{ "cells": [ { "cell_type": "markdown", "id": "cell-0", "metadata": {}, "source": [ "# TwoBoxCarbon and BoxModelSpec — Carbon Cycle Box Models\n", "\n", "**Author:** Jordan Landers \n", "**Date:** last-modified\n", "\n", "_Description:_ `TwoBoxCarbon` air-sea exchange, `BoxModelSpec` declarative network framework, concentration-gradient flux, three-box extension, biological pump, mass conservation\n", "\n", "_Abstract_\n", "\n", "> This notebook demonstrates two approaches to building carbon cycle box models. `TwoBoxCarbon` is a concrete two-reservoir model tracking atmospheric and surface-ocean carbon inventories via concentration-gradient exchange. `BoxModelSpec` provides a declarative framework for assembling arbitrary box networks using exchange and transport links, enabling three-box and more complex topologies without subclassing.\n", "\n", "**Keywords:** TwoBoxCarbon, BoxModelSpec, carbon cycle, box model, air-sea exchange, concentration gradient, mass conservation, biological pump, network topology, declarative\n", "## Overview\n", "\n", "Two complementary approaches to building box models in ClimateCritters.\n", "\n", "### TwoBoxCarbon\n", "\n", "A concrete model tracking atmospheric (`A`) and surface-ocean (`S`) carbon inventories.\n", "Exchange is driven by the **concentration** gradient (not raw inventory difference),\n", "so mass conservation holds even when boxes have different volumes:\n", "\n", "$$F_{A\\leftrightarrow S} = k\\left(\\frac{A}{V_{\\text{atm}}} - \\frac{S}{V_{\\text{surf}}}\\right)$$\n", "\n", "$$\\frac{dA}{dt} = -F + R - l_s A \\qquad \\frac{dS}{dt} = F$$\n", "\n", "### BoxModelSpec\n", "\n", "A declarative framework for building any ODE box model without writing a full `CCModel`\n", "subclass. Supports explicit callable tendencies **or** automatic network assembly from\n", "reciprocal exchange and directed transport terms.\n", "\n", "### Parameters — TwoBoxCarbon\n", "\n", "| Name | Description | Default |\n", "|------|-------------|--------|\n", "| `k` | Air-sea exchange rate constant | 0.2 |\n", "| `R` | Atmospheric carbon source flux | 0.0 |\n", "| `l_s` | First-order atmospheric loss | 0.0 |\n", "| `V_atm` | Atmospheric box volume | 1.0 |\n", "| `V_surf` | Surface-ocean box volume | 1.0 |\n", "\n", "Diagnostic: `net_flux` (atmospheric tendency `dA/dt`)." ] }, { "cell_type": "code", "execution_count": 1, "id": "d1624cd6bc50d199", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import climatecritters as cc\n", "from climatecritters.model_critters.two_box_carbon import TwoBoxCarbon\n", "from climatecritters.model_critters.box_model import BoxModelSpec" ] }, { "cell_type": "markdown", "id": "bm-twobox-h2", "metadata": {}, "source": [ "## TwoBoxCarbon" ] }, { "cell_type": "markdown", "id": "bm-closed-h3", "metadata": {}, "source": [ "### Closed system: mass conservation\n", "\n", "With `R=0` and `l_s=0` the system is closed: total carbon `A + S` must remain constant to numerical precision. This checks that the concentration-gradient exchange (not raw inventory difference) conserves mass correctly even when `V_atm ≠ V_surf`." ] }, { "cell_type": "code", "execution_count": 2, "id": "cell-4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initial total: 300.000000\n", "Final total: 300.000000\n", "Max drift: 1.71e-13 (numerical precision)\n" ] } ], "source": [ "# Closed system: V_atm ≪ V_surf — atmosphere equilibrates to surface ocean concentration\n", "model_closed = TwoBoxCarbon(k=0.2, R=0.0, l_s=0.0, V_atm=1.0, V_surf=50.0)\n", "out_closed = model_closed.integrate(t_span=(0, 100), y0=[100.0, 200.0], method='RK45')\n", "\n", "A_c = out_closed.state_variables['A']\n", "S_c = out_closed.state_variables['S']\n", "total = A_c + S_c\n", "\n", "print(f'Initial total: {total[0]:.6f}')\n", "print(f'Final total: {total[-1]:.6f}')\n", "print(f'Max drift: {np.max(np.abs(total - total[0])):.2e} (numerical precision)')" ] }, { "cell_type": "code", "execution_count": 3, "id": "cell-5", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t_c = np.asarray(out_closed.time)\n", "\n", "fig, ax = plt.subplots(figsize=(9, 4))\n", "ax.plot(t_c, A_c, color='steelblue', lw=1.2, label='A (atmosphere)')\n", "ax.plot(t_c, S_c, color='firebrick', lw=1.2, label='S (surface ocean)')\n", "ax.plot(t_c, total, 'k--', lw=1.0, label='A + S (conserved)')\n", "ax.set_xlabel('time'); ax.set_ylabel('carbon inventory')\n", "ax.set_title('TwoBoxCarbon — closed system, V_atm=1, V_surf=50')\n", "ax.legend()\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "bm-closed-cap", "metadata": {}, "source": [ "**Figure.** Both inventories relax toward a shared equilibrium concentration ($A/V_{\\rm atm} = S/V_{\\rm surf}$). Because $V_{\\rm surf} = 50 \\times V_{\\rm atm}$, the atmosphere ends up with roughly 1/51 of the total carbon. The dashed `A + S` line is flat to floating-point precision throughout." ] }, { "cell_type": "markdown", "id": "bm-forced-h3", "metadata": {}, "source": [ "### Forced case: time-varying carbon source\n", "\n", "A step-on/step-off pulse in `R` simulates an emission event. Registered via `register_forcing` so it is time-varying." ] }, { "cell_type": "code", "execution_count": 4, "id": "cell-7", "metadata": {}, "outputs": [], "source": [ "# Pulse: R=1 for 0 ≤ t < 30, then R=0 (atmosphere relaxes back)\n", "pulse = cc.Forcing(lambda t: 1.0 if t < 30.0 else 0.0)\n", "\n", "model_forced = TwoBoxCarbon(k=0.2, l_s=0.05, V_atm=1.0, V_surf=1.0)\n", "model_forced.register_forcing('R', pulse)\n", "out_forced = model_forced.integrate(t_span=(0, 150), y0=[0.0, 0.0], method='RK45')\n", "\n", "t_f = np.asarray(out_forced.time)" ] }, { "cell_type": "code", "execution_count": 5, "id": "cell-8", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3, 1, figsize=(10, 7), sharex=True)\n", "\n", "# Forcing\n", "axes[0].step(t_f, [pulse.get_forcing(tt) for tt in t_f], where='post',\n", " color='goldenrod', lw=1.2)\n", "axes[0].set_ylabel('R (carbon/time)'); axes[0].set_title('Carbon source pulse')\n", "\n", "# State variables\n", "axes[1].plot(t_f, out_forced.state_variables['A'], color='steelblue', lw=1.2, label='A')\n", "axes[1].plot(t_f, out_forced.state_variables['S'], color='firebrick', lw=1.2, label='S')\n", "axes[1].set_ylabel('inventory'); axes[1].set_title('A and S inventories')\n", "axes[1].legend()\n", "\n", "# Net flux\n", "axes[2].plot(t_f, out_forced.diagnostic_variables['net_flux'], color='purple', lw=1.0)\n", "axes[2].axhline(0, color='k', lw=0.5, ls='--')\n", "axes[2].set_ylabel('dA/dt'); axes[2].set_title('Net atmospheric flux (→ 0 at steady state)')\n", "axes[2].set_xlabel('time')\n", "\n", "fig.suptitle('TwoBoxCarbon — step-on/step-off carbon pulse')\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "bm-forced-cap", "metadata": {}, "source": [ "**Figure.