{ "cells": [ { "cell_type": "markdown", "id": "a34c3bad", "metadata": {}, "source": [ "# Tutorial: Synthetic quickstart (detailed)\n", "\n", "This notebook walks through a complete synthetic workflow with **full transparency**:\n", "\n", "1. **Simulate** counts on synthetic locations with a travel-time matrix.\n", "2. **Visualize** the raw counts and implied mobility.\n", "3. **Grid** the space to connect locations to a regular substrate.\n", "4. **Describe the model** and its mathematics.\n", "5. **Fit** the model and inspect diagnostics.\n", "6. **Reconstruct** intensities and compare against data.\n", "7. **Forecast** future counts and analyze accuracy.\n", "\n", "The goal is to make each step explicit so you can adapt the recipe to real data.\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "1dcbe4a1", "metadata": { "execution": { "iopub.execute_input": "2026-02-17T05:54:06.397560Z", "iopub.status.busy": "2026-02-17T05:54:06.396952Z", "iopub.status.idle": "2026-02-17T05:54:06.403168Z", "shell.execute_reply": "2026-02-17T05:54:06.401817Z" } }, "outputs": [], "source": [ "## 1. Setup" ] }, { "cell_type": "code", "execution_count": null, "id": "1cac316d", "metadata": { "execution": { "iopub.execute_input": "2026-02-17T05:54:06.407642Z", "iopub.status.busy": "2026-02-17T05:54:06.407312Z", "iopub.status.idle": "2026-02-17T05:54:07.010871Z", "shell.execute_reply": "2026-02-17T05:54:07.010156Z" } }, "outputs": [], "source": [ "from __future__ import annotations\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import scipy.sparse as sp\n", "\n", "from motac.models import fit_road_hawkes_mle, forecast_intensity_horizon\n", "from motac.models.likelihood import road_intensity_matrix, road_loglik\n", "from motac.sim import discrete_exponential_kernel, simulate_road_hawkes_counts\n", "from motac.spatial.grid_builder import LonLatBounds, build_regular_grid\n", "\n", "seed = 0\n", "n_locations = 5\n", "n_steps_train = 40\n", "horizon = 10\n", "n_lags = 6\n", "\n", "mu_true = np.full((n_locations,), 0.15, dtype=float)\n", "alpha_true = 0.6\n", "beta_true = 2e-3\n", "\n", "rng = np.random.default_rng(seed)\n" ] }, { "cell_type": "markdown", "id": "46f8abef", "metadata": {}, "source": [ "## 2. Simulate a synthetic world\n", "\n", "We create synthetic location coordinates, build a pairwise travel-time matrix,\n", "and simulate a discrete-time road-constrained Hawkes process.\n", "\n", "- `y_true`: simulated event counts per location and time step.\n", "- `intensity_true`: conditional intensity \\\\(\\lambda_{i,t}\\\\) implied by the same model.\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "88a9e6aa", "metadata": { "execution": { "iopub.execute_input": "2026-02-17T05:54:07.013252Z", "iopub.status.busy": "2026-02-17T05:54:07.013021Z", "iopub.status.idle": "2026-02-17T05:54:07.020290Z", "shell.execute_reply": "2026-02-17T05:54:07.019510Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "world.xy shape: (5, 2)\n", "mobility shape: (5, 5)\n", "y_true shape: (5, 50)\n", "intensity shape: (5, 50)\n" ] } ], "source": [ "xy = rng.uniform(0.0, 1.0, size=(n_locations, 2))\n", "\n", "dx = xy[:, None, 0] - xy[None, :, 0]\n", "dy = xy[:, None, 1] - xy[None, :, 1]\n", "dist = np.sqrt(dx**2 + dy**2)\n", "travel_time_dense = 600.0 * dist\n", "np.fill_diagonal(travel_time_dense, 0.0)\n", "travel_time_s = sp.csr_matrix(travel_time_dense)\n", "\n", "mobility = np.exp(-beta_true * travel_time_dense)\n", "kernel_true = discrete_exponential_kernel(n_lags=n_lags, beta=0.8)\n", "\n", "y_true = simulate_road_hawkes_counts(\n", " travel_time_s=travel_time_s,\n", " mu=mu_true,\n", " alpha=alpha_true,\n", " beta=beta_true,\n", " kernel=kernel_true,\n", " T=n_steps_train + horizon,\n", " seed=seed + 1,\n", ")\n", "\n", "intensity_true = road_intensity_matrix(\n", " travel_time_s=travel_time_s,\n", " mu=mu_true,\n", " alpha=alpha_true,\n", " beta=beta_true,\n", " kernel=kernel_true,\n", " y=y_true,\n", ")\n", "\n", "print(\"xy shape:\", xy.shape)\n", "print(\"travel_time_s shape:\", travel_time_s.shape)\n", "print(\"y_true shape:\", y_true.shape)\n", "print(\"intensity_true shape:\", intensity_true.shape)\n" ] }, { "cell_type": "markdown", "id": "a36f23e4", "metadata": {}, "source": [ "## 3. Visualize the synthetic data\n", "\n", "We'll inspect the location layout, mobility matrix, and simulated counts over time.\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "44ea6538", "metadata": { "execution": { "iopub.execute_input": "2026-02-17T05:54:07.022913Z", "iopub.status.busy": "2026-02-17T05:54:07.022670Z", "iopub.status.idle": "2026-02-17T05:54:07.271289Z", "shell.execute_reply": "2026-02-17T05:54:07.270734Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(10, 4))\n", "\n", "axes[0].scatter(xy[:, 0], xy[:, 1], s=80, c=\"tab:blue\")\n", "axes[0].set_title(\"Synthetic locations\")\n", "axes[0].set_xlabel(\"x\")\n", "axes[0].set_ylabel(\"y\")\n", "\n", "im = axes[1].imshow(mobility, cmap=\"viridis\")\n", "axes[1].set_title(\"Road kernel matrix W\")\n", "axes[1].set_xlabel(\"source\")\n", "axes[1].set_ylabel(\"target\")\n", "fig.colorbar(im, ax=axes[1], shrink=0.8)\n", "\n", "plt.tight_layout()\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "4604af23", "metadata": { "execution": { "iopub.execute_input": "2026-02-17T05:54:07.273628Z", "iopub.status.busy": "2026-02-17T05:54:07.273377Z", "iopub.status.idle": "2026-02-17T05:54:07.527989Z", "shell.execute_reply": "2026-02-17T05:54:07.527384Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(2, 1, figsize=(10, 6), sharex=True)\n", "\n", "im0 = axes[0].imshow(y_true, aspect=\"auto\", cmap=\"Blues\")\n", "axes[0].set_title(\"Simulated counts (locations x time)\")\n", "axes[0].set_ylabel(\"location\")\n", "fig.colorbar(im0, ax=axes[0], shrink=0.8)\n", "\n", "axes[1].plot(y_true.T)\n", "axes[1].set_title(\"Counts per location over time\")\n", "axes[1].set_xlabel(\"time step\")\n", "axes[1].set_ylabel(\"count\")\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "6de0dfa0", "metadata": {}, "source": [ "### Summary statistics\n", "\n", "Before moving to gridding, summarize the counts and intensities per location to see which locations are most active." ] }, { "cell_type": "code", "execution_count": 6, "id": "e8f210d9", "metadata": { "execution": { "iopub.execute_input": "2026-02-17T05:54:07.530108Z", "iopub.status.busy": "2026-02-17T05:54:07.529950Z", "iopub.status.idle": "2026-02-17T05:54:07.642697Z", "shell.execute_reply": "2026-02-17T05:54:07.642285Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "loc 0: total=16, mean count=0.32, mean intensity=0.33\n", "loc 1: total=19, mean count=0.38, mean intensity=0.36\n", "loc 2: total=13, mean count=0.26, mean intensity=0.31\n", "loc 3: total=12, mean count=0.24, mean intensity=0.31\n", "loc 4: total=15, mean count=0.30, mean intensity=0.31\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "total_counts = y_true.sum(axis=1)\n", "mean_counts = y_true.mean(axis=1)\n", "mean_intensity = intensity_true.mean(axis=1)\n", "\n", "for i in range(n_locations):\n", " print(\n", " f\"loc {i}: total={total_counts[i]:.0f}, \"\n", " f\"mean count={mean_counts[i]:.2f}, \"\n", " f\"mean intensity={mean_intensity[i]:.2f}\"\n", " )\n", "\n", "fig, ax = plt.subplots(figsize=(7, 4))\n", "ax.bar(np.arange(n_locations), total_counts, color=\"tab:blue\", alpha=0.7)\n", "ax.set_title(\"Total counts per location\")\n", "ax.set_xlabel(\"location\")\n", "ax.set_ylabel(\"total counts\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "70707a5f", "metadata": {}, "source": [ "## 4. Connect locations to a regular grid\n", "\n", "Real datasets are often aggregated onto a regular spatial grid. We'll create a small lon/lat bounding box, build a regular grid, and map each synthetic location to its nearest grid cell. This illustrates how gridding connects raw coordinates to a structured substrate." ] }, { "cell_type": "code", "execution_count": 7, "id": "c4790b17", "metadata": { "execution": { "iopub.execute_input": "2026-02-17T05:54:07.644649Z", "iopub.status.busy": "2026-02-17T05:54:07.644489Z", "iopub.status.idle": "2026-02-17T05:54:07.649669Z", "shell.execute_reply": "2026-02-17T05:54:07.649292Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "grid cells: 12\n", "nearest cell per location: [ 3 0 11 9 10]\n" ] } ], "source": [ "bounds = LonLatBounds(lon_min=0.0, lon_max=0.05, lat_min=51.45, lat_max=51.55)\n", "grid = build_regular_grid(bounds, cell_size_m=2000.0)\n", "\n", "# Map synthetic unit-square coordinates into lon/lat bounds for visualization.\n", "lon = bounds.lon_min + xy[:, 0] * (bounds.lon_max - bounds.lon_min)\n", "lat = bounds.lat_min + xy[:, 1] * (bounds.lat_max - bounds.lat_min)\n", "\n", "# Nearest grid cell for each location.