1754 lines
1.2 MiB
1754 lines
1.2 MiB
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import sympy as sp\n",
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"import qutip as qt\n",
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"import matplotlib.pyplot as plt\n",
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"from scipy import constants as const\n",
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"from scipy.optimize import minimize_scalar\n",
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"\n",
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"#add relative path to backend\n",
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"import sys\n",
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"sys.path.append('../../clean_diag/backend')\n",
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"\n",
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"import trap_units as si\n",
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"from boson_helpers import*"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [],
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"source": [
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"def solve_hub(J,U,Delta,mu,V,DeltaJ,tau,\n",
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" N_steps=1000, initial_occ=[1,1]):\n",
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" \"\"\"\n",
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" Solves and evolves (duration of tau) the Hubbard-Hamiltonian for the given\n",
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" parameters and ramping. Input parameters as angular frequencies and U,Delta\n",
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" as tuple of start and end value.\n",
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" \"\"\"\n",
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" # Maximum boson number per site (Hilbert space dimension d = Nmax+1)\n",
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" Nmax = initial_occ[0] + initial_occ[1]\n",
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" d = Nmax + 1\n",
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"\n",
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" # --- Define Operators ---\n",
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" # Single-site bosonic operators in the truncated Fock space\n",
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" a = qt.destroy(d)\n",
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" adag = a.dag()\n",
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" n_op = adag * a\n",
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"\n",
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" # --- Construct Hamiltonian ---\n",
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" # Hopping term: -J (a† ⊗ a + a ⊗ a†)\n",
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" H_hop = -J* (qt.tensor(adag, a) + qt.tensor(a, adag))\n",
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"\n",
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" # Interaction term: (U/2) * [n(n-1)] on each site\n",
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" # We subtract the identity appropriately to compute n(n-1)\n",
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" H_int = 0.5*(qt.tensor(n_op * (n_op - qt.qeye(d)), qt.qeye(d)) +\n",
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" qt.tensor(qt.qeye(d), n_op * (n_op - qt.qeye(d))))\n",
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" # Define the time-dependent function for the interaction\n",
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" def int_func(t, args):\n",
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" return args['U0']+ (args['U1']-args['U0'])* t/args['tau']\n",
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" int_args = {'U0': U[0], 'U1': U[1], 'tau': tau}\n",
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" \n",
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" # Chemical potential term (if desired)\n",
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" H_mu = -mu* (qt.tensor(n_op, qt.qeye(d)) + qt.tensor(qt.qeye(d), n_op))\n",
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"\n",
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" #tilt potential\n",
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" H_tilt = (1*qt.tensor(n_op, qt.qeye(d)) + 2*qt.tensor(qt.qeye(d), n_op))\n",
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" # Define the time-dependent function for the tilt\n",
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" def tilt_func(t, args):\n",
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" return args['D0']+ (args['D1']-args['D0'])* t/args['tau']\n",
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" tilt_args = {'D0': Delta[0], 'D1': Delta[1], 'tau': tau}\n",
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"\n",
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" #nearest neighbour interaction\n",
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" H_nni = V* qt.tensor(n_op, qt.qeye(d)) * qt.tensor(qt.qeye(d), n_op)\n",
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"\n",
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" #density induced tunneling\n",
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" H_dit = -DeltaJ* (qt.tensor(adag,a)* (qt.tensor(n_op,qt.qeye(d)) + qt.tensor(n_op,qt.qeye(d)) - 1) +\n",
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" qt.tensor(a,adag)* (qt.tensor(n_op,qt.qeye(d)) + qt.tensor(n_op,qt.qeye(d)) - 1))\n",
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"\n",
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"\n",
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" # Total Hamiltonian\n",
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" H_static = H_hop + H_mu + H_nni + H_dit\n",
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" H = [H_static, [H_int, int_func],[H_tilt, tilt_func]]\n",
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" \n",
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"\n",
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"\n",
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" # --- Define Initial State ---\n",
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" # The product Fock state |1,1> (one boson per site)\n",
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" psi0 = qt.tensor(qt.basis(d, initial_occ[0]), qt.basis(d, initial_occ[1]))\n",
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"\n",
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" # --- Time Evolution Setup ---\n",
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" tlist = np.linspace(0, tau, N_steps) # Evolve from time 0 to 5 in 101 steps\n",
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"\n",
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" # We want to monitor the number operator expectation values at each site.\n",
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" e_ops = [qt.tensor(n_op, qt.qeye(d)), qt.tensor(qt.qeye(d), n_op)]\n",
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"\n",
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" # Create an Options object with store_states=True\n",
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" #opts = qt.Options(store_states=True, nsteps=10000)\n",
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" opts = {\"store_states\": True, \"nsteps\": 10000}\n",
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"\n",
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" # Run the evolution and store the full state history\n",
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" result = qt.sesolve(H, psi0, tlist, e_ops=e_ops, options=opts,\n",
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" args=int_args | tilt_args)\n",
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" \n",
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" return tlist, result"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
|
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"# Import results from diagonalisation"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [],
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"source": [
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"start_line = 338\n",
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"end_line = start_line\n",
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"\n",
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"n_lines = end_line - start_line + 1\n",
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"lines = np.arange(start_line,end_line+1,dtype=int)\n",
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"state_nrs = np.zeros((n_lines,2),dtype=int)\n",
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"state_nrs[:,1] = 1\n",
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"\n",
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"degeneracy = np.full(n_lines, True, dtype=bool)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"line: 338\n",
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"separation: 0.7454 um\n"
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]
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},
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{
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"data": {
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 600x400 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"for i, line in enumerate(lines):\n",
|
|
" state0 = state_nrs[i,0]\n",
|
|
" state1 = state_nrs[i,1]\n",
|
|
" \n",
|
|
" trap, func_ham, res = import_results(line)\n",
|
|
" GS_left_1, GS_right_1 = get_localised_GS(res[\"states\"][state0],\n",
|
|
" res[\"states\"][state1],\n",
|
|
" degenerate=degeneracy[i])\n",
|
|
" \n",
|
|
" print(f\"line: {line}\")\n",
|
|
" print(f\"separation: {trap.subs(trap.distance_tweezers)/si.um:.4f} um\")\n",
|
|
"\n",
|
|
" #plot wavefunctions\n",
|
|
" n_states = 2\n",
|
|
"\n",
|
|
" states_plot = [GS_left_1.real, GS_right_1.real]\n",
|
|
" #states_plot = [res[\"states\"][state0].real, res[\"states\"][state1].real]\n",
|
|
" #states_plot = np.angle(states)\n",
|
|
" #states_plot = states.imag\n",
|
|
" #states_plot = np.abs(states)**2\n",
|
|
"\n",
|
|
" # Create a 1xn_states grid of subplots (1 row, n_states columns)\n",
|
|
" fig, axes = plt.subplots(1, n_states, figsize=(6, 4)) # Adjust the size as needed\n",
|
|
"\n",
|
|
" # Loop over the state numbers from 0 to n_states-1\n",
|
|
" for state_number, ax in zip(range(n_states), axes):\n",
|
|
" # Slice through the y-direction and rotate the x-z plane (by swapping x and z)\n",
|
|
" im = ax.imshow(states_plot[state_number][:, int(res[\"size\"][1]/2), :].T,\n",
|
|
" extent=[*res[\"extend\"][0], *res[\"extend\"][2]], origin=\"lower\",\n",
|
|
" vmin=np.min(states_plot[state_number]), vmax=np.max(states_plot[state_number]))\n",
|
|
"\n",
|
|
" # Set labels for each subplot\n",
|
|
" ax.set_xlabel(\"x\")\n",
|
|
" ax.set_ylabel(\"z\")\n",
|
|
" ax.set_title(f\"State {state_number}\")\n",
|
|
" fig.colorbar(im, ax=ax) \n",
|
|
"\n",
|
|
" # Adjust layout for better spacing\n",
|
|
" plt.tight_layout()\n",
|
|
" plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"frequencies = np.zeros_like(lines,dtype=float)\n",
|
|
"distance = np.zeros_like(lines,dtype=float)\n",
|
|
"J = np.zeros_like(lines,dtype=float)\n",
|
|
"#tilt = np.zeros_like(lines,dtype=float)\n",
|
|
"U_s = np.zeros_like(lines,dtype=float)\n",
|
|
"U_dds = np.zeros((len(lines),50),dtype=float)\n",
|
|
"angles = np.zeros((len(lines),50),dtype=float)\n",
|
|
"V_lrs = np.zeros((len(lines),50),dtype=float)\n",
|
|
"DeltaJs = np.zeros((len(lines),50),dtype=float)\n",
|
|
"\n",
|
|
"E_exc = np.zeros_like(lines,dtype=float)\n",
|
|
"E_barr = np.zeros_like(lines,dtype=float)\n",
|
|
"\n",
|
|
"for i, line in enumerate(lines):\n",
|
|
" state0 = state_nrs[i,0]\n",
|
|
" state1 = state_nrs[i,1]\n",
|
|
"\n",
|
|
" trap, func_ham, res = import_results(line)\n",
|
|
" GS_left_1, GS_right_1 = get_localised_GS(res[\"states\"][state0],\n",
|
|
" res[\"states\"][state1],\n",
|
|
" degenerate=degeneracy[i])\n",
|
|
" \n",
|
|
" frequencies[i] = float(trap.subs(sp.sqrt(2*trap.power_tweezer1*trap.a/sp.pi/trap.m) * 2/trap.waist_tweezer1**2))\n",
|
|
" distance[i] = float(trap.subs(trap.distance_tweezers))\n",
|
|
" J[i], U_s[i], U_dds[i], angles[i], V_lrs[i], DeltaJs[i] = analyse_diagonalisation(line,\n",
|
|
" state_nr0=state0,\n",
|
|
" state_nr1=state1,\n",
|
|
" degenerate=degeneracy[i],\n",
|
|
" n_angles=20)\n",
|
|
" \n",
|
|
" #estimate energies of 0th and 1st state\n",
|
|
" E0 = 0.5*(res[\"energies\"][0] + res[\"energies\"][1])\n",
|
|
" E1 = 0.5*(res[\"energies\"][2] + res[\"energies\"][3])\n",
|
|
" E_exc[i] = E1-E0\n",
|
|
"\n",
|
|
" #estimate heigth of barrier\n",
|
|
" V = trap.subs(trap.get_potential(apply_zero_offset=False))\n",
|
|
" a = float(trap.subs(trap.distance_tweezers))\n",
|
|
"\n",
|
|
" #find minima of potential\n",
|
|
" def V_func(x):\n",
|
|
" return float(V.subs({trap.x:x, trap.y:0, trap.z:0}))\n",
|
|
"\n",
|
|
" x_right = minimize_scalar(V_func,bracket=[0,a]).x\n",
|
|
" x_left = minimize_scalar(V_func,bracket=[-a,0]).x\n",
|
|
"\n",
|
|
" #catch case where both potentials have already merged\n",
|
|
" tunneling_dist = abs(x_right-x_left)\n",
|
|
" if tunneling_dist < 1e-15:\n",
|
|
" raise Exception(\"potential has only one minmum\")\n",
|
|
"\n",
|
|
" #depts of both tweezers\n",
|
|
" V_1 = abs(V_func(x_left) - V_func(0))\n",
|
|
" V_2 = abs(V_func(x_right) - V_func(0)) \n",
|
|
"\n",
|
|
" E_barr[i] = np.max([V_1,V_2])\n",
|
|
"\n",
|
|
" # these states are basically 1 tweezer\n",
|
|
" if state1 !=1:\n",
|
|
" J[i] = np.nan\n",
|
|
" U_s[i] = np.nan\n",
|
|
" U_dds[i] = np.nan\n",
|
|
" V_lrs[i] = np.nan\n",
|
|
" DeltaJs[i] = np.nan\n",
|
|
" E_exc[i] = np.nan\n",
|
|
" E_barr[i] = np.nan"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"d = [745.43444684] nm\n",
|
|
"omega_x = [50000.] Hz\n",
|
|
"J = [10.32670994] Hz\n",
|
|
"U_s (at a_s=85a_0) = [1258.25386365] Hz\n",
|
|
"E_exc = [6875.56532084] Hz\n",
|
|
"E_barr = [40535.07317535] Hz\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
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"<Figure size 1500x500 with 3 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"print(f\"d = {distance/si.nm} nm\")\n",
|
|
"print(f\"omega_x = {frequencies/2/np.pi} Hz\")\n",
|
|
"print(f\"J = {J/const.h} Hz\")\n",
|
|
"print(f\"U_s (at a_s=85a_0) = {U_s/const.h} Hz\")\n",
|
|
"print(f\"E_exc = {E_exc/const.h} Hz\")\n",
|
|
"print(f\"E_barr = {E_barr/const.h} Hz\")\n",
|
|
"\n",
|
|
"# Create figure with subplots\n",
|
|
"fig, axes = plt.subplots(1, 3, figsize=(15, 5))#, sharex=True)\n",
|
|
"\n",
|
|
"for i, line in enumerate(lines):\n",
|
|
" # Plot U_dd\n",
|
|
" axes[0].plot(np.rad2deg(angles[i]), U_dds[i]/const.h,label=f\"{line}\")\n",
|
|
" axes[0].axhline(0, color=\"black\", ls=\"--\")\n",
|
|
" axes[0].set_xlabel(r\"$\\theta$ [deg]\")\n",
|
|
" axes[0].set_ylabel(r\"$U_{dd} / h$ [Hz]\")\n",
|
|
" axes[0].grid()\n",
|
|
"\n",
|
|
" # Plot NNI\n",
|
|
" axes[1].plot(np.rad2deg(angles[i]), V_lrs[i]/const.h,label=f\"{line}\")\n",
|
|
" axes[1].axhline(0, color=\"black\", ls=\"--\")\n",
|
|
" axes[1].set_xlabel(r\"$\\theta$ [deg]\")\n",
|
|
" axes[1].set_ylabel(r\"$V_{lr} / h$ [Hz]\")\n",
|
|
" axes[1].grid()\n",
|
|
"\n",
|
|
" # Plot DIT\n",
|
|
" axes[2].plot(np.rad2deg(angles[i]), DeltaJs[i]/const.h,label=f\"{line}\")\n",
|
|
" axes[2].axhline(0, color=\"black\", ls=\"--\")\n",
|
|
" axes[2].set_xlabel(r\"$\\theta$ [deg]\")\n",
|
|
" axes[2].set_ylabel(r\"$\\Delta J / h$ [Hz]\")\n",
|
|
" axes[2].grid()\n",
|
|
"\n",
|
|
" # Customize ticks for all subplots\n",
|
|
" for ax in axes:\n",
|
|
" ax.tick_params(axis='both', which='both', direction='in', length=5) # Tick marks inside\n",
|
|
" ax.tick_params(axis='both', which='major', length=7) # Major ticks longer\n",
|
|
" ax.tick_params(axis='both', which='minor', length=4) # Minor ticks shorter\n",
|
|
" ax.minorticks_on() # Enable minor ticks\n",
|
|
"\n",
|
|
"# Adjust layout and show the plot\n",
|
|
"plt.tight_layout()\n",
|
|
"plt.savefig(\"example_params.png\",dpi=300)\n",
|
|
"plt.show()\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"31.22448979591837"
|
|
]
|
|
},
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"np.rad2deg(angles[0,np.argmin(np.abs(V_lrs))])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"array([481.47189299])"
|
|
]
|
|
},
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"U_s*85/85/const.h + U_dds[0,np.argmin(np.abs(V_lrs))]/const.h"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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",
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"text/plain": [
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"<Figure size 800x500 with 1 Axes>"
|
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]
|
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},
|
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"metadata": {},
|
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"output_type": "display_data"
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}
|
|
],
|
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"source": [
|
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"tunneling_factor = np.logspace(-1,2,45)\n",
|
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"tunneling_time = np.zeros_like(tunneling_factor)\n",
|
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"fidelity = np.zeros_like(tunneling_factor)\n",
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"\n",
|
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"for i, fac in enumerate(tunneling_factor):\n",
|
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" n = 6\n",
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"\n",
|
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" initial_occ=np.array([n-1,1])\n",
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"\n",
|
|
" #maximum energy scale for ramp\n",
|
|
" #assuming that staying below 25% of the 1st excited state is enough\n",
|
|
" #and the contact scattering length can be tuned from 0 to 3.5* 85a0\n",
|
|
" limits = np.array([E_exc[0]/10,\n",
|
|
" E_barr[0]/10,\n",
|
|
" U_s[0]*3.5 + np.max(U_dds)])\n",
|
|
" E_max = np.min(limits)/const.hbar\n",
|
|
"\n",
|
|
" # --- Parameters ---\n",
|
|
" J_freq = J[0]/const.hbar # Hopping amplitude\n",
|
|
" U = (E_max/n, E_max/n) # On-site interaction strength\n",
|
|
"\n",
|
|
" mu = 0.0 # Chemical potential (set to zero for simplicity)\n",
|
|
" V = V_lrs[0,np.argmin(np.abs(V_lrs))]/const.hbar # nearest neighbour interaction energy (due to DDI)\n",
|
|
" DeltaJ = DeltaJs[0,np.argmin(np.abs(V_lrs))]/const.hbar # density induced tunneling\n",
|
|
" # V = V_lrs.max()/const.hbar # nearest neighbour interaction energy (due to DDI)\n",
|
|
" # DeltaJ = DeltaJs.max()/const.hbar # density induced tunneling\n",
|
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"\n",
|
|
" Delta = ((n-2)*U[0]- (n-2)*V, n*U[0]) #tilt\n",
|
|
"\n",
|
|
" tau = 2*np.pi/J_freq *fac #take 10 times the time scale set by J for evolution\n",
|
|
" N_steps = int(1e3) #number of timesteps\n",
|
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"\n",
|
|
" # print(f\"J: {J_freq/2/np.pi:.2f} Hz\")\n",
|
|
" # print(f\"max. tilt: {E_max/2/np.pi:.2f} Hz, {limits/const.h}\")\n",
|
|
" # print(f\"V: {V/2/np.pi:.2f} Hz\")\n",
|
|
" # print(f\"DeltaJ: {DeltaJ/2/np.pi:.2f} Hz\")\n",
|
|
" # print(f\"ramp time: {tau/si.ms:.3f} ms\")\n",
|
|
"\n",
|
|
" tlist, result = solve_hub(J_freq,U,Delta, mu,V,DeltaJ,tau,N_steps=N_steps,\n",
|
|
" initial_occ=initial_occ)\n",
|
|
"\n",
|
|
" d= n + 1\n",
|
|
"\n",
|
|
" # --- Extracting and Plotting State Vector Components ---\n",
|
|
" # Create an array of states; each state is flattened into a 1D array of length d^2\n",
|
|
" states = np.array([state.full().flatten() for state in result.states])\n",
|
|
" # Compute probabilities: squared magnitude of each component\n",
|
|
" probs = np.abs(states)**2\n",
|
|
"\n",
|
|
" # Create labels for each basis state in the two-site Fock space\n",
|
|
" basis_labels = [f\"|{n0},{n1}>\" for n0 in range(d) for n1 in range(d)]\n",
|
|
" # Create a list of corresponding total particle numbers for each basis state\n",
|
|
" total_particles = [n0 + n1 for n0 in range(d) for n1 in range(d)]\n",
|
|
"\n",
|
|
" # Filter indices for basis states with exactly 2 particles\n",
|
|
" indices_2particles = [idx for idx, tot in enumerate(total_particles) if tot == np.sum(initial_occ)]\n",
|
|
" labels_2particles = [basis_labels[idx] for idx in indices_2particles]\n",
|
|
"\n",
|
|
" #fidelity as the probability for |2,0> in the last 10% of steps\n",
|
|
" #calculate fidelity\n",
|
|
" fid = np.mean(probs[int(0.9*len(tlist)):,indices_2particles[-1]])\n",
|
|
" #print(fid)\n",
|
|
" tunneling_time[i] = tau\n",
|
|
" fidelity[i] = fid\n",
|
|
"\n",
|
|
"# Main plot\n",
|
|
"fig, ax = plt.subplots(figsize=(8, 5))\n",
|
|
"ax.plot(tunneling_factor, fidelity)\n",
|
|
"ax.set_xscale(\"log\")\n",
|
|
"ax.set_ylim(0,1)\n",
|
|
"ax.set_xlabel(r\"$t/(2\\pi/J)$\")\n",
|
|
"ax.set_ylabel(\"Fidelity\")\n",
|
|
"ax.grid(True, which=\"both\", linestyle=\"--\", alpha=0.6)\n",
|
|
"\n",
|
|
"# Add top axis with tick locations from tunneling_factor and labels from tunneling_time\n",
|
|
"secax = ax.secondary_xaxis('top')\n",
|
|
"secax.set_xticks(tunneling_factor[::4])\n",
|
|
"secax.set_xticklabels([f\"{t*1e3:.1f}\" for t in tunneling_time[::4]])\n",
|
|
"secax.set_xlabel(\"Tunneling time [ms]\")\n",
|
|
"\n",
|
|
"plt.tight_layout()\n",
|
|
"plt.savefig(\"fid_vs_time.png\", dpi=300)\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
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"text/plain": [
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"<Figure size 800x500 with 1 Axes>"
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
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}
|
|
],
|
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"source": [
|
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"tunneling_factor = np.linspace(0.71,1,10)\n",
|
|
"tunneling_J = np.zeros_like(tunneling_factor)\n",
|
|
"tunneling_time = np.zeros_like(tunneling_factor)\n",
|
|
"fidelity = np.zeros_like(tunneling_factor)\n",
|
|
"\n",
|
|
"for i, fac in enumerate(tunneling_factor):\n",
|
|
" n = 6\n",
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"\n",
|
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" initial_occ=np.array([n-1,1])\n",
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|
"\n",
|
|
" #maximum energy scale for ramp\n",
|
|
" #assuming that staying below 25% of the 1st excited state is enough\n",
|
|
" #and the contact scattering length can be tuned from 0 to 3.5* 85a0\n",
|
|
" limits = np.array([E_exc[0]/10,\n",
|
|
" E_barr[0]/10,\n",
|
|
" U_s[0]*3.5 + np.max(U_dds)])\n",
|
|
" E_max = np.min(limits)/const.hbar\n",
|
|
"\n",
|
|
" # --- Parameters ---\n",
|
|
" J_freq = J[0]/const.hbar *fac # Hopping amplitude\n",
|
|
" U = (E_max/n, E_max/n) # On-site interaction strength\n",
|
|
"\n",
|
|
" mu = 0.0 # Chemical potential (set to zero for simplicity)\n",
|
|
" V = V_lrs[0,np.argmin(np.abs(V_lrs))]/const.hbar # nearest neighbour interaction energy (due to DDI)\n",
|
|
" DeltaJ = DeltaJs[0,np.argmin(np.abs(V_lrs))]/const.hbar # density induced tunneling\n",
|
|
" # V = V_lrs.max()/const.hbar # nearest neighbour interaction energy (due to DDI)\n",
|
|
" # DeltaJ = DeltaJs.max()/const.hbar # density induced tunneling\n",
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"\n",
|
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" Delta = ((n-2)*U[0]- (n-2)*V, n*U[0]) #tilt\n",
|
|
"\n",
|
|
" tau = 2*np.pi/J_freq *10 #take 10 times the time scale set by J for evolution\n",
|
|
" N_steps = int(1e3) #number of timesteps\n",
|
|
"\n",
|
|
" # print(f\"J: {J_freq/2/np.pi:.2f} Hz\")\n",
|
|
" # print(f\"max. tilt: {E_max/2/np.pi:.2f} Hz, {limits/const.h}\")\n",
|
|
" # print(f\"V: {V/2/np.pi:.2f} Hz\")\n",
|
|
" # print(f\"DeltaJ: {DeltaJ/2/np.pi:.2f} Hz\")\n",
|
|
" # print(f\"ramp time: {tau/si.ms:.3f} ms\")\n",
|
|
"\n",
|
|
" tlist, result = solve_hub(J_freq,U,Delta, mu,V,DeltaJ,tau,N_steps=N_steps,\n",
|
|
" initial_occ=initial_occ)\n",
|
|
"\n",
|
|
" d= n + 1\n",
|
|
"\n",
|
|
" # --- Extracting and Plotting State Vector Components ---\n",
|
|
" # Create an array of states; each state is flattened into a 1D array of length d^2\n",
|
|
" states = np.array([state.full().flatten() for state in result.states])\n",
|
|
" # Compute probabilities: squared magnitude of each component\n",
|
|
" probs = np.abs(states)**2\n",
|
|
"\n",
|
|
" # Create labels for each basis state in the two-site Fock space\n",
|
|
" basis_labels = [f\"|{n0},{n1}>\" for n0 in range(d) for n1 in range(d)]\n",
|
|
" # Create a list of corresponding total particle numbers for each basis state\n",
|
|
" total_particles = [n0 + n1 for n0 in range(d) for n1 in range(d)]\n",
|
|
"\n",
|
|
" # Filter indices for basis states with exactly 2 particles\n",
|
|
" indices_2particles = [idx for idx, tot in enumerate(total_particles) if tot == np.sum(initial_occ)]\n",
|
|
" labels_2particles = [basis_labels[idx] for idx in indices_2particles]\n",
|
|
"\n",
|
|
" #fidelity as the probability for |2,0> in the last 10% of steps\n",
|
|
" #calculate fidelity\n",
|
|
" fid = np.mean(probs[int(0.9*len(tlist)):,indices_2particles[-1]])\n",
|
|
" #print(fid)\n",
|
|
" tunneling_J[i] = J_freq*const.hbar\n",
|
|
" tunneling_time[i] = tau\n",
|
|
"\n",
|
|
" fidelity[i] = fid\n",
|
|
"\n",
|
|
"# Main plot\n",
|
|
"fig, ax = plt.subplots(figsize=(8, 5))\n",
|
|
"ax.plot(tunneling_J/const.h, fidelity)\n",
|
|
"ax.set_xscale(\"linear\")\n",
|
|
"ax.set_ylim(0.95,1)\n",
|
|
"ax.set_xlabel(r\"$J/h$\")\n",
|
|
"ax.set_ylabel(\"Fidelity\")\n",
|
|
"#ax.grid(True, which=\"both\", linestyle=\"--\", alpha=0.6)\n",
|
|
"ax.grid()\n",
|
|
"\n",
|
|
"# Add top axis with tick locations from tunneling_factor and labels from tunneling_time\n",
|
|
"secax = ax.secondary_xaxis('top')\n",
|
|
"secax.set_xticks(tunneling_J[::]/const.h)\n",
|
|
"secax.set_xticklabels([f\"{t:.2f}\" for t in tunneling_time[::]])\n",
|
|
"secax.set_xlabel(\"Tunneling time [s]\")\n",
|
|
"\n",
|
|
"plt.tight_layout()\n",
|
|
"plt.savefig(\"fid_vs_J.png\", dpi=300)\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Ramping scheme for different populations:\n",
|
|
"\n",
|
|
"The energy levels are shifted by the NNI ($V\\cdot n_{left}n_{right}$) and we have to account for this in ramping.\n",
|
|
"\n",
|
|
"The initial tilt is now shifted by the average shift of the transitions |n-1,1> -> |n,0> and |n-2,2> -> |n-1,1>, which is $V\\cdot (n-2)$\n",
|
|
"\n",
|
|
"## N=2"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 52,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"d: 745.43 nm\n",
|
|
"omega_x: 50000.00 Hz\n",
|
|
"J: 10.33 Hz\n",
|
|
"limits set by: 1st excited state = 687.56 Hz, barrier = 4053.51 Hz, interactions = 4310.78 Hz\n",
|
|
"=> max. tilt/interaction: 687.56 Hz\n",
|
|
"J/U = 0.0300\n",
|
|
"V: -0.17 Hz\n",
|
|
"DeltaJ: -0.55 Hz\n",
|
|
"ramp time: 968.363 ms\n",
|
|
"fidelity: 0.99612\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
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",
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"text/plain": [
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"<Figure size 1800x500 with 3 Axes>"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
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"n = 2\n",
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"\n",
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"initial_occ=np.array([n-1,1])\n",
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"\n",
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"#maximum energy scale for ramp\n",
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"#assuming that staying below 25% of the 1st excited state is enough\n",
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"#and the contact scattering length can be tuned from 0 to 3.5* 85a0\n",
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"limits = np.array([E_exc[0]/10,\n",
|
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" E_barr[0]/10,\n",
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" U_s[0]*3.5 + np.max(U_dds)])\n",
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"E_max = np.min(limits)/const.hbar\n",
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"\n",
|
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"# --- Parameters ---\n",
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"J_freq = J[0]/const.hbar # Hopping amplitude\n",
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"U = (E_max/n, E_max/n) # On-site interaction strength\n",
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"\n",
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"mu = 0.0 # Chemical potential (set to zero for simplicity)\n",
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"V = V_lrs[0,np.argmin(np.abs(V_lrs))]/const.hbar # nearest neighbour interaction energy (due to DDI)\n",
|
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"DeltaJ = DeltaJs[0,np.argmin(np.abs(V_lrs))]/const.hbar # density induced tunneling\n",
|
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"# V = V_lrs.max()/const.hbar # nearest neighbour interaction energy (due to DDI)\n",
|
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"# DeltaJ = DeltaJs.max()/const.hbar # density induced tunneling\n",
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"\n",
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"Delta = ((n-2)*U[0]- (n-2)*V, n*U[0]) #tilt\n",
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"\n",
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"\n",
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"\n",
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"tau = 2*np.pi/J_freq *10 #take 10 times the time scale set by J for evolution\n",
|
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"N_steps = int(1e3) #number of timesteps\n",
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"\n",
|
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"print(f\"d: {distance[0]/si.nm:.2f} nm\")\n",
|
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"print(f\"omega_x: {frequencies[0]/2/np.pi:.2f} Hz\")\n",
|
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"print(f\"J: {J_freq/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"limits set by: 1st excited state = {limits[0]/const.h:.2f} Hz, barrier = {limits[1]/const.h:.2f} Hz, interactions = {limits[2]/const.h:.2f} Hz\")\n",
|
|
"print(f\"=> max. tilt/interaction: {E_max/2/np.pi:.2f} Hz\")\n",
|
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"print(f\"J/U = {J_freq/U[0]:.4f}\")\n",
|
|
"print(f\"V: {V/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"DeltaJ: {DeltaJ/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"ramp time: {tau/si.ms:.3f} ms\")\n",
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"\n",
|
|
"tlist, result = solve_hub(J_freq,U,Delta, mu,V,DeltaJ,tau,N_steps=N_steps,\n",
|
|
" initial_occ=initial_occ)\n",
|
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"\n",
|
|
"d= n + 1\n",
|
|
"\n",
|
|
"# --- Extracting and Plotting State Vector Components ---\n",
|
|
"# Create an array of states; each state is flattened into a 1D array of length d^2\n",
|
|
"states = np.array([state.full().flatten() for state in result.states])\n",
|
|
"# Compute probabilities: squared magnitude of each component\n",
|
|
"probs = np.abs(states)**2\n",
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|
"\n",
|
|
"# Create labels for each basis state in the two-site Fock space\n",
|
|
"basis_labels = [f\"|{n0},{n1}>\" for n0 in range(d) for n1 in range(d)]\n",
|
|
"# Create a list of corresponding total particle numbers for each basis state\n",
|
|
"total_particles = [n0 + n1 for n0 in range(d) for n1 in range(d)]\n",
|
|
"\n",
|
|
"# Filter indices for basis states with exactly 2 particles\n",
|
|
"indices_2particles = [idx for idx, tot in enumerate(total_particles) if tot == np.sum(initial_occ)]\n",
|
|
"labels_2particles = [basis_labels[idx] for idx in indices_2particles]\n",
|
|
"\n",
|
|
"#fidelity as the probability for |2,0> in the last 10% of steps\n",
|
|
"#calculate fidelity\n",
|
|
"fid = np.mean(probs[int(0.9*len(tlist)):,indices_2particles[-1]])\n",
|
|
"print(f\"fidelity: {fid:.5f}\")\n",
|
|
"\n",
|
|
"#alternatively with ratio Delta/U\n",
|
|
"interactions = np.linspace(U[0],U[1],len(tlist))\n",
|
|
"tilt = np.linspace(Delta[0],Delta[1],len(tlist))\n",
|
|
"ratio = tilt/interactions\n",
|
|
"\n",
|
|
"fig, axs = plt.subplots(1, 3, figsize=(18, 5))\n",
|
|
"\n",
|
|
"# --- Plot 1: Probability of 2-particle basis states ---\n",
|
|
"for idx, label in zip(indices_2particles, labels_2particles):\n",
|
|
" axs[0].plot(ratio[:int(1*len(tlist))], probs[:, idx][:int(1*len(tlist))], label=label)\n",
|
|
"axs[0].set_xscale(\"log\")\n",
|
|
"axs[0].set_xlim(0.5,2)\n",
|
|
"axs[0].set_xlabel(r'$\\Delta /U$ []')\n",
|
|
"axs[0].set_ylabel('Probability')\n",
|
|
"axs[0].set_title(f'{n}-Particle Basis State Probabilities')\n",
|
|
"axs[0].legend()\n",
|
|
"axs[0].grid(which=\"both\")\n",
|
|
"\n",
|
|
"# --- Plot 2: Occupation number vs time ---\n",
|
|
"axs[1].plot(tlist, result.expect[0], label='Site 0')\n",
|
|
"axs[1].plot(tlist, result.expect[1], label='Site 1')\n",
|
|
"axs[1].set_ylim(-0.2,6.2)\n",
|
|
"axs[1].set_xlabel('Time [s]')\n",
|
|
"axs[1].set_ylabel('Occupation number')\n",
|
|
"axs[1].set_title('Occupation Number Over Time')\n",
|
|
"axs[1].legend()\n",
|
|
"axs[1].grid(True)\n",
|
|
"\n",
|
|
"# --- Plot 3: Energies vs time ---\n",
|
|
"axs[2].plot(tlist, np.linspace(Delta[0]/2/np.pi, Delta[1]/2/np.pi, N_steps), label=\"tilt\")\n",
|
|
"\n",
|
|
"axs[2].plot(tlist, ((1*U[0] - 0*U[0])/2/np.pi +V*(2*0 - 1*1)/2/np.pi) *np.ones(N_steps), label=\"transition |11> -> |20>\")\n",
|
|
"\n",
|
|
"axs[2].set_ylim(bottom=0)\n",
|
|
"axs[2].set_xlabel('Time [s]')\n",
|
|
"axs[2].set_ylabel('energy/h [Hz]')\n",
|
|
"axs[2].set_title('parameter ramping')\n",
|
|
"axs[2].legend()\n",
|
|
"axs[2].grid(True)\n",
|
|
"\n",
|
|
"plt.tight_layout()\n",
|
|
"plt.show()\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## N=3"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 53,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"d: 745.43 nm\n",
|
|
"omega_x: 50000.00 Hz\n",
|
|
"J: 10.33 Hz\n",
|
|
"limits set by: 1st excited state = 687.56 Hz, barrier = 4053.51 Hz, interactions = 4310.78 Hz\n",
|
|
"=> max. tilt/interaction: 687.56 Hz\n",
|
|
"J/U = 0.0451\n",
|
|
"V: -0.17 Hz\n",
|
|
"DeltaJ: -0.55 Hz\n",
|
|
"ramp time: 968.363 ms\n",
|
|
