From 261a9599ecdc1c5f1c6f37ea4b78fc52fa4bff30 Mon Sep 17 00:00:00 2001 From: "Ekrem M. Esmer" Date: Tue, 16 Sep 2025 10:34:48 -0500 Subject: [PATCH 1/2] Add Rebound.ipynb to Curriculum/Data_Analysis_and_Modeling_Software --- .../Rebound.ipynb | 765 ++++++++++++++++++ 1 file changed, 765 insertions(+) create mode 100644 ExoCore/Curriculum/Data_Analysis_and_Modeling_Software/Rebound.ipynb diff --git a/ExoCore/Curriculum/Data_Analysis_and_Modeling_Software/Rebound.ipynb b/ExoCore/Curriculum/Data_Analysis_and_Modeling_Software/Rebound.ipynb new file mode 100644 index 0000000..33f5ab5 --- /dev/null +++ b/ExoCore/Curriculum/Data_Analysis_and_Modeling_Software/Rebound.ipynb @@ -0,0 +1,765 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "556037e4-c278-4538-b502-8035790beb09", + "metadata": {}, + "source": [ + "# N-Body Simulations and Numerical Integrations with REBOUND\n", + "\n", + "**Goal:** Learn how to simulate gravitational systems (stars, planets, etc.) using numerical integration. \n", + "We will build a system step by step using [REBOUND](https://rebound.readthedocs.io/).\n" + ] + }, + { + "cell_type": "markdown", + "id": "f2e68712-4250-4757-9c9d-e09d22e4f203", + "metadata": {}, + "source": [ + "## What is Numerical Integration?\n", + "\n", + "- Celestial bodies interact through **Newton’s law of gravitation**:\n", + "\n", + "$$\n", + "\\vec{F}_{ij}(r_{ij}) = -\\,G\\,\\frac{m_i m_j}{|\\vec{r}_{ij}|^3}\\,\\vec{r}_{ij}\n", + "$$\n", + "\n", + "- This forms a set of **coupled differential equations** (the N-body problem). \n", + "- Except for the simple 2-body case, **no analytic solutions exist** → we use numerical methods to step positions and velocities forward in time.\n" + ] + }, + { + "cell_type": "markdown", + "id": "9421cffe-6569-4068-95f9-5ac073a6e287", + "metadata": {}, + "source": [ + "## Types of Numerical Integrators\n", + "\n", + "| Integrator | Type | Features |\n", + "|------------|--------------|-----------------------------------|\n", + "| **WHFast** | Symplectic | Fast and stable for long-term systems (needs fixed timestep) |\n", + "| **IAS15** | Adaptive | Very accurate, handles close encounters, slower |\n", + "\n", + "- **Symplectic** methods conserve energy well over long times but use fixed timesteps.\n", + "- **Adaptive** methods adjust timestep for accuracy, useful for eccentric/chaotic orbits.\n", + "\n", + "For more: [**Integrators**](https://rebound.readthedocs.io/en/latest/integrators/)" + ] + }, + { + "cell_type": "markdown", + "id": "b480d4d1-1ad7-4393-9c9b-0ec9c48015cb", + "metadata": {}, + "source": [ + "## What Forces Are Included?\n", + "\n", + "- By default, **REBOUND uses only Newtonian gravity** between massive bodies.\n", + "- All **massive particles** interact gravitationally with each other.\n", + "- **Massless particles** (test particles) feel the gravity of massive bodies, but do **not** affect anything themselves.\n", + "- This means our simulations are purely **Newtonian N-body systems** unless we explicitly add more physics.\n", + "- **Additional forces** (like general relativity, tides, or drag) are **not included by default**. \n", + " They can be added manually using the optional plugin library [**REBOUNDx**](https://reboundx.readthedocs.io/).\n" + ] + }, + { + "cell_type": "markdown", + "id": "59d2d0f6-0cd8-4536-9365-a2007abe7c26", + "metadata": {}, + "source": [ + "## Orbital Elements\n", + "\n", + "We will use orbital elements to describe orbits as defined in [REBOUND’s orbital elements documentation](https://rebound.readthedocs.io/en/latest/orbitalelements/).\n", + "\n", + "We track orbits using orbital elements including (but not limited to):\n", + "\n", + "- **a** — semi-major axis (size) \n", + "- **e** — eccentricity (shape) \n", + "- **i** — inclination (tilt) \n", + "- **Ω** — longitude of ascending node (horizontal orientation) \n", + "- **ω** — argument of periastron (ellipse orientation) \n", + "- **f** — true anomaly (current orbital position)\n", + "\n", + "These are easier to interpret and compare than raw position/velocity values.\n", + "\n", + "**Note 1:** In REBOUND you can also add particles directly using **Cartesian coordinates and velocities** \n", + "(`x, y, z, vx, vy, vz`) — but we will not do that here.\n", + "\n", + "**Note 2:** Some orbital elements can be used **instead of others**. \n", + "For example, you can specify **orbital period (`P`)** instead of **semi-major axis (`a`)** — \n", + "however, you **cannot give both at the same time**. \n", + "\n", + "REBOUND will compute the missing value from the one you provide using Kepler’s third law.\n" + ] + }, + { + "cell_type": "markdown", + "id": "efe54962-298a-4e26-a6e7-31790936f04b", + "metadata": {}, + "source": [ + "## REBOUND\n", + "\n", + "[REBOUND](https://rebound.readthedocs.io/) is a modern, high-performance N-body integrator with Python bindings.\n", + "\n", + "It allows us to:\n", + "\n", + "- Define bodies by their orbital elements\n", + "- Choose integrators\n", + "- Step the system forward in time\n", + "- Extract orbital elements\n", + "- Plot orbits easily\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "820becbe-16e8-48c8-9dfa-9ed476bd1685", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import rebound\n", + "\n", + "# Create simulation\n", + "sim = rebound.Simulation()\n", + "sim.units = ('AU', 'yr', 'Msun')\n", + "\n", + "# Add star and planet\n", + "sim.add(m=1.0) # star\n", + "sim.add(m=3e-6, a=1.0, e=0.02) # planet b (~Earth-mass)\n", + "sim.move_to_com()\n", + "\n", + "# Integrate and log orbital elements\n", + "# We will integrate for 50 yrs.\n", + "times = np.linspace(0, 50, 500)\n", + "a_vals, e_vals = [], []\n", + "\n", + "for t in times:\n", + " sim.integrate(t)\n", + " o = sim.orbits()[0]\n", + " a_vals.append(o.a)\n", + " e_vals.append(o.e)\n", + "\n", + "# Plot orbit in the x–y plane\n", + "fig = rebound.OrbitPlot(sim, color=True)\n", + "plt.title(\"Star + Planet b — Orbit\")\n", + "plt.show()\n", + "\n", + "# Plot orbital elements vs time\n", + "plt.figure(figsize=(7,3))\n", + "plt.subplot(1,2,1)\n", + "plt.plot(times, a_vals)\n", + "plt.xlabel('Time [yr]'); plt.ylabel('a [AU]')\n", + "plt.title('Semi-major axis')\n", + "plt.subplot(1,2,2)\n", + "plt.plot(times, e_vals)\n", + "plt.xlabel('Time [yr]'); plt.ylabel('e')\n", + "plt.title('Eccentricity')\n", + "plt.tight_layout(); plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "ffcea2a1-830e-4b42-a2ee-86115d61098e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import rebound\n", + "\n", + "# Create a new simulation\n", + "sim = rebound.Simulation()\n", + "sim.units = ('AU', 'yr', 'Msun')\n", + "\n", + "# Add star and two planets\n", + "sim.add(m=1.0) # star\n", + "sim.add(m=3e-6, a=1.0, e=0.02) # planet b (~Earth-mass)\n", + "sim.add(m=1e-3, a=1.7, e=0.05) # planet c (~Jupiter-mass)\n", + "sim.move_to_com()\n", + "\n", + "# Integrate and record orbital elements\n", + "times = np.linspace(0, 200, 1000)\n", + "a_b, e_b, a_c, e_c = [], [], [], []\n", + "\n", + "for t in times:\n", + " sim.integrate(t)\n", + " orbits = sim.orbits()\n", + " a_b.append(orbits[0].a); e_b.append(orbits[0].e)\n", + " a_c.append(orbits[1].a); e_c.append(orbits[1].e)\n", + "\n", + "# Plot the orbits in the x–y plane\n", + "fig = rebound.OrbitPlot(sim, color=True)\n", + "plt.title(\"Star + Two Planets — Orbits\")\n", + "plt.show()\n", + "\n", + "# Plot orbital elements vs time\n", + "plt.figure(figsize=(7,4))\n", + "plt.subplot(2,2,1); plt.plot(times, a_b); plt.ylabel('a_b [AU]')\n", + "plt.subplot(2,2,2); plt.plot(times, a_c); plt.ylabel('a_c [AU]')\n", + "plt.subplot(2,2,3); plt.plot(times, e_b); plt.xlabel('Time [yr]'); plt.ylabel('e_b')\n", + "plt.subplot(2,2,4); plt.plot(times, e_c); plt.xlabel('Time [yr]'); plt.ylabel('e_c')\n", + "plt.suptitle('Orbital element evolution')\n", + "plt.tight_layout(); plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "9d63ddb9-f87a-456b-9e63-f1e7c826d557", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import rebound\n", + "\n", + "# Create a new simulation\n", + "sim = rebound.Simulation()\n", + "sim.units = ('AU', 'yr', 'Msun')\n", + "\n", + "# Add star and two planets\n", + "sim.add(m=1.0) \n", + "sim.add(m=3e-6, a=1.0, e=0.02) \n", + "sim.add(m=1e-3, a=1.7, e=0.05) \n", + "\n", + "# Add 5 massless particles\n", + "for i in range(5):\n", + " sim.add(m=0.0, a=2.0 + 0.2*i, e=0.05*i)\n", + "\n", + "sim.move_to_com()\n", + "\n", + "# Integrate and record orbital elements\n", + "times = np.linspace(0, 300, 1200)\n", + "a_all = [[] for _ in range(sim.N-1)]\n", + "e_all = [[] for _ in range(sim.N-1)]\n", + "\n", + "for t in times:\n", + " sim.integrate(t)\n", + " for i, o in enumerate(sim.orbits()):\n", + " a_all[i].append(o.a)\n", + " e_all[i].append(o.e)\n", + "\n", + "# Plot the orbits in the x–y plane\n", + "fig = rebound.OrbitPlot(sim, color=True)\n", + "plt.title(\"Star + Two Planets + 5 Massless Particles — Orbits\")\n", + "plt.show()\n", + "\n", + "# Plot semi-major axis and eccentricity vs time\n", + "fig, axs = plt.subplots(2, 1, figsize=(7,6), constrained_layout=True)\n", + "\n", + "for i in range(len(a_all)):\n", + " axs[0].plot(times, a_all[i], label=f'Body {i+1}')\n", + " axs[1].plot(times, e_all[i], label=f'Body {i+1}')\n", + "\n", + "axs[0].set_ylabel('a [AU]')\n", + "axs[1].set_ylabel('e')\n", + "axs[1].set_xlabel('Time [yr]')\n", + "axs[0].set_title('Semi-major axis evolution')\n", + "axs[1].set_title('Eccentricity evolution')\n", + "axs[0].legend()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "0cc2f1c2-4930-411a-915d-eed89b8f42e0", + "metadata": {}, + "source": [ + "## From “messy” element evolution to chaos indicators\n", + "\n", + "In the last plots, some bodies show wandering semi-major axes and eccentricities. That can happen for two main reasons:\n", + "\n", + "1) **Numerical artifacts** — e.g., timestep too large for a symplectic method, or insufficient runtime to average out short-term oscillations. \n", + "2) **Genuine dynamical complexity** — resonance overlap and strong perturbations can make trajectories **chaotic**, i.e., exponentially sensitive to tiny changes in initial conditions.\n", + "\n", + "To **distinguish quasi-periodic (regular)** behavior from **chaotic** behavior, we use **chaos indicators**. A standard choice is **MEGNO** (Mean Exponential Growth factor of Nearby Orbits):\n", + "\n", + "- For **regular** motion, the time-averaged MEGNO tends toward ~**2**. \n", + "- For **chaotic** motion, MEGNO **grows above 2**.\n", + "\n", + "In practice, we (i) keep a physically sensible integrator and step size, (ii) integrate long enough to avoid transient misclassification, and (iii) compute MEGNO to quantify the behavior.\n", + "\n", + "Next, we’ll add a short MEGNO run to our current setup and inspect whether the dynamics are regular or chaotic.\n" + ] + }, + { + "cell_type": "markdown", + "id": "aa2c0719-90a3-431c-9010-134e3c0b0c75", + "metadata": {}, + "source": [ + "## Stability map with MEGNO (two massive planets, WHFast)\n", + "\n", + "We map dynamical behavior by scanning the outer planet’s initial semi-major axis \\(a_c\\) and eccentricity \\(e_c\\). \n", + "For each grid point we integrate with WHFast and record **MEGNO**.\n", + "\n", + "We use REBOUND’s built-in chaos tools (`sim.init_megno(...)`, `sim.calculate_megno()`), as in the REBOUND tutorial:\n", + "https://rebound.readthedocs.io/en/latest/ipython_examples/Megno/\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "28625400-db80-4497-8525-0b5aa273611d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import rebound\n", + "\n", + "# ----- grid over outer planet's (a, e)\n", + "N_a, N_e = 40, 30\n", + "a_vals = np.linspace(7.0, 10.0, N_a) # AU\n", + "e_vals = np.linspace(0.0, 0.50, N_e)\n", + "\n", + "# ----- integration controls\n", + "tmax = 500.0 # years to integrate each grid point (increase for more robust classification)\n", + "dt = 0.025 # years; small fraction of the shortest orbital period\n", + "exit_max_distance = 20.0 # AU; if a body escapes, we mark as strongly chaotic\n", + "megno_if_escape = 10.0 # large MEGNO value on escape\n", + "\n", + "Y = np.full((N_a, N_e), np.nan)\n", + "\n", + "for ia, a_c in enumerate(a_vals):\n", + " for je, e_c in enumerate(e_vals):\n", + " # Build sim: Star + Jupiter-like + scanned planet (Saturn-like mass)\n", + " sim = rebound.Simulation()\n", + " sim.units = ('AU', 'yr', 'Msun')\n", + " sim.integrator = \"whfast\"\n", + " sim.ri_whfast.safe_mode = 0\n", + " sim.dt = dt\n", + "\n", + " sim.add(m=1.0) # star\n", + " sim.add(m=0.000954, a=5.204, e=0.048, M=0.600, omega=0.257) # Jupiter-like (fixed)\n", + " sim.add(m=0.000285, a=a_c, e=e_c, M=0.871, omega=1.616) # Saturn-like (scanned)\n", + "\n", + " sim.move_to_com()\n", + " sim.exit_max_distance = exit_max_distance\n", + "\n", + " # Initialize chaos indicator (fixed seed for reproducibility)\n", + " sim.init_megno(seed=0)\n", + "\n", + " try:\n", + " # Integrate to tmax; exact_finish_time=0 preserves WHFast's fixed-step nature\n", + " sim.integrate(tmax, exact_finish_time=0)\n", + " # MEGNO accessor: prefer calculate_megno(); fall back to megno() if needed\n", + " try:\n", + " Y[ia, je] = sim.calculate_megno()\n", + " except AttributeError:\n", + " Y[ia, je] = sim.megno()\n", + " except rebound.Escape:\n", + " Y[ia, je] = megno_if_escape\n", + "\n", + "# ----- plot MEGNO map\n", + "fig = plt.figure(figsize=(7,5))\n", + "extent = [a_vals.min(), a_vals.max(), e_vals.min(), e_vals.max()]\n", + "im = plt.imshow(\n", + " Y.T, origin='lower', aspect='auto', extent=extent,\n", + " vmin=1.9, vmax=4.0, cmap=\"RdYlGn_r\"\n", + ")\n", + "plt.xlabel(r\"outer semi-major axis $a_c$ [AU]\")\n", + "plt.ylabel(r\"outer eccentricity $e_c$\")\n", + "cbar = plt.colorbar(im, pad=0.02)\n", + "cbar.set_label(r\"MEGNO $\\langle Y \\rangle$\")\n", + "plt.title(\"Two-planet MEGNO map (WHFast)\")\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "fc3796cf-02b6-4549-8dcc-47c6a429cc96", + "metadata": {}, + "source": [ + "## Interpreting the MEGNO map\n", + "\n", + "This plot shows the MEGNO value of the system as a function of the outer planet’s initial semi-major axis \\(a_c\\) (x-axis) and eccentricity \\(e_c\\) (y-axis).\n", + "\n", + "- **Green region (MEGNO ≈ 2):** \n", + " These are **regular, stable configurations**. Nearby orbits stay close together over time, and the dynamics are quasi-periodic.\n", + "\n", + "- **Yellow to red regions (MEGNO > 2):** \n", + " These are **chaotic configurations**. Small changes in initial conditions grow exponentially, leading to diverging trajectories.\n", + "\n", + "- **Pattern:** \n", + " The transition from stable (green) to chaotic (red) occurs mostly at **higher eccentricities**, and also along **narrow diagonal bands**. \n", + " These bands mark **mean-motion resonances** where gravitational interactions strongly perturb the orbits, triggering chaos.\n", + "\n", + "- **Interpretation:** \n", + " Stable orbits are mostly confined to **low-eccentricity** regions, while **chaotic behavior dominates at higher \\(e_c\\)** or near resonance crossings.\n" + ] + }, + { + "cell_type": "markdown", + "id": "50cf327e-2963-44ec-8819-88820449f359", + "metadata": {}, + "source": [ + "## Modeling Observables: Radial Velocities\n", + "\n", + "So far, we have tracked orbital elements, which describe the system internally. \n", + "But we detect planets through **measurable quantities**, like:\n", + "\n", + "- **Radial velocity (RV):** line-of-sight velocity of the star, measured via Doppler shifts.