\n", "loc_xy = np.column_stack([lon, lat])\n", "grid_xy = np.column_stack([grid.lon, grid.lat])\n", "\n", "d2 = ((loc_xy[:, None, :] - grid_xy[None, :, :]) ** 2).sum(axis=2)\n", "nearest_cell = d2.argmin(axis=1)\n", "\n", "print(\"grid cells:\", grid.lat.size)\n", "print(\"nearest cell per location:\", nearest_cell)\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "3a9e21b2", "metadata": { "execution": { "iopub.execute_input": "2026-02-17T05:54:07.652252Z", "iopub.status.busy": "2026-02-17T05:54:07.651999Z", "iopub.status.idle": "2026-02-17T05:54:07.777319Z", "shell.execute_reply": "2026-02-17T05:54:07.776891Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6, 5))\n", "ax.scatter(grid.lon, grid.lat, s=40, c=\"lightgray\", label=\"grid cell\")\n", "ax.scatter(lon, lat, s=80, c=\"tab:orange\", label=\"synthetic location\")\n", "\n", "for i, idx in enumerate(nearest_cell):\n", " ax.plot(\n", " [lon[i], grid.lon[idx]],\n", " [lat[i], grid.lat[idx]],\n", " color=\"tab:gray\",\n", " linewidth=1,\n", " alpha=0.6,\n", " )\n", "\n", "ax.set_title(\"Locations mapped to grid cells\")\n", "ax.set_xlabel(\"lon\")\n", "ax.set_ylabel(\"lat\")\n", "ax.legend()\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "41f42137", "metadata": {}, "source": [ "## 5. Model definition and math\n", "\n", "We fit a **discrete-time Hawkes process** with spatial coupling:\n", "\n", "\\[\n", "\\lambda_i(t) = \\mu_i + \\alpha \\sum_j W_{ij} \\; h_j(t)\n", "\\]\n", "\n", "where:\n", "\n", "- \\(\\mu_i\\) is the baseline rate for location \\(i\\).\n", "- \\(W\\) is the mobility/influence matrix.\n", "- \\(h_j(t) = \\sum_{\\ell=1}^{L} k_{\\ell} \\, y_{j,t-\\ell}\\) is a lagged history term.\n", "- The kernel \\(k\\) is a **discrete exponential kernel** with decay parameter \\(\\beta\\).\n", "\n", "Counts are modeled as:\n", "\n", "\\[\n", "Y_{i,t} \\sim \\text{Poisson}(\\lambda_i(t)).\n", "\\]\n", "\n", "We estimate \\(\\mu\\), \\(\\alpha\\), and \\(\\beta\\) by maximum likelihood using the training window." ] }, { "cell_type": "markdown", "id": "ebffb3e6", "metadata": {}, "source": [ "## 6. Fit the Hawkes model\n", "\n", "We fit \\(\\mu\\), \\(\\alpha\\), and \\(\\beta\\) by maximum likelihood on the training window." ] }, { "cell_type": "code", "execution_count": 9, "id": "4b33d330", "metadata": { "execution": { "iopub.execute_input": "2026-02-17T05:54:07.780143Z", "iopub.status.busy": "2026-02-17T05:54:07.779979Z", "iopub.status.idle": "2026-02-17T05:54:07.818268Z", "shell.execute_reply": "2026-02-17T05:54:07.817739Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "fit keys: ['mu', 'alpha', 'beta', 'kernel', 'loglik', 'loglik_init', 'result']\n", "mu_hat: [0.21 0.166 0.113 0.137 0.235]\n", "alpha_hat: 0.426\n", "beta_hat: 0.871\n", "loglik_init: -134.978\n", "loglik_final: -132.59\n" ] } ], "source": [ "y_train = y_true[:, :n_steps_train]\n", "y_test = y_true[:, n_steps_train: n_steps_train + horizon]\n", "\n", "fit = fit_road_hawkes_mle(\n", " travel_time_s=travel_time_s,\n", " kernel=kernel_true,\n", " y=y_train,\n", " init_alpha=0.2,\n", " init_beta=1e-3,\n", " maxiter=200,\n", ")\n", "\n", "print(\"fit keys:\", list(fit.keys()))\n", "print(\"mu_hat:\", np.round(fit[\"mu\"], 3))\n", "print(\"alpha_hat:\", round(float(fit[\"alpha\"]), 3))\n", "print(\"beta_hat:\", round(float(fit[\"beta\"]), 6))\n", "print(\"loglik_init:\", round(float(fit[\"loglik_init\"]), 3))\n", "print(\"loglik_final:\", round(float(fit[\"loglik\"]), 3))\n" ] }, { "cell_type": "markdown", "id": "38474b9f", "metadata": {}, "source": [ "### Fit diagnostics\n", "\n", "We'll compare fitted parameters with ground truth. The lag kernel is fixed in this fit,\n", "so we also plot the kernel used for simulation and estimation.\n" ] }, { "cell_type": "code", "execution_count": 10, "id": "54c1c4d6", "metadata": { "execution": { "iopub.execute_input": "2026-02-17T05:54:07.821343Z", "iopub.status.busy": "2026-02-17T05:54:07.821200Z", "iopub.status.idle": "2026-02-17T05:54:07.953856Z", "shell.execute_reply": "2026-02-17T05:54:07.953306Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "mu_true: 0.15\n", "mu_hat: [0.21 0.166 0.113 0.137 0.235]\n", "alpha_true: 0.6 alpha_hat: 0.426\n", "beta_true: 1.2 beta_hat: 0.871\n" ] }, { "data": { "image/png": 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Nk9liZfPR88QlplLL14vOIdUwGbU6uYhIScrMzCQlJYU6derg7e3t6nKkFKhUqRIAcXFx1KpVq1DDdi4PTosXL2b06NHMmTOH0NBQZsyYQXh4OAcOHKBWrVrZ2n/33XcOY9bnzp2jbdu23HPPPSVZdjYrdkcz6ce9RMen2o/V9vdiwm0t6deqcOlWREScZzabAfDw8HBxJVKaZIXojIyMQgUnl/dfvvPOOwwbNoyhQ4fSsmVL5syZg7e3N/PmzcuxfbVq1QgMDLS/Vq1ahbe3t0uD04rd0Qz/fLtDaAKIiU9l+OfbWbE72kWViYhUXNqPVK5UVP88uDQ4paens23bNsLCwuzHjEYjYWFhbNq0yalrfPrpp/z73/+mcuXKxVVmnswWK5N+3Is1h59lHZv0417MlpxaiIiISFni0uB09uxZzGYzAQEBDscDAgKIiYm55vmbN29m9+7dPPbYY7m2SUtLIyEhweFVlDYfPZ+tp+lKViA6PpXNR88X6X1FRESKWnBwMDNmzHB1GTkyGAwsWbLE1WW4fqiuMD799FNat26d60RygGnTpuHv729/BQUFFWkNcYm5h6aCtBMRkdLBbLGyKfIcP+w4xabIc8U+ctCrVy9GjRpVrPeQwnPp5PAaNWpgMpmIjY11OB4bG0tgYGCe5yYnJ/Pll18yefLkPNuNHz+e0aNH2z9n7YBcVGr5ehVpOxERcb3S+sCP1WrFbDbj5ubyZ7uckp6eXu4m6bu0x8nDw4MOHToQERFhP2axWIiIiKBLly55nvv111+TlpbGgw8+mGc7T09P/Pz8HF5FqXNINWr7e5HblDMDtv+zdQ6pVqT3FRGR4uGKB34efvhh1q1bx3vvvYfBYMBgMHDs2DHWrl2LwWDg559/pkOHDnh6erJhwwYefvhhBg4c6HCNUaNG0atXL/tni8XCtGnTCAkJoVKlSrRt25ZvvvkmX3V98sknVKlSxf7v6d27d3PLLbfg4+NDQEAADz30EGfPnrW379WrFyNGjGDUqFHUqFGD8PBw+3eIiIigY8eOeHt707VrVw4cOOBwrx9++IH27dvj5eVFw4YNmTRpEpmZmfn7RZYAlw/VjR49mo8//piFCxeyb98+hg8fTnJyMkOHDgVg8ODBjB8/Ptt5n376KQMHDqR69eolXbIDk9HAhNtaAuQanibc1lLrOYmIuIjVaiUlPdOpV2JqBhOW7snzgZ+JS/eSmJrh1PWsVueG99577z26dOnCsGHDiI6OJjo62mF0ZNy4cUyfPp19+/bRpk0bp645bdo0Fi1axJw5c9izZw/PPfccDz74YI5rIebkjTfeYNy4caxcuZKbbrqJCxcu0KdPH66//nq2bt3KihUriI2N5d5773U4b+HChXh4eLBx40bmzJljP/7iiy/y9ttvs3XrVtzc3HjkkUfsP/vtt98YPHgwzz77LHv37mXu3LksWLCA1157zalaS5LL+/oGDRrEmTNneOWVV4iJiaFdu3asWLHCPmE8Kioq26qvBw4cYMOGDaxcudIVJWfTr1VtZj/YPlu3LsDkO67TOk4iIi50McNMy1d+KZJrWYGYhFRaT3Tu3z97J4fj7XHtf9X6+/vj4eGBt7d3jlNVJk+eTN++fZ2uMy0tjalTp/Lrr7/aR3AaNmzIhg0bmDt3Lj179szz/LFjx/LZZ5+xbt06rrvuOgBmzpzJ9ddfz9SpU+3t5s2bR1BQEAcPHqRp06YANGnShDfeeMPeJjra1kP32muv2e87btw4+vfvT2pqKl5eXkyaNIlx48YxZMgQe61Tpkzh+eefZ8KECU5/75Lg8uAEMGLECEaMGJHjz9auXZvtWLNmzZxO8SWlX6va9G0ZaF85fN7Go+w8Ec+e00X7FJ+IiFQ8HTt2zFf7w4cPk5KSki1spaenc/311+d57ttvv01ycjJbt26lYcOG9uM7d+5kzZo1+Pj4ZDsnMjLSHpw6dOiQ43Wv7CnL2vYkLi6O+vXrs3PnTjZu3OjQw2Q2m0lNTSUlJaVUrQBfKoJTeWEyGujSyDZ0WK+qN/+a/Tvfbj/JyJuaULdKJRdXJyJSMVVyN7F3crhTbTcfPc/D87dcs92CoZ2cmrtayb3gK1Rf6eq1Co1GY7YOhIyMDPv7pKQkAJYvX07dunUd2nl6euZ5rx49erB8+XK++uorxo0b53DN2267jddffz3bOVfu/5bbuoru7u7291mLUWZtwpyUlMSkSZO46667sp3n5VW6Hq5ScComHRpUpWuj6vweeY656yKZfEcrV5ckIlIhGQwGp4bLAHo0qUltfy9i4lNznOdkAAL9vejRpGaRz1318PCwbxdzLTVr1mT37t0Ox3bs2GEPJy1btsTT05OoqKhrDstdrXPnzowYMYJ+/frh5ubGmDFjAGjfvj3ffvstwcHBRf5UX/v27Tlw4ACNGzcu0usWB5dPDi/PRvZpAsCXW04Ql6B1nERESru8HvjJ+lxcD/wEBwfz559/cuzYMc6ePWvvjclJnz592Lp1K4sWLeLQoUNMmDDBIUj5+voyZswYnnvuORYuXEhkZCTbt2/ngw8+YOHChdespWvXrvz0009MmjTJviDm008/zfnz57nvvvvYsmULkZGR/PLLLwwdOtTpwJebV155hUWLFjFp0iT27NnDvn37+PLLL3nppZcKdd3ioOBUjG5oWI2ODaqSnmnho/VHXF2OiIg4IeuBn0B/xyGiQH8vZj/Yvtge+BkzZgwmk4mWLVtSs2ZNoqKicm0bHh7Oyy+/zPPPP0+nTp1ITExk8ODBDm2mTJnCyy+/zLRp02jRogX9+vVj+fLlhISEOFVP9+7dWb58OS+99BIffPABderUYePGjZjNZm6++WZat27NqFGjqFKlSraHuPIrPDycZcuWsXLlSjp16sQNN9zAu+++S4MGDQp13eJgsJa2WdbFLCEhAX9/f+Lj44t8TaecrDt4hiHzNlPJ3cSGsb2p7pP32LKIiBROamoqR48eJSQkpFDzY8wWq/2Bn1q+tvX4tLRM2ZXXPxf5yQbqcSpmNzapQZt6/lzMMPPphqOuLkdERJyU9cDPHe3q0qVRdYUmARScip3BYLDPdVq06TgXUtJdXJGIiIgUlIJTCQhrUYsWtf1ISstkwe/HXF2OiIiIFJCCUwkwGAyM6G17xHLehqMkpmZc4wwREREpjRScSsgtrQJpXMuHhNRMFm067upyREREpAAUnEqI0Wjg6d6NAPh0w1FS0kvfjs8iIiKSNwWnEnRbmzo0qO7N+eR0vvgz9/U5REREpHRScCpBbiYjT/Wy9TrNXX+E1IzCrbQqIiIiJUvBqYTdeX096lapxJnENL7aesLV5YiIiEg+KDiVMA83I0/2bAjAnLWRpGfmvheRiIhUHFarlccff5xq1aphMBjYsWMHvXr1YtSoUSVWw4IFC6hSpUquPz927Ji9ttJm7dq1GAwGLly4UKz3UXBygXs6BlHL15PT8al8t/2kq8sREZGcWMxw9DfY9Y3tT0vxTq9YsWIFCxYsYNmyZURHR9OqVSu+++47pkyZYm8THBxs33Q3y7XCjhQtN1cXUBF5uZt4omcjpizby4drI7m7Qz3cTMqwIiKlxt6lsGIsJJy+fMyvDvR7HVreXiy3jIyMpHbt2nTt2tV+rFq1asVyr9IkIyMDd3d3V5fhNP3b2kXu71yf6pU9iDqfwtKdp699goiIlIy9S+GrwY6hCSAh2nZ879Iiv+XDDz/MyJEjiYqKwmAwEBwcDOAwVNerVy+OHz/Oc889h8FgwGAwsHbtWoYOHUp8fLz92MSJEwFIS0tjzJgx1K1bl8qVKxMaGsratWsd7rtgwQLq16+Pt7c3d955J+fOnctX3WazmUceeYTmzZsTFWV7WvyHH36gffv2eHl50bBhQyZNmkRm5uUleAwGA7Nnz+b222+ncuXKvPbaa0ycOJF27drx2WefERwcjL+/P//+979JTEy0n2exWJg2bRohISFUqlSJtm3b8s033+TvF10EFJxcpJKHicd62OY6zVxzGLPF6uKKRETKKasV0pOde6UmwM/PAzn9nXzp2IqxtnbOXM/q3N/t7733HpMnT6ZevXpER0ezZcuWbG2+++476tWrx+TJk4mOjiY6OpquXbsyY8YM/Pz87MfGjBkDwIgRI9i0aRNffvklf//9N/fccw/9+vXj0KFDAPz55588+uijjBgxgh07dtC7d29effVVp3+taWlp3HPPPezYsYPffvuN+vXr89tvvzF48GCeffZZ9u7dy9y5c1mwYAGvvfaaw7kTJ07kzjvvZNeuXTzyyCOArcdtyZIlLFu2jGXLlrFu3TqmT59uP2fatGksWrSIOXPmsGfPHp577jkefPBB1q1b53TNRUFDdS70UJcGzFkXyZEzyfy8O5oBbeq4uiQRkfInIwWmFtXfr1ZbT9T0IOeav3AaPCpfs5m/vz++vr6YTCYCAwNzbFOtWjVMJhO+vr4Obfz9/TEYDA7HoqKimD9/PlFRUdSpY/vuY8aMYcWKFcyfP5+pU6fy3nvv0a9fP55//nkAmjZtyu+//86KFSuuWW9SUhL9+/cnLS2NNWvW4O/vD8CkSZMYN24cQ4YMAaBhw4ZMmTKF559/ngkTJtjPv//++xk6dKjDNS0WCwsWLMDX1xeAhx56iIiICF577TXS0tKYOnUqv/76K126dLFfe8OGDcydO5eePXtes+aiouDkQj6ebjzSLYR3fz3IzNWHubVVbYxGg6vLEhGRMm7Xrl2YzWaaNm3qcDwtLY3q1asDsG/fPu68806Hn3fp0sWp4HTfffdRr149Vq9eTaVKlezHd+7cycaNGx16mMxmM6mpqaSkpODt7Q1Ax44ds10zODjYHpoAateuTVxcHACHDx8mJSWFvn37OpyTnp7O9ddff816i5KCk4s93DWYj387wv6YRH7dF8vN1+X8XxoiIlJA7t62nh9nHP8d/nf3tds98A006Hrtdu7ezt23iCUlJWEymdi2bRsmk8nhZz4+PoW+/q233srnn3/Opk2b6NOnj8N9J02axF133ZXtHC8vL/v7ypWz98JdPUHcYDBgsVjs1wVYvnw5devWdWjn6elZ8C9SAApOLubv7c6Qrg2YtSaSD1Yfpm/LAAwG9TqJiBQZg8Gp4TIAGvWxPT2XEE3O85wMtp836gNGUw4/L14eHh6YzeZrHrv++usxm83ExcXRo0ePHK/VokUL/vzzT4djf/zxh1N1DB8+nFatWnH77bezfPly+1BZ+/btOXDgAI0bN3b2KzmlZcuWeHp6EhUVVaLDcjlRcCoFHukWwrwNx9h1Kp51B8/Qq1ktV5ckIlIxGU22JQe+GgwYcAxPl/6jtt90l4QmsA1nrV+/nn//+994enpSo0YNgoODSUpKIiIigrZt2+Lt7U3Tpk154IEHGDx4MG+//TbXX389Z86cISIigjZt2tC/f3+eeeYZunXrxltvvcUdd9zBL7/84tQwXZaRI0diNpsZMGAAP//8M927d+eVV15hwIAB1K9fn7vvvhuj0cjOnTvZvXt3viaeX83X15cxY8bw3HPPYbFY6N69O/Hx8WzcuBE/Pz/7nKqSoKfqSoHqPp48eEN9AD5YfRirk09hiIhIMWh5O9y7CPxqOx73q2M7XkzrODlj8uTJHDt2jEaNGlGzZk0AunbtypNPPsmgQYOoWbMmb7zxBgDz589n8ODB/Oc//6FZs2YMHDiQLVu2UL++7d83N9xwAx9//DHvvfcebdu2ZeXKlbz00kv5qmfUqFFMmjSJW2+9ld9//53w8HCWLVvGypUr6dSpEzfccAPvvvsuDRo0KPR3nzJlCi+//DLTpk2jRYsW9OvXj+XLlxMSElLoa+eHwVrB/i2dkJCAv78/8fHx+Pn5ubocu7iEVLq/sYb0TAtfDAula6Mari5JRKRMSk1N5ejRo4SEhDjMq8k3i9k25ykpFnwCbHOaXNTTJIWX1z8X+ckG6nEqJWr5eXFfJ9vjrR9EHHZxNSIigtEEIT2g9d22PxWaBAWnUuWJno1wNxnYdOQcW4+dd3U5IiIichUFp1KkTpVK3N2hHmCb6yQiIiKli8uD06xZswgODsbLy4vQ0FA2b96cZ/sLFy7w9NNPU7t2bTw9PWnatCk//fRTCVVb/Ib3bIzJaGDdwTPsPHHB1eWIiIjIFVwanBYvXszo0aOZMGEC27dvp23btoSHh9tXCr1aeno6ffv25dixY3zzzTccOHCAjz/+ONtiWGVZ/ere3NHOtjz+zDXqdRIRESlNXBqc3nnnHYYNG8bQoUNp2bIlc+bMwdvbm3nz5uXYft68eZw/f54lS5bQrVs3goOD6dmzJ23bti3hyovX070bYzDAqr2x7ItOcHU5IiJlUgV7aFyuIWsV8sJy2QKY6enpbNu2jfHjx9uPGY1GwsLC2LRpU47nLF26lC5duvD000/zww8/ULNmTe6//37Gjh2bbUn5sqxRTR/6t67Nsr+jmbnmMLPub+/qkkREygx3d3cMBgNnzpyhZs2a2o2hgrNaraSnp3PmzBmMRiMeHh6Fup7LgtPZs2cxm80EBAQ4HA8ICGD//v05nnPkyBFWr17NAw88wE8//cThw4d56qmnyMjIcNh1+UppaWmkpaXZPycklI0enBF9GrPs72h+2hXN4bhEGtfyvfZJIiKCyWSiXr16nDx5kmPHjrm6HCklvL29qV+/PkZj4QbbytSWKxaLhVq1avHRRx9hMpno0KEDp06d4s0338w1OE2bNo1JkyaVcKWF1zzQj5tbBrBybywfronknUHtXF2SiEiZ4ePjQ5MmTcjIyHB1KVIKmEwm3NzciqT30WXBqUaNGphMJmJjYx2Ox8bGEhgYmOM5tWvXxt3d3WFYrkWLFsTExJCenp5j99v48eMZPXq0/XNCQgJBQUFF9C2uUsSrzI7s04SVe2P5Yedpng1rQoPqTm5SKSIimEymcjWNQ0oHl00O9/DwoEOHDkRERNiPWSwWIiIi6NKlS47ndOvWjcOHDztM8Dp48CC1a9fOdczS09MTPz8/h1ex2LsUZrSChQPg20dtf85oZTteQK3r+dO7WU3MFiuz10YWYbEiIiJSEC59qm706NF8/PHHLFy4kH379jF8+HCSk5MZOnQoAIMHD3aYPD58+HDOnz/Ps88+y8GDB1m+fDlTp07l6aefdtVXsNm71LaTdsJpx+MJ0bbjhQhPI/o0AeDb7Sc5deFiYaoUERGRQnLpHKdBgwZx5swZXnnlFWJiYmjXrh0rVqywTxiPiopymMQVFBTEL7/8wnPPPUebNm2oW7cuzz77LGPHjnXVV7ANz60YC+T02KsVMMCKcdC8f4GG7To0qEq3xtXZePgcc9ZGMmVgq8JWLCIiIgVksFawhS7yswOyU47+ZhuWu5Yhy2ybRBbApshz3PfxH3i4Gfnt+d4E+BVit28RERFxkJ9s4PItV8q8pNhrt8lPuxzc0LAanYKrkp5p4aP1Rwp8HRERESkcBafC8gm4dpv8tMuBwWCwz3X635/HOZeUdo0zREREpDgoOBVWg67gVwfIbW0IA/jVtbUrhBub1KBtPX9SMyx8suFooa4lIiIiBaPgVFhGE/R7/dKHnMKTFW5+rVDrOYFjr9Oi349xISW9UNcTERGR/FNwKgotb4d7F4Ff7at+cClInT1YJLcJa1GLFrX9SE43M3/jsSK5poiIiDhPwamotLwdRu22PT33r09tf945x/azda/DyW2FvoXBYGBE78YAzN94lMRUbSUgIiJSkhScipLRZFtyoPXdtj/bDILr7gKrGb4bBunJhb7FLa0CaVzLh4TUTBZtOl4ERYuIiIizFJyKk8EAA94B3zpwPhJWvlToSxqNl3udPt1wlJT0zEJfU0RERJyj4FTcKlWFO2fb3m+dBwd/KfQlB7SpTYPq3pxPTueLP6MKfT0RERFxjoJTSWjYC254yvb+hxGQfLZQl3MzGXm6l63Xae76I6RmmAtZoIiIiDhDwamk3DQBaraA5DhY+gwUcqebgdfXpW6VSpxJTOOrrSeKqEgRERHJi4JTSXH3gn99DEZ3OLAc/vqsUJfzcDPyZK9GAMxZG0l6pqUoqhQREZE8KDiVpMDW0OfSBPGfx8H5wu07d0+HetTy9eR0fCrfbT9ZBAWKiIhIXhScSlrXkdCgG2Qkw3dPgLngT8V5uZt4oqet1+nDtZFkmtXrJCIiUpwUnEqa0WRbGNPTD05uhg3vFupy93euT/XKHkSdT2HpztNFVKSIiIjkRMHJFarUh1vfsr1fNx1OFXxV8UoeJh7r0RCAmWsOY7YUbtK5iIiI5E7ByVXa3AvX3QmWTPju8UKtKv5Qlwb4V3LnyJlkft4dXYRFioiIyJUUnFzFYID+l1YVP3cYVr5c4Ev5eLrxSLcQAGauPoxFvU4iIiLFQsHJlbyrwcAPbe+3fgoHVxb4Ug93C8bX0439MYms2hdbRAWKiIjIlRScXK1Rbwgdbnv/w9MFXlXcv5I7g7s2AGy9TtZCLrApIiIi2Sk4lQZhE6Bmc9uq4j8+W+BVxR/t3pBK7iZ2nYpn7cEzRVykiIiIKDiVBu6V4K5Lq4rvXwZ/fV6gy1Sr7MGDN9QH4IOIQ+p1EhERKWIKTqVF7TbQ50Xb+xXj4PzRAl1m2I0N8XAzsj3qApsizxVhgSIiIqLgVJp0fQbqd4X0JPi+YKuK1/L14r5OQQB8sPpwUVcoIiJSoSk4lSZZq4p7+MKJP2FjwVYVf6JnI9xNBjYdOcfWY+eLuEgREZGKS8GptKnaAG590/Z+7XQ4tT3fl6hTpRJ3d6gHqNdJRESkKCk4lUZt/w0tB16xqnhKvi8xvGdjTEYD6w6eYeeJC0VeooiISEWk4FQaGQww4F3wrQ3nDsGqV/J9ifrVvRnYri6gXicREZGiouBUWl25qviWj+HQqnxf4qnejTAY4Nd9sew9nVDEBYqIiFQ8pSI4zZo1i+DgYLy8vAgNDWXz5s25tl2wYAEGg8Hh5eXlVYLVlqBGfSD0Sdv7H56G5PwtL9Copg8D2tQBYNYa9TqJiIgUlsuD0+LFixk9ejQTJkxg+/bttG3blvDwcOLi4nI9x8/Pj+joaPvr+PHjJVhxCQubaFtVPCkWfnwm36uKP927EQA/7Y7mcFxiMRQoIiJScbg8OL3zzjsMGzaMoUOH0rJlS+bMmYO3tzfz5s3L9RyDwUBgYKD9FRAQUIIVlzD3SnDXR5dXFd/xv3yd3jzQj/DrArBaYdaayGIqUkREpGJwaXBKT09n27ZthIWF2Y8ZjUbCwsLYtGlTruclJSXRoEEDgoKCuOOOO9izZ0+ubdPS0khISHB4lTm120LvF2zvfx6b71XFR/RuAsAPO05x/FxyUVcnIiJSYbg0OJ09exaz2ZytxyggIICYmJgcz2nWrBnz5s3jhx9+4PPPP8disdC1a1dOnjyZY/tp06bh7+9vfwUFBRX59ygR3Z69YlXxJ8FidvrU1vX86d2sJhYrfKheJxERkQJz+VBdfnXp0oXBgwfTrl07evbsyXfffUfNmjWZO3duju3Hjx9PfHy8/XXixIkSrriIOKwq/gdsyN+q4iP62Hqdvt1+klMXLhZHhSIiIuWeS4NTjRo1MJlMxMbGOhyPjY0lMDDQqWu4u7tz/fXXc/hwzk+NeXp64ufn5/Aqs6o2gFvfsL1fOw1O/+X0qR0aVKVb4+pkWqzMWateJxERkYJwaXDy8PCgQ4cORERE2I9ZLBYiIiLo0qWLU9cwm83s2rWL2rVrF1eZpUvb+6DF7QVaVXzkpV6nxVtPEJuQWlwVioiIlFsuH6obPXo0H3/8MQsXLmTfvn0MHz6c5ORkhg4dCsDgwYMZP368vf3kyZNZuXIlR44cYfv27Tz44IMcP36cxx57zFVfoWQZDHDbe+ATCGcPwq8TnD41NKQanYKrkp5p4aP1R4qxSBERkfLJ5cFp0KBBvPXWW7zyyiu0a9eOHTt2sGLFCvuE8aioKKKjo+3t//nnH4YNG0aLFi249dZbSUhI4Pfff6dly5au+gol78pVxTd/BId/deo0g8Fg73X635/HOZuUVlwVioiIlEsGqzWfKyqWcQkJCfj7+xMfH1+25zsB/PQ8bJ4LPgEwfBNUrn7NU6xWKwNnbWTnyXiG92rE2H7NS6BQERGR0is/2cDlPU5SCH0nQY1mtlXFlz3r1KriV/Y6Lfr9GBdS0ou7ShERkXJDwakss68q7gb7foQdXzh12k0tatGith/J6WbmbzxWvDWKiIiUIwpOZV2ddo6riv9z7Jqn2HqdGgMwf+NRElMziq8+ERGRckTBqTzoNgrqd4H0RPjuCadWFe93XSCNa/mQkJrJok3leJNkERGRIqTgVB5cvar4xhnXPsVoYERvW6/TpxuOkpKeWcxFioiIlH0KTuVF1WC45XXb+zVT4fSOa54yoE1tGlT35nxyOl/8GVWs5YmIiJQHCk7lSbv7ocVtl1cVz8h7Tzo3k5Gne9l6neauP0JqhvMbB4uIiFRECk7licEAA96zret09gCsuvaq4ne2r0vdKpU4k5jG4i1ldANkERGREqLgVN5Urg53ZK0qPhcOR+TZ3N1k5MlejQCYsy6S9ExLcVcoIiJSZik4lUdNwqDz47b3S56ClPN5Nr+nQz0C/DyJjk/l2+0nS6BAERGRsknBqbwKmwQ1mkJSDCwbleeq4l7uJh6/0dbr9OHaw2Sa1eskIiKSEwWn8srDG+762Laq+N4fYOeXeTa/v3N9qlf24MT5i/yw43QJFSkiIlK2KDiVZ3XaQa/xtvc//Rf+yX2hy0oeJh7r0RCAWWsPY7ZUqL2fRUREnKLgVN51fw6CbrCtKv593quKP9SlAf6V3DlyJpmfdkWXYJEiIiJlg4JTeWc0wV1zwcMHojbBxvdyberj6cYj3UIAmLn6MBb1OomIiDhQcKoIrl5VPHpnrk0f7haMr6cbB2ITWbUvtmTqExERKSMUnCqKdg9A8wFgyYBvh+W6qrh/JXeGdA0GbL1O1jyexhMREaloFJwqCoMBbnv/8qriv07Mtekj3UPw9jCx61Q8aw+eKbkaRURESjkFp4qkcnW4Y5bt/Z9zIHJ1js2qVfbgwRsaAPBBxCH1OomIiFyi4FTRNOkLnR6zvc9jVfHHeoTg6WZke9QFNkWeK8ECRURESi8Fp4qo7xSo3gQSo2HZczmuKl7L14v7OtcH4P3Vh0q6QhERkVJJwaki8vCGf2WtKr4E/l6cY7PHb2yIu8nAH0fOs+VY3vvdiYiIVAQKThVVneuh1zjb+5/+CxeisjepUom7OwQB8MHqwyVZnYiISKmk4FSRdXsOgkIhLQG+fzLHVcWH92yEyWhg/cEz7DxxoeRrFBERKUUUnCoykxvceWlV8eMb4fcPsjWpX92bge3qAup1EhERUXCq6KqFQL/ptverX81xVfGnejfCYIBf98Wy93RCCRcoIiJSeig4CVz/4OVVxb97PNuq4o1q+jCgTR0AZq1Rr5OIiFRcCk5yaVXx96ByLTizH36dlK3JiN6NAfhpdzSH4xJLukIREZFSoVQEp1mzZhEcHIyXlxehoaFs3rzZqfO+/PJLDAYDAwcOLN4CK4LKNa5YVXx2tlXFmwX6En5dAFYrzFoT6YICRUREXM/lwWnx4sWMHj2aCRMmsH37dtq2bUt4eDhxcXF5nnfs2DHGjBlDjx49SqjSCqDpzdDxUdv7HFYVH9mnCQA/7DjFsbPJJV2diIiIy7k8OL3zzjsMGzaMoUOH0rJlS+bMmYO3tzfz5s3L9Ryz2cwDDzzApEmTaNiwYQlWWwHc/CpUb2xbVXz5aIdVxVvV9ad3s5pYrDB7rXqdRESk4ilQcJo8eTIpKSnZjl+8eJHJkyc7fZ309HS2bdtGWFjY5YKMRsLCwti0aVOe969VqxaPPvpo/gqXa/Pwhrs+sq0qvud7+Psrhx+PuNTr9O32k5z8J/s/AyIiIuVZgYLTpEmTSEpKynY8JSWFSZOyTyzOzdmzZzGbzQQEBDgcDwgIICYmJsdzNmzYwKeffsrHH3/s1D3S0tJISEhweMk11O0APbNWFR/jsKp4hwZV6da4OpkWK3PXHXFRgSIiIq5RoOBktVoxGAzZju/cuZNq1aoVuqjcJCYm8tBDD/Hxxx9To0YNp86ZNm0a/v7+9ldQUFCx1VeudH8O6nW+tKr4cIdVxbPmOi3eeoLYhFRXVSgiIlLi8hWcqlatSrVq1TAYDDRt2pRq1arZX/7+/vTt25d7773X6evVqFEDk8lEbGysw/HY2FgCAwOztY+MjOTYsWPcdtttuLm54ebmxqJFi1i6dClubm5ERmafdzN+/Hji4+PtrxMnTuTnK1dcJje4K2tV8Q2waab9R6Eh1egUXJX0TAsfrVevk4iIVBwGq/WK2b/XsHDhQqxWK4888ggzZszA39/f/jMPDw+Cg4Pp0qVLvgoIDQ2lc+fOfPCBbbsPi8VC/fr1GTFiBOPGjXNom5qayuHDjgswvvTSSyQmJvLee+/RtGlTPDw88rxfQkIC/v7+xMfH4+fnl69aK6Tti2DpSDC6w+NrILA1AOsPnmHwvM14uRvZMLYPNXw8XVyoiIhIweQnG7jl58JDhgwBICQkhK5du+Lu7l7wKi8ZPXo0Q4YMoWPHjnTu3JkZM2aQnJzM0KFDARg8eDB169Zl2rRpeHl50apVK4fzq1SpApDtuBSR6x+Cg7/A/mXw7TB4fC24e9GjSQ3aBlVh54kLfLrhKGP7NXd1pSIiIsUuX8EpS8+ePbFYLBw8eJC4uDgsFovDz2+88UanrzVo0CDOnDnDK6+8QkxMDO3atWPFihX2CeNRUVEYjS5fNaHiylpV/MRmOLMPIiZDv6kYDAZG9m7MY4u2suj3YzxxY0OqeOfd2yciIlLW5WuoLssff/zB/fffz/Hjx7n6dIPBgNlszuVM19NQXQEd/AW+uDR/7aEl0Kg3VquVW9/fwL7oBJ65qQmj+zZ1aYkiIiIFkZ9sUKCunCeffJKOHTuye/duzp8/zz///GN/nT9//toXkLKnaTh0fMT2/tKq4gaDgZF9bHvYLdh4lITUDBcWKCIiUvwKFJwOHTrE1KlTadGiBVWqVHF43P/KCeNSztz8KlRrBImnYfl/wGql33WBNK7lQ0JqJp9tOu7qCkVERIpVgYJTaGhotqfbpALwqAx3fQwGE+z5DnZ9jdFoYERvW6/TJ78dISU908VFioiIFB+nJ4f//fff9vcjR47kP//5DzExMbRu3Trb03Vt2rQpugqldKnXAXqOhbVTYfkYqN+FAW3qMuPXgxw7l8L//ohi2I3aP1BERMonpyeHG41GDAZDtsng9gtd+pkmh1cA5kyY3w9OboHgHjB4KV9tO8Xz3/5NTV9Pfnu+N17uJldXKSIi4pRiWcfp6NGjhS5MygmTm20j4Nnd4dhvsGkmd94wgvciDnHqwkUWbznBkK7Brq5SRESkyBVoOYKyTD1ORWjbQvjxGTB5wLA1fHbMl5eX7Ka2vxfr/tsbDzetvyUiIqVfsa0cnmXp0qU5HjcYDHh5edG4cWNCQkIKcmkpS9oPhoMr4MBP8N0w7hn6KzNXexIdn8q3209yX+f6rq5QRESkSBWoxym3+U5XznPq3r07S5YsoWrVqkVWbFFQj1MRSzoDs7tA8hnoMoJ5lR9j8rK9BFWrxOr/9MLdpF4nEREp3Yp9AcxVq1bRqVMnVq1aRXx8PPHx8axatYrQ0FCWLVvG+vXrOXfuHGPGjCnQF5AyxKcm3DHL9n7TTB6odYwaPh6cOH+RpTtOu7Y2ERGRIlagHqdWrVrx0Ucf0bVrV4fjGzdu5PHHH2fPnj38+uuvPPLII0RFRRVZsUVBPU7F5MdRsG0++NVlXpv/MfnX0zSsUZlVo3tiMhpcXZ2IiEiuir3HKTIyMscL+/n5ceTIEQCaNGnC2bNnC3J5KYvCX7OtKp5wiofOvU8Vb3eOnE3mp13Rrq5MRESkyBQoOHXo0IH//ve/nDlzxn7szJkzPP/883Tq1AmwbcsSFBRUNFVK6XfFquLu+75jepMDAMxcfRiLpUI9uCkiIuVYgYLTp59+ytGjR6lXrx6NGzemcePG1KtXj2PHjvHJJ58AkJSUxEsvvVSkxUopV68D9HwegPBjb9DE8wIHYhNZtS/WxYWJiIgUjQKv42SxWFi5ciUHDx4EoFmzZvTt2xejsXQ/RaU5TsXMnAnzwuHUVqL8OtAz7jmuq1uFH0d0x2DQXCcRESl98pMNtACmFL1zkTCnO2Sk8IblQT5Mv5X5QzvRu1ktV1cmIiKSTbEsgPn+++/z+OOP4+Xlxfvvv59n22eeecbZy0p5VL0R9JsGPz7LaNNiVhta8UFEFXo1raleJxERKdOc7nEKCQlh69atVK9ePc9VwQ0Gg/3JutJIPU4lxGqFL++HAz9xwFqf29MmM/+xHnRtXMPVlYmIiDgo9k1+teGvXJPBALe9Dye30Cw5iv+4fc37qwMVnEREpEwr1Ezu9PR0Dhw4QGZmZlHVI+WJT024fSYAj5l+wnDsN7YcO+/iokRERAquQMEpJSWFRx99FG9vb6677jr76uAjR45k+vTpRVqglHHN+kGHhzEarLzlPodPf93h6opEREQKrEDBafz48ezcuZO1a9fi5eVlPx4WFsbixYuLrDgpJ25+jQz/EOoaztHv+JvsOHHB1RWJiIgUSIGC05IlS5g5cybduzuuzXPdddcRGRlZZMVJOeHpg/s9n2DGxEDT7/y59CNXVyQiIlIgBQpOZ86coVat7GvyJCcn63FzyVm9jiR0ehaAf8e9y8GD+11ckIiISP4VKDh17NiR5cuX2z9nhaVPPvmELl26FE1lUu5U7fcCx7xa4G9Iwfr9k2CxuLokERGRfHF6OYIrTZ06lVtuuYW9e/eSmZnJe++9x969e/n9999Zt25dUdco5YXJHcvAuaT8X1+aXfyLs7++S42b/+PqqkRERJxWoB6n7t27s3PnTjIzM2ndujUrV66kVq1abNq0iQ4dOhR1jVKONGzelu9qDgegyqZpELvHxRWJiIg4r0B71Q0ePJjevXtz44030qhRo+Koq9ho5XDX233yAjFzBxJm+ov06i3wGL4O3DxdXZaIiFRQ+ckGBepx8vDwYNq0aTRt2pSgoCAefPBBPvnkEw4dOlSggqViaVWvCsuCX+Cs1Q+Pc/tg9RRXlyQiIuKUAgWnTz75hIMHDxIVFcUbb7yBj48Pb7/9Ns2bN6devXr5vt6sWbMIDg7Gy8uL0NBQNm/enGvb7777jo4dO1KlShUqV65Mu3bt+OyzzwryNcSFBvftxNiMYQBYf58JR39zcUUiIiLXVqgtV6pWrUr16tWpWrUqVapUwc3NjZo1a+brGosXL2b06NFMmDCB7du307ZtW8LDw4mLi8uxfbVq1XjxxRfZtGkTf//9N0OHDmXo0KH88ssvhfkqUsLa169KWsNwvsjsjQErfP8kXLzg6rJERETyVKA5Ti+88AJr167lr7/+okWLFvTs2ZNevXpx4403UrVq1XxdKzQ0lE6dOjFzpm1PM4vFQlBQECNHjmTcuHFOXaN9+/b079+fKVOuPeSjOU6lxx9HzvHIR2v5yfMFgg0x0Ppe+NfHri5LREQqmGKf4zR9+nQiIyOZMGECX375Je+++y533HFHvkNTeno627ZtIyws7HJBRiNhYWFs2rTpmudbrVYiIiI4cOAAN954Y76/h7jWDQ2r0yq4Ds+lD8eCCXZ9Bbu/dXVZIiIiuSpQcPrrr7948cUX2bx5M926daNu3brcf//9fPTRRxw8eNDp65w9exaz2UxAQIDD8YCAAGJiYnI9Lz4+Hh8fHzw8POjfvz8ffPABffv2zbFtWloaCQkJDi8pPUb0acxf1ibMtgy0HVj2HMSfcmlNIiIiuSlQcGrbti3PPPMM3333HWfOnOGnn37Cw8ODp59+mhYtWhR1jdn4+vqyY8cOtmzZwmuvvcbo0aNZu3Ztjm2nTZuGv7+//RUUFFTs9YnzejSpQdugKrybfgenK7eE1HhYMlyriouISKlUoJXDrVYrf/31F2vXrmXt2rVs2LCBhIQE2rRpQ8+ePZ2+To0aNTCZTMTGxjocj42NJTAwMNfzjEYjjRs3BqBdu3bs27ePadOm0atXr2xtx48fz+jRo+2fExISFJ5KEYPBwMjejXls0QUeSxzGcs8XMRxdB3/OgS5Pubo8ERERBwXqcapWrRqhoaF88cUXNGnShIULF3L27Fm2b9/Ou+++6/R1PDw86NChAxEREfZjFouFiIiIfO15Z7FYSEtLy/Fnnp6e+Pn5ObykdLmpRS1a1vZjb3oAEUHP2A7+OhFi97q0LhERkasVqMfp888/p0ePHkUSQkaPHs2QIUPo2LEjnTt3ZsaMGSQnJzN06FDAtkp53bp1mTZtGmAbeuvYsSONGjUiLS2Nn376ic8++4zZs2cXuhZxDYPBwMg+jRn+v+2MPnI92xr1xT1yFXw3DIat1qriIiJSahQoOPXv37/IChg0aBBnzpzhlVdeISYmhnbt2rFixQr7hPGoqCiMxssdY8nJyTz11FOcPHmSSpUq0bx5cz7//HMGDRpUZDVJyQu/LpAmtXw4FJfE57XGMDR6O8TuhtWvws1aWVxEREqHAq3jVJZpHafS64cdp3j2yx1U9XZn052peH37EGCAh5dBcHdXlyciIuVUsa/jJFIc+reuTXB1b/5JyeCzf1pB+8GQtap4aryryxMREVFwktLDzWTkqd62pyXnrj9C6k2vQtUQiD8BP/3XxdWJiIgoOEkpc+f1dalbpRJnk9JYvPMfuOsjMBjh78Ww+ztXlyciIhWcgpOUKu4mI8N7NQJgzrpI0mp3gB5jbD9c9hwknHZhdSIiUtEpOEmpc3eHegT4eRIdn8p3209Bz+ehTntIvaBVxUVExKUUnKTU8XI38cSNtl6nD9ceJgOTbcjOrRIcWQub57q2QBERqbAUnKRUuq9zfWr4eHDi/EWW7jgNNZpA+Ku2H66aAHH7XFugiIhUSApOUipV8jDxWI+GAMxacxizxQodH4UmN4M5zbaqeGbO2+yIiIgUFwUnKbUevKEBVbzdOXI2meW7osFggNtngnd1iNkFa15zdYkiIlLBKDhJqeXj6cYj3UIAmLX6MBaLFXwD4Lb3bQ02vg/HNriwQhERqWgUnKRUG9I1GF9PNw7EJrJyb6ztYIsBcP2DaFVxEREpaQpOUqr5V3JnSNdgAGauOYR9a8V+06FqsG1V8eVj4OhvsOsb258Ws8vqFRGR8k3BSUq9R7qH4O1hYvepBNYeOGM76OkLd30MGGDXV7BwAHz7qO3PGa1g71KX1iwiIuWTgpOUetUqe/DgDQ0AeH/1Fb1OiTGANfsJCdHw1WCFJxERKXIKTlImPNYjBE83I39FXeD3yHO24bgVY3NpfSlMrRinYTsRESlSCk5SJtTy9eK+zvUB+GD1ITj++zX2rbNCwilbOxERkSKi4CRlxhM9G+JhMvLHkfNEHo107qSk2OItSkREKhQFJykzavtX4u6O9QD4cl+6cycdWgnpKcVYlYiIVCQKTlKmDO/ZCJPRwKcnapNeuTZgyPuEvxfDrFDY9yNYc5hILiIikg8KTlKmBFXz5s7r62LByCeVH7909OrwZLC9uj4D/kEQHwWLH4TP/wXnnBziExERyYGCk5Q5T/VqhNEAb0Q1I6rvHPCr7djArw7cuwhungJPb4YeY8DkAZER8OENEDEZ0pNdU7yIiJRpBqu1Yo1fJCQk4O/vT3x8PH5+fq4uRwromf/7i6U7T3Nr60A+vK+d7em5pFjwCYAGXcFocjzhXCT8PBYOr7J99qsH/aZCi9ttmweLiEiFlZ9soB4nKZOe7t0YgJ93x3DoTAqE9IDWd9v+vDo0AVRvBA98Df/+AvzrQ8JJ2yKZn90JZw+VcPUiIlJWKThJmdQs0Jd+1wVitcKsNYedO8lggOb94ek/4cbnweQJR9bAh11g1QRISyreokVEpMxTcJIya0QfW6/TDztO8/32k/yw4xSbIs9htlxj9NnDG/q8CE9tgiY3gyUDNs6AWZ1hz/d6+k5ERHKlOU5Spg344Dd2n0pwOFbb34sJt7WkX6vauZx1BasVDvxs277lQpTtWEhPuPVNqNmsGCoWEZHSRnOcpEJYsTs6W2gCiIlPZfjn21mxO/raFzEYoPmttqfveo6zDd8dXQezu8KqVzR8JyIiDhScpEwyW6xM+nFvjj/L6kKd9OPeaw/bZXGvBL3H2+Y/Nb0FLJmw8T2Y2Ql2f6vhOxERARScpIzafPQ80fGpuf7cCkTHp7L56Pn8XbhaCNz/Jdz/FVQNhsTT8M0jsOh2iNtfqJpFRKTsKxXBadasWQQHB+Pl5UVoaCibN2/Ote3HH39Mjx49qFq1KlWrViUsLCzP9lI+xSXmHpoK0i6bpuHw1J/Q6wVw84Kj62FON/jlRUhLLNg1RUSkzHN5cFq8eDGjR49mwoQJbN++nbZt2xIeHk5cXFyO7deuXct9993HmjVr2LRpE0FBQdx8882cOnWqhCsXV6rl6+VUuyqV3At+E3cv6DXWNnzXrL9t+G7TTPigI+z6RsN3IiIVkMufqgsNDaVTp07MnDkTAIvFQlBQECNHjmTcuHHXPN9sNlO1alVmzpzJ4MGDr9leT9WVD2aLle6vryYmPpW8/gGuV9WLKQNb07tZrcLf9OBK+Pl5+Oeo7XOD7ran7wJaFv7aIiLiMmXmqbr09HS2bdtGWFiY/ZjRaCQsLIxNmzY5dY2UlBQyMjKoVq1ajj9PS0sjISHB4SVln8loYMJttsCS0xa/AFW93Tn5TypD52/hqf9tIyaPOVFOaXozPPUH9H4J3CrB8Q0wpzuseAFS9c+ViEhF4NLgdPbsWcxmMwEBAQ7HAwICiImJceoaY8eOpU6dOg7h60rTpk3D39/f/goKCip03VI69GtVm9kPtifQ33HYLtDfizkPtmfD2D4M6xGCyWjgp10xhL2zjvkbjzr/pF1O3L2g539hxGZoPgCsZvhjFszsCH9/peE7EZFyzqVDdadPn6Zu3br8/vvvdOnSxX78+eefZ926dfz55595nj99+nTeeOMN1q5dS5s2bXJsk5aWRlpamv1zQkICQUFBGqorR8wWK5uPnicuMZVavl50DqmGyXi5H2rv6QReXLKLv6IuANC6rj+v3dmKNvWqFP7mh3+Fn56H85G2zw26XRq+u67w1xYRkRJRZobqatSogclkIjY21uF4bGwsgYGBeZ771ltvMX36dFauXJlraALw9PTEz8/P4SXli8looEuj6tzRri5dGlV3CE0ALev48e2TXXntzlb4ebmx61Q8d8zayIQfdpOQmlG4mzcOs23dctMr4O4NxzfCnB7w8zhIjS/ctUVEpNRxaXDy8PCgQ4cORERE2I9ZLBYiIiIceqCu9sYbbzBlyhRWrFhBx44dS6JUKeOMRgMPhDYg4j+9GNiuDlYrLNx0nLC317H872gK1fHq5gk9/mNbfbzF7bbhuz9n256+2/F/Gr4TESlHXP5U3eLFixkyZAhz586lc+fOzJgxg6+++or9+/cTEBDA4MGDqVu3LtOmTQPg9ddf55VXXuGLL76gW7du9uv4+Pjg4+NzzfvpqToB2HDoLC//sJujZ5MB6Nm0JlPuaEX96t6Fv/jhCNvTd+cO2z4H3QD934LA1oW/toiIFLn8ZAOXByeAmTNn8uabbxITE0O7du14//33CQ0NBaBXr14EBwezYMECAIKDgzl+/Hi2a0yYMIGJEyde814KTpIlNcPM7LWRzF4bSbrZgqebkWduasKwHg3xcCtkZ2xmGmyaBevfhIwUMBih0zDo/QJUqlIk9YuISNEoc8GpJCk4ydWOnEnipSW7+T3yHACNa/nw2sBWhDasXviLx5+0rTa+d4ntc+WaEDYJ2t4HRpevPysiIig45UnBSXJitVr5YcdpXl2+l7NJ6QDc06Ee429tQbXKHoW/QeQa2/Dd2YO2z/U624bvarct/LVFRKRQFJzyoOAkeYlPyeD1X/bzxZ9RAFTxdueFW1pwT8d6GAxXL7WZT5nptknja1+HjGTb8F3HR6HPi1CpahFULyIiBaHglAcFJ3HGtuP/8OL3u9gfY9vQt3NwNV69sxVNA3wLf/GE07DyJdj9re2zdw0ImwjtHtDwnYiICyg45UHBSZyVYbawYOMx3ll1kIsZZtyMBh6/sSEj+zShkoep8Dc4uh6Wj4GzB2yf63WCW9+COu0Kf20REXGaglMeFJwkv05duMiEH/bw6z7bQq1B1Sox+Y5WRbNxsDkD/pwDa6dDehJggI6PQJ+XwDvn/RdFRKRoKTjlQcFJCmrlnhgmLt3D6UubBd/aOpAJt11HgJ/XNc50QkL0peG7b2yfK1WzDd9d/5CG70REipmCUx4UnKQwktMymfHrQeZtPIbZYsXH040xNzfloS7B2bZ6KZCjv8FP/4Uz+2yf63awDd/VbV/4a4uISI4UnPKg4CRFoVg3DjZnwOaPYM00SE8EDNDhYdt+eBq+ExEpcgpOeVBwkqJisVj5vy1RvP7zfhJSMzEaYHCXYEbf3BQ/L/fC3yAxBla9An8vtn2uVBVumgDtB4OxCCani4gIoOCUJwUnKWpnEtN4bfleluw4DUAtX08m3HYdt7YOLPzaTwDHf7c9fRe3x/a5zvVw69tQr0Phry0iIgpOeVFwkuJy9cbBvZrVZPLtRbRxsDkTtnwMa6ZCWgJggPYPwU0ToXIRbA0jIlKBKTjlQcFJilOxbhwMkBgLv06Anf9n++xVxTb3qcPDGr4TESkgBac8KDhJSSjWjYMBjm+Cn8ZA7G7b59ptbcN3QZ2K5voiIhWIglMeFJykpBT7xsHmTNj6Kax+DdLibceufxDCJkHlGoW/vohIBaHglAcFJylpV28cXNXbnfG3tuCeDkWwcTBAUhz8OhF2/M/22csf+rxsW4Fcw3ciItek4JQHBSdxlZw2Dn7tzlY0KYqNgwGi/oSf/gMxu2yfA9tA/7chqHPRXF9EpJxScMqDgpO4UobZwvyNR3l31aHi2TjYYoat82D1FEi9NHzX7gHb8J1PzcJfX0SkHFJwyoOCk5QGxbpxMEDSGYiYCH99bvvs6Q99XoSOj4LJrWjuISJSTig45UHBSUqTqzcO7t+6Nq/c1rJoNg4GOLHFNnwXvdP2OaA19H8L6t9QNNcXESkHFJzyoOAkpU2xbxxsMcO2+RAxBVIv2I61vQ/6TgafIurhEhEpwxSc8qDgJKXV3tMJvPD9LnacuADYNg6eemdrWtfzL5obJJ+zDd9t/wywgqcf9H4BOg3T8J2IVGgKTnlQcJLSzGKx8sXmKF5fsZ/EKzYO/s/NTfEtio2DAU5usw3fnf7L9rnWdbbhuwZdi+b6IiJljIJTHhScpCw4k5jGq8v38kNxbRxsMcP2RRAxCS7+YzvWZpBt+M43sPDXFxEpQxSc8qDgJGVJsW4cDJBy3haeti0ErODhC73HQ+fHwVREPVwiIqWcglMeFJykrCn2jYMBTm2D5WPg9Hbb51ot4dY3Ibh70VxfRKQUU3DKg4KTlFWRZ5J4+YqNg5vU8uG1O1vTOaRa0dzAYoG/PrNt33LxvO1Y63ug7xTwq1009xARKYUUnPKg4CRlmdVqZcmOU7y6bB/nkoth42CwDd+tngJb52MbvvOBXuMg9EkN34lIuaTglAcFJykPin3jYLA9dbd8DJzaavtcs7lt+C7kRttnixmO/w5JseATYHsqT5sKi0gZlJ9sUEQTJApu1qxZBAcH4+XlRWhoKJs3b8617Z49e/jXv/5FcHAwBoOBGTNmlFyhIqWIv7c7U+9szbfDu9I80Jd/UjJ4/pu/GfTRHxyKTSyam9S5Hh5dBbfPBO/qcGY/LLwNvnkEti2AGa1g4QD49lHbnzNawd6lRXNvEZFSyqXBafHixYwePZoJEyawfft22rZtS3h4OHFxcTm2T0lJoWHDhkyfPp3AQD0yLdKhQVV+HNmdF25tTiV3E5uPnufW93/jzV/2czHdXPgbGI3Q/iEYuc22UKbBCLu/hR+fhYTTjm0TouGrwQpPIlKuuXSoLjQ0lE6dOjFz5kwALBYLQUFBjBw5knHjxuV5bnBwMKNGjWLUqFH5uqeG6qS8ymnj4Cl3tKJXUW0cDHBqO8wLB3N6Lg0M4FcHRu3SsJ2IlBllYqguPT2dbdu2ERYWdrkYo5GwsDA2bdrkqrJEyqy6VSrxyZCOfPRQB+r4e3Hi/EUenr+Fp/+3ndiE1KK5SXpyHqEJwAoJp2xzn0REyiGXBaezZ89iNpsJCAhwOB4QEEBMTEyR3SctLY2EhASHl0h5dvN1gawa3ZNhPUIwGQ0s3xXNTW+vY8HGo5gthexgTop1rt1XQ+D74bDjC7gQVbh7ioiUIi6fHF7cpk2bhr+/v/0VFBTk6pJEil1lTzde7N+SH0d0p11QFZLSMpn4414GztrIrpPxBb+wT8C12wBcPAc7v4Alw2FGa9tryVMKUiJS5rksONWoUQOTyURsrON/wcbGxhbpxO/x48cTHx9vf504caLIri1S2rWs48d3w7vy6sBW+Hq5setUPHfM2sDEpXtITM3I/wUbdLXNYSK3JQ8M4FsH7v8auj8H9TqBwWQLSzv+l0OQ+j+4oP9PikjZ4eaqG3t4eNChQwciIiIYOHAgYJscHhERwYgRI4rsPp6ennh6ehbZ9UTKGqPRwIM3NCD8ukD7xsELfj/GT7ui879xsNEE/V63PT2HAbhy6O/SNW55HZrebHsBpCXBiT/g2Abb69T2y0Fqx/9sbao0gOAeti1egrtDFfUMi0jp5NKn6hYvXsyQIUOYO3cunTt3ZsaMGXz11Vfs37+fgIAABg8eTN26dZk2bRpgm1C+d+9eAG699VYeeOABHnjgAXx8fGjcuLFT99RTdVLRFcnGwXuXwoqxjksS+NWFftOh5e15n5uWCCf+hKO/2YLU6b/AetXSCVlBKuRSmPKv53xtIiL5VKZWDp85cyZvvvkmMTExtGvXjvfff5/Q0FAAevXqRXBwMAsWLADg2LFjhISEZLtGz549Wbt2rVP3U3ASKaKNg4tq5fC0RIj6E47lEaSqBl/qjVKQEpGiV6aCU0lTcBK5rNg3Di4Ie5BafylI7cgjSN0Iwd0UpESkUBSc8qDgJOKoRDYOLozUBNvQnkOPlMWxTdWQq3qk6rqmVhEpkxSc8qDgJJKznDYOfuHWFtxdlBsHF4X8BKmQG6FBNwUpEcmTglMeFJxE8rbt+D+8+P0u9sfYNgvuHFKN1wa2okmAr4sry0VqAkT9cTlIRe/IHqSqNXTskfKr45JSRaR0UnDKg4KTyLVlmC3M33iUd1cd4mKGGXeTgcdvbMiI3k2o5GGbAG62WNl89DxxianU8vWic0g1TMZS0DOlICUi+aTglAcFJxHn5bZxcGqGmUk/7iU6/vIeeLX9vZhwW0v6tartqnJzlhp/VZDamUOQanRFkOqmICVSwSg45UHBSST/Vu6JYeLSPZyOz32z4Ky+ptkPti994elK+Q5S3cGvFH8fESk0Bac8KDiJFExyWiZvrzzAvI3Hcm1jAAL9vdgwtk/pGLZzxsULjkEq5u/sQap648tBqkE3BSmRckbBKQ8KTiIFtynyHPd9/Mc12/3fsBvo0qh6CVRUDK4OUtE7cdxaBscgFdwdfItuf00RKXn5yQYu26tORMqeuMTch+quNPnHPfRsVouWdfxoWduPkBqVy04PVKUq0Kyf7QWXgtSmS3vt/QbRf8O5w7bXtgW2NtWbXN5nT0FKpFxTcBIRp9Xy9XKq3b6YRPZdWs4AwMvdSLNAW4iyhSlfmgf6UdmzDPwVVKkKNLvF9oJcgtQh22vbfFsbBSmRcktDdSLiNLPFSvfXVxMTn3r14BVgm+NUzceDUWFN2B+dyN7oBPZHJ3Ixw5y9rQGCq1emZW0/WtT2vRSo/Anw8yxdC25ey8V/bEN7R3+zBamYXWQb2qvR9HKIatAdfANcUqqI5ExznPKg4CRSOCt2RzP88+2AYzzI7ak6s8XK8XPJ7I1OYO/pBPZFJ7A3OoHYhLQcr1+tsoctSNl7p/xpWLMy7iYnNx92tYv/wPEreqQUpERKPQWnPCg4iRTeit3RhV7H6WxSGvuiLwWp07YwFXkmGbMl+19JHiYjTQN9LvVO2Yb8WtTxw8/Lvci+U7GxB6msHqndZA9SzRyH9nxq5X1NixmO/w5JseATAA26gtFUbF9BpLxTcMqDgpNI0SiOlcNTM8wcik1ib3T8pd4p23BfUlpmju2DqlWiRaCffRJ6yzp+1K1SqXQP9aWcd5wjld8gtXcprBgLCacvH/OrA/1eh5a3l8hXEClvFJzyoOAkUrZYLFZO/nPRFqaiE+3DfacuXMyxvZ+Xm61Xqs7l3qkmAT54upXSHpmsIHX00vIHsbuyt6nZ3Bag3Lxg0yyyBa2sgdJ7Fyk8iRSAglMeFJxEyocLKen2Hqmsob7DcYlkmLP/leZmNNC4ls8V86ZsoapqZQ8XVH4NKedtw3DHNuQepHJksPU8jdqlYTuRfFJwyoOCk0j5lZ5p4XBcEnuvmjsVfzEjx/a1/b3sYSqrd6p+NW+MpWnNqawg9fdi2Lf02u29a0DVYNvq5r51Lv/pG2gLVr61wdOn2MsWKUsUnPKg4CRSsVitVk7Hp7LvUojKClNR51NybF/Zw0SLrEnol3qnmgX64uXu4l6cXd/At48WzbU8/WwBKqdQlXXMp5Z6rqTC0MrhIiKXGAwG6lapRN0qlQhrefmx/8TUDPbH2OZM7T2dwL6YBPbHJJKcbmbr8X/Yevwfe1ujARrW9MnWO1XT17PkvoiPk0sW3Pq2LfQkRtteCdGQePrSn9GQngRpCbbX2QO5X8dgtN3Tt3b2UHVl0PLSf4BKxaIeJxGRSzLNFo6cTXZYb2rv6QTOJafn2L6mr+flJRKKe3sZixlmtLIFoNyWH3VmjlNqAiTGXBGmrghVCadtP0uKyb7RcW48fPLovbr0p08AmPTf6VJ6aaguDwpOIpIfVquVuMQ0h2G+fdEJHD2bTE5/exbr9jJ7l8JXg7Mqu+IHRfxUncUMSXGOoSqn3qu0BCcvaLD1guXUe+VX2/bZtzZ4+duWlBcpYQpOeVBwEpGikJKeaR/qy+qdKpHtZfYuxbpiLIYr1nGy+tXF0G96yS9FkJaUS+/VpZ6rhGhb75Ul53W4snH3dgxXOfVe+QaCyUULn2rh0XJLwSkPCk4iUlzMFivHziU7PNG393QCcYk5by9T1dvdYfHOFrX9aFTTJ8/tZVbsjmbK0l0EJe2kFheIowonfNry8u2tnV61vURZLJB85hq9V6chNd7JCxqgcs2cQ9WVvVeVqhZt75UWHi3XFJzyoOAkIiUta3uZK3unCrK9TNY+gbksf5ltn8AyJT0l91CV1XuVGA2WnJeWyMatkmO4yrH3qja4ObGWl32IVAuPllcKTnlQcBKR0iA1w8zB2ESH3ql90Ym5bi9Tt4oXZ5PSScvMedK2AQj092LD2D7FMzm9NLBYIOVcDr1Xpx0D18V/rn2tLN41HHurHMJVIFQOgI97OvY0OdDCo+WBglMeFJxEpLRy2F7mijCV2/YyOWlVx496Vb3x8XLD18sNX0+3S+/d8fG8dMzLDR9Pd9ufXm74eLiVrkU/CysjNZdQddUxc85PSxZIjzFQt71tnpZHZdsr6727t+1lzH0IVlxLwSkPCk4iUtZcSEnnk9+OMHNNZLHdw8fTzR6sfLxs7/2uCFsOx7zcHEJYVijz9jCV7g2Wr2S12lZlv1bvVcq5ortnVoDy8Ab3S+HK/j4rZGUdyyWAefhk/7mbV/l+GrEEJuVrAUwRkXKkircH3RrXdCo4Pd27EYF+XiSmZZKYmklSaiZJaZkkpmaQmHrpWNrlY1l7+2Udi3F2hYEcGA1cClSOgcuhtyvXHjDbcT8vdzzdjMUfwAwGqFzd9gpsnXu7w6vh8zuvfb3Atran/TJSID350p8pkJF8uU1Giu2V86L1hWC4IlhdCld5BbTcAphDQLt0zOTh2lBWCiflKziJiJQBnUOqUdvfi5j41NyWvyTQ34vRfZs5PcfJarWSlmm5FKJsISsxNYPEtMvvk9IyHUKY/dgVISwxNQOLFSxWSEjNJCHVyeUHcuFmNFzRy+V+VeC64pi95yt7CPP1csfDrQiGxhr25GKlQDxTYsjp12qxQpp3IJUeX5NzL4jFApkXL4eo9OQr3l8KUulJjsfSk6/6eXL2MJaeDJmpl25ivXSNJEjOXkKhGExXhalC9pA5hLJrLCtxaVK+FStX/uqtCdEYvhrsskn5pSI4zZo1izfffJOYmBjatm3LBx98QOfOnXNt//XXX/Pyyy9z7NgxmjRpwuuvv86tt95aghWLiJQsk9HAhNtaMvzz7RjIcflLJtzWMl8Tww0GA17uJrzcTdTwKfj2MVarlYsZZpIuhaaktJxCWCZJaZd6va4KZvafp2ditUKmxco/KRn8k5IBOD+/62oebkZ8r+z58nS/9Kdb9mB2RSi7MoRVcjcxKWMwU3kDixWH8JT1UOSkjMG8hpEcB4+MxstBgZoF/i45spgvh6n0pOzBKteAdnUYS85+naz5X1bz5S16iprRPZcesktB6/Cv2UITgOHSUcOKcdC8f4lPynf5HKfFixczePBg5syZQ2hoKDNmzODrr7/mwIED1KpVK1v733//nRtvvJFp06YxYMAAvvjiC15//XW2b99Oq1atrnk/zXESkbJsxe5oJv24l+j4VPux2v5eTLitZdldiuASi8VKcvrl4HV1CEtKu3TsihB2uffrck9YSnr2RUgLK9y4mQnui6hjOG8/dtpanUkZD/GLpTM3NKxGgJ8XJqMBd6MRk8mAm9GAm9GIm8lw6bgB06XPbkbbMTejATeT0f7Z3WTM8XjW58vvbde2nZPVxvHaV14r30Of5sycA5hDb1huPWS5BbRL5zi7IKozhiyDkB6FvkyZmhweGhpKp06dmDlzJgAWi4WgoCBGjhzJuHHjsrUfNGgQycnJLFu2zH7shhtuoF27dsyZM+ea91NwEpGyzmyxsvnoeeISU6nl60XnkGrldwmCAjBbrPYhxCt7tBKzjjkErpxCmO1Yaobj0g9GLHQ27rcvPLrZ0hwLZeNJOdOVAeyKEOZuNFwKeVeEtKs+u+cS2C6HNOMV4S2PIGg0YDIZ8SATT8tFvLiIhyUNT8tFPC693C2puJsv4he7mYAj317ze1nu+gRjm3sK/fspM5PD09PT2bZtG+PHj7cfMxqNhIWFsWnTphzP2bRpE6NHj3Y4Fh4ezpIlS4qzVBGRUsNkNNClUXVXl1FqmYwG/Cu541+pcFuzpGdaWHcgjmGfbQPAgpE/LC1zbPtw12DqVa2E2WIl02K1/Wm22N9nmK2YLbbPmeasNhYyLFbMlz5nWiyXzrO9z+1c86W2l69jJcNssd87J+ZL7YpwAYYiZgJ8Lr3gBmMiXzqxNum+RG+uK9a6snNpcDp79ixms5mAgACH4wEBAezfvz/Hc2JiYnJsHxMTk2P7tLQ00tIub3eQkFAM47QiIlLueLgZ6dMiwKlJ+S8PyN/8suJitVqvCm+XA9nlkOYYwjJyCmzXCG/24Ge+fL/MK8KbM6ExrxqOJbfhdEY1Ajmf66T8GKpz2Lt1xQpOJWHatGlMmjTJ1WWIiEgZVByT8ouTwXBpCK2ML2K+KfIckz4dzGz3GXlMyn+Ih/0ql3htLh2crVGjBiaTidjYWIfjsbGxBAYG5nhOYGBgvtqPHz+e+Ph4++vEiRNFU7yIiFQI/VrVZvaD7Qn093I4HujvVbb3ByzFOodU42/fG3kqYxQxVHP4WQzVeSpjFH/73kjnkGq5XKH4uLTHycPDgw4dOhAREcHAgQMB2+TwiIgIRowYkeM5Xbp0ISIiglGjRtmPrVq1ii5duuTY3tPTE0/Pgj9mKyIi0q9Vbfq2DNSk/BJyuacvlVVpHel0xaT8LZcm5c92UU+fy4fqRo8ezZAhQ+jYsSOdO3dmxowZJCcnM3ToUAAGDx5M3bp1mTZtGgDPPvssPXv25O2336Z///58+eWXbN26lY8++siVX0NERMo5TcovWVk9fZN+3Msf8Zcn5bt6+Q2XB6dBgwZx5swZXnnlFWJiYmjXrh0rVqywTwCPiorCeMXGiF27duWLL77gpZde4oUXXqBJkyYsWbLEqTWcREREpOwojT19Ll/HqaRpHScRERG5Un6yQdlYuUtERESkFFBwEhEREXGSgpOIiIiIkxScRERERJyk4CQiIiLiJAUnERERESe5fB2nkpa1+oI2+xURERG4nAmcWaGpwgWnxMREAIKCglxciYiIiJQmiYmJ+Pv759mmwi2AabFYOH36NL6+vhgMRb/yaEJCAkFBQZw4cUILbJYg/d5dQ79319Hv3jX0e3eN4v69W61WEhMTqVOnjsNuJTmpcD1ORqORevXqFft9/Pz89H8qF9Dv3TX0e3cd/e5dQ7931yjO3/u1epqyaHK4iIiIiJMUnEREREScpOBUxDw9PZkwYQKenp6uLqVC0e/dNfR7dx397l1Dv3fXKE2/9wo3OVxERESkoNTjJCIiIuIkBScRERERJyk4iYiIiDhJwakIzZo1i+DgYLy8vAgNDWXz5s2uLqncW79+Pbfddht16tTBYDCwZMkSV5dUIUybNo1OnTrh6+tLrVq1GDhwIAcOHHB1WeXe7NmzadOmjX0tmy5duvDzzz+7uqwKZ/r06RgMBkaNGuXqUsq9iRMnYjAYHF7Nmzd3aU0KTkVk8eLFjB49mgkTJrB9+3batm1LeHg4cXFxri6tXEtOTqZt27bMmjXL1aVUKOvWrePpp5/mjz/+YNWqVWRkZHDzzTeTnJzs6tLKtXr16jF9+nS2bdvG1q1b6dOnD3fccQd79uxxdWkVxpYtW5g7dy5t2rRxdSkVxnXXXUd0dLT9tWHDBpfWo6fqikhoaCidOnVi5syZgG1rl6CgIEaOHMm4ceNcXF3FYDAY+P777xk4cKCrS6lwzpw5Q61atVi3bh033nijq8upUKpVq8abb77Jo48+6upSyr2kpCTat2/Phx9+yKuvvkq7du2YMWOGq8sq1yZOnMiSJUvYsWOHq0uxU49TEUhPT2fbtm2EhYXZjxmNRsLCwti0aZMLKxMpGfHx8YDtX+JSMsxmM19++SXJycl06dLF1eVUCE8//TT9+/d3+Lteit+hQ4eoU6cODRs25IEHHiAqKsql9VS4veqKw9mzZzGbzQQEBDgcDwgIYP/+/S6qSqRkWCwWRo0aRbdu3WjVqpWryyn3du3aRZcuXUhNTcXHx4fvv/+eli1burqscu/LL79k+/btbNmyxdWlVCihoaEsWLCAZs2aER0dzaRJk+jRowe7d+/G19fXJTUpOIlIoTz99NPs3r3b5fMOKopmzZqxY8cO4uPj+eabbxgyZAjr1q1TeCpGJ06c4Nlnn2XVqlV4eXm5upwK5ZZbbrG/b9OmDaGhoTRo0ICvvvrKZcPTCk5FoEaNGphMJmJjYx2Ox8bGEhgY6KKqRIrfiBEjWLZsGevXr6devXquLqdC8PDwoHHjxgB06NCBLVu28N577zF37lwXV1Z+bdu2jbi4ONq3b28/ZjabWb9+PTNnziQtLQ2TyeTCCiuOKlWq0LRpUw4fPuyyGjTHqQh4eHjQoUMHIiIi7McsFgsRERGaeyDlktVqZcSIEXz//fesXr2akJAQV5dUYVksFtLS0lxdRrl20003sWvXLnbs2GF/dezYkQceeIAdO3YoNJWgpKQkIiMjqV27tstqUI9TERk9ejRDhgyhY8eOdO7cmRkzZpCcnMzQoUNdXVq5lpSU5PBfHkePHmXHjh1Uq1aN+vXru7Cy8u3pp5/miy++4IcffsDX15eYmBgA/P39qVSpkourK7/Gjx/PLbfcQv369UlMTOSLL75g7dq1/PLLL64urVzz9fXNNn+vcuXKVK9eXfP6itmYMWO47bbbaNCgAadPn2bChAmYTCbuu+8+l9Wk4FREBg0axJkzZ3jllVeIiYmhXbt2rFixItuEcSlaW7dupXfv3vbPo0ePBmDIkCEsWLDARVWVf7NnzwagV69eDsfnz5/Pww8/XPIFVRBxcXEMHjyY6Oho/P39adOmDb/88gt9+/Z1dWkixeLkyZPcd999nDt3jpo1a9K9e3f++OMPatas6bKatI6TiIiIiJM0x0lERETESQpOIiIiIk5ScBIRERFxkoKTiIiIiJMUnEREREScpOAkIiIi4iQFJxEREREnKTiJiIiIOEnBSUTKpV69ejFq1ChXlyEi5YyCk4iIiIiTFJxEREREnKTgJCLl3meffUbHjh3x9fUlMDCQ+++/n7i4OIc2S5cupUmTJnh5edG7d28WLlyIwWDgwoULrilaREolBScRKfcyMjKYMmUKO3fuZMmSJRw7doyHH37Y/vOjR49y9913M3DgQHbu3MkTTzzBiy++6LqCRaTUcnN1ASIixe2RRx6xv2/YsCHvv/8+nTp1IikpCR8fH+bOnUuzZs148803AWjWrBm7d+/mtddec1XJIlJKqcdJRMq9bdu2cdttt1G/fn18fX3p2bMnAFFRUQAcOHCATp06OZzTuXPnEq9TREo/BScRKdeSk5MJDw/Hz8+P//3vf2zZsoXvv/8egPT0dBdXJyJljYbqRKRc279/P+fOnWP69OkEBQUBsHXrVoc2zZo146effnI4tmXLlhKrUUTKDvU4iUi5Vr9+fTw8PPjggw84cuQIS5cuZcqUKQ5tnnjiCfbv38/YsWM5ePAgX331FQsWLADAYDC4oGoRKa0UnESkXKtZsyYLFizg66+/pmXLlkyfPp233nrLoU1ISAjffPMN3333HW3atGH27Nn2p+o8PT1dUbaIlFIGq9VqdXURIiKlzWuvvcacOXM4ceKEq0sRkVJEc5xERIAPP/yQTp06Ub16dTZu3Mibb77JiBEjXF2WiJQyCk4iIsChQ4d49dVXOX/+PPXr1+c///kP48ePd3VZIlLKaKhORERExEmaHC4iIiLiJAUnEREREScpOImIiIg4ScFJRERExEkKTiIiIiJOUnASERERcZKCk4iIiIiTFJxEREREnKTgJCIiIuKk/wfNHQNbCmOkyAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mu_hat = np.asarray(fit[\"mu\"], dtype=float)\n", "alpha_hat = float(fit[\"alpha\"])\n", "beta_hat = float(fit[\"beta\"])\n", "kernel_hat = np.asarray(kernel_true, dtype=float)\n", "\n", "print(\"mu_true:\", np.round(mu_true, 3))\n", "print(\"mu_hat:\", np.round(mu_hat, 3))\n", "print(\"alpha_true:\", alpha_true, \"alpha_hat:\", round(alpha_hat, 3))\n", "print(\"beta_true:\", beta_true, \"beta_hat:\", round(beta_hat, 6))\n", "\n", "fig, ax = plt.subplots(figsize=(6, 4))\n", "ax.plot(kernel_true, marker=\"o\", label=\"kernel (true)\")\n", "ax.plot(kernel_hat, marker=\"o\", linestyle=\"--\", label=\"kernel (fit input)\")\n", "ax.set_title(\"Discrete lag kernel\")\n", "ax.set_xlabel(\"lag\")\n", "ax.set_ylabel(\"weight\")\n", "ax.legend()\n", "plt.tight_layout()\n" ] }, { "cell_type": "markdown", "id": "3814a43f", "metadata": {}, "source": [ "## 7. Reconstruct intensities on the training window\n", "\n", "We reconstruct the conditional intensities \\(\\lambda_{i,t}\\) under the fitted parameters and compare them to the observed counts. This gives a **sanity check** on how well the fitted model explains the training data." ] }, { "cell_type": "code", "execution_count": 11, "id": "e693b543", "metadata": { "execution": { "iopub.execute_input": "2026-02-17T05:54:07.955916Z", "iopub.status.busy": "2026-02-17T05:54:07.955747Z", "iopub.status.idle": "2026-02-17T05:54:08.211074Z", "shell.execute_reply": "2026-02-17T05:54:08.210514Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "intensity_hat shape: (5, 40)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "intensity_hat = road_intensity_matrix(\n", " travel_time_s=travel_time_s,\n", " mu=mu_hat,\n", " alpha=alpha_hat,\n", " beta=beta_hat,\n", " kernel=kernel_hat,\n", " y=y_train,\n", ")\n", "\n", "print(\"intensity_hat shape:\", intensity_hat.shape)\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 4))\n", "\n", "im1 = axes[0].imshow(intensity_hat, aspect=\"auto\", cmap=\"Oranges\")\n", "axes[0].set_title(\"Fitted intensity (train)\")\n", "axes[0].set_ylabel(\"location\")\n", "fig.colorbar(im1, ax=axes[0], shrink=0.8)\n", "\n", "im2 = axes[1].imshow(y_train, aspect=\"auto\", cmap=\"Blues\")\n", "axes[1].set_title(\"Observed counts (train)\")\n", "axes[1].set_ylabel(\"location\")\n", "fig.colorbar(im2, ax=axes[1], shrink=0.8)\n", "\n", "plt.tight_layout()\n" ] }, { "cell_type": "code", "execution_count": 12, "id": "deb62da5", "metadata": { "execution": { "iopub.execute_input": "2026-02-17T05:54:08.213760Z", "iopub.status.busy": "2026-02-17T05:54:08.213612Z", "iopub.status.idle": "2026-02-17T05:54:08.382400Z", "shell.execute_reply": "2026-02-17T05:54:08.381919Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10, 4))\n", "\n", "for i in range(n_locations):\n", " ax.plot(intensity_hat[i], color=f\"C{i}\", alpha=0.7, label=f\"loc {i} intensity\")\n", " ax.plot(y_train[i], color=f\"C{i}\", linestyle=\"--\", alpha=0.5, label=f\"loc {i} counts\")\n", "\n", "ax.set_title(\"Intensity vs. counts (training window)\")\n", "ax.set_xlabel(\"time step\")\n", "ax.set_ylabel(\"value\")\n", "ax.legend(ncol=2, fontsize=8)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "55da1ac7", "metadata": {}, "source": [ "### Reconstruction diagnostics\n", "\n", "We can quantify how well the fitted model explains the training data using the Poisson log-likelihood and a simple error heatmap." ] }, { "cell_type": "code", "execution_count": 13, "id": "d106e9f0", "metadata": { "execution": { "iopub.execute_input": "2026-02-17T05:54:08.384414Z", "iopub.status.busy": "2026-02-17T05:54:08.384271Z", "iopub.status.idle": "2026-02-17T05:54:08.615682Z", "shell.execute_reply": "2026-02-17T05:54:08.615074Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train log-likelihood: -132.59\n", "Log-likelihood per step: -0.6629\n" ] }, { "data": { "image/png": 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EunTpImOMSktL/eedbH/ndrs1cuRIvfXWW1qzZk2Fr5fFd8EFF+iTTz7RihUr/F8rKirSU089pfbt26tLly6S5F/+snz5cn85r9erp556qtr7qkp0dLSkisl5YWGhjh49Wu5c9+7d5Xa7j/t+dujQQZmZmf6jf//+1rFVp6rYR40apbCwMM2cObPCrKgxpsJ77ITTcVFZjFUlpOHh4brqqqv08ssvKycnR927d1ePHj2qjaV169ZKTk6udEwdr72qhIWFVeinxx57rMq/dNTG2rVr1bVr13rf9QVA3WJGGqiBW265RZdffrlycnL0+9//XrNmzdI555yj7t27a8KECerQoYP27t2rFStW6Ouvv9Znn30m6dhjgDMyMtSrVy8lJCRozZo1mjdvniZNmlRlW6effrquuuoq/f3vf1dBQYH69eunxYsXa/v27RXKjh49WrfeeqsuueQSTZ48WYcPH9bs2bPVsWPHch+KOv/88xUREaERI0bod7/7nQ4dOqSnn35aLVq0qPSXgZ87//zzlZSUpP79+6tly5bavHmzHn/8cQ0fPlyxsbH+ck63v/vb3/6m9957TwMHDtR1112n0047Tbt379Yrr7yiDz/8UE2aNNFtt92mF154QcOGDdPkyZOVkJCgZ599Vjt27NCrr77q/1N/165ddfbZZ2vatGn6/vvvlZCQoBdffLFCwlsTqampatKkiZ544gnFxsYqOjpaffr00WeffaZJkybp8ssvV8eOHXX06FE999xzCgsL06WXXmrdXl3q1auXpGOPyh49erQaNWqkESNGKDU1VXfeeaemTZumnTt3auTIkYqNjdWOHTs0f/58XXfddbr55ptr1JbTcVFZjLNnz9add96ptLQ0tWjRotwa6DFjxujRRx/VkiVLdM899ziO5+KLL9b8+fNljCk3C11de5W58MIL9dxzzyk+Pl5dunTRihUr9P777/uXkNSV0tJS/z7WAE4wgd4mBAh1ZdthVbYtm9frNampqSY1NdW/VVZubq4ZM2aMSUpKMo0aNTKtW7c2F154oZk3b56/3p133mnS09NNkyZNTOPGjU3nzp3NXXfdZUpKSvxlKtvu7McffzSTJ082zZo1M9HR0WbEiBEmPz+/wvZ3xhjz3nvvmW7dupmIiAjTqVMn869//avSa7755pumR48eJjIy0rRv397cc8895p///GeF7cl+uf3dk08+ac4991zTrFkz4/F4TGpqqrnllltMQUFBuevL4fZ3xhjz1VdfmTFjxvi3FuzQoYPJysoyxcXF/jK5ubnmsssuM02aNDGRkZEmPT3dLFiwoMK1cnNzTWZmpvF4PKZly5bmT3/6k1m0aFGl25JVtl1bZVsIvvHGG6ZLly4mPDzcvxXel19+aX7729+a1NRUExkZaRISEsygQYPM+++/7+ienapq+7usrKwKZdu1a1dha7i//vWvpnXr1sbtdld4b1999VVzzjnnmOjoaBMdHW06d+5ssrKyzNatW/1lnPaTk3FR2fZ3e/bsMcOHDzexsbFVjpmuXbsat9ttvv766yp6qaJ169ZV2DLxeO0d7/v9hx9+MOPHjzfNmzc3MTExZsiQIWbLli0V+ruq7e+cjrN33nnHSDLbtm1zfJ8AQoPLGIuPNwMAUM/OOOMMJSQkaPHixTWqN3jwYLVq1UrPPfdcPUVWt0aOHCmXy1VhKRaA0EciDQAIOWvWrNFZZ52lnJwcjR07tkZ1V61apQEDBmjbtm3+D6SGqs2bN6t79+5av359tdtBAgg9JNIAgJCxceNGrV27Vg888ID279+vL7/8skY7wgBAILFrBwAgZMybN0/jx49XaWmpXnjhBZJoACGNGWkAAADAAjPSAAAAgAUSaQAAAMDCCf1AFp/Pp127dik2Ntbq8a8AAAANlTFGBw8eVKtWrfwPsELdOqET6V27dik5OTnYYQAAAISs/Px8tWnTJthhNEgndCJd9vjZ95avU3RM1Y+irYrXhFm163b5rOpJkjH2M+fNn6rZo3vL7Bz/uHWbjdxe67pd979vVc/rqfl7WcZY/sb9qae/dZs9j66yruvy2fXvpsbp1m32OLDEuu7GJoOs6oXVYhx12fuedd1NLX9l2eaiWrR5vnVd2++32vxMOuqz+zkoST7Z/Tw7bW/NHrDyc5taDLaua/uHy9P2fWDd5hfNM63qNQqz/55xyX4PgVP32P182NTC7j4lyeWyjzfccuyX+uxnZxu57b/fbL9Xbd/TokMHdf65Z/rzJdS9EzqRLlvOER0Tq5iTIJGO9TSyqhcdE2fdZm0S6bgfo6zqeSPt6kmScdu9p9Ee+z6KOxptXdc2kY5uXIt4S+3713Ys1SaRjjtkH2+MZby1abM2328R7qNW9WqXSNv/N2CbSAfjPZXsE+m4osCPh4gwu7Eg1S6Rjou2u9fajHt3rRJpu58tpbX4BbI2/y8GOpH212f5a71hwQwAAABggUQaAAAAsEAiDQAAAFggkQYAAAAskEgDAAAAFkikAQAAAAsk0gAAAIAFEmkAAADAAok0AAAAYIFEGgAAALBAIg0AAABYIJEGAAAALJBIAwAAABZIpAEAAAALJNIAAACABRJpAAAAwAKJNAAAAGCBRBoAAACwQCINAAAAWCCRBgAAACyQSAMAAAAWSKQBAAAACyTSAAAAgIWQSKRnzZql9u3bKzIyUn369NEnn3wS7JAAAACA4wp6Iv3SSy9p6tSpmjFjhtatW6eePXtqyJAh2rdvX7BDAwAAAKoU9ET6wQcf1IQJEzR+/Hh16dJFTzzxhKKiovTPf/4z2KEBAAAAVQpqIl1SUqK1a9cqMzPTf87tdiszM1MrVqwIYmQAAADA8YUHs/H9+/fL6/WqZcuW5c63bNlSW7ZsqVC+uLhYxcXF/teFhYX1HiMAAADqxpEjR1RSUuK4fEREhCIjI+sxotoJaiJdU9nZ2Zo5c2awwwAAAEANHTlyRK0ax+gHeR3XSUpK0o4dO0I2mQ5qIt28eXOFhYVp79695c7v3btXSUlJFcpPmzZNU6dO9b8uLCxUcnJyvccJAACA2ikpKdEP8urZyA6KcrC6+LB8GrvnS5WUlIRsIh3UNdIRERHq1auXFi9e7D/n8/m0ePFi9e3bt0J5j8ejuLi4cgcAAABOHNHhYYppFF7tER0eFuxQqxX0pR1Tp07V2LFj1bt3b6Wnp+vhhx9WUVGRxo8fH+zQAAAAUMdcjdxyuaqfy3UZE4BoaifoifSVV16pb7/9VtOnT9eePXt0+umna+HChRU+gAgAAIATnzvMJbfbVX05X/Vlgi3oibQkTZo0SZMmTQp2GAAAAKhnYY3dCnNXPyMd5mNGGgAAAPBzNXLJ5WBG2sWMNAAAAPATd5hL7jAHSzu8JNIAAACAnyvMJZeDRNolEmkAAADAz/GMNIk0AAAA8BOX2+EaaUMiDQAAAPi5wtxyhTnYR1rs2gEAAAD4sbQDAAAAsOBysf0dAAAAUGOuMDmakXaF/soOEmkAAAAEjuPt7/iwIQAAAPATl9stl4NHhDspE2wk0gAAAAgYx9vfOSgTbCTSAAAACBjHu3awtAMAAAD4CTPSAAAAgAWXy+EaaRdrpAEAAAC/hjQjHfqpPgAAABqMsjXSTo6ayM7O1llnnaXY2Fi1aNFCI0eO1NatW+vpLo4hkQYAAEDAlM1IOzlqYtmyZcrKytLKlSu1aNEilZaW6vzzz1dRUVE93QlLOwAAABBA9bWP9MKFC8u9zsnJUYsWLbR27Vqde+65NbqWUyTSAAAACBh3uFvu8OqTZLep3cKJgoICSVJCQkKtrnM8JNIAAAAImJp+2LCwsLDceY/HI4/Hc9y6Pp9PU6ZMUf/+/dWtWzf7YKvBGmkAAAAEzLFE2u3gOJZIJycnKz4+3n9kZ2dX20ZWVpY2btyoF198sV7vhRlpAAAABIzL7WxHDpf3WJn8/HzFxcX5z1c3Gz1p0iQtWLBAy5cvV5s2bWoXbDVIpAEAABAwNV3aERcXVy6RrooxRjfccIPmz5+vpUuXKiUlpdaxVqdBJNKpO99VXHTjGtf7vO0lVu113/WuVT1J2tBquHXdb7Met6oXZUqs2wx3H7Wum3vKQKt6XhNm3Wanr9+zqndW9GLrNk1YI+u6ayMHWNWLctu/p67SI9Z1bTVye63rbm892LquR6VW9XJbn2fdZqTs3xu3fFb10na8bd3mhrajrOtGWP582N5qkHWbtu+pJLlkrOrZ/iyTpMYqtqpnOxZqK7dVhlW9HnlvWbe5ofUI67otn5hkVW/z+DnWbcZ57H+GRrjs3lfbsWtbr77V164dWVlZmjt3rt544w3FxsZqz549kqT4+Hg1blzzPNEJ1kgDAAAgYOprH+nZs2eroKBAGRkZOuWUU/zHSy+9VE930kBmpAEAAHBiqK9HhBsT+Bl4EmkAAAAETH0t7QgGEmkAAAAETH3NSAcDiTQAAAAChhlpAAAAwIbLdexwUi7EkUgDAAAgYFwuh0s7SKQBAACAn7C0AwAAALDAhw0BAAAAC8xIAwAAABZcbmezza7Qz6NJpAEAABA4LO0AAAAAbLjdxw4n5UIciTQAAAACxh0WJndYmKNyoY5EGgAAAAHD0g4AAADAhsvh0o4T4NOGJNIAAAAIHIcz0mJGGgAAAPiJy+WWy8Fss5MywUYiDQAAgMBxu5zNNjMjDQAAAPyEJxsCAAAAFti1AwAAALDhcjnbkcNFIg0AAAD4MSMNAAAA2OAR4QAAAEDNuVwuuRws23BSJtiCmuovX75cI0aMUKtWreRyufT6668HMxwAAADUt7InG1Z3nAD7SAc1wqKiIvXs2VOzZs0KZhgAAAAIkLI10k6OUBfUpR3Dhg3TsGHDghkCAAAAAsnlcLb5BJiRZo00AAAAAocnGwZHcXGxiouL/a8LCwuDGA0AAABqyuVyy+VgttlJmWAL/Qh/Jjs7W/Hx8f4jOTk52CEBAACgJspmpJ0cIe6ESqSnTZumgoIC/5Gfnx/skAAAAFADLrfb8RHqTqilHR6PRx6PJ9hhAAAAwJbL5ezx3yfAPtJBTaQPHTqk7du3+1/v2LFD69evV0JCgtq2bRvEyAAAAFAvwtxSWJizciEuqIn0mjVrNGjQIP/rqVOnSpLGjh2rnJycIEUFAACA+uJ02QZLO6qRkZEhY0wwQwAAAEAgsY80AAAAYMHlcEcO1kgDAAAAP2lI+0iTSAMAACBwGtCTDUM/1QcAAEDDUbZG2slRQ8uXL9eIESPUqlUruVwuvf7663Uf/8+QSAMAACBwyvaRdnLUUFFRkXr27KlZs2bVQ+AVsbQDAAAAgeN2HzuclKuhYcOGadiwYRZB2SGRBgAAQODUcPu7wsLCcqdD6UnXLO0AAABA4JR92NDJISk5OVnx8fH+Izs7O8g38BNmpAEAABA4LpfDGeljiXR+fr7i4uL8p0NlNloikQYAAEAgOf0g4f+ViYuLK5dIhxISaQAAAAROPX7YMNBIpAEAABA4NZyRrolDhw5p+/bt/tc7duzQ+vXrlZCQoLZt29b4etUhkQYAAEDg1HDXjppYs2aNBg0a5H89depUSdLYsWOVk5NT4+tVh0QaAAAAgeNyuLTDIpHOyMiQMcYiKDsk0gAAAAicelzaEWgk0gAAAAicelzaEWgk0gAAAAicsLBjh5NyIY5EGgAAAAFjXC4ZB8s2nJQJNhJpAAAABE4Nn2wYykikAQAAEDiskQYAAABqjqUdAAAAgA1mpAEAAAAL7CMNAAAAWHA7fLKhkzJB1iASaZe3VK6jNb+VyLASq/Z2tB1UfaEqxKnIuq5LPqt67b5aat2maRRhXVeWj+j8YPAM6yZ/WP+pVb3eRR9Yt3k0PNK6rsfttaoX4T5q3eZ/W/3Kum6UjljXteV22Y17SXLLbgy6LOtJUqmxn0EJs7zXnR2GWLcZZezf01LTyKqez9j/5xjmsvuekaS0r961qrcpeYR1my6X3Viqzbi3vU/J/l43J19g3aZHpdZ1v896yKpeoim0bjO8FmPQ9meL7f//jWrRt/WJNdIAAACADdZIAwAAADVnXG4ZB0mykzLBRiINAACAwOHDhgAAAEDNGTmckRYz0gAAAMBPmJE+pqSkRPv27ZPPV/7TpG3btq1VUAAAAGigXC6HHzZsoIn0tm3b9Nvf/lYff/xxufPGGLlcLnm99lvDAAAAoOE66be/GzdunMLDw7VgwQKdcsopcp0ANwoAAIAQcLJvf7d+/XqtXbtWnTt3rut4AAAA0IAZuWTkYEbaQZlgs0qku3Tpov3799d1LAAAAGjgGtI+0lYR3nPPPfrjH/+opUuX6rvvvlNhYWG5AwAAAKhU2dIOJ0eIs5qRzszMlCQNHjy43Hk+bAgAAIDj8bnD5HOHOSoX6qwS6SVLltR1HAAAADgZnOz7SA8cOLCu4wAAAMDJwOEa6Qa7tEOSDhw4oH/84x/avHmzJKlr16767W9/q/j4+DoLDgAAAA1LQ9q1wyrVX7NmjVJTU/XQQw/p+++/1/fff68HH3xQqampWrduXV3HCAAAgAaibNcOJ0eos5qRvummm3TRRRfp6aefVnj4sUscPXpU1157raZMmaLly5fXaZAAAABoIFxyuEa63iOpNatEes2aNeWSaEkKDw/XH//4R/Xu3bvOggMAAEDDYuSWcbAowkmZYLOKMC4uTnl5eRXO5+fnKzY2ttZBAQAAoGEyLpfjI9RZJdJXXnmlrrnmGr300kvKz89Xfn6+XnzxRV177bW66qqr6jpGAAAANBAn/Rrp+++/Xy6XS2PGjNHRo0clSY0aNdL111+vu+++u04DBAAAQMPRkHbtsEqkIyIi9Mgjjyg7O1u5ubmSpNTUVEVFRdVpcAAAAGhYnM42N9gZ6TJRUVHq3r17XcUCAACABs7p+ucTYY2040R61KhRysnJUVxcnEaNGnXcsq+99lqtAwMAAEDDc1Iu7YiPj5fr/34ziIuL8/8bAAAAcOqkXNoxZ84c/79zcnLqpPHs7Gy99tpr2rJlixo3bqx+/frpnnvuUadOnerk+gAAAAgt9T0jPWvWLN13333as2ePevbsqccee0zp6elW16qOVap/3nnn6cCBAxXOFxYW6rzzznN8nWXLlikrK0srV67UokWLVFpaqvPPP19FRUU2YQEAACDEGTnc/s4iTX3ppZc0depUzZgxQ+vWrVPPnj01ZMgQ7du3rx7uxDKRXrp0qUpKSiqcP3LkiP7zn/84vs7ChQs1btw4de3aVT179lROTo7y8vK0du1am7AAAAAQ4spmpJ0cNfXggw9qwoQJGj9+vLp06aInnnhCUVFR+uc//1kPd1LDXTs2bNjg//emTZu0Z88e/2uv16uFCxeqdevW1sEUFBRIkhISEqyvAQAAgNB1bNcOJ2uka5ZIl5SUaO3atZo2bZr/nNvtVmZmplasWFHjOJ2oUSJ9+umny+VyyeVyVbqEo3HjxnrsscesAvH5fJoyZYr69++vbt26VVqmuLhYxcXF/teFhYVWbQEAACA4arpG+pf5nsfjkcfjqVB+//798nq9atmyZbnzLVu21JYtW2oRcdVqlEjv2LFDxhh16NBBn3zyiRITE/1fi4iIUIsWLRQWFmYVSFZWljZu3KgPP/ywyjLZ2dmaOXOm1fUBAAAQfD655XOwurisTHJycrnzM2bM0O23314fodVYjRLpdu3aSTo2e1yXJk2apAULFmj58uVq06ZNleWmTZumqVOn+l8XFhZW6FwAAACEMqcfJDxWJj8/X3Fxcf6zlc1GS1Lz5s0VFhamvXv3lju/d+9eJSUlWUd7PLV6suGmTZuUl5dX4YOHF110kaP6xhjdcMMNmj9/vpYuXaqUlJTjlq9qKh8AAAAnhpou7YiLiyuXSFclIiJCvXr10uLFizVy5EhJxyZ/Fy9erEmTJtUq5qpYJdJffvmlLrnkEn3++edyuVwyxkiS/yEtXq/X0XWysrI0d+5cvfHGG4qNjfV/eDE+Pl6NGze2CQ0AAAAhrD73kZ46darGjh2r3r17Kz09XQ8//LCKioo0fvx4m1CrZbX93Y033qiUlBTt27dPUVFR+uKLL7R8+XL17t1bS5cudXyd2bNnq6CgQBkZGTrllFP8x0svvWQTFgAAAEJcfW5/d+WVV+r+++/X9OnTdfrpp2v9+vVauHBhhQ8g1hWrGekVK1bogw8+UPPmzeV2u+V2u3XOOecoOztbkydP1qeffuroOmUz2QAAADg51PeTDSdNmlRvSzl+yWpG2uv1KjY2VtKxhd27du2SdOzDiFu3bq276AAAANCgGONyfIQ6qxnpbt266bPPPlNKSor69Omje++9VxEREXrqqafUoUOHuo4RAAAADUR9z0gHklUi/T//8z8qKiqSJN1xxx268MILNWDAADVr1oz1zQAAAKjSSZ9IDxkyxP/vtLQ0bdmyRd9//72aNm3q37kDAAAA+KWGlEhbrZEuKCjQ999/X+5cQkKCfvjhBx7bDQAAgCoZOVwj3VAT6dGjR+vFF1+scP7ll1/W6NGjax0UAAAAGiafXI6PUGeVSK9atUqDBg2qcD4jI0OrVq2qdVAAAABomOpzH+lAs1ojXVxcrKNHj1Y4X1paqh9//LHWQQEAAKBhcrq13Ymw/Z3VjHR6erqeeuqpCuefeOIJ9erVq9ZBAQAAoGEycjorHfqsZqTvvPNOZWZm6rPPPtPgwYMlSYsXL9bq1av13nvv1WmAAAAAaDhO+hnp/v37a8WKFWrTpo1efvllvfXWW0pLS9OGDRs0YMCAuo4RAAAADcRJv0Zakk4//XTNnTu3LmMBAABAA9eQZqStE2mv16vXX39dmzdvliR17dpVF110kcLCwuosOAAAADQsRpLPYblQZ5VIb9++XcOHD9fXX3+tTp06SZKys7OVnJysf//730pNTa3TIAEAANAwNKQZaas10pMnT1aHDh2Un5+vdevWad26dcrLy1NKSoomT55c1zECAACggfAZt+Mj1FnNSC9btkwrV65UQkKC/1yzZs109913q3///nUWHAAAABoWpx8kbLAfNvR4PDp48GCF84cOHVJEREStgwIAAEDD5DPHDiflQp3VnPmFF16o6667TqtWrZIxRsYYrVy5Ur///e910UUX1XWMAAAAaCAa0vZ3Von0o48+qtTUVPXt21eRkZGKjIxUv379lJaWpocffriOQwQAAEBDUfZhQydHqLNa2tGkSRO98cYb2r59u3/7u9NOO01paWl1GhwAAAAaFmOOHU7KhTrHifTUqVOP+/UlS5b4//3ggw/aRwQAAIAGyyeXfA6WbTgpE2yOE+lPP/3UUTmXK/RvGgAAAMHRkPaRdpxI/3zGGQAAALBxUi7tAAAAAGrrpN9HOtR8lTpUMbGxNa9o+ZtObdbs1OYZPUZhdvXCG1m3+UXL863rdt3zrlW9hA1rrNvsVrTMql7p+wus21w9/BHrutEqsarXac9i6za3JGVa1+285/2At1mbP+0dtfyOc7t81m3W5klcXssfSmm5/7ZuU43s9/7f1Ga4VT1TiyWAaXmLrOtubXuBXcVazIrZjt/a9NF/2w2zrivLoV+b71Ofy/57JnWH3f8zW9vZjV3J/vtUksIsf7bY/v/vs6xX3xrSPtINIpEGAADACcLp1nYNaY00AAAAUFuskQYAAAAsnJTb3wEAAAC1xYw0AAAAYOGk3EcaAAAAqC127QAAAAAssLQDAAAAsMADWQAAAAALXiN5HTybxsuMNAAAAPATlnYAAAAAFnzGJZ+DHTmclAk2+wfcAwAAADVUNiPt5KhPd911l/r166eoqCg1adLE6hok0gAAAAiYUEmkS0pKdPnll+v666+3vgZLOwAAABAwxuE+0vWdSM+cOVOSlJOTY30NEmkAAAAEDE82BAAAACzUdNeOwsLCcuc9Ho88Hk89RFZzrJEGAABAwJQ9ItzJIUnJycmKj4/3H9nZ2VVe+7bbbpPL5TrusWXLljq7F2akAQAAEDA1nZHOz89XXFyc//zxZqP/8Ic/aNy4cce9bocOHZyE6QiJNAAAAAKmpol0XFxcuUT6eBITE5WYmFiL6GqGRBoAAAAB43O4a4eTMrWRl5en77//Xnl5efJ6vVq/fr0kKS0tTTExMY6uQSINAACAgAmVR4RPnz5dzz77rP/1GWecIUlasmSJMjIyHF2DDxsCAAAgYHw+50d9ysnJkTGmwuE0iZaYkQYAAEAAhcqMdF0gkQYAAEDAkEgDAAAAFnxy+GHDeo+k9oK6Rnr27Nnq0aOHf1uTvn376p133glmSAAAAKhHla1LruoIdUFNpNu0aaO7775ba9eu1Zo1a3Teeefp4osv1hdffBHMsAAAAFBPypZ2ODlCXVCXdowYMaLc67vuukuzZ8/WypUr1bVr1yBFBQAAgPpiHO7IYU6AtR0hs0ba6/XqlVdeUVFRkfr27VtpmeLiYhUXF/tfFxYWBio8AAAA1AGv79jhpFyoC/o+0p9//rliYmLk8Xj0+9//XvPnz1eXLl0qLZudna34+Hj/kZycHOBoAQAAUBsNaWlH0BPpTp06af369Vq1apWuv/56jR07Vps2baq07LRp01RQUOA/8vPzAxwtAAAAasP4jOMj1AV9aUdERITS0tIkSb169dLq1av1yCOP6Mknn6xQ1uPxyOPxBDpEAAAA1BGfcbj9Xejn0cFPpH/J5/OVWwcNAACAhoMHstSRadOmadiwYWrbtq0OHjyouXPnaunSpXr33XeDGRYAAADqic9n5HMw3eykTLAFNZHet2+fxowZo927dys+Pl49evTQu+++q1/96lfBDAsAAAD1hBnpOvKPf/wjmM0DAAAgwEikAQAAAAs+Y+RzkCU7KRNsJNIAAAAIGONz9tRCnmwIAAAA/IyRkXEw22zEjDQAAADgZ3ySjxlpAAAAoGaMcTgjzRppAAAA4Cc82RAAAACwYHxGxkGW7KRMsJFIAwAAIGDYRxoAAACwwCPCAQAAAAt82BAAAACwwANZAAAAAAten09eBxtJOykTbCTSAAAACBjWSAMAAAAW2LUDAAAAsGCMw32kT4BMmkQaAAAAAWOMkY9dOwAAAICa4cmGAAAAgAUSaQAAAMCCzxw7nJQLdSTSAAAACBhmpAEAAAALPCIcAAAAsODzOXvYygnwYEMSaQAAAAROQ5qRdgc7AAAAAJw8ytZIOznqy86dO3XNNdcoJSVFjRs3VmpqqmbMmKGSkpIaXadBzEiXqJFKTKMa1zvqs7t9t8v+bw0u2Q+KTl+/Z1VvQ6vh1m16vWHWdX2NIq3qHfHaD0uvZZthje3qSdKRo/Z91CjM7l43JA61brP7t4ut69q266rND8Na/Lpv+/12av771m1+3uoC67rhbrub3drhIus2T9271Lpuxx8+sqr3Rfy51m1ubHOhdd0u++zGvi/cY93m53EZVvVO27vIuk3jrsXP7Vrcq63ajIdNbe3Gvtfnsm6zkdu+rjfAM6w2uVEghMKHDbds2SKfz6cnn3xSaWlp2rhxoyZMmKCioiLdf//9jq/TIBJpAAAAnBh8cvZkQ18tJh+rM3ToUA0d+tPkUIcOHbR161bNnj2bRBoAAAChqaYz0oWFheXOezweeTx1/9eTgoICJSQk1KgOa6QBAAAQMGUfNnRySFJycrLi4+P9R3Z2dp3HtH37dj322GP63e9+V6N6zEgDAAAgYIzPONr+rmxGOj8/X3Fxcf7zx5uNvu2223TPPfcc97qbN29W586d/a+/+eYbDR06VJdffrkmTJhQbVw/RyINAACAgKnp0o64uLhyifTx/OEPf9C4ceOOW6ZDhw7+f+/atUuDBg1Sv3799NRTTzlq4+dIpAEAABAw9bmPdGJiohITEx2V/eabbzRo0CD16tVLc+bMkdti5yQSaQAAAASM96hX7jCvo3L15ZtvvlFGRobatWun+++/X99++63/a0lJSY6vQyINAACAgAmFJxsuWrRI27dv1/bt29WmTRvrdtm1AwAAAAETCk82HDdu3HF3CnGKGWkAAAAETCg82bCukEgDAAAgYHzyyWd8jsqFOhJpAAAABIzxOZttdpBrBx2JNAAAAAKGpR0AAACAhVDYtaOukEgDAAAgYHw+n3w+B2ukHZQJNhJpAAAABAxLOwAAAAALxvhkHHyS0EmZYCORBgAAQMAwIw0AAADYcPrUQhJpAAAA4Cc+4/CBLCztAAAAAH7C0g4AAADAgjE+GQdb2/FhQwAAAOBnmJEGAAAALLD9HQAAAGDB55N8DmabT4AHG8od7ADK3H333XK5XJoyZUqwQwEAAEA98R31Oj5CXUjMSK9evVpPPvmkevToEexQAAAAUI8a0tKOoM9IHzp0SL/+9a/19NNPq2nTpsEOBwAAAPWo7MOGTo5QF/REOisrS8OHD1dmZma1ZYuLi1VYWFjuAAAAwInjaMlBlRZXfxwtORjsUKsV1KUdL774otatW6fVq1c7Kp+dna2ZM2fWc1QAAACoaxEREUpKStKaxVc4rpOUlKSIiIh6jKp2gpZI5+fn68Ybb9SiRYsUGRnpqM60adM0depU/+vCwkIlJyfXV4gAAACoI5GRkdqxY4dKSkoc14mIiHCcJwZD0BLptWvXat++fTrzzDP957xer5YvX67HH39cxcXFCgsLK1fH4/HI4/EEOlQAAADUgcjIyJBOjGsqaIn04MGD9fnnn5c7N378eHXu3Fm33nprhSQaAAAACCVBS6RjY2PVrVu3cueio6PVrFmzCucBAACAUBP0XTsAAACAE1FIPJClzNKlS4MdAgAAAOAIM9IAAACABRJpAAAAwAKJNAAAAGCBRBoAAACwQCINAAAAWCCRBgAAACyQSAMAAAAWSKQBAAAACyTSAAAAgAUSaQAAAMACiTQAAABggUQaAAAAsEAiDQAAAFggkQYAAAAskEgDAAAAFkikAQAAAAsk0gAAAIAFEmkAAADAAok0AAAAYIFEGgAAALBAIg0AAABYIJEGAAAALJBIAwAAABbCgx1AbRhjJElFhw5a1T/qC7Oq53YZq3qS5JJ93cKiw1b1ig4VWrfptewjqRbxuuzjLfQWWdVzHym2bvNwLfrXXVpqVc+El1i3afu+SFJRhN29umrxPRPu9lnXtf1+q00fHarFeAh328Xrln0f1eZefY3s2i0Kq8X3TC3Gg+29+sK91m0Wue3utTbvi3Hb/9yuzb3aqs14CHfbxes1Lus2GwXhZ5KtsvyoLF9C3XOZE7h3v/76ayUnJwc7DAAAgJCVn5+vNm3aBDuMBumETqR9Pp927dql2NhYuVzlf7ssLCxUcnKy8vPzFRcXF6QIQx/9VD36qHr0UfXoo+rRR87QT9Wjj44xxujgwYNq1aqV3G5W89aHE3pph9vtrvY3rLi4uJP6m8gp+ql69FH16KPq0UfVo4+coZ+qRx9J8fHxwQ6hQePXEwAAAMACiTQAAABgocEm0h6PRzNmzJDH4wl2KCGNfqoefVQ9+qh69FH16CNn6Kfq0UcIlBP6w4YAAABAsDTYGWkAAACgPpFIAwAAABZIpAEAAAALDTaRnjVrltq3b6/IyEj16dNHn3zySbBDChm33367XC5XuaNz587BDivoli9frhEjRqhVq1ZyuVx6/fXXy33dGKPp06frlFNOUePGjZWZmalt27YFJ9ggqa6Pxo0bV2FsDR06NDjBBkF2drbOOussxcbGqkWLFho5cqS2bt1arsyRI0eUlZWlZs2aKSYmRpdeeqn27t0bpIiDw0k