"fidelity: 0.98888\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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btm1j8uTJnD59mnnz5t2WOgshhLg79ejRg969ezNkyBAOHDjA2LFjOXjwIH///bf64/Fjx47RpUsXhg8fjrOzM4cPH+a9995j+/btBe5zsrKyeOihhxg8eDCjRo1SA2QnTpygSZMmDBw4EHd3d06fPs306dNp3rw5+/btK/BD9d69e/PUU08xePBgoqKimDZtGmazmXXr1jF06FBee+01vv/+e9544w0qVKhAz549geI/09m2bRsPPvggbdq0YezYsQBq6sobvZbmf5ZYsWLFax7zZcuWsXnzZsaNG0dAQIB6P1Gc+1mbvXv3Mnr0aN58803c3d2ZOHEiPXv2ZPTo0fz+++9MmTIFjUbDG2+8oWZUy/uMzWw206VLF7Wdtm7dyuTJkzlz5gy//vrrdc4a67OoZs2a8dVXX5GUlMQbb7xB9+7dOXToEDqdDoA333yTqVOn8vzzz9OzZ0/OnTvHwIEDMZvNJXafK8RdTRHiHjR48GAFUADFYDAoc+bMKfa6/fr1U5ydnRWz2ayYzWYlLi5OmTlzpqLRaJQGDRoUuk52drZiNpuVtm3bKj169FDnnzp1SgGU8uXLK1lZWXbr7NixQwGUefPmFdje+PHjlbwfz5MnTyo6nU558sknr1v38PBwdXrbtm0KoHz44Yd25c6dO6c4OjoqI0eOvOb25s2bpx7HvP+MRuN1j2lOTo5iNpuVSZMmKd7e3orFYlEURVF+/vlnBVD27NlzzfUBZfz48ep0jRo1lEceeeSa6xQmIyNDeeSRR9S663Q6pW7dusqbb76pXLp0ya5s165d7Y7fje6boihK9erVlVatWhVYZ+rUqYpWq1V27NhhN992PFatWnXN9yzueRkeHq7odDrlyJEjduv36dNHMRqNytmzZ+3md+7cWXFyclISExMVRVGUDRs2KIBSr149u/06ffq0otfrlYEDBxZZx+zsbCUlJUVxdnZWZs6cqc63nUd5PxuKoih//vmnAiiTJ0+228/8bRAeHq7069dPnbZ9rvJ+dt5//30FUE6dOlWgXq1atbJrk0WLFimA8ssvv9iVs30mbed2cc9VIYQQihITE6MASp8+fa5Z7vHHH1cAJTY2VlEURXnwwQcVDw+PAtfkvAYMGKDo9Xrl4MGDRZaxXWvyXwds17UNGzao81q1aqUAyv/+9z+7soMGDVK0Wq1y5syZQt/jZq7/hV2zGjdurPj5+SnJycnqvOzsbKVGjRpKSEiIul3bPg0dOtRum9OmTVMAJTo6usjjoSi595NxcXHK5cuXFXd3d+XRRx9Vl4eHhytdu3ZVpws7VkXtQ79+/QpcS81ms+Lr66sAyq5du9T58fHxik6nU0aMGKHOK+69QWpqquLl5aV0797drlxOTo5Su3ZtpWHDhgX2d9y4cdc8LjYmk0lp3LjxNcu88cYbCqD8/fffiqIoyqxZsxTA7j7rypUritFoVF599VV1XseOHZWQkBDl6tWrdtt76aWXFJPJpFy5ckVRlNxj3rJly2LVOS/buj/99FORy/K25a222eDBgxUXF5cCn48PPvhAAZQDBw7c8D4IIYS499iux6+88ord/O+++04BlG+//bbQ9SwWi2I2m5VNmzYpgLJ37151me0a9vXXX1/zvW3bOHPmTIF7PVu98j8fq1OnjgIoS5YsUefZro89e/ZU593IMx1nZ2e7Zxg2xb2WXutZYlEAxd3dXb3HKMq17mfDw8MVR0dH5fz58+q8PXv2KIASGBiopKamqvOXLVumAMry5cvVebZ2yvs8SFEU5Z133lEAZcuWLXbvlfcY2e5dunTpYrfujz/+qADKtm3bFEXJve96/PHH7crZnn8Wdj8uxP1GUnqKe9KYMWPYsWMHK1euZMCAAbz00kt88MEH6nKLxUJ2drb6L3/6ptTUVPR6PXq9Hl9fX4YPH07nzp3ten599tln1KtXD5PJhIODA3q9nt9//51Dhw4VqM9DDz1U4FdFNyIqKoqcnBxefPHFG1pvxYoVaDQannrqKbv9DQgIoHbt2gVSNhXlm2++YceOHezYsYPVq1fTr18/XnzxxQK9JtevX0+7du1wd3dHp9Oh1+sZN24c8fHxXLp0CYA6depgMBh4/vnnWbBgQbFTizZs2JDVq1czatQoNm7cSHp6erHWMxqNLF26lIMHD/LRRx/Rp08f4uLieOedd6hatWqB1ABFKc6+XcuKFSuoUaMGderUsWuLjh07Fpo+qzDFOS8BatWqVeBXTevXr6dt27aEhobaze/fvz9paWls27bNbn7fvn3tehyGh4fTtGlTuxQSKSkp6q/eHBwccHBwwMXFhdTU1EI/B08++aTddNOmTQkPD79mWorbYcWKFXh4eNC9e3e7tqhTpw4BAQFqW9zsuSqEEKJoyn+pgzQaDWlpaWzatInevXvb9VTPb/Xq1bRp04aqVauWWD1cXV156KGH7Ob17dsXi8XCH3/8oc671et/fqmpqfz999/06tXLLt24Tqfj6aef5vz58wXuTfLXs1atWgDXzfKQl7e3N2+88Qa//PILf//99w3XuzAajUbt0QbWtK0VKlQgMDDQblwWLy8v/Pz8Cq3v9e4Ntm7dypUrV+jXr5/dNdtisdCpUyd27NhRoBffo48+WiL7B/bnq62+RqPRLr3pokWLyMzM5NlnnwWsadF///13evTogZOTk129u3TpQkZGBn/99ddtq/O13EqbrVixgjZt2hAUFGS3T507dwasPVeFEEIIm/zX+N69e+Pg4GD39//Jkyfp27cvAQEB6n1Wq1atAAp9plDY9fLSpUsMGTKE0NBQ9dlceHh4kdvo1q2b3XTVqlXRaDTq9Qxyr4/5r4O3+kznRq+lN/os8cEHH8TT07PA/Bu5n61Tpw7BwcHqtO3+u3Xr1nZZjmzzi3N/Z8sOVpxnP9e77/3rr7/IzMykd+/eduUaN2583eFhhLhfSEpPcU8KCwtTu6rb/qgdPXo0/fr1w9fXl0mTJqnjmoE1mJF3zBdHR0f1YY/RaCQ8PFztgg8wffp0Xn31VYYMGcLbb7+Nj48POp2OsWPHFnpDYUsxeLNsec6vlfKzMLGxsSiKUmSqK1tqxuupWrUq9evXV6c7derEmTNnGDlyJE899RQeHh5s376dDh060Lp1a7788ks1H/myZct455131ABd+fLlWbduHdOmTePFF18kNTWVcuXKMWzYMP7v//6vyDrMmjWLkJAQFi9ezHvvvYfJZKJjx468//77101rYNsH2w2JoijMmDGDESNGMHbsWH788cdrrlvcfbuW2NhYjh8/XuTNWv788oW53nlpU9j5Fh8fX+j8oKAgdXleAQEBBcoGBASwd+9edbpv3778/vvvjB07lgYNGuDm5qY+SCrsmBS1zeulZS1psbGxJCYmYjAYCl1ua4ubPVeFEOJ+5OPjg5OTE6dOnbpmudOnT+Pk5ISXlxcxMTHk5ORc9/4mLi7uhu+BrqeweyPbdcp2XSqJ639+CQkJKIpyQ9dkb29vu2lbutAbff/hw4fz8ccfM3LkyBIJzjg5OWEymezmGQwGvLy8CpQ1GAxkZGQUmH+9ewPbGI29evUqsh5XrlyxG4OvuPfdYWFhxTpfAfUHU15eXjz00EN88803vP322+h0OubPn0/Dhg2pXr06YG2/7OxsZs+ezezZswvdbv77vlv9W6G4bqXNYmNj+fXXX2/pXlYIIcT9I/813sHBAW9vb/Uan5KSQosWLTCZTEyePJlKlSrh5OTEuXPn6NmzZ4H7HCcnpwLPPywWCx06dODixYuMHTuWmjVr4uzsjMVioXHjxoXeK+W/5hkMhiKvj0lJSep0STzTudFr6Y3eHxRW/kbvZws7Ptean//+ztbOeeW/x76W69332rZR2L38zaT5F+JeJAE/cV9o2LAhn332GSdPnsTX15fnn3/e7lc9+cdZ0Wq1dgGu/L799ltat27Np59+ajc/OTm50PI3MzZbXrZfvZ8/f75AD61r8fHxQaPRsHnz5kLHkrnW+DLXU6tWLX777TeOHj1Kw4YN+eGHH9Dr9axYscLuRmnZsmUF1m3RogUtWrQgJyeHnTt3Mnv2bIYPH46/vz99+vQp9P2cnZ2ZOHEiEydOJDY2Vu3t1717dw4fPnxDdddoNLzyyitMmjSJ/fv3X7f8jexbUXx8fHB0dOTrr78ucvn1XO+8tCnsfPP29iY6OrrA/IsXLxb6/jExMQXKxsTEqDdfV69eZcWKFYwfP55Ro0apZTIzM9UxLgtbv7B5FSpUuMbelDwfHx+8vb1Zs2ZNoctdXV3V1zdzrgohxP1Ip9PRpk0b1qxZw/nz5wsN0J0/f55//vmHzp07o9Pp8PLyQqfTcf78+Wtu29fX97plbNfnzMxMu/lFPXyxBZLysl2nbNe6krj+5+fp6YlWq72ha3JJcXR0ZMKECTz//POsXLmywPIbPYYl4Xr3BrZjMXv27CLH2sv/cKe4993t27fnk08+4a+//ip022lpaURFRVGjRg27h5bPPvssP/30E1FRUYSFhbFjxw67vwk8PT3VHptFZeeIjIy8qTqXJh8fH2rVqsU777xT6HJbwFoIIYQA6/U8b0+x7Oxs4uPj1fus9evXc/HiRTZu3Kj26gNITEwsdHuFXSv379/P3r17mT9/Pv369VPnHz9+vIT2IldJPNO50Wvpjd4fFFb+dtzPXkv+doaC99i3wraNou7lpZefECApPcV9YcOGDWi1WrVHW1BQEPXr11f/1axZ84a2p9FoCgTL/v333wJpEa/lRn6d3aFDB3Q6XYEA4/V069YNRVG4cOGC3f7e7H7ntWfPHiA3GKnRaHBwcFAH0QXrvi1cuLDIbeh0Oho1asQnn3wCwK5du4r13v7+/vTv358nnniCI0eOkJaWVmTZwh6ogfWhWlJSkt0NldFoLLQ9bmTfitpGt27dOHHiBN7e3oW2xe2+KWnbtq16Q53XN998g5OTU4EHXYsWLVLTWIE1fcLWrVtp3bo1YD0miqIU+Bx89dVXBVLk2nz33Xd201u3buXMmTPqNm/FjXyeunXrRnx8PDk5OYW2ReXKlQusc7PnqhBC3E9Gjx6NoigMHTq0wLUgJyeHF154AUVRGD16NGANQLVq1YqffvrpmkGlzp07s2HDhmum4bZdR//991+7+cuXLy+0fHJycoFl33//PVqtlpYtWwIlc/3Pz9nZmUaNGrFkyRK78haLhW+//ZaQkJACablL0oABA6hatSqjRo3CYrHYLbvRY1gSrndv0KxZMzw8PDh48GCh1+z69esX2WP/el555RUcHR15+eWXC6QFBXjttddISEjgrbfespvfoUMHgoODmTdvHvPmzcNkMvHEE0+oy52cnGjTpg27d++mVq1ahda5JB543WndunVj//79lC9fvtB9koCfEEKIvPJf43/88Ueys7PtnilAwR+if/7558V+j5LYRnHdyDOdaz0XutPX0pt5Vner8rf9999/D1Aiz34aNWqE0Whk8eLFdvP/+uuvG0p3L8S9THr4iXvK888/j5ubGw0bNsTf35/Lly/z008/sXjxYl5//fVrjg9zI7p168bbb7/N+PHjadWqFUeOHGHSpElERkaSnZ1drG2UL18eR0dHvvvuO6pWrYqLiwtBQUGFXuAjIiIYM2YMb7/9Nunp6TzxxBO4u7tz8OBBLl++bJeeNK9mzZrx/PPP8+yzz7Jz505atmyJs7Mz0dHRbNmyhZo1a/LCCy9ct6779+9X9ys+Pp4lS5YQFRVFjx491F8od+3alenTp9O3b1+ef/554uPj+eCDDwrceH322WesX7+erl27EhYWRkZGhvoLqXbt2hVZh0aNGtGtWzdq1aqFp6cnhw4dYuHChTRp0sQuj3h+zz//PImJiTz66KPUqFEDnU7H4cOH+eijj9Bqtbzxxhtq2Zo1a7JkyRI+/fRTHnjgAbVHXXH3zbaNH374gcWLF1OuXDlMJhM1a9Zk+PDh/PLLL7Rs2ZJXXnmFWrVqYbFYOHv2LGvXruXVV1+lUaNG122LmzV+/Hg1X/y4cePw8vLiu+++Y+XKlUybNg13d3e78pcuXaJHjx4MGjSIq1evMn78eEwmk/qQ1s3NjZYtW/L+++/j4+NDREQEmzZtYu7cuXh4eBRah507dzJw4EAee+wxzp07x5tvvklwcDBDhw695f2zBa9nzpxJv3790Ov1VK5c2a63nk2fPn347rvv6NKlC//3f/9Hw4YN0ev1nD9/ng0bNvDwww/To0ePmz5XhRDiftWsWTNmzJjB8OHDad68OS+99BJhYWGcPXuWTz75hL///psZM2bQtGlTdZ3p06fTvHlzGjVqxKhRo6hQoQKxsbEsX76czz//HFdXVyZNmsTq1atp2bIlY8aMoWbNmiQmJrJmzRpGjBhBlSpVaNCgAZUrV+a1114jOzsbT09Pli5dypYtWwqtq7e3Ny+88AJnz56lUqVKrFq1ii+//JIXXnhBTQtfEtf/wkydOpX27dvTpk0bXnvtNQwGA3PmzGH//v0sWrTotvb20ul0TJkyhR49egC546KANd1Su3btmDp1Kp6enoSHh/P777+zZMmS21af690buLi4MHv2bPr168eVK1fo1asXfn5+xMXFsXfvXuLi4m74B3E25cuXZ+HChTz55JM0aNCAESNGULlyZWJjY/n6669ZvXo1r732Go8//rjdejqdjmeeeYbp06fj5uZGz549C9xHzZw5k+bNm9OiRQteeOEFIiIiSE5O5vjx4/z666+sX7/+5g5YKZo0aRJRUVE0bdqUYcOGUblyZTIyMjh9+jSrVq3is88+K/HUu0IIIe5eS5YswcHBgfbt23PgwAHGjh1L7dq11bHXmjZtiqenJ0OGDGH8+PHo9Xq+++47u2FErqdKlSqUL1+eUaNGoSgKXl5e/Prrr0RFRZX4/tzIM52aNWuyceNGfv31VwIDA3F1daVy5cqlci29kfvZkmAwGPjwww9JSUmhQYMGbN26lcmTJ9O5c2eaN29+y9v38vJixIgR6v1qjx49OH/+PBMnTiQwMBCtVvo2CYEixD3k66+/Vlq0aKH4+PgoDg4OioeHh9KqVStl4cKFxd5Gv379FGdn52uWyczMVF577TUlODhYMZlMSr169ZRly5Yp/fr1U8LDw9Vyp06dUgDl/fffL3Q7ixYtUqpUqaLo9XoFUMaPH68oiqKMHz9eKezj+c033ygNGjRQTCaT4uLiotStW1eZN2+eXd3zvr/N119/rTRq1EhxdnZWHB0dlfLlyyvPPPOMsnPnzmvu57x58xTA7p+7u7tSp04dZfr06UpGRkaB96lcubJiNBqVcuXKKVOnTlXmzp2rAMqpU6cURVGUbdu2KT169FDCw8MVo9GoeHt7K61atVKWL19ut628x0NRFGXUqFFK/fr1FU9PT3X7r7zyinL58uVr7sNvv/2mDBgwQKlWrZri7u6uODg4KIGBgUrPnj2Vbdu22ZW9cuWK0qtXL8XDw0PRaDR2bVCcfVMURTl9+rTSoUMHxdXVVQHs2iMlJUV56623lMqVKysGg0Fxd3dXatasqbzyyitKTEzMNfejOOeloihKeHi40rVr10KX7du3T+nevbvi7u6uGAwGpXbt2nbnj6IoyoYNGxRAWbhwoTJs2DDF19dXMRqNSosWLQqcL+fPn1ceffRRxdPTU3F1dVU6deqk7N+/XwkPD1f69eunlrOdR2vXrlWefvppxcPDQ3F0dFS6dOmiHDt2rMB+5j+H82/P9rnKX/fRo0crQUFBilarVQBlw4YNiqIoSqtWrZRWrVrZlTWbzcoHH3yg1K5dW/08ValSRRk8eLBap+Keq0IIIext27ZN6dWrl+Lv7684ODgofn5+Ss+ePZWtW7cWWv7gwYPKY489pnh7eysGg0EJCwtT+vfvb3efce7cOWXAgAFKQECAotfrlaCgIKV3795KbGysWubo0aNKhw4dFDc3N8XX11d5+eWXlZUrV9pdExTFel2oXr26snHjRqV+/fqK0WhUAgMDlTFjxihms9mubrd6/S/qmrV582blwQcfVO/NGjdurPz66692ZWzXzx07dtjNt12r8+5TYWz3k3FxcQWWNW3aVAEK3DNER0crvXr1Ury8vBR3d3flqaeeUnbu3FlgH4q6L7Ed2/zy35/cyL2BoijKpk2blK5duypeXl6KXq9XgoODla5duyo//fRTsfb3Wg4cOKD069dPCQkJUfR6veLl5aV06tRJWblyZZHrHD16VL03joqKKrTMqVOnlAEDBijBwcGKXq9XfH19laZNmyqTJ09Wy9jaMu9+FNe11i3sHLnVNlMURYmLi1OGDRumREZGqsfqgQceUN58800lJSXlhvdBCCHEvcd2Pf7nn3+U7t27Ky4uLoqrq6vyxBNP2N23KYqibN26VWnSpIni5OSk+Pr6KgMHDlR27dpV7PsORbHeR7Zv315xdXVVPD09lccee0w5e/ZsgWdKRd0n3Mj1sbjPdPbs2aM0a9ZMcXJyUgC75xHFuZZe71liYQDlxRdfLHRZce9ni3qeVNi2C6uj7Vj++++/SuvWrRVHR0fFy8tLeeGFFwrcJ+R/zlPUfU1h99IWi0WZPHmyEhISohgMBqVWrVrKihUrlNq1ays9evS43qES4p6nUZQ8OduEEEIIIYQQ4h7WunVrLl++XKxxfIUQQgghRPFNmDCBiRMnEhcXd9vGJRZlU//+/fn5559JSUm54+996tQpqlSpwvjx4xkzZswdf38hyhJJ6SmEEEIIIYQQQgghhBBCiDJt7969LFq0iKZNm+Lm5saRI0eYNm0abm5uPPfcc6VdPSFKnQT8hBBCCCGEEEIIIYQQQghRpjk7O7Nz507mzp1LYmIi7u7utG7dmnfeeQd/f//Srp4QpU5SegohhBBCCCGEEEIIIYQQQghxF9OWdgWEEEIIIYQQQgghhBBCCCGEEDdPAn5CCCGEEEIIIYQQQgghhBBC3MUk4CeEEEIIIYQQQgghhBBCCCHEXcyhtCtwp1ksFi5evIirqysajaa0qyOEEEKIMkJRFJKTkwkKCkKrld9EXY/cUwkhhBCiMHJPVXxyPyWEEEKIwtzs/dR9F/C7ePEioaGhpV0NIYQQQpRR586dIyQkpLSrUebJPZUQQgghrkXuqa5P7qeEEEIIcS03ej913wX8XF1dAeuBcnNzK/Htm81m1q5dS4cOHdDr9SW+fSGEKAnyXSXuVrfz3E1KSiI0NFS9VxDXJvdU9z5pg7JB2qFskHYoG6QdyobrtYPcUxWf3E/dH6QdygZph7JB2qH0SRuUDbfrfuq+C/jZUiS4ubndtpspJycn3Nzc5AMjhCiz5LtK3K3uxLkr6ZSKR+6p7n3SBmWDtEPZIO1QNkg7lA3FbYeyfE8VERHBmTNnCswfOnQon3zyCYqiMHHiRL744gsSEhJo1KgRn3zyCdWrV1fLZmZm8tprr7Fo0SLS09Np27Ytc+bMuaFf4cv91P1B2qFskHYoG6QdSp+0Qdlwu+6nJJm6EEIIIYQQQgghhLhv7Nixg+joaPVfVFQUAI899hgA06ZNY/r06Xz88cfs2LGDgIAA2rdvT3JysrqN4cOHs3TpUn744Qe2bNlCSkoK3bp1Iycnp1T2SQghhBBCAn5CCCGEEEIIIYQQ4r7h6+tLQECA+m/FihWUL1+eVq1aoSgKM2bM4M0336Rnz57UqFGDBQsWkJaWxvfffw/A1atXmTt3Lh9++CHt2rWjbt26fPvtt+zbt49169aV8t4JIYQQ4n5136X0FEIIIYQQQgghhBACICsri2+//ZYRI0ag0Wg4efIkMTExdOjQQS1jNBpp1aoVW7duZfDgwfzzzz+YzWa7MkFBQdSoUYOtW7fSsWPHQt8rMzOTzMxMdTopKQmwpvUym80lvm+2bd6ObYvik3YoG6QdygZph9InbVA2XK8dbrZ9JOAnhBBCCCGEEEKIe05OTo48zBLXtWzZMhITE+nfvz8AMTExAPj7+9uV8/f3V8f9i4mJwWAw4OnpWaCMbf3CTJ06lYkTJxaYv3btWpycnIpcT6PRoNPpirU/+Tk4OLBhw4abWleUHGmH0mdLt2tL4StKl7RD6ZM2KBuKaoe0tLSb2p4E/IQQQgghhBBCCHHPUBSFmJgYEhMTS7sq9yRFUXB1dUVRlNKuSomYO3cunTt3JigoyG6+RqOxm1YUpcC8/K5XZvTo0YwYMUKdTkpKIjQ0lA4dOuDm5lbo9i5duqT2BLxRiqKQkZGByWS6bt3F7SPtUDYoikJsbCyNGjXCYDCUdnXuW2azmaioKNq3b49ery/t6tyXpA3Khuu1w81e+yXgJ4QQQghxH7pw4QJvvPEGq1evJj09nUqVKjF37lweeOCB0q6aEEIIcUtswT4/Pz+cnJzkAXsJUhSFlJQUMjMzuXTpEiEhIaVdpVty5swZ1q1bx5IlS9R5AQEBgPU8CgwMVOdfunRJ7fUXEBBAVlYWCQkJdr38Ll26RNOmTYt8P6PRiNFoLDBfr9cX+rAvOjqa5ORk/P39b+pctlgspKSk4OLiglarvaF1RcmRdih9tu8u2+f2bv/uuhcU9b0n7hxpg7KhqHa42baRgJ8QQgghxH0mISGBZs2a0aZNG1avXo2fnx8nTpzAw8OjtKsmhBBC3JKcnBw12Oft7V3a1bknGY1GMjIySEpKIicn56ZTTZYF8+bNw8/Pj65du6rzIiMjCQgIICoqirp16wLWcf42bdrEe++9B8ADDzyAXq8nKiqK3r17A9bg3P79+5k2bVqJ1K0kzmWLxUJWVhYmk0kCTaVI2qFsuJe+u4QQoigS8BNCCCGEuM+89957hIaGMm/ePHVeRERE6VVICCGEKCG2MfuuNR6auHW2dHhms/mufWhusViYN28e/fr1w8Eh9/GYRqNh+PDhTJkyhYoVK1KxYkWmTJmCk5MTffv2BcDd3Z3nnnuOV199FW9vb7y8vHjttdeoWbMm7dq1K5H6ybksRMm7F767hBDiWiTgJ4QQQghxn1m+fDkdO3bkscceY9OmTQQHBzN06FAGDRpU2lUTQgghSoSk8by97oXju27dOs6ePcuAAQMKLBs5ciTp6ekMHTqUhIQEGjVqxNq1a3F1dVXLfPTRRzg4ONC7d2/S09Np27Yt8+fPL/Egwr1wrIUoK+TzJIQoSdk5FrItCiZ92fkBgQT8hBBCCCHuMydPnuTTTz9lxIgRjBkzhu3btzNs2DCMRiPPPPNMoetkZmaSmZmpTtsGkDabzeov0EuSbZu3Y9uieKQNygZph7JB2qFsKE47mM1mFEXBYrFgsVjuVNXuK4qiqP8X1kvmbvmcdOjQQd2X/DQaDRMmTGDChAlFrm8ymZg9ezazZ8++TTUUQgghRFmkKApRB2N5b81hOtcI5LWOlUu7SioJ+AkhhBBC3GcsFgv169dnypQpANStW5cDBw7w6aefFhnwmzp1KhMnTiwwf+3atbc11VRUVNRt27YoHmmDskHaoWyQdigbrtUODg4OBAQEkJKSQlZW1h2s1Z3h6enJt99+azfmXGnJyMjgjz/+IDs7225+WlpaKdVIlFUbN26kTZs2JCQk4OHhwfz58xk+fDiJiYmlXTUhhBDihvxzJoGpqw6x80wCAEt3X2BY24oYHMrGGK2lGvD7448/eP/99/nnn3+Ijo5m6dKlPPLII9dcZ9OmTYwYMYIDBw4QFBTEyJEjGTJkyJ2psBBCCCHEPSAwMJBq1arZzatatSq//PJLkeuMHj2aESNGqNNJSUmEhobSoUMH3NzcSryOZrOZqKgo2rdvj16vL/Hti+uTNigbpB3KBmmHsqE47ZCRkcG5c+dwcXHBZDLd4RremkuXLjFu3DjWrFlDbGwsnp6e1KpVi/Hjx9OkSRMALly4gKenJ0ajkdOnT1O+fHn++ecf6tSpc8vv/+mnn/LBBx8QHR1N9erVmT59Oi1atChQTlEU4uPjMZlMtGzZssBxtmUBEPev1q1bU6dOHWbMmAFA06ZNiY6Oxt3dvdDyEyZMYNmyZezZs+fOVVIIIYS4ASfiUnh/zRHWHIgBwKTX8lzzSAa3Kl9mgn1QygG/1NRUateuzbPPPsujjz563fKnTp2iS5cuDBo0iG+//ZY///yToUOH4uvrW6z1hRBCCCEENGvWjCNHjtjNO3r0KOHh4UWuYzQaMRqNBebr9frb+vD7dm9fXJ+0Qdkg7VA2SDuUDddqh5ycHDQaDVqtFq227Dx8KY7HHnsMs9nMggULKFeuHLGxsfz+++8kJiaq+xIUFKSWt80riX1dvHgxr7zyCnPmzKFZs2Z8/vnndO3alYMHDxIWFmZX1pYqVaPRFNoW8hkR+RkMBgICAkq7GkIIIcQNu5Scwcx1x/hhxzlyLApaDTz2QCivtK9EgHvZ+3FZqd79du7cmcmTJ9OzZ89ilf/ss88ICwtjxowZVK1alYEDBzJgwAA++OCD21xTIYQQQoh7xyuvvMJff/3FlClTOH78ON9//z1ffPEFL774YmlXTQghhLgvJSYmsmXLFt577z3atGlDeHg4DRs2ZPTo0XbpOzUaDcuWLQMgMjISsKbm1mg0tG7dWi03b948qlatislkokqVKsyZM+ea7z99+nSee+45Bg4cSNWqVZkxYwahoaF8+umnJb6v4t7Wv39/Nm3axMyZM9FoNGg0GubPn49Goyk0hef8+fOZOHEie/futSsvhBBClKaUzGw+ijpK6/c38t3fZ8mxKLSr6sea4S15r1etMhnsg7tsDL9t27bRoUMHu3kdO3Zk7ty5mM3mQn9FlpmZSWZmpjptSy1hNptLfCDprJws5h+Yz99pf9Mms02hZU5ePYm/kz/OeucSfe+yJNuSze643VT3qo6T/vaN6SOEuHm277+S/h4U4na7nefu/fR5aNCgAUuXLmX06NFMmjSJyMhIZsyYwZNPPlnaVRNCCCFKnKIopJtz7vj7Oup1aDSaYpV1cXHBxcWFZcuW0bhx40J71ee3fft2GjZsyLp166hevToGgwGAL7/8kvHjx/Pxxx9Tt25ddu/ezaBBg3B2dqZfv34FtpOVlcU///zDqFGj7OZ36NCBrVu3Fqv+4s640XPZYrGQnpWDQ1b2LfcCLe75PHPmTI4ePUqNGjWYNGkSAAcOHCiy/OOPP87+/ftZs2YN69atAygy9acQQghxu5lzLPyw/Swzfz/G5RTreNB1Qj0Y3bkKjcp5l3Ltru+uCvjFxMTg7+9vN8/f35/s7GwuX75MYGBggXWmTp3KxIkTC8xfu3YtTk4lG4yyKBa+uvoV2WTz89qfcdO6cTr7NJEOkThoHDiffZ7PUj4jQhfBQNeBLE1bypnsMwx2GYyj1rHA9tIt6Zg0pmL/gXAj/sn8B61GS11D3RLf9paMLazJWEN1fXWecH6iwHKLYuFk9kmCdEE4aW+8DRRFwYwZg8ZQ6PJMJROLYrE7ppdyLuGicSn2+6Vb0tFpdEW+R1xOHH9n/k1LU0vctNZxiyyKNa2JVlP4TfQJ8wmOZh+lvak9Dpq76qMn7mFRUVGlXQUhbsrtOHfT0tJKfJtlWbdu3ejWrVtpV0MIIYS47dLNOVQb99sdf9+DkzriZCje334ODg7Mnz+fQYMG8dlnn1GvXj1atWpFnz59qFWrVqHr+Pr6AuDt7W2XLvHtt9/mww8/VLMpRUZGcvDgQT7//PNCA36XL18mJyen0OctMTExxaq/uDNK61yG4p/P7u7uGAwGnJyc1PPy8OHDRZZ3dHTExcUFBwcHSfsphBCi1CiKwur9Mbz/2xFOXU4FIMLbiZGdqtC5RsBtidHcDndd1CH/gVUUpdD5NqNHj2bEiBHqdFJSEqGhoXTo0AE3N7cSr9+CFQs4kXSCsNphnEs7x4JdC6jhXYMFHRYw/q/xkAKnc07TuXNn3lr0FgBXI6/yaPVHWXBwAYuPLubTBz/lSsYVBq4byNNVn2Z43eE3XI8cSw5Tdkwh0i2Sp6o+xR8X/uDjvR/TJKAJT1V5ireWWd97RLcRODoUDDbmFZcWx8f/foyHwYPBNQeTmZPJ9pjttA9vX2hwa/qS6QAcMB+gS5cuBZavOrWK+dvmU92rOgs7LSywPDEzkdl7ZtOnch8qelQssHz+wfl8svcTPm7zMY0CGtktsygWeq3sRWJmIssfWo6L3oVTV0/x1sq3CHAKYNUjqwps759L//DnxT95oeYL6HV6krKS6Pa/bgQ6B7K4y2IURWHG7hmEuIbwWMXHAOj2v25czLpIjmcOn7f9HHOOmb5r+uLo4MiCDgvUelbzrqbWsd739QBoUr0Jfav0Bazn7/W+LLIt2eg0ub+k++30b/wb/y8j6o5Ap9UVuk6qOZXkrGQCnHNvlrNysjh05RDVvavjoL3rPvqihJnNZqKiomjfvr2MsXGXy0lKQuviQk58PBqDARSFnCtX0IeGkr57N44PPID53DkcfHzIjo9HHxRE+p49aE0m0GjQeXqi0etBoyHn8mUURSH7wgV03t6Yz5zFUKkSOZfjcAgMJOfqVXLir5ATfxmNXo+SnYMlNQVj5cqkbduGRm/AWLEiCgo5VxLIOnoUS2oqWhcXNEYDWpMjOm8vlMwschISUCw5WBISsaSmgkaDRq9H5+ODRqcDRSHzxAkcvL3JuXoVrasrWceO4tiiJbsiI2j7yCMlfu7asgAIIYQQQpSGRx99lK5du7J582a2bdvGmjVrmDZtGl999RX9+/cv1jbi4uI4d+4czz33HIMGDVLnZ2dnX7fXVGHPW+6Wh1tCCCGEEDdr+6krTF19iN1nEwHwdjYwvF1F+jQMQ6+7u8aEvque+gcEBBT4ddmlS5dwcHDA27vw7pRGo7HQVBi3a7D1MLcwTiSdIDo9ml1xuwDYH7+fzTGbuZxxWS2XnJOsvj6bcpajSUeZuWcmABsubOD3s7+joPDNoW94veHrHE04ilFnJNwtvFj12BOzh6UnlgLwWJXHGL5puPW9ks7SNKSpWu5SxiUqeFYosH5saizzD8ynf/X+rDizgl9P/gpAVZ+qfLXvK05ePUlKTgp9qvRR18mx5KDT6uyCgA4ODsSmxeLv5K/+obD6zGoADlw5wPm080z5ewrPVHuGFiEtAJi1fRbLTixj6Yml/PvMv5xPOY+n0RMXg4t1+Z5ZALyw/gX29dtnV+/EjEROJ50GYGvMVrqW68q22G0AxKTFoHPQFQhSDlpn/SPIx8mHftX78efZP0kxp3As8RgWrYUzSWdYeNgamGwY2JAKnhW4mHoRgB2xO9Dr9eyN38uJqycAyCCDI1eOMHvvbAB2PrUToy73HDybcha9Xs+eS3sYtn4Yg2sP5smqT5KVk8XxxONU9aqqHqv07HR6rOhBmGsYX3T4AkVRGL11NADNQ5rTMqRlgbYDeOG3F9gfv5/VPVcT4hoCwHv/vMfiI4t5ue7LPF/rebXsxZSL+Dn5SRDwPnW7vgtFQZb0dDQma6/ttF27MVaqiNbZmfRduzBERqKYzVz5+mu8BgwgbcdOUrdswX/MaGImT8bB2we3Ll04P2wYvi+/TPruXZgvXcKtYyei33wTrwHPkvjTz+jc3NAHBpK2YwcurVqRsmkTxmpVyTx8BJ2HBzlXrqDz9SEn7vL1K1xGmU8vJNzTA4devUr83JXPghBCCHFvctTrODipY6m8740ymUy0b9+e9u3bM27cOAYOHMj48eOLHfCzWKyZZ7788ksaNbL/gaxOV3h9fHx80Ol0hT5vyd/rT5SuGz2XLRYLyUnJuLq5lkhKTyGEEOJeciw2mffWHGbdoUuA9Vo3qGU5nm9ZDhfj3fms/K6qdZMmTfj111/t5q1du5b69euXmYd0Ya5hAJxNPkuOJTev+vGE45xLPqdO/xv3r/r6YPxBVp3M7XmWnJVMZk7uuINXM6/y1KqnSM9OZ/1j6/F18i30vZOzkvlw54d0LdeVS2mX1Pnrz61XX2dZsjgYf1Cdvph6kS0XtnA2+SxjGo1Rgz4Ttk1gy4UtbL6wmcaBjdXy0anRnLx6EoCoM1FqwG9HzA6GRA1h+APD0ZJ7E7nq1CpGbR7FsLrDGFTLGlizBe4AFhxYwF/Rf/FX9F+seXQNwS7BnEk6oy7/ev/XzNg1A2e9M6t6rsLL5GW3z9mWbLtA1ZXMK+rrPy/8SddyXclRctvhUtolApwDyLZks/7sehoH5e7b/sv7ATiWcEydF58ez+X03AfjS48v5fUGr5PfgfjcfPQJGQnEp8er03+c/4OmQblBVlvA8enVTwPw7vZ3ebLqk7y7/V1+OvoTE5tOpGfFnmqdLqRc4ELKBZKzksnIzlC3k5SV2xNlX9w+Rm0exYgHRtA2vC374637suLkCobUHgLA4iOLAZi9e7Ya8Ps7+m8Grh3IQ+Uf4p3m79gdu0DnQMp5lFPnXUi5gIPGAX/n3D/4zDlmtBqt2tMwJSuFPy/+yYNhD6LXlo3PpBC3k6IoWFLT0Lk4o1gsJHz7HYaIcFxatuTq//5H+t69+Lz8MqlbtnDx9ZEETJiAxmgkevRo3Lp1w7FWTWKnTMWpcWMUs5n0f/4h/cAB0nf+A0DmqZNk7LVeL67MmwdA9Jgx6vunbvrDumzu1wBYkpIwnz8PQMqmTdZtHDwEQM4V6/fj3Rzss3FISgazGQyFp10WQgghhMhLo9EUO7VmWVOtWjWWLVtW6DLbmH05Obl/8/r7+xMcHMzJkyeLPTavwWDggQceICoqih49eqjzo6KiePjhh2++8qLE3ei5bLFYyDbocDI43HLA70YYDAa787KkywshhBC3IjYpg4+ijvLjznNYFNBpNTzeIJThbSvi52Yq7erdklK9401JSeH48ePq9KlTp9izZw9eXl6EhYUxevRoLly4wDfffAPAkCFD+PjjjxkxYgSDBg1i27ZtzJ07l0WLFpXWLhQQ6hoKWAN+CZkJ6vwTiSe4kHJBnd4bt1d9fTzxOMEuwep0bFos6dnp6vTmC5vV6c///ZwX67zIgfgDVPasbBf8m/7PdH459gu/HPuFl+q8pM5fdco+jeVf0X+pr09dPcWMXTPIUXJoE9pG7WX310VrmTNJZyjnnhv0+fPCn+prJ33ueHgDfhsAwLQd0+yCchO3WcdPnLV7FgNqDECn1ZGSlaIu3xm7M7deF//i0UqP4uSQu91vDlrbPtWcyv7L+2kZ0hJXgyvJWdYeksuOL+NiykUaBTZCq9Ha9d47lmgN3MWk5v5Kcf3Z9aw4uYKMnAyOJRyjfXh7dVlGjjWYljcYezn9MgkZue2YN5CaV972TMhI4EpGbuDxwOUDdscw1ZxKmjl3nCiTzvol8tPRnwCY/NdkHi7/MDqtzu69TySesFvPdhyTs5J5ZvUzZCvZvLrpVf5+8m+1zPnk84XW12bOnjkALD+xXA34Hbh8gCHrrEFCWw/Kq5lX6fRLJ0w6E38/+TdajZarmVd5evXTaNDwy0O/4KB1YOaumfxw5Ae6luvKuy3eveZ7C3E3UMxmMg4fxlSjBhqNhtRt27jy7Xf4jx6FPjiYc0OGkLrlTyK++5bMEyeInTIFgEo7d3DxjVEA6Ly8ufzxxwDETJiAzsMDgKQVK0j7xxrYS/sr93vZFuwD1GCfsHd+4HNUlGCfEEIIIe4h8fHxPPbYYwwYMIBatWrh6urKzp07mTZtWpFBNz8/PxwdHVmzZg0hISGYTCbc3d2ZMGECw4YNw83Njc6dO5OZmcnOnTtJSEiwG/IkrxEjRvD0009Tv359mjRpwhdffMHZs2cZMmTI7dxtcY+KiIjg77//5vTp07i4uKg9T69V3vZMMCQkBFdX10KzdQkhhBC3IjnDzOebTvLVlpNkmK3Xpo7V/RnZqQrlfV2us/bdoVQTkO7cuZO6detSt25dwHqDWbduXcaNGwdAdHQ0Z8+eVctHRkayatUqNm7cSJ06dXj77beZNWsWjz76aKnUvzB5e/jFpcep8/ddtk89mTdABHAo/pD6+mzSWS6mXFSnN57bqL7+4/wfvLrpVV5Y9wIP/+9hVp1cRdclXdl2cRt/nPtDLXck4Yj6Om+QDqy98fJu29YDLupMFIqioCiKXS+8Dec2qK93XdqlvrYFMK9mXrXbft5gV1ZOVoF1o1Oj1Xl5e/PZekDmDdDl3da55HNk5WSpwT6wBhS/3PclA9cOZMBvA1h+Yrm6LC7NevzzHsup26ey7/I+tRdf1JmoAuXz9uiLS4+zC7olZCTYBd0AzBazXWAtMTOR+Ix4u+m8+xybFmt3zPKnGDVbzLRY3IJLaZfs1jueeJzjibkB8svpl7mYcpFWi1uRrWQDkKPkkJiRqJY5m5z7+clPURS74w/Wthy+cbhdmWMJxxi12Rq4yMjJUI//ggMLOHX1FCevnlTb6YcjPwCw8uRKu+0eiD/A82ufZ9vFbeq8pceW0v7n9hy5csSubJo5jaMJR4ustxC3U8qmTSStWaNOX3zzTU4/1pvEn35CURTODXmBlN9/5+KoUZjPnbP2sMvJ4erKVaTt3q2ul7Qy94cW6fvsg3aaPH+4ZkdHI25clm/hPd2FEEIIIe5WLi4uNGrUiI8++oiWLVtSo0YNxo4dy6BBg/j4vx+P5efg4MCsWbP4/PPPCQoKUgODAwcO5KuvvmL+/PnUrFmTVq1aMX/+fCIjI4t8/8cff5wZM2YwadIk6tSpwx9//MGqVasIDy/esCJC5PXaa6+h0+moVq0avr6+ds/2CvPoo4/SqVMn2rRpg6+vb5n6Yb8QQoi7X1a2hXl/nqLV+xv5eMNxMswW6od78ssLTfj86fr3TLAPSrmHX+vWrVEUpcjl8+fPLzCvVatW7Nq1q2DhMsIW8DufYt+zKv90/oDfpfTcnmO2dIw2G87mBtyiU6PVIFByVjJvbH4DgOejnrdbJ28g61ry9rBbenwpq0+tRqPR2PUwLMqxhGO8tuk1fjv9W5Fl8qbTHPDbAPpW6WsXgMtr3+V9fHvwW3UsvPyOXDliFzAqzJJjS9TXVzKukG3JtutZeS0H4g/w6d5P7QJ+8enxdkHHK5lXCvTyi02NJTYtVp3On9IzMTPRLoh5Ke0SiZmJ6nRadhqp5lS0Gi0WxfrLguSsZLbHbLcLnJ28etIuXerl9Mtsj9mO2WJW50W4Rdht2xbQs23XJiM7g6XHl9oFJjNzMhkSNcSurklZSYzaPMouAJeUmYSbwc3uHE7MTMTPyY9q3tXUlLEJGQl4mjw5cPkAfVZaU79ui97Gjid3YHIwMW6rNbD/xh9vsOyRZeq2hm0Yxt/RfzO3w1waBjZEiNvFHB3N1f8tx717N/TBwZgvXODc0BchJwftl844PfAAScutaaTjP/8C17ZtUTKt6ZYzDh4i60xuwDzj33/RmHK7/Kesz02lnLrV/nsrOzYWcfMcgoLIcXUt7WoIIYQQQpQoo9HI1KlTmTp16jXL5X+GMnDgQAYOHFigXN++fenbt+8N1WHo0KEMHTr0htYRojCVKlVi2zb7v4PyjkPZv39/u2mj0cjPP/98h2onhBDifmGxKKzcF837vx3h7BVrJ55yvs680akKHar5o9FoSrmGJe/uTGJfhnmbvNGixcK10xXkDdJcT5Yl6/qFSogtrWVxXSvYV5jvD39f5LLtMdvZHrO9yOVLjy9l6fGlxX4vBYV6C+uhUHRQOT9bikubv6P/JjU7VZ1OyEhg96XddmUuply0CwomZCbYBdISMhLseupFp0bbpXsFa+rN/H+4fXfwOw5dye35mZCRgIbcL6H49Hi7HpRgDdrlDfhdybjCypMraRRoP1h7bFosU/6eYjfvUtqlAsHm+Iz4Ar3trmZdZfne5XZtZeuxmHcfziWfw9PkyYu/v2i3flx6nJr6FuDE1RMMWz+MmW1motFo+DvampL0ubXPsbDzQur41VHLrjy5kun/TOfFOi+q4xwKURzm2EukbNqI+8MPo/2vh925IS+QeeQI6bt3E/r5Z6T8Ye2tB5C6ZYuaehMgOz6erNOn1WklLY30PblB76wzZ9A4OqrTKX/k9rjGXPzv+3uNQ1AgTnXqkJOUjCUlBRx0aJ2d0Tk7ozE5otHpMJQvhz4gAGOlSmTs34+SnUNOQgKmalXRBweDVkvmsWO4NG+OOSYGi8nEwa1bS3vXhBBCCCGEEEIIIUQZtfXEZd5dfZh/z1ufW/u6GnmlXSV61w/BQVeqiS9vKwn4lTCdVoerxpWrytXrF74ODZoig1UOWgeyLdkF5gc6B9oFl+4XlT0r26UxtSnq+P3Y7UeeXv00mTmZ19zu2jNr7aYvp19We6bZPLf2Obvp2btn27VNbFqsXVrWzJxM1p9db7dOr197qa/LuZfj5NWTBYJvCZkJdgG1E1dPUMW7il2ZxMxEu4AfwKjNowoExw5cPkB+tpSqeV1Jv2I3ZqLtPT7b+5lduaTMJLWONk+uepI9T++xC36qZfN1ztlwbgOp5lS7VLIAb/35Fit6rACsKUQ/2PkBAP87/j+7ffrp6E9kW7JpFtSMMLewAvshRPTYt0j9YzMZ+w8QOGki2VeukHnE+p2RsmkTSlaWXUAv4+AhjFWrqtNKRgapf9oHmfIG9XISEyExMXfhNXqvlzUaR0f0QUFoTSaUnBx0rq5o9Hos6ekYK1ZE46DDqWFDQIPW2cm6r1otWBScGjWEnBzS9+7FtX17NDodWecvoPNwBzToXJxvqC7GcuUKnW8ICbH+HxqK+T4OoAohhBBCCCGEEEKIoh2OSeLd1YfZeMQ6fJezQcfgVuUZ2CISJ8O9Hw679/ewFLhr3bmaYw34hbmG2Y2jVse3Dnvi9qjTVb2qqr24HB0cMegMam+p5sHN2Xxhs1q2XVg71p1dB8DgWoPRoMHRwZEu5brQ5sc2ALxU9yXe3PImAJHukcSlxZFiTilQxwDnAOLS4tSUm9NaTuOdv9+hZXBLfj1pTWH3RJUnWHS48LzpNbxrqAGpRgGN0Gg06LS6AuMFAvg5+dElsgt/Rf/F4SuH1X29VtpQk85k19uwgkcFu/Hr8qrqVZUfu/9I+5/b26WjvJZg12CCXII4dfUUAB0jOt5wb8Wi5A/EFpZSdPGRxYWu62H0oF14O7749wt13tvN3mbsn2NJzEi0S5F6LvmcGnh7vPLjLD6ymPTs9AIpR8E+1SlY04MC+Dn6EeYWxs7YneqxAKjtW5u9cXu5nHFZHbMwwi2C00mnC4zZCNZef1BwPMfCgrC2MvnPgeSsZJz19sEBW0rSHEuOGuwD7AK1h+IPMWnbJHX6s3af0Sy4GWDtcThx20SSspIY3XA0vk4Fx/1SFOWe7L59v1IUhatLlqKYzXj2eRyAnORkUv+wfpcm/vgjARMnkHn0mN16WefOkXUm97s689QpzOftP7spf26xm87YZz82a2nRubuTc/UqhshItE5OZJ05g+fTT5G2YwdunTqTsv53vJ59loTvvsetcyf0ISFodDqyExPRubtjql4djV6vbu9mPg/6wED1tSEkuET2SwghhBBCCCGEEEKI4riYmM70qKP8sus8igIOWg1PNgrj5bYV8XExlnb17hgJ+N0G7lp3+C8uE+EeQVx6nBrYqOdfzy7gVz+gvhrw83X0xcfRh12XrGMUNg1qqgb8XPWuPFrpUTac20B9//o8WfVJXA253aS+7/I9yVnJ1PWvqwb8gpyD0KAh5ao14GcL2IC1J+DltNyx6jqEd6BzZGcURSHENQS9Vk9N35pqwM/d6G4XzOlbtS9jtozBQePAlx2+RKPR8MmeT9SAX95AZnn38rxa/1UysjNo8F0DwNojz3YcHB0cmdF6Bpk5mSw8tJD9l/fzf/X+j3e3vwuAp9GTpQ8vZVfsLvqt6QfAA/4P8E/sP9bj9l8QJ9A5sMiAny0gBuCid8HN4EaIS4ga5GoS2IRu5brx8vqXAQh1DS20x1te+Y9JfraeetfySIVH0Gv1/HT0JwC8TF54mbzU5QatgQi3CMA6xqDNszWeZd7+eep0qGsoOo2OHCWHaTumAdb2v5iaO15io4BGOOudWX9uPd8c/AYAN6Mb3o7eAOqxcNW74utoPabnk8+rQcYwtzBOJ50mMTOxQK+/q5lXyczJLBDETcpKwsvkZZfy9GrWVXIsOWRkZxQom7+HH1gDqKnmVLt5eYPY+dt84aGFasDvROIJfjn2C2Ad13LX07vQa3MDG5vPb2bkHyMZ33Q8nSI6FXhvcfdJ2bCB6Det34GmKpVxrFOHjIOH7MpknT6N+bz95zvz5Emy8gwkn3P5stoD0CZj77+Fv6lGo/bo07q6YknO/WxoXVysqSxBHScQwFCuHFknrd8PpurVyThg/Xw7N22ijvnn0bs3iT/+iCEyEn1gAKlbtxE8ayZXly9HHxiE64NtSF6/Ab/h/4f54kX0QUFonJwgO9sugOf11JMAuLRocb3DJ4QQQgghhBBCCCHEXeNqupk5G48z/8/TZGZbh1nrWjOQ1ztWJsLnxjJP3Qvu3WSlpchN66a+ru5dHW+Ttzpdw6eGXdmqXrkp43wcfWgQ0ECdLueRm9rM39mf5sHN+avvX3zV8Su7YB9ATd+aNA1uiqND7hhSFT0rYnIwqdPNg5vbvVe2ktsTTafVAdaeHUPrDGVQrUEEOAWoy+v51bPbdqvQVnzV4St+fuhntTdIFc/c9JK1fWurr21pJ00OJpoGNUWr0TKwZu6g4gHOATQNbkqbsDZ80vYTVvdcTV2/uupyWwCsqndV/Bz9CHIOonNEZ3W5LTjl4+ijznum2jM4Ojjyfqv3WdljJQNqDMg9ru7W4xrsktsLxdfJl/Ie5XOPh0bH2MZj1elgl2DCXHNTRfo4+vBQ+YfU6SaBTXi3xbvqtF6rZ0GnBeTnoLWPsXuZvKjpU1Od9nfytwv4eTl64WnyLLCdvlX64qLPDY55mbxwN7rblXmu5nNU9KyoTge5BOHlaN22LTDnbnRXz09bwC9vENDWq9KgNeDv5A9Yxw60Bfu6lesGWMfl+3r/1wXqmZCRoKYYtZ0TVzOvkpyVrKZbtbVDclayGkDNe5zyzrfJm7Y0fwrTUJfc8QELpEXNsB87cdiGYaSYU3h90+sF6i7uTklr1qivkzduBCgQuMs8fpysc+ft5mUdP475nH0QMPVP6w8YHHzte4Yaq1W1m3ZumRtIc27c2H5Zi9zvXbeuXdXXHr1y0/h6PzcAQ4XyaJ2c8B87Fsc6dfB4og/+o0fh/+abhH+7kKAPPyRi8Q+4dehA6McfE/DmGJybNCHgzTFonZ0xVqyI1tkZjUZjF+wTQgghhBBCCCGEEOJek5mdw1ebT9Jy2gY+33SSzGwLjSK9WPZiMz55st59GewDCfjdFu7a3MBLHb861PGro077OfnZlc0bpGoR0oL6AfXV6WCXYDWgMrzecAC7AF5RZraZSefIzgypPYQcS24KyBfrvKi+TslKoV81a2+59uHtC92Ov7O/+rpXpV7U98+tm6velUaBjeyCZHnHk6vmXU19XdEjN+j0YasPWdVzlV1gM2/Ay9HBEW9Hb7ugl+09HB0c+eWhX/ix+492qRkre1UGUFNPArxW/zW2PrGVThGdCHMLUwNYYA18AYS4hqjzfBx9CHHJnU4zp9G7cm/+6vsX/1fv/1jYeSEj6o/gyapPsqrnKtY/tt4uADrrwVl2PcQeKv8QHiYPwt3C1XlhrmF83u5z8vI0ehLgnBtYDXUNtdt3b5M3HkYP8vMyedkdAy+TlxqQs6kfUB8/x9zzzdPkaderE8Dd4K4em+0x2wFwM7ipdVp5cqW1nNFdrYctCKjT6NTx8hYeXMiyY8sAa2CvXVg7AE4nncaiWH9ZYTsWiZmJagpQZ72zur/JWcnqfC+TF04OTrnz8wX8kjKT1HM7/zLb+wEcuWIf6Mkf8CtsHExxdzDHXuLM089w/pVXUCy5bZ55PDf1b8Z+a68584V8wb2Tp9TgntbN+gON1D+3opjNaPR6HOvUAcCSZv1OccoXxHNp1kx9rTGZcG6Q+31miIiwK+vWOffHCZ59Hsexdm2MlSrh1q0rQdPew3/MGFw7dyZy8WLKr4vCGBlJxA+LCBw/Hq2jI15PP4WDtzcOnp441q6NEEIIIYQQQgghhBD3K4tFYenu8zz4wSYmrzzE1XQzlfxd+Lp/fX54vjF1Qj1Ku4qlSlJ63gbaPHHU2r61CXcLZ8XJFYB9rzKw9vgLdgmmqldV+lfvj9lixtHBERe9C0HOQbzV+C0G1Bhg11Preh4Me5AHwx4EYPgDw3lv+3uMbTzWLl1imFsY/1fv/6jhW4OWwS0L3Y6jgyOv1X+NxMxEWgS3wN/Jn80XNlPPr16hYzwFOQeprx/wf0B9nTco6GJwwcXggvJf+jvbMcovb9Dr6WpPq689TB4A1PKthZfJi3p+9ehVqZf6Pn9etPbI0Wg0OGhyT2+jLjdPry3IGuicO+aUr6MvGo2G77p8x5tb3uTlutbUns56Z7U3YtuwtrQNa6uuU8e3DmDt/WYLxJZ3L8+JqyfoFGkN/s3vNJ9UcypeJi+0Gi3Oemf29dvH0mNLWX9uPR0iOpCVk6Vu0za2oHq89C4FenO+VOclDDoD3iZvtVdegHMAke6RahrVcu7liHSLLBAUrFepHhvPb1Tn5e3hZ+NmcCsQPHQzuBHpHgnAhnMbAGsAsX1Ye+bsmQOgpg+d3no6n+79FICTiSfV9W1t+smeT9SAsKfREzeDNeCSlJWE0cGo1kuDhrTsNJKyktRAoO34KigcTThKVe+qBXr4JWUlqa/zj2eYN7Vo3uMu7j7xn39O2o4dAKQ//TRO9eqhKArms7m99DIOWT8PWf+Nxefg50f2pUtknTxB1nlrENClZUuSVqwgbedOAPShoRjKlSN9zx51O86NG5P066+50y1aEP/lVwAYy5XDWDH3+9mxTm28hwwm/rPP8R4yGNe2bfEZOhTH2rXQBwURsfgHtaz7Q7m9hDXOzmid789fHgkhhBBCCCGEEEIIcT2bj8Xx7urDHLhoff4b4GZiRPtKPPpACDptwXjF/UgCfrdBRQfrw9+qXlVx1jvjrHfmuy7fkZyVjI+jD50jO7P61Goer/w4rgZXVvdcDfwXpNI6qNN6nR69Tn9Dwb78mgc3p3mP3JRyvz7yK4uPLGZI7SHodfrrjlvWr3o/9XVlr8qseXRNgQCUjUaj4efuPxOfEU+YWxiTmk4iPiPerrdf3rKDag7iSMIRu9SYNgadgdkPziYjJ8Ouh6SNj6MP6x9br6YiBXi+1vNk5mQWuj2wBjDTs9PVoF3eVJm2YFQt31r82uPXQtfPr3lwc2a0nmHXs/HrTl9zNumsWmcfRx+7Xpw2PSr2oEfFHgB24965G9ztehrGpsWi1eQGkBd0WkA9/3oAdmPghbuF46R3UqeXPrwUjUZjF9T0MnnRMqQlA2oMUNNvuhvdC4yb52YsGPBzN7qrPSltvE3eVPCswJNVn+S7Q98B1sCjn5Of2htwzWlrekU/Jz+7noy2sSGreFVR03cmZyWrY/PZ0rTGpsVaA37/9eLzcfThxNUTAIz9cyw/P/Qzv574VT0GZ5LO2AX8Lqfb92jM28PPNo6hjaIoBQLZK0+uxNHBUQ2gi7Ij5Y8/1NepW/7EqV49chIT1fHyAHLi48lJSlLHzXNu2YKrP/9C5slTmG0Bv1atSFqxQl3HEB6OITy3Z67GyQmnRg3Vaa2bG0716oFeD2YzhshInJs2xblpU8yxsTg3boxr27Z49euHzs0NjU6H77CXb9txEEIIIYQQQgghhBDiXrb/wlXeW3OYzcesz3pdjQ4MaV2eAc0icTTorrP2/UUCfreBt86bXx/6FT+X3HSKtXxrqa/HNR5H27C2tAi2jvuUP8iQN/1kSYtwj+CNhm/c9Pr5eyjmlzcoZAtoFWVYvWHXXN46tPU1l+cN9oE1KPVW47eKLP/LQ79wLumcmja1rl9dWoW0IsQ1pMC2ikOj0dA2vK3dPC+Tl13vxOLImxo0wj3C7nywBVd/eegXLqdfVoN9AJczcoNZDloH6vvX5+ejPwOoQcK8Y0R6mjzRaDT0qthLDfilmdPsAnFgbeO86VzB2q62Hn55y4G1p6Mt4Geblz8NaaBzIA+Vf4h3t1vHOdxyYQtgHXvyfLI18HI66TSnk04D1jERbT0J8wb83Iy542MeTzzOwfiDXEq39uLzdfTlTNIZuxSfth593iZv4jPiScjME/A7YB/wi02LtTsWl9MvM2rzKAB+6PoD1X2qI8qGnJRUNWAHqL3xbGk6Hfz8UBQLOXGXyTp9Oje416IlV3/+hYx9+9R1nZs1BZ0OcqwpYg3h4XZpOY0VKqAPzv3ec6xRHY2DA/5vvEHqtm34jRyJRq8ndO5Xdp9dB8+CY28KIYQQQgghhBBCCCGK59yVNKZHHWXpbuuP+fU6DU83juClByvg5Wwo5dqVTTKG320S7BJs1+MqLxeDCx0jOha5XNweoa6hNA1uqk47aB34uO3HjGo4qhRrZfV5u88Z3XC0mgr1qw5fUcu3lhrArORZiaZBTe3Web7W8wA8UuERADpHdmZMozH82O1HtUzeIJVtTLxQt1A1yFjDpwa1fGoxselERjUcxcSmExlYc2CBHn6dIjqh1+oZ23isOs8WFAx0ye1FaOvNmL9Xo5+TH64GV3pX6m03/8HQB9UA6eIji/k7+m+0Gi0Phj2oBveWHluqpu10M7jxQ9cf1NcnEk+o27L1qrT18Nt0bpMaQLT1ko1Pj1fL502dCrDx3Ea76eiUaPV11JkoxJ2nKApJv60lZdMmu/lZJ0/YTWceO2ad/1/ATx8WijE8AoD0f/epvf6cmzaxBvf+o3N3x8HLC0NIbq9aQ3iYXYpOU+VKaDQaQj6dg2vHjviOeBUAr6eeJPSTj9H7W3/YUViaYyGEEEIIIUqaRqNh2bJlpV0NIe4qxfnc9O/fn0ceeeS216V///5MmDDhtr9PWTB//nxat25d2tUQQtyFEtOymLziIG0/3KQG+x6qHcTvI1ozrns1CfZdgwT8hCgDmgY3pW/Vvup0o8BGfNflu0LTodo8WvFRFnVdpAbhtBotT1R5gqreub36/Jz8iHSPxEXvQiXPSur81T1XM6npJLqX745Go6FnxZ48WfVJelbsibvRHZODiZ+7/8zUFlP5pO0nas/Cxyo9pm7Dloozb3DQNh5g3nEbAVLNqYB17Eib9uHtiXCPoE+VPna9HFsGtyTMLYxHyj8CwF/Rf/Fv3L8ARLpHqr0IEzITiE2LVdezpXKNS4sj25LNR/98pC6zHceY1Bh1XnSqNaDXOaIzAMtPLFeXKYrCS+tfUqfn7p9rt664M5JWrODC//0f5wYPUYN6gNpjz1jJek5nx8WRk5ys9vAzhIRiiIwAIGWzNfWnzscHnasrhtBQdTv6/17rI3JTeBrCwzGWi8T9kUfQeXvjNWAAAK5t2hAycwaONaSnpxBCCCGEuD0uXbrE4MGDCQsLw2g0EhAQQMeOHdm2bZtaJjo6ms6drX/DnD59Go1Gw54840/frD/++IPu3bsTFBQkQUVxy1q3bs3w4cNLuxqq4nxuZs6cyfz58+943ZYsWUL79u3x9fXFzc2NJk2a8Ntvv9mVOXDgAI8++igREdasUDNmzLjj9SwJ8fHxdOrUiaCgIIxGI6Ghobz00kskJSXZldu3bx+tWrXC0dGR4OBgJk2ahKIopVRrIcSdlGHO4bNNJ2g5bQNfbTlFVo6FpuW9+fWl5sx6oi5h3tKB6nok4CfEXUqr0VLDpwYG3bV/0fBjtx9Z8+gau7H6vB296VGxhxq0K0xlr8p0K9eNliEt1Xl5ezHV8a0D2Pfms6USLedezm5btvSsIa65Pan8nPzU9W29FCG3x2Db8Lb4OPpgUSz8efFPAKp7V8fd6I5Ba93nQ/GHAHim2jOEu4XjanAlIyeDIwlH7OplC4KeTT4LWMc/tKX7HFpnKAD7Lu9T04HGpcepy23m7JlT4BhdTr/M82uflx6At0nijz+pr6+uWKm+zjpv/WWPsUplHPys51HWyZNknc3t4WdLy5m6yRrwM0ZaU9IayuWem7aefM4NGwHWHn+OdesCEPTuVCr9uUVdTwghhBBCiNvt0UcfZe/evSxYsICjR4+yfPlyWrduzZUruX+bBAQEYDQaS/y9U1NTqV27Nh9//HGJb1uIwiiKQnZ29h15r+J8btzd3fHw8Lgj9cnrjz/+oH379qxatYp//vmHNm3a0L17d3bv3q2WSUtLo1y5crz77rsEBAQUup2LFy+W+PE8f/58iQbatFotDz/8MMuXL+fo0aPMnz+fdevWMWTIELVMUlIS7du3JygoiB07djB79mw++OADpk+frpZJTEwsECQUQtzdciwKP+08R5sPNvLu6sMkZWRTJcCV+c824LuBjagZ4l7aVbxrSMBPiHucycGEu7HkvhR/6v4T45qMo314ewC7oGGO8t84aHmCkL0r9aZTRCfAmlbVxtYbEOzHGsw7BmL+Ho5Vvaui0WjwdfIF4GD8QcAaNNRqtNT2rQ3AzpidmC1mAD5o9QFhrtaeheeSrQGhhAzrWH56rZ5wt3C1h6EtHWjecQDz71teH/3zEduitzFi44gCy8StURSF9AMH1Om0HTvU1+YL1oCfISREDeBlnjyV28MvNNRuHD4Aw3+BO2P5PAG/ytYegl79++E/9i1C5nyC1tERIYQQQggh7rTExES2bNnCe++9R5s2bQgPD6dhw4aMHj2arl27quXy9r6L/O8et27dumg0GrvUefPmzaNq1aqYTCaqVKnCnDkFf8CYV+fOnZk8eTI9e/Ys8X0T95f+/fuzadMmZs6ciUajQaPRcPr0aTZu3IhGo+G3336jfv36GI1GNm/ezIkTJ3j44Yfx9/fHxcWFBg0asG7dOrttRkREMGXKFAYMGICrqythYWF88cUX6vKsrCxeeuklAgMDMZlMREREMHXqVHV5cT43+VN6ZmZmMmzYMPz8/DCZTDRv3pwdef4ute3P77//Tv369XFycqJp06YcOXLkho7XjBkzGDlyJA0aNKBixYpMmTKFihUr8uuvv6plGjRowPvvv0+fPn2KDFx++eWXhISE8Oqrr7Ivz7j1t2Ls2LGUK1eO8ePHc/LkyVvenqenJy+88AL169cnPDyctm3bMnToUDZv3qyW+e6778jIyGD+/PnUqFGDnj17MmbMGKZPn64GH/fu3UtAQABPPfUUUVFRWCyWW66bEKJ0KIrChiOX6DprM6///C/RVzMIcjfx4WO1WTmsBa0r+8kwOjdIAn5CiBtSxasKj1V6zO7L1hakaxXSSp23/JHlvN/qfd5q/BY6rXXctBCXPGOl5QkK5h1Pz9sxNxAY4Rahvn6q6lM4652B3N6B51OsqR1tvfmaBTUDrOPx2YJ37kZ3NeB3JeMKR64cUXvveZm80Gg0uOpdAUjOSgYKD/gZdQVvqi+kXCgwT5SM7OholLQ0dTrz6FH15t4W8NMHB2P8L+CXdfKEOoafITQUQ3i43fZsAT+nxo2tMxwccG1nDVprdDq8nnwSpwceuH07JIQQQgghSo+iQFbqnf93Az1jXFxccHFxYdmyZWRmZhZrne3btwOwbt06oqOjWbJkCWB98P/mm2/yzjvvcOjQIaZMmcLYsWNZsGDBjR87UbbczLlsTruj5/PMmTNp0qQJgwYNIjo6mujoaELzDK0wcuRIpk6dyqFDh6hVqxYpKSl06dKFdevWsXv3bjp27Ej37t05e/as3XY//PBD6tevz+7duxk6dCgvvPAChw8fBmDWrFksX76cH3/8kSNHjvDtt98Ske9HoDZFfW7yGzlyJL/88gsLFixg165dVKhQgY4dO9r1uAV48803+fDDD9m5cycODg4M+G9YiJtlsVhITk7Gy8vr+oXzeOONN5g1axZHjhyhXr161KtXj5kzZxIXF3fTdZk1axZjx45l06ZNVKxYkZYtWzJ37lySk5Nvept5Xbx4kSVLltCqVe6zpG3bttGqVSu7wGbHjh25ePEip0+fBqBly5asXr0ao9FIr169CA8PZ8yYMTccbBVClK5/zyfS98u/eXbeDg7HJONmcmBMlyqsf601jz4Qgk4rgb6bUXQ+PyGEKKafu//M8cTjNA5srM6LdI8k0t0+HaKTPjfPsi39J9gH/LyMuTe1Ac65qSrybtsW8LOxjSPYLLgZ7ID9l/fjarAG8dwN7rgYXGgd2pqN5zay4uQKGgQ0sL7Xf4FKF4MLl9IvkZKVAsDVLGvAz8/Rj2drPMt7O95Tg4F5WZTcX5HlWHLUwKa4dZknTgCgDw/DfP4ClpQUsi9dQu/vr47hpw8OwZKeAUDGocNkx1rHdNSHhqJ1dUWj16OYrT09jeWs56JLs2aELViARq/HEBJ8p3dLCCGEEEKUBnMaTAm6frmSNuYiGJyLVdTBwYH58+czaNAgPvvsM+rVq0erVq3o06cPtWrVKnQdX19r5hNvb2+7NH9vv/02H374odpbLzIykoMHD/L555/Tr1+/W9wpUapu8FzWAh4l9d7FPJ/d3d0xGAw4OTkVmn5y0qRJtG/fXp329vamdu3a6vTkyZNZunQpy5cv56WXXlLnd+nShaFDrUNyvPHGG3z00Uds3LiRKlWqcPbsWSpWrEjz5s3RaDSE5/sBaF5FfW7ySk1N5dNPP2X+/Pnq2H9ffvklUVFRzJ07l9dff10t+84776gBq1GjRtG1a1cyMjIwmUzXPVaF+fDDD0lNTaV37943tJ7JZKJ379707t2bS5cu8f3337NgwQJef/11unTpQr9+/ejevTsODsV/FOzq6sqAAQMYMGAAZ86cYeHChUybNo1hw4bRo0cP+vXrR7t27W64980TTzzB//73P9LT0+nevTtfffWVuiwmJqZAsNbf319dFhkZiUajoVWrVrRq1YqPP/6YZcuW8c033/D+++/zwAMP0K9fP/r27Yu7u6QAFKIsOhufxvtrj/Dr3osAGBy09G8awdDW5fFwuvbQVeL6pIefEOKW+Tr50iSoSbFu8l6o/QKVPCvxUPmH1HkBTnlusvNsIm/AL++YfJ5GT7tt2lKF2gJ/GTkZxKVbf8VmS2dqS/d5JeMKY/8ca7fMFhy0BfWSMq29A6t4V8HN6Ga3zCYjO4Pdl3Jz6n/4z4fX2XNxI2wBP1OVqmpvvczjx1EsFswXrTcE+pBgNUVn6pYtoChonZzQeXmhNRgwVqqkbs9YpYr62rlRQ5zq1b1TuyKEEEIIIUSxPProo1y8eJHly5fTsWNHNm7cSL169Zg/f36xtxEXF8e5c+d47rnn1F6DLi4uTJ48mRP/3WMLUZrq169vN52amsrIkSOpVq0aHh4euLi4cPjw4QI9/PIGvjUaDQEBAVy6dAmwpuPcs2cPlStXZtiwYaxdu/aW6njixAnMZjPNmjVT5+n1eho2bMihQ4eKrFdgYCCAWq8btWjRIiZMmMDixYvx8/O7/gpF8PPzY/jw4ezatYv//e9/bNu2jZ49e7J///5Cy3/33Xd23xd5U2zahIeH89Zbb3HkyBHmzJnD//73Pzp06MDVqwUzJF3PRx99xK5du1i2bBknTpxgxAj7YVLyP1uyZfsp7JmTo6MjTzzxBKtXr+bAgQOYzWaGDh3KvHnzbrheQojbKz4lkwnLD9B2+kZ+3XsRjQZ61g1m/autGNOlqgT7Soj08BNC3FFD6wxlaJ2hdvP0Oj0RbhGcTjpNPb966nxfR1/1dd6AX0ZOht36th5/jg6O6LV6dfw+yA3quRmsgbvYtFg1pefJRGsOejXgZ7ZP6elucC+Q7tNmzek1dtMLDy5kZIOR19l7UVxZJ6xtYyxfDiwWsk6eJOvECYwVKqJkZYFOhz4gAI1eb7eeISJC/SPAd8QrXBw1CvfuD6H/7xeBQgghhBDiPqR3svZOKo33vUEmk4n27dvTvn17xo0bx8CBAxk/fjz9+/cv1vq2say+/PJLGjVqZLdMp5OMJHe9GzyXLRYLScnJuLm6otXe4m/+b+J8Loyzs30vwddff53ffvuNDz74gAoVKuDo6EivXr3Iysqyf/t8f/tpNBr1fK9Xrx6nTp1i9erVrFu3jt69e9OuXTt+/vnnm6pjUQEmRVEKzMtbL9uymxlTbvHixTz33HP89NNPtGvX7obXzys5OZmff/6ZhQsX8scff9CqVSv69etHtWrVCi3/0EMP2X1fBAcXzIZz+fJlfvjhB7755hv27NlD586d6dev3031ogsICCAgIIAqVarg7e1NixYtGDt2LIGBgQQEBBATE2NX3hZA9S/k7/rs7GyioqL45ptv+N///ke5cuV47733ePLJJ2+4XkKI2yM9K4e5W07y2aaTpGRmA9Cyki+jOlWhWpBbKdfu3iMBPyFEmfBT959Iz07H05Tbe8/WYw/AyzE31Wfesf0ANZWmRqOxC/YBODlY/yix9dQ7l3ROXfZsjWcBCo7h919KT3ejuxoMtI0JaLMzZueN7J4ohGKxkLRyFaYa1TFG2qd/VcfpCw1DsVggCjKPn8BU47/5/v5oHBxw8PND6+yMJTUVAGPV3J58Ls2aUamQXyYKIYQQQoj7jEZT7NSaZU21atVYtmxZocsMBusv4XNyctR5/v7+BAcHc/LkSXngfS+60XPZYgF9jnWdWw343QCDwWB3Xl7L5s2b6d+/Pz169AAgJSVFHavtRri5ufH444/z+OOP06tXLzp16sSVK1cKjIVX2OcmvwoVKmAwGNiyZQt9+/YFwGw2s3PnToYPH37DdbueRYsWMWDAABYtWkTXrl1vahs5OTmsXbuWhQsXsmzZMkJCQnjmmWeYP38+YWFh11zX1dUVV1fXAvMzMzP59ddf+eabb1izZg3Vq1enX79+rFy5Uk2NeqtswVXb2KVNmjRhzJgxZGVlqW21du1agoKC7FJ97t69m2+++YZFixaRnZ3NE088wR9//FGgB6kQovRk51j4+Z/zfLTuKLFJ1s94jWA3RneuSrMKPtdZW9wsCfgJIcoEk4MJk4N9jvtAl0AmNp2Ik94JvTb3V3NPVn2Sk1dPsvzEcl6v/3r+Tan6VO6j/sLO1sPvYmruryGfqPIEAEYH62DQ03ZM48mqT3Lq6inA2nOwqIDf4SvWwcGH1R3GrN2z0Gq0mC1mu3qKa0v49jtip0xB6+xMuZUr0OcZP8EcHQ2APjAQjYM1oJt18iTmC7bx+6y/ONRoNBjKlyfj338BMFWvfid3QQghhBBCiBIRHx/PY489xoABA6hVqxaurq7s3LmTadOm8fDDDxe6jp+fH46OjqxZs4aQkBBMJhPu7u5MmDCBYcOG4ebmRufOncnMzGTnzp0kJCQUSJ1nk5KSwvHjx9XpU6dOsWfPHry8vK4bLBAiv4iICP7++29Onz6Ni4tLgaBbXhUqVGDJkiV0794djUbD2LFjb7iH3EcffURgYCB16tRBq9Xy008/ERAQgIeHR4GyRX1u8nJ2duaFF17g9ddfVz8D06ZNIy0tjeeee+6G6nY9ixYt4plnnmHmzJk0btxY7d3m6Oio1isrK4uDBw+qry9cuMCePXtwcXGhQoUKAEyZMoUPP/yQ3r17s27dOpo2bXrLdRs6dCgrV66kb9++7Ny5s8jxRItr1apVxMbG0qBBA1xcXDh48CAjR46kWbNmajCvb9++TJw4kf79+zNmzBiOHTvGlClTGDdunPp8Z/PmzbRt25bOnTszZ84cunXrpgYHhRClT1EU1h26xLQ1hzl2KQWAEE9HXu9Yme61gtBqb2zcT3FjJOAnhCjTelbsWWCeycHEO83f4Z3m71xz3RH1c/+YdTfY38BX9Kyo9gwMdA5U58elxbErdhcAdf3qEuAcgIPWgSsZV9gXt4+avjUBSMhIAKBpUFM+3fspZouZS2mXCHYpmPpCFC7xl18AsKSmkrDoB/xeGQ5YbwzUgF9QIFpXFwAyT54k65Q1GGuIyB2E3a1DezXg51ICf9QIIYQQQghxp7m4uNCoUSM++ugjdfyw0NBQBg0axJgxYwpdx8HBgVmzZjFp0iTGjRtHixYt2LhxIwMHDsTJyYn333+fkSNH4uzsTM2aNa/ZM2nnzp20adNGnbYFBvv163dDYwgKAfDaa6+pKSTT09M59d/fcYX56KOPGDBgAE2bNsXHx4c33niDpKSkIssXxsXFhffee49jx46h0+lo0KABq1atKjSNaVGfm/zeffddLBYLTz/9NMnJydSvX5/ffvsNT0/PAmVvxeeff052djYvvvgiL774ojo/72fv4sWL1K2bOw79Bx98wAcffECrVq3Uuj/99NO8/vrrmEz2P6S+FaNHj+bzzz/HwaFkHh87Ojry5Zdf8sorr5CZmUloaCg9e/Zk1KhRahl3d3eioqJ48cUXqV+/Pp6enowYMcLuxwrVqlXjwoULJdbLUAhRcnafTWDqqsNsP20dTsnDSc/LD1bkqcZhGB0ktfidIAE/IcQ9KcQlBEcHR3Xa1lPPxsPoob5+vPLjfLr3UwA2nd9EQmYCjg6OVPeujl6np01oG6LORPF3zN/U9K2JoigkZFoDfl4mL3wdfbmYepG4tDgJ+BWTOTaWzCNH1On03bvV1zkJCSgZGaDR4BAQgIOPtZt/zpUrpO2yljOUK6+W93z6aRSzGQc/fwx5UnwIIYQQQghxtzAajUydOpWpU6des5wt/Z3NwIEDGThwYIFyffv2VVMRFkfr1q0LbFuIm1WpUiW2bdtmNy8iIqLQcywiIoL169fbzcsb+AIKTfG5Z88e9fWgQYMYNGhQkfUpzucmf2DbZDIxa9YsZs2aVeg2C/vM1KlT54Y/R4UFG/Mr6tjlL1PSbL0HS0qbNm3YunXrdcvVrFmTP/74o8jl3t7eJVktIUQJOBmXwvu/HWH1fmsvZaODlgHNIxnSqjzujpIN7U6SgJ8Q4p7yUeuPmLV7Fu+2eNduvi2lp42DJvfrz9vRm8qelTmScIRlx5cB0CK4BXqd9YJkGzMwJtV60UrLTlPHCvQweeDj6MPF1IvEp8cXWqeiBvy+n+UN9gFk7N+PkpODRqfDfNHau8/BxwetwQAGAw5BgWRfjCbtr78AMJbLHfNPazTi88ILd67yQgghhBBCCCGEEELc5+KSM5n1+zEWbT9LtkVBq4FH64UwokMlAt0dr78BUeIk4CeEuKe0C29Hu/B2Bea7Gd2IcIvgdNJpgALjBXo7ekMC7Lu8D4Cq3lXVZQHO1rHlbAG/A5cPAGDUGXF0cLSuC8RnFAz4xaTG8OyaZ7madZXF3RYT6hp6i3t4b8g8fgIA1/btSf3zTyxpaWQeP4GpciXM0dZxFh2CclOtGsuVJ/u/QCCAoXx5hBBCCCGEEEIIIYQQd1ZqZjZfbj7Jl3+cJDUrB4AHq/jxRqcqVA5wvc7a4naSgJ8Q4r6g1Wj55aFf2Bu3l7n75jK41mC75d4m+5QQXqbcQcVtY/zZAn7DNwwHIDMn07rufwG/y+mXC7zv1otbOZ9yHoAuS7qw9YmtBdKL3o+y/kvJYqhQnpyrV0nbvp2MAwcwVa5Etm38vsAgtbzTA/VI3bIFAI3RiD4wsMA2hRBCCCGEEEKIsuyRRx7Bw8OjtKtxR9SpU4f+/fuXdjWEECXInGNh8Y5zzFh3jMsp1ueitUPcGd2lKo3LSbrdskACfkKI+4ZBZ6BBQAMaBDQosMzHycdu2tOYOxC3v7M/ALFpsQAkm5Pt13W0rnsi8YTd/ISMBMZvHW8378iVI9QPqH+Te3DvMJ+3BkENIaFYkpJJ276dzBPHrcv+68mnD8oN+Dm3aEncTOvYCc5NmqDRyUC/QgghhBBCCCHuLo888khpV+GOqVOnDnXq1CntagghSoCiKPx2IJZpaw5z8nIqAOHeTrzesTJdawbKMEZliAT8hBACqORZyW7a05Qb8LP1/kvMTCTbko270Z2rmVcZ12QcALV9awPw+9nfuZp5FXejOwDrzq4r8D5ZlqzbUv+7TdYFa8BPHxKCkmX9RVDWf2k+zRetKT3z9uIzVa+GU+PGZB4/ju8rw+9sZYUQQgghhBBCCCGEuA/tPH2FqasP88+ZBAC8nA38X9uKPNEwDIODtpRrJ/KTgJ8QQgA1vGvYTedN6elh9ECDBgWFxMxEUs3WX7K0CG4BQPPg5rjoXUgxpxCXFqcG/Bw0Bb9ik7KSbtcu3DUUiyW3F19wMBqt9VdAmcdtPfz+C/jlGcNPo9EQNu9ryMlB4yCXLiGEEEIIcW0Wi6W0q3BPUxSltKtw35BjLUTJkc+TEMV3/FIy7605QtRBa8YzR72OgS0ieb5lOVxN+lKunSiKPDUVQgggzC2Mun512X1pN2Dfw0+n1eFh9CAhM4G9l/aSbckGwM3gppZxN7qTYk4hxZyizsv7unFgY/6K/oukTAn4ZV+6BGYz6HToA/zROjsBYL5wAUtqau74fuHhdutpNBqQYJ8QQgghhLgGg8GAVqvl4sWL+Pr6YjAYJM1UCVIUhczMTOLi4nBwcMBgMJR2le5Zer31YWpaWhqOjo6lXBsh7g1ZWdasS7bPlxCioEtJGXy07hiLd5zFooBOq6F3/VBeaVcRPzdTaVdPXIc8ORVCCECr0fJN52+YvXs2GjS4GlztlidkWrutD984HAAHrQOODrl/dNnK5w3yXc28CsDjlR8nIzsDkB5+kDt+nz4wEI2DAw6enui8vcmJjyf17+1YUlJAq0UfFlbKNRVCCCGEEHcbrVZLZGQk0dHRXPwvc4QoWYqicOXKFerXr49WK6m8bhedToeHhweXLl0CwMnJ6YaD1xaLhaysLDIyMqStSpG0Q+lTFIWUlBQuX76Mr68vOp2utKskRJmTnGHmiz9O8tXmU6SbcwBoX82fNzpVpoKf63XWFmWFBPyEECKPl+u+XKxy7gZ3uz+2nPXOgH3AzxbcczO4YdBZf/l6JeNKSVX1rmW+cAGwpvO0MZYvT1p8PMlRUdZloSFo5dfCQgghhBDiJhgMBsLCwsjOziYnJ6e0q3PPURSFY8eOSQ+ZOyAgIABADfrdKEVRSE9Px9HRUXq6liJph7JBURQSEhKoXr16aVdFiDIlK9vCou1nmfX7MeJTrb1g64V5MLpLVRpEeF1nbVHWSMBPCCGKoXel3vx49Ed12sfRx265i94FgJSs3IDfkStHgP8CfjnW4NXCgwsZXm+4GgC8H5mj/xu/LyhInWesWJG07dtJWrXKOh1ZrlTqJoQQQggh7g0ajQa9Xi9BqdvAbDaXdhXuGxqNhsDAQPz8/G7quJvNZv744w9atmwpn4VSJO1Qdhw7dkyCrkL8R1EUVvx7kfd/O8KZ+DQAyvk4M7JTFTpW95fPyl1KAn5CCFEMrzd43S7g98oDr9gtdzFYA36p5lQAolOi2XVpFwBuRjce8HiAT/Z8AsD5lPOUc79/A1rm6BgA9IEB6jzH2rVI+O47lMxMAAyRkaVSNyGEEEIIIYQoa3Q63U2lINTpdGRnZ2MymSTQVIqkHcoG+bGCELmOXdUw9/O/+feCNTuZj4uR4e0q8niDUPQ6ST18N5OAnxBCFIPJIXdQWg+jB82Cm9ktV3v4/ZfS82jCUXVZFa8qVPOuRrhbOGeSznAl/cp9HvCzjqXiEBioznOqX9+ujGO9une0TkIIIYQQQgghhBBC3MuOxCQzddVBNh7VAUk4GXQ837Icg1qUw9kooaJ7gYRrhRDiBnmZCuavtgX8Ptv7GYqiEJsWC0Bdv7pU865mt979Po5ftq2HX0BuwE8fFISpZk0AtG5uuDRtWip1E0IIIYQQQtwfLly4wFNPPYW3tzdOTk7UqVOHf/75R12uKAoTJkwgKCgIR0dHWrduzYEDB+y2kZmZycsvv4yPjw/Ozs489NBDnD9//k7vihBCCHFN0VfTGfnzXjrP/IONRy+j1Sg82TCUTa+3YXi7ShLsu4dIwE8IIYqpQ3gHAF6o80KBZTV8aqivL6Vd4lKadVD1ih4V1fneJm8A4jPib2c1ywQlOxvLf+k58zPH/BfwCwq0mx/8wfu49+xJyKxZaJ2db3sdhRBCCCGEEPenhIQEmjVrhl6vZ/Xq1Rw8eJAPP/wQDw8Ptcy0adOYPn06H3/8MTt27CAgIID27duTnJyslhk+fDhLly7lhx9+YMuWLaSkpNCtWzdycnJKYa+EEEIIe0kZZt5bc5jW72/kx53nsSjQsZofo2vnMKF7VXxdjaVdRVHCJHQrhBDF9E7zd3iu5nNU9apaYFm78HbotXrMFjOX0y8Tlx4HgJ+Tn1rmfunhl3P1Kqd7P052fDwhs2fh3KRJ7rKUFCz//YGsDwiwW88QHk7QlHfuaF2FEEIIIYQQ95/33nuP0NBQ5s2bp86LiIhQXyuKwowZM3jzzTfp2bMnAAsWLMDf35/vv/+ewYMHc/XqVebOncvChQtp164dAN9++y2hoaGsW7eOjh073tF9EkIIIWwys3P49q+zfLz+GAlp1vErG0Z4MapLFWoGurBq1cVSrqG4XSTgJ4QQxWRyMKnpOQtT0bMiB+MPcjn9MjGp1l5s/s7+6nJvx/96+KXf2z38Ehb9QNaZMwDETplKuV+Xq8uyo6MBa9pO6cUnhBBCCCGEKA3Lly+nY8eOPPbYY2zatIng4GCGDh3KoEGDADh16hQxMTF06NBBXcdoNNKqVSu2bt3K4MGD+eeffzCbzXZlgoKCqFGjBlu3bi004JeZmUlmnkwoSUlJAJjNZsxmc4nvp22bt2PbovikHcoGaYeyQdrh9rJYFFbsi+Gjdcc4n5gBQHlfZ15vX5EHq/ii0WikDcqI67XDzbaPBPyEEKKE+Dj6ABCXHsepq6cACHEJUZffLz38UjZsUF9nHjtG5smTGMuVA8D8X8BPHxhY6LpCCCGEEEIIcbudPHmSTz/9lBEjRjBmzBi2b9/OsGHDMBqNPPPMM8T8NwyBv7+/3Xr+/v6c+e/HjTExMRgMBjw9PQuUsa2f39SpU5k4cWKB+WvXrsXJyakkdq1QUVFRt23bovikHcoGaYeyQdqh5B25qmH5GS3nUzUAuOsVOodaaOh3lcxTO1l9yr68tEHZUFQ7pKWl3dT2JOAnhBAlxNfRF4CZu2aSmJkIQIhrbsDP1sPvXg74KTk5ZBw+DIA+KAjzxYukbd+eJ+D33/h9+dJ5CiGEEEIIIcSdYrFYqF+/PlOmTAGgbt26HDhwgE8//ZRnnnlGLafRaOzWUxSlwLz8rlVm9OjRjBgxQp1OSkoiNDSUDh064ObmdrO7UySz2UxUVBTt27dHr9eX+PZF8Ug7lA3SDmWDtEPJOxSdzPtrj7L5uDWjmLNRx+AWkfRvEo6jQVegvLRB2XC9drBlAbhREvATQogSYkvfaQv2QeFj+BWV0lNRFL7a9xUVPSvSOrT1bavn7ZR15ixKZiYaR0fcHupO/Gefk757D559+gBgjrH28HMIkh5+QgghhBBCiNIRGBhItWr2wzVUrVqVX375BYCA/36gGBMTQ2Ce7CSXLl1Se/0FBASQlZVFQkKCXS+/S5cu0bRp00Lf12g0YjQaC8zX6/W39aHr7d6+KB5ph7JB2qFskHa4dRcS0/lw7RGW7r6AooBep+HJRuG8/GAFvF0KXmvykzYoG4pqh5ttG+2tVkgIIYRVJc9KBaa1mtyvWW9T0T38FEWh29JuzNo9i5fXv4yiKLe3srdJ5tGjABgrVMCpbl0A0vfuVZdnX/wvpWeABPyEEEIIIYQQpaNZs2YcOXLEbt7Ro0cJDw8HIDIykoCAALs0W1lZWWzatEkN5j3wwAPo9Xq7MtHR0ezfv7/IgJ8QQghxq66mmZmy6hBtPtjIkl3WYF+3WoGsG9GKCQ9VL1awT9y7pIefEEKUkPwBv3FNxtlN21J6pphTSMlKwcXgoi47nXSas8ln1emzyWcJdwu/jbW9PdSAX6WKONauDUDW6dNkJyTg4OmJ+b+xLPTSw08IIYQQQghRSl555RWaNm3KlClT6N27N9u3b+eLL77giy++AKypPIcPH86UKVOoWLEiFStWZMqUKTg5OdG3b18A3N3dee6553j11Vfx9vbGy8uL1157jZo1a9KuXbvS3D0hhBD3oAxzDgu2nuaTDcdJysgGoEk5b0Z1rkLtUI/SrZwoMyTgJ4QQJSTEJYRA50CiU6292Gw9+mxcDa4EuwRzIeUC+y7vo0lQE3VZSlaKXdk9l/bcnQG/EycAMFaoiM7DA0N4OFlnzpCx/wAuLZpjjrb18JMx/IQQQgghhBClo0GDBixdupTRo0czadIkIiMjmTFjBk8++aRaZuTIkaSnpzN06FASEhJo1KgRa9euxdXVVS3z0Ucf4eDgQO/evUlPT6dt27bMnz8fna7gmElCCCHEzcixKCzbfYHpUUe5kJgOQGV/V0Z1qULrSr7XHVtW3F8k4CeEECVEo9Ewudlknlv7HJDboy+vWr61uJBygQPxB+wCfgmZCXbl5h+YT6fIThh1d1c3/OzYWAD0wUEAmGrVIuvMGdL3/Ytzk8Zk/xfwcwgMKrU6CiGEEEIIIUS3bt3o1q1bkcs1Gg0TJkxgwoQJRZYxmUzMnj2b2bNn34YaCiGEuJ8pisKmo3G8u/owh2OSAQh0NzGifSV61gtBp5VAnyhIAn5CCFGCqvtUR6fR4e/kj6ODY4HlAc7Wnm35x/FLyLAP+B1PPM4/sf/QNOjuGvsh+9IlAPR+fgA41qxB0q+/krFvP1lnz6KYzWicnCSlpxBCCCGEEEIIIYQQhdh/4SpTVx/iz+PxALiaHHixTQX6N43ApJde5KJoEvATQogS5Kx3ZtPjm9Br9YUud9Vb07/kT+E5b/88AFqHtOZKxhX+vfxvgSBgWadYLJjj4gBw+C/gZ6pRE4D0fftyx/erUAGNVls6lRRCCCGEEEIIIYQQogw6dyWN9387wvK9FwEw6LQ80yScF9tUwNPZUMq1E3cDCfgJIUQJcze6F7nMxeACQIo5N+CXZk7jxFXr2HeODo74O/vDZbiaefX2VrSE5SQmgtkMgIOPDwCmalVBpyPn8mVS/tgMgLFSxdKqohDiPxMmTGDixIl28/z9/YmJiSmlGgkhhBBCCCGEEPenK6lZfLz+OAv/Oo05RwHgkTpBvNqhMqFeTqVcO3E3kYCfEELcQS56a8AvOStZnXc+5bz6+qEKD7H+7Hrg7gv42dJ56ry80BisvzrSmkwYK1ci8+Ahri5ZAoCpogT8hCgLqlevzrp169RpnU7SggghhBBCCCGEEHdKelYOX/95is82niA5Mxv+n737jo+qSv84/pmZTDpJSEISSiChd0VQmkhvKqDuihVB0J+ISxULdlwFxLqiKLgIiii7KpZVEKICoqxKVXqNBAIhhPQ67f7+iIlmQ0lCkpmE7/v12tfOnHvuuc9w4mQyzz3PAXq1COehIa1p3/DsCwpEzkYJPxGRahTkHQSUTPglZiUC0Ca0DVc2vJItJ7cAkGGrmQk/r8jIEu0B3bpTsHtP8XPf9u2rNS4ROTMvLy+ioqLcHYaIiIiIiIjIRcXpMvh4yzFeittPUmY+AG3rB/Hw0NZc1bKem6OTmkwJPxGRalRU0jO9IL24LTG7MOHXqE4jAIK9C+/gWb53OQ9f8XD1BngBihN+ESU/mAQNHUrq228XHouMxO/SS6s7NBE5gwMHDtCgQQN8fHzo2rUrs2bNomnTpmftX1BQQEFBQfHzzMxMAOx2O/bfy/lWpqIxq2JsKRvNgWfQPHgGzYNn0Dx4hvPNg+ZHRETkzAzDYO2+ZOas2sv+k4Xb/TQM8WP64JaMuKQhZrPJzRFKTaeEn4hINSoq6ZmYncjWk1u5LPKy4oRfw8CGwB97ADoNJ0cyj9AkqIl7gi0n++8JP2tERIl2vw7tCZ/4N9I/+pioJx7HpLKBIm7XtWtX3n33XVq2bMnJkyd55pln6NGjB7t27SIsLOyM58yePbvUvn8Aa9aswd+/6vYUiIuLq7KxpWw0B55B8+AZNA+eQfPgGc42D7m5udUciYiIiOfbfjSd2Sv38FN8KgDBflYm9mvO7d2a4GvVd2VSOZTwExGpRuF+4cWPfzrxE5dFXla8h19Rwq9nw57FfVLyUmpMwq94hV+9iFLH6t13H/Xuu6+6QxKRsxg6dGjx4w4dOtC9e3eaNWvGO++8w7Rp0854zowZM0ocy8zMJDo6mkGDBhEUFFTpMdrtduLi4hg4cCBWq7XSx5fz0xx4Bs2DZ9A8eAbNg2c43zwUVQEQERER+C0lh+dX7+PLHScA8PYyc2fPGCb0bk6wvz7PSOVSwk9EpBqF+YURXSeao1lHybHnkO/IZ93RdcAfCb8I/wjahbVj1+ld5Nhz3BdsOTlOFpX0LJ3wExHPFhAQQIcOHThw4MBZ+/j4+ODj41Oq3Wq1VumXrlU9vpyf5sAzaB48g+bBM2gePMPZ5kFzIyIiAinZBcz75gDLfkrA4TIwmeAvlzVi2sCWNAjxc3d4Uksp4SciUs1uaHED/9j6D9IL0lkVv6q4PSYopvhx0V5/Wbas6g6vwv7Yw08JP5GapqCggD179tCrVy93hyIiIiIiIiJSY+XaHPxzQzwL1h8ix+YEoE+rejw0pDVt6ld+dRyRP1PCT0SkmhXt0ZdhyyApJwkAi8lCdFB0cZ+ivf5q1Ao/JfxEaozp06czbNgwGjduTHJyMs888wyZmZmMHj3a3aGJiIiIiIiI1DgOp4t/bz7Gy1/v51RWAQAdGwXz8NDW9GgWfp6zRSqHEn4iItUsxCcEgPT8dD7c/yEAY9uPLdEnwBoAQLY9u1pjqyjD4cBx+jQA1kgl/EQ83bFjx7jllltISUmhXr16dOvWjR9//JEmTWrGnqEiIiIiIiIinsAwDNbsPsncr/Zy6FThjfvRoX48OLg113Soj9lscnOEcjFRwk9EpJoFexeu8Nt+antxW13fuiX6FK3wy7bVjISf43QquFxgsWAJDXV3OCJyHsuXL3d3CCIiIiIiIiI12pYjqcxeuZfNR9IACA3wZmK/5tzWtQneXmY3RycXIyX8RESqWaM6jUq1Fa36K1LTVvgVl/MMD8dksbg5GhERERERERERkapx6FQ2c7/ay+pdJwHwtZoZd2Us9/RuRpCv1c3RycVMCT8RkWrWILABo9uO5p3d7xS3OVyOEn3qeNcBCst+1gSOU9q/T0REREREREREaq/krHz+8fUBlm86itNlYDbByC7RTBnQkqhgX3eHJ6KEn4iIO4ztMLZEwq9LVJcSx1vWbQnArym/VmtcFeU4WXhHkxJ+IiIiIiIiIiJSm2QXOFj43WH+ueEwuTYnAAPaRPDQkNa0iKzj5uhE/qCEn4iIG4T6/rHP3ai2o4iuE13ieKeITphNZhKzE0nJSyHcL7y6QywXe1FJz4h6bo5ERERERERERETkwtmdLpb/nMA/vjlASrYNgEujQ3jk6jZcERt6nrNFqp8SfiIibvJq31dZd2wdkzpNKnXM3+pPiE8IqfmppOanenzCr2gPP2tkpJsjERERERERERERqTjDMFi1M4nnV+8jPiUHgNjwAB4Y3Iqh7aMwmUxujlDkzMzuDmD+/PnExsbi6+tL586d2bBhwzn7L1u2jEsuuQR/f3/q16/PnXfeyenTp6spWhGRytO3cV9m9piJr9eZa3yH+IQANWMfP0fyKQC86qmkp4iIiIiIiIiI1Ew/HT7N9fM3MmHZVuJTcggP9ObvI9qxZupVXN2hvpJ94tHcmvD717/+xZQpU3j00UfZtm0bvXr1YujQoSQkJJyx//fff88dd9zBuHHj2LVrFx9++CGbNm3irrvuqubIRUSqXlHCL60gzb2BlIGjuKSnEn4iIiIiIiIiIlKzHDiZxV3vbOKmhT+y/Wg6/t4WJvVvwboH+jKqewxWi9vXTomcl1tLer700kuMGzeuOGH3yiuvsHr1at544w1mz55dqv+PP/5ITEwMkyYVlr+LjY3lnnvuYe7cudUat4hIdajrWxeoKSv8lPATEREREREREZGa5WRmPi/H7effm4/iMsBiNnHz5dFMHtCCiDpnrsol4qnclvCz2Wxs2bKFhx9+uET7oEGD2Lhx4xnP6dGjB48++igrV65k6NChJCcn89FHH3HNNdec9ToFBQUUFBQUP8/MzATAbrdjt9sr4ZWUVDRmVYwtIheXIGsQAKdzT1f6e0plvlcZNhvOtN9XIYbW1fufVKmq/D2rn10RERERERGRi0Nmvp0F6w+x6Pt48u0uAAa3i+TBIa1pVi/QzdGJVIzbEn4pKSk4nU4iIyNLtEdGRpKUlHTGc3r06MGyZcu46aabyM/Px+FwMHz4cObNm3fW68yePZuZM2eWal+zZg3+/v4X9iLOIS4ursrGFpGLw+m8wv1Jt+/bzsqjK6vkGpXxXuWVmkpTwOXlxeoffgDVMpdqUBW/Z3Nzcyt9TBERERERERHxHDaHi/d+PMK8bw+Qllt442+XJnWZcXVrOjcJdXN0IhfGrSU9gVKbXBqGcdaNL3fv3s2kSZN44oknGDx4MCdOnOCBBx5g/PjxLFq06IznzJgxg2nTphU/z8zMJDo6mkGDBhEUFFR5L+R3druduLg4Bg4ciNVqrfTxReTikbonle+2fUdI/RCu7nl1pY5dme9Vedu3kwh4R0Zy9TlWXItUhqr8PVtUBUBEREREREREaheXy+CLHSd4YfU+ElILb/htWi+Ah4e0ZmDbyLPmJERqErcl/MLDw7FYLKVW8yUnJ5da9Vdk9uzZ9OzZkwceeACAjh07EhAQQK9evXjmmWeoX79+qXN8fHzw8fEp1W61Wqs0IVfV44tI7RcWEAZAhj2jyt5PKuO9Ku90auFYkZF635NqUxW/Z/XzKyIiIiIiIlL7bDyYwuxVe9mRmAFAvTo+TB3QkpFdGuFlMbs5OpHK47aEn7e3N507dyYuLo7rr7++uD0uLo4RI0ac8Zzc3Fy8vEqGbLFYgMKVgSIitUmITwgAaflp7g3kPBzJyQB4RUS4ORIREREREREREZFCe5MymbNqL+v2nQIgwNvC+N7NGNcrFn9vtxc/FKl0bv2pnjZtGqNGjaJLly50796dhQsXkpCQwPjx44HCcpyJiYm8++67AAwbNoy7776bN954o7ik55QpU7jiiito0KCBO1+KiEilq+tTF4D0gnT3BnIejlO/J/zq1XNzJCIiIiIiIiIicrE7np7Hi2v2s2LbMQwDvMwmbuvamIn9WxAeWLoaoEht4daE30033cTp06d5+umnOXHiBO3bt2flypU0adIEgBMnTpCQkFDcf8yYMWRlZfHaa69x//33ExISQr9+/Xjuuefc9RJERKpMiG8I4PkJP/uJwtLM1qgoN0ciIiIiIiIiIiIXq4xcO/PXH2TxD79hc7gAuKZDfR4Y3IqY8AA3RydS9dy+bnXChAlMmDDhjMeWLFlSqm3ixIlMnDixiqMSEXG/cL9wAPIceaTlp1HXt66bIzoz+4kTAFjrK+EnIiIiIiIiIiLVK9/uZOl/j/Da2oNk5NkB6Bobyoyr23BpdIh7gxOpRm5P+ImIyJn5efnRIKABx3OOczjjMJ19O7s7pDNy/J7w84qq7+ZIRERERERERETkYuFyGXz2SyIvrN5PYnoeAC0jA3l4aGv6torAZDK5OUKR6qWEn4iIB4sNif0j4RfpeQk/w+nEnly4h59W+ImIiIiIiIiISHX4bv8p5qzay+4TmQBEBfkybWBL/tK5ERazEn1ycVLCT0TEg9UPKFw1l5KX4uZIzsyRchocDrBY8KpXz93hiIiIiIiIiIhILbYzMYM5q/by/cHC78rq+Hhxb99m3NkjFj9vi5ujE3EvJfxERDxYHWsdALJt2W6O5MwcJ44D4BURgclLv1JERERERERERKTyHU3N5cU1+/h0e+F3UVaLiVHdYvhbv+aEBni7OToRz6BvZ0VEPFgd798TfnbPTPjZk5IAsEapnKeIiIiIiIiIiFSutBwbr689yLv/PYLN6QJgxKUNmD6oFdGh/m6OTsSzKOEnIuLBAr0DAciyZbk1jozPPyf1nXepN3UqgVf2LG63HUkAwNqokbtCExERERERERGRWibf7mTxD78xf91BsvIdAPRsHsbDQ9rQoVGwm6MT8UxK+ImIeLBAa2HCz50lPXO3buP4gw8BcPT//o+mX36BT2wsALbDhwDwadbUbfGJiIiIiIiIiEjt4HQZfLz1GC/H7edERj4AbeoH8fDQ1lzVIhyTyeTmCEU8lxJ+IiIezBNKemZ89tkfT1wu0j/6iMgHHgCg4HA8AN5NlfATEREREREREZGKMQyDdftOMWfVXvadLKx01SDYl+