\n", + "- **Transits / light curves:** dips in stellar brightness when a planet crosses in front (not covered here).\n", + "\n", + "We can compute the RV of the star as the **line-of-sight (z-axis) velocity** of the star relative to the system’s barycenter:\n", + "\n", + "$$\n", + "v_\\mathrm{rad}(t) = v_{x,\\mathrm{star}}(t) - v_{x,\\mathrm{bary}}(t)\n", + "$$\n", + "\n", + "Assuming the observer looks along the x axis (an edge-on system), this gives a simple synthetic RV curve.\n" + ] + }, + { + "cell_type": "markdown", + "id": "aeca344c-1d46-4b6f-b00e-19b1d717802d", + "metadata": {}, + "source": [ + "## Example: Radial Velocity of the Sun induced by Earth, Jupiter, and Saturn\n", + "\n", + "We now simulate a simple real system: **Earth, Jupiter, and Saturn orbiting the Sun**. \n", + "As these planets orbit, they pull the Sun around the system barycenter, producing a combined radial-velocity (RV) signal.\n", + "\n", + "Assumptions (coplanar, default angles):\n", + "- Sun mass = $1.0\\,M_\\odot$\n", + "- Earth mass = $3.0\\times10^{-6}\\,M_\\odot$, $a=1.0\\,\\mathrm{AU}$, $e=0.0167$\n", + "- Jupiter mass = $0.000954\\,M_\\odot$, $a=5.2\\,\\mathrm{AU}$, $e=0.048$\n", + "- Saturn mass = $0.000285\\,M_\\odot$, $a=9.58\\,\\mathrm{AU}$, $e=0.0565$\n", + "\n", + "We measure the Sun’s line-of-sight velocity along the x axis.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "4fdeef29-10a5-463e-b1fa-cbd876f93d44", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import rebound\n", + "\n", + "# Sun–Earth–Jupiter–Saturn RV simulation\n", + "sim = rebound.Simulation()\n", + "sim.units = ('AU','yr','Msun')\n", + "sim.integrator = 'whfast'\n", + "sim.dt = 0.002\n", + "\n", + "# Bodies\n", + "sim.add(m=1.0) # Sun\n", + "sim.add(m=3.0e-6, a=1.0, e=0.0167) # Earth\n", + "sim.add(m=0.000954, a=5.2, e=0.048) # Jupiter\n", + "sim.add(m=0.000285, a=9.58, e=0.0565) # Saturn\n", + "sim.move_to_com()\n", + "\n", + "# Integrate and record Sun's RV (vz)\n", + "T_end = 50.0 # years\n", + "N = 4000\n", + "times = np.linspace(0, T_end, N)\n", + "rv_kms = []\n", + "\n", + "for t in times:\n", + " sim.integrate(t)\n", + " sun = sim.particles[0]\n", + " rv_kms.append(sun.vx * 4.74047 * 1000) # AU/yr → m/s\n", + "\n", + "# Plot\n", + "plt.figure(figsize=(8,4))\n", + "plt.plot(times, rv_kms, lw=1)\n", + "plt.xlabel('Time [yr]')\n", + "plt.ylabel('Sun radial velocity [m/s]')\n", + "plt.title('Radial velocity of the Sun (Earth + Jupiter + Saturn)')\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "e45daf64-8327-4613-ba56-3ec363bdcee3", + "metadata": {}, + "source": [ + "## Saving and Loading Simulations\n", + "\n", + "For longer or repeated runs, REBOUND lets you save simulations using `SimulationArchive`.\n", + "\n", + "- It stores the full state of the simulation (positions, velocities, masses, etc.) at multiple times.\n", + "- You can later load the archive, inspect it, or continue the simulation.\n", + "\n", + "This is useful for:\n", + "- Avoiding recomputation in long runs\n", + "- Comparing system states at different times\n", + "- Sharing exact simulation setups with others\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "e5aa8ee3-462f-4fa9-bd8e-3ff8078b7deb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAxYAAAE1CAYAAAB6GXYWAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8ekN5oAAAACXBIWXMAAA9hAAAPYQGoP6dpAABst0lEQVR4nO3dd1hT59sH8G8CJGyQLchUFEQEZYl7oLhr3aNV0da2riraVlur1tb9tm5FbZ2tdbRq1TpqFTcVBVFRQUVQFAEB2TJz3j8s+TUCCjLC+H6uK5fmyXNO7pOThHPnWSJBEAQQERERERFVgFjZARARERERUe3HxIKIiIiIiCqMiQUREREREVUYEwsiIiIiIqowJhZERERERFRhTCyIiIiIiKjCmFgQEREREVGFMbEgIiIiIqIKY2JBREREREQVxsSCiKiWmj9/PkQiUZnq7ty5Ew4ODlBTU4O+vn7VBkZvrXfv3vjwww8Vyu7du4cePXpAT08PIpEIBw8eVE5wlaxz587o3LmzUp5727ZtEIlEiImJqbR9xsTEQCQSYdu2bZW2T2U5c+YMRCIRfvvttzfWHTt2LGxsbKoslvz8fFhaWmL9+vVV9hxUeZhYUJ138+ZNDB48GNbW1lBXV4eFhQW6d++ONWvWKDu0ahcXF4f58+cjLCysTPUzMzMxb9489OzZEwYGBpX2R7Nz585o0aLFW2176dIlzJ8/H6mpqRWOozqU9zWvChERERg7diwaN26MzZs3Y9OmTUqLpayePHmCoUOHQl9fH7q6unjnnXfw4MGDanv+ogvPN92KLqiePn2KWbNmoUuXLtDR0YFIJMKZM2fK9ZwXL17EX3/9hS+++EKhfMyYMbh58yYWLlyInTt3wt3dvZKOsmrExMTAz88PjRs3hrq6OszMzNCxY0fMmzdP2aFVil27dmHlypXKDqPeUFNTg7+/PxYuXIicnBxlh0NvoKrsAIiq0qVLl9ClSxdYWVnhww8/hJmZGWJjY/HPP/9g1apVmDJlirJDrFZxcXH45ptvYGNjA1dX1zfWT0pKwoIFC2BlZQUXF5dyXyhVhUuXLuGbb77B2LFja8Uv7+V9zavCmTNnIJPJsGrVKjRp0kQpMZRHZmYmunTpgrS0NHz55ZdQU1PDihUr0KlTJ4SFhcHQ0LDKY+jYsSN27typUPbBBx/A09MTEyZMkJdpa2sDACIjI7F06VLY29vD2dkZQUFB5X7O5cuXo1u3bgrn6MWLFwgKCsJXX32FyZMnv+XRVJ/79+/Dw8MDGhoaGDduHGxsbPD06VOEhoZi6dKl+Oabb+R1//rrLyVG+vZ27dqF8PBwTJs2TaHc2toaL168gJqamnICU5LNmzdDJpNV6XP4+flh1qxZ2LVrF8aNG1elz0UVw8SC6rSFCxdCT08PV65cKXYRmpiYqJygapGGDRvi6dOnMDMzw9WrV+Hh4aHskJQuJycHEokEYnHtafAteq+/KRETBAE5OTnQ0NCohqhKt379ety7dw/BwcHy91yvXr3QokULfP/991i0aFGVx2BnZwc7OzuFso8//hh2dnZ47733itV3c3NDcnIyDAwM8Ntvv2HIkCHler7ExET8+eefCAgIUCh/9uwZgDefOwDIysqClpZWuZ63sq1YsQKZmZkICwuDtbW1wmOvfudKJJLqDK3KiUQiqKurKzuMUlXV57s6Eil9fX306NED27ZtY2JRw9Wev4xEbyEqKgpOTk4l/lE2MTEpVvbzzz/Dzc0NGhoaMDAwwPDhwxEbG1us3rp162BnZwcNDQ14enri/PnzxfoLF/VR3bt3L7755htYWFhAR0cHgwcPRlpaGnJzczFt2jSYmJhAW1sbfn5+yM3NfauYiroW3b59G126dIGmpiYsLCywbNkyhXiKLtL8/PzkXTle17VJKpXCzMys1Mf/Ky0tDREREUhLSytT/VeJRCJMnjwZBw8eRIsWLSCVSuHk5ITjx4/L68yfPx+fffYZAMDW1lZ+DP/tJ10V53D37t2YM2cOLCwsoKmpifT0dKSkpGDmzJlwdnaGtrY2dHV10atXL1y/fl1h+ze95pcvX0bPnj2hp6cHTU1NdOrUCRcvXiwW74ULF+Dh4QF1dXU0btwYGzduLNPramNjI++CYmxsDJFIhPnz58sf69u3L06cOAF3d3doaGjI9/vgwQMMGTIEBgYG0NTURJs2bfDnn38q7Luy3uOv+u233+Dh4aGQyDo4OKBbt27Yu3dvmY67uuno6MDAwOCtt//zzz9RUFAAHx8fedn8+fPlF+efffaZQterovE1t2/fxsiRI9GgQQO0b98eAFBQUIBvv/0WjRs3hlQqhY2NDb788stir33R+T9z5oz8/Ds7O8tbJvfv3w9nZ2eoq6vDzc0N165de+NxREVFoVGjRsWSCqD4d25lf2e+bozDf9/3pfnjjz/Qp08fmJubQyqVonHjxvj2229RWFioEPOff/6Jhw8fFusOV9rznz59Gh06dICWlhb09fXxzjvv4M6dOwp1is7n/fv35a2xenp68PPzQ3Z2tkLdrVu3omvXrjAxMYFUKkXz5s2xYcOGYsfzus93amoqpk+fDhsbG0ilUjRq1AijR49GUlKSwj5kMhkWLlyIRo0aQV1dHd26dcP9+/cV6vx3jEV+fj4MDAzg5+dXLJ709HSoq6tj5syZ8rLc3FzMmzcPTZo0gVQqhaWlJT7//PMSvye6d++OCxcuICUlpdhjVHOwxYLqNGtrawQFBSE8PPyNffoXLlyIr7/+GkOHDsUHH3yAZ8+eYc2aNejYsSOuXbsmT042bNiAyZMno0OHDpg+fTpiYmIwYMAANGjQAI0aNSq238WLF0NDQwOzZs3C/fv3sWbNGqipqUEsFuP58+eYP38+/vnnH2zbtg22traYO3duuWMCgOfPn6Nnz54YOHAghg4dit9++w1ffPEFnJ2d0atXLzg6OmLBggWYO3cuJkyYgA4dOgAA2rZtW/EXGsCBAwfg5+eHrVu3YuzYsW+1jwsXLmD//v2YOHEidHR0sHr1agwaNAiPHj2CoaEhBg4ciLt37+LXX3/FihUrYGRkBODlBTNQdefw22+/hUQiwcyZM5GbmwuJRILbt2/j4MGDGDJkCGxtbZGQkICNGzeiU6dOuH37NszNzd/4mp8+fRq9evWCm5sb5s2bB7FYLL9oOH/+PDw9PQG8HCfUo0cPGBsbY/78+SgoKMC8efNgamr6xtd05cqV2LFjBw4cOIANGzZAW1sbLVu2lD8eGRmJESNG4KOPPsKHH36IZs2aISEhAW3btkV2djamTp0KQ0NDbN++Hf3798dvv/2Gd999V+E5KvIef5VMJsONGzdK/FXS09MTf/31FzIyMqCjo/PGYy9JdHQ0Jk+ejB07dlRLl6qyunTpEgwNDRUuyAcOHAh9fX1Mnz4dI0aMQO/eveVdr4oMGTIE9vb2WLRoEQRBAPCyy9b27dsxePBgzJgxA5cvX8bixYtx584dHDhwQGH7+/fvY+TIkfjoo4/w3nvv4f/+7//Qr18/BAQE4Msvv8TEiRMBvDzHQ4cORWRk5Gtb66ytrfH333/j9OnT6Nq161u9FpX5fiqPbdu2QVtbG/7+/tDW1sbp06cxd+5cpKenY/ny5QCAr776CmlpaXj8+DFWrFgBAMXOyX/9/fff6NWrF+zs7DB//ny8ePECa9asQbt27RAaGlps0PPQoUNha2uLxYsXIzQ0FD/++CNMTEywdOlSeZ0NGzbAyckJ/fv3h6qqKg4fPoyJEydCJpNh0qRJCvsr6fOdmZmJDh064M6dOxg3bhxat26NpKQkHDp0CI8fP5Z/rwLAkiVLIBaLMXPmTKSlpWHZsmUYNWoULl++XOLxqqmp4d1338X+/fuxceNGhVapgwcPIjc3F8OHDwfw8rPev39/XLhwARMmTICjoyNu3ryJFStW4O7du8UmKXBzc4MgCLh06RL69u1b6mtOSiYQ1WF//fWXoKKiIqioqAje3t7C559/Lpw4cULIy8tTqBcTEyOoqKgICxcuVCi/efOmoKqqKi/Pzc0VDA0NBQ8PDyE/P19eb9u2bQIAoVOnTvKywMBAAYDQokULhecbMWKEIBKJhF69eik8l7e3t2BtbV3umARBEDp16iQAEHbs2CEvy83NFczMzIRBgwbJy65cuSIAELZu3fqGV664N227devWMu+7U6dOgpOTk0IZAEEikQj379+Xl12/fl0AIKxZs0Zetnz5cgGAEB0drbB9VZ5DOzs7ITs7W2G/OTk5QmFhoUJZdHS0IJVKhQULFsjLSnvdZDKZYG9vL/j6+goymUxenp2dLdja2grdu3eXlw0YMEBQV1cXHj58KC+7ffu2oKKiIpTla3zevHkCAOHZs2cK5dbW1gIA4fjx4wrl06ZNEwAI58+fl5dlZGQItra2go2Njfy4K/oeL8mzZ88EAAqvYZF169YJAISIiIg3HnNpbt++LZiYmAitW7cWnj9/Xq5ttbS0hDFjxryx3r59+wQAQmBgYJn33b59e8HNza1YeXR0tABAWL58uUJ50TkdMWKEQnlYWJgAQPjggw8UymfOnCkAEE6fPi0vKzr/ly5dkpedOHFCACBoaGgovN82btxYpmMKDw8XNDQ0BACCq6ur8OmnnwoHDx4UsrKyitXt1KlTpX5nFr1WJX0HARDmzZsnv1/0ffXf75FXP+OCIAgfffSRoKmpKeTk5MjL+vTpU+L7uKTnd3V1FUxMTITk5GR52fXr1wWxWCyMHj1aXlZ0PseNG6ewz3fffVcwNDRUKCspTl9fX8HOzk6hrLTP99y5cwUAwv79+4vtp+i7qOhcODo6Crm5ufLHV61aJQAQbt68KS8bM2aMwutR9B46fPiwwr579+6tEOPOnTsFsVis8D0jCIIQEBAgABAuXryoUB4XFycAEJYuXVosbqo52BWK6rTu3bsjKCgI/fv3x/Xr17Fs2TL4+vrCwsIChw4dktfbv38/ZDIZhg4diqSkJPnNzMwM9vb2CAwMBABcvXoVycnJ+PDDD6Gq+r8Gv1GjRqFBgwYlxjB69GiFPqheXl4QBKHYL7JeXl6IjY1FQUFBuWIqoq2trdD3WyKRwNPTs9pm0hk7diwEQXjr1goA8PHxQePGjeX3W7ZsCV1d3TIdQ1WewzFjxhTrlyyVSuW/3BYWFiI5ORna2tpo1qwZQkND3xhvWFgY7t27h5EjRyI5OVkeb1ZWFrp164Zz585BJpOhsLAQJ06cwIABA2BlZSXf3tHREb6+vm98njextbUttp+jR4/C09NT3rUGePn+mjBhAmJiYnD79m2F+m/7Hi/JixcvALx8fV9V1H+9qE5JCgoKkJOTU+rN1tYWR44cwYMHD+Dr64v09PRS91WdkpOTS33/vc7HH3+scP/o0aMAAH9/f4XyGTNmAECx7mzNmzeHt7e3/L6XlxcAoGvXrgrvt6LyN30WnZycEBYWhvfeew8xMTFYtWoVBgwYAFNTU2zevLlMx1SZ76fy+O9nPCMjA0lJSejQoQOys7MRERFR7v09ffoUYWFhGDt2rEI3uZYtW6J79+7yc/Vfr57PDh06IDk5WeF9+t8409LSkJSUhE6dOuHBgwfFuqKW9Pn+/fff4eLiUqzlEUCx6av9/PwUWh2KWl1f9z7o2rUrjIyMsGfPHnnZ8+fPcfLkSQwbNkxetm/fPjg6OsLBwUHhO7uopevVv3FFn49Xu2tRzcKuUFTneXh4YP/+/cjLy8P169dx4MABrFixAoMHD0ZYWBiaN2+Oe/fuQRAE2Nvbl7iPoj9yDx8+BIBiM+uoqqqWOo/3f/84A4Cenh4AwNLSsli5TCZDWloaDA0NyxxTkUaNGhX7o9CgQQPcuHGjxO1roldfK+DlMTx//vyN21blObS1tS1WVjTL0vr16xEdHa3QD7ssXWzu3bsH4GXSUpqifuUvXrwo8biaNWtW4sVJeZR0bA8fPpRfSP6Xo6Oj/PH/di182/d4SYoumkrqY1001eTrBp/OmjUL33//famP/1dwcDC+/PJLrF27tkz1q5rwb1em8nj1/D18+BBisbjY+9vMzAz6+vry93+R8pw7AGX6LDZt2hQ7d+5EYWEhbt++jSNHjmDZsmWYMGECbG1tFcaRlKQy30/lcevWLcyZMwenT58ulnC+zdixote6WbNmxR5zdHTEiRMnig24f/XYiy6mnz9/Dl1dXQAvpyWeN28egoKCio2/SEtLk79eQMmf76ioKAwaNKhMx/C6eEqjqqqKQYMGYdeuXcjNzYVUKsX+/fuRn5+vkFjcu3cPd+7ckXdlfdWrg/2LPh9lXbuHlIOJBdUbEolEPiC0adOm8PPzw759+zBv3jzIZDKIRCIcO3YMKioqxbZ9XR/aNylpf68rL/ryLG9Mb9pfbVCRY6jKc1jSheyiRYvw9ddfY9y4cfj2229hYGAAsViMadOmlWnqxaI6y5cvL3UaWm1t7TINdq6Iypgh5m3f4yUxMDCAVCrF06dPiz1WVGZubl7q9sOHD3/jeKqcnBzMnj0bBQUFGDly5GvrVhdDQ8MyXbS/qrTzV9aLr8o8dyXtw9nZGc7OzvD29kaXLl3wyy+/vDGxeNuYSjvm/yb9pUlNTUWnTp2gq6uLBQsWyNfgCA0NxRdffFHl06kWedMxRkVFoVu3bnBwcMAPP/wAS0tLSCQSHD16FCtWrCgWZ0U/32/7Phg+fDg2btyIY8eOYcCAAdi7dy8cHBzg4uIiryOTyeDs7IwffvihxH28mkgWfT7+OwaEah4mFlQvFS0wVXSh0rhxYwiCAFtbWzRt2rTU7YoGVt6/fx9dunSRlxcUFCAmJkZhUGxFlTWm8qgLv/SUdgzVfQ5/++03dOnSBT/99JNCeWpqqsIfvtfFCwC6urqvvdAyNjaGhoaGvIXjvyIjI8sUa3lZW1uXuO+i7iAlzfhTWcRiMZydnXH16tVij12+fBl2dnavHbjt7u7+2gXk8vLyMGDAAOTl5eHYsWOVNnlBRTk4OOD333+v8H6sra0hk8lw7949eQsTACQkJCA1NbVKz93rvPqdWxWKfk1/dfHMV1tpSnLmzBkkJydj//796Nixo7w8Ojq6WN2yfo8WvdalfZaMjIzKPT3w4cOHkZubi0OHDim0Jrzabeh1GjdujPDw8HI9b3l17NgRDRs2xJ49e9C+fXucPn0aX331VbE4rl+/jm7dupXpNS06F/99X1PNwzEWVKcFBgaW+MtKUfeRoibqgQMHQkVFBd98802x+oIgIDk5GcDLP46GhobYvHmzQr/eX3755a1+bXydssZUHkV/xKpi1eqKTjdbVqUdQ3WfQxUVlWLPs2/fPjx58qRM8bq5uaFx48b4v//7P2RmZhbbf9H6BSoqKvD19cXBgwfx6NEj+eN37tzBiRMnyhxvefTu3RvBwcEKi7xlZWVh06ZNsLGxQfPmzavkeYsMHjwYV65cUUguIiMjcfr06XKvD/Gq8+fP4+zZszh06JDCBaSyeXt74/nz5xUeE9W7d28AKLYydNGvwn369KnQ/t/k/PnzyM/PL1b+6nduVdDV1YWRkRHOnTunUL5+/fo3blv0y/x/P9N5eXklbqulpVWm77mGDRvC1dUV27dvV/j8h4eH46+//pKfq/IoKc60tDRs3bq1zPsYNGiQvFvwqyqrhVssFmPw4ME4fPgwdu7ciYKCAoVuUMDLGbCePHlS4tibFy9eICsrS6EsJCQEIpFIYUwQ1TxssaA6bcqUKcjOzsa7774LBwcH5OXl4dKlS9izZw9sbGzkc203btwY3333HWbPni2felRHRwfR0dE4cOAAJkyYgJkzZ0IikWD+/PmYMmUKunbtiqFDhyImJgbbtm1D48aNK7VFoKwxlXef+vr6CAgIgI6ODrS0tODl5VViP9wia9euRWpqKuLi4gC8/MXs8ePHAF6+vkX9eStjutmycHNzA/By2sfhw4dDTU0N/fr1q/Zz2LdvXyxYsAB+fn5o27Ytbt68iV9++aXYomqve81//PFH9OrVC05OTvDz84OFhQWePHmCwMBA6Orq4vDhwwCAb775BsePH0eHDh0wceJEFBQUYM2aNXBycqqSMTSzZs3Cr7/+il69emHq1KkwMDDA9u3bER0djd9//73KFwecOHEiNm/ejD59+mDmzJlQU1PDDz/8AFNTU/kg5LfVrVs3REVFlXl9lvL47rvvALzsqw8AO3fuxIULFwAAc+bMee22ffr0gaqqKv7++2+Flb3Ly8XFBWPGjMGmTZvk3XuCg4Oxfft2DBgwQKGVriosXboUISEhGDhwoLz1LzQ0FDt27ICBgUGx1aor2wcffIAlS5bggw8+gLu7O86dO4e7d+++cbu2bduiQYMGGDNmDKZOnQqRSISdO3eWeKHt5uaGPXv2wN/fHx4eHtDW1ka/fv1K3O/y5cvRq1cveHt7Y/z48fLpZvX09N64rkZJevToAYlEgn79+uGjjz5CZmYmNm/eDBMTkzK3Bn322WfyRRzHjRsHNzc3pKSk4NChQwgICFDorlQRw4YNw5o1azBv3jw4OzsXa2l4//33sXfvXnz88ccIDAxEu3btUFhYiIiICOzdu1e+/kaRkydPol27djVqmmgqQdVPPEWkPMeOHRPGjRsnODg4CNra2oJEIhGaNGkiTJkyRUhISChW//fffxfat28vaGlpCVpaWoKDg4MwadIkITIyUqHe6tWrBWtra0EqlQqenp7CxYsXBTc3N6Fnz57yOkXT9e3bt09h26JpDq9cuaJQXtqUoGWJqaTpWwWh+DSAgiAIf/zxh9C8eXNBVVW1TNPDFk1ZWNLtv1M1VsZ0s5MmTSrx+V+d4vPbb78VLCwsBLFYXCyO6jiHgvByutkZM2YIDRs2FDQ0NIR27doJQUFBxabQFITXv+bXrl0TBg4cKBgaGgpSqVSwtrYWhg4dKpw6dUphH2fPnhXc3NwEiUQi2NnZCQEBAfL3zJu8brrZPn36lLhNVFSUMHjwYEFfX19QV1cXPD09hSNHjijUqaz3eEliY2OFwYMHC7q6uoK2trbQt29f4d69e2/criq9abrZ0j4nZf1T279/f6Fbt24KZW+abrak1zI/P1/45ptvBFtbW0FNTU2wtLQUZs+erTBlqiCUfv5L+iyWFserLl68KEyaNElo0aKFoKenJ6ipqQlWVlbC2LFjhaioKIW6pU03W5H3U3Z2tjB+/HhBT09P0NHREYYOHSokJiaWabrZixcvCm3atBE0NDQEc3Nz+fTkeGWa3czMTGHkyJGCvr6+AED+HVvadLd///230K5dO0FDQ0PQ1dUV+vXrJ9y+ffuNx1JanIcOHRJatmwpqKurCzY2NsLSpUuFLVu2FKv3us93cnKyMHnyZMHCwkKQSCRCo0aNhDFjxghJSUmCIJR+Lko6xpL+zgjCy6lrLS0tBQDCd999V2IceXl5wtKlSwUnJydBKpUKDRo0ENzc3IRvvvlGSEtLk9dLTU0VJBKJ8OOPP5a4H6o5RIJQi0Z2EtVQMpkMxsbGGDhwYJmnVKSaheeQlK1o9feIiIhSZzcjqo9WrlyJZcuWISoqqlImnKCqwzEWROWUk5NTrHl8x44dSElJQefOnZUTFJULzyHVRB06dECPHj2wbNkyZYdCVGPk5+fjhx9+wJw5c5hU1AJssSAqpzNnzmD69OkYMmQIDA0NERoaip9++gmOjo4ICQlRWEyIaiaeQyIiosrHwdtE5WRjYwNLS0usXr0aKSkpMDAwwOjRo7FkyRJekNYSPIdERESVjy0WRERERERUYRxjQUREREREFcauUNVAJpMhLi4OOjo6dWLlYyIiIiKqHwRBQEZGBszNzd+4jhETi2oQFxcHS0tLZYdBRERERPRWYmNj0ahRo9fWYWJRDXR0dAC8PCG6urpKjoaIiIiIqGzS09NhaWkpv559HSYW1aCo+5Ouri4TCyIiIiKqdcrSnZ+Dt4mIiIiIqMKYWBARERERUYUxsSAiIiIiogpjYkFERERERBXGxIKIiIiIiCqMiQUREREREVUYp5slIqUTBAGFMgEFslf/lb38t7CU8qL7hYrlDfU00NRUG6oq/O2EiIioujCxIKJKkZiRg38epCAoKhk3n6QiN19WejJQqFguEyo/HqmqGE7mumjZSB8tG+mhZSN92BlpQSx+8zzcREREVH5MLIjorSRl5uKfB8kIikrGPw+SEfUsS/6Yqa4UOupqkKiKoSEWQVUsgopYBFWx+OW/KkX3Xykvuq9SSrlYBBWxuITt/y0XiwAR8DA5Czcep+HG4zSEPkqVx6UtVUULC124NNKXJxyNGmiUadEfIiIiej0mFkRUJilZebj8IBlB/yYT9xIz5Y+Z66ljYGsLtLEzhLedISwNNJUY6f8IgoBHKdm4/jgNN2JTcePJy2Tjnwcp8joNNNXg3EgfLv+2arRspAdTXXUlRk1ERFQ7iQRBqIJOCPRf6enp0NPTQ1paGnR1dZUdDlGZpGbn4Z8HKfjnwcsWiYj4DPljprpSeNsZwruxIbztjGBpUHt+9S+UCXjwLPNlsvE4FTcep+H203TkFcjkdUx1pXC2+DfZsNRHSws9NNCSKDFqIiIi5SjPdSwTi2rAxIJqg7TsfATHvBwjEfQgGRHx6Sj6djDW+V8i0cbOEDaGmrUmkSiLvAIZ7iZk/Nt96mWyEZmQgcL/DP6wNNB42aJh8bJlo4WFLnTU1ZQYNRERUdVjYlHDMLGgmig9Jx9Xol+2SAQ9SMatuP8lEkbaErSxe5lEeDc2hJ2RVp1KJMoiJ78Qt5+mK3ShinqWKX+NRCLAzkgLLo304fxvNyonc12oq6koN3AiIqJKxMSihmFiQTVBZm4BrsSk4J9/WyTCn6TJZ2My0JKgjZ0BvP9NJpqYaNe7RKIsMnMLEP7kf60aNx6n4VFKtvxxFbEILRvpYai7Jfq5mENbymFsRERUuzGxqGGYWJAyZOUW4OrD5/KZm24+SZN37dHXVIOXrcG/3ZuMYG+izWlY31Jqdp68C9X1x2m4eD8J2XmF0JKooL+rBUZ6WsG5kZ6ywyQiInorTCxqGCYWVJ2ux6ZibeB9BEYkouDfREJXXRVe/87Y1MbOEA5mOkwkqkhmbgEOhcXh1+BHuPkkDQDgZK6LEZ5WeMfVnOMyiIioVmFiUcMwsaDqcDUmBatP38e5u88AAB2bGqOjvRHa2BnCsaEuVJhIVLvwJ2n4NfgR/giLQ2ZuATTUVNDfxRwjvKzg0kiP3c2IiKjGY2JRwzCxoKoiCAKCopKx5vR9BD1IhkgE9G1pjsldmqCZmY6yw6N/ZeUW4MiNOOwKjsX12FQAgGNDXYz0tMQ7rSygy1YMIiKqoZhY1DBMLKiyCYKAs3efYc3p+wh5+BwqYhEGuFpgYpfGaGysrezw6DVuxaVhd3AsDl57gozcAqiridG3pTlGeFqhtZU+WzGIiKhGYWJRwzCxoMoiCAJO3k7A2sD7uPE4DWoqIgx2a4RPOjWBlWHNWO2ayiY7rwB/3niKX4MfIfRRKgCgmakORnha4t1WjaCnyVYMIiJSPiYWNQwTC6qoQpmA4+HxWHP6HiLiMyBRFWOEhyU+6tQY5voayg6PKigiPh27g2Pxe+hjZOQUQKoqRh/nhhjhZQV36wZsxSAiIqVhYlHDMLGgt1VQKMPhG3FYe/o+op5lQUNNBe+1scKHHexgoquu7PCokr3IK8TRmy9bMa4+fA4AaGKijRGeVhjYygINtCRKjpCIiOobJhY1DBMLKq+8AhkOXHuM9Wei8DA5G9pSVYz2tsb49rYw1JYqOzyqBvcSMvDrv60YaS/yIVEVo3cLM4zwtIKnrQFbMYiIqFowsahhmFhQWeXkF2JfyGMEnInCk9QX0FVXxbj2tvBra8s+9/VUTn4hjofHY1fwIwRHpwAA7Iy1MMLDCoPcGsGArRhERFSFynMdK66mmCrNunXrYGNjA3V1dXh5eSE4OPi19fft2wcHBweoq6vD2dkZR48eVXh8//796NGjBwwNDSESiRAWFlZsHzk5OZg0aRIMDQ2hra2NQYMGISEhoTIPi+q5F3mF+OlCNDotD8TXB8PxIr8Qn/dshouzumKaT1MmFfWYupoKBrSywN6PvPG3fyd80N4Wz7PysPDoHbRZdApTfr2GS1FJ4G9ERESkbLUqsdizZw/8/f0xb948hIaGwsXFBb6+vkhMTCyx/qVLlzBixAiMHz8e165dw4ABAzBgwACEh4fL62RlZaF9+/ZYunRpqc87ffp0HD58GPv27cPZs2cRFxeHgQMHVvrxUf2TmVuADWei0H7paXx75DYEAZjTxxEXvuiCiZ2bcJVmUtDERBtz+jbHP192w+oRreBm3QCHr8dh5ObL6Pr9WWw8G4WMnHxlh0lERPVUreoK5eXlBQ8PD6xduxYAIJPJYGlpiSlTpmDWrFnF6g8bNgxZWVk4cuSIvKxNmzZwdXVFQECAQt2YmBjY2tri2rVrcHV1lZenpaXB2NgYu3btwuDBgwEAERERcHR0RFBQENq0aVPseXNzc5Gbmyu/n56eDktLS3aFIrm0F/nYfikGWy5GIzU7H+Z66vi4c2MMdbeEupqKssOjWuTBs0zsuRKLfSGPkZKVB0MtCaZ1b4oRHpZQValVvx0REVENVCe7QuXl5SEkJAQ+Pj7yMrFYDB8fHwQFBZW4TVBQkEJ9APD19S21fklCQkKQn5+vsB8HBwdYWVmVup/FixdDT09PfrO0tCzz81HdlpKVh/87EYn2S07jh5N3oauuhiUDnXHmsy4Y7W3DpILKzc5YG7N7OyJodlcsHugMsViErw+Gw3flOfx9O4FdpIiIqNqoKjuAskpKSkJhYSFMTU0Vyk1NTREREVHiNvHx8SXWj4+PL/PzxsfHQyKRQF9fv8z7mT17Nvz9/eX3i1osqP5KzMjBj+ej8fM/D5GdVwg7Yy1808UJ/V3M+asyVQqpqgpGeFqhv4s5Np17gE3nHuCDHVfRxs4AX/VuDudGesoOkYiI6rhak1jUJlKpFFIppwQlID4tBwFno/Br8CPkFsjQzFQHk7s2QW/nhlARc7pQqnxaUlVM794UI72s8MNfd7E3JBb91l7Au60sMNO3GSy4oCIREVWRWpNYGBkZQUVFpdhsTAkJCTAzMytxGzMzs3LVL20feXl5SE1NVWi1KO9+qH7JyMnH8hOR2B0ci7xCGVpY6GJKV3t0dzSFmAkFVQNTXXUsHdwSY9vZYPGxCBy49gR/3nyK8e1t8UnnxtDlxABERFTJak0fDIlEAjc3N5w6dUpeJpPJcOrUKXh7e5e4jbe3t0J9ADh58mSp9Uvi5uYGNTU1hf1ERkbi0aNH5doP1R+XHySj58rz2BH0EE4Wutg61gOHJ7eHr5MZkwqqdo4NdbFjnCd2jPOEnZEWNpyJQuflZ7AjKAb5hTJlh0dERHVIrWmxAAB/f3+MGTMG7u7u8PT0xMqVK5GVlQU/Pz8AwOjRo2FhYYHFixcDAD799FN06tQJ33//Pfr06YPdu3fj6tWr2LRpk3yfKSkpePToEeLi4gC8TBqAly0VZmZm0NPTw/jx4+Hv7w8DAwPo6upiypQp8Pb2LnFGKKq/cgsK8cPJu9h07gHUVVXw3YAWGOVlxRWSqUbo2NQY7ZoY4ffQx/i/E5GY+8ctbLsYg1m9HNC9uSnfp0REVGG1KrEYNmwYnj17hrlz5yI+Ph6urq44fvy4fID2o0ePIBb/rxGmbdu22LVrF+bMmYMvv/wS9vb2OHjwIFq0aCGvc+jQIXliAgDDhw8HAMybNw/z588HAKxYsQJisRiDBg1Cbm4ufH19sX79+mo4YqotIuMzMG1PGO48TYeLpT5WDHWBnbG2ssMiUqAiFmGouyX6tmyIH89HI+BsFCbsDIGnrQG+6u0IF0t9ZYdIRES1WK1ax6K2Ks/8v1S7yGQCtlyMxrLjkSgUBEzp2gSTujSBGmd6ologMSMHK07ew54rjyATgHdczTGzRzNYGmgqOzQiIqohynMdy8SiGjCxqJuepL7AzL3XEfQgGbZGWlgxzBWu/MWXaqG7CRlYfPQOAiOfQaIqhl87G0zs3AR6GhzgTURU3zGxqGGYWNQtgiDgYNgTzD14Cxm5BXi/jTVm93aApqRW9SwkKubCvSQsPHoHd56mo4GmGj7tZo+RXtaQqLIFjoiovmJiUcMwsag7UrPz8NWBcPx58ymMdaRYNrglujQzUXZYRJWmUCbgwLUn+L8TkYhPz4GtkRa+6OkAXycO8CYiqo+YWNQwTCzqhrN3n+GzfdeRmJGLXi3MsPBdZxhoSZQdFlGVeJFXiJ8uPMCGM1HIyiuEh00DfNnbEa2sGig7NCIiqkZMLGoYJha124u8Qiw5dgfbgx5CW6qKb/o7YWBrC/56S/XCs4xcrPz7LnZfiUWhTEA/F3N87ssB3kRE9QUTixqGiUXtdeNxKqbvCUPUsyx42hrg+yEuvKCieuleQgaWHIvAqYhESFTEGNvOBpM6N4GeJgd4ExHVZUwsahgmFrVPQaEMG85EYdWpexCLRJjp2xTj29tBhStnUz136f7LAd634tKhr6mGqV3t8V4bDvAmIqqrmFjUMEwsapeYpCxM3xuGa49S4WCmgxXDXOHYkOeNqIhM9nJmtOUnIvE0LQfWhpqY1dMBPVuYsYsgEVEdw8SihmFiUTsIgoBfg2Px7ZHbyCkoxIcd7ODfvSnU1VSUHRpRjZSTX4gtF6OxPjAKmbkF8LYzxLLBLdldkIioDmFiUcMwsaj5EjNyMOv3mzgdkQgLfQ383xAXeDc2VHZYRLVCUmYuvv8rEr8Gx0JLooIv+zhipKcVWy+IiOoAJhY1DBOLmu3ErXjM3n8TKVl5GNjKAvPfcYKuOgekEpXX+XvP8MVvNxCXloP2TYywdHBLWOhrKDssIiKqACYWNQwTi5opM7cA3xy6hX0hj6GvqYaFA5zRp2VDZYdFVKtl5ORj4Z93sPtKLLSlqvi6ryOGuluy9YKIqJZiYlHDMLGoea7EpMB/bxhiU16gY1NjLB/cEqa66soOi6jOOBOZiFm/30R8eg46NTXGkkHOaKjH1gsiotqGiUUNw8Si5sgrkGHF33cRcDYKUlUxvurtiPfaWPPXVKIqkPYiH98duY19IY+ho66Kef2cMIiLSxIR1SpMLGoYJhY1w92EDEzbHYbbT9Ph0kgPPwxzRWNjbWWHRVTnnY5IwKzfbyIxIxddHUyweKAzWwiJiGoJJhY1DBML5ZLJBGy5GI1lJyJRKBMwuUsTTO7aBGoqXNCLqLqkZefjm8O3sP/aE+iqq+Kbd5wwwJWtF0RENR0TixqGiYXyxKW+wMx913EpKhm2Rlr4YagLWlk1UHZYRPXWX7fi8eWBcCRl5qJ7c1MsfLcFTHTYekFEVFOV5zpWtZpiIqp2p+4kYNqeMGTkFGCUlxW+6uMITQnf8kTK1MPJDB42Bph36BYOXY/DlZgULHinBfq1bMjWCyKiWo59QajOEQQBWy5E48MdV6EqFmHLWHcsfNeZSQVRDdFAS4LVI1phw6jWUBGJMPXXa5j4SyiSMnOVHRoREVUAr7SoTikolGHBkdvYEfQQdsZa2DrWA9aGWsoOi4hK0Mu5ITxtDTD3j1v48+ZTXI5OwXcDWqC3M9eTISKqjdhiQXVGRk4+PthxFTuCHsLbzhAHPmnHpIKohjPUlmLdqNZYO7IVBEHAxF9CMXlXKFKy8pQdGhERlRMTC6oTnqS+wJCAIJyJfIah7o2wfZwn9DTVlB0WEZVR35bm+Gt6J/g6meLIjafoseIsTtyKV3ZYRERUDkwsqNa78TgVA9ZdRER8Bj7v2QxLB7WERJVvbaLaxlhHioD33LBquCvyCwV8tDME03ZfQ2o2Wy+IiGoDXn1RrXY8PB5DNwYh/UU+1o1sjYmdm3BmGaJaTCQS4R1XC5yc3hE+jiY4GBaH7ivO4e/bCcoOjYiI3oCJBdVKgiBg07kofPJLCLSlqtg9oQ36tOSAT6K6wkRXHZtHu+P7IS7IyS/EBzuuYsbe60h7ka/s0IiIqBRMLKjWyS+U4csD4Vh0NAL2Jto4MLEdF70jqoNEIhEGuTXCyemd0KWZMX4PfYweK84iMDJR2aEREVEJmFhQrZL2Ih9+W6/g1+BH6GBvhN8+aQtLA01lh0VEVchMTx1bxnpg2eCWyM4thN/WK/jitxtIz2HrBRFRTcLEgmqN2JRsDN5wCRfuJ2GklxW2jPWArjpnfiKqD0QiEYa6W+LE9I7oYG+EPVdj0XPFOZy/90zZoRER0b9EgiAIb6rk7+9f7h3PmTMHBgYGbxVUXZOeng49PT2kpaVBV1dX2eHUSiEPn2PCjqtIyc7DV70dMb69LQdpE9VTgiBg95VYfHfkNrLyCjHSywpf9naEtpRrvhIRVbbyXMeWKbEQi8Xw9vaGRCIpUwAXLlxAZGQk7OzsyhZxHcfEomKO3IiD/97rUBGJsHK4K3ydzJQdEhHVAI+fZ+Pz327gUlQyGjXQwNqRreFqqa/ssIiI6pTyXMeWuSvUgQMHEBgYWKaburp6hQ+iNOvWrYONjQ3U1dXh5eWF4ODg19bft28fHBwcoK6uDmdnZxw9elThcUEQMHfuXDRs2BAaGhrw8fHBvXv3FOrY2NhAJBIp3JYsWVLpx0aKBEHAusD7mLzrGvQ11LD3I28mFUQk16iBJn4e74Vv33HCs4xcDN5wCT+ef4Ay/F5GRERVoEyJxdatW6Gnp1fmnW7cuBGmpqZvHVRp9uzZA39/f8ybNw+hoaFwcXGBr68vEhNLniHk0qVLGDFiBMaPH49r165hwIABGDBgAMLDw+V1li1bhtWrVyMgIACXL1+GlpYWfH19kZOTo7CvBQsW4OnTp/LblClTKv346H/yCmT47LcbWH4iEg5mOjg4qR2cG5X9PUhE9YNYLML73jY4OKkdrAw18d2fd/DhjhAuqkdEpARl6gpVU3h5ecHDwwNr164FAMhkMlhaWmLKlCmYNWtWsfrDhg1DVlYWjhw5Ii9r06YNXF1dERAQAEEQYG5ujhkzZmDmzJkAgLS0NJiammLbtm0YPnw4gJctFtOmTcO0adPKFGdubi5yc3Pl99PT02FpacmuUGWUmp2Hj3aG4HJ0Cro0M8aaka3Zd5qI3igrtwBzDobjwLUnsNDXwJqRrdCaU1ETEVVIlXSFKhIbG4vHjx/L7wcHB2PatGnYtGlT+SMth7y8PISEhMDHx0deJhaL4ePjg6CgoBK3CQoKUqgPAL6+vvL60dHRiI+PV6ijp6cHLy+vYvtcsmQJDA0N0apVKyxfvhwFBQWlxrp48WLo6enJb5aWluU+3voqJikLA9dfwuXoFIxta4PNo92ZVBBRmWhJVfHDUBcsG9QSSZm5GBoQhE3noiCT1Zrfz4iIarVyJxYjR45EYGAgACA+Ph7du3dHcHAwvvrqKyxYsKDSAyySlJSEwsLCYl2sTE1NER8fX+I28fHxr61f9O+b9jl16lTs3r0bgYGB+Oijj7Bo0SJ8/vnnpcY6e/ZspKWlyW+xsbFlP9B67EpMCt5dfxExyVmY36855vd3gqoKZ0QmorITiUQY6mGJPya3g7WhJhYdjcCHO67ieRa7RhERVbVyX7WFh4fD09MTALB37160aNECly5dwi+//IJt27ZVdnw1gr+/Pzp37oyWLVvi448/xvfff481a9YodHf6L6lUCl1dXYUbvd7Ba08wavNl5BXI8OMYd4xtZ6vskIioFnMw08Whye0xsLUFTkUkos/q8wh5mKLssIiI6rRyJxb5+fmQSqUAgL///hv9+/cHADg4OODp06eVG91/GBkZQUVFBQkJCQrlCQkJMDMreaYgMzOz19Yv+rc8+wRejvUoKChATExMeQ+DXiEIAlacvItpe8JgqC3Bvo/boqtD5Q/8J6L652XXKFcsH9wSKdl5GLrxH2w8y65RRERVpdyJhZOTEwICAnD+/HmcPHkSPXv2BADExcXB0NCw0gMsIpFI4ObmhlOnTsnLZDIZTp06BW9v7xK38fb2VqgPACdPnpTXt7W1hZmZmUKd9PR0XL58udR9AkBYWBjEYjFMTEwqckj1Xk5+IabtCcOqU/fQwkIXBye1Q3Nztu4QUeUa4m6JQ5Pbw9ZIC4uPRWD89itIYdcoIqJKV+5RsUuXLsW7776L5cuXY8yYMXBxcQEAHDp0SN5Fqqr4+/tjzJgxcHd3h6enJ1auXImsrCz4+fkBAEaPHg0LCwssXrwYAPDpp5+iU6dO+P7779GnTx/s3r0bV69elQ80F4lEmDZtGr777jvY29vD1tYWX3/9NczNzTFgwAAALweAX758GV26dIGOjg6CgoIwffp0vPfee2jQgLONvK3kzFx8tDMEVx8+R/fmplg13BWaEg7SJqKq0dRUB4cmt8PcP27ht5DH6L3qPNaMbAUPGwNlh0ZEVGeUebrZ7OxsaGpqAgAKCwuRnp6ucGEdExMDTU3NKv8Vf+3atVi+fDni4+Ph6uqK1atXw8vLCwDQuXNn2NjYKIz12LdvH+bMmYOYmBjY29tj2bJl6N27t/xxQRAwb948bNq0CampqWjfvj3Wr1+Ppk2bAgBCQ0MxceJEREREIDc3F7a2tnj//ffh7+8v7xL2Jlx5W1HUs0z4bb2CRynZ+LCDLWb1coSKWKTssIionvgt5DG+PhiOvEIZZvRoio87NoaY30FERCUqz3VsmRMLTU1NdO3aFf3798c777xTJQvg1VVMLP7nUlQSPt4Zgqy8Qix4xwmjvKyVHRIR1UP3EjIwaVco7iZkolNTY/ww1AWG2mX7sYiIqD6pknUsIiIi4Ovri71798La2hpeXl5YuHAhbt68WeGAqX7YezUWo38KhiAAW8d6MKkgIqWxN9XBH5PaY6h7I5y9+wy9V59HcDRnjSIiqoi3Wnk7LS0NR48exR9//IHjx4/DwMAA/fv3R//+/dGpUyeoqKhURay1Vn1vsZDJBPzfX5FYfyYKFvoa2OrngaamOsoOi4gIALA/9DHmHAxHTn4hZvRohk86sWsUEVGRKukKVZr8/HwEBgbi8OHDOHToEDIyMrBmzRqMGjWqIrutU+pzYpGTX4gZe6/jz5tP4Wqpj82j3WGsw+4GRFSz3E/MxKRfQhGZkIEO9kZYMcwVRuwaRURUvYnFq65du4aCggJ4eHhU5m5rtfqaWKS9yMe4bVcQ8vA5+jg3xPdDXaCuxtYsIqqZXuQV4pvDt7D7SixMdKRYPaIV2thV3TTqRES1QZUnFjk5Obhx4wYSExMhk8n+tzORCP369St/xHVcfUwskjJzMfqnYNx+mo4JHe0wq6cDuxYQUa1w8NoTfHngJnLyCzHdpykmdmnCmeuIqN4qz3VsuRcOOH78OEaPHo2kpKRij4lEIhQWFpZ3l1THxKW+wHs/XsaDpCx85tsMEzs3hkjEP8pEVDsMaGUB50Z6mPRLKL4/eReXo1OwYpgru3ESEb1BuVfenjJlCoYMGYKnT59CJpMp3JhU0INnmRgSEIQHSVlY8I4TJnVpwqSCiGqdxsbaODipHUZ6WeHC/ST0Xn0el6KK/6BGRET/U+6uULq6urh27RoaN25cVTHVOfWlK9Sdp+l4/6fLeJ6dj+WDW2Jg60bKDomIqML+CHuCL/ffxIv8QnzarSkmd2XXKCKqP6pkHYsigwcPxpkzZ942NqqjQh4+x7CNQUh/UYD1o1ozqSCiOuMdVwscntIezcx0seLvu3j/p8tIzMhRdlhERDVOuVsssrOzMWTIEBgbG8PZ2RlqamoKj0+dOrVSA6wL6nqLxYV7Sfhwx1WIRMCm993R3t5I2SEREVW6nPxCfHvkNn65/AhG2lKsGu6Kdk34fUdEdVuVzgr1008/4eOPP4a6ujoMDQ0V+s+LRCI8ePDg7aKuw+pyYnHiVjym7LoGdTUxtvp5ws26gbJDIiKqUkduxGHW7zeRlVeAKV3t8Wk3e3aNIqI6q0oTCzMzM0ydOhWzZs2CWFzunlT1Ul1NLPaHPsZnv91AA0017BjnhebmdefYiIheJyYpC5N2heJWXDra2Blg9YhWMNFRV3ZYRESVrkrHWOTl5WHYsGFMKuq5HUEx8N97HWa66tj3cVsmFURUr9gYaeH3T9pitLc1/nmQgr6rL+BqTIqywyIiUqpyZwdjxozBnj17qiIWqgUEQcC6wPuY+8ct2BlpYe/H3rA10lJ2WERE1U5dTQUL3mmBVcNdkZFTgOGb/sG2i9F4i3VniYjqhHIvkFdYWIhly5bhxIkTaNmyZbHB2z/88EOlBUc1iyAIWHIsAhvPPUDzhrrYMd4TRtpcMIqI6rd3XC3QzEwHH+8MwfzDtxEWm4pFA52hKSn3n1giolqt3N96N2/eRKtWrQAA4eHhlR4Q1UyFMgFzDobj1+BHcLNugC1jPaCnofbmDYmI6gEHM10cmtIe/nuu42BYHCLiMxDwnhts2KJLRPVIuQdvU/nV9sHb+YUy+O+9jsPX49DB3ggb33fjL3FERCWQyQRsOBuF//srEtpSVawY6gqf5qbKDouI6K1V6eDtwMDAUh9bt25deXdHNVxOfiE+2hmCw9fj0NPJDD+OcWdSQURUCrFYhEldmmC7nydUxSJ8sOMqvv8rEoUy/oZHRHVfuROLgQMHIiQkpFj5qlWrMHv27EoJimqGjJx8jNkSjNMRiRjUuhHWjmwFqaqKssMiIqrxOjY1xuEp7eFsoYc1p+/Db9sVPM/KU3ZYRERVqtyJxfLly9GrVy9ERETIy77//nvMnTsXf/75Z6UGR8rzPCsP7/14GZejUzC2rQ2WD24JVRVOMUxEVFaNGmhi38feGOZuiXN3n6Hf2gsIf5Km7LCIiKpMufu0fPDBB0hJSYGPjw8uXLiAPXv2YNGiRTh69CjatWtXFTFSNUtIz8F7P17GvcRMTO3aBNO7N1VYYZ2IiMpGXU0FSwe3RCsrfcz94xYGbriE7wa0wFB3S2WHRkRU6d6qs/znn3+O5ORkuLu7o7CwECdOnECbNm0qOzZSgtiUbIz68TIepWTjq96O+LCjnbJDIiKq9YZ7WsGxoS4m/hKKz3+7gWuPUjG/f3N2LyWiOqVMicXq1auLlVlYWEBTUxMdO3ZEcHAwgoODAQBTp06t3Aip2txLyMB7P11GYkYulgx0xnBPK2WHRERUZ7hY6uPwlPaY+us1/Br8CLefpmPDqNYw19dQdmhERJWiTNPN2tralm1nIhEePHhQ4aDqmtow3eyNx6kYsyUYGTkFWDHMFf1czJUdEhFRnVQoE/D9X5FYfyYKBloSrB3RCm2bGCk7LCKiEpXnOpbrWFSDmp5YXH6QjPHbryK/UIaA99zQxcFE2SEREdV5J27FY+be68jKK8DnPR3wUUc7jmcjohqnStexoLolMCIRo7e87Ma2Y5wnkwoiomri62SGPya3QxMTbSw5FoFPfg5FRk6+ssMiInprZUos/P39kZWVVeadzp49GykpKW8dFFWPw9fj8OGOq9CUqGDXh17wsjNUdkhERPWKnbE2Dkxsh74tG+L4rXi8s+4i7iVkKDssIqK3UqauUCoqKoiPj4exsXGZdqqrq4uwsDDY2XFGIaBmdoXaHfwIsw/chImOFD+P94K9qY6yQyIiqrcEQcCWizFYdPQOpKpiLB/sgj4tGyo7LCKicl3HlmlWKEEQ0LRp2dcyKE/rBlW/zeceYOHRO7Ay0MQvH3jB0kBT2SEREdVrIpEI49vbwtlCDxN/CcWkXaEIi7XFFz0duDgpEdUaZUostm7dWu4dm5qalnsbqlqCIGDFybtYffo+mppqY+d4L5jqqis7LCIi+penrQH+nNoeE38Jxebz0bjxOA1rR7aGsY5U2aEREb1RrZsVat26dVi+fDni4+Ph4uKCNWvWwNPTs9T6+/btw9dff42YmBjY29tj6dKl6N27t/xxQRAwb948bN68GampqWjXrh02bNgAe3t7eZ2UlBRMmTIFhw8fhlgsxqBBg7Bq1Spoa2uXKeaa0BVKJhOw4MhtbLsUg5aN9LDdzxMNtCRKiYWIiF4vr0CGRUfvYNulGJjqSrF+lBvcrBsoOywiqofq7KxQe/bsgb+/P+bNm4fQ0FC4uLjA19cXiYmJJda/dOkSRowYgfHjx+PatWsYMGAABgwYgPDwcHmdZcuWYfXq1QgICMDly5ehpaUFX19f5OTkyOuMGjUKt27dwsmTJ3HkyBGcO3cOEyZMqPLjrSwFhTJ89tsNbLsUAy9bA/zygReTCiKiGkyiKsb8/k5YMcwFaS/yMXxTEHYGxaCW/RZIRPVMrWqx8PLygoeHB9auXQsAkMlksLS0xJQpUzBr1qxi9YcNG4asrCwcOXJEXtamTRu4uroiICAAgiDA3NwcM2bMwMyZMwEAaWlpMDU1xbZt2zB8+HDcuXMHzZs3x5UrV+Du7g4AOH78OHr37o3Hjx/D3Lz4QnK5ubnIzc2V309PT4elpaVSWixyCwrx6a9hOH4rHl0dTLB+VGuoq6lUawxERPT27jxNx8c/h+BhcjYGtrLAwnedoSHh9zgRVY862WKRl5eHkJAQ+Pj4yMvEYjF8fHwQFBRU4jZBQUEK9QHA19dXXj86Ohrx8fEKdfT09ODl5SWvExQUBH19fXlSAQA+Pj4Qi8W4fPlyic+7ePFi6OnpyW+WlpZvd9CVIDYlGxfvJ6Gfizk2vu/GpIKIqJZxbKiLQ5Pbo5uDCfZfe4KBGy7hUXK2ssMiIiqm1iQWSUlJKCwsLDYo3NTUFPHx8SVuEx8f/9r6Rf++qY6JieKicaqqqjAwMCj1eWfPno20tDT5LTY2toxHWfmamOjgwKR2WDnMFWqcWYSIqFbS01DD5tHumNG9KSLi09F3zXkERpTcDZiISFnKfKU5ePBgHD9+nP07y0AqlUJXV1fhpkxNTLShIi7bVMFERFQzicUiTOlmj61jPSASiTBu+xWsOHkXMhn/LhNRzVDmxOL58+fo06cPrKysMHfuXDx48KAq4yrGyMgIKioqSEhIUChPSEiAmZlZiduYmZm9tn7Rv2+q8+rg8IKCAqSkpJT6vERERFWlczMTHJnSHs0b6mLVqXsYt/0KUrPzlB0WEVHZE4tTp07hwYMHGD9+PH7++WfY29uja9eu2LVrl8JA5aoikUjg5uaGU6dOyctkMhlOnToFb2/vErfx9vZWqA8AJ0+elNe3tbWFmZmZQp309HRcvnxZXsfb2xupqakICQmR1zl9+jRkMhm8vLwq7fiIiIjKytJAE79/0hZD3BrhTOQz9F1zAeFP0pQdFhHVc289K9Tp06exZcsWHDhwAFKpFCNGjMC4cePg5uZW2THK7dmzB2PGjMHGjRvh6emJlStXYu/evYiIiICpqSlGjx4NCwsLLF68GMDL6WY7deqEJUuWoE+fPti9ezcWLVqE0NBQtGjRAgCwdOlSLFmyBNu3b4etrS2+/vpr3LhxA7dv34a6+svF43r16oWEhAQEBAQgPz8ffn5+cHd3x65du8oUd01Yx4KIiOoeQRCw+0os5v1xCxAB377jhGEeVsoOi4jqkPJcx1Z4utmMjAzs2rULX375JdLS0lBQUFCR3b3R2rVr5Qvkubq6YvXq1fKWg86dO8PGxgbbtm2T19+3bx/mzJkjXyBv2bJlJS6Qt2nTJqSmpqJ9+/ZYv349mjZtKq+TkpKCyZMnKyyQt3r16lq1QB4REdVdNx6n4pOfQ/Ek9QWGuVvim3ecOAsgEVWKakssoqOjsW3bNmzbtg1PnjyBj48Pjh8//ra7q7OYWBARUVV7npWHT/eE4dzdZ2hhoYsNo9xgaaCp7LCIqJar0nUscnJy8PPPP6Nr166wt7fHjh07MH78eERHRzOpICIiUpIGWhJsHeuBT7vZ41ZcOvquuYDASE5JS0TVR7WsFYODg7Flyxbs2bMHOTk5ePfdd3H8+HF069YNIhGnMiUiIlI2FbEI07s3haulPqbtCcO4bVcwpas9Pu1mz2nHiajKlbkrlFgshouLC8aPH49Ro0ahQYMGVR1bncGuUEREVN1iU7LxyS8hCH+Sjk5NjbFymCsaaEmUHRYR1TJV0hXq6tWruHbtGiZPnlxiUvH06VNMnjy5/NESERFRpbM00MRvH7fFMHdLnL37ckraG49TlR0WEdVhZU4sWrdujVu3bmHt2rXyGZQAICkpCdOnT4ednR0CAwOrKk4iIiIqJ3U1FSwd3BJLBznjWWYuBm8Iwq/Bj1DBCSGJiEpU5sTi0KFDaNWqFaZOnYqPP/4Y7u7uCAwMhKOjI+7cuYMDBw7g1q1bVRkrERERvYVhHlb4/eO2MNGVYvb+m/j8txvIyS9UdlhEVMeUeYyFp6cn2rVrh2+//RY//vgj/P394eTkhC1btsDDw6Oq46zVOMaCiIhqgtTsPEzbE4Yzkc/QvKEuAt5zg5Uhp6QlotJVyToWenp6CAkJQZMmTVBYWAipVIrjx4/Dx8enUoKuy5hYEBFRTSGTCVh9+h5WnboHHakqVgxzRTdHU2WHRUQ1VJUM3s7IyJDvTEVFBRoaGrCzs6tYpERERFStxGIRpvk0xdaxHhCLRRi//Sq+/ysShTKOuyCiiinzOhYAcOLECejp6QEAZDIZTp06hfDwcIU6/fv3r7zoiIiIqEp0bmaCw5PbY+IvoVhz+j7CYlOxangrGHBKWiJ6S+Vax+KNOxOJUFjIwWCvYlcoIiKqqXLyC/HN4Vv4NTgWFvoaWD+qNVws9ZUdFhHVEFXSFUomk73xxqSCiIiodlFXU8HigS2xbHBLPMvMxZCAIPxy+SGnpCWicitzYkFERER111B3S+z/pC1M9aT46kA4Zu67gRd5/MGQiMqOiQUREREBAFpY6OHI5A7o0swYv4c+xsANl/AwOUvZYRFRLcHEgoiIiOT0NNXw0xgP+Hdvioj4dPRdcwF/305QdlhEVAswsSAiIiIFYrEIU7vZY5ufJ1TEInyw4yqWn4jglLRE9FpMLIiIiKhEnZoa48iU9mjZSA/rAqMwZkswkjNzlR0WEdVQZZ5u9lV5eXlITEyETCZTKLeysqqUwOoSTjdLRES1WW5BIb45fBu7Lj+CuZ461o1qjVZWDZQdFhFVgyqZbrbIvXv30KFDB2hoaMDa2hq2trawtbWFjY0NbG1t3zpoIiIiqpmkqipY9K4zlg9uieSsPAzdGISd/3BKWiJSVK6VtwFg7NixUFVVxZEjR9CwYUOIRKKqiIuIiIhqmCHulmhurotPfg7F1wfDEfrwOb4b0AJa0nJfThBRHVTurlBaWloICQmBg4NDVcVU57ArFBER1SVp2fnw3xuGUxGJsDPSwuoRrdDCQk/ZYRFRFajSrlDNmzdHUlLSWwdHREREtZuepho2j3bHnD6OiH2ejYHrL2HLhWh2jSKq58qdWCxduhSff/45zpw5g+TkZKSnpyvciIiIqO4Ti0X4oIMd9n/SDub66lhw5DbGb7/KWaOI6rFyd4USi1/mIq+OrRAEASKRCIWFhZUXXR3BrlBERFSXZeYWYO7BcOy/9gQmOlKsHO6Kto2NlB0WEVWC8lzHlnu0VWBg4FsHRkRERHWPtlQVPwxzRXt7I8w5GI5RP17GpM5NMM3HHqoqXDKLqL5463UsqOzYYkFERPVFdFIWpvwaivAn6XCzboBVw13RqIGmssMiordUnuvYcicW586de+3jHTt2LM/u6gUmFkREVJ/kFhRi+fFI/HghGrrqqlg6qCV6OTdUdlhE9BaqNLEoGmOhsJP/jLfgGIvimFgQEVF9FBiRiJn7riM5Kw8jPK0wt29zaEhUlB0WEZVDlU43+/z5c4VbYmIijh8/Dg8PD/z1119vHTQRERHVLV0cTHDs0w5o18QQvwY/wjvrLiAyPkPZYRFRFam0MRZnz56Fv78/QkJCKmN3dQpbLIiIqD6TyQQEnIvC93/dhapYhK/7NscoL6tiM0wSUc1TpS0WpTE1NUVkZGRl7a6YlJQUjBo1Crq6utDX18f48eORmZn52m1ycnIwadIkGBoaQltbG4MGDUJCQoJCnUePHqFPnz7Q1NSEiYkJPvvsMxQUFMgfP3PmDEQiUbFbfHx8lRwnERFRXSMWizCxcxPs+9gbxjpSzDkYjk9+DkVadr6yQyOiSlTu6WZv3LihcF8QBDx9+hRLliyBq6trZcVVzKhRo/D06VOcPHkS+fn58PPzw4QJE7Br165St5k+fTr+/PNP7Nu3D3p6epg8eTIGDhyIixcvAng5HqRPnz4wMzPDpUuX8PTpU4wePRpqampYtGiRwr4iIyMVsjQTE5OqOVAiIqI6qrVVA/w5tQO+PHATf954ihuPU7FqRCt42BgoOzQiqgRvNXhbJBLh1c3atGmDLVu2wMHBoVIDBIA7d+6gefPmuHLlCtzd3QEAx48fR+/evfH48WOYm5sX2yYtLQ3GxsbYtWsXBg8eDACIiIiAo6MjgoKC0KZNGxw7dgx9+/ZFXFwcTE1NAQABAQH44osv8OzZM0gkEpw5cwZdunTB8+fPoa+vX6Z4c3NzkZv7v5VH09PTYWlpya5QREREePmj5J4rsZh/+BbyCmSY5tMUk7o0gYqYXaOIapoq7QoVHR2NBw8eIDo6GtHR0Xj48CGys7Nx6dKlKkkqACAoKAj6+vrypAIAfHx8IBaLcfny5RK3CQkJQX5+Pnx8fORlDg4OsLKyQlBQkHy/zs7O8qQCAHx9fZGeno5bt24p7M/V1RUNGzZE9+7d5S0epVm8eDH09PTkN0tLy3IfMxERUV0lEokw3NMKR6a0R1NTHfxw8i5G/fgP4tNylB0aEVVAuRMLa2trhZulpSXU1dWrIja5+Pj4Yl2PVFVVYWBgUOpYh/j4eEgkkmKtDKampvJt4uPjFZKKoseLHgOAhg0bIiAgAL///jt+//13WFpaonPnzggNDS013tmzZyMtLU1+i42NLdfxEhER1QdNTHRwcFI7jPa2xj8PUtBz1TmcvJ3w5g2JqEYqc2IRFBSEI0eOKJTt2LEDtra2MDExwYQJExS6/5TFrFmzShwY/d9bREREufZZ2Zo1a4aPPvoIbm5uaNu2LbZs2YK2bdtixYoVpW4jlUqhq6urcCMiIqLi1NVUsOCdFtj4vhsEAfhwx1XMP3QLOflcF4uotinz4O0FCxagc+fO6Nu3LwDg5s2bGD9+PMaOHQtHR0csX74c5ubmmD9/fpmffMaMGRg7duxr69jZ2cHMzAyJiYkK5QUFBUhJSYGZmVmJ25mZmSEvLw+pqakKrRYJCQnybczMzBAcHKywXdGsUaXtFwA8PT1x4cKF18ZNREREZefrZAZnCz1M2xOGbZdicDk6BWtHtkJjY21lh0ZEZVTmFouwsDB069ZNfn/37t3w8vLC5s2b4e/vj9WrV2Pv3r3lenJjY2M4ODi89iaRSODt7Y3U1FSFNTJOnz4NmUwGLy+vEvft5uYGNTU1nDp1Sl4WGRmJR48ewdvbGwDg7e2NmzdvKiQtJ0+ehK6uLpo3b/7a16Jhw4blOlYiIiJ6PXN9Dfz6YRtM87FHZHw6+q6+gL1XY4tNGENENVOZE4vnz58rjEc4e/YsevXqJb/v4eFRZWMJHB0d0bNnT3z44YcIDg7GxYsXMXnyZAwfPlw+I9STJ0/g4OAgb4HQ09PD+PHj4e/vj8DAQISEhMDPzw/e3t5o06YNAKBHjx5o3rw53n//fVy/fh0nTpzAnDlzMGnSJEilUgDAypUr8ccff+D+/fsIDw/HtGnTcPr0aUyaNKlKjpWIiKg+UxGLMM2nKXZP8Ia+pho+/+0GPt0dhvQcrnlBVNOVObEwNTVFdHQ0ACAvLw+hoaHyC3QAyMjIgJqaWuVH+K9ffvkFDg4O6NatG3r37o327dtj06ZN8sfz8/MRGRmJ7OxsedmKFSvQt29fDBo0CB07doSZmRn2798vf1xFRQVHjhyBiooKvL298d5772H06NFYsGCBvE5eXh5mzJgBZ2dndOrUCdevX8fff/+t0HpDRERElcvT1gDHPu2AHs1Nceh6HPqsPo+w2FRlh0VEr1HmdSw++eQTXL9+HUuXLsXBgwexfft2xMXFQSKRAHh54b9y5UpcuXKlSgOujcoz/y8RERH9jyAI+Pmfh/j2zzuQyQTM9G2GCR3sIOaaF0TVokrWsfj222+hqqqKTp06YfPmzdi8ebM8qQCALVu2oEePHm8fNREREdErRCIR3ve2wR+T2sHGSAtLjkVgzNZgJGZwzQuimqbcK2+npaVBW1sbKioqCuUpKSnQ1tZWSDboJbZYEBERVVx2XgG+PXIbvwbHwkhbgoXvOsPXqfRZHImo4qp05W09Pb1iSQUAGBgYMKkgIiKiKqMpUcXigS2xdmQr5BXI8NHOEEz8JYStF0Q1RLkTCyIiIiJl6tvSHH/7d0JvZzMcvRkPn+/PYs+VR5yWlkjJmFgQERFRrWOiq471o9yw8X03aEhU8MXvNzFy82XEJGUpOzSieouJBREREdVavk5mOOnfCSO9rBD0IBm+K88h4GwUCgplyg6NqN5hYkFERES1mq66Gha964w9E9rAQl8DS45F4J11FxH+JE3ZoRHVK0wsiIiIqE7wsjPE0U87YHKXJoiMz8A76y5i8dE7eJFXqOzQiOoFJhZERERUZ6irqWCmbzMcntIeLcx1sfHcA/RcdQ6X7icpOzSiOo+JBREREdU5jg11sX9iO8zp44jE9FyM/PEyPv/tOtKy85UdGlGdxcSCiIiI6iQVsQgfdLDDX9M7ooO9EfZefYxuP5zFnzeecmpaoirAxIKIiIjqNEsDTewY54kfhrqgQCbDpF2h+HBHCJ6mvVB2aER1ChMLIiIiqvNEIhEGtm6Ev/074R1Xc/x9JwHdfziHnf88hEzG1guiysDEgoiIiOoNI20pVg1vha1jPaCrroqvD4Zj2KYg3E/MVHZoRLUeEwsiIiKqd7o4mOAv/04Y29YGVx8+R+9V57Hm1D3kFXBhPaK3xcSCiIiI6iVtqSrm93fCbx+3hbWhJr4/eRf9115AWGyqskMjqpWYWBAREVG95mbdAEemtsd0n6aIepaJd9dfxILDt5GVW6Ds0IhqFSYWREREVO9JVVXwqY89jk7tgNZWDbDlYjR6rDiHM5GJyg6NqNZgYkFERET0L3tTHez7yBsL3nFCanYexm69gul7wpCSlafs0IhqPCYWRERERP8hFosw2tsGJ/07oauDCQ5cewKfH87ij7AnXFiP6DWYWBARERGVwFxfAz+NcceaEa0gAvDp7jD4bbuCx8+zlR0aUY3ExIKIiIioFCKRCP1czPG3fycMdmuEM5HP0GPFOWw8G4UXeYXKDo+oRhEJbNOrcunp6dDT00NaWhp0dXWVHQ4RERG9pfP3nuHLAzcRm/ICxjpSTOrcGCO8rCBVVVF2aERVojzXsUwsqgETCyIiorojJ78Qu4MfYd2ZKDzLyEVDPXVM7toEQ9wsIVFlZxCqW5hY1DBMLIiIiOqeF3mF+Pmfh9hwNgopWXlo1EADU7vZY2ArC6iqMMGguoGJRQ3DxIKIiKjuyswtwPZLMdh07gHSXuTD1kgLn3azRz8Xc6iIRcoOj6hCmFjUMEwsiIiI6r70nHz8dD4aWy5EIyO3APYm2pjevSl6OplBzASDaikmFjUMEwsiIqL6IzU7D5vOPcC2SzHIziuEY0Nd+HdvCh9HE4hETDCodmFiUcMwsSAiIqp/kjJzsfFsFHYEPURugQwujfQwvXtTdGpqzASDag0mFjUMEwsiIqL6KzE9B+vPRGHX5UfIK5TB3boB/Hs0RdvGRsoOjeiNynMdW2umLEhJScGoUaOgq6sLfX19jB8/HpmZma/dJicnB5MmTYKhoSG0tbUxaNAgJCQkKNSZOnUq3NzcIJVK4erqWuJ+bty4gQ4dOkBdXR2WlpZYtmxZZR0WERER1XEmuuqY398JZz7rjBGeVgiLTcXIzZcxYtM/uBqTouzwiCpNrUksRo0ahVu3buHkyZM4cuQIzp07hwkTJrx2m+nTp+Pw4cPYt28fzp49i7i4OAwcOLBYvXHjxmHYsGEl7iM9PR09evSAtbU1QkJCsHz5csyfPx+bNm2qlOMiIiKi+sFcXwOLBzrj9IzOGOzWCJejkzE4IAijtwQjLDZV2eERVVit6Ap1584dNG/eHFeuXIG7uzsA4Pjx4+jduzceP34Mc3PzYtukpaXB2NgYu3btwuDBgwEAERERcHR0RFBQENq0aaNQf/78+Th48CDCwsIUyjds2ICvvvoK8fHxkEgkAIBZs2bh4MGDiIiIKDHe3Nxc5Obmyu+np6fD0tKSXaGIiIhI7sGzTKw6dQ+HrsdBEAAfRxNM794UTuZ6yg6NSK7OdYUKCgqCvr6+PKkAAB8fH4jFYly+fLnEbUJCQpCfnw8fHx95mYODA6ysrBAUFFSu5+7YsaM8qQAAX19fREZG4vnz5yVus3jxYujp6clvlpaWZX4+IiIiqh/sjLWxangrnJjWEb2dzfD3nUT0WX0Bn/wcgrsJGcoOj6jcakViER8fDxMTE4UyVVVVGBgYID4+vtRtJBIJ9PX1FcpNTU1L3aa0/ZiamhbbR9FjJZk9ezbS0tLkt9jY2DI/HxEREdUvTU11sH6UG/6c2h4+jiY4Fh4P35XnMPXXa3jw7PXjSYlqEqUmFrNmzYJIJHrtrbTuRjWZVCqFrq6uwo2IiIjodZzM9fDjGA8cnNQOHeyNceh6HHx+OIuZ+64jNiVb2eERvZGqMp98xowZGDt27Gvr2NnZwczMDImJiQrlBQUFSElJgZmZWYnbmZmZIS8vD6mpqQqtFgkJCaVuU9p+Xp1Jquh+efZDREREVBaulvrYMc4TV2NS8P1fd/FbyGMcvPYEQ9wtMaVrE5jrayg7RKISKTWxMDY2hrGx8RvreXt7IzU1FSEhIXBzcwMAnD59GjKZDF5eXiVu4+bmBjU1NZw6dQqDBg0CAERGRuLRo0fw9vYuc4ze3t746quvkJ+fDzU1NQDAyZMn0axZMzRo0KDM+yEiIiIqD3cbA/w6oQ0uRSXhh7/u4tfgR/g95DGGejTCYDdLuDTS40J7VKPUilmhAKBXr15ISEhAQEAA8vPz4efnB3d3d+zatQsA8OTJE3Tr1g07duyAp6cnAOCTTz7B0aNHsW3bNujq6mLKlCkAgEuXLsn3e//+fWRmZiIgIACBgYHYs2cPAKB58+aQSCRIS0tDs2bN0KNHD3zxxRcIDw/HuHHjsGLFijdOd1uEC+QRERFRRQiCgHP3kvDDX5G4/jgNAGBpoIF+Lc3R39UczUx1mGRQlaiTK2+npKRg8uTJOHz4MMRiMQYNGoTVq1dDW1sbABATEwNbW1sEBgaic+fOAF4ukDdjxgz8+uuvyM3Nha+vL9avX6/Qhalz5844e/ZsseeLjo6GjY0NgJcL5E2aNAlXrlyBkZERpkyZgi+++KLMsTOxICIiosogCAKuP07D4etxOHIjDgnpL6e3tzfRRj8Xc/RzMYetkZaSo6TKlpiRA6mKCvQ01ar9uetkYlGbMbEgIiKiyiaTCbgSk4JD1+NwLDweKVl5AIAWFrro72KOPi3NYcHxGLXWk9QXOBEej+Ph8bjyMAVf9nLEhx3tqj0OJhY1DBMLIiIiqkr5hTJcikrG4etxOBEej4zcAgCAu3UD9HMxR2/nhjDWkSo5SnqTmKQsHAuPx/Hwp/IubxpqKujczBgjvazQwf7NY5MrGxOLGoaJBREREVWXnPxCnL37DIevx+HvOwnIyZdBLALaNjZCP5eG6OnUUCldaqg4QRBwNyETx8Kf4nh4PCLiXy6MqCNVRTdHE/RsYYZOTU2gIVFRWoxMLGoYJhZERESkDFm5BTgVkYjD1+NwNvIZ8gplUFMRoaO9Mfq5mKN7c1NoSZU6SWi9IwgCbj5J+7dlIh7RSVkAgAaaaujR3Aw9W5ihbRNDSFWVl0z8FxOLGoaJBRERESlb2ot8nLgVj8PX43ApKhmFMgHqamJ0czBFP5eG6NzMBOpqNeNitq6RyQSEPHqOYzfjceJWPJ6kvgAAmOhI4etkhl4tzOBpawBVFaWuXV0iJhY1DBMLIiIiqkmSMnNxLPxlkhEcnQIA0JaqokdzU/RzNUf7JkZQq4EXubVJfqEMlx+k4Fj4U/x1OwHPMl7O4NWogQZ6Opmhl7MZWlk2gFhcs6cJZmJRwzCxICIioprqadoL/HnjKQ5fj5MPGNbXVEOvFg3Rz6UhvGwNoVLDL35rityCQly4l4Tj4fE4eScBqdn5AAA7Yy30amGGXi0awslct1atOcLEooZhYkFERES1wcPkLBz5N8koGkhsoiNFn5YN0c/FHK0s9WvVRXF1yM4rwJnIZzgeHo/TEYnI/HdGruYNddGzxctuTvamOkqO8u0xsahhmFgQERFRbXM3IQOHr8fh8PU4xCRnAwAs9DXgYqkHa0Mt2BpqwdpQE7ZGWjDWkdarhCM9Jx+n7yTiWPhTnL37DDn5MgCAq6U+erV4OQDb2rBuLFTIxKKGYWJBREREtZUgCAh/ko7DN+Jw4lY8HqVk49WrR02Jystkw0izziYdKVl5OHk7HsfC43HxfhLyCwWIRYCHjQF6tTCDbwszNNSrewsSMrGoYZhYEBERUV2Rk1+Ix8+zEZ2UjYfJWYhOysLD5GxEJ2UhLu1FqUmHjaEmbIz+/ddQCzZGWjBRYtIhCAKy8gqRnJmL5Kw8JGfmKf4/KxcpWXlIysxDSlYunmXkQiYAqmIR2jYxQq8WZuje3BRG2nV74cHyXMdy4mIiIiIiKjN1NRU0MdFBE5Pi4wZyCwoRm5KNmKRsxCRnvbz9+//jt+KLJR0aairylg2FFo+3TDpe5BUiOStXnhi8/Dfv3wTh5f2UrJcJRFJWHvIKZK/dn7ZUFQZaEpjra8DdxgDdHEzQzcGUCwyWgokFEREREVUKqeqbko4XiEnKkicdRS0dJ27FQ1ZK0lHUumFjqAmJqlihFSE5Mw9JWf/7f3Ze4WvjU1cTw1BLCmMdKZqZ6cBQWwpDLQkMtSUw1JLCQFsCIy0pDLUlMNCScF2PcmJiQURERERV7mXSoY0mJtrFHitKOv7btaoo+fjrdvGko4hERQyDfxMDWyPtl0mClkQhYTDQksBI+2WyoCnhpW9V4qtLREREREr1pqTj8fOXLR0FMgFG2hIY/NuqoCNVrRMDw+sKJhZEREREVGNJVVXQ2FgbjY2LJx1Us3CtdiIiIiIiqjAmFkREREREVGFMLIiIiIiIqMKYWBARERERUYUxsSAiIiIiogpjYkFERERERBXGxIKIiIiIiCqM61hUA0F4uVxkenq6kiMhIiIiIiq7ouvXouvZ12FiUQ0yMjIAAJaWlkqOhIiIiIio/DIyMqCnp/faOiKhLOkHVYhMJkNcXBx0dHSUsux8eno6LC0tERsbC11d3Wp/fqp+POf1E897/cNzXv/wnNdPyjzvgiAgIyMD5ubmEItfP4qCLRbVQCwWo1GjRsoOA7q6uvwSqmd4zusnnvf6h+e8/uE5r5+Udd7f1FJRhIO3iYiIiIiowphYEBERERFRhTGxqAekUinmzZsHqVSq7FComvCc10887/UPz3n9w3NeP9WW887B20REREREVGFssSAiIiIiogpjYkFERERERBXGxIKIiIiIiCqMiQUREREREVUYE4s6bt26dbCxsYG6ujq8vLwQHBys7JCoCi1evBgeHh7Q0dGBiYkJBgwYgMjISGWHRdVoyZIlEIlEmDZtmrJDoSr05MkTvPfeezA0NISGhgacnZ1x9epVZYdFVaiwsBBff/01bG1toaGhgcaNG+Pbb78F5+CpO86dO4d+/frB3NwcIpEIBw8eVHhcEATMnTsXDRs2hIaGBnx8fHDv3j3lBFsKJhZ12J49e+Dv74958+YhNDQULi4u8PX1RWJiorJDoypy9uxZTJo0Cf/88w9OnjyJ/Px89OjRA1lZWcoOjarBlStXsHHjRrRs2VLZoVAVev78Odq1awc1NTUcO3YMt2/fxvfff48GDRooOzSqQkuXLsWGDRuwdu1a3LlzB0uXLsWyZcuwZs0aZYdGlSQrKwsuLi5Yt25diY8vW7YMq1evRkBAAC5fvgwtLS34+voiJyenmiMtHaebrcO8vLzg4eGBtWvXAgBkMhksLS0xZcoUzJo1S8nRUXV49uwZTExMcPbsWXTs2FHZ4VAVyszMROvWrbF+/Xp89913cHV1xcqVK5UdFlWBWbNm4eLFizh//ryyQ6Fq1LdvX5iamuKnn36Slw0aNAgaGhr4+eeflRgZVQWRSIQDBw5gwIABAF62Vpibm2PGjBmYOXMmACAtLQ2mpqbYtm0bhg8frsRo/4ctFnVUXl4eQkJC4OPjIy8Ti8Xw8fFBUFCQEiOj6pSWlgYAMDAwUHIkVNUmTZqEPn36KHzmqW46dOgQ3N3dMWTIEJiYmKBVq1bYvHmzssOiKta2bVucOnUKd+/eBQBcv34dFy5cQK9evZQcGVWH6OhoxMfHK3zH6+npwcvLq0Zd16kqOwCqGklJSSgsLISpqalCuampKSIiIpQUFVUnmUyGadOmoV27dmjRooWyw6EqtHv3boSGhuLKlSvKDoWqwYMHD7Bhwwb4+/vjyy+/xJUrVzB16lRIJBKMGTNG2eFRFZk1axbS09Ph4OAAFRUVFBYWYuHChRg1apSyQ6NqEB8fDwAlXtcVPVYTMLEgqqMmTZqE8PBwXLhwQdmhUBWKjY3Fp59+ipMnT0JdXV3Z4VA1kMlkcHd3x6JFiwAArVq1Qnh4OAICAphY1GF79+7FL7/8gl27dsHJyQlhYWGYNm0azM3Ned6pxmBXqDrKyMgIKioqSEhIUChPSEiAmZmZkqKi6jJ58mQcOXIEgYGBaNSokbLDoSoUEhKCxMREtG7dGqqqqlBVVcXZs2exevVqqKqqorCwUNkhUiVr2LAhmjdvrlDm6OiIR48eKSkiqg6fffYZZs2aheHDh8PZ2Rnvv/8+pk+fjsWLFys7NKoGRdduNf26jolFHSWRSODm5oZTp07Jy2QyGU6dOgVvb28lRkZVSRAETJ48GQcOHMDp06dha2ur7JCoinXr1g03b95EWFiY/Obu7o5Ro0YhLCwMKioqyg6RKlm7du2KTSN99+5dWFtbKykiqg7Z2dkQixUv21