{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Notebook on Argon (Nosé-Hoover)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook we study how to set up a real simulation of an argon molecule. We study how the temperature and energy change. We analyze and understand how to use a Nosé-Hoover thermostat. We compute the velocity autocorrelation function and the diffusion coefficient.\n", "\n", "**Theory:** section 3.8.3, 4.8.3, 13.3.2 of Tuckerman" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.integrate import cumulative_trapezoid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Set up of the systems and useful functions" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "# Constants for Argon (Lennard-Jones parameters in reduced units)\n", "sigma = 3.4 # Å\n", "epsilon = 0.0103 # eV\n", "mass = 39.948 # amu\n", "L = 10.0 # Box size in Å\n", "dt = 0.1 # Time step in fs\n", "n_steps = 50000 # Number of time steps\n", "Np = 10 # Number of particles\n", "T_target = 300.0 # Target temperature in K\n", "kB = 3.1668 * 1e-6 # Eh/K - Boltzmann constant\n", "#kB = 8.617333e-5 # eV/K\n", "stride = 5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If Q is too large:\n", "\n", "\t•\tThe thermostat reacts too slowly. \n", "\t•\tTemperature oscillations are large and take a long time to stabilize.\n", "\t•\tThe system may behave as if it’s almost in the NVE ensemble (constant energy) because the thermostat is too weak.\n", "\n", "If Q is too small:\n", "\n", "\t•\tThe thermostat reacts too aggressively.\n", "\t•\tTemperature fluctuates wildly or becomes unstable.\n", "\t•\tThe system might behave unphysically.\n", "\n", "Good rule of thumb: $Q = \\tau_T k_B T_\\text{target} \\approx 10$, where $\\tau_T$ is a characteristic time scale for temperature fluctuations." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "Q = 10.0 # Thermostat mass\n", "thermostat = True # Enable/Disable Nosé-Hoover" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Converted quantities:\n", "mass = 72820.79019242541 a.u., L = 18.897261246257703 a.u., dt = 4.134137333518211 a.u.\n" ] } ], "source": [ "# convert mass from amu to au\n", "amu_to_kg = 1.66054 * 1e-27 \n", "m_e = 9.1093837 * 1e-31 #kg\n", "conv_mass = amu_to_kg / m_e\n", "mass *= conv_mass\n", "\n", "# convert side of the box from Å to au\n", "a0 = 0.529177210903 #Angstrom \n", "L /= a0\n", "\n", "# convert time from fs to au\n", "t_au = 2.4188843265857 * 1e-2 #fs = 1 a.u. of time \n", "dt /= t_au\n", "\n", "print('Converted quantities:')\n", "print(f'mass = {mass} a.u., L = {L} a.u., dt = {dt} a.u.')" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "### PLOTTING FUNCTIONS ###\n", "\n", "def plot_temperature(steps_plot, temperatures):\n", " time = np.array(steps_plot) * dt\n", " # print(vel.shape)\n", " # temperatures = [compute_temperature(vel[i,:]) for i in range(vel.shape[0])]\n", " plt.figure(figsize=(10, 6))\n", " plt.plot(time / 1000 * t_au, temperatures, label=\"Temperature\", linestyle='-', linewidth=0.8)\n", " plt.axhline(y=T_target, color='r', linestyle='--', label=\"Target Temperature\")\n", " # plt.ylim([T_target - 50, T_target + 50])\n", " plt.xlabel(\"Time [ps]\", fontsize=12)\n", " plt.ylabel(\"Temperature [K]\", fontsize=12)\n", " plt.legend(fontsize=10, loc='upper left')\n", " plt.show()\n", "\n", "def plot_xi(steps_plot, xi):\n", " time = np.array(steps_plot) * dt\n", " plt.figure(figsize=(10, 6))\n", " plt.plot(time / 1000 * t_au, xi, label=\"Temperature\", linestyle='-', linewidth=0.8)\n", " plt.axhline(y=T_target, color='r', linestyle='--', label=\"Target Temperature\")\n", " # plt.ylim([T_target - 50, T_target + 50])\n", " plt.xlabel(\"Time [ps]\", fontsize=12)\n", " plt.ylabel(\"xi \", fontsize=12)\n", " plt.legend(fontsize=10, loc='upper left')\n", " plt.show()\n", "\n", "def plot_energy(steps_plot, energies):\n", " time = np.array(steps_plot) * dt\n", " plt.figure(figsize=(10, 6))\n", " plt.plot(time / 1000 * t_au, energies, linestyle='-', linewidth=0.8, color='r')\n", " # plt.ylim([T_target - 50, T_target + 50])\n", " plt.xlabel(\"Time [ps]\", fontsize=12)\n", " plt.ylabel(\"Total Energy [a.u.]\", fontsize=12)\n", " # plt.legend(fontsize=10, loc='upper left')\n", " plt.show()\n", "\n", "##########################################################################################\n", "### INITIALIZATION FUNCTIONS ###\n", "\n", "# Places each atom in a simple cubic lattice within the box.\n", "def assign_positions():\n", " n = int(np.ceil(Np ** (1/3))) # Number of atoms per dimension\n", " x, y, z = np.meshgrid(np.arange(n), np.arange(n), np.arange(n), indexing='ij') # 3D grid\n", " positions = np.vstack((x.ravel(), y.ravel(), z.ravel())).T * sigma # Reshape and scale\n", "\n", " return positions[:Np] # Select only Np atoms\n", "\n", "# Assign velocities extracting them from Maxwell-Boltzmann distribution\n", "def assign_velocities():\n", " velocities = []\n", " std = np.sqrt(kB * T_target / mass) \n", " \n", " for p in range(Np):\n", " velocities.append([np.random.normal(loc = 0.0, scale = std) for i in range(3)])\n", " \n", " return np.array(velocities)\n", "\n", "##########################################################################################\n", "### COMPUTE QUANTITIES AND APPLY PBC ###\n", "\n", "# Apply periodic boundary conditions.\n", "def apply_pbc(positions, L):\n", " return positions % L\n", "\n", "# Compute Lennard-Jones force for a pair of atoms.\n", "def compute_lj_force(rij):\n", " r2 = np.dot(rij, rij)\n", " if r2 == 0:\n", " return np.zeros(3)\n", " r6 = (sigma**2 / r2)**3\n", " r12 = r6**2\n", " force_mag = 24 * epsilon * (2 * r12 - r6) / r2\n", " return force_mag * rij / np.sqrt(r2)\n", "\n", "def compute_forces(positions, L, rc=None, force_shift=True):\n", " \"\"\"\n", " Lennard-Jones forces with PBC and cutoff.\n", " If force_shift=True, use force-shifted LJ so F(rc)=0 (better energy conservation).\n", "\n", " positions : (N,3)\n", " L : box length (scalar, cubic box)\n", " rc : cutoff (default L/2)\n", " force_shift : bool\n", " \"\"\"\n", " pos = np.asarray(positions, dtype=float)\n", " N = pos.shape[0]\n", " L = float(L)\n", " if rc is None:\n", " rc = 0.5 * L\n", " rc = float(rc)\n", " if rc > 0.5 * L + 1e-12:\n", " raise ValueError(\"rc must be <= L/2 for minimum image consistency.\")\n", " rc2 = rc * rc\n", "\n", " # Precompute dU/dr at rc for the force-shifted correction\n", " # U'(r) = 24*epsilon*(sigma^6/r^7 - 2*sigma^12/r^13)\n", " if force_shift:\n", " dUdr_rc = 24.0 * epsilon * ((sigma**6)/(rc**7) - 2.0*(sigma**12)/(rc**13))\n", "\n", " F = np.zeros_like(pos)\n", " for i in range(N-1):\n", " for j in range(i+1, N):\n", " rij = pos[i] - pos[j]\n", " # minimum image\n", " rij -= np.rint(rij / L) * L\n", " r2 = float(np.dot(rij, rij))\n", " if r2 == 0.0 or r2 >= rc2:\n", " continue\n", "\n", " # Standard LJ force (vector): F = 24 ε [2(σ/r)^12 − (σ/r)^6] * rij / r^2\n", " sr2 = (sigma * sigma) / r2 # (σ/r)^2\n", " sr6 = sr2**3 # (σ/r)^6\n", " sr12 = sr6 * sr6 # (σ/r)^12\n", " pref = 24.0 * epsilon * (2.0*sr12 - sr6) / r2\n", " Fij = pref * rij\n", "\n", " if force_shift:\n", " # Add +U'(rc) * r_hat term so that F(rc)=0\n", " r = np.sqrt(r2)\n", " r_hat = rij / r\n", " Fij = Fij + dUdr_rc * r_hat\n", "\n", " F[i] += Fij\n", " F[j] -= Fij\n", "\n", " return F\n", "\n", "# Compute instantaneous temperature.\n", "def compute_temperature(velocities):\n", " kinetic_energy = 0.5 * mass * np.sum(velocities**2)\n", " return (2 * kinetic_energy) / (3 * Np * kB)\n", "\n", "# Compute Lennard-Jones potential energy for a pair of atoms.\n", "def compute_lj_potential(rij):\n", "\n", " r2 = np.dot(rij, rij)\n", " if r2 == 0:\n", " return 0.0\n", " r6 = (sigma**2 / r2)**3\n", " r12 = r6**2\n", " return 4 * epsilon * (r12 - r6)\n", "\n", "def compute_energy(positions, velocities, rc=None, force_shift=True):\n", " \"\"\"\n", " Total energy per frame: KE + PE (LJ 12-6) with PBC and cutoff.\n", " Adds a potential shift so that U(rc)=0 (energy-shifted), or both U(rc)=0 and U'(rc)=0 (force-shifted).\n", " \n", " Parameters\n", " ----------\n", " positions : (N,3)\n", " velocities: (N,3)\n", " rc : float or None\n", " Cutoff radius. Default: L/2 (requires global L).\n", " force_shift : bool\n", " If False -> energy-shifted LJ: U_s(r) = U(r) - U(rc)\n", " If True -> force-shifted LJ: U_fs(r) = U(r) - U(rc) - (r-rc) U'(rc)\n", " Force-shifted has continuous forces at rc and helps energy conservation in MD.\n", " \n", " Notes\n", " -----\n", " Uses globals: sigma, epsilon, L, mass (scalar or per-particle).\n", " Energies are in the same units as epsilon and mass*vel^2.\n", " \"\"\"\n", " pos = np.asarray(positions, dtype=float)\n", " vel = np.asarray(velocities, dtype=float)\n", " N = pos.shape[0]\n", "\n", " # Kinetic energy\n", " if np.isscalar(mass):\n", " KE = 0.5 * mass * float(np.sum(vel**2))\n", " else:\n", " KE = 0.5 * float(np.sum(np.asarray(mass)[:, None] * vel**2))\n", "\n", " # Cutoff\n", " local_L = float(L)\n", " if rc is None:\n", " rc = 0.5 * local_L\n", " rc = float(rc)\n", " rc2 = rc * rc\n", " if rc > 0.5 * local_L + 1e-12:\n", " raise ValueError(\"rc must be <= L/2 to respect minimum image convention.\")\n", "\n", " # Precompute shift terms at rc\n", " s_over_rc = sigma / rc\n", " x_rc = s_over_rc**6 # (σ/rc)^6\n", " U_rc = 4.0 * epsilon * (x_rc*x_rc - x_rc)\n", " # dU/dr at rc (for force-shifted potential)\n", " dUdr_rc = 24.0 * epsilon * ( (sigma**6)/(rc**7) - 2.0*(sigma**12)/(rc**13) )\n", "\n", " # Potential energy with cutoff + shift\n", " PE = 0.0\n", " for i in range(N - 1):\n", " for j in range(i + 1, N):\n", " rij = pos[i] - pos[j]\n", " # minimum image\n", " rij -= np.rint(rij / local_L) * local_L\n", " r2 = float(np.dot(rij, rij))\n", " if r2 == 0.0 or r2 >= rc2:\n", " continue\n", " inv_r2 = (sigma * sigma) / r2 # (σ^2 / r^2)\n", " r6 = inv_r2**3\n", " r12 = r6 * r6\n", " U = 4.0 * epsilon * (r12 - r6)\n", " if force_shift:\n", " r = np.sqrt(r2)\n", " U_shifted = U - U_rc - (r - rc) * dUdr_rc\n", " else:\n", " U_shifted = U - U_rc\n", " PE += U_shifted\n", "\n", " return KE + PE\n", "\n", "##########################################################################################\n", "### ALGORITHMS ###\n", "\n", "# Applying the Nosé-Hoover thermostat\n", "def nose_hoover_thermostat(positions, velocities, forces, xi, eta):\n", " # Update positions\n", " positions += velocities * dt + 0.5 * (forces / mass - xi * velocities) * dt**2\n", " positions = apply_pbc(positions, L)\n", " \n", " # Update velocity (half step)\n", " velocities += 0.5 * (forces / mass - xi * velocities) * dt\n", " \n", " # Update forces\n", " forces = compute_forces(positions, L)\n", " \n", " # Compute kinetic energy\n", " kinetic_energy = 0.5 * mass * np.sum(velocities**2)\n", " \n", " # Update thermostat variables\n", " xi += 0.5 * (dt / Q) * (kinetic_energy - 0.5 * (3 * Np + 1) * kB * T_target)\n", " kinetic_energy = 0.5 * mass * np.sum(velocities**2) # Recompute after update\n", " xi += 0.5 * (dt / Q) * (kinetic_energy - 0.5 * (3 * Np + 1) * kB * T_target)\n", " eta += xi * dt # Accumulate thermostat variable\n", " \n", " # Update velocity (another half step)\n", " velocities = (velocities + 0.5 * (forces / mass) * dt) / (1 + 0.5 * xi * dt)\n", " \n", " return positions, velocities, forces, xi, eta\n", "\n", "# Simulation function that applies velocity Verlet (+ Nosé-Hoover if thermostat == True)\n", "def velocity_verlet(positions, velocities, L, dt, thermostat, stride):\n", " # Store steps of the plot\n", " steps_plot = []\n", " \n", " # Store positions and velocities for analysis\n", " positions_list = []\n", " velocities_list = []\n", "\n", " temperature_list = []\n", " energy_list = []\n", "\n", " if thermostat:\n", " xi = 0\n", " eta = 0\n", "\n", " forces = compute_forces(positions, L)\n", " for step in range(n_steps):\n", " if thermostat:\n", " positions, velocities, forces, xi, eta = nose_hoover_thermostat(positions, velocities, forces, xi, eta)\n", " else:\n", " # Half step velocity update\n", " velocities += 0.5 * (forces / mass) * dt\n", "\n", " # Update positions\n", " positions += velocities * dt \n", " positions = apply_pbc(positions, L)\n", " \n", " # Compute new forces\n", " new_forces = compute_forces(positions, L)\n", " \n", " # Update velocities\n", " velocities += 0.5 * (new_forces / mass) * dt\n", " forces = new_forces\n", " \n", " if step % stride == 0:\n", " steps_plot.append(step)\n", "\n", " # Compute and store temperature\n", " temperature = compute_temperature(velocities)\n", " temperature_list.append(temperature)\n", "\n", " # Compute and store energy\n", " energy = compute_energy(positions, velocities)\n", " energy_list.append(energy)\n", "\n", " # Store positions and velocities for analysis\n", " positions_list.append(positions.copy())\n", " velocities_list.append(velocities.copy())\n", " \n", " # Print or save positions for analysis\n", " if step % 100 == 0:\n", " print(f\"Step {step}: Energy = {energy:.2f}, Temperature = {temperature:.2f} K\")\n", " \n", " return steps_plot, positions_list, velocities_list, temperature_list, energy_list" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### The potential" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are using the Lennard-Jones potential to simulate the repulsion between atoms to avoid overlap between particles\n", "\n", "$V_{\\text{LJ}}(r) = 4\\epsilon \\left[ \\left( \\frac{\\sigma}{r} \\right)^{12} - \\left( \\frac{\\sigma}{r} \\right)^{6} \\right]$" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "r = np.linspace(1, 10, 1000)\n", "potential = [compute_lj_potential(r_ij) for r_ij in r]\n", "\n", "plt.figure(figsize=(6, 4))\n", "plt.plot(r, potential, linestyle='-', color='b')\n", "plt.axhline(0, linestyle='--', color='grey')\n", "plt.xlabel(\"r [a.u.]\", fontsize=12)\n", "plt.ylabel(\"Potential [a.u.]\", fontsize=12)\n", "plt.ylim([-1, 5])\n", "# plt.legend(fontsize=10, loc='upper left')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Equilibration" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before starting the simulation, we need to initialize the positions and velocities of the particles" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "# Initialize positions\n", "positions = assign_positions()\n", "\n", "# Initializa velocities with MB distribution\n", "velocities = assign_velocities()\n", "\n", "# Thermostat variables\n", "xi = 0.0\n", "eta = 0.0" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Step 0: Energy = -0.03, Temperature = 315.64 K\n", "Step 100: Energy = -0.03, Temperature = 315.64 K\n", "Step 200: Energy = -0.03, Temperature = 315.64 K\n", "Step 300: Energy = -0.03, Temperature = 315.64 K\n", "Step 400: Energy = -0.03, Temperature = 315.64 K\n", "Step 500: Energy = -0.03, Temperature = 315.64 K\n", "Step 600: Energy = -0.03, Temperature = 315.64 K\n", "Step 700: Energy = -0.03, Temperature = 315.64 K\n", "Step 800: Energy = -0.03, Temperature = 315.64 K\n", "Step 900: Energy = -0.03, Temperature = 315.64 K\n", "Step 1000: Energy = -0.13, Temperature = 310.52 K\n", "Step 1100: Energy = -0.13, Temperature = 310.52 K\n", "Step 1200: Energy = -0.13, Temperature = 310.52 K\n", "Step 1300: Energy = -0.13, Temperature = 310.52 K\n", "Step 1400: Energy = -0.13, Temperature = 310.52 K\n", "Step 1500: Energy = -0.13, Temperature = 310.52 K\n", "Step 1600: Energy = -0.13, Temperature = 310.52 K\n", "Step 1700: Energy = -0.13, Temperature = 310.52 K\n", "Step 1800: Energy = -0.13, Temperature = 310.52 K\n", "Step 1900: Energy = -0.13, Temperature = 310.52 K\n", "Step 2000: Energy = -0.16, Temperature = 309.93 K\n", "Step 2100: Energy = -0.16, Temperature = 309.93 K\n", "Step 2200: Energy = -0.16, Temperature = 309.93 K\n", "Step 2300: Energy = -0.16, Temperature = 309.93 K\n", "Step 2400: Energy = -0.16, Temperature = 309.93 K\n", "Step 2500: Energy = -0.16, Temperature = 309.93 K\n", "Step 2600: Energy = -0.16, Temperature = 309.93 K\n", "Step 2700: Energy = -0.16, Temperature = 309.93 K\n", "Step 2800: Energy = -0.16, Temperature = 309.93 K\n", "Step 2900: Energy = -0.16, Temperature = 309.93 K\n", "Step 3000: Energy = -0.16, Temperature = 309.84 K\n", "Step 3100: Energy = -0.16, Temperature = 309.84 K\n", "Step 3200: Energy = -0.16, Temperature = 309.84 K\n", "Step 3300: Energy = -0.16, Temperature = 309.84 K\n", "Step 3400: Energy = -0.16, Temperature = 309.84 K\n", "Step 3500: Energy = -0.16, Temperature = 309.84 K\n", "Step 3600: Energy = -0.16, Temperature = 309.84 K\n", "Step 3700: Energy = -0.16, Temperature = 309.84 K\n", "Step 3800: Energy = -0.16, Temperature = 309.84 K\n", "Step 3900: Energy = -0.16, Temperature = 309.84 K\n", "Step 4000: Energy = -0.18, Temperature = 309.42 K\n", "Step 4100: Energy = -0.18, Temperature = 309.42 K\n", "Step 4200: Energy = -0.18, Temperature = 309.42 K\n", "Step 4300: Energy = -0.18, Temperature = 309.42 K\n", "Step 4400: Energy = -0.18, Temperature = 309.42 K\n", "Step 4500: Energy = -0.18, Temperature = 309.42 K\n", "Step 4600: Energy = -0.18, Temperature = 309.42 K\n", "Step 4700: Energy = -0.18, Temperature = 309.42 K\n", "Step 4800: Energy = -0.18, Temperature = 309.42 K\n", "Step 4900: Energy = -0.18, Temperature = 309.42 K\n", "Step 5000: Energy = -0.18, Temperature = 309.92 K\n", "Step 5100: Energy = -0.18, Temperature = 309.92 K\n", "Step 5200: Energy = -0.18, Temperature = 309.92 K\n", "Step 5300: Energy = -0.18, Temperature = 309.92 K\n", "Step 5400: Energy = -0.18, Temperature = 309.92 K\n", "Step 5500: Energy = -0.18, Temperature = 309.92 K\n", "Step 5600: Energy = -0.18, Temperature = 309.92 K\n", "Step 5700: Energy = -0.18, Temperature = 309.92 K\n", "Step 5800: Energy = -0.18, Temperature = 309.92 K\n", "Step 5900: Energy = -0.18, Temperature = 309.92 K\n", "Step 6000: Energy = -0.19, Temperature = 310.10 K\n", "Step 6100: Energy = -0.19, Temperature = 310.10 K\n", "Step 6200: Energy = -0.19, Temperature = 310.10 K\n", "Step 6300: Energy = -0.19, Temperature = 310.10 K\n", "Step 6400: Energy = -0.19, Temperature = 310.10 K\n", "Step 6500: Energy = -0.19, Temperature = 310.10 K\n", "Step 6600: Energy = -0.19, Temperature = 310.10 K\n", "Step 6700: Energy = -0.19, Temperature = 310.10 K\n", "Step 6800: Energy = -0.19, Temperature = 310.10 K\n", "Step 6900: Energy = -0.19, Temperature = 310.10 K\n", "Step 7000: Energy = -0.21, Temperature = 310.03 K\n", "Step 7100: Energy = -0.21, Temperature = 310.03 K\n", "Step 7200: Energy = -0.21, Temperature = 310.03 K\n", "Step 7300: Energy = -0.21, Temperature = 310.03 K\n", "Step 7400: Energy = -0.21, Temperature = 310.03 K\n", "Step 7500: Energy = -0.21, Temperature = 310.03 K\n", "Step 7600: Energy = -0.21, Temperature = 310.03 K\n", "Step 7700: Energy = -0.21, Temperature = 310.03 K\n", "Step 7800: Energy = -0.21, Temperature = 310.03 K\n", "Step 7900: Energy = -0.21, Temperature = 310.03 K\n", "Step 8000: Energy = -0.21, Temperature = 309.91 K\n", "Step 8100: Energy = -0.21, Temperature = 309.91 K\n", "Step 8200: Energy = -0.21, Temperature = 309.91 K\n", "Step 8300: Energy = -0.21, Temperature = 309.91 K\n", "Step 8400: Energy = -0.21, Temperature = 309.91 K\n", "Step 8500: Energy = -0.21, Temperature = 309.91 K\n", "Step 8600: Energy = -0.21, Temperature = 309.91 K\n", "Step 8700: Energy = -0.21, Temperature = 309.91 K\n", "Step 8800: Energy = -0.21, Temperature = 309.91 K\n", "Step 8900: Energy = -0.21, Temperature = 309.91 K\n", "Step 9000: Energy = -0.22, Temperature = 309.77 K\n", "Step 9100: Energy = -0.22, Temperature = 309.77 K\n", "Step 9200: Energy = -0.22, Temperature = 309.77 K\n", "Step 9300: Energy = -0.22, Temperature = 309.77 K\n", "Step 9400: Energy = -0.22, Temperature = 309.77 K\n", "Step 9500: Energy = -0.22, Temperature = 309.77 K\n", "Step 9600: Energy = -0.22, Temperature = 309.77 K\n", "Step 9700: Energy = -0.22, Temperature = 309.77 K\n", "Step 9800: Energy = -0.22, Temperature = 309.77 K\n", "Step 9900: Energy = -0.22, Temperature = 309.77 K\n", "Step 10000: Energy = -0.23, Temperature = 309.97 K\n", "Step 10100: Energy = -0.23, Temperature = 309.97 K\n", "Step 10200: Energy = -0.23, Temperature = 309.97 K\n", "Step 10300: Energy = -0.23, Temperature = 309.97 K\n", "Step 10400: Energy = -0.23, Temperature = 309.97 K\n", "Step 10500: Energy = -0.23, Temperature = 309.97 K\n", "Step 10600: Energy = -0.23, Temperature = 309.97 K\n", "Step 10700: Energy = -0.23, Temperature = 309.97 K\n", "Step 10800: Energy = -0.23, Temperature = 309.97 K\n", "Step 10900: Energy = -0.23, Temperature = 309.97 K\n", "Step 11000: Energy = -0.23, Temperature = 310.17 K\n", "Step 11100: Energy = -0.23, Temperature = 310.17 K\n", "Step 11200: Energy = -0.23, Temperature = 310.17 K\n", "Step 11300: Energy = -0.23, Temperature = 310.17 K\n", "Step 11400: Energy = -0.23, Temperature = 310.17 K\n", "Step 11500: Energy = -0.23, Temperature = 310.17 K\n", "Step 11600: Energy = -0.23, Temperature = 310.17 K\n", "Step 11700: Energy = -0.23, Temperature = 310.17 K\n", "Step 11800: Energy = -0.23, Temperature = 310.17 K\n", "Step 11900: Energy = -0.23, Temperature = 310.17 K\n", "Step 12000: Energy = -0.23, Temperature = 310.15 K\n", "Step 12100: Energy = -0.23, Temperature = 310.15 K\n", "Step 12200: Energy = -0.23, Temperature = 310.15 K\n", "Step 12300: Energy = -0.23, Temperature = 310.15 K\n", "Step 12400: Energy = -0.23, Temperature = 310.15 K\n", "Step 12500: Energy = -0.23, Temperature = 310.15 K\n", "Step 12600: Energy = -0.23, Temperature = 310.15 K\n", "Step 12700: Energy = -0.23, Temperature = 310.15 K\n", "Step 12800: Energy = -0.23, Temperature = 310.15 K\n", "Step 12900: Energy = -0.23, Temperature = 310.15 K\n", "Step 13000: Energy = -0.22, Temperature = 310.22 K\n", "Step 13100: Energy = -0.22, Temperature = 310.22 K\n", "Step 13200: Energy = -0.22, Temperature = 310.22 K\n", "Step 13300: Energy = -0.22, Temperature = 310.22 K\n", "Step 13400: Energy = -0.22, Temperature = 310.22 K\n", "Step 13500: Energy = -0.22, Temperature = 310.22 K\n", "Step 13600: Energy = -0.22, Temperature = 310.22 K\n", "Step 13700: Energy = -0.22, Temperature = 310.22 K\n", "Step 13800: Energy = -0.22, Temperature = 310.22 K\n", "Step 13900: Energy = -0.22, Temperature = 310.22 K\n", "Step 14000: Energy = -0.24, Temperature = 309.79 K\n", "Step 14100: Energy = -0.24, Temperature = 309.79 K\n", "Step 14200: Energy = -0.24, Temperature = 309.79 K\n", "Step 14300: Energy = -0.24, Temperature = 309.79 K\n", "Step 14400: Energy = -0.24, Temperature = 309.79 K\n", "Step 14500: Energy = -0.24, Temperature = 309.79 K\n", "Step 14600: Energy = -0.24, Temperature = 309.79 K\n", "Step 14700: Energy = -0.24, Temperature = 309.79 K\n", "Step 14800: Energy = -0.24, Temperature = 309.79 K\n", "Step 14900: Energy = -0.24, Temperature = 309.79 K\n", "Step 15000: Energy = -0.23, Temperature = 310.22 K\n", "Step 15100: Energy = -0.23, Temperature = 310.22 K\n", "Step 15200: Energy = -0.23, Temperature = 310.22 K\n", "Step 15300: Energy = -0.23, Temperature = 310.22 K\n", "Step 15400: Energy = -0.23, Temperature = 310.22 K\n", "Step 15500: Energy = -0.23, Temperature = 310.22 K\n", "Step 15600: Energy = -0.23, Temperature = 310.22 K\n", "Step 15700: Energy = -0.23, Temperature = 310.22 K\n", "Step 15800: Energy = -0.23, Temperature = 310.22 K\n", "Step 15900: Energy = -0.23, Temperature = 310.22 K\n", "Step 16000: Energy = -0.23, Temperature = 310.07 K\n", "Step 16100: Energy = -0.23, Temperature = 310.07 K\n", "Step 16200: Energy = -0.23, Temperature = 310.07 K\n", "Step 16300: Energy = -0.23, Temperature = 310.07 K\n", "Step 16400: Energy = -0.23, Temperature = 310.07 K\n", "Step 16500: Energy = -0.23, Temperature = 310.07 K\n", "Step 16600: Energy = -0.23, Temperature = 310.07 K\n", "Step 16700: Energy = -0.23, Temperature = 310.07 K\n", "Step 16800: Energy = -0.23, Temperature = 310.07 K\n", "Step 16900: Energy = -0.23, Temperature = 310.07 K\n", "Step 17000: Energy = -0.24, Temperature = 310.13 K\n", "Step 17100: Energy = -0.24, Temperature = 310.13 K\n", "Step 17200: Energy = -0.24, Temperature = 310.13 K\n", "Step 17300: Energy = -0.24, Temperature = 310.13 K\n", "Step 17400: Energy = -0.24, Temperature = 310.13 K\n", "Step 17500: Energy = -0.24, Temperature = 310.13 K\n", "Step 17600: Energy = -0.24, Temperature = 310.13 K\n", "Step 17700: Energy = -0.24, Temperature = 310.13 K\n", "Step 17800: Energy = -0.24, Temperature = 310.13 K\n", "Step 17900: Energy = -0.24, Temperature = 310.13 K\n", "Step 18000: Energy = -0.23, Temperature = 309.66 K\n", "Step 18100: Energy = -0.23, Temperature = 309.66 K\n", "Step 18200: Energy = -0.23, Temperature = 309.66 K\n", "Step 18300: Energy = -0.23, Temperature = 309.66 K\n", "Step 18400: Energy = -0.23, Temperature = 309.66 K\n", "Step 18500: Energy = -0.23, Temperature = 309.66 K\n", "Step 18600: Energy = -0.23, Temperature = 309.66 K\n", "Step 18700: Energy = -0.23, Temperature = 309.66 K\n", "Step 18800: Energy = -0.23, Temperature = 309.66 K\n", "Step 18900: Energy = -0.23, Temperature = 309.66 K\n", "Step 19000: Energy = -0.24, Temperature = 309.79 K\n", "Step 19100: Energy = -0.24, Temperature = 309.79 K\n", "Step 19200: Energy = -0.24, Temperature = 309.79 K\n", "Step 19300: Energy = -0.24, Temperature = 309.79 K\n", "Step 19400: Energy = -0.24, Temperature = 309.79 K\n", "Step 19500: Energy = -0.24, Temperature = 309.79 K\n", "Step 19600: Energy = -0.24, Temperature = 309.79 K\n", "Step 19700: Energy = -0.24, Temperature = 309.79 K\n", "Step 19800: Energy = -0.24, Temperature = 309.79 K\n", "Step 19900: Energy = -0.24, Temperature = 309.79 K\n", "Step 20000: Energy = -0.24, Temperature = 309.81 K\n", "Step 20100: Energy = -0.24, Temperature = 309.81 K\n", "Step 20200: Energy = -0.24, Temperature = 309.81 K\n", "Step 20300: Energy = -0.24, Temperature = 309.81 K\n", "Step 20400: Energy = -0.24, Temperature = 309.81 K\n", "Step 20500: Energy = -0.24, Temperature = 309.81 K\n", "Step 20600: Energy = -0.24, Temperature = 309.81 K\n", "Step 20700: Energy = -0.24, Temperature = 309.81 K\n", "Step 20800: Energy = -0.24, Temperature = 309.81 K\n", "Step 20900: Energy = -0.24, Temperature = 309.81 K\n", "Step 21000: Energy = -0.24, Temperature = 309.78 K\n", "Step 21100: Energy = -0.24, Temperature = 309.78 K\n", "Step 21200: Energy = -0.24, Temperature = 309.78 K\n", "Step 21300: Energy = -0.24, Temperature = 309.78 K\n", "Step 21400: Energy = -0.24, Temperature = 309.78 K\n", "Step 21500: Energy = -0.24, Temperature = 309.78 K\n", "Step 21600: Energy = -0.24, Temperature = 309.78 K\n", "Step 21700: Energy = -0.24, Temperature = 309.78 K\n", "Step 21800: Energy = -0.24, Temperature = 309.78 K\n", "Step 21900: Energy = -0.24, Temperature = 309.78 K\n", "Step 22000: Energy = -0.24, Temperature = 310.08 K\n", "Step 22100: Energy = -0.24, Temperature = 310.08 K\n", "Step 22200: Energy = -0.24, Temperature = 310.08 K\n", "Step 22300: Energy = -0.24, Temperature = 310.08 K\n", "Step 22400: Energy = -0.24, Temperature = 310.08 K\n", "Step 22500: Energy = -0.24, Temperature = 310.08 K\n", "Step 22600: Energy = -0.24, Temperature = 310.08 K\n", "Step 22700: Energy = -0.24, Temperature = 310.08 K\n", "Step 22800: Energy = -0.24, Temperature = 310.08 K\n", "Step 22900: Energy = -0.24, Temperature = 310.08 K\n", "Step 23000: Energy = -0.23, Temperature = 309.92 K\n", "Step 23100: Energy = -0.23, Temperature = 309.92 K\n", "Step 23200: Energy = -0.23, Temperature = 309.92 K\n", "Step 23300: Energy = -0.23, Temperature = 309.92 K\n", "Step 23400: Energy = -0.23, Temperature = 309.92 K\n", "Step 23500: Energy = -0.23, Temperature = 309.92 K\n", "Step 23600: Energy = -0.23, Temperature = 309.92 K\n", "Step 23700: Energy = -0.23, Temperature = 309.92 K\n", "Step 23800: Energy = -0.23, Temperature = 309.92 K\n", "Step 23900: Energy = -0.23, Temperature = 309.92 K\n", "Step 24000: Energy = -0.24, Temperature = 310.10 K\n", "Step 24100: Energy = -0.24, Temperature = 310.10 K\n", "Step 24200: Energy = -0.24, Temperature = 310.10 K\n", "Step 24300: Energy = -0.24, Temperature = 310.10 K\n", "Step 24400: Energy = -0.24, Temperature = 310.10 K\n", "Step 24500: Energy = -0.24, Temperature = 310.10 K\n", "Step 24600: Energy = -0.24, Temperature = 310.10 K\n", "Step 24700: Energy = -0.24, Temperature = 310.10 K\n", "Step 24800: Energy = -0.24, Temperature = 310.10 K\n", "Step 24900: Energy = -0.24, Temperature = 310.10 K\n", "Step 25000: Energy = -0.23, Temperature = 309.88 K\n", "Step 25100: Energy = -0.23, Temperature = 309.88 K\n", "Step 25200: Energy = -0.23, Temperature = 309.88 K\n", "Step 25300: Energy = -0.23, Temperature = 309.88 K\n", "Step 25400: Energy = -0.23, Temperature = 309.88 K\n", "Step 25500: Energy = -0.23, Temperature = 309.88 K\n", "Step 25600: Energy = -0.23, Temperature = 309.88 K\n", "Step 25700: Energy = -0.23, Temperature = 309.88 K\n", "Step 25800: Energy = -0.23, Temperature = 309.88 K\n", "Step 25900: Energy = -0.23, Temperature = 309.88 K\n", "Step 26000: Energy = -0.24, Temperature = 310.10 K\n", "Step 26100: Energy = -0.24, Temperature = 310.10 K\n", "Step 26200: Energy = -0.24, Temperature = 310.10 K\n", "Step 26300: Energy = -0.24, Temperature = 310.10 K\n", "Step 26400: Energy = -0.24, Temperature = 310.10 K\n", "Step 26500: Energy = -0.24, Temperature = 310.10 K\n", "Step 26600: Energy = -0.24, Temperature = 310.10 K\n", "Step 26700: Energy = -0.24, Temperature = 310.10 K\n", "Step 26800: Energy = -0.24, Temperature = 310.10 K\n", "Step 26900: Energy = -0.24, Temperature = 310.10 K\n", "Step 27000: Energy = -0.24, Temperature = 310.03 K\n", "Step 27100: Energy = -0.24, Temperature = 310.03 K\n", "Step 27200: Energy = -0.24, Temperature = 310.03 K\n", "Step 27300: Energy = -0.24, Temperature = 310.03 K\n", "Step 27400: Energy = -0.24, Temperature = 310.03 K\n", "Step 27500: Energy = -0.24, Temperature = 310.03 K\n", "Step 27600: Energy = -0.24, Temperature = 310.03 K\n", "Step 27700: Energy = -0.24, Temperature = 310.03 K\n", "Step 27800: Energy = -0.24, Temperature = 310.03 K\n", "Step 27900: Energy = -0.24, Temperature = 310.03 K\n", "Step 28000: Energy = -0.24, Temperature = 309.85 K\n", "Step 28100: Energy = -0.24, Temperature = 309.85 K\n", "Step 28200: Energy = -0.24, Temperature = 309.85 K\n", "Step 28300: Energy = -0.24, Temperature = 309.85 K\n", "Step 28400: Energy = -0.24, Temperature = 309.85 K\n", "Step 28500: Energy = -0.24, Temperature = 309.85 K\n", "Step 28600: Energy = -0.24, Temperature = 309.85 K\n", "Step 28700: Energy = -0.24, Temperature = 309.85 K\n", "Step 28800: Energy = -0.24, Temperature = 309.85 K\n", "Step 28900: Energy = -0.24, Temperature = 309.85 K\n", "Step 29000: Energy = -0.23, Temperature = 309.97 K\n", "Step 29100: Energy = -0.23, Temperature = 309.97 K\n", "Step 29200: Energy = -0.23, Temperature = 309.97 K\n", "Step 29300: Energy = -0.23, Temperature = 309.97 K\n", "Step 29400: Energy = -0.23, Temperature = 309.97 K\n", "Step 29500: Energy = -0.23, Temperature = 309.97 K\n", "Step 29600: Energy = -0.23, Temperature = 309.97 K\n", "Step 29700: Energy = -0.23, Temperature = 309.97 K\n", "Step 29800: Energy = -0.23, Temperature = 309.97 K\n", "Step 29900: Energy = -0.23, Temperature = 309.97 K\n", "Step 30000: Energy = -0.24, Temperature = 309.80 K\n", "Step 30100: Energy = -0.24, Temperature = 309.80 K\n", "Step 30200: Energy = -0.24, Temperature = 309.80 K\n", "Step 30300: Energy = -0.24, Temperature = 309.80 K\n", "Step 30400: Energy = -0.24, Temperature = 309.80 K\n", "Step 30500: Energy = -0.24, Temperature = 309.80 K\n", "Step 30600: Energy = -0.24, Temperature = 309.80 K\n", "Step 30700: Energy = -0.24, Temperature = 309.80 K\n", "Step 30800: Energy = -0.24, Temperature = 309.80 K\n", "Step 30900: Energy = -0.24, Temperature = 309.80 K\n", "Step 31000: Energy = -0.23, Temperature = 309.96 K\n", "Step 31100: Energy = -0.23, Temperature = 309.96 K\n", "Step 31200: Energy = -0.23, Temperature = 309.96 K\n", "Step 31300: Energy = -0.23, Temperature = 309.96 K\n", "Step 31400: Energy = -0.23, Temperature = 309.96 K\n", "Step 31500: Energy = -0.23, Temperature = 309.96 K\n", "Step 31600: Energy = -0.23, Temperature = 309.96 K\n", "Step 31700: Energy = -0.23, Temperature = 309.96 K\n", "Step 31800: Energy = -0.23, Temperature = 309.96 K\n", "Step 31900: Energy = -0.23, Temperature = 309.96 K\n", "Step 32000: Energy = -0.24, Temperature = 309.96 K\n", "Step 32100: Energy = -0.24, Temperature = 309.96 K\n", "Step 32200: Energy = -0.24, Temperature = 309.96 K\n", "Step 32300: Energy = -0.24, Temperature = 309.96 K\n", "Step 32400: Energy = -0.24, Temperature = 309.96 K\n", "Step 32500: Energy = -0.24, Temperature = 309.96 K\n", "Step 32600: Energy = -0.24, Temperature = 309.96 K\n", "Step 32700: Energy = -0.24, Temperature = 309.96 K\n", "Step 32800: Energy = -0.24, Temperature = 309.96 K\n", "Step 32900: Energy = -0.24, Temperature = 309.96 K\n", "Step 33000: Energy = -0.23, Temperature = 309.86 K\n", "Step 33100: Energy = -0.23, Temperature = 309.86 K\n", "Step 33200: Energy = -0.23, Temperature = 309.86 K\n", "Step 33300: Energy = -0.23, Temperature = 309.86 K\n", "Step 33400: Energy = -0.23, Temperature = 309.86 K\n", "Step 33500: Energy = -0.23, Temperature = 309.86 K\n", "Step 33600: Energy = -0.23, Temperature = 309.86 K\n", "Step 33700: Energy = -0.23, Temperature = 309.86 K\n", "Step 33800: Energy = -0.23, Temperature = 309.86 K\n", "Step 33900: Energy = -0.23, Temperature = 309.86 K\n", "Step 34000: Energy = -0.24, Temperature = 309.96 K\n", "Step 34100: Energy = -0.24, Temperature = 309.96 K\n", "Step 34200: Energy = -0.24, Temperature = 309.96 K\n", "Step 34300: Energy = -0.24, Temperature = 309.96 K\n", "Step 34400: Energy = -0.24, Temperature = 309.96 K\n", "Step 34500: Energy = -0.24, Temperature = 309.96 K\n", "Step 34600: