{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# EBM1DLat — Diffusive Latitudinal Energy Balance Model\n", "\n", "**Author:** Jordan Landers \n", "**Date:** last-modified\n", "\n", "_Description:_ Latitudinal grid, meridional heat diffusion, ice-line dynamics, zonal-mean temperature profiles, CO₂ forcing, Budyko OLR, `set_function`, Mid-Pleistocene Transition scenarios\n", "\n", "_Abstract_\n", "\n", "> `EBM1DLat` extends `EBM0D` to a one-dimensional latitudinal grid, resolving zonal-mean temperature as a function of latitude via meridional heat diffusion. This notebook covers ice-line dynamics, multi-axis latitude profiles, CO₂ forcing effects, custom albedo via `set_function`, and how time-varying diffusion coefficients can represent Mid-Pleistocene Transition scenarios.\n", "\n", "**Keywords:** EBM1DLat, latitudinal EBM, diffusion, ice-line, zonal-mean, CO2 forcing, Budyko OLR, meridional heat transport, grid discretization, set_function" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Overview\n", "\n", "`EBM1DLat` resolves a zonal-mean temperature profile T(φ) across a latitude grid, evolving each grid point under absorbed solar radiation, a linear (Budyko) OLR, and meridional heat diffusion:\n", "\n", "$$\n", "C \\frac{\\partial T}{\\partial t} = S(x)(1 - \\alpha(T)) - \\bigl[(A - F_{\\mathrm{CO_2}}) + B\\,T\\bigr] + D\\,\\nabla^2 T\n", "$$\n", "\n", "where $x = \\sin\\varphi$. Temperature is in **°C** throughout.\n", "\n", "### Key differences from `EBM0D`\n", "\n", "| | `EBM0D` | `EBM1DLat` |\n", "|--|---------|------------|\n", "| State | scalar T (K) | array T(φ) (°C) |\n", "| OLR | Stefan-Boltzmann (swappable via `param_values`) | Budyko linear: $(A - F_{\\mathrm{CO_2}}) + B\\,T$ (override by subclassing) |\n", "| Albedo | swappable via `param_values['albedo']` | array ice-line step function (override `calc_albedo` by subclassing or `set_function`) |\n", "| Solar input | `S0` parameter + `register_forcing` | `S0` parameter + `register_forcing` |\n", "| Diagnostics | accumulated step-by-step in `dydt` | derived from full trajectory after solve (`uses_post_history = True`) |\n", "\n", "### Parameters\n", "\n", "| Name | Description | Default |\n", "|------|-------------|---------|\n", "| `S0` | Solar constant (W m⁻²) | 1365.0 |\n", "| `C` | Heat capacity (W yr m⁻² K⁻¹) | 10.0 |\n", "| `D` | Meridional diffusion coefficient | 0.55 |\n", "| `A` | Budyko OLR intercept (W m⁻²) | 210.0 |\n", "| `B` | Budyko OLR slope (W m⁻² °C⁻¹) | 2.0 |\n", "| `CO2_forcing` | Radiative forcing from CO₂ (W m⁻²); subtracts from `A`, warming the climate | 0.0 |\n", "| `grid_n` | Number of latitude grid points from −90° to 90° (≥ 3) | 50 |\n", "\n", "All parameters are in `param_values` and accept a `float`, callable, or `cc.Forcing`.\n", "\n", "### Albedo scheme\n", "\n", "The built-in `calc_albedo` applies a linear transition at each grid point:\n", "\n", "- T < −10 °C → α = 0.6 (ice-covered)\n", "- T > 0 °C → α = 0.3 (ice-free)\n", "- linear blend in between\n", "\n", "To replace this scheme, use `set_function('calc_albedo', ...)` on a single instance (see below), or subclass `EBM1DLat` and override `calc_albedo(self, T, t)`. The module also provides `albedo_func1D` — a Legendre polynomial variant — as a ready-made alternative.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Basic run\n", "\n", "The initial condition `y0` can be a **scalar** (broadcast to all grid points) or an array of length `grid_n`. The model has **two stable equilibria** depending on initial conditions: a warm state and a snowball state. Starting from 15 °C gives the warm branch.\n", "\n", "A note on `D`: the default `D=0.55` transports enough heat poleward that polar temperatures settle just above −10 °C from a warm start, leaving the model technically ice-free. Using `D=0.35` gives a realistic mid-latitude ice line (~52°) from the same warm start." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import climatecritters as cc\n", "from climatecritters.model_critters.ebm import EBM1DLat\n", "\n", "model = EBM1DLat(S0=1365.0, grid_n=50, D=0.35)\n", "output = model.integrate(t_span=(0, 2000), y0=[15.0], method='RK45')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "State variables are named `T_0` through `T_{grid_n-1}`. The latitude grid is on `model.phi`." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Equilibrium Tglobal: 5.07 °C\n", "Equilibrium ice line: 52.3°\n" ] } ], "source": [ "grid_n = model.grid_n\n", "phi = model.phi # degrees, shape (grid_n,)\n", "\n", "T_final = np.array([output.state_variables[f'T_{i}'][-1] for i in range(grid_n)])\n", "albedo_final = model.calc_albedo(T_final, t=output.time[-1])\n", "olr_final = model.calc_OLR(T_final, t=output.time[-1])\n", "Tglobal = output.diagnostic_variables['Tglobal']\n", "ice_line = output.diagnostic_variables['ice_line_lat']\n", "time = output.time\n", "\n", "print(f\"Equilibrium Tglobal: {Tglobal[-1]:.2f} °C\")\n", "print(f\"Equilibrium ice line: {ice_line[-1]:.1f}°\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Latitude profile: T, albedo, and OLR" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax1 = plt.subplots(figsize=(15, 5))\n", "\n", "# Temperature — left axis\n", "ax1.plot(phi, T_final, color='firebrick', lw=2, label='T (°C)')\n", "ax1.axhline(-10, color='royalblue', ls=':', lw=1, label='albedo threshold (ice)')\n", "ax1.axhline( 0, color='lightblue', ls=':', lw=1, label='albedo threshold (no ice)')\n", "ax1.set_xlabel('latitude (°)')\n", "ax1.set_ylabel('T (°C)', color='firebrick')\n", "ax1.tick_params(axis='y', labelcolor='firebrick')\n", "ax1.axvline(ice_line[-1], color='royalblue', ls='--', lw=1, label=f'ice line ({ice_line[-1]:.0f}°)')\n", "ax1.axvline(-ice_line[-1], color='royalblue', ls='--', lw=1, label='')\n", "\n", "# Albedo — right axis 1\n", "ax2 = ax1.twinx()\n", "ax2.plot(phi, albedo_final, color='steelblue', lw=1.5, ls='--', label='albedo')\n", "ax2.set_ylabel('albedo', color='steelblue')\n", "ax2.tick_params(axis='y', labelcolor='steelblue')\n", "ax2.set_ylim(0.25, 0.65)\n", "\n", "# OLR — right axis 2 (offset)\n", "ax3 = ax1.twinx()\n", "ax3.spines['right'].set_position(('outward', 60))\n", "ax3.plot(phi, olr_final, color='darkorange', lw=1.5, ls='-.', label='OLR (W m⁻²)')\n", "ax3.set_ylabel('OLR (W m⁻²)', color='darkorange')\n", "ax3.tick_params(axis='y', labelcolor='darkorange')\n", "\n", "# Combined legend\n", "lines, labels = [], []\n", "for l in (ax1.get_lines() + ax2.get_lines() + ax3.get_lines()):\n", " label = l.get_label()\n", " if 'child' not in l.get_label():\n", " lines.append(l)\n", " labels.append(label)\n", "\n", "ax1.legend(lines, labels, loc='upper left', fontsize=9, bbox_to_anchor = (1.15,1))\n", "\n", "ax1.set_title('Equilibrium latitude profile: D=0.35, warm start')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Figure.** Equilibrium zonal-mean temperature profile (left axis, red) with albedo and OLR overlaid. Temperature decreases poleward; the ice line (dashed vertical) marks the latitude where T crosses the freezing threshold. Albedo jumps from ~0.3 (ice-free) to ~0.6 (ice-covered) at the ice line. OLR mirrors the temperature pattern — lower in the cold polar regions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Time series of global diagnostics" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(2, 1, figsize=(8, 5), sharex=True)\n", "axes[0].plot(time, Tglobal, color='firebrick')\n", "axes[0].set_ylabel('T_global (°C)'); axes[0].set_title('Global mean temperature')\n", "\n", "axes[1].plot(time, ice_line, color='royalblue')\n", "axes[1].set_ylabel('latitude (°)'); axes[1].set_xlabel('time')\n", "axes[1].set_title('Ice-line latitude')\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Figure.** Top: global mean temperature relaxes to equilibrium from the uniform 15 °C start. Bottom: ice-line latitude contracts poleward from the Equator as the model warms. The ice line stabilises once the temperature gradient is in balance with the diffusion — a partial ice cover is the model's stable attractor for these parameters." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Changing the albedo function\n", "\n", "Use `set_function('calc_albedo', fn)` to replace the albedo scheme on a single instance without subclassing. The replacement must have signature `(self, T, t)` (bound method) or `(T, t)` (unbound); the `bind` parameter is inferred from whether the first argument is named `self` or `model`.\n", "\n", "Here a sharper transition that switches fully to ice-covered below −5 °C and fully ice-free above 5 °C. With `D=0.35` this produces a stronger ice-albedo feedback — the model collapses to a snowball state, with no stable partial ice line. This is physically meaningful: tighter albedo transitions reduce the range of stable partial-ice states." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Default albedo: ice line = 52°\n", "Sharper albedo: ice line = 0° (snowball)\n" ] } ], "source": [ "def sharper_albedo(self, T, t):\n", " \"\"\"Sharper ice-line: transition between −5 °C and +5 °C.\"\"\"\n", " temperature = np.asarray(T, dtype=float)\n", " albedo = np.empty_like(temperature)\n", " cold = temperature < -5.0\n", " warm = temperature > 5.0\n", " transition = (~cold) & (~warm)\n", " albedo[cold] = 0.6\n", " albedo[warm] = 0.3\n", " albedo[transition] = 0.6 - 0.3 * ((temperature[transition] + 5.0) / 10.0)\n", " return albedo\n", "\n", "model_sharp = EBM1DLat(S0=1365.0, grid_n=50, D=0.35)\n", "model_sharp.set_function('calc_albedo', sharper_albedo)\n", "out_sharp = model_sharp.integrate(t_span=(0, 2000), y0=[15.0], method='RK45')\n", "\n", "T_sharp = np.array([out_sharp.state_variables[f'T_{i}'][-1] for i in range(grid_n)])\n", "alb_sharp = model_sharp.calc_albedo(T_sharp, t=out_sharp.time[-1])\n", "il_sharp = out_sharp.diagnostic_variables['ice_line_lat'][-1]\n", "print(f\"Default albedo: ice line = {ice_line[-1]:.0f}°\")\n", "print(f\"Sharper albedo: ice line = {il_sharp:.0f}° (snowball)\")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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5HDweD6dOnSr1NapM3Y2KxFbR92NVk8vlaNGiBVatWlXq82933hFCCFGd8+fP49WrV9i7dy/27t1b4vndu3dXqBPkbW8fm6rrGPghqeK4WnSO8uWXX8LPz6/UNjSUMaktqBOEaKyGDRsiICAAWVlZCgfEsLCwEm1NTExKvcWiKnreiyvKRijCGENERESliloVV5S1ULxyOFD1cSuj7Edz48aNARSmgvr6+n6QWMp7basiptTUVAQEBGDx4sVYsGCB0m0Dyl+bqvg/a9y4MRhjsLOz464yvYvw8HCFq1ERERGQy+UlRkR6m7m5OXR1dUv9LIWGhoLP51dJB0Xjxo1x7949dO3aVenrSQghpGbYvXs3LCwssH79+hLPHTp0CIcPH4a/v3+5HQDlHZsqegwsGp0sPDycu40SAAoKChAZGQlXV1eFtvfv34dcLlfIBgkNDVVYV1mKMi2KH6+ePn0KAOUeV4vWHxYWppClIpFIEBkZWSXnUkXr1dLS+mDnZoTUVFQThGisXr16QSqV4vfff+fmyWQy/PbbbyXaNm7cGKGhoQojd9y7d6/E0Knva+fOncjMzOT+PnDgAF69eoWePXu+0/qKfthfunSJmyeTyfDHH3+8X6AVVDSu/ds/6D08PNC4cWP88ssvyMrKKrHcu4yQUp7yXtuqiKnoitPbmShr1qwp0VbZa2NoaAgzMzOF/zOgcFi8iho4cCAEAgEWL15cIhbGWKm3C5Xm7RPVos9Gee9HgUCA7t274+jRowq3ziQkJGDPnj1o164dDA0NKxRDWYYMGYKXL19i06ZNJZ7Lzc3lKuoTQghRrdzcXBw6dAh9+vTBoEGDSjxmzpyJzMzMCg3FWt6xqaLHQE9PT5ibm8Pf3x8SiYRrs3379hLH5l69eiE+Ph779u3j5kmlUvz222/Q19dHx44dy407Li4Ohw8f5v7OyMjAzp074ebmpnArTGl8fX0hEomwdu1ahX3asmUL0tPT0bt373K3Xx4LCwt06tQJGzduxKtXr0o8Xx3nZoTUVJQJQtTWqVOnuB764tq0aYNGjRrho48+Qtu2bfH1118jKiqKG6+9tLoNEyZMwKpVq+Dn54eJEyciMTER/v7+cHJyqpICj0VMTU3Rrl07jB8/HgkJCVizZg3s7e0xefLkd1qfk5MTWrdujfnz5yMlJQWmpqbYu3cvpFJplcVclsaNG8PY2Bj+/v4wMDCAnp4evL29YWdnh82bN6Nnz55wcnLC+PHjUa9ePbx8+RIXLlyAoaEh/vnnnyqNpbzXls/nv3dMhoaG6NChA37++WcUFBSgXr16+PfffxXufS7i4eEBAPj2228xbNgwaGlp4aOPPoKenh4mTZqE5cuXY9KkSfD09MSlS5e4q0UV0bhxYyxduhTz589HVFQU+vfvDwMDA0RGRuLw4cOYMmUKvvzyy3LXExkZib59+6JHjx4ICgrCrl27MGLECIWrY8osXboUZ8+eRbt27TB9+nQIhUJs3LgR+fn5+Pnnnyu8L2UZPXo0/v77b0ydOhUXLlxA27ZtIZPJEBoair///htnzpwpsy4QIYSQD+PYsWPIzMxE3759S32+devWMDc3x+7duzF06NAy11Xesamix0AtLS0sXboUn3zyCbp06YKhQ4ciMjIS27ZtK1ETZMqUKdi4cSPGjRuHO3fuwNbWFgcOHMDVq1exZs0ahcLryjg4OGDixIm4desWLC0tsXXrViQkJGDbtm3lLmtubo758+dj8eLF6NGjB/r27YuwsDBs2LABXl5eGDVqVLnrqIj169ejXbt2aNGiBSZPnoxGjRohISEBQUFBiI2Nxb1796pkO4TUeB96OBpC3ldZQ+TiraHAkpOT2ejRo5mhoSEzMjJio0ePZnfv3i11iNJdu3axRo0aMZFIxNzc3NiZM2eqfIjcv/76i82fP59ZWFgwHR0d1rt3b/bixQuF9Xfs2JE5OTmVuu+lDeX77Nkz5uvry8RiMbO0tGTffPMNO3v2bKlD5Ja23oYNG7LevXuXmA+AzZgxo9Q4ijt69Chr3rw5EwqFJV7Xu3fvsoEDB7I6deowsVjMGjZsyIYMGcICAgK4NsqGehs7dizT09Mr9TUovh+VeW3fNybGGIuNjWUDBgxgxsbGzMjIiA0ePJjFxcWVeF8wxtgPP/zA6tWrx/h8vsJ7JCcnh02cOJEZGRkxAwMDNmTIEJaYmKh0uMDS4mCMsYMHD7J27doxPT09pqenx5o2bcpmzJjBwsLCSm3/9nofP37MBg0axAwMDJiJiQmbOXMmy83NVWhb1vsgODiY+fn5MX19faarq8s6d+7Mrl27ptDmfYbIZaxwiMIVK1YwJycnJhaLmYmJCfPw8GCLFy9m6enpZe4nIYSQD+Ojjz5i2traLDs7W2mbcePGMS0tLZaUlMQYUz5EbkWOTYxV/Bi4YcMGZmdnx8RiMfP09GSXLl0q9XiTkJDAxo8fz8zMzJhIJGItWrQodTj70hSdS505c4a5uLgwsVjMmjZtyvbv36/QrujYd+vWrVLXs27dOta0aVOmpaXFLC0t2bRp01hqaqpCm/cZIpexwvPGMWPGMCsrK6alpcXq1avH+vTpww4cOFChfSVEE/AYe8fKh4SoqaioKNjZ2WHbtm0YN26cqsMh7ykwMBCdO3fG/v37MWjQIFWHoxYWLVqExYsX4/Xr1yVG3yGEEEJI5dja2sLZ2RnHjx9XdSiEkAqgmiCEEEIIIYQQQgipFagThBBCCCGEEEIIIbUCdYIQQgghhBBCCCGkVqCaIIQQQgghhBBCCKkVKBOEEEIIIYQQQgghtQJ1ghBCCCGEEEIIIaRWEKo6gJpGLpcjLi4OBgYG4PF4qg6HEEIIUUuMMWRmZqJu3brg8+maS1no3IMQQgh5fxU996BOkLfExcXBxsZG1WEQQgghGiEmJgb169dXdRg1Gp17EEIIIVWnvHMP6gR5i4GBAYDCF87Q0FDF0RBCCCHqKSMjAzY2NtxxlShH5x6EEELI+6vouQd1grylKA3V0NCQTkQIIYSQ90S3d5SPzj0IIYSQqlPeuQfdpEsIIYQQQgghhJBagTpBCCGEEEIIIYQQUitQJwghhBBCCCGEEEJqBeoEIYQQQgghhBBCSK1AnSCEEEIIIYQQQgipFagThBBCCCGEEEIIIbUCdYIQQgghhBBCCCGkVqBOEEIIIYTUGuvXr4etrS20tbXh7e2Nmzdvltk+LS0NM2bMgLW1NcRiMRwcHHDy5Mn3WichhBBCVIc6QQghhBBSK+zbtw9z5szBwoULERwcDFdXV/j5+SExMbHU9hKJBN26dUNUVBQOHDiAsLAwbNq0CfXq1XvndRJCCCFEtXiMMabqICpi2bJlOHToEEJDQ6Gjo4M2bdpgxYoVcHR05Nrk5eXhiy++wN69e5Gfnw8/Pz9s2LABlpaWFd5ORkYGjIyMkJ6eDkNDw+rYFUIIIUTj1cTjqbe3N7y8vLBu3ToAgFwuh42NDT799FN8/fXXJdr7+/tj5cqVCA0NhZaWVpWsszTV9VpJc3KUPscTCCAQiyvWls+HQFv73drm5gLKTjV5PAh1dN6prSwvD0wuVxqHUFf33drm54PJZFXSVqCjAx6PV/VttbXB4xdex5RLJJBLpVXTViwGTyCofNuCAsgLCpS25YtE4AuFlW8rlUIukShvq6UF/pvPZWXaMpkMsvx85W2FQvBFosq3lcshy8urkrbFP5+MMchyc6u8LUDfEe/Ulr4jKt+2jM998derKlT0eCqs0q1Wo4sXL2LGjBnw8vKCVCrFN998g+7du+Px48fQ09MDAHz++ec4ceIE9u/fDyMjI8ycORMDBw7E1atXVRw9IUSZ+LQcvM7IQ3p2PtJzJNwjLfu/6ex85SdMRcRCAYx0RYUPvcJ/jXVFMNITw1hXBGM9MWzM9CHg8z7AXhFCahqJRII7d+5g/vz53Dw+nw9fX18EBQWVusyxY8fg4+ODGTNm4OjRozA3N8eIESMwb948CASCd1onAOTn5yO/2A+rjIyMKthDRePXX8DAVZOUPv/KtgWu9J/F/T1g3QwIpaX/iEys54CLg+dyf/fd+DnEuVmltk2xbIiA4d9xf/fa8jX0MpNLbZtuao1/xyzh/u6+cwGMUl6V2jbboA5OTlzO/d31r6UwTXhRatt8HX0c+2Q193fH/Sth8fJpqW2lQhEOz1zP/d3uyFpYRz0otS0A7J+9qbBdUyu0PLoBr06dUtq254MH3An+/e++Q+yhQ0rbdr95E+I6dQAAj3/6CVG7dilt2/XiRejWrw8ACP3f//Bs82albTudOgUDBwcAQPjvv+Pp2rVK27Y/fBjGLi4AgOfbt+PJihVK2/rs3g2z1q0BAC/27sXDRYuUtm21eTMsO3cGALw8ehQh8+Ypbevx22+o26sXACD+339x59NPlbZ1W7ECNoMGAQBeX76Mm5OUv9+dFy2C3ejRAIDkW7cQNHKk0rbN5s2D/ZQpAID0R49wecAApW0dZs2C42efAQCyIiIQ2LOn0raNJ01C8zffFblxcQjo2FFpW9tRo9Bi8WIAgCQlBf+2aqW0bf2BA+G+ciUAQJabi1MtWihta92zJzzfdNgCKLOtRadO8N6yhfv731atlHaw1PH2Rps9e7i/Azp2hCQlpdS2Ri1aoMORI9zfgX5+yH35stS2+k2aoPPp09zflwcMQFZ4eKltderVg++lS9zfV4cNQ/qD0j/LIlNT+N26xf19Y8IEJN+4UWpbmZYYh2b895pV9DsCAFqf8IdN+B2lbQ/NWAeZVmFHk9eZrbB9ovy4cXTKKkh0DQAA7ud3w/5+oNK2J8YvQ46RGQDA5fJ+ON75V2nbM6MXIaNOYXZj86BjcLrxj9K254Z9g1QrOwCAw+0zcL1yQGnbwI+/xGubwmSFxvcuoOWFPaW2u//zfnz7cUul66kuatMJcrrYBwAAtm/fDgsLC9y5cwcdOnRAeno6tmzZgj179qBLly4AgG3btqFZs2a4fv06Wr/5oiaEqJ5MznDjaQIOXH+ORzGpH2y7lsY6GNDKDn5uNtAVq83XHyGkCiQlJUEmk5XIDrW0tERoaGipyzx//hznz5/HyJEjcfLkSURERGD69OkoKCjAwoUL32mdQGF26+I3P3CqS0Ka8qvBAJAvlSm0KSstuEAqV2grlytvXSBlCm1lZbSVyhXbSstoK3urbYFUeVt5ibbKr/AyKL5W+VLlV1dRrO2h65FwV49kakLIe5Az9k7fEQCQLym7bWJaLqRahd9PueW0fZ2RizxJ4blrjkR5BgYAJGXkIZMVxpGdV3bb5Ix8pAgK2zbMK/uiY0pWPhLf7F/dctqmZuVzr4VFjvIsrZQs5ZlW1Ultbod5W0REBJo0aYIHDx7A2dkZ58+fR9euXZGamgpjY2OuXcOGDTF79mx8/vnnpa6ntKsxNjY2NSp9lxBNkVcgw9l7sTh8IxIvU7IBAAI+DxZGOgpZG8WzOYx0RdDX1uJSAEvHkCeRIa0okyRbgvScfIVsktcZudwBRk8sRK+WDdC/lR3MDLXLWC8h5F3VtNth4uLiUK9ePVy7dg0+Pj7c/K+++goXL17EjVKuAjo4OCAvLw+RkZEQvEnrXbVqFVauXIlXr1690zqBD3PuERaXBllOGR0hfD74xVLd5WWk0IPPA1+s/W5t83KV97DwAL62zru1zc8Dyug04eu8a9t8oIy0eL6ONj7fdg1yBuya1g4muqXfJgVQqnsRuh2m8m3pdpiixqq9HeZaWDxWHA5Bg/rm+Kx3YdZM+d8RFf8+4Wlrc597uUQClPG5r1RbsZj73LOCArAyPsuVaisScZ/7SrWVFoAVlN5W30gfDcwNlK6nsjTudpji5HI5Zs+ejbZt28LZ2RkAEB8fD5FIpNABAhRejYmPj1e6rg9xNYaQ2i4lKw//3HqB43deICO38ORHX1uI3h4N0c/LFnUMqr8jIr9AhnP3Y3HoeiRiU7KxP+g5Dt2IRCenuvi4tR0aWxlVewyEENUxMzODQCBAQkKCwvyEhARYWVmVuoy1tTW0tLS4DhAAaNasGeLj4yGRSN5pnQAgFoshLvbjojo41jUGYFyJJdStreoY64mRkpWPDClgXsH72QWV+P+uTFu+SMT9sFZZ22IdDFXaVijkOkSqsi1PIKhwHYJKteXzq6ctj1ctbYHK1WOotrbFOg2qsm3xjpZ3bZsu40OqJYa1iS6a1jOu8PpIzaeWo8PMmDEDDx8+xN69e997XfPnz0d6ejr3iImJqYIICSFyxhD+Kh2r/rmHMWsvYM+VCGTkFsDKWAfT/Zpj12ddMaFL0w/SAQIAYi0Bens0xKbpHbF4qCdcGppCJmcIePAS0zddwbw/r+P60wRIyklzJISoJ5FIBA8PDwQEBHDz5HI5AgICFLI4imvbti0iIiIgL3Yl7+nTp7C2toZIJHqndRL1Z6JX2EmhqjRuQsiHUfQZN9Wv3k5r8uGpXSbIzJkzcfz4cVy6dAn13xSFAgArKytIJBKkpaUpZIPUhKsxhNQGMrkcz+Iz8CA6BfdfpOBhdAqyit0v2Ky+MT5u3QhtHK1UWpyUz+OhtYMlWjtY4mlcGg5ej8Slx68QEpWMkKhkaAn4cKxnDJcGpnBuaAqn+ibQFqndVyUhpBRz5szB2LFj4enpiVatWmHNmjXIzs7G+PHjAQBjxoxBvXr1sGzZMgDAtGnTsG7dOnz22Wf49NNPER4ejp9++gmzZs2q8DqJ5jHRFwMJQGo2dYIQoslS33SCFHV8Es2hNmf2jDF8+umnOHz4MAIDA2FnZ6fwvIeHB7S0tBAQEICPP/4YABAWFobo6Gi6GkNINZDJGUJfpuLhm06PxzGpJQo1aWsJ4GVvjoGtG6F5fRMVRaqcQ11jzB/ojoldm+LwzUgEPoxDSlY+HkYXduLgSmHNkibWRmjRwBQtGpqiRYM6VFSVEDU1dOhQvH79GgsWLEB8fDzc3Nxw+vRprrBpdHQ0+Pz/kmRtbGxw5swZfP7553BxcUG9evXw2WefYV6x0S3KWyfRPEU/iFIpE4QQjcZ1glAmiMZRm8Ko06dPx549e3D06FE4Ojpy842MjKDz5v6wadOm4eTJk9i+fTsMDQ3x6Zthta5du1bh7dS0Qm6E1ERp2flYsPc2wuLSFObriYVwLtZZYG9lCKFAfe66Y4whLiUHD6KTuWyWhHTFAmNGuiIsHOIBJxtTFUVJiHqg42nF0WulXrYEhOLva8/Qv5Utpvk5qTocQkg1+XTLFTyNS8eiIZ7wcaSObXWgcYVRf//9dwBAp06dFOZv27YN48aNAwCsXr0afD4fH3/8MfLz8+Hn54cNGzZ84EgJ0Wwvk7Px7V838So1B7oiIdwbmcGloSlaNDCFrYWhSm91eV88Hg/16uihXh099HBvAABISMvBg+gUPIhOQfDzJCSm5+LrXTfw9QB3tG2q/FY7QgghmqnoqnBatvLRSAgh6q/oM06ZIJpHbTpBKpKwoq2tjfXr12P9+vUfICJCap/Ql6lYsPc20nMksDLWwY8jWqF+HX1Vh1WtLI11YWmsC1+X+siTSPHTobu4EZ6IH/bfwfQeTujrZavqEAkhhHxAplxhVOVDnBJC1BtjjLsdhgqjah71yVMnhKhUUFgCvtp5Hek5EjSxNsKa8W01vgPkbdoiIRYO8UCvlg3AAKw//QhbAkIhV4+7CgkhhFSBoqvCVBOEEM2VlSdFgaxwZDBjvYoNF03UB3WCEELKdeLOCyzZfxv5Ujm87M2xckzrWpsaKODzMauXM8Z2cgAA/H3tGVYeCeEOlIQQQjSbyZsfRDQ6DCGaK/VNppe+thAioUDF0ZCqpja3wxBCPjzGGHYEPsVfVyIAAH5u9TGrVwu1KnZaHXg8Hka0bwIzQ22sOf4A5x/GISU7HwsGeUBPW0vV4RFCCKlGJvraAAqvFEukMvqBRIgGSsmm4XE1We3+JUMIUUoqk+N/x+5zHSCjOzTB531can0HSHHdXW2wZJgXdEQChEQm44sdQUjKoHvECSFEk+lrC6H15lhIxVEJ0UxpWVQUVZPRrxlCSAmvM3KxYO8tnL0fCz6Ph8/7tMCojg7g8dR35Jfq4tnYHCvH+MBUX4zIxEzM3nYVj2JSKlTMmRBCiPrh8XjcD6MUqgtCiEYqygQxfZP5RTQL3Q5DCAEAyORy3Ip4jZPB0bgVkQg5A8RaAnz3cUu0amKh6vBqtCbWRlg9vg2+3XMTscnZmLM9CI0tDdGzZQN0ca5Lt8gQQoiGMdETIzE9l4qjEqKhij7blAmimagThJBaLiEtB6dDYnAmJAbJmf+dzLk0NMWUbs3RxNpIhdGpDytjXawe1wYbzz7GxUev8CwhA+tOPcSmc0/Qsbk1erVsgKb1jCmbhhBCNAA3QgwVRyVEI3GdIFQTRCNRJwghtZBUJseN8EScDI7GnWevUXTjhpGuCN1c66OHmw1szGrX8LdVwVBXhLn93PBJ9+YIuP8SJ4OjEZ2UhX/vxeLfe7GwNTdAr5Y26NKiPgx0KDuEEELUVdEIMXQ7DCGaiSuMqk/D42oi6gQhpJZ5nZGLuTuv41VqDjfPza4Oerk3gI+jJVW5rwKGOiIM8LZD/1a2eBybilPBMbj4OA5RrzOx4cxjbDkfRrcZEUKIGivKBEmjTBBCNFIaZYJoNOoEIaQWKZDJ8eOBYLxKzYGRrgg93GzQw90GdU31VB2aRuLxeHCyMYWTjSmm+jXH+QcvceJONKJeZ2L54btYN6kdvfaEEKKGTKkwKiEaLZUrjEqdIJqIRochpBbZfO4JnrxMg762EL9OaIsJXZvSj/APRF9bC329bLFucjs0q2+M7Hwplh4IRn6BTNWhEUIIqaSiq8NUGJUQzSOTMy7LiwqjaibqBCGklgh8FIcjN6MAAHP7ucHaRFe1AdVSWgI+vv24JYx0RXiWkIENpx+pOiRCCCGVRIVRCdFcGTkSyBnA5wFGutQJoomoE4SQWiD6dSZW/3MfADC0bWO0drBUcUS1m7mhDuYPdAefB25kHkIIIeqjKBMkJSsfjLFyWhNC1EnRbW6GuiII+DSqnyaiThBCNFyuRIofDgQjr0AGV9s6GNvJQdUhEQDudmYY3bHw/2LdqYd4Fp+u4ogIIYRUVFEmSH6BDLkSuq2REE1SlOFFRVE1F3WCEKLBGGNYc/wBopOyYKovxvwB7hDw6WNfUwxrZ49WTSwgkcrxw4FgZOUVqDokQgghFaAjEkJHVDiaGt0SQ4hmKar1Q0VRNRf9GiJEgx27/QKBj+LA5/Hw7cctqbhTDcPn8TC3nyssjXXwKjUHK4/eg5zSqgkhRC1wdUGoOCohGiWViqJqPOoEIURDPYlNxR//PgYATPZtCucGpiqOiJTGUEeE7wd5QEvAx/WnCdh/7bmqQyKEEFIBNEIMIZqp6DNNt8NoLuoEIUQDpWXnY+nBYEjlDO2bWWGAt52qQyJlaGJthOk9nAAA2y+E4l5UsoojIoQQUh6uOCrdDkOIRikqjEqZIJqLOkEI0TAyOcOKIyFIyshDfVM9fP6RC3g8qmxd0/V0t4GvSz3IGfDToWAkZ+apOiRCCCFloNthCNFMVBhV81EnCCEaJFcixYbTDxH8PAliIR/fDWoJPbGWqsMiFcDj8fBprxawszBAWrYEP+y/g/jUHFWHRQghRImioolUGJUQzUKFUTUfdYIQogGkMjn+uR2F8esCcfxONABgVu8WsLM0VHFkpDK0tQT4fpAHdMVCPHmZhkm/X4T/v4+RniNRdWiEEELeQpkghGgmKoyq+YSqDoAQ8u4YY7j8JB7bLoQiLqUwa8DaRBcTuzZF+2bWKo6OvIt6dfSwaqwP/jj3BMHPk3D4RiTO3I3B4DaNMNDbDtoi+tomhJCagAqjEqJ5JFIZMnMLAFAniCajs2lC1FRIVBK2BITiaVw6AMBYT4RRHZqgp3sDCAWU5KXO7CwNsWykN+48f42tAaGIiM/AjsCn+Of2C4zq0AR+bjb0f0wIISpW9AOJCqMSojnSsguzb4V8Hgy06ZZyTUWdIISomWfxGdh6PhS3n70GAOiIBBjUuhE+9mkEHcoS0CgejczhbmeGi4/isP1CGOLTcrH25EMcuh6JcV0c0a6pFRW9JYQQFSnKBEnLygdjjL6PCdEARbfCGOuL6TOtwegXEyFq5Oy9WPzv2D0wAAI+D709GmBEuyaUrqfB+DweOjvXQ7tm1jh55wV2X45AbEo2lh4IRtcW9fBVfzdVh0gIIbWSsZ4IACCVM2TmFcBQR6TiiAgh74srikojw2g06gQhRE2kZefD/99HYADaNrXCxK5NUc9UT9VhkQ9ES8BHv1Z28HWtjwNBz7Hv6jMEPHiJTk510aqJharDI4SQWkckFMBARwuZuQVIzcqnThBCNAAVRa0d6KZyQtTE1vOhyMqTwt7KEN9+3JI6QGopPbEWxnZyxABvOwDAhjOPIJHKVBwVIYTUTlQclRDNUvRZpk4QzUadIISogSexqTgTEgsAmNHTGQI+3aNY241s3wR1DMR4lZqDA0HPVR0OIYTUSlxxVOoEIUQjFH2WTeh2GI1GnSCE1HAyOcO6Uw8BAN1c66N5fRMVR0RqAl2xEJN9mwEA9l6JQEJajoojIoSQ2ofLBKERYgjRCJQJUjuoVSfIpUuX8NFHH6Fu3brg8Xg4cuSIwvOMMSxYsADW1tbQ0dGBr68vwsPDVRMsIVXk1N1oRMRnQE8sxKSuTVUdDqlBOjnVhUtDU+RL5dj472NVh0MIIbWOqT7dDkOIJinq0KTCqJpNrTpBsrOz4erqivXr15f6/M8//4y1a9fC398fN27cgJ6eHvz8/JCXl/eBIyWkaqTnSLDtfBgAYGwnBxjTFzIphsfjYUYPZ/B5PFwNS+CGTSaEEPJhFF0tpkwQQjQDFUatHdSqE6Rnz55YunQpBgwYUOI5xhjWrFmD7777Dv369YOLiwt27tyJuLi4EhkjhKiLbedDkZVXADsLA/TxbKjqcEgNZGthgH6tbAEAG05TkVRCCPmQqDAqIZqFboepHdSqE6QskZGRiI+Ph6+vLzfPyMgI3t7eCAoKUrpcfn4+MjIyFB6E1ARhcWk4fTcGQFExVI35uJIqNrpDE5joifEyJRuHrkeqOhxCCKk1qDAqIZojVyJFrqTwYhIVRtVsGvOrKj4+HgBgaWmpMN/S0pJ7rjTLli2DkZER97CxsanWOAmpCDkrLIbKAHRtUQ8tGpiqOiRSg+lpa2GSb2G9mD1XIpCYnqviiAipudavXw9bW1toa2vD29sbN2/eVNp2+/bt4PF4Cg9tbW2FNuPGjSvRpkePHtW9G6SGoMKohGiOoiwQsZYAOiKBiqMh1UljOkHe1fz585Gens49YmJiVB0SITh9NwZP49KhKxJiIhVDJRXQtUU9ONmYIL9Ahj/OUpFUQkqzb98+zJkzBwsXLkRwcDBcXV3h5+eHxMREpcsYGhri1atX3OPFixcl2vTo0UOhzV9//VWdu0FqkKLCqBk5EsjkTMXREELeB1cUVV8MHo+n4mhIddKYThArKysAQEJCgsL8hIQE7rnSiMViGBoaKjwIUaWMXAm2nQ8FAIzu2AR1DLTLWYKQ4kVSgctP4hH8PEnVIRFS46xatQqTJ0/G+PHj0bx5c/j7+0NXVxdbt25VugyPx4OVlRX3eDvjFCg8lyjexsSEhjKvLQx1ReDzADkD0nMoG4QQdcbVA6FbYTSexnSC2NnZwcrKCgEBAdy8jIwM3LhxAz4+PiqMjJDK2XEhDBm5BWhoro++XraqDoeokcZWhvjI0xYAsOH0QxTI5KoNiJAaRCKR4M6dOwq1w/h8Pnx9fcusHZaVlYWGDRvCxsYG/fr1w6NHj0q0CQwMhIWFBRwdHTFt2jQkJyeXGQvVI9McAj6PG7mNiqMSot5oZJjaQ606QbKyshASEoKQkBAAhcVQQ0JCEB0dDR6Ph9mzZ2Pp0qU4duwYHjx4gDFjxqBu3bro37+/SuMmpKLCX6XjxJ1oAMDMns4QCtTqI0pqgDGdHGCsJ0JMcjaO3KAiqYQUSUpKgkwmq1TtMEdHR2zduhVHjx7Frl27IJfL0aZNG8TGxnJtevTogZ07dyIgIAArVqzAxYsX0bNnT8hkykdqonpkmqWoE4SKoxKi3lK4TBCRiiMh1U2o6gAq4/bt2+jcuTP395w5cwAAY8eOxfbt2/HVV18hOzsbU6ZMQVpaGtq1a4fTp0+XKGJGSE0klcmx/k0x1E5OdeHSsI6qQyJqSF9bCxO7NsX/jt3Hrkvh6NDcGpbGuqoOixC15OPjo5BN2qZNGzRr1gwbN27EDz/8AAAYNmwY93yLFi3g4uKCxo0bIzAwEF27di11vfPnz+fOYYDCzFXqCFFfJvpiIIGKoxKi7v4bHpd+O2o6tbrM3KlTJzDGSjy2b98OoPC+3SVLliA+Ph55eXk4d+4cHBwcVBs0IRUQlZiJz7ZexZOXadARCTClWzNVh0TUmK9LfTSrb4y8Ahk+3XIVlx+/UnVIhKicmZkZBAJBpWuHFaelpQV3d3dEREQobdOoUSOYmZmV2YbqkWkWU7odhhCNUPQZNqXbYTSeWnWCEKJpZHKGv689w8zNVxARnwF9bS18PcCdiqGS98Ln8fBVPzfYWRggPUeCpQeDsezQXWTkSlQdGiEqIxKJ4OHhoVA7TC6XIyAgoMK1w2QyGR48eABra2ulbWJjY5GcnFxmG6JZiuoHpGbTdywh6qzoM0yFUTUfdYIQoiKxyVn4Ysc1bAkIRYFMjlZNLPDH1A5o7VBy5AFCKquuqR5+m9QOw9vZg8/jIfBRHD7xv4Qb4QnlL0yIhpozZw42bdqEHTt24MmTJ5g2bRqys7Mxfvx4AMCYMWMwf/58rv2SJUvw77//4vnz5wgODsaoUaPw4sULTJo0CUBhrbK5c+fi+vXriIqKQkBAAPr16wd7e3v4+fmpZB/Jh8d1glAmCCFqjQqj1h5qVROEEE0gZwzHbkVha0Ao8qVy6IqEmOrXHN1d69OY5KRKaQn4GNfZEa0dLPHL0RDEJGdjwd7b8HOrj0+6NYeetpaqQyTkgxo6dChev36NBQsWID4+Hm5ubjh9+jRXLDU6Ohp8/n/Xh1JTUzF58mTEx8fDxMQEHh4euHbtGpo3bw4AEAgEuH//Pnbs2IG0tDTUrVsX3bt3xw8//ACxmE6ia4uiIoopWXkqjoQQ8q4YY8WGyKXCqJqOxxhjqg6iJsnIyICRkRHS09PpHl1S5eLTcvC/Y/dw/0UKAMDdzgxzPnKBhZGOiiMjmi6/QIbtgWE4fD0SDIC5oTbmfOSKlo3MVB0a0VB0PK04eq3UW0hUEub9eQM2dfSweXonVYdDCHkHmbkFGPTLvwCAf+b3gEgoUHFE5F1U9HhKmSCEfCAXHr7EryceIFcig1hLgMm+TdHboyH4lP1BPgCxlgCfdGuONo5W+N+xe3iVmoP5u2+gfytbfNK9Ob0PCSHkHXGFUWl0GELUVuqbTC59bSF1gNQCVBOEkA/gdUYu/nfsPnIlMjjZmOD3Ke3xkact/fAkH1yLBqZv3n8NAQBHbkYh8GGciqMihBD1VTScZlaeFBKpTMXREELeBRVFrV2oE4SQD+Dva89QIJPDycYEK8f4oJ6pnqpDIrWYjkiImT2dMbpDEwDAnsvhkMnpzkhCCHkX+tpCaAkKT6nTaIQYQtQSVw+EiqLWCtQJQkg1S8rIw6ngGADAmI4OEPAp+4PUDAO87aCvrYWY5GxcfvxK1eEQQoha4vF4MOaKo9ItMYSoo5SikWEoE6RWoE4QQqpZ8SwQV9s6qg6HEI6ethYGetsBAHZTNgghhLwzGiaXEPVGmSC1C3WCEFKNkjPzcDI4GgAwqoMDDYFLapz+rWyhry1EdFIWLj+hbBBCCHkXVByVEPVW1AliSp0gtQJ1ghBSjYqyQJrXN4G7HWWBkJpHT1sLA1oVZoPsuRwOOY2aTgghlUaZIISot6IOTMoEqR2oE4SQaqKQBdKxCWWBkBqrv7cd9MRCvHidhStP4lUdDiGEqB2uE4QyQQhRS9ztMFQTpFagThBCqsmBoOeQSOVoVt8YLe3MVB0OIUrpa2thQFFtkEuUDUIIIZVV9MOJCqMSop5SqTBqrUKdIIRUg5SsPBy/8wIA1QIh6qF/KzvoioWIep2Jq5QNQgghlUK3wxCivmRyhjS6HaZWoU4QQqrB/jdZIE3rGcOjEWWBkJrPQEcL/VvZAigcKYayQQghpOJM6XYYQtRWRo4EcgbwAG64a6LZqBOEkCqWmpWPE7eLskCoFghRHwO8C7NBIhMzcS2UskEIIaSiilLoKROEEPVT1HlppCeCgE8/j2sD+l8mpIoduP4c+VI5HOsaw7OxuarDIaTCDHVE6O9lCwDYfTmCskEIIaSCilLo8wpkyJVIVRwNIaQyqChq7UOdIIRUobTsfPxDWSBEjQ1obQddkRDPEzJwPSxB1eEQQoha0BEJoa0lAEDFUQlRN0WfWaoHUntQJwghVehA0HPkF8jgYG0EL3vKAiHqx1BHhL5eDQEAuy6Fg1E2CCGEVAgVRyVEPdHIMLUPdYIQUkXSsvNxrCgLpCNlgRD19XHrRtARCfAsIQNBTykbhBBCKsKUOkEIUUtFn1lTygSpNagThJAqcvB6JJcF0sreQtXhEPLODHVF6FtUG4SyQQghpEK44qg0QgwhaiWVhsetdagThJAqkJ4jwbFbUQCAkVQLhGiAj1s3graWABHxGbgRnqjqcAghpMaj22EIUU9UGLX2oU4QQt5TfoEMvx6/j7wCGeytDOHdhLJAiPozKpYNsvHsY7xKzVFtQIQQUsMV/YBKoUwQQtQKFUatfagThJD3kJSRhy93BOFqWAIEfB4m+TajLBCiMQb5NIKZoTbiUnIwa8sV3ItKVnVIhBBSY1EmCCHqiQqj1j7UCULIOwp9mYZPt1zB01fpMNTRwvJR3nC3M1N1WIRUGSNdEdZOaAuHukbIyC3A/N03cDI4WtVhEUJIjUSFUQlRPxKpDJm5BQCoMGptQp0ghLyDCw9fYu7OIKRk5aOhuT5+m9gOLg3rqDosQqpcHQNt/DLGB52c6kImZ/j1xANsOP0IMrlc1aERQkiNUpQJQrfDEKI+0rIlAAAhnwd9HS0VR0M+FKGqAyBEncgZw87Ap/jrSgQAwLuJBeYNcIOemL40ieYSawnw9QA32FoYYPuFMBy9FYXopCx8+3FLGNAJAyGEAPgvlT4tKx+MMbo9lhA1kPam09JYXww+fWZrDcoEIaSCciVS/LD/DtcBMqRNYywc4kkdIKRW4PF4GN7OHgsGe0BbS4C7kUn4bOtVxCRlqTo0QgipEYz1RAAAqZwhM69AxdEQQioihUaGqZU0shNk/fr1sLW1hba2Nry9vXHz5k1Vh0TUXEJaDj7fdg3XwhKgJeBjbj9XTOzaFAI+9RiT2qVtUyusGtcGFkY6eJmSjc+2XsWdZ69VHRYhhKicSCiAvnbhhRGqC0KIeuCKolI9kFpF4zpB9u3bhzlz5mDhwoUIDg6Gq6sr/Pz8kJiYqOrQiJpKTM/FrK1XEZmYCRM9MX4e0xq+LvVVHRYhKtPYyhC/TWwLJxsTZOdL8d1fN3EtNF7VYRFCiMpRcVRC1EvRZ9WUMkFqFY3rBFm1ahUmT56M8ePHo3nz5vD394euri62bt2q6tCImjp0IxJp2RI0NNfH2olt0by+iapDIkTljPXEWD7KG12c60LOgO2BYWCMqTosQghRKa44KnWCEKIWuNthKBOkVtGoThCJRII7d+7A19eXm8fn8+Hr64ugoCAVRkbUVU6+FGdCYgAAk32bwcJIR8UREVJziIQCzOzpDB2RAC9eZyEkKlnVIRFCiEpxxVFphBhC1EIa3Q5TK2lUJ0hSUhJkMhksLS0V5ltaWiI+vvRU7fz8fGRkZCg8CCly9n4scvKlqF9HDx6NzVUdDiE1jp62Frq5Ft4eduRGpIqjIYQQ1aJMEELUCxVGrZ00qhPkXSxbtgxGRkbcw8bGRtUhkRpCzhiO3owCAPTzsqVhswhRoq+nLQDgRngi4lKyVRsMIYSoUNEPqVTKBCFELVBh1NpJozpBzMzMIBAIkJCQoDA/ISEBVlZWpS4zf/58pKenc4+YmJgPESpRA3eevcbLlGzoioXclW5CSEk2ZvrwsjcHA3Ds9gtVh0MIISpDhVEJUS9UGLV20qhOEJFIBA8PDwQEBHDz5HI5AgIC4OPjU+oyYrEYhoaGCg9CAODwmyyQHm420BEJVRsMITVcPy9bAMCZkBjk5EtVGwwhhKgI3Q5DiPrIk0iRK5EBoEyQ2kajOkEAYM6cOdi0aRN27NiBJ0+eYNq0acjOzsb48eNVHRpRI9FJWbjz7DV4APq++XFHCFHOo7E56tfRQ06+FGfvUUYdIaR2+q8wqkTFkRBCypP65nMq1hJARyRQcTTkQ9K4TpChQ4fil19+wYIFC+Dm5oaQkBCcPn26RLFUQspy7FYUAKC1gyWsTXRVGwwhaoDP46F/K1sAwNFbLyCn4XIJIbWQib4IAJCekw+ZnL4HCanJUrLyAAAmeiLwqPZfraJxnSAAMHPmTLx48QL5+fm4ceMGvL29VR0SUSNZeQU4ey8WALgfdYSQ8vm61IeeWIiXKdm4HfFa1eEQQsgHZ6QrBp8HyFlhRwghpOYqqgdCt8LUPhrZCULI+zgTEoO8AhlszQ3galtH1eEQojZ0REL4uReOsHXkTTYVITXN+vXrYWtrC21tbXh7e+PmzZtK227fvh08Hk/hoa2trdCGMYYFCxbA2toaOjo68PX1RXh4eHXvBqmhBHwejHSpOCoh6qBoZBgqilr7UCcIIcXI5AxH3/x46+9tS6lxhFRSP09b8FA4ulJ0UpaqwyFEwb59+zBnzhwsXLgQwcHBcHV1hZ+fHxITE5UuY2hoiFevXnGPFy8UR0D6+eefsXbtWvj7++PGjRvQ09ODn58f8vLyqnt3SA1FxVEJUQ8plAlSa1EnCCHF3HiagIS0XBjoaKGzcz1Vh0OI2rEy0UVrh8IaTEdvRqo4GkIUrVq1CpMnT8b48ePRvHlz+Pv7Q1dXF1u3blW6DI/Hg5WVFfcoXmOMMYY1a9bgu+++Q79+/eDi4oKdO3ciLi4OR44c+QB7RGqioh9UVByVkJqt6DNqoq9dTkuiaagThJBiilL4e7k3gLYWVYkm5F3097YFAJy9/xJZeQWqDYaQNyQSCe7cuQNfX19uHp/Ph6+vL4KCgpQul5WVhYYNG8LGxgb9+vXDo0ePuOciIyMRHx+vsE4jIyN4e3uXuc78/HxkZGQoPIjmMNErLI5KmSCE1GxcJsibzyypPagThJA3nidk4F5UMvg8Hvp4NlR1OISoLdeGdWBrboD8AhlO36XhcknNkJSUBJlMVmK0OEtLS8THx5e6jKOjI7Zu3YqjR49i165dkMvlaNOmDWJjC4tnFy1XmXUCwLJly2BkZMQ9bGxs3mfXSA1TNExuUb0BQkjNRIVRay/qBCHkjaM3owAAbZtawcJIR7XBEKLGeDwelw1y7HYUDRNJ1JaPjw/GjBkDNzc3dOzYEYcOHYK5uTk2btz4XuudP38+0tPTuUdMDHUWahLTNz+okjOpLgwhNVnymyFyTakTpNahThBCAKTnSHD+4UsAwIA3P94IIe+ui3M9GOhoISEtFzeeJqg6HEJgZmYGgUCAhATF92NCQgKsrKwqtA4tLS24u7sjIiICALjlKrtOsVgMQ0NDhQfRHFbGugCA+NQcFUdCCFFGIpUhOaOwE6ToM0tqD+oEIQTAqeBoSKRy2FsZonl9E1WHQ4jaE2sJ0Mu9AQDgMBVIJTWASCSCh4cHAgICuHlyuRwBAQHw8fGp0DpkMhkePHgAa2trAICdnR2srKwU1pmRkYEbN25UeJ1E89Q11QMAvEzJBmOUCUdITRSfmgMGQFckhJEu1QSpbagThNR6Upkc/9wuHPKwfys7GhaXkCrSx7Mh+Dwe7r9IwfMEKvxIVG/OnDnYtGkTduzYgSdPnmDatGnIzs7G+PHjAQBjxozB/PnzufZLlizBv//+i+fPnyM4OBijRo3CixcvMGnSJACFt37Nnj0bS5cuxbFjx/DgwQOMGTMGdevWRf/+/VWxi6QGsDIpvKqcnS9FZi4VhyakJop7k6lV11SXzv1rIaGqAyBE1a6GxiMpMw/GeiJ0dLJWdTiEaAwLIx20a2aFS49f4ejNKHz+kYuqQyK13NChQ/H69WssWLAA8fHxcHNzw+nTp7nCptHR0eDz/7s+lJqaismTJyM+Ph4mJibw8PDAtWvX0Lx5c67NV199hezsbEyZMgVpaWlo164dTp8+DW1tGnKxttLWEsDMQBtJmXmIS82GIV1lJqTGiUvJBgBYm+ipOBKiCtQJQmo1qUyOg9cLU/V7t2wIkZCGxSWkKvVvZYtLj1/h/MOXGNmhCRUdJio3c+ZMzJw5s9TnAgMDFf5evXo1Vq9eXeb6eDwelixZgiVLllRViEQD1DXVLewESclB03p0my0hNU3xTBBS+9DtMKTWksnl+PlICMLi0iAW8tHbo4GqQyJE4zSvb4Km9Ywhkcoxf9cNGi2BEFIr1H1zdTmOiqMSUiMVfTbrmVImSG1EnSCkVpLJGf537D4uPn4FIZ+Hbwe1RB0DSl0mpKrxeDx8M9AdlkY6iE3Jxte7biAtO1/VYRFCSLUqurpclHJPCKlZij6bdU0oE6Q2ok4QJWR5hVcrZfn5kOXnc/OKpqW5uf9N5+RALpH8N11QWARLmp0NuVRaOJ2VxU0XZGaCyWT/TcvlYIwVTjMGJpejIDMTAMBkMm5aLpVCmpX133R24YdXXlAAaU5hb6ZcIuGmZfn5kObm/rcftE+QSySQM4Y1B2/iwr1oCPg8fNO7Kbzs6qj1Pmni/xPtk+bsk6WxLn4a4AxzfRGik7Lw3ZZApGXlqfU+aeL/U3XsEyG11X+ZIPRZIKSmkcrkSEgrPK7WpUyQWok6QZR4vHw5ACD0l18Q+ssvAICHixcjwt8fABAydy6idu0CANyePh0xhw8DAK6PGYP4s2cBAJc//hhJ164BAC74+SHt/n0AwLl27ZD17BkA4LSbG/ISEiDNysJpNzdIs7KQl5CA025uAICsZ89wrl07AEDa/fu44OcHAEi6dg2XP/4YABB/9iyujxkDAIg5fBi3p08HAETt2oWQuXMBABH+/ni4eHGt36foQ4ew9sQDGP7vGzSOfoD5A9wh+Xq6Wu+TJv4/0T5p3j496NMNi9pawFRfDL9fp2OJ/xmkJqWq9T5p4v9TVe8TIbWVtUlRJgjdDkNITZOQngs5YxAL+TDVF6s6HKICPEYDmCvIyMiAkZERUhISYGJhwV1NE4jFhVffeDwIxGJIc3PB4/MLp3NywBcKwReJCqe1tMDX0oI0Oxt8sRh8oRDSrCzwtbXBFwpRkJkJoa4ueAJB4bSeHsDjQZqVBaG+PsAYpNnZ0DIwAJPJIM3JgZaBAeRSKeR5eRDq6xdO5+dDqKcHeUEB5AUFEOrqFmY6SKUQ6upClp8PJpdDqKNTuB+MQaCtXWv3qSA7GxvPP8U/IXEQSfMxu78Huro3VOt90sT/J9onzd6nmNRcfLP5Al5LgCbWxlg6wBlGdYzVep808f+pKvYpRyaDkZER0tPTYWho+GEO4mqq6NyDXivNkZ1fgIE//wsAODS3O/S0tVQcESGkyK2IRHz31y3Ymhtg49QOqg6HVKGKHk+pE+QtdCKimRhj2Hj2CQ7fiAQPwBd9XdHNtb6qwyKkVopKzMRXf15Heo4ETesZ46eRraAnph8ImoaOpxVHr5VmGrrqLNKyJVg3qR2aWBupOhxCyBtHb0Vhw+lHaONoiYVDPFUdDqlCFT2e0hC5ROMxxrAlIBSHbxQOhTu7T4sq7wCRyWQoeHOvPSGaSCAQQCgUgsfjvfe6bC0MsGykN+btuo7Ql2n4/q9b+HFEK+iI6JBECNEcdU30kJYtQVxKNnWCEFKDcEVRqR5IrUVnnESjMcawI/Ap9gc9BwB82ssZPdyrdijcrKwsxMbGgpKqiKbT1dWFtbU1RCLRe6+rsZUhlo30xte7ruNRTCoW7L2FH4Z5QZs6QgghGqKuqS4ex6bSMLmE1DBFn0kaGab2orNNotGO3YrCX1ciAADT/Zqjj0fDKl2/TCZDbGwsdHV1YW5uXiVXyQmpaRhjkEgkeP36NSIjI9GkSRPw+e9fV7uJtRF+GumNr3fdwP0XKfjx0F0sGepJnyNCiEbgRoihYXIJqVEoE4RQJwjRWLkSKXZeDAcATOjiiH6t7Kp8GwUFBWCMwdzcHDo6OlW+fkJqCh0dHWhpaeHFixeQSCTQ1taukvU61jXGjyNa4aud13EzPBEPolPg0rBOlaybEEJUqa7pmxFiKBOEkBpDJmeIp0yQWo+GyCUa62RwNLLyClDPVA+DfBpX67boyjWpDaoi+6M0zeubwM+tsE7P3qvPqmUbhBDyoRVdZaZMEEJqjtcZuZDKGbQEfJgZ0gXM2oo6QYhGkkhlOHi9sA7IkDaNIOBTJwUhNdlgn8bg83i48+w1wl+lqzocQgh5b0W3w6Rk5SNPIlVxNIQQAHj1JgvEyliHfh/UYtQJQjTSufsvkZyZDzMDbXR1qd1D4ZqZmSEqKqrcdkePHkWzZs3g5uaGBw8evPP2eDwe0tLSAABr1qxBfHx8me0HDx6MoKAgAMCCBQuwe/fud952WbH06tULYWFhVbbuqKgoCAQCuLm5cY9nzwqzGB48eIAOHTqgadOmcHZ2xoQJE5Cbm8stu2nTJri7u2PmzJlcQd1169bhp59+qrL41I2ViS46O9cFAOy7GqHiaAgh5P0Z6GjBQKdw+O9XdEsMITUC1QMhAHWCEA0kk8vx97XCH6Mf+zSCluDDvM0ZY8iTSKv1UZ0j0Pj7+2PBggUICQlBixYtqmSd5XWC3Lx5EykpKfDx8QEALFmyBCNHjqySbb/t5MmTcHR0rNJ1GhgYICQkhHs0blx425W2tjbWrVuH0NBQ3Lt3D9nZ2VixYgUAIDs7Gzt37sStW7cgFAoREBAAAJgyZQq2bNmC9PTamwUxpE3h63flSTyik7JUHA0hhLw/rjgqdYIQUiNwI8NQJ0itRoVRica59PgVXqXmwFBHC73cbT7YdvMLZOi34ky1buPoPL9yhxA9duwY5s2bBy0tLfTo0UPhufDwcMyePRuJiYnIz8/HlClTMHPmTMyaNQuXL19GaGgofvvtN1y7dg0jR45EWFgYJBIJbGxssGXLFlhZWSEqKgpubm5chkVWVhYMDAxKdNAsWbIEcXFxGDp0KHR0dLB9+3a4ubkptNm4cSNGjBjB/T1u3Di4ublh9uzZkEgk+Pbbb3Hq1CkIBAJYW1vj9OnTAIBffvkFf//9N6RSKSwsLLBx40Y0bFj2yD+2trY4cuQI3Nzc0KlTJ3h6euLGjRuIi4tDt27d4O/vDwDIzMzEnDlzcO/ePeTl5aF169ZYt25dpYaFbdKkCTctEAjg5eWFhw8fAijsLCuqISMQCCCXywEAIpEI3bt3x549ezBt2rQKb0uT2FoYwMfBEkFPE/D3tWf4sq+rqkMihJD3Ym2ii7C4NKoLQkgNUfRZtKaiqLUaZYIQjcIYw743hRX7t7Irt8NA0yQmJmL8+PE4ePAg7t+/D3t7eyQnJwMoHM53+PDh+N///odbt27h+vXr+OOPP3Dr1i2sXbsWnp6eWL16Na5duwagMIvj9u3buH//Ptq3b49FixZVKpYFCxagbt262LdvH0JCQkp0gABAYGAgvL29S11+2bJlePr0Ke7cuYN79+7hzz//BADs2bMHYWFhCAoKQnBwMEaOHInp06dXKjYAePbsGS5cuICHDx/izJkz3C05X3zxBdq3b4+bN2/i3r17kMvl+PXXX0tdR3Z2Nry8vNCyZUssWbIEMpms1DabN29Gv379AAD6+voYMWIEvLy8kJubi27dunFtfXx8uMyQ2mpYu8JskPMPXiIxPbec1oQQUrPRCDGE1CxxKTQyDKFMEKJhboQnIjIxEzoiAfp62X7QbYu1BDg6z6/at1GW69evw8XFBc2bNwcATJw4EZ9++ikAICwsDI8ePcKwYcO49pmZmXj8+DG8vLxKrGvPnj34888/kZeXh7y8PJiZmVXhnhSKjY2FpaVlqc8dP34cK1asgFgsBgCYm5sDAI4cOYJbt27Bw8MDAErteKiIoUOHQigUQigUcvU8fHx8cOTIEQQFBWHVqlUAgNzcXAgEJV93a2trvHz5EhYWFkhJScHQoUPxv//9D1999RXXRiKRYOjQoejevTsGDBjAzZ86dSqmTp1aYp1WVlaIjY19p/3RFE3rmcDNtg5CopJxIOg5pvdwUnVIhBDyzrjbYSgThBCVkzOGV6lUE4RQJwjRIIwx7H1TULGPR0OuGNmHwuPxalzmSfGhexljMDU1RUhISLnLXblyBWvXrkVQUBAsLCxw7NgxLFiwAAAgFAoVOh7y8vLeOT5dXd1KL88Yw/z58zFlypR33i5QWLejiEAggFQq5dZ/8OBBODg4lLm8WCyGhYUFAMDU1BQTJkzAnj17uE6QgoICDB06FNbW1kozSd6Wl5cHHR0arm1YO3uERCXj9N1ojGhvD2M9sapDIoSQd0KZIITUHCmZ+ciXysHn8WBpROdbtZna3A7z448/ok2bNtDV1YWxsXGpbaKjo9G7d2/o6urCwsICc+fO5X7YEM33IDoFT2LToCXgY4C3narDUQkfHx/cv38foaGhAICtW7dCIpEAABwdHWFoaIht27Zx7SMiIpCSklJiPampqTAwMECdOnUgkUiwceNG7jkrKyswxvD48WMAwM6dO5XGY2hoWGahTxcXF6UjtvTt2xe//vor8vPzAQCvX78GAPTv3x/+/v5c3AUFBbh7967SbVRW//79sWLFCu67IzU1FRERJUcrSUxMREFBAQAgPz8fhw4dgru7OwBAKpVi2LBhMDU1xR9//KHQGVWWJ0+ewNWV6mC42daBQ10j5EvlOHwjUtXhkBrkzp072LVrF3bt2oXg4GBVh0NIueq9udr8Oj0XEum7ZS4SQqpG3JssEEtjHQg/0MAJpGZSm/99iUSCwYMHKy0YKJPJ0Lt3b0gkEly7dg07duzA9u3buavXRPPtfVMLpLtbfdQx0C6ntWYyNzfH1q1bMWDAALi6uiI8PBx16tQBUJjBcfz4cRw6dAguLi5wcnLCxIkTFYZuLdKjRw84OjrC0dER7du3V6jnIRQK8dtvv6FPnz7w8vLiOgJKM2vWLEyePBlubm6lZqAMGjQIZ86UXkx23rx5cHBwQMuWLeHm5oaxY8cCAEaOHIlx48ahc+fOcHV1hZubG86fP1+JV6lsq1evho6ODtzc3ODi4oKuXbuWOsTwlStX4O7uDldXV7Rs2RJWVlb49ttvAQD79u3DoUOHcPv2bbi7u8PNzQ0zZswod9unT5/GoEGDqmxf1BWPx8PwtvYAgH9uv0B2nvL3GKkdEhMT0aVLF3h5eWHWrFmYNWsWPD090bVrV66DlJCayEhXBF2REAxAPGWDEKJSNDwuKcJj1TnmZjXYvn07Zs+ezY1MUeTUqVPo06cP4uLiuBoD/v7+mDdvHl6/fl3hkR0yMjJgZGSE9PR0GBoaVnX4pJqEv0rHzM1XwOfxsHVGpw9W8TkvLw+RkZGws7NTuL2CVExWVhbatGmDoKAg6OnV7gPS48eP8cknn+Dy5cuqDkWpD/l+lzOGT/wvITopCxO6OGLom04Roj6q8ng6dOhQPH/+HDt37kSzZs0AFH5mxo4dC3t7e/z1119VEbLK0LmHZpux6TIi4jOweKgnWjuUXgeLEFL9tgaEYt+1Z/jIsyFm9nRWdTikGlT0ePrOBQyio6Px4sUL5OTkwNzcHE5OTlwBQ1UICgpCixYtFIos+vn5Ydq0aXj06BGXpk400743tUA6OVnTkFdqRF9fH6tXr0ZkZCScnWv3wSgmJkbhtqPajs/jYWjbxlh59B4O3YhE/1Z25RYGJprr9OnTOHfuHNcBAgDNmzfH+vXr0b17dxVGRkj5rE30EBGfQcVRNYhMJiszE5bUTOlZ2TDXE6CBqfZ71bQjqicSicDnv/tNLZXqBImKisLvv/+OvXv3IjY2FsWTSEQiEdq3b48pU6bg448/fq+g3kV8fHyJUSaK/o6Pj1e6XH5+PldzACjsPQKA/ILC+zaL7t8UCQXIL5CBxyucziuQgV80LZFCIOBDS8BHnkQKoYAPoYCPXIkUIiEfAj4fOflSiLUKp7PzC6CtJYSAz0N2fgF0RELwAORIpFzKZK5ECj2xFmRyhryComk58gvk0BULIZPLIZHKoSMSQiqTQyqTQ1skRIFMDtmbaYlUBjkDtLUEkEhlYKxwdBFN26eE9FxcflL4fzy0rf0H3accSeEBkDEGmVwOAZ8PxhjkDBDweWCMgTGA/9a0nDGgItMo/DEolzOAV/40j1d4K0HxaZmcgc9NFxaDKj4NFF51Lz79336wat+nrl27Qi5nXAyasE/v8v/k2607+G9Kh9TkfSr63v8Q3xGdnOpix4UwJGbk4UxIDHp7NKDvPTXap6okl8uhpVWy2LWWlhbk8qrdFiFVjYqjag7GGOLj40tkpBP10MqaD3cLCxjrFGa2EvXF5/NhZ2dX4bs9SmAV9OmnnzJDQ0M2ePBgtnPnThYaGsoyMjJYQUEBS0hIYAEBAWzRokWsadOmzMnJid28ebPcdc6bN48BKPPx5MkThWW2bdvGjIyMSqxr8uTJrHv37grzsrOzGQB28uRJpTEsXLiw1O3+tPcqY4wx/zOPmP+ZR4wxxlYdu8d2BoYxxhj7Yf9tdiDoGWOMsfm7rrOTwS8YY4x9tuUKu/gojjHG2KQNgexWRCJjjLERq8+xRzEpjDHG+i8/zSITMhhjjHVfcpwlpuewrDwJ677kOMvKk7DE9BzWfclxxhhjkQkZrP/y04wxxh7FpLARq88xxhi7FZHIJm0IZIwxdvFRHPtsyxXGGGMng1+w+buuM8YYOxD0jP2w/zZjjLGdgWFs1bF7GrlPvxwNYd2XHGdj1p7/4Ps08n+n2OPHj1l6RhYLj0tjjDGWk1/AnsWnM8YYy8qVcOvIyMlnL15nMsYYS8vOYzFJhdMpmXnsZXIWY4yxpIxcFp+azRhjLDEthyWm5TDGGItPzWZJGbmMMcZeJmexlMw8xhhjMUmZLC27cPrF60yWkZPPvcZZuRLGGGPP4tNZTn4BY4yx8Lg0lieRMsYYC3uZyiRSGZPKZCzsZSqTymRMIi2cZoyxPImU9on2SWGfXrxKZrfv3me5ubkf7Dti47+PWPclx9noXwPY9afx9L2nRvuUnp7OALD09ML35Pvo27cv69ChA3v58iU3LzY2lnXs2JH179//vdevalX5WpGa5/TdaNZ9yXE2f/cNVYdC3lNcXBx7/PgxS0pKYjk5OSw3N5ceavLIyclhoS8S2eMXCSw9I0vl8dDj3R/Z2dksPDycRUVFMblcrvAZrejxtMI1QebPn48vv/ySK7JYltOnTyMnJwcDBw4ss93r16+RnJxcZptGjRop9PAoqwmyYMECHDt2TKH4YmRkJBo1aoTg4GClt8OUlgliY2ODxKQUmNcxqfFX2jTx6mFl9ikxPRdT/C9BJmdYObo1XGzrfNB9SsvMQsLLWNja2kIkFtfIDANNzJqgfVLNPuXk5CIqqvB7FXzhB/mOyMkvwLh1F5CeU4A5fVzQwcm61n/vqcs+FeTlVFmdi5iYGPTt2xePHj2CjY0NN8/Z2RnHjh1D/fr132v9qkY1QTTb/RfJmLvzOqxNdLF9ZmdVh0PekUwmw9OnT2FhYVGh30OkZpHK5HieUJjxb29txJ1PEfWUnp6OuLg42NvbK2SKVnlNkGXLllU4qB49elSonbm5OczNzSu83rL4+Pjgxx9/RGJiIiwsLAAAZ8+ehaGhIZo3b650ObFYXGotk6J7z0VCQYl5QOHJKDctEpY6rVNsWlf837SeWKvMaV6xaQGfV2yaD10xn5vWERVOF53UAoDWm5Pdt2NXNq3u+3Ts1gvI5AyutnXgYlvng++TrujNNI8HwZtbwHg8HgRvvld5PB54pUzzebzCFZQ3/Qaf/+7TAoVpfunTxbZVNF24H8WnaZ9on3jccL8f6jtCV6yFj1s3xtbzoThw/Tm6uRX+2K3N33vqsk8FVXi7tY2NDYKDg3Hu3DluCPBmzZrB19e36jZCSDWpa1JY+DshLRdSmZyG5lRTRTVAdHWp9pw6KpAV3jopFPCpA0QDFCVJyGSyUm+XLU+laoLk5ubi7Nmz6Ny5MwwMDBSey8jIQGBgIPz8/KqlQGp0dDRSUlIQHR0NmUzGZXzY29tDX18f3bt3R/PmzTF69Gj8/PPPiI+Px3fffYcZM2aotGArqT7JmXk4fTcaADCMRo4gRGP18WyAfVcjEJ2UhStP4tGhubWqQyIqwOPx0K1bN3Tr1k3VoRBSKaYGYoiFfORL5UhIz0U9Gp5TrfHoB7RaKnhTq0okpE5ITfC+n8NKvQv++OMP/PrrryU6QADA0NAQa9euxebNm98rIGUWLFgAd3d3LFy4EFlZWXB3d4e7uztu374NABAIBDh+/DgEAgF8fHwwatQojBkzBkuWLKmWeIhqJWfmYf7uG8iXyuFQ1wjudpSWWJbAwEC4ubmpOgyNwOPxKl0QLSoqCsbGxhVax6tXr9C6dWuu2GN4eDjatGkDBwcHeHl54dGjR1zb48ePw8PDA8OHD+eqnB8/fhxTpkypVHw1nZ5YC329bAEAq/65h/svyr6NkmiGtWvXVvhBSE3G5/Fg/SYbhEaIIdXNzMwMUVFR5bY7evQomjVrBjc3Nzx48OCdt1f8nGbNmjVlDkgBAIMHD0ZQUFCF15+VlQU/Pz+YmZkpnEsVOX78OJo2bYomTZpg4MCB3CAXb9uxcweeRTzlsiwr48aNG3B1dYWDgwO6dOmCly9fltru9evX6NWrF1q3bo1bt24p7MPs2bNhb28PV1dXuLu748svv0RBQQHu37+Pnj17Vjom8p4qUwzIy8uLHTt2TOnz//zzD/Py8qrMKmscKk5W8yWk5bDx6y6w7kuOs+Grz7LoNwUfVSE3N5c9fvyY5ebmqiyGirhw4QJzdXV97/UUFBS8fzBVuB5VAMBSU1MrtUxkZKRCQeey1jFt2jS2c+dO7u/OnTuzbdu2McYY279/P/P09OSe8/b2ZllZWWz16tVs06ZN3PyWLVuyp0+fVirGilDl+z1XImXz/rzOui85zvr8dJIr6klqrvc9ntra2io89PT0GI/HYyYmJszExITxeDymp6fH7OzsqjjyD4/OPTTfon23WPclx9mRm5GqDoW8I3U556tTpw6LjIwst12PHj3Ynj173nt7xc9pGjZsyO7evau07Y0bN1iXLl0qtf68vDwWEBDA7t69W2JwjMzMTGZhYcENpDFjxgz25Zdflroen7bt2fotu1hyZuX+/2QyGWvcuDE7f75wAIaVK1eyQYMGldp2/vz57NixYywuLo75+voyxhiTy+WsY8eObNKkSSwnp7DovEQiYb///jvLzCz8DdOvXz8WEBBQqbhqO2Wfx4oeTyvVFRYeHg5XV1elz7u4uCA8PPzde2QIKUdcSja+3BGElynZsDTWwf/GtoGNmb6qw1IgzclR+pAVK8Jbbtt3GL88NzcXQ4cORfPmzeHq6oru3bv/ty2pFNOnT4erqyucnJy4LCqpVAo/Pz94enrCyckJI0aMQHZ24ZWqwMBAODk5YeLEiXBzc8Phw4cxbtw4TJgwgctOGDt2LHJzcwEAmZmZmDx5Mlq1agUXFxdMmTIFEokEANCpUyfMmjULPj4+CnGV5cSJE9i7d6/S55cuXcpdxXBzc8OLFy8AFF6V+Omnn9CqVSvY2dlh27Zt3DK3b99GmzZt4OLiglatWuHq1asAgG+++QY//fQTAODkyZPg8Xh4+vQpAGDChAnYuXMnt45ffvkF7u7ucHBwwO7du7n5I0eOhKenJ1xcXNC7d+9yr4a8LS8vD/v27cPHH38MAEhMTMTt27cxatQoAMDHH3+MmJgYREREcMvweDwIBAKFYUKHDBlSbVl5qqKtJcCSYZ7wbmIBiVSORftu41pY5V5fol4iIyO5x48//gg3Nzc8efIEKSkpSElJwZMnT9CyZUv88MMPqg6VkHLVNaVMEE3DGEOeRFqtD1aB8SuOHTuGZs2awcXFBV999ZXCc+Hh4ejduze8vLzg4uKCdevWAQBmzZqFy5cv45tvvkGbNm0AKD+HeTubNSsrq9RbEZYsWYK4uDgMHToUbm5uCoNVFNm4cSNGjBhR0ZcYQGH9xi5dupSaBXLq1Cm4u7ujadOmAIDp06fjr7/+KtFu8+bNuHc3GD8t+gad2njj5MmTkMlkmDt3LpydneHs7IxPP/2UO2ct7s6dOxAKhejcubCo8SeffIJ//vmHy8AtjjEGPp8PfrF6bufPn0dERATWr18PHR0dAIXDu0+dOhX6+oW/YYYPH46NGzdW6nUh76dSNUGkUilev36NBg0alPr869evIZVKqyQwQt4WnZSFr3ddR3JmPuqZ6mH5KG9YGOmoOqwSTrVoofQ5i06d4L1lC/f3v61aQfamA+Ftdby90WbPnkpt+/Tp00hLS8Pjx48BACkpKdxzoaGh2LJlCzZs2AB/f398++23OHPmDAQCAfbs2YM6deqAMYbp06fjt99+w9dffw0AePLkCTZs2IAtb+I+ceIEbty4gevXr0NXVxf9+/fH6tWr8c033+CLL75A+/btsWnTJjDGMHnyZPz666+YO3cuAODp06e4dOlShQsYubm5wdfXF4wxDB8+XOG51NRU/PLLL3j16hV0dHSQk5OjcNARi8W4efMmQkND4eXlhdGjR0Mul2PgwIHYtGkT/Pz8cOXKFXz88ceIiIiAr68vli5dim+++QZnz56Fj48Pzp07BwcHB5w7dw5Lly7l1s3j8XD37l08f/4cnp6eaNu2LWxtbbFmzRqu2PPy5cuxaNEi+Pv7V/j/79atW7Czs+OKrsXExMDa2hpCoZDbboMGDRAdHQ17e3vMnz8f7dq1Q5MmTbBjxw5uPT4+PpgzZ06Ft6suREIBvh/sgRWH7+Lyk3j8sD8Y8/q7oZNzXVWHRqrZ999/jwMHDsDR0ZGb5+joiNWrV2PQoEEYOXKkCqMjpHx1TQq/1+NSc1QcCakq+QUy9Ftxplq3cXSen0JR67clJiZi/PjxuHz5Mpo3b44//viDG3lTJpNh+PDh2LVrF5o2bYqcnBy0bt0a3t7eWLt2Le7fv4/Zs2ejf//+APDe5zALFizA1q1bsW/fPqW3YAcGBuLzzz+v8DrLEx0djYYNG3J/29ra4tWrV5BKpdy5EwBMmjQJm7Zux9hJ0zBx9DCItQT4/fffcevWLdy5cwcCgQB9+/bF6tWrMW/evDK3YWBgAENDQ8TFxRWOllfM7NmzMXbsWKSlpeHXX38FUNiJ4uHhoTDa6dt8fHwwY8aM93otSOVUKhPEyckJ586dU/r8v//+Cycnp/cOipC3PYvPwJc7gpCcmY+G5vr4ZWzrGtkBomqurq548uQJpk+fjn379il0Ntjb28Pb2xtA4Zfts2fPABT2Wq9evRru7u5wcXHBiRMnFHrvGzVqhI4dOypsZ8iQITAwMIBAIMDEiRO574UjR45g5cqVcHNzg7u7Oy5fvqyQtTBq1CilHSBmZmYlHq6uroiJicGYMWOQmJio0N7Q0BBNmjTBqFGjsHHjRqSkpEBbW5t7vuhHUdOmTSEUChEfH4+wsDDw+Xz4+fkBANq1awdLS0uEhISgbdu2CAkJQW5uLi5evIilS5fi3LlzCAsLg56eHurW/e+H9qRJk7jXpkOHDrh06RIAYM+ePfD09ISzszM2b95c6lWQssTGxsLS0rLC7fv164fg4GDs27dPYd+trKwQGxtbqW2rCy0BH/MHuqNri3qQM4blh+/iTEiMqsMi1azopPZtMpkMCQkJKoiIkMqhTBBSHa5fvw4XFxduJMyJEydyP7bDwsLw6NEjDBs2DG5ubmjTpg0yMzO5C2Vve99zmIp4+zxn7dq1pZ7/mZmZ4eeff66y7cqKZcsW1QQ5d+4cxo0bB7FYDKFQiMmTJ+Ps2bPvtR1LS0ucPn0a169f5865K8LKygrJycmlZpeQ6lGpTJAJEyZgzpw5cHJyQp8+fRSe++eff/Djjz9i1apVVRogIaEv0/DtnpvIyiuAvZUhfhrpDSNd5b2pqtazjOJSPIFA4e/uN28qb8uvfOGmRo0a4fHjxzh//jzOnTuHr776ijuIFf+RLBAIuB8Ue/bswfnz53Hx4kWuwPH58+e5tkWpemUpSotkjOHgwYNwcHAotV1Z60pKSioxLzk5Gd27d8eECRO4oa+L78P169dx7do1BAYGonXr1vjrr7/Qvn37MvdXWexisRienp7Yv38/dHR00KlTJ0yZMgVnzpxB165dy9j7wnVcuXIFa9euRVBQECwsLHDs2DEsWLCgzOXepqurq3AAtLGxUbiiwRhDdHS00my8Inl5eVzKpSYS8Pn4sp8rxFoCnAyOxqp/7iO/QMYVTyWap2vXrvjkk0+wefNmtGzZEkDh1bVp06bRMLlELRRlgsSn5kAmZwrDohP1JNYS4Og8v2rfRmUUv02FMQZTU9MKdWaUdQ4jFAohk8m4tu/zQ/3t85xZs2Zh1qxZ77y+Bg0aKHRcREVFKWTQFpG8GRmGz+eBr+Szp2y0kQYNGnC3WwOFt36np6crXBwri4eHB3777TdIJBKl2SB5eXkQCARlZouQqlWpX1lTpkxB//790bdvXzRv3hwDBgzAgAED0KxZM/Tv3x8fffSRxo1KQFTrQXQK5u+6gay8AjSrb4wVo1vX6A4QABDq6ip9CN4arrnMtsV+xFdUbGwseDwe+vbti19++QWMMcTElH2VPDU1FWZmZjA0NERmZia2b99e7nYOHDiArKwsyGQybNu2jfsR0r9/f6xYsYLrcEhNTVXIBKmsCxcuYNKkSaWmCGZmZiIhIQHt27fH999/j3bt2uHu3btlrs/R0RFyuZw7YF67dg3x8fFc2qavry8WLFiArl27gs/nw93dHatWrSrxI6uoxkhUVBQuX76M9u3bIzU1FQYGBqhTpw4kEsk73dvp4uKCsLAw7m8LCwu0bNkSu3btAgAcPHgQ9evXh7192UNCP3nypMz6TZqAz+NhVi9nDPC2AwCsP/0I+689U3FUpLps3boVVlZW8PT0hFgshlgsRqtWrWBpaalx9W+IZjIz1IGWgA+pnCEpo/TbYIl64fF40BYJq/VR3jCgPj4+uH//PkJDQwEUflcW1bVwdHSEoaGhQl20iIgIhVuli5R1DmNlZQXGGJdBUrxG2tsMDQ2Rnp6u9Pm3z3PeV48ePRAcHMzt/4YNGzBs2LAS7QpkcujpGyAnK5Ob5+vri507d0IikUAqlWLz5s2l1qzz8PBAQUEBLly4AKCwrslHH32kcLGtLF26dIGdnR1mzZrFdQBJpVL88ccfyMrKAlB43ubs7KxwWzepXpV+pXft2oW9e/fCwcEBT58+RVhYGBwdHfHXX3+VWoiGkHcV/DwJ3+65iRyJFC4NTbFspDf0tStWS6K2evDgAdq2bcsNvzV69Gi4uLiUucyYMWOQk5MDR0dH9OzZk8ukKIuXlxf8/PzQrFkzGBsbY/bs2QCA1atXQ0dHB25ubnBxcUHXrl0rNEybMoMGDcK0adNKfS49PR0DBw5EixYt4OLigoKCAowdO7bM9YlEIhw6dAgLFy6Ei4sLZs+ejQMHDnAZKr6+vnjx4gXX6dGtWzfExMSgU6dOCuuRyWRwd3dH9+7dsXbtWtja2qJHjx5wdHSEo6Mj2rdv/05DEtvZ2cHS0lJhGNyNGzdi48aNcHBwwPLlyxVOZpQ5ffo0Bg0aVOntqxsej4dPujXD8HaFnUKbA0Kx6+LTChWSI+rF3NwcJ0+eRGhoKPbv34/9+/fjyZMnOHnyZIksMUJqIgGfByvjwgw9qgtCqoq5uTm2bt2KAQMGwNXVFeHh4ahTpw6AwgyO48eP49ChQ3BxceEK3eeWUouurHMYoVCI3377DX369IGXlxcKCgqUxjNr1ixMnjxZaWHUQYMG4cyZytdRcXFxgY+PDzIyMlC/fn2MHj0aQGF9js2bN6N///6wt7dHbGwsvv/++xLLF0jlGDpyLDb8+j+4ubnh5MmTmDJlClq2bImWLVvCzc0Ntra23PlscXw+H7t27cJnn30GBwcHHD9+HKtXr65w7DweDydOnIBIJIKTkxOcnZ25wUSKOlJqy3lbTcJjdLaoICMjA0ZGRkhPT4ehoaGqw6m14lNzMGXjJeQXyODZ2BwLBntUOiXwQ8jLy0NkZCTs7Owq3COs7saNGwc3N7dSDxTk/e3fvx+BgYFYv379Oy2flJSELl264Pbt21WeVlmT3+9/XYnA9guFV5fm9nOFr0t9FUdEquN4KpFIEBkZicaNG5dId66o9evXY+XKlYiPj4erqyt+++03tGrVqtzl9u7di+HDh6Nfv344cuQIN3/cuHEKhYkBwM/PD6dPn65wTHTuUTt8v/cWboYnYlYvZ/T2aFj+AqRGqcnHQHWRlZWFNm3aICgoCHp6eh9su/FpOcjIkaCOgTbqGNSs/zuJRAJPT0+cP38eZmZmqg5HbSj7PFb0eEo5N6TGYYxh7amHyC+QwbmBKRYOqZkdIIRUh8GDB6NZs2YKQ95WxrNnz+Dv71/r7isd3s4eI9s3AQBs/Pcx0nNKDnNH1FdOTg4mTpwIXV1dODk5ITo6GgDw6aefYvny5RVez759+zBnzhwsXLgQwcHBcHV1hZ+fX4nCy2+LiorCl19+qTRTrkePHnj16hX3oMxYUhoaIYbUdvr6+li9ejUiIyM/6HYL3tQEEQlr3k/fyMhILF++nDpAPrBKvRNu3rwJJycnNG7cGHv37q2umEgtF/goDneevYaWgI/P+7SASEgdIDXJ9u3bKQukms2cOfOd7wv19vZGmzZtqjgi9TCivT1szQ2QkVuATWefqDocUoXmz5+Pe/fuITAwUOGKj6+vL/bt21fh9axatQqTJ0/G+PHj0bx5c/j7+0NXVxdbt25VuoxMJsPIkSOxePHiEsMhFhGLxbCysuIeJiYmFd85UmvQCDGEFBa6dnZ2/qDbLCqMWjQyTE3i6OiIXr16qTqMWqdS74Rp06bhhx9+wLlz5zBp0iTk5+dXV1yklsrIleD3M4WFl0a0t0f9OuWPTEIIIQAgFPAxu08L8ACcvR+Lu5ElRxwi6unIkSNYt24d2rVrp1Ao0MnJiRvuuzwSiQR37txRKHTM5/Ph6+uLoKAgpcstWbIEFhYWmDhxotI2gYGBsLCwgKOjI6ZNm4bk5OQKxURqFy4TJIUyQQj5UGRyOTdErlYNzAQhqlGpd0JycjLq168PS0tL5OfnIyeHvsRJ1dpyLhTpORI0MNPH4DaNVR0OIUTNNKtvgj6ehffarz35APkFsnKWIOrg9evXpRZAzc7OLnf0hCJJSUmQyWSwtLRUmG9paYn4+PhSl7ly5Qq2bNmCTZs2KV1vjx49sHPnTgQEBGDFihW4ePEievbsqTCk5Nvy8/ORkZGh8CCarygT5FVqNuRUko+QD6LoVhgBnw8Bjb5C3qjUO+Hbb7/FqFGj0LlzZ4wdO5bSPUmVuheVjNMhhcO5zu7TokamrBFCar7xXRxhZqCNuJQc7LkcrupwSBXw9PTEiRMnuL+LOj42b94MHx+fatlmZmYmRo8ejU2bNpV5r/awYcPQt29ftGjRAv3798fx48dx69YtBAYGKl1m2bJlMDIy4h42NjbVsAekprE00gGfx0O+VI6UTMqmJuRDKJBRFggpqVKl1SdPnowePXogIyMDTk5O1RUTqYUkUhnWnngAAOjt0QBONqYqjogQoq70xFqY3sMJS/bfwf6g5+jsXA+2FgaqDou8h59++gk9e/bE48ePIZVK8euvv+Lx48e4du0aLl68WKF1mJmZQSAQICEhQWF+QkICrKysSrR/9uwZoqKi8NFHH3HzigoWC4VChIWFoXHjkhmLjRo1gpmZGSIiItC1a9dSY5k/fz7mzJnD/Z2RkUEdIbWAUMCHpbEOXqXmIC41G2aGNWuUCkI0EVcUlS6ukmIq/W6wsbGhDhBS5fZeeYbYlGyY6osxoUtTVYdDCFFzbZtaoY2jJWRyhjUn7lPquZpr164dQkJCIJVK0aJFC/z777+wsLBAUFAQPDw8KrQOkUgEDw8PBAQEcPPkcjkCAgJKzSZp2rQpHjx4gJCQEO7Rt29fdO7cGSEhIUo7LWJjY5GcnAxra2ulsYjFYhgaGio8SO1AxVHJhxAYGAg3NzdVh1Gu48ePY+rUqZVaplOnTrCzs4Obmxvc3NywevXqUtuFhIRg7969kFRTJkhgYCB0dHS4ONzc3JCbm1tq2xs3bqB169bo3bs3kpL+q1f27NkzDBo0CHZ2dvDw8ECrVq2wefNmAMC6devw008/VWnMH1pUVBSMjY0rvVzx9++7rqM8FX43ZGdX7su6su1J7fXidSb2XY0AAEz3c4K+tpaKI9J8J06cgIeHB8RicYmRXuRyOT799FM0btwY9vb2WLdundL1bNq0Ce7u7pg5cyZYsR+Z586dQ/v27dG4cWN4enqia9euuHz5conliw5QxfF4PKSlpb3X/pXF1tYWISEhlV6urLg8PT2Vpr7n5OTA09MTmZmZlV62uOvXr6NFixZwd3fHmTNnKhh1ScX3f/v27QgNDeWeu3//Pnr27PnO665ppvdwgq5IiCexaThxJ1rV4ZD31LhxY2zatAk3b97E48ePsWvXLrRo0aJS65gzZw42bdqEHTt24MmTJ5g2bRqys7Mxfvx4AMCYMWMwf/58AIC2tjacnZ0VHsbGxjAwMICzszNEIhGysrIwd+5cXL9+HVFRUQgICEC/fv1gb28PPz+/Kn8NiPqj4qhEnUil0mpdz/z587nv3MpYvXo11zn9+eefl9qm6Byz4D1Hhlm0aBG2b99e6nOOjo4KHeU6Ojqltvvuu+9w9OhRTJ48GWvWrAEAxMfHo127dvDz80NkZCTu3LmDM2fOcK/VlClTsGXLFqSnp79T3KRsFX432NvbY/ny5Xj16pXSNowxnD17Fj179sTatWurJECi2eSM4dcTDyCVM7RuYoF2zUqmJJOq16RJE2zduhVz584t8dyuXbvw+PFjPH36FDdv3sTKlSvx6NGjEu2ys7Oxc+dO3Lp1C0KhkLu6eu7cOYwePRorVqzAs2fPcPv2bfj7+5dIQQdK7wSpqKo6MFe3devWoV+/fjAweL/bMXbs2IERI0bg7t27Vfbj6u1OEBcXF4jFYpw/f75K1q9q5oY6GNfFEQCw9XwokjPzVBwReR8ymQwHDhzADz/8gB9++AEHDx6s9PfA0KFD8csvv2DBggVwc3NDSEgITp8+zRVLjY6OLvM8520CgQD3799H37594eDggIkTJ8LDwwOXL1+GWCyuVGykduAyQVKpE0RTSHNylD5kb42kWWbbvMofo3JzczF06FA0b94crq6u6N69+3/bkkoxffp0uLq6wsnJCbdv3+bm+/n5wdPTE05OThgxYgR38TowMBBOTk6YOHEi3NzccPjwYYwbNw4TJkxAmzZt4ODggLFjx3IZD5mZmZg8eTJatWoFFxcXTJkyBRKJBEBhxsasWbPg4+OjEFeRy5cvw9jYGA0bNqz0fpcnMTERCxYswIULF+DXqQ0WzPscWkI+zpw5g5YtW8LFxQUdO3bE48ePq3zbpWGMgcfjQSAQcLdVrl+/Hu3bt8fkyZO5diYmJlxmjEgkQvfu3bFnz54Kb2fz5s1KbxGVy+WYOXMmmjVrBldXV3h4eCAvL4/LtFi4cCE8PDxgb2+PkydPcsspe81GjBjBxbZhwwaIRCLufdSlSxdcunSJW8eXX34JFxcXODk54dy5cwDKfh9+EKyCQkND2cCBA5lYLGatWrVi06dPZ0uXLmW//PIL+/bbb9mAAQOYlZUVq1+/Plu/fj2TSqUVXXWNkp6ezgCw9PR0VYdSK5y484J1X3Kc9V12iiWk5ag6nErLzc1ljx8/Zrm5udy8/AIpy5NIuen8gsLpPMl/07nFp/MLmEQq46YL3kzn5BcwqaxwOjvvv+mqtHDhQvbZZ58pzOvVqxf766+/uL/nzp3Lvv322xLLZmZmsvbt27OCggI2Z84cdubMGcYYY+3atWPr168vd9sJCQnMxsaGGRoaMldXV/bJJ58wxhgDwH788Ufm5eXFbG1t2datW7llGjZsyL766ivm5eXFRowYwSQSCZs3bx7z8vJirq6ubPDgwSwlJYUxxtimTZtYs2bNmKurK3N2dmbXr1/n1vH999+z1q1bM1tbW/bDDz9w6w8PD2ddu3ZlLVq0YK6uruzw4cPccwBYamoqY4yxq1evMldXV+bk5MTGjRvHXF1d2YULF0rdz0aNGrGIiAju77KWffXqFRs8eDDz8vJizs7O3Ou+bNkyZmJiwurWrctcXV1Zamoq++KLL5inpydzdXVl7du3Z6GhoaXGyhhjderUYZGRkdz+3717l23atInp6ekxW1tb5urqyk6cOMEYY2zv3r1syJAhpe5Lae/3mk4qk7NZW66w7kuOsyV/31Z1OLVKVR5PHz58yBo1asR0dXWZu7s7c3d3596/Dx48qIJoVYvOPWqPoLB41n3JcTb9j0uqDoVUkrJj4LFGjZQ+rk+YoND2hJOT0rZXhw+vdEyHDh1i3bt35/5OTk5mjDF24cIFJhAIuHOf33//nWsnl8tZUlISNz116lS2bNkybjkej8cCAwO5dY4dO5Y1b96cZWRkMKlUyvr06cN+/PFHxhhjkydPZjt27ODWNXHiRPbzzz8zxhjr2LEj8/PzYxKJpNTYlyxZwr744otK73PHjh2Zo6Mjc3Z2ZkOGDGHPnj0rtd22bdtY3779WNjLVBb2MpXFxb1ipqam7P79+4wxxnbt2sWaNWvG5HJ5mdtbuHAh27ZtW4n5Fy5cYPr6+szd3Z15enqWee579epV1qpVK9azZ0+WmJjIGGOsZ8+ebNWqVWVue8eOHezjjz8us01xDx48YLa2tqWekwYHB7OmTZsy2ZvfE2lpaUwmk7HIyEgGgB04cIAxxtipU6eYg4MDY6zwXF3Za7ZlyxY2fvx4xhhj/fv3Zz4+PuzEiRMsOzubmZqaMolEwq178+bNjDHGgoKCmLm5OcvIyCj3fejq6soYYywyMpIZGRmV2B9ln8eKHk8rnAni6OiIgwcP4unTpxgyZAhevnyJAwcOYNOmTQgMDES9evWwadMmREVFYfr06RAIBNXQZUM0SXJmHjafewIAGNfZERZGpaeQqZt9V59hw+nCzIlt58Ow7XwYAGDD6UfYd/UZAOCXoyH45/YLAMCS/Xdw7n4sAODrXTdwLawwY2LWlqu4G5kMAJj8+0WExX2YdLjo6GiFXnlbW1tER5e8lUBfXx8jRoyAl5cXcnNz0a1bNwDAnTt3KjRag4WFBZYsWcLdX+/v7889JxaLcfPmTZw6dQqzZs1SuNqbnJyMGzduYPfu3Vi5ciX09PRw8+ZNhISEoEWLFvjuu+8AAF988QUCAgIQEhKC4OBghVpGaWlpCAoKwq1bt7By5Uq8fPkSADBy5EgMHjwY9+/fx/79+zFx4kS8ePFCIW6JRMJdTX748CGGDx+Oe/fulbqPMTExSE9P54onlrfs2LFjMWPGDNy8eRN3797F7du3sX//fnz99dfo27cv5s6di5CQEBgbG2PevHm4desWQkJCMH36dHz22WflvubFTZo0CZ6enlxKaa9evQAAPj4+CjUT1J2Az8NnvVtAwOfhSmg8gsJKZiSRmm/SpElwcnJCbGwsgoODERwcjJiYGO7KIyHqovjtMIxqFZH35OrqiidPnmD69OnYt28ftLT+u6Xc3t4e3t7eAAqP7c+eFZ6DMsawevVquLu7w8XFBSdOnFC4TbhRo0bo2LGjwnaGDBkCAwMDCAQCTJw4kbuaf+TIEaxcuRJubm5wd3fH5cuXERERwS03atQohZiKi42NVRiyPDExEWZmZqU+WrZsybX7888/ERoaivv376N9+/bo06eP0ten6DPG5/Nw69ZNtGjRgruNcuTIkYiLi+POAYtbu3YtV+fD39+fyx50c3PDgQMHAAAtW7bkjkmHDx+Gv78//v7771LjaNOmDW7cuIGTJ0/C3Nxcabxvs7KyQmxsbIn5MTExpb5OnTp1QkJCAvr371/i+6VRo0aQSqWYMGECduzYgYKCAvDfDBmsra2NgQMHAlB8r9y4cUPpa+br64uAgADIZDI8fvwYc+bMwblz53D58mW0atWK+38XCoUYN24cAKB169aoW7cu7t69W+77sLpVanQYAGjQoAG++OILfPHFF9URD6lF/P99jOx8KRysjdDXy1bV4VSZoW0bo+h7Z/ybVHygsD7Bm1Ed8WU/N/DfTC8Y7AHBm/sUl4/yhvDN9NqJbSF6U8Rp07SOEGtVrM/Sx8cH4eGlDwt69+7dKh2BYOrUqZUuaFURI0eOBFBYmFAoFCI+Ph7169cHAIwbN44bHvPIkSNIT0/HwYMHARR2Mtja2gIAunbtitGjR+Ojjz5Cz5494eDgwK1/xIgRAApHi2jUqBEiIyNhaGiI4OBgXL16FUDhLUPt2rXD5cuXFTqFQkNDIRQK4evrCwDo3r07GjVqVOp+vH2AL2vZ7OxsBAQEKNw2lJWVhbCwsFLXffbsWfz222/IzMyEXC5HSkpKua9rRVhZWSE5ORl5eXnQ1taMkQsaWRri49aN8Pe1Z1h3+iFcbetAV1zpwx9RoZCQENy+fRsmJibcPBMTE/z444/w8vJSYWSEVI6ViS54AHIkUqTnSGCsR7dNqbueDx4ofY731kXh7jdvKm/Lr3zNikaNGuHx48c4f/48zp07h6+++or7IVn8GC4QCLgLSnv27MH58+dx8eJFGBoaYu3atQq3werr65e73aLzMMYYDh48qHCOVVxZ69LV1UVesVuALCwsFIqGKlN0Hsvj8TBz5kx8+eWXSE5ORp06dUq0LSqKLhLwuZgrYtasWZg1axaAwpogtra23A/5IsULWtevXx/Dhw/H5cuXMWTIkAptw8PDA0FBQUprmgBAXl5eqXVGbGxsSn2tIiMj4efnh59//rnE/hoZGeHhw4e4ePEiLly4gPnz5+PSpUsQCoUQi8Vce4FAAJlMVm78DRo0gFgsxu7du+Hh4YGuXbvixx9/hEAgUDoyWhEej1fu+7C60VhBRCWuP03ApcevwOf9d5VWU4iEAoi1BNy0SFg4Ldb6b1q7+LRIyBVr0hYJuU4QHZEQgjcHRF3xf9PlCQoKQlJSUqmPinSANGjQQCH7ISoqCg0aNKjQtoH/vtTfh7IDN6B4QGWM4bfffuMKUj1+/Ji7j/HgwYNYvnw5CgoK0KtXL4XaI2Wtv7iKHjCVtXv7AF/WskU99tevX+f2JyIigstsKS46OhozZ87Erl278PDhQ+zdu1dhO28fwMqLobi8vDwIBAKIRKIKL6MORnZoAmsTXSRl5GHr+dDyFyA1ioODQ6l1hRITE2Fvb6+CiAh5NyKhAOZvMl9f0ggxGkGoq6v0IXirNlCZbd/hwkNsbCx4PB769u2LX375BYwxxMTElLlMamoqzMzMYGhoiMzMTKVFP4s7cOAAsrKyIJPJsG3bNu5iTv/+/bFixQruPCo1NVUhE6QsLi4uSi/0KCOVShWOBQcPHoSlpWWpHSCGhoZcUVEtoQCtW7fGgwcP8PDhQwDA3r17Ua9ePdSrV69SMRR59eoVV98jMzMTx48fh7u7e4WXnz59Oi5evIht27Zx89LS0rBx40bu7ydPnsDV1bXC6zx27Bh++eUX9O/fv8Rzr1+/RnZ2Nrp3746ffvoJtra25dZEKe818/X1xYIFC+Dr6wsTExNoaWlh//793PsDKPw/+/PPPwEAN2/eRFxcHNzc3N7pfViVqBOEfHCBD+Pw48FgAMDA1nawtzZScUSkuMGDB2PTpk2QyWRISUnBvn37MHTo0Aov//3332Pp0qW4fv06N+/Zs2dc+mBxxQ9Q76J///5YvXo1cnIKC8zl5OTg0aNHkEqlePbsGTw9PfHll19i0KBBuFnG1RcAMDAwQMuWLbmDUUREBK5cuYIOHTootGvatCmkUikuXLgAoLAQbFHa4NscHR2RmJjIFRAra1l9fX107twZy5cv55aPi4srNQ0yPT0dWlpasLa2BmOsxAg+9vb2uHHjBgDg0KFDSgtNlfb6P3nyBM7OzlyKpKbQ1hLg017OAIB/br/A72ceQfbm5IXUTBkZGdxj2bJlmDVrFg4cOIDY2FjExsbiwIEDmD17NlasWKHqUAmpFBohhlSVBw8eoG3btnB1dYW7uztGjx4NFxeXMpcZM2YMcnJy4OjoiJ49e6J9+/blbsfLywt+fn5o1qwZjI2NuZEFV69ezQ0T6+Ligq5duyIqKqpCsffp0wdXr16tUNZBkfz8fPTu3RstWrSAq6srNmzYgGPHjpXatmvXrsjLy8dHvm0x/4vPYG5ujt27d2PMmDFwcXHB77//jv3791cqQ6S4gwcPcnG0bt0a3bp140Yaqwhra2tcuXIFx48fh52dHff6Fb996PTp0xg0aFCF1/nZZ5+hb9++pT4XExODbt26wcXFhRvxrLwRAct7zXx9ffHixQuu08PX1xfZ2dkKHTdFGSiurq4YP3489uzZAwMDg3d6H1apMiuG1EJUnKz6yOVy9mdgGOu+5DjrvuQ4+/6vm1wBUXWljoUiGWPs3LlzrF69eszAwIDp6+uzevXqsaNHjzLGGJNKpWz69OnMzs6ONWrUiK1Zs6bS6z99+jRr27Yta9y4MXN2dmZdunRhly9fLtEuLS2N+fj4sBYtWigURi2vqGeRgoIC9v333zNnZ2fWokUL1qJFC7Zr1y6Wl5fH2rdvz5ycnJirqyvz9fVlMTExpa7Dw8ODKyBVVBjVxcWlQoVRnZ2d2fjx48ssjDpw4EB2/Phx7u+ylk1ISGAjR45kTk5OzNnZmXl7e7OQkBDGWGFhstWrV3PrmTVrFrO1tWUeHh7shx9+UCgadfLkSWZvb8/c3d3Zd999p/Q1/Oeff5iDg4NCYdRFixYpFIstTl3f78XtuxrBfQd9s/sGy8otvWAbeX/vezzl8XiMz+dzDx6PpzCv+N/qjs49apc1x++z7kuOs+0XQstvTGoMTTgGvou3zz+q0vTp09nff/9dLetmjLGYpEwW9jKVpWfnV9s2qsujR49Yu3btVB1GjfW+hVF5jFFVpuIyMjJgZGSE9PR0hXu9yPvJL5Bh1T/3EfgoDgDwcWs7TOzaTO1vg8nLy0NkZCTs7Ow0pn4CqVo3b97EkiVLcPz4cVWHUi6JRAJPT0+cP38eZmZmJZ7XlPf75SevsPJICPKlcjQ018eSoV6wenNlllSd9z2eKhvmrzRvF/FTN3TuUbvsv/YMmwNC0cmpLuYPrHj6PFEtTTkGVta4cePg5ubGZX9UpeTkZJw6dQqjRo2q8nUDQGRCBgpkctiY6UNHpF61wM6cOQMbGxs0b95c1aHUSMo+jxU9nlbq3bBkyRJ8+eWX0NWlk0VScSlZeVj89x2EvkyDgM/DrF7O6OFe8RoThKizVq1aYeDAgcjMzISBgYGqwylTZGQkli9fXmoHiCZp38waVsa6WLjvFl68zsKsrVexcIgHnGxMVR0aKUbdOzYIUaauqR4AIC6VaoKQmq86azXUqVOn2jpA5IyhQFZ422tR7T114ufnp+oQNFqlOkEWL16MqVOnUicIqbDnCRlYsPcWXmfkwUBHC98P8oCrbcniRYRosgkTJqg6hApxdHSEo6Nj+Q01QBNrI6yd0A4L991CRHwG5v15A7P7tICvS31Vh0beuH//foXblncPPCE1CdUEIaT6FUgLO0D4PJ7aZ56TqlepThC6c4ZUxvWn/2/vzsOiKts/gH9nBmaGZdh3ZFfBDVEQwi01BNs19dUszSXNsk00l1xS6xdmvmaZvra5lJa2mFmWqailSe6IG6gkorIIsgzrsMz5/YFzdJJddID5fq5rLplznjncZ8ZhnrnP/TxPJmK2nEBpeSXa2Flg0cgecLe3MHRYREQAAAcrJf77XDiW/HQSfyVm4P2fTuJKdiGe6+8PaSMnSqOmExQUBIlEUmffQyKRNGhiPSJDc72ZBCksLYe6pAxWZq1rNS6i5kCsAjFp2PK4ZBwaPDiK/4moLoIg4Ie/L+Hz3ecgAAjyscfcocFQmZnW+VgiovtJKTfB3GHdsX5vEjb9lYxNfyXj6o0ivPFkVyhb2Pjh1ubSpUuGDoHonlDKTWBnqUBOoQbpucVMgrQwWq4s1iLoKkFa4lAYqtvdFmc0uIfXvn37OhMhOTk5jQ6IWr6N+y/iqz/OAwAe6e6JKYM6wYR/gIiomZJKJBg3IAAeDpZY/sspHEjMgLqkDP83KhRyE5mhwzNaXl5ed2w7e/YsUlNTUVZWJm6TSCTVtiVqzlxtzcUkiL+bjaHDoXqQy+WQSqVIS0uDo6Mj5HI5Lw43Y8UlpaisKAO0VZNoUushCAKysrIgkUj0lhRuiAYnQRYuXAhra+tG/TJq/X6PvyImQJ6PCMCwB3z5AUFELUJEYBu42Jhj3jdHkHA5B8t+TsCMwUEcGtMM/PPPPxgyZAhOnTqlN0RG9/nC4TDU0thYKAAABSVldbSk5kIqlcLHxwfp6elIS0szdDhUh/ziMpSWVaLYzBT5ClZ2tjYSiQRt2rSBTNa4i1UN/h8xcuRIODk5NeqXNVZKSgrefvtt7NmzBxkZGXBzc8Ozzz6LOXPmQC6/VUKYkJCAKVOm4MiRI3B0dMQrr7yCGTNm3NdYjdmx5Cx8uP0UAGBELz8MD/czcERUkwULFmDlypVwd3cHAHTq1AkbN26stu