mDW3HdpQ0xm5XoEzkfJfxERDxY0Qq/pJyks/bJsmUVJwarQu6PPwIQfMMNZKxYQeYXXxJx//1gMmE7fBgAHyX8RERERERERESkAn45ms7sVXv48XAqAEG+XvytX3Pu6B6Dr9Xi5uhEag6zuwMQEZGzC/YprEl+Ku8U25K3lTjmMlw8++Oz9PigB58c+KRKrm9PSsJ25AiYzUTcPw1zUBCOkyfJ/XkTjuRkXDk5YLHg3bhxlVxfRERERERERERqpyOnc/jb+1sZ8foP/Hg4FW8vM/93VVO+e7Av/3dVMyX7RMpJCT8REQ/WNLgpdayFq/cOpB0oceyzg5+xfN9yAJ7Y+ESVXD9v+y8A+LZujVdYGEGDBwGQ/tFH5O/aBYB3TAwmb+8qub6IiIiIiIiIiNQup3NsPPX5Lga8tJ4vfj2ByQQ3XNaQb+/vzSNXtyHEX98ziVSESnqKiHgwi9lC/yb9+fTgp2TaMkscW7RzUYnnTpcTi7ly73yyxf9esrNFCwBCbr6Z9A8/InP1akxehb9C/Lt0qdRrioiIiIiIiIhI7ZNrc7DmmIlHXt5AToETgKta1uPhIa1p2yDIzdGJ1HxK+ImIeLii/fmybFkl2r0tJe92+vjAx4xsNbJSr10QH194rdhYAPzatcOnZUsK9u8n49NPAQjo2aNSrykiIiIiIiIiIrWHw+nioy3HeCluP8lZFsBJ+4ZBzBjahp7Nw90dnkitoZKeIiIe7kwJvzxHXqkSn18e/rLSr21POAqAd5M/9ugLH39P8WNL3boE9upV6dcVEREREREREZGazTAM4nafZMg/NvDwih0kZxUQ6mPw4l878Pl9VyrZJ1LJtMJPRMTDBXkXljT4c8Lv84Ofl+pX17dupV/bfvw4ANZGjf6I5+qrKTh0mNzNm4mYfj9mP79Kv66IiIiIiIiIiNRcWxPSmL1yD5t+SwMgxN/KhN5NCUvdxfBL6mM2m9wcoUjto4SfiIiHK1rhdyrvVHHbf0/8F4A2oW2495J7mbR2EidyTlTqdV02G47kZACsDRuWOFZv4t8q9VoiIiIiIiIiIlLzHT6VzfOr97FqZxIAPl5mxl4Zy/jezfD3gpUrd7k5QpHaSyU9RUQ8XB1rYcJvy8ktHM8uXHG3I2UHAA9c/gCN6hSuvjuSeQTDMCrtuo7fV/eZfH2x1K381YMiIiIiIiLu8NRTT2EymUr8Lyoqqvi4YRg89dRTNGjQAD8/P/r06cOuXSW/oC4oKGDixImEh4cTEBDA8OHDOXbsWHW/FBERj3Eqq4DHPt3BwJe/Y9XOJMwmGNmlEese6MNDQ1oT7Gd1d4gitZ4SfiIiHq5DvQ7Fj7cnb2fhrwtJzi1ceRcTFENMUAxWs5Ucew6J2YmVdt3icp4NG2IyqcyCiIiIiIjUHu3atePEiRPF/9uxY0fxsblz5/LSSy/x2muvsWnTJqKiohg4cCBZWX9sszBlyhQ++eQTli9fzvfff092djbXXnstTqfTHS9HRMRtcgocvPL1fno/v5b3fkzA6TLo1zqCVZOvYu5fL6F+sLaCEakuKukpIuLhwv3CubbptXxx+AtO5Jxg3rZ5JY6ZTCaahTRjb+pe9qXtK17xd6FsiYXJQ2uDBpUynoiIiIiIiKfw8vIqsaqviGEYvPLKKzz66KPccMMNALzzzjtERkby/vvvc88995CRkcGiRYtYunQpAwYMAOC9994jOjqar7/+msGDB1fraxERcQe708XyTUf5x9cHSMkuAOCSRsHMuLoN3ZqGuTk6kYuTVviJiNQA9QPqA7Bo56Litug60cUr71rWbQnA/tT9lXbNP1b4KeEnIiIiIiK1y4EDB2jQoAGxsbHcfPPNHD58GID4+HiSkpIYNGhQcV8fHx969+7Nxo0bAdiyZQt2u71EnwYNGtC+ffviPiIitZVhGHy18wSDX/6Oxz/dSUp2AU3C/Hn91sv49L6eSvaJuJFW+ImI1AD1AwsTflm2P0rIvNzn5eLHreq2AmBf2r5Ku6bjZGHZUOsZ7noVERERERGpqbp27cq7775Ly5YtOXnyJM888ww9evRg165dJCUlARAZGVninMjISI4cOQJAUlIS3t7e1P2fvc4jIyOLzz+TgoICCgoKip9nZmYCYLfbsdvtlfLa/qxozKoYW8pO8+AZNA+VY/ORNOau3s+2oxkAhAZY+VufZtzUpRHeXmYcDsc5z9c8uJ/mwDOcbx4qOj9K+ImI1ACXR15eqi3M7487pmKCYwA4nn280q7pOJ0CgCVMd2aJiIiIiEjtMXTo0OLHHTp0oHv37jRr1ox33nmHbt26AZTax9wwjPPubX6+PrNnz2bmzJml2tesWYO/v395XkK5xMXFVdnYUnaaB8+geaiYpFz4IsHMjrTCgoHeZoO+9Q36NcjDN3UnX6/ZWa7xNA/upznwDGebh9zc3AqNp4SfiEgNEBMcQ+M6jUnISihuq+vzx92kQd5BAGTaMivtms6U0wB4hYVX2pgiIiIiIiKeJiAggA4dOnDgwAGuu+46oHAVX/369Yv7JCcnF6/6i4qKwmazkZaWVmKVX3JyMj169DjrdWbMmMG0adOKn2dmZhIdHc2gQYMICgqq5FdVuDogLi6OgQMHYrVaK318KRvNg2fQPFTMycx85q09xIe/JuIywGI28dfLGjKpXzMi6viUezzNg/tpDjzD+eahqApAeSnhJyJSQ7w9+G0GfFS4IfxfW/4Vi9lSfCzYJxiAzILKS/g5Tv+e8AvXCj8REREREam9CgoK2LNnD7169SI2NpaoqCji4uLo1KkTADabjfXr1/Pcc88B0LlzZ6xWK3FxcYwcORKAEydOsHPnTubOnXvW6/j4+ODjU/oLcqvVWqVfulb1+FI2mgfPoHkom6x8Owu/O8w/N8STZ3cCMKhtJA8OaU3ziMALHl/z4H6aA89wtnmo6Nwo4SciUkNE+EfQu1Fvsu3ZPNb1sRLHihJ+WfYsnC5niWRgRRiG8UfCTyU9RURERESkFpk+fTrDhg2jcePGJCcn88wzz5CZmcno0aMxmUxMmTKFWbNm0aJFC1q0aMGsWbPw9/fn1ltvBSA4OJhx48Zx//33ExYWRmhoKNOnT6dDhw4MGDDAza9ORKTibA4X7/90hFe/PUhqjg2AyxqH8MjVbegSE+rm6ETkfJTwExGpIUwmE6/1f+2Mx4pKegJk2bII8Q25oGu5MjLg981hLeEq6SkiIiIiIrXHsWPHuOWWW0hJSaFevXp069aNH3/8kSZNmgDw4IMPkpeXx4QJE0hLS6Nr166sWbOGOnXqFI/x8ssv4+XlxciRI8nLy6N///4sWbIEi+XCbr4UEXEHwzD4cscJnl+9jyOnC/cOaxoewINDWjO4XeR59zAVEc+ghJ+ISC3gZfYiwBpAjj2HDFvGBSf8ilb3mevUwXyGkjMiIiIiIiI11fLly8953GQy8dRTT/HUU0+dtY+vry/z5s1j3rx5lRydiEj1+u+h08xZtYdfjmUAEB7ow5QBLbjp8misFrOboxOR8lDCT0SklgjzDSPHnsPRrKM0CWpyQWM5UlTOU0RERERERESkttqXlMWcVXtYu+8UAP7eFv7vqqbc3aspAT5KG4jURPovV0SklugS1YWErAR+SPyBKxteeUFjOU+nAGAJV8JPRERERERERKS2OJGRx0tr9vPx1mO4DPAym7jlisZM6t+CenVU5UmkJlPCT0SklmgX1o4VB1ZwPPv4BY/1xwo/7d8nIiIiIiIiIlLTZeTZeXP9Id7+Pp4ChwuAqztE8cDg1sSGB7g5OhGpDEr4iYjUEv5WfwByHDkXPFbRHn4q6SkiIiIiIiIiUnMVOJws/e8RXlt7kPRcOwBXxITy8NWtuaxxXTdHJyKVSQk/EZFaIsCr8G6sXHvuBY/lUElPEREREREREZEay+Uy+PyX47ywZh/H0vIAaB4RyMNDWtO/TQQmk8nNEYpIZVPCT0SklgiwFib8cuwXvsLPWVTSM1wlPUVEREREREREapLvD6Qwe9Uedh3PBCAyyIepA1ry186N8LKY3RydiFQVJfxERGqJykz4FZf0VMJPRERERERERKRG2HU8gzmr9rLhQGHlpkAfL+7t04yxPWPx87a4OToRqWpK+ImI1BJFe/hVRklPZ2oqAJa6quUu4ikcDgfPPvssY8eOJTo62t3hiIiIiIiIiIc4lpbLS2v288n2RAwDrBYTt3VtwsR+zQkL9HF3eCJSTbR+V0SklvD3Kkz45ThyMAzjgsZypqcDYAkJucCoRKSyeHl58fzzz+N0Oit97NmzZ2MymZgyZUqljy0iIiIiIiJVIz3XxrNf7qbfi+tZsa0w2TfskgZ8Pa03Tw1vp2SfyEVGK/xERGqJopKeLsNFvjMfPy+/Co1j2Gy4cgrLgirhJ+JZBgwYwLp16xgzZkyljblp0yYWLlxIx44dK21MERERERERqTr5difvbPyN19ceJDPfAUD3pmHMuLo1HRuFuDc4EXEbJfxERGoJf6s/JkwYGGQUZFQ44efMyCh8YDJhCQqqxAhF5EINHTqUGTNmsHPnTjp37kxAQECJ48OHDy/XeNnZ2dx222289dZbPPPMM5UZqoiIiIiIiFQyp8vg022JvLhmH8cz8gFoHVWHh4a2pk/LephMJjdHKCLupISfiEgtYTaZaRbSjIPpB9l9ejdRAVEVGqe4nGdQECaLNnQW8ST33nsvAC+99FKpYyaTqdzlPu+77z6uueYaBgwYoISfiIiIiIiIhzIMg/X7TzFn1V72JmUBUD/Yl2kDW3LDZY2wmJXoExEl/EREapWO9TpyMP0gu07vol/jfhUaQ/v3iXgul8tVaWMtX76crVu3smnTpjL1LygooKCgoPh5ZmYmAHa7HbvdXmlxFSkasyrGlrLRHHgGzYNn0Dx4Bs2DZzjfPGh+REQq145jGcxetYeNh04DUMfXi/v6NmdMjxh8rbpRW0T+oISfiEgtEu4XDkBGQUaFx3Ao4SdSI+Tn5+Pr61uhc48ePcrkyZNZs2ZNmceYPXs2M2fOLNW+Zs0a/P39KxRHWcTFxVXZ2FI2mgPPoHnwDJoHz6B58Axnm4fc3NxqjkREpHY6mprL86v38fkvxwHwtpi5o3sT7uvbnLoB3m6OTkQ8kRJ+IiK1SIC1cD+vPEdehcfQCj8Rz+V0Opk1axZvvvkmJ0+eZP/+/TRt2pTHH3+cmJgYxo0bV6ZxtmzZQnJyMp07dy4x9nfffcdrr71GQUEBlv8p6TtjxgymTZtW/DwzM5Po6GgGDRpEUBXs92m324mLi2PgwIFYrdZKH1/OT3PgGTQPnkHz4Bk0D57hfPNQVAVAREQqJjXHxrxvD/Dej0ewOw0Aru/UkGkDWxIdWnU3W4pIzaeEn4hILRLgVZjwy7HnVHgMJfxEPNezzz7LO++8w9y5c7n77ruL2zt06MDLL79c5oRf//792bFjR4m2O++8k9atW/PQQw+VSvYB+Pj44OPjU6rdarVW6ZeuVT2+nJ/mwDNoHjyD5sEzaB48w9nmQXPjIQwDbDlYnAVgywFD8+I2drvmwRPUgHnIszl598cjLNpwmKwCB15A72ZhTB3YinYNgoDC/65rtBowD7We5qDyWf3B5Bn7aCrhJyJSi/hbC+/0yrVXvIyOEn4inuvdd99l4cKF9O/fn/Hjxxe3d+zYkb1795Z5nDp16tC+ffsSbQEBAYSFhZVqFxEREZEayJ6L9fkmXAvwq7uDubhZQfPgAWrCPPgB9wD3mICinRcSgSXuiqjy1YR5qO00B1XgkePgHeDuKAAwuzsAERGpPEUlPXMclbDCr25IJUQkIpUpMTGR5s2bl2p3uVzY7XY3RCQiIiIiIiIiIp5AK/xERGqRylnhlwFohZ+IJ2rXrh0bNmygSZMmJdo//PBDOnXqdEFjr1u37oLOFxEREREPYvXH/sARVq9ew+DBg1Rq1Y3sdrvmwQN42jz8cjSdF9bsZ/ORVACCfa2M79OMmy+PxtdaeouF2sLT5uFipDmoAlbP2VtTCT8RkVqkaA8/lfQUqZ2efPJJRo0aRWJiIi6XixUrVrBv3z7effddvvjiC3eHJyIiIiKewmQC7wCcFp/CMmP6Utd9THbNgyfwkHmIT8nh+dV7WbkjCQBvL3/G9ozl3j7NCPa7CH4+PGQeLmqag1pNCT8RkVqkUkt6KuEn4nGGDRvGv/71L2bNmoXJZOKJJ57gsssu4z//+Q8DBw50d3giIiIiIiJyBinZBbz6zQHe/ykBh8vAZIK/XNaIaQNb0iDEz93hiUgtoYSfiEgtUpzws+XgMlyYTeXfqtWZ8XtJz+DgSo1NRCrH4MGDGTx4sLvDEBERERERkfPItTn454Z4Fqw/RI7NCUDfVvV4aGhrWkcFuTk6EaltlPATEalFwvzCsJgsOAwHKXkpRPhHlOt8wzC0wk+kBti8eTN79uzBZDLRpk0bOnfu7O6QRERERERE5HcOp4t/bT7KK18f4FRWAQAdGwXz8NDW9GgW7uboRKS2UsJPRKQW8TJ7EeEfwYmcExzPPl7uhJ8rJwccDkAJPxFPdOzYMW655RZ++OEHQn7/bzQ9PZ0ePXrwwQcfEB0d7d4ARURERERELmKGYbBm90nmfrWXQ6cKt1tpHOrPA4NbcU2H+pjNJjdHKCK1WflrvYmIiEerH1AfgBM5J8p9btHqPpOPD2Y/1ZAX8TRjx47FbrezZ88eUlNTSU1NZc+ePRiGwbhx49wdnoiIiIiIyEVry5FU/vrmf7ln6RYOncohNMCbJ4e15etpvRl2SQMl+0SkymmFn4hILRMZEAnAqdxT5T7XmZYOaHWfiKfasGEDGzdupFWrVsVtrVq1Yt68efTs2dONkYmIiIiIiFycDiZnM/ervazZfRIAX6uZcVfGck/vZgT5Wt0cnYhcTJTwExGpZYK8Czd9zrRllvtc7d8n4tkaN26M3W4v1e5wOGjYsKEbIhIREREREbk4JWfm88o3B/jXpqM4XQZmE4zsEs2UAS2JCvZ1d3gichFSwk9EpJYpSvhlFGSU+1wl/EQ829y5c5k4cSKvv/46nTt3xmQysXnzZiZPnswLL7zg7vBERERERERqvewCBwu/O8xb3x0mz+4EYECbSB4a0ooWkXXcHJ2IXMyU8BMRqWWCfYIBrfATqS3q1q2LyfTHXg85OTl07doVL6/Cj3EOhwMvLy/Gjh3Ldddd56YoRUREREREaje708UHPyfw6jcHSMm2AXBpdAiPXN2GK2JD3RydiIgSfiIitY5KetYeTqfzjOUbL2Z2ux0vLy/y8/NxOp3lPt/b2xuz2VwFkVWdV155xd0hiIiIiIiIXLQMw2DljiSeX72X307nAhAbHsCDg1sxpH1UiRs0RUTcSQk/EZFaJshHCb+azjAMkpKSSP99PuQPhmEQFRXF0aNHK/RHldlsJjY2Fm9v7yqIrmqMHj3a3SGIiIiIuMUNN9xQ7nPefPNNIiIiqiAaEbkY/XT4NLNX7WX70XQAwgO9mdy/BTdf0RirpWbdTCoitZ8SfiIitUzxCr+CCiT80tIA8AqtW6kxSfkUJfsiIiLw9/fX3YJ/4nK5yM7OJjAwsNwr9VwuF8ePH+fEiRM0bty4Rv+7Jicnk5ycjMvlKtHesWNHN0UkIiIiUvk+/fRTRo4ciZ+fX5n6v//++2RnZyvhJyIXbP/JLJ5btZdv9iYD4O9t4e5eTbn7qqYE+ugrdRHxTHp3EhGpZS5sD7/ChJ9W+LmP0+ksTvaFhYW5OxyP43K5sNls+Pr6Vqg0Z7169Th+/DgOhwOr1VoFEVatLVu2MHr0aPbs2YNhGCWOmUymCpU5FREREfFkr776apkTeB999FEVRyMitV1SRj4vx+3nwy1HcRlgMZu4+fJoJg9oQUQdX3eHJyJyTkr4iYjUMn9e4WcYRrlWMTmKSnrW1Qo/dynas8/f39/NkdRORaU8nU5njUz43XnnnbRs2ZJFixYRGRlZo1cpioiIiJzP2rVrCQ0NLXP/VatW0bBhwyqMSERqq8x8O2+uO8TbP8STby+spDKkXRQPDGlFs3qBbo5ORKRs3F5oeP78+cTGxuLr60vnzp3ZsGHDOfsXFBTw6KOP0qRJE3x8fGjWrBlvv/12NUUrIuL5ihJ+DsNBniOvXOc609IBJfw8gRI5VaOm/7vGx8czd+5cunbtSkxMDE2aNCnxPxEREZHapHfv3nh5lf1e9SuvvBIfH58qjEhEapsCh5O3v4+n99y1zF93iHy7iy5N6vLxvd15c1RnJftEpEZx6wq/f/3rX0yZMoX58+fTs2dPFixYwNChQ9m9ezeNGzc+4zkjR47k5MmTLFq0iObNm5OcnIzD4ajmyEVEPJeflx9eZi8cLgeZtkz8rWVfKVa0h58SfiKeqX///vzyyy80b97c3aGIiIiIVKt+/frRu3dvnnzyyRLtaWlp/OUvf+Hbb791U2QiUhO5XAZf7DjB86v3cjS18GbpZvUCeGhIawa2VTUVEamZ3Jrwe+mllxg3bhx33XUXAK+88gqrV6/mjTfeYPbs2aX6f/XVV6xfv57Dhw8Xl3SIiYmpzpBFRDyeyWQi2DuY0/mnySjIICogqkznufLyMPLzAbCEKOEn5bdu3TrGjBnDb7/95u5Qaq1//vOfjB49mp07d9K+fftSZUmHDx/upshEREREqta6devYsWMH27ZtY9myZQQEBABgs9lYv369m6MTkZpk48EUZq/ay47EDADq1fFh6oCWjOzSCC+L2wviiYhUmNvewWw2G1u2bGHQoEEl2gcNGsTGjRvPeM7nn39Oly5dmDt3Lg0bNqRly5ZMnz6dvLzylawTEantgnx+38fPllnmc5y/79+H1Yo5QPvHyYVLS0tj1KhRBAcHExwczKhRo0gv+jk7i6eeeorWrVsTEBBA3bp1GTBgAD/99FP1BFwDbNy4ke+//56ZM2dy4403ct111xX/7/rrr3d3eCIiIiJV6uuvvyYpKYlu3brpJjMRKbfEHBj37hZu/edP7EjMINDHi/sHtmT9A324tWtjJftEpMZz2wq/lJQUnE4nkZGRJdojIyNJSko64zmHDx/m+++/x9fXl08++YSUlBQmTJhAamrqWffxKygooKCgoPh5Zmbhl992ux273V5Jr+YPRWNWxdgiImUV7B0MwOmc02d8PzrTe1XBqVMAWEJCVCrZjex2O4Zh4HK5cLlc7g6nXIriLfr/W265hcTERFauXAnA+PHjuf322/n888/POkbz5s159dVXadq0KXl5ebzyyisMGjSI/fv3U69ePQzD4OjRo7Rt27ZC/z4ulwvDMLDb7VgslhLHasLv7kmTJjFq1Cgef/zxUp+hRERERGq7+vXrs379esaOHcvll1/Ohx9+SJs2bdwdloh4uMT0PF5YvZdPf7VgcBovs4nbujZmYv8WhAdq308RqT3cWtITKFUP2TCMs9ZIdrlcmEwmli1bRnBw4ZfZL730En/96195/fXX8fPzK3XO7NmzmTlzZqn2NWvW4O9fdStY4uLiqmxsEZHzseXYAPhuy3cU7Cw4a78/v1f57z9AIyDXYilO0Ej18/LyIioqiuzsbGw2m7vDKZfc3FxcLheZmZns27eP1atXExcXR7t27YDC39mDBg1iy5YttGjR4oxjXHvttSWeP/nkk7z99tv8+OOP9O7dG4AJEyaQkpLCLbfcwsiRI4mKKlvZWiisMJCXl8d3331XKrGdm5tbnpfrFqdPn2bq1KlK9omIiMhFp+i7Ih8fH5YtW8YzzzzDkCFDeOihh9wcmYh4qoxcO/PXHWTxxt+wOVyAiavbR/LgkDbEhAe4OzwRkUrntoRfeHg4Foul1Gq+5OTks36JVb9+fRo2bFic7ANo06YNhmFw7NixM355OGPGDKZNm1b8PDMzk+joaAYNGkRQUFAlvZo/2O124uLiGDhwYKl9dUREqssvm35h94HdRDWL4uqOV5c6fqb3qixWchIIaRxNu6tLnyPVIz8/n6NHjxIYGIivry9QeDNMnt1Z7bH4WS3l2qjc398fs9lMUFAQO3bsIDg4mH79+hUf79+/P8HBwfz666907tz5vOPZbDbeeustgoOD6d69O0FBQRiGweLFi/niiy947733ePrppxk4cCB33HEHI0aMKP43O5v8/Hz8/Py46qqrSvUtqgLgyW644QbWrl1Ls2bN3B2KiIiISLUyDKPE88cee4w2bdowevRoN0UkIp4q3+5k6X+P8Nrag2TkFVZyuSKmLlcGnuLemy7Rd7YiUmtVKOG3ZMkSRo4ceUEr5Ly9vencuTNxcXEl9pyJi4tjxIgRZzynZ8+efPjhh2RnZxMYGAjA/v37MZvNNGrU6Izn+Pj44ONTemm21Wqt0jf3qh5fRORc6vnXAyDNlnbO96IS71WZWQB4hYbp/cuNnE4nJpMJs9mM2Vy4f0CuzUH7p6p/5fjupwfj7205f8ffFcVrNptJTk4mIiKiuK1IREQEycnJpdr/7IsvvuDmm28mNzeX+vXrExcXR0REBFC42j88PJxJkyYxZcoU9uzZwzvvvMODDz7IhAkTuOmmmxgzZgzdunU7a4wmk+mMv6drws99y5YtmTFjBt9//z0dOnQoFfOkSZPcFJmIiIhI1YqPjyc8PLxE21/+8hdatWrFli1b3BSViHgSl8vg0+2JvLhmP4npeQC0jAzk4aGtubJpXVatWuXmCEVEqlaFEn4zZsxg0qRJ3HjjjYwbN44ePXpU6OLTpk1j1KhRdOnShe7du7Nw4UISEhIYP3588XUSExN59913Abj11lv5+9//zp133snMmTNJSUnhgQceYOzYsWcs5ykicrEK8wsDICUvpcznONPTAbCEBJ+7o0gZnWl14LlKdxfp27cv27dvJyUlhbfeeouRI0fy008/FSf9/qxNmzbMmTOHWbNm8cILL/DYY4+xfPly0n//ea5t/vnPfxIYGMj69etZv359iWMmk0kJPxEREam1mjRpcsb29u3b0759+2qORkQ8zXf7TzF71V72nCis3BIV5Mu0QS35y2WNsJhNNWLPdhGRC1WhhN+xY8f48ssvWbJkCX379iU2NpY777yT0aNHl2sfnZtuuonTp0/z9NNPc+LECdq3b8/KlSuLP8SdOHGChISE4v6BgYHExcUxceJEunTpQlhYGCNHjuSZZ56pyMsQEam16vrWBSCjIKPM5zjT0gCw1K1bJTFJxflZLex+erBbrltRUVFRnDx5slT7qVOnzrv/XEBAAM2bN6d58+Z069aNFi1asGjRImbMmFGq79GjR1m2bBlLly4lPj6eG2+8kTvvvLPCcXu6+Ph4d4cgIiIiUq1uuOGGMvVbsWJFFUciIp5oZ2IGc1bt5fuDhTc81/Hx4t6+zbizRyx+5ahYIyJSG1Qo4WexWBg+fDjDhw8nOTmZ9957jyVLlvD4448zZMgQxo0bx7Bhw85ZrqvIhAkTmDBhwhmPLVmypFRb69atiYur/rJmIiI1SaC1sOxxli2rzOc40wsTfl5K+Hkck8mEv7fbtt2tkO7du5ORkcHPP//MFVdcAcBPP/1ERkZGuSsDGIZBQUFB8fOsrCxWrFjBsmXLWLduHT169GDq1KmMHDmySvbnFRERERH3CQ4uWYHk/fffZ9iwYdSpU8dNEYmIJziamssLa/bx2fbjAFgtJu7oHsPf+janboC3m6MTEXGPC/72MCIigp49e7Jv3z7279/Pjh07GDNmDCEhISxevJg+ffpUQpgiIlIedbwL//jNtmeX+RyHVvhJJWrTpg1Dhgzh7rvvZsGCBQD83//9H9deey2tWrU64zk5OTk8++yzDB8+nPr163P69Gnmz5/PsWPHuPHGG4v73X777SQkJDBq1CgWLlxIs2bNquU1eYKxY8ee8/jbb79dTZGIiIiIVI/FixeXeP7RRx8xd+5cmjZtWmnXmD17No888giTJ0/mlVdeAQpvOps5cyYLFy4kLS2Nrl278vrrr9OuXbvi8woKCpg+fToffPABeXl59O/fn/nz59OoUaNKi01ESkrLsfHa2oMs/e8RbE4XACMubcD0Qa2IDvV3c3QiIu51/iV4Z3Hy5EleeOEF2rVrR58+fcjMzOSLL74gPj6e48ePc8MNNzB69OjKjFVERMqoaIVftq3sCT9nWjoAlpCQKohILkbLli2jQ4cODBo0iEGDBtGxY0eWLl1aok9MTAxPPfUUUFhBYO/evfzlL3+hZcuWXHvttZw6dYoNGzaU+GLlhRde4ODBgzz99NMXVbIPIC0trcT/kpOT+fbbb1mxYkWt3bdQREREpCpt2rSJhQsX0rFjxxLtc+fO5aWXXuK1115j06ZNREVFMXDgQLKy/qiiMmXKFD755BOWL1/O999/T3Z2Ntdeey1Op7O6X4ZIrZdvd/LGukNc9fxaFn0fj83pomfzML6YeCX/uLmTkn0iIlRwhd+wYcNYvXo1LVu25O677+aOO+4gNDS0+Lifnx/3338/L7/8cqUFKiIiZRfoXZjwy7Hn4DJcmE3nv7/Dcbqw3r1XWFiVxiYXj9DQUN57772zHs/Ly+PkyZP07t0bAF9f3zLtvdKiRQtMJlOlxVmTfPLJJ6XaXC4XEyZMqNS73EVEREQuBtnZ2dx222289dZbPPPMM8XthmHwyiuv8OijjxbvIfjOO+8QGRnJ+++/zz333ENGRgaLFi1i6dKlDBgwAID33nuP6Ohovv76awYPrv49uEVqI6fL4OOtx3g5bj8nMvIBaFM/iIeHtuaqFuEX7d+GIiJnUqEVfhEREaxfv56dO3cyZcqUEsm+IvXr1yc+Pv6CAxQRkfIrKulpYJBjzzlvf8PpxHk6FQBLeHiVxiZSZP369fTr14++ffu6O5QazWw2M3XqVN1oJSIiIlJO9913H9dcc01xwq5IfHw8SUlJDBo0qLjNx8eH3r17s3HjRgC2bNmC3W4v0adBgwa0b9++uI+IVJxhGKzdm8zV/9jAgx/9yomMfBqG+PHSyEv4cuKV9G5ZT8k+EZH/UaEVfr179+ayyy4r1W6z2Vi+fDl33HEHJpOJJk2aXHCAIiJSfj4WH7zN3thcNrJt2cUJwLNxpqeDywUmE15nuIlDpCoMGTKEIUOGuDuMWuHQoUM4HA53hyEiIiJS6T7//PMSz10uF9988w07d+4s0T58+PByjbt8+XK2bt3Kpk2bSh1LSkoCIDIyskR7ZGQkR44cKe7j7e1N3f/ZAz0yMrL4/P9VUFBAQUFB8fPMzEwA7HY7dru9XPGXRdGYVTG2lJ3mofx+PZbB3DX7+Sk+DYAgXy/u7d2UUV2j8bFacDodlLdyrubBM2ge3E9z4BnONw8VnZ8KJfzuvPNOhgwZQkRERIn2rKws7rzzTu64444KBSMiIpUn2CeYU3mnSM1PpX5g/XP2daScBgr37zN5VehXgwgxMTFMmTLF3WHUatOmTSvx3DAMTpw4wZdffqm9k0VERKRWuu6660q13XPPPSWem0ymcu2bd/ToUSZPnsyaNWvw9fU9a7//XT1kGMZ5VxSdq8/s2bOZOXNmqfY1a9bg7191+4/FxcVV2dhSdpqH80vJhy8SzGw7XViUzstkcFWUwYCG+QRk7uabuN0XfA3Ng2fQPLif5sAznG0ecnNzKzRehb7VPduHl2PHjhEcHFyhQEREpHLFBMdwKu8UB9MP0i683Tn7Oov27wvX/n1ScUr4Vb1t27aVeG42m6lXrx4vvvgiY8eOdVNUIiIiIlXH5XJV+phbtmwhOTmZzp07F7c5nU6+++47XnvtNfbt2wcUruKrX/+PmyeTk5OLV/1FRUVhs9lIS0srscovOTmZHj16nPG6M2bMKHEDV2ZmJtHR0QwaNIigoKBKfY1QuDogLi6OgQMHYrVaK318KRvNw/mdzrHx+rrDLP/1KHangckE111Snyn9m9MgxK9SrqF58AyaB/fTHHiG881DURWA8ipXwq9Tp06YTCZMJhP9+/fH60+rQJxOJ/Hx8SrNJSLiIVqEtGBT0iYOpB04b19HSmHCT/v3iXi2tWvXujsEERERkRqvf//+7Nixo0TbnXfeSevWrXnooYdo2rQpUVFRxMXF0alTJ6BwG5v169fz3HPPAdC5c2esVitxcXGMHDkSgBMnTrBz507mzp17xuv6+Pjg4+NTqt1qtVbpl65VPb6UjeahtFybg0Ub4lnw3WGyCwq3KLiqZT0eHtKatg0qPwkOmgdPoXlwP82BZzjbPFR0bsqV8Csqo7B9+3YGDx5MYGBg8TFvb29iYmL4y1/+UqFARESkcjUIbADAqbxT5+1bVNLTK0wJPxERERER8Qyff/45Q4cOLfOXXitXrqRv3774+Z17RVCdOnVo3759ibaAgADCwsKK26dMmcKsWbNo0aIFLVq0YNasWfj7+3PrrbcCEBwczLhx47j//vsJCwsjNDSU6dOn06FDBwYMGFCBVyty8XA4XXy45Rgvx+0nOatwX8v2DYOYMbQNPZvrewkRkYoqV8LvySefBApLdt10003nrHMuIiLuVce7DgDZ9uzz9nUUlfQMU0lPEU928uRJpk+fzjfffENycjKGYZQ4Xp69a0REREQ83fXXX09SUhL16tUrU/+bb76Z7du307Rp0wu+9oMPPkheXh4TJkwgLS2Nrl27smbNGurUqVPc5+WXX8bLy4uRI0eSl5dH//79WbJkCRaL5YKvL1IbGYZB3O6TzF29j4PJhd9VNKrrxwODWzGsYwPM5nPvkSkiIudWoT38Ro8eXdlxiIhIJQuwBgCQbTt/ws9ZtMKvnu6kE/FkY8aMISEhgccff5z69eufcU9lERERkdrCMAzGjBlzxjKYZ5Kfn1/ha61bt67Ec5PJxFNPPcVTTz111nN8fX2ZN28e8+bNq/B1RS4WWxPSmL1yD5t+SwOgrr+Vv/Vrwe3dGuPjpSS5iEhlKHPCLzQ0lP379xMeHk7dunXP+QVTampqpQQnIiIVV8daeOdpjj3nvH2L9/BTSU8Rj/b999+zYcMGLr30UneHIiIiIlLlynvD+W233UZQUNXs+yUiFXP4VDZzv9rHV7uSAPDxMjPuyljG92lGkK/2DxMRqUxlTvi9/PLLxWULXn75Zd1RLiLi4QK8f1/hV6aSnr+v8AtXSU8RTxYdHV2qjKeIiIhIbbV48WJ3hyAiFXQqq4B/fLOfD34+itNlYDbBXzs3YurAltQPPvc+myIiUjFlTvj9+a6qMWPGVEUsIiJSiQKtgYD28JPqs27dOsaMGcNvv/3m7lBqrVdeeYWHH36YBQsWEBMT4+5wRERERERESsgpcLDwu8O8teEwubbCPcb7t47gwSGtaRVV5zxni4jIhShzwi8zM7PMg6p8goiI+xUl/HJsORiGcdaV2YbTifN0YSlmS7hKekrlefbZZ/nyyy/Zvn073t7epKenn7O/3W7nscceY+XKlRw+fJjg4GAGDBjAnDlzaNCgQfUE7eFuuukmcnNzadasGf7+/litJUvgqKy6iIiIiIi4g93pYvmmo/zj6wOkZBcAcEmjYGZc3YZuTXVzsYhIdShzwi8kJOS8ZTyLvlB2Op0XHJiIiFyYOt6Fd845DAen808T7nfmZJ4zLQ1cLjCZ8AoNrc4QpZaz2WzceOONdO/enUWLFp23f25uLlu3buXxxx/nkksuIS0tjSlTpjB8+HA2b95c3O/o0aO0a9euKkP3WK+88oq7QxARERERESlmGAardyUx96t9HE7JASAmzJ8HBrfm6g5R2hZKRKQalTnht3bt2qqMQ0REKpm/1Z92Ye3YdXoXq39bzW1tbjtjP3tiIgBekZGYvMr8a0Gqk2GAPbf6r2v1hwv442zmzJkALFmypEz9g4ODiYuLK9E2b948rrjiChISEmjcuDEAEyZMIC0tjdGjR3P77bdTv379CsdY0/y5xLqIiIiIiIg7bfotldkr97A1IR2AsABvJvVvwS1XNMbby+ze4ERELkJl/ma3d+/eVRmHiIhUgc6Rndl1ehcnc06etY/t2DEArA0bVldYUl72XJjlhpKWjxwH74Dqv+6fZGRkYDKZCAkJKW5bvHgxX375JUuXLmXGjBkMGjSI0aNHM2LECHx9fd0XrIiIiIiIyEXgYHIWc1bt4+s9hd81+Fkt3N0rlruvakodX+t5zhYRkapS5oTfr7/+Svv27TGbzfz666/n7NuxY8cLDkxERC5cUVnPTNvZ92G1Jx4HwLuREn7iWfLz83n44Ye59dZbS+wPHB4ezsSJE5k8eTJ79uzhnXfeYfr06YwfP56bbrqJMWPG0K1bNzdGLiIiIiJV4ZtvvuGbb74hOTkZl8tV4tjbb7/tpqhELh4nM/N55ev9/GvTUVwGWMwmRnaJZuqAFkQE6eZLERF3K3PC79JLLyUpKYmIiAguvfRSTCYThmGU6qc9/EREPEeQd2GS5JwJv+IVfo2qJSapAKt/4Wo7d1zXTex2OzfffDMul4v58+eftV+bNm2YM2cOs2bN4oUXXuCxxx5j+fLlpKenV1+wIiIiIlLlZs6cydNPP02XLl2oX7++9gUTqUZZ+XYWrD/MP78/TL69MNk+qG0kDw5pTfOIQDdHJyIiRcqc8IuPj6devXrFj0VExPMF+RQm/LJsWWftY1dJT89nMrm9tGZ1stvtjBw5kvj4eL799tsSq/v+19GjR1m2bBlLly4lPj6eG2+8kTvvvLMaoxURERGR6vDmm2+yZMkSRo0a5e5QRC4aNoeL9386wqvfHiQ1xwbAZY1DeOTqNnSJCXVzdCIi8r/KnPBr0qTJGR+LiIjnKtMKv8REAKyNtMJP3K8o2XfgwAHWrl1LWFhYqT5ZWVmsWLGCZcuWsW7dOnr06MHUqVMZOXLkOZODIiIiIlJz2Ww2evTo4e4wRC4KhmHwxa8neGHNPo6czgWgaXgADw5pzeB2kVphKyLiocqc8Ptf+/btY968eezZsweTyUTr1q2ZOHEirVq1qsz4RETkAhQl/DIKMs543LDZsP2e8PNuHF1tccnFISEhgdTUVBISEnA6nWzfvh2A5s2bExhYuuyLw+Hgr3/9K1u3buWLL77A6XSSlJQEQGhoKN7e3gDcfvvtJCQkMGrUKBYuXEizZs2q7TW5W05ODnPmzDnr3jWHDx92U2QiIiIiVeuuu+7i/fff5/HHH3d3KCK12sZDKcxZtZdfjxV+jxAe6MOUAS246fJorBazm6MTEZFzqVDC76OPPuKWW26hS5cudO/eHYAff/yR9u3b8/7773PjjTdWapAiIlIx4X7hACRmJ7IvdR+tQkvelGE7dAgcDszBwXhFRbkjRKnFnnjiCd55553i5506dQJg7dq19OnTB4CYmBjGjBnDU089xbFjx/j888+Bwr2D/+zP57zwwgtcdtllWCyWKn8Nnuauu+5i/fr1jBo1SnvXiIiISK03bdq04scul4uFCxfy9ddf07FjR6xWa4m+L730UnWHJ1Kr7E3K5LlVe1m77xQAAd4W/u+qZtzVK5YAnwqvGRERkWpUoXfrBx98kBkzZvD000+XaH/yySd56KGHlPATEfEQjeo04pJ6l/DLqV/YlrytVMKvYO8+AHxbt1biQCrdkiVLWLJkyVmP5+XlcfLkSXr37g0UJv8MwzjvuC1atLhof15XrVrFl19+Sc+ePd0dioiIiEiV27ZtW4nnRTeF7dy5s0T7xfrZUKQyHE/P46W4/Xy89RiGAV5mE7d2bczEfi2oV8fH3eGJiEg5VCjhl5SUxB133FGq/fbbb+f555+/4KBERKTytA5tzS+nfiElL6XUsYK9ewHwbdOmusMSYf369fTr14++ffu6O5Qao27duoSGhro7DBEREZFqsXbtWneHIFJrZeTZeWPdIRb/EE+Bo3CrgKs7RPHA4NbEhge4OToREamIChVe7tOnDxs2bCjV/v3339OrV68LDkpERCpPmF8YwJkTfrt3A+DbpnW1xiQCMGTIEL788kt3h1Gj/P3vf+eJJ54gNzf3gsZ544036NixI0FBQQQFBdG9e3dWrVpVSVGKiIiIVJ4GDRowYcIEvvrqK2w2m7vDEanxChxO/rnhML2fX8ub6w9R4HBxRUwoKyb0YP5tnZXsExGpwcq8wq9oTx2A4cOH89BDD7Flyxa6desGFO7h9+GHHzJz5szKj1JERCqsnl89oHTCz5yXR/6OHQD4de5c7XFJ7RMTE8OUKVPcHUat9uKLL3Lo0CEiIyOJiYkptXfN1q1byzROo0aNmDNnDs2bNwfgnXfeYcSIEWzbto127dpVetwiIiIiFfX+++/zn//8h4kTJ3Ly5EkGDx7M8OHDueaaa1T5QKQcXC6Dz385zgtr9nEsLQ+AFhGBPDSkNf3bRKg0rohILVDmhN91111Xqm3+/PnMnz+/RNt9993H+PHjLzgwERGpHBH+EQAkJOwg/vbbMTIyCBg0mKBjR8HpxKdFC7wbNXJzlFIbKOFX9c70eawihg0bVuL5s88+yxtvvMGPP/6ohJ+IiIh4lD59+tCnTx9efPFFdu3axeeff87rr7/OXXfdRffu3RkxYgTDhw+nWbNm7g5VxGN9fyCF2av2sOt4JgCRQT5MG9iSv1zWCC9LhQrAiYiIBypzws/lclVlHCIiUkUuj7qccN8w7nzrJPnHkgEoOHCQiN+Ph9x0k/uCE5FyefLJJyt9TKfTyYcffkhOTg7du3c/a7+CggIKCgqKn2dmFn5ZYLfbsdvtlR5X0ZhVMbaUjebAM2gePMPFMA9Ol4HZRPEKD4fThcsAby9z8fFcm4M6voWry20OF9kFDkIDvAHIsznJtTkIC/QBILvAgd3poq6/Ny6XwdG0PKKCffHxMpNd4CAt10Z0XX8MwyA+JZfIIB8CfLxIyS4gK99BbHgABQ4Xe5OyaFu/DlaLmV+PppJjL5yHg8nZBPh4UT/Yl6TMfLLzHTSPCOR0jo0T6fm0bxjEycx8TmXZaNegDkmZBaTn2mkdFciR1FxsDhctI+twJDWXAruTFhGB/HIsg8ggX+r6W/nlWAbtGgRhc7g4eCqbTtEhHDqVg8swaBkRyKYjacSGB+DjZeZAcjaXRYewJykLq8VMwxA/tiSkcXmTuhxPz8fmdBET5s/Pv6XRpUkICamFK2sahvix7Wg6XWPrciA5hyBfL3ytFhJSc2nXIIif4lPpFB3CgeRsQvysBPh4cTglh07RwfwUn8blMXXZm5RFgxBf8mxOChyF/96HTmXToWEwW46kc0l0MAeTs2kREcjepCwahviRXeCgwOGiTf06BPqU+WuhYuf776Eq/ztp164d7dq1Y8aMGZw8eZLPP/+czz//nEcffZSmTZvy3HPPcc0111TZ9UVqml3HM5izai8bDhRW/An08eLePs0Y2zMWP2+Lm6MTEZHKVv5PdiIiUqP4efnxl7x2tD52EoCs6FDqHE0FwKtje+qOvNGd4YlIBWzZsoU9e/ZgMplo27YtnTp1KvcYO3bsoHv37uTn5xMYGMgnn3xC27Ztz9p/9uzZZyzdvmbNGvz9/ct9/bKKi4ursrGlbDQHnkHz4BnKOw8uA5Jywd8LQnz+aDcM2JtuIt0GncIMfH//y7zACd8lmci1m+gR6aKeX2H7gQwTG5JMhPrAkGgXvhY4kQufHzHjNGBYYxfRgXAkC1b8ZsFhwLWNXbQJMdiaYuI/CWYCvODGWCdR/rD8kJlfU01cEmZwU1MXm06Z+OyIGX8vuKWZC2+zwdv7LeQ6YEADg8vCXby1z8LpfLgyyqBLuIu391vIsJnoHO7iklCD9w+ZyXeauDLSRT0/g8+PFCYKhzV2sSPVzKEsE3W9DXpFuYhLNJPnNNGhros8JxzMNBPgZXBZuMHPp0wUOE20DXGRVmDiRJ6JCF+DMF+DPelmfC0WFuz9liPZJswYtAox2JtuwsBE8yCDxBzIc5qI8jM4lQ9Ow0Swt0GmDQxMBFoNsu2FSc0IX4OUAnAZZy5j52UyMCgcw4SBQWG/osem31tclDzfjFGqrcifx3G3sS2dXBJmVPj8s/33cKF7DZdVZGQkd999N3fffTe5ubmsXr0aHx+f858ochE4lpbLi2v28+n2RAwDrBYTt3VtwsR+zYtvzBARkdqnwgm/nJwc1q9fT0JCQqlNkydNmnTBgYmISOXpfLDwD/n17U28PiyTiDQLdXNgf4M9bPOyoPv6RGqG5ORkbr75ZtatW0dISAiGYZCRkUHfvn1Zvnw59erVK/NYrVq1Yvv27aSnp/Pxxx8zevRo1q9ff9ak34wZM5g2bVrx88zMTKKjoxk0aBBBQUEX/Nr+l91uJy4ujoEDB5baq1Cqh+bAM2gePMN3+07y1Q9buWNId1o3CClx7MMtx1i44TeCfL2Y0Kcp/VsX1lHIyLMzftk2Nh9Jx2SC+3o3ZVK/ZjhdBg+u2Ml/9iYB8O0pH+bfeilNwwMYs2QzvyYWrqD+8bSVV2/qSE6Bkzd/2oHDVfh57rgriAm9m7Lgiz2k5RaupErY68X/9Yrln1t+I8fmBOCtfV5c1SKMtb+v6kgtgHl7rIT4WTmVXfg3/JYUE3uzrOQUFJ5js8Ebe0p+MlydaGJ14h/l3jYkmdiQ9MfzLSlmtvxpq+jvT5YsDffpkT/GS7OZ+Dzhj+c70v7om+MoTGoW2Z3+x7HkfBPJ+YXH8p0mjmQXtrswsSf9j3MOZv7xOCnvj8cZtj8eFyX7isY9F8efEoF/TtIVPTYwcaZ02dmSff87jjsF+Xpx4+AeNI8ILPe553tfKqoCUNn69OnD2LFjufHGG/Hz8ytxzN/fn+uvv75KritSk6Tn2nh97UHe2XgEm7OwWtuwSxrwwKBWNA6rupv0RETEM1Qo4bdt2zauvvpqcnNzycnJITQ0lJSUFPz9/YmIiFDCT0TEw4TvTcIB/Bpb+AVDcl0TyXULj+06vYuO9Tq6LzgRKbOJEyeSmZnJrl27aNOmDQC7d+9m9OjRTJo0iQ8++KDMY3l7e9O8eXMAunTpwqZNm/jHP/7BggULztjfx8fnjHfNW63WKk1CVPX4cn6aA8+geag6Gw6c4uMtxwjys3Jb1ya0iqpTfMzhdDH9w1/4dPtxwMInCzYx5y8d+Wvnwv2P3/ruMM+u3FPc/973t/P08HbccFkj/u+9bWxNKEz2GQa8tu4wJzJtpOYUsHbfKSxmEwHeFpKzChj19mZCA7xJTM+jrr+VBiF+7DqeyV1LtxWP3a1pKIdO5bDvZDaT//0rAG3rBxHo48XPv6Xyj28PAXBFTCj16vjw5Y4TrN1XmIkb2aURJzMLWL//FKeybdT1t3JXr6YsWH+IzHwHAHddGUtqro0VWxMB6N2yHoPbRTHzP7socLi4rHEIN10ezdP/2U2OzUmPZmHc1rUJD6/4lax8B9dd2oChHeoz/d+/UOBwMW1QS9Jz7fxzw2Gign2Z+9eOvPXdYX44dJrrLm3ANR0b8OBHv+BntTDrhg6s2JrI+v2nuLFzI1pF1eEf3xygaXgA9/ZpzqvfHCAjz87kfs14L24TKea6jOvVlOTMfL7ec5KBbaOIqOPDBz8n0KNZGO0aBLN8UwLtGwTTJSaU9346QqfoENrUD+Lfm4/Sq0U9gv2srNpxgn5tIggP9OGz7ccZ2aURJzLy+enwaW7r1oTPtifiZ7XQv00kH/ycQNfYMHytZn45lsGQdlH8FH8aw4BeLcJZs/skl0aHkJXv4MjpHPq3iWTN7iRaRtQhwMeLX4+lM7BtJD8cTKFJWAAWs4kjp3Pp3iyM7w+m0LlxXY6cziEr38FlTeqyfv8pBraJZNNvqcSE+5NvLyyh2jKyDluOpNGtaSi/HM2gdf06xJ/KIcTfitVi5khqLpc1DmHX8UwujQ7hv4dO06NZGLuOZ9IiMpC9J7JoFOpH66gLv1nnbO9LVfVe1blzZx588EEmTpzIyJEjGTduHN26dauSa4nUNPl2J0s2/sb8tQeL39e7Nw1jxtWt6dgoxL3BiYhItalQwm/q1KkMGzaMN954g5CQEH788UesViu33347kydPruwYRUTkAjizs3Hs2Q/A7sal7yj+5OAnSviJ1BBfffUVX3/9dXGyD6Bt27a8/vrrDBo06ILGNgyjxB59IiI1nWEY7EjM4HSOjW6xYWfcq2jB+kPMXrW3+Pm/Nh3lxZGXcG3HBhiGweOf7eLT7cfxMpsItro4XQDTP/yFAyezwAQL1h8GYEyPGLLyHXy89RiPf7aLxz/bBRSuovrXPd3ZfCSNxz/dycdbjwGFpdVev/UyejYPZ+ySTfwUn0pieh7BflaWjutKy8g6zFixo7j/mB4xPH5tW05m5nPf+1vZfjSdAW0ieXHkJfh6WZi1cg/fHThF96ZhPHpNG/ysFjp9H8IPB1MY2r4+N3ZphNNl8M5/j5CUkccd3WOIDvVn+CUN+HLHCTo2DKZH83AMw+CGTo3Itzvp1zoCs9lE16ahJKbl0aNZGF4WMwPaRHI8PZ92DYIwm030aVWPtFwbjeoWrhzpPiPs99demPS5f1BLLCYTZrOJHs0Kr1G0T+CPM/oXP+7RLLzE3Iy4tGHx43fGXgEUrizL3O/i6qu7FieV7urVtLjfsEsaFD/u2zqi+HH3ZmHFj3s2/+M6A9tGFj/u1rSwTyfg6g71AXhgcOvi40+PaF/8uH+bwvPaNvgjadYi8o9EcZHmEc1LxdC03h8r6nr+fjg2PKDUeEUr7860Iqeof9G/ebM/jXlJdEiJY9d1Kvx3jAjyLdFeE7344ovMnTuXL774gsWLF3PVVVfRvHlzxo4dy6hRo4iMjDz/ICK1jNNl8Mm2RF5as4/jGfkAtI6qw0NDW9OnZb3i91gREbk4VCjht337dhYsWIDFYsFisVBQUEDTpk2ZO3cuo0eP5oYbbqjsOEVEpILyfvkFnE7MDRtwOii5uL2xpTEJzgQ+O/gZ915yLxH+EecYReT81q1bx5gxY/jtt9/cHUqt5XK5znonvcvlKvM4jzzyCEOHDiU6OpqsrCyWL1/OunXr+OqrryozXBERt7E7XTz00a+s2Fa4Wq1RXT+evb4DvVv+Ufr4i1+PFyf7ru/UkFNZBXx/MIW/vb+NX46mk2Nz8sHPCZhN8I+bOmKL38Iea3MWbviNBd8dLh5nyoAWTBnQEsMwiA714x/fHMAwIDLIhzdv70yb+kG0qR9ERB0fFm2Ix+5y8fCQ1nT9PcG0dFxXPtpyjMx8OyO7RBMa4A3ACzd2ZOyVMfh4mWkeUZhMahDixycTemJzuPD2+qPk5VPD25X6N7irV9MSyTAvi4lxV8aW6BMd6s/43s2Kn5tMJq5sUTLx1qxeYImEUligT4n9nwJ8vAjw+eOrhaJEXxGrpWSJzz9/+awvoqW8LBYLI0aMYMSIEZw6dYoFCxbw+OOP88gjj3D11VczadIk+vXr5+4wRaqcYRis23+K51btZW9SFgD1g325f1Arru/UEItZ768iIhejCiX8rFZr8QfzyMhIEhISaNOmDcHBwSQkJFRqgCIicmFshwrLOwW0bcfSoS/y4f4PGRE7ghObT7DUtJR9afvYmryVITFD3Byp1Ca//fYbf//73/n2229JSkqiQYMG3H777Tz66KN4e3uf9bwVK1awYMECtmzZwunTp9m2bRuXXnpp9QXu4fr168fkyZP54IMPaNCgcBVDYmIiU6dOpX///mUe5+TJk4waNYoTJ04QHBxMx44d+eqrrxg4cGBVhS4iUm3y7U7ufW8La/edAsDXauZYWh6j3/6Zif2aM3VASzYfSWPav38B4M6eMTw5rB1Ol8GzX+7h7R/ieWtDfPF4M0e0Z1DbSFb+Bg8MakmbBsHM++YgLsNgTI8YxvQsTKKZTCamDGjJjV2iOXAyiytiQ/H3/uNP7sHtohjcLqpUvN5eZm7t2rhUu8lkol2D4DO+xj8n+0QuRj///DOLFy/mgw8+ICIigjFjxnDixAmGDRvGvffeywsvvODuEEWqzI5jGcxetYeNh04DUMfXi/v6NmdMjxh8raVXs4uIyMWjQgm/Tp06sXnzZlq2bEnfvn154oknSElJYenSpXTo0KGyYxQRkQtQEF/4hZV3bCyXRlzKpRGXYrfbOcEJmgU3Y1/aPhKzEt0cpdQ2e/fuxeVysWDBApo3b87OnTu5++67ycnJOecXMDk5OfTs2ZMbb7yRu++++4x9jh49Srt2pVcyXAxee+01RowYQUxMDNHR0ZhMJhISEujQoQPvvfdemcdZtGhRFUYpIlJ1cm0ONv+WRh1fLzo2CjnjCoY5q/aydt8pfK1m5t92GV1jw3h+9T6WbPyNed8e5NPtiSSm5eEyCks6PnZNWwAsZhNPDGtL66g6vPvjbwD8rW8LhrSPwm63F49/fadGXN+p0VljbBjiR8MQv8p94SJCcnIyS5cuZfHixRw4cIBhw4axfPlyBg8eXHxT+siRI7nuuuuU8JNaKeF0Ls+v2cd/fjkOgLfFzOgeTbivb3NC/M9+U6WIiFw8KpTwmzVrFllZhcvF//73vzN69GjuvfdemjdvzuLFiys1QBERuTC2w78n/JrGljrWMLBwT4/EbCX8pHINGTKEIUP+WDXatGlT9u3bxxtvvHHOL2BGjRoFcM6yoBMmTCAtLY3Ro0dz++23U79+/UqL29NFR0ezdetW4uLi2Lt3L4Zh0LZtWwYMGODu0EREqtzqXUlM//AXsvIdQOEeZzOHtyuxJ9u/Nx9lycbfAHj91svo17pwT6+nhrejbYMgnvhsJ0dT8wAY3C6Sl2+6tFTScOTl0Yy8PLoaXpGIlEejRo1o1qwZY8eOZcyYMdSrV69UnyuuuILLL7/cDdGJVJ3UHBvzvj3Aez8ewe40MJnguksbMm1gS6JDa+6+nCIiUvkqlPDr0qVL8eN69eqxcuXKSgtIREQql+33FX4+saUTfo3rFJaPWn9sPXanHaul9N5g4n6GYZDnyKv26/p5+VXq3joZGRmEhoZe8DiLFy/myy+/ZOnSpcyYMYNBgwYxevRoRowYga+vbyVE6vkGDhyo8psiclH5evdJxr+3BcOAenV8yLM5OZiczW3//ImbukTzyDVt2HokjUdW7ABgYr/m9G8TWWKMkV2i6dsqgl+PpRMe6EPHRsHaQ06kBvnmm2/o1avXOfsEBQWxdu3aaopIpGrl2Zy8/UM8b647RFZB4c0uvVqE8/DQ1mct+SwiIhe3CiX8iiQnJ7Nv3z5MJhOtWrU6491VIiLiPs7sHBzJyUBhSc//1S+6H8/+/CzJucnEZ8bTsm7L6g5RyiDPkUfX97tW+3V/uvUn/K2Vc8fooUOHmDdvHi+++OIFjxUeHs7EiROZPHkye/bs4Z133mH69OmMHz+em266iTFjxtCtW7dKiNozvPrqq/zf//0fvr6+vPrqq+fsO2nSpGqKSkSk+qRkF/Dgx79iGPDXzo2Yc0MHcu1OXli9j3f/e4R/bT7KvzYfLe5/bcf6TB1w5s809er4lEoEikjNcL5kn0ht4XC6+HjrMV6K28/JzAIA2tYPYsbVrenVQt+9iojI2VUo4ZeZmcl9993H8uXLcTqdAFgsFm666SZef/11goN1l4mIiCewH00AwFK3LpagoFLH/bz8qB9Yn/iMeDIKMqo7PLlIHD9+nCFDhnDjjTdy1113VerYbdq0Yc6cOcyaNYsXXniBxx57jOXLl5Oenl6p13Gnl19+mdtuuw1fX19efvnls/YzmUxK+IlIrfTkZ7tIzbHROqoOs67vgJfFTJDFzNMj2nNtxwbMWPErh07lYDbBrV0b89g1bTGfYW8/EanZOnXqdMZVuSaTCV9fX5o3b86YMWPo27evG6ITuXCGYfDt3mTmrNrLgeRsoHBf2AcGt2L4JQ30u01ERM6rQgm/u+66i+3bt/PFF1/QvXt3TCYTGzduZPLkydx99938+9//ruw4RUSkAuxJSQBYz7HHWV2fusQTT1p+WnWFJeXk5+XHT7f+5JbrXqjjx4/Tt29funfvzsKFCyshqpKOHj3KsmXLWLp0KfHx8dx4443ceeedlX4dd4r/vSzv/z4WEbkYfPnrCb7ccQIvs4kXbrwEby9zieNXxIYSN7U3x9LyCPa3Euyn8uQitdWQIUN444036NChA1dccQWGYbB582Z+/fVXxowZw+7duxkwYAArVqxgxIgR7g5XpFy2JaQxe9Vefo5PBSDYz8rEfs0Z1b0JPl4WN0cnIiI1RYUSfl9++SWrV6/myiuvLG4bPHgwb731FkOGDKm04ERE5MI4Tp4EwCsq6qx9QnxCAEgvSK+GiKQiTCZTpZXWrE6JiYn07duXzp07s3jxYsxm8/lPKoOsrCxWrFjBsmXLWLduHT169GDq1KmMHDmSoDOsZK1Nnn76aaZPn46/f8mfh7y8PJ5//nmeeOIJN0UmIlL5TmcX8PhnOwGY0Lc57RueuZKM2WyicVjN+z0pIuWTkpLC/fffz+OPP16i/ZlnnuHIkSOsWbOGJ598kr///e9K+EmNEZ+Sw/Or97JyR+HNuj5eZu7sGcu9fZrpJhYRESm3CiX8wsLCzli2Mzg4mLp1615wUCIiUjnsJ35f4XeOhF9d38L3ba3wk8p0/Phx+vTpQ+PGjXnhhRc4depU8bGoc/w8pqamkpCQwPHjxwHYt29f8TlF591+++0kJCQwatQoFi5cSLNmzarwlXiWmTNnMn78+FIJv9zcXGbOnKmEn4jUGi6XwYMf/VpcyvNvfZu7OyQRcbN///vfbNmypVT7zTffTOfOnXnrrbe45ZZbeOmll9wQnUj5pGQX8Oo3B3j/pwQcLgOTCf5yWSOmDWxJg5ALr7QiIiIXpwol/B577DGmTZvGu+++S/3fy8QlJSXxwAMPlLrTSkRE3Kd4hV9k5Fn7hPqGAnAo41C1xCQXhzVr1nDw4EEOHjxIo0aNShwzDKP4cUxMDGPGjOGpp54C4PPPPy9RkvPmm28G4Mknnyzu88ILL3DZZZdhsVx8pW0Mwzjj3jW//PILoaGhbohIRKT8DMPgk22JvL72IAmpucSGB3Bdp4aM7RmLr9WC02Uw8z+7+GZvMt5eZl4cWbqUp4hcfHx9fdm4cSPNm5e8AWDjxo34+voC4HK58PHxcUd4ImWSU+DgnxviWfjdIXJsTgD6tqrHQ0Nb0zqqdlcrERGRqlfmhN//bo584MABmjRpQuPGjQFISEjAx8eHU6dOcc8991R+pCIiUm6OlBQAvOrVO2ufqxpdxVs73uKbI9/gMlyYTfpCTS7cmDFjGDNmzDn75OXlcfLkSXr37l2u81q0aHHGpFdtVrduXUwmEyaTiZYtW5Z4/U6nk+zsbMaPH+/GCEVEysYwDB76+Ff+vflYcdv+k9nM/Wofz6/ex+UxoaTm2DiYnA3ArOs70K7BmUt5isjFZeLEiYwfP54tW7Zw+eWXYzKZ+Pnnn/nnP//JI488AsDq1avp1KmTmyMVKc3pgvd/Psq8tYdJyS4AoGOjYB4e2poezcLdHJ2IiNQWZU74XXfddVUYhoiIVIU/En5n/wOiTVgbAGwuG7n2XAK9A6slNpH169fTr18/+vbt6+5QPN4rr7yCYRiMHTuWmTNnliit7u3tTUxMDN27d3djhCIiZbPgu8PFyb6ezcPo3jSMPUlZxO06ic3p4uf4VAC8LYUr+4Zd0sCd4YqIB3nssceIjY3ltddeY+nSpQC0atWKt956i1tvvRWA8ePHc++997ozTJESDMNgze6TzPnFQnL+HgAah/rzwOBWXNOhPmbzxXUjo4iIVK0yJ/yefPLJqoxDRESqgOP3fdO8ws+e8POx+OBt9sbmspFly1LCT6rNkCFDGDJkiLvDqBFGjx4NQGxsLD169MBqtbo5IhGR8jtwMou5X+0F4NGr23D3VU2Lj+XbnXy95yT7T2YT7GdlcLtIGtX1P9tQInKRcTgcPPvss4wdO5bbbrvtrP38/LT3mXiOzb+lMnvVXrYcSQNM1PW3Mql/C27r2kSlqkVEpEpUaA+/Ilu2bGHPnj2YTCbatm2rsgkiIh7EcDhwphbeJX+uhB9AoHcgqfmpZNoyqU/96ghPaqGYmBimTJni7jBqtT+XP83Ly8Nut5c4HhSkfT9ExHPNWbUXlwED20aWSPYB+FotXNtRq/lE5My8vLx4/vnni2+CEvFkB5OzmfvVXtbsPgmAr9XMVREO5ozpRWgdJaVFRKTqVCjhl5yczM0338y6desICQnBMAwyMjLo27cvy5cvp9459ooSEZHq4UhNBcMAsxlLaOg5+wZ5B5Gan0q2PbuaopPaSAm/qpebm8uDDz7Iv//9b06fPl3quNPpdENUIiLn999Dp/lmbzIWs4mHh7Z2dzgiUgMNGDCAdevWnXe/ZxF3Sc7M5+WvD/DvzUdxugzMJrjp8mju6x3Llu+/pY7vBa27EBEROa8K/aaZOHEimZmZ7Nq1izZtCvd+2r17N6NHj2bSpEl88MEHlRqkiIiUn/P3/fssYaGYLJZz9g20FpbxzLJlVXlcIlJxDzzwAGvXrmX+/PnccccdvP766yQmJrJgwQLmzJnj7vBERM7IMAye+72U561XNKZZPZUPF5HyGzp0KDNmzGDnzp107tyZgICAEseHDx/upsjkYpdd4GDh+kO8tSGePHvhDXgD2kTy0JBWtIisU6oqh4iISFWpUMLvq6++4uuvvy5O9gG0bduW119/nUGDBlVacCIiUnF/7N93/lXXdbzrAEr4iXi6//znP7z77rv06dOHsWPH0qtXL5o3b06TJk1YtmzZOfe0ERFxl/8ePs32o+n4Ws1M6t/C3eGISA117733AvDSSy+VOmYymVTpQKqdzeHig58TePWbA5zOsQFwaXQIj1zdhitiz11lR0REpCpUKOHncrmwWq2l2q1WKy6X64KDEhGRC+f4fYXf+fbvAwj2CQYgJS+lSmMSkQuTmppKbGwsULhfX+rv+3ReeeWVxV+CiYh4mvlrDwEwsks09er4uDkaEamp9H2TeArDMFi5I4nnV+/lt9O5AMSGB/Dg4FYMaR+FyWRyc4QiInKxMlfkpH79+jF58mSOHz9e3JaYmMjUqVPp379/pQUnIiIV5zj1e8KvDPuqtgkrXLG9PXl7VYYkIheoadOm/Pbbb0BhdYV///vfQOHKv5CQEPcFJiJyFj8dPs33B1OwWkzc3aupu8MRkVoiPz/f3SHIRerHw6e5bv5G7nt/K7+dziU80Ju/X9eeNVOvYmiH+kr2iYiIW1Uo4ffaa6+RlZVFTEwMzZo1o3nz5sTGxpKVlcW8efMqO0YREamA8qzw6xjeEYD9afurNCYRuTB33nknv/zyCwAzZsxg/vz5+Pj4MHXqVB544AE3RyciUtriH34D4K+dGxEd6u/eYESkRnM6nfz973+nYcOGBAYGcvjwYQAef/xxFi1a5ObopLbbfzKLcUs2cfPCH/nlaDr+3hYm92/Bugf6MqpbE6yWCn3FKiIiUqkqVNIzOjqarVu3EhcXx969ezEMg7Zt2zJgwIDKjk9ERCrojz38zp/wC/EJASDHnlOVIYnIBZo6dWrx4759+7Jnzx62bNlCs2bNuOSSS9wYmYhIaVuOpPLVriTMJhjVLcbd4YhIDffss8/yzjvvMHfuXO6+++7i9g4dOvDyyy8zbtw4N0YntdWJjDxejtvPR1uO4TLAYjZxyxXRTOrfgog6vu4OT0REpIRyJ/wcDge+vr5s376dgQMHMnDgwKqIS0RELlDxCr9650/4BXoHApBtz67SmKR2W7duHWPGjCkuOSlVr0mTJjRp0sTdYYiIlGIYBvO+PQjADZc1om2DIDdHJCI13bvvvsvChQvp378/48ePL27v2LEje/fudWNkUhtl5tt5c90hFn0fT4GjcP/IIe2ieGBIK5rVC3RzdCIiImdW7vXmXl5eNGnSBKfTWRXxiIhIJXGk/L7Crwx7+AVYAwCwu+zYnLYqjUsuHsOHD6dx48b4+vpSv359Ro0aVWL/3zMxDIOnnnqKBg0a4OfnR58+fdi1a1c1RVwzfPPNN1x77bXFZdWvvfZavv76a3eHJSJSwjd7klm37xReZhNjesS4OxwRqQUSExNp3rx5qXaXy4Xdbi/XWG+88QYdO3YkKCiIoKAgunfvzqpVq4qPl+UzaUFBARMnTiQ8PJyAgACGDx/OsWPHKvbixGMUOJws+j6e3nPXMn/dIQocLro0qcvH93bnzVGdlewTERGPVqEC04899hgzZswgNTW1suMREZFK4jxd+B5tCQ07b19/rz/21NEqP6ksffv25d///jf79u3j448/5tChQ/z1r3895zlz587lpZde4rXXXmPTpk1ERUUxcOBAsrKyivscPXq0qkP3WK+99hpDhgyhTp06TJ48mUmTJhEUFMTVV1/Na6+95u7wREQASMux8dDHvwJwe7cmtG8Y7OaIRKQ2aNeuHRs2bCjV/uGHH9KpU6dyjdWoUSPmzJnD5s2b2bx5M/369WPEiBHFSb2yfCadMmUKn3zyCcuXL+f7778nOzuba6+9VjfI11Aul8Fn2xMZ8NJ6/v7FbtJy7TSrF8DCUZ35cHx3OjcJdXeIIiIi51WhPfxeffVVDh48SIMGDWjSpAkBAQEljm/durVSghMRkYoxbDZc2YWJO0vdkPP2t5gt+Hv5k+vIJceWQ6iv/pjxJIZhYOTlVft1TX5+mEymCp//5/3mmjRpwsMPP8x1112H3W7HarWW6m8YBq+88gqPPvooN9xwAwDvvPMOkZGRvP/++9xzzz0ATJgwgbS0NEaPHs3tt99O/fr1KxxjTTN79mxefvll/va3vxW3TZo0iZ49e/Lss8+WaBcRcYd8u5M7l2zidI6NBsG+3Ne39GocEZGKePLJJxk1ahSJiYm4XC5WrFjBvn37ePfdd/niiy/KNdawYcNKPH/22Wd54403+PHHH2nbtu15P5NmZGSwaNEili5dyoABAwB47733iI6O5uuvv2bw4MGV86KlWvxwMIU5q/ayIzEDgHp1fJg2sCU3dm6El6VCayVERETcokIJv+uuuw6TyYRhGJUdj4iIVAJnRuEfKphMWILKtmdOoDWQXEeuVvh5ICMvj32Xda7267baugWTv//5O5ZBamoqy5Yto0ePHmdM9gHEx8eTlJTEoEGDitt8fHzo3bs3GzduLE74LV68mC+//JKlS5cyY8YMBg0axOjRoxkxYgS+vr6VEq+nyszMZMiQIaXaBw0axEMPPeSGiETkYnU0NZePthxj9a4kkrMK6NAwmJgwfzYcSOFwSg5mE8z96yXUq+Pj7lBFpJYYNmwY//rXv5g1axYmk4knnniCyy67jP/85z8MHDiwwuM6nU4+/PBDcnJy6N69e5k+k27ZsgW73V6iT4MGDWjfvj0bN248a8KvoKCAgoKC4ueZmZkA2O32cpclLYuiMati7Npgz4ksnl+znw0HTwMQ4GPh7itjubNHY/y9vTBcTuyuC1+xqXnwDJoHz6B5cD/NgWc43zxUdH7KlfDLzc3lgQce4NNPP8Vut9O/f3/mzZtHeHh4hS4uIiJVw5meDoAlKAiTxVKmcwK8AyBPJT2lcj300EO89tpr5Obm0q1bt3PefZ2UlARAZGRkifbIyEiOHDlS/Dw8PJyJEycyefJk9uzZwzvvvMP06dMZP348N910E2PGjKFbt25V84LcbPjw4XzyySc88MADJdo/++yzUneqi4hUBYfTxQtr9rPwu0O4/nT/5/r9p1j/++NAHy/m3dKJK1vo70QRqVyDBw+utNVzO3bsoHv37uTn5xMYGMgnn3xC27Zt2bhxI3Duz6RJSUl4e3tTt27dUn2KPtOeyezZs5k5c2ap9jVr1uBfSTfanUlcXFyVjV0TpRbAyqNmNp8yYWDCbDK4MtJgcCMHgbl7Wff13iq5rubBM2gePIPmwf00B57hbPOQm5tbofHKlfB78sknWbJkCbfddht+fn68//773HvvvXz44YcVujjA/Pnzef755zlx4gTt2rXjlVdeoVevXuc974cffqB37960b9+e7du3V/j6IiK1UXHCLySkzOeE+YYRnxHPydyTVROUVJjJz49WW7e45boX6oEHHmDcuHEcOXKEmTNncscdd/DFF1+cs1To/x4zDOOs/du0acOcOXOYNWsWL7zwAo899hjLly8n/ff/BmqbNm3a8Oyzz7Ju3Tq6d+8OwI8//sgPP/zA/fffz6uvvlrcd9KkSe4KU0RqKcMwePCjX1mxLRGAlpGB7D/5x41CbesH0a91BHf2jCEsUCv7RKRq2Gw2kpOTcblcJdobN25crnFatWrF9u3bSU9P5+OPP2b06NGsX7+++Hh5PpOWtc+MGTOYNm1a8fPMzEyio6MZNGgQQWWszFIedruduLg4Bg4ceNYqGxeTjDw7b34Xz7u/JmBzFP78XN0+kmkDWtAkrOoSrpoHz6B58AyaB/fTHHiG881DURWA8ipXwm/FihUsWrSIm2++GYDbbruNnj174nQ6sZRxBcmf/etf/2LKlCnMnz+fnj17smDBAoYOHcru3bvP+UEtIyODO+64g/79+3PypL6YFhH5X460NAAs/3PH6bk0CWrC5pObOZJ55PydpVqZTKZKK61Z3cLDwwkPD6dly5a0adOG6Ohofvzxx+Jk1Z9FRUUBhXdM/3lfvuTk5FJ3WBc5evQoy5YtY+nSpcTHx3PjjTdy5513Vs2L8QCLFi2ibt267N69m927dxe3h4SEsGjRouLnJpNJCT8RqXTvbPytONn36NVtuPuqpm6OSEQuJgcOHGDs2LHFK/CKFCXZnM7ylV709vamefPCfUa7dOnCpk2b+Mc//lFcJv1cn0mjoqKw2WykpaWVWOWXnJxMjx49znpNHx8ffHxK3xBhtVqr9EvXqh7f0+Xbnbz73994fe0hMvIKS6R1jQ1lxtVtuDQ6pNriuNjnwVNoHjyD5sH9NAee4WzzUNG5KVfC7+jRoyVW311xxRV4eXlx/PhxoqOjy33xl156iXHjxnHXXXcB8Morr7B69WreeOMNZs+efdbz7rnnHm699VYsFguffvppua8rIlLbVWSFX5OgJgAcyVDCT6pG0d6/f9635M9iY2OJiooiLi6OTp06AYV3cK9fv57nnnuuuF9WVhYrVqxg2bJlrFu3jh49ejB16lRGjhxZJXdGe5L4+Hh3hyAiF6mkjHz+8c0BAG7v1ljJPhGpdmPGjMHLy4svvviC+vXrn3e1XXkZhkFBQUGZPpN27twZq9VKXFwcI0eOBODEiRPs3LmTuXPnVmpcUnEul8Gn2xN5cc1+EtPzgMLV6Q8PbU3fVhGV/jMkIiLibuVK+DmdTry9vUsO4OWFw+Eo94VtNhtbtmzh4YcfLtE+aNCgUndr/dnixYs5dOgQ7733Hs8888x5r6MNkUXkYmQ/nQqAKSjojO9HZ3qvCvMJA+B03mm9h7mR3W7HMAxcLlepMkWerihel8vFzz//zKZNm+jZsyd169bl8OHDPPXUUzRr1oyuXbue9bVNnjyZWbNm0axZM1q0aMHs2bPx9/fn5ptvxuVyYRgGt99+OwkJCdx+++28+eabNGvWrFQM54rRMAzsdnup6gT6uRcRObuX4/aTlmunYYgfj13T1t3hiMhFaPv27WzZsoXWrVtf8FiPPPIIQ4cOJTo6mqysLJYvX866dev46quvMJlMTJkyhVmzZtGiRQtatGjBrFmz8Pf359ZbbwUgODiYcePGcf/99xMWFkZoaCjTp0+nQ4cODBgw4ILjkwtjGAbfHUhhzqq97DlR+D1gVJAv0wa15C+XNcJiVqJPRERqp3Il/AzDYMyYMSXKD+Tn5zN+/HgCAgKK21asWHHesVJSUnA6nWfcBPlsGxwfOHCAhx9+mA0bNuDlVbbQtSGyiFyMwrdtIxQ4kpbKlpUrz9rvz+9Ve+2FG5MnpiSy8hznSNXy8vIiKiqK7OxsbDabu8Mpl9zcXFwuF5mZmTidTj788EOefPJJcnNziYyMpH///ixYsKDEzTgdO3bk1ltvLb4B6J577iE9PZ377ruP9PR0OnfuzEcffYRhGMU37bzwwgs0b968+I7c8tQ1t9ls5OXl8d1335W6YamiGyJXp7Fjx57z+Ntvv11NkYjIxeRoai6f/3IcgOf/2hFfa/m3cxARuVBt27YlJSWlUsY6efIko0aN4sSJEwQHB9OxY0e++uorBg4cCMCDDz5IXl4eEyZMIC0tja5du7JmzRrq1KlTPMbLL7+Ml5cXI0eOJC8vj/79+7NkyZIKbXkjlWdnYgazV+3hh4OnAajj48W9fZsxtmesfn+JiEitV66E3+jRo0u13X777RcUQFk3QXY6ndx6663MnDmTli1blnl8bYgsIhejk//9kSygeadOXHH11aWOn+m9KjI5kve+fg8vfy+uPsM5Uj3y8/M5evQogYGB+Pr6ujuccvH398dsNhMUFET37t1Zt27dOfvn5eVx6tQpBg4cWOJ38qxZs5g1a9YZzzEMgxYtWlCnTp0KleDJz8/Hz8+Pq666qtS/b0U3RK5Oab/vz1nEbrezc+dO0tPT6devn5uiEpHa7vW1B8mzO7kiJpTuzcLcHY6IXKSee+45HnzwQWbNmkWHDh1KfedSnu94/rz38ZmYTCaeeuopnnrqqbP28fX1Zd68ecybN6/M15WqczQ1lxfW7OOz7YU3qHhbzIzq3oS/9W1O3QDv85wtIiJSO5Qr4bd48eJKu3B4eDgWi6XUar4/b4L8Z1lZWWzevJlt27bxt7/9DfijLJeXlxdr1qw54xdd2hBZRC5GRkYGAN5h4ed8L/rze1WIXwgAOY4cvX+5kdPpxGQyYTabMZvN7g6nXIriLWvcGzZsoF+/fvTv37/M1ygq2Vn0b1SRGE0m0xl/T9eEn/tPPvmkVJvL5WLChAk0bar9tESk8iVn5fPJtkQA7h/UUvsdiYjbFJXK/N/PjkU3jjudTneEJW6WlmPjtbUHWfrfI9ichX8rjLi0AdMHtSI6tOoqe4mIiHiiciX8KpO3tzedO3cmLi6O66+/vrg9Li6OESNGlOofFBTEjh07SrTNnz+fb7/9lo8++ojY2Ngqj1lEpKZwpqcDYAkJKfM5gdZAAHLsOVUQkUhpQ4YMYciQIe4Oo8Yzm81MnTqVPn368OCDD7o7HBGpZRasP0yBw0WnxiFcERvq7nBE5CK2du1ad4cgHiTf7uTtH+J5Y90hsvILS/X3bB7GjKFtaN8w2M3RiYiIuIfbEn4A06ZNY9SoUXTp0oXu3buzcOFCEhISGD9+PFBYjjMxMZF3330Xs9lM+/btS5wfERGBr69vqXYRkYvdhST88hx5OFwOvMxu/RUhNVBMTAxTpkxxdxgXpUOHDpXak1BE5ELl2538a9NRAKYM0Oo+EXGv3r17uzsE8QBOl8HHW47xUtx+kjLzAWhTP4iHh7bmqhbh+l0lIiIXNbd+m3vTTTdx+vRpnn76aU6cOEH79u1ZuXIlTZo0AeDEiRMkJCS4M0QRkRqpIgm/AGtA8eMcew7BProrUspHCb+q9+d9iaGwhNWJEyf48ssvz7jXsojIhVj8w29kFzhoGOLHVS3C3R2OiAgbNmxgwYIFHD58mA8//JCGDRuydOlSYmNjufLKK90dnlQhwzBYuy+Z51btY9/JLAAahvhx/6CWXHdpQ8xmJfpERETcvnxjwoQJTJgw4YzHlixZcs5zz7eBsojIxchwuXD+voefpW5Imc+zWqz4WHwocBaQactUws/NDMNwdwi1Uk3/d922bVuJ52azmXr16vHiiy8yduxYN0UlIrWR3enizfWHALind1OtmBARt/v4448ZNWoUt912G1u3bqWgoACArKwsZs2axcqVK90coVSV7UfTmb1yDz/FpwIQ7Gflvr7NuKN7DL5Wi5ujExER8RxuT/iJiEjlcmVmgqtws3KvcqzwAwj3CycxO5HTeaeJrhNdBdHJ+VitVgByc3Px8/NzczS1j81mA8BiqZlfDGjvGhGpLvO+PUhGnp2wAG9u69rE3eGIiPDMM8/w5ptvcscdd7B8+fLi9h49evD000+7MTKpKkdO5zB39T6+/PUEAN5eZu7sEcOEPs0J9re6OToRERHPo4SfiEgtU1TO0+zvj8nbu1zn1vOrR2J2Ism5yVUQmZSFxWIhJCSE5OTCOfD399eqij9xuVzYbDby8/Mxm83lPvfUqVP4+/vj5VUzPwLFx8fjcDho0aJFifYDBw5gtVqJiYlxT2AiUqMYhsGPh1M5nVNAn1YRkSa5XwAAnP9JREFUBPqUfE88nV3APzccBgpX91lUJk1EPMC+ffu46qqrSrUHBQWR/vvfQFI7pGQXMO+bAyz7KQGHy8Bkgus7NeT+Qa1oGKKbIkVERM6mZn7bJSIiZ1WR/fuKRPhHAHAq71QlRiTlFRUVBVCc9JM/GIZBXl4efn5+FUqEms1mGjduXGOTqGPGjGHs2LGlEn4//fQT//znP1m3bp17AhORGmNnYgaPfrqTX46mF7dNG9iS+/o2x2I2YRgGk5dvJ9fmpEmYP3dd2dR9wYqI/En9+vU5ePBgqRucvv/+e5o21XtVbZBrc7BoQzwLvjtMdoEDgN4t6/HQkNa0bRDk5uhEREQ8nxJ+IiK1jKMo4Ve3brnPLUr4aYWfe5lMJurXr09ERAR2u93d4XgUu93Od999x1VXXVVc/rQ8vL29y70y0JNs27aNnj17lmrv1q0bf/vb39wQkYjUJFuOpPKXN/5bqv2luP28FLe/RJuPl5l/3NwJs1b3iYiHuOeee5g8eTJvv/02JpOJ48eP89///pfp06fzxBNPuDs8uQAOp4t/bz7GK1/vJzmrcG/G9g2DmDG0DT2bh7s5OhERkZpDCT8RkVrGmZYOVGyFX7BPMAAZBRmVGJFUlMViqbF7zVUVi8WCw+HA19e3Qgm/ms5kMpGVlVWqPSMjA6fT6YaIRKSmMAyDGSt2AGA2wTf39yEzz87DK3bwW0oOefaS7yHPXt+BS6ND3BCpiMiZPfjgg2RkZNC3b1/y8/O56qqr8PHxYfr06brxqYYyDIO43Sd57qu9HDqVA0B0qB/TB7ViWMcGuulERESknJTwExGpZS6kpGcd7zoAZNuzKzEiEaksvXr1Yvbs2XzwwQfFyWCn08ns2bO58sor3RydiHiy1749yP6Thb/fP5nQk9jwAABWTe5FwulcbnnrRxLT8wD41/91o2vTMLfFKiJyNs8++yyPPvoou3fvxuVy0bZtWwIDA90dllTAliNpzF65h81H0gCo629lYr8W3NatMT5euulRRESkIpTwExGpZSoj4ZdlK72CSETcb+7cuVx11VW0atWKXr16AbBhwwYyMzP59ttv3RydiHiqrHw7i36IB2D6oJZc8j8r9xqH+fPDw/0wDKPG7nEqIhcPf39/unTp4u4wpIIOncrm+a/28dWuJKCwhPS4K2MZ36cZQb4XXwUPERGRyqSEn4hILXMhCb9Aa+Hdsdk2rfAT8URt27bl119/5bXXXuOXX37Bz8+PO+64g7/97W+Ehoa6OzwRcaM8mxM/7zOviJi1ci/puXZiwwO4t0/zs46hZJ+IiFSV5Kx8/vH1AZZvOorTZWA2wY2do5k6sCVRwb7uDk9ERKRWUMJPRKSWqZQVfnat8BPxVA0aNGDWrFnuDkNEPEBWvp2p//qFr/ecBKB/6wjeHNUZq8Vc3GdfUhYf/JwAwOwbOmDRfkgiIlKNsgscvPXdYd7acJhcW+F+sf1bR/DQ0Na0jKzj5uhERERqFyX8RERqGWda4R4IltC65T5XJT1FPNvixYsJDAzkxhtvLNH+4Ycfkpuby+jRo90UmYhUtwKHk97PryM1x1bc9s3eZJ74bCd/H9EeL4sZh9PFrW/9CECvFuF00758IiJSTexOF8t/TuAf3xwgJbvwd9Ul0SHMGNpav49ERESqiPn8XUREpCYpSvh51VXCT6S2mTNnDuHh4aXaIyIitOpPpJbJyreTkWvH5TLOePzBj34tTvbd1CW6uP2Dn4/S/NFVbD+azqhFP3P69z6T+7eo+qBFROSiZxgGq3acYNDL3/H4Z7tIybYRE+bP67dexqcTeijZJyIiUoW0wk9EpJZxpP++wq8CCb9g72AACpwF5Dny8PPyq9TYROTCHDlyhNjY2FLtTZo0ISEhwQ0RiUhV2HIkjTsW/USOzUnT8AAmNCt5/GByNp9tPw7AlAEtmDKgJc/9tSMf/JzAjBU7ALju9R+K+9/bpxldYrTPp4iIVK2f41OZvWoP2xLSAQgL8GZS/xbcckVjvL205kBERKSqKeEnIlKLGIaBMy0dqFjCL8AagJfZC4fLQUZBhhJ+Ih4mIiKCX3/9lZiYmBLtv/zyC2FhultapCYocDj5bPtxDMNgcLsoQvy9Sxxfty+ZO5dswvh9Yd/hlBxeL7BwVT8bEcFW8u1OHvmkMKnXuUndEiv3brmiMdn5Dp5duae47a4rY7l/YMuqf2EiInLROnAyi+e+2svXe5IB8LNauLtXLHdf1ZQ6vlY3RyciInLxUMJPRKQWcWVng8MBgCUkpNznm0wmQnxCSMlLIb0gnaiAqP9n777jsyrv/4+/zj2z94YEwl6CAwcqjiq4W+uuddVV62gttVZrv61aK7VWa6s/rbbWWRW3dQIuUAFlD9mQBBKyd3Ln3uf3x0nuOzcBZ0IivJ+PRx455zrrOvdJArnf+VxXL/dQRL6N8847j5///OckJydz1FFHATBv3jx+8YtfcN555/Vz70SkS1l9Oy8vq+DSI4pJTYh9o/Outzfwn09KAPjNS6v5zyWT+d6YXAC2N3i45LHFAIzNTyE5zsFnJQ2UtBocMvNDFtz0Pc54cAFVLV7inXbuOnMihmHEnP+Ko4bx/f0L2FDVyuSh6SS49CufiIj0jeoWL3+bu5Hnl2wnbILdZnDuwYVcf9xIclLi+rt7IiIi+xz99icishcJNTQAYCQkYIv7Zr9gdQV+jd7G3uyaiPSCO+64g7KyMo477jgcDuu/ceFwmIsuukhz+In0kbU7WhiWnUic0x5pC4bC3P/+Ztp9Qc48aDBj81Mi215ZXs7vX/ucVm+Qv7+3idevPZL9BltDZr+0tDwS9nW59PElLPnd8WQluXl4/pZI+78uOojB6Qm8v66SS59YBsDhf34/sv2WU8YyIidpl33OTYkjV2+0iohIH2n1Bnh43lb+/fFWvIEwANPH5XLjiWN2+2+TiIiI9D0FfiIie5FQoxXSOb7BcJ5d0uOsY5t8Tb3RJRHpRS6Xi1mzZvHHP/6RlStXEh8fz3777ceQIUO+1nlmzpzJyy+/zPr164mPj+fwww/nrrvuYvTo0X3Uc5E9zzRNfMEwboctUgUXCpss2lrPjqYOzjhwMHab1f7eumpuenk1t542nlMm5gPWm5lH3/0hDe1+irMSeeqyQxicnoA3EOKQP71Li9eqqP/3xyU8/9MpHFKcwYrtTfxy1sqYfpz+4Cd8eMMxtHqD/OoFa9sp++Vz6ZHFnPnQAgAm3/Eu8U47HYEQADPP2I/B6QkATB2RxVF5YeZXRec+ykuJ4+zJg/vqpRMREdklfzDMfz8t4/73N9PQ7gfgwKI0fnvyWM0VKyIiMgAo8BMR2YsEOwO/bzJ/X5c0dxqAKvxEBrCMjAy+973vfeN5++bNm8c111zDwQcfTDAY5JZbbmH69OmsXbuWxMTEXu6t7M1avQF2NHkZnZfcY1s4bFLf7icryYVhGARDYd5aU8VhxRnkpMRhmiZPLCglK9nNqRMLAHh5WTmrypu56aQxxDntVDV7eXJhKYPTEzh78mCcdhuLSxv46VNLuWLqMH52zHDafEFuemkVb6yq5IwDBnHPOZNo8Qb58b8XsaaihXinnYU3f48kt4MLH/2MhVvrAahr8/OzY4bzxqodXPvMcgCueWYZJXWjuPZ7I3ngg+ibmSV17Rz1lw9YdPNxvPN5VSTs6/KL55bz8IUHcfr/+wSAETlJ3DB9FFc9vYxQ2GTqXz6I7DskM4H7f3QANpvBvy6azE+fWkLYJBL2XTG1mPMOLow5/5nFYX595hHUtAUIhExOGJ/bYyhPERGRvhIOm7y5upK7Z29gW4MHgGHZidx4whj9myQiIjKAKPATEdmLhBqbgG8X+KW7rWObfc290SUR6SVNTU3ccsstzJo1i8bOcD89PZ3zzjuPO+64g7SvMW/nO++8E7P+2GOPkZOTw9KlSyNzA35XmKaJYRiEwiZ2m8GCzXUUZiRQVu9hbH4yLocNbyAcCZ268/iDtHmDJLodvLuumqNHZdPqDVKYYVVWhcMmYdPkucXbmToyi6wkN3abQZzTTiAUJmyabK5pY1lZIz8+dAi2zmqx0rp2Hl9Qys+OGR4ZVrG5I8A9czZw8n75HDYsk+2db5atrmgmK8nNIcUZvLW6kpXbm7jhhNE0tPupafExIieJLbVtjC9IYW1lCx+sr+GcyYU0egLc+OJKrj52BEeMyOLml1czJCOBa44dwZ/fXkdhRgKXHVnML2etoKrFy2OXHMKzn23jhaXl3HvOJN5dW80bqyq5++yJ+INhbn55NdccO4Ljxubw9poq3l1bzZEjMvB1wMn3f0JmkpuHL5jMRf/5lBZvkF9NH8W0cblc+OhnrNjexGOXHExFUwd/f28TdW0+Hvrxgawsb+ahD60hKl+4agqrypv54xtrAXjskoMJhMLc+rq1vrikgfMPHcKM560KuKVljTz44wP5yeOL2VzTBsC6yhaGZiVGznHXO+spSIvjrdWVzP68GoCXl