{"cells":[{"cell_type":"markdown","metadata":{},"source":["# Binary classification using `pytket-qujax`\n","\n","**Download this notebook - {nb-download}`pytket-qujax-classification.ipynb`**"]},{"cell_type":"markdown","metadata":{},"source":["See the docs for [qujax](https://cqcl.github.io/qujax/) and [pytket-qujax](https://cqcl.github.io/pytket-qujax/api/index.html)."]},{"cell_type":"code","execution_count":1,"metadata":{},"outputs":[],"source":["from jax import numpy as jnp, random, vmap, value_and_grad, jit\n","from pytket import Circuit\n","from pytket.circuit.display import render_circuit_jupyter\n","from pytket.extensions.qujax.qujax_convert import tk_to_qujax\n","import matplotlib.pyplot as plt"]},{"cell_type":"markdown","metadata":{},"source":["## Define the classification task\n","We'll try and learn a _donut_ binary classification function (i.e. a bivariate coordinate is labelled 1 if it is inside the donut and 0 if it is outside)"]},{"cell_type":"code","execution_count":2,"metadata":{},"outputs":[],"source":["inner_rad = 0.25\n","outer_rad = 0.75"]},{"cell_type":"code","execution_count":3,"metadata":{},"outputs":[],"source":["def classification_function(x, y):\n"," r = jnp.sqrt(x**2 + y**2)\n"," return jnp.where((r > inner_rad) * (r < outer_rad), 1, 0)"]},{"cell_type":"code","execution_count":4,"metadata":{},"outputs":[],"source":["linsp = jnp.linspace(-1, 1, 1000)\n","Z = vmap(lambda x: vmap(lambda y: classification_function(x, y))(linsp))(linsp)"]},{"cell_type":"code","execution_count":5,"metadata":{},"outputs":[{"data":{"text/plain":[""]},"execution_count":5,"metadata":{},"output_type":"execute_result"},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["plt.contourf(linsp, linsp, Z, cmap=\"Purples\")"]},{"cell_type":"markdown","metadata":{},"source":["Now let's generate some data for our quantum circuit to learn from"]},{"cell_type":"code","execution_count":6,"metadata":{},"outputs":[],"source":["n_data = 1000\n","x = random.uniform(random.PRNGKey(0), shape=(n_data, 2), minval=-1, maxval=1)\n","y = classification_function(x[:, 0], x[:, 1])"]},{"cell_type":"code","execution_count":7,"metadata":{},"outputs":[{"data":{"text/plain":[""]},"execution_count":7,"metadata":{},"output_type":"execute_result"},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["plt.scatter(x[:, 0], x[:, 1], alpha=jnp.where(y, 1, 0.2), s=10)"]},{"cell_type":"markdown","metadata":{},"source":["## Quantum circuit time\n","We'll use a variant of data re-uploading [Pérez-Salinas et al](https://doi.org/10.22331/q-2020-02-06-226) to encode the input data, alongside some variational parameters within a quantum circuit classifier"]},{"cell_type":"code","execution_count":8,"metadata":{},"outputs":[],"source":["n_qubits = 3\n","depth = 5"]},{"cell_type":"code","execution_count":9,"metadata":{},"outputs":[],"source":["c = Circuit(n_qubits)"]},{"cell_type":"code","execution_count":10,"metadata":{},"outputs":[],"source":["for layer in range(depth):\n"," for qi in range(n_qubits):\n"," c.Rz(0.0, qi)\n"," c.Ry(0.0, qi)\n"," c.Rz(0.0, qi)\n"," if layer < (depth - 1):\n"," for qi in range(layer, layer + n_qubits - 1, 2):\n"," c.CZ(qi % n_qubits, (qi + 1) % n_qubits)\n"," c.add_barrier(range(n_qubits))"]},{"cell_type":"code","execution_count":11,"metadata":{},"outputs":[{"data":{"text/html":["\n","\n","\n","\n","\n","\n","
\n"," \n","
\n","\n"],"text/plain":[""]},"metadata":{},"output_type":"display_data"}],"source":["render_circuit_jupyter(c)"]},{"cell_type":"markdown","metadata":{},"source":["We can use `pytket-qujax` to generate our angles-to-statetensor function."]},{"cell_type":"code","execution_count":12,"metadata":{},"outputs":[],"source":["angles_to_st = tk_to_qujax(c)"]},{"cell_type":"markdown","metadata":{},"source":["We'll parameterise each angle as\n","\n","$$\n","\\begin{equation}\n","\\theta_k = b_k + w_k \\, x_k\n","\\end{equation}\n","$$\n","\n","where $b_k, w_k$ are variational parameters to be learnt and $x_k = x_0$ if $k$ even, $x_k = x_1$ if $k$ odd for a single bivariate input point $(x_0, x_1)$."]},{"cell_type":"code","execution_count":13,"metadata":{},"outputs":[],"source":["n_angles = 3 * n_qubits * depth\n","n_params = 2 * n_angles"]},{"cell_type":"code","execution_count":14,"metadata":{},"outputs":[],"source":["def param_and_x_to_angles(param, x_single):\n"," biases = param[:n_angles]\n"," weights = param[n_angles:]\n"," weights_times_data = jnp.where(\n"," jnp.arange(n_angles) % 2 == 0, weights * x_single[0], weights * x_single[1]\n"," )\n"," angles = biases + weights_times_data\n"," return angles"]},{"cell_type":"code","execution_count":15,"metadata":{},"outputs":[],"source":["param_and_x_to_st = lambda param, x_single: angles_to_st(\n"," param_and_x_to_angles(param, x_single)\n",")"]},{"cell_type":"markdown","metadata":{},"source":["We'll measure the first qubit only (if its 1 we label _donut_, if its 0 we label _not donut_)"]},{"cell_type":"code","execution_count":16,"metadata":{},"outputs":[],"source":["def param_and_x_to_probability(param, x_single):\n"," st = param_and_x_to_st(param, x_single)\n"," all_probs = jnp.square(jnp.abs(st))\n"," first_qubit_probs = jnp.sum(all_probs, axis=range(1, n_qubits))\n"," return first_qubit_probs[1]"]},{"cell_type":"markdown","metadata":{},"source":["For binary classification, the likelihood for our full data set $(x_{1:N}, y_{1:N})$ is\n","\n","$$\n","\\begin{equation}\n","p(y_{1:N} \\mid b, w, x_{1:N}) = \\prod_{i=1}^N p(y_i \\mid b, w, x_i) = \\prod_{i=1}^N (1 - q_{(b,w)}(x_i))^{I[y_i = 0]}q_{(b,w)}(x_i)^{I[y_i = 1]},\n","\\end{equation}\n","$$\n","\n","where $q_{(b, w)}(x)$ is the probability the quantum circuit classifies input $x$ as donut given variational parameter vectors $(b, w)$. This gives log-likelihood\n","\n","$$\n","\\begin{equation}\n"," \\log p(y_{1:N} \\mid b, w, x_{1:N}) = \\sum_{i=1}^N I[y_i = 0] \\log(1 - q_{(b,w)}(x_i)) + I[y_i = 1] \\log q_{(b,w)}(x_i),\n","\\end{equation}\n","$$\n","\n","which we would like to maximise.\n","\n","Unfortunately, the log-likelihood **cannot** be approximated unbiasedly using shots, that is we can approximate $q_{(b,w)}(x_i)$ unbiasedly but not $\\log(q_{(b,w)}(x_i))$.\n","Note that in qujax simulations we can use the statetensor to calculate this exactly, but it is still good to keep in mind loss functions that can also be used with shots from a quantum device.\n","\n","Instead we can minimise an expected distance between shots and data\n","\n","$$\n","\\begin{equation}\n","C(b, w, x, y) = E_{p(y' \\mid q_{(b, w)}(x))}[\\ell(y', y)] = (1 - q_{(b, w)}(x)) \\ell(0, y) + q_{(b, w)}(x)\\ell(1, y),\n","\\end{equation}\n","$$\n","\n","where $y'$ is a shot, $y$ is a data label and $\\ell$ is some distance between bitstrings - here we simply set $\\ell(0, 0) = \\ell(1, 1) = 0$ and $\\ell(0, 1) = \\ell(1, 0) = 1$ (which coincides with the Hamming distance for this binary example).\n","\n"," The full batch cost function is\n","\n","$$\n","\\begin{equation}\n"," C(b, w) = \\frac1N \\sum_{i=1}^N C(b,\\, w,\\, x_i,\\, y_i).\n","\\end{equation}\n","$$"]},{"cell_type":"markdown","metadata":{},"source":["Note that to calculate the cost function we need to evaluate the statetensor for every input point $x_i$. If the dataset becomes too large, we can easily minibatch."]},{"cell_type":"code","execution_count":17,"metadata":{},"outputs":[],"source":["def param_to_cost(param):\n"," donut_probs = vmap(param_and_x_to_probability, in_axes=(None, 0))(param, x)\n"," costs = jnp.where(y, 1 - donut_probs, donut_probs)\n"," return costs.mean()"]},{"cell_type":"markdown","metadata":{},"source":["## Ready to descend some gradients?\n","We'll just use vanilla gradient descent here"]},{"cell_type":"code","execution_count":18,"metadata":{},"outputs":[],"source":["param_to_cost_and_grad = jit(value_and_grad(param_to_cost))"]},{"cell_type":"code","execution_count":19,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["999 Cost: 0.25950647\r"]}],"source":["n_iter = 1000\n","stepsize = 1e-1\n","param = random.uniform(random.PRNGKey(1), shape=(n_params,), minval=0, maxval=2)\n","costs = jnp.zeros(n_iter)\n","for i in range(n_iter):\n"," cost, grad = param_to_cost_and_grad(param)\n"," costs = costs.at[i].set(cost)\n"," param = param - stepsize * grad\n"," print(i, \"Cost: \", cost, end=\"\\r\")"]},{"cell_type":"code","execution_count":20,"metadata":{},"outputs":[{"data":{"text/plain":["Text(0, 0.5, 'Cost')"]},"execution_count":20,"metadata":{},"output_type":"execute_result"},{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAj8AAAGwCAYAAABGogSnAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/TGe4hAAAACXBIWXMAAA9hAAAPYQGoP6dpAABCGElEQVR4nO3deXxU9b3/8ffMJDPZJwkhGwbCJovsBCK4VCU14FJRewWLgNSLu5Wm1vWKRaVBe68/XFBarlbFBbRut17Fq1GotMi+uiAgELYEEkgm+zJzfn8kGRhZhCxzJpnX8/GYR5Jzvufkc759SN79fr/nHIthGIYAAACChNXsAgAAAPyJ8AMAAIIK4QcAAAQVwg8AAAgqhB8AABBUCD8AACCoEH4AAEBQCTG7gEDk8Xi0f/9+RUdHy2KxmF0OAAA4DYZhqKysTKmpqbJaTz6+Q/g5gf379ystLc3sMgAAQDPs2bNHZ5111kn3E35OIDo6WlJD58XExJhcDQAAOB0ul0tpaWnev+MnQ/g5gaaprpiYGMIPAADtzE8tWWHBMwAACCqEHwAAEFQIPwAAIKgQfgAAQFAh/AAAgKBC+AEAAEGF8AMAAIIK4QcAAAQVwg8AAAgqhB8AABBUCD8AACCoEH4AAEBQ4cWmflRWXaeSyjpFOUIUF2k3uxwAAIISIz9+NOvv3+iCJ7/Qm6vzzS4FAICgRfjxoyhHw0BbRU29yZUAABC8CD9+1BR+yqsJPwAAmIXw40dRYQ3hp4yRHwAATEP48aNIpr0AADAd4cePopumvQg/AACYhvDjR6z5AQDAfIQfP4pk5AcAANMRfvwoOozwAwCA2Qg/fnR0wbPb5EoAAAhehB8/ijpm2svjMUyuBgCA4ET48aOmaS9Jqqhl6gsAADMQfvzIEWKVzWqRxNQXAABmIfz4kcViOWbqq87kagAACE6EHz87Gn4Y+QEAwAyEHz/jQYcAAJiL8ONnUWFMewEAYCbCj59FMu0FAICpCD9+5n25aTUjPwAAmIHw42dRvN8LAABTEX78jGkvAADMRfjxMxY8AwBgLsKPn0U5bJJ4wjMAAGYh/PhZlCNUklTGc34AADAF4cfPmPYCAMBchB8/Y9oLAABzEX787Oi0FyM/AACYgfDjZzHhDdNeLtb8AABgCsKPnznDG0Z+SqvqZBiGydUAABB8CD9+1hR+3B5DlbWs+wEAwN8IP34WHmpTqM0iqWH0BwAA+Bfhx88sFotiwo5OfQEAAP8i/JigaerLRfgBAMDvCD8miAln5AcAALMQfkxA+AEAwDyEHxN4p7141g8AAH5H+DGBs/FBh4z8AADgf4QfEzTd7cWCZwAA/I/wYwLu9gIAwDyEHxM4WfAMAIBpCD8m4G4vAADMQ/gxwdG7vQg/AAD4G+HHBEx7AQBgHsKPCQg/AACYh/BjgqZb3avrPKqpd5tcDQAAwYXwY4LosBBZLA3fu6p4yjMAAP5E+DGB1WpRtIOnPAMAYAbTw8+8efOUnp6usLAwZWZmatWqVad13KJFi2SxWDR+/Hif7TfeeKMsFovPZ+zYsW1Qecs4I5rW/dSaXAkAAMHF1PCzePFi5eTk6JFHHtG6des0ePBgZWdn6+DBg6c8bteuXbrnnnt0wQUXnHD/2LFjdeDAAe/nzTffbIvyWyQuwi5JOlLByA8AAP5kavh56qmnNH36dE2bNk39+/fX/PnzFRERoZdeeumkx7jdbk2aNEmzZs1Sjx49TtjG4XAoOTnZ+4mLi2urS2g2b/ipZOQHAAB/Mi381NbWau3atcrKyjpajNWqrKwsrVix4qTHPfroo0pMTNRNN9100jZLly5VYmKi+vTpo9tuu03FxcWnrKWmpkYul8vn09biGqe9SioZ+QEAwJ9MCz9FRUVyu91KSkry2Z6UlKSCgoITHrN8+XK9+OKLWrBgwUnPO3bsWL366qvKy8vTE088oWXLlmncuHFyu09+S3lubq6cTqf3k5aW1ryLOgOxjSM/hxn5AQDAr0LMLuB0lZWVafLkyVqwYIESEhJO2m7ixIne7wcOHKhBgwapZ8+eWrp0qcaMGXPCYx544AHl5OR4f3a5XG0egJqmvUoIPwAA+JVp4SchIUE2m02FhYU+2wsLC5WcnHxc+x07dmjXrl268sorvds8Ho8kKSQkRFu3blXPnj2PO65Hjx5KSEjQ9u3bTxp+HA6HHA5HSy7njMVHNkx7seAZAAD/Mm3ay263a/jw4crLy/Nu83g8ysvL06hRo45r37dvX23evFkbNmzwfn7xi1/o4osv1oYNG046UrN3714VFxcrJSWlza6lOZj2AgDAHKZOe+Xk5Gjq1KnKyMjQyJEjNXfuXFVUVGjatGmSpClTpqhLly7Kzc1VWFiYBgwY4HN8bGysJHm3l5eXa9asWbr22muVnJysHTt26N5771WvXr2UnZ3t12v7KUx7AQBgDlPDz4QJE3To0CHNnDlTBQUFGjJkiJYsWeJdBJ2fny+r9fQHp2w2mzZt2qRXXnlFJSUlSk1N1aWXXqrHHnvM79NaPyWuadqLu70AAPAri2EYhtlFBBqXyyWn06nS0lLFxMS0ye/YX1Kl0XM+V4jVom2zx8nS9LIvAADQLKf799v011sEq6Zpr3qPofIaXm4KAIC/EH5MEm63yRHS0P086BAAAP8h/JgoPpJXXAAA4G+EHxN5b3evIPwAAOAvhB8T8X4vAAD8j/BjojimvQAA8DvCj4maRn6OMO0FAIDfEH5M1HS7Ow86BADAfwg/JoqNYNoLAAB/I/yYyPtmd8IPAAB+Q/gxkXfkp4JpLwAA/IXwYyLe7A4AgP8RfkwUz4JnAAD8jvBjorjGNT9VdW5V1bpNrgYAgOBA+DFRlCNEdlvD/wTFFTUmVwMAQHAg/JjIYrF4X27K+70AAPAPwo/JOkU1hJ/icsIPAAD+QPgxWdPITzEjPwAA+AXhx2SdmsJPOWt+AADwB8KPyTpFOSSx5gcAAH8h/JiMaS8AAPyL8GMypr0AAPAvwo/JmPYCAMC/CD8mY9oLAAD/IvyY7Oi0F+EHAAB/IPyYrOkhh1V1blXW1ptcDQAAHR/hx2Q+7/di9AcAgDZH+DGZxWLxjv6w6BkAgLZH+AkAvNwUAAD/IfwEgKbwU8SzfgAAaHOEnwCQwLN+AADwG8JPAGDaCwAA/yH8BICj016EHwAA2hrhJwAkeO/2Ys0PAABtjfATAOIjG9b88IoLAADaHuEnAMTzigsAAPyG8BMAEnjIIQAAfkP4CQBNIz+83wsAgLZH+AkAvN8LAAD/IfwEAN7vBQCA/xB+AkRT+DlUxu3uAAC0JcJPgEiMDpMkHeL9XgAAtCnCT4Do3Ph+L0Z+AABoW4SfAJEY0xB+DpZVm1wJAAAdG+EnQCRGN4YfFyM/AAC0JcJPgOjcGH5Y8wMAQNsi/ASIzo0Lnhn5AQCgbRF+AkTTtNehshoZhmFyNQAAdFyEnwDRNO1V6/bIVcUrLgAAaCuEnwARFmpTTFiIJO74AgCgLRF+AkhiTOO6H571AwBAmyH8BBAedAgAQNsj/AQQHnQIAEDbI/wEEB50CABA2yP8BJCml5sWMu0FAECbIfwEkJTYhvBzoKTK5EoAAOi4CD8BJMUZLkk6UMqaHwAA2grhJ4CkNo78FLiq5fbwlGcAANoC4SeAJEaHyWa1yO0xuN0dAIA2QvgJIDarRUmNd3ztL2XdDwAAbYHwE2BSYhvX/ZSw7gcAgLZA+AkwKc7GO74Y+QEAoE0QfgJMauPIz35GfgAAaBOEnwCTysgPAABtyvTwM2/ePKWnpyssLEyZmZlatWrVaR23aNEiWSwWjR8/3me7YRiaOXOmUlJSFB4erqysLG3btq0NKm8bTWt+9vOsHwAA2oSp4Wfx4sXKycnRI488onXr1mnw4MHKzs7WwYMHT3ncrl27dM899+iCCy44bt+TTz6pZ555RvPnz9fKlSsVGRmp7OxsVVe3jzCR2vSgQ57yDABAmzA1/Dz11FOaPn26pk2bpv79+2v+/PmKiIjQSy+9dNJj3G63Jk2apFmzZqlHjx4++wzD0Ny5c/Uf//EfuuqqqzRo0CC9+uqr2r9/v95///02vprW0fSgw0PlNaquc5tcDQAAHY9p4ae2tlZr165VVlbW0WKsVmVlZWnFihUnPe7RRx9VYmKibrrppuP27dy5UwUFBT7ndDqdyszMPOU5a2pq5HK5fD5miY+0K9Juk2FIe48w+gMAQGszLfwUFRXJ7XYrKSnJZ3tSUpIKCgpOeMzy5cv14osvasGCBSfc33TcmZxTknJzc+V0Or2ftLS0M7mUVmWxWNS1U6Qkac/hStPqAACgozJ9wfPpKisr0+TJk7VgwQIlJCS06rkfeOABlZaWej979uxp1fOfqa7xDet+dhdXmFoHAAAdUYhZvzghIUE2m02FhYU+2wsLC5WcnHxc+x07dmjXrl268sorvds8Ho8kKSQkRFu3bvUeV1hYqJSUFJ9zDhky5KS1OBwOORyOllxOq+rWOPKzm5EfAABanWkjP3a7XcOHD1deXp53m8fjUV5enkaNGnVc+759+2rz5s3asGGD9/OLX/xCF198sTZs2KC0tDR1795dycnJPud0uVxauXLlCc8ZqNLiIyQx7QUAQFswbeRHknJycjR16lRlZGRo5MiRmjt3rioqKjRt2jRJ0pQpU9SlSxfl5uYqLCxMAwYM8Dk+NjZWkny2z5gxQ48//rh69+6t7t276+GHH1ZqaupxzwMKZN0aw8/uYsIPAACtzdTwM2HCBB06dEgzZ85UQUGBhgwZoiVLlngXLOfn58tqPbPBqXvvvVcVFRW6+eabVVJSovPPP19LlixRWFhYW1xCm+jaGH7yD1fKMAxZLBaTKwIAoOOwGIZhmF1EoHG5XHI6nSotLVVMTIzff3+d26M+//GxPIa08sExSoppP8ENAACznO7f73Zzt1cwCbVZvS84zWfdDwAArYrwE6DSG+/42nmI290BAGhNhJ8A1bNzQ/jZUVRuciUAAHQshJ8A1TMxSpK04yDhBwCA1kT4CVC9OjeGH6a9AABoVYSfANU08pN/uFI19bzdHQCA1kL4CVCJ0Q5FO0Lk9hjK52GHAAC0GsJPgLJYLOrROPqznXU/AAC0GsJPAPPe8XWI8AMAQGsh/ASwXoz8AADQ6gg/AezsxGhJ0ncFZSZXAgBAx0H4CWD9UhveS7LjULlq6z0mVwMAQMdA+Algqc4wRYeFqM5tsO4HAIBWQvgJYBaLRf2SG0Z/vitwmVwNAAAdA+EnwPVNaVz3c4B1PwAAtAbCT4Drl9Iw8vPNAUZ+AABoDYSfANc3mTu+AABoTYSfAHd2UrQsFulQWY2KymvMLgcAgHaP8BPgIh0h6hYfIYl1PwAAtAbCTzvQtO7nW9b9AADQYoSfduCcxocdbtlfanIlAAC0f4SfdmDgWbGSpM17CT8AALQU4acdGNjFKUn6oahCruo6k6sBAKB9a1b4efTRR1VZWXnc9qqqKj366KMtLgq+4iPtOisuXJK0ZR+jPwAAtESzws+sWbNUXn78u6YqKys1a9asFheF4zWN/jD1BQBAyzQr/BiGIYvFctz2jRs3Kj4+vsVF4XgDz2oMP4z8AADQIiFn0jguLk4Wi0UWi0Vnn322TwByu90qLy/Xrbfe2upFQhrUJVYS4QcAgJY6o/Azd+5cGYahX//615o1a5acTqd3n91uV3p6ukaNGtXqReLotNfu4kqVVtbJGRFqckUAALRPZxR+pk6dKknq3r27zjvvPIWEnNHhaAFnRKi6dYrQ7uJKbd5XqvN7J5hdEgAA7VKz1vxER0fr22+/9f78wQcfaPz48XrwwQdVW1vbasXBl3fRM1NfAAA0W7PCzy233KLvv/9ekvTDDz9owoQJioiI0Ntvv6177723VQvEUYMaFz1v2ltibiEAALRjzQo/33//vYYMGSJJevvtt/Wzn/1Mb7zxhl5++WW98847rVkfjjGo8UnPG/aUmFoHAADtWbNvdfd4PJKkzz77TJdddpkkKS0tTUVFRa1XHXwMOsspm9WiA6XVOlBaZXY5AAC0S80KPxkZGXr88ce1cOFCLVu2TJdffrkkaefOnUpKSmrVAnFUhD1EfZOjJUnrdpeYWwwAAO1Us8LP3LlztW7dOt1555166KGH1KtXL0nS3/72N40ePbpVC4SvYV3jJEnr84+YXAkAAO1Ts+5VHzRokDZv3nzc9j/96U+y2WwtLgonN6xbrBZ+tVvrCD8AADRLix7Us3btWu8t7/3799ewYcNapSic3NC0hpGfLftcqql3yxFC2AQA4Ew0K/wcPHhQEyZM0LJlyxQbGytJKikp0cUXX6xFixapc+fOrVkjjtGtU4TiI+06XFGrr/e7vNNgAADg9DRrzc9dd92l8vJyff311zp8+LAOHz6sLVu2yOVy6Te/+U1r14hjWCwWDesaK0lan19iai0AALRHzQo/S5Ys0fPPP69+/fp5t/Xv31/z5s3Txx9/3GrF4cSGNo72sO4HAIAz16zw4/F4FBp6/Is1Q0NDvc//QdsZ2jTys5vwAwDAmWpW+Lnkkkt09913a//+/d5t+/bt029/+1uNGTOm1YrDiQ0+K1ZWi7S/tFoFpdVmlwMAQLvSrPDz3HPPyeVyKT09XT179lTPnj3VvXt3uVwuPfvss61dI34k0hGiPskxkpj6AgDgTDXrbq+0tDStW7dOn332mb777jtJUr9+/ZSVldWqxeHkhneL1bcHXFqz64guG5hidjkAALQbZzTy8/nnn6t///5yuVyyWCz6+c9/rrvuukt33XWXRowYoXPOOUdffvllW9WKY4xIj5ckrd512ORKAABoX84o/MydO1fTp09XTEzMcfucTqduueUWPfXUU61WHE5uZPeG8PP1/lKVVdeZXA0AAO3HGYWfjRs3auzYsSfdf+mll2rt2rUtLgo/LcUZrq7xEfIY0lru+gIA4LSdUfgpLCw84S3uTUJCQnTo0KEWF4XTw9QXAABn7ozCT5cuXbRly5aT7t+0aZNSUlh86y+ZjVNfq3YSfgAAOF1nFH4uu+wyPfzww6quPv7ZMlVVVXrkkUd0xRVXtFpxOLWmdT8b95Squs5tcjUAALQPFsMwjNNtXFhYqGHDhslms+nOO+9Unz59JEnfffed5s2bJ7fbrXXr1ikpKanNCvYHl8slp9Op0tLSEy7uDhSGYWjkH/N0qKxGi28+V5k9OpldEgAApjndv99n9JyfpKQk/etf/9Jtt92mBx54QE25yWKxKDs7W/PmzWv3wac9sVgsGtk9Xv+76YBW7TxM+AEA4DSc8UMOu3Xrpo8++khHjhzR9u3bZRiGevfurbi4uLaoDz8hsyn8sOgZAIDT0qwnPEtSXFycRowY0Zq1oBma1v2s3X1E9W6PQmzNemMJAABBg7+U7dzZidFyhoeqstatTftKzS4HAICAR/hp56xWi0Y1rvX51/Yik6sBACDwEX46gPN6J0iSlhN+AAD4SYSfDuC8ng0jP+t2l6iqluf9AABwKoSfDqB7QqRSnWGqdXt41QUAAD+B8NMBWCwWnderYerrn0x9AQBwSoSfDuJ81v0AAHBaCD8dxKjGdT/fHHDpcEWtydUAABC4CD8dRGJ0mPokRcswpBU7is0uBwCAgEX46UCa1v0w9QUAwMmZHn7mzZun9PR0hYWFKTMzU6tWrTpp23fffVcZGRmKjY1VZGSkhgwZooULF/q0ufHGG2WxWHw+Y8eObevLCAjn926Y+vpy2yHvS2cBAICvZr/bqzUsXrxYOTk5mj9/vjIzMzV37lxlZ2dr69atSkxMPK59fHy8HnroIfXt21d2u10ffvihpk2bpsTERGVnZ3vbjR07Vn/961+9PzscDr9cj9kyu3eS3WbV3iNV2nGoXL0So80uCQCAgGPqyM9TTz2l6dOna9q0aerfv7/mz5+viIgIvfTSSydsf9FFF+nqq69Wv3791LNnT919990aNGiQli9f7tPO4XAoOTnZ+wmWN85HOkJ0buPC57xvD5pcDQAAgcm08FNbW6u1a9cqKyvraDFWq7KysrRixYqfPN4wDOXl5Wnr1q268MILffYtXbpUiYmJ6tOnj2677TYVF596AXBNTY1cLpfPp726pE9nSdLn3xF+AAA4EdPCT1FRkdxut5KSkny2JyUlqaCg4KTHlZaWKioqSna7XZdffrmeffZZ/fznP/fuHzt2rF599VXl5eXpiSee0LJlyzRu3Di53Sd/7UNubq6cTqf3k5aW1vILNMklfRv6c83uIyqtqjO5GgAAAo+pa36aIzo6Whs2bFB5ebny8vKUk5OjHj166KKLLpIkTZw40dt24MCBGjRokHr27KmlS5dqzJgxJzznAw88oJycHO/PLper3Qagrp0i1LNzpHYcqtCX2w7pikGpZpcEAEBAMW3kJyEhQTabTYWFhT7bCwsLlZycfNLjrFarevXqpSFDhuh3v/udfvnLXyo3N/ek7Xv06KGEhARt3779pG0cDodiYmJ8Pu3ZJX0bFosz9QUAwPFMCz92u13Dhw9XXl6ed5vH41FeXp5GjRp12ufxeDyqqak56f69e/equLhYKSkpLaq3PWma+lq69ZDcHm55BwDgWKZOe+Xk5Gjq1KnKyMjQyJEjNXfuXFVUVGjatGmSpClTpqhLly7ekZ3c3FxlZGSoZ8+eqqmp0UcffaSFCxfqhRdekCSVl5dr1qxZuvbaa5WcnKwdO3bo3nvvVa9evXxuhe/oMtLjFB0WosMVtVq7+4hGdo83uyQAAAKGqeFnwoQJOnTokGbOnKmCggINGTJES5Ys8S6Czs/Pl9V6dHCqoqJCt99+u/bu3avw8HD17dtXr732miZMmCBJstls2rRpk1555RWVlJQoNTVVl156qR577LGgedaPJIXarPp5vyS9u36fPt5ygPADAMAxLAaPAj6Oy+WS0+lUaWlpu13/8+k3hZr+6holx4TpX/dfIqvVYnZJAAC0qdP9+2366y3QNi7onaAoR4gKXNVav6fE7HIAAAgYhJ8OKizUpjH9Gu76+njzAZOrAQAgcBB+OrBxAxrucPt4SwEvOgUAoBHhpwO7qE9nRdht2ldSpQ1MfQEAIInw06E1TH013Dn3wYb9JlcDAEBgIPx0cNcM7SJJ+mDDPtXWe0yuBgAA8xF+OrgLeieoc7RDRyrr9MVWXncBAADhp4MLsVl1dePozztr95pcDQAA5iP8BIFrh50lSfpi60EVl5/8PWgAAAQDwk8Q6JMcrcFnOVXnNvTWGkZ/AADBjfATJG44t5sk6bWvdvOmdwBAUCP8BIkrB6cqLiJU+0qqlPdtodnlAABgGsJPkAgLtem6EWmSpFdX7Da5GgAAzEP4CSI3ZHaT1SIt316kr/eXml0OAACmIPwEkbT4CF0xKFWS9PzSHSZXAwCAOQg/Qeb2i3tKkj7afEA7DpWbXA0AAP5H+AkyfZNjlNUvSYYhPf8Foz8AgOBD+AlCd17SS5L03vq92lpQZnI1AAD4F+EnCA1Ji9W4AcnyGNITS74zuxwAAPyK8BOkfp/dRyFWiz7/7qD+taPI7HIAAPAbwk+Q6tE5Sr/K7CpJmvU/36jO7TG5IgAA/IPwE8R+m3W24iPt2lpYpgVf/mB2OQAA+AXhJ4jFRdr10GX9JElPf7ZNu4srTK4IAIC2R/gJctcM66LRPTuppt6j3y7eoHqmvwAAHRzhJ8hZLBY9ce0gRTtCtC6/RM9+vt3skgAAaFOEHygtPkKPXz1AkvTs59u0ZtdhkysCAKDtEH4gSbpqSBddPbSLPIZ0++vrVOiqNrskAADaBOEHXo+NH6DeiVE6WFajWxauVXWd2+ySAABodYQfeEU5QrRgSoac4aHasKdED767WYZhmF0WAACtivADH+kJkXruV0NltUjvrt+nObz+AgDQwRB+cJwLenfWnGsGSZL+vOwH/eUfvP0dANBxEH5wQteNSNP94/pKkv740XdavDrf5IoAAGgdhB+c1K0/66mbL+whSbrvnc16YyUBCADQ/hF+cEoPjOuraeelS5IefG+zFq7YZWo9AAC0FOEHp2SxWDTziv6afkF3SdLDH3ytF5fvNLkqAACaj/CDn2SxWPTgZf106896SpIe+/Ab/emT77gNHgDQLhF+cFosFovuG9tHv8/uI0ma98UO3f/OZl6ECgBodwg/OG0Wi0V3XNxLc64ZKKtFWrxmj259bR1PggYAtCuEH5yxiSO76oUbhsseYtVn3xZq8osrVVpZZ3ZZAACcFsIPmiX7nGQt/PVIRYeFaPWuI/q3P/9LB0qrzC4LAICfRPhBs2X26KS3bhmlpBiHvi8s1zXP/0vbCsvMLgsAgFMi/KBF+qXE6J3bRqtn50gdKK3WL+ev0Jpdh80uCwCAkyL8oMXOiovQ324drWFdY1VaVadJ/71Sn3xdYHZZAACcEOEHrSIu0q7X//1cZfVLVE29R7e9tlavr9xtdlkAAByH8INWE263af4NwzVxRJo8hvTQe1v0/z79nochAgACCuEHrSrEZlXuNQP1mzG9JUlP523Tg+/xMEQAQOAg/KDVWSwW5fz8bD0+foCsFunNVQ0PQ6yq5WGIAADzEX7QZm44t5uen3T0YYg3vLhSJZW1ZpcFAAhyhB+0qbEDkvX6v2cqJixEa3cf0S/nr1Chq9rssgAAQYzwgzY3Ij1ef7tttFKcYdp+sFzX/XmF9pXwNGgAgDkIP/CLs5Oi9dYto5QWH67dxZWa8OcV2nO40uyyAABBiPADv0mLj9Dim0epe0Kk9h6p0nV/XqEfDpWbXRYAIMgQfuBXqbHhWnzzueqVGKUDpdWa8JeveB8YAMCvCD/wu8SYMC26+Vz1TY7WobIaTfzLV/qeAAQA8BPCD0yREOXQopvP1YAuMSquqNWvFqzUDqbAAAB+QPiBaWIj7Hrtpkz1S4lRUXmNfrXgK+0qqjC7LABAB0f4galiI+x6/d8zdXZSlApdDQGIu8AAAG2J8APTxTe+Eb5n50jtL63W9Qu+4jlAAIA2Q/hBQOgc7dAb089VeqcI7T1SpV8t+EoFpTwJGgDQ+gg/CBhJMWF6Y/q53gch/mrBVzpYRgACALQuwg8CSmpsuN7493PVJTZcPxRVaNKClSourzG7LABAB0L4QcBJi4/QG9MzlRwTpm0Hy3XDi6t4GzwAoNUQfhCQunWK1OvTM5UQ5dC3B1ya8tIquarrzC4LANABEH4QsHp2jtIb0zMVH2nXpr2luvGlVSqvqTe7LABAO2d6+Jk3b57S09MVFhamzMxMrVq16qRt3333XWVkZCg2NlaRkZEaMmSIFi5c6NPGMAzNnDlTKSkpCg8PV1ZWlrZt29bWl4E2cnZStF67KVPO8FCtyy/Rr19erapat9llAQDaMVPDz+LFi5WTk6NHHnlE69at0+DBg5Wdna2DBw+esH18fLweeughrVixQps2bdK0adM0bdo0ffLJJ942Tz75pJ555hnNnz9fK1euVGRkpLKzs1VdzV1D7VX/1BgtvGmkoh0hWrXzsKa/ukbVdQQgAEDzWAzDMMz65ZmZmRoxYoSee+45SZLH41FaWpruuusu3X///ad1jmHDhunyyy/XY489JsMwlJqaqt/97ne65557JEmlpaVKSkrSyy+/rIkTJ57WOV0ul5xOp0pLSxUTE9O8i0OrW7v7iCa/uFKVtW5d3Kez5k8eLkeIzeyyAAAB4nT/fps28lNbW6u1a9cqKyvraDFWq7KysrRixYqfPN4wDOXl5Wnr1q268MILJUk7d+5UQUGBzzmdTqcyMzNPec6amhq5XC6fDwLP8G5xeunGEQoLteqLrYd01xvrVef2mF0WAKCdMS38FBUVye12KykpyWd7UlKSCgoKTnpcaWmpoqKiZLfbdfnll+vZZ5/Vz3/+c0nyHnem58zNzZXT6fR+0tLSmntZaGPn9uik/54yQvYQq/7vm0LNWLxB9QQgAMAZMH3B85mKjo7Whg0btHr1as2ePVs5OTlaunRpi875wAMPqLS01PvZs2dP6xSLNnF+7wT9+YbhCrVZ9L+bDuj3f9skt8e02VsAQDsTYtYvTkhIkM1mU2Fhoc/2wsJCJScnn/Q4q9WqXr16SZKGDBmib7/9Vrm5ubrooou8xxUWFiolJcXnnEOGDDnpOR0OhxwORwuuBv52cd9EPferYbrj9XV6b/0+OUKs+uPVA2W1WswuDQAQ4Ewb+bHb7Ro+fLjy8vK82zwej/Ly8jRq1KjTPo/H41FNTcPrD7p3767k5GSfc7pcLq1cufKMzon2IfucZM2dOERWi7Ro9R498j9fy8T1+wCAdsK0kR9JysnJ0dSpU5WRkaGRI0dq7ty5qqio0LRp0yRJU6ZMUZcuXZSbmyupYW1ORkaGevbsqZqaGn300UdauHChXnjhBUmSxWLRjBkz9Pjjj6t3797q3r27Hn74YaWmpmr8+PFmXSba0BWDUlXn9ijnrY1a+NVuSdKsX5zDCBAA4KRMDT8TJkzQoUOHNHPmTBUUFGjIkCFasmSJd8Fyfn6+rNajg1MVFRW6/fbbtXfvXoWHh6tv37567bXXNGHCBG+be++9VxUVFbr55ptVUlKi888/X0uWLFFYWJjfrw/+cfXQs1TnNnTfO5u08KvdqvcYmj1+AAEIAHBCpj7nJ1DxnJ/26d11e3XP2xvlMaTrMs7SnGsGEYAAIIgE/HN+gNZ2zbCz9P8mNKwBemvNXu4CAwCcEOEHHcpVQ7ro6YlDZbNa9M66vfrdWzwHCADgi/CDDufKwal67vqhCrFa9P6G/frtWxsJQAAAL8IPOqRxA1M0b9Iwhdos+vvG/bp70QZehQEAkET4QQeWfU6yXpg0XHabVf+7+YDueH2daup5GzwABDvCDzq0rP5J+vPk4d53gd308hpV1NSbXRYAwESEH3R4F/dN1Ms3jlCE3abl24t0w4srVVpZZ3ZZAACTEH4QFEb3StDr/54pZ3io1ueXaMJfVuhgWbXZZQEATED4QdAY2jVOb90ySp2jHfquoEzXzV+hvUcqzS4LAOBnhB8ElT7J0frbraOUFh+uXcWV+rf5K7T9YLnZZQEA/Ijwg6DTrVOk3r5ltHonRulAabV+Of9fWrXzsNllAQD8hPCDoJTsDNPiW0ZpaNdYlVTW6Yb/Xqm/b9xvdlkAAD8g/CBoxUfa9eb0czX2nGTVuj266831mr9sh3jXLwB0bIQfBLWwUJvmTRqmm87vLkma8/F3evC9zTwMEQA6MMIPgp7NatHDV/TXI1f2l8Uivblqjyb+5SsVurgVHgA6IsIP0Gjaed311xtHKCYsROvzS3TFs8u1ZhcLoQGgoyH8AMe4qE+i/n7X+eqTFK1DZTWa+Jev9OdlO+TxsA4IADoKwg/wI906Rerd20frikEpqvcYyv34O93w4kodKK0yuzQAQCsg/AAnEOkI0bPXD9WcawYqPNSmf+0o1ti5X+rddXu5GwwA2jnCD3ASFotFE0d21f/+5nwN7OJUaVWdct7aqMkvrtKuogqzywMANBPhB/gJPTpH6Z3bRuv32X1kD7Fq+fYiZc/9h576v60qr6k3uzwAwBmyGIzhH8flcsnpdKq0tFQxMTFml4MAsquoQv/x/hYt314kSeoUaddvxvTW9SO7yh7C/5cAADOd7t9vws8JEH5wKoZhaMmWAj35yVbtbJz+6hIbrn+/oLsmjEhThD3E5AoBIDgRflqA8IPTUef2aNHqPXr6s20qKq+RJMVFhGpSZjdNGJGmtPgIkysEgOBC+GkBwg/ORHWdW39bu1cLvvxBu4srJUkWi3R+rwRNGJGmrH5JCgu1mVwlAHR8hJ8WIPygOdweQ//3dYHeWJWvL7cVebdH2G26pG+ixg1I0UV9OivSwbQYALQFwk8LEH7QUnsOV+rtNXv0zrp92ldy9OGIjhCrRvXspPN7JeiC3p11dlKULBaLiZUCQMdB+GkBwg9ai2EY2ri3VB9vOaAlWwq802JNEqMdOq9XgjLS45TRLV69E6NktRKGAKA5CD8tQPhBWzAMQ1sLy/Tl90X6cnuRVv5QrJp6j0+bmLAQDe8Wp4z0eA3rGqfBaU7uHgOA00T4aQHCD/yhus6tNbuOaOXOYq3ZdUQb9pSoqs7t08ZmtahvcrSGdo3V0LQ4DesWp/ROEUyVAcAJEH5agPADM9S5Pfr2gEtrdh3R2t1HtC7/iA6UVh/XLi4iVEO7xmloWqyGdYvToLOcig4LNaFiAAgshJ8WIPwgUBwordL6/BKtzz+idfkl2ryvVLU/miqzWKQ+SceODsWqRwJrhwAEH8JPCxB+EKhq6z365oDLG4bW5x/R3iNVx7WLCQvRkGNGh4acFStnBKNDADo2wk8LEH7Qnhwsq24cHSrRuvwj2rS3RNV1nuPa9UqM0tC0WA3t2jA61DsxWjZGhwB0IISfFiD8oD2rc3u0taDMZ3Ro149usZekKEeIBqc5Nbxrw91lQ7vGsnYIQLtG+GkBwg86muLyGm3Yc3R0aOOeElXU+t5ZZrVIfZNjNCK9IQxlpMcpxRluUsUAcOYIPy1A+EFH5/YY+r6wTOvyj2jtriNas/uI8g8fPzrUJTZcI9LjNDw9XiPS43R2YjQLqQEELMJPCxB+EIwKXdVas+uIVu86rDW7D+ub/S55fvSvQ0xYiAanxWpgF6cGdnFqQBenzooL57lDAAIC4acFCD+AVF5Trw35Jd4wtD6/RJU/miqTGp47NKAxCPVNjtbZSdHqnhDJm+wB+B3hpwUIP8Dx6t0efXugTBv3lmjLvlJt3leqrQVlqv/x8JAa1g916xSpXolROjspSr0So9StU6S6xUcoPtLOSBGANkH4aQHCD3B6aurd2lpQps37SrVln0vbCsv0fWGZXNX1Jz0m0m5TWnyEujZ9OkUo1RmuZGeYkmLC1CnSzroiAM1C+GkBwg/QfIZh6FBZjbYdLNf3hWXadrBc2w+Wa8/hyhO+ruPHQm0WJUaHKSnGoWRnmJJjwpUU41CnKIc6RdrVKcqu+Ei7EqIcTK0B8HG6f795XTSAVmWxWJQYE6bEmDCd1yvBZ191nVv7SqqUX1yp/MNHPwWl1SpwVauovEZ1bkP7Sqq0r+T4J1f/WITdpk5RdnWKPBqM4iLtcoaHKja88WtEqJzhjZ+IUEU7Qph2A4Ic4QeA34SF2tSzc5R6do464f46t0eHymp0oLRaha5qFTR+PVhWo+KKWhWX1+hwRa2Ky2tV6/aostatysNV2nP4p4NSE5vVopiwEMVG2BUTHqrYxmDUFJKiw0IUHeb7NeaY78NDbYQnoJ0j/AAIGKE2q1Jjw5Uae+qHKxqGobKaeh0ur1VxRY2Ky2tVXFHrDUalVXUqraqTq6pOJVUNP5dU1qmm3iO3x9CRyjodqaxrVo0hVouiwkIawpHjaEiKadoW9uMAdez+hm0RdgIUYCbCD4B2x2KxKCYsVDFhoUpPiDzt46rr3N5gVFLZ9LX2mKBUp7LqepVV18lVXe/9vumrx5DqPYZKKhuOl05/xOlYNqtFUY6GYOT7NbQhWDkafo46ZntTm6b90WGhCgu1EqKAZiD8AAgaYaE2hYXalBQTdsbHGoahylr3j8JRUzDyDUll1fW++2uOtnN7DLk9hjeEtURTiGoKUEcDUujRbT4hKkRRjaNVUcfsYyoPwYbwAwCnwWKxKNIRokhHiJKdZx6epIYAVVXn9glJ5TX1Kq+uV1nT1+p6ldfUqbym3ru/rLphX8P3Dfs8htosRJ101Klxe0xjiDo2VLEeCu0J4QcA/MRisSjCHqIIe0izRp+aNI1CHRuQypsCVc3RoNQUlo5t03RMW4Qoq0VHp++agtSJpvYcviNPPu0drIlC2yP8AEA7c+woVFILHkXWNBJV3jhNdzQgHZ2mOxqijhl5qj5+m8eQPIbkajxXS1gtUqQjRDHHBCXfUaejI0/RJwxZLCzHqRF+ACBIHTsSldhKIerH03c/nto7+nPdMaNQR0OW22PIY8i7vWXX1zgS9aMRph8vKm/Y3rAeLDzUpnD70e/DGn8Ob/zZEWLlCeQdAOEHANAiPiGqBecxDEPVdZ7jpu+OnabzbvOuhTrB+qjGEGUcG6JKW+1y5Qix+gSihoX0R7c1BSdHqFV2m032EKscIVafr3ab1Wd/07amNt523rY22W1WhdosjGa1AsIPACAgWCyWhgBht7VOiKqpO2YUynfUqeyYENUUqKrr3Kqqc6uq1q3qOreq6zwNP9e5VVvv8Z6/pt6jmnqPStSyNVLNZQ+xKtRqUUhjGAqxWhVisyjUZlWIz3bfNqdu2/jV5/uGNqG2htGuEKtFNqtFNktDu6bvbdaGn62WhmNtTe2OPeZH39usFsVF2BXpMCeGEH4AAB2KT4iKbp1zuj1GYyBqCEPVdW5V1R4NR959te5jtnlUW9/4cbu939d4tx3zfb1HNfVu1bqPOaaxTZ3b9xWctfUe1TZU1ToXZ5LZVw/QpMxupvxuwg8AAD/BZj26yNzfPB7DNyi5Paqr96je41G9x1C921Cdu+H7OrdH9W5D9Z6G0OT7vUd1noav9W5DdZ7Gtsdsr2ts33DOo9+7PYbcRsPXeo8ht8fjfWZVfePXk//skdsjuRvrbdoearX6vS+bEH4AAAhgVqtFYdaGtURoHebFLgAAABMQfgAAQFAh/AAAgKBC+AEAAEGF8AMAAIIK4QcAAAQVwg8AAAgqhB8AABBUCD8AACComB5+5s2bp/T0dIWFhSkzM1OrVq06adsFCxboggsuUFxcnOLi4pSVlXVc+xtvvFEWi8XnM3bs2La+DAAA0E6YGn4WL16snJwcPfLII1q3bp0GDx6s7OxsHTx48ITtly5dquuvv15ffPGFVqxYobS0NF166aXat2+fT7uxY8fqwIED3s+bb77pj8sBAADtgMUwDOOnm7WNzMxMjRgxQs8995wkyePxKC0tTXfddZfuv//+nzze7XYrLi5Ozz33nKZMmSKpYeSnpKRE77///mnXUVNTo5qaGu/PLpdLaWlpKi0tVUxMzJldFAAAMIXL5ZLT6fzJv9+mjfzU1tZq7dq1ysrKOlqM1aqsrCytWLHitM5RWVmpuro6xcfH+2xfunSpEhMT1adPH912220qLi4+5Xlyc3PldDq9n7S0tDO/IAAA0C6YFn6KiorkdruVlJTksz0pKUkFBQWndY777rtPqampPgFq7NixevXVV5WXl6cnnnhCy5Yt07hx4+R2u096ngceeEClpaXez549e5p3UQAAIOCFmF1Ac82ZM0eLFi3S0qVLFRYW5t0+ceJE7/cDBw7UoEGD1LNnTy1dulRjxow54bkcDoccDof356aZQJfL1UbVAwCA1tb0d/unVvSYFn4SEhJks9lUWFjos72wsFDJycmnPPY///M/NWfOHH322WcaNGjQKdv26NFDCQkJ2r59+0nDz4+VlZVJEtNfAAC0Q2VlZXI6nSfdb1r4sdvtGj58uPLy8jR+/HhJDQue8/LydOedd570uCeffFKzZ8/WJ598ooyMjJ/8PXv37lVxcbFSUlJOu7bU1FTt2bNH0dHRslgsp33cT2laSL1nzx4WUrcx+to/6Gf/oJ/9h772j7bqZ8MwVFZWptTU1FO2M3XaKycnR1OnTlVGRoZGjhypuXPnqqKiQtOmTZMkTZkyRV26dFFubq4k6YknntDMmTP1xhtvKD093bs2KCoqSlFRUSovL9esWbN07bXXKjk5WTt27NC9996rXr16KTs7+7TrslqtOuuss1r/ghvFxMTwH5Wf0Nf+QT/7B/3sP/S1f7RFP59qxKeJqeFnwoQJOnTokGbOnKmCggINGTJES5Ys8S6Czs/Pl9V6dE32Cy+8oNraWv3yl7/0Oc8jjzyiP/zhD7LZbNq0aZNeeeUVlZSUKDU1VZdeeqkee+wxnzU9AAAgeJn6nJ9gc7rPH0DL0df+QT/7B/3sP/S1f5jdz6a/3iKYOBwOPfLII4xC+QF97R/0s3/Qz/5DX/uH2f3MyA8AAAgqjPwAAICgQvgBAABBhfADAACCCuEHAAAEFcKPH82bN0/p6ekKCwtTZmamVq1aZXZJ7Upubq5GjBih6OhoJSYmavz48dq6datPm+rqat1xxx3q1KmToqKidO211x73CpX8/HxdfvnlioiIUGJion7/+9+rvr7en5fSrsyZM0cWi0UzZszwbqOfW8e+fft0ww03qFOnTgoPD9fAgQO1Zs0a737DMDRz5kylpKQoPDxcWVlZ2rZtm885Dh8+rEmTJikmJkaxsbG66aabVF5e7u9LCVhut1sPP/ywunfvrvDwcPXs2VOPPfaYz7uf6Ofm+cc//qErr7xSqampslgsev/99332t1a/btq0SRdccIHCwsKUlpamJ598suXFG/CLRYsWGXa73XjppZeMr7/+2pg+fboRGxtrFBYWml1au5GdnW389a9/NbZs2WJs2LDBuOyyy4yuXbsa5eXl3ja33nqrkZaWZuTl5Rlr1qwxzj33XGP06NHe/fX19caAAQOMrKwsY/369cZHH31kJCQkGA888IAZlxTwVq1aZaSnpxuDBg0y7r77bu92+rnlDh8+bHTr1s248cYbjZUrVxo//PCD8cknnxjbt2/3tpkzZ47hdDqN999/39i4caPxi1/8wujevbtRVVXlbTN27Fhj8ODBxldffWV8+eWXRq9evYzrr7/ejEsKSLNnzzY6depkfPjhh8bOnTuNt99+24iKijKefvppbxv6uXk++ugj46GHHjLeffddQ5Lx3nvv+exvjX4tLS01kpKSjEmTJhlbtmwx3nzzTSM8PNz485//3KLaCT9+MnLkSOOOO+7w/ux2u43U1FQjNzfXxKrat4MHDxqSjGXLlhmGYRglJSVGaGio8fbbb3vbfPvtt4YkY8WKFYZhNPzHarVajYKCAm+bF154wYiJiTFqamr8ewEBrqyszOjdu7fx6aefGj/72c+84Yd+bh333Xefcf755590v8fjMZKTk40//elP3m0lJSWGw+Ew3nzzTcMwDOObb74xJBmrV6/2tvn4448Ni8Vi7Nu3r+2Kb0cuv/xy49e//rXPtmuuucaYNGmSYRj0c2v5cfhprX59/vnnjbi4OJ9/N+677z6jT58+LaqXaS8/qK2t1dq1a5WVleXdZrValZWVpRUrVphYWftWWloqSYqPj5ckrV27VnV1dT793LdvX3Xt2tXbzytWrNDAgQO9r1CRpOzsbLlcLn399dd+rD7w3XHHHbr88st9+lOin1vL//zP/ygjI0P/9m//psTERA0dOlQLFizw7t+5c6cKCgp8+tnpdCozM9Onn2NjY31e8pyVlSWr1aqVK1f672IC2OjRo5WXl6fvv/9ekrRx40YtX75c48aNk0Q/t5XW6tcVK1bowgsvlN1u97bJzs7W1q1bdeTIkWbXZ+q7vYJFUVGR3G63zx8CSUpKStJ3331nUlXtm8fj0YwZM3TeeedpwIABkqSCggLZ7XbFxsb6tE1KSvK+BLegoOCE/zs07UODRYsWad26dVq9evVx++jn1vHDDz/ohRdeUE5Ojh588EGtXr1av/nNb2S32zV16lRvP52oH4/t58TERJ/9ISEhio+Pp58b3X///XK5XOrbt69sNpvcbrdmz56tSZMmSRL93EZaq18LCgrUvXv3487RtC8uLq5Z9RF+0C7dcccd2rJli5YvX252KR3Onj17dPfdd+vTTz9VWFiY2eV0WB6PRxkZGfrjH/8oSRo6dKi2bNmi+fPna+rUqSZX13G89dZbev311/XGG2/onHPO0YYNGzRjxgylpqbSz0GMaS8/SEhIkM1mO+5umMLCQiUnJ5tUVft155136sMPP9QXX3yhs846y7s9OTlZtbW1Kikp8Wl/bD8nJyef8H+Hpn1omNY6ePCghg0bppCQEIWEhGjZsmV65plnFBISoqSkJPq5FaSkpKh///4+2/r166f8/HxJR/vpVP9uJCcn6+DBgz776+vrdfjwYfq50e9//3vdf//9mjhxogYOHKjJkyfrt7/9rXJzcyXRz22ltfq1rf4tIfz4gd1u1/Dhw5WXl+fd5vF4lJeXp1GjRplYWftiGIbuvPNOvffee/r888+PGwodPny4QkNDffp569atys/P9/bzqFGjtHnzZp//4D799FPFxMQc94coWI0ZM0abN2/Whg0bvJ+MjAxNmjTJ+z393HLnnXfecY9q+P7779WtWzdJUvfu3ZWcnOzTzy6XSytXrvTp55KSEq1du9bb5vPPP5fH41FmZqYfriLwVVZWymr1/VNns9nk8Xgk0c9tpbX6ddSoUfrHP/6huro6b5tPP/1Uffr0afaUlyRudfeXRYsWGQ6Hw3j55ZeNb775xrj55puN2NhYn7thcGq33Xab4XQ6jaVLlxoHDhzwfiorK71tbr31VqNr167G559/bqxZs8YYNWqUMWrUKO/+pluwL730UmPDhg3GkiVLjM6dO3ML9k849m4vw6CfW8OqVauMkJAQY/bs2ca2bduM119/3YiIiDBee+01b5s5c+YYsbGxxgcffGBs2rTJuOqqq054q/DQoUONlStXGsuXLzd69+4d9LdgH2vq1KlGly5dvLe6v/vuu0ZCQoJx7733etvQz81TVlZmrF+/3li/fr0hyXjqqaeM9evXG7t37zYMo3X6taSkxEhKSjImT55sbNmyxVi0aJERERHBre7tybPPPmt07drVsNvtxsiRI42vvvrK7JLaFUkn/Pz1r3/1tqmqqjJuv/12Iy4uzoiIiDCuvvpq48CBAz7n2bVrlzFu3DgjPDzcSEhIMH73u98ZdXV1fr6a9uXH4Yd+bh1///vfjQEDBhgOh8Po27ev8Ze//MVnv8fjMR5++GEjKSnJcDgcxpgxY4ytW7f6tCkuLjauv/56IyoqyoiJiTGmTZtmlJWV+fMyAprL5TLuvvtuo2vXrkZYWJjRo0cP46GHHvK5dZp+bp4vvvjihP8mT5061TCM1uvXjRs3Gueff77hcDiMLl26GHPmzGlx7RbDOOYxlwAAAB0ca34AAEBQIfwAAICgQvgBAABBhfADAACCCuEHAAAEFcIPAAAIKoQfAAAQVAg/AAAgqBB+AOAE0tPTNXfuXLPLANAGCD8ATHfjjTdq/PjxkqSLLrpIM2bM8NvvfvnllxUbG3vc9tWrV+vmm2/2Wx0A/CfE7AIAoC3U1tbKbrc3+/jOnTu3YjUAAgkjPwACxo033qhly5bp6aeflsVikcVi0a5duyRJW7Zs0bhx4xQVFaWkpCRNnjxZRUVF3mMvuugi3XnnnZoxY4YSEhKUnZ0tSXrqqac0cOBARUZGKi0tTbfffrvKy8slSUuXLtW0adNUWlrq/X1/+MMfJB0/7ZWfn6+rrrpKUVFRiomJ0XXXXafCwkLv/j/84Q8aMmSIFi5cqPT0dDmdTk2cOFFlZWVt22kAzhjhB0DAePrppzVq1ChNnz5dBw4c0IEDB5SWlqaSkhJdcsklGjp0qNasWaMlS5aosLBQ1113nc/xr7zyiux2u/75z39q/vz5kiSr1apnnnlGX3/9tV555RV9/vnnuvfeeyVJo0eP1ty5cxUTE+P9fffcc89xdXk8Hl111VU6fPiwli1bpk8//VQ//PCDJkyY4NNux44dev/99/Xhhx/qww8/1LJlyzRnzpw26i0AzcW0F4CA4XQ6ZbfbFRERoeTkZO/25557TkOHDtUf//hH77aXXnpJaWlp+v7773X22WdLknr37q0nn3zS55zHrh9KT0/X448/rltvvVXPP/+87Ha7nE6nLBaLz+/7sby8PG3evFk7d+5UWlqaJOnVV1/VOeeco9WrV2vEiBGSGkLSyy+/rOjoaEnS5MmTlZeXp9mzZ7esYwC0KkZ+AAS8jRs36osvvlBUVJT307dvX0kNoy1Nhg8fftyxn332mcaMGaMuXbooOjpakydPVnFxsSorK0/793/77bdKS0vzBh9J6t+/v2JjY/Xtt996t6Wnp3uDjySlpKTo4MGDZ3StANoeIz8AAl55ebmuvPJKPfHEE8ftS0lJ8X4fGRnps2/Xrl264oordNttt2n27NmKj4/X8uXLddNNN6m2tlYRERGtWmdoaKjPzxaLRR6Pp1V/B4CWI/wACCh2u11ut9tn27Bhw/TOO+8oPT1dISGn/8/W2rVr5fF49F//9V+yWhsGut96662f/H0/1q9fP+3Zs0d79uzxjv588803KikpUf/+/U+7HgCBgWkvAAElPT1dK1eu1K5du1RUVCSPx6M77rhDhw8f1vXXX6/Vq1drx44d+uSTTzRt2rRTBpdevXqprq5Ozz77rH744QctXLjQuxD62N9XXl6uvLw8FRUVnXA6LCsrSwMHDtSkSZO0bt06rVq1SlOmTNHPfvYzZWRktHofAGhbhB8AAeWee+6RzWZT//791blzZ+Xn5ys1NVX//Oc/5Xa7demll2rgwIGaMWOGYmNjvSM6JzJ48GA99dRTeuKJJzRgwAC9/vrrys3N9WkzevRo3XrrrZowYYI6d+583IJpqWH66oMPPlBcXJwuvPBCZWVlqUePHlq8eHGrXz+AtmcxDMMwuwgAAAB/YeQHAAAEFcIPAAAIKoQfAAAQVAg/AAAgqBB+AABAUCH8AACAoEL4AQAAQYXwAwAAggrhBwAABBXCDwAACCqEHwAAEFT+PyWeuqsD88ooAAAAAElFTkSuQmCC","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["plt.plot(costs)\n","plt.xlabel(\"Iteration\")\n","plt.ylabel(\"Cost\")"]},{"cell_type":"markdown","metadata":{},"source":["## Visualise trained classifier"]},{"cell_type":"code","execution_count":21,"metadata":{},"outputs":[],"source":["linsp = jnp.linspace(-1, 1, 100)\n","Z = vmap(\n"," lambda a: vmap(lambda b: param_and_x_to_probability(param, jnp.array([a, b])))(\n"," linsp\n"," )\n",")(linsp)"]},{"cell_type":"code","execution_count":22,"metadata":{},"outputs":[{"data":{"text/plain":["[]"]},"execution_count":22,"metadata":{},"output_type":"execute_result"},{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAkcAAAGiCAYAAADtImJbAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/TGe4hAAAACXBIWXMAAA9hAAAPYQGoP6dpAAC/nklEQVR4nOydd5wU5f3437t7vfc7em9H74IFFATs2KKJBiWKUaNGMVFJjDWJsf7Uryb2FrvGhgVFFGxIFeXgQEC4o1zjer+93f39ccyyt7dlZnZmdvbueb9e+4LbnZ2Z3Z2Z5z2fz+d5HovL5XIhEAgEAoFAIADAGu4dEAgEAoFAIDATQo4EAoFAIBAIPBByJBAIBAKBQOCBkCOBQCAQCAQCD4QcCQQCgUAgEHgg5EggEAgEAoHAAyFHAoFAIBAIBB4IORIIBAKBQCDwQMiRQCAQCAQCgQdCjgQCgUAgEAg80FWOvvrqK8444wx69+6NxWLhvffeC/qe1atXM2nSJGJjYxk6dCgvvPBCl2Uef/xxBg4cSFxcHNOnT2f9+vXa77xAIBAIBIIeia5y1NjYyPjx43n88cdlLb93715OO+00TjzxRLZs2cL111/P5Zdfzqeffupe5o033mDp0qXcfvvtbN68mfHjxzN//nzKy8v1+hgCgUAgEAh6EBajJp61WCy8++67LFy40O8yN998Mx999BEFBQXu5y688EJqampYsWIFANOnT2fq1Kk89thjADidTvr168e1117LLbfcoutnEAgEAoFA0P2JCvcOeLJ27Vrmzp3b6bn58+dz/fXXA9DW1samTZtYtmyZ+3Wr1crcuXNZu3at3/W2trbS2trq/tvpdFJVVUVmZiYWi0XbDyEQCAQCgUAXXC4X9fX19O7dG6tVv+SXqeSotLSU3NzcTs/l5uZSV1dHc3Mz1dXVOBwOn8vs2LHD73rvuece7rzzTl32WSAQCAQCgbHs37+fvn376rZ+U8mRXixbtoylS5e6/66traV///5s2rSdpKTkTss6nR1Zxoy0eEP3EaCqptn9f6tVn4iW0+kKy2cTGId0HKk9hvYfqAUgKsqm2T4pob3dQb++qbqtP5zneKTjeY2S0OtaZQTiehh51NfXM3T4YJKTk4MvHAKmkqO8vDzKyso6PVdWVkZKSgrx8fHYbDZsNpvPZfLy8vyuNzY2ltjY2C7PJyUlk5yc0uk5p9NFZnp4TpaUlI59qazWT5KcThcpKeJi0J1JSUlxH0Nqjp/8UR3HYVFxDQDR0cZKkt3u6HJeao04D9QhXaMkPK9V3phdmiRJFsdBZKJ3SYypxjmaMWMGq1at6vTcypUrmTFjBgAxMTFMnjy50zJOp5NVq1a5l+kOZKbHuwVNOoEFAiVocfwM6J8GdMiKQOAL6Vrl/YCOY8/fI9xI+xCuG2GB+dE1ctTQ0MDu3bvdf+/du5ctW7aQkZFB//79WbZsGQcPHuSll14C4Morr+Sxxx7jpptu4ne/+x1ffPEFb775Jh999JF7HUuXLuWSSy5hypQpTJs2jYcffpjGxkYWL16s50cJC5np8VRWN7tPZLPfiQnMhefxo/bYGdA/jaLiGux2hyERJLvd4ZYyvTBD49zdCSQdntc0X+h5nfPcrhAjQSB0laONGzdy4oknuv+W6n4uueQSXnjhBUpKSiguLna/PmjQID766CNuuOEGHnnkEfr27cszzzzD/Pnz3ctccMEFVFRUcNttt1FaWsqECRNYsWJFlyLt7oJ0AofayIFoFHoikiCFgtGCZASiYQwfwb57OcermuugiBYJlGDYOEdmoq6ujtTUVHbu3G+qmiM5hFJLYvbPJtCPyurmkO/IjahBMipyJM6DyEWt7IvfvHtQV1dHbq9samtru9TAaYmpCrIFwRGpNoFaQo08ShGkSEaIUeQjfj+BEZiqIFsgD19Fj8EQKbWejVYNyoD+aaJAWyAQdHuEHEUw/nqGeP8tcu0C6Pj9tZLkSBQkETUSCARyEWm1boDnBd8z5SYaAoEvtEqvdacCbYFAIPBERI66Gd5jjQgEnmiZXhMIBILuipAjgUCgGq3Ta9HRtogv+hYIBJGPkCMvrFZLyOPCCARmR4vaIxE9EggE3RUhRwJBD0PrlKsexdlaR49Eb02BQKAEIUcCgUA1ekSPpCJvLQVJjAcmEAiUIORIIBCYDj0ECdSPriwQCHoWQo4EAoEp0VqQRPRIIBDIRciRD0RRtkBgDqKjbe4ebFpJkji3BQJBMIQcCQQ9jEiUA62iSFL0KNK+g8rq5ojbZ4EgkhEjZAsEPZBITDFFR9uw2x1uQVJbDO4tSGYfMNVTirwFyez7LhBEKiJyJBAIIgYpzQY9I4ok7ZvVaunykF438/4LBJGKkKMAiIuOoLtRWd0ckVEjbzwFKRRJMrMgSb+Vv9/LW5IEAoF2CDnyQ3doQAQCT/QQo3BO9aFVFEmSjEiNwghBEgi0R9QcCXRD7sVa1E3oj54RI0lQwoW3IHWHWiSlomO1WnA6XVRWN4vzSSDQACFHAk3xvKjLaYylC7on4uKuHZ41K90dLQu2PY/LcB2PSn8zIUgCgXYIOQqCuNAoR8lF3XtZb1kS37169BajcKbU/CFFkUKVJM/vzMjjMdTUmCRIAoEgNIQcBUBcaJShRerG8/1muHuPVIyKGIU7peYPrSQJ/IsSaHdcKo24ylmfOGcEAvUIORJogh7FoOG6e490jBAjM0aNfKGlJIF/eQf1x6XWv5e4qRMIQkfIkUAz9GyMpXWLaFJgjOiqL0mGWaNGvtBakqDr8a72BkGv30tEjwQC9Qg5koG4yJgHIUn+6Q5itKuwTNZyw0blqlq/HpIkYaaid1GcLRCEhpCjIIgQtTnxlqSe3gB0JzFKSIiRvayEUlny/AyeKUKtRMkMiGuXQKAeIUcCzXA6XYbfPZtpbJpwEelipESKJLyXDUWW9IwmmQFx8yAQKEfIkUATMtPjwzpCr1nGpjEavb9zM0WLAuH5/qamtk6yJFeUuqMkifSaQKAOIUcyERcX89NTU216TgmiZ9H1rsKykKXIF/5EKRRJgsgVJSFIAoFyhBzJQOTuI4uekmrTOp1mlBSBfmLkjec2lEaTPL+DSI8mCUESCJQh5EigKeGoO/JHd24QtEynGSlFIL9HmtZIoqQm7dYdokniJk8gkI+QI4FmhLvuyBfdOYoUqoQaLUWgXY1RKISSdov0aJLVaumW54JAoDXWcO9AJGG2hl8gH29JimS0+AyehdY9SYy8SUiIce/PrsIyRVEt6buLjrZRVFzjfpid7nQuCAR6ISJHMhEhaXlI0SOzpNY86U5pNrXfb0+NFgUjlNokiLy0W3c6FwQCPRByJOhRdOc0WzDCMe2HEWK0vcB3tCd/jLpRtH3VJimVJDB/2k0IkkDgHyFHAl0wU2G2LyK1YVAblTNSjDwjL3pIkS8ZSkvr+hv6Wk6JMIVSwA2RMQp3T75ZEEQeldXN1Ncbkw42pObo8ccfZ+DAgcTFxTF9+nTWr1/vd9nZs2djsVi6PE477TT3MpdeemmX1xcsWKD75/AsZhT4J1IusJ4NQ0/4XfUes8izZsezlkdLJOFJS4vv9PCF9zJpafFsLyjr9JCD9FnU1iZB59ouM9Yn9bRzQRA5SMekdFwaddOte+TojTfeYOnSpTzxxBNMnz6dhx9+mPnz57Nz505ycnK6LP/OO+/Q1tbm/ruyspLx48dz/vnnd1puwYIFPP/88+6/Y2NjFe/b/gO15I9KUfw+gTzMHj2CyBo4MpSokdZi5EsOjEid+RMhuXi+v6amuZMgyYkqhZJyA3On3SLpXBB0fzwlPRztiO5y9NBDD7FkyRIWL14MwBNPPMFHH33Ec889xy233NJl+YyMjE5/v/766yQkJHSRo9jYWPLy8vTbcUFImLFbfyC66/QjWkYnvIXIqAJrn2LkcmF1tBNlb8VmbyXK3orV0Y7LYsVlteG0WnFZrbgsNlxWa8ff7v93/JuWGgeWjouupygZIUlg3ulKRKpNEC7CLUSe6CpHbW1tbNq0iWXLlrmfs1qtzJ07l7Vr18pax7PPPsuFF15IYmJip+dXr15NTk4O6enpnHTSSfz9738nMzPT5zpaW1tpbW11/11XV+f+f1FxjaILkpRaExeM7oeZ75xD6QEYStRIt/ohh4OYhlpi6qqJrasipraK2Nrqjr9rK4mpq8ZeWkGUvZWZTrtbgKLsrUS1dQiR1eUMbResNtrik2iLS6QtPpm2+EQao+JpjU2kJS6J1rhE0gbm0p6QjD0xmda0TJozc2lJz8EVHQ1oK0lgrtokX13+zXROCLoPZpIiCV3l6PDhwzgcDnJzO18scnNz2bFjR9D3r1+/noKCAp599tlOzy9YsIBzzjmHQYMGsWfPHv7yl79wyimnsHbtWmy2rg3BPffcw5133tnl+ago43rt9ETM3K0/EGa7c1YbgQslahSSFLlcxNZWklB2gISygySUHSCx7ADx5YeIra3skKCGGizO0OTGE3t0LE5bFFanE4vLgcXpxOJ0BhQom9NBfGMt8Y21irfXmpLRIUqZObRk5tKckUNLRg41SZmUHcyhKSOXQZMGK16vGaNJ3jcNEuE+LwSRjRmFyBNT91Z79tlnGTt2LNOmTev0/IUXXuj+/9ixYxk3bhxDhgxh9erVzJkzp8t6li1bxtKlS91/19XV0a9fP/ffSqNHICai7QmYKdVmVNRIdtd7h4OkkiISDxWRUH6QxLIDR2Wo/CBRrfKEri0phbaUDFpTM2hLSac1JZ2DrTE0JaVjzczEHhOHIzqW9uhYHDEd/7ZHx9J+5P+O6FgcUTHu9FgXXC4sLqdbliwuR4dAOZ1EtbUQ09JATHMjMS0NxDY3ENN89O+Y5kZim+ux1NcR29JAUn