhwk6KkpKytlxr24BqF42lPaC9\nhADWO6yL6WCTUYzEti6SD1pLlIJxavpI89WEowf2cnb2CoT1veqirD07eXx/Yz1eCg7nFcvKcmk3\nW1NTOBc4XFR4F5iXDQFIlCAZp9QtGel9aJUeMnro9MlMsfUp3Si+jFZkScDorC+Mu7aYyrqW6BFA\naAkQRdaqb1bNgW9URG7zSunIgVFm1lQUZSPWCNeq8f16kLOqJ9SyLSqfbe1CjXV4L3jm+uJEoth5\nTWJPO86OAOyK8V7Zs2Gc3CU/qbbdrkv6CsDBvOq/g84zps3CumnNZDc9Yq7PqnMV3JtzVjW+V8V1\n8e2Ni6Rrao6TxKKRbfRr6tZtR3yUTfTuudlWnq2vl8ceP2dFgq/Nkd2ulNl8vW5c6+HSmfeur8Oz\nCKUbmQ6fFZl+M8bK28bQKau6398pxcutGCmfx+PpfmMgbgYMeA7h0m7Oj/zdN/Jrv/8k/88v/zE/\n8f5P8+FPPMnbvv5lvGbwvhkwYMCAAS0So9gZJ5hSkSfxdm6cm7V4Ziljy01H4ESPh5i60j1lliIm\nJSVJbLnp4m/hmABaNpZURyNgLS2H80DwgVwrHrpQkCaR7LHekyeaS7s5je1aHjwE0FJRZJHUaawj\nCCgyTQiQSMF0aZkt6hjnmhuMUszKhtRIijSJSVJGtm1VnsRogoRnD5c4D8uqJnhBCAlCxJtwHwI+\nBHakYFlFj4jGeioPrqop8oQiV/iQYNOo+LAuqn8qF6gqx94oYdT6t6y2TGSJYtx6XZzWFrI7TmFW\n9+a3i9JydVpGQ2MHy8oTQoAgYkFpfUy58pFgUCLGre+PUmxbJK/G1koh+iK3bn1yFpWF0CquQlTB\nEOCobGIrHJAmiqp2EDvIMCqSfhKobaDINEVL2kCMWd98um2Mim1dEnaKlERZ0jSa/3YJX924uvaw\nzsulsY6mTZDqYnq749tJEqwLBBmwLs7H7ihZ86AYFdsTtbSKqVuLyvfG0RAJnE2ix/sQW8S8b1ON\nTrZ9bCvkNgvPjhzYxGpMN7QJWrXtx9SNYV42jCuzNr/b2oVkOy4pJYfzsh17JErGuTm11eY0bBbR\nnZqiV5y0xMLmvDkXVtqBRP++joSCdbLntDFtK6yPlk1PBq3tszW9vtGxbbbkQYjrut1emiiMj2t6\nb5y2CVbR4Ll262T3KoG0Ggl/o4L+LA+ks02q15Urx5HrjtJaRKAlLyNRduzvxPH+/Em9WLcOR5k+\nlVC6URvVWZHpN0NsbJJanaqraL9X7yS5crOtYbeTmHUvMRA3AwY8B/Gmr34hL3/hDv/Xv/lD/uOf\nXec//tn13uzsoQsFf/utr+LyXs5+2yM9YMCAAQO+fFB1LRJCMs4lEAvPzvCxC8noihDvA7o13RWs\nP203rXmrCCCFbI1iPd7HFqq8VUpM51U0Cg6xdSKaeqYxJrX1LeiSZWaLmqeuLTm6OmM+dxSZ4cJu\n/Hv19PUlVe0IXrI3iQoFKRPKxpEnKWVj8T4m/USliSBNJXXj2R2nFKlGt4U+LlC16pNZaRknCVVL\nzuSpZllZDmd1NCpWsk8VmpcNi1YlkSeGunYkbW9SbRTL2rEz0jx4IUfraJI72SiUNs0wtyEzims+\nqizmZcO1lrTBC2ZVFVuQApi2k8cFgRCCLJWtuiKmVyEESkZirkg1Vh97snRYLXjL2pInuiW0GvJU\n9746AOPMkLTtMJ3Hw9jEuHDrAp7ATm561cFmAmbdOGTjyFPdt4E771sy5Lj46dQ6EFs7uvfGFjwJ\nxHQsiC1LWaqYZNFk2rQGzPMyGrMaAai4Hi6MU4wSJ7wpusjpAqjaxLAuWrzzwIDoNROVCVGNIeWx\nufEoS/tj3FbIdddF/7r3J4iG+Pp6pPBpigcpRa842NxvLJK78+v7FqbViOplHVPJojHzzRXRB1W1\nFplslIzEIbG1SLdtgKvojmmTgFhdf6tkz2kKpm2FtZKSeXms2jl+ffvcbcOqMqdLV+sImI7Mkyue\nUB2p8exhSS1OjmlZOYy+uYL+tCSnVQPosyLBV9dAliiuz0qs8yghEK26cVKsl/DbkpbgeB1uEkpa\nHSsFN/2UVre5epy3q0bZ3I51YWvse0eubJI0tiWBt7WCbY7lZtuybscD6F5iIG4GDHiO4sWXx/wv\nf/sv88nPXeX//Q+f4ZnrMZLwqWsL/ref/TgAb//6l/Edb3pk603DgAEDBgx4fqKsTt5od2qBi0WC\nc4Frs3KtlUFrSdameIwyw3xpUYpeaSOkIITAUWueCgJtPIkS5InmaF5HhYWI20HG1prZoqGxgWXd\noKXkGRmN96UUPLhftG09grK2HC0bZmVNVXvKJhok28b3BsJZGo9BEL1PEh3JJq0kWii0FCxKG2/4\nM8N0XkV1kQssywajJLrRIOONfGM9idK93wlEMkHLOL6jpeXSfta2G3mWdUPho9nxJDekrfFvkbat\nZErclBlmfFot+5hviMlW00VN3fj+gYwP4L3AGEGRaXbHCVUdlQBaSYpMk7bqpnHrbzIv7VpLSXee\nIbbFZalmb5ywU0Q1hgDqttUqTWILWtV46ia2anWtD0ZHE2iljgmFzbjisnFkK8fZ2Fj8d6ofiISC\nttGL5nBeMS9tTwR0xaXREqMTinYsznusiyRb9F6Kxfx0UVLVjos7GaPMUFmHqgR745SkWJ//Lr3J\naMW4VRhtFsV1HYmjnmiqwShFmsi1Y9yGsHG7pWT0Adq8C9uMFM5MJEI2N5u2BEmH0/a7qCzjPKFq\nfJ8KBivtYI3baqK7iWMlh+29sWRr3BzT2WJbUOd7tInumDrywntY1k3fKrdZiJ9mXLutgN4Wix5f\nP78B7uZYeyKv8aBByYQ8OY4w765hrQT1Fv5im4oFzlfQb5J/Skg8rifhTvsOWV0DSkmK1HD9qKQJ\nnkmeMs41tV1PY1JKnFDywPo6XCWUdscp9bLuP3uj+PU75Q1znu2sGjl3KFs/su5v2WktiatjP0+k\n/Oo+b+b1+4WBuBkw4DkMIQRf/YpLfHWbMPX09QX/3698lj97+ohr04p/+7E/499+7M94zcsv8Pk/\nn3J5L+dFl0e84xtezqXd/AZbHzBgwIAB50EIgTe/+c08/PDDALzuda/jB3/wB+/beDqPk010N5lZ\nqrms8rWn6d0T5qJVLVS1pbKeurbMGs9sUXF4VKN1fK/W0YAYItkxHiUtoRKigW2usT5wMKvZGQec\nDcyaivmy6cmOGI9tmC4qrk8bEAEjJGVwNDbgXCAQ25ny1mdmJzdUNpBpgRfgXVT4FKmGtl1gUhiE\nlCzaG/vUaESIxSsBilwjgbJyaONZHEKRqej3Yj1CNzFfSAku7eR93K6UsbjqIn83sU3leiPpfmfm\n2xfaIVA2NsaZB4DAztiwrCyCmKaUaEWRGDzxqXSX1DRdNGuFz7KNP1+NtoWoooJoiqykaFuSoAmO\nqiVZYkIWpFr2Ud9747R/0j0vLUZHUuZwVnPNeya5YdISg6s4VtC0aVrO4Ty44MhlLDWUoC+0VpUB\nSoqeaOmKrY5QiLMT1WIyjW1iXftW1c77Nm+h087HaqzxorQcLWu8j0/9dSKoat8Xw6cVbErINbPa\nPFM94dCRT9sihROj2J+kiIWI61LKvs1plXA5vVA8bmFabQNbbe25kUnsajHcEUDAGtnSzWm3DjZj\nqFfncrZ0batcwt5I9OtvFaeNaVthbbTiwk6KteHE99Z5DXBXsZpAZPTZSpFsRQ3WncNI6G4n0s5T\n0G8j4bp1fpax7uq2nfdoLbi4G6nSTv222T62SVLdTLT1rcav3y7OY+TcoWtJrKxbaxfdbEnscLPH\ndLNEz/3CQNwMGPAlhAf3C77/v3gtALNlw3v+xe/y51cXfPqxawDMnzri808d8dE/eIoHLxT8wH/1\n1TywNxA4AwYMGHA7ePzxx3nNa17DT/zET9zvoQDHKUmb6G4y4//V1jaHzChKI3E+khiHi7pVzThE\nEBgv8SGwn6RYokdKoiQ7eYJdefqcpbonIxKtuLYoe0+ZspWza9XGBHtD3fjYmqNjBGtlA9eOSsa5\nYX8n5cGLBdN5TKPxLqYkWe95YC/n8m7BtWnJ1WmJEBCCAKJiKBouSxASu4yeCR3hZJQgM5ojW3M4\nt0AgTTVaxlYk5wLXpss1+X1iJI1fjwjufDBOIwI6lG1rVmokUglEiMlZrovM1pJ5ZVEyKhucB+ui\ncXFMHBLsj6OfTVlbfAioTnXEul+MJxKKZeXQSkT/DhXJoEmRRANqYoE3W9SUjcPIaIJ8uKwIwIVJ\nuvb0WknBxd28L5o248yjQbPEn2jHWDVLjkbO0fPk+D2TIqFxvjfV7ZQBq201mVGUrHt1eB/X1KrK\nhPa4thVaZz3R747Lezha1H2UedkmQhXK9MXwWYXc5j468u5G5MCkSGKb1RguXhxx9eq8P+7V7W/b\nb551Rsqyrd50b3qtpCTPbqxkWC2Gt8U6w3rKUOPCWjtc445VHtuinTtPHqNPN5pdVfysGix3uDjJ\n+7HebFvO7aQIdcTHie/MUxTt5ynob1XFsboGlJT9ul9V12+2j90MSbWJO9UKdbM4j5Fzh64lcdNP\narMlscPNHtP9Iq9uFgNxM2DAlyjGueEf/b2v5fc/+yyJUXzo976IFDH68lN/eo2nry344Z/4GFmi\nKGvH17/mQf7O21596g3/gAEDBgzYjk9/+tM8/fTTfM/3fA9ZlvHud7+bR6SiqfYAACAASURBVB55\n5L6N57SWiO4m86yb0KRVVrjgefJqzaJsSIyM7Sneo2X0gkEIujphZ5JGEmLRUDYWiexVJJV1sUWm\nLYKjwW8stmvnKbTu44SnywpnA4lRGBOwLipQmsbx0IWccZYiZXzafsloLu6mXGgVMZ954oDZssF6\njwhQN56k9cDxrenypEhiYpILaKXIk+gPk6eapmmYLixjIG8cVWUZZ4LPPjFt21+iYiG2C0kqeRwR\nDFGVsOlvsVoIr5IcUYlw7C+kpCBLNLb1XbHWo9tI60xrtBYEBNY78kRz9WDJbGmx3nNxJ6OuYwvS\nSEYvo9nSIYXgYF5T1xbrIdWCxGgyI1GJjgk5AarGYls1RteSpton1pv6iMN5jTGqjxNv7Lp/S5dY\ns61dyHnfkzDex4dLcZ2E3jx3UTYcLWIEtiBGdncKBEksso7mNc9cW9I416dLBR/XzGbherNPw48L\n3dCv1+4cAYiwolq7iULuvOTAZhvWtmLytP3utCSJC57Z4ti0edUo9kZYLfRXVU9upRju5vRGnh/b\nyIfOk+c0/8VN/x44Tq/abBu6WdLgds1lTyv0gTNbxs7Crao4VtdAamRPWKQrpNK29rGz1uEmqbWz\ncX7vR0z2eYycO3QtiZtpWpstiZvbP+8x3S/y6mYxEDcDBnwJQwrBX3r0MsBa6tR0UfMLH3mM3/3j\nKxzOYw/rxz79NB/79NMA/OB3vo6vfHgf0cqvn3hmRpFpLuxkDBgwYMCXM973vvfxMz/zM2uv/cN/\n+A9517vexVvf+lZ+53d+hx/6oR/iX/2rf3XqNvb3C/QW+fadxMtesk9ZWazzrbJFr6kXqvap9mm/\nH89yvFDsHMUia1E21G0kbpEbHrxYxGjw2vPAxRGEwMFRNDNNE02eqBhbDRwtKqRWsV0j92hTxyf1\nmebCJCMQeIGUPHN1zuGiIhyW1E0gTWB3nLG3k7K7W7A7TpmMEsZFsjbWZz9/FScgzQxdSeiXNUjB\nA7s5RaoJIno85InmaFGjW98RrQSV9bgwY142THZyjJIkk5yDacmitFzaz6P/iPU0QqCURKcGk2gu\njzPSNPrkdNBKsjtOkYfL/rXpvEYkMZZ8Oq/ZyeMxKHmcCDQ9qthROTu7tm35SjFaMF80jFovmqN5\nxayyeCGxzjMaZ2glyNOoTDJaIeq4n8kkBdI47sazO0kJPjAqDFZAkSUsyprGBow+LvK6czUZJTH5\niqjmqWvP3l7B0noOZjXXpxWTImF/N2OURaVS2j4MqhtHPoqKnf39AusDdW25flShU8X+bsF4lDDK\nNKM8gRCQiWJvr2AyOlZqjNvWj9mipm4cVQjs7GYczSuM0UgBQkqKVLM7TvvjGOUJF3ayE6lHZyHJ\nExZlw8J6Ro2lbgJaitY8O8doweW9op+TG11DZ+E8n714Skv7WZ990Rm/v9E+kzzp2ywnzbHJsZay\nPyfdtbe6tjdxcTdf29YqumtjGw5nFdno5j5zFi5fnty1ba/iVtfBTuOYLeoTr29+v91on3t7BbMy\ntqBqKfvvo/Nsp9vWbFGv+VLNFjU7e8VNXT/3Eptz161Xo6PBfNcKdnEvP7Pt7G5idf3dK4gQwtl6\nrXuEK1eO7ur2L1+e3PV9PJ8xzN/t4X7Nn3We2TKaIr7/I4/xG3/49Jnvf/0rL/N33/7q+HTSOj7y\nB0/x2ScO+Zvf8mhv8nc/MKy/28Mwf7eHYf5uD3d7/u7FzdNyuUQpRZLEG8Q3velN/Oqv/mpPfm/i\nXt/T3MhnZdvv56XlyaszZosGH2L0ctW4NoLZcHkvY6dIGWUKrdUJM1MlJa79zMGswvqYmKK1hBAN\nd7WWXN7NSY2icZ5rhyVPXl3QWIt1oAUoI9nJDRf3ch7cL7Z6QPz2Hz3NswcLZsvYPiRFVGi4EPgL\nL93H+UDjfO9XElwgiK61R+BD4Pq0QiLZ3Um4eGHE4cGCp67NWZaOItdoJVBCYoxklBteeHGE88ep\nJ13LVFcwPLif93PaWMeTVxcsqwYpJY1z7LbjzxPNzihhtrRcOVwwzk00CDaqj7guK8eFnVhcXjlc\nMp3XWBeTqLSKZNQ4N30BWlZ2zU9kUcZ50W0q0KRI1pKHFqXt04Jkq6SpGsc4N32Cz7xsoupBK565\nvqBsHMtWQZSnmr1Rwk7ro6Ok4GUv3u9bfUZZTK164sqsNRUWOBtYNpZESfLUxCj31vtom3lt521z\nbbqkbCIxFDxMChOPK9NkRgPxnHQmujeD2aLm2WnJvIzEV6cq2Rsl5FlM0Xpwv7jtp+yd+mNzzeyP\nk56oOs/34nmjj1f3uYnT0oqAfnypkScUL9NFfapaZGfFIPus/W3i+lF16rHebErq5vxdP6ra4znp\n63U/E1hv5hyeZzuRzDm/QTpsP5cXL444OFjcN9LjPNicuy4B77mgiLlf9zWD4mbAgOcxtJLstTd6\n7/obr+Fvv/VVvPcXPs0TV2ZcOShPvP/jf3KFj//JlROvf+zTTwHw1//Kw3zVIxd56GJxX4mcAQMG\nDLiX+PEf/3H29vb43u/9Xv7oj/6IF7zgBaeSNvcaN2oROCvWuIvCLhvXt9FqJdmbJDy0X2wtjrvC\nqGkThIyW7I0zDuYllkCmFZNR9PLIk5ic0t10N41nv7Y0jaZxjllp8S5QWx/btVqCZLb0awXKbFG3\n0dgitlf5AFIwSg0XJilPXS97I17vY0R4WTbYEE14y9qxKBv2RilVbTmaVb3CyLTEwWzRIKTAVBIp\nJM56yqYlT6TsY4SljL4989ISQlSmzMuG6byKCh8N3nqm8+ihMqWmsR5PTFGyNnBluQQEe0XC/k5K\nmkQT1OmiZrZsCK0/0MVJhm2TwSJZFlvDQoCy9ljnkFJG35FEYZ1HtmbAnYFtlmhqedxekOrYDpZq\nRZoc+6akOkZxX5tWMYGsXVsHRxVlbSkrh/UxlaoYrRd7HQGSpZqMaIpc+kjaWN+aFYfAXqsqWsVq\nQVnWx0lZWklQkfzLE83FnfyGBfiNiltPbHnzrTlzLtsEs3YOzmPkeh6UjTvhD+S85/qsOnf7xs22\n/pwnznizHUQqQSHVWrx5hxu1it1Ka4n3nkVlKWuHc127oO79e24H3bY7dL5Nk/ucunon05igjbdv\nq/fztoM9lxKTbobIuh/tW5u4U8TbncJA3AwY8GWExKje3NiHQAiBq4clu6N4M/QLv/4YH/iNx0/9\n/C/++uf5xV//fP/z9/1nf5E3vOqBuzrmAQMGDLjfeNe73sUP/dAP8eEPfxilFO95z3vu95B63Khg\nOyvWeJxrnE8QbVx1YhT7o5QXXhr1yoB+e9V6/PSytrH4TTQP7OfsT5LexHd3nG69wd2tLAh6s1yl\nohFyqhVKSBZl0ytnOv+N2hKJlBBIVPTQ6GLOH7qYszvJkFJy7ej4YURtPS4EXBNogkf4eMO9KBuO\nlg2WQLmw5En08kEEFrVFCYmVnt1JLLKzRFPXjpmNqqToEwPBxbH2vj5SIojmrVpFj56r0wXWBRIj\nWdYxRWpZx6KVEP8GP60ku6OEi7sZ++MMa0NMimo8qVJkY4NW8Xg6tYoQMF0EtKQlsXyM/0Yhlex9\nMIyWKBmJEtUppHxMfyraVo/Vp9dNo3q1UAcpBXkeW6Rc8Cwqh95SCK8aqTrvex8KrSUa2gdIAs/p\nfh/ORbNhKcTKvMbfWbfdgHQVqyqXbp128c7d+Drz2f1JjArfVFDdqYLMudB7t6y9vpEEdBbOQ8Rs\n7vO0saxiNTFqXtourGrNWLsju1bTs7YVrTdTWNct4VvWrk/E6lRjqZFr0da3gk3fpRu9fh4814r2\nm10THZ4riUm360O0ua27fW7OGu/9wl0hbpxzvOc97+FTn/oUdV3z/d///XzTN33T3djVgAEDbhFS\nCBCCB/aL/rV3fuMreNvXvYxFadkdHT95qhvHpx67xgd/74t9ghXAP/vXn+K1X3GRd3zDy3n5C3bu\n+TEMGDBgwL3A7u4uP/mTP3m/h7EVNyrYzoo13hlrpIrGuV0LSlfQP3N9saZaWFbrN6ydoattt99F\nOgOnyu87U+WydkjnSRMNIXqyBODpawtMG62cJ7qPfR0XGh8CVe3QRqCFYpRrHtofUVaWo0WNtR7r\no2cJArJEk4wUB0cV06pmUVua2pFnmkRpGulQWqBbU39JTGkiCI4WDY31vYdK7QLWOo6awKTQVNKx\nrG2bEiQYZRprE46WDVenVRujXGOUomk801mFddFQVAjwAaz3pFqStG1rSsRjMDp62zTOsayisfLu\nKOHFl8eMi4TpomZvlHJAhXWeZR3To5aV46GLxVpUbmcKPMpuTErUbctb03iqtuVk2bZq+ZY0y4zE\nw4mI5K4ATI1kUfm15BfZtqwAa8RfvyY6A1hn0SoaFncFatKrwI4NSE8r2LrPbBImXWJSJAqPC9jV\n9dolRd0pKCXWUpv61+X2AnobblYlcbPF+WnG2lUTya25s4wyfcdaacr2PKhWtea9j4SnEv35uZ1z\noEQkJDfjvJW4tUCOO0ky3Clsnt/VVjzgVPLiuZKYdKvE0ybu1bk5a7z3C3eFuHn/+9+PtZaf//mf\n5+mnn+YDH/jA3djNgAED7gJG2XHPe4fEKF7/ysu8/pXRCLmxjnf/5G9wbVrxyc9d5ZOfu8pLHhjz\nd972Kl724OQ500IwYMCAAc933Khgu1Gs8SWTQ8u7n6VaqK1vW4FiIdQlneiNwvCsp7hd5O6kMEyK\n+Hemsb5tZ7I0PrCTaJa1ZVlbciJ5k6WaIjXMSkuWxASsSZGQpopl6Wic79Ud3dhKwNpIoFjvozmu\nEiyqaHLZ2DgOlGBRO4yWLGsPwnE4CyyUxLnAww9N0BLmNuCDo3YSu/QcLRvKxqOIbTC18wQfqBvL\nonIsK0ejo3JmUbm2XciQKIGQglRLjNJYG9t2DuZV79+TGkVjPUIKlJE9aQOxSCn6v9GCLI0FsATy\n1EQzXyHO7YGx2l40WzYkRsWksMZT1R6ZSpSEPI2moHXtcNn6euoKQOcCBVC2xyulXGuPGivRr8dt\nT8mXVXtcbXpZ3Z7XUaHPbPvr/g1Q1ZbK+p4YSLVknMffjzJ9TwrYzKi11KYO25KATsPNEjE3W5yv\nbnuV7FpNmLpdMmXb/jqi86zx3ArivKgTrXi3qiq5UyTDncTqmlj9ju4IwdPIi21tbeMiwdf3Vj1y\np1q27tW5eS61mHW4K8TNRz7yER599FHe9a53EULgH/yDf3A3djNgwID7BKMV//T7/iqLsuEXPvp5\nfu8zV/jCMzN+5P/+HbQSvPwFO7zo0ohvecNLeOGl0f0e7oABAwY8b3Gjgu1mCrqzVAtZEk3ru4I0\nTwze+94n5aztduhuqpeVpbYOJQXFKLZYpV5hlI2R1VZQ1Y6yqshSBUGQpjJGhufHCgDv/VpcbofQ\njuOwdmSJYlFGs2SjJZmMKpZJqjAmRkzv5iaqbWgQxHahxnvqxrFsHFXt8MEjhYjJR0306KhrS5Fq\njpYNRkmsj+1EtfX41qC5co4QAnUdSE3AIlACysYjhIM6MC8li9JSZDE6XQlBkpvWyNista11xZsP\n6xHQSgrGuTlh7LwNq2RN1cRo8aNF05MtlyZZ6z3kCAF2i6RXS1kbaBrP9aOSZWXZKcxasVQ2ggs7\ncc105rAddvLTPWQSo7i0m3GgREsOHvvZKCH7MW9Dp6YpK0vVei9166Oy0Y8pS/XWArYjj+5k60Vi\nFPvjhOuz6oRR7nlJopslYm7Wc2aVBFglmNRq/PsdLFB7wm6D0Or2d7ttO3daVfJcLNpXj3H1Ozpd\nu/62kxebbW13Ok3qPNfPnWrZulfn5rnSYraK2yZutsVm7u/vk6Yp733ve/nt3/5t3v3ud/OzP/uz\nt7urAQMGPMdQZIbv+uZH+a5vfpRPfu4q//53v8CffOGAzzxxyGeeOORDn3gSgG//2pfyl1/1wNBO\nNWDAgAF3GDcq2G6moNtWyMWfA0WqcN6vGdM3LfkCnLvYTYxipzBcn3mcD1QtMaJ1VNE0ziMQK+04\nijxVBGJscbcvCVxfWpwP0TzYHpsH54kkTzWzZUOeaoyJaUtl7UiMJEkk+0VCohWuTV+0NpAnBqkE\nzsmoMJKCqvatQiaSPNGHJxCCp2o8RQpGSZwPWOtJtCB4QaMk+ECQgBBkmUIi0SoSSyFEn57ExASm\nxjp8UG0bM+zkpk86gpNkSzdnHaQQzJbN1raJ1aLKhZj+ZbSianzvOWJtVLd476kR7IwSkIJl1eAB\n20a/r/rNuNYQtisKu/8yo5gua5ZlJLlWU6DOKvAS0/nxiJ7wkEJQNZ6nry8ATpBB3bodZZrDWd2b\nMndIdYzJ7oIatvmy3I3Wi3F7vKtmyeAom/MVfbdi/nsznjOrJMAqmdIV9I11fRvknfAQ6fbXtdN1\n6PZ3KwTL5loyStxW6tDq9pZVbN27XQXPeQiN85KGq2uiqo8NuKvWfNxodd8Mh89z/dwpcu1eESrP\nlRazVdw2cfPOd76Td77znWuv/cAP/ADf+I3fiBCCN77xjXz+85+/4Xb29wu0vrsTcT/y1p9PGObv\n9vB8n79vvjzhm7/uYebLhl/9xBf5Z//y9/vf/dJvPs4v/ebjZIniBZdGvPrhC0yKhJc+NOFFl8c8\ncKHgT5845CsfuYjR2/uRn+/zd7cxzN/tYZi/28Mwf3cXNyrYzlvQbXsq3liPa01EBaJvQVFKMMrS\nWzKVbFwgNar3Z7AukCeCIjM01lFWjswoQoheN2mie9PU9ShiAQTSRPWpS1IKEh3VG9ZFk+FlZRll\ngdm8QWlBnhhSrdA6mgOXjcc7T9UEfPAYrUl03K7zHqMUUgYQkXSZ5IbKOtIkEjxKCqQSECIhMlta\nysoiOq8dLckzzTiLsdjTeU1ZOlSAuo5tVbbxKGEZpSYmH7XzVaR6rTCKyVsxtUqI2B6VGUnTfmKz\nbQLgysGyV9QsymgwXGSR2GqsQ2mFC55J+/e3rrsEKYUECFC7gAwBk6reNLhL7lFScHE3789v9OyR\njHPZriHH0aLuibqOfNlW4Ekpe1XVZjKT94HpoiHVkjRR/Xa6tr/USCDOTzf/VgXytn27i0XeLI7v\nVuvFWUlAmz5Bm7jb5qurx54aSdWEfj67eS9aldWdILKO93dsOH0zkdabqLaQBY42jry4NRJodXta\niTgHsEbe3EzRfh5C42ZJw+61NNHo9ju6uw4Ljn3E7iXOe/3cChm5DfeKULlT472TuCtn92u+5mv4\n8Ic/zLd927f1sZk3wvWWSb9buNt56893DPN3e/hym783vOIiP/3Db6GsLX/8+AGffuwav/+5Z6kb\nz2NPTnnsyempn33tV1zkkRfusDtKmJeWB/dzvu2vPsKzz87u4RE8v/Dltv7uNIb5+//Zu/PoKMp0\nD/zfWnvvpIEQtiSyyiYqooDihijqT9wQRR2ce8X1pyJyEJFBkDHgPjMOjlcdl8vP0VGGcVzmzqDO\nMA6iiI4KAgrIFoRADGTttdbfH5WqdHe6O510d9IJz+cczklXV1e99XZ1U/X08z5vZnLdfxQUyp74\nX8VlRUNYUuAQjctFh82Yechl59t98Wpe5EcXhxU42QgsNGVZ8BwDn9cOp42PuWkyf2U1txH9670x\nixIDt0O02tfTa4cOo3abpKhgdKNWTy+fwyiO3HSjWugRoSgaGoIRaDoLlmHAc83HaRd5Y6rqsBIz\nbbqzqV/Cuo5gWEYorECHDqeDh84AqqKDE1j0dNtQ7HMAjDEzlMMmQG6q4RIIKbCJbIvacgBjZaqY\n00tHZA2NQQmBkAJjEmsWPMcgIClgm2ZtMmaVkmETWIRlBoGwZM24pSgaGkNGUWNHmIdd5BGUFNg0\nIyhlZt2YRZ55noXXKVqZPdW1Ibht8e00ig73jHt/TWYQwJzKPPom03xvo2/won9Njx4OYsw0plvD\nn3QYgRgWRhDKzGphGeOxM2oYWaSp8LK5v/ib41wOvUh6U2vWkEoQoAHQoYVxBZ4DyzFgmg5XUfWY\nz5557vlDUtIZ49JhBpCzUfA4nKDQNdD+YFv8+yTwHJww+kLg25d1lE5Aoz1BQzPYFp25BCAms6wj\nteXzk40pvjsyoJIPU5JHy0ng5tprr8XSpUtx7bXXQtd1LFu2LBe7IYTkObvI4+QhvXDykF644cJh\n0HUd/pCMOr+Ew8cCqGmI4Fh9GBu3H7F+VTOLHUf73V+2WX/PnDwEF55eQgWQCSEkSjZ+oY//Vbxe\nlpoyXriYISrp3hwlalOimVFkVQPHNU9ZbWbgJBumED0zkBOImlmFiQkqmbVhGoIyBIWF2y6CZ4GS\nvgU4dixgbbeXxw6BZSHwjHUjZRc4OAQOrqbhWwCPYESBwLNQFR09vDZremcAEDkOQShgwcJlY+EQ\n+KZprVn07eFAgdsOj4OHx21DbUMY/rAMf1CGXWyeVhyakTkiihx8bhsK3UZGU50/gmBEgawYgRtz\nfZ41ZoAKhmQALHweI8hiDGEyburqG+Xm90Mx6vQoqo5AUIXXKYJlGMiqBpdDANOUsQQd0HVA1xCT\n2cMyTMzwrGaJ66LIioqahohVO8fGs9brzdme4l8T/Wt6/JA9IyOXRyAsNwVyADAaHOZ7w7GoC0Ss\nbKpo0fszmedxNoZeJPv8JbupVVQtabaFmdUWL5vFV+P3zTEswKBF4eD4rKd0gkgdMVWzoractcts\nX3skep0RXAZ8nvYFQ9KZBSrdoEd0n/pDEmwCl3AWrc4IMnRGLZh8C6h0lJwEbkRRxKOPPpqLTRNC\nujCGYeBxivA4RZT0dlvLb7xoGACg3h/B6n/tQX0ggsagjGDTr5c1DRFr3TfX7cbXu6px9sn9cNZJ\nrWfzEUJId9eWdPvWbqqifxWPv9GN3n572xR/U2pmVdhFzqqf47SpCYeSmNkIbZnW2e0UY4r7SrJq\nZc1EH78ocNYsVebU6KqmW0NHImxTfR+HCLZpuzUNIfAsB0FkwLPGTEaSagSebKJRn8Vh49GvyAOf\nW7Tqb6hNszNpug6BZ61jtYlGLR6XXUCvArt1LGatEUlRm4M8AAAjUycSUSEIbItghdJU08Zk7k8L\n6QBjZNd4HAIaQzJYALKiw8YzQNOsVAwLMJoR8AGM+jmhsAxHXHaQw97c5+Z7Y97wy6r5PuqIKMbf\nRnBJj3mNKfrXdI5lARhDeMzggcCzsAsc7DYzgNPcDk03Mo4UVQfPwyoKHIwoMfszmedQpkMvUn3+\nkt3U8hybNNsiGFFiinDHtzcb0ir0LBtZaABjDU+LXi/RjXNHTdVsfobjtTdYkIvgg9ZUA8rIFDP+\n8U2Zga0F6aL3G9+nAGMNZYuuOdZZRXPzsRZMd9XxA+EIISSJArcNt04b2WJ5UZEHPx6qxU+1Iaxa\nuxO7DtZj18F6vPx/32PB9adieJmvE1pLCCH5Id10+7beVGVyM5OsTXrcS+OLogKICcQkCjBlcqMg\nChwK3DZIIanF8uip0YHmmihmcMgYnqBYMziZbRc4Fj/VhuCPKEZ/6TpEwchQKXSLcNg5yFH9KPAc\nVM2YXUvT9aZMGxaiyEHgWLjjZmriOQaSYgwXYhmmOePGXIWBVXcmGs8xcNsFNASNY9U13Zh+XdeN\nWbAUDU6HCLvdaCugg2EAt51HbWMYsmoUL1abpn3v6bUjICmwNQ0RM3/l9zYFGSRZhaSo8AdlhCPG\nsDJzxi8bbxSYjiiqdfOa7H2LLnJsnq9cVKaCedOuaXrMcauabtX+KHBFzUolazCqE8VSdc16j1Vd\nA6PDqt/UliyRVJ+/ROeqkXmhoqYhHDPjVLPEn69s3pinyvQQmuq7AGiaoUtHSNLgiArcJHt9W4b+\nZJKZk6yWS3uDBdkOPkiy8bkxA4YhSYGm6XCAh9PVHJSL/z5MtN/4PjWHScVnkSVqa0dkP+VjLZju\nigI3hJAuwS7yKC324KGfj8OuH+vw0l+/w9H6MJ744zfwOgXcccVoDOznzfoUh4QQku/STbdvaz2F\nTG5mkrWJY4zaMeZFvshz4JtuSM1ZkTiWhcOevBZGR9woRAchom+unWiewljkOei6DlnVwLKAyLOo\nDxtBEodmFDdWVB2ypIGzRc8ABXAsjKLKUcN+vQ4BPbx2KxBiMm9SwxEFIs9CUjWInBHoAYwCxh6H\nYGT0RE0/bbfxcNp4yIoGf1iG2hTwKXCKsItcUyaNMQW7TeDgdYnWkCxF09EYkKFBB8uw0BlYbeVY\nBj6PHXJEBqMb9VgaQpI1W5XTxiMQViBLCkSeA8fHDrEyAz6tvW/JCuhGWCOIwzbN9tW8XcZaL5pR\ntDiW3JT9ozYVdokeKtTW8yjV588slBs9q5fZVnNoYHzNn+gMpmjxn7tMbspTBWU1oGkYjmoFxmw8\nZxXMTjXjVFuG/mSSmWMTuJjvkWxM4Q60/p2Sbp+Hm4Iq5lBOI8jIgombqSr++zDRNuP7Lnq7QPL6\nO6n6ONuO16FLHY0CN4SQLmdYSSEeuWU8/vX1IWzYehiVRwN44o/fgOeMX/EunVCK4h5O2EUOJ/T1\nZqUQHiGE5Kt0M2PaWoQ1kwBJqjZFX+S77LxVw8Vqj6ZBU1lIKWp65PJGIXpmJLOORDCiwMMyVt0Z\ns+1VtSEARsaLWWCY0QGB4+F1iXDaBShxtVo0HfA4RTBNQ4FkRTNmnnIIMds3mbUwenjtVmBFUlTY\neA4cy6K3zwGGaRmcMN+rPgAOHwsaASedAQsdEVWDqgIMx8RkrXAsi4AiGz+CMLBmFmIZBpJqDBdj\nWQZup4hjTcEOAGjwSwhJqjWkxiFyYFneCiKZtThcdgFep2ANGwujqUZQXGZY/DlnziZmBB8VRGQd\nhS5bU/0hgxVca5qVy3y9y25k30QHT0IRBToALmqWK3Odtp5XrX3+JNkIAEqKClnW4LQ1zQwUVWA2\nOnvCDNyl+txlGvhIFZQNhJWoLLPmYWqqprc641S630XZmMkr298Bm54T7gAAIABJREFUrW2vLX2e\naChnfM0mIPb70Dy/A2HFytZK1qcCz1mz7CWTqo9J10SBG0JIl2QTOFw8vhQXnj4A6zdX4ssdP2HH\ngTooKvCXT/ZZ6zEALp1YhmElhRg1sEfMr5uEENIdpJsZ056hT+29OUq3TaLANWUfMDHZIgLPZbUY\na1tE39ikqqFjTkEdkY0hOzzPoqjAYWWXeJyiNZtSNFUz6sv09Npa1DJJNQWwNZUyr6OAE2OmUk6V\nCeB2iugV9b6bmU0mM/PDnKpb03SIPIvo0hsCx1pDngAmZlYfWVERCBtFkCOKbtWw0TQd4Nm4GcSY\nmGFj4YiCer9kTffOAjHPx98cm/WXzOM1Z5NKZ2pps58CYcUaOBU/y1V76siwAOpDUovz1y5w8Acl\nHG0INx+vrCAsK/CFZCtzwh9SEGjK1DIDIq197jINfKQKyprLgPjsDr3FjFPx+033c5/LmbxypS19\nHv9dawbpuLghjWa/pAoKtTfzsSv2cXt1xJCwfECBG0JIl8axLM4fOwDnjx0AAKg40ogDPzVCkjUc\nawhj3VcH8X8bK/B/GysAAGXFHpw6tBemji+lYVWEkG4h3cyYjiwi2ZZsHZZlc16MtS3acsNjb7qJ\nNf8/0ZpqWlhDTARjquVoZqAk/v+gdAJoqYaPpbpRib6RjA3aMNZNpVmM2WUXEJJU9PQ4EIooRsBK\n5GETjQLIDjsXM6tPRNasWjbm8Qs82xQAag562ZuCAqboGYsisrHv+pAxlXmywEA6/ZHqJs7cv/ke\nNB+DkfHS1joykqxCVvWYrKKIrMFpM4ZcHa0Px6xv9lODX4I5eo5lAa9TtD4Ddf4IOJZJWW8nGzfl\nyc6Z+O8JM/DmsvNxRXJb7jfdz31nzESUqTZ9LyTow+hhlsnOy3hhWbXO8bYGJrpiH7dHRxXEzgcU\nuCGEdCtlfTwo6+OxHl86oQyfbj2M/9tYAX9IRkVVIyqqGvH+Z/sxuJ8X44b3RlkfD07o40k6gwoh\n5Pjy0UcfYe3atXj66acBAJs3b8by5cvBcRwmTZqEu+++u5Nb2FI6mTEdXUQy3WydfLvBaEt7zBs0\ngedQ6LKhLiBB0zQ4RN7KTDCnWDb73WHnoKktgxO5nIUl+kYyOmgRXbvHrFvidYtwqzqKCuyoD0jG\nbFaaDpddgNPGw+sQY2b1UTUNIs8hLCkxw65YlomZHQtAzA2WWaPD2EZzUKkxrELk1JgMFiD9GZ7q\n/JGYaZLDAmsNQTPf1+hhStH7b+t7YN5wR2cVAbDqwUhK7A252U+SYhR5NvvADOKZwSyjALaY9CY0\nl5+ZdLNxku03nc99V5yJqC19nqgPXfaWwyBNrQWF2pP52BX7uD2yMeyuq6DADSGkW3M7BEw9oxRT\nzyiFpuvYW9mAf28+hD2HGqzZqUw+jw0+jw17KxtQ6BYxsK8XLruAPj2dUFUNw8t8GDqgsBOPhhCS\na+Xl5diwYQNGjBhhLVu6dClWrlyJkpIS3Hbbbfjuu+8wcmTLGfC6gnwsIplvNxhtaU/0DZrTLsBm\n45LOTtRaHZdcvi/JCv1aQ5h4DoXu5sK8zfVkkHAoUvSsPhzLNt1R8M0ZBU0FplNlWpjBI1nRoDZl\n8DQGZSiKCp/X3rSOjvqABJFvOYV7Ig0hqUW9pGBEA8sx6CU4rP1HDwEyA0/ZLkwMGIGa6OCNwLMA\neDhsAqAbMzZFDz0yAznx05fH34S29zOT7nmXbjZOsv22tp+uOBNRW/u8Ld+1uQjEdcU+bo/jaUgY\nBW4IIccNlmEwpH8BhvQvAADs+rEOm384iqraIA5U+aFqGvZWNgAA6vwSvvnhaOwGmmrn2EUOQ/oX\nwGnn8cX3P8Fl5zHtzBOg6UB1XQgNAWNM++RT++PE0kJ4nCIcSaauJITkl7Fjx2LKlCl46623AAB+\nvx+SJKG0tBQAMGnSJHz22WddNnCTj/LtBqOt7WlPMKwzAmiJasSkurFONTQrelYfMxDkdIkxWSdm\nplG0+MyfsKQgLClwNE0xrmoaJFWDohh1gGRFMzJ5OKPwc7IMFElW0RCSsK+yEZquwS4YQ77MekOh\nsAp4Y/cfnSWTKGiTTpCjtRtur1PA0YbYjACBZzGg2INIINLi9WYwK74WSvw+2vOZaW2WoXQDOq2t\nm+7QlXwMIqeSy++pXAWvu1oft0e+ZWzmEt1JEEKOW8NKCjGsJDaDJiKr+OL7KnidInweGwJhBfX+\nCPYdbsS3e4+hqiaIsKRi274a6zWBsII31+1usf1X/77D+nvssCIM7OvByBN6oKS3OybNnBDS8f70\npz9h1apVMctWrFiBSy+9FJs2bbKW+f1+uN1u67HL5cKPP/7YYe3MBx2RHZJvNxj51p5sy8bxtSUQ\nFP0aoDnzJxAyhpWZARaOZeB1iAhFFLAKg2BYhcgz0BNMbR+dHWTOTKbpxtTLwYgCTdPhcYpN225b\nDZZ0gw+t3XC7mwJfDU2zSok8B69TgNcpojoQsV4vKyoistZU5JlBoVOI2V6y4ThtCTYlG1LSEJKM\n6dCTHGuyWb6i99kQlKznZVkFy7a8xkln6Eq651Ekbp/pfCdl43ssV98L+Ra87kryLWMzlyhwQwgh\nUWwCh7PH9GuxfMKoPpipD0EgrMBl59EYkhEKK9h9qB51/gi+3lUNj1PEmaP7wC5y+GTLYXhdIv71\nzSEAwNe7qvH1rmr8+d97YRc5jCjzoaS3G4P7F2DkCT4j1ZwQ0mFmzJiBGTNmtLqe2+1GIBCwHgcC\nAXi93pSv8fmc4HNcM6uoyNP6SlkQkVX4gxLsccvdTrFLF3jvqP7rzrLRh4ePBRCJKFA0DTzLoqBA\ng6KpCIUVFLhtqPdHAAA8y8JT4LCGTAFAzwIHAKDeH4EEBjanhqCi4mhtCLKiQwEDD8fC53PC67Kh\nyOdstT2Rppmq/HIYol2AzcbH7JPnWBS4bQlfo6gaeM6YHSv6s1GUZF9m/x2tD+FwdQA6p8PrcYDj\nWbjsPFwO0dp3Op+31j6rbH0o4esaAhK8rpaZVeaxpNpm/D4lWUVVTRA2noVD5Fr0n/metaf98esV\nFjqNYIykIqRpEHgOBW5bwn7qrt9jmehO34GtfQZzoTP6jwI3hBCSJoZh4HYYv4J5nSK8ThHFPYwL\nwf9n4gkx644Z3AsAMGvqidB0HZXVAWzddwwHqvzYtvcYvvnhaMxQLJ/Hhp4FdpwxvDd6FTowemAP\nysohJA+43W4IgoADBw6gpKQEGzZsaLU4cW1tMKdtKiryoLq6Maf7MJm/aserqwsmHUaT7zqy/7qr\nbPVhMOr8kqBCVlRUNwUYNNmYZlzTdDhEHodlxZp5ieMYaJLxK3ttYwT1gQiCYQXHGkIIhRXIioZA\nUIcckcFBh4NlUK0kzjgxRWfZ1Aci1vL46a+lkJR8G608bzL7T5JVVNWGYma4Coc0hAMMGvgQCtw2\n2AXOOtZUWvusJnveH5IgN03nHi/ZMJRE2zQLK5tTw7vsxvWS2X/R71l72h+9XmGhE0eqGmLqGTXU\nh1DnEBMOeztWH0IworSYsr0rf49lojt/B6b7GcxErvsvWVCIAjeEEJJjLMNgQG83BvQ2hlsoqoaf\nakM4UhPEp1sP45sfjqK2MYLaxgh2NxVLtgkczj+1P4aWFKCmwUgB7+m14dShRVQvh5AOtmzZMsyf\nPx+qqmLSpEk4+eSTO7tJHeZ4KvxIOl6iaZNtPGfNTuUQeWiaDp5nYwr2Rg+D4DgGHMsiEJbBcyyc\ndh6yYgRCPE4RLMOmNeQkeihR9Mxb5lTh5r6yKSyrUDUNsqJZs3exLAOHyMPtENsUVIj/TJrDr8zj\nUBQjMBUfvOBZFv6Q1GJ5sqBN9L6inzcLK5szZzUvN/qvtaEr6X7XmI+jZyUDmgs6xw/JkmQVjSE5\nZr1gRIHxs9vxmW1Duia6+ieEkA7Gcyz69XKhXy8Xxg4rgqbpqKoN4mB1APsON2DtpgOIyCrWfnEA\na7+Ifa3HuRsTR/VBgUvE0AGFkBQVw0t9MVOwEkIyM378eIwfP956fMopp2D16tWd2KLOczwVfiQd\nL1FtD5/HFlMjxQxAAIlrf9gFDmGBhdI0MxXPscZwCYGDxylCR3pBxujzPHq68GQBIyB13ZT451gY\n04Srqg7RYdQFUlUdmoaYQIem6QiEZXjdbcsEif6smtkvgFE3qDEgoS4ggQXAMGjK6GXAcww4jkFE\nMWf6ag5quOw2hJF4+m9V19AQlOAPyQCMGcrMAJHAs+BYISr4xaQ1Y1e63zXm4+gsJfM4gZaBnrCs\nxgTiTBFZjZkdjeReR8+m193Q2UoIIZ2MZRn07elC354unD68N649fwhqGyPYeaAWB6r8qKoNQuBZ\n7D/ciJ/qQvjwy8SFUcedWIRrJw9BrxRjyAkhpC2Op8KPpHPEF3yNLwxszv6U7OZfFDgUum3wukX4\ngwoAPWZWKZFPL9gSHTiIni48WcCotVmaop8LRxQjINI0bEhRNQTCCjTN2H48lmXAtDGpLfqzGp2N\nwjIM6gIRRCTjmO02DqoOOEQdYUmDw8bHTI3OsSxYjrGONf7zLzcNOVMZvSnApVjFoM0fkdwOISZL\nKZ2b83S/a8zH8cEYs6ZJfKBHVfWYQJy1XNO71fdYvgdF0i34TZKjwA0hhOQhn8eGCaP6YMKo2OUH\nqhqxbV8N9lU2YP+RRhxrCFvP/WdnNf6zsxoTRhXj9OG9UVLkRq9CCuIQQtqPZjshHa0955wocCgr\n8uBo1P+JJm/UDE2pbh4TDdtKFTBKNktT9HIzW6ghGAHAQNV19HA3b0tnYA2NiigaNE0Dy7IodAoJ\nZ2ZKJabfNM0a9hSRNUQkFRGrXRw0TUNdUIKN5+BoCiYJCQqqJ3ovNI2x2ibwHARFQ2NQRlhWYBd4\neByxNYHSDY6k+76LAge3U4TDzsEf1GKGdyXanxHI4VoEpxz27vM9lougSLYDQak+L93lfcg1CtwQ\nQkgXUlrsQWlxbNGyQFiGomhYv6US//z6ED7fXoXPt1cBAHp6bThtRB8M7uuBomgo9NhQVGBHr0IH\nVE2DP6SgIMFsEoQQYuruU2OT/NOecy7Z1NvuqDoxqW4ezXoy6d6stlaTJXq4kqbpAHQEQxo89uZA\nEsew8DgEBCMKeJ5tUWOmraL7zWyHWZQXQMywak3ToSfJ6onet7lN80a+MSRb7QQAWdVgt3Gw2zg4\nbTwisgZZMYYhtfVmP9333SZw6OV1wOsQW32/zIBcfHDKZe8+t8HZDookCwRJsmoN92trMIfqpWWu\n+5yxhBBynDJnbph21kBMPaMUX+74Cd9X1OLwsQD2HW7Eh5sqWrzG6xLRGJCgw8juOWlQD/Tv5UZD\nUIJd5HD68N7oncbUqYQQQki+cDvFmEBNvNZuHtsSMGqtJos/FDVciWWsoUSRqJtsjmPgsosJs2sy\nGcYTnT3EsSx4loGiAmLUbJUsy8CZJHiRqJaPeSNvDlGKHx7FsYwVHOE4pkNma0rn/ToesgazHRRJ\nFAiSFRX+kGrN7NbWrB6ql5Y5CtwQQkg3IgoczjqpL846qS8Ao/jerspG7Nh3FIeqAzihjwcHqvz4\n4WAddBhj32sbI1i/5XDMdv78770Y1M+LgX28cNh5lPZ2o6jQgZqGMKrrQrDbeHhdIkqK3ChwizR1\nOSGEkLyXzZvH1mqy1ETVXzFnWrLxXItix7kILERv0yawcNh42EUeGnQr2FLossHjEo3izq3sO/pG\nPrpeTEhSrB+PbFGvybcsiu6eNZjtoEiibRnDzFouTzerh+qlZY4CN4QQ0o3ZBA6Tx5XgpLLCFs+Z\nF2+KqmHPoXr8VBfCrh/rEIqoOPiTH3srG7C3sqHVfYg8i16FDog8i4ison8vF4p7OCHwRgo4z7OQ\nZM0IBPX15uIwCSGEkFZl8+axtYCLOQRK1XTYRWMYkXHfq4Pn2JjaObkILJjb9DpFOG08av2RFlN+\nm+1tbd/RN/KxhZvRosYM0DWzKPK9uG8q0ed19DTwHocAqR3DpRIFgsy6SfHSDdIdD5lPuUaBG0II\nOU6Z6c08x+LEUh9OLPXh7DH9rOdrGsKoONKIqtoQvv6hGqGwgoaghDOGF6O3z4FjDWHU+SP48Sc/\nGgISJFmFpGg4fCyYcr/9erlw2ZllGD+iGAzT9S7uCCGEdE3ZvnlMFfTwOBMPgXLZeRS4bZBCUrv2\n2R5upwgxjcyaZOJv5M0hUQ47B47J7jCvztDVZzwy29gQkhCMKOBYBk4bD5ZlreNqy3EkCnByLAub\n0PK9bkuQLtEMcg1BiQI5aaLADSGEkIR6eO3o4bUDAC4eX5rWazRNx8FqP8KSioqqRny54yeEIgrK\nij2obYzg+4paVB4N4MX3vsOqtTsRkZrTr112Hj6PHQVuEb19Dpw0sCdOHtKTgjuEEEKypqOGzeRb\nhkEmx50sU8nraFtB53zVHWY8EgUOosyhwNUyuNLW40h07vrcIuQE2TXtDdJlO1jWlTOm0kWBG0II\nIVnDsow169WwkkJcOK6kxToHqhrx/mf7cbA6gKqa5uycQFhBIOzHwWpg+z7gX18fsp4rLXbD7RDw\n3f5aOGzG9KU1DRFcMqEUJb3dOHlwLzhs9F8aIYSQ/NFdaqu0FoTK12NM92Y+lzMedWRAIZvHkSg7\nJqxICIVVADqcNh6epkyu9shmsCyTIFBXCvjQVS4hhJAOVVrswV1XnQQAOFYfhqSoUFQdLjsPWdHg\nsPHYvq8Gv//rd9ZrDlT5rb9DERWhiPEf/t8/PwAA4DkG40cW4/xTB6C3zwG3QwAhhBBCsqOrBaHa\ncjOfqxmPOnoIVq6Pg2NYuB3ZmYwim0Gm9gaButoQuZwEbhobG3HfffchGAxCFEU8+eSTKCoqysWu\nCCGEdGE9C+wJl08c3QcTR/cB0FxEWVY01DSEreKKDhuPiqpGbNl9FP/65hA+3XoEn249AsAolnhC\nHw+mjCvBmME9KRuHEEIIOY605WY+VzMedfQQrK50HNkMMqUKAqXKqOlqQ+RyciX79ttvY9iwYViw\nYAFWr16Nl19+GQsXLszFrgghhHRzZhFlgWdR3MMZ89xJg3ripEE9Mf3cwXj/0/3wh2TsP9KIg9V+\n7KlswJ73tgMAHDYO/Yvc0DUdeyobMHlsf4wo84HnWBQVOuDz2Ci4Qwghx4F8HBrxzjtrcOzYMcye\nfXvC519++QX07NkTV155Tavb0jQNTz/9GHbv/gGCIGDhwocwYEDLYcumV155ERs3bgDH8ZgzZx5G\njhzd7uPIJ23J6MhVPaJcDsFKpCsdRzaDTMmCQKqupcyo6ej3J1M5uUodNmwY9u7dCwDw+/3geboY\nJoQQkjsOG49rJw+xHsuKih8O1uOrXdX4emc1/CEZuw/WW8+v+/oQ1kXV0AEAn8eGPj2csIvGRU5D\nQEJZsQdjRxbjWE0QkqzC57VheKkR8CGEENK1dLWhEe3xyScfQ5IkvPDCq9i2bSueffbXeOyxXyVc\nd+fOHdi8+Wu8+OIqVFVVYfHiBXjppf+vg1ucG23N6MjFULDW2pCLIGJnHEd7ZDPIlCwIxOgAEjTR\nzKjJ1dCyXMk4ovKnP/0Jq1atilm2ZMkSfPrpp7j00ktRX1+P119/vdXt+HxO8HxuvzCLijw53X53\nR/2XGeq/zFD/ZeZ47L9+fQtx7ull1mNV1SArGr7fXwN/UMa76/dg54FaTDypL6qOBXHwp0Z8X1Eb\ns43vK2qx9osDCbc/vMyHyeNKcP5pJbBTtk5KXe38++ijj7B27Vo8/fTT1uPHH38cffv2BQDcc889\nOOOMMzqziYSQdsjF0IhIJIxHHlmKY8eq0bt3MTZv/gYlJaXw+XqgoaEBy5c/gccfL4ff34ijR6tx\n9dXX4rbb/htbtmzGM888BY/HC47jMGpU6kyX9es/xrp1/0A4HMbcufOTZsZ8++1mjB8/EQAwevRJ\n2LHj+6Tb/PbbzTj99AlgGAZ9+vSBqiqora2Fz+drV1/kk1wNG8pWG5IFESVZhdb0OF8ywnLVl9kK\nMiUKArEAakOKNbzeJhhT2APNGTX5cI60RcZXmjNmzMCMGTNilt1999245ZZbMHPmTOzYsQP33HMP\n3n///ZTbqa0Npnw+U0VFHlRXN+Z0H90Z9V9mqP8yQ/2XGeq/WAN6OIAeDgy/4dQWzymqkVZbcaQR\njUEJgZAMnWMRCcvYuvcYjhwLIiIbxZR3VNRiR0UtnvvztzhlSC8M6udFgUuEDqCowA63U4TLzltT\nqh+vcn3+ZTsoVF5ejg0bNmDEiBHWsm3btuH+++/H1KlTs7qv410+Dlkh3Vsuhka8++5f0K9fP5SX\nP46Kiv2YNetalJSUYsqUqTj33POxc+cOTJlyEc49dzKOHq3G3Xffhttu+288/fSjKC9/AqWlZXjq\nqUdb3U/fvv1w//2LsHfvHpSXL8ErryT+YTwQCMDlcluPWZaFoigJR0AEAn4UFBRaj51OFwIBf7cI\n3OTDdOyp2tAQlFqsLysq/CEV7qZp1vMlIywf+rI10UGg5qAYA0CHqukIRhQ4AQg8Z2XUdIXjipaT\nnwi9Xi88HuNCqmfPnggEArnYDSGEEJJVPMeiwCVizOCe1jIz8HD5WQOtZbKioqLKjw3fVmLj9ips\n3n0Um3cfTbjNnl47fF4bPA4BPQvsRq0enxM+jw2hiIL+vVxoDMrgORZDBhTk/BhJamPHjsWUKVPw\n1ltvWcu2b9+O77//HqtWrcKYMWMwf/58GgaeoeNhyArJP7kYGlFRsQ/jx58JACgrOwGFhUbQo7TU\nyPjs0aMHVq9+A//+97/gdLqgKMZ5XlNTY61z0kkn4+DBH1Pu5+STxwIABg0ajGPHjiVdz+VyIRhs\n/kFc1/Wk31culxvBYPN9WjAYgNvdtTIkU8mHmbCStSHReRiRNahay+X5UCw3H/oyXWZmnU1gEYxo\n1vKIrELguZiMmq50XDm56rj33nuxePFivPHGG1AUBY888kgudkMIIYR0CoHnMKR/AYb0L8DPLjoR\nh48FUdMQRm1jBEdqgtA0HZqu48BPfhw5FsSeQ/XQ0/hBl2MZ9PTa4XWJYFkGHMtg9KAeGNTXixP6\neGETu8bFRVeQaKj3ihUrcOmll2LTpk0xy8866yxMmTIFAwYMwNKlS/Hmm2/iZz/7WdJt0/Dv1tX7\nI7C7tBbLeY5FgduW8/139f7LB12xD72yCn+CTAe3U4StnTdvY8aMwt69OzB9+jQcOHAA9fV1EMXB\n6NnTjaIiD1566VlMmHA6brjhBnz++ef44ovPAAB9+/ZBQ8NPGDx4MPbv/wEFBQVJ+9TlsmH//l0o\nKpqBnTt3YsCA/knXPeusCfjXv/6FmTOvxubNmzF8+IlJ1z3nnIl48sknMWfO/4sjR46AZRkMHZq8\nkHE+6YrnXzTRIUJRY78D2cYweJaFxyW2WL9ngSOr++/q/ZcKWx+y/pZkFWFJhapp4FgW/Yrc7f6s\nR+uM/stJ4Ka4uBi///3vc7FpQgghJK/wHIuS3m6U9HYnXUfTdTQEJByoasTeygYIPIs9hxpQ54+g\nV6EDew7Vw2HjwbEMahrC+Kmu+aLDrLtjEziMO7EILoeAEWU+DBlQAJvAUaHkdko01DuZ6dOnw+v1\nAgAuuOACfPDBBynXp+HfrattjCR9Tgq1vLHOpu7Qf52tK/dhoiF6mtSyzkW6zjtvKpYvX4Zrr52J\nPn36QBRFSJKC2togqqsbMXbsBPz610/g3Xffh9vtBsBAkiTcd98DmDdvPlwuF5xOJ4YMGZa0TwOB\nCPbu3Y/rr78Rsixh3ryFSdc95ZQJ+Oc/P8b06TOg6zoWLVqadN3i4jKMGHESrr76Gui6jjlz7u8S\n72tXPv9M8VmHAOAPybAJLKSwHLOc45iMztF43aH/UmkISgkzmhhOQ0Nd5v8/d9YQcMrzJYQQQnKM\nZRgUum0odNswZnCvVtdvDEqQFQ2NQRm7D9Vjb2U9Nm6vwqfbjgAAPvyyOaVeFFgUum1W8eVCtw2y\nqsEu8jixpBBFPgd4jgHPseBYBizDQFY19O3phNPGo6jQAYbJzxkU8oGu67j88svx5ptvok+fPti4\ncSNGjRrV2c3q8rrabB6k+8j20Ihdu3bissuuwBlnTMCPPx7A1q3f4tlnX7SeHzt2HF57bXVsG0QR\nI0eOTnsGp2TThCfCsizuv39R2uvPnn17m7ZPsiNRfRWfW4Sc4HsxX4vl5quuVnQ4XRS4IYQQQvKM\nx2mkSffw2lHWx4MLThuAa88fgt2HGlBR1YDDx4zhWBFZhT8ko84voSFgZCk0BJt/qdt3uCGt/YkC\nC5/bhpOH9MKIMh96+xwo9jnBsnQTzTAMysvLcffdd8Nut2Pw4MG49tprO7tZXV53vbAmx59+/frj\n4Yd/gVdffRGKomDevAfava1Fi+5HQ0N9zDK3251wOu+nnnoM+/fvbbH86ad/C5sttij+q6/+Hl99\n9WWC/S1Fv379291ekplEQUQq2p65rlZ0OF2Mrqcz6j73cp2u1d1TwnKN+i8z1H+Zof7LDPVfZrpK\n/6maBl03hm7JioqIrGHngTrIigpV06GoGhRVR0VVIwIhGQLP4oeD9ZAVDZKiQpJjx9o7bBymnlGK\ngX29EHkWPo+RMdTWC5+uNqtUNnT3a5ps3Vh01g1KZ/dfd0B9mBnqv8xQ/2WG+i8zNFSKEEIIIe3G\nsc21bgSeg8BzOO3EorRfH5FUbN59FIeO+rH/SCO27a3BO5/si1mHAeDz2lDgskHgGDAMA4YBWJZB\nsc+Jfr1cOHlwT/QqNIooapqOPPl9iGRJNmeD6kqzeRBCCCGdiQI3hBBCCIFN5DB+ZDGAYgBAVW0Q\n2/bWIBCSEZZU1PojOHw0gAM/+VHTEAEDIDok891+o4jy6x8Zs2NxHANJ1tDDa8NDN43rkJmCSO6Z\n06wmWk5BGEIIISQ3KHBDCCGEkBaKfU4Un+Zssdyc9ULgOegcw238AAAgAElEQVS6Dl0HwpKKyqMB\n7DhQi10H69DglxCMKKhtjKCo0Ek39N1IooLCqZYTQgghJHMUuCGEEEJI2twOwfrbHCrltPMYMqAA\nQwYUtFifxtJ3LzQbFCGEENLx2NZXIYQQQgghJPmsTzQbFCGEEJI7lHFDCCGEEELS0l2nWSWEEELy\nGQVuCCGEEEJI2mg2KEIIIaRjMTrN00kIIYQQQgghhBCSl6jGDSGEEEIIIYQQQkieosANIYQQQggh\nhBBCSJ6iwA0hhBBCCCGEEEJInqLADSGEEEIIIYQQQkieosANIYQQQgghhBBCSJ6iwA0hhBBCCCGE\nEEJInqLADSGEEEIIIYQQQkie4ju7AbmmaRoefvhh7Ny5E6Ioory8HGVlZZ3drLxx1VVXwe12AwAG\nDBiA6667DsuXLwfHcZg0aRLuvvvupH24efPmFuseL7Zs2YKnnnoKr732GioqKrBw4UIwDIOhQ4di\n6dKlYFkWzz77LD7++GPwPI9FixZhzJgxbVq3O4vuv++++w633347TjjhBADA9ddfj0svvZT6LwlZ\nlrFo0SIcOnQIkiThzjvvxJAhQ+gcTFOi/uvbty+dg2lSVRWLFy/Gvn37wDAMli1bBpvNRudfB6Fr\nmtbRdU370HVNZui6pn3omiYzdE2TmS53TaN3cx988IH+wAMP6Lqu6998841+xx13dHKL8kc4HNav\nuOKKmGWXX365XlFRoWuapt9yyy369u3bk/ZhonWPBy+++KJ+2WWX6TNmzNB1Xddvv/12/fPPP9d1\nXdcfeugh/cMPP9S3bdumz5o1S9c0TT906JB+9dVXt3nd7iq+/1avXq2//PLLMetQ/yW3Zs0avby8\nXNd1Xa+trdXPPfdcOgfbIFH/0TmYvo8++khfuHChruu6/vnnn+t33HEHnX8diK5pUqPrmvah65rM\n0HVN+9E1TWbomiYzXe2apttn3Hz11Vc4++yzAQCnnHIKtm3b1sktyh87duxAKBTCzTffDEVRcM89\n90CSJJSWlgIAJk2ahM8++wzV1dUt+tDv9ydcd+TIkZ12PB2ltLQUK1euxIIFCwAA27dvxxlnnAEA\nOOecc/Dpp59i4MCBmDRpEhiGQb9+/aCqKmpqatq0bo8ePTrtGHMpvv+2bduGffv24Z///CfKysqw\naNEifPXVV9R/SVx88cWYOnUqAEDXdXAcR+dgGyTqPzoH0zdlyhScd955AIDKykp4vV589tlndP51\nELqmSY2ua9qHrmsyQ9c17UfXNJmha5rMdLVrmm5f48bv91spswDAcRwURenEFuUPu92O2bNn4+WX\nX8ayZcvw4IMPwuFwWM+7XC40NjYm7MP4Zea6x4OpU6eC55tjnrqug2EYAMn7zFzelnW7q/j+GzNm\nDBYsWIDXX38dJSUl+N3vfkf9l4LL5YLb7Ybf78ecOXMwd+5cOgfbIFH/0TnYNjzP44EHHsAjjzyC\nadOm0fnXgeiaJjW6rmkfuq7JDF3XtB9d02SGrmky15Wuabp94MbtdiMQCFiPNU2L+XI9ng0cOBCX\nX345GIbBwIED4fF4UFdXZz0fCATg9XoT9mH8MnPd4xHLNn+MkvVZIBCAx+Np07rHiwsvvBCjR4+2\n/v7uu++o/1px+PBh3HTTTbjiiiswbdo0OgfbKL7/6Bxsu8cffxwffPABHnroIUQiEWs5nX+5Rdc0\nqdF1TXbQ/ymZof9T2oauaTJD1zSZ6yrXNN0+cDN27FisX78eALB582YMGzask1uUP9asWYPHHnsM\nAFBVVYVQKASn04kDBw5A13Vs2LAB48aNS9iHbrcbgiC0WPd4NHLkSGzatAkAsH79eqvPNmzYAE3T\nUFlZCU3T0KNHjzate7yYPXs2vv32WwDAxo0bMWrUKOq/FI4ePYqbb74Z999/P6655hoAdA62RaL+\no3Mwfe+88w5eeOEFAIDD4QDDMBg9ejSdfx2ErmlSo+ua7KD/UzJD/6ekj65pMkPXNJnpatc0jK7r\nela2lKfMmQN27doFXdexYsUKDB48uLOblRckScKDDz6IyspKMAyD+fPng2VZrFixAqqqYtKkSbjv\nvvuS9uHmzZtbrHu8OHjwIObNm4fVq1dj3759eOihhyDLMgYNGoTy8nJwHIeVK1di/fr10DQNDz74\nIMaNG9emdbuz6P7bvn07HnnkEQiCgF69euGRRx6B2+2m/kuivLwcf//73zFo0CBr2S9+8QuUl5fT\nOZiGRP03d+5cPPnkk3QOpiEYDOLBBx/E0aNHoSgKbr31VgwePJi+AzsIXdOkRtc17UfXNZmh65r2\noWuazNA1TWa62jVNtw/cEEIIIYQQQgghhHRV3X6oFCGEEEIIIYQQQkhXRYEbQgghhBBCCCGEkDxF\ngRtCCCGEEEIIIYSQPEWBG0IIIYQQQgghhJA8RYEbQgghhBBCCCGEkDxFgRtCCCGEEEIIIYSQPEWB\nG0IIIYQQQgghhJA8RYEbQgghhBBCCCGEkDxFgRtCCCGEEEIIIYSQPEWBG0IIIYQQQgghhJA8RYEb\nQgghhBBCCCGEkDxFgRtCCCGEEEIIIYSQPEWBG0IIIYQQQgghhJA8RYEbQgghhBBCCCGEkDxFgRtC\nuqmDBw9ixIgRuOKKK6x/l19+OdasWdPZTcPHH3+MZ555prObEePtt9/Geeedh9mzZ2d1uxs2bMAV\nV1yR1W0SQgghJLk//elPmDFjBi655BJMmTIF//3f/40tW7ZkvN21a9di1qxZAIBnnnkG77zzTru3\n9e2332LJkiVtft3SpUsxefJk/PrXv273vhN55pln8Mtf/jKr2ySEZA/f2Q0ghOSO3W7Hu+++az2u\nqqrCZZddhtGjR2P48OGd1q6tW7eivr6+0/afyDvvvIP77rsva0GWcDiM//mf/8Hrr7+OPn36ZGWb\nhBBCCEntV7/6Fb788kv85je/Qf/+/QEAGzduxO233463334b/fr1y8p+7r333oxev3v3blRVVbX5\ndW+99RY+/vjjrF1bHDlyBCtWrMC///1vTJ8+PSvbJIRkHwVuCDmOFBcXo6ysDPv370dpaSkefvhh\n7N+/H/X19XC5XHjqqacwaNAgzJo1CwUFBdi7dy+uv/56nHTSSXjyySchSRKqq6tx5plnYsWKFTh4\n8CB+/vOfY8KECdi8eTMURcGCBQvw1ltvYe/evRg9ejR+9atfgWWbk/u2bNmCN998E6qqwuPxoKys\nDGvWrEEoFILb7cYLL7yQtF3V1dVYunQp9u7dC5ZlMXPmTNx0001obGzE8uXLsWvXLsiyjIkTJ2LB\nggXg+divuMbGRixbtgw7duwAwzA4++yzMW/ePDzxxBPYunUrDh48iNraWvzXf/2X9ZpNmzbhkUce\nwV//+teEj5PZsGEDQqEQVqxYgd/+9rfZexMJIYQQktDRo0exatUqfPTRR+jdu7e1fOLEiVi4cCFC\noRAAYPLkyRgzZgx27tyJefPmged5vPDCC5AkCTU1Nbjyyisxd+5cAEYmyvvvv4/CwkKUlZVZ21y4\ncCGGDh2K2bNnY8+ePVi+fDnq6uqgqipmzZqFa665Bps2bcKvf/1rlJSU4IcffoAkSViyZAnKysrw\n29/+Fo2NjXjwwQfx6KOPxhzHDz/8gF/+8peoq6sDwzC4+eabceWVV+KGG26Aruu49dZbsXTpUowb\nN856zcqVK1FbW2tl8cQ/TmbNmjU47bTTMGjQIDQ0NGT2BhBCcoYCN4QcR7755hscOHAAJ598Mtav\nXw+v14vVq1cDAJYsWYLXX38dDz30EADA6/Xib3/7GwBg3rx5mDNnDsaPH49AIIALLrgA27ZtQ2Fh\nIQ4ePIjJkydj+fLlWLp0KZYvX4733nsPgiDgggsuwObNmzF27FirDSeffDJmzpyJ2tpa3HfffXj7\n7bexe/durFu3Dm63G2vXrk3armXLluGEE07Ac889h8bGRlx//fU499xz8fzzz2PUqFF47LHHoKoq\nFi5ciFdffRW33nprzPGXl5ejsLAQ77//PmRZxp133olXXnkFixYtwvfff48bb7wRF198cVb6esqU\nKZgyZQo2bdqUle0RQgghJLXNmzdj