Energy = -0.24, Temperature = 309.96 K\n", "Step 34700: Energy = -0.24, Temperature = 309.96 K\n", "Step 34800: Energy = -0.24, Temperature = 309.96 K\n", "Step 34900: Energy = -0.24, Temperature = 309.96 K\n", "Step 35000: Energy = -0.23, Temperature = 310.12 K\n", "Step 35100: Energy = -0.23, Temperature = 310.12 K\n", "Step 35200: Energy = -0.23, Temperature = 310.12 K\n", "Step 35300: Energy = -0.23, Temperature = 310.12 K\n", "Step 35400: Energy = -0.23, Temperature = 310.12 K\n", "Step 35500: Energy = -0.23, Temperature = 310.12 K\n", "Step 35600: Energy = -0.23, Temperature = 310.12 K\n", "Step 35700: Energy = -0.23, Temperature = 310.12 K\n", "Step 35800: Energy = -0.23, Temperature = 310.12 K\n", "Step 35900: Energy = -0.23, Temperature = 310.12 K\n", "Step 36000: Energy = -0.24, Temperature = 310.12 K\n", "Step 36100: Energy = -0.24, Temperature = 310.12 K\n", "Step 36200: Energy = -0.24, Temperature = 310.12 K\n", "Step 36300: Energy = -0.24, Temperature = 310.12 K\n", "Step 36400: Energy = -0.24, Temperature = 310.12 K\n", "Step 36500: Energy = -0.24, Temperature = 310.12 K\n", "Step 36600: Energy = -0.24, Temperature = 310.12 K\n", "Step 36700: Energy = -0.24, Temperature = 310.12 K\n", "Step 36800: Energy = -0.24, Temperature = 310.12 K\n", "Step 36900: Energy = -0.24, Temperature = 310.12 K\n", "Step 37000: Energy = -0.23, Temperature = 310.10 K\n", "Step 37100: Energy = -0.23, Temperature = 310.10 K\n", "Step 37200: Energy = -0.23, Temperature = 310.10 K\n", "Step 37300: Energy = -0.23, Temperature = 310.10 K\n", "Step 37400: Energy = -0.23, Temperature = 310.10 K\n", "Step 37500: Energy = -0.23, Temperature = 310.10 K\n", "Step 37600: Energy = -0.23, Temperature = 310.10 K\n", "Step 37700: Energy = -0.23, Temperature = 310.10 K\n", "Step 37800: Energy = -0.23, Temperature = 310.10 K\n", "Step 37900: Energy = -0.23, Temperature = 310.10 K\n", "Step 38000: Energy = -0.23, Temperature = 310.04 K\n", "Step 38100: Energy = -0.23, Temperature = 310.04 K\n", "Step 38200: Energy = -0.23, Temperature = 310.04 K\n", "Step 38300: Energy = -0.23, Temperature = 310.04 K\n", "Step 38400: Energy = -0.23, Temperature = 310.04 K\n", "Step 38500: Energy = -0.23, Temperature = 310.04 K\n", "Step 38600: Energy = -0.23, Temperature = 310.04 K\n", "Step 38700: Energy = -0.23, Temperature = 310.04 K\n", "Step 38800: Energy = -0.23, Temperature = 310.04 K\n", "Step 38900: Energy = -0.23, Temperature = 310.04 K\n", "Step 39000: Energy = -0.24, Temperature = 309.91 K\n", "Step 39100: Energy = -0.24, Temperature = 309.91 K\n", "Step 39200: Energy = -0.24, Temperature = 309.91 K\n", "Step 39300: Energy = -0.24, Temperature = 309.91 K\n", "Step 39400: Energy = -0.24, Temperature = 309.91 K\n", "Step 39500: Energy = -0.24, Temperature = 309.91 K\n", "Step 39600: Energy = -0.24, Temperature = 309.91 K\n", "Step 39700: Energy = -0.24, Temperature = 309.91 K\n", "Step 39800: Energy = -0.24, Temperature = 309.91 K\n", "Step 39900: Energy = -0.24, Temperature = 309.91 K\n", "Step 40000: Energy = -0.24, Temperature = 310.19 K\n", "Step 40100: Energy = -0.24, Temperature = 310.19 K\n", "Step 40200: Energy = -0.24, Temperature = 310.19 K\n", "Step 40300: Energy = -0.24, Temperature = 310.19 K\n", "Step 40400: Energy = -0.24, Temperature = 310.19 K\n", "Step 40500: Energy = -0.24, Temperature = 310.19 K\n", "Step 40600: Energy = -0.24, Temperature = 310.19 K\n", "Step 40700: Energy = -0.24, Temperature = 310.19 K\n", "Step 40800: Energy = -0.24, Temperature = 310.19 K\n", "Step 40900: Energy = -0.24, Temperature = 310.19 K\n", "Step 41000: Energy = -0.24, Temperature = 309.80 K\n", "Step 41100: Energy = -0.24, Temperature = 309.80 K\n", "Step 41200: Energy = -0.24, Temperature = 309.80 K\n", "Step 41300: Energy = -0.24, Temperature = 309.80 K\n", "Step 41400: Energy = -0.24, Temperature = 309.80 K\n", "Step 41500: Energy = -0.24, Temperature = 309.80 K\n", "Step 41600: Energy = -0.24, Temperature = 309.80 K\n", "Step 41700: Energy = -0.24, Temperature = 309.80 K\n", "Step 41800: Energy = -0.24, Temperature = 309.80 K\n", "Step 41900: Energy = -0.24, Temperature = 309.80 K\n", "Step 42000: Energy = -0.24, Temperature = 309.88 K\n", "Step 42100: Energy = -0.24, Temperature = 309.88 K\n", "Step 42200: Energy = -0.24, Temperature = 309.88 K\n", "Step 42300: Energy = -0.24, Temperature = 309.88 K\n", "Step 42400: Energy = -0.24, Temperature = 309.88 K\n", "Step 42500: Energy = -0.24, Temperature = 309.88 K\n", "Step 42600: Energy = -0.24, Temperature = 309.88 K\n", "Step 42700: Energy = -0.24, Temperature = 309.88 K\n", "Step 42800: Energy = -0.24, Temperature = 309.88 K\n", "Step 42900: Energy = -0.24, Temperature = 309.88 K\n", "Step 43000: Energy = -0.24, Temperature = 310.06 K\n", "Step 43100: Energy = -0.24, Temperature = 310.06 K\n", "Step 43200: Energy = -0.24, Temperature = 310.06 K\n", "Step 43300: Energy = -0.24, Temperature = 310.06 K\n", "Step 43400: Energy = -0.24, Temperature = 310.06 K\n", "Step 43500: Energy = -0.24, Temperature = 310.06 K\n", "Step 43600: Energy = -0.24, Temperature = 310.06 K\n", "Step 43700: Energy = -0.24, Temperature = 310.06 K\n", "Step 43800: Energy = -0.24, Temperature = 310.06 K\n", "Step 43900: Energy = -0.24, Temperature = 310.06 K\n", "Step 44000: Energy = -0.23, Temperature = 309.86 K\n", "Step 44100: Energy = -0.23, Temperature = 309.86 K\n", "Step 44200: Energy = -0.23, Temperature = 309.86 K\n", "Step 44300: Energy = -0.23, Temperature = 309.86 K\n", "Step 44400: Energy = -0.23, Temperature = 309.86 K\n", "Step 44500: Energy = -0.23, Temperature = 309.86 K\n", "Step 44600: Energy = -0.23, Temperature = 309.86 K\n", "Step 44700: Energy = -0.23, Temperature = 309.86 K\n", "Step 44800: Energy = -0.23, Temperature = 309.86 K\n", "Step 44900: Energy = -0.23, Temperature = 309.86 K\n", "Step 45000: Energy = -0.23, Temperature = 310.21 K\n", "Step 45100: Energy = -0.23, Temperature = 310.21 K\n", "Step 45200: Energy = -0.23, Temperature = 310.21 K\n", "Step 45300: Energy = -0.23, Temperature = 310.21 K\n", "Step 45400: Energy = -0.23, Temperature = 310.21 K\n", "Step 45500: Energy = -0.23, Temperature = 310.21 K\n", "Step 45600: Energy = -0.23, Temperature = 310.21 K\n", "Step 45700: Energy = -0.23, Temperature = 310.21 K\n", "Step 45800: Energy = -0.23, Temperature = 310.21 K\n", "Step 45900: Energy = -0.23, Temperature = 310.21 K\n", "Step 46000: Energy = -0.24, Temperature = 309.87 K\n", "Step 46100: Energy = -0.24, Temperature = 309.87 K\n", "Step 46200: Energy = -0.24, Temperature = 309.87 K\n", "Step 46300: Energy = -0.24, Temperature = 309.87 K\n", "Step 46400: Energy = -0.24, Temperature = 309.87 K\n", "Step 46500: Energy = -0.24, Temperature = 309.87 K\n", "Step 46600: Energy = -0.24, Temperature = 309.87 K\n", "Step 46700: Energy = -0.24, Temperature = 309.87 K\n", "Step 46800: Energy = -0.24, Temperature = 309.87 K\n", "Step 46900: Energy = -0.24, Temperature = 309.87 K\n", "Step 47000: Energy = -0.23, Temperature = 309.97 K\n", "Step 47100: Energy = -0.23, Temperature = 309.97 K\n", "Step 47200: Energy = -0.23, Temperature = 309.97 K\n", "Step 47300: Energy = -0.23, Temperature = 309.97 K\n", "Step 47400: Energy = -0.23, Temperature = 309.97 K\n", "Step 47500: Energy = -0.23, Temperature = 309.97 K\n", "Step 47600: Energy = -0.23, Temperature = 309.97 K\n", "Step 47700: Energy = -0.23, Temperature = 309.97 K\n", "Step 47800: Energy = -0.23, Temperature = 309.97 K\n", "Step 47900: Energy = -0.23, Temperature = 309.97 K\n", "Step 48000: Energy = -0.24, Temperature = 309.81 K\n", "Step 48100: Energy = -0.24, Temperature = 309.81 K\n", "Step 48200: Energy = -0.24, Temperature = 309.81 K\n", "Step 48300: Energy = -0.24, Temperature = 309.81 K\n", "Step 48400: Energy = -0.24, Temperature = 309.81 K\n", "Step 48500: Energy = -0.24, Temperature = 309.81 K\n", "Step 48600: Energy = -0.24, Temperature = 309.81 K\n", "Step 48700: Energy = -0.24, Temperature = 309.81 K\n", "Step 48800: Energy = -0.24, Temperature = 309.81 K\n", "Step 48900: Energy = -0.24, Temperature = 309.81 K\n", "Step 49000: Energy = -0.24, Temperature = 309.78 K\n", "Step 49100: Energy = -0.24, Temperature = 309.78 K\n", "Step 49200: Energy = -0.24, Temperature = 309.78 K\n", "Step 49300: Energy = -0.24, Temperature = 309.78 K\n", "Step 49400: Energy = -0.24, Temperature = 309.78 K\n", "Step 49500: Energy = -0.24, Temperature = 309.78 K\n", "Step 49600: Energy = -0.24, Temperature = 309.78 K\n", "Step 49700: Energy = -0.24, Temperature = 309.78 K\n", "Step 49800: Energy = -0.24, Temperature = 309.78 K\n", "Step 49900: Energy = -0.24, Temperature = 309.78 K\n" ] } ], "source": [ "# Run the simulation\n", "steps_plot, positions_list, velocities_list, temperature_list, energy_list = velocity_verlet(positions, velocities, L, dt, thermostat=True, stride=500)\n", "positions_list = np.array(positions_list)\n", "velocities_list = np.array(velocities_list)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Analysis of the temperature and energy of the system" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the temperature evolution\n", "plot_temperature(steps_plot, temperature_list)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot of the total energy during the simulation\n", "plot_energy(steps_plot, energy_list)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Production run" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# Run the simulation\n", "n_steps = 100000 # Number of time steps\n", "stride = 5\n", "\n", "equilibrated_pos = positions_list[-1]\n", "equilibrated_vel = velocities_list[-1]\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Step 0: Energy = -0.24, Temperature = 309.86 K\n", "Step 100: Energy = -0.24, Temperature = 286.76 K\n", "Step 200: Energy = -0.24, Temperature = 312.21 K\n", "Step 300: Energy = -0.24, Temperature = 391.27 K\n", "Step 400: Energy = -0.24, Temperature = 307.32 K\n", "Step 500: Energy = -0.24, Temperature = 202.93 K\n", "Step 600: Energy = -0.24, Temperature = 251.69 K\n", "Step 700: Energy = -0.24, Temperature = 277.06 K\n", "Step 800: Energy = -0.24, Temperature = 268.61 K\n", "Step 900: Energy = -0.24, Temperature = 255.84 K\n", "Step 1000: Energy = -0.24, Temperature = 223.40 K\n", "Step 1100: Energy = -0.24, Temperature = 215.39 K\n", "Step 1200: Energy = -0.24, Temperature = 242.99 K\n", "Step 1300: Energy = -0.24, Temperature = 277.40 K\n", "Step 1400: Energy = -0.24, Temperature = 329.64 K\n", "Step 1500: Energy = -0.24, Temperature = 338.18 K\n", "Step 1600: Energy = -0.24, Temperature = 345.92 K\n", "Step 1700: Energy = -0.24, Temperature = 338.28 K\n", "Step 1800: Energy = -0.24, Temperature = 303.24 K\n", "Step 1900: Energy = -0.24, Temperature = 333.64 K\n", "Step 2000: Energy = -0.24, Temperature = 262.00 K\n", "Step 2100: Energy = -0.24, Temperature = 229.13 K\n", "Step 2200: Energy = -0.24, Temperature = 293.70 K\n", "Step 2300: Energy = -0.24, Temperature = 292.97 K\n", "Step 2400: Energy = -0.24, Temperature = 306.72 K\n", "Step 2500: Energy = -0.24, Temperature = 306.33 K\n", "Step 2600: Energy = -0.24, Temperature = 291.78 K\n", "Step 2700: Energy = -0.24, Temperature = 357.95 K\n", "Step 2800: Energy = -0.24, Temperature = 412.75 K\n", "Step 2900: Energy = -0.24, Temperature = 408.09 K\n", "Step 3000: Energy = -0.24, Temperature = 304.36 K\n", "Step 3100: Energy = -0.24, Temperature = 234.01 K\n", "Step 3200: Energy = -0.24, Temperature = 294.60 K\n", "Step 3300: Energy = -0.24, Temperature = 266.26 K\n", "Step 3400: Energy = -0.24, Temperature = 205.47 K\n", "Step 3500: Energy = -0.24, Temperature = 191.03 K\n", "Step 3600: Energy = -0.24, Temperature = 192.66 K\n", "Step 3700: Energy = -0.24, Temperature = 169.23 K\n", "Step 3800: Energy = -0.24, Temperature = 218.54 K\n", "Step 3900: Energy = -0.24, Temperature = 359.73 K\n", "Step 4000: Energy = -0.24, Temperature = 413.02 K\n", "Step 4100: Energy = -0.24, Temperature = 359.02 K\n", "Step 4200: Energy = -0.24, Temperature = 362.58 K\n", "Step 4300: Energy = -0.24, Temperature = 347.24 K\n", "Step 4400: Energy = -0.24, Temperature = 295.42 K\n", "Step 4500: Energy = -0.24, Temperature = 258.92 K\n", "Step 4600: Energy = -0.24, Temperature = 276.33 K\n", "Step 4700: Energy = -0.24, Temperature = 311.75 K\n", "Step 4800: Energy = -0.24, Temperature = 276.96 K\n", "Step 4900: Energy = -0.24, Temperature = 182.02 K\n", "Step 5000: Energy = -0.24, Temperature = 266.86 K\n", "Step 5100: Energy = -0.24, Temperature = 387.04 K\n", "Step 5200: Energy = -0.24, Temperature = 361.76 K\n", "Step 5300: Energy = -0.24, Temperature = 247.60 K\n", "Step 5400: Energy = -0.24, Temperature = 273.59 K\n", "Step 5500: Energy = -0.24, Temperature = 340.62 K\n", "Step 5600: Energy = -0.24, Temperature = 344.69 K\n", "Step 5700: Energy = -0.24, Temperature = 351.01 K\n", "Step 5800: Energy = -0.24, Temperature = 336.69 K\n", "Step 5900: Energy = -0.24, Temperature = 261.28 K\n", "Step 6000: Energy = -0.24, Temperature = 252.62 K\n", "Step 6100: Energy = -0.24, Temperature = 289.78 K\n", "Step 6200: Energy = -0.24, Temperature = 288.62 K\n", "Step 6300: Energy = -0.24, Temperature = 266.17 K\n", "Step 6400: Energy = -0.24, Temperature = 274.86 K\n", "Step 6500: Energy = -0.24, Temperature = 273.25 K\n", "Step 6600: Energy = -0.24, Temperature = 260.87 K\n", "Step 6700: Energy = -0.24, Temperature = 299.03 K\n", "Step 6800: Energy = -0.24, Temperature = 312.32 K\n", "Step 6900: Energy = -0.24, Temperature = 304.28 K\n", "Step 7000: Energy = -0.24, Temperature = 289.18 K\n", "Step 7100: Energy = -0.24, Temperature = 276.55 K\n", "Step 7200: Energy = -0.24, Temperature = 332.30 K\n", "Step 7300: Energy = -0.24, Temperature = 349.94 K\n", "Step 7400: Energy = -0.24, Temperature = 313.70 K\n", "Step 7500: Energy = -0.24, Temperature = 241.54 K\n", "Step 7600: Energy = -0.24, Temperature = 214.44 K\n", "Step 7700: Energy = -0.24, Temperature = 268.50 K\n", "Step 7800: Energy = -0.24, Temperature = 255.37 K\n", "Step 7900: Energy = -0.24, Temperature = 197.48 K\n", "Step 8000: Energy = -0.24, Temperature = 264.44 K\n", "Step 8100: Energy = -0.24, Temperature = 360.58 K\n", "Step 8200: Energy = -0.24, Temperature = 384.31 K\n", "Step 8300: Energy = -0.24, Temperature = 358.41 K\n", "Step 8400: Energy = -0.24, Temperature = 301.95 K\n", "Step 8500: Energy = -0.24, Temperature = 268.19 K\n", "Step 8600: Energy = -0.24, Temperature = 296.66 K\n", "Step 8700: Energy = -0.24, Temperature = 288.66 K\n", "Step 8800: Energy = -0.24, Temperature = 276.02 K\n", "Step 8900: Energy = -0.24, Temperature = 383.23 K\n", "Step 9000: Energy = -0.24, Temperature = 455.90 K\n", "Step 9100: Energy = -0.24, Temperature = 335.91 K\n", "Step 9200: Energy = -0.24, Temperature = 257.93 K\n", "Step 9300: Energy = -0.24, Temperature = 291.25 K\n", "Step 9400: Energy = -0.24, Temperature = 260.33 K\n", "Step 9500: Energy = -0.24, Temperature = 215.07 K\n", "Step 9600: Energy = -0.24, Temperature = 194.72 K\n", "Step 9700: Energy = -0.24, Temperature = 180.68 K\n", "Step 9800: Energy = -0.24, Temperature = 211.80 K\n", "Step 9900: Energy = -0.24, Temperature = 285.24 K\n", "Step 10000: Energy = -0.24, Temperature = 348.77 K\n", "Step 10100: Energy = -0.24, Temperature = 373.32 K\n", "Step 10200: Energy = -0.24, Temperature = 340.45 K\n", "Step 10300: Energy = -0.24, Temperature = 269.95 K\n", "Step 10400: Energy = -0.24, Temperature = 311.65 K\n", "Step 10500: Energy = -0.24, Temperature = 327.58 K\n", "Step 10600: Energy = -0.24, Temperature = 302.73 K\n", "Step 10700: Energy = -0.24, Temperature = 303.95 K\n", "Step 10800: Energy = -0.24, Temperature = 318.66 K\n", "Step 10900: Energy = -0.24, Temperature = 279.16 K\n", "Step 11000: Energy = -0.24, Temperature = 227.15 K\n", "Step 11100: Energy = -0.24, Temperature = 293.56 K\n", "Step 11200: Energy = -0.24, Temperature = 411.51 K\n", "Step 11300: Energy = -0.24, Temperature = 396.95 K\n", "Step 11400: Energy = -0.24, Temperature = 294.12 K\n", "Step 11500: Energy = -0.24, Temperature = 228.81 K\n", "Step 11600: Energy = -0.24, Temperature = 205.01 K\n", "Step 11700: Energy = -0.24, Temperature = 192.92 K\n", "Step 11800: Energy = -0.24, Temperature = 193.67 K\n", "Step 11900: Energy = -0.24, Temperature = 201.45 K\n", "Step 12000: Energy = -0.24, Temperature = 214.12 K\n", "Step 12100: Energy = -0.24, Temperature = 259.58 K\n", "Step 12200: Energy = -0.24, Temperature = 364.66 K\n", "Step 12300: Energy = -0.24, Temperature = 467.77 K\n", "Step 12400: Energy = -0.24, Temperature = 397.36 K\n", "Step 12500: Energy = -0.24, Temperature = 233.75 K\n", "Step 12600: Energy = -0.24, Temperature = 381.58 K\n", "Step 12700: Energy = -0.24, Temperature = 356.31 K\n", "Step 12800: Energy = -0.24, Temperature = 292.70 K\n", "Step 12900: Energy = -0.24, Temperature = 264.99 K\n", "Step 13000: Energy = -0.24, Temperature = 264.21 K\n", "Step 13100: Energy = -0.24, Temperature = 307.31 K\n", "Step 13200: Energy = -0.24, Temperature = 267.99 K\n", "Step 13300: Energy = -0.24, Temperature = 294.01 K\n", "Step 13400: Energy = -0.24, Temperature = 341.02 K\n", "Step 13500: Energy = -0.24, Temperature = 276.61 K\n", "Step 13600: Energy = -0.24, Temperature = 197.09 K\n", "Step 13700: Energy = -0.24, Temperature = 284.51 K\n", "Step 13800: Energy = -0.24, Temperature = 394.83 K\n", "Step 13900: Energy = -0.24, Temperature = 410.07 K\n", "Step 14000: Energy = -0.24, Temperature = 369.65 K\n", "Step 14100: Energy = -0.24, Temperature = 290.72 K\n", "Step 14200: Energy = -0.24, Temperature = 177.37 K\n", "Step 14300: Energy = -0.24, Temperature = 181.20 K\n", "Step 14400: Energy = -0.24, Temperature = 260.15 K\n", "Step 14500: Energy = -0.24, Temperature = 271.08 K\n", "Step 14600: Energy = -0.24, Temperature = 264.42 K\n", "Step 14700: Energy = -0.24, Temperature = 261.39 K\n", "Step 14800: Energy = -0.24, Temperature = 296.59 K\n", "Step 14900: Energy = -0.24, Temperature = 316.56 K\n", "Step 15000: Energy = -0.24, Temperature = 280.18 K\n", "Step 15100: Energy = -0.24, Temperature = 221.97 K\n", "Step 15200: Energy = -0.24, Temperature = 240.40 K\n", "Step 15300: Energy = -0.24, Temperature = 262.13 K\n", "Step 15400: Energy = -0.24, Temperature = 288.86 K\n", "Step 15500: Energy = -0.24, Temperature = 352.40 K\n", "Step 15600: Energy = -0.24, Temperature = 390.54 K\n", "Step 15700: Energy = -0.24, Temperature = 364.74 K\n", "Step 15800: Energy = -0.24, Temperature = 304.14 K\n", "Step 15900: Energy = -0.24, Temperature = 273.28 K\n", "Step 16000: Energy = -0.24, Temperature = 258.69 K\n", "Step 16100: Energy = -0.24, Temperature = 289.93 K\n", "Step 16200: Energy = -0.24, Temperature = 287.74 K\n", "Step 16300: Energy = -0.24, Temperature = 251.49 K\n", "Step 16400: Energy = -0.24, Temperature = 247.80 K\n", "Step 16500: Energy = -0.24, Temperature = 265.78 K\n", "Step 16600: Energy = -0.24, Temperature = 282.70 K\n", "Step 16700: Energy = -0.24, Temperature = 325.38 K\n", "Step 16800: Energy = -0.24, Temperature = 295.46 K\n", "Step 16900: Energy = -0.24, Temperature = 236.08 K\n", "Step 17000: Energy = -0.24, Temperature = 282.66 K\n", "Step 17100: Energy = -0.24, Temperature = 372.17 K\n", "Step 17200: Energy = -0.24, Temperature = 373.06 K\n", "Step 17300: Energy = -0.24, Temperature = 292.39 K\n", "Step 17400: Energy = -0.24, Temperature = 229.84 K\n", "Step 17500: Energy = -0.24, Temperature = 249.59 K\n", "Step 17600: Energy = -0.24, Temperature = 300.13 K\n", "Step 17700: Energy = -0.24, Temperature = 306.83 K\n", "Step 17800: Energy = -0.24, Temperature = 291.72 K\n", "Step 17900: Energy = -0.24, Temperature = 275.32 K\n", "Step 18000: Energy = -0.24, Temperature = 354.95 K\n", "Step 18100: Energy = -0.24, Temperature = 382.06 K\n", "Step 18200: Energy = -0.24, Temperature = 317.01 K\n", "Step 18300: Energy = -0.24, Temperature = 267.24 K\n", "Step 18400: Energy = -0.24, Temperature = 272.51 K\n", "Step 18500: Energy = -0.24, Temperature = 310.59 K\n", "Step 18600: Energy = -0.24, Temperature = 301.07 K\n", "Step 18700: Energy = -0.24, Temperature = 185.89 K\n", "Step 18800: Energy = -0.24, Temperature = 243.93 K\n", "Step 18900: Energy = -0.24, Temperature = 379.61 K\n", "Step 19000: Energy = -0.24, Temperature = 419.71 K\n", "Step 19100: Energy = -0.24, Temperature = 371.59 K\n", "Step 19200: Energy = -0.24, Temperature = 263.83 K\n", "Step 19300: Energy = -0.24, Temperature = 229.68 K\n", "Step 19400: Energy = -0.24, Temperature = 318.23 K\n", "Step 19500: Energy = -0.24, Temperature = 342.03 K\n", "Step 19600: Energy = -0.24, Temperature = 272.77 K\n", "Step 19700: Energy = -0.24, Temperature = 267.65 K\n", "Step 19800: Energy = -0.24, Temperature = 373.32 K\n", "Step 19900: Energy = -0.24, Temperature = 412.02 K\n", "Step 20000: Energy = -0.24, Temperature = 281.34 K\n", "Step 20100: Energy = -0.24, Temperature = 202.98 K\n", "Step 20200: Energy = -0.24, Temperature = 262.46 K\n", "Step 20300: Energy = -0.24, Temperature = 326.73 K\n", "Step 20400: Energy = -0.24, Temperature = 357.34 K\n", "Step 20500: Energy = -0.24, Temperature = 346.47 K\n", "Step 20600: Energy = -0.24, Temperature = 271.89 K\n", "Step 20700: Energy = -0.24, Temperature = 169.75 K\n", "Step 20800: Energy = -0.24, Temperature = 237.17 K\n", "Step 20900: Energy = -0.24, Temperature = 374.07 K\n", "Step 21000: Energy = -0.24, Temperature = 351.37 K\n", "Step 21100: Energy = -0.24, Temperature = 253.67 K\n", "Step 21200: Energy = -0.24, Temperature = 272.20 K\n", "Step 21300: Energy = -0.24, Temperature = 291.52 K\n", "Step 21400: Energy = -0.24, Temperature = 225.63 K\n", "Step 21500: Energy = -0.24, Temperature = 192.21 K\n", "Step 21600: Energy = -0.24, Temperature = 239.07 K\n", "Step 21700: Energy = -0.24, Temperature = 299.08 K\n", "Step 21800: Energy = -0.24, Temperature = 336.70 K\n", "Step 21900: Energy = -0.24, Temperature = 308.72 K\n", "Step 22000: Energy = -0.24, Temperature = 215.55 K\n", "Step 22100: Energy = -0.24, Temperature = 232.38 K\n", "Step 22200: Energy = -0.24, Temperature = 328.78 K\n", "Step 22300: Energy = -0.24, Temperature = 356.49 K\n", "Step 22400: Energy = -0.24, Temperature = 364.21 K\n", "Step 22500: Energy = -0.24, Temperature = 356.58 K\n", "Step 22600: Energy = -0.24, Temperature = 312.06 K\n", "Step 22700: Energy = -0.24, Temperature = 269.16 K\n", "Step 22800: Energy = -0.24, Temperature = 264.93 K\n", "Step 22900: Energy = -0.24, Temperature = 308.81 K\n", "Step 23000: Energy = -0.24, Temperature = 376.03 K\n", "Step 23100: Energy = -0.24, Temperature = 403.53 K\n", "Step 23200: Energy = -0.24, Temperature = 340.35 K\n", "Step 23300: Energy = -0.24, Temperature = 260.35 K\n", "Step 23400: Energy = -0.24, Temperature = 220.09 K\n", "Step 23500: Energy = -0.24, Temperature = 185.03 K\n", "Step 23600: Energy = -0.24, Temperature = 216.48 K\n", "Step 23700: Energy = -0.24, Temperature = 285.63 K\n", "Step 23800: Energy = -0.24, Temperature = 259.92 K\n", "Step 23900: Energy = -0.24, Temperature = 214.07 K\n", "Step 24000: Energy = -0.24, Temperature = 223.93 K\n", "Step 24100: Energy = -0.24, Temperature = 293.78 K\n", "Step 24200: Energy = -0.24, Temperature = 269.04 K\n", "Step 24300: Energy = -0.24, Temperature = 217.98 K\n", "Step 24400: Energy = -0.24, Temperature = 235.31 K\n", "Step 24500: Energy = -0.24, Temperature = 265.04 K\n", "Step 24600: Energy = -0.24, Temperature = 277.77 K\n", "Step 24700: Energy = -0.24, Temperature = 335.34 K\n", "Step 24800: Energy = -0.24, Temperature = 416.45 K\n", "Step 24900: Energy = -0.24, Temperature = 442.54 K\n", "Step 25000: Energy = -0.24, Temperature = 379.10 K\n", "Step 25100: Energy = -0.24, Temperature = 304.42 K\n", "Step 25200: Energy = -0.24, Temperature = 306.33 K\n", "Step 25300: Energy = -0.24, Temperature = 330.07 K\n", "Step 25400: Energy = -0.24, Temperature = 282.15 K\n", "Step 25500: Energy = -0.24, Temperature = 249.06 K\n", "Step 25600: Energy = -0.24, Temperature = 287.13 K\n", "Step 25700: Energy = -0.24, Temperature = 246.43 K\n", "Step 25800: Energy = -0.24, Temperature = 214.29 K\n", "Step 25900: Energy = -0.24, Temperature = 351.21 K\n", "Step 26000: Energy = -0.24, Temperature = 379.60 K\n", "Step 26100: Energy = -0.24, Temperature = 352.69 K\n", "Step 26200: Energy = -0.24, Temperature = 323.10 K\n", "Step 26300: Energy = -0.24, Temperature = 255.45 K\n", "Step 26400: Energy = -0.24, Temperature = 252.03 K\n", "Step 26500: Energy = -0.24, Temperature = 293.24 K\n", "Step 26600: Energy = -0.24, Temperature = 325.48 K\n", "Step 26700: Energy = -0.24, Temperature = 326.65 K\n", "Step 26800: Energy = -0.24, Temperature = 265.09 K\n", "Step 26900: Energy = -0.24, Temperature = 207.13 K\n", "Step 27000: Energy = -0.24, Temperature = 258.11 K\n", "Step 27100: Energy = -0.24, Temperature = 306.51 K\n", "Step 27200: Energy = -0.24, Temperature = 315.61 K\n", "Step 27300: Energy = -0.24, Temperature = 339.61 K\n", "Step 27400: Energy = -0.24, Temperature = 321.31 K\n", "Step 27500: Energy = -0.24, Temperature = 259.30 K\n", "Step 27600: Energy = -0.24, Temperature = 198.34 K\n", "Step 27700: Energy = -0.24, Temperature = 232.40 K\n", "Step 27800: Energy = -0.24, Temperature = 310.98 K\n", "Step 27900: Energy = -0.24, Temperature = 345.61 K\n", "Step 28000: Energy = -0.24, Temperature = 328.55 K\n", "Step 28100: Energy = -0.24, Temperature = 288.00 K\n", "Step 28200: Energy = -0.24, Temperature = 255.31 K\n", "Step 28300: Energy = -0.24, Temperature = 264.35 K\n", "Step 28400: Energy = -0.24, Temperature = 330.83 K\n", "Step 28500: Energy = -0.24, Temperature = 338.83 K\n", "Step 28600: Energy = -0.24, Temperature = 281.34 K\n", "Step 28700: Energy = -0.24, Temperature = 266.73 K\n", "Step 28800: Energy = -0.24, Temperature = 321.69 K\n", "Step 28900: Energy = -0.24, Temperature = 356.52 K\n", "Step 29000: Energy = -0.24, Temperature = 312.98 K\n", "Step 29100: Energy = -0.24, Temperature = 220.06 K\n", "Step 29200: Energy = -0.24, Temperature = 299.06 K\n", "Step 29300: Energy = -0.24, Temperature = 420.94 K\n", "Step 29400: Energy = -0.24, Temperature = 330.17 K\n", "Step 29500: Energy = -0.24, Temperature = 249.75 K\n", "Step 29600: Energy = -0.24, Temperature = 335.79 K\n", "Step 29700: Energy = -0.24, Temperature = 337.63 K\n", "Step 29800: Energy = -0.24, Temperature = 227.48 K\n", "Step 29900: Energy = -0.24, Temperature = 288.02 K\n", "Step 30000: Energy = -0.24, Temperature = 363.93 K\n", "Step 30100: Energy = -0.24, Temperature = 322.75 K\n", "Step 30200: Energy = -0.24, Temperature = 356.84 K\n", "Step 30300: Energy = -0.24, Temperature = 369.11 K\n", "Step 30400: Energy = -0.24, Temperature = 257.38 K\n", "Step 30500: Energy = -0.24, Temperature = 189.44 K\n", "Step 30600: Energy = -0.24, Temperature = 258.10 K\n", "Step 30700: Energy = -0.24, Temperature = 304.10 K\n", "Step 30800: Energy = -0.24, Temperature = 265.26 K\n", "Step 30900: Energy = -0.24, Temperature = 208.73 K\n", "Step 31000: Energy = -0.24, Temperature = 258.08 K\n", "Step 31100: Energy = -0.24, Temperature = 315.48 K\n", "Step 31200: Energy = -0.24, Temperature = 319.64 K\n", "Step 31300: Energy = -0.24, Temperature = 317.89 K\n", "Step 31400: Energy = -0.24, Temperature = 353.12 K\n", "Step 31500: Energy = -0.24, Temperature = 373.11 K\n", "Step 31600: Energy = -0.24, Temperature = 251.28 K\n", "Step 31700: Energy = -0.24, Temperature = 139.57 K\n", "Step 31800: Energy = -0.24, Temperature = 253.68 K\n", "Step 31900: Energy = -0.24, Temperature = 369.26 K\n", "Step 32000: Energy = -0.24, Temperature = 390.86 K\n", "Step 32100: Energy = -0.24, Temperature = 374.53 K\n", "Step 32200: Energy = -0.24, Temperature = 351.55 K\n", "Step 32300: Energy = -0.24, Temperature = 292.80 K\n", "Step 32400: Energy = -0.24, Temperature = 291.17 K\n", "Step 32500: Energy = -0.24, Temperature = 306.88 K\n", "Step 32600: Energy = -0.24, Temperature = 189.82 K\n", "Step 32700: Energy = -0.24, Temperature = 152.11 K\n", "Step 32800: Energy = -0.24, Temperature = 253.17 K\n", "Step 32900: Energy = -0.24, Temperature = 372.29 K\n", "Step 33000: Energy = -0.24, Temperature = 470.53 K\n", "Step 33100: Energy = -0.24, Temperature = 424.76 K\n", "Step 33200: Energy = -0.24, Temperature = 244.27 K\n", "Step 33300: Energy = -0.24, Temperature = 283.97 K\n", "Step 33400: Energy = -0.24, Temperature = 305.77 K\n", "Step 33500: Energy = -0.24, Temperature = 286.13 K\n", "Step 33600: Energy = -0.24, Temperature = 237.19 K\n", "Step 33700: Energy = -0.24, Temperature = 176.35 K\n", "Step 33800: Energy = -0.24, Temperature = 193.14 K\n", "Step 33900: Energy = -0.24, Temperature = 262.02 K\n", "Step 34000: Energy = -0.24, Temperature = 284.60 K\n", "Step 34100: Energy = -0.24, Temperature = 300.97 K\n", "Step 34200: Energy = -0.24, Temperature = 315.72 K\n", "Step 34300: Energy = -0.24, Temperature = 361.67 K\n", "Step 34400: Energy = -0.24, Temperature = 441.95 K\n", "Step 34500: Energy = -0.24, Temperature = 445.52 K\n", "Step 34600: Energy = -0.24, Temperature = 367.69 K\n", "Step 34700: Energy = -0.24, Temperature = 195.41 K\n", "Step 34800: Energy = -0.24, Temperature = 139.91 K\n", "Step 34900: Energy = -0.24, Temperature = 260.76 K\n", "Step 35000: Energy = -0.24, Temperature = 297.94 K\n", "Step 35100: Energy = -0.24, Temperature = 288.59 K\n", "Step 35200: Energy = -0.24, Temperature = 274.24 K\n", "Step 35300: Energy = -0.24, Temperature = 237.95 K\n", "Step 35400: Energy = -0.24, Temperature = 279.29 K\n", "Step 35500: Energy = -0.24, Temperature = 404.18 K\n", "Step 35600: Energy = -0.24, Temperature = 389.89 K\n", "Step 35700: Energy = -0.24, Temperature = 293.23 K\n", "Step 35800: Energy = -0.24, Temperature = 300.33 K\n", "Step 35900: Energy = -0.24, Temperature = 344.89 K\n", "Step 36000: Energy = -0.24, Temperature = 285.27 K\n", "Step 36100: Energy = -0.24, Temperature = 241.01 K\n", "Step 36200: Energy = -0.24, Temperature = 308.71 K\n", "Step 36300: Energy = -0.24, Temperature = 324.45 K\n", "Step 36400: Energy = -0.24, Temperature = 246.80 K\n", "Step 36500: Energy = -0.24, Temperature = 246.53 K\n", "Step 36600: Energy = -0.24, Temperature = 345.12 K\n", "Step 36700: Energy = -0.24, Temperature = 287.57 K\n", "Step 36800: Energy = -0.24, Temperature = 244.37 K\n", "Step 36900: Energy = -0.24, Temperature = 363.98 K\n", "Step 37000: Energy = -0.24, Temperature = 430.30 K\n", "Step 37100: Energy = -0.24, Temperature = 382.07 K\n", "Step 37200: Energy = -0.24, Temperature = 294.02 K\n", "Step 37300: Energy = -0.24, Temperature = 324.72 K\n", "Step 37400: Energy = -0.24, Temperature = 289.78 K\n", "Step 37500: Energy = -0.24, Temperature = 167.30 K\n", "Step 37600: Energy = -0.24, Temperature = 226.68 K\n", "Step 37700: Energy = -0.24, Temperature = 272.22 K\n", "Step 37800: Energy = -0.24, Temperature = 223.72 K\n", "Step 37900: Energy = -0.24, Temperature = 202.90 K\n", "Step 38000: Energy = -0.24, Temperature = 269.20 K\n", "Step 38100: Energy = -0.24, Temperature = 369.09 K\n", "Step 38200: Energy = -0.24, Temperature = 375.10 K\n", "Step 38300: Energy = -0.24, Temperature = 272.85 K\n", "Step 38400: Energy = -0.24, Temperature = 269.63 K\n", "Step 38500: Energy = -0.24, Temperature = 397.17 K\n", "Step 38600: Energy = -0.24, Temperature = 446.73 K\n", "Step 38700: Energy = -0.24, Temperature = 340.25 K\n", "Step 38800: Energy = -0.24, Temperature = 237.94 K\n", "Step 38900: Energy = -0.24, Temperature = 199.81 K\n", "Step 39000: Energy = -0.24, Temperature = 191.39 K\n", "Step 39100: Energy = -0.24, Temperature = 239.90 K\n", "Step 39200: Energy = -0.24, Temperature = 356.94 K\n", "Step 39300: Energy = -0.24, Temperature = 460.71 K\n", "Step 39400: Energy = -0.24, Temperature = 336.06 K\n", "Step 39500: Energy = -0.24, Temperature = 243.40 K\n", "Step 39600: Energy = -0.24, Temperature = 318.60 K\n", "Step 39700: Energy = -0.24, Temperature = 328.87 K\n", "Step 39800: Energy = -0.24, Temperature = 349.78 K\n", "Step 39900: Energy = -0.24, Temperature = 285.56 K\n", "Step 40000: Energy = -0.24, Temperature = 216.14 K\n", "Step 40100: Energy = -0.24, Temperature = 212.77 K\n", "Step 40200: Energy = -0.24, Temperature = 229.14 K\n", "Step 40300: Energy = -0.24, Temperature = 267.59 K\n", "Step 40400: Energy = -0.24, Temperature = 303.52 K\n", "Step 40500: Energy = -0.24, Temperature = 303.20 K\n", "Step 40600: Energy = -0.24, Temperature = 355.38 K\n", "Step 40700: Energy = -0.24, Temperature = 381.83 K\n", "Step 40800: Energy = -0.24, Temperature = 298.79 K\n", "Step 40900: Energy = -0.24, Temperature = 264.44 K\n", "Step 41000: Energy = -0.24, Temperature = 306.96 K\n", "Step 41100: Energy = -0.24, Temperature = 310.21 K\n", "Step 41200: Energy = -0.24, Temperature = 287.82 K\n", "Step 41300: Energy = -0.24, Temperature = 307.80 K\n", "Step 41400: Energy = -0.24, Temperature = 331.80 K\n", "Step 41500: Energy = -0.24, Temperature = 267.26 K\n", "Step 41600: Energy = -0.24, Temperature = 227.62 K\n", "Step 41700: Energy = -0.24, Temperature = 346.54 K\n", "Step 41800: Energy = -0.24, Temperature = 382.92 K\n", "Step 41900: Energy = -0.24, Temperature = 377.07 K\n", "Step 42000: Energy = -0.24, Temperature = 281.78 K\n", "Step 42100: Energy = -0.24, Temperature = 242.94 K\n", "Step 42200: Energy = -0.24, Temperature = 328.52 K\n", "Step 42300: Energy = -0.24, Temperature = 345.00 K\n", "Step 42400: Energy = -0.24, Temperature = 302.04 K\n", "Step 42500: Energy = -0.24, Temperature = 263.95 K\n", "Step 42600: Energy = -0.24, Temperature = 248.05 K\n", "Step 42700: Energy = -0.24, Temperature = 227.22 K\n", "Step 42800: Energy = -0.24, Temperature = 246.00 K\n", "Step 42900: Energy = -0.24, Temperature = 298.22 K\n", "Step 43000: Energy = -0.24, Temperature = 351.16 K\n", "Step 43100: Energy = -0.24, Temperature = 369.22 K\n", "Step 43200: Energy = -0.24, Temperature = 288.55 K\n", "Step 