0VKQ2V2OxtxNZVEVtXBXsL/X625tRM6noPxJqfT8vAIbQMHErLoKG05fYGa+C+MGaWJAlvaRfXQ4EczC5FErrKUVZWFjabjbKyzrUKZWVlQeuFGhsbef3117nrrruCbmfw4MFkZWWxe/dun3IUGxvrt2A7OtqG3e4Iug1PxICQPQdfd81GNgKhRI20EqPo+hpSinaRsm8nKUU/k7LvZ1L278bW1uprNQC4LBaaM/Noyu1DU25fGnP70pzTm5b07CMilEFbciquqGj3ezyLo0MtvHZjsRypNer6XbQmptBI104h/qipaQaXi/imOsbnuIirLCO+qoy4qvKO/1d2/BtXVUZMYz3xtZXE11ZC4aZO63HGxnXI0oAhbmlqHjqSloFDwSvybUZJkvBs2LyjSt4IcRJEihRJ6CpHMTExTJ48mVWrVrFw4UIAnE4nq1at4pprrgn43rfeeovW1lYuvvjioNs5cOAAlZWV9OrVS/W+iuiRfkRCr7VgeO6/EakFoy8kuwrLwOkkp/ogqZskCdpJyr6fia8q9/me9th4GvoMdMtPk+cjq5e7LicYukiRDkj7VmOx8H0jEJdG/rwTfC4b1dRA0sF9JB3cS9LBvcQX7yHl0D6SSouxtbaQsHMbCTu3dXqPIz6BppFjacofT+Po8TTlj6O170CwWEwtSRD8GNWic4a41kYmkSZFEhaXy6VrCOSNN97gkksu4cknn2TatGk8/PDDvPnmm+zYsYPc3FwWLVpEnz59uOeeezq97/jjj6dPnz68/vrrnZ5vaGjgzjvv5NxzzyUvL489e/Zw0003UV9fz9atW2V16a+rqyM1NZXVawpJSkoGOi46Si82TqdLnLAyiMS6Izl4Rw+1OhZCHc9D7oCPluZmErf9QOvnq8nauYXs3VuJbqr3uWxjbh/qBgynbuCIjn8HDKcxr1/Q9FAgwiFF29fsAyB/1sCQ11VTc/SiL3dwyeb6JhIrSkgp2cvg9kri9u0mbt9u4n/ejq25qcvy7SmpNI3qkKXG/A5hsuf0wt5+tJbKTJKkJ2aI1ovrvTL0GJuovr6OESP6UVtbS0qKfkPx6F5zdMEFF1BRUcFtt91GaWkpEyZMYMWKFe4i7eLiYqxeF9idO3fyzTff8Nlnn3VZn81m46effuLFF1+kpqaG3r17M2/ePO6++25VYx1JSJNHiuiRQC7BajBA/sVU67srX2IUVVlB0o8bSNrS8UjYUYDF0d5pmfbYeOoGdpagugHDaE9ICnmf5I5srQWSBHmTnZPo93WlwuSOJB0ZBkCOIMUnJ+BMHsKhvH4cAoYtOvIeh4O4fbtJ3PYjCYU/krjtR+J/3k5UXS0p674iZd1X7nW0ZedSP3kG9VOPpXriMRQdeb67S1K4b7B8pQ7Ftd83Rg/YqAe6R47MiK/IEYjokR50h5NELUrvdLX4jjyjRlGVFaSsXUPyhm9J2rKeuANFXZZvSs+metQkqkZNpGrkROoGDsdlC+2eKdDI03pHiDylRxIhuVSUN7r/ryayJEWSlExR0tTUMeCtr+7/Fnsb8bt3kLD9JxK3bSFh+4/E//IzFkfnGsnW3v2onTyD2skzSTlzAc489eUFAvl4nt+iDTiK3td8oyJHQo485AiUC5J0goiTwzfdNaVmStrbqfzkSzLXf0XKt1+SuGNrp5ddFgvNQ0fSMH4qjeOnUJA0iMasXiQkqo+4grERoYD7cUSMlEqRN6FIktaC5I2luZnEgs0kb/yOlA3fkVjwQ5foX/OAIThnn0jbcSfQOuN4XF4D6wq0Ra/0eiRixM2wkCMdCSZHoCxEHUnRIyN7lPTkqJFRWMtKiV29itgvVhL71RdYazuP2dM4ahx1x5xAw6TpNI6dhCM51f3arsIy1QM7egtRuAuptRIjT4yUJEmQQNkgktamRpK2rCd5w7ckb/iOhB1bsXhc0l0WC/Yp02lZcBot80/DMXiI7HULlNPTb5aNuBkWcqQjgeQIukd6LZAE+Tt4laSB/H3WSO2ZEDG4XET/sIm4Tz8i9ouVRG/rHB1qT02j7phZ1M48kboZs2jPzPa7KjVyZLaeZXpIkTdqJUnvKJIvbHU1JG36npQN35K04VsSfvm50+v24SNpXXAaLQtOwz5uYkgF9QLf9FRBMipLIORIR+TIESiPHkF4TwhvIdLzQPUnUkKIdMDlImrrj8R/8A5xy98lan9xp5fbxk+kfPLx1MyYTev4yV3GyvFFKGJkBikCY8TIEzWSFA5B8iS67BDJX3xK+lefkbJpLVaPFJyjV29a5p1Ky4LTaJtxHMQYM1deT8EMbYKRCDnqBgSTI1AfPQLjTwYRremeRO3YTtwH7xD/wTtE/bLH/bwzIZHWufNpPXkBrbNOwpmVrXjQR6VyZCYxCqXoWgskSTJ7FMkbZ1UVad99ScZXn5H+/RqsjQ1HX0tJpXXOPJrP+RWts06CKFNPnhAx9BRBMrKEQsiRjsiVI1DePdbI9JqQou6HbfeujgjRB+8Q/fPR+QddcXG0zJ1Py5nn0HLSPEhIcL8md1wjT5TIkRnFKBxS5EmkCpJEe0MjqZu+I33NZ2R9+zm2wxXu1xzZOTSf8yuaz/817fljNN1uT6QnCJKRHW+EHOmIHDkCc0ePRLFz98FSU03822+Q8MbLnWqIXDExtM6eS/NZ59I6bwGuxK5jDektRtAhR+EWo3BHi3wR6YIER24CHQ6Stv1A5ucfkvP5B9iqKo++nj+W5vMvpPmcX+HMlj/ViqAr3VmSjJKjouIaGhvrmTtnjJAjPVAiR2C+6JEQo26Ay0X0+u9JeOUF4j98D0tLS8fTUVG0nnBiR4Ro/qm4UtP8rkKNGEHkRI28B2o0ixR5o1SSzCZIEna7A0u7nbTvVpP1yf9I/2YVVnvHdl02G62z59B8/q9pmXcqxMXpth/dme4qSEbIkXS9a21tYvasUUKO9ECuHIG66BHoJ0hCjCIbS3UV8W+/TsLLLxC9a6f7eXv+GJouupTms84NOi6NWimSUCpHRoiRrxGrzSpDvjBCkMAYSZJwHq4k6/PlZH38P5K3/eB+vj0phdZzz6fpd7+nfdgI3feju9EdBUlvOfK85jU01As50gulcgTqokeg7QkgxChCcbmIXr+WxP8+T9xH72Np7ZjN3hmfQMvCc2m6eDH2CZPA4v93lS4OEqGIESBLjrSOGvmb0gMiS4T8UVHeqHuKDYwVJInYfXvI/OhtMj/6HzFlh9zP10w7ntJfLaZm5oldhgXo7tOZhEJ3EyQ95cj7ZlDIkY4okSMwR/RIiJExeEtIKFibm8he/gZ5//sv8UVHe5s1Ds+nbOFFVM4/C0di8ONPQq0QeWJ01ChSUmNaoUaQlMoRhEeQAHA6Sd7wLdlvvkDams/cA0629B1AxQWLOXzGr3AmdzRY0o2lWTGDvHUXSdJLjnxFyYUc6YhRcgTaCJJRYhRMDMxwMdESf583VAmJqq4k+43nyXnzBaJqO7bhiE+gav5ZHD7nIpryxweMEumJUXJkxgJqI1BbpB1RgnSEmIPFZL/1IlnvvU5UfcfI7I6ERCrPOJ/yXy2mdaB5R+OWK25GXPO6gyDp1Ub5GqJEyJGOSHL07FNrGD85+AmsNrUGoR/4eh50vggkBoEuKJEkTp6fXYtojETMgSJyX36KrA9ex3okddbSdwDlF11B5ann4JQh4nqiJKUG6uXILN3tw4VR9UcQfkGCjghpxkf/I+f154jfu8v9fO3M2ZT/+nLqZswK281AKPi73ulxresugqRlO+Vv7DYhRzqiVI4g9OgRqDvw9TjgJLQSAyMvImrRS4gA4gu3kvfSf0j//EMsTicAjfnjKb3kKmpOPEXWiNVGYEQX/u1r9vVYKfKkpwkSAC4Xyeu/Ief150j9+nN3yq0xfzwlS26g9vg5ESlJnnhf67S+xkWyJGnZVgXqdGKUHIlhUA3AarUomrdMQi8x0loOfK3Pbnd0iU4ZLUtaFTH7xOUied3X5L30H1LWfe1+unbmbEoXXUXDlJkR3RAIMQqN7JzETtONBCMtLd4tSEqRhFeKDIZNkiwW6qcfT/3044nZv4+cN18g651XSNz+I0NvuJTGkWMpWXI9tbPmRey54XkN8b7GaXF9k9qKyurmiBQkLdCrnVKKiBwZEDkCdbVHRpm4UfiKMGktTLoK0RGS131Nn8f+ReL2H4GOMWCq5p1J2aKraB6er/n2tEDvqFFPT6X5wsjokYRpokhHiKo6TO7LT5L95ovYmpsAaBoxmpLLr6dm9vxuM/Gt1hElz5vpSJEkrdqrYFMhiciRCSkqrjFVqkguZhAjf9v3V/sk93v29X69PmdCwQ/0eexfpGz4FgBHXDyHF/6a8ouvoK1XX122GUkIMeqMkdEjiYSEGJqa2sIfRTpCe0YWB6/7K6W/vYrcV54i543nSdi5jSF/XkLTsFGULLm+I/Uc4ZLkL6Kktr2QJKOnRZG07C0cKj0+cpSQkCT7AmJk9EirQmyziJFS5PYmMeJzxe3dRe9/30f6F58A4IyOoeK831L6u2tpz8jSffuhojRqBMoiRyJq5B8je695Y7YoEoCtpprcV58m5/XnsB2Z+LZ5yAgO/X4pNSedGrHpNl9oFU2KpChSqNEjORNoi8iRQZjpwuGNVim1SBMjMMc+R5ccpPfTD5G5/C0sTicuq5XK086j5PdLIyZSJEUQ9EaIkW+URo8ktheUhSxI3lEkCP/1zpGWzqGrb6LsoiXkvPoMua89R/yenQy56ffUT5jGgRtv7xjqohugVTSpp0aRwk1kxzIjCKUF2Znp8aqKuAWhY6uuou9DdzLmnBPIev8NLE4n1bPns/31lRTd8VDEiZHSqJFAewKNDu6NltO1JCTEuB/QcUxIj3DiSE2n5Ko/s/Wj7zm05HoccfEkb1nPqN+exsDbrie6vCSs+6c10dE2tywVFdeoSh9ZrRasVguV1c3uzEJ3Qk7UyEh6fORILqGm1MD4kKhW+VslF9Jw35mGgsXeRs6rz9Dr2UfdIf/6yTM4eO0tNI6d7Pd9ejU0ar9Lz/0RYhR+whk98sTzWPCOKIWTHbN+S/yYeYx763EGffMRmR+9TernH1J42iW0L70RZ3xCuHdRM6TGP9RIkhRFAvOn2iIVIUfdnFBMXGkj6++CGwnClLTxO/r/66/uQeyaRozhwLXLqD/mhE51EP4aFD0kJJTGS0iR+di+Zp/s2iMtirMDYbrjI6EfW5f+i/1nXMzo5+8jc8cPjH3nSZq+fJefLriGfTP1L9o28joVqiSZNdWWmR6v+yS0RiHkyAAiLT2mNvLga1lfwmQmWYqqKKPvw3eTueI9AOzpmRy87q9Unn4eu3ZWwI7yTssb2aiYrgETqMYs0SOzUzNsDN/+40V6f/cp+S/9PxIqDnHME7cx4vM32bb4JqpGTdRt2weLqt1F7HLQ4jrmefMaiiSJKJL29Gg5GjIix7BtqT1onU6XoRaudZ2K93pMI0vt7eS8+QK9n3gQW2M9LouF3XPO46fzr8aemAI7KwAhKMFQUksjUIbe0SPTYrFw6NgFlE49kcEf/pfhbz9N+u4CjvvrIormnM32S27EnpSqy6aVnO9aR8k9a5JAuSSJVJu29Gg5kksos0uHEjWSQpRGYUQBr691G52KS/xxI7l33ER68c8AVA4ZzcZLl1E9aBQJCTFE67bl7omWPdUKVu31+9qYOYM02044yM5JVJRak+hp0SMJZ0wsu8+5nP0nLmTka48x4PP/MWDVu+Ru+pqtS/5CyYyTw7p/cq5laq5jaiXJrKm2SEXIkUzCMems53qMih6FI1IiJ7rkidwLjvc6YuqrmfDaowz+6gMA2pJSKLz4eormngtWK92n7DM0thcYX6jrKUW9BqR1eb2kqMa9TKRLkhJ6bPTIg9b0LH68+g72n3gm4/99O8kH9zH1/qUcOmYuWy//C60Z2eHeRTfBit6VyFKokhSuKFJ3qTsSchQEtVEjrcTIqOiRWXquQGBBU9LLxnM9ueu/ZMJ/7iC2tgqAojnnUPjb62lLSQ9tZ7spWnYnD4YkPb6kSMLztZ4oSQKoGjWJNQ++zfC3n2Tou8/T+/vPydq6ju2X/IniOWebbgDJYDd9ckUpFEnqjqm2PTvLgy+kAUKOZKC2C7+WB6MR0aNIqK9Ruo9RTQ2Mfv4+Bqx6F4C6fkP58erbqR4xQYe9EyhFjhh5Iy0biZKkJrWWlhbfY1Nr3jhjYtnxm+s4NGM+E/59G2l7tjPh37fT5+uP+fGq22nK6xfuXfRLoKiSHFFSI0neqTboPpKkN2IQyACEGjXSCulgjrReb+Emc9sGZt9wLgNWvdtRcL1wMV/d/7oQI5OgRow88ZYkQc+hbtAIvv7XK2xbdCPtMXFkb13H7OvPYcj7L4JDfY2oUfgbnFMOagaTlAaQBAyrY4309kpEjvwgiZHSqJFW6TRvjC7OjmSsba2MeuVRBn/4XywuF425ffjh2n9Qle9/IMdQCKVGp6dHA9SKkef7S4pqNNkXIxGF2aHjskWxZ+GllBwzh/H/voPsgvWMfvEBcjZ9xebr76E1w7jeyKEgCZKSaJLacZKMSrV1h/ZKyFEAzCJGkUYgWdD74p66ZzsTH/0LKfv3ALDv5HPZdumfccSH1qMqmACpqdGpqWn2ud6e0AD25GiPmjGPIrkwW8nNg5pjvymvH2vvfIb+n/+PMc/dR3bBemYvPY8frv075ZNPULy+cOEv7aZEktSk2vRsr5SWg9jtDtNMIWJxuVyRHftSQV1dHampqaxeU0hSUnKX19VEjYwSI6W9AOTOV6Nm5nYJ74ufP1EIdnEPRQosjnaGvvMsI958AqujnZa0TH68+k7KpsySvY5AF3GjCpS9vyOjRWl7QZmiz7p9zT5VXfkLVu0NOWrkSUlRTUTVHlWUNyqOHEHH8WFmefZ3Dsk9puQIYKDPn3hwL1Me/DOp+3YCsOeMRWy/+Hpc0ZE5QIfnoJRy6pKUtl2eqS892i492qsfN+3hsitmUVtbS0pKSqi76BcROfJCbToNembESLoYyrn4BVtGzh2mrwtjTG0Vkx+6ieyt6wA4dMzJ/HTl3zr1RJOzbiN7aMnZB+/IkpkbRYFy1KTWwHzpNc9jNNRzKNj7/UVboeP8aOwziK//9Qr5Lz3E4I9fZcjyl8jYvonNS++jsVd/xfuj5bAWan4zXym3YJEkJak2I6JIRg9krBVCjnygJp1mpBiZ5WBTIkZyUHNh7HVgB2e/ficpdRW0xcTx6el/ZNv4uVDcBmh30Q4H/kRJr4YxHOMbaUEk1hypnU7ETOk1rc9/OQSKSnsevwXH/I5hqSM49b0HSN+zjeOWns+KM66ncNxJmmxPDaGk0JVIktpUmx6CpKb2KFhqzaiZLYQceaCmd5rRFflmK3QL24XR5SL/2/c49n+PYHPYqc7pz2eX/ZPqXoNIM2yPjEP67HpLUiRKJERWd35PIjF6FA4pCoavfamYMZe3R45lzkt30nvPj5z19j8Zsf9HvjnvBtpjjd93731UExn2liS5UaRwChLIv6Ef0D9Ndg88vTGkK//jjz/OwIEDiYuLY/r06axfv97vsi+88AIWi6XTIy4urtMyLpeL2267jV69ehEfH8/cuXPZtWtXSPto5jojM6K0NkVLbG2tnPjKPzjhzQewOez8Mn4W79z4DNW9IrOBVEJaWrz7e99eUBax0R6B+mlXwnXeeR5vZhKjQDSm57L8mkfZuGAxTouVkes+4uz/93uSK0vCvWvuc1l6SN+vnHNaGgYg2BAA0dE2oqNtsrv969HdX037GMqUXVqhuxy98cYbLF26lNtvv53Nmzczfvx45s+fT3m5/1EuU1JSKCkpcT+Kioo6vX7ffffx6KOP8sQTT7Bu3ToSExOZP38+LS0tIe1rpNQZZabHK4pYmeFA04rkwwc5+//9nhHrP8FpsbL2rKv57Hf/wB5ib7RIQ2tJCqfshkIkptS0wkgx9pSiSDtOXLYoNp56OcuveZTGlEwyD+3hnAcvJ++Xn8K9a51Qc07LHSfJewDJQEhjImmdoZDbZqkddFlrdJejhx56iCVLlrB48WLy8/N54oknSEhI4LnnnvP7HovFQl5envuRm3s0dOhyuXj44Ye59dZbOeussxg3bhwvvfQShw4d4r333lO1j3a7w/R1Rmoxy4GmBf23fce5D1xG1sFdNCel8eEfHubHOReZbtoAI9FCkiI9+hSpKTU4OmK2Ujx/c72JtGiRP0qGTeSdG5+mou9w4htqOOP/rmP4uo/DvVtd8BVNCoT3YJL+UCJIEloJkpqBjMN9U69rzVFbWxubNm1i2bJl7uesVitz585l7dq1ft/X0NDAgAEDcDqdTJo0iX/+85+MHj0agL1791JaWsrcuXPdy6empjJ9+nTWrl3LhRde2GV9ra2ttLa2uv+uq6tz/z8S6ox6PC4XE1a9yvTl/8HiclE2IJ/PfvcPGtP1LcxT02j5Q01diRLU1iRFcsPXk6NGcLQ4W8/6o0g+PnzRmJ7L+3/8Nye+/HeG/Liak175Bxmle1l3xpW4rOYYX8cTbwkO9DsnJMQErUVSUoekdQ2SknpZM9Qe6SpHhw8fxuFwdIr8AOTm5rJjxw6f7xkxYgTPPfcc48aNo7a2lgceeICZM2eybds2+vbtS2lpqXsd3uuUXvPmnnvu4c477/S7n5FaZ2SWXmt6YnE6OPZ/DzPm63cA2Hbc2Xx79nU4o9XPA6dEetTWhcjZph7C5EuSoOtFVcvu1+EkkqNGEmrmW5PQU5C6mxhJtMfGs3Lx3dR88gyTP32RCateJa2siFWLbsceZ870vOfvDP4lKVIESUlxdrgGhTRdb7UZM2YwY8YM998zZ85k1KhRPPnkk9x9992q1rls2TKWLl3q/ruuro5+/frR3u5g+LA0xeszgxjp0WutqanNVJPP2tpamfPSHQz+6StcFgvfnX0dW2f/KuB75IiPVsKjBO9tVpQ3dtpXrUXJu0GTO1CnEtQOAKkF3TFqZCZB6q5i5MZqZcNpV1CdO5DZr97DwIJvWfjwVaxYci/1mb3CvXc+8b7xCSRIgOaCpCVKbuzDNWq2rnKUlZWFzWajrKzzhbmsrIy8vDxZ64iOjmbixIns3r0bwP2+srIyevU6ehCXlZUxYcIEn+uIjY0lNjZWxSfoTHdOpw0blSt74kMjiG2s5ZSnbiZv71YctmhWLbqNXyaeFFR+wtVYK8VzPz1FSa/0W3dq5CQx6g5RIwm14x5JaClI3V6MPNg9ZR51WX2Y/8wyd6H2J0vupXzQmHDvml+U/NZyBEkuWkeP5AhSONNruhZkx8TEMHnyZFatWuV+zul0smrVqk7RoUA4HA62bt3qFqFBgwaRl5fXaZ11dXWsW7dO9jol+vVNVbQ8mCNqpIZwF7cpIbmyhIX/70ry9m6lKTqBx4+9mQ/rBrsFIjsn0e8jEvHc9+1r9mla69Td6I5i5Ekov70WRdo9SYwkygeO5p0bnzlaqP349fTZuTHk9UrnstyHEuQUbMsp0gb5Pdi0REmB9oD+aWFpv3TvrbZ06VKefvppXnzxRQoLC7nqqqtobGxk8eLFACxatKhTwfZdd93FZ599xi+//MLmzZu5+OKLKSoq4vLLLwc6erJdf/31/P3vf+eDDz5g69atLFq0iN69e7Nw4UK9P05EEkk91ureX83p915Oenkx1fEZvHTOv6gdPSXiBUgOQpLk0V3FSItjOxRB6oliJNGYnsP7f/w3+0dOI7qtmVOe/DMDtn6jeD3eshPoRs77mqZWksD/7x1MkJT2YNNj/CO5GRmjBUn3mqMLLriAiooKbrvtNkpLS5kwYQIrVqxwF1QXFxdjtR51tOrqapYsWUJpaSnp6elMnjyZ7777jvz8fPcyN910E42NjVxxxRXU1NRw3HHHsWLFii6DRWpJd06pmQXHm8u57vuHiWtvoSxjAK+d9jfqk7LCvVuGI10spXSb3j3d1BAOcYu0yWXVEEpxtoSSHk6ey3m+tyfSHhvPJ0vuZe6LtzP4p6+Y9+xf+OK3t7Fn8tzgb4ZOQqQUz/coTbEHm1JGKtL2h9z0mh61R3JrZ8ORXrO4XK4e1+rX1dWRmprKzp37SU6WN6uvGcc1UjLjsZyq/12FZbILsrW+y7S+9j9+9/0jRLkc7O09lrcW3EJrbPeNEslFqkMxmyBpUYxdsGovvQakyVq2u6fTPNHyN/fVaEqyZAYpkivZRh7/Fkc7s1+9hxEbVuCyWFhzwU3smHmm3+U9P4NWkW3P+jO5n72mptmvCEty5K/+SO4MEXq1g3LbsqLiGlpbm5g9axS1tbWkpMhrv9Vgut5qgvAhFWXLEaT8MbmaDUBnef0dtxhtHzKT9+bcgMMWrcm6Ix3PkDuYT5KMoCeJERwtztYiauhLesItRd5CFEwovHt2gr7ngcsWxZcX/ZX2mDhGf/ses1+/l+jWZraeeEGXZUOJFgVCbfTYX5G2VtEjvVDSxb+93Zj9NGRuNYHAH/22r+UyDzF6Z+6NQox84C1J4UTLfQjUJb+kqMadSuspYiShZ22d5wjMRuOrFicYgepzdDsfrFa+/tWf2DLnNwAc++6jTFrxPHgkWvQSI0+UnPfBfk9pLrZQ0XPi82BpOyPrZ0XkSBASNTXNqi+yfQvXMf+ZvxDlbKdw8AzenbPUdKPUFqzaG3QZoxpuLSMKWuxLqIyZM4iCVXvdgiSl2DyFqadJkSda1B+ZCa3GxTJsGAyLhe/PvJq2uCSmffQU0z5+hui2FtadcSXbvyrqsi96ofS813PEdD3qjiTkdvFX08tcDUKOBKoJJbXWZ+cGFjxzC1HtbfzYewofzr0Rpy18h2MgCQpWF+PvvXo07OEWJK3v1D2/I8/vsSdLkTfdQZD0ivD4KmQGDUXJYmHz/Euwx8Zz7DuPMPHzlzlQ0sb2kWcZ2nNW7jhYwYqzAxEdbZM1KKSe6DG4sVpEQbYoyO6C0sJspZGj3j9v4tQn/0SUvY29Y47j0WFLyMgz5m5AwpfQyC0OloN3ukjrxj5chdrhHBW7p2LWony5GJF+8kRNMbMcxq5+k2PfeQSAj064ks2jF2i2brlUlDcG/UySHAUqzg5UmB2uomxPArVt9fV1jBjRT/eCbFFzpACzGK0a9BpIK39MrqI7ld67NnPKk38myt5G0eiZrFx8Nw6rcRGjglV73WLUa0Bap4eWeK/Xc7taINVfGFmDZIZ6p56ImerNlGK0GEnb0mO8sDcs01gx8mwATv3qSfJ3Kx8HSQuCfZ7uMhxDuIfPEXIkk+4+was3gXo2qCWreAenPHkT0fZWivOP4dPf/SOkCWSV4i1FRuEtSVpitCCJqFF4iGRBCtcxo2UBt/S+DbMXsXH0Aiy4WLjqYQYX/6DR3sqjp5x/ZsjSCDkSdMFfyDUQwaJHSVWlnPLUTUS3NXNgxBQ+veyfYROjcKFnFEnvEbVFOi38RJogmWU/Qx2JulP0y2JhxXFL2Db0OGzOds7/9F/0Kd2hw14LILzRIyFHConk1JpeBOsZEdPcwClP/pnEukoqew/h09/9E0d06BMBy8UMYiShVxRJz4bTLI2cIPIEyWxC7S+a5C1MvqYBkXBZbbx30h/Z3W8iMe2t/Prjv5NdWWTkx+gRhDt6JORIAd0htaak7khpas1X9MjqaOfk524ls+QXGlMy+fj392OP73zBzJ81MKQZyeVgBjHyJFIEKRw1I3pSUd7Y6RGJRJogmZFg85sFm9DaaYvm7fk3sz93BPGtDVz04R2k1WkzKK6ZMWPHJL0QcqSCSI0eKemiqTS15jN65HJx/JsP0G/nBuwx8Xzy+/tpTNdn/I1IRA9h8yzUDqXx9G4kIhVvGcqfNdD98PV6pCAESXuUTm5tj47j9VNvpTyjP8lN1Vzw8T+Itkdm22BWMtPjw5ZaE3KkkO4QPVKCkuiRd8+1CZ+/zKi1y3FarKy89E4O9xuhxy5GNL0GpGlepA2EVF/RHaJFnrLjLUQSns97ylKkYGZBMuM+6UFLXDKvnnY79Qnp5FQXc9YXj3YaRVsQufRoOdp/oFbV+6xWS8RGj0B+ak1NYbbEkM2fc8zyJwD49tw/Ujzm2IDLG5FaMzN6CZJcSfKWokgVI19SJBfvaFIkYGZBitRjSCn1SZm8Pf9mHNYoRv2ylmM3vx3uXRJogBghOwQqq5vDnn8NNtS6NwP6p1FUXCN7eSWT0cKR6NEnX3Liy/8A4KdZ57PthPNkb68n0mtAWsA5xkLF3yjC/paJVLQYLFF67/Y1+6gob4yI7yXco6YL4EDeSD45/gpOX/NvTlz/KmVZg9g9YIrm25E7CGSgASD9IWcAyJ5Ej44cAYpEwRMzpNdCETOlA0LKTa9F19dw1pt3E9XeMfr12rOvVbQdPe7Yx8wZpKt8aIUe0SNvfBWiRoIABMK7nkgLIi3NZuYIUk/hh/x5bMzvGAPp7M8fIqPmYLh3ySdqMwI9qRgbergcRUWFPslpJKbXlN4dyD6ZXC4m/t+tpNZWUJXZhy8W3aZoIlm973rNLEhm600XKeg5tYYQJIFSPj3uMorzRhHX1sSvVtxDTFuTZuuOlOOwu9Cj5UgikqNHoG6gLDXTiQSLHg354CXyNq7BER3De7/6GxUt5jm8pLnNzCxIAmUYMedYpKWpwjGtjOAoHV38b6IuMYPs6gOc9cUj4HJqtv5IOx5DRcn8oVpjntYrTMidjNUf4S7ODjXMqVVxdvrOHxn18sMAbFt8E1knBy7A9oeehdmegiQkKXLRI40WiEjsLGDEqOkC3zQmpPPW/Ftot0Yxcu86jtv8v5DXKff406veKNzznIWDHi9HEmqjR2ZA7VgQatJrvk6w6IZaJj90E1ZHOwdnzmff/F+5X1MyKa0RjJkzyJRRJDPti5kJ5wz1kShIINJs4eBQ7nA+PuFKAGZteI1e5btDXqcWx3woPZCNrjcKd8mKkCNCjx5B+H9ICFN6zeViwmN/I6HiEI15/fjx6jvA0hEGDTatSCD0bojMGEWS9kngm3CKUaTVH0kIQQofP46cw/YhM7G6nCxc9TBR7a3h3qWII5ylK0KOPIjk2iPJ6tWGP9Wm1wZ99Aq91n+JIyqajTc+QHtCUpf3KI0eGdX4eUeRwiVKZpEzMxNOMZKI1HoPIUhhwmLh4xOupD4hnayaA5z0/X9VrUZO930ILaVmNswQbBBydAQtokfhRm3YU0qvKZ13LWXvTka/9CAA2y79E7VD8rssZ+bokYQkSb5ESU9x8Vy/iBr5xwxi5EmkRY/AeEGKxDotPWiOS2H5iR3DmUzf+iGDDvwYtn0JlFIzU72RJEbhDjoIOepmGFF/NGxULhang/H/vh1rezsl005k3ym/Dvges0aPvPEUJX+yFKoweUuRECP/mE2MzLIfahARpPCwp/8kNo5eAMAZXzxKXGuD7PeaRTCNrjcKtxiBGCG7C0XFNd1ilFClI2dL2O0OWVG0mVs+In3PNuwJyfx0xd/cdUa+yB+Ty/YCdTNWh3uUYl/iUrBqb8iCJIQoOGYTI4n8WQPdk/KGSqCBP/U4RsRo2uHh8xmXMujAT2TWHmLB10/x3tylst8bakotkjBDOk1CyJEH0dE2U+ZflZKZHk9ldbNuU4vEHCym97/vA2DbJTfSmpGtdlcDIjVCZkOIjXGE2oAHilimpZljtF9fA4DqPZ2MUYIU7psbs2CPjuP9k/7Ipe8tY+yur/h54DS2Dz3OkG03NbX5TamZccoQM0SNQKTVui1qC7SD9l5zuej/z2XYWpqpn3wMO2aeLmu9+WNyVXXrF7ULPZNQfvOammb3AzqOPe+H53JqMOK41HM6GSNSbCIy1ZmDeSP4dtK5AJzy1ZMkNAee+FxuIXZ3Qe6Aj2onjFeKkKNujB554oxP3iH1+zU4Y2Ip+ut9AdNpWiIEqeegNp3mT4h8oZUk6YUUTYp0QRJ05qvJF1CaOZCE1npmr39Fk3XqeewaNZ+amdJpEkKOegBaRY+iqivp98AdAJQsuZ7WAYMB+ZPSgroTuSfdPfV0QhEjIKAQ+cJbkpSgd/SouwiSuLE5itMWxYrjlgAwaftK8ir2+FxO6Xempgu/WVDSO62ouEaTOVHlIOSom6Ol9fd96E6iaqtpGjqS0t92jP6qZMTVUAoGRXqt5xCKGKnepkpB0hsjBUkPxI1NV/b3Hs3WYSdgwcWCb54Gl++bV62+u0ioN5IrRkYi5EgDzD7vjNru/Z4kr/+WzI/fwWWxUPS3+yE6WqO9U4YQpO6L0t9WSocpjRb5Q60ghXpMBiu+9lWwrTV6TlYrbmy6suqYS2iLiqNf6Q7G7lqjej1mk3mlyE2nSWJk5HiEQo40wuhxIPSmU2rN6aTPo/8AoOL8RTSNmRiWfYrUKRwE8pF7t6xFtMjn9hUKUqh390p6PuoZPZIQ6TVjqE/K5JvJ5wEwZ+2LxLSpl5xI7cKvdLBHowdqFnIkCEr65x+SWPgTjsQkSq6QPz6HP0K52xGC1D1R0jNHLzGSUBNB6i7RI9BHkER6rSvfjz+LqpQ8kpuqOW7zW+7nteqlFmq9kREZEbnptHDMYCHkSBAYu53ej98LQNnFv6c9PTOk1WmS/pg10B2qF5LUs9BbjCSUCJKR0SO90bv+SJyvR3HYovns2MsAOObHD8ioOaT5NpTUhPpCr4yI0nRaOBBy5IGaASDNXm8UKtnvvkrcgSLsGVmUXXxFuHenEyKK1D1QeqdsVBpB6Xb0jh4ZiUivGcOuAVPY1X8SNmc7J3/3vKL3hhKBN0MxtlnTaRJCjrxQc8B0t3ojCWtTI72eeRjo6LrvTPB9VzlsVG7Yuox6R5HEhVcfClbt9fkwknBNkSCiR9ohbmi8sFhYOfMynBYrw4s2+O3a749IrDeSO9hjuNJpEkKOBD4pKq6h1+vPEF1ZQUvfARw++zd+l91VqG7eNC2RJAkQoqQTvQakdXmEKkhyf6Nw9crpydEjvRCC1JnK9D5sG3o8ANO+e61b12dFQjpNwhA5evzxxxk4cCBxcXFMnz6d9evX+1326aef5vjjjyc9PZ309HTmzp3bZflLL70Ui8XS6bFgwQK9P0aPIqq6kt6vPAXAoT/cjCs6JuDyCQmBX/dE7VQistZ9RJKEKGmH3hGiYI2BUXVG/pB7vGoVPTKDIOnZtR+EIHnzzeTzcGFh/KGNZBzcHfL6zDz4o9nTaRK6y9Ebb7zB0qVLuf3229m8eTPjx49n/vz5lJeX+1x+9erV/PrXv+bLL79k7dq19OvXj3nz5nHw4MFOyy1YsICSkhL347XXXtP7o3TBqKHVQ0VuGNOTPi8+jq2xgcaRY6meK2/+NLPhKUreqTchTMowordUINSIUVNTm9+HGoyIXnkKkvfDTKk3LRCCdJTD6f0oHDIDgEmfvRh0eTnHYqjF2FoTSVEjgCi9N/DQQw+xZMkSFi9eDMATTzzBRx99xHPPPcctt9zSZflXXuk838wzzzzD//73P1atWsWiRYvcz8fGxpKXlydrH1pbW2ltbXX/XVdX12UZMxSo6YGaOWsObCti0vsdsnnoDzeDtXtkX33d2fu7OxYziXdQsGpvQDGSUmtqGm45hdjuRsDlIrqhloSygyQcLiGmtoqYumpia6uIbqzH1taCta0VW2sLLrsdl9WKy2ojPjkeV2wsjqRkHEkpOJJSKGmNoikjF1ev3jRn5tKSng22wHep+WNy2V4QPH2cP2sg29fsC+n46W4SFAjp+6oob+zx59zXk39F/p7vGLLlSzaW7qMmb2DA5SOx3kiLqNGenb4DK1qjqxy1tbWxadMmli1b5n7OarUyd+5c1q5dK2sdTU1N2O12MjIyOj2/evVqcnJySE9P56STTuLvf/87mZm+u5nfc8893Hnnneo/SISidJAtiZz3X8PW3ETT0JHUzZgVcFkz1BuFgj9hCnQ3G+pFXM2dck9qOOLrKsk8uJusg7tJ2reTfvUHSSg7QHRTgybr7+X1tyM6hsbeA6jvM4iGPoOoGziCmqFjaM7K6zKxck1NM2lp5o8Wa8X2Nft0r4ERgtTBNkc2P/WazLiSTUz67CW+WHSbLtsJRyAg0qJGoLMcHT58GIfDQW5uZ8PNzc1lx44dstZx880307t3b+bOnet+bsGCBZxzzjkMGjSIPXv28Je//IVTTjmFtWvXYvNxB7hs2TKWLj06eGFdXR39+vVT+akiA7ViVPTLYSa91RHWLf/N5V0aB18oqTeKBAI1BsHESYtt+NuuN92iIXG5SC/ZS+89W8j75Sfy9m4luarU7+It6dk0ZfeiNTWDtpQM2lLTaUtKpdkSjSMmluyBObiiorA4neBwYHE6sLa0YGuow9ZQj62hjujKw0RXlBJdXkp0RSk2exspRbtIKdrVaVutqRlUDx1DVf5kKsZOJ3/USLYXHpb1sbpDQ5+dk2hYyks6H6TjPNK/O7X8fNHVjHvgMoZuWsnGU35HXXbfcO+SZmgRNdpVWGZYe6N7Wi0U/vWvf/H666+zevVq4uLi3M9feOGF7v+PHTuWcePGMWTIEFavXs2cOXO6rCc2NpbY2FhD9tkMqBaj4hoyVq8gpuwQ9owsqhYsDLh8pEeN1BCuniTe2/WUtEhrSGLamsna9j1zS39k7OfbSKqt6PS602KlNqcfJdmDsIwbR92AYTT26k9Tdm+csXFd1ifVEA0blUu10p1xOIgpPUjV1xvJPLyf5P2/kLpnOynFu4itrSJv01fkbfoKAHtCMlPHTGVzn8lUTJ1NS1Kaz1VKkRCBcnp6FOlw/5EU5x9D/+3fM3Hlf1nzm2VdlglWb9TU1GaqeiOtokZGtze6ylFWVhY2m42yss4fqqysLGi90AMPPMC//vUvPv/8c8aNGxdw2cGDB5OVlcXu3bt9ylEw1IQZzVqMHYoYAfR+41kAKs77LS4fDZE33S1qFCl43mmHsyGRWygcbW9hWNFGRu/+hqHFm4hy2N2v2aNjKRs8lpLB4ykdPJbyAflUtHTUuQWrq/AUI1XYbLT16U/Shf0p8Lgrtba2kFL0Mxk7fySzYD1Z2zYS3VRPr/VfcBpf4HzvQUqHjGfPhNnsmTTXpyj11AY+VHqiIHlG6DbNu5T+279n2MbP+P6sP9CamNJl+UipN9J6/rSEhBjDeuLpKkcxMTFMnjyZVatWsXDhQgCcTierVq3immuu8fu+++67j3/84x98+umnTJkyJeh2Dhw4QGVlJb16eVcT6IfVaqGyutk0guRp52rFKG3HFpK2bsYZHUPFeYsCvqcnRo3MiBHpiJKiGnW91Vwu+pT9zKTCz8jf/Q0x7Uc7RZQn5VE6+XiK82dQMmQCjhivyG5L8AEfQxYjP+tMSIjBGRtHzfBx1Awfxy9n/BaLo53UXwrJ2fwNvdZ/QereHfTe/QO9d//AzHf/j+LRM9k5dQFFY47FZYvqkQ28lvTENJv0mcsGjeFwn6FkHdzN8A0r2Dr7V+HdsRCRO+BjIMLR3uieVlu6dCmXXHIJU6ZMYdq0aTz88MM0Nja6e68tWrSIPn36cM899wBw7733ctttt/Hqq68ycOBASks76g+SkpJISkqioaGBO++8k3PPPZe8vDz27NnDTTfdxNChQ5k/f77eH8eUqI0WwdGDMjraRs4rzwBQtWAh7ZnZft8jHaihRI2k3j89qbhVT/RqjMfMGeR3nCN/4/FEtbcybudqpmz7hNzKfe7nq1Jy2T7kOL7JmMyh1P7kzw69V5aWYjRsVC67CsvcguSJyxZFzbCx1Awby88XXMXBr39keOE3jCv4kuwDOxn001cM+ukrGtJyKDj+HHbMOEOk1zSgJ0hml16bFguFM87k+LcfYuTa5Wyddb679jNcg6GqQekQMnKiRkaiuxxdcMEFVFRUcNttt1FaWsqECRNYsWKFu0i7uLgYq0dX8f/85z+0tbVx3nnndVrP7bffzh133IHNZuOnn37ixRdfpKamht69ezNv3jzuvvvuHlVXBNpEi6QDMrrkIOlffAwcKcT2gxZiJNAHPRsS7+iRJEaeKbW4lnqmbPuEaT99RGJLLQB2WwzbhxzL5vx5HMgbCRZL0C78choAvULrgQTJkz7Hj2dDeh67Tv0t6Yd+YcT6jxmx/hOSaso5ZvkTTFnxHDunnUpJ8mwqyntG5EMvPI9r6F7fpb+C911T5nHM+4+TWfILOfu2UT5ojPu1QBHVYOeFUT3VlAwhY6Yeap5YXC5X95451Qd1dXWkpqayek0hSUnJqg+YcNUdhSJF0FWMAHo9+SC9n/p/1E2Zya4n3/T5Pq3FSESO9EGPVISv6JEkRjFtTczY8j7Tf3qfWHsLADXJ2awbewY/jTyJltikTu+TI0dyUmp6Fp3KOdalcY+kY9hmb2XI5lWMXfMW2Qd+BsBhi+L7/ifw2YgziRo0ULf91QulkwLrjWckrjtIUqDv98SX72bE+hUUHnO6uzA72LkR7LxQ0tZJk6qraeOURI2CzaHm3UOtqamBX188g9raWlJSutZjaYWpe6tFAkbWHWklReAVwnS5yPj0/Y5tnOk7vy0iRpGDHukcz/SaJEU2h50pBZ9w3Oa3SGipB6A0cyBrJ5zN9iHH4rTpc3kxojeOFEEKhJQalsY+ckTH8vP0U/l52in02r2FyZ8+T9+fN3Hs3i+YXvQV68edzjeTzqc1NvIb9XBhlo4IWhBMPAtnnMmI9SsYuvlzvjv7OiparYYWYlutFrcgKaE7RI1AyFFIYUa1B48SvA80TaXoCAk7thJX9AvO2FhqZneeo05IUWSixUjN3nim0AYd+JFTvnqSzNpDABxO68OX0y5ix+AZssbGihSCpdd8jpxtsVAybCIfDptI3p4tTPnkOfr+vImZW95j/I4vWT3tN2zOPxks3WPk+XDgXbANkRVJkjN+VOngcVTnDiC9rIihm1dSMTpwTa0Z5lNTU/8aLGoULsTZqQFqpuiQs07PA016KMUzhebvIExf0RE1qjn+ZJyJR1MgQowiH60H8UtqrOKcz+7n4uW3k1l7iIb4NJbP+gNPXPAoO4bMDCpGoabUjGwApOiUnG36q5MqHTKBD//wCB///n7KknqR2FLLaV/9h0vfXUZW1X5N91drzJZS84WvSabNjrSPQb9bi4XCGWcAMPzr92VFjcI5vlEoHYMCEa72R8hRiEgHghaCJAmRtxSpoai4xp3LDdgLwOkkY+UHAFTPPwvokCIpz6vXgSnqjfRH64Zt1J5v+f0bf2T0nm9xWqysG3s6//7142zJPxmX1bgZtI1sAORsS2q0/BaSWywUj57J+3e/ztvjf0tLVBz9ynay5K0bOH7jG1icDi13uUfiS5LMJkqe+yT33Px56gIctih6HfqZZK8R3JWiZzG2GjGSU2sUTnp8Wk0LfAmSnDokLVJm3vgqtg5E0pb1xJSV4EhMZlPmaJwGRIvkTOAp0AYt0muxrY2c8vWTjN3VMVJ0SdZglp94DWVZg7XaTVMj1R8pTq954bRFcfiyK7nnkyn86ofnGV26hdkbXmPw/i28O3cpdcn+h88wmkiIGvnCc5/N1MNNqRRJtCSns3fIZIb+vI68DaupHzDM53J6RVSVjOendcQIwpu16PFyFB1to6i4RhOjlg4Op9MlK5Kk5cGkVIokMo6k1IomzcYZE2vYwSiiRsaitng1p3If5316L5m1JTgtVr6ZdB5fTz4fpy1a1T5EMnLrj4Id271OmcLXCyaz6eVX+NUPz9O/tJAr3rqBD068lp8HTdd6txUT6b+ThLcoeWKELHl+j2pFs6ammV0jZzD053XkblzNrvOW+F02XCk1peMZgbkLsSV6vBzpgR4G7Q+1UgSwe+sBxnzakVIrO/F0Q8RIRI2MR23vtdG7vuL01Y8T095KTVI275z8Jw7mjQh5X/yhx5xRdrv/lJWSc0bu+EeAu/daQCwWmn57MfdlDOOS9Y8xoPoXLlhxD6un/pqvJ/8qbEXtaiMcZsdfRElCS1nSQoo8sZ55BnzwMOm7thJbfZjW9KxOr4ezEFuNGEmYOaUGQo4illCkSDrw8rZtILahltbUDA6Pnabl7nXCU4hCiRjJGRxQRKR8oyi95nJx/KY3mb3hNQD29B3Pu3NvpDlevzFFJLTsqiyJka+ocFFxDXa7Q3NB8u7eH4yc06bz6fxJDH/8Hmbv+ZTZG14jq/oAy0+8hvYo4wa11bpBNzOBJnH2JtD54u89Wn1/UueEVqB6yGjS92wjd9NXFM89p8uywW4aQu2V7Z1aC6XGVm7UKNwdgYQcRRDBuuQHw9PGExJi6LdjPQAl007EpfGYNN4RIjXS4kuGgjWe/iJTQpo6CJZeszgdnPrVE0wqXAnAdxPO5ovpF4dccB2uVI2/BmFA/zS3IIH880kPQXJGRbPjj7dh+XY8x735IGN2f01Kw2FeP/VWXcdE6klCFIhAnz1YxFWv78372lc2dVaHHG1c3UmOjIwaaVkjq6b9MhohR2hbd6QHWkuRRNZP6wA4PPYY9TvngRZCBJ0vDEojCb6WlxqqUPcr0gmWXrM62jnn8wcZ9ctanBYrK467nE1jTtV0+0YRKJ0mIZ3vSqNIcgUJlPXKLDz2LGpz+jH/mWX0Ly3kwndu5d/H3UxTbLKp0z7dmXB8P9K1yvNaVjr1REa+/m+yt6zF2tqCMzbO/ZqRtUZGlIwE6/xgFEKOTIxeUgQQU1tFalHHFAeHx0xVt4NoJ0QSvi4MoeK5rp4uSv7Saxang7NXPcSoX9bSbo3inXl/YucgbaTZbFEjX8vpIUjQuRebnGPt0LBJLL/mUU7791L61+zlz5vu4/7JN1FR3nXZYMKkd9pHoD3+rn91A0fQlJVHwuFSsraup3zKCbKjRlp04ddKirQoxN6x3cfJoANCjjwwS/RITymSyNy2AYC6AcNoS8tUtH6thcgbPYfI9ydKPU2SOqXXXE4WrnqY/D3f4bBG8daCW9g9YIqm2wvWIIc6Z5QncqJG3nhGkUDeeadUkOSm2Q73G8H7f3ycMx67jsySX7hh66Msv+YR2mMT3MsEqpNxb1dIUEQR8MbQYqFsyiwGrXiDvA1fsi+/48YlnIM+qiUSUmog5MhNdLQNu90RVkEyQooksrd21BtVjJHXdViromoz4Zn66EmS5DnLeXZOInO+f4kxu7/uEKP5N2kqRmaPGvl6n5IokhpBguDHWU3eQD78wyOc9cjV5BZtZ/4zf+GT39+PM6pjCAUhPt0LORHzssknMGjFG2QVdFy75YiRngM/dnfECNkeSBdDo8dgkEazlvYhFDGSO6p11hE5CtRLbXtBmfsBHRf07igP+WNyO41yLKdXXKQjNa7Dvv+AmVveA2D5idewa6B2vRYjtVu41JjIjUDJnWZE6XFW3WsQH1/5APaYePrt3MCx7zwia38EkYN0HHgeG/6oHjEegKSSYmLqawzYO22R066apd4IhBx1wUhB0kqKlE71EXe4lKRD+3BZrVSOntzldV9CZKQUhWssJOkClT8mt0dI0kl9azl/ywsArJ76a7YOn63ZupWIkRm/Z70ECZRJUvnA0axcfBcui4XR37zLqO8+kLU/AvOjtL7SnpRKXd4AAMbaDwZf3oRRo0hJqYGQI5/oLUhaSBGonxhWihrVDBlNe+LRsWvMECUyS2TKW5LM2ICHQlxDDXNfuB2by8nGfjN4p99pmq1bTcRIqzozLRuEUARJS0kqHj2T9ad1jIx83FsPkl1cKGt/BOZFTceTpqY2KoeOASCx4IeAy6qpuxN0RsiRH/QQJC2lKJSJYTO3bwKO9lIzgxR5Y5aRtLtlys3l4sRX/kFSbQU1Of348do7wWIJebJONRNrmv37HNA/jQH907DbHbIanGGjchVFkcD3Meb9vfxw8iJ+GT8Lm6Odk166i6i2FoWfRGAGPH9bNTcEtmNnAMHlCNTX3Qk6EAXZAfAs0gZ1B1uoRdbeqI0WeZJS3DG7c0F0H3Yq6GZsFGlp8aZrNLtT8fbw9Z8wYNt3tEfFsHLx3djjEsmf1dFzzbNQWy6hjpsTrJEI5/QIEmoKtUHZ+RpsyIk1F95C7t4C0suLmf7Bf/j2vBuUfgxBGAlFiqTemo2uiQAkbtsCLpfPaWZE1EgbhBwFQboQKpEk72iTVnlWLcQIp5Pk/XsAOJw70LQNfFpaPNsLynTt1q8G7wZMwqzfozfxdVXMfPdRADaechmVfTrP8i3JjdK52NRIkRIBNkOX5VDHQwL5565vUYrmw7Nu5IL//oWxX73N7sknUzZojOLPEQn4O/4irbhfIlQxkmgeNgpnTCxRtTXE7t9La//BPt8jokahI+RIJr4kSc7yWqGJGAHxh0uIammi3RaNa/BQLXZNNyRBAn3HPlJLJEaTjnn/ceKa6jncZxg/nXSh3+WMaoTM+LsGQu14SIAqSQKv72jMGRQfWEf/L9/nmDce5MUrHgPr0eoIsx9/wZCkyF/k0lOaIkWUtBAj6RhyRcfQNHIMST9tIrHghy5yZMYi7EhFyJFCwlFtr5UYAdR8vbHj39wBODWeT00PpBSbGaNIEpESTcrc/zMjNqwAYM2FN4f19zdb2lQpaqNIoF6SJAp/ez291q2i16GfWVD2HcUnnwt0TcVJmO049EcwMfJ+zeyiFOpo/95iJNE4esIROdpC1annup/XKp3mdLr8vmbE9CHBxgwzCvO3jj0cLcVoe0EZx5TtBTrGUIkUIkGQJMwcTZq+/AkAdk0+mYoBo8K2H0oaDTPUG/lDTRQJOjd2SgZulWhNy2Lnr65kzAsPMOLN/3Bg9hk4o2P8fp++OjeY5ZiUkCNG3kjLVpQ3sn3NPlMJkl5iBNA8PB+A2KJfurwWatRIEqPM9K7Hh/fEs3ogpaHNgOitFgFoadFZ5fsAqOrlO1dtVqSLuVl6sQXDuwdSuMn9ZSv9d6zDYbWx4dTLw7YfahoNM9QbBcKzy7/Su3fv3m1yhwHYt+BCWtKzia8so9+X7wdc1nP8Ll9DVJjh+ARlYuT9vuycRLav2ae4Vk4P9BQjgNbe/QCIPVTsfk6LdFogMfJeRg1Sr89QGZmfE/I65CDkyMRobdD5Y3LJjlA5gqPDDHgOPWB2zDIMwLgvXwfg52mnUJfd1/DtKxkJWMLMUSNvpC7/EJokyRUlZ0wsuxcuBmDoO89icbQr2p6nKIH/IQQiCUmuzCBJoUa4A90QtB2Ro5iSg+B0aiIccsRIei0UQZKLGc59IUcmR8uokcXRTubhjruNqghKq3kjokjKSK48xKCfvgJg6+xfGb79UO6kzR418iZUSYLAouTZaBTNO4/W5DQSyw+S/cN3qve5O4mSFEUC5T0utSDU70yOFLTl9MJls2G1txFdUQqElk6TI0YSWghSsHPCLOe8kKMeRFxlGVHtdtqjoqnP6BXu3QmJSI8iGcnI7z/E6nJyYMQUqnoPMWy7aqJFEma4cwwFLSQJOouStyzVO2wcmH1Gx/Y+f1uT/fYnSpFGOARJ73Sam6go2vL6AGArLjZMjCRCESQl+xrua4CQox5EbG0VAI2J6dTUtYZ5b7TBM4oUCZJkuCC5XAzduBKAHcecrvvmPKMOaqQIFDQSEYBWkiThLUs7jzsTgNyNX+EoKQl1dzsR7ohnqIRDkPRMp3nirjsq2a96W2rESCLUCJLc6FE4BUnIkcnR8uCQ5MiVlQVE7l2hN55TnghB6kxOcSGplYewx8Sxb8xxum3He1oE3e+e/RAdbTNk0milSJLkORWJFrUiuXNn0DhqHFangz4/fK2oqFsuRk3GHMrUNf4IZ4pNCUp/L6nuKLexIqTtqhEj7/cqFSS5cxaG++ZIyJGJ0frgiDkiR62pGd0idO5NJEWRjBqSYEDBNwAUjZ5Je6y23bd9RYlC+VzdKWIUCF/RpFBEqWbWPACG71rfKarkr1ZJLXpeL/Tshm+EIIXyfag57ptzpbRakaptOp2ukMRIQu065KbXpOM4HAg5igC0OjhiPeRIortJUiRFkaS7cT3p8/NmAPaPnK7J+ryLdUMVIomeIkaeeEaTQL0o1R6Ro5Tv12CxH71W+KtVCgW9U216RI/AGEEK5TxQety3HIkc2Q4WB1myK3r0NtMrvSYRDkEScmRytMy9SnLUlprZ5TV/Y6BEKpEiSKBfei2qtYnsou0AHBo+OaR1+RIiraRImlRTCzGK1OkTQhGl5mGjaE9Nx9raQvzP230u4y+ipBY9BEnvQRwjJcUWDLvdgSMlFQBrXZ2i94ZSZ+SPzPR4MtPjdU2veR63RiHkKALQSpBi6o5EjlLSAy7XXaJJkSBIeqbXsg78jM3poCEth/pMdb0T9YgSQecoRk+KFslBsShZLDSOmQBAYsEPQdevVTRJr1okvaJHYD5Bkm4MlJI9oGMgREtTk+L3ailG3ut1Ol2KJEmuIIHxRdpCjiIELS5mRyNHGUGW7MBXNCnSiIQu/3ql1zIOdUwVU6mi+75RUiTEKDByRalx9AQAErb/JHvdWkoSaBNFMmIKELUjcZsB6Xd3JSQAyuTIiMEb1RRpe3ZUCIaR1wshRxFEqBczXzVHcon0SFIkRJG0/l4zSjrmXlI6Groe9UTe6TM9LnJaTbxpVvyJEkDLwKEAxKqoQfG+rqhB6zSbntEjiXBHj9R+1wP6p+FK6BA8S7Oy70mvqJGvbahJs8lJJQ8ZIaYPEfhB7XxMtpaOC1d7XIKq7UZ6us1sk216okcNR3JVx7g3tQqmCwl1IDtPjIwSSRfUSKw3UoO3JDXldPRe8pxvSymh1nZodQwbGT0KtyCpPSec8coiR0ZEjTzRu5u/ERgiR48//jgDBw4kLi6O6dOns379+oDLv/XWW4wcOZK4uDjGjh3Lxx9/3Ol1l8vFbbfdRq9evYiPj2fu3Lns2rVLz49gSpTOx+TGYglpu5E8OJyUYjMjWtcfxTfUANCcHLjGTEIrMTJainqaGHkiSVL2lI6Z2qPLS7E3hzbAayhRJC2vC3pHjyItvebZ2cAdOWprg3Z58+oZETXytb1QBCmckqS7HL3xxhssXbqU22+/nc2bNzN+/Hjmz59PeXm5z+W/++47fv3rX3PZZZfxww8/sHDhQhYuXEhBQYF7mfvuu49HH32UJ554gnXr1pGYmMj8+fNpaWnR++OYFu+Rc73HONGjiE0Ikj5o9X3GN1QD0JwUXI60EKNwSlFPFCNPnMkpAFhcLmytzZqNxK3m2qHFdcGI6JFEuKNHapBqjgAszcqLso3CsyebmjokCF8USXc5euihh1iyZAmLFy8mPz+fJ554goSEBJ577jmfyz/yyCMsWLCAP//5z4waNYq7776bSZMm8dhjjwEdUaOHH36YW2+9lbPOOotx48bx0ksvcejQId577z2f62xtbaWurq7TQ0s8iyTDbbsSvuZkcro6Ds6WFrtmshSpggTmrD/S8vuMauu4WQg2+KNWYgT6SJG/80tIkQdxce7/DnRUy67fCIbaKJIWUdD8WQO7bfRIbS81N7Gx7v/aivYFXFSrAR9DIRKjSLrKUVtbG5s2bWLu3LlHN2i1MnfuXNauXevzPWvXru20PMD8+fPdy+/du5fS0tJOy6SmpjJ9+nS/67znnntITU11P/r16xfqR/N7ofY1RYBZZCkmxgZA3wEdBdlaRZUiUZDMXKCt9ffpwn8aVYvJMrUcpwi6yhB0Pb+EFHnhkSq3Hu6Iymt15x2KIEVCei0S6DJ+l4/f2+xoFUVqbzemPdVVjg4fPozD4SA3t/NFMzc3l9LSUp/vKS0tDbi89K+SdS5btoza2lr3Y/9+9ZP1+btgexNIlsxAoDScGiJZkMyIlvVHFnxfiAybRTwIcmRIEATX0d/YmZPn/n+4BQnMn17LzkmMvNSan987EvCMIqmVJCPoEb3VYmNjSUlJ6fQIBTU/ktbzKWmNFmOe6Dmg4fY1+9wPLTFz/VGod972mI6LUHRr13WEW4yEDGmMR72lo1//Ti9pLUhK0Kr+SESPvAjwe3tihpSaL6QoEihPtfXrm6rHLnUhSs+VZ2VlYbPZKCvr3PiUlZWRl+fbdvPy8gIuL/1bVlZGr169Oi0zYcIEDfe+K1pMTeD5/qLimk4XrOhoW0jr1gLPC+Cuwo7fISEhRvb788fksr2gLOSojC8J8tX9Vqs7y+0FZYZNBquEUL7P5uR0UqpKiK+v9rtuNYQiRp7Hu5Ag7bDW1QLgsljcPZk8GdA/jaLimpC3M2xULrsKy1RdE2pqmkO6LlSUN0ZcDzMt8CW1nl34ff3ekYIkSJXVHfJstYbWk1pLdI0cxcTEMHnyZFatWuV+zul0smrVKmbMmOHzPTNmzOi0PMDKlSvdyw8aNIi8vLxOy9TV1bFu3Tq/69QCPaI8Wk08qRR/aRZvQumxokV6LTsnsdPD+3lAk2iSmdNrcDSCpPQ7lXqpxddXdXre6BnEQfQu0xvb/o7xjZy9+oBN/5ssowu0pZsgPSNIZk6teZ8v1iODP7piYw35vfVGbapNT3RPqy1dupSnn36aF198kcLCQq666ioaGxtZvHgxAIsWLWLZsmXu5f/4xz+yYsUKHnzwQXbs2MEdd9zBxo0bueaaawCwWCxcf/31/P3vf+eDDz5g69atLFq0iN69e7Nw4UJdPoMR46gEK+jWQpqc8R1CYW1sUPQ+pfUGoV4It6/ZJ+sOUWtJMmt6DdSlJ+ozO6KsqRVHa+xCSaepESMhRcYgyVF7/wG6bytcBdp61h8ZGZHSoqewFDny7NLvjVlTav7wTrWFW5J0TasBXHDBBVRUVHDbbbdRWlrKhAkTWLFihbuguri4GKv1qKPNnDmTV199lVtvvZW//OUvDBs2jPfee48xY8a4l7nppptobGzkiiuuoKamhuOOO44VK1YQ59GdVSvCNcCcv+2pCY1L6Tp7RmbH31WVitchXRDlptq0Sq/JQbqwVZQ3sn3NPlUX0bS0eGpqmk2bXgPl6Qlp2pCMkr2dGqVQPp9SMQKRPjOCqF07AXAMGOTzdS1Sap5I6TU1hJJey581UPbNk5kJtRODpelI5Cg+sr8HX3im2iRBCke6TXc5ArjmmmvckR9vVq9e3eW5888/n/PPP9/v+iwWC3fddRd33XWXVrsYEDNd3JXui2ddU1tahxxZDldgtztU1ThJF8WmpjZZdQdKL4ShXPiycxI1ESQz4ylIEDglWH1EjtIP7AKXi/yx6nu1KB2XRYhRV4qKa3T7PmJ+2AiAfcJE97Y8MUM9Ixw9fkOlp9YfSciJHEU6nlGvcNQkGSJHkYqZepOpxfNiHN+/NwCZjgZKQHUxuFxB0upCqIRQBQnMW5wt4blvnt+vtyjtSeqLwxZFcn0lU7LtqB1HV2kaoKeJkdyoTHS0TfMIDgAuF9mbO+SoqNcImoprDJMhuTdJnoQaVZaiRz1BkPx1ApLkyOlHjsKdktIaX9EkvekRXflDoTtd4J1Z2QBYKw+HXAyupO7A6GhMKJNKmr042xtfkwFLj2GTBlIzYhwAWVvXhbQduVGjniRGRcU1btmJjrYFfchdTukjdc92ourrcMQnYB852jAxCjU1pEX9UU/t4m+trQHAFWBYmkiqN5JLZno8GQZdo4Uc9SDccnS4otPzvkRJDnIEKVwRmFBn3TZzcbYvJEnyfAAcHjMdgJwfvlW1XjXFo6GKkVSMqeZhNJ7iEy5Sv1oJQN2MWRAdHdZ9kYtW04tAzxQkW3ERAI6+/sc4EoSGkKMehDMzCwCblxx54t1bLhhy7x7DUcujVpDMPLWIUkqnzgYgd/PXRDUp66UooTRqpBZPwZF6rih5eK6ju6UVApG25jMAak6YF+Y9UU6o14WeKkhuOeqnf+/EnoqQIz90h3ojb5xZHXJkrQzeW01pFEmr6JHWo+GGKkiRTu3gUdT3GYitrZW89V8qeq9RUSNfUqSGnihK8bu2k7BzG86oaGqPmxPu3VGEVlFlLQQp1GuO0SPt2/YfkSMDhm7oqQg5CkB3q5s4mlYrB0dw6ZEbRZJbfxSunmChFG1GfPTIYuHgcacC0H/VO4rfrtVksv7QQop84U+UuhtZ774KQO2seTjSMwzdttqu/N5ocV3QQpCMmMdNKyQ5avcROYq08Y3MipCjHoSjVx9ccXFY2tqwFe+T/T45khisEQ137y81k0t2l+hR8ZyzcVptZG3bSMovhbLeo6aHmtqbCb0v5J6i1J2iSdamRjI+fheAwwt/bei21Uwt5AstrwtqBSniUnLt7dgOHQRE5EhPhBz1JGw22oeNACBq5w5Fb5UiSIGQphoJRLjHEVIjSJEePWrJyuPQzI56lCHLX5L9PiOiRkbf4YYy4aUvwpl+tzz+b6Lqa2npP4i6Y04wZJu7Css0EyNPtLou5M8a6E7NK5GeiIoaHTqAxeHAFRuLM8e8Q45EOmKcox6GfcQoorf+SPTO7bQuOE35+2UMHulv7BO54x7pNQquNAaSGsw+9lEwfjljEX2/+YQ+X3/CrnOX0NB3cLh3KaxoMeGlNJmr2gFVfSE3VZVsczD3k/8C8OOCRezd6b+ThT/kyq/3PmkpRaDPeGieYyGB/9R6RXljRIkReBRj9+kHVhHf0AshRz2M9hGjAIjaIS+94omcxkDOtAKhzs4dClJ6TckFMRJGzg5GzbAxlE6ZTd7G1Yx89f/YeNP/87us0tGwI5lQJUmr2e49zxk58jHonWeIra2iMacP5XPPIiFKeRd+JTVDWguREUjnuKckdQckOTJiHr2ejJCjHkb7yHwAonYqlyOQ3xiEGj3SGzWCFOnRo8KLriN381f0/v5zMgp/oGrUxHDvkmnITI8PaS6nUKJHStNUcZVlDH/7KQB2XvgHXCrESMn2jEKvmyYzRoZ2FZapvgGJ3l4AgGPocC13SeCFiMn1MOxS5Gj3z9CmbnboYPVHck56OZEYve72emrvtfoBwyg+cSEA4564E6u96+/fk6JG3qitR1I67IUnuwrLSEiIUSQq+S89RFRLM1UjxnNg1umKt2lGIvmmQymhSmn0kXn02iZO0WJ3BH4QcuSDUHremB1nn744k5KxtLcTtXePrtvyV5wt50JoxN1eTxwccvuiG2hNySBl/x6Gvvtsp9fUjGvUHfHu2SYHNYKkpit83vov6Pv1x7gsFrZevgwsxs9WLggjra1Eb9sKgH3ipDDvTPdGyFFPw2KhfcRIAKJ2bFe9Gi2iR3LQO3rU0wTJnpzG1stvAWD420+Rtqug0+tGR42kWh8zojSKpEaQlEQRYmoqGf/vOwHYc9al1A4ZLfu9gu5B9LatWNracGRk4hgwKNy7060RctQDsY/quKhG//hDWPcjWGpN7+iR2vRapI9/dOjYBRw6Zi7W9nYmP/QnohrrwrIfUl1PpAiSHElSIkhyhr5w43Qy8bG/EVtXRd2AYez49TWdXt5eUBb0IYh8ojd3pNTsEyeLqKHOCDnSAbNNjulN2zHHAhDz3de6byuU1JqE3j1N1ExOG9HjH1ksbPnDnTTm9CGx7CATH7uNpoaWkKNGanptRYogKYki6ZGSH/H64+Ru/hpHTCyb/3gPBTurO4lPWlp8wAcEFiiBNuj9Xcb8IMlR4HojM59PkYKQI40JNnGm5zLhou3YjgHjorf+iKW6KqR16V2YbdbokUSkNiztiSlsuvF+nFFR9Fq3inFvPR7S+kIZ5ycSBAmUpdnkDJoql15rVzLiSO+0j8+4ge8b0gC6yE8g1IiTkUTqeeSJ0oiynJqz6Ghbp5sOdzH2pMl+36NmzC5BV4QcaYinGPnDDILkzM3DPmwEFpeLmO+/Vb2eUO+Qu0P0CCL3wl4zbCxbruqoYclf/gJZ77wStn3xFCQzS5LS81eOIAVKrWVu28CkhztqxPac8Vu2jZ8rW4jkIleY9CbS09VKUNNjzVJZSdS+vQDYJ/iXI4E2CDnSGDnTIajpDaM1UvQo9puvdN9WqL2gzBw9khqTSBWkAyeeScHZSwDof88y0j9brnpd3ne5SrFaLREhSXLPXzn1R4Giqym/FDLtn9dis7dRMnU2b0+6WPU+K8Wo6JJnWlAQmJhN6wFoHzwUV1p6mPem+yPkSCPUzBMVzihS23EdchTzrb5ypNWYR6Bv9EjNxLSeRLIgFZzzew6fdQEWp5NBt15D2qqPQlpfqCNGR5IkQeDzV26BtvcNRMovhcy46/dENzdyePQUNi29H5fNFjaJ0Dod510rJQhMUXENsZ+vAKD1+Nmy3mPW8yZSEHKkAaHITbgEqfWY43BZLET/vANrefgadbmpNaNGudVCkCJJkpqa2hiWn0fRX++j8rTzsDgcDF72B9I/eVfV+qTaIy2m1JAkyWq1uCXJbBd8LQTJ+wYifccWjr3tMmLrqqkeMpr1tzyKMzZOmx3WEDWF30KKOiO37gink7jPPwWgdd4pQd8j6o5CR8iRRoQyu3g4BMmVkUH76LEAxHyrrteaFg2gmdBiotuIrUOy2dh3+4NUnnYuFkc7g2+9ltwX/w0u5cekloIk4U+UzCBLWglSU1MbOZu+YsadVxDdVE/lqEmsveNp2hOTNd9nvQjWa05I0VGU1B0l7izAVlqCMzGJ1pnHy36fGc6PSEXIkUkIRa7U0irVHX39pep1aDUbuRzyZw00ZALJUKJHQJc76IjBZmPfHf+Psos6apD6PvpP+t17KxYf04wEw1OQtJZoT1ECTCFLIQuSy8XwT15h2j+vJaq1mfIJM/n+b/+JKDES6Efmd6sAaJ11IsTGynqPiB6FhpAjEyEVeRpF64lzAYj79GOw2w3brjf5Y3JNM+u92pGzvfFOM0QMVisHlt7O/qW3A5Dz1osM//0FRFeUKl5VdLRNlyiSJ56i5EuWjESJIHliaWlmwN1/YtIrD2F1OSmaey7rlj2GIy6h03Jqz5Pta/bJfghCR+n5Lie1lvbVSgBa552qeH9E9EgdQo5MiFGC1DbzeBxZ2Virq4j9erWi94YrpWZE9EiL9JpEJESRfF2cyy9awu6HnsORmEzSjxsYddEpJK9XN+yDdxRJj2iSRLijSnIiwJ5jIMX98jOjFp1O1vtv4LJa2Xzxjay9ZBmu6GhN9mf7mn1k5yTKekjLC1FSj9KUoZzUWnTpIRJ2bsNltbJ7xHRF6xfRI/UIOTIZhtYfRUXRcsbZAMS9+5bst0kNm5EpNW8iIb0m4atY1SwEujjXzppH4csf0TxkBNGVFQy/6gL6PngHlhblkiFFkbyjSf4eWhCuqJKsCLDTSfobLzLq4lOJ37MTe2Y2ux57BdcNN4DFEnD4C7nRI6XHrz9REuhPoOiRFDVqHDuZ9vRMVeuP9OiR53lbZVCWIcqQrXRj1HThD0ZmerxhB3PzwvNIfP4p4lZ8RG1TEyQk+F2200itYRSj/FkDdb9oZ+ckai5gkiDV1DS7BUnJQJjhoLX/YHa8uJy+D91J9juvkPvqM6R8t5qi2x+kcZz6gegCHT92u0OWICkdhNT7Ltr7HNP6PHY6XT7v3G179zDxz38k9sj0PbXHzGLfXQ/TnpkNdBRn+2ss88fkKpJrtVFQz/d5nmtG9RrtSSQkxASU4dSvO+SoZtbJQMd1WMmxb7Vawj4rgz/ktnOe55FR0TAROTIpRtUf2adMo71vf6yNDcSt+tTvcp7RIj3ESE09hRHpNT0kzLPXjhnmt0pIiAl45+qMT6D4r/ey65EXsWfmEL9vNyMXn8WAu27EFuL0M77wjjL5eoD/yJNc9Iwq+YwAt7SQ+OgDZM+ZSex3X+OMT2Df9bdR+NALbjGSCDYprZE1eiKaFD6iKitIWfcNADUnzAvp2hvu6JF3ilvaH+8Ir69HOBByZHJ0FySLhZazzgEg/r23O73k3eCEM1rkjZF3sHo2Bv7GhwkHwQpD646bw7Y3V3H4rAsAyHr/Dcacczw5rz6Dpa3ViF10o1SagqGHKLkjUS4Xce//j+wTppLyr7uxtLTQesKJHP5yLbE33QhW/5dhX4IUrmijZ9pNSJL2+Dr/Mpe/icXRTsPYSbQOGup+XmnqOZy1R8FEyKwIOTIxRnXvbz77fABiVq3kwPZid4Piq+FRipyeGGqJtOLsQHiPA2P0vFZyx1xxpKVTdNuD7HjuPZqG5xNVV0u/B+9g9NknkPnBm+DQZrJVtcgVpkBoJkouF7Fffk7mGXNJv+p3RB0oxtGrD9WPPU3Va+/i6D/Qvaiv7v3BRpcPZw9PEUnSFp/nn8tF1nuvAXD47N+4nzbTTWogfElRJCHkyAu73RHyhKpao2f0qKi4hj2JfWgaNAxrWyvZX6/UPHWmZpJFs2F0AxCuSUDlymzj+CkU/vdjiv76L9qyc4ktPcjAO5cy+txZZP3vZSytLbrto1KCyVIgvO9yZYmS04l1xcfEzD6erN+eR8zmjTjjE6j/018o/3ojLef8CixHG4pA1xt/6TW50SO9p9wRkqQfSRu/I27/PhyJSVTPOzPk9UnHrxFEshRJCDkyOXr1XusUHYqJonrBwo7tvf+6ptvRm+4UPfJHsCkatEKSWNnRvqgoDp9zMQXvfcOBP95Ke2oacfv3MeCftzD2jBnkPfMIUYfLNds/rfCWJbVRpS71E/X12J78DzGTxxNz7tlYN27AGRdPw++voWLtFhqW3uy3w4Nn935f+Ks/ChQ9Mir1LCRJG7xr/7LffRWAqgULccZ3Pm5CneRZL7yjRZGMxeVSMT9AhFNXV0dqaiqr1xSSlNR5BFqlkSM9eqv5orK6WbODzVcNUXR5CWNPn4HF0U7hyx/TNGpcyNuRTnS5kSO1s3NLF2M9JUYSMLP11vFuHLWoR5EaYjmTBntibWok673XyH35KWLKDgHgskVRM+tkDp99EXXTjweb+ohkqClaOZ/HW1CCXgtcLqI3byTurddIePctrPV1ADiTU2j8zSU0XX0dzuwcWfsXqLZvV2GZz/NIkmN/5400zpHRmPV8MYKammbV52FTUxvDRuViq6lm3ILJWO1tFP73I5ryx3dZVm2WQ882S8t2yh/19XWMGNGP2tpaUlJSdNuOkCMPOZIujHIPOCmaY5QcgTY2LkWMvBl467VkfvIulaeczb6//19I21AqRqBejsA4QTLzxd5TlEKVJLWCBIDdTsbKD8h++78k/bjx6NOZOVTPPY2qeWd2DAMQoBDZE08pCiVF6yv6EujzeYpSp2uCy0XUzkLiPvmQ+P+9QdQvu90vtQ8eSuNlV9J8/oW4kpRP/eHv3Ax0PgU6b4w4L/zhGdE183mjNaHKEcCxPyyn34N30DRiNIWvrOiUhvVEjSAJOZKHkCMvOTJj1EhCiwPP38UXIKHwJ0ZdfCouWxRbP/oee3aeqm2oESMITY5A/4bA7HIkoZUkSXexoRC3q5Dsd18l45N3iKqrdT/flp1L3cwTqT32ROqmHY8zuetFTu1xJBclstRe30hywSbSvvuSnO8+J2rfXvdrzvgEWk47k+bzLqTtuFmypc8X3Sl65ElPiiSFIkcATY2tnHX7b4j/5WeKb/4HFb+6xO+yauUItL+p11OMPFOIjY31zJ0zJrLlqKqqimuvvZbly5djtVo599xzeeSRR0hKSvK7/O23385nn31GcXEx2dnZLFy4kLvvvpvU1NSjO+3Dol977TUuvPBCWfvlS46URo3AeDmC0A/AQHIEMPzyc0n+YR0lv7uWQ3+4WdU2/F3EgxGqHIH+DUGkCJKEJEqhhvlDxWJvI/n7r8lY+QFpqz/F1tjgfs1li6IxfxwNE6bSMH4qjROm0p6eqfo4UounLEU31jPWUULiT5tI3vgdST9twuoxXIEzJpbaqcdhOe9cWk47U1WUyB+BztFAgmTG6JE3PSGaFKocJW5ay5x/XIEzNo4fP93s88ZBQk27Bfq0XVrLkXdNlXRONDTUM3vWKN3lSNcRsi+66CJKSkpYuXIldrudxYsXc8UVV/Dqq6/6XP7QoUMcOnSIBx54gPz8fIqKirjyyis5dOgQb7/deQye559/ngULFrj/TktLC3l/zdZLzR/+Rt7VgvLfXE7yD+vI/t9/Kfnddbji5Z9Aet/py0EaPVuPhiDSxAjoMvmtmov2rsKykAXJFR1D3fFzqDt+DpbWFpI3fU/K2tWkfvslcUV7SNq6maStm+G/TwLQltubvF6DaRw8kvr+Q2ns1Z+m3L60Jaf5TTF4EqhQ3fM7sLU2k1hSTNLBvR2PA3tJ27OdpJKiLu9ry86lftpx1MyaR92M2bRGx3W8UOVggO/7PUOpqWn2KUhGjCgvF+m8rChvFCNv+2H0+88CUHn6eQHFCDqEIVAhf6RihrH1dIscFRYWkp+fz4YNG5gyZQoAK1as4NRTT+XAgQP07t1b1nreeustLr74YhobG4mK6nA5i8XCu+++y8KFC1Xtm3fkSG3UCIwbi8iTUAw9WOQIh4MxZx9P7MFiiv7yLw6fe7Gs9WohRlpEjkC/O+VIlCNv1ESSQqo/kkHMof0k/bCOpB83krRlA/F7dvpdtj0ugaac3rSmZtKWkk5rSjr25FRKquy0R8dij47BaY3C4nKSGGfD4nQRZW8lprme2JZGYpobiKo6THL9YZLrDhPfXO93W425fakZMpqS4RMpy59Kfa8BDMvvmmr2W5ukkmDnaKRHj7zx7m3aHc4xtZGj9J0/cvyyi3HabGx77xvaevcL+h6zZD20KvuAwFIU8ZGjtWvXkpaW5hYjgLlz52K1Wlm3bh1nn322rPVIX4AkRhJ/+MMfuPzyyxk8eDBXXnklixcv9pluA2htbaW19WhIvK6uzv1/tWFJCI8YSegWPbLZKL/wd/R78A5yXn2mY/CxIDUUZogYeSJdXM3cIISLtLR4xXO7SXM/aRFB8kVb735U9e5H1WnnAWCtr6Pyi7XklO4lpehnkot3k1B2gPiqcqJamkgp3g3s7rSOESFsvyUhmcOZ/ajK6kdlVj/K84aQMvc47MlpnRc88h1AZ1H0vJB7pgLUitKA/mnBb2L8EAnRI288z0/viBJEviwpYfhbHZHTfcedLkuMQF30SBqKIpxtmDdqj3m90E2OSktLycnp3IU1KiqKjIwMSktLZa3j8OHD3H333VxxxRWdnr/rrrs46aSTSEhI4LPPPuPqq6+moaGB6667zud67rnnHu68884uz7e3O4iNjZx0moQ0Ma1egnT4zAvo/cQDxO/bTeo3q6g94WS/y2olRnoMbCg1CNKdqVpJ0nscJaPxngDXDILkiTM5hcPDJ3B4+IROx5W1rZX4ikMkVJQQU1dNbG0VdXsOENdcT4LVQZS9lai2FqxOB06LDZfVistqxREVQ2t8Mm3xibTFJ9OcmEpjWnbHIzWbtvikTqm6mppmKGoFOguk5774kiQ4Kkqek+fqcX1pamrrcs7JmZS2orzR1DcL3vsWabIUyqjlqXu2kbv5a1xWK9vPWEyDAeealkjtkpo2yYxjNimWo1tuuYV777034DKFhYWqd0iirq6O0047jfz8fO64445Or/3tb39z/3/ixIk0NjZy//33+5WjZcuWsXTp0k7r7tevw8rNNk6EXKQDUQ+cSclUnLeIvBf/Te/H76X22JN8jk+jdcGsFik1bzyjSJ6SE6yB6G6hfl8orUcyUpB8zUzvjImlsc8gGvsMcj+nVSrWE8/1+Yuy+Row01c0yVOSQN71JtgdtK/vxpNIjB75I5gsmfG8VJtSG/7WUwAcOP5UnIOHQICJh72RBoU0w42+2pt2M0WNQIUc3XjjjVx66aUBlxk8eDB5eXmUl3ceHbe9vZ2qqiry8gJ3Ea+vr2fBggUkJyfz7rvvEh0dHXD56dOnc/fdd9Pa2kpsbGyX12NjY30+369vapfnIg01B6Ld7gh6IJZechVZ77xCwu4dZKx4153yAPOl0eTgeRH1FiU57+nOeKbazChIWh5nweTA+zf3lAzPqIx3NKlJRsotmCgpvXvurtGjQHjvt9lFSS4p+3bSa/0XuCwWdp27JNy7oxo9b9qNRrEcZWdnk52dHXS5GTNmUFNTw6ZNm5g8eTIAX3zxBU6nk+nTp/t9X11dHfPnzyc2NpYPPviAuLi4oNvasmUL6enpPgVIa8wQNZJQk16T6hmC4UhNp/TSq+n7f/fQ+z8PUH3yGbhijn6/mjZYOtz9ByKSL6J6oSSKZKQggW8JUIJnAxpICoKlcLzTkSBfkiCwKHm/HoyeFD0KhK/eb5F4fg97+2kADs2YR0Pfwe7nlZ5jSqJHZqk7MmNKDXScW23UqFEsWLCAJUuWsH79er799luuueYaLrzwQndPtYMHDzJy5EjWr18PdIjRvHnzaGxs5Nlnn6Wuro7S0lJKS0txHJnte/ny5TzzzDMUFBSwe/du/vOf//DPf/6Ta6+9Vq+P4kbPCWDVoueBXX7h72jLySO25ADZb/8XCH0KB4G58ZYkfyieh00lUsPgb24xkFfn4Tn/V7Blgs0V5muOO4mEhBhZ3433/G5aphTkpHW6Wx2dGeZ3U9tLLbloF73XfgbAz+cfra9VekNgprSUGdtKpeg6ztErr7zCNddcw5w5c9yDQD766KPu1+12Ozt37qSpqQmAzZs3s27dOgCGDh3aaV179+5l4MCBREdH8/jjj3PDDTfgcrkYOnQoDz30EEuWGBOKDLdl+0Npek1Oas0VF8+hK5Yy8O830euZRzh8xq+AyI4adTf8NQKh3D3LjSIZFUEKFCWRk0ZSi6dM+UrfyIkk+YsiGUFPiR554h1JMn0UyeVizPP3YnG5OHTMydQPGB7uPQoZpRkNudkMo+nR04fs3Lmf5CCDbEmEc1wjOSjtJSC722R7O/kXzCV+325KLruONSdeopkcBZv2QNAZXw2av2iIv8iA0sZCzrhIeo+DJBGo/ijYGD9a1dgEGuE50Helx3cUrPYvUsc90gqjR+NWEznqtXYlU+9fiiM6hi8ffZ+m3L6dXlc6Qr2a+UHNMM+akm78Ro1zpFtarTthdjGS0CWUGRXlnkYk++WnSG+pDfIGZQgxCoyUIpAaeF+pH1/4W9ZzfXLwlz7yxKgUG4SeXguVQOkbKd3m67vy/I60+p5CES3TR1Q0wPu3Mhu21mZGP38/ALsXLu4iRmpQmlqT6o70IpLTa0KOghApYiTtn9yDcUD/NNkDh9WcuICGsZOIam1h5OuPq95HT0Q6TT5y6mWUrEepKHnX2PjCCEHyrD/yliTpjt2fIGldYxOo4ZVbj2SETAYTxu5We+QLIwRJjZgPee8FEg6X0JSVx+5zLtNhr8KL0jbJbNOgCDmSgdnFSEK3/bRYOPDHWwEY8Pn/yCjcHNLq9KoR6W7oeTGXU3jsjVkEyV+Rtr+UhtIoScGqvT4fvpC+Q39RJOj6fRklScFSPD0heiRhhCApSanFlx9k2Lsdc6htu/RPOGK1u3ZLYx4pQa/okVxBMsP4TN4IOQqAmbrtK0FJKFOurTdOnMaeWWcBMP7fd2C1yx+gzBNRZ6QMI2pClEhSsDSbWkGy2x1dHoEIJEhqo0eeEtRrQFqnh+frvkQpUKoNfH9f4Ygk+aInRI/AGEGSy+gXHsTW1srhMVMpmTEvrPui1yTmEkraUDNFj4Qc+SFSc6VKDkSltr7lN9fTkpZJ8sG9DPvf0wr37ChCjMyJXEkKlmZTKkieRaTSQ3o+0MVSiSBJURJ/IuAtRd74EyVP/KXa5HxfaiRJznKBZBF6VvQIzFGAnvXT9/T+fiVOq42tl93SaeoaLTFbD7BIix4JOfJBpNQZBUKP6NHAKcPY9Ns/AzDsnWdILt4d5B2dEem0yECJJIE2guSNXEkKJkieYhBIkMbMGdTlOX94S5I3SmuRJJRIktaj1PeU6BHgToOGA6u9jTHP/guAfQsu0K3rvpoxj/QszFZSf2SW6JGQIz9EshjpGT3aP20uJVNnY21vZ/y/bweHsgNZRI0iBzm9fbQQpEAXcjmSFKwGSYkglRTVBNxXT+REkZTUIkn4kyTp/1qLUU+LHkmEQ5BGvvYYKfv30JqSwc4LrzZ8+/7QO7UG8tolz3M93Ag58iJS02m+0OWzWCxsXfJX7PGJZPz8EwM/fUPW20TUSDn5swaa4o7eX0MvIbcLeygEkySpUNu7J5tSQQIUC1KoUSR/+BptW3pOiRgFS61JmOFYM4pw1B9lbNvIkPdfAGDL1XdgTwo8t2egYSvkYpbCbInM9PiISa8JOfJBJEeNJJRGj5SYektWHoUXXw9A/suPEHe4VNb7RNQoslEbRZIrSHIu5N6S5I2vKJISQZLSa0oECdBNkECdECmlJ0aPjKw/impqYNKjf8XiclE052zKpp0o632hjGWlZswjo4iE9JqQo26OXpGwffN/RdWICUS1NDH+P3eA06nLdno6ZokeSciJIoFyQVJ6IZckyV8UCSJHkPxF3QTGYET0aMxz95JQcYjGnD5sW3yT7tsLBSOiRxC4bTJDek3IUTdGaQRMzoEopS6wWtly9R04omPI/eFbhnzwotrdFMjATIIEgaNIoQiS0jSAv4toJAkSyI8iqUVOas1sIm4EWkaP/P12eeu/oP8X7+GyWPjhun/QnpAUdF1apNTUYFT0KBIESciRAFCX523oN4SCy24BYNTLj5C+c4vP5cQdcWgEq5EJF4GiSKGk2NQIkq8okq86pJ4sSHIx23FmBKFGj/yVDMTUVDL+33cCsPusS6nKnyx7nVrNw2e2Lv0SZhckIUfdHDkFcKFQdPJ5HDjuFKxOB5MfvInoet9zr4l6o9Awc02I0pRRIEGS0mtqLuhyo0j5Y3K7dPUPJEhSLza1Pdm8MbMgmfk40wvdao9cLsb/5w5i66qoHTCcnb++Rp/tBEBNl36951vzRIkgGY2QI0En5Bq6O+xrsfDTlbfR0Ks/CYdLmPh/t4Kr+/T4MxNmTnsojSJJBcZ6CpJ3FAkCp9nyZw10f8daRJHMKEhy5wAz63EWSQxc8Tq9NqzGERXND3/8J85oeQX14UqpeWO0IAVCaachLRByJHAj19C9w73tCUlsvPEBHFHR5G1czeDlL+mwdwIwtyCB8p5ZwQRJDf56tPmauFbvNJuv0bYljBYkuXN/9dTokZaF2RnbNzHmufsAKLz4j9QNHKHo/Vql1NRiZM81kN/F30hBEnLkA6OM2Uj0Hr+pbvAody+M/P8+TNrPP+m6vZ6O0YIUbAJWT9QKkrckqSnQ9sSfIPlKs4F8QVKTZgs0cS34FyQpLRkOzCzhZibucClT71+K1dHOgeNO4ZczFoV7l1RjZFsotwSkvd0YQRJy5IXRxmwEevRa88W+BRdwaMbJWB3tTHnwz0Q3dNQfyR2ETiAPowu0Pecdk/4OJknBRoiWW4ekhSD5K9YGdYIEyqJIgaJHIG/8KC0FSc652BOjR1rw8w/FTL33emJrq6gdOIIf/3CnornTzJJSg/C1hWapPxJy5IfuGD2Sg5KDr8uJbLGw5eo7acztS0LFISY/dBOWdru2OygAAtfH6IHUwAebfNUbJVGkYIKkRxQJ1BVqQ2dBCiZJvQakBfyujBIkuak1iZ4UPQo1tZaWGsf85Y+QvmcbrclprL/lERyxyjuihDul5o3R0SMILEj9+gYeWVwrhBz5oDtGj7TG3wncnpjMhj8/RHtsPDlbvmPs0/8QBdo6oncUyV+DrkSStBIkCK1bshxBAuWF2kokKRDBek0ZPVikiB4pY8xXbzN2y2c4rTY23Xg/zTl9wr1LIROOtlDJJLV6IuQoAD01ehQqdYNHsWnpfbgsFgau/B9D33s+3LvUrdFbkAKlhYLNLSYRKM0G4RekUMZDgq6S5Itg0SOJQNELrQq1laS5e1L0SC29f97EzHf/D4Dtl9zI4XHHhHmPOtCqgNnottAMgiTkyA+SMQtBUkfZ1NkU/O5mAPL/+/8YUbAmzHvUvfFsuLVszOTOVC9JkpooUjgESY86JOiaavP87kqKatyv+0POhKihCpKS1JpZByA1E8mVJZz8/G1YnQ4Kxs/ll9MvDvcudSLUOp1wZVLCLUgWl6vn5Tzq6upITU1l5879JCenBFxW+mEifTLayupmRQd5UXFN0O7UnjOF+2PMs/9i8Eev0B4VzfJrH6Ns0BjZ+yAHX41IT08HSN+JloPbFazaG7SwWMJTCPzJgNTYev9W7lSWRwMuyYpnKleSmlAv/JJkeR7r3se1JCGeA5kq+Y49ZTGYHEn4+3488fVdyWV7QZmigVm3r9ln6ESt4ULO9+5JXH01Cx++irSK/VT0HcGLix9i+MT+qrff1NSmWc2RVucIhLcd9G676uvrGDGiH7W1taSkBG6/Q0FEjoIg6o/8I+ckLrj0z5RMnU1Uu50FT91MSsUBzbbv2UBJD+l5fxOj9gT0iCLJjSCBvFRbqGk2LSJIIL9QG5RFkDyRUm5yxQjkSVeoESSlPUh7QvRIiQBGNzdy2n+Wklaxn/qMPFZccS9J2Wlhn/7FE616d4WzHdR7lgd/CDmSgZHDqXc7bDY233Avpb2GEd9YwylP/pnYxrqQV+vvzt2XKPVEpCJi0LZRU1J0LCfVFkqazWhB8h6Swogeg8GOX7WCpDTa1NOjsd7Y2lo55embyT7wM81JaXx49cM0pmWHe7fc6DFYYrjbQaMFSciRTMJ9YEQyjrgEfrz7SWpTs0kvL2bB0zcT1Rr6dxnsLq+nCxJo24DLKTr2hZwoEqgXJC27+nviryebZ1d/0K8uR+7xa9R8bGYfnV0L5Hw+i6OduS/cRu/dP9Aal8iHV/0/anP6GbB38tAynWYWwlF/JORIAZEqSGbY59aMbN6++B+0xiXS65efOOWpm4hqa1G1LiWyIwSpA60lCdQLkty5xnwNGKl3oXawSWsh9DSbEswmSND902sBo2ROJ7Nf+xeDCr6hPTqGFVfcR2W/4Ybtm1y6kxhJGC1IQo5UYAbZUIqeOWO5o7pW5A7mo6seoi02gT67NrPgqZuxtbWq2qaS2gAhSEfRSpLUjO0TrBZJbh2S56S1eqTZzCpIwTBCkHp0es3lYsZ7jzFi/Sc4rTZWXno3JUMnhHuvOmG3O3QVo3AHCIwsCO/RcrT/QK3i91itlrAfIGZCac+Kn9OHHBGkePr+vJEFT6sXJCX0hJ42SvCWJDUNendMs/mqP4LwCxLIk3t/07NoTXePHvli4sqXGL/6DQBW/2YZRWOPC/MedcboWevDRYaCXpah0KPlCNTfZUqCZHZJMtP+SY1J2eCxfHzlg9hj4um3cwPzn1mGza5MkNRenEX0qDPehdtqJQm0LdYO53hIwQTJE1+FzXoIktLop55RpO469pHfz+NyMenTF5n+4VMAfHv2dfw87RQD90w+3TGdFi56tBxFRYUWho+UgSLNOBxB6ZDxfHzlA9hj4ui/Yx3znv0rVru89Jza0L6IHvknVEnSI4rkK80WrA7JX5pN6Tnur5GRRtL2xNfEynoKklw8BUlrSequgtTl2uJyMX35E0z7qEOM1p96OVtPvMD4HQtCT4kaGUmPliMg6ECHwTCzIJlxn+BoGqJk6AQ++f392KNjGbB9LfOeu1W2IAn0QQtJAuPTbFIdEvhOs4G6myBfjY4SQdK6h5fSyVElmYSjkqSVKHWn+qOK8saun8fp5Li3HmLi5y8D8N3Ca9m8YLHxOycTI6JG4Z7vzEh6vBzB0Vm/1WJmQTIqaiS3KNs7DXFo2CRWXHEf7dExDNz2LfOeu1V2L7budtdqJqSGXU3xthRFUppmA+W92UB+mk1pLVKwxkaOIIE+XeCVpoclSdI63dYduvf72n+Lo50TX/0HY755B5fFwpoLbuKnky4Mw96Zh+4yW4RchBx50J0Eycj9CHW4+4MjpvCJhyCd/th1xDXUBHxPdw3rm5FQJAnkR5Hk9GYDed39ffVmg9BSbZ74KtCW0FuQQu196S1KWhCp56Gv6UKs9jZOfuE2RqxfgdNqY9Vvb6Pw2LPCtIfmoKeJEQg5cqNFN2CzCZIZa40kvBuQgyOm8uHVD9OSkEzevm0sfPhKkisPBVxHdwrrRwJqJCnUKJI3oU47AspTbf7qOQIVaAcSJC1Ewkz1c5F4o+L5O3heR6LaWljwzDIG/7gGhy2az373D3ZPmRemvZSH3vVGPVGMQMhRJ0KtPwJzCJJZ5Mwf/qYuKB0ynveuf4L69FzSyvdz9kO/J6t4R9D16Tl9g6AramqS1ESRQJ/u/hJajK7tr/4I/AsSaCMSSuuP9CRSBMlbijzFKKa5gVP/cyP9C7/HHhPHx1fez75xxytav9L56rRC63ojp9PlfmSmx/c4MQKd5aiqqoqLLrqIlJQU0tLSuOyyy2hoaAj4ntmzZ2OxWDo9rrzyyk7LFBcXc9ppp5GQkEBOTg5//vOfaW9v12y/Qx1EzgyCFI6okdy6IwlfF5KavIG8u/RJDvcZSkJ9FWc9eg39tn/vdx1KCojNfuGOJNQUbivt8q+lIPlLs0FXSfJ8SK8HI1yCBOYZnsLMghRIigBSKg6w8KHf03vPFlrjk/jw6oc5OGKqqm0pnbfOTEhCBPRYKZKwuFwu3crPTznlFEpKSnjyySex2+0sXryYqVOn8uqrr/p9z+zZsxk+fDh33XWX+7mEhARSUlIAcDgcTJgwgby8PO6//35KSkpYtGgRS5Ys4Z///Kes/aqrqyM1NZXVawpJSkru8rpWo4yGIxwpCVmoclRUXKM4krarsMx9py6H7QVlfuseopsbmf/cX+i7cyMOq42vfn0zO6efFnydQRoKkYrTB38TAftDEh5JgIIhyZSvme19pUfgqJh4NlaSxASrk5NSFXLPAUm6vI9/SdJ8HedKvzN/+OxpFWa0+myh4C1p/r6jXrt+YP6zfyGuqY7G1Cw+vuJ+VVOC+DrelNLU1Ka4hjOS2ys11NXVkdsrm9raWrcX6IFuclRYWEh+fj4bNmxgypQpAKxYsYJTTz2VAwcO0Lt3b5/vmz17NhMmTODhhx/2+fonn3zC6aefzqFDh8jN7TiInnjiCW6++WYqKiqIiQneOAeTI9B2GHYjD7rK6mZNokZK7pol1MgR+G44AKztdma/eg/DN34KwPrTlrB53iVgMW8tVU9HSaOopSCBb0kKJEgQemcCT/wd/3oLkj85DDfhECS5QiQx6rsPOO7NB7A5HZT3H8WKJffQlJqtats1Nc0hR43CIUee3fPNLkZgnBzpllZbu3YtaWlpbjECmDt3LlarlXXr1gV87yuvvEJWVhZjxoxh2bJlNDU1dVrv2LFj3WIEMH/+fOrq6ti2bZvP9bW2tlJXV9fpIYdQ02sSRqW4tBIjUJ/DVpJaC5R6AHBGRfPFb//G5rkXAzDto6c56b93q56wVqA/SlJt4U6zge9apFDwdfwHajC1SEWZqTjbk1BHXpeD5/Q33mmzQGJkcbQz851HmPX6vdicDnZPmsP71z0ekhhFIiKF5h/d5Ki0tJScnJxOz0VFRZGRkUFpaanf9/3mN7/h5Zdf5ssvv2TZsmX897//5eKLL+60Xk8xAtx/+1vvPffcQ2pqqvvRr1+/oPuvRXG2N2YvlA4VNXfhQe+0LBbWn3kVX59/I06rjeEbP2XhQ78npeKAyr0U6I13PVIglI6srZUgQeBibTUE6t7vbwwkMHetTqj4Gi8rlM/pLUOe6w8mRBIxzQ2c8tTNjFv9JtAx6vXnl9yJIyZW1T5pkU4LJ0KKfKNYjm655ZYuBdPejx07gvcw8scVV1zB/PnzGTt2LBdddBEvvfQS7777Lnv27FG9zmXLllFbW+t+7N+/X/W61KJ3kbaZxEtpYTYEv/Padvw5LP/DIzQlp5N1aDfnPnAZ/Qu+VbuLAgNQ0ugbIUi+JmT1N/WIWgLdIAQTJC27+psRX0X8Sh9KRcgbqfC6f+H32KNj+Wzx3ztGvVaZqo9kMepJo12rQXHNUUVFBZWVlQGXGTx4MC+//DI33ngj1dXV7ufb29uJi4vjrbfe4uyzz5a1vcbGRpKSklixYgXz58/ntttu44MPPmDLli3uZfbu3cvgwYPZvHkzEydODLpOOTVHElrWHoF+9UdaptQk1BRlg/LaIwhefySRWFPByc/dSt6+AgA2LljMpgWLcVm1j/QJtENu/YmSOiQ1NUjgv0GTW6wth0DnQKCOCNBZ6uSmzMxYlG02+m/7jpP+ezdxTXU0pGazYsm/ONx/pOr1aS1GoRx/atopqZt+pGHamqPs7GxGjhwZ8BETE8OMGTOoqalh06ZN7vd+8cUXOJ1Opk+fLnt7kgT16tULgBkzZrB161bKy8vdy6xcuZKUlBTy8/OVfhzDMfPAjN4M6J+meoAxpdGjYPVHEo1p2Xxw3WNsPeFcAKaseJ5TnryJ2EZ5dWSC8KAkzQb6RZDAuDSbv3MgUAQJlA+T0F0jTVphbbcz493/49Qn/0xcUx3l/Ufxzp+eNpUYSWjZQUAQGrp35S8rK+OJJ55wd+WfMmWKuyv/wYMHmTNnDi+99BLTpk1jz549vPrqq5x66qlkZmby008/ccMNN9C3b1/WrFkDHO3K37t3b+677z5KS0v57W9/y+WXX65ZV35PtI4cgT7GrlUXfm9CiR5B167NwZAbQQIYtuFTTnj9XqLtrdRl9OKzy/7B4X4jFO+rwDiU9maL5AhSsHNA7rHuLXee351Ze6qZhZSKA8x94TZy9u8EYOsJ5/H9WVfjiDZffZGanmoSInKkPbrKUVVVFddccw3Lly/HarVy7rnn8uijj5KUlATAvn37GDRoEF9++SWzZ89m//79XHzxxRQUFNDY2Ei/fv04++yzufXWWzt9CUVFRVx11VWsXr2axMRELrnkEv71r38RFRUla7+UyBHok1rT46DUI7UGxqbXQJkgZRzczfxn/0Lq4YO0R8Xw3TnXsf3YhaK7v4nRo7u/1oIE2kiSVoLkXt7HOF5CjHwzdONnnPDGfcS0NtOSkMLq3/xF8YjXnugtRqD+WBNypD26ypFZCbccgYgeBUNJoxHTVM9JL9/NwCMF2sWjjmH1b25R3S1X4Bt/qSA1E5gKQTqKUkESBCaqtZnj3v5/jFz3EQCHhoxn1aLbaUxX9xt6HvdmFCMQcqQHQo66UeQIupcggYKGw+lk7Jq3mL78CaLa22hJSObrX/2JPZPmqtquoDOBBEJt466XIPmTIxCCpBRPMTDbvvki8+Au5j5/G+nlxbgsFjbNv5RN8y/FZZOXVfBEbykC7VK4Qo60R8hRN5Mj0EeQ1IyYLWGYIAHpJXs58eW73TUGuybN5Zvzb6Q1Ub+TSA3ShTcSGhwIPvqvWQQpWPQIzCtIYB5J8iUG3gXs4d5HTyxOB2PXvMW05U8S1d5GY2oWqxbdzqFhkxSvywgpAm17Rwo50h4hR91QjkC/rv0QHkEC+Q2H1dHOpE9fYNJnL2F1OmhMyWT1b/7C/vxjVG87FHxOPjomt0tj44mZGh4ltRZqGnc9BCmQHIEQJH8oEQPP4zecx2t6yS/MfvUecou2A1A0eiZfXvRXWpLSFK3HKCkCbcUIhBzpgZAjGXIE0LuXvOXkYJQcSXSXCBIouyDnFG3npP/eRVp5x6Cf245dyNqF19Aeq/8FIdQLrS9xCmdjqeQzCEEKjNzzwGhJUltwHK6IktXexqSV/2XiypewOdppjUvk+7OupnDmWbI7ZHjfuESaFHmiVJCEHAVGyJFMOYrUmY/NmmIDYyQpqq2F6cufYOyatwCozerD17/6EwdGTlO9bX/oeaENhyyF0jsn2ECHPt+joSDJkSPwP3hioDRiKF2uJeSeB0ZEZ7SMmBglSjl7C5j92j1klO4DYN+YY/n6/D/RmJ4T+I0YL0Sg32THnqiRI4i86UOEHOlIuOXI6IPRbIIE2kSRJOQ0IH12buDEV/5JUk3H4KG7J57E2rOvozEttB5t4bjQgv6yFGq35VBqkJRMpOpPkuTUHkHgcYL0FiRQHkUCc/3OgdBDlKJam5j24VOM/eptLC4XzUlpfHPeDeyZOCdgtChc56kRUiTRU1JrQo50pKfJkYTWkmQmQZIIdEGOaW5g6kdPM/rrd7C6nLTFxrPxlMsomHU+TgW9WcJ1oQ2Ev/olpQ2S1lEEtd38tRIkudEjMD69JqE0mqqVKBk9L1iostS3cB2z3riP5KqOCcZ3TlvAd2dfR2tiaqfl/NX4GY2eKTRfCDnSFiFHBhZkmyGMaTZBAn0kCfwLw5D6/Rz/1gPk7dsGQFWvQXx9/p8oGTqhy7J+Jwo1gRAFI1DBdyC0TgfqmV6T8DWFiBwxkgiUXgP9BQmUnwdKo4dmkQYJuR0SkqpKmf7Bfxi2+XMAalNzWHHmDewdNtXv+8P5uYyWIgm1cgSRlVoTcqQj4ZQjsxyEZpMkrWqR5LC9oAycTsb98CmzVz5NQlPHvGwF4+fy5bwraEzOcC8bCRJkZoyKHoVKuNNrEqGcB3JkOFKO5+0FZcS0NnHM168z9bu3iW5v6xi3aPpC1sz5HcMmDwz3LnbByBSaL9S2U2Zql+Qg5EhHhBx1YDZBAmMlCSC6voZRrzzKgJUdNQz2hCR2/Poa9i24QNXAcYLOhNLjKhyCFO7okYTR54GpcDjot/oDRr3yKHE1hwE4PGYqBZf+mbrBo8K8c10JtxRBaG1UpEWPhBzpiJCjzghJgrRdWxn31N9J29MxVkp9n4Hs+M11lBwzV8zTFiKhRI9AWXotFMwSPfKkp0lSZsEGxjx/H6l7dwDQmNePbZfcSOm0k0x5HoYrheZNqG2UWdsmXwg50hElcmS3OwC6tRyB9uMiaSFIYHDj4HAwcOXbjHjtMWLrawCoHjKawt9ez+Fx4RlAsjvQHaJH4F+QjGggu7skJZYUk//ig/Ra/wUA9oRkfj7/9+w99dc4o833ec0QLfJECzmCyIgeCTnSEaVy1F2KseVgxigSGNs4RDU1MOSDFxnywYtEtXR8HxXjplN40fXUDBuj67a7KyJ6pA3dTZJiaw4z9N3nGPTJa1jb23FabRTNO4+dF1xNW2pG8BWEAbNEi6Dn3Lx7IuRIR8IlR5Fw4EloKUmSIEHokgTGNRAxNZUM+98zDPz0DWztdgAOHXMyO35zDQ19B+u23e5KJBVnmzF65InnOQCRJ0qx1YcZ+t5zDPj0LaLaWgAom3gs2y79Mw39hoR573xjRikCbcRIIhLaKaPkSFScBkDrOdUiicz0eCqrm90Rr1AkSfoOi4pr3Cd1KJIkXZx2FZZ1Cm9r3UC0pWWy7bKb+eWMixnxxr/pt3o5vb9fSa/1qyg+8Sx2XnA1LVl5mm5T4JuK8kZDBUkpCQkxnY5FvfFsoPU+D4IhbVvOdmOryhn67vMMXPkWtrZWAKqGjWPnhVdTMfFYXfdTLeFOoXmKkCd6tU2V1c2mFyQjEJEjP5EjLcOVEBlG7g+9Um2gTSRJQu+76eSiXYx87f/otf5LAJxRURw44XR2L1wsIkkyifToUTh6rilB63NAjvB53qz4I76qnLGfvMSAz/+Hzd6xzqoRE9h5wVVUjJ9h6mJrMOY3NVqC/GH2tkqk1XQkmBxpLUZg/gNODpEiSeD7Qq2VLKXv3MLIV/6P7IL17udKps5mz8LfUTVqoibb8IWchsrs6ZVQphUBY2uPlKbWQHntkb8GUavzIZCwyCFUKYguPUTeC4+T9d5rWI9IUcXwCRSccwVlo6eBxWK6Y9boKT88MUOmwuz1sUKOdCSQHOkhRtA95Ai079UG+kqShL9GIpQLc/rOHxn63vPkrf8Cy5HTqHLkRHYvXEzZlFlgtcpaj5J0TLCLtdLGMBwNk1HzroVCMDkC/9EjuQ2qv2uN5/kA+p0TehK3q5Cc158j86P/uaWoftJ0SpYspX7qTHekKNDxauSx6X0OGilFZhAib8wsSEKOdMSXHOl5sHYXMfJED0kCY0TJEzkyEewinXhwL0Pff5G+qz9wF27X9x3M7rMu5eAJp9FgD74f4UjFBPvsejZO3UGQQo0eyalpjChRcjhI/WolOa8/R8rG79xP10+ewaErbqBhykzZq5Ir+UqPUX83IkbOfwbmFCJvzNpuCTnSEU85io1NcD+v1wFr1oNMC7qLJPlDSSQmrrqC4Z++xtBVbxPT3NElvCk9m6qLL6fyrAtpT8/Uazc1R49ImzdqBMnI9JoZ5MgTs5wT3tjqash8/w1y3nyB2EP7AXDZbFSfeArlF/6OxonTdNmumpRhOOvBIkmMJMzYdgk50hFJjj5fVUBiYrKuB6uZw5NaonU9kidmbRT8YW2oJ/udV8h59WliKjou4M6oaGpOOoXDZ1/UKa0QSehR8G5mQQoltQbBG2K1vWHNcj7E/fIzOa8/T8ZHb2M7Mh5Ye2oaFWdfRMV5i7D36hO2fTMbkShGYM72S8iRjkhytHPnfpKT9ftywZzmrSdGSRKYX5Qsba1krHiP7LdfInHbj+7nW/oN5PA5F1F5+vm0Z2SFcQ9DQ8vxppT2YjNCkALJEYQePdJiqBDDRcluJ/XbL8h58wVS1n3tfrpp2CjKL/wdVQsW4orrOde7YESqFHliNkEScqQjRsmR2Q4qI9FTkiDyRCl+RwHZ77xCxop3sTU2AEeiSScu4PA5F1E/ZabsAm4zokVUSWkUSRIk0EeSIkGOJHSVJJeL+B0FZH74Fhkr3iO6pqrjaauVmtnzKb/wdzRMOiYio6F60h3ESMJMbZmQIx0xQo7MdDCFE71qkjzxFiUwryxZmxpJ/+wDst95hcRtW9zPt/QdwOGzf0PVKWdjz+0dvh3UgFAiSpIggXJJ0lqQQpUj0C+15g8tbxqiK0rJ+ORdMj98m/g9O93P2zOzqTz9PCrOv4S2Xn1Vr787053ESMIsbZqQIx3RW47MchCZCSMkSSJSZCl+5zay3nmFzE/ecUeTAOonTKN63hlUzzmN9qycMO5haIQSTVIbRdJSkILJEZgreuSNGlGyNDeTtnoFmR+9Tcq6r7E4nQA4Y2KpmT2fytPPo276CRAlJlcIRHedXcEMZSJCjnRETzkSYhQYIyVJwuyyZG1uIv2zD8j84E2StxwdWNJltVI/6Riq551J9Umn4kg350ScclATTQpnFCnQBLSemFmOPAl0DljsbSRt+p6Mz94n/fOPOol6w/ipVJ5+HtUnn44jOVXRNu12h6nOM6PormIkEW5BEnKkI3rIkZAiZYRDkiTMLEvRpYdI//xDMj77oFPazWWzUTftOKrnnUnN7Pk4UtJkr9PfKMyy90mnKV6USpKagm1QLkpyxQhCT62FqyE9ULif1LVryPjqU9K+/ZKoxnr3ay29+nL41HOpOOVcWvsOUL2NAf3TfJ5rvjDL+Rcq3V2MJMIpSEKOdEQrOZKECIQUhUI4RQl8yxKE/4Idc7CY9JXLyfhsOQk7C9zPO6OiqTvmBGqPm0PdzNm09envfk3r+ZkCNW6hfj+SKBklSRBclJSIEQSWIzBX9MhaXkbsZx8Tt+IjYr9Zg6Xt6ICIjuwcWuafSss5v6Jt2gzDOweY9RxUQnesMwpEuARJyJGOqJUjTxkCIURa4ylJEB5RkjDbxTq26BfSP/uAjJXLOxXHAjQPGELNjNnUzJhN3YRp9B+WZ8g+aVX8qzSaFOr8bIGQK0USppYjlwvbnt3EffoRcSs+InrzBvc0NwDtg4fQsuB0Whacjn3SFNP1ltRTzLWmp4kRhC9bIuRIR+TIkbcISQghMgYziZKEWYQpamch6V99Rtra1SQXbMbiOBotcsYn0Hbs8bSeeDKtJ83FMWCQYfsVqiwpkSQ19Uh6YDY5spYcIva7r4n55itivv2KqAPFnV5vmziZlgWn0brgdNqHDo/I7vdmOQ8leqIYSYRDkIQc6Yi3HAkRMjdmFCUJI+5ufaXKpAuxpbaG2K9XE/vFSmK//BxbWWmn5doHD6V19hzaps+gbeoxOPN6abJPwQilrkttJAmMFyU5cgT6dem3VFYSu/ZrYr79ithvviJqz65Or7uio2k99gRaF5xGy7xTDfv9jSYcwtSTpcgbI1NsQo50RJKjwsJikpNThARFEGYWJU/kFqLKRdYF2OUianuBW5RiNnzfKaoE0N5/AG1Tj8E+7Rjaph5D+/CRhqRT1EaVzBxNCjSFiCdaRo8sVVXEbFrvlqHo7Vs7ve6yWLCPm0DbsSfQetwJ2KfNwJVgzES9ZkQPadJzkvJIxcgIkpAjHZHkqKykQtcvV6A/kSJL4cBSV0vsN2uI+XoNMRvWEVVY0KnmBMCZmkrblOm0TZ2OfdoM2sZPgnh9L3BqRMmMkhQsaiShVo4sDfVEb/2R6C2bOx4//UBU0b6u7x2Z3yFDx55A2zEzcaWlK/kYPQ4tblyEFHXFKEEScqQjQo66J0KUAmOpryN60wZiNqwjZsNaojdvwtrU2GkZV1QU7cNGYM8fQ/uo0djzR9M+agzOnFxd6lOUTnsRSsoNtJMluVEjkCdH7Q2NJO7aTr/S3UT/2CFDUbt/7iKz0FFI3TrzeNqOPYG2mcfjzI7cgUIF3QsjBEnIkY4IOeoZCFkKQns7Udu3ErP+e2I2fE/MhnXYSkt8LurIzDoiS2OO/jtsBMTFabY7kSJKSsQIOsuRtbmJ2KJfiNu3+8hjD3F7dxG/dzcWR3uX9zp698U+fgJtEyZhHz8J+7gJIjIkMDV6C1K3kKOqqiquvfZali9fjtVq5dxzz+WRRx4hKSnJ5/L79u1j0CDfvWvefPNNzj///I6d9nEH+9prr3HhhRfK2i8hRz0PIUoycLmwHjxAdOE2ogoLiN5WQHThNmy/7HZPI9FpcZuN9gGDcPQbQPuAgTgHDMTRfwDt/QfiGDAQV4qyEZUllKbd1E5T4i1LEt7SJMmQJwHFyOkkrrqCpEP7SDqwl7ii3eTVlhC3bzcxZYf8vs2enolj0uQOCRo/EfuESSIqJIhI9BSkbiFHp5xyCiUlJTz55JPY7XYWL17M1KlTefXVV30u73A4qKio6PTcU089xf33309JSYlbqiwWC88//zwLFixwL5eWlkaczLtYIUcCIUuB6dSDs7mZ6F07id6+leRfdmIpKMBa8BOWqqrA60hLp/2ILEni5MjOxZmVjTMzE2dmFq7klIDpulBESemktxLe0uQpQlZ7G3FV5R2PyjLiK8uJqyo7+v/KMuJqKrC2d40CSdjTM2kZOJSWAYM7/h04lJahI2jMzGPAABEVEvhHOi8j4XqllyBFvBwVFhaSn5/Phg0bmDJlCgArVqzg1FNP5cCBA/TuLW/m8YkTJzJp0iSeffbZozttsfDuu++ycOFCVfsm5EjgiRClzsi6qLlcUHII665dWPbtw7JvL5a9e7EU7ev4t6Jc1rZcMTE4MzpEyfPhyMrClZ6BKz4BV1wcrrh4SuvaccbG4YyNw5qU5P6/K67jX6zWjv1yOrE4HezZXoLlyP8TYqOwONrdf1ucTmxtLUQ31hPV1EB0U32n/0c1NhDd1HDkuY7X4qoPE1sXWAjd36HVRlNuX2rzBmAbm39UggYMweEnLdZTpp4QqMPzvAz3rAJy0UOQIl6OnnvuOW688Uaqq6vdz7W3txMXF8dbb73F2WefHXQdmzZtYsqUKXz77bfMnDnz6E5bLPTu3ZvW1lYGDx7MlVdeyeLFi32m2wBaW1tpbW11/11XV0e/fv2EHAm60JNFSdPpcBoaOqSp6Ig07dvXIU7l5TjLy7FWVmL1mOBUC1xWq8/0n9Y4oqJpycylJTOH5sxcWjJyj/ybc+S5PFrTMmls6/g+gxVjSwg5EvjDn2REgiRpLUhGyVGUXisuLS0lJ6dzvjwqKoqMjAxKS0v9vKszzz77LKNGjeokRgB33XUXJ510EgkJCXz22WdcffXVNDQ0cN111/lczz333MOdd96p7oMIehSeJ3BldXMnYTDrxUcLNL/DS0rCNWYMrjFj/C/T3AyHK6j75SDWwxVYqw5jqzyM9fBhbFWVWKursLQ0Y2lpgSP/Wtz/Hvm/x/xgcsTIZbHgtNpwWW04YmKxJyThSEzGnpBEe0Iydun/iUnYE5JpT+j4156QRGt6Fi2ZubQlpwXtuSd38EdB19kIuvN5poZA56b0nHStMuN3Z7VacDpdVFY3R9SYgorl6JZbbuHee+8NuExhYaHqHZJobm7m1Vdf5W9/+1uX1zyfmzhxIo2Njdx///1+5WjZsmUsXbrU/bcUORIIAtFTRClccyQRHw/9+pPSr3+npxVF7xwOLK0t0NzCwaLDuKw2sNlwWa1ExcYc+dvqft5baryLuUF9rRIclSIQYuSJv1kIIHA0xB/d6fyTQ7BzU0q1CUHSDsVydOONN3LppZcGXGbw4MHk5eVRXt657qC9vZ2qqiry8oJPjPn222/T1NTEokWLgi47ffp07r77blpbW4mNje3yemxsrM/nBQK5+BMlM16IlBA2MQqAIim12TpGgE5IpHdmpvvpouIaPMcGj47yXcjtS2B8CRP4lyZPIfK3zp5GKJN0B1vW+5iQiPRz0RdKpuUQgqQtiuUoOzub7OzsoMvNmDGDmpoaNm3axOTJkwH44osvcDqdTJ8+Pej7n332Wc4880xZ29qyZQvp6elCgASG4N14S5jxgiQHM1+o1EbvPGt3ioprOk35EKzHmz+58SdNgd4jF1/z50UaoQiREnyt15cwRer5KBEo2uaPSBGkSEC3mqNRo0axYMEClixZwhNPPIHdbueaa67hwgsvdPdUO3jwIHPmzOGll15i2rRp7vfu3r2br776io8//rjLepcvX05ZWRnHHHMMcXFxrFy5kn/+85/86U9/0uujCAR+iWRRipSLlITaYtRQRMkTvSNCkViMbZQQBcPXsdEdZEnN9+lZh2TGz2y1WiIieqSbHAG88sorXHPNNcyZM8c9COSjjz7qft1ut7Nz506ampo6ve+5556jb9++zJs3r8s6o6Ojefzxx7nhhhtwuVwMHTqUhx56iCVLluj5UXo8vuoAzH5wG413caSEGS9QZkynKUWNmHoLiNJRufUg0qJGZhGiQASTJTOek3pg1ggSYHpBEtOHiK78fgnW4PiKPJj5YA8HZh0aQEktQ6ShNoKnZkLcUJHEyKxRo+54jpv1nPREq/NT+qxm/Yyg/HiK+K78gshGzknl/ZpUbCcR6RfR/9/evcc2VcZ9AP92t7IBXdk72EVhMi4DZDjUbLIoM7LIFBUDUYZEhxJQBBG5CKgwBY0DiSYavGZs/qEuSrip3LxAVDKG4qY4BtnmYGDcCNR1G+PW8Xv/4D3nPadru3Pa09PT9vdJmrDTp6fn6XOep1+ec6kWjHjFWygHI8D7GTxPh98A7cNSIIORmkOqobavGLFPSml5uNvI5yAZ/fwjDkesB2//tyEtLw1KoTa4esvToAzoMzAbeTDSmi9fgq4Ci/PMEuBdYJKGLj2DUTAcDtObEfqkK1q2jZEDEmDcw2scjphLvnYi4fUcklzT+wRSTe9+HYS0uLOw0sDk7br8JdzbXqlAn6fkz/MAjRqQjDx7xOGI+ZVzSOLB2TUlYQlQN0DzTIF7Wp08b9RzhQShcOJ9oOh5+E2PdjJyQDLidwOHI6YL6Q3AAB6se+Pu81Fy92Al62HXGf38E19wMNKOkrt4q91fAjGjZ9SAZEQcjphueBbJd/yZ+U8oBSUORv6ldKZX7Xr0IA1IgHH2baN9J3A4YroLttvIs/ATzEGJg5H+gu2zDoYfrHXH1qZu9txbEbq8Cws6/j5JTuiMag8TMaa3/xkQKz6A631DeBgNByOmhvM+bYRt8UTP7wsOR6wHvQZWDkgs2Bg5KHEwYt5wtT8bzfn/Loo/h6LXLBcfVmNu6THdyofYWLDq7SRdvQZxvlSfacHVFZxGuvea3of+OBwxl/S8qsHI97pgTKlAnKfEs0VMa3r8mLaaQB+oIwscjphbQkDSC88esVDhj0u/BTxTxPTi7n5gAqX7sK/3XAvECeMcjphHQkDi2SPGvOfqy8Db/3hwIGJ6c7f/Kh2zg3Gf5XDEFNHr8BrPHrFwwfs5C2ahvv/y1WqsV9IrGRhjjLFQxzNHTnw5xyaUk7SeJ2jz7BFjjLFA4nAEbS7Blf5uGBCaQUmPgMTnHoUnd/8pCcV+xBgzvrAPR8Kg7OuXvfPrnQf7UBnk+YcLmS/chSB3+5LSmdxQ6V+MMWMI63Bka7uI+PgYv6xbOtiH2qwSBySmhi8zs0rLegpRwd7fGGP6C+twpNcXu7ugFMyDtvT+F4D2nyWfdxQa/LV/OHO3fuf/mADB3e8YY/oI63AUCMIgHkohSetZJD7vKDToFYw8cfXeHJYYY73hcBQgoRSS+DAbc8eI+0O4nB/IGPMeh6MAC5WQxAGJBSsOS4wxZxyOVDrV3Ob2ubQhVq/X6xySgnFA5oDEQkEoX0zBWDAJ1I/OAhyOeuUchqKjIxWXBdQHJmFgDtZZJK0CEv+USHDT4/f49MBBibHACtQ4wuHIAyHseApEUs7lrl7tFtfhTUgK1lkknkFi/uRp9lYJb2d4PR1+C7Y+ypjRBXLWCOBw5JLaUOSO9PXSAV3p4MwBiS/pD1ZC+2sZjqV9yNu+Kf0Pi5Q3gUlaNw5KjGnHCFe6cjhyolUwciasT+1sUjAfZhO+IL3Fl/QzQNs+6WodzoHJl6DEh94Y840RghHA4UjGX8FIyjkkhfoskhYzCMEYDJk2TjW3+bU/Aj37u/PMkpqwFIo3fGXGocehpkDuq0YJRgCHI5EewUgqOjrSq1mkYAxIvgiFq/iYd3w9t8hb0jHA1/MGBTybxJRQEn78GRxc3VHeFS33YS1++N0fOBxJ6BWMnN9PzSxSOAYkIHzrHe707pOe3t+XQ2+hcj8z5rvewofR7ijvTGmA0vI9A4HDEbyfuq+va/X4/IjRSYrWI51F4oDkXrjWOxwFatbIE1fnDQLeH3bj2aTQ5Sk8GDUMKBXs268UhyOVpIEoLi7Gbbmuriuysr0FJWHgDbWApPUx8mA+QZ2po/WskfN/ZpT+58WZ1ofdeDYpeLkb38IlQISysA9HamaNhMHVUygSSMtIg5KSkKR0sA2Wq7n8MVBwSGK9cQ5D7vqkMzWhydurUKU4JAUXo54jw7QV9uFIKTXByJnwGqUhSc1hNiPfSVqPKys4JDFnSvqqu+fUzvgKtAxJAB9yMxIOQ+EprMPR6TN29O3bv9dyvgQjKeeQpCQgKWXUgKTXQCI9zAjwF0qgBeLutlr0U+fXqg1KWoQkgGeTjEC6D3MgCj8R/lrxG2+8gdzcXMTFxcFqtSp6DRFhzZo1SElJQWxsLPLz81FfXy8rY7PZMGvWLFgsFlitVsyZMwednZ1eb2dvh9S0CkZSwrp6O6FbeojNEyN23EB8OUZEmGQzSYG+/Xy4C8R+qWU/FdYn7a+99VlBdHSk7DxCb08w531af9LPWfr5s/Dit3B05coVPPLII5g/f77i12zYsAHvvvsuPvzwQ1RVVaFv376YPHkyLl26JJaZNWsWamtr8d133+Gbb77BTz/9hHnz5vmjCiKtB1xhnXFxMYoGXKUDq9EGzkANKsKAJhxy5C8VfQVy1shfhP6qtM8KOCQFB+k4IR0/WPgyEZFfz+gtLy/H4sWL0dbW5rEcESE1NRVLly7FsmXLAAB2ux1JSUkoLy9HYWEh6urqMGbMGPz666+4/fbbAQB79uzB/fffjzNnziA1NdXlui9fvozLly+Lf9vtdgwZMgQ7dh5CfHy8221qPHHWL8HIWVfXFQDAsIxBLp93OK4fXht8o/ttBa5PwSdYAz/1bmszzl1OBdIT143wGYUyW5vvv6l2+owdUVHKr1bTq69KCf0WcN93nSnty73h/VkbwlgFGGu88ofTZ+x+Wa+v+7JanZ0duO22MWhra/P4/e0z8rOysjKKj4/vtVxjYyMBoOrqatnyiRMn0qJFi4iIqLS0lKxWq+z5q1evUmRkJG3dutXtuouLiwkAP/jBD37wgx/8CIFHY2Oj6jyihmFOyG5paQEAJCXJT3pMSkoSn2tpacGgQfL/oUVFRSEhIUEs48qqVauwZMkS8e+2tjakpaWhubnZv8nTYNrb2zF48GCcPn0aFosl0JujG6431zsccL253uFAOPKTkJDg1/dRFY5WrlyJ9evXeyxTV1eHUaNG+bRRWjObzTCbzT2Wx8fHh9VOJbBYLFzvMML1Di9c7/ASrvWOiPDbKdMAVIajpUuXYvbs2R7LpKene7UhycnJAIDW1lakpKSIy1tbW5GVlSWWOXv2rOx1DocDNptNfD1jjDHGmC9UhaOBAwdi4MCBftmQoUOHIjk5GT/88IMYhtrb21FVVSVe8TZhwgS0tbXhyJEjuO222wAAP/74I65du4acnBy/bBdjjDHGwovf5qWam5tRU1OD5uZmdHd3o6amBjU1NbJ7Eo0aNQrbtm0DAJhMJixevBivv/46du7ciaNHj+KJJ55AamoqHn74YQDA6NGjUVBQgLlz5+Lw4cM4ePAgFi5ciMLCQrdXqrliNptRXFzs8lBbKON6c73DAdeb6x0OuN7+rbffLuWfPXs2Pv300x7L9+/fj7vvvvv6m5tMKCsrEw/VERGKi4vx8ccfo62tDXfeeSfef/99jBw5Uny9zWbDwoUL8fXXXyMiIgLTp0/Hu+++i379+vmjGowxxhgLM36/zxFjjDHGWDDx7+nejDHGGGNBhsMRY4wxxpgEhyPGGGOMMQkOR4wxxhhjEiEZjt544w3k5uYiLi4OVqtV0WuICGvWrEFKSgpiY2ORn5+P+vp6WRmbzYZZs2bBYrHAarVizpw5slsTBJra7Tt58iRMJpPLx1dffSWWc/V8RUWFHlVSxJt2ufvuu3vU6ZlnnpGVaW5uxpQpUxAXF4dBgwZh+fLlcDgc/qyKKmrrbbPZ8NxzzyEjIwOxsbEYMmQIFi1aBLtd/oOURmzvTZs24aabbkKfPn2Qk5ODw4cPeyz/1VdfYdSoUejTpw8yMzOxa9cu2fNK+rsRqKn3J598grvuugsDBgzAgAEDkJ+f36P87Nmze7RtQUGBv6uhmpp6l5eX96hTnz59ZGVCsb1djWEmkwlTpkwRyxi9vX/66Sc8+OCDSE1Nhclkwvbt23t9zYEDB3DrrbfCbDZj+PDhKC8v71FG7Xjhkl9/uS1A1qxZQ2+//TYtWbJE0Y/eEhGVlJRQfHw8bd++nf744w966KGHaOjQoXTx4kWxTEFBAd1yyy106NAh+vnnn2n48OE0c+ZMP9VCPbXb53A46N9//5U9XnvtNerXrx91dHSI5QBQWVmZrJz0cwk0b9olLy+P5s6dK6uT3W4Xn3c4HDR27FjKz8+n6upq2rVrFyUmJtKqVav8XR3F1Nb76NGjNG3aNNq5cyc1NDTQDz/8QCNGjKDp06fLyhmtvSsqKigmJoY2b95MtbW1NHfuXLJardTa2uqy/MGDBykyMpI2bNhAx44do1deeYWio6Pp6NGjYhkl/T3Q1Nb7scceo02bNlF1dTXV1dXR7NmzKT4+ns6cOSOWKSoqooKCAlnb2mw2vaqkiNp6l5WVkcVikdWppaVFViYU2/v8+fOyOv/1118UGRlJZWVlYhmjt/euXbvo5Zdfpq1btxIA2rZtm8fyf//9N8XFxdGSJUvo2LFj9N5771FkZCTt2bNHLKP2c3QnJMORoKysTFE4unbtGiUnJ9Nbb70lLmtrayOz2UxffPEFEREdO3aMANCvv/4qltm9ezeZTCb6559/NN92tbTavqysLHrqqadky5TstIHibb3z8vLo+eefd/v8rl27KCIiQjbIfvDBB2SxWOjy5cuabLsvtGrvL7/8kmJiYujq1aviMqO1d3Z2Ni1YsED8u7u7m1JTU+nNN990Wf7RRx+lKVOmyJbl5OTQ008/TUTK+rsRqK23M4fDQf3796dPP/1UXFZUVERTp07VelM1pbbevY3z4dLe77zzDvXv3586OzvFZcHQ3gIl486LL75IN998s2zZjBkzaPLkyeLfvn6OgpA8rKZWU1MTWlpakJ+fLy6Lj49HTk4OKisrAQCVlZWwWq24/fbbxTL5+fmIiIhAVVWV7tvsTIvtO3LkCGpqajBnzpwezy1YsACJiYnIzs7G5s2bQQa5PZYv9f7ss8+QmJiIsWPHYtWqVejq6pKtNzMzE0lJSeKyyZMno729HbW1tdpXRCWt9ke73Q6LxYKoKPkvCRmlva9cuYIjR47I+mZERATy8/PFvumssrJSVh643nZCeSX9PdC8qbezrq4uXL16tcevlx84cACDBg1CRkYG5s+fj/Pnz2u67b7wtt6dnZ1IS0vD4MGDMXXqVFkfDZf2Li0tRWFhIfr27StbbuT2Vqu3vq3F5yhQ9dtqoaqlpQUAZF+Ewt/Ccy0tLRg0aJDs+aioKCQkJIhlAkmL7SstLcXo0aORm5srW7527Vrcc889iIuLw759+/Dss8+is7MTixYt0mz7veVtvR977DGkpaUhNTUVf/75J1asWIETJ05g69at4npd7Q/Cc4GmRXufO3cO69atw7x582TLjdTe586dQ3d3t8u2OH78uMvXuGs7aV8WlrkrE2je1NvZihUrkJqaKvuiKCgowLRp0zB06FA0NjbipZdewn333YfKykpERkZqWgdveFPvjIwMbN68GePGjYPdbsfGjRuRm5uL2tpa3HjjjWHR3ocPH8Zff/2F0tJS2XKjt7da7vp2e3s7Ll68iP/++8/nfiMImnC0cuVKrF+/3mOZuro6jBo1Sqct0ofSevvq4sWL+Pzzz7F69eoez0mXjR8/HhcuXMBbb73l1y9Lf9dbGggyMzORkpKCSZMmobGxEcOGDfN6vb7Sq73b29sxZcoUjBkzBq+++qrsuUC0N9NWSUkJKioqcODAAdnJyYWFheK/MzMzMW7cOAwbNgwHDhzApEmTArGpPpswYQImTJgg/p2bm4vRo0fjo48+wrp16wK4ZfopLS1FZmYmsrOzZctDsb31EjThaOnSpeJvsLmTnp7u1bqTk5MBAK2trUhJSRGXt7a2IisrSyxz9uxZ2escDgdsNpv4en9QWm9ft2/Lli3o6urCE0880WvZnJwcrFu3DpcvX/bbj//pVW9BTk4OAKChoQHDhg1DcnJyjyscWltbASDo27ujowMFBQXo378/tm3bhujoaI/l9WhvdxITExEZGSl+9oLW1la39UxOTvZYXkl/DzRv6i3YuHEjSkpK8P3332PcuHEey6anpyMxMRENDQ2G+LL0pd6C6OhojB8/Hg0NDQBCv70vXLiAiooKrF27ttf3MVp7q+Wub1ssFsTGxiIyMtLn/Uek6gylIKP2hOyNGzeKy+x2u8sTsn/77TexzN69ew13Qra325eXl9fjqiV3Xn/9dRowYIDX26olrdrll19+IQD0xx9/ENH/n5AtvcLho48+IovFQpcuXdKuAl7ytt52u53uuOMOysvLowsXLih6r0C3d3Z2Ni1cuFD8u7u7m2644QaPJ2Q/8MADsmUTJkzocUK2p/5uBGrrTUS0fv16slgsVFlZqeg9Tp8+TSaTiXbs2OHz9mrFm3pLORwOysjIoBdeeIGIQru9ia5/z5nNZjp37lyv72HE9hZA4QnZY8eOlS2bOXNmjxOyfdl/xO1RVTpInDp1iqqrq8XL0qurq6m6ulp2eXpGRgZt3bpV/LukpISsVivt2LGD/vzzT5o6darLS/nHjx9PVVVV9Msvv9CIESMMdym/p+07c+YMZWRkUFVVlex19fX1ZDKZaPfu3T3WuXPnTvrkk0/o6NGjVF9fT++//z7FxcXRmjVr/F4fpdTWu6GhgdauXUu//fYbNTU10Y4dOyg9PZ0mTpwovka4lP/ee++lmpoa2rNnDw0cONBwl/KrqbfdbqecnBzKzMykhoYG2eW9DoeDiIzZ3hUVFWQ2m6m8vJyOHTtG8+bNI6vVKl5J+Pjjj9PKlSvF8gcPHqSoqCjauHEj1dXVUXFxsctL+Xvr74Gmtt4lJSUUExNDW7ZskbWtMO51dHTQsmXLqLKykpqamuj777+nW2+9lUaMGGGIwC9QW+/XXnuN9u7dS42NjXTkyBEqLCykPn36UG1trVgmFNtbcOedd9KMGTN6LA+G9u7o6BC/nwHQ22+/TdXV1XTq1CkiIlq5ciU9/vjjYnnhUv7ly5dTXV0dbdq0yeWl/J4+R6VCMhwVFRURgB6P/fv3i2Xwf/dyEVy7do1Wr15NSUlJZDabadKkSXTixAnZes+fP08zZ86kfv36kcVioSeffFIWuAKtt+1ramrq8TkQEa1atYoGDx5M3d3dPda5e/duysrKon79+lHfvn3plltuoQ8//NBl2UBRW+/m5maaOHEiJSQkkNlspuHDh9Py5ctl9zkiIjp58iTdd999FBsbS4mJibR06VLZJe+Bprbe+/fvd9kvAFBTUxMRGbe933vvPRoyZAjFxMRQdnY2HTp0SHwuLy+PioqKZOW//PJLGjlyJMXExNDNN99M3377rex5Jf3dCNTUOy0tzWXbFhcXExFRV1cX3XvvvTRw4ECKjo6mtLQ0mjt3ruovDT2oqffixYvFsklJSXT//ffT77//LltfKLY3EdHx48cJAO3bt6/HuoKhvd2NSUI9i4qKKC8vr8drsrKyKCYmhtLT02Xf4wJPn6NSJiKDXJPNGGOMMWYAfJ8jxhhjjDEJDkeMMcYYYxIcjhhjjDHGJDgcMcYYY4xJcDhijDHGGJPgcMQYY4wxJsHhiDHGGGNMgsMRY4wxxpgEhyPGGGOMMQkOR4wxxhhjEhyOGGOMMcYk/heQj+/q2nnLlwAAAABJRU5ErkJggg==","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["plt.contourf(linsp, linsp, Z, cmap=\"Purples\", alpha=0.8)\n","circle_linsp = jnp.linspace(0, 2 * jnp.pi, 100)\n","plt.plot(inner_rad * jnp.cos(circle_linsp), inner_rad * jnp.sin(circle_linsp), c=\"red\")\n","plt.plot(outer_rad * jnp.cos(circle_linsp), outer_rad * jnp.sin(circle_linsp), c=\"red\")"]},{"cell_type":"markdown","metadata":{},"source":["Looks good, it has clearly grasped the donut shape. Sincerest apologies if you are now hungry! 🍩"]}],"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":"3.11.1"}},"nbformat":4,"nbformat_minor":2}