RUVCCTyZQUEVUnW1tbmJmZKVzXpaen4/LlyzXquo5doeowf39/jBkzBu7u7vD09MTKlSuRlZUFPz8/ZYdGVWTSpEnYtWsX/vjjD+jo6Mj7Xerp6UFDQ0PJ0VFV0NHRKTaGRktLC4aGhhxbU0dNnz4dbdu2xaJFizB06FAEBwdj06ZN2LRpk7JDoyrUr18/LFy4EFZWVnBycsK1a9fwww8/YNy4ccoOjSpJZmYm7t+/L78fHR2NsLAwGBgYwMrKCtOmTcN3330He3t72Nra4uuvv4a5ubl85qgaQaA6bc2aNYKVlZUgkUgET09P4Z9//lF2SFSFAJR427p1q7JDo2rUqVMn4dNPP1V2GFSFDh8+LLRo0UKQSqWCg4ODsGnTJmWHRFUsPT1d+PTTTwUrKytBXV1dsLOzE7766ishNzdX2aFRJQkMDCzxb/iYMWMEQRAEmUwmfP3114KpqakglUqFbt26CZGRkcoN+hVcx4KIiIiIiCqMYyyIiIiIiKjCmFgQEREREVGFMbEgIiIiIqIKY2JBREREREQVxsSCiIiIiIgqjIkFERERERFVGBMLIiIiIiKqMCYWRERERERUYUwsiIio2owdOxYDBgyo9ufdtm0bRCIRRCIRpk2bVuH9de7cWb6/sLCwCu+PiKguUFV2AEREVDeIRKLXPj5v3jysWrUKgiBUU0SKdHV1ERkZCS0trQrva//+/YiKioKnp2clREZEVDcwsSAiokrx9OlT+f/37NmDuXPnIjIyUl6mra0NbW1tZYQG4GXiY2ZmVqF95OXlQSKRwMDAAOnp6ZUUGRFR3cCuUEREVCnMzMzkNz09PfmFfNFNW1u7WFeozp07Y8qUKZg2bRoaNGgAU1NTbN68GVlZWfDz84OOjg6aNGmCY8eOKTxXeHg4evXqBW1tbZiamuL9999HUlJSueJdsGABWrRoUazc1dUVX3/9NYD/dd1auHAhzM3N0axZs/K/MERE9QQTCyIiUqrt27fDyMgIwcHBmDJlCj755BMMGTIEbdu2RWhoKHr06IH3338f2dnZAIDU1FR07doVrVq1wtWrV3H8+HEkJCRg6NCh5XrecePG4c6dO7hy5Yq87Nq1a7hx4wb8/PzkZadOnUJkZCROnjyJI0eOVM5BExHVQUwsiIhIqVxcXDBnzhzY29tj9uzZUFdXh5GRET788EPY29tj7ty5SE5Oxo0bNwAAa9euRatWrbBo0SI4ODigVatW2LJlCwIDA3H37t0yP2+jRo3g6+uLrVu3ysu2bt2KTp06wc7OTl6mpaWFH3/8EU5OTnBycqq8AyciqmOYWBARkVK1bNlS/n8VFRUYGhrC2dlZXmZqagoASExMBABcv34dgYGB8jEb2tracHBwAABERUWV67k//PBD/Prrr8jJyUFeXh527dqFcePGKdRxdnaGRCJ5q2MjIqpPOHibiIiUSk1NTeG+SCRSKCuabUomkwEAMjMz0a9fPyxdurTYvho2bFiu5+7Xrx+kUikOHDgAiUSC/Px8DB48WKFOZcwiRURUHzCxICKiWqV169b4/fffYWNjA1XViv0ZU1VVxZgxY7B161ZIJBIMHz4cGhoalRQpEVH9wq5QRERUq0yaNAkpKSkYMWIErly5gqioKJw4cQJ+fn4oLCws9/4++OADnD59GsePHy/WDYqIiMqOiQUREdUq5ubmuHjxIgoLC9GjRw84Oztj2rRp0NfXh1hc/j9r9vb2aNu2LRwcHODl5VUFERMR1Q8iQVlLoBIREVWTbdu2Ydq0aUhNTS32mCAIsLe3x8SJE+Hv71/mfcbExMDW1hbXrl2Dq6tr5QVLRFRLscWCiIjqhbS0NGhra+OLL76Qlz179gxr165FfHy8wtoVb9KrVy9OPUtE9Aq2WBARUZ2XkZGBhIQEAIC+vj6MjIwAvJxxysjICKtWrcLIkSPLvL8nT57gxYsXAAArKytOR0tEBCYWRERERERUCdgVioiIiIiIKoyJBRERERERVRgTCyIiIiIiqjAmFkREREREVGFMLIiIiIiIqMKYWBARERERUYUxsSAiIiIiogpjYkFERERERBX2//5uKneGTlj8AAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import rebound\n", + "\n", + "# ---------------------------------------------\n", + "# 1) Build system, configure integrator, enable archive snapshots\n", + "# ---------------------------------------------\n", + "sim = rebound.Simulation()\n", + "sim.units = ('AU','yr','Msun')\n", + "\n", + "# Star + two planets (inner sets the timestep scale)\n", + "sim.add(m=1.0) # star\n", + "sim.add(m=3.0e-6, a=1.0, e=0.0167) # Earth-like (inner)\n", + "sim.add(m=9.54e-4, a=5.2, e=0.048) # Jupiter-like (outer)\n", + "sim.move_to_com()\n", + "\n", + "# WHFast, timestep ~5% of inner orbital period (per docs)\n", + "sim.integrator = \"whfast\"\n", + "sim.dt = sim.particles[1].P * 0.05\n", + "\n", + "# Save snapshots every 0.5 yr; overwrite if file exists\n", + "archive_path = \"archive.bin\"\n", + "sim.save_to_file(archive_path, interval=0.5, delete_file=True)\n", + "\n", + "# First integration segment (e.g., 12 years)\n", + "T1 = 10.0\n", + "sim.integrate(T1) # snapshots written automatically during the run\n", + "\n", + "# ---------------------------------------------\n", + "# 2) Read back the first segment from the archive and plot an observable\n", + "# (Sun's radial velocity along x here)\n", + "# ---------------------------------------------\n", + "sa = rebound.Simulationarchive(archive_path) # NOTE: 'Simulationarchive' (lowercase 'a')\n", + "\n", + "# Extract times and Sun's RV from snapshots\n", + "times1 = [s.t for s in sa] # all snapshot times (0 .. T1)\n", + "rv1 = [s.particles[0].vx * 4.74047 for s in sa] # AU/yr -> km/s\n", + "\n", + "plt.figure(figsize=(8,3.2))\n", + "plt.plot(times1, rv1, lw=1.2)\n", + "plt.xlabel(\"Time [yr]\")\n", + "plt.ylabel(\"Sun RV [km/s]\")\n", + "plt.title(\"Segment 1: Integrated from 0 → T1 (from Simulationarchive)\")\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "# ---------------------------------------------\n", + "# 3) Load the last snapshot, continue integrating further, and plot\n", + "# ---------------------------------------------\n", + "sim2 = sa[-1] # restore simulation at the last archived time (~T1)\n", + "# (The archive stores integrator and dt; we keep WHFast and the same dt. Being explicit is fine:)\n", + "sim2.integrator = \"whfast\"\n", + "sim2.dt = sim.dt\n", + "\n", + "# Continue to T2 > T1\n", + "T2 = 24.0\n", + "# Choose output times for the continuation plot\n", + "times2 = np.linspace(sim2.t, T2, 600)\n", + "rv2 = []\n", + "for t in times2:\n", + " # For WHFast, exact_finish_time=0 keeps fixed-step behavior (good practice when sampling)\n", + " sim2.integrate(t, exact_finish_time=0)\n", + " rv2.append(sim2.particles[0].vx * 4.74047) # AU/yr -> km/s\n", + "\n", + "plt.figure(figsize=(8,3.2))\n", + "plt.plot(times2, rv2, lw=1.2, color=\"C1\")\n", + "plt.xlabel(\"Time [yr]\")\n", + "plt.ylabel(\"Sun RV [km/s]\")\n", + "plt.title(\"Segment 2: Continued from archive (T1 → T2)\")\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "# ---------------------------------------------\n", + "# 4) Optional combined view to emphasize advancement across the archive boundary\n", + "# ---------------------------------------------\n", + "plt.figure(figsize=(9,3.4))\n", + "plt.plot(times1, rv1, lw=1.2, label=\"Segment 1 (0 → T1)\")\n", + "plt.plot(times2, rv2, lw=1.2, label=\"Segment 2 (T1 → T2)\", color=\"C1\")\n", + "plt.axvline(times1[-1], ls='--', color='k', lw=0.8, label=\"Archive boundary (≈T1)\")\n", + "plt.xlabel(\"Time [yr]\")\n", + "plt.ylabel(\"Sun RV [km/s]\")\n", + "plt.title(\"RV integration advanced via Simulationarchive\")\n", + "plt.legend()\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "b9997302-f688-4c2e-be61-51ab7d0a68d9", + "metadata": {}, + "source": [ + "## Further Reading\n", + "\n", + "- **REBOUND documentation:** \n", + " [https://rebound.readthedocs.io](https://rebound.readthedocs.io) \n", + " Full API reference, tutorials, and example notebooks.\n", + "\n", + "- **Chaos indicators (MEGNO, LCN):** \n", + " [https://rebound.readthedocs.io/en/latest/chaos/](https://rebound.readthedocs.io/en/latest/chaos/) \n", + " Theory and implementation details for detecting chaotic dynamics.\n", + "\n", + "- **SimulationArchive:** \n", + " [https://rebound.readthedocs.io/en/latest/ipython_examples/Simulationarchive/](https://rebound.readthedocs.io/en/latest/ipython_examples/Simulationarchive/) \n", + " Efficient long-term storage and reloading of simulations.\n", + "\n", + "- **REBOUND Papers:** \n", + "[https://rebound.readthedocs.io/en/latest/#papers](https://rebound.readthedocs.io/en/latest/#papers)\n" + ] + }, + { + "cell_type": "markdown", + "id": "921ca7d1-3392-4c52-95f2-7a01f1a84f81", + "metadata": {}, + "source": [ + "## References & Credits\n", + "- **REBOUND:** Rein & Liu (2012), Rein & Spiegel (2015)\n", + "- **Integrators:** `ias15` (high-accuracy), `whfast` (symplectic, Wisdom–Holman) \n", + "- **Author:** Ekrem M. Esmer (ExoCore N-Body Dynamics module)\n", + "\n", + "If you use or adapt this notebook, please credit the ExoCore project and the author.\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.23" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 01dbf41761c84bf9f5ef781ca0d4d2961d293dff Mon Sep 17 00:00:00 2001 From: ekremesmer Date: Fri, 30 Jan 2026 15:36:53 -0600 Subject: [PATCH 2/2] Add rebound package to environment.yml --- environment.yml | 1 + 1 file changed, 1 insertion(+) diff --git a/environment.yml b/environment.yml index 60fffa0..d885340 100644 --- a/environment.yml +++ b/environment.yml @@ -11,3 +11,4 @@ dependencies: - pip: - lightkurve - jupyterquiz + - rebound