8ODBMUEb05VXXhnzeOjQofjNb34DXddx00034bHHHsMJJ5yA\nqqoqnH/++bjpppvw9ddf48MPP8Q777wDu92Ou+66q8V2FUXBnDlz8MQTT2DUqFFobGzEddddhyFD\nhgAwhkQtXboUI0aMwCuvvIJnn30Wf/jDHzBnzhx88MEHLYI2iqLgzjvvxIIFC3DRRRehqqoKM2bM\nQFlZGd544w2ceOKJWLVqFXr06JGVPrv77rsBGIEeQkj+osANId1YOBy2hv6oqgqfz4cnn3wSffv2\nRd++fVFSUoLXXnsNFRUV+OKLL3Dqqadar43+Feexxx7D+vXr8fzzz2Pv3r0Ih8MIBoMoLCyEIAiY\nPHkyAKC0tBSnnnoq3G43AKB3795pDYk68cQTrddcfPHFSdv12Wef4f777wcAeDweK+vl448/xtat\nW636PeFwOOF+1q9fjz/+8Y9gGAaiKGLmzJlYtWoVbrvttvQ7lRBCCCF5Sdf1mMd+vx833ngjACAY\nDOKSSy7BvHnzADRf5zAMg+effx4ff/wx/vrXv2LPnj3QdR2hUAgbN27EhRdeaF2jTJ8+Ha+99lrM\nPvbv348DBw5g0aJF1rJwOIzvvvsOgwcPRr9+/TBixAgAwMiRI/GXv/wl5THs378fkUgEF110EQAj\nW/qiiy7CJ598EnOdRgg5vlDghpBuLL7GTbQ33ngDq1evxo033ohp06ZZ2TMmp9Np/X3jjTdi+PDh\nOPvss3HJJZdgy5Yt1sWRIAhgGMZaVxCENrczel+p2sXzfMy+fvzxR/h8PmiahmeeeQaDBw8GADQ0\nNMSsZ9I0rcVjRVFSto1hmJgLQVmW23x8hBBCCMm9MWPGYN++faitrYXP54Pb7baug8yhQybz2iMY\nDOKqq67ClClTMG7cOEyfPh3/+Mc/oOt6i2sAjuNa7FNVVXi93pjrraNHj8Lj8WDz5s2w2+3W8vjt\nJRJ/rQIYASm6XiHk+EazShFynNqwYQOuuuoqzJgxAwMHDsS6deugqmqL9err67Ft2zbMnz/fStk9\ncOBAwguLdHEcl/QCJFW7Jk6ciD//+c8AjHo1P//5z7F//35MmjQJ//u//wtd1yFJEu6880784Q9/\naLHtSZMm4fXXX7fWW716Nc4888yUbe3RowcqKytx7Ngx6LqOf/zjH+0+bkIIIYTkTnFxMW666Sbc\ne++9qKystJZXVlbi66+/jqm5Z6qoqIDf78fcuXMxefJkfPHFF5AkCZqm4eyzz8batWvR0NAATdMS\n/hg2cOBA2Gw267nDhw/jsssuw7Zt21K2Ndm10MCBAyEIAj788EMAxsQSH3zwQavXKz6fD9u3b4eu\n6wgGg9iwYUPK9QkhXQtl3BBynLr55puxZMkSvP322+A4DqNGjcKuXbtarFdQUIDbbrsNV111FQoL\nC+Hz+TB27FhUVFSgpKSkXfueOHEi7rnnHgiCgFGjRqXdriVLluDhhx/GtGnToOs6br/9dowePRq/\n+MUvsHz5ckybNg2yLOPMM8/ELbfc0mK/ixcvRnl5ubXe2WefjTvuuCNlW4cMGYKZM2di+vTpKCoq\nwnnnndeuYyaEEEJI7t1333147733MH/+fASDQSiKAlEUcemll1rDpqKdeOKJOO+883DJJZfA6/Wi\ntLQUQ4YMQUVFBc4991zs3LkT06dPh9frxfDhw2OydgBAFEU899xzWL58OV566SUoioJ7770Xp512\nWso6d6eeeip+85vf4K677sLvfvc7a7kgCHjuuedQXl6OlStXQlVV3HXXXZgwYULK47788svxySef\n4KKLLkJxcTFOPfXUVrN7CCFdB6PTJ5oQQgghhBBCCCEkL1HGDSGEtMN7772Hl19+OeFz06ZNS5jx\nQwghhBDSkVasWJE08+fBBx9sNZOHEJIfKOOGEEIIIYQQQgghJE9RcWJCCCGEEEIIIYSQPEWBG0II\nIYQQQgghhJA8lTc1bqqrG3O6fZ/PidraYE730Z1R/2WG+i8z1H+Zof7LDPVfZnLdf0VFnpxtu73o\nmia/Uf9ljvowM9R/maH+ywz1X2Y667rmuMm44Xmus5vQpVH/ZYb6LzPUf5mh/ssM9V9mqP+yj/o0\nM9R/maM+zAz1X2ao/zJD/ZeZzuq/4yZwQwghhBBCCCGEENLVZBS42bJlC2bNmtVi+bp16zB9+nRc\nd911WL16dSa7IIQQQgghhBBCCEmbqqmIqBLCShgRVYKqqZ3dpIy0u8bN73//e7z33ntwOBwxy2VZ\nxqOPPoo1a9bA4XDg+uuvx+TJk9GrV6+MG0sIIYQQQgghhJD8p2oqFF2FrmtgGBY8w4Fjcz/USNVU\nyJpsPdZ1DbKuAUCH7D8X2p1xU1paipUrV7ZYvmfPHpSWlqKgoACiKOK0007Dl19+mVEjM3XXugW4\n9q07O7UNhBBCCCGEEELI8cAMnuhNARNd1yBrcodkvih64n0kW94VtDtwM3XqVPB8y4Qdv98Pj6e5\nErLL5YLf72/vbrLqrnULOrsJhBBCCCGEEEKOI91t2E46OjN4ousaVN3s84jR502ZP11V1qcDd7vd\nCAQC1uNAIBATyEnG53N2TIVmp4QiV8/c76cbyscpV7sS6r/MUP9lhvovM9R/maH+I4QQcrzqjsN2\n0pEsSNIRwRMNOmRVidqn8Zjhu+7cTFkP3AwePBgVFRWoq6uD0+nEf/7zH8yePbvV1+VyLvR7TrkV\nKzf/HgBw118XY8bQK/CnH94FAEzqNx6HAz9hT/0+TOgzDrNGXpuzdnRlRUUeVFc3dnYzuizqv8xQ\n/2WG+i8z1H+ZyXX/UVCIEEJIPkuVecKh+wZuGIZNGKRhmA4InuhtXN4FZC1w8/777yMYDOK6667D\nwoULMXv2bOi6junTp6O4uDhbu2mX4T2G4uenXINVm9cAgBW0AYANlZusvz8/8h8c8lfiR38lfnHG\nPPRz90Gl/wh+bDwERVNwVv/xHd52QgghhBBCCCFdU3szTzqrsG9bJWsnz3BWZlE0nsn9MbAMA4EV\nWrSLZZhWX5uv/Z5R4GbAgAHWdN/Tpk2zlk+ePBmTJ0/OrGVZNnXoefih6gA+O/xFyvV+9FcCAJZ/\n8Ss8MG4OHv/Pb63nTuwxBL0cNMyKEEIISVdNTQ1mzrwOq1b9ETabLel627ZtxTPPPAWe53D66RNw\n8823dWArCSGEkNxoT+ZJVxlelU47OyMIwjAsOBbg4kr6tpbtk8/93nUHebURz3K4ccQ11uMSdz8s\nGHeP9XiYb0iL10QHbQDgb/v+kbsGEkIIId3Mpk0bcfPNN6Om5lir6z711KN4+OHleO65l/Hdd9uw\na9eODmghIYQQklvJMkxSZZ50lVmRWmsnx3KwcSLsvB02Tuyw4Ed7+hzI737Peo2bfPfs+Y+jMnAE\n/Vx9wDAMfjf5CQDAS1tfa/W1m458BZfgxPSh01pdlxBCCMml1et248sdP2V1m6cP741rJ7f8ISPa\n3/72Pioq9uPOO+9BJBLBjTdegzVr3k+4LssyePXVV3HllVel3GYg4IcsS+jffwAA4IwzJuI///kC\nw4YNb9+BEEIIIXmiPZknnVnYty3ytZ3tzfbJ1+MBjqOMGxPDMOjv7gsmbnzbtEFTrb8fm7TE+vui\nsvMx/7S7rcfrfvwEd61bgLvWLcD965dC17twhSNCCCEkh04/fQJ8Pl+r6wUCATidLuux0+mE3+/P\nZdMIIYSQDpNu5ok5bbjxT4aqxQYMOqSwbxska08+tLM92T75fDzHXcZNMsWu3lb2DQAsGT8fHtEN\np+BM+pqgEsLd/3oAt5/0c4wpGtURzSSEEEIAANdOHtJqdkzuZefHC5fLhVCoeXbJYDAIt7tzZouS\nZRmLFi3CoUOHIEkS7rzzTgwZMgQLFy4EwzAYOnQoli5dCpbt/Is4Qggh3Ud0fRWe5SCrSlN9FQFc\n0/85qYb6dEZR3c4sQJwL+Xw8dNWRRLGrd0zQJjqoE++FrasQUsId0SxCCCGkU4miiGPHjgIAdu7M\nTh0al8sNnhdw6NBB6LqOL77YiJNPPjUr226r9957D4WFhXjjjTfw0ksv4ZFHHsGjjz6KuXPn4o03\n3oCu6/jnP//ZKW0jhJBcUjUNEUlFKKIgIqktsj1IbkXXUeEYDgLHg2EYKLoKhmEhsELKTB1Zk60h\nPbquQdZkqFpua7NwLAeBFayMlNbame/y+XgocNMGv5z4IHy2woTPzV+/BAcbKzu4RYQQQkjHGj/+\nTBw5chh33jkb69b9Ay6Xq/UXpWH+/AexbNli3HrrzzF06IkYNWp0VrbbVhdffDHuvfdeAICu6+A4\nDtu3b8cZZ5wBADjnnHPw2WefdUrbCCEkV1RNgyRr0JrKQGi6DknWKHjTgeLrqHCMMdTHxgmtDvXp\nzKK6nVWAOFfy9XhoqFQb9HT4UH7WItSG61Bg8yKkhPFp5Sa8u+fvAIBHv/wNAIABg2cnP96ZTSWE\nEEJywuPx4NlnX2zTa5IVL442evRJePHF/21nq7LHDET5/X7MmTMHc+fOxeOPP27VxnO5XGhsbOzM\nJhJCSNYpSuKhr4qigxM7uDE5oGoaFEWHputgGQY8z1jDj/JFe6YNN+VzUV2SHRS4aQef3ci6cQlO\nnNN/ohW4MenQ8fiXv8UDp8/pjOYRQgghHebdd9/GRx+tbbH8jjvuxujRY2KWfffdNjz33G9brHvB\nBRfhqquuyVkb2+rw4cO46667cMMNN2DatGl48sknrecCgQC8Xm/K1/t8TvB8bn+hKyrqnBpA3QX1\nX+aoDzOTb/0XDMtJn3PahQ5sSXra0n+qqiEYkaBoSnPghuXhtInguPwJ3qiaCklt+T6IXOtDdcKK\nmHDSHIZhYOdtLZa3qf80FbKmQNd1MAwDgeXzJguls3TG55cCNxmy83Y8e/7jeHn76/jmp2+t5Qca\nD2JX7W4M83V24UhCCCEkd6644mpcccXVaa07cuToNmfrdLSjR4/i5ptvxpIlSzBx4kQAwMiRI7Fp\n0yaMHz8e69evx4QJE1Juo7Y2mPL5TBUVeVBdTVk/7UX9lznqw8zkY/9FJNUaJhWNZRgExPy6SW9r\n/wUjEiJKy4CIjRfgtOVXOlHiAsPJg2rRrzMLG0cz6rNIMcva0n+pt5tf50VHyfXnN1lQKH9CjF0Y\nwzC4ZfTP8NQ5y3DdsKus5c98k98Xp4QQQgiJ9fzzz6OhoQHPPfccZs2ahVmzZmHu3LlYuXIlrrvu\nOsiyjKlTp3Z2MwkhecCcujmshBFRpZwXgm2vdNrJ80zC1yZb3pVIqpJyeT69j+2tr5KrorqdWTuH\nxKKMmyxy8A6cM2AihvoGoXzT0wCAY6Ea9HT06OSWEUIIISQdixcvxuLFi1ss/8Mf/tAJrSGE5Kv4\nTARd16xphDsjEyHZVNDptpNjWYCVEIhEoGgqeJaDy2YDx9o7/FiyjQGQqIIPg/x7HzPBsRw4ZLfN\nuaqd0xlTl7dXfFs7K7BHGTc50NdVbP29ZONj+OTQ55j378X4qmpLJ7aKEEIIIYQQkg3pZiJ0RDZH\nqqmgU7UzevrvxnAIQTkMngfsIgeeByJqBJIiJXx9VyIIiW95BYHN24ySfMkCSlYYOZ2Cycl01tTl\n7ZGorZLaOW2lwE2OzD31DuvvN3e+jYgq4ZXtr+OudQtw17oFULTEKXuEEEIIIYSQ9okORkQkNWfT\nWaeTiZDNG9RUN/Kpgg/J2qmoasz03yE5AlnRoGqxuSlhLT8CN9HvaziipP2+qpoKMDo0Roaiy9Cg\ngmUYiAILGyfk5WxM+RTY4JnEWTDRy9v6meuoYFk2vgvyKbBHgZscGeoblPL5X3y6vINaQgghhHSe\nmpoazJx5NSKRSKvrqqqKxYsX4PPPP+uAlpHuJl9+oe4KumtfqZqGkCQjpEQQViIIKRGEJDknwZt0\nMhGS3dzJaf6Aa75PATkAvxxERIkgokoIySH45YCVDZMq+JCsnWpc07SmbahqbOBGy4Nzo8X7KofT\nel/NAAgLBnZBgCiw4DgdgsDAzhv1Y+L7R9WNPo+ocrs/G5l+vtobLMjF57q12jmqpsUEADVdhyRr\nKd+bjgiWqZqGcERBWIr614aAX2tt6ozAXrtr3Giahocffhg7d+6EKIooLy9HWVmZ9Xx5eTm+/vpr\nuFwuAMBzzz0Hjye/pr3LtQtKz8E/D6xP+JxfDnRwawghhPz/7L17rG1Zdtb3G/Ox1t7n3EdV22VM\njDtGbRvbmKRxYuIQ8bA7RhFx1LbTalkBHCEcBWSToECwIwcnWNCxIYFgDFYSJy0IRBgBMsIiyPiB\nQIhnQ0exG8c4oZum1bjrce85Z++91pqPMfLHnHufc+4999atqlu3q137k0p1zj5rrzXXfKy7xje/\n8Y0jni3+3t/7O/zgD/5JXnnl5Vc99hOf+Bf8gT/wXXzqU5/i677u659B637ho6pSil2Wvw3SfCx+\nAeIXkk/Fm423Sl89DY+LB8+RcqVUpZpStWAYgmCsuL1av442PnoNBfGHfruKq0qERwd9NzmuXL+n\nopmiShDff2+fBYl45zAzprocyIebriXiEIO55gf62eEeICycONT0ocpS7i2wfpZcyFcMhtWMXAsu\ny2OrQl0lOrx4vG/3IuIOc+3qOFarh+tEF17X2ng96+vBeVxqufFZ/Tiy4M1c14/zzinl5rlciuGH\nm9fQ4+br08KSKqlcXkPNSMUQqZysnvw6z6KtT4rXTdz82I/9GCklfuiHfogPf/jDfM/3fA8/8AM/\ncPj7T//0T/ODP/iDvOMdb19j3m/8wq/jG9717/PjH/+bvPuFX8E7Vs8hCN/2k98OwP/5z36MH/ln\nP8oH/p3fx93x7UVqHXHEEUcc8cbwl37uR/jHn/q/n+PsFpYAACAASURBVOo5f+Xn/Aq+8Qu/7rHH\n/NW/+lf42Mc+yu/4Hb+TZVn4Tb/pffyFv/BXbjzWOeGDH/wgX//133Dj369it9vx7d/++/izf/ZP\nva62H3Ed+13Q9rOx1Iotxhg94+DfkgTOGwnkH7dD/bTNOj/T8Vboq6cRZF49R7VKqYmzaYd3DhHB\n9XsxjF2eORmevEJPO39bQ6kWlpxRU5w4bp8MrON4ONd+zioGBlkzxSpBPGqQuxrhkvgRRG6u1HT1\nnopWzIxsTb1QrRzu1fekCTM9XOsmEkkMFCU4R1Frx2NEVkTnr5E0YxjY5i1qylILgsOL5yS8dsLr\npvt6IyTd46pCnTA88vxPopa4Oo6lpsP3EWOpCTMjucJpWD9Rm1/r+rppLRQroOGh5/TjyIJP17p+\nkOirnWQ0M6p4tAq+k5lNjWN4LzeaRT8qLev1IJebx/5Rnz8KT0LQPiu8buLmQx/6EL/m1/waAN79\n7nfzUz/1U4e/qSof+9jH+K7v+i5eeukl3ve+9/G+973vjbf2MxAiwr/7zl93499+5J/9KAB/5p/8\neb713b/tWTbriCOOOOKII950fOVXfhXPP/9kGxNf9EVf/Ca35u2F/S5oVSOXyxf6XBQRYYg8lrx5\ncJdUnGEqb5p6540G8m8lOftbHW+FvnoaQeb+HFdVEiIwlYXoAtFzIG/kNZ4b2hpKtTClyzRPNeVi\nt+BPHUOIByXCYf52PsZMmWtlKY30ybWCQfCBW6uB6ALwsHfMUhNZC2bKVBe0VlSFVAveCd47IGMo\nghC6R4v3w6FPrpIXxSq1GkuGXGjfCY7ilDEEplQOQbaiOPF4B2CIQAzhDas1ngZJ93qrQj2pWmI/\njvtjr84paOli+2u8Wptf6/q6aS0E5yl6SdDtyZAgLXS/ifgya/5EDyvE3tx17UQO5E1LM2tVyQQo\ni+DEMfrxQN4AmDpicE+lqtQjSbtHHP9ordvVc17/9885j4kdrjH4iHf51U/0lPG6iZvNZsOtW7cO\nv3vvKaUQQmC32/Gbf/Nv5rf+1t9KrZVv/uZv5su//Mv5ki/5kqfS6M90/Ouf/cv5v1766cPvH3nl\n/+Fbf+L3AvD9X/29j2ThjzjiiCOOOGKPb/zCr3tVdcybjyd5BTriWWL/wrlbMk6EqnrtvWL/gr2X\nsT/qHHu1DkCuSl4qQ3A45w67pq9G/jyufWpGa4ohImTNeA/eXX8HetJg+9UCtKsv93NpO/Rv1xSq\nx/XVsyrR+zTIo/2x5YqPR/COqVx+PuzTYcLD9/xq96pm7NJMrvmQctX+7plzYQjxcOxNwfeSC0vJ\nmApNjGOUWlhSAHv4Xb9qJdVG5iQtXMxbUikMPuAksJQC1Rhju65hmNphTd+UzjKnxJzqgbw1IOVG\n1ISVR5wi2j5XrUTvWIXVtXX9RhUbT4Oki9GxpIfP82pVoV6rWmK/Nq7Oqf3nT9rm15pac9OxXjy4\n9p3LlLnQU+RuJr7UuPbc3j+nx+HNfc6FIKTc5mCq6UB4heCa2XUnGddXlFtqhnfhkQqkJ30GPY60\nG4JnyQ8rtYbw+P548N8/NYMqDNF34vTTl377uombW7dusd1e+rSoKiG0063Xa775m7+Z9boN0Fd9\n1VfxMz/zM48lbp5//oTwKh35RvHCC2+NdKTvfM+38f4f+h03/u1np5/hnXc/j3c+93nPuFWvjrdK\n/32m4th/bwzH/ntjOPbfG8Ox/y7x2Z99l4985IwXXrjNhz70s3jvXrV/9seM4/iq51+tInfvro99\n/oR4kAgxU1xPFVEzlqwMQXA9EHOdxHlQ3n4VD3oWlNoD4WoM7vpxjyJ/HmybE0GlsEuJUktrrwqD\nH1jH2FJBlGYeeoW8edJA/nEB2sMv9/bEu+dvNTwNYuVxaTXZno33zYPB7V5RAPLE97U/x1W/mCFE\nRk04E1LNlFoQb0gdycGz2l/vCVQghh6IlPa7UbTgvDxkcHrTPM21kGtlcANDXyhqypwX7m0vOE87\nPI7gw0EdIyIUrSxlOpA7WSuDb+mNqWZQOaQxeecOKp+bUOvl+r0KrTTyKQp+aCeYSwtyy5VUrEfd\n22vB0yDpRh+xeF1Nsq8K1aotXf+beMVQRj8cUticvPrc2q+NBz2I9kTPk7T59ZJFDx3vImOfN14e\n/vtDJJI64AYSS9/stFjDXCFnZZt3BOcZQsA7ofZ/h7IWribcuSdIFYRXfwY9jrQbh4Cap9Q2niJC\n8I5xeHx/vJpnz6cTr5u4+Yqv+Ap+8id/kt/4G38jH/7wh/niL76UOH/0ox/ld/2u38UP//APo6r8\no3/0j/iGb3h8fvu9e7vX25Qnwgsv3ObFFy/e1Gu8FvyJr/lDAPzv/+TP83c/+Q8Pn3/f3/3gQ8e8\nFfBW67/PNBz7743h2H9vDMf+e2M49t91fOmX/kr+9J/+M7zvfe/nl/2yL2W1Wj+2f1544Ta1Ki++\neME4vnpZ2XnOnJ1NT9znb2eC58GdwVTaTvoQmvIgl4rIdcIl+PbC/KgXZ3iY1DEzqlVSraj49gLc\nlQdP2rashYt5opIwFaZUWppDbKV5nRfMrL8cX7btSQ0gH/QbuRqgLfXmefe0vR/eLLXKngDLWqha\nDz4pr5dYeVRfFas3iuj2/fRGVEsP9o1qJfWUIAVMFe8c0QWKZmadCRIOpMZlBZvL82hXnIjIIdD2\n4rgz3mbKO8wKgx/wEkAg5UySxBCGlkJ0Q1qJyP5elVRKMzc1I/hL8lOktfVqW5IWPO6aUkUeyO/R\nXtIZmneKakV7oG2u+dgE51nK0r8mBBeoVgmuten2cJvBRQbvDuvQPYa5ceJuNEJu6irl6hoWkWbs\nXAvq3GWfOLrXy+ub12/E3PXavHEQY0u9Wa8iy3bo6zs/8KyplJIZogdP6x/hWiWkh6/T1thcMnNO\nzHWH945ViKzjpQLpSdr8uGfRTXg1oudJiS/BEX04pL7t54e8iUWkU0lMdWn36R3Bg3NKm/iC94IW\ne+i5EsLNc/ZBImZP6C41swrjQ/34uL7x3rEeoRT3mlJ8H7Wp8bjNjmeF103cfO3Xfi1/+2//bb7p\nm74JM+MDH/gAH/zgB3nnO9/Je97zHt773vfy/ve/nxgj733ve/miL/qip9nuXzD4LV/6fn7Ll76f\nTd7y7X/r91/727f+xO/l+379f8dUZn5+9yLveu4LPj2NPOKII4444oiO27dv8/3f/z+/pu88yrz4\nJnznd/63r7FFb188uDO4D9BKNYboIPgun2/kyNXg81EvznDdswCauWnRciB7bF/R5RHnqKpsp1Z2\ntfnjKHNdOF821KKsxthTR2BKhSCJE79iKanfQ0ScUWoL6LemiMAQHMH7R758P6ryybMpPfvGfDwe\nRfpcJcD2AVlLU7tUJr0eAuqmvsrlZs+G5p3x2lRLNxEs+zErmsm1YP3nucyICKdyCmKHVItCxZu7\nFtQ+2MeLZlQVNSW40BQKYlyk2n1kGiGxr8Q0a2JgoNT6UDrEdimoTUQ3sOTMojvMKbs5MdSRkzE2\nMkCEGORaW7wIuWYgHu4zBkepl6FW0b0Pj14jThfN+K4QGvxA09NIWzt4xjCw9msSiSABR8BqI24Q\nQR4TiDavn0ip5Vq6V3QBcQ8H/rmUQ2qlmjGl2hR7Yb/2XztZeBMxUa0iZsw298pXgun1ABvsWh9f\nJWBWYcS7Tsh2pcm+kthSmydR8KvDtR4X/F81od77GUVZAZVSoXq9VknscXhwHT+OLNrj1YieJ01t\nzGrdT+a6LOTqXNsfP+VWLvxJSbibnk8AU50P/+5Yf05XVcTVTmQKBIfrlMP+34NihVz0ITXU1Wpa\n132G7Ma592qkoHfuNatkHvz37+rnn268buLGOcd3f/d3X/vsXe961+Hnb/mWb+FbvuVbXn/L3ma4\nFU9v/Pw/+xv/1bXfv/NX/Rf8K7c+91k06YgjjjjiiCNeFX/5L/8l/vpf/2sPff7bf/u38eVf/q9d\n++wjH/kp/uSf/L6Hjn3Pe34D3/ANb88iBm8EaoaqUmpTDeSizVjU7V9ahZMxsB6abP1Jdx2vehYA\niHQ1g3/gxfUG08uqyrRUdktuqVsoJhXxpe3ma+V8zsxLBfNE78EiTpRpsRbIp6YUGjvxNOfMUhMO\nZYyRMY7cXq+IEtkuhWluKoYhBm6dBNZD8wBJJTPnwpRnnBPGEBjC5avv0yjnut+pn8qC9L67mur1\nJKTKg6TIVcVJrU1h4MVfU05cVSY9LQLqpiCoqlErzPbk9/fg/eSaD4Scd46i+yC7MviI+nbNrAUK\nB+Lgaltu2onPtWDajE4dkVoqiYJz0vxAvHvgO0rKicEFppSuVZ7KWpnSjBdHlcQ278iaWcXA7ZOR\npRQqQnQjqzHi3PW+8tLUHdUUj0PEcRrXeGlzXa2Z/QbvoKds7NtUNOP82NUximEMfoWTFtxGH/o1\nAqrgurXO3sNkT1DdhBCEsUbcA6qL4IUYw0HxA2DVEVxkP7ytf1r/PohXm9cPEndtTjTFGAh+TzCI\nHEi06ANe/OG+zJVDW65WKkquUPVSaSk4nBNSaeQU0oLszbJjqROKEr0nugGz+FDwvyfAl3yFJBIH\nJhiVi2XHLVkf+vlRJeKflLx9FEn7qP580tRG7yHlAp5rRsB7kv71lSnXg1fTVbPjbNrTc68THNEP\nncDsmjERVjGw8qtORFeyNmXf9dLrEe+4Vk3rqs/Q1Wf11bn3NCo+Va0smnq7BYdDLFzrQ3j8Zsez\nwusmbo54+vgTX/OH+JfbT+HE8fv/7s1pUn/w7/8R/r0veA9f+Yvezeee/qJn3MIjjjjiiCOOuI73\nvvcbee97v/GJjv2yL/vy16zWOeLRMLOWykGvHlWV3ayMgz8YCVc1nDTjyieVinvnGCKH4MQ74WQV\nHqoqdQiqrgQyc6rolRfuvN/pVwNRztOmtbkKXrryYTlnyQlH96xYhKkUvF9QCnNZqFaIPjbvHmBJ\nhfWwYpra/aspU1l45UIZRo9WdwjEwcBXvHfcPVnxfG2bZTe93D8qKLvpmFyVWpXQ07ya8et1Ncw1\nH5dHBGxXSYl9MFNNSZapRRCEVRyvpQRd3RF+UgLq1VK5xGCu+fB3MenEkWfJjXyRLKxHT8qZi2mm\nmnIS16xiOJj1Png/LfWnpXqdhHVLvdMeZNMqHRmGoWRtZaiXpKgaOTZPiuGBiKVo7RXTWv+OPoI4\ncsmcdi+tzbw0IkUcQ8yNJDLjYprZLDNqldNxxehXLDkd+nLKE6pGLXCW5q7uaIH8yTiyCsO1AHh/\nn4cUFT+0vvWtf4PP5Ky4ai11xSmIkWpiqUsbCxcILhKcQ7uJ8SquGFyrKmUGo18xeN8UTFdSYW4i\nVvbwrqWLOBFSaZV+YnCMg+9kw2VlHwNWYbgWsM5luVF98DiysGplLqmn91XUCjjDixBdINWEsVcs\nRbq1Tqui5C+vnbMSQlMk5bocfH0AUs2HVD0nrX8GN/S2GbsykUpmV5TBR4oqFoVVT8m7GvyrGblm\nzqdtJxULzhuYQ5wdlDMammmxs3hDeWtlzpmq2md1Uzc5ETRmRnq58W40fKkwqhiZ6DzBhYeIoAdL\nzTuRw8+LzoD0dex61TGYU8ZLU7itRtfPpWyXdFBB1nqdFN33xdVn25wq85LZ5QVMcd4RvHC6Dgw+\nUiX3lE3rBO/eKNvjg0c09oSpAP5SHXi47pV/J/a+SleraV0lha4+qx9Vyv31pPJNeeFsN7OUpbXU\nt3MKBU8jzpdUMdrzCFdYDQG/ahsDVw3KnwWOxM1bDJ97+jkA/PGv/h5+509+x43H/LWP/jh/7aM/\nDsB//GXfxK/63K94Zu074ogjjjjiiCPeGkilcrZJzKlQ1RhCk5uT4EJgNXiid4fA/nHVoA4eD7n2\n1CojhsBqdETn2M2F3ZKoVXFOOFm1FA5HoV4RQyy5YAbeQe27qqlmpjRzofc5386IayqSSEHrwJQL\nRZXTtaMS0OI52y04p/hobJcJgCFk1GAdVgiFzbYwhLHtCpeFeVFSLuyWQpVE8MIYItE7nHecrD21\n7PisuwvzYsxWyCU1byBVlqQsObeAWxxmFTUO/XDrJBJcoGihFDjbLtTaAsFhVFZjwIm7pobR7mdy\nWRnGP1QZ5pqypHu/LGXGMJxGRDxzWViFkaItHaRaYacZEeEknCAGQ3h0TsB+t72V682U2oiHdVhz\nEtdUrUx1oWhBTXE4tAreRbRCrUaulSUrn3xp4l9uzthsFmIQnlsrUxg4XVWiRM6WiTmnlo6RM0hl\njAMxCkUzS86kWnAS0Oh6sN4Im11a2OwyWQtRArlmZA4UVUqprTrNOOC8Mi+VUpQQHLdXjiG2oO9s\nu7BJlc0yg2lToIlya72CGkCVkpViyvnugttDZZsTwQlDqNybt5RsqDZvl1vrpi7wIqAD0U9gRgye\nEB3iWjWoFod6cnKYKIP37RjvGVeRW4zMZWFXC/enC86m1k+jHyhx5u7K431k9KBqpKRNceMCp+Pq\noJqx2ogbNZi0stHCEHyr/lYqpkYInlvrwDh4TOUQiJtWqglOjNCfDePQ1sngrlegg6aYuEln8CBZ\nOKXMK+eJ3ZRYSgKnrMeASaVUZcqJ4GCMKyQUxlBZ+RENGbHQ10EjAJZcmVOrquV8Ba8Hb66qMLjA\n83NiqZkT55lL4RMvXbCbCgiEoVKYUTEudltUm0rsdL3m+aGwjmu8d9xZGcF7zqeFzTRxPi0suiCi\n0D2kxCuDRIRGgtdSGMPIc+vbnAwDhnB/m7jYzMx5Zk5NTebEsV4HTsfAODhO1gMilV2amUsGE06H\nEbPINFXM4PZqzenaoxbwvl5TQ+3TxNocUBC6H5ExWW5kgzT1pVkfH4XdbNTBmFPhlYsdtbY59fJ2\nZrvbgQjj6HjH+g6Yx6ySK1xsFs42C0UNF0sjVEpBRfEeohO2S8KHgJOCeMfgAk48ITjujHe4tW5J\nf0tVpiWBVHZ5OpBHziveRXKpTEvBSqtC5b2xHkckLMTY1C+YIubYLoW0ZKIbGQfPO+6u8E7Y7No8\nC964dSKsB08qhe1UWXJL213qwpQXalGiG4g+sssLS0mU3NZO72aCd6zjGjPHlBamlBGpnKxW3D0d\nWN2fmaeZ526tWcdXL7rwtHAkbt6icOL4Y7/+A/zEP/9b/OrP+1Ws/Yo//KHv5+MXn7h23J/6yJ/j\nT33kz/Hd//Z38Fnrd3yaWnvEEUccccQRRzxLpFLYTC2VYkqtoseFKXdujazGwBg9KbcX5Fxr96Wx\nRrwIDDEQPATvD9WoisJuvqokKKQizVh4N7dgsrQgY5odz9125CysoqNYIz3Op+ZXMvgB5+B8t+Ui\nbynM4AtZFwQheo+Jw3xmmpW5Tuy0mdNqdUw5IeYI2bHNM1j7DixYFNSUi03hudtNwbGdCufbmarG\nvBT8oETvmObKyTqyCp6dCik4PvbJme12JgAXU0L77niuzeui1J4a4GCInugHBu9ZjZ4YHDm3KiXT\nUnGu2QesBsedu5UxeKoa6xxQp4griDaD5OB8C5YtUFuMgPcZXGVOLXgpNVFdYTW6VgbaX3rPFK2o\nKbu0kGwi+NCvp+xKI7e8C+zmlqq2nTK7uSlJcskQmvdEtUoM0kmFxO1VQimIAydtbs1JWWZIizGG\nFbU2hchuzrx4/x7youNst+Dx3L214XNu32Lwkedvn7BNW3Zl4mw74ZzggxHHmSgBZGJZCvOykJKj\nogwucufWwN3TNdtpoprhcOzKzMd3rzCXQpQTnlutSbWyXTLLklHnGb0wxoHnbhVG70iaWLIhGKkU\n1GfUjGILnh2ffecOJ3GkmrCdCsELsypzKagawQmfvH/ONjeV0K3VilogxIpWYdmdgTrWa4d3innD\nKATX0sA8gQsyZ9OGXBNDWHF3veIdd07xRO5vJ14+PyO5yiv37lNEGX0kSmC9OmMVRpaUmRcIDJys\nA7fWkVdqS7mq2tKchuioFXJt1XO8c8xLYUmZotZKZ4tw51bkzmqgYixJOd8szLmi1VitPevBoyoM\ngwerSDBWoT0Tog+YCRIqY/Ttv6E9W5wYL21mLnYLm4vES+e7RtQq3NudkWrhdBUIXjE8EkpPWWpq\nl5Nx4HNu32EVR06GkVKNaSpcnFdevlgoVsm6EIPhRsOLMTjPyWlgdCuW8gqv3NviSuDeJlHIeO9w\nTtktC4VEqZmFGdfXGzbxwnOJzzq5yxgCu7GR0D9/74LzbSNtisy4IIhCcQtejGLg5CUCA4OP3DqJ\nnF1kyiJMi3G+S5SuxtjljNVGinkRnrszcjIKt05HVJTtckFKTUkS8Dgi47AiOM+0a4qVWitTKcQo\nnIyO5+6siMGz2WYudhOoQzzspoVNSoASg3B6suJkCKgKTheWxViysd0mVFpFpLwU5pK5dSdQtano\ncjburiciI7spcX/bNgO2S8bEQCsSlBg9MbaUNAyGCCdxYMlGojAE4dY4chpu8bK7T1W4dRLaMzQ4\nqlQgs1sKqVSqZbx51ByqhWmpbOaMSeZkNXCyCpyeBNbDQMAzT46XLyY8gcEXohc+9cqO09OB0zFg\nBkuq7ObMyUlhngvbKbOdFl7ZnnORZoZRWPnAnIzthWICMcA2ZaaUKUVBWopxVSjZsY5CkUSqShDh\n7ukJihDFITiGu/GhjZA3C0fi5i2M4AK/4Qu++vD7d3zlf863/sTvvfHY7/o738PvfPd/wpe8o5lA\nV6380/v/H+967pc+Nvf1iCOOOOKII474zEFVZV4KL58tnF3Mbde1KKU274jNNjGGyOkKplRZUiUE\nR6nKbs7kqmDCODjGGHjudiTXRlZMKSO4Ltl3lNqImlfOZ4bYUo+qGq5X/8kLFFfYzopSekpWZTsn\nUrlgCDCVmWIZc1C1gDeseryckFmoFOZaGNzAvCj3lonzecEQBiLP31m16jtVMG1+N4KnWuEizWxe\nmkmWoMKcQCy0akVzK5scXVMRDcEBM+swkrNju0lMOZFqJtWKQzATvHhSN7zNtVKrcPtkIDrPVBI5\nK+vR4wiIE8wKYHgXuHM28jmfdcI7bg89NWFqahVN7NJMzi3tZQiB02GNiHUDXs82zxQ1pmVH1kII\nsBpbVSVo/jzBRjBPlRmADTtSKTi5z8qvoXp8XTMnZZoTZ1Mml9rSRCgUXcBnQvRYLeAcw+g4GRyr\nU89z421iEDZzYpkS9y6UaTKWmpv/hFYuloXNJuEsUFQITnjx5YmXbi28cPeUiykDiRcvNhSX0FqY\n8kTGiHigVStatLKkzCqsWfuB84sVnxzOm+9NDKRUDylxxRRvsNkVtMI2J7bb1FJnnEOqA/cKbnQM\nzqNuIUgkhkDAiKMjhMimFCILG5/IRbo/DlRbWIfALs+cbWcWm5nZMNWFFzcOC8pA4JY/JbodQSJh\nK5grRB9YSkJxuBoYgmuVdmZYLDdvIoRI4CQOrPzIi9MF1SoXmy3iKkWU9RAZYqQUZZpaypDXyBgi\nIq3PoqxYj54xRpwYpTaiyXkhlcTZLpHNcBjzUpmm1IyIfWAYPOOJY54ym83CtLSS4Ccngbt3I+Pg\nCKLMVpF9hoo5bsUTTleB9ao9L1StK1gaCYkZn3hpw8/fnyi5YFRmXYjBcXYBiyXQSpVGEjjziIAL\njs++M/P8rVUjWOvMtM1sZqHmgFTBfG3qtVEZBqMWYRwiMey4HWe2cyYtStLExW4HojhaKlkqpal1\nMPATpSpRAlMqvDxM1NrKRIs5ai1UBbWCuYIEqLVi48zoI0rFzDXfm+pY+QB2ASaUJVBTe/aEUKko\nqFJxnI6ezVwYx6ZkWg1G0r4ea2FW48SdtDnlR1BHrgtTbgTr6WpgHSI/9y/usZl7aqDOoJ4lNRPp\n9doTBohOWV66YHCOW3Fgro5aKqhwb7NgFVZrTypKYSFuhWmbcEFw5qj1PsE7dlPzJXMYZxeVORsR\nwWIhAgSHOEE1I9p8nWIIrGKraHUWCqYLEuF0jKxXAdPKJi1UbWlrLggeQVGEQvAwVWMpiSUnVBMa\n4GSMrF3k+dtrTuIJ241gOWIkmhkWXGxnvHc8dzpy63Tg7jpi4vi5j99HVdmmyvl8wb15Q54Lgh2e\ne9Nk5NTWkfctqUuAJVdOVpFplxEi4pXqF8yEGD2b7cLd22ueP13hg+NOqpysjsTNU8OP/oOP87Of\nOONb3/vLH5IAfqbhT3zNH+ITm0/ygb//Rx/62x//8P9y+Pk//MKv4y/+3I8cvnPEEUccccQRR3xm\nY1/9JJdGyJRqLLmlkExLU9WYNFPicXCUXPDeE4CzLn1XVap2n4JQUDPioJSqnG8TwTucJMYwAo7t\nnDjfzoyjNBNgaUqNXCaKJWJwzHlhGJpKZrcsLClTq7LRLZ7AKnjWJ45datWtsmVUMveX++yWTJoq\ngzsBHUhkdnPGI+yiIptTQmzEUtLK/WpE1qDCyIpSHbNO7EpGl9hKSIdGiMxzgtpe7G+t19xer4kG\nr5xNvHS2oVrtBsrCkpvRRi2FrFB7GWhxjnmeUGeU5InRMS3CLiUchpdIjJ7gEi+fz3zq3sznf+5t\nxjFzf7dhM7Xy50oL2GpphrjRDbjQgq/Imhgc+Mp22XGxbFpQtoqYGrU0v43gV6zCiiltyVZQLfjY\nyIcW3AeGeoclw0v3J1RrS31ScL4SxgIO1idt11ytoFKpNSPOc3t1C8EIeC7mTMmJmgO71NK8VJtR\nq5nhdECIrP2IiONilzg7X6hUcBUoVL/gvJFSRhG8GMkEVUfJClRiKIx+4CTMqFQktEpIS1rQ4nqV\nGsGRECJVKykJXkCqJ6PUmkEUwXM6Bua6YLLr/ieK9x4nMGni427LnbtjUwJZQIvDeWMMA586P+eV\n3b1WmtvPOBRHpqAIA4GFAG38Bo/zDqlCwXAGUiLVKlvdMrqRbA5fY6vKZU3tJmVEWRDvSClRTBkG\nYRgzWgtmHuc8lh1iM8tiOPGs14HodkQvrAZPl9VO2QAAIABJREFU0eYMVGqh0LyWUi7U6nGuEZ1a\nmxGycxWT0ogNBzl7SoFSYZgd984Dfkys10JWBfNIr/rmOWN0KzDH6WrF3Vsjq8Gz2WWSVe6f7dju\nCrucqEUoNoHXXhIazMAFWOoOaGlbJhDF8/L5zMnKMYaI88Jmm5nngpaWLgnCejViWhhXDu+VQktj\nW4WBs/OZJRv4ljqUa2U9tvOjhvMwDAGtmVQy1Rz3tjNj8Hg3kpLiCb0qmeCDcLICE2FJCwuJ1ZCp\nGL7TDGNwTGHEciXnyjw7QKi1PXtLLnjn0WKcB9+InKF5bcVRQEpT9lTDe88dd5vgIzW3tNJaHbnA\nMMBJCKzGyMWuKa1icCxpx3ZyLCXjafdnfsaNMDDgzBFjQGgpnEEGXrw/A4adCVLBhoUQHJvdcvDO\nqrWpa0oRSm3qu3kHNQesBnCKC4pZ80uLsXAwT6PNs9MxsBoDpp7gHMtpYHl5YqqetMx4NzAGwTkI\nMeBdJasSHexKIrktZkaxRLGlqZZc5Nb9kRfuPE9NK2K9TVoWdqlVOpxT5mQcqXbCJ++f4UNLw80Z\nogS2S+KVzStMKZF1r44DzJNVkTI0c3+viDYyUxycX2SWGXAVtfbsDLF5VC0+8C9+/pzpVua5k/XB\nZ+tZ4G1B3Py5H/+nAPy//+bn84W/5O6nuTVvHJ936xfze/6Nb+MXn/4iogsPVZ4CDqQNwE/887/J\n17zz1z7LJh5xxBFHHHHEEU8ZpTQPiLPtwnZOTKlQipFSl5irMQ6eOSsvvrJDvJGTogb/8uUNuRre\nO4LAkiPBw8+fXfDZ7xihwr1NYh0dLnhORgUN7HYL5/PEUKWl3fhWennlV5Q6EkeYy8ypRHapqV92\neWHKmcTCKgxocZRJ2NQtZi1lIs8L5+WCXOlVZwJT2mFUcGAScL5yoYWxOootzZujOqZSqOawtGkG\nmFLJLORiBBcRc3gEM0dRAbFmglwKppmkuZFYHrRkqiXOpxkrYF7xrFBVTAVMcM4IQVD11JJbJSAp\niFQGP+AduBhwDsatcG/zCllmzneFUjMqTd0iaogHsZGVjLjoCDg8W557bs06CBc2cbFssQpu10o9\nW4XdpCypeXWYm1FpRpwDgovN9yKnzO5iTc0DVh1IplAQJyCVIbTUOL+ltStMpLlivqWhvBg2lJwY\nwoBjwEqlZGGuGbWmXpirgRQGCjWtyVbR6hH13FtlvGtG0O3aGS+CiVIp7RzmAN8MiRWggmwI4kAq\nYagEN2BWqdVTi5BLM57wTlAF8tDVUQGHIrFSKaDCtIyoCYXmW6RiiGhT4hhcuJkX7zl8dIxxBUpT\nq6lDLTObUklUPxNj8/Vp914QMpHAsPK4qlh2zLk2QsY1lQgIRWaQmZE16I6lCqiAOXQBkwxibQyB\npVZkbp5KiDB4R5o8eEedHNklwjbgdAFRvFfMCZjhhkLAt75SBV9AwcxT50gYwI8LzlVK7l4yZCiO\nWoRZIz7uoOwYFqFo8/YBB8mB80QS4pTgPCdDBKdogaUatVQ2m1aR21B8TNTZ4TAsFEQKkowMUFwr\neKdQvbGkLWcbAQ+jcyyqaKYbQ4+gkYttxYlDhtIMxsXQ6nBambK1cXdGc+6t1Oxa283hYmY7JxDp\nDWwlv50zojXiW7xiFWoNYK1yULEMMQGV3dLNzQUG8aSxlX6vU2bOmaL9u1XRPCDdJ8jMkFDBG1K1\nje0mQ8ytLQ48nh0J0xWmrpm4i6CqhNkTfFM2pdwUKkFo6sbq2OUWxIfYfKtQw68yLlROY2SuCVFw\nrKnFuqJIqMXwY8U5wYqj5IS5jKEUMuTAnB2GtKqBvoJPtIflQYpFYaGb6bT7qULShUErlAgauHfh\nMWeUpBAK4hPUptJzjIRQKZqoUpr59JgAodqESWlpqBbY+cxmZ1ADpwopK+YUM2VaMhfTwly3lOzB\naGpJKlShmpF0R3EVqFhyqEFlwQRcEkQNHZoqDPMwjaCNrKICzsiLQDZWvlJH4+x8wmol5RfauntG\neFsQN3t84M98iP/127/6M151A/BL777z8PP/+Ov+IH/nk/+AH/rZH77x2L/4cz/CFz3/Lj7/9uc9\nq+YdccQRRxxxxBFPGc1gtFBFiN6hVO5ttry8mREcqMNXxyfvnzPtWgni9SoQuj9C8MIQumHq3Dwh\n1C0UWyhV0SLMoZlL3tsoo/eczzu8N7bFmHLzDRiDwGisTEhb4d6yZTd7dnWh2MTFbsHMmHXiPpUt\nFwwSEJOW9hDaz4NfY7WwY6FyRvWeJadWHaaXiy7OMZeEQ/BESqksLG2He/YEOUFpJFEtSzPLrCO1\nVgZZIziseubc0pycTJTqOZt21ApV2278UpWaFVYz2AayR6vHIajPiDdE2046FnBDpmZwISMIYRBQ\nxYVW6hYHaVJmU8QbXluA43zBuYXoI46AM0cqRnzlHuPa4UJhyjtKMYrWliKiSlUPBbABWCAuEBrh\ngLSABXVQMthATY5iIHjMKbhCTIZzBouAZLBG7BiOREJFcR7mqbaUAmvERREF372PQlMmLaoggQJN\n8eASKRmi3cw2GOqEpmdyjbiikThi0mJAowWFLXYHlIEMbsG0VQpLJUJatwBx//5eKqhHyM1npha8\ns+bjQsXlgOJAoGKEYORaUHNUQFxGVIlDJTihzNIIDzHUFI0zVZeWQigVNUeg4CVjBNJS0SSIDpgY\nagGWSva5BXw4sJZaZv37qgGKa2okp+zLJQMtKNx/ro5ZEkaA7JpcBSEX1wgKa6k4KO0cuRDIlOLa\nfCA3Z/AUwXXSa09uaCOMmiSlGxqpx1nFsrHU2stpV6z6Nq+qMpUexCNcXOTGOwht/TiFVTrcj7Za\n3HS9TbuWW/ocqU1J4zyLNTIRaNeodlg3bTIYWCJZd4tVaYRAiRzCV7dr11YBUaiORQyoYBHJ0nhC\nAFdACj55vMDUS1Y7MVoX9bHZeRhKk144a8o7zagIyYMsBtY8t3JSqnjMpkuCw3naCT1oQqpvBGUw\nGCacKqoDPg1UM1pPzViNbUxDmxteA8EMFyBlT0Vw6lH17TgHGThUMA/a1kWB7bxASKAQValiIIbV\niFlAkhJjbqmnCZxrLl8qBTPpzxVoTs893awMfR71Z4c3OkMIQcC1dLOpxv55YVpCMwZ3pREg2fo8\nrFAz0lV3FhKEuY2bKvilfc+kkW0pM08TRYWxeBrVbwiQzPBOme63OW3ZN2K916prHGQFSa3Nzvq8\n60RqsD5WHhjaPA+5PWubG3T7fn9+zxiSYZMqqyDMc33iqn5PA28L4ubb/6Nfyff+H/8YgN/2vT/J\n//YdX/NpbtHTRfSRX/tLfjW/9pf8anZ54r/8W/8NAP/q7c/nYxcfB+B7/sEfO6ZMHXHEEUccccRn\nMFStVxJJbNLENCVevpjZTokQHTUVXvn5Vlkkpdxz8gPiDOcEMSEEz+nKI85Qq6xPmoLFO+HO2jOX\nRM3GlFNPCTE0z8xF2SyZZSmcnq4wXyibBSmRbV6YZlCf2aQduzKjVCbZoX5H6gahnoAscDufIL7t\nHOfUKJlMM63dzTvGMOPE47LDABtL2+W/EFpGk7WSuASkzFQxxO8AwRUwdigenzPeFlBBUg/8zCEq\nnJUNaKFkRzXfFBdhakGZ8xAHqB4GbQFliSClvTnXBazCOkNt52wBX0VybXFxlh7dgpmgPXWEHCDA\nXBO+NLLBRHFa8bmld6hmQihUV5iTo1QPktFQsNJf3TXRmBmD4pvCwHwrv6uKjhXwUFrgj2QWLy0g\nmyIE1wJUDNRRnLagpvQyupkW4MTUAxcaceI64WCdbSnWdqmdghoWKociWWYgDisenMN8G0ejES/E\n3C7kjOormDHVfu4ebOJ8I42ctuBfQ2tziZiDQiszXzvhUF1tQXKJoAOokEgwpBaEVdfGLniKKiQP\nxOaquydUXAE8iVa2GyrFjOKtBeW5pea0ydaJgii9LwUkgDSPpFYIyjoxsGer+mcaWxAbrV3b2hhY\nV4cg1gLyPVMScpuDnhbgOgWU4oBY2zgYQFM4oHMLvGNq51K5JJaKQDf7VlfAtJdn74Gz78eWofWn\nNn+iFHoQa7Rzu9pJEb0kWPb74yIQFnC53c+wwCCQ+xyL2taY0YmA3nYTGLv6oQzt2kInU3y7d0o7\nX1ezIU3d0sZDQGML26WlGbZSQZlaWlUtwtLIRQ2NVAhwICr6vVKVFHp/UynW1jOFRmrF0uZ/7PXM\nh7ldy0ubZ7j2LAi1rwXtfIhQtaV4GX3spSmKWn84qoNK74M+B9q323PvoAhh3/b93LVGrEiBoGRy\nu/f9s4uIlYG0v2ezdl5rKV/09UTQ9n+TTkrNdMfmNl/Nt3kv/Xgp4Mb+3LA+VxVsXy5bWz/41AlI\nj9U+Zj53Yri0OeFzq/5GI9OqSutOhka4hT7nOnFUYyPtyLGNi+9/8qWTlNrHxjqJA9ShKcpCviRB\n6eoqX9v6KWMn4Tqppw5KRNWRdkZdO5a5tDTXZ4S3BXHzy975/LXfc9Fn2snPEidxzfd/9feipnjn\n+ej5P+cP/8PvB2iyvV8AaqMjjjjiiCOOeDvCO9hOhWWXuHe+8OL5jkptBsBL5XybWbbCtLgW2wgE\nV+g/MkQYg2eZPW5oxE0xz25zRqawXlVKVqKdEN2I94KMhU2+QGJFqkN8M3UsVsAqXk/IJbPMzd9k\nx/0WCIyZKhuqFswrQiXGVqHmXi1QjYGE2Ii6pnrJcyVbpmRPpbbyyqZwUSD2AFu1bfWbQh2hTO0l\nO6RmTmDQdlAr2NjUGtrIk0WbdWkLs/oL+v6l3/rL/UH6H+FUQcemcnGANVUGw9yCj71KQgKsGqlg\nadUCN9fK8eJ7gN7TYxia8sBwFGdtlzzOaJzRPTFA825BHFDawPtyiNmgNhWDNR8QfAvW1GUQ38gd\n9aArcLEdL9IDl9hnQ+kBcQv+kb7b7VxPD8j9/prpK0NXRND7h9i+4/rvboHVrgdlPYjCX55T91KK\n3hbR1iduaeeUThBF7aRLM2I+kEfiW1Ar2nbn/dT/7psyxTdVUSMR+tjMBmNqQbqn1ad3e0UALfXD\nhaZScj0ApQfdofe30c7nE1gjZNgTU3vlQXWdHOjKHUq7fti1sa+xjduh8kwnTtR1AiH1c3UFQ4ld\nXdT7SV07xkojCcz6ePS2+noZWO4DcA1w0scO+lhySdwEg/m0/d96wExXPsh+vnh67kkjAHVo/Rtq\nH79W9rudt4+PA8idsGmeLnuFSMvd6USLhnafe1LO9mvSLvt3H0gX3+513Ym70skE14km18mmkDvJ\nOrR17/satxZwH8ZVaZ9D98eRNoc0QpzanOpEIJq7ysz6MTRSqfYQOrRy5dR+LXr/x9x+rqERhd4u\nU46oMPbvOGnrvFelwqXW7xraPdWh3Y+zNkYq/bNVO7+6K0od2u++z81h4sCimbSxrhni3L5TwpVn\nW5/XoUt4pJNNewXh0BRKBGn3tO+//ToQQEt7FtKfH740QpQ+Vw4EYmjHjrndo+zJ1K7cEj2QO1TX\nydO+zobp8tnt+jN1P1VCamutjO3aof9dOrHm+7ytoc3VuF/gneCrXVkmfT660p7X6tv68QY1spSB\n3VwRa2bP7hnG1m8L4gbgr/wP7+U/+N1/GYD/9L//G/xPv+fX/4Ilb0RaVQSAL7jzzsPnf/Dv/xH+\n63/rd3+6mnXEEUccccQRR7wBqBn3NxPbtPCJV7a8eO+cVAq7aWGXjN2ukkroiodGYqQrO/NLNjZL\nJY4gKROCsEkw+wvwO5jLZeBTep7/OMG4AE2+LkHwOuLOAiVFNMX2wjv2F3u/a7uz1nfDbf9iDNPU\nPAz63YCd9QC1B7I9PWcq0oIn8y2w97Xt5B5SPXqAZ9pIDbqSxDoBQe5qEPru7z6wDRTrfbNPqRBr\naoXYKjVhoRM3e1Jj1wIl00tVRKDds0+w7rfTcoYgdAVOXYPEFhyFue8Ql8ud7wqUBda1tTl0IiUu\n7XyutCAEd0lgHHbErZMfnTiyHqT0dJam/qDtKNvYz9GD+Roh+BYwWic6fO+7Q6BEa49fWsDl+y44\nrgXRLrSxQCBMLV1lnyZkrhMcvpE3sRM35nt7fA/+Uycj5DA/GilRYKgt4FN3SU6V2Me6Xgnu+zVG\n15QPrvad/x6ErvfkU+6kSoXUA20JTTmluSsafBsn6yYsbk8MWB83bce60gLQUJpyRNetP+jBp+9B\nv+9E1z4tabW7JLFE23eq7wqDHiiaXqobtPehdsWR0cm0/Xn7OEXafA97MspBHpoaxfWxM9fWr+9B\ndw2N9ByXtu4GbcTBfg65ekmkhAUstbmc+zwNXXayD3LVmoIrSCcg+jx0fV5aJ0e9uwyitZNb+8B8\nP3bmet/1OSwJxtqUatLn8LAnjmjXM7kk7qyrI8bpknQb9muuz72h3xva1rbrxGEZYbxoBJUFkLn1\nTaUpfXzthEVXP+XYvXB6gG/uUtUxTO17Udq5amj3N8xNsWW9vwRYxtavbu5kR+zKIoOwbf/RlWb7\n51daNzVL6XNPOvlWpJFPYduJik5s1E4Chj6nXCctM32saPMs9rG1TiRJf+Z4be3S0H2Urip09iRY\nJ2L1anwduqKmzynzbV6Gvq587n1dL9e27cf2ylpUbfdnndR0CwcH7f+fvTOPs6wo7/63lnPOvb3M\nyjgwCMMmi4KCyCKLKGqMMdFXjRiTmLyJMSbBfUHcUFEQFzQiaEyiJq9RkWiiMRq3AIKIKCgiyr4M\n+wyz93LvOaeqnvePqnO7e7p71p4Zkfv7fHqm77nn1F7V5/nV73lKkchGB8aCSQQjpLUikeBCTAsF\npDkWiP3f/A3RktRFabyoRKbpNN9qC24Ap4eonWO89lTeMbCLKJVHDXGzKb537b383vHLd3cxdgkW\ntxaxpruWB8dW4oPHaEPta9aW61k6sGR3F6+PPvroo48++tgKrB3tcufKlax3a1i1YQPrOhXluMJ1\nW5RBxd3YRpIekl68gQ4EPOQ13idDpVJgN4IZo6cIkWRI2ZIeSVCX0RBE4ou+2CQjL5KCwUTD2dTA\neDQwfU0kRtKOq0muO0gygO2EEYeOhp/oaGC0EkHgTYo94qIRa8bTi3ciIqjjznVQE4aEVsmABugm\nZULasfcmGe3NDn9qL1NN7Oo2bghZU/YM6qQGaXajSWofKaPxhY/l91ly5wkxb6chN1AXMa2BDr04\nDoWN5Q/JbUQlIsWoCaKmMRJdMmAShxFJmGRMBUlEQiLFxE4Ya9YT43E07U7aZW8IlERGeZ1UE8Sy\nStZT8fRUDUol0koi4TE4lozBlFfPSEwxPlwGWWvCwBYd+8Ilg9OORuPWVLHPajVRHohjKQmDEJ3I\nqEbdIYlgs7G90JEAa2yyZge8MdxV6mtVwWA3kkJiQSVCTplExKU20GVSB/iYiFFxzOaNQiKNsdxA\nNxFeEI3DOhmWKrUbIc0vYn+hQGoYSAapS+5IiqTWCZGEqbOkbGj8Ppry+UTK1LEtXOOmlohGpaAg\njV2ZmHPGTSi/GvezMAptl/on9SMq9nmYNA5FRVIr76R28ql/EpHVqH3I6KmNfDZRJ5XInDqtLYbY\nfpJUMEIk0kJqX4hEakN8iYIiGfqhIRLSnG/ceXyWqushG5sok9MxTZNUdbohhdLvPpEMKpFtTmI/\nKp3mhkRytpk3rojETsgjQWJKKLqJnEproE2TKWvW37SuhaQgandjv5RJTZNUeGSdpJiR2D5tB6Tg\nyt5OzEOfRTLBJ6UfiQgRILeJ/BxPhGQahnlSUXkT66AkjkPchOLGhLg+NYRfjwhLa5yYtNaaOL+1\nxLqR3KKUnSAVG5LGm+imaOqkFrL0FEZZ4x7WjeXIkoJPiH+b8gxIbeLyNKfTmCySmsinHyOxvZVE\nV1DTqJzSulc35JREsq60JBlcSsfEMWXqSJ6rpLJqyEUMPWLejeNDyUgoqOt5VFWAQXYJHlXEzafe\neAp/+9EfAPCVy+941BA3Z59wJqdfegYAr738bZz91DM56+rzADjzmNezz/Cy3Vm8Pvroo48++uhj\nC6hcze0PPcTdY7fz0NiDdKsROhYwbWAPYIhIgCTXE/yEEdzE3sg6kI8lo8tFw2tgNBlniTjRibRR\nifxRaoLYUCk4pVSRxMjHo0HTBKTMXHzO1ukev0kt0mcNSaKS0MjpmXgzzXKaOA3T4afeq5s0N8Gm\nb7lb9dbrJnZrm7zy7vTbzPj0MjVqCYhGsmnIltS+aqa6bA4mGp4DDankgeb872arORlOEO9R1dQk\nVEVP5KTZchu0E+nSU0FspszZLNcNkTyYciGxMKLTjn89sZsPiQCTTRJSyZ1hFgQ1QdI046cxwpSO\neWDi8Gpi5jR+Oz4RjkgkMqr0bEMymmrr+qvVSekkQrHVkH/JUJdElkC8pyEyGuST6irEchMS4Zjc\n3EhEUAjJiJ70/Gx90MNM7ZolkiEprIJmIvZIQ3Ql41olI50SrI3EURODx5KI1ETKBj91Hvqkzmhg\nmVAK9crUKOZ0rJ+dPPfmAM04bKYLpLIm5cemyKdfAibmjSL2S1dHNzzdJDzbOE1qjsnjOySC1XZi\n+3sdSQPrEhGR2lYlgmymtEVPuGvpSd9Lk0+aG42CplcPDVmzYNpIiDki8WOSWlGxeQgTc1cS4WZU\n/FugoInthRMY1GlTIBGASk0QrDoRVJuOYQW0mg86EemJ9G6CIjeYafxvSqJsuu7ZsTQuskRkJTJR\nJcXZZutvIBRQjjOmLBvcfDrV0s09MKd4VBE3RW742KtP5A0XXgXArfeu5+B9FuzmUu0a7D20F/eP\nPgjQI20AvrPiUv7q8D/dXcXqo48++uijjz62AiOdkltW38p9oytwsp5O49qzYB3Mexg2LAI/BGEg\n7WqSCIgk38dDa008NUmnnXIFqHLLL+qbQhF3mg2zGzo7jOqR/ZbaKCIabDNpA1HJsyn5talhten3\nOwpJ6p25xOR4GM3Ofsprcr4zlWVzmBLsd9Izk8mCRlEwBSGO38koNr1nW9DUr6lXPYlMnIH0mxEN\nYbJJ7JDJ0Om+bcJM9ydXQlxPSDCRZ/NLQ8K4Cfe95rnJ97Pp/ZNgZiBhps2DSWTuzoxgsemc0ds4\nbyY/r+oJF0lg830ywxjVqQwwvS0b4dIWyxO2c55OUrVRbR2ZOy1v6NWpCZYNU0m3RtAy7TlmGW+b\nK+9cr0cNUlDkGcfzbPCgx3E5jMpaxsI6Oq4LzN9JZZyKR/KfxO3C/KGJlfm8L/zst+Z48C3h7ce+\noae6mYyfr7qBIAG9C48y66OPPvroo48+tg0bxkoe6N6P8w/RmfayX8PClcDK3VG0Pvroo48++njU\noDbj2LCOjh7ZicTSdGy3tR5C4KyzzuKlL30pL3/5y1mxYsWU7y+55BJe9KIXcdppp3HZZZftcEHn\nEue88rje76/44G9W2XYm3n38W3q/H7bo4N7vr7nszN1RnD766KOP30qcfukZvZ81nXW7uzg7hI3V\nCKdfegYXXf+Z3V2U3YotvfPsCox0uqwbWzWdtOmjjz766KOPPnYt9AgbWbudasrtzHJ7H/z+979P\nVVV8+ctf5k1vehPnnTfhfvPwww/z+c9/nosvvpjPfOYzfPSjH6Wqdh0btSXsuWhgyudV6zu7qSS7\nFo8ZWMJFp36Ii079EK8+8q942t5P7X13+qVncOPqm7h+1S85/dIzeGD0od1Y0j5+G3HvyP1Uvt7y\njX308QjGpsrGs67+wG4qyXQ8PL6G0y89g++tuHyr7l85/jBv++H7APj12lvwYa5dMh452Nw7z67C\neFmCjO7yfPvoo48++uijj+nYyErG3Nguy2+7XaWuu+46Tj75ZACOPPJIbrzxxt53N9xwA0cddRR5\nnpPnOfvuuy8333wzT3ziE3e8xHMApRQff+1JvO6CHwJw5j9czWfPPHU3l2rX4ylLj+KK+6/uff7U\nDZ/r/X7OTz7KHx/6Yk5cdtxMj/bRx6yofM1dG1awuL2QAdvmLVe+Z8r3F536oZ2SrwuOT/7isxy+\nx2F89bZv8IGT3sW8fHin5PVIxkg1yv2jD3LIwoN2u5vo/9z1fX6y8me867g3o1A8MPYQywb33O3l\nmgwR4ft3/JAD2wcxlMWId1+97Rtceu+VW53GeN1hIGtv+cadiH/+5ef5+cO/BOBrd3yLZy9/+mbv\nX9ddz9k//vCUa6+9/G29+Tted/jfe35AZnKes3yqy/FPH/o5//LrL5GbnI+d8v65rchuwubeeXYZ\nmpg0ffTRRx999NHHbkPzp7hilLXdXaes3m7iZnR0lKGhod5nYwzOOay1jI6OMjw8YTANDg4yOvqb\ntUs0PJDz9pcfzbmfvw6AX9y+micdtMduLtWuxYEL9uMTzzhvVlepL978VY5d+mQyszVRsvroI+IN\nP3jHZr8//dIzOO+ksxjOhzZ737bg+lW/5J9u/DwAt6y7HYB3XnUuFzzjN0ftsCvx+svfwUEL9uem\ntbdOub5scE8eGItquqUDSzgruU+KCKUvsdpitUVE+PQv/4XHLzqUJyw+hMXtRXNexhtX38R/3/Vd\nILprvvCg5/Gft38TgD859CWcsOwY7tqwgo9cdxFnPOU17DO8NwDryw0MZ0M7fV3qupI3XfGuKdcu\nOvVD3Lj6pq0ibX5n+TP47oroivuWK9/NBU//AEbvPB+XT/3ic9y45iY+ePK7GbQDPDS+iv+95wqu\nfvCnM97/jTu+zR8c+LvTrn93xWXUvubqB6+d8bmZYqU9ackT2GswnqpwzjUf7Y2xylfcuWEFS5Yc\nvr3V+o3B5t55ZsLChQNYO7f9vWjNTosC3EcfffTRRx99bCUmwk0HdBZYsmTXbBRvN3EzNDTE2NiE\nNCiE0HuB2fS7sbGxKUTOTNgZLzmbYtNGXbJkGBJx8/Gv3MA3zn/BTs3/NxWXvPRT/Oiea/n7qz/D\ncDHESDlBsr3+B+/g4tMuAqa3Xx/bht8QdCCQAAAgAElEQVT29jvty3+71fee+cOz+eJLLsRugyE7\nW/t1Xck/Xfr5ade9+Fmfed233s2DI6t6n7/0kgt3qlE9E8678pP87IFf8vanvZoj93oCAJfc+A1O\nWn4sy4aX4oLn5V95LV4CF5920VYHEH/5V15HHepppA3QM6ghusHMX9RiXWc9r/nmWRPPP+nFHLrk\nQH65+iZ+ufqmWfPJtOXTLziPoXzquYtBAj+573qOXnbErOSKC55PXfq5Kdca0gbgCzf/O1+4+d97\nnz907SempXHJSz81a9k2BxHhpZf83ZRrH/ydt7N0aA8GsjYiwr//6pt85VffnPbsA/7eKcrE2fD+\nZ76Fg/c4gIP3XM6F1/wLENUqrzz6j3n2QSfz0Mgqvnbzd3nl0S/bpnH3pRu+zn/e9O3e51MPOJG/\nOeZP+Zv/ehtrO+sBeOuV7+Upy57ItQ/csNm0vr3iUvZdsifPOvDk3rXRaoyv3/E/U+5TKP71xR/j\nz776+tnre835HLRoP25fe/e0786/7iIuOehTj/j1b3PvPDNh3bpNj4recZTdOT4mt48++uijjz76\n2Gb03m7HYcNoycMPj8xp+rO9MykR2dZz5QD4zne+w2WXXcZ5553H9ddfz4UXXsg///M/AzHGzV/+\n5V/yla98haqqeMlLXsLXv/51imL2s/bmusKbYsmS4RnzuGflCO/5XNyRfDS6S82E0XqMt1753t7n\n5+73LP7iuBfv9D76bcZs429Xo/Y1r0+KmLlSvdTBcf61F3Lv6AMzfv/Cg57Hs/Y9hc/fdAk/3mQX\n/yUHv4BcZ5yw7NjN5jFb+9XB8frL3977fNiigxERbl53GwBvePLfcsD85T3SQ0R49WVvnTWfLbXJ\nWD3OGcn1a0dcvmZSLUzG+094O+/80blTrm0pv3tHHiDThvddc/52l2t78PwDfpdn7HMSuYlqgAt+\n/o/csu52HrfgAF7/5L+Z8Zn/uuPbfGfFpTuc9/b0wdk//ggrx1dt+cYt4Kzj3kwZKi6+5T954YHP\n46AF+/Pay9/GngOP4R3HvRGA+0cf5NyffGzKc1ppgkwEsnv7sW9g76G9CBJQqFndxO4duZ/zfvrx\nadeXD+/DipF7t6rMrznylew1uCdvv+p9U64fsvAgTlx2HJ/91RemPfOJZ5zXmz9bGreTUZic0sfY\ndhefdhFrVu88H/BdQQpt7p1nJuyM9f72tSv42BVfoFOvn/O0++ijjz766KOPrUNBChRs4PmH/SHP\nOWzzdsy2Ys6JmxAC73nPe7j11lsREc4991yuuOIK9t13X575zGdyySWX8OUvfxkR4VWvehXPec5z\nNpve7iJuAM789NWsWtfhfX91HHvvMTjjPY9GvPOqc1lXxhfES176qd8I4uGRirkgblaOreJ/772C\nPzrkRT1DKkjggdGHWDa051YpMr50y3/ww/t/3Pv8+qNexeMWHrjdZVrdWcO7r/7gtOtHLTmC//uE\nl2H1xI70eN3hLVe+e8Z03nz06ew/f/ms+czWfpMNyWOWHsX/fcLLpl0H+OBJ72YoH9wqw/MjT3sv\nbRvjkdy5YQUPjj3EF2/+6qz3f/jk924xfsmKjffyoWs/wdlPPZP5xTxeN4ls2lq84vA/5cmPeSK3\nr7+L+fk8rl35856r0ebw2KFlnHrQCVSdwMW3/AcvPfiF3LLuNq5/eO5jdLzmyFfyiev/qfd5OB9i\npBrlbce8nscOLwPg5rW39e55ytIj+Ysn/PFm++XNR7+aj1x34YzfPX7RIZx+5CsA8MHz2svfBsB7\njn8rt62/kyOXHM51q67n5rXbV9/FrUWcfcKZ3O/u5dwrJlQ/Wmk+8YytC057x/q7+ejPPrlN+Z68\n91N53v7PnkIibgtpMhkXPP0DXHLr13js8N6cvPfxAFz70M/53K+/tMVnX3DAc/md/Z7R+/zQ2Ere\nd835vOPYN2K0YUl78Yyutn/7xL/g0EWPmzLOz37q21jcXrhdddgSdgVxM9M7z4EHzr527oy/l/eP\nruQffvQNVq+7lXK7j5boo48++uijjz52BL23fj3Enz75NJ66/6Fzmv6cEzdzjd1J3PzleRM7vy97\n1uN49lP22alleaQgSOi9lP/jCz5IPfLIjoooIqzqrGbpwJJdnveOEjfXPHgd/++mL/c+N0qDycZc\ns3MP8KWbv0phC1500O8Dse5n/vBsRuvpu94XPuOD2xUMtvL1tHg2rzrizzlwwf4MZgOzPDV1XG2K\n1x311xy88KBp12dqv7s33sOHr50w6CfHENlYjfROw5kNBy84kFvX3zHt+pFLDufekftZs43BxpbP\n24c3HPU3PfegOzesYEl7MT9d+XO+ets3ZnzmtIP/D5fc+rVZ08x1RhW2/SSuBcV8zjlxom9mar9N\niYCLTv0Q1z98I//0y/8HRBKmMDnL5+2DVpquK/mvO7/NicuOJYhw3k//fpvL9b4T3sa7fjQRd6jp\nsw3lCEE8C1sLcMFx/+iDLG4vwihD27a46v5reGh8FV4CLzjwubzxB+/spfHu48/gvT/eduXNRad+\niH+84V/5xepfTfvu2D2fzMsOeTF56sslS4b5+JWf46oHfsIB85fzpqNP3+b8ZlLfbAn/58Df49nL\nnz5lrB+z9CiO2OPxXLfy+illf/1Rr2KP9uKeUus5y0/l+TPEsAHouC5n/vBsXJjZ9ebvTzkHrfRW\nuXHdvfEevnnX9zh4QSQxTt77eFq2BUwdY2cd/5adtvb+Jrph7Yx3mlVja/ji1T/itjU30VGr+4GK\n++ijjz766GM3oCFu5g8dyJ8c8Tye8NjHzmn6feJmM4bz7fdt4Nx/u673ue8yNYHmxfuPjng+Jy85\naTeXZscw2YiYiaxY212HQrGwtWDO894e4ubODSu4Y/1dfO2Ob0377gMnvYtBO9BTGDQ4bs+jebiz\nhjs33L3ZtE/a+/gpypsG+83bl9Of9JcMzEC8fHfFZSwf3odDFkViZbKRD/D6o/6Gxy08YGuqBsBX\nbvsvLrv3h9Ou/87yZ/CCA5875Vo2FLjtgfvYb96+3Lz2NtZ11/Nvk2KgzNSf37n7Uv7rzm8zEzYN\nFDtZrbGjOHbPJ/OUpUfyyV98drP3nbrPybz4cX8ARGLtnpH70MpMIUQuOvVD26W02LR+M42/IIE7\nN6yg4zocscfjtzkPEeGy+344Kym1Jew1uJR3Hvem7Xp2Sy5vW8JJy47jZYe+eMq1z/3qi/xs1Q1c\n8PQPTBtLc+XqePl9V/Hvt34dgD844Dl8487vbPGZjzztbN58xUQMosnuYd+663t8867vcf7T3kfL\nTrgi++DRSm8VITuZSD3lsSfwkse9YM5O9ZqsrtpZp8nBo4e4WTs2wn9f82tuWHMzHf8wHTaC6c55\nPn300UcfffTRx+xooyAs5NAlh/DiJ5/CsgVze4hHn7jZwov3X3/4cpwPLJ7X4sN/d8JOLcsjCf9+\n69e5/L6rgO1XZuxOjNZjPDy+mp+tumHaSTAfO+UcrDbT1B9nHfdmFrQWUJi5OcHjnpH7+OBPLwCi\n4mBRa8vuAhff8p9cOemo9rnEm44+nQPmL+/FItkUbdvmAye9C6tMr7+/dvu3+N49lwMzq312xA1i\nNmKiyefh8TW858fT3bEabO7Y703jNcF0UqPBpvFyNsU7j3sT77/mfM485nWM1eMsHVgyLQ7NtmC2\n+XTvyAPcsPpXPHe/Z/bc35rTlTbFgG2Tacu7jn8zla+5cfVNnLj3cdPu25kxlsbrDuOuw5rOWi64\n/h+B2MZ3bljBbevvYHFr0RS1WIMdNeRnGzePGdiDVeOrp1w7YP5+7DO8jB/c9yNg29eynR2jSkR6\n5VnXXc+//vpiblt/57T73n38GTxmYO5PPwwSGK870wJNzwV88Oy5dMFObb9HC3Gzfnyca2++j188\neDsrR9Yw0llNmXVBVyAKEDAKpAaXgRKwNRhAPKgmtlIG3qOMQgiAwjiPt5oo4wlMPjNjW5ART71w\nEos0t+GUFVRtQEB3duB4jT5+KxBIQSZ2Zzpp3vXxmw0BlCZ29iMFFpwFVYPREOq5Ge/ToEkNxMzt\nYwC/MzJ+xMKEFnkYpm0Xcuzyg/n9Jx3PQDG3pz72iZutePF+7+d+yoqVI5x/+oksHJ49kPKjCZsa\nsx875RxGqhHm5cNkJuNXa27mk7/4LJnOqCe5dDx3v2dx9YM/ZX25gVMeewJ/+Ljn886rzuGUx57I\nc/bbdYqmLakVHr/4EH695pZZv5/NuFzTWcdD4ys5bNHBeAn44PjW3d/nufs9k7aNJ9N48TPGMnnj\nk/+OfYf3xmo7zXjcnJLg2fs+naUDS6YoTQAOX3woN665ebP1bDCZtLhzw92cf93mY28cvvgw/vZJ\nf7HZdjznxHewoJi/VfnPhMrXnPWjD3DQwgP4+aqpJ+F8/OnnbjEezNYQAA+NreJ913yEQxc+jtcc\n9cpZ72tcUp7x2JP4w4Ofjw9+s+4iD4+v4bsrLuXopUdOie0yE05/0iu46Bef2eoyz4SuK9FKc/fG\nFRw4f/+tPpFodwfH7rgO//TLz/eIwskBb7cXI9UoZ/7w7N7np+51DMfteTSPW3gAPngE4WerbuDI\nJYf3AidvL3ZH+80053amamVnYme336OFuBkvK+5avYbb7nmIFRtWs2LVA4xXo9S6RpSOTIkIuBxd\nDlHYAK0xyLrxuhKggCCgAxgXjRmnIRjwQqU8WpcYG5AA2joIQrA1TgRlHIqABnTPV6t5jWwRX/4z\nqAW0J5hATSBQAwaCAjxKCbmSlIYgKLxALQa0pDQNhBy8grIFSoE3IBbEgBqHdheMB6+hMwDKgBFQ\nXchdMnpCvL+y6TuJ5JZy0SACetZ7MMl2saAdBB3tmmBjO2lS+cbBbs6YMSA6Po8GXce2ljrWY5sM\nSBWJOA1on2wsTyrYxD3TDC9LNLi29JqvJqWV2h0NLo/1ljJdagzHkMokYFO+YmIfqBDbG2G6sWdS\n/5HaMKT/M/CJYKTp+0ll81ns48aQ9YCyMT98TFeFSFIiYOrkRugn2qSxSwEkg9AGH6DWYA2E1G46\nxPGhfRoLJtZHhVh27eIYCyGOZWXjPc7EdLNxyEvAxXJs2vaSnvEK6lYiXInka6bASyynV5O6Js1R\nySaNYZ/GNSCpzU2dxnZq30C8N5g0jhObio7tqH1U7BnPtPEoBso2igwRNYkYTv2jVJxbSkOdgbdp\nPjnIqpRG+kfpmJ6TNIZTO0gaS4rYXtpGgtmm/L2HkMVy65DmUyqLKKCO40+F2NVBICeOi0B8VlQk\nsyubyuih8CBVrIutYj1Qsc11U16B0Epltqmv05ASHcdarxwqtrvxU3lvTfzH+7hmkQgY5Sb1j04s\ndxbHlxGobcwjNkRqnxB/rAPbAd2MjzROm/srFe/RPvZR0LFPpJ54Roo47tExTwQyF9NwOpZVSWxX\nZ+J41Q5EMMqhjcdqTQhCLZrgbWwD08z3NJdVHee2qFhGJNXbx7XEpjWAtOaKnWhP3azHkq6nyVCn\nsunUyNrHcqsqzeO07mgHOgPv0npkY52VmuBahfiddulDiOVFYrtJFucWadxKTFPXGYUfZLC9gGE9\nj2MOOIRnP+nxGD23rFqfuNmKF8dzPn8td9y/Eei7S03G9gbFnIzl8/ZhxcZ48skrD385d25cwQsP\nfN6Mu97/c9f3+e+7vsvHn37ulOC2kzE54Oebjv479p+3fFpan/vVF7l25fVTrj13v2fyP3f/71aX\n+8glR/DKI14ORFLlwbGVXLfyer49ByfiLCwW8P4Tp5ISn7nx3/jZJuTF2499A9+/5wf8+eP/CIBL\n771yintKQ8ZceP0/946Anhw7xIWam9fexrF7HU22SXuO1mOM1x2WtBdT+oo3XfGuaeX840NezBdv\nmT0471wak+vLDbzjqnO26t6WaXH+KWdv+cZdiMlz5c8f/0es7a5jfj6Ppy47ZjeWavcTNw02ViME\nCTtE9O0O7K72+/QN/8oNKY7Nnx32Uo7b6+hdXoa5QJ+4mRv4EFgzNsID6zayauMG7ly5mnWjaxip\nSlzoUnct2rdo5QUL20NYMWADomtUpum6DkZpXA1dV2F1wAfouprgMpxzlL4Lpoov1iZZIQaoq2gA\nmBqRGmV1eqk1iRBS0dDBpusuGixa8N6jDNTOoJQmC6C0ic9kEu8XifIcJXQIyQhKRub4ANRD8UXa\nZSifx6Il4zqa7yFyUNl4NIyUS8aVJNsxgM8RnYzbAOTjqY5Ew6Iy4NuxXKJiO5hElPg8GoR5GY09\nb2MdrZtksDXkmU5GQhYNvqxOREtDVPhoH7iQjPhUF3RMU4cJo69OxICYaGwjsSx5N6anfDKyEumk\nJdVZpb6p6O2o60TUNfX1OpIQnmjUKR//d016xLZQRANPpbrZRAQ2pIaOxqZSDlE2EiK5T8ZVIk8S\nMRiLkgiRYKNxONmQVSEadIFYZpPudzqVN0v9kWGwcZwG8Dokciyk9q7SuNRMEEYNGWjAFTF/k/rG\neqiL1NYS+1VsIq4k9ktjMDYkCIlI9AaUQYUM0WU0WHMXyYG8SvUjkm8+j6oxEybGS9PvJhnnolLb\nEH/3JpIhIZFp2sc28mmMBJOIHz+Je0u/EzBaIUoI3oCO3ICXNH7zTiK8PFoZgqjED7RQ9SC6Lggo\nvKlRusIrHxOQZNiLxvgiphdUHBtZN/WRjWVWqT2DjvUKCmxIbR3zw/pYn7wEBBsMwWVgPZmt8Aji\nMrw0m1VhUl84eqycpP4OiUzxeSIN8kSiBsg68V5TQlYmIz6RS6R6EVJZU1+7ViIxVCJABO0NQSWS\nQIW4XgRLj4ho1hFNKk8iImw3lVMl8rEhFFScO7p5LqQ1TsfxqiSSNsZNlFGHiTXH50CGkRqtq8TN\nSMzb52lNTCQ3TJDBikhKNHXzZoIgIxFCQqqnkAPGxH6TIHRV0w917GefxmRWgYp0fhU0AZ/mlUp9\nncjPhjBD4pjRzbxPpJ5LRL1r9JyJzApqIj/tJtpKJVIPM0HgBsCYmJfyMT1TxzKKSxy3nlirxEKV\nxXHqsomxpjw2ZGS2zaKB+ew9fzFP3Hd/jjt0nz5xM9fYmhfHe1eN8u7P/gSAz7z1GY84t6Cdibkg\nb2ZM90mv4PGLDwFgQznCBT//NA+lo3oPXngQrzvqrxmtxhCE4XyodzrPpnjqXsfwxylmxWxH104+\nQWnT705cdixXPfCTua3cJHzieWfzmm+eNe36/HyYc058Jz984BouvuU/pnz33qeeyR7tmX0m13TW\nsnL84V7bNbhv5AECgX2Hty9I1sqxVZx9zUe2+v4/OOA5/O5+z9yuvGbDms46zrr6A9OuN/Fejlxy\nOK884s/mNM+5xJZUOrsDvynEzSMVu6v9ggT+9dcXc/LeT+WgBfvv8vznCn3iZu4wUo4xWpaIgbvu\nX00ZxvG1sH5E8JWllSsGWi3yQsBrggiDrRZa4OGNo3TCKN4LY6WndDXjVYduJ1A6j/NCcCG6UCmH\nsUJQHkcn2byejh9LxmncodfkyWPJIsEigAseqKHOoTTRWFCO4DVa8rSDngzFRugR0m54iMqBmi6O\npB4KBeILTN0i1C0UFqPBZH5ih9ZWIJpQ14RijFoRjSSlMQRs0GhVEEIkMHRe46SL1oHKayRk6LpF\n8O1E7CQj1Dii4a+j4aXqaCSnXVutPGIq0AEVFFopvLOI0eDjZ3SFQvCSrOaGcJF4D0bi0bKicaai\nbpQKPSM0Gbx1TlTvJLVDQ9KotGOskwJFJBomOpIqWiDoehIR0CiWSM82hJNK9QV8jvY5QTWGjiQh\nggFV9nbXbfCI0mjJsAjOGWpIu/6JSFFMkDUSEgGkEhGX+r0hQiT0iISeQdq0gVLoYNHekGWKECIZ\n4EUjOiDGIUoQqdHWRaNaJSbD20TEmKSoaFQUbkKhE/KYpwrxfpfFaz6LRqFOKg3tIzEkDfFloWwD\nNl43IRnYVfxRyaBsSKOQyCcyVNDooNB5B6cECQqqIhqZpox944u025/URT1SplHnZInAaxRGBiOB\nTPtoLGtBlOBEoYNC+QKrQZTHmQ7aVFgbCE7htMe7DBNyrB9Aq5wQQGsPlaZrKiQre3XKBIw1qIZs\nAjqSiJREVETeImCUkGuNDwbloXQmElCmhiqPJKapUHhaWk0QULbCeRBvEKXwomjrgFcBLxqvXSLP\noEfgNIqJRo0ixHHnDBSjiWhx9JRRLkvEWSIsxdAjpUNq47oV55gotPJYraCOai+xFV6FxJWZOBZc\n6itvJtRgKs355vuGWDGJ0LAeFRzKOpT2eAkxbynSeE3Ek2r6PxEeQaEw6Lg6opSnFtdTU3kd0pjR\n4FuR6AiJiGoWYZXGU29upD863sRhJw7jMow1E+tEyAmuouy1fVTjGbFgOyjTjcShCB6PaCEQ0KEg\nNGRRQz4Kac1y9Egpl6Exkf9GY4JGqYyqzDBGQJfpb5SemLdIj0wFIulrfZqLjSpHyG0A1U28UUAR\nFTaVDiifoUOOFsETFXJBK1oolLIMZQvYb69FLFs4n/33nM8hey+lyOf2vb9P3Gzli2NzwtQJh+/J\nX/3+tgfs/G3Fg/4+3v+DC2b87qAF+3P7+rt6n//0sNOofcWXb/0aT9v7BK64/0dbTP91R72Kj//8\n03NS1uft/2y+u+LynuvWTG4Zk09peuFBz+NZ+54CTMRTOev4t3D2jz88J+X5+NPPZa+lC1nxwCre\nftX7qGc5yWUyPvK0s2mnk1l2B0SEX6+9lU8m1x6Atz7ltTx2eBkKxYZq405VTWx68tTFL7mINWum\nn4jVx9ahT9zsGPrtt2PoEzdzh3HXoXIVQ8Mt7n1wA6PlOC44Rkcdwefk2pBZS+U8EhQ+eJYsGKCV\n5UiAletHGK1H2DjSZX3H4UpDpi21C3RDSe27aKVQQfDa0akCtR7F62hECgFFVCkoE9BG0yoKtMvx\nlaJ0noqaqiwpHfGlWdXRgHAZKrRp5S20dSjxlLUiBKFVKLquxtdxp1mCQ2iULAbl2ygpkhGrsUZQ\nJiogLApjoHI1VdCIL6mJblpZMBjRYDNyLVRVihnRLoE6Egchx9eCsRrvhCroaFwHFQ2uoKNxp9Mu\nt9eQOawYjAKNiwoaVI9v6CaJfivkSDJEvIpkQmHiLnkZLNYVQEArQWVACPgQospBCRLMhAHqimjs\n2bQTT+MGk3asGzIIj8pLjOmidMAqqEThPem+VFaI6fhIZCgRlKnRolEodHKTEYkqAF9bgnFoHfs/\ntwqpM7TY5OaiwHnEOkpnEN2NO9omqmKy0EqiKkUeWihaiFdUOIJyZLrCmxDtKkLs65BFGy4F97Da\ngRSYDAiC0hYJiaBRnWighUYBphClCEFReYsKCjFx11+HqLBQKiqgghak8Z8IBtwAdIaASPYoApJ3\nJlQQTUfrZDx3ByFkKARp1D+6TMooEkkX3TBUIprwWfSwsR5jPYoY6yzUCp+IBSfJxYdIDBqVRTUF\nGgkKg0e0JohC1xptFMYIWk1Sd4lFdFwPtGh8lWGsmnATMokE9IraBZzP0WiMUhjJUSG58ViJBFLm\n8XVAG1AmEUZKoQxxrPiojiqDQsRSiEH5LM05mSBGvMXXCl2UoKIbZjTefXJhaxQfdbqeSAbx0OoC\nHvGWbmASgZEnlzYfiQyXo7zGaoOrDUEHAg5sGckH7Ykqt4Z0ELQogli0FkLQ2LqFdi1EQe2joqal\nQBWNi5nrESG+Nj2+o5ZIGissdZA4F20FOratVIZaVHKmi+Mosw7RJcYIomoqrwiuHUmxRvXRqJh0\ncrsM0M4dolTMWyukE6gLR8CRJVETBCRorLJ4XeHExDlWZ6Ci+DAoQXuNmNATvGjJCDqgCOTk2Ewn\n50qhDJEsrDsWh8KEgB7oYlSgDGDEk9kw4d4XdCI8Lc6H5PVpI1mtI0kHoOsc7RUq91htEPE4CTHE\nBCAuQ5lYK5RDROGcwoUsjg/Je4qw3lqnGiJLYz1kuQfjqJxCi6AMKCSS7cQ1MZRZ3HAwCm0jcZrZ\nFvOKIQ7cawHL9xxmn6XzWLZwHu1iboOu9YmbrXxxPP1jV9Apo2H99689iXkDcxts6JGKJUuGeXDl\nOsykgLVX3v9jDpi/vHcE9Wz46HWf5I4Nd/N7+z+bb931vTkt1/MP+N1ZTw5qMJsrjw+eDdXGWYMF\n/+iBn/CFm78y43d/cMDvcuiig3pH9J7xlNfwwOhDvfgzF536Ie4duZ9lg3titJky/u4ffZBrHryO\n/733ihnTfsexb2TZ0J6brdOuwurOWr5863/y7H2fzsFJrbSrsLa7jv++87u87JAXsWzPRX3DeQfQ\nJx52DP322zH0iZu5Q9d18eIZnldw30MbqGqHIIyOO1ylcT6QZ5rgDGUdsEaz56I2zgvjpafTremW\nNS4ExsZrOrUnBCFIQGmDlwqlBK0MY26M8U6Xjo9KHfEahybTULQ0raLFsB5AYdlQjyIuunOV3ZIx\n5/AuIErQxqOw4AUd2hirceIjORBsVHEER+VrgvJUoUJZH2NVCYi30YCvWmifo3TAFGBRWANKC1pb\nxrs1Khi8cvjgoweGAa0UA4UliMZ7RfCe3BpqH1BKYXSMUycqMN71BKcJ3iAYvJMYnkK7aDAkksQG\nyFoemwlZcjFR6MgXiCAi1JWgtEFC2tXvGbnQ2xWWHKMKjFNJzSEEiWXxEhUovlb45HYSiCRCMlkw\nWvAhqiwIikLl2LxCmRryLkGVaG3wPrl0BEXlAh6N0gGNIrgC7TKywiG1QhduwrXFJ0WBC4RQJFeZ\nCq0D1gLeYmmRWUvtPD4ZsSJRDRTEo1SFKhzo5JYVLJoWNrRwklQhIe7UOw8iKhJEojEuQ1w7Grra\nozLBYMkyT6AiBBMVXjopj5SQaYv3cZdfFPiujeIkDSoIISvROqSoFnX8v2wjKKyRWMSyhXGDWJ0i\nOYmlVCUWocZB0U1qnhQXJOQkdtzPQ8kAACAASURBVAHtDAqNoAk6xkJSKmCUwjtFbnRSMAmiKnRu\n6CmlvErjRHClQrSJaoLksZjnhkhqmUlufDqSVDrEMZgnhZQKCIJRmhBUVM15FQmkVoVWYNA9dUXt\nFd4FTLPR2ahOgsEk96CgK0RJEk3FOokIAy1B50LdCXQ9RP2HJXiDFksuLSQpgBxCrjRGa6rgcM4R\ntJDZOGYqcT0Fmw0Fzuno4mgCWqmo1Mjq1KHJ1QlHFRRGMrzL0QjWKoy2ZLQowgBlLThd4RzUdcA1\nyiGkRz5BILNdakmuarXB+ILcWFCKeryFUWDakcgQG2N+oTwqGETZyBsQYjx4IxTKUnZMEmiVkAkG\njSfgS8HkiUx1QHILUyqgjUAQam9wLrl8qRAVMS6DoFFoLGCHu+Qm1kWJoVvXKNu4cSVSSyCESMgG\nqdFaUdcGCQZRcS1TtUWTJ/I8CoRwWepzj87AYnDOYAw4KrQKhGAIZRK56BryGrxBgqCCgsyA8mQG\ngmhyZen4kpBiBlU+ruNZVlF7ja1akZzFkNnUXzisbRR7NqkzI0GLywg9IiygMJGgy6tY96CTy5Ng\ng8YYk8jNGjEuljukTtDJJbGJkRTAZBA8ZAW0bEErzzl0v8Us32Me+y6dz+Lhgb7iZq6xtS+OndJx\n+scmDOp+rJuIHXnxDhJwwZPHWci9Iw+wdGAJt667nU/d8Llp9+8ztIzD9zhs1lg0Lz/sNA5acEDP\njcgHz3t//GHWdNdOu/fMY17HPsN7b1e5m7S/d8/lnLjsOAZsG4DSVwxk7W1KZ6b22zQQ8ZOWHM4r\nnvAnv3FuNr8J6BvOO4Z+++0Y+u23Y+gTN3OH0leIBPbYY5iVqzZS1oGyrhkrK+oK8AEf4g48wKL5\nLQaLjIfWjDFeOqrKU7mAUeBFsFpjrWa86wgSyDLoOkemYfXGLoJHCIz5MdaNb6SuAgbL4GBBywww\nlBVU3lFKhahAWTqcL+l0PE4MEgKtXKGMRrxQ+fgSrpRgKcgkBvOvSqikBOvxlIRkjAfvCMGCLwhd\nSwiaoAPGRsVHpjXGWgpTUNXR8BuvSwJCZhR5Hl0ThgYtdQCLZ82oJ9MWcTFWgzaBoaGM2nmq0jFe\n1jgPrla4WlP5gNgag0SyAlBaURTQyjR5ZgjO4AIEJ+SF0CkdPghGWkS1TUmrUJQuqhuUGCyWXLcx\nRJJNaxWVJTrQ8WOARkJNVWvKMhrTjbeTUtGQsJbo/VCDzaEwGUUeCa2gHM7XZK1A7WvKME7tVYxz\n5KJ7RZCAeBPjM1hinJ8MjI3uVxZLqHPqukZsMlARdAZDRSt6bmQZIYB3AReiesZLNPTKUGHyijyz\nqMblK/NQGywF412PC1E9oNBIEyxVPKio9Ch0O3mseIwVMp0juiSoQHACyqKVo5ZooGbWYI2m7HrK\nKkvEWXK/MCoafKqMYg4cUmcEie+nWiy+zKK2QFuKQsUQT85Q1w7VigqiugyERP6I0xTG4LzCKEuW\nRYImlApsJK+MDaisJoigjabAYo2llDGMzgkhoJWJLnXG4ZxHXA5EpYwEARMJSiUK8Yq8MFFtFDRe\nIIhDqWhQ5yZgrFBLIARFpnKqUOGDi2athsJYMpURxOCkhuDplMkdK9jkUhYwVmO1QitL1yX3QaXI\nlKCwtHPD4KCh9kK3W1J6hwkFrayFOIP3ARUylJXYhyYa34XVlLVQ1g4nDqMUIcU8ih56GYaMQKCU\nDl6E3Fis8Xhx5Jmi6yMJrRWRGHI6qi1qwGQM6BZWFQzYgm4dyAqP1oH1Yx26VXTBCmgyLYSgUMZh\n8gp8hniNiEZERYVSijWTZQGdg1WBoCKZpJVgraEqa7oNGektubbkKqf0MUS7NoFMp0DsVHjxGA2+\nR9iVSSUS5zVpfobaUvsMQUV1FxYLkUDNAlkrMGAVNrdUtWejW5+eT8QUiZhSMKCG8VJTJQWeSCSI\nogtXjGmjlcLqSLIYrfABmrhBRtmoCtQBbR0mtVFQJV50HJ9KkCrGqzGZQysLAfIcAoE8U3Tqkqoi\nkZUglUXlSZEVckxW09IDaCWUzlP76EZltcZKTi0V1iiCQKgKJGjq2ke3QK8x1iE4REfSM7gcFSBv\ngw42rpviUFlN24JoRV3F7wwFPgXx94E4/nV0fR1oZcwbLNhv2WL23WOIZXsM85iF7V0W46Z/mOIm\naBeWfR4zxL2rRgH45Z1rOOKAxbu5VI9saKXjDkPCPsPLADh8j8P48Mnv4S1XvgeANx/9aublQywo\n5mO04dR9nsY37vw2pzz2BOYX87l13R08cY/HT4s9ZLTh7BOiW82t627n9vV3ESRw/F7HzBojZmth\ntJkWw2VAbxtpMxuUUpxz4ju4c8MKDl5w4E45irePPvroo4/fHlhlqCXqLYxWDBSGItMMt9p4r+hW\njhCi04fWQmEtPkhUWfiorBERul6iW4fA/Hk5IqC1IrOaYRWonKPVcbigGWhZFqhBBs0ggqfyQqEt\nmRogN5ayHEOFQFAeg6JdFBgRXC1kNu5id11FK7NkBhweqzOsKqIyIggheKQuaOXgfYG30X0oaIk7\nqcbStSXihZbNejv5NgXRHR7KGdclVW3JQ1Si5IWmXWgyaygyy/oNFTYrWJiXBJMTMqGVCUNFFm0W\n77FZjpZo3GZD0OlWdEoQlaG1oE3cWFEKMmtomZyB3OJzhwSJKidrsNTUTsf+8g6tc6wVMl1hMoMK\nloGsoN3K6HRqTBWwGmoPmbFYB7U4qtpiTY0k8bdC08oMdaiRAFkegzPXRcAES2ZzWkWU/AtQZIZ2\nyzA27hGfY7yPbiTaYYyl9oIxyXVHgDwau4igTUZwQlAaqx0Kh1NCrg3WBAayPLq8RScfSlejXUCk\nBQjeg7GCMgprc6RWFEVBpjQd41BeMegySucICuqgenE3jNZYJRRZhg0tRDtM3iZDcEKMa0MNRSCz\nGQ6NcdFtw2aaUHsCySBVzWlFgsakkD7t6JYUPMoqTIixMTKdoa3BVzp6QmlNZjVFHl3CKhSOGq9U\njNUSFFoTXVLagtUeqwyZNdSFwyqLEHCVJmCjoa2hbdpkWU6WVBMEjdJxTAkxsKzSBd26QrJA7aLr\nXa6yKDjIQtzk0wbvdHTXCy2U0hhl0LomSAz4q1OgY61qjDVktLFWUixeIdfQooXyOSp0qELohT0y\nRtPW0aXLS1wftI4xepTSMQ8FYGhpi9MKCQFUFl01BbTKMJlhqJ0jRIM/kmfRta5WgYwcwWHJCMGg\nMygyjYSAk0DuDcEpcMSYSmQMDBQUEvCV4L2glFAGBV7wKDKxaFeg0xo4byAnz6D0JZnKqbVCpRhA\nWmkkxBhcyuXkuSJkgnNRdmK1xZcapTU+gJFIZA22NbnWKBMVVK5labmS8S5kWRurFUpyfBld8Ywo\nskxR1VXy6FPkOkdrjaiKUtVYojrFi0aCxWvBZJrMZOA0ph1VPUrH/rEmpzCaVlvRahnWj47RkjaK\nki4xbFSMOaTIlKI1kBFcRjsIVe3RZNSqBmswGIzSqExTmJhPEI1IoHaeug4YHXDEsaODjWospRA0\nWmlCCChyah3AeLQVlFPkWVyvlanJWia62tXgbCAETWYtFotuSGStE0lh4pqjYjytIrNoLJnTkYwX\nTQW4GkRFaV1hNQGN0jlKgbGQZzaSPCqQGU2QgFU5VrXIVXSTNRqcCxiTYSwoAk45jNFkxmC1ZTAv\nmN9usWCgFU9e1GrOSZvNoa+4mQVNrBvoq26gv+O8o+i3346h3347hn777Rj67bdj6Ctu5hY+eBYs\nbvPwwxtRSuNdNOg3RVkHqtrRKR3rRruEIHRLT1W7GIhYIM80w+0MHyCz0X0hhOhCNDpWUgVBRw8g\nqjrggyBBcAFq5xEkuQZB6WoqX9PKDYKndlEh4OuKgKCtpq5ryhIIFqugU8VX0BCIJ+VqocihW3uU\nKFQyqLz3jIxXdJygRDAotNEMDOS0rWJgIMcFx3jHU1bxxTzPFBqFsRq0pq5qWrnFGM3gUE7VjS49\nuc0pWoqy6xjtlmwYjUf95plBEyjrgEmHCwV8NGCcJ0hOK9O0cos1EneNxSHB4F2g043BSCXE57U2\nZAYyrfGS3GqMwvsYzDXG7ZUYb6iO7i6BEGP31A4Ri9WW3GhcqNFGMTiYU1hDqIXKB1CWoZaKpI8L\nWBOwRtF1jrIbSS6lweSOyjvGOzWtrMCFLkp0dHDRGYhmoDBs7NTgLSKBLMsQieTCQKEYmGepqgpU\nhQ+CttEAruoKn1xzRusRlI1KCYWmpXK00tTB4X007F3X45SjrHxMB0umcnKr0UZHYx4hzyy5iYqc\nOkT3I60gbysq30HhqbympS0bq5KqU+G8RmmLcz5aiaLROrq7ae2xukVV1XRTfOdMZ7RNgTUZoGkX\nJqpoEOpgwFZ0ul02dErKDnErX1XxJCUMRkcjs2jFgK/Kt5ILYVSuQSQBhgaHKKxhvOwipiZTGYWx\nKB3oOhdJCjKclxhI2AUwlhCiW1Fd1yiEPCsIdZovgNEakyucdCmriiCGQlsCnpISq2BoYIB2pvAI\nXgRfaQyKutY476l9Fec0Gq0ULdvCGoV4qOkSiCfF+aAwWjCFZ95Ai7YtWLuhJIQUX0gUwcX2M1Yz\nb6Cg1YLax77rVoG6EqpEQlYukBtNKZ7cBrJC4WpHpxuVRHEuN+44nqULBqlKTw1UpWDDAHUplN7h\nXMDanNxE9zINcT0wltGxcUrvGel0cQQya8lVdDNVKuACDLai22gdPN5rclWgvMGYGJC6yC1aQZFB\n0C66qanolina4WpFbhSVV2ixlJWP6ihvyVuejqsw1kcXVaWQoEHHQOcqi25KwXt8ZQleCD7HUCBO\nk+kCa8HqGLRXB0WWQV5YPN3k5VDTrUvK2lET3WnbxjDQLjDakusMhWK00yUQY3X52mKUJbcqupnq\nLBLvWvDOU5cwXjoCmuAdypSR/CSSvrYVFZJVLShyqlCikipNi6FlEg2TK1qFwtUWX4dEQkdljyGP\nMdPEMV4GnAg2iwRsCIIymnntNnXpcE6ogqf2EMRTdYTax7hrWtMjjaxSDBY5RdbCu5qyEnJTUAeP\nRpNbjbEGV1VUIQYIDxJj4SgFVgtax2hFrdwyPJiz18JB9ttnHsrDvnvOY8mCudnQn4y+4mYbccHr\nTua1H78SgBAkLvR99NFHH3300UcfuxFGm+hnnwLYd9z0gPc+CCKBgVZGEGG4lbN+rKRVRDeSTuno\nVg5rNEKMAaO1JGM/uk+18kE6Vc2G0ZLx0lFYhTIKnWl07cmzjMxq8kzTLT3dKqNyUcqutMIqRUDY\nOJ5T1Y5cG3LrsSqwcaSKxtz/Z+9tQm3b03K/3/u+/48xxpxr7b3PhzdJI1wkMdgpEoU0bkNjWgZu\nmiUWARsi4gUNF0FtKGmkpyDcmFAdKw3BYMMQAvcWaQYrYs9GbudyMV6vhJCgVXXO2XvPNccY/680\n3rHW3rs+tDylVYrzhQPrrLX2nGOOMeZY8/+M5/k9ZyOYN8ik6LmfGOBhLZi6W6a3ylcvO3vtCA1R\nQ1VIBjkbSWH0zmjCKQdvC8GfH3tseupMKTDlwDJF3n8285A8kpGDoGpcQjkiPnosFn1xdH+eSMno\nAz65XNnW4sKTKjEqwQQV47y4iFJK43LdCdrYS6N1w4KwpMD9OZOysu+d0irrtTj/Z3REFQ2DZL7t\nQ13MqSnTSwMTSh0EU6IlclTMfHGhQYiTOWB4wMcXMBrznAgIgpBzoza/Sx8j1FHR9hqLkdwDooGA\nUGvDYmDJgoov8K57P+ICEMzIyVhigNqY8tk5QK2zFncrNQ5RzDJB/BjFYFgIvr1FadsEbVBMWMtK\nGRsqzSvjdSBEJs3EkEAaau4OYgykKykIISlmlbE3YoQ5mLdbvfTWMhW8lZ6FUjd6r8QsiA1KFUQh\nq5JacCjzmAkBohpqgdkCKSTmbKgpewv8f72TWmOIR/KqHByNoehwnIclh27rEOKckAExDYIkTIXT\nlAgWmKLSRuW6Fa6tQB1kC8ynmWVxd9e2DR6unWRw3RK9D0waKRpBByMq8rCBwZSEGIyHtTmjdwzM\njEZDi5LUmCKEyQijs22dlB1QvoXK5aokSS7wYVgyDBcxa2sOqO4upAQVgnVGF9baMQZTNtbV0Bjo\n+yAGdy4tObAsilqnq9JKPVhLgxyic1IAC4GFBhqI3ZDgbrugByKpNxcAU2TKJ56fjcu1slvDeuIa\nOuE6KDExRkMP5oo7tAIpehW6oeSjzS0YpKSU0olxsBWYc0TItCG05tc6qnnURxv7XuhtcNmV85RI\nsVNHpTVIRHJSxMCa0gvu9tLojpYgLDlShzeUdVwwKluga0SAORrVdnYb1EOsqZu70VQNTLlfPNI0\nRiNYZFmMl5fG6Ry5XioikaA7dVTG6ExxIWGIFAJCnhJ9DNoQJkn0DGXv7mpRZYmJeTKP2GLMJ0Vk\nozSQGLCUCOruPsSjSXvfaF3Y9kLogW3fqD2QNRMPDJSFyCSZbkrKfky3Xl2YI5GTEWIiXwe1NsSg\nlsLWhGyBrIfDzuCUlLLv7HUwggPkLbqINobHvYIapykjIuSYyUE4z5lgsJZOb84YunZjOgT0Mfy6\n2oYQzR+jtuZ/74JwLZVt7UQT//v1HZybcPNN5jzHp6//z//ry/wn3/fhd3FrbnOb29zmNre5zW2+\nfsZwl0Yf3ogRTKjNvzaVwxGidODysJGiMcZgK43WGqUK8xQ5z5HePNM/TwFhME1+Z9nExZg5K73D\nao3SGikoUZUaOvcxMUakVG9GWqbA64fKkl1o6AeD08zgJKSgnGd3VsRoqHjUy1Q550SMzkv45GFl\n3gfTe75Ia33Qe8fUrf/39xOlNKQ61+Ycld4cNJyjMSWj9fEURYlmfPjeiY8/eUCPhpdgvjj1WMFG\nMiMEJadAivpkhZ+S8eqyPYFMr6vDoJ+fZ+ZojNF5DZwlYwdUcyuNWjopuUilh5tniZGIsdVKab5Q\nmJLzZjqD0bzpat8al1Kw4YuV0SBEjyY8u0s8WzJ7qbzaqv8bhWnOtNYdDiqgNDaE0yJPHL3WAjrb\nUfXuDWR7r7QByfM4TFkJQQihMYYvzE2NFJQcI3UXcgjMUWkBtK+I7vS20wWSRhCXcoIZMfrzxTbB\nZJQKZg1wQWLvxYG5w88308iUjYFiOii1UbuLBXY4cKY0YRrotnG/pCeg8PUBWh1UHUQiDzTW3QWC\nLEA0EkaVQKuD1pTJlGyJbJkpK3MyQgrkEAhB+OQymGJg26CrCw5VjDogSSDnyDR1FKOqkkIgBoXe\nPTKmgxwmZCinUwKE62pkNbRXh0bLoJad62bcnxaiDaR7dGaZKrUKOcrhdDNiUJ7fzSAdO1quXksk\ni7jwIkpXJWpAo7AsRpqU9QFiEHr1+E/rwpKSt8rJwcEJRjlg2y6EDFQGdfMoXkqZIDCpOag4DJbF\nm4m24cJrMuHZOXI6G3trtMtGxThNzifZ9s7ogSm6MJxT9na1ETiHyJScT1QbtBoIUciWiGQmDeRl\nMD+PJIv82SdXvvyREsLhBMQotWHa6exUYF4GrSpjuJMroNhQ8mLk3I/n9n3QWmNajgpshFIrih3C\nnlBLcwFXI5Nl2sHmGgx6g9MUaWnQeqNVpbZBG40UAkEaa23srSIipOzCKUe72DJl9CKoKkEjdmfk\n4BGjj16tCB6NMnURV4ZwWjIvlokcdvorKMXVkoCi4pGxYJk0C3dzQkQcaK8JEeWTumImRLWD/2Wc\nF+Nqu6fbhsdQzYyoDlQ/TdHdf8uZl5cLpW2MsGJ0wtUYdSJFdz9ttRNQahkMKntzF+ESlTQptECO\nimLkRSh9OAtpr2ylslVHD6dopOjsHSVioTvXrPbDTSeoQTwiUlNKSB/uTM1KSoH37jKvt519a5gJ\nOR1/F7fGWiAFZ7SJKCnAVoxoLoK31tlq5f504qm16js0N+HmL5gf/I8+5A//9Z/zP//eH9+Em9vc\n5ja3uc1tbvO3alr3+uR+pN77GOzVhY0p+Ue8YMoYg/tTgjG8zSUZUzZqHYfjpSNATkYb8lRtOgEp\nKKe58vq6o3qAUkWIzYWIGI2UHKxam0eo5Igo7XunNnMoave4y6OY5KKNO1QsOCnlfknO+XhsZqqd\nOQXK1Ni7IQrXS2FtUBss2UUET/13ghlLjiSFrT74Qkp8oSpdOU2BuyXyPe+dWK+FlFwwqXVgNrib\nIwOYglH6wGRQ2iBHY90ad3Ni3xrT7NXPy+T7bUpKH4N5imjwGNhaGy0Mltx4OKz9iLDXhoqSFyWG\nyN4itXlEppXmsTFTzufo/0a9WSYlF52enRKtO+MkJ2OK7qDKaiwnF0Z6B3rno0vBbDyJV1M0X32J\nkKKLMtvWHLI7hFkjD9dG1KNuWgel+Os3U+5PGYCchGWeeD5nh1qbci2NZUzU6p1CiFJrp/Qdk3YI\nAZFIZpjH33JULteNzSohRGwYokY0JUTINkArUzAXcUL0SNUYBAvk6AvsU5rYhmDD2EvnnCZEKq0M\ntlJ4WFe23jkvMzEOhu1M6gvz0AMSzR06wzjHyTkZOTDnxHv3mWzKZau87MIShTU6OFjViEPZayWd\nlDkEgjgLaUlKlMljRU1JwauEoxr73jGUZJF9gMROFGcO9Q7EgVjDQqWUQcwQhzLFE6V1Oo3Xr3bM\nFDNvFaujk9TrjycReg7EIF5rTUBiI2fjvbsIUul1dbCuBsrYfBE83H03vLGelCJcO/vYCGkQR6BX\nIWtnpbgQKy4KpRSwWkEgT4kYBkECMcJ79wvzNPjK5UqMwukUqGXwsFXWtjNwZ48O9TapoJyCkiaj\n18YnDyvJIATz2CXqbhqED5/PfM/zE4bx/C5zN0c+vlzYq1J7ow8H1grQeyMHoZuQQ6SVwT7cZXGa\nAkM6GjpxOOC7NL+emMFePOwWDzfhqA2JwpSNOURChNqNFNzjdllXehdCEGKP5LvA65c72xjYgBAz\nHOLW3jdyhBgiOQQYgTlMrNJozV0ke9vB3Mnz4YeByTI5Gfs+GN2ZLc/nhdYrS45gwvrgDKpoHhf8\n+GHDojFb5oPnJ57PJ/ZS+OrDFRvuGhxdnQGDC6U5KxaHC/t4C5UOwULAtLOc3K05hciYZsoIyFWp\nFArV47a90bsxmgu+3ZvXCXbwrELgHBLzOXPKkY9eX9mlHGDi4iwbNfJknM6BulfWCnG4OL/tldE6\nkhIqAwvB4329M03R3aIqRDNiMpYUSNFoo5ODHu/3TimNORofXQpLCmjwyN8UlbUUeoMUjTkZd6eM\n6qD2CuTvxJ97/3v+HXumv4Pz4//5f8gf/us/5//9ygOldlfNb3Ob29zmNre5zW3+Fkytw+GQwajN\nwcNy2On1LWBiH+7MmadIa50sfheX7D97tHuHELCvQR+KQArCFA1RZ5cE6+ylE4M8uVJ653DwdPbq\n9EwXGQa9DepomLq7RUSQAbVWZ2F0F2mCedtVjso8BWIdDBxs+cllYw/mwZ+1oQopK+vmsaYpG96K\n0mlDOeVINOM0R2ecBIerBnN3wLO7RBBlr410bNMYcO7w/vP8JEK9fnDByu/KKvd3mRRcqNrLoPZO\nCh5jcKfCOGz5hkQwiyzZwbmDwXWv0F2Yyiky9mNxhqLBHyMlYwqBkITWI+fUKa1zt2SeLZHSGxzQ\n0IHw3n12x0odvLysfrxxHoipErO7muZkXLejynsMYvRGGBF3UARVcjIu14aKkLOLSv61x8JydEHg\n/WczOuDl643aO4zuzUt4RXmOQpqM6zXQeiJU5URimd3NtK+Dh3VQUmPqHVOPScEg2NGYhbNCYjSP\nQXRDJGBmzFPk/uznbT9qkzU2+laY5gml8knZOeVA7ztzHpynTB2drbnb5NoLp3PCDHpxV0XAI1lL\niHz4bGaeXAwKQbg/JSSeSCnyyauNvQKqLFNhyoqIA4iHDOaYaZuLSadFETVabWx7xSwRgjBPSqvG\n1jqlCTFAY0fNIyum+GJdvMo8x8CU8f18Z0R1B1ttlXWDHKPH2dLC9bKhGshJXERrjTwrOoQxIhkh\npU5pjVoHORm9eUwpxEA0j12N6oDdEDLKRiuFMiAPsODOE9XBkgPNBImK9cgYhTkGljl7dChU5qQI\nDlhey4Za45QD6xWQAyoe3WWlClGUtATEjL539v2ISCZ4NidqhfOcETGmHFFTytZ5qCttNEqvdNkc\n5H5KtNoZLTg7qwpr7yRc/H12zrxeN78ORX//Tln9uA4jhEooQlCh9sFQb5ty3ow7McyEuzmSY+DZ\nnNlqZ0hFtLNMiorx+iE8uQZFDB0wRWFZwsE6UoJFF8NCYKsbTRqn4K6qa9tchKKxF6iju0AWAqeg\nXIrQWyEOF+/K5jD7FCIfvvD38JIjdFATnk8zghJt4lW4srWjgc1rqchx0LpCG8wpMMQrseeUWLIL\nJB4xhbWu9K6c5szDPpAkWHN2VS9KCCAkgg1vBUzueFRVTCPpEGO7NIZARAhT4mFUGO4CG2OQckAj\n0JQyBnvp3J8mQoTr5mK6mhBS5LREDCHnwOlgnPlz+9+SvTVGh61WiBBSQqKxxMRefV+kECitu+tM\n5amZrdTOtn9nUcGfSrhZ15Vf+IVf4Ctf+Qqn04lf/dVf5b333m3v+Sf/5J/w0UcfEWMk58wXvvCF\nv5YN/k7Oe/dvFLT/9ff/DZ/9z/6D7+LW3OY2t7nNbW5zm9u8mUenjelbEZjuMah1r4wBY3RUlRyN\nu1m57s5e6QN665h5K1Brndo6cw5PgGIVvwP/cWnMU/A7pQDROC8O7F2mwBiPJTEOj315KV5xPAWe\ndVxkCYnWBiF6g0cIQq0CVL87OpQpKUH9ruizJXs1dx08dAd50genKTMnjyA5QBi21ih7J2dlyeFo\ng/HGjxR83zy2Zr24z3zwYobe2Iq/5oEvPE2F+1M8mo38jvM8GYKSzCitweh8/LoeTTuD+3MmT4Ep\nOKtmLZU+fOEXTF0oi4YMGip77QAAIABJREFUeL1X3ssTtR5V0sD9KZLiI0B3EMzYSsPU4cXzZOTg\nApOpwzTrPogBVIy9eQRg23dvDgNqO86LQ0xKQVmCwYAHKvs+SClynnxx2JtHS4IZbTRC8NiV1wIr\nU46YCSkE7k6BWuH5KVH2yisFQwjm1ejbXr1pqXlFcgiBczZyirx3nkCFU46+HfXKQqY1358u0ykp\nwTxHFHdfhaDM0WNHRnSnQWkkM9ootD54fjoxZeVVuLrYKJVTnIFACq9pbbBMkdIqM8agEJNwDl5J\n31TcxRAic5oOdlEnxeg1w30wxCvb3zvPzFPi4VporaPWqE+V5gEbBlVIUSijEYIh4A1WSZDu/Jf1\nurPWndL8vSoIXR3mndXYe2FJM7MIvTqUWxgQlNMcSebMlG3vbNnf0611TjlwShFwBkrvkJZMju6+\nWOvGQ3DHTQjhaNzpbNsgR+EUnW10v8y0efDJ6vsUgRQCD2thjECMTrs2c9FiipFaFQ2KLMZdNmKE\nYYV+tFIh0JozuFBn3EhudJScFBMlhwgyeHGO5ByZL42LNsbcaa0xz4ZFIScXMNayUlslqnE6RV5s\nmb0XtAkpCSkr9yfjWuD62oXBeQ7MKVJqJSdv3kpmR9zUY4oqQiAeTKLOQ6mU1tlqI0V11Vs7yps4\n5TJ54CkuwkI4AO5GB6bkTsHahbIbqt2dajGSNZPUiBYQcZz0NCXKdfOGJIGHVgDhPBvZXFDrzcXb\npJHWO1Mw2nCB5rkoZWkH5UrY20btztHK0R2XORinObGkyN2ivFqv/hr3zqWuPFT/+zD6YJqj3wCI\nyt1Rix1N2Q4g+etixG5cK6SaUK0QhctDxQjkFIkWGDJQhFEh5MQ8BY/MBqVJ5/kSebVWSvW4Z4xK\nqx0V89bEQ3TqAWITnt87OD0EY0qdEJyFxXFNm7NxXjJTdDdfaYM5GdXLtCjVY3VpuNA/7cYUjXaI\nV/tekbURxJ1zUwqYKqM16hEN/k41S30q4eZ3fud3+L7v+z5+7ud+ji9+8Yt8/vOf51d+5Vfe+Z0/\n/dM/5Ytf/OLXVTf/XRoR4b/8R/+Qf/4H/5b/588v3+3Nuc1tbnOb29zmNrd5GhV5Em/ARZtSG0EF\nM+WyFnr3u6Y5ugsnmDd0xKBPIs+2NXrvXgt+CB5TcneKinB36gdQdzB6Pxwoypwjz07p6fm3vdGH\nR6LWvbHvDk4+zRGVwSeXQq1e1bwXeH3dyMmQrtyd/MOwiTgXpvcnO30QPQCRHcbgtETCDq35Yo/i\nENraOq8evEXFxB0UWzk4L4JHlIJRmgOMp2SI+J34nIx1r7Tmtd4Whdo72+7Rozkb6zooIaJlYzrq\nZYMORuv00IhmPE8ONTV1fkRrcD4leocQA1NSSh1c93IwUIQpd3ofTJMiQ/n49XHn35RliodTxhcy\nFpQXKdC6H48ksO+F61bdxZEil7YfMM3AlCLv308HQ6jQBlzXBr0zhrkLStXBpwKtQj7ZEePg4GK4\ngHI+Jc5zwgSe301c18Krh53XayFFIYaJoMLLh+JtMgL358xpStyfIveLs45675ynyJ998oAMYYq+\nyLuuhRj8vIqH2HboBdydovNELHM/RbbSvd4eo+aO4QuwJBOXskEPpOSLwUqiH6rjacogib2vHkmL\nM5/sV8boZAyLxv0p0qu7crIZDxRKcw/CkhJ358h9a1ynwrVsiCofPwhlhZSC35Vvw6vdpTJbpPbG\n0EYwd0fECF0GFryveDSAhmZFRHhxShiBaRaSJOoYpB4JUbmux/tVoTeHeSPKnJTzlBl4/HGIshzn\ntYhHuqZkpJ54KJHehUon6MDEAchzSNxPC4qQYmKkjminDG/mat2dYMIgh0SlPYnDAyMEUAbTrNAc\nLot449mSJ0rbedgqy2TUEslzPmDgXr89JeODu9OTm29OkXOqPCudgXOYSqnECIzGZb3y/G7xNrrV\n34PTZLwYiaCCSx2dGA0Zhi5HLbwMUlRyTkTxmvgg6lHJGDjPkW33xrdn58QHzyf2XnhYGw9rYYr2\nxFxqbXi0zAI5KJe90Cjk6FwnE306r+/Xwlc/3rlKo3dBQmJJiWfz5HyZoAwtiGTOcaLrxnWrtFqp\nxaupSwF6YTJnEoGvWRmD1g+IN36t0HY0diUlhEzpBTFlmb1W+26KzMkdNq/3zt2UeKiNMXYeuvN3\nxCDK7KJa9GjT/Zy4W9y9ZCbse2VOEbQzd+M1SjuuATZ2ptMMhwBU6mBKCrjTycyh5ym4wymai+1b\n7UeDWedBYFQXdkWGx2x3CAevBuByLZTQQMQBzx3cwafkIMwpeEPdoeuEAGEYIn4jYQw4z4lnSwLp\nrFUROg/if3OcI+cNjNve0OHRqVoH9ubP4N/ofCrh5g//8A/5qZ/6KQB+6Id+iM9//vPv/PzLX/4y\nL1++5Gd+5md4+fIlP/3TP82P/MiPfPtb+12YH/6P/z3++R/8W/7lH3+F19fyDrT4Nre5zW1uc5vb\n3Oa7NSEIe3kj3NTmi9NgcrhN/C6gHnZ0/5k+/Z69tTA2FYeVDndLlOqtVH4nMRGtvxPH8najd+8y\nPm5Pjt7os2RjmT2ete6NsFaHXHYhRNDVxR4VKMXYejkeadCaV1ynpLy+dvLBkTETTBQTY6jzLqIZ\nOYgzMHrHzMG0Ih79CYo3XQV9ikRtxRkrHjXTQ4hy99B58ZvppfiiLGSB4ZGdGTCdOE3hSZzpw5ur\n5sWhou0Ronv8m9HdCeH7dyCPzUIBggWWDNNkcMTGggnr5hGqaF7PO09GHv6xvXWvvt2LuwfUlGfn\niVobW+2kaNwtDh/1BRKse6M0rwefs4t2jwvOUz4cSaZcVgdAn5fAaY7IcCHvtGTuT+lwosAHL2Y+\n/nhwOWXCcR7UA5IdzSugW/OGl2WOh2DiCzkRd4D9u89PXPfGViOlNvZpHIyKwV4bORjPz5GBMMVw\nAEOVnCMfvAheS18qrx8Kl2v19ilRWoG9NULzu/XPl4nLtjIQ5pTIUXi1d2ISgjXOQbmbzoQRaW0w\nhcA+XHT7yqvVYdvZ0NkO91bn1TpI06AKQOR+El4PdzcENULExUOFZTbEAnsF7R5Xq6MTBe7mzBSU\n1oTChiUDG7x/PtFKP87Zzp2dySGTg/JlufCwd2/isUCOxl6Hs6OW5Ivj7otbd7NB7d4MBt6UM6fo\nMT/c6TaGtz49m+44xcy2V9oQ9tJ4/25hHVdUnWmUDpj4/bSwrsMjMnjVvdmgUEghEbI9cXhseKxo\nGicMdyc9SOEUA6ccKaW7+GjKMtnBBDKWbGzaQTsPxWNPW6ucpplPLjuqncsmZFNeXXeCZkrpCMZk\nnd4cVp3EmE7emNTGwIaiObBuDVHxyvApYAjPn008O2Vad9jPe/eT8796ItmVKam7q4bHxMboqPk1\n7+NX21uAZ6U3YVoc4r4X50HlaDAiKkplRwRidjh2nLypai+dqMbdcKfUXgfj9aBSudZCb4F5AQvO\nblli5KuvOnNwp5cSWEvHYmBSf98jxl0IlNG8cbB0XtzNPD8b+15pnxSqRYaCWUDzxPXqEOU2KkES\nMQTmFLi/Szy7y6xbg+N6+uJ0Yi0rW6vMRyTSzPjgdA84nHnd6yF2dVIMnGejd7/e2SH6tu613lnw\n+B0AhREi0TxyGlQJ6g6txwhnMIEO+xHvjP0Q7MR/fn8XqdWbrD55vTOGRw3DaFw3D6DV3nj/xZlB\nIWzF41l4rPVy3Q/nmMfk2taerunfqflLhZvf/d3f5bd+67fe+d7777/P3Z33i59OJ169evXOz0sp\n/ORP/iQ/8RM/wSeffMLnPvc5PvOZz/D+++9/0+d58WIhBPs0r+Fbnm/Wif6t/pv/+r/7P/if/tv/\nwgF/fw/n0+y/27yZ2/779ua2/769ue2/b29u++/bm9v++5sZUyVFZ9304QDOGPRJpHGRYrzzwdL0\nYBwAe220NpwnEd7l4pTan+4khiD08SaO9TghvOuqfnt7wNkj50kRUS7rzsvLhmpEpbG1zt46pXYQ\nYZkckDtkMEWH/5pC687eeS9Hrqn53efjNS058vwcKW2wl3bwJ9y187ruxOB3b1Ud3pmD13q33umt\nO6T0WIQOICZj4GJMbZ1lDgczyO/mtuF3iucp+t10Ux626hEeEUR8/2o0ehWW5AvC2gelVvbS/W5z\njpxmQ48IxKNo42JK57wk2tiIw0HOvQ+2vblIdMRlzJQ5yeFKceZNH+7AidHbujgawnoftNYe0wOI\nKkE7634scB4rvicXR0rrPL9LTCn6Pm3uTvAmMI8qffB8oayVZ3edHAO1uWikKu4OCb5Q3UsjBHX2\nijoPI6eI6uCD9xYHM2+FrTReXQprqdwtEQ3OBbo/+UK8jYGKsSzOh1FV5iC8OCdEruy1eVRPXAzr\nwx0Hp5y4XwKXNfPqYUdVKa3y7DSTkp/TbVSCBrbrYIrZBcIgtLXzsFVUxNtz1AXLOWeQQZdIDiul\nNXbz+FWpg9kCMZrHrk7ejPPJ65VRjX7csQ+qdDzy9MH9hIzI3jfUhJfXC3QhRI9mjKEsaWLJAawR\nH4RlBNZaUe3MU+DejBwDz89efdx7P5q6OssSvWEMuO6NtRaCBmAH/LWtu8OWdXgFdAjibVcCXQpJ\nI+fZ684vm583gkf5nsfnbHUDAZHOw+4Q9CX5dSbEQBvFBeTBwUaZOE/Oi1rrjpiLtDIypXamcIDD\nh8N5J1UaAQtCl404QVzl6dz76PUDWxUqhTbkaG5StLpoK+YMp/vnGe3mrrcV6iFYPrpdkrlopCqI\nuNC7zA4GBxfu3rPHRqxKbZ1PrhdkDNohFNTSuezG6+uVKRu9RWLUJ/5XCIHWXICII5ATLDGyzNFb\nmXSQLDKGcEqZ2ioWBndL5roLa22M4ccsKMznidocPp6Tu4baqOhoiLigJyru3suR3jvv3Z0p2+6s\nMwakwGlyZ5hYRYtSR2Lk3Z1JFgG/nuaQmFPARDnP6o8v8HCFphk15ZSSw9hXZZkjtXbOi1JaoLXB\nw0MlJKVW6L16DFGgD2XOSlDh9eoOSzVljolXF3dAmSkhKOlgrrVDXGZAO95fKoI8NeA5A2kcnCgV\nj1qOIaxbZa+NKRkhHtybUsjT4IPnMzF4w11vzpMbo5PMr40Px9+5R9fTd2L+UuHms5/9LJ/97Gff\n+d7P/uzPcrl4dOhyuXB/f//Ozz/44AN+/Md/nBAC77//Pt///d/Pn/zJn/yFws1HHz18mu3/lufD\nD+/48z9/9Zf/4l8y/9V/87/xP/7Sj/ydjoB9mvnr2n9/X+e2/769ue2/b29u++/bm9v++/bmb3r/\n/X0XhUz1yab9tdGpYEqp7es+WObkTIbl+Bh43erXPe7gbYbOuwKRszHkG+b6H7cn867I40KIc0E6\nDRNhjpFSNxcWeqN1jxU9P7uzYMYXJ70d4o66M2YvDUOYJuW0JFrpfGXv7NUXsSZKbb748u3tnFLk\n/uSw3X1ztk8fj/tJ2KtXDnv9t2/73ZIYY3cxRhxk2TuYrxEOl4pg4v8uxIDiwMo+BnMOzo3pg+sV\nVJ2FMEUF8TYsM2f+qHq8ak7h4DK4G8D3jcNrFWPbHAAs4oIW4HXq6vG3vVY8UTaYp8CLOxcittKx\n4Yu7bW+83HzRuYTIMgWe3SWmGPie92ZiNPat044dNGW/M/0o2thxHHIyXpwT1yjUFrislWAwup8H\n5MGrtRyCkTd0RRNe3CfKcbxMYC8Own1xrwwmUlBar2zVt1FVyBaZc+bZKR7HzRdSzRN11DbYducL\nmYBpQNR/r7XBeVp4vtwRTHi1PaCh87Dt1D4I6ovJPsbTOZFNWQeYeJW8HJAXNTkAqR5/QQOy+flz\nngIPa2NKgRiVF8tCjkoZO1NUglU6hdrh/fsTfb8yJWOK2WvWR8dMOWVvOBLptC6MLqgoFr05bcrm\nIt1wR0s0uJ8zKXm70+idYUYpnSUGaq18cilse0XwiOEUA214pXRUjxSO4oDhKXmbzuidnAJNfB9+\nz7NMG53zUg8hTVkvfl6sJZKTct036uiMI55kJuQgvHrwKvaUjGk2sp15+bDyUFfOKZKLCy1jKLU5\nGFtFMGvE4F+naXDZCjDY6u5uNoTaGoPBeTH2qyFdsAQxuPNrmvzadZ5mclQeVhd5U3SW15yNKRiD\nwWlxt4uKn/MpqdfWi+/7HPWACw/i4Qray8RaN4+StoFq4JSMtjZKrZS6M7VAMGXbnByes1crBQsu\nHA8Xqvcq9GLcTZE2IHYXIV6tK104HIscIG8lhcSLu8WF6KO2fW+VdlRaO+jd6NWjo9etMqfA3WK8\nbM7Tcr698O+8d+Zh31mq8PHrDVPl4z7o6gB2U+OcTrx3PzEd4r+3FnZ354lwlszrazmumYMS/LFT\ncBFlLe1ouHPw77p3SvP3WzJl0siU3FX1/OSuvb0Y++jk3Inm59kYx35MgfPkDK6eIuAutXXzcwIG\nqh6vAofjp6jc9+lw0PDUguj8Gudx9V44zUbQwIfPT3z08spp8YirSEOtcbdEj5KGv0XCzTeaH/iB\nH+D3fu/3+MxnPsOXvvQlfvAHf/Cdn//BH/wBv/3bv81v/uZvcrlc+KM/+iO+93u/969lg78b8z/8\n0x/iZ//Zl57+///+s9f8+//g7/cHxdvc5ja3uc1tbvPdm9b71wkpXxudemyc0uNz5TcSXFKwJ5Dx\n25OCvSP4vC0QfZpR9VrVvSq2++PO2QhxZk4uVLR2iB3qd43NFKG5MGFK2SthdpHhNCVycvv9q4ed\n09ypozHHSG2Nu3OiN5in6LXhbwkyzvHxmFQ6HEoi7zqTfCEl3C1H/bYpunl0pI2BiS9sU1D/sJ/D\nIZypt4+Ic3dUXKyJMaDmTpQQ9FhkPUbUjsjWccz64YyJQSh1oGqU6kyXGPRobhpI76QUuJsCLx92\nogrXXZ5Aw+cpEILReufZObOu5Wj8GswxcD8bz06ReUrMKTLlwJSC14dn5x/tpR3NYh452EsnvUUN\nyMn5N1vppOiujnG0zIgoFpRtL77QVGFJzqohDEAZAUrz1hbBo2IPW0EY3E2Ls0xwfksMgXE0uuTo\nlb7r7lXzUzZEPN62D2VJDiHVkQB3RwnOA1q3hlaBkbifAyrKVgsW65MDSQmkULwufQhbrUzR79pX\nGZyXRO+DJSZMizvbeuc8z8wpki2xpEAdMOlMtMK6G9dN6b2x7p3TnDglr0cWcWaM2kDEW8pqaaQw\n0BEJwRfIKTgEujQX+xBvOponh79OyahN2Pbm14nq8a0pGJerQ8NTNM7PJnQ0rqWy18F7y+Suo1IJ\nqogOGgPVnXoAoENK6BBkhMNd41wVM+VZMuohzD2bZjqVKbtwENQde3fpTFA/H6dsNCq5n8jBeFgL\n6+7V9CkIc3aHU54Cp8ljP/vrSq07wSI5BV5fNrbubqkUjftlomhgHBXgFuFs5rXS4o1AKr49IbrD\nL5hynpM3WSH04Wyp0+QNaCoeLRU5nCU6+OrLjT46tTtPS6wTu58b++iodNTglBba2Nn6zhCY08R6\nLTSqs4fqeBIXvS47cs6B0ivXrdKH82n2HaxP1DLIkhBzN9qczV1YjIMJlFjLSjiOT7A3NdjXWjml\nCTkA52sZ9NFQsUPeEIczT4psHbkT6tw5TZnr1UVWEZhS9IZBeYTie9S0NIf0puiOpZz8Wns2BzI7\nDLlxd8q8vGykqAyU2h34HKNQi9dz96GMJjy/PzPFcMD0B1/+2Bvveu+H2ytwN0ePrqkxZXdVfnLZ\nicG5PWMI616ZcsL0iMoinCYj2AQCvSdiEKL6/hKBIJHRBRTulsBlNQqFs7qT6P4UKVvBjua+79R8\nKuHmc5/7HL/0S7/E5z73OWKM/Pqv/zoAv/Zrv8aP/uiP8sM//MP8/u//Pj/2Yz+GqvLzP//zX9c6\n9XdplinwhV/6EX7qV/93AP7lH3/lJtzc5ja3uc1tbnOb78r4Xcj+9P99eDV1ikqK+o6gk7L+hR8s\nc1LmFrlu5akdKtgjhPKNcPONhKK/ygfWaMp5yax7w06Z2ju1epTmfIoE9YrtrXa2Un2RxCBn/6hq\npvToIskYXv+dgy/YXtxNfHW6Pt09LtWjNe1oyZqniDKeqs/FfPH/6LRRcejk4M3rfYyZLdkYBLbi\nC+EYjqaR2jE1lkmfmkqCCaW5aJGSHRXpg8GbqJKZkYJQGk9OlH7YPPbq9pHTFMhR2Qo8LspiUMY4\nqqBVmaOyZL/jKyIsU/IYQ3qsKFd3S/QBFb87fDTiqClLFKYcef/5dLh8XBCIBxfpcVE2HQuwR14S\nvInC+e8pUw607uBbU6G1xnVvmDq88737jKo7FerRspVjwBQetgpDWXdfwJnBnSXq4Z5KUQmH0HZe\n4tOxAXdx7UfjU6u+H9sYT4ynKZk3KalQ6yBEQI27OfJQKjqgM1BAUO6Whbb7ub8dFdmtJYQ3LWW9\nQwxgEujiQk8QI+dBq51TSuQ4cX864hTXgpqiCNsGMgZTDCxxRq3RursATpPH8mr3CunROn3AKU0H\n3Ft52FcetuoOAQE9BD9Th0mLdARlTl7nfVkrl6u7loYcDXDgMRcVcozkCGtpxMM50brSGQQbMBrr\n2Ok4WHnvB1/KAnOOzCmzpM66VQf/9g7DmLIgpnR2Pro4GPmkZweJS0cZIN4Ota6+by0os/rrn7Nx\nTi46DqnstfPx65XLQ6UXj+5Jc7dThAPyHREx5qyoLjxsOylG3z8B5qMlrQ1I1kjZOM/+fKfsoHEz\ndfHtFJlieOsctycnVmt+LdzbfjTvwTIZl1HJCKVwiBrqbrKaOeWJPoTJIjHuRLVjmwE6ex10nPui\nIiRNXNaNEIUpGqMq19Iotfj1OQ76qFgSYlQUh4ALgIWnx3HxG2rpqDobK5m/b0rvXK6NFDhiYY+R\nyIDNJ069cdkKMnZy8GtKtkw+IrUquMDbx5MAfrdE9upuq9LexFBN/G9Vf7yuiEeOHl1dcw5M0djp\nR3OeYJZIpqylsK71yeF0f1YEcRHonI7K+eiCtqvGiDjvqHeP0Kbo12ILb8RxFa97H8PjujF4+9Rj\nw6KKv69y8td6tyimM635X4nTnLn0QfxUSsqnn0/1dPM88xu/8Rtf9/1f/MVffPr6l3/5lz/9Vv0t\nHBXhp/7x9/OFf/Gv+F++9G/4x//oH363N+k2t7nNbW5zm9v8PZxS+zf8fj0Wm38VZ4ypMwV697vt\nKkKOvhh/FGZa/2ZC0bd+t1F0YAJz9juosQubyLEYFxRnybhrxd0miLBk5X6J3qik3j4i8th25B/E\nU1Duz5neHXA6JQhHaxbDGRe1etUxogSDvQ5MXfToh+3+zV33cbBF+hP3x9QX148OnUcRwrlChuzF\nq7cPAG/rB0S4eJV5SsGFsOGg0d69xveR5eNuAI/9BHPo7F4dXOoQYefDLFNkwFPduGo77nJ7NTPR\nn/ex0YsxDrip8vxuIkVvtaqt+zEWOxhAHG4TParaB+NRpLM3cOvH4/+159Bj1MuSs0BCcKGq9fHO\nPozmYht4vIxDLFP1bd2qC18mSor+s3i81jlH1uN1qcgBaPZFVzgidNveEfF69/PZ26ly9EhIMqNJ\nZ5DZW0dsUMuA4FXrMjziJAomjVOOiEDv9sTaCI8LS5Rpyrwcg97hHI3pNPP+vcOa+yHKpeSOt+ux\nj2Lw8/c0BdoO4WAlpcORYGbsu8Oxs/k74/JQmZKiGK+uVxeURmDbK6UNsrmzydQdaMHeRLtKe1yY\nHs4yBvNkxBCe+B61OnQ8BeXZkni1r/4ebyt19OO9EbnWB5awMOgkc9BrNJApQDN6MObJ656v9YGt\nRKIYpoGhlWtZXRARF4dyUlIM7LsLcDEopxiIFlhyIAbj1bVz2TcuD+VwoQVay/SSuMsJQThPga10\nWj3EytFYiM6QCUKMgTgLtUJtjR2IaoToHJTW3KG2TAFT//rt2atzmGr39+PeVwZKfosntszC6JBT\ndA5X615xnge1QWuNtW2k7HXWpVVyCIh5q1EMRhA9rmuDOWfm5NXire4IwlbdrTOnQOtGVGOZ4e6U\neHHO3qK0dlYqCQcnM6CWQgyBoP4ar2uj7o29NlLwiu3rWo/3pBHVr3PrXlmmSK0DwWit06QwhrDM\nmaCCdqX3gUp7eh8GVfbqjKUuwmmJ7KUfsGYX5oJN7v5K/vx9QD6uXa0PphQPh1w7YrtHLOtoNZxz\n4jwlpmScDhZZH/D6oRAM7ufEZfUWw3QwscxArLLWgopyFzPvP5t5ednfucaZGqfZGVX5uFZNeWcr\nVzouOCEDYfA12Le/8fkO60R/t+c//f5/wBf+xb8C4Of+2Zf47//pD32Xt+g2t7nNbW5zm9v8fZtv\n1mLxadotWvf2nCnZk7via+dth8XXfv8vEokeXTql9TcNQ1MkmN8dfWYc0QmvMQd5cvR4VbezEZYp\nfJ3jR3Qw+pvfv1sCrfHUcOTP7x+uSxuYvnl9S05c0n6ICjy1ZCn6ZPF/e/u/Efj5yemAi1F28HRa\nd7JCaZV+LDLuFl8ADLzqvNRH980RSTse87GOfSv96S6412cPDHf/9OG11CEoMThbJgWhdmPd6hvX\n1MFr6F2O5y2HyyJwmvSpVesxDffIuXh0Uj0e1290Tn0jGOeja+hxnK/kcNF3vy9Pj2GqnGavz378\nNdH2FBObDlj0I2MI3jihgskR9xgHmLgzGKTg8OW7U+aU/FyLh5MoBqU0Xzyec6b2xt4apymTQ6C2\nR66L1zj3/hj5kuM/P2aglNKIw7ifFph8/znTSA8nhu/L1jtffbkRj2r3GDx6