1nn32GVatWoVevXlixYoX4pWP37t1YuHAh0tLSYGtrC2trayxYsAB9+vTRe3x8fDwSExMxcuRIcZtEIkFubi5sbGzuyfl5e3tj69atCAoKatDjaosrJCQES5cuRb9+/e7YV1xcjL59+2Lv3r01rgCTkpKCoKAg5OXlNSime61Pnz748ssv4ePjY+hQmoXOnnaYO7w75n1zBHtPp8HJygzjHwowdFhG77XXXoOPjw9iY2Ph4+ODQ4cOIScnB9OmTcPSpUsNHR5Rg+mGCKuLyw0cCTWEXC6Hp6cnKioqmHxt5j74JQFnUnMwtr8/Ovm4GjocamKmpqaNToAADUyCGOqKfmJiIrRaLT755BO0bdsWp0+fxsSJE1FUVCR2ftRqNSIjIxEREYHVq1fj1KlTGD9+PGxsbDBp0iSDxG1MkjPy8fb3x1CpFTCgsxvG9TeOFSZasmeeeQbLly+vtU1RURG+/PJLHDlyBNOnT0dsbCwiIiKwe/dujB49Gj/88AN69uwJALhw4QJOnjx5xzHi4+OxdetWvSRIfVVUVMDEpPln7z/++GM8+eST92UJ3KZ6TnTHmTZtGt566y18+eWXTRBd6xDs64jXH+uC/25LwOaDyXCyMcNjwRxuYUhxcXHYs2cPHBwcIJVKIZPJ0Lt3b8TExODVV1/FiRMnDB0iUYPo5gEpKGUSpKXRleA3tgyf7o/0/HJkFVXCwtwcSqXS0OFQM9OgiRoMtTrMoEGDsHbtWkRGRsLX1xdPPPEEpk+fji1btohtNm7ciLKyMqxZswadOnXCyJEj8eqrr2LZsmUGidmYXM8vwdxvjqCkrBJdve0R/URXDoFpJQRBEF9LmUwmTga2cOFCzJs3T0yAAEC7du0wbNgwvcdfv34d8+fPx969exEUFITJkyeL+1atWoXQ0FD4+Phg7dq14nZvb2/MnDkToaGheO6551BeXo5Zs2YhNDQUQUFB+M9//oPc3FwAwOeff46OHTsiKCgIXbp0waFDh8TjbNmyBeHh4fDx8cE777wjbr948SIiIiIQGBiIoKAgbN26tdpzP3jwIIKCgtC5c2eMGzcOFRUVNT5Pn3zyCUaNGgWgasK0l19+GR06dEDXrl0RHBysNxb1rbfeQnBwMNq2bYtff/1V3P7MM88gJCQEgYGBePTRR5GRkQGgqoLExsYGM2fORPfu3fHxxx9jwYIFGDp0KAYMGICAgAA8/vjjuHHjBgDU+nyNHTsW48ePR9++fdG5c2cAwKOPPorffvsN+fn5NZ6fMYrs6oHRD7YHAKz87TT+Pp9p4IiMW2VlpZhkdHBwEEvRvby8kJSUZMjQiBpFVwnC4TBE90ZBadV7iwszUHUalATRarX3fShMTfLz82FnZyfej4uLQ9++ffWGx0RFRSEpKUn8AlAdjUYDtVqtd6P6Kywtx9xvDiOnUAMvR0vMHx5s9LMwV2o0qLz5pbdSo0GlRlP1c2mp+HNFScmtn4uLob05yV9FcTG05VVXhSqKiqC9+cW7orBQ/LmpfPfdd+jatSsGDBiAvXv3VtvG0tISo0aNQo8ePVBSUoKBAwcCAI4dO4bw8PA6f4eTkxMWLVqE/v37Iz4+HqtXrxb3KRQKHD58GL/99hteffVVvSTDjRs3cOjQIWzcuBHvv/8+LCwscPjwYcTHx6NLly6YO3cuAGDatGmIjY1FfHw8jh8/jk6dOonHyMvLQ1xcHI4cOYL3338f165dA1CVbBg+fDgSEhLw3XffYcKECbh8+bJe3GVlZRgxYgSWLl2K06dP4+mnn662ygUArly5gvz8fPj5VQ3/OnnyJGJjY3HmzBmcPHkSe/bsEf8u5efnIzAwEMeOHcPHH3+MqVOnisdZvnw5jh49ioSEBPTp0wcLFiwQ9+Xn56NTp044fvw4Xn/9dQDA/v378fXXXyMxMREeHh6YPXs2ANT6fOleu+3btyMxMRFAVTlhly5dsH///jpfT2PzTJ+2GBTkAa0AvLvlBJLS8gwdktHq3Lmz+B4MCwvDkiVL8Ndff2HRokXw9fU1cHREDScOhylhJQjRvaAbasYkCFWnRX5bvXjxIlasWIEXXnhB3JaRkQFnZ2e9drr7uiuq1YmJiYG1tbV48/DwuDdBt0JlFZVY+O1RXM4qhL1KgXeeDoWlkn9oLq5ejdMLFwIAEpcuReLNIVunFy7ExZtJgPg33kDKhg0AgKMvvYQrP/4IAPh7zBhk7NoFANg/dCiyDx4EAOyNikJeQkK9fn94eDgcHByqvV25cgUAMHnyZKSkpODkyZN4++23MWLEiDsSATqTJ0/GiRMnsGrVqiat8HnmmWcAAAEBATAxMdF7n44dO1b8XVu3bsWGDRsQFBSEoKAgfPPNN+LSmQ899BBGjx6NDz/8EJcuXYKlpaV4DF1lhoODA3x9fXHp0iUUFBTg+PHjmDBhAoCq6pXevXvfkQBITEyEiYkJIiIiAECsQqvO1atX9f72+Pr6oqKiAuPHj8f69etRXl4OqbTqT61SqcRTTz0FoOp1Sk5OFh/39ddfIyQkBJ07d8bnn3+O+Ph4cZ+pqSmeffZZvd/76KOPwsXFBQAwadIk7N69u87nCwCGDx9+x7AdFxcXXL16tdrzM2YSiQSvPNIZwX6O0JRXYv6mI0jPLTZ0WEZp7ty5YiXaokWLcOnSJfTp0we//vorPvroIwNHR9Rw4nAYVoIQNblKrYCim0PNuAQ1Vcegg+1nzZqF9957r9Y2586dQ0DArUnprl27hkGDBmH48OGYOHHiXccwe/ZsREdHi/fVajUTIfWgFQQs+zkBCZdzYC43wdsjQ+FkbWbosJqFtpMnAzeHjgVMny5u7/zWW8DNL/ZB778Pyc0vxiGrVkF6c46HB778EtKbY0z7/PADpIqq2eP7//47pPUczxgXF1dnG92XZwDo1asXunXrhqNHj9Z7mcng4GDExcWhW7du9WpfndvHZ8pkMr1KkNuTGYIgYMWKFYiMjLzjGD/88AOOHTuGffv24ZFHHsE777wjzj1S2/FvV9/ETk3tzM3N9Ya7WFtb4/Tp0/jjjz+wd+9ezJ49G3/++SdMTEygUCj0hhfpJlU7cOAAPvroI8TFxcHJyQnbtm3D/Pnz9X6HLpFSV3y1PV+A/nOrU1paCjMzvn+rYyKTYu7Q7njjyzhczFBj7teH8cG4nrAyZ6fqfoqKihJ/btu2LRITE5GTkwNbW1sOv6QW6dZwGFaCEDW1Ik05dJM4WLIShKph0EqQadOm4dy5c7Xebr/6mpaWhv79+6Nnz5749NNP9Y7l4uKCzEz9Mdu6+7d/4fs3hUIBKysrvRvVbd2eJOw9nQaZVIK5w7vDz4XPm45MoYDs5hdwmUIB2c1EhkypFH82MTO79bO5OaQ3h0uYmJuLSRATCwsxOWJiaSn+3BRuv+p/4cIFcdhEfc2bNw/vvPMO/v77b3FbcnIyvv/++zvaWllZ3dV8E4MHD8YHH3yA4uKqK/DFxcU4c+YMKioqkJycjJCQEEyfPh3Dhg3D4cOHaz2WSqVC9+7dxTlILl68iAMHDqBv37567QICAlBRUSEOE9q9e7de1cbt/P39cf36dZSUlAAAsrKyUFRUhMjISLz77rvw9vbG2bNna40rNzcXKpUK9vb2KCsrwyeffFLn8/Lrr7+Kf+M+//xzsWqlpuerNufOnUPXrl3r/J3GylxhgkUje8DJ2gxXc4rw1uaj0JRzVQBDs7OzYwKEWiyVkkkQonul4OZQGDO5zOiH6VP1DFoJ4ujoCEdHx3q1vXbtGvr374/g4GCsXbv2jqui4eHhmDNnDsrLy8XZmnft2gV/f3/Y2to2eezG7Oejl7H5YNUXwtcf64Jg3/q9htR8zJkzB8eOHYOJiQlkMhlWrlyJ9u3b1/vxkZGRWLt2LaZPn46MjAyYmZnByckJC28OA7rdQw89hKVLlyIwMBA9e/bUmxekPmbOnAmNRoOwsDDxC8/MmTPRtm1bjB8/Hjk5OTAxMYGjo6PeBKs12bhxIyZPnoyPP/4YEokEn3/+OTw9PfXayOVybN68GS+99BIqKyvRo0ePGpMESqUSkZGR2LNnDx599FFcuXIFEydORHl5OSorK9GrVy88/PDD4pwk1Rk0aBA2bNgAf39/2NvbIyIiotb2QNXStqNGjcK1a9fQrl07rFu3rtbn6/b5Um6XkpKCyspKJkHqYK9S4p2neyB63UGcvZqL97bGY87Q7pBJ+SWciBpOV01WUFIGrSBAyoQeUZPRTYrKoTBUE4lgqCVfGuDatWvo168fvLy8sH79er01gXVVHvn5+fD390dkZCRmzpyJ06dPY/z48fjggw8atESuWq2GtbU18vPzWRXyL8WaCny66yx+O1E1r8ToB9vj2b7tDByVYZWWluLSpUvw8fHh8ltG7PDhw1i0aBF++eWX+/L7FixYgLy8vDqXOK6PWbNmoW3btnj++efrbMv/70DC5Rt4c+NhlFdq0aGNDaY93hUeDncOMSJ+njYEnyvjoymvxBOLdwAAtrwRCQvOqUbUZI5cvI653xxBWxcrrJzYx9Dh0H1U389Tg1aC1NeuXbtw8eJFXLx4EW3atNHbp8vhWFtbY+fOnZgyZQqCg4Ph4OCA+fPnNygBQjU7cSkbH/ycgMz8qpL/4eG+eKZPWwNHRdQ8hIaG4qmnnkJBQcEdk442d25ubhg/fryhw2gxAr3s8eZT3fD+tpM4dzUPL322H+P6+2NwmA+v5BJRvSlMZVCYSKGp0EJdUs4kCFETUhdXVYJwPhCqSYtIgowdOxZjx46ts11gYCCXeWxiJWUV+CI2ET8frVo5xMXGDNOe6IpAL3sDR0bUvNzPRMLty+ferVdffbXJjmUsega44BNXa3zwSwKO/5ONT3adw19JmYh+PBDudhaGDo+IWgiVuRwadSkKSsrgamtu6HCIWo0CrgxDdeBMMVSjU5dv4MVP94sJkMeCPbH6hb5MgBCR0XOyNsO7o0Lx6iOdoTSV4XRqDl78dD9+OpICbfMfZUpEzQAnRyW6N3TvKRUrQagGLaIShO6v0vJKrN2TiJ8Op0BAVWd/6mOB6O7rYOjQmq0WMLUO0V3TarWGDqFZkUgkeDTYC8G+jvjvzyeRcDkHq3acwV+JGYh+PBAuNryyS0Q1031BU5eUGTgSotZF955ScZgZ1YBJENJz7mou3v/pJK7lFAEABnXzwKSBHWCh4B+R6piamkIikSArKwuOjo5crpFaJUEQUFZWhqysLEilUsjlLC+9nYutOd4b/QB+PnoZX8Qm4mTKDUz+5E9MGtgRD3fz4N8FIqqWrlSflSBETUv3ntKtwkT0b0yCEABAKwj4Pu4frN2TBK0gwEGlxOuPdUGPtk6GDq1Zk8lkaNOmDa5evYqUlBRDh0N0T5mbm8PT0/OOJcoJkEokeLKHN0L8HPHfbSdx5kouPtx+Csf/ycLUxwI56SER3UFXCcIkCFHT4nAYqguTIIS8Ig2WbjuJIxezAAAPdnTFq492gSU77fViaWmJdu3aobycnRhqvWQyGUxMTFjVUAd3Owu8PyYcWw5VJZX3n8vAhfR8zBnaHe3dbAwdHhE1I6qblSAcDkPUtG4Nh2ElCFWPSRAjd+ryDcT8eAI3CjSQm0jxYlQnlm83gkwmg0wmM3QYRNQMyKQSDA/3QxdPO7z7wwlk5JVg6tqDeD6iAwaHevPvKxEBAKxYCUJ0T9waDsMLulQ91jQbqUqtgK/3X8CMr/7GjQINPOwt8NH4Xnikuyc76ERETSDA3RYrJ/ZBL39nVGgFrN55Fgu/PcarvkQE4LbhMKVMghA1JXE4DKvaqQZMghihnMJSvPn1Iazfdx5aAYgIdMeK53vDx9nK0KEREbUqKjNTzBsejJcGdYKpTIq485mY8tkBnLuaa+jQiMjAdMNhCoqZGCVqKpVaAUWlujlBOByGqsckiJE5cSkbL316APGXbkBhKsP0J7rijSeDYCbnyCgiontBcnPS1A/G9YSrrTmu55dg2vo4fHcwGVour01ktDgchqjpFZWWQ/fJyolRqSb85mskLqTn47uDyfjzbDoEAN6OKrw5tBu8HFWGDo2IyCi0c7XGyom98eEvp/DH2XR8HpuIP8+lY0RPP4T7u0Am5VBEImMiVoJwOAxRk9ElFc3lJjCR8Xo/VY9JkFZMEAQc/ycb38YlI/7SDXH7oG4eeDGqE5SmnMiTiOh+slCYYvZT3RDk44DVv5/B+bR8vP39cbjbWWBYuC8iAt0hN+HfZiJjcGuJ3DJoBQFSzslGdNfElWFYBUK1YBKkFaqo1OLPs+n4Lu4f/JOpBgBIJRL06+SKYeF+8HPh3B9ERIYikUjwSHdPhLd3xrYjKdh29DKu5RThw+2nsH5fEp7s4Y3HQrxgxbHMRK2a7kuaVgCKNRWw5CSORHdNnBSVSRCqBWuEWpHSsgpsPXwJ41fuw3tb4/FPphoKUxkGh3pj3cv9MHNINyZAiIiaCVtLBZ7r748Nrw3A5MiOcLI2Q15RGdbvO4/RH+7B6p1ncT2/xNBhtjorV66Et7c3lEolwsLCcPjw4Xo9btOmTZBIJBg8eLDedkEQMH/+fLi6usLMzAwRERG4cOHCPYicWhu5iQyKm1W5nBeEqGkUiJUgvJBANWMlSCuQnKHGjvhU7Dl1DYWlFQAAa3M5BofyaiIRUXNnJjfBkDAfPB7ihT/PpuPbg8m4dL0APx66hJ8Op+CB9k4Y1M0DIX5OnDfkLm3evBnR0dFYvXo1wsLCsHz5ckRFRSEpKQlOTk41Pi4lJQXTp09Hnz597ti3ZMkSfPTRR1i/fj18fHwwb948REVF4ezZs1AqlffydKgVUJmZQlNeCXVJGVxtzQ0dDlGLp2YlCNUDkyAtVLGmAvvOpOG3E6k4n5Yvbne1NcewcF8MDGwjXl0gIqLmz0QmxYAu7ujf2Q3H/snGtweTcTLlBg4mZeJgUiYcrJSI7NoGg4I84GzDL0uNsWzZMkycOBHjxo0DAKxevRrbt2/HmjVrMGvWrGofU1lZiWeeeQYLFy7E/v37kZeXJ+4TBAHLly/H3Llz8eSTTwIAvvzySzg7O2Pr1q0YOXLkPT8natlUSlNkq0tZCULURDgchuqDSZAWRBAEJF7Lw28nUvHHmXSUllcCAEykEoT7u+Dhbh7o5uvAibWIiFowiUSCED9HhPg5IuV6AXbEX8HuhKvIVpfi6/0X8c3+i+ju64CHu3niAX9nmHL2+3opKyvDsWPHMHv2bHGbVCpFREQE4uLianzcokWL4OTkhAkTJmD//v16+y5duoSMjAxERESI26ytrREWFoa4uDgmQahOVuY3V4i5WcJPRHenoLTqvcRKeKoNkyDNXF6RBklpeUi6lo+/EjOQklUg7mtjb4GHu3kiItAdNhYKA0ZJRET3greTCpMjO2L8AH8cTMrEbydSEX/pBo79k41j/2TD2lyOvh1d0bGNLfzdbeBmaw4JE+HVys7ORmVlJZydnfW2Ozs7IzExsdrHHDhwAF988QXi4+Or3Z+RkSEe49/H1O2rjkajgUajEe+r1er6nAK1Qqqbk6GqWQlC1CTUxawEoboxCdKMlJRV4GJ6PhJvJj3Op+Uh81+T4ilMpOjb0Q2Dunmgk4ctO7tEREZAbiJDv05u6NfJDem5xdhxIhU7T15FTqEGPx+9jJ+PXgYAWCpN4e9mDX83G/i726C9mzXsLDkvRWMUFBRg9OjR+Oyzz+Dg4NCkx46JicHChQub9JjUMt1aJpdJEKKmUFDKJAjVjUmQe6ysohI3CjRQl5RBXVyGgpJy5BeXQV1S9bO6uAzqknLcKCjF1RuF0Ar6j5cA8HCwhL+bDTp52qJPB1cuoUZEZMRcbc0xbkAAxvRrjyMXs3DiUjaSruXhYoYahaXlYpWIjqOVEq625lCZyWFlZgorMzlU5lX/WpnJYWVuCpWZHPYqBSwUrffzxcHBATKZDJmZmXrbMzMz4eLickf75ORkpKSk4PHHHxe3abVaAICJiQmSkpLEx2VmZsLV1VXvmEFBQTXGMnv2bERHR4v31Wo1PDw8GnVe1LLpSvY5HIaoaejeSxwOQ7VhEuQeO52ai9kbD9W7vYOVsuoKnpsN/N2t0c7VulV3SomIqHFkUikeaO+MB9pXDcUor9Qi5XoBEq/lISktD+fT8pCaVYgsdSmy1KV1Hm94uC+ej+hwr8M2GLlcjuDgYMTGxorL3Gq1WsTGxuLll1++o31AQABOnTqlt23u3LkoKCjAhx9+CA8PD5iamsLFxQWxsbFi0kOtVuPQoUN48cUXa4xFoVBAoeAwVmIlCFFT48SoVB9MgtxjVmamUJhIoTKXw1rv6pvualzVz9bmcvg6W8FexbJlIiJqOFOZFO1cq5Lnj8MLQNVKYskZ+bcqEkvKUXCzMlFdUq5XlaiboLE1i46OxnPPPYeQkBCEhoZi+fLlKCoqEleLGTNmDNzd3RETEwOlUonOnTvrPd7GxgYA9La//vrreOedd9CuXTtxiVw3Nzcx0UJUm1tJEFaCEDUF3XtJxcp5qgWTIPeYn4sVts1+2NBhEBGRETJXmKCLl3292gqCUHejFm7EiBHIysrC/PnzkZGRgaCgIOzYsUOc2DQ1NRVSacNW25kxYwaKioowadIk5OXloXfv3tixYweUSl7UoLrdGg7DShCiu1WpFVBYWgEARpHYp8aTCMbQ62kAtVoNa2tr5Ofnw8rKytDhEBERtUj8PK0/PlfG69TlG5j+5d9wt7PAmin9DB0OUYuWX1yG//x3FwBg+5sPw4RLyBud+n6e8n8GEREREZEBqDgxKlGT0b2PzOUmTIBQrfi/g4iIiIjIAHRzghSWlkPL4myiuyJOimrO+UCodkyCEBEREREZgC4JohWAoptzGRBR46g5KSrVE5MgREREREQGIDeRQWEqA8AhMUR369byuJwUlWrHJAgRERERkYFY6ZbJLeUKMUR3Q5cE0b2niGrSYpIgTzzxBDw9PaFUKuHq6orRo0cjLS1Nr01CQgL69OkDpVIJDw8PLFmyxEDREhERERHVTXfVWl3MShCiuyEOh2EShOrQYpIg/fv3x7fffoukpCT88MMPSE5OxrBhw8T9arUakZGR8PLywrFjx/D+++9jwYIF+PTTTw0YNRERERFRzXRf2HRXsYmocTgchurLxNAB1NfUqVPFn728vDBr1iwMHjwY5eXlMDU1xcaNG1FWVoY1a9ZALpejU6dOiI+Px7JlyzBp0iQDRk5EREREVD0OhyFqGhwOQ/XVYipBbpeTk4ONGzeiZ8+eMDWt+k8eFxeHvn37Qi6/lfmLiopCUlIScnNzDRUqEREREVGNdFetWQlCdHd0iURWglBdWlQSZObMmbCwsIC9vT1SU1Px008/ifsyMjLg7Oys1153PyMjo8ZjajQaqNVqvRsRERER0f2gW86Tq8MQ3Z2CYs4JQvVj0CTIrFmzIJFIar0lJiaK7d944w2cOHECO3fuhEwmw5gxYyAIwl3FEBMTA2tra/Hm4eFxt6dFRE1IW1GB8oKCO27a8ltXzLRlZajUaAwYJRERUeOozDknCFFTuFUJwiQI1c6gc4JMmzYNY8eOrbWNr6+v+LODgwMcHBzQvn17dOjQAR4eHvj7778RHh4OFxcXZGZm6j1Wd9/FxaXG48+ePRvR0dHifbVazUQI0T1WUVyM4itXUHT5MoqvXkVZTg7K8/PhO348LH18AACXN23C2cWLUVFQUO0xenz6KVweeggAcO2XXxD/xhuQmZnB1NoachsbmFpbiz97jhgB26Cgqt9dUgJtaSlMbWwgkUjuy/kSERHVxEocDsNKEKK7USCuDsPhMFQ7gyZBHB0d4ejo2KjHarVaAFXDWQAgPDwcc+bMESdKBYBdu3bB398ftra2NR5HoVBAoVA0KgYiqpm2vBwFFy7A3MMDpioVACD1+++R+N//QnP9erWPcYmIEJMgEhOTGhMgNaksKUFlSQlK/zUEzvHBB6H7K5D15584+tJLMFGpYOHlBQtPT5h7eVX97O0N606dYGJu3rCTJSIiaiTdcBg1K0GIGq1Sq0VhaQUAToxKdWsRq8McOnQIR44cQe/evWFra4vk5GTMmzcPfn5+CA8PBwCMGjUKCxcuxIQJEzBz5kycPn0aH374IT744AMDR0/U+gmVlShMTkbeqVPiTX32LLRlZQj94gs49+sHAJCamooJEFMrq6rkg4cHFA4OMLWxgfltVVguERGw27ULptbWMLG0vKNqQ2Jy689XmyefhMvAgSjPy0NZXh7K8/P1/rXy9xfblt78/RUFBcg/fRr5p0/rHbfbsmVo8+STAICS9HSUpKfDumNHyJTKpnvCiIiIblKZc2JUorulS4AAHA5DdWsRSRBzc3Ns2bIFb731FoqKiuDq6opBgwZh7ty5YhWHtbU1du7ciSlTpiA4OBgODg6YP38+l8cluscydu3C8ehoVBYX37HPRKVCZUmJeN+xTx/0+fFHmHt6Qm5jU+tx5TY2dbbRkchkMFWpYKpS6SVSquMzejQ8hw9HcWoqilJTq4bk3Py34MIF2HTpIrZN274dZ2NiIJHJoGrfHjZdusC2Wzc49OoFc3f3esVGRERUG06MSnT3dO8fc4UJZNIWtfYHGUCLSIJ06dIFe/bsqbNdYGAg9u/ffx8iIjIu2rIy5Jw4gey//kL2wYPweuYZeAwZAgAwc3NDZXExZObmsO7UCTaBgbDp3Bk2gYEw9/LSq+BQ2NlBYWdnqNMQyZRKqNq3h6p9+1rbCVotFA4O0GRnQ33uHNTnziH1228BABZeXgj9/HNY3jZvERERUUPprloXlpZDKwiQcr4qogbTDSdjFQjVR4tIghDR/SUIAgrOn0fWX38h+8AB3Dh8WK+iw9zDQ0yCqNq3R7/ffoOlnx8kMpmhQr4n2k6aBL+JE1GakVE1zCchATcOHULeyZMoSU+HmZub2PbSV19Bc/06HHr1gl337pDKOSkXERHVTfelTSsARaUV/BJH1Ai6ShArTopK9cAkCBHdQXP9Ov545BG9bXI7Ozj26gWH3r3h2LOnuF1qalpnRUVLJpFIYObqCjNXV7hGRgIAygsKUHD+vN48IambNkGdmIgLq1bB1MoKzhERcHv4YTj06gUZJ18mIqIayE1kUJrKUFpeiYKSMiZBiBqhgJUg1ABMghAZMUGrRe7x40jbsQMVBQUIeu89AIDS2RkO4eGQmJjAsXdvOPTqBSt/f0g4xhIAYKpSwS44WLwvCAJ8x49H1oEDyDpwAGU5Obi6ZQuubtkCE0tLtBkyBF0WLDBcwERE1KypzExRWl4JdUk53OpuTkT/Ig6HUTIJQnVjEoTIyAhaLW4cOYL0335D+u+/i6u1SExM0HH2bHEy0ge++uqOFVmoehKJBB5Dh8Jj6FAIlZXIOXas6vnduROlGRl6k8YKgoCMnTvh2LcvTMzMDBg1ERE1F1ZmcmSpSzk5KlEjicNhzDkchurGJAiREbny/fc4//HHKL5yRdxmolLB+aGH4DZoEGS3fSlnAqRxJDIZ7ENDYR8aik7z5iE3Ph4mFhbi/vzTp3H0pZdgYmkJt8ceg+ewYbAJCuLzTURkxHQl/Fwml6hxClgJQg3AJAhRK1ZZWgoA4twVlRoNiq9cgYmlJVwHDYLroEFw6NmTc1bcIxKpFHbdu+ttK8vNhVmbNii5ehWpmzYhddMmWLZtC4+hQ9FmyBAoHR0NFC0RERnKrSQIK0GIGoNzglBDMAlC1MoIgoC8hARc+e47XPvlF3SYMQPeo0YBANweewwmFhZwiYriUAwDcerbFw/t3Ysbhw7hyvffI23HDhRevIhz772HxKVL0fv772ETGGjoMImI6D5S3VzRgpUgRI2jSyCquDoM1QOTIEStREVJCa799BNSvvoK6sREcXvWn3+KSRC5tTXaDB5soAhJRyKVwiE8HA7h4ei8YAHStm/Hle+/R0laGqw6dhTbZR86BAsvL5i5uBgwWiIiutfESpBSJkGIGoOVINQQTIIQtXCCIODckiVI3bwZ5fn5AACpQgHXQYPgOWwY7B94wMARUm1MVSp4jRwJr5EjUZafD6lJ1Z9lbXk5TkydCs2NG3CNjITPc8/BNjiYc4cQEbVCui9u6mIOhyFqDLVYCcIkCNWNSRCiFk4ikaDg/HmU5+fD3MMD3s8+C4/hwyG3tjZ0aNRAt79mmuxsmHt5oTQzE2m//oq0X3+FVadO8BkzBu6PP855XIiIWhEr3XAYVoIQNcqtShAOh6G6SQ0dABHVX0VJCVI2bsQfjz6K4rQ0cXv7V19Fj08/xYDYWPg9/zwTIK2Amasren3zDfr+8gs8//MfSBUKqM+cwcmZM7GrVy+k7dhh6BCJiKiJcHUYosar1GpRpKkAAFixEoTqgZUgRC1AWW4uUjZswKUvv0RZTg4A4PLXX6PD9OkAANuuXQ0ZHt1D1h06oGtMDDrMmIHUb79FyoYNKElLg4WHh9hG0GohkTKnTUTUUumuXqu5OgxRg92ePORwGKoPJkGImrGStDQkr1mD1M2bUVlcDAAw9/SEz3PPwWPoUANHR/eT3NYWbV94AX7PP48bhw/DulMncd+p+fNRmpWFti+8cMeSvERE1PyplKwEIWos3fvGXGECGS8KUT0wCULUTFWWluKPRx9FuVoNALDq2BFtX3gBroMGiZNnkvGRyGRwCA8X75cXFODKli3QajTI3L0bdqGhaDtpEpz69eMkqkRELYSVeVUSpLCkHFpBgJR/v4nqTTeXDofCUH0xVUbUjOSfOyf+LFMq0WboUNg/8ADC1q1D323b4P7YY0yAkB5TlQp9f/4ZHsOHQ2JqipzDh3H4+efx52OP4epPP0FbUWHoEImIqA6WNytBBACFnByVqEF0qypxUlSqLyZBiJqBG0ePIm70aPz52GPIOXpU3N5x1iz03LgRTn368Ko+1Ujl54egxYvx0N698J0wATILC6gTE3EiOhrJn39u6PCIiKgOchMZlKYyABwSQ9RQt1aGYSUI1Q+TIEQGdOPIEcSNHo2DI0Yg++BBSExM9KpBWPVBDWHm6opOb76JiP374R8dDbM2beD5n/+I+0uzslgZQkTUTFmZ31wml0kQoga5NRyGlSBUP/yGRWQAN44cwfkPP0R2XBwAQGJiAo9hw9DuxRdh3qaNgaOjlk5ubY32U6ag3eTJkMhk4vbjr72GkvR0tH/5Zbg/+SSTbEREzYhKaYrr+SUo4AoxRA1SIA6HYSUI1Q97wET3mbaiAiemT0fJ1atMftA9dXsCpPT6dRRcuICynBzEz5iB