43300: Energy = -0.24, Temperature = 210.99 K\n", "Step 43400: Energy = -0.24, Temperature = 207.85 K\n", "Step 43500: Energy = -0.24, Temperature = 224.47 K\n", "Step 43600: Energy = -0.24, Temperature = 258.03 K\n", "Step 43700: Energy = -0.24, Temperature = 307.24 K\n", "Step 43800: Energy = -0.24, Temperature = 320.28 K\n", "Step 43900: Energy = -0.24, Temperature = 269.30 K\n", "Step 44000: Energy = -0.24, Temperature = 314.34 K\n", "Step 44100: Energy = -0.24, Temperature = 373.99 K\n", "Step 44200: Energy = -0.24, Temperature = 325.35 K\n", "Step 44300: Energy = -0.24, Temperature = 250.23 K\n", "Step 44400: Energy = -0.24, Temperature = 277.14 K\n", "Step 44500: Energy = -0.24, Temperature = 353.46 K\n", "Step 44600: Energy = -0.24, Temperature = 282.09 K\n", "Step 44700: Energy = -0.24, Temperature = 214.41 K\n", "Step 44800: Energy = -0.24, Temperature = 284.08 K\n", "Step 44900: Energy = -0.24, Temperature = 298.38 K\n", "Step 45000: Energy = -0.24, Temperature = 243.82 K\n", "Step 45100: Energy = -0.24, Temperature = 268.29 K\n", "Step 45200: Energy = -0.24, Temperature = 348.21 K\n", "Step 45300: Energy = -0.24, Temperature = 344.36 K\n", "Step 45400: Energy = -0.24, Temperature = 346.74 K\n", "Step 45500: Energy = -0.24, Temperature = 395.02 K\n", "Step 45600: Energy = -0.24, Temperature = 382.25 K\n", "Step 45700: Energy = -0.24, Temperature = 278.43 K\n", "Step 45800: Energy = -0.24, Temperature = 259.41 K\n", "Step 45900: Energy = -0.24, Temperature = 284.01 K\n", "Step 46000: Energy = -0.24, Temperature = 271.34 K\n", "Step 46100: Energy = -0.24, Temperature = 256.27 K\n", "Step 46200: Energy = -0.24, Temperature = 271.35 K\n", "Step 46300: Energy = -0.24, Temperature = 251.26 K\n", "Step 46400: Energy = -0.24, Temperature = 251.49 K\n", "Step 46500: Energy = -0.24, Temperature = 367.86 K\n", "Step 46600: Energy = -0.24, Temperature = 404.24 K\n", "Step 46700: Energy = -0.24, Temperature = 268.55 K\n", "Step 46800: Energy = -0.24, Temperature = 191.54 K\n", "Step 46900: Energy = -0.24, Temperature = 239.38 K\n", "Step 47000: Energy = -0.24, Temperature = 290.28 K\n", "Step 47100: Energy = -0.24, Temperature = 268.85 K\n", "Step 47200: Energy = -0.24, Temperature = 227.94 K\n", "Step 47300: Energy = -0.24, Temperature = 283.41 K\n", "Step 47400: Energy = -0.24, Temperature = 350.12 K\n", "Step 47500: Energy = -0.24, Temperature = 389.37 K\n", "Step 47600: Energy = -0.24, Temperature = 397.14 K\n", "Step 47700: Energy = -0.24, Temperature = 339.18 K\n", "Step 47800: Energy = -0.24, Temperature = 265.60 K\n", "Step 47900: Energy = -0.24, Temperature = 306.82 K\n", "Step 48000: Energy = -0.24, Temperature = 319.25 K\n", "Step 48100: Energy = -0.24, Temperature = 223.41 K\n", "Step 48200: Energy = -0.24, Temperature = 247.10 K\n", "Step 48300: Energy = -0.24, Temperature = 332.97 K\n", "Step 48400: Energy = -0.24, Temperature = 329.19 K\n", "Step 48500: Energy = -0.24, Temperature = 268.37 K\n", "Step 48600: Energy = -0.24, Temperature = 266.76 K\n", "Step 48700: Energy = -0.24, Temperature = 306.29 K\n", "Step 48800: Energy = -0.24, Temperature = 297.13 K\n", "Step 48900: Energy = -0.24, Temperature = 250.78 K\n", "Step 49000: Energy = -0.24, Temperature = 208.85 K\n", "Step 49100: Energy = -0.24, Temperature = 239.09 K\n", "Step 49200: Energy = -0.24, Temperature = 264.01 K\n", "Step 49300: Energy = -0.24, Temperature = 244.25 K\n", "Step 49400: Energy = -0.24, Temperature = 229.19 K\n", "Step 49500: Energy = -0.24, Temperature = 225.87 K\n", "Step 49600: Energy = -0.24, Temperature = 230.78 K\n", "Step 49700: Energy = -0.24, Temperature = 257.98 K\n", "Step 49800: Energy = -0.24, Temperature = 241.36 K\n", "Step 49900: Energy = -0.24, Temperature = 225.94 K\n", "Step 50000: Energy = -0.24, Temperature = 222.06 K\n", "Step 50100: Energy = -0.24, Temperature = 199.73 K\n", "Step 50200: Energy = -0.24, Temperature = 172.63 K\n", "Step 50300: Energy = -0.24, Temperature = 190.04 K\n", "Step 50400: Energy = -0.24, Temperature = 258.84 K\n", "Step 50500: Energy = -0.24, Temperature = 329.01 K\n", "Step 50600: Energy = -0.24, Temperature = 353.56 K\n", "Step 50700: Energy = -0.24, Temperature = 350.97 K\n", "Step 50800: Energy = -0.24, Temperature = 381.00 K\n", "Step 50900: Energy = -0.24, Temperature = 383.72 K\n", "Step 51000: Energy = -0.24, Temperature = 311.49 K\n", "Step 51100: Energy = -0.24, Temperature = 296.86 K\n", "Step 51200: Energy = -0.24, Temperature = 311.45 K\n", "Step 51300: Energy = -0.24, Temperature = 275.44 K\n", "Step 51400: Energy = -0.24, Temperature = 234.83 K\n", "Step 51500: Energy = -0.24, Temperature = 231.01 K\n", "Step 51600: Energy = -0.24, Temperature = 251.94 K\n", "Step 51700: Energy = -0.24, Temperature = 288.05 K\n", "Step 51800: Energy = -0.24, Temperature = 313.70 K\n", "Step 51900: Energy = -0.24, Temperature = 247.07 K\n", "Step 52000: Energy = -0.24, Temperature = 253.99 K\n", "Step 52100: Energy = -0.24, Temperature = 306.76 K\n", "Step 52200: Energy = -0.24, Temperature = 322.18 K\n", "Step 52300: Energy = -0.24, Temperature = 339.50 K\n", "Step 52400: Energy = -0.24, Temperature = 286.63 K\n", "Step 52500: Energy = -0.24, Temperature = 246.82 K\n", "Step 52600: Energy = -0.24, Temperature = 363.88 K\n", "Step 52700: Energy = -0.24, Temperature = 413.38 K\n", "Step 52800: Energy = -0.24, Temperature = 350.23 K\n", "Step 52900: Energy = -0.24, Temperature = 344.15 K\n", "Step 53000: Energy = -0.24, Temperature = 331.43 K\n", "Step 53100: Energy = -0.24, Temperature = 248.89 K\n", "Step 53200: Energy = -0.24, Temperature = 274.58 K\n", "Step 53300: Energy = -0.24, Temperature = 272.89 K\n", "Step 53400: Energy = -0.24, Temperature = 241.96 K\n", "Step 53500: Energy = -0.24, Temperature = 280.25 K\n", "Step 53600: Energy = -0.24, Temperature = 267.73 K\n", "Step 53700: Energy = -0.24, Temperature = 264.22 K\n", "Step 53800: Energy = -0.24, Temperature = 335.51 K\n", "Step 53900: Energy = -0.24, Temperature = 346.12 K\n", "Step 54000: Energy = -0.24, Temperature = 389.04 K\n", "Step 54100: Energy = -0.24, Temperature = 366.33 K\n", "Step 54200: Energy = -0.24, Temperature = 270.33 K\n", "Step 54300: Energy = -0.24, Temperature = 281.88 K\n", "Step 54400: Energy = -0.24, Temperature = 340.65 K\n", "Step 54500: Energy = -0.24, Temperature = 326.63 K\n", "Step 54600: Energy = -0.24, Temperature = 275.05 K\n", "Step 54700: Energy = -0.24, Temperature = 273.19 K\n", "Step 54800: Energy = -0.24, Temperature = 306.93 K\n", "Step 54900: Energy = -0.24, Temperature = 311.29 K\n", "Step 55000: Energy = -0.24, Temperature = 301.48 K\n", "Step 55100: Energy = -0.24, Temperature = 277.20 K\n", "Step 55200: Energy = -0.24, Temperature = 226.41 K\n", "Step 55300: Energy = -0.24, Temperature = 200.59 K\n", "Step 55400: Energy = -0.24, Temperature = 218.27 K\n", "Step 55500: Energy = -0.24, Temperature = 244.80 K\n", "Step 55600: Energy = -0.24, Temperature = 238.05 K\n", "Step 55700: Energy = -0.24, Temperature = 278.11 K\n", "Step 55800: Energy = -0.24, Temperature = 341.44 K\n", "Step 55900: Energy = -0.24, Temperature = 305.43 K\n", "Step 56000: Energy = -0.24, Temperature = 288.72 K\n", "Step 56100: Energy = -0.24, Temperature = 358.77 K\n", "Step 56200: Energy = -0.24, Temperature = 388.45 K\n", "Step 56300: Energy = -0.24, Temperature = 423.06 K\n", "Step 56400: Energy = -0.24, Temperature = 350.28 K\n", "Step 56500: Energy = -0.24, Temperature = 233.81 K\n", "Step 56600: Energy = -0.24, Temperature = 294.64 K\n", "Step 56700: Energy = -0.24, Temperature = 286.56 K\n", "Step 56800: Energy = -0.24, Temperature = 169.08 K\n", "Step 56900: Energy = -0.24, Temperature = 358.36 K\n", "Step 57000: Energy = -0.24, Temperature = 366.23 K\n", "Step 57100: Energy = -0.24, Temperature = 314.45 K\n", "Step 57200: Energy = -0.24, Temperature = 330.46 K\n", "Step 57300: Energy = -0.24, Temperature = 353.23 K\n", "Step 57400: Energy = -0.24, Temperature = 360.34 K\n", "Step 57500: Energy = -0.24, Temperature = 324.05 K\n", "Step 57600: Energy = -0.24, Temperature = 210.87 K\n", "Step 57700: Energy = -0.24, Temperature = 224.07 K\n", "Step 57800: Energy = -0.24, Temperature = 265.60 K\n", "Step 57900: Energy = -0.24, Temperature = 292.63 K\n", "Step 58000: Energy = -0.24, Temperature = 331.48 K\n", "Step 58100: Energy = -0.24, Temperature = 348.10 K\n", "Step 58200: Energy = -0.24, Temperature = 361.96 K\n", "Step 58300: Energy = -0.24, Temperature = 388.98 K\n", "Step 58400: Energy = -0.24, Temperature = 340.10 K\n", "Step 58500: Energy = -0.24, Temperature = 277.68 K\n", "Step 58600: Energy = -0.24, Temperature = 297.03 K\n", "Step 58700: Energy = -0.24, Temperature = 302.81 K\n", "Step 58800: Energy = -0.24, Temperature = 256.45 K\n", "Step 58900: Energy = -0.24, Temperature = 215.28 K\n", "Step 59000: Energy = -0.24, Temperature = 200.74 K\n", "Step 59100: Energy = -0.24, Temperature = 174.30 K\n", "Step 59200: Energy = -0.24, Temperature = 140.76 K\n", "Step 59300: Energy = -0.24, Temperature = 162.12 K\n", "Step 59400: Energy = -0.24, Temperature = 233.93 K\n", "Step 59500: Energy = -0.24, Temperature = 281.72 K\n", "Step 59600: Energy = -0.24, Temperature = 272.74 K\n", "Step 59700: Energy = -0.24, Temperature = 271.47 K\n", "Step 59800: Energy = -0.24, Temperature = 308.92 K\n", "Step 59900: Energy = -0.24, Temperature = 340.34 K\n", "Step 60000: Energy = -0.24, Temperature = 382.42 K\n", "Step 60100: Energy = -0.24, Temperature = 437.27 K\n", "Step 60200: Energy = -0.24, Temperature = 416.65 K\n", "Step 60300: Energy = -0.24, Temperature = 288.92 K\n", "Step 60400: Energy = -0.24, Temperature = 233.70 K\n", "Step 60500: Energy = -0.24, Temperature = 271.23 K\n", "Step 60600: Energy = -0.24, Temperature = 250.35 K\n", "Step 60700: Energy = -0.24, Temperature = 286.31 K\n", "Step 60800: Energy = -0.24, Temperature = 344.15 K\n", "Step 60900: Energy = -0.24, Temperature = 290.79 K\n", "Step 61000: Energy = -0.24, Temperature = 197.03 K\n", "Step 61100: Energy = -0.24, Temperature = 257.39 K\n", "Step 61200: Energy = -0.24, Temperature = 394.05 K\n", "Step 61300: Energy = -0.24, Temperature = 407.97 K\n", "Step 61400: Energy = -0.24, Temperature = 324.55 K\n", "Step 61500: Energy = -0.24, Temperature = 328.35 K\n", "Step 61600: Energy = -0.24, Temperature = 408.40 K\n", "Step 61700: Energy = -0.24, Temperature = 332.50 K\n", "Step 61800: Energy = -0.24, Temperature = 279.57 K\n", "Step 61900: Energy = -0.24, Temperature = 338.01 K\n", "Step 62000: Energy = -0.24, Temperature = 264.19 K\n", "Step 62100: Energy = -0.24, Temperature = 199.37 K\n", "Step 62200: Energy = -0.24, Temperature = 205.22 K\n", "Step 62300: Energy = -0.24, Temperature = 241.36 K\n", "Step 62400: Energy = -0.24, Temperature = 268.04 K\n", "Step 62500: Energy = -0.24, Temperature = 274.69 K\n", "Step 62600: Energy = -0.24, Temperature = 266.11 K\n", "Step 62700: Energy = -0.24, Temperature = 239.52 K\n", "Step 62800: Energy = -0.24, Temperature = 214.08 K\n", "Step 62900: Energy = -0.24, Temperature = 242.67 K\n", "Step 63000: Energy = -0.24, Temperature = 313.76 K\n", "Step 63100: Energy = -0.24, Temperature = 372.45 K\n", "Step 63200: Energy = -0.24, Temperature = 361.45 K\n", "Step 63300: Energy = -0.24, Temperature = 324.08 K\n", "Step 63400: Energy = -0.24, Temperature = 335.21 K\n", "Step 63500: Energy = -0.24, Temperature = 366.57 K\n", "Step 63600: Energy = -0.24, Temperature = 370.27 K\n", "Step 63700: Energy = -0.24, Temperature = 302.09 K\n", "Step 63800: Energy = -0.24, Temperature = 330.79 K\n", "Step 63900: Energy = -0.24, Temperature = 374.42 K\n", "Step 64000: Energy = -0.24, Temperature = 352.35 K\n", "Step 64100: Energy = -0.24, Temperature = 304.10 K\n", "Step 64200: Energy = -0.24, Temperature = 249.26 K\n", "Step 64300: Energy = -0.24, Temperature = 206.75 K\n", "Step 64400: Energy = -0.24, Temperature = 189.85 K\n", "Step 64500: Energy = -0.24, Temperature = 160.78 K\n", "Step 64600: Energy = -0.24, Temperature = 209.86 K\n", "Step 64700: Energy = -0.24, Temperature = 319.87 K\n", "Step 64800: Energy = -0.24, Temperature = 340.08 K\n", "Step 64900: Energy = -0.24, Temperature = 287.24 K\n", "Step 65000: Energy = -0.24, Temperature = 289.25 K\n", "Step 65100: Energy = -0.24, Temperature = 308.96 K\n", "Step 65200: Energy = -0.24, Temperature = 244.13 K\n", "Step 65300: Energy = -0.24, Temperature = 184.82 K\n", "Step 65400: Energy = -0.24, Temperature = 209.87 K\n", "Step 65500: Energy = -0.24, Temperature = 241.04 K\n", "Step 65600: Energy = -0.24, Temperature = 219.21 K\n", "Step 65700: Energy = -0.24, Temperature = 210.19 K\n", "Step 65800: Energy = -0.24, Temperature = 249.27 K\n", "Step 65900: Energy = -0.24, Temperature = 270.46 K\n", "Step 66000: Energy = -0.24, Temperature = 233.61 K\n", "Step 66100: Energy = -0.24, Temperature = 198.41 K\n", "Step 66200: Energy = -0.24, Temperature = 251.84 K\n", "Step 66300: Energy = -0.24, Temperature = 317.56 K\n", "Step 66400: Energy = -0.24, Temperature = 345.18 K\n", "Step 66500: Energy = -0.24, Temperature = 310.08 K\n", "Step 66600: Energy = -0.24, Temperature = 260.52 K\n", "Step 66700: Energy = -0.24, Temperature = 273.90 K\n", "Step 66800: Energy = -0.24, Temperature = 286.18 K\n", "Step 66900: Energy = -0.24, Temperature = 285.44 K\n", "Step 67000: Energy = -0.24, Temperature = 256.30 K\n", "Step 67100: Energy = -0.24, Temperature = 243.79 K\n", "Step 67200: Energy = -0.24, Temperature = 292.74 K\n", "Step 67300: Energy = -0.24, Temperature = 312.11 K\n", "Step 67400: Energy = -0.24, Temperature = 301.63 K\n", "Step 67500: Energy = -0.24, Temperature = 389.05 K\n", "Step 67600: Energy = -0.24, Temperature = 534.16 K\n", "Step 67700: Energy = -0.24, Temperature = 585.19 K\n", "Step 67800: Energy = -0.24, Temperature = 509.07 K\n", "Step 67900: Energy = -0.24, Temperature = 490.38 K\n", "Step 68000: Energy = -0.24, Temperature = 532.89 K\n", "Step 68100: Energy = -0.24, Temperature = 420.61 K\n", "Step 68200: Energy = -0.24, Temperature = 334.36 K\n", "Step 68300: Energy = -0.24, Temperature = 324.60 K\n", "Step 68400: Energy = -0.24, Temperature = 307.79 K\n", "Step 68500: Energy = -0.24, Temperature = 268.09 K\n", "Step 68600: Energy = -0.24, Temperature = 190.73 K\n", "Step 68700: Energy = -0.24, Temperature = 177.80 K\n", "Step 68800: Energy = -0.24, Temperature = 315.04 K\n", "Step 68900: Energy = -0.24, Temperature = 349.57 K\n", "Step 69000: Energy = -0.24, Temperature = 272.60 K\n", "Step 69100: Energy = -0.24, Temperature = 294.95 K\n", "Step 69200: Energy = -0.24, Temperature = 433.74 K\n", "Step 69300: Energy = -0.24, Temperature = 456.47 K\n", "Step 69400: Energy = -0.24, Temperature = 400.26 K\n", "Step 69500: Energy = -0.24, Temperature = 351.15 K\n", "Step 69600: Energy = -0.24, Temperature = 342.83 K\n", "Step 69700: Energy = -0.24, Temperature = 433.03 K\n", "Step 69800: Energy = -0.24, Temperature = 521.22 K\n", "Step 69900: Energy = -0.24, Temperature = 377.81 K\n", "Step 70000: Energy = -0.24, Temperature = 301.44 K\n", "Step 70100: Energy = -0.24, Temperature = 443.80 K\n", "Step 70200: Energy = -0.24, Temperature = 379.39 K\n", "Step 70300: Energy = -0.24, Temperature = 303.50 K\n", "Step 70400: Energy = -0.24, Temperature = 323.13 K\n", "Step 70500: Energy = -0.24, Temperature = 404.66 K\n", "Step 70600: Energy = -0.24, Temperature = 408.65 K\n", "Step 70700: Energy = -0.24, Temperature = 411.88 K\n", "Step 70800: Energy = -0.24, Temperature = 389.54 K\n", "Step 70900: Energy = -0.24, Temperature = 353.40 K\n", "Step 71000: Energy = -0.24, Temperature = 425.85 K\n", "Step 71100: Energy = -0.24, Temperature = 397.49 K\n", "Step 71200: Energy = -0.24, Temperature = 318.74 K\n", "Step 71300: Energy = -0.24, Temperature = 271.64 K\n", "Step 71400: Energy = -0.24, Temperature = 269.74 K\n", "Step 71500: Energy = -0.24, Temperature = 284.07 K\n", "Step 71600: Energy = -0.24, Temperature = 283.70 K\n", "Step 71700: Energy = -0.24, Temperature = 344.66 K\n", "Step 71800: Energy = -0.24, Temperature = 419.34 K\n", "Step 71900: Energy = -0.24, Temperature = 487.55 K\n", "Step 72000: Energy = -0.24, Temperature = 543.66 K\n", "Step 72100: Energy = -0.24, Temperature = 456.11 K\n", "Step 72200: Energy = -0.24, Temperature = 396.67 K\n", "Step 72300: Energy = -0.24, Temperature = 474.33 K\n", "Step 72400: Energy = -0.24, Temperature = 504.58 K\n", "Step 72500: Energy = -0.24, Temperature = 439.37 K\n", "Step 72600: Energy = -0.24, Temperature = 281.16 K\n", "Step 72700: Energy = -0.24, Temperature = 220.10 K\n", "Step 72800: Energy = -0.24, Temperature = 318.60 K\n", "Step 72900: Energy = -0.24, Temperature = 371.62 K\n", "Step 73000: Energy = -0.24, Temperature = 310.42 K\n", "Step 73100: Energy = -0.24, Temperature = 212.75 K\n", "Step 73200: Energy = -0.24, Temperature = 210.45 K\n", "Step 73300: Energy = -0.24, Temperature = 271.97 K\n", "Step 73400: Energy = -0.24, Temperature = 288.34 K\n", "Step 73500: Energy = -0.24, Temperature = 321.15 K\n", "Step 73600: Energy = -0.24, Temperature = 378.05 K\n", "Step 73700: Energy = -0.24, Temperature = 389.89 K\n", "Step 73800: Energy = -0.24, Temperature = 431.34 K\n", "Step 73900: Energy = -0.24, Temperature = 472.30 K\n", "Step 74000: Energy = -0.24, Temperature = 475.10 K\n", "Step 74100: Energy = -0.24, Temperature = 454.56 K\n", "Step 74200: Energy = -0.24, Temperature = 440.08 K\n", "Step 74300: Energy = -0.24, Temperature = 369.55 K\n", "Step 74400: Energy = -0.24, Temperature = 323.82 K\n", "Step 74500: Energy = -0.24, Temperature = 323.29 K\n", "Step 74600: Energy = -0.24, Temperature = 284.28 K\n", "Step 74700: Energy = -0.24, Temperature = 318.52 K\n", "Step 74800: Energy = -0.24, Temperature = 443.12 K\n", "Step 74900: Energy = -0.24, Temperature = 507.64 K\n", "Step 75000: Energy = -0.24, Temperature = 349.70 K\n", "Step 75100: Energy = -0.24, Temperature = 316.17 K\n", "Step 75200: Energy = -0.24, Temperature = 433.22 K\n", "Step 75300: Energy = -0.24, Temperature = 431.14 K\n", "Step 75400: Energy = -0.24, Temperature = 365.15 K\n", "Step 75500: Energy = -0.24, Temperature = 349.05 K\n", "Step 75600: Energy = -0.24, Temperature = 383.90 K\n", "Step 75700: Energy = -0.24, Temperature = 413.91 K\n", "Step 75800: Energy = -0.24, Temperature = 390.64 K\n", "Step 75900: Energy = -0.24, Temperature = 314.10 K\n", "Step 76000: Energy = -0.24, Temperature = 365.63 K\n", "Step 76100: Energy = -0.24, Temperature = 444.27 K\n", "Step 76200: Energy = -0.24, Temperature = 458.75 K\n", "Step 76300: Energy = -0.24, Temperature = 459.00 K\n", "Step 76400: Energy = -0.24, Temperature = 390.57 K\n", "Step 76500: Energy = -0.24, Temperature = 269.96 K\n", "Step 76600: Energy = -0.24, Temperature = 324.42 K\n", "Step 76700: Energy = -0.24, Temperature = 412.59 K\n", "Step 76800: Energy = -0.24, Temperature = 362.47 K\n", "Step 76900: Energy = -0.24, Temperature = 274.32 K\n", "Step 77000: Energy = -0.24, Temperature = 311.73 K\n", "Step 77100: Energy = -0.24, Temperature = 415.85 K\n", "Step 77200: Energy = -0.24, Temperature = 411.46 K\n", "Step 77300: Energy = -0.24, Temperature = 329.53 K\n", "Step 77400: Energy = -0.24, Temperature = 417.69 K\n", "Step 77500: Energy = -0.24, Temperature = 453.31 K\n", "Step 77600: Energy = -0.24, Temperature = 444.92 K\n", "Step 77700: Energy = -0.24, Temperature = 409.55 K\n", "Step 77800: Energy = -0.24, Temperature = 328.43 K\n", "Step 77900: Energy = -0.24, Temperature = 294.33 K\n", "Step 78000: Energy = -0.24, Temperature = 315.85 K\n", "Step 78100: Energy = -0.24, Temperature = 328.06 K\n", "Step 78200: Energy = -0.24, Temperature = 385.56 K\n", "Step 78300: Energy = -0.24, Temperature = 494.17 K\n", "Step 78400: Energy = -0.24, Temperature = 411.94 K\n", "Step 78500: Energy = -0.24, Temperature = 228.45 K\n", "Step 78600: Energy = -0.24, Temperature = 403.43 K\n", "Step 78700: Energy = -0.24, Temperature = 472.74 K\n", "Step 78800: Energy = -0.24, Temperature = 449.99 K\n", "Step 78900: Energy = -0.24, Temperature = 401.04 K\n", "Step 79000: Energy = -0.24, Temperature = 371.21 K\n", "Step 79100: Energy = -0.24, Temperature = 362.67 K\n", "Step 79200: Energy = -0.24, Temperature = 278.12 K\n", "Step 79300: Energy = -0.24, Temperature = 222.08 K\n", "Step 79400: Energy = -0.24, Temperature = 313.03 K\n", "Step 79500: Energy = -0.24, Temperature = 438.19 K\n", "Step 79600: Energy = -0.24, Temperature = 469.86 K\n", "Step 79700: Energy = -0.24, Temperature = 426.34 K\n", "Step 79800: Energy = -0.24, Temperature = 369.14 K\n", "Step 79900: Energy = -0.24, Temperature = 329.97 K\n", "Step 80000: Energy = -0.24, Temperature = 444.95 K\n", "Step 80100: Energy = -0.24, Temperature = 492.08 K\n", "Step 80200: Energy = -0.24, Temperature = 414.92 K\n", "Step 80300: Energy = -0.24, Temperature = 440.91 K\n", "Step 80400: Energy = -0.24, Temperature = 486.28 K\n", "Step 80500: Energy = -0.24, Temperature = 493.26 K\n", "Step 80600: Energy = -0.24, Temperature = 435.29 K\n", "Step 80700: Energy = -0.24, Temperature = 360.74 K\n", "Step 80800: Energy = -0.24, Temperature = 289.21 K\n", "Step 80900: Energy = -0.24, Temperature = 257.61 K\n", "Step 81000: Energy = -0.24, Temperature = 279.04 K\n", "Step 81100: Energy = -0.24, Temperature = 308.88 K\n", "Step 81200: Energy = -0.24, Temperature = 344.08 K\n", "Step 81300: Energy = -0.24, Temperature = 299.91 K\n", "Step 81400: Energy = -0.24, Temperature = 247.63 K\n", "Step 81500: Energy = -0.24, Temperature = 268.74 K\n", "Step 81600: Energy = -0.24, Temperature = 296.49 K\n", "Step 81700: Energy = -0.24, Temperature = 318.74 K\n", "Step 81800: Energy = -0.24, Temperature = 318.40 K\n", "Step 81900: Energy = -0.24, Temperature = 268.09 K\n", "Step 82000: Energy = -0.24, Temperature = 171.38 K\n", "Step 82100: Energy = -0.24, Temperature = 149.71 K\n", "Step 82200: Energy = -0.24, Temperature = 215.45 K\n", "Step 82300: Energy = -0.24, Temperature = 242.50 K\n", "Step 82400: Energy = -0.24, Temperature = 272.52 K\n", "Step 82500: Energy = -0.24, Temperature = 287.02 K\n", "Step 82600: Energy = -0.24, Temperature = 228.87 K\n", "Step 82700: Energy = -0.24, Temperature = 207.14 K\n", "Step 82800: Energy = -0.24, Temperature = 279.26 K\n", "Step 82900: Energy = -0.24, Temperature = 374.33 K\n", "Step 83000: Energy = -0.24, Temperature = 385.68 K\n", "Step 83100: Energy = -0.24, Temperature = 332.49 K\n", "Step 83200: Energy = -0.24, Temperature = 309.64 K\n", "Step 83300: Energy = -0.24, Temperature = 340.36 K\n", "Step 83400: Energy = -0.24, Temperature = 368.82 K\n", "Step 83500: Energy = -0.24, Temperature = 400.56 K\n", "Step 83600: Energy = -0.24, Temperature = 450.95 K\n", "Step 83700: Energy = -0.24, Temperature = 488.37 K\n", "Step 83800: Energy = -0.24, Temperature = 519.22 K\n", "Step 83900: Energy = -0.24, Temperature = 536.77 K\n", "Step 84000: Energy = -0.24, Temperature = 454.97 K\n", "Step 84100: Energy = -0.24, Temperature = 382.07 K\n", "Step 84200: Energy = -0.24, Temperature = 399.79 K\n", "Step 84300: Energy = -0.24, Temperature = 389.35 K\n", "Step 84400: Energy = -0.24, Temperature = 327.32 K\n", "Step 84500: Energy = -0.24, Temperature = 260.72 K\n", "Step 84600: Energy = -0.24, Temperature = 234.67 K\n", "Step 84700: Energy = -0.24, Temperature = 271.05 K\n", "Step 84800: Energy = -0.24, Temperature = 311.07 K\n", "Step 84900: Energy = -0.24, Temperature = 292.09 K\n", "Step 85000: Energy = -0.24, Temperature = 338.08 K\n", "Step 85100: Energy = -0.24, Temperature = 433.59 K\n", "Step 85200: Energy = -0.24, Temperature = 426.25 K\n", "Step 85300: Energy = -0.24, Temperature = 384.68 K\n", "Step 85400: Energy = -0.24, Temperature = 417.67 K\n", "Step 85500: Energy = -0.24, Temperature = 436.55 K\n", "Step 85600: Energy = -0.24, Temperature = 497.70 K\n", "Step 85700: Energy = -0.24, Temperature = 511.30 K\n", "Step 85800: Energy = -0.24, Temperature = 369.66 K\n", "Step 85900: Energy = -0.24, Temperature = 351.83 K\n", "Step 86000: Energy = -0.24, Temperature = 349.41 K\n", "Step 86100: Energy = -0.24, Temperature = 285.25 K\n", "Step 86200: Energy = -0.24, Temperature = 250.56 K\n", "Step 86300: Energy = -0.24, Temperature = 284.84 K\n", "Step 86400: Energy = -0.24, Temperature = 370.60 K\n", "Step 86500: Energy = -0.24, Temperature = 467.33 K\n", "Step 86600: Energy = -0.24, Temperature = 453.76 K\n", "Step 86700: Energy = -0.24, Temperature = 278.02 K\n", "Step 86800: Energy = -0.24, Temperature = 359.21 K\n", "Step 86900: Energy = -0.24, Temperature = 597.70 K\n", "Step 87000: Energy = -0.24, Temperature = 529.54 K\n", "Step 87100: Energy = -0.24, Temperature = 382.03 K\n", "Step 87200: Energy = -0.24, Temperature = 297.39 K\n", "Step 87300: Energy = -0.24, Temperature = 278.43 K\n", "Step 87400: Energy = -0.24, Temperature = 280.99 K\n", "Step 87500: Energy = -0.24, Temperature = 268.55 K\n", "Step 87600: Energy = -0.24, Temperature = 377.98 K\n", "Step 87700: Energy = -0.24, Temperature = 528.03 K\n", "Step 87800: Energy = -0.24, Temperature = 499.02 K\n", "Step 87900: Energy = -0.24, Temperature = 347.01 K\n", "Step 88000: Energy = -0.24, Temperature = 415.80 K\n", "Step 88100: Energy = -0.24, Temperature = 485.49 K\n", "Step 88200: Energy = -0.24, Temperature = 359.15 K\n", "Step 88300: Energy = -0.24, Temperature = 290.52 K\n", "Step 88400: Energy = -0.24, Temperature = 343.94 K\n", "Step 88500: Energy = -0.24, Temperature = 304.24 K\n", "Step 88600: Energy = -0.24, Temperature = 247.42 K\n", "Step 88700: Energy = -0.24, Temperature = 281.70 K\n", "Step 88800: Energy = -0.24, Temperature = 384.48 K\n", "Step 88900: Energy = -0.24, Temperature = 428.87 K\n", "Step 89000: Energy = -0.24, Temperature = 373.32 K\n", "Step 89100: Energy = -0.24, Temperature = 337.69 K\n", "Step 89200: Energy = -0.24, Temperature = 395.56 K\n", "Step 89300: Energy = -0.24, Temperature = 431.78 K\n", "Step 89400: Energy = -0.24, Temperature = 333.42 K\n", "Step 89500: Energy = -0.24, Temperature = 433.83 K\n", "Step 89600: Energy = -0.24, Temperature = 498.59 K\n", "Step 89700: Energy = -0.24, Temperature = 444.40 K\n", "Step 89800: Energy = -0.24, Temperature = 388.88 K\n", "Step 89900: Energy = -0.24, Temperature = 403.90 K\n", "Step 90000: Energy = -0.24, Temperature = 373.56 K\n", "Step 90100: Energy = -0.24, Temperature = 302.23 K\n", "Step 90200: Energy = -0.24, Temperature = 334.25 K\n", "Step 90300: Energy = -0.24, Temperature = 395.05 K\n", "Step 90400: Energy = -0.24, Temperature = 374.29 K\n", "Step 90500: Energy = -0.24, Temperature = 299.72 K\n", "Step 90600: Energy = -0.24, Temperature = 288.99 K\n", "Step 90700: Energy = -0.24, Temperature = 303.42 K\n", "Step 90800: Energy = -0.24, Temperature = 310.27 K\n", "Step 90900: Energy = -0.24, Temperature = 326.98 K\n", "Step 91000: Energy = -0.24, Temperature = 297.33 K\n", "Step 91100: Energy = -0.24, Temperature = 345.48 K\n", "Step 91200: Energy = -0.24, Temperature = 409.31 K\n", "Step 91300: Energy = -0.24, Temperature = 409.54 K\n", "Step 91400: Energy = -0.24, Temperature = 366.80 K\n", "Step 91500: Energy = -0.24, Temperature = 335.72 K\n", "Step 91600: Energy = -0.24, Temperature = 439.87 K\n", "Step 91700: Energy = -0.24, Temperature = 558.27 K\n", "Step 91800: Energy = -0.24, Temperature = 569.96 K\n", "Step 91900: Energy = -0.24, Temperature = 537.13 K\n", "Step 92000: Energy = -0.24, Temperature = 415.82 K\n", "Step 92100: Energy = -0.24, Temperature = 337.83 K\n", "Step 92200: Energy = -0.24, Temperature = 347.37 K\n", "Step 92300: Energy = -0.24, Temperature = 329.81 K\n", "Step 92400: Energy = -0.24, Temperature = 280.34 K\n", "Step 92500: Energy = -0.24, Temperature = 241.27 K\n", "Step 92600: Energy = -0.24, Temperature = 255.12 K\n", "Step 92700: Energy = -0.24, Temperature = 254.95 K\n", "Step 92800: Energy = -0.24, Temperature = 285.01 K\n", "Step 92900: Energy = -0.24, Temperature = 334.96 K\n", "Step 93000: Energy = -0.24, Temperature = 370.93 K\n", "Step 93100: Energy = -0.24, Temperature = 409.09 K\n", "Step 93200: Energy = -0.24, Temperature = 360.85 K\n", "Step 93300: Energy = -0.24, Temperature = 317.32 K\n", "Step 93400: Energy = -0.24, Temperature = 372.90 K\n", "Step 93500: Energy = -0.24, Temperature = 431.09 K\n", "Step 93600: Energy = -0.24, Temperature = 474.71 K\n", "Step 93700: Energy = -0.24, Temperature = 416.56 K\n", "Step 93800: Energy = -0.24, Temperature = 260.96 K\n", "Step 93900: Energy = -0.24, Temperature = 433.31 K\n", "Step 94000: Energy = -0.24, Temperature = 561.06 K\n", "Step 94100: Energy = -0.24, Temperature = 481.21 K\n", "Step 94200: Energy = -0.24, Temperature = 477.71 K\n", "Step 94300: Energy = -0.24, Temperature = 388.40 K\n", "Step 94400: Energy = -0.24, Temperature = 346.41 K\n", "Step 94500: Energy = -0.24, Temperature = 338.98 K\n", "Step 94600: Energy = -0.24, Temperature = 223.34 K\n", "Step 94700: Energy = -0.24, Temperature = 176.46 K\n", "Step 94800: Energy = -0.24, Temperature = 301.18 K\n", "Step 94900: Energy = -0.24, Temperature = 415.24 K\n", "Step 95000: Energy = -0.24, Temperature = 448.21 K\n", "Step 95100: Energy = -0.24, Temperature = 422.78 K\n", "Step 95200: Energy = -0.24, Temperature = 301.20 K\n", "Step 95300: Energy = -0.24, Temperature = 279.58 K\n", "Step 95400: Energy = -0.24, Temperature = 425.87 K\n", "Step 95500: Energy = -0.24, Temperature = 416.36 K\n", "Step 95600: Energy = -0.24, Temperature = 355.84 K\n", "Step 95700: Energy = -0.24, Temperature = 432.73 K\n", "Step 95800: Energy = -0.24, Temperature = 475.75 K\n", "Step 95900: Energy = -0.24, Temperature = 368.54 K\n", "Step 96000: Energy = -0.24, Temperature = 292.24 K\n", "Step 96100: Energy = -0.24, Temperature = 317.19 K\n", "Step 96200: Energy = -0.24, Temperature = 315.73 K\n", "Step 96300: Energy = -0.24, Temperature = 317.59 K\n", "Step 96400: Energy = -0.24, Temperature = 313.88 K\n", "Step 96500: Energy = -0.24, Temperature = 302.66 K\n", "Step 96600: Energy = -0.24, Temperature = 343.45 K\n", "Step 96700: Energy = -0.24, Temperature = 435.57 K\n", "Step 96800: Energy = -0.24, Temperature = 452.78 K\n", "Step 96900: Energy = -0.24, Temperature = 380.46 K\n", "Step 97000: Energy = -0.24, Temperature = 369.84 K\n", "Step 97100: Energy = -0.24, Temperature = 398.83 K\n", "Step 97200: Energy = -0.24, Temperature = 449.85 K\n", "Step 97300: Energy = -0.24, Temperature = 462.29 K\n", "Step 97400: Energy = -0.24, Temperature = 422.17 K\n", "Step 97500: Energy = -0.24, Temperature = 368.39 K\n", "Step 97600: Energy = -0.24, Temperature = 253.27 K\n", "Step 97700: Energy = -0.24, Temperature = 199.29 K\n", "Step 97800: Energy = -0.24, Temperature = 434.48 K\n", "Step 97900: Energy = -0.24, Temperature = 529.95 K\n", "Step 98000: Energy = -0.24, Temperature = 444.95 K\n", "Step 98100: Energy = -0.24, Temperature = 386.94 K\n", "Step 98200: Energy = -0.24, Temperature = 304.04 K\n", "Step 98300: Energy = -0.24, Temperature = 351.53 K\n", "Step 98400: Energy = -0.24, Temperature = 418.56 K\n", "Step 98500: Energy = -0.24, Temperature = 409.90 K\n", "Step 98600: Energy = -0.24, Temperature = 357.95 K\n", "Step 98700: Energy = -0.24, Temperature = 305.63 K\n", "Step 98800: Energy = -0.24, Temperature = 275.71 K\n", "Step 98900: Energy = -0.24, Temperature = 303.53 K\n", "Step 99000: Energy = -0.24, Temperature = 428.40 K\n", "Step 99100: Energy = -0.24, Temperature = 468.50 K\n", "Step 99200: Energy = -0.24, Temperature = 378.49 K\n", "Step 99300: Energy = -0.24, Temperature = 323.98 K\n", "Step 99400: Energy = -0.24, Temperature = 346.12 K\n", "Step 99500: Energy = -0.24, Temperature = 327.05 K\n", "Step 99600: Energy = -0.24, Temperature = 285.39 K\n", "Step 99700: Energy = -0.24, Temperature = 310.25 K\n", "Step 99800: Energy = -0.24, Temperature = 374.75 K\n", "Step 99900: Energy = -0.24, Temperature = 456.81 K\n" ] } ], "source": [ "steps_plot, positions_list_prod, velocities_list_prod, temperature_list_prod, energy_list_prod = velocity_verlet(equilibrated_pos, equilibrated_vel, L, dt, thermostat=False, stride=stride)\n", "positions_list_prod = np.array(positions_list_prod)\n", "velocities_list_prod = np.array(velocities_list_prod)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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XM2fOxMtf/nJcffXVifV32mknnHTSSfjQhz6E2bNn4+Mf/zgA4JxzzsH222+P6dOn453vfCdOP/10bLbZZol1//CHP2DvvffGyMgInve85+GEE05AGIa6XQB45zvfCc/z9N8206ZNS/R/aGgI06dP13+PjIzgE5/4BLbeemvMnj0bb3jDG7Bw4UK9/vHHH4+99toLP//5z7HDDjtg5syZ+PSnP40oinDqqadi3rx52GabbXDyyScntut5Hn784x/jrW99K6ZNm4bnPe95+N3vfpdYZtmyZXjPe96DzTbbDFtssQXe8Y53JLxnhx9+OA466CCcfPLJ2G677bDLLrsAAH75y19in332waxZszBv3jwceuihuqj1kiVL8PrXvx4AsPnmm8PzPBx++OH6eH33u99N9GGvvfZKeByp329/+9sxY8YMvV9F54FhGIZR7Pft/8Nvbls60d1gJiFcx4opAxtW3WL9+vx/Y2Pll924sdyyXWJ0dBRve9vbcM011+Cuu+7CW97yFhx44IFYujT5YjnttNOw55574q677sI3vvEN3HjjjfjkJz+Jo446Cv/4xz/wpje9KWWc3HDDDfjQhz6Eo446Cvfddx/OPvtsnHfeeXq52267DQBw7rnnYsWKFfrvKrz73e/GqlWrcPnll+OOO+7A3nvvjTe+8Y145pln9DKLFy/G5ZdfjiuuuAK//vWv8bOf/QwHHHAAli9fjuuuuw7/9V//hWOOOQa33nprou1vfOMbOOSQQ7Bw4UIcdthheN/73of7778fgPIELViwALNmzcINN9yAG2+8ETNnzsRb3vIWNBoN3cY111yDRYsW4aqrrsKll16q1z3ppJOwcOFC/P73v8eSJUu08bT99tvjf//3fwEAixYtwooVK/C9732v0jE5/vjj8c53vhP33HMP/t//+38tzwPDMAyjeGz1Rlzxz5UT3Q1mEqLrWLHLiilCMinWrFkjAcg1a9akftu4caO877775MaNG5M/APn/3va25LLTp+cv+7rXJZfdaqvs5drk3HPPlXPmzClc5sUvfrH8wQ9+oP/ecccd5UEHHZRY5r3vfa884IADEt8ddthhibbf+MY3ym9961uJZX75y1/KbbfdVv8NQF5yySWl+/+6171OHnXUUVJKKW+44QY5e/ZsOTY2lljm+c9/vjz77LOllFIed9xxcvr06XLt2rX69wULFsiddtpJRlGkv9tll13kKaeckujXJz/5yUS7r3jFK+SnPvUpvR+77LKLFELo38fHx+W0adPkX/7yFymllB/+8Ifl3Llz5fj4eOE+3XbbbRKAXLdunZRSyr/+9a8SgHz22WcTy+24447yjDPOSHy35557yuOOOy7R789//vOJZcqcB5vca5xhGGYTZ8evXCo/8NNbJrobzCTknOsXyx2/cqlcsZrfjVORItvAhnOspjijo6M4/vjj8ec//xkrVqxAGIbYuHFjymO1zz77JP5etGgR3vnOdya++7d/+zftlQGAhQsX4sYbb0x4RqIowtjYGDZs2IDp06d31PeFCxdidHQUW265ZeL7jRs3YvHixfrvnXbaCbNmzdJ/z507F0EQwPf9xHcUjkfsu+++qb//8Y9/6G0/9NBDiXYBVQPK3vbuu++eyqu64447cPzxx2PhwoV49tlnIYQAACxduhS77bZb2d3PxT1XvT4PDMMwmxIkUsAwWXAoIFMEG1bdYnQ0/7cgSP7tDOAT+E50Zo8V7774xS/iqquuwmmnnYYXvOAFmDZtGt71rnclwtkAYMaMGZXbHh0dxQknnICDDz449Vs3Cs+Ojo5i2223xbXXXpv6zc71csUbPM/L/I4MnLLbftnLXoYLLrgg9ZstpuEet/Xr12PBggVYsGABLrjgAmy99dZYunQpFixYkDrmLr7vp9SIms1majl3m70+DwzDMJsSNZ8NKyYfNqyYItiw6hZVDI9eLdsGN954Iw4//HDtfRodHS0lX77LLrukcqLcv/fee28sWrQIL3jBC3LbqdfriKKoesfj9leuXIlarZYpfNEpt9xyCz70oQ8l/n7pS1+qt/2b3/wG22yzTWEFbpd//etfePrpp/Htb38b22+/PQDg9ttvTyxDHi73uGy99dYJhce1a9fikUceabnNMueBYRiGUQRsWDEFVJiDZaYgLF4xxdl5551x8cUX4x//+AcWLlyIQw89tJTn5rOf/Swuu+wynH766XjwwQdx9tln4/LLL9eVyQHg2GOPxS9+8QuccMIJuPfee3H//ffjwgsvxDHHHKOX2WmnnXDNNddg5cqVePbZZyv1ff/998e+++6Lgw46CFdeeSWWLFmCm266CV//+tdTxko7XHTRRfj5z3+OBx54AMcddxz+/ve/4zOf+QwA4LDDDsNWW22Fd7zjHbjhhhvwyCOP4Nprr8XnPvc5LF++PLfNHXbYAUNDQ/jBD36Ahx9+GH/84x9x0kknJZbZcccd4XkeLr30Ujz55JMYjb2hb3jDG/DLX/4SN9xwA+655x58+MMfRuB6QzMocx4YhmEYRS1gw4pJQ44q9lgxRbBhNcU5/fTTsfnmm+NVr3oVDjzwQCxYsAB77713y/X2228/nHXWWTj99NOx55574oorrsDRRx+dCC1bsGABLr30Ulx55ZV4+ctfjle+8pU444wzsOOOO+plvvOd7+Cqq67C9ttvr71BZfE8D5dddhle+9rX4iMf+Qhe+MIX4n3vex8effRRzJ07t1JbWZxwwgm48MILsccee+AXv/gFfv3rX+scqOnTp+P666/HDjvsgIMPPhi77rorjjjiCIyNjRV6sLbeemucd955uOiii7Dbbrvh29/+Nk477bTEMs95znNwwgkn4Ktf/Srmzp2rjbmvfe1reN3rXof/+I//wAEHHICDDjoIz3/+81vuR5nzwDAMwzBMPhLKoGLDiinCk27SBoO1a9dizpw5WLNmTWqQPDY2hkceeQTz58/n/BSHj33sY/jXv/6FG264YaK70jGe5+GSSy7BQQcdNNFd6Tt8jTMMMxWRUmL+1y7DghfPxdkf3Kf1CsyU4uzrFuOUy/+Fq7/wOrxgm5kT3R2mzxTZBjacY8W0zWmnnYY3velNmDFjBi6//HKcf/75+NGPfjTR3WIYhmGYygiZ/GQYG7os2GPFFMGGFdM2f//733Hqqadi3bp1eN7znofvf//7+OhHPzrR3WIYhmGYytCAmQvAMkWwYcUUwYYV0za//e1vJ7oLPYMjZBmGYaYW9NiP+PnPZKDFK1gVkCmAxSsYhmEYhpnykCciYo8VkwGLVzBlYMOKYRiGYZgpD42XedzMZDGZ5NafGh2f6C4wObBh1SYcKsZsqvC1zTDMVIQ8EhL8DGTymWiH5tKnN2Cfb16NJ9aOTWxHmEzYsKoIFWRtNBoT3BOG6Q10bZcpPswwDLOpMNEDZmZyQ5OOEz35uHz1BgDAQ6tGJ7QfTDYsXlGRWq2G6dOn48knn0S9Xofvs23KbDoIIfDkk09i+vTpqNX48cAwzNRB6IHzBHeEmdRMtAH+1Kia/Fy5hj1WkxEeOVXE8zxsu+22eOSRR/Doo49OdHcYpuv4vo8ddtgBnudNdFcYhmH6BudYMUWY62JiL5CxRgQAGB0PJ7QfTDZsWLXB0NAQdt55Zw4HZDZJhoaG2BPLMMyUY6JDvJjJjSkQPKHdQDPWe1/fYMNqMsKGVZv4vo+RkZGJ7gbDMAzDMF2ABswsXsFkMVk8mmGkOrBhPJrYjjCZ8LQ0wzAMwzBTHsk5VkwBWjVygi+QZtSZx2qsGWH1Bo646hVsWDEMwzAMM+WZ6BAvZnJj6lhNbD+asceKPFdV+cQv78BeJ17VzS4xFmxYMQzDMAwz5dEeqwnuBzM5kfpzYq+QMPZYkeeqKg88sa6b3WEc2LBiGIZhGGbKM0lE35jJzkR7rGKXWbNNj1Xgs+JvL2HDimEYhmGYKY+uYzXRI2dmchJfHxMdCtipx4rpLWxYMQzDMAwz5Zksqm/M5GSyhAI22bCa1LBhxTAMwzDMlEdojwRbVkyaySReMVTz2w4F5Mu7t7BhxTAMwzDMlIcGnG2OV5lNnMkitx4KgelDAXusJilsWDEMwzAMM+UxoYBsWTFp9PUxsd1AGElMqwcIRXuGlcfaFT2FDSuGYRiGYaY8FAIYTXSsFzOpmWjDuxlJTBsK0Az5Op2MsGHFMAzDMMyUR0wS1TdmcqLFKyZaFVAIjNTa91hNdP83ddiwYhiGYRhmymMGzjzyZNJMFtVIIYF64HEu4CSFDSuGYRiGYaY8kkMBmQJIvGKiVSOFlKgFPkSb1ynnWPUWNqwYhmEYhpnyCC2nzYYVk8EkEa+ABALf4wmASQobVgzDMAzDTHkmS50iZnIyWUJFhZSoB17bEwA8b9Bb2LBiGIZhGGbKwwWCmTJM9OUhJRD4PnusJilsWDEMwzAMM+Vhw4opgjxVE311CClR99v3WHGOVW9hw4phGIZhmCmPDgVsT8W6Ix5aNYqr7nui/xtmSiMnSQ6eiHOs2GE1OWHDimEYhmGYKc9EDpw/8cvb8bFf3N737TLlyatjFQmJZtRPa1yiFrB4xWSFDSuGYRiGYaY8guXWNxnWbGx23diROaqAn7vwLrz+tGu7uq0ihARqHeRY+RwL2FPYsGIYhmEYZspDw9SJsKtqPg/HusmeJ1yJ//7Loq62SXWsXFXAv/xzJZY/u7Gr2yrsh5SodZBj5bNd1VP4TmYYhmEYZsozkeIVtYBHu93m+gee7Em77uXh99lSERIdhQKyx6q3sGHFMAzDMMyUR06gYcWD3clPXg5e0OdzJ6Hk1tv2rPKl1lPYsGIYhmEYZspjVAEl1mxoohFOgDwg0zV6ZaxOtBq/7LBAMBvxvYUNK4ZhGIZhpjxCms89T7wSX/rdwontENMR3bYf8upY9dvDKaRE4HcSCqg+3VwxpjuwYcUwDMMwzJTHDQX814p1fds2OxG6T9cNq/jTNaT6bZ9ICdQDH6LDHCu2q3oDG1YMwzAMw0x5aJxKnoCJLgTLdEa3Q9705eBcFhPmsepwu52uX5b7Hl/bl+1MFtiwYhiGYRhmyiOlhOeZAXTYR911dlh1n1qX1fq03LpjWfXbsJJS7VunqoD9qNc21ozwtu/fgPtXTB3jig0rhmEYhmGmPBLxgJVyadhjNZDQeasF5Ye4qzc0cOAP/lZqWdce6XfdMxkXCG738qSSaf0wCDc2IgBAGE2de4kNK4ZhGIZhpjwUYsUhgIPNeKzmWK9QG+zBVaO457E1GA+j3GXospjoy0NCqjpWbXbEi/2j/TAIIzn1wmrZsGIYhmEYZsojOvQEMJMDMqwCv/wQtx57t8YLJPbzxCv6jeg4FFB99iMUUEzBfEU2rBiGYRiGmfLI2GM1IbAsYNeg+mMVHFY6xy0qCFnTHqs2+9Ut7Ou0HWVAz2t/3aqwx4phGIZhGGYKQqIAzGDTjJRhVUUVkBYtFiyZHLGAQhoPWzvhgHSJ98PYIa8Y51gxDMMwDMNMIYRUuSuEx16kgYQMqyqGA+UdFYXHUXP9FqtI98N4rNoJ56Pruh9y6xOhsDnRsGHFMAzDMMyUh9TWJgIy4ViJsHMoFLDKYJ4k1EORn2Oll53gcyRhhDna8Tppj1XrXe0YMvzI2J0KsGHFMAzDMMyUR0xkjpXuw4RufpOg0YbHigyAMh6riT5F6jqNQwHb8Vihfx4rzrFiGIZhGIaZgpDaGtFPE8vro1Lbpg55rKocSxr4F3m5yKvlLtLviFEpASrR1c7Vovejn6qAU8dhxYYVwzAMwzAM0JnH6pK7lmN0POyoB1NpZr9XNKPqg3mKVCvlsXLOUb99nEIaYY5OLpe+iFfE2+iHd2yywIYVwzAMwzBTHiHRkWF19G8W4vyblnTUB/ZYdQ7l85TJlyLK5ALRmZloG0FKqXMB28n3olX6U8eKtjl1rms2rBiGYRiGmfK4qoD9dEUYxbmpMwDtFToUsMKhpONedPhNjpXjsepzLKAdCtiObdTPQsdC51j1fFOTBjasGIZhGIaZ8qgBa2fDonbrYJnBbkebZ2CJV1Q4mOS9KWNrTLTtK6S0QgHb8Vj1z9gpIwqyqcGGFcMwDMMwUx4hZduGEQ3i2w4l1B6TqTMA7RXtiFeUUa/LE6/oNxLmOuvEY9UPY4dVARmGYRiGYaYovteeylszTiZpNyxssuTvbApQnlQlVUBRwgDICQXsN0JK+H4nHiv12Q/DSpYIsdzUYMOKYRiGYZgpj5ASnufp1Cq/gpGkc6TaHKxyjlX30IZVG3Wsik5fnvHb98pnVlmA9uTW48++hALS59S5rtmwYhiGYRhmyiOE8ljRELBKVF+nBtFkCTPbFGiEAiN1v5KRK0qEYspJEq4ppETgefr/lemjBHpUxhO4icGGFcMwDMMwUx4JwIOnZ/K9Cr6ITg2iXshSF0mHb8o0IomRelBY7NeFDlXRGpMlXFPChJxO9hyrMmqLmxpsWDEMwzAMM+VRuSvm7yrpUp17rJKfnbJmYxM7f/1yrN7Q6FKLg0MjFBipBZXOiRZZKGFsTLSNoEJWY+9qBzlWfSkQLPrnHZsssGHFMAzDMMyUR1oy1kDFHCvt8Wg3x6q7IVNrNzYBAOsbUVfaGySakcC0oaBSKGAZCfLJkgenQlY9+J7XlidIh5320WM10cesn7BhxTAMwzDMlCclStBHj1W3C6mOh8qg6sfgebLRjASGa36lY2nqWBXJrcefHVwn3cKL1Svbue60KiAXCO4JbFgxDMMwDDPlERJte6w6Nax0kn+XRqDUzFTMs1LiFUFbqoCFOVaTSLxClQVo02OlFSy7268s6PKbSgY+G1YMwzAMw0x5aMBKVFEF7HTY2O2xOhl6VQQcNhUaUfuqgMUFgpOfE4Xqoge/XY9V/NmP8DwOBWQYhmEYhpmC2GprVenYY2UNQO9evhpLnlrfUXvkjZiqHqtplT1W6rPQFqMCwTnL9MuTRRMAvue1pwrYR7n1MrlrmxqTyrA6/vjjVXE+69+LXvQi/fvY2BiOPPJIbLnllpg5cyYOOeQQPPHEE4k2li5digMOOADTp0/HNttsgy996UsIw7Dfu8IwDMMwzAAhHY9VlbFgp2NUu0Dt2394I444/7aO2iOBgjDq3Yj29iXPYHR88o2vmpEKBazisYpKeayKl+mXU0ZCGVUeOjPm+hGe12nh7EFkUhlWAPDiF78YK1as0P/+9re/6d+OPvpo/OlPf8JFF12E6667Do8//jgOPvhg/XsURTjggAPQaDRw00034fzzz8d5552HY489diJ2hWEYhmGYAUEImfBYVRmzdlqvRziFVB9bvbG9hmKoH70czr7rrJtx+pUP9HAL7dEIq4tXiBLiFYS7BNU761e4m9Ry615b51eLV/TDsIo/p1IoYG2iO+BSq9Uwb9681Pdr1qzBz372M/zqV7/CG97wBgDAueeei1133RW33HILXvnKV+LKK6/Efffdh6uvvhpz587FXnvthZNOOglf+cpXcPzxx2NoaKjfu8MwDMMwzAAggURJ4CqDQdGhIRM5hlmV4sTZ/elPbsuGxmT0WEnMnlarZDgYVcD8ZbSxmhcKWHprnSFjkZW2VQG1563bPcvYlpao7/22JguTzmP14IMPYrvttsPznvc8HHbYYVi6dCkA4I477kCz2cT++++vl33Ri16EHXbYATfffDMA4Oabb8buu++OuXPn6mUWLFiAtWvX4t577+3vjjAMwzAMMzC4qoDteDzaNWQox4c8JkEV5Yys/mgjoLcj2omQGm9FIxIYrlgguIwsuGxxTPvllaHteJ7XlrJfP+txtQqf3BSZVB6rV7ziFTjvvPOwyy67YMWKFTjhhBPwmte8Bv/85z+xcuVKDA0NYbPNNkusM3fuXKxcuRIAsHLlyoRRRb/Tb3mMj49jfHxc/7127dou7RHDMAzDMIOAlBK+n/y7/LrJz6q4A/vODav+eCV6mcPVLiS3XmUwH5UwjMlIyFuiX7YDTQD4XvsFqYE+hQJOwRyrSWVYvfWtb9X/32OPPfCKV7wCO+64I377299i2rRpPdvuKaecghNOOKFn7TMMwzAMM7mRMhmC106OVbsDSHdgX+vQsOrXgLYfg/OqNGO59UqhgCVqVOUeUy/5exnOv2kJ7n18DU59157lV9L9sHKs2lEFjD/747GibfV8U5OGSRcKaLPZZpvhhS98IR566CHMmzcPjUYDq1evTizzxBNP6JysefPmpVQC6e+svC3ia1/7GtasWaP/LVu2rLs7wjAMwzDMpEbEA1b77yrrqs82t+3k+PgdG1aTT+b6m5feh3efdRMA4KFV63qmKGg8VuW9ju7xz0Kp8eV7rKpcL7+6dSl+e/vy0ssn+tFpjlUfa0v1U9p9sjCpDavR0VEsXrwY2267LV72spehXq/jmmuu0b8vWrQIS5cuxb777gsA2HfffXHPPfdg1apVepmrrroKs2fPxm677Za7neHhYcyePTvxj2EYhmGYqUM6x6q6eEW7g1VXbKLT3Kh+5VhV0dj43Z3LcduSZwEA+59+Pb5+yT096VIzEhipqeFt2d0vVccKxV6iKke6XmvfcJZQuW1ehx6rfpY461eNr8nApAoF/OIXv4gDDzwQO+64Ix5//HEcd9xxCIIA73//+zFnzhwcccQR+MIXvoAtttgCs2fPxmc/+1nsu+++eOUrXwkAePOb34zddtsNH/zgB3Hqqadi5cqVOOaYY3DkkUdieHh4gveOYRiGYZjJikTSY1VlKCg7NIhcVcCwQ1dTv3KsqqgXuks++vSG7nYmphFJjNQDAOq4+iX6WKqOlVSexLxlqhjVndgZpkBwm4Z8H/Oe+imUMVmYVIbV8uXL8f73vx9PP/00tt56a7z61a/GLbfcgq233hoAcMYZZ8D3fRxyyCEYHx/HggUL8KMf/UivHwQBLr30UnzqU5/CvvvuixkzZuDDH/4wTjzxxInaJYZhGIZhBgAKsbL/LovxWLW3baE9Jp3lapn+TD41Nrcnw7XeBE01wgjThmLDSkjENlYh5VQdkwWkU7+2cb20g5TKW+XBa6sdCZXD109VwH56xyaaSWVYXXjhhYW/j4yM4Mwzz8SZZ56Zu8yOO+6Iyy67rNtdYxiGYRhmE4ZEAYj2cqw69FjFf3ud6pj3yVNQpZv9UoZrRhLDNWVNlQ4FLFHgmQxv1yvp6d8rXC8dHAshJTwgNvLay7Hyfa8veU+tJOo3RSZ1jhXDMAzDMEw/EN1QBWxz/EgKdt1S2TM5Vl1pritQV6RjRHabRigwXFfD27LGgxavKOiVEq/I9xK1c720gxGv6NBjxaGAPYENK4ZhGIZhpjyUu2L/XZZOZuZpgOt7QBjHTHUuXtGfUMBKfrW4Kw1dDbnbvVE0I4FpdRMKWAYtd18QskYezTzjq9L1UnrJrHVlLF7RnudLSiDwvP7UsYo/p1IoIBtWDMMwDMNMeVTuSvLvstCgup3BKnlVar6pvdTpkLdv4hVVQgHjPo2H8Si7w2jHPBqR0OIVZQ2PMuIVgCrcnCpjFe+HkMBNDz1VantBB6GepkCw19Z1IiERBO15uypvaxLm+vUaNqwYhmEYhpnySCkd8YoqOVbxOm1sl4ypwPfQ7NJot9chWO141Mh4GW8qw6rTIsh5qDpWanhbdv/L17HKlzh/fPVGHPrTW/HkuvGW26sFHcitS+PhbK+OVf/EK8w22bBiGIZhGIaZMgiZFI2oYuOY+lPtbDf2WAUeoqJYtApQuFqvxrN0bKrJratlx5qR+rtHHitVx8rIrZfBiIcU5FjJYsGIMD53zRJxb36nHivfa7+OVezx6msoIBtWDMMwDMMwUwe3jlW1HKvWA/M8aHxbD3w0oy6JV1AaU48GtO0MyunYUihg2KV9tQkjASFhhQKWW69MgWAtXpHTJu1XI2y9UR0+WPE40vn04jbaPb21jJDGnqA9p33Y1iSBDSuGYRiGYaY8QnskFFXGgp2o8JGRUvO750XodY4Vtd+O42U8VB6rXnhMyDClGllVQwGLCwQXi1eQYTVeyrBSB66qJ4cWpxyr9kIBKceqHx4r8pxOHcuKDSuGYRiGYaY8opMcq07qElmGVZkwslJt9jjHqh3DihYlw6Nb+WQ2pDg4VPPhexVUAQsM0e9d/SCeWd8AkJ1jRX9T7liZbdKxqGpc0tK+10GOFZJCKb2EutfOtv5y70q84ltXd7lHvYcNK4ZhGIZhGJkUqquWYxU30YGoQy3wuxYe12s1tvZCAZM5Vt3KJ7OhMLx64McKftU8VlkuxzOufgAX3b4MQHYdK/qTPHFltkme0arHUbftqZy1dnOshJS48O9Lq69cdVvxZzvzBX+5dyWeWNtaCGSyUZvoDjAMwzAMw0w0QkpHvKKdHKs2tkseq8DTAgid6q3T6r0Wr6iime56rHqRY0Uev3rgFRbzdSnyWBFSAr6fDgWkc1+lyHO7oYB0TaoCwe3l9ElIPPr0BgDKGByOhT56QSf13XrZr17CHiuGYZgOuHnx07qoJ8MwgwvVByKq1bGqvg5h6lh5CEvk+pTrT289Vm2FPpJ4RRwyF/YgFC2MJOqBUsyronwX5Rx3MggC31P1nwpCAbVhVeKY01VWXbzCrF8kpFGmDQAYa/T23UWGXzuqgJQnN2gMZq8ZhmEmCe8/5xZcdd8TE90NhmE6xC0QXMUo0XLrbXgQIqFEEXzP016csgPRhctWY9HKdRn9SX52G+pfOzlW5FXqiXiFEAjiOLtKoYA5HqtxK7SQZMpd74sJd4vbKLFfZMBXzrGyxCu8DnKsiEbJScE9T7gS1z/wZPVtdXAd1juo9TWRsGHFMAzTIRsa0UR3gWGYDlHiFebvah4rUj9rY7vCqLyR0VHWE/GOM2/Ee39yc+r7XudYafGKNtYlY6JbQh1u23VfDW2riFfkydOTd833PW14uy3SsSBjs9Q2KceqqiogjEHre16nEaOlDas1G5u45v7qE4jUv3Y8nHNnj+DlO21eeb2Jhg0rhmGYNqkS+sEwzORGdqAKqHNJ2thuJFWIme+390xZvaGZ+s4Yer0KBay+DuUVhUJiuNYbVbpmJBAE1T1WUY5hbHLeJCRktngFeWUqnDsy4KseR12Y2fPge+2dX3uVMjW39LLtGMIdGvhbzRxua72JhA0rhmGYNtEzrmxXMczAI4GEC6aaKmD7hoyQEr6vVN4o76hTo6OTEKwytDNQ9rQSnsBwrXvFkG0iIVHTHqvyOUh5dazo+EVCZoYC2v83oYDl+xtWtKx0geC4QnDZ87t+PMQ7fvi3+J0l8fPD9wFQ0bAK2w87bOd6VvfF4IUDsmHFMAzTJmRYDeLDn2GYJFTH6t/mb4GRul8xx0p9thcKGHusvKRSXke1sbRh1RvLyog9APevWIsvXrSw5Tr0lAyFxEg96IncejOSqMXPY9/3Snv+tMfK+V4r/mlPUXIZu/mwgsdKn582PVa+9liVW2/ZsxuwcPkarN7QhJTA1jNHsNn0eqVwzE68Y+1ch5EAgnYqUE8wbFgxU5ZOXloMA5hBUMBPUoYZeJQqIPDrj70Sl372NZUc0Z3kWEXxzLzneQkPRichxlqMoUfvOdtD94ubH8Xv7ljech3PEmwYrvs9UQWMhDTiFV6FUMAWHitAGVSB73isEsuWP+bGYKsqXqGW9z2qqVVufS82azc0QkgoA7HK8QHaC8wwuX75y3zz0vtw7o2PpL4X0pzLQYKHA8yU5Xn/eRmu+OeKie4GM8Boj9UAzqoxDJNESjUADXwPQ4FfMceKPB7tzMyrAaTvIREe10k4YCd1tcpgh8iN1POHkr+85VFdOFd7rCKJ4VrQkzpWYSS0mpzvlTcs8wzjyDIgoUMBze/JUED6LGNYlV82az0vNpXKGkZksG9sRsY488vL0att9yYU8Kd/ewQn/Om+1PeRkAP5bmXDipnSLFo5OtFdYAaYtpJ5GYaZlEhLFVBJWZdft7NQQOU98DwPkTCGQatBb5HR0El/ykB9k4AOvXNZPx7iG7//J+5aujrxfSgERup+5fyiMoSWx6qK4aD3x/VYCWNwKfGKpDFjN0+hjeVCAdsTddBqjF61CT27eHF/PVbqs71QQDmQ0SAD2GWG6R7tzC4yDEGzy73KY2AYpn8oOW01WPUqKq6JDjxEFApIHisSX2jVlj2x4xYp1yqFPXo2ScvDE8T9dQ09qgFFnn2yAxqhQD3weyKsEQrVNqDC9sqG2gmh6iblKf5FUurrI+Gxss5SlCPZnrm9eJGqXjta2vNQqY4VhV2GkdSeWb/i5EE7lxKt0s47kkMBGWYAqaKIwzAuYcWaMwzDTF6ElHrwnyWrXbyu+mwrxyoWr6AcK/IAtRqM2sID651aep0YemWwDRbyKow771MKATT9VPvViCTqQW/k1sMomWNV9nxE8SDeXd72LEmo8EJ7EXt57bEq8T5ot84YLa8LBJd899CxDoWEjK/zyqGAlXoar6Pzzqqvy6GADDOAsH4F0wk0Y8x1rBhm8BHShFfReK6sx6eTHCuamSdVwFocCihbDEbtQfGGRpjdn56HAkrtsSJDiqCJy7Fm2mM1XMv2cnVKKCRqsaXnVSgQTIWFXUPHrW+VEq+wvtd5ZyUOepnco6IVPVQrEEyesUQooO9VOv6deD/beUdG7LFimMGDQwGZTjB1S/g6YphBh3JoAGNglR0P6gF5WzlWyoNAdawCHQrYymOlfq/5HtaPux6rtrtTCn1cpJHEJgOKSIUCxt83QoGh2Pjpdhh1KIzceqVQQCkRBGlDRav3aU9Pdihg4JkaZOVCAeN2K3us1KeSW6+uehgKAcShgIFX/vgAHeZYtVPHij1WDDOA8HiY6YAqM5QMw0xu3BwroPzAn0Kd2s2xCnwPvh97TgIKBWyxXrzAnGn1lMeqk4LFZbBDDen/eR4r8pbQMW1GJg+q28/OMDKhlG4x3yKosHBKvIIMgxahgHa+U5lN0vVS1eAgQ45yrErvn7RyrOLvqoYCluHiO5fjXT++KdXftutYsceKYRhm6tDrWjEMw/QPO8eK6v6UvbU7MWRIFdD3PDQjoUMBy+RY+R4wc6SG0XE3FLByNyphcsqkVvdLe6zcHCvov4d0KGB3+6VCAY1hVVa4NYo9XalQQKsQspTp2lH0/8AyUsoYEdpjVfHdIbQh56W8Z0WY/C+TY1UlBw1AqVmDa+5fhdsffdasIslzWGE7MSxewTADCA+HmU6Qbb4cGYaZfNDAGYAOCSwKxzvrusX4890r9Lpq+eokCgTbqoAtGqN8oulDNWxIhQK27ykog+2xIo+U67FKhwLG4hWhMay677Eyxy+o4JERUhlkeeIVUnus3FBAReB5CSOsFVptsKphJexw1fKGP52jkHKsUD4HTUvO51zdjz69PvddKEEGXDseKw4FZJiBQVoPS4ZpFxMmMrH9YBimc4SUOg+oTI7Vty//F77++3v0uq2Wz90uqQIimSPU6v0UCYG672HGUID1KfGK5Ge3scUxmtqwys6xajihgA3bY9XlDkaWqqKf4YHKX488VsnvEwZQbADbbZLAiB1WV2ZcQUZKO4alDldF+eNn6liJOOS1fA6aK+Dh8rr/vhZ/XPg4AKRqk2mPVRsvSRUiW3m1CWcAu8wwndPr4onM1EBUCP2YLHzwZ7fikruWT3Q3GGbSkfRYlQvH08n5nXishKljFQqhVe1ajUWbsbT49OEaNrQpt37f42tx7B/+WbnP9v7StsaaTh907aQC8Youz0o1LVXFoEKdJyGBeuCnvDLG86f+diPTtHiFZaSUyrFq12MlkwIrZSeHSVijGUmQz6qsKmDRpAFt/5n1jcT3tmpkrYRhleWYogmHQYMNK2ZK0usaH8zUoN2X40Ryw4NP4dd/XzbR3WCYSYeEybEiK6CsgEQnOVaRVINPX4cCljPqwrge1MzhAOvHXfEKxP0p3vaPr1uMX9z8aOU+G4+Y2cC4k2NFfTAFgqmOlRUK2OVnJ4lQAJRjVdbwUAate7xsL1RmKKA2uLyWIXM27YZqSmlCKr0Kcuv2dUoeK7+kKmBRHhyVHKFcKDr2G2MjW0rlzWu1mSzziSYcBg02rJgpySB5GJjJi44rH7DraRBnARmm1whhBv86x6rFve0aVJ14rLxYvIIGk63aCoVQHquhWobcerlB/kOrRlVbZVUeUu2bfR8Ls/tAoYC0nO2x6vazsymM+EelUMBIqTEWqgLKIvEKtJljVap7ie2ZItblPX5GCh46xyrICH3Mgs5R1mvDNVzJwGpaYaFVZO/d7Q7iu4oNK2bSsnpDA7c8/HRP2u51/DkzNdAv3QHyWAGDZwgyTD9ww6zUd8XruKGA7VhWkZAIPCMmEHjlBs2hUB6rGUNBSm7d7V8ey57ZAABY74QStsKu20XddD1WtAgZbbYHizxW3X4URZFRkgs8r7TqYCTVsUznWFFukqlz1kq8olwoILVbzbKSMAaOV0G8IhG2LtUEQlnDTBQYVqmoDUtSH1DHr0y9raxuCPZYMUx3OfnP9+N9P7mlJ22Xnc1jmCI6SVifSKrOTjPMVIBm8gEziCzrserknSKkCl9TOVbKMCgjpR3G+UTTh2sp8YoyA+YwElqmfWOBYfXgE+tS+VPGrpJ6n12PFR27pjasjMdK17Hqdo6VkKhTKKBffhIpT269lceK/utZYXVlvGTteqzIUAHisMSS64WON81D+VDJomsp5aUj49kyMmslc7lSbUuuY8UwXaXRw8Efi1cw3WBQc/UGKSeMYfqFlGaGvLTHKv7s5J0SRhK+r7YZCgGfvAmtcqziUMAZQ0GG3Dr1J7+Np0aN4IBba8rmTWdcj9P+sshp3woty/FYGQ9VcvA9HirlvrJy31WIhEBg1bEqO6CPYu9fYY6VVMaavQgdX1v5rswWtceq4gUjJBLKleULIBvjlnIJS6sCxvvlZWRCaU8YCZUIKgode6xQPuQwq20OBWSYLtLLwR/nWDHdoEpI6Qd/ditWrNnY2w4xDNM2QlpS1iU9Vm7pjnZeLUpW2ohXaI9Vi/XCSHlnZmR5rEr055n1DcweqWG45hcaVgCwYu2Y0z50+7SJvBwrV4a8GSmDMCgRIlYVdUziUMAKuT1UWNg93/S3UQVMLqNDAS1vVym5dRmH8lUc55DXDABQQfUwdAxEr5IqIPT20r8lvXR0rk0oYAdy6xwKyDDdpZeGFdWe4DpWTCdQCEzL+HEhccODT+FvDz7Vj24xDNMGUpo6VjQ7Xz7HqoNQQCER+D48zxgd5TxWyhiYkSFeUUZMYyyMMG0owFDg64F3Ls7P0trffI8VeTGSfWlESmDCb9OTUUQYH0sgzrEq2T6pCbqL6xwiKTO9L7TvvmeK8JbNsSojQ561nhGvaB0uStghexJGFbDM5nWOVVa7juFJ3kn6JLn1dgxoJV5RebUJhw0rZtLS8kHfAYMawsVMLijvuNV1RDO5vbyms9j3lGtwx6PP9HWbDDOoCMsboFUBW9zdbp2jdm7xUAtWeAiFyqHx0DrMK4xUSN304YwCwfRZ0MRYM8JIPUAt8NAIiz1WbvHfpLde/eF6rAg7DA1QOVbkser2BGoYGVVAr2Io4FAtK8fK9vTIlMeKfrdzr8rmWNV8v3IooJRJ5cqyh8/kWEndf98rF4pYdI7ciYUsj1UVdUYbISTnWDFMN+lHKCA7rJhOEMnRRS5j8Uxuvw2rFWvG8LcH08qafNkzTJosVcBW7wjhDCzbeacIHQqoZKr9WBWwVVtNIVELfMwYqmXkWLX2oI03BYZrPmolPFaj482c9s0EUyuPFRk5jTjHqoxXriqhMHXAbAn0VpDHyl1ce2TiXXOV+Oi/thBEWY9VPagu6mBfox7KH78sj1XlAsFF7ToGlfFYIfbMlepmsm3JoYAMMzDo+HAeYjIdUHaWmhS1JuIVwdLqDFMeW8oaKD9wNYu1l0sS+Co0rilMvlWr50pE4hWZOVZuv9KMh8pjNRTk51iRd2O0oAAxvUddrxYZI67BoTxWftuejCLsAstBhfZNjlXye5NjZVQBpfO7R1L5jpFdhJBAPajusQJsj1X5N4orwqHk1suqAkKvm/qN8uZEtscKGV6+Kn1m8QqG6SK9nKigmzxL5YZhymLnGRRBVegnQua8ap0UhpmqqPwVE0amviu5bgVvhUskbPEKpQrolfDmNOOittOHAqxPGT5mIJ3HWFNgpKZCAfMNK/W5biy7fcQ5VjXfw3gz22tmh6FRv2u+17aoQRFh7MUD4lDAMkZO3Ie676cLBJNxKJWaXuCKV8TGlud5+llb5hqQsZeynRwr7bGqEOroeg1NgeDk+sue2YCr73si8Z3rtUv0R9Bn0sAKbY9V0F6BYMEeK4bpLl4PZyp0LYfBu2eZSURZiWXyWFF4RD/JmvFjJxbDpEkoroHC8YpvFuPZittoY7tRnFdFAgikCtjKKKDwtRnDWeIVpj+r1o7pQsA242GE4bqPeuDnPpuoD65hZUdBSwDT6kFuHlbkyK03bFXALs/7kAQ9QEV7y6yjOpblsYq0gZqdLyQl1YSyvEIlrgIVCuhXNqzUpqvnWJHRF1ljn6zCvaf+ZRE++ovbAQD/WrkWz/vanwtzx9zaXbQd21DvRBWQPVYM00V6eUOx3DrTDdzE9Twox6qXtdlcaAZxEGf8GGYiEFImYhiqqK5Vkdp2iWKFOC1eEecftWpKi1cMBWhEIuERt+Xf33/OLXjNqX9NrT/WFBiuBaj5Xq43PdKGVTLHylYdlBIYrgfpIsJIeqxsg6MWG4/dDlUOhfLiAeVDAWmZeuCnlnfl9N3zQjWhlHQ6tde6n9qT05HHqrrcuvFYZasyNi3j+LYlz0JIyxub0x/AXCehVgW05NYr3EeJtgUXCGaYrtLLiQoWr2C6QVmJZRq0tFLe6ibN+C2f6bHi3EKGSSGkKgBLZM3oEyacPPm3BLB6QwPjOQp5WUSRMqa8uEBwEOe/tBSviFRe0LShAIAJOaZ9Uf2RWPzk+sz1lSpgsceK+tCMZMJwMt56FSI3bchP51iRx0qrAprfAt9D4Hd/kjOKjNx62TpRZHTUg3TtMDuPViItt061z3zLSCwlXiHakyFX21P/d/O9iiCvIfXR85ApHkLX/3gY6Vw1+1xn7Yf9GTqfEu2FPFJfB3FikA0rZkoirZcO0xv+umgV3vXjmya6Gz3FDocpgl5mrYpwdhMy4gbxxcQMBkueyh6wDyxOKCAKQq1MOLk7+AT2OvEqnHrFotKbVfV6YlVAHQrY2uiI4nyiafXYsGrYhk/rQf54qDxWvp8vLkDtDAU+7lz6bLr9eBvTMjxWqTpWlrfFhAJ222MljMeqhUds75Ouwh/+8Zg2OmoZHqvkfqaFGKj2mYd0LlkRUsbiFZVfCVJfo14FUQjqW6Q9VvHEQc7xXzcW6kk5miTIWtQVcAqjZCiglMWew6L+cyggw/SIXhTxZY9V7zn3xiW4/dFnWy84wJQN/6Gf++qxigcLgxhKwUx+hJD499Ouxe1LNp06aanZ+wLjJhSud0Z5IGjp6x54svx2Y0U6U0NLea9avZ6aQoUC1gMf9cBLeKzsHKs8IiG17HmeAUID5h23nI6nRhvW90njIivHynispP67RsV7YxXEXohX6ByrFnLiz6xv4M93r9D7XvczcqxsNT0oT4+9DHmQqghJqPVkJdVCe3t2rbWy6+uwdT0jkF0gmCYK1m5s6olnem9l5lg5BhvJ3dty68WGVXGfgwG0Ugawy8xUoxelfzpJNGbK0QuDeLJRVryCXjr9zLGimUM2q5heQPLe6xw1ukFGSOmIV+SH47kS1CqM0HgQqkyiUFFgU0Or3KBZSYurYdy0eoANFT1WSnUNhYV6qZ1ZIzVssM61K14xXAtS4Y90LGxPDhXvrfl+InyuW4SRRD0+Jlk5RC6+pwxSz1N5Yu57K2GgSnWskudFahVHt6ZTFpGQ2khrX7xC4dbUKiK0jFsgzrGy+qz7FxtEG5uR9qbReyvbY5X00oWRMrLTHqvsfhVd4yTqMmjUJroDDJMH3W9CSgRdHh52kmjMlKOf3pmJoqx4ReQMMPoBTx4wvWRtrBJX24Q8ohKuKmDrEDn6Vcpk2FKV518kjRIgAC293ur9ZBfDHXY8Rna4e833Mp89ZEj6GZ4avUy83rQhp33YIXLZQgzUZmgNsu0aU0HBdtvFVgUs8sQRnqeEOWYO1zI9OMKyrCRi49n6XUorrM65JrLY68Qr8baXbAsqENyWeEXsEqkiruLmWAGIj3+yAbpOGqFIGEtAcR0rO+xzuB6Ycx5ff/mGe0GfLe/jIFHKsHrmmc5c/XPmzEEQBB21wUxdemH72IpJTG8YxJmmqpStY6VntftqWCVfeMn+9K0bzCbKxthj1c+8wV5jCwMAasDcaqY9MQFoGQpV8ndFPICkuoq+7xVumwgjoT1AdUfZzzYI/Bxd7khAe8paDXxVqJ/lEbM8dhIqP8ltw0hwS/0MpBpTKvQxf7vtEkbGK1Y2h2t0LMSs4ZpS/HN+E9b5BdKCJiReUTbHat1YiBsXP6XDItvxWOnrpI0cK60KGIcvuoZnqOXSpd4P2/vkYkIBzfozh2vGkJcmHF2ItBhF0X0yqHWsShlWW221VUc1ha666iq84Q1vaHt9Zmpi6oN0fxRYNoSLaR96uW3KlA8FVJ/99FjRlvppzDFTB7qWx5ubjmFliysAxXLWWQNwNTAv58W2CZ0k/YByrFo+V1QtJEAZLLayn+2xrvkeGhnrU5HawM8PyaP9nzZUS5xrN8dqKEh7xUQ8qA6F1P0JHI9VL+TWa4lQwJzzF38f+B7WjYeYOVJLGU2AJTUu6XghcfJJbj3hsWqxS9RWO4Vz3Wu07PjI1LGKDSsgVmV0lzPGFDXdjPJzrLThSQZWJDFSD6yaXpZhJSV8J/qoqPuDKl5ROhTwoIMOwh577FGp8fXr1+M73/lO5U4xjE0vjJ+i2XymOwyiC78qJs+g+DoqE3vfbVz5W4bpJhQe5AoWDDJSJgvTF4XISWe3Ux6rCu8WISSG6iblXQk7tH4/kYIggDjcL6uOVX44VSSMUdAq5HFa3c8ONZQU4pf2vkgr3E3XirL6W6RK1y6hMF48v6BAsFbH8zyMjoWYOVyLhSmyvW4yNpld44tCAeHZRljr94HyWFXff2Fdo1mhi3mkPVZepiFJ93UjFHpyu6ELPGcZVsnfQiExXPMTSpAkfx9JmTI6iq5xMswHjdKG1SGHHIJDDz20UuNPP/00TjvttMqdYhibnnisKIyh6y0zBM00DWqcdBnKxNQD5kXb7dnZ4m2qz6wXN88nMJ3iqoFtCmQVCM73WLlGBBKGVZXDQjlWtI6fM+h1CYXQNaxqgacHxbQvdr+yEBK6ZpZrgDy7voEP/vxW/OSD+wAARtxQwITBobwvaY+V8qiFlmFFoYCUR9bty0cJehivWF6umx3iNzoeYuZIPdNLaEclkOFt91lIGRspaYGIPISUsceqjVDA2EMGkMBJufXc+zVPbp2Mc1toqRkWiFdQu9qwEkmPlQQoeCXrcm6VYzWIKQWlVAHPOOMM7LPPPpUbnzlzJs444wzssssulddlGKIXhpVOvN10xgSTDnqZb8oiFmVz9SZCvIKu8Sxjji97plNCkX99DSoqnM8M5Dzk39v2rSzjgbKSSC/ntbChySdT46l420QojAJezfcTzxfbwMsTGKEclqyQvJVrx/DPx9ZizcYmAGgDyaxrtiNltsKd/T01b6sCtls4tohQSG28+SXUDqWUKsdqpBbntSWXp+MipHqm2uGean1l4HgwRkqr/Dohlceq3kYooJBG6bUo1NElcow+E76YXM4Wr3BDAbOuaX18rAiJ4ZpvBC8A47HKEVAp6vMgTsqW8lgdddRRlRtev349ZsyY0da6DGPTi7FoO+EaTDVogNIUAtOwaYrXuInNeUxIKKCkbfdtk8wUYlP0WElpFNcA8k4UD8zV/433py2PVTwzL8kToVUBi9cLI6OAVw9c8Yp4n5A/669VATNCAYdq6kBsaCgp8lrgYWMjQxVQGrW/0HnYkPEQCqMwZ3uTqhgGZaHaXGob+c9mU9dJlQzQ4hXO4ua4yNj74sEpYaY8Vn7SCCtCG5m+X/mdQEWKATK+qxpW5LFKetnc5WzBkSLxCvt6JwNaeazSSpCZk3wF76dNvo7VeeedV7rRZ555Bm984xvb6Q/DaHpp/JQN4WI6Z1MWTygfCqg++zkINYpcbFkx3YdChjYtw8oorgEkRpG/LEE5RIElxV3FYIgEdKFetV2vUDiDCCOVwwTE4hUJj5UxfPIMK2XQoVCdrxEK+J6Xkmy3DTcVCpitClgPfESR8VgF2sPWG1XAZiT0QL4onNKeFCO5dTfMD0iKVwBIqdRR+KgHE07Z6tTTz+2JV5jzmdXfPELhyLt7OXLrJMtuCY4U5VhpQ0xK/UwYqVs5VjDKflljAVcExW17kw0FBIAjjjiilHG1YsUKvOY1r8Edd9zRSb8YRtMLp5IJY9h0BgWTlU1p4OVS9jqaiNl9ndeVYVfxdc90yqbosVL5Mubvwhwr63sahPq2Ylwlj5VQEutUxypWBWydYyUThkqm3DqSEvI2JA6QFZJHg+BGJBB4HgLf17WQgKThJiUyVQGVWmAyx4oMwcD3Mortdk4kpCNe0cJjJSXWj4eYrj1WrnEY7wuMUZMSr9AFgvND5rK2Xff9yhEFbo5VWVl/UpDUqoAt5NYjaVpuFhQItkMBySgbriVzrOicZ50L+5t0fttghgKWNqze+ta34qMf/Sh+/vOf5y6zePFi7Lfffli8eDF+9atfdaWDDNMbuXX2WPWLTWng5VI1x6ob+SivPfWvWPLU+hJ9i7ed4bHqpHwGwwBWjtUmdH9LODlWGQNte1lC3ddxOJ+WW0+vNzoe4s93r0h9H0kj5gBQKGDr91MohB601gPfEa+I+ykLQgFFLLyQEZKnvRWxOlzKYyXMO1TIvDpWJseKfup1KKBSSjQCGXmXJ/VfSLXOcM2Pc+Sc5WTyfLrhhRKWkWIdE5tGKPDkunGzDh2LoA1VQNGuKqBAPTChh3ly66FQhpuwQgHDghwrM4En9fVhe6wAk2+d9f5LhtROMY/VJZdcgre97W34+Mc/jp/+9Kep3++55x685jWvwZNPPok//elPePe7393VjjJTl97kWJmHKtNbNqXkdpfydUu6MwiNhMTSZzZg4fLVJfqW/LQZvFcVM9mIou5c05OJbI9V/rJEFEkI0TrH6oJbHsWRv7oz3VacF6TFK3LynlxsBbxa4KFpy607n3n7EHjkOcrePwoFVF6tdA6X2oBRBZTOQLleS35PRkEt9lh1Owc0EnYoYH4ouh0K2IyUgZoVfmk/48lItRehUEBboc/d5nF/vBcvP/lq/TcdC1cQpAy2cmWR4e8SOaGAXs41FgnlZYyk8TKaUMCsdqF/IwMs6bEytdZaiVe4Pw+qeEVpw6per+Piiy/GgQceiE9+8pP4yU9+on+7+eab8brXvQ7j4+O46qqr8KY3vaknnWWmJr3Jsepd24xCq9JtQgMvl/LiFfTZ2bFYN6YUusrM4tlyyARf70y3oAHhplQnzc1H8jLEDOxlCRqE2h6YrGfCxmaU+g5Q3gQ/9hwBsSpghkhCej2JILBUAR259Vos/0675A74I5mfY0V/j4cR/AyPlbGrVP4UqRPazcgMjxVRtlZXVcLICgUsUfhYeawEar6fKRiSCAVEOq+JrhkPyPVYLVq5NvE3/R604bGTgBZYKXONEKEbCojsUMkw9t4JYfLiigsEm+ud2hqu+0bwAuTRywkFdIzUZNubeB0rAKjVarjooovw3ve+F5/+9KchpcROO+2EQw45BHPmzMFf/vIXvOQlL+lVX5kpSi/e2yLnAch0j24ZE5OZsiGlOhSww2NBtUXKREdkzZzTdwMYXcFMMlyVsU0B6XisigQk7O+V6l3ssaK2Mtu3t2M2FAk1gNS5M76XKf3t0oyELrhbDzw9mKVt+L6XyMmJpIRv+auljMMOMwrV0qaTHqv0JI2Ual/JmAmFQOAHehnllTGqgLR1MmS6XyBYokahgGVyrOLcoHrNzzzmtiy7lFSTyV7GFFnOuydSxkH8cy2oLjcvpdQCK1VyrERsWJkCwXly6wJDsceJfqM6VlmXo65jJaQWTxmywkJ12GOOtL6br2YzqKGAlQwrQBlXv/3tb/G+970Pn/70p1Gr1bD99tvj6quvxk477dSDLjJTlaJY9U5hj1XvEV0yJiYzZqDUarnuHAuTN9W6HXtA4H43gO8qZpJBSe62l2TQEdJVBSwSrzDhX0JYhkzBu4UGiaTQZrYrEzlWQSzf3XLCRlg1mxzvhx2aSPukwsGS6/s5oYA0GdSMlLBGWhXQTCrlhXsJaQbZ7uEIguz6WZ0SWqGAdsFmF6FD2CQasYGaNYh3DT/fydsS5LHyzDFL7atjWNHPdd9vUxUw7ks7qoA0uQZP5VhleCqHawEiacZgxR4r6N+iWKXSrqkmIWNp97S4ib0+kE4boMLZg0Zpw+riiy9O/P3ud78bt99+O1atWoWjjz4ad955J+68Mxk7fPDBB3enl8yUpGyYVTuUFR1g2mdTnNF2MVK8xftoS9J2tD092GndjvZYWaEiwnqpMkwnaFnmTej+pgKwRFEtKRmHKUmhZKYlkvLsWQNealvJpJvvQ+EWCK6eY+XmK9ny7zoUMMMbE/ixtyXHUxMKdUwCR5zCnpyUMMpvrvFVD9wcK+j+Br3yWAVGjryMKqCIYm+OlVdkljPLU02wLC9LQrzCacN93tLvbYlXWCe0jFeTIFVAe3ItS3myGUnMGkmGAlKOVdamIus4NoWqq2Z74igUtZbhFQWShl3q2AuVAzholDas3vWudynFFH1SzP8/97nPpS8kz0MUZccTM0wZOjV+vn35v3DPY6txwUdfmfrNvBTa7R3TCvvFvKlix98X0S1palrdLcSZvWzasGWP1abPbUuewct22DxVb6fbmGt606mTZiuuAcU5ViIOyQo8tR7lNCHjvlu4bDU+8+s78b6X7wAgXTSdBpB2faIyNYqaQmgjws3XofE35QAB6WexLhCcGQoYP78jtUw9w2NFhpuQ0OF3kaNMWA98SJnedi0ot49VIM+YCQXMN/ztiAopY/GPCKmcJXWMjKy86wWj8FH7bnO3mGes1TOUFFthG/9+gUfOJRQS0+pB4jwrgzq5nPJYxeIVlEdZ5LGy3m2RkKj7PgLrWpGI87ni79ZsaOK9P7kZl33uNan+u8WCI5ks2D0olDas/vrXv/ayHwyTolPj51e3Poq1Y2FO25u+N2Wi2RTr3LhkhdtlISUwVKv+Ek1tL16/WaId6Xwymz5jzQjvPutm/P7I/bDX9pv1dFtGbr2nm+krUiY9VkUeATJcAs/TOVa+n5ypB4BHn16P396+DMue2ajXjZzRbBjP9JtQwHLeiEgYjxVJZNv7osKojIqcazwJgTh/Kr0tOq9NIeBlqAKqfCNPq+VleawkTIhg07lQar7abjffDxSeahubuXL58dfNSOp6W5GIUjlLJKAgJbRX0lWy871kGKF7LN0u0DZqbYhX0PaA6qqAtcBLTK5lnXctyy6z6lhlGFZ6LKWWCwIvzqcyeVnksYqExMNPjeJfK9fhmQ0NbDVzOHG83WLBZMgOGqUNq9e97nW97AfDpOjU+Clai+tY9R4dCjgBA69FK9dhwXevx5JvH9DT7ZSV7Y/0i7uzK04PBsIOPVYd9YKZrJC4yfrx7AmlbkIDpzyPlZQSf1z4ON6+53YDUzdNGUvlcqy0tyceaJN0eegs/7r/vjbRHoCELDoQ50OlQgFbTyo2I0eowRnwB6QaR+IVbj6NJFXA/FDAKFLL1AIvkU8nY28CfUO5XqFjfJHB1YxEwgNIxlo3Jzepf8bYzA8FjBxPSy3w4YVR6lkuBHnmZGwkeImBA4mD2Jd4qo2cfcyq/dUKJV6hqFrHqmblh1HeU1ZB5HocoqhDz4XMvR7Nez4+juSx0tdK7Nn11b6uH1eRbKNjIbaaOezkq8lUu4MYCjiATjZmqtBpjlVR7DI1OagOqy9etBAPrRqd6G4Uol/ME3CQ/+XI2/aKsl4ht4ZI1u8r1mzM/M3G5Fi1NqyyQmk3YechA2NwN/rgRmolt/7Y6o046sJ/YOXasZ73pVtk1bHKe3xRCBiFOOkaRwVPA2rbFfwgqXYK3/Rj71Vrj5UbCphuU1oeK/dZTF6tLHU+YZ3fwDcDY9N+POiNPQsk256QfBfGY9UIVT/srWTJfXcCXYtk5ClxjOxl7Wcp1bHyHaOJlqv5fnxss3OsSLrc/s4mfdzVJ+WfVcEO7aySYyUEMlUBU8dfqlDKSCQn8mq+X6h0GUkZG/pewmAkj1Xgq2U2NNSkz2g8+UN5eOr/pl06Zr0Oae4FpQyr008/HYsWLarc+NjYGE4//XQsX7688roM02kR36IBfdkQrsnK7+5Yjiv+uSL1/X2Pr8Vjq1sP0PvBROZg0Mu81+e3rFeVBhh51+Sv/74U+57yf6W3V86wSq6T+P8AzgIyrSFRk36cXTfkLa8vzXBwnrF2mBUQh1rlGEo0wKUQJylVfaGiRwEdM9ewIs8RecuCWGWu1eMrtDxWnmMckeGjvSxIRw9EQlphfsnfdD5nXGMrSxXQj3OslNcmqQZHbdRrJhTQNUqqeFzKQLlAtqBHqwLBkZC6xlOWmIOIjUZIyrFKjkm0oePZ36XbsL+nn5XBVu0ACLLkUGz4u4RCoGaLVyBZ1NhuvxYoD6bOs3PCCG2MeIUJN7SvFepuzad6Zur78TCKfzeS6gkF2/h63GQ9Vl/60pdwxx13VG58/fr1+NKXvoQHHnig8rpMb/j135fi8nvSA/LJSKfGT9EDu6zowGSmkREO9rbv34CDzrxxAnqTJtIvrv5vmwyr8RIhc52gr7EWFxIlcee95J8aHa+0vTLH1Hh8zXeUHDx4ryqmDLooZx8ebGbglOeFVX2hAdQgQJ4XoqgAq4gHjFTfSYs5FL13tBfIDQUk8Qr1t+8rYYdWNYqS4hXJyUTKF7NbiKTE6g0N7PTVP2NDI0QkrbDDVG6RMQKVx8FLeazMgDgePAfuMioEmvbZNaS6HgpIHivL85cvl2+Mhkao8oqyPEDK0PD18XG9khJq54s8VrC2pddBfm2nLJ5YO4bxMEpco0WGv4sSlrBCASkU0/VUxvurQgHVd81I5J6rZD0wEefOWbmGUC4r36ewS7UevZuFNOdrU/FYlcqxklLi4osvxkMPPVSp8Q0bNrTVKaZ3fO3iewCg57kn3cDUmWhv/SKDbJA9Vq0U4Z5d3+hTT4qx1YL6DT2om5HAiK1r3GVMrl7xPkZSYqjm53qaykru6npYJa7brGu87Et4UKBwkpnDlUsy9p3f3rYMy5/dgC+8eZeebYOur34ocZpyCnl9oZnpwVG3sIuvAmmhgsSySBocZGgUHfm88yOkCf8DoI2sVs5+qhtE67ghaqS6ZudLrYsFnZ4ebWjjy1Z51m1bxkCWx0obbpJCKNNFhAHzLB4PVY6VbXX0KhSQBA98L//9Y/YvGQroLi3i/ZeSxCvSdaw8wMp7Sl8z5DF075l6Ld9wd3nFt67Bh/fdES95zhyrQHD59cnrpIvMI1tuXSI2+KQRclHHx8/clv2eD+NcNXWtWOIVMB4rOu4NbVhJbTxl5lhtqoYVoOpYubWsmMFkpJ7vqDzhT/dizrQ6Pr//C/vYo2zKDlrzUA+z4tmqQRxmthqoTJYZnolUBdR1W3o8ptPhdi22I+Icq/Fm9rEoOxDWXqgSyxvDKr3+AEZXZLLgjOsRCoFb/3P/ie5KS75y8d2QEj02rMjL0Iccq4gGiXkeKzKsBsdjlZVjlXerCaGetYFHoYCyUIUOMM9ud4KFCvW6daxaeXOaQiLIDQVU+S4kugAgIaE9Hgq93Sx1OSO3LlT+lKMKaOTWpTV49hLeOCElgsCH56lrM+2x6rIqYOwx0SGVBR4r6mYY2aGAWaFxiI+jCVtLTFbJ5LnLykXS9cscL29QsUDwo89swIufM0dLkHsFhr9LFMWeN2nuR1dunZT4dM0pPUGZf22TMqWQUgtkJD1WlM+llqXrTxtWAvr4JQtcx8doAF9WpQwrsQnVqWCSLmuXc29cAgCTwrAqO2jNo+h2zAqTGhR0CGDOeZwsD6KJFK/QM4S9zrFyQjtyl4s9VnkGVNnrsNIx1dd4crAFbDqhgJMln7AM/bgN+uuxMqE8RX0pU8x6skAeCUKNK/PuWSXGEOgCuMXvVsAYVq4xQYV66bmlQgHL5FgJk0/k5ElpT4DtsRJSn5fxMAIpG3pQBo+UEguXr8Fe229mDI/Y+CIDkqD9JU+O8t65AhfG29UMRSrksJUhWhW7ODDQwjC2PHLNOBTQdzxqtBwZaOr6SC5C+27OXdrYoeuCZPb18arosaNzlPBYlVw91KGA8TsgFpRIGonqk+pr0T6FkUiEEbp9ovyrMKIcK9/JsfKMx4oMKwpbhlGmtMd6JhSw3P5NJgawy8xUoVO59aJ3XJVQQCkl9vv2/02aQZz2WOX0fbK4zm0Z1n5DR6DXdcr0bGaLzUTSVpZKI62BT/H2yh9TM3mQYVhNEuOb6S7GsOqfKmB+jtXE3f/tIkTSY4UWA1cyOEiaupWYAD27cwv1JkIBW+dY2YZEVn2lwKMCvuZdShNz46FIyLxLSFy76EkcdOaNkNKEbEVC6jBF1/utc8qkqVXkilf4cbikkltPDp49Ly3z3gm2mIc6JvmGC202jISVq5Y+33buHIVXuvWWPHj6ugkylAXpvDasHMi8+mHF+ye0yp5qFygbdxPF3k37HeCGAtL/Az8pXtGIJIIg+3oUUhUFJqMpiOXW7RwrCpkNM0IB6Vi4HtpB9lixYTUFGZTLNCuUqQpewZ5Wedev3RjisdUb8a8V/ZHwbgU9kPKKxE6W55Ado99vTChgrw0rGb9oWywXh0vkDUIpfLOV2p8O6akQCmgvOgHOQ6aPmFDAfnisiie+dF8GyLByvU5FOVYUNkgDRmVoFHuvKUTTfS6lQwGpBlNxf21DImvATx4hMmZsj9VYM9L7QJ6PDQ0VJkby8QCF8CnPQVocw6gC+hk5VrRMzffRiOtY2X0MSuxjFUJLzAPILoBL2O+nZqRENvJEPAIrFJCMVYIMHe1Fygg/pEvKLoNAXpoyz3ITlmly+ajhsreXyvN1QjFdL2T8SaGARsBE5E4MCilRr6nfmvF7ruZbdaykI/LihgJKGRt5To6VZeQNGmxYMZOWrBn3KhTdj0bKvXXblCMwWZKwqT9ZqoDA5HkQTaR4Bb3keh0KSC/aVrOGdrhEFoEzo5nfTnxMy3hadR/t/qrPyXGFTC36MeFBg+Z+3HOhNqzyfo/7MkDWvETyvVEUaqUG1HGIkyynChjmPBPJ+0PP7sD345pPrTxWolC8wvOMQUDbbVjhiFHcZ8qxorYaodAGD6n5ue2rSSWTlwNkFRE2g+owknBDJXtRILjm24ZxvuFil64gmfAsMQg6N7STJKlvS6d7iRyrtACGNqysd3ae2EfmfjnhlbbHqszxk9IU75X2+o50PLWl3lWWV69gYjAS0DlWEeVYBekcK9rXyDruapvGyLT7EgkqvDx4bys2rKYgg3KhVjF+siiKd6/iDSODKs+Q6Td5cfrEZDm7dijJRNHrTZcOBRTFoYCEbHGJ6cmGCh4r6QyGmImhVf5NNyDDPM+b3U1aeay04SUk/rjwcVxy1+SvZ5kWr8gPdVThe7GoQ2RyrIqOvDZ8nTZ1rpMWXUjn8rhIGRdkjeXMfS+dYxX4pNqnvouExLiVh0feDy8O86OaU+OhSOQgeZ4qXiwS7ZsJoTxVQPq+pkMBk/vUfVVAkQgFdIsm29B5HWuqnTLiFTK1XBAP+iWSEvOAybXToYAZ26TjZo8hjCBI6/2n9SjKkPrQKsdq5ZoxrB8P9TbIYKJL3C0MbQxkmiww27eL/ib2TUqdk9WMTB2rplYFtK4NmRRPofXJ8HLrWA1iGCDAhtWUYiIHuO1gPFZtNlCUY1WcppTAeKwmh7pVq3CwyXKajVx+/ztUJRep0+0U1UqxlytK1KbZzlaz+5U8VhkTE0Zpk+k3/XAkNymHpx+qgPohmvO7FQr4uV/fhaN/s7DnfeoUMgQID/mTJmqAamTIKRyuKG83r86YCgU014gxdvLboud/naTF/eQgOSvHKpLSUmOTWkrci5cx0uhRIgzMeBSSg3CSc5fIUwWkXCJPFwieMWzKX5T1uJQljNXrTPutCwQTdd/PnPxQeUNxfpG0DKv4dwnl+bGNnXSBYDImzBjCQywIUipqxjKsYkNObas4T/yVp1yDI391p57kqMcFgr2EYZZhWMXvKvKYktpf1pZE7O0TwnjFXFVAgDxWwhTJpt+lUaZMeKyknDQKx1WZ/MU/mK6hZz0muB9lMTd8ew/eov2sIoxBM1qTJRTQnkmczNCM7kQYVrTFXk8mUJhIq62IOMwm91CQalSL/pqQnhJ9y6gDZ8+yMv3FLxEy2im2EleviYS6pvPl1rPziSYz5HUisjwY1tJamEFIqYUgivaWjM1UKGA8eNfiFVpQoqAt7YVQ8+PpUEAz6WN7uhuh7bEyimwqvE0t1wxNfk2k+4aUNyrwLLl1L08VELHHSv3/+Le/GAuXrdb72Wx2770aChPOCMQeodzrU+VVkZe3XvOAjPNNz3ijCmi8dEFseNviFRQWl2xD/d10cqy0rHkLbIOMQg+BYsOfWLRynfFY+UmPlfIipftJIZH6eojyw1yj2CAflyZksOb7+lrX10bsUaXt2TW9ssQrIiEH1mPVkWH12GOP4frrr8eqVatwyCGH4LnPfS6iKMKaNWswZ84cBEHvCnMy1aGbMwgG42I14QvtrV8U8kj3b5lXPhlU4118AXSCeeFNjv7koQZe2eEDvaZfUu8mQbx4ORWH7ucO0uhKbaVSWSUUkJbImpFku6r/9CMU0OQt9P4Eh5GMZ8Dz+jIYE0A2UiYn5IrluqHD3IyRUmwNUYhmOhSQCgSrv9WAsnjQTefaVgW02xUSqMf9sXOsmpaAhm00CZl8btLrpRmZUK7kJI3Ug2HlscoqIhzX+gqMKuAez90Mezx3M9XnAsOnHahALeEamzZCqhIYZFjVYo+VuzhFG0ShjI1Vs2/qM5kL5Ge8D0xInfnBj8MrS3msmuSJlolw1WLDn7YpEkZ4IsfK8XjZqoASxrhWcvTZx1LIWJ5dhggjoXMF7fe+Bw+1QHms6JrWdfAECaikoysmS754VdoKBZRS4gtf+ALmz5+Pww47DF/4whfwwAMPAABGR0ex00474Qc/+EFXO8p0Ds1U1VpcrJNlksAkh7bpsSoKBaxgWU22UEB6XvVzwLKhEWKnr/4Za8eapdcRUs0ITkgIqvXS6yU0a9syFFAoudpWh6JlKGDOwCyvb3nfDc5Qd9OhH2MEW2mr19DESb7HimakB+dq08ZRjO/nP0OMl0YNGKUsVqEDTKhmShVQujlWJTxW8cC0bqsC2kYNhSYi6X2yPVbkoaMQM+p6JISlmpcdCkjGoIwPhu8hNaCmY1fzfWVYOfvQdVVAq64XEA/Wcx66UiLh3aoH6SK1gPEmZnmsABJnMBrEWTm3WR4runY2NgT+64p/Fb6rdO5kLLduh4y2ur88y9NYj88P9TYtt64+yYjWHishcicQBT0HYkO9HvgJA1vCvk/s3GuhfyePld0+hccOIm0ZVv/93/+N733ve/jiF7+Iq666KnFBzJkzBwcffDD+93//t6OOffvb34bnefj85z+vvxsbG8ORRx6JLbfcEjNnzsQhhxyCJ554IrHe0qVLccABB2D69OnYZptt8KUvfQlhGHbUl00FE8rWwrDqfVdKkSUXXYVi8Qr12Up1CbA8VpMkFJBet7niFT04gc9uUAbVU+vGS68TCZJhnUCPVY9PGYWJlOmPXZzRhb5tZYTSS6mUx0rfP+kZyUFyWf3o2ofwwBPrJrobHdMfj1Vnz8wqhPEgKu9S6qdCYbegQSBRnGNlJMbDSOWjtAwFFNnHRMRhT3YooJtz4kLiAOSxcj1KOjRRWtEfUupBupBS57GQeqD93LQlvmngmwoFJFVAFNWxohyrtCqgawx2SqpAsO9h1bpxfPT821PLkseKUMZRtrfJfsbT/+1HqQcrx6ogFNBVBfQ9D0+NjuPH1y7G6Hj+OJWM6AZ5rLS0e7lHuRGviD3Mlmc08Y60DCt13ZhrIG8SRUh1zCMpdcggTTao4xMX0vaSOVbkvaVwUdfII2/qINKWYXXOOefgQx/6EL71rW9hr732Sv2+xx57aA9WO9x22204++yzscceeyS+P/roo/GnP/0JF110Ea677jo8/vjjOPjgg/XvURThgAMOQKPRwE033YTzzz8f5513Ho499ti2+7IpMd7H2cxuUMX4yaJcjlXrdsYnXY6V+uynx2pd7KmqcgyiON56IsZVJoy0txtXoS6t76lIyjgMo6AhmLyoou1Re2X65rZp7qnB4dQrFuHs6x6e6G50TD8SsWng3i+P1VBhjhV5PAbnanNVAYtCrWw1s0gYhb2iQ9/IMXxFHGKmPRE+zeAXeL8i8gblhQLK1AA54bGKpDWojQ0tYZazn6F2Lplp3xXHSA6o9X7pHCuR8kCUFW8oixKvSKoCbmhEuPr+JzDWTEacRCJpWAHI9BLqXDKZzMGjcQldB55lrKTaIFVAJ8fKNhzWjuUbVsYwU/tAu1gmx0pKy2MVeEnxC8cjS9sx4hWK0PLauUTShPyT3HotyPZYhcKoAmpxC0keq+R9MeVCAZctW4ZXvepVub/PmDEDa9e2V0x1dHQUhx12GM455xxsvvnm+vs1a9bgZz/7GU4//XS84Q1vwMte9jKce+65uOmmm3DLLbcAAK688krcd999+J//+R/stddeeOtb34qTTjoJZ555JhqNRlv92ZTQL7qWtXL60ZvWaFd7m/0pmiC2wwz3P/06fP2Se3KXtQsqTgb0gymnCGgvxlSj8UOfCkiWQcdeT8AF1alUf5XtBC0GUwCFSxTF+9NncUP2AKkVWW3KDu+piaLdyZXJRD8GCTRo7sf5VcVY8z3Sttz6oGAPnIEWctbxsrU4T0YbMs61ap/3MCcHzhQIjr1PGaFRLhT2llB4y8hvInEJCnPT5TqkTHjKbM+WbWQ1dd/ccxmrtkkTFplVx8pWBXTzngO/u9dHKIRWSVTHxPzmhrFLCQwFzhA4w5CW0uQcSZjwNHuSKnHu/HxVwKR4hZcQZygaX+hzoXOsKJSv3DuOwjnJK2RyrNJeSPpeSJnYj7yyInQchZDaY1izQ0JlrIDoJ+tY6RwraYpU232he2IQacuw2mabbbBs2bLc3++44w7ssMMObXXoyCOPxAEHHID9998/1Waz2Ux8/6IXvQg77LADbr75ZgDAzTffjN133x1z587VyyxYsABr167Fvffem7vN8fFxrF27NvFvU8RWYRkEOo9aIpd9ugH7ofjQqlFcds+K3FbMQ3FyHDh7Fqlf0L5XMS5pRnBiQgHps7fbtmeFW/WnqBhmWbENUeGeyJqYkPpzclzLvWTVujEsf3bDRHdD04/J16aVEN5rjCpg9u+y5DU9WZDWoJJQdkP+ZIgHo4SX57GqJQyr7IkRej5or4fvAQXbBqBrBhFpj5JE4EF7rFQdomSIppCmuK09kFb5V2YiloQW3FBDqtslnWNh94FCBJUIRnIfui5ekSG3TrjiUyL2tCT6k3H+tNy6dDxW1uSsK3jitkHnZdwNBbQ23yyY8LaL6tJ1R9tq9Y6TMHUUPdB162WuT/+jkFY72kEVF87oW/wcCIXUHsPA9y2PlePZ1R4rUyCYrkHXezalPFYHH3wwzjrrLDz8sAnPIAv6yiuvxHnnnYd3v/vdldu98MILceedd+KUU05J/bZy5UoMDQ1hs802S3w/d+5crFy5Ui9jG1X0O/2WxymnnII5c+bof9tvv33lvg8CVWa7JwMmXK+9/tIzNa+onfps3Q5tvh+1YcowEaqAWTNurVAhAt0tAFkW2adrvZXBRChJ2nwFNW0ItuhvNY+VebGlvhuMR0BHvOesm/Hq//rrRHdD04/C7EYVsOebsnKssjdG3w7O+0Z9JkMBCwxHGKMhjGSuQqg9eM9TbaR8raTcenEYtfLOmLbdAsHkSZFx+yQk1LAKzJPRQCFldvifHRZIdZpSoYaeCRkj711KFdBL1rGyCbzuvh9CIRLH2x6Yu2HsZAjbeMg+NyShTvtJ6wPGW0ff1zIiE2hZt0CwXcy4GeYfB3ovNEKRMO5aFaQmKJSPPFy2Ae+G39nf2++OICfiwhaxIbl722NFq1CBYCOKYsZ3vpculhyJ/uSl9oK2DKsTTjgB2267Lfbaay986EMfgud5+K//+i+8+tWvxlvf+lbsscce+M///M9KbS5btgxHHXUULrjgAoyMjLTTrbb52te+hjVr1uh/Rd64QUY/KAdkVNWpYUXP1Kz91fevc5MX9WOyDBC0odfH/oSi+jEgtaAJMayoD33wWJV5uVEoIJDtQaUXWKt7sx0vgDvLrNopvfrkoI3+Lnl68nirgP54rGjypx/PeOORzv7dzaWY7NC9ZY/l3Fl0G5ppD+LJIwq3c7EH980c8QpTINgSr0Dx8yuM0kINrseKpL+FRCx3nTSspDQ5VhJm0CukybEig4iMKHv/fR+xxyrplbD74MUGRJjlsSoRRl0FMiDs9omsHCvXI5InlW7UD2HJrdseGS8RXufuUr4qoFmmEQk0QoF7H1+T2i86po1IaEOE2ihzexkDOllSwA0lpP9Sfp/ddp74kpRKpEp5rJJy66Q0SXL9USS18W/qXJlJBbv1KSdeMWfOHNxyyy348pe/jMceewwjIyO47rrrsHr1ahx33HG44YYbMH369Ept3nHHHVi1ahX23ntv1Go11Go1XHfddfj+97+PWq2GuXPnotFoYPXq1Yn1nnjiCcybNw8AMG/evJRKIP1Ny2QxPDyM2bNnJ/5tihiZy8F40elBYJvrk7s7y7GjZxfjv4uOiX7BTJLjNhGGnq49UWGbLQUbekinipJlkfGApXX9KZNUndUnWr2VE1IX/a3gscpSBZwcV3Jrei2X30/6MfvasAYrvaZIKQxIej8GAepmskBwvmodGSWJOlYZ+TX2aQ8LxCsC34SGUU5T0WlsRo53xg3rklQPSw1wa76fUAWkfBdSBRSOEqD9niHDwZVStz10ntdKFTDtsXK9FJ2irsmcUEDHY0XnL9GfDEOa8mhtxTz1vfpbCFIFNL+7u0TLJj1WXqJ/zUjgwtuW4oDv/y21XzR2Ux4rk2NVZPjb/acQSTreWtY/J8eK8qnspoOciIso9oZKqfZBFQhW7UdC5aV5cZuUiwgki5nrcFSnL4NqWFUuEDw2Noaf/OQn2GuvvXDMMcfgmGOO6UpH3vjGN+Kee5ICAh/5yEfwohe9CF/5ylew/fbbo16v45prrsEhhxwCAFi0aBGWLl2KfffdFwCw77774uSTT8aqVauwzTbbAACuuuoqzJ49G7vttltX+jnIdGMGcfGTo1g/HuoCf72kW3Wssj1WyfpDYUH+lFlmcoQCDoLHimaqhoLuxtCXxQ7T6O12yolXRMLUTBFSInA0K+neLC1eUWLHtBFmLSr1cRmMwe4gKcq1oh9DhH4WCG6ZY2UtNwjQMbPPkzJLsrHD3CKhcl+yFOHs/c/LgSMDhAwlEqUouk8pFJPwHcOHBqbNSLVfD5SRaHusaLuUS2ZPxtgD4MCzaxtJLYJg18nyMlQBtfEZeGhk1rHqrnc1FDIRXpcMBUx6rMjjmCR9PUdSYiSIc8lgBBXsSSrPQ8JYKS1eYfWvEQqsWptdzkQI6PA6ZYjEvS2RY0Wh6jXLC6pztBwPnW0kZ4lXqGVk4rjRtQUoj9r04Zrer9Dqrxav0GMJE7ZMoYD2sR/kOlaVDauRkRF85Stfwfe//3289rWv7VpHZs2ahZe85CWJ72bMmIEtt9xSf3/EEUfgC1/4ArbYYgvMnj0bn/3sZ7Hvvvvila98JQDgzW9+M3bbbTd88IMfxKmnnoqVK1fimGOOwZFHHonh4eGu9XVQoRdhM1IJhO3I/77jhzdidDzEkm8f0IMeJul0cEx7l51jlawBUZjMTx6rSSJeMREeK6NKVM64NPKuE6sK2I8CwTpMpMVy9LLJehGWnd2v4gWgJexjQNf5gNhVhRMeE0kYCaze2MRWM8u/V2gw4g5Mukl/c6wEZtRr+TlWFSYBJhNlVQHt2X0Se8jKsbKNKF3Hylkoit/HpFI3Ug/ior35/WxGolwoIEi8Ig4FtMJFbVVAIc1kjC23TnWsbE8NOXBsUQdYIhV2HygMLCsUMPC7XMcqEggSgh7mtyzxilQooJceCwgJk2Mlbbl1BYWy6VDAjNpSOpQvTIYCuh4rMpTd8VkkVdjthkaki0mr/rae1PM8z4RI0vI6bDEd0UAhqVImf6sFyfOv17EM/PEmeax8vd/UgmtYJXOs6Bo024sG2GPVVijgS17yEixZsqTLXWnNGWecgf/4j//AIYccgte+9rWYN28eLr74Yv17EAS49NJLEQQB9t13X3zgAx/Ahz70IZx44ol97+tkhOoN0P/boaiIXbcxdSLaW58GL1kPbj3bVsJ4mwixiCImwmNlJzKXWl4aw2oi5JZ1mEbPPVbZM5QuVNPL7luynXIeqyoy8tmhgHE7AxIM2Jwk95zLD//6EPb55tWV1qGJ9F5ONGR5rG5b8gzOv2lJ17dlJ61nQV/nlYWYbNhS04Rb58fGeKxIFdB4cGwiKXHxp1+F7eaMoGl5i/R24/8H1uB8uObDy/Ce2DRCkZAL9+NwvmT/oA2CehCHAiY8VqYGk5QmxyqS9gBYJHKITB6WGYDTWN1VBZQwoha5oYBd9ljZcuueY7jY2LlK9vLpMD6rjhVMyJ8tBOR5JvUgS3KfdnE8lWNl909qQ7Dh9lWYmlu2J0d5oNLHgfoNkCdTZHusnFBAtS+WSqTVnjb6Mrxx2rAKBWq+r40w7bGCCTtUy9viFmTMOXXYxODKrVf2WAHAySefjEMPPRSvf/3rU7Lo3eTaa69N/D0yMoIzzzwTZ555Zu46O+64Iy677LKe9WmQEQJm1kNI1IPqbfglkyW7AW2nY1XAjPWlNJKiQHHOiZ65myQhLRNh6LlKPq2grtWD/OT2XqI9Mz02IGiWutXgkeSO1TrFyxW3oz5LeaysF7/b/qA4ESarx+ru5ekE81bQIEHVeslf7td/X4p3vey5KSnoMjTC9Pk99g/34v4Va/HhV+1Uub0iQqFyKzbm1LarErY6GdC3lDWWKwq1IqMk8M0A0vUgSCkhBLDF9CF4nqfzdLPyHn1rcD5U8wul3gFgrCkwYr3EAz95rKVM5tDU/QJVQDIc6JxFSel134OuuWRP2NjS41mqgEIaA2JDI0p7rLzOcqxWb2jgv65YhFMO3l311S0QbG0wLXGfzFWiz5THUXv+pN5Ptc/qdwoPNG14qecWGXG28p/veYkCxbQdQBko9rmNhMRwvKwKqYz7XWD4k+cwiPsTBLYqoPF4uaHivmcMTPs3E3GR3E4UjytVvyPUAuPdVMecvJZK4CKKnxvGY0XGXHKCcpDFK9oyrH74wx9iiy22wIIFCzB//nzMnz8f06ZNSyzjeR7+8Ic/dKWTDPDLm5fg0ac34Jj/aD9XLOGxavNhFvgeRJ8GO50WM6VnambolaCwjfIz/1Wkxu9c+iy2nDGEHbecUXqdsmiPVR8HnVXz84zHaoJyrLqofrdq7RhufvhpvGOv56S3ExvoooUjl2Lc6f9ZvwNAq0tMD2oKljvozBtx3IG7WRMT5jejZDUYUF7jZOtvOy98Nzcji42NCF+7+B7suMV0vOoFW1XehvZYWSd9Y6M3UQaRUGpgrcQrBqVAsD3DT3jIf4YYb4zxWAV+8lpVg9N44O1bBYKtY0LPR9/3sOu2s3D8gbth+lDQUvFtrBlhpJ70WGXVAaLzU68po8cWryBjkDwZeuJGpkMB9fWrn63GcyIRG1BBTo6V76MZNTM9Vp3kA97x6LP49d+X4rgDd8NIPYjl1u1QQPN/d1JQ1eGK+5EIrUsuR9EG5LFyxSvok3aNvHOJbcVjr0ZkJiF8z8P0IWM8hVZUg7s+hQICyjgj27HI8Kc2vNh4VXWsPG3s0vFxjXxPG4lOjhWFAqZCJY1gyHioVAFpP0IhtEevFnhohErVcLgeJIplU/ih/V6bUuIVAHD33XfD8zzssMMOiKIIDz30UGqZftTsmEp84w+qwHEnhpWQUocOtDvY7ecYmQatnebJZK1uQrhomfxt2EpJZTn4Rzdhpy2n49ovvb5SX8swETlW9FIqK+Bh51hNxMCqm56Z0696ABfetizHsIof/i02RGFTdt+y+ts6x6q1F+Afy1bjf+9cjt22nQPAybEqcb1PJmiGf7K9Tdo5fLQPRV7fp9er5PV2BxSNUKRCatrJpS0DhV3lGx6D6bGyxy5FOVZkNBhp6dhQsI0mQcp7pNoXf2+1SYPJwPNQC3wcvt98ve2iC00ZVmZg7oZ10bOJvqv5vhavqMc1iaLYGLTrXak+JUMBfd9cR/bkjn4/S+VtS3us3Byr5LXYqceKjI21G5uxYeXIrScMq/wcK9vgS4e6JXPJ3Alb2+MCZKsCklfH9lh5HjBiua7t0LeGW3NLmLFbMxIJj1PeJULjlSA+JxRuZz/7yYNl77sX/yCs/ZUSuaHsiVDAOMdKi1dEUoeJ0vWZ67FyPK6DXMeqLcNqIvKrmM6xa+m0O9jt5yvSzLh13k5e22XyuNoNBVw31puZ4rwQyVaD5WfXN3D29Q/jq299UfVt6pdsuWNAy1NcfxZPjY5j9kg9EQ7RLWiL3VRHyxId0HkGLdallzP9P+t32kZxH2j54uXUzKTMeHHG7bTo72QhzMgZmhxU748ekBXcQ/TMcHMsytKMBIZrQWLwE5QcnFy7aBVe9fytSt+PlLTeMsdqcqbJpcjyWLnJ/TYidtPUfA/j8Uy8K3lOBhcV/NXrOsaH2lbyPJXzWNmhgF7SYNOGnvqbBrPNSGCkFoCU/0xOjRWZIGViQtEOdaPnuYQKuyODjEL+7LBoISy5dSFTEyS+31lqAb2PSEq9EYrE9Wufy+zwPCtZCdnPciNKEk/yxPlmtJwKBUQib8ltRMbGh6sKmBCosIxZ17BSHit1rm3REvI0ZkH5qSrHKvZYxeeZtpquO2ZL/cf5UL6PRiSsciHJ7dmThhubEYZqvqlbJeLrKL5PVO6eMjLdHCs3V3nKiVcw/acbhrt9A7SbL9TPmW5BLvg2h4FmEJr1W3mjjV4a7oxXKzrNyXp2fQN3PPps6nsjYJD8vtXm7lr2LM66bnFbM4RV5dbtUMC8geQ+37wap1x+f+W+lKGbIW/08tvYTOeSqPowrZWZWhYI1jPZxQ3ZM8pFUDJ6zbnG9UuxRX+llLjj0WeKF+oDWp664olMhET1wGPalsfKyrHKgwZ/eXlLrWhEAsP1pLFTtquHn3sbLrj10dLbCoVEvVaQg2QNnAYB6qarClgsXkEeAaHDxBLy6vE7I7AG0a5H0YQCJtv3vOJ330Ynx0qFUlnnXSa3VbPk1keGAkQi9jqRoSCtUEBhhQKKpCqgKQ2RFq9wPVZkdCiPlUjto9vnqozHz2SaiHANq+IcK8DNsfK89POCcn3oWy/+Z67v+LuExyptxNUDLyle4exLJI14iDuxkptjVcJjRaGAqkCwp43p7PWtsDxpctEBaFEQ93RJCe1N29AIdT/JU0bXhh8b3UKqsEa3jpUrHEKKlYNIW4bV0qVLS/1jukc3LjDbZTsIHispk+ET7awPZO+reSm0blxI5XmpmtNU1gj5/jUPYvmzG1Lfn/Tn+3DIj29KfU+tZj28i7BnlapCD/yykvM6rr9gRhsA7nt8beW+lNt+sh+dQHfeaIYHkhKOW20nkqa+Sp6hD5SXW291aXkwOSBu3gXQ+j6+b8VaHPLjm9se4HeLPHnqVtjXabvenyL0bHWFfukZ/4KTR311i5mWxfZGEFXugQ0VzjdN1OW1Lq3lBoHM41QQjUdhU1RfiDwg9u7SO8P3jcfHLUGhVQGd2Xnljcjv7zPrx7HF9Lr+2/WukZqdHZYdChkLI/jaY+V7RrzCDklOhJN6do6g3T5iUQfVYVcVUBkvRkDB9coFfmc5uGNNY1DR57AVXmd7hJrOwbRVARM5Vs42hESqVmFSUdgUUKZtZrVRD/xUgWAA+MH7X4q9tt9MhV/G10vKYyWsHKvI7neBx8p67inBHOVWEyKpCuhGNCRz7kzeVy0nlJ1KBQS+h7GmMWzVfWHlWMWGFoUC0nVicqySzwrVbuauTXraCgXcaaedSuVQRdHEvpSZJJEA6iTZ2WpmXGTXuern5KOQKjm63RnPIvELEwpYrp0hx41fhrIertOvegBrNjbxDSd/7unRRubyefk4ZQdQ7RQ6jnTCc7l1aTFVOyV/uarHtCz6UHTheqWX3LrxENtkbKdEihWENMm/RTlWrVUByxlgXjwT7NbVsQcDhduJT8voeIhpQ9kSdsuf3YB5s0f0C7cX0MC06jPALgbaizBC2xC2awmVoejchfo+a6/PjZA8VtaXFZqqst1QKLnvvFUGVRWwbB0rmrgIfDXpRjlHyYLAlscqbnco8J3JjvR26e+iQ7dq3TheOHeW/jsd1pWc9KG8qkYkMK0eJPK/zEBarUuGot0X6p8ZEJsCs6SMl/JYxYZbEHhoCoERZy4/6NBjNUYeq5AmJCLtMaF+E5HzriGDSfWTlk8/y6VUinp0HXseGWBmkkqFAnpmn9xJT5EeQ1DXDtxzO/zvncuV0ZHzfCcBjcD30AxNjhXSUYcaO8rEeKySeWKuMSNi95tdq4ueb0U5VhTKt6ERYihQ74ukx8rT4ZSRlBiu+1aYtwkXTYTRysENBWzLsPr5z3+eMqyiKMKSJUvwi1/8Attssw2OPPLIrnSQUXQlFDCeYcqL3XbjW/0+pYxLKfE/ty7FIXs/B9OHzCWZNVNUhSKvhZDxg6JE21ImY4LLUmX5LAMjb20zY+gsX3Jz7YQokgOg7Lo6/MT3Cr1cvRK5KWuolIFm8fM8VmUMdBXWWiReoT5b2Zmt6ljRy4rucfdlpQ2rFv2lmcIij9Wr/+uv+OKbX4jPvGHnFq21T7NNQ2PMKgbaC48JNdmMiqXTbaQ+xwWGVfxbu2HEzUhipBZkeimLsGePy0JGZVGoHNCbUMxeQAPlsjlWWmI8MLkkrveaBvy+lWPlTjbRsc/KsSqaUFi1dhz7WcqR6QLBSHusIhUKOGvGUEIVUBeEta4D+7xRzgztNy0TxB6eeDweG3ci0QfP87THyn3ed1rHaswNBYyStb3sSJ+0KqDpj85ZyjjfZhwSG1aIPT+J97DxSGYWiZYmx4qMT/t8kzGWl8tM75nAT9YDcz1ONvazM6Q6Vnr57FBAuh4QHweVMmFC+9Qy+X2jHCsg9lDFsv1ePO6kotRDgY/RMNTr215T3a5IezgHhbYMq8MPPzz3t6985St4xStegTVr1rTbJ6ZH0Ay2HR+c+N36qt06V+2wdizEN37/Tzx382l4/S7GJ+DKxValaHBNL8Ey3huKjy4bBkdUWT5rF/MmayjZM8slX2Yb7Qw06WVZNhySrjXf9xA1849xrx6b1MtuTJbTCyqrOLYyXlp7VW3PRp4HVf1W3E6rEEcaYFAsfV6OVUvPWHzK8ryu6+NjMTre26gEWzmqCrbHqheGFbXYiASmodyDktYpEwrYbo26JuVY2YViS6xHBkCV+yUUrcQr4hnzAfFYUTddVcC8e5Jm92lmngbg9vGg61c9C9V3rqAPLe/OzrcSxXlqdBxbzxzWf7th864qIG23GancLO1Ni/tGoV+AmuCx21LKger/doHgpFpetiqgnWPljpOV4Vewky2gbTXyxCv89LJu3377iX2xWRxS6Q7uAeMtEvr6SKrrUQ62lzCs0sZZLfDQDNV7IBQycSzoPOXlMpNCXt33VI6VFcKY96iwi4VHwgiQRFIm+upeixT2KSWFMMY5VjriIn18yPAeHTeGlR0W6sEY+RTWGG007zw6polQwAH2WHU9hmPGjBn4yEc+gjPOOKPbTU9pvC4MQc3Nle0Fynoh9AMasI47uT9SZs/+lMUMQrN+M7NtZdpRyZa9k7fKeoDkzdZICV07xaZsGFk74Xe0SlkjNxLq+AZe8YxkryakWnl2qkDHOct7o/MMWmzGjlXP7FMLg8lup0h0ZTw2Yuu1OCwlNYtNL7Pi/tK1nvcceHKdkgXvhaKjTVZdpjLYOQo98ViRwVehbTr2ZcQrqk7iEI1IYLiWPXAvggzRKgMZyrHKeyyW9cJOFugw2YfAKwhqULP7JseKhBrs00sTdxQqBaRLUBiPVbL9LCEFm9HxELNGzNx4SghCJusc1eIaU41QYNpQYIkbqPEFDaSBpJFFbVMekfHUkMfHeCWCIBmOSB6Qmu+hkZNj1YlHk/poQgEd8Yr4oGZFnFAI2r/N30KHVHpI3y9uSKUHmriy99ESr8gIHyWP1XgkUI+tvYTHKr6GckMBUx4rxG3kT8bR+SWDrRaY80dbdj10ZCDTxC2JfKk+Zkdc0IQC9Yk8hmRkqzbNWE5IJcThyq2n3lViiolXtEIIgZUrV/ai6alLt0IB45CELLWhRHxrH4vPUojVemf2u1OPlcmxytpXEx/eCiGTyZbdxA7dcskzrIRUD8n0w7t4W9T/dvbDeDrKLa9rt2TM3tl0Y8IgC63Y1IW26AWQJfqhr6MWW6KXc14Ybtnjq8P7cha0VcgoxMIN9bA/89A1bHKeA0+OKsPKTbLuNqFWBax2JkMhdfHUXnhM2hHVoEWL9qXd0EeiESpvhL2NMvcYnceqhtVQkceKSlkMSCigHjhbz92iAqxqgKrep6EQ+llgn7uGNqw83e5QhuHrecntArGxU9Df0fEQM23DyqkDpN6f5lpS77D4GqkFifwvZUBK6zmUDgWk/bDV8AIfxaqAtsdKiJTx2GkoIG3KVgXMyrGaPhSkJhRto8Fe3u2Nmsi0nrlZHiu44hUy1YaqYyUQBHQsre2SYWUZQ4n9FBR26sfiFSZ0Me/o0TOKzmUQFwi2VzAeR7MvvpUuojxWsaGUkyNM61Cu7ZClCkgTDur4OB4r6zqyvWQEiWIMIl01rNauXYtLL70U//3f/42XvvSl3Wya6QI6FDA3x8r8v5feGZfR8SYAJdVpo/NX2nzuFg1W6aVTRsrd1KDo/gDBfvG65D1T9OBaug/v4v41O5gNrzrApdkmt2hlil55rOizmx6rTMOqnNx6ZB2PojDc1uGcqihr7mAvvm1l3GbNMWyreByB/OfAU+v6ZFhpA6baelTPCeiNx0rnJLXjsSrYGRr8tZ9jpQaW9mkuMzZpR4VQhQLmX/v6mu7gHrzkruV4dn22iE+3IQPHxvVA2ch48sjOsXJn2O0irXQeaqmZ+WzV31b5XaPjIWZYOcluGKIJTYy3Sx6rSKkCkkoeGX1CmuvZllunvrjbSOVYeXH4V5TsA2AVCIZryHRmeLv3oeuxovfq5tOHMgUh3MOelddGk2LJeyppgHme2VbgI+XFjSSlEwida2sb0hTZoT1WMt3XIJ6obEZCvzeLDH+7VEUoZJxjlbzO00qPVrHj2GAm45MiLtwhEx0faosMWxXyqFQB4QGBR5LySAh52DlWyTIE3VHDngjaMqx830cQBKl/m2++Od7+9rdj+vTp+NGPftTtvk5punF5RfoCzn5gJzxWfZxlpKKYbr4G3dRt17GKP7NzrCg3pnU7QqqHRTtqeq2g0K2swU9esqipT+S+AIq3pQepbZxbHVdfct3IetgWHbZePTbtF4VLMxKZ+VJ50AtgLMdjVUa8gkJivJw+lc99koUSxXaon5QqNCcRHaSPS/F2jGGVvRwJeti5TL2ABgdVDeQwUpMhntebZxn1q4rRYPJX8tcx4Tvt5lhJDDty62USwMmwqlJSIhJKtTV/8K8+Oxk4H/2bhTjvpiVtr18FukdtisQBaHmamadngY3tFdIDVDcUUGYn6XsFIcYbGhGkRDIU0E/m26jJQxPCTpODzUjGoYC2sIa6x0woYPLatj0kCZnseOJGQrbMsbJzg4gsBb0q6CLG8TYbYVK8Yqjm47vv3QuvfN6WqQlFkXO+3e5EzvvWiFeYZy0922mf3D2iUMBGJHSukr1p8oiZqBJXwVA99+u+h0boildkHxs7FJBUAaktuw4WfUefFNZIoYBkUOUVuKcUE1ou5bGSRthExt6z4VpgeaxknIOVfP8JMbg5Vm2JVxx77LFpt7XnYfPNN8fzn/98vPnNb0at1lbTTA+hB39eQq59w/Qzx4pmvV2PgHRm3KpiKxylfpPlcmNo2Xrgp+pgdIOG9XJzseVtbUlnMgobYTp0sohWXojidauFPtGDPPCL+9UFh1JOu2a2zuUrv7sbl/9zJe4/6S25619853IsePE8zBiutcyxKhp8ERQamReGS9+0Oh4UmpGf1xK/rOKwnsDzMC5Fxu/F0HnOG2h3Wm+pLGFOaEzL9YQawFD+S9f7VVHMBTCz2EX3EA3E286xikOhEs+qUh4rdW2XNeikVIO1ut998YpmJHT4EQCM9dh4J9QAOfmdB+TeLDp3ySfxinTokv1816GAjiqgkNn1etR7ulg8ZsZwMsfKzW+yvSf1wMe6MRUdosQrGvF6ZoCuB9ixB44IrMG1HQlSRhWQjM/QUrPTfe5SKCDtdyMSqbzPg176HPxj2epMYyUzry01kZk0YMg7Rc2RiIk2dpwoASmVcVEPVChgloiRCgW0w/WT/SLjJQjK51jZ+anGY6X2w7PWp/brgQlv9eL9orQDALmqtiK+znQ+m5tjBarzlQwF1JNmiL1kSL6vo4z7aVBoy/o5/vjju9wNphXd8IhSnG4Z8Yp+eqzIiLNjoOlh0UkooJmdT/9mwgxbNy6lqVrfbciozGqbzrlKPDXfU/jZmLNKq8G9mf2v3k86NWXXpfCWVsVzexVyqs99xqjozqXPtiyS/IXfLsS3DxZ437/tgFBIzBqu5YYCBn5BoHsMhQLmh+GWMyBMfl1rLwHlENhNFnnybIzsd/b5IaGZnhtWbXpZlQx6iVDUNmmG+ZM2eZhznH/MmqLcdZCHqmMVYDweQAPlPFb0HCo7eUSL1WtFoYDt7cvOX78c33vfXnjHXs9R6/cp39eeySeKQq0kTB0rI12eXCaMzKw7/eYqKeYm6Rc8Vshgsw1Q15NNA1o6/jXf05ND0xxVQOVJN8aUyssxXgfqnj3RKaUJ1afBcWaOlW/WS3msHC9bVVxBGLdAMOH2y/Qt63ynt1Gzjq0Hym2yDAMgcYzsS4b+PxT4aEQSszLklikUUOQ8Iyg/vuY7OVbIv/8oLDiSEpEQ+jzTPgB2VIx1TCjfCWYSl5bNMjxpXEn7n1AFjJIeq0iqfRmyPN1CX1/JMZZ6Z2bv22SnrVDAN7zhDbjmmmtyf//rX/+KN7zhDW13iukNFKdbLseq/4aVna9Bmy/jDcijSAGNZtLKtEw5Vr1Igqc+Zs1Q00PPTbolz2PWzFoRoRXTXJWo4gCXZpuCFgPbXhnwRfl19mAkc10nDC4SEjNHapkeKxp8tNoLKY23ONODWlJ1UcpsRUjCnvE0oUnJgQ7QOrdQH4OcQS0ZVO2GrJWl3cmAMFLelKyQ2a70qw2Dz8yuF7RLIXlt3BdSmuKv9oRRlRyrsvtjh5e1NPLbOP73rVirr8F+zVor4yD5XVGoFeWq2B4r20Cqxfkw9B09z91jlhcKWPTuE8LKedHLJ70XdP9H0oTjbbAMKzqHuoYQkMjxoRA4WgZwQwFJnlzqcK564CcmW2S8jBFsSIfedfIOMDlh2XLrRBB4qWcZSZgn+0P9dgb41iQs5SDZE7e2OElWoVtAyZU3wih13gDyWAnLQ5/eTwonbUYiV9XPJhRKfY9UAen9Q/tgf0b6vYCE+qOQKqeX9isvVNL+PlHHSkh9X1EtMBF7rGg8IuPj7ka3CDG4Hqu2DKtrr70WTzzxRO7vq1atwnXXXdd2p5jeQLPr5OZ1MQ+O3g+YbOgGSxpWqi9lvUpZ0PM6b19rBYnXbjv1QOVjlfFaVfFs0UslSwKdXsjuC0FC6oTpZD9pEJq9/ab1QqwKda9SKKCXb0j0usaNPavq0ipumwbNtpDAzCKPVU5orQ3V+sgL3SidYyWzFSGz2qEXvuuxKsrdIPLqqRBVB+JZXHr344UFiFX71dX3AHUOa4HymPZikqjZxiSFmV3Pf7YaD1315y+dk2lDScO7iseqbGijXRsp/1okcYJSTSYII6nvQw/AlfeuxKcvuKN6QxWgJHqbYgGJZI6VlEkjUA2CTZhfskCwPYDMNh7Vezq7r6EQqXVcI4WeTeRRoAKuQBwKGHtd7bxr/c6MDUWahKJNJUMBY+EeGPGKmSM1HaZIy6j8mXReEbXXjVBAusfHwyihCkjUfT/1HMgMBUQ6TI+8NvSdBzJiTTuel/QC2VvSIaNxjlstY2KvRqGAOc+IKL5GyFhPqDTmHD5V007lW0aRES6zof13vUdqPk7qCUHqo4f0u4MMeOqznWMVCgHE1wYZ5ZFMqizTJLe7L5HM8eQOAG2rAro5VjYPPfQQZs2a1W7TTAZdrWOVM4urwzuC9EOol5jaLcmZLqDYG/DXRatw0e3LctvVcr85HoK8fJfUstbMXZmXQDsJ7VmGFb04m85DVkhSe3PbUp95Wy/KOWsFDfTKGrlkxLvyw25fq+SoVEGHabTRPPXJ5LiJXI8VvXha3S52qYNMb3H82aqdPG+l/bv6NPHx9rKq1k5rDxtdK3k1zxolDKuHVo3ivWffnPv7Z351Fy69+/HCfhhlq2onMowkar6fKJDaTfJmlougXhT1h/a3nfuCwsOm1YPKkydavKKkFUTvh6IyFOq5Wc3TbwsE0TXmeR7OvXEJLruntyVcqBaTTdEkBIVNFXmslMR40lvjStTrcGKHvJB9Wsf1fNjXOuX1UA6T76nogY0N5TEJfE+/V3Tol0x6+m3xgIRYAnnXhQmDlvFvs0ZqWoyK+klGnTqeTp+97tSxojbyPFbkEbLJlluPf3O2kc4VTj5XPWQbn2o76rMeK+GReIXdGq0T5byjycioBY54RUEOcxhROQQjwOFeZVqQwjFyKCRSSiOz7vvZE6XKcDf36/Q41NGPvV4kt65FXshjZV2rnpeU8qd2N3nxivPPPx/nn3++/vub3/wmzjnnnNRyq1evxt133423ve1t3ekh0zUSdawy7kW6YYYCv2cD3iyalhvf7UtRzZ6PnHsbAODd+2yf+bsZZGb9Vlxo1W2HZu4oybOIdsKDsgxZeqS47cl4wJL1gFO/520r+RKqQl7hwtzlBcXWZw8+y3po2oWabUdRkowJeqa38liVqWNFUsx5oRtlCxqr0IwSggGCcqySCmRkmJX1WOWd7vEwalnb7R/LVuPWR54pDOlYs7GZ+T3Rjqy5Wk95rGod5nDk0U69qTJ5dO14wghSGB1JhQJW8FiVvb/j90OtRRJE1QKwdhgZ9cn3jNHYS8gDZVMkIKF2iwaMIjZkzO+1eCBNxhYZQnXnvolE2nMCJKW/b3zoKez3gq30b6FIz+bb7zM9MekZWfEgUB6roZpvZLthpOBpIE19Uu+9pEFkT8rSYF3C9HP2SB1Ln9mAX97yKD74yh31MTUhhcl9dGtvVcV4eGLDKhKZHisVkp78Tnnvkx2iv4WUCGD+nxavSEaI2KGAJFVutqP+oKK4maGAnhF2ANITK/QMDXSOVdyXgkS8UAgM131LFdDXEwf0mZJbj4tcU1STMuADfQwzc6zi/ad7lzxyFG1E3kzKPYukCVFUx8+EV6ZCZAfUsCrtsdqwYQOefPJJPPnkkwCAdevW6b/p31NPPYXh4WF88pOfxE9/+tOedXoq0g2PqBGvyBd0ANTDtJ/iFbaiD2FeDOXyoLJoVSDYTTItaievOF4WVbx9RQNH+iqrWGBWCEUrY8WELpTuntXPauvaMeFFoW8981hpIzLrt+J19XWoPVYSs0ZqOXLr5etYeV5aEtm0E3+2OMA0y5rvJTD9kkBK+ZIMvLJy63nLjYcC04aCwvpS9E4sEgppNWAO40Fn1Wu2GanzQsVbu007nrS8+9mmHU8YQcp+w7VkeF6W4lzeumWFIujZkzXBQ5DHtMrA2Z5cs6+NPM9pNxEy/Z7NEjMgtMcqzt8R8UQGUfM9NEMzOKTPes1PqwJmvOC9+P20Ys1GHPbTW7Fq3Zj+LYykzlsi7MG+OzGpPVaxYeX7JueIcmpI6ZHWJ4+jasdsw0yyQfdBQh27zWcMAQDuevRZa9+MZ8Tdy05zrBKGoFBS8pk5VhmeHco9s6HTkBjgi+QEAhWFpiWEhC4arLblGAiC7hUKBc3un21YpWpuxV6zug4FVN8Xhao24tIL6v8i3n4yJNOVWydDmCbfpdVvUrV1TxdFQrn3KAmnSPtvKREJaI+VjK8zGpfabUdicOtYlfZYfepTn8KnPvUpAMD8+fPxve99D29/+9t71jEmSTcm9k2yZl7ei/rsdyggDVLslyrdjsrV3V67RR4rowjUunH7BVPmJVBFxcrM/uX/5o4LJaDzw5Qb3Zl1ytl8J16iSIhk9flWy8fHN09Ol77q1XVmZuCqQ9cjPdLDSGLWcB3LN25ILUsvojKGVaF4hT43xe3QLHLe9oyhbryyMrF++ruidvIGxeNNgelDQbHCnZYOTy8jrRd5EWEsn9yO3Hot8AvDJjshbMNjRYPMQo+VaN9jRWFQbvgtDZ7sZ0XWuvb2W0HtDxWoAkqZ9s60gma9pUyGmw61EJzpBpQPZFM0cCVDjIwDNxTQj8PttFR5/FvdmWzKCwUkrwEdB/JI0jpp8QorFJDaiAezNMk11lCeZt9T96Udoidl8h1BhjG1Tfugw8YETSpJSKlEup+z2TS89SXzMGd6XffD8zxtcLoGZFWPpostNESGeNa1khWSnp1TR/eK+Y48/xov6U2UkmpbeXqfks9c9VmPDT7yAtobCXwfY80w97lrT1SGwtzHRYZ/GBeCBtS9ZOdYmTpWpn06JrQr7jVQ8/14+eQGpSRlyeR4ipQg6blDQlbCup+FjO8jpMVa8u6LQaAtufVHHnmk2/1gWtBukVwbmvXIe1kYj1Xrl2HRS7oqWrwisl8c6rPm+x2IV8jCfS3jaQBIiY1ikVsvX2WG3I5Xz+ojkPGQlcliffScLu+xasewKlYASy9vxCuyriV7prEXFB2LVveSq54YFuVYgQyrVveLCbnJWrSMN4P6VOyxMtcMXSduvL89KMjDTizOwlacyqOpcyezru34s8X+hkKWuu7c51EzkqgHFKZVuGpbtFUgWKjE9cJjFtJgrfp9MR7XsHJz6OyQ4rzQPdugKUNI4WUtPFZ2yFkZGlaulzb2LC9EL5XCpEyLSDhRXcnlQWFuJGltji+FPjWtfBhTINhLhDxmqdMBRrV2/Xi6GHco0kaBKywBkCiCKuQc+B42NCPMHK4h8DztDQaMEWeey+rdRCHwyVDAeBlp8jVJwAEAXrDNTDw1Oq77oa4TJNqx97GTV4D93NSGVV4ooHOd0qSYjWf9ZraRNJjJmKZlKHyOjqVrINC9bNT1fNMQ9c+nZ7bU+2MTxde9a+gWGf5hJHVYZCNUaqG2uqPabnJSVkjjsaLjYHstsww5HbLnXMK+r+5XCZJbj72i0tzPoRDW8UvLrZcJY56MdFzFd926dVizZg1ExmByhx126LR5JqYbk64UQpb3MKMZuFrQOnzGHtB3SlYdK3pY+CWNnyxoxjTbsIrbLtGOkCYUoJR4hUg+VIsM0KLcpbywALsauh0L3soL0ImgQxQXXC3rjKNBVdDCQ9OrEB+9yYz+ttp/rQZoFaedNVLDxma6r5TY3OqwUNhJXl2c8jlWKpSkpfEsTChPchawnDy8lt/N3Y4yEooeE2GBx6qV4WYvN1xrbVi5zyNbvKLboYBSGsW6KrPtUsZiDwX7olUB2/RYDdeC2Hg369uSynkv/DJiJDaRDrXMP4dCqsFklXDfRhTp/oyH5vqhAf5YGGH6UMfDlkyyPVb5kyaUdB/4FApoJuDUQFKpAuowOivHaoM1SaPyNNPtk9dgY1OJQYzZHiuR7bFyoxbIU+N5po7VFtOHlDctTAprkIFEfaKcbPW72YYdLqjzNaUZrA9ZkuskEkXGhPsq7FwVMJ78iqT26GXVscryjImMgbs2KOA+M80ynvU9fXqe8QIpAwKJ9QFjpNb99HiAPIF5aqzG65hUaSSZ/CwakcBInBDeCAVmDtdSdaxScuv6PUWGdlLAhL63IfEKFzIwaTKPvKckXkH7SQZuOhRQGu/egNH2E+rHP/4xTj/9dDz88MO5y0RRfyqmTwW6YFfpGaYsdy5gHjRllLTsAX2nkHpNIhQw3nxQMCNTRKsCwzQLVaZtIWVCvKIVdnhb0SwxtQ1kD6TyPEzk/XB/M+FveTPI2e2VIZJIFPVrhRBxQmrOtdR7wyrfUGm1B40w+XLT4hWNMLUs5VW0OixakTPnetazny3aIaO6yEugP2U6p4uu+1YhmK3k1snjW2wk5J/jouvebYOUrVxS4VTW8yiMJwI6LUCaBQ0GqoYoCinj/Jr8dYx4RfV+kcfKc0K9TbiP+rzxoafwqudvmZjw0TlWJe9vUrtTBUrz1pFawKEsZDyMh8IIhFiDu2YogaHSzVXCfq4Snpd//agBo/Ii2EIQgBmENoVVxypuumyBYIpUNx4r05Eww3NnP2t1jlVsbFFY9ngcLhp4HpqWYUGDYDvn157As71uJn+VxCuU7ptWPayZdzkN1O0cLZtuqQJGQlhFk7O9f3nGSgId/WFtQyRDAdV7zXqOSxnnXZltuR4vwKrvlBEKSOcubzJVCImhuq+NMk9vK3/yy/ZYUdinDgW0Q1Y9M0EkpTIQyTNlTyqrUMD0/UDvFHv8RsfBFFWmUEBouXVAXccijgW0l6d2/TIJopOQtnp91lln4cgjj8QLXvACfPOb34SUEp///Ofx1a9+FfPmzcOee+6Jn/3sZ93u69SmC5YVeazy4nLVzEF2lfJUW91wocWEQiXCN6yZTWMY5ddJKcKEEubnk5VRR6O+0MO6VI6VtUzL46gfaOnlch+y0uR8uYNm9Zm9LWOoFXYJAPDjaxfjd3cst/qiZo2r5FgFPiUNZ/Ql/uyVeIUxMg3NSGD1hkbLde36VYCanVceq7wCwa3DC2l2N99bXM7QEOQpylnMFPikF16yb5Rb2CrUzJbfze5H61zMIsMqLLjuE8vFOVZZ1529qttMkzxWXvc9VtT34Vo1KXF9zAqueVMQufp90SDDygk31WUDpMToeIjDfnorHlo1mlh33BoIl4EM66JQOSpimxUKmrsPlpezob0exgDopTqgCltLh4YVTWLQRCT1tWZ5ZgI/KV5BbbshtHkFgj3H2LFDAbM8VmQkKG+1+s4OHaPlbVXAwBqoS2mF1kmpr1cAieXsIsI0qUQFgql9fe5kcY5Vp6qAJlxb6hzDrAgRt+wEkB36qSchnAF+lndQ21XxftjhdYlJn/igkmhFfh2rYvEKpQrohgK2qGMVe+9IzEcbVtZybgip5xmDTcIyrnPSSKL4vjlk7+di/13nOu0aYRM6LqEV2htFUofUuu8lSicYRNoyrH7wgx9gwYIFuPzyy/Hxj38cAHDAAQfg5JNPxn333Yd169bh6aef7mpHpzrdyLGiF4FnzVC4v6t6Az5+detSjI6nZ+h1f7o4Hm5GEtOHgmyPVYlBaxZ2KGHeQLZMboxa1sRFl3kJuB6rIvIepPa20oYVMlUKdb5WGW9GC/7rin/haxffnehnlRwrmoV146YJUjDulXhFVg2zUy77F/Y68aqW67pFWpXHqp5Tx0oWvtwIIeNZbGQPXsueGwqvyruu7Nlkum6Ts6fllDa13HredhAPVgp2XKt9hvmTBmU8ffnhvDLz/4AyyGrksermwwpmcD9SDyp5wyRk61DASCgPXZuqgENxjlXSY2Umhah4q9uHqqGAoSgWYwGgC5lX8ViR0dkIjQeCQtmA3qoDUk6uTVHNt3iiHTXLsDLqd5426nVeS7yeymFOtpNZIDg2Wm1BGoKOf7Kv6tPO1bFzcew6WqQKaDwY8UDaen5E1ja00WA968hwljCDZyA2rOIdpPyZmtMOQZOb7eZR24XrG6HAcI7ISZbHqqx4hXt+vPhfMirCyK27ZVzo/0Pa85PhUfNJMc8Yiu5+Uh0rwBjpWaF5RNOSnh8PhZJbz4gysifapX5PxWImIimfnjUBoCYXPZz27j1w9gdfZvaJxpmx0e150CIvJsdKgkJwfS/5/Blk8Yq2DKvFixfjwAMPBADU60r9pdFQM8Fz5szBRz/6UfzoRz/qUhcZoDuGTCRQOGtOD8ea7+Gq+57Ar29dmlqG7qtuDlYioR4AwrmpgHJepaKBap7HSotXlOgf5dHYLvMibKW01p6/eJ2s85Ez2LaTabMGl3nHy35plqFmueEp3rnsuEarAnrZ4WK2MEQvsF8UxCNPjcbfFe8/GQJ2OJySW88KaSt3jVLycV5MvJTInfBIbs+8bPLKCND26Lp1xSsoxKhwOyL72rP70UrkJqvwd9n2dRtCvYSzryHzf/dnEr3ohXgF7Vc7Hqtai1IWRfvbCqMKmDw29My2Datx51qmMMKy8xxhpDynlKCeBRn2VYwhOja2x4ryMuj7XkGTHzZ5obuAMRoC38N43C8d5uWp465yrJJtlg8FpHCs+DnkzuZnhAKq/ZB64spW/aO+UShgw/ZYIbkt+n89JZZgJlN0HyTdf8Zwsz1WthhCVoFgaqsddG24yHisslC5XMnvsgxp6l4qzNjqt+clDW56dtMSgZ+sa6jHIo73L9E/z3ishjIiQ0i0RXtEdV/y3z3NSJocq3iiKZVkBSRSIijfLz6tCbn14jpW5Jk0DescK+u4kPE4nJljlRyXDrJ4RVuG1Zw5cxCG6gE9e/ZsTJ8+HcuWLdO/z5o1CytX9rZK+lSjG2aMCUfK9gK5MzhFnqJuOhroAWAPsqn9oIQqYJbxYjxeeXWU4hdRif2gl0OZ3DPqj56RaTEQ0A+0LI9VgTfLVExPtwVkD7rpq5belXiBGcMmBbOqx4rc+HlyuibHqosXkgV10z4O0vktD1e8IhQCM4ZraEQidT5NmEjBvRLvf0Cx+TnXay3Hu+q2VZTvZxssqs3kYFlIKmhcjDYq8waVkgzt/JZsj1/qt4zBYnYbMg4FTP+WuN6dPWrGdVuoeGs3aSY8VuWvX8pZaWWMVslltGnEIg+uJ972WJFogmugUF2y0qG+8aCaZrazoIF5lXvcfi6YPJ3isNJuYYezEUXiSWpArQa7rseK/t+MhB68UzP1WvIasD1yNuQVMZMlIrFO4OSfmFBAK2Ijy2NV8xH46t1k/y4hEx4gO+Rc5w9Z128klUdSQuoQMmqfzhMJfLi5WnofrTDVdrBDAcfDKLM4MB0b99rOUmPM9lgljVglrW5NZCJ5fAPP9Vgla3nlG9FGMS/lsYqNO7fQsr62Mo5fMyG3HiU8TnYP7Alj5YWldBHKszMGYVYaCb1TsvaJDCfPM3VD6bryvFgVMDbm3LEaOQIGkbYMq5e85CVYuHCh/vuVr3wlfvzjH+Oxxx7DsmXLcPbZZ+OFL3xh1zrJtO8qt6EZgLxZDko0XR8n6WfGfcef3c6xGq4HiYcJDZSUeEXx+kVy3qr2UnodmTGbnwe9cPO8Ly520mgnoYA65MKdIbIG11niFe7/W7Xn8tR6JZU7c9ioK1UWr7A8VnneUf3/Ll5Lbpt2y+7+5yb9OrWEhARmxkbmWOgaVq2VK+maoQKLeR68MmFr5CGz9ydrW/RSdL1b9F1rufViEQUVBtRK4c70Jb1+uXPepNC4gomCrH6SaIx6uZfaVGlo0Fi1RpOQrdcJY89wO7dE0pNtvqfxt5BSF7l2+zAeRphWDyqIV1Cob8GUgjTGRVl0+GiUDAWk858VVtothEx7VNT3+ZMLnpcc/NmqgFQ01R0cutdzXsiTLtJKxoNloKpQQGd53xgptKSdk0MDZDK+bQ8didzQPgkh4zAw12OVfH7ahWRtj42t+kmTkgBShmvWBGEVbA99kccqS0SJxjtZPPzU+sQ2EgWCvWRuE6VQ0KXjvg9IGTHPuLT7J0T2hFUkKGfZnC+7raxHSihMjtV4qCaabE+XvW1a31UFpKgHwJQLSeVY5ZQL0GGe8dVBBYNpUoYmmdS2PR0qqI9bzn0xCLRlWH3gAx/AP//5T4yPqwHYCSecgPvvvx877LADdtppJyxatAjf/OY3u9rRqU43XickKJAXl0sPwfUFuVW6P10crERCYqSWTOqm7vk5g003ydFFhxJmJK2q38vlmlBfyM1dLhTQqN6UESPIW07/llLhMQ9YV0UnSy1Q74eWWy/u08o1Y6nvSLyitBxzHBOe5+Wz+9eLPKssT6B0jnXeZmnwJqxBzfQh9YJy86ykbK0uSfsfePGLLdPojaXRWxwLIWVmfp3pj9lmlhFG37U64nTN5V0rFApYJseqKH+wFeSxanUNuceCxCuUEE+3PVbq/qbaM2WhY1Z0vUdCtO2xioQx3hNy6zAeq7xcKu2xKrlZetbklQ+gZVwhpJYGffx7MzJy65GUCe9xr6AwKBtX4S25fNJoAJJGljKs0uFM7vnNG0B65EWyJkuS6yQ7S03YhqhR4/P0/ykPz17HeMck6nGJBrpeaX3aP/NessLpLSONwtqon7bx6e6mDgVsc3JNxN6+UEiMR0WhgOltZHlaaB8O+fFNWLOhaZbLCBHV17I0xhbtkxtKaF8nWd4dmkDOCwUmD2Uqx8rahksjlLGYhwoTpvx6ez3aZ53zGrdtjHoTwujr79PHMcsL53mxkS+NeAUZVnQ8QiFNSO0mFArYltz6Rz7yEXzkIx/Rf++3336499578ac//QlBEODNb34ze6y6TDcm9ROCAjmDO88DNsTyrlkKTJ7nAVK29eLPoxlJDNeD1GwFgNwivq70rIt+sRTsa9kaWfaDsax4BSXOt1K9aycU0ISfpcP/As9DBFPo8euX3IP9d52L179om8TguojHVyvDKlnEstpMOilQ5nkF7a8aoalT0y2sdx6u+OdK7LX9Ztaxjvsos0sG2GEsdKyGar6uA2NTJrROTxJ4BTlWIOWq1vtF577I2BCSckBsj5WnX4Kt7l/yWOXLrStZ4zKqgFnb0u222N9CuXX7/87vJF5RNDBuFy2MkRFelIeMBxj1FoIftL/t5Jzk1SmkCZUoHnwC6UHmeDPCjKFaJU+iOr75Hh0hlVfT9ljRICuPyBKv0NLzwiT19168Ij2ALjIcPSTFCFKqgJbHigakNd9RBRTZnjKSeqdF7XstFBmqgNZ2jGFl90f9fzjOPbTXoecSeWcikTT4tDfGurbI8yClhPSSqnimLpLjsXKPr+VNbQeT6ymKPVYZ96rtsTPLmf8/vX4cs6fVEs9cwg6BpevG3n/XCLaNy6xXHU3amtBnx7CKJ8WzcqyA7PFhKMxziu5XmmSxdztfFTD5jNXFx51tqfzhnH0iwwqmQDBN7tF9QOfB9z2E9phDpr2yg0Jlw2psbAw/+clPsNdee+G1r32t/v55z3sejjrqqK52jukulECf97IQQs2mrNmoZmrcugSJZbs4WgkjoTxWiZlN9Zmn3GcbfUVhdEU5VlSDoxXqxkcpQ4n6Q1LPrUMBaRtFg+TkbxL2SzTZz8D3gMisc8GtS7H0mQ14/Yu2yRXDcFmxZiO2nTOSOP+RiPPgSuZLkHiFl3MM7D40QoEZw6WaLY1tRH7yf+7A63fZOjFzT5/1dC1Jq5aQUcnyPJVT40qu6+uo4LCYUEAvJYVttxOUCDVVHqt0GKjdDv1GfbO/p4FOq9u3lVdPFQgOCq/vLDUz3U+RXKaojXqQnWdZlFNIM7++335ifB7jWiSifHFTWqzWSqI+khiqBW0Zg3adwkRuoTUQJtEKtw9jTfJYldtwI1QhmnmlOwAzWZAwrErsA+CIVwjjtellKKDtdSGK7hXXaAAcj5WfHQqojGvzt5rsSLfvQRnF2tNuTzyKtJfAzqWjPtMyKY+VE0pGUSyRNHXyaPLE3i/fCtciI0zGx8IUyDXvSddb49qPJhSwXcNKhVZqufWckXjWpGhWYVvb8NvYjBLjCLOM8SYC5v6idd2JNmNIGI+Wi60KmBUZQiUHskIz1TbSx4/CqH1fqVYm6lhZE4r2eJCMHDsUkM4NhRW6p6plKGt8bKhAsB3WqAprS31MEwapSHtlB4XKvR4ZGcFXvvIVLFq0qBf9YXoIJUB68HLDkewXyXiBYdXN15uQiD1WtngF3WzZM/yNhMcq3U97djBztruCx4qWLVtQOBQi9taUrweWZa/kDT7VoDbttbBrm2R108ywFfd/5Zox7Ljl9JTHKi/XJQslXpFvLCQ8Vl2ahW6EAjt99c94fPVG3U97gOmGSebtihkUmGPle16ciJ8Wr2iVs6RDAeMY97zQ1nI5Vpa3MtNgMQMaKSUCJ2ywjIcNaC23rkKGivurZeszlin6jbhn+Ro0ovzQOJkYnCZ/S4hXdHESCADGmhGm14NSEyemf2q5VvdQKASGcsKXW6EFJVyPFRlWUpq8JeeBM9aMMH2o2FC2aUYyztVB7suArlVbvKLl9a09U9JSlpN9Ea8QMj3wzwqbv2nxU/jJ9YuNMEOQHKQC0AVjQysUkAbebqhX/sCUnkFpwypbbj1+J0hLbt0qzEuDVFIFTP5u8rlIpIjCk+223VBAXccKyPTYSImEtyZPLKLdyQ/lsVLenkJVwIx7VY0x8j1WjVBYnj/LsAKVEVF/S5BEudmWq3BcpIxo94+K56bl1tX5NqGZ1N/89z3VrqLivckcK7NcUm7dKPxJqXZO1+2rk+JottHnYsQrlGfXLhBMOWeRCq1QxrczvgpF9oTDINC2eMWSJUu63BWm15BkZ9bLAqAZOPN3lseKfqb11401cdV9T3TWr/jh6HqsPOTng9l9yxanUJ95g1UKiSozftHucb/cQIrqe+RJvSeXzR/AGqMr/UKwZ5XM90nJ3awXCdA6z2HVunFsv/n0lMeqUh0rKbVxmbUKHdN64Gmlsk55Ni7+u2rduP7ODCrN7Kvt1cmiYXms9ADF8zK9DTRrXXRYbFXAvIkCCmlpdXgpvCqv/3a4oxBmdpQWlTIORWm1HctAy+tH63yh1td20Uz1gT/8G/5894r4usvqg/28SC6g5cArhOuVZWMzwshQkJv/mQV1oRYUe711jkUbfSZDxp5NB8z/hZDYkFPHaiyMQwFL7k8zNniL6lhBKg9dVoh3HsYzJRKS3TTp1u9QwKwcsi//7m5867J/6Zl420tiD5opBCuVV+S8R5QqYHoESYNber8l6yOmPWF2FAMZibZMOj0L6rFMPn2vPmMjTpiSAPZEnW0U2O+lrJB0e0JRyKQinruXWbnCVaDnplIFNGINLlnvbh3hYWGfh0Yo9Dp2KKDrXTHhc8b4tLdEv9cc75/bP3pnD2dMJNH7NH0+zO8uzUigHheDVtL6fvoEICm3rgxhMwEoATx382kA4vpnGfdDXoFr2xNGxrWU0koTUPmv9vGzTxEtN4i0ZVidfPLJOPvss3H11Vd3uz9MD4mkSUDMG6i4D5Y86N665K7H8LFf3N5Rv6REKq9A6r5me1giYdRrsjxWdENnVVwHoIvalQ8FbMNj1WIQBZgXSlGCf1ZsuH4QWbsurRedBFIFnqmVVoO2dWNNbDVrGI1ImJolUqJeoc4NJZ7aibGJvsTHdIsZQ3hmfaNcoy2gdpqRmWk0+SVGWtgo3mXvDEmqqxlc9Z3vqWs012NV0C979thDtmFL12Orc5PwVmYaVtC/SViqgFbBZCXaUrydVnLrQipvWNHtQNd+5rVtyTqPhxG+ddn9ievcfvYM1Yol+9X/k781hUC9Bx4rKSVuefhpTNMeq5Lrxce73rJAMMmtV++bfc+JDG/eijVj+OrF9+hlbUwoYLltUZhR3sSX2m46D6jVqSBBhKajClhUE61bkBFgo2bV09/Zy9teEnt9NxSQ7nv3PSJkngS3WifrPZAlRU1/klFke1Fsr5HtsaJPlTNkvFQ6lFgbA9DL6/B1YedwOh4ry7DyvHxFPFsivh2EgJ6IaMQFsrPI81gVjdsbkTDP/4THKp5Mi/+mCWl7/+3rnFQByWOYZSzYdayyQgHp3qYwcDqxOscqo/9hpIRIfM+oAuYaQPb5svZPSIld5s7Cgye/Vav8uhvLMlBpP4Uw4hWep573rsdKSOPhTVzjMlvGfRBoS7zihz/8IbbYYgssWLAA8+fPx/z58zFt2rTEMp7n4Q9/+ENXOskYpMye3SqDmgFApjsXMA+av3z+tTjtykWlcqxIOadsv7KWs2edkn3JTz4n1zj9P90/9Zm3vhv2WAQ9bIKMl2wW1LcyoUJF3hM9SM7xkmS+oK2XPhlWrjR7q8HTurEQW84YAqBeLiO+yq1qVbfIRh+DHGOBrrWtZg7j6dHxjBaqQ9frhkaU2tfQKtRpz4RnQdehnQROBTazDKu8PEBC51h55E1II5FfzDqxPYHMWWK7P6bv2aqARUUlzXbMDGYWUlJuWcF+Fxhndp7Gw0+ux0+ufxhH/vsLMGe6KjhPeZ5Afvicff7yPFZVBCbKcOfS1Tjzr4vxwrkzEwPIVlD36oGH71/zIKYPBfjk656fWo7EK9opQUD3nD1TrDauPp6y7rO0YRVhRoVQwPFQoF7Ln6QDVB+GHA9Cy+tOqlzORpxjNVI3YWkA0OhR3TvqW2rg76froJnnqRosJjxWTu5KmBEm5XpPcmfmPVNLCEh7rFKCCvFEJOVY+V5SllsbVpZ4BXWNnksmtC42cgNft03Hwx6EJ8MgjbEWWs8POwzOTZmh7XfisVITXlKHDWeRFbmS5aG0sUMBkx4rypU1z1rP87WRRiIN9nZoPADkS5PTMc8KfY7iZ/lQhRyrRqTu0cBXUSEUik77QNjXo7DOFwnuwDPXvJcx0Z1X4NoOMfQQjwUiGUdNxBPPzrVq70eU0+4g0JZhdffdd8PzPOywww6IoggPPfRQapl2B/9MMWp2q911i40VmjnYZd4s7LX9Znho1WhqGWktC5gZxGYkMVQr7th3rlyEc29cgn+esCDxfdYsjQQQ1+HLHGTQrIfn5RUINg/EvLBHLRXbAv1yKJkIn1AFbDEVZ1exz/vN7b+UeaGAlsdKQIf9NC0PTFZ7LuvGQmw1U6lJjIdCFUKV1QZ8QhYLpch4gL/lzGE8NdodjxVdB2PNKBH6BhjhFsDkDubXsTIvGRMKqF4ubrFTekkUHRW6BAIvW66W+lJmoK4GM36i3eS2kn1P5ZUh6WF7fPVGPPzkerx6560S7ZTJsSoMA2vRhh0KSE1sbEaYA2VY2QZsngcnq/iz2bZAPfBKh++WhYyTx57diHlzppUeEJoBmjp3p17xr2zDKi7y245nxogTJZ/v5C2zhVfcY7J2YxOzp9VL39/NuJ/0ms+aMJMSqLseqxZP3EjEIjGNUEnAx2qxdC21KrjeCVk5N65cvA29F2qWYWU8Ceq5QKIBNu6EWySzCwT72tiJl0sYVvlFWYWU+vnqWd9TP0bqgV7XNrDIS0VeXiGlPn8mJ8uLJbSTEzfUBhBHiSQMKzsPLdsYbF+8woSoN0KB4RzxisxQwJz6S0QjFPr+zgoZ1O8Y0L4boyc56WPErwATkm73xhavyAoFJuOFrjXXA5hV/kblmSojmjynrkw7oK6HMeud6PvGgLKVZWm9rFDArMNIEvemJqmHZvzSSqoCZquZ2pPng0ZbhhXnV00cJJucxVgzwk+ufxifef0LMh+6OrkZeYNK4xofCvxMj5VWlovvgKYwL+282SLiynufSIWnAeoGpocJvaDJo5FXJ8WWFm6lCpj1zKaBf5mBhEQsl1oyFFDXnCjjgYh/bzWrn7WOO7CNpBErkDCJ6q4h0WqfR8dDbB57rEIrHKdVGFOy77Eh0cJjtfn0us6N6hS7r64nkIRbACvMLedlTu3QQAOADl1wB3bKsCo2Vm1VQFrHhV4urcYXamKlyGMVb1O9FU0Ykq5LlayzcuKf7sMV967Ekm8fkOqP3fes/tZa9LeMxyoSUhsR9sDf3re83D77G/d3O3G7m06Op+NJgPWNqHDQ7UKL2d6OLGhg5RaiLoMWJ3ImM7ThauUy2v1eN9bE2rEQ228xvfT93YxLJGSFghHuwJu+K0IIiWlDPtZulAnDSj1/qhUbroqQGXWWCgxzSsq3sY+B73loRhGGaslhVpYcd9YA0oOXmNxxxStcjxVAs/62CIHpF3nWSDab+kifUhpDhbwVuoaRDgVMPl8TnhzLsLBzrDzY3ppUl0uFQOdBYwetClgQCpj1Hm0ZCkiTYqlQwGS0CYWy0bL2BEIUj2mKcqzI2KYJzCzxCt+3QiodwypTICgWmKH3SkIV0OrC9CE1kQFQbrvxyAmRrnmVfLYYD5SLbeQjHstRSC8Z+rSfOu3DmTwYVMNqMLUMpzBFz59HnlqP0696IBHykVw3WzXKbptmNGpBtreF1qN7i+R7x5utBQjy1N+klNrFbYdh6dCpjL7SICLvoaxnSXKMm7IDWcCOkS73AqCXXqkcqxKz+llJt9Sf5MyYUXES0uS4uKFvrXZhQyPE7JGa3hfqg/IqFq9r953CH3KvNXjYfPoQVnfJsKLjpAZf6Y2WHeTZHitbbj3Lk1AmpNQO9ckLwxMy34CwUZ6tpOyx2x9ajvKp7O+VgI05Oq58PGErI2buk0Si+Pb/3PJo6rkTiuR1Z6NzC6W0rrFsQZo8UY+iHKtISARxkn47YXV5jMXH6zvv3hNVhDGor/UW4QbNuEBwO32m68wVSKH/jycEf8wSj63eiJnDNWwxfaj0/U1FkmmAln3dytQMe6vrO5ISIzUrFDCWgI8Efd9FK9khKzSsSGxEIh2ZY/tlyMDICgW0L5u8UCpfD27T7wGaGHQxA3QKPTYD8GlxkfOROD+QvqdPO6+KFOpczwi9T22lU73v5LHyzXNMSLdAcP4AvB0odDGMC0oP59Wxyog2ERKFOTx2CKp9fjwv6bkhj5QOl3TeeWTA0b5n1WykyblQxLnMrmEVP/frzv1U0+Om9I2rvMrGqM1TBZxWD3R0Ep0vMurVsmZh911nT2C70PMxtqsShhQJcURavMLToYAUBp434TAItG1YRVGECy+8EJ/4xCfwzne+E/fco5Ji16xZg4svvhhPPNGZUhyTTVEoBQ2S1mV4hQA7uTlntluYQm+1DCPCjRuWUmJDPNNRZuY2z+tOs2TUR7Ut83LKHJjFMzj5OTxJJRoXieyE4bz+kSu/jGFFik3lcqzimPaCgWM6FNAkyyZj9ZM5Vs2UxwqZ7aX7L3WYD7WhxCvKefioDWP8ZRz/+JjOGA6wvkuqgCZcSJoiwNbxcU93bihgZBsn6jsjt+6+nJUxW3RUbAPHQ06OlTb0W18vnlcUzmsMIttjIPXvyeTqvBdXkcGv++t5uuFjfv9PXHT78tJt2GqY1OdEDom1c648tdlX9UkDUJtmpMQr8jza7TIeChy453Y45GXPVaEuJdummW96zuUZWFGUrQpWhkgg8/lO/x9rZnuslj+zEc/dfFruszILymehwWLe5IlbB6lV85FQOVaAmuCxPVbDdR9RDz1W9EyyCXw/NWjV91KG0ZRQBXRCAWk9N+8vXxUQsRdJ/d2qQDBglNjIm0ZL+L7yTADQ9d2oj4ltCfU8i2T8bEvl9BjPCmBCW+Fsy56covc0bcelzHMvD5qQIlXATuXWbcJIZoYC6uev1Qe7mcD3Eg95elZqYyjHCNHXeeCnvOx0rRm59WRb7ntJfRd7la2wT+2xsvxQtz/6LE678gFtBFHaA03O2d1Vj/zktWv3x90nmpz0PC8x3qJJcbuOle95uG/FWux5wpUII6HHEINIW4bV6tWrsd9+++HQQw/Fr3/9a/zxj3/Ek08+CQCYOXMmPve5z+F73/teVzvKKIqeP+vGlJGzYTx7oEoJkPZDwYZmuQD1QsnKJzHLSnzlf+/GhbctA4CWnhkAucX7hATq8QMx8UCOBwlZxiQZEfYsSPL3+MVS4DFxB5V5gwp6OZQdpIUUhlQiVEhI6FjjrN+ArJk2Y1QKKXHZPSvww/97MOWhIA9hI4z0d3a7RX0yM0pq4Sieoa4mXoHcY0bnd7gWaK9nu4zH+2eHl5mcIoP7kG7tsUoWCK5leqziMJmCw6IGTnEfcjwoUsb5gDmH4k8LH8e9j68x94WfrXZneznzcqxM+Fb+i8sUCM4zrNL5izTJQhSFXBrVQWTOyNv/zxWvEGYm2P1Zi1fkHKd2aViz4lUGhHogGtCAKPtZ2BTV7jMbmtVO5VjF/9/YiLDjltPxqudvmXimPrZ6I56z2bTURE0RjVDNhtPVUxQVABiDspXhpgwrtezouDKshFTXy3AtyH3WdwM1QE7eD/WCyTR3QA1YHqt48G17rHTYk5+cOFDP23T7yvMoree2dX9E2bP5FHqd5bEiw8o+L9SE9o7FE33kKas5SnY0uZjlsaKdp/cZnWualLSPj00VdU0XIUxOUjviFUWTq3kGJECGKLUnYw8P3ePJ5xVdV3QMapkeq6QqYLbHKh1OSOd3v2//XyrNohmZXG/ahyxDks6lKohsjBwp0yG+acXRjOtA71MspAJTOke345vJe5oo9j3gmfXKW/XMhgYimW2EDgJtGVZf/epXce+99+Ivf/kLHn744cTDMggCvOtd78Jll13WtU4yhqIX+boxdVG6Axy9rjAx+HkJ9PZMSMpjlegH8FtrhrqVSAOQPzue8FhZFds9Lz90KinZmZULlj17a35Pv5gKY+m98tLNFBusZv5aDyTquZLw2QNTmo2kh99nf32XmnGyjUVpZrHIwHLz4/LQVd4t4zqS1epY0bXk+9nbo7y1oZpfqUBwMxJ4149vwpNxraq7l6/GLsdcASmtIqJCWLOJsWGE9KRE3r6YHCvbK6Lq1dgTCHnyyS72QMYOschaJu96+eyv78JnfnWXFVaS53U27UkgZVglvFgSyLMIS8mtx8W3KdTUNdKKcqxsYZaskgP280mFxqWfWXSPexnHgoyMbqsCNiKTS1rFG0b9o8mlWp7HSrQvt65CAdMS6PS/sTDCZtPqsRiNWe+Z9Q1sOXOokqGoZ8MLBqZkfANpdco8bI/V6HgYS8Cb+j7u8b7g1kfxvP/szlgjK+emaHJMolWOlXqWUJv0XHGvm/wcK3U/a4+V9eyxc0bd/lIIm+cZw8nzPEwfUuHd0lrXDLRNPpcRFTAeR22AWe3T9sz+0rk2yoT0PRkmWQP7TgRmhFTXhc6xCqrVsSoat0fSRD6k1Qwt8QqZ9JoPBckIBhVdkxavcPtH13mReEVdT8yk21jy1PrE32FcEkFL6+eEAr59z+0AAOsboTHIQe+QpFfPfbYYj1WqO7CFmih6iLAnxc0kuqcnSccaApEQAyu33pZh9fvf/x6f/exn8aY3vSnzRnnhC1/IAhc9oozHKsstDJjwuVxBCGt2IivHKrlO8mVQJhSQHgZpQwFWjpUJW/NyBk3URhA/rLK8ZRQvnxdKmBWjnrcLdihgmUGazrHyPW0o5iFkfkFQinFPhQIiKa2rbSlpQjeEVAnmgBn4usZGHjQota+BqgM+qkGhxAOyDQDP8zBc80vl5xHPrm/g9kefxYNPrANgVNpGx0NtYFN4AZC8X9yBea5hleGxUupfRtVI/a4+a0GxKiAJeQB0f2Xfe1Rz7ezrFuPu5atTy9TjulFaaj/TE2j2O1HXTA8CzKBKouCaF+njl9dfEkVwB9k6Tyvn2qbf6JC6SmnEtHignWUY06x86jdBhn37s+FZjDeFNo6qeMNoKRMKmOOxig0WCrP+n1seLd03um/t2XO1cfX/sSaF7yXvhbVjTcwaqec+K4v6aUIBaRsRblvyjP6OaveY67D185AMq/XjIUasUEASKbD5v/tXletwzL6nXIObFj+Vs+30NUz5RllImc7RoaGrB3V9NC3P0ubTlSCQ+x7JCwX0yWNlPY/sdbKMc/Io0PvNCEqYeltbzxpOqQJSZAjd18bjnQw9I++SrXRq9j3+zlJ7o+9zHLTmeMTLjo6HuoRLGWhSNhKihHiFO+4oDjWz98E1fO2JLaEGK4n3gZASv719GRY/OaqfUyYUMMNjZYUCZl3n9D6ldbMMDlcEqkFF0hOhgGnP4ffetxfqgYcN45EleuLp94O9rPuMoGOQqVBJz8d4edcItz2bNFG8IX6XjIdR4r05aLRlWK1Zswbz58/P/b3ZbCIMs70mTGeU8Vg1c7xHJlQEmSFHwnrQZBksMnFDAVvNHNJ/lwkFpJvPVRvMyrEiY0YVLszuqxavyDQSzYxdbkHWVGhY9j6oh0scClhiIEWqgKVCAYUpyJi1D1mCEcZr4SWOnT0woByrmm/ygsqHApoXgV3ktYzKIWGrAubtm+8Bw3Gielko3IHyCWl/R8dDvZ9Nq7CjmxeY6EPOZm3j3nis1AuxaQsAWEZX0YDRNuKzPGe0TM1XnplTLv8X/vsvi1LL0HXieekXHEFt02yrm9ti90VKmTtoDEWx/Dt5fKUENjTVOXHfgWVVAe3wRfd3ABixQpgSfYi3meW9o9CZPMO+XRqRwHAcqlbFG5YOBWztsbrpoadxzO//2VIJb8Wajbj+gSf1rLZ65tnbVp8bm1H8rEj2e91YiFkjtUoeuGZcyNjzk9u45K7H8O6zbgag+uDmWJXxWA3VlNdtdMzNsUrX2aJzUZYVa8Zw5b3Z+d9SpmWjVY5V/j2QCgW0PVa+h0ZkZt2/tGAX/M8Rr0i9R4TMHkCqepP2ZEny/sjLa1Fy6MabS98DwCWffhX+/YXbpAoE0/NECFIFpP97ifW1eAUZHJZxZ4s32MqBnuWxyoImCAHgK/97NxZ89/rcZV2EiHOsohaqgBkeKztEOwuaoKN3rY0deaCOtTlPNAH25d/djeP/eC+kNO9CINtbTUJUeZEh9D51xSts1o+7odhJ8QrbY2XvuJrgDHRBZC2BL41sP+GOp7IMbHtZEdtVpDRo7y+Nj+xt0jkaD0V+fbcBoC3D6vnPfz7uvPPO3N+vvPJK7Lbbbm13ismn6MW0dmPsscqR6tWzuLkeK+P9qGW8UJJxwxIzh2vYeZuZGKmnE3yzoJuP3L12WxR3nC4sWOCxCopUAU2Med7MvjtpnJtPAhMnXkkVsMTykQTqtZw8JBHPHqY8LUicR9uYshOlG5GRKwaQaWxkQSqINUv2NcwJUchtwxrYZl0adH6Han6lHKv1cf7gej2zFddRC2VisK6l5RN9SvcxizDOJ7NDXjzPw1AtaSjbs5lFR8X2KsLLXlbKZPjt2rGccF5pe2Iy7gtpRDDsMI5EKGDCY5UetAFmUJUfCmhyrOj8uQYATfAU1rGyBmmJY2s1NT32YKTvg7SCld1/bdhbP4aRwMd+cXtCyKEKdq2cKt4w6nrRwEj1L13Tb+3G4hn8L//ubnzo539X+Ty+F5eRsLYdX3FjjSj2MiXvi7Ubm5g9Uq8UCjiek2NFk3u03ZrrsWpVx0pKPYA0OVYSoVDH3S134KWC8Qrajo9p3rFX15PjsSp4htOEWybxYDyMhL7ftpw5jFfvvFX8XkhuNzsUUJ0o2rx9/dNElwupy+mJSW1Yqc+X7rB5QkyC7B3PMzlWNZ/qWKVDOcn4pvd9Um497kNg6mDRtvUzJ+P6sg3N/7t/FVauHUsfzxwo4kOJV0T5qoAZkwZ5x/3bB++OXebOUsZhTq0re9KJrgNzfZk+rB8P9XOqlXhFKJRhkxsK6HspQ9dm1Mmt1yURrO3Sau7ayrsaK/TBzk13xSuS76+8Ol+AmXiiCQhXvEJ5RoV+p9ltjMc1xKZUKOBHP/pR/PznP8dvfvMbK4bSw/j4OL7+9a/jiiuuwCc+8YmudnQqI5NvyVzopZY3w0aDLs/LboYGu0C+3DohhAot+dbBu2OzaUOlQgHpxkl7rKDD+rQRgOKZ+UgYpZ28AsHaY5Wzr4Ezi2Y304wE/rVyrW6rSOEu3TeBIPD0C6oImiHMFniIB/jOb/a+CWlenon8GyHRjJKzvNRMq32gF46dv2bPZJaBZlTzPIo06B+u+SlDuwjtsWrQp1q3EYmEEZi1rymPVZ5hJYxSozvZYHvXaPWWcuvWCzxvosBVBcwzRoQ0ib55kyPkSVJGVDIuXl33xthyr43kMcg/33o7MG2PO/d1XtvqN7OMrRCof7c2PJITCqjz+DzAvcvJ40ZFKomn1zdw1X1PYPmzG7J3rAW28piamS9nWWmPVXzs6xkDQClVAv5IPVDexJzj6kKDSXomutcG/XcsjHT4nn1OjMcq+7rLohmpfBYjhJLcFoV46mT7ILlcHiI2GIYCH+sbEaYNBXqAO1zP9x6VYTSerMjzcqlBdPI7NaueUybEGXQCjjqch0QooPneqT+Y4zmh+zYr0oDC+l1oMKveCyYUMCUL75n9AyyPlXTk1gPfWV5tmyIZ7JBWvYxnamJR20GGl0b32TJS8nIP87BD6akEQO42UhNr2QbK+/5tB+wyb5Y2Dn3fS50fWzyIrgM6pfY+kLfVNhzyxCuaoWpgKCPnWocCWmHILmmPFU3wmm2Y6yG5bj0wXkb9TJXpyQP32ULP+Ozrlyb4TGisbsdP5lh5XvIaHQ8j/SwYRNoqEHzUUUfh3nvvxfvf/35sttlmAIBDDz0UTz/9NMIwxCc+8QkcccQR3eznlMZNdM1irBnhgSdULYK80BETKpIdumTP2NlhYO626eba2IwwrR7k5jnl4Q4UaIBkG0n6xZAxaALMi8X3svOYkl6ddB+yPFb2cb7glkdx/J/uw5JvH6BnnAKv3H4mPVbFgyIhJep+du4SxdFn5aTpug+Wu1x/H7/YmpHASN3H6Hgz/j1/oJvYLs2wWfLiFKJQ1mNFohyehxyj0a4Nld/mopXr8B8/uAEPnvw2AOblQZ4rCglshEIfa5p5o2MCqCvIvuTJKM0ijNWlKBQiMdkQpe/Fmh40ZudK2GE7HrIHlzSgyQqL0/2KZ/9sRcisdkjJjPpjG360Ph0baiMUAoEfWO0Uq9MJmUyUB5DyApE6ZqZnjbyL0pyHLG8gAEwb8lPfUR9MonW6fVJAtdejGimtjJU8lCqgOk55yoyJPgqJVevGU16HrAED9Wn6kBKXoOPZqq+mdh2JV7hFPNXnWFNgs2k+JGTi+b+hGWH6UC1VX6mIZiRQr3mWYSX19wAJyJiBEQ3OWk3qREId13rgYXRcSaxLqa7P4Vo6FLCCwwpj8QROnpfJ9v4TNT/9frGfo+7tbudY6VBAZyG3phKFtbvoPBf9TjTr0ORP1jrq2o8n2eJ3XJbBmOhv7LGS0i4QLFOhnHTPU5i5682wt2WEDbyEl9ylSgiqi5CIC+qKFqqAOSJQOdcPPbfslIREe85klT15ZRub9N6xDat6jqeRJu2Gan567GVNmqjlszxWWYaVEa+w31/ZHit6v5g8TfcYuSrLtoBTep+UZ1bGllWeN5gMU/s+GQ9FZg24QaEtw8rzPJxzzjn48Ic/jIsuuggPPfQQhBB4/vOfj/e85z147Wtf2+1+Tmnsl3fe4+eMqx/A/8/em4fbUlTnw29V957OOfdeJi+ojJEZRREcUJwAFac4RqMxzv7UGI0aFTVGDcYpRv00DhjjFBNNjBqNRERFBAcQUVEERZlE5uGO55w9dHfV90fVqlpVXd17n3MvyI13PQ/P5ezdu7q6uoY1vOtd515xK4B6RIi3Iwge16Dc0TROwdicR8bmghSVQp6ZQ3AWKCBtPHFODSmexpjzDHbSLsZU0wQZSUHl6F4U8WoyIuNFGysb7lpWIHimiFVF3vIZCgRrHSjUYR+BfqKmTZhj5TckgpzRJl9YKCCNHzWTVNorhdwdqES3LoMcqyb2wpQYT59kRl9odNAztEFtAOBHV21AwfDz9F7IoKKIVcEjVpUHHPGmed97edYIiSyUdkVaFTtY4r7S/3qYS9pzxyNWMZQivMbncCXnA/dENygj2nqZm6JbRonjbZp/y0qjx04DgqQ1wmO1j4zRco4NZJ8vlF5/1E4qF4tHTihiVfc4+3eTXCNkWLEfUlR/uMraaePSswLmcjoU8Gu/uB5/+dmf4ruvfRikgPNKp3JOCFI5Z5nwvGHV3lcaA0dOhDjHyvwxnFSmFpsKx4vW1qw5pABFrHiBYPNvUEtO173z05qnfZ3GeNDJnFe7l0jq9+221yQC/LnYlIPMnSgkbXmyZcJo4n86KGD0quNzpCmXhNYt3Z6PHWdPjNuutI88ePKKetSM95fOEkOYJF0bMXkFGUGF3R+4wUFtCXYeAYCQaUMgHI/Gr1tFWeOvqrQjVElJam435alRn3yOVWhAUnue4EcHOhVvk5xXHH6ZiphKIdze383qbMKVNXhi+nsu3AFD+2qWiQAK6CNMsZFDRBI+H0rD57H6fka5fmRYNcxfh2iDqF1DY6w10dH775SN9O2oOVarMqxIjjvuOBx33HHbqy87pUFSh2Qs12wYuv9vOggomb0NjkTnPRXdC35vfyMJx608gcSskRwgDQUkwyWIWNltO13HiiWnpyIiyifvpp+1vhnwdrgHRtlxmTWnYiU5VrNAAevYcB+u50UtSYEn5b2oNAbdzBm9bUrygX9zOr7w4mNx1L67uufPZcQKuAK6dYIlZeyQ5RAJB69sYd0CPMxp03CC9Wv6QVSK2gWMsc6JT1yOVcJzD1B0qKHvZFQoHwUE6s4Gvx6avbHmOn/YiqhPrm8wB9+YeUHTbWmXs9AY5ZRUg0Q7OBC1pzSCiFUqv4na6eTNhjTlYpjfEhtjuDhKpRrz8niNKxel43TS7Dfzlia6Zjyx/Ie4mxXbm3i36P+XV21YMSjgDI6WG7eMXd+lEG7epiBPFFGhvEgHc50SseI5lrlsjtKPLHlFpVXwvVFIm5kmUzIpfRFxujfvS2m930EOjgBe+K8XYN/d5vCRZx6dbFdZ45AU5EEnc2OWolun1uP9JSWuYHpDTic31ElSucb0jEWVoFunf+3ex9c+Sa1AcINRSOs2BQ8mIqpYMrb2U+QV7hmis88b595hQM40/nsy3MipygeA/peapnETqJPoxH2mZ1ypGs1zrFyfEpIi4km9G369yf+BLVFTHz8OdRaCv3t/HTEt0p4NwFHCx8Wkx3Z+dvI6/N9E/2Ur3TrfJ6hvHenZCDMp0ZQNbKJZyjukCY2gdGQ8p2GsjTT6Wjv9LY5qBayAURulIlbKZHfv8LJNhtWGDRvwrW99y1GrH3DAATj++OOx++67b4++7RQrs0AB1w46AIC77jJohgJqouNthiPRIkphy7mHXmntcL+zQsScEpyEAhrvpidaCKMyqbbakvh5eDkdnat7q/h13OgiT2Ym0gxnqb5lUs6WY6XRGAlyUMCEN16gHrGifpLhXNh8DaXhqqoD9TwK8nRdccsSjtx7FwCWycmyLWnrvVwNeQUd4JXWwWZDfc0T84wLRUFGE0+lbj63f9v+FKXy0TXta6g0rZ02+AkZBARzo6kQez11xIiktEaWUA1MJMH8f5NTnZRQF8lpOAC5E6IpykkGoPNa1yJWvr80BrFR5NipGl4Nn3c8qhk/d8r7Cvg5GBhWCU8oAOw63w1+Q8JzXFIwQYoapxSOaUx7TcK9qLNAmEjPGxUmukHRp9Q8IJhrx9btonU5DQoYRKxEHepN/zsqKnRyaRi32PeFhVCRw2wWmUR06/QzeqzCJuI7mKwtTH3xdVtw8XVbGts1uXG+3tegm7n31+vUC3T7Z9DI0yWMgmuA5vFMGkEMRUFCl5TKG0QvfNABuPKWpeD3MaU5/3yWAsHkONOp9VF5KvS4b7T2hfBGTjzfYiXXox6MceKJLChi5a9TSjuCH94ML0Zs2vLGdlvgQYo0imIWcayASqMom3OsUhEr3aK4+8ifDowm970QID+QhtGbDrjTvLuXv4fXNdb0jY7mczTD/tHcTu2ZpLuRw6HPol5//4S7438uvC6IbNO5SHBo6rOLKkbPQ2kYPtJp+q6RilixfrVQopN+osnwjOdgdE8+bjw3bUeUVRtWb3nLW/Cud70L4/E4+Lzb7eK1r30tTjnllG3u3E4xEhx2DfvP8qTEax55CC66ZnN7HavEwcsbpw0whS3n9QiMsg6XszVLUnGsFJOYQyCMWJkF3RxdI8W9qTgrRRqaf18/8PiYeKWRvDgi6fVKPqeLWE03RKopEatUFXZouIRaDjOjftL7LUrl4CKcpSluzuXGMO8okVeUyivfK82x4tj6WEHnRnpbm1Tsmg4N6l9MIW/IKzhNujUYAsPKt9s0L+g3JjoXKlvx++djRfdNCUV2gbrHj/eNR9FSeSAaHCJrvP9/cvTe+JvHeAZWypEouPeRORc0m/fUHlBXbEpFuX9NBp6PENC4F4k2ugnvK78fN+54H7QG9t99Du956j1d1LK2DLRX5lIRK9rrwnbD+bNSqdi7zOT0dqh/S5MSQhgDy7RTv/YV/3khAHpfvuD1NNZMD72CIycKcqzsxj0sKnSJFZB1uyiV/XwFdOuWFTDOsXJGR+UZ5kikAKbFCcnw5xErZ1jlWS2Pj559UikM0G5Z+Sh3s+MxNgA6iYg6rc1KKfe8b3j0YQYpEJwh5t8keQVnBWRzKnw2BLXm+DtrLBAsvEFg3k1o7Li+NUas/HmkWBSQ51hVyhvWvBX6f3d2MsPKrdOEAtNEcDSL0BlZVqoVCsgjeW696Gb4KD/7UuQV/CygPfne++6K37ztUY4kxfTPRmGFMahOe9lxOOIuawGE74T6ByC5Z7p0Cfs+esyL8Mz774frNw+xidX/orHPMw/HzzJmWEXPYyKzqpbvRA5QkthRnXJQu2cSxApYJ68w92TFrBE6F+j8aqPpvyPLqnr91re+FaeccgpOPPFEnH766bj88stx+eWX42tf+xpOPPFEvO1tb8Nb3/rW7d3XP1gJNuGG/cfkRAh08mavnmcFbM6xohWXZ7KmKHFFklirHPPbCiJWKYihFARB8Cx0zsuRaJqSnJsiVjwPKR2dqx9MfHN3DIaMgnRWxaNSyjGSTYNI+pyYRB+VtlG8et+F8AeShwKZw5y8TSbHyjOGuShONCCk7IEpZCaCaKJJ9L5WxgoYestSHjiqRt9mlA8jWnUaC1K2aHwnpe8neWzjeRkbzk3PQvlF5C2O8wtce9SWM1QaHBp6tjpWvL+ps8rnfJk1t2m5wMe+e2WtHW6gSRFi3UPyCq+819a6MlDAJoXHGGi2RIJ9B7WolyLGrvSY0DU8msZ/m0mBo/fbrT2PStS9qPz3MSughz6uLmLFHRlNNdq40F48KU3E6n5/tBuANBx03aBjjRXTT5oL03KseNTOE3bwPpt/fYHg0ACY2PnOlbtp4qJc7t6wz+W/1/A5IUa5mu59JkW2k5trB11f564tx2qWCCS107QnpwrGtudYMVKa6F/6LZCOgsXU6UkooAhrRsXro6keEu0T5IAxfahfZ56ZvvfGEKdbJ+gZh0MrrW1ObgiRc/eyWiU5ZqcFHeI8yJWI0tpBRCcW0poSet4AwdAWbbGOZa1boIBuT/XPyKO45jsbkbH3v/td1/nInqzPFSA9z2ltk0E16IZOhG6WBZFYGntOsZ5LxgoYrUUitiBnFTe0w6hkNA+1R2PEwvdHgsZycTlWSEesTPmIdNt3dFlVxOrUU0/F4x73OHzlK18JPj/ggANw0kkn4XGPexw+8pGP4G//9m+3Syf/0CWEDTRs8koZDK4UOO+KW/GT327EPz/rmOAaziyTTnz3XqcUqQD9lUnpaJYp92habSTqI1C/N0UFeK6WC0k3ePiNx6454qHcBpHetLnnnv+GhL4qSr/wZyWvoMMpnyVipbVjCaL8At6fbkMdKypYzFl7fKKtUawmlcaAIlYqnXcE+IgVhd8B2CrvPoEXaIYspsRDAf3f8ffkgWs7VJejBH4aC+d9Zgp6xSBpdCA2Mc01zStqu5tL5y3mB1NqLXLyipTwKIdIGAH026ZC0e4ahFHi9L1Ctj6aJzQMSrP+ghuocX6URr/TTreeR8pKHL3xkb/E+iQjWHvHUc0jHymmKbhfXKeL9y+T9XwW+t+VsJhyqdganRZtBfyYGMMKeOyRd8FCL8fbv/bL2rW7zHXx1484xNFVpyJ5KQnJa2ziORsP8qgbuvW6Y408/WTQzSKFohyrcPz5+qQoLMk0BZueIZdeCevn7TlW/Bmm9pnmekMbfD6RpPbwQOlsuBdFioH6OSOi85ecQLU2EEbfU46H+n09E5tg+0QTeQUJh/XmVCBYe7ghz7Ui8opuFLGK70XnfQyNi4U7rFa6KpWGy7EqK50sY8D7wCHppL+kJJeGJY8cWbFk7B0SzJVERG02RXX4O+Dfp+Ycre39d5/Dqc88GrtbeDRJryMDyDMRtHBnScaMrHjiOiggd2jDRvXYdbFTpinaaq71egdv093T1rFyda7YfKZo4Y5KXrEqe3Dz5s046aSTGr9/9KMfja1bt666UzsllBDWkRbyYOWZwHcuvRnfuKReXZ4850Kk2+FQiBS23EesmPIqxcwHclN+A5FmcGOO17FK9tV5pNuLHRvIV8OzxoZVIhrhGZamR1f4c7rixVPGpVIeN51iAkpBAb03UkQJ/AlWQOvZaqrtBPik+Unpk9pN/pOsQwFnVLwcFJAZjYFoggeE3rmvXXS9o8QGfMSKomoqmkMU4axY9MVFmmQI+4kN5yYjhpK2fY6VV5DS5BX2kVqMEE5v3LT2+CHYBFFxzoyG80ZpD+FznlTho2m8L1p5L378eppIVc6/cgPziHsvN1CHWFHEqskxAsBFvqlv/P6xohY349YB6u8yzsH8zx9djctvXqzNn5VKxQzTWRwtvBwAf57UNrI4KjDfy32kYkbDiqaCUUTq0VgNOGWZDCjeb8MKWIdNtgkVHwVCLzaNL5UG4FCeWfIllDZ7J82p+V7uxqpnGQK50JxbCXlSU7QyBQXMM69wptprK2DaZFjFeyJfk/HvlfbznneBO2vCtn0UWIiQTCNoO9L86Pa091Eb5PSjd00R4EJRxKr5udui72Gf2+v3tQlBAY2xp1rrWJn2w982k1dItwZTr5g7k+PpxC8nAzVu46GH3AnPfsB+tf5JYSB7qf2M0EYn3X2v2vvsZmE9SH5mU1OcHj9+JDrbNMLokTG0uHNE1BxgTWuA624C9TnocqyU+Y7DGwmK2mS03dFlVYbVAx/4QPzwhz9s/P6HP/whHvjAB666UzsllMDj2uixo8rcza/UswKmI0wafvJ3sroR4Reop+Em5rdZDmQO1Qr6pT28iSBJWvPE+3pbXHGvFPCG/74I12/2zIj0e8pXqI2Fri/awIDV/j6a9W9lEavp42KggOFB5PqjLBQwuqff/CJllLyU0tcaoc2KNk26jgsZLZNSuflFVPYlY9sz2O+pj2/up72SR/egfCnqA5FX8Of+i3//CT79g6vc3x4K6KNqgI8E8DnlFFGr+LdFrJqUW4Do1i3pBzsUY9gpXw9AMxTQJNbbg7OBIMBErBgUEOZ9fOXCa4Nr+LxOiSs0rDhVsM/poHGn/o5dzk/Yp1KpWhL15mGBp370XPz6xkXXX7rW/Bu1YRWd1ogVU1qDAzswrPxn8bO6nNG4fc1YQ7XGyV+8CH/31Usa4cizilI+4V2K6WyovBYVvbIm6JOJ8Pl17aI/0/pq2x1b463mNGDvKlUgmIr9rhQKyKMYbr/U/r2S4811c8aIFa8XuMBqAHRtLg2XSTn7+5wGBeRrg4QYKXn5jZhOPCXGaWT+vylaxMcqNTYUeUwV0C4t3DwWKQT++ZzLUVgqeD/n6tfRPfgzUe0jglMTXb4zrOzcJcM6TbcO11b8/KkR42y7K821IgdQqUxJjrYcq7j9NnIETubQNM7U5zhiFT5vOur1qefeFyfd/c6+f8wI5/rUr2/citN+fl1jP0i6eRix8mPvzyVjAIXvnfeZ5ztxpxm/NnZUc8duLDR/m96oYwWEz0Hj/W8z2u7osirD6tRTT8W5556LV77yla6GlVIKl112GV7xilfgvPPOw6mnnrq9+/oHKz6K0A436kjZaliF5BX17zl1dxxJoO8BoxxSqJnynGbZD5sgQ17JloEXT7iIU71xggoRe+Fnf3g1zvrVzUFfhe1ruo5VOxTQF4H0ePW2vJygb5axScrpihclC5t7xn00ilaNDU3XSQnoevLga23apsT/UnkmsFrEirzqlXIHD0UQCxVGrGaGAqowYvXif/sxHvDObwd9pfA/zTMyvPhbGZch5TTd30VaSFGufMRKaWt8thi2UqTnhWnLGARU08vlF0RG+qxQQKLKNc8mktoFGQIekw6cd8Wt+Kv/uNDXdkOYY5USpQmy6WGM4RryhoHWPGJVX5OdLHTAbFyaADDvRGvjWQX8eo6jQD4RPjEmyhcPplcUOwlclE/UCRnoGjIk4nfJI1b0VcHY8GIFfVapRTCnrAea05OqYrkV6T2tZPuGUtz4nEJeYVfMpFLJHFoO2yQmN+9tN+uGiv2upI4V7Vv8XKqcAR8yaprrZoxYSc8USuxnQqSdfU1U/8k+l2knAgkvN0Iy1zOOqWVWfJWeolT1OlZcPCtg+vOKnXUpzzydN+kcq7SivXF5gp9cvQlX3Lzkzixqi0t8P28MhayAA1cryyvnBAXkdPuAn4dxxIp3MzW9ONvuSlMflfYKOUFdU5LKsYoNfy4+x6oZxuffS2io8P9X2sO324TmHZFGUT9P/uLP8Zef/WmrEQgYmCzPsSptAWceYepI/77iHCuaa3xPdc8TXRefgU1jSPfWOu1U4ayAAgiijVWloFSaVn5HkFXlWB155JFQSuEDH/gAPvCBD0BS5Xe7Knq9Ho488sjgN0IIbN68eRu7+4cpvAhbk/1PHqymjYXaSbFGkWjtF1xbjlUcsZJiOlzF9FHX8OWAP1gCVkC72BoVUeUTtTdbNhwZbWhtxZB1YkOIce/0WVATa8bndBGrBkXloe8+C3//hHtYuF/dm0ZJrym8NYXO4+T52HAmmAT9xudYhX0ZFRwK6L2MeSZR8YjVCqGAnLziwt9tCp9B14lPqLYQ34TpsChY/hRQz5eotHbKFRXSjaGbQcSqxegyEDaBYaFthCj9G3eg2u+bRqZU3rsvmAcxHo+cGa5CeBjZ1oBlysNAm/ru2nGHJKtjpTjZRt1gDfsczj0ywpYnVaCsuyhQIseqYwstp/pJhjpXUILnZOsz5dSgv1NrvGTzj0OQvWE+2zxO9ZsbVtP2g+GEk1f4Z0n9jEd5lfaOglnzwSZl5eA+MXzcRx5CZYscZOZdqOS5kBJSrIEwX9FDuuoRoFlUJBpfnusJmPMozxJ7IT3HDGPkHAAN7ywVWehkEt1cYilR96wp0gSE+U21pP3IEdMISbPv0V/H752OWC2NCTpdhVGUBuPO/U3GkCXBKm3EcZe5Dua7Gdav7bu+V1pjcVxgTT9UH+PomIcC8nVcf0wi3ABWEbHSnmKdz8naPWwfYlbXpvfHWQFT10i29klXcd9Fc74tl8v1z0EBRUCMweHAK41YuVIH9pHzrJk+hvQyci6E7yx8nqBAcIvBR8+uLSF9LLkUGJemLIOUohaxmua4uCPLqgyrJz/5yY0H+07Z/kJGRJORAFDSqQgq3dfIEJR2DDdJYwN+E3GYW3bYeKXbewipovisOVaG8SbOsTJtUjIj3ctDAROKmfasX5uGZFixZ9U+FyUNBQw9idyLy5+VsOZSNitE9eckVkD/PLFcdesyzrr0JgOpohyryJsGmJo2dSggzx/z76yoaMyIucnMCSmMouyV67A9l7+ktfMY+gLBXvHt5HXK2iYhT1bTWaABFrEyNyXYH1eSJpGX2bHYRRGrSnlFlOatId9gOVbsVbS9y0mp0M8zbFRFoGzRePj2wiKcTUppUYW5JqnLtPYJ0yRkjFEOHPcoNgWmHRRQszwL4R0y3CDSWtfGl6SyieD8sOZMjNxT2cQsWKkW8gpta7QpHUSp+W/DOi+piJW2EelEtFfVWQE1vHK6LRGrgHp6yn4wasixShn1NJ/IUTVzjpUdp0mpbA5tCI2kuQWY/YSPJc03ouifdX1zKCApUACraaZ90jr1YRaVgSIx9M5yNtbx+jPt0r4wQ8RqKt16Oqq20MtdjTHAO1BKlc6/ISFlvmbEkEOCnTEpyBNBXFNIg0qnvflE9b08qZzzDWh2xPh7Ubs6QKv0comLT/H59GRQbBmWWNvvRBEr328gPT4pw4evh1lz/Ei0Brq5v0mTYeWYCoMxbMuxoj00HdUK2UabIWtGr5gerXXkRnRvT9Tr+toW9erlESug8meOYmvJs1fGzyOcEU9lavgz+P8Pz82mQtWAn79Na5/OftpvCF0z181aYZg7gqzKsPrUpz61nbuxU9rEQ9Fa4Et2IXXYRCyUQk+yhEBmbCS95ooxoGV+c+xEng+eC9WWsxVLpTT6nazmgTVeoXodq9YcKeWjXAQXG7HkzSC/JNG12EsYR5dCJZ1Y+JqVZy48YtWG/SdFht6ZjjZ9wMK6El5a/mz0s0qRYmXGjzZjj5nXNYw09YOelUdM8syzLUnBvH4aaAmMurbIyEvdkyAWOTtESAkdsnwGH7GKyStCQ4srojQmsQIb5lg1r6VxqdDvZjU4UxyhIIdAE7kCCVETA6gpvbytTPpitjxCQ+uFlF5+z1iUpjnjPfCCjb95d16xoyhU3PdKa/QyidGEvwsyfJWLptLzAaHCSlTu3dznIgTtK1i4pX8vsWMj8JQm1jFdw5VP3n+fX+bb39YcK64Ex4yDKfFQQG+sZA3wZHIW0bpeaV8nlXIIgoAVEN6YjnOsfI0oiXEh3DOmqLy5hFBAP6e5ERArlLPkSzgooJ3zPOqTclQ5g26GMaK53hTdovUcy5p+HtQI4rXfmmIAAmG0jUsMS+NrMm6D9iDqHwnt9bHQM5qC1HVjJxZqkxtD3cwXq00RDlTa5FuuHXSC54/ztspK1X6fMgZjUqCVCIfSA2iGAqYiVg1wSuqnOZ+boYCKvT9+RRjhEa31stxvmAHMzy3qrdl3mn8fw2SLykc06VMh/NuKu8NRLiLxDP66aG9pMU7p3NFIR6s9FNzcs+sMq9ztSzuqYbWDssT/YYlTUtESsXJQQP9K4wOEw7OSXnP4BUVKU6yYCkFJ23biu41gtudIUeaS8hqwAjpve1phJQVHCq+MLjMlkA71JqNPqTCKwL1E/Ll59fWVGJCGajxRZDl6boKA8XvSd4BN2E54aVOGdlGFkSyKWEpJLF1pSm/uLayUh5pRxMdEOTy18iyHIPc2pTZHgjMGEasizKcCvDLPIX/dTNZygyhiRRFOn6sRGkIkbRGrsY1YmYMmzFPgr9MZLu4G6faImtq00RRBNcovPZdgzzzhUTcdwozS7VhWQCCYD6aL/pD3RlwiYqXqjH7cyOVQ2hRkjZqLI1aX3bSIN375IhBMlddrUtHYBnVeElEeWuMiMaakNDUxOa6WFZArwW1wUpKQFdB81lhHkDmLOFvirEonRaxquZfK58P5AsHhOHQy6cZ7lttx2BVvz71LpQMEBDAbFLC0Z50vcOrXXp6J2plGe/YscEnuQEoJKXixHLR+DX51wxb3N3d4tOnL9L5jAyhW8qmAbP33xkNWKV9MlaRSOmmkkIzLKoimTxt7bgzlGYP6x9E2Yfq7ZVRg7SBP5haRM6eKnmvXuQ4eesj62r1nJYVKCYcCAmikW0+RV8Q5gKk+VboZChjqKtwJhOD/TapD+3Nww5pHbPmwtBXLjVmcq8Ah7htxxm80I4QgXcfrTannifeWqoW8gu8LScp6m1JCeie9x13mOoGDcUeUVUWsSM455xxcccUV2LhxY03hFELgla985TZ1bqcY8ZO9LeHeLCQOBYzhLoEikjhcOKyMNqKiUujbBFb/e+ZRlLMlcQPG+Ovl3STbIEEKXR0r5RXI1DlYKu3ganTYDiPDSgBJpcvf0/8dGxy+H37ht0Exa32bIWJF3qw8kWNFCoNhPIq9tObBCPLnDkWlwI3JShOExrM8cTw77y/gI1b07mlsqVCfo6yd4V3zQ8tsjk3GtCmOrJR2748bEnGdJaU0eh1fBNtBj5RGpTwLXRyxUjrsNx0kKRmXFfodaofn1NQx+lL4g6cx/9EmEgOeWCQ1XjxiRc8KhEYAz01LSWUNNIKxxM4FzQxeGu/5Xl4bi1KR4eM/m7C8Nm440zvg/aQ5GxOefPx7V+Jz51+NVz38YFs8uKlAcFznpb73OYdHIg+TxiEkBPH/v211rMz/Zy1ziISzWnIDvQneTBFnpX1dtlmNwEmpLNS7vkY7rh6RDMaBDD6eDznL+o5ZAWlZ8Hw5cgKQzEReoQy0yHmsmWWQpfJN3fucnbyi6dom7/sRd1mLS67zhhV35jRFIoRgTG/RNTEsrYn9jBwi5MTgzz4t52Zs32scRWoS/+5DeHZ8C9pTtwwL7Lm2H6jn8bsuo/H56Zsekbw31d7iMgsclfrLjakmunVu7PnftkMB3ZmZMgrYnDfz3H8Xt8mdc03C339cdsZf0/z7TuSALdn84EvGG7/R/YVg510zGUdMvNM2DwU8eUVKHBRcm3nWs0Q1uww6zqH6B0VeceGFF+JpT3saLrvsskZFf6dhtf2ElK66euqFJjgPhcc6PSc3SOr72nsyHKFC5PEXCL3pFLGaHQqYMhS8ks1D4H6Bp41AigoRZTSHkPEoU9I7rMMNIY4k8PpIHlY4m9JB3sRMSozLsvY9KczCKouk9PCmXY5BJjAuY0PUR6b4gUQeVA8lUk65pLwjo2iG/XFQLquMu5wimyxO0T0PBZxtDLgiWRsD7XOs6N70/rjiMy5VELWrtIGTxt5nilhxZT001DVUdPg1zdlJqTDoZLUCwbFiRwcmrZkmG7qMEv0blp6Dn9gLfe5SSUaRP4SazhsynJS2ygnCNcDn/aLNG5nv5rWxqCobsWIPNWERK56rlaJbd4QnUdSL7yt5JjAuOCugvz/lSJGk1rGy+5FJ8g+/4xFt7lmm4d0WKGBQx2rGiBXBac2zpNcQGZPU51kjVtxI4oiEN/z3Rdi8XICXdOhkITSUQ/pWsr7578CeJ6DRjyICszifzTkmXU6TY4aEgUw3lQCZSkkPuKK2KykQDAD77jaHc6+41d/T/mscWc3386yA4UW1iJWuXwMA5C+gtcZfS6nSCi2xw42KKoymTxF+XYdFBtNQQI0toxJrB53G9ojkYha9OOWgoP3hlsUx+p0soN3notj5afreEtURMSql2eBxhpVKG19SCpR2PzS6ir8mNjZnMRL5PA/3rLD/bb/nehVnop1FN3NnBuqIiCAah3AexnoUFyHIMExHgglRQuikOy308MSj7hqgkHZUuvVVGVYveMELcNNNN+HUU0/F/e53P6xbt25792unMKEDijbZlLgcK05ZGR0gjhUQzcxk9YgVM6xAFMZemSKCglngKqXS6OX1HCuCVHHoFk+8TzVdWXazTLAcqyKVY5VWomJPlGFSC/tq7uOZ4WYlryitctAUsSImLoHQ49MEBdxsP1+elJjr5k6hjyEURF4BmA2ZjBtnWCENu4jzlGhcDN26cknIVFF+lnfNnyu98focK7p+xJRQknGpMNfLWGTKUDA70gXm9S0rHUSscnbYmAhOqKjHS+mmrSO89bRfGihgh+dYkec5nEvk4XYRq4a1ScU0AXvoRtcRrXue+ecSYAozMzR57aaUUF0XGlPB5oMZB/8+licmMmfmR9gOGalpKGCocNC74e+NxqmThTTAPOrZzSSWx5WfT9yxEXnxU1EYGgueh0JjALC8nEgRMGOz7eQVckpEGvCGVaF8vkmjs0eFUO1Zc6zoecelz7EEgM/+8GoAwJ3X9ZFRxCqXwdwvrAEN+PU97X7kZabf8fZ8hNhoaX4/mi0CYfJCgdc96lBct2kU7B1tOVazvM9CKfQ6sjFa2QQN232hiw221EB4z7TCaMSv0Xit0t+eYrwZCkiR5zyK/CqVhgJ+61UPwZM+8gMXsaIONvWTuhbmG4cQeS7kTNgyLLC2n7dG7KqqOSKUapNLpTVyAMf8/bdw/KHr8Ynn3Cf5WwMZDttqEs62B3iin6Y+ufyfhncTQAHZd0G0B83vN7ifCOd5ymHT9mydTET7rz9z0hGreE5ax53yZW74d/z3AbKnLWJlDVmt004Visxp69DIM4n3Pe1eeMv/XOx0uh01x2pVhtXFF1+MU045BS984Qu3d392SkLI+6o10HR+0ELiScc16IxVmpsOdvJWAE05VgCsgVFU3vCZJflU2QWUjljBKdl0QHoFsjknJROw5BWUsLuCHKtIcYsNDp8r4A2/FByp6Vlz2ZxjxY1VUnRrMAXu8bf/f/ibzsBpLzvOKQDxs1XWg0rhemLYojEkz2fKu0//8lpmeWb6b7yHLGI1g04aKKCJvZG8w/QOSqUdOyH3Pk9Khflu7oxRpTX6zDiPjUIqYqwtU1NAaAHglScejIcdeie89gs/r82ri67ZjK/+7DoABpagdd3ZECg39sBwhlXDWBQlq2Ml6tEVajKXIRTQKdaV94zySGxKjBLmjVU+H2j86H0sjkt0Mpk0tikpvIreBfWHImNBPyOPKWA86Hxdkg+dcnQqrQPPvX+OUBlJ9ZHWOI2N67u9zhH1JIyu7UZeMWU/IChgWXkFsAkKWFpCgsytXz+328Tl4pXK0q2Hc4OcDIDPsaI1VtiabYC/ZloUjudlmedhxgabZ3HO0iw6EhmXz3ngAQCArSNPGpFHyiPdx/RpBmdPZcmTVsgKuNt819VwA1iOldKtHnXycdbylKJ1w6P7XIS9l3GWhHOmbPjNPrvN4aD1C6xYtHXoNOwX1CT/mqNe4seTNhK1eVhg3aDTaLARFHAWw4qMlHCd+u85DDOWOLLdJnGeZlP+FF3bxkwXsI1G8ybOt2qaV1yccSjqbftrmtvIpQzWAHdscid6syHMYXlRxCoiKKm0xqblCXaZ6zpUTPKZhLm3jtogoShbDMnkOt20+l93VFkVecVBBx00k/dpp2wfoQJzNFFTUlVGaQ4iVrGyZL07TUVzKTIDeGWfH0Ief2sSJXkS9zR7w9O3Zo1kDAEroCYWm3TbDurDlFFSzIE44pV+1iBiFXmJXEK+W/jNbdWfVbkcq1QOBinKBBPIbOSNX0pdoTwX6tu1m4YWklnP+SoUh3oSTXzIHpjyhnFYHY8U8FoePK9npVDAJHmF9oQlgJm/aShghfkgYmWUo3SBYGWggNpj44Nkeq1xyF5rcOTeuySdCxsZ81c/N1BA7nWv17HSvtYamrHky0WJua7JU6R3Ho8FjdOYkXLE5BXG0EPwLlLjykklBJsPiJ7nw2ddhq2j0ijG0WCYfMjQS+5Z1fyaMEq6uTb2mAKoGWe05MZlhdwyXtLXsUc+zLESNYM+hPvWnSIcVud/Y/u3yhwr49BJz4eUDCcVBp3MMKRRAVWZNpZozgqrvMwasaLrxpUKIqi8z1TolVgBaQ6Oy5Ddj7fXJLRfcGKJOGJFEfIYRjRN4kilg0gJA62Ox2Il75OIbxrJK1SaeW2um0XESP4Z256I7xuxcLKkSqeNA+dM1XUIN0HlUtLNJca2jtW0EecRDPp/HrGKDQJyohryik6jYSLF9PHhbXJHAhDqLm2qZmzUzHIfkiaYHwBXI7LJ6A1ZAXVjSFDpelQt2bfAsAhTIlLX1H4fRXPLykMk+b4pon9528b5OCXHSgCfO/9q3OuUbwKwpUQa5iEZlbzsApeYFZB//gfJCviWt7wFH/rQh3Dttddu7/7slISQgswLO8ZSqPYcK4IbZVI0GgipCR4rJUQ7zr1R5MVoE2qnl8taFMdFrLIwwiDQlo9gGbSEYBSzFb5y4bX42kXXO8OsLeLFN8xY0eaQFiqqOisUkA69pkheyPJmlcPICKPfGcVUud8YhcWH6wMvpqW3FYBlk+IRSh6xigzuKOrjyCsscQbRx9NwzVSzjHn60oYVXM0OajNVx2pcKMx18yAyxZV4nntFURatfY4VteU86LYrcRIugKBWzaCbAZpyzsxncYTCGf+C/k6Py+blArvOmXwEgXpki/7OGc0x4fuBiG1PhfDDeGh5zoGLWLF9g6KvQgAL/RxPPWbv2twjY6cbwWN9MWEWcRTC5WNxkoUwx8q3Qd0dFaq1QDCPDAFppwbtG0JEUSlmqNaS/vVsxkqTBBBX0W5YaW2cBfO9LKjpk4KhUtu8Xp5fl+0hYrqO51gF/YCdz7BFQtk+VlQKnTxcp9PWN60pinQJtg/x3JAYRjWLjsShyOY3ofMrHu+V1LHyxDfp5yM4fSyDbo5hUdUiqzE5QyweQtygmNO8V2nDSsDnVeYyzHdsUvgBc2aMSgUIb9g29TLOYwQQKMo1w8r2e3FUYqHXDAU0ESs1U14dGTFxxIWet81wmjWPy7RTzxlvUtwNIy4VzE0bvXyuN3VBqRBO3iQ8x4rvK3xfa4cCxo4tTl4x3UglZ7s/00TyN1II/G7DEABw37d9C+defmsjW6EUohnGAThHidYhMUcQsdpBDatVQQGf9KQnYTQa4ZBDDsEJJ5yAvffeG1mWBdcIIfD+979/u3TyD11o89Ci2StOSiWPWMUbMWA9oki3oxFuYlwxpStIUSsqFbJjTVFU6ODrd7JaojFtPNwj6aNE6fZIceZMasOiwl/9x4UAgH/+86NdX1Ndiw/9WAHzCq7HUGcyrZBtGRVY6OYBrI0iVskcqwgKSJDHVI5VxxqbBYtkKOXD9QSxBIgkIVTMDDTIb5pS1seDGyfcA0iHixtr+/k0qBBd0wZD0TqMgpVKuTpkXEEfVwoLvZzVSgrJK3yyvLI1WKTDbZsNuqqNG5Amr+Dj37FGRZBjZefI0z56Lt7z1Hu6cUnB0bhsXJ7goD3X2LGorz1vCMjA808KbuGggJ4QwMMsRa0tX4PORzC4YUXrYlwo7Lf7PH569abQqNHeKKqUxlW3LOGqW5fcWHJiAilMTbteLgOvfln59Zk62Mdl5d4VrzPl+1BnBawbVsYQ0SpdKkEm7s/ny2okjsS2RW+XJxWUBtYNOpa8wr+zac4iTrc+a8TK9Kk+J7SGi5gOOlkwlhwKOCvUN4YCcocfN7D4eqPrpkkM0c6j/08ypGK2iBXl+C6Pq+T3VNg9ljkb7RuVlc1x9c/Y9EhCcMdS/XvJ4F5NhWrJAKY1HURlG6JcgDkzDAGP9EZHQz/jNVYhjljF/TZ74LCoXBQ0JULUnSNNYgyJ0OFYKY2t1tFFczclsxgt7j4JJ0tT92htm/O5oc/2fVDueUo4hXmbBIyKbG7MyqrJ0T6AmcupSFLTWUWOq1ROWRD3ZP9709YxfnTVhsb3Q202rcwgxwrhOifDage1q1ZnWJ199tl4yUteguXlZXz1q19NXrPTsNp+orU5cFVCuSApK4KfMcMq2oiB9shLHLLtNLCgSWEVJ1IU5HRWwCBiFR+O1lMb0oySN7pZCSHFiQyrcQAF9H1N51iFEI34uhSkxRgyda3jqFO+iTc8+jA8/7gD3G88G1/9ekf7q5Tb3EmZ8v0jw0paw8p770ihlOzgNe35aIaDMdgIZWXzjvLEuwopy/0hkUtfIJiUZBq7aRJ79mMhA44rc8R+R8qT1hqTUrlK7AAsKyCjW1faGp9wOVaVhvM0cmgpz9tJkaLEkDVuyAD+8Dr/yg344RUbcPCea4zxz54pJZuCiFWdFZB+x4t707ugZ/TPELI2xYqL0r6dqjKuVAGeYwUHEVqaVJjrZs5Aj8eByCte+tmf4OLrtuDVjzjYtsEMcGEO8V6eYcuwDNrIZARDhFcUxoVy0Sye/+WeQ4XwmdSeZRweAlKEhzctuTQUcDZjpUmUDiOxbQ4lYl1cO+i4GmvmWZqj6Hnm8y0r6yiYZjTwCFMa/qVdxGq+mwd5fkGhXxuVnhax4hTt8fNUbJ3Sd65vM+Bj4ogVNx4o55OLf5/TDeVKm/2h6d1TTmosNHbLE2NYcedHm7LrWQHrD86hZHyv5EJ7EDmJAudHQ3QNMGfGpKwgRVjAt62P5n4CgA5QL3XyCmBYmALhgxaDh/bemckrtK5FvAka3ha1mMVoie/jf9tOt15a51bqGp7+YPbkhv6p8AyZtZ9akzNUB583iSkQ7MevqDy5SZgvlRZpdYTUmARrOPpucVxibT/NDknnjo7Gh/4/o6hgVO8ud/N3NmfMHVFWBQV82ctehrVr1+KMM87Apk2boJSq/VdVaa/QTm83zNwAAO6sSURBVFm5VIryjVoMK0U5VqFyRhIqG805VnzpZdFiJSyxEIYtTrKFO62MiMux6tRzrGhzpIVm+sLyJxJtV9oX03RQwDLEwdPCjH/vitaxz+JIDo+chTlWib4oje/+5mb/28qwAjYpXjSmFA2TQiShgOT15BErKeA8PKTQ+IR8X7uEIFaZ9LA3gjTWoYAMfsYOAZMs7qm1XYHgKYoXjVsqeZvj0oXwylypFIrKGFFkRJLXaqGXBxGqXsdfQ8pnZX/fzQ0UUCM01ANjAEiuJT4vBWAPNwbpkSIYaw6rA5rzHzcPC+xiDatUfiOHrpHwHJt6HSseeQvvpZQvOE2KDTdueOFtwzKZ1eYEj0hwhcdDAcMSBGVFCivD+LNoaWoNjMvKvZ8UFDA+4LOEQ8C8mxRTlYeR8DWoETpMViNGCfZ9Stk8+7/uf/G/P78eW0cFBp3Mzc8gYpXa05TfC5T2sNdpfQ0jVnUooNIetjewhjT5rCelcux+gPXETzHkSjbH3PM4Y8P8S3BcvzZmU4BjI8NB2YSHDsXPBsxGXqGURi+rO/b8vdOJ+L3cRH4IqjxLjpUAz1euf8/3e563F1wjQuRBCPtuzm3JpXTkFZ4VsMGASCjd/N3W2eOEg0y3RZLIoTGLQUGOhHifGxf1uoaxNNUea+uTu0cb3bogNEjzu3FttRh3MQpkmgjmbKyUDuZ721jmmYG48rlJhvcJh6339b0a2sgEM4ISfWrqw4bFSeM8lMI4EckB5tpzfQ4JM1xfrLN8R4UBAqs0rC677DK85jWvwcMf/nCsXbt2e/dpp0QSen/T19BhF0ABuYeLRazacqz4XI4x7bRBSGG84UGuQYOy/Y6v/RKbl4sgYpVidpKC7ucT9cmYTFLDszGhSFVIt86iTDVF1vwb48tTOU584ac8zbSR9fMs+G0uRTInAAAmNjKjVAjrq+G/haeLJqVWa7AcK3vwalLAvaKv4eF4hIuniFXcpbYCwaWiAsF146JNuDeXO1a9wRrlLilDgkCJ/oDPeVo31wneR48p8ZU1tFzEKmN1rASrY6VD+CcZqFyU1njCve6CX//9oxy8iYwn8xvBCBx80i193zQsm5YLrBt0ASBJxkK/4weUUtywitagNVioT/EzcAp7MsLonn5dCSyNK/QtNCyAyLCIlaG3N3ObDF0T/YSbg6V9J0qj5oWP84nofYwKhY6NiAVJ4NQHHSvYdWOIr3Ed/ZbGRgoOK/F9WXWOFVPk4kgflwt+uwFbRyXW9HMQXHIahDCG3JZED84iuCnh+2kmhKNNJyEjBwDme1ngbJrYEgUksYMnJRw+CPhcIHoGAM77zZWyWRi+mqI3AJLQamJgnaVAcKVgx7P+fDdtGWHzsGiIHAnMdXMHdVVuDqna+uOSsXlS+46dDU2QOXLumDUtg3XUNk7d3Mx5sz7pGRr6GJ2BQHtR1kwKLI7MvszPvFikoDU2/Z1TTlFRhqVHiIyKI1FiaYNjxhIbp0o3jyFFrFLQOPM9AsO4qQ8EdZ418kLOVAAWLaLYd81tOEZPtr9RO3/9iENw6d+fZNpoeB+0h6YigCK6jstWyyzb9CxK+7Mifg7OCsi/z6XAqFCNEdkdQVbV8yOOOAKbN2/e3n3ZKQ1CzHFmnaQPPafMJ+jWJ6XChkVDF9tmoMUhW8qx+sT3rsTjP/g9H2WwytQ0KOCoqPDRc67A9y67hbEC1j2wdABznLDzzMu0wkqwjUx6DzsvEEzGBy3ueKyA6FkjAyzMO+Ke/7AtB9ELjAdl+5Y+xF3+lg5zZuKDk6J4nLyCKGCNZ9snNwMGDkr91Fq7zZUUSqWN17cpUmPgR2GEpqx04MmdhWKano02Rr4Z88iJjDbYojSQJerP4rhEN5NBFMsXCDbvhUeseO0lpXy79Gzca54yuI0XWKJrPdQaFE2F6yc/5Hl7QjQrvhuXJy5iZYp+po1zDhkKWOEiunWaL0BdWVUaLMdKW/bIEG5HUZ5SmcMrVvRp/LuWCISecRxHrKR3CFDUg7NpupIDirftnSBUc8w5ftmwJFkBE4YwRZLD38KOp7B7mI/2uryW1bICMoWF9qvhpI7O0BrYOiqx0M/tOvKJ/Px9cHERK3tdUXpHwWU3LeKP3vC1gI7f/Y61Re8k6AuAQ/cyDtC5bh44iCaMFRCYTsjhf8ONXh6x8vOMe+oJojxNOOlNLDSOXJRuh/fVrm1gBXzMP30PX77wusZ7D7oZlifGoKD1WyndaDcIgcAZVXsWZtyavareBld2ObET4CPCKcmlYQUkoqo22W2+G/QZQGMEgvq9NC7R78jW/CkhBKqqvYCya9PuPxNrsJOjh3I62yJWqmW+xCJlSNffSrdO0fSGqBZ3qhjDId2QUgQnnKmLAaGTQQvMtk/RXHAQ+SrMseKRX6B+VtEa1om+hnmS5t8XPfiP8FcnHASgefwleQYivZL+l+dY8XvkmSnR0Wbg39FlVYbVP/7jP+KjH/0ozj///O3dn52SENoAmqBopGDmmQg8iXTgvvebv8aD330WAOvRFOl8kBh+k9scq0/94Cr87JrNLGJF5BV0aKahNTdvHQMwi53o4Lmy6+9r2g2hWwR3a65DRd7difXOjWbMsXLQq2jDCPNMrEJeeWa4VFv0LDGjUW6NvjYoILGvcQWV91FK5s3jbHHBfOBQwBD+6CF8pOgYGFM8nATl8gqz+byTSUu3HhoQs8CojBfW/H8QsaDDSIcGnNKGLr3f8dTqW0cl5nuZyfXiUECmxPO8CTKylI2ocGWEvPZc0YvHoWLRHjKUuDeNk2HQ984jjPSaGhUVxqXCukGn8ToXsWIHiVIsEhnNC17/Kz7PybsNpCNWtC6EoKhz3WgJ8yG9IcEp7rX2MDweweCGbCZlLcpL62TEoYDsHfk+1CEoqXXsIdKs/y5iZf6jewr4+bA9IlaZBDYuTXDYm76Om7aOgutKpbA4LrGm33EKXWjUJ9q2Y03PPbHQ1rLS+O2tS9AauHrDUvJ3JAS/5KI1cP8/2h2/eutJtfsTfJZkGiEH/aYTRLnqESsymKkrKYhiSpoosAU8kU9wPVv/0/J8qRxD6t3TWdWkJPY7kjkWqL0pOVY0T1KKOYsMNpNXwEGp4mhLE9EGYPa9Uakc7B9I23/veNI98JfHH1j7vCkCQf3eOi5biSsAQrHMBoEj5wvV4qQ5OHa50+m0Eu3W+WwKeMbGfNPyxOWuNV6rQgRH6nsADrmQElf6Y1bjj+3tMTyyTWjPL9n+ljJMmnpBOpxxrkdXcaPIfrfXuj7Wr+0BCOuexT+ktRJAAd156tct72onE8awajHw7+iyKvKK97znPVizZg2OPfZYHH744dh3332TrIBf+cpXtksn/5Dlxi0j3Lo4aTWIaDFlUgT4aLJfzr38FvcZGQgxMx//niSPcqy0PSiFCMkr+IbFZfPQ1AXasDRxURximuPi61jJQMlKKeYkPqIjDXNcN3dQQCJocEaGju9n/pWB4hblWLEICSnkqbYc4QLbAClSxJ+Hi4MCOsVdBN50+o4iViGxg/fwEJuSYw+rLFkFfD4JhxmagyQVsbJ1iJQOIgX0/jnD0CyKFxBivAOYGaM/5wZLpYzCxiOam4emVopJzKX34aFpRRVGqcpKo2PrWFGkhUMPNfOcpaIGFcsbJMheYACKEFam2CEkhMCLPvNj3GvfXfD2J97DtUlzktexiqeEj1j5+UgQEoBFrDSg4J0bAGpeY8UOVEN3XI9YCft8FZ97kTdcCGuYaj8fXIFg5RUaKcx67nWkfSfhwR7PF3JYTEqCAvK+sefQPpeJj3csUhi21ADiwxwMvM4dGcM0NisVXrKC+nTrklHIb9oyxvo1ffacREmdIRNUTNY/i+tn9M45SUxpSUEqpbHBFqi9eesEB64P+8XfnVn/0ZyweymtG26k1iJWcnrEyhDGpHOsOBEOwI3Q2QyrZiKHNAJAaxNZveymRRzw+q/h8rc/ulGJrZRnumySJi+5IYTw65D+bVYphZu/SbputubayCsoVzaGAjZRwwNmPCalSs4FLk+/777Jz1uhgPYdznXbVUfzfDNGrITZZyhCOymVjVipgCEulsrtQ9PvQfdRCrj4us14zAe+Z3/bYljZcyR1Cd/X+LlS7yPltc7WSSFCds5ZHUCuKHzF51R9frQ9b+xI5H3yvzf/9juZO9Oa6dbhCgQH7dk5SY410yd/k0wKDIsq0GV3NFmVYfXzn/8cQgjsu+++WFxcxCWXXFK7Zkdl87ijyQPe+W1USuPQvdYk4UuA32ByKUOvN10rwklrPNj1zSr2VtAhSx8ZeJ2NWDGPWcr7D3gP961LYxfFSRXVdBGrTASHF0Wsks9sFa9MGuVgt7mu8xqTou1zrMLfUntxwmSoAHoDjxjKklDAhIJG0cNmunWCAobQLqU0Fsclzr70Zhy4fsHlWJUMCkgJteSNV5qzx1lcvfSfk6KmNSVJp0kbSIGjdwF4uvUAHtig4KbGgPbFOHfGfFbHWheVgfltsQb57zYsY+9dB7aeFh0YykWsisq8G2JOcxEr7T2N3JALc6zSuWZu/dChwA7FjB3ywr4L3x5wyfVbcMn1WyLDylxP+Qh02HBJRawq7ROXuSMi9u6loIAZHbIqzMUjESJ0jtTmfkXEEyJQGshIJKOEnDREc2/6yiNW9SLW9Czjkke5wmgH/X+Q/5Ew6LlTgn/DFdVMcCigJ9mhSNnWUYFd5rqYRWidcSggGZKUD8ijJkuTEvPdHJXSmFRVUCCY+i8RvvMYCtjrSBTcsFocN/aLnrd29OrYY+zHclL69UTPNM2wKiIoIEcV8PWtIkfGLCpBbFC7PiNdx0ppY+RdeYuJ5C2OSqybS7OU0V5RKd2o7KaUUcAbK0D4jtvSQNoiVkEdK62T15BzhyIeMWteW8QKQFB7cCXqWFvEiu7Z77QrvcI6tWbRA+l8mthIqItYFRXW9POgcDsXmgqzULrTfUqlcOMWH11u6t4sUECnI6DZYHEokJnH3ztWKj17xIp+Q/qIiSqnjfXkXYVwazZ+ltgBDRg0w0LPmA/NBYKNIVszTplD1XADRBErKTEqFHaZEhW9I8uqDKurrrpqO3djpzTJcx+wP/7le1c6+E7KyKDFl2cigHWkrs1EXdnh1/P535HSFsmj7/0ByaFeMYzN9cseRLdsnbhk9BTRBSm8tfC68HCIWl9tZIU21YV+jhu2mO8GncySQnjjI74fgCDJW4oQCliLdDAWvuAZExtfqdpZATnDndLE1GjeyX/+6Hd462mX4H9ffpyjk+fkFZRjxZP2qUtF5SNUDvomfaRNw7zTuEtV5dnHKu296IZuXbl8GWCFUEDhFXw/NpQv5OdabqNyJUWs7ANdvWEZ++42FySnV0rXIlb0G4L6EFQtk8IdNBQZ4YQatXnB+izg6c1p0+fRD/MMDCKZLP1r8v66uWSRsHoENhWxUixixY13OvjcHK4ZVjxi5RV1DtVykSZVMePHd4qcJrSuqV9EH14yaJ1RoDyczOeF2SLZtba9Qu/ysir/jkj4/AHC/Cg/Rj5iFZNX8EgJj1iRwVZWGh/77hV45+m/wlXvfAxmEU6KAYQK86gMIcFCCEvPnWFpUtm1ieD3NYePzQukd1pUCmsHOSqlnEFPkDUu3HmTigxpxMnj/t6Tqm4kDYsKV9+6jH13n0uOwySCAgr2LI6IREUwWiEaDQEu8XvnfSZFjBtFShslj97/4qTZsKJSDXSflELYFK3p5dI7t9hca4oIkUMDSMPApAzp1tNFaD2EO88ExmV4PjWNZ0yfD8wGl6PHaoNgUT+nRqyk2QNmMehon6Fi1YTEGJUK8z1jWMXRXSB0kB60fmHquUQG2yyEKgTBb4ICcmcV1blMSeysnCY0zwHPlDuLdJxjy8+pZBS0kbzCz7X4ZyK4jgzrDGsszXqnNWJl959Ee+QoURHs20BZK+TZbA6vO6KsyrDaKbef7LWu76IOssHK8BErEXq9/cp3n9Fmm2Laiz0vnEzCNONzNkIoYDpkTZ/dujR2xAD8QKE2SQnmER7qSxMEiJjqqA/zPT+Vu7m0i9kaGdFvSU8NFDdp7vPh71yG/7rgGtx1l4EbQ9MXBLUrXD8Y9InE51ilI1acLMLTrfu/AWDjUuHGumIbbEUsOvBeJh6xksJ/TgQjUngPcp7Vc9YKMkh0AgpY6WCTnsWjDdRzffjYmO8RKJo8YkXz45qNQxxiI7UeNgOfY0URK2sUBux0OmQFNJHHMJm+ni8X1v7w3kbvAaaojTfU7I8bzs3hJCykmfLg0vA4hcgaERziaYQpq+StjZrT9hCn98TnAwA3BqQMCwGnyJCMCsMWSG3Qu99q2cA8FNBHrKjvBZvbRLgTGNaMut0nXPt3RBLnnaTeF72buL6fit7juAoNK4paXHTN5vhVtAonxQBCT3ktmgdDZz/o5hgVykYPfZ+o/1x4CQnA51gVlXbG4ablSaJfbH8XqRwrXVOO6Bc1unUJvPvrl+L8qzY0GpxFFUIB+XnC84ZoLpp2Z4QCNiiygD/buFFkcqwyx9hXNMDGAIpYmbVoPOX1a5qiH+Y9eBIZ16uWR6LnSEWAOHy+UumIFZ33ShtEQex4aIMtAtaJCu8Qmyb0DtvY2Kif03KsCIY9yzs3BFTa5e4RqmVcVJi3BlypNLrR82q2B/7bC+431XCniDXXCJr6R/m5KUOD+hxCAdPtrLSOlRQRFHBG8opM+rIlQAu5SUM/pHV4GyeMnzMcscCl35FYOzDvptcQvRTC63exY4f6bFgBZRClzjMDe20y2HYEWXXPq6rCf/zHf+BFL3oRnvjEJ+Kiiy4CAGzevBlf+tKXcOONN263Tv4hi6GS9rkzTUYGYCZqim49/g0p2rHE+FqzuSi34SrtIzcheUWadpg8fLcsTgJYGt8r/OYYFtSlvnBve9BXFSohC72Q7pzyCkTi9ynyCtpYPv+j3+HKW5Y8wYT2eVCkmKWekXuWqFgzwftiKRPwNPLskxJ669LYGZuUfwSEOVbkZQpyrKzSrLVXMMlIIHbJWsRKEYQunANUIDg2rBKvo/6Mykc0uSLOjX1usCgLe+ARqy0jU/+JQ9WUNgY6QWMoP6xSNseKDkTA1mHjil57gWDO+EY+DH4o8pytSqlAcWw6N0dlZFihPh/jiFUvN8alhwKyiJVVVlT0GxJS4P1zhvBDR07CDrcYCjgqFPp55tYeHbSLo9KWS/DQOsP+pe3e4yOLnBWQPy6vUeaMMRYJ+MczLsU/fP1Xwbswz5GoR8efjyudLOrKI1Y0PlRMk9qfRnrA2wXAHEp1w8pHrExB2fluZrz3ihWabjKsFEGOzd9lpd1coDHalIBF8XwxHvEiUZHiR/uG6W+dFfDi69oNThNZSOdYcep8vpc85JA7zaRcxmyQJEL4+kqhs88YPc6wavHwUz4m0Bx1bzJWujkjr1DhPpISAb83pCBZAStggzEpEEK6vSIf7smxdBJQwOYdqvn3KaE9vd9SwwrwOsEs75z2MyLB4eQVc/ZcT70vWo9CCOy5to89Fnqt9yFjia+XJkOanHncIZL6HqjrTXEfV0S3Do/Cedg/fmdFJDs8f50c2bX2G7rB0wXoGro0DQXMXGFgDiUO72XzlKOYlcuxsgW/4yhizvbuHVVWZVht2rQJD3zgA/GMZzwDn/vc5/A///M/uPlmUyB1YWEBL3/5y/H+979/u3b0D1Vo0mYi9AxyocXUkXEdK+8R45Ly/gL1ZNxc+hwCe4XzgMd06ynyCgcFXBz7ZPbICPOQprBOiQ+fpxV5Up5ooXNoQhAJSihk/J4kmR0T2tRi44eiR/E+5+lNw6gMRQ/TESuvSDqCCXuYLFkFYcPSBERBzxWrsvJGI33nE/K9Uk0GF9U84vC4VI5VJxe1A5s8SvwzIabXufFjYOYive8Q6unHn1jTikrZiFU4jjwvj7y7ncwYVpViMEbliSy0Dg1ngl36qEE618w9p0myCryRNXIJtmCaPJ+jSRXmIyScGvQ3HSjdqCYURYG09hGpVJ6gacuvUQDWIcBhKz5iBficHL4mz738Fmhot65pfm0dFYa1Ufl7S+slJSdHEUBRZKCAmM99xKrLIo80Dh886zJ8+DuX1+AzqfdFa1wgXJfhHGZjo8w9ujafkKIebXTOXFyyPCsQTEI0/Dyfa3lsoIAmwu9rHhEEmfeZrxG6jhwNhfIMaZuGdcOKt5Mxw4yESk+Q8P2/FrHKpudQGgU4VLbcWUMOEKVBhVMvfNPD8epHHDKTcsmN4lhc7kl0fnQy6XLc2t4lMYgCzaQATcpcmGPlozptuh9910kongEroGqoYyV83gtnBYz3i1hc39hcmlGvB9Cu0NKe2m9Qpn3fp7MmktD+PinNu6Q9Y1wqFrGqv9cm51LjfQQZVpp9lr6WGJFVdI6Q8LNM6+b937UxYx95NGfYwIbYJATdN/dNF7tu6gWdAfG+Gws12c2lY7ptWkvkGKD24zYy7rhNGFY7MnnFqnr+ute9DhdffDHOOOMMXHHFFYGSnmUZnvKUp+BrX/vaitv9yEc+giOPPBJr167F2rVrceyxx+L00093349GI7z0pS/F7rvvjoWFBTz5yU+uRcauvvpqPOYxj8Hc3BzWr1+P17zmNSjLcjWPeYcQZ1jJNlgckRaEdaycYhYdNinvL+AVFRLaXOj1kmJKESueIJ7qV1Fp7LW2j+s2DbE4Ls0zSBEdjOZfE7Ey97t20xBFqRzUqImwg7ztQOhlC/OQErkZ7J5+TDxMiNowY+iNvFQNJ1IKg4gV61uVGGiOg1YaAa06KQjEBEnGDa8hRMo+hwIKQXWsGIzN5mwQzJHgcbGhXVpPIR3i3NNaVjqA58xS54aejfbFih2AnBSEGyxE1sBZAUk5J+peev5MGidCUYV064ZEIXPGMPU5l95zxqNPSgNf+PE1OOJNX3dtB3TrCCNWfJ/nkUO6PiVDC6sjIUIILs5IcnNZBgpAqo4VvYL4vnSI8+KkFHmie9HcoXvGUcx//MavceOWsYPO0NzeOjL1a1yOlSV0ocLUHcaC6VkBw/VLzzSpOBSwnrvC5w+AWh/pWQ3zXwwFRPD8fJwNrEoGjqFRSwHS4H7M+AHiHCsLBXT5Z4a8Yq5HdaxCuvXa87JoGDU7cSyZBgq823w3CQXkOW5S1CNWscOM7/9xsd+2Yu8kRRUy0gk2vyrlERE0V3eZ61qFubVZAD7PLBYBr3BxRY727CVbY6qt7g8v1bCaiJUzrOD72Ma6R9d0EwoidzA2Ke/kSHVIA/vOSHlujFg5Z6zv3QrsqlYjgJTd/gxQwEqpmQw6OleJcIGK747LCvMtESvi35o1sOHOGTZHmowIafvgIvyJtjiKoqkLKyWvcA6vVURruCO3KQePnjde4nQexqgO8y+7js1pYgVsihIT5Di+F+1VLscqMjwpONAWOb2jy6oMqy9/+ct42ctehoc//OFJL9TBBx+8KoKLvffeG+985zvx4x//GBdccAGOP/54PP7xj8fFF18MAHjlK1+Jr371q/iv//ovnH322bjuuuvwpCc9yf2+qio85jGPwWQywQ9+8AN8+tOfxqc+9Sm86U1vWs1j3iGk59jEmskryko7PCp5eAadzB2QpKyTCDTkWGkEO7BPFvbfC+FzrALvf2LjKyqFfXYbYLf5Hi66ZpONWIWGDve808bwwHd+Gx8953IA7UQbHArIN0gHBRQU4q57uqnfJKREOtpSUu61j35xBYLEQwFDpZAKr7ZFrCrtjVkyhgjSQlBAUigL5tWnjZyMRqW9oUFtUT942xSxiqeQgUfxOlbe4CGPks9ZmQ06lSKvyJnirXR4iBiPZQgFJOU8l1GitxDo2JyHqvI5M5Uyyc/kDOCRN6XDiJUAAK3x7V/d6KKERFcPeGXR9LNZSXeHUMM4DIsKg24EBYwLBMPnOgFwY+AdI/4Ap2egV1AjKtARFBDk+fZtkMOCfk8wWABBsVuK4tL9t47LRMRKOCMozzxzmc+xisgr2CEc52XxacXnIaJnCK4RPheFpGS0+fzA1hpBTh6t9aY6ObHUyCtY20XkYFHawAMHnczk+jElk34W1s3zRhvNA6oxVdocq/VrekkoIJHP8D7xvU0jnCfcWUV5XO47tl+m9nTqF4/C8PlYKeUcA+bn/r58vJrankZeQde4drRR1EZRxLCpbV8Dj5HQsHnV5CXvZCF5RZ4Y51i4oyT1HXcgpZR3UnbjiBXfT5N9pb7J1ZFXtF1L49cE//J99wiKaUJjQbBUMjrHhQpyrGKJ1+M0IYQHb6uJqCOXMglT888XOhib0oHoLJq1j87ZOOP1QZ8zBgVUOjnvqNn4DKI9QbPzTrjvRO333Vy6vjbNQ9JXI7XS7Tdcv+D34A7RHVVWRV6xefNmHHDAAY3fF0WxqijR4x73uODvt73tbfjIRz6C8847D3vvvTc+/vGP47Of/SyOP/54AMAnP/lJHHbYYTjvvPNw//vfH9/4xjdwySWX4Fvf+hb23HNP3Ote98Jb3/pWnHzyyXjLW96CbneFLCNLS0CW8MxkGdDvh9c1iZTAYLC6a5eXMSiGGExGGExGGE0mkEtLpg0hgDnD2lQqjflqDCwtYQDgyjc+BI/+wHchlpaApQGqxSUA/jk6kzHy4bDWF7m8jP7YU5HmmQCWl9GfmD6oxa0YFEP0xz1kwxHmrELiDonRCKi8kqIWF7GmGuNuc8BNN9zqDAWt/bVqUmIwGUEuL6E7HiJbXsZgMsKNmzWO3Nss+LwY1/qaDZfRHffR1RnADrpuWaCjJ+ZZJiPkoyGy4bL//WDgI1ZFgcHEPO98NYZeXER/bMY6G3YgtPIQsmKC7mhYGze1dRGDyQhVYd6b1hqimCAfLaMzWkZ3tFzreznx1MyiLNEZDTEoRsDiEsTSEgaTEYYbt2CuHEJWlTt08qqEXF5CbzxEPlxGbzyE1BMMJiPMdzPownqFBaCLwvVhMBlCLC+hM1rGXCFQjAqgKICOCeWrosCaaoItoxJYWsLcxDxjbzxEZ7SMajxxG18OBb24CCw14Nk7HaDbNcqH1sDSErqjIaTSmJc5qsVFYEEiGy4jr4ySmAmBqqyQDZexpuq6McuHy+iMh9ClAibGU18pjQwaC+UI1dat6IyXMV/OY2k4Rmc0xNxkhLyYYCxyczhpjbXVBFWh0YNENlwCljroTUZmjlR+n6oqhf7YPHu2vIzu2IzboDCfdSY+WlAq7d4VlpYwV4yh7Ht1+0a/j1GhTI6VnQNmjutgTuilESjHEADWqTG2jIaQQ9O+WDZzrCdLKMsuR8pgdxLOR3rn88UYVVGyiBWA5WV0RkN0hma+jSYFOqMl9CcjiOVlAHDwkxP2X4NstITOeIhsGW6drKtyyGVzPynsQTscoj+nsVCNoRYXgaUcemkJ88UIndEwcIyI0ci1NSjsWltecv+6d6E0OsXEPdtgMrT7GVt79kCuoIHxyH+3tIj5wvydDc1+Muz0HDx2XpfQywXyYReDyQjjTVuBjBlXg4HXlCYTs1YAqK20NywDEzOHhVbQwuadTSao7H4glpcglkfoT0bojUfIR8vI5jt23AQ6VQG1uARo27bdB7PhMqTuQKoKRSXQyzPoooBYWsLeXYXfbthaP0NKk/u2FYAszRqeL8ZOgexUwryzJQC9ns/VLUtgcRmDrp+P85OR2ec0MBqOMDc/cPfA2DAS6sVFLJSj4N3oSeHeW09oyOUl9CdD806XzLzu23OstFFlCWHOi5E/czpjM3+xZM/qDhXWFsihze+3bAVgzt/eeBkLVc+168grlAKGw2CY8tEy5oo5s18PR4CtO6aUdnMSS4v18c1zH7HSGr3x0DgYJgXyYbS/Z75enRQCg8nI7meh8jlXDKFHQzdmmRD183hpCYPxCPmwg/7azBk+pe1vNloGdF2F6xXmPZkcK4F+MUJ3XD+HbEedHgEA/cLsi348loJryaDqdzIzvkolrx1MRiDyHADu2pT0RkMXGe/mEgNVQC8uolrcinXarItq6yIg7P46Pw/AKO29cgKxvIQkEwlgno0cVmUBvbQEXfk+d4ZDbx2za7NijO54aMbC7i38OTNopkdMkC0v156fRJUVBEX42H4Sy2AyQqbNvM+k2SNypk/V3l+/7/XTosB86fdfsbSEvmC/6fWAPDfrqCrRG4fnRm8yRDWukA8nkNWC+zxTldl3rZHWHRld0Pw+w9seewgecsRdzMVsjwCAfLiM/niIwdjMKRQ97L3rAI+6+15AVaEzXEZ3NERXFnbNm/XYHS+bZ6c9ONojamJ1DjPY9XW/6mvz3IwbYA7Q5YY1lBK9CjniiCP0i1/8Yq211rfccosWQugzzzzTff/oRz9a3+c+91lN007KstSf+9zndLfb1RdffLE+88wzNQC9cePG4Lp9991Xv/e979Vaa/23f/u3+p73vGfw/RVXXKEB6J/85CeN9xqNRnrz5s3uv9/97ncagN7s0xrC/x796LCBubn0dYDWD3lIeO0eezRfe8wx4bX77dd87eGHu8t+df0W/Zs77dt47e/Wrdf7nXya3u/k07TWWt9w8N0br926ZlfX7nM+8UN9w1H3a7x22O1rrbX+wLd+rV/1nxeacWnqL6Af8d6z9WfOvUo/5xM/1PopT2m99tBXfkG/6F8v0N/+5Y36jPuc1HrtUS/7d/2q/7xQ73fyafrTRz2m9Vp95ZX6mo3Ler+TT9Pqr/+69doTn/ch/e/n/Vbv/7rT9ObXvqH12he9/CNm3lZKv+2hz2299vR/+pze7+TT9NP/+Vz90ae+svXaSz/+Of2Ad5ypP/2DK/VfP/oVrde+9mlv1B/89m/00z76A33uOz/SPg6f/KR7z+9+2Xtar/3eK96iX/JvF2ittX75i97b3u4//IPWWuv9X3eavuFb57Re+9UnvlBrrfUj33e2Pvcr32m99isnPkNrrfWTP/x9fcb/ntt67ZeOfbx+wDvO1K/74s/1US/799Zrz3vw49y6ePUnv9967abHPN6to38689ft42D3iH899yr93E+e37pHDB/wIH3gG/5X/27Dkt7v5NP0xvl1jdf+/M4H6StvXtTP+cQP9X4nn6av22XP5rmz+776oms26af/87n6vy74ndkzGq7dstddtdZa37h5aNbGMcc0X7tmF73fyafp4aTUx73rTP2Lg45qvLboD/TjP/g9N9d+dMSxreNG4/u6L/5c/+q4R7Ze+9kzL9bP++T5+lkf/6G+/NHt+8lRL/t3/cQPfU+/6csX6a8e94T2d3fllX4PfvWrW6898Xkf0vudfJr+4Ld/o/Wb39x67Rvf8HGttdbjopq6Rzzt6W/X+518mn7rVy/Wp/5J+x7x8me+VR/79m/p/U4+TW/40Efbn+3zn9ef/sGV+vmfOl/rz3++9dqlUz/mx+G001qvvfhv3q611vqh7z5LP/85/9B67dse+lw9KkrT7vnnt/f3zW/W+518mr7/27+l1UUXtV576n2fpM/61Y2m3SuvbL12y/P+n3u04bXXt/fh2c/Wr/viz/S7v/4rrRcX2699ylP0fiefph/wjjP1d399c+u1Nz7oBK211vd/+7f0j668tXWPuPyIY/QJ7/mO1lrrDYtjfctgbeO1Gw6/p97v5NP0m7/yC6211r9bu765H0yPOOhvvqYv3b1Zj9D77ad/e4vZo/7+tIuNvtJw7ab5dfoNX/q5fuT7zjaNP+QhjddO+gP9iv/4qf7XH1ypn/vJ8/UPDm3WOTTg+nvjlqE+7ZAHtl+7uOiuP/vYdv1E33STu3bzc1/Yeu13vv5D/bh/+q7WWuv/fOjTWq997/u+pN91+i9Nw1P2iBf+5Ye11lrf481fn7pH6LPO8uvzgx9sv/Y0c8YNJ+VUPeLMUz6otdb6wDf8r37J41/X3i7TI6btEfqDH/TXnnVW67Vve+hz9dP/+dyZ9wgnv/hF+7WvfrW/dsoeof/iL/y1N92kNYxNAEBv3rxZt8nMUMBzzjnHEVS84AUvwCc+8Qn853/+J7TWAIyHZjwe42/+5m/w9a9/HS960YtmbTqQiy66CAsLC+j1enjxi1+M//7v/8bhhx+OG264Ad1uF7vssktw/Z577okbbrgBAHDDDTdgzz33rH1P3zXJO97xDqxbt879t88++6yq778vKSrVjqHW0d8zh85lsoZULKninen26qyA0663mK2p164kbExsRdNgCp1MOtrgaUPG2dCmSaU8XGrasAnhYXLT2w3rWM0qVaJYNBeTryRdf6YJJ8pokwAKOKW7nM5ZTskYoLyEWeYEH6dpDEz80Wdla6qRV6R7AcEKQ7b1WmuPXZ9FhPCQjFmkmPG5qO1Z5hr/ftZ5yYsvN16jfR5lCtociynIfduwTc1Sb8ZDSqe3R5f0OnLqu1NaO2jeLJCjJnh1LOUK9hDayCgvcprMsE0GQpDWaTIrPfVK1j1gyStmJDkhmZar5vY01UzYQWKijOb6WfepWeFnKxGi1p6FWKCJUS8lxALYzabt7l5WMj2B2ebPrNfSuTyLVErN/C4c8+NMV69cZumGcP/+fqF4OzJ5xcxQwIc97GH4zGc+g2c84xn4q7/6K1x88cV4+tOf7gydZzzjGbj11ltRliVe9KIX4fnPf/6qOnTIIYfgwgsvxObNm/GFL3wBz372s3H22Wevqq1Z5fWvfz1e9apXub+3bNlijKvrrgPWrq3/IIYH3nRTc+PxIdOWexZfe8kl+MU1m/Anp56LBx+8B25ZHOMvHnIgTjh8z2CFVErjWS/+EL5/8sPcZ3/8T9/Dqx5xEO61z6448Z3fDpr98vs/i8uu34LnPHB/HLbXWrepf+DMX+PmrWO81V6XS4Gvv/uT+Ofv/AYblwp86BlH4R+/cSnufpd1uPTGrVjo5fh3MLzxF78YQAE/9f0rceHvNmG+l+MX1272BUOVBj7zGeBTn8Lm5QL3f8eZuOCNJ+JrF12PMy6+Ad+/7FYMOz3HavS+p/w1HnHWF4NneOG/XoATD9sTg67Ehq/8Glkm8LYn3h39P/7/cNgXnovXPepQ/OiqDTj+0PU47efX4RPPua/54WAAvdFAr/C2t+Gw6v4AgMff6y7Yf/c5fPtXN+Gia7dg390HuG7sc3uW/vpknPbIZ+LsX9+MU595tOvHmb+8EX/52Z9il90W3Lv45DF/jL/4/Htw9YZlvPSzP8F3X3t80Pdrf3gtcN1voLTG6Q/4Y/zRq/8S//K9K/DcBxyA039xPc669CbcddcBMiHw9w89BuW/X4hJpfDlwx+K/V/8bHz159fh7/74CHzn0puxPCnxXxdci73W9XBrIfBSq0hf89CTcN/XfRn/9sL74Z2n/xKPPfIu+MT3rsTd77oO12xcxr/92YNdf35y6H3x6k98H5ffvIhnP2B//PdPr8Gnn3c/XHTNJrzk33+CP3vQgchuNaH4i//oHvjeT6/EcQfdKXimB7zzTDzowDvhXU8/2jODHXUUsLiIw/7WkEPsubaH9z3tXjhq313xie9dgQtvXMZj7Dzbsv+BeNzbT8eTj94bH/z2Zbjgbx+OJ3zo+3j58QdiXCp85ofX4PEwCndx173xuLefjtc+6lC8+vM/w9Puuw9+8tuN+OnVm/D2J90DHzjrCqdAbxisxUPf/FXcsjjBfDfDp59/Xxy611q84j9+invtswt+fO1W4NIN0Fpj1OnhU2dchOc88ABccNUGnPzFn+P/PfhuOPNXN+Kf//wY3HzrMvDh8wGYQ/3M8y/Hh8++DF98yQNx/7efic2Wse2SUx4JkZutlWpC0R7xpq/8ArvPd/Hih94N//Wj3+HP7r8fbtg4gvjoj9zh++K3fgEX/m4zHnfknfHVn1+Pxx55Z5z28+vR70iMKo1vCE9e8fRXfBzfefVD3Xt43qfOx2OPvAve841Lcetygf/mhvaPfoQnf/h7+IuHHIi3nHYxbtk6wRdeciz+5btX4h5774LnwTB5djIBcc45uPyGLfiTU8/Fnut6uOoWAxU87qA9TFLxFVudEf+mF78bR++zDt+/7Ba88TGH4wEH7oHPX/A7fOOSG/Gnx+yD6rxrXf9Oec4puOx6U8n7H596T7z68z/D4XdZg8tvWsKfHLM38BMzTpXW+Mbr/hEHn27W/bM+/kM85Zi98cf3vKtra/LTGyHFMpQQOO/kt+Nun/80AMNq+HdfvRhff8VDcPlNW/HYf/o+hp0e9tYGCvhvf/JX+Ifjn4d77r0Lzrj4Rnzm+ffFMfvv5iczh2O/7W3AW94CAPjdrct41Ae+i1/83SMBAFfevIjLPmLmQ1lp4A1vwEVPfyGe+tHz8Lgj74zrNg/xp/fdFxdctQHfvORG3G3fPQCYefnJY/4Yz//3d2PPdQb+smFpgge+89v46Zsejn4nw4/favbsXp7htPs/Dj8+/gl48IF74B2n/wrff93x2G3ew9q/+66zsRsRgfzp04FnPQNHnfINl3ckBXDGKx6MvXebA3o9yB9fa/brJz4RLz71bDzk4Dvh6ffdFwDwJ6f+AL+41ryfbz/l4XCn3yMfCSwuAgA+ctZl+O2GZbzzyUcCAJ760XPxvIcejMNh9r9L7nYkPvq/P8MHv30ZTv+rB5n7Anjmv5yHH/92E8osw8tJK773vV27AHC/t30L//qC++KQPe2dOx3gTd80Z9Rhh+Fer/kSvvzSB2L/Pebd9Y84Yk984cfXoswyfJDa3XffoF3ArI3H3OMuePvXfon/fOmD3LOVu+6Gw175BZz3+hPSxYXzHN1vXW6cW3NzOPLVX8Sd1vRw3aYRPvSMo3D8YcyZm2XAW84EAMx1Mxz2yi/gwjc/3OVKkzzjY+fhGQ84AI+FzxeO9YhrNy7j4e87B4futQb33n936N9uBewYP/jFn8DFf/fIpEH240tvBj5/scsfOvEFH8af329f/M1jDq8/G9e0NfDHz34vfvl3j8ThbzoDAPDLt54UXNuzafkCAM45B1DK7e/82hec+gPsy4pi4/TTG63pf/3uFag2FC7f75TnnILXPeIgfO2iG7D/7nP46DlX4EsveQAOuNNC8LtKabzqsX+NR1/w9WZDiMEcP/Oc1+Oav383xkWFd3390vrzsWu3vP1duO+6R+Blxx+IazYO8fYn3SN4zuKqLagu+Q0A4F9Oej7u8r53BmciXQsAJ+21P/ahgXjDG4DXvCbZ1cP+9uvYffc17tk+ecwf4zNH+VpyQV+BMB3l//0/nLTpALzlcUfg/nfbA2/874uwfm0fLz/hIPO9hbRJIfDlwx+KW076Y3zqefd1P3//t36NW5fGuGWxwP0PvbP7/IyDjw3W0T+d+Rt8+DuX49zXH49d5roeVgcEewQA/OjKW/GGL1+EGzaN8bWXPwj73HkXf+2DHoTrrrkZJ773bOw238VH/uzeuMfe5vtfXLsZn/zY+XgQjVm0R9Skw9bsYYfNfm1ijwgkZ+bRHnuYa7dsAe5yl+bf0E+nXmGFe3iEEPjYxz6GZz/72fjCF76A3/zmN1BK4W53uxue+tSn4sEPfnBLS+3S7XZx4IEHAgCOPvpo/OhHP8L73/9+PO1pT8NkMsGmTZuCqNWNN96IvfbaCwCw11574fzzzw/aI9ZAuiYlvV4PvV4iZ2R+3uF5W2WWa1Zz7dwcOmsrDLt9VIM5FGWGYjBXa6NUGlV/EHxeDOZQ9Odxr/f8AOj0g+tVb4DlzgSP+fhP8V8vPhb3sUpF0Z9DWfopkWcC47yLxayHYTfDpD/AuDdAOZjDYj5Bb2DGzDF/9cP7LHf70PPzyAYdbBDL2EMyVkB7rcIEw24f2ZoFYH4ey50+hl3zXWYDVuOsU3vmUbcPzM9BdzLAEl/82f32w81bxxj+z6UYdfso+3PQc6ZN/nuT9C6AbtfdSywsYKnTxbg3wLA7wWLWR56Xnj6514Wam7P39W1NegNM+gNMtGcTLLIOsjULkBOJ5dxcf+w7zsTHnnUM7n7XdSiERMfSGhcyg56fQzmYw2QwwFKnj+66NbipAvZY6CHvdgxjUqlRZjkm/TkMOwNgfgHVYAnLunDzY1SMPFlFlmFr3oNcmDfvtT+HYbcPNTeH4ZIONpgxMuj5eQw3l5j0zfvF/DzEQomlvIdC5j5ilefuey7XFRl+eNMI6HZR2TydLM+B+R7Gvb55Vtb2pD8HlRtDREqBSghszXvI167BYqdn50IPYs0CMKkwycy8rLSGzDOUc/MYd814ifkFbM2HWOr0IRcWMMk6vg6SECgHAyyNBUQnh5g386wYzJn3lhuDsag0Sg2/5ufHGHb6ps990+eMwbG11naNme9GvT6GlVGeJv2BU6TGpTL/b8erHMxh0u/g8iXgjd+6Cg+59wGo+n1HjgIA1dw8ht0xluxaoDVRZRIToQKCgaEdK5JhZwA9Z8Z3VIxtxMpGKObM3NHzZuyGXQkxv2D61Ovb+WvrGg0GEAsVljo9bM16GPeUYYxcmMdyqQBsdX1ezroo7ViM7T407g2gB3PQ8/OBPrUsO24+YG4e414fS3kfRV9h3PMGjVIauuefrejPYdIL552yBcCl0Kg6XXbtMiZ9msParXGq5SYHfSzmBRZzM66T3qB5X+565aEcIrg2GwloQQQcCuh2MekPzDvr9rHU0cD8PKrBGIt5H8LOYSEEiqyDam4OsDlMSucYdvsQC/MmXyTLAatojkWGpayHud3WQc3NYZPoYDe+B0H62i/dLjBv9zFR2fsBWJgH5o3i6CKeeY7FrIdsYSEY52HX5BKWkqkHee4UjWG3D8wL9psBqrzjxrjTyVH0B1jq9KDn/X1H3QGG3ZG7znQ4C8ae1nP8PrQGIKXdQ/w7WOr0gfkF/45d4oustUHnwKQ/QMn2v0KZZ+rvuqYxV6ebSyyOC0AILHX62HUwwHAZ9vnqc0cI4N777or3Pe8B6K2rO2fL/hzKjjk/XXmAuJ1C2rU/sLnBxuAtlcKo14dcsxA3ax59nnIgzZwYdfqoBrPpMqNOH2LBj2f8m96EzSnrgEhdO+nPhZEa7qyIRM3NQ926EePCkBepXh/lYA5b8x6yNWvM+ZU4c5TWKDpdiIX0ONTu0+1h0htgJKvG5yPJ+mZvGHX7KAfmOv4bmS95BtSsA0RzdtjtOzKuCVjR7m5kjDD5yIsehLvuYsaprIweUWQdnHjYnrji5sX299fp2P13zvZ1ADFfHzMpBMosx6gX6jHVYA6TMsN4Mobo2HUvgEqG67McGD2iu24N0I3MB7ZHAICeH2M5H2C5K8w64UZNliFbs4DlTh/dvGPeIe2rayoUWccjTqI9olUS6367XCvs+qxmIzpaFXkFyXHHHYfjjjtuW5qYKkopjMdjHH300eh0OjjzzDPx5Cc/GQBw6aWX4uqrr8axxx4LADj22GPxtre9DTfddBPWr18PAPjmN7+JtWvX4vDDE96aHUB6nEYXaShNWakau40UwPIkTSAiBZx3fcQYseJCd7Qx0FlFLD+1OlbCF6DlbDSmYKtEN5MYTipHv5xiBRQiZBUDWB2ORFycYG+U4BgzyZgCxk00zXWYUY8KQNovqCYSbZ6UjBy3NakU+ozJrrJQlJgV8PrNI5x3xa3GsLIUx5xqlJgVK6WwbtDB1RuWsX5t30UDaVy01s4w5MxEVPyQK9KVJjZDzgpooEVL4xKDTuYMXar/RIQAgIFClpW21K0I3nVKOCU8jQH/DX+/Wnu4BdGuFpV2NZzoHdTrWBmyi27ma2xxKmQH32RzoWMrufP3zhm3aL4opZFlBHm0YGrN6db9pFHafEefcKjHqFDOsDIRK8agZn+7ZWTW301bx1g3yA2DpQjncFx82rNg+TGO56OpAxSz/nnYDNEHC/ZMmfBMY4ZKW7jviAZ5oZdjy8iwAi6NK9cPyfaCPJNu/leuSHadbr3fybA8qZDZ9TmpFPIshLzF9YxiSnXQu5GA0CHTZaX93hQy0XlmOF4odFb4Y8zext8rQdAmpYd30fw1dOsqYiGNKOLduxXueVHB9XViqajX9DuGZCbqF69dxNsx4xRCmzj5yaQyTJokIdNhOsJQRIxjQR0rpe27NOuHv0M+yithBXzjYw7DATZCxWulAZZunTHUtcHviMqdF1KlewJwzLop6WYZJuXY3TPFRstFCHOvk+5+5+T3UjLm2cQzm7ap39rWF/NrNEXh7vtKZ2LYn+0hNNbTYGKeFXB6m66OlXUkEEPvuKjQ6zSz6xIselbJpF+X06+lPThNW97NJKu5mX7Obi5RTqqghl2bPPSQ9e7/C7s3/fiNJ2LdoDMTdNewcfqUhCzBeEiPEi8TpyMgYs5tudc08fdKj48