c5oDr2p/iqYBh/DU\nnlg7U/RFcWn9qfVNCNTmIuh5zgQJLv91bxk7Ws8d7FsrMKilAnaIcMq+d3dBjEE2F6Ea7jgLQZmG\n8no7mqLMUPOGrDHc8WSoC5ClurMrGCm/uRB8+dVrskZijFT1iFLpha1WlpyeWqnUxJuslpnznLis\nO4I3Xk0poEes5+GZn2DfAAAgAElEQVTqItSgIdKph8g4motQIQToLpb68YLTEhjDWShTCsxJ3wKP\n+3Gdor4jSKYjwrjVSuvOSOkdrmtjSIfirret1kM4hKx6wKuDuz564vV1P0C7g1eXQmmNMiqCUVYF\nbe4mnFworjZIpiQLgJ9n216PxzgcIpNxFqE18XNwuLj+/H7inP11JIUPny1c93KcQx53XEsjSHi6\n1mx142SZ+DWieynOtRoykCEky0TtdIPaKj0MzCIxGFM0oJNjfLoO7rXxsFXWrbpbR7w9L8fEMiVK\nbZTaCUMx61w3j8WNgV8Tj/O4j0FOfsyn5KLcGM2B59XB28mOYzv5a/LYqYvBe/Gq7ymZN2ypi2OW\nOtHcsRnM44A5KO/HiYdrfWJ6hXA4q9QZUzDYSoXDxSQyEG2EqDC+czEpuAk3f6V5+8PAZf16kN9t\nbnOb29zmNre5zd/0fLMWi0/TbvGtiDKfRih626XzWCPOsRjN0bwhqR9xrvSG8QI8uVrenm+FsdO0\nU6p6nezxuAOhHAupR/eIPLpDDgdEbZ1yLP7fjoD9ReDnx3nc5yEI16173e2j1f6oRc/xjTiz5AA5\nvCVWvZnHRedWvOUkBcUOt1FtndEHIXiU5/HxHu9EO29BD7FID/YIiDiDJh2tNqZCGw4bFX3zvMsU\n3nFZPb6mt5lJb3//a+exAezN/zv74m2h5u272uEptqDMGUp1x9djVOvxNTqgVp84TV/rhHqsIvbY\nm1J7I+ig1spanL2iAhLsiBK6oLcV5fJQWGLinOMh7uHOKDPuoguKr696OI8eo3W+P+TgfDwKZWbq\nzWyHYFPrOCC34iym6nXcaXK46vvPT5SteevZcW7J4bgSEXQ09jqofRziiYLIEeGR43X6gnndKjkd\n59jwiFVrg9aP/TV5y9PjUXM3ziAfbUPhEE1r84V7isp9iHTxtqW9NGofKM58uT9N5OCxmL0OlvQ1\n58MYhMOpYF1p1SHAcuBi/fgftdjSCeqxpWUK0I+qbTpDK10aQwfnnFhbObZ/80X0/8/eeYdHUW5/\n/DttSzYJCZ0gCUWQJigiIoQqWLggoGC5/kAFBQvSBERUyhUQUVEEC1wBEfUiKBf1oogNEUEsEKp0\nEggoEkhI3TLl98e7M9ma7GZTNnA+z+MjmZ15550z78y+79lzvkfTYDNZYTaJKFRdkADYrEyEnOeZ\nc9LhZGWm9cpoAi/AauLcEWYoTv3Uq8+pipGepVd5syt2SIIIh8zeaw7ZCc6dYBdrNbPy7yIHURAg\ncgIAEwodLsguBWazCFFTwLskKAqL4tI4wR1tBkDlEWcRwasia5MDXE6XR5QJC6RzqUxPxWQqdnzH\nSCJL44J/+mqh0wUegEUSEW+NYWW7waLo2PuIg0liJbsVRXU7TlW38DlrQxJZdJ5V4uHSNGhuJ4XR\ndwCypkAAu492p8LSsgQeVpMEh6xA0RQ4XAoSLCJMomREKsruVEDNLfQs8BpUjYdkFtl45zjkF7nc\nKZxsrHAAFM0FkySiVrwFPM+7q32xZ1ByVw3kOAVmSYBd4t3PggpBUox1vP6+E9x6NjECq5LlcKpG\n1KkocIamlwwnVIXtq0fgcDwHVZXBcxa/d2FFQo6bMFk6uSdGvbQZgC6+VnlK0gRBEARBVBx5eXmY\nPHky8vPz4XK5MHXqVFx77bVIS0vDnDlzIAgCUlNTMWbMmCrtp7649aUs1S1CccqU5rQIhKdDSPM4\n1nMBBcDQ5HG5tQM4Dqw6iywbETehokdweKZ1AWBVfjycBnq39V96dTjAEN/1TQErzYkh8Dw0TTYW\nQfpC36Uw4V6r2bs9ye2MYKLDbOEVYxZR6JDdYr+K4RSwWdhinec5wwlmRAlxHJyy4taN8bQFS93Q\nK4uZJMHQ+NHAQeA0gGNOoNgYCSaRRTXpER/6QtBXM0m/XruDCahq7gpPLkUz/q1HnJhMPFvMuh0Z\nuiAzoDs1NGOxGW+T4HSxe60v7jSNVcrSK1np6JFQAGAxiyhwuOByaW6nFSDyIniBCTprmuauLsYi\nWkSBnS/GLELTALPExgWnKJBEvXS8Ztgw1sqMqveHVQZjTghP56L+LLgUFapW/FywaC2ead6YRa80\nR12Xw+EqLnPM86zSFgQJisqi1Jhzp3jBWeR0OxVcbDHucCkwSWwBbjLx7spRzGlUI94Eu0sy0qIk\nQUBcjMktOM3GQkGR+3oFAaLI0qhy7CpYpg2L/jJxHKCJsJokmETmzTSJIlSFg6by8CwiZzaJ0FAs\nvg2RB+cCJJ7pMumLZgDgOCbk7ImiKnC5Q4dYapkGTXBC0NxplDyr5qQC4EUFAs8i2jw1mgA29lVR\nc98HeGzX0/P836MuRQbPsUgN9hwCilOFCjtE3gRFYQ4sWZMBTmFixyJzAnMa08wSBQ7xMSbY3X2R\nNQ2iU4HdwcEksWpnouiO4tA4iBorBQ6waDtNkhDLs2hATVUh8Co4jb1rmG4MS/eMtfGwSszZ6hkp\naBJZFIzuiIi1CLBIiofoOY9YswTFyd6xkiBAFJiAtKdNdHF7FkXo6RwqHt+a5h7PGnMa2l0ynC7V\n7SDiYRaZaLvTqXqIsLNzxFolOFyKO2FUhMvFdM+KHC4UgaWYaWDjBrzKSryLZlhMImxW0et7hUXw\nsXeoruHE85zxnVIkO4z3psCzd5ouJC1amA0FnkVnKe4oN/07yC7LxveVIUjNcYDG0soqE3LchIko\n8LjmytpIO5qFkS9+j+VTe1d1lwiCIAiCKAdWrFiBzp0744EHHsDx48fx5JNP4r///S9mzJiBRYsW\noVGjRhg1ahQOHDiA1q1bV1k/BcFfhDhcsWCdUJwyoUZeeKYW6YtkXq/koekLKN/JNotqYREripcj\nRdM0t2CqGvK1BSpdHmMRoHgEt0hGBLUGwOM63Qu6QClgoZREZ9EK3o4mESyVx2r2nnKLIgcRgt8P\ngJxT/2W82PnDUrr0KCHv9k0SE9iUFf/oAUXVjGsVVM1tTxhaQfp+msqVoGPknz7mdKlGWph+vwSe\nA/NXcF4RU56pV8XnKHZyFDlVSAKLVhAEGJVcJEEsteS8TWGaN2a3c89kEuFwshQXq4lFFfC8YDi4\nwLEKMyJUSKKIGjbJ0DPxHKOeY79Y84c5dMwSW6wyR1XxWNbHjktWofhEcogCc6pYTCI4jo1x3QnD\n8ywVR9XAInJEzl1ligPH8eA5DRrYMxRjFt2i2EzrSAXgdMmQJM7tyGMaSpLIQXNHU+glq2PMIgqK\nmE6MxcQb1wywKBWARS6pigK7AnCKCRAc0Jh2sFufhFXIMvNMbFriNSPCTLebKHCoEWvBhdxCuFyq\nOxqJY0LGVt7LaQPAHaHijawVP6zMsWiGI88JUQR4CDDFC4iNM8PldjywNDV3mXS1+D7qjjeXohmO\nLN0RqD/Hviju9EYdjuOgcZqRdsmuk4fEie4S0yytxiIyzR9A8z5W0wCNg80iGemEmsZSkayiBKvV\nBMXtYGXVqzTwggJRYnpPisyEm+MtIlwu1hee5yCZWBSRk1PcaUsBnhFeMyIKeY1nEXsCB0k0s7Ln\nTpfXMb7NeDpQBZF3V1DyeV+5o3M0sOpRAs9DEDRoGgeFySOxdE+NvWt93xmcfrQ7KlBTFaiA26nK\nKpBpHGAWJJYq6BZGFgSA50SjLf35A5jgvsDz7u8ttzAyxxw9rB/F915DsbPe952m3yuHU0GMRYDG\n8TC5vxjMggmFkCu1FDhAjpsyoQujAcCy/x3AyP5VN3kjCIIgCKJ8eOCBB2AysYmZoigwm83Iz8+H\n0+lEcnIyACA1NRXbtm2rUscNEHl5bp1QnDKhOS28F/4amKinSSyO+gD8HUKe5+A5xXAkeTogStPS\n8SWQbRS+2KkkiUzQki2Y/QV4g0UhlWZzDp7LNv0YVsHE67o8bOdrV5PIAwEiqjggqLNOFAQmROqD\nJLBFqtkdDlHkCOz8UjXNvej0x9f2npFUskduFPslXzA0RCyC/xjxPNZzgSQrYP1XAJPk75wKhiTw\ncHCsso7dXbbc6i6PLLpTl/Thpt9fk2hypy8JXmOWczt12IKRh0tmC06Jhb+4r0WPCFLB+aRV6I4y\nVVXcSstu55fMRH8FgVUfY3olEurXtOFPXc/G5OnYhBElxIFpFeml6SVRMKqXSSYeigrEWgTYXSoU\nuTh9TNdwsUqicU8EnkUnSQIPq0+qni70LLujRZhDR4RLBiRRF/B2u9s0HgV2GTZ3lILFJLor/vCG\n9hSv8Ii1WpGtFMLhlCGoPGrViEFCjBkax5yxHMdD5ISA99qI4gB7fuJjJGiwosDhhJk3QRB41K5p\nxdmsQnAaE9S1WVl/fNNdeJ6HJMId5ecx/kU14HuPg3cUHnMu8IaTRt/JahYRa7LCIprd+wlwat4P\nkf7eYw441k+XzMrJ8e60N0kQIGps/BXaXeAEFvmlgYfIqxAtAAcB8TYLnLIJGlQ4ZReLgAEPgRMA\nt+PV18npcqeA6tch8BycigxVU6FARKGTaS9ZJDOrsKQWO/F9xwfPuTWNJO+0Vt3xpr+fdP0ujoOR\nnqenqXLMJ+v1LtRTInUBbZeswuJ+30gCj0K7E4qiokhTYbFYkWCToIFj6VUCB15iz7unrpRnqqv+\nfmVaasypy8EjKkuPpJFZfxxuD3+x0wrgNN4dKSp4RDwCMWZzmX4siQRy3JSB8UPb45FXfgAA/LTv\nLzzQr2Wl3ziCIAiCIMrO2rVrsXLlSq9tc+fORbt27XDu3DlMnjwZ06ZNQ35+PmJjY419bDYbTp06\nVdndrTBCccro+5XktPDVytEXLXpqFNwLSFHwn2DrcBznFbHCtEgUY1Fb1qgi3/5bzCJMogjNFH4K\nWElIIm+UDffEYhK8olaC9QtwV70JUDVM4IPfg1AjokqKrgpVx8jzb8+IE1XTYPKICAp0vZ7Hejp9\nvLaH4aQTRc5dqtcETYOx0JJ4ADwTb9ZLFetODUXV4FCKHXaCAMgymOCpKADusvGFDhkxFgE8L/hV\nURN4HjEWHqII2B2qOwqGiZYKguBlF3atmt8YEITilCxPxybnjloyS4JXBTM9WkPkOVisTMNF/yHZ\nLHGwuxfLbikpWM0SRHe1Mv2eSGJx1IieBsNsxqqjxVpFLzvlFwICilNjRBNnVEvTnbJMo6g4lc3h\nVKCoKkSOR5244vemXl45lOeX43g/500Nmxk2qwRO42F3KOB4JpBrkSTwHIugUTiWxmazil7C5cHe\nZ4Hee3aXCFl1ep07xmKC4gJ4kUWGSAJzAJpF0bg2/f+eY1m3saDy4AUNnImD4na+CrzAnC4o1nPi\nBBWCwMOlqHA4mYMFPIvCsag8OJ6H06EZqWoiz6rCiQIX8LnxFQx3KjKKnE7mBJREpikEwGLmjFRJ\n/T3i+XyydzZLh1MUfax7O96YMLBgpGPpZzZEz3UtJ8B4xyuqBrtLgSqz51EPhOTA3i0uRXWnDzLH\nl+7P1p1QvlGMgdDfmWYIcMouXCywQ9EUCBwPsyQa90DVI34cetRN8fVbTCJcigpeYppRHMchzmIF\n73KUev7yhhw3ZcAkCXhjQnc8/uoWAMDD8zdTyhRBEARBVCOGDh2KoUOH+m0/dOgQJk6ciClTpqBT\np07Iz89HQUGB8XlBQQHi4+NLbDsxMQZiGNosZaFOnbgKbT9cCu0uv22KosLlThHR0xQEIfjCze6Q\ni3/xVVTDgaFHSAAsfL6kNkKlTp04KIoa0NFS1nMoiooiu+zWOWGLQUngYbWIIbcX55Ahy6pfG6LI\nqsiUdG6XzH5hV1QNIs+7U2WKbV7S9epaO77wHOd1Xs97VLt2rFENyvMe+R4T6NgiR3F0guexAKs8\nFipxRU44XSoSXC447Aor+ytyMIsCeIGDSWD/16/fKat+5/PVrNQjb3z387yuQLYscsgQOQ5yADsm\nxJr9xkDdOnFe492lsGgRh0OBzWJi90/gwQucMSY9baj3U78GvTqXwHOIi2GreE8NJV3/xXebw6V4\n3Q+dGk6ZCRhzxcXBFFWFqmiQJME4j+d1FdpdXv3yxOK+Bs9zB3ouFFWBU/F/n0AFcgrssMRo4MCh\nTq0aAJi2jCh6p/SV9gzrz4tvX2ILnCh0Oou1TMChNuLAcyxdyOFSoFfnskgmCO5y84I7Ha6094mi\nqMgrdFe0cz/b+viESTHEr4scLrhUZgObWURinA2yqsDhUGE1mcBzAiRB9Dre97mxxjjh8Igeyi0q\nhEUVjdTCWrVsAACR51HDZvOyS4HdZfRPg1vzxe0crGEzG9er21CySEgEi/LJL3KgyM6c9FaziIRY\nizGG9f31Z9Fik1BUxDSeRImD2coEr13uUuUut5Axi7wyQ5J4xFlNpb4PA91vh0uB1Wb1Gpv6e0J/\ntuOKnMgrYHZTFfYsiSIHQWAV+fSKaJLIIy6mcoWJAXLclBlW8o/lFwJwl1Ws5GLuBEEQBEGUG0eP\nHsW4cePw2muvoWXLlgCA2NhYSJKEkydPolGjRti6dWup4sTZ2YUV2s86deJw7lxehZ4jXHRRW194\njoNiCq0Sp2fqimekjWfEhO9iuix42s+3zHgkUT3B2isqDL0935QzHb9UjxCPZQtEGKkEvmXU9esN\n9bz6frVrx+JiTpERKeJ5j4L1NdT7WxDG/fVsU1M1OJxM3FmWWHpTvsc6Wj+nb9Uyp0vxivTylESw\nmLyXSvqv/IHGOxNaZdE0niLSJlGA6vR+BurUiUNOToGXzfX0FIHnkOMWqebcGk0md3SH5/V6prP4\n2t8VwJEaDIdTQZHbbp5oGlDI+0djmUQeTve5fM/jcCoodPifW1/0+9oz2Fhxyi7YXbKRAmSRRGgq\nb7Rdq1Yszp/PN2xukgSvtkt6T5Q01mVZg6ywSEHPNEqOBwRRgawoUBSmc+Pg1YApo6W9T4Kdv9Dp\nhN3Fqtvl24uggTkOVKcITnZHqSgaBFkEoMKOYjsHem4cTsXrWvLsheB5DXmchrpSLLIvFEHgRQgc\nD2eh6ndsIM0XnuOQn2uHIMBLN8wYu4IGlSUzwenUwGsicmTV7z3jcF+ny129SxdLBwCLmYfiVJFb\n6DSc2DariByXAlVTcV5kZeDNkhQ03c4X3+vRU6E4MDFt/RlTVBXZeQ6viBuACXmbTZIhVl7R38HB\nfpghx00ELJnUEyNf/B4AMG3pz3jl8a5V3COCIAiCIMrKK6+8AqfTiTlz5gBgTpu33noLs2bNwqRJ\nk6AoClJTU9G+ffsq7mn0EU7p6GB4pi9oHosmDZyx6ObKwbnie87y0Aoqr/ZCTV0LhG+6mr5I4d0p\naKrmrSOjLzKdmmykDYWaYqJXcSlJY6Kka9MFez21hYDwK6N5thlI1NhT24gDS2fzrSbkO2p1UVnf\nlDnPvwM5KY0KXj4i0p7lk4P1XdVYOpSvUwlwCzYHud5w7B8MUeQgKjx8y9ObJZ7pBzmYQLivFlSg\nlEJR5MA5OT8nEBPcZqXFPR0issz561GpKhSFg8RL0E2nKIBLcRkLfYdTgaqqRlqOb1+Cpf4B/s+J\n53ZR5KBqPEw+JtQdTOZSfAShPP/BnnFFM0FFETSoEKTiyCZRKF6um3xLr7sJ9Nz4XotDEeBQHIZg\nuQYNsuqCIPp3WH+fe6ZMAcUiwHaH6lXBS+A5KALgkGWIAg+R52ExsXeEyBdX6dOv3el23PAcYDJ5\nj3mzKEKwqlBUwe1AYemLTlmBS3HCwotwODkIvAKNV93tlnxjPCvFKTwPh4sJdcNdtU1R2LuCpUJy\nboHx4lQvVio++JiqLMhxEwEcx+GWTo3w1S+nkJ1X+XluBEEQBEGUH2+99VbA7ddccw3WrFlTyb2p\nXkTicPBtR1/4+P7iy7Q+VOQWaKz8tSk0zYzqRlmdP76LVX3R5bdd1tzirD46MyGKAws8S1MIRWMi\n0LG65kRZo50CHReKhlAwLR/fkvO6A8azUg3gvTgO1JbuyAomRF1a/4DAkWn+5yl/Z6PVzK7JKSuG\ng0t/vgQ+cIRIIGcB0/8R/IS/i5wKOKhQNW/hZgCGeLZOIMeKomqwO1jFJ0XVio/XmCiz770qSaeq\nJD0ngRfK5T1WGoHuIc8xUWI90obneHBuYXO9H6IgQORCqyjo+06WRB4qxzO9Gg98bed5rNOlGI4x\nT6edoqqQ4OsAVSEKTPPIE1lTIHjcY0PUOkiEJscBNqvoHnOy+3waHLITVrPgHgOquxoUD47zbj8Q\nns8rK1VenNZpiHq7dYJMAcThWb9LPEWlQI6bCLmr15X46hcmUqgG8M4TBEEQBEFcDpTngtL3F19d\nMNIkFpddZmLGuCSdN2XB15kQqLw1EF4VqYqkLOMleNny0sdBsKgws6l44abq4rMSV2L0UUltlXU8\nliQeXRH4OsDMJt4QrPUkXKesSRQhxHg7FwS+uAy8dx/8j9cdtp7pZoqquYWWmUqtUdiI42G1CH5R\nSiVFbpVm5/J2jIWKAplF2fASBEkwNG4kqXiMstSg0Psn8DwgqpBllt5lEkxQVNn4zCyyylbBjg3m\nYAl07wNFqbHtgZ1+gSKzRIHpNMmyPgY08JwGVQUkEX7RXkzoOcAgCnA+/Xn1PKen06pYLNxdacon\nXU4MYqfKhL7pIsRTzGzcwh+rsCcEQRAEQRCXBmyxyBtLPZZG4l+yO1jaw+WI72JVn6MGikYItYpU\ntFFSmktp6GPKswqQngIj8CzCxGoWYTYxvQvPvwOnjAVuq6wEczaEmz4WCroDTL/fzAHGUqIC4Wuf\n0q7Td38piFg7zwda6MNdVrp4oe10iwJLogBR4GE2sYivuBgTbBZTWPehMu0cDqoCo6w6z/EwCyam\nj6SyKk4SL4Wk5+KJ533mOA4CJ8AkmFHDakOcxQKTKILjQrOVXuXP7pTBcawSmyd6GqsvgdrXI7O8\n7pvIQwMHTVPd0U9M3JjnebCqep5V2dhx7LqKo4AcTia0rVc38zyf/rzqaYW+aYl6X0T394yum2SS\nmGOwqscHQI6bcqFJAyYgVGCXMevdXwPkdRIEQRAEQYROSZPQqmT9+o+xbNmScm0zM/MUhg+/22+7\n/ouvxSRCEnn89ss2TBj7ECZNGI1NGz8HEP2OhsrE15lgEoWAmimsjHbgRUi0R45H6nAK1wFRWW3p\n7ZW3MygYkTjAygLvrkzlcCks/UbTIImCobfijX8fmEnYYt4suW0usePL4lSqLDuHA0tJ4iGJAsyS\nCLMkwSJaYBLMMAumsJ02gPf9FD2O9xTfFbng7eq20p1pHFgqkSjoTpbiqL4YkwQhgCMuWPsmUURs\njIQYswSTJEAUBPAcvN5XAs+cdarGUjj1ik56uhfPcRA5ISRHpD5O4mIkwxnj1U+xOOIqGscHQI6b\ncmHSPdca/874Kw8jX/w+KgSMCIIgCIKofoT7a3h1ZuPGDZgxYxpycnICfq5PphVFwTtLF+H5OQvw\nwvzF+OrLT5F94XyJjoZodX5VJJ6L2BiLCItZDLgAidaog9Korg6nUClvZ1AwKjPiSlFVqO6qUmZJ\ngEkSwHEcOGhBIjTc0RAe4zbGLHplOeiEMl4DvQcqy87hYBICK5gE2x4KnvdTcJcQ59wRd6FG8eiC\nvZ7RJ2w7B4AzIvg0lQcPwYiACaV93/sQ6B7rkTc2sxkxZrPRHsdxsJpY++E4IkNxzETj+AAi1Lj5\n+uuvsXHjRrzyyit+n61ZswarV6+GKIp49NFH0atXr0hOFdVYzSKm3Hst5v9nl7Htofms2tTr47oZ\npcMIgiAIgiBKo6RJaCTaCw6HHc8/PwPnz59D3br1kJa2C40aJSMxsSZyc3MxZ858vPjibOTn5yEr\n6xzuuOMuDB48BLt3p2HhwpcRFxcPQRDQpk3boOdYtmwJatWqhUGDhiAjIx0vvTQXixcvDbp/XFw8\nFi9eirvvHhTwc11f49ixk2iQ1BDx8TUgChzaXn0N9uxNQ98+fQMeV5IWyuVEMD2M8hKTrmzKo3pZ\neVDeZeQrm8rU02E6JBwgCl66NRwXOIqB5ziA96/sJGrF/Q41CiISTaTKxiwxPRlZ9aigx7Pom7Li\nd581HlABXpNYqa4Qn5tAY0UXjtfLsDOBc1bBTiijkm+wcSkJzNnscIL1371Nd+KE74jUAEEBp6nu\nMuRVr18TCmUesbNnz8Yrr7zil98GAOfOncOqVauwevVqLFu2DAsWLIDT6Yyoo9FOy5REPDPsOr/t\nY0n3hiAIgiCIMKioX8M//fS/SEpKwltvLceIEaORnX0BANCnzy1YuPBNnD6diT59bsarr76BV199\nAx999AEA4JVXXsDMmXOwcOGbSEpKiqgPvnTt2g1Wq7XEfQSeh+JyoEZ8PCwmpnkQExMDh70g6OKr\nslNBqiPR+qtySURDGsOlEBHH8Uw3xu6UWYlud98rwgHmWYrZ7NYNMUsCgvmIgvXBbCoerxazGNI9\nr07vAYHnYTVJsIpmWEQzrKLZHVFSPrpJuqNFcwtwhzNuAzn0WDnvANsjsG1pkYC+UVt6/8OJxFNU\nBS7VZYgma5oKl+qCoipl7ndlUeaR0KFDB8ycOTPgZ3v27MG1114Lk8mEuLg4JCcn4+DBg2U9VbWh\nWcMa+PeUnn7bT5/Lr/zOEARBEARRLamodJCMjBNo27Y9ACAlpTESEhIBAMnJKQCAmjVrYsuWzfjX\nv57Du+8ug+wuPXThwgVjn6uvbh/y+cpT889ms6GoqNBYuDkdRYiPiw+6f3UV3yVKp6odTr4LU120\nNb/QVS1S8hRVhaIAgsAbaTMuRYMgVEwUSrjvs/J0zlW390BF6ibpjhaTyIP3ECwPxdESyKGiaVrA\nUuKR2Lake1+SEy6c1E9ZC+ygCbY9mig19mrt2rVYuXKl17a5c+eiX79+2LFjR8Bj8vPzERcXZ/xt\ns9mQn1+y8yIxMQZiEMXx8qJOnbjSdyoHRg26GkvX7zX+fm7ZL1j7wj+MULLqSmXZ71KF7BcZZL/I\nIPtFBtkvMhUoLhkAACAASURBVMh+4VFR6SBNmzbDvn170L17T5w+nYmLF3MApBiaBatXv4+2bdth\n8OAh2LnzN2zfvhUAUKdOHaSnn0Djxk3wxx8HvOZ4vphMZpw/fx4AcPhw+f1o17hxE2RmnkJu7kVY\nrTFIS9uFe+8dFnT/yi6tTFw+eI4rPYoBYOKy0ZyKo6MvgAWe89If0dSKeTbK8j4rr5Lc9B4otmUk\nTqxAqZVmKbAmTaS2DXbvS+q/wAshp34GKk9e0vZoolRPwtChQzF06NCwGo2NjUVBQYHxd0FBQYlf\n8gCQnV0Y1jnCpU6dOJw7l1eh59Dp3LIOOk/tjWNnLmLOe78DAIY+vQH/ntIzal/ipVGZ9rsUIftF\nBtkvMsh+kUH2i4yKtt+l6BSqKP2R/v0HYs6cWXj88YdRv359mEzes+OuXbvj1Vfn49tvNyE2NhaC\nIMDpdGLy5GmYPXsGbDYbYmJiSpzT3XRTX0yf/jR27fodV13VKqL+eiKKIsaMmYCJE5+Aqqr4xz9u\nR506dUvYPzq0UIhLD09ngKyoXtt1ItWjqkgqOwqlKvWULsf3QDD9pUidWL4OFUXlvPSDdCrKtqX1\nP1RnH8fxAZ00JZVFjxYqJASkXbt2eO211+BwOOB0OnHs2DG0aNGiIk4V1TRLqoGUenHIOMsmrA/P\n34yk2jbMfuiGKu4ZQRAEQZSNQrvLrTNy6U58o4Hy+sXZk8OHD6F//4Ho1KkzTp06ib1793gJB3fo\n0BGrVq3xO65167Z45533QjpHUlLDkPf15LPPvip1n9TU7khN7R5Se9VVfJeIfjydAZ7pgJ5pI9Ga\nigNUTRRKRbzPQj3v5fQeKEmMubydWJVt2/Lqv8gJcAVw3JRUFj1aKFfHzYoVK5CcnIybbroJw4YN\nwz//+U9omoYJEybAbDaX56mqDTMevB4j5n1n/H0mq8BQCicIgiCik0Mns/Hih6xS4Jq5/wjpmFN/\n52Prnj8xtFcziD4VFQrtMiSRg1TBKcEVhef3WCDemdILPM9BVTV8uvUERIGDxSyiz3VXVFIPiVBI\nSmqImTOfwYoVSyHLMiZOfKrMbU2bNhm5uRe9tsXGxmLevAV++65Y8W/8/vuvAdqYgaSkhl7btm79\nAatXf+C379Ch96JHj/AqlFbVYpG4tPFcsLKy1sxpw3ssWKM5Fedyi0Ipj/dAdakiVpIOjNlUnE4E\noFyuozLfseXlKNLTA2VNgaap4DgeIieUWhY9GuC08lSOi4CKDkOvylB3h0vBwrW7cfBkjrFt2C1X\noUWjBDSsbauSPoULpQpEBtkvMqLdfg6ngjWbj+Ke3ldG5cK8suyXX+SCwHOwmot/E1BVDfM/3Im7\nb2qOJg28hUQdTgVHTudgwUe7AQALxnRFQmx0OPl9HRXLp/YOuu+KL/7Aj3v+9Nu+dHJP8DyHh178\n3tg28h+t0PXqBuXX0Qok7UgWftxzBkN6NsMz/w6saefJ6+O64Ye00/jkh+PGtntuao77+rW+7FKl\nLuU5zaVAZduvuiz6woHGIMM3wkGnNDHdqrZfdR+TlWm/st7jqqDIIQf9zHNuVtXjr7pTVSng5Lip\nRKYt/Rl/XQis5TNt2HW4smGNSu5R6ESD/aozZbFffpELMeaypyNomoa/c4pQLzGmTMdHE+U1/ooc\nMs7n2vHpjydwW+cUnM+14631+/D2kz1gksrucPFc5C+Z1BOiwOHQyRy0SE4IWkLxTFYBPt+WjtG3\ntzGiMy7mOzBh8U9Iqm3DmawC3Hx9I2z69RQWj++OGAv7wtU0DSPdjoCFY1Ox9LP9yC+SMePB6/He\nxoPYnHbGOM8Td16NRZ8wofRnh3eE3SmjVUoiNv5yEut+OI5XxnRFfEzxTyWZ5/IRYxZRM95S6jVv\n3HESF3LtGNy9KaxmEXmFTox7nQmZNqgVg2eGdYTVLBh9BYBa8RbMefgGmCTB6zo8eeepXkF/qdQ0\nDcfO5ELTNLzw/k4sHt8NMRap1L6WhKZpmLpkO87l2PHCqM6oVzMG6388js9+Svfb95lh1+FCngNv\nrd+HXtc2xLBbrioxEuXGNvWwff9Zv+03dbgC993snT781vp9+PXg3xjcrQkGdG0SsD2HS8HeY+fR\nunFNrN18FKlXN0CzCvreyMl3YOLin8qtvbee7AFzBM9YSZDjhggXWvRFDo3BYsriBCH7RUZl2s/h\nVIKmlplN0fVjXah9pfEXGeS4uQwmOcEWKjpd29bHyP6tK7FHoRMN9qvOhGu/gxnZmP8flqZRll/o\nc/IdmLvqd2RdtBvbEmJNePr/rkOdBGtYbYVKxl95mPXurxh9exvc0LpeubZdXuOvtHQPAHju/o4Q\neA4zVxSH9deuYcH8R7tAVlSMemkzbr0hGXf1uhIAcP6iHZPf2ha0veG3XoXOresZVeUCvQeubloL\nA7o2xtxVvwdsI7luLJ66rwMsJgHLNvyBbfv+KvU6QkWPJPnspxNY/+MJAMCoAa3RuU19FNpdOPFn\nHto0qWlMSFd88QcOpGfjfG7x2OrWrkHAiJNI+6RqGuZ/sBOHMy+WcgTj9XHdEGv1duQcP5OLhrVt\nMEm8kaLqkhWoGnAh146Ms3lY+tkBY/+XH+uCSW8Gv5/lxdT7OmDeBzsDfvbK412x6deTOJp5ERln\n8yArWlAnkG6r73dmYtWmw8b2NyZ0h9UsQlZUCDyHDdszsG7LcSyZ1BOSWPKC4ssdGVj7/TG/7fff\nehXqJcYg81w+PvzmCADgzYnd8diCLaVe77PDO6JpUvDSzZFAjhsiXGjRFzk0BiOD7BcZlWm/UKNY\nooFQHcU0/iKDHDeXySRHX/gFI1ojb6LFftWVcO0XyMHw6KC2uL5l8AoaOqU5CJc91atCNJY8+ywK\nPGY+eD2efYelV+iLyLLiaT9V1VDklGHziLTYfTQLRzIv4s4eTf2uTY9i+Wef5sZisyyM6NcKy7/4\nw/i769X1MfIfrUNyBgFsga2oKh6ev7nMfagIXhubCpHnMea10hffQ3o2w8eb/Rf05c19fVugd4eG\nJY7jYCyf2hsHM7Lx9W+ncPJsHs7nOrw++37Xaaz66lBIbS2Z1ANnLxRh+vJfSt134l3t0aZJTXAc\n03l5aL5339+Y0B15hU5MXfJzeBdUASyf2hvf/p6JD75mjh79+VRVDSf+zMWcIA5Ez2io9746hLoJ\nVtx6QzKeensbzuXYvfZdPrW317Oha+BUBOS4IcKFFn2RQ2MwMsh+kUHO1+CEEgFG4y8yyHFzGU5y\nLuY7sPf4BZz8Ow/f/JZpbO/cuh5G3d6mCnvmT3naL+tiETQNFRb5EQ38nVOE3w7+XeIiN6VeHGY8\neD00TcNH3x1F7+uuQN0EK7JyijDl7e0Bj1kwpiscTgX1agZPfwrFkRBMr+OLnzNwzZW1kVTbBk3T\nUOSQIYkCCh0yatj81cfSjmbh9Y/3lHq+YOfMLXQaqTqqquHcRf/ULn0R3LlNPYwa0Mbr+hLjzMjO\nK16Y39mjKbq3T0Kcu83Dp3ICRjU0qBWDP88HTlssK8NubuEV8RApjerG4tTf+WEf9/zITjh8Ksfo\ny9tP9sC2P/7Gex5Op/IiLkZCXqHLa1vfjo1wPteOnYfPGdsm33stXnJHkPkyuFsT3HTdFYixSF73\n1iwJcLiUoOe+tnlt7DqS5be9TeNE7E/PDvdS/LjmytoYO6QdACAhMQbf78jAonV7A+67ZFIPP20j\nT8eIp7P0ide2oMAefCFXVTx3f0fMXvkbfCcEy6f2xtnsQsRZTUa6XiCOnbmIOe/9jg4t6mDMHVcD\nYE7ktd8fw003pKCWLbKUtpIgxw0RLrToixwag5FB9osMSneMDBp/kUGOm8t8kuO72F48vjssZiFq\nVOkjtV/m3/l+v1pXVORHJJw8m4e8QhfaNKlZ5jaOnr4YNOUlXG7p1Ahf/XLKb/v0BzqicX3/tIOT\nZ/O8Unxu7ZSMjb+cxBsTuuPxV4sjKq5uWgvjh7bzsv/Ied/5Ldp8eWRgG3RqxdKgSose82Xp5J5e\nlXY8x7znr/N6mo7OJz8cw4btGSGfBwAeuK0ldh4+hz3Hzvt99szw69AsqQY0TcPxP3Nx+GQO1pbg\nYIu1SsgvKnZO3NThCny7M9Nvv2VP9fKKEHlhVGc8vTR4dMW/RnTCkcwcP2fP20/2wMmz+bjyChZ5\n979t6Vi35bjXPv27pOCO7s3wd3Yhjp/JRUr9OEM8dvnU3lA1DVt2n8F1LeogLsZkPL/pf+Vi/oe7\nwHMchvRshvd8Ik98r7U0PK85qbYNd3Zvimtb1DE+V1TVb1Kz7/h5LFizO2AUVmkRSa8+kerlQHS4\nFLzz+QHkFDhw7HRuyP0OhG/Kz7+n9DT67vv+c8kKdh3JQser6oYdReL73LwwujMu5jtx4s9c3NIp\nGS+v3oUD6dlIjDOjc+t62Hv8AjLPMQdeUm0bZj90AwAE1OEReA4vPnJjuaV6laQ3FA5VNcGpSsrj\nehVVCVr1oirnNOvXf4zz589j5MjR5dZmZuYpTJs2Ce+991Gp+9rtdkyY8BimTp2OlJTGZTofLfoi\nJ9rn1dEO2S8ySGA8Mmj8RQY5bi5zx01+kQvjFv7ot3C+qlECDp/KwVP3dUCLRglV0jcgMvsVOWQv\np4HOU/+8FlclJ0batXLBdzG1aHw3r1ScYLhkFaNf3uzlbAg1daY0HritJbq3TwqYdgF4R7AcSL+A\nQruMN9fvC/i5jm/fJt97LVomJ0BRtbCcMKlXN8DWvf6aJjMfvB7/+eYIenVoiLc/3Y+6iVb8nV0E\nAGiVkoghPZuhhs2ET344ju37g+u06H0/mnkRc98vHyeYTmkpGwfSL6BOghW1a1hwIdcBUeQxYRET\n3W1+RQ08/X/X+dmxZXICpvyzA3ILnfjy5wwM6dkMAs/jQq4ddqdipIzpvPZEKuIDRDCVxNLP9uPn\nA2fL9NwEe34DVU76Ie00Vm48hIcHtEb9mjF4fuVvfseVVGEpUnz7NPPB65Fcr/SF+cPzv4ei+n+d\nTb2vA5pfUcPLqda/S2N0aFEb/3qXXZseMXMwIxun/s5H3+sbebVR3t8fejqjKPBYOrlnmdpQVQ1p\nR7PQunEiHluwxYhIA5g2kF7JytNh+teFQkzzcCZOvLu9UdHLl/IUEybHTfgoqgKX6u9ElXgJAi9c\nUo6bjRs3YO3a1Th37m989tlXJe578OABvPTSCzh37m8sWrSkWjhugEtv0QdE/7w62iH7RQbZLzLI\nfpFBjpvL3HGjM/nNbV6in55UZYRKKPbTNA2fbj2Bzm3qo75HKk8wR0a7ZrUwfmh7v+12p4zHFmxB\n2yY1MfHua8LqZ06+Ay5ZRe0aFrhkFUUOGR9+cwQj+rWC2STgu52ZeH/TYXAcsODxrnDKKmrFW0p1\njPjy3y3H8fm2dK9tVrOAuaNuNBb5ADCgS2O0aVITR//Mw63XX4Fz2UWQFRWnswrw9qf7S7wWz/N7\nLsR03nmqF+wOJaA2yfih7dGuWS2/7X+kX8BLq9NKPG9ZCaZj89F3RwJGDZXEi4/cCLNJwPjXtwb8\n/PmRneBwqZj9XvHCe/TLPwRtL1JHw3c7M5EYZ0a7ZrUg8LxXtEMoTr5zOUX474/H8fP+s3h+ZCc0\nrBMbUX/CJdjze+hkNl78cBdeebwrEuMCl+E+mJGNXw7+jWE3t8Cx07mIi5FKTNWLFE/nwnP3d/Qr\nIR4MVdWw5vuj2PTrKaRe3QAj/tHK6/Mih4xdR84h7UgWHhnUNqxIkury/REK+vv45usb4Z6bmuNC\nrt0rQqciRITJcRM+DsUJTfOP0uA4HmbBVGabOhx2PP/8DJw/fw5169ZDWtouNGqUjMTEmsjNzcWc\nOfPx4ouzkZ+fh6ysc7jjjrswePAQ7N6dhoULX0ZcXDwEQUCbNm2DOm6WLVuCWrVqYdCgIcjISMdL\nL83F4sVLg/bpp59+RIcOHXH33YNKddzs2ZOGevXq4/nnp2Py5GnVxnFzKUI2jAyyX2SQ/SKD7BcZ\n5Lghxw2A0tNPPMP3KxPdfqqmGQKW8TEmnM+1g+M4xMdIeG6Zv4DnzAev90rdAYDbuzY2Fr2BFtTL\n/ncAP7mr5uif/51dCKes4gr3gtdX9HLt5qPILXCVGMURLolxZrzyeFcAwJHMHJw4k4ubOyXjldW7\nQtLQ8Ly2QOPP4VLAAZi+7BeMv6s9asWbcTa7CBu2Z+Dem5oHjcjQr/1fIzthegCb+57blwK7C0+8\n9mPAzwZ3b4r+N6YY0QnvTOmFn/b+ic5t6iH9rzy88L63XswtnRrh7t7Ng54LAP48X2Ck8fhyR/em\nfmlAwZj3yI2Y+vb2oAvLiwVO/JF+AUUOGas2HUbtGhZkXbR7ldIuLzRNQ3aeI6Sy2dFAdXn/6aiq\nhkKH7FchqqqobvYribxCJwAYOlCVATluwscuB/4BBwAsoqXMNl2z5j/Iyvobjz02DhkZ6Rg27C60\na3cNhg69Fz169MKhQwfx119n0KNHb2RlncOYMaOwevV/MXz43Zg9ez6Sk1Pw8ssvIDGxZrk5bnRu\nv/2WUh03OmPGjCLHTRVDNowMsl9kkP0ig+wXGVU1r6m+cvaXKKLAY/nU3jidVYDjZy5ixRcHkdqu\nAba6S+0+PH8zZjxwPVLqV/5EdfG6vV6Co6Hg6bTRU1Rcsmo4bk78yfQ5Vmz4AwV2Gdc0r204bQDg\n9Y/34N4+zb0qsdx7k7ejIFC0TFnx1FrRRW+LHLLhsDhzvjAkp018TOkLTj0NYd4jNxrbrqgTi9Gl\nCFPf0Loedhw46+e0uavXlejYsg5q2AJHTujYLBLemdIL//nmiJ9WS7/OyeA4zsvx0619EgCg+RUJ\neGtiD+z44yze/fKgcc7SaFDLFlAwtk3jRPTv0hjd2ifhQq4dCbFm/JFxAe/8z19Ed92LA5CTXVCi\nQ6qGzWSkq/XqcEWp/YoEjuOqjdOmOsLzXNQ4bS41KtNhQ5QdjuODRtxEQkbGCdxwQxcAQEpKYyQk\nsLTL5OQUAEDNmjWxZs2H+OGH7xETY4MsMyHtCxcuGPtcfXV7ZGaGFkUZJb8NEgRBEES1hxw3UUrD\n2jY0rG1Dt3Zs0aw7bgBg1ru/4vVx3bB512kcybyIcUPbVZiIsS4kGinP3d/R0BWRxOKJp69+RtrR\nLL+/fbf959uyl3QuiZceZZPZhWNTMc6dojNi3nfoc12xE2DL7jPGvx/s1xJrvz+G5x+6AWcvFBrV\niwZ3a4L+XRpXSB8B4KbrrsCOA2e9toWTUgKwhfF9N7dAj2uScCAjG307XhFSGp7ZJKB7+yTc2KYe\nBIEPOXXvyXuuRaFdRtbFItRJsOJ0VoFR9r6GzWQIznZuXd/PcbNwbKrXmCEIgrjUETkBrgCOG5GL\nTHeoadNm2LdvD7p374nTpzNx8WIOgBTw7kje1avfR9u27TB48BDs3Pkbtm9n34V16tRBevoJNG7c\nBH/8cQBxccF/PDKZzDh/ngnDHz58MKL+EgRBEATBIMdNNeGdKb28IkvGLixOdVnxxR+oXzMGksCj\nacMaaFw/zqt6T1kIt2IQALw2NtUo7ex7vK9T4b6+LYxSuWXlgdtaGpEfOn06XmGUVp83ujOsZhFx\nMSbM+2AnDp/KAQCMG9IOjevHwSGzSfEb6/aC5zjUqsEiKHx/kf7md/8KQtdcWRvd2iUZjrUaNlOF\nCrZ6ojs8dN6a2KPMJUWvqBuLK+qGr7fiW/o4FGIsIpItbLLvew06PM+ifWRFjXgMEwRBVFf06lHB\nqkqVlf79B2LOnFl4/PGHUb9+fZhM3t93Xbt2x6uvzse3325CbGwsBEGA0+nE5MnTMHv2DNhsNsTE\nxJTouLnppr6YPv1p7Nr1O666qlXQ/QiCIAiCCB3SuKlG6MK6ofLOU73wZ1YBkmrb8PP+s9h1NAui\nwOHn/SxaQ6+k4ote8SQYL4zqjHo1Y3D8TC6+35mJB/u1ClilR9M07Dychaub1oTJpzqJLkDsSe8O\nDfHdztN4+bEuqBlvwYbt6fjkB6Z/MmpAa9TzqHCjC2vm5DswcfFPAErWdZEVFWeyCkKqTgMwHYhx\nPsK4CbEm5OQzfYjJ91yDVo1DLxle3uNv06+nsPrbIxh7Zztc07x2ubUbrVwKz29VQvaLDLJfZJDG\nTflTVpvu3bsbRUVF6NSpM06dOoknn3wCa9Z8WgE9jG7omY4csmFkkP0ig+wXGWS/yCBx4iid5EQb\nZYmEKYnlU3vjzfX78NvBvwGwylWL1+3FriPe6UnzHk/FtrRMDOrWtNzODQC/Hvwbb63fF1RwVlZU\nZOc5UCfBamzTy2lWNJnn8r10ZJZP7Y30v3JxJqsAXdo2CKutS2X8VRVkv8gg+0UG2S8yqqPj5tix\nY7jrrruwbds2mM1mpKWlYc6cORAEAampqRgzZkyJx0frnOb8+SzMnPkMZNkFWZYxcuQj6Ny5S5n6\nMG3aZOTmXvTaFhsbi3nzFvjtu2LFv/H777/6bZ82bQaSkhp6bdu69QesXv2B3766gHJ5QM905JAN\nI4PsFxlkv8gg+0UGOW6idJITjSiqijNZhaibYMWExVthdyoVdq4HbmuJzq3roWFSwiVjv3BQNQ0/\n7f0T17Wog5hSSj6XxKU0/qoCsl9kkP0ig+wXGdXNcZOfn4+JEydi79692Lx5M8xmMwYOHIhFixah\nUaNGGDVqFCZMmIDWrVsHbYPmNNEN2S9yyIaRQfaLDLJf2VBUFbKsoWYtGy6cL4AoclVSrbi6Uy2r\nSn399dfYuHEjXnnlFb/PZs+ejZ07d8JmswEA3nzzzRJzoonQEXgejdy6JG9O7GFsP51VAJPIIyun\nCC+tTgt6/Mh/tMKyDf6Ve3zRU5YuZ3iOM3RsCIIgiEsbTdPw3HPPYeLEiXjssccAMEeO0+lEcnIy\nACA1NRXbtm0r0XFDEARBENGEoqpwuopF71VNg9OlwSSBnDfVhDI7bmbPno2tW7eiVavAwnP79+/H\nO++8g5o1Q9cBISKjYW3mJKuTYMU7T/XCJz8cQ4OaNvx68G88PKA1YswiVE2DKPA4eTYfX/9WXM7z\n9XHdvASP42Oky95pQxAEQVy6rF27FitXrvTalpSUhH79+qFly5bGtvz8fMTGFou422w2nDoVWjls\ngiAIgogGZDlwko0saxBMAT8ioowyp0p98cUXqFmzJj766CO8+uqrXp+pqorU1FR06NABWVlZGDJk\nCIYMGVJiexRWXPV4Cga/9kQq4m3FTzHZLzLIfpFB9osMsl9kkP0iozqlSvXt2xf169cHAKSlpaFd\nu3ZYsmQJ7rrrLnzxxRcAgJUrV7r1YUYGbUeWFYhlqL5HEARBEBVBod0V9LNI5CCIyqPUiJtAv0jN\nnTsX/fr1w44dOwIeU1hYiP/7v//Dgw8+CEVRMHz4cLRt29brFyxfEhNjKnySE42VJ6KNd6ffDIdL\nQVJt/xLRZL/IIPtFBtkvMsh+kUH2i4zqYr+vv/7a+Hfv3r2xfPlymM1mSJKEkydPolGjRti6dWup\n4sTZ2YUV2k9yJkYG2S9yyIaRQfaLDLJf+DicClR3vEbt2rHIysoHwGQhCkz0Q0M4RK3GzdChQzF0\n6NCwTma1WjF8+HBYrawSUOfOnXHw4MESHTc0yYkeJPhHQJH9IoPsFxlkv8gg+0UG2S8yqlPETTBm\nzZqFSZMmQVEUpKamon379hV+ToIgCIIoL0SRg9Pln2gjihVfqZcoHyISJw5Geno6xo8fj/Xr10NV\nVezcuRODBw+uiFMRBEEQBEGUO999953x72uuuQZr1qypwt4QBEEQRNkReB4mqVjrhuc4qipVzShX\nx82KFSuQnJyMm266CQMHDsRdd90FSZIwcOBANG/evDxPRRAEQRAEQRAEQRBECAg8D8HENG0oPar6\nEZHj5oYbbsANN9xg/P3ggw8a/37ooYfw0EMPRdI8QRAEQRAEQRAEQRDEZU2Zq0oRBEEQBEEQBEEQ\nBEEQFQsltREEQRAEQRAEQRAEQUQp5LghCIIgCIIgCIIgCIKIUshxQxAEQRAEQRAEQRAEEaWQ44Yg\nCIIgCIIgCIIgCCJKIccNQRAEQRAEQRAEQRBElEKOG4IgCIIgCIIgCIIgiChFrOoOVDSqqmLmzJk4\ndOgQTCYTZs+ejZSUlKruVtQwePBgxMbGAgCuuOIK3H333ZgzZw4EQUBqairGjBkT1IZpaWl++14u\n7N69Gy+//DJWrVqFjIwMTJ06FRzHoXnz5pgxYwZ4nsfixYuxefNmiKKIadOmoV27dmHteynjab8D\nBw5g9OjRaNy4MQDg3nvvRb9+/ch+QXC5XJg2bRpOnz4Np9OJRx99FFdeeSWNwRAJZL8GDRrQGAwR\nRVHw7LPP4sSJE+A4DrNmzYLZbKbxV0nQnKZ0aF5TNmheExk0rykbNKeJDJrTREa1m9NolzhfffWV\n9tRTT2mapmm7du3SHnnkkSruUfRgt9u1gQMHem27/fbbtYyMDE1VVe2hhx7S9u/fH9SGgfa9HFi6\ndKnWv39/bejQoZqmadro0aO1n3/+WdM0TXvuuee0TZs2afv27dOGDRumqaqqnT59WrvjjjvC3vdS\nxdd+a9as0ZYtW+a1D9kvOB9//LE2e/ZsTdM0LTs7W+vRoweNwTAIZD8ag6Hz9ddfa1OnTtU0TdN+\n/vln7ZFHHqHxV4nQnKZkaF5TNmheExk0ryk7NKeJDJrTREZ1m9Nc8hE3v//+O7p16wYAuOaaa7Bv\n374q7lH0cPDgQRQVFWHEiBGQZRlPPPEEnE4nkpOTAQCpqanYtm0bzp0752fD/Pz8gPu2bt26yq6n\nskhOTsaiRYswZcoUAMD+/fvRqVMnAED37t3x008/oUmTJkhNTQXHcUhKSoKiKLhw4UJY+9asWbPK\nrrEi8bXfvn37cOLECXz77bdISUnBtGnT8Pvvv5P9gnDrrbfilltuAQBomgZBEGgMhkEg+9EYDJ0+\nffqgtD45vgAAIABJREFUZ8+eAIAzZ84gPj4e27Zto/FXSdCcpmRoXlM2aF4TGTSvKTs0p4kMmtNE\nRnWb01zyGjf5+flGyCwACIIAWZarsEfRg8ViwciRI7Fs2TLMmjULTz/9NKxWq/G5zWZDXl5eQBv6\nbtP3vRy45ZZbIIrFPk9N08BxHIDgNtO3h7PvpYqv/dq1a4cpU6bggw8+QKNGjfDGG2+Q/UrAZrMh\nNjYW+fn5GDt2LMaPH09jMAwC2Y/GYHiIooinnnoKzz//PAYMGEDjrxKhOU3J0LymbNC8JjJoXlN2\naE4TGTSniZzqNKe55B03sbGxKCgoMP5WVdXr5Xo506RJE9x+++3gOA5NmjRBXFwccnJyjM8LCgoQ\nHx8f0Ia+2/R9L0d4vvgxCmazgoICxMXFhbXv5ULfvn3Rtm1b498HDhwg+5XCn3/+ieHDh2PgwIEY\nMGAAjcEw8bUfjcHwefHFF/HVV1/hueeeg8PhMLbT+KtYaE5TMjSvKR/oOyUy6DslPGhOExk0p4mc\n6jKnueQdNx06dMCWLVsAAGlpaWjRokUV9yh6+PjjjzFv3jwAwNmzZ1FUVISYmBicPHkSmqZh69at\n6NixY0AbxsbGQpIkv30vR1q3bo0dO3YAALZs2WLYbOvWrVBVFWfOnIGqqqhZs2ZY+14ujBw5Env2\n7AEAbN++HW3atCH7lUBWVhZGjBiByZMnY8iQIQBoDIZDIPvRGAyd9evXY8mSJQAAq9UKjuPQtm1b\nGn+VBM1pSobmNeUDfadEBn2nhA7NaSKD5jSRUd3mNJymaVq5tBSl6JUDDh8+DE3TMHfuXDRr1qyq\nuxUVOJ1OPP300zhz5gw4jsOkSZPA8zzmzp0LRVGQmpqKCRMmBLVhWlqa376XC5mZmZg4cSLWrFmD\nEydO4LnnnoPL5ULTpk0xe/ZsCIKARYsWYcuWLVBVFU8//TQ6duwY1r6XMp72279/P55//nlIkoTa\ntWvj+eefR2xsLNkvCLNnz8aXX36Jpk2bGtueeeYZzJ49m8ZgCASy3/jx4/HSSy/RGAyBwsJCPP30\n08jKyoIsy3j44YfRrFkzegdWEjSnKRma15QdmtdEBs1rygbNaSKD5jSRUd3mNJe844YgCIIgCIIg\nCIIgCKK6csmnShEEQRAEQRAEQRAEQVRXyHFDEARBEARBEARBEAQRpZDjhiAIgiAIgiAIgiAIIkoh\nxw1BEARBEARBEARBEESUQo4bgiAIgiAIgiAIgiCIKIUcNwRBEARBEARBEARBEFEKOW4IgiAIgiAI\ngiAIgiCiFHLcEARBEARBEARBEARBRCnkuCEIgiAIgiAIgiAIgohSyHFDEARBEARBEARBEAQRpZDj\nhiAIgiAIgiAIgiAIIkohxw1BEARBEARBEARBEESUQo4bgiAIgiAIgiAIgiCIKIUcNwRBEARBEARB\nEARBEFEKOW4IgiAIgiAIgiAIgiCiFHLcEMQlSGZmJlq1aoWBAwca/91+++34+OOPq7pr2Lx5MxYu\nXFjV3fBi3bp16NmzJ0aOHFkh7X/88cd45JFHKqRtgiAIgiCKWbt2LYYOHYrbbrsNffr0wYMPPojd\nu3dH3O7GjRsxbNgwAMDChQuxfv36Mre1Z88eTJ8+PezjZsyYgd69e+PVV18t87mDoWkapk6dimXL\nlpV72wRBRI5Y1R0gCKJisFgs+PTTT42/z549i/79+6Nt27Zo2bJllfVr7969uHjxYpWdPxDr16/H\nhAkTMHDgwHJtNycnBwsWLMBnn32GG264oVzbJgiCIAjCmwULFuDXX3/Fa6+9hoYNGwIAtm/fjtGj\nR2PdunVISkoql/OMGzcuouOPHj2Ks2fPhn3cRx99hM2bN6N+/foRnd+XY8eOYdasWdi9ezeaN29e\nrm0TBFE+kOOGIC4T6tWrh5SUFKSnpyM5ORkzZ85Eeno6Ll68CJvNhpdffhlNmzbFsGHDUKNGDRw/\nfhz33nsvrr76arz00ktwOp04d+4cunTpgrlz5yIzMxP3338/OnfujLS0NMiyjClTpuCjjz7C8ePH\n0bZtWyxYsAA8XxzYt3v3bqxevRqKoiAuLg4pKSn4+OOPUVRUhNjYWCxZsiRov86dO4cZM2bg+PHj\n4Hke99xzD4YPH468vDzMmTMHhw8fhsvlwo033ogpU6ZAFL1fb3l5eZg1axYOHjwIjuPQrVs3TJw4\nEfPnz8fevXuRmZmJ7OxsPPDAA8YxgwYNwpQpU9ClSxds2LABU6dOxa+//gqLxYJnn30WrVq1wn33\n3RfU5l9++SXq1q2LKVOm4Icffij3e0oQBEEQBCMrKwsrV67E119/jbp16xrbb7zxRkydOhVFRUUA\ngN69e6Ndu3Y4dOgQJk6cCFEUsWTJEjidTly4cAGDBg3C+PHjAbDIms8//xwJCQlISUkx2pw6dSqa\nN2+OkSNH4tixY5gzZw5ycnKgKAqGDRuGIUOGYMeOHXj11VfRqFEjHDlyBE6nE9OnT0dKSgpef/11\n5OXl4emnn8YLL7zgdR1HjhzBv/71L+Tk5IDjOIwYMQKDBg3CP//5T2iahocffhgzZsxAx44dAQDZ\n2dno1asXtm3bhpiYGEyfPh3Hjh3DBx98AAC4+eab8eabb+LKK68MarsPPvgAd9xxR7k5tgiCKH8o\nVYogLhN27dqFkydPon379tiyZQvi4+OxZs0afPXVV2jbtq3xBQ8A8fHx+OKLLzBs2DC89957GDt2\nLNauXYsNGzbgu+++w759+wCwlKzevXtjw4YN6Ny5M+bMmYMFCxZgw4YN+O2335CWlubVh/bt2+Oe\ne+5Bv379MGHCBADsV6dVq1Zh1apVJfZr1qxZaNy4MTZu3IiPPvoIa9asQUZGBubOnYs2bdpg3bp1\nWL9+PbKzs7FixQq/6589ezYSEhLw+eef45NPPsGhQ4ewfPlyTJs2DW3btsWUKVO8nDYA0KdPH/z4\n448AgB9//BE1atTAb7/9BlVVsXnzZtx8880l2vzee+/FmDFjYLFYwrtZBEEQBEGERVpaGpo1a+b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oat4eLXGi5+rbG3x++RRx4miiKWLDmJNWtW89GP/gO33PKLiR5Wk4m6r9kvHTe7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\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RLCz/JhXP3DsY8bFM7N8UlLYsSlVkmJYNvdikG1Vl4IaIiKgmVDpwM2bMGIwZM6bC/Xw+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0yAK6bSzWJHZDIFZnzrJ1xCALiDllei2RlZQydzZT3QU2tI3GGlnY7keJTC1bx8U+VHeFLEh8\nMZwtPX1jpbJ9nCVuUcpxZ1/cHhlnYE6J05VnUaNb05RYdk6cKAcXSI2UHKI3QG1c8Vw/6ciXdqAP\nO/qX4x2NOzg+krBP6tdEhCnMc+LObq474xpvMm1jOF01x2hRiIntENmNc43fyGMLBFcWoYe2tVXn\n2evAZh/wrXA4LraRvlVcX8kxeOpiJMREjJFUhFFkawvX0hlhXhyef41l9I0lF4nIRSsxIVU5H20j\noOXje97KQlgrcUndWLdHV8wYE3k/sx0CvhVXxemyPR6znAvbIXKxnzjfTFirWVYAb8wibvW1aSfE\nhFEa4+4t7qeQj4vZMaRjRXvrNNkoxpDk3qfA4CPemMoViSy8YXfJhaSVfK7E+t5fX7aE2iS1GwNT\nSCw7z6qVc2YbIt4o+tYLmNxb5kuRk8tigrP3ODC7Yb7PRXEQytpLkN+U84e05d0869lcDKTa8rXZ\ny7WViwB7fWXiKCVRSF/PkcP7po0ihsRmqMDjGrEEjlXrBxcGSJRRhM1W3Hr1ejo893LfBuGBhHRv\nQsyM6R4H5mThOVmIeHp3N6KViCPL7t77e/k4ybWjKwBaHQWMVe/FldbYI8/xstvm8hx+X6QKhj5c\nO4fnpw001qK1Jtd67sPxB47XwenKY1SLvsGRxbMfRdA4ROiWnQg8l+NFzh6A5cJ+CqlgTKz8MIlk\nHl7ufgisFv4oHIE4zpzVx8Yn7wxzBQwPo8Sipjmx2c9YXd1WRjb5pypCj3Os73Vh1QlLCeQzeGU9\nU0hHse54TjrDDddxY32vUObmWc8T8ekFso/nXAk3n+Lztje/jv/2L/748c9/+e/di0n997/rC49w\n1q/6gpdijebn3n3nwz7e7/zq1x6Fm9e96joApdy7KFcLz5/7/V9eq+4+/qfX04k2IMr11Xx6zWOf\neZ3HPvP60/7d00WlruZqruZqXqzTVF7B8zWtM8eFt7OGs5UAaJ1Rx6hDU9twtNakkvnAkzueuvA8\neXcUIDCFmAqpwEnvWC2lBUlqgzWnS2GNKIRr46xGGw1KcXczSUVzrrW4i4abJy3XrrV4I1yVgwsj\npUxUitaLGyOEws2zlsfv7Amp0DeF1tmjfV4pUBrO2obFQhYUWStsyTR1hzpmESSWraPxhvPdLJwb\npTjtG5Y17rXdZ9raljXMAj/2WhGjxGUOgFaQhdDtaay74JqUDi4AacxyVnN9LSDNNASmlEhJnDzo\nzJ3txPV1R+stt0dxJkgMJNeYjCxCdmPAG8utax1952pcBhatJ8YRrw3TlHBOFuBaKZ48H0FROTEi\nTGilMFazsobdIPGsWFu0HoyUPOjuurw4N0I0PrognjgfpfZaGyafjrvmIWY2gzSB5ZLRShO8ZhUz\n1h0WkyLGHdw2271UbetCBdjKz+9aJ8DcXNiN0v6klSIm2XVfthKT8UZ2yK0J7EeJsega8xpDYInw\na3Jl6ky1wcg19y+MH5zH7+y5fTEewc5WS3MZiAh0WXw6XTZopdjPEp3TlRVykAhiFvfOsvPMKR0X\nvgfujQJy70mpEHM+um0O8bxDTPHwnlxbt5xX2GsLzEoxBqklX7TCeNHAZhTh4/QS/LWx5riI71vH\nfgzsxsg0V2HFaqhQWBEcpIb6wFq5zAp5Oohr4zTjfD9P8uB0ab387IOL5OmE6dYZ7k5TdagJfHh5\naALz5ujMODS4HgSNEOVcOt9OR3fMFDKLRkTWKSamkI6v4TCmRkIPAuicBBbeeYtR915H1xq2+3vr\nkAOot+/c0Wm2r87FvrU0vr8vXgmQSj6KLJedbfspsnhg49Fodd/xPfy7B+fwOLt0T2SZQubuOKG4\nJ1TK+SYuQAHMq/ugy4fXAAf+UD4yg7qjS+eeY6ipLWKXYcmH4zpWbtBcWWmpFE56j5orU6zyhvoq\n+MC9wpE5JO5eeg9BhNmUpLWwdYaL/cxmH9BKs3pkcQSQg1yb8xwZgzjLppg/6dcLV8LNp/i85MaC\nlz205Im7A6UU3v7/vv/4d49cvwcKPnwgPh0f5MH5nm/9Nff9+XIO9aS/37b2u77mtfzlS/XcwNHy\n9/Gc9Udo17iaT695sHb9ZHnlpLqaq7maqznM5YX3s3XxqAJNbZi5s5mJWW7Qb11fsO49Keda5+x4\n+NTx6I3FMTpxsZ853wrjIGdZoDSDIUWJ8VxftyxbX4Uicd+oCjIeKxjTGXGkWJuxxvCSh1dcX8e6\n2FAYp1h4izFy87/o5DlZq+kXnrE2c3lvaBH7/MJblJbF/Tj//+2de7AtVX3nv2utfu7XOec+UFEu\nbxyQQSTEOzNeFQ2GhKiMTq5GKlIlGsUKpnwiYCiluFJahhpr0JrRKSZxLGcCaiVVM1U+mMw45IqS\nDAMaYDCJISpg4L7OPWc/+rVWzx+rV+/u3r33Ofu87zm/TxXFPfv07r169dp9+vft3+/706ampjwF\n0AHMQj9Gw9OeNOZpdC9IwLKyahOkG4+ShmuhO4izFso6CBHZ025mM4S9KC+/UKkuV+FSYDGKMxHN\nRbvhoJeZmAIsfzCWG71mWSLHFwLdypoBltClTrPtoRlskigMwhjdIEbL14asg0g/FTftrNsNGzNN\nByoryTCG0UkmSogxgY0RCzxboBckiBOpzX2zh3uWAAZRAh86sNOtnRVsiyFOmBZvUp2t1MmOL4xV\nHvRKqc1ck2yeOGewoDNUOg2djdELYtiZV405ZodzuK6lRYdUl7F0BwkSlcKWDDZ06Y3OAtDdwVKk\npeDYBNl1RLHU45TDrBnz8JBxhmMLWtgMIgXb1mU6QSLBHAvI1p3vWDpTTBVFsgQsAYJIah8T3849\nQEynpWGQPczwAgrBv9TeQTNNB4JzDKIYjmOhoSzsag8zaOa7oRZYY4W9jshMWnkuIBkRQaX6/tqU\ndRlipfL5KnqtBFlALaXuWmVl82ywLYG5js5uMBkTDdcqZdZMwsl8hozXEKDFhzQ7L17mCwSUM37C\nWGEQJHhufoDFXpRngUWxhb2F1uxm7AY38/CKZLYGGdcd2xKF54730B1EWnSyBZSb5tcHKXXpHsvW\nn05gGXbtq4o2gM7wqRMKq6bFelyi5HFWFOKLFK/pluB5NmCcCZRFbItDMI6ZtjMiAtmWQEswRFGW\nRZe1dTf7MHNu9l93HOYaEWeeSbqFuEIUSSSOQqthYe+MB9vS5UthrEtIHUtowTETf8LqA3yms58i\nqeAIfR6NkOvbVp4hxJju2udYHFZmsN3MulwVM5am+Zu4EZBwswNoehZ+EUn89NmF0uvVlmfAyjMT\nPvI7l+Lp57u5YZzhNS8/Ha95+el45kgXt93zVwCAnz6zgAvOmF3R5yyHc0/v4OKz6zMviJ0Jq5jc\n3P6utfNZIgiC2A5MMi6uwxir6g4gNuLMpPS02QbaDbtkSlq94TWGj9KzcPruNmSW8cIYw2zbyWpV\nmDbJNLUxDIiVFm049BNhzlK0MmNazxZoudp3JM5u2h3HwmzDhgIrlSC4DQeDXowgTHSgIIE9s672\nRwHgu9o8sxScJgqKM8wHIRq+nYtKgjMdtDCWBxiDKM6yBfRT6kGkM2a6QZyXKAA6E+j03Q0IxtAd\naFPeMNImw2GsxQqbM+yea6Dla+PaQRSDMeQlEnGiwAD0gliXwmQCg1K6bCSRClwxRFmJSz/QgpWd\nzatSKRYHEVIOnW2iUiiuA+hqpoKhFyRY6EdY6Ecj59ic56MntSBk2nmbuTTdgRwhYAmZrz0O7Y8z\n3wvRbjhouLrcJMqCSu33ooM0znRJWjNbd4xztHxRKlcxZsaDUGKhH2KxF8PNOsmk0F4vguu14ls2\nPFtnMwjBMdOwC14aOttgXB53EEu4drnrDGfAc5n/ipRAu6n3Z3EbSaK0V0jWVQgAZpq61XkviHMB\nhCemlTMy21oAACAASURBVLfKy08AHRSHcdaWutL9NIzL/hwq80uSKoVtMbR8PzMsjkoZNFqU4/Bd\nXUKSJKokXnR8LaQMA/g4E950RlAQyaw8ari2+4EuWfPcRAsrjKEfyrx80GD2jc6YCV4CzrVfk/FS\nMkIfAHjQ/lJGJCj6/hxfDDIvq8zQOFZIVYKen2DOcXPxwQgiQSb4RbEuy0qVAgNDEMZouBbm2h6k\nSrE4iHU7bteC5+proFJBvp70mAFAryvPtcZmx1RxbF0OeaIblnyNjOl1cTtgLUSHtCQCmeubVApt\n30anYSOWVv47k/niVq71dQjB0B2oodG4VLDA4dkWOm1Xi42Ml/YLDM8nMGzVXcSzBfpK/93IRd6s\nY5tl6eLKMDMHB5D7VxUzCgHtaVTMoioaPG+meEPCzQ7A1O/dmXnPAMCXPnrFst77xQ+9Bl/59pP4\nq//3PD71rl8du93LztpV6yNiePHeVv7vz3zt/45k7ayERNb/Gf3EdZevet/E9uPj174Cn/0vj+Bd\nV/8z8i4iCIJYJca00cuClmmCg6Lho+DaQDhOdJkNYzpzRFgCFtMZMUmig4VBoOA7FmQq86wTz7Ly\ntPhYaoNN0z3HEhwKDFbhbjeMFVzoMpk9M17B/LPcutiyOQRjeWlP0cy0n2Xr+I4FZAFunAxLpIzJ\naZJY8LKuKYC5bxnOT5yk8B3dnlylgEx0llIUazGmH8Y4thCg3XTgOAIt38Jps14pcFNZtoFp42sw\nbZD7UaLHyZD5lzDMtbSfRJx5BFmCw+YcLVeXkhUD6zqj0ziROD4/yAPOalDj2AK+a+X+LXEmVpjx\ntRraaJYLlps1m8/hmeeMLnuzSmbE+TYFkcRz9GfNtV3MZn4X3X6cl48oFYClgGVlWT2MYaZpZx2M\nsrboNkckFSzO0fIsONnaMiKYftqvxbfqGjdZLbNNF/O9CFGUIJIpkKYQQkBl3jNIFfqh7gIEMHhe\nAoFhdkI1Ez3vYsPKD1WNQCHEaOa6VMMuN91+hJM9bfpqWoNLlaJROi4z51mGhKONYAdhAp4w7evi\nD++1TQkOZyh12LGzdtt+3u1LZ1uZYFiqFBKpNoLNWsevVQaDGZMpzTke6oYs1e5u/SiByLyIFnoR\n+lk5oDEHtoQW2aJIaREqG5eX+aj0wwSDKM66j3HEie5GpDBqz2AENJNpMgiTksG1IZHpxOwYQGcO\nVQWYF8w1lhRlxgnxuUl0U4/ZfIeNWFfEmGkDWsg42YsgM/PpfihzgUrvSWfhmHLapc6vZwscVwqO\nVTY+12VnDJ4lECQSxxdCyFRf94vXpoVBhCjSYjRQ8KPKBE7XthBLCcCFlXkBAUNPn6ZnwxIMQSjh\nOqzUTh3QGWAtf/Q7Viz/2wxIuNkBnPOiDv7+6ZOl12xrfKnS5S/di//zkyO46Kw5+K6FG665GLe9\np40jRxZXNY6Wb6Ob3ez0g3jV5rDv/dz38n9f8YoX43uPPIMbrnnZqvZJbF9eum9uTQRDgiC2P/ff\nfz++/e1v46677gIAPProo/j0pz8NIQQOHDiAG2+8cZNHuDWYNkun+t49tp8/aS8GKIA2EB0Ugnoh\nOGZbNlIFHF2IwaEzKiQUXItjV2fYKbD4hFYqBZdZQ78epQN0E9SZbYsCAQA0nGHQ1x3E+ZPdYpeh\nMNG+GrbFkUiTfZDoTkxZFsaRhUC3zI11u/HE1gFSkigwoUWb2ZaLIycHWBzo7AgwnRFjWxyDUKIX\nJZjJhK5Ww4GCzgAIY5UF5jwvM8tJddcZFnO4jgVbaR+Zhq9b7S4OYniuNpAdBAmkkyJMFBaDGLta\n5Sf2VcJYwVWjD8+KQY0QLO+QZEpvAJ3hw1LkYo7FOQI1FGRmW8PgLGXD0hDHErVmycUyEbOmOr6D\nIJY42Y3QabuQCrCDSGcA2QLCYkiVFtK8rI20y4DTZn1YQuTn2hjBAkMfkWKQHcQyu69Ns45OHo4v\nhLpE0HEw07IxCBN0gxiDIEEQKrSbukTtZDcEUwozLVdngdm81OraGLICOigtZleIWEE4rGTeKziH\n72XZTgsDPHdcd1u1OIdCikGUoMltcMHQ9h3Md0Oc7IaIZJr7i3BYSIQAGPIOTIuDGP1QYq7l5CKD\nSnWAbVqDG18bk92cyDQvWTIlYKbl91zby7qLTUdVwOhkolPVn8tzBTyURZs4kegPEqTQWUiDTIjx\nHAudpoNYKkQJg3B0lUKn6ZS8dUwmWy+Iddt0W/thRVLlAqK5FgCZUCXTfMz9IEaYeQYVxRFLsInZ\nMUZkMZj11/TG+y0tRZ0Q2/JtLAZx3nHLrDUjdji2AAYofY919zsFLhj2dPz8WIOs45RVyBiq+xvh\n2ALtzMBYH5sWhFzHgmXpDlyC6azFotgNDLN7Gq6VC5ymDNO2OPbM+PAcgX4oEWeCcXHePUdgz4yX\nl9qZrLRyN8A0L3sdRDEAnVlpzMI3CxJudgDf/etfTLX9215/HlIA1xw4e03Hcf3VF+LfffPHAIAb\nP/+X+Nz7/xV2r1FL5uuueimuu+qla7IvgiAIYudy6NAhHD58GBdeeGH+2ic/+UncfffdOOOMM/De\n974XTzzxBC666KJNHOX2oygCKaWwOIihghQn+xESqRDFEh3fge9Z2qCWa68Xzxs+JTUdfqoBiDFt\nNTfc7aaDKHtSa4SBqndL0UTT/N48heec5RkkgpsWznpf7QaD56hSJonJCHIsLeA0svE3XeMLYqPt\n25hfDMGZyNsVA9BZKYHEIJJAN0LHd8CBkjmoUgophga3APIShIYn8pIcz1FIEoVE6YweR+jSKN+1\n0HR0567+QKHtafGk2IWmiBG/IpSDwOJ2XlZaU2xprJRuE8+z1sbaB0nC4gwNz4Vr8VJGrJIpLAtY\nWEiAzHfGtGC3uB57P9SlOMUORmYt6fHosqyZyClliQjOEYQJOk0HiUzR9i00fCcLCrVwM4iGRrDF\n8o9iGUXVbNZzBWKpzXWV0marUaL0mrV0gC8YQ7utx8ezwLHhWjht1sdiEOHkYgyZKrQ8G7s7TTBW\nftjqZubN1a5DdlZGMgiG2U3GQycF0BvEGEQJBo0EvUGUB/E662hYqtbynFKGmVTaLPsFcw00PQvd\nrBNUNUsBQC7KBJFEL4iG5zLz5emswGOwTsDo9qORrlVS6jbbVS+d7iBBijQTXXX3Oy0I6O95g3M4\nQntpvXCugd0zQyGiFyToDqLMEN4tZbVFic7gAkPpdcEZZKryMbvGsykZesKYMikz/3XixqS23isV\nzOuEWNsSaHvIy7bqsmW0B9Eog0Ai8mVejmauS+arZj6vbrwme8y2eN5FzLZE3oEOKHv6GMPo7iDO\nm9MIzuBYAolSSGSKubadeyS14+G4igKn6bwWZRlYuZ9RsRugYLmptyZFL1BIGTA75rxsBCTc7ABM\nBo3BcyZ/2ffM+Pj9t/zzNR/HpefvKf38Z3/5D3jPG1d/4/ub+/eteh8EQRAEAQCXXXYZrrzyStx7\n770AgG63iyiKsG+f/ltz4MABPPjggztOuKlL2V+vlPF2w0EQSe1HkKXkp6lup4xQG84nKkXLt+E7\nulW2aeMqZVoySDWYAKLquWCyQqq+f1XPFvN+ESvAQsG8VQf2Tpa5AAyzJeajMO+wMlsw/EWqzTFN\nABfGOvNivhvmAYnMOgb5ntClVEphEKWY74Z5F6EwlnkG0K62l3dBUmrY3SeRWtQxnVkAHcjGsUKS\nlTrARcF/g+UBUrELTRGRGf4a8St/veYpexAz2JZeM3Es8xbLxjQ3jBXmVQCRZWuEcdFEVrec3jsz\nNIL2MtEiiIdiGuc8D5KLa9KITq7NIZU+J+YctRsO9p3WQqvh5F49ZlxGbAJGO+oA5TKK4vbmfGiB\nKcXxhUCXoQkOybRw4LsWfM/CC/c28PyRbj6fPMu+8KQNb1c5I73Y3U0IhqaXiSOV76MJ9I24ZcSE\nbhAjyrKDmtl6nV8M8xbZJhshSRRO9iI0XAWTtFbMIgliiU7DwUz2PSuaxgrOtcjWZ5kZdzRSfsO5\nLqWZlqUEjOL3tOlZI55MgyjOs11si8OxBByLoxdKdJpu3o5+tqGD/qpQBGhxzc4yvaJIIsoEUABw\nhBgpZ2PDzt/5+rMKhs/AeP8XQ53IMun1OqrXbXOsVSZ1TdOM+8w0Pz9Vo+BiZ67q34oolohlWsoa\nC2Pt5xQXJGhzfQaQlaRK9II4z07jXJc5zblubuZuqLsGFf9uBdn4quJyP0qgpL7WWpyV1jBLx6/H\njYCEmx3Av3ntublw8zuvPw+vu+wlmzaWF+9t4pkjPQAYKd9aKW95zTlrsh+CIAhi5/D1r38dX/nK\nV0qv3Xnnnbj66qvx0EMP5a91u120WkOftmaziV/8YnIm69xcA5a1PqKGYe/e9rruv4huxRyhmiPb\nysSB9cD2HTSaLrgtkMQKXHBwBgwGCXbtasCxOFoNB5zrQIYxwGu6UEIHaI5VDk4swTHTcvPjsQTX\nBq+Cg3GGNOucZAndgrh4XJ3s+AFkT3G1YNH0nfxzbFvg2PygZJbp+jYangPfEWhXvNXM5wPAicUA\nXtOGYgzdvi7P6fZCREphV6eBTsPGTNvN9wWgtL8olggiiUEUo+272uvBtfIn+mbsRVIAzzy3iETp\njlaJAmyLoeE5SKFgO7bORnAttGfL8/NCrkWY3bubpTGILLCtm0MAOHZyMDKOKJbwmnZuFmpQCti1\n26k9j8DQ59Acu1QKSgh0Zhv55xbPW3G7TtPFTMut3a6Iydqq4vSikfNpaDUcHD850CVsNkcUKwhb\nwHds7J7zkWTCkWMJnPXiudJ+LMFz75HqMZu1O4ljJwf6OFUKyVjmxcTQD3R7e993sGdXE7bF0Isk\nXMfCTFObtgaRRBRL2K5dyoppeA5sS2c4tZuO7gxnCRw52UcCBr/pwrZ0BhoDR6PlotF0kQqW+VZp\n4VFwjrmOh5ZvY/eMP/4gauA16wYAZmcbtfsKs5Ids17TTDApvTeRCIIETV8LNY4jMNf2MNNyEYRJ\n6TyY77zFOZotF7881oetFJq+Dc+xEEYJfE93/Wr4NmZa7sh6Kq6/vbON2u9HFcd3av08l7se6q7b\nUSy1agyUvr9LXctTS2ChF4683mkOjZz5YjDy+7m2/vTqeTrZDceudaDsY2rmjgEQgsP2HFS1Jytb\nX9V5qa6F4rxX11UUS5zoBogi/bDA9WwwAA1fX3cdx4JtMcxmx7SRf4MNJNzsAF6wq4EzX9DGz55b\nxK+/cnOzU97zWxfh9j/5awDA8/P1F+LloNKh8mvVGLQRBEEQxCQOHjyIgwcPLrldq9VCr9fLf+71\neuh0JrdAOXGiv+rxTWLv3tX7zk1DMSOhyPx8f93q/ecXQ3QHMXzBEUht7ooUQKoQDEK0Z3wgkQiz\n9HzBGZAo9IMY870IbqWUI00V/vEXujTnhad1kAQRWg0H1XA9AhANRoP44pNrmSqwFFiMZP4UV9kC\niBMsFIyDk0ShG0uoSnZKnsmSPdU3Hjqe4FC2gEx1xgRPgDROkCYc0SCGiiW60EFwNdsFAFzB4HEA\nSiEaRPlxVJ+6c2gPiWAQYRBJKKUgFdCwOcJBDClT7Oq4iAMBs8pMC14zM53ZBp5+dj6fD5UZxBYx\n7zHUrSPjEZNW/FoiKYEaQ9ci1Y4zADDohaXPrR67bwuwRGJhvvwdjTJj42JbatcWiLPxFsstGIBe\nt6aFs2BQUQIVS8RhjDiQUKnCjKd9baJBlIt+My0XvW4wLNmrKUkrja9mTRbHHsQSR+cD3dEM2vS5\nG8QYhAnmexFYCrQ9BxZSXVIYJuhmPjvthoMg86KxbYHFxSDP1jmeXcsYtHF007dyz0qzdvJOWJxh\n0AvQ8h0kYYIgkgBidBoObM7QXRhg/kQfx471psraq1s3u3c3MT/fh4pGjX1LcwMgjRKcGIx+Xzyb\ng0kFN7t2zJ/oY/5Ev9SByhAnEguxybABGNfvTcIYDVvAEwxNmwPZ2hp3zRSClb6bE8c+kvmjaXrW\nst4/bgxBHGNutoV/en4BjiXQadhLzmMcS4T9CGFWXmQy0WLOsJh9v4peYIDOVlPZNbK6/xOLoyJQ\n8fjGHXevF9Z+7wHARlqal24/qu3AZa4P1fk5sRiiF0R59tSgH0OlKaSUEE0XUah9gJhU2D3jr+vf\n4HGiEAk3O4SPveMVmz0EAMAZp7WW3mgZLPb1BfhXXrp3TfZHEARBEHW0Wi3Yto2f//znOOOMM3D4\n8OEdZ068Fin70yIEg1QqLzsynjIN14Jb8PYw6fmcsfzGWypApioroVJIU4VBNAwowjjBiQX9dLi1\nTOFpOUbMji3ge1Yh+NdlPNUgsJqu79ocYZxiz4wHzOhjavmh9p/JSsHyeeEsN6GtMq70ojr2hSwb\noOXbpRIP/eRcmwpXx7wwiODEQ9+bzmwjF+0W+hFkTQ1MtUSiruxKKpUbyRY/88SiRHcQjQRdphxL\nynSkNMM8+S9+bvXYo1jWtjEHAMF4qZNMLFPYgiHIAsUwkogSqX2Cshbys61hPoNX+Exjkmw8NrqD\nBL0g1p3EbIGm70BFWpjSBqq6XbYxOi7ORV1r6OLxDINc3QFNIYVSWkjRXkoWHMHBhDYbtoTOyAJj\neVt4Y77aaTqIE5V3yOpHEg1HZK3iFU52Qyz2tdGz41jwHW0IW/QJAYZrS3db034hUaIw27Dz87fc\n9spLdV5ainbDyc1nzXriTLdVD+JwpBzOdL4qoo2PTevu0eYq1WvhSsZcV47a9KwVl6jWXZ/jRCKM\nFBqehZmmNsY+0Y20WXPBkLluLLMtd+xYejIplTUBumTMrO0Ti2HpPeOESrGEYbMuUyqXNxlj7ur3\n/EQ3qvWvCeKsLLFyjrQJMXJjbcfScxBGCmgOj2m56249IOFmh9Dwtsap5pzh7g++Gh/4/F/mrz1z\npIv/9uA/4j1vvKiUIrfQi0pdIor86O+PAgC1dSYIgiDWndtvvx0f/ehHIaXEgQMH8PKXv3yzh7Sh\nTLrJXi88W+TGlMVuJg3X0m3E8zHpNsOxVPmNt+nAbQSBo/MD2PZodu5CP54o3Ezj62MC6GrwX/Un\nKe7DiAqdzFfDfJbnWphrObnpbRHXFuhkHhmrDeiq/g7jRBvzhHumyfP3F81hlyvsVQMymZq257pV\nswme48R4tYwGXcbfpSeT0tN9Mzd1n2sY16XHjKkOBV3WZAuJxUQLXlpIUzh6MoAjONotd2xLZu0t\nI8E5ct8hYCgyyTQTHjmHa6dDo2MgPw+TAsXiuE3npjBRSNIEjiXQcCz0wwQq1cKFSlNEUotlu30b\nezseOOclU1/9H8fxhRCDWCKRKQCFfiShpILj6A5flhoKoq5jlUy+bUvAThSCUJcHSam7v8WZT4k5\ntuUY7dYF8q2Gs2SWSPH9RdHBZIjFcuidUpxza8x1zbMFAsiSv0+1o9e4MZssvV6QIIjlyHpZjw5S\nddftMFaQaYrFXoSjJweIsm5XgD7vPZnk/jPLHUvRSwbQwpclGLhgUDLNPXWK37elhK1xQrl5X1Xo\nbVbiXGMqX8X47pTHna0rxuE6Q0+bVsMBC2LEicp9xYzx8WaxNaJ5YkfR9Gy8ZG8TxxZ0mtxt9/wV\nAP2H8frf0l08PvyF76M7iHHwdefiN/efObKPP/nWkwCAHzz2T3jnr1M3KYIgCGLt2L9/P/bv35//\nfOmll+K+++7bxBFtLqt94r0SHFtgruVMTHUHdHBysqsD6mJnl6LJbhAnsO3RgCOaUIozKcifpgNM\nsZvVUsdbF/hzwUrlO8XAYdoAwohDxRbWxQComM1SJIxHu24Bw6B7GmHPHKeZX9+18na8JngOY5Wb\nlhZb8fLC03gAGIQJokSOZEyMExQnmdzqNsZyZK2Z1//peD9vRW5Z2X/QJTOTzq8Cas2yXVsbqRaz\nlapGx8UMiHEU511wDlhGWNLZN3HW+UhbDDCkmcls07Nx2qyfC5fV8hST3eTbwxbWcS/KDXmNKTeg\nA/VOlm3BGctLZoJQ5t26ihSD5+Vm7VW/H9N6axXfb+ZcFcq9pNJZZR3f0YKXO15wnQ/DkqAqlYKS\nvNTlqviZ+bUkW5Z115L16CBVd90OM7EryTq6KaVbxQNAK7OhWejH8N1RiWDSWIoitGFSJp7Zblrx\neVI2ThEp01JHqvx1lY6YqBe7GeqszWEL+5ZnY67tTu3LtF6QcENsCk9nBsUP/+T5/LXDf/NLXPuG\n8+E5VnZTAXz9f/20VrgxvHBXY30HShAEQRA7nOXeLK81rUykmPS5ni1wXJmshWEnHdcSecaGV617\nyKga4haZNpCatpxsOdk8puQGHe3XsNCPsXisl/tSLLfMy3xe3p642MIao5kd48qZxh3bJGFv3HGa\n+a1m/SQyBWdALBU4R+6fEicKC13dhtvsZ8+MV+uFURQUi59v2jpXM4q0OKNGMnzsROWChzFLDZSE\nBy2OSJXiRDeA71oTA8g6zP6qvy8KacsR/IqiWbFUxXcsLGaeJLqbrIBjKTgWx66Ohxftbo6IDED5\nO+5YHE7W1hzQWUKJAqQEHEfkHc0sweC5FqysHbkRvyzB8gybYhAtCwLrembtjcNkzEiVQimFJFH5\nemzY2pA7lqkWiBuj30nBmW75XRX5xlwbJl1LzP+PLwS1Hcwm+h4tcQ2pO6e2xfP+UEWhOyl8TpTI\nWuFm2tLYcdsHmeg17JJmTfW3ZDllq0KwkdItQK/hcQ8chmIggzZUY5XXNx8SbohN5Yt/9ljp518e\n6+Nv/uFY/vPuzmTX9Le//rx1GRdBEARBEEOWc7O8GZ/r2AJt30Y/TPJA0rT+NVkiu2dcLPRHzUk7\njVGvCsO4DIxxwcg0WSd12Tzzofba4JyPBGHdfoSjC8OOLVEicXRBB33LFW+KweNyMjuKwV7bt2tb\nCJtjGyfsARibtVScq2rZw0Kv/NSbgyFRCrYQpf00PWuiB8i4ts5FsQrQQWtdkLfYH5bsF7uARYWO\nN4LxzMNG4bhSaPt2KSvKrItqac1cFjQrpfKMozovn6UoimbF89pwOWTWyMN43bQbuoNUs2GPNW/2\nbJGLFUGYIEqUbmGP4XnmnMG1BFxHt3Q3raQX+lGpTBCIszbPugyuHyrEiS6bArJOU62NszwoZpzN\nd7UBs1IpFgcJGFJ4jgWWlYsB40VaznltFtW04m0QJvnvjLA1FAy1YOpUMgyLx7KcjMDq9TMolF8W\nhe5ieVhR0C6u23FjGUfdNVHvr5xxtVyvo2nwbH2trnrhzLXGlzqFscw8v9Ks7FCg5dsYLbjaPEi4\nIbYU//3Bf8Qjf3c0/9mUUwHA0ZMDDEJZMjg+fU8TBEEQBEHsXNoNJwumyoFGw7XyQMOxBBb6sRZ2\nbAt7Ot5Y0SOKZW0GRgPIW2xX8WyB+TAsBQmuzXNPliLVJ/DGQ0ZwhpbvjAQzdaITsLRHT5FpMjvq\nDH2XymypE9gWalpsA/r4xwldMtXBvcqFjRTdIIZjcfjOqI9FpyCSmMC8FyQQQrcsLwpORpwpBo4A\ncm+XapBnCZ577viOjefnezA+QJ4twDmDl2UvGfphkn+mMUCtK61JVIqgr81Ti+vsZC/K1oGdz/FS\nwqWZC+OPNNvS77EtgbjhjKxJwXg+X5OCf7PWBWcYRAlcR8BzBFpNB7tqTJmrYidnDDI7LuN50wsS\nuJmo6tocsUxHSozWg+KxcoY8s9+zBWxLm3K3fAuCDQWMtRBpJ21fNEE2azNOFHpBnGeamSwmACPC\nah1LlVZ5roU4UegHCaJIIpFAy7fgOsP3dBo24kxsLK7b6liWyvipLdXKyiCnHfe0FH13bGt5HmWL\ng1ibeXtlQX89TfinhYQbYlO44hUvxvceeWbk9aJoAwC+O/yC3fTvfwAA+A8feW3+Wnud2pASBEEQ\nBHFqUPaJELUZJK2Gk4scS7VTN52eqhkYYSwx25qcCYy8EGH8zX6dhwxQLiEx43BsMdaLZ5JHT5XV\nGEyv1Bx2UgZC07Nqy6tYqo1uASBMFJRSAGNggpWCy+r+60SIxUGcG1QD5YwUYNiWPYj13FQzfwRn\neXv5FAqdrAsPz0pl5louFFjJR8OcQ3PuxpXWOBbH85mXiBlTEOkMF88dZnctJxthXFaaPrejpWHm\nnJvgv5oNJFOFPbafZy3MtQXmsvfGmadQcf5MEF8VO2VmHM4yMYQxhr0z3mip2gYIN0WhQ2XG5UGs\nEEkFS3BYXHvaFL2cxn03ioJEce7avl0rQo0rJSxmuZi1eTzU3eSqZVPVOVpppz8OXYY451mY63iI\nE+11wzF6Po+e1GOuGwswPpuu6sFVvG7UmZ8vZ9wrYZos0SAul/MZTEbiVmFVI7n//vvx7W9/G3fd\nddfI7+677z786Z/+KSzLwvvf/3687nWvW81HEduMN/7LM2uFmyqDUF8c0nT4hb7hrv+9buMiCIIg\nCOLUYy1LuUwQX83AcG0+9jOCLItjOUFpVUQxwULVANhsY0rAqkzy6KlSFzyOa9Vbx0rMYVfS8rcX\nJHDtFFLx3BSXc102Vf3MYmBdl4EgOB/JrjFtnatZRrUePQ7HL4/3h75Jtl4Du1ouGOfwXQsne2Hp\nPXm3qMJxjyutMV4ixXVjW3otFAWBQZhgz4w39fpeylRc1mRVSKXQ7St4loDKxmG6BHmuhabnjvVx\nqRM7VZriBbP+sg2W14vq963h2eA863DkWAiiZGSNjfNCyU2OB1GeKddwLXDOa7Njxq11Ixga9NoU\naHJrZL1U52ilQqyCFq2sLCvMq5S7Fcfsu9ZYr5sAkzN+qtk4xRKrje5QuBzkmHJJqdJNbf9dZcXC\nzaFDh3D48GFceOGFI787cuQIvvrVr+Kb3/wmwjDEtddei1e96lVwHMqOIDSz7fITq4+8/VLcde+j\ntdv+9JmT+PRXH96IYREEQRAEscMxQdFIBsaE4MIEI9XsBdce7TpUDajNk95xwkSnYeeeNkUmefRU\nNSgwwQAADqhJREFUqQaPxTbUZvxr7TWxkpa/JmuqKJr5jo2UpSOiWDGgqgsG3UoZU937zDjMZ5cD\na+2XFGbdd4y3iwLgZuem+pQ+b/ctypkbdeOrCm9mPyorzTNEiawVBJZiKVNxIRi6g1EHD6VSnOiG\naPlO9h3Qr08S9pYjdq4m62u1FD/bdN8CLEipYFscgjvgYthNazklak4sMNMc9X6qE2vHCcvV74eZ\ns7rxF1lppz9zntpNB1Hgll6v+8xpXjf7mVSCtxkdCpeDyU6rrl/f2xxvt3GsWLi57LLLcOWVV+Le\ne+8d+d2Pf/xjvOIVr4DjOHAcB/v27cOTTz6JSy65ZFWDJbYPnJUvQC87e9fYbceJNpddsHdNx0QQ\nBEEQBLGS4EIIVjL+BJAZs456eFQDat8TUFIHa6aVctG41ZR4GY+elXSVMp9bbYlcZS3LVlbSjczM\nfVU0s8X49sxAfTBpWwItwfLfTfr8usC6FyRwHSvP/AF0d6tjC0G+nzwbxxGlcpLiWhm3noyXSH4M\nFRHIlLHkv8tKmKZhUiZasSNblWrZHjB5bUwSO6NYYmEQYaEbYxDF8B0LLd+unav1ongOTGaFbXHM\nNJ18HNN2N1ppuZKh7vsx13JKa6I4/nHvDcIkz4oK4rJheJVpxLNJ18EAcux+JvnvrLQN+Hoz7rrT\n9LZOmRSwDOHm61//Or7yla+UXrvzzjtx9dVX46GHHqp9T7fbRbvdzn9uNpvodrurHCqxk3jHlefj\nv/6Pv5u4zdX/YnybcIIgCIIgiJWwUsHhZHfUjNe169sEVwPqbj/CiW5Y8EEpG7cWPXrWgtUGnctl\n2hK2lcw9ML4UTPClRZtxVFsKx4lCtx8hkgotz867NdmCw3NEbUewccdkPIKKJSVGwOuHCeJCNyff\nsSCVwomFBCzF2M+ZlmJHtqL/jin/qTJpbZj51x22EgyiGABD27O1UXTW3t2xBAZZWdJc2y114FpP\nqj5YLcFWPZdrkUFU9/1YyvS3ekyyYHK8VObcNKL0Ut/FcfupMzI3Yxt3zJvNSq87G82Sws3Bgwdx\n8ODBqXbaarXQ6/Xyn3u9XknIqWNurgFrilrdlbB37+QxEJNZ6/m7+bpfxWf+81/jhrdeMrLv37nq\nwonCzdX/6izsf/mL13Q86w2tv9VB87c6aP5WB83f6qD5I041ViI4uDZHGKfLbiFeRAG1PijrZdy6\nmWUrS7GSwG49SsGqLYV7SYxEAR3fLmXhqDSFbYuRkrhJx2RKquo6eCUyRS+I89Isy+J59k0/TGo7\nj60U05GtiIjVssp1qscXxRInFuPC2DkWgwhJotD09JzZ2X+CM9gbHBivtWCw0rKfpYSZaU11x70+\nSeyxhD6/03pbVfdTdxzmtSpb4doyia0oKFVZl/yfSy65BJ///OcRhiGiKMJPf/pTXHDBBRPfc+JE\nfz2GkrNUBwFiMusxfxec3saXP3YFLMFH9n3sWBfnv2QGf/f0ydr3/utXnXVKnU9af6uD5m910Pyt\nDpq/1bHe80eiELFV8AodjIosJ2DZqAwYQAeOUSLR7ccjHWM222tiNax1KdgwONUthYEUriVLog2Q\ndVDKsqPGBeTV33XGBNyOLbBnxhsxo44S7bczrvPYSllNuU4VBV2e1m4M1/sgShDEes6K82bm7FRm\nJVkaS7Vgn5aVXDccW2Cm5SIajGYITsM4oWOzfWyWm7F0KrKmws0f//EfY9++ffi1X/s1vPOd78S1\n116LNE3xoQ99CK67VPtEYidiFF8AuOv3X4WPfPH7ePvrzwMA3PK7v4LrP/M/S9v/2xtfhZklW3ES\nBEEQBEFsLKsJWDYqA8YEjoJxNFwLYazQDxO0OduwspWNYK2EsGJwKgTDyW400jJYcAaZqrEBOTDa\nOrnbj2pbR5vPHClhyjJvxnUeWw2rKdepjqU6N5wzIEXuBWQQnG35DIzlMG2WxrQZMkuxFTPnNrPs\naK2Fsa3GqoSb/fv3Y//+/fnP73rXu/J/v+1tb8Pb3va21eye2GHMtV38p5tfP/b3t/zuZSTaEARB\nEASxJVlNwLJRT6mLgWPRiLPYons7sB4BrWcLBDUtg11bgKUAanY9LlA3vxs356MlTPHEzmNrzUrK\nRoRgIwbLjiXgOkoLOAVcW5zS2V0rZa0z6zY7u2Ucm1V2tNbC2FZja1klE0QFzhhUqi9m579kdpNH\nQxAEQRAEMZ6VBiwb9ZR6I0uyNpP1CGgdW2C25YILhkEgAaRouBbaDWdJQ9Zpfzeu89ikluibTZ2w\nZVsce2d8CA7omHo4Z9shkJ6WtRYUTxVT3Y1iu1/fSLghtjT/8aYrMAiTUkkVQRAEQRDEdmMjnlJv\nxdKK9WC9AlrHFrold6f8+lKGrCuZ8zrj4q0coE8StrbSODeT9RIUaX412/36RsINsaVhjKHh2Zs9\nDIIgCIIgiFOerVpasR5sZEC71LyuxZyfCgH6OGGL0FCGzPqy3a9vJNwQBEEQBEEQxA6AAsf1YTnz\nWvxdq+FARfXlVcT25lQQ4E5Vtvv1jYQbgiAIgiAIgtghUOC4Pkya1+rvqibDBEGsDdv5+kbGIQRB\nEARBEARBEARBEFsUlqbp9rBZJgiCIAiCIAiCIAiC2GZQxg1BEARBEARBEARBEMQWhYQbgiAIgiAI\ngiAIgiCILQoJNwRBEARBEARBEARBEFsUEm4IgiAIgiAIgiAIgiC2KCTcEARBEARBEARBEARBbFFI\nuCEIgiAIgiAIgiAIgtiiWJs9gPVGKYVPfepT+MlPfgLHcXDo0CGceeaZmz2sLcNb3vIWtFotAMBL\nXvISvP3tb8enP/1pCCFw4MAB3HjjjWPn8NFHHx3Zdqfwox/9CH/0R3+Er371q/jZz36Gm2++GYwx\nnH/++fjkJz8Jzjm+8IUv4Hvf+x4sy8Ktt96KSy65ZKpttzPF+XviiSfwvve9D2eddRYA4B3veAeu\nvvpqmr8xxHGMW2+9Fc888wyiKML73/9+nHfeebQGl0nd/L3oRS+iNbhMpJT4wz/8Qzz11FNgjOH2\n22+H67q0/jYIuqdZGrqvWRl0X7M66L5mZdA9zeqge5rVccrd06TbnO985zvpxz/+8TRN0/SRRx5J\nb7jhhk0e0dYhCIL0mmuuKb325je/Of3Zz36WKqXS97znPenjjz8+dg7rtt0JfPnLX07f+MY3pgcP\nHkzTNE3f9773pT/84Q/TNE3T2267Lf3ud7+bPvbYY+k73/nOVCmVPvPMM+lb3/rWqbfdrlTn7777\n7kvvueee0jY0f+P5xje+kR46dChN0zQ9ceJE+trXvpbW4BTUzR+tweVz//33pzfffHOapmn6wx/+\nML3hhhto/W0gdE8zGbqvWRl0X7M66L5m5dA9zeqge5rVcard02z7jJuHH34Yr371qwEAl156KR57\n7LFNHtHW4cknn8RgMMD111+PJEnwgQ98AFEUYd++fQCAAwcO4MEHH8SRI0dG5rDb7dZue9FFF23a\n8WwU+/btw913342bbroJAPD444/jla98JQDgNa95Db7//e/j7LPPxoEDB8AYw+mnnw4pJY4fPz7V\ntrt27dq0Y1xPqvP32GOP4amnnsJf/MVf4Mwzz8Stt96Khx9+mOZvDL/xG7+Bq666CgCQpimEELQG\np6Bu/mgNLp8rr7wSV1xxBQDg2WefRafTwYMPPkjrb4Oge5rJ0H3NyqD7mtVB9zUrh+5pVgfd06yO\nU+2eZtt73HS73TxlFgCEEEiSZBNHtHXwPA/vfve7cc899+D222/HLbfcAt/38983m00sLi7WzmH1\nNbPtTuCqq66CZQ01zzRNwRgDMH7OzOvTbLtdqc7fJZdcgptuuglf+9rXcMYZZ+CLX/wizd8Ems0m\nWq0Wut0u/uAP/gAf/OAHaQ1OQd380RqcDsuy8PGPfxx33HEH3vSmN9H620DonmYydF+zMui+ZnXQ\nfc3KoXua1UH3NKvnVLqn2fbCTavVQq/Xy39WSpUurjuZs88+G29+85vBGMPZZ5+NdruN+fn5/Pe9\nXg+dTqd2DquvmW13IpwPv0bj5qzX66Hdbk+17U7hDW94Ay6++OL830888QTN3xL88pe/xHXXXYdr\nrrkGb3rTm2gNTkl1/mgNTs9nP/tZfOc738Ftt92GMAzz12n9rS90TzMZuq9ZG+hvyuqgvynTQfc0\nq4PuaVbPqXJPs+2Fm8suuwwPPPAAAODRRx/FBRdcsMkj2jp84xvfwGc+8xkAwHPPPYfBYIBGo4Gf\n//znSNMUhw8fxuWXX147h61WC7Ztj2y7E7nooovw0EMPAQAeeOCBfM4OHz4MpRSeffZZKKWwa9eu\nqbbdKbz73e/Gj3/8YwDAD37wA7zsZS+j+ZvA0aNHcf311+NjH/sYfvu3fxsArcFpqJs/WoPL58//\n/M/xpS99CQDg+z4YY7j44otp/W0QdE8zGbqvWRvob8rqoL8py4fuaVYH3dOsjlPtnoalaZquyZ62\nKKZzwN/+7d8iTVPceeedOPfcczd7WFuCKIpwyy234NlnnwVjDB/96EfBOcedd94JKSUOHDiAD33o\nQ2Pn8NFHHx3Zdqfw9NNP48Mf/jDuu+8+PPXUU7jtttsQxzHOOeccHDp0CEII3H333XjggQeglMIt\nt9yCyy+/fKpttzPF+Xv88cdxxx13wLZt7NmzB3fccQdarRbN3xgOHTqEb33rWzjnnHPy1z7xiU/g\n0KFDtAaXQd38ffCDH8TnPvc5WoPLoN/v45ZbbsHRo0eRJAl+7/d+D+eeey5dAzcIuqeZDN3XrBy6\nr1kddF+zMuieZnXQPc3qONXuaba9cEMQBEEQBEEQBEEQBHGqsu1LpQiCIAiCIAiCIAiCIE5VSLgh\nCIIgCIIgCIIgCILYopBwQxAEQRAEQRAEQRAEsUUh4YYgCIIgCIIgCIIgCGKLQsINQRAEQRAEQRAE\nQRDEFoWEG4IgCIIgCIIgCIIgiC0KCTcEQRAEQRAEQRAEQRBbFBJuCIIgCIIgCIIgCIIgtij/H7qb\n76BqCG26AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e7b5240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_tracker_results(tracker);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Inference **is often unstable**, some parameters are not well fitted as they poorly influence the resulting posterior. \n",
    "\n",
    "In a multimodal setting, the dominant mode might well change from run to run."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Going deeper\n",
    "\n",
    "We can try to improve our approximation by adding flows; in the original paper they used both 8 and 32. Let's try using 8 here."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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HBpAyJZv0kCSgsi72gogdERF1CXUI8Tii0NGoVUg26VFe2wpZlkWXE1IMIiLi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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b80d978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with pot1m:\n",
    "    inference = pm.NFVI('planar*8', jitter=1.)\n",
    "    \n",
    "dftrace = pm.trace_to_dataframe(inference.approx.sample(1000))\n",
    "sns.jointplot(dftrace.iloc[:, 0], dftrace.iloc[:, 1], kind='kde');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can try for a more robust fit by allocating more samples to `obj_n_mc` in `fit`, which controls the number of Monte Carlo samples used to approximate the gradient. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Average Loss = -1.7429: 100%|██████████| 25000/25000 [01:56<00:00, 215.40it/s]\n",
      "Finished [100%]: Average Loss = -1.7428\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<pymc3.variational.approximations.NormalizingFlow at 0x11cfa3198>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "inference.fit(25000, obj_optimizer=pm.adam(learning_rate=.01), obj_n_mc=100, \n",
    "              callbacks=[pm.callbacks.CheckParametersConvergence()])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.JointGrid at 0x122108ac8>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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/L1y4EPfddx9DiIioGyeH5sJ/ZI5L/BARaZHhRBJx+raMXnzRv/WeiIgiUWcQ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\nQURERCpobXcDgO5ny/mDQUREpEEOZ8fF/+E+Yw5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      "text/plain": [
       "<matplotlib.figure.Figure at 0x122108ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dftrace = pm.trace_to_dataframe(inference.approx.sample(1000))\n",
    "sns.jointplot(dftrace.iloc[:, 0], dftrace.iloc[:, 1], kind='kde')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is a noticeable improvement. Here, we see that flows are able to characterize the multimodality of a given posterior, but as we have seen, they are hard to fit. The initial point of the optimization matters in general for the multimodal case."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### MCMC vs NFVI\n",
    "\n",
    "Let's use another potential function, and compare the sampling using NUTS to what we get with NF:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def cust_logp(z):\n",
    "    return -pot4(z)\n",
    "\n",
    "with pm.Model() as pot_m:\n",
    "    pm.DensityDist('pot_func', logp=cust_logp, shape=(2,))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      " 99%|█████████▉| 3969/4000 [00:09<00:00, 393.42it/s]/Users/ferres/dev/pymc3/pymc3/step_methods/hmc/nuts.py:467: UserWarning: Chain 0 contains 94 diverging samples after tuning. If increasing `target_accept` does not help try to reparameterize.\n",
      "  % (self._chain_id, n_diverging))\n",
      "100%|██████████| 4000/4000 [00:09<00:00, 402.32it/s]\n",
      "/Users/ferres/dev/pymc3/pymc3/step_methods/hmc/nuts.py:451: UserWarning: The acceptance probability in chain 1 does not match the target. It is 0.632933350266, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "  % (self._chain_id, mean_accept, target_accept))\n",
      "/Users/ferres/dev/pymc3/pymc3/step_methods/hmc/nuts.py:467: UserWarning: Chain 1 contains 84 diverging samples after tuning. If increasing `target_accept` does not help try to reparameterize.\n",
      "  % (self._chain_id, n_diverging))\n"
     ]
    }
   ],
   "source": [
    "with pot_m:\n",
    "    traceNUTS = pm.sample(3000, tune=1000, target_accept=0.9, cores=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Average Loss = -2.212: 100%|██████████| 25000/25000 [01:05<00:00, 381.94it/s] \n",
      "Finished [100%]: Average Loss = -2.2131\n"
     ]
    }
   ],
   "source": [
    "formula = 'planar*10'\n",
    "with pot_m:\n",
    "    inference = pm.NFVI(formula, jitter=0.1)\n",
    "\n",
    "inference.fit(25000, obj_optimizer=pm.adam(learning_rate=.01), obj_n_mc=10)\n",
    "\n",
    "traceNF = inference.approx.sample(5000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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MNCAiIiIiolGZ+vHhBnk0e9Xve7M6glJDV0fQWi5r5nNiSh3qbzvSMopjzU6g\nsWOmARERERERjYj14zuv4fZ9NArkcnIbf2PCSMS7rBmtLqNYHxjwr94wUkCBxo5BAyIiIiIiGtZY\nutvT7DDSvlcKqFalh4HWQDgMtLfLgD8Uam3w3soyiiY7oVyWQIMJNjgOkEgwaDAZWJ5AREREREQN\nmfrx+oGYqR9nKvjs4i9DMPseGHyZ1rJCQqkEzJkjzQ8B+XcqJYGEsQSTGpU6DCcalefxfzajUQlu\nsBnixGOmARERERERNWSCAqZ+3T+gYzr47FJfhhAKyb8rFe96QGb5Uylg7lwZ5AeDssSiCTj4GyFO\nFvO5a28fmp3AZogTb0xBg3K5jK9//evYtGkTSqUSTj/9dBx++OETvW1ERDQCHouJaMbzFxvPwjP4\nneE4XCwC6bSXnh4Oe4NBBgxmj0ZlCNms/LS1yfWOI5eXShIYKBbld5Np4P8sTPbA3X9YaZQFw8/m\nxBpT0ODRRx9FZ2cnrrnmGgwMDODYY4+ddQdIIqKZjsdiIprR3GnLWtOycNgbRcySs/nZfhy2bZll\njsW8pfVMPXsk4jW8a5SFQDuORksYau1lGFSrXqDAlCaYDJRcTi6Pxbz7mc/BZA7cx7JUI42d0rr1\nSqRcLgetNRKJBPr7+/HJT34STzzxxIj3SUT3GvNGEhFNlqz92nRvwpi1eiyuVKoIBgPDXk9ENGFs\nW0YZ5szdtuXHTFPPktb7Yzkn3lGOxVpLhoHldkAzqeuABAnmzfP6GhizZLfudBwHyGS8fW0uS6fl\ncxAMAlu2SPAgnZavdleX1z9g7lwviGS+4o4jpQOjDd7Hk4xUf5gxj+fPhqGJMaZMg7ibg5LNZnH2\n2WfjnHPOmdCNIiKi0bV6LO7vz0/FZg0xb14SPT2ZaXnuqcbXOjvxtbbIHW2qgDfaVO40ta7mgPYk\ngCx0yDuznzcvOb7nnCZjOSeejmPxWPar40hqun8g6W+Et22bNxPtX24vFGo8YJuqShV+X1tnAkT+\nTINCAejtlc9BMAjk87LfTCApk5HrCgWvf0F3t/w/nZaBe6k08vO2sozncK91uMfI7OAfgen4HI90\nHB5zI8TNmzfjy1/+Mk488UR8/OMfH+vDEBHROOxUx+JZXhtNNGto7X1FtfbymmFO7LVXED0LupXN\n1uNwo/Rvc/itVGRQVql4S92Z2d1CQX73BxtaGRzS1PMvYaiU7K9sVr66hYK3rGE2K0GhRELKEkw2\ngdZy33xWbIhoAAAgAElEQVTeSygKh0d+Tn8PBfM5M0GGVj4brSzVSGM3pqDB9u3b8YUvfAGXXHIJ\nVqxYMdHbRERETdipjsX1tdH1Z5wMKBDNHErJ1xGQAILvKq1R+47WAgg78Hd2Nh+H6weShumQX6l4\n6emlEtDXJ9e3tcn/YzE5TDdqsGf6IjBwMHOYfWHbwMCAFyyoVOTfgJQnmH1eLHr7uFTy+h7E4/K7\nmen3N830f91NDwXz+TECgaGxRP8ykI0OF/zTP/nGFDS4/fbbkU6ncdttt+G2224DANx5552I8ptP\nRDRldppjsW1DlUuAm+qsAKBcgga8M9KRAgpENLVqo00pNtbwAgj+0YA/gLCjmu3HYfMy/FkC4bAM\nCgGZWa5WJQhgBoWVivzbsmSgVx8wALxeCLMg0WRWiUalFGHbNvm36VeRz3vJQY4jZQvxuPw/GJQM\nhLlz5baW5WWjpNOyj4tFb7lGQD5DJqPBfFaMSkUCFib4ZAIUkYj3eLPk67VDGVMjxLFgI0Qimol2\n5EaIrZquGs9x1eXV10b7r6pKPqyqDJ0G89dKTyXW0s5OfK1jZAJ6RRsold1OaWEvaDALehqMxXR8\nlsa7X/2zxFoD27fLTHIqJZeVSjLr7DjeigqJhAQUYjFvST4/x5HbWEMP7+PC7+v4VCrAH/8o+7W/\nX/Zzf79XorDbbsDWrfI5aGsDkknZ57vtJsGh7m5vlYViUf5tggP+vhday+ejfv9Xq/J56ejwshAs\nS17r9u2ZEftmzCazpqcBERHRpPPXRtdR0NC2DYTq/pSZKaz6gkrmL+64HEd+LGviRxg0edxiY62T\nMrrMZmEVbTgaMtJIzvKz/lnEf/g0A7lYTGaEy2Wv3CAQkJln//J8JtOgfpC3g1emzGpmWcW33/b2\ntxn4m14HHR3SzyCZlMttW/Y9IL9nMvL56OuTy9vbvc9AtSp/poNBL5BgPguRiHx28nm5byAgh/94\n3Lsds1SmHoMGREQ0c/lro+toR0NZdde402HKLkA7DlS5BF0sQUUi0GY9qNk+PTHbDAwAmQwsBW+w\n2dk53VtFzXLP8FUwAHR2QGsNZTINTMt1mnbNtoUxfS1NHXs47GUWOI4MBk2vA1OeYFkyAPUP8uoq\nVWgGsW3JJPl//08CBJWKzOwD8nt/v+w7x5FMA1O20Ncnh+ZUSj4H1arcrlKR/Z3NymNEo7LfLcsL\nQpjAQSIhh/h8Xj5bgYB8zkzPjHRagg/hMINOU41BAyIimrnqaqMBeB2RIhHoctkLKLjTIcq2JVCQ\nSEAFA1ChIFCtAGULUIB2HJki49nGzDcwACufq2WTWACQz8EBGDiYiRqNPE2Osikx8n/v/NOFDCBM\nm5FWNqjfpaYZnQkUBALeANE0zSuXZQbZLNVnyhdMMIGrJ8wMjb6u/f3Axo3eUotmlQTT5BCQ/djW\n5i27GQzKv81tTKAhkZDL02l5fPMZMV/5UkluYz5LZhvyeXls0yTRceT3QMDLaKhUJLjQymuj8WHQ\nYILtbx1W+/1F58lp3BIiolkiGpWmh25ttMkckAiAe2Zg21ClUu1MREXCQC4rwQFzhpJKAdEIlKOh\nk0k5Y+VZ68zlOJLf6i8/MW2YzHQTSxVmjuEako5UYmRWT9BaRgr8Pk65kVY2AAYHE8zXz8wMRyLA\n/Pky0DSraKbTXklCMOjFZ4NBma1ua+NAbiYwgSJADrWmp/CmTZJlYPZPtSqz+oWCXNbZKfuwvV0G\n/amUt+RhpSL72dy2rU0uM30LzOfHfJa0lpKDYlEey1xfrXpNEP2KRQlgmIBCR4d8voZ7bVzes3Uj\nZW8waDBO/iDBSNcxgEBENA7RqJv3GoBqTwKBQK0bu87mgP4+qEAAOp+HqlaAZDtQyEnztXlzZTBT\nrQAqCgQUYKnBKzDQzOM4GFR9YgprFWBVKnDyeZmmGgtOQ02skVY4iUSGLzHSkLP7gQHAKknHNJoy\ntSSQBisbpNNyaDTXma9f2O1dafoYmAGcqRpqb5fZZxMHAmTQZgaQ5uvmOPz6TRcTKDKz9gDQ0+Nl\nCJiGh4BXZmJWRAAk+GNZ3goalYr8P5GQIMD27XJ9oeAdZv2raVSr8hgdHXKdCTqY25oWNua6clk+\njyZrJRqVz6GZJ/D/CefynuPDoMEkGClYMNLtGTwgIhrFcDmTm9+WwICG21q5XYIB5TJUeztQLkGp\nuExFlEuAsqQswawJBnk87fgem92UZi6l4FQdWAF3ZFMp1walWgWgqpWx1cRzic6JVV9+YPi/X/4S\nI/+UtdZQ2QyUdryRB02Z+gGCf9cUi4NLFExwoViUwaHJJjBL8cVi3my16XtQKsngz7a95namcSJn\ngaeH2ZflsiRymRn+3l5vmUMTJIjFvN4CiYTsx85O4B3vkPubkgSTYRAISMDIxPjNfi6X5TZmOcdG\nA9P6iqZw2DskhMPyYxohRqNerwz/n/CRgmA7+5/6ZuPkI13HoEGLWg0WDHd/Bg9mtmb2M/ch0SRo\nNKCzbVi5rKSpWxaUXQR6tgAD/dAKUNEYdDgCVanKwCUcAoo2EHLzJU0b76hbOGk6KMGXHr2znknM\nVL7PAQZSQLXs5aE6bk6rqYNv5UxwpBlxjlyaV7f+3qjlB6bEKJ2CKkq2iA66ndWcqnvDqdp4MmrH\nWQxO6Ta15/5BnPm6FYteKUIoJF9LM8grFGSQWS57AQPT8C6dlsfddVfOAk8ns79TKW9W3lSCmX1n\n214zQxM0SCa9vgJmCUbTa8B8FgD5fJjlEPv7vWCC1sCiRRJoCIe9gEQu55WsAPIZ8gcETIYCII9p\nmiqGw94A2L8U6MjHoh37T/1YE+RaKddg0GCCjDdgUP9YHHTOPK3sYwaAiCZYowFd0Ybu6QEScRlU\n2EUgnwX6BmQAEnfPQObvIkEB253esotA1QFCYcksCFhAMCSXOSVZVUEDOhSUUgaaOQoFqFJRzhS7\nu6EBqG1bAEdDhyNe8CibBaoOdDjcuAC2XjMz4jvyGeVUqQ/shcNe+UHdWa0ZoJjuecr0EVEKSmuo\nVEoyEMIRL6hHU8b0JchkBjcpNF8Dk22glJdqbllyO6XkPo4jJQlmGb5AwPs6Fgoy8AwGZXBYLAJd\nXV4TPSZ8TT0TFMpmvf0JeIGeXE7+398vtzGtRubPl3KCbBbYsMGtKLJk38+dK58F83kol2V/muyA\nYHDw4N8k/5mghD+rRSm5DyCfE1OeoLUEIxzHK5EBBn9e/UEwc10zAYUdwVj7NExkuQaDBk2ayICB\n/zE54JwZxrN/GTwgmgDDDei0hlVx/8KFQkB/r0xZlYruekxBIBiCymag8zkZuFQrXielZBK6LQ60\nt0PlctLXwF19QZmBjf+Mhaae/8yuUAB6eqCCAWilZB93dUGbYthIFMqpevezFFSlDF0oeC24Gz22\ne7Y66oz4jnxWORUaBfYqZXnv3LxzBTdpIBQCQmEgk4GChk5n3Bx2bz/pUgkY6INKtANlphpMh0hE\nZpXdfrIolbyadbNMIuDVmpuBm7nMH3gwJQum3j0Ukv+nUl5jxJdfBhYskOCBGfxw+bypUyzKV7Wv\nT95307hwyxbZT2++KfvG9ByYM0f2VzbrLYVoWfK7vz9FuSx/Rjs6vH1tMhBMwt+2bXL7dNqtMOzw\n/m8+f/VtaixLHmvuXLmu5KtyMgEEf9AgEvGyJWzba8CYSEzd52uiW+aMdeDfarmGeU+H6y/MoEET\nRhpQvq+zQdvOBl4YKAz72BxsTq+JCghxX+44JiMISOM0XIqzZUFrDWXyER0N5AoyaNEA2uJA0F3z\nq5CXs52S25lLA0inJLtgwQLobBYY6IfK5wAoyTLonguEOc01bfyz1gMpKNuW+nbLggqH3Nlq2feq\nWJRBplMFiiUAWoJGGvL5CYegS2UoraGVgirkoSsVWJEInHAESCSgLWv4hnzc/yMbLVPDlBiYqIFd\nlPc6FpOmlgHLVwoSAYolqEBAAgtKMdNgmmgtu8iUHZjMAkBmnXM5OTya5e76+rygQTwug0p3Bdza\nEoumnj0Ukq94IOBlI5gBXSbjDTAdZ+Tl82himMFnIiH7ZmBAMgpyOfk9k/H2nflctLXJ9Zs3A7vs\n4jVIjMcl2GCW2SwU5LMTi8n+jsXkscxnpVTyBr6FgjeQrVblsSIRL+PAZLIYptmh6WVgGjX6A1pm\n8ByNymsZGPAeIx73lm+sH2RPxgB/IlduGE+fhlbKNcx2RyLyvWyEQYNRDDe4aDZYUH/7RsEDDjan\nz0QPHrkvZy4GCmY4N5V5yN83y4JOJCRoALgLQsfkhjGz7lMRKNlym3xWVkwIR4BKFoi3wapW4eRy\nUEVbBint0rJZKSWBBseRJRg5aJwcZvoCGNyC2z9rXbBh2QXZr3YJaIu6U2K29K9MJOHkC3L7cEgG\npaEQlCX7UFWqQHtSshBsGyqXATSgYjFAO7AcCSo5VgCItw1uyKe1DFxpZMMF9rSW/dLeDkQj0KaQ\nPZvzph+VkniCOdMNh2ojBO1ob7RJU8bf9NDMFNcPTNwVM1EoyKDRLLUYi8nAIhSSgWYwKNebwVJf\nH/D22/J17+8HdtvNe2zT4yCf92ar/SnlNDnM4NM0owyFJA5fLsu/Mxn5sW0JFNi2DLZtWz4fJuvE\nBIMMU5LS0SH72bLkMtM40b/KRqEg+9w0QzQZKGb7TI+DaNQ9nNSVIJhVEwBvKU9g8Kx7oSBBDJO9\n4C+1McGt+oEy4C072WgJx2ZNxsoN4+nTMNJ3qz5gYLZ7pFWMeYQewUQFDOrvy8DBzDBZg0iWK8ws\nDBbsIGp5haWh+XLzF8CxbSCdhhUIAJWqrJyQTErmgRUAkh3Q6QxULA4kgoB2AGXJILSYB7IZ6L4+\nqakOmJxK+aupTXEnTTzbHtz8LhSWszkzrWS5BbZmYW9LAeUikHGnpUpFqGQHEE9AdXUBPduAslt8\nXSpJkCgShS4UZCnOnm2AnZc82ES7nP0uXCiZCe4Zsg4EJWW+XAJsWwaz7e3QphCXpSqNDRfY01qC\nOEXpJ6IUoKsOVEV6FehqVfaX+/4rBWjHka+51kB7Ut737vjUv6adVP1sqNtyYhBzeT4/9Lpi0StH\nsCzpvG96ImSzXkd90yivWBy8goJZUq9cloFpOOw1TTQmauaXhAkapNMS1Nm2TWbjzUC9VPL6EqRS\n3tKI8+ZJAMAsj5jJyH7MZr3Zf5NRAsght61NAgMmg2XLFnmOSkVuZ5ZqNBkmlYrXUNP0OkinvcwX\n/+oIJkjhV4tFhr2ShPrPjym78Tf1NAGNUkluk8/L57Gzc+zv70Sv3NDswH+4+5pAT/1p1WgrTjTC\noMEwGg00mgkW7D8nU/v9xd7GuVbDZR0wcDB1WhlI+vf7cGUmNDMxYLCDMR3Wi0WpgXa0d1biTj04\n3d1Q8aTMJA+kZNAYCsvgBI7MOBdL3mMWC9C5PKzNW4BtW+WMoC0hZyrJJAANKxiGU60OngWn8bNt\nqEwGqlqV5oUAlFOFzqShnQRU0QYqFSjHkf1Yrvj2gQWkM1KKUNbQoRAQT0Jl0nJGG48BgbD0ryiX\nJYOkr88XfAh6ebCpAaC9U/pjKMBxHKiY24zPsqBMAXa5BFiKKykMZ4TAnq5WYfl7HSgF9GWhVUaq\nFdz+FDoUgs4XoBwHTqUK1Rbz3utmzlpp3BrNhprmeOZ3EzDo65Mfy/LKCMzKCmZ1BJOGbrIO3nzT\nqyM3pQ6VimQixOMyoDTBAzOraRommnT3WEx+GMObOCbQMzAAbNokg/7eXm+23wyclZLblEpyG5NF\nsGiRezhNefvecbxlF3fdVQbbJtME8Jpf2rYEEcJhL4iUyQwOQpiGiaaExXHk+Xbd1StdGW1W3R+M\naDRjbgJTZqBsggb+22azsj2tZhy0khHQSklEMwP/kZjvjwkSmj4QprSjlV4iDBo00ErAwB8kGOm6\nRgGERlkHDBxMvtEGkiMFh+qvGymIwH05vRgw2EG5+bC6kIdyHOhCXi6PxeQveyIBvXgx9B9fgpXq\nkywDVQU6Y7DKQSCTlvRzDSCXBtIZmeUOh4FIWM54MmmgMlcGpG1x6GIJqq8XOtY29Cx1ogsedxb+\nrmr+Gnil5OzHPVNVQTcf0goCqgJsflsySSwNpLNyRjqvAyqXBXr7gE1/lf2Wj8kMNWTkodMZqJCb\nDg8tJSqAl4sbbweUguO4ndqCboG22TalZFtNBgR7XDTmD+wpQBdsABrKzQpBJAxEovJ7wJKAkGVJ\nEKFchq5U5btoWV6PEnMmb9ssbJ9kw80qWtbgGV0zqDMzwI7jJvbkveXyzMxwX59cl8nI/Xp6vNT3\nSkUev1z26uXNQHK33bxZ7UpFHjuV8pb1W7BAOvYDDByMlxmAp9Pyk8lIwCCbla9dPi/v+cCAV0lm\n7mMG/YsXe6n/fX1eYKla9UobNm/2Sk5MOUG1KpdpLfvelAj09XnXm2QkM/D3r55gWV4vgpFm3U3g\nKef+GahUhv4pN4/h77NQH1yof75mtVIK0GrPg/qBf6u9Esx3u1DwMkrSabksEmk+0ZJBgyY0GkSO\nFCxoxNy+PnjAwMHUmoimlo3uw0aXMweDBTsoM21RKkH19gJ9vVDlMpTS0NE49KJFMo1h28BAP6yC\nLb0JNICgu6BzJgvoqiytWC7LoDNnA6l+YPfFMkO6vQ9w3PWkQmFg9yVQXR1SurB73NeoLTp0aTlO\nezXPcaCqFekxYA0OuCitgWxaAj52BVK3oGWZzIF+KSux3fbe5kw2nZIzyM1bAFSBji6gd7vs645O\nqEJBRjHJpNw/4ebFmqU6Q8FaC20VsBrW50u2vHb3dwvTLzsb9wxUFwpQ7p9NVa36ljqtQpfLUImE\n9AtxM0F0qQg4GqrT7SkSrMr3cEBWxUAlLLnQNGlG+lhHozLTWyp5A5tQSL6C+bz8ns3KoCoel8GZ\nWaKxt9cLLGSzXlp6NOqVL6TT3uEznZb75nLecoyVihxizaDTBB9MDXx9czxqjm17GQJbt3pNKE1Q\nyPQgyOW8VQ2SSckuCARk1QIzeE+lJEvBNMeMRKT3QDLprZKhtZdxYFY2sCWpDFrL5yMUkh/zeTC9\nFcyqC4AXeLCswXHcRrPueXduIRj0GikWi95ykY4jJRYme8AfOKjnD5q0kvzUTEbAeHoemIH/WOcw\nikVv+dP652603Y0waFCnfsBRP5BsNVgw5PEbBA+G63NAE2uiAwb192fgYPoxYLCDcts2W9Bw/rpJ\nuue3xWQ2WCmochF4+69SB10qymx0IQdUNaC0nOVkUsD2rUDEzTJwHFk1wc4B0EDfdilbCCgg7/71\njDhApSz18kUbur8f6O6utRFXlbIMeLWWhnulojR583dgoqFsW0oCtvdKo8lIxK1bl7MiXShIGUlX\nUs5Wi7Iigt62FUorKT1IpWRfOVXg9b8A0RhQtIF8DujqBIoFYHtG9nNnN9DdJdeFQ3Lb9k75jGgA\nAQtOMCQrbXR0QKdSbl29hvLNMmlA6vYdBgyaYjI1tJYTWRNMKJehwhGgWpHVLMJh+d44GioWk4BM\nsQSVdYvinapclkpN9yua9UabDTUlASa9u1KRwaXpPG96FZiBT3e318OgXJZBWqEg/zep69GoV//u\nb6LX2ytxQbOMnpl1BmQQWi4Dr78ug9ZkUrbN3xyPRmeSvUolCQj098vXrFCQP5tm34XD8mdvzhzZ\nH4GAlx1ggkZvvAFs3y63NVkkti3lKPG4lBGYz49/YGtKGbq6vFlupSSA0dY2uFGh+Zzk8+7qrFHv\nccy8gkmrN7PuJoMiHvdmz03vApMpU9/g0GRBmGCD//3yLyfa6kB9pIyAieh5MNaEx9Geu73d2+7h\ngikAgwaDjDVg8J5dN474uC+9vfvQ55qTGTFwwIHmxJqMppaNHouBg+nDgMEOamAAVj4nM8GVCqyS\nDeQyQDYis8QAEA5BZbPQ2SxUPOFOW7kDjHIZeHuTrJaQyQIJSCM8sz5YuSRnpm/9n1ssG5XR4cIF\nkqlgWUAuLyUNmTTQ3i4zzuYM2WQa2G4X/1AYOpH0+izQYKaPgeMAiTZpSFm0gYGqTF2F5YxPxyLS\nUM8s+m7noWxbggSZrOzDYEQ+CyV3CiRTBipFAEr6U6QzQGcHkO4H5s8FuuZIaUNnl3fGG43CiSdk\ndGPyTotFqEoZulwEKkqCDGZJT4ClCc3wZ2rU9TpQgYAEhrSW3hHBoHweqlX5HiUSEuSrViUwpAIS\nQHA4eTLZmpkN9fcaMAOvTMZbarGryxvshULS5K7kJm+ZZnjVqjdQ2b7djdG6wYh4XLII+vpkIGeC\nEmaGuL/fq0br6JDbx+NeGjzAQ28zTBzOZHEUizLANgNgExAIh+X9TKdlEG36UyjlrZ5g+s6aQbvp\na2Gq98ygPBr1mi0GAl4WiVLeUoyFgjzn3Lnen2kT1AgE5PBgMgYMM5iPxbzAQHu7PJbph2A+syYw\nZbIfksnBg2X/NpvAiclmMNsZCsk2ZDJehkwrpQSNAg3jWQVhvJp5brPdI1WIMWjgGkvAYLRgQaPb\n+QMIDBxMjakIGNQ/JlfIIGqC48hfZbdJHrSWgUe1CpRyEjSwLKB/AEhnYHV2eNMbgRDQ3yt/2Xu3\nA51z3SksLY/Z1e2eBdkyK20a7eVzAJyhnY/a26FCIaDqwOnohAKgwiGZSS3akn5tusRbanAZA4n6\nPgYa8t73DQB2EbojBb3rblDJdrnNQAqolCQAkM0Bb/+f9DYA3OwDR4IOIcvNdy4ByS7JXujtk/uG\nAkA5AmTzQPdcqTFwP0OO1hIY6uqSxywUJFOlLQZdtGr5ok4mC9XRLis7hMLcp83QGrpcgQoF3YL4\nSK3XARxHsjjCocELqWvURqHKLgFhd1/n8kB6AGif+L/JNNRo9dFmhrWnx6t7N2ved3bKbLSZ1S0U\nvECBGVgCcr2pkzclDmam2AQFAK+FSLXqPf/27XKYj8flObu7vUGq43irMDCuN7JCQQbQpnKoVJL3\nfcsWr0+B+QyYDJK2tsEDTMeR/dfdLZkB5s9gOu3dR7vJfqmUN+NfLks/ChOLNZ+VUEiCRZ2dXt+L\nSEQ+K8GgPH88Ls/nD1QoJddblhdo0NrLeDH9Fcwg3T9z7/9TX99PwAyUTflEMOiVTZjLTLDCNAMF\nGv+JqG9/NKT8rcmeB5PB/9z12+l/7vr3qx6DBk2oDxg0Gyxo5D27bmwpcEDjM5UBg/rH536cOswy\n2EE5DizU/bW3i97URDYj9emFHGDBXf8rJ1kG+RywdYvMLKfSQNldhtFxiyahvKmvYsk7u507R64v\n5OWMeCAlHbkSCQAStFBFd8YbbXIGMZCWfysFXakAiaSUT7Bh3mBaQ2lHykty7sLflaqcCUJDlcpQ\n+RycdApWICgD/DdedxsQhoCQm7+8ZbOcRSYSXnZIuQhUSwDcKbFKGQiGIekfAPp6pQ/C/7enNLTs\n6JCMg7Y22bZCAejpkVU5TB52MgmdSABVB7q9natnjMacbaZSQDYLq1SELpfk+9DZCUQjQDgEbQWg\n2iuyhGWpJJk7ABAIyDKX6bR8t2O+M28rwGDNFBot7doMyEw6uRn0+2f8zYDR3M6fXWAaJC5YIAOx\nqtu+IpPxBv2xmJfqnkjI5bmcBA1MLwSTnZBKyQyoKW1gy5GRmaUJTRzX9C6IRr332FxvMg3MbHyx\n6DWwLJVkxVpTBmBigIGAt/pBpSJ/UpNJeaxMRvataXg5MOD1y+jokKCT6X/Q2SmHA8fxBuymvCUe\n90oZ6me/TX8AkyHgX8bRlCeYrAh/A8JG/QRCIclaUMrrm2HeP/Mnwf89afRnv5nmhs1k+UwW89yZ\njBf4ALyMjGafm0EDjJxlMJEBg/rHMMGD+sBB/bZxdnpitbp05nCG22f+52GTy8k31uUzaQYoleBk\nMrDMIs/FvPQxqEIGiEpJNkE2J13Z0xmgZAOFIlCxgVIFyA4APb1AqQDku6XMIBBwO+wXZMbbsgAV\nAOIJaZwXjsjzmKkNpeQMJxSspVmrUFjOchWkbMEKAKEgVLRNsgxsCyocYsM8v0IBemAAattWGcTn\n8/J+B4NANFw7k7RsG+hsB6CAalmuQwAIBOVs1i4Auaz0JzB5p7G43F4F3QFmTHokxKLebfr6gPkZ\nyVAJhb0pE9uGSqWgtmyS0gStgFAQet58YOFCb0lAc8bH1TKGMmUdqQGofEHe97Y2qIIC0mnoahW6\ns6vWHU2n016PA3fkoiJh6FwOKFWgikUJ/IVC0vwwl2m+hTdNiPqPuPnoA7K7zWDNDNTDYWDbNm9J\nRLNSqUk7z+e9Dvn5vAz4+vvldj09MjgEvCXfzG1N8AHwZqNNSrmpV89m5TDib2RHw9PaC7qYJQX7\n+2V1g2hUkq96emRgvHWrvNft7XLbXM7LDth9d69BolnhoLfXm+2vVOR+1aocfuNxLyDV2ekt8WhW\nI0inB5cObNjgNWoMBCRA0dEhryEeH37pRMBbGEdr+TNuVgYw/+/q8gbuo9X0m4aN/lIC/3vp/7zV\nz8630txwvKsgtMr/58x/WaOsB3Nb01O4kZ0+aDARAYMly14d9Xne+uPSIZf5sw78gQOWKUyMVpbO\nBCZuRYxmtov7c2I0EzBgoGCGsm2oqnvGMdAPVCuA7eZPzreArHu2mMrIoL2rE3DcWvZqVWaw+3sl\ns6Ba9haGrpYlwJDLS710qQj090nzRKcKlKoSMOhoB3ZfAsxxW0MnEtIor1SEKtjSdLFclkwH7QCx\ngPdX1p3e0MHg0IHmzmrLFqj+fqi+7cC2Hjnbq1Tk/bPzgE5KqUChKFkDtjto7OuXIE42C/Rslfda\na9nHVkD2c9DNRlm02J1WysrnAQACYfncuB29dKkkGQixqHc2uG0r1JYtUuZiprMAqJ4e6EgEur3D\nm7riahlD2bZkCChIhk7IXUy94AblHA1tF4C587z3y9fjALYNvPUmsK1HvlPJuAR82mLuiMEePNVJ\nUyInVXoAACAASURBVK4+Vd2UHJhyg7Y24K9/laZ3JmhgZnRzObmPWT3BdNWvVORnYECCDeYwaQaf\nliWP2dHhzfLG48Auu3j9aM0Sfe3tMliNxSTGtDMfapthGgeawfDbbwOvvAL85S9eRogZ8OdyXt8C\nE8CxbW+lg2JRBsFmn5rPhCldaGuT/RWJuKuoOhKQMCUDJugEuD1y3T4LAwPeagklM0fQL7fv6PDK\nB8zz1fMHuMpl2c5SSV6HSTDz33akmn5gcBaAP3hQnwXgf6yxNDc0QRXTcLA+KDJRpxMmudKy5LmK\nRS+oU585YTIrzFKre+7Z+DF3+qCBX6sBg2aCBY1u6w8gNBs4oNa0EjCYiBUxhgscDLcfGTgYPwYM\ndmC1v7TS6Uqn01AVt9NRqSLd8OeFgf97U+qeIyG3uNHNpSzkgWxKcp6rFRnsFwuSWZDOyhKMSsvs\n9JbNssxi1V20uVICEJJgQqEAwJFBq8l2sIuAU5VMAw05ozFnJ+EI4JZTKK2hw2H3PjaUpaChgPbw\ndL2r06e/H1aqX953aBnQb35bzj7icXnfLEgfinJW9mM0JgGCQEDq2bMZd1BalNt3tEtjw0RUVruY\nMwd45zvl+ZJJdzWMogSJ7DIQiwBtcah5c4G+7dBKSZ+CXA5WJiv7OxbzcqkdLcGjdEoCR8WiDIwD\ncganAPatAAZ/V6tVKCgp98lnpUFlIgEEFKxKGTqdhjYd7aJRee9SKVg922SEoCGraGgt5SWWJUGl\nQAC6axcgwVPS6VA/U2pSzs1AzBzmNm2SDAKTJRAMes3zTFZAKuUNvExZg5l1NbXupnbcLLFneh6E\n3WSkalUGneGwPPbAgDzfokVe/TqNzAygMxmv6WQ2K/vLZJGYFS9MCYB/EG8Ok5GIfMVN/wJTUrDH\nHl4GSCAglycSXrlJKuUugBPwyhK6u71AUl+fBIHKZdnnJkhQLrstibrkc2EWKmqU0h8Oe8EGU1Jh\nemiEQt51ZgWG0foJ1GcBmMCW//BfH0QYa3PDYrFxtkF9mYNZ1aBVAwNeladpIlmpyPepfgWSYlH+\nb3o2sKfBMJpNa64PGLQSLGhkybJXWw4ccJDZvKkMGNQ/TqPgAQNA04MBgxnMdF53p51Ue7uccWzf\nJlMERRv4/e8kq6BQBJQjddMVd4nEnDtDbZfkzCQW8db1yqSBiGnT7ObHVtyC24GCmzXQBjgxOWvZ\ntk36IVSqcqaSSrltnd0zj21bJE3etiUI0d4OBINwgnJmpJyqpLdrDRWJeGvV7ywDTceRs0cznaEh\nM8yBoNuQ0C0XCYXdKS73/YfbTSsWBbZsldnmsG/KqavLbZDp5kBv2yaNLK2Q3Gcg5Z3RRQDEk9Kb\nouIAmSxUpQrHLPwOE/RxzzLz7vRlIASVSMpAN++Wxvj5p4t2Vv5VEiwLWjtSWlCues0NFeQ/pkmp\neb9CISkD0RoqEJD9BHgjlmoVOh6HamsDkglg3hjPkGnMGs2UmgGnu4swMCABg0xGvkKBgNfAcMsW\nr9v+wMDg5ngmqOCvozZBhP5+bzDV2ekttxgMAhs3yuPNmSPPZ2azEwlvmbxIZOTBzc7MBIFiMQkY\nFApe1oaJ6Zn9a9sygDcDdsDrX2FWNHAcb1UEE+QxJQ0mcautzetLYJbqLJXk8mrVG8CGw97nZe5c\nb0UOwDtsmAG0SZH3D+bdRVhqnwtzuCkWBy/PaAbe/tn+ZvoJ+Ht9JJPDD+6NsTQ3HK6cwWR7+C8v\nlbzSjmYVCl45jwkYmP1rWV7mhsk4MO+haTI6XGYHsBMHDZotS5jogIH/cZoJHNRvMwMHrWs0eJyo\nYEGjx202cMD9OXYjBfwYLNgBKAVdkPIEVShAb9siacuVCpDOySB/ICV/vcpFOUtMDUhK86ZN8tev\nUHA7H2kg2iEzx2b2M2ABgaj0OyhXZAm/iEmbjkmdfakMRCpAf0qCE8GwBCvSKRkE5fJyVlIsA1U3\nTK9zUvKwYCFUOAKVcm9rWTJuyueBZBgoqp2nQaLjwLLcwaNlScaAaX1enQNASR+KgYpMJwXD0jBv\noF/OJNuSQCQIVEPuyglK0tbbu6SvQcmWzBKtJQMh6qa1L1wIpPrl93CXlKQ4DhALSfZBtgIrEQfs\nAnTRhtJasg2UkgBGOgNElDTTBGAlE9JA0XQFc8lJ4U48tamUnPwCsn/b4rLfatdD3ve2OJSlAKcK\nnc1KXxAA2PhXqK1vu4uw56Q0oS0h9y3aUPE4dLkMva0H0LaMIGnK1A9szIAm7q52W6nIoTaT8QYY\nZuBmlmIMh92EorC3OoJZOs8EEgIBr1Gd6YhvBk69vTK4bHO/fmaQa4IE5vJXXwWWLJHBpmV5S/yR\nx+wjE8M1A3KTFWCWXTQDSRM8MGn9waA3Kw14SzCawaRSEjffulUO52aVDdP7oqfHCzKY6j0z0O7p\n8VbEaGvzVmswnyXThLDRINkM5hMJ+XyZwbw5bahfJnTQoi3DZBKM1LCwURChUZubVpsbDlfOAMh3\nqf7wN1yZw3Ctd/z73+xf876a6wEviySf9wJKJoBUX9rht9MGDfymOmDgf7zhAgf+beMsdfNGWzoT\nmLyAgf/xmXEweRgw2MGYwkb/2WmxCGVZUDlpl61UQJZYtAKAnQM2/lWCBEp5Ux3lsvyeywPQ0qdA\nuWcKparMUmeyABxAV+W6UkmCBtqRcgXLbXwYsIBwFKhqGbxGo0B3Uh4jHAJ6tsn9Ablte6f8PxoD\n7DJ0KiWFteWSlD0kEu5rU0A2C1UNQrfSknhHZllwoGCZWXy4AYRKUd77tjjgVKDL0t9AdXXJvii6\nramhgd3eAaiq3D7gm73OZb1c6KqWMoZCGOjtAd7xTsBtaIi5c+S+xYI0u8zmJTChAdgFqKpbWJse\nkEwEU4sfiwCJOCztANkclHuWWytJ0Bq66kzfezsT1M6KvQwQnc5A5XMSAKpWZR9Ho9CZjPS2qDpQ\n0TB0vgBlF9wyn5A0qMzmJavHrGsWawNiMVgmF5imlH+mtH5AYwbsyaTXcsI0OzSp5SbAoLX7FUt7\ntfSm+aEZPJqmh+ZwHg7Ldf6Bqamlnz9fbmtS102DOzMDblLozXaSMLPMSv4U4ZVXpG9Eb68EcMy+\nsG353fQ1MM0DTXZJLjd4Jr+vz0v9T6e9RphmRj4W8xZBqlTkdvG4NxA1jxUKeQPjTMYrbenulv0Y\nDkuSWSAwNHhQLEqfXLP8pylfMIGQWMwbrJvXabbJGC0I0Mhot2ulueFw2Qf+5oSNAhP1jReHey7T\nANN8p+tfu3lPANnHluUFcrLZ0Ut/dsqgwXCDjqkMGNQ/rgkemMAByxRaNxMCBv7naaZBIvdnaxgw\n2MGYv24R7c7sRrxcQmjoTAYqnZIGhbYtJQHVqjTOq7hnlaYRYTYjSyuGgpJGbmriVQCAln4GZVuC\nAaGQN/MMDYTc3DuT/h4MAXE3xzYoa8yjUgW29ADxHBCA9FWoloFYAkj1yYz4nDlArE2WZKxWZSBl\nBXwp2pBBp12crnd86lmWnDXm3RFBvE1KPAbSso8sBagAlLKAQl56DQQDEtixi0CoLOUGOgSoojta\ncIDuOZIVEgrIsoz+TmtOFdjeK/vYFEpHY/K5yGbdgEBMMguqZaCioRNJKA1pnqm1BHricSDpLtOp\nlGxPOOKtRVaSVTR0JgN07MQlCqY/QbEoS1bOnQMk4lJyYNY8K5WgbNvtHSHTiCqb8Vrsw81XD4bc\nXhcJoKtblrwMBOS7VJnm17kT8s+U1jd4M+UCxaJb5VXxBpZmabxUanAK+sCA13TNLFdnZoPNsnhm\nFQSz6oLjyEfCDBTjcW+muKdH/m8GSQsWeI0RzYBxZ0nqGo1ZWrFclsPg9u3AG2/IwNwEEwIBGZSb\nr2W5LNcDcp3Zv6a+3Sx3aQaTphmiCSrE43LIBrysE8vyGjCaQWnIXUQH8AJN3d3y+AMD8ns4LE0w\nzSC2t9erKDOD//Z2L6hlAlCmtMXfS9U0X2z02Wg2WNCK0Zob+p+70cB8uICB+R4ao63U4G/qaP6M\n+R/LlAKZTJJaKyfbew/9jSvr7ZRBA79GA42pChiMhmUKE2eqggX1z1m//1imMDkYMJiBTMd1d8lD\nFbCksZzjQBVtKUeIRoA0ZLBWLALVPPDGBm8R6WrFPSuMuZkC7sw0tMwsK3gN9iwAHV1ucMALTMAK\nAMmoDF7tgvRBaA9LinQwJI+hlAxOdVVmtyMR7//t7d4ZVsGW5423QRcKUOGIBDf8f+i1hjKDrJ1F\nRwccxwFKZVjhiPSfSLa7hZRuRkEmC1QdKemIxiQY1N4ufSxytmQY5G05S+xMAPEYsB1A34AEh4KW\nvP+VMpBzMwqSCQki2UV5/EpFAj5dc+XMx7Lks+MUgFIResF8qHib2zwzIWUPRjQCBILQlSpU0YYO\nR2Q0FI3I7t3ZelXUM5kXtg0Vi0FbliyvWS5D5fOykkg6JYGE/j7pLbK9180CKXuBO0tJZsLCBTJC\niETkWJDOACkb+Ju/me5XusNrddVQ85H2r3Vv1rlPp+VrZeqfCwVvOcVEQnZtW5sMGHt7ZTBp+g3E\n43IYNtkJZlAVDMqgJxbzVl/I5+XxgkEvucj0Qmhvl8vM/ctlGWgCg2eNd2YmS8QMIMtl4P/+T97D\nVEquMwGgTZu8lHWzkoJZNjGVkvv4kwNNKrtZodi0D9qyRUpFIhEvCBQOy2P5Z7Tnz/dKTUzTRLMa\nwy67SCbJwoUSk4/H3dhi0O1TDG9/m8yIYtFbccOy3BV9o172iVnVwyQzTeR7PNL3arT+B8Dw5QyA\nxN79CgUJ1pmGliaAMtpKDf5+Hyb4A8g+8GdjmMCBCSKY2zFo4OOfqRxptQRjogIG8RVZAEDumcSw\nz1OfbWC268XeJFPbR9FMlsF0aDZwQKNrtnEpzQD+jut+7l83bRehQkEZWBTdvMhUSmaUt2yWmV+t\nZBCfzUoJgXIHG0ElQYWyLVkGlvt8ps0y4Oa8FmSAHw5JJ34rAKgur3CzvV0Gro5bTAkLUEEg6Mig\ntmuuBBJiMRmoOo7McKsQEI5AhUNAriTNER1IUMORGWxdnISpjJnKv3pEezscy4KVScv+7+2RhoiO\n461cYKZOOru86SqlJNDjaDdXdZ6Uf/T2SvAmFHGn0dzi14gb7LEL8v+Fu0hjvlJJShDyeelZMbdb\nghfJdneJzLCUIJjHAbxRjAZ0JAokE3AGHKjOjsHTRcMVl+4sbBuqUnabUwLKCkjwIBYDEgkJEGbS\nQCErpSRKyb4x7dgjIWD+QiASgXaqQHunHAOKRQnAlUtAxZ7e1zgLmOQuwJuFHW7NdT8zUxoO///s\nvdlyI116JOgnFiCwE9xy+5cqVWmxHpseWdvcqm/7FfpxdKELvYFeYfQObTZmczM3ozaNjdStqlLV\nv+bGDTsQEYiIMxd+nCeIn2AymcxMksljlpYkCAQCcSIQx/1z989fGkqkn0z4+84OnzOb8dJV6J0u\nE4E9NZzJMl7qAjLKNRCgrCofzLe3x+1LlfDqlSckDg/5nIMD3g7mc17qiwVB5ybY+hKHKsr6ijo7\nA374gaTPanWxM4WOa8DGJVgsLoYMAp7UaTT8JSzlSJp6Ikgjz/150O26zri1No7tNuc3z31+Qd3W\nMhxyjgcD7oPULXHsAa2sDycnTlzmquLdLv+vOwJvW01wlSVAf79KAVAf2+wMvZ5/H7WlFLjXtrLs\n8syBy7Ib1OlEmQ8KoZTgczr1+65wyc0WmZvjiyIN3teWcBuEgciCzd8vIw+2EQcajzaFy8d1Qy0/\n17iOVeFxPm8+7gpB9Dhqo564vjGMgbt7Fc6HXjB8cDIiyDQAzo6ZP7C/Dwx2mLpkCyCugLMJK85h\nxKrlcgUMWqxE9wasLFulODnLQxjSthBGzo7QBnZdiSRfsUq9mDurQ0VgdPiEnvfRmDkLYUxyIDDA\nYAibtGFLC9NuwRjDsLxmk6ueSfZlAMs0hZlNgfXaiy2SJqpVDDObw5QlAEf2hAGtAWHIYxjHVCHE\nTdoKKsvnGcPVYq/jV0qNJkmilctJiCKSSlHT2UMsAzPDkHNXOlPtYknffRTDGAMM+rCBgVmfknBY\npdyvpiMsOrwvm7pBVJkcVeVDEb+Eua2PTRLQWoaHZgwzPQ9KhOEcKUOi3SbhVhbeNFtVQH/A7Uyn\nbF26mhPlmEd/wocMARe1SlSOQLd7vXxJBdSlqQ8/nEx4Oc5mLgok9NXg8dhL2pWOv7NDgLJa+RBF\ncYYSbDWbXi5fFARLsigIsKgNYJr6JHgl9vf7rgnK0oOsL1UApFH376cpm80oEA/wORNyZj154nMN\njOFcKo9CPK5aYQK+aq9qP+CBs9L2h0MPgLtdPj6f83x59ozn5WRy3oDown6p20Orxa+CPOd7Wuvb\necrWoPNInQDS9KJt4bbHuwiBbeGGV/HM27IVksTP484Oj0ed1Mmyi/URDRE49QwHbbfX87cy5fyK\nrJnPfVDpcMhr8Krb2xdFGtTHu2wJt6UwEDlwXfLgMuLguv74x3E9wmDTfrJJznyK8WhTeL+xjfB7\nJAzu6DC1xHXpSV15wcKcNyQ2YeT96cuUYD6Aa+dmnUpgSDUADImFCr68ZeFKWAYorKtCg9LzVhs4\nPQOmI6blGwBxQGKg0eBrGgn/Jh1k262Gh7tOg5uyr7yxDEPcHQLNFuz+PtBKYDpt2CiGXa9Zabdw\nVdXPctQ/7bCWLSe1ureWwLwsYZME+OZrN4cNAscsd8GEa8Ck3rYQRSRsqpJEkWK/p+6xpMkOCc2I\nRE+eURFycAh02wBcFsHxkQtdrBwR4XINluyCYYVmkhZsuwPz+md26Oh2Sf7ssWeYnVKbG5QF7GgM\nlAVbaa7nsMuKqoUvbWySgGcjmNXSIY6YeRWnx8yxWDhtc+DsJ6vUN2+3JRAGfO1qye+J5YLnUJoB\nxXLrLjyOq+XRdXl6HeAEga9Yvs8285zbWSxIJDx7RjA3nfrOCgKlsiDIzgD4BH6pDARGVd0WgM0y\nDwRVTVYbP3VM/eknfkV3u8Dz5/y7/NpqVfelCoA0VGF2WaQUW+UXK9Q6XlXFv6s6LRAuO4Gq/VIb\nSKnQ73s7SRwzh0DqFLXmzHPOk+wkw6HPqBCBoQ4cScK/7ezwvRRoqFBDwO9nHPP8++orr2QpCn8e\nvW9X3OtaeK5DCFzFI29mFWy+77brWPaRLCOwB3iMFThZ3x/x2pOJv31OJr4tpYauT3XLCALfLVmE\n0M4OVT/bxhdDGrzLlvAxCIP6WPzf3V8QBwDJg6uIg/p+btoUHkHm9nm9bGySBfXHPzZx8GhTuPl4\nJAzu4dBK8fgYODsFjiKY0xlsuwt8/bVL7AFsu8Ue7e0WAaCtWM1cLn0Fuiz5c6tJ+XOnDRQJK8u2\nAsIG5ea2IAFQ5GzfF8X8fe+QgXlpxt9Dt8JZLrkK6rrOCKMzVq3DkAD05AiABX7z58DBE69UaLX4\nmXp9vn+bKyKrxC/5s7fFJz+UUVUE8GrqbsBqfRzDxDFsM4GNIwSnJ5yfToc2gtmMrS2PT4C3R5yT\nfofzdXoKIOR89XvAwVNnN1gBz17QcrBe8/2ShNtdrwGsWN1GwBaNswlbNqpPXGTcvI2Y5r9aAHCl\nnH4fZrDDlerb1wiMgY1jVtEbTW/8DUME1RrVZPLltQWsk4DLpVMZZCTejCs95zkJv2aLnTNE1O0N\ngW9/TdWHAa+XpeuAEkZUdSwXRAPZ51cG3tXxLnl0XZ5+GcBRV4L6WK0uVqMFvAQ2JZx6+9Y/fzbz\n6ewiAFYrnLd6S1P/9S97QxDwf1kX5ElXxVM5BgKt2payD/KcXw1pyqrps2e+Ujoe8/STj/5LH7MZ\nb7sC5jpX6iGUyi9VFVugVEBeZI0k65o32UuKgiJAhRcq9yBzObaDge+goHlVi8a9PT4+m1301Et9\nEIb+61WtAIPAn1vTqVcfDIcktOpA/LKxCdTfx8JzXUJgW9eB63Y9qD9f12OW+WBJjTrBo8el6tFx\nUtvTJOH1orDRsqQCpde7eB6IMNAxeLQnbBmfWrp+E+Lg0aawfVzlcb+qE8Zl43MRB794zhc8n+8z\nHgmDezDSlOnp0zNgFQCTFcxiBtgK9rd/zqC5MIaZuFyDVpuS9PEUgPNDF2ve1Z4+AWCZebBaumC1\nBl+zs+N0spHXRRaOQOi7u+NsTlAaxgT6laU8fTanQgEVQedywef1XGrTYgn82/8Edo/4Pr0+8PU3\nBE/WwhqDYLEEshVsFANPnl4MfQQeBnGwrSyTumDC0CfoY8FARPOrXwG//QvYH38gUDcBbFHAaGXy\n9g3nqSyoCogKqhGqAoiHjvRxpck4ApoJFSTtNu0KRcFthJFTp6yBn74jOdTrA+Up0HHzv8pgjt6Q\nqIgbQOXOn70D7surl0C7DZPlQKcDk7RonI0zSunVK6xluNpVOOaXMoQCZ1MYodKk6YmCxYLzYwzw\nbNeVAddUioRumbkzgF2lMFbN4yte40mbFqByDrSvWK1+weM6fum6PP2yUW/DBvArU5YCwIO/epW3\n3gHhhx/8ey4WPppEAKYovB9e+yJgKg+84kPabV8tFSmgBHx1WVCQnQgMVcl//3u+/i/+wgffzecE\nQt3LI8O+iCELCcBjqPDKKLo4PwLk6pqgYEt1rdBrda7JQz8Y8LVSdahpjQDrculDEU9P3W13xtd/\n8w231W4T6He7nDN9herrVK03ZavJc54/arGo91XQoarxV533m0BdhIO4Z4DvK8XD5rgOIbAt3FDE\ngIiK62Qe6PWyDvRrwrZ6q0RZeja7nIgcKEvOzevXnkiQemR31xNAas9ZD70cjxlMedn4IkiDd1Wj\nP7bK4DrjMuJA49Gm8O6xzZZwHcLgc45HtcHV4zH88J4O6eAWcyCIWUm2Mb3vr34GYGAPD2H29mD/\n7Dcw4xF97kkXaLr0pDxj671ejyuKkxM+3u16DawtCeyrEjg8IKhsNCmRTl31u9lkMFsjpFzeWgLS\npkuCCgwwXxCsLudA161gRiNWxOMmMJ+wRDIZE5QOBsByBfPNN3yP1MLkObMZUvc9/lCC89yq63zx\npPKIPlPl8gQWC7+6X6xglgtYa2E6Ha9nni3YTtNaEj6NBldsmetKEQVA1CbQfP0ayJcEpQ2XdlVZ\nEgL7+7CTCUwcUn2wXAKdJRUG7Ta3lTtwe/ic7TrnIFHUcCqUhSOI2m1gPvVIyVoSS40G/08SnyK1\nKBAYsFPEl0QaAFTTTC0AA1NVjoRzOuHZhL8HITNI8hQ4WXAO4hh2uQR292F2tDo2JP+KkpajbAWU\nEdU8j+PCuK5fWvJ0VWbrr280/GsAnycQ1RCAZOsKmJO8XWFq3a4PtjOGX8G6ZKLIh9oJGAn8Caho\n//X6PPegLYq4fQXoKZNBAFYSeEnBv/uO2337ls89POTXxZ/9GfDixf3+ur3JGI1oSQgCHpM0JQCe\nzTh/ar+4XPowxDz3VXvJ/wcDPkfdCtrsnIpnz4Df/IavffOGz5tOfRcN5RL0+15sJyuDAHpVcb8m\nE+7PauWVKvLqr9feybRa8f2VWyw1xGLB/5WlIHLpsrEJ1J2jDoCvsmvM574LRH1sEgIiHoCLt/Zt\n4YbXzTzQ/un9AE/41ENDZc0QmTcee1VQneRLU0+21AmgNKXNo9fzpI9aLdYJpW3jwZMG7wo//NSE\nwbaMAz1WJw4ebQrbx3W6YNxFwuA6NoUvcT4vG4+2hHs8qgpBVRKkRbE3rLoYZrOcA/mAMvavvoJd\nzGF+/z+BN6/YD2rt2i02GgTzp6e8sz19ToCXZgT7gdPYPXkK9HcJXvMKiBNfZmlEVC8UFYMUg8iR\nC65B8XxB0JOt+Lx16XvJxw12U1iXfF4Uk5Do9rh6SdOLpb61S2WyvHPf++C8ettMOHm6FBTnqVsr\n4MefAVjaCoIAphVTBfDqDcFhugKSFhUYsMypKFxni6TJ49pq82/rnD+vUj4vXQE//sC2jM0GbJoC\ne/swu7skJeZvndohZLV7XZDkgeE8Fw757O0B6alPZOu0ue08o9pEZEHT2V2WKwCO/Gq5Oa4qVJV9\nmITBNo2vHrdsJYpWi21TV0uvlS0KXo+9gSMR5udx67bXhzk4pMVhlbLl5XmJDpyv0HU7GX7BpeIt\n43380q6RxS8UBKrM6vl1S0J9WwquqypPLJydEWgplC4IfBVUoERt8ARqFDmjFn6AJxIEYBYLr24w\nhpdo3fcuy0MYerJiOOQ+Hh/z/Q4OCGalZFgueav4y4vL5gc9dJyiiMeh3h6x1fLgXuRRnVTKc6/+\nKEvONeDnqdHg/9MpcyW6Xc75kyce7EqdoI4MsquIoBBotdZbGGRXWSx8tbwouK0k8V58de5YLLxt\nQQGLWeatMiKx6nL/y4C6rpXNCj7gpf11PlxD25xOPSkg60V92yI8gIuivHddwwp5rJMNOgadjr82\n6s+pX8unp/w8cuPFMbc5mVBVUBT+WgoCWhRkO9EczWb+e2KbsgL4AkiD+hDYuAuJ+te1KlxlU/hS\nx/t2wbhr41ExcvPxSBjckxEEqCqLwMnpzktQ5+VqA6M732wC8/wZMwT+x78yxyBqAQic7H3tpc7r\ngsqCdtu10hvQn97qEOzFEdsl2pKvaSR8rNvia4sKeLILfP0Vf//hTyQDtBrIc4LcH773TcQrEFyi\noqy9dCvqsgDO+sDzF/5z6/M5QG2re0wYbCbm18d4dA4gaSNwBI4q969fAaslzHLB8EOtSJdzYP+Q\n4L7pYqJL162i02HQ5NERYA3nWxrq/UMCTAuY0Snwr/8C20pghgPuX1kReK6FXhxRVa6ZP1GVLEda\nQzIiadIKUboQzskZCYxOl48roHFyxv1aLYFXDSA3PL+kp34oY1NN0m/88vHKwmYpQw/DEJiOYU9O\nYaIQVVnB7B/wmk5ddkEcA1EI03BET5P6c+uQigkDYJ5R9z4ek9w5fQ38l//yOY/EnRvX9UtrQfBi\n2wAAIABJREFUqC1inRio96sX8Nc2xQkJhJXlxZA5wH91S32g7gmSwPd6fJ3AvSqjk4lPY69XlSWp\n1vsoBV8+691d/l3khwRMo5EHoAKc2hd9xpcvCaD29q4Gaw9hWMtbkawdqrzXMwwEzuuBiLKR1ONh\n4tjP4WrlGgvlPN7jMefx+XP/d8BXv3WeLRberqDs491d/k1EU+L4fM1pEHDbvd5F/l0EkmwVOhfD\n0Ffiy9K3jtTnAXwew+aQlUHnn1QvOpa6LradM9p3EQL1ivxVWQVXXcMiKjZtC3FMu4fUN4BXdUgh\n9PYtFTbqSrFUNq0jRjQHrdZFhYSsQhoKKVWGQv1vm+NBkwafwpawqQTYHDfZ7ruIg0e1gR/vmlfg\n8jl417x96vGoNrg4Hm0J93wEAVevb15fqFQCFkjaTNcPQ5iqglm6nlyFq/Dv7vHOleW0N5wc8+43\n2KE8PQwBGC9nb7WZXaDSFioCVQS0Kuz0eVd+85rkQDrnnbYogdGUle35gn3kmzEfj2Nuf50R0IYx\nA9/SJZ+bpdx+FHF/o/gc1LLMUsKcB+rd035g9pK2mSn1jcF0CtvvAc0uVyidLqXpq8yHHI4c+B/0\nARgSLkUBLGcE3qHTXr78ieF5ZQUbGZhul6uu5YwV6+WSRFIY+HnIMxhb+tVSmgLLKQkCwDfsTrOL\nceHdLlFGWXI/R2M+d//gPMSR21s5a4vrvtBqA7MZbGsIs7f7sPIqLlOT5DkwnhDY6/E8BU5O2Olg\nnQGVhdnbA9IVgnYXiEJUP32PYDgkoZY0z0NCMZ0CezFM0kS1LhBkOdDtAHDXX6vJ8NLeo9Jgc1zH\nL705Wi0vi96MIakrEGYzDxzVheD5c77uj3+8WIWuKh9IOBp5kKFLQB0QREColZsqsrIrCJwJANW7\nPIgQkNXi7IzbkYKh1fK97IuCYPb4mAoEVVeNoYReAXA6Fg9xrFYE6sslj5XaW4Yh5/bsrNagZuHV\nGCJqJN2v++hFGKiCr+4EReFJpdeveVwFMBVoeHzM16lbhlopqootwkJ+e+UbrNecr0bDKxgaDZ97\nUAeycextFZsdE4zh17euC1lo6mQEcDFPQUocbeuy62mbakF2h1br3Xkjl13DIjAuU/0IwOc5j59I\nOLWlPD7m4+02fz499cqfwcCTNSKV6sdfxIK4fNmHZP0YDC4/34AHThpcNi5TGdwE2F8XdOp5l73H\nNrUBcHXGQX18acTBbXXBuMz6sW1cpQq4qWrlMRTx/cdtqgwecyRucWwLyRsOUT19huDVS2dOXVMu\nvjPkP4BV5dMT+tJ//okV3U7Pr1K1+pDNYeEA58EQQEhS4MUhAUocs4o8nbhI7RaB6uiMmQa7eyQA\nKlemmk6AdAGYgCnw8mcXObBw4X5FSUVDt839fPWS+92IWFmfuhXKf/pPwCqDHY+AdggsSthul50h\n7ivANLXEfABIM4LLwAABYM5LNM7yka44x2VAkF9YZkgUJckUGS+LgkBxOubfZDHp9WCscQoRZ7BV\nybIoXcrTgoqSyK3QygowFZUEzY7TWoKrqTDyqWt5BiymwLOvuBI7OfYlmCgiObBaAb//HYmJyACH\nT2hDmU+BpEFjbwp/rj+EvIqr1CSzGbDjVo9pysyOquK1c3TE4xU7ki9dAe0WgtxdN72+K5HlwMkp\nTE50aRtNmGbDz9N6zeeVFYmI+3aNfKJxlV9629j8Oq4/LrAznxOUlOVFaXKa+m6lxvASUdCerAcC\nJ5KQt1q81JR9EMc+xV3yeb0uCEgyHBy4nFJ3Ow5Dr2bQPqjSXBT+efJjj8eeUBgOuR9VRaXBaOS/\nburH8KEMESfKoGi3vbpA7Q+VSaCquOZb86Gqvdr06XcRPIB/rRoOHR46Dn/gMylWK08utVrcRr/v\nf1bnA21H55D2P4r8rR7wygKdjzofpHyYTHwgYl0psFx6IkuEkT6vQLNsLiJOssxnasjCszk21Qf1\n7guTCRUB7bb/++btQdYFfRY9FsfbuzZo+8Mhj/Vo5LnvouDvgFeB1OdARF2jQeJEx0LtV0WoTae+\ne4T2u541ctl4sKTB+6gM3mfctEL9w//3lx9EHGxTGzyOj5tP8a5jrL/fhDzYnMPHUESOy1QGt0UY\nPB7fWx7bQvL0+P4eKmOAbgQ0epTr91n5N/MpuxXM57zrjU4JDlEyl2A+I7CE9auP9ZpANMuBvX0C\nu4MDtmK0FshXtCbEMcGoMdzmfAYMnV41jCiTH48JJMMQMLEjDwJWp8OQKwFZIN68YnllZ8C091ab\nVfQsB374E+xwB2ZnhyTGYAATcaVq08xJ4e8hwDwvj7gVROZyJJZLl4IPIFjD5hnMkyfAn/5IZch4\nwi4X2YqZBJMpQygnM+dfD0gimACAIZHTcOWjKHJtFEvqi6cL0BZS8bWrJdDcc2gm4BxlDaDrVCWj\nM6oNOgnQ6nLuopArrPmS50maAYsVMOiyEm4rBve1mnzP+QKI3erZwEW00/ZgguQ8o+Le51UAl6tJ\n3OOBPh9wcdW+XADrlNdhmTnlSEJSD4YEXTNiaGgQMJPEtTI1cDalVuLLZ1EM+pjKh4fsbnGoWngZ\nP3vdUQdW47EPQROQaTRYeZxOfWTLfM7HOx3KoXs9/3wBr36fj6uSKVuBZNF57gMNAT6/0fDBaxKj\n1AHeYsGv8W7Xh/OJsyoKvp+yFOZzvt4YblsBigLN8rvf50u1PsT1iYSRqkSPj0b+HJHPXWTQbOYt\nDIDPHJDqQC0zY+YWn7fkqyqCVylUTk58Ir/mrNnkvOg8FSHVplAL3a5XlEgYOJvxFt5uE4ALyMqD\nr88mkkFhi3VPvxQG47G3WOzseCLl+Nh3bOj3mclQbzcqRc22r5+6vaAeriiiRR0/LrMkZNlFsk/K\nBp2Lyvyovw7ga0QoiHTpdDi3y6Un/eZz3raUGSJFTqPBDghR5FyXTnHw4oWf7/HYb1+EkTH8fdt4\nsKTBZeNDweV1CIP/99XXWwmJbaqDq4iD+vjSbQqXEUEfohx5l9rgfUiZ/37au5WsjC/dpvAxbQmP\nhMEtj20heWl6UdZ8sA8M26haq3PzqplOYY+PYaKQdzZrSQKMR04jx5aFmMzoS2+1CS4GA1fpdqC+\nssDZiW/XaAIgWQGp6yNfroG8oAKhcjYHEzAXIQhIJCyW3F4zouIhT32/oYZr0ZgkBLpJm3fVxYrA\nMowIVJcpcJjArFw+Qhn50kazcX8BZpJQJbFcIljOYZcLmDRjt4tVBjzbhTmZAt2JQxEVcHbM4/72\nLfBGUd4DzlGnTVXAD9/z/8GQFfxunwqDN69odZgtgNKpGhqucXi3we1WhbMpGNoXpEJptYDhLrfT\n6ZCMGPaZidGkv57loMCvNkcjtlR8+oRzH4CWl8mEIZiDAYkKpz1lHIf5xc/3dmyqSWqPM46DK11j\n3XX25g2PmYi1bpshovma1yIsMJ0BPVfKjiOSDL2dc9O5nUxgBgP+7MQoLI01t/f5ehwAbk4WAD65\n/uVLD7z7fQIfRYcoW0AATJVrBRYKWAnABQHBiMDmYnFRGi7esZ76niS85FUxFYCU513VUnnO9X7L\npQfAAlOquCYJL9XDQwJQgWlV4dWKbjO9/r6OehBes8ljI2m5CBsRKqocq50h4D3t7bav/KvBjYC2\nYohEALRa3oqguQL8XHS7XikgMN7p8HGFI2qbUrAoS1e+fWMIgNUZQeeh5lDnkMiKogBevXLxKZHP\nbshz3yFgd5fnhiwECjysW3h0HLeJJnUeK4Cxfh6pK/BmXUCEQb19JeCVH82mJy6kABHxIuVFnRjJ\nMq/CERl0euotOUXhgy1nM98N4dtv+fmlpFCHDeCXtogw9OfBtvEgSYPbBpfAdsLgsnDCzcc2SYTL\nVAfXDUb8Usd1lSOfq2UmcDPVwaNi5N3jQ1UGj2TBRxjXlTXXh0yMzSZQrFl1jJuU/Y9GRA8mYFJ+\n0nYmzBkBpQXvnL02gJAopyqoBCjXrPrnlhXQ2YLv33TavLhBRUGaOs+0ofKgWPPnpEHSIAiB1Yzb\nj2sriPGEBIYpGdbYH/AubAISCmkGc3IEtF1yv82BdQD8+tcwtoKtKlh8wGr/Low8A7I1zJu3wPiU\n81GUwDQiGP/hRx7HN0dctXV6BP8//8RjvZhx7hvP+XhlCfaznFkT4zHnKY6BZyFBfgWSDGFIsgJq\nNN0EDvc5X0dvSdjst/nanR1aD0qXj7Eu3dwFDMz8/gffOSHL6L2fTXk+tdtcvR0dk9AYjWnw3jvw\nZSahp6sM5fdp1NUkm5+l1zt/jh2NYNIUgPE5BW/eULHTaPI4Wwsc7HNOf/6RZM1On9aDKCTBEwQw\nzqBsW23g629IFGUp5/8hdqX4jKNeYT53gjjgWDrHjwDgdMp/oxEBl8LUVEk+O+M//Q54BYAAoGTn\ncgVJ0q6YEvWLLwoCfKkc5nMPrnSJSUItMFSX1Et6HQR8H6X2A/wMgwG3MR6TW35oo54NsVz6toPK\nMFDLSmUHKOtAsv36PCjToKp8UKGObRRd/Ldc8v3roZbyxivMUNssCl/lLksf7icSQ/OoJkenp34+\n1V1ZX8l1vl3BmyKxlMshgkugtyz9dvp97+PftA5o/0WwbLP/SG0hFYS+OpXboNfVFQX6nJtDFX51\nF9F1JMecMjra7YtKHakoRILpupjNvP1B191oxON5eHjxutpUYsjCE4aeqKl3hdgcD5I0uGrcxJZw\nGWHwPp0M9Nz6e2+zK1w2rmNT+FLUBvWxqRzZPJ6XkTDXJWA+BMh/qOrgS1UbfAxbwiNh8JHGdWTN\nesKbN8DbHMHZHNXbNrC3D1uVMOMJcDYioKws0B0Az74mEDcRq8wLF4SXZwSf2dKBzyaA0HVKaAAw\nBJqntdVJGFEGnbmKdelWJKuMIKa/SztD3KCUfel+7nQ8ff/yJQFlGAJw1oWWK9u0mvy92+eK5/AJ\nQei6AYxcjPHODgG2VjnuGH2QxvhTjtUKJkudZSDnHKQZSZWk5Uyq1nVCcB0uBjvA7/8ABBbY23Wh\nh8abPgcDV1YKgCIFRjOSRE1nis7XQBLwWKYZ0O3AtJp8zq9/S7KnKN1ctF3gXg8wIUmhgwOqRdpt\n14jaJUpZwyDLMCC5FDUIgBcL2ikKZ32JEpIFYczPvJgDz566kmsMW1bvNpTfpyE1Sd1m5LTj1kWl\nm3VO8H8eeOm0rvM551ErcLW87HSA5QmJm54rZy8XQBzBNohwLADz9AmqNAVe/YwgnwPHxec9Fg9o\nCFyoJZsS8vXVJkl3UfjAwTdvfPDaeEywL3m/YmbevPHVYcmhBdIlc1bP+zT1WQkAv7qThCBOrSEV\nnqdtJokHwkXhFQmqwOq5gAe2m23i5nN+Zkm4BwOSB9v84/dtyEqSZZ4Ums99K0oFJApwK0lfMSQC\n+1KLKNdAihARCwq3NMYDWIDHUeSRAGw9FFGVfwU0qq3feMy5ULeNbtc/LjJLZIcAuvIaRDwsl54E\nkYLAGD6m87V+fsznVBsoUFFAW8oT3Y43FQGbYYY67jp2+lnnlJQUygcRmVAfaeobNdWjcUQA9Xqe\nfNNn3d31S5qzM583kCR+n5dLvt+zZ3z98TEVG6sVj60UHto/KTH03rLzANy/v/iL7efegyMNbltl\nsEkYfEjbw03rwiZx8KHBiA/VE3/VnG4jgT40YPJDx/sQB49qg48zHuK1cGfGdWTNVQW8egWzmAOH\nO0DcQJA0gZNj2Mzd9efOYLl2RsxsRaC/WAK9IYH5iXVt+UoXqmdZKU5aHpBmKYmFZgzk0qOugWbb\n9Y4HK8ozl58QxExvL2PmJ/S7BDgN1z0hT72XfbkCEDBh/+yUIHm95vsGkS8X/PGP3ObsDEgt0E5g\nh0MgacKEAQEYcHkGxF0cqxXT8g14zJYLkgXVlMc6DBk++OqYfwtCR/IAmI4I/svKedpjHl9ZCcqC\nc93uMIMiCPl/kfPnnR2nPHArUOtWkfv7Pg3KADiyABzBcHZGi8pXXwGnZ1xtTcbuuREwSLh/peX/\nBx1/PvV6XGlFLtwyXQJffUPLTLUmIfRiH9Y2L8aNP5ThDPPnZF+SALP1eWnS7O2TtDk54ip5nfL4\n5BnnuMio7lmlnIvAtdC0Tj00d50wVkt2FGl3gadPYVcrmF99C3z7Dex6DfSuKHE9jvPxLt5RygJV\nLwUUBTJGIw/AlSWgamuS8O/jsQfsZ2eeEFgsPKgUwBTQrysOqookQRR58kCNS1SJXix8IFzdZ69w\nxMXiondf1VJVdtWtQUBxsQB++sl/RsD3o5/P/al934fiRUQMnZ0xm1SOK50fZekJH9lI5McHvBd/\nMvGgUvMpAkH/Dg48YB6PfQ6AMT4nYzrl126v51thAhcB8WRCQkfy/N1dT2Zo/xS4KaWKHpeFRvOo\nwEZdAwoylExf51a9cr5a+b/X24XqmAEXFQl6rVqSFoVXxkQRX9/rEaRLoaHzsk5kac7qpIYsI3pM\n/9LUqzYUFKnjqM4YZck5GQxI5HU6XsWxt0enl35Xp4X9fZ9rou1pHkUgHRww82HbeFCkwW2HH16X\nMHifdP0PIQ40rhOK+BCr01dVnXUMr5MNcZNxGQB9VxX8Q4iDL01tcNsqg0fC4COPd8max2NgNoX5\n/jsH/iwQt72mTj2Y0iWQ1/SUJmDF2ABIXePuxRKAC0wbDIFnz5159QlweEA5+nzm2u4tCQgDA+w9\ndavRBOhlPkGp6cyZrRiwfXZyKHIgdmC4EbDqXMG1GHSAaLjPn01AMkGVc5UYGjG3M+yxur1KYYIA\nVpHfiyVM4kGnAe5uZ4U0hckzZlMYQ9KlqqgCQQUg5M9Td8z6A0rUmwnnfr7k8ej2gLVrXzl3K66T\nExez7UpIjYTkUNygrSEOXX6EM5y2EhIJZcGVcejOj8WSr+33ub0koZogclrMKACmrnwZORvFcsnQ\nvWJNoiMvqU6YTqhACMDKeAgX+rgAOl3YICBYzu6BOuSmo776FhJzyLQyAYLhjtOsu6SyqgByMLcg\nkIZ2xeMsFUfo9MPpkqva4S6CdhsoC1RjF5Qoi9O6eLjH9haHgOI2GXU9JE//Ax5sy/utXIKi8BXl\n2cxXpfU6+cQFbgSWBOwE9uVnbzZ5yVnr/fVSAmibR0c+1zZNPdgSoFksuH2BQ5EIqkDXf1duwXDI\nbY3H5ByfPPE+f4CP173i93XUg/jabf+Zej161V+94vPGY08sABfVGMquEACvz40q+ZKtS2qvIEPN\nj86HTscD5vWa+9Tvcw6mU27TWh9wCPB1jYYHzf3+RVXD2Rm3M5160C6Qr/Nub8+rT7RdEUsis6Rw\nUY5Bff9EUK1W3h6Q5/54KuNAJNjPP/vPrOq9cg7qeR31a1LnOHCx04TOW4Ukaikhi4SuYQWJimRT\nR+Dx2AdOLhaeoFmveVx0/Sl/wSpiJvafS48rt0LdLqJ3sAIPijS4bNw0/PA6hMF1qsOX+dzfRRxs\nG1+iTeEyMLnNlvCxCINtQ8f5KnB7WwGJwMOYz8vGbYcfPhIGn2hcJmtuNoEyZS93C0+7L5fA2lWZ\nj49gzk4I+lUuU6PgbpfhdT/8yMdHp05l0ADaMXMDmk0CvcARDCqnNSKgdOlG64IAtt/zQL/teg61\nWqx0zkYAQuDrF6yCJi3mIYzPCFzhtK+HB6yanx4RHC1mBJbffMs8htevCTZz9z4dt1J49RJotRj2\nGIZAGMN89RWsVtHSVd61zgo11GHhVCMtl0wVxQT2S1ciXK0AGODJM/rbl1NvJwkNq/RFRTtJGDCU\nMku5HePMs7s9/r3f9UGT0rA0nEKh3YE9PqJMvtvn8W7GtLXMZiSRLKhYyTPg4BA2z2GGOckMqJl4\nwOdIm7uaU8WQZ3yfbpf7NB5zP7MMtix8SlW+3nLQHtBIU+DHM5jvXzM6JIx4TMLAZ4XAkGgZDkkM\npU7zfnxEi0oQ8ljFEaey1Sax1O1wnly/LzPo4zyYMssA0/ysH/2ujzpg1NiUUQsYSu4tICWALt94\nHcwINLx65UkChbgJdErWrL8LbAjsHxx4kLlacXuSR4tcmEz43lXl1QcCNGqjGIY+9K7d9q3k6gFv\ndfCrzqxnZxfb+33zDT/38bEHzOriW2+Pd59GnRBSKJ5A6M8/8/jUAwHVIUOkgEgX3XJVmRfBJGJJ\n55fOg8GA29Fz9HqdI52Oj0ARGD095X7IgqDKe6vlv2bznETHdMpU//mc54Iq38ulc/g5cHtwwGr5\ny5d8z3oHg3q+Rhzz/FPwnzp6RNHF7gWycgioS9kgEiAMeR4tlz4zYT7357AyG5RdoLaG9WtSRJgy\nFpSzoDlSlwoJs5LEz8FiweNzfOwJi3abx0TqjG6X768lhUC/znc5yYrCLVVceKkck1JiKG5K1/i2\n8WBIg3epDDRugzC4iZR8Ezxe1WXhut0UHvq4ji3hUwQfvguEvos8uC5x8NiC0Y+bqgy+1OP12cam\nrNla3uFaLd6NjlusvucWeHtGUJhmDmQAePrcKQMC8AFLf/rBPnB8QoDSbTswGdBbvjvkHdYYAvzF\nwletDxrUZxaujDIcAqkLPCwLFxndAwY9/s2WtDBEDQABMOizgp7nDHKT8bfRJDjKcoLg2Yx2hFbD\nr37yAkjHrLaWcOZeZ7/IMhgEwGCHJIK1sK7/k2k0cKc6Kyivoo42koSkSlFQsh83XfZECESGJM5w\nh2RM4zvgzUuC7jRn94GdAVdxv/kzAsjJhKv8nQEw2AX2hlQNGOd5MRX/z11+QZ6zFWK77ckWazlv\nkynnxJYki+Im0GjCxK5EJU0owHPg5NS3bFwXQCQLSsW/x4kL74uBsoQZ7nrjMB5I/Pq2kaYwR0dA\ny7BjwnqNAFxZV0kCdDoI4hhVrw9Trmlb0BiNaEsAeD1qNZytaRsRqmgQqQSBQVVWMBG2Z6Q8jvOx\nWTms2xPqvKNk4vrqarV8xbKuUpD/WZVTXSLylItYkL1AQF/J9pKmq9VbHHtQqqyDRsMTCQABl/Zf\nwLDV8soGefClaJBnXEAO8N71elK/vqq6Xf8ZX77kNnd3/XsK9KmN4H0bOgckjxdgNoaAUF91ktIL\n1EvWLn5dahBV2+vtFmVHULBeEPDSHgw8UFf7Sw0RR7Ku6DwV2aPuCdoXib+mU8/5KrhPlfpWy5NW\n2s8k8d2XJekvS97KDw95S5nNPOnRbl+0zqiyL+WM7DjAxU4HdXKlTpbUbQ9Sa8hCILuE5kNZD3rt\n2Rn3Q90pOh3fNSGO/XGog3oRDiK9lks+rn2qtyiV4E7kmraj/dT5o2OpTAxdO7KLNBre2nPZeDCk\nwWXjXb73y8bHIAw2X6v9qhMH17UpfIlqg+uMm5Isl7VdvOkc/z/j1QcTB5vjodsUbtOW8L6EwUM6\njp911GXNZYlAi/8oIth/dQrs9WlliNzdr9kiMBsOeZc7eeuIgxDY3XeJRiUwnjHbIInon+91gZ09\n/p8kBPNKzMqWACwrou0+pdHdLtByIX5FwUqn7pKVZcV8fOZk1BNWQcuSgLUZM9Tw5Iit/OZTICuA\nljMPvn7Fx8OAYXzjM4JPU1ImHwQMjosdjX92RmXC0ydMkXex4FVR8nlaWX/ukMR6XoXUJGkKs7cH\nawKgFcM8fwG7WABw1eEwIjnQiEj4/PYvHUA/49wWBUmV0vhm3VHM52cpuy7sDmH/6q9gh3tAniM4\nfguUGRC2SAK0ElauAV8mCQMXetgi4YDgPAXN5jnMzgC21WKHi8CQKIgbwK9+zTlapiSw8ozWl2YT\nePua0npjmGPxl39V08r2L5pPH8JQ4pgxbHl69Jb5D5OJV3qsU5gogB1+RfKgqmB+cuW9wpXV4giI\neiSTuv3znAr7808w3a6/VptcpVcwLlGtOD/nHsf2oa+Fy+wJAngCPnWQIqn3cOhD1Z488T7up0/5\nutevfVjeZkeEesCbKrcC/cDF50oavVrRhgAQIEkFcHTEvw+HrJj2+75LQ7/PS/vlS5/6L4BnjAez\ncpoJ1EURiY+6YGs8plRbCguFLEqyf5fEXdcdAr1qkwh4gCfQXlX8X201RehI+i/CRJkWCtzT14AA\nps6jnR1/3okEEvhtNDw5oOwEdSBQwKKes7vrLSeyl0hyr+7E67VP71erTiljztWMOM9pPf9ZYYR7\ne35JIbAsFYAyGwDfunO55LkngF4PRVRnB2VB1Bu7SPmgv41GnrwCfBtMwOdJnJx4S4gq/1Iq9Pv+\nGpJCQNurX+cietptP3eDAfdVSgTNveYT4PHpuMxf2Sb0fNmURiOvtJBK6bLxIEiDj9FiEbg+YXAV\nWLkMANUB5FXEwbZxGXHw0Mb7qAwuIwyW//m/AgDa/9f/8f7vXav4vy8QvYo4eN/3fhy3Px6Jgo88\nggCVpXoc4wmB5HwKjI+Bk4lvpN1u4bz6L4OhAQHd3h7B9f/yv/o7mC29QbDnWvZ1ewQgKhesUgLI\nZuJ7DD15TnBvLbfdH1xYAVVRA8G6vOijb7VYrU5dCpg1LhW+YnhfviTQXC5rJQ8Q+OcpLRSVodXh\n9BTotAioQqcBrSyl+wbn2lHTSmDTDDCAcf3rLxgrPyVI3cyrcMfdrnOYJ4ewzSZsUcL0+0DDAj8f\nOW1lxcp9GHKOF3PXiLrHz15WQJkD4ykJmYMDH9neagCjY9hmE0G3B9towAYhTLfvBCiWxESS8Jwa\nDLjiyjJYE9JCkbvuB50WEITcv6QJsy5hWx0AFnZ85rpBuFLmYACUCXjGWu6zyjrTmTtfAn/OzAuY\nRswWmnc5xPK6YzwGZjMEBqiWSwRpyiwHrSbfvDlPIjONJqwJgf/wH9x1bhEkCYCEc18WnIMsg200\nYVpN2LjpOlwkvjStlXGvB7TbDAjNMhiVqh/HpUOnoKqZGqr6qte9qslyYikgsNkk0NJpe3TkVQE7\nO151MJvx+QpHlAR6OKSITLYEVaSVbt/vE/AZxwu+fu2nWgFyQeCr0QKgDdewZjS6GPrYfenpAAAg\nAElEQVQWRR6E1iX1EnYpoV/2CYDv/+QJP7d84Kq4SjkhlYSA2n0Z1sWGNBokgiQ9V5cLef8VSlhX\njiis7/TUEw4C7CJnBCQVmrlY+OOo6rkq692uB9JK4o8i3rqfPPHEgm7NjQaPv1QOe3tekKhuApLH\n61wGXBMWB74FmCXRBy7/Cq4HEU4mnhxT9V1gW60Z9bn0HgLtAutSqQwGHsire4M6d0hNsV7zs0pB\nMRh4cC6SIU19BkSS8D13d7kPEmgC3nJRt4To8b09khBJ4pvY6BzXskSkSKfjj5GsD7Kh6DX160nq\nhW3j3pMG7/JD31RlcB3C4DqAcpt0/TrEwfvYFB6S2uCmhIGIgvpY/uf/eiPi4EPGNuLgUW1wcXxq\nlcFDOGZ3figm+fVrJtfP5341qmDBLKWMWTHL0gkWa/rPtRoJQlY59/d597cuCanbJmHw9Dnb3xVr\nmMWC1f44BPoxEBrYMIRJEoKWr78C5iv6rdcltxuH7KywO6Bkvd2m/aA/cOlPLl3qbETCQS0AlzMC\nqyjm9lZLrng7HQAG+Pq5WylFJD9mTWA08SbLThfY24VdLGF6PQStFmyWIagImGy+ZmDibAo7tRdJ\nhE8BUl3ylXXpVeb4CGa1AlkVwAQBwWFFXajtdIGqhAlD2CyH6XQZUjge8XgmiUvZdzaRInfVacO5\n6HZ4fAOL4O1boPkHmD//LYMMVaqqLImb1F3nr19RJZKmsGEElAXsbIag0eR+dbuUyIOcD54+QXVy\nimD/kOqCsxNaGjLXmvHP9tgZYzEH1iEJE606//0PwIuvgMQgaA9h1xFMowEEhkfkcxA7tzHGYwSu\nDSKsRaBMiNkUaLlV/XjE49lsAhYIzk5RvX5NbXvcIEkWBEDqVsWBAQZ9mOHO+TVkmw3YFW0PpljD\nhjHs/v7FlawsTv3H7glXjW2L+XpSu4gDWRLkv261+HW2WHjyQQBI4p8s8zLxkxMvdRd4qnvbFTin\nlopKxp9OveWgLPmeCsFrNj14kzdfkvi9PV+lHg4JcBuNi750Sbvnc75GFWa9TpJ9KRLkkBGRcnzs\nuzgoaO6+DClJVEmWwyvL+HNdZaJbhQCnGs6IWOj3fW6wAHMdTJ6L9zIfuifwr1wNtTdURwvd5vX+\nqnJ3u7yF9/ueEBLRpTwNtVTs9bwyYb3mEkHbabf5+LNnfr7rWQmbX7/6bI5bPldiKNtA5Em9dWSS\n+P0HPOklkmww4GtERgA8F9WleTbjPmvZI8uCiL56F5Oi8EoGkVlqY6rn6XNJ1SOFgeZQn7+uJNF1\nqs9eb0mpeTeG+yy1iOoTymzOsu3n4b0nDerjQ1QG70MY3MQ3fRl5sI04qI9Hm8Ivx3UJg885PoQ4\n+BLUBrcZfviu6/GhnPf3ZvT7qP70BwTrDJieseI+aAMHCX3pkynvdN0OsCRgsYsZzHAIdN2dtdEE\nTA5EHUrFASBPYTt94M//iiAV4F3362+5GlzMADRg4xim0QT292GLgrL0Vhsu1Q/YSc7vtkGjAZQB\nS217uwSzZYsqAxiCVKXrd1zFNE89QKoq13rRdRNotd0d3BAwT8fAYIfPCbUaqai+CEKgKmEVEa3S\nR5YBtqJ9obL0lwfm03RaUNXXADZNYdIVTBQxr0Arj/EYWMxhyzUQuNVfuwP75Cm972/fIDh6Q4n6\noSVhcHrGY7uYA+sm5/ToyB0XJ1lvhCRyTo6Aw30XbLhmrkVgSLYYg+q7P7LCHcXA/iGCRgyMRjCw\nJI5Sp3tNM6DZYGYEQIXA/iFMlhEMB5bbhWXiPwISRr0+CYX9Pc7Rv/0P4M1r4H//34DVCUy7DfT6\nsFqJNxOYwHxaYudDh4yvsntYdyySFh+fzZiKZy2wculqe4fA6THP8/19mEEfdmaAxZykklbFIt2M\nASZjKj467fMsD2Ok3Kmdz1rx3ycU94mHQuQkudZoNC4mzNeJhTqwUlCbAtYAftVIoj2d8mt0Pvdg\nU2SCZNUCGOOxf29Vl5UpIBKh7ulWQFsYEhgGgU/LV7tFAVF5uPV+g4H/6qlnKKg6enDgVRHy+icJ\ng/WOji6CJcDbGVTpvS88nzzsApyTic8t2Nvjc6RG0PEQsJ3N/Byo7aW1/LleJa9X6HX8ZUsQsFYl\nW7YIyeP1/sqtENBVR45Wi+eJ1BKq3kumr3Oy2+W8qoouy4rsClK8ANs7iaxWJJ0Ujgh4y0R9/vt9\n//m1vVbL8dSVD9XUZxNxoe3VgyjVFEh5B9qeftexSFOGG+rcFWGieYpjr7CQskLdThQxJEtHGHoC\nrW49UDbD7q6/VpRzsbvrSZ2Wy40WiVgnSbaNe00a3FaLxavk/bdBGGy+/l3EwU1sCg9lXEdlsDk+\nhDC4ibVDIPRdwPc2FQcPVW1QHzdRGTwSBndwlCWCpEPv/w/fsWJcVay2r9cMIYxiYL6APTqBabUY\nutZsAV+9YJW6tFQjlBkrnTsDoOzBtjpeyh+4LAEA9uDA9R0KYVttdijIMgRlCRs1CFg60vdRU2sD\nA2RrgvNuD3j+NYHmdAzAraJKCzx/Afz0IwmP5Zy5BU3nr89zIGq6wMYu78JVRWtGNebduN2mN7y3\nw7v7ZAx0OjD7TPw3usu7lDEDC+viw42xPiRxM/HstkeasjtByJWjydcEg2uXgp9lzJkYjYGzM5gB\n740mS4F8DWstbLfHrhivXzEocua6KYQR59MaVwJKSarEDd8OMeyz8g8DLFYMpSzWJA8qV05qJSRh\ndnddaQUkJM7T+hucw/WaRM/TZ7ANrYAMtx83qDBZzIGkoPKhAkmsyQjYP+Q5Zy1XxoslV+WDATBN\nnYJmBhM3YeIIdm8faLd9C02tuu6q8sCZdgNsoEvZc7pdAGvO3dpZOYZ7tGm0EgSnp6i++44kWhAC\nO7skgZy21U4nMGUJwDrSreeNxRoZCZ071znkDg8BIwGD+teCqqZJ8svkc0n06xVbtWebTHwY25s3\nzBKYu1qMFAtykihZXVNZDzMcjy+2t5Pne732wXT6enz6lIBeVW2RHKpWG+MrzpLPa/tp6u0NgLut\njDxPFwReKt/t8rUKnBPok7d+Njt3yNz5UbcmnJ6S4AlDPx+zmZfMv3jhVQKbnS+UcaBzR7J5hWSq\n8q5EfakIpC6RTeE8V7b0GRHW0n0oL70q2oOBbwMogByGwPPnfv4UxGkM33t319tfdEtdLDzZAFzs\nJKLH6i0mlamg/UhrrrRm0+do1KvtyvyQSkbbkEoG8BYfnWcAryM9Lww9cSESYDTyt/h6qOF87u0F\n6rwgO1C/z44YykuQQkbP0+dtu1xhDS0TdEwGA59pIDWJMkmiiCoQze147MNOt417TRpcNm7aYlGj\nrjK4bcKgvp1txIHGdW0KIg4egtrgKhB+0/aKm9aEq0gWHbvrjuuQBzfNOLiO2uCuz+e2cZu2hKvG\nfTw29344raC1Jcx0Bsj73XQrQFMxLb8qgXbClmthRPCxnAP/9ju2SSwzVj2TnjP6NYBBH0EYsQXc\n4YDAWlVx0fZ1ADKZwLYSAvzZ1Pf+Ukmr16fEfeEqrocHACzw80ugvXDazyV9+oeHvEOfHLseUgFB\naRgDkSsBxs4KodaEVcnPkrj9d60DsVwBlYUdjRgQB3g9YLMJW1kqC9zhrAMqAgd7+yDrPJo9OP/d\nQCWSNZC6lWKeMSgwMDymsxmzHqanMD/9wDaUWeaIlSYwtjymZUGQGTW8QmO5YucC61Kxhrs8F8Zj\n4Pgt0GrCrkgumGYDtshh4yaCVsspA8CchGLtS1txTFWEjNAqyRgDW1W0gCRNYHeHif4rV0qKQ+D1\nzyQyypKhiIEhATEYAp2+W7lnfM88d1kXTZiioC8/Sfj68QSm37ubuQdSktgK1WzGY3neuJvlMGsM\n8O2vgCf/zlDEdoMZH/OpI3cCmDwFdgYk3AqXdxHHACxMt3fea8xY461HUgzBn8cf7Xx+gKMWL3KB\nj6pzVGpnp7C8kxMvx5a8ul6xXq28H1ogRwC93lJOlUuBMkWKiDAYjfz+zWYeIKYp/6ZKdl1+LvCq\nXvM6DaVOUGeFTscTDwrvUytGydTrCfLrtQ9gVAp/HPM1nY4PjUtTgq0kuRhydxeHLhEF6ElhIIAP\n8FhMpyQVlIKvvFgFKAIXAaqOoWwdIoIUPyLVhggngWfN03rN7Um2r4BEAX9VzZUvoS4Ymm919sgy\nvq7XI4itR5+oG4OsGbJdiLyqqw1kken3+V4K8NRtX7YE5SRoX0S46XZ8dOTPM8Dvv4gVETXanuw6\njYYPIXRdZS8ElLbbnshQxkNZcp+VK/H0qb99qYuCjsXREUmLRsOrF9688RkNUmJIYSOCIo75Oql+\npPYBPMGh80zkzLZxb0mD67ZYfNfYZkt4H8LgKnCyDVBuIw5uEoz4rnGfiAONy6wmd8GWcNmxexd5\ncBlxcBObwpfcgvGycdNr8nF8pOG0fGa1hJ1MYN68YaU+XwNJTFlzowmMzghAdvZIJjQT/j2KWYHu\nPAXUfrHVIrgH6I+urC9zbLZ7rAOPqiLwDlgdtQDBZ2AI2DtudRCElJlPJjDNBHZnlxXjt2+cpz4B\nXv7ElpHzKRA2vFmytAAKIOwAOy6JKo7oC7duddVssaptAgLh4YDS+NDAPBv41XhgfB+mJCEIq6MB\nNzZJhFsbdqPlnTGwMJSSyxRaVVwFLeas+IcxdZbjFTA+JRgtCuD1W37+3V3O39ujc8sFqpLdMZKE\nQH08BXpt2gHWax6n4ZDnQlHAVCWwrmCbDZimm+/jt8wUaGpl40oqAugF0Yhdppzf0GVjNBoMskwS\nVsfnU55mzYYjdhLgj793CoNTnrerFVUoiWtonhecKwvn9W94g3ZZwZQFTBjAGuOyHzKeXzKWfs5R\nV5IgoIVndEZipFDD8MJ1wlh5dKeuFVUFvH0FPPkKZjaDbbI1pV3MYMoStkOViNnb5WddLmHXGUxq\nYGdTGBOc2w90HtvqkTDQ2ObNro96ezjA+6brvJQqob//vVcR6KvlX/+VoOCrr3gpq4op8KKqvCr+\ngFcO6DFjfMV3PL4IgNptL29vtwnCXrzwp5IA6GTC/VTltN6lodv1eQrHxwSkem8JUwQY623ypG4Q\nGBWoS1Pg+++B3/7WdQCtvUbPV2u+uzpEjGhOZCHRzwo4VIV/MvHqBFXv5aYCLvr66+0TFYxZB5t6\n/7rkvl6t1vGuk0iqlO/s+C4HUrwItI/HPC+UW6BbDeBl+ICX/0tdojmUZaZuq9C5LnAuJUIY+jyA\n3V2vcpHiQB2c62SIzqn6dTCb+fNFFgaRFSJQpF6QxcIYzofahMYxr71226t5FOO0XPrMEYWHDof+\nPJ5MeG08fUqlhuwVo5FvxahjIEtK3TIhS4PeT+eLulOIEHlwSoNt4Ox9VQYfShhcB5hcBSi3VaEv\nyzf4ELXBfRgfw5bwPiqDbeN9gPp/r/7PWycO3rU/94UE0rgtlcEjYXDHxmoF4yKDzWoBoxVKnrFa\nnwaUp7faBGsA5eDFmiAvhzP2ubt2VfqVXehWOFWn5h+vra4vW2GbWttAgMBnf58gzv1dAMq++Irg\nuCKpYbsdmFXKu/Cv2gAq4E9/ZLU1WAO2S1XEwq1mshWwNyQQtRbY6TEnwVifNmQrfrbpjJLtVpvq\nA1vx97iByq2MTLNBoFmzXwC4WFJ8n3EdNLJ5vM7LWjmDAbOMq5XphOGO7Q6QrICTFFjkPLYR8ylw\n5sqbOwPaMlotACWQuir+YknlweELoNV19gd4BPTNtwACrwctKwJwW1H23u3QIvHkwAVSNhhcOBh4\n1FK1Ybtsnm0CA5tlMEEAG8XcRhQBMEB/B5i7ZLb9fRI6b9/6smqrCez0gXYtVhsBsyjaHZiEZTKz\nXLlVdkSSotdzoZ+s6ltV3z8XMlHZSgqNNIXptEkanJxwngIAnR6Mynff/sqlpS1cKcryeHWpczWu\nvGd2dmjdqUqYPAOOC+aKtNowgx1gncM0Eo9glLoFPFoT3Njmzb5sOBHHhaqnLlcNBdmpsi5Al2UU\nUA2HfL3A+XLpAwmVKyCgITJBQWs6leZznyGgxHvJravKVyuHQz/tsiko9A2gdH3hTjHFu1QV3zN2\nXN18ThAkskCZCgK4Ar/1ZH09X6Cz3Qa++eZixoKqxwKrd5U40PF7+5aVZVW6y5LzqU4UwyGPj4IR\nValXBoZuAbJ46Pjq/JFMXedVvVpdln5udPzqvn7lGnc63ooiFYPyJ9RFYbnkPmqepX6o2zAAH5YY\nRb88HiIvZLEAvAJDqhaAn8c1KTqPDtI5LcWLzuupW5ooNLLbvfzrSZkcImp0TYhrVdghwNvK6akH\n8CJxmk2+X6/nSRDd9tXeVDkE47HPHVFgo8IOdXsfjZyAsufzqNttz1fPZl6lUFdxAD5KRnkk/f72\nc/Fekgb1cRXguEmV/jqEwU1AyTbyoA4mPyTfQOM+2hSuE4q3qTK4DYXBVXkGNyVcriIObjIekk3h\nNo/LtnEfjsODGjLnvXpJomB0SqtBuw30u7zb7+4CpgCCFIgDoHDBd1FE0FysAROx2txMvLYxzfxd\nMctYlUya7JjwLqBxruXN/XOd4sCWJUyawobBuYbTpum5QdRGMUy/y0ozwJXYk2eALYFVRtDb6gKD\nPaoR8rXrDJH6sMT5CihB8mPpSI/AAOMzYMet7E5PWMV2EeLm4BD24JDy8F7/ov3C4mZS93qw4VXb\nuOx4JU3YcQn7+jWCt8fA65ckEYKIsv6zU2A2Apa566SwB7w9JomymDPYMNrhZ57PvRVg0GP5cZ2S\nzHnyFEAJPHtBUBoaHuOiIKhtJL5FZ54Dh09hy5ewqxRBFKFqNGDaHWBvF6aqSApVFqbTIRgGYAIL\nLNdUugTGr5IWc6ftdKvD//gfgT/8gcehLaQU+HjsZhMwFnZvD9jdI+Gwdq0ewxAwgDEGdjKFCQNW\n9SvwPT92kOVl5JC1532+guUCVqZZrbKLglYNabStBbI1kYiNXZaBI+5Cp/FeLajMWCyBpAGkAGCp\nXIhiAIZvr3MKgC0qmDhCtVzCtNq0E8WNu4vSPuGoe7M1ND2XHR4pA8TRqWqq56cpwcXLl5xGhQcq\nEHA8Zsbl2ZlP0FdVeb3mc4ZDgoyTE+8RF9hQ0B3gA9wE2FstTxyoHaPC7tTubjDg85PEEwMCOwpr\n/OEHbrfT8R5rYyi71meuV9ZFHEiyLSIlCHgs8hz405+47a+/5ml5dOSP7+6uD3G8qxyWtfwsZUkn\nXlVRiSECR6Awijh/UoEAPgivriLQeSPFgeZI4F63RNlhlGcA8JwRMNUc6JyQ8gC4mEcwHPrtqkKu\nPAWpGFSNl8S/1/Pguz5UJR+P/ev1T+8hwN9oeIJF5In437o6QUQI4JUOakkoUqHT8QqGbpdkgK4j\nkSitFverfn7LcqEh1UO7zTlVnoPsQEnCY6xjIRJoueTzd3Y492odKiJOKhx9NygwU42bRJ6pKVGj\n4fM+dNt4l+rm3pEG22wJ76pKb46ruiVo3BZhsPn66xIHm+M6aoOrxl0mDjSuUhm8D2HwLpXBTQIQ\nrzu2EQcfS21wn8dtqgzu4vn8IIfASZYB0ymCzIXDNZqsvi+XTKZfl+xCcPAtsNcDMlceOzt1ifrH\nlPtHTvdnDOyLryljVhkgDF22QdOvFLat7DZBUyJbQsZwwcr6htaz6cVVkNLFyhLo9lDlOYKjt7yj\nBoadFRoRk4mylBXb9Zogt9ehv32dEwCvV0DuVtN5CUQlK9WtDvDtr0ks1Ms9bRdhHAa+WXNtny61\nX1xnXJCjg3aHLOX2Lkuprx8vA9jxBMF8BrO7x/d+9aNbuY7o61fEee50mWFAIGgCV94qgNnYVedr\nKxJY4OVr4HngTdaHTznPqzlJAlW4R2cMQSzWJFiMm+eDp8CTJ6gAIAxh12u3QrYkR/Icpv4ZBWDT\njIA1dx78MAL29hmuuFwAR8dcBcYhVRV7+/yMP78Enu2isjFMM4HpdGAnI9iTM5hGCAQRbGBg+gO+\nz2TCzwacK1su6KtvG5lcRg4BwHSCYL0mWZblVBcIQQgl2oLzp/SvOKbyY7Wg0iJLgHTB67TRIFEw\n3CFpkFZAXPIaWS1JKK1dqTCI/Mq03aHFpHKqi/q19wWP8yiR8OLj204VPV8t2vSYAEFdJj2b+Z9V\n2RWIefqUXz+zGU/3xcIDGYFO/S4wo+3oPdX6UCqDLPPJ950OwbksBHqOqqxJwn3o9bhNkQJqOSc1\nRRxfJCmSxIMiydMlvVc1e7Xyr1fCv063n34ikNrbI/BSd4j12qsd7lowoqr8M7dMrAfmqUuCugGM\nRl7WDvhLWnMQRRcr47KDSHWh/AfJ6EVGqfKvzhZSw4iD7nT4dRfHPlqm3SZYDUOCa3WwEOCW4kC3\no9XKh1rqHBFArx+LettOwKtzFgsej37/YgcHtfvc3+e5LqJEqhqdJ/VbrLp/jMe+W0Gnw22r44A+\nl4gLhSzqZx2DsvSqmsXCExn1fA11/gB8oOV67bs/yMqha0RWBr2H3keqHGt5fSk89DzuZ8hzX9el\nvifC0HcTAR4QafAuW0J9fKgt4WMQBvXtXIc4uExtcBVxoHFdm8JdIA6uyqbYDD+86fiUhIHGbRIH\nD0Ft8LHDD+/yZ39QQ+AkywiepZULQ955X79yKwzL6u1syhaL7QjWNmD6Pd4F0xVVBoslUEb0hjdi\nmKdP+bfFgr50WxD4mgAoLexwuL38dllF3a0ebZpSpu5W2tYEtCTUhzGwxq0g2y1gbxc2NAx9a7ne\nVL0uCRLJ0RdzPrcoSByEERA0gfUEMBVB9HpNcqS/AyxTbmOZsjpdrAHrdJlaEdf7gN2ELABqaKRm\nRM1zYu7pjCuoLcQBmk3YsnRtEkuqCLTqzlJmFBjjS0dRAHRaLEvWQ/WqEjhxIZOJC8JsNviZ5wuC\nTGupSCkdAhpNgMUrkkowrOQ3E7Y8jEL27Op0Yc+DNd2xCUNPsFgLs7jkHul00zaKYRoNVDAIYrd6\nzNfc/9mE+z6dOZTxPZAVfN9gjaBLC4r99z+QdKhKIOkDh4fsIuGO/bndBfCrPWiBa28XMG+SQwCv\nOwuXURDysTA4R1TnwYXr1GliI567JnDhkhkQJjwuvS7nI2kBTw5JDlr4cywKgcCZ3DttYGGY6wHA\nKulMXU4sHgmD2rjqVNj0sev5qhgrSkPedlXc223fBeHNGx94qC6bQeDzDmYzbnMw8OAd8L5xATfl\nZSovQQoFgU0B7+mUVfCnT714RVXcr7/m/oXuMq5/BoHDeuihhmTbdVm8Pq8sD/JtK9hOHKE+e6/n\nZd6qIItcEABLEn6l3YX4EQ352CcTAtTXr7mvRUGlRJ77z5umXnUgPlfKDwFCnS/yyCvxX8RQXRrf\n6xFkS+xX7yagirXcd0+e+PNVcw94ZclweDHPYLn07R5FZEmaL9WNVBMKIay3/KxL9GW70XuKCMlz\n7v987q0ArZYPdxR4L0svxxfBonNeigpxrPXQwO+/9wqLJPEZBVnmFTLTqbcRJAkVLbKQSMkjVYUI\nAYDb0GfTe4js0jUlK063y/eTCmI08kSCiDcday3VRDyqO4U6RgCecNs27hVpUB8f0mLxsvGpCIP6\n9q4iDjTex6ZQVxuIONgcd6lKfR0S6Ca2hLrK4DYIg5ses/chDj7VPn2OcZu2hPvymR/kEDgJDLCY\nwaS56zzgwgGzFajJB0G1qpfHR0A7hNl7wbuoAavQ7R6DAgu3AnnxFWxRwpQFMFsASRNmMHSEQi11\naNt+1UGTWt9ZC1Osz/vRG4Bp73VVgkb9+e02CYS4yc+3WBI8AW51PPO9zd6+dauWpmsJ2AE6CUGW\ntJNhSJKkzJymNAU6PaoQtNq1lv73eupTXWVwnWyC2mc5f0qawigtCrSu2zyjDWKbVWG1QjCZkBSZ\nz72BdHTGCvygz4pyp0eP+3hyns2AyOkxgxCIp+44lL6cp3lsdwgyX3wN7B14jXOWMhehcKVTEzAf\nYTKmbWNQAbuDXx6D2nG6kM9QPyzNhHYUAOj1UR0fM7xwNoM9eks//2TMLgi9PkmPdMUMhpMA2F8C\nB4cwUcS/S1+bZUCrDbtcEnSn1JaaZpNnnWE+xa0HWW6SQ3psvXZZELX3ShLY5YqPRxFtPnECk638\n+SVd7mQBdGLOnVbkScLr9uCJP2fLwmvUY1eO3BkAtoJdLNk9pH4u32X992cY5yTnJUPy6c2vKQGY\neojaeEyCQD7y01MvKBFwFhgKAuB3v/NdC+TdThJ+PUsRUBQEU+pUYK0HQ/2+r9YuFj5MT1kFvZ6v\nymp7OzvcV3mtBUKVuWCMT5sHPFA8PfWkgoL5ZH1QlVwSc51quvWoYi6XznjM5//4o1cVCPCqBeXg\nkq+WzzEEOustNIvCB1i+fs3PoE4EUkqsVr6t4HDozxVZWgQ6RTbpMX0t138WqJbcXcqTwYDzORiQ\nJBoOfds/EVdR5NUcSeLJGllLnLjwfF+bTU8ILRb8jCJxBNS1P3Hswa4xvKXKcqBIFr2HCIB6e8m6\nDF8dKaz1QFv7sV7781OKiPGY+6dKv4gE3WKPjvgcfS32evwcziV2TjJIlfHDD757gzIi9POTJ/47\n4PjYXwP63hgM/LZ0ne3teeWChJlqzSgBWl3dVA9XlSrho3RPqKoKf/u3f4vf/e53aDQa+Lu/+zt8\n++23N93cO8f7qAyuGu+yJXwKwqC+3W2f67ZsCpepDe6CTWHzc18n/PBTEwa3ESR53YyDL0FtUB+P\ntoTbGZ/se7gOTpYrmNkcqBwNnq5oRagqkgCLJYMCg9C/ZjYD7DHBYxATbGROzlwVQEa9pZlPCRql\nNWx36HEHfPmgXom/DDQBBH2jMZ8WhE554O6YDlzayMnUtXBvNIAq92Wbdc4k/N092KgBE0cwRcnK\nahQAB/v8zKcj5jHYipXxjiuFBAFl7+obFjVqzZLB6nwUnmuCzes3qKIQZn+f7Y2mQO0AACAASURB\nVPoMYJKE++ZWOtfONzAu2FCmzVpPMWtxscS3uUIej2FmU1aLxxPOx/Ex8KfvgFc/kTDJUgLhQRdI\n2sDUrZKSzK2gEpI9kwkAy3lOXYpZEAI2ZRW8KlnhjmMqDyYTHpvB0Bk9LV+Xr4GdIWzb+eG1+tny\n2S/kM2jVBXjUpAPR67Eq3+3CvPiKKoiTY1oizlw+QwjuZyPx+6iyq3E5ACuuIE2zCRtGwM4uK/lB\ncJHEUg+02xrW/nJz1vI9A3YnMLWqrUmasJ0OKlfeM3kOvPqZSoK4wevINHmeAsyEaMS+dLnkdWkL\nlw+RNIHZnJaiuMF/UpsEEd/fVDfP5LhH432/iwXM6m0UNaQMUMxE/dCpgq6F//ExgYe1PDUl+Vbn\nhLrMWfylWg4qMK4sfYDawYEHTQpSi1xDDX2VqXo/GvlgQXVI0PSnqbc5ANyuWsIp/E0CNdkjFOCo\nxyU3r4cX1rs4AJ4c0HsLEOuSV5eEOPbp9KqqxjFvTYOB951r/z5nG0ZrCTzHY28Jmc+57wpClPVC\nYFkeeIE+5TtIHm+MD7yUmqPZ5N9WKz/n+rqcTHCeZSCCRwRMnUSQp17Bm1Jw6D0V2CmCSWSYQPx0\nyv149syfr7KgKFBRWQfy8B8fc1+lOpA6ZNPqoH0X4BYhokr8zo4nUbSfEoktlz6gEfD7U6/KS80h\nkK65kMUmTYHvviOQV2aHPofO5X7/YtaEOjCoTaJsHFr6rFY8zpv1hOXyYsDnqrZcNsaTeHpdnZCs\nuzN7vY9kT/hv/+2/Ic9z/OM//iP++Z//GX//93+Pf/iHf7jp5q4c2wBmfVynY8J1uyXUx8cGJJug\n8ro2heuMu2pTuC5hcFmLxZuO27Ik3ORYXVdV8r75BpepDe4acfCxww/v0mf9HOOTfQ8LnFjr05i0\n6hBoryqC/LIAor4LjovZcvDggIF5cYNBa+0OMHhG8DmbEbR89x091J0eUM2cxLoCdvdgd4ZAswlj\n7UV592WgKc1g1rmvsoZBLYSOYNMYwLqVuK3dRc0695V5PWYMQ9yaCcxXX3Pl8OOfnGd/yqryesWA\nx1c/05e/dilOZQX85rcMP8zX/DxxDMR9As5WmwB1vQbKNYJuG1guYMA7uc3XMABMnsE6jek5CAW2\n392FRrKUz98EzsbAoKZq0EFcrWDmc1bcW44A+v2/Aj/9zFVJaUkGLJZcvYYADp5TXdDtAe0+/24t\nsJjSWlBW7JjRSXgOlG51GRkqLqKQYP31T8Crl277CxINgz7OO0/s7MD0uP13SvyVzzCZcE4taGlo\nNH3ZUZ0NxmOCe2k59/ZdaKNDSWlKYsRaBmGWx0BnwNDPdhdYlJRvLBaowgjY3YPZ3zsP1zRwan6V\nfW5zmI2uF3qMP/B8LzwiPS9q69w/OOBnX6/dXw2vycQAS2dydgGPWCy5iu33qbSoKlRJC9g/dCGi\nrkNFyc9p2x2v6ripzeYejff9LhbIUGK5uidI1CNgAPj8AlVkJRefTinBFsGwWvHrNI595VmyZX0F\nqOrcaHC7y6WvRkrGLKl0VXH79cDDvT1W/1+98oFtUhcIDDqxEtKU76O2ifKF5zlBqWwQqrBKOp5Q\nEITp1FdEF4uLQLRu1RCPqK4NdWAqa4MqsnWwJSAttYJyH5IEODz07QI/9VDlWp0JMidQE5BXWKE6\nDdSD7aQM0OcTIBaRc96UyB1XVdkFlpVrIJtDGHriQr93OrQhqII/n3O+vv3WZ2EowwDwjwlk63yW\nHUHElsgo5STUO4MEwcWsDiksdF5rm1IaiLdX3I2Oh4iNOpculYPsICJXRAaIENN1oGOt61c2n9mM\n297f59+Pj/0S6Ve/4ntPJlSJCMBLHSIioqpIoOzv+0wIzYuOh27PIiD02USaxTGvuctUTLo29Vn0\neVSLeRdZdmPS4J/+6Z/wN3/zNwCAv/7rv8a//Mu/3HRTV46rCIP3bbF42bjKlvCpAMlVxMG2cZuh\niMDnA5vbPudt2hIuIwy2hV9+rHFd4uCqcRnpc5dtCtsIg9tusfglj/f+HlYU9WXjKvn7eeW6ginX\nrD5Ku7dasdKar53JzkX1np6wWp04Q2zuVi2jEUH0ZEKrQxAAJmRVNzBAuKx54AXySRb8Qt69CZpq\nygMrH7l7HivrjfPXXFg56uWVZfU1z6kayNesWC+XlJoHYIZBlNBaYCw/TwASAGullLkV/bNn7AIx\ncVrMlTNJVm5FKxXFuHLZCCWwnHjdo1ZdUejjkbXP7wrVc4SIPTpGUJUOOMcEzmkGu1o5QGs8GklT\nmOmYc/rqFfDqe4YWHh8xHFAli/mCvvcsY9jhMgWGu5zzp4c8P7oDoBoDlaHNQdXpZ885D9nar0gn\nExIKvS5VItkaKFx5tNfnCtEZRK0JeE5dlsmwMUwroWXEGBhjgNkU9ihFsM5hF3OYouT5HDdhO10Y\nW3EebeVNwNYy6yBfUVESxsB+xqp7HHH1vLsHNJoIul2gXNOm4IzgIjh+QXjdxthUVeixmF0M0Epg\nU+PDQMuSpJoxsDNHJgxqNovShZeqdJWtXE4H9bO21SYxUFnfAcWldp0/njQ5v3Hj85ZrP/F43+9i\nHRpVVQW6BQQ22zDGMblXASR1MtC2JHdWFVieZVWEFZR2eurzR/UVM5vxufJl7+/zOT/+yK83+c7b\nbd/KTjkA4hwll1aFWzLqnR3fshHwLiTxlQKygCc0FOwogLS3520D1pLIENjV9tTmTr8LpAos66tG\nYFHhjvKNt1ru1lQLSAQ+PXGg+VXIoeT3r19z7pSGnySct/ncV/H19SLiRnOjFH4NcZc6NvWWkxIZ\nSQGjyryeo9eq7aXA6c6O76SgrgdVReWGQjplkVivPZGk81znrnhK/P/svdlyHEt6NOiRW1XWjo3b\nWdWtPtL/67+SruYB9A56Hl3owWSm62mz+W1mNNLpPn0WHhJr7VW5xlx4eEWiCIAFECDI0wgzGkmg\nKiszIzMr3D93/3BZECc7jqwFIsm037p+VdfQHC+XHvAr7FEdPJo+fompZMFptXiMUvZEkb9PjOHf\n6pygyv5q5UNB1fJT1/LZWUPcNvOkiIghZUeoo4IsPspuPnSZvApFFPG3v++JhXab+9Tp+HOlZwfg\nAxabFhTAP/53EcLdmTSYz+fo9TwwC8MQZVki2m6o+UDjoW0JHxtAX0cc3FVtIOLgJrXBYxAH77OZ\nfEguhcZ1hMFdiIKrWlY+5LhLN4Xt8ampDZrjKfzwfsdtn8N7aYDo4Irmw02TI1w1WYk4WokMHEEw\ni4EqYHL6bAYMU+DFPr95Xr5kytZiAXQTIEz5rRbHOEhLoB0CizHQMrQlaJVgnIZVZaLQrfjiAOhG\n9Fcf9HwZqjkGiafg6xpI3P7KmNf8Xb/Rh2l7O9YCnQB4vSLTELQBtAmeYwskAIYdoNcCxg7IhmDF\nPEkBW5D0iCIciOp/ceRWuEsfu5y7xK/I8hyphDAa8Vt74b7Ru9FlE6/2X6vZ7f9fNdYx0PrCr5RV\nZqhr4MtGGKK1XHmczoFiAWQLYDVhZ4i9HlAMfd+2quRxG66yDjptkiex4bwWK1o0JqeAqYFnBzwW\nxX6rPNSKiAbSCJhfAP0WMFkDcZutGs/Pea2kEVC1gKAERh2G8bVaJCZuIsCmtZvDxjUe18B6AqQh\nr+G8BPKadolaiWtroFwDKIFOwr9n1NUe1CWAGmiFPE/dEa/pXgLsd0kiLBYAMuZhNK9XaVHvveLe\n37p/AbT2+XeWAeheNvw2rxf9fDJhKtd4zO4YnQ4OvnruEaCuz9/9zpekVKZttYAi9Z9vLa+bxyrT\nPtK47bN4NOqgLMNNsr2qxXoc6PGlx68k4qqAn535dHz5pJU7sFjw1jo85C37448eFHe7fezv+3Z9\nqtAKrK1WbE+oqvKXX5KsGAx4mZQl90EV5jgmyNnb4+dVFfDqFf//8qUnHAD+f3+f+673SXkgAKtj\nTlOf1zqZvCvHFsFQVd5jHoY+g4Gqgv6GHGlW6IdD7tfBAT9Plo6qIjh/+ZK3QhgCv//9x+G+dCsq\nh0FV+T//2d+6ynJQRVtkC8Fwf1ONF2GiIMGmxF6V9+151/Um8B5FfCSkqQ8KVA6BQP+LFwy4VAvN\n+dx3UdD21BFDBA3ggwNlR9H1GoabpjOb0E113pCawRjg8JAYRkoYkQK6lxRu2On47gYiz776itfg\nfO7DFqV00b4rJ0QKlP19T0BItaEcgmY3h+HQi9OUhSAnW7vt7T1SAyiTRGGJvZ4/XwL4zBnp4+CA\n21T2gNQCTiyGJPGKpdHIf9WLPChLv+3R6N2vjCjy27pp3Bnh93o9LBrUVV3X904YPIQtoTmusyU8\nFhi5zv9+HXGwSycFYHebAvCwgPOutoTbqAzukzC473EfNoVd1QaPTRw8dPjhE2HAcdvn8Pint7CL\n8nJfKQUJNsGMnVNmvO2jXy5hfj7xr88yoBsCAWCjFDibw9gImOdA2AFQA2czHPQSnJ1esOo8ywHr\nEq/SDrDXJwA8P2eVvcyBwZDExaoAVjVsEcL2M6AIgVmxfVis5quaOp2xwtw2/nd5DlQ17Mo6IGcu\nb0fdF2wN+8NrBFnDQHg25flazwkE50ugDoGLBVAXTI6vC1bIyxoH1uKssMB0CfzwmmGRFsCL58Dq\nrdPcBuzIEEXA0TOushc5MMx9+SMDJd7GwEQh5e25V0bYqgayG2TfruRiwgBYU+tq1mvY83OYJII9\nKL1Zer2mIuH1z3zv2Slw6nSUb46pkGi1mXO5cCGXxuAgjnEWuDLI2QUzEArLjgPHx7QtWLeiCdpA\npw38+gvwxdfMNqhCkk///QNzA9Iu8Ofvgf1DhuhZA8QdABHw5hz4cg0bzoB2weO/DoTXNcy80ZfL\naUeNtcDbC78qM4b7XFdUTxzsA1//Hjg5BeYFMJ9QIZOkOECFs3NnwD2bOGtCBvz8lnP341tHrg2B\nUQ6UIWCWzGBIEmZo3DRfHzqs8chqnW2Zvw0wW/Ja2H7bYgkDC5OBbVGrEAcAzo7HtBElMbAoYDsG\nWJRUWLhzascTmJFKwPr8APZ0DuTBrY/16OjDMoQec9z2WfzDD8tLlWDd9gKDkqdr8S8vucBUs82i\n2qeduI6har03Hnt5N4FOH99/P8PJCX8v4C1Q+MsvPrSuLH3QmjE+7b0ofCWz2e5PsnZ9LcgXr2q1\ngF9Zcr/ynB1sFfgn4KeKrYL8tlsGCuCqsqzPFaATwDamjzyfbSrcwGXwqs4DqnIPhx5Aal/mc+73\n0dFDXTUcOgcCcVIPGMM5UWs/kUtZ5vMkaE3pw9rZJgCy0/FWBWO8o1DEk4gEpfJXlQeXAqOm8ThR\n7kAce5JHX4//9V8+g0JkRxjyPVKxPHvmlQaS/Wv/1AFAGRfKPRDxofwNdUEYDvs4PeX6WJYAVd1F\nvKguoM4TUuHIcvPzz9zfgwN/H6kVpKwPTfHV2Rk//+zMhyuqO7LyHMQXiljTeROxIDJosfDqDm0T\n8GSF5lcKi9//vo8gmOHNm0uCwM35Pj7mfsjuoLmW3UfzGAT8Olcoos6fCDjNlTHAl1/2r+Xj78yf\n/eM//iP+/d//HQDwxz/+Ed99991dN3X19newJdxlCDy+r1vCpzA+dL9uIhR0Dq8iYh7Ch74LAdQc\nd7UlaDwkYfAh5+cqsHvbeb7q+v9Y87jLeLIlfLxx6+ewCdgdoFnSkQZW/69rSpjnMxg4aXUYwEwn\nwK+/wHRSSpZV3qorypirCmYycQFpKYDaay3jmBL2LGcZ59mLhsbQ6VyPjlg5HzrCAJZV52fPYbV6\nvW6028BgANsfEMA2veMulclK47q9HUeaGKduCAZDAqUgAJLIe/QteMyHz5gg/+IZMDqkvDvtEQQD\nTsfrQg4vzqioMCA4PTvlynsyc+0WK+YizFw3hvmc3QnyzJENdtMqsNm6b2OmvAmUNfMe2m0XVBfD\nDAZA2mFWQ1EAFxcwb35F8MvP3JfpBHj7huGGtnZWCreCXs697lkru+Wcrz895fmKEwABSYY8802w\nF3N2mlBo5osXwLPnwOkZtx+EtDjsHfBz85JdFV6+Ar782isLXFnSGFxt2gS8BaV5LvTvqr6s3QzA\nucjWwJvXwJ9/4DmoSl7nr15x1RuGwN4IONxjh4BBn++5OOM1vFrQJlAVQF7Azrn6tRdjWkHKwq+k\nm/fadcdw2yFD6mQC/PILgje/UiUznW5+/c6wFibPvClX97Q0uSJyjp7DSD+vUdcwrcY1qc93ROO9\nHddnMm77LJ5ds4wVcJb3XFYEiT5U6W2mz4s0UH6sfO4K/hOQU26BtpPn3M7xMQmH16/5b1XvBcJ/\n+ok/n0x8VV+932VbSBISGs+f8//yvgv8BQG3/+YNAfBkwvcMBt6NJXn23h6ru/KgN7ercyRQJRfb\nYOA/ryk9V8CblAzTqW8Io7Z16hwhF9R06qXvArEPNQTWlM2gzgF//jPBbbMa3AzGlCRdDiVlOFjr\nu0foltQ8Ab5NouwaukZEooh8GQ752JNShIDd+/vFx4ahn8Mo4uvVJUMWBHVOkO1FwYCyFRwe8o+L\nTNkQOM2AQJFFArpytYlUkFqkacto7o8ea5MJ8P33Pg9EVgZlWmj75+cE9CIMpKrRNaV9n0x8AKHI\ngWY+gxQ4IiwAXtuAV5aoK4beq3u22a1CAY/6+h0OvY1G3UMAH2Qq4q4ZIKl2i3o06xnQzLnQc+K6\ncWdpwD//8z/jP/7jP/Av//IvsNbi3/7t3+66qXfGroTBh4Qfajy2LWF73NamcFe1QXM8ZKX6KgB5\nUy7FbTMpmkMqg5vmXGTRbYin+7Yo7NJR4T5sCsDjh1xqPNkSHmbc+jms9HituJrAslmtPzndLPyt\nA1fGGJjVyvfOyjJfElosWMVtOUD+/IhtF+uK1fn9LvD//UC592wM5Ckl7QFD8GzagRklrGLWtlFK\n6gLDAUwU470QRFXVNPU+7qZK4irSoZGBoG3YVhsmTgh4YVgtN3Df+IbgtZNSIVBVVEYs5y4rYOGC\nF12pJlu7to0lgWUU8r1BwGNPWr6seHxMFcOgByRt2MrCBAZ1XXnFQX2LJPpm3oPImyiCS+Vzc74G\n/us/2clguXSr8TXLW9JAhhG7QFxcAOcXDLcMHDkQRbxuNp8Z8BjnM5faZQm+12tgtE/7RqsFvPqS\nYH0yBs5OgF7HXS8lAxWTCJjNgVcvGaQJhx6MYQ7DVfkW29dC0+tvGA5ojIHtdmHGblW0zlzZs/Ca\n6ZddZlMYt9rNM5IbSQhczJm3ESW8tuuK+xa4VXTlylRpClNksAuLIAxgnTXDAAyxdMlc770+bzvG\nYwTKWoCrCi0XqK2F1efretisWCsSGiptArz/ul3OZa8LG4SwUQjUlgGaFrx2Gdn5zrhxbn6j4y5r\nYi3em/kERcF/CyAryiRJvI9cAKff90nx8verQUu7zUdKWRJ8yq9+cMAe8wIgCkST1FvVd4ENhdTJ\nKw34wETZAQ4O+LUgKbv4Tf2tLAEdm4LpmvkLqioDXq0gMKOvAwHJxcLFxaw90BOYlU8e8EoLAV8B\n62YlP0nIdy4WvpKuzxJXKNLmvoeIDLnHzs953EnCnx8fE+BKabJa8XjVVUFgNQg8aNZo7rOAtHIG\nJIsXOFRlWv8WIBb5NJt5338c+3DG42Mf+idALwVBk7QQMBaxtJ2RIJci4JUI6uygaBkRXNaSfFLu\ngUgm5VYol0ChkQcHXvFyceFB9/4+t3nqeHydn709n/exXHqSTvkGmgfZAHSsi4UnCXRdt9t8zbNn\n3FdlKihjQl+x+lx9BWgeRRxo2dbr8XjL0s+l5liKmdHIEz/6XdMlJ2IjDP3yR/aGJv973bgzaRAE\nAf71X//1rm+/duxaHf0Q7/unZkvYHru26dPYNRTxNvkGwIcDzrsSBh9iS9i1Q8ZdyIOHHL+FUMT7\nVjY82RLeP279HG52D3C0vLWAcR0HEDJdyKAmiIOFaaesQG++0eDKQgAmUwKu47f81tOKUYbM2jqj\nXosqgqriBqKAcuaCbfhMnlPG/dU3/MLKi01ZxUYxOx3cBoS4ssImeO4GCf+lX0nL2+8zD8DWJEJm\nU2A1JoC0FRUTJgD2h0zUP/6V4BgWGJ8CJmKLvrzk38slZf69HoFYGBKIW8P/r5w3vON6l3U7MP0+\nbNLyJlzg6uNp5k40f94EzjrO3OkeUQPZCXBxDnN8zGNcrQjgT46pcljmznaRcR7rknaS0ZCBgAd7\nDM2DJYAUYvjqS+BiApgQqHJvMs0yoNOCjROY0CGGstpcA4hikgqpU1a0YnYpQECips9SiRXgbbVv\nvibUQUHkkQL9nj93aGPqgilD5lUY61qKLpzE361SJxckB9ox90ntBcuCYY9lxfdVpTfpliRhjF1w\nPwc5j0v7s86oUHEkyHu7Ydw0zxq1yxiJo8uvldH54MC1Os3YVSLPAAvUZek7RyTuelEMf5qSvOn3\ngeHBu/eUMZdDGLWft71ffwPjts9iiUy8nN5XTAH+u9PxlVLlFQgUq8IqFUEzOFG8sH4vcBDHBD+a\n3mY4oUB90+ssRUBZMttAU6uqsiwMgwEf/4APQ4xjH2MC+NR6qSJEJqjyrcq+AJvAkgCm5OCS2Ut0\npIA8WRD0M4mzdHwCbAK/SeJb6qmiK5XCTz95O4Xk9Q0hzQcP3Z4ChwLFJyc+HE+xOwK7OpZNtEzl\nH/H6uY7VGA+aBf4lfVeonzISdC1KPKZzIyXAaOTVFiKjBP51rUqyL1FcU8mSpj7ks+nrHw65jSzz\n14w6PTSVNXnuySnZWpZLT/BIaSM7gKwy+trUo00qEh27rkPleiiPQ3OhrAG1shSxomtQZI3sRVLb\nKK9hueQjV6oZZQ4ozDLPeV6kEtB2pNDRvGlJAviAT7WZ3I6d0jNFX8Xav+Y1KwJSOSI6P7ty1h8n\ntXDHsSvI3B63URl8DrYE4DJxcF+hiFeNXYgD7c+uY5dq83VzeR/tFYFbtNS8Y0X/QwmV35ra4KZj\nuU+VwdO4n7GpBKrUMpsRvFpLQDw+B0pn6FssCa4WS9i6dF0EBHQTAkpjKL1/8yu/ffb2N6sYO5sB\n84S6VLV2a8VsY/fiJexwBAyGMHHEdPcocgn21qexJ3cAITeRBY3XbKrxGm0CI5vnMDaAMTXVB8OR\nB7R1xXwGWK4Kel2es7NTfqtaQwtCq8WNlzXbFZrAR44vlp6UiIzLcHANs2u7WcGaVsI8gyZQ03Cr\nLAPLLgjbQZECzg6NmKqirH6dAT//BJyfkSTYO2CLwbfHDMLL2EKPRtAu97sVA+3MmxpruJVsxW4Y\n7ZTHEEQ85lGPyon5wtsUWs9h/uZLzu9syu4RUQx0Xblob5/nJQz9ar0VA7WlGmW1YoeLOOE+NVdU\nV40medQfwMosenQErJYwVcw5Xa2YUWAMz/3FGfdt5GK2I0cGFBXw8jkJjPWK8xeGzrRreU8UFZUb\nxn2XWrAk97X7TsrZDvRSJwWVVq8D28rcuEmZUNcIDDwy02aSFoI4Rp0ksPMc5s1bmHwNqWaCOOIc\nrRxync2BfA5MWAKzR0cbsvGq83uJmLlP1cRvfLx44VPv5SUXKFGgmWT2klYLTKv6r0tlNPL5puOx\nFy8pEDBJvFqgWVkUMJMSQDJ+ybolUFJ1VfL0svQSeQEZic7UCaLT8WIWOdEAz8kK+O/vuzibpSca\nmlVwVXQXC58i/8UXBNjTKQGYUuulTBD5oarqauWBYlFclvOLDNBrm9Xe//xPPoZ++YVc4/PnVzvc\nbjMEjAE/X7JNfP89/79YeJB6cUFXl3IARI4AHjCvVjx/AqaqQjeJhYMDP5/KdVC3AWURNP9oLgTw\n1X0gSbwoazTy15fIGHUS0Dab+yd1jLY1GHhCYbn0ChCdX+UJDIf+0djv+/wAnYO65s/j+HKQZFN+\nL2IsDLkfUk8oS0GkRhDwq0gKldmM16fsBcoU0LUJ8HVSw8hOJHCuXATZO2azy9YNBSdmGT9X+yKV\nh0ar5RUzUo4Al5cEG8dd4Amnq/hcLRNkl7hNHOEnQxrchjDYRWXwudkSdh3bxIHGh9gU3kccALuT\nB7etNl9nS/gQlcFVBNFNYxdw/hBdFHZptXkfoYjAp9dS833jSWXwgGO7EuiS6G1ZwiyX9HWfn7O1\n3NkpAV1dAWEMMxwSHM0n9IbnuUvSDyhJXy4oJ6/camg+gYlbQAzgzH3ztlqulSFBtXnxAtZVQw0A\n677BTJLAJonLSNii1O+rirktYwe8TWM4hI0dYF8uYUpXAopdO7nZjMDRtfRDUQFBzG/+03MCY1T8\neWiAoxEQu8Sifo8V6skUGAU8X7/+CtSv6aFfrYDVAubrb1EvV4AFgaasGynT6o3r62Qcf4GiIIjT\nqligOklg1ysYlYuMpQUA4JwVObDKaa9ot6mOKM/ZSrBwnvc48alZANUI3dSvcP7wHXML0g7QXROI\n9nsEnBVcld4Cqxz28AiwFUyvD3zzLZCvaUUJQ6fGiFC/eI7gYB91XsD0B7wWjGGmxm0q9M3rRSRC\ntwsTx8D4ggTYesXzsM5oz8jWrutHxJ8fPgP6KezxKczf/x1gAoYAlhnnN3ftR9crMBXU8v4JQqDd\nglnOSJ51u85egXeu4ab659JQUKmz0Fx73EGA+vwCga7TsqRCI05QRwmzIdZrZnekztQcSs0TArM5\nTO1W1y9eAHssWZl2SovSZML7NTCXyYFdVT1P49JQlVWKgfNzf9sCvJxUsVTwoCTo8t035eNnZ9ze\n6SnfLwLg7IyPlH7fqw4EZDRlkj83Wx3K+5wkvu2bXgPwEfTsGbcrkK98gDjeuIk2AFX8tOThAvdq\nGxcE3iKgSnOr5QkI7dt6TfB+cAD87//tQac858p2kIJAqgxdlquVV2Do2FVpFanQ6fjHXFURtC+X\nPM9ffeW7Otz2Ul+tOG+qoE8m5NJ//tnL5PW7+fyyukBJ+oMBz9di4cMg9FYx2wAAIABJREFUAZ/u\nLxJEoYMC/3Hs2/2VyqltdErQtSBiRp0RFNDXbvt5lJVAbQOBy7J5zUmaeqWEMT640hg/l/2+b5ok\n4N0czeNoqj1ENKgaL7AsUg3wpIHCOHUereW57vV8XgLAfZF6omkNqGtPzDVBvTE8T4eHXokhBY+O\nVyqJIPD2CrWz1H6LRHj+3FsspHAQ+dNqLIOuG82vD301NNu2NvlcEQ/XkQvXjUcnDW7rgd4mDG7j\ngf/UbQnb4yq1wfa4i9rgpnwD4GaZ+10l6B/LlnATYdA8ptuA8485bmtTuGp8TOLgYykMPtV79HMb\ntqrfrQQa5+M3SsgxlM4vFvTqRyEBEGpPxdfW+fVjVmFhXXBcSACa5cBf/kRQmbQp5Q4CYD4Fyg4r\n8ZUr+VxMYDrOrLdas599nlNOroyEXSqtdx3NammWcf/b3L4B3Dd2AjsabrSLpiyAPCGCq61PGIsj\nAF1g7qr27YSEQCtlRwALILAM/xtfsIqfpEB9SnIkih3wtMDpORcBv/tbgrssh8kYUFkHXP2YJL4M\nJssC9vgYGAwug7skgel0YLMcmM742tNTAv84IeGzWAAr108qcgTBX35wKxcAwz5zHH79lWC012dr\nvcqtvC/OgG9/x9VHWfBYFzMG6SUJbR1RSNXBdAJz+Nz1xhoCf/kLLS5lCdtOYf/2O+Dv/g61i/u2\nxng1THO8r0J/1XCrJdvp0qMfGN/n61dnM2k55LNaAKMDno+XL2H6h7DdPowxMLXl/WHXJNdUzho6\n5Um7xar95IKhgRVg9/dhA8NjVpS5K8FuFmpNVcl25kaTONs+7skEZrXwWuLEXXs2h4kT2OUS5uQt\nrzvjttfpAMMhTJryvJcFlUR7A2BReKQwmSBotWDT9uVsBnf/PJEFdxuSUQM+sE9gXoSCAI5AT/P3\nx8d8r8u+3PSRV7VXl8l47NvGpalXB0iiLm5RgEXy5ab0GvAVYrXH6/cJpuZz/v/5c69AaBIQAqWq\nvCqlHvC/lxVDFWFZN9ZrXxUVMPvxR24jTYE//MGn0CvEUcBfOQn6WbMKrMo04PdNQYoCtus1z53C\n5gQoJVa6qgPwdWO1ou1BCoKZi335859JSkynfvtN+8FkcjkHV6Bd8niRS6sV/9ZXkbpQaJ6bVg/A\n5yiIWFGFv9sFvvmGx6eAyTjm9SPw+uKFD+KcTn2WBkDOXNYPdTzo9/0fXUdSC2wTAs2x/UjRo0/E\nmcgqKWNUmZcVRwSB/h+GvmOHwiKlwtjUDwp/n+lnChLs9fh4lUUjjkmsiFB4/dpfK7p+0pTXZpK4\nr9jV5ewPqUeaqhfAqyv6/ctZ1c39fJ8rTAqlm/jcq8gFPZOuGo9KGuxKGNyHLaE5moDqcwIjHxqK\neJVN4bo2jPdVUb9uLq8jDHYZ290StgmD7XHVcdy2qn/VuA8Q/qE2hevaZ34M4uChujN8yrahz35c\n1aJuY1GYurT0NjCj3xk9F2McBZSdn58zVX98Tsl92nFWhTkwdZrKcAX8+gZYTIBVh10Deh0gbLGy\nvs59mj9q4OKcIPTrb2CjCKbdgul2KUMPHT0Puylv7Fxhvs1QNb6u2a6xeY6CADYvYFQmabdh45jV\n74sxpd7zORUXh0eUdpclVxJJTMApDWSWsSVhKyGYHu2TWJlMaNdotwhAHTljiwLBy5ew8xmMVvdZ\nzmryfEFyZzjw+5plCJZL2EEfCEKeqzyDrSqezySG6cocmtEyMZ+TLMgK72c/PPSJYMpBCJyaJA5J\ngvQHPGZrfOR716GL+BnwxZds+G4d0rARMwpePodZZUC7AFDxvHz7DfA33wBJC3a4t2mkvSGJ4pjg\n/opxbYX+piGUVBQkOIwBXrykYuDijPdB4frEjfZIgtU1LCwVEZFbra5XQLfnUZBSzcLAqzJyZ6jO\nljDTAHa5BM7PYIYjHluvxzm0lm0hm8RYkvjDctuWqMREEaztb7TtZj6D2dt387WmVWJaAb0uP+v7\n/4aZz50CwvhtArz24pjqC7gksWzu9KuWmSPbFqG7EDZPYzOaAEmXin6maQF8pfHkxEucq4qg6U9/\n4qlXuv1y6Xu+izwQ0D899X5swLdZVBcHKQOa6gXAV+IVeNjpULnw6tXlSqp81pK86xgFZBX4JsAr\nr7v4QLUUFAGh0ERJ4kVgtFo+a6AofL7CF1/w2MZjL5cHPNBbLLz1QuBSFe8mAJPq4pdfuI+jkff7\nL5cEgDp3IiHepzqQNeTNG56nX37xyf+zmVdDtNv+Z80wQHU2kPd9NOLPBQSVoi81hAim0cgDegUQ\nrlaeFNL+67gPDznH//RPJAbEB8pfr68gERayL0gJo2OSykBkh9QiOkfXhUpuV7h1bUtFIGtAEPgQ\nUJFLTWtJWXrFihPjbR5XIqua6gsB8+XSEylZ5i0xOg9p6gRosVfrRBGvOalclJOga7yqSFSoG4iC\nPI3hddRuX84ZsdbbNnSutq+t96kIts/h+x7P2+TCTcuqj04avA9o3EQY3Ef44ecGSG4bivi+IeJA\nagPg4YiDXcmf5thFZaBxXU7DrrkV+t2uFfGHsChct18fGop44+vvkFNx3TauG0+2hE90bFPTTU1i\nEBJExi4dvpwy/G7sEuNbTms4nzo/PyjnPjsl8Deu7DF3DcAr6yTNbWA2oefdBrQldDv8edIhsJ5M\n3GpsuEkFM8bSGpDnZAraDTD/QIDFhFd8QxvD6mszsazTgV0uYVsJzHAAu1yTPNgkljl9a1ETiJcl\nWK5XyShiC8o8I+isSwLQXn/TjQLWIJjNgf/uwxgLdPoEl+0WUDtp+XJOAkJNs8/OAFgfYgcQaFa1\nO5dZI9wPQL6kTcKCKom0RzLIWoLduuIcB4b/Xq1JAuy3+fpvvwbWNYmE0R6JJddc3Z6fsb2jLUkU\n9XvMCOgOgbqCrUqYICBgTWJeHwAVFNty/LKAXa9J3GyNq6T+Ow2nMLHTCUzGa8x+8y3wu98D//f/\nhWDhtK+1Oz/jMVCGrtNA6MmGXo97aV1Z9OyUIaJBQF3uYsnjW66obJACYL2CabeB+ZRhhAf7m+PY\nEGPWuqDSNdtjBv6c2LzwqXHrNc+ltd4eND13IY0AxucI1E+rLnn9uGsbiwVstoZdrGCyNTCdAT+1\ngZazErUSoDe4rJ3Xft6FsHkaADwIbrcJNCQpBzyQOz+/bEdQhoBiK5xLCYAPcdMjU0BuPvfycFkJ\nJAeXUkABi/L/C8AKECvAbn+ft3e/T1Cp45BtQfvfDGYTWJIsX8Bf3Rbk8U+SdzsmaL/UWULAV2Dr\nL3/xlfLmMY5G/L3At3M8bUQ8zdZ18sDLjiGSRFL0szOvpuh0KEZS3oN864MBj0WPXN0mdU2y5scf\nqYL44Qe/vzrPTQWDSBa1QNRXs/ZfpMfaCcJeveJxfvGFJ2d+/NHbG/b3vVpDSoCy9CBxsfC2h/19\nbu/v/57ba3ZDkBVCbRol6a9rHrtIJoX6SekhZYMCJzWaigEd94bDLf3jRNL9ZlaBrg/5+wGfn6Hs\nDV2XAEkQWVJEJnQ6nlCRwkfnYDTiZz57djl0U+cqiny3kl7Pd+9Qq0zNg76S1bHh8NCTUyJ38tzn\nhIi00+9FDl03dlER3Gbsuo2PRhrsAnxvQxjcNfywOT4XMHKbUMRdsw0AXCIONK4iDvS5u46rAONV\nc/nQtoS7APvHsCk8VCji+8iNu6gO7nIfP41PcDTl/us1JfZVyTi9dpugqK5dY+4ZsKyBVcF0/XxF\nguDtMRUI0xlXBS9eACUITM8vgGxJkBtHAFyCe6sDvHwBHDjtY9t96y1mwGwCk6bA3DJjIaJGzi8g\nLoOTewcs5opQRDdsI3J4s9jp9WGcl9t8+w3QaQPf/8mlhKUMwwtciJ7k/62Wa+UIACXPqxm7to2u\nabatKGtP2kAso28E5Ge0dLx8yZ2UhnK1JrBfzkk8uG4U7GNmSM7kaxgLzsGbt8DkjEGItqLFYOXK\nkmYJjCt2fWjH7I6QxMw/CAKuwNYrWin29l3JTZ0fOsD+yJEqXOnZVouWj8XckT68rmy3C3N4BGQZ\nX6OuCHEMU1bvTkAQELhv9z67SpN5myE/vlCa6w9mvv09cH5KAqCqeN6HRzA29haOugGgjWFuQ9qm\nAkOraFsBacy2m60WMHVNvQcuYFH2m7Nj3ivSDuu6znNXwpp5461+r/j4JKEVBYCJI+C/fuRnz6bO\nONwHYEgSff01Cb71ivsGXhPm6BnMsA+crJi/sVoBb8fAEfup1UUFMxzBzF1mhiu/3ZmweRoAPLCW\n5FjVTeUXSP6uyruqkYDvkKpKuULxVOmV51vSZ4GSJriXfz2KvBc7jr3EXaqBNKUMu9/nI6AZTFc0\nuLNma73VyjtlgsBLyEUySE2RprQ1AJ7g0M+lltDxKnRPAH84JNiTXFuAdjTylXAFPAok65yr2j6d\neiLi4MArLSRnl5xcf2uefvzR2zxGI75fZIXIgh9+4PG8eeM/Vy0Iq4rHq4BDhR+qbd506kMhpcjo\ndFxjn7U/j/v7wHff8at6vQb+4R/42ZMJz486B4gs0fGJgNK18vIlO2R8/TWvhdNTvreZiwDwvc+d\ns0zHozBKtVuUMqSqPAGk6ryuO8BnSTSr29Opr6BLCSAvf1X560KEgrodyMajR+N87oNFFfGiLhGA\nz10QGWGMz+jQV4yObW/Pqw8uLvx1putRKgxdgyKdgsDPo+5NnReFPup6bXa81b3QDEK87vnxsR+/\nj55poHGXqvT2+K3aEq4bdwW478s3uC5gD7gZiF8HFnchDHYZ77Ml3JUwuI8cgQ8dDxGKCOxGHOjz\n3zcemjB4Uhl8hOGoeFMWrOSuMwROr2qzDKYsWUGdzVg5bbcIXm3NNnpvf6UlIXGV96UrDe2NmKqf\nrWhBgAM9rQ7/oGBlXd/oBq6XWEyADBDUlAUrm3nhZNTBJmZh+9vx3gHLxix4TQs5t4JvEhW2KGDC\nABYGptUmSJ9MgLMLVz1vszNBGLFaq7C8+ZzEy3TKoMG8AFKnI+32XUJYSAuDsQzjk25ysXAIoXC2\nkAlBaa9DdUcroJJg5VZ7gyHw+hdsfOxFRjVJ2iEpEIZUliymwDgnQJ7P6MuP3IooiYHQJZbN5g6x\nuBKWOj100k0FneWZDuzhM5ixQwFCJDHPhQ2crrnXIxAVG6PSadPbD8CkbdiIRtVLEv4PtagY4xUi\n+hMY4PkLp46xTlcdAL+eOT2qi6qPYr/fQiG9Psk3raStBTqBXzGPxx59lGzwHZyeAiaAdfeWSQnI\nTRTBpikQuaDSS8fdgqlrqhGWK5j1mkTHeOzsFJbzsVwAp6BlAZb3facDgKjDLpbsRhG3SMxYd97r\nnGTR4T6Cdb7pAUgVRAF1pHgiDe42mnyngK3ayKn1nnIJpDZQlTUMfep+mvJ2zDIC97dvfTu5uvZh\nbwJdVeUzCQD+W9VQ+bwFgtOU7xdwbbVYhW72dZdyQJXn/X1udz73IXeA95EreE9yeknnlbWg6rgA\nl4iITYar2Th5Nm34pMgYjby94PzcV8tFxGgIwErqLqWDcgEU/FiWfK8+S60tf/zRibHyyySFMcwC\nmM+pSDg/9/si8kdcr6wU8ssrPkRz9eWXXj2yXnOfBMwXC1+BDwJ+ls7r//yf/tj0R5V2yd+LgudZ\npESr5TsGaB8E5mUBUXcMvUbWCakeZN/QXIsAe/aMxycFhdQSshhsNfvZBA8Cl6X5ekw3gbK+msXR\nRpFXHwA+VFIqC2t5nCJdRPDIfgH49pGA7/qgwECdbwUmNrNHFgufZyAiT816ZN8RIadt6JrSPG/l\n2m7O7ac0PgnS4H1A4yHCDz+3cVMo4l3UBrsQB8C75++2svnmuK5TAnB3W8JtCAMB0KvAb/Oc7gLO\nBcYfsivBfZEZu9gp7sMC89jEy9PYYYwvYKYuUC5JCC4CA+QZ2/H1esws0EpN37hFAeSv+W06GbNC\nWuYEotmabfyCGDg8IFhNHCBqdwh6w4ghet/9D0rwq0Ybu7TNf4duJbBcEuhqZZAk2JAQGh9aYb5u\nvK+F3Da1L5JhuaRRtay4EmjFvg9TkVOFkLvMgKKg5tUYki0WtIaEMVfJJgBQk2QYDn0fp5XTLGZr\nnv8oohpgPCWpkpdAL+U+TCfAyVu3OgZXNHtOY5tnwN6hK7XUfP1qze4JvS5Bpi15bawd6F2FXA0X\nBee43HNzFgLFCgiHQOSO0cB1vGhRidFqAbMpTFXyOHs9H4du8I5ywNY1zGz+DkC2FhsN8L0n9TeV\nN7XbB61SA7cjtiZ5knYArGCDgCRb4boUhDFgSiB2nR36Pb/CN05pcz7m/VA5BFS4FWYUAnkBE6xd\np5KA+zKbMBi0KGDabdhW4lFFXcOu2EozWMy5rdmc91d5AcwzEnBxTMIuiYCffuY87u27kukaptPm\nZ9YVj6PTA4YpgJihjibkOS8roKw2AZtW9+DTuNNoSrO7Xff4KL33f7n0t7682AL+AieLBX+nRHyB\nJrVQVAVVQ3JmgWV1DKgqAjt59VXRFuB5/pz7eHjISrSq3ID3XgswtlrkTZvVY1WBJxPfklGt/NQl\nQJyt1AVlyd/3+5er8ArsE7iVOuDkxIPxxYKfJVVFEwTKuy6eT2GUnY7vYqF9VEaDchNElojXHI+9\nymE65TbPzjyAlJpCVX5J4aUakGdewPXZM99VQ8TNYuG7FZ+fcw6kdpDyJI55W4uIkEJFjwp97qtX\nPO8//eRJAR37/r7jPHs+RFJ2BJEnUg2oqg5wjvQons+9ckPkgOwtz569a0logv/mI70pqmoOXSOy\nl2hobrZfC3glgq7HpuJAaolej8ehzxW5onOkwMXmPXlx4TlhdXiQNUgkhO6/vT3fPlX3SbvNz9W1\nmOeXlzTKcXgiDbbGrlL2942/BpXBTTaFu4ybghE1buuXb75ve7vAZcLgPmwJ22OXavV15MFjKw4e\nKhQRuL9gy+vGh563J5XBxxnm5ATGWoKYycRV9tusLFcVQ95abSbIw72uLglC5ytKnsdToJ050gAE\nq0HIFc5zFya3do2a+wNWNtMY6AxZPgljAt/lgp8XBPS6D0bAwQGBUBTB2Bp1WflV6cfqBX+bFnLt\nNuxq5freg1X8fp+kR+7KfUXJ4+ukwMwCbUMAGgSANaz69zokWGrrjb6Fiz0PQ1Bebnlul0u+r9dl\nJTxguzysFpw7NfpeLBw4zZxFwaGKc1ctXy+dSTMEijXbHi6X3sNfFZz3yJXuFk5hkGdcYf7D/wLa\nAdCe8menx2zRuD8iYO50YcoSttMBnh3BOjRknD7XKr2rOa/WwqQpwbgxl7z9G40ucL9k0XZLwwAE\nySsCeGMN52O0B8RdhjV2u0C/j3qx5PsXc5iyQL1cwgQGZjqliTkIqMaJVs4Irej71eXI8b4z2LZb\nvF5m1FybdgpbVQwHLXLYyQSoChgY2PUSJoidjtppZ8uC91VZ8hpZrwEELgejAiIDTC+A1wHw7AgY\njqg0KEogBTb+HGN4IjardwvTSWH7PXayMIZkxlOewQcNnT5V6pVJoIqkgIrk5fJ2i9+1lkDy/Nwr\nFeSFHo991VP8r1LeVe2MHU8pybwuR9kKVPEXMFdLxWZveR2HLAsCYqvGV7oAlsBaEPjfS25fFN4/\nLvCqSvDeHsGylBbz+WUFhCrhJye+Mn50xM9684b7fXzM/ZVNQpYOtf4TADROLCbgLb+8ZO3bFXuF\nC85mfP10uulOuvHyy2mkuU0SzoUq58q2UJtD5TMY49toCjxq+8pjUAbA8bHPcShLL/NvVue131JS\n6Gu02cFDhJTaJQrQSp4vm4KOaTuUT/vVDE9U+0s953UsyiDQ9puivl3vnSbh0Bz63cWFV3OI4Mlz\nH+BpjLdxSDkwHjuBWKPbhM6DrhvAZ98q/1aZFGpPqqwCkX2At8bos6WG0f7q72ZY56c0HoU0uAlg\nvI8wuKpKfR2A/K2oDHYZH5JtAODKYESN61QHV42rAO1NhMFdxnW2hNsCz5tA+m3ImI+tNvjUiIOH\nIFqeCIOHGQZw326GAHQyBQY9169rQjCYtIHZ0ucVDAcEnGenACzzB0Q2hK5XVlVSF1tXLr2qoMc7\nDFjt/PILADHqbhfBYARbZDDzhQNJFT/DpbObTgrb7aKu3UpUJYSP2Qt+189wqx/THwCDOYmUTgyc\nTICffiSQTxKC+iAgOVBb4GCf57+qCPyrCpgv+f6yZD7BYs7Vcu1ImdEhATncqmK1BuKaVWSVOUqX\nGlbmBJ+5CzHUSlIV89MT/h5ga72JIzeqmvMqq8lo32976VbV8wVtE+fnwMClPVkn1W/FsKP9TaCj\nVTcAmZ4d0LQiRxxislpFugBHu9UpwEoD3RxNVHNdHPcu89dsaaiRptzHOIbJM87ZYADMC1+iDAKY\nMKSCo5PCjscIYHnPVAWJoskMCCzn1oQkU4KIVo/MPYsPj3huzk79/BQuILPdpgWh1YKdTGDGY+6H\nBUxZAyYj2TMakYDLS4L9OAaSgPdxlgEXlt0sOl2qYBBsyr9mseD+VhWPcz4Hwpr3dhBwBjo9WBNc\nKg/a+okw+JAxm/kqs6rFEhYBfKzqNbIpJIlvASgQCLiolNyD9aZnHPCVfCkR2m0fbKemMFInqMIp\nEkLhicMhQa2m/LogNoFU3dLapybfpz/LpQ+Oc/Ecl2wA2l67za8mtRFUdVePgDD0fvTl0vvJBRjV\nWnJvzwN3VdEvLvhaefhlIRCRIluGzrEq3cozkG1CknSdD6kcVPlXCJ/2RRXuft8TQYsF8Mc/egAt\nibv8+Zp3Adx+n+9bLj25olaDp6e+wi7LSOAETwoRVFVc4DgMPcGjz5LtRNeGCAm1p9QQgRBFnvxq\nhkTqUStyQaoPXS/qUnBTRwptQ+qFJlnQPM8iWwAf/ChyRhkaZek7MDTPt86l7hcpQorCd7qQTWY6\n5f8VzKh/iwCU/aNp21mtPCFVFN7CM597ckHX27ZS6FMYH4002AVYvA+k7UIYvE+u/rmDkV1CETXu\nalMAPNC/ijwALp/f6+atuS/XEQZ3URk09+smImOXud4lS2B7PGQXhV27ZdxVYXLf+3wfhMHn1tHk\nsx5hQFCyLtxKpeQ34dKtJIoSKJe0CiyWBK4GjiRwutNOj+/bGxGgdLv8f20JdJIEODh00cJjlqkO\nD2DDFPj6W9TtNnMAplNWnfPcvR+AMR6MuJ7wm/ExyILbDmsp1y4KmOWC4ZC9BPjL98DJGc9NFANw\nq62kRRVC0gGqOQFm5lZugSFClrm37VaG8xnQGQDPnTlUhE+ZNxpHJ2xtuZhRxVHXQLYgoSAUsXIr\nGtQkB/b2PLA9PwVK46TxLhUty/w10O9xPkI33wGocf0//gkIncZ5tO/LhtKiJgnseqvJNECyaBtF\n1LWf3i21xztV7fEYmM3Y1MHCR6bfZf6uuaRM2obt9lCv19QcxzFsnfnVrbXMATGgMmKxAMYXwGwB\nHL9hB40sZ75EFAFpQhvHi2euZOwSt/o9znunRxtLUfIedYhMCgxUpTcHA5yXMKAaZFNCc+XfsuLc\nqdQchiTvIrc6DsB9s7U3M08mjmRyKG005OcnbZh+f0Pq6bw9tVr8sBEEXrIswCyQJ5AmQNMkGC4u\nfOCcWhVKGt70y6cpgb5AkAISjxxHJQ4R8JEeIhUEhjsd34pPwKvZtOaqR7Jk4KrICoBJ1i8CA/Cf\nWRT+sSflhcDvwYGv0ioKRNL51YrATZaMXo+vf/vWV+v1WHBdbDGd8lZVfoMC6AT4BfbWa3ZniGPg\nD3/woFpBf0q4X6+9ZF0dK1Q9DkNvQZC0/9Ur7meW8VEqeXoztyGOfRihlCAiWGQNkepE8yQQDHjr\nis6TLCmydnS7PE9SWshzP51SrXFx4bNtVYWXQqKpjFmtfLtHSe11nvSenlu2NztjqMXkeu0Bsqr2\nIqyUd9BUHTSl+tvXnrKKdY2+feutAFLbKC9E51wkQafjf6bQQt2Hp6fcRpNokV2m2/XnT9es5kX3\npDH+fgxD3+pRZJdsMDpPWvKI3PvUxqPbE4Cbq9O3Gb9VW8Jth9QGu47riAPgXdWBxvsA60MRBrva\nEm4z19cB9cfopHDV/tx3C8b7Ig4eysrx13KfPso4PnH9pdYEo0FAAqHlcgXKii0VbUWJdBAC5yfA\nbMzflZa/XzqrQqcDPHsOHD4DXr7itvdGTPNvpwQkwyHw7SsYm8BUFWrAR1trtbhawQZgVTWOnSf+\nE/zG1GhoLO06Q5DnrtLuVsbnF2xDeCmq2vV1OjyiuiOoeS7zgqA/ijbECdoJOxAM3Irt+UvmRsSO\ngFiOnSVhRbtIXVEBMJ/RahDErDoXrhxma/4uTZmNkOVUd5iIhJAFFQ2Tc1bB1ddr7VZdJuJ+WzDI\nME6YfbFakZiIE2dVKWBqCysDcqvF8MLawhh7s7XEbHWvaKwKL1W1x2MES9dRAsS/WC54Xd2WONj+\nzK0p3hjOg4BkUN5YqdY1uxVMJrR8nJ3y78mE91dZch9NAMAAA0fSdLvAcgUbBzBRxOsibXvUCJFQ\nS0fEUd9q4EiljY618e8s8wTEZEqCAvskklotrvSa6WK25nxb0DbTHTCwsyxoG/nqGezrc5J7Fgxo\nDAIXvHjDHD6NncfJCf+W910VaFXg69pXbK3l6ycTn0Wg16epby2oircx3kogQBtFrLDKu9+sZKap\nD/zb3yeA2dtzwrOEAFP5B0059XWjmYQv3kqAX0AX8CBWXwOyPCjHQcRBU7qt45eFQQoAVepV5ZVS\nQq0Q53NvT2iSF5KwK1SyqZzQvolwETgUeFWVP3SRL1IBDAZeESL7xN4e3XkCwmdnHiCqiq0WjwDf\nr+4KrZZP9RdhkKb8nG6XRIRicmQ5kQRf5AQARaGg1fI2AykvpDBIU39cspSkqeO/I68A2JbU7+1x\newLKIoqUB6FzL5k/4AG+Hn3rNY9JSg/lFjQjha4a1nrADvBcGkP/9iypAAAgAElEQVSyS/dDlvEe\nEqBX8KA6h2j7mk/ZL5QZIkuMSAJ1NW4qdUTk6TrXV4eCFzsdn82hedQ5UjeHjyWmvOt4dNJgV8Lg\nyZbgx0O0YNwmDgDcqDq4btwUWnlbwmB77GpL+FDQ+djZBleN+7QpAB9OHNzX+XlSGXzkcXbqy0Za\njYruznLg9WtWnWv37ddOgNMLVjADy0pl2xkUkxaT/pOE4ChtaADLku89OKBUPQiAooZVYrsDkqhr\n2CyH6fZgkwRWyVSf6jcm8E5oHtYrVv/jFoHXyc9EsoEL+tMqbena3MWx70JgYiBfAnMQULZcOWzg\n/k1xPkHoOuP5rl2JZjknqB+PXT82hzyyNVCvOGd1DSBgSF6eu6C7NqvgsVu5zidA2nKKEnCbG4Np\nik0XjVbKfVm43AOVsXoD12nBrdjc6smawK122xtbwo2rIZWwruteoWtrNtsQBpuhcuxgcDurwi6f\nCTg9bAxbzz35UVtgMkVwfkoCrbYkTzKHfNpgm1IFfOYZ99tanu/uAHWvC8AwJFILxiSGaSWbe8iE\nAWxewK7XVOYsnbyirhqr8xaVJ3nJuXr+gp/35Ve0HY2dCTpOeF+2OgBq/n8wpPKkpOLHqCTYSdkO\n01pY1yXho9mD/gqGgKiApeTu+/u+fd7pqa/Eq+e7Ho+65FWdLgpf4VXFfjYjmBNB0AR8w6HPJ1C1\nczz2JIHCCiVsaQiCdpr+ZhK+UvZVZVbLRBEbumUlOW/+W3aNqnG5C4gCflsvXniPvIIjVWmWi0nn\nBfD2hGZ1W10pBJpVXVYXBAUTikgAfGigpOXPnvkq9rNnvmPEs2eOTz7nudbcCthPp9z342PfYlPW\nBPHrquhrLl+98kSHCA193ahLAHC5I4KuAbXYVICmZPdNoqOZfaFcAh2n+HDAz5mq9FJtLJeenBDI\nlnWmKTSTskbbbz5mtpUtTUsM4DtDiARSDIuCDddrP+9qQ6mlj3IHLi48ITCbcYkEuNin0mdX6PxJ\niaN2i+oKcXTk3WsiHPp93tNqRaq5ki2hudz5HB6tj0Ya7CJp19ilav6kMvjwyvh2MOJVqgON5vm+\nThXyoRkGV9kSNK4DxHed59uqDR66i8KuNoUPGbu00bzuPfcxnsIPH2FMxmyjN3T6yF6XcupWwqr3\n5MyBxLZbFRmXpm8JjNdr1w7RrXT6A/7/7JTfpK0U2BsQjBSl10i2AKwt0OtTzu8qldbyPrbA5/GN\nuR2ah5pArqzoFX92BPRi4P/5T18SS7usAGcrIK99UKRKf12XtAXDqn/hCJVV5lL13Yqydqva0R7B\nZ3/AlchoxJaK2coZKiPg4i2AgIn5YcQww8qy6t3tEySevOV+qDxXFtwXYwiiV3VD27oETt4wrNJY\n91oXOZ3VvKacpL4WEG02nt51bt/XvaKuEVyzmcAAtdDBbcb7PrPxOgwGBM5ZxusgCnguwoiAPSuA\nIAHsiiQPrMsGgGvF6cqInQ7tD0P2mrNKj1ssgCjcfAaKgqB9MoFJUxI7geGfdofEUSslUbC2vM5K\nh2iq2ndJGOy7VpcuPFPkUjv1K/OyQQSFIUy5gjUGNk6u16I/jTuPJmhTy7iLC07dZOLBq6YnCLxo\nSe0AZV+oawIdgVkl7wO+sq2QQYHjZotHgT+pCySjliogjv1rZFPYZQjEHRxsHEWbKqvUDLqsVFVW\nhVzgq/kIkfxe71GF+fycf4uYsJbbf/HCBxd+8QXw/fceGKvDA+Ar1AKICqCU9P/sjP9vtXxbR4Xr\nCShPJnyvzqdAqKrbx8f8DB1nXfM9K/dVcHx8uWWhchPk+9ecyIl1dORzB16+5LlUhkJZ8npQDoEq\n4d2utxOo6t9uO7HUOT9bJIFaDMpioOtJbQC1byIPFJujgE5lT4gYEREigkFKBBEbgP9dk69tqhl0\n/cWxP+eLhVee6KtsOvWkU7vtiSQpXvQ7tSptKj50bwLe1qD3AB74r9f8vOXSt/fU/ZymnojRe5pW\nHV3bIuQ+p/FRSYPbSNo1riMM/lpVBhr33YJR433EgcZN9pHtOdv+7A+xJWyTQ/dJDN10Tj+Fcd9q\nA41dyINP7Vw8jTuOuEXZfKdL8LhckEgIjTOIzn0oW6tDCbut+booJjAN0OgnBALPdofIP4ldy8WE\nRIRWYQDT4A1Qr1a+v/vnBEKuCs0zhhX1MIBJuwRzow7w8kvg7KShmTSs7B84fXDsymuFC9lbrxlG\nl7R8iWK15Pnt9AhAO27lkq85F3npV6qTMavJWsHNl8BwBKxz4GgAtLoAzmk3SVPgjSMMxmdstdgf\nkCioLds2Wgu0a14nZcHrIncG2FYCHL0E/vB3XBkpptutNM3Rc1jpO+8ybupeEQSorbMkbI1adoL7\n/szm0M9zdg4xrTZbME5cCGhZAKWr1EeORAtdhb/TIWiPYyBKGPTZbm86UhhrfVlRf9pttn+sKmA4\nhJ1OgcWc3ROiEHYwAtopgjLnvf31t7w2JhOGcLbbDM/sDWGzHGi3YMoCNkpgwoj7WNe8bjdlygZJ\nkLlAxs/pPv1MhsBXlnlAptC042MfRdKs7AtwqzrerBALBEryDHhCQi6bgwNebpJDS1UgSbqC66ZT\nvy+x6x6rsLf0jksBERlXZZcKkAloqorb5O10DrZjblS9blo0FDgowCzCpEm6GMNqv6rc4u3UaULH\nHgQkDQYD+uQFPtVRt6q8t18KEXnqJxMf9KgMBB0fwJ8fH3Pufv2Vr9nf90qHZuu+ZoDe4SH5ZgVZ\n6vpRGJ9k94Cv/CeJD7XUrS4A3LzGBHyBy+qU6dQrWgTcmzkVqt43/3S7PjwySS7nd6jyLgJLioLt\neReR0NxHCSWN8S0qmwoFKQO0XZEVCvRs5ha02zz3iwW3PZnwfMpSsbfnAxylvpBqQu1PRQIoyLQo\nPLEk1YHjnDedT+56Hz32+GikwV0Ig+vGX1v44XXjNi0YP5Q4AK4narZft72t5rgNYaCxiy3htzjH\n9xGKeJuWmR+TGHhSGTzSiFxporb01M+mDFhbOKCTuPC9Tp92AwtWtgt59h1FHzuJuwlJLASGVWyA\nAMm6n8ctX64ZK3bYye8/t2/Nq0Lz3KqDLRcNgeN4jE3s/8UEqAMe/x++Iyj84/9JVcfZKQFab0hr\nSNpyVXy30lmu+LOqAoxLMltnsOsMJoopJ18v+DnLhZ+bsiRQLUvuU9rj9k3A8Lw4YneL1dKl7ddA\nsXIAN+TnlqWznsQExa2Ux1ZXwMtvYb/9G+YyrNfs2BDHfE23B9sMObzruA64Szu7XFxGD4o5/5Au\nCrtK73UdGAMLA9Nq8Vpfr7ian098SGh/yJ+HrsH8cMj76GCf+/zjjwjWVCVYWBhDNY9Vo/bN/hi/\nQu73qUwIQxhjYIMQ9vwcphNRldJqudyJFq+l0NmHnEKlrpyCJM9gJ1MYWJgwovpHYYd1DVs5+8J2\n14qncS9DwP/szPu8JxPvvX/92oMzAXZ54QX2dDvIiy3AFce8VARqVNVU1Vghc2nKFn/N1n9BwMt0\nNPLRM01p+4eMmxqdNFv/NUVKGtflKAjQNavyR0fc3tu33irQanlQ9/PPHuwBlxUbIkvU8cFIYJd7\nYkZBiKo0qyWmvP0vXlxu5ViWngRQBoXeO5971UhR8OtD5IbOv7vt0esxF6HXu6y8UPZDHNOyICGg\nch+kKjk85Oc150Ee/MHgcneDLPOtGQXil0uv0lCbSClXtI/NzIrm3Gkb6/XlsEDlOWieRHrofdb6\njAJrXfMY6+ca8OoUwBMGde3zFTTX+/s8htmM51tEEeC3LytPk5CZzXjMuu80p9PpZavPcsmfq+GQ\njlPb1HX+qTswbxqPnmlwm4o1cD1h0By/dTC5y9hWG9x2COxfRR7cdhsat80xuI0t4b7GVUD9sSwK\nV+3PdQqI+yIOHmv8td6nH3385/8LHD0H0l8IXvb2CArDiEA3zxhsFxgqBsqcYHS4z3C11dJpAhU1\n3ObKYv+QqfAj10owyyjLr8FgPgAAV1tBksDmGdvwfU5hauaa0LxWgrrTBSxg/vxnYHVBuf4XX3m5\n9/PnXD2sly4gsUV1Rlmy48GL52w9mabA8WsXKe3S7qOEwPzsHOgPYBZt2PNTmOmEFoOs4O8iw7k6\nOGJ1GKCCJAqA2tkHrMp8jgBKU658zi4AO+bPKkO5e9LyOtdWBMBQqfC7v2WaflEArw6Bw4bhNEmc\n1+QBx2jE0MP76J4AXM6ouM6a0By6DlSd10o2TqgIGez5GHyVtRQ+6PTZ1loEcUL7SW0BY3ldVRVQ\n5DALSxDvUJptJRtC4VIryjByGSUt2PkcRuGmB4fAAa1FtiyArIA1SxiVKpMEdjAADo9g6xp2NmUo\no05Cvwfk5qmt4gMOycGbCe+qNgtQKsNAoD+KfMV+NvMBd3XtAR3g2xQKxKl6vloRvHQ6l734gBcp\niX+T/P1jxlg083GbYztiREN+dUnQ5bcXYNvb88Du1avL4X7NDAgpCwCfVSD+VQF3KwcrJFVXJ4aL\nC0/gKIfiT3/yXQrUiEZtJcOQYHax4DGpy8Pm8Wk9UK9rznm/7xundLskFkYjrz7odkkmnZ6SVGi2\n7dOQ+0ldNuTHBzz473R4TMo5aBJHyqbQo2299ue/LHkch4eb3FZGIrUvW0ykgOj3+Wgcj7m9/X1P\nVCwW/Kzh0J9XwIP/ZlcRzVPzuhCZsl7zWMQldzqX7RBSAKhrgkJHdQ1InTGd8m/da2XpVSaa8yjy\n11UU+QBEnX8pKkTyfU7Lnu3xqKTBbQmDm8anDooeajxEKGJzbKsOdn3P9tiVMHgMW8J141O0KACf\n7n7tOp7CDx9xTCbOU7+kP/2rrwhKswWQuVJNsQBg6Kk/eUsAGkSUtKc9BhuuVlyRXZwTDH35koF4\nQQAMerB1lwA3jmEnU654SpYCrFYCzYSjz2EohakZmifAGSeUixdrV87JfWkJzrxaZARzWrWsMyBf\n+dVGVQBVxIyJLHerlojzkzhAN2GgnVkuqWstStoV5hNuMwpJBo32nCIkAmoD7A2BtVaQNWALAIar\nwLpiJkLlVtrDAbch3ehoyH2PYjBUsXD5CRFXoP0W1C7SVjVMuyHzf6jhkNMmw+CuCoN3MioAFDl5\nj+tWds3roJXQ2vGXH2hHWbgS1PPnVGkUFe8RleXCGIgTmNmU5Fy/57MvdBx17TItVgwMbbWAfgLM\nZ2zt6ErCxlogMrB5Dpu0YJLclygF/lOnjS5zBGEHtiph1it2SWjGe6cdHo+OT+fzc7o/P7Mh8CHQ\n9csvPrxvPidoms+9FBrwYXfyzA8GPsRNYX1quZhlfBTJ/w14t5S8+QpfFIEgsClZ/mM4yHTbqeIt\nwmD7dmxWm8V9iiDJMoJnEQayKRwc8DxHka/Wyxd/1ZD6QvaPC9c9VeGSqmaryqzH0Xzuwxl1Oy4W\nPsNAANk1mNlYRlSllk1BNpKvv/bBhuKh9UhptXicS9dhVZkGsmdI8q/9ECnTzBdQtVztNWVZGAw8\nqaXroCg8qSWyQR1nZzPu62jkLQBN1YgUB9r/+dxX4AG/r3nuiRCROIAnINR9Qa/VcQC+sg/w/Ku9\nqM6NSAXZNazlvaPuD2dnlwMgmx0QAB8Q2uyyAHglijINhkNebyLhdI7v+lX1qYxHIQ3eZ0XYNcfg\nSWXwccZVqoObXrc9bksYaDyWLeE2aoPt8THUBte