1eQlezm6UVlePxWgNYRCPG9e+aRk+xmfVVr5Pnf9c561uxo5s1VlTFfF3+ds5G/vbuJUNiMaQ+bcMid70XWDynO4PYfjOeshxZS2ezl+w98Etl2x+kTOGxYJg/++ECu/u+ymPP8/tRxka+VaeNy+d+1R3Lq/R8DcNKEPG45Zdwuv9bH5CWzn9O5y20iIiJ9ZcGWOv789npWlVu/H2Ynu7n++JGcO7kQh932JUeLiIjInqTAT0RkLxKKVPilfeNzpLqteYYafarwExkoGhoamDJlChUVFfz4xz9m7NixmKbJunXrePzxx3nvvfdYsGAB6d8w7G9utt7AycgYGEMxbapu5cEPN5PabtC+tAKH3U5ls5dEt50dTV5cDhtrKppJjXeyuLSBpDgH2xs8BELmLs9nGFCQGk96opPvjc6hstlLdauPpaUNtHeGQt1NHpLO0KxE3llTRZsv2GP7D/Yv4I1VlTGB0IMfbsFptxEKm1Q0dQDw+IJSspLctPkCkfltnlxYRk6ym5pWX8w5CzPi2d7QEdmnq9prV/46Z2Nk+adPLY3Z1n0unTveXBdpH/v7aMh70t8/iix3D6mun7Ui5lxz1lZj/brQzqaadibdPieyrasirstPHl8cs37V07Eh19n/XPiF+z+xsIwnFpZF1ldXNMdUxQE8taiMnf3iuRU92h6Zv7VHW0O7P1Ktd/r+BazY3kRpvScS9g1Oj+fDG47hnIcXsmxbU+TZjstP4c2fH8kLS8q58aVVkfPlpcTx5KWHEOe089q1R3DS3z/CH7Re939dNJnDhlnVtyfvl89dZ+7HU4vKSHA5uOTwoRw3NjembxMGpbLlzpPxBkIx8wSKiIj0p/VVLfz57fV8uKEWgESXnSuPGs7lU4tJdOvtRBERkYFI/0KLiOxFQk29OIeft6k3uiQiveD222/H5XKxZcsWcnNze2ybPn06t99+O3/729++9rlN02TGjBkceeSRTJgwYbf7+Xw+fL5oSNXS0gJAIBAgEAh87et+kZeXbueV5TsAO2z8/Ev33zk825lpQkVTBxVNHaypaPnS8y0pa2RJ2e7/6OG1FTt6tFU2e3e5b11bz77tqr9dYR/whWHfl+kK+wYqu82ICUpzU9xUt8S+HtcfN4L73tscWb/8yKEsLWtk+XYrmHY7bHxy49Gc/tAiyhut121MbhKPXXIQU+6aFzlu0uBUnrv8YK58ejkfbbaG8Ux027n11DGYwOQ7P4j05aYTRmGGQ8w8fTyXP7WM7Y0d5KW4mXWFNezt6ZNyGZQ2mVteXYvTbvDKz6ZgJ0wgEKYozc3/+9Ek5m2s46wDBzG+ICXme+KM/fM5Y//8yPruvl9cNgiHgoR3evxd+/f295l8PXoOA4Oew8DwZc9Bz+e7bUdTB/fO3chLy8oxTXDYDM4/tIjrvjeS7GR3f3dPREREvoACPxGRvUhvzuHX5GvqhR6JSG949dVXefjhh3uEfQB5eXn85S9/4aqrrvpGgd+1117LqlWr+Pjjj79wv5kzZ3Lbbbf1aJ8zZw4JCQlf+7pfJKENjsy1sanFIMEB3hAkOqDZb4V3DX4Im99srhi7YZITB5Uduz/ebpikOKHR33Mfl80kGAaHDfzh2O1ZcSZ13p7HxNtNOkLRdqfNJNVFZN/CRJPt7bHHHZAZZnm9NUzWiBSTinboCBmkOE2y42BLq0Gy0yRsQrwd4hxQ77X2OTAzzNomA2/IYL/0MNvbDTqCMDbdJMEOC2psxNtNjh9kXaO83WBqXhiXDd7bYWN4ssm0QWH+ud5OmsvkopEhNjTZ+LDSIM4Bvxgf4u9r7DQHDK4cE8JtM7l/rYMUp8mZxWFa/PBSqZ1RqWHOHRamzmvwz3U2hqfAteOC1Pvg72vs2Az41Zh2AJ7cZKOmwzpftmc9xxXY2NpqMDEjzLjgZopywO2zEQrDYTlBPvlgLj8qhJeCdo7OD7N/ZhOfzX+Puw+BN7bbyI03OTynnjmz3+GsbBhhM/CG4JDsIPPesyoV/3AA1HphWDKEypbyVmcB4Q1joD0ATluQ9+fOjnkuvxgJBvDenNhhcQEOtkHZihLKVuz2S+tbmTt3bt+cWL4WPYeBQc9hYNjdc/B4PHu4J9IbmjsCPPThFh77pARfZ9X6yfvl8esTxlCcpTmeRUREvgsU+ImI7EUic/ilffsKPw3pKTJwVFZWMn78+N1unzBhAlVVVV/7vNdddx3/+9//mD9/PoMHD/7CfW+++WZmzJgRWW9paaGwsJDp06eTkpLyta/9ZS4LBJg7dy7Tpk3DudO8ZaZpVWWtr2pjcHoc766rZdLgVJ76dBvZSW7eXV/DocUZhMMmOSluClLjCJtw4vhcbAYYhkGTJ8CW2jaCYZN5G+s4sCiNt9dUc9XRxRRnJuCw2/AFQvzr41ImD0ln2bYmDhqSxqHF0WFPF2ypZ3NtO0eNzGR7YwdTR2RR3+bjrTXVHFacwaelDZxxQAF2w+CZxeUcWpyOLxhmXJ41t+AjH5WSnuDknMmDCYVNgmGTmlYv1S0+Jg9JZ2ttO2t2tDB9XA7NHQGWlDUxfVwOTruN7Y0e8lLicNiMyNyEHn8Qt8OO3WZE5jYE8AZChE2TBNeu/+u/pbadwvR47DaDDdWtjMhOwuWwceSWWkpWL+bMU6xn4OusPHQ77Zz7/TC+YIjkOOvZ/Hync97iDZIcF73e2Y0eshLdxLusISvPOjWIgRFZ/+FOx5+8i37+aBdtV+6i7fRdtO3qfN8VgS/4XpA9R89hYNBzGBi+7Dl0jQIg3w2+YIinFpbxwAebafJY1ZmHFGdw80ljOKDom/9eKSIiInueAj8Rkb1IqBcq/NLdnYGfV4GfyECRlZVFaWnpbkO5kpISMjMzv/L5TNPkuuuu45VXXuHDDz+kuLj4S49xu9243T2HcXI6nX36pusXnX9ikRW+nXPIEADu+GEaAL+YNvpLz5ud6iQ71apMPHKUVTl50sRBPa79y+ljAJg6umd15dFj8jja2szIPOvaeelOLp2aBMC4wdGfxVcePaLH8dceNyp6rc7PSfFuhuVYy6ML0hhdYJ03OSGOwZnJkf2H5aT2OF/qbl6nL3s+YzqvATCpKPp1dOjwbOo3RJ9B9/M4nfBFf+ufsdM1d+7v7voqu9fX32vy1eg5DAx6DgPD7p6Dns13Qzhs8trKCv46e2Nk/uGROUn85sQxHDc2J/KHQyIiIvLdocBPRGQvEg380r7xOdLirGObfE0xFSIi0n9OPPFEbrnlFubOnYvL5YrZ5vP5+L//+z9OPPHEr3y+a665hmeeeYbXXnuN5OTkSHVgamoq8fHxvdp3ERERERlYPtpUy5/fXs/nO6xqzNwUNzOmjeLMAwfjsNv6uXciIiLyTSnwExHZi3QFfo5eqPDzhXx0BDtIcPbu3Fwi8vXddtttTJ48mZEjR3LNNdcwZoxVVrZ27VoefPBBfD4fTz311Fc+30MPPQTAMcccE9P+2GOPcckll/RWt0VERERkAFlT0cxd76zno011ACS7HVx1zHAuPaI4Msy2iIiIfHcp8BMR2UuYoRCh5mbg2w3pGe+Ix2134wv5aPA2KPATGQAGDx7MwoULufrqq7n55psjc9gZhsG0adN44IEHKCws/Mrn6zpeRERERPZ+FU0d/P39z3lleQUATrvBBYcN4brvjSQj0fUlR4uIiMh3hQI/EZG9RKilBTrfxLen9pzb6asyDIP0uHSq2qto8jUxOHnXc4aJyJ5VXFzM22+/TWNjI5s2bQJgxIgRZGRk9HPPRERERGQgavIEeKXUxg2ffUwgZP2ueNqkAn49fTRFmfrDThERkb2NAj8Rkb1E13CettRUDKfzW50r3W0Ffg3eht7omoj0ovT0dA455JD+7oaIiIiIDGDbGzyc8o+PaPHaAJPDh2dy00ljmDg4rb+7JiIiIn1EgZ+IyF4iMn9fWtq3Pld6nDUkaJOv6VufS0RERERERPaswenxjMpNoqK2kTvOOojvjc3DMIz+7paIiIj0IVt/d0BERHpHsMGqxvs28/d1SXOnAdDobfzW5xIREREREZE9yzAMHjhvEjdODHHUyCyFfSIiIvsABX4iInuJrgq/3gj8MuKsOcE0pKeIiIiIiMh3U2aSG5tyPhERkX2GAj8Rkb1EqL4eAHtG71X4aUhPERERERERERERkYFPgZ+IyF4iUFMDgDM391ufq2sOP1X4iYiIiIiIiIiIiAx8CvxERPYSwZpaABw5Od/6XF1DejZ5m771uURERERERERERESkbynwExHZSwQ7K/x6I/DrGtKz0df4rc8lIiIiIiIiIiIiIn1LgZ+IyF4iEvhl916Fn4b0FBERERERERERERn4FPiJiOwFzFCIYF0d0EsVfnFpALT6WwmEA9/6fCIiIiIiIiIiIiLSdxT4iYjsBYL19RAKgc2GIzPjW58v1ZWKzbD+iWj0alhPERERERERERERkYFMgZ+IyHdEoLqG8p//gh2/vQUzGIzZFqypBcCRmYnhcHzra9ltdvIS8gCoaKv41ucTERERERERERERkb6jwE9E5Dtix02/oXXOHJpffpnG52bFbAvWVAPgyM7utesVJhcCsK1lW6+dU0RERERERERERER6nwI/EZHvAH95BZ6FiyLrdfffjxmIzq3n32aFcs7Cwl675uDkwQCUt5X32jlFRERERET628yZMzn44INJTk4mJyeH008/nQ0bNsTsY5omt956KwUFBcTHx3PMMcfw+eefx+zj8/m47rrryMrKIjExke9///uUl+v3JxEREekfCvxERL4D2j/5BID4Aw/EnpFBqLkZz7Llke3+sjIAXEOG9No1sxOsasH6jvpeO6eIiIiIiEh/mzdvHtdccw2LFi1i7ty5BINBpk+fTnt7e2Sfv/zlL9x777088MADLF68mLy8PKZNm0Zra2tkn+uvv55XXnmF5557jo8//pi2tjZOPfVUQqFQf9yWiIiI7OO+/URPIiLS57zr1wGQcOABuIqKaH71Vdo+/JDEQw8BINAHgV+6Ox2ARm9jr51TRERERESkv73zzjsx64899hg5OTksXbqUo446CtM0ue+++7jllls444wzAHjiiSfIzc3lmWee4ac//SnNzc08+uijPPXUUxx//PEAPP300xQWFvLuu+9ywgkn7PH7EhERkX2bAj8Rke8A33preBn36DHETXBGAr/c39wIgL+0M/Ab2nuBX0Z8BgAN3oZeO6eIiIiIiMhA09zcDEBGhvU7UElJCVVVVUyfPj2yj9vt5uijj2bBggX89Kc/ZenSpQQCgZh9CgoKmDBhAgsWLNhl4Ofz+fD5fJH1lpYWAAKBAIFuUzb0lq5z9sW55avTcxgY9BwGBj2H/qdnMDB82XP4ps9HgZ+IyABnhsN4O+eTiBszGkd+Pjgc+EtK8JeW4sjPJ1BZCfRuhV+G2/plt8nX1GvnFBERERERGUhM02TGjBkceeSRTJgwAYCqqioAcnNzY/bNzc2lrHN0laqqKlwuF+np6T326Tp+ZzNnzuS2227r0T5nzhwSEhK+9b3szty5c/vs3PLV6TkMDHoOA4OeQ//TMxgYdvccPB7PNzqfAj8RkQEusH07pseD4XLhKi7GcDhIOHgynoWLaJs3j8TDDwfTxJaYiD0zs9eumx5n/eJa11GHaZoYhhHZ5g/58Ya8pLhSeu16IiIiIiIie9q1117LqlWr+Pjjj3ts6/47ENDj96Jd+aJ9br75ZmbMmBFZb2lpobCwkOnTp5OS0vu/WwUCAebOncu0adNwOp29fn75avQcBgY9h4FBz6H/6RkMDF/2HLpGAfi6FPiJiAxwvi1bAXANH47hsH5sJx9zDJ6Fi2j98EPsaWkAuEeO/NJfPr+OopQi4uxxtPhb2Ny0mZHpIwEIhUNc9PZFfF7/Ofd/736OKTym164pIiIiIiKyp1x33XX873//Y/78+QwePDjSnpeXB1hVfPn5+ZH2mpqaSNVfXl4efr+fxsbGmCq/mpoaDj/88F1ez+1243a7e7Q7nc4+fdO1r88vX42ew8Cg5zAw6Dn0Pz2DgWF3z+GbPhvbt+2QiIj0rcCOHQC4Bg+KtCUdcwwAnsVLaF+wAID4SRN79bpuu5tJOZMAWF23OtL+x0V/5PP6zwG47v3raA+09+p1RURERERE+pJpmlx77bW8/PLLvP/++xQXF8dsLy4uJi8vL2aYLb/fz7x58yJh3kEHHYTT6YzZp7KykjVr1uw28BMRERHpS6rwExEZ4LoCP2dBQaTNNWQIruHD8W/ZQvNr/wMg4ZBDev3aBYnWNWs9tZG2lza9FLPP2vq1HJx3cK9fW0REREREpC9cc801PPPMM7z22mskJydH5txLTU0lPj4ewzC4/vrrufPOOxk5ciQjR47kzjvvJCEhgfPPPz+y72WXXcavfvUrMjMzycjI4IYbbmC//fbj+OOP78/bExERkX2UAj8RkQFuV4EfQNoZP6Tm7r8CYM/KImnq1F6/dlZ8FgC1HVbg9+bWN3vss6R6iQI/ERERERH5znjooYcAOKZz5JQujz32GJdccgkAN954Ix0dHVx99dU0NjZy6KGHMmfOHJKTkyP7/+1vf8PhcHDOOefQ0dHBcccdx+OPP47dbt9TtyIiIiISoSE9RUQGuK7Az7FT4Jd+wQWknn46tqQkcm++CcPl6vVrZydkA/DB9g8AeHnTy5Fttx9+OwBzSuf0+nVFRERERET6immau/zoCvsADMPg1ltvpbKyEq/Xy7x585gwYULMeeLi4rj//vupr6/H4/Hw+uuvU1hYuIfvRkRERMSiCj8RkQEuUNlZ4ZcfG/jZ3G4K/jwTmNln185NsCakr/HUsKRqCZ9VfQbAmSPPZErBFABKm0sJhoM4bPonRURERERERERERKQ/qMJPRGQAC/t8hGrrAHAOKviSvXvfEYOOiCz/ZPZPIstnjjyTnIQcXDYXQTNIZXvlHu+biIiIiIiIiIiIiFgU+ImIDGDBzsnjjfh47Glpe/z6brubIwcd2aN9VMYobIaNwmRruJrtLdv3dNdEREREREREREREpJMCPxGRASxYUwOAMycHwzD6pw/hYMz6lROvxG13A0QDv1YFfiIiIiIiIiIiIiL9RYGfiMgAFqytBcCRnd1vffjFgb+IWT99+OmR5cIUK/Db1rptT3ZJRERERERERERERLpR4CciMoAF66z5++zZWf3WhwlZE7j7qLvJjMvk6ZOfjoR8AEXJRYAq/ERERERERERERET6k6O/OyAiIrsXrLUCP0dW/1X4AZxYfCInFp/Yo11DeoqIiIiIiIiIiIj0P1X4iYgMYF0Vfv05pOcX6arwK28tJ2yG+7k3IiIiIiIiIiIiIvsmBX4iIgNYZA6/rP4b0vOL5CXlYTfseENe6jrq+rs7IiIiIiIiIiIiIvskBX4iIgNYtMJvYAZ+TpuTrHirbzWemn7ujYiIiIiIiIiIiMi+SYGfiMgAFgn8BmiFH0BOQg4AtZ7afu6JiIiIiIiIiIiIyL6p3wO/Bx98kOLiYuLi4jjooIP46KOPdrvvyy+/zLRp08jOziYlJYUpU6Ywe/bsPdhbEZE9xwwGCdXXAwN3Dj8gUuFX26HAT0RERERERERERKQ/9GvgN2vWLK6//npuueUWli9fztSpUznppJPYtm3bLvefP38+06ZN46233mLp0qUce+yxnHbaaSxfvnwP91xEpO8FGxrANMFmw56e3t/d2a2uCj8N6SkiIiIiIiIiIiLSP/o18Lv33nu57LLLuPzyyxk7diz33XcfhYWFPPTQQ7vc/7777uPGG2/k4IMPZuTIkdx5552MHDmS119/fQ/3XESk74U6h/O0Z2Zg2O393Jvdy463qg9V4SciIiIiIiIiIiLSPxz9dWG/38/SpUu56aabYtqnT5/OggULvtI5wuEwra2tZGRk7HYfn8+Hz+eLrLe0tAAQCAQIBALfoOdfrOucfXFuEdm3eCurAGv+vt7+mdKbP6sy3NbP4Jr2Gv3skz7Xl//O6utXRERERERERES+q/ot8KurqyMUCpGbmxvTnpubS1VV1Vc6xz333EN7ezvnnHPObveZOXMmt912W4/2OXPmkJCQ8PU6/TXMnTu3z84tIvuGlMWLyQMawiar33qrT67RGz+rSgOlAGyp3sJbfdRPkZ31xb+zHo+n188pIiIiIiIiIiKyJ/Rb4NfFMIyYddM0e7TtyrPPPsutt97Ka6+9Rk5Ozm73u/nmm5kxY0ZkvaWlhcLCQqZPn05KSso37/huBAIB5s6dy7Rp03A6nb1+fhHZdzRUVNAA5I0dy6STT+7Vc/fmz6oRjSN48u0n8Tl9nNzL/RTZWV/+O9s1CoCIiIiIiIiIiMh3Tb8FfllZWdjt9h7VfDU1NT2q/nY2a9YsLrvsMl544QWOP/74L9zX7Xbjdrt7tDudzj4N5Pr6/CKy9zPrGwBw5eT02c+T3vhZlZ+SD0CjtxHs4LTpZ5/0vb74d1b/bouIiIiIiIiIyHeVrb8u7HK5OOigg3oMyTV37lwOP/zw3R737LPPcskll/DMM89wyimn9HU3RUT6TbC2FgBHdnY/9+SLpbnTcNgcmJjUd9T3d3dERERERERERERE9jn9OqTnjBkzuPDCC5k8eTJTpkzhkUceYdu2bVx11VWANRxnRUUFTz75JGCFfRdddBF///vfOeywwyLVgfHx8aSmpvbbfYiI9IXvSuBnM2xkxWdR1V5FraeWvMS8/u6SiIiIiIiIiIiIyD6lXwO/c889l/r6em6//XYqKyuZMGECb731FkOGDAGgsrKSbdu2RfZ/+OGHCQaDXHPNNVxzzTWR9osvvpjHH398T3dfRKRPBevqAHDkDOzADyAnPoeq9ipqOmr6uysiIiIiIiIiIiIi+5x+DfwArr76aq6++updbts5xPvwww/7vkMiIgOAaZrRCr+srH7uzZfLirf6WOep6+eeiIiIiIiIiIiIiOx7+m0OPxER2b1wWxum1wsM/CE9AbITrD6qwk9ERERERERERERkz1PgJyLST9o++oj6xx/HDAR6bOuq7rMlJWGLj9/TXfvasuOtwK+uQxV+IiIiIiIiIiIiIntavw/pKSKyL/IsW872K64EwPQHyLryipjtwZrO4Ty/A9V9ADkJOQDUeFThJyIiIiIiIiIiIrKnqcJPRKQfND73bHT56acxQ6GY7ZH5+74jgV9kDj9V+ImIiIiIiIiIiIjscQr8RET2MNM08SxcFFkP1tTQsWpVzD7BOis4+64EfqrwE/numT9/PqeddhoFBQUYhsGrr77a310SEREREREREZFvSIGfiMgeFqiosCr4nE4SD58CgHf1mph9IhV+WVl7vH/fRFeFX4O3gUC455yEIjLwtLe3M2nSJB544IH+7oqIiIiIiIiIiHxLmsNPRGQP823cBIB7+HDiDzqI9gUL8X6+m8Av57tR4Zcel47DcBA0g9R31JOXmNffXRKRL3HSSSdx0kkn9Xc3elf9FohLhS0fQMH+4IwHVyI4EwADHK6ex4TD0F4LidlQtRLyJoGt29/EeRqscwa94IiP3RYOgxkG+07/pQ6HwGYH0wTDsNr8Hqs/XesAbbXWsfHpvfUKiIiIiIiIiMg+SoGfiMge5i8pAcBVPJT4CRMA6Fjzecw+37U5/GyGjcz4TKo91dR6ahX4ici317CFIXUfYKwLQqjDCsVaK8GdClWrICkXNr4DiVmwdR64kqB5O2D2PJczAeIzYP/zrfW8CVC+GEo/gcZS6GiI7jv6ZMgYBqmDrYDuzRvAEQf+Nig4AA68EDqaIKUAFjwAdRut8/nb4fSHYNMc+OheyB4FtRvgjH9ZoeOsCyF/EpghGP9DGHQQ/PdsiEuDHz0Dn79qhYrtddY5f/wCvHOTdW8/fAgqV8GnD8MpfwWbA5Y/DeN+AE3brEAybyJsfNu61wMvhuVPgmGDCWfC2v9BWzWMOx2S82DFM5CUDRPPheq1MO/PcOjPwJ0M7/8RDroEhk7F/ux5jA4XASeDrxU+/SdgwNRfwcf3Wq/dcbdax21bYN3vhDOtkHTh/XDE9ZA53Lqn138BY06xnkE4DPPussLOo35tve5bP4SGrVbfbXaoWQ9tVTD0qGjIGg5DYwmkFYHdCUGf9XoXHw1xKd2+dkqsrwt3crQt6LfOa7N/6y9NERERERERkYFIgZ+IyB7mL7UCP3dxMXHjx1ttW7cSamvDnpQEfPcCP7Dm8av2VFPbUdvfXRGRPuDz+fD5fJH1lpYWAAKBAIFA7w7la3vvVpyLHmB/gO2PfbWDuod2Owt4rI/5f/ny82x4q2ebv/P+diyzPnZWsdT6/K9jo21Vq63PL1wcbdveOX9r+eJom68F/nlkz3PePTy6/PSZ0eVZF0SX17/R8ziAD/4UXX7v9ujywp2Gb33jl9Hlze9Gl0s/wrS7sIX8jGEZ/OnVmMPCZQuxbbH2N1e/CGlDMGrXWds2v4/RVGatL3uS8MTzMMo/w2jYCuvfIBgKYVvyb2yVKwAIGU6wu7DPudk638d/J3jpuzj+cwKGtwmA4AWvYWz/FPu8O61rjD6F0FlPYPvwLuyf3IOJQejUv2NO/BG2936P/dOHMJ0JhC54DbPgAIyKJTgePxEzLo3QGY9iFh8NgG3en7Gt/x9m3iRC0/4ECRlghjHKPsa2+gXCRVMwJ50fc+/GsifA7uzRTtALgY4+qdbs+v7q7e8z+Xr0HAYGPYeB4cueg56PiIiISP9Q4CcisocFKioAcBYW4cjKwpGXR7CqCt+GDSQcdBCmaRKsqgLAkZPTn139Wrrm8av17DrwC5thbIamjhX5rpo5cya33XZbj/Y5c+aQkJDQq9fKbzKYjI3GxOE4Qx0AxAUaCNncxAWaMHZVxSe9ygj5d7utK+wDMAIe6Az7AGyb3ondd9VzMeuO16+NWbe/94fY6zaV4rx3ROwxT/8g9pwb3qTtnkmkeK1/Tw1MHG/8nJKFr1Bc/0GkX47HprFw+A1M2fJXq83bhOOZM1k0bAbJ3grG75hltddtpGp7CYuH/ZwxO15kdPX/Ovv+LKuXL2JrzokkeSs5qPRB0jrKAFi7dD6b8r5vdcgMM3XjH8nwbMHjzGDemD/id0SrC92BJrJb1xKwx9OQOJKAI2mXr+uXmTt37jc6TnqXnsPAoOcwMOzuOXg8nj3cExEREREBBX4iIntcoNIK85z51rCXcaNH01ZVhXf9ehIOOohQUxPh9nZrn8GD+62fX1dOghVO7qrC7/kNzzPzs5n89ei/clzRcXu6ayLSC26++WZmzJgRWW9paaGwsJDp06eTkpLyBUd+A8Hj8LZdyccLljNt2jScTidg/cc1GA6CYYfa9ZA6GGPzXMz8Sdi2vIeZXoxt2eOYWaMxatZiDj8OwkEIBzEHHww2F+agA61qrKZtGI0lGNsXYWaOwrbk35j7nQONJYQPuwaSCzDWvQquJOzv/h/hMadBXCpmUh7mhLMxVj2H4W/FqFmHUfYxwbOeBEyruq1uI7YP7iB06j+soSW9TRDowP7ObwjvfwHhqTdgW3g/AMaOZZA6mNCJd2OfdT5G9RqCF72Bbc0LGO01mNnjMMo+JjzmNIyGzdhWPkPoe3/ACHiwz/kt4QlnEd7/AuzPnA3J+QTPfAzHk6dCUg7BMx/H8d/TwddG8Cezcbx+HUbtOkIn/AVj9SxsO5YS3v9CzPh07Av/gZk1ivDYH2Bb/4a1X/6BlAazGF47B9OwETrrSewvXoxhhggXHIRZeAj2Tx8CIDzqJIymbRg11hDV4f3OxahZi1G9unP7ydBeg61iCQBmcgFm7gRsm+dEHruZMcyqBOwUHnlijwDRTBmM0VIeCfvM+HSMjkaASNjXXVfY191hW+/t0VbQvITTOl7AVv16TPt+Fc8w9vgLsD95CYYZjrSPq3yRUdMuwSw4EPvr12LzbAEgIdDAiWV3EvzpJ9Yws75WHPcMjxxr2t0Ef7k+drjRkB/bR/dg2/gmoWN/jzlyekwfAoEAc+fOjflekD1Pz2Fg0HMYGL7sOXSNAiAiIiIie5YCPxGRPcg0TQKd1XvOPCvwc48ZQ9u8efjWbwAgsG0bAI7cXGxud/909BuIVPjtFPitb1jPHxf9EYA/LfoT3yv8HoZh7PH+ici343a7ce/iZ5LT6ez9N12dTnC4geW7OH/n8qCJ1uf9z7U+546xPo89+audP3485I+HcadabZMvimyOzPK2/3nW53Gn0mPmt277d+sVDJpkfT7yFzjsO70uk87F7kzAbrPByXfFbLIBXDYbgl6czngoPLDb1l8RqY8+8U7rP/CmCYMPwlZwADaHG36+HJzxOBOz4IYN4EzAaXfCZe+CvxXnoIPg8ndhxzLsQ46E8d+H2vXYhh0DZhiGH4Mx5Ajszjg47nfQWk3YHseaOR8w5PgrcCRn4yg4ABJeA0xsxUdZ/RlyOGyaje2EO625DmvWQcNWbKNOgOZya77ACWdgy58EdZvh5Stgv7MwplxjBXUPH23Nh3jhqxgONzx+KlSugB89h614Kix+FN7sDJp/Oh8jtRBm/xZWPguFh2JcOhvKPoHHT7H2Sci0XouadfCfE6Iv4U/etq5z/2QIdw41F5cG1y2DV34Km+diW98Z9qUXw0Wvwt+tZ+l4otvX1AkzYdmTULvOClZ3wWipwDlvJpx0Fzx5nvX6dm0L+XC++XM492mrwdMAL18Jm60qGcfLl8KV8yBnTI/z9sn3mnxteg4Dg57DwLC756BnIyIiItI/FPiJiOxB4eZmzA5reDpHZ+AXN2Y0AN716wHwby8HwFVY2A89/OYiFX47Den5Vkl0PqzajlqWVC/h4LyD92jfRKSntrY2Nm/eHFkvKSlhxYoVZGRkUFRU1I8920vsHPYBuL9kKEfDAGf8Vzu/YUDRYdH1tG7/ZsSlRpezR8VevyuoS8m3PsCqmByxU/V1ci4EAmAYmMOOtUJSgOKpsfuN+7710aVgf+sDIHs0TOs2DGzWCLiyWxVefDr8YmX0fgAufNmqwOy6h4Mvsz66+/4DMOxY614MA4YeCTdth+2fQtoQ69iiw+DiN2DFf2HMKVYwCXDx/+Cxk6xrX/4eJGbCec/Ac+dboVvxUXDW41b7pXPgP92q7aZcC4f9DEZOhwcOiu3T1F/Bcb+Hly6H1S/AZw9bH12Ov9UKQBf/G9a/BSUfWX16dBrUR78PCXqttqsXQeqgSLMz2Ir9mbOgeRs0bYfz/gujugWaIiIiIiIiss9T4Ccisgd1VffZ09OxxcUBVoUfgG/TJsxQiMB2q8LP+R0L/HZX4bekaknM+rr6dQr8RAaAJUuWcOyxx0bWu4brvPjii3n88cf7qVeyz9m54tvh7qzu/AJ2B0w6N7YtLgVGTottK57aM6Accjjc2rzTNV1Wxd36N2D0yeDqnJOy6FCrWvDDP8N+Z0fPnzUCLngJnj7TWh8xDabeYC2f/k9oLIXyxdHzH/s7OPKX1nJLJWx4E57YqTpw+p9g4jnw1A+heg08cgz88nOrb23VnLz6mtj9nznHqgTsCldFRERERERkn2f78l1ERKS3BCorAXB0zt8H4CoqwoiPx/R68ZeVRSr8nIXfnfn7YNcVfm3+NtbWrwXgtGGnAVDWUrbnOyciPRxzzDGYptnjQ2Gf7JOccbDfWdGwr0vGMDjjkZ5h4ojj4f/q4P/q4YIXo8fZHdbwoUffZK1Pudaq/uty+oOQPjT2XCNPgMOvhaSc6L7tNbDsCfA0YH8rOncmg7v9wczs30Io8I1vWURERERERPYuCvxERPagYGT+vvxIm2G34x41EgDf+vWROfxchd+tIfWy47MBaPA24A/5AVhTv4aQGWJQ0iCmFEwBYHPT5t2eQ0RE5DvD7rQCvl21H3uzVUl4wp/A1u1Xrvg0OOux6Pr374cfPx9dH/9DGHWitfzWDfCXYmybZgMQPPV+ax7Gn34Ejnhr7sKFD/S8fssOeOAQ+GM2vHSFNQSoiIiIiIiI7PUU+ImI7EGByq7ALy+mPW7MWAA6Pv8c78aNALiGFe/Zzn1LGXEZxDviMTGpaKsArOE7AcZljmNc5jirrWEdwXCw3/opIiLSrwYdaIWBtzbDgRfFbjMMOOs/MOHMmOaPR9yMOelH1kr+RDjlHmv53VuhvNvQ2R2N8K/vQd0GCPlh9fNw3wQo/bjv7kdEREREREQGBAV+IiJ7UKCq55CeAPGTJgHQ/OprhFtaMFwu4kaN2uP9+zYMw6Aw2Zp3cHurVU3QPfAbmjKUeEc8HcGOSCAoIiIiO3ElwpmPWqHeyOkEL3qD+uSxsftMPAcSrLlz+fdx0F4H616Hu4ZCa2XPc754Gfg9fd51ERERERER6T8K/EREepFpmvhLSwm1tu5ye7Cy55CeAAkHHQhAqL4egLgJEzCczj7sad8oSraGIY0Efg1W4Dc2Yyx2m53chFwAajw1/dNBERGR7wLDgIMvhx+/gFl4WM/tdidc+HJ0/e7hMOsCazllMFz+nlVBeMUHVltbFXzwp77vt4iIiIiIiPQbBX4iIr2o/l//ZsuJJ1Fy5lmYgUCP7YGuOfx2qvBzDRlC3MSJkfXkadP6tqN9pDDFqvDb1rKN9kA7ZS1lAIzJGANAdoI1z1+tp7Z/OigiIrK3yJ8EJ/+1Z/uPn4fBk63lQQfCkb+0llc+C97mPdc/ERERERER2aMU+ImI9JKw30/9v/8NQGDbNto+ip0vxwyHCXYGfo6dKvwA8n57M7bkZNxjx5J29ll93+E+0DWk57bWbWxo2ICJSW5CLpnxmQBkx3cGfh0K/ERERL61Q66A69fAsb+Dqb+Cm8shd3zsPsf+DjKGg6ce5vyuf/opIiIiIiIifU6Bn4hIL/GtXUu4pSWy3v7xRzHbQw0NVtWfYeDMzelxfPz++zNy3ocUv/gC9qSkPu9vXxiaMhSATY2bWFW7CoCxmdF5h7qG9Kxs38X8QiIiIvL1pRXC0b+G434P7uSe2+0O+MED1vKyp6Bq9Z7tn4iIiIiIiOwRCvxERHpJx8qVMeuexYtj1gOd8/c5srJ2Oz+fLSEBw27vmw7uAeMzx+OwOaj2VPPchucAODTv0Mj2ohRrjr/SltL+6J6IiMi+acjhMOxYwIQXL4VwuOc+O1bAe7fDsich1HNYchERERERERnYFPiJiPQS3+YtAJHhOH1bthL2+SLbA1VWVZsjv+dwnnuLBGcC+2XtB0BFWwUARw46MrK9qwKwtLl0T3dNRERk33bq38DmhLqN8PyF0fbGUnj5SnjkaPjoHvjfdfCfE6G1qt+6KiKyJ8yfP5/TTjuNgoICDMPg1Vdfjdlumia33norBQUFxMfHc8wxx/D555/H7OPz+bjuuuvIysoiMTGR73//+5SXl+/BuxARERGJUuAnItJLAhVWwBW//wHYUlIgHMZfWhrZHuys8HPm5fVH9/aYybmTI8uFyYUMSRkSWR+cPBiAGk8Npmnu8b6JiIjsszKKYcrV1vL6N2BmIdyaCn+fBKtmxe5bsQSeOVeVfiKyV2tvb2fSpEk88MADu9z+l7/8hXvvvZcHHniAxYsXk5eXx7Rp02htbY3sc/311/PKK6/w3HPP8fHHH9PW1sapp55KKBTaU7chIiIiEqHAT0Skl/grrL/kdA4ejHv4cAB8mzdHtgeqOgO//L078Dt71NmRufp+NulnGIYR2ZYelw5AIBygxd+yy+NFRESkjxx/Gxx0ibXs6/bvcFIenP883LQNLpsLcalQuQJe/0V/9FJEZI846aSTuOOOOzjjjDN6bDNNk/vuu49bbrmFM844gwkTJvDEE0/g8Xh45plnAGhububRRx/lnnvu4fjjj+eAAw7g6aefZvXq1bz77rt7+nZEREREFPiJiPQGMxwmsMMastM1eBDuEVbg59+yJbJPsGtIz7y9d0hPgPykfN48403mnDmH04afFrPNbXeT7EwGoMHbELOtqr2K//vk//i08tM91lcREZF9imHAaX+HS2dD/v5W2wEXwnVLYdQJVtBXeAh8/35r24pnoHptv3VXRKS/lJSUUFVVxfTp0yNtbrebo48+mgULFgCwdOlSAoFAzD4FBQVMmDAhso+IiIjInuTo7w6IiOwNgrW1EAiA3Y4jNxfXsM4Kvy1bI/sEKveNCj+wgr38pF0HmxnxGbQGWqnvqKc4tTjSfsO8G1hZu5LFVYt584dvYrfZ91R3RURE9i1Fh8FP5+1++7gfwJAjoOwTeHMGXPrOnuubiMgAUNU5Oktubm5Me25uLmVlZZF9XC4X6enpPfbpOn5nPp8PX7d53ltarGrrQCBAIND7wyh3nbMvzi1fnZ7DwKDnMDDoOfQ/PYOB4cuewzd9Pgr8RES+In95Oa3vvEPi1KOIGz0qZlugc2J2Z34+hsMRqfDb5ZCee/kcfl8mMy6TspYy6jrqIm2t/lZW1q4EoKKtgvnl8zm26Nj+6qKIiIic+jf4f4fAtoVQuwGyR/d3j0RE9rju0xOANdTnzm07+6J9Zs6cyW233dajfc6cOSQkJHzzjn6JuXPn9tm55avTcxgY9BwGBj2H/qdnMDDs7jl4PJ5vdD4FfiIiX1Hlb2/B89lnOJ54khEfvI/hiP4IDVRUAOAcNAggMoefv6wMs/MvMoI1NQA48vfuIT2/zODkwSyrWUZZS1mkbVHloph9FlcvVuAnIiLSn7JHw/DvwZb3YfZv4YKX+rtHIiJ7TF7nH2lWVVWR3+33t5qamkjVX15eHn6/n8bGxpgqv5qaGg4//PBdnvfmm29mxowZkfWWlhYKCwuZPn06KSkpvX4fgUCAuXPnMm3aNJxOZ6+fX74aPYeBQc9hYNBz6H96BgPDlz2HrlEAvi4FfiIiX0GwthbPZ59FltsXLiRp6tTIdn9XhV9n4OfIz8dISMD0ePBv345hs0EohBEfjyM7e8/fwAAyNGUoQEzg91ml9do6bU4C4QDbW7f3R9dERESkuxPvgv93sBX6tVZB8r49SoGI7DuKi4vJy8tj7ty5HHDAAQD4/X7mzZvHXXfdBcBBBx2E0+lk7ty5nHPOOQBUVlayZs0a/vKXv+zyvG63G7fb3aPd6XT26ZuufX1++Wr0HAYGPYeBQc+h/+kZDAy7ew7f9NnYvm2HRET2Bd71G2LWPYuXxKxHKvwGW4GfYRi4i6356XybN+MrLQXAVVRkhX/7sMKUQgDK28ojbaUtpQAcX3S8ta21vMdxIiIisodlj4KiKWCG4ZN/9HdvRER6VVtbGytWrGDFihUAlJSUsGLFCrZt24ZhGFx//fXceeedvPLKK6xZs4ZLLrmEhIQEzj//fABSU1O57LLL+NWvfsV7773H8uXLueCCC9hvv/04/vjj+/HOREREZF+1b7/rLCLyFfm3lcWsd6xcGbMeqNgBgKuzwg+IzOPn37qVQOfE7q6hQ/uwl98N2fFWhWN9R32krava78jBRwJW4Gea5p7vnIiIiMQ66gbr85JHoa22f/siItKLlixZwgEHHBCp4JsxYwYHHHAAv//97wG48cYbuf7667n66quZPHkyFRUVzJkzh+Tk5Mg5/va3v3H66adzzjnncMQRR5CQkMDrr7+O3W7vl3sSERGRfZuG9BQR+QoC27YBkHDYYXgWLcK3IbbiL9A1pOfgwZE21zAr8PNt2YotKdFqU+BHZlwmAPVeK/Br8jZR2V4JwOEFh2M37HhDXmo7aslJyOm3foqIiAgw/DgoOAB2LIfF/4Zjb+7vHomI9IpjjjnmC//I0DAMbr31Vm699dbd7hMXF8f999/P/fff3wc9FBEREfl6VOEnItIp1NpKy5w5hP3+Htv826w55ZKOPhoMg1BTE8HGRgDMYJBAVRUQncMPohV+vk2bohV+Q4b06T18F2TFZwHQHmjHE/Cwpn4NAEXJRWTFZ5GfmA/QYx6/DQ0bWLhj4Z7trIiIyL7OMGDKtdbyx/dCa3X/9kdERERERER2SYGfiAhghkKUXXwxFT//BZW3/K7Hdn9nhZ971EicBQVW25YtAARraiAYBKcTR3Z25Ji4CRMA8G3cSMeazwFV+AEkOhOJd8QDUOWpYmvTVgBGZ4wGoDDZmuOve+BnmiZnvX4WV869kjV1a/Zwj0VERPZxE86EQQdByA8f3NHfvREREREREZFdUOAnIgJ416/Ht3YdAC2vvx6p3gMrDOwa0tM1ZAiuYcMA8G21gip/13CeBfkY3eZqcObmWuFgOEy4pQUcDtyjRu2R+xnIDMNgVLr1Onxe9zk72q35DwcnWcOh7irw6758y8e37KmuioiICFhVfof/3Fpe9iRsnde//REREREREZEeFPiJiACeTz+LWfeuXh1ZDlZXYwYC4HTizMvD3Rn4+bdYgV+gwgqsXN2G8+ySOHVqZDl+/0nYO+fy29eNzxwPWMN0VrRWADAoyXr9IoFfSzTkm1M2J7Jc2lJKIBTYU10VERERgPGnw5hTreXnL4Lm8n7tjoiIiIiIiMRS4Cci+5RgXR2B6poe7b6NG2PWO1ZFA7+u+ftcgwZhOBw9KvwCXRV+gwb3OG/a2WdDZ9VfxgUX9MId7B2KUooA2Na6jWU1ywAYmT4S2HWF30flH0WWw2Y4UhUoIiIie9DJf4XEHPA2wb+OgxXPwtr/wYL74Z3fwqrnoa22v3spIiIiIiKyT3L0dwdERPYU79q1lF1wITgcDH/nbRwZGZFt/rIyAOImTsS7ahW+zZuj27ZZ25xFVhDlHt5Z4dcV+FVYFWrOXVT4xU8YT/HLLxGsqSGpW7Xfvi4/MR+A+eXzCZkhkl3JTMyeCMDgZCs43d4WDfx2Dvi2t25nSMqQPdRbERERASAlH378Ajz7I2jdAa9e1XMfww6TfwLH/QHiUvZ8H0VERERERPZRqvATkX1Gw1NPE/Z4CLe00PTiSzHbugK/5O8da61v2RLZFpm/r8gKmFzDh1vtO3YQ7uj4wsAPIG70aIV9O+kavjNkhgAYmTYSh836G5SuCr9mXzOt/lYC4QA1Hqsqc7+s/QAob40OI2aaJr+e92uufvdqguHgHrsHERGRfVLB/vDT+XDYNeBK7rndDMHif8NTPwRv8x7vnoiIiIiIyL5KgZ+I7HWCjY2E2tpi2kzTpH3hwsi6Z+mSyHKotZVQQwMAScd+DwBfaSlm0AqP/GVdgZ81DKUjPR17WhqYJv6SEvwVnUN6Dt514Cc9jUwfydCUoZH1YWnDIssJzgSSO99ArO2oZXvrdsJmmDh7HJOyJwGxw30+s/4Z3il9h48qPmJLUzSoFRERkT6SlA0n3gm/LYebtsPvauHWZuvjnCfB7oKKJfDmr8A0+7u3IiIiIiIi+wQFfiKyV/Ft3syWadMp+eEZhD2eSHuooYFgVVVk3bt2bWTZX2pV99mzs3CPHIERHw+BAP7tVqjU9dk1pChyTFeVn3ftWoKV1nm7AkH5cjbDxkG5B0XWfzD8BzHbs+KzAKjvqGdtvfWsxmSMiVT/da/we3Hji5HlTU2b+qzPIiIisgtxKeBwRdfH/QDO+Je1vPoFWP3iro8TERERERGRXqXAT0T2KvX/eYxwWxuB7dtpeunlSHtXlZ49PR1sNkK1dQTr6qxtpaUAuIYMwbDZcBUPtdq3bsU0TfydQ3o6C6OBnnuYVZHW+t77YJrY09JwZGb29e3tVS7b7zIKkwu5YfIN7J+zf8y2rsCv1lPLpkYrxOse+HXN7xcKhyhrKYsct6JmRWTZNE3aA+19eAciIiKyS+NPh4OvsJbn3w1+/XssIiIiIiLS1xT4ich3Uv3jj7Pt0ksJVFbGtPs2RSu8PEuXRpYD263Qzj16NM6CAgD8JSXW521WYOQaYs3R5x5mVe/5tmwlVFeH6fGAzRYzZKerM/Br++ADa33E8N67uX1EYXIhb53xFhePv7jHtqw4K/Cr8dRQ0VYR2b97hZ9pmuxo20EgHIgc92nlp5Hlf678J4c/ezj3LLmnL29DREREduWYmyA+Heo2wJL/9HdvRERERERE9noK/ERkQAv7/YT9/pi2QFUVNX++i/YFC6n83f9F2k3TxL91a2S9Y9XKyHJkHr7CQlzDigHwbbUCv8C2ziE7izoDv87wzr9lc7S6Lz8fmys6XFXcmNExfYofP/5b3KXsrGtOv3UN6yLDdw5OHkxBUgEGBh3BDuq99ZS0WM8w0ZkIQEVbBWEzDMAjqx4hbIZ5/PPH2dq0dRdXERERkT6TmAXf+521/NkjqvITERERERHpYwr8RGTACrW1seXEE3vMx9c2b35k2bN8OWYwCECwppZwe/TNpOCOSkKtrQCR4M41pAh3sRX4RSr8yq1AyVU42PrcWb3n27IV/7ae8/cBxB94INiiP0ITDjvs296udDMxayIAn9d/TmlLKQBFyUW47C7yEvMAq8qvazjPQ/IOwW7YCYQD1HfUx1T9AZFg0Bfy8fKml9nesn0P3YmIiMg+bOK5kDIYmrbB8qf7uzciIiIiIiJ7NQV+IjIgtL7/Pg1P/xfTNCNtza+8SnBHJf4tW2ic9Xyk3bdhfWTZ9Hgiw3h2BXjOIUU4srNj2vydQ3o6i4pw7RT4BbZb4Y+z0Bou0j28s8Jv61b8ZaWR47qzud2knXO2tW3wYBKnTPlW9y+xuir8ylrKaA+047a7GZo6FLAq/QC2t26PBH7D04aTk5ADwI72HZQ2lxI0g5HzdVUJvrHlDf6w4A+c/MrJVLVX7anbERER2Te5k+GIX1jLnz4MocAX7y8iIiIiIiLfmAI/Edmj/GVltHbOe9elfdGnlF99DdV33EHHsmXR9k8XRZY9n30WWfauWx9zvHf9BuvcJdawje7iYdEqvc4hPgNdQ3oWFeEa2jmkZ2kJYa+XYE0NYAV3XfvgcBD2eGhfuLCzbUiPe8m9+WZyf3szhQ//E1tc3Nd6HeSLZcdn47Q5I+tjMsbgsDkAYubxK20uBWBIyhDyE/MBqGyrZH1D7NfI9lYr1N3QuCHS9nbJ24A1FOynlZ9S2RY7H6SIiIj0gknnQUIWNGyBVc9/+f4iIiIiIiLyjSjwE5E+E2xsJOzzRdbDfj9lP/kJ5T+7mtYPP4y0t8x+p9vy7Miyv3OOPYCO1asj1X9d8/TFH3RQ5/oWIDonn2vYMFzFQyPnCLW0EGpqsrYVFkYq/ALlFZFz2ZKSsKelAWA4nbiGWAGfd+UqoOecfWBV+WVcdFGkIlB6j91mZ0hKNGQ9JO+QyPLgJCuYLW8rjwz3OTRlKAVJBYBV4ddV+Wc37JF9gUhACLC5aTMAz214jsvnXM45b5xDs6+5b25IRERkXxWXAkf83Fr+5O8QDvdvf0RERERERPZSCvxE5FvzbthI46znMbu9gdPw5JNsmnI4O278TaSt7b33CO6wqqganngi0t6xcmWPZTMQiMy7BxCqqyNYW0uoqYlQsxXKJB1zNGDNtQfRINBVPBR3Z4Wfv6QkMg+fPTsLW2IijpxsbImJEArRvmABYA3naRhG5Hpdx0fWx479+i+MfCtXTrwysnz8kOMjy10VfpsaN1HtqQZ2CvzadkQCvsMKrLkVK1orME0zpvJvS5MVFM8utULmJl8TK2tXEjbD3LHoDn4979ca9lNERKQ3HHQJuFOgbgOsfaW/eyMiIiIiIrJXUuAnIl+ZGQzS+PzztC+KDrUZam2l5KyzqPrDH2h9J1qpV/PXewBonT2bYH09EDsUp/fztZimien349uwMdLu37wF0zTxl5dDMIgRH49z0CBrW2kp/s759hw5OcSPH2+1dwZ9XXPyuYcNw1XcOaRnyVYC26xqr65hOQ3DiFT5tc3/yNrWOZxnl/j9948su4qLcaSnf81XS76tE4eeyE8m/IQr9ruCsRnRwLUr8FvXsA6AVHcqaXFp0cq/1vLIEJ5T8q25FcvbyilvK6fR1xg5T3lbOWEzzNr6tdG21nLW1K1h1oZZvFP6Dg+ueBCAD7d/yDGzjuH1La/33Q2LiIjsreJSYcq11vK7t0HQ98X7i4iIiIiIyNemwE9EAPCXVxDu6Iisd6xYwZYTT6L+sccjbU0vv0zV7//Atkt+Qsfq1QC0zn0XAgFr+6uvAhBqbsb0+yPHdVXR+bZsibSFW1oI7thhBXuhEIbTCXY74fZ2gtXVkfDOVTw0Mh+fv7QUf/e5+DqH0vRv306opYXAjh3WtmHDcA+zAj1/2TZ8XecqLIxcvyvw65ob0DU0do6+lBNPALs1HGTKaad+1ZdRepFhGMw4aAY/P/DnMdWX3Yf6BBiean0ddAWB21q3Ud5qVfhNzp2Mw+YgGA6yrNqaHzInPgeAZl8zJc0ldASjX/fdhwkFIhWB171/HfXeev61+l8APLD8AX70xo/Y1mJ9PbYH2mn0RsNEERER2cnh10JSLjSVweJH+7s3IiIiIiIiex0FfiJ7uY6VK2PmywtUVbHlhBOpnjkz0lb3yL/YcvzxbD31NMzO8K7hqafxl5ZSc9ddkaCubf78yDFdVX6+jdHqvI4VKzFNE9/mzTF98G3YAIC/W+AH4F2/Hn9pZ/XdyBGRefN8m7dEqvbcxd3m4ystw99ZrecsKsKRkxMZmrNt3jwA7KmpONLTceTnY8TFQSBAe1cV39ChkWu7R46M6UtcZ7VgF+egQQx5/DHy/3QHmZdeigwcSa4ksuOzI+uT8yYD0cBve+t2GrwNABSlFDEoyaoQXVK9BIBhacNIc6cBsKgyWq0KVoVf1/x/ACXNJZHwEKC+o56wGebhVQ+zpn4Ndy+5m1A4xIVvX8ipr5xKg7cBT8DDxsaNiIiISDeuRDj2t9byvD9D3aZd7+drUwWgiIiIiIjIN6DAT2SACvti3+jwbdlC2OuNrPu3baP8up/jWb4cANM0qfn739lywon4NllvoHiWL6f03PMo/9nV+LZaVW51//wn/rIyGp540qquA1reeRuAQEUF3nXrMEMh2j7+OHItz7JlmKaJZ/GSSFvHCmuuva5rQWfVXnV1TBuAd+NGwn5/ZE6+hEMPtY7dvAV/aSkAriFDcHdV7G3ZHK3KG1YcCer8paUEulX4GYYRqf5rffe9zv2tdcNmixzXNS+ge+SISJ8SDzk4po9xE/ZjZwkHH0zamWdii4vrsU3611GDj4osH5ZvzdOXnZBNnD36rFLdqSS7kiNDfS6uWgxAfmJ+JARctCM28Ktoq4hU7QF4Q97IcQAt/hY2NGyIrNd56lhWs4xNjZto8bfwaeWn/H7B7znzf2fynzX/wTRN3i55m4/KrdA5bIZp87f1ymsgIiLynbP/BZC/P3ib4ekzocYanpuWHfDOzXDPGJg5CGYWwouXQoeq50VERERERL4qBX4ie5hpmgRrazHD4ch68+tvUP/Y45imCUD944+zYdL+tMyZA1jB3dZTTqX07HMItbUDUH7NNbTOnUvF9b8EoGPJEuofssK8phdfBKD5lVe7Lkr7x1bg0L1Kr+299wi1tuJbHw0wPEuWEigvJ9zcHGnzrl5DsKY2tu3zzwF6hHu+DRvwbbIq/LrmwfNt2mwFe+EwtuRkEqdYAY1/6xb8ZZ0VfkOH4hphBX5WhV/nfHzFxbi7Ar+Skkho6BpSZG3vCvze6wr8iiN9cXdbBiKBIkDchAnQOUyke/RonIMKkO+Oq/e/mlR3KrkJuUzKngSAzbAxODk6F+OEzAkAkbaKtgoABiUNigR+CysXAnBonhVC71zhB/Bp1acx62+VvBVZLmsti6nmW9ewjtmlswH429K/Mb98PjfOv5Gr37uarU1bufjti5k6ayobGzfyUflH/Hfdf/GH/ITCIfwhaxjcRm8jnoDn27w8IiIiA5PdAefPgvgMa2jPBw+DW1Ph3rGw6EForbT2C/lgzUvwn5OsMFBERERERES+lAK/vuJt2f1QNKYJDSXW5y8TCkJbrbUc8MKif0JrlbVe+gnUb9n9sfKlzJ2eQaCqimBDQ2S94/PPIwETQLi9nY7VazBDIcAa1nLbT38a2SfY2EjpBRdQ+fs/ABBqbWX7Ndey5eRTIhVr5dddx6apR7Hj1zcC0PzyK+z49a+puesuvKtWEWpqoubPdwFQe8+9ALTOtoI/36ZNtLzxBsGGhkioFqyuJlBdg2fZ8kg/2z6yqvO6D7fZvnARobY2gjsqI23eTZvwrl0HneEjQMeqVTFz7QF4163DX2INsWlPT7euW1VFoKKCYE0NAIlHWxVX3o0bIyFgysknW/tWVtKxfAVghW5dVXi+rSU7VfhZFXi+zZvxdQ7p6Ro2LFrht317ZLhQZ1FRZLt1kaB1/uJoyNd9mE5bSgrObnP4GQ4HQ2c9R+LRR5H/x9tj5oiTgS8nIYfXfvAaL5z2Ai67K9I+Ii1axXlAzgFAdKjPLsPThjMo2Qr8fCHr5/RhBVYI7Ql6WNdgVRtkxWcB8GllbOD3dsnbkeVWf2tkbkCArU1bY/Z9YeMLkeUXN73IitoVBMNB5pfP5+r3rubPn/2ZFza+wHlvnsdxLxzHxsaNnPzyyfx07k/xBr28vuV16jrqWFm7kodWPkQwHPw6L5OIiMjAk5wHV7wHeRNj25Ny4bg/wPVr4OLXITkfatfBcz/WEJ8iIiIiIiJfgQK/PhDvr8PxjwnWL6dgBXsrZ8GS/1jrC/8f/GN/WPGMNUzNPw6Al39qbfO1woZ3oLYzqHnjevjrSKhYBnNugXd+A8/+yBr+5vGT4f4DrbDmtWvgsVOs470tsO1T8Ld3nrMN6jrnVAt0wNYPrSDR1wqL/w3tddYxH8yE6rXW+Va/GA0TA96e4WQoYB0DULbQ2h9g/Vvw6SPW8rrXYekT1nL1WqhaHXuOQAd4OsO1ta/BmpcJd3Ts+kXd8DbB9R/HhFrB2lpqH3yQYEMjVK4k1NxA/WOPWwFS0E9o0yJaZs8mUGFV9XjXraP6T3+k9f0PAPCXlbH11NMov/Y6a728gq0nn0LpOediBoP4yysoPe9HlJx1NsGGBoKNjWyeNp3Ss8+m4amnACi/5lra582n/Jprrdu8cyYdS5bS9PzzBKpraJ0zl7b33sO/dSvNL79CqK2Nts6hJ1vefBMzEIjMPQfgWbw45h79FRWE2tpp/+STSJt37drInHhdOlauiFTcAfi3biXY2BgT+HnXr8e/09x6/k2bI0EeNuvHgW/zpkjg5x41ytqvpCTSFr///jiyrfnTWt6xKpkcBfkkHHCgdfyGjZFQLv7AA3Hk5QHQOvsdAFzDh0Wq8vxbt0YCP/fQoZEhNzuWL7eqCQ0D15AhOPLyMBISIBgk3NoKNlukWs89fFjMPcVNmBBZTjr22Mhy8rHHYtjtMfvGT5xI0cMPEz9xpzec5DshMz6T9Lj0mLYfjflRZPnAXOtrclzmuJh9RqSNiAzz2b0tJz4nsm437EzJnwJAXUddzL7VnuqY9fe3vR9ZXrhjYcy2T3ZEv3ff3PpmZPmVTa9Elp9d/yzrG9bT5GvijkV30BZoY0XtCu5Zcg+//fi3XDn3Si546wIeXPEgMz+dyRVzruD+5fezvGY5/1j2DzwBDxsaNtDib9n5JQKsYUTB+gOHnf/IQUREpF9kDIOfzoeL34CT7obL34NfroWpMyCtEIqPgp+8DfHpsGMZvHd7f/dYRERERERkwHP0dwf2RnnNKwg2+bB73sVWtRpWv4D58d/BBGPYsYTfvgVPjZvEV67GOOc/0LAVs24rxhE/hzd/hVm2EFypGFfPh+VWsMSKZ2Dp49byjmWwvVvFSel8WP60tTzn/6w5MT5/GZJyCf/wCdruvZjkjGqMK98l+ML1tC7bSurP/4xt+X8Il6/Av2opcfbtUPoRofUfEkoZh2vTf2DoVFo4mvDHD5J20nGEhx5H9X0PEXfgEaSnLCNUsZZ683xSm/6NOzWIr8ZDy0M3kz7CgyNzOMHHL6JpawIJFxskLLmOtko3VZvHk/+jA0mcdibVv/slHWWN5P3pXuLeu4j6DYnULE9l0ElxJB9+AOUvlOMtqyX78gtIq7idHR9k0F4dx6Czh5Fy9sWUXXU7/oYQwdUfkpczm7JPxuErb6L9k48oPD2V0ttex9/qIH7SRIY++yzbLzmPYLOfxhdeZvTiz6j87W/xb9mCf8sWAlVV1P/rEcIeD2GPB8+zd+Itq4ZAgHAgQMMd1xFXmEaos/qv7f0PSD7mKMLtVqjq27SJ4JL/0b5gQeSxtD96C96K6BCYniVLIkNZdvG+9RDeJR9122cpZrBbBU8wiPeVe/BtiQZ13lVLcBXmxZzHt34D3nXrYtraPviQsCc6LGCwshLPUqsSyZGTQ7Cmxqqk6wznkqdPp/Wdd/CXlkWG+Ez63rH4Nm0i3NYWmb/PPXwYYW8HwdpaWmZbgZ975Ejco0Za971okfU6GQbu4cNwjxpJsKqK9gULO48fgauoCOx2wu3tkdfQOWQItoQEK3jsrDh0DhqELT4egPjx4/EstuZScxUXR+bVi9sprIufNCmy7B42jOxfzcC3fgNZV/8M2fsdmHsgPxn/E6raq9g/Z3+AyJCfXYakDKG8rTymrTC5kMHJg6npsCpWByUNojg1dkjYidkTWVW7qsc1g2b0e9Yf9sdu61aR1+CNVg9va41WDncfQnR5TTTwf27DcwBsaowOm/v8xucBWFS5iMfXPI4/7OeZ9c/QHminILGAJFcS1Z5qTik+hVW1qzgg9wBmrZ/FNQdcwz9X/pMzRp7BIXmH4LA52Ni4kdyEXI4rOs6aD9PmwmZYwb9hGNR11JHgSCDBmdDjnkVERL41w4DiqdbHrmQUw+n/hGfPtf5gctwPoPCQPdtHERERERGR7xAFfn0gobKEzW/mEJcaYOiUJwkt+x/bZmcTDhgMmz6bujXJ1K9LJmNMG7nHbqRlWxw7Pksjs/FGsjKXUPJONqYJQ4f+EZsJFZ+k43v3PYYeFcLmhPYqN6E33yLFhKDHTtOffkdqmh1XcoiWN16lcmE8+QfHkVJYTfVNV9G02k7m2GRy3rmJbc9X42tKI/Tg38gcUsL2eZl4XviQwqPrSciBsie24GsuY9iJDli5kIq3twBxJKS+TPvLb9K0NA0Wv0rqmZXUrUmmYcP/aHRmMeqMKqr/cg/tZSk0bEhi5PhHKX03i0C7A8etf2HEKbB9XiZQRfk/3mBEyaM0LM4H7GyfcRPDphvULE8FoPrDdtzGq7StygWg7tHHSTrGRnu1FfBUvrIZZ/PV+BusKrOmD1aRcZIDX3kTAO0fLyCQWo2/1Tq+Y+Uq/LeOItjsBMD0evH9ZigdK5IBaxjHjlun0r7UGXmGbS/8C2+zE3AD4PlsIZT4gWRr/2WLab/v4pjn3vaPKwnVR6uNPPPn4G+zR87hXbUcz+xZMce0P30XgYaUyLp39XIMf0PMPq3P/xvCiZF136bN+F76M5CALd5BuCNIx6cfEii3Aoz4/cbSsXodLU8/BIA7P4lQu5dgS5CWx+4GIDm7lsZak3B7O+2vPwnYSbSvot1tI+wL0jrHGrIwLiOMMz+PwI7K6Bx5BVmE65LxAN5VVvgR1/A+ce++BSQRqrOqoZyD8rHFxxM3YgTt86OhprvyNYz3NuAqKsRfUgqAI8WFY/7vIBzGNXgQ/m3brXvJDML7d0DaEOInTYoEfvHJLVaVqt2Bs2UVSWMzaFvXQNo5Z2Pz7IAF/4Up10I4RNYPjoRRTZAZDyUfQTgIw4+1jq9cYQ0RlTvOmidm3A+hrdp6AypjGOxYDoMmW8fYnWDrViEYClhtQZ9VLZuYZQ23m5QL/jawOcEZF90PrKpWZ7xVMashRPvMjMkzYtZddhdFyUVsa93GUYOPwjCMmKE/IRrwLauxQvGhqUNj5gMEOCz/sJjAb0TaCDY3xVbN7kld4WJ7wArNd7TvgM7C7mfWPwPAmvo1gDWfIMB/1/2X/677b8x5nDYngXAAu2EnLzEPu2HHG/TS4m8hLzGPcZnjODT/UAwM4h3x1HXUUdJcQsgMMXXQVFr8LSyuWsylEy4lOyGbhZULyXBn4A15OaLgCOw2O4FQAKfdiYiIyNcy+kSYdD6sfAZevRqu+sj6v5SIiIiIiIj0oMCvD7g3bCMQNvA2umh+421aNvjxNVlhled//6J+nRUaNaxPIm3hm1QsyACg7t0tJB0Hvs5gqua/c0kZ4qK1PB7w0loRR8hv6wzGVmM/xk1LaTzNpfXUkcvwU6upXuwk7IeKTzJIOL2KptXWG8L165JJHrwSX5MVkjWu9OAw4/HUWGFUc2k8vmYHvibr2i3b4wi0R788WiviaNkW/eW6rdJNc6m1Hg7YaK9y017mj6w3z/6AQHsaAMG2EK3lcZFjw35bzLmCrSGat0YrSIIddtoqotsDTUGaSqLbw8HY48HYaR0aNyXGrq/0AdE3m5s32zBD0cCltcRPoDV6vx0NLnzN0XVfkxOj2wC4ZtCkZWkFXWEeQNPW2CoYb5OzM/DrPCYELW+9BTgw7CZmyKC5zOq3zRkmHLARrG/uHNLTjjstgK/JScs267WLz/TjbXJghmyR1zN1cBONm5JoX7oWALsrTELoMzpIpn2tFZq5XTWEDRttLXF4O0cmjEtoxJWciL/Fib/Z6qPbuwp3cgodPhdmwKqwcy//E25SCBAHgYDVtuAGzCYnkBa5N3dCKw5nBzZnAuGA9UK5zS1wayruknggGoS6GufDpx/gDqTjp7N6L6U5UqWa4EjFj/X84m0bYL4VwKS2J1BPKmCQlrEO/pgZOWfBWANvrpME/g73/91q/OiemOfBhres6thdScgCT5019G75Z7vep7v0odBYCqmF0Gy9zgw+xDr2qF/D4ket+WlGnQgf3xsNDStXwPG3WUPgepvh/Odg7u+htRpOuQeeOh1sDjj3aXjr19DRABf9DzbNtobOPe7/wJUEix6Eoikw4Qyr+nfjbDj6N5A1CrZ+AEEvjD3N6lfAC5ixb47tg8M63nvMvbyy+RWumngVAHmJeZGKvSMHHUmcI46R6SMj+w9JGcKQlCGR9XhHPEcUHMEjqx6JtB2Ue1Ak8EtxpZDgTKCq3ZpjNdGZGAniBrpA2PreDpkhKtoqYraVtpRS2lLKWyVv7fLYlza9FFl+fevru72Gw3AQNIM4DAdjMsbgsrvwhrx0BDtw292MzRjL9KHTeXPrmzT7mnHYHJww9ARa/a3kJuTiDXkZmTaS2o5acuJydnsdERHZC514J2x5H+o3wQd3wvQ/xm4Ph6yRUDa/CwmZMOUayBnbL10VERERERHpT/0e+D344IPcfffdVFZWMn78eO677z6mTt3NsC7AvHnzmDFjBp9//jkFBQXceOONXHXVVXuwx18iHCJc0Q64AGhc1YGvKRoKNa+oA6LBUNU7O4iERqYRE2w1b4sn6I0GRm074vB3C6XaK920VcYGTkFPdHvVktSYrlUvj1aSBb02WsqiAYCn1kXAE71We7U7JgBrLk2IhIEA9RuSCPmi+9d9nhxzrZ0Dt7o1sdvrP0+K3X9z7P7163YK7DbErjdtiQ3Xdr5ew8akndZ3Ot9O12spiz1fR52rc8kEwwoZu8JRuztEyGfHU2utOxODBNoddNRZ6/FZPjrq3JHXy7CHiUsL0lHvijy/lKIOmksS8LdY+yTk+PA2uAh22Al1PvOUIR3UNjkjr7M7NYBpgrfBRThohWqpQzto3BS9V1dKgLj0QMy9xKUFCfkN2nZEQ1d3WgB3ajBy/WhbIHrvhokrKUhchj/mWFdKEDMcW53mTgtgGHQe3/k6ZAQi27o44kI4E0MAJA/ydobZEJ8dHQYxbZiHpq0JOOLDpAyJzunoTvRQdGyQkM9GQk7ssIl2l0liXmxbD7sL+8AK++CrhX1ghX0QDfu6HzvfqqKkowFqrCCWiiXR/d79Q3T5ocOjy/+ZHl1+8vvd9pkSXd40O7r82SPw2rXQFSqtfRXy97dCRYCc8TD5J/DWDdZ6aiFc/i4segg+uQ8ncFTCMDhuKmz4AF681Novewz88GEo2N9aD4eseT6bt1sViu5kq5oxMQccLr4rRmeM5qZDbopp+/uxf2d26WxOGHoCAMcVHcd9S+/DG/Kyf/b+DE0ZGtl3aMpQilKKIutuu5tJ2ZOYtWFWZHucIy4S+E0dNJV3Sq15K+Md8XQEdzM/6T6ia9jToBmMVB12t75hPa9sfiWm7YPtH+z2fH9M/eNut4mIyF4mPh1Ouw+ePQ8WPgCjToChR1rbatZZ/x/q/n+tlc/Cuf+1qgNFRERERET2If0a+M2aNYvrr7+eBx98kCOOOIKHH36Yk046ibVr11JUVNRj/5KSEk4++WSuuOIKnn76aT755BOuvvpqsrOzOfPMM/vhDnoyK1bSURt9Wb0NsW+It2yLDZa6QqQuTVuiQZQZtMUELa3be1axdQ9e6tfGhmpdYUqXriDGOrlBe1X03EGPIyYs7KiN7Vf3sA/AWx97X9GArHP/ZucXrgc8sV96kSDTMME0CPmtkCtS+dYZgnWFbV1VZI6EIEGPg5DfWnclB/C3Rq8Vn+mno94FpvU6JeT68FS7I69bYr6X9sro65BU4KW9KrrdnRbEsJmR52jYTFKHdMQEiqnFHurWRMPU5MFevE1OzM5QLi4tSFx6wOpHp5QhVuDXJS4tiBkyCHZE7zO5wEvtyuh54zoDtEhf7GHiMgI44kOR49ypQeLSdgr8MvwxwTGGiSvF6lPX15QzKYjdaeJOjc435k4NYtiJCRBdyUHsLrNHqOhKCXa+3tHAL6nAGzmPKzmIv9VBypCOyEiWyYVe4jb5ccSFSR8RrYSKzwpQfEItzoQQdndsJVpi7peEevuanSvIusI+gJrPo2EfWIHdPaNjdk/3bIW/xs5TR+16eOTor9ePMadC0WHQtB1aKqw35vInWSGjr8UaGrWhxBoutbUKWnf0PEf+/tabdznjYPULULEUzLBVybjf2bDhTVj7mrVv0eGw31nWtewuq5py2ZPQ0Wjtm5RrhZN2l1XZmTrIOiYcAE+DdY/FR5Hlb+fH8RmwYha4kshr2MIzY66gNeznwOoSqN3Gienjeafxc85PHUvmqpcpjMtku7eeqUnFjGuqjnR/kj2JtnAosn6skcQ7ncuTk4fyUWN0js0CdwY7fNbQvQ7DRtAMf73XW2gK1fR3F0REZE8afRLs/2NY8V/47zkwdYb1B0lLHoWQH9wpVmXf9k+tasAXL4XLZkPefv3dcxERERERkT2mXwO/e++9l8suu4zLL78cgPvuu4/Zs2fz0EMPMXPmzB77//Of/6SoqIj77rsPgLFjx7JkyRL++te/DpjAzzv7ecygDXuiHUJhQl4rsHCmuQg0RcOK+KHpdJQ2RtadKTYCLdE3fZ1JQQJt1uMxnAY2IxgNwRxhwkFbJJSyu0KRbWBVeXWv3OqqOIusZ/u6BXomcRmBSIhkd4WxucKRa7vTAgQ7bJEqsx4B2aCOmOE3U4o6YobXTC1up7kksdu6JyboSh/VRmO38Cx9ZHvMeuaYNmpXR0Ov9BGemGrC9OGemO0Zo9upWpIWXR/TRsUnGdH1ke14qqOvRdowD54aF2bICucScn0EOmz4Gq3XIy4tgN0djrw+7rQAcZnRsMuwmdE+dYaK8RkB4jMDkevEpQdwdwvI7O4Qidk+DJsZeYZxGX4MmxkJYePSArhSgpFnDRCf5cewmzRtTew8prOqLi0QCfwS83yRCrou8Vl+gt2qN90pVriXPMhL7SrrtUvI8keO75I82KpISszxY9jDmCEbKUM8ANicZuTZZY5rjUxtlzWulYDHjs1u4k4Ldr5GMOT4WlrL40kpjFY52RwmxdPr2JW49OAu22WAWv+G9dHd8qe+3jkqV8QGll02z7U+utu2wPrYlXl37bq9c8jYiFWzdrnbyJ3WZwKXuZyMLrkPA7jX5eS1pEQuL3uX9BVzOCYni40uF2cvfZGlcW5eybKGmv3eB3/DGDIY0zA4aMsCPsqIDmtrtNWA0/oZO8jvo8ypue2+rvQd/wF+0t/dEBGRPenkv1p/7LP1Q3i/W6X3yBPg1L9Zf+ATCsDTZ0DJfHjmXPjpfGtkgi6eBms49bJPrNEKvvc7KN796DIiIiIiIiLfJbYv36Vv+P1+li5dyvTp02Pap0+fzoIFu34jd+HChT32P+GEE1iyZAmBQGCXx+xptXM+BsA/rhgKosFU28EH4kiJVitt//75Mcc5p+ZGlsPpKaQO9UTWQ0PzSSqIBjEpQztIyI6uZ09qxeaMhoXZ+7XGnvvQ/MiyYTcJHzomujEnKSaEic/yk5Tvi1m3F0QDPGdhHO7U6GudNsyDzRG9dubY2GtnT4xdzxjVFrOeOabbus0krTh633ZXiJSijpj1tGHRiibDEY7ZbthMkgd7o6dzhkkeFF0HK7C0x0UDsYRsf2ToSYDEXF/MMcmFHSR0G24yPstPQk709XEmBXHEhWMr49IDJOVHz5E0yBvTr8Q8H4bdOlf3tqRu100p8mIYRIautLtDuFOCMedJG2rde/pI6zUx7CaJuT4MG2RNaOm8dgc2O7iSQ5EquozR1mvuTg2SNKgDV3KQ7EnW/u6UIPmHNJKY7yV9RDTcG3ZSLdkTW8gcHX39cye1UHRsXczXm91tMviIRgoOa4pU8gE43Cbpwz3YXfve3HH7ivL86bQnDI6stycMpil1LE0po/qxV9+eAxjjD9D15TzGH+A3DU1khsPYgPtr6phdvoPiQJAzWtv5dX0j/6+qhjjT5JGqGq5vaORHLW38o7oWp2lyZ20dv26w/tjj9NY2rm5sBuCYdg/HtVvfc6e1Rr/PJnqjP29yggrCu/wupR1fyPflO4qIyN7DlQA/fhFOuhuGHwcTzoTzX4DzZ1lhH4DdCec8CZkjrXDwxUvB1/n7Ru0G+Nex1h8lNWyF7YvgidOiIwh019Fkze286nkI6t8bERERERH5bui3Cr+6ujpCoRC5ubkx7bm5uVRVVe3ymKqqql3uHwwGqaurIz8/v8cxPp8Pny/6S1pLixVsBAKBXg8JTZ+XwOZmwOCRuAkUZ1Ry4tZPaU+N4wrHdGYUNjH58/UAXFRWxPsZfrwNLpaOGsVnrnH8jFcBeD19Iu0Fh3HR1rcJeuw8lzSOGxPX0FxqVcZljW/FU+2OzCGXWtTB/NBERi3bhumC/+ScROsIN2dtnk9Hupv/c/6Qa5NeJre9kdKx+dwRPot/2e6GMNw6/GxuSnmOuJVWkLRxfBET/CWwCfxuB6HRDv5VcSwXMxtfipNrsy/huo6XyF3dQH1iMsXZNayYOJKJy7bgSAiyPqWIjiEO0srasKeF+J/rcA7OXUt7dRyfjhqLI9Vg9bBi9tu6ldLBeSx3jeGw9FX4Gl20jU/EnVZJ5ZBM8svqWVM0jM/jhzMxZRP+FifJk704E8PUZaaSVd/MqyOP4qbk5yOVZp6RcbzjPJhDJ6ylbm0SC4ZOYKRRjX+ii7gNXloHJfCX8Hlcc/ArbFuSRWqmh7vs5zHpgM2M/GAbRrw1pOXNXMBl614n5LKTlOcjHDZoS4ynOS6ReaMO4Kr4N8ma0ELdmhRWjB3Fz32/ZOTobfyy9AVSh3qwO01ShnRQui6HjZmFvJR5DL9wvkLG6Daay+LJntBKo5nEX/c7j7MXvc+CkRP4obGQUanlZIxuwzQhdZj1xn/4EDsfbD+AdalDmOffn4m2Ek497BPGNpeR2hmOJhf4KDq2DsNuRgK17AltpBR14EwI4zft+HFSe0AaqaPaWZQwnpSQhyB2/Ic7yKGRj5jIiHAFLiNI3rBG0obFzjfmSgqRNS42rA3a7HyaNY7VoWG8EjqCOAJkG01c63iVQ23rY/b1mQ7uDp7LZrOADjOOf7nuIcWIhrufhUfzM//13Op8gtPsiyLtL4Wm8kboMO50Pkq+YQ2B+JfAuaQabVxof5cEw8f80H5sMQs40raGkbYKPgmNx0McY21lDDbquDPwI06zL2Q/Wyn1ZjJPhaZxveNlAH4duJK7nY+wOjyUAqOeGjOdoUYVb4YP43jbUhrNJD4IH8Cljne4K3Aev3E+x5rwULab2ZxkX8ztgQv5vfMpXg0dTp7RyGG2ddwXPIPrHS/jNZ3cEzybW5zP8HroMDJp4XD7Wm4LXMhvHM8RZwT4pf9n/M31EAA/8f+au50Pk2W0cJ7/dzznugOf6eAs/638w3k/xbZqfhu4DBOY6XyURjOJC/038YLrduINP38NnM2c8GTmuH8DwGX+X7HBLOR/rt+RYbTxWPAEbg9eyCm2T3nAdT8Avwv8hKdD0xhjbOMO53+YbNvI2vAQbgtcxKem9YcBBxqbOMy2jmKjkmSjgyB2Ks0MloRHsyw8klpSAQNKdvqB6GWXbIRJwEsq7aQbrZgYtBNHjZmOB6vC1UGQPKOROHxUmxm0koAbP+OMMmyE2WwOopkkXAQwMQjgIJcG0o02Ssw8AjgwMAljMMyopNFMppEkDMBBiCyaqSQDJyH8OHHjx4eTVNpp6ZxjNY02OnATwk6w829jkumgnThC2EnAiwc38fjowE0SHXhxYfOa+HGQQjttXutcdxHC0RGio8HFDQSJx4enrY0XA0m8aZp0tPiYHUwkzvDgT13H683jCSSUYyaWsqrmSEKZn2KGkmlsG4RZ8DbOukPxJ+zA5mwm3DoOo+Bl7PVTCKUvxwgkYwQTCSeWEm7eH3v6EmyN+xNKWYfNn0HYXYPZUYgtsRQAM+wA04FBGOx+TNPAMAZ+MB/fvh+2sK3X/x0fKH88JCIiu2F3wqFXWh+7E58OZ/4bHjsJSuZZn4ccDkseg5AP0obACXfC56/Amhfh5SshZRAMnmwdX73Wqg5s3matz/sLXPgyJHb7XdPfDiufs4YfH/cDSMrpu3sWERERERH5igzTNPvlnb0dO3YwaNAgFixYwJQpUyLtf/rTn3jqqadYv359j2NGjRrFT37yE26++eZI2yeffMKRRx5JZWUleXl5PY659dZbue2223q0P/PMMyQkJPRo/zZcrfVkznqE5Npmbjj1T4RsDlI7mmmJT8E0bNiDAa5Y8SRrcsfwceERHNWxgOHeUh5POw/TsDGyehP7b13F6wedjNcVT3KoFbsnQFNSOtND88jdVMkHOVPJSG9hXHAjdeuTqUnLJjTYxVpGsn/pKhqSMijLGQJAansTPqcbryueOH8H9nCI9jhruMzimhLCGJTlDMVmhhhTsZHm+BR2ZORjACN3bKYyPY+WhBQMM8zg+goq0/MI2q2h51wBPwFH55vqhp2RlZsYFreNj9MOwxnwc9Wax3h1xMlsSR7GiW0fsL05jxWDJoJhYJhhiqtL2ZGRj+k0OKvpDXbUZvPp8Mkcygo+MSaTV19NZXo+TnuAI1s/Zb1/GJ7MJEaES/ncN5JxFetZPPwgRlFCUbic9Y3D2JGRT9DuJN+swm6GKTfyyaKBVhIBo/ONezsjzFJKjULi8NFGAnZCpPqaMewGmfZGNtqGk9lST8Dh4CD3GuqNdFYbYzANG4YZZoRZSrmRzwEdq1gUfzBhwwoDisIVhDGIw0e7EU8lneF0Z6nbkHA5480NzLVNxUkQjxH79ZditrJfeD1lxiCGmOV8YjsYOyFCxq5z+XSziTA2RoW3UmVkM9rcwnpjBIPNSjbZikkx26gxMvHjJGC4dnmOnRlmGAch4vHixU2RWUGTkUKRuYN24gl0hiMlRiEm4DPidnmeBNNDIh5yzHrKjTzaSSTY7T5sZog4fIwyt7LKGEcYI/I6JZutDDarWG8MxzSiRciZZgNu088Om/V9nmi2k2PWU2Kz5vt0mz6GmOVsNIaBYWAzQxSZOygzrL/4NrtdI81sxk6IeiODBNMT+yxMEwyDeLODMDYCOMmlhkpySaeZdhIIYieNFhqMdNLNJppIwcTARpiw0W2+RCDJbKedeAzASQCf4Y681qZhi1yv6x6C2AkZDgwzjJMg/s5nZzND0XN3O2aX67JPsaJNG2HDh2HaMA0T0/BhCycStDfgCGUCQay/8bE+Bx01GKYDw3RjmNbPdcO0EbZ5AYOQvQlbOJ6gvbHz+BC2cDKm4SXoaCRsdGBgfT2GDS/OYC4+11ZsZhyOYBamEcQ0AgQdtYRtHmyhpM5ruHCE0jCNECFbKwZ2QrZWwjZP5/nC2EIp2MIJGBgEnNXYQomRYwPOHcT5RjHEPpIzhvb+a+nxeDj//PNpbm4mJSXlyw/Yx7W0tJCamtpnr1cgEOCtt97i5JNPxqmhb/uFnsHAoOfwDZUvgf+eDR0N0bbhx8EPH4akbAiH4LnzYeM7kJAFl7wJTWXw4mXgb7XawkHwNkHWKAIXvsFbHy7i5ENG4nzuHGt+ZICkPLj4dcjuHNWgfgu8dxvUrLOqEI+cAY7O/4sHvNZQ5aGANQeyo9v/0YN+63qu3v0ddW+j74eB4cueQ1//H2Fvov9P7Rv0HAYGPYeBQc+h/+kZDAx99f+pfqvwy8rKwm6396jmq6mp6VHF1yUvL2+X+zscDjIzM3d5zM0338yMGTMi6y0tLRQWFjJ9+vS++c/UGecxd+5cXpg2bTffMKdxCmDV4JwIwBmRbdb6Rbs880kAnPOFVz/la/a2t46Frr5fG1n/EUdElr//Jcee3m35TGb02H5Gj5Y959wv2PbDb3TGn32zjoj0qkAgwNy5c5m2259VIgNTX37tdo0CsC958MEHufvuu6msrGT8+PHcd999TJ2q+axEZC8weDJcNsea37e9Dvb/Mex3VvSPpGx2OPNRqwKwahU8eGj02CFHwrlPQcADj06Huo3YZ51HsW0cjid+boWASbmAAW1V8PgpcMkbVuXfM+dAe611ng9nQtVqOPsJaK+BJ0+Hug2d1zgCzvuvVZG45iV4/ZcQaIeDr4Dpf7SqGbcvtsJDRxwcfyvkTbCO/fwVKFsIY0+LzkFYtwlKP4KiwyGncwoHT4N1b4Mmg7tznnRfq/WRUhC936Dfup7+gExERERE5Dut3wI/l8vFQQcdxNy5c/nhD6PBydy5c/nBD36wy2OmTJnC66+/HtM2Z84cJk+evNs3/dxuN263u0e70+ns0ze5+/r8IiK9QT+r5LuqL75297XvhVmzZnH99dfz4IMPcsQRR/Dwww9z0kknsXbtWoqKivq7eyIi317WSGt4z91xJ1nzAr52jVV5Z9hh8qXWkJ8OF5ABF7wE/zkR245lTGSZddzgg+FHzwEGPPl9qF4D/zzSqho0Q5C3H4z9Psy/G9a/Ac+eC/WbobEUXMkQ7ICyT+Dps2DoEfDJP4DOgXc+fcgKB0dOh9d/AcHOcdK3LbRCyA1vw2ePWG2fPQyn/g0Sc+CFSyAcsO7hhw9DWqE1NKm3CZLz4ccvQMsOeOly8LXAgRfDiTPhrV/Div9C7n5w1n/A2wyv/xwCHXDin6HoUPjfz6FuIxz1axh9Esz5HdSshynXwPBj4cM/W/MiTrkW8ifB+3dY/T7qBmsOxaWPW/05+AprmNWS+TD+dMgZD5/+06pqPPBi63XcOg/Gfd+qsFzzImSOgKFTYcv71r2MOIkEXy3G2ldg9InWHIsVS2DwIeBwQ+nHULA/JGRC+WLIGGYt71gBmcPBnWKFoNljrNC3dj1kjbYCz/rN1vyP4YD1WmUUQ1uNtS0uDRpLILXQeu7+Vius9XusoNQZb1Vw2l3Wswz6rPvytYIzwTom5LP2C4fAsFnHhcNg6zbqh2lalZ52p7WfbTcjfIiIiIiI7EK/BX4AM2bM4MILL2Ty5MlMmTKFRx55hG3btnHVVVcBVnVeRUUFTz75JABXXXUVDzzwADNmzOCKK65g4cKFPProozz77LP9eRsiIiIi3zn33nsvl112GZdffjkA9913H7Nnz+ahhx5i5syZ/dw7EZE9JDkXLngR2mrBldhzSM2csXD5u4Tf+S2e7auIn3AK9hP/ZAU3YA3n+dTpULnSWh92rBXMuZMhdzzMuhA2v2ttSx9q7e9thsdOsYKqiiXWtsm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|
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"text/plain": [
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"<Figure size 1800x500 with 3 Axes>"
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|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
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|
}
|
|
],
|
|
"source": [
|
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"n = 3\n",
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"\n",
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"initial_occ=np.array([n-1,1])\n",
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"\n",
|
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"#maximum energy scale for ramp\n",
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"#assuming that staying below 25% of the 1st excited state is enough\n",
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"#and the contact scattering length can be tuned from 0 to 3.5* 85a0\n",
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"limits = np.array([E_exc[0]/10,\n",
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" E_barr[0]/10,\n",
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" U_s[0]*3.5 + np.max(U_dds)])\n",
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"E_max = np.min(limits)/const.hbar\n",
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"\n",
|
|
"# --- Parameters ---\n",
|
|
"J_freq = J[0]/const.hbar # Hopping amplitude\n",
|
|
"U = (E_max/n, E_max/n) # On-site interaction strength\n",
|
|
"\n",
|
|
"mu = 0.0 # Chemical potential (set to zero for simplicity)\n",
|
|
"V = V_lrs[0,np.argmin(np.abs(V_lrs))]/const.hbar # nearest neighbour interaction energy (due to DDI)\n",
|
|
"DeltaJ = DeltaJs[0,np.argmin(np.abs(V_lrs))]/const.hbar # density induced tunneling\n",
|
|
"# V = V_lrs.max()/const.hbar # nearest neighbour interaction energy (due to DDI)\n",
|
|
"# DeltaJ = DeltaJs.max()/const.hbar # density induced tunneling\n",
|
|
"\n",
|
|
"Delta = ((n-2)*U[0]- (n-2)*V, n*U[0]) #tilt\n",
|
|
"\n",
|
|
"tau = 2*np.pi/J_freq *10 #take 10 times the time scale set by J for evolution\n",
|
|
"N_steps = int(1e3) #number of timesteps\n",
|
|
"\n",
|
|
"print(f\"d: {distance[0]/si.nm:.2f} nm\")\n",
|
|
"print(f\"omega_x: {frequencies[0]/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"J: {J_freq/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"limits set by: 1st excited state = {limits[0]/const.h:.2f} Hz, barrier = {limits[1]/const.h:.2f} Hz, interactions = {limits[2]/const.h:.2f} Hz\")\n",
|
|
"print(f\"=> max. tilt/interaction: {E_max/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"J/U = {J_freq/U[0]:.4f}\")\n",
|
|
"print(f\"V: {V/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"DeltaJ: {DeltaJ/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"ramp time: {tau/si.ms:.3f} ms\")\n",