** Top: step forcing pulse ($R=1$ for $t<30$, then off). Middle: $A$ rises during the pulse then decays as air-sea exchange transfers carbon to the ocean; $S$ follows with a slight lag and retains most of the perturbation. Bottom: net atmospheric flux is positive (net source) during the pulse, then negative (net uptake by ocean) during relaxation." ] }, { "cell_type": "markdown", "id": "bm-spec-h2", "metadata": {}, "source": [ "## BoxModelSpec" ] }, { "cell_type": "markdown", "id": "bm-spec-rebuild-h3", "metadata": {}, "source": [ "### Declarative rebuild of TwoBoxCarbon\n", "\n", "`BoxModelSpec` lets you define the same equations without subclassing `CCModel`. Register state variables, parameters, tendency relations, and diagnostics; call `make_boxmodel()` to get an integrable model.\n", "\n", "The spec below reproduces `TwoBoxCarbon` exactly — outputs match to floating-point precision." ] }, { "cell_type": "code", "execution_count": 6, "id": "cell-10", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "max |A_generic − A_concrete| = 0.00e+00\n", "max |S_generic − S_concrete| = 0.00e+00\n" ] } ], "source": [ "spec = BoxModelSpec('two_box_carbon_generic')\n", "spec.register_state_variables(['A', 'S'])\n", "spec.register_diagnostic_variables(['net_flux'])\n", "spec.register_parameters(k=0.2, R=0.0, l_s=0.05, V_atm=1.0, V_surf=1.0)\n", "spec.register_input('R', fallback_param='R') # R can be overridden by register_forcing\n", "\n", "def exchange_flux(ctx):\n", " return ctx.param('k') * (ctx['A'] / ctx.param('V_atm') - ctx['S'] / ctx.param('V_surf'))\n", "\n", "spec.register_relations({\n", " 'A': lambda ctx: -exchange_flux(ctx) + ctx.input('R') - ctx.param('l_s') * ctx['A'],\n", " 'S': lambda ctx: exchange_flux(ctx),\n", "})\n", "spec.register_diagnostic(\n", " 'net_flux',\n", " lambda ctx: -exchange_flux(ctx) + ctx.input('R') - ctx.param('l_s') * ctx['A'],\n", ")\n", "\n", "model_generic = spec.make_boxmodel()\n", "model_generic.register_forcing('R', pulse)\n", "out_generic = model_generic.integrate(t_span=(0, 150), y0=[0.0, 0.0], method='RK45')\n", "\n", "# Verify: should match the concrete model output to floating-point precision\n", "max_diff_A = np.max(np.abs(out_generic.state_variables['A'] - out_forced.state_variables['A']))\n", "max_diff_S = np.max(np.abs(out_generic.state_variables['S'] - out_forced.state_variables['S']))\n", "print(f'max |A_generic − A_concrete| = {max_diff_A:.2e}')\n", "print(f'max |S_generic − S_concrete| = {max_diff_S:.2e}')" ] }, { "cell_type": "markdown", "id": "bm-network-h3", "metadata": {}, "source": [ "### Automatic network: exchange and transport\n", "\n", "For larger networks `BoxModelSpec` supports two link types:\n", "- **Reciprocal exchange** `register_exchange(left, right, rate)` — symmetric, concentration-gradient flux\n", "- **Directed transport** `register_transport(source, target, rate)` — one-way, proportional to source concentration" ] }, { "cell_type": "code", "execution_count": 7, "id": "cell-12", "metadata": {}, "outputs": [], "source": [ "three_box = BoxModelSpec('atm_surf_deep')\n", "three_box.register_state_variables(['A', 'S', 'D'])\n", "three_box.register_box_volumes(A=1.0, S=50.0, D=300.0)\n", "\n", "# A ↔ S: bidirectional air-sea exchange\n", "three_box.register_exchange('A', 'S', rate=0.2)\n", "# S → D: biological pump (directed export from surface to deep)\n", "three_box.register_transport('S', 'D', rate=0.05)\n", "\n", "# External atmospheric source pulse\n", "three_box.register_source('A', value=0.0) # will be overridden below\n", "\n", "model_3box = three_box.make_boxmodel()\n", "model_3box.register_forcing('source__A', cc.Forcing(lambda t: 0.5 if t < 30 else 0.0))\n", "\n", "# Start at approximate pre-perturbation steady state\n", "out_3box = model_3box.integrate(t_span=(0, 200), y0=[800.0, 900.0, 37000.0], method='RK45')" ] }, { "cell_type": "code", "execution_count": 8, "id": "cell-13", "metadata": {}, "outputs": [ { "data": { "image/png": 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bN28CAA4ePIjk5GQMHjxYZ32bmZnB399f7/oeN26czuvt27fD3t4eL7zwgk4ffn5+sLW1NeoK/A4ODjhx4gRu375t8DglCQkJ0XkfFCd/XE5ODu7fv4/69evDwcFB5/3yww8/oHnz5jrrQUu7vA3d5kpy584dREdHIyQkBPb29lL7Cy+8AG9vb51YQ9dFadZ7/gvOaU+5yM7Oxq+//iq1h4eHQwhR4u2TjHnP+Pj4YP78+di0aROCgoJw7949bNmyRTpHV6PRYNeuXejdu7fez4SCh+mWtE0Auu+DR48e4d69e+jQoQPS09Nx9epVnf5sbW11rsWhUCjQtm1bnc/lffv2oVatWnjppZekNktLS4wePVqnr+joaFy7dg2vvfYa7t+/Ly2XtLQ0dOvWDb/99hs0Gk2xyzb/8rx37x7S09Oh0WgKtRt6ikOfPn1Qq1Yt6XXbtm3h7++PX375pchxtMOmTJmi0z516lQA0DmFSN+4Li4uGDx4sNRmYWGBt956C6mpqThy5AiAx8vUwsJCZxnK5XKEhoaWOE+7du2CRqPBnDlzIJfrfgXP/94w5n1gKGM+vw3l7e2NgIAA6bX2/1DXrl1Rp06dQu0FvzMAhm3fRJUBr+5ARCXK/88TAKpVqwYAhYq0WrVq6RTnwON7El+5cgWOjo56+05KSpLihBBo0KCB3jgLCwsAQGpqKlJTU6V2MzMznb7r169f6Mtuw4YNATy+/6uLiwtu3rwpfQnIr0mTJgAenwPp4+MDAPDy8pLOvfbx8cHs2bP15lfQgwcPMH/+fGzdulWaR62UlBSD+gAKL3tt8ePu7q63XbtOtF/kGzVqVKjPxo0b448//gDw+IeSxYsXY+rUqXB2dka7du3Qq1cvDBs2DC4uLjrjGbJsi8q74Hvm2rVrACAVggWpVCqd1+bm5qhdu7ZO27Vr15CSkgInJye9fWiXe0pKCjIyMvTGODo6wszMDEuWLEFISAjc3d3h5+eHF198EcOGDUO9evX0jmeIunXrGhybkZGBhQsXYvPmzbh165bOOY353y+xsbHo379/sX0Zus09ePCg0HnHWtrtBIDebbJRo0Y6PwYYui6MXe9yubzQOsj/njOWoXlqTZs2DVu3bsXJkyfx4Ycf6vzYcPfuXajVaumzoiSGfI5eunQJs2bNwqFDh6BWq3XiC35u1K5du9D2WK1aNZw/f156ffPmTXh5eRWKq1+/vs5r7XoJCQkpMv+UlBQpZ32Ker8VbN+8ebPeayMUpO9917BhQ3z33XdFjnPz5k3I5fJC8+fi4gIHBwedHzj0jdugQYNCxXD+/wvav66uroUuElpwmvrExsZCLpcX+tGqIGPeB4Yy5vPbUKX9/6RV1ts3UUXGopuISmRmZqa3PX9hAEDvXj2NRgNfX18sX75cbx/af84ajQYymQx79+7VOz1bW1sAwEcffYT58+dL7R4eHib/56y9wM3t27dx//59g76cDBgwAMeOHcO0adPQokUL2NraQqPRoEePHiXuMcqvqGVv6DoxxKRJk9C7d2/s2rUL+/fvx+zZs7Fw4UIcOnQILVu2NLo/Q/LTLoMvv/xS7/IseMVfpVJZ6MuwRqOBk5MTvv76a73T0n7Znzhxot6LIQFAXFwcPD09MWDAAHTo0AE7d+7EgQMHsHTpUixevBg7duxAz549ARR9j/u8vDy982voXm4AmDBhAjZv3oxJkyYhICAA9vb2kMlkGDRokFHvF8Dwba5fv37S3ruCjH0fGboujF3vZc3QPLX+/vtvqSDVXsCwtEraJpKTk9GpUyeoVCq899578PLygqWlJc6ePYsZM2YUeh+U5WeAtu+lS5eiRYsWemO0n8FFOXjwoM7rL774AgcOHMBXX32l0960aVOj8zNWUdvqs8DY90FZKu4zTp+n8f+JqLJg0U1EJuXl5YVz586hW7duxX4R8vLyghACdevWlX7p1mfYsGE6h4UXLGyuX78OIYTOtP766y8AkA499fDwQExMTKG+tYftaa8wDQDr16/HwYMH8cEHH2DhwoV444038OOPPxYzx49/zY+IiMD8+fMxZ84cqV375T0/U3051M5DTExMob2KMTExOvMIPF7+U6dOxdSpU3Ht2jW0aNECy5Yt0/nCbMiyNZSXlxcAwMnJCYGBgUaNm7+PX3/9Fe3bty+2wJ0+fbreW+IB0Cn8XF1d8eabb+LNN99EUlISWrVqhQ8++EAquqtVq4bk5ORCfdy8efOJ9ogDwPfff4+QkBAsW7ZMasvMzCw0PS8vr0JXcC7I0G1u2bJlxZ5SoH2P6HvfFtx+DF0Xxq53jUaDv//+W+czobTvOWPy1E57+PDhUKlUmDRpEj788EO88sor6NevH4DHBbpKpSpxfRgqMjIS9+/fx44dO9CxY0epPS4urtR9enh44PLly4W224J3n9CuF5VKVertseB4f/zxBywtLUvdn7733V9//VXsevfw8IBGo8G1a9ekPdQAkJiYiOTk5EKfewXHPX/+PDQajc4PfAX/L3h4eODw4cOFbolZcJnq4+XlBY1Gg8uXLxf544Yp3gfa/Er6/NYeyZCcnKxzW8PijhB4EmW9fRNVZDynm4hMasCAAbh16xY+/fTTQsMyMjKQlpYG4PFeNzMzM8yfP7/Qr+FCCOlWW/Xq1UNgYKD0aN++vU7s7du3dW5ppFar8cUXX6BFixZSgfXiiy/i5MmTiIqKkuLS0tKwceNGeHp6Sof+xcXFYdq0aejfvz/eeecdfPTRR/jpp5/wxRdfFDvP2l/5C87HypUrC8Vq7zWtr5h7Eq1bt4aTkxPWr1+vcw7l3r17ceXKFQQHBwN4fC/1zMxMnXG9vLxgZ2dX6NxLQ5atoYKCgqBSqfDhhx/qvc2TvtuLFTRgwADk5eVhwYIFhYbl5uZKy9Tb21vnPZP/YWlpiby8vEKHbDo5OcHNzU1nGXh5eeH48eM6h2Tv3r3b6Fva6WNmZlbo/fLxxx8X2sPUv39/nDt3Tu9tu7TjG7rN+fn5FblcgMc/QrRo0QJbtmzRWT4HDx6UrnugZei6KM16X7Nmjc48rlmzBhYWFujWrZvUbugtwwzNEwCWL1+OY8eOYePGjViwYAGee+45jBs3Tro1m1wuR58+ffDzzz/j9OnThfozdq+evs+N7OxsfPLJJ0b1k19QUBBu3bqFn376SWrLzMws9N7w8/ODl5cXPvroI53Td7QM2R7L2q5du3Rub3jy5EmcOHFC+hFMnxdffBFA4c9a7VEf2s+9osZNSEjAtm3bpLbc3Fx8/PHHsLW1RadOnQA8XqY5OTk6y1Cj0WDt2rUlzlOfPn0gl8vx3nvvFdpjrV3vpngfAIZ9fmt/fPntt9+kuLS0tCKPFCoLhmzfRJUB93QTkUkNHToU3333HcaOHYvDhw+jffv2yMvLw9WrV/Hdd99h//79aN26Nby8vPD+++8jLCwMN27cQJ8+fWBnZ4e4uDjs3LkTY8aMwdtvv13i9Bo2bIhRo0bh1KlTcHZ2xueff47ExERs3rxZipk5cya+/fZb9OzZE2+99RaqV6+OLVu2IC4uDj/88APkcjmEEBg5ciSsrKywbt06AMAbb7yBH374ARMnTkRgYCDc3Nz05qBSqdCxY0csWbIEOTk5qFWrFg4cOKB3T4Wfnx8A4N1338WgQYNgYWGB3r17S8V4aVlYWGDx4sUYMWIEOnXqhMGDByMxMRGrVq2Cp6cnJk+eDODxXoVu3bphwIAB8Pb2hrm5OXbu3InExEQMGjTI6GVrKJVKhXXr1mHo0KFo1aoVBg0aBEdHR8THx2PPnj1o3769zpcxfTp16oQ33ngDCxcuRHR0NLp37w4LCwtcu3YN27dvx6pVq/DKK6+UmMujR49Qu3ZtvPLKK2jevDlsbW3x66+/4tSpUzp7nl9//XV8//336NGjBwYMGIDY2Fh89dVX0hfVJ9GrVy98+eWXsLe3h7e3N6KiovDrr7+iRo0aOnHTpk3D999/j1dffRUjR46En58fHjx4gJ9++gnr169H8+bNDd7mDLFw4UIEBwfj+eefx8iRI/HgwQN8/PHHaNq0qU5xZui6MHa9W1paYt++fQgJCYG/vz/27t2LPXv24J133tE5FDwsLEzahovbQ2ZonleuXMHs2bMxfPhw9O7dG8Dji7W1aNECb775pnRe8YcffogDBw6gU6dOGDNmDJo0aYI7d+5g+/bt+OOPP3T2FpbkueeeQ7Vq1RASEoK33noLMpkMX3755RMdkvvGG29gzZo1GDx4MCZOnAhXV1d8/fXX0sUVtXs95XI5Nm3ahJ49e6Jp06YYMWIEatWqhVu3buHw4cNQqVT4+eefS51HadSvXx/PP/88xo0bh6ysLKxcuRI1atTA9OnTixynefPmCAkJwcaNG6XDtE+ePIktW7agT58+6NKlS5HjjhkzBhs2bMDw4cNx5swZeHp64vvvv8fRo0excuVK6cKVffr0Qdu2bTF16lRcv34djRs3xk8//YQHDx4AKP7opfr16+Pdd9/FggUL0KFDB/Tr1w9KpRKnTp2Cm5sbFi5caJL3AWDY53f37t1Rp04djBo1CtOmTYOZmRk+//xzaRsta4Zu30SVwlO5RjoRVViG3DJs+/btOu3aW7rkvzVKp06dRNOmTfX2k52dLRYvXiyaNm0qlEqlqFatmvDz8xPz588XKSkpOrE//PCDeP7554WNjY2wsbERjRs3FqGhoSImJqbEefHw8BDBwcFi//79olmzZkKpVIrGjRsXyl8IIWJjY8Urr7wiHBwchKWlpWjbtq3YvXu3NFx7W7T8t1gRQoj4+HihUqnEiy++WGwu//77r+jbt69wcHAQ9vb24tVXXxW3b98WAMTcuXN1YhcsWCBq1aol5HK5zm1ZABS6jVVRt5wqal1t27ZNtGzZUiiVSlG9enUxZMgQndvwaG+F1rhxY2FjYyPs7e2Fv7+/+O6770q1bLW3lil4CyVtfvlvGaNtDwoKEvb29sLS0lJ4eXmJ4cOHi9OnT0sxISEhwsbGRv+CFkJs3LhR+Pn5CSsrK2FnZyd8fX3F9OnTxe3bt4scJ7+srCwxbdo00bx5c2FnZydsbGxE8+bNxSeffFIodtmyZaJWrVpCqVSK9u3bi9OnTxd5yzB977ui1t/Dhw/FiBEjRM2aNYWtra0ICgoSV69e1Xubsvv374vx48eLWrVqCYVCIWrXri1CQkLEvXv3pBhjtrmS/PDDD6JJkyZCqVQKb29vsWPHjiJvVWToujBmvcfGxkr3HXd2dhZz584tdLslY+7TXVKeubm5ok2bNqJ27do6t/MS4v8/F7Zt2ya13bx5UwwbNkw4OjoKpVIp6tWrJ0JDQ6XbLBqzTRw9elS0a9dOWFlZCTc3NzF9+nTpNkz544r6vNW3Xv7++28RHBwsrKyshKOjo5g6dap026vjx4/rxP7555+iX79+okaNGkKpVAoPDw8xYMAAERERYdByze9Jbxm2dOlSsWzZMuHu7i6USqXo0KGDOHfuXKFpFPz/lZOTI+bPny/q1q0rLCwshLu7uwgLC9O51ZYQhW8ZJoQQiYmJ0naoUCiEr6+vzv85rbt374rXXntN2NnZCXt7ezF8+HBx9OhRAUBs3bq12PyEEOLzzz+XPperVasmOnXqJA4ePCgNN/R9YMwtwwz933jmzBnh7+8vFAqFqFOnjli+fHmRtwwLDg4uNL6h/7eM2b6JKgOZELyqARERFc/T0xM+Pj7YvXt3eadCVcTw4cPx/fff6z3cmZ7MypUrMXnyZPz77786t+Wi0tu1axf69u2LP/74o9BpT+WtIn5+c/umqobndBMRERFVUgVvl5eZmYkNGzagQYMGLLhLqeAyzcvLw8cffwyVSoVWrVqVU1ZEVJHxnG4iIiKiSqpfv36oU6cOWrRogZSUFHz11Ve4evVqkbdNo5JNmDABGRkZCAgIQFZWFnbs2IFjx47hww8/NOpWgURUdbDoJiIiIqqkgoKCsGnTJnz99dfIy8uDt7c3tm7dioEDB5Z3as+srl27YtmyZdi9ezcyMzNRv359fPzxxxg/fnx5p0ZEFRTP6SYiIiIiIiIyEZ7TTURERERERGQiLLqJiIiIiIiITITndJcRjUaD27dvw87ODjKZrLzTISIiIiIiIhMSQuDRo0dwc3ODXF70/mwW3WXk9u3bcHd3L+80iIiIiIiI6Cn6559/ULt27SKHs+guI3Z2dgAeL3CVSlXO2RAREREREZEpqdVquLu7S7VgUVh0lxHtIeUqlYpFNxERERERURVR0unFvJAaERERERERkYmw6CYiIiIiIiIyERbdRERERERERCbCopuIiIiIiIjIRFh0ExEREREREZkIi24iIiIiIiIiE2HRTURERERERGQiLLqJiIiIiIiITIRFNxEREREREZGJsOgmIiIiIiIiMhHz8k6AiIiIiKgoQoj/nhjxXOQb10TPS5XXkzx/CvPE51X8OfDE79Wy6KNgfy9vfhkKWwWeZSy6iYgKMOZLj6Fthjw3xbRK+8XO0DaDp1XaHMtqGZW2/9LOgwnWSVH9PbXlWhbL8L/npl4OZdHfszLeEy+DMpzmE09fT39ERL029CrvFJ4Yi+4q5Oyms8jJyHn8Iv8/tiJeF/oHmL/d0HGK+adqSIyh/Rk9fjH/+I3t29AioNi89E2ziH6KHaekfkoapzR5lGadGTCdJ13nBk1Tz/hE9AySATKZrOjn2pclPC+2jyfsu8ymI/+vD8hMM50nnLfyWJ7GTv9pTMNkz8swdz7nc73PgSd+r5okp2cci+4qJCIsAun30ss7japF3wdSgQ8Ug/6hGzkOgMdfzAqOY0wexcXq+dL3RF9MSjO+ofNU0jRL2WZIngavy9LOQylyMvV0nyjW0LayWAZPsOzKYhpPc5kWla/B03jay9jY8YiIiCo4Ft1VyKAfB0GTq9H94gIY97rgF51ivjwV1Z7/y1OhmCeNLTBeaaZVZgUKERERERFVeSy6qxD359zLOwUiIiIiIqIqhbcMIyIiIiIiIjIRFt1EREREREREJsKim4iIiIiIiMhEWHQTERERERERmQiLbiIiIiIiIiITYdFNREREREREZCIsuomIiIiIiIhMhEU3ERERERERkYmUa9G9bt06NGvWDCqVCiqVCgEBAdi7d680vHPnzpDJZDqPsWPH6vQRHx+P4OBgWFtbw8nJCdOmTUNubq5OTGRkJFq1agWlUon69esjPDy8UC5r166Fp6cnLC0t4e/vj5MnT5pknomIiIiIiKjqKNeiu3bt2li0aBHOnDmD06dPo2vXrnj55Zdx6dIlKWb06NG4c+eO9FiyZIk0LC8vD8HBwcjOzsaxY8ewZcsWhIeHY86cOVJMXFwcgoOD0aVLF0RHR2PSpEl4/fXXsX//film27ZtmDJlCubOnYuzZ8+iefPmCAoKQlJS0tNZEERERERERFQpyYQQoryTyK969epYunQpRo0ahc6dO6NFixZYuXKl3ti9e/eiV69euH37NpydnQEA69evx4wZM3D37l0oFArMmDEDe/bswcWLF6XxBg0ahOTkZOzbtw8A4O/vjzZt2mDNmjUAAI1GA3d3d0yYMAEzZ840KG+1Wg17e3ukpKRApVI9wRIgIiIiIiKiis7QGrDCnNOdl5eHrVu3Ii0tDQEBAVL7119/jZo1a8LHxwdhYWFIT0+XhkVFRcHX11cquAEgKCgIarVa2lseFRWFwMBAnWkFBQUhKioKAJCdnY0zZ87oxMjlcgQGBkox+mRlZUGtVus8iIiIiIiIiPIzL+8ELly4gICAAGRmZsLW1hY7d+6Et7c3AOC1116Dh4cH3NzccP78ecyYMQMxMTHYsWMHACAhIUGn4AYgvU5ISCg2Rq1WIyMjAw8fPkReXp7emKtXrxaZ98KFCzF//vwnm3kiIiIiIiKq1Mq96G7UqBGio6ORkpKC77//HiEhIThy5Ai8vb0xZswYKc7X1xeurq7o1q0bYmNj4eXlVY5ZA2FhYZgyZYr0Wq1Ww93dvRwzIiIiIiIiooqm3ItuhUKB+vXrAwD8/Pxw6tQprFq1Chs2bCgU6+/vDwC4fv06vLy84OLiUugq44mJiQAAFxcX6a+2LX+MSqWClZUVzMzMYGZmpjdG24c+SqUSSqXSyLklIiIiIiKiqqTCnNOtpdFokJWVpXdYdHQ0AMDV1RUAEBAQgAsXLuhcZfzgwYNQqVTSIeoBAQGIiIjQ6efgwYPSeeMKhQJ+fn46MRqNBhERETrnlhMREREREREZq1z3dIeFhaFnz56oU6cOHj16hG+++QaRkZHYv38/YmNj8c033+DFF19EjRo1cP78eUyePBkdO3ZEs2bNAADdu3eHt7c3hg4diiVLliAhIQGzZs1CaGiotBd67NixWLNmDaZPn46RI0fi0KFD+O6777Bnzx4pjylTpiAkJAStW7dG27ZtsXLlSqSlpWHEiBHlslyIiIiIiIiocijXojspKQnDhg3DnTt3YG9vj2bNmmH//v144YUX8M8//+DXX3+VCmB3d3f0798fs2bNksY3MzPD7t27MW7cOAQEBMDGxgYhISF47733pJi6detiz549mDx5MlatWoXatWtj06ZNCAoKkmIGDhyIu3fvYs6cOUhISECLFi2wb9++QhdXIyIiIiIiIjJGhbtP97OK9+kmIiIiIiKqOp65+3QTERERERERVTYsuomIiIiIiIhMhEU3ERERERERkYmw6CYiIiIiIiIyERbdRERERERERCbCopuIiIiIiIjIRFh0ExEREREREZkIi24iIiIiIiIiE2HRTURERERERGQiLLqJiIiIiIiITIRFNxEREREREZGJsOgmIiIiIiIiMhEW3UREREREREQmwqKbiIiIiIiIyERYdBMRERERERGZCItuIiIiIiIiIhNh0U1ERERERERkIiy6iYiIiIiIiEyERTcRERERERGRibDoJiIiIiIiIjIRFt1EREREREREJsKim4iIiIiIiMhEWHQTERERERERmQiLbiIiIiIiIiITYdFNREREREREZCIsuomIiIiIiIhMpFyL7nXr1qFZs2ZQqVRQqVQICAjA3r17peGZmZkIDQ1FjRo1YGtri/79+yMxMVGnj/j4eAQHB8Pa2hpOTk6YNm0acnNzdWIiIyPRqlUrKJVK1K9fH+Hh4YVyWbt2LTw9PWFpaQl/f3+cPHnSJPNMREREREREVUe5Ft21a9fGokWLcObMGZw+fRpdu3bFyy+/jEuXLgEAJk+ejJ9//hnbt2/HkSNHcPv2bfTr108aPy8vD8HBwcjOzsaxY8ewZcsWhIeHY86cOVJMXFwcgoOD0aVLF0RHR2PSpEl4/fXXsX//film27ZtmDJlCubOnYuzZ8+iefPmCAoKQlJS0tNbGERERERERFTpyIQQoryTyK969epYunQpXnnlFTg6OuKbb77BK6+8AgC4evUqmjRpgqioKLRr1w579+5Fr169cPv2bTg7OwMA1q9fjxkzZuDu3btQKBSYMWMG9uzZg4sXL0rTGDRoEJKTk7Fv3z4AgL+/P9q0aYM1a9YAADQaDdzd3TFhwgTMnDnToLzVajXs7e2RkpIClUpVlouEiIiIiIiIKhhDa8AKc053Xl4etm7dirS0NAQEBODMmTPIyclBYGCgFNO4cWPUqVMHUVFRAICoqCj4+vpKBTcABAUFQa1WS3vLo6KidPrQxmj7yM7OxpkzZ3Ri5HI5AgMDpRh9srKyoFardR5ERERERERE+ZV70X3hwgXY2tpCqVRi7Nix2LlzJ7y9vZGQkACFQgEHBwedeGdnZyQkJAAAEhISdApu7XDtsOJi1Go1MjIycO/ePeTl5emN0fahz8KFC2Fvby893N3dSzX/REREREREVHmVe9HdqFEjREdH48SJExg3bhxCQkJw+fLl8k6rRGFhYUhJSZEe//zzT3mnRERERERERBWMeXknoFAoUL9+fQCAn58fTp06hVWrVmHgwIHIzs5GcnKyzt7uxMREuLi4AABcXFwKXWVce3Xz/DEFr3iemJgIlUoFKysrmJmZwczMTG+Mtg99lEollEpl6WaaiIiIiIiIqoRy39NdkEajQVZWFvz8/GBhYYGIiAhpWExMDOLj4xEQEAAACAgIwIULF3SuMn7w4EGoVCp4e3tLMfn70MZo+1AoFPDz89OJ0Wg0iIiIkGKIiIiIiIiISqNc93SHhYWhZ8+eqFOnDh49eoRvvvkGkZGR2L9/P+zt7TFq1ChMmTIF1atXh0qlwoQJExAQEIB27doBALp37w5vb28MHToUS5YsQUJCAmbNmoXQ0FBpL/TYsWOxZs0aTJ8+HSNHjsShQ4fw3XffYc+ePVIeU6ZMQUhICFq3bo22bdti5cqVSEtLw4gRI8pluRAREREREVHlUK5Fd1JSEoYNG4Y7d+7A3t4ezZo1w/79+/HCCy8AAFasWAG5XI7+/fsjKysLQUFB+OSTT6TxzczMsHv3bowbNw4BAQGwsbFBSEgI3nvvPSmmbt262LNnDyZPnoxVq1ahdu3a2LRpE4KCgqSYgQMH4u7du5gzZw4SEhLQokUL7Nu3r9DF1YiIiIiIiIiMUeHu0/2s4n26iYiIiIiIqo5n7j7dRERERERERJUNi24iIiIiIiIiE2HRTURERERERGQiLLqJiIiIiIiITIRFNxEREREREZGJsOgmIiIiIiIiMhEW3UREREREREQmwqKbiIiIiIiIyERYdBMRERERERGZCItuIiIiIiIiIhNh0U1ERERERERkIiy6iYiIiIiIiEyERTcRERERERGRibDoJiIiIiIiIjIRFt1EREREREREJsKim4iIiIiIiMhEWHQTERERERERmQiLbiIiIiIiIiITYdFNREREREREZCJGF91paWmmyIOIiIiIiIio0jG66HZ2dsbIkSPxxx9/mCIfIiIiIiIiokrD6KL7q6++woMHD9C1a1c0bNgQixYtwu3bt02RGxEREREREdEzzeiiu0+fPti1axdu3bqFsWPH4ptvvoGHhwd69eqFHTt2IDc31xR5EhERERERET1zZEII8aSdfPzxx5g2bRqys7NRs2ZNjB07FjNnzoS1tXVZ5PhMUKvVsLe3R0pKClQqVXmnQ0RERERERCZkaA1oXtoJJCYmYsuWLQgPD8fNmzfxyiuvYNSoUfj333+xePFiHD9+HAcOHCht90RERERERETPPKOL7h07dmDz5s3Yv38/vL298eabb+J///sfHBwcpJjnnnsOTZo0Kcs8iYiIiIiIiJ45Rp/TPWLECNSqVQtHjx5FdHQ0xo8fr1NwA4CbmxvefffdEvtauHAh2rRpAzs7Ozg5OaFPnz6IiYnRiencuTNkMpnOY+zYsTox8fHxCA4OhrW1NZycnDBt2rRC55ZHRkaiVatWUCqVqF+/PsLDwwvls3btWnh6esLS0hL+/v44efKkYQuFiIiIiIiISA+jiu7c3FwsXLgQ8+fPR5s2bYqMs7Kywty5c0vs78iRIwgNDcXx48dx8OBB5OTkoHv37oXuBT569GjcuXNHeixZskQalpeXh+DgYGRnZ+PYsWPSIe9z5syRYuLi4hAcHIwuXbogOjoakyZNwuuvv479+/dLMdu2bcOUKVMwd+5cnD17Fs2bN0dQUBCSkpKMWUREREREREREEqMvpGZtbY0rV67Aw8OjzJO5e/cunJyccOTIEXTs2BHA4z3dLVq0wMqVK/WOs3fvXvTq1Qu3b9+Gs7MzAGD9+vWYMWMG7t69C4VCgRkzZmDPnj24ePGiNN6gQYOQnJyMffv2AQD8/f3Rpk0brFmzBgCg0Wjg7u6OCRMmYObMmSXmzgupERERERERVR2G1oBGH17etm1b/Pnnn0+UXFFSUlIAANWrV9dp//rrr1GzZk34+PggLCwM6enp0rCoqCj4+vpKBTcABAUFQa1W49KlS1JMYGCgTp9BQUGIiooCAGRnZ+PMmTM6MXK5HIGBgVJMQVlZWVCr1ToPIiIiIiIiovyMvpDam2++ialTp+Lff/+Fn58fbGxsdIY3a9asVIloNBpMmjQJ7du3h4+Pj9T+2muvwcPDA25ubjh//jxmzJiBmJgY7NixAwCQkJCgU3ADkF4nJCQUG6NWq5GRkYGHDx8iLy9Pb8zVq1f15qs9zJ6IiIiIiIioKEYX3YMGDQIAvPXWW1KbTCaDEAIymQx5eXmlSiQ0NBQXL17EH3/8odM+ZswY6bmvry9cXV3RrVs3xMbGwsvLq1TTKgthYWGYMmWK9FqtVsPd3b3c8iEiIiIiIqKKx+iiOy4ursyTGD9+PHbv3o3ffvsNtWvXLjbW398fAHD9+nV4eXnBxcWl0FXGExMTAQAuLi7SX21b/hiVSgUrKyuYmZnBzMxMb4y2j4KUSiWUSqXhM0lERERERERVjtHndHt4eBT7MIYQAuPHj8fOnTtx6NAh1K1bt8RxoqOjAQCurq4AgICAAFy4cEHnKuMHDx6ESqWCt7e3FBMREaHTz8GDBxEQEAAAUCgU8PPz04nRaDSIiIiQYoiIiIiIiIiMZfSebgCIjY3FypUrceXKFQCAt7c3Jk6caPTh3qGhofjmm2/w448/ws7OTjoH297eHlZWVoiNjcU333yDF198ETVq1MD58+cxefJkdOzYUTp3vHv37vD29sbQoUOxZMkSJCQkYNasWQgNDZX2RI8dOxZr1qzB9OnTMXLkSBw6dAjfffcd9uzZI+UyZcoUhISEoHXr1mjbti1WrlyJtLQ0jBgxojSLiIiIiIiIiMj4W4bt378fL730Elq0aIH27dsDAI4ePYpz587h559/xgsvvGD4xGUyve2bN2/G8OHD8c8//+B///sfLl68iLS0NLi7u6Nv376YNWuWziXZb968iXHjxiEyMhI2NjYICQnBokWLYG7+/78pREZGYvLkybh8+TJq166N2bNnY/jw4TrTXbNmDZYuXYqEhAS0aNECq1evlg5nLwlvGUZERERERFR1GFoDGl10t2zZEkFBQVi0aJFO+8yZM3HgwAGcPXu2dBk/41h0ExERERERVR0mu0/3lStXMGrUqELtI0eOxOXLl43tjoiIiIiIiKjSMrrodnR0lC5mll90dDScnJzKIiciIiIiIiKiSsHoC6mNHj0aY8aMwd9//43nnnsOwONzuhcvXqxz32oiIiIiIiKiqs7oc7qFEFi5ciWWLVuG27dvAwDc3Nwwbdo0vPXWW0VeHK2y4zndREREREREVYfJLqSW36NHjwAAdnZ2pe2i0mDRTUREREREVHWY7EJqXbt2RXJyMoDHxba24Far1ejatWvpsiUiIiIiIiKqhIw+pzsyMhLZ2dmF2jMzM/H777+XSVJERERERESlpdFo9NYsRMawsLCAmZnZE/djcNF9/vx56fnly5eRkJAgvc7Ly8O+fftQq1atJ06IiIiIiIiotLKzsxEXFweNRlPeqVAl4ODgABcXlye6dpnBRXeLFi0gk8kgk8n0HkZuZWWFjz/+uNSJEBERERERPQkhBO7cuQMzMzO4u7tDLjf6bFoiAI/fS+np6UhKSgIAuLq6lrovg4vuuLg4CCFQr149nDx5Eo6OjtIwhUIBJyenMtn1TkREREREVBq5ublIT0+Hm5sbrK2tyzsdesZZWVkBAJKSkp6o3jW46Pbw8AAAHqZBREREREQVUl5eHoDHOwWJyoL2x5ucnBzTF935Xbt2DYcPH0ZSUlKhInzOnDmlSoSIiIiIiKgsPMn5t0T5lcV7yeii+9NPP8W4ceNQs2bNQieUy2QyFt1ERERERERE/zG66H7//ffxwQcfYMaMGabIh4iIiIiIiJ5hMpkMO3fuRJ8+fco7lQrB6Mv5PXz4EK+++qopciEiIiIiIqqyoqKiYGZmhuDgYJ32efPmoUWLFuWTFD0xo4vuV199FQcOHDBFLkRERERERFXWZ599hgkTJuC3337D7du3yzudCiU7O7u8Uyg1o4vu+vXrY/bs2Rg+fDiWLVuG1atX6zyIiIiIiIjIOKmpqdi2bRvGjRuH4OBghIeHAwDCw8Mxf/58nDt3DjKZDDKZTBomk8mwYcMG9OrVC9bW1mjSpAmioqJw/fp1dO7cGTY2NnjuuecQGxurM61169bBy8sLCoUCjRo1wpdffikNE0Jg3rx5qFOnDpRKJdzc3PDWW29Jwz09PbFgwQIMHjwYNjY2qFWrFtauXVtofu7du4e+ffvC2toaDRo0wE8//aQz/OLFi+jZsydsbW3h7OyMoUOH4t69e9Lwzp07Y/z48Zg0aRJq1qyJoKAgg8arkISRPD09i3zUrVvX2O4qjZSUFAFApKSklHcqRERERERVUkZGhrh8+bLIyMgo71SM9tlnn4nWrVsLIYT4+eefhZeXl9BoNCI9PV1MnTpVNG3aVNy5c0fcuXNHpKenCyGEACBq1aoltm3bJmJiYkSfPn2Ep6en6Nq1q9i3b5+4fPmyaNeunejRo4c0nR07dggLCwuxdu1aERMTI5YtWybMzMzEoUOHhBBCbN++XahUKvHLL7+ImzdvihMnToiNGzdK43t4eAg7OzuxcOFCERMTI1avXi3MzMzEgQMHpBgAonbt2uKbb74R165dE2+99ZawtbUV9+/fF0II8fDhQ+Ho6CjCwsLElStXxNmzZ8ULL7wgunTpIvXRqVMnYWtrK6ZNmyauXr0qrl69atB4Za2495ShNaBMCCHKt+yvHNRqNezt7ZGSkgKVSlXe6RARERERVTmZmZmIi4tD