b4zIcH6JZn+Ued1RZUc9XglFdjbz+9a/HOeecg6uuugoXXXQRXv/61+M73/kO/uzP/gzr1q3D85//fLzqVa/CWWedhR//+Md47nOfi2OPPRb3v7+Bcz3iEY/A4Ycfjj//8z/Hz372M5xxxhl44xvfiJe+9KXpiNQOIHF9ktT64nTYJFKI4ADmm4MUvvgcX7Bah4uJ6ko5z0zlqZrLKjxcKqXx8e9dGYTAiT6115FYGleeflnxg9H3KZMyKIpHSmF7HSvzt1MGMzKsTN6KEPVD3EWsmPSsck6fkufeU0unqcbLSqPXyYL6PWbshDMYuNJKfe91ssCQIeWkVBrrBh0UlXaKJzesfB0r6/m2n1MNIa5IK6twSeFrcuTW0DzizWfgo+dc4frcy+t1rOhAUyxvgg69lMQ5AKSn/Ol998F99t/VwkDNZ3FNKXrGXi4DanU+jgBcJCrPJCZUxyqTGNs6QvQcminmjqZZ83v6sQTM5s6dBQBVomcGIK8RpxP07VY4fbeLWFGr9t2QY2PD0oTlCtF9bBTE5e358eDjBdTno2ZGNz0nV3xJySbFKJMhxTY5Q/h9ykpjTd94G/t55vpF+U2lNaI61tilPueZN+pJykq7Gji0p5WVn5d+fOt7Vv1ZjYInENexSiu+SmtUyio8lfLUxDPmzjjIlpX5nvdLxjmWRaVdvScpBIpIeZZsLdCz8P7Svz073rQ2+h1Zo4fn1PFNeXr8b/5OJqVCl0Hb+fM15fIYuGjsLGCGlfQlD/h9+ftrUm55zTySFzzoj3CChdsRlTtJzbBq0UCJhp/ONfc8VP+vJc+pm/scK61ZTu8qVSKqqWSeoal2l3D9NiUnzOfjsmqlO3dnIXuX20tzo37yEhIpoT1nFp3ROHZ8sWo688a2/Abf/7mkzvE2ya1TcZZ8SHpOs64ThhVz5lUN/eAO5lnyKrnQUtl9oYc8k8Ecb+szp1tPFgi2/YxH0zsaZzOGZ8lfFnTGNnxP4zMuVeCwyiJn+Y4oKzKsnvnMZyLLspn+y/OVB8NuuukmPOtZz8IhhxyCE044AT/60Y9wxhln4OEPfzgA4H3vex8e+9jH4slPfjIe/OAHY6+99sKXvvQl9/ssy3DaaachyzIce+yxeOYzn4lnPetZOOWUU1bclzuK0IIipTBZx8p6CblIKbB15Gk9+UIQwisCvIAtV6oBWyCWG1bKGCvGSx3WilEaOOvSm4LDeFIpdDOBbpZhWFSMvMJfQ4ct1bFajuroQKQTOclr6I0AX3QOsIQeIizkx58zXrTd3Cjn9PjjwteQof6laukUNmKlIuWXIi2lUm4Djj2OVG+L+klKLFU0pzpddMhQ3ymKkknvKSevsxRe0fHRC+E8yLyu10XXbjLv1XrD6Te86HKpVBCxSo0nH1fAG7LkRf/7J9wD//XiBwTvnitd7tltNIPXscoEFTi242sNJlO8WLm6RGObT9LNJTRF56IIUFh7TdgInn+P3EFhIlZhrSper8OMJy+m6MeBF5wdl2HEysCweCHosTOUXaSQzWH+L4kQ/r3H+gatYb+Ow0i3j3ZSWxT5tOOgfPSbCksXlXKK1KCbucgoPQ8VCObRhKC4M+tkqcx6AeByLskw44q3UqERk4oW09rh39F7TNWa0nbt0NqLI4LTJCYZGLAiqRT18u/FRJ+zzBYpV6GSKaN90BvN/nkBuKj5xBozLrLOhCtRNGaxcsT/FvCKGxVlJZkpYhX9htYSAFewmzsBSPj7a4osxe89ljh6oXRYgLeN6KOye0IetZE6P2Mxyr1yc5Q7mlYj3MHooIC1a+C+J6MAMGdTr6VArysQPAOJCJdZCGBIDlrfDr8j5+ssujGdKRPrhHJnXqHQ72R2X6nPRb4PzSJShvrMtD4BYSFzLkFds4ai1rxO320dlAAQGKBVVMQ7lthJRbol1wFTXfYIo1kMK+Eo9lKX82LdfM3TeDfVGNsRZEXWz4knnoiDDz74tuoLPv7xj7d+3+/38aEPfQgf+tCHGq/Zb7/98LWvfW17d+33Jl02+ZrYnMijxUUKYKuNWB1257W4+tYlUIUBIbwCRNAVwGysfAEQhMUVtLVFLoWgxeDvZarah5t9UVooINvoecV5gEeszP14gVKCAprCuSXmGKaXlKcYAkh/Fzb8LkWdca4RCsgU4lFZ2XA/JYBTtC38XVGZzf/WJZuXYMdISuG8jGRY0WZWKeUgb6To0uFSKoWFfs89fypixSMc1D8XZZAeIqg1wQyFgxByw4iel+B0pHjSVCJFuVKKwfqaYTy0V8cRK5LMKic0Flz55REr6gd54rMyilgJgU5mCwRbRY6UzUCpizbokinccSRzXKpAcSZlUWnvOeZrTEeHEPdqjko/hzks0F2lvQK+aVh4Y8eOlzuQS51UKigCAtQVybgtKUIWODIUeSHKjDkMSnYg02E3qZT7/4VeHkRfiB0rkz5qSmOdu7nn+1dWGvNzuXuOTJpn6WYyWFux0pRyKjkjUhoY8r989wq88/Rf4YPPOKo5YqVNdLZQ2jmXiniDaJBYAaa50s0ka8uvKRoDmt+y5Xk4jJe+B8y+VCoPk+rlWQjfJieGW/9h30g4dItHMClKQMKfr4lhb1JprOmziJUIGe5yZjQ2KdZN9g85g5okZ3uIaSeOWDX/liKZ9D5IygblObhvZvZC+plzwDRcPw0qx51MpVJpaB8ZVg5pYPdtG8lpko7z+PvPpjEUArOz7P3i7x6JhV676kj7wiyGJ0EBx2WFXee7bmwoMtccsVpZVIMgz7OwQHKYWj9hxHYYrJ0738I2zL9FOTsr4LYIdzqUqp4ewiV+1wa1EJ7/qTk86xwxv283xPic5/sVnX9/MAWCn/3sZ+MZz3jGbdWXnZIQmnylCguDcuGwPBIpjJGyfk0Pp//Vg3CPN5/BvvOQlbACfaiItOVYFRwKaDfCvlUgtYUAFJXCfC93hwAVLOT7Gl94tYiVNIvzxi1jHP6mM/DztzwCay0kiZQcyfpg7kEwKoIt1iFEStU9jf1OhlFZua2E8n3cJizSyl1ReVgf9YsbeaVSGFch7LKotIO80ZgLGzUolXaHFim9leY5Vl555gYybUY8B47aIGOIICyxcUh5cUqHVdCdgp941ylxURF2by4cqqA0nOJABykZqTSOLuohVaCwS0keQ/NMHArYyWRN+eGeOx4R0PCKGD07V5goOkiPwQ8qjfA7vvxGARQwyrGy9yUM/WZrWPGIFd1nbCMDsVJhDGfylqaMjRBSxveNeI2bNcRgnCwaQc9koBrWsOrnMEnp/rlLpWyOlQgMi7htgCK8mbu3ib4p9Dv1HKsYChg/K0UMhYVt/uiqDdYjzXKNmHJJTgmCk9EamTViFUMBAeBx97yLNaz8/KRra3sUH3f2PO/75q/xgW//JvieFJGehS1SxKrfCSNWdL84YhXvb4GRKv1eNKlUo4LTVDqirEIoIHc4KRv9cXOW3Ze/vZSi7CLNLQpVloX5UbWIVYvS7KDFDLIKhHmFTULP5CNW6XEmmaZH0/vX2kBGeZ4bCbVdVT5vDTD7S6thlYf7N9AOkVypTDOqAJ9jNVPESvCIlXe+Eow6y8II4zcvuRHz3Qx3WtNbkcGSSXPmzgL9dU6lUgWQX5JuJl0x6jiSHUupFFJ28/aWnDmCy4YoKEk8G4RgaQYtToFnPWA/3HXXZiISLnTGAmkHBCFPiiqKWDlY8x9IjtVOuf3Fh0uVC63GQgnDXDJr2NCBwZVhgu8AoVcyNkAyGeL5wxwr74UhuA95DilPiiAjXWZYxd5C7smtRayEUUoo4rNhceJ/R5EeUkbdQWe+n7iIVf1QSXmYBt0sMOoAOMgQtZvJ+vhTlCVQ/F2fzGFIkSHuTepawgsiE8jsxlZWGgs9n4OSZWEdK4qUCIQGMn9+UlYBHvWDU1pi45AUpdiwojbHZeU26awhakrjyp8z3ti515Vv4OSRLK3BCZj368grhDfmCDaQS+HmJo9YdTKvsHBII4mLtIAUbd9nrsyby3RgiARQQEUwTn69EQ4FjCNW9FuaL5uHhYMt+v5SxErZyFxsZPh1G89HZZ0fHBLGoXJkxFF/6XvqDxFJAF7J1tqvKyI04ZBKcrjkLCexTLw7+pwMTXpmipLxR+Hvz/SzPu+8UyKMQpOHn+7BryfoKF9Ts9Y+SilQ//T0o3Dg+gUXQXR5cZV2z+WMHbZF83fy5QuvDcaYCzl3Chax4oaVI4pxhAXhPkjC/+TOpiKOWLELmyJ5RUR4wY3nSmsL06V9k4+/30ubIhDxb2LJpQyU7BWRV+gwb5XEMWG2SC7NeVqLWDV0dZrCT+s6doxxoRZoLTkmUCrh0NhXWWtz1rp720toT5mlFhInr+jl0hF7kAGZRzlxL/zXC/CMf/khKr0yKGAmzTiUSuPBB98J//CUI1uu9c6tlNHNc+6UrjsRuRgn7wo6ukrhpCyV0q1kLHUoYD3HKtXl9Wv6rjTDNBEiHQjg0mNONhLvEL3tx+y2kp2G1R1cSIEpK11L0iYpVN3jJqzyRYrAE466Kw7dy9RIkMIrALzooYq82Z0sjCARyw9BkXgUQ2sPW1y0+SOFTYR3EauszhIWK668PzwXBEDQl4oxPAEsaVt4Fi6INCtg7LUHgPlujuVxFYSsZ8mxIkWRohs86kHPTZBMMgQq5SNWzkCUnryCPGTG4CLjxm/igCcooMgc96CSt9CMqY8aEBQwnkKOvEIh8BjTAT0uVNB+G6MX/WsMvHCMpRTYuFzgtV/4WWDcSiEc+yApDEp5IzVjUTZ6hk4E/+OsgJ4BsW4QCXZPpX2fldKBl4+iIBweGzDM6dDg4ApEHLHi3mUhjLeQFCofsfJ062QIktEeQ32FEHjCUaaeU6xIeqiff04yPKjfccSKr5GyShsl3okSeqLJyPNsax427NpmDmL+jqU0BmBByfkRNC4ke0hAAa2HgTyjXqnw0EX+zshYpwjHuDSRt6IhMhNLKmIFwOX7AYyghkesEnOEM11Sf1JwmV6eWZis6XevI4P5FUesfBvNlhU3UidR9Ik7FpoMzqIKlTZaK4BZt5ydjPeCrkntQUBIztIkHO5EEa7ZySuISTaVY9WuxJHzxxuy7YbVNJWQoruOfChhWLmIlZ1H9GwblybYdS5N2Q34+TQL4QGX7Wl6EVpjFnuCIlaU1+yhgKqVFbApt6mtT+S8PPzOa/HUY/ZpvRawjHWJe5BhzFl6a/3TfBxueyOBz5GiUq1jU4tYAa3PshrhDrumJh3LJPs+dhLtiLLTsNpBhA6F9IFUX0TSKiz0+dufeA98/RUPBgDHxAXEEatwgmdSBCx9VJfCRayYAlYq5fo2mniYYR5ErGSw2ICQ2Sd+BvO3/ywwApXxPnoIYKgslhVj24s25UrXk0kH3QzLRUhj3KnlWNWVO47BpqgLPUfXGVZF0H9PK64dLJEw6aWltqbnoLaGhcn58jlWfiPl10nhDRUgzFMjYyNWxgMooPbGuIOklSrwutP7+82NW/HrG7e6dpxypdMwhFwK/PCKW/H5C66pQexGjNWP3pHLsZKh0ZZJgU4UsaL2uefNRTOZ0iTYc9BBQmPA1xEZQGas63OsKdF3rhvmwCxPKswxBi1aw6SIbxkWNfgeQSBM4rQMjB3TBvDih9wN33rVQ+oRK+3z6qhffN+g9eaUXOHnhxkHH8HgB+ydbSFbKYk63CvydIhzhdVHrMI1UzK4J8HkaM3wZ6kSBmCsW9H4k+FYuDmSzjUi54KLrE8qzHVzB+mZJlWDImeiGbSfeoimWVceChjvrTQuHrbpvydPb69j3j/lQvWjiBXR29f3/7CPYY6VfydxjhX1Za6TNRqcRP3u2hYsx0qbKF0VPRvgrxEiDSemPrUpVDzHipqYlbzC51iZsgDXbhri5q3jIK+w8b4RBJE7YJIyRSckum4yrFI5Vs6wslFAmv8/uXojDmwhj6D9LoB4zqCjTosurERWlmNljCQXsRIhFDDOqyNZqRFAugety/Zrzb+Tspm8AoDNQU7nBWp7Bq2GFXA1wvdfzhSakvhV05nAdcDt0WWas03rpONgf/772Fm+I8rMOVZqRq/eTrlthCBjSVbAqr5RkHGR8rAKwWmBWY4VNCTCCU5KIkVBBLzHkxtESvm2yEAprWeTwr1GSQ4PVR56jjcC7u0FPAkEgCDSQ9e63wlTG2cuywJGOX7P+ByjiBX3HPIcK1JQY+XOsJxlrk8cVhJHrHiYvpsb9jvH8Gfb5jlW/PkIFqE1z7HykEwP/QpJLbzi7I0Nn9dmn6FS3tBjkSQHh+BQQDaeD3/fOQCAq95pqsPT0FCdrlhMTo03FHkeEMHnerUcK6sIuYiLNawyiZGdDz3m4ZLCG84+YhUqlTROHApo7heyqpEx6qIzrB0yynhkCADmurnrF2AiUsTyCFgIIszh3s2lNaxCWGsmbVS5NJCrGC8voz5y0dG6oEhYAMFka4qTnQBhvglXFt7w6MPwtPvsg+s3jwK4K3mThfAwQcAo/JmUQZTXwCc9mx6PruZZuE7JccKfuZYrqXkeZZjjx6Grvk0LHbMNj0oDqZoVJtWkQPHcBscOyAz1VN5T7GCK+0qPShFLVHClK7jhTusi3v9bc6yiiFUqsjHXyxsjVmWlHPNc3J7Z29KealIhYqZI9yz2szZYFTdwaL7MGrEiqC8poI/9wHdx97uuw0secrcZIlbmPXjjz5P5pGSaSphnBuI+cRGrxC/sRz7Hytz70hsX8YLjDmhtG/Bj/7Yn3h0nHLrnlB5t34gVreu4hmz6Wh+hoohVqTTGtgYgdxQG/dWzGYwkRKpSTonmAB75EtdYIuk6w0oF+03t2aQn0rqtJWckOsax1QIFjP4Ozzt/dmyLcKd2U1MxURIQsgXuqLIzYrWDiNYh5IKLUbzCVykEFcmtz2gpfN5SYFjpUHnMM+kUXoLF8Xo7dBaQsURtEmSvtIoFJ69IsQKmjCPqJ9+QilrESgQKnut3ELGqw6U4Ix3JXC/D0qQMFjNn+6K2YuWuqHzOiDEuvacoz8wh4aGRfswJekcREWOcGsOMoIBa+w1naCl2TZTLQzIn9JwuYiUA4aNjZGwobfzFcfI3AAePUtqz7gHeKzeKoYANnk3vBdeB4kWSSe+3Wpp4avtcCkc+QVTclIcUzxnyguaZTEasTOTDwx7pPZDw6EAABdSeHhvwa01pnVSSlG6YR1HEatNygbXcsBKwESuNPea7NscqhO9R7hERC6TIAujf+E3EjJfO8LB/0714tIRHBE2UuR6x2mtdHycctqdTcrxB6fPeMilclIOMJaNEm2vpu17HG8I+R9In5wN1KKAQ9YNWw0es+LuYMEWG7wuUn0jzZVSYaOKsrIBtUEBnmLLSChQJ8WvT/4a/A4rkpJQvqstGkSViwyRxDpRo/2/TG/k+FhebpeeY72ZoIvWIoYD0LLzMAu0xKeUslecJ+H26LXjEa1DRdJjZsGLzdPNwgo3LBa7dNExC6WMhY4y6XYderkzoPRYNEUfAv0NyrNC9b9k6xvo1zXU5u9H6/bP77Ye9bMS5TbZjwMo5DmYxKAh5QTXVHDSQ0a83zZeVjL+UApWNMM1SfJb24KYcK8Csy9S+8IR73QWvOPFgm+t++0esUoRmXNI5Vrp2fmyLcIdeU5OOKEnyvd78/6ykQndE2WlY7UAiRLrWRKm0q31DQvk3KUWAvElAmKCsIyWSoIAGeiVZjpVthxlEHNZABBQUSSNFKs9kjVWOK0Qpynje/ThixRP+A+VZClvHyihuKbhUSiFenlSB0cEjVqYv9YiVMZJ8xKqKPEW9XDooICcMoQR6MgCENQDLSmOhn7vnJUV/bCNWZCBxSGboFY+ggMJTXhM0YVyGJB2kBJscsTrlM49YSaYox8Lx3amDK2OJ55PS486lFI7gw0WsbPTPGI1e6aIoVjcTgdEP2PklKDrnlZUYtkTPQVBMGgNeT4OUdfP/9TXkGJTY9YCZR2TwbVyaYPOwwD67zbH7m3EulcLuCz2bY+XZHOkacn6kyCu4UVOP4tQjI1yJp3s5z7ubH34/SMEzOi4qGNPW+3nBowk+v8i3TfODoIBU643+P86xiqN0W0YFPnPeb91nBCcVoAi6+XwURUP52HCSnVGhrGE1e45VylGVSW/sOGIa5XP2+NrxvxG4dtMQV96y5D7j04xGghfv7WYyIIYAfBSonmMb/R39pbWPCnPDhNbnXDdvHJc4ykX7Iq3RPEtHrKjXfD5ycWyiLQohVx7jiBVF3ZvEFReXAlfYcae8wKnkFXYdxnDFxojVFO2Uis+//X9/2Xg9fUYOJh5db6u7Rd/dDkGSRjFn02yWWmhISRcpotxfqqcXS5Ojo+0+ldZBfvi065tzrLzynzLw/r8/PQrPvP9+FjmUbmN7C8+xaioQTBJ/Q45GDq/c1h4HCJ+GxlLIAsCs5WP233Ube/D7k5VX8d0pvzdJQdEAoEqEto3xlA55hzlWIXkF3yByaVj6clL8naIbLgYK+U4iw6qwBwAZHh1ZT2Y39zT/n8qx4spIkFtASkvCKMulsEX5PNabC0V8uMx3c2NYsc51mPLu8rVqESvlIlaUI8VhJb1cYgtBAW3b47LCHv1eAL1zibXKQwF5/aBhUaHnSDK8AUVEEVx5oygCjQWNARkb3kD1B7eLWGkPwRJCuDHgynab8kL9TkEBcxlGSnkkk6I8HAagNIOPMi91Jm3EamgM1iDHyl4bGN2Bd92Pk2bKII+QmWevU6pz0UCgzNOQzPdyN2d+ef0W3HWXQQ0KqGEMmN3mu7jk+i21+UjKeMEM8FTEigwKLh4m6g9HziYa51hJm6foauqwfJPYEIBtq4zo1k073vkCsBwrZhSTY4HTrTunShZC/SbRniYF8O1f3YxfXr8Ff3L03ujb6K0xQsMI5aiokoovrTc+lv1ONhP9MlAvZEnCjR0qpVCpMOJKY+efR+AvP/tTAL7Yagw1BXx0DzCGVcyKRwQBcbfqf4djqbR3hPHxoLU938tqivH5V27Ai//tx9h3t7loPgLQnumyI6XLzQ1yrFxEqrkuUfybWIgMwLRnPqO9pp/LRqcPQDWyzNr63YZlAAZdwVEGTUJ5PtTHTgS3i2WaUtqxUMD/vej6xmtoOlQ6pLCfpjTTeAxamANva1lNHatJWTkoIKFeennWaIjzmkuzSJYJFBOFKlH3MyV0XqWuJWfoTVvHrSQauS0LcrtAASXPsWqvYxWLISAzTtvbImLVJJ2sftYAwKVvPel2Ify4rWRnxGoHEZrwyRwrVT8YMumTymMR8LCcIHoUFQjOM4lRafKOXC4F6oYQD+UDwHJBESuzKTl6ZSlrxgn3kMSY4HixpaCAyTwa8hKJtCFQ6fpGR8oQN954sVmK1MUKQVHqIC8ohpX08szlWFH/lyYVFvo5OAECwd3KSrkD0UA5TTvDSYVenrHcHssKyNjXqJ+C3csoEhRh0YFxA55wnvkcqyBfTZqoZVAguGGzpE8NTXh93knhyVA4nCyzhlUuPcsj9ZGMZw5Vk8LmWFHEKsqxomdKGd1BfpLyymClQrp1aS0rpdOJt+49sL+BEAp409Yx7rpLWPODjJxKKey+0EWlNLaOyijKBFcugQhUYiODnqFeo41qO/n70bMC3hikX/nxNX9TiQR+Hy6ZMHCaOCKUCYKZhqyAHGdP39F+kMvQ+OVra1yGTFpSCiyOjSG9abkInoUMRbp+VKShgOQ44NGWuW6GyUqggIlByaX0uVWVYT00ESs7BmxtunHkRhQ9o6h/xhklXf5JFTqYDBV32KdajlX0ndIIWDVJyJgiNkIu37zkBmxYmjjqd9e28DmcgKmj5PZN9nvqo9nrUJNZWAG5ERtHrPqsnmBKXKmGTOCmLWOsG3QwKirrpJuRvMI2T/thk/I3TSeMIZ3JNpjjq8PecYqsiks3l3j7E++BBx18p/ZO3IZCjt1ZDB/a3ykSKrlh1akTXpFwdMUsYki29Ex1ywCz58QOHhLaxx/7T98LHKC1Nuw+fjsErGyOVd1BNov4NezX32y7YrNwXaGJvCJ3UMB6f3Zk2WlY7SCyy6ATeJq5pBIVhRAoyjR0hbcT5zvxy3MpMJpU6GS+3gzPe+IwHkMJTBErRl6RSQf96WT1ulIpsoRBp+7RBhLkFVwxY4o81RxxMKhoU9a6rjQSfILnx3BWQDJk4vEvlHJ5QRSx4t7cXqcOBRxOKqzpdxwU0EfWQiO5sKxw1K9+h/KyPCST3kkYsQqNalKkNIAsCwuMUuFgqv9ERpsbAykxnFQuZ6rpkDMDa/5pSojnkSme0CuFiYrlmXCGAEU/KUfF06KbedHJPKQxZgWkd5HK3aP/85BBZlgxyJ0Ah/vVH9VQ0+vaITTfzR3D4bCo0O+GXmNjr5nDfZdBF0IAm4ZFMB+lVcaJvSr2qPP1V49YhZEPMjzoOuqzrylk7kVrhM+5ZN6H9IXC4750mMeUvOoZ6yN9F65vuP/n82pSVjW6dzKkN9tIpdZhjhWJiVjReHsjkcoh8GjmXHclEau00p8HdOsmgk2F1TuZ9LmokfEcC//MRWPYOupkZt7ziFVMxd3UvgjmlxkLX6KAG5/aPVPMCkjzatmeCfxeikWsuJEcGossYpWCAkYwu5SEOVbWsMq8YTU1x0oaMpzFcYnd57sYWpTC9Bwreqd+fIDmyNS0+k2dTLrc22++8sHpNiJDnDOYTotGPON++85UyPe2EpqTs+ZYKc3o1oVwOgQVDE7pPUTotZI+0TzNZsixIifkLLDBpsckqOlqDIWV0uVz9sRpcyQeTlrDK40Ctovf+5sju+aLlT7rHV3+bz3N/1H5h6cciTc+5jCnHMRCkSEuUhilP7W2+GYU5juFB4KLVmTMayT8oZ0xparSvtjhhqUCP/7tRke3Tl5Xiqyo6J5xjtU8oxvnfS0CTy0l+VNf/YUEoxJoUj7rBicpCtzo6Fj4BY8Q1KGAPmJFUD6+oXUzmYhYlVjTy41hpcgwChPeAV+QGTBeeKJbpzGT9jmJ2Q0gRdMyybnojCV0sJ8Fihl5mTNpIymhAphnxhiiHL4sMZ4kpDhR/bJYsiw0rOguuTR065QQT9h2+n/OZEiRKIpYCeHhBJxYhfpOfSbh5BUaLGKlozpWwkIBkT5oKNeNDkzq31wvcwbAcFJh0IkcHjDGD+XirOnl2LQ8Cfq921yX5YcZ8gr+Tuh/6RO+J3DGSD8m/t2QUc5hV9yzyOdvShng8FPeFyIUCXOsZNC2yXvkhrAM8uB4vqfxFPP7eoixN6w87FFpBMZhrNBldo8yhqef44NuviJWwJSSFUABLUtoEHElBwd/Hh6xYkau+wzeSCHJM2lzfSJItKgbKvWIFZ8/IoACctiuI96JIogA3PrcuDwJfkOQVLLDuPHHuxFErBLnmDfGal/5/jHj3d/P9GVNP5/JsMqlwNZRiV3nuxgWVa2cQfK+1niOjbkmw2F6xEpgw5IpeL/f7vNT2+CsmRyyfEcVOoNmsSfIcTYuzdrJpMDSxMACydGWho6uLMeK9q6iUrWc9KZ+8fziNmm6hggwVgoFXNvPcb8DdlvRbzLJoYArmyOubqM2fwHbTr/PnejTepJKHdiRZWeO1Q4gvpBdWqlNKbIUYep36hOWL3LurI29FSbCoLBbN3fQFvKA0z0AgnYYD+jafo5P/+AqvOvrv8KRe6+zUEAyPOoRDx4hofbW9HPcsjh2iemur5ECGeRosI4TDNJRScdwKV0/EDuJiBURgHCjJVYISpYrZCJWIayER6xKFrFa6Oc+z0V4g5NviJQUK4VRNAfdLMixonwXcxhRW+a/cclhbd4QCGsxhblYlQ7p1s1YSixPygAL3VQgmD4m0oVYMsGggDzqYSNZLipm3x9gjDHukSfK69xGrIh8wb8zsP/37ZMI6b+jCAb1J4R6EStg2vtMijxdTs8+383dHBoWpk4SFxNdoXo/AuvmOti4PHEKyDde+WDsu9scPvbdKwH4ejf8GeNoEY+q+bnhx4NHrGju06HpoIBkWE1J5JciLPzJo4J5JjxxjdIuglhFh737TRayevKaeTHNMYeRLltvtmc2NIaII0ZJJIvTvCVHBhkuc50sqI/XJk3kFQYKaD3FlUavI7HRwhU5QQc3VANqddbHetvRPiVD8gqCr8ZrstZUtC6UpnUqgn7RXOe1ufzvzL+blouQbt1GwLiTxhUI5oYVaye1h5DB3ubdD/MtrZGTe8OqlbxCe0N3aVJi17kulIZ1Hk4xrKzSSq1PLRA8RZHuZBIblibo5bLRWx/mOPoi9CkW4DuaSOERLtOEEC+EypBCWOi7d8imc6zaYaOp+ziSohmMjlwKLI633bAy5EMzdxMAcO7rT1hRjhTgxxGYXiA4FtIR+Pm/bWZVuAamQWZ3dOhfLHfs1blTAqGI1dW3Lgdey0ll6t1wocKdqY2HT+I4esRPCsqxIgIB2ijpCq4UESvgLnNd54lbHJfIpWQFdFUNtsK937SRzPcsVEiEdazqv2uoY8X6mglR87zExgPgFRiKNph2QtrnJBTQFTWEMz65N6yXZw7yQQrc0rjEQi83LILaFjombxpLOnWwE+mTkX1uD7EChuQV5OHjeTmm7TqdPiXYA0DHFSwOlcdOJgLFownGE49JE3kFja9hBfSfj1mSsBQe9snhZJzOuWsjVlL6vCwhYmXEt0fivmcHCQBX0DWMWBkrtqn4owoMmnTEqh8lkJv7awfvWzfoYONy4fp18J5r0O94Q5nYw1Lnjjfq0o4K85ghVM6RV7A2Qihge/FMUsrjHCsp6oVyyfFB3StsNJbnRfL8Sq7IjyPDipPQkOFK/aAIHH3PC1qTZNKTlfA+DVYEBdRJBABnwSsqiliZPmYZq0+WmJtc+EfO6RJdl2cReYWFr8ZGUI0VMFgDnrwiXqcuUpbVi7KOqzCaz++luZOG9ZE7JWiONZNXTFd4CeZN1wN+LBd60yNWUpj9YnFUYtc5QyqzdVROz7GKoYCUY9Xgi5+mJuaZxMalCdb0O43X8DboTKFxvqNHrDKBmkOoSWjfGJempEgmDaqDSK+aUiCqGSNiJLTPGYj1dNVXimbyCgA48bA9g2tT4s+0lb2v+V7unn9W4etuVkp5EhpjvrdvY8Aq2M+anv6OPYtXLzsNqx1ISIF48LvPwkfPvtx9XiQiBHGeTdAO+/9a9Ih9R0nRxO5FCp6PMMH+60P56wYdZ0BsXi4CKCAprkobxeurP7suWMjU1z7bUPh+FNIMhxErrgxS4j957uPDNlV/KDVO1I7z/ss6FHBio4U0BnE+jKFbp5wzq3AXlYOtcCKKSmk73tI+o78v4JOzyf51zylFYET4SJt/Nm3x03yaKOZlJlZATvrgf8sIIkR9DEhpp38nZd3Qp7aCiBW8sWaYBxkUsKpDqSgqIKWvfZUJ4SjpCR5J4okVuKHhvyPyECAsSOy/p0hU/Vk0QuIVGpL5bu5yv4a2ThIXgVA5muvmWB6XtflIfxOBSvJgdoaV/yh2GkjpoV/UTx4xoLlHbfA6VinxkdHQaDUKq6/7Ziihw4LgpQqZqgLymSwkZYhzG3iXyHClZ6F36evE1RV08npT1IKGzLACzqZBtJFXcFbAfidzkGIesQoUjUQoh3/W1KM886x4gIdcvumxh+M9f3JP93ncTf6nNF4DjEtVqzc36OSu37GxNmZOJ26Q+bVknTTMcAocY8wQSjlnZsnJCSNW5rM7r+vjvU+9J+6yy6DV6eNzrIwjkNg6h5NyJihgUalaHavVBo66mcCG5QnW9JtBQyGs2aIi9OwRl22VbQkimPNMzTQ+eSZdFLqfS4uS8BErIfzciWHPKxkHM++802d6v9phfB971tEOrtfUHHd43tZC+VzA9IhVvEyEYDlW28kqmMmY/D8WqSLZaVjtQMKhaBf8dqP7PGZpMtci8MDH7ZBwo0NH3/E8D2LukaJOXkH5QSZi5T1wW0YFOpmsUUVXSuMHl9+Kl33upxbyY75zkZmur2UkGvpKkR6uCPN+F5Y9LpXYnWITImrx+LM4YhU7RItSuULA5tDzyf+AN6zmuhlKC5csKu1gK2RYZjZqA6AWsaLx63c8JTrBHF2tHNZHQ6ev2KbuoYDcM0s5XnQPY3whiljZfJgWKCD9SZ9utRG5WDJpyFAAONZGwBtJPCrmCmey+cY/6+TSFS4OI1b+fqkintwg4FEwTo8NWEVU15ky/TOHVepdjlXXR6yWJ1UdisuUUCmN02FYVLV7uEhOA2sSv4bXtvNQP/M3EUTQ35RjxQ/WTIJBAes18cLu+7HmfxOhSEgJLYO8RCKzIcllSF7BIzFx/Ri+vn3EiuUXsohJwaKh/hl91JPvo3PdzDH6TZMmxZ+UbvOMJoIdOAZEfR6mbNfgHTd0qcOMOMBDSvfdfQ5PPnpv31Zif3P/j+aI1VufcAQ++4L7BflyJBwy2c3j9hoiVon9m5MRFJXCRotwIKO3TTqsbVKycynwpHvvbfbgFiOZxorn8goBjGYgKCCYlTOsGBNpSmahmR4VqtWw4q+Q7kPv5PaIWK0kfykWKukyi0HRyYRDdVC0fmTLiwAhFJAb7KuBAhITbFtUnoTmaRMkTwjh8qvboIDU39ta+B5aTnnGuB4q7Yla+yhsqmbqaqXpNfX/j5FWkPzffKr/o8IVghAKqGsHZCYEioYDI/AicsNKhwuAFmbHklfwYrl0D8Ao6wQFXMtq9sS0psTGVWntPFRL4zIoNAzAefkN3M3/Pqzf4mEdQKy0GEbEJiY/XquJS8ysaAw0r1incqyInpryzOoRqwxbRgXmujkmpXI5KMQKSHltUojAyw34dxOwXjmF3kfjMhapkbJuVPvoSxiNqpTPSzHJ0XXlkZMLmPbrBYIrp+iYvzcPi6B2E2+LGPMmnG5dmALBOZsHBBXk0ThOCNCR0sLFmFcQ4QFHkSz+GX+XPC/Ek1d4L6mGH2uSpx2zD+67/24m34EZXTQ1B93MRayM4pqOWJEB1M0khkWabAFoT5Ln0TK6p4reHzlCnPGr604FbixPqikRK2bAm399GxmjHef5VFobJbiwJDt094xFczoMCkgKQswKSEKGFa8xRsQx9Aw1KCA3aJlh2e/4fKBp0khewWpLGVbALCBqSDp/EtEp3o0mpYbyR6f1qa1AMJF9pHIh77xugAccuEfAMEbCI1ZxHSsighHCK7D0nXsmF5nze8abvnIxjnrrN83zJ5AEqeePI1Y8Mj0tYmX2E9P3uW6GTiZdrcY2IUPTO7v8PVMyzbCiNdZuWPm2U2UobmvZlntkciVQQL/2iQVweVIFex+HKlPfYtjzNKH80KKaLUcttW5j6bG84NW2sb2E51itlG7doHG84217SJDb3AD6G3R/f7XWbkvZaVjtSCKARWKYK0PvbnxACmGMgtTGH3gR2QEQk1fQ5tPJBKsNJWqGUEheESrUNeiP2yTN58Oi8t55Z1j5w4b3PsglISggjzDQPaUvYsq98eFz1scl9kxJ4Ysi09/U1Ke+fyV+c+NW5/UleuyyiiJWHROxWuiZiNWSNSjne3lgyEjB8orsuzzszmvNs9n79zuZh3Axo1MIBF5xIUIogLSKjI48wpRTBRjlkKCBqagPh+m52hRMqeWypcWwKiqvgHoIqDTkFRwKyLDt9Gw0PlIKdHKBsS0Ey2vKpJTXlGElhKmlw4kVFFsvxJKkdHgovOspR+LEw9e7aCO9G+0ULhnkbcU2ig2uOAW/1zHPHp+BzrDK/bPFQp9ccv0WHPLGrzu6fEMm4NshIxLwyit/Y1l8ICdq4pFQP7lBZT63VOAuchNCdWmuh4W8pa81xn7rFapw3EiGBeXY+HXAIyYpGIzLsYoMEVNPaDbPbCMUkEWsCqWDor58j+I/TbECcmnSy5vo1mOJP+HjJ4V5lgkj3kk+UxTJI+Pd9CNEIWjmuBECyYgVz4miPfmX128BYNY2z7dtkoAV0LbBz6NGYh0WLSOjaNDN0JEGnjxLxKpUKqj/xu8dy7T8FurDml5zjhXg3xutSV6G4raWbTGsyIiZpQkai1waZlEpLXlFx+dY0Wt1Z4AQM80XLpl1ChJMeZbrTb+ax5pyaJsM7Dyx9m8r4ZHiQq2wQLA9I1Lw9tWKaPzDy4MO+v3VWrstZScr4A4kUghstSHz5aJ0n1Mh0fBaKjCbMqz8//ODSCPtJcstFNDnWPn+AEbZIrp1DgU0bZh+vez4Ax27oTkQzX2NYWWvtRsBP+yDiFUEgZFC1Dzopj/CsYqlokxcIeZSG0NJcAbzN89VectXL8GJh+1Zy7GKQ/D0LHPdHEuTEsuTCoNO5uBWSvuojD80Bc57/QlYOwiX54DVaZHCK7k8V4Weuax0MDZKq4RhhSBipbU3WElyFrU0Y8LZ2ISL9HDZPCxw4PqF2vjydotKuc2WoB8cCjipKqa8sN/AHGK5NMQq6zodN38E0vCZUKn0Bx0Zljl7dxTlIgMoBQUMDyHzGc+9cJTjuu4ZJSWUjHtDwlEhNvTdmpB1IyN+lhs3jwCYteSggDQGzrDxUUXjINBBO/QKDflKuIZTkaMaHFiIIC+HlBdufJtobtro4KQEvY6BR/K9i/dh87DA/d9+Jo7Zf1es6efGccAjVmV93yMPdwwfyrM6rXiTNNWx4nTrZeWdS2avZHuUrI8jwCJWWtc+iyUmr2giMoh/z50D0hqZKQi5u0+Cbj0uReHato6QWxYnnolV1dcN3zdUZBzdujSeKXcoY5G0ej5hc8SKPpcMPt7vZBZSPINhRRF9IgtiUbJYTnn8EbjXPru0tkfOg4WWiBUXGm8HMV0hY9xqZFuggORonCliZZ/NsQAKY+z2mIOF5gmH2M4CHeVCe0AxQ90yut7823wNvcemdXR7Rqwy6/wmJ2qbcZ9aJlqTDmj/3sb+8GduevznPGB//Ol99kl/uQPLzojVDiRkLAHAxqXCfZ46IDMZKtdhO/6zOvW5v84r1b6WRJBjxSICVWU8oHGkgtr460ccgn12m3MbIilgXKkkFhyuOPD+0IFKuUCBN5g9Pil4UtAhHj5/ihWQfhePU5hjFSo/N20dGaPWwheUNgQe/F3Q/y/0cpSVgUDO97J6EVdpIjDUj73W9V3kjsbAwJa8J5i/Bw6HkzZa6cfGKvMIIyiUVyQFw/BHhyEp9s7oEfXE9FgB2zwsAkhoanzLKiSvMKyA/mAtSj936XN+qFKkIZOMLlqEygCPqPqx5samUbg6LJ/ER/7qeVQkFO3i33FPNq8JVYtYwbwHZfP8enmGUVHVDH0HwcybD2aijqfIwqioanAqUnTpFdH3/JVJ1ucYysr7wvtRc64IIGM028RKSeNJjJlUBBoIc6xyFjlykUsZPgfJjVtGuGHLCL/bsAwpiPXQ7w+Tqu4pp/dChcVJuEE3TYjaPBZuhBSsxIWPmCIYM/4d4B1GIUNrWq3hCeqAXa8pwyr6fTJi1VAWge4Tjwu/L4/KSQF87LtX4Mkf+YFjcjXkNKGkclUpt+bWxclMZATccRGvTZMHHF7/qxu24H9+dl2Q30X70KCTuVyn6ff1e5AUIgkzJnnWsfvjyL13aW2PIh1tUEAgjDwDJn/Q9Oe2V9RXSvfNRYp6akHjfZihC5hnXZ6U7uzkZw7NSQGCAq/MsCK69Vkift6war6WF6dva+P2ggJSSkZbn1LCc6y2V195M00tZlK4uqX/l2SnYbUDiYCHAN68OA5Y2LoJ4oVJAzMM/2hagWAALiJDhyX9ns5kossGUDOsUvW1AL9BDif1xH36Lo4WcCpRui+1x6lJpQjZ8uKIVVMSeg0+JMjr5ttV2isti6PS1v3xJBlbRkUAh6R+zfVMvZzlSYVBNws2PQcFZIZDSrrMW01GI/3ewxasgRRBAT0jmn8flHNijJP02NDB0WXKbpzbEMNvNi1PklBArgAWVUheUSod3GPM+x9FrKQQyRwHMipJ/MEYGrH0r6ljZRwH42jsiUI6peAKeAYlHpExz+LfUZzvZNqlHCszr7qWvCJ+5c7ZkIVKetwPwCtbo1I1RKTq5BVcMsGhgHVlO56r4b/2cylMjaUox4rDSgwxhnR94/lzBLXKbDv8HjRugK9xBxhyEFoHVN8HsIyCCUNVUUQ2cByIGklDk6TeJ7VNjJWUY0XPx58jMPDZENPeyZdRU4+4E4D6tFIlmyLvk0o3R6wSkTw+THOdkLl12eaOUvQ8NVYPO3Q9dp/vBtDTJWtY3bw4nokVkEfsUk6EeC969X/9DC//3E/ZmSHdHjjoZC5iPDXHip1bQoQOmNUIRara6Nab7s//vq1kj4UuHnvkXVb9+3ifaBPabzwqwrDE8jpWtH95qn3UYOvThNIQUnDn5PXu/Gi+pusQDu2G1e1gVwWoGQBoy5WNhedhu75uKxTwdnjmO6rsNKx2IJHCw8UmpXKwwEkDFLBsgAK2Raz45S5aIaX1GqkwUsIUB+pXLWKViAIBXplIwQXo7/13n0/2tWKKGSnYHIKYZx6GIEQqxyoNrYo/EgIWJ+6fU9uoFGAiM4UlDiEDbuuoDLyQdDjM93KUlTIRq24eJnYKn1cURGCifnGFhL8HnstC/1+pGApolG3+Phz8jf3e5Kf4ew+sAsUjVhzSA9THt4m8Ir53HPXgDHiT0pMo0HOQUyG3EStzLR9HEUYFkgo6M5xg5nw3z2pJ4e5sSXhdpaA8Kcag5DzLYd5WbCQLO4e0vUfPshvGc487NczvUBN6LqKwp4hVjZyCORc8VNC/M2L1BEz0q8Ymxf70OVZ1o6GTSTeORARC74egeiYfKYQh0vNShN0zUNafdZe5Dm7e6g0r887rOVYpKCD1i3/VWREUME16Yxg1fYFwDmni904Z/YDPXeLGcFN+g8l9iiJWM2gwIhpLpX2B4OR9ZJ1unZNZcKUtMG6EZYRTdWbGtz/xHrjgjScG83F5XGFtP8eWYTFzxIqTV8RRwHgvoj2DQwFpnxl0M1PUuqhaoxLmeblhFe63qxFyvq2dEQpI4z2+ncgrLnjjw/HWJ9x91b9POROapBNF/+ic6Cbo1smwMqVKVgZXpPpp5axQQPeOm+fGtFw6h8K4HSKMxJhJkeVZmA9JyBk3C4HMrMKd9P/XCgBPk52G1Q4khGVf08/RzSVuXTQ0tU1QQLPxpNrx/x/TracU027ui9EKwSiWE4cLKdRk6KSY9gA42BvlQpG88sSD8ZKH3g3f/uuH4FF33ysZsaLzPRMGSvXd1z4Md7uTz+nJWF4Kebvi+hdJaFXCy80pY4WAhTGaDty6NDG1YIg1sdLYEsHgKGI1381QVNpFrGJ4GuWFteVL8CKpxlNvfy/DekBShAn8XJnn74oTNjjjxSoOJM6wcmNahwJOWO6FUhpbRmVSYeAHFCev4Ll8QGhk0nsAfERPSuEUnYCYAhE7ZIvyQwZipTS6magbVvYnVWKuGGhlmGPlE/N9RKEt/0VbSFo3T+dYeSigH/fUM9B9ADOmqYRuIQg+6w1irn/y3MGYfAUIlfwYCuiMY2kU1VHJ6lhJEYxPaVkBU7lGBgqoXI0yPgbmOvPvukEHt9h9b3lSupxPDR3UkkqxAtLzBblbMjRU2qSNvMLcVwURq5jgIGUoAumIVZPwmlmAMXZS3vfYMAtyrARYjlWalStVILjJAI0ZWX2OVXqPpVp4Whsynz3X9rF1VDqjv00y6et41SJWok6kQ+/AkVewvbLfkbOzAhIUsAydIKvNQyLnGydqar+/n2Mp59sdTbzzdfq1MXW9Tw3gKAmKRntDuYmEqvE+ZFjNyJiXgpLHEteBi8XnkN4+ZCNlpZxDZCX3JOeUQS0Z2Va6db6k7tizdfvL/z1w4/9hEcJHp9b0DCTmgD3mUVT1Ktveo1ZfXCmmJsBiltkS8Gw90nkZuUKfglqRYbXnmj422QLBXBzDGytkx/etvzrxoORzAOmIFQDss9tcdA//nA6uxozMpgO8HplIQQF1kLN1y+LYk1ekIlYdT15RVArL4wrz3TwYMzJsJlXasOIQOB6x8gZueChR4vCgEyb/Ul4aCeWc8IhVHGWhfJE+a4vGn+7Pk9orrTEqqiSNakz1Tn85I4I9Q8Eos1NMh90ommWui+6XmJ8kUnh62W7uIy15dLinIlZ0CPF5RMsoZ0pAnM9D7WrtCVS6ucQ4QbdOf3PSkFjoJ652SeUx8oHhBF7s2Efc3DgJnsNQj1hxhTpWfvi//Y70dcqUDpRYpTQKZcgrnnTUXbHQC40PgoOaiFXYNvURMPvLL641THIGCijcu6R+psgraByLKMLDiSemSRNUrWNfTmmfMa7NkqpjxduZlN5QmCacFc/0KT2/Y6WId9swXuokhDy4TzQuSiFYK/5Z/P+bd57OsfLXm/k2KhSUBvZc28fSuLR06A0/Yv3y5R3q5BUxFJDGxjuDeI5VbnKsyunkFdQvjoSge65G6IyY781GN+0Nq9unOPC2CnVx1jpWQN2hwnOsYigg5QevxL4kcpOm+p6xtJ0fJA87ZD3+58LrGr9POYluK6G9gRwPrXWsoq2G6wirndOxBLXz7vhTdrvKTsNqBxKKRORSYI81Pdxqcw3SdOvm32QhSjbJ2+pYcTgSGRmc5jsFhyAv0x5rurj0Rp+Q6u5t+0M1UeKIVSz0VTeXbsNwicgNG0DGoivesNLI4P+/TVH1fRVBMUFpYV5kWPQ7BsbVzSmvAIkcK3OjNf0cpTLkFYNuFnnjfcQq9UyUQyMF3BhQNI5+7xVUaXPxFOatN9QoMv5eJEp7WmxHhFBFyoq9njyrmRQo7LujpriiVSlL4JGYeNzILhmOh95XWCA4HAsXxWIRDrq2SdoSh4XwrICdTGJSVcFv6BeVquehOM84m0ecSprnGcXeTndfqxT2cpN7Vzfqzb/dhJHB2zL38fA7iqpwxdoYUr4GD0Uw+TiRs6BI1LHiCr9zMthLeFSwa5ka6dl5jpWZa2bv2nW+i6fdZ9/guXJr4PQ6PgcmiEba63YZdN1nVMeslmNV1fcUcgzEcD6eEzdNGskr7DuqKhOV60V7Xmysx89G0kQVDgB7re27e4XkFfV8MiAVsWL/L1iB4JYcq3hcSqXwmkccgr13HYRtc6PNOnza8qXISUelJ9av6WFpXNby31KSsZpHsYPMOLfi60PDiufl9jsS3Uxg8/L0iBUnYQkMyVVqjAu9HK96+MF4yMGz0U1T9KFocL7d0YTn904Th4aIjBBCewjh3x9RuNPZtZKIFTmQKC961mdoy8e67wG74fuvO36b2the4nKsYlKnGYTnWDmj2FItrVbCiNUdf85uT9kJBdyBRAoPF1s36GDL0Na0qoxyH18LNMOgSDiLktahl4GMokFXmkiF9SjWIlbsXvvvMY83PuYwrF/Tt200QAFLH7Fq81LSguzlPheC1yRJCSlOPLoWGpDpDZk+O3SvNe73ZRXnWPm29rWRsl6eNUes7OGw0MtRKY3FcYn5CAoopH23DcVZiTUnjlh5JZdTOlOOgw4ON1K+OX5dMUVcBoqD7xuN2oAl5NNQ0lW8vk1RKUzKunIJhHORRwIdCUpcx4odRo5C316bIq+Io7NtycekjBMrYK3wpv1H6TS7mY8AmW9pnHgenEpErOioIqWw2wL1M89JeQbN89VTnCuXfBzD9+jQNH+H7Qjho5BlVYcvJqGA8PONPh90MlcAm4go+Lwqk5F1+5xSoiDyioQxyXOswr4LV3S5VCbh3TgowmekqHYRGV2ZNVRGRYUnffj7rnB5SpoUfwcFVAQFjJ4xoWSm3ndTwOq7r30YTnv5cQB8HoXrU4Ox16YO0XwYJxxyJEQmwqXSwF13HeBR97hzrT13jd0/qDRHSoi9b3lcOUN767hMRnhr/crC9RU4AkVLxIo5Pqi/JsfKkMdMoy/nOXocLbBa774QAi8/4SDsMtedfjHg+tfkfNsecrc7zW+3ttz4rCJiRb/pslxFDgWks6iJnKtJCFK40ojVtDyqNkk5VW4rodzy1RjfpvYhOd/CvX21EuZYbVtbO5rsjFjtQCKE9yiv7XewZWQo1yeVQjcLFdlp3nqSoOhuBK2giEc3y0A5RAL1Q4V7mjqZxAse9Ef468//DEDI1sf740g4Gijh/fWw7XjDiicip4TnA9E4cKWlUmlFlT751+fdF+NS4fuX3RIkh5NhQ2O217oBfn3jIuZ7uVUWFLaOwhwrgnoQC9SWUYlBRF5h+tl8aJ7y+Lvjmo3LlkyD51h544JjuaUIaZiF8J5c5w3MZACLoNvGkSKKbLgK8wI1KCaHAo6KsMgrlzoUkOaNZYVi82kcjUUuLculCA+7tkKrcWSVC1GmK2Vw8s6wigwHxUHn9FvwRN/w3jwHJGWkCGtZEYypy6KhXOhJnGFVewIERgtgDKwUzFUKX6KAnp0PFc9hKFWCFZAbuG5MfVv0+aCbOSKNyjJv8fFJFa3kcButLSw28lzz++02HyqiQvgcscoSR3AYKQD89188AOvX9vGVC6+rebk7lir96g3L+MnVm/C7DUMcYh0rsVQqrUg7KGBljMe+3fP4nAAQrfl6+01QQA51jg2eckZoWABDlJ5uPbVO6T4p8oppjrrCGrVNDIqAn2+L4xLzvRwLvRzXbx4mI7ypfvGIcDCmzKkRS1H6/GCK+Bm6dUNeMU0RpfEro+jy7RU8osLLTXDx7SGffM59AyfZtkjGHC7TxEHaI0dYjzmdlNvjTA7j0qSqvYvpfTI6TKXqDp7k9WTgbYNhxev03dZCZR/KGZ+Pi4EHh8Re2xplEttomO3IstOw2oHEUKgbhWXtwDApAWl2J9pwUgchXzA18gp2HeXJUJIwYZpd2yLcNEJChvT9nWHFIlZtIWv6rpdnAY11fL/gHs6g8L+vIgMy5aCkvq23sJvY8yqFgVTRmN1poQcAri5VpYAtw5C4gYzTBRt12rxc1GqXkJHU5Gk66e57AQC++ONrglwB1y/p88cMBCCEjPCDiZMicPIKevYmljFeCJbaoqvGtg5MpbSLWKQgRvW5QJ+bf30SM2rKcSY8hT7AE5t9ezF0qQ3fLoXPMetmwsHx4uhCCtLE86Q41I3uWbG6RKn5T7A8IRi7YXQPmq4dlsAdC33Cc6xSbfG6W/RscY6VYsYZN34eeODuOGa/3YL+U5vUFvWvn2cO4kvziEcMUknjTvFgMNBOAgpI1+0aefgJ7qu0ued8L8dwOAn2lKP23RVbrROqjIwDYtmj/YicVSmpdENdQLbmCqWCGk98zKZBAWcB3RBk0vWpwfteq2MV9YfIK5qS77MU3bpK77n8I3rvce5sfL1SGsOixFw3w3zPKMqzsAKafYbqGUZjKuoMpSTjsmL5vQTl5nWsZiMziPfH2yvfSUp/RszS19XIvrvPTb9oRvH7xOy/iZ3BLpov/f5aKk8OU6wUCmgdCiuNWMVooJXI7Z5jZQl0pkEP4/4I4UuybK/o2u3kc7hDyk7DagcSKeCggGv7HWy2hlXqgGzz1tOakiIBkWMLbq6bsc9hKXQ51axtZ0aoi/mN+Zw8Y7yeUdMzAwYuEEesmjYrblC45PmIpGNaJA8wzxVDAQlSJQRwpzXGsDJQQPNuhkUV5FgRjI+Mqc3DAnuu7UXPaMZ0UqrWYnmU48V/Fz8nQV14cWgTwQqhbp3MKNPk9aVnjwuOxmoKp0qm78ZlhV4usTypXN5EL6GwxZu9N/6l6xPA8qkixZonblMklL/HQ6NIQzt5hafo7mTSRMhYW6SYq3rAyh1CGnUGPkqQBprJDsgzKNAO9QO8tzQ11eknpGh6kpPwvflD08NIg7wp1mdDRezf3b+/4P7R8yHoD49gDbomX6yslPOa8nEsErkNcRFoHrFK1c/afSE0rHIpMBFwEF0TsaorTvR3rIwRSQNF0KmuUkqUaoaqdWyuVlH6iFV879RPKU8TmJW8IoQCNuV9xS3FURaXY9Xg2e7IeoFg1aCQckcdnRFNBh9AuVAmF7OXS5NnWCoTEZwlYsUcF8GZI0XNoKS/R4V3ylDEqpfLJAlOk2SCWGL9nnB7QLzoPlLsODlWK4ECksTrnsOkORSQHBcrhwIykqIV5FhtCxTw9s6xKtVsrIcphx8xdW6vOS2D83S7NLnDyE7DagcSAeEOwzX9HDfZei5US4lLK9U027hq5BXsOtpQyIuhNEVXbDt0j8S9dltIY8fpEvJsxzkPsZB3ivKGALDIWfp3XNmj+3HsPeNNCKRW/0fAPTO1q7VhBcyEwFOOvit+t2EZgPl709DQQPOijxSpWuiZzzYPC8xFxhMlVE9KhXWD5rHgOVaxMeUIIKQA1ZHh+S/8d4Bn94pJBsrI0H3Z8Qdir3X9qA/m/zkLW9caVlQoNKWwpSIpNHam7x7eN4m8bpkMmQIpj4UO3J/87cNrDFttcFjjVFDBWARkCfZflcgV8YdQfc5w1rIU3ToZNRQF7uZpw4lmK3lLm6irhfARK4Jk1uexr9mVupcUnryirHSrhzZ22Lh/pXBrdVSqoEC1IcfQSfZS6ir37PLolb+v+TcdsYIlr/DRoqZIuWnXf04kDaSs0/xNiTFi0t8RqUTByCtc3l1CyaR3ttDLMSrMvtHCXeEkkxF5RZMSFbUVMnRRxKq5uDDPFfR9nl5wnshvKq1d5LHWtgjnQy83jo0mUqHgtyySFnvX+T5Hwp0/9Kz0GY8Yz6L4knPx9xKxYs632+ue2yLcqTer9KLoPHee8TpWlGNVVnXH1rQ+0R45CxU57T/bZFhFZ9xtKZR/OCyqWp5nLPfaZ5fgb4pia/g9+d1/ciQuvWHrqvvDH/kPjbxip2G1Awl5rOa7GfqdDCObz1CUdXYnGSksqe+6Ns+GxOST1K+nKEhRqaBWUBwR4Bv+Sx92IE48bM9aW8IaBLTBTcp2DwnfbB3EqgGSQuIiVjJkJSNpggLEH8WKuRCs4rsUOHD9Gnzoz+7triVvN4/WkLK/23wHQgAblycuEsjvY97t9OTtiinHLuIjRBA9pLao/1z5dt7ATGI4Ue5ZfJ2fEO504Po1eP2jDgv66orNMoWeIg3DSYVOJpLPkcw3AocC+kNoEkWQPAwmPHRJx4xzb6iv/D7hvb2hTuQVvH/0m1TNM4KmpIwu8hoCabp1AXgYoUQjFJCk0xKxovbIKKCoSxZ57ilCQWuADlHfZ290TRJ1rOLn4/3lc5AUnuGkCtk0Batj1UTvzXLNYocN4Ndv/J6J/aqyz5eKZPJ+xu1y+AwALNo1/IPLbsE5v7kFr3vUob4PLTlAlPszLlXNwKfh5D8lA4DnoMbRlpTE5BWlShR0xizkFSZaHbO2BveJ6dZ1u6OOhNjXmnYyIsApLHlGryMxLqqZWAFzKVAw8orYyIlZAWlIeUT6pLvvhdMvut60l6iH1yQuYoWQZfD2EOMk9KkAd3SJna+ziNufoogV5V8CPseK/n8lgDMpPVJmljGk9bhN5BUrmF/bKhTN3joqazoGl++/7njsGpEA+TPCn2mPPfIueOyRq+/PH3LE6g84vWzHEyoQnGcSPWZYjasU3Xrd6xt/182zIJKjUVfgTjpiLzzl6L0dbJA8Z0DdoOILaaGX4+j9dk0+h/EceShg26Kjvs53fY6VicY0/4iTNsQJ/oBRkFLKY1NEhT4mGFwqyTqXxlCJjYo7rxvgiLusxV12GaCXS2xaLmpFIYUQPkrT9lxCBHk0cb6L6YfwjG3sPcUU9d08cxTVlBgNGGaz1rEVYZ0mwBxWUpr6MMuTshFeFCfy1sgrGCFFjW49Ivcg47WNopp+nY5Y+bHsZtJQdAeGlZ03CSigi1wm8Oi5lM4BkMpJEYIVCBbCRYeahpzGpOlg5l56grlIEUMBwyLZqZwxR2c8RXGjbnCDitroZMa4HhWVdV54mGOlTI2npigGZ4T0BrfvB0VpdrWGVYcpLEJ447LXEAFMwTzNfY1BREbpsjWsPnjWZTj17MuDNmKyBC5kiIzLyhmY7t6J/dEbVn48Zo9YMcNqhXAowBv3BvbZbOjWWAEboK3xR+S0aFKq6SyZWAh7L88wLtVsrICS51jVqc/j/UBHexQA3Gf/3fCD158AwEfWZzGQTH1AFThlbq9CvcQCW+wgESt+Bs8qe1iUC61VWhtCINifKBpjzojZ+xRGrKb3i6b/tpBXeHjjba9q59a5+8J/vQBXWyRNSu66yyCpg5CzcLvlWLFm7vgzdvvKzojVDiRCeNa2voVPaIuVj72WKa+va8f+281EFLGqh2xP/fOjTTuSyCsYzXd0j1k3fOM5mg0KCACfef59cflNizj71zfbfrZ7Nn2Ole8T9wbHeUQk8SEQF/Y0kKM0KUEmDbtUvAkPuhn+9+UPAmC80xsSESt+r7bEZG7UCMENJ++Z5Qx/PNcsNqw69t1T3oSDlU1JCCalCPAHz9hGe4xhVTXXxrH37ncyLI5L108XsWLvzbTp26ECyhx6BjQnq5sxIgOu/Tm6ucSmYUPEys75uF2lDZFJPA8z6fuUyknhxBccilRTQJy3tF1BkcIrwBR1EZGCKUQYsYqb4lCbMuGkia8N/nXRYXPfuU6GZRux4qQ2SiMZsaI+dZlRTVek9pNdLOPmfrvP47KbFl00nQyjGE4U9zv+LpfSsfkBBsYIpKnPm8grAGOIjMsKReWjQG5NJvZHWsfdwLDyN33uA/fHNRuHtfvwXFPA7GUpJbEt+kX7SExUEjwPi7ySVCp9fXxm0D7ZtI1Q1NvA2oWDAs7ECpjxHKuY7bAOBSRmQyLYiWWa4yLuN0EdF2Ys7Ls9haL2O0KOFYfjzyLffOWDceddTH20mKAoyLGyqRBCrDzHKs+ES0GYxdChe3a2gbzCrf3bKcfq+s0jAJ6dd1Yxzjjdum5XKn9o8D8uOw2rHUgIY93JhIMCVsoshlqOVUQsEbcD+FpGJLEHkAt5nUOFPlSuZt3kMiGCHKsmRZzkQQfdCdduHLIcq3aPE/cQ02Ux5DH1+/gTb0DSv8L1ueYRt576JpYtwOQFbR4WScNqFlpWbgxwAzeI7AhRex+xEUH3oer1fLziAqqxcCigi1gVxuDJpMDSpKxR7PPf0jgsjlPkFV7JiXMJsiydX9AWsYqjK+F3hg3O3LfeNv1fXCuHvnNV6muGlQwiqyn2JU7V3kROQU/VRkJDnfF06z5ixamyOelKqq0AatOgqPO2gDq8jZ5zvpdjcVzW6qiRIh0bbdoZGN4Ii3PvAK+Y9HKJH/3Nifjc+Vfjvd/8tWW09M/eVBeM/1mDAioPBaQcq9ReppRGtyF3IZfSwQhj4pYUuU+c82jGwn//5scdkbxPJv28BSjCWO9TW/SLDO02I5oMTi5NEavUXmju0+wMqJR2uZkmYlUl677FksmwniHXj2mecaH3OiqrZN/5fjhNHMRRAE846q6tREO3hfgi8nd8oFF8Zk6Tg/b0xENxxCqTAlXp97hOJm05gOlO2bBP3gGzkgLB2wIFTO1lt5Vwp8e0HKtYpLTMsVgZfLO1TdbM7RXZvaPITsNqBxIpfA6EMayU2yhi46RtQdPCifH65nfN96airimoDm93mpgcK6PATCqNfme2TY6TArQdwA6iKHwkJsixaojKxOeVV4hIUfC/T0Ws2mBwgM+niMPw/B5txikZt+7QYgoMPV6q5hBnges6eIVnBeSRommHFYci0fsYl5UlHZAYtkSs4vwoBwV089GP96SqHFU9XRPDA4E6xToX9/wJzxlF5wAzJnHdLAcFVDrhkRcuchk3zckrUjkpAgQFtPC5BkOARyDN903P6I0oDwUMYVySGXOptkIo4AojVtE+M9fLHLU5J6GgCEms0NBzUh0+7gzhXl56B3kmcac1PUbFbKCvHgpo2qkbtMIq3ubdf+kvHoB+ngVFNQE4eHVqf2mDquWZwNLY/DbOW4oj3wCrR7dCna2TSTP37B5YNcD5dEuWFeU4tdFOZykoYAMDYQpaCjTDfzJ7f0de0ZEYF6qRzp0Lj6TFUFzu9CGh9zou0uPk83hmIzMgiOOafgdPuvfeU3+zPYX251mMgt+3xE7X1fy22wAF7GTSOMam5Gc3tUsIjWnSWQFMdNZ735ZCUbheLnHOax62ot8K1GszbqsEhDnbp8kdRnYaVjuQCCEck1O/IzEqKxRlOsGSw8Tq7Zh/Y1ZAqq2TEgcFhKgpUySzJtVy8oqibK9jFd+f+tm2UbkcHuY145GNqiFi1aggREpkKhKRS4Fh0R59Iy9SEgoYweFS4o3bulJLP+t3snpEUXhlJCjSq3WgLHrDrWVsrTFO48kZ9YxxOR0KSMn9sYGes4hVbEQR3Xo8PE0FQU175uIUjbUQnk6ayCuyxEFglLfwt9xQSUV/TBRZp8dSCFus1yTB+4hVZHAgjGg056uwHKtK1T6jv02Olf871WdghhwrF6kKDT6aQ/Pd3JWB4IW6lTLrZtANk6Yd3CZgAqzvLwtR7TeeGyMEalDARqiv3Tvuve+uAIAbt4ygtWcppTpsNASa7Yltin9uo7W8byRtOVYr9Q5TW4VS6Mls5po8XOjyVAFrko6sO91SLJe8PRK+76bvL4IIJmcFnPYsmfQGX0wNHc97gEEBG3KTVhqxKlcYJdmeQuQVO0KOVbw/rERiB1wmQihgJxMuYrWSsfD5TrP9hl7z9oi23B7wTXq+fXabc7U4ZxWXY9WiA65UwojVdmlyh5GdhtUOJOS5yTNh4BMsYhUbVm1QQG5Y8botCQc8+42n8HaKe6SAzbp5ENQLmF7Hiv8miFi1rNQ40sQ3ZvP7NEFDrID76vH0r1VqEhEvKQ0j3mwRqwQUcIaIFSkOXnGB+w2H08XKrhQeMucOC5gcKZ7XQB7Rtj5QfRuCAZJSJIVXLpvGgPo4sJGomF2S5+QUZajEpWpbAe21f2hNpPKwyEgFLHlFqYL5TO8jCQV0h1AzDErpdPFWAVjq8zDHKl54ccSqaboL+OegNWXth6C/leJ1rOpjQd8Vqp0VMI5G1CJW3QxbRmXQd4oklJVGp+H9+ULInCzGX/eko+6KfXYduL95xEoKT0HeRF6R6jPv47I1ioZFCAUcFcoXSp9CXrE0NnOfrnHGcSLqyCG9KxEi/3CGsKpT2APpHDESev5JS3QyJsmgeyb33YShnvg4uL+DAmYMCqjqay2WsI5VBPGUdVZAOh8NeUW9vaacvJRksp53dnsKOYN2jBwr+nflfaXnC3OszHdkjEspMK5Usl5ik6wU2jcDSefs974doozkEFsNRJXOgDYdcKUSl3j4Q5I7Plh3pzihTSrPJPodiXFZNWKG3bUtkZlOVo9YTfeMM6hOHLGaEdcihY9YtbFHxW1zGuu2vdHTrZu/OZQAaM7RihWJOuzJX5eOWJWtEau2jc+/2zaDkWp4xf0SuNc+6+ptJSJWfKwdw2F0Xdu5nVv2M04XTUQTmTUue015KPT8XYJ9mc997pX9XIpaYjJFseK50hax4gZe3ZjwynjHsgLy+UvX8/H2v23LsTJ/l0olDSue7yRFc05QHF1qX5dUusDTrb/gQX+EEw5db/4WZs1Qm7Xnkd7xkILrpZ4vjkrwHKstLmLFDHutbW2yOMfKtpuIvvL3Md/L8dBD1ru/HYRLhLW8XJ5eq+PF/z8ZKsMoYkVjRNBAYDp5xeKoTCp6HgroP3OGVWMv00IKGkViUnsR0K4UUj+KFvr7ThbWywKaCwTXI7rtczaTjBWQk1fMELHKgzpWIaV7jEwAPBQwjkiTdFdgWAkBVyD49yGZnO74uqPINAhzm1CdRzonuWOQcgpzKQxD4gpeBu1HsyJrDokKzq9GKIf09jCG6R6rIVahcyl1pu2UlcvOiNUOJDTdDRTQ5FgVJbHkhIuhrfI5fdbLZZB71MrkJMhj6dtuqks0TXLJcqzKlUesptU7qUHlpAies2oodHmnNT38ihXEiw0qeu5C1RV8MiraDCvqwyAJBaS+Nv/eQfUi4gApTL2pq975mOBzrtDFBkivY2qYxYaVeR/NY9uxuRekiBuliNOtN0ft5jphxI7uEhtWqeiUJG/tCqKkDuLYkGNFyilBAVNKcSpiRU4Greu1eqg/ldJJRdFEkzxVO6/1xIXeFg1l03wnZQ8Ic6xe8tC7Abib+W1mSGqa8PMmKR8u565tDlM3aoafbXium3nDiuXMVUonYYaxYSYELxfQ2A0WaeDzNszrapIUKQZFqoZFWCB4WFTY1f6/aiF2yaXE4qR0xYGDZ7S/4cYOJxpZifD5BRC8cmWKFI05sXmmJBWdaa7/5z8jaOa0+3s2WxkUK58lx6oJEi4T+1zJoICpOUF71SxRDHMG/Z6hgGV7RPmOIr5UycrHao2F/VKOLXf8jApTziCTcsXkFZTHOev4veQhd8Ozjt1vJV1vlCZCp+0p9FzziRzuaUJrss25vlNml52G1Q4kXAkhhbYpmZU+avMwxhGrNsOKPBpC1PMqSGaFSUgpMBlTxGq2HCuetDyNvCKX4aZOmH6SSqXH5f1/ehSu3+wpjt01iYhVvDdTflFbGJ48wHMp5aslwsivKZVCPwsT9FOJ+kAIieQwsHvuvQ6POHwvfP+yW2vsbSmjkUsuJYogYiUtlfF045LgXnMRFDCGfmSJiFWe1YsGA8Dhd1mHaSKEh+CRcIIHQ5WtsGsiYmWgEWkHQgqPTmNOeWi1Olagds0cajJC45pTTboAGdt0T/Ob8BpaO03eSJfzQuPRViDY/j5e6fT5fDfHllEix0qbtR4/LxlCzhnAFPO2fYHayaR0CnVmjXven5TEhgDgI1MUsSIjNY5YNZJXSFNDhhvncTQujhbHn80i1F/aS1ZLtw6gVUlPERs1k1eYf1/04D/CSXffyxv4DdNISkPvX1XGiKf9YlRUrfs6EBp88XxOkVdMLNR83BDdoPc1C6QsE6Y48e8rYESG1Q4RsZoStWwTWttzPU9oQ3DupUmJPRZ6yO0ZsRJyjC5zxswiUhqSkm0Rnjd8WwvdY2EVUEAh6gWCd8rq5Y7v+tgpTjxExuRYFZXGuFRJiu82CnRXIDg2rNDsreBGSpMR0AbL4kKKM4AkIUHyN5mHPE2DjMQ5DbEnsylitdt8F0cwRZ1HhMy/5C2uH9KZNHTrbTlWpHCk6JHpHu05VlRrLOxPfLi4tphSzqGAX/nL4/Cou+8FICwwKqUhOWglBslM5MgVT8wlxpUZj04mLd16egwO2H0eeyx0XdX3eFwDKGDkTTeJ2+FBev4bTsD/96f3auwrAPzFQ++GEw5bX/ucoihEulFEbft3nY5YaZdjFX7pIgqVtvXSmn6rgxyreOnEEaFm6mpDkQ742nCpemyUY5U0rCw0ixdMbhL6PSnuPo/IfD/Xy7BlWLq+AV7hLRJkCa4oNDmNxPSIBxApScKztfG6WrHQEPP3TPdfnpQYdDIXsaKIOo9gteV2EitgCgabYkjjRudKxENNCRqVpt9u24npjqbYfPr+JseqXiA4WRfRfnbcQXvgqH13bY0UAz5C6lgB7btcGldTIVM561fs2OCRDQAuKjbXzTEqquS+RpGEaSU/qP0UNPj2EiEwtYj8HUX42btS2We3Oeyz2wC7zdmCwdKXg1gaV5jr5mbPLldm5NI7vj3T5GaFHW7Pe82tEgqoYfaNnYbVtstOw2pHEhaxok1i6yhNFtAGBaSP6qyAzbfmOfbO4Ih2tTYigaAtwcgrpkDPSAKa3Sm0vDy3CAhx+cB0w4z3k7cTkFdEvzc5Vu1QQFJ8k/eSaWOVS1POV/yT2ODibFnOKLPfcU9uk6HGpWMLdAbkFYUxSihq1wR72HW+iwve+HCvCEYwME48ENdrMYQnoWK3fm1/qnfutScdivVr6gxJUlhokxBuPgYFgu2/VQI+R949nSCvcAaZNhGrWkRAhPlZHXfYh2uHDJZpuQo8x6qJCIZgtHGyP/+eWNqA9oKYTblg9F4WeoYV0EDCyCg0MLoikWMVz2khZoMP8dw0KeCS+uO1n36G+v8PJwprB7mLWI0TEau2wuSdzNSxSs19b2h4ufd+u7Q+X5MIIQICh1LVCUGA2cgrUnXFSDpZukBwKgmfhsQbiwj+jcUoyr6OFb3LYVElnU7xb0O6dfadEJEDzayzQTdrhDjTvWcxrKjkw+9L8Uyxpd5RZVqeXZusG3Tw3dcez9hq/f64PCkx38uSqIZpQu+4LZrbJu9+ypH4hycfuaLf3B71q9y97Fj0VwE7JOfazhyr7SM7DasdSLiHn5TQxXGZPBzbIiC0cLq5DBjTYvra1G9EQ8Rq3aCD++6/22zPIQ00qJvJqdAzEn5otkFygLoyStSsJE20wal+8naom2UyYiWxPKlasfprB81GwCxFlumbGCpVg5u5d++vI0VMRr8pKl0br7ahyaV5ZyF5ReWU2ml5ZrxfdB/KuXJQQEGHJvuNqEeVViKpHESCdJKyxtum65VK17FSRJkedYfmlXI5VlE/ABexksJHh+LD3kWsphgKQoQ5VqnrvGGVXt+ZMEn/TQyjwbOzORXfAzAwzy2jopYfVxErYKSYx7W1MtkU5wilyyA20r1Lz47Zto6y6D13MhNtXtvv+IhVQYbV/9/eu4fbUZZ3/985rMM+JiQkO4QkECARAkiAhBgDFJESEKxUCmIVgWL7/moAAeUCqwh4AA9t9VJOxVqoKK/2RFEs/ohoaa2iCNKfSAto5YUL3nBQSLL3zl7n3x8z98ysWXNcM2vNrL2+n+vKtbLXmjXzzKxnnnnu577v790+boSFAjoLc1p5cg7PsXDNWw/F49dt9VSsDEPXjCLBn7rvv/FPjz7v2aagOlaK2Y6gialTLAiwxQOC6iJKkeew/BpFaRevKDq8hmHjsjN83R225M6llRzKkYLmG0IXx7CyPFahW/YGK8dqAOpYOY2ixPtyPPvFY9VNgeCiT3RAVM7asBJnb1wZ6ztvP2oFzuxTvTMR4vETjwpCgS38QsMqOcyxGiCsIpmq4gif8Fai01wTaCfyfCnqapuKkt+KNoC21WfLY+XY+D+uOhEjHrlDXsjDs6ir2FNrRBp8nfK/YeIVzkR4oDNfIEyuXXCHYTk9Vu6HtKYaq9tBsfpXnnIw/vO51wKPFTSxcE9Y/DxMboNLdaz4ub2NzglHlCrxuumxchYcrpgTek1VML2nFhhK5jy29OfF40bIh6UCpUqYnur4jqmI1eWg7/6W08vh5S2U//mJVzjD+Zw4Q7W8FC+NkIuWlbslhoY7jNY9Kfc7a2eOlZ/hachQt8yFE599mKF6QDSvqbudVh2rkoade2ptxpmE8tQanTk9mw9cjLt/9rzd99RoxTvbVAFh15YrauF9uDN8U8VstY7JkQKe/e0sAEcoYNUZCmjnrrrRNRW/nakGCtM4j1vQVM88pijoqmFc3PrgrwB0FiQGInqs6v7FZt2hgEEFjaW7uBUZ/X4CTfpb3fCYKYphXM1WvMP1Otrlk2PlnIADttT6SEHzFa+Q8TpszDKOHV3FthcoivHsGR8A8QrnInBSNMUOBZyt1jFW1Kxw8Tj7l74eNbImDQ5aOo6/OPuIvhxLvMldeawUuywJ7ark5P8OJRbWYKUq0M16Rbsrdc+Ho1tty+uzoubyWMF/ILRDAR0eK8dxx0t6ZLd8m8cs4oPKKExr5liFiFe4JzKSFyT4JXx3ttP7te5Rx0pEHYJWPo9bswQXnbjGu83W7xWU39L+6mc826v/driUTEbchRudk3HbM+d/bQqainrD9liJYWUIB6iBBYLd5yqHGS3quPfiY3Ho8sm2z9vqWKUcBiPXRFUVT2+htM1YbOi