|
|
"\n",
|
|
"tlist, result = solve_hub(J_freq,U,Delta, mu,V,DeltaJ,tau,N_steps=N_steps,\n",
|
|
" initial_occ=initial_occ)\n",
|
|
"\n",
|
|
"d= n + 1\n",
|
|
"\n",
|
|
"# --- Extracting and Plotting State Vector Components ---\n",
|
|
"# Create an array of states; each state is flattened into a 1D array of length d^2\n",
|
|
"states = np.array([state.full().flatten() for state in result.states])\n",
|
|
"# Compute probabilities: squared magnitude of each component\n",
|
|
"probs = np.abs(states)**2\n",
|
|
"\n",
|
|
"# Create labels for each basis state in the two-site Fock space\n",
|
|
"basis_labels = [f\"|{n0},{n1}>\" for n0 in range(d) for n1 in range(d)]\n",
|
|
"# Create a list of corresponding total particle numbers for each basis state\n",
|
|
"total_particles = [n0 + n1 for n0 in range(d) for n1 in range(d)]\n",
|
|
"\n",
|
|
"# Filter indices for basis states with exactly 2 particles\n",
|
|
"indices_2particles = [idx for idx, tot in enumerate(total_particles) if tot == np.sum(initial_occ)]\n",
|
|
"labels_2particles = [basis_labels[idx] for idx in indices_2particles]\n",
|
|
"\n",
|
|
"#fidelity as the probability for |2,0> in the last 10% of steps\n",
|
|
"#calculate fidelity\n",
|
|
"fid = np.mean(probs[int(0.9*len(tlist)):,indices_2particles[-1]])\n",
|
|
"print(f\"fidelity: {fid:.5f}\")\n",
|
|
"\n",
|
|
"#alternatively with ratio Delta/U\n",
|
|
"interactions = np.linspace(U[0],U[1],len(tlist))\n",
|
|
"tilt = np.linspace(Delta[0],Delta[1],len(tlist))\n",
|
|
"ratio = tilt/interactions\n",
|
|
"\n",
|
|
"fig, axs = plt.subplots(1, 3, figsize=(18, 5))\n",
|
|
"\n",
|
|
"# --- Plot 1: Probability of 2-particle basis states ---\n",
|
|
"for idx, label in zip(indices_2particles, labels_2particles):\n",
|
|
" axs[0].plot(ratio[:int(1*len(tlist))], probs[:, idx][:int(1*len(tlist))], label=label)\n",
|
|
"axs[0].set_xscale(\"log\")\n",
|
|
"axs[0].set_xlabel(r'$\\Delta /U$ []')\n",
|
|
"axs[0].set_ylabel('Probability')\n",
|
|
"axs[0].set_title(f'{n}-Particle Basis State Probabilities')\n",
|
|
"axs[0].legend()\n",
|
|
"axs[0].grid(which=\"both\")\n",
|
|
"\n",
|
|
"# --- Plot 2: Occupation number vs time ---\n",
|
|
"axs[1].plot(tlist, result.expect[0], label='Site 0')\n",
|
|
"axs[1].plot(tlist, result.expect[1], label='Site 1')\n",
|
|
"axs[1].set_ylim(-0.2,6.2)\n",
|
|
"axs[1].set_xlabel('Time [s]')\n",
|
|
"axs[1].set_ylabel('Occupation number')\n",
|
|
"axs[1].set_title('Occupation Number Over Time')\n",
|
|
"axs[1].legend()\n",
|
|
"axs[1].grid(True)\n",
|
|
"\n",
|
|
"# --- Plot 3: Energies vs time ---\n",
|
|
"axs[2].plot(tlist, np.linspace(Delta[0]/2/np.pi, Delta[1]/2/np.pi, N_steps), label=\"tilt\")\n",
|
|
"\n",
|
|
"axs[2].plot(tlist, ((3*U[0] - 1*U[0])/2/np.pi +V*(3*0 - 2*1)/2/np.pi)*np.ones(N_steps), label=\"transition |21> -> |30>\")\n",
|
|
"\n",
|
|
"axs[2].set_ylim(bottom=0)\n",
|
|
"axs[2].set_xlabel('Time [s]')\n",
|
|
"axs[2].set_ylabel('energy/h [Hz]')\n",
|
|
"axs[2].set_title('parameter ramping')\n",
|
|
"axs[2].legend()\n",
|
|
"axs[2].grid(True)\n",
|
|
"\n",
|
|
"plt.tight_layout()\n",
|
|
"plt.show()\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## N=4"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 54,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"d: 745.43 nm\n",
|
|
"omega_x: 50000.00 Hz\n",
|
|
"J: 10.33 Hz\n",
|
|
"limits set by: 1st excited state = 687.56 Hz, barrier = 4053.51 Hz, interactions = 4310.78 Hz\n",
|
|
"=> max. tilt/interaction: 687.56 Hz\n",
|
|
"J/U = 0.0601\n",
|
|
"V: -0.17 Hz\n",
|
|
"DeltaJ: -0.55 Hz\n",
|
|
"ramp time: 968.363 ms\n",
|
|
"fidelity: 0.97971\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
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T+ADZ7du30aZNG4waNQrOzs64d+8eli5divbt2+PSpUt2N6oPGjQIw4cPx5gxY7B//34sWrQIOp0OBw4cwPjx4zF58mT88MMPmDp1KqpXr45+/foBKPs1nYiICLzwwgvo3LkzX7LSyckJQPl/S4tfS6xRo0ap7/mOHTtw9OhRzJ49Gz4+Pvz5RFnOZy0uXryI6dOnY+bMmXB2dsa8efPQr18/TJ8+HQcPHsQnn3wCjuMwdepU9O7dG3fv3hVcY9PpdOjZsye/n44fP44FCxYgMjKyTMMCzZgxA+3atcN3332HrKwsTJ06FX369MG1a9cgFosBADNnzsTChQvx1ltvoV+/foiOjsaoUaOg0+kq7DyXkKcaI+QZ079/f9a2bVtmNBoZY4yFhYUxtVpd5vkt7XU6HdPpdCw5OZmtWLGCcRzHWrRo4XAevV7PdDode/HFF1nfvn356Xfv3mUAWLVq1VhRUZFgntOnTzMAbO3atXbLmzNnDrP9eN65c4eJxWI2bNiw+/Y9ODiYfx4REcEAsCVLlgjaRUdHM6VSyaZMmVLq8tauXcsA2P2Ty+Vs1apVpc5rMBiYTqdj8+fPZ+7u7vz++PXXXxkAduHChVLnB8DmzJnDP69fvz579dVXS53HkYKCAvbqq6/yfReLxaxJkyZs5syZLCkpSdC2V69egvevvNvGGGP16tVjoaGhdvMsXLiQiUQidvr0acF0y/vxxx9/lLrOsh6XwcHBTCwWs+vXrwvmHzx4MJPL5SwqKkowvUePHkylUrGMjAzGGGN//fUXA8CaNm0q2K579+4xqVTKRo0aVWIf9Xo9y8nJYWq1mq1YsYKfbjmObD8bjDH2zz//MABswYIFgu0svg+Cg4NZWFgY/9zyubL97CxevJgBYHfv3rXrV2hoqGCfbNmyhQFgW7duFbSzfCYtx3ZZj1VCCCGMJSQkMABs8ODBpbZ77bXXGACWmJjIGGPshRdeYC4uLna/ybZGjhzJpFIpu3r1aoltLL81xX8HLL9rf/31Fz8tNDSUAWC//faboO3o0aOZSCRikZGRDtfxIL//jn6zWrduzby8vFh2djY/Ta/Xs/r167OAgAB+uZZtGj9+vGCZixYtYgBYfHx8ie8HY9bzyeTkZJaSksKcnZ1Z//79+deDg4NZr169+OeO3quStiEsLMzut1Sn0zFPT08GgJ07d46fnpqaysRiMZs0aRI/raznBrm5uczNzY316dNH0M5gMLBGjRqxli1b2m3v7NmzS31fLBQKBWvdunWpbaZOncoAsJMnTzLGGFu5ciUDIDjPSktLY3K5nL3//vv8tG7durGAgACWmZkpWN4777zDFAoFS0tLY4xZ3/OOHTuWqc+2LPP+8ssvJb5muy8fdp+NGTOGaTQau8/H559/zgCwK1eulHsbCCGEPHssv8fvvfeeYPrmzZsZALZp0yaH8xmNRqbT6diRI0cYAHbx4kX+Nctv2Pfff1/qui3LiIyMtDvXs/Sr+PWxxo0bMwBs27Zt/DTL72O/fv34aeW5pqNWqwXXMCzK+lta2rXEkgBgzs7O/DlGSUo7nw0ODmZKpZLFxMTw0y5cuMAAMF9fX5abm8tP37FjBwPAdu7cyU+z7Cfb60GMMfbxxx8zAOzYsWOCddm+R5Zzl549ewrm/fnnnxkAFhERwRiznne99tprgnaW65+OzscJed5QSU/yTNm6dSt27dqFb7/9ttRsKaPRCL1ez/8rXr4pNzcXUqkUUqkUnp6emDhxInr06CHI/Pr666/RtGlTKBQKSCQSSKVSHDx4ENeuXbNb38svv2x3V1F57N+/HwaDAW+//Xa55vv999/BcRyGDx8u2F4fHx80atTIrmRTSTZs2IDTp0/j9OnT2LNnD8LCwvD2228L7oAHTOUPX3rpJTg7O0MsFkMqlWL27NlITU1FUlISAKBx48aQyWR46623sH79+jKXFm3ZsiX27NmDadOm4fDhw8jPzy/TfHK5HNu3b8fVq1exbNkyDB48GMnJyfj4449Rp04du9IAJSnLtpXm999/R/369dG4cWPBvujWrZvD8lmOlOW4BICGDRva3dV06NAhvPjiiwgMDBRMDw8PR15eHiIiIgTThw4dKvgMBQcHo23btoISEjk5OfxdbxKJBBKJBBqNBrm5uQ4/B8OGDRM8b9u2LYKDg0stS/Eo/P7773BxcUGfPn0E+6Jx48bw8fHh98WDHquEEEJKxsylgziOQ15eHo4cOYJBgwYJMtWL27NnDzp37ow6depUWD+0Wi1efvllwbShQ4fCaDTi77//5qc97O9/cbm5uTh58iQGDBggKDcuFovx+uuvIyYmxu7cpHg/GzZsCAD3rfJgy93dHVOnTsXWrVtx8uTJcvfbEY7j+Iw2wFS2tXr16vD19RWMy+Lm5gYvLy+H/b3fucHx48eRlpaGsLAwwW+20WhE9+7dcfr0abssvv79+1fI9gHC49XSX7lcLihvumXLFhQWFuKNN94AYCqLfvDgQfTt2xcqlUrQ7549e6KgoAAnTpx4ZH0uzcPss99//x2dO3eGn5+fYJt69OgBwJS5SgghhFgU/40fNGgQJBKJ4O//O3fuYOjQofDx8eHPs0JDQwHA4TUFR7+XSUlJGDt2LAIDA/lrc8HBwSUuo3fv3oLnderUAcdx/O8ZYP19LP47+LDXdMr7W1rea4kvvPACXF1d7aaX53y2cePG8Pf3559bzr87deokqHJkmV6W8ztLdbCyXPu533nviRMnUFhYiEGDBgnatW7d+r7DwxDyvKCAH3lm5OTk4O2338a7774LPz8/ZGRkICMjA0VFRQCAjIwM/oLA/Pnz+cCJVCq1G99DqVTyAa5///0XGRkZ2L17N/+jt3TpUowbNw6tWrXC1q1bceLECZw+fRrdu3d3GIiylBh8UJY65+UtUZqYmAjGGLy9vQXbK5VKceLECbua5iWpU6cOmjdvjubNm6N79+745ptv0LVrV0yZMgUZGRkAgFOnTqFr164AgG+//Rb//PMPTp8+jZkzZwIA/75Uq1YNBw4cgJeXF95++21Uq1YN1apVw4oVK0rtw8qVKzF16lTs2LEDnTt3hpubG1599VXcvHmzzNswceJEbNq0CVFRUVi6dClSU1P5EgulKeu2lSYxMRH//vuv3X7QarVgjJVpX9zvuLRwdLylpqY6nO7n58e/bsvHx8eurY+Pj6Dd0KFD8eWXX2LUqFHYt28fTp06hdOnT8PT09Phe1KWZT4OiYmJyMjI4MehtP2XkJDA74sHPVYJIeR55OHhAZVKhbt375ba7t69e1CpVHBzc0N6ejoMBsN9z2+Sk5MrtEw7AIdlQC2/U5bfpYr4/S8uPT0djLFy/Sa7u7sLnlvKhZZ3/RMnToSfn59dGe8HpVKpoFAoBNNkMhnc3Nzs2spkMhQUFNhNv9+5gWWMxgEDBtj9Zn/22WdgjPGl9i3Ket4dFBRUpuMVAH/DlJubG15++WVs2LCBv2Fw3bp1aNmyJerVqwfAtP/0ej2++OILuz5bgm3Fz/se9m+FsnqYfZaYmIhdu3bZbZNlu8v6dwUhhJDnQ/HfeIlEAnd3d/43PicnBx06dMDJkyexYMECHD58GKdPn8a2bdsA2J/nqFQqvjSmhdFoRNeuXbFt2zZMmTIFBw8exKlTp/gbaxydKxX/zZPJZCX+Phb/HXzYazrl/S0t7/mBo/blPZ919P6UNr34+Z1lP9sqfo5dmvud91qW4ehc/kHK/BPyLKIx/MgzIyUlBYmJiViyZAmWLFli97qrqyteeeUV7NixA2+99Zbgrp7i46yIRCI0b968xHVt2rQJnTp1wurVqwXTs7OzHbZ/kLHZbFnueo+JibHL0CqNh4cHOI7D0aNHHY4lU9r4MvfTsGFD7Nu3Dzdu3EDLli3x448/QiqV4vfffxecKO3YscNu3g4dOqBDhw4wGAw4c+YMvvjiC0ycOBHe3t4YPHiww/Wp1WrMmzcP8+bNQ2JiIp/t16dPH/z333/l6jvHcXjvvfcwf/58XL58+b7ty7NtJfHw8IBSqcT3339f4uv3c7/j0sLR8ebu7o74+Hi76XFxcQ7Xn5CQYNc2ISGBP/nKzMzE77//jjlz5mDatGl8m8LCQrsLb/dbZvXq1UvZmorn4eEBd3d37N271+HrWq2Wf/wgxyohhDyPxGIxOnfujL179yImJsZhgC4mJgZnz55Fjx49IBaL4ebmBrFYjJiYmFKX7enped82lt/nwsJCwfSSLr5YAkm2LL9Tlt+6ivj9L87V1RUikahcv8kVRalUYu7cuXjrrbewe/duu9fL+x5WhPudG1jeiy+++KLEsfaKX9wp63l3ly5d8NVXX+HEiRMOl52Xl4f9+/ejfv36gouWb7zxBn755Rfs378fQUFBOH36tOBvAldXVz5js6TqHFWqVHmgPlcmDw8PNGzYEB9//LHD1y0Ba0IIIQQw/Z7b3pys1+uRmprKn2cdOnQIcXFxOHz4MJ/VB4C/qbw4R7+Vly9fxsWLF7Fu3TqEhYXx02/dulVBW2FVEdd0yvtbWt7zA0ftH8X5bGmK72fA/hz7YViWUdK5PGX5EUIBP/IM8fHxcZge/umnn+LIkSPYs2cP/wPs5+f3UH+UchxnFyz7999/ERERUeaAXHnuzu7atSvEYjFWr16NNm3alLmfvXv3xqefforY2Fi7dPeHdeHCBQDWYCTHcZBIJPwguoBp2zZu3FjiMsRiMVq1aoXatWtj8+bNOHfuXJmCKN7e3ggPD8fFixexfPly5OXlCUoL2IqPj3d4l1NcXByysrLQrFkzfppcLne4P8qzbSUto3fv3vjkk0/g7u5ud5HncXjxxRexfft2xMXFCY79DRs2QKVS2V3o2rJlCyZNmsSfMEZGRuL48eMYMWIEANN7whiz+xx89913diVyLTZv3iwowXH8+HFERkZi1KhRD7195fk89e7dGz/++CMMBgNatWpVpuU/6LFKCCHPk+nTp2PPnj0YP348tm/fLvjdNBgMGDduHBhjmD59OgBTACo0NBS//PILPv744xIvlPTo0QMbN27E9evXUatWLYdtLH/c//vvv4I2O3fudNg+OzsbO3fuFJQN+uGHHyASidCxY0cAFfP7X5xarUarVq2wbds2fP7551AqlQBMd6hv2rQJAQEBdmW5K9LIkSOxbNkyTJs2DUajUfCa7XvYrVs3fnpJ72FFuN+5Qbt27eDi4oKrV6/inXfeqdB1v/fee/j+++/x7rvv4vDhw1Cr1YLXJ0+ejPT0dLsb/Lp27Qp/f3+sXbsWQUFBUCgUGDJkCP+6SqVC586dcf78eTRs2JC/A/5p17t3b/zxxx+oVq2aw3JhhBBCiK3NmzcLrrf8/PPP0Ov16NSpEwBrcKr4NYVvvvmmzOuoiGWUVXmu6ZR2Xehx/5Y+yLW6h7V582ZMmDCBf/7DDz8AAL/vH0arVq0gl8vx008/oV+/fvz0EydOIDIykgJ+hIACfuQZolAoHP54rFu3DmKxuEJ+WCx69+6Njz76CHPmzEFoaCiuX7+O+fPno0qVKtDr9WVaRrVq1aBUKrF582bUqVMHGo2mxEBkSEgIZsyYgY8++gj5+fkYMmQInJ2dcfXqVaSkpGDevHkO19GuXTu89dZbeOONN3DmzBl07NgRarUa8fHxOHbsGBo0aIBx48bdt6+XL1/mtys1NRXbtm3D/v370bdvX/5Ep1evXli6dCmGDh2Kt956C6mpqfj888/tTry+/vprHDp0CL169UJQUBAKCgr4O6ReeumlEvvQqlUr9O7dGw0bNoSrqyuuXbuGjRs3ok2bNiUG+wDgrbfeQkZGBvr374/69etDLBbjv//+w7JlyyASiTB16lS+bYMGDbBt2zasXr0azZo14zPqyrptlmX8+OOP+Omnn1C1alUoFAo0aNAAEydOxNatW9GxY0e89957aNiwIYxGI6KiovDnn3/i/fffL3Pw6UHMmTOHrxc/e/ZsuLm5YfPmzdi9ezcWLVoEZ2dnQfukpCT07dsXo0ePRmZmJubMmQOFQsFfpHVyckLHjh2xePFieHh4ICQkBEeOHMGaNWvg4uLisA9nzpzBqFGjMHDgQERHR2PmzJnw9/fH+PHjH3r7GjRoAABYsWIFwsLCIJVKUatWLUG2nsXgwYOxefNm9OzZE//3f/+Hli1bQiqVIiYmBn/99RdeeeUV9O3b94GPVUIIeV61a9cOy5cvx8SJE9G+fXu88847CAoKQlRUFL766iucPHkSy5cvR9u2bfl5li5divbt26NVq1aYNm0aqlevjsTEROzcuRPffPMNtFot5s+fjz179qBjx46YMWMGGjRogIyMDOzduxeTJk1C7dq10aJFC9SqVQuTJ0+GXq+Hq6srtm/fjmPHjjnsq7u7O8aNG4eoqCjUrFkTf/zxB7799luMGzcOQUFBAMp+bgOU/PvvyMKFC9GlSxd07twZkydPhkwmw6pVq3D58mVs2bLlkWZ7icVifPLJJ+jbty8A67gogOnmuZdeegkLFy6Eq6srgoODcfDgQb601qNwv3MDjUaDL774AmFhYUhLS8OAAQPg5eWF5ORkXLx4EcnJyXYBubKqVq0aNm7ciGHDhqFFixaYNGkSatWqhcTERHz//ffYs2cPJk+ejNdee00wn1gsxogRI7B06VI4OTmhX79+dudRK1asQPv27dGhQweMGzcOISEhyM7Oxq1bt7Br1y4cOnTowd6wSjR//nzs378fbdu2xYQJE1CrVi0UFBTg3r17+OOPP/D1119XeOldQgghT69t27ZBIpGgS5cuuHLlCmbNmoVGjRrxN6O3bdsWrq6uGDt2LObMmQOpVIrNmzfj4sWLZV5H7dq1Ua1aNUybNg2MMbi5uWHXrl3Yv39/hW9Pea7pNGjQAIcPH8auXbvg6+sLrVaLWrVqVcpvaXnOZyuCTCbDkiVLkJOTgxYtWuD48eNYsGABevTogfbt2z/08t3c3DBp0iT+fLVv376IiYnBvHnz4OvrC5GIRi8jBIyQZ1xYWBhTq9UV2r6wsJBNnjyZ+fv7M4VCwZo2bcp27NjBwsLCWHBwMN/u7t27DABbvHixw+Vs2bKF1a5dm0mlUgaAzZkzhzHG2Jw5c5ijj+eGDRtYixYtmEKhYBqNhjVp0oStXbtW0Hfb9Vt8//33rFWrVkytVjOlUsmqVavGRowYwc6cOVPqdq5du5YBEPxzdnZmjRs3ZkuXLmUFBQV266lVqxaTy+WsatWqbOHChWzNmjUMALt79y5jjLGIiAjWt29fFhwczORyOXN3d2ehoaFs586dgmXZvh+MMTZt2jTWvHlz5urqyi//vffeYykpKaVuw759+9jIkSNZ3bp1mbOzM5NIJMzX15f169ePRURECNqmpaWxAQMGMBcXF8ZxnGAflGXbGGPs3r17rGvXrkyr1TIAgv2Rk5PDPvzwQ1arVi0mk8mYs7Mza9CgAXvvvfdYQkJCqdtR1uM4ODiY9erVy+Frly5dYn369GHOzs5MJpOxRo0aCY4fxhj766+/GAC2ceNGNmHCBObp6cnkcjnr0KGD3fESExPD+vfvz1xdXZlWq2Xdu3dnly9fZsHBwSwsLIxvZzmO/vzzT/b6668zFxcXplQqWc+ePdnNmzfttrP4MVx8eZbPVfG+T58+nfn5+TGRSMQAsL/++osxxlhoaCgLDQ0VtNXpdOzzzz9njRo14j9PtWvXZmPGjOH7VNZjlRBCiFBERAQbMGAA8/b2ZhKJhHl5ebF+/fqx48ePO2x/9epVNnDgQObu7s5kMhkLCgpi4eHhgvOM6OhoNnLkSObj48OkUinz8/NjgwYNYomJiXybGzdusK5duzInJyfm6enJ3n33XbZ7927BbwJjpt+FevXqscOHD7PmzZszuVzOfH192YwZM5hOpxP07WF//0v6zTp69Ch74YUX+HOz1q1bs127dgnaWH4/T58+LZhu+a223SZHLOeTycnJdq+1bduWAbA7Z4iPj2cDBgxgbm5uzNnZmQ0fPpydOXPGbhtKOi+xvLfFFT8/Kc+5AWOMHTlyhPXq1Yu5ubkxqVTK/P39Wa9evdgvv/xSpu0tzZUrV1hYWBgLCAhgUqmUubm5se7du7Pdu3eXOM+NGzf4c+P9+/c7bHP37l02cuRI5u/vz6RSKfP09GRt27ZlCxYs4NtY9qXtdpRVafM6OkYedp8xxlhycjKbMGECq1KlCv9eNWvWjM2cOZPl5OSUexsIIYQ8eyy/x2fPnmV9+vRhGo2GabVaNmTIEMF5G2OMHT9+nLVp04apVCrm6enJRo0axc6dO1fm8w7GTOeRXbp0YVqtlrm6urKBAweyqKgou2tKJZ0nlOf3sazXdC5cuMDatWvHVCoVAyC4HlGW39L7XUt0BAB7++23Hb5W1vPZkq4nOVq2oz5a3st///2XderUiSmVSubm5sbGjRtnd55Q/DpPSec1js6ljUYjW7BgAQsICGAymYw1bNiQ/f7776xRo0asb9++93urCHnmcYwx9mhCiYQQQgghhBDyZOnUqRNSUlLKNI4vIYQQQggpu7lz52LevHlITk5+ZOMSkydTeHg4fv31V+Tk5Dz2dd+9exe1a9fGnDlzMGPGjMe+fkKeJFTSkxBCCCGEEEIIIYQQQgghT7SLFy9iy5YtaNu2LZycnHD9+nUsWrQITk5OePPNNyu7e4RUOgr4EUIIIYQQQgghhBBCCCHkiaZWq3HmzBmsWbMGGRkZcHZ2RqdOnfDxxx/D29u7srtHSKWjkp6EEEIIIYQQQgghhBBCCCGEPMVEld0BQgghhBBCCCGEEEIIIYQQQsiDo4AfIYQQQgghhBBCCCGEEEIIIU+x524MP6PRiLi4OGi1WnAcV9ndIYQQQsgTgjGG7Oxs+Pn5QSSie6Luh86pCCGEEOIInVOVHZ1PEUIIIcSRBz2feu4CfnFxcQgMDKzsbhBCCCHkCRUdHY2AgIDK7sYTj86pCCGEEFIaOqe6PzqfIoQQQkhpyns+9dwF/LRaLQDTG+Xk5FShy9bpdPjzzz/RtWtXSKXSCl02IeT5RN8rhAg9ys9EVlYWAgMD+XMFUrpHeU4F0Pffk4D2wZOB9sOTgfbDk4H2w5PhfvuBzqnKjs6nng+0H54MtB+eDLQfKh/tgyfDozqfeu4CfpYSCU5OTo8k4KdSqeDk5EQfFkJIhaDvFUKEHsdngsoplc2jPKcC6PvvSUD74MlA++HJQPvhyUD74clQ1v1A51T3R+dTzwfaD08G2g9PBtoPlY/2wZPhUZ1PUTF1QgghhBBCCCGEEEIIIYQQQp5iFPAjhBBCCCGEEEIIIc+NkJAQcBxn9+/tt98GADDGMHfuXPj5+UGpVKJTp064cuWKYBmFhYV499134eHhAbVajZdffhkxMTGVsTmEEEIIIQAo4EcIIYQQQgghhBBCniOnT59GfHw8/2///v0AgIEDBwIAFi1ahKVLl+LLL7/E6dOn4ePjgy5duiA7O5tfxsSJE7F9+3b8+OOPOHbsGHJyctC7d28YDIZK2SZCCCGEkOduDD9CCCGEEEIIIYQ8+wwGA3Q6XWV3gzyBPD09Bc8//fRTVKtWDaGhoWCMYfny5Zg5cyb69esHAFi/fj28vb3xww8/YMyYMcjMzMSaNWuwceNGvPTSSwCATZs2ITAwEAcOHEC3bt0qtL8PeizrdDpIJBIUFBRQILIS0X4ghBDyuFDAjxBCCCGEEEIIIc8MxhgSEhKQkZFR2V15JjHGoNVqwRir7K5UiKKiImzatAmTJk0Cx3G4c+cOEhIS0LVrV76NXC5HaGgojh8/jjFjxuDs2bPQ6XSCNn5+fqhfvz6OHz9eYsCvsLAQhYWF/POsrCwApoCQo4AeYwxJSUl8u/JijMHHxwdRUVHgOO6BlkEeHu2HJ4Plu6uoqKiyu/Jcs3zX0Q05lYf2wZPhfvvhQfcPBfwIIYQQQgghhBDyzLAE+7y8vKBSqegCewVijCEnJweFhYVISkpCQEBAZXfpoe3YsQMZGRkIDw8HYDp+AMDb21vQztvbG5GRkXwbmUwGV1dXuzaW+R1ZuHAh5s2bZzf9zz//hEqlspuu1Wrh6uoKDw8PyGQyOpYJeUCMMRQVFaGoqAgnT54UlOcllcNSSplUHtoHT4aS9kNeXt4DLY8CfoQQQgghz6HY2FhMnToVe/bsQX5+PmrWrIk1a9agWbNmld01Qggh5IEZDAY+2Ofu7l7Z3XkmyeVyFBQUICsrCwaDAWKxuLK79FDWrFmDHj16wM/PTzC9eHCNMXbfgNv92kyfPh2TJk3in2dlZSEwMBBdu3aFk5OToK3BYMCdO3fg6en5wMcyYwzZ2dnQarUULKxEtB+eDJasZJlMhrZt2z71311PK51Oh/3796NLly6QSqWV3Z3nEu2DJ8P99sODZvdTwI8QQggh5DmTnp6Odu3aoXPnztizZw+8vLxw+/ZtuLi4VHbXCCGEkIdiKX/kKFuKVByZTAbA9H4/zRfNIyMjceDAAWzbto2f5uPjA8CUxefr68tPT0pK4rP+fHx8UFRUhPT0dEGWX1JSEtq2bVvi+uRyOeRyud10qVRqd7HPYDCA4zhoNBqIRKIH2j6j0QjAFLx80GWQh0f74clgNBoFmbIU6Khcjr73yONF++DJUNJ+eNB9Q78yhBBCCCHPmc8++wyBgYFYu3YtWrZsiZCQELz44ouoVq1aZXeNEEIIqRCURfNoPSvv79q1a+Hl5YVevXrx06pUqQIfHx9Bia2ioiIcOXKED+Y1a9YMUqlU0CY+Ph6XL18uNeD3IJ6V95qQJwF9ngghzzrK8COEEEIIec7s3LkT3bp1w8CBA3HkyBH4+/tj/PjxGD16dInzFBYWorCwkH9uKS+h0+keyWDfNJB45aN98GSg/fBkoP3wZCjLftDpdGCMwWg08lk1pGJZyuIxxhxm+D0tnxOj0Yi1a9ciLCwMEon18hjHcZg4cSI++eQT1KhRAzVq1MAnn3wClUqFoUOHAgCcnZ3x5ptv4v3334e7uzvc3NwwefJkNGjQAC+99FJlbRIhhBBCnnMU8COEEEIIec7cuXMHq1evxqRJkzBjxgycOnUKEyZMgFwux4gRIxzOs3DhQsybN89u+p9//vlIy6bRQOKVj/bBk4H2w5OB9sOTobT9IJFI4OPjg5ycHBQVFT3GXj1/CgoK8Pfff0Ov1wum5+XlVVKPyufAgQOIiorCyJEj7V6bMmUK8vPzMX78eKSnp6NVq1b4888/odVq+TbLli2DRCLBoEGDkJ+fjxdffBHr1q17qkucEkIIIaTsrsRlggOHun5O92/8mFDAjxBCCCHkOWM0GtG8eXN88sknAIAmTZrgypUrWL16dYkBv+nTp2PSpEn886ysLAQGBqJr165wcqr4k1saSLzy0T54MtB+eDLQfngylGU/FBQUIDo6GhqNBgqF4jH38NETi8XYunUrXn311UrrA2MMqampUCgU6Nixo937bKkC8KTr2rUrn61YHMdxmDt3LubOnVvi/AqFAl988QW++OKLR9TDZ8fhw4fRuXNnpKenw8XFBevWrcPEiRORkZFR2V0jhBBCyqVAZ8Dv/8Zj04lIXIjOwAu1vfB9eIvK7havUgN+f//9NxYvXoyzZ88iPj4e27dvv+9J65EjRzBp0iRcuXIFfn5+mDJlCsaOHft4OkwIIYQQ8gzw9fVF3bp1BdPq1KmDrVu3ljiPXC6HXC63m/6oB/qmgcQrH+2DJwPthycD7YcnQ2n7wWAwgOM4iEQiiESix9yzh5OUlIRZs2Zhz549SExMhKurKxo1aoS5c+eiTZs2AEzjxLm6ukIkEuHevXuoUqUKzp8/j8aNGz/0+letWoXFixcjPj4e9erVw/Lly9GhQwe7dpZSqRzHOdwX9BkhnTp1QuPGjbF8+XIAQNu2bREfHw9nZ2eH7efOnYsdO3bgwoULj6+ThBBCSDncTs7BDyej8OvZGGTmm8qXS8UctAoJDEYGsejJGCO0UgN+ubm5aNSoEd544w3079//vu3v3r2Lnj17YvTo0di0aRP++ecfjB8/Hp6enmWanxBCCCGEAO3atcP169cF027cuIHg4OBK6hEhhBBC+vfvD51Oh/Xr16Nq1apITEzEwYMHkZaWxrfx8fF5JOv+6aefMHHiRKxatQrt2rXDN998gx49euDq1asICgp6JOskzw+ZTPbIjl1CCCHkUdEZjPjzSiI2n4zE8dup/PQAVyWGtgrCwGaB8NTa3xhdmSo14NejRw/06NGjzO2//vprBAUF8XcI1alTB2fOnMHnn3/+RAT8mF4P55MnkRYZCc+xYyGSyUzlIQwGcBKqnkoIIYSQJ8N7772Htm3b4pNPPsGgQYNw6tQp/O9//8P//ve/yu4aIYQQUuEYY8jXGR77epVSMTiubHd7Z2Rk4NixYzh8+DBCQ0MBAMHBwWjZsqWgHcdxfHWkKlWqADCV5gaA0NBQHD58GACwdu1aLFq0CHfv3kVISAgmTJiA8ePHl7j+pUuX4s0338SoUaMAAMuXL8e+ffuwevVqLFy4sFzbTR6d8h7LRqMR+UUGSIr0D53xWtbjOTw8HEeOHMGRI0ewYsUKAKbj8Y033uBLetpat24dP060Zflr165FeHj4Q/WXEEIIeVCxGfnYcjIKP52JRnJ2IQBAxAEv1PbCsNbB6FjD84nJ6CvuqYpCRUREoGvXroJp3bp1w5o1a6DT6RyWjSgsLERhYSH/3FJLXqfTQafTVWj/dEYjPH/biTSDAdpXXoHUzw8JU6ch/0QEgn77DeJiJzWMMRRevQpZtWoQPcKxBfTJyRC7uIArR1mNwus3oIuKhKZLlzLPUxQVBYmnJ0RKZYltmMEAGI3l6gshzzPL91RFf18R8rR6lJ+J5+lz1qJFC2zfvh3Tp0/H/PnzUaVKFSxfvhzDhg2r7K4RQgghFS5fZ0Dd2fse+3qvzu8Glaxsl100Gg00Gg127NiB1q1bOyyjXdypU6fQsmVLHDhwAPXq1YNMJgMAfPvtt5gzZw6+/PJLNGnSBOfPn8fo0aOhVqsRFhZmt5yioiKcPXsW06ZNE0zv2rUrjh8/Xqb+k8ejso5loOzH84oVK3Djxg3Ur18f8+fPBwBcuXKlxPavvfYaLl++jL179+LAgQMAUGLpT0IIIeRRMRgZ/r6RjE0nIvHX9SQYzcP8emrlGNwiEINbBsHfpeS4x5PiqQr4JSQkwNvbWzDN29sber0eKSkp8PX1tZtn4cKF/J1Ctv7880+oVKoK72MVrRaijAwc/W0nCgIDUPOPPwAAEV98gaxmzeDy91Gob91C3LCh0Fy7Bt8tPyK7fj3Ev/46ZImJ8Nu4CakvvIDspk0qpD/ymBgEf/Elsho2RMKwoWWer+ZU04l+1NvjUVCG8h2W9eQHBiL6nbcdN2IMQV9+BVF+Pu5Neg8oR9aj6+EjEOflIaVHd6CMd0gS8izZv39/ZXeBkCfKo/hM5OXlVfgyn2S9e/dG7969K7sbhBBCCAEgkUiwbt06jB49Gl9//TWaNm2K0NBQDB48GA0bNnQ4j6enJwDA3d1dUC7xo48+wpIlS9CvXz8AQJUqVXD16lV88803DgN+KSkpMBgMDq+3JCQkVNQmkueEs7MzZDIZVCoVf1z+999/JbZXKpXQaDSQSCRU9pMQQshjl5xdiJ/PRGPLqSjEpOfz09tVd8ewVsHoUtcbUvHTMy70UxXwA2BXPoAx5nC6xfTp0zFp0iT+eVZWFgIDA9G1a1c4OTlVaN90Oh3++/IrSDMy0LJmDchq1ECU+bVGLVpApFIhfvduAEBHNzek/3cdBQC0l6+gSc+eiB35JvKTk+H700/o8OHMB+5H7j//IO3Lr+A1ZzayLlxEJgCnf/9Fk7XfA1Ip9LGxkPj7l/ieMYMBt80Bv+bePnDq2fO+60xZuhQZAJTR0ehZQnt9airuTZsOAHipYUPIQkLKtD22/Wk4fhwUdeuWab7yMObkoPDGDSgaNwZXgQO7p6/fAF1UJDw//LDMpVwIsaXT6bB//3506dLFYRYzIc+bR/mZsFQBIIQQQsizRSkV4+r8bpWy3vLo378/evXqhaNHjyIiIgJ79+7FokWL8N1335W5vGFycjKio6Px5ptvYvTo0fx0vV5/36wpR9db6O/YJ0t5j2Wj0YjsrGxonbQVUtKTEEIIeRYwxnDybho2nYjEvisJ0BlMMSZnpRQDmwVgSKsgVPPUVHIvH8xTFfDz8fGxu7ssKSkJEokE7u7uDueRy+UOS2FIpdJHcvHc4KQFALC0NBgjI/npXF4+im7ftj7Pz4eiejUUnD9vmpCaCmNmpqB/AFBw7RpkISGllsksLn7sONMiP1sEdWhHfrru33+hi4tD/MwP4TF+HDwnTHA4v85mQHCxTAqkpSH/7Flou3YtcSxCqZsb/1hUWAixxv4DobfZd2K9XvD+6xITIfHygjE3Dxk//QRtt26QBfgDAAw2GRfG6BhIGzUCYPpg6qKjIQ0MLNcfIbHvT0ZRTDRCNm4EZy55cu+dd5F/9ix8P10Il1dfLfOy7if1888BAK6vvAJVs2YVtlzy/HlU31nk+VaQo4NYJoJUJkZBrg5ShRhim7uWdIUGFBXooXaWgzEGo5FBxHGI+S8dPtWckRyVjcJ8PQJru+L6yQRUa+qFjMQ86IoMcPVW4eKhGDQI9YdBbwTHcchMzkdOegGqN/fGlb9jUb2ZF26eSUT1Zl7ITM5HUb4BBbk6pERnw7uKE6KvpqFaUy/c+zcF1Zp54fa5JLR8OQTAo/lM0GeMEEIIeTZxHFfm0pqVTaFQoEuXLujSpQtmz56NUaNGYc6cOWUO+BmNRgCmsp6tWrUSvCYWOw7YeHh4QCwWO7zeUjzrj1Su8h7LRqMRepkYKpnkoQN+hBBCyNMuM1+HbedisPlkFG4l5fDTmwS5YHirYPRq6AvFU36Dy9NxxmvWpk0b7Nq1SzDtzz//RPPmzZ+Yi3R6rSlrUJ+cDGNOLj/dkJkJY7b1IDJkZ4PprQMtF1y+DEisBxNjDBk//YSEufPgFjYC3tOnl2n9loxHADAWFsKYa+1DUWQUEszlTVNWrS4x4KePj7cuIysLSZ8tQtYff0DbrRsCViy3rkunQ9aff0Ldpg1gMNqsJxLKevXsllsUHcM/NmRasygytm1H/IwZ8Jw4EcbcXKR++y1Sv/0WNU9EmNravG9Fd+7wj1O//Q7JS5fCe+ZMuL0+3OG2GLKyIFIo+MAeYwxZ5izL3IgIaMyDoeefPWvqyy+/8gE/XVwckletgtuIEVDUrOlw+aUx5ltTgA1lyBopio5G/sV/4dSzh12WYe7JUxC7ujxQPwghT5+CHB2kSlPwjTGGxLtZ8AzUQiwV4eaZRMhVEgTVdUfczXTcOpOE1n2rQVdowN8/3kDddn7wq+mCiwei4RGgQWAdN/z+1UUoNVJ0fr0Oflt+Hs5eSrR6uSq2zD8F36pOaNO3OrYuOosazb0QUMcN//x6Ey16VcGdC8lIuJ2J7mMa4PDm/yASc6jezBvn9kWiQecAXPrL9L1evZkXbp1NwoUD0chINN2k4eKtQkZiHi7sN+W6y1USFObpAQCHN18HAERsN90Ic2LHneJvAa4cjQMA3DyTBAD474TpAlRuZiEQ/KjeeUIIIYSQJ0vdunWxY8cOh69ZxuwzGKzXFry9veHv7487d+6UeWxemUyGZs2aYf/+/ejbty8/ff/+/XjllVcevPPkuSWTyQTHZUW3J4QQQsrjYnQGNp+MxM6LcSjQmeIYKpkYrzbxx7BWQajn9+yMHVupAb+cnBzcunWLf3737l1cuHABbm5uCAoKwvTp0xEbG4sNGzYAAMaOHYsvv/wSkyZNwujRoxEREYE1a9Zgy5YtlbUJdvRaU4afPjkZIrmCn27IzIAxJ5t/bszOEQSBDFnZ4ETWgJ8xKwsJc03BubT1G8oc8NPFWINqUh8fQZDRmJsL2AQES1xGQqJ1e9LTkWUehzB73z4wvZ7P8ktZvRopq1ZD3bYN5HXq8PMU3bvnMOCni4nmHxuyrdseP2MGACB5+XKoWrQwvZ6RYe23TdtCm+MleelSAEDixx87DPjp4uJwu1t3qFq2RNCa7wAAzCZbUBfvYCwCm/cn5p13UXD1KvJOn0b1ffcfFDtr/36wggI49e4NjuNgsMnYZAUF950/Yc4c5B6PQMHVq/Ce8oG1n7GxiDKPs1Dnv2v3Xc79ZB86BKm/PxS1aj30sgghjhmNDBxnLYuUGpuD6GtpaPhCIEQiDjdOJSA1NhcteodAIhXj5K47SI/PRaehtZGXXYSfFpxCQC1X9H63EU7tuoszf9xDsx7BqN3aF39+ZxrwfuTn7bF9yXl+nTkZhbh7MQV3ziejw2s1cXKnKYgWOrQWYv5LBwB4hTgh8W4WEu9mQSQWQV9oQPS1dORkXIVBb8R/JxL4wFrEjtvQFZj+6P79y4v8es7tM2WvW4J9AHDrrCkoZwn2FX8MgA/2Pazoa+kIoIAfIYQQQp4xqampGDhwIEaOHImGDRtCq9XizJkzWLRoUYlBNy8vLyiVSuzduxcBAQFQKBRwdnbG3LlzMWHCBDg5OaFHjx4oLCzEmTNnkJ6eLhjyxNakSZPw+uuvo3nz5mjTpg3+97//ISoqCmPHjn2Um02eUSEhITh58iTu3bsHjUbDZ56W1t5yTTAgIABardZhtS5CCCGkrPKK9Nh5IQ6bT0bhUqz1On1tHy2GtQ7Gq439oFU8GUlkFalSA35nzpxB586d+eeWE8+wsDCsW7cO8fHxiIqK4l+vUqUK/vjjD7z33nv46quv4Ofnh5UrV6J///6Pve8l0ZtLehqSUwBXV366ITNTkKlmzMkWlPA05uQIgmBFUdbgmEXW/v0QazSmjDoburg4pKxeDffRo1EUaX2/jHl5wiCjTbZfaXQJ1gw/Q3o6ZMHBKDKXJzVkZ0Ni3q6Ur78BAOQej4DU3986T0qK4+XGxVn7kpXtsI00KBA4fRqAacw/ibs7DNnWtmXJlLPIO38eTKdD7j//oODaNSjq1IHBJutSZ5PJ6EjB1aumdjbvKWAaU5ArVgrFWFCA2EnvAzodDOkZcBvxuiDgp7cpk1qS3OOmjMa0778XBPyKYmP5x4asLIhtxp7MOXoMSYs+g++CBVCaS53eb5tixr8NoGKCh4Q8j9LicmE0MngEmEoX56QX4OTOO6jWxAshDT1QlK/H1sVnYTQwvDazBURiDj9+dAoAoNRIUb25Nw5uuAajnkEk4VCzhTfO7L4HAPCt7gJdoQFGA0PU1TSkxOTgzB+m187uiYTa2fpH7y1z5hsAxFxPR1GB9Y7YuJvp/OObp603cVw6bBOks5meHm//+6AreDLvsBVLqBQRIYQQQp49Go0GrVq1wrJly3D79m3odDoEBgZi9OjRmGG+SbY4iUSClStXYv78+Zg9ezY6dOiAw4cPY9SoUVCpVFi8eDGmTJkCtVqNBg0aYOLEiSWu/7XXXkNqairmz5+P+Ph41K9fH3/88QeCg+lOK1J+kydPRlhYGOrWrYv8/HysXbu21Pb9+/fHtm3b0LlzZ2RkZGDt2rVlLmNLCCGE2LqRmI3NJyKx7VwssgtNN5/LJCL0auCL4a2D0DTI9Zkeo7hSA36dOnUSlKAsbt26dXbTQkNDce7cuUfYq4djsGT4paTwZSQBwJiZCaNt4Co7WxC8MubmQJ+UzD/Pv/Qv/1js7g5dYhJi3zWV4Kx55rRgjLyEjz9BzsGDyPpjD3w/mm9dR2YmOJs7oooH/GwDV8aCAqT/sAViV1cYUlOty0jPEJSmNGZmWgOZNndo2ZboNNisJ2P7DqSu+Q5uI0bAkGNT0rSkwJ3N4VB48yYk7u6C981ok6HHKRR85hzT6VB46xbktWqh6O5dSNzdBf3LO30aijp1YMy1KQ96965pmUVFNutn5v+sHeEU1kzN2PcnI+/UKQStX4/CWzehCQ2FSC43ZSTqdACA/IsXAbwOQ3qGdXvTrBffAdO+iAx/A+q2beH13kTH74WlS0U6/rEuLk4Q8Is2D8Ie8957qHHoUKnLAYCCGzdsNrXsA7Abi4qQc+AAVK1bQ2IzXiMhz7rrJxOQnVaApl2DIBKLkJWSj58+PgWRmEPYJ+2g0EhxcP01xPyXjvhbmQhp6IEbpxORFmf6Hrx9PhkuXip+eVFX0+DspYJRb/qOSYnOgdbN+h2TFpeLogJrJlz8rQxBf1LjrN+v0desNxLoigww2pRWjrxk/R6Pu2ldRlaKNdtYryv9LtsnlUFnhPHJjEUSQgghhDwwuVyOhQsXYuHChaW2K34NZdSoURg1apRdu6FDh2Lo0KHl6sP48eMxfvz4cs1DiCM1a9ZERESEYJptAC88PFzwXC6X49dff31MvSOEEPKsKdQbsPdyAjafjMKpu9brZcHuKgxrFYQBzQLhppaVsoRnx1M1ht/TwKBQmv7PyYbYJvBlyMgUBLyKl/TUJSaC2QTWbLPKDOnpKIq8xz/PO3kSivoNoIuKhKpFCxTeumlaZm6uIGvNkJkJkcp6obko1prZAQD6lFTAaIDYyQlJS5chffNmQCyGs025EEN6usMMO0HgTSYTBi9tsugyfvoJRbduI2H2HKjbtbPZflN7Vqysg9E2KJhuCpIZBAE/67JFGg0M5oBfwscfI+PHnyCrUgVFd+9CGhAAt5FvWLfVvCzb5evTUgXrAUyBQwCC7EuJhwf/2DL+352ePQEA7qPehNfkyYKApyVAKszws158zzt9GklLlqLg0iUUXLrkMOBnG4wzZlmXo4uLg6J2bbv2xkxhAFWXmIi4yR9A4uMD/8WL+Om2YwMac3IgNgeo+fU6yF4EgNRv/oeUr76CvE4dVN2+ze51Qp42RQV6yBTWn8DcjEL8sfpfeAZpETq0FjiOQ3J0Ng6sNWX6OnsqUaO5N+5cSIbRwGA0MET/l4Yazb2RGmv6XslMzkdBrk6QLZcakwN9kTU6lZGUj/QE6/dnenwuXH2s39PpCbkw6K0Xce5csN4IAgAJt63fB7HXrd9dOWmFgnZPazCvrApTn+4BlAkhhBBCCCGEEELIw4lOy8Pmk1H45Uw0UnNNST1iEYeX6nhheOtgtKvmAZHo2c3mc4QCfhXMKDdFio25eYKMOkNmpiBIZsgRZvjZlrs0PbeWcYTRyJeXBIDcf44jbcNG5J08Cf+lSyDWaGHJAcs7ddq6jowMiLTWTEBdtDDgl3ciAnFTp0HdoYM16GUwQGdTRlWfnCwIRFqCWHqbLEAwBkOWsDxp0pIlkFWpCn2y9WK1Pslafs5gLumpL1b+UzCuoXldtuU/Le8hY0wQlMs/a8r6tGTt6WJiBKVFLWMC2gb8LEEyg025Tcv7YLvvLAE8R9mo6T/9bA74Zdi0zzP33zrNkGpaR965c4h8fYRgGY4y7VhREZ+dKThOYoXHiYVtYBcwjW+YZy6N6vfJx+CkpnrERpuxBA1paXzAj+n1iJ38AfJOnECV33ZA6u0tWJ5lHMfCa1QGlDz9Tu++i1O77qLz67VRt50fAODa8XgkRWYjKTIbNVv5wK+6C+7aBNtSYnJQo7k3MpOt34fJkdmo3tQLRfnWgF5aXC4ykqzf9VmpBTAard8dmUl5yE6zfg6zUwvsnhsN1vZxNzIEfbcEFwEISng+b1LPqmAccf8xaQkhhBBCCCGEEELIs0NvMOKv68nYdCISf99MthTsg4+TAoNbBmJwiyD4OCtKX8gzjAJ+FYyZgzTGvDxBNpohM5MvPwmYSmUymwCgPtEaDAPsAzsFly7zj4siI5F38iQAIPGzRWA2JSmLoq1j/xmzs2HMsMkyS7SO1wQAKf/7FgCQe/QoxDbjDRbZBPx0xebJO3MWGb/8Ck1oqHWbdTro4xOsbU6f5gNvgm1KsLYxZGVCl5iIvNNnhG1irEFJg7nvBptxCFmu6T0z5uby2XgAoM8QlswEgLxz5/nHBZcuI//iRWFZUUvw0ibgx2cCFgtyMsbACoUZNAAg1mrBjEZ+jEPAGpS0zfCzBO2Kby8AGLOyILIp0WrZPpEl4GeTvWebKWgbgLQE/JjRiLQNG5C1/4B1Wfn5EJsDfsXHFZSZx2PIjYhA9t69AEwlSaVduwr6Y1vW1JHsw4eR8tUq+H68AIqaNUttS8jjcvN0Io79ehNdR9aDfy3Td1xRgR6ndpm+ny4fieUDfrE3rN8hcTcz4FfdBemJ1u9oS4nOLJuAX1pCLnIzC2HQW7PpMpLyBGUzs1Ot7QGgME+PlGibmxiMDEn3rJ/xnHTh90wpVa+fa0of3XN3hxYhhBBCCCGEEELI8yoxqwA/nY7GllNRiM+0XnvrWNMTw1oF4cXaXpCIRaUs4flAAb8KZjQHaVheHgzZNtlkOTmC7KriGX3Fg3G62FjB8/zLl2weW4N/xeezDTwVX48ly42f1zYAZ1PW0jYTzzYoCQCp33wDAMj+80/BdNv5HQX7AAjHMMzMxO2u3eyCaIKAX3o6mF5vl+EXNXIk8s6cFa4/WZgpCIDPcAOAgsuXce+1wXALs2bXGTIzoYuPF5QgZXl5MObnC7Ixodcjbd16OPXsYbcOkZMTEubPR8aPPwmWAZgCeXy/zYFGY7H307KdEAm/jIw5OYB5rDzb7EmWZwoeFN27h+h33uGnc+aAX86RI0j69DPhsvLy+HH/bLMibccY1Nu8f7b7id9Om7EgHYkZOw4AkLxkKQK/+drudV1sLCS+voKSooRUlNyMQkhkIshVUn4aYwx/rrkCAPhzzRW8sag9AOF4dmnxuTAajBCJRchwFNyzCdylxZnLdqZYA3jpCXnITBIG9DKT8gUZe1mpBRCJhYGp2GJZe7bredZwnH3Q0r+WC2KvZ0DrpkB2WgE0bnLoCg2o29YPBr0RWakFcPdXI/5WJmq08Eb0tTTUbe+H6CtpqNXGB/cuJSO24JLjFRJCCCGEEEIIIYSQZ4LRyHD8dio2n4zEn1cTYTBX0XJTyzCweQCGtgxCsLu6knv5ZKGAXwUz2gRGbMtV2paIBCAoNwnYB+NsM7EA4Zh+xmKvCWcse4m34n16nHKP/XPfvqatX4/s/fshsSkvyXQ65B6PKGUuGw6Wn7XPGqhkhYW41fkFQbYiAFxv0hSal14UTEv67DPknTpltzxOJBIE+wDAaA7KCcdszDa/Zh/w06el22XQWfaNLjYWmdu22yzbNH/s+5NRdOu2dVvMGYn6JOF4X7b9AYplHaZbMxstZUgBIOfwYajbtoXU19e6nTb9MxYUQGTz3DbTsnjgEjC957H/939wGTgAvh99ZPc6IQ8jL6sIm+eegEQqwsDpLaB1U/DTbdsU5eshU0oEgT2DzoiMxHxo3RWCzLpMc0lO2+y8rJQCFObrkZ1qDc7lpBUIyncCQHJUFgw24+cV5OiQbj4ZEYk4GI0MRfl6h9siVYihM5fpVDnJBNsgV0lQmGeaT6YQgwF8WycPBR80VDrJkG+ez8VbxW+vxk3Oj/Nnux6xRMRnKKpd5MjNMLUJrOOK6GumGzm8QpyQdC8LLt4q/r1s9EIgLh6KRlBdNwTVc8eJHbfRaXhtxFxLg1wlhWewFmnxuWjYOQCXj8SidhtfpMRkQ19kRM2W3ijM1UOmFOP2uWQE1nWDXCWxK21sUb+jPwAguJ67abt8FIj7gwJ+hBBCCCGEEEIIIc+i9NwibD0Xg80no3A3xRrDaBHiiuGtg9G9vg/kEnEl9vDJRQG/CsYkEkAsNgWb9I4v6hKUOTCpi4uzy4Z8GLZZjRY5R47YTztw0H7aX3/ZL8+mHKiFJSgnGMPR/Ni2zCv/WkY6xC7OwmWYg4V3Xu0ryLizlBq1CxCb24gU9pl4tsE82/kMNuVebQOR2fsPIOef46h9TphFaaFPSYEsIIB/XmQzNqTU18eufcqXXwAAMn75lQJ+pMLdvZgMXYEBugID/ouIR4teVQDYZ80l3s1CYF03u+mpcTl243NmJOVDV2RAfrYpmG3JUou/mQGjgYETcaZxRA0M8bdMnyO5WoLCXD3i75gye1XOMhh0RhTm6flAnV9NF8T8Z82G9q3uzM8vkYvhHeLEv+4RoEHCnUx+nL7Aum64dcaUfe3kqYTRwPhMxMA6brhy1PQ9WaOZF/79y/SZ9Kvhwgf8FGopH/DzCtIi7lYmmJGhamMP3P03BfoiI5r3DEHsjXQk3M5E6NBaOPnbHQTUcUO1Jp44sycStVv7wGhgyE4rQNXGnmjaPRhKjRSciEODzgEQiTjUamX/HdDq5aoAAGdPJT9NoTFlY9Zo4W3XnhBCCCGEEEIIIYQ8XxhjOBeVgc0nI/H7v/EoMt+grpFL0K+pP4a1CkYtH20l9/LJRwG/isZxEKlUDssikmePowAiH/CzKRVaWoafIS0NRk9P4bTMTDCdzu44sgT8OInwo2vMygJjjA8s2rKUGGVFRSi6ZzPWoE1blp/vcJ7i/QfMpUBtAn5GmzEWjbn22wcxfc2Qh8MYw8WD0SjM16NZ92BIpNY7eGzLY0ZfS7MG/JKFx2Jmch4C4WY3pl5WSj5kCtMx6uylRGZSPory9UiJNgXdpQoxnNyVSI3N4cuBOnsqYdAbkZ1agJj/TEF//5quuHM+GfpCU4BO66aA0cCQHGX6fEjlYvhUdeYDehwH+FazBvycPZV8diJgCurlZhYiNdb0Oa3SyIMP+HkEaJBpM5ZgSEMPPuBXq7UPH/Dzr+kCuUqC839GoX5Hf2jdFTj9+110HFwLRQV6XD0Wh7b9qqNF7yqIvZGBeu39UK+Dn7l/HLqOqs+vo13/6vxjzyDTyZXKScZPo/H0CCGEEEIIIYQQQkh55RTqseN8LDafjMK1eOsQWfX8nDC8dTBebuQHtZyuL5cVvVOPQPGAn0it5oMrEk9P6JOtZRc5hQLMZmw/TqkUBF9EKpUgSCRydnZY0rN4u+eV2M0NEi8vFP73X6X1gRUWovDuXegS4gXTbvfuDRiMdu0NWdl25VVj3nkX7uPG2rW1ZAgaiwfodDqwggJBkJGfx9w2ftZsFN68aZ1us06HgTrbPtpmGeZkl/yagwxGTnz/9Orck6eQc+ggPCdNuu94geT5c/diCv759RYAQKWVoUEna8A56Z71RCAtLheMMXAcJwiIAaax9Gz/t5SpzE4t4Mf+c/VRw6AzIie9ELHXTYE8rZsCGlc5UmNzEGsO+Dl5KGHQGZCdWoDcTFP5TEvAz0LjqgBj1oCfs5cSWnebgJ6HEi7eKv65s6cS7v4a/rmbr1ow3mBIfQ/+sW81FwTUdkNSZDbqtfdDYG031G7rC3c/NbyCndBjbAOkxeWiRnNv1GjhjTptfeHipQIn4hBU151fjk9VU2axQiOFqw/VOyeEEEIIIYQQQgghj8e1+CxsOhGJHedjkVtkuoFeLhGhTyM/DG8djEYBziUO/0JKZj/gFnlonNp64ZRTKiFycuKfi93dwUml/HOpt7CcWfHnsipVrE/EYqiaNuWfqtu35x8r6tUTzCf2sF4c5pRK4Wue1tds+6bt0kW4ITbjsdkuz5bEz9fhdAupnx+c+vQptU1Fqn74L7i9PlwwzWPCuxW6DkW9egj4erUpRceGvEYN/vGdHj1RePWa4PWiW7dRdPcuAMCpZw+oQzsCMJXcdDSeYurqr+2mMfN4fMUDfoApe9BoM26gdXo+mMGAzN9+E0w35NqMMehgeazIOn6YIMOv2DoEmYyOxoW0qaecsXWb/esAosLCkLZ+A5KXLnX4Onm+3fvXOubpvUvWxwa9EZkp1mO3ME/Pj3tnma7Umr5vs1MLwBhDlnl6QC0XfnpOuikIqHGV82UnLZl4GlcF1K6mILQluFg8Gw8wZdOJJdbvTK2bHE42AT5nTxWcPKzfxS4+Kj7gBpgCgP61XPnnfjVc+FKYNVt6Q6aU4KU36qJt/+qo09YXtVr5YMzKUHR4rSbEUhFeHFEHjV8KAgBUbeyJ5j1DwIk4cBwHVx81OMrAI4QQQgghhBBCCCGVqEBnwLZzMei36h/0WHEUm09GIbfIgKqeaszqXRenZryEzwc2QuNAFwr2PSAK+D0CIrXK5rFa8Fys0UCktdaaLR4wk/gIxz+SVa1qfc3NDer27fjnHmPH8I9tg00AIA8J4R9LfYXrkPlbs2PkNWrAqWdPqFq0gNPLwsCcxMuLf6yoWdO6Teb+S/39oX3xJet0Z+E4dCG//IJq+/+ELDCQn8bJZII2Xh98ALc33oBTz56C9SoaNkRZyGy2k5PLIZLJIFJrBG2cunRBtQP7BdNcR7wOTadO912+U88ecBk4ULjO4CBoO3WCSGXdr6oWLRDy04+CIGlpnF99FfKq1QCYAmZZf+wp03zG/HzT2GHmbE5OYQ0oGHNzSwj45Qky+2zb27YpzlIeNPGzRTCkW8cdM2YXD/jZBgMdZPiJrAG/+JkzkXvylP2GmWXu/qPE18jzKy3eelylxFiPv9yMQoABYokITh6mz0Jmkimgl5VsCuIF1HYzPU/JR362DvoiI8ABfjVMwbWs1AJ+bDutmwLOXqbPtaVUqNZNDhdP62cdMAf8bIJ54EwZfC7e1oCeq69akLHn4qWEV7D1u9/NVw0XbxWC67tDoZaiWhNPeARo0Gt8Q7w6qQnc/TWo2tgTA6c3R+jQWgCAWq180KRLEB+8oxMfQgghhJDnD8dx2LFjR2V3g5CnSlk+N+Hh4Xj11VcfeV/Cw8Mxd+7cR76eJ8G6devQqQzX3gghz767Kbn4ePdVtF54EJN+vohzURmQiDj0auCLH0a3wsFJoXizfRU4q6T3XxgpFQX8HgGRyprhJ1KrILLJ+BNptRBprReBpT6+gE3JQ2mxgJ+iljXQJvbwgHOvXpB4ekLRoAFUzZvDqU8fiJyd4TKgv2A+aUiwdT5nZ0EmnzTIJgAnFsN/6RIEb9xg6otlulwOsU0AzzagqH2hM0J+3IIqW3+F2HZbvL0FWW8SL09wYjHEztZ1i7Rawfuh7dYV3lOnQGKT2SjSahH0/ffwW7xYsE22wVDXEa8j8LvvoO3aVTAfAIg0woCfSKOBWCsc0FPVrDkCv14NsYsLP819zBh4TX5f0E7s7gHfj+YLMhwtAUXbgJ/E1wcilUowrTQilQoic+Zl2tq1yNq9u9T2lmxOY36+KfPOYEpzrnH0b75vxrw8GMzBN68PPoC2WzfzPHl8ZqEtQWaeo4zB3DwYcnKRtnZtsfmsAb78K1cQP3eezTwOxhA099XCUfDRwpCSUuJr5NllNDLsWHoOa6ccE2TwAabx+9JtAn55mUUozNcDALLTzJl5bnI+ey7LPEafJcMvoLYr3zbbXM5T7STjy2lmpxUIlmPJ8LPQuCng5i8sd+nkoRCU49S4yCGRiuFsExj0DNQiuL47P7adZ7AWMoUETboEwc1PjcYvBYHjOPR+pxHeXNKBz/YLaegB/5rWTD+vYCd+jEFCCCGEEPJsS0pKwpgxYxAUFAS5XA4fHx9069YNERERfJv4+Hj06NEDAHDv3j1wHIcLFy489Lr//vtv9OnTB35+fhRUJA+tU6dOmDhxYmV3g1eWz82KFSuwbt26x963Y8eOoV27dnB3d4dSqUTt2rWxbNkyQZsrV66gf//+CAkJAcdxWL58+WPvZ0VLTU1FQEAAOI5DRkaG4LVLly4hNDQUSqUS/v7+mD9/PhhjldNRQsgD0xmM2Hs5HsO/O4nOnx/Gt0fvIiNPB38XJSZ3rYnj01/AV8Oaom01D7qpvQLRVcRHQBAIcnEtFvDTQKzRQmf73MUFhtRUU3tfYcBPXqu2dVnu7hC7uKDa3j18WVC/zz41vVjsQyHW2gbZTOswZpnK0amaN0fWzl0AAGUjayadxN3NOr+rq2A7xO7WcZ84lQrKxo3Ny7YpV+rkBE4u58cklJjnEbtZ5xUplTDq9dZ1upnWafseiTUaiDVqOPfpjcSPP4bB/MMvr1oV+oQEAICibl1o2rdDwZUrgvWb5hdenBdptXxwjZ9mbiNyduKXL/Xzg+trg5Dxy68oiow0vW5+D8RqNR+M4gOLajVgHo9RbA4yitRqh1l2xYlUKkHmp4W6bVvkHj8umOYyaBBchw3D3WPHoIuORvRY69h+IqUSIpUKBlhKeuaat0/DbzPLz3eYwSfM8DM99pk/D8lLl8GQkQFjbo7DMfkMGdYxJGPGvw3odPxzfXw8DDk5/PsBCMuBmiYIA4CEJEdm8xl1R3+6gZAG1gB7bkYRigoM4EQc5EoJCnJ1SI/PhU9VZ+RYAnWuCnPALx1ZyfkoKtAj31zaM8BcJjM/W4e0eNNn08lDCY2rHBwHGHRGJEVm8cuRSIRjTmrdFHDzLRbw81QCNn9reAaZvhOqNPbAnQvJEIk5uAdoIBJxGDSzBXLSCxFU1/Rd17Z/dbTtX70C3jVCCCGEEPKs6d+/P3Q6HdavX4+qVasiMTERBw8eRFpaGt/Gp9hNwhUlNzcXjRo1whtvvIH+/fvffwZCHhJjDAaDARLJo780WZbPjXOxqlWPi1qtxjvvvIOGDRtCrVbj2LFjGDNmDNRqNd566y0AQF5eHqpWrYqBAwfivffec7icuLg4eHl5Vej7GRMTA39//0dyIf7NN99Ew4YNERsbK5ielZWFLl26oHPnzjh9+jRu3LiB8PBwqNVqvP++6Sb9jIwMiEQiONkkNxBCnhxxGfn48XQ0fjwVhaRsU1UtjgM61/LCsFZB6FTLC2IaeuaRoQy/R0AQvHJzKxbM0gpKeoo1GohdXfjnssAgwbKUDerz7ZVNGvPLt5TG5EQi079iP762WYRijVaQySZ2dkH1vw7BY/x4uL7+unW6TVBP4uEh7LeTFtru3QGpFO5hYdbpNuux7RcAcOaTDLGbNVtF4u4uKHtpCagVz4Lkl2ETqLMt3ynx9BTMD4DfRttlgeMgUqnAicV2QUXLe2Hti9LcX2vg0xI0s+0THyy07bP5sdjBCaLn/02wm1ZSNqCmUye4DBzgoK31fciLOGHaNJkMnETCr1sXH88H10QaNT+PMS8fxjxrBp+qTWsAQP65c0g0Z1FaxgaUuLlBZM7INObmQhcXZ9fHlFWrkH3wIABAn5goeM2Yl4fbPXoI7rwyFAv46W3+WAVAd2kRxN6wlozNSilAQY41iGzJ7nP2VMI9wPS5TU8wBbCz+VKccr6kZ1ZqAbJSTIFAuUoCJw8lZEqJeT0ZpvYeCoglIn5sPn2REQDg5K6As5fw5gA3PzU05nYWLp4quPio+HXWbm3Kjq7Z0gcdB9fE0Lmt+cw+d38Nguu70xh6hBBCCCGViTGgKPfx/yvH3zoZGRk4duwYPvvsM3Tu3BnBwcFo2bIlpk+fjl69evHtbLPvqlSpAgBo0qQJOI4TlM5bu3Yt6tSpA4VCgdq1a2PVqlWlrr9Hjx5YsGAB+vXrV/b3lTx+D3Is6/Ie6/EcHh6OI0eOYMWKFeA407ji9+7dw+HDh8FxHPbt24fmzZtDLpfj6NGjuH37Nl555RV4e3tDo9GgRYsWOHDggGCZISEh+OSTTzBy5EhotVoEBQXhf//7H/96UVER3nnnHfj6+kKhUCAkJAQLFy7kXy/L56Z4Sc/CwkJMmDABXl5eUCgUaN++PU6fPs2/btmegwcPonnz5lCpVGjbti2uX79enj2KJk2aYMiQIahXrx5CQkIwfPhwdOvWDUePHuXbtGjRAosXL8bgwYMhl8sdLufbb79FQEAA3n//fVy6dKlcfSjJrFmzULVqVcyZMwd37typkGUCwOrVq5GRkYHJkyfbvbZ582YUFBRg3bp1qF+/Pvr164cZM2Zg6dKl/PWjixcvwsfHB8OHD8f+/fthNBorrG+EkAdjNDIcvp6E0RvOoP1nh7Dy4E0kZRfCQyPD252r4e8POuP78BZ4sY43BfseMcrwewRsy2eKXV0Bmx8ekVZbLEimgcTFFUV8exdAKuWzpsQuLqiy9VcYMrOgqF+vzH2wzbASaTQQu1gDUVJfH0h9feE54V1hv21OGsTOzoKAlEijhf+Sz2HIyoLE1VUw3botarsx+gBrFh8ASLy9IatWDZnbtsFz4v/ZzGuzLpv3R9WkMbLi403z2tyRxQf8bAOb5mCbbUlPkVoNzhxgFDk58VltljZim33FZ/PZBvwsmXsaYQDVtr1pPebl2QRWLdxHjYKqRQtEDrcGVzmVShDMtC5HBd+PPkLmzl1ghYX8NhTPULRdv+X/uPetJ0pijYbvkyE7G5x53zr36wfXQQNxzxw0TFvzPaT+/si/eJFfliWAaMzJcRjwA4DkL76E9sUXIQ0IgC4mRvCaITkFxtxciDUa03iDmZmC1/VJyYLnlu3kn+v1fLDYVvaBA0j/5Rf4ffqp4BgkTz/bMfoAIDkmG4HmsfcykkzBPVcfFTQucsReT0d6gql9drqlFKcCTu7mkp4p+chKNgWwLeU5nTwUSInO4QOLlrbOHkp+/D6JXAy1ixxytbBWuJuPGhzHIbCOK6KvpaNGC2+IpabvlNc+bIm8rCK4mMf9E4k4NOgUAEIIIYQQ8oTR5QGf+D3+9c6IA2Tq+7cDoNFooNFosGPHDrRu3brEi/q2Tp06hZYtW+LAgQOoV68eZOa/x7/99lvMmTMHX375JZo0aYLz589j9OjRUKvVCLO5gZc8hcp5LIsAuFTUust4PK9YsQI3btxA/fr1MX/+fACAp6cn7t27BwCYMmUKPv/8c1StWhUuLi6IiYlBz549sWDBAigUCqxfvx59+vTB9evXERRkvSl+yZIl+OijjzBjxgz8+uuvGDduHDp27IjatWtj5cqV2LlzJ37++WcEBQUhOjoa0dHRDvtX0uemuClTpmDr1q1Yv349goODsWjRInTr1g23bt2Cm811o5kzZ2LJkiXw9PTE2LFjMXLkSPzzzz9lfVftnD9/HsePH8eCBQvKNd/UqVNRp04dbNiwAU2bNkWDBg0QFhaGoUOHwtN8Da28Vq5ciV9++QUbNmzAggUL0K5dO4SFhWHQoEHQFhs6p6yuXr2K+fPn4+TJkw6DiBEREQgNDRV8B3br1g3Tp0/HvXv3UKVKFXTs2BF79uzBhg0bMGDAADg5OeH1119HWFgYatWq9UD9IoQ8mNScQvx8JgY/nIpEdJo14aR1VTcMbx2MrnV9IJNQztnjRO/2IyDxsY5HJ3FzFQaLtNZADGAOxtlm+IWEQFws80sWFARlg/r3TaF36mmqR+4yaJAwEKfVQCRX8M+lgYF28xYndnYW9ttJC04stgu0iIpl+DnKcLMt6Snx8oLvR/NR4+jf8LAtTVksC9LCc8IEcEol1O3bC4KWloCf1MvLOp8lw8+m37YByOJBUMt28tPM77vENiPRy7QeQZDWtqRn8eXZBPycX3kZ/suXg5NKBe+BaXlahxl+DjMKVSq7cQlt++twORoNH7hM37gRhdf/sy5LLTxBT5z/kXU+tRpi8/FpzMmBPkGYwWfBmceddBSYA8CXj2WFhWA2JT8BQJ8iDPjpk5KE8zoYB9BYUICYd95F7pG/cW/AQOSdO+9wveTplF4s4JcSbS2Lm5NuCshp3BRw8TEd65nmgF4On+GngNacbZedWsCP3+dkDvhp3RTC9u6m55Zx/wDA1VsFjuMglVlLekqkIj641/n1Oug+pj5eGGEtsyxTSPhgHyGEEEIIIQ9DIpFg3bp1WL9+PVxcXNCuXTvMmDED//77b4nzWC7iu7u7w8fHhw9CfPTRR1iyZAn69euHKlWqoF+/fnjvvffwzTffPJZtIc83Z2dnyGQyqFQq+Pj4wMfHB2Kx9e+s+fPno0uXLqhWrRrc3d3RqFEjjBkzBg0aNECNGjWwYMECVK1aFTt37hQst2fPnhg/fjyqV6+OqVOnwsPDA4cPHwYAREVFoUaNGmjfvj2Cg4PRvn17DBkyxGH/Svrc2MrNzcXq1auxePFi9OjRA3Xr1sW3334LpVKJNWvWCNp+/PHHCA0NRd26dTFt2jQcP34cBeahbsojICAAcrkczZs3x9tvv41Ro0aVa36FQoFBgwbh999/R2xsLEaMGIH169fD398fr776KrZv3w69zRA7ZaHVajFy5EgcPnwYd+7cQdeuXbFo0SJBdl15qjYVFhZiyJAhWLx4sSCYayshIQHe3t6CaZbnCeZhfjiOQ2hoKNasWYOEhAQsWrQI58+fR/369dG6dWusXr0amcVuPieEVBzGGE7dTcOELefRZuEhfLb3P0Sn5cNJIcEb7UJwYFIofnyrDXo39KNgXyWgDL9HQOJrvdtK7OoG5FhLGoqKlfQUadRgRdaAiCwgACK1GoYH+GHymT8f2pdegiY0FLk2g3qLNRoU5lovoDvKQrNQt2uH3H/+gevrw5FvE1SxDSDass2QE7u4wO/jBYgaNRqe703kp0tsApoipdIUOCx2d5Gj4BlgCoDW+OsQOJUKWbt+t9sGic1JgKOAn205Sc7m7iBL0FUQsLQE7WyCc5aAoiCAWlpJT5v31mP8eMiCg039tBkfERxnGntPKQwUOPXsAW2XLqbl2I4ZqFZBpFCgOM5csrN4AM+yLbaBy6w/9pimK5UQe3jYtee318+PX54hN5cfj1Beuza8Jr2H6LfGAACM+aaAimVsQJfXXkPGTz/xyzFkZUHq5weDOfBni9mUFy2Kjsbtrt0Er8e+9x78V6yA2OZzUnDtGv9YFxuLyKFDUee/ayBPB8YYkqOy4eanhkQqtnstPdF0HNVo7oWbZ5KQEm393OZYsvhc5XyALssc0BO8Zs7ay8ko5DMALe0tmX4WloCfR6D18+9p87jrqHo48P1VvBBWxzqPm4IPHBJCCCGEkKeMVGXKTqqM9ZZD//790atXLxw9ehQRERHYu3cvFi1ahO+++w7h4eFlWkZycjKio6Px5ptvYvTo0fx0vV5faWOUkQpUzmPZaDQiKzsbTlotRKKHvOhazuO5JM2bNxc8z83Nxbx58/D7778jLi4Oer0e+fn5iIqKErRr2LAh/5jjOPj4+CDJfANxeHg4unTpglq1aqF79+7o3bs3unbt+sB9vH37NnQ6Hdq1a8dPk0qlaNmyJa5dE16LsO2Xr69puIekpKQSA1olOXr0KHJycnDixAlMmzYN1atXLzFoeT9eXl6YOHEiJk6ciD179iA8PBy//fYbzp8/j8aNG9u137x5M8aMGcM/37NnDzp06CBoExwcjA8//BAffvgh1q9fj3feeQebN29Geno6XEq5zmhr+vTpqFOnDoYPH15qu+IJD5agoqNECKVSiSFDhmDIkCG4ceMGhgwZgvHjx6OwsBATJ04sU78IIWWTVaDD9nOx2HwyEjcSrbGGRoEuGNYqCH0a+kEpE5eyBPI4UMDvEZD6+fKPxa6ukFUJ4Z+LtBowvU2Az99fENzjpFL4zJuH6NGj4W7zY1sWYo0GTj17AgDUbdpApNHAmJMDaUAgDAcPWddRSqZgwFdfQp+YyAeq+GVr7TPMAEAWGAhOoYBIpYLLa4MgCwhAzVMn+TKagDDLjpNKHS0GsiDr+gxZwmCnJYimbm860ZIGB/HbILHJ8OPkMvvts8kuk/r7o+DyZQDWEqJFt63lAxS1TZk7thmXluVLvG0yCR1m+Jkf29Qgtg1G2pZ5tdS9ty1jqmzWDP5Ll1rbF8vws2y3LjLKZrpa8LotkVojKE1qna6CxNUVQd+vQdTIN+1eF3t48IFPY04uH9hz6tkTmo4dEfjtt4gePdou4Of+RjjAARk/moJ+lkCfJWgpdnaG36LPED1mLD8vAGRu327Xh9zjEcg9dgxOPXrw04w59ll/5OlxcucdnN0TCd9qzug7uangM5qbUQhdgQGciEOVxp64eSYJGeYAIABkp5mCelpXm7KdyflgjFlfc1NAqZVCIhNBX2RE7HVT6U5LoM8zWHjDgmU51Zt54+hPNwEAvjVc+NdrNPdG9WZej2RgckIIIYQQUgk4rsylNSubQqFAly5d0KVLF8yePRujRo3CnDlzyhzws4xl9e2336JVq1aC12yzrMhTqrzHstEISA2meR424FdB1MVuWv7ggw+wb98+fP7556hevTqUSiUGDBiAoqIiQTtpsetJHMfxx3vTpk1x9+5d7NmzBwcOHMCgQYPw0ksv4ddff32gPpYUYGKM2U2z7ZfltQcZU84ytmCDBg2QmJiIuXPnPnDALzs7G7/++is2btyIv//+G6GhoQgLC0PdunUdtn/55ZcF3xf+/v52bVJSUvDjjz9iw4YNuHDhAnr06IGwsLBy3Uhw6NAhXLp0id8vlvfZw8MDM2fOxLx58+Dj48Nn8llYArvFM/8A080M+/fvx4YNG/Dbb7+hatWq+OyzzzBs2LAy94sQUrrLsZnYdCISv12IQ77OAABQSsV4pbEfhrUKRoMAuqHoSUIBv0dA4meT4eekhaplS/45KyyCqllzZGz5EcqmTaFo1AjSwEDkX7jAt9F0aI8a/xxzGLApK5Fajep/HUL+hYtQt2kNfVISCi5fhvw+taxFCgUf7FPUs44ZWFJfxC4uqH5gv6lUpDnwxJVyEimvU9vx9KpVIHZ1hSE9HaqmzRy2kXp7o/qRI8LymjbZfKywyNFsPPfRo5G9bx+kfn78SZjr0CHIO30a2i4v8cFITmRT0s+cDSezKYPKZwfaBNrE5hNWlm8t22CblecocCCY3zYgWGy7LO2C1nyPOz168CUyLYFJTmz/fou1GlN2afF1mkuGqtu2hbxmTRTeuCF4neM4PnhpzLUG/CzzWYLZxrw80/h85oAfp1LBe/p0PuBnzMoCYwx3+/U3r1gETmFahm3AT+zieCw+Q06O4LllPeTpU1Sgx4UDprET4m9nIi0+F+5+1uM7PcG0b509lXD1MR17lpKcgLCkp6VsZ1GBAVkpBdAVmE4yNK4KcBwHJw8l0uJykZVi+hw6mzP8vENsygFLRXAyL0flJMNrH7ZE3M0M1Ggh/MOBgn2EEEIIIeRJULduXezYscPha5axxwwGAz/N29sb/v7+uHPnDl3wJpVGJpMJjsvSHD16FOHh4ejbty8AICcnhx/vrzycnJzw2muv4bXXXsOAAQPQvXt3pKWl2ZXsdPS5Ka569eqQyWQ4duwYhg4dCgDQ6XQ4c+bMY8kaY4yhsLCwXPMYDAb8+eef2LhxI3bs2IGAgACMGDEC69atu2+2oVardTgmX2FhIXbt2oUNGzZg7969qFevHsLCwrB79+4HGhdw69atyLe5JnT69GmMHDkSR48eRbVq1QAAbdq0wYwZM1BUVMTvqz///BN+fn4ICQnh5z1//jw2bNiALVu2QK/XY8iQIfj777/tMkgJIQ8mv8iAXf/GYfOJSFyMsSbn1PTWYFirYPRt6g8nhePEHlK5KOD3CAiCYxwHsUYDbY/uyD3yN9Rt20Di6QlZgD8U9eqB4zh4fTAZYAyuQwbzs0nc3R0suZz90Gqh6dAeAOD2+nBI/f2hatmizPOLZDKE/LgFhuzsUvsjKaVEpEXwDz+g4PIlaF96qcQ21fb8gZwjRwSZXcVJbTLtgGIX5W3uoJLXro3C//4TtFXWr4cq27YKgmnabt0Q8uMWKEq4y8mSnSj1D+Cn8QFHmzrlIidnS4dK7HtxliAaYB/wEwQ1zQE/WYA/gjasR+QQ08mmxFx6VJdoP86eSK0WlPTkt8cmyFh8XECFuQyFJXMx/9+L0MfHC/pg6TPLywMrLOTfc5FKDZFcDnWHDsg9ehSGrGzoYq1lRgzp6RCZS5AaC6wnd4DjWu+2gVPAccDP0Z115MkTfS0NBp31sxl3I0MQ8LNk6Tl5KPhAXGGuHoV5OsgUEuRmmAN+rnJIZWKonGXIyyzis/jkagmkcrF5GaaAn4VlDD9nTyUUaikKcnUIqO0qOG48AjTwCHCcwUwIIYQQQsjjkpqaioEDB2LkyJFo2LAhtFotzpw5g0WLFuGVV15xOI+XlxeUSiX27t2LgIAAKBQKODs7Y+7cuZgwYQKcnJzQo0cPFBYW4syZM0hPT8ekSZMcLisnJwe3bt3in9+9excXLlyAm5tbuUsTEhISEoKTJ0/i3r170Gg0DsfJs6hevTq2bduGPn36gOM4zJo1q9wZcsuWLYOvry8aN24MkUiEX375BT4+Pg5LTZb0ubGlVqsxbtw4fPDBB/xnYNGiRcjLy8Obb9pXS3oYX331FYKCglDbXHXq2LFj+Pzzz/Huu+/ybYqKinD16lX+cWxsLC5cuACNRoPq1asDAD755BMsWbIEgwYNwoEDB9C2bduH7tv48eOxe/duDB06FGfOnBGUL30QlqCeRYq5KlSdOnX4fTV06FDMmzcP4eHhmDFjBm7evIlPPvkEs2fP5v+WP3r0KF588UX06NEDq1atQu/evfngICHk4dxKysbmk1HYejYGWQWmcT9lYhF6NPDBsFbBaBHiStdjn3AU8HsEOJEIrsOGIf/iRajbmwJu/kuXghUU8AETpU3NbKmXF/w/X/xo+ySTwal7t/s3LEbpoLb3g1A1bQJV0yalthG7uMC5hD9kSuP2xhvI3LYNbmEj+Gn+y5YiYdZsuI8dK2hbPLDHiUR22+jUpzdSvv0fNB078tOk/tasTUvQTF7DdFLFyeVQmDMXPcaNRc7ff8N1+P3vpBS7WgNyxcdVFIwZaFPuQmIzj2VcQPdRo5B/4SKMNuPlcRKJ45KeStuAn3DcxMBvvjb1xRwIzP37qPV1y3iB5m1nOp1gfD7L65Zyp4asTOSfP1ds3ZZgoTXgZ5vJp2jQAAWXLgEQZgGanjsI+BUUgFMq7afr9aYgtavj7EHyeNkG4AAg9kY6GnSyBtBz0izj8CkgU0igdJIhP6sImcn5ULvIYTQwcBygdjadvDt7KJGXWYTIK6kAABcv6zHtW80Z9/41/cEgV0ugcbGO2/nSG3Vx52Iy2rwi/AODEEIIIYSQJ4FGo0GrVq2wbNkyfvywwMBAjB49GjNmzHA4j0QiwcqVKzF//nzMnj0bHTp0wOHDhzFq1CioVCosXrwYU6ZMgVqtRoMGDUrNTDpz5gw6d+7MP7cEBsPCwrBu3bqK3FTyHJg8eTJfQjI/Px93794tse2yZcswcuRItG3bFh4eHpg6dSqybK43lIVGo8Fnn32GmzdvQiwWo0WLFvjjjz8cjltY0uemuE8//RRGoxGvv/46srOz0bx5c+zbtw+uFXytwWg0Yvr06bh79y4kEgmqVauGTz/9VDCmXlxcHJo0sV5T+/zzz/H5558jNDSU7/vrr7+ODz74AApFxY09P336dHzzzTeQSB7f5WNnZ2fs378fb7/9Npo3bw5XV1dMmjRJcLNC3bp1ERsb+0BZhoQQe0V6I/ZdScDmk5E4cSeNnx7opsSwVsEY2CwA7hp5KUsgTxIK+D0iPrM+FDznOM5hcII8PO+pU+A1+X1wNuMRyKtUQfCmjQ+0PImrK2ocPixYntTXFxJfX3BiMSTmQJpTnz7g5HJoOnTg28qCg1Hjn2NlutNB7OQE/y9WImv3H3AZ0F/wGiexKStqU6PcNohnydBTt2yJmidP4HqTpmAFwpKinhP/D8nLV1in2ZYRtcnwc371VT5AJlLbjwdgOXZtMwQNqan8NEsZV5GzKVPRmJUFXbGgnaOSnpax+Zx694b/54sRP2s2Mn75pVgWoCmjsDhjXp4gS9IiZsL/IefIEXi++y6cX30FUh8fuzbk8bGMxxfcwB2Rl1KRcEf4h1uOTQYfADh7KPiAHzPf1Kl2kUNkLl3r5KFE/O1MPrDn5ms9XoPruyNi+20AgG9VZ3A2Y2oG13dHcP2Hz5wmhBBCCCHkUZDL5Vi4cCEWLlxYajvGhFVSRo0ahVGjRtm1Gzp0KF+KsCw6depkt2xCHlTNmjUREREhmBYSEuLwGAsJCcGhQ4cE095++23Bc0clPi/YDI0zevRojB49usT+lOVzUzywrVAosHLlSqxcudLhMh19Zho3blzuz9G7774ryOZzpKT3rnibimbJHnxUSvreadCgAf7+++8S53OvgKpohBAgJj0fv56/jZ9OxyAlx3R9TsQBL9bxxrBWQehYwxMiEWXzPW0o4EeeCVwFDz5efHmcRIJq+/YCRiM4851NIrkczn362M9bQrDPY/w4pKxaDa+pU/lpTl26wKlLF7u2RVHR/GPbgJ/ItqY6Z71TjeM4SL29URQZKVzn2LEounsXmb/tNM2vsgbIbAN7YifbjEL78ob8+IxSKSAWAwYD9ObSC46CiMbcXL4cKgD4LlzIr5sVFoIZjeBEIhjNGX6yqqbBqcXmgKFtFiDguKRn8SxAADAWFSHH/IdC8vLlyNy+3bTfSKWxBPyqNvZE5KVU5GYUQldkgFRm+ozlpgsDfk6eSiTcyUJWSj5/UmF5DQCcvcyBY4PpjwLLuH8A4OanhlwtQWGuHrXb+j7iLSOEEEIIIYQQQggh5OlhMDIcup6Mb66JcO3EUX7EKi+tHINbBmFwi0D4uVDS0tOMAn6ElJHoIeuBe7z7LpxfeQXSMox/IK9eHXknTwIikSCAKHhcrKSCxNfXLuAHACKtdXxA29KhtoE9QQlRjYOAn7kUKMdxEKlUMGZnI/W7NabXbMcFND825uWB05sGwHYfNxYufV8VBOhYfj44tRrGnGxTv8zrtGQSGguKjeGXawoa2Y7N6CgIWHDliuC5o/eDPD6MMaQnmPaTTxVnyFUSFObpkZWcD3d/0z7nM/xcTGVHnD1Mx0BWcj4kUlNQUONmLUliCfhZuPpajz+O49B3UlOkJ+ShWhPheJ+EEEIIIYQQQgghhDyPkrIL8PPpaGw5FY3YjHwApkSS9tU9MLx1EF6s4w2p2L4MMnn6UMCPkMeE4zjIgoPL1NbjnbchUinh/Oqrdq+5DBqE7L8OwblfX8F07ykf4G6//nAZMlgw3TYwJqtalX8sdrEOSi3M8LMv6SnIDFQqYczONgUkAYhtBre2zGvMtQb8+GCh3JqlZczPh0it5sfwswQfLW1tx+zTJSYic8cOAIBTt67IyM6GLjbWYZlPfWKi3TRSefIyi6ArNIATcXD2VMLZU4mkyGxk2gb8zBl+aktJT0/TsZaZkg+pwvQTpXG1Bvw8ArS2qxCU9AQAd38Nv2xCCCGEEEIIIeRJ8uqrr8LF5mbsZ1njxo0RHh5e2d0g5LnFGEPEnVRsPhGFfVcSoDea0vlclFI0cSnEjNc6oIaPS+V2klQ4CvgR8gSSuLrC6/33Hb7mO38efIxz+HHzLBR166LmqZPCsp8A9MnJ/GPbLEWJl22pUGsWoEhun8loO1Ze8XHzBFmD5gy/vHPnrOP6WcqBikTglEqw/Hykfr8WXh9M5sfwE2ktAT9TYIflWzP8Yt9/H4bMTH5ZfBaho5Keubl200jlyUox7SONqxxiqcga8EsyTS8q0KMoX8+3AQAnT9P+zUzOh8wc8NPaZPi5+aqhdpEjN6MQamcZtO4VNyA5IYQQQgghhBDyKL3q4MbuZ1Xjxo3RuHHjyu4GIc+dzDwdfj0Xg80nI3En2XqttFmwK4a1CkLX2h44uH8fQtztkz7I048CfoQ8hYoH+yzETk520zzGvIXcf/6BW1iYYLrE21ry0DbDT+zgTjNB2c5i6xBk+Jnb6RMSrNNsg4VyOQz5+Uj7/ntoQkP5MfzsSnraBPPyz5zlH3MqFThztqHDcf1y7aeRR4sxVuK4lXy5Tkv2npclmGfaT5bsPplSwgf3LBl+OemF/Bh+Lt7CIPPL/9cYEdtuoX6ngBLXTQghhBBCnm9Go7Gyu/BMY5ZBfwghhBBS6RhjuBCdgc0no7DrYhwK9abzILVMjL5N/TG0ZTDq+pmu6ep0usrsKnnEKOBHyDNO1bw5akYctwvUSb2sAT/bMfzkNWrA9+OPkfLNN9BFRZletwn4SdzcSlzX/cqBWjL1AMCQkQGDeQw/y7iBIoVlDD9rwI9TqfjynYrata0Zfg6y+eyCgFJpiX0lD+/krju4dDgGL7xeB1Ube9q9bgnoWUpy8uU6k037NzddGBAEAKVWCplSgqJ8PbJSTJmeLl7W4w8wZfn1ertRBW8NIYQQQgh5FshkMohEIsTFxcHT0xMymYxuEqtAjDEUFhYiOTkZEokEsocc654QQgghDy63UI/fLsRh88lIXInL4qfX8XXC8NZBeKWxPzRyCgE9T2hvE/IcsM3Cs5B4W0t6cjJhYMylfz8o6tVFyjffwKlHD3A2f8TZjsUHAEyv5x/bBgYdTfOe9SES539kmq+oyFrS0xxwtAQHWZ414Cfx8IAuKgr+K1ZA2aABJO4eAICcY8fg1KeP4I93uyCgTgdWVCToP6kYRiPDmd33AAB7vr6E1xe0gZOHMBMv15zhp3YpNj6fuaRnToYpoKdxsR5THMfBxVuFpHumkxSZUiIo6UkIIYQQQkhpRCIRqlSpgvj4eMTFxVV2d55JjDGkpaWhefPmEJVQfYYQQgghj871hGxsPhmJbedikVNoujYrk4jQu6EvhrUKRtMgF7rh6TlFAT9CnlMirRZiDw8Yc3IgCwqye11RuzYCli2zm84Vz5oz2AT8HGT4cTYlPd2GDkX2vj+Rd/IkDJmZMGaZgjoijWk+R9l7xnxT1p4s2NRHiacpkyxr5y449+kDTYcO1raOynzm50NMAb8KZwnIWUReTkWDTgGCaXyGn4uwpGd2egEMOiP/utpVGET2r+nCL9+3ujM4EZ2gEEIIIYSQspPJZAgKCoJer4fBYKjs7jxzGGO4efMmpFRRhRBCCHlsCvUG7LmUgM0nI3H6Xjo/vYqHGsNaBaF/0wC4quka6POOAn6EPKc4jkP1A/vBdDrBOHv3na/YH3Xqdu34x44z/IRBQKmvLwAgccECfpplDD+xuVxoUWQkMneZAnrMPC6fZdkSm1KkWb/vFgb8zIFCz/cnIXnlF4BOB2NensMMR/JwIi+nCp7H3cywC/jlWjL4zAE9pVYKqVwMXaEBWan5yEo1vV48g69BpwCc/9NUTjakgccj6T8hhBBCCHm2cRwHqVRKQalHgMb+IYQQQh6fyNRc/HAyCr+cjUFabhEAQCzi0LWuN4a3Dkabqu4Q0c3yxIwCfoQ8x0QKBaAoX7lE18GvIXPHDkj9/eE54V049erFv8Y5DPgJg4mlZQFKPKzBnbgPpsCpVy8Y8/PNyzEtW6S09lfi58s/LrxzB5k7dvBtRSoVjJmZ/PykYiVFmsZfrNrYE3cuJCM5OtuuTU6xkp4cx8HZS4mU6BxkJuUjI8EUzHXxFh43WjcF2vavjqR7WajV2udRbgYhhBBCCCGEEEIIIU8UvcGIg/8lYfPJKPx9I5mf7uuswJCWQXitRSC8nWgIHGKPAn6EkHJRNm6Man/ug8TbG6Ji4/mJtVq79sUDfCJzNp8tS01pUbH5WUEBwJjpNXPAz5IhaJrPOl5E4oKPBevkA3659mU++eXrdGAGgynwScolLS4HAFCrlQ/uXEhGZnI+igr0kClMPytGI0NehumuI41NyU5nD3PALzkf6QmmjExXH/tAcZMu9mVmCSGEEEIIIYSQ8uI4Dtu3b8err75aYpvw8HBkZGRgh/lG4kclPDwcISEhmDt37iNdz5Ng3bp1WLduHQ4fPlzZXSHkqZGQWYAfT0fhx1PRSMgyVcbiOKBjDU8Mbx2MzrU8IRHT+LmkZHR0EELKTRYUZBfsAwCRUgnfjxdA7OrKT7MtwQk4zvCzKD6YrCEnx/qaOSin7tgRMA8Mb8y1vl547y7/mBUU8GVCM7dvd7guptPhdo+euNO7Dwqu3yixT8ReUYGeH3/Pv5YL1M4ygAGpsdaxF/Ozi2A0MnAcoHKy1g+3jOMXdysDhXl6gLNOI4QQQgghhBDy9OvUqRMmTpxY2d3gxcfHo0ePHgCAe/fugeM4XLhwQdBmxYoVWLdu3WPv27Zt29ClSxd4enrCyckJbdq0wb59+wRtvv32W3To0AGurq5wdXXFSy+9hFOnTj32vj6s1NRUdO/eHX5+fpDL5QgMDMQ777yDrKwsvk1BQQHCw8PRoEEDSCSSUoO0hDwrjEaGozeTMWbjGbT77BCWH7iJhKwCuKtlGBtaDUcmd8b6kS3Rpa43BfvIfdERQgipUC79+6Pqzt/gFhaGavv22gXxRJqSA37F6RMTAZhKhXLmIB/HcfCcMAFAsYCgSMw/VrfvAKm/PwAg/YcfkH/5iv2y09Kgi4mBLiYGd195BWmbNpe5X8+7XHOpTplSArlKCo9AU2Zmik1ZT0sblbMcIpuTEc8gU9s7503lCLSuCkhl1n1HCCGEEEIIIcQxxhjydHnl+pevzy/3PI7+MXP1nYrcFr1eX6HLLImPjw/kDm5atuXs7AwXF5fH0h9bf//9N7p06YI//vgDZ8+eRefOndGnTx+cP3+eb3P48GEMGTIEf/31FyIiIhAUFISuXbsiNjaWbxMXF1fh72dMTEyF7neRSIRXXnkFO3fuxI0bN7Bu3TocOHAAY8eO5dsYDAYolUpMmDABL730ksPlZGRkCIKEhDyt0nKL8L+/b+OFJYfx+ppT2HclEQYjQ8sqblgxuDGOT38B03rURpA73ShPyo5KehJCKpzE0xPe06c5fE1crKSn69Chgue+ny5E/LTpAIDY9yYBsJbztLCUBTXmWDPKLGP1hfzyM2QB/hA5WcuD6mKioaxfT7AMY26u4HniggVwGz6s9A0jAMBn91lKdbr5qRF5ORXp8bl2bSzj91l4V3ESPHdxUM6TEEIIIYQQQoi9fH0+Wv3QqlLWfXLoSaik9//7LTw8HEeOHMGRI0ewYsUKAMDdu3dx7949dO7cGXv37sXMmTPx77//Yt++fQgKCsKkSZNw4sQJ5Obmok6dOli4cKEg2BMSEoK33noLt27dwi+//AJXV1d8+OGHeOuttwAARUVFmDRpErZu3Yr09HT4+PhgzJgxmD7ddG3BtqRnlSpVAABNmjQBAISGhuLw4cN2JT0LCwvxwQcf4Mcff0RWVhaaN2+OZcuWoUWLFgBMQbjOnTvjwIEDmDp1Kq5evYrGjRtj7dq1qFWrVpnf1+XLlwuef/LJJ/jtt9+wa9cuvo+bNwtvUP7222/x66+/4uDBgxgxYgQ/bfXq1Rg2bBifIfewZs2ahcOHD2PEiBEICwtD1apVH2p5rq6uGDduHP88ODgY48ePx+LFi/lparUaq1evBgD8888/yMjIsFvOxYsX0aNHD/Tr1w9hYWF48cUXIRJRTgt5OjDGcDYyHZtPRmH3pXgU6Y0AAK1cgv7NAjC0VRBqetsPmURIWdG3ISHksbIt9+kxfjy8Z30oeN3l1Vch8TON06eLiQEAiNTFA36mLEGjTYafJeAndnY2TdAbbGaw/6orbWw/Ujo+4GcO5rmYS3JmJOfbt3EVBvw0rnJBic/iAUBCCCGEEEIIeRxiY2MxfPhwuLu7Q6VSoXHjxjh79iz/OmMMc+fOhZ+fH5RKJTp16oQrV4TVYwoLC/Huu+/Cw8MDarUaL7/8MmLMf8c+r1asWIE2bdpg9OjRiI+PR3x8PAIDA/nXp0yZgoULF+LatWto2LAhcnJy0LNnTxw4cADnz59Ht27d0KdPH0RFRQmWu2TJEjRv3hznz5/H+PHjMW7cOPz3338AgJUrV2Lnzp34+eefcf36dWzatAkhISEO+2cphXngwAHEx8dj27ZtDttNmTIFW7duxfr163Hu3DlUr14d3bp1Q1pamqDdzJkzsWTJEpw5cwYSiQQjR4580LcOAGA0GpGdnQ03N7cS2+Tl5UGn0wnaTJ06FStXrsT169fRtGlTNG3aFCtWrEBycvID92XlypWYNWsWjhw5gho1aqBjx45Ys2YNsrOz7z9zGcTFxWHbtm0IDQ0t13wdO3bEnj17IJfLMWDAAAQHB2PGjBm4fv16hfSLkEchu0CHjRH30GPFUQz4OgLbz8eiSG9EA39nfNa/AU7OfBFzX65HwT7y0CjDjxDyWEkDAvjHYg93u5KfACB2doE+Lp5/LnFzF76uNf34WQJ+jDEwc8BPpFQCANzfGo2sP/4wtxNm8wGAMc8+4Mf0enAS+lq8n5x006DBanMwz9nL9J5nJlnfU0tJT02xDD+O4+Bb3Rm3z5n+6AiqK9y3hBBCCCGEEPKopaeno127dujcuTP27NkDLy8v3L59W1DScdGiRVi6dCnWrVuHmjVrYsGCBejSpQuuX78Orflv0okTJ2LXrl348ccf4e7ujvfffx+9e/fG2bNnIRZX/NAFSokSJ4eeLHN7S/BIq9U+dAaUUqIsUztnZ2fIZDKoVCr4+PjYvT5//nx06dKFf+7u7o5GjRrxzxcsWIDt27dj586deOedd/jpPXv2xPjx4wGYglvLli3D4cOHUbt2bURFRaFGjRpo3749OI5DcHBwif3z9PTk1+uofwCQm5uL1atXY926dfzYf99++y3279+PNWvW4IMPPuDbfvzxx3zAatq0aejVqxcKCgqgUCju+145smTJEuTm5mLQoEEltpk2bRr8/f0FWZAKhQKDBg3CoEGDkJSUhB9++AHr16/HBx98gJ49eyIsLAx9+vSBpBzXPLRaLUaOHImRI0ciMjISGzduxKJFizBhwgT07dsXYWFheOmllxxe1ynNkCFD8NtvvyE/Px99+vTBd999V675OY5DaGgoQkND8eWXX2LHjh3YsGEDFi9ejGbNmiEsLAxDhw6Fs+WGcEIq0ZW4TGw6EYXfLsQir8iUnKCQivByIz8Mbx2MhgEuldtB8syhK9uEkMfKMrYeAKCE+vLiYidlXLFa+yK1qaSnIdcc8CsoAMx15TmlKdtMUbs2NC+8gJxDh+zKdwL2JT0BU5agJZhISpaT4TjDLzu1AAa9EWKJCDkZ5qCgi/04Ce0H1oBHgAauPmr4VKUMP0IIIYQQQsjj9dlnnyEwMBBr167lp9lmhDHGsHz5csycORP9+vUDAKxfvx7e3t744YcfMGbMGGRmZmLNmjXYuHEjH3jZtGkTAgMDceDAAXTr1s1uvYWFhSgsLOSfW8Yh0+l00Ol0grY6nQ6MMRiNRhiNRn66Qlz2QBITMegleiglynIHZeyWxVi5xnOz9N3C8rhp06aC6bm5uZg/fz52797Nj0OXn5+PyMhIQbsGDRoInvv4+CAxMRFGoxEjRoxAt27dUKtWLXTr1g29evVC165dBf2xvI+WZRR/Xy3bZzQacfPmTeh0OrRp04ZvIxaL0aJFC1y9elUwb/369fnH3t7eAICEhAQEBQUJlm27juLvjcWWLVswd+5cbN++HR4eHg7bLP5/9u47PKoqfeD4d2Yy6b0npBF67ySACEhVBGwUKdJ09YcLIrZlbaAIFlRWXQuuKyhBXBQrKAQFRJHeO0JIgRQC6ZNMvb8/JhkYkkAICZOE9/M8++zcc8+9884cM8zc9573vPEGX3zxBb/++ivOzs4V9gkMDGTGjBnMmDGDn376iSlTpvDdd9+xa9cuOnbsWK5/QkKCXanN1atX07t3b7s+kZGR/POf/+Sf//wnS5cuZcaMGSQkJHD+/PlK1z689L2+1Jtvvsnzzz/PsWPHeO6553j88cf597//Xe74K71XZVxcXBg9ejSjR4/m+PHjjBs3jmnTplFSUsJjjz1W7nxl/280GmslKS+uruyz7vLPvIakxGhmzcEMlm9PY19anq29SZAH93eL4O6O4Xi7aQHHvA83wxjUB1cbh+qOjyT8hBA3lNr5YjlHxVi1hF+5c1y2hl9ZOU8AtdvFHz8af2v5UEtRIZeraIafRaeThF8VFNnKdVrfa3cfZ5xcNJj0ZvKzi/EL9bikT/mEn6efK13vaHzjAhZCCCGEEEKIS3z//fcMHjyYkSNHsmnTJho1asS0adN46KGHAOuacxkZGXZJIxcXF/r06cOWLVt4+OGH2bVrF0aj0a5PeHg4bdu2ZcuWLRUm/BYsWMDcuXPLta9btw73y9aud3JyIjQ0lMLCQgwGw3W93poqwVhVJpMJg8FgS2iCtQwlWJM/l7Y/8cQT/Prrr7z88ss0btwYNzc3Jk6cSGFhoa2fxWLBbDbbHWexWCguLiY/P5+mTZuyZ88e1q9fz6ZNmxg9ejR9+/Zl6dKltv5lfQtLKwUVFRXZnc9oNGIymcjPz7e9X5fGcHmfstdTUlJi61PWlp+fb3dcmYKCAoxGI3q9vtz+VatW8fe//51PP/2U7t27V3j8u+++y8KFC/n222+JiYmpsE/Z83z//fd8+eWXbNmyhV69ejF37lwiIiIqPKZv37789ttvtu2wsLBy/c6fP8/XX3/Nl19+yYEDBxgwYAD3338/KpWq0jhKSkps79el3N3dcXd3Jzw8nIULF3LHHXfw2GOPlZtxeen7XRmTycSGDRtYsWIFP/30E9HR0cyZM4dhw4ZdMa7ffvsNUyU3oYsbIzEx0dEh1LjMYtiSqWZ7lgqd2XqThUal0N5f4ZYQC02881Dl5PH7hkNXOdON0RDHoD6qbBx0FVy7rgpJ+AkhbrjARx8lf+3P+N57T4X7Nd6Xzfq67EZEzWVr+Fl01oSfysUF1SV3aGk8SvtVMJvPlJlZrk3W9auasvX5ykp6qlQqfILcOJ9WSF6WNeFn61PBDD8hhBBCCCGEcKRTp07xwQcfMGvWLP75z3+yfft2ZsyYgYuLCw888AAZGRnAxRlbZUJCQkhOTgass7icnZ3xu2Sd+rI+Zcdfbvbs2cyaNcu2nZ+fT2RkJIMGDcL7st/BJSUlpKam4unpWe3ykIqi2Ep6Xu8Mv2vh5uaGRqOxe01lCU0vLy+79u3btzN58mTGjh0LWJNsqampODs72/qp1WpcXV3tjtNoNLi4uNjavL29mTRpEpMmTWLMmDHccccdmEwm2zp3bm5ueHt727YvP59Wq8XJyQlvb286duyIs7Mz+/bto02bNoA1+bRv3z4ee+wxvL29K3w9HqXXIDw9Pe3Ofek4aLVau7jBOrPv0UcfJSEhgbvuuqvC93ThwoUsXLiQn376ifj4+HL7zWYz69atY9myZXz33XdEREQwYcIEPvvsM7vZhhXx9vam0aXVmErp9Xp++OEHPv/8c9auXUubNm144IEHGDt2rK006pW4urra3tPKlL2Pl453mUvH5HJ79uzh888/Z8WKFZhMJsaMGcPGjRvp2rVrpc+lKArnz5/H1dWVW2+9tdp/V+L6GI1GEhMTGThwIFqt1tHhXDej2cL6I1l8sSONP09dXOOzka8rY7pGcF+XRgR61q1rYw1tDOqrq43DlW52uBJJ+Akhbrig6X8naPrfK92v8bWf4acNDrbbts3wKypCsVgo+uMPa7ub/ZoCttKfhfYz/PJ+XE3WG2+Ue96KZv2J8srKdV46e8832J3zaYXkZOqIMlsoOG/t4x1YtXUehBBCCCGEEOJGsVgsdO3alfnz5wPQqVMnDh06xAcffMADDzxg63d5kkxRlKsmzq7Ux8XFBReX8hd+tVptuYt9ZrMZlUqFWq2u9vp7ZaUQy85zozRu3Jjt27eTkpKCp6cn/v7+tue//PU0bdqUb775huHDh6NSqXj++eexWCzlYq7oNZS1vf3224SFhdGxY0fUajVff/01oaGhFT5vaGgobm5urFu3jqioKFxdXfHx8UGlUtnO5+Xlxf/93//xzDPPEBgYSFRUFK+//jo6nY4HH3zQ7jVc/rii13jpOFz6PGBN9k2aNIl//etf9OzZk6ysLMCaoCxbg+7111/n+eefZ/ny5cTGxtr6eHp64ll6feSVV17hzTffZNSoUaxfv56ePXte9zj+/e9/Z/Xq1YwdO5ZXXnmF9u3bX9Pxl78va9asITMzk27duuHp6cnhw4d5+umn6dWrF7GxsbbjDh8+jMFgICcnh4KCAvbv3w9gK0e6efNm+vfvz+23387777/PnXfeifMl1aQqc+k4VPQ3J26s+j4GZ3KLWbE9hRU7UjlXYL3pXaWC21oEMz4+mlubB6FR37gbLaqjvo9BQ1HZOFR3bCThJ4Socy4t6ekUGkrQrCfs9pcl/FAUiv74g4wXX7S2X1YCRV3JDL+st960PfYdPRrdjh0YTp3Cois/E1DYMxrM6IusZS/KSnoC+IVZ3/ucjCLys0uwWBSctGrbOn9CCCGEEEIIUVeEhYXRunVru7ZWrVrx9ddfA9hKC2ZkZBAWFmbrk5WVZZv1FxoaaktKXDrLLysrq0aSLfXZk08+ycSJE2ndujXFxcUkJSVV2vftt99mypQp9OzZk8DAQJ555plrntXg6enJa6+9xokTJ2xr7a1Zs6bCJKeTkxPvvPMOL730Ei+88AK9e/dm48aN5fq9+uqrWCwWJkyYQEFBAV27dmXt2rXlZnRer48++giTycSjjz7Ko48+amufOHEiS5YsAeD999/HYDBw33332R374osvMmfOHAAmTJjAU089VaOz1mbPns1HH32Ek1PNXD52c3Pj448/5vHHH0ev1xMZGck999zDP/7xD7t+d9xxh20mLVgT8nBxDb7WrVtz5syZKs0yFKImmS0Kv504R8LWZH49moWldFnTQE8XxnSLZEz3SCL83K98EiFqmST8hBB1juqSO7Nif/wBTVmCr2z/JXdEpj70t4vt7pfP8CtL+NnP3HNpHIvpbLq1j7u7LVEoM/yurmxtPq2LBmfXi+VT/UKt72Fuho7cLOv76BPsjqqO380khBBCCCGEuPn06tWLY8eO2bUdP36c6OhowDpDLTQ0lMTERFuywWAwsGnTJl577TUAunTpglarJTExkVGjRgGQnp7OwYMHef3112/gq6l7mjdvzp9//mnXFhMTY0vYXN7+66+/2rVdmvgCOH36dLnj9u7da3v80EMP2dZfrMjlz/vggw/y4IMP2rWVJdfKuLq68s477/DOO+9UeM6+ffuWO2/Hjh0rfI1XUlGy8XIVvf7LxcTEXNPzVkXTpk1r9Hz9+vVjy5YtV+13tdcbEBBQQxEJUTXZhXr+tzOV5dtSSMsptrX3bBLAuLhoBrUJQau5cbOohbgSSfgJIeocxWS2PS5L2l2qsvIoanf7vrbSn5eV9NRcckee18CBlByyLparP3oMr759qxXzzaIw15rw8/RzsRsHv1Dre5+ToSM305rw8w2Rcp5CCCGEEEKIuufxxx+nZ8+ezJ8/n1GjRrF9+3YWL17M4sWLAetvzpkzZzJ//nyaNWtGs2bNmD9/Pu7u7ra15nx8fJg6dSpPPPEEAQEB+Pv78+STT9KuXTsGDBjgyJcnhBDiOimKwrakCyRsS+Hng+kYzdZkvo+blvu6RDA2LoomQZ5XOYsQN54k/IQQdc6lpTmvZWFxjedlCT+P0pl7l5X0LJvJFzp3Lu6dO9kSfucWLcL/gQnlSoOKiwpzrGvzeVxWqtM3xB1UUFJkJONknrUtWN5HIYQQQgghRN3TrVs3vvnmG2bPns1LL71E48aNWbRoEePGjbP1efrppykuLmbatGnk5OQQFxfHunXr8PLysvV5++23cXJyYtSoURQXF9O/f3+WLFmCRqOp6GmFEELUcXnFRlbtTiNhWwp/ZV2cQNAx0pfx8dHc2T4MV618xou6SxJ+Qog6x2fEcPLXrMHjlluu6Tin4BC7bU0lM/wsxdaEX1liz2vwYPJWrQKg4Jdf8Bk2rFpx3wwKcy7O8LuU1lmDd6Ab+eeKObnnHAC+oZLwE0IIIYQQQtRNd955J3feeWel+1UqFXPmzLGtkVYRV1dX3n33Xd59991aiFA0RHfddRe+vr6ODuOG6NixI5MmTXJ0GEJUyf60XJZtTeb7fWcpMVoAcHfWMKJjI8bFRdG2kY+DIxSiaiThJ4Soc9RubkR/tvSajwua/nf789jW8Kt4hp+6dM2/oBnTbQk/c07uNT9vQ3Jq7zlUKmjcoeLFr4tsCb/yC4FHtfbn4KYztu2wJr61EqMQ4vrNmTOHuXPn2rWFhISQkZHhoIiEEEIIIYRo+O666y5Hh3DDdOzYkY4dOzo6DCEqpTOY+GHfWZZtTeHAmTxbe4sQL8bHR3FXp0Z4uWodGKEQ104SfkKIeinkuefInDfPth0650W0jRrZ9Slbw898WcJP0VkX2C2b4acNDcXn7rvJ++YbLCUltRl2nbZ7bTJ/fnMSVDBuTry1TOdlytbwu7ykJ0Dj9oG2hJ9/uAc+QbKGnxB1WZs2bVi/fr1tW0pPCSGEEELUPRaLxdEhCNFgKIri6BBEHXAis4CEbSl8vTuNghITAM4aNUPbhzEuLoou0X7XtMSQEHWJJPyEEPWS//hxmLLPcf7DjwDQVFASo2yGn6LTkfvtt/iW3klnm+HndjEhpXazzlhTbtKEn9FgZtv3p6wbChz5M50edzUp169sDb/LS3oCNGruh4evC3qdkT73t6jVeIUQ18/JyYnQ0FBHhyGEEEIIISrg7OyMWq3m7NmzBAUF4ezsfM0XoC0WCwaDgZKSEtRqdS1FKq5GxsHxFEVBr9dz7tw5nJyccHZ2dnRI4gbTm8z8fDCDhG0pbE+6YGuPDnBnbPcoRnaNxN9D/rsQ9Z8k/IQQ9ZbmksXSL1+/Dy7O8ANI/8fsiwm/YusMP5X7xRlsKldr8u9mneGXcTIPi/ninW6n92dXmPAryq28pKdGq2bM891RFAU3T/mSJERdd+LECcLDw3FxcSEuLo758+cTGxtbaX+9Xo9er7dt5+fnA2A0GjEajTUeX9k5a+PcompkDOoGGYe6QcahbpBxqBuuNg4yPjVDrVbTuHFj0tPTOXv2bLXOoSgKxcXFuLm5yWwVB5JxqBsUReHChQt07dpVEq83kdQLOpZvT+F/O1I5X2QAQKNWMaBVMOPiormlaSBqtfxdioZDEn5CiHqrbAYfgDas/CwVVQV3bBnPnMF8wXonj/qShJ/atWyGX3FNh1kvZCVbL9xHtfYn9WgOF84WkXeu2K4sp8loprjA+uO9ohl+AK4eUttciPogLi6Ozz77jObNm5OZmcm8efPo2bMnhw4dIiAgoMJjFixYUG7dP4B169bh7l6+BHBNSUxMrLVzi6qRMagbZBzqBhmHukHGoW6obBx0pRVVxPVzdnYmKioKk8mE2Wy+5uONRiO//fYbt956K1qt/FZzFBmHukFRFE6cOCFjcBMwWxR+PZpFwrZkNh0/R1kl1xBvF+7vHsWYblGE+pS/kV2IhkASfkKIeksxGGyPnYKCyu2//M45RVH4q/8A2/alCT9VaUlPS/HNOcPv/BnrOofhzX0xGS2cPZHLmeM5dgm/stl9Tlo1Lu7yz4cQ9dntt99ue9yuXTt69OhBkyZNWLp0KbNmzarwmNmzZ9vty8/PJzIykkGDBuHt7V3jMRqNRhITExk4cKD8KHcQGYO6QcahbpBxqBtkHOqGq41DWRUAUTNUKhVarbZa/81rNBpMJhOurq7yN+NAMg51g8w+bviy8ktYsSOVFdtTOJt38fpe72aBjIuLZkCrYJw0MrtTNGxyxVYIUW8plyxernKq+ONM7emJpbAQAEuR/Z2ml677p3YpTfhVYYZf0datOAUF4dKkfMnL+io7zfoeBTTypCjPwNkTueRk2L9fhResCT8PPxcpQyJEA+Ph4UG7du04ceJEpX1cXFxwcSk/u7e6F6CqqrbPL65OxqBukHGoG2Qc6gYZh7qhsnGQsRFCCHGjKIrClpPnSdiWzLpDmZgs1ul8fu5aRnWN5P7uUcQEelzlLEI0HJLwE0LUW753303uV1/hNXBgpX2ark/keHwPAIwpyXb7VJfUbC+b4adcZYZfybHjpEyaDECro0eqFXddYzKayc20JvcCI7woOG99D8rayhTkWNu9/KXsgRANjV6v58iRI/Tu3dvRoQghhBBCCCGEEFeUqzPw1a40lm9L4VR2ka29a7Qf4+OjGdI2FFetxoERCuEYkvATQtRbGh8fmvz445X7+Pqi8ffHfOEChtOnK+2ndrWWrrSUVJ7w0//1F0kjRlQr1rosJ12HYlFw8XDCw9cZv1BrqdMLZwvt+hVekISfEA3Fk08+ybBhw4iKiiIrK4t58+aRn5/PxIkTHR2aEEIIIYQQQghRjqIo7EnNZdnWZH7cn47BZK385enixN2dGjEuPoqWoTW/3IQQ9Ykk/IQQDZ7ayxPzhQsY09NtbW6dOtn3KZvhd4WE3+lx4+22FaMRVQMoV1NQmsjzCXJHpVIRFOUFQH52CSWFRlw9taX9rCU9PSXhJ0S9l5aWxv333092djZBQUHEx8ezdetWoqOjHR2aEEIIIYQQQghhU6g38d3eMyzbmsKR9IvrxLYO82Z8fDQjOobj4SJpDiFAEn5CiJuAxsMTI5D/81pbW6N/LbLro6rCDD9LXp79dlGR3TqA9VVRbmkiz9e6NpeLuxafIDfyzhVzLrWAyFb+wKUz/Mqv4SWEqF9WrFjh6BCEEEIIIYQQQohKHUnPJ2FbMt/uOUuh3gSAi5OaYR3CGRcXRcdIX1QqlYOjFKJukYSfEKLBU3tYF+ctOXAAAPce8WiDg+372NbwK67yec2FDSPhV1ia8PPwvZjI8wvzIO9cMbmZOlvCr2wmoMzwE0IIIYQQQgghhBA1rcRoZs2BdBK2pbArOcfWHhvkwbi4aO7t3Ahfd2cHRihE3SYJPyFEg6f29LTb1niVr+et8fEBwJSdjaIoVbpDyFJUdNU+9UFRTlnC7+IXJr9Qd07vh5wMHWCtk15Q2s/LTxJ+QgghhBBCCCGEEKJmJGUXsXxbMit3pZGrMwLgpFYxuE0o4+Kj6BEbILP5hKgCSfgJIRo8tbu73bbGp3zCTxsVBWo1lqIiSvbvx61DB7v9FSX38r77Dpcnn0ClVtdswDdYUV4FM/xCre9ZTob1det1Jkx6MwCeflLSUwghhBBCCCGEEEJUn9Fs4ZcjmSzbmsLvf2Xb2hv5unF/90hGdY0k2FtuOhfiWkjCTwjR4CkGg922JjCwXB+1szNYLACcHj2GVkeP2O03X7Z+H8CF//4Xt04d8R44sAajvfF0+db3x8P70oSftQxqbqZ1hl9ZOU83Ly1OzpobHKEQQgghhBBCCCGEaAhy9fCvX/5i5e4zZOZbb0JXqaBv8yDGx0fTt0UwGrXM5hOiOiThJ4Ro8CxFhXbbThUk/ABcWrRAf+xYhfvMBQUVtpccOFjvE35lM/zcfS6W9PQNsc7wK8zRYygxUVia8POS9fuEEEIIIYQQQgghxDWwWBQ2/5XN51uS+OWoBoVTAAR6OjOqayT3d48i0t/9KmcRQlyNw+vQvf/++zRu3BhXV1e6dOnC5s2br9g/ISGBDh064O7uTlhYGJMnT+b8+fM3KFohRH1kLrgs4RdQccIvfMF8ADR+fuXPkXtxhp8m6OLxTiHBNRGiw5iNFvRFJsA+4efqobWV7sxMyrfN8POUhJ8QQgghhBBCCCGEqILzhXo+3HSSvgs3MvG/21l/9BwKKrrH+PHu/Z3Y8o/+PD2kpST7hKghDk34ffnll8ycOZNnn32WPXv20Lt3b26//XZSUlIq7P/777/zwAMPMHXqVA4dOsTKlSvZsWMHDz744A2OXAhRn7i2amW3rXZ3q7Cf2tsHAEtxsV27YrGQMnEiAC6tWhHzxYqL+y7rW9/oCqzlPNUaFa4eWrt9jZpbE59nT+SSm2l9nd4BkvATQgghhBBCCCGEEBVTFIUdpy/w2Io99FjwK6/+dJSUCzq8XJ14ID6K2R1MJEztxrAO4Tg7OXw+khANikP/ot566y2mTp3Kgw8+SKtWrVi0aBGRkZF88MEHFfbfunUrMTExzJgxg8aNG3PLLbfw8MMPs3PnzhscuRCiPgme9Tj+U6bYtrURERX2U7tZk1lKSQlK6Xp+AKZzFxcONufm4hzRCL+x9wNg0dXzhF+eNeHn7u2MSmVfHz2ksTcA2akFZKdZS5oGRnje2ACFEEIIIYQQQgghRJ2XX2Lksz9PM2TRZkZ++Cff7T2LwWyhQ4QPr9/bnu3/HMDzQ1sSKpP5hKg1DlvDz2AwsGvXLv7xj3/YtQ8aNIgtW7ZUeEzPnj159tlnWbNmDbfffjtZWVl89dVXDB06tNLn0ev16PV623Z+fj4ARqMRo9FYA6/korLz1fR5hRDXycMD/8dn4hofj/n8edSRkRX+nVqcLn4kGgoKULtbv4EUpyRf7FNYiNFoRHGxlrs0lW7Xltr+XMm/oAPAzUtb7jl8QqwJ0MzT+ZgM1gSoT6ibfMYJh6rNvwn5b1sIIYQQQgghhLg2B8/kkbAtme/2nkVnMAPgptUwomM44+KiaRfhY+trNFoqO40QogY4LOGXnZ2N2WwmJCTErj0kJISMjIwKj+nZsycJCQmMHj2akpISTCYTw4cP59133630eRYsWMDcuXPLta9btw5399q5nSAxMbFWziuEqAFqFaxZU/E+i4XmpQ8Tf/wRs6d1NpvXnj2ElXUpKGDNmjX4p6YRCJw+doztlZ2vBtXW50phihZwpaAkhzWXvQ6LEVB5UlxgTYKoXSxs3bsJ1b5aCUWIa1IbfxM6na7GzymEEEIIIYQQQjQ0xQYzP+w/S8K2FPal5tramwV7Mj4+mrs6NcLHTVv5CYQQtcJhCb8yl5eQUxSlXFuZw4cPM2PGDF544QUGDx5Meno6Tz31FI888giffPJJhcfMnj2bWbNm2bbz8/OJjIxk0KBBeHt719wLwTozIDExkYEDB6LVygeaEPXRyZdeQiku4baePW2lPy+cOcOF0v3ayEjuuOMOcrKyOL9+PZFBQXS9445ai6e2P1d2rklm96EUGjeLpPcdzcrtX3/+CKf2WEuatuzWiFuGNq3xGIS4FrX5N1FWBUAIIYQQQgghhBDl/ZVVSMK2ZL7elUZ+iQkArUbF7W3DGB8fTbcYv0qv7Qshap/DEn6BgYFoNJpys/mysrLKzfors2DBAnr16sVTTz0FQPv27fHw8KB3797MmzePsLCwcse4uLjgUlp671JarbbWknK1eW4hRO1Su7ljLi5BbTRe/DsuLLLtj3jvXevfeOnsP/QlN+TvvbY+V0oKrV/OPH1dKzz/rWNakJ1aSH52CS3iw+SzTdQZtfE3If99CyGEEEIIIYQQ9gwmC+sOZ7BsazJbT12wtUf6uzG2ezQju0YQ6Fn++rsQ4sZzWMLP2dmZLl26kJiYyN13321rT0xMZMSIERUeo9PpcHKyD1mj0QDWmYFCCHG91K6umAGluNjWZtFZE36Bjz6Ka4sWAKjc3Er3FZc7R32iyzMA4O5T8RczDx8XRv2zG3nnigmOrtlZ0UIIIYQQQgghhBCibkq9oGPFjhS+3JFGdqEesK6Uc1vLEMbHR3FrsyDUapnNJ0Rd4tCSnrNmzWLChAl07dqVHj16sHjxYlJSUnjkkUcAaznOM2fO8NlnnwEwbNgwHnroIT744ANbSc+ZM2fSvXt3wsPDHflShBANhMq9NJF3acKvyLqul9rDw9amdnMv168+0uVZv7B5+DhX2sfFXUtwtMx8EkIIIYQQQgghhGjIzBaFTcezWLY1hQ3HsiibYxPs5cKYbpGM6R5FuK+bY4MUQlTKoQm/0aNHc/78eV566SXS09Np27Yta9asITo6GoD09HRSUlJs/SdNmkRBQQHvvfceTzzxBL6+vtx222289tprjnoJQogGxpbI0106w6+ChJ97ab/CwhsYXc3T5ZfO8POW0gtCCCGEEEIIIYQQN6OsghJW7kxj+bYUzuRevCbWq2kA4+OiGdA6BK1G7cAIhRBV4dCEH8C0adOYNm1ahfuWLFlSrm369OlMnz69lqMSQtysND4+AKRNm0aLPbtRu7lhKbKW9CxL8gE4hQQDYMzMvPFB1hDFolxS0rPyGX5CCCGEEEIIIYQQomFRFIU/T50nYVsKaw9mYLJYp/P5uGkZ2SWCsXFRxAZ5OjhKIcS1cHjCTwgh6hKn4GDb49yvV+F3/xh0W7cC9jP8tOGNALDk5WFITcU5MvLGBloDSnRGLKVf5ty9JeEnhBBCCCGEEEII0dDl6Yx8tTuNhG3JnDpXZGvvHOXLuLhohrYPw1WrcWCEQojqkoSfEEJcwikgwPbYotOR+erFksGXJvw0nhcfpz7yfzRZ/eONCbAGlc3uc/XQonGSsgxCCCGEEEIIIYQQDZGiKOxLy2PZ1mR+2HcWvckCgIezhrs6NWJcXDStw70dHKUQ4npJwk8IIS6hmM22x2o3N3I+//zi9iUlPS9lOHmy1uOqDUV5ekDKeQohhBBCCCGEEEI0RDqDie/2niVhWzIHz+Tb2luGejE+Ppq7OjXC00VSBEI0FPLXLIQQl3COjrY9thQV2u1Tu7vZbYc8/xyZL8/DuUmTGxJbTdPll67fJ+U8hRBCCCGEEEIIIRqMYxkFJGxL5pvdZyjQmwBwdlJzZ7swxsVH0znKF5VK5eAohRA1TRJ+QghxCd977ibjxRcByF35ld0+ja+v3bZb27YAKCUlNyS2mlZW0tPDx8XBkQghhBBCCCGEEEKI66E3mfn5YAbLtiaz43SOrT0mwJ1xcdHc1yUCPw+56VuIhkwSfkIIcQmVVkvQzMc4t+hfGM+csbVHfvyx3fp+ACo364w/Sz1N+ElJTyGEEEIIIYQQQoj6Lfl8Ecu3p7ByZxoXiqw3d2vUKga1DmFcXDQ9mwSgVstsPiFuBpLwE0KIy6i9vOy2VW5uePa+pXy/0oSfUlx8Q+KqaVLSUwghhBBCCCGEEKL+MZkt/HI0i4RtKfx2/JytPczHlTHdohjTPZIQb1cHRiiEcARJ+AkhxGU03t522yqttsJ+alfrFydLcTGKotS72udS0lMIIYQQQgghhBCi/sjIK2HFjhRWbE8lI99acUqlglubBTEuLorbWgbjpFE7OEohhKNIwk8IIS6j8fO327bk51fYT+Xmbn2gKCgGAyqX+pU4k5KeQgghhBBCCCGEEHWbxaLwx8lsEramkHgkE7NFAcDfw5lRXSMZ2z2KqAB3B0cphKgLJOEnhBCX0YaFVqmf2vVigs+i06GuZwk/KekphBBCCCGEEEIIUTflFBlYuSuV5dtSOH1eZ2vvHuPPuPgohrQNxcVJ48AIhRB1jST8hBDiMtrQqiX8VE5OqLRaFKMRpaSklqOqWUa9GWOJGZCSnkIIIYQQQgjR4CgKGIrQmPVgKAKl4qUqxA1gNMo41AX1ZBwURWFvai4rdqTy86EMDCYLAMEuTgzvEM6oblE0D/G0draUgMGBwVZHPRmHBk3GoOZp3a21desASfgJIcRl1B4eVe6rcndHycvDUly/En5l5TydnNVoXeVuMCGEEEIIIYRoUIw6tG9EcyfAfkcHc3PTgoxDHVBfxkEFdCr932tO2F+930+dj/9q6ss4NGQyBrXgn2fBuerXk2uTrOAphBAVcGnZEgCNnx+N3n2n0n5qV1cALMW6SvvURZeW81TVkTtQhBBCCCGEEEIIIYQQQlSPzPATQogKxKz4AnNODtqwsCv2U7tbF0W2FBXdiLBqjC7PmvCTcp5CCCGEEEII0QBp3TE+lczatesYPHgQWq2UbXMUo9Eo41AH1KVxKDGa+flgBit2prIvNdfWHhvowehuUYzoEI6Pe8P8b6UujcPNSsagFmjdHR2BjST8hBCiAmpXV9RXSfaBdQYgSUmYc3NrP6gapMu3lvR093F2cCRCCCGEEEIIIWqcSgXOHpg1LtYyY3JR13FURhmHuqAOjMOpc4Us35bCV7vTyNUZAdBq3BjcJpRxcdHEx/o3/CpMdWAcbnoyBg2aJPyEEOI6aPz8ADBfyHFwJNemKK+spKfM8BNCCCGEEEIIIYSoDUazhcTDmSRsS+aPv87b2hv5ujE2LopRXSMJ8pJrM0KImiEJPyGEuA4aP18AzLl1K+GXevQCnr4u+IVWvGCsLk9m+AkhhBBCCCGEEELUhrO5xXyxPYUVO1I5V2C9BqNSwW0tghkfH82tzYPQqBv4bD4hxA0nCT8hhLgOTqUz/C4kJBD4yCMOjsYq7VgO3y/ai6unlgkv98DZrfxHvS6/bA0/SfgJIYQQQgghhBBCXC+zReG3E+dI2JrMr0ezsCjW9kBPF8Z0i2RM90gi/OrOWl9CiIZH7egAhBCiXlNrADCfy8aQlubgYMBitrBp+TEASgqN7Ps1tcJ+UtJTCCGEEEIIcbOaM2cOKpXK7n+hoaG2/YqiMGfOHMLDw3Fzc6Nv374cOnTI7hx6vZ7p06cTGBiIh4cHw4cPJ60O/CYUQtx42YV63t/4F33e2MDkT3ew/og12dcjNoB/j+3Mln/cxpODW0iyTwhR62SGnxBCXAe3Du1tj83Z2RAR4cBo4PzZInIzdbbtvYkptOsbgauH/SK8UtJTCCGEEEIIcTNr06YN69evt21rNBrb49dff5233nqLJUuW0Lx5c+bNm8fAgQM5duwYXl5eAMycOZMffviBFStWEBAQwBNPPMGdd97Jrl277M4lhGiYFEVhe9IFlm1L4eeD6RjN1ul83q5O3NclkrFxUTQN9nRwlEKIm40k/IQQ4jp49u1re2wpLnZcIKWyTucD0KiFL0W5BnIzdZw9nktspyBbH4vZQnGhEQAPH5nhJ4QQQgghhLj5ODk52c3qK6MoCosWLeLZZ5/lnnvuAWDp0qWEhISwfPlyHn74YfLy8vjkk0/4/PPPGTBgAADLli0jMjKS9evXM3jw4AqfU6/Xo9frbdv5+dbfb0ajEaPRWNMv0XbO2ji3qDoZh7qhpsYhv9jIt/vS+WJ7Kn+dK7K1t4/wZmy3SO5oG4qbs6ZGnqshkr8Hx5MxqBuuNg7VHR9J+AkhxHVQqdW4tm9Pyf79dSPhl1IAQEiMN7oCI7mZOs6lFtgl/IoLjKBYF4t29dRWdiohhBBCCCGEaLBOnDhBeHg4Li4uxMXFMX/+fGJjY0lKSiIjI4NBgwbZ+rq4uNCnTx+2bNnCww8/zK5duzAajXZ9wsPDadu2LVu2bKk04bdgwQLmzp1brn3dunW4u9deqb/ExMRaO7eoOhmHuqG645BSCH9kqtmdrcJgUQHgrFboEqjQK8RCpOcFyLjAhox9NRlugyV/D44nY1A3VDYOOp2uwvarkYSfEEJcJ3XpDzNLUfU+iGtS2Qy/4GhvivIMHCWdjFN5dn0Kc0vLeXo7o1arbniMQgghhBBCCOFIcXFxfPbZZzRv3pzMzEzmzZtHz549OXToEBkZGQCEhITYHRMSEkJycjIAGRkZODs74+fnV65P2fEVmT17NrNmzbJt5+fnExkZyaBBg/D29q6pl2djNBpJTExk4MCBaLVys6ejyDjUDdUZB53BxOoDGXyxI40DZ/Jt7c2CPRjbPZIRHcLwcpUxvRby9+B4MgZ1w9XGoawKwLWShJ8QQlwntZsbAJbiKyf8FLMZ1GpUqtpJspmMZi6csZaTCIr2wt9oAeDsiVwMJSacXa0f+XlZ1ji9g9xqJQ4hhBBCCCGEqMtuv/122+N27drRo0cPmjRpwtKlS4mPjwco97tNUZSr/pa7Wh8XFxdcXMovq6DVamv1omttn19UjYxD3VCVcTiRWUDCthS+3p1GQYkJAGeNmjvahTIuPpqu0X61dm3nZiF/D44nY1A3VDYO1R0bSfgJIcR1Kkv4KVco6amYTCTdfQ9qLy+iE5bVyhfD7LRCLBYFNy8tXv6uAHj5u1JwoYTMpHwiW/kDkJtljdM3pPZKxgghhBBCCCFEfeHh4UG7du04ceIEd911F2CdxRcWFmbrk5WVZZv1FxoaisFgICcnx26WX1ZWFj179ryhsQshaobeZGbtoUyWbU1me9IFW3uUvzvj4qK4r0sEAZ7lE/ZCCFGXqB0dgBBC1Hdqj9KSnleorWxISUF/4gTFu3djqeaU7KvJTi0EICjKC5VKhUqlIrSJD4BdWc/cTGucvsGS8BNCCCGEEEIIvV7PkSNHCAsLo3HjxoSGhtqtqWMwGNi0aZMtmdelSxe0Wq1dn/T0dA4ePCgJPyHqmdQLOl77+Sg9F/zKjC/2sD3pAmoVDGodwmdTurPxyb483KeJJPuEEPWCzPATQojrpCor6amreIZf0ZYtpEyZats2nTuHxsenxuMoOF8CgM8libyQGG9O7MgkO63Q1lZW0tMnWEp6CiGEEEIIIW4+Tz75JMOGDSMqKoqsrCzmzZtHfn4+EydORKVSMXPmTObPn0+zZs1o1qwZ8+fPx93dnbFjxwLg4+PD1KlTeeKJJwgICMDf358nn3ySdu3aMWDAAAe/OiHE1ZgtChuOZrFsWzKbjp9DUaztId4ujOkWxZjukYT5yDUTIUT9Iwk/IYS4Tmq30hl+lZT0zFy40G7blJWFS9OmNR5HYa414efpe/GuM/9GHgCcP2NN+CmKcrGkp8zwE0IIIYQQQtyE0tLSuP/++8nOziYoKIj4+Hi2bt1KdHQ0AE8//TTFxcVMmzaNnJwc4uLiWLduHV5eXrZzvP322zg5OTFq1CiKi4vp378/S5YsQaPROOplCSGuIs8A/954iv/tTONsXomtvXezQMbFRTOgVTBOGimIJ4SovyThJ4QQ16lsDT9LccUlPZ0CAtFfsn1+6VLcu3VDVcML4xblWJ/F0+9iwi8g3BOAvHPFFBcaQAFDsXXBaZ8guVtNCCGEEEIIcfNZsWLFFferVCrmzJnDnDlzKu3j6urKu+++y7vvvlvD0QkhapKiKPx58jyf/XmadYc1WJS/APBz1zKyayRju0cRE+jh4CiFEKJmSMJPCCGuk9rTmlSzFBRWuN8pKMhuu2jTb1z4fBkBUybXaByFFST83L2dCYry4lxKAaf2nMM/zPol1tPfBSdnufNUCCGEEEIIIYQQDU+uzsBXu9JYvi2FU9lFpa0qOkf5MqFHNLe3DcNVK9dFhBANiyT8hBDiOml8fQEw5+ZWuN9SVFSurSAxsUYTfoqiUJhrTfh5+Lra7WvcIZBzKQWkHslBXVqaQsp5CiGEEEIIIYQQoiFRFIU9qbkkbE3hx/1n0ZssAHg4axjRMYyIktM8NLI72hquuCSEEHWFJPyEEOI6XTXhV1h+5p/K1aWCntWnLzJhNlq/yF66hh9Ao+Z+QBJnT+Tg5mX9UisJPyGEEEIIIYQQQjQERXoT3+49Q8LWFA6n59vaW4V5Mz4+ihEdG+GiVliz5rTjghRCiBtAEn5CCHGdyhJ++uPH0Z84gUuzZrZ9hZs2UfTHH+WOUbu4lmu7HoW51sWm3by0aLT2C0yHxHjjpFVTXGDk4KYzAMS0D6zR5xdCCCGEEEIIIYS4kY5m5LNsazLf7jlLod4EgIuTmjvbhzMuPopOkb6oVCoAjEajI0MVQogbQhJ+QghxncoSfgBnZs0i9ocfbNupDz9ie+w3YQI5n38OgEpbsx+/F9fvK59I1GjVRLTy5/T+bMCaFIxs5Vejzy+EEEIIIYQQQghR20qMZn46mM6yrSnsSs6xtccGejA2Lor7ukTg6+7swAiFEMJxJOEnhBDX6dKEn/7EX5X28+rf35bwM1dQ5vN6lCX8PHwrLhXa5/4WpP+Vi15nov1tkba1/IQQQgghhBBCCCHqutPZRSzfnsLKnank6Kyz9ZzUKga1CWF8XDQ9mgTYZvMJIcTNShJ+QghxndQeF9fDcwoLsz1WFMWunzaiEY3efYcz02dgycunJhXmWEt6evpVnPDz9HNh2PSOZKcV0KpXeI0+txDixjCZTLzyyitMmTKFyMhIR4cjhBBCCCGEELXKZLaw/kgmCdtS2Hwi29Ye7uPK/d2jGN0tkmDvml0yRQgh6jOZ4iGEENdJpVLhO3IkANrwi8k0Ra+3PQ6a+RjOERFog4IAMOfl1WgMRbaSnhUn/ABCGnvTpncj1Gq5402I+sjJyYk33ngDs9lc4+desGABKpWKmTNn1vi5hRBCCCGEEOJapOcV81bicXq99iuPLNvN5hPZqFTQr0UQ/3mgK5ufuY3p/ZtJsk8IIS4jM/yEEKIGeA0ZTO7KlVgKCmxtlqIi2+OAv/0NALW3DwDm/Bqe4ZdbmvCrpKSnEKJhGDBgABs3bmTSpEk1ds4dO3awePFi2rdvX2PnFEIIIYQQQohrYbEobP4rm4StyfxyNAuzxVo1KdDTmVFdI7m/exSR/u5XOYsQQtzcJOEnhBA1QOPpCYDlkrX5yhJ+Knd3VGrrhGqNrzXhZykoQDGbUWk0NfL8unwDAO7ekvAToiG7/fbbmT17NgcPHqRLly54eHjY7R8+fPg1na+wsJBx48bx8ccfM2/evCv21ev16C+ZuZxfeuOC0WjEaDRe0/NWRdk5a+PcompkDOoGGYe6QcahbpBxqBuuNg4yPkKIa3G+UM/KXWks35ZCygWdrT2usT/j4qMZ0iYUZycpUieEEFUhCT8hhKgBai8vAMylST5FUcj93/+s+y5Z409T2g+ss/yc/Pxq5PmLC60/ql29tDVyPiFE3fR///d/ALz11lvl9qlUqmsu9/noo48ydOhQBgwYcNWE34IFC5g7d2659nXr1uHuXnt32iYmJtbauUXVyBjUDTIOdYOMQ80rW/ZadUnVeZMFLr22a7JY92tK+/y0NhGLAs6l986ZLaC3gHvpFQ6LAvkGKCt+YbZAgRF8nK3n0ZuhxGzdBig0Wo/xLt0+X2I9l5sTGC1wrhhC3UGtsu4DCHC1nveMDsLdrfGeL7Ge398FdCY4q4PGXqACkgogxA08tZBdAmbFup1ngKxiFU28FQxmSC1SEe1pfVNOFqiI8VRwVsPpQmt/NydILrA+h7cznMxX4eus4O8Kx3JVhLgp+DjDkVwVkR4Kbk5wNNd6fgU4la+iha+Caw3cd1jZ34NOp6uwXQghyiiKws7kHBK2JrPmQAYGswUAL1cn7u0cwbi4KJqFeF3lLEIIIS4nCT8hhKgBao+LM/wURUG3fQfn//MJABr3izNwVNqLCbmMuS8Rsejt635uRVEoKU34uXk6X/f5hBB1l8ViqbFzrVixgt27d7Njx44q9Z89ezazZs2ybefn5xMZGcmgQYPw9vausbjKGI1GEhMTGThwIFqt3MzgCDIGdYOMQ93gyHEo1JvQqlW4aO0zNEazhR2ncwjydKFZiKfdvi0nz3Mss5ABrYKI9Lt4U8am4+fYdOI8tzQN4LYW1rWlTWYLn/6ZzIG0fIa1D2Ng62AAjmYU8K9f/sJJo+ax25rQNNiTQr2JV9Yc43B6PqO7RnB/twjMFoUFPx/n16NZ9GsZzD+HNMdkUXjuu8P8/td5BrQK4vmhrcjRGXj8f/s5klHA1J4x/L1fLGsPZ/HC94fRatS8Paod7cJ9ePSLvWz+6zyDWwfzxr3tWLY9hbfX/4Wvm5Y3723Djp07+OyUK0V6M48PaMrAVsFMXrqLM7kljO4awbQ+jZm8dDensosY2jaUR/vF8rdle0jLKea2FkFM6RXNo1/sJa/YxLjukXSI8OHFbw9hURReuLMVR9Lz+XLPGbxcnXhlRGv+te4EqTnFdI325d7OjZj/3WHMisK0PrH8ciSLo5mFNAnyoH/LIBbvOY1KBRPjo1hzNJOsAj3tI7xxddKw/XQOXq5O3NIkgJ8OZQLQt3kg20/noDOYaRrkwQWdgQtFRoK9XCg2mikoMeHl6oSbVkNWgR53Zw1+7lrO5Jag1agI9nLhTG4JKhVoNWoMJuv3BJXqYiLVxUmN3mRBrQK1SoXJouDspKZ30wDeHdMBrebaZ81c7e8hv4aXLxBCNBwFJUa+2XOGhK0pHMu8uCRK+wgfxsVFMaxDOO7OcrlaCCGqSz5BhRCiBmg8S5N6ZjMFa9diKbp4V6shObnCYwp+/hm4/oSfXmdCKa1t7+YpFwKFuFmUlJTg6lq9RepTU1N57LHHWLduXZXP4eLigotL+bLBWq22Vi9+1/b5xdXJGNQNMg51Q3XG4VhGAfvTcunVNJBwXze7fUV6E2+uO86hs3nc2jyIh2+Nxak0AWO2KLyy+gifbknCTathzvA2jOoaCUB2oZ6HPtvJnpRcAP7erylPDGqOSqXio00nWfDTUQAW/fIXn0/tTpdof1buTOWpr/YD8PnWFOYMa83EnjG88MNBvtieAsBPhzL599jOtAj1YsKnO8nVWW8q252Sy8pHevDctwfZfCIbgBd/OIIFFSeyClm+LcV23oISE4V6M+uPWJNaX+48Q2aBgYy8Eo5mWC/uvrPhJPvP5rPlr/O2WR0PfraHUB9XkrKtFTPWHs5i/dFfbWs4nSs08MDSPVgvY5gAeGPdCd5Yd8L2fn65M40vd6bZtlcfzGD1wQzb9q/HzvHrsXO27YTtqSRsT7Vtz/nhiO1xQYmJGV/ut23vTM5lZ3KubfvfG0/ZHp88V8TJc2WVPmDJnym2ffvTLia/CkpMtmQfwMbj2bbHf527uP53VoHe7piCEuvr1RnM6AzW2fxGs8KZ3BLbc5Yl+8q2y+hL2y0KWEp3GEwWfjl6jj9O5TKwdQjVVdnfg3xWCSEud/BMHgnbkvlu71nb55irVs2IDo0YFx9F+whfxwYohBANhBRAFkKIGqC6pJzdmZmPo5hMtm2Xli1r9bnLZvdpXTVotPKxLkRDZjabefnll2nUqBGenp6cOmW92Pj888/zySefVPk8u3btIisriy5duuDk5ISTkxObNm3inXfewcnJ6ZpLgwohxM3IYLLw3q8nGPnhFl747iBZBSXl+vxr/QmG/Os3nvpqP30XbmTNgXTbvhKjmfGfbOO/fySxLekCb6w9xsOf78JYmgB7ZfUR/vtHEopiTfQ8/dV+vtt7BqPZwswVe23JPoD3NvzF62uP8f2+s7ZkX7CXCzqDmUmf7mDO94f4x6oDAMQGWm9Ue+nHwwxZtJkvtqegUkGnKF8AHl2+mwFvbSJXZ6RVmDexgR5kFejp88ZGNp/IxlWrZmi7MADm/nCY5dusx9/XJQKNWsW3e8+y/kgmzho1U3o1RqWCjcfOcTSjgAAPZx7oEQ1Y2wxmC72bBRIf60+x0UxSdhGuWjVPDW6Bk1plS/b97dZYOkb62l5vtxg/JveKsW03CfJg9u0Xv3MHe7kw/+52aEtrgIb5uLJodEecS5OpnaJ8ef7O1rYyovd0bsSEeGtcahU8N7QVXaOtpfdjgzz4YFxnfNysSawJ8dE8fGssABF+bnwysSuR/m6oVNbE69RbGqNWQfMQTz5+oCuh3q74ezjzzv2d6NsiCFetmhm3NeXxAc3xcnWiT/MgPpnYlUBPZ7rH+PP933vRPcaflqFeLJ3SnVubB9G2kTefTenO0PZhdIz05cPxXbi/e5Td49Zh3nw+tTtjukXSOcqX5Q/FcU+nRvRrEcSXf4tnaLsw7u7UiO8e7cXgNiE80COaxoH2awELIURNKjaYWbkzlRH//oM73/2dL7anWmc0B3syZ1hrtv1zAK/d116SfUIIUYNkhp8QQtQA1aWLjgDn3nnH9jj0hRfs9rm0bIn+6NEae+5iWzlPuZNWiIbulVdeYenSpbz++us89NBDtvZ27drx9ttvM3Xq1Cqdp3///hw4cMCubfLkybRs2ZJnnnkGjaYGFvYRQoh6ymJR+Gp3Gt/uOUO4rxsP9Y4lNsB+NrTZovD4l3tZXZrA23E6h99PZPPV//XE38NaYv1/O1N5e/1xAMJ9XDmbV8LML/cS7utGhwgf5q0+zJ6UXHzctNzdqRErdqTwy9EsZnyxh1Zh3vz3jyQA3hrVgf1peSzZcpqZX+5l0foTtsTYt4/24s+T55n7w2E+2HjSFt+UXo15cnBzJv53OztO57Bky2kA7u7UiDdHduAfq/bzv51ptnJqz97Rism9GvPIsl0kHrbOQGsc6MGyqd3Rmyzc+8EW0vNKcNao+XB8F/o0D6LRT24s/u0ULk5q/nlHKyb2jKFX0wCe++YgKpWK1+9rzx3twoiL9eeZr/cT6efOgnva0baRD40DPVi5M41uMX7MvqMVBrOFhWuPcSanmIdujSU+NoCu0X58sT2FFqHePNInlkK9if/8dpIDR0/w9oROeLu70i3Gn8Nn83mgRzTB3q50jfHjQFoet7cLI8TblW4xfuxLy2NAq2B83Z1pF+HD3pRchrYPw1WroU/zIPKKDXSOsib3xsdH4+6sIdLfncm9GrM3NZcWoV54ujjRt0Uw2YV6Iv3dbX0DPJ1xd3bitpbBFOpNeLlav48/Mag5zho1Tho1/VtaS6Sq1SqGdwi3++/osQHNbI93PjfQ9vh/j/SwPe7TPMj2+NZLHg9pG1rh497NLvbp2STQ9jguNsD2+KMJXRFCiNryV+nM7692pZJfOkNZq1ExpG0Y4+Oi6N7Yv9w1FCGEEDVDEn5CCFELzOfPA+A7ejTunTvZ7Yt49x1ODhwETk4oinLdX3SLCwwAuMr6fUI0eJ999hmLFy+mf//+PPLII7b29u3bc/QabiTw8vKibdu2dm0eHh4EBASUaxdCiIbEYLKg1aiu+P1r9qoDfLnzYpnHtYcy+Nfo9nZ9Xvv5KKsPpOOsUTO1d2O+3XOGU9lFTF26g+UPxnP6fBEv/XAYgEf6NOHpwS342+c7WX8ki3Efb6V1uDc7TucA8Pp97RncJpQ+zYN46LOd/HQwg59Ky1DOGticezpHMKxDOOcK9azen05SdhEatYr37u9My1BvWoZ6owLmlD7f3Z0a8ezQVmjUKj6Z1I0n/7ePPam53NYimJfvaotareKVu9vRMtSbjcfPcW/nRozo2AiAD8d3IfFwBsczCxkfH21LXq59/FZ2nr5As2AvW8Lrn3e04t7OEQR7ueBX2u/uThEMa29NapWVJh3cJpTBbS4mpAAm92rM5F6NbduuWg0vjbD/9ycuNsAuSeXlquXv/ZqwpvgY7s5OqFQq7mgXxh2lsw0BukT70yXa37bdLMSLZiFetu0mQZ40Cbq43mHTYPu1D1uEXuyrUavoUjrLD8CtNBFY5tLHKpXKluwD7NafUqvlorYQouEzmCysO5xBwtYU/jx13tYe4efG2LgoRnWNJNCz/PIAQgghapYk/IQQohapPcuXydH4lV44MJlQ9HpU1VyDq0xZSU83L5nhJ0RDd+bMGZo2bVqu3WKxYDQaHRCREELUD2dzi/nnNwf47fg5Ggd68NzQ1vQrnXl1qc/+PG1L9j14S2P+OHmeI+n5zPrfAaa1sPZJPJzJfzZbSyq/PbojQ9uHcW/nRtz7wZ/sScml1Qs/287XLcaPpwe3QK1WsWhMJ8Ys/pODZ/Jtyb6nh7SwJcP6tQzmzVEdeGrlfgxmC9P6NmH6bdbPfK1GzaLRHenZJIDT2UUMbhNK15iLia1JvRrTrbE/7s5OdmUavV21LH6g/GwurUbNlFsaM+WWxnbtGrV1BsaQy+798HbVclvL8mu9XZogK1OW6BNCCNHwpeXo+GJ7Cl/uSCO70Lr+qFoFt7UMYVx8FH2aBcmND0IIcQNJwk8IIWqISqtFueyCu8bTs1w/9SXr/VkKC1FfZ8KvuNA6w8/NQxJ+DYmiKJhMJllL7TJGoxEnJydKSkqq9d5otdp6Xa6yTZs2bN68mejoaLv2lStX0qlTp0qOqpqNGzde1/FCCFFXJWUXMfbjraTnWdfYO3muiMlLdvD8na2ZeknCK+W8jvlrjgDw5KDm/P22ZpQYzYz66E/2p+Xx1gENG/J3si8tD4sC93RqxND21tllTYO9+GhCFx5ZtotcnfX7YMdIX/4zsZvtQqenixOr/q8X/97wF2dzixnQOoRBre2TaCM6NuLO9uGYLBZcnOz/vdJq1IyLs//8v1SbcJ/rfKeEEEKIqzNbFDYdz2LZ1hQ2HMtCsS63SpCXC/d3i2R09yga+bo5NkghhLhJScJPCCFqSNR/PyF5wgN2bWqP8jP8VGo1ag8PLEVFWAoLITCwXJ9rUbaGn6uXlPRsKAwGA+np6eh0OkeHUucoikJoaCipqanVKoerUqmIiIjAs4JkfH3w4osvMmHCBM6cOYPFYmHVqlUcO3aMzz77jB9//NHR4QkhRJ1jtig88/V+0vNKaBzowayBzdl47Bxf707j5R8P4+um5d4uERQbzExasp0So4UesQE82s86s85Vq+HTSd0Ys/hPTmQV8eepCwB0iPTltfvsy3zGxwbw4/Rb+GJ7CtH+HgxtH4aHi/1PbmcnNY8PbH7FmDVqFRp1/b05RQghRMOUVVDCyp1pLN+WwpncYlt7r6YBjI+LZkDrELQyy1sIIRxKEn5CCFFD3Lt1w2/cOHISEmxtppycCvuqPT2xFBVhLiy67uctKSgt6ekpM/waAovFQlJSEhqNhvDwcJydnWVB80tYLBYKCwvx9PRErb62H5OKonDu3DnS0tJo1qxZvZzpN2zYML788kvmz5+PSqXihRdeoHPnzvzwww8MHDjQ0eEJIcQNk3Jex8pdqcQEeDCoTYjd+mmXeueXE2xPuoCzRs1nU7oT6e/OHe3C0GpUrNiRyhMr9/HdvrMcTc8nq0BPkJcLr9/X3u7f3gBPF5ZN6cbspb9yVvHh7k6NmNQrpsKLmhF+7jw1uGWtvW4hhBDiRlIUha2nLrBsWzJrD2Zgslin8/m4aRnZJYKxcVHEBtXPmymFEKIhkoSfEELUIG14mN22z7DhFfZTe3pCZqZ1ht91ss3wk4Rfg2AwGLBYLERGRuJ+SflXYWWxWDAYDLi6ul5zwg8gKCiI06dPYzQa62XCD2Dw4MEMHjzY0WEIIYTD/HvDX7y57hil1xzx+VHLB+M607OpfdWEtBwdH/12EoB5d7Ul0t/676pGrWLeXW0xmhW+3p3Gb8fPAdbZd6/f197W71L+Hs6MiLFwxx090GrlO5cQQoiGLU9n5OvdaSRsS+bkuYs3KneK8mV8XDRD24fhqq2fv6eEEKIhk4SfEELUII2fv+1xy/37UDlXXGZT7Wkt9Wkpuv6EX0nZGn6S8GtQqpPMElfXUGZL7ty5kyNHjqBSqWjVqhVdunRxdEhCCHFDfLE9hTfWHrNtO2vU5BUbeeC/21kyuTu3NLMm/cwWhQeX7qTEaKF7jD8ju0bYncdJo2bhyPa0Dvdm9f6zhPq48vTglsQEli/HLoQQQtwMFEVhf1oey7Ym88P+s5QYLQC4O2u4q1MjxsVFyXqxQghRx0nCTwghapBHXHfrAyenSpN9ABoPa8mLmpjhV1JUNsNP1vAToqFLS0vj/vvv548//sDX1xeA3NxcevbsyRdffEFkZKRjAxRCiFqUlqPjxe8OATCmWySv3tuerIISJvxnO8cyCxj/yTbGxkUxs38z5v54mKMZBXi5OvHGyPYV3vChUqmYektjpt7S+Ea/FCGEEKLO0BlMfL/3LMu2JXPwTL6tvWWoF+Pio7mrY3ilpbOFEELULZLwE0KIGqRt1IjG33+HxufKd72pPa0JP3NRDazhVyhr+Alxs5gyZQpGo5EjR47QokULAI4dO8aUKVOYOnUq69atc3CEQghROywWhZd+OIzBbKFbjB/z724HQLCXK9882pOZK/ay7nAmy7elsHxbiu24f9zekugAmbUnhBBCXO54ZgEJW5NZtfsMBXoTYC1vPbRdGOPjo+gc5ddgKqQIIcTNQhJ+QghRw1ybN79qn7KEn6Xw+hJ+ZpMFQ4nZ+ryS8BOiwdu8eTNbtmyxJfsAWrRowbvvvkuvXr0cGJkQQtSu9UcyWXc4E41axQt3tkGtvngB0t3ZiXfHdmLej0dYtTuNIoP1u9EH4zpze7uwyk4phBBC3HT0JjM/H8wgYWsK209fsLVHB7gzLi6K+7pE4u8h1YOEEKK+koSfEEI4gG0Nv+ss6VlWzlOlAhc3+UgXjrVx40YmTZrE6dOnHR1KgxUVFYXRaCzXbjKZaNSokQMiEkKI2mc0W/hg00kAJvWMoV1E+UoKLk4aXr6rLbMGNuevc4XEBnoQ4Olyo0MVQggh6qSU8zoStiezcmcaF4oMAGjUKga2CmFcfBS9mgTa3UwjhBCiflI7OgAhhLgZaTxrZg2/snKeLh5aVPLlXNQxOTk5TJgwAR8fH3x8fJgwYQK5ublVPv7hhx9GpVKxaNGiWouxvnn99deZPn06O3fuRFEUAHbu3Mljjz3GwoULHRydEEJcO53BhMWiXLHP0i2n2ZOSi4ezhok9Yq7Y18/DmW4x/pLsE0IIcdMzmS2sO5TBA//dzq1vbOCjTae4UGQg1NuVxwc0549nbuPDCV3o3SxIkn1CCNFAyHQQIYRwALWHNeGXs3w5oS88X+3zyPp9NwdFUSg2mm/487ppNde1ZsPYsWNJS0vj559/BuBvf/sbEyZM4Icffrjqsd9++y3btm0jPDy83L7U1FTatGlT7bjqGz8/+7UzioqKiIuLw8nJ+jXOZDLh5OTElClTuOuuuxwUpRBCXJt9qbm8svqIrZxYs2BPPhjfhabBnnb9sgpKeCvxOADPDm1NVID7DY9VCCGEqE8y80tYsT2VFTtSSM8rsbXf2jyI8XFR3NYyGCeNzAERQoiGSBJ+QgjhACrXi3ed60+dwiU2tlrnKS5N+Mn6fQ1bsdFM6xfW3vDnPfzSYNydq/dV4ciRI/z8889s3bqVuLg4AD7++GN69OjBsWPH7Nagu9yZM2f4+9//ztq1axk6dGi5/dOmTSMnJ4eJEycyfvx4wsIa9vpMMsNRCNHQpJzXMfLDPzGYLba2E1mFjHjvd+aOaMu9nRuhUqlQFIXHv9yLzmAmyMuFe7tI6WIhhBCiIhaLwh8ns0nYmkLikUzMpbPn/T2cGdk1grHdo4gO8HBwlEIIIWqbJPyEEMIBPEoTIADmnJxqn6dsDT9XD0n4ibrlzz//xMfHx5bsA4iPj8fHx4ctW7ZUmvCzWCxMmDCBp556qtJZfJ9++imrV6/m888/Z/bs2QwaNIiJEycyYsQIXF1da+X1ONLEiRMdHYIQQtSYC0UGHl62y5bse2Jgc84XGViy5TRFBjNPrtzHd3vP0K9FMG+uO0aRwYxGrWLxhC64OGkcHL0Q4ka75557rvmYDz/8kODg4FqIRoi6J6fIwFe70kjYlszp8zpbe7cYP8bHRzOkbaj8+ymEEDcRSfgJIYQDuDRtikuLFuiPHcOi0139gEqUFFoX25YZfg2bm1bD4ZcGO+R5qysjI6PCCy3BwcFkZGRUetxrr72Gk5MTM2bMqLRPYGAg06dP57HHHuPIkSMsXbqUJ598kkceeYTRo0czadIk4uPjqx17fZCVlUVWVhYWi8WuvX379g6KSAghqub9DX9xJD2fQE8XVvwt3lbC8//6NuGe97dwJreYzSey2Xwi23bMU4Nb0CnKz1EhCyEc6Ntvv2XUqFG4ublVqf/y5cspLCyUhJ9o0BRFYXdKDglbU/jxQDoGk/U3gaeLE/d0bsS4uGhahHo5OEohhBCOIAk/IYRwELWX9QKXpaio2uewlfSUGX4NmkqlqnZpTUeqaP0/RVEqXRdw165d/Otf/2L37t1VXjuwVatWvPrqq8yfP5+FCxfy3HPPsWLFCnJzc68n9Dpr165dTJw4kSNHjqAoit0+lUqF2Xzj13oUQoiqSs8rZuWuNABeubut3Xp9Id6ubHiyL0u3nObfG/8iV2fE38OZxwc0Y0KPGAdFLISoC955550qJ/C++uqrWo5GCMcp1Jv4Zs8ZErYmczSjwNbeJtyb8fHRDO8QjodL/fvdKIQQoubIvwJCCOEgag9r/fzrSfiVlCb83DydayQmIWpKaGgomZmZ5drPnTtHSEhIhcds3ryZrKwsoqKibG1ms5knnniCRYsWcfr06XLHpKamkpCQwOeff05SUhIjR45k8uTJNfY66prJkyfTvHlzPvnkE0JCQqqcGBVCiLpg3uoj5BUbaR7iSd8WQeX2OzupeejWWCb0iMZkUfCUi5ZC3PQ2bNiAv79/lfv/9NNPNGok632KhuXw2XwStiXz7Z4zFBmsN/i5OKkZ1iGc8fHRdIjwkd8FQgghgDqQ8Hv//fd54403SE9Pp02bNixatIjevXtX2l+v1/PSSy+xbNkyMjIyiIiI4Nlnn2XKlCk3MGohhLh+mhpI+JXN8HPzkhl+om7p0aMHeXl5bN++ne7duwOwbds28vLy6NmzZ4XHTJgwgQEDBti1DR48mAkTJtgl8QoKCli1ahUJCQls3LiRnj178vjjjzNq1Ci8vb1r70XVAUlJSaxatYqmTZs6OhQhhLgmOUUGfj5oLem8aHSnK64n5HodJaWFEA1Lnz59rqn/LbfcUkuRCHFjlRjNrN6fTsK2ZHan5NraY4M8GBcXzX2dI/Bxl+sAQggh7Dk04ffll18yc+ZM3n//fXr16sVHH33E7bffzuHDh+3u7r/UqFGjyMzM5JNPPqFp06ZkZWVhMplucORCCHH9amKGX3GBrOEn6qZWrVoxZMgQHnroIT766CMA/va3v3HnnXfSokWLCo8JCAggICDArk2r1RIaGmp3zPjx40lJSWHChAksXryYJk2a1N4LqWP69+/Pvn37JOEnhKh33ko8jtmi0DLUi9bhDfvmDCFE7bjtttvo06cPL774ol17Tk4O9957L7/++quDIhOi5iRlF5GwNZmvdqeRq7Pe4OukVjG4bSjj4qLoERsgs/mEEEJUyqEJv7feeoupU6fy4IMPArBo0SLWrl3LBx98wIIFC8r1//nnn9m0aROnTp2ylXSIiYm5kSELIUSNUbtLSU/RsCUkJDBjxgwGDRoEwPDhw3nvvffs+sTExDBp0iTmzJlT5fMuXLiQzp07o9HcfDNA/vOf/zBx4kQOHjxI27Zt0Wrtk/3Dhw93UGRCCFG5C0UGvtieAsCj/eSGBSFE9WzcuJEDBw6wZ88eEhIS8Ci9gdJgMLBp0yYHRydE9RnNFtYfzmTZtmT++Ou8rb2Rrxtj46IY2TWCYC9XB0YohBCivnBYws9gMLBr1y7+8Y9/2LUPGjSILVu2VHjM999/T9euXXn99df5/PPP8fDwYPjw4bz88su4ublVeIxer0ev19u28/PzATAajRiNxhp6NdjOeen/CyHElShu1i/sxoKCSj83rvS5oiiKraSnk6tKPnsaCKPRiKIoWCwWLBaLo8O5JmXxlv2/r68vn332WaX9iouLyczMpHfv3pW+1lOnTtkdoygKzZo1s2u71hgVRcFoNJZLGNaHv6EtW7bw+++/89NPP5Xbp1KpMJvNDohKCCGu7Pu9ZzBZFNo28mZYh3BHhyOEqMfWr1/Pww8/THx8PD/88IPcBC7qtbO5xazYnsKKHalkFVivXapU0K9FMOPjo+jTPBiNWmbzCSGEqDqHJfyys7Mxm82EhITYtYeEhJCRkVHhMadOneL333/H1dWVb775huzsbKZNm8aFCxf473//W+ExCxYsYO7cueXa161bh7u7+/W/kAokJibWynmFEA2LX0oqQUDa8RPsXLPmin0r+lyxmMBs9ALgty2/onb4qqyiJjg5OREaGkphYSEGg8HR4VwTnU6HxWKx3VxzNevXr6d379506dKlyseUKSgoqE6IGAwGiouL+e2338qVBNfpdNU65400Y8YMJkyYwPPPP1/uO5QQQtRFZ3OLeX3tMQDu6RTh4GiEEPVdWFgYmzZtYsqUKXTr1o2VK1fSqlUrR4clRJVZLAqbTpwjYWsKvx7NxKJY2wM9nRndLZL7u0cR4Vc71yuFEEI0fA6/PHx53WlFUSqtRW2xWFCpVCQkJODj4wNYy4Led999/Pvf/65wlt/s2bOZNWuWbTs/P5/IyEgGDRqEt3fNrh1hNBpJTExk4MCB5UpsCSHE5fIKizi3Zg1hvr50vuOOCvtc6XMlP7uEFYk70DipGDrsdqnj30CUlJSQmpqKp6cnrq71q2yLu7s7arW6yv++3nPPPdxzzz3X9ByKolBQUICXl1e1/psvKSnBzc2NW2+9tdz7e61JR0c4f/48jz/+uCT7hBD1xoodqegMZsJ9XLmvqyT8hBDVV/bdz8XFhYSEBObNm8eQIUN45plnHByZEFdXYISPfkviy11ppF4otrX3iA1gXHwUg1qH4uykdmCEQgghGgKHJfwCAwPRaDTlZvNlZWVVehErLCyMRo0a2ZJ9AK1atUJRFNLS0mwlvi7l4uKCi4tLuXatVltrSbnaPLcQouHQliZFlJLiq35mVPS5YtJbfyS4eTnj7Cxr+DUUZrMZlUqFWq1Gra5fP/hiY2OZOXNmrcZdVsaz7D26Vmq1GpVKVeHfVH34t/uee+5hw4YNNGnSxNGhCCFucmk5OkqMFrIL9cTHBlTY56+sAv694S8Anh7SEm/Xuv85K4SouxRFsdt+7rnnaNWqFRMnTnRQREJcmaIobE+6wGd/nubngxrMygkAvF2duK9LJGPjomga7OngKIUQQjQk1Ur4LVmyhFGjRl1XSUxnZ2e6dOlCYmIid999t609MTGRESNGVHhMr169WLlyJYWFhXh6Wv9BPH78OGq1mogIuVtUCFG/qEsXmbcUVa+MYHGBtdyjq6dcPBN1Q0xMDDNnznR0GA1a8+bNmT17Nr///jvt2rUrl6ScMWOGgyITQtxMDp7J4853f7dr+3B8Z4a0DbNr+8fXBzBbFIK9XBjSNvRGhiiEaICSkpIIDAy0a7v33ntp0aIFu3btclBUQpSXX2Jk1a40EralcCKrsLRVRfsIb8bHxzCsfThuzpornkMIIYSojmol/GbPns2MGTMYOXIkU6dOpWfPntV68lmzZjFhwgS6du1Kjx49WLx4MSkpKTzyyCO25zlz5gyfffYZAGPHjuXll19m8uTJzJ07l+zsbJ566immTJlSYTlPIYSoyy4m/IqqdXxJoREAN0n4CXHT+M9//oOnpyebNm1i06ZNdvtUKpUk/IQQte6zP0/zwneHyrU/smw3zYI9WTiyA0FeLvzzmwPsTM4B4IPxXXDVyoVNIcT1iY6OrrC9bdu2tG3b9gZHI0R5B9LyWLY1me/3naXYaAbATathWPtQogzJPDwqvl5UFRFCCFF/VSvhl5aWxurVq1myZAn9+vWjcePGTJ48mYkTJxIaWvU7N0ePHs358+d56aWXSE9Pp23btqxZs8b2JS49PZ2UlBRbf09PTxITE5k+fTpdu3YlICCAUaNGMW/evOq8DCGEcKjrTfgVlyb8XD2lnKcQN4ukpCRHhyCEuImZzBY+2nTKtv3yiDboDGYW/HQUgBNZhYz49x92x9zfPZIu0X43NE4hRMNS1TWfV61aVcuRCFFescHMD/vOsmxbMvvT8mztzUM8GRcXzd2dG+GmgTVrkh0YpRBCiJtFtRJ+Go2G4cOHM3z4cLKysli2bBlLlizh+eefZ8iQIUydOpVhw4ZVaW2dadOmMW3atAr3LVmypFxby5YtSUxMrE7YQghRp6g9rGWRq53wKy3p6e4lCT8hhBBC1C5FUXhk2W7O5FrXEN77wkB83a3fQe7pHMGi9cdJ2JZid0y/FkHMu6vdDY9VCNGw+Pj42G0vX76cYcOG4eXl5aCIhLCuU7tsawpf706joMQEgLNGze3tQhkXF023GD9UKhUARqPRkaEKIYS4iVQr4Xep4OBgevXqxbFjxzh+/DgHDhxg0qRJ+Pr68umnn9K3b98aCFMIIRoetfvFGX6Koth+DFRVWcLPzVtKgghxs5gyZcoV9//3v/+9QZEIIW42h9PzWX8kE4APx3exJfsAgrxceOXudjzUO5afDmaQX2Kkf8tgukT7XfP3GyGEuNynn35qt/3VV1/x+uuvExsb66CIxM3KYLKw9lAGy7Ymsy3pgq09yt+dsXFRjOwSQYCniwMjFEIIcbO7+hS8SmRmZrJw4ULatGlD3759yc/P58cffyQpKYmzZ89yzz33MHHixJqMVQghGpSykp5YLFgKCq75+OKC0jX8ZIafEDeNnJwcu/9lZWXx66+/smrVKnJzcx0dnhCiAft+31kAbmsZzJC2FS/jEBPowf/1bcIzQ1rSNcZfkn1CiHpjwYIFqFQqZs6caWtTFIU5c+YQHh6Om5sbffv25dAh+zVM9Xo906dPJzAwEA8PD4YPH05aWtoNjl7UttQLOl7/+Sg9X/2F6V/sYVvSBdQqGNg6hKVTurPxyb480qeJJPuEEEI4XLVm+A0bNoy1a9fSvHlzHnroIR544AH8/f1t+93c3HjiiSd4++23ayxQIYRoaNTubrbHF5YsIWjGjGs63jbDTxJ+oo7YuHEjkyZN4vTp044OpcH65ptvyrVZLBamTZsmd7kLIWrNlpPZLP7NunbfqK6RDo5GCCFq1o4dO1i8eDHt27e3a3/99dd56623WLJkCc2bN2fevHkMHDiQY8eO2cqJzpw5kx9++IEVK1YQEBDAE088wZ133smuXbvQaDSOeDmihpgtChuOZpGwLZmNx8+hKNb2YC8XxnSP4v7ukYT5uF35JEIIIcQNVq0ZfsHBwWzatImDBw8yc+ZMu2RfmbCwMJKSkq47QCGEaKhUajUaPz8ATOcvXKV3eTpZw0/Uca+88go9e/bE3d0dX1/fKh0zZ84cWrZsiYeHB35+fgwYMIBt27bVbqD1nFqt5vHHH5cbrYQQtebbPWdQFBjcJoTBbUIcHY4QQtSYwsJCxo0bx8cff4xf6W8zsM7uW7RoEc8++yz33HMPbdu2ZenSpeh0OpYvXw5AXl4en3zyCW+++SYDBgygU6dOLFu2jAMHDrB+/XpHvSRxnbIKSnj3lxP0fu1XHvxsJxuOWZN9vZsF8uH4zvzxj9uYNbC5JPuEEELUSdWa4denTx86d+5crt1gMLBixQoeeOABVCoV0dHR1x2gEEI0ZAEP/42sV1/DotNd03GKolCcX1bSU9bwE3WTwWBg5MiR9OjRg08++aRKxzRv3pz33nuP2NhYiouLefvttxk0aBB//fUXQUFBAKSmptKmTZvaDL3eOXnyJCaTydFhCCEaIIPJwuYT2QCM6RYlZTqFEDfc999/b7dtsVj45ZdfOHjwoF378OHDr/ncjz76KEOHDmXAgAHMmzfP1p6UlERGRgaDBg2ytbm4uNCnTx+2bNnCww8/zK5duzAajXZ9wsPDadu2LVu2bGHw4MHlnk+v16PX623b+fn5ABiNRoxG4zXHfzVl56yNczckiqKwNekCy7ensf5IFiaLdTqfr5uWezuHM6ZbBDEBZUtymDFazNd0fhmHukHGoW6QcXA8GYO64WrjUN3xqVbCb/LkyQwZMoTg4GC79oKCAiZPnswDDzxQrWCEEOJmo3ZzB7jmhJ+xxIzZZAGkpOdNQVHAeG3/jdQIrTtcx4XduXPnArBkyZIqHzN27Fi77bfeeotPPvmE/fv3079/fwCmTZtGTk4OEydOZPz48YSFhVU7xvpm1qxZdtuKopCens7q1atl7WQhRK2Yv+YI6XklBHg4071x+couQghR2+66665ybQ8//LDdtkqlwmy+tiTMihUr2L17Nzt27Ci3LyMjA4CQEPtZzSEhISQnJ9v6ODs7280MLOtTdvzlFixYYPuOfKl169bh7u5+TfFfi8TExFo7d31WZITt51RsyVSTVXLxd09jL4VeIRY6BpjQWk5yeNtJDtfA88k41A0yDnWDjIPjyRjUDZWNg+4arxWXqVbCT1GUCu/sTEtLw8fHp1qBCCHEzUhd+qNOKb62D/Gycp5OLhq0LrI2RINn1MH88Bv/vP88C84eN/55SxkMBhYvXoyPjw8dOnSwtX/66aesXr2azz//nNmzZzNo0CAmTpzIiBEjcHV1dVi8N8KePXvsttVqNUFBQbz55ptMmTLFQVEJIRoqvcnMF9tTAJh3V1s8XKr181EIIa6LxWKp8XOmpqby2GOPsW7duit+f7z82ldl18Oq2mf27Nl2N3Dl5+cTGRnJoEGD8Pb2voZXUDVGo5HExEQGDhyIViuVYcA6PvvS8li+I401BzLQl95I6+GsYUTHMO7vFknLUK8afU4Zh7pBxqFukHFwPBmDuuFq41BWBeBaXdMvtk6dOqFSqVCpVPTv3x8np4uHm81mkpKSGDJkSLUCEUKIm5Hao3SGX9G1JfyKC6zTut2lnKdogH788UfGjBmDTqcjLCyMxMREAgMDbfsDAwOZPn06jz32GEeOHGHp0qU8+eSTPPLII4wePZpJkyYRHx/vwFdQezZs2ODoEIQQDcDhs/nsT8slNUfH9Nua4aqt+Oah309kozdZCPR0Zkjb0BscpRBC1J5du3aRlZVFly5dbG1ms5nffvuN9957j2PHjgHWWXyXVpPIysqyzfoLDQ3FYDCQk5NjN8svKyuLnj17Vvi8Li4uuLi4lGvXarW1etG1ts9fHxTpTXy39yzLtiZzOP3iRdRWYd6Mj49iRMdGeNbyjS0yDnWDjEPdIOPgeDIGdUNl41Ddsbmmf8nKyijs3buXwYMH4+npadvn7OxMTEwM9957b7UCEUKIm5HazbrQ97WW9CwuneEn5TxvElp362w7RzyvA/Tr14+9e/eSnZ3Nxx9/zKhRo9i2bVu5UuIArVq14tVXX2X+/PksXLiQ5557jhUrVpCbm3vjAxdCiHpgV/IF7v3gT9v2vzec5NV72jGme5Rdv9QLOh5bsReA/i1DZO0+IYRDfP/999x+++1Vvui1Zs0a+vXrh1vp76zK9O/fnwMHDti1TZ48mZYtW/LMM88QGxtLaGgoiYmJdOrUCbBWn9i0aROvvfYaAF26dEGr1ZKYmMioUaMASE9P5+DBg7z++uvX+lJFLTmakU/C1hS+2XOGQr11zWtnJzV3tg9jXFw0naN85d84IYQQDcY1JfxefPFFAGJiYhg9enSDL5slhBC1raykpyT8xBWpVA4trXmjeXh40LRpU5o2bUp8fDzNmjXjk08+Yfbs2eX6pqamkpCQwOeff05SUhIjR45k8uTJDoj6xsjMzOTJJ5/kl19+ISsrC0VR7PZf69o1Qoibyy9HMvm/hN3l2v+x6gBHMwp4cVhr20XPFTtSKNSbiA3y4Lk7W93oUIUQAoC7776bjIwMgoKCqtR/zJgx7N27l9jY2Cv28/Lyom3btnZtHh4eBAQE2NpnzpzJ/PnzadasGc2aNWP+/Pm4u7vb1pz28fFh6tSpPPHEEwQEBODv78+TTz5Ju3btGDBgQDVeragpJUYzPx1MJ2FrCjuTc2ztjQM9GBcXxb2dI/DzkN/SQgghGp5qzVWfOHFiTcchhBA3JVvCr7j4mo7T5VsTflLSU9wMFEVBr9fbtgsKCli1ahUJCQls3LiRnj178vjjjzNq1KhaWfukLpk0aRIpKSk8//zzhIWFyd3IQohr8vb64xhK1yp6aUQbsvL1vLfhLwCWbDnN1lPneXNUB77edYb//pEEwKSeMXi5yvcNIYRjKIrCpEmTKiyDWZGSkpIae+6nn36a4uJipk2bRk5ODnFxcaxbtw4vr4vru7399ts4OTkxatQoiouL6d+/P0uWLEGjkXXWHeF0dhHLt6ewcmcqOTrrMhgatYpBrUMYHx9Nj9gA1Gr5/iyEEKLhqnLCz9/fn+PHjxMYGIifn98VLzBduHChRoITQoiGTuVW3Rl+1h8vMsNP1GUpKSlcuHCBlJQUzGYze/fuBaBp06Z2ZcHLFBUV8corrzB8+HDCwsI4f/4877//PmlpaYwcOdLWb/z48aSkpDBhwgQWL15MkyZNbtRLcrjff/+dzZs307FjR0eHIoSoZ/48eZ6DZ6xrFv3w91toF+EDQN8WQdz3obXE59GMAoa+87vtmEa+bgxtF1b+ZEIIcYNc6w3n48aNq/YNYBs3brTbVqlUzJkzhzlz5lR6jKurK++++y7vvvtutZ5TXD+T2cL6I1kkbEtm84lsW3uYjyv3d49idLdIQrylQpkQQoibQ5UTfm+//bbtLqa3335b