3bp1YWlpCQCYu/UUbj9Mf6p5uFWzxvxBbYwap3379hgwYAAmTpyI3NxcuLq6Yvv27ejcuTPmzZuHXbt2ITo6WmccmUyGWbNmYcGCBQCA48ePIyAgAJ999hlGjhwJANi6dStGjBiBjIwMaTpNmzbFxo0bpX4GDBiAtLQ07NmzB8uXL8eGDRtw8eJFWFhYFMrT09MTTZo0wd69e6W2QYMGQa1W45dfftGbV1paGmxtbbF371706NED77//Pn7//Xfs379f6uPff/+Fu7s7YmJi0LBhQ3Tu3BlqtRpnz56VYgwZr6zpe09pGVoDGn14uVZ2djZiYmKQm5tb2i6IiIiIiIiqvJiYGJw8eRKDBw8GAJibm2PgwIH47LPPShy3WbNm0nNnZ2cAgK+vr05bZmYm1Go1AODKlSto3769Th/t27fHlStXADy+hldGRgbq1auH0aNHY+fOnYVqvoCAgEKvtePry8vGxgYqlQpJSUkAgHPnzuHw4cOwtbWVHo0bNwYAnUPh/fz8dPo0dLyKxuhbhqWnp2PChAnYsmULAOCvv/5CvXr1MGHCBNSqVQszZ84s8ySJiIiIiIhKw9g9zuXhs88+Q25uLtzc3KQ2IQSUSiXWrFlT7Lj590bLZLIi2zQajUG5aPca//rrrzh48CDefPNNLF26FEeOHNG759uQvLR5aHNITU1F7969sXjx4kLjubq6Ss9tbGx0hhk6XkVj9J7usLAwnDt3DpGRkTq71wMDA7Ft27YyTY6IiIiIiKgyy83NxRdffIFly5YhOjpaepw7dw5ubm749ttvoVAokJeXVybTa9KkCY4eParTdvToUXh7e0uvrays0Lt3b6xevRqRkZGIiorChQsXpOHHjx/XGf/48eNo0qSJwTm0atUKly5dgqenJ+rXr6/zKFhol8V45c3oonvXrl1Ys2YNnn/+eelXEwBo2rRphd6lT0REREREVNHs3r0bDx8+xKhRo+Dj46Pz6N+/Pz777DN4enoiLi4O0dHRuHfvHrKysko9vWnTpiE8PBzr1q3DtWvXsHz5cuzYsQNvv/02gMdXS//ss89w8eJF/P333/jqq69gZWUFDw8PqY+jR49iyZIl+Ouvv7B27Vps374dEydONDiH0NBQPHjwAIMHD8apU6cQGxuL/fv3Y8SIEcX+uFDa8cqb0UX33bt34eTkVKg9LS1NpwgnIiIiIiKi4n322WcIDAyEvb19oWH9+/fH6dOn0bRpU/To0QNdunSBo6Mjvv3221JPr0+fPli1ahU++ugjNG3aFBs2bMDmzZvRuXNnAICDgwM+/fRTtG/fHs2aNcOvv/6Kn3/+GTVq1JD6mDp1Kk6fPo2WLVvi/fffx/Lly6VbehnCzc0NR48eRV5eHrp37w5fX19MmjQJDg4OkMuLLlFLO155M/rq5R07dsSrr76KCRMmwM7ODufPn0fdunUxYcIEXLt2Dfv27TNVrhUar15ORERERFS+irvSNJUNT09PTJo0CZMmTSrvVJ6Ksrh6udEXUvvwww/Rs2dPXL58Gbm5uVi1ahUuX76MY8eO4ciRI8bPBREREREREVElZfQ++Oeffx7R0dHIzc2Fr68vDhw4ACcnJ0RFRRW6pHtJFi5ciDZt2sDOzg5OTk7o06cPYmJidGIyMzMRGhqKGjVqwNbWFv3790diYqJOTHx8PIKDg2FtbQ0nJydMmzat0GXtIyMj0apVKyiVStSvXx/h4eGF8lm7di08PT1haWkJf39/nDx50qj5ISIiIiIiIsrP6D3dAODl5YVPP/30iSd+5MgRhIaGok2bNsjNzcU777yD7t274/Lly9LV5yZPnow9e/Zg+/btsLe3x/jx49GvXz/pint5eXkIDg6Gi4sLjh07hjt37mDYsGGwsLDAhx9+CACIi4tDcHAwxo4di6+//hoRERF4/fXX4erqKp17sG3bNkyZMgXr16+Hv78/Vq5ciaCgIMTExOg9h52IiIiIiKiquXHjRnmn8Mwx+pzuwMBA/O9//0O/fv3K/Nxl7UXajhw5go4dOyIlJQWOjo745ptv8MorrwAArl69iiZNmiAqKgrt2rXD3r170atXL9y+fVu6Gfz69esxY8YM3L17FwqFAjNmzMCePXtw8eJFaVqDBg1CcnKydA66v78/2rRpI90HT6PRwN3dHRMmTDDo3uM8p5uIiIiIqHzxnG4qa2VxTrfRh5c3bdoUYWFhcHFxwauvvooff/wROTk5xmevR0pKCgCgevXqAIAzZ84gJycHgYGBUkzjxo1Rp04dREVFAQCioqLg6+srFdwAEBQUBLVajUuXLkkx+fvQxmj7yM7OxpkzZ3Ri5HI5AgMDpRgiIiIiIiIiYxlddK9atQq3bt3Crl27YGNjg2HDhsHZ2Rljxox5ogupaTQaTJo0Ce3bt4ePjw8AICEhAQqFAg4ODjqxzs7OSEhIkGLyF9za4dphxcWo1WpkZGTg3r17yMvL0xuj7aOgrKwsqNVqnQcRERERERFRfqW6mZlcLkf37t0RHh6OxMREbNiwASdPnkTXrl1LnUhoaCguXryIrVu3lrqPp2nhwoWwt7eXHu7u7uWdEhEREREREVUwT3QH8YSEBKxfvx6LFy/G+fPn0aZNm1L1M378eOzevRuHDx9G7dq1pXYXFxdkZ2cjOTlZJz4xMREuLi5STMGrmWtflxSjUqlgZWWFmjVrwszMTG+Mto+CwsLCkJKSIj3++ecf42eciIiIiIiIKjWji261Wo3NmzfjhRdegLu7O9atW4eXXnoJ165dw/Hjx43qSwiB8ePHY+fOnTh06BDq1q2rM9zPzw8WFhaIiIiQ2mJiYhAfH4+AgAAAQEBAAC5cuICkpCQp5uDBg1CpVPD29pZi8vehjdH2oVAo4OfnpxOj0WgQEREhxRSkVCqhUql0HkRERERERET5GV10Ozs7491334WPjw+ioqIQExODOXPmwMvLy+iJh4aG4quvvsI333wDOzs7JCQkICEhARkZGQAAe3t7jBo1ClOmTMHhw4dx5swZjBgxAgEBAWjXrh0AoHv37vD29sbQoUNx7tw57N+/H7NmzUJoaCiUSiUAYOzYsfj7778xffp0XL16FZ988gm+++47TJ48WcplypQp+PTTT7FlyxZcuXIF48aNQ1paGkaMGGH0fBEREREREVUUGzduhLu7O+RyOVauXFne6VQ9wkgHDhwQeXl5xo6mFwC9j82bN0sxGRkZ4s033xTVqlUT1tbWom/fvuLOnTs6/dy4cUP07NlTWFlZiZo1a4qpU6eKnJwcnZjDhw+LFi1aCIVCIerVq6czDa2PP/5Y1KlTRygUCtG2bVtx/Phxg+clJSVFABApKSlGLQMiIiIiIiobGRkZ4vLlyyIjI6O8UzFKUlKSGDt2rHB3dxcKhUI4OzuL7t27iz/++OOJ+05JSREWFhbi448/Frdv3xZpaWllkHHVUdx7ytAa0Oj7dJN+vE83EREREVH5elbv092xY0dkZ2dj4cKFqFevHhITExEREYGmTZvipZdeKlWfQgjk5eXh6tWr8PX1xd9//13odF4qWbncpzsxMRFDhw6Fm5sbzM3NYWZmpvMgIiIiIiIiwyQnJ+P333/H4sWL0aVLF3h4eKBt27YICwuTCu4bN25AJpMhOjpaZzyZTIbIyEgAQGRkJGQyGfbu3Qs/Pz8olUp89dVX8PX1BQDUq1cPMpkMN27cQGxsLF5++WU4OzvD1tYWbdq0wa+//qqTV1ZWFmbMmAF3d3colUrUr18fn332mTT84sWL6NmzJ2xtbeHs7IyhQ4fi3r17xc7rDz/8gKZNm0KpVMLT0xPLli0r02nu27cPzz//PBwcHFCjRg306tULsbGx0nDtctyxYwe6dOkCa2trNG/eHFFRUQasqdIzuugePnw4zp49i9mzZ+P777/Hjh07dB5ERERERERkGFtbW9ja2mLXrl3Iysp64v5mzpyJRYsW4cqVK3jhhRekYvrkyZO4c+cO3N3dkZqaihdffBERERH4888/0aNHD/Tu3Rvx8fFSP8OGDcO3336L1atX48qVK9iwYQNsbW0BPC74u3btipYtW+L06dPYt28fEhMTMWDAgCLzOnPmDAYMGIBBgwbhwoULmDdvHmbPno3w8PAym2ZaWhqmTJmC06dPIyIiAnK5HH379oVGo9HJ5d1338Xbb7+N6OhoNGzYEIMHD0Zubu4TL/uiGH14uZ2dHX7//Xe0aNHCRCk9m3h4ORERERFR+dJ3KPDJMWOQlq+YfBps6tRB240bDY7/4YcfMHr0aGRkZKBVq1bo1KkTBg0ahGbNmgF4vIe2bt26+PPPP6U6LDk5GdWqVcPhw4fRuXNnREZGokuXLti1axdefvllqe/o6Gi0bNkScXFx8PT0LDIHHx8fjB07FuPHj8dff/2FRo0a4eDBgwgMDCwU+/777+P333/H/v37pbZ///0X7u7uiImJQcOGDQuNM2TIENy9excHDhyQ2qZPn449e/bg0qVLJpnmvXv34OjoiAsXLsDHx0dajps2bcKoUaMAAJcvX0bTpk1x5coVNG7cuFAf5XJ4ubu7O3gaOBERERERUdno378/bt++jZ9++gk9evRAZGQkWrVqpbMX2FCtW7cuMSY1NRVvv/02mjRpAgcHB9ja2uLKlSvSnu7o6GiYmZmhU6dOesc/d+4cDh8+LO2lt7W1lQrW/Idz53flyhW0b99ep619+/a4du0a8vLyymSa165dw+DBg1GvXj2oVCrpR4b4Aj+6aH/MAABXV1cA0LkFdVkzN3aElStXYubMmdiwYUOxv5QQERERERGVN2P2OJcnS0tLvPDCC3jhhRcwe/ZsvP7665g7dy6GDx8OufzxvtL8Oz9zcnL09mNjY1PitN5++20cPHgQH330EerXrw8rKyu88soryM7OBgBYWVkVO35qaip69+6NxYsXFxqmLWKNVRbT7N27Nzw8PPDpp5/Czc0NGo0GPj4+0nxpWVhYSM9lMhkAFDoEvSwZXXQPHDgQ6enp8PLygrW1tU7CAPDgwYMyS46IiIiIiKgq8vb2xq5duwAAjo6OAIA7d+6gZcuWAKBzUTVjHT16FMOHD0ffvn0BPC5ob9y4IQ339fWFRqPBkSNH9B7q3apVK/zwww/w9PSEublhJWWTJk1w9OjRQnk0bNgQZmZmTzzN+/fvIyYmBp9++ik6dOgAAPjjjz8Mys3USrWnm4iIiIiIiJ7c/fv38eqrr2LkyJFo1qwZ7OzscPr0aSxZskQ6N9vKygrt2rXDokWLULduXSQlJWHWrFmlnmaDBg2wY8cO9O7dGzKZDLNnz9bZ0+vp6YmQkBCMHDkSq1evRvPmzXHz5k0kJSVhwIABCA0NxaefforBgwdj+vTpqF69Oq5fv46tW7di06ZNeu9qNXXqVLRp0wYLFizAwIEDERUVhTVr1uCTTz4pk2lWq1YNNWrUwMaNG+Hq6or4+HjMnDmz1MuoLBlddIeEhJgiDyIiIiIioirH1tYW/v7+WLFiBWJjY5GTkwN3d3eMHj0a77zzjhT3+eefY9SoUfDz80OjRo2wZMkSdO/evVTTXL58OUaOHInnnnsONWvWxIwZM6BWq3Vi1q1bh3feeQdvvvkm7t+/jzp16kj5uLm54ejRo5gxYwa6d++OrKwseHh4oEePHtKh8AW1atUK3333HebMmYMFCxbA1dUV7733HoYPH14m05TJZNi6dSveeust+Pj4oFGjRli9ejU6d+5cqmVUlgy6erlarZauxlZwZRRUVa/czauXExERERGVr+KuNE1UGmVx9XKD9nRXq1YNd+7cgZOTExwcHKSTzfMTQkAmkyEvL8/I2SAiIiIiIiKqnAwqug8dOoTq1asDAA4fPmzShIiIiIiIiIgqC4OK7vz3SivqvmlEREREREREpEv/We5ERERERERE9MRYdBMRERERERGZCItuIiIiIiIiIhNh0U1ERERERERkIiy6iYiIiIiIiEzE6KI7MTERQ4cOhZubG8zNzWFmZqbzICIiIiIiIqLHDLplWH7Dhw9HfHw8Zs+eDVdXV8hkMlPkRUREREREVCUMHz4cW7ZsAQCYm5ujevXqaNasGQYPHozhw4dDLucBys8yo4vuP/74A7///jtatGhhgnSIiIiIiIiqnh49emDz5s3Iy8tDYmIi9u3bh4kTJ+L777/HTz/9BHNzo0s3qiCM/snE3d0dQghT5EJERERERFQlKZVKuLi4oFatWmjVqhXeeecd/Pjjj9i7dy/Cw8OluOTkZLz++utwdHSESqVC165dce7cOZ2+fvzxR7Rq1QqWlpaoV68e5s+fj9zcXGm4TCbDunXr0LNnT1hZWaFevXr4/vvvi80vKysLb731FpycnGBpaYnnn38ep06d0om5dOkSevXqBZVKBTs7O3To0AGxsbHS8E2bNqFJkyawtLRE48aN8cknn+iMP2PGDDRs2BDW1taoV68eZs+ejZycHGn4vHnz0KJFC3z55Zfw9PSEvb09Bg0ahEePHhm8nMuD0UX3ypUrMXPmTNy4ccME6RAREREREREAdO3aFc2bN8eOHTuktldffRVJSUnYu3cvzpw5g1atWqFbt2548OABAOD333/HsGHDMHHiRFy+fBkbNmxAeHg4PvjgA52+Z8+ejf79++PcuXMYMmQIBg0ahCtXrhSZy/Tp0/HDDz9gy5YtOHv2LOrXr4+goCBpurdu3ULHjh2hVCpx6NAhnDlzBiNHjpSK/a+//hpz5szBBx98gCtXruDDDz/E7NmzpcPqAcDOzg7h4eG4fPkyVq1ahU8//RQrVqzQySM2Nha7du3C7t27sXv3bhw5cgSLFi16sgVtasJIDg4OQqFQCLlcLmxtbUW1atV0HlVVSkqKACBSUlLKOxUiIiIioiopIyNDXL58WWRkZJR3KkYJCQkRL7/8st5hAwcOFE2aNBFCCPH7778LlUolMjMzdWK8vLzEhg0bhBBCdOvWTXz44Yc6w7/88kvh6uoqvQYgxo4dqxPj7+8vxo0bpzeH1NRUYWFhIb7++mupLTs7W7i5uYklS5YIIYQICwsTdevWFdnZ2Xr78PLyEt98841O24IFC0RAQIDeeCGEWLp0qfDz85Nez507V1hbWwu1Wi21TZs2Tfj7+xfZx5Mq7j1laA1o9IkBK1euLOu6n4iIiIiIyCS+felbPIx9+FSnWc2rGgb/NLhM+hJCSBevPnfuHFJTU1GjRg2dmIyMDOkw7nPnzuHo0aM6e7bz8vKQmZmJ9PR0WFtbAwACAgJ0+ggICEB0dLTeHGJjY5GTk4P27dtLbRYWFmjbtq20dzw6OhodOnSAhYVFofHT0tIQGxuLUaNGYfTo0VJ7bm4u7O3tpdfbtm3D6tWrERsbi9TUVOTm5kKlUun05enpCTs7O+m1q6srkpKS9OZdURhddIeEhJgiDyIiIiIiIirgypUrqFu3LgAgNTUVrq6uiIyMLBTn4OAgxcyfPx/9+vUrFGNpaWmyPK2srIoclpqaCgD49NNP4e/vrzNMe9vpqKgoDBkyBPPnz0dQUBDs7e2xdetWLFu2TCe+YFEvk8mg0WjKYhZMplSXwMvLy8OuXbukXzWaNm2Kl156iffpJiIiIiKiCqWs9jiXh0OHDuHChQuYPHkyAKBVq1ZISEiAubk5PD099Y7TqlUrxMTEoH79+sX2ffz4cQwbNkzndcuWLfXGenl5QaFQ4OjRo/Dw8AAA5OTk4NSpU5g0aRIAoFmzZtiyZQtycnIKFcbOzs5wc3PD33//jSFDhuidxrFjx+Dh4YF3331Xart582ax8/CsMPpCatevX0eTJk0wbNgw7NixAzt27MD//vc/NG3aVOfKdIb47bff0Lt3b7i5uUEmk2HXrl06w4cPHw6ZTKbz6NGjh07MgwcPMGTIEKhUKjg4OGDUqFHSLyla58+fR4cOHWBpaQl3d3csWbKkUC7bt29H48aNYWlpCV9fX/zyyy9GzQsREREREVFpZWVlISEhAbdu3cLZs2fx4Ycf4uWXX0avXr2k4jgwMBABAQHo06cPDhw4gBs3buDYsWN49913cfr0aQDAnDlz8MUXX2D+/Pm4dOkSrly5gq1bt2LWrFk609u+fTs+//xz/PXXX5g7dy5OnjyJ8ePH683NxsYG48aNw7Rp07Bv3z5cvnwZo0ePRnp6OkaNGgUAGD9+PNRqNQYNGoTTp0/j2rVr+PLLLxETEwMAmD9/PhYuXIjVq1fjr7/+woULF7B582YsX74cANCgQQPEx8dj69atiI2NxerVq7Fz506TLOunzeii+6233oKXlxf++ecfnD17FmfPnkV8fDzq1q2Lt956y6i+0tLS0Lx5c6xdu7bImB49euDOnTvS49tvv9UZPmTIEFy6dAkHDx7E7t278dtvv2HMmDHScLVaje7du8PDwwNnzpzB0qVLMW/ePGzcuFGKOXbsGAYPHoxRo0bhzz//RJ8+fdCnTx9cvHjRqPkhIiIiIiIqjX379sHV1RWenp7o0aMHDh8+jNWrV+PHH3+UjiiWyWT45Zdf0LFjR4wYMQINGzbEoEGDcPPmTTg7OwMAgoKCsHv3bhw4cABt2rRBu3btsGLFCmkPtdb8+fOxdetWNGvWDF988QW+/fZbeHt7F5nfokWL0L9/fwwdOhStWrXC9evXsX//flSrVg0AUKNGDRw6dAipqano1KkT/Pz88Omnn0p7vV9//XVs2rQJmzdvhq+vLzp16oTw8HDp0PmXXnoJkydPxvjx49GiRQscO3YMs2fPLvPlXB5kQhh3020bGxscP34cvr6+Ou3nzp1D+/btC+1lNjgRmQw7d+5Enz59pLbhw4cjOTm50B5wrStXrsDb2xunTp1C69atATx+s7744ov4999/4ebmhnXr1uHdd99FQkICFAoFAGDmzJnYtWsXrl69CgAYOHAg0tLSsHv3bqnvdu3aoUWLFli/fr1B+avVatjb2yMlJaXQyf5ERERERGR6mZmZiIuLQ926dU16/vKzTl/tRfoV954ytAY0ek+3UqnUe/Px1NRUqagtS5GRkXByckKjRo0wbtw43L9/XxoWFRUFBwcHqeAGHh9yIZfLceLECSmmY8eOOrkFBQUhJiYGDx8+lGICAwN1phsUFISoqKgynx8iIiIiIiKqOowuunv16oUxY8bgxIkTEEJACIHjx49j7NixeOmll8o0uR49euCLL75AREQEFi9ejCNHjqBnz57Iy8sDACQkJMDJyUlnHHNzc1SvXh0JCQlSjPZQCy3t65JitMP1ycrKglqt1nkQERERERER5Wf01ctXr16NkJAQBAQESMfn5+bm4qWXXsKqVavKNLlBgwZJz319fdGsWTN4eXkhMjIS3bp1K9NpGWvhwoWYP39+ueZARERERERkLCPPMKYnZHTR7eDggB9//BHXrl3DlStXIJPJ0KRJkxIvSV8W6tWrh5o1a+L69evo1q0bXFxcCt0IPTc3Fw8ePICLiwsAwMXFBYmJiTox2tclxWiH6xMWFoYpU6ZIr9VqNdzd3Us/c0RERERERFTpGH14uVaDBg3Qu3dv9OrV66kU3ADw77//4v79+3B1dQUABAQEIDk5GWfOnJFiDh06BI1GI910PSAgAL/99htycnKkmIMHD6JRo0bSlfYCAgIQERGhM62DBw8iICCgyFyUSiVUKpXOg4iIiIiIiCi/UhXdn332GXx8fGBpaQlLS0v4+Phg06ZNRveTmpqK6OhoREdHAwDi4uIQHR2N+Ph4pKamYtq0aTh+/Dhu3LiBiIgIvPzyy6hfvz6CgoIAAE2aNEGPHj0wevRonDx5EkePHsX48eMxaNAguLm5AQBee+01KBQKjBo1CpcuXcK2bduwatUqnb3UEydOxL59+7Bs2TJcvXoV8+bNw+nTp4u8Tx0REREREVVcPHyaykpZvJeMPrx8zpw5WL58OSZMmCDtCY6KisLkyZMRHx+P9957z+C+Tp8+jS5dukivtYVwSEgI1q1bh/Pnz2PLli1ITk6Gm5sbunfvjgULFkCpVErjfP311xg/fjy6desGuVyO/v37Y/Xq1dJwe3t7HDhwAKGhofDz80PNmjUxZ84cnXt5P/fcc/jmm28wa9YsvPPOO2jQoAF27doFHx8fYxcPERERERGVE+39rLOzs2FlZVXO2VBlkJ6eDgDS9cxKw+j7dDs6OmL16tUYPHiwTvu3336LCRMm4N69e6VO5lnG+3QTEREREZUvIQTi4+ORk5MDNzc3yOWlPpuWqjghBNLT05GUlAQHBwfpFOf8DK0Bjd7TnZOTo3NfbC0/Pz/k5uYa2x0REREREVGZkMlkcHV1RVxcHG7evFne6VAl4ODgUOwFtg1hdNE9dOhQrFu3DsuXL9dp37hxI4YMGfJEyRARERERET0JhUKBBg0aIDs7u7xToWechYWFdMrCkzCo6M5/0TGZTIZNmzbhwIEDaNeuHQDgxIkTiI+Px7Bhw544ISIiIiIioichl8thaWlZ3mkQATCw6P7zzz91Xvv5+QEAYmNjAQA1a9ZEzZo1cenSpTJOj4iIiIiIiOjZZVDRffjwYVPnQURERERERFTpGHU5v5ycHJibm+PixYumyoeIiIiIiIio0jCq6LawsECdOnWQl5dnqnyIiIiIiIiIKg2jb1z37rvv4p133sGDBw9MkQ8RERERERFRpWH0LcPWrFmD69evw83NDR4eHrCxsdEZfvbs2TJLjoiIiIiIiOhZZnTR3adPHxOkQURERERERFT5yIQQoryTqAzUajXs7e2RkpIClUpV3ukQERERERGRCRlaAxp9TjcRERERERERGcbow8vz8vKwYsUKfPfdd4iPj0d2drbOcF5gjYiIiIiIiOgxo/d0z58/H8uXL8fAgQORkpKCKVOmoF+/fpDL5Zg3b54JUiQiIiIiIiJ6NhlddH/99df49NNPMXXqVJibm2Pw4MHYtGkT5syZg+PHj5siRyIiIiIiIqJnktFFd0JCAnx9fQEAtra2SElJAQD06tULe/bsKdvsiIiIiIiIiJ5hRhfdtWvXxp07dwAAXl5eOHDgAADg1KlTUCqVZZsdERERERER0TPM6KK7b9++iIiIAABMmDABs2fPRoMGDTBs2DCMHDmyzBMkIiIiIiIielY98X26jx8/jmPHjqFBgwbo3bt3WeX1zOF9uomIiIiIiKoOQ2tAo28ZVlC7du3Qrl27J+2GiIiIiIiIqNIx+vDyhQsX4vPPPy/U/vnnn2Px4sVlkhQRERERERFRZWB00b1hwwY0bty4UHvTpk2xfv36MkmKiIiIiIiIqDIo1S3DXF1dC7U7OjpKVzUnIiIiIiIiolIU3e7u7jh69Gih9qNHj8LNza1MkiIiIiIiIiKqDIy+kNro0aMxadIk5OTkoGvXrgCAiIgITJ8+HVOnTi3zBImIiIiIiIieVUYX3dOmTcP9+/fx5ptvIjs7GwBgaWmJGTNmICwsrMwTJCIiIiIiInpWGX14uUwmw+LFi3H37l0cP34c586dw4MHDzBnzhyjJ/7bb7+hd+/ecHNzg0wmw65du3SGCyEwZ84cuLq6wsrKCoGBgbh27ZpOzIMHDzBkyBCoVCo4ODhg1KhRSE1N1Yk5f/48OnToAEtLS7i7u2PJkiWFctm+fTsaN24MS0tL+Pr64pdffjF6foiIiIiIiIjyM7ro1rK1tUWbNm3g4+MDpVJZqj7S0tLQvHlzrF27Vu/wJUuWYPXq1Vi/fj1OnDgBGxsbBAUFITMzU4oZMmQILl26hIMHD2L37t347bffMGbMGGm4Wq1G9+7d4eHhgTNnzmDp0qWYN28eNm7cKMUcO3YMgwcPxqhRo/Dnn3+iT58+6NOnDy5evFiq+SIiIiIiIiICAJkQQpR3EsDjPeg7d+5Enz59ADzey+3m5oapU6fi7bffBgCkpKTA2dkZ4eHhGDRoEK5cuQJvb2+cOnUKrVu3BgDs27cPL774Iv7991+4ublh3bp1ePfdd5GQkACFQgEAmDlzJnbt2oWrV68CAAYOHIi0tDTs3r1byqddu3Zo0aKFwbdBU6vVsLe3R0pKClQqVVktFiIiIiIiIqqADK0BS72n29Ti4uKQkJCAwMBAqc3e3h7+/v6IiooCAERFRcHBwUEquAEgMDAQcrkcJ06ckGI6duwoFdwAEBQUhJiYGDx8+FCKyT8dbYx2OkRERERERESlYfSF1J6WhIQEAICzs7NOu7OzszQsISEBTk5OOsPNzc1RvXp1nZi6desW6kM7rFq1akhISCh2OvpkZWUhKytLeq1Wq42ZPSIiIiIiIqoCKuye7opu4cKFsLe3lx7u7u7lnRIRERERERFVMBW26HZxcQEAJCYm6rQnJiZKw1xcXJCUlKQzPDc3Fw8ePNCJ0ddH/mkUFaMdrk9YWBhSUlKkxz///GPsLBIREREREVElV2GL7rp168LFxQURERFSm1qtxokTJxAQEAAACAgIQHJyMs6cOSPFHDp0CBqNBv7+/lLMb7/9hpycHCnm4MGDaNSoEapVqybF5J+ONkY7HX2USiVUKpXOg4iIiIiIiCi/ci26U1NTER0djejoaACPL54WHR2N+Ph4yGQyTJo0Ce+//z5++uknXLhwAcOGDYObm5t0hfMmTZqgR48eGD16NE6ePImjR49i/PjxGDRoENzc3AAAr732GhQKBUaNGoVLly5h27ZtWLVqFaZMmSLlMXHiROzbtw/Lli3D1atXMW/ePJw+fRrjx49/2ouEiIiIiIiIKpFyvWVYZGQkunTpUqg9JCQE4eHhEEJg7ty52LhxI