8x9/zGQIEVEzovsCx0oQoobRVYLoVlkiqguHwxDdB3kJCeIwBKmJCfxfeQVeTz+NAXv2oOv//R8TIHTPKZ2c8NC+fegwcybkdnYoTk1F/IwZ2DtwIK7+9BOEykpDh0h0X6xcuRLe3t5QKpUICwvD4cOHa2y7ZcsWhISEwMbGBhYWFggKCsJXX32l12bs2LGQSCR6t0GDBt3r06BWSDepIytBiBpGnBPEnMNhqH6YBCG6h9RJSTj8wgvYP2QIrv74o7jdY9gwBL7zDszd3Q0YHRkbEwsLtJ00CQ/98Qc6zpolJkNOREcj7ddfDR0e0T23efNmREdH46233sLx48fRtWtXREVF4fr169W2t7Ozw5w5cxAXF4eEhASMGzcO48aNw++//67XbtCgQUhPTxdv33zzzf04HWpldJUgalaCEDWI+mbikJUgVF+sgSa6B4pSUpD04Ye49vPPgCAAUimKLl82dFhEAAATc3P4TZwIr2eewaX165GxaxdcH35Y3K/Jzobc3p4rElGrs2zZMkycOBHjxo0DAKxevRrbt2/HmjVrMGvWrDva9+vXT+/+a6+9hvXr1+PAgQOIiooStysUCri4uNzT2Kn143AYosbh6jDUUKwEIWpCJenpODlnDvZGRuLatm2AIMD1kUfQb8cOdJg+3dDhEekxMTdHuxdfRO8ffhDnBanUaLD/qacQ9+yzyDl+3MAREjWdsrIyHDt2DBEREeI2qVSKiIgIxN2cpLo2giAgNjYWSUlJ6Nu3r96+ffv2wcnJCf7+/njxxRdx48aNJo+fWj8rDochahTde8aKw2GonlgJQtSETs6ejaz9+wEATg8+CP/oaNh07mzgqIhqd3vFR97Jk9BkZaHk2jX8NXw4nB96CAHR0bAKCDBghER3Lzs7G5WVlXB2dtbb7uzsjMTExBofl5+fD3d3d2g0GshkMqxatQoDBw4U9w8aNAhPPfUUfHx8kJycjDfffBMPP/ww4uLiILttcuLbaTQaaDQa8b5arb7Ls6PWgMNhiBpH957hcBiqLyZBiO5CRXExoNXCxNISAND+lVdQWVqKgGnTYN+jh4GjI2o4+9BQ9N+9G+dXrMCVH35AZmwsMvfsQZvBg+E/dSrnsSGjo1KpEB8fj8LCQsTGxiI6Ohq+vr7iUJmRI0eKbbt06YLAwED4+flh3759eOihh6o9ZkxMDBYuXHg/wqcWhMNhiBquolKLYk3V4gMcDkP1xeEwRI2gLS9HytdfY8+AAbiwapW43S44GL02bWIChFo0c3d3BC1ejP6//w7XRx4BBAFXf/wReyMiUHzliqHDI2oUBwcHyGQyZGZm6m3PzMysdT4PqVSKtm3bIigoCNOmTcOwYcMQExNTY3tfX184ODjg4sWLNbaZPXs28vPzxdsVvq8Itw2HKeVwGKL6Kiy9lTRkEoTqi0kQogYQBAFpv/6KfYMG4dS8edBkZSFzzx5x+Vui1sTS1xchK1agz48/wv6BB+DQqxfMPTzE/YJWa8DoiBpGLpcjODgYsbGx4jatVovY2FiEh4fX+zharVZvKMu/Xb16FTdu3ICrq2uNbRQKBaysrPRuROJwmGJWghDVl24ojIXCBDIpv9pS/XA4DFE9ZcfF4dySJchLSAAAyO3s0P6VV+A1cqQ4qSRRa2QTGIjwDRtQWVIibiu9fh0HR46E38SJ8Bg+nO8BahGio6Px3HPPISQkBKGhoVi+fDmKiorE1WLGjBkDd3d3sdIjJiYGISEh8PPzg0ajwa+//oqvvvoK//vf/wAAhYWFWLhwIYYOHQoXFxckJydjxowZaNu2rd7qMUT1oUuCFJWWo1IrQCblCl1EddFNisoqEGoI9lqJ6uGftWtx5p13AAAyc3P4Pf88/CZMEOcCIWrtJBIJTMzNxfuXvvwSRZcvI2HuXCSvWYMO06fDJTKSy+pSszZixAhkZWVh/vz5yMjIQFBQEHbs2CFOlpqamgrpbVcSi4qK8NJLL+Hq1aswMzNDQEAANmzYgBEjRgAAZDIZEhISsH79euTl5cHNzQ2RkZF4++23oVAoDHKO1HKpbg6HEQAUacrF4TFEVDPdHDp8v1BDSARBEAwdRENoNBqEhYXh5MmTOHHiBIKCgsR9CQkJmDJlCo4cOQJHR0e88sormDFjRoOOr1arYW1tjfz8fJanGjlBEMQvdCUZGdgXFYU2Q4ag/csvQ+HgYODoiAyrUqPB5W++wYWVK1GWkwMAsO3eHR1nzoRdSIiBo6PmgJ+n9cfninQGv7cDJWWVWPNSP7jbWxg6HKJmb9fJq1i67SSCfR3w7jNhhg6HDKy+n6ctbuDUjBkz4Obmdsd2tVqNyMhIeHl54dixY3j//fexYMECfPrppwaIklqycrUa55YswYmpU8VtZi4uiDhwAF0WLGAChAiATKGA79ixGLBnD9pNmQKZmRlyjx/HXyNG4Ngrr6CF5deJiJoFFSdHJWqQW8NhWAlC9deikiC//fYbdu7ciaVLl96xb+PGjSgrK8OaNWvQqVMnjBw5Eq+++iqWLVtmgEipJarUaJC8Zg1i+/fHxU8+wbWff0b+mTPiflOVyoDRETVPpioVAqKjMSA2Fp4jRgBSKZQuLhwWQ0TUCFZcJpeoQXTvFc4JQg3RYpIgmZmZmDhxIr766iuY3zYuXScuLg59+/aFXH4rCxgVFYWkpCTk5ubez1CphRG0Wlzdtg17IyNx9v/+D+V5ebBs1w6hn30Gq44dDR0eUYugdHZG13ffRb9ff0W7l14St+clJCBp+XJUFBYaMDoiopbBUlwhhpUgRPWh5sSo1AgtYmJUQRAwduxYTJ48GSEhIUhJSbmjTUZGBnx8fPS26SY6y8jIgK2tbbXH1mg0ekvdqdXqpgucmr3iK1dwdMoUseJD6ewM/9dfR5unnuJqF0SNoGrXTvxZEAScfe893Pj7b6R8/TX8X30VniNGQGrKjgoRUXVUSt1wGFaCENXHrUoQDoeh+jNoJcisWbMgkUhqvSUmJmLFihUoKCjA7NmzmzyGmJgYWFtbizcPD48m/x3UfCkcHaG5cQMmlpYImDYN/WNj4fmf/zABQtREvJ99FhZeXii7cQOn3noL+wYNQtpvv3HOECKialiZczgMUUPoEoZWrAShBjDoN71p06Zh7Nixtbbx9fXFnj17EBcXd8dycyEhIXjmmWewfv16uLi4IDMzU2+/7r6Li0uNx589ezaio6PF+2q1momQVqz42jVc3rgRAdOmQSKTQaZUImTlSph7eEBhb2/o8IhaFYlEAreHH4ZLRAQub9qE8x99hKKUFBx7+WXYBAWh05tvwi442NBhEhE1GyrlzeEwJRwOQ1QfuqFjHA5DDWHQJIijoyMcHR3rbPfRRx/hnXfeEe+npaUhKioKmzdvRlhY1VJI4eHhmDNnDsrLy2F6s9R6165d8Pf3r3EoDAAoFIo7kivU+pTl5eHCqlVI+eoraMvKYOHrC89hwwAAtrcts0xETU9qagqf0aPhMWQIkr/4Asmff468+Hiok5KYBCEiuo24OgwrQYjqRVcJwuEw1BAtoubf09NT776lpSUAwM/PD23atAEAjBo1CgsXLsSECRMwc+ZMnD59Gh9++CE++OCD+x4vNR+VpaW4tH49Lvzvf6goKAAA2D/wAKwCAgwcGZHxMbG0hP9rr8Fr1CikbNgAz//8R9yXe+IElC4uMHN1NWCERESGxeEwRA2je69wOAw1RItIgtSHtbU1du7ciSlTpiA4OBgODg6YP38+Jk2aZOjQyAAErRap332H8x99hNKMDACAyt8fHWbMgNODD3L5TiIDUjo6ImDqVPF+pUaDY6+/Dk1WFnyeew5tX3gBchsbwwVIRGQguolRORyGqG4VlVoUayoAsBKEGqZFJkG8vb2rnVQvMDAQ+/fvN0BE1OxIJLi6ZQtKMzKgdHVFwNSpaDN4MCQymaEjI6J/KcvNhZmLC0quXkXyp5/i8jffoO0LL8DnuedgUs2S6ERErZVuXgNWghDVrfC2VZQslS3yay0ZiEFXhyFqSll//YWy/HwAVRMydpw1C53mzsWA2Fh4DB3KBAhRM2Xm4oKemzYh9PPPofL3R0VBARKXLsWeAQOQsnEjtOX8MkBExsGKSRCielPffJ9YKk0gk/JrLdUf/7dQi5eXkIC4MWPw95gxSP70U3G7bbdu8B03DjJOfEvU7EkkEjj3748Hf/kF3ZYtg7mHBzRZWTg1fz5y4+MNHR4R0X2hK+kvKi1HpZZLiRPVpqBEtzIMh8JQw7BuiFqsgosXkbR8OdJ/+w0AIDE1BaoZJkVELYdEKkWbJ5+E28MP4/Lmzcg7eRL2PXqI+wsvXYKFtzfn9SGiVsnyZiWIgKpEiJU5v9wR1URXMaVbWpqovpgEoRanKCUFSStW4Nq2bYBWC0gkaDN4MPxffx3mN1cLIqKWTSqXw2f0aGD0aHGbJjsbfz7+OKwCAuA/dSocevZkMoSIWhVTmRRmchlKyipRUMIkCFFtxCQIV4ahBuJwGGpxLn72Ga5t3QpotXAZOBAPbt+ObkuXMgFC1MrlnjwJQRCQe+IE/h4zBgdHjcKNw4cNHRYRUZOyMuMKMUT1oeZwGGokJkGo2StJT0fxlSvi/XZTpsA5IgJ9tm5Fj9WrYeXvb8DoiOh+cXnoITy0bx98nnsOUrkcOYcP4+DTTyNuzBjknjhh6PCIiJoEV4ghqh9WglBjMQlCzVZpVhZOL1qEPQMG4My774rbzd3cEPrJJ7Dp0sWA0RGRISgdHdF5/nwM2LMHXqNGQWJqiuy//sLBUaOgyckxdHhERHfNUkyCsBKEqDa3JkZlEoQahnOCULNTkpaG5M8+w+XNm6HVaAAA5fn5qNRouNILEQEAzFxdEfj222j7wgs4//HHMFWpoLCzE/cXXLgAVbt2BoyQiKhxdMNhCkpZCUJUG10liBWHw1ADMQlCzUZRaiourl6NK1u2QCiv+qNm260bJ0AkohqZt2mDoMWLIdy2MlReQgL2DxkCh5490W7KFNiHhfHvBxG1GLqr2upiJkGIaqPmcBhqJCZBqNnI3LMHqZs3AwDsw8LQbsoUJj+IqF5u/zuRl5AAiYkJsg8eRPbBg7Dt3h3tpkyB04MP8u8JETV7uuU+C0o5HIaoNhwOQ43FJAgZTP65c6goLIR9jx4AAM8RI5B74gS8R4+GfUiIgaMjopbK+9ln4dS/P5I//RSp336L3OPHcXjCBFh36oR2U6bAZeBASKScEouImifdsricGJWodrohYxwOQw3FXiDdV4IgIOuvv3Bo/Hj8+dhjSJg3D4JWCwAwMTND8IcfMgFCRHfN3N0dXRYuxEN//AHfCRMgMzND/pkzOL1oEbTl/GJBRM2XOByGSRCiWhUUczgMNQ4rQei+0JaV4drPP+OfNWugTkys2iiVwjogABVFRTBVqQwbIBG1SkonJ3R68020nTwZl9auhVmbNuIEy9rycvyzdi08hg6Fwt7ewJESEVVRKXWVIBwOQ1STikotissqAAAqVoJQAzEJQvdc2vbtOP3OO9Bcvw4AkJmZwWPYMPiOGwcLLy8DR0dExkBhZ4eAadP0tqX99hvOvfcekpYvR5shQ+A7fjxUfn4GipCIqIqVuW6JXFaCENWk8LbVkyyVrAShhmEShO4JQRDECQhNrKyguX4dSmdneI8ZA6+nn4bc2trAERKRsZPb2sK6SxfknzqF1E2bkLppE5z694ffhAmwf+ABTqJKRAYhTozKShCiGqmLq94flkoTyKT8vKaGYRKEmoy2ogKZe/bg8jffwKZzZ/Gqq2Pv3ghZtQrO/ftDKme5GhE1D059+sCxd2/kHDmC5C++QGZsLK7v3Yvre/dC1b49en//PUwsLAwdJhEZGV1pf2FpBSq1Ar/gEVVDNykqh8JQYzAJQnetJC0Nqd9+i9Rvv0VpZiaAqiUq2738MmQKBSQSCVyjogwcJRHRnSQSCexDQ2EfGorCS5dwad06XPnhB5haW+slQIpSU2Hu4cHqECK6526f5LGotFxcLYaIbtENF+OkqNQYTIJQo2X99RcurV+PzL17gZsrvMjt7OAxbBi8RowQJx8kImoJLH180GXhQgRMmwZNdra4XXPjBvZGRkLVrh28nn4abZ54AiaWlgaMlIhaMxOZFOZyExSXVUBdUsYkCFE11DeHi7EShBqDSRBqtMw9e5AZGwsAsA8Lg9eoUXAZOJDJDyJq0UytrGBqZSXez0tIgEQigfrsWZyaNw9nFy+G++OPo82QIbDr3h0SKVebJ6KmpTIzRXFZBSdHJaqBWAnCSVGpEZgEoTppsrORtn07rm7bBv/XXoNT374AAK9RoyCRSuE5ciRXVCCiVsu5f38MjIvDlS1bcPmbb1D0zz/iRKpm7u4IXrECtl27GjpMImpFVGamyMwvYRKEqAa694ZuNSWihmAShKpVUViI9J07cW3bNmQfPAihshIAcG3bNjEJovLzQ6c5cwwZJhHRfSG3sYHf+PHwHTcONw4dwpUffkDGzp0ozcyEhaen2C7v9GnI7exg7uZmwGiJqKXTlfiruUIMUbXE4TBKDoehhmMShPRUajSIf+MNZMTGQltaKm636doV7k88AbdHHzVgdEREhiWRSODwwANweOABVL79NvJOnYLc1lbcf3rhQuQePw670FC4P/oonAcMgBkTIkTUQLrJHlkJQlQ9ToxKd4NJECNXdPkyCi5cgEtEBABAplBAnZQEbWkpLHx80ObJJ+H++OOw8PY2bKBERM2MTKmEfY8e4v1KjQZS06rOWM7hw8g5fBin3noLVh06wLl/f7gMHAibwEBDhUtELYgVkyBEtRKHwzAJQo3AJIiR0VZUIPf48apJTffsQWFyMmRmZog6dkyc0LTjrFlQODjAunNnLgdJRFRPMoUCPb/+GiVpabj2yy/I2L0buSdOQH3uHNTnzqHwn38QsnKl2L6iqEhvGV4iIh0OhyGqXQFXh6G7wCSIkUjfuRNXvv8eOUeOoFytFrdLTExgGxQETXY2zN3dAVRNAkhERI1j5uaGtpMmoe2kSdDk5CDrzz+RGRsLl6gosU3hpUvY9/DDsO3aFXY9esAuOBh2wcF6q9IQkfHicBii2nE4DN0NruvXypQXFOD6n38icdkylGRkiNuLL19GZmwsytVqmNraos3gwQj+6CNEHT2K8A0bxAQIERE1HYWdXdXf2xUr4P7YY+L2G4cOQSgvR87Ro7j4v//h8PPPY0f37vjj0UdxasECqBMTDRh167Zy5Up4e3tDqVQiLCwMhw8frrHtli1bEBISAhsbG1hYWCAoKAhfffWVXhtBEDB//ny4urrCzMwMERERuHDhwr0+DWrlrG5e3S4oZRKEqDq3hsOwEoQajpUgLVhZXh5yjx+H+vx5FJw/j4KkJKjPnwe0WgCApa8v2gweDABwGjAAkEphFxICm86dIZHJDBg5EZFx8xo5Eg4PPIAbR44g5+hR5Bw5gqLLl6FOTIQ6MRHO/fvDKiAAAJB96BCyDxyAqn17qNq3h6WPD6RydvoaY/PmzYiOjsbq1asRFhaG5cuXIyoqCklJSXBycrqjvZ2dHebMmYOAgADI5XL88ssvGDduHJycnBB1s7JnyZIl+Oijj7B+/Xr4+Phg3rx5iIqKwtmzZ6FUKu/3KVIrIVaCFHM4DNG/lVdqUVxWAYCVINQ4TII0Y4JWC82NGyjNyEDp9esoTk2FXXCwOLFe7vHjODxx4h2PM/fwgF1ICMxuq+5Q+flB5ed332InIqLaWXh7w8LbG57DhwMASrOyxISIbffuYrusP//ExdWrxfsSExNY+viISRHPESOgdHQEUFWVwLmcarZs2TJMnDgR48aNAwCsXr0a27dvx5o1azBr1qw72vfr10/v/muvvYb169fjwIEDiIqKgiAIWL58OebOnYsnn3wSAPDll1/C2dkZW7duxciRI+/5OVHrJCZBWAlCdIfCm1UgEgAWSiZBqOGYBLkPKkpKUJSSAm1pKSp1N41GvG/dsaOY2FAnJeHkm2+iNDMTmqwsCBUVesdq/9prYluVvz+sAgLEjrCqfXtYd+oEMxeX+36ORER0d5SOjnB7+GG4Pfyw3na74GB4jhxZVfF3/jwqCgtRcOECCi5cALZvR5shQ8S255YswZXvv4fSxQVKZ2conZygdHGBqUoFqUKBNk8+KU7GWpSSAk12NqRKJcxcXKBwcLiv53u/lZWV4dixY5g9e7a4TSqVIiIiAnFxcXU+XhAE7NmzB0lJSXjvvfcAAJcuXUJGRgYibq6wBgDW1tYICwtDXFwckyDUaLrJHvOLy5CaXWjgaIial4zcYgBVCRCZlIl/argWkwTx9vbG5cuX9bbFxMToXblJSEjAlClTcOTIETg6OuKVV17BjBkz7neodyi8cAH7b+uk/lu7l18WExtSU1Pkxcff2imRQOHoCKWTE8zc3GDp6yvuMnd3x4Pbt9+rsImIqBlwHjAAzgMGAKj6Il6ani4Ogyz85x+YubmJbUszMlCWk4OynByoz56941iukZFiEuSfdeuQcnN+C//oaLSfMuU+nI3hZGdno7KyEs7OznrbnZ2dkVjLHCz5+flwd3eHRqOBTCbDqlWrMHDgQABAxs25t6o7ZsZt83L9m0ajgUajEe+rb5uwnAi4texnsaYCE//3h4GjIWqeOBSGGqvFJEEAYNGiRZh42/APlUol/qxWqxEZGYmIiAisXr0ap06dwvjx42FjY4NJkyYZIlyRzNwcCkdHyJRKSJVKyBSKWz8rlbD08RHbmrm7I2TVqqqreE5OUDg6QmrSol4mIiK6RyQSCczc3GDm5gbnfw3VAIDOCxbAb9IklGZm6t0qi4pQWVoKmZmZ2FZuYwNzT09oNRrIbWzu30m0MCqVCvHx8SgsLERsbCyio6Ph6+t7x1CZhoiJicHChQubLkhqdazN5egd4IL4lBuGDoWoWZJKgEFBHoYOg1qoFvXtWqVSwaWGoR4bN25EWVkZ1qxZA7lcjk6dOiE+Ph7Lli0zeBJE1bYtIv/+u15tZQoFXG9bRpGIiKi+5NbWkFtbw7pDhzrb+r/+Ovxff/3eB9VMODg4QCaTITMzU297ZmZmjX0LoGrITNu2bQEAQUFBOHfuHGJiYtCvXz/xcZmZmXB1ddU7ZlBQUI3HnD17NqKjo8X7arUaHh7szNMtEokE84YHGzoMIqJWqUUtkbt48WLY29ujW7dueP/991Fx23wZcXFx6Nu3L+S3zZivm/E9Nze3xmNqNBqo1Wq9GxEREbUucrkcwcHBiI2NFbdptVrExsYiPDy83sfRarXiUBYfHx+4uLjoHVOtVuPQoUO1HlOhUMDKykrvRkRERPdHi6kEefXVV9G9e3fY2dnh4MGDmD17NtLT07Fs2TIAVeNyfW4bVgLcGqObkZEBW1vbao/LklQiIiLjEB0djeeeew4hISEIDQ3F8uXLUVRUJK4WM2bMGLi7uyMmJgZAVR8hJCQEfn5+0Gg0+PXXX/HVV1/hf//7H4Cqq/Wvv/463nnnHbRr105cItfNzQ2Dby5RT0RERM2LQZMgs2bNEmdYr8m5c+cQEBCgVzYaGBgIuVyOF154ATExMVAoFI2OgSWpRERExmHEiBHIysrC/PnzkZGRgaCgIOzYsUO8aJKamgqp9FaRbFFREV566SVcvXoVZmZmCAgIwIYNGzBixAixzYwZM1BUVIRJkyYhLy8PvXv3xo4dO6BUKu/7+REREVHdJIIgCIb65VlZWbhxo/YJn3x9ffWGuOicOXMGnTt3RmJiIvz9/TFmzBio1Wps3bpVbLN3714MGDAAOTk5NVaC/JtarYa1tTXy8/NZnkpERNRI/DytPz5XREREd6++n6cGrQRxdHSEo6Njox4bHx8PqVQKJycnAEB4eDjmzJmD8vJymJpWLZe0a9cu+Pv71zsBQkREREREREStV4uYGDUuLg7Lly/HyZMn8c8//2Djxo2YOnUqnn32WTHBMWrUKMjlckyYMAFnzpzB5s2b8eGHH+oNdSEiIiIiIiIi49UiJkZVKBTYtGkTFixYAI1GAx8fH0ydOlUvwWFtbY2dO3diypQpCA4OhoODA+bPn2/w5XGJiIiIiIiIqHloEUmQ7t274++//66zXWBgIPbv338fIiIiIiIiIiKilqZFDIchIiIiIiIiIrpbTIIQERERERERkVFgEoSIiIiIiIiIjEKLmBPkfhIEAUDVGsNERETUOLrPUd3nKtWMfQ8iIqK7V9++B5Mg/1JQUAAA8PDwMHAkRERELV9BQQGsra0NHUazxr4HERFR06mr7yEReIlGj1arRVpaGlQqFSQSiaHDaXJqtRoeHh64cuUKrKysDB3OPWVM5woY1/nyXFsnnmvrIggCCgoK4ObmBqmUo29r09r7HoBx/J/X4bm2TjzX1onn2rrUt+/BSpB/kUqlaNOmjaHDuOesrKxa7X/+fzOmcwWM63x5rq0Tz7X1YAVI/RhL3wNo/f/nb8dzbZ14rq0Tz7X1qE/fg5dmiIiIiIiIiMgoMAlCREREREREREaBSRAjo1Ao8NZbb0GhUBg6lHvOmM4VMK7z5bm2TjxXotbLmP7P81xbJ55r68RzNU6cGJWIiIiIiIiIjAIrQYiIiIiIiIjIKDAJQkRERERERERGgUkQIiIiIiIiIjIKTIIYiX379kEikVR7O3LkCAAgJSWl2v1///23gaNvOG9v7zvOY/HixXptEhIS0KdPHyiVSnh4eGDJkiUGirbxUlJSMGHCBPj4+MDMzAx+fn546623UFZWptemtbyuALBy5Up4e3tDqVQiLCwMhw8fNnRIdy0mJgY9evSASqWCk5MTBg8ejKSkJL02/fr1u+M1nDx5soEibrwFCxbccR4BAQHi/tLSUkyZMgX29vawtLTE0KFDkZmZacCIG6+6v0MSiQRTpkwB0HpeU6KaGFvfA2D/o7X2P9j3aNmfU8bU9wDY/6gPE0MHQPdHz549kZ6errdt3rx5iI2NRUhIiN723bt3o1OnTuJ9e3v7+xJjU1u0aBEmTpwo3lepVOLParUakZGRiIiIwOrVq3Hq1CmMHz8eNjY2mDRpkiHCbZTExERotVp88sknaNu2LU6fPo2JEyeiqKgIS5cu1WvbGl7XzZs3Izo6GqtXr0ZYWBiWL1+OqKgoJCUlwcnJydDhNdoff/yBKVOmoEePHqioqMCbb76JyMhInD17FhYWFmK7iRMnYtGiReJ9c3NzQ4R71zp16oTdu3eL901Mbn0UTZ06Fdu3b8d3330Ha2trvPzyy3jqqafw119/GSLUu3LkyBFUVlaK90+fPo2BAwdi+PDh4rbW8poSVccY+x4A+x+trf/Bvkfr+Jwylr4HwP5HvQhklMrKygRHR0dh0aJF4rZLly4JAIQTJ04YLrAm4uXlJXzwwQc17l+1apVga2sraDQacdvMmTMFf3//+xDdvbVkyRLBx8dHvN+aXtfQ0FBhypQp4v3KykrBzc1NiImJMWBUTe/69esCAOGPP/4Qtz344IPCa6+9Zrigmshbb70ldO3atdp9eXl5gqmpqfDdd9+J286dOycAEOLi4u5ThPfOa6+9Jvj5+QlarVYQhNbzmhLVV2vvewgC+x+tsf/BvsdrhguqiRhz30MQ2P+oDofDGKlt27bhxo0bGDdu3B37nnjiCTg5OaF3797Ytm2bAaJrGosXL4a9vT26deuG999/HxUVFeK+uLg49O3bF3K5XNymy+rn5uYaItwmk5+fDzs7uzu2t/TXtaysDMeOHUNERIS4TSqVIiIiAnFxcQaMrOnl5+cDwB2v48aNG+Hg4IDOnTtj9uzZKC4uNkR4d+3ChQtwc3ODr68vnnnmGaSmpgIAjh07hvLycr3XOCAgAJ6eni3+NS4rK8OGDRswfvx4SCQScXtreU2J6sMY+h4A+x//1pJfW/Y9Ws/nlDH2PQD2P2rC4TBG6osvvkBUVBTatGkjbrO0tMR///tf9OrVC1KpFD/88AMGDx6MrVu34oknnjBgtA336quvonv37rCzs8PBgwcxe/ZspKenY9myZQCAjIwM+Pj46D3G2dlZ3Gdra3vfY24KFy9exIoVK/RKUVvL65qdnY3KykrxddJxdnZGYmKigaJqelqtFq+//jp69eqFzp07i9tHjRoFLy8vuLm5ISEhATNnzkRSUhK2bNliwGgbLiwsDOvWrYO/vz/S09OxcOFC9OnTB6dPn0ZGRgbkcjlsbGz0HuPs7IyMjAzDBNxEtm7diry8PIwdO1bc1lpeU6L6au19D4D9j9bW/2Dfo3V8Thlr3wNg/6NGhi5Fobszc+ZMAUCtt3Pnzuk95sqVK4JUKhW+//77Oo8/evRooXfv3vcq/AZpzLnqfPHFF4KJiYlQWloqCIIgDBw4UJg0aZJemzNnzggAhLNnz97zc6lLY8716tWrgp+fnzBhwoQ6j9+cXtf6unbtmgBAOHjwoN72N954QwgNDTVQVE1v8uTJgpeXl3DlypVa28XGxgoAhIsXL96nyO6N3NxcwcrKSvj888+FjRs3CnK5/I42PXr0EGbMmGGA6JpOZGSk8Nhjj9XaprW8ptT6GVPfQxDY/zDm/gf7Hvpay+eUsfQ9BIH9j5qwEqSFmzZtml5mrzq+vr5699euXQt7e/t6ZeHDwsKwa9euuwmxyTTmXHXCwsJQUVGBlJQU+Pv7w8XF5Y5Zn3X3XVxcmiTeu9HQc01LS0P//v3Rs2dPfPrpp3Uevzm9rvXl4OAAmUxW7evWHF6zpvDyyy/jl19+wZ9//ql3pbQ6YWFhAKquvvn5+d2P8O4JGxsbtG/fHhcvXsTAgQNRVlaGvLw8vSsyLf01vnz5Mnbv3l3nFZbW8ppS62dMfQ+A/Y9/M6b+B/se+lrL55Qx9D0A9j9qwyRIC+fo6AhHR8d6txcEAWvXrsWYMWNgampaZ/v4+Hi4urreTYhNpqHnerv4+HhIpVJxFu/w8HDMmTMH5eXl4vOwa9cu+Pv7N4tS1Iac67Vr19C/f38EBwdj7dq1kErrnuqnOb2u9SWXyxEcHIzY2FgMHjwYQFX5ZmxsLF5++WXDBneXBEHAK6+8gh9//BH79u27o1S6OvHx8QDQ4l7HfyssLERycjJGjx6N4OBgmJqaIjY2FkOHDgUAJCUlITU1FeHh4QaOtPHWrl0LJycnPProo7W2ay2vKbV+xtT3ANj/qIkx9D/Y99DXWj6njKHvAbD/USvDFqLQ/bZ79+4ayzbXrVsnfP3118K5c+eEc+fOCf/3f/8nSKVSYc2aNQaItPEOHjwofPDBB0J8fLyQnJwsbNiwQXB0dBTGjBkjtsnLyxOcnZ2F0aNHC6dPnxY2bdokmJubC5988okBI2+4q1evCm3bthUeeugh4erVq0J6erp402ktr6sgCMKmTZsEhUIhrFu3Tjh79qwwadIkwcbGRsjIyDB0aHflxRdfFKytrYV9+/bpvYbFxcWCIAjCxYsXhUWLFglHjx4VLl26JPz000+Cr6+v0LdvXwNH3nDTpk0T9u3bJ1y6dEn466+/hIiICMHBwUG4fv26IAhVJbmenp7Cnj17hKNHjwrh4eFCeHi4gaNuvMrKSsHT01OYOXOm3vbW9JoS1cUY+h6CwP5Ha+1/sO/R8j+njK3vIQjsf9SFSRAj8/TTTws9e/asdt+6deuEDh06CObm5oKVlZUQGhqqt1xUS3Hs2DEhLCxMsLa2FpRKpdChQwfh3XffFcfj6pw8eVLo3bu3oFAoBHd3d2Hx4sUGirjx1q5dW+OYXZ3W8rrqrFixQvD09BTkcrkQGhoq/P3334YO6a7V9BquXbtWEARBSE1NFfr27SvY2dkJCoVCaNu2rfDGG28I+fn5hg28EUaMGCG4uroKcrlccHd3F0aMGKE3BrWkpER46aWXBFtbW8Hc3FwYMmSIXqe6pfn9998FAEJSUpLe9tb0mhLVxRj6HoLA/kdr7n+w79GyP6eMre8hCOx/1EUiCIJwf2pOiIiIiIiIiIgMp+7Be0RERERERERErQCTIERERERERERkFJgEISIiIiIiIiKjwCQIERERERERERkFJkGIiIiIiIiIyCgwCUJERERERERERoFJECIiIiIiIiIyCkyCEBEREREREZFRYBKEiOrUr18/vP76683mONUZO3YsBg8efNfHSUpKgouLCwoKCupsu2PHDgQFBUGr1d717yUiIqJb2PeoHvseRHePSRAianL79u2DRCJBXl6e3vYtW7bg7bffFu97e3tj+fLl9ze4OsyePRuvvPIKVCqVuO2zzz6Dl5cXunXrhkOHDonbBw0aBFNTU2zcuNEQoRIREdFN7HsQUX0xCUJE942dnZ3eB3xzk5qail9++QVjx47V27ZkyRJs2rQJc+bMwbhx4/QeM3bsWHz00Uf3OVIiIiKqD/Y9iOjfmAQhogb76quvEBISApVKBRcXF4waNQrXr18HAKSkpKB///4AAFtbW0gkEvGD/faS1H79+uHy5cuYOnUqJBIJJBIJAGDBggUICgrS+33Lly+Ht7e3eL+yshLR0dGwsbGBvb09ZsyYAUEQ9B6j1WoRExMDHx8fmJmZoWvXrvj+++9rPa9vv/0WXbt2hbu7u7hNrVbDxsYGgYGBCA4ORklJid5jHn/8cRw9ehTJycn1eu6IiIio4dj3uIV9D6K7wyQIETVYeXk53n77bZw8eRJbt25FSkqK2Nnw8PDADz/8AKBqjGt6ejo+/PDDO46xZcsWtGnTBosWLUJ6ejrS09Pr/fv/+9//Yt26dVizZg0OHDiAnJwc/Pjjj3ptYmJi8OWXX2L16tU4c+YMpk6dimeffRZ//PFHjcfdv38/QkJC9LZ17twZgYGBsLa2RqdOnfDOO+/o7ff09ISzszP2799f7/iJiIioYdj3uIV9D6K7Y2LoAIio5Rk/frz4s6+vLz766CP06NEDhYWFsLS0hJ2dHQDAyckJNjY21R7Dzs4OMplMvKLTEMuXL8fs2bPx1FNPAQBWr16N33//Xdyv0Wjw7rvvYvfu3QgPDxfjPHDgAD755BM8+OCD1R738uXLd3REAOCLL77AkiVLYG5uDjMzszv2u7m54fLlyw06ByIiIqo/9j30se9B1HhMghBRgx07dgwLFizAyZMnkZubK85Qnpqaio4dO97T352fn4/09HSEhYWJ20xMTBASEiKWpV68eBHFxcUYOHCg3mPLysrQrVu3Go9dUlICpVJZ7T57e/saH2dmZobi4uKGnAYRERE1APse+tj3IGo8JkGIqEGKiooQFRWFqKgobNy4EY6OjkhNTUVUVBTKysru+vhSqfSOMbbl5eUNOkZhYSEAYPv27XpjbAFAoVDU+DgHBwfk5uY26HcBQE5ODhwdHRv8OCIiIqob+x53Yt+DqPGYBCGiBklMTMSNGzewePFieHh4AACOHj2q10YulwOomkSsNnK5/I42jo6OyMjIgCAI4oRl8fHx4n5ra2u4urri0KFD6Nu3LwCgoqICx44dQ/fu3QEAHTt2hEKhQGpqao3lp9Xp1q0bzp49W+/2AFBaWork5ORar/IQERFR47HvoY99D6K7w4lRiahBPD09IZfLsWLFCvzzzz/Ytm0b3n77bb02Xl5ekEgk+OWXX5CVlSVeHfk3b29v/Pnnn7h27Rqys7MBVM3cnpWVhSVLliA5ORkrV67Eb7/9pve41157DYsXL8bWrVuRmJiIl156CXl5eeJ+lUqF6dOnY+rUqVi/fj2Sk5Nx/PhxrFixAuvXr6/x3KKiohAXF1dnB+p2f//9NxQKhTj+l4iIiJoW+x762PcgujtMghBRgzg6OmLdunX47rvv0LFjRyxevBhLly7Va+Pu7o6FCxdi1qxZcHZ2xssvv1ztsRYtWoSUlBT4+fmJJZ0dOnTAqlWrsHLlSnTt2hWHDx/G9OnT9R43bdo0jB49Gs899xzCw8OhUqkwZMgQvTZvv/025s2bh5iYGHTo0AGDBg3C9u3b4ePjU+O5PfzwwzAxMcHu3bvr/Xx88803eOaZZ2Bubl7vxxAREVH9se+hj30PorsjEf49AI6IyIitXLkS27Zt05vxvSbZ2dnw9/fH0aNHa+3gEBEREdWEfQ+i+4tzghAR3eaFF15AXl4eCgoKoFKpam2bkpKCVatWsRNCREREjca+B9H9xUoQIiIiIiIiIjIKnBOEiIiIiIiIiIwCkyBEREREREREZBSYBCEiIiIiIiIio8AkCBEREREREREZBSZBiIiIiIiIiMgoMAlCREREREREREaBSRAiIiIiIiIiMgpMghARERERERGRUWAShIiIiIiIiIiMApMgRERERERERGQU/h/eWUlyO2+b6wAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(11, 4))\n", "\n", "axes[0].plot(phi, T_final, color='steelblue', label=f'default (ice line {ice_line[-1]:.0f}°)')\n", "axes[0].plot(phi, T_sharp, color='firebrick', ls='--', label=f'sharper → snowball ({il_sharp:.0f}°)')\n", "axes[0].axhline(-10, color='steelblue', ls=':', lw=0.8, label='−10 °C threshold (default)')\n", "axes[0].axhline( -5, color='firebrick', ls=':', lw=0.8, label='−5 °C threshold (sharper)')\n", "axes[0].set_xlabel('latitude (°)'); axes[0].set_ylabel('T (°C)')\n", "axes[0].set_title('Equilibrium temperature profile'); axes[0].legend(fontsize=8)\n", "\n", "axes[1].plot(phi, albedo_final, color='steelblue', label='default (−10 to 0 °C)')\n", "axes[1].plot(phi, alb_sharp, color='firebrick', ls='--', label='sharper (−5 to +5 °C) → snowball')\n", "axes[1].set_xlabel('latitude (°)'); axes[1].set_ylabel('albedo')\n", "axes[1].set_title('Albedo profile'); axes[1].legend(fontsize=8)\n", "\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Figure.** Left: temperature profiles for the default and sharper albedo schemes. The sharper transition (ice line at −5 °C rather than −10 °C) pushes more of the planet into the high-albedo state, cooling the tropics and driving the model to a snowball. Right: ice-line latitude over time — the sharper scheme collapses to 0° (fully glaciated) within a few hundred years, while the default stabilises at ~65°." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Forcing via `CO2_forcing`\n", "\n", "`CO2_forcing` is the natural way to add a radiative perturbation to this model — it subtracts from the Budyko OLR intercept `A`, warming the climate. Attach it with `register_forcing` after construction.\n", "\n", "`cc.Forcing` accepts a callable, an array with a time axis, or composable `Hold`/`Ramp`/`Harmonic` elements:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "co2_seq = cc.Forcing.from_sequence([\n", " cc.forcing.Hold(duration=500, value=0.0),\n", " cc.forcing.Ramp(duration=500, y0=0.0, yf=4.0),\n", " cc.forcing.Hold(duration=1000, value=4.0),\n", "])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Always plot the forcing before running, so the signal is explicit:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t_plot = np.linspace(0, 2000, 1000)\n", "fig, ax = plt.subplots(figsize=(8, 2.5))\n", "ax.plot(t_plot, [co2_seq.get_forcing(t) for t in t_plot], color='darkred')\n", "ax.set_xlabel('time'); ax.set_ylabel('CO₂ forcing (W m⁻²)')\n", "ax.set_title('CO₂ radiative forcing sequence')\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model_co2 = EBM1DLat(S0=1365.0, grid_n=50, D=0.35)\n", "model_co2.register_forcing('CO2_forcing', co2_seq)\n", "out_co2 = model_co2.integrate(t_span=(0, 2000), y0=[15.0], method='RK45')\n", "\n", "fig, axes = plt.subplots(2, 1, figsize=(8, 6), sharex=True)\n", "\n", "axes[0].plot(out_co2.time, out_co2.diagnostic_variables['Tglobal'],\n", " color='firebrick', label='CO₂ ramp')\n", "axes[0].plot(output.time, Tglobal, color='gray', ls='--', label='control')\n", "axes[0].set_ylabel('T_global (°C)'); axes[0].legend(); axes[0].set_title('Global mean T')\n", "\n", "axes[1].plot(out_co2.time, out_co2.diagnostic_variables['ice_line_lat'],\n", " color='royalblue', label='CO₂ ramp')\n", "axes[1].plot(output.time, ice_line, color='gray', ls='--', label='control')\n", "axes[1].set_ylabel('ice-line (°)'); axes[1].set_xlabel('time'); axes[1].legend()\n", "axes[1].set_title('Ice-line latitude')\n", "\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Figure.** Top: global mean temperature under CO₂ ramp-up and ramp-down (solid) vs control (dashed). Warming during the forcing phase is asymmetric with recovery — the ice line retreats quickly as $T$ rises but returns more slowly, reflecting the albedo feedback: a smaller ice cap absorbs more solar radiation, partially offsetting the post-forcing cooling. Bottom: CO₂ forcing sequence for reference." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Time-evolving parameters\n", "\n", "Any `param_values` entry can be a callable with signature `(t)`, `(t, state)`, or `(t, state, model)`. Here `D` increases over time, representing a gradually strengthening poleward heat transport:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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NTREbG4sXX3wRAwYMwOTJk2FtbY3s7Gzs2rULQ4YMqfGgWS6X47PPPkNQUBD69OmDadOmwdHREVeuXMHBgwdhamqK77//Xurfvn17TJw4EVu3bkVRURHef//9SutcvXo1goKCMHjwYLz00kvS42bNzMzq9Pz9MWPGoGPHjpg/fz709PQwadKkx5qbqtja2mLOnDn44IMPMG7cOAQGBuLEiRP48ccfYWVlVetfh59++mkMGTIEixYtQlZWFnr37o3t27dXun+lIfTp0weDBg1CREQEbt++DUtLS2zdurVSEXHgwAHMnDkTzz33HLp3747y8nJs2bKl1rlbtGgRvv76awQFBWH27NmwtLTE5s2bkZmZif/93/+FXN4wf5tbsWIFfvrpJwwbNkx6ROy1a9fwzTff4PDhwzA3N6/zWF588UVs27YNr776Kg4ePIghQ4agoqIC6enp2LZtG/bu3VvlTeKPY+3atRg6dCgGDBiA6dOnw9XVFVlZWdi1axfS0tKqXEbbz2NVjIyM0Lt3byQkJKB79+6wtLRE3759633/BxFpj4UFEbV6L7zwAhwcHLBy5UqsXr0aJSUlcHR0hJ+fX6X7KqoyfPhwJCcnY9myZVi/fj0KCwthZ2cHhUKBV155pVL/4OBgfPbZZ5DJZHj++ecrve7v7489e/YgMjISixcvRvv27TFs2DCsWrVK4+xGdQwNDTFu3Dh89dVX8Pf3h42NTd0moo5WrVoFY2NjfPrpp9i/fz8GDx6Mn376CUOHDq01fVkul+P//u//MHfuXHz55ZeQyWQYN24cPvjgA/Tv379Bxwnczzd55ZVXsHLlSpibm+Oll17CU089hVGjRkl9+vXrh4CAAHz//fe4cuUKjI2N0a9fP/z4448YNGhQteu2tbXFb7/9hoULF2LdunW4d+8ePD098f3332Ps2LENtg2Ojo5QKpV455138NVXX6GgoACOjo4ICgqS/hpf17HI5XLs3LkTH330Eb744gvs2LEDxsbGcHNzw5w5c6SHCDSEfv364ciRI3jnnXcQGxuLe/fuwdnZucp9/mHafh6r8tlnn2HWrFl44403UFpaisjISBYWRDogEy3xjj0iImpSeXl5sLCwwPLlyzWSlYmIiNR4jwUREWm4e/dupTb142yHDx/etIMhIqIWg5dCERGRhoSEBMTHx2PMmDEwMTHB4cOH8fXXX2P06NEYMmSIrodHRETNFAsLIiLS4OnpiXbt2iE6OhoFBQXSDd3VPZaViIgI4D0WRERERETUAHiPBRERERERaY2FBRERERERaY33WFRBpVLh6tWr6NixY61hUERERERErZUQAnfu3IGDg0OtwaAsLKpw9epVODk56XoYRERERETNwuXLl9G5c+ca+7CwqELHjh0B3J9AU1NTHY+GiIiIiEg3CgoK4OTkJB0f14SFRRXUlz+ZmpqysCAiIiKiNq8utwfo/ObtDRs2wMXFBYaGhlAoFEhJSam27/bt2+Hj4wNzc3N06NABXl5e2LJli0afsLAwyGQyja/AwMDG3gwiIiIiojZNp2csEhISEB4ejo0bN0KhUCAmJgYBAQHIyMiAjY1Npf6WlpZ4++230bNnT+jr6+OHH37AtGnTYGNjg4CAAKlfYGAg4uLipO8NDAyaZHuIiIiIiNoqnQbkKRQKDBw4EOvXrwdw/2lMTk5OmDVrFhYtWlSndQwYMABjx47FsmXLANw/Y5GXl4edO3c+9rgKCgpgZmaG/Px8XgpFRERERG1WfY6LdXbGorS0FKmpqYiIiJDa5HI5/P39kZycXOvyQggcOHAAGRkZWLVqlcZrSUlJsLGxgYWFBUaMGIHly5ejU6dO1a6rpKQEJSUl0vcFBQWPsUVERNRQzt24ge3nziEtNxelFRW6Hg4RkU71srLCSn9/XQ+jVjorLG7evImKigrY2tpqtNva2iI9Pb3a5fLz8+Ho6IiSkhLo6enh448/xqhRo6TXAwMDMXHiRLi6uuLixYt46623EBQUhOTkZOjp6VW5zqioKCxdurRhNoyIiB6LSgjsuXABa5RK/HTxoq6HQ0TUbNwqLtb1EOqkxT0VqmPHjkhLS0NhYSESExMRHh4ONzc3DB8+HAAwefJkqa+Hhwc8PT3h7u6OpKQkjBw5ssp1RkREIDw8XPpe/VgtIiJqfIWlpdicloa1KSn4z61bAAAZgLHdu2O4szNMeZ8cEbVxtiYmuh5CneissLCysoKenh5yc3M12nNzc2FnZ1ftcnK5HF27dgUAeHl54dy5c4iKipIKi0e5ubnBysoKFy5cqLawMDAw4A3eRERNLPOvv7A+JQWfHz+O/AeXo5oaGOCf/ftjpq8vXC0sdDxCIiKqD50VFvr6+vD29kZiYiImTJgA4P7N24mJiZg5c2ad16NSqTTuj3jUn3/+iVu3bsHe3l7bIRMRkZaEEDh06RLWKJX4LiMDqgfPD+lmaYnZCgVC+/VDR/6hh4ioRdLppVDh4eEIDQ2Fj48PfH19ERMTg6KiIkybNg0AEBISAkdHR0RFRQG4fy+Ej48P3N3dUVJSgt27d2PLli2IjY0FABQWFmLp0qWYNGkS7OzscPHiRSxYsABdu3bVeBwtERE1rXvl5dh6+jTWKJVIy8mR2ke5uWGOQoGgbt0gr0P4EhERNV86LSyCg4Nx48YNLF68GDk5OfDy8sKePXukG7qzs7Mhl/83w6+oqAivvfYa/vzzTxgZGaFnz5748ssvERwcDADQ09PDyZMnsXnzZuTl5cHBwQGjR4/GsmXLeKkTEZEOXLtzB7HHjmHjsWO48eDmQ6N27RDSrx9mKxTobW2t4xESEVFD0WmORXPFHAsiIu2kXr2KGKUSCadPo0ylAgB0NjXFzIED8bK3NyyNjHQ8QiIiqosWkWNBREStS7lKhR3nzmGNUolfL1+W2p9wcsIchQLP9OyJ9tU89puIiFo+FhZERKSV23fv4rPff8f6lBRcfhAw2l4ux/N9+mCOQoGBjo46HiERETUFFhZERPRYzt64gbVKJb44cQJ3y8sBANbGxnjVxwczfHxg37GjjkdIRERNiYUFERHVmUoI7L1wATGPpGP3s7XFHIUCUzw8YNiOv1qIiNoi/vQnIqJaVZeOPb5nT8xVKPCkszNkfFwsEVGbxsKCiIiqlZWXh/UpKfjs99810rFfepCO7cZ0bCIieoCFBRERaWA6NhERPQ4WFkREBIDp2EREpB0WFkREbVxOYSFijx7FxtRUXC8qAnA/HftFT0/MVijQx8ZGxyMkIqKWgIUFEVEbVVM69j8HDEAnY2Mdj5CIiFoSFhZERG1IuUqFnenpiDlyhOnYRETUoFhYEBG1Aep07A1HjyI7Px8A0E4uRzDTsYmIqIGwsCAiasXOqdOxT55EcVkZAMDK2BiventjxsCBcGA6NhERNRAWFkRErQzTsYmISBf4m4WIqJWoKR17jkKBYUzHJiKiRsTCgoiohWM6NhERNQcsLIiIWiAhBH7JzsYapRI709OldOyulpaY7euLMC8vpmMTEVGTYmFBRNSCMB2biIiaKxYWREQtANOxiYiouWNhQUTUjKVevYo1SiW2PpKO/frAgXiZ6dhERNSMsLAgImpmqkvHHty5M+YOGsR0bCIiapZYWBARNRN/PUjHXs90bCIiaoFYWBAR6RjTsYmIqDVgYUFEpAPqdOw1SiX2PpSO7fkgHfsFpmMTEVELw99aRERNqLC0FF+cOIG1SiUymI5NREStCAsLIqImwHRsIiJq7VhYEBE1EqZjExFRW8LCgoiogZU8lI59/KF0bH83N8xlOjYREbVSLCyIiBpITmEhNh47hthjx6R0bMN27RDCdGwiImoDWFgQEWmJ6dhEREQsLIiIHos6HXuNUonD2dlS++DOnTFHocDEXr2Yjk1ERG0KCwsionqoLh37+Qfp2L5MxyYiojaKhQURUR0wHZuIiKhmLCyIiKrBdGwiIqK6429EIqJHVJeOPa5HD8xRKDDcxYXp2ERERI9gYUFE9ADTsYmIiB6fXNcD2LBhA1xcXGBoaAiFQoGUlJRq+27fvh0+Pj4wNzdHhw4d4OXlhS1btmj0EUJg8eLFsLe3h5GREfz9/XH+/PnG3gwiaqGEEPjl0iVM2rYN7mvX4oPkZOSXlKCrpSXWBgbizzfewIcBASwqiIiIaqHTMxYJCQkIDw/Hxo0boVAoEBMTg4CAAGRkZMCmiiApS0tLvP322+jZsyf09fXxww8/YNq0abCxsUFAQAAAIDo6GmvXrsXmzZvh6uqKd955BwEBATh79iwMDQ2behOJqJmqKR17jkKBMUzHJiIiqheZEELo6s0VCgUGDhyI9evXAwBUKhWcnJwwa9YsLFq0qE7rGDBgAMaOHYtly5ZBCAEHBwfMmzcP8+fPBwDk5+fD1tYW8fHxmDx5cp3WWVBQADMzM+Tn58PU1PTxNo6ImqXq0rFffJCO3Zfp2ERERJL6HBfr7IxFaWkpUlNTERERIbXJ5XL4+/sjOTm51uWFEDhw4AAyMjKwatUqAEBmZiZycnLg7+8v9TMzM4NCoUBycnK1hUVJSQlKHlxPDdyfQCJqXX6/dg1rlEp8feqUlI7t2LEjZvr6Mh2biIioAeissLh58yYqKipga2ur0W5ra4v09PRql8vPz4ejoyNKSkqgp6eHjz/+GKNGjQIA5Dy4nKGqdeY8dKnDo6KiorB06dLH3RQiaqbKVSp8l56OGKZjExERNboW91Sojh07Ii0tDYWFhUhMTER4eDjc3NwwfPjwx15nREQEwsPDpe8LCgrg5OTUAKMlIl1gOjYREVHT01lhYWVlBT09PeTm5mq05+bmws7Ortrl5HI5unbtCgDw8vLCuXPnEBUVheHDh0vL5ebmwt7eXmOdXl5e1a7TwMAABgYGWmwNETUH6TdvYq1Sic0nTmikY7/i7Y3XmI5NRETUqHRWWOjr68Pb2xuJiYmYMGECgPs3bycmJmLmzJl1Xo9KpZLuj3B1dYWdnR0SExOlQqKgoABKpRIzZsxo6E0gomZAJQR+ungRMUeOVJmOPaVvXxi1b6/DERIREbUNOr0UKjw8HKGhofDx8YGvry9iYmJQVFSEadOmAQBCQkLg6OiIqKgoAPfvhfDx8YG7uztKSkqwe/dubNmyBbGxsQAAmUyGuXPnYvny5ejWrZv0uFkHBwepeCGi1oHp2ERERM2LTguL4OBg3LhxA4sXL0ZOTg68vLywZ88e6ebr7OxsyOX/zfArKirCa6+9hj///BNGRkbo2bMnvvzySwQHB0t9FixYgKKiIkyfPh15eXkYOnQo9uzZwwwLolbikjod+/hx5N27BwDoqK8vpWO7W1rqeIRERERtk05zLJor5lgQNS9CCBzOzkaMUomd6elQPfix1dXSErN9fRHm5YWOvE+KiIiowbWIHAsiotqUlJcj4cwZxBw5wnRsIiKiZo6FBRE1O+p07I3HjiGX6dhEREQtAgsLImo21OnYW0+fRmlFBYD76divDxyIl729YcV0bCIiomaLhQUR6RTTsYmIiFoHFhZEpBN/3b2Lz48fx7qUFKZjExERtQIsLIioSdWUjj3DxweOfBIbERFRi8TCgoganTode41SiT0XLkjtHjY2mKNQ4AUPD6ZjExERtXAsLIio0RQ9SMdew3RsIiKiVo+FBRE1OKZjExERtT0sLIioQajTsdcoldjxUDq2u4UFZisUCPPyginTsYmIiFotFhZEpJXq0rFHurpi7qBBTMcmIiJqI1hYENFjyX2Qjh3LdGwiIiICCwsiqiemYxMREVFVWFgQUa3U6dhrlEr88lA69qAH6diTmI5NRETU5tW7sFCpVIiPj8f27duRlZUFmUwGV1dXPPvss3jxxRf56EiiVoTp2ERERFRX9SoshBAYN24cdu/ejX79