+7jNQGzzZEh55NL9hqwI4PaZnPnNt8+rKheY5\nbaUFYN3Kab0G9lJg35lgh/skDJIWPfxadQIEUp0OsFrBtJx2cj4HYF02QgaTJA8PLu97NEPzMhcK\n2W7TKz6ZEsx3nAY4MAyqy125qrZAW+WKim0shRAS1+YwSnwvNVsxkyAogCqmoqDbZVZBwdZ8aMW0\nl6QdAt+s4GdGAdUJ7TZXLgYsHXa7LGe2O0Axc3aRkAqDlTueqgZWM87taI8+/XXB/QgClrOGQ36e\nMSQPXANxYy29+h+rLPkhK7CrMioAv6K/CTDrOlivgYszmCAEXn1FcmW+JCn35oykTVHQTtFOgYsz\n3k+BQxFnpzzPnZQ2lbTN6n+3s2mvacoCtrawqxVQlDCLGecpSZyixAKdLnMP3kF5FqbMgBbLbeb0\nlCRGklCl8NXXTFHbCoNEXTMA8XMuiX3iQ35ngI8A2ROmU4bnqeWcZNx7e0zgl6pAohEBQwEVedIV\nPidZtpQNko8nCcFds7LdDAZ8zMeywPBNKofmV4dEPZL5CxDqa0xAV179pgJDj9uy9HJy/ZEsXuAw\nyzzwlG1DCgTlIoikUAtIgNuRF17t9wRMN1mza698kI0kDDnvlevWOxzyMX525tUYUkNoHzS3IiT0\nmFPoXpOUEaiXMgXw+yNw3wwujGNPElSV4yPdeVMtQJV58Zc6F8A7mbZXzqvOt6T+2oYsPM08D1kS\nNH+At/EoO0GqgSYXmuc+OFNWC811q+UVFMol0DyIPGraD3TsykuQG1ONfHT+JDj73MdHIw1uk1lw\n1biJMPgUwNBjjodWG2jc5X13IQxusiV8bFLofVX9bYvCxxq/VZvC03joUQGICTrnK/rXX7i+RNMZ\nUJfA6JAS+rpyKgO4tKMWAX+RU23Q75JAyDLU1iKIYtTOC2/6fdh1xurzZAK0vP7StNj8uq5qkguf\n25C8u65dor0rh1WFyxdYAgh47tIUmM8IymdTV+EHQWPoLAJxQoKgssD0ggii1WZmwIVLn2q7loi1\nZUvM8RSA5TZS41o4LgDjVk5VTTIhCIHzKefr9S/A1CX4L9ec6zAgMVHkXm85nbhARmczMQEVEYEB\nRgfAYgqcnrCM02qRVHAre1vVt4tXf8xxVUaFG5zS95AfTmtrrYHp95hTcXzM1ebbX4GTY+C7/+H0\n4G3aUM5PXHP6LvMlliuqQ+IEiN6SwJvOgFcv2WnElZgNLEyeO7KgRZIoMDC2gjk5Qb1fwxY5MJ3y\n/mq1qXQoS1qELIhEF/NNiTSII2AyRm0M57IZBjkYAPnd1glPY7eh8DWBGVW1VT0XqA0C17m250Qn\nffJ2jUYXAHylVMBMQHk49BXroyOCqOHQS66ThMBXAPN97pyPNd6nctjYidxIU4I1nVORB3t7PHcC\n+9Op9/kDvuqeS9y1ld8rQKhAPcBXxKPIh1MqB0Gg1lpvXTg+9kGAeqwEAfdVeQMCqCIkZAsYDDhv\ncQz87nc8Hsng45jbUH6FWlEqK6BJEDR99CJlqorXhdo7XqXsaLU86FZXAF2XCjOMIg/S+31vQTDG\ndW/tvJtTYYzPQ9ie57r28yNrh4iD8dgfg6wBBwd+3pVnIDCvFpYiTwDu+3h82Zqjcyn1j+6/+dwr\nME5PvZ1BCqFmCKTmRATDdOrn5VO4p+5jPHqmwS7jpgC+v7bww+vGbarjH0Ic3GbcNsMAeL8t4WON\nj9Hy8Dbjqv353IiDJ5XBJzBs4L/t7YKg8s0bgtEqZwBiULNaWjrQqZZy/Q6QLVnFhiuxzGeo9/aB\nv/k96tQF6eU50+BdKcaI1o+d517jM8CVNw2jSjvA4wxd0F02YzXZGALuymljo5DALctdF4MWCRmt\nIJVeVro478XaGSktSZx04BUErYRV7eWKKfnnF8yjsDVzDLp9EjJhCNQ5cHxCQgLGZSkUDGgcT6hM\nsBUAl5+glXDcIvDs9UguLFYufjsgCJ0vXemFK0MLwPb6n0/A5XUZFXCLyV2Ij+USgXrknZ675Dl3\njgdOXzwcUdHz009cdYYuCDTPiQZWc+BkCbQToM+WliZ2DePPz2HTNkyvD3v8Bma15goZxq9W1yuY\nYgAM96h4kK1FJubc2Ul+fQP0mj2+LK/J8zPuh1bvj6FJ/yscnY6XTUtOLeCYpt47Ljm7kvlFEqja\nKnm3+sVr2z3XEVUhicMhfybQrNZ7ScJ/q0PC5zL1G5dQ4fd5b89L16WW0M+UsK82jyJo+n1fqRdQ\nF7hUSF/TqpFlvlODkvudawwA51SAWJJ2gWBtV3OufVTewd6er5Tr63Q24/4px0K/0zZV8W+1/LFp\nNJUaV3n/9dVzk7Jj2y7S7xNAr1Y+o0Ekhjp1hKFXeAiYSw2jPARtbzp9V4EglYXUBSJ0AK+Yae6n\n8hg0r9qWAjA1J+s1/6/sBpFHyh+Q+kBtNbVNKUHUZlFqiDT1hIDuJ3Hm6lKRJJdzOj538uCTJw2u\nIgzeZ0v4ax/va8H40OO2ZMH7cgweu1vC+zpTfKxxGyLjUyUOnsYjj/mcae6w9N1nOUFIJ3UgM2Zl\nMkqAuCCZYC2DD8sSmM0BhKxMhyFwcQGzfwgEhh5ppUqFIT37qxVMTT2jnUzp/QdXeyaJPz97gsY2\n4DQuSf+LL4CTX4AzlyaVF4CxPL/dI752OiVot4YGUMMke/YF6zCxq8gJ6OOEH9LtAKiBdQkklZvD\nAKiYvI9szW0AfI/Sruo1EPWBn3+isiCKXLClM8hOxiQAOgO3soIz6abA0QHw4pUvMa3W/L0MoW1q\nUG2Rw1YpSSKZPx9jZSRN8a62hasyKoDrU9e2x3oNU1fkh9QA3IBzXoOtF+cLWhN+fU3lR+wCR1dL\n/q50kedlDhiXP/DmVxJNgz7bK+7tA7M5sxeq0pcNZ1POVbcLM5vAhgFsxyWvXZzBhC1YY2A6KXBy\nCvz0Fx5Xt8vWjwO2PQ2MQa2S39P4aKPTwSYxXu0OJYkuS/5ObfrGYy8N/+//5m08GPA9R0eccvm7\n9/Z8YJ6q0gJC4m+3rQiSln9uj+Kr8g8OD/kzVXwFbhVk9/w533d8fDk4stfzuQJSJqgaLVJAkntV\n5lV1Pj3l72UBkOxf+QqaY5EyekzKBiACQ6RQWfqMAW1Dx6euBpLNxzHwzTeegGoOAetmboDG9mPu\nJq6wSSooyO/nn334ZLNrh6wBOk7ZNJRfINtDGFIgNx7z+tW1r5DEycSTAPnWI1rqA5FrUjlo21KO\nNNse1jU/T7YfkRlN5YS+Prpd38lB92Gnw3uo0yFxoS4MIhYODz35p64NTTJkF9fb5zA+adLgfYTB\ndcDnr7V6+bFsCjeNuxIG143PCdw+ZBeF68ZN9olPiTh4Uhl8IqOqWeXe0OsJQW0Nt2pxJZQoZMVa\nfYmKnERCt0fgMpmyYvrl1zCDPuxqTYIhjmFggeUKpiy4HQc6TTunj7rb8VL2z/Xbcxtw6v8GwB/+\nAES/EjQaw3Nb1/zdV19TXh4E9JYDwI9/YSX4hx84N602SYbShRBGEbMKJudeN5mvABPxvSfOO58k\nVC90Os6o6VaeyzVgXOcEawlUex0g7JA8yBva03ajRWaSvltuOTxgu804ZMeMfh9YVjD7e/TMA+8P\nEnyI4Vaet+6msOXl36l7AuBX71FEsu30xF8HVQ0kIbtnhBEwm7hkMetjycOY91e2BmDdNQFPuGVL\noO7QOjIeU1USRCSEZJ7OMm4zz4BfZzDHJ4CtYTsdmHUO2yp5D04nvGfDgK8vCgZoFiQfaumvNaTL\n1Qr6aTzIEHiJIp+DqeT5ZhVYoBfgba2K6GjkPduqMKuS2u3ydtbPJxOfeSCwLDCr6q9a731uldCr\nquQCs5ET3Kh6r7FaEUCqo8Lr12zPKI++boEo8hVigVGBXZE8UcRYEFkaJKUX8aPOCwLAes4ItEeR\nVwyoU0OSOFFSyEeZtiWwq8dyUZB3fv6cQFa2BMCHBiqAD3h/uORNo0kqqBLfDASUxQLw+6A8AalB\nFgvflUGfrW4gIkr0KEoS3x5SQYLabz3+Wi1v5xFJoH1U19qDA3//LBY+FFNWDt1jzc9UxxKdbxFq\nsvGoKY61XqGj8ymCRsehOb9O8fG5jU+SNLjJjqDxZEv48HFfxMFdbAjA1TkGj9ktYXvsWtn/mAD8\nNjYF4NMgDp4Ig09o/P139MPPZwAMMB1T2n6UeG1mknCV2e8SFE+nBCvLJT3XX37plQnPXxB0rlYw\nrQR2vYadTBEsl5Rpq6+TvnmVVrRrNfdTHtuAM45howg46sMeT4EqgVF5ECAhUFdcqSwW/PPzjyRg\n5jMAAc9rFBPUrRbA2PVvypzOtapZYR4O+O8wBropkLS5isxzqkIU4Y0A2HeG08K1zwwMwxmDgGC1\nPySRs5i71WAKoAbigEGIQQSUayKQwdDZFhJWqwGYXu9yl8WPXVIZjxEsFyROeMTAcsG2jDsSBxsv\n/67S/GYewqtXsKcnMMeuKfxqCezv0Wpwft4wMoMdS3pdF5HuLAgvXlAtIkCfuMju9YrZBXXlWqIG\nDEpcLX1exfFbqlNGQ4Yv5gXM+TlQlTB/8zugBEmFMARaHQAV79t2m9dJ2mMuiVa4KvtlPeB0/mGt\nLJ/GjUPVfj0S1ZpPgh0BEbWXU3VWyoCiILAECLrSlNOlDgtNbzngAZTS5QVuJXcHPl8J9fZtm6as\nxk8ml7sNaFxceC9+p8OvtCxj3IvsHNvKCxEGZcmvRAFEBSmq1aMq/krTB3wjmvXag3nZUBTAJ9Ct\nzgWS7R8ceHArW4lIEOUdCEg3/fUilLbzCW7zmLtppCnw7bc8VwLugCdagoBuvCYnqfOjY9tWOYin\nFIeteVNGhAg2WQSawZPA5WMTQBcpNpnwXFvrz7UaHKm7hPjyt299hohaKMaxV/ToWtBXu5QKWebv\nT9cd9xJJ89gBo/cxPknS4LrxZEt4/7iN2gDYnTi4KzFw3diFMHhsW0JzfCoWhbuMT4E4eBqfyOj1\nSACgInBsJW7VUgPtmO35uq79Wn9IUFlXQNJhezgLgpXQmWnjBKhyfuEvFjBazaxXrGyWBUFwFMGG\nIQws6rLyza4/93EV4Ox3gGdscm6tpbQ8Cgn81zVw9AzWvmFl3hgqAGZjEjKdHkHlZAIcfUMfer9H\noJ475YZ6qGWFqyBHBJNRROA8GQMIuN2BM93WIMmQ51QJFC60sdNxADTg5+Q5AaixtCgcHMImCVBZ\nKkgiQ4/+s2fcj0ELdl68sxLiQukjlFRq185SHRCapZzZzNlmPlAAACAASURBVEdYv2/cdhXdtKcE\nAW0ceQ6cnfPcxW1gfO5WnH0C9MGApE2hRvIRz3HkCIEo9GGUec7XdUMqTmzF854kwMWEKoV67TIt\n1rxHO05/rRKyAi2N4aq3lQIwgC15f1uLutcnaQFcJl+iiEGJtyFfnsathjzbvZ5vuadqbBzz1tQl\nrPaAAkAiEgS0ul1PDiwWvHzabU9C7O9flrMDHiA1wwR/KxJqgMc9GvmuCcZ4S4cImYsL/gH42osL\nnhfZCJrt/vTzqiK3JmJCxIGsJMulr75L3i71AuD5c4HPZlBeFHlwLJJI4YPWcr7UNUN+eWM8gSD7\ngD5n+7F2H2RBc+jRoutI21arSykxmq8H/HELaIswa5Ih7bYPeGwSOALgWeY7iQDeYqLP2bZkNIMg\nOx1P8iwWnvTQeVZehIIxRRLIvgJczslQRwXAd2JYrfw86fXbYZCf4/hsSIMnW8KHjZuIg5vGfZMF\nwM2dErYJg8cetw1E/BgWhduqDYDHIw6eVAaf2tBKKGQwYdIGohUBbafL35fu23S1ILCMnXR6dMgq\nZ6/HQL7EfRuGCex0BpPEBKatFmwU0ecNwGZroP8CMG0SBr+FZsXNsb0SCwJYE8DoGNvtTZXfRq6K\n/MaSMEja1JcWuWvDOOPfYcwKf2iA7oBV/9AQIFYlO19kK75/0+HAGTuj2KcvjYb8XRgAlWutWVkC\n0n6HdpNO13VSCAlc2ykw2mcJ66uvgBcvgTCEPTuHmc+B0RA2cAA3iYHk3ZXozkGCHzrOzxG8fcv9\nzjMC3sEIsEAQBqgfSmLftKdkOUmhTgrME4JytVh88dKVBjvepFsWjtAZUEnQavv+cEEALGece8WA\nZy4jIs8AGOBgH5C2o7K0uZyeAL21I+os1ST/f3vvHiJbdp15fvvEifcr3zfvLalUpbZGEnSXbEn2\naGaQNbIprK5mekwjWtW2DAXGYMaDZcpTshFIf3hGJRemBoYBydhgIbCgPTVYjPHQZvyiPdjdM8il\nGlq4KEulV6ke95WPyHg/zp4/1l65T8aNyIzMjMeJiO8Hl8wbjxMnzj7n5F7fXutbR8fuWoO8z0Dy\nmJ0rV1QsSn424Ge66aEpYRBcTnwhE/Pmmz7NWwMuDUo3N32QaK0E/T/8oV+h1dR4rYc/Pvbt3+KB\np9aJV6s+uFNRQIOqfv+sDckyplDravOojIOHHvJp+cZIecbBgdzeNNBPpeT03tmR43Lv3tlMgXin\nBcCPk95eajXvU6CtAseh+6GZHvF9VnEj/h30NRq46v/V22CcJ8E8x2/4s7VtYVyQ0mBfOyBoZwE1\nmiyVfHZErSbHVoUZLVNQkU2zM7T8pNWS3+/dc9ps1pdktFq+LKLimjWp4NBq+c/VwF9LKeLtOrXE\n5LTBUM17F2vGSaMh21RPWT0GmtkTLxeZMJntTBZFUlgK0WCcYMAsg9GMyjYYxaz9DUYxTjAYV5KS\nhCyDYUYF4PNesb+qcABgbpkSvD4TSEqXmZwr0yDyK52pFGBCCUJOjiUASoUArKx0tlqSnh5Y3ww6\nSEmgEhgY5+SOVhM2lTp1njI6W6j3VqdZ8XloQKnGhNmMhHjtNpAOYe/cRXD/vhx7Azn20QCSDuBe\nFxgpO7BWMg+sc+fqdYFMSVaua0eSLWJd1FAqutR1yOw3lwPCrHTFaLXFj2D3XbJfxaIEtO22fP6b\nr8u+7N+S13W7wEMPw1Yqfnlkd0c6ZGQzMEEghpblEtBrnP3+8yo9OTpC0HCdHzp9Ccb7fSCoAZWq\ntCCMz/ynTS4n2RSHR9LVIJMFHn3UGYbWpNyg3ZLHNzdFqLl3W8b21ttEjOu0JId3MAC2nZNWc0PG\ntN4UYS9fFO+JwPji21JZPAlSRravZTCFAoCudE/QQnkYEYXSaZ+Hns+70pPgdEkwwOjZaWAwO/Fl\njdnb80ZuqZQMlw6h1qurbtRs+h71mp6uTvVq2pZOe+f5dFpSx9WzQMsZAC9EqMu8JrboJbtsgkHc\niT9eqx//jhpkAxI4Pvww8PrrElhq8KqdFbQ0odM5m2kQR/U9PW4a6MYN9kah5SiayZDPe9sgY2Ts\nNJ1fPQPqdV/+8IMf+LaZmlmQRPT4634bI9MFDaTTad9yst/3Kf3aLaHV8p0tVODSbIByWcoH+n35\nqWOkQowKCOWyX/0fPp/VkqYeC3u0ZEfFiHTat2LUa0e7LGhJw8aGH69Ox1diavaHnhvaWUFLRy66\nvuLntLaWTEpiZuJFg3Et94YDkqQElElhkjKFOOOEg8Lf/NupZRuMMz1MclmCfvb7g49eGJQPM09D\nxMuwKB8DgNfpwikWgYN7LqBpSERwY19mL0Vxa0c08LPSZktWvjsdqbverADbu7DFEszb3w575w5M\n1IdpOlcvl1do+gMxOtSgxFrYdCY5f/nmgG23YTpdyQhPu6boBwcwr/6juNn3e94NDUY6UxTLQDEn\n2QKact5uQzondIFSVVaV1ZEpnQHCimwjcnmulYLUrfcHsuJtI+mSUXM+FrDi1t/rAdu7UpoSZmTs\nG3VZFb9xUwSBePBv7enSqNVc22oV9qR3eSPB6xJFwD/8A3B0X47l8aGk729uSVeCQskF1r3ZRkHZ\nLEy5BMBKAK+FsQ3XpUT9I7Y2gc1tKVvZ2QbuHwL37wLNCMimgSDtfAvg2jB2gEFHBIGMs2wvl+Q6\nzLl888MDOT9OGpJxkHUz3K6bhZdKkmlSLgO9AeygB3N0BJvJwG5u+dlopwNjI0QnJwg0/zl+qC0o\nGMwANcnTwHbgbrvqst/rSQCrgYumuGst/OamrLhqW0UVDVQjiyJ5rlz2NdlqpxI3cIvvDzB9vW9c\nFsA00JXg+PdQ13s1tVMhIZ6+H4aScZDN+pXh+/flnwb/WvM+Cr3XaXA7XMowDhVvtPxA9yce/Gsa\nfKnkHfnVtb9Q8CvcahGkgXHS0CwPPZ66v1EkCU96vvb7vuRDMz70HOx2fbmOXgflss+80GtFn9MS\nFEDG5tR31pV66PmgAXy57B/XLBEt+QHkZ70u21FzUW1tGW/HqcKCliLoeBpz9tY5qWAQP6dPpwhI\nxvQp0aLBsGDAsoTrcxV/Aw32p2F4qFzkY7CMaLaBlijMmqtkGywSXqcJ4MaeBFr5IlCvuT5SGQkq\njw7l/2otnSu4dn5NmbVsbQG7N4BSBWajAtuPYEruL3hg/F9YwJculIoSMFerQG8+2UwLp92W9niF\nwmlDbdNqA3fvwPRcG8tsToL5wEgwn89LoNjrAmmXL5kruNIAlzeZTgGdgYgD+QLQT8tqc68v/hNZ\nl2N565a067tzx5nrdX3aeasls5Gqm3W+/n0pf9jekMB2ZwdIpWRluVAEjIEZDE7bZJ4JNA2AY5zO\nviwwm8hgFP/u/0Tw4v/rck/bUibR6QJ37kr7z2wW+PEfh4mi2XorGANrAsAEMJGVLBz3uHp5oOhy\nWK1rCRlBMgyyWaBiJQug3ZZx7vVk7HZ2XUTQku94eOBnwY0a0CjKeO/flGyft94S0anjupxkC7Dp\nDEyvD4sA2BK7b5vNAsWClM6c1AAY8cNAAFOpisgEAHBZgDqzpmgwdbSNXy7nDeyCQCwm1MF9Z8fZ\nWByKIZ6a3alPgbb9a7e9ozzgA2E99TUjIZv16dfG+BXN+Kr8NAOTcVkA00BXi4c7hXY6/jP1tI0H\nXXpMdnYkwHz1Vfn/D3/oV5q1pv28z9YShLhQMylaNqLHQ/dTjRm104V6MGhwrWPX7fqmNjp+SUR9\nBFTYUINGHYe4t4EecxVjtHOuZn2osKZereolEQ+q1ftAjQi1BEezCLQkRF+rx1vHXf0ljo/lNZoh\noVkFKrxpuYH6YwByzepnxK8z3c4kCXjjzukkeY0kVjQ4TzBg2vNkXLZMATjfGPEqWQeTCAajSEqW\nwTiSYoiYROGA12eCKZUlNbqj9c9uWabdkpVSZ+B32mYxkwV2srKKm81KINRqIop6CG7m3Ap3JPXc\nuZxkJrTbUpMNl12gs5t1QP/q6/ftSE6xqdVg33hNjrk6b53UxJ8gE0r6+c6OtOlLh5IlAIj5Ybkk\n5SJvdADTFbf7ZlM6Lqj5XbUsx9xAxIZmU4LQfg9IAThuSBZD37XeC1LSHeOtNwAEwKAn24Wb1XU7\nUgYfGNjISitGJxiYXle20Zb8zuDwBFGYllnuPJZC/p//gOBb35LvF0H8DO7dA/7vfy/CV6EE/OnX\ngA/9V7C/+dnZnnu6bZ0ttp0xZRACtisBebHoMnuaco3dvXPanlSWyLKul14GiFKSdVAsyOtSrvyn\nWZfykwFga8cwqVDKW0rONn9/X0SDvLtGd3fl3NDZeSoF44rdbbcnn6VmmDk3E92owkK2j14PUa/P\n7gkzRFPQAd8l9ejIm7SdJq005DFdIddOn2qQl8n4lnKamVCtyk/AB2lB4FP19bRVwUK3N81LZVwW\ngH7udRmlBcZvv+MMHuPp4/2+/94axJdK8riuius+D6OBLnC2M8NFqAmiihPq5F8uy7jdvOm/l7br\nKxa9Jl8qeWFEzfaSKhoAZ1tiAhLwKxq4q1gQT2oDzgb6Oqa68t91yXJ6Tne7PstAj5v+VO8PFceA\ns2UPgBchdOw7HV8WsLXlt6FiXKdzdmqjpQm9njej1IwX9TWYpJPvuGswKaVDiRQNLiMYJDGgTCrn\nlSlcRjhQxgkI48oQdNv6eUpSyxJGsSwlCosSDliWkHCsK5yEq4UeDFwQ61a/+65YstNxTvsZ739w\n86ab7QQI6k1p1ZjNivP/oOdauWXF8G9zEzbey2tdiM/e2h0JsA2AThOm0ZQgMpt1OcJGRIFuF4AR\nU0J11B+40oKBK1Ho9cTQLp2RHNr6iZ+NhCnJNihkgJ09YH8PeP0N19bxxM+AajUJKMtVSedvt2UM\nw7SMfaF0+rlBLi8r9KkUTApAvwfbgivADvx3CyR13gz6QLcj2QazFA46HVkazGWAbiji1/Ex8OLX\ngdtvynewDZhsFvgPfwf72/8T8D9+wS9ZTZt2GyYVSJlGAJjjE6DdgrUWplyWsYys7GeYgS2UYe7f\nk+Ncb/rlTM0/TmeAgjs/bt+RqCCKpCyo2QCaLZjAAL0ubKcPE6SkFGJ3xxkxNvzSnGvnaMIQaLh2\nm+qElw6l84PB2UyMjSpMqQjc3AdyLWYYzJCc05PUfE/T1HUVs+XsLoCzKdZq4NZq+QBF06V1G2ra\npkZyekmqadusVv+VeayYDgsD+rnx1d1Rr9fHNT1ej9+G65Da7cpxazTOP/3jQkFcQJiETMYb8GlK\nfakk+xDPhoivhmtQWyrJ/9Xost1efCB5EXGhSlfh9dwLAt8aU0UAPQbq/6CdDHRsNOug3fYZBfHO\nIICIExrgZ7PeP0TPmcFA/n9yItdZteqzRra25DkV2lQQ0PHSDIO4UaF2blCPinTaZ/dMmoA36pxW\nkiAYAAkUDSYtSQAYiEzCOPf/6wgHynniwDDDXRKUZSlLuGoXhXkwbt/mLRxQMEg+NhvCRCVJidfW\niIEYGUrBa1P+YqZctkE+J6uRlaqkPbd7YjxnIwlI81mgUJZSh1QayKRhM1kJYDJTmBkuG8Z5Buis\nud8TE8KjEzleGdemsn1PxJjI5Rvv7gPbm4BJOSPKmmQGBAY4vC/LK8b4TA51tC8UJTBtNSVLpFSU\nletUSmrdIwvs3XB+CSUZp0ZNfh/0AGNlfyMrY53PA80GbLdzdsbsckxNYGIRgX/efevZ51B2OggM\n/NLN7beAt94UI0dAvh8AHN6TEo43XkfwX/yXiN73fpkVTnPVPH4cclkguwu7tS2r+c0m0B+ImFJz\nM2IbwaSdV4UdyLXX6UjGAAzQaMCWKyJ41GrAGz+U9pmNhkQ1Dz8q38FGQJCC2SjKDNVYyWhBJGJK\nKgROajBt5woWhEDtEEAAFHMwG9uwpaKMl8UDY2WNFk13pnesyAOoo3sYynBXKt6bQHu8Az6w0tcB\ncutWM71OR4IeNVOsVqWUYWfHm+3Fia/8zqqaaB4rppodMJwGHjc/HLVPuvKsKe9RJHr44aEcx8ND\n/7pMxq9En8d53RKG91m1Xt3PjLO7UWd+7ZoRht7Yr9l0l749m51wXpCZVFSg0pKadNqvR+hjmlWh\nBomaTaOZANplYXdXxmsw8B0ONFh3TWLOlC9oZo92pdVMmM1NL9Rp60vNUlCzShXc9PirH8LwdaQm\njPE2kZMy6pwGJittmBeJEg0uEgyY9nw1LipTuI5wMAnjuiSMEgySnGUwTBK6KJzuy4KFA16by4EN\nQphSGuh3xIANbpaay4gpnoVz9elKKUOhJMHkRtWlvmec6VoKSDkvhFwWCLfk+UoFtlQSwSAJrj3z\nxhiXZl6D6Xak/ECDynLF1aSfnPoFoN8X1/wbu5Jq32qKSaFxpSNN13T92AX6mRCwbpvNJtDpAdsa\ntLrOFLfvuNaJru9UWsQc9LsuIunIvqRSkplQ3ZTtRgMpSxgMYLZ2YIeW2bRUwRj74ITcfXcDO1sP\ngWwWUSqFoFwFXv2WzBTv3Bv92lYLQasJ/OmfIkgFwKM/Iv0ppiUc2KHjYMzp0qoplWBP6sBrP4CJ\nBn72mQ6lDKTXk24KrZY8Vj8Gdm7AYAC88ZqbIYd+aavREgPMStkXMWuPr04XgIgSUpLSlW2HoYgO\nG5siLPX74psRnsisNu2u/6TOTlcc7WJZq8lpo3Xq6sSugYgGNmr2trEhvx8dnTUZDENvzqYBkwoR\nw8zaemReK6b6JyaeOVEqPZjhMHxa60p2reYD+Z0duSzKZTm2YehN7nRMrhqgq8BTKHj3ffWz2NwU\nY0D9XQUFDZiNked1O/H90gqnZRQO4q1D9U9NseitW9T8U4N1DfxLJfm93/fXTj4v793YkPNfBaF4\nuUqrJWMMOAuZ1FmRQAUZ9TYoFLyQE0UixOl+aumPihKKtV7Qu86xAfx+67mQlOlUIkSDcR0S4rAs\nYXoMlykA5wsHAK4sHlwkGAzvl5LE8V3WLgqzFg7OEwySOI7rjGm3EXU7COoNSWm3AzHOy+W9l0HW\nzUL2b0jwf/cucO++LxosFkVMSKcl0G23gWwetroBu39Lnl/noCOXg01nYFstBOlQVvGLBSDYBw7u\nSwp5JpR08WJBulcUS5JdkM/LeNy+I3XsjRMJAPtdMc/r9uXYh27JpHYingfVDRm3nV3pJWYCGavB\nwKW8lySNvdcD0JUAs1gC9soiQGiBaL8PW67ILHV4BRpGhIheVyazp0/4vE0bzTiHMpsFHn0n8IPv\ny3GtnwB33hzzYucbcHgf+O53gY1tKRP4p4+dzWO9KsacPQ7xT263YQp5mHLRtdZ0sz8biWjwve+I\nWHDjFtA8cWJdKALAwYHMjPNZoJWW67TfBd54HSjkpINGGMr49XrAsZslF7XFZk9m04UCcOLaLOYL\nsmPtNjCIYFttWaZzS9WnQd48Ol8QAHKYu13vGr+1Bbz5ptw+1Q9AW9KlUmJbETf363RkaE9OzgY3\n9bpcvhooL4J5rpiOypxot33wPa4Ewxjf0q/dBt7+dlm1brVkXPS46zhpi8VJswoA2bZ6UGSzZ70p\ntBXf/r6IBWryt7Ehr9HAdGtLgl0tX3Deuqdt/LSl4bKhIsqwWaZ+9+Nj712gnUbUILJWw2lLxzCU\ngF7bk+r4a0mD3nq15SPgO2nodaOiwsGBP2fibRubTS/QDZ9Lsyj1iZ/TlYrPOkoCCxUNxokFF2UY\nMBC5PBeVKQDjhQPgcuLBqFKEcYLBKB+DVWGeJQrA+SUUsxIOKBgsF6ZZhylXgJ0b4tp+VJOMg3xB\nZp+5nNTZZ3NSbqBp6+m+rF5vbUlQ0h9ILfzWFjAYwG5swqrcv4wzmGmTy8Fsb/tllI4rGQhTEtCn\nIJ4G/b4rO2hI8AfrArxIgrp0WmaS0UCEBgNgkJFjPxgAlUh+73Rde7+OyyhwBpR556rWagLFvJtx\nGuDhd0jrv0bT9WNLScaDCSQLQle4ldiMyBoDpNuuE0QEq8sg81ql/vH/HFGjgSCKJKDWmfkoej3g\n2/8omRov/wOCd/1niEwgXQf296+3H6eRUffsd44iEQGCAMjkgTBwqRiQ8ols9qwLXtotH1Y3gNdf\nkzFudyTTZ2Bl3J2PAdotySjRIuduT67PKJKIZ2NTtlmpynlhIxnjbE7OiVwO2NiUTAjNe89mfXYI\nr925obYxaoKnwWur5euxg8CnQHe73pgvHgTpyqxestmsBJm6erqoIR2VBTArTWr41M3lJNjSev/h\nY6CiTKnkfHudIPDII3I7fOUVOaavvy63TDWT1FVsbeU3ziQRkOf1c6tVuWTVxwDwJoyl0lmDPTVg\n1FvpjRu+5CS+TWA1EoPGlctotoz+aclkfFtDHRNd2dcSHBUMajVv/qkGl2rto+efXl8qwuXzXpTR\n/QL852lm0PB5NqtSH91e0sZ2bqLBJNkEQPJr25eZcWUKkwoHwHhvgvO4SDAYtZ/LQpJKFID5Cger\nKPSsPN/5DnDrIfEcaDWl7ODk2M1CU9Ln/qQmQUe9AfRaUkefTkttdBAAr98R0SATAls7sA89JCvm\n6+hhMA5jYHN5CfS6XZhMBjZyVsuFPIxElfJ8NABgZbbaaUtg2Wy6Pl7Wz0wCZ1apM/DBwM2MjIxX\n1Ade/baIDPmiZCAgkpR2nW0W80DOPbe5KTNZbVwdBIhSaWBv7/wVaLc/UasFlLJApw47mNAeehpY\nC/yz98GeHMPcvQ289OL5rz+uybl5fAz8w39CsLkFWCulCtcVDnK5Uy+H02OVTsPkIedAJgMT9WWM\nAAncmw25/g6PnaeIAXppIDgRQaBzBzAdwLrOGEFaxAALKTNJZYBWQzJHwgCwbok5X5DXBSm5Pu/f\nA6puSS2Xl4ySdAY2SLk2kbFCcF63c6dcllNSa9ad/nrqU1As+nT7fl9eq1UuWvMOyK1ZU6kB73+Q\nBOO0efgnjCJetjHK2yBu0hh3xdfAfXMTePe7fbaH1tNry0tdyT4PLR3I5UT/LZV86nvadbytVv1q\nunawKBblue1t2c5DD8nrymV53XCLzGzWr44veryvyqhxGhadtDxHPSFUSIh7dqh2HG+D2el4w8tu\n1x+zXs8LEfrZOztelNN/2awIBnq+DJ9b63b7TER5gjIq0GKWweyYVDgA8IB4MAnDLRXHCQZJL0uI\nswwlCvMQDi4SDJI+jmtLJi218mmXHt/vAdVN2EIBpvp22HQaphcBd+9JVwQLqcvf2ZOg9O4dkeND\nVyOfMjCNBqJmSwJXIuiSX2D8Sq6zNrd7+8DBAUwUSQlCt+dngXdv++VFI0EerAUeeYfUvbf68p56\nA+jD2We3JIOh1ZHZbhhKtsDWlqTx12qyit3rAeVNmTUd3AfCNGylDJTKMNWqlBZUKn4Wdt4KtOaW\nVkuwnTnPnKyFSQUw3YHkc19EvQbcvCUZB4M+cP9AhIZ3vgv47/776xWgAqez0LiXg631xDSyUnYN\nvHuAAWw/gklnYYtluc6Oj+Xzi2mcCkd7e8Br35drLBqI0JPJyLmQle4kOLjvCt1dm9NiEcAAQOB9\nNbQjQ68DdNtAJdY2dZRTHJkr8TRoTTjSOndNm1ZTvoFranPjhg94wlDEhngNdRjKsGuQlYQhnndQ\npenu6ic6rGUOB9cqAKhPQLksx7dWczpuRx5XIebePW+Id553QxiKWKCmffW6jI2+T30StHZ/Y8Ov\nfu/vi1CQz8stXfdZ/RBUKNKmOOO+67IzSnSKZ5CooaGOg467mhfqc0HgRRvNzlBhIYr8+1RDjxuR\nxhkupVi14z0JiRENKBjMh+GAchLhALiceDAsFuj2TvfhnBaaq4JmG8y7RGESdH+uIh5M8l14nSYY\nk5KZ5sGBZBlEEWy5CvyTH0H0wx8i+OY3xXn+pO4CESNt+Q6PXRlDFnj4n7guAGlgoyJlDCrns0Wb\nZ3gVOnKzjEoVNgyB42MYGwHFlAR5/T5grJSEdLtSapAKJfujUAB2bwB3bgPRtgSCxzXxOYBrsdds\nyYr67p6sOmfTwOa2lJMUi85ZC7LivLcDhEaEi3QI61zTTJiC1ebUk8z240XW88IY2L6IJ8ZYOUaD\ncwqNTQo4ui9dLLQ3XbuF4JVvIvo/vgb8q49PZZ/OHCstW4ifA4OBBBibG0AtZozZ6Yh3Rbst43br\nIdheD8YY4PCuXIvlMpAvydgC4pNQLctnpl3nEriMlYLzL9jaAFIZ2FpNBKggBZtKybbWbaabQLQf\n/HD/d2MkwNzacvYxsSyC42Nv5ra7K6eMBktqfKgel+s4xFp2EC/t0BICPR7xQF/LPvTyVZ8BFV1u\n3AC+9z0JyAdOo7RW/oSenMhxbjbPZh0EgS83CUPZngai9bqMebks45vP+1uoOv6Xy/Ie9TDQ86LV\nOtucRvXG877rKjB8a43/yYlnI8Q9B/TY52KJeVrek077MQfkOOs1pUJEEMh1p5/d63nzxLjGvIrH\n+yIWLhqMS+OmYDA7zluJPk84AEYLAudxXkeMZR/jUYaSSWGSFpGXEQ8mFT6WbQzXjnt3xMxuY/PU\nwd/k87Avv4yg35EgNB3K6vW9OwCMZBmYSNKi210x49st+KLawQCBjRBRNHiQ4VVonalsbMBmMrB3\ngSBMiclgoQjTc5kD78g7A7wBUBAfAbu9C3TaCH74mvM5iGSlOYC0Huy7oLHkmr/n8rLC3ajLDCiX\nl9nT0ZH8ni9JYBuGMBrc6qwpyYWyxkjLwW4PKFf9rDoaky9sB2Lmub0nq+xByi8Vfv0/Aj/zz51A\nNkXiYkEmAxumYcNQWjC6aw6BERHj+FBEj83N02U188ij8n2qFe/Ipstm7S5QdrnrsJLhU8iLKWY0\nkG0Vi64bRx2mXIJFIJ4j2oePLBwtP9BARA321OtAu6wCZzskaImCrliXSiIWAL6+ex2HeLjsQBm+\npZ1akfTOigcqGPT7IgRsbspx1daYBwe+i0U2ezb4v/b0FwAAIABJREFUVM28WPQCkGYTnFqXuIwC\n/ax4lgHgL/98Xn42m/JZt27JtrpdP7ba+WF4pXsZbt/TJl6iAbhuwydn/9zqtaLimp4jaiSpZQvj\nziFAtjnceGcdj/dCRIOL6r2TtjK76gynrA8LBwAeEA8mYVUFg0kC8lHMu4vCpPs5rettmcZwbYkg\nWQMwQM75EKAJ891XpXiy3wMGblbSd50UMmkxa8ukgWZPhIUw7WdDFmIuR8FgNONW7AsFYG8Ptts5\nPXa2XIbJhNLasFAQsSF0/282YWCAmw/JinSnA7x5GwgiEYDSGSBlxETvrdvAjT1XuOlmt+m0ZC8E\ngauxd6v0vT4Q+qbwMilNeIFsuYxoa0vMELe2JY+7c8F9rN2UVf5cXjpSFHIIWh1Emoc8bUaWLdRg\njOu6kHNW4M26RCeah5tOA4UM7Buvw2xti/Az6AItF4n0u8DeQzLWgGSPlMtAdUMmx5UyzEldjke1\nIqacgwim20F0fDy9lpPkWqgjP+CG1bWQ29uTevZiUYJVdW9XX9Qg8HX1zaacQhrkaDC6Tiufynm3\nLA209Xk9PtplodPxq9WaraAmeRpMqq+tuvKnUj65rlaT7an4k8/L72psqavV6vavwWapJNuzVjIH\nbt3y469ml4D3VBj+rhqwnvdd1wEVaHI5f/73er7zgranHOVDET+O446bPj7q+XU73nMTDSYxhhsX\nvDAYmT7nlSkADxr8XUY8GGV6uSqCwVVYZInCVQWOq3wOWQIqFSC1KbXWlQpgIMZs2rR44JzfcwUx\nSsyVJD1eA5xGQ9zaQzeDiawEsNUqRYOrkM9LN4JOB6bTgW21pBY+n4dNZ+RYt1pA7Qjm8L54HqQy\nkm6ezQAdtxyVzUuA2G7JSvO9O5JNkslJ60xdtmoEwKAphosBRDRKpYBuDyZMw1orq29JnwGl08C7\n3wu8+z3A974rQfN3Xj2/TKHVAvZuAJtVOXbZgqT+zzLCGle2oD/TaRHgyjn5GboMiEEfRnOWyykZ\nr2xHSkv6fSk5CXP+WACw2ZwIKAaw9QZMpeJntJmMX4JTG3CyUPp9Wb3e3PS17pqa3u0Cb3ub9z0o\nlXxA1O8D9+87v1PXclFTstdx5VM5z19gVFAXX6HWLA5tudds+nT2wUDGJ5fzoszBgVx2vZ4E+PHU\neGPktem0X9nWTguaMdBqeZO9zU0Z91RKhCFtQKQZJZ3Og5erfpdR33mdAthhVOCp1eT4a2ZIPu+z\nCEYdm3jgP+ocOk8YWLfjvfDyBIWCwfy5rHAATN4FI76NOKuaRTJpF4V5ZxsAsxcOeI0uEelQAvyd\nHVf4mpf09f5AVp3zRZfOngeOAylLUGO1vRuAGSA6OEbQ6wGDCFGxCNy8ydXL66AzHViY/RuwLj/Z\n9LqI2i2YbA5Bpwu88ab4FvSOpZVfPiMdLFKBjzwODoFWHRhEsPUTmGxGZqyZjMyEo8Fpej/SOXmu\n2wUyGVkRB5Yn4njvexH9i38J84//CPP978o5ffutB1+3vSOdBPb2gXc84mflrRaidzwsM/ZZMMrC\nXcsWIuvaVWZgslmYVFo8F/onkjHS60tWws2bfqZbrYrQUCoCqbT4HoQZIExJ+cHWNlCtwjYaCIz7\n7Mh6C3dIggnLiJJBNislCE7zOW0j5yq+cHzsq2gAvyKtgajqQPW6b7aSyyWnc8K8iZcdxL/7RW0J\ntYSg0/G3yq0tuS22285OxBnrqSlhFIl+nk6LBpfJeINCdfDXcdWuuyroaCp8EPgyk8BpgY2GCETq\nT5HPy7hryUP8u2q2yWW+6zqgVViayRMv8Umnzw/8x51DwOg/E+t4vBcuGrDP+2KZRDgAcKWa/UkE\ng2Ud48t2UVi0IeKshINlHb+15ZF3ShcEa6SFogmAyAA39gE4O+FUKHXgpRKws++snDekrWIqBN75\nbkTqHBSGDECui7o0xXuAZbOwUeTMDjs+9b5ckvKDZkMEgFYXKKWdV8ExUMiK0NPpwtzcl9ceHEqg\n2e8BNpLskjD0RbTtFhAEsGFaMg+WJbfZGOCf/jPgf/0i7P/+AvD/fQPm3/81cOctWXGvbso5G0Uy\niywWJc2/aeWcf/QRmH/xL2Fncf46m20DKwaY8Wbi8bIFuJKUN9+UcQkKp45sZm/XFTxboB8BfXFc\ns1s7wENvE3GpXBI/DOcOZuonsIMIUZhGEF+ydEQWvF4TQi4np+XmpjfFi7f305XtIPBp88WiiATx\nYKjd9rX4upLd6ZxtRQf4YHeVBYW4MZ5mCZzncB/vSqDammYO3L8vVU+3b8u22m05ptoqcXtbAkkV\neOrOOkZT4E9O/L4cH3sPgyjybRYbDRn7jQ25JatQkMvJv3bbm1rq+Cpq9qetAS/6ruuEej8MdzoY\nbrEIPBj4D7d61OfL5fHdE85r8blqLEw0YMu25DIqEJ5UPJjU2BJYvTGeNNtgUUxbOFi18VsL9sRM\nD+2e/Bz0gd1tacf22g+kn1QYAKVtaUm3vQMcHgBHR7BhCLt/S2Y5WmxJro+1fqIxNPsIYGHrDQko\nbQR0pHUfiiXJFrj1kNTEB0Ye7w9EUChXZHazUXXN4GVJyu7sw2gA2+/Le0we0a4rpF22GY+u3H/i\n38D8N/8tokceRfCX/5eLtlQYA7C1A/tTPw38yI/ANJqwxQJw622wu3vT/87tNkyvK7PTTgeBAWyj\nAat26MDZ2eXGBqLXX0egDmmAeFRsbsF+/3sw2pfPRZMmnYZtNmCKJdhKFej1YPp+Jmy0EHs4ctT8\nd4oGiUCzA3o9+b1QELHg8FCEBB06rW1X71NFvTEzGX/LiCIZel3NjgsL57UhXCW07KBcHp+OrsTT\n0dXDQNnelstVM0J0xf9Ua3VZCPW695tQDf3ePfn50EMybjoe8XaLxaL8LJdlDMtlf4mGLjLrdHxX\nhVEBq+viO9F3XTdGtWtULmqbOO69ox5ftzaMcxMNLrPKymBkvowKJsetoF8lAF4HweAyLKJEQdHP\nva54sOzjNw+fh0QSZoBS2feK6nRhc1mYVAA88qj4F9SP3V+/HGzKwLz9YZlBVasw6TTQ60qgtsp/\nGeeJGuO55tAGYiuBdBrRIEKgrRe3tuXnsTP9swHwjoeBu3ckOO62gV4kZpfbu+JJUSq5/l852GYd\neOc7YQfi/GWysgpuM+nlFAwUXbkvl4H/4TcQPfpO4IX/DcH9e0DUQ3TrbcDH/zXMf/1RKQkYDHyf\nsvSUm9nH8sdNryulI5CEHjTqsGqPHieKEGxuyP5orrJbXjaVMmyYhhlEkiGUzTljwwFsryvRSK93\n+jmny47VKqLDI6DbQxAYyTAol1lGlCDiq5StFnDnjgSPegpoMKv6bDxTQN+vwaw+p6vl8YyCSdoQ\nrhou8ebCS1uzDNQwT9HgD5BsEK3uajYlO2B3V47dyYn8v1yWbQDePFHLFHI5MTfMZoG33vKmfGHo\nV7+jyN+Cm01fg69eFbqdUYHspN91HRm18n+emHDRe4cfj19byqpfWwsvTxhm2YORZWWccABM1pJv\nHKssGCxbiUKcq2YdLPPYra1QEMNuSZ96A8C6BuA2sjCtlhioDXow5Q1pyxikXIu4ALbVklkNsN5u\nW7PALVGYmJ26AYBeT9oy9row2ayUGGjBrbXA0SHw9oclkISVJUprRUBod5xDWk5c9nM5Sdc3RsY2\nG/MwyLhZqS6DLeOYxvf74/8a+NgTiO7ckeO5twcUCrBaMhCGEiCkM9Of2VkLAyccpM6u6BtjZB/i\nS8AAEASILBDElzpd1oHN5IHtLeDwSDqYxAt0Mxn5PoF77OgYODmRkggYmGIR9tYtRO4zmGGQPDY2\nfO18t+uDyEJBgkoNHu/dE2FBxQG9VK31Jn1q+AacNXWbpA3hOqO3ADU2VL8AFXS2tuT5zU0vupRK\n8pp+X8ZpMPBjVq/Lcd3b8+P75puy7XLZiwaAb6+oQs5gILdxDUQ7HV+yACzv7TlpTOM4ruu1lSjR\nYJkDklVgXCB5WfGAPhVnSYoh4jDxz78ooF70vl4HigUxXLGktoGzzRZMLgtbEJtmc3gkzuxRWlLg\nG3WJYHUpRlOgzRK05VsWdCwy4sZ1mjKrs8lyFWicSJZB2jliBa63V7vjul4MpDQhk3GuXCkglZPA\nuFIBUqFsPyu5y2c+AwBqtbOPLfsySakk/+IMt0CcxblrDGxkEYzYtAVgAvPgdRMEEk00G/K7RpBR\nJOF/4Dpl9PuAsYAFrIsoTRSJ6HdyDHN4cNo9QkSnjmRfbG5O/3uSa1NxFUSNhvyeTkvgqXXy9bpP\nS280pI4e8EGJmuCpeaJesvEabRUXRnGeI/y6oavPrZY30FOPgFJJjvf2ti/v6PV8B4tSSX5q1dfJ\nifx8+GEZ05MTGYeDAz9W2qFBb1HqW6AtG7WzgooQxiz/LXnVuEyLz1UiEaLBMgckq8Z5K9DDYkBc\nRJhkBX2Vx1mzDUb5GiwDqzo2FAyGqLn+XDntNQWZqRQKMnPZ3JTAQ/tNudmLCdNizOdWK5eiLd+y\noJ4G8QwAF9SaRhNWg8P6CUw2B5vJycp5r4ug0ZBMglpd3t/vieijzdwDiHCQTvvIIiYaodM5m0YP\nrHb5yayX6tzs3jYaUpKguMyAU9PCYTY2JCPg7l0Eg768rlSGyeVgOm2ZgGoBMyBja4y8LpMGvvc9\nGet4poIWV7MdaiJR48N222t3eomqmNDrSSBbLHrn90zGeXoOZGgrFR9oDtdUx2v2h1nVoOaqGCN/\nBjW7Q28VLTe1TaVEOMjngTfe8KUNtZo3Smw2fTZIpyNjFIaSddDvy7bUTmZnB7hxQ8a1WJTXNRo+\nw6RclnHs9fw5wvFKDut6bS1UNFjVQGXZmbTunT4Vl0/zT1KJwqpDwWAEBjCdNqJo4IKS2HOpFKwJ\nYLT3V8Glww/6sP3obEDCGcz0UE8D97svmOwA/R5MoQBk0jAbVb/8ZS1MmJYWmkEgs9V2WwSCcgW4\ndUuWsSIrWST5PIy2VdQC2NP8yhFNwFc5v3LW5PNietioS0kC4JcYz/NQqFYBa2ENzpQTWAC21RIf\nAxWDNHfaZaMYEwEw0h7BAAhl6TLodhGpBT9JFGEogaOaG2qZASDDGgQSTAaBN0zsdv2lq6dBoSDv\nGZVAo4HtZdsQrjPxY9hqeVNDrV/XS6lQEI9Z7XYRf75a9VVI2l5RWy/q67V0IZMRUaFSkW2kUiIk\nDHsNr3Iguoys67U1V9FgVQPHVWVabvsc9+SWKKwiFAvOoVyWwNG1gbMn4m8AQGY0pZIY6MHI7CUM\ngWYTtpATH4RBtBrp60nidPbRPVuz3m5L9kAuB9t2WQGpFGxbAv2gWpWskLADRHsSLAaBlDHs7gFh\nKNkhlYq0VBxED8xuzk+v5Cz1ymxswGazsO22lCTAXOyhYK0Ykg4H+LkszO4uolQI9Puyvfh12O/D\nZvIwmfCByNFaFkEnFW3Bl0r5W4ASue63YeifC4KzBm7aKSFuiDeKy7YhJIJWCamBZLUqJQYq4hwe\n+lIFwIs6xaL8P36cMxngve8VEaJWk5+ViphfaheFdttnGeg24/AyTh7j2jOu8rU1N9GAwdFych3h\nYN3GfNISBWYbzA4KBhegae+IZAU0HqxaC1TKsFEE2+kgGAzEdX1LOifMtBZ83dHWgeppMIhgMmk/\n+4iVLhhnly7lCs45Le1q3jsd2F4PptkATGypctTyRzzDYQiWn0wB13B94uvmvPGAOY1GHtheKgVb\nKsF02mcFh8hKxsOwUxdJBOWyDKmmuGtae7vt2+jV62ed/DU4GQxE3x1uxDGOy7QhJD4JK345qV2M\nBv0a+Gv5QNc1M6lUfGdTbVJUKsnvWnKSychlubt7tqmJZiSoUaK13u+AY5ZMJu3GsCokwtOAJJvL\ntulbN7HgOsIKsw2mBwWDyTkNCjVYPT6W2nYL2FwW2NlBlMmcdV1f9b+GiyZu1AfAnpycDSDdjMS6\nFHRTdFkhQQDkc+JX0W7DbG/DptMADIwxiBpNny87vL3hDAdg9fMr58llZpGTjsfw9owB9vZg794F\nGg1fa1ssSlTCcUwsqZRPRwdchVH6VG8CcNpI49R1XzMMJhUMFGPYmm9S4gFgJnO2q0I2Kx0VajV5\nrYo8+bzcZvN5eX5/3ws8gBgnalmJjoOOqbMoOe2ioGOeyXhvA5Jc1kEsUCgakIlhcDs5o7INRpUo\nkMVynXaiS8uIoNDkcxJ4Ggk0xccg4Gxl3sRnH+MCSB2TVCCCT+1Y6t27HckK2dg4raW36bS0VIzn\nPscZznBYle4Jy8pVxyOXg93dlSVNG8Ga4GzkSRKHCgCaAaBGhsXig74Exshr4v8nsyNucqeXkJYq\nWCseBPU6cPu2XHKplEv4Svtgv1LxXRJOTuT1/b43XGy3/XvUp7ZSkc9KpbwXQrxibV1Ws0lyoWhA\nyBTREoWLYInCdJkky2AtBYIhHvAkoBlecrkggLQA0GjCnJwAvT7QbsHk8lIYC5fmPhgArSZsLucL\nqEd8zsxbEZLJuep4cByXip2dB4dJ/Q2G0cfoZzkfhk3uNAW9UPCZIbu7Z40NtdViKiWZBtmsPJdO\nyy1Zu2JoC0Y1viwWvZ/BuJr4dnu96uZJcqFoQMgUmLREgYaI0+ei406xIEalQjO8ZeK8QPDoCAGs\nZBfYCObuHaBRB+5IujoA4M5t2IMDBHs3EBkjr93ff/BzGGQmi6uOB8dxaeh2zwZ+8dXtYXgbnj+j\nTO5yObl9drsS5AeBCACtli9dKBbl39YW8NZbkolQr8tj8WyEclnep78D3r8gjnZliOu9apRI4YDM\nG+qWhMyIi0oRGMxeHwoGl2REPfR5E1XOVBPAqGLkwQA4uA+EKSBwgaJarR8dyvO33wJOThC42WqQ\nzSCoHctMlhCyUDqdsyKBrm4P349pMbI4cjnR2Usl+akZB2EoPzc3fWvMmzd99oC2aIz7F+h7Vdfr\ndEQs2N2V57StZrvtP18TAUfZmAyfP4TMA4oGhEyZq5Qd0MTv8px3zD64kadgMAmcqS4ngwGC4cLn\nXE5EBAug04Y9OnT9vrLekj8ViNig7lyEkIUQzyzQzgnZrF+J1vaIo1afyfyIa7btthgg9vvy3Pa2\nJHVpm0XtUlwqyZil0/Lactn7Hhgjj/X78tjhoXRVqNclgyEuBpyXYXJeZgohs+JK5QknJyd45pln\nUK/X0ev18Ju/+Zv4sR/7sWnvGyFLxXVKFMj0WBexYGr3YZrhLR+pFCJrvepvDBBKxwRpz1eS7grp\ntLRjjM08A2MQDQZsxUfIlLjKvVgDwlH16pUKTe+SxnCZgLZH7PXE6wDw46WabLEoJQj6/OGhiEGF\ngjdF1GyCUkm2pe001d+CJSskSVwp0+DLX/4yPvShD+EP//AP8YUvfAG/9Vu/Ne39ImQluEyJArMN\nJmfcsVoXwQCY8n3Y5WHaUtnnYZLkkkqJP8Eg8o/lcoAJYKubQCaDKLIiGGQzZ94aWUvBgJApcpV7\ncTYrwaIGokHgW+51OmyPmCTOKxOo1x+sIFMxKJsVcaDdlmyCdls8EW7e9KULmllgrWzr4ECyGdpt\nJgKS5HGlTIOnnnoKmYxMRAaDAbLj2jkRsqZM2kWBXB4KBsLU78Nc1lou9vcRAcDBfckesBbYuwHc\nuCHGiW9/GDipnX3PIBKxgaIBIVPjKvfibFaCw+FLkY1rksd5q/rZrGQPxMex1ZJWi4D3MsjlfHlC\nJgNUq1LKkE7L9ns9ERFy0vkY3a5/P8DuCSQZGGvPr4p54YUX8JWvfOXMY88++ywee+wx3L17F7/0\nS7+Ez3zmM/iJn/iJcz+olHvX9feWkCVAg9ozWQTbJw+8Lp6FoD4I7KJwMaNEg+sIBv/zG//LdXZn\nLkzrPtzvDxCGDBhXisFA/qVSD0Ygb70F3Lvn/7+zM7p7AiFkIqZ1L+52B2i1UiPbKEaR1MGzxWIy\nsFYEnuHxsBY4OpIAXoN8zRA4PpYWjMaIgHD7tvdC2NiQbQWBiAVhKKaKus1yWd6XTotngooFLFkh\ni+ZC0WAcr7zyCp5++ml8+tOfxkc+8pELX0/RgKwL1xENAAoH5zGLLINlEA3Gcdn78N27D56H82B3\nt7ywz543ifuu54kK1yRx33WG8LvO53OXlcvei+/cORmZaQDI5TrcHXca8By+OuppMNSxGHF7mCiS\nEoN2W4QC9TJotYDXXhOvAu220Ov5soPNTREO+n3fuhGQbW9u+u3M67smmXX6rsBivu959+Er6Zjf\n/va38alPfQrPP//8RDdHQtYJDfov6qIwSkgg42FZwll4HyYTobbdLEkgZCZc5V7MevXlQrshDHe2\n2NiQn1HkRQTAB/7WShaC/j+Vkse0s0I+L7fnTuesYKB0u+ySQJLDlTwNnn/+eXS7XXz+858HAJRK\nJXzpS1+a6o4Rskq8eL98rkjwwY38qcjw/uCjzDaYkHUVDADehwkhJAlc9V7MevXlQv0JhssE9PEo\nkn+alaDZBFrW0G7L7/r+/X2fZXB8LD8VPRfirydk0VxJNODElJDJoCHidJi2j8EqwPswIYQsnuvc\ni8cFoiSZjBsjYySLIJ+XcgTNGNBShTCUMoPtbf8ea2X8czl5j5Y/xMWjwYDnBEkOtFkhZIHEsw/Y\nfnE0FAwIIYSsKsMt+8jyks+LZ0G/LyUIhYJ0Stjfl1IGLTWIInleuyVUKmKAWCr5rscsVSFJg6IB\nITNgVHlB3PiQEEIIIYSsFhsbklGQz4sIUK2KeFAui6CQywFbW2dFBG3JqF0S1DOBpSokSVypPIEQ\nMjkXlSi8f/vkVFCIexsQZhkQQgghZLnI5yXgjyLJFAjDB9smDpcesFSFJB1mGhAyI66bbbDuJQqz\nFAy+ftQ6/UcIIYQQMk3U50BLDeJlKONKD1iqQpIMRQNCEgDbL84HCgWEEEIImRfj2jWy9IAsGxQN\nCJkDlwlUaYg4/SwDigWEEEIImQfW+haMUSRZBZXKWaNDQpYNigaEzBAaIk6H6woGhBBCCCGzpt0G\najXg3j3g9dflZ60GdDpnSw9UWFAzREKSDkUDQubERcEr2y8K0/y+FAwIIYQQMg/abaDXk39ahjAY\n+Mfabf+6Wg04OQGOjoAWpypkCaBoQMgCYLbB5Fw1y4CCASGEEELmgbWSTQAA3a7PKDDGP97piECg\nIkKjIf8/OBDxgJAkQ9GAkBkzqkRhHOuebTD8PSkYEEIIISTpaIeEUeUG8cfbbREPej0pVwgC6bJQ\nrzPjgCQbigaEzJF4MMtsg7NMSxihYEAIIYSQeaLCwKh2ifp4FMnPeCaCEgQiKNDjgCQVigaEzAFm\nG1yeq2QZTCoYvBj99ek/QgghhJDrYIx0SQCATMYH/9b6x3O58aKAtSIcUDQgSSVc9A4Qsm58/ah1\nrW4Aq8g0BJFJBAOKBIQQQgiZBdpKUVstdjoiGKTT8k+fbzbPvi8uLIzKVCAkCVA0IGSBvHi/fCaz\nYBQf3MifBsTvDz66FoHvZUWViwSDdThmhBBCCFksuZwIAPGMAWO8GJDPA8WieBhoZkE268UFigYk\nqbA8gZA5cdUShVVnWuaH46BgQAghhJB5YYw3OQyCB4WAjQ1ge1sEhFLpwUwEQpIIRQNCFsB1DBFX\nydtg1mUJFAwIIYQQkjTyeREPymWgUqFgQJIPRQNC5sg0DBFXmWmWJVAwIIQQQkhS0YwEliSQZYCi\nASELYt2zDWb5HSgYEEIIIYQQMh0oGhCSYNYp22BaWQYUDAghhBBCCJkeFA0ImTPTCmqXOdvguuaH\nFAwIIYQQQgiZDxQNCFkgly1RWIVsg1mJHRQMCCGEEEIImT4UDQhZANNqv7jM2QbKNLIMKBgQQggh\nhBAyGygaELJgrpttsEzCwXX3lYIBIYQQQggh84WiASFLwHC2wTKWKYwSDJbxexBCCCGEELJOUDQg\nZEHEV8iv034RWK5sA4VlCYQQQgghhCQfigaELAnLnG3AsgRCCCGEEEKWE4oGhCyQdc02WCbBgxBC\nCCGEkHWGogEhS8RF2QZJFA6YZUAIIYQQQsjyQtGAkAUzLgC+SrZB0piF+SEFA0IIIYQQQuYHRQNC\nEsSoVfVhliXbYBqCwSTHgxBCCCGEEDI7KBoQkmCumm2QFOFg2jDLgBBCCCGEkPlC0YCQBDDOEHEc\nSe+kMIssAwoGhBBCCCGEzB+KBoQknEmzDZJSpsCyBEIIIYQQQlYHigaEJITrZhuMfM2chYNZfR6z\nDAghhBBCCFkMFA0IWQKumm0ALN7fgFkGhBBCCCGELC8UDQhJENPINliUcDCL9ooAswwIIYQQQghZ\nJBQNCFkSxmUbTFKmMGumJUowy4AQQgghhJBkQdGAkIRx2WyDUcwz22DcdpllQAghhBBCyPJD0YCQ\nJeIy2QbjhINpiQfnbesqggFbLBJCCCGEEJI8KBoQkkDOyzaY1BTxPK4rHJz3/mlkGBBCCCGEEEKS\nAUUDQlaESbMNTl9/ReFgFoIBswwIIYQQQghJJhQNCEko08o2uEg4mFQ8mGZpQxyaHxJCCCGEEJJc\nwkXvACFkerx/+2SkoPDBjfy5wXlcDIiLFZcRCaZVlsAsA0IIIYQQQpIDMw0IWRImzTYY14Jx0qBe\nMwrmIRiwLIEQQgghhJBkQ9GAkAQz7SB6FiaFND4khBBCCCFkdaFoQMgScd1sA2B6Qf4HN/LX2haz\nDAghhBBCCEk+FA0ISTgXBdOLEA6YXUAIIYQQQsh6QNGAkCXgvE4KwNWFg6sE/9MQDJhlQAghhBBC\nyHJA0YCQJWSabQonFQ+uW46gsMUiIYQQQgghywNbLhKyIrx4vzwys2BcG8ZhFlVywCwDQgghhBBC\nkgszDQhZEoaD62mVKcwTliUQQgghhBCyXFA0IGSJuE6QvWjhgGUJhBBCCCGELB8UDQhZYi6TbZA0\nmGVACCGEEEJI8qFoQMiSMUmwnbQyBWYZEELYrkESAAAIRklEQVQIIYQQspxQNCBkyRkXkCdNOIjD\nLANCCCGEEEKWA4oGhCwhk5giAskQDphlQAghhBBCyPJC0YCQFWeRwsFIzwVmGRBCCCGEELI0XEs0\nePXVV/GBD3wAnU5nWvtDCJmQSbMNgOSYI1IwmD68DxNCyOLhvZgQssqEV31jvV7Hc889h0wmM839\nIYRcghejv8b7g4+e/v/rRy18cCM/+rVzFg5YljB7eB8mhJDFw3sxIWTVuVKmgbUWn/3sZ/H0008j\nnx8doBBC1heWJcwe3ocJIWTx8F5MCFkHLsw0eOGFF/CVr3zlzGO3bt3CE088gfe85z0z2zFCyGRc\nJttgHlAwmD7Tug9vbhYQhqlp795E7O4mo0RmHvC7rib8rmTZ78XrNK78rqvJOn1XIFnf11hr7WXf\n9Pjjj2N/fx8A8NJLL+Gxxx7DV7/61XPfU8q962p7SAi5kLhooCxKOFg20aDe/taid+FKXOU+fPfu\nYtpt7u6WF/bZ84bfdTXhd53P5y4jy3Iv5jm8mvC7ri6L+L7n3Yev5Gnw53/+56e//9RP/RT+4A/+\n4CqbIYRMieFsA2AxGQfLJhgsM7wPE0LI4uG9mBCyDrDlIiErwqjgfJ5mhBQMCCGEEEIIWT2uLRr8\n1V/9FbLZ7DT2hRAyA+YhHLBTwmLhfZgQQhYP78WEkFWFmQaErBDjVvZnGdSP2zazDAghhBBCCFl+\nKBoQsmLMUzigYEAIIYQQQshqQ9GAkBVk1sLB149aFAwIIYQQQghZAygaELJmXFc4oH8BIYQQQggh\n6wNFA0JWlPNW/M/LFLjOe5hlQAghhBBCyGoRLnoHCCGz48Xor/H+4KNjnx8WAT64kR/73CSfRQgh\nhBBCCFktKBoQsuJcJBzEuWrpAQUDQgghhBBCVhOWJxCyBswyqKdgQAghhBBCyOpC0YCQNWEWwT0F\nA0IIIYQQQlYblicQskZokD9pucJF2yGEEEIIIYSsNsw0IGQNuU7QT8GAEEIIIYSQ9YGZBoSsKZfN\nOqBYQAghhBBCyPpB0YCQNYdiACGEEEIIIWQcLE8ghBBCCCGEEELISCgaEEIIIYQQQgghZCQUDQgh\nhBBCCCGEEDISigaEEEIIIYQQQggZCUUDQgghhBBCCCGEjISiASGEEEIIIYQQQkZC0YAQQgghhBBC\nCCEjoWhACCGEEEIIIYSQkVA0IIQQQgghhBBCyEgoGhBCCCGEEEIIIWQkFA0IIYQQQgghhBAyEooG\nhBBCCCGEEEIIGQlFA0IIIYQQQgghhIyEogEhhBBCCCGEEEJGQtGAEEIIIYQQQgghIzHWWrvonSCE\nEEIIIYQQQkjyYKYBIYQQQgghhBBCRkLRgBBCCCGEEEIIISOhaEAIIYQQQgghhJCRUDQghBBCCCGE\nEELISCgaEEIIIYQQQgghZCQUDQghhBBCCCGEEDKStRANXn31VXzgAx9Ap9NZ9K7MjJOTE/zyL/8y\nPvnJT+ITn/gEvvGNbyx6l6ZOFEX43Oc+h0984hP4hV/4BXz/+99f9C7NjF6vh2eeeQY/93M/h49/\n/OP4y7/8y0Xv0sy5f/8+PvKRj+DVV19d9K6QGcF78WqwLvdi3ofJKsL78GqwLvdhgPfipBAuegdm\nTb1ex3PPPYdMJrPoXZkpX/7yl/GhD30ITz31FL7zne/g13/91/G1r31t0bs1Vf7iL/4C3W4Xf/RH\nf4SXXnoJv/3bv40vfelLi96tmfAnf/In2NjYwO/8zu/g6OgIP/uzP4uf/umfXvRuzYxer4fPfe5z\nyOVyi94VMiN4L14d1uVezPswWTV4H14d1uU+DPBenBRWOtPAWovPfvazePrpp5HP5xe9OzPlqaee\nwpNPPgkAGAwGyGazC96j6fP3f//3+PCHPwwA+NEf/VF885vfXPAezY6Pfexj+NSnPgVAzuNUKrXg\nPZotzz33HJ588kns7e0telfIDOC9eLVYl3sx78NkleB9eLVYl/swwHtxUliZTIMXXngBX/nKV848\nduvWLTzxxBN4z3ves6C9mg2jvuuzzz6Lxx57DHfv3sUzzzyDz3zmMwvau9lRr9dRKpVO/59KpdDv\n9xGGK3Man1IsFgHId/7VX/1V/Nqv/dqC92h2/PEf/zG2trbw4Q9/GL/3e7+36N0h14T3Yt6LVwXe\nh8mywvsw78OrBO/FycBYa+2id2JWPP7449jf3wcAvPTSS3jsscfw1a9+dcF7NTteeeUVPP300/j0\npz+Nj3zkI4venanzhS98Ae973/vwxBNPAAB+8id/En/zN3+z4L2aHW+++SZ+5Vd+5bSGa1X5+Z//\neRhjYIzByy+/jEceeQRf+tKXsLu7u+hdI1OC9+LVYp3uxbwP8z68KvA+vFqs030Y4L04EfdiuyZ8\n9KMfte12e9G7MTO+9a1v2Z/5mZ+xL7/88qJ3ZWb82Z/9mf2N3/gNa6213/jGN+wv/uIvLniPZsfd\nu3ftxz72Mft3f/d3i96VufLJT37Sfvvb3170bpAZwnvx8rMu92Leh8mqwvvw8rMu92FreS9OCquX\nw7KmPP/88+h2u/j85z8PACiVSitniPL444/jb//2b/Hkk0/CWotnn3120bs0M373d38XtVoNX/zi\nF/HFL34RAPD7v//7iTNFIYSchffi1YH3YUKWE96HVwvei5PBSpcnEEIIIYQQQggh5OqsdPcEQggh\nhBBCCCGEXB2KBoQQQgghhBBCCBkJRQNCCCGEEEIIIYSMhKIBIYQQQgghhBBCRkLRgBBCCCGEEEII\nISOhaEAIIYQQQgghhJCRUDQghBBCCCGEEELISCgaEEIIIYQQQgghZCT/P25j+bNJGNqcAAAAAElF\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11fd228d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 3, figsize=(18, 6))\n",
    "contour_pot(pot4f, ax[0], 'Target Potential Function');\n",
    "\n",
    "ax[1].scatter(traceNUTS['pot_func'][:,0], traceNUTS['pot_func'][:,1],c='r',alpha=.05)\n",
    "ax[1].set_xlim(-5,5)\n",
    "ax[1].set_ylim(-5,5)\n",
    "ax[1].set_title('NUTS')\n",
    "\n",
    "ax[2].scatter(traceNF['pot_func'][:,0], traceNF['pot_func'][:,1],c='b',alpha=.05)\n",
    "ax[2].set_xlim(-5,5)\n",
    "ax[2].set_ylim(-5,5)\n",
    "ax[2].set_title('NF with ' + formula);"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.0b4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