/ZWRkVBhLv//974MUceDNnj1bPXr08O+D3LdvX73zzjv+rzOOqu+jk30MITAaZCL90ksvaerUqZoxY4bWrVunnj17asiQIdq3b1+wQwsZXbt21e7du/3Hhx9+GOyQgq6oqEg9e/bUrFmzKv36vffeq0cffVRPPPGEVq1apejoaA0ZMkRHjhwJcKTBU10fSdLQoUPLja0XXnghgBEG17Jly5SVlaWVK1dq0aJFKi0t1fnnn6+ioiJ/mZtuuklvvfWWXnnlFS1btky7du3SqFGjghh14DnpJ0maMGFCubF07733BiniwGvTpo3uvvturV27VmvWrNF5552niy++WF988YUkxpFUfR9JJ/cYQoCYBig9Pd1kZWX5X3u9XtOqVSuTnZ0dxKhCx4wZM0zPnj2DHUZIk2Tmz5/vf+3z+UxSUpK57777/OcOHDhgPB6PeeGFF4IQYfD9so+MMWbs2LHm4osvDko8oWjfvn1Gklm2bJkx5tiYadSokXnllVf8ZTZv3mwkmRUrVgQrzKD7ZT8ZY8zAgQPNjTfeGLygQlDTpk3NM888wzg6jrI+MoYxhMBocDPSJSUlWrt2rTIzM/3n3G63MjMztWLFiiBGFlq2bdumVq1aqUOHDvr1r3+tvLy8YIcU0nbs2KE9e/aUG1fx8fHq06cP4+oXli5dqhYtWqhTp066/vrr9d133wU7pKApKCiQJCUkJEiS1q5dq9LS0nLjqHPnzmrbtu1JPY5+2U9lnn/+eTVv3lzdunXTtGnTdPjw4WCEF3Rer1cvvviiioqK1LdvX8ZRJX7ZR2UYQ6hv4cEOoK7t379fXq9XLVu2LHe+ZcuW2rJlS5CiCi19+vRRTk6OOnXqpN27d2vmzJkaMGCANm7cqNjY2GCHF5L27NkjSZWOq7Kv4diyjlGjRiklJUW5ubn605/+pGHDhmnFihUKCwsLdngB5fP5NGXKFPXv31/dunWTdGwcRUREqEmTJuXKnszjqLJ+kqSrr75a7dq1U6tWrbRhwwbdeuut2rp1q1577bUgRhtYn3/+ufr27asjR44oJiZG8+fPV5cuXbR+/XrG0f+pqo8kxhACo8El0qjesGHD/P/u0aOH+vTpo3bt2unll1/WNddcE8TIcKIbPXq0/9/du3dXjx49lJqaqqVLl2rw4MFBjCzwsrKytHHjRj5/UI2q+um6667z/7t79+465ZRTNHjwYOXm5io1NTXQYQZFp06dtH79ehUUFGjevHkaO3asli1bFuywQkpVfdSlSxfGEAKiwS3taN68ucLCwip8ennv3r1KSkoKUlShrUmTJurYsaO2b98e7FBCVtnYYVzVTIcOHdS8efOTbmxNmjRJCxYs0JIlS9SmTRv/+aSkJJWUlOjAgQPlyp+s46iqfqpMnz59JOmkGksRERFKS0tTr169lJ2drZ49e+qRRx5hHP1MVX1UmZNxDKH+NbhEOiIiQr169dLixYv953w+nxYvXlxu3RR+cujQIeXm5uqUU04JdighKyUlRUlJSeXGVWFhoVatWsW4Oo6vv/5a33333UkztowxmjRpkubPn68PPvhAKSkp5b7eq1cvNWrUqNw42rp1q/Ly8k6qcVRdP1Vm/fr1knTSjKXK+Hw+FRcXM46Oo6yPKsMYQn1okEs7pk6dqrFjx6p3795KT0/Xww8/rKKiIo0fPz7YoYWEm2++WSNGjFC7du20a9cuzZgxQ2FhYbrqqquCHVpQHTp0qNxMxY4dO7R+/XolJCSobdu2mjJliu68806deuqpSklJ0V/+8he1atVKI0eODF7QAXa8PkpISNDMmTN16aWXKikpSbm5ufrjH/+otLQ0DRkyJIhRB05WVpbmzp2rN954Q7Gxsf71qvHx8WrcuLHi4+N1zTXXaOrUqUpISFBcXJxuuOEG9e3bV2effXaQow+c6vopNzdXc+fO1QUXXKBmzZppw4YNuummm3TuueeqR48eQY4+MKZNm6Zhw4apbdu2OnjwoObOnaulS5fq3XffZRz9n+P1EWMIARPsbUPqy2OPPWbatm1rIiIiTHp6ulm5cmWwQwoZV155pTnllFNMRESEad26tbnyyivN9u3bgx1W0C1ZssRIqnCMHTvWGHNsC7y//OUvpmXLlsbj8ZjBgwebrVu3BjfoADteHx0+fNicf/75JjEx0TRq1Mi0a9fOTJgwwezZsyfYYQdMZX0jycyZM8df5scffzQTJ040TZs2NVFRUeaSSy4xu3fvDl7QQVBdP+Xl5Zlzzz3XJCQkGI/HY9LS0swtt9xiCgoKght4AP32t7817dq1MxERESYxMdEMHjzYvPfee/6vM46O30eMIQSKyxhjApm4AwAAAA1Bg1sjDQAAAAQCiTQAAABggUQaAAAAsEAiDQAAAFggkQYAAAAskEgDAAAAFkikAQAAAAsk0gAAAIAFEmkADd7SpUvlcrl04MCBYIcCAGhASKQBNCgZGRmaMmVKuXP9+vXT7t27FR8fH5ygqtC+fXs9/PDDwQ4DAGApPNgBAEB9i4iIUFJSUrDDAAA0MMxIA2gwxo0bp2XLlumRRx6Ry+WSy+XSzp07KyztyMnJUZMmTbRgwQJ16tRJUVFRuuyyy3T48GE9++yzat++vZo2barJkyfL6/X6r19cXKybb75ZrVu3VnR0tPr06aOlS5dWGY8xRrfffrvatm0rj8ejVq1aafLkyZKOzZx/9dVXuummm/yxlvnwww81YMAANW7cWMnJyZo8ebKKior8X2/fvr3++te/6qqrrlJ0dLRat26tWbNm1W1nAgCqRSINoMF45JFH1LdvX02YMEG7d+/W7t27lZycXGnZw4cP69FHH9WLL76ohQsXaunSpbrkkkv09ttv6+2339Zzzz2nJ598UvPmzfPXmTRpklasWKEXX3xRGzZs0OWXX66hQ4dq27Ztlbbx6quv6qGHHtKTTz6pbdu26fXXX1f37t0lSa+99pratGmjO+64wx+rJOXm5mro0KG69NJLtWHDBr300kv68MMPNWnSpHLXvu+++9SzZ099+umnuu2223TjjTdq0aJFddGNAACHWNoBoMGIj49XRESEoqKiql3KUVpaqtmzZys1NVWSdNlll+m5557T3r17FRMToy5dumjQoEFasmSJrrzySuXl5WnOnDnKy8tTq1atJEk333yzFi5cqDlz5uhvf/tbhTby8vKUlJSkzMxMNWrUSG3btlV6erokKSEhQWFhYYqNjS0Xa3Z2tn7961/713mfeuqpevTRRzVw4EDNnj1bkZGRkqT+/fvrtttukyR17NhRH330kR566CH96le/ql0nAgAcY0YawEkpKirKn0RLUsuWLdW+fXvFxMSUO7dv3z5J0ueffy6v16uOHTsqJibGfyxbtky5ubmVtnH55Zfrxx9/VIcOHTRhwgTNnz9fR48ePW5cn332mXJycsq1MWTIEPl8Pu3YscNfrm/fvuXq9e3bV5s3b65xPwAA7DEjDeCk1KhRo3KvXS5Xped8Pp8k6dChQwoLC9PatWsVFhZWrtzPk++fS05O1tatW/X+++9r0aJFmjhxou677z4tW7asQltlDh06pN/97nf+tdQ/17ZtW8f3BwCofyTSABqUiIiIch8QrCtnnHGGvF6v9u3bpwEDBjiu17hxY40YMUIjRoxQVlaWOnfurM8//1xnnnlmpbGeeeaZ2rRpk9LS0o573ZUrV1Z4fdpppzm/IQBArZFIA2hQ2rdvr1WrVmnnzp2KiYlRQkJCnVy3Y8eO+vWvf60xY8bogQce0BlnnKFvv/1WixcvVo8ePTR8+PAKdXJycuT1etWnTx9FRUXpX//6lxo3bqx27dr5Y12+fLlGjx4tj8ej5s2b69Zbb9XZZ5+tSZMm6dprr1V0dLQ2bdqkRYsW6fHHH/df+6OPPtK9996rkSNHatGiRXrllVf073//u07uFQDgDGukATQoN998s8LCwtSlSxclJiYqLy+vzq49Z84cjRkzRn/4wx/UqVMnjRw5UqtXr65yyUWTJk309NNPq3///urRo4fef/99vfXWW2rWrJkk6Y477tDOnTuVmpqqxMRESVKPHj20bNky/fe//9WAAQN0xhlnaPr06f4POJb5wx/+oDVr1uiMM87QnXfeqQcffFBDhgyps3sFAFTPZYwxwQ4CAOBc+/btNWXKlApPcAQABBYz0gAAAIAFEmkAAADAAks7AAAAAAvMSAMAAAAWSKQBAAAACyTSAAAAgAUSaQAAAMACiTQAAABggUQaAAAAsEAiDQAAAFggkQYAAAAskEgDAAAAFv4/SX+GoeycGtoAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "train_loglik = road_loglik(\n", " travel_time_s=travel_time_s,\n", " mu=mu_hat,\n", " alpha=alpha_hat,\n", " beta=beta_hat,\n", " kernel=kernel_hat,\n", " y=y_train,\n", " family=\"poisson\",\n", ")\n", "\n", "# Poisson log-likelihood per event/time step for interpretability.\n", "ll_per_step = train_loglik / max(n_locations * n_steps_train, 1)\n", "\n", "residual = y_train - intensity_hat\n", "\n", "print(f\"Train log-likelihood: {train_loglik:.2f}\")\n", "print(f\"Log-likelihood per step: {ll_per_step:.4f}\")\n", "\n", "fig, ax = plt.subplots(figsize=(8, 4))\n", "\n", "im = ax.imshow(\n", " residual,\n", " aspect=\"auto\",\n", " cmap=\"coolwarm\",\n", " vmin=-np.max(np.abs(residual)),\n", " vmax=np.max(np.abs(residual)),\n", ")\n", "ax.set_title(\"Residuals: counts - intensity (train)\")\n", "ax.set_ylabel(\"location\")\n", "ax.set_xlabel(\"time step\")\n", "fig.colorbar(im, ax=ax, shrink=0.8)\n", "\n", "plt.tight_layout()\n" ] }, { "cell_type": "markdown", "id": "0648ebf6", "metadata": {}, "source": [ "## 8. Forecast the future and evaluate accuracy\n", "\n", "We forecast the next `horizon` steps deterministically, then sample Poisson paths\n", "around those mean intensities to build predictive intervals.\n" ] }, { "cell_type": "code", "execution_count": 14, "id": "fab5e059", "metadata": { "execution": { "iopub.execute_input": "2026-02-17T05:54:08.617554Z", "iopub.status.busy": "2026-02-17T05:54:08.617412Z", "iopub.status.idle": "2026-02-17T05:54:08.697401Z", "shell.execute_reply": "2026-02-17T05:54:08.696929Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "y_paths shape: (300, 5, 10)\n", "y_mean shape: (5, 10)\n", "y_q shape: (3, 5, 10)\n" ] } ], "source": [ "n_paths = 300\n", "\n", "lam_forecast = forecast_intensity_horizon(\n", " travel_time_s=travel_time_s,\n", " mu=mu_hat,\n", " alpha=alpha_hat,\n", " beta=beta_hat,\n", " kernel=kernel_hat,\n", " y_history=y_train,\n", " horizon=horizon,\n", ")\n", "\n", "# Keep sampling numerically stable for tutorial execution.\n", "lam_safe = np.nan_to_num(lam_forecast, nan=0.0, posinf=1e6, neginf=0.0)\n", "lam_safe = np.clip(lam_safe, 0.0, 1e6)\n", "\n", "rng_paths = np.random.default_rng(seed + 2)\n", "y_paths = rng_paths.poisson(\n", " lam=lam_safe[None, :, :],\n", " size=(n_paths,) + lam_forecast.shape,\n", ").astype(float)\n", "\n", "y_mean = y_paths.mean(axis=0)\n", "y_q = np.quantile(y_paths, [0.1, 0.5, 0.9], axis=0)\n", "\n", "print(\"lam_forecast shape:\", lam_forecast.shape)\n", "print(\"lam_safe max:\", float(lam_safe.max()))\n", "print(\"y_paths shape:\", y_paths.shape)\n", "print(\"y_mean shape:\", y_mean.shape)\n", "print(\"y_q shape:\", y_q.shape)\n" ] }, { "cell_type": "code", "execution_count": 15, "id": "2f82b73c", "metadata": { "execution": { "iopub.execute_input": "2026-02-17T05:54:08.699477Z", "iopub.status.busy": "2026-02-17T05:54:08.699260Z", "iopub.status.idle": "2026-02-17T05:54:09.252873Z", "shell.execute_reply": "2026-02-17T05:54:09.252429Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(n_locations, 1, figsize=(10, 2.5 * n_locations), sharex=True)\n", "\n", "for i, ax in enumerate(axes):\n", " ax.plot(y_test[i], color=\"black\", label=\"true\")\n", " ax.plot(y_mean[i], color=\"tab:blue\", label=\"mean\")\n", " ax.fill_between(\n", " np.arange(horizon),\n", " y_q[0, i],\n", " y_q[2, i],\n", " color=\"tab:blue\",\n", " alpha=0.2,\n", " label=\"10-90%\",\n", " )\n", " ax.set_title(f\"Forecast vs. truth (location {i})\")\n", " ax.set_ylabel(\"count\")\n", "\n", "axes[-1].set_xlabel(\"forecast step\")\n", "axes[0].legend(loc=\"upper right\")\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 16, "id": "6e43e1f1", "metadata": { "execution": { "iopub.execute_input": "2026-02-17T05:54:09.255181Z", "iopub.status.busy": "2026-02-17T05:54:09.255003Z", "iopub.status.idle": "2026-02-17T05:54:09.258656Z", "shell.execute_reply": "2026-02-17T05:54:09.258207Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RMSE: 0.618\n", "MAE: 0.442\n", "80% interval coverage: 0.960\n" ] } ], "source": [ "rmse = float(np.sqrt(np.mean((y_test - y_mean) ** 2)))\n", "mae = float(np.mean(np.abs(y_test - y_mean)))\n", "\n", "coverage = float(np.mean((y_test >= y_q[0]) & (y_test <= y_q[2])))\n", "\n", "print(f\"RMSE: {rmse:.3f}\")\n", "print(f\"MAE: {mae:.3f}\")\n", "print(f\"80% interval coverage: {coverage:.3f}\")" ] } ], "metadata": { "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "python", "version": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 5 }