+sHDwwNCCJw7dw5hYWHYvn07du7c2UhDJaKmUlU6dicjI7zq48N0bCIiIqpSvQqL+Ph4HDp0CImJiXjqqac0Xjtw4AAmTJiAL774AiEhIQ06SCJqfEzHJiIiIm3IhHjwsPk6GD16NEaMGIFFixZV+fqKFSvw888/Y+/evQ02QF0oKCiAmZkZ8vPzYcq/zFIrp07HXpuSgvSbNwHcT8d+ukcPzGU6NhERUZtWn+Piep2xOHnyJKKjo6t9PSgoCGvXrq3PKolIRy7l5WHD0aP49PffmY5NREREWqtXYXH79m3Y2tpW+7qtrS3++usvrQdFRI1DCIFfL19GzJEjTMcmIiKiBlWvwqKiogLt2lW/iJ6eHsrLy7UeFBE1LHU69hqlEr9fuya1j3R1xRyFAmO6dYOeXK7DERIREVFLV++nQoWFhcGgmr9olpSUNMigiKhhVJeO/XcPD8xWKOBRwxlIIiIiovqoV2ERGhpaax8+EYpI944/SMf+munYRERE1ETqVVjExcU11jiISEtMxyYiIiJdqnfyNhE1L+p07PUpKbj0UDr2c717Y45CAUXnzjoeIREREbUFLCyIWqiMB+nY8UzHJiIiomaAhQVRCyIepGPHMB2biIiImhkWFkQtQE3p2HMUCjzFdGwiIiLSMRYWRM1YdenY/+jfH7OYjk1ERETNCAsLomZGnY69RqnE9nPnmI5NRERELQILC6JmoqS8HNvOnEEM07GJiIioBWJhQaRjTMcmIiKi1oCFBZGOVJWO7fAgHXs607GJiIiohWFhQdSEKlQqfJeRgTVKJQ5duiS1Mx2biIiIWjoWFkRNIO/ePXz2++9MxyYiIqJWS+d3gm7YsAEuLi4wNDSEQqFASkpKtX0//fRT+Pn5wcLCAhYWFvD396/UPywsDDKZTOMrMDCwsTeDqEoZN2/i9V270PnDD/Hmvn24lJ+PTkZGeGvoUGTNmYN/T5rEooKIiIhaBZ2esUhISEB4eDg2btwIhUKBmJgYBAQEICMjAzY2NpX6JyUlYcqUKXjiiSdgaGiIVatWYfTo0Thz5gwcHR2lfoGBgYiLi5O+N+CjOakJqdOx1yiV+PGhdOy+NjaYy3RsIiIiaqVkQjx4SL4OKBQKDBw4EOvXrwcAqFQqODk5YdasWVi0aFGty1dUVMDCwgLr169HSEgIgPtnLPLy8rBz587HHldBQQHMzMyQn58PU1PTx14PtS1FpaXYcvIk1iiVTMcmIiKiVqE+x8U6O2NRWlqK1NRURERESG1yuRz+/v5ITk6u0zqKi4tRVlYGy0fSh5OSkmBjYwMLCwuMGDECy5cvR6dOnRp0/ERq2fn5WJ+SUmU69kxfX3RlOjYRERG1ATorLG7evImKigrYPvKMfltbW6Snp9dpHQsXLoSDgwP8/f2ltsDAQEycOBGurq64ePEi3nrrLQQFBSE5ORl61Txtp6SkBCUlJdL3BQUFj7FF1JbUlI49y9cX0/r3Zzo2ERERtSkt9qlQK1euxNatW5GUlARDQ0OpffLkydK/PTw84OnpCXd3dyQlJWHkyJFVrisqKgpLly5t9DFTy8d0bCIiIqKq6aywsLKygp6eHnJzczXac3NzYWdnV+Oy77//PlauXIn9+/fD09Ozxr5ubm6wsrLChQsXqi0sIiIiEB4eLn1fUFAAJyenOm4JtQW5hYX4JDUVHx89ynRsIiIioirorLDQ19eHt7c3EhMTMWHCBAD3b95OTEzEzJkzq10uOjoa7733Hvbu3QsfH59a3+fPP//ErVu3YG9vX20fAwMDPjmKqsR0bCIiIqK60emlUOHh4QgNDYWPjw98fX0RExODoqIiTJs2DQAQEhICR0dHREVFAQBWrVqFxYsX49///jdcXFyQk5MDADAxMYGJiQkKCwuxdOlSTJo0CXZ2drh48SIWLFiArl27IiAgQGfbSS1LdenYCkdHzFEo8Gzv3kzHJiIiInqETguL4OBg3LhxA4sXL0ZOTg68vLywZ88e6Ybu7OxsyB+6Xj02NhalpaV49tlnNdYTGRmJJUuWQE9PDydPnsTmzZuRl5cHBwcHjB49GsuWLeMZCapV3r17+Pz337H+6FFk5eUBYDo2ERERUV3pNMeiuWKORduScfMm1iqV2HziBIrKygAAnYyM8Iq3N14bOBCO3AeIiIiojWoRORZEulRTOvYchQJTmY5NREREVC8sLKhNUadjr1Uqce6hdOy/de+OuYMGMR2biIiI6DGxsKA2ITs/HxsepGP/xXRsIiIiogbHwoJarYfTsXecO4cKpmMTERERNRoWFtTqqNOx1yiVSH0oHXvEg3TssUzHJiIiImpwLCyo1bheVISNx44xHZuIiIhIB1hYUIvHdGwiIiIi3WNhQS0S07GJiIiImhcWFtSiVJeO/eyDdOxBTMcmIiIi0gkWFtQi/OfWLaxVKhGflsZ0bCIiIqJmiIUFNVtCCOz74w/EHDnCdGwiIiKiZo6FBTU7NaVjz1EoMMLVlenYRERERM0MCwtqNqpLx57m5YVZCgXTsYmIiIiaMRYWpFNCCPz2IB17+0Pp2G4WFpjNdGwiIiKiFoOFBelEaUUFEk6fZjo2ERERUSvBwoKalDodO/bYMeQUFgIADPT08HdPT8xWKODJdGwiIiKiFomFBTWJtJwcrFEq8e9Tp5iOTURERNQKsbCgRlOhUuH/MjIQ80g6tq+jI+YyHZuIiIioVWFhQQ2O6dhEREREbQ8LC2ow1aVjT3+Qjt2Z6dhERERErRYLC9KKOh17jVKJ3efPS+19rK0xd9AgpmMTERERtREsLOixFJeVYcuJE1jDdGwiIiIiAgsLqqeq0rFN9PXxD6ZjExEREbVpLCyoVjWlY8/y9cU0Ly+YGRrqeJREREREpEssLKhapRUV2HbmDNYolTh29arU/pSLC+YOGsR0bCIiIiKSsLCgSpiOTURERET1xcKCJNWlY7/m44Pp3t6w7tBBxyMkIiIiouaKhUUbp07HXqNU4ucq0rEn9e4NfaZjExEREVEtWFi0UXn37mHT8eNYl5IipWPryWR4rk8fpmMTERERUb2xsGhjqkrHtjQywitMxyYiIiIiLbCwaANqSseeo1BgqqcnjJmOTURERERaYGHRiqnTsdempODsjRsA7qdjj+3eHXOZjk1EREREDYiFRSt0OT8fG44exb9SU5mOTURERERNgoVFK8F0bCIiIiLSJRYWLVxN6dhzFAr8rXt3pmMTERERUaNjYdFCXS8qwifHjuHjR9Kxp3p4YM6gQUzHJiIiIqImpfM/ZW/YsAEuLi4wNDSEQqFASkpKtX0//fRT+Pn5wcLCAhYWFvD396/UXwiBxYsXw97eHkZGRvD398f5h56E1NKl5eRg2nffoctHH2FxUhJyCgthb2KC5U89hctvvIHPx49nUUFERERETU6nhUVCQgLCw8MRGRmJ33//Hf369UNAQACuX79eZf+kpCRMmTIFBw8eRHJyMpycnDB69GhcuXJF6hMdHY21a9di48aNUCqV6NChAwICAnDvwU3MLVGFSoWd6ekYHh+P/p98gvi0NJRUVMDX0RFfTZyIrLlz8faTT8K6QwddD5WIiIiI2iiZEA/u8tUBhUKBgQMHYv369QAAlUoFJycnzJo1C4sWLap1+YqKClhYWGD9+vUICQmBEAIODg6YN28e5s+fDwDIz8+Hra0t4uPjMXny5DqNq6CgAGZmZsjPz4epDgPj8u/dw+fHj2N9SgoyH0rHfrZ3b8wdNIjp2ERERETUqOpzXKyzeyxKS0uRmpqKiIgIqU0ul8Pf3x/Jycl1WkdxcTHKyspg+eDxqZmZmcjJyYG/v7/Ux8zMDAqFAsnJyXUuLHTtP7duYZ1SiTimYxMRERFRC6GzwuLmzZuoqKiA7SP3A9ja2iI9Pb1O61i4cCEcHBykQiInJ0dax6PrVL9WlZKSEpSUlEjfFxQU1On9G8OdkhJ4bdyIu+XlAJiOTUREREQtQ4t9KtTKlSuxdetWJCUlwVDLfIaoqCgsXbq0gUamnY4GBpjq4YGcoiLMUSgwkunYRERERNQC6OzmbSsrK+jp6SE3N1ejPTc3F3Z2djUu+/7772PlypX46aef4OnpKbWrl6vvOiMiIpCfny99Xb58ub6b06A+efppfD9lCvzd3FhUEBEREVGLoLPCQl9fH97e3khMTJTaVCoVEhMTMXjw4GqXi46OxrJly7Bnzx74+PhovObq6go7OzuNdRYUFECpVNa4TgMDA5iammp86ZKcxQQRERERtTA6vRQqPDwcoaGh8PHxga+vL2JiYlBUVIRp06YBAEJCQuDo6IioqCgAwKpVq7B48WL8+9//houLi3TfhImJCUxMTCCTyTB37lwsX74c3bp1g6urK9555x04ODhgwoQJutpMIiIiIqJWT6eFRXBwMG7cuIHFixcjJycHXl5e2LNnj3TzdXZ2NuTy/55UiY2NRWlpKZ599lmN9URGRmLJkiUAgAULFqCoqAjTp09HXl4ehg4dij179mh9HwYREREREVVPpzkWzVVzybEgIiIiItKlFpFj0Zypay1dPnaWiIiIiEjX1MfDdTkXwcKiCnfu3AEAODk56XgkRERERES6d+fOHZiZmdXYh5dCVUGlUuHq1avo2LGjTh73WlBQACcnJ1y+fJmXYj0mzqH2OIfa4fxpj3OoPc6hdjh/2uMcak/XcyiEwJ07d+Dg4KBx73NVeMaiCnK5HJ07d9b1MJrFo29bOs6h9jiH2uH8aY9zqD3OoXY4f9rjHGpPl3NY25kKNZ3lWBARERERUevBwoKIiIiIiLTGwqIZMjAwQGRkJAwMDHQ9lBaLc6g9zqF2OH/a4xxqj3OoHc6f9jiH2mtJc8ibt4mIiIiISGs8Y0FERERERFpjYUFERERERFpjYUFERERERFpjYdEMbdiwAS4uLjA0NIRCoUBKSoquh9QsREVFYeDAgejYsSNsbGwwYcIEZGRkaPQZPnw4ZDKZxterr76q0Sc7Oxtjx46FsbExbGxs8Oabb6K8vLwpN0VnlixZUml+evbsKb1+7949vP766+jUqRNMTEwwadIk5ObmaqyjLc+fi4tLpfmTyWR4/fXXAXD/q8qhQ4fw9NNPw8HBATKZDDt37tR4XQiBxYsXw97eHkZGRvD398f58+c1+ty+fRtTp06FqakpzM3N8dJLL6GwsFCjz8mTJ+Hn5wdDQ0M4OTkhOjq6sTetydQ0h2VlZVi4cCE8PDzQoUMHODg4ICQkBFevXtVYR1X77sqVKzX6tNY5rG0fDAsLqzQ3gYGBGn24D9Y8h1X9XJTJZFi9erXUpy3vg3U5fmmo379JSUkYMGAADAwM0LVrV8THxzf25mkS1Kxs3bpV6Ovri02bNokzZ86Il19+WZibm4vc3FxdD03nAgICRFxcnDh9+rRIS0sTY8aMEV26dBGFhYVSn2HDhomXX35ZXLt2TfrKz8+XXi8vLxd9+/YV/v7+4vjx42L37t3CyspKRERE6GKTmlxkZKTo06ePxvzcuHFDev3VV18VTk5OIjExURw7dkwMGjRIPPHEE9LrbX3+rl+/rjF3+/btEwDEwYMHhRDc/6qye/du8fbbb4vt27cLAGLHjh0ar69cuVKYmZmJnTt3ihMnTohx48YJV1dXcffuXalPYGCg6Nevnzhy5Ij45ZdfRNeuXcWUKVOk1/Pz84Wtra2YOnWqOH36tPj666+FkZGR+OSTT5pqMxtVTXOYl5cn/P39RUJCgkhPTxfJycnC19dXeHt7a6zD2dlZvPvuuxr75sM/O1vzHNa2D4aGhorAwECNubl9+7ZGH+6DNc/hw3N37do1sWnTJiGTycTFixelPm15H6zL8UtD/P79448/hLGxsQgPDxdnz54V69atE3p6emLPnj1Ntq0sLJoZX19f8frrr0vfV1RUCAcHBxEVFaXDUTVP169fFwDEzz//LLUNGzZMzJkzp9pldu/eLeRyucjJyZHaYmNjhampqSgpKWnM4TYLkZGRol+/flW+lpeXJ9q3by+++eYbqe3cuXMCgEhOThZCcP4eNWfOHOHu7i5UKpUQgvtfbR49IFGpVMLOzk6sXr1aasvLyxMGBgbi66+/FkIIcfbsWQFAHD16VOrz448/CplMJq5cuSKEEOLjjz8WFhYWGnO4cOFC0aNHj0beoqZX1UHdo1JSUgQAcenSJanN2dlZfPTRR9Uu01bmsLrCYvz48dUuw31QU132wfHjx4sRI0ZotHEf/K9Hj18a6vfvggULRJ8+fTTeKzg4WAQEBDT2Jkl4KVQzUlpaitTUVPj7+0ttcrkc/v7+SE5O1uHImqf8/HwAgKWlpUb7V199BSsrK/Tt2xcREREoLi6WXktOToaHhwdsbW2ltoCAABQUFODMmTNNM3AdO3/+PBwcHODm5oapU6ciOzsbAJCamoqysjKN/a9nz57o0qWLtP9x/v6rtLQUX375Jf7xj39AJpNJ7dz/6i4zMxM5OTka+5yZmRkUCoXGPmdubg4fHx+pj7+/P+RyOZRKpdTnySefhL6+vtQnICAAGRkZ+Ouvv5poa5qP/Px8yGQymJuba7SvXLkSnTp1Qv/+/bF69WqNSyja+hwmJSXBxsYGPXr0wIwZM3Dr1i3pNe6D9ZObm4tdu3bhpZdeqvQa98H7Hj1+aajfv8nJyRrrUPdpymPIdk32TlSrmzdvoqKiQmOnAQBbW1ukp6fraFTNk0qlwty5czFkyBD07dtXan/hhRfg7OwMBwcHnDx5EgsXLkRGRga2b98OAMjJyalyftWvtXYKhQLx8fHo0aMHrl27hqVLl8LPzw+nT59GTk4O9PX1Kx2M2NraSnPT1ufvYTt37kReXh7CwsKkNu5/9aPe5qrm5OF9zsbGRuP1du3awdLSUqOPq6trpXWoX7OwsGiU8TdH9+7dw8KFCzFlyhSYmppK7bNnz8aAAQNgaWmJ3377DREREbh27Ro+/PBDAG17DgMDAzFx4kS4urri4sWLeOuttxAUFITk5GTo6elxH6ynzZs3o2PHjpg4caJGO/fB+6o6fmmo37/V9SkoKMDdu3dhZGTUGJukgYUFtUivv/46Tp8+jcOHD2u0T58+Xfq3h4cH7O3tMXLkSFy8eBHu7u5NPcxmJygoSPq3p6cnFAoFnJ2dsW3btib5gdOafP755wgKCoKDg4PUxv2PdKmsrAzPP/88hBCIjY3VeC08PFz6t6enJ/T19fHKK68gKiqqRaT5NqbJkydL//bw8ICnpyfc3d2RlJSEkSNH6nBkLdOmTZswdepUGBoaarRzH7yvuuOX1oKXQjUjVlZW0NPTq/QUgNzcXNjZ2eloVM3PzJkz8cMPP+DgwYPo3LlzjX0VCgUA4MKFCwAAOzu7KudX/VpbY25uju7du+PChQuws7NDaWkp8vLyNPo8vP9x/u67dOkS9u/fj3/+85819uP+VzP1Ntf0M8/Ozg7Xr1/XeL28vBy3b9/mfvkQdVFx6dIl7Nu3T+NsRVUUCgXKy8uRlZUFgHP4MDc3N1hZWWl8brkP1s0vv/yCjIyMWn82Am1zH6zu+KWhfv9W18fU1LTJ/njIwqIZ0dfXh7e3NxITE6U2lUqFxMREDB48WIcjax6EEJg5cyZ27NiBAwcOVDplWpW0tDQAgL29PQBg8ODBOHXqlMYvCfUv4d69ezfKuJuzwsJCXLx4Efb29vD29kb79u019r+MjAxkZ2dL+x/n7764uDjY2Nhg7NixNfbj/lczV1dX2NnZaexzBQUFUCqVGvtcXl4eUlNTpT4HDhyASqWSCrfBgwfj0KFDKCsrk/rs27cPPXr0aDWXT9REXVScP38e+/fvR6dOnWpdJi0tDXK5XLrEp63P4cP+/PNP3Lp1S+Nzy32wbj7//HN4e3ujX79+tfZtS/tgbccvDfX7d/DgwRrrUPdp0mPIJrtNnOpk69atwsDAQMTHx4uzZ8+K6dOnC3Nzc42nALRVM2bMEGZmZiIpKUnjcXXFxcVCCCEuXLgg3n33XXHs2DGRmZkpvvvuO+Hm5iaefPJJaR3qx7WNHj1apKWliT179ghra+tW/bjPh82bN08kJSWJzMxM8euvvwp/f39hZWUlrl+/LoS4/7i7Ll26iAMHDohjx46JwYMHi8GDB0vLt/X5E+L+k9q6dOkiFi5cqNHO/a9qd+7cEcePHxfHjx8XAMSHH34ojh8/Lj2xaOXKlcLc3Fx899134uTJk2L8+PFVPm62f//+QqlUisOHD4tu3bppPOozLy9P2NraihdffFGcPn1abN26VRgbG7eKx1QKUfMclpaWinHjxonOnTuLtLQ0jZ+N6ifF/Pbbb+Kjjz4SaWlp4uLFi+LLL78U1tbWIiQkRHqP1jyHNc3fnTt3xPz580VycrLIzMwU+/fvFwMGDBDdunUT9+7dk9bBfbDmz7EQ9x8Xa2xsLGJjYyst39b3wdqOX4RomN+/6sfNvvnmm+LcuXNiw4YNfNwsCbFu3TrRpUsXoa+vL3x9fcWRI0d0PaRmAUCVX3FxcUIIIbKzs8WTTz4pLC0thYGBgejatat48803NXIEhBAiKytLBAUFCSMjI2FlZSXmzZsnysrKdLBFTS84OFjY29sLfX194ejoKIKDg8WFCxek1+/evStee+01YWFhIYyNjcUzzzwjrl27prGOtjx/Qgixd+9eAUBkZGRotHP/q9rBgwer/NyGhoYKIe4/cvadd94Rtra2wsDAQIwcObLS3N66dUtMmTJFmJiYCFNTUzFt2jRx584djT4nTpwQQ4cOFQYGBsLR0VGsXLmyqTax0dU0h5mZmdX+bFTnq6SmpgqFQiHMzMyEoaGh6NWrl1ixYoXGgbMQrXcOa5q/4uJiMXr0aGFtbS3at28vnJ2dxcsvv1zpj3ncB2v+HAshxCeffCKMjIxEXl5epeXb+j5Y2/GLEA33+/fgwYPCy8tL6OvrCzc3N433aAoyIYRopJMhRERERETURvAeCyIiIiIi0hoLCyIiIiIi0hoLCyIiIiIi0hoLCyIiIiIi0hoLCyIiIiIi0hoLCyIiIiIi0hoLCyIiIiIi0hoLCyIiIiIi0hoLCyIianJJSUmQyWTIy8vT9VCIiKiBMHmbiIga3fDhw+Hl5YWYmBgAQGlpKW7fvg1bW1vIZDLdDo6IiBpEO10PgIiI2h59fX3Y2dnpehhERNSAeCkUERE1qrCwMPz8889Ys2YNZDIZZDIZ4uPjNS6Fio+Ph7m5OX744Qf06NEDxsbGePbZZ1FcXIzNmzfDxcUFFhYWmD17NioqKqR1l5SUYP78+XB0dESHDh2gUCiQlJSkmw0lImrjeMaCiIga1Zo1a/Cf//wHffv2xbvvvgsAOHPmTKV+xcXFWLt2LbZu3Yo7d+5g4sSJeOaZZ2Bubo7du3fjjz/+wKRJkzBkyBAEBwcDAGbOnImzZ89i69atcHBwwI4dOxAYGIhTp06hW7duTbqdRERtHQsLIiJqVGZmZtDX14exsbF0+VN6enqlfmVlZYiNjYW7uzsA4Nlnn8WWLVuQm5sLExMT9O7dG0899RQOHjyI4OBgZGdnIy4uDtnZ2XBwcAAAzJ8/H3v27EFcXBxWrFjRdBtJREQsLIiIqHkwNjaWigoAsLW1hYuLC0xMTDTarl+/DgA4deoUKioq0L17d431lJSUoFOnTk0zaCIikrCwICKiZqF9+/Ya38tksirbVCoVAKCwsBB6enpITU2Fnp6eRr+HixEiImoaLCyIiKjR6evra9x03RD69++PiooKXL9+HX5+fg26biIiqj8+FYqIiBqdi4sLlEolsrKycPPmTemsgza6d++OqVOnIiQkBNu3b0dmZiZSUlIQFRWFXbt2NcCoiYioPlhYEBFRo5s/fz709PTQu3dvWFtbIzs7u0HWGxcXh5CQEMybNw89evTAhAkTcPToUXTp0qVB1k9ERHXH5G0iIiIiItIaz1gQEREREZHWWFgQEREREZHWWFgQEREREZHWWFgQEREREZHWWFgQEREREZHWWFgQEREREZHWWFgQEREREZHWWFgQEREREZHWWFgQEREREZHWWFgQEREREZHWWFgQEREREZHWWFgQEREREZHW/h9RhVKPNXd12wAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def D_ramp(t):\n", " return 0.20 + 0.15 * np.clip(t / 1000.0, 0.0, 1.0)\n", "\n", "t_plot = np.linspace(0, 2000, 500)\n", "fig, ax = plt.subplots(figsize=(8, 2.5))\n", "ax.plot(t_plot, [D_ramp(t) for t in t_plot], color='teal')\n", "ax.set_xlabel('time'); ax.set_ylabel('D'); ax.set_title('Time-evolving diffusion coefficient')\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Figure.** The diffusion coefficient ramp: $D$ increases linearly from 0.20 to 0.35 W m⁻² °C⁻¹ over the first 1000 yr, then holds constant. Stronger diffusion = more efficient poleward heat transport." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model_D = EBM1DLat(S0=1365.0, grid_n=50, D=D_ramp)\n", "out_D = model_D.integrate(t_span=(0, 2000), y0=[15.0], method='RK45')\n", "\n", "T_final_D = np.array([out_D.state_variables[f'T_{i}'][-1] for i in range(grid_n)])\n", "\n", "fig, ax = plt.subplots(figsize=(8, 4))\n", "ax.plot(phi, T_final, color='steelblue', ls='--', label=f'constant D=0.35 (ice line {ice_line[-1]:.0f}°)')\n", "ax.plot(phi, T_final_D, color='firebrick',\n", " label=f'D ramp 0.20→0.35 (ice line {out_D.diagnostic_variables[\"ice_line_lat\"][-1]:.0f}°)')\n", "ax.axhline(-10, color='k', ls=':', lw=0.8)\n", "ax.set_xlabel('latitude (°)'); ax.set_ylabel('T (°C)')\n", "ax.set_title('Effect of increasing meridional diffusion'); ax.legend()\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Figure.** Final latitude profiles for constant $D=0.35$ vs the ramp ($D: 0.20 \\to 0.35$). The ramp case spends most of its integration with weaker diffusion, so the equilibrium is colder and the ice line sits further equatorward (~57° vs ~65°). This illustrates how the diffusion coefficient controls both the pole-to-equator temperature gradient and the extent of polar ice." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solver notes\n", "\n", "- **Temperature in °C.** Initial conditions and the albedo thresholds (−10 °C, 0 °C) are in Celsius. Kelvin initial conditions will produce incorrect results.\n", "- **`uses_post_history = True`**: `dydt` has no side effects. Diagnostics (`Tglobal`, `ice_line_lat`) are computed from the full solved trajectory after `integrate()` returns.\n", "- **Scalar `y0`** is broadcast uniformly to all `grid_n` grid points. An array `y0` must have length exactly `grid_n`.\n", "- The model has **two stable equilibria** from most parameter sets — a warm state and a snowball state. Initial conditions determine which basin you land in.\n", "- Both the fixed-step `rk4` and adaptive `RK45` solvers work. Equilibration takes O(1000) model years; use a long `t_span`:\n", "\n", "```python\n", "# Fixed step — predictable, easy to reproduce\n", "output = model.integrate(t_span=(0, 2000), y0=[15.0], method='rk4', dt=1.0)\n", "\n", "# Adaptive step — usually faster\n", "output = model.integrate(t_span=(0, 2000), y0=[15.0], method='RK45')\n", "```" ] } ], "metadata": { "kernelspec": { "display_name": "pb_env_jpl", "language": "python", "name": "pb_env_jpl", "path": "/Users/jlanders/Library/Jupyter/kernels/pb_env_jpl" }, "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 4 }