5KTk/H888/jk08+QcOGDaXYBw8eYPz48fj5558hl8vRv39/rF69Gra2tlLM+fPnERoailOnTqFmzZqYMGECZsyYoTPN7du3Y9asWbhx4wYaNGiAJUuW4MUXXzR4XnjLMCIiIiIioqrD0Bqwwtyn+1nHopuIiIiIiKjqeObv001ERERERET0rGPRTURERERERGQiLLqJiIiIiIiITIRFNxEREREREZGJsOgmIiIiIiIiMhEW3UREREREREQmwqKbiIiIiIiIyERYdBMRERERERGZCItuIiIiIiIiIhNh0U1ERERERERkIiy6iYiIiIiIiEyERTcRERERERGRibDoJiIiIiIiIjIRFt1EREREREREJsKim4iIiIiIiMhEWHQTERERERERmQiLbiIiIiIiIiITYdFNREREREREZCIsuomIiIiIiIhMhEU3ERERERERkYmw6CYiIiIiIiIyERbdRERERERERCbCopuIiIiIiIjIRFh0ExEREREREZkIi24iIiIiIiIiE2HRTURERERERGQiFbronjdvHmQymc6jcePG0vDMzEyEhoaiRo0asLW1Rf/+/ZGYmKjTR3x8PIKDg2FtbQ0nJydMmzYNubm5OjGRkZFo1aoVlEol6tevj/Dw8Kcxe0RERERERFTJVeiiGwCaNm2KO3fuSI8//vhDGjZ58mT8/PPP2L59O44cOYLbt2+jX79+0vC8vDwEBwcjOzsbx44dw5YtWxAeHo45c+ZIMXFxcQgODkaXLl0QHR2NSZMm4fXXX8f+/fuf6nwSERERERFR5SMTQojyTqIo8+bNw65duxAdHV1oWEpKChwdHfHNN9/glVdeAQBcvXoVTZo0QVRUFNq1a4e9e/eiV69euH37NpydnQEA69evx4wZM3D37l0oFArMmDEDe/bswcWLF6W+Bw0ahOTkZOzbt8/gXNVqNezt7ZGSkgKVSvVkM05EREREREQVmqE1YIXf033t2jW4ubmhXr16GDJkCOLj4wEAZ86cQU5ODgIDA6XYxo0bo06dOoiKigIAREVFwdfXVyq4ASAoKAhqtRqXLl2SYvL3oY3R9kFERERERERUWublnUBx/P39ER4ejkaNGuHOnTuYP38+OnTogIsXLyIhIQEKhQIODg464zg7OyMhIQEAkJCQoFNwa4drhxUXo1arkZGRASsrK725ZWVlISsrS3qtVqufaF6JiIiIiIio8qnQRXfPnj2l582aNYO/vz88PDzw3XffFVkMPy0LFy7E/PnzyzUHIiIiIiIiqtgq/OHl+Tk4OKBhw4a4fv06XFxckJ2djeTkZJ2YxMREuLi4AABcXFwKXc1c+7qkGJVKVWxhHxYWhpSUFOnxzz//POnsERERERERUSXzTBXdqampiI2NhaurK/z8/GBhYYGIiAhpeExMDOLj4xEQEAAACAgIwIULF5CUlCTFHDx4ECqVCt7e3lJM/j60Mdo+iqJUKqFSqXQeRERERERERPlV6KL77bffxpEjR3Djxg0cO3YMffv2hZmZGQYPHgx7e3uMGjUKU6ZMweHDh3HmzBmMGDECAQEBaNeuHQCge/fu8Pb2xtChQ3Hu3Dns378fs2bNQmhoKJRKJQBg7Nix+PvvvzF9+nRcvXoVn3zyCb777jtMnjy5PGediIiIiIiIKoEKfU73v//+i8GDB+P+/ftwdHTE888/j+PHj8PR0REAsGLFCsjlcvTv3x9ZWVkICgrCJ598Io1vZmaG3bt3Y9y4cQgICICNjQ1CQkLw3nvvSTF169bFnj17MHnyZKxatQq1a9fGpk2bEBQU9NTnl4iIiIiIiCqXCn2f7mcJ79NNRERERERUdVSa+3QTERERERERPatYdBMRERERERGZCItuIiIiIiIiIhNh0U1ERERERERkIiy6iYiIiIiIiEyERTcRERERERGRibDoJiIiIiIiIjIRFt1EREREREREJsKim4iIiIiIiMhEWHQTERERERERmQiLbiIiIiIiIiITYdFNREREREREZCIsuomIiIiIiIhMhEU3ERERERERkYmw6CYiIiIiIiIyERbdRERERERERCbCopuIiIiIiIjIRFh0ExEREREREZmIeXknQFWPEAJ5GRnIS09Hbnr64+faR2Ym8rKyoNH+zc7WfeTkQJOdDZGbC01ODkRuLkReHjS5uTrPodFA5OVBaP9qn2s0j4cJ8fhvgecQ4vHr/x75n0uvdWdGt63g8JLaC5LJjGsHIMs/LN/zotql1/+1SXH52wqOlz+2QBtkssfx+mLz9as3n/ztRcTpy6/IuILDC+aqZx4KTb/AMirUj54YnX4Lzn9Rcfqmr2e56RuvyGVm6PwW1VdxyzL/vOiZX0PWnd51WdIyKWJ5GxpXmjwL5VTScilmW9I7Xr5xip1+gfkxJE9D3j/64orM3dAcDJ2nYtb7k+Sqs7yIiIgqGBbd9ERy09KQmZSErHv3kHXvHrIfPHj8SE5GdnIyclJSkKNWI1etRs6jR8hNTUVuWprhRWgpyMzMdB9yOWBmBplM9v+v5fLHX9Lk8sevgcd/ZTLpL+RyyIv6kqf9oidNtHBR8vhp6b4IFiru/39Aka9FSTH//ZV+SChmfKH9WzA2fx8FpiGKiivwo4QhcYViDI3LH1NMXFHLgIgqAUOL82J+nHmiH/+K6tvIOIN+QCnpx6aC7drXJeVhQJ+lXUbF9lXSMqiI818GPyTpHbeIPstynZWYc75Yo3MuKRc9+RY5HQPmzaC8i2ozdB7zz19ZvTf15Gz0e67AeAa/P4ublzLOvVBbwdyLGx+AXKHQndYziEU3FSs7ORlpN24gLT4e6fHxyLh1C+m3byPzzh1kJiYiNzW12PHlCgUsVCqYq1SwdHaGuZcXzG1sYG5rC3MbG5hZWcHc2hpmlpYws7KC3NISZkol5EolzCwtIVco/v9hYfH/fy0sIDM3f/zXzOzxc3Pz/y+miYxU4o8Beo5qKPbHAW07Cv8QUOQPAwWnlf91vukWG2dAjiXF6FsW+pZRodd6ciw0r4bkWHB5GBGn74civeMV148R81PoSJeS3jvG5GrAMi+qr5LeF8bElck61JdrUctKz/I0dJt4ovVTzHtd73wWEfdU51ujgdA3zSLm39BtrchlVMK8G/peN/QzprjlSURVR9DZs1DY25d3Gk+ERTcBAHIzMvDo6lWkXL6MR3/9BfVffyH1+nVkP3hQKNbM2hpWrq5waN4cls7OsHR0hNLREYoaNaCsUQOKatWgcHCARbVqMLO0ZBFMzwS9vwqXUy5ERFQ8Qwp5Q350KPHHpuLGhWE/FBT7g8ozlLOhP+6UmEsJ81foh6CSpm1I3vqWoQHzqO/IPmPmscRl9qQ/ThUTW+yPjiXFGpJ7MbH6cixymegbv0D/cgsLPOtYdFdBQghk/Psv7p86hQenTyP5/Hk8+usviLw8Kcbczg529evDuUsX2NSrB5s6dWDt7g7r2rVh4eDAQpqIiIjKTaFDVcsxFyKikrDoriI0OTlIOHAASb//jnvHjiHj1i1pmKWLC5y7dYO9jw/svb2hatwYli4uLKyJiIiIiIieEIvuKkJmZoYTYbNgnqaGWe06qDVwIJzbtUP11q1h5eZW3ukRERERERFVSiy6q4hcAfze/XXcNFMh1bY6zOQyNLhnD5/LKWicIkPjWg6oacfzr4mIiIiIiMqSTBS6QgCVhlqthr29PVJSUqBSqco7Hb2EEIhLeoTouHuIvnEfl/55iNTMHGm4g40CXi72qOdkB08nO3g42qF2DRtYKfjbDBERERERUX6G1oAsugtYu3Ytli5dioSEBDRv3hwff/wx2rZtW+J4z0LRXZBGCMTfTUXM7WRcvZWM6wkpiEt8hJw8jU5cDTsl3KrZwKWaNVwcrOFsbwVHe0s42lmhhp0SlizKiYiIiIioimHRXQrbtm3DsGHDsH79evj7+2PlypXYvn07YmJi4OTkVOy4z2LRrU+eRoNbD9JxM+kR4u+lIv5eKm4/TMPtB2lIzczVO4610hzVbZRwsFXCwVoBexsF7K0UsLNWwM7SAnZWFrCxtICN0hw2SnNYKy1grTSDmVz+lOeOiIiIiIiobLDoLgV/f3+0adMGa9asAQBoNBq4u7tjwoQJmDlzZrHjVpaiuzipmTlIeJiOJHUG7qZk4K46Ew9Ss3D/USYepmUhOS0b6vRsGPqGsjCTw1ppDksLMygtzGCpMIPS3AwKCzMozeVQmJvBwlwOhbkcFmb/Pf57bq59yGUwN5PDTC6DuVwGM/nj52ZmMpjJZZDLZJDLZTD77688/18ZIJfJIJM9jn189xEZZNC2//9f7bnuMhkgg7bt/58/HvZ4XPzX/v/x/ykQ/18TpEDo3vKkqNPrC553X/I4skLtRZ25z3P6iYiIiIgMY2gNyOOC/5OdnY0zZ84gLCxMapPL5QgMDERUVFSh+KysLGRlZUmv1Wr1U8mzPNlaWqC+qz3qu9oXGZOnEXiU8bj4VmfkIDUzB48ycpCWlYPUjBykZ+ciLSsXmdl5SM/ORWb24+cZ2blISctGZk4esnLykJ2bBw1/DqpwiivJS1evl12R/yz+XvAMplwu+GMQlRW+lSoXrk4TqEIbSVWZ08qwSr98qxvsrCzKO40nwqL7P/fu3UNeXh6cnZ112p2dnXH16tVC8QsXLsT8+fOfVnrPDDO5DA42SjjYKJ+oHyEE8jQCWbl5yMnVICdPo/M3VyOQm6dBrkaDvLzHsQWfa4SARiOgEY8Pm9doBPIEoNEICCEeD//vtUYICIH//goIPG4H/msDgP+GP84v//P//v7Xrm3TjvP4z+P+dX5HyDcM+cbVtywKjJJvmGHLUs9k9YxfIK6YvkucbCkOoCnv31gq6zE/lXS2DFdZV2wFxiVuOly2+XDbLnNVaYlWlbdPZZlNM/mz/8sBi+5SCgsLw5QpU6TXarUa7u7u5ZhR5SKTyWBu9vjQcTxZ/U5ERERERFRuWHT/p2bNmjAzM0NiYqJOe2JiIlxcXArFK5VKKJWsBomIiIiIiKhovHz0fxQKBfz8/BARESG1aTQaREREICAgoBwzIyIiIiIiomcV93TnM2XKFISEhKB169Zo27YtVq5cibS0NIwYMaK8UyMiIiIiIqJnEIvufAYOHIi7d+9izpw5SEhIQIsWLbBv375CF1cjIiIiIiIiMgTv011GqsJ9uomIiIiIiOgxQ2tAntNNREREREREZCIsuomIiIiIiIhMhEU3ERERERERkYmw6CYiIiIiIiIyERbdRERERERERCbCopuIiIiIiIjIRHif7jKivfOaWq0u50yIiIiIiIjI1LS1X0l34WbRXUYePXoEAHB3dy/nTIiIiIiIiOhpefToEezt7YscLhMlleVkEI1Gg9u3b8POzg4ymay809FLrVbD3d0d//zzT7E3b6eni+ulYuJ6qZi4XiomrpeKh+ukYuJ6qZi4XiqmZ2G9CCHw6NEjuLm5QS4v+sxt7ukuI3K5HLVr1y7vNAyiUqkq7Bu3KuN6qZi4XiomrpeKieul4uE6qZi4XiomrpeKqaKvl+L2cGvxQmpEREREREREJsKim4iIiIiIiMhEWHRXIUqlEnPnzoVSqSzvVCgfrpeKieulYuJ6qZi4XioerpOKieulYuJ6qZgq03rhhdSIiIiIiIiITIR7uomIiIiIiIhMhEU3ERERERERkYmw6CYiIiIiIiIyERbdVcTatWvh6ekJS0tL+Pv74+TJk+WdUpWycOFCtGnTBnZ2dnByckKfPn0QExOjE9O5c2fIZDKdx9ixY8sp46ph3rx5hZZ548aNpeGZmZkIDQ1FjRo1YGtri/79+yMxMbEcM64aPD09C60XmUyG0NBQANxWnpbffvsNvXv3hpubG2QyGXbt2qUzXAiBOXPmwNXVFVZWVggMDMS1a9d0Yh48eIAhQ4ZApVLBwcEBo0aNQmpq6lOci8qnuPWSk5ODGTNmwNfXFzY2NnBzc8OwYcNw+/ZtnT70bWOLFi16ynNSuZS0vQwfPrzQMu/Ro4dODLeXslfSetH3v0Ymk2Hp0qVSDLeXsmXId2JDvn/Fx8cjODgY1tbWcHJywrRp05Cbm/s0Z8UoLLqrgG3btmHKlCmYO3cuzp49i+bNmyMoKAhJSUnlnVqVceTIEYSGhuL48eM4ePAgcnJy0L17d6SlpenEjR49Gnfu3JEeS5YsKaeMq46mTZvqLPM//vhDGjZ58mT8/PPP2L59O44cOYLbt2+jX79+5Zht1XDq1CmddXLw4EEAwKuvvirFcFsxvbS0NDRv3hxr167VO3zJkiVYvXo11q9fjxMnTsDGxgZBQUHIzMyUYoYMGYJLly7h4MGD2L17N3777TeMGTPmac1CpVTceklPT8fZs2cxe/ZsnD17Fjt27EBMTAxeeumlQrHvvfeezjY0YcKEp5F+pVXS9gIAPXr00Fnm3377rc5wbi9lr6T1kn993LlzB59//jlkMhn69++vE8ftpewY8p24pO9feXl5CA4ORnZ2No4dO4YtW7YgPDwcc+bMKY9ZMoygSq9t27YiNDRUep2Xlyfc3NzEwoULyzGrqi0pKUkAEEeOHJHaOnXqJCZOnFh+SVVBc+fOFc2bN9c7LDk5WVhYWIjt27dLbVeuXBEARFRU1FPKkIQQYuLEicLLy0toNBohBLeV8gBA7Ny5U3qt0WiEi4uLWLp0qdSWnJwslEql+Pbbb4UQQly+fFkAEKdOnZJi9u7dK2Qymbh169ZTy70yK7he9Dl58qQAIG7evCm1eXh4iBUrVpg2uSpM33oJCQkRL7/8cpHjcHsxPUO2l5dffll07dpVp43bi2kV/E5syPevX375RcjlcpGQkCDFrFu3TqhUKpGVlfV0Z8BA3NNdyWVnZ+PMmTMIDAyU2uRyOQIDAxEVFVWOmVVtKSkpAIDq1avrtH/99deoWbMmfHx8EBYWhvT09PJIr0q5du0a3NzcUK9ePQwZMgTx8fEAgDNnziAnJ0dn22ncuDHq1KnDbecpys7OxldffYWRI0dCJpNJ7dxWyldcXBwSEhJ0tg97e3v4+/tL20dUVBQcHBzQunVrKSYwMBByuRwnTpx46jlXVSkpKZDJZHBwcNBpX7RoEWrUqIGWLVti6dKlFfqwzMoiMjISTk5OaNSoEcaNG4f79+9Lw7i9lL/ExETs2bMHo0aNKjSM24vpFPxObMj3r6ioKPj6+sLZ2VmKCQoKglqtxqVLl55i9oYzL+8EyLTu3buHvLw8nTclADg7O+Pq1avllFXVptFoMGnSJLRv3x4+Pj5S+2uvvQYPDw+4ubnh/PnzmDFjBmJiYrBjx45yzLZy8/f3R3h4OBo1aoQ7d+5g/vz56NChAy5evIiEhAQoFIpCX1SdnZ2RkJBQPglXQbt27UJycjKGDx8utXFbKX/abUDf/xbtsISEBDg5OekMNzc3R/Xq1bkNPSWZmZmYMWMGBg8eDJVKJbW/9dZbaNWqFapXr45jx44hLCwMd+7cwfLly8sx28qtR48e6NevH+rWrYvY2Fi888476NmzJ6KiomBmZsbtpQLYsmUL7OzsCp1Gxu3FdPR9Jzbk+1dCQoLe/z/aYRURi26ipyw0NBQXL17UOXcYgM55W76+vnB1dUW3bt0QGxsLLy+vp51mldCzZ0/pebNmzeDv7w8PDw989913sLKyKsfMSOuzzz5Dz5494ebmJrVxWyEqWU5ODgYMGAAhBNatW6czbMqUKdLzZs2aQaFQ4I033sDChQuhVCqfdqpVwqBBg6Tnvr6+aNasGby8vBAZGYlu3bqVY2ak9fnnn2PIkCGwtLTUaef2YjpFfSeujHh4eSVXs2ZNmJmZFbriX2JiIlxcXMopq6pr/Pjx2L17Nw4fPozatWsXG+vv7w8AuH79+tNIjQA4ODigYcOGuH79OlxcXJCdnY3k5GSdGG47T8/Nmzfx66+/4vXXXy82jtvK06fdBor73+Li4lLogp25ubl48OABtyET0xbcN2/exMGDB3X2cuvj7++P3Nxc3Lhx4+kkSKhXrx5q1qwpfW5xeylfv//+O2JiYkr8fwNweykrRX0nNuT7l4uLi97/P9phFRGL7kpOoVDAz88PERERUptGo0FERAQCAgLKMbOqRQiB8ePHY+fOnTh06BDq1q1b4jjR0dEAAFdXVxNnR1qpqamIjY2Fq6sr/Pz8YGFhobPtxMTEID4+ntvOU7J582Y4OTkhODi42DhuK09f3bp14eLiorN9qNVqnDhxQto+AgICkJycjDNnzkgxhw4dgkajkX4oobKnLbivXbuGX3/9FTVq1ChxnOjoaMjl8kKHN5Pp/Pvvv7h//770ucXtpXx99tln8PPzQ/PmzUuM5fbyZEr6TmzI96+AgABcuHBB54cq7Q+M3t7eT2dGjFXOF3Kjp2Dr1q1CqVSK8PBwcfnyZTFmzBjh4OCgc8U/Mq1x48YJe3t7ERkZKe7cuSM90tPThRBCXL9+Xbz33nvi9OnTIi4uTvz444+iXr16omPHjuWceeU2depUERkZKeLi4sTRo0dFYGCgqFmzpkhKShJCCDF27FhRp04dcejQIXH69GkREBAgAgICyjnrqiEvL0/UqVNHzJgxQ6ed28rT8+jRI/Hnn3+KP//8UwAQy5cvF3/++ad0FexFixYJBwcH8eOPP4rz58+Ll19+WdStW1dkZGRIffTo0UO0bNlSnDhxQvzxxx+iQYMGYvDgweU1S5VCceslOztbvPTSS6J27doiOjpa5/+N9oq+x44dEytWrBDR0dEiNjZWfPXVV8LR0VEMGzasnOfs2Vbcenn06JF4++23RVRUlIiLixO//vqraNWqlWjQoIHIzMyU+uD2UvZK+hwTQoiUlBRhbW0t1q1bV2h8bi9lr6TvxEKU/P0rNzdX+Pj4iO7du4vo6Gixb98+4ejoKMLCwspjlgzCoruK+Pjjj0WdOnWEQqEQbdu2FcePHy/vlKoUAHofmzdvFkIIER8fLzp27CiqV68ulEqlqF+/vpg2bZpISUkp38QruYEDBwpXV1ehUChErVq1xMCBA8X169el4RkZGeLNN98U1apVE9bW1qJv377izp075Zhx1bF//34BQMTExOi0c1t5eg4fPqz3cyskJEQI8fi2YbNnzxbOzs5CqVSKbt26FVpf9+/fF4MHDxa2trZCpVKJESNGiEePHpXD3FQexa2XuLi4Iv/fHD58WAghxJkzZ4S/v7+wt7cXlpaWokmTJuLDDz/UKf7IeMWtl/T0dNG9e3fh6OgoLCwshIeHhxg9enShnR/cXspeSZ9jQgixYcMGYWVlJZKTkwuNz+2l7JX0nVgIw75/3bhxQ/Ts2VNYWVmJmjVriqlTp4qcnJynPDeGkwkhhIl2ohMRERERERFVaTynm4iIiIiIiMhEWHQTERERERERmQiLbiIiIiIiIiITYdFNREREREREZCIsuomIiIiIiIhMhEU3ERERERERkYmw6CYiIiIiIiIyERbdRERERERERCbCopuIiIj0ioyMhEwmQ3JycnmnQkRE9MySCSFEeSdBRERE5a9z585o0aIFVq5cCQDIzs7GgwcP4OzsDJlMVr7JERERPaPMyzsBIiIiqpgUCgVcXFzKOw0iIqJnGg8vJyIiIgwfPhxHjhzBqlWrIJPJIJPJEB4ernN4eXh4OBwcHLB79240atQI1tbWeOWVV5Ceno4tW7bA09MT1apVw1tvvYW8vDyp76ysLLz99tuoVasWbGxs4O/vj8jIyPKZUSIioqeMe7qJiIgIq1atwl9//QUfHx+89957AIBLly4ViktPT8fq1auxdetWPHr0CP369UPfvn3h4OCAX375BX///Tf69++P9u3bY+DAgQCA8ePH4/Lly9i6dSvc3Nywc+dO9OjRAxcuXECDBg2e6nwSERE9bSy6iYiICPb29lAoFLC2tpYOKb969WqhuJycHKxbtw5eXl4AgFdeeQVffvklEhMTYWtrC29vb3Tp0gWHDx/GwIEDER8fj82bNyM+Ph5ubm4AgLfffhv79u3D5s2b8eGHHz69mSQiIioHLLqJiIjIYNbW1lLBDQDOzs7w9PSEra2tTltSUhIA4MKFC8jLy0PDhg11+snKykKNGjWeTtJERETliEU3ERERGczCwkLntUwm09um0WgAAKmpqTAzM8OZM2dgZmamE5e/UCciIqqsWHQTERERgMdXK89/AbSy0LJlS+Tl5SEpKQkdOnQo076JiIieBbx6OREREQEAPD09ceLECdy4cQP37t2T9lY/iYYNG2LIkCEYNmwYduzYgbi4OJw8eRILFy7Enj17yiBrIiKiio1FNxEREQF4fIEzMzMzeHt7w9HREfHx8WXS7+bNmzFs2DBMnToVjRo1Qp8+fXDq1CnUqVOnTPonIiKqyGRCCFHeSRARERERERFVRtzTTURERERERGQiLLqJiIiIiIiITIRFNxEREREREZGJsOgmIiIiIiIiMhEW3UREREREREQmwqKbiIiIiIiIyERYdBMRERERERGZCItuIiIiIiIiIhNh0U1ERERERERkIiy6iYiIiIiIiEyERTcRERERERGRibDoJiIiIiIiIjKR/wMC8VJzu2tilwAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t_3 = np.asarray(out_3box.time)\n", "colors_3 = ['steelblue', 'firebrick', 'purple']\n", "boxes = ['A', 'S', 'D']\n", "labels = ['Atmosphere', 'Surface ocean', 'Deep ocean']\n", "\n", "fig, ax = plt.subplots(figsize=(10, 4))\n", "for box, label, color in zip(boxes, labels, colors_3):\n", " ax.plot(t_3, out_3box.state_variables[box], lw=1.2, color=color, label=label)\n", "ax.set_xlabel('time'); ax.set_ylabel('carbon inventory')\n", "ax.set_title('Three-box atmosphere–surface–deep: exchange + biological pump')\n", "ax.legend()\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "bm-network-cap", "metadata": {}, "source": [ "**Figure.** Three-box atmosphere–surface–deep system. During the pulse ($t < 30$) atmospheric carbon spikes and surface ocean rises slightly via air-sea exchange. After the pulse, the atmosphere relaxes quickly back toward equilibrium with the surface. The deep ocean responds on the longest timescale — the biological pump slowly transfers surface carbon downward, and by $t=200$ has absorbed most of the perturbation." ] }, { "cell_type": "markdown", "id": "cell-14", "metadata": {}, "source": [ "## Solver notes\n", "\n", "`RK45` is appropriate for all box models here; none are stiff under typical parameters.\n", "\n", "**`TwoBoxCarbon` and `GenericBoxModel` both use `uses_post_history=True`.** Diagnostics\n", "(`net_flux`) are computed by replaying tendency callables over the solved history.\n", "\n", "**Time-varying source terms** in the generic framework use `register_source` + a forcing\n", "registered on the corresponding `'source__'` parameter:\n", "```python\n", "spec.register_source('A', value=0.0)\n", "model.register_forcing('source__A', cc.Forcing(lambda t: ...))\n", "```\n", "\n", "**Common pitfall:** `register_exchange('A', 'S', ...)` and `register_exchange('S', 'A', ...)`\n", "would double-count the same reciprocal pathway. Always register each exchange pair once." ] } ], "metadata": { "kernelspec": { "display_name": "pb_jpl_env", "language": "python", "name": "pb_jpl_env" }, "language_info": { "name": "python", "version": "3.10.0" } }, "nbformat": 4, "nbformat_minor": 5 }