8vk2Hsp8Tw6Nr9FGvUEAjrMX2WFmesY4cK28his7zsCe9fqGAEkbr1V4572bLyNcpaMGGTcf1b7V7MkaLhty6+1o2TEPTnQ969oaV+J/r39I2EYvyC0sfKxVUqIpRPFpTFCuULOgcvPLiZqsNTJR1zLlCAfe4QwF9fpCCpviGAgb1WafxEnVC4x7Pyh4r1EFTR2mOu8SAk4JmKMbKwptMRr22txeF2vPG/E5HUxUrNNTpMZqpej/LnDhVAVuuhQ257wS5RuWiZoY8d+7P6kcRQwEbGcqtS57pYORYtT9TkqA4ftcZUyDK9ljF2Y851vYzyaqPBBVHD8O5QEfDKjn0WA0Q1gTQ7PklXcP0nLfHSm6OoIe6O8cKHvLR1rGtiX9nOFlcpE2yShhlHCho7aGAQQuMXqGAzhpVQYU+vffT/lr3EL+Qv8MmBn7IfCWKfLgzH8V5bEGmpnbIndJRfFO+4yw4GWSMC7pqKGOJ9L6uKqjUGpgs62i10KGM5rcP43j2e4fta4uGeBk6xqSihZFid9e3w+ukBivJ2QZP5z0hBYJb8O67EnrXaHmLV6DVabB1hAJa7VTa/nbjVDes+KzgGh7Apq/ik4QCBuXcCO7vW5418ViZBYIXjthqWlKgu9ZoeuYDSX6ecT7RVpRtNTfNDIdsoqjrVvu97kO5xu7+rZuhgFOTZcuQmqs1MVHSO8UrfO4NTZUcK8f1M08j6JpederB+Okzr2KirGP5whHf7draq7Z7ZrwiBaJ4rNx5hU6cntei43hBY74dCth+nI7jm4Z8rdGyngEl3ViUWTIRfH8bHisRr3DlWKlG7tZstY6//vdf4w+ONkKwRgqqb9ijffzwVX5VVSKHrvcCCYceiBwruZ9TaKtT7XG2YudYeUWORGF+mlV2H+4mh8y5QMdQwOTQsBpALMNEVzFdqXk+uL2UqAR5r6hFDwV0hsVJDG+3A7zqaL9z30HIQAqgI0ysY1tXiJyEzgjRPVbehoyXeIXmOqe4WN6noALB5kduOXX37+D0bMrfDY9imoCZZ+E6z6C5tXisZPVeakCpigJdQ6iAh7Ndvqphqrzan+uqyK0H7joylvGpKLaHzLVzWSl1dxVFCZamFW+Yl8KiYVd11pRyL6LKQoAlb+7zrFQc2/rlHBgTcUP0xcuTo5j9o1pvhRpW7om1WzZ8tKR3FEaWnLSaWdzTC6dRH0VdVGrSlHQjlKxm3tNiUAWJILh/T10zQpIXjBRQbxqiCpV6A5MjBVSiileoCmYrDc+wPAD43DuOwCmmEqeT49YswXFrlgSeqxvxjgt+x/RDTsGrYLPgDlENDgWURaX254L/s8Tsbw5DvmgaVmE1hnRVtUPCXTmDIuP+2HOv4S+3P4UTD15q9gkVlVrD896QsWrBaListlsco98oSrAxnCeiRD9E35edOzdTtXOsKvVopVo6mK+WFYAb//DItkLqUZHwdsDf00yiQ8NqgHB7FEq6iuk5P/GKzlV4+zPjtai3x/i34C8l6zQunPWGukF3GSFRBkeZ0AMi++u/reU9Mh/S7tCZoJAeJ26DSlEUa3XcfXzbC9ddIUDbCPRvl+JqjzN8yqvdToOp4QpflONUHbkHfsIETozfoWWFcGrmA05XFTRkFTpmKKDf596hgOlEL1vXUFU6PIHWNhC59c7r22r5i72IEeg8FyfNlpkf4jg/t5dGcnzCFh0URXGEAvoYeg6PlVe/d+ZAhRlW0h5Lbr1l7wMwPFZAu5dGVRU0m8Z945d47/RyRMk7kj5WMEOi66ZRaXmsItxHgih6SmHSPbUGKvUmFo4WOkIBfcUrNAXTVe/oAQD4/SPTS2AX49Pw7vnlB/lfwzaPVUCOFWDUtRuBZi3AeRk+cjnd0vm+YeWmh7Ra7zSswsZlXZNFi87FCZFxl3vulekKCpoKXVWwu97EmIcM9eH7LsCnzzwck+XwqZBqRj5ktaKvDpDHKijHOy5OL/ZstY5RM8eq5hI4iry/Abh+3XL665d39T13riJJBnOsBggZD5zekd0+oVdBoYDO3CPnhK7Z9F+tcE7inZOabpDBNk4ooISgAeGGkUwWLFECV5J4PWIIgZehIRO/jnAiMeYCpKoDjxUyGWnfpv1v91fcv72qmh4r5yREJk5eoYABbRBFMvkNjOK6RmFPt8Hsex7WiraPEe8XCljv7kEKdHrHnOcq7XYbtYppQLmbqSqGYeHnAZKHvvsc5LgtDyEJ90r4yeuWYelEyeqDfipvEtIIhHmsOieigrSxEiBmIPiFAsp+Rbyh/bcz+l+92fIVCXAuGkXJgZA+NlrUrBVt6Y9AsMfKja4p2FNtWsVA91QbqNab2Gu0iD3VdlVAv3tD11S0WrbCJRCszJcEo+RBE4vHSwBgGYROgi6h4timEJBjBRj12AA7sd1rc+l/cu3DhlYRp3EWty9qKvZU66GKd5bqZksK2rcvvohnFAB2zRk5W5qq+obJ6pqKd2xcFWlxT1MUs6B96KY9wRDwiRZtkTXuXN4kSH2yeqOJWqOFkYJm5Vh1Y7gNgmHab5yXkYZVcmhYDRDOVV0gosfKYxCxVhhVt8cqOC4eaDe8Rj0UsKIgD+c4oYBuj1UUA0Qe0gW1O4+VlyKbqsCsZdL+fcuL2K2x6fBC+uE2qNyqhYJbNVC8Gs7txPvW5rGKYNwVVPFY2UaJ1MKyzyG4X4TVZuqJeEWHcWS3wS8fwAqh9Li+Ro6Vt6Giq3YBbO9QwM4cK7fH6rrfOxT/cdWJ1vdbLUMgZtFY0XVaxmRPvGR+hlOj2fK9b+S9uVpwuQA5d+erFT5i/j1a1K1r4Dy+1C3ymxQ6FwmOWb0osA2AUcz7u5f/DpZOltsWEpxeajd+toauGpP6kYKKoqZi554aAKOExFzd4bFq+k/KxEMm5+88p7SRhaJms4Wv/NExntcrKM/C2S6/83F6rAAE5lhZQjayUObjAbb2rUiOVbNNhGSmGl4g2M79anYsFCgKLIMNAHbuqaGoqyhoCqr1cG9YGKrqLVzUL6x6e92uLvURv2iK7vZljF9zZhRAqaBZz4NuQgFpV3XivIxK/rtX7mEo4ADRGQqoYaZa9yySKtt4jcGyel/QTNloMynbqy6P+9iqomC0oFvH7wZ3PlKU6C7Du2bWB/LwGLVtK5Mry2PVLl7h5XHyQnFdb3mv3uhcuba8cDFyrBaNFfHbmSqA9vBMP9yGj3zHfSZuz6aIV3QIbihK2wqoHR7n32YJxak3m5Y6pagCIuI1CAsF9DJ0xAuU1qTGevCrAR4rs7aH1/UVVUCv1miqHQrYIYUPxVIFVFzvtx1DVaCiPafjX684wSPsE6jWjfBLv1o9miKqgN79Xt6K4rHy+67gtdgihmi10UTJJx/IuZ//9TsH4k+OPyD02ActHbf2D5iGlS6LKTE8VqpiFacdKWp4dda4JxeMFtrl1gNCAcUgdZ5/zwwr1TCmq/UmpibLnpPLQI+VY3O/31vuhbojrxXwNsTqlsfKpQoYcH83Wy1UHeIVhtx6PTTUV8Z2q+C1475xqg0CwC5T9l/ClZOGpUm0QlYL+ooZCphHj5X7mlj9JIWmiviNFOsuF9RE4hXzVBQwEc6xKn+9a/CgYTVAuCf6RdNjtddosWNbe3Lt5c0yXuVB2Gi1oEIJrLptjZMKsGrxKP71gyd41myJgtPj5jyvIOSBWgvIFRHEmJTvFBxS7UBnSI/f4b3qz6iK0YYOI0W8YzFWE//lkuOsdjkl8P3oDEnznsC4DXDxvOgeXjZniIzm+p4X4gmQSXxBPCWqYvWRMK9dmHiFLd/smDRZoYBRDOJgVTRjG/tcfb27SmeCvLSvKTlWnoaKw2PlYQjBQ6rdzxh1brO3Gfrl/rzeNA0rnxVcXVPMBQnv+1vOO4rHKqh9gB0KWHV4iDXTk1AJqPNmecKgtP0drQ1yHMVeVIlhIOqmtHhRUzFS0PCaaVgtHClYCx9AcCjgqLm45TSsehVyJAtFFYfHx41Txt2NeKtbLf+QScX0QFtKrM328gBOxJCx5J5l0cL3WWKGArpzrGqNwNw4wB5naw0znNbRfFt9UkIBa1a9MKdnvls01bjuaQgydIOqBBd1zpLOxSd5HiZvq/TVObPmZVFTYZcSibevxWNFHLlqYeI2zTeYY5UuNKwGCOnuzrCxl6crPnLr7ZNlJ24VqUazhYJmhiP5rTK6QoD233usm1MAYE+Y3Q/iIGSAljC0oJtfBl0rx0pV2lS0nB6vNx+8FGuXTXjux54gON8zE5hdjY6aX+Rk2YKy9X+rUGUUj5Xa/rfbQHGGRsl2XkazZoas2d7NTkPSjXgC7KLAtndQvhbusWpvZ8fnliqg6nhPaVMwjEvng1/aonScv/M7XkqZkiflDucT2sQrfEIBncIX61cuxNvWeycdW6GAASfWMHOXao2m5+0rxpez3//N+RswUzEFMsz3KnX/ibobq86W6/xGzbHFmSclqoBB+08yWZT+r6oO8Yo4hpV57IKuYKSo4bVZow7XeFnHC6/tsbZrBpR5GDeFEZyhgL2an2hmCHc1wMNYC1mWVxVDQS/I+yF5LAACowSsHCvX+BF0f1uqgNa4pxkqmhFzrBqm6qaXKqDtsZIcq2Rjh9VuRcFcs5HZir6qKKjlVBWwM1zaeE1DbMgKBaw1UdY1KIodZRDXWL7noi2eET7DjnuOQ5LBHjZAOCeDgO2x8vJyaK5JuBOpe+KsVQJEy7FKY0zvCAWM4rEyz7HeaJl1rIIMK+NVJh2aS27dOUn48vkbfffjlXMkg7z7+a8q7ecUFzF2g75vherJxEVtf9/ert2ols/dV0xzPaij5FiJJ6BiCkkUNPs7ct3D6ljZcszex/HPsYpWf0xBpyHi/tsZbmjVsfIwghoeoYDtxlHn8dUAwwpQOqTa/3nbFt9zka/7eeBEKaxcKGC2WvesaSTlBpye3hMPnmrbB2Co4cX1WJ119ArsnLW9Ok4vuLV/K/Sr6ds3rMvUxfhie+ft/uilXud3DXWHt7lc0PDanhpKuoqyrnXWsfLzWJkGlVN5rleehYKqWGFRfuNFVFnwIM9eQbPHzaAx173oFipOYy5MuMUrgGBVVOfndasum2OMUAz1SfGWTlfqlipgpZbc02OrAibaTaLjG+Fv+UuCcef0ORc1kyKqpXO1hlUMO8oioBcr9hpN3J75SHv+dYYNmSfQsBog3LknJV2zHh6d2xqvXhMM+b5b+akVWCDYePUL34qDO+wtkmFlNqDWbBo5YTE8VgWX3HpYjpbVTut62+8pCjxFFHTXNY1LlLBKt+HjJa5hfG6+hhhMqrmS61bhC7o0cn6VWsMIvbKMV/u6R1UF9DuOV46V1JDpetXZNc90LlK4C2/b2yieoYCK4syxMj677/3HuTyk/qGArRY6QgH9CAs7Uk3jr6SreHW2iTGffMtGyy7q3PG5eYyZSj22IM3KRaO47m2HdbzvjERTFaBSa6LV8s/LVHz6chTssE7V6p9xQgEtwQtVxUhBxaszVYwUNIwUNeypRRs3ZBXcadj2auVXUxXMmrlfJZ/yDqcctgw/+z+v4oWdc56f214m/3tVFjMAwwPpd+955f0F4QwFtAo9WxPmaIsykmPlXmlvtFpWXti0GQqoa+3jXLdIrmJWoXgSChinb/cLtx0fJJ4VFxlvK3W7Tlyacu6k/T7iJU1O/pY+iC/S361QuoJR+8NrMm9PNrz3dfO7jsKpZsFKyfPxkpYW3IIJSXB7rKLcyAWnxyqkwK/t8ZBJlktuPeLD0TZc7G2tUEB3WJ3ZvjBvjR8yIQtaabaNW7stQGc4hG14tf/tnrXaRXfb9xMsDGJ8NmfmLDiN2KjhkF7X1etz52/sp9wXFbf0tXN13bdAMMzfw3VIEQNxqpIdss8k1k5NWPv0Fa9QHDWwYnUV735hqAIahX0rPmFCmmrUMfPzOkg7Zir12MVm/Wg4chpVRbE8P/65ZMZrN/krVtiR0rloEwV7PFIwVtLx8nQF5YKGkYKGuaqrQLBP/xODdKEj33XzgYtjnUdUCpqK2WrdbLP3eX7xnCPx71eeGGFf/te7oNk5VvWmv7f42DWL2653mEFp5G4B1YZdkFryMsPl/hUr16mzQHC7KqCx6KhYHtuk9oimGqIhmXmsUjRWeo1XnmySfTVaLeypNm3DyvwxaQSkA3Os0oUeqwHCHWohDyOvh6stROD94H3L4fu0JSYDwaGAWsKJrde+4oQCaqpieYvCPE6yO1shTGlL5q43m5EmXp5hXoqPeIV50K49VpKbEqC64C4Q7HfZ5G23B8q9uRgA7rCNYG+g8Vml1rDEK4zvqvbvGlW8ws+I9zDwbEGSiF4e13V0X1Z7kuIfViJqdh3XzTKOvK+VpvirdykwfuMgoZg4SLhiUTcmj173p3is/Dy9tseq4RlK6H3c4LY7Fwg01Tas/EMBu78WzglntWEcZzRGHoUzFPCgpeN44L9eQrmgolxQ2+TWgxZkxGMlcvhPfGxr12NBGE6PlZ8hEnWcDg6pVtrk1v3uvaP3W4SnPnmqfWz5LX3GMgkNdRaklmdBpAUvVTFzrFwFgs0/ZFFj91wdC0YKXefjeLW73mhBKWQz8UzTWOk1VkRASvOFZssomi7jh1/4NukOqgKmCz1WA4Q7BEzCJ4oeD1f3tt77M17Fm+OWgHaS5iKGPQHX2toRhtTdCsuxkue5THZ0rV28olZvWUnTQciD2OntCBOv6NZj5Q7P9NzGFdLnlyTul+vgbrMYAJZ4g8927n0XNRVzZiigptkPONuTGlLHKsT76RWfH0WxMAi3wWoZn4rieTzZpuURCqgq6MiTcre/4qNCJuscQfeaF0EKa6IKKOfj1R63eIXXvmcq3jlaXgTVSQLaQ4MURbE8P2GGVTe/rpySqijYd6GRQzEaw/NmhQ+qKk5etwzP/nYW5YKGckGzDBggOBxuzdQEdFXBykUjxvGLes8Mq4KmYE+1AVWJVwjZe1/+39cdualRw6cBR15gwOfNlohvtBtWUYwGkZt3i8fIb1MxjeHpSh1FXbXHqIQPMU1BpnLrUSIKsmC0qGH9yoVt76nWmJqGeIUx3tSbLTv03Ce8nXSJ4zLymiaHHqsBwgp5MceqohU+4S+pHjSuuSV13ZXs2/eX3kDmrvkUdSVR1xQ0muEeK6lvMybFSl1y69VGVI+Vh8fBNEbc19xWauw+lOrMo1bgFDM807s97e2yPVGdE3/A6YGS7dpxqwLKBmETkIKmYK5mGA4FRyig5kpE9yMs8djLwAsrOhpGh3iFMxTQQ4UQML1BHsaTVSDY534JUiFTzLIGfoqCfvidt7wt19zrvtDNe9y3jpX53nS1jiUeku7d4DS8NMUQxihqqu85JxlW7HFRweuWTeCJj22N5Z1whgKu22cBAMPI3GfBCP7va3vM+n5KYB2rJRMl/PL6t3R/EjEQj1W3QjnuffmhO3JTGx4LDH6EhgIqihWyJ/22ZHmsws9JV+26bM4jyW8zV+sUrzD2nezZpZr3UWaGlWtczwsPf/ikjmsbNB7FRXLyjFqMLvGKnF2LQcV5GWlXJYceqwHCPbEWz4CX90UmMGErRk7Dym8FHgj3MsTBFt+IHgoI2LLpQepcgCFj/synTnOsmiltOVbOldIgvCbGqmLUUHFfB1lJSzLZ+Yuzj8A+C0Z8P3d7qEI9Vj6v1v5UtIUCyqdhv3FRtz1Wct66w8iKLl4RPMn29lgFt80Pt4PFzstx5om5t1E8+5qqGF7MZstbDEJXFdTqPqFTiu3tinMv+W1r1YsJCKWSezyoTIGmKqnlWOmqgs0H7t3Wxtmqfw0r2aZb3PX9nJLnUSg4QgFFROb/7pzDfotHsafWwPOm5HqzmQ9vga6pmKl6q8HG3leQYeV8NoTktTqxPP1+Spbmfp2eVnmNIpOvayrqjc5wWhkjRDFxes7OsXK2q1vEw5/Vir4d8pqvadtYSe8YN+TvNIQ2VHMhq+7Ik5P95uB2nBe0hQLSskoMPVYDhGUsuTwDZa8cK2uVLnifTqMjKO8jLK8nDh0eq4j7LJgP1DDxCje6qlpKUYCRpxXFAFI8NjFCr5pQVb3jfaD7UMAo2L9B+2qd+1K449ttefP27XRVxe5GvVO5LuTaFnUVe2qNNqlyVVU6DGY/wsL6vOpKiTcsrRVKp7Hpl4+oKECr6W24isfK634x1BYbvsWDDan2eMaEvyfZeA2Sq7bLKvhLTqtKvFDAIB7+8ElWmDJgXI89tUbbe35t7GZ8SZrUL7+7c7GlUjcS5devXIgf/vI3OHvjaOiCTr/QVSMUMA2PVdAkyjluBolXuLFDAb0tK00xQmUB25CSsPA4OVZNlwCM/DaSFyeiLpbHKuFvJ6I19FiF45ZFT4KqwhILcj8bqAqYDnkY1+YTNKwGCNuj0D6B9cppsSfX0T1WrQCPVZqhgF17rDQjmdovSd+Poq5iplK3/nbWTwlCBm3nyquqGMqE7gG9kILHKgw/ZUb3yrV7omk3tdPzUqt3TrbDfg8xrDTVzvHQjUB4AJ0FqN1Ic329ox7x+XHkdaP0DKvIsmr/390nFHirNErMv2+OldIuCuLeZ6vVQgvxJum+27rGAj/xCsCsPRYQ6jtdaWCkmLz/7jVWbPtbVQwvQlCYrF+4ahTkO91OskSARX7/G95+uHXN3nDAYjz67Ks4e+PK0NzOfqGrKl6r1lLxWAUexxEK2IyVYxXmsbK9SgWXxyrKOclioDsUV+7jikMiv6ip1hiVRihgLUPjepBUAWWBJo2WStkLZwoAc6zShZcxXWhYDRDugVVWgL08BO4isX5IIjAgqoDe24UVdY2DlRdiya1HNKzMFVRjghP9eOWCit9M20notUYr0gPcc2KsKJ51rMZLBQC99Vj5PUTcoaDuUEE/g6wjx8rxfhAFTcVcrdkm/CCCDYC9Whl2HmEFR50/kZcXy48opVGdbdBV74mXonjXsZLQlBb8c6xqHpL8xj7hyLGK0FBrn37nYbwGJf/Le9V60zfnUkIB0/BYee07zMOSZFzxKzsQFacqIAC885hV1mdTk2U89eJuAMHKeP0kTY9V2HHaCgRH/I1CDSvFUeDYJV4RJnwDmGIsjWbHvelcQBCcHqukk3BNjV54uRdYqoA5rGPlRn7HVBZizXHYqcqppRTeSQxooKZLvoJ1SSAyKbJC6azEX3+PVdggrDmUnwzlNL/JrvGaxu0nD1y7QHC07xU084HabMVSGyoXNMzV28UrouRYeY01quodFjNeNtYoeuux8n7f/fu7c078crFUxTQAYhpWogqoqoq1yq+rtqR9uMcqeKLj5bGK4zENkqy392fv10/KXVW88w4VJThPSoxMr0m4hAI2A4QQvNsbbIQGFduW43gtCAgFTcVrs1WMxMxPioISIcdK6GailDREyisUUFg8XsTL01UAyE8ooKZgtlbvvWGlqag5VAEjhwKazfK7CzVVsQQmrDpWevtrYLusUMD2MdEKBaw1MGEqwhZ05+JPpOb7knmOlSWyk30fDEMWaOIWHPdCFrKc5SKcub0kObyM6UKP1QAh6m+2x8oYtLweRpI3FSUsy5lj5R9x5O31SEKcOlaA/aCvx5zglEyxBcAIw6o1mpHk1r3FKwwDwv2Z/OUsEJo6Hqf8d/9rM45atbDtPafR4PW34PdwCluZLukq9lRN8QrHyqFI2oc97MLEK7wK9kqfjxLCGcGuajM+7Ye1u0+YKmAdIZSmsp9fXSg1OBTQrmMV3k4A+LO3HIwz1u/r+ZnsQ2q2+akCAqbHyueaF3UVL++uYKIc7ZEQZ0KjKQqmK/VIk6yuJkrSvxMOTl6LUBPlghVGHCccrpfoqmGo9sK76MQIEzdDAbvyWAXlWBl18Nw1DaMYi1Lw3c9jNVdvYqykY3elDl1VrTEjjTpWWaoC2oJU2ffBMIq6ivvefxzWmEXTk6CqsDxWbu/jIHjvBoE8LBjNJ2hYDRDS992FWL2SwpumsRS2AuisVeLvr0o3FFCIK14hXhEpiBqVckGzDCuJzY8yQfcKaZG6Qe4J1iH7TOKKra/DWAordGHtcXLM6kW+2+mu38z9bb+8pUihgObESI7hDCkN6yNhCpNeNVCSyuv+7R8dY/UB49j2uctxOupYKehYFXd+1+szaWu14RN2p9jhRG6DzY8/Of5A389kH0HJ/9LeII+VjCUTEQvrxqmfpCpGsdZFi0dDt41iFHfu37sfR8c4aMHjBxstathj1rKKG4LcK3RNxWylgQUjhZ4ep+Co/9doRr/3bA+59/aKYnisnPdbNx4rd06w02M1XtaBXcYzxlL9TBoKqJg1DDOahFoLTjlTBfTjkH0mU9mPhAI6xSt01ytJBu2qdKFhNUC4cwnsHKvOyfwBS4xaTmGrmm7xiiDVMOdrEmQls2y2O6qxVtDUSHLrbsoF1UpolmTsSHWsPHOs4PlwLeoqtr3poMht6oao5+w2wK0wTneukI+xEhoKKB4rVXEkhqtWeE8YYflSVmiew/h1G4tx+Z21S9r+tvqzqlgGkFeBYMArhNJ4Ne4bD4+VohiiID4eT1n0SONecucrel1TCbcKEq+QCe1EOdpkPc7voKrRPVbdpLAkTeqXEndeC1SjRQ0zVcNjlZtQQFXBbLXeswLE9nHcBYKjfS/sZzBCARuWtD0QHNbu9f26GQroXJyQ41bqTcvzWkyxjpVmLh5l1QOk+dqQeWmMMbP9/vMKFyfdQ4n1dGGvHCCsCbP5H3kIea3yLZkotdVy8qMtQTlg4mB5PVK4ASX0UB6ssVQBG8344hW6Zknw1urGsbvNT1AVQ5kwi5XrqPMCmWy4Q+7cl1nzMVbCjmPVsXJ5rI5YsSBS+8JWtK3aTI4JhD05SufCOw01vzo3dr90tdNhWAV5rPxCARvmwkIa95KVYxUgXmGEO8LKi/NCvj8eMRRw5aJw75OzjdNzdatgdxBR8uPcuBcS4iLH9FpsGS3qmK00rO1yEQqoKVbB5Z4eR7XzJlsxQgH9POSChJ8721+M6bGqN5od4bSKYvTzSq2B8ZKd82rXPEr226mqEruwd5okXVwaVDQzFLDRbHWErw+bkUkGA3qsBgj3wGorKXX/gJXVP0BCm3y8CD6T824QQy5uKGBZ11CpN9sqsEf6niMUsNIwXrtd6VIVoFqPJzyQFlEf6NbKpkvwocPz4vJYyZQ27DiiCrhw1C4QrKoK3r1pFc7euDK0fWEeK7ufO8Qr5DsRLsF97z+uTV4/CKfHyr1ruQx+oYD1pnfOkmbmwPipSppz1XQ9ViGTR0siP+S3HY8QCviDK9+EpRPlyG1UFUMwZrQU7o2od+Gycvf3uIih6xXeOFbUUG00jQWdnORYaarhue+9eIWCqoQCtlqxDQq/zd2LAYCR/wcAC0bDPaa2x6pzIVCEYyYcYkJxFEWDsD3/iXYTG7kn3aJEw4KoszoXfuV54BW+S0jW0LAaIGQ4lUHFLhDcfV6PO0HZb5yy6v6k8FRpWKFQ8Yy1csHwlBgV2KO3o1Sww9TmqkZsf5xJibPQpZ94RT+I+jy1DSbjb9tAaN9Bt3Hqdh2r9vwkRVEihvJIe/w+N9vlFK+wwmDCf7cosf22oaY4Fg3aG2T5q9whlObfhlKad/urPuphqmJ7SNKSIgaCQwEBY6zYU/XPsZKJbRTxihV7RfdWOds0FsFo8xM8CMJdMDsuzQBjbtRs82ylgWYrH5Nad92tXjFa1K0FqTSNStsjbd88k2a+WJQcP11TrRwr9/0nUu7iHS1qqnWcxKGAIbmhveDfrniTNQ7a6qXDZUxo5mJUwyPHKg/3IyFuaFgNEO4VK5nwTyZIYtY1IyEXgBlaEexFSCXHSo4dM7xrpGh4npox4v2Bdo/VTDVarocfipJdkciw+jCCtExzTTjdLQ6TPfejpBmGlaoojod+9H2ESad7eazcD9SkWF4Oh3Hobo6fEqaVY9XqVAyUfVbrTU/FKkXpXFhIgu2xCjGsdC0wFFBq//SiDptcx7BQwNdNTeDtR3mrHwbu33ztNjKuEXA/yfWYrRke0CwWVNxI+FOvc6xGi5qtiBgjFDAML4XPLQftjR9edWIkr5gUCPYKy1MVw2M13guPlTWO9q8PrHIIvgxSgeA0MVRYW2g0Wh2/Za8XFwjpBhpWA4SVcO9YMQeirTL7YawGOXOsvLez4+aTD2TuSWDUyXLZnBwaK1cxQgF127CardYjrZw7aVcFBOqNZiahgNHFK9o9Pn5N7YjZj+gsKGiSY+UwjmNMuiLXsXKKV6S8Qml5S+Hw7Pn0bT+Dq9Hwll7WFMOw8n7o2/ebksK8WNpS1P1VAQFTIr/WwKTPWCGGVS/yR6RvhC1o/L+XHd/V/pOqAgbldRmeWFjKgHkoSCrhT70OBRwv6ZZhZagCxvt+eChge39YvnAk0n4lysKrjpwIY4gIS1FXuxqjPI9rLVQl2k3XDJLcepooppffWaQ6LWOZkF4wXD7lAcftsXrDAYtxy7uOSrRy2Z5j5e+JSTPHyh22FHWyUi5q2COhgDFOuVRQrQLBs9V2Naq4GKGA6a3exiHqIeVySr+IY8BEwSleIceIM8kLW3mV39YZP+8nDd8tTl0KvwKifgaX02Pll2NV8zG+VcUpt54c+7cONlZFydHfY9XwfD8N5JBxFzSi7z+e59tNUPihoihGGKW5MJMLj5UrFLxXjBZ1zJgGZZo1vOz2d7c/p8fK3d9Vpb1AcElXHcqlg+exaju+w8s+TIhysbMPinHZa68tId1Aj9UA4Z5EFTQVpx6+T6J96qpqrdgGhwLKa/JBffOBi/G/f/Js7Bwfw/PUnXhF1RS9mKk0IqmT+aEqyFAVMNp1cofSydfc08cOydqIP21RN5LnVcU2rOKEkLll4N1InpZXgeC0CkLaHis7L8w9YZK/O0Q/nDlWPoZV1ScPT1EUSyyhFzlWfkaCGAd+hoF4rHqBTEj3iiBM0A1ySmH35F1/vAm/nal2vF8JKRMgCwlATjxWfQoFHCtpmK3aoYBphT+7F37ioqkq6g2zjlXHZ4ZynxjxBYfcetKwMbuWY6LdJD7+sBXFlYLszvqR8vwftmtBBgMaVgOEVZ0+xQeqpto5VkEPT1tuPfkxf++I5fi9I5bjVy9PW22IwkhRxauzNVO8IvrxyuZ1qzaa2FOrJ/JYKabHKptQQOM1LGLPyrvRg708lty6FnHHJs5kcKf6VlTCPJXSXGfoWNqhH07hFNmnW0Jc2tEhaiEeq6ZPKKCZY+Unt95MM8fKfC2GeCedXkYvfveQKfzwV68kbo8X8jsuGCn2ZP+WOEtI33jjgXt7vv/mQ6bwynTF93slXcVsVdREs5/IdeMl7oaxko6Zil0cOW5/9fPsWOJLXbZfNz3CTQ+lQunfkmPlLAmR1BD1E7npF165p8OACP54iVfk4X4kxA0NqwFCJk9prlTqmiPHquU9UQS6FzoIPHZXHqu52GEpo6aHarbawHSlgbGYhpXT3lAVxFYlTItuPVZ+ohfdJgA7QzlFOKUWpADgIiy3btLMj3CGjvVKvEJen/7kqR33leJ6tb9rvFPvwrBSHR6rNLqQTPKk5ILfpK+oq3h1tuq7wvv5c9Zb40DajJeM33Ovsd54rJLmWP3hplV45zH+ZQIMRUUzFDAHEzlZGOqreEUXoYC+zxIlmaFTKqioWnWs2g8if8uCT8lRx8pLTj8OimvM6DduoZphQVWNMbPRsI17Ge/Khe4XSQnpFcN1hw44MqEtpLhSKTlWrVYLrQA5YXk7TXsirhdCVAFji1cUVKgKMFOp47fTVSwaK3XVXiBbZSbLgxJxe+knlmHlckmplrESrz9J2J+mKJaROhLjAWd5WXz68WH7LsD2y45vm3iFKQnGxS3G4jXJ8zum02PlLakeUCBYsQ3cdEIBjdeiprX97aaoGV4Xv8lsQVN7NkkZMSdBC3vssUpidAd5IaS8AJDuwlK32FLivW3LWFHHtCVekWYoYDLDarSoYU+1YeZYee9bcqxW7DVqPStSCwVMtJfusRYihyz8TVWM8M5Gq2VdA3kGxXnuENIv6LEaIPSUHhDt+zQUlsIme3boVHrHjusFKxWMHKtGTPEKRVEwXtKxe66OV6Yr2Hui+wle2hP8OEQNx5TfUvqJqM91eKxkQqp5G15+yIqprhm1q759ybFYF6F2lCA5fUErr2umJtrbmnqOlfEaeC19tnF6rLz6gR7gsfJqQxLk8PJb+8utq5ip1DNJ9pb8rV57rHoVnuvMscqDx0oKLZd6PKkcLzsMq1b3cvZuZB2nW2n/ckEMq1aHF0p+n3JBs7zQjz+/E0AKoYA9iNqIgxWJMHSGlZE72my2UCxItIRpWCUI6yekV+TKY3XDDTdg48aNmJiYwNKlS3HGGWfgySefbNtmbm4O27Ztw+LFizE+Po4zzzwTL774Yts2zz77LE477TSMjo5i6dKluOKKK1Cv1/t5Kj3BmkSlGGOtKnYVe+Nvn+1CBAe6IW4y8Ij5QO1m9XSiXMB0xTSsYnqsnCFGdqJ8fh9udbPgcyE0FLA9tDRqOJ9bge7Q5QtiGdyiQhnH85pU+c1vf0HNtkIBfQyrZlAooI94hbPfpileYXknAwyrSr2ZSU7CMasX4chVCyMVj+6GpGIIYYiiovNYWSIeq7ghzXGZKBuLUUCXoYA+7yetQTRa1DBbaxjiFe57UxRFHYWBrVDApKqAcUMGUkbG2DSf/4OAqhjpCvWmndu8bLIMwEgPICRv5OoOffDBB7Ft2zY89NBD2L59O2q1Gk4++WTMzMxY21x22WX41re+hb//+7/Hgw8+iBdeeAFvf/vbrc8bjQZOO+00VKtV/PCHP8Tf/u3f4o477sBHP/rRLE4pVWSFL03ZYsmxsvM+QkIBU3yqxM2JKBeMkJxGsxV71U5qsvxmuhrbY+WcUPR6dTwNxEAqWqGA3tvJPDTuhEPqz3Q7UVm+cASTZR2jMVbc086xsrue//78ardJExoedXQAo61+YbXOLp/Gwre7FlnTJ0+qF/mZUTly1V64+31beniEdPuGG0NRsQlVyU64wMmY6bEa7ZF8vTBpLka1Wq1UVQFl3O9WvGK0qDtCAdvbZOdv2e9bkR4JQ+iz91gZr0PnsTKVHpuOUMDDVyzA49dtzfVzmAwvuQoF/M53vtP29x133IGlS5fikUcewfHHH4+dO3fiy1/+Mu666y6ceOKJAIDbb78dhxxyCB566CG84Q1vwP33348nnngC3/3udzE1NYX169fj4x//OK688kpce+21KBZ7E+ffD9ZMTeDBK05IVQ1KVw3pbPFm+OdYpe+xipvbM2rmWOmqEvvhNlbSsFs8VuPxPFbOQ0mTs6xnE3boJRPG+YkaW1gdK5ls7z0e7d4ohnhHwpgsF/D/Xbs11nesIp8pqwIG7c7PYyWT61bLe6IdFLbYblilEQtovMj5+MmmW/mZ83BS1h+PVT03amwixpM0v2TRWPD9PlkuoNFsYbba6EoV0G+gsjwvXf5eEgo4WtQ6c6w8FAAtVcCEv5+lCphoL92j9Lif5xW57rVGex8c7/HCAiHdkus7dOdOIzZ60aJFAIBHHnkEtVoNJ510krXNwQcfjFWrVuFHP/oRAOBHP/oRDj/8cExNTVnbbN26Fbt27cIvfvELz+NUKhXs2rWr7V9e2W/xWKr7K+kqKvVGeChgD3Ks5DkXUJ+zDUmmNpJY43Xd8XIB02aO1eK4oYBeHqscz09X7z2GZz51WkdOlrvGkbvg9A1vfz3+8U83h+6/kFJoTRzEW5uWwIIV1RNwCkH5dIrLoIn6vbT7j/tYfsaxnReX6yG/K2wxhB55rHSjMHlO7CrLIEoywf6XS47DP/w/wfe6SJbvnqv3pEBwt6GhEgrYbPlHUDgXH9PKz1Qz91j1f9zNA3K6tUY2ocyExCW3Jn+z2cSll16KLVu24LDDDgMA7NixA8ViEQsXLmzbdmpqCjt27LC2cRpV8rl85sUNN9yA6667LuUzGAzKpiCERBCFhgL2wGMVdYIwVtKN1dOY4hWAoRL16mwVu+bq8UMBPfJiBikEwW8iIHaWTDiWTJQsb1cQpYQeq26QsKduE97dOAsE+xFkfIlsute3g8oIyDtpF1vVVAX3X3Y8Vuw14rmdTDTn48TEUgXskdFY0oOLK/ebckHD35y/AccetKTrfaxbHi42o6mG6ueuuRoazfT6rPTB0S5zxIxc2zqAzlBcCYV19nN5viRdlOnFMzAO7oWwYUHOO6v6kYTEJSdrcJ1s27YNjz/+OL7+9a/3/Fgf+tCHsHPnTuvfc8891/Nj5oVywVC8kho24eIV6Q1s9spltG4odVW6Ea8YL+l45pUZKAqwaDSeYaW2eayM17xMsqJgy627MUUkYi7FZzFJl0T91A2rCKfgtYldB8vDKyX3SkCOVWqy8Y72rJ2asMLE3JQL/SkqmwVJ5bvDMEIBm7ma1J148FRffsuJcgG752pmiYt43/W7WmJQdetBGi1qmK020Gx2LgTKAqEzn0pCJpOOHbbYUrb9IOvj9xu57n4lLAjJG7l8yl500UW499578f3vfx8rVqyw3l+2bBmq1Spee+21tu1ffPFFLFu2zNrGrRIof8s2bkqlEiYnJ9v+DQsjBSNvScLE+ptjZexsX59VdjfjJR2VehN7ao3YichjJR3P/GYGe40WY69sH+ZY3c2yjlW3SFPdIZemeGDsCY5MYPtpXMpqc1qTySDDSLBDKb0MJH/DLNBjFcOgi0JUD6oI3uQlTyhN3JLzaVPSjMWnQbrn02KirGNXl6GAfttLX/QTWglDIhe8BDVkgdBZymHBaAG3n78Rr3OVcIhLnMWYXlBreOdPzncYCkgGjVw9ZVutFi666CLcfffd+N73vofVq1e3fX700UejUCjggQcesN578skn8eyzz2LzZiNefPPmzfj5z3+Ol156ydpm+/btmJycxLp16/pzIgNEyTSs5BnnX8fKeE3zoaKqCn51/VuwNuIDT8LBdu2pxa4+P17W8dSL05ZMa1T+62On4Lw37m/9rUScyPaSuMqMfpN5r0TvKMi1T0v6PAoLRo0aSGEJ91GJsuob1OeDDDO78HXn9Uk7FNDqjyH7k0Tv+agollQMIYxizkIB+8loyVDg60a8ws+wEs9RI2pyrYuxkpFr61UgWHKF3X3hTQcvTTxm26qAiXbTNatTzq8eFNpCAYfwHiSDR65yrLZt24a77roL99xzDyYmJqycqAULFmBkZAQLFizAhRdeiMsvvxyLFi3C5OQkLr74YmzevBlveMMbAAAnn3wy1q1bh3PPPRef+cxnsGPHDnzkIx/Btm3bUCrFEy0YBsoFDf/82AuYKBsTV79xqxfiFUA8z4/Ic782W4s9iVo6UcLOPTVs3H9RrO+5CxAOYiigH3IucY1U8Rr1UwdhslzAM586LfX9Bv2MUQQq/PKvAO/rk754hfEa1h/HUs5RyxPSf5tdTtRD96+rmK3WcxUK2C9KuopqvdmV3LrfuCLPkHX7LOiqTWNmSHir1ZlzIzXyeuFdjJKX2UvO2rACJx86Fb7hPIOhgGTQyJVhdcsttwAATjjhhLb3b7/9dpx//vkAgM997nNQVRVnnnkmKpUKtm7diptvvtnaVtM03HvvvfjTP/1TbN68GWNjYzjvvPPwsY99rF+nMVBI7sWdD/0fAOHS3FkOa6qqWPH1cVfely80PFX7LoznsepoQ8CkOe+4r5hlOMR8WBUy8Fj1iiCDRCZQXlsEeZ7sgqQeHivLC5aWx8psR8hPIYaVXw7WICPeuEqtN6FSRc0oEDyMYUiWamwXoYBBYbuPfOSkrr3PEgpY9yjQ3W14YRSy9lgpioKFMfOD5wPOUEAaVmQQyNVT1i0H7UW5XMZNN92Em266yXeb/fbbD//yL/+SZtPmLe5aKH4TTXk764FttGg8VON6WZYvNPK4ViUMp5AJbJYhCWkdutuV11IGHqteEZRvF6YKaLwGfeaRYyXGWsq/Ydh9OW4WlR3rUoktz8jiUK8omYXJhzEMyTCsmrFVAb964SasmRr3/XxxzFqCTmSRYKZS72hTvaeGlfE6bOIRWSO/cb2RnuQ/Ib0kV4YV6T9jriJ7YaGAWQ9sYyUNr0zHz6c4aMk4/uDoFTh5XbJQijxI3qZ15G7PwQ4FHHzLKkjwIMgrFeR5ssQrAgoEpzVJb0HUPENCAaWo7Dw0rOQ3eN2yZOIEfpR0DTOVxrwsrhxGSddQqRmhgHHO/9g1e/esTbI4sLtS7xgLGz00rNIWniHRkLGt1mjOixD8YUJRotcpnU/QsBpyDtvXjnNXFP/VOCshP+OBTSaIcUMBdU3Fn591ROLjD2IdKz/ed8KBeMMB8XLOANuwmgeXIFAlL2hlWn5/T29WQGmCIC9YN7RCRGeEpaZoy17zNJSoF/l3QlFXMV2pR6rxNt+QUMBGs4VSjz2DUdE1FSVdxfScl8eqd8p58uzLKsdqWJHnDHOsyKCQj5GSZMa+C0dw3/uPAxA8OZPxLGtVsTEzpCluKGBazCfxiqWTZZxy2D6xv1ewxALSblH/CVImC1YF9DeepG8Eya2n57Eyjxky4dh/8Si+fN4G7Ld4NJXjDhMlXcVMpT6cOVYFMxSw1crVmDde0rG7Uuu4N3u5Op51jtWwwlBAMmjQsCJWwcbARP6UJ4TdIvWMeiWtHEbQhDrvpJUbIB6rXiaK94sN++3l+1nQb23LrXd+TxYfvCYBlrEWs51+2B6r4O0URcGbD5lifkgXFHUV9WYrszEnS4qaoQrYauVrUlsuaNhT7cx766Xxm3Udq2FFIgBqjXwV6SbhDGMYIMBQQAJbwCJIrthehc92ciGeqqzyHaKqsM1nsvIWpk1Y+FjQRCpooSEoHzFt8Qorx4oTjp5R0mUxZ/iucamgmeIVrVwZ5QVNwa49zY4FhV7eB1pAiC/pLarCAsFkcJgfMySSiJJpWAUpKtm5RX1pki+yahyk5tZLrElzlg/XjB/sYljN9/mFlQ/l4V8KOnV5+HsaVmlfM/OWzVOY1nxDVDCzGnOyxM6xylcfK+oq5uqNDmOvl0aP9fPn5zIMDZqqoMYCwWRAoMeKdEiue5EXuXVpx2hG6mZqTq5DltjCDfP7GgRJqgfVAFP7aFhFzbEi3SOhr0PpsdJVVGpNtJCv8gpFXTUm2u4CwY3eiVcMchj4oKMoCutYkYGBhhWJNGHIiyqgHD7zHKsBHODT/ukG7wrEQ7Xq1nR+ZtWPiiteYV21lMQrzPBdzvV6h+WxytpdnwFFs46Vpiq5GvOsIuWujv/J3z8cO3bN9eSY8gzMz1UYHhgKSAYJGlYkkufBzjfJ2LDK+LGm5CEUMCccuNS/AOh8IKjP2/WjOr+nBYhX9Mxjxf7YM2yP1RAaVpphWJUKaq76mIQjuyfaZxy5b8+OSfGK7NAUBXMUryADAg0rEom8hMBlLfeel+uQNT+/9mRMlAtZN6OnWAVBA7bxetDLBNRbFTDdfiN6M8PeH3vJMItXFHUN1UYTRV3JVR+zaun1sU25yK8dUnjtB5Nlk+WeeZDzDA0rEgnRtYiSj9VLrjzlYJyxvnerkmHkIc6+2/ldmk2e70YV4Kxj5eGxCijMGyheIa+pqQLK/jjh6BXDLF5R0BTU6k00Cmqu+ph4rPr5k1iqgDkyMIeFvOR4k3jcc9EWVGq9y3vMKzSsSCSmJku49d1HY2qylGk7li8cwfKFI5kdPw8eq2Gc4GVBkHiF4LWCKhMvL1l6W2kwHVrDWiikj4hhVRjCSV1RV1FtNE1VwKxbY2N5rPpo7MntTK9J/9ECFqtIfpmaLGfdhEygYUUioSgKTjlsWdbNyBwrxypD26bbB3vW+WmDhi0z4ZVjZX7m0Q/k4S+Tv7Z9ph0KmOreiBcSCph1GHIWlHSjQHAzZwWCLfGKDEIB6bHqP2oOnruERIXdlJAY5EHEI6iQM0kPJSBZvRVQP0qL4LFKDXaFniMGsjakqoC1hlEgOE8GRVH3Fq/oJfSaZIe9oDl89yAZPOixIiQG8kwtZDTAv/ngpfi99cszOfawYedYeX0qqoD+4hWeHit5TWluRiO795T0/ufz5IWC5vBY5SgELotQQAooZAfDMMkgQcOKkBioVgJzNsf/8vkbsznwEBLFO+nVD0oF400vw4rFRQcP+T2Hso6VKbeeO49VFqGAFK/IDDsMM+OGEBIBdlMCgOENcRnGSdawITaQ160RFAo4XjLWq7zqHqVex4oOq54jOVbDKBQi4hXNVitXiwJZyK3LvZ6fqzA8SN/jc5cMAuylBAANq6g0Td35QRzfczQvGiiCRD+8JptiWHnLrSttr0lpMcmq58jvuHuunnFL+o/kWDWb+QqFlJpi/cyxGsQxf74g1z5PfZAQP9hNCQDGLkdFprGDuHLGXzgegR4r89VrxXy8pOOgpePYb/Go7z7TYgidKJlwwuuW4B0bV2bdjL5TNHOsGjnzWIkXsZ/PLT4jsyMP9SMJiQpzrAgAJsFHRa7TID5kWf8qHnJLeBcI9r9fdE3Fdy//Hc/PrDpWKRcIJr3ljguOyboJmVA05dYbzXzJrZcLGYQC5uj8hw2NoYBkgGAvJQCAVYs6V9dJJ1ZuzQDWtOln2Mx8wmtC1a1Bk3YtsXpj+Krak/5R1FXUmy3DsMrRYlK5YHqsMhCvIBlgXvpBfO6S4YMeKwIAuOuP34BKvZF1M3JPa4A9VnRKdkea86m052b1Jn9U0jtEfW+u1siVYVHKQG5dxnzecf1HfuVBfO4OEry86UDDigAAlkyUsm7CQCAP1UEMC2nQsuoK71DAZPtKq/cw54D0koJpwOypNXI1qc3EY5Wj8x82Bvm5O0iwj6cDDStCYmDlWA3YAP/VCzdhxV4jWTdjoBDjyVtuvTvLKu1eM2JOMAnx4urT16GWIFy03WOVVquSI+IVxT7mjcr5D9bIPz+Q4Zbh7L2F1zcdaFgREoOgyXaeOXbN3lk3YWBJ04hOe0HwurcdirM3rkh3p2TecOGxqxN9XwyXPdVGroQDygFFuHtFnjx2w4YsZOUpHHW+UdJVHL92SdbNmBfQsCIkBs0ApTgyP/EKj+havEJCAVPqP1OTZUxNllPZFyFuVFVBQVMwW2vkajVbQgFL/TSszPPXKaDQd+wyJ7z2veI/rzmZ1zcl8rMERchAwDylYUGK73raQOwGZEgoaCparXyFP0uB4H4aVgolvzPDUuPNUR+cb5QLGkuypASvIiGEeGA9zFP0WBEyaEi4XR4nXZJr1U9avPv7jlxzGlZkEMjfSElIjuHAPnxQKYkMM5JnlacwoRV7jeLgZROYKPc3m+GIlQux+YDFfT0mCV7kIiRvMMeKEEIC8HqWd6sKSMigYXus8jOpnZos4zuXHt/3496zbUvfj0kcolE5Mu4J8YMeK0JiwHqsw4P81BQqIcOM7bHidIFkAxeyyCBBjxUhMTj/jfujnqAuDJkfJH3M01Yjg0IePVZkuKBZRQYJLkEREoO1UxP4zB8ckXUzyIBDw4oMCpZhxTAskhF0WJFBgoYVIYTEhA96MiwUtPyqApLhgEqMZJDgSEkIIR4EGU980JNhwSqMS48VyQjmNpNBgoYVIYTEJOmDXgEnqWQw0BQaViRbGCFABgkaVoQQEpMGl1DJkGB7rDhdIFnB8ZYMDhwpCSEkJpT/JcOCCK1oVAUkGcHhlgwSNKwIIcQT/6e5mlDWj6qAZFBQGQpICCGRoWFFCCExUTnJJEOCdHUaViQrON6SQYKGFSGEeBAUfqIl9Vgl+jYh/UM8VhontyQj2PPIIEHDihBCPAgK6+ckkwwLDXOFQWH8KsmIpKHXhPQTGlaEEOJBkPLfmqnxPraEkOygACbJGtpVZJDQs24AIYTkkaD55Fcv3IRao9n1vrn6TwYFKmCSrOFoSQYJGlaEEOJBULTfWIlDJxkOaFeRrHn35v3w4//5bdbNICQSnB0QQogHjOsnBKjWu/fMEpIG7zvhILzvhKxbQUg0aFgRQogH52xcielKvSf7ps1GBoWzNqzArrla1s0ghJCBgIYVIYR4cPKhy3Dyoct6sm96w8igcNaGlThrw8qsm0EIIQMBVQEJIaTPUK2dEEIImX/QsCKEkD6jUOeKEEIImXfQsCKEkD7TChRzJ4QQQsggQsOKEEL6DIuuEkIIIfMPGlaEENJnmiwORAghhMw7aFgRQkifoV1FCCGEzD9oWBFCSJ+hx4oQQgiZf9CwIoSQPkPDihBCCJl/0LAihBBCCCGEkITQsCKEkD6zZulE1k0ghBBCSMroWTeAEEKGiZ/82ZsxXubQSwghhMw3+HQnhJA+snSynHUTCCGEENIDGApICCGEEEIIIQmhYUUIIYQQQgghCaFhRQghhBBCCCEJoWFFCCGEEEIIIQmhYUUIIYQQQgghCaFhRQghhBBCCCEJoWFFCCGEEEIIIQmhYUUIIYQQQgghCaFhRQghhBBCCCEJoWFFCCGEEEIIIQmhYUUIIYQQQgghCaFhRQghhBBCCCEJoWFFCCGEEEIIIQmhYUUIIYQQQgghCaFhRQghhBBCCCEJoWFFCCGEEEIIIQmhYUUIIYQQQgghCaFhRQghhBBCCCEJ0bNuQB5ptVoAgF27dmXcEkIIIYQQQkiWiE0gNoIfNKw82L17NwBg5cqVGbeEEEIIIYQQkgd2796NBQsW+H6utMJMryGk2WzihRdewMTEBBRFybQtu3btwsqVK/Hcc89hcnIy07aQwYB9hsSFfYbEhX2GxIV9hsQhb/2l1Wph9+7dWL58OVTVP5OKHisPVFXFihUrsm5GG5OTk7noWGRwYJ8hcWGfIXFhnyFxYZ8hcchTfwnyVAkUryCEEEIIIYSQhNCwIoQQQgghhJCE0LDKOaVSCddccw1KpVLWTSEDAvsMiQv7DIkL+wyJC/sMicOg9heKVxBCCCGEEEJIQuixIoQQQgghhJCE0LAihBBCCCGEkITQsCKEEEIIIYSQhNCwIoQQQgghhJCE0LDKMTfddBP2339/lMtlbNq0CT/5yU+ybhLJKTfccAM2btyIiYkJLF26FGeccQaefPLJrJtFBohPfepTUBQFl156adZNITnm+eefx7vf/W4sXrwYIyMjOPzww/HTn/4062aRnNJoNHD11Vdj9erVGBkZwYEHHoiPf/zjoG4aEf7t3/4Nb33rW7F8+XIoioJ//ud/bvu81Wrhox/9KPbZZx+MjIzgpJNOwtNPP51NYyNAwyqnfOMb38Dll1+Oa665Bo8++iiOOOIIbN26FS+99FLWTSM55MEHH8S2bdvw0EMPYfv27ajVajj55JMxMzOTddPIAPDwww/jr/7qr/D6178+66aQHPPqq69iy5YtKBQKuO+++/DEE0/gL/7iL7DXXntl3TSSUz796U/jlltuwY033oj/+q//wqc//Wl85jOfwRe/+MWsm0ZywszMDI444gjcdNNNnp9/5jOfwRe+8AXceuut+PGPf4yxsTFs3boVc3NzfW5pNCi3nlM2bdqEjRs34sYbbwQANJtNrFy5EhdffDGuuuqqjFtH8s7LL7+MpUuX4sEHH8Txxx+fdXNIjpmensZRRx2Fm2++GZ/4xCewfv16fP7zn8+6WSSHXHXVVfiP//gP/Pu//3vWTSEDwumnn46pqSl8+ctftt4788wzMTIygq9+9asZtozkEUVRcPfdd+OMM84AYHirli9fjg984AP44Ac/CADYuXMnpqamcMcdd+Ccc87JsLXe0GOVQ6rVKh555BGcdNJJ1nuqquKkk07Cj370owxbRgaFnTt3AgAWLVqUcUtI3tm2bRtOO+20tvGGEC+++c1vYsOGDTjrrLOwdOlSHHnkkfjSl76UdbNIjnnjG9+IBx54AE899RQA4D//8z/xgx/8AKeeemrGLSODwK9//Wvs2LGj7fm0YMECbNq0KbfzYT3rBpBOXnnlFTQaDUxNTbW9PzU1hf/+7//OqFVkUGg2m7j00kuxZcsWHHbYYVk3h+SYr3/963j00Ufx8MMPZ90UMgD8z//8D2655RZcfvnl+LM/+zM8/PDDuOSSS1AsFnHeeedl3TySQ6666irs2rULBx98MDRNQ6PRwCc/+Um8613vyrppZADYsWMHAHjOh+WzvEHDipB5xrZt2/D444/jBz/4QdZNITnmueeew/vf/35s374d5XI56+aQAaDZbGLDhg24/vrrAQBHHnkkHn/8cdx66600rIgnf/d3f4evfe1ruOuuu3DooYfisccew6WXXorly5ezz5B5CUMBc8jee+8NTdPw4osvtr3/4osvYtmyZRm1igwCF110Ee699158//vfx4oVK7JuDskxjzzyCF566SUcddRR0HUduq7jwQcfxBe+8AXouo5Go5F1E0nO2GeffbBu3bq29w455BA8++yzGbWI5J0rrrgCV111Fc455xwcfvjhOPfcc3HZZZfhhhtuyLppZACQOe8gzYdpWOWQYrGIo48+Gg888ID1XrPZxAMPPIDNmzdn2DKSV1qtFi666CLcfffd+N73vofVq1dn3SSSc9785jfj5z//OR577DHr34YNG/Cud70Ljz32GDRNy7qJJGds2bKlo4zDU089hf322y+jFpG8Mzs7C1Vtn2pqmoZms5lRi8ggsXr1aixbtqxtPrxr1y78+Mc/zu18mKGAOeXyyy/Heeedhw0bNuCYY47B5z//eczMzOCCCy7Iumkkh2zbtg133XUX7rnnHkxMTFixxwsWLMDIyEjGrSN5ZGJioiMHb2xsDIsXL2ZuHvHksssuwxvf+EZcf/31OPvss/GTn/wEt912G2677basm0Zyylvf+lZ88pOfxKpVq3DooYfiZz/7Gf7yL/8Sf/RHf5R100hOmJ6exi9/+Uvr71//+td47LHHsGjRIqxatQqXXnopPvGJT2DNmjVYvXo1rr76aixfvtxSDswblFvPMTfeeCM++9nPYseOHVi/fj2+8IUvYNOmTVk3i+QQRVE837/99ttx/vnn97cxZGA54YQTKLdOArn33nvxoQ99CE8//TRWr16Nyy+/HH/8x3+cdbNITtm9ezeuvvpq3H333XjppZewfPlyvPOd78RHP/pRFIvFrJtHcsC//uu/4k1velPH++eddx7uuOMOtFotXHPNNbjtttvw2muv4dhjj8XNN9+MtWvXZtDacGhYEUIIIYQQQkhCmGNFCCGEEEIIIQmhYUUIIYQQQgghCaFhRQghhBBCCCEJoWFFCCGEEEIIIQmhYUUIIYQQQgghCaFhRQghhBBCCCEJoWFFCCGEEEIIIQmhYUUIIWRgOP/887H//vtn3QyLa6+9FoqiQFEUjI+P9+w4l156aV+OQwghpHv0rBtACCFkuFEUJdJ23//+93vcku658847USgUerb/c889Fxs2bMBtt92GRx99tGfHIYQQ0j00rAghhGTKnXfe2fb3V77yFWzfvr3j/UMOOQRf+tKX0Gw2+9m8SLz73e/u6f6PPvpoHH300fjud79Lw4oQQnIKDStCCCGZ4jZKHnroIWzfvr3nxgohhBCSJsyxIoQQMjC4c6yeeeYZKIqCP//zP8dNN92EAw44AKOjozj55JPx3HPPodVq4eMf/zhWrFiBkZERvO1tb8Nvf/vbjv3ed999OO644zA2NoaJiQmcdtpp+MUvfpGorfvvvz9OP/103H///Vi/fj3K5TLWrVuHf/qnf2rbrlar4brrrsOaNWtQLpexePFiHHvssdi+fXui4xNCCOkvNKwIIYQMPF/72tdw88034+KLL8YHPvABPPjggzj77LPxkY98BN/5zndw5ZVX4k/+5E/wrW99Cx/84AfbvnvnnXfitNNOw/j4OD796U/j6quvxhNPPIFjjz0WzzzzTKJ2Pf3003jHO96BU089FTfccAN0XcdZZ53VZjRde+21uO666/CmN70JN954Iz784Q9j1apVDPkjhJABg6GAhBBCBp7nn38eTz/9NBYsWAAAaDQauOGGG7Bnzx789Kc/ha4bj7uXX34ZX/va13DLLbegVCphenoal1xyCd773vfitttus/Z33nnn4XWvex2uv/76tvfj8tRTT+Ef//Ef8fa3vx0AcOGFF+Lggw/GlVdeid/93d8FAHz729/GW97ylkTHIYQQkj30WBFCCBl4zjrrLMuoAoBNmzYBMPK3xKiS96vVKp5//nkAwPbt2/Haa6/hne98J1555RXrn6Zp2LRpU2IlwuXLl+P3f//3rb8nJyfxnve8Bz/72c+wY8cOAMDChQvxi1/8Ak8//XSiYxFCCMkWeqwIIYQMPKtWrWr7W4yslStXer7/6quvAoBlzJx44ome+52cnEzUroMOOqhDTn7t2rUAjPywZcuW4WMf+xje9ra3Ye3atTjssMNwyimn4Nxzz8XrX//6RMcmhBDSX2hYEUIIGXg0TYv1fqvVAgBLuv3OO+/EsmXLOrZzert6xfHHH49f/epXuOeee3D//ffjr//6r/G5z30Ot956K9773vf2/PiEEELSgYYVIYSQoeXAAw8EACxduhQnnXRS6vv/5S9/iVar1ea1euqppwCgTd1w0aJFuOCCC3DBBRdgenoaxx9/PK699loaVoQQMkAwx4oQQsjQsnXrVkxOTuL6669HrVbr+Pzll19OtP8XXngBd999t/X3rl278JWvfAXr16+3PGS/+c1v2r4zPj6Ogw46CJVKJdGxCSGE9Bd6rAghhAwtk5OTuOWWW3DuuefiqKOOwjnnnIMlS5bg2Wefxbe//W1s2bIFN954Y9f7X7t2LS688EI8/PDDmJqawt/8zd/gxRdfxO23325ts27dOpxwwgk4+uijsWjRIvz0pz/FP/zDP+Ciiy5K4xQJIYT0CRpWhBBChpo//MM/xPLly/GpT30Kn/3sZ1GpVLDvvvviuOOOwwUXXJBo32vWrMEXv/hFXHHFFXjyySexevVqfOMb38DWrVutbS655BJ885vfxP33349KpYL99tsPn/jEJ3DFFVckPTVCCCF9RGlJBi8hhBBCYiHFfV9++WUoioLFixdbn+2///447LDDcO+99yY+zszMDPbs2YOLL74Y3/rWtzA9PZ14n4QQQtKFOVaEEEJIQpYsWYL99tuvZ/v/8Ic/jCVLluDrX/96z45BCCEkGQwFJIQQQrrkPe95D4499lgAvZVmf9/73ofTTz+958chhBDSPRydCSGEkC454IADcMABB/T8OGvXrrUKCxNCCMknzLEihBBCCCGEkIQwx4oQQgghhBBCEkLDihBCCCGEEEISQsOKEEIIIYQQQhJCw4oQQgghhBBCEkLDihBCCCGEEEISQsOKEEIIIYQQQhJCw4oQQgghhBBCEkLDihBCCCGEEEISQsOKEEIIIYQQQhLy/wO1bACpUvhw9QAAAABJRU5ErkJggg==", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_temperature(steps_plot, temperature_list_prod)\n", "plot_energy(steps_plot, energy_list_prod)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Diffusion constant & velocity autocorrelation function\n", "Velocity autocorrelation function: quantifies how the velocity of a particle at one time is correlated with its velocity at a later time. It measures how strongly the current velocity of a particle “remembers” its initial direction and magnitude over time.\n", "\n", "\n", "$C(\\tau) = \\frac{1}{N_p}\\sum_i \\langle \\mathbf{v}_i(t) \\cdot \\mathbf{v}_i(t+\\tau) \\rangle$\n", "where $\\tau$ = time lag and the sum is over the number of particles\n", "\n", "Diffusion coefficient - Green-Kubo relation\n", "\n", "$D = \\frac{1}{3} \\int_0^\\infty C(t) dt$" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "def compute_vacf(velocities, max_lag=None, remove_drift=True, stride=1):\n", " \"\"\"\n", " Velocity autocorrelation function averaged over particles and time origins.\n", "\n", " velocities: (nsteps, natoms, ndim) or (nsteps, ndim)\n", " max_lag: max lag in steps (default: nsteps-1)\n", " remove_drift: subtract global mean velocity (recommended)\n", " stride: use every `stride`-th frame to reduce noise/cost\n", " \"\"\"\n", " v = np.asarray(velocities, dtype=np.float64)\n", "\n", " # Reshape to (nsteps, natoms, ndim)\n", " if v.ndim == 2:\n", " v = v[:, None, :]\n", " if v.ndim != 3:\n", " raise ValueError(\"velocities must be (nsteps, natoms, ndim) or (nsteps, ndim)\")\n", "\n", " # Optional downsampling\n", " if stride > 1:\n", " v = v[::stride]\n", "\n", " if remove_drift:\n", " v = v - v.mean(axis=(0, 1), keepdims=True)\n", "\n", " nsteps, natoms, ndim = v.shape\n", " if max_lag is None:\n", " max_lag = nsteps - 1\n", " max_lag = int(max_lag)\n", " if not (0 <= max_lag < nsteps):\n", " raise ValueError(\"max_lag must be in [0, nsteps-1]\")\n", "\n", " vacf = np.zeros(max_lag + 1, dtype=np.float64)\n", " for tau in range(max_lag + 1):\n", " dots = (v[:nsteps - tau] * v[tau:]).sum(axis=2) # (nsteps - tau, natoms)\n", " vacf[tau] = dots.mean() # avg over time origins and particles\n", "\n", " c0 = vacf[0]\n", " vacf_norm = vacf / c0 if c0 != 0 else vacf.copy()\n", " return vacf_norm, vacf\n", "\n", "\n", "def diffusion_from_vacf_cm2s(vacf, dt_eff, unit='A_fs', average_tail_frac=0.2):\n", " \"\"\"\n", " Green–Kubo over exactly the VACF window provided (length = max_lag+1).\n", "\n", " vacf : array_like\n", " Unnormalized VACF C(t) with shape (max_lag+1,).\n", " dt_eff : float\n", " Effective sampling step of C(t). If you kept 1 in every `stride` frames,\n", " dt_eff = dt * stride (same time units used in VACF).\n", " unit : {'A_fs', 'au'}\n", " 'A_fs' -> Å^2/fs; 'au' -> a0^2/τ (needs globals a0 [cm], t_au [s]).\n", " average_tail_frac : float in (0,1]\n", " Fraction of the tail over which to average D(t) for a stable estimate.\n", "\n", " Returns\n", " -------\n", " D_running_cm2_s : np.ndarray # running D(t) up to max_lag, in cm^2/s\n", " D_cm2_s : float # average over the last `average_tail_frac` of D(t)\n", " integral_native : np.ndarray # ∫ C dt in native units (for debugging)\n", " \"\"\"\n", " v = np.asarray(vacf, dtype=float)\n", " # cumulative integral on [0 .. max_lag] exactly\n", " integral = np.concatenate([[0.0], cumulative_trapezoid(v, dx=dt_eff)])\n", " D_native = integral / 3.0 # same native units as v * time\n", "\n", " # convert to cm^2/s\n", " if unit == 'A_fs':\n", " D_running_cm2_s = D_native * 0.1 # 1 Å^2/fs = 0.1 cm^2/s\n", " elif unit == 'au':\n", " D_running_cm2_s = D_native * (a0**2) / t_au\n", " else:\n", " raise ValueError(\"unit must be 'A_fs' or 'au'\")\n", "\n", " # average the tail for robustness\n", " n = len(D_running_cm2_s)\n", " start = max(1, int(np.floor(n * (1.0 - float(average_tail_frac)))))\n", " D_cm2_s = float(np.nanmean(D_running_cm2_s[start:]))\n", "\n", " return D_running_cm2_s, D_cm2_s, integral\n", "\n", "\n", "def plot_vacf_and_D(vacf_norm, D_t_cm2_s, dt, unit='A_fs'):\n", " t = np.arange(vacf_norm.size, dtype=float) * dt\n", " if unit == 'A_fs':\n", " t_axis = t * 1e-3 # fs -> ps\n", " t_label = \"Time [ps]\"\n", " else:\n", " t_axis = t # atomic time units\n", " t_label = \"Time [a.u.]\"\n", "\n", " # VACF*\n", " plt.figure()\n", " plt.plot(t_axis, vacf_norm)\n", " plt.axhline(0, linestyle='--')\n", " plt.xlabel(t_label)\n", " plt.ylabel(r\"$\\langle v(0)\\cdot v(t)\\rangle / \\langle v(0)^2\\rangle$\")\n", " plt.title(\"Velocity autocorrelation function\")\n", " plt.tight_layout()\n", "\n", " # D(t)\n", " plt.figure()\n", " plt.plot(t_axis, D_t_cm2_s)\n", " plt.xlabel(t_label)\n", " plt.ylabel(\"D(t) [cm$^2$/s]\")\n", " plt.title(\"Green–Kubo running diffusion\")\n", " plt.tight_layout()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`max_lag` is the maximum number of time lags \\( $\\tau$ \\) for which the correlation is computed:\n", "\n", "$C(\\tau) = \\frac{1}{N_p}\\sum_i \\langle \\mathbf{v}_i(t) \\cdot \\mathbf{v}_i(t+\\tau) \\rangle$\n", "\n", "\n", "If you have `nsteps` samples, the average for each \\(\\tau\\) is taken over `nsteps - tau` time origins. \n", "When \\(\\tau\\) becomes large, fewer samples are available, and the noise increases.\n", "\n", "By default, `max_lag = nsteps - 1`, meaning the VACF is computed over the entire trajectory. \n", "However, the last portion of the curve is usually noisy and not statistically meaningful.\n", "\n", "---\n", "\n", "### Practical effect\n", "\n", "- **Increasing `max_lag`** → extends the analysis to longer times, but the VACF becomes noisier. \n", "- **Decreasing `max_lag`** → cuts the correlation earlier, improving statistical quality but losing long-time information.\n", "\n", "The maximum physical correlation time is:\n", "t_max = max_lag x dt" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "D = 7.933e-06 cm^2/s\n" ] }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vacf_norm, vacf = compute_vacf(v, max_lag=2000, remove_drift=True)\n", "D_t_cm2_s, D_cm2_s, _ = diffusion_from_vacf_cm2s(vacf, unit=, dt_eff=dt * stride) # uses global dt, a0, t_au\n", "plot_vacf_and_D(vacf_norm, D_t_cm2_s, dt * stride, unit='au')\n", "print(f\"D = {D_cm2_s:.3e} cm^2/s\")" ] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.10.11" } }, "nbformat": 4, "nbformat_minor": 2 }