7igXQogaoPawJvyUkhIUsxlVFe8ElZKeoj544YUXWLp0qW27bP2TDRs20LdvX8BaJnzSpEnMmTMHjUbD0aNHWbp0KdnZ2QQEBNCtWzc2b95MmzZtbOdZuHAhnTt3vinvnI6MjCxXxlMIIa7mfKGeiZ9uB6B3s0Bbsg+ga4w/+14YRIeX1tkdE+bjym9P90MjMyGEEA706aefOjoEUUdl5JXwxfYUVuxIITPfWg1EpYI+zYMYFxdNvxZBOGnUDo5SCCGEuLGqnPC79K6qSZMm1UYsQghx09F4XFyXzVJYiMbH5wq9L7Il/LylxJaou5YsWcKSJUsq3V9cXExmZiZ9+vQBrHdIr1q16qrnbdas2U1749GiRYv4xz/+wUcffURMTIyjwxFC1BNbT12wlfJ8c1SHcvt93LUcmDOIxMOZLP0zmcFtQhjSJlSSfUIIIeoUi0Xh97+yWbY1mV+OZmG2WG+EC/BwZlS3SO7vFkVUgLuDoxRCCCEcp8oJv/z8/CqftKGvnyOEEDVF5eyMys0NpbgYc0FBlRN+utKSnu4yw0/UY5s2beK2226jX79+jg6l3hg9ejQ6nY4mTZrg7u6OVmuf9Jey6kLcPIr0Jn4+mMHCdceY1DOGUV0j8fMo/72goMTIG2uPAtb1+IK9Ki5r5uWq5Z7OEdzTOaJW4xZCCCGu1YUiAyt3prJ8ewrJ5y8uh9G9sT/j46MZ3CYEF6ebr/qHEEIIcbkqJ/x8fX2veje9oiioVCrMZvN1ByaEEDcLjZcXpuJizHl5EFG1i2xS0lM0BEOGDGHIkCGODqNeWbRokaNDEELUARaLwrD3fufUuSIAFvx0lAU/HWXXcwMI8HSx6/vBxpOcLr04el8XSeYJIYSoHxRFYWdyDglbk1lzIAOD2TpT3cvFiXu7RDAuLopmIV4OjlIIIYSoW6qc8NuwYUNtxiGEEDctjY83pqwsLFWcSW0xWygpss7wk4SfqEtiYmKYOXOmo8No0C4tsS6EuHkdOptvS/Zd6tbXN7D1n/3xcr04+3fjsXMADG4TQttGVaskIIQQQjhKQYmRb/acIWFrCscyC2zt7Rr5MD4+imEdwnF3rvLlTCGEEOKmUuV/IcvW1xFCCFGz1F7WMsjm/IKr9LQqLjSCAqjA1VPW8BN1hyT8hBDi+iiKwqnsIiL83CotTXbwTB7D3vsdgHAfVxaN6cQ/vznAX1mFFBnMzPrfPj5+oCuKojDo7d84kVUIwMt3tb1hr0MIIYS4VgfP5JGwLYXv9p5BZ7BWDnPVqhneIZzx8dG0j/B1bIBCCCFEPVDlhN/+/ftp27YtarWa/fv3X7Fv+/btrzswIYS4WWi8rGVICn/bhPfgQeSdKyb1yAWadArCybV8KeXi0vX73Dy1qNVXLrUshBBCiPpBURTm/nCYJVtOE+DhzMKRHejXMrhcv693p9kefzyxK23Cffju0V4MeGsT6XklJB7OpOu8RJw1as7mlQBwZ/uwStfuE0KI+uSXX37hl19+ISsrC4vFYrfvv//9r4OiEtVVYjTzw76zJGxLYW9qrq29abAn4+KiuKdzBD5ucpOrEEIIUVVVTvh17NiRjIwMgoOD6dixIyqVCkVRyvWTNfyEEOLaKEbrenx5X68i7OV5fPvWbgpz9Gz99iRD/96uXP/ifFm/TwghhGhIig1mBi/6jZQL1rX2zhcZmLxkBxue7EuEz8V/7y8UGfj0j9MAvHJ3W9qEW0t0erg48efs/tz+r80cSc8nu9BgO0arUbFwZIcb92KEEKKWzJ07l5deeomuXbsSFhaGSiU3P9ZXJ88VkrA1ha92pZJfYgKs/14NbhPK+Pho4hr7y/gKIYQQ1VDlhF9SUhJBQUG2x0IIIWqGZ99+FG35E4CslHwKc/QA6HUm9iamQqh9/7zsYgC8AuROfSGEEKKuSz5fxOxVBziSnk+3GH/eub8Trlr7cp0/HUy3Jfsu1W/hRtY/fotte+SHWwBQq2B4h/By/eff3ZZJn+4gr9hoa/v20V7lnk8IIeqjDz/8kCVLljBhwgRHhyKqwWCykHg4k2Vbk/nz1HlbeyNfN8bGRTGqayRBXi4OjFAIIYSo/6qc8IuOjq7wsRBCiOvje+89ZM6fD8DxLWcBcHF3Qq8zkXLoAsFB9v3zzlkTfj5Bbjc0TiGEEEKUd6HIwE8H07m1WRCR/u7l9s/63z52JecAsO5wJomHMxl2SbIuI6+EjzadAiDYy4WvHunJr0czmfPDYQDe+eUk/T3g0Nl8Tp4rAmByr8Z4uZYvcdYpyo8dzw7gvQ1/0TnKl1Zh3oR4yw1CQoiGwWAw0LNnT0eHIa5RWo6OFdtTWbEjlexC682tahXc1jKYcXHR3No8CI0sVSGEEELUiCon/C537Ngx3n33XY4cOYJKpaJly5ZMnz6dFi1a1GR8QgjR4Knc3EClAkUh6YD1Tsf+E1ux+X8nKDhfQsk5+4/qvCzrDACfoPIXFYUQDVtRURGvvvpqpWvXnDp1ykGRCVF/mS0KKqhwXVydwcTe1Fz+yipkXFy03QXJYoOZJ1fuY/WBdAB6Nglg+UPxtv2KorBo/Qlbsq/M9C/2UFBiYmxcFADPfXuQY5kFALx7fyeiAtwZHx/N8u0pHM8s5Pv96XyPE/y5FYAesQE8f2frSl+Ps5OaWQObV+/NEEKIOuzBBx9k+fLlPP/8844ORVyF2aKw6XgWCVtT2HAsC0vpikBBXi6M6RbJmO5RNPKVG1iFEEKImlathN9XX33F/fffT9euXenRowcAW7dupW3btixfvpyRI0fWaJBCCNGQqdRq1G5uGEuMFORY19wJjfWhaedg9iSmUJxxWcKvdIafb7D8QBJ1y8aNG5k0aRKnT592dCgN1oMPPsimTZuYMGGCrF0jxGUURcFgtuDiVL585ensIkpMZlqGetu1my0Koz/6k7O5xfw081Z83C7Omjuakc+QRZtt2xeKDMwccDGRtv5Ipi3ZB7Dl5HmGLPqNb6b1ws1Zw760PP71ywkAwn1ceXF4Gx7+fBcAr/18lPu7R3LobD7rj2QC8Fj/ZsTFBgDgpFHz82O30vy5nzBZ7NdNH9GxfClPIYRoqGbNmmV7bLFYWLx4MevXr6d9+/ZotfYznd96660bHZ64zLkCPf/bmcrybSmcyS22tfdsEsD4+GgGtg5Bq1E7MEIhhBCiYatWwu/pp59m9uzZvPTSS3btL774Is8884wk/IQQ4hqpPTzQqZwBcPFwwtVTS2znIPYkplByzgml9GKfYlEulvSUhJ+ow06fPs3LL7/Mr7/+SkZGBuHh4YwfP55nn30WZ2fnCo8xGo0899xzrFmzhlOnTuHj48OAAQN49dVXCQ+XC9wAP/30E6tXr6ZXr16ODkWIGqM3mcnK15crh5ldqMeiKAR72ZekNJot6PRmPFw0OF1y0fDVn47yye9JrPhbPF1j/G3teTojw979nQK9iQ/Hd2FI24uL43675ww7S2fgdZi7joQH4+jVNBCAr3el2T3vovUn6B7jT8+mgaTnFfP4l3vLvZajGQVsPnGO3s2CeLc02efjpiXhoXgaB3rwnwe68uBnO8krNtJ49hrbcc4aNTP6N7M7l1qt4uOJXZn86Q5b24z+zbivS0Tlb6YQQjQwe/bssdvu2LEjAAcPHrRrl5ugHEdRFLaeukDCtmTWHsrAaLb+dvVx03JflwjGxkXRJMjTwVEKIYQQN4dqJfwyMjJ44IEHyrWPHz+eN95447qDEkKIm43a3R0d1rv6/UI8UKlUBEd5oXXRYNSbycnQERLtTFGeHrPRglqtwstf1uQRddfRo0exWCx89NFHNG3alIMHD/LQQw9RVFTEwoULKzxGp9Oxe/dunn/+eTp06EBOTg4zZ85k+PDh7Ny509YvNTWVNm3a3KiXUqf4+fnh7+9/9Y5C1BBFgT9Pnad9pD++7s6YzBZOniuiWbCnXQnMnacvcPJcISO7RKJWqzCYLBzLKKBtI2/bRdicIgMv/3iYrjH+tnKWAC98e4j/7Urlo/FdGNTGmow7nlnAve9vARX8e2xnejcLRKVS8cxX+/lyZyoAkf5urJnRGy9XLZn5JXz0m7Wk7X0f/skH4zpze7sw/vgrm3H/2WZ7rkeW7eKlEW14oEcMS/5Isq2TV2bW//aydXZ/0vNK+HhzUrn3Y+x/trHtn/157puDtpl3/3mgK52ifOkybz0Af/t8F4GezmQXWmftT+vbhMaBHgAMaB1C72aBbD6RbXfeR/rEVrh+Ub8WwRydO5AnP/mZ23t1ZmgHSfYJIW4uGzZscHQIohJ5xUa+3pVGwrZk2xqzAJ2ifBkXF82d7cNw1ZafdS+EEEKI2lOtefR9+/Zl8+bN5dp///13evfufd1BCSHEzUbt4YHO3XqR0y/UOsNBrVETHO0FQMapfBSzmdyz1jV+vAJcUUsplJuGoijojLob/j9FUa4eXCWGDBnCp59+yqBBg4iNjWX48OE8+eSTrFq1qtJjfHx8SExMZNSoUbRo0YL4+Hjeffdddu3aRUpKiq3ftGnTaN++PW+88Qbp6emVnq8hevnll3nhhRfQ6XTXdZ4PPviA9u3b4+3tjbe3Nz169OCnn36qoSjrliK9iQtF1sSLwWTBZLZc5QhIOa8jV2dAURSKDeZK+3zyexJ6U/n9RXoTq/enU2I0YzJb7P6Wdp6+wHd7z1T49/XzwXTm/nAIg8ka48lzhcz5/hBnLymJVWI0oygKGXklHC9d9w1gf1ous1ft51yBHrAmzJ7+ah+7ki8AcCyjgOlf7OH30kRTns7Io8t3s3r/xb+hIr2Jjcey2IUEDAAA1hFJREFU+Pvy3aResP439nOaigc+3cXsVQcA+GDjSQYv+o0ZK/ZQUGK0xTR5yQ6e+foAX+5MxWJRmPDJNoa99zuNZ6/h6a/2AfD51mRW7TnDP785wCOf7yIrv4QSo5kvd6aiKNZE2S+l5S2XbU2mQG+ioMTEA//dzie/J1FsMNuSfQCpF4rZeuoCe1NziZv/i917+X8Ju8nIK2HpltPl3ueXfzxMns7IW4nHbW0tQ63/3mbm63lw6U56vvqrbd+BOYN4bmgr23bc/F/45WgWAO0jfOjfKpgATxdW/O3i+n1lyT6Aey+bkTf79lZ22zP6N+OxAZWvuadRqxjYSGFQ65BK+wghREMWHh7OtGnT+PnnnzEYDFc/QNSqfam5PLVyH3Hz1/PSj4c5ea4Id2cNY+Oi+HH6LXwzrRf3dYmQZJ8QQgjhAFWe4ff999/bHg8fPpxnnnmGXbt2ER9v/WG7detWVq5cydy5c2s+SiGEaODU7u4UKdYLeb6hF0uahcR6ceZ4Lhmn8vB+/0lOKzEQOASfYPdKziQaomJTMXHL4274824buw13bc39t5aXl3fNs9Py8vJQqVT4+vra2j799FNWr17N559/zuzZsxk0aBATJ05kxIgRuLo27Jmvb775JidPniQkJISYmJhya9fs3r27SueJiIjg1VdfpWnTpgAsXbqUESNGsGfPnjoze7JQb6pSv7+yCjBZFCL83Jnz/SFah3njolXzye9JTO7VmCV/JJGeV8KH47vwzNf7CfZyYflD8exLy6V1mDe+7tYSs8u3paAzmAjxdmXGij00D/aiXYQPP+4/y/vjOnNbyxAURWHziWz83J159tsD7E/LI/l8Ee7OThTpTTw7tBUuTmqmLNnBtqQLTIiP5qeDGcQGevDp5G44aVRMXrKDghITp7N1OGlUeLtp8XHT4u/uzCPLrOPXJtyHuzqG0//NTQAYzBZiAtzZl5bH+sOZ3N42lB2ncziTW8yYbpH0aBLAkyv3YTQrpOeVMPv2Vkz4ZBtZBXr++Os8Xz4czxtrj7H+SCY/7DvLjNuaUmw0s3p/Oqv3p/OPVU6M7hrJsm3JlBgtpe9rIaO7NuLnNOvFup8OZpBTZOC7fWcB+HF/Oj/uT2dij2iW/plsG48vd6TSJtybbUkXbG3/25lG/1Yhdsm3nw9lkJqjIyOvxG48py7dSecoX3an5Nq1z1t9hF+OZJUb/4c+21murUz8gotJwPu7R9I02IuXfzyM0azQ4aV1tn1f/19PukT7ce8HW9iVnGNL5gGM6hqBl6uWB3vHkl1o4MNNJ237vF2d+P7vt9i24xr70yM2gD9Pnbe17Xl+IH4e9mWMW4d7k7TgDv694S9ctRoe7B1b6WsQQggBy5cv54cffmD69OlkZmYyePBghg8fztChQ6XywQ2iM5j4fu9ZEralcOBMnq29RYgX4+OjuKtTI7xctVc4gxBCCCFuBJVSxdv31eqqzSRRqVSYzRXfCV0X5Ofn4+PjQ15eHt7e3jV6bqPRyJo1a7jjjjvKXYATQogrSX34EX4t7EGhVyR3TGtP4/bW9YOSDmSx5t8HcXHXEP/zdJJi7iAlahDt+kVw6+jKZwOI+qukpISkpCQaN25sS17pjLp6kfDbuHEjkyZN4vTp0+X2nTx5ks6dO/Pmm2/y4IMPVul8JSUl3HLLLbRs2ZJly5YBYLFYyM/Px9vbG7VazZEjR1i6dCkJCQkUFhYyevRoJk2aZLshqaJzXv7+lqnN7wg15Wo3Vr344ovVPre/vz9vvPEGU6dOrXC/Xq9Hr9fbtvPz84mMjCQ7O7vG369dyTlM/Ww3vYMNhEbEcOq8jlubBfLTwUxCvV3RalT8fDiTO9qGsvpABgazhRAvFzLy9Vc/+SW8XJ1o38gHJ7WKTZeVWLxchK8rabklV+wDEODhzPmiimcfOKlVtjKQV+PhrKGoktmFN5OXh7fm+e/ty26O7hrBLU0DmL5in137XR3CmHdXG97feIr3N52y23d07kA0ahWvrT3Of34/bWvvGu3LFw92ByBhWwpzfjxq2zexRxTP3dHStp2RX8KQd/6gSG8dlycGNOWRPuWTdRuPn2Puj0eZf1dresQGVO+FX8JoNJKYmMjAgQPlN4YDyTjUDTIOdcPVxiE/P5/AwMBa+U516NAhvv/+e7777jv27NlDjx49GDFiBMOHD6dJkyY1+lw3Qm1//7ze61THMwtI2JrMqt1nKCi9GctZo2Zo+zDGxUXRJdpP1k+sArleWDfIONQNMg6OJ2NQN1xtHKr7HaHKM/wslquXPxJCCFE9ah8fdBbrDD+/S2b4hTfzReNsQq+DC/6tyPO2Xlj0D5UZfjcTNyc3to3ddvWOtfC8NeHs2bMMGTKEkSNHVjnZZzQaGTNmDBaLhffff7/Sfq1ateLVV19l/vz5LFy4kOeee44VK1aQm5tbI7HXNdeT0KuM2Wxm5cqVFBUV0aNHj0r7LViwoMKE47p163B3r9nPpP+dUlNkUFtnl6VZSzj+duJ8uX6r9py1Pb7WZB9AQYmJP06WP29FqpLsAypN9gFVTvYBDkv2hbgpZBZf+cKdk0qhQ4DCruyLNwT2DbOwKV2FwsVjh0SYcXeCVacvlvRq6q3waGszT2zVYCntG+CiMKONmSO5Klacuth3cnMz3uf2E+Op4XThxfP6FCZjOn2a9v5q9l+4GMOtbqn8si4V5wK49GdOj2ALa3+2lqz1KwIVGhRUuGoUbvPJZs2aNQD4KvByF/g2WU1SgYow3SnWrLFPHD7dBnRmSC1UEV5wlDVrjlKRp1pCztFtVLK7WhITE2vuZKLaZBzqBhmHuqGycbje0uNX0qZNG9q0acPs2bPJzMzk+++/5/vvv+fZZ58lNjaW1157jaFDh9ba898M9CYzPx/MIGFrCttPX5yxHx3gztjuUYzsGon/ZbPXhRBCCFE3VDnhJ4QQovYY/BphyXdGjQXvgIuzjtQaFd6qDHKIIDO4C3k+1oRfmE/t/YgWdY9KparR0po30tmzZ+nXrx89evRg8eLFVTrGaDQyatQokpKS+PXXX694J1NqaioJCQl8/vnnJCUlMXLkSCZPnlxT4ddZu3bt4siRI6hUKlq3bk2nTp2u+RwHDhygR48elJSU4OnpyTfffEPr1q0r7T979mxmzZpl2y6b4Tdo0KAavyN9iEXhi+0pzP/pKBqNE418XTmZXYSvm5bcYuu6cdexxGS1BXo6k6szVpi483Z1Ir+k4jKksYHunMqu+HP7+aEtWbEjlRNZReX2+blrKdSbMJqtz/fJA53538401h62lpx89o4WnCvQs3jzaQDGdY/Ez13LexutSaoRHcJoFuzJwsQTAPSI9ee9MR3o+fom9CYLrlo1B14YwK0LfyO9tLTm2if689x3h/nxQAYAczubaN6xOw8v3297fY/2a8qjfWNp/oL1Qm+ItwsfT+vDtqQLzFtzjKMZBXi6OPH82D4UlJj47r0tmC0Kk3pE8bfejQnycmGL8RArd50h3MeVjU/0RqVSUaQ3sWKede28pZO60LOJdXacS+Ms/r3pFEPahNAq1ItbmgagUqm4cyh8t/csT359kPl3tWFYl0a29+7224owmC3kFRtpE+6Np8vFnz1xPfII8XYh1LviEsBjKmx1HJnRVDfIONQNMg51Q1Vm+N0IISEhPPTQQzz00EPodDrWrl2Li4vLDXnuhijlvI7l21NYuTPVdgOTRq1iQKtgxsVFc0vTQNRqmc0nhBBC1GXVTvgVFRWxadMmUlJSyi2aPGPGjOsOTAghbiYlHsEAuOqyUHRF4OVl2+elZJJDBFnBXQHwzjtF4ZtLCPj8M4fEKkRVnTlzhn79+tGlSxc+/fTTKpUHL0v2nThxgg0bNhAQUL4cXkFBAatWrSIhIYGNGzfSs2dPHn/8cUaNGlVnS3HWlKysLMaMGcPGjRvx9fVFURTy8vLo168fK1asICgoqMrnatGiBXv37iU3N5evv/6aiRMnsmnTpkqTfi4uLhVeRNNqtbVy0XVcfDTu5w4xeHB/fDzcKDGacdVqKNKbyC02EuDhzMpdaXSO8uX3E9m8sfYYTw5uwas/WadUxQZ6cCq7fBKtbH24jyZ0oUmQBxF+7qTnleDipGbGF3vYmZxDx0hf9qbmAvDEwOZsTTrPqK6RjOjYiOxCPX3f2IhKBf1bBvPt3rN4ujix54VBqFXw3z9Ok19sJL/EyKd/nCbU25XEWX1Rq2DlzjTScovRG8189Nspbm8bytTeTegaE8Dd7/9B8xAv/jupG8nndXSK8kWlglW7z/DsNwe4p3ME/VuH4eTkxNrDWTQO9GBcfAxGs8LXu8+iUat4akhLfN2dOVdoZM3BdB4f2IKYQA9igjx5c91xpvVrSoC3O6/d256EbclM7tUYrVbL7DtaMeOLPcwc0AxfTzdeGN6Gc4UGukb74qs/TtfGgex7cRAWBfam5tKukQ/OTmrm392OFTtSeOO+Dmi1Wm5pHsLPzUNIvWBNbjbyt96o8OsTfcgrNtI+wtc2Dk8ObkkjP+tMAWdn6ywBX62WH/5+C6eyC+nTMtTWd0j7RgxpfzGZd6n7ukUzvFMkzk72ny8twn0r7A/QtXHglf/jq6Nq629NXBsZh7pBxqFuqGwcamts+vbty5QpUxg5ciRubvaVKNzd3bn77rtr5XkbMpPZwq9Hs0jYlsJvJ87ZbqgK9XZlTPdIxnSLItSnYa+RLYQQQjQk1Ur47dmzhzvuuAOdTkdRURH+/v5kZ2fj7u5OcHCwJPyEEOIa6V18AXDW55G78isCplhnKFl0OmITl3C+SyhFntaLnaFZOzG5XajsVELUCWfPnqVv375ERUWxcOFCzp07Z9sXGhpa4TEmk4n77ruP3bt38+OPP2I2m8nIsM4y8vf3tyUFxo8fT0pKChMmTGDx4sX1cr2W6po+fTr5+fkcOnSIVq1aAXD48GEmTpzIjBkz+OKLL6p8LmdnZ5o2bQpA165d2bFjB//617/46KOPaiX26nDRgLuz9euqq9Za6tHDxQmP0tlaE+KjAWgT7sODvWPRqFXc0jSQHacvMLRdGM99e5CuMX60DvPh2W8PMGd4G3o1CeT0+SKah1y8saJxoAcAn0zsxk8H0xnRsRErdqSgKPBAj2im929m6xvo6cL6WX1wcVLj6epEm3AfOkX5oim9433qLY0BKDGaiY8NoGWol23fqG6Rtn3NQry4va31b6FDpC+rZ/QmxNsVfw9nwn0vXsS8v3sUo7tG2u6o79M8iG+m9aRZiJftvVn3+K2oVSp83a1/I6/e245X721nW1Pnzvbh3Nk+3HbOuzo14q5OFxNowzuEE9/YnyAva0I32MuVLx/uUbqmwHHAOtNYo4Iu0X6248bGRTE2LqrcuEX6289Ijg7wKNcnxNuVmQPKr0XbLsKHdhE+5dqv5PJknxBCiIapS5cuPP3000yfPp1Ro0YxderUStdtFleWmV/Ciu2prNiRYpvlD9C7WSDj46Pp3zIYJ438+yqEEELUN9VK+D3++OMMGzaMDz74AF9fX7Zu3YpWq2X8+PE89thjNR2jEEI0eHq1G/D/7N13eFRl+sbx77T0npCEQGhSpOli74hS1LWt7qprRV1/9oZldS0LruLqWlh7B8WCumLDBhawICpIlV5DSW+TZCbTf3+cKRkSkJJkAtyf6+LilHfOvJNDAsw9z/P6iHfbMcVFKpRqJr+OOeDnoAUTWDLwcgImM52Lf8A8eNtt90Q6gunTp7N69WpWr15N165do84FmvRi7NGjB6NHj2bs2LFs2rSJjz76CIA//OEPUY/55ptvOP744wF45JFHOOigg7BYLOxrPv/8c7788stw2AcwYMAAnn76aUaOHLlb1w4EArhcO78OXkcRCtUGdUlnUBcjMHrh4kPC52fdNiy83TTsayo9ycZ5hxkB1qVH99zmczX9pPsVx/VqcUyCzcKogS2H2wk2C38+OPr7on/nbVenbt0+a0i3zKj97JToystQ0LczcrfR3lJERKSjePTRR3n44YeZNm0aEydO5LjjjqN3795cdtllXHTRReTl5cV6ih2a3x9g9ppKXp+zgRnLSvEFW5RnJtk455BCzj+8W4sf0hEREZE9xy4FfgsWLOD555/HYrFgsVhwuVz06tWLhx9+mEsuuYSzzjqrtecpIrJX82YWABuJc9sJuCKfsHSvMtZdsnkdDFn4ZPi4JVn/EZOObfTo0YwePXq7Y5xOJ6WlpQwdOhQwwr/ADizM1qdPn10KNPYGfr9/m62z/H7/Dl/nH//4ByeffDKFhYXU1dUxZcoUZs6cyeeff96a0xURERFpVRaLhTPOOIMzzjiD8vJynn/+ee655x7+8Y9/cMopp3DDDTdwwgknxHqaHUqDB17+YT1vz93Muibtzg/tkckFh3fnpEH54U4KIiIismfbpcDPZrOF32jLy8ujqKiI/v37k56eTlFRUatOUERkX+CwG2uhxrtr8dXVhY/7mix43+nGGyj/7xMABLy+9p2gSBuYNWsWJ5xwAsOGDfv9wQLACSecwI033shbb71FQYHRonHz5s3cfPPNnHjiiTt8ndLSUi666CKKi4tJT0/ngAMO4PPPP2fEiBFtNXURERGRVvPzzz8zceJE3nrrLXJzcxk9ejTFxcWcdtppXH311TzyyCOxnmLMVda7+NfHvzFtkQVvwGjRnRJv5ayDunD+4d3YP3/vXvtaRERkX7RLgd+QIUOYO3cuffv2ZdiwYdx7771UVFQwefJkBg8e3NpzFBHZ6zXUGoFfnMuOv9741KWvvh7njz+Gx1g7daLwxRfZeMUVUUGgyJ7qpJNO4qSTTor1NPYoTz31FGeccQY9evSgsLAQk8lEUVERgwcP5vXXX9/h67z88sttOEsRERGR1ldWVsbkyZOZOHEiq1at4rTTTmPKlCmMGjUq/KH0c845hzPPPFOBH5CSYGXWqgq8ARMDOqdy0ZE9OP3AgvBayCIiIrL32aW/5cePH09dsALlX//6F5dccglXX301vXv3ZuLEia06QRGRfYGj1lg3K85txx/8+brlllvD5+MHDyL99NNpXLECAF9NTbvPUeT39OjRg5tuuinW09irFRYW8uuvvzJjxgyWL19OIBBgwIABDB8+PNZTExEREWlTXbt2Zb/99uOyyy5j9OjRdOrUqdmYww47jEMPPTQGs+t44q0Wxp3Wn3W//crV5xxBXFxcrKckIiIibWyXAr9DDjkkvN2pUyc+/fTTVpuQiMi+qGlLz9oPPyT5mKOpnzUrfD7/oYcxxcVhDf6n1ltRQcDnw2TRWgvScSjwaz8jRoxQ+00RERHZp3z11Vcce+yx2x2TlpbGN998004z6vhOHpTPp0Xss+tfi4iI7Gt2q46/rKyMFStWYDKZ6NevX4ufrhIRke3zeny4HF4A4ty1AGy57faoMeaMdMBo64nFAl4vjcuWkzhoYPtOVkTa3RNPPMH//d//kZCQwBNPPLHdsTfccEM7zUpERESkff1e2CciIiKyr9ulwM9ut3PttdcyZcoUfD4fABaLhXPPPZenn36a9PT0Vp2kiMjezBFcv89sBqvX2eIYc0oKgFHRF/y5W3TJJfSbN7d9JikiMfP4449zwQUXkJCQwOOPP77NcSaTSYGfiIiI7LWGDBnSYqWayWQiISGB3r17M3r0aIYNGxaD2YmIiIjEnnlXHvS3v/2Nn376iWnTplFTU0NtbS3Tpk1j7ty5XHHFFa09RxGRvZqjzgj8ktLj2VajlZb+Y+tvaGjDWYlIR7Fu3Tqys7PD29v6tXbt2hjPVERERKTtnHTSSaxdu5bk5GSGDRvG8ccfT0pKCmvWrOHQQw+luLiY4cOH8+GHH8Z6qiIiIiIxsUuB3yeffMIrr7zCqFGjSEtLIzU1lVGjRvHiiy/yySeftPYcRUT2as46DwBJaXFknv/XZuc3XvG3qP2cG643Nmy2Np+biHQs9913Hw6Ho9lxp9PJfffdF4MZiYiIiLSPiooKbrnlFr777jseffRRHnvsMb799ltuvfVWGhoamD59OnfffTf/+te/Yj1VERERkZjYpcAvOzu7xbad6enpZGZm7vakRET2Jc5ghV9iWhw511/f/Hzv3lH76aecAoA5Pr7tJyciHcq4ceOor69vdtzhcDBu3LgYzEhERESkfbzzzjv89a/NPyB53nnn8c477wDw17/+lRUrVrT31EREREQ6hF0K/O6++27GjBlDcXFx+FhJSQm33XYb99xzT6tNTkRkX+CwBwO/1DgsaWm/O96UlASA3+EgEAi06dxEpGMJBAIttvhduHAhWVlZMZiRiIiISPtISEhg9uzZzY7Pnj2bhIQEAPx+P/H6YKSIiIjso6w7OnDrxZFXrVpF9+7d6datGwBFRUXEx8dTXl7OlVde2fozFRHZS4Uq/JJSbZgslqhzqaef3my8OSnZ2PD7CTQ2YkpMbPM5iuyImTNnMnr0aNavXx/rqex1MjMzMZlMmEwm+vbtG/VvMp/PR319PVdddVUMZygiIiLStq6//nquuuoq5s2bx6GHHorJZOLnn3/mpZde4h//+AcAX3zxBUOGDInxTEVERERiY4cDvzPPPLMNpyEisu9yNqnwA+j22qu4167Dkp5G/FFHwcyZUePNSZGAz+9wYFbgJx3U6aefzoIFCygrKyMzM5Phw4fz0EMPUVBQsM3HTJ06leeff5558+ZRWVnJ/Pnz+cMf/tB+k+6gJkyYQCAQ4LLLLmPcuHFRrdXj4uLo0aMHRx55ZAxnKCIiItK27r77bnr27MlTTz3F5MmTAejXrx8vvvgi559/PgBXXXUVV199dSynKSIiIhIzOxz4/fOf/2zLeYiI7LMcdR4gEvglH3YYyYcdBoDH42k23mQ2Y0pKIuBw4Hc4IDu7/SYrshOGDRvGP/7xDzp37szmzZu59dZb+fOf/9xiK6aQhoYGjj76aP7yl79wxRVXtDhm48aNDBw4sK2m3SFdcsklAPTs2ZOjjjoKm80W4xmJiIiItB+v18sDDzzAZZddxgUXXLDNcYn6MKSIiIjsw3Y48GvJvHnzWLZsGSaTiQEDBqhtgojILgi39EyL2+HHmJOS8Dkc+Bsa2mpa0oEEAgECTme7P68pMbHF9eJ21M033xze7t69O3fccQdnnnkmHo9nm4HVRRddBLDdtqDXXHMN1dXVXHLJJVx44YV07tx5l+e4pxk6dGh42+l0NvtQQNoOrAMqIiIisqexWq385z//CX8ISkRERESa26XAr6ysjPPOO4+ZM2eSkZFBIBCgtraWYcOGMWXKFDp16tTa8xQR2WuFAr9Qhd+OMCcn4atAgd8+IuB0suKgg9v9efv9Og9TUlKrXKuqqoo33nijVarTJk6cyCeffMLkyZO58847GTlyJJdccglnnHEGCQkJrTLfjsrhcHD77bfzzjvvUFlZ2ey8z+eLwaxERERE2t7w4cPDa0aLiIiISHPmXXnQ9ddfj91u57fffqOqqorq6mqWLFmC3W7nhhtuaO05iojstfw+P856o0JnZyr8LBkZAHhbeMNfpCP5+9//TnJyMtnZ2RQVFfHhhx/u9jVzcnK4/vrrmTt3LosXL+aAAw7g1ltvpXPnzlx11VXMmTOnFWbeMd122218/fXXPPPMM8THx/PSSy8xbtw4CgoKeO2112I9PREREZE2c/LJJ3PnnXdy66238tZbb/HRRx9F/RIRERHZ1+1Shd/nn3/Ol19+Sf/+/cPHBgwYwNNPP83IkSNbbXIiInu7xgYvBIzthOQd/5FsKyigceEiPFu2tNHMpCMxJSbS79d5MXne3XXbbbdx+eWXs2HDBsaNG8fFF1/MtGnTdqtVaFP9+/fn3//+N+PHj+eRRx7h7rvvZsqUKdTU1LTK9Tuajz/+mNdee43jjz+eyy67jGOPPZbevXvTvXt33njjje2uaSMiIiKyJ7v66qsBeOyxx5qdM5lM6nQgIiIi+7xdCvz8fn+L7bhsNht+v3+3JyUisq9obDCq++KTrJgtO150bSsoAMCzWYHfvsBkMrVaa832lpOTQ05ODn379qV///4UFhYyZ84cjjzyyFa5/saNG3njjTeYPHky69at4y9/+QuXXnppq1y7I6qqqqJnz56AsV5fVVUVAMccc0z4TTARERGRvZHebxIRERHZvl1q6XnCCSdw4403sqVJZcnmzZu5+eabOfHEE1ttciIie7vGYDvPhOSdW9MsHPgVFbX6nETaSiBglLO6XK7duk5dXR2TJk3ixBNPpEePHnzyySfcfPPNlJSU8MYbbzB8+PDWmG6H1KtXL9avXw8Y3RXeeecdwKj8ywi2+hURERHZ2zU2NsZ6CiIiIiIdzi5V+D311FOcccYZ9OjRg8LCQkwmE0VFRQwePJjXX3+9tecoIrLXClX4JaTsXOCXMGAAAM4FCwj4/ZjMu/T5DZE28/PPP/Pzzz9zzDHHkJmZydq1a7n33nvZb7/9tlvdV1VVRVFRUfhDRStWrAAgPz+f/Px8AC688EKKioq46KKLeOGFF9hvv/3a/gV1EJdeeikLFy5k6NCh3Hnnnfzxj3/kySefxOv1ttjeSkRERGRv4fP5GD9+PM899xylpaWsXLmSXr16cc8999CjRw8uv/zyWE9RREREJKZ2KfArLCzk119/ZcaMGSxfvpxAIMCAAQP26k/Ui4i0hXDgt5MVfomDBmFKSMBXW4unqIi4Hj3aYHYiuy4xMZGpU6fyz3/+k4aGBjp37sxJJ53ElClTiI+PD4/r0aMHo0ePZuzYsQB89NFHUS05zzvvPAD++c9/hsc88sgjHHTQQVgslnZ7PR3FzTffHN4eNmwYy5YtY968eey3334ceOCBMZyZiIiISNt64IEHePXVV3n44Ye54oorwscHDx7M448/rsBPRERE9nk7Hfh5vV4SEhJYsGABI0aMYMSIEW0xLxGRfcKutvQ02WxYMjLwlpTgq29oi6mJ7JbBgwfz9ddfb3eM0+mktLSUoUOHho+NHj2a0aNHb/dxffr0wWQytcY093jdu3ene/fusZ6GiIiISJt77bXXeOGFFzjxxBO56qqrwscPOOAAli9fHsOZiYiIiHQMO90Dzmq10r17d3w+X1vMR0Rkn7KrFX4A5oQEAAJOR6vOSaS9zJo1ixNOOIFhw4bFeip7lK+++opTTz2V/fbbj969e3Pqqafy5ZdfxnpaIiIiIm1q8+bN9O7du9lxv9+Px+OJwYxEREREOpZdWvTp7rvv5s4776Sqqqq15yMisk+JrOG38x2WTUmJAPidzladk0h7Oemkk/jkk09iPY09ylNPPcVJJ51EamoqN954IzfccANpaWmccsopPPXUU7GenoiIiEibGThwIN99912z4++++y5DhgzZqWs9++yzHHDAAaSlpZGWlsaRRx7JZ599Fj4fCAQYO3YsBQUFJCYmcvzxx/Pbb79FXcPlcnH99deTk5NDcnIyp59+Ops2bdq1FyciIiLSCnZpDb8nnniC1atXU1BQQPfu3UlOTo46/+uvv7bK5ERE9na72tITwJwQCvwaW3VOIruqR48e3HTTTbGexl7twQcf5PHHH+e6664LH7vhhhs4+uijeeCBB6KOi4iIiOxN/vnPf3LRRRexefNm/H4/U6dOZcWKFbz22mtMmzZtp67VtWtX/v3vf4crBl999VXOOOMM5s+fz8CBA3n44Yd57LHHmDRpEn379uX+++9nxIgRrFixgtTUVABuuukmPv74Y6ZMmUJ2dja33HILp556KvPmzdsn15oWERGR2NulwO/MM8/EZDIRCARaez4iIvuUUIVf/K4EfomhwE8tPaVjUODX9ux2OyeddFKz4yNHjuTvf/97DGYkIiIi0j5OO+003n77bcaPH4/JZOLee+/loIMO4uOPP2bEiBE7fa2mHnjgAZ599lnmzJnDgAEDmDBhAnfddRdnnXUWYASCeXl5vPnmm1x55ZXU1tby8ssvM3nyZIYPHw7A66+/TmFhIV9++SWjRo1q8XldLhculyu8b7fbAfB4PG3SljR0TbU8jS3dh45B96Fj0H2IPd2DjuH37sOu3p+dCvwcDge33XYbH3zwAR6PhxNPPJEnn3ySnJycXXpyEZF9XWODF4CElF0I/IItPQNq6Smyzzj99NN5//33ue2226KOf/jhh83euBIRERHZ24waNWqbYdqu8vl8vPvuuzQ0NHDkkUeybt06SkpKGDlyZHhMfHw8Q4cOZfbs2Vx55ZXMmzcPj8cTNaagoIBBgwYxe/bsbc7xwQcfZNy4cc2OT58+naSkpFZ9XU3NmDGjza4tO073oWPQfegYdB9iT/egY9jWfXA4dq3AY6cCv3/+859MmjSJCy64gMTERN58802uvvpq3n333V16coBnnnmG//znPxQXFzNw4EAmTJjAscce+7uP++GHHxg6dCiDBg1iwYIFu/z8IiKxFKrwS9yFwM+klp4i+5z+/fvzwAMPMHPmTI488kgA5syZww8//MAtt9zCE088ER57ww03xGqaIiIiIm3G7XZTVlaG3++POt6tW7edus7ixYs58sgjaWxsJCUlhffff58BAwYwe/ZsAPLy8qLG5+XlsWHDBgBKSkqIi4sjMzOz2ZiSkpJtPuedd97JmDFjwvt2u53CwkJGjhxJWlraTs1/R3g8HmbMmMGIESOw2Xb+/5zSOnQfOgbdh45B9yH2dA86ht+7D6EuADtrpwK/qVOn8vLLL3PeeecBcMEFF3D00Ufj8/l2qT/522+/zU033cQzzzzD0UcfzfPPP8/JJ5/M0qVLt/sPtdraWi6++GJOPPFESktLd/p5RUQ6gkAggGt31vBTS0+Rfc7LL79MZmYmS5cuZenSpeHjGRkZvPzyy+F9k8mkwE9ERET2KqtWreKyyy4LB3IhgUAAk8mEz+fbqev169ePBQsWUFNTw3vvvccll1zCrFmzwudNJlOLz7M9vzcmPj6e+Pj4ZsdtNlubvuna1teXHaP70DHoPnQMug+xp3vQMWzrPuzqvdmpwG/jxo1R1XeHHXYYVquVLVu2UFhYuNNP/thjj3H55Zfzt7/9DYAJEybwxRdf8Oyzz/Lggw9u83FXXnkl559/PhaLhQ8++GCnn1dEpCPwNPrw+421UHct8EsA1NJTZF+ybt26WE9BREREJCZGjx6N1Wpl2rRpdO7c+XfDt98TFxdH7969ATjkkEP45Zdf+O9//xteF7mkpITOnTuHx5eVlYWr/vLz83G73VRXV0dV+ZWVlXHUUUft1rxEREREdtVOBX4+n4+4uLjoC1iteL3enX5it9vNvHnzuOOOO6KOjxw5stmntZqaOHEia9as4fXXX+f+++//3edpzwWRteCliOyMuhqjFafFZiZg8uPx+JuN2d7PlUCc8clQb4NDP3f2Ih6Ph0AggN/vb9amSIxPTYd+35Wvj9/vJxAI4PF4mnUn0PeRiIiISMe1YMEC5s2bx/77798m1w8EArhcLnr27El+fj4zZsxgyJAhgPEe1qxZs3jooYcAOPjgg7HZbMyYMYNzzjkHgOLiYpYsWcLDDz/cJvMTERER+T07FfgFAgFGjx4d1X6gsbGRq666iuTk5PCxqVOn/u61Kioq8Pl8LfZE31a/81WrVnHHHXfw3XffYbXu2NRjsSCyFrwUkR3hrjEDyWDx8umnn253bEs/VzI3b6ITsHHZUn75ncfLnsNqtZKfn099fT1utzvW09kp33//Pddccw2LFi1q8+eqq6vbpce53W6cTifffvttsw8s7eqCyO3psssu2+75V155pZ1mIiIiItK+BgwYQEVFRatc6x//+Acnn3wyhYWF1NXVMWXKFGbOnMnnn3+OyWTipptuYvz48fTp04c+ffowfvx4kpKSOP/88wFIT0/n8ssv55ZbbiE7O5usrCxuvfVWBg8ezPDhw1tljiIiIiI7a6cCv0suuaTZsQsvvHC3JrCjPdF9Ph/nn38+48aNo2/fvjt8/fZcEFkLXorIzti4tIrPfvyNjOxUTjllaItjtvdzpT4+gZJPP6OTy81Bp5zSHlOWdtDY2MjGjRtJSUkhISEh1tPZKUlJSZjN5mZ/v7pcLo488kgWLlzIvHnz+MMf/rDNawQCAe677z5efPFFqqurOfzww3nyyScZOHBg+HxdXR2pqam71MapsbGRxMREjjvuuGZf311dELk9VVdXR+17PB6WLFlCTU0NJ5xwQoxmJSIiItL2HnroIW6//XbGjx/P4MGDm/3/aGfe4yktLeWiiy6iuLiY9PR0DjjgAD7//HNGjBgBwO23347T6eSaa64J/5t0+vTppKamhq/x+OOPY7VaOeecc3A6nZx44olMmjSpWRcJERERkfayU4HfxIkTW+2Jc3JysFgszar5mvZEb6quro65c+cyf/58rrvuOiDSlstqtTJ9+vQW3+iKxYLIWvBSRHaEpzG4fl9K3O/+zGjp50pS8MMP7vXrsVosmMzmtpmotCufz4fJZMJsNmPew+5paL5bz/uOO+6goKCAhQsX/u7reuihh3j88ceZNGkSffv25f7772fUqFGsWLGC1NRU/H4/GzduZODAgbv09TGbzZhMpha/p/aEv7vff//9Zsf8fj/XXHMNvXr1isGMRERERNpHqHLuxBNPjDoe+uC4z+fb4Wu9/PLL2z1vMpkYO3YsY8eO3eaYhIQEnnzySZ588skdfl4RERGRtrRTgV9riouL4+CDD2bGjBn86U9/Ch+fMWMGZ5xxRrPxaWlpLF68OOrYM888w9dff83//vc/evbs2eZzFhFpTY0NxnphCcm7FjLEFXYFs5mA04m3ogJbbm5rTk86kEAggNfd/uv5WePMu1RF19Rnn33G9OnTee+99/jss8+2OzYQCDBhwgTuuusuzjrrLABeffVV8vLyePPNN7nyyisBwp+0vuSSS7jwwgvp3Lnzbs1xT2c2m7n55ps5/vjjuf3222M9HREREZE28c0338R6CiIiIiIdWswCP4AxY8Zw0UUXccghh3DkkUfywgsvUFRUxFVXXQUY7Tg3b97Ma6+9htlsZtCgQVGPz83NJSEhodlxEZE9QSjwS0zZtcDPZLNhzc7GW16Ot6xcgd9ezOv288KNs9r9ef/vv0Oxxe96S6LS0lKuuOIKPvjggx1aN3fdunWUlJQwcuTI8LH4+HiGDh3K7Nmzw4HfxIkT+eSTT5g8eTJ33nknI0eO5JJLLuGMM87Y49qgtpY1a9Y0W5NQREREZG8ydGjLyyCIiIiIiCGmgd+5555LZWUl9913H8XFxQwaNIhPP/2U7t27A1BcXExRUVEspygi0mZc9cEKv10M/ACseXnBwK8MGNhKMxPZfYFAgNGjR3PVVVdxyCGHsH79+t99TKjN99atvfPy8tiwYUN4Pycnh+uvv54bb7yRZcuW8eqrr3Lrrbdy1VVXce655zJ69GiOOOKIVn09HUXTdYnB+DoXFxfzySeftLjWsoiIiMje5LvvvuP5559n7dq1vPvuu3Tp0oXJkyfTs2dPjjnmmFhPT0RERCSmYhr4gdGW65prrmnx3KRJk7b72N/rpy4i0pHtbktPAGuwqs8I/GRvZY0z83//bf9PNFvjdn0NwSeffBK73c6dd96504/duo1oaF2WlvTv359///vfjB8/nkceeYS7776bKVOmUFNTsyvT7vDmz58ftW82m+nUqROPPvool112WYxmJSIiItL23nvvPS666CIuuOACfv31V1wuFwB1dXWMHz+eTz/9NMYzFBEREYmtmAd+IiL7qkjgt+s/iq2dOgEK/PZ2JpNpt1prxsLXX3/NnDlziI+Pjzp+yCGHcMEFF/Dqq682e0x+fj5gVPo1XZevrKysWdVfyMaNG3njjTeYPHky69at4y9/+QuXXnppK76SjkVr14iIiMi+6v777+e5557j4osvZsqUKeHjRx11FPfdd18MZyYiIiLSMSjwExGJkcYGY72t+N2o8LOkpgDgdzhaZU4ireWJJ57g/vvvD+9v2bKFUaNG8fbbb3P44Ye3+JiePXuSn5/PjBkzGDJkCABut5tZs2bx0EMPhcfV1dUxdepU3njjDWbOnMlRRx3FzTffzDnnnENaWlrbvrAYW7duHV6vlz59+kQdX7VqFTabjR49esRmYiIiIiJtbMWKFRx33HHNjqelpe213R1EREREdoYCPxGRGGlshTX8TImJAPidzlaZk0hr6datW9R+SooRTu+333507dq1xceYTCZuuukmxo8fT58+fejTpw/jx48nKSmJ888/PzzuwgsvpKioiIsuuogXXniB/fbbr+1eSAczevRoLrvssmaB308//cRLL73EzJkzYzMxERERkTbWuXNnVq9e3ewDTt9//z29evWKzaREREREOhAFfiIiMeKsdwOQuBuBnzkxCQC/UxV+smfq0aMHo0ePDq/Je/vtt+N0Ornmmmuorq7m8MMPZ/r06aSmpoYf88gjj3DQQQdhsexZbU5bw/z58zn66KObHT/iiCO47rrrYjAjERERkfZx5ZVXcuONN/LKK69gMpnYsmULP/74I7feeiv33ntvrKcnIiIiEnMK/EREYsDj8uF1+wFITI3b5euYk4wKv4Aq/KSD69GjB4FAIOqY0+mktLSUoUOHho+ZTCbGjh0bDgBb0qdPH0wmU1tNtUMzmUzU1dU1O15bW4vP54vBjERERETax+23305tbS3Dhg2jsbGR4447jvj4eG699VZ98ElEREQEMMd6AiIi+yJnnVHdZ7GZscXvepWSOdTS06HAT/Y8s2bN4oQTTmDYsGGxnsoe49hjj+XBBx+MCvd8Ph8PPvggxxxzTAxnJiIiItL2HnjgASoqKvj555+ZM2cO5eXl/Otf/4r1tEREREQ6BFX4iYjEgDO4fl9iim23KpW0hp/syU466SROOumkWE9jj/Lwww9z3HHH0a9fP4499lgAvvvuO+x2O19//XWMZyciIiLS9pKSkjjkkENiPQ0RERGRDkcVfiIiMRCq8Nuddp7QdA0/BX4Sez169OCmm26K9TT2agMGDGDRokWcc845lJWVUVdXx8UXX8zy5csZNGhQrKcnIiIiIiIiIiIxogo/EZEYiAR+tt26TngNP4djt+cksrsU+LWPgoICxo8fH+tpiIiIiIiIiIhIB6IKPxGRGHDWBVt67naFn1p67q0CgUCsp7BX2tO/rhMnTuTdd99tdvzdd9/l1VdfjcGMRERERERERESkI1DgJyISA+EKv5Tdq/ALr+GnCr+9hs1m/Jlw6J62Cbfb+N6zWCwxnsmu+fe//01OTk6z47m5uar6ExERERERERHZh6mlp4hIDDjrW6fCz9qpE1gs+OvrcW/aRFzXrq0xPYkhi8VCRkYGZWVlACQlJWEymWI8q47D7/fjdrtpbGzEbN65zy35/X7Ky8tJSkrCat0z/wm0YcMGevbs2ex49+7dKSoqisGMRERERERERESkI9gz3+0SEdnDtdYafpaUFJKGDMExdy4NP/5I3F/+0hrTkxjLz88HCId+EhEIBHA6nSQmJu5SEGo2m+nWrdseG6Lm5uayaNEievToEXV84cKFZGdnx2ZSIiIiIiIiIiIScwr8RERioLXW8AOw9egOc+fiq6zc7WtJx2AymejcuTO5ubl4PJ5YT6dD8Xg8fPvttxx33HHh9qc7Iy4ubqcrAzuS8847jxtuuIHU1FSOO+44AGbNmsWNN97IeeedF+PZiYiIiIiIiIhIrCjwExFpRW6nl2lPLyQlM4Hho/tjtrQcLEQq/HY/8LOkpwPgq67Z7WtJx2KxWPbYtebaisViwev1kpCQsEuB357u/vvvZ8OGDZx44onhtqR+v5+LL75Ya/iJiIiIiIiIiOzD9tyPuIuIdEALv95I8epaVv1SypwP17Y4JhAIRCr8UnY/sLBkZADgq6nZ7WuJSMcWFxfH22+/zfLly3njjTeYOnUqa9as4ZVXXiEubsc/QPDggw9y6KGHkpqaSm5uLmeeeSYrVqxow5mLiIiIiIiIiEhbUuAnItKK1i4oD28v/Hojznp3szEelw+f1w+0coVfbe1uX0tE9gxZWVmccMIJnHrqqXTv3n2nHz9r1iyuvfZa5syZw4wZM/B6vYwcOZKGhoY2mK2IiIiIiIiIiLQ1BX4iIq3EWeemYmM9AMkZ8fi9AdYvar6uXqidpzXOjC1+99s1qsJPZN9QU1PDtddeS05ODnl5eeTm5pKTk8N1111HzU5+/3/++eeMHj2agQMHcuCBBzJx4kSKioqYN29e20xeRERERERERETalNbwExFpJZtWVAOQ3SWFbgOymD+jiNL1dvof1TlqXLidZytU9wFY0jMABX4ie7OqqiqOPPJINm/ezAUXXED//v0JBAIsW7aMSZMm8dVXXzF79mwyMzN36fq1wQrhrKysbY5xuVy4XK7wvt1uB8Dj8eDxeHbpebcndM22uLbsGN2DjkH3oWPQfegYdB86ht+7D7o/IiIiIrGhwE9EpJUUrzHeMO/aL5PcHmkAlK5r3mbTYTcq/Fot8EtLBcDXUN8q1xORjue+++4jLi6ONWvWkJeX1+zcyJEjue+++3j88cd3+tqBQIAxY8ZwzDHHMGjQoG2Oe/DBBxk3blyz49OnTycpKWmnn3dHzZgxo82uLTtG96Bj0H3oGHQfOgbdh45hW/fB4XC080xEREREBBT4iYi0GnuFE4DMzknk9TQCv8rNDXjdPqxxkdad9dWNAKRmxrfK85pTUgDw12vtLZG91QcffMDzzz/fLOwDyM/P5+GHH+aqq67apcDvuuuuY9GiRXz//ffbHXfnnXcyZsyY8L7dbqewsJCRI0eSlpa208/7ezweDzNmzGDEiBHYbLZWv778Pt2DjkH3oWPQfegYdB86ht+7D6EuACIiIiLSvhT4iYi0EnuFEeSlZSeSkhlPUlocDrub8qI6OvfOCI+rqzJa4qVkJrTK84YCv4DTScDrxWTVj3aRvU1xcTEDBw7c5vlBgwZRUlKy09e9/vrr+eijj/j222/p2rXrdsfGx8cTH9/8gwo2m61N33Rt6+vL79M96Bh0HzoG3YeOQfehY9jWfdC9EREREYkNc6wnICKyNwgEAtRVGhV+qTkJmEymSFvP9dGfcK2vMoLBlKxWqvBLTg5v+xtU5SeyN8rJyWH9+vXbPL9u3Tqys7N3+HqBQIDrrruOqVOn8vXXX9OzZ89WmKWIiIiIiIiIiMSKAj8RkVbgrPPgdfvBBKlZRuVeqK3n1oFfXSjwa60Kv7g4THHGeoD+eq3jJ7I3Oumkk7jrrrtwu93NzrlcLu655x5OOumkHb7etddey+uvv86bb75JamoqJSUllJSU4HQ6W3PaIiIiIiIiIiLSTtT3TUSkFYTW70vJiMdiNT5L0akwFYCqLdFVd6HALy2ndQI/AHNqKr7KSnz1DaiBjsjeZ9y4cRxyyCH06dOHa6+9lv333x+ApUuX8swzz+ByuZg8efIOX+/ZZ58F4Pjjj486PnHiREaPHt1a0xYRERERERERkXaiwE9EpBXYg+0803ISw8cy85MAqClz4PcHMJtNeD0+HLVGhU5qdisGfinJ+Cor8Tdsu8Iv4PXib2jAkp7eas8rIu2ja9eu/Pjjj1xzzTXceeedBAIBAEwmEyNGjOCpp56isLBwh68XeryIiIiIiIiIiOwdFPiJiLSCuspg1V6TEC8lKwGLzYzP48de4SQjN4n6KhcA1ngLCcmtV4tnSU7BA1S9+hpJBx3U4phNN91Ew7ff0euTacTtRDAgIh1Dz549+eyzz6iurmbVqlUA9O7dm6ysrBjPTEREREREREREYk1r+ImItIL6aiPIS8mKBH5ms4mszskAVGw0Ku/ClYDZCZhMplZ7fkvwDX/P5s0tnq95byr1X35FwO2m8qWXW+15RaT9ZWZmcthhh3HYYYcp7BMREREREREREUCBn4hIq2ioMQK/5Iz4qON5PdIAKFlXC0QqAVuznSdAztVXAeCrs7d4vviuu8LbNW+/jXPRolZ9fhERERERERERERGJHQV+IiKtYJuBXy8j8CtdawRx9lDrz6zWDfzMqakA+GubB34Br7fZsU3XXd+qzy8iIiIiIiIiIiIisaPAT0SkFdQHA7+UrQK//J7pAJRvrMPnNdbyA0jNTmzV57ekG8/jq6sjEAhEnXMXbWw23ltW1qrPLyIiIiIiIiIiIiKxo8BPRGQ3+X1+nHY30LzCLz03kfgkKz6Pn4pN9ZSsNVp7ZndNbtU5WNKMSkJ8PvwNjqhzW26/vfkDbLZWfX4RERERERERERERiR0FfiIiu8lhdxMIgNlsIjElOkgzmUzk9TTCuFVzS6mvcmG2mOi8X0arzsGUkIApGOL57bXh497KShqXLAnvWzIzAYjv1atVn19EREREREREREREYkeBn4jIbgq180xKj8NkNjU7n9/LaLe58EujtWZezzRs8ZZWnYPJZMIcrPLz2SPr+PmqqsLbtsJCCp971jhe13ytPxERERERERERERHZMynwExHZTQ3BwG/rdp4hfQ7NgyY5YJd+mW0yD2uWcd2mIZ+3qjq8Hb/fflgyMgDw19QiIiIiIiIiIiIiInsHBX4iIrspFPilbCPwy8hN4tA/9gTAZDax/xGd22Qe1k65AHjKysLHfNWR8C//nruxZGcD4Hc48NUq9BMRERERERERERHZG1hjPQERkT2ds84DQGJa3DbHHPrHHqR3SiQ+yUp6p8Q2mYc11wj8at79HxlnngmAN1jtlzpiOLYuXQCwdeuGp6gI55IlpBx9dJvMRURERERERERERETajyr8RER2k6PODUBi6rYDP5PJRL/D8+kxOKftJhLwA+CcNw9vVRX+xkZK/3U/AJaMSBvRxAMOAKBh9uy2m4uIiIiIiIiIiIiItBsFfiIiu6kxVOGXYovpPJKOPDK87S0vp+addyEQACC+X7/wudSRIwCom/Fl+05QRERERERERERERNqEAj8Rkd3k3IEKv/aQ/sc/hrd9NbW4N20M7ycfdVR4O6FvX2NMVWR9PxERERERERERERHZcynwExHZTc76YIVfamwr/Ew2G4kHHQSAr6YmfDyuZ0/ie/UM75tTUgDwNzQQ8PvbdY4iIiIiIiIiIiIi0voU+ImI7KaOUuEHYElPB8Axdy7e8nIAMv58dtSYUOBHIIDf4WzX+YmIiIiIiMTagw8+yKGHHkpqaiq5ubmceeaZrFixImpMIBBg7NixFBQUkJiYyPHHH89vv/0WNcblcnH99deTk5NDcnIyp59+Ops2bWrPlyIiIiISpsBPRGQ3+Lx+XA4vEPsKP4gEftWTJ1P32efGsYyMqDGm+HiwWACjyk9ERERERGRfMmvWLK699lrmzJnDjBkz8Hq9jBw5koYm/z96+OGHeeyxx3jqqaf45ZdfyM/PZ8SIEdTV1YXH3HTTTbz//vtMmTKF77//nvr6ek499VR8Pl8sXpaIiIjs46yxnoCIyJ6sMdjO02SChKQOEPhtFe4BmOLio/dNJswpKfhra/E31AO57TM5ERERERGRDuDzzz+P2p84cSK5ubnMmzeP4447jkAgwIQJE7jrrrs466yzAHj11VfJy8vjzTff5Morr6S2tpaXX36ZyZMnM3z4cABef/11CgsL+fLLLxk1alSz53W5XLhcrvC+3W4HwOPx4PF4Wv11hq7ZFteWHaf70DHoPnQMug+xp3vQMfzefdjV+6PAT0RkNzjrjXaeCSk2TGZTjGcDaaedStWkSVHH4vv2aTbOkpxsBH719e00MxERERERkY6ptrYWgKysLADWrVtHSUkJI0eODI+Jj49n6NChzJ49myuvvJJ58+bh8XiixhQUFDBo0CBmz57dYuD34IMPMm7cuGbHp0+fTlJSUmu/rLAZM2a02bVlx+k+dAy6Dx2D7kPs6R50DNu6Dw6HY5eup8BPRGQ3OO3Gpy06wvp9AIkDB9L5gQcovusuALo89igJ/fo1G2dOTgbU0lNERERERPZtgUCAMWPGcMwxxzBo0CAASkpKAMjLy4sam5eXx4YNG8Jj4uLiyMzMbDYm9Pit3XnnnYwZMya8b7fbKSwsZOTIkaSlpbXaawrxeDzMmDGDESNGYLPFviPNvkr3oWPQfegYdB9iT/egY/i9+xDqArCzFPiJiOyGUIVfR1i/L8wUqTRMPemkFoeYU1IA8NXUtMeMREREREREOqTrrruORYsW8f333zc7ZzJFd3EJBALNjm1te2Pi4+OJj49vdtxms7Xpm65tfX3ZMboPHYPuQ8eg+xB7ugcdw7buw67eG/PuTkhEZF/mrOtYFX4AKcOOx5yWRvIxx2Ayt/xjPr5fXwDqZ33bjjMTERERERHpOK6//no++ugjvvnmG7p27Ro+np+fD9CsUq+srCxc9Zefn4/b7aa6unqbY0RERETakwI/EZHd4KwLVvildJzAz5qZSZ+Z31D4/HPbHJNy/PEANC5d2k6zEhERERER6RgCgQDXXXcdU6dO5euvv6Znz55R53v27El+fn7Uujput5tZs2Zx1FFHAXDwwQdjs9mixhQXF7NkyZLwGBEREZH2pJaeIiK7IRz4daSWnoD5dxZ8t+XmAuCtrmqP6YiIiIiIiHQY1157LW+++SYffvghqamp4Uq+9PR0EhMTMZlM3HTTTYwfP54+ffrQp08fxo8fT1JSEueff3547OWXX84tt9xCdnY2WVlZ3HrrrQwePJjhw4fH8uWJiIjIPkqBn4jIbnDWd7yWnjvCkpUFgK+6ZofWoRAREREREdlbPPvsswAcH+x8EjJx4kRGjx4NwO23347T6eSaa66hurqaww8/nOnTp5Oamhoe//jjj2O1WjnnnHNwOp2ceOKJTJo0CYvF0l4vRURERCRMgZ+IyG7oqBV+vycU+OH14rfbsaSnx3ZCIiIiIiIi7SQQCPzuGJPJxNixYxk7duw2xyQkJPDkk0/y5JNPtuLsRERERHaN1vATEdkNjrpghV8HWsNvR5jj4jCnpADgrVRbTxEREREREREREZE9mQI/EZEW+Lx+Ni6rwl7p3O64xj20wg/AkpkJgK+mOsYzEREREREREREREZHdoZaeIiIt+HLSUlbPLcMWb+HPdxxCVufkZmN8Hj/uRh+w563hB2BJTcUD+OvqYj0VEREREREREREREdkNqvATEdmKy+FhzbwyADwuHwu/LGpxnLPeqO4zm03EJ+55n58wp6UB4LMr8BMRERERERERERHZkynwExHZypbVtTRdw71knb3Fcc7g+n0JKTZMZlN7TK1VWVKNNfz89Qr8RERERERERERERPZkCvxERLZStaUegII+GQDUlDjwefzNxjnD6/ftee08AcwpqQD46upjPBMRERERERERERER2R17Xg86EZE2Vl3iAKCwfyaVW+pxNXipKm6gU7fUqHGOcOBna/c5tgZLmvF6/HUtVzCKiIiIiIjInikQCOD0OnEH3Di9Tjx4Yj2lfZbX69V96AB0HzoG3YfY0z1ofYnWREymjtH9TYGfiMhWqosbAMjMTyanawqbV9RQsamuWeDXUOMCIDkjvt3n2BoiFX5q6SkiIiIiIrI3cXqdHP3O0QDc9859MZ6NgO5DR6H70DHoPsSe7kHr+en8n0iyJcV6GoBaeoqIRAkEAlSXGhV+RuBnhGIVm5q3vWyoNSr8ktP3zMDPkp4GgLe4JMYzEREREREREREREZHdoQo/EZEmGmrceBp9mMwm0nMTyemaAkDFxuaBnyNc4bdnruGXdPjhANTPno2vvgFLSnKMZyQiIiIiIiKtIdGayA/n/MAXX3zBqFGjsFr1FmCseL1e3YcOQPehY9B9iD3dg9aXaE2M9RTCYn5Hn3nmGf7zn/9QXFzMwIEDmTBhAscee2yLY6dOncqzzz7LggULcLlcDBw4kLFjxzJq1Kh2nrWI7K1qSo12nmk5CVisZnIKjcCvcnM9gUAgqh/znl7hl9CvH+bkZPwNDfgqyhX4iYiIiIiI7CVMJhOJ1kTiTHEkWhOx2fbMtef3Bh48ug8dgO5Dx6D7EHu6B3u3mLb0fPvtt7npppu46667mD9/Psceeywnn3wyRUVFLY7/9ttvGTFiBJ9++inz5s1j2LBhnHbaacyfP7+dZy4ie6v6YNVeWnYCYLT1NJtNuBxe6qtdUWMbavfsNfwAzKnBdfzqG2I8ExERERERERERERHZVTEN/B577DEuv/xy/va3v9G/f38mTJhAYWEhzz77bIvjJ0yYwO23386hhx5Knz59GD9+PH369OHjjz9u55mLyN6qIRj4JQWr9ixWM6nB8M9e7gyPCwQC4cAvKW3PbOkJYA5W9fnr67Y5xu904t6wob2mJCIiIiIiIiIiIiI7KWYtPd1uN/PmzeOOO+6IOj5y5Ehmz569Q9fw+/3U1dWRlZW1zTEulwuXK1KVY7fbAfB4PHg8nl2Y+baFrtfa1xWR9lNf3QhAYqo1/L2cmpNAbbmTqtJ6cnsZLT4bGzz4vQEA4pLMbfZ939Y/V8zJxutx19QQt43n2HTpZTQuWEDXKVNIGDigTeYhsqPa8ntCf3+LiIiIiIiIiMieKmaBX0VFBT6fj7y8vKjjeXl5lJSU7NA1Hn30URoaGjjnnHO2OebBBx9k3LhxzY5Pnz6dpKSknZv0DpoxY0abXFdE2l7ligTAxrpNq6n4dBkA1Q3xQBzz5yxhbfWvAHjqzEAyZpufL2Z83ubzaqufK12cTpKBBbNnY3e5WhzTd8ECABY/9STlp53WJvMQ2Vlt8T3hcDha/ZoiIiIiIiIiIiLtIWaBX4jJZIraDwQCzY615K233mLs2LF8+OGH5ObmbnPcnXfeyZgxY8L7drudwsJCRo4cSVpa2q5PvAUej4cZM2YwYsQILXgpsof6cMVCnNg59Mg/0GtIJwAWJWxiTtE6OqV3Yfgp/QHYtKyaT79fQkanFE45ZWibzaetf66UfP0N9StXMqhXLzJOOaXZ+aqXXqIquN1r//05tIUxIu2pLb8nQl0ARERERERERERE9jQxC/xycnKwWCzNqvnKysqaVf1t7e233+byyy/n3XffZfjw4dsdGx8fT3x8fLPjNputzUK5try2iLQtp90NQFpWUvj7ODPPaHtZV+kKH2us9wGQkpHQLt/vbfVzxRr64IPD0ez6nrIyqv77RHjfvXSZfrZJh9EW3xP68y0iIiIiIiIiInsqc6yeOC4ujoMPPrhZS64ZM2Zw1FFHbfNxb731FqNHj+bNN9/kj3/8Y1tPU0T2IYFAgIZaI/BLSo98UCC9UyIAteVOAgFj3b6GWqP9ZVJG8w8U7EnMaakA+Gtrm53zlpVH7TfMno2ntLRd5iUiIiIiIiIiIiIiOy5mgR/AmDFjeOmll3jllVdYtmwZN998M0VFRVx11VWA0Y7z4osvDo9/6623uPjii3n00Uc54ogjKCkpoaSkhNoW3qgWEdlZbqcXn8cPQHJ6XPh4WjDwczu9NNZ7AHDUuJqN2xPZgi2RPWVlzc75qiqbHXP8MrfN5yQiIiIiIiIiIiIiOyemgd+5557LhAkTuO+++/jDH/7At99+y6effkr37t0BKC4upqioKDz++eefx+v1cu2119K5c+fwrxtvvDFWL0FE9iKh6r74JCvWOEv4uC3OEg79KjbXR41NTt+zK/ys+Z0B8BaXNDtXNfl1AJKPPpr0M88EoHHx4nabm4iIiIiIiIiIiIjsmJit4RdyzTXXcM0117R4btKkSVH7M2fObPsJicg+K9ymM6151V5O1xTs5U4qN9VTuH8WdVWNACTv4S09bZ3zAZq16gz4fDR89x0AjcuWkXPcsdR+AN7y8q0vISIiIiIiIiIiIiIxFtMKPxGRjsQRqtprIcTL7pICQOWmegKBADWlDgAy85Pab4JtwFZQAIC3tBS/0xk+7quuDm+nn3YqlowM43hNTXtOT0RERERERERERER2gAI/Edln+P2B7Z5vCK7Ll9TCunw5XY3Ar2JzPQ01bjwuHyazibScxNafaDuy5uRg7dQJ/H4aly4NH29ayZdz3XVYMjON4zXVza4hIiIiIiIiIiIiIrGlwE9E9gmLZ27ixRtn8eWkpQQCLQd/ju2syxcK/KqKG6jYWAdAeqdELNY9/8dowqBBADSuWBE+Fgr84vffH0tqajjw81XXtPv8RERERERERERERGT79vx3qkVEfkdjg4fv/7cKr8fPijkllK63tzgutIZfS4FfalYCtgQLfm+AlT+XANCpW2rbTbodWXNygOh2naHAz9qpE0Ckwq+4mIDH074TFBEREREREREREZHtUuAnInu9DYsr8HsjVX2bV7TcljIU+LXU0tNkNpETXMdv1dwyAHK77x2BnznNeB1+e134mHvTJgBsnTsDRihoSjTal9Z+9HE7z1BEREREREREREREtkeBn4js9Sq3NETtl62va3Hc9lp6AuR2T4va79w7Y/cn1wFY0tIB8NkjlY+uFSsBiOvRAwBzQgIpQ4cC4N5Y1L4TFJE28e2333LaaadRUFCAyWTigw8+iPWUdo+zxvh9/Q8w8yGoWgcT/whf/QuWfwoP9YSlH4K7AYrmQEvtnetK4YcnoLEWZv4bvnkQvK7m4ypWQ81G8DQa11/9VfMxjXaY/zqULGl+zlUHc54FR1Xk2IYfwb6l+dhAwJhPaL6BAKz+Euoja61SUwS1myP7Pi+46ptfa1sCAShfAX7/jj9GRERERERERDoUa6wnICLS1mrLnQD0GJzN+sWVVBU3NBsTCAS2W+EHMGhoFxZ+vREAa7yFToUpbTTj9mVJN4JMf50R+Lk3bab+668BiOvRPTwuvldP6gC/veWWqCKyZ2loaODAAw/k0ksv5eyzz471dFoU57FDQwVkdDZ+T8wCZzXUl0B6IfzyInQ7EtZ8Dd/+B465Gb5/3Hjwr6+CfTNs+D5ywXcuhtyBUPYbnP0yZHSDnD5QvR5sScb58uWw4A3jdwCvE9bOgkMuhYNHg70YnjvGONfjGFg9A74D7qkwgrPvHzPCR4/DmENSNtyyEswW+PFpqN1ohIjzJsKKz+CSj4ywb+JJkLUf/HUKVKyEHkeDyWLM5fM7YP9T4bw3YMWnMOV8SC2Aa+eA3wfPHgNmM1z7M6TkwtQrYOXncMXXkNsffn0NvhwLpz8F+58Cc1+Bn16Ao66HIRcYweRH18FRN8DIfxlh5lvnYe52FBB8rV43EIB13xqv25YIs5+CX16CP78MXQ6OfJ1Llxq/5w0wfi9eBI5K2G9YZEz1epjzHBxxFWT2iBxf/wOULYVD/wYm0+//IQkEjOA0Ofv3x4qIiIiIiIjsxRT4icher7YsGPgdkMP6xZXUljvxefxYbJEiZ0+jD6/bqGzYVoVfRl4SJ47uz8KvNnLYqT0xW/aOImlzqtHS01drBHmNSyLVKEmHHBIZl5YWNU5E9mwnn3wyJ598cqyn0TKfB/PsJxi15AFMS82QnAN1xWC2gX8764iGwj4wwr6WlP1m/P7e5du+TijsA/jhv8bvH98I026GQJMquNUzItv/ymn5Wo5KeKQPOKuan1s3C74ZD/MmGftVa+DpQyPnbcngCX5IZfk0WDgFFr1t7NdtgZ+eNwJEV61xbPo9RhD321Rj/+v7IasXzH7C2J/9JOQPNl4HwEfBwO+r+4Lnn4DjboUv/gGlS7CULiF1/+6YNvwAb/458rU/9hY44R6Yfpex//rZ8Pf1sHK6cc36ErAmwHVzwWWH5481xg08C4aPhczuxute9DYseBPu2GCEe421MOkUY2x6IfQ7ydhe/D/45gHoezJ0OQgGnR0JA+dNNF7PSQ8Z4WHI5nngdhjX7H4UJGVFzq35GjK6Q3pXsLb8d76IiIiIiIjInkaBn4js1QKBALXlDgAK+mQQl2DB3eijpsxBdpdIhV6oui8uwYIt3rLN6+1/RGf2P6Jz2066nYVaejp+/hl/YyO+auNN6ZThJ2JJi7QxtaQGA786BX4i+yKXy4XLFWlvaQ9W+3o8Hjye7YRwu8Ay7UYsC98wdvw+I+yD7Yd97SGwiy0vWwr7QmY9tO1znq0q0t+/Mnr/mwei9xdNid5fPi16v2g2TBgU2Q/4YGx61JDAf/+Aqcl8T1h+Fywn2neP4t80L7I2gLMa/7uXYf7tvcgYbyO+XyZCYjrhv1V/m4q/ej2+C97HFgouXbUEHuyK9/KvMa/6PDL2rXPxnvoEgQPPxzL7ScxVa2HO08alsRLoOwrLG2dhLpptjP/873j+cDFYbJg2/ID19TPCU/EPPhff6cZjTZvnYZ38p8g0R39OoEvwwy0BP1SsxPLlvZi2zMN7/lTofGD0a69cjamhDFPJIvxDLjYqQ9tY6Purtb/PZOfoPnQMug8dw+/dB90fERERkdhQ4CciezWH3Y3X7cdkgrScRLIKkilZa6equGGrwM9Yvy9pG9V9e7O4wq7h7fpvv8VbXQ2ANTMzaly49acq/ET2SQ8++CDjxo1rdnz69OkkJbVu6JHR2IfDremszD8dq89JWuMmitMPobDqO5xx2fhMcXStnsPGrCPpUTETi99NXUIB6Y0bd+j6HnMiNr+ThrhO1CT1xGeOp1vVd9t9TE1iNzKc21/DNICJuoQC0hpbri502jJJ9FTv0Bwb4nJJdpft0NjWZNpeONmEed3M6P2mYV+Q5YdHmz9uy6+Y/9M96pjJXY/t2cOajbVOu4Fl82bSv3hB1PEt37xE+dwfOTgU9gVVPTOKX3pcx/7F79G76XMufptplpMImCwM2vQG+zU5Z3/nWr7r908A9iv9lEFbIqHplg/GsaDb5eFqwiRXOScsuwNLwHgje/Win1le8OfoSQcCdKn5iQM2vsqv3f+P0vQhzV7XrpoxY8bvD5I2p/vQMeg+dAzbug8Oh6OdZyIiIiIioMBPRPZyoXaeqdkJWKxmMjsHA78t0VUTjmCFX/I21u/bm8X16EHCgAE0Ll2Ke+06vOXlAFgyogO/cEtPreEnsk+68847GTNmTHjfbrdTWFjIyJEjSWtSDdxaPM7RrPvmW0aMGIHNZiOvhTE9AGo34gsESEruhG/m/QRyB4LFhvmXl/AfcjmWn54F+2Z857yOZdoNBFLy4a/v4ilfTlxWL3LjkgHwLv3AWHcvKRvL/0YTyB1AoOthmH/7H76zXiG5x7F4ANPmXwnEp2KZ8Q/Ma7/Bd/QYiEsBdz3+Y28j0WzF/+6FmFd9ge/I6zGv+IRAdh98f3oJq9lK4IlBmByV+Ib/C6zxBBKzID4VEjKxThppzOXM54nrfyaBR/fD5K7Hd+j/EcgdgKl8GeZFb+MfeLYRuNVuxH/E9QS6HoLlo2sxOavwD/oLvuPvwvrGnzBVryPQqT/eiz7G8ukYzMs/AsA3cjw4q7F89x8AAlm98B9wPuY5T2FqrAHAX3gEngMvJn7aNZF78vfNWCeOxBRqiwr4jr0tfB0Af7cj8Y16CNuLx0XdK++FH2L57BZMlasjY7sfjamhAlPFiqix/r6nYF75KQD9i6dGjvc/A/OyD+lW9V1UQBuIT8PkspNnX8Spi/6vxT9Ppzr/RyBnfyzlX0Qdz3Ks4Y994wj0Ho5l4oSoc92rvqUwNwPf2a8AYP7y3nDYB9C3cga9Ln850l7U78P6ynBMpYsBOGLt43iuXwhpXZpPKBDA/NU/wZaEf+gdLc45xOPxMGPGjPD3gsSG7kPHoPvQMfzefbDr/wsiIiIiMaHAT0T2arXlRuCX3ikRgMx8443d2rLoT53uyxV+AKkjhtO4dCnOJYup//IrIFLRF2LNMtY/8paXEwgEMIXe4BSRfUJ8fDzx8c1/RtpstjZ60zVlx66f0yuyfcrDke0h5xstJw88F3wurHHJcP08TGAcLzwo+joH/iWyfctyTHHJxnp4pzyM1dxkzdYehxu/n/ksrP0Gy+BzwGL8kzrcjvLcybDhByw9joVR90eeE+DiD8FejKXPiEhQFHLR+1D0E9bBfzauec0cWPAGlkMug5RcY8xJ/8ZiNoOjCtwNWDIKjePZn8KCNzEfOwZzYqZxrV9ewnTgedjSOsGIsZCSAweej6XwUHDVg6MC9v8jpj4jjLkfezNsmQ8L38R83O2YE3NYMv87Bm1+Cwb/BVtiChx4Hsy4Bw4eDac8isViheP/Do8NgIYyzIdcjrngAOgzClYFw7UjrsXa+3j4wwXwVbBK9JDLMZ9wN8Qlw/25ka/BpZ9h7n4UfPZ3+Om5yPFTH8d84PnwwIfRX7Pz38WU3gWePSr6uNkGY5bCp7fB0g8wr/gEVnxinLPEw+1rYMIB4KzC+vZ5kJRtrLcIMOQiY71Evwfz8o8we+thzrPw0zNRT2HyOrE9fTDcuADMFljzHQTDvhDbkwfCzUshvUnot/EXeHl4eNfirIBTHgHL9r+P2u57TXaG7kPHoPvQMWzrPujeiIiIiMSGAj8R2avVVzcCkJKVAESCv1AQGOKwhwK/fa/CD4wqPyAc9gHYuhZGjbF1Md6s9NfX46+txZKR0ew6W/5xF4HGRgoe+Q+mpm+Qi4jEisUaDuR2WHJOZHtbP8vSOsMfzm/5nDUe9juh5XP5g41fLdnvhOjHZRTC8VtVf4Xmk5Rl/ArJ7Q8j/xXZz+oJo5qs8Ze9H5z6eGQ/PgVOmxB9bYsVCg81fgF4PKzJPZl+J12BLbefceyo62HwnyG1cySwtNjgwvegej30P804/tcpULMeMntGxh36N6gvhcLDYNDZkec97Er45SW44F3oHgzuDvs/WPIemMxw/tvQ+Q/GdY64NryWH3mDocfRRmh462p4pEkjz/PfNkLSI66GpR9Ev87TnzCqKkc9AB9cbRwLhX1ZveCMp2DEffBwT+PYQz0ijzVZ4Jbl8MktsOwjqC2C5Z9Al4OhydqA5A6AsqXG9qIpcOwtkXMz7omez7xJRpVo0/vVlM/DgM1vY1pkh4MvanmMiIiIiIiI7PP0bqyI7NUaaoxWnSkZRlXKNgO/YEvPpLR9O/BrKvXE6DerzYmJWDt1AsC9cVOz8b7aWmqnTsX+6ae4165tk3mKSOupr69nwYIFLFiwAIB169axYMECioq2v06d7IPyDzACQjBCt7SC5tWJnQ+AAadHjpvNRnjWdFxCGpz8UHTYB3DSg3Dbauh9YuRY9n5w/a9w3VwoGBK5zknj4Z81cE8lXPWdEfYBpHSCYXdBXCr838zItbodAXdsNCr4TGa44D2jShGMwPbc16PncmawqjApC465ufnX4m8zjCDx1MeN0BPgnYvg8QGRMee/A/83Cw4MBsKzHoaSJcb2greg6Mfm153zLPi8zY8v/RDbvzvTp+wTrB9fB9PGgNfVfJyIiIiIiIjs8xT4icgey+fx8/27q1g9r2ybY+qDgV9yMPBLCwZ+LoeXxobIOjyhlp7J+2hLz7hu3aL28+69B1NL7XkKjao/z6aNzc55SkrD2zXv/q+VZygirW3u3LkMGTKEIUOGADBmzBiGDBnCvffeG+OZyT7HbImuVgxJSDN+bc1kMqoRtw4dh94O/9hkBIRbX+fq2XDjQugzPPpcvz9C7xFGRd6dm6Db4ZFzf7gALE0+CDTiX0YlHxhVoCc/1Hxu3Y+GXseDNQ6OuMo45m2EiacYlXwfBI+l5MPYWiPUBAj4YPpd0dfy++Cdi6OPzX0Zfn2t+fOKiIiIiIjIPk+Bn4jssZb9WMzCrzbyxYtLqNrS0OKYhq0CP1ucJdy2s2mVX7jCbx9t6WlOTo7aTxw4sMVxcYVdgZYr/Gqnvhfernr1Vdybmo8RkY7j+OOPJxAINPs1adKkWE9NpPWl5kNGt+bHzWa48H9wzY9Gm8+mcvrAXSVwxddw1otGO9Om+p5srGUY0nsEXPqp0dIVoPOBcFIwFHTVwsc3RsaG2q9m7wcDzjC2f3oOVgdba3td8Gi/8HCvqcm/Txb/DwKBHXvdIiIiIiIiss9Q4Ccie6yVP5eEt9cuLG9xTLilZ2ZC+FikracjfCy0hl9y2r5Z4QfQ+2vjTUZb927E9+/f4pjQun6ejc0r/Kpeja44cPz0cyvPUEREpJ2ZLUZV3wHnNK8otMbBaf81Wob++RVj7b+tHXEV9Dg2+tg5k43rhZw6AQoOMrbfPAeKF8EP/4UG4982/gPO55M/vITn6uDfqxvnwMc3bHvObgd89ndY9A5UrN651ysiIiIiIiJ7LGusJyAisit8Hj9l6+vC+1tWVsPJPZqNcdYZbTtDa/iBEfgVr67FHqzw83p8uBzGujn7aoUfgK2ggH4L5kMggDmu5a+DLVjh59kcXb3ndzVfT8hXXdX6kxQREeloEtKar0vY1FkvGAFc9XrIHwx9T4o+n5QFR14L710Ofi883yQgtMThG3oHfL/AWBMx/wAoWWS09RxxHyRmRl9r3bfw6mnRxy7/EgoP3Z1XKCIiIiIiInsAVfiJyB6pfFMdPq8/vF+2oY7AVu2tGoJtOi1WM/HJkc83pHdKAqC2zAj8HMH1+yxWM/FJ+/bnIMwJCZgTE7d53pqdDYC3uibquGfLlvB21qWXGmMqFfiJiIiQVgDnToarvoMznzEqA7fW/7TI+oBhJrhurvH4kNGfgDn4b5V5k6KHBwLwya3Nr/3ycHDVNT8uIiIiIiIiexUFfiKyRwqt2VfQJwOzxYTL4aWusjFqTH1o/b7MeExN2nCFW3pWGIFfXZXxuOSMuKhx0pwl1VjfyG+3Rx33bDYCv/g+vbHmGKGgr6qyfScnIiKyp7LGG2sFnnC3sZ832FgPMLN79LiENDj8KmP7y7GwMdjms7EWxneBihXGfv5g6HJI5HHvXdGm0xcREREREZHYU+AnInuk6mIj8MspTCGrIBmAik31UWPC6/dlRK/LlxYK/IIVfvZg8BcKAmXbzGnpAPjqoisFPJs3A2Ar6IIlMwuAxhUr23dyIiIie7rjboNbVsKVs6D7US2PGXJRZHvSqbDsY/jvH8Bj/NuIQX+Gq76HK76CwsONYys/g9rNbTp1ERERERERiS0FfiKyR6oudQCQmZ9MRq7RojMU3IWEAr/krQK/ULDnsLvxuHzUBtfySwu2+pRts6QFK/zq6gj4Iy1Vw4Ffly4kDBwIgGv5clxr17X/JEVERPZkqXlgtmz7fO7+cNUPxrbPBW9fCM5gG+3MnnDGU5Gxl0+HgoOM7Q+ubpv5ioiIiIiISIegwE9EOiS/P4C70bvN86H2nWk5CaTlJABg36qlZ0Nwbb6k9Oi1chKSbeG1+mrLndiDgV96jir8fo85Lc3YCATw10cqKj2bNgLBwK9fX+K6Gy3IPMVbml1DREREdlPeQKNtZ1O2JPi/mWDb6t8zfUcZv6+bBUU/tcv0REREREREpP0p8BORDqexwcOb/5zDy7d8x5bVNS2OaVq9l5ptvLG19Rp+4THp0RV+EKnys5c7qa0IhoedElpl/nszc1wcpgTj6+QLruPnq6+nfta3AMT33g8Aa24uAP7a2hav43e723qqIiIiey+TCa74Bs5/F3IHwpnPwW2rITGj+dijbzTWBARY9Ha7TlNERERERETajwI/Eelwin6rpLbcid8X4NfPNzQ773X7cDmM6r+UzATSsoMVflu19HTUhkLB6Ao/iAR+NeWOSIWf1vDbIdacHAAaly0DwL1uHf6GBiyZmSQfeywAlowMALw1Nc0eX/HCi6w44EAqX3qpXeYrIiKyV7LYoO9IuGY2/OGvEJfc8jhbIhz/d2N77stQU9TyuPoymP0U/PdA+OzvULyobeYtItJBfPvtt5x22mkUFBRgMpn44IMPos4HAgHGjh1LQUEBiYmJHH/88fz2229RY1wuF9dffz05OTkkJydz+umns2nTpnZ8FSIiIiIRCvxEpMMpXhOpCtu0vBqfxx91vj5YuWeNtxCXYCE1GPjVVTYSCATC40ItPVuq8MvIM9brK11rp7HBA0CaWnrukNThwwGonzkTAF91NQDW/HxMZuOvFUtGunGuhcCv/LHHACh75FGcixe38WxFRESE7kcbLT8Bpv5f8/MNFfBIH5h+F1Svh5+eg4mngM/TrtMUEWlPDQ0NHHjggTz11FMtnn/44Yd57LHHeOqpp/jll1/Iz89nxIgR1NXVhcfcdNNNvP/++0yZMoXvv/+e+vp6Tj31VHw+X3u9DBEREZEwBX4i0uFUbIz8B8rn9VO6wR51vqHaCPxSMuIxmUzhwM/j8uFqiKz711C77ZaeOYWpAKxdUB4cE0dcgrUVX8XeK75PbwC85cbXLhTqWTMzwmNCFX7baukZUv/NN60+PxEREdlKUhaM/gQwQdGPsHZm5Nyar+E/+zV/jLsO/tMb7MXtNUsRkXZ18sknc//993PWWWc1OxcIBJgwYQJ33XUXZ511FoMGDeLVV1/F4XDw5ptvAlBbW8vLL7/Mo48+yvDhwxkyZAivv/46ixcv5ssvv2zvlyMiIiKC3t0WkQ4ntKZeSmY89dUuKjbWU9A7I3y+via6VafVZiEpPQ5HrRt7pZOEFBvuRi+eRuNTlUnpzVt65hSmRO3n75fRbIy0zJKVBYCvssr4PVjhZ8nIjIwJbnsrKrd7Lff69W0wQxEREWmmy0HQ5WDYPBdeOwOOux3qimH+5MiYXsPg9Cdg0Tvw9b+gsQaWfgBHXB2rWYuIxMS6desoKSlh5MiR4WPx8fEMHTqU2bNnc+WVVzJv3jw8Hk/UmIKCAgYNGsTs2bMZNWpUs+u6XC5cLld43x5cF93j8eDxtH5VdeiabXFt2XG6Dx2D7kPHoPsQe7oHHcPv3YddvT8K/ESk3ZWut1O6rpaBx3XBYokuNHY3enHajVac3QZksfSHYmrLHFFjGmpCFX4J4WNp2QlG4FfRSG73NBzBdp62BEuLlXupWQlkd0mmcnMDAIX9M5uNkZZZs7MB8FZVBX8PBn6Zka+hrUsXADybN0c91r1pq/2NWt9CRESk3Zx4L7xzsRHkfftw9Llhd8Nxt4LJFPzdDF+NgznPwAHnGlWCIiL7iJKSEgDy8vKijufl5bFhw4bwmLi4ODIzM5uNCT1+aw8++CDjxo1rdnz69OkkJSW1xtRbNGPGjDa7tuw43YeOQfehY9B9iD3dg45hW/fB4XC0ePz3KPATkXYV8Af4/PnF1Fe7qKts5Og/94k6bw9W98UnW8ntkcbSH4qpKXNGjYlU+EVadablJFKy1o69whgbCgVbaucJYDKZOOzUXsx8czl5PdLY/6jOrfMC9wGWLCPw81VUEPD7qZs+HQBrp07hMbbCrgC4t1qwvvb9940Nsxn8/maBoIiIiLShXkPh4g/gheOjj5/9Mgz+c/SxA86F2U9CTRF89nc4+8X2mqWISIdhMpmi9gOBQLNjW9vemDvvvJMxY8aE9+12O4WFhYwcOZK0tLTdn/BWPB4PM2bMYMSIEdhstla/vuwY3YeOQfehY9B9iD3dg47h9+5DqAvAzlLgJyLtqnhNDfXBNfiWzS7mqLN7R/1nyF5uBHbpOYmk5xqfcKwtb7nCLyrw65QYHGs8PhwKttDOM6TXkE70GtJpm+elZdYcI/ALeDy4Vq7EvW4dAOl/OjM8Jq6wEDBCQb/DgTn4aVV3UREA2ZdfTuWLL+KrqsJX34AlJTnqOfwNDfhqasKVgiIiItJKCobADQugbBlUroIjrgFLC//RT+8Cf34FJp8Jq78Ev9/4wI6IyD4gPz8fMKr4OneOfDi0rKwsXPWXn5+P2+2muro6qsqvrKyMo446qsXrxsfHEx/f/EOpNputTd90bevry47RfegYdB86Bt2H2NM96Bi2dR929d7of2wi0q7KNtSFt10OL1VbGqLO1wYr9NI7JZKWbbTsrKtqJOAPhMdEWnpG/qOUHgz8QhV+dZVGpWBqVqTtp7QOc0ICtm7dAKibbpSd27p2xdak3Y0lLQ1zejoQXeXnKd4CQEL//bEVFADQ8MMPzZ5jw+hLWX3i8GYVgiIiItIKsnrC/qfA0Te2HPaF9DgGbEngrIJFb7ff/EREYqxnz57k5+dHtdlyu93MmjUrHOYdfPDB2Gy2qDHFxcUsWbJkm4GfiIiISFtS4Cci7aqqODrgaxoAQqTCL61TIimZ8ZjMJvzeAI7gun7QpMIvM7qlJ0Qq/OyVxu+pwePSuhL23x+AyokTAYjr3r3ZmLiuRltPz8aN4WPeLcUAWDt3JuX4oQA0Llkc9ThvdTWNi41jdV980cozFxERkR1mscHhVxnbn/0dGmtjOx8RkVZUX1/PggULWLBgAQDr1q1jwYIFFBUVYTKZuOmmmxg/fjzvv/8+S5YsYfTo0SQlJXH++ecDkJ6ezuWXX84tt9zCV199xfz587nwwgsZPHgww4cPj+ErExERkX2VAj8RaVV+n58PHvuVyff8SMWm+mbnq4OBX2Kq8Wnyqi3RY0IVemk5iZgtZlKCoZ49WLHn9wdoqDXCv5Yq/OqrGvF5/eG1ANNyVOHXFtL++EcAAk7jfsX16tVsjC3Y1tMdDPwCPh+e0lLjXEFBeM0/X01N1OM2XXd9eNtXFx0Ii4iISDsbdhdkdAdXLaxvXpUvIrKnmjt3LkOGDGHIkCEAjBkzhiFDhnDvvfcCcPvtt3PTTTdxzTXXcMghh7B582amT59Oampq+BqPP/44Z555Jueccw5HH300SUlJfPzxx1gslpi8JhEREdm3KfATkVa1dkEFm1fWYC93MvfTdc3Ohyrweg3JBWjW0jO09l6oFWeorWcoCHTa3QT8AUxmE4lpkfX5ktLisNrMBAJGC9C6ykhwKK0vVJ0XEqr4a8qaGwz0KisB8JaXg88HVivWnJxwy09fTXS1gHPevPC248c5rTpvERER2UkWK+w3zNie+zIEAtsfLyKyhzj++OMJBALNfk2aNAkAk8nE2LFjKS4uprGxkVmzZjFo0KCoayQkJPDkk09SWVmJw+Hg448/pjD4wUcRERGR9qbAT0RaVdHSyvB28epaAk3eFPK6fTjrPAB0G5AFRALAkHC7znSjei81tI5fsMIvFAgmpcVhNpvCjzOZTKQFq/xqShzUVRnj0rIV+LUF81YLzScfc3SzMdYs4x57q6oA8ATbedry8zFZLFgzMgDw1UYHfpacnPC2c+FCvNXVrTZvERER2QUHng9mK6z+Ehb/L9azERERERERkRYo8BORnbZsdjHTnlpIdUlDs3MVGyMtOh12N/XVrvB+XZUR2tniLeR0TTGOVTcS8BuhoMftw+XwApH1+VKDgV2oYq8+eI3UrOjACSAzLwmAjcuqCPgDWKxmktPjmo2T1mHNywOg0003YgtuN2XJyATAV10DgHvDBsAI/IBIhV+TwC/g9eILBoSmYKjoWrUq6rr+hgbKHp+Aa+3a1nopIiIisj3dDodjbzG250+O7VxERERERESkRQr8RGSnuBu9fPv2SjYsqeSz55dEnfP7/OEWnaHqu5oyR/h8KPBLzU4gJTMek9mE3xvAYTfW5AtV91njzMQlGGsehFt6Biv8QtdIyWq+Nl9m52QA1i+pDD+PqUkVoLSu7m+8TucHHiD7iitaPG/JCgZ+wQCv/ptvAEg8+GDjfHqGcb5J4OetqAC/HywWkg47DADX6tXh84FAgBWHHkbl88+z4YILW/cFiYiIyLYN/JPx+7pZsHBK8/OBAGyeB9PvhvevgpVfgN/XvnMUERERERHZhynwE5EWOevduByeZsc3LavG6zLevKkubsBZ7w6fa6h14/P6MVtNdO0fbNlZFmnZGWrLmZqVgNliJiXDqOAKhXmO2mA7z4x4TCYjqNu6pWc4NMxsHvhlBQM/e7BNaEaw4k/aRlzXrmScfRambSxIb800Aj9vtRH4hYK75CMON84H1/jzlpXhqzcqQ10rVxrX7t6duG7djPMlpeFrNi5caASCgK+6Wu0+RURE2kun/eGAc43t96+E2s2RczVF8OY58OIJMPtJWPhWZN/rbvl6IiIiIiIi0qoU+IlIM846N2+O/YlJf/+BknXR66tVFddH7RevjpwPV99lxJORZ7TibLpGX9PAD5qEeVXBdp1brd8XPcZo/VkfXJsvdLypvF5pUfsFfTJ+97VK27F16wYmE54NRbjXr8dXaVReWoNr9Nlyc7F17Qp+P875CwBoXLoMgIQBA7DmZAPgrawIX9OzZUvUc7jXr4/aL3/6adb/9Xx89c3bzYqIiMhuMJngzOcgs6ex//gA+Pp++OIumDAYVk1v/pjiBfDBVe06TRERERERkX2VAj+RfdiGJZWs+qW02fGVv5TSWO/B6/Hz23fRAUtVsSNqv2kFX2R9vQTSOyUFz7fc0rPp76EgsKHa+AR4ckYk8EvJiMdsNuH3BWiodW+3pWdadiKZ+ZGqvm4Ds7b94qXN2fLySDz4IAAc8+aFW3dagoEfQHy/fgB4Nm8CwF1UZBzfrxeWbCPw81VUhsd7KyLhH0TWBQypePIpnPPnU/vBB634SkRERAQAsxmOuy2y/+1/4MenIvu9hsH1v8Kdm2HwX4xjS96DNV+37zxFRERERET2QQr8RPZR9dUupj21kOkv/0bZBnvUuU3LI20SS9ZEV/jVlBoBXlZBsH1mZZPAr9qovkvJTCA9t4UKv6qtKvyytgr8gi09U5oEfmaLmZSs+OA4J/XVoWtExjR14ugBdOmbwXHn9SW7IGV7XwJpB3FdugCRVp1YLFjS08PnrVlGKOsNrvPnKTYCZltBQbgS0FvZJPArjw78XKtWhbd9NTVNxpW30isQERGRKEMugGt/Bpqsk2y2wYVT4eIPIHs/iE+Bs1+CnscZ59/7G7gdLV1NREREREREWokCP5G9XF1VI0tmbQqHbSErfy4Jby+bXRx1rmpLpG1nTakDd6M3cr1gONelX2bUfui5AFKy4knvFAn8Av5A1PltVvjVRNbwayo0rnJLA846Y13BlBbW8API65HGmWMOYvDxXVs8L+3L2slYp6/q1dcAsGRmYjJH/uqxZBuBn68yGPhtaRL4BR/rKS4mEDD+DHnLygCI69ULAMfcueFr1bz3XnjbPm0aAZ8vvF877RM2XnW11vwTERFpDZ36we1r4ZYVcOV3cG8F9D6x+bjTnwJrIjgq4bep7T9PERERERGRfYgCP5G9WCAQ4N0Hf2HWWyv57u2VUecqNtaFt8uLItselw97ZXQ4GArqPG4fjQ1G4FbQOwMgamzTCr/U7ARMZhM+j5+GWhd+f4CGGnf4PESvz9f08VsHfhm5RpvOTcuMUMiWYCE+ybrjXwiJmVBoF5L4hwOjz2cF1+mrqiTg9+MtNoJoa+cC4nv3BosFX2Ul3tJSAj4f9T/8AEDG2WcD4F67Lnythjk/hbc9mzdHVfltufVW6mfOpOyhh1vx1YmIiOzDkrIgNR86H7DtMZnd4bhbjO0vx4Kjql2mJiIiIiIisi9S4CeyF6iramTqf+bxzvhfcDk84eO1Zc5wRdzGpVX4g5V2AFUlkbZKlVsawlV4teUOCEB8spWcQqMlZl1FMJALBnO2BEvkXKUzXH3VtGWnxWImLRjo1ZY5cdS6CPgDmM0mktLjAMLn6yobCQQC1AXbg4aCwJDMfKN96NoFRoCTlpOIyWRCOj5rQUHUfvZll0Xthyv8KirxVVURcLvBbMaWl4s5MZH4YCVf4/LleMvL8VVUgNVK2mmnAuCvqyPgMf6Mb93G07PFqFwNeCMVqg0//hg1xrl4CWWPPILf5drdlyoiIiItGXIxJKRDQznMnxzr2YiIiIiIiOy1FPiJdFDuRm84SAup3FzP5Ltns+ibTVHHl80upnhNLeVFdaxfFFnjbMuqmvC21+OnaksDAH5/ILwWH4DX5QuHdXVVRvCRlp1IWo7RljO0Tl998FxqVgKpmQlgAq/bT2O9EbiE1tdLyTQq9Jqu49e0es9sNgXHBa/h8VNf7aKh1h187q0DP6PCL/TlyO2eut2vnXQcKUOHkjBgQHg/FOCFxHU1Wq+61q0Lt/O05uZistmM7bw8AHxV1eG1/KxZWVizsyEY+vpqjXUmQ4GfOdX48xFaD9A5f374+bylpeG2nn6Hg/V/+QuVL71M1aRXw2MCfj+Ny5dHtQQVERGRXZSaB8PHGdsLp0T+QSciIiIiIiKtSoGfSAe04bdKXrzpW+Z+uj7q+M/T1mGvaOS7t1dGrcm3ZVVkXbJNyyPbVSUNUY8PhXwNNS58Hj9ms4mMPCNMqy0PhXqR0C5UaRdq21nXJNCz2MwkpxvBnr2iEY/Lh6vBqKRKzTIel97JuHZNmSNqfb8QizVyjVA4aY0zk5Bii5p3bo80mhb05XZPa/Y1k47JHBdHl8cfI+WEE+h0881YMjKizsf36QMmE76KCpwLFwFg69w5fN6SaawV6auuxhcM/CzZ2ZgslvC1vFVVBLxefFVGm7DEwYON48VGhZ/98y+intO9Zg0AlZMmRY6tXx/ernz5Zdad+SeqmpwXERGR3TDwTLDEQ9lSmP96rGcjIiIiIiKyV1LgJ9JOPG4fPq8/6ljx6hre/fdclv6wJer47PdWA/Dzx+vCa+YFAoGoMK9kbW34eOn6JuvxbawPb4dacYaEKvXqKiPhW6gKz14RDPyarMOXlp0YdZ3Q40KBXlo4EHSGq/viEizEJRrr66V3alLhVxW5blNpOcb+xqVVwf3m7ToTkm3k9TRCPpMJeh6Yg+w54rp3p/CZp8m58v+anTMnJRHXrRsAFU8/DUDCwIHh85bMDAB8NdV4K40/I9asrOC5UBhYg7eszKgYsFpJGGhUFIZaem7d6jMU7nk2bw4f89dHvm/KH30MgLL/PBI+1vDjj5Q++CD+xujvKREREdkBiZlw+JXG9uwnYjsXERERERGRvZQCvw5i69aNTT2z4BleX9ryJ2HfXfkuN3x9A06vs62mJjupscFD6Tp71D11OTxMvms2b477KRyoASyetZmy9Xa+mbw8HJj5fX5qyyL3s3yDEebVV7twOyNrkVUXG9V7DrsbryvSetDeZE29UMAXWm/PHg7ujONpOU3adoYDv0gVX9NAD5qs0Rc8ntpkDb5IBV8k0Au39CyLBIKpTSr8ALI6G+vzrZpbGrW/taHn78/+R+Zz4ugB4apA2TvE9+sHgK+mBoDU4cPD56zBUM9bXY2v0mhXawkGftYcI/j1bN6Me8MGwGgRautitAn1BCv8QpV/luD40FhvRaT9rbuoCMBYQ7AFRZdeRtWrr1H22GPhY76amnB7UBEREfkdx90KZhtUrIRNc2M9GxERERERkb2OAr82cu8P9/KnD/+Ew2O0UHR6nWypN6q4PH4PX274Mnzut8rfGPbOMN5d+S4A/oCf6kbjTeSNdRt5duGzPPTLQzg8DjbVbeK6r67jsbnGm873/Xgf32z8hvdXvY/dbefD1R/S6DWClUAggMfnCT//G8veYEv9Fnx+H+N+HMd7K98DoMHTEH4+aVkgEMDl8ESFeH6fn1lvruD9R3/F0yRw+3LiUv730FwWfLkxfGzjsmqcdR7s5U4Wz4ysv1e8pia8XbLWDhhr6DWtBKwOtuEMrb8XUhUM/EJVd4mpRhtMT2OktWYo4OvSzwhN6oKhXqhFZ2p2Auk5oSo841i4wi8rntScSKDX9PdwhV94jb/GqMrAkIzcULvQJi09t6rwyyowwki/LxDcbznwy+mawomXDKDf4fktnpc9V/z+/aL24wq7hrdDVXze8nJca9cFzxcCkDBoEADORQsjgV/37tgKjJagoTUBvcHAL1T55y0rA8BXHh34BQIBGn75JWouoecMqX5tMn63m4DbzdrTz2DtKX8Mry3od7spe3wCzt9+2/kvgoiIyN4uIR0G/9nYfu9y8GznA4vOGqgva5dpiYiIiIiI7C0U+LUBp9fJ+6vfZ3XNan4u+Rmv38v5n5zPKVNPYaN9I++vep+bZ97M5V9cDsDY2WOpbKzkvh/vw+f3cd608zju7eN4buFzlDSUhK9bVFfEXd/fxaxNs5j428Soqr7KxkomLZnE3T/czZUzjHY5E3+byMGvH8z8svk8t/A5/v3zv7li+hX8WPwj/1v5P8b+OBZ/wM8Fn1zAH6f+kTKH8Z/qenc9/oARODV6G3H5jCBn9ubZTJg3AZ/fx4KyBdzx3R3UNNbs9NdnaeVSXlr8El6/l4XlCxn/03jsbvs2x2+s20idu26b51tbydpa5n4aaaUJsOjrTbw05js++u8CAn4jmFrxUylLvt3MllU1bFxmBAruRi8blhhv/s9+b3U4INy0vCp8rcrNRutAh90dbnMJULrOaNFpL49+86MmuA5fKOCzxVuM48EgMFSZl5mfTHJ6HAC1FU5cDk+4IrBrMPCr3Trwy0oIt9RsXuEXaenpcnhxOTyRCr+srSv8nC2u0ZeanYDJBF63n7L19uD56MAvVH0Y3u8avS97v4R+0YGfNS8vcq5/fwCc836lcelSAOL79jXODTACPPfqNbg3GBV6cT26h9cA9JQYPz9Da/8l9NvfOB4M/Jq2+gw4nXjLysLBYYhz/nx89dFhu3v9etybN+MtK8NXXR1uRVo1cRKVzz/P+rP/HB7rWrWKsv/+F7/LhYiIyD5vxL8guRNUr4cVnzU/73bA1/fDo/vDI33gvmz4+gGjbbeIiIiIiIhslzXWE9gbraxeGd6ucdUwbe00VtcYa7L9VvUb0zdMB2BJ5RJqXbVRoV6Jo4RlVcsAmFs6l7ykyBvf6+3ro8Yuq1wW3nZ6nXxT9A0Av5b9SpmjjMfnPQ7AxCUTWVG1AjBCw3pPZK2qFVUrWFO7JjwuNS6VZxc+y+GdD+eJYU9w3ifn0eBuYOoZU7nySyNIPLDTgdzwzQ0AdErsxJDcIYz7cRwPHPMABckFTPxtIuf0PYe3V7zN8qrlPHnCk0z8bSIzN87kzT++ybnTzgUg3hLPw788DECcOY4bDrqBReWLGJA9gBu+voGD8w7mtP1O45Spp9AlpQufn/05pQ2lpMSl8M6Kd/hg9Qe8OPJFtlSV8MuaBYw+9q/M2TKHIblDcNZ6+Xjpp4w6aCgpcUaAtPGneubPXM+wy3vjTm5gQdlCMn/enw2LKzn6L31I2d/Pm8vfJPfjI7CXutiwpJKzbz8EgDXzjYBg0/JqKsvs2BMrKV0Xaf1XvKaWXn/oRPHq2qg/C/XVLlKzEsIhH0Qq9UIBW0hl8HjtVsertwr2CgdksXZ+OXWVjQQCgXAVX1p2glGhVOvGXuHEbDbWwUtMtYWr5uoqG/H7A+FKv6iWnpVOAv4A9TWhSr14bPEWElNtOOs81JY7aQhW8W3d0tNe0UhiqhE2pjap4LNYzaRmJ2CvaKSh1h2eZ1N5PdKi9rv0zUT2LfHBIC7EZI381ZQweDDm5GT89fW4li83xgcDP2unTgB4KyvDQZ2tWzesnQsA8NfW4i4qwldbG7yWURHoLS8P/8JkwpKRga+6GveGDXiLIz9jAXzVVeE1/0I8W7ZgskTmWP/tdwC4VkZ+9nurq7GkpbH2tNMBsCQnk/23v1H64IPUzZxJjzffxJqdbczT7cYcF7dTXzMREZE9UkonGHIhfP84TLsJsntD5wOMc1Xr4MUTwBn5oBx+L3z7MBCAE+6OxYxFRERERET2GAr82sDSqqXh7Y11G2nwRKpDqpxVZCdkh/fnls4NV9AB4So7gEpnJZvrN4f319eup84TqXRbWL4wvL25bjMFKQVsqjfaRX669tPwuayELDz+SLVaVZP/RP+w5Yfw9m+Vv4WDyZ+Kf2Ly0smsqzXa2b2x7I3wuF/Lfg1v17nruPGbGwF4cv6TLK00XnuDp4EZG2YA8Pfv/s78svkAPLvg2chrL4ms3bG2di1XTL+CX8t+5ZSep/BTyU/8VPITCRhh1Ob6zayqXsWl717JsJqzmJ75Fo44O0/OfxLXx7l0q+nPnZvu5wvvVPql7c/QWZdjbszn37+8xG/dZuFzBTjnh3sAePyl1/i655vEuZK4eN6/AJjz1XI+Ln6ataUbuLR0CGC02HR7PLy/+n2qN3QKz/XR6U8zLfAWt2x+InysdF0tDo+DyuLoSsTxnzxGtwMycW7qSjzB0K2qkQ+WfUR+Re+osbVljqjfO3VLpbyoLhz0hdppFvTJYO38ctyNPuZvXERthdHKMzU7Aa/faC1aU9aAKRj4pWYnkpKZgNlswu8L0FDjClf4pWUnhEM7V4OX2nInfm8ATJCcER9+vLPOQ8naWvz+AGaziaTgGnrpnSLr/8UlGJWHGXlJUa8rvVNiOJQ0W01k5Eeft1jNDBrahSWzNtP3sDziEvVjaV9j61JA1ujR1H7wAYUvvhB1zmQ2YyssDId9prg44rp3A8CaY/ws9VZWgtkoWI/r3gNLSjLm9HT8tbXYP/scgPg+vYnv1csYX1KKc/Fi43jv3ljz8mj4/nvcGzbgKY0O/LyVVTh++inqmGfLFkwmU2S/pISAz4fPHqlUdvz4I766SNDv3lBEwO+n6tXXAKieMoVO115L5csvU/boYxS+8AIpxxyNz24n4HZjzckh4PVS/eZbpAw7PtzGVEREZI93zM2wYTZs/AmePxYOHg315bDik8iYQX+GAafDl+Ogag18+wj0OBZ6DY3ZtEVERERERDo6tfRsA6GKOYBNdZuodFaG9yucFVQ4I+tGFdcXR7XmDAVmYAR+oXX/wAjFmra2bBr4barfRFVjJMhbXLE4vG1326MCv411kbXl5myZE96ucdVErVE3v2w+Zr8Zs98cFfL9XPJzeHtV9Sry6nqQ7uwUbgNq9dlYvyWyTl25o5yc+q7k1Hflt0pjbatkVzopv/YiyW1UdznqG+k1YzgXzBvL/GDbvry6HjQ835Wha86FAIz9cSwnrLyQ/LUDGL7yEuP5y9bQvWYgJsxk/Wy096vcUo+50aiWSSvtTLmznPTyLuH5pNd2xhvwkuGMVE+WFdlZVrmMvPoeNPXEzOd4euYL+DyRr8uWjZUQiF5Tr3hLFYe/eTjv/fpx1OO3FFXywryXiHcbYZ8fI5B7/Juneea7l4xjXYyQoLbSycryVSxYE2xb2N0bPj6raBYbtxhBxFLffHwJRkg8ZtrfmbPSuDefVn7Iu8VvAvDO3Pd57ae3AEjJjsNsNoVbbX6x8Btqq4xQcYt5A/Or54XX//vk+5kABBLdfLzuI+NrGAwE1y4tBcCaFghXD6ZmJmCJM4LEsg3Gn01Pan34z60/4MebGvnzndMlBYul+Y+d487ry8UPHcEB5+Y0Oyd7P5PJRN4df6fvnB9JHDy42Xlbl8j3b1zv/TBZjHA5XCFnt+NeY/zcjevR3XhMsK2n4yfjZ1x8nz7YunYFkwl/fT2NS4yfRbbu3YjrbjzGU1SEd0uxMT7YZtRXVYVr3dqo+XiLi2lcvqLJAS/esjKcixaFDzmX/BZVGRhwu6L2PcXFeMvLKfvPI+D3U/POO3grK1k9fASrjh+Ga+06Kl54gdLx41n/578AUPrwf9jy9zsI+HwE/P7w2oEiIiJ7lIR0+PMrYDU+OMa8SZGwLzETznsT/vwyDDgDbvgV+p4EBODdS7a/7p+IiIiIiMg+ToFfG6hqrGJgyTEcs/ZsNtk3U9VYRbfqARy24VTKG8opd5aT4sqkR+UBLK9cHn6c2W9mYVkkxKtx1USFc6Fqu5DlVZHHljpKo4LF9fb1dKseQLIrnZKGEuxuO1ZfHJmOPBaVR96UXlWzKrxd21hLblkvbD4jGFpfu4Ezl9zMX+ffQ1GlEeDFeRNJWFpAnNcIgco32/nTkps5e/GtlNUZ62GduOpihn13Bbl1xpvoaUVd+fPi2zh78S2UbqoB4I/LrqFg9WCOXn8WAA3rTOQ4upDqzqRbudF2r2flAZgCZvqXHUXnuv1YWhIJ5ArqemPzxVNbFGmrmeRJh4CJnIau4WNZjs4QgAxnbvhYpiMfs99CZpPAL8GXTKoriyxHftTX+LvFP5Pe2CnqWKYjnzhfIvHeJpVqDgtWXxyuGiP0bLAZrzOtMZu0RiPEarQ0UJFsfB3TXNmkuIzWlfP5EbelEVPAxOX/u5rKUiM4e6F8Al6TB1PAxJ2f/TN87afXTKDCaoQSqY3ZmOuMcPOHuplUxwdDuYYkykqrAfis4kP+t/J/1CUagfAnP3yDOWDGa/Iw+tuL+Nv0vxGXYbyMefOMNrEllo3c88M9PL3gaWbXzQRgzVLjOdf5VzF9/XQe/OlBTn7/ZIpt0Wuenf/9Xxj13ijcPjdvr3ibd8si1aGL43/ijA/OoNxRzvKq5Vz06UVMWT6FCmcFd8+7k+H/G86CsgV4fB7u/O5O3l/1vvGctet4afFLXPTpRby46MXwsbeWv0WDpyEcVC8sX8izC56NamMbUu4ojwq0Q+aVzmN51XIcHkezc9IxhCrzAJIPPyK8bU5PB5stMtBmw5ZvfA/bCoy2ns4Fxs9Ua24e5vj4cHjomGtUGFuzc4wgEPBs3oJ7k/E9mnjggYBRPeirNL534nr2DI8LrScY4vjlF/y1kZa+3pJivBWRD3d4thTT+Ntv4f3GJb9RN3Nm5AImE/XffIPfbgevF+f8+TTM+hYAX20tfoeDqldeofbDD2mY/SNVr77GqqOPofajj/A3NLBh9KVUPG9UR1Y8/wKbrr8ev8uFr76e6ilv42+IXodQREQkptK7wpWzoO/JkWM9j4Mrv4P9/xg99k/PQUIGOKuNcFBERERERERapN55bcBeV8+x6y4C4PtNm6jLcnDKcmP9u/XrvsPp9XLhr2MBWJL9CVZfHKNWXEZ+XS9+sr0NQL69F92qB7DC+j0ApoCZLZUlEOkiF9Xus7axlh7VgyAhgeqkYlwbrJyy/Eqc1nreTryfeFcyf1pyM2mubKb6HoNUGFw8lJz6rnzX6128Fje5RX05fu1f2ZS2kmkDn4YtSeQ2GK3zbKXpkLmZk5b/jYK63iQ60vih51QKyowqmDhfAvEVGcQnOelZbazDcVjRqUwb+DQ51UbwZ8JMJ3s3XCYnWU7jTfn9KocwIzCJ1PpIZVdGMHTLaIwEcp3qCwngj/o6ZzryyWmIVP7Y/HEku9OijiX4kknypEWFdmbMpLqyyHTkRV0vw5lH2lbhXoYzF6/ZqI70mbxYAlbSG3NIdWUB4LDVYfabSfAlk9aYQ5rLqDjalL6SfhWHGceCgZ89oRJ7QiW5Dd1Ja8wmNRj42RMqqU0op1NDIRmNuaQ1GteoTSinLqGSTGc+ufXdsPmNILY+vpq6+Cry6nuQ3pgTDg7r4iOBb1pjNj6TUSFYYtnIuB/f4TjXOQzgaLrU9glepwpMRgA21/kjfTiErrX7h58b4LmFz9HPdxi5DCDBlxw8V8Yts54KP1dl0pbwn5P6pCq8FiOEvfSLS1lUvoj4nCQGlB5Fsjud6Slv01BbwwnvnhB+/ILyBTzw0wPh/Qm/TqBLShemrZ3GtLXT+GLDF/yw+Yeo8ef0O4fTPzDWRhv/03hO63Ua448dz4WfXhge99i8x1h8yWKemv8Uzy96HoDcxFwuHXQpFw64kBVVK7hvzn3hANxsMvPkCU9ybJdjw+0aPT4PX2z4gmWVy1hWtYw4cxz7Z+3PEQVHcETnSPAkbSvrsktpXL4c1/LlZJx9Vvi4yWQiacgQHD8bVcdxXbuG1/8LVfj5HUaQG1rvL657dzybNuGYb7QZtubkhMe6N2zAW2qE5slHHUnNO+/gXr8eS7bx/Z4weBDudevwbNmCp8QIwM0pKfjr68PBYohnSzHmpMTwvmv1ahp/i4SErpUr8Wze3GT8FpyLl4T33RuLIFjJCOBcsCC8Xf/dt1S/NhmALbf/nS6PPYpjzhwcc+aQcfZZlD9urN9q/+wzaj/4EMecOTQuW0anG2+gcfFiko85hsbly6l9/wM63XQjrmXLqPvyKzrdMkZrCYqISPvp1A/OnwJ+H5gt2x6XmAkn3gufjIEvx8J+J0Knvu02TRERERERkT2FAr82YNmSHt621aSSao+ESK5yKGjsH95vLIF+HEZhbfDYpiTSM3I58zdjXbyapFJqO/3C8Wv+Su+Kg5g6+DEqkzfTo/IAutcMYE63j3DZHPSuOJjhqy/GHl/Bm0P+RZcqI4hL9KaQV9HLCJKCYVSBvTcVyZvC1XUmTHzd53UGlB4FQFd7XzIdnelVeWB4ngX23lQnllBQZ6w7N7hkKD/0nEqX2sh/tgtr+pPsibz2Tg1dIRCssgvKchTQEBdZ5wogozF3qzHGdnaTY5nOfFzW6Aqs9MZO4TCt6bFmFXnO/GbH0hqzyXDmb3Ush/Tg9WoTyklv7ESqKwu/yWjDuTFjOT2qB5HWJPCri6/EFDCT0GAEfqmNxvHNGcHAzxUJAe0JFdiDoVyqKzt8jfr4amoSyujUUEi+vRc2fzx+/NTFV1EXX0WmMz8c0jXYavGZvdTFGxVH+XW9MGPBZ/LSEGcnEAzwUlyZ4XmHxtoTjOfuXLefsR8faQEbmle8LzH4+iOVSRXJkVACoDKpOGp/c8YK+pcb4dfGlEhVXShIc9kc/O+A/2AJWPFYXPyeeaXzmFc6L7zfNOwLOWbKMVH7H6/9mCWVS5qNu/DTC6Na35Y5y3jol4eodlXzwqLoteL8AT/XfnUtwwqH8a+j/8VrS19rNgaMdS9fXvIyXVO68sAxDzC402Bs5kiVWb27HqfXicfvYWPdRorqiqh317O5fjNevxHCFqYWkpuUy5EFR5KdkB21Hpw0Z83MpNuLze8FQOrwE8OBX9IhB4ePhyr8wtfINap8rZ2D3/ceI8i35mRjCx4LVeCZk5JIPsL4M+3ZtAl/vbEWX+KgQdg/+hj35k3hqr/EAwbTMPvH8JqAWCzg8+EpLsaSlhp+fl91Nc5gyAiA349rWaRK21NcjDUrK7JfVIRr9erwft2XX4a3G2bPxtq5M95i43ux/ofI90jNu+82ucZGHHOMlqa1H3xAw48/4ikqIuuyy6ieMoWAw4G/ro7aDz80XndyMu4NG7B17UrO1VdR9uhjpBx7DMnHHot3yxas+flGKFpeQdIhB2P/5BOSjzkGS2Ym7vXrievWLdxuVUREZIdtL+wLOXg0/PY+rP8OfnoOTn1s22NrN8GmudD5QMjq2WrTFBERERER6egU+LWB1PJI5Vh2XRd85sj6edTEk04kpEp0ZJBIJCTLcOaGK7nAqGwrTl1Lv/LDABhUcgyzer3N0LXnkuhNIaehK+8d8AgHbx4JQJorJ9iaMhKW5dZ3J8mTFplTQxdy67uF97vW7g8BE2muyLzy63pEtcHMretOacr6qNeZ4sqMaouZ0ZgbrhgDiPclkexOj5pLtqNzOIAKyXTkk+WMjEl35ZDoTiU1GJSFxjhsWwWFztxmFXnpjZ3Cr8NrcmMNxJHamBUO/Oriqkl1Z5LmyiEz+PqKU9fQuW4/0htzwtfblL4yHPiFKgs3pRuBX4IvOdw2tD6+mgABchu6kdvQjTi/0ep0c5rRKjXFnRFuE2pPqAi/9rTGbFKahIahirpuNUbw2xBfjd/swx5vBG8F9j7BsVVRv4eCwLpgtZ7DVhd+3aEKya0Dv5C6Jvtbn6tNLAtv1ySWRp2rStoStV+UsQyntY44XyKrs3+lJX6zL7x+YVvZuuUtRK9z2VRLQV7INxu/aRYotmRT/SYu+fwSUm2pDO40mB+3/EiA5i1Dd8SF/S/kL33/Qs/0nuHwr9ZVy/QN0/l247f8Wvsr/3733/TK6MWo7qM4pssx9Mow2ly6fW68fi82sw2bxba9p9krJTRZ8y/zggvC24kHRK8FGN/X+HCCLb9z1HFbt25RawQC2AoLsWRkYMnJwVdRga+mxniugQMB8JUHA3GTiYSBg2iY/SONwcAvcdAgnAsX4i0tbbbGXtM1/gAaly0Lb/sqKnAXFYX3G+b8ZLT3DKr7+pvwtresnIDXG953/DI3vF37wYf/3959x0lV3f8ff03d3hvbaNKrsggCIkVKQBFijZ0IJliiSNSAJir+jHw1kRCNaFTU2IkFG6gQFBBQFASpAiKwlIVddtneZmfu74+7O7PDghR32Vn2/Xw85sG9555777lz9t45zGfOOb5jrFzpXbZGRuCqPn7BvHkY1T0fCxct8ubJnzfPG0R07d1L4fz5HH71VSLHjKHwo4+Iue46Cj/7FHfOIaIuu5SCd9/DnphI9OWXc2j2bJL+/GdKV32NNTQUizOIiu3bSX/+OUrXrCG4cxfKN6zHU1ZO5OhRlH3/PbboGLIfe4zYCTdhsdsJ6tABW3g4IiIidVhtMGCyGfBb/SL0uBJaHjHaQmUpfHQHbHofauYvv+Rf0Ov6011aERERERGRRqGAXz2rMqoIKfUF1+JL0vwCVTGlLfwCgNFlRwwhWZ6EvVbAL64klTZ5vi+uE4pbEVERS0iV+aVoQkk6Qa5Qv8BXcuFZJBSne9ejyhMIq4z2HbM0lRZFvjmxQl0RJBanE1wVVqtcSX6956LK44k5okdcUlFrQqp8PVgiy+O8vcpqpBV09AbBao4bHZztlye2NNkb/KrR+nA3v/XoskSKg8w56Yqd+YRXRhNdlkhUdVAwJ2wPCSXpRJUleoe43Be1nVb5XYkrTSHUZZZzT/QWumT3J74kjTCX+Z7sjtlEctFZxJYlE1FZs+9Wuh4cYPbCq47h5Ibup8RRQJgryhdoc+bhsZrXXLsXXokzn0pbOU53sLcXZEHwIUqc+YAZhHV4nBh4KHbmUxBiBvxqAp8F1T3uagJx0eVmcNIX8DPTa95b73CeFoPC4DzvkKlGdU9BgMNHBO5qDwFaM7dgjQMRvuCZ21pFdthuEkvMoVmzwzP98lbay3gt4yGshu2EevCdaYpcRazcv/L4GX/Ga1te47UtrxEdFE1McAwFFQXklfsHxnGZvSbX56znb6v/RkZSBlWeKr+g5sVtL+Yv5/2FUEco721/D4fVQWxwLD0TerJs7zI+2fkJfZP7cmHLCzEwWHNwDRe1vQir5djTuRqGEdA9EEN69CDq17/GnphIcKdOvvRzzvHLF9yxJuDn+5GCxeEgtFcvLMHBWKOivHPwOVuaz09HYiLu6nn4rKGhhPToAXY7VAfbbDExONLTap+GoI4dKdu82exBWFWFJTiYoHbtKN+4EY6YQ7Iq2/9ZWLmz1n2X51//VQcOeJdrBwIBbyAPzGFJa9QeBtQbpMTsbVijJvAHeIN9AIXz5/uWP/oIgMOvveZNK3j3Pe81HJo9G4CDjzzCkXZeehmuPXvMuRare1Xmv/MOpatWYY2MxFNYaM5/WFpKUJfORI25BDxurGFhlK5eQ1i/fhQv/5LIUaMoXraMqIsvpvDzL7C2blXnXCIicoZrdyF0vxI2/Bc++RNM/B/U/NipLB/+ewPsXOq/z4e3Q3k+9P/D6S6tiIiIiIjIaaeAXz0rNUq9QzUCRFTEYvf45kSKKUui0lbuXTd7nvm+TI8uS8Tu9uWPK02lONT35Wx8aSqdSnr7nbNd3jnYDN9QOOn5nQlyh/qdoyYIZp4jwdtDrUabvJ5+6/ElqYTXChKGuaLr7NPycBe/9cjyeO+QkgYeLFhpVR24K3UUEeqKINQV6T1OXkgWsWXJpBV0xGaYw1IeDjlAfGkarauDnPsjfiSlqB3B7jASqnslZkZvokv2AOJKU7zXtSd6Cwkl6aQUtsNm2HFbqjgQ+ROt8ruSVtCxugyF5FYPT1lT9hJHATlhewC8+SpsZd60iHJfL8PC4EMUBucS5oryDotZEHLIG+RMKm4N1PS2g8KgQ8SXphFRaf49FAYdoiQoH8AbsC1xFuCxur09/Gqfy/zXv4dQTdAzPyT7iPy1hucMzvEG/PJCDngDkvkhB7xBSPAP3OWG7qfCVkaQO4QyezGlRwy7uuSsNxn643WsTf0fbpuLI7mtVbipqpMuJye/Ip/8ivwTylt72NMaNfMe/pwle5fw2LePedfvW34fI1uPpKyqjPSIdNIj0il1lbKnaA/d4rsxa80s2sW0I7s0G6fNSb/kfgxvNZyskiwubHkhB0sPkhyWzLcHvqVnYk9e2fQKo9uMZvXB1fRK7EWrqFbYLDasFisew4MFC/kV+RwoOUB6RDoGBnarnRB7iF859xbtJTY4llBH6JGX4Mdis5Ey49G66XY7IWefTdm6dUTVmvcvpFcvX57QUKwh5nmD2rb1DrnpbGUGk+xJSbDZnHcvuGtXLA4H9oQEb2DMkZqKI8W/d6CzdWscLVqYQa7q9Zr5A2sEdexIxdatNAc170NNsA+gdNUqwBe4rJlnsWLzFrI3b/Hbv/Bj8++56JNPASh4510AUtPT4YorGq7gIiISeCwWGP4wbPkIstbBezfD5S9Bfib852LzX4CBf4QL7oHP7jN7A34xA9oNg8TOP3t4ERERERGRpk4Bv3pW7C4hvMI3V4TNsPsFzhyeIL8hO8MrY2rvTnhlDMEuX0+7IHeIt+dYjY555/qtdz3c32+9Zb5/IC6hJN1v3YqN9PxOfmltqwN+ZfZiQqrCSS00e8NUWssxLAZB7hBaHTaHs8sN3U9caQqt8s31nLA9xJek4vQEe8+1K2YTbQ539wb8csIySSpqTbA7zNtTbFfMRmLLkmvNKZdLQbAZJKs59sGIXUSXJxLqiiSqeqjO3TGb6ZI9wDtkpctaQVbETwAklphBwaKgPO9wmDU9E/ODs71pNXMN5occ9AbXahQGH6I46DBVFhd2w/zVcJXFRYmzkMLgQyTX6h1ZEJxdZxjHmqEya66lxuHQA1TayvDgwYrZoyov5EB13qMH/A6HHPBLz60eTrMoKM9bV0fmy4rcQevDZsA0p1ZQz7AYZIdlklbYAbfFzcGIXb4DWwxWtp7HWblnszrtU46UF5bFOz3/Viddzgyf7frsqOnzfpwHwNps39xzOwt28sYPb/zs8f69/t910hJCEsgpyzlKbtPA1IF8ue/LY25PDkvmxq438n/f/F+dbd3iujG23Vi2Hd7G29vMOeyGtxrO+ZOHYfnUyazW/yPvPx/SJqoNI1uPpF9EECFFFaxNKuXy/3QnISSBx9t2Iaz6Mr+IPsAj/+nOzfluhlef42NjPc/+pzv/iowhsboj3FfRORzOW8DQWmV5rvQzhkbbiKyOc31v2UdhcRZ9qrcbwU72tIsksTreZ1ggt3My8ZurDxofCxUVUFRyzPdCIGTPHgyXy+w5KCIizUdkMoz9F7w7wZzTb9M83zZbEPx2AaRV/zhy9BNwYAPs/RbevwUmfg7WI0Y18Lhh6WPmMKCRyTD8/0Fyj9N2OSIiIiIiIvXp2OO4ySkprijDbjjwWDy4QnxDpXlsVVQEF/vWHVVU2H3b3UGVlNnN7XbD7OFXXD38Y1h5NAAVNjN/+KFEv+2xh82gUn6wOWRjkNvssXIgfKdfMKosuIhDofuq85i9Zn6KNYcDrJnjblfMRr/rKQrJ9QafbIYZH94ZY85DVTMEaF7ofm9ZADx4yIzZVL2P2fOwpndcbbtiN/ifKzjXb5jJmmPXDsgZeNgXtQ23xdebrCA4p07A7HDIAfJD/NMKjlKGwyEHKQ7Kr3M8w2L49aIrDD5kDpcZ5B8czA/J5nDokUG5LN8+1crsxZQ7SvBYPX7XmBdmBvAqHKWU231f8GeH7/aWpabea6dj8Q/m7Yn+wbu8O2aTd768PdH+vWWWnvUmW+O/YUXrd3Fb/XvkbU1cxYLO/yY7Yjci9e3ngn3Azwb7ALJKso4a7APYmLuRv676qzfYB7Bo9yIe3DqLB9p8R57FvId2Fuzk2e+f5e7rqlh0toXnh3q8ZXs8eAkAB6Phb4YZ9F7b1tf7el+E2UNtRazvvl4Rlc3zh3xz5gF8ZNvIt1bfPbQ7pJjtYUXe9e2xlXxQ5eudmRMJ3wX5niGbQ/LYFeJ7FuzzH+2YPE1xB8D8P/zKHF5VRESan+6Xw+i/mwG+GhHJcNOnvmAfmMG9q14DZzjsXwvfHDGHc1WFOQzo0sfg0Fb4aQk8Nxg2+3+2i4iIiIiINBWNHvCbPXs2bdq0ITg4mIyMDL788ue/9F26dCkZGRkEBwfTtm1bnn322dNU0hNTWGIO1+kOKceI8s1nZkRVUBVe5l23xrooDcv3rjti/QNM9iiP37xqBkadANn2+NV+6zvi1vmtHw7Nwh3hGz7UE1nmFxjz4KlzzIMRO3EHVfrKGVdFfq0599zWqjr75IZmURHlGwKyPKyQ3OrAYo2C4EOUhhR418scRRwK24O71px/BcE53rnsah+7oFbgrNhZQJWt0i+YVhicS1FwHlUW35BxeaFZHA454Hf8Q+F7KArKw4PH9x6FHMSw+Oa5A99wmbV7zdUE9WqXpcJWRqmjkHJHCQW1AoGHqocDrd2Drvax9kVt8+Wt9T4VO31Dt9YO7NUE80ocBX7Xvarlx5Q4Ctgf8SMFteooPySbD7o9yXvdZrIjfh21FQXn8UX719ncYgUizVVOtIXnR9nIjvEF9La0tHDfxGDuvclGhdNMX93ewpddLFRZYe1ZNWm+j83tKRbcNguFtUYjLQq1cKDWcXOiLKxvXStwGG9hb7xvfX+shYO18mfFWsiJ8q1/09F//sSacgB8VysgWRAKlTaaBQ+wOGxjQM8tKSIiDazPzXDXJhjxV/jNm3Dn95Daq26+iBYw6F5z+bP7IKe6HV5VCfMmwQ8fg8UG3S6DuHZguOGjO335aivMomfmHOz/Ogf+Nx0qiurmERERERERaUSN+vP4uXPnMnnyZGbPns2AAQP497//zahRo9i8eTMtW7ask3/nzp2MHj2am2++mddee40VK1Zw6623kpCQwGWXXdYIV1BXZYH5ZbA9zo01zIpRHedxJhi4qtxQHa8JSbByqKAUqmNgKalxbMr8zjtcZHgLBwWFtYJzMaVkh2fSMaevN217/BrO2T/Mu74n+gd6547AKDe/BM0PzsEW6oIi89vo0Hg7Bfm+Y5aH+eavq3EwYjdB8VBVHYeKTHKyJXsP7XMzzGOGHCQvdL/fcJd5ofuJiOgD1YcOSjQDabVlh++mc0RX7/VXhhfjsXooDM7xDrl5MHw3pZG+oJeBh/yQg2SHZdIxxxwQzxNZ5s1bs5/ZI89DTvge7/t3ONScuy4/+CBxZSmAOayox+omPyTbO8ddbnVQNT8km+hys+fkvsht1dv2e697b5Q5/l7tYF1OeKZ3+sWDETu9Q47WvKf7I7d78+6MW+9d/jF+LV2yB5Abst8veLr0rLcYtv1G9kZtparWPHlftnmb3TGbzCBgre+3c8P28VrGQxh4/NLN8uxCTtzxhpu0WqwMThvM53s+P42l8km2JVNmL/vZ+f1ig2PJK8/zS0sMTSS7NPsYe5jCHeEUu4pxWp30S+nHptxNXNjyQhbuWsjhisN+efu06MPGQxvpGNuRSnclg9IH8X329wxKH8T7P75Px5iOrNi3gpTwFIpdxbSLbkfH2I7kledxWfvLePOHN4kJjiHSGcknOz/hqo5X8fFPH9M3uS/j2o3j/R/fJzE0kbOiz2L6yukMSR9Cr6ReLM5czKg2ozg74WyW7FnC29veZnzX8RRWFrLm4Br6p/QnIymDsqoyHv/2cexWOzd3v5mE0ATyyvJYsX8Fm3I3MbzVcHol9mJHwQ6CbEGszV7L9znfMyhtECNbj8RqMZ/fB0oO8Pa2tymvKqfLsPPIL6tg8OE1OGwORoweTqR9PoeLc7jl4gF0iO1Iy/YF7Lv1Nkou7M1fzhvO2eemYHx/D1VWg+iLB3NudCi8/CYAw3peRrcrL4DX7wCgVfsM7MO7wecvA3DJBb+j6tAhKrabc9VFj/gVfPWJtw7i+p4P35s/jIkcPBh++gKA0LAoqiKAg+aHSl6nZGJ/MHsb56dGEb3PTC9OjyV8j//fSVPjDnHQN2xAYxdDREQaW3gC9L/9+Pn63wE/LYUdi+HVcdDvdti1HLbON7df+R/oPMbs8ffCMDiwHj64FW5a6BsCtGAf9lfH0Dp/l7m+fCZs+xRu/hwc/vMQk7PV7E0Y0wbOvgZCj+iuLyIiIiIi0kAaNeA3c+ZMJkyYwMSJEwGYNWsWn332Gc888wwzZsyok//ZZ5+lZcuWzJo1C4DOnTuzevVq/v73vwdEwM8wDIIOm+OtRcUXERsWzK7qbaHhh3FVlAJmoCkyuICC0v3E0w6AFsHF5NcKkkWFF5Lr9vX+Co8tY0+kb3jGgqAc8kL3Y+DBUt1R81DYXoITCinbY85Ptzd6Ky5XZ5xEAtAjPpz5xnZ67TdnpaqMy/brGQZmT7T4yCoO7DOHFQ0KziEnzDd0ZG7IfjxWD3mh+71z8eWFZlFFFkGYgbWIiBJc9gqqLJXe4UkPhe3hnIQQMqvjW1EpZuCuNKpWwC9iJ84w3zCT5SGFeKxu9tcKsrVINwNhe6K30Kk6+Jmb+CNgBupqAn77IrcTag0iK3IHcWUpWJxVHArbx4CYruyKXU/sPvOcByJ2ckvLMXxYsJTWh7tRYSv1BsssZ+2lLCef4MpwMqM3A1DmLGJDi2V0Odifb9I/JskZQ/+YLkRFFbFn02p+CN5IhcMcPrDSXs7StnOJKo9nYwtfz9X9Udt5u8fjFATnUGWrJNYRQZ6riM4to3kn4v+4LvVC1h8I49qUoTyb+TEDW3RkmXOd2ZvF1zkRAMNyRMJRPNZxIivzN/Pxwa9xWO2Ueyr9tqcGx7Ov/BDdwlsTbg/h63z/YUA/yHiYGTverJP+j863cNeWZ3723ClBceyv8A1h+my3yUzaOAuAPlGdaB2axH+zlgJwfkw3lh/2DSmbHBRL+7BUluWZfzQXJfRlUFwP7v3heW+e6e1vpMxdwf/99JZfubIr85mx401v2lXJg7ghdQSf5HzDv3b7D9M0pc3l/CZ5MC/t/YxnMj+qcw33tL2C4fEZxDgiOJA0lLezlvL6/sW4jZ9/7xOd0RgYhNqCcVrtxDuiKPdU4LA4sFmslHkqKHGXk+8qJtQWzO4y8/6PsocR74yiY1gavaM60C+yM9vWbqHP2eeSWZnD6oKtLMvbQFZ5HmeFpdAnqiOXJ18AwE+lWRS4SnAbHnpHd8AwDLaV7KXYXU6YLYhO4S0pqSpnSd739InqSKwzEpeniirDTbi9+ssq87bm7vgLvNfiNjwUVpUQ44iAs4640DbmfJu/7nSbuZ40jDpCgEP7/I55RcdJAIxse72ZsG8z14V0AAM4nMsrnau/wCupoGfc+VBYREXhl/TDRr/Wv4GScsDJ+bH9oNyA3asJA6anXGTul5MJZJIAjLOnMC4pBcqBzO/oWF2G1vZUfp2cCm6o3LHcW7Zo4OYIc15Tyg2wODk3tp+5XnAYLu1PHJhP7/xcSISWrz2OJchJV4sFbB6MF/+K4Xbzh2BzuLGC33soXvwVSSP60NISRO6YoVRs20n331zKOQmx5AzaTOlXa4k6Kw5PchgH3gRrWCi/zbiEQ8PyKf7fV0T8aiAXdR/MPsznyeC+Q9j7ohnwi0hJBsOgvDrg167/APJ+eMe8zgsGkv/mxwCkDxvM4ZfeAyC0b09KV5nDOlvDQvGU+IYPBsBmBffxnzGnm6PKoF9lHIZhHD+ziIiIxQJj/gmvjIW8HfDZtJoNMPZpM9gHYA+Cq9+Cp/ua8/4tng7Dp0N5Abx2KZb8XVTYI3B0HoV1+0LI3gzvTjSHDa3pdb5tIbw9HlzVw3OvewNu+MAMTtaoLIHF/w8K9kDHUdDzmrpzC5YXmAHIsATfsUVERERERI6j0QJ+lZWVrFmzhqlTp/qljxgxgpUrVx51n6+++ooRI0b4pY0cOZI5c+bgcrlwOBx19qmoqKCiwje0ZmGhOfSky+XC5XLVyf9L5BeXEVVozqfXfv9sehg7eYnXAUjZ8zrn237kE14AoPeOf7EmsYIqy3nYDScpmx6gb2whbsvF2Aw77X76Jzs65DL0x+sA6Jj3JoWJuZQ6Cgl1RVIZtxgskBy5gAOFF5MX+T0OSzldit5gDbcA0Mq6gz6H5rKOv+Cx59F7yxSedZbxMbcCcHb5x7xl9bA5/W267LmC7XFrwGLQ8+Bj7Lb9CZetgozMpyhMiKTcXkKQxyAixgyIWKOXQPk4NiSsI8GSS9vcF9gYlojD7eTsnCcgDD7t9AJjtvyOHxLW4LF6GPHtH5nteB6rO5jx2Y8wPi8fwz2TtxwPsyO0hFuKd7Cvws7alP/RPrcbl0c8yr6SMn5TsJ5VIdvxuCMYv28a/zgrgd0xm0h0rifRvpvxBxcyLSGOr5KX0bM4gpH2z4gr3E16XhW3tp5HduQPPJe3kTH79pOQuYt+6Wdh9di4w72Qi/bup/Wup7FER7Kgk4dfl2bjsbq5rKiYB3cupCJiOUWEsgw7PQsr+CA8jBWt32NUyIt0tzq4a0c+rarML8xzbFaecUZxf1YpdyXGc255BT/FLGWt3cZ1hcW8FRnBnw/l8UZkBLcUryO3zEaHykqSq/ZRabGQsjOTYquVqJ+eZwrA9i3cYLEQvHM3OTYbQYbBXrudwzYrpVYrH4eHMaSklH/GRnNdQREvREdyXWERi0NDGVJaSsdKF8GGwZCdDzAa+KPVSohhcEtSAj0qKtjqdGIF/rnzOyosFsKNTMotFm5PSuC8snIqLRbi3G7avjOeh202HouL4dKiYj4PC2VUcQl9d05jRlgor0RF8kR2Di2q3GxzOnAasNNhp8xqZWxxJvvtNqbHxXJDYREDdk7h4fAwVoYE89edCzEs4IqLZVBpGRfuXMCPDgcrQ4IZVFpGgnsPocY6VgUH8WF4GPfufodIz9vkRYaT5qoi1DDovfP/mX+PEeG0qqoiyGOQsXMaHiA6LBS7YVBktXLpzlex8Cq/B853Osmy2zhkszGypJSYnTOBmdwKTAQWhYWS4HZjBXqXV8DOJ7z3eGvgHuBOoNhqZavTQYXFSrK7CodhEOf2EOnxVHe49AXKf6k0gJ+gC+brhjo5/gbV247U84j1YOBUfh4Rdgr7iE8wkNQbmP81AKlhwDnAQnN43ZbJYIwFy9dmoNNxQRBBUQdxvDGW1Bgo7BNCROh/sS6fS2zHSGxBHiK+mEiLc0PJ3xFKWsuleNwW9u6MJbZjMZEFT0GnCIKjXYRXPE9JWAJWp4eEgqcpiUjAEV5FYswidpKIPcRNSp9MMpfEEZFaTlhyBYc2RhDfNZ/CzBDKcp2kDsjj4JoorA6DkPhK8n8MI/qsEvJ3mH8Z4SnlFO8PxhFahavUbFrYgt24y23Ygtx4qqxY7R7cFUeMO2oxwDi5LzKjWxZQtPVVCkvHE1XPX4LWd7tAREQCRHQ6TFgIn/wJtn0GiZ1g+P+DVv3880WlwujH4f1bYMUsKDkEmSsh7yeMsESWtp7KkEtuwLpnBbx2uTkk6NpXodcN5jyBtYN9Fhtkb4LXL4OJn4PNDqV5MGcE5FaPBPLDx5C7A4Y96CvD6hdh/h/B8EDvm+Cimb6gn6sMvn7GDFx2GQfth/uXf9dysIeYw5sqUCgiIiIi0uxYjEb6ifz+/ftJTU1lxYoV9O/f35v+6KOP8p///IetW7fW2adDhw6MHz+e++67z5u2cuVKBgwYwP79+0lOTq6zz0MPPcT06dPrpL/xxhuEhobW09WYCstc7FqdQ2h5KiNi7yMEN6vdGRxyt2S44wOwQHFVCwpcbWgR/DV5dngjKpILclM5h01YLAarnDG0KG5Na8da9jqhqjIZyrrQKuQLvgk3cJQnk1jcltiQFRQ4DFJc4DYcVFpcuKwQ4bawpmIEa2N3MbZyKwkuyHGnE2XNJshqBj4LXOkUVqWTFrySjSEWUl0GjooUlkfn4bBUMKzI4OsQKz8FwdX5HjKd8K0zkpFFbqy2ElaFWTiv2MBhwJcRFs4uNYhyw/vRFrqXGXSogE8jLaS4oGNJGBtDywjCTbdyKHdHYWAjxOYbUs4woNwKIQaUWeB/kRbOKzFIqPJ/fw3DgsVi8JMTSq3QzTc9ISVW+D7EQu9SA2etv+j1IRZSKg3ifVP5scsJxUfsD+ACHECeDaLdR5/gMt8Gh23QpvIoG484lh0otJplTa7yHb++GZgjerqBZjKFl4icJMMNWOt+92ccBoLBEgJGUfVyrQeV4QJcYKn1cWl4wMgCSyIYh4BKsKSCZwdYW4FRArjBEgmeH8DaAe+ww8ZhMErNfJ6dYE0Dzz6wplbvV30+Ix8sCWBkgyUNjINmHk+WebxN1tZUnjOJoHp+6JWWlnLNNddQUFBAZGRk/R78DFRYWEhUVFSDvV8ul4sFCxYwevToo/6oSxqe6iAwqB7qmWEcPxj26X3w9dO+9dB4qi7/D/M35PrqYcn/wZIZYLFCrxthy0dQegjaDILr3oX8THh+KJTnQ+8JMOoxeO1S2LkMQmIhvY85LCjApc9Djyth47vwzgTMFn61/n+AEY+Aqxz+ez1sX+jbdtkc6H65ubz0cfjir+Zyh1Fw1atgc5hBy//eCPtWmwHCS583hyF1lcHyWfDj/6Dnb+Dcieb7UlUB6/8LOT/AebeaQVCA4mzY8QW06AZJXX3vZebXEJVmBlVrVBSZ24JrfTZUVYDN+YsDkbofAsPx6qGh2whnErWnmgfVQ2BQPQQG1UPjUx0EhoZqTzXqkJ6AOUxhLYZh1Ek7Xv6jpdeYNm0aU6ZM8a4XFhaSnp7OiBEj6r0xVVlZyXzn/xgyeDDOoG8BGOXd+pc6+VOBIwcuvaTWcuIR28acYDlG+Z237nFqDSjD0FrLbY9xrkSgd6311rWWr6q1PKnW8vW1ltOOVdBjuOk42xOOkdb6KOkXnuD+J7r9ePse6cj3XuRkuVxVfP755wwdOhSHo9Ef2SKNzuWqovLzz7lo5DCcTme9HrtmFAARETmDnUjAaeRfzd5/6+dCVEvoczNGRBpsWODLM+hPULDX7OG35iUzLam7OcSnzQFxZ8GYWfD2b2H1HNjwDlQUgDMcxn9sBs0WPWj2JPz4LjPwtvE9wDB79iWfDR/dASufgvAkOLjZDPZZHea+Wetg3iSIaQ0/LoYlj/rKtu0T+HgyjPgrvPprc15CMIOS70ww5y2cNwk2v2+m71sNJTkw8G54/QrYaQ65z6Z5MPF/ZnBwznAozTV7Ll7+ojkU6seT4btXzLQh0+CCe+Cb5+HTaeb7fPE/4JzrYN2bZt6IZBg3G1r2MwOUa1+DlufBRU+A2wWfTjWHOh0wGTr+CrZ+avZ4TOoCQx+AssNYl/2NnplboHwA2GLM9//ARnM+x5jWsH0R7PvODITGnQV7V5tDtHYZC5EpZk/MzFXm/IrBkbB3jXldZw0Fq80MYAZFmIHNqgpz/sfUXhAWDyW5ULgPWnQ3ry9rvRnsDI0185bkmOsARQfN4zhDzWAtgCPYDIS6ysx0MK/bajePV3u55nfZ6qkpIiIiIieh0b49jo+Px2azceDAAb/07OxskpKSjrpPixYtjprfbrcTFxd31H2CgoIICgqqk+5wOBokgh1kg+iIEEXHRaReuFwugmwQFRas54oIvnvC6XTW+z3RHO+x2bNn87e//Y2srCy6du3KrFmzGDhwYGMXS0SkcVksZkCrc62fQR457HPN3IDJPc2AW4tu0O92/15tXX8NRQdg4V+qg30RcOXLvh5yQ/9sBu5+WmIGFwG6XwGjnzDn9SvYC8seh4V/9h3zylegw69g7nWwdT68UOsnjsMegoTO8NbVZjBt84dQUQih8dDvNrNX4tb58I+uUHzQDB6m9YbMr2DpY2b+nC1musViBrdevhjclWZQDMxhA967GVqfDzs+96V9/gjsW2sev8aHd8CuFfD9G+b64Z3wxm+g3VAzmAiwIdMcotTt8gUm966GjBvh2zmAAds/g8L9cGADtuzNtAaM138NCR1hw9vmPts+g65jzQApwKpnzR6KSx41hydY9jczIPnZ/WZ5v3sFOo020wE6XmT2fNxozoHMwLvNYx7cAFHpMPCP8Nl94CqFbpebwbu1r0FYIgx/GBY9ACXZZk9JVxmsex2iW8HgqWYA1O2CEQ/D92/BvjVmPqsdVv0bUjPg3Alm4DemDYx8BD77s1l3wx4yh3EtPQQXPmgGOPP3wIA7zPf/wEYYcCfsWGwGL0c8bL632T/AhX+Bta9DWZ6Z55vnwB4MfX8PX840A7D9/wDJPY59L4iIiIhIk9JoAT+n00lGRgaLFi3i17/+tTd90aJFjB079qj79OvXj48++sgvbeHChfTu3btZfkknIiIicqrmzp3L5MmTmT17NgMGDODf//43o0aNYvPmzbRs2bKxiyciEvisNuhzs/k6lvNugU4XwYENZs+20FjfNpsDrp5r9vLLWg9nDfENrQkw5D4zKPTlE2ZvsYv/YQapwOwp985vq4NuFjPoNOAOc9vov8P8KWbAKCQGbnjf7JUW1w7evtEM9oEZsDznWjOguPIpM9hnscHVb5rBtBeGmcE4MINXExaa8wv+8LEv2Dd2NhzaZl5DTbCvz+/NYT2/f8MX7Ot5jXmsPat8wb7uV8AP880AGEBQFMS0MgN/377gS6so8AVEAQ82rAfW+wKEAAWZvmAfmEGuLx7xrZfmmj0Ia2RvMl81agcqAb78e61j7zF7KNaoCQqCGeR7v9ZYNzXlBsjfbc4HWWP+H33L3zznW977jfmqKdervu9HeHeCb/md3/qWP/xDreXbfctvj/ctz73Ot/zWNb7lmqFkAXrUHrNHRERERJq6o01TdtpMmTKFF154gRdffJEtW7Zw1113kZmZyaRJZoN52rRp3HDDDd78kyZNYvfu3UyZMoUtW7bw4osvMmfOHO6+++7GugQRERGRJmnmzJlMmDCBiRMn0rlzZ2bNmkV6ejrPPPNMYxdNROTMEt3SDPrVDvbVcASbvcCufsMMHNYewtFigcF/gvuz4J4foUutCSBCouHad+F3S+Cujb5gH5i9xW7+wgzG3faNGewDc//ffgIX3Gv+e861Zvqwh83gX68b4fp55lx/0S3NPD2vgV43mMOQRrQw5w3sdzu0Hmgun3Ot2fNs0J+gRQ/z2L/6P7jkSejzO4hrb/Yuu+Qp+M2b5vyCkWlmnsteMOcajGkN8R3gxg/MIUS7XgqOMDjnevO6L55lBv5iz8J10//4suNfMCJTzTwX/wMmbzR7Nlqs5rnu/hFSepnXlvFbuHM9JFb3qux5Nfxuqdm7DYvZc++q18ERCrYgc47DAXeaecOT4IYPIKmbud5+hJnXHmL2gvzVY5B+nrkt5RxzrkWLzdx24YPmdQG0G24OKQpmj8DzbjPzWayQMR6Co81tbQb59knobPb2A4hIgcQu1fUe61sOijKHkQWz/BHJ5rI92MwH5ryJofHVecLMXqZgBoLPvs4MMouIiIjIGaNRJ4S66qqryM3N5eGHHyYrK4tu3bqxYMECWrVqBUBWVhaZmZne/G3atGHBggXcddddPP3006SkpPDkk09y2WWXNdYliIiIiDQ5lZWVrFmzhqlTp/qljxgxgpUrVx51n4qKCioqKrzrNXMeulwuXEcOdVcPao7ZEMeWE6M6CAyqh8DQ+PXgOXpyQnUw6shyJXY3X0duS84wX0em97jWfNVOj2wJFz/py+NyATYY+tARacD595gvALfb/Hf4ozC8pvgGOCPhilf99201CG5d7UszgHHP+a/3vM58Yb7/+aH7KZu0Gofd7guQ3rwMPFVmr0mA8Z9BZbHZMxJg4hJzOE5nmLl+23fgrjDnVAS4a6s59KczDDr/Gvr+wRzi0x4ENy02e0VGJJvnu/07M1gXGge9fguHd5mBOosVul5h/hsSAxkTIe8nX4BuwB/NnpLOMDjvdvC4zSDq4L9AfqYZWHRXQO6PZsDP8GA5sB4jqasZuMv5wRxe1BkOh7aaAcngaDi4EcISIDwJy/41GNGtICQWy56vMRK7gDPMXE4+BwBL1lqMtD5mYNDtMV8n6Xj3g55XIiIiIo2jUQN+ALfeeiu33nrrUbe9/PLLddIGDRrEd99918ClEhERETlzHTp0CLfbXWfe5KSkpDrzJdeYMWMG06dPr5O+cOFCQkNDG6ScYA73Lo1LdRAYVA+BQfUQGBqnHtb9zLYffmbb7lrLu34m355ay5m1lg8eY/+fjrFvtm9x01e+5c1f1lr+/GfKceKOVQ+lpaX1cnwREREROTmNHvATERERkcZhqT10HGAYRp20GtOmTWPKlCne9cLCQtLT0xkxYgSRkZH1XjaXy8WiRYsYPny45mpuJKqDwKB6CAyqh8CgeggMx6uHmlEAREREROT0UsBPREREpJmJj4/HZrPV6c2XnZ1dp9dfjaCgIIKCguqkOxyOBv3StaGPL8enOggMqofAoHoIDKqHwHCselDdiIiIiDQOa2MXQEREREROL6fTSUZGRp2huBYtWkT//v0bqVQiIiIiIiIiInKq1MNPREREpBmaMmUK119/Pb1796Zfv34899xzZGZmMmnSpMYumoiIiIiIiIiInCQF/ERERESaoauuuorc3FwefvhhsrKy6NatGwsWLKBVq1aNXTQRERERERERETlJCviJiIiINFO33nort956a2MXQ0REREREREREfiHN4SciIiIiIiIiIiIiIiLShCngJyIiIiIiIiIiIiIiItKEKeAnIiIiIiIiIiJyimbPnk2bNm0IDg4mIyODL7/8srGLJCIiIs2QAn4iIiIiIiIiIiKnYO7cuUyePJn777+ftWvXMnDgQEaNGkVmZmZjF01ERESaGXtjF+B0MwwDgMLCwno/tsvlorS0lMLCQhwOR70fX0SaHz1XRPw15D1R0zaoaSvIz2vINhXo+RcIVAeBQfUQGFQPgUH1EBiOVw/NrU01c+ZMJkyYwMSJEwGYNWsWn332Gc888wwzZszwy1tRUUFFRYV3vaCgAIC8vDxcLle9l62mrnJzc3XPNCLVQ2BQPQQG1UPjUx0EhuPVQ1FREXDy7almF/CreaPS09MbuSQiIiISiIqKioiKimrsYgQ8talERETk5zSHNlVlZSVr1qxh6tSpfukjRoxg5cqVdfLPmDGD6dOn10lv06ZNg5VRREREmq6TbU81u4BfSkoKe/bsISIiAovFUu/HP/fcc/n222/r/bgi0nzpuSLir6HuCcMwKCoqIiUlpd6PfSZq6DZVYWEh6enp7Nmzh8jIyHo/vhyf6iAwqB4Cg+ohMKgeAsPx6qE5takOHTqE2+0mKSnJLz0pKYkDBw7UyT9t2jSmTJniXfd4POTl5REXF6f21BlM9RAYVA+BQfXQ+FQHgaGh2lPNLuBntVpJS0trsOPbbDbdKCJSr/RcEfHXkPfEmf4r9PrU0G2qGpGRkXoGNjLVQWBQPQQG1UNgUD0Ehp+rh+bWpjoyWGcYxlEDeEFBQQQFBfmlRUdHN2TRAN0zgUL1EBhUD4FB9dD4VAeBob7bU9ZfWiDxd9tttzV2EUTkDKPniog/3RMiIiIiEgji4+Ox2Wx1evNlZ2fX6fUnIiIi0tAU8Ktn+hJSROqbnisi/nRPiIiIiEggcDqdZGRksGjRIr/0RYsW0b9//0YqlYiIiDRXzW5ITxEREREJfEFBQTz44IN1hr2S00d1EBhUD4FB9RAYVA+BQfXgb8qUKVx//fX07t2bfv368dxzz5GZmcmkSZMau2iqqwCheggMqofAoHpofKqDwNBQ9WAxDMOo1yOKiIiIiIiIiIg0E7Nnz+bxxx8nKyuLbt268Y9//IMLLrigsYslIiIizYwCfiIiIiIiIiIiIiIiIiJNmObwExEREREREREREREREWnCFPATERERERERERERERERacIU8AtwH3/8MR07dqR9+/a88MILjV0cEWni9EwR8ad7QkREREREREREzgSawy+AVVVV0aVLF7744gsiIyPp1asXq1atIjY2trGLJiJNkJ4pIv50T4iIiIiIiIiIyJlCPfwC2DfffEPXrl1JTU0lIiKC0aNH89lnnzV2sUSkidIzRcSf7onGNXv2bNq0aUNwcDAZGRl8+eWXP5t/6dKlZGRkEBwcTNu2bXn22WdPU0nPbCdTD++99x7Dhw8nISGByMhI+vXrp3umnpzs/VBjxYoV2O12zj777IYtYDNxsvVQUVHB/fffT6tWrQgKCuKss87ixRdfPE2lPXOdbD28/vrr9OzZk9DQUJKTk/ntb39Lbm7uaSrtmWfZsmWMGTOGlJQULBYL77///nH30Wd041KbKjCoTRUY1KZqfGpPBQa1pxpfY7WpmmXAb8aMGZx77rlERESQmJjIuHHj2Lp1a72e40Qr9Oduvv3795OamupdT0tLY9++ffVaThH55Z555hl69OhBZGSkt7H+ySef1Os59EyRpmrGjBlYLBYmT55cr8fVPdG0zZ07l8mTJ3P//fezdu1aBg4cyKhRo8jMzDxq/p07dzJ69GgGDhzI2rVrue+++7jjjjt49913T3PJzywnWw/Lli1j+PDhLFiwgDVr1jBkyBDGjBnD2rVrT3PJzywnWw81CgoKuOGGG7jwwgtPU0nPbKdSD1deeSWLFy9mzpw5bN26lTfffJNOnTqdxlKfeU62HpYvX84NN9zAhAkT2LRpE2+//TbffvstEydOPM0lP3OUlJTQs2dP/vWvf51Qfn1GNy61qQKD2lSBQW2qxqf2VGBQeyowNFqbymiGRo4cabz00kvGxo0bjXXr1hkXXXSR0bJlS6O4uPio+ZcvX25UVlbWSd+yZYuRlZV11H0WLFhg3H///ca7775rAMa8efPq5HnrrbcMh8NhPP/888bmzZuNO++80wgLCzN2795tGIZh/Pe//zVuu+02b/7HH3/c+Pvf/34KVywiDenDDz805s+fb2zdutXYunWrcd999xkOh8PYuHHjUfPrmSLNxTfffGO0bt3a6NGjh3HnnXceM5/uieanT58+xqRJk/zSOnXqZEydOvWo+e+9916jU6dOfmm///3vjfPOO6/BytgcnGw9HE2XLl2M6dOn13fRmpVTrYerrrrK+POf/2w8+OCDRs+ePRuwhM3DydbDJ598YkRFRRm5ubmno3jNxsnWw9/+9jejbdu2fmlPPvmkkZaW1mBlbE6O1caqTZ/RjUttqsCgNlVgUJuq8ak9FRjUngo8p7NN1Sx7+H366aeMHz+erl270rNnT1566SUyMzNZs2ZNnbwej4fbbruNa665Brfb7U3ftm0bQ4YM4ZVXXjnqOUaNGsUjjzzCpZdeesxyzJw5kwkTJjBx4kQ6d+7MrFmzSE9P55lnngEgNTXVr6fB3r17SU5OPtXLFpEGMmbMGEaPHk2HDh3o0KEDf/3rXwkPD+frr7+uk1fPFGkuiouLufbaa3n++eeJiYk5Zj7dE81PZWUla9asYcSIEX7pI0aMYOXKlUfd56uvvqqTf+TIkaxevRqXy9VgZT2TnUo9HMnj8VBUVKR5L3+BU62Hl156iR07dvDggw82dBGbhVOphw8//JDevXvz+OOPk5qaSocOHbj77rspKys7HUU+I51KPfTv35+9e/eyYMECDMPg4MGDvPPOO1x00UWno8iCPqMbk9pUgUFtqsCgNlXjU3sqMKg91XTV12d0swz4HamgoADgqB+sVquVBQsWsHbtWm644QY8Hg87duxg6NChXHLJJdx7772ndM4Tufn69OnDxo0b2bdvH0VFRSxYsICRI0ee0vlE5PRwu9289dZblJSU0K9fvzrb9UyR5uK2227joosuYtiwYT+bT/dE83Po0CHcbjdJSUl+6UlJSRw4cOCo+xw4cOCo+auqqjh06FCDlfVMdir1cKQnnniCkpISrrzyyoYoYrNwKvWwfft2pk6dyuuvv47dbj8dxTzjnUo9/PTTTyxfvpyNGzcyb948Zs2axTvvvMNtt912Oop8RjqVeujfvz+vv/46V111FU6nkxYtWhAdHc1TTz11Ooos6DO6MalNFRjUpgoMalM1PrWnAoPaU01XfX1GN/unmWEYTJkyhfPPP59u3bodNU9KSgqff/45F1xwAddccw1fffUVF1544S+a2PhEbj673c4TTzzBkCFD8Hg83HvvvcTFxZ3yOUWk4WzYsIF+/fpRXl5OeHg48+bNo0uXLkfNq2eKnOneeustvvvuO7799tsTyq97onmyWCx+64Zh1Ek7Xv6jpcvJOdl6qPHmm2/y0EMP8cEHH5CYmNhQxWs2TrQe3G4311xzDdOnT6dDhw6nq3jNxsncDx6PB4vFwuuvv05UVBRg9iy//PLLefrppwkJCWnw8p6pTqYeNm/ezB133MEDDzzAyJEjycrK4p577mHSpEnMmTPndBRX0Gd0Y1ObKjCoTRUY1KZqfGpPBQa1p5qm+viMbvYBv9tvv53169ezfPnyn83XsmVLXnnlFQYNGkTbtm2ZM2dOvTSGjnfzXXLJJVxyySW/+Dwi0rA6duzIunXryM/P59133+XGG29k6dKlxwz66ZkiZ6o9e/Zw5513snDhQoKDg094P90TzUd8fDw2m63Orwuzs7PrBGhrtGjR4qj57Xa7grSn6FTqocbcuXOZMGECb7/99nF78crPO9l6KCoqYvXq1axdu5bbb78dML8oMQwDu93OwoULGTp06Gkp+5nkVO6H5ORkUlNTvV9OAXTu3BnDMNi7dy/t27dv0DKfiU6lHmbMmMGAAQO45557AOjRowdhYWEMHDiQRx55REN1nwb6jG48alMFBrWpAoPaVI1P7anAoPZU01Vfn9HNekjPP/zhD3z44Yd88cUXpKWl/WzegwcP8rvf/Y4xY8ZQWlrKXXfd9YvO/UsaBCISeJxOJ+3ataN3797MmDGDnj178s9//vOY+fVMkTPVmjVryM7OJiMjA7vdjt1uZ+nSpTz55JPY7Xa/efpq0z3RfDidTjIyMli0aJFf+qJFi+jfv/9R9+nXr1+d/AsXLqR37944HI4GK+uZ7FTqAcxfoY8fP5433nhDczrUg5Oth8jISDZs2MC6deu8r0mTJnl/eNS3b9/TVfQzyqncDwMGDGD//v0UFxd707Zt24bVaj3u/y3l6E6lHkpLS7Fa/b/WsNlsgO8X0dKw9BndeNSmCgxqUwUGtakan9pTgUHtqaar3j6jjWbI4/EYt912m5GSkmJs27btuPlzcnKMrl27GuPGjTNcLpexefNmIzEx0fjjH/94QucDjHnz5tVJ79Onj3HLLbf4pXXu3NmYOnXqCR1XRALX0KFDjRtvvPGo2/RMkTNZYWGhsWHDBr9X7969jeuuu87YsGHDUffRPdH8vPXWW4bD4TDmzJljbN682Zg8ebIRFhZm7Nq1yzAMw5g6dapx/fXXe/P/9NNPRmhoqHHXXXcZmzdvNubMmWM4HA7jnXfeaaxLOCOcbD288cYbht1uN55++mkjKyvL+8rPz2+sSzgjnGw9HOnBBx80evbseZpKe+Y62XooKioy0tLSjMsvv9zYtGmTsXTpUqN9+/bGxIkTG+sSzggnWw8vvfSSYbfbjdmzZxs7duwwli9fbvTu3dvo06dPY11Ck1dUVGSsXbvWWLt2rQEYM2fONNauXWvs3r3bMAx9RgcatakCg9pUgUFtqsan9lRgUHsqMDRWm6pZBvxuueUWIyoqyliyZInfB2tpaWmdvG6328jIyDBGjx5tVFRUeNPXr19vxMXFGTNnzjzqOY5XoYZx/JtPRJqGadOmGcuWLTN27txprF+/3rjvvvsMq9VqLFy4sE5ePVOkORo0aJBx5513HnWb7onm6+mnnzZatWplOJ1Oo1evXsbSpUu922688UZj0KBBfvmXLFlinHPOOYbT6TRat25tPPPMM6e5xGemk6mHQYMGGUCd17F+4CIn7mTvh9r05VT9Odl62LJlizFs2DAjJCTESEtLM6ZMmXLU/1PKyTnZenjyySeNLl26GCEhIUZycrJx7bXXGnv37j3NpT5zfPHFFz/7rNdndOBRmyowqE0VGNSmanxqTwUGtacaX2O1qSyG0fz6ZR5rTqCXXnqJ8ePH10lftGgRAwcOrDMX0bp164iLiyM9Pb3OPkuWLGHIkCF10m+88UZefvll7/rs2bN5/PHHycrKolu3bvzjH//gggsuOLkLEpFGNWHCBBYvXkxWVhZRUVH06NGDP/3pTwwfPvyo+fVMkeZm8ODBnH322cyaNeuo23VPiIiIiIiIiIiI/DLNMuAnIiIiIiIiIiIiIiIicqawHj+LiIiIiIiIiIiIiIiIiAQqBfxEREREREREREREREREmjAF/ERERERERERERERERESaMAX8RERERERERERERERERJowBfxEREREREREREREREREmjAF/ERERERERERERERERESaMAX8REREREREmqGHHnqIs88++7Sfd8mSJVgsFiwWC+PGjTuhfR566CHvPrNmzWrQ8omIiIicDLWpRCRQKOAnIiIiIiJyhqn5IudYr/Hjx3P33XezePHiRivj1q1befnll08o7913301WVhZpaWkNWygRERGRWtSmEpGmxN7YBRAREREREZH6lZWV5V2eO3cuDzzwAFu3bvWmhYSEEB4eTnh4eGMUD4DExESio6NPKG9NWW02W8MWSkRERKQWtalEpClRDz8REREREZEzTIsWLbyvqKgoLBZLnbQjh58aP34848aN49FHHyUpKYno6GimT59OVVUV99xzD7GxsaSlpfHiiy/6nWvfvn1cddVVxMTEEBcXx9ixY9m1a9dJl/mdd96he/fuhISEEBcXx7BhwygpKfmF74SIiIjIqVObSkSaEgX8RERO0ODBg71DNqxbt86bPn78eG/6+++/32jlExEREfmlPv/8c/bv38+yZcuYOXMmDz30EBdffDExMTGsWrWKSZMmMWnSJPbs2QNAaWkpQ4YMITw8nGXLlrF8+XLCw8P51a9+RWVl5QmfNysri6uvvpqbbrqJLVu2sGTJEi699FIMw2ioSxURERFpMGpTiUhjUMBPRJq8lStXYrFY+NWvfnXMPOPHj2fq1KkAGIZBdHQ0Tz31VJ18f/jDH+jVq9cxj3PzzTeTlZVFt27dvGn//Oc//YZ4EBEREWmqYmNjefLJJ+nYsSM33XQTHTt2pLS0lPvuu4/27dszbdo0nE4nK1asAOCtt97CarXywgsv0L17dzp37sxLL71EZmYmS5YsOeHzZmVlUVVVxaWXXkrr1q3p3r07t956a6MOjyUiIiJyqtSmEpHGoICfiDR5L774IldffTVffPEFmZmZdbZ7PB7mz5/P2LFjAdixYwcFBQX07t27Tt7Vq1eTkZFxzHOFhobSokUL7HbfFKhRUVG0aNGiHq5EREREpHF17doVq9X338SkpCS6d+/uXbfZbMTFxZGdnQ3AmjVr+PHHH4mIiPDOCRMbG0t5eTk7duw44fP27NmTCy+8kO7du3PFFVfw/PPPc/jw4fq7MBEREZHTSG0qEWkM9uNnEREJXCUlJcydO5fFixdz+PBhXn75ZR544AG/PCtWrMBqtdK3b1/AbETZ7Xa/8dUBqqqq+P7777nxxhtPV/FFREREAorD4fBbt1gsR03zeDyA+cOqjIwMXn/99TrHSkhIOOHz2mw2Fi1axMqVK1m4cCFPPfUU999/P6tWraJNmzancCUiIiIijUdtKhFpDOrhJyJN2ty5c2nRogV9+vTh2muv5aWXXqozLvmHH37ImDFjvL+sWrNmDV26dCEkJMQv36ZNmygrK/vZHn4iIiIi4tOrVy+2b99OYmIi7dq183tFRUWd1LEsFgsDBgxg+vTprF27FqfTybx58xqo5CIiIiKBQ20qEakPCviJSJM2Z84crr32WgDGjRtHdnY2ixcv9svz4YcfeofzBDPgd6zhPB0OBz169GjYQouIiIicIa699lri4+MZO3YsX375JTt37mTp0qXceeed7N2794SPs2rVKh599FFWr15NZmYm7733Hjk5OXTu3LkBSy8iIiISGNSmEpH6oICfiDRZW7duZeXKlVxzzTUAhIeHM3bsWF588UVvni1btrB3716GDRvmTfvuu++OGfDr2rUrQUFBDV94ERERkTNAaGgoy5Yto2XLllx66aV07tyZm266ibKyMiIjI0/4OJGRkSxbtozRo0fToUMH/vznP/PEE08watSoBiy9iIiISGBQm0pE6oPFOHLsOxGRJuLee+9lyZIlfPPNN960+fPnc9lll5GVlUVMTAyPPfYYX331Fe+//z4Ae/bsoWXLlnzxxRcMHjzY73jt27dnxIgRPP3000c93+DBgzn77LOZNWvWUbdbLBbmzZvHuHHj6uHqRERERM5MS5YsYciQIRw+fJjo6OiT2rd169ZMnjyZyZMnN0jZRERERJoKtalE5Ejq4SciTVJVVRWvvPKKt3dfjZEjRxIREeGd5PiDDz7gkksu8W53uVwAlJaW+u23aNEifvzxR6666qoGLrmIiIiIAKSlpXH11VefUN5HH32U8PBwMjMzG7hUIiIiIk2L2lQiUsPe2AUQETkVH3/8MQcPHqRbt25s3LjRb9vAgQOZM2cOV155Jd9++623dx9AmzZt6NSpE9OmTcPpdJKQkMCqVau4//77ue6667jgggtO85WIiIiINC99+/Zl+/btgDkk+4mYNGkSV155JQAJCQkNVjYRERGRpkJtKhE5kgJ+ItIkzZkzB4Dhw4cfM8+rr75K3759SUxM9KZZLBbmz5/P3XffzW9+8xtcLhft2rXjkUceYeLEiQ1ebhEREZHmLiQkhHbt2p3UPrGxscTGxjZQiURERESaHrWpRORICviJSJP00UcfHTfPJZdc4jecZ422bdvy3nvvNUSxREREREREREREREROO83hJyJnrPPPP/+ExzA/UbNnzyY8PJwNGzZ40yZNmnTCQyeIiIiIiIiIiIiIiNQ3i2EYRmMXQkSkKdi3bx9lZWUAtGzZEqfTCUB2djaFhYUAJCcnExYW1mhlFBEREREREREREZHmRwE/ERERERERERERERERkSZMQ3qKiIiIiIiIiIiIiIiINGEK+ImIiIiIiIiIiIiIiIg0YQr4iYiIiIiIiIiIiIiIiDRhCviJiIiIiIiIiIiIiIiINGEK+ImIiIiIiIiIiIiIiIg0YQr4iYiIiIiIiIiIiIiIiDRhCviJiIiIiIiIiIiIiIiINGEK+ImIiIiIiIiIiIiIiIg0YQr4iYiIiIiIiIiIiIiIiDRh/x87Mgn2lQAWnwAAAABJRU5ErkJggg==",
|
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"text/plain": [
|
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"<Figure size 1800x500 with 3 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"n = 4\n",
|
|
"\n",
|
|
"initial_occ=np.array([n-1,1])\n",
|
|
"\n",
|
|
"#maximum energy scale for ramp\n",
|
|
"#assuming that staying below 25% of the 1st excited state is enough\n",
|
|
"#and the contact scattering length can be tuned from 0 to 3.5* 85a0\n",
|
|
"limits = np.array([E_exc[0]/10,\n",
|
|
" E_barr[0]/10,\n",
|
|
" U_s[0]*3.5 + np.max(U_dds)])\n",
|
|
"E_max = np.min(limits)/const.hbar\n",
|
|
"\n",
|
|
"# --- Parameters ---\n",
|
|
"J_freq = J[0]/const.hbar # Hopping amplitude\n",
|
|
"U = (E_max/n, E_max/n) # On-site interaction strength\n",
|
|
"\n",
|
|
"mu = 0.0 # Chemical potential (set to zero for simplicity)\n",
|
|
"V = V_lrs[0,np.argmin(np.abs(V_lrs))]/const.hbar # nearest neighbour interaction energy (due to DDI)\n",
|
|
"DeltaJ = DeltaJs[0,np.argmin(np.abs(V_lrs))]/const.hbar # density induced tunneling\n",
|
|
"# V = V_lrs.max()/const.hbar # nearest neighbour interaction energy (due to DDI)\n",
|
|
"# DeltaJ = DeltaJs.max()/const.hbar # density induced tunneling\n",
|
|
"\n",
|
|
"Delta = ((n-2)*U[0]- (n-2)*V, n*U[0]) #tilt\n",
|
|
"\n",
|
|
"tau = 2*np.pi/J_freq *10 #take 10 times the time scale set by J for evolution\n",
|
|
"N_steps = int(1e3) #number of timesteps\n",
|
|
"\n",
|
|
"print(f\"d: {distance[0]/si.nm:.2f} nm\")\n",
|
|
"print(f\"omega_x: {frequencies[0]/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"J: {J_freq/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"limits set by: 1st excited state = {limits[0]/const.h:.2f} Hz, barrier = {limits[1]/const.h:.2f} Hz, interactions = {limits[2]/const.h:.2f} Hz\")\n",
|
|
"print(f\"=> max. tilt/interaction: {E_max/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"J/U = {J_freq/U[0]:.4f}\")\n",
|
|
"print(f\"V: {V/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"DeltaJ: {DeltaJ/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"ramp time: {tau/si.ms:.3f} ms\")\n",
|
|
"\n",
|
|
"tlist, result = solve_hub(J_freq,U,Delta, mu,V,DeltaJ,tau,N_steps=N_steps,\n",
|
|
" initial_occ=initial_occ)\n",
|
|
"\n",
|
|
"d= n + 1\n",
|
|
"\n",
|
|
"# --- Extracting and Plotting State Vector Components ---\n",
|
|
"# Create an array of states; each state is flattened into a 1D array of length d^2\n",
|
|
"states = np.array([state.full().flatten() for state in result.states])\n",
|
|
"# Compute probabilities: squared magnitude of each component\n",
|
|
"probs = np.abs(states)**2\n",
|
|
"\n",
|
|
"# Create labels for each basis state in the two-site Fock space\n",
|
|
"basis_labels = [f\"|{n0},{n1}>\" for n0 in range(d) for n1 in range(d)]\n",
|
|
"# Create a list of corresponding total particle numbers for each basis state\n",
|
|
"total_particles = [n0 + n1 for n0 in range(d) for n1 in range(d)]\n",
|
|
"\n",
|
|
"# Filter indices for basis states with exactly 2 particles\n",
|
|
"indices_2particles = [idx for idx, tot in enumerate(total_particles) if tot == np.sum(initial_occ)]\n",
|
|
"labels_2particles = [basis_labels[idx] for idx in indices_2particles]\n",
|
|
"\n",
|
|
"#fidelity as the probability for |2,0> in the last 10% of steps\n",
|
|
"#calculate fidelity\n",
|
|
"fid = np.mean(probs[int(0.9*len(tlist)):,indices_2particles[-1]])\n",
|
|
"print(f\"fidelity: {fid:.5f}\")\n",
|
|
"\n",
|
|
"#alternatively with ratio Delta/U\n",
|
|
"interactions = np.linspace(U[0],U[1],len(tlist))\n",
|
|
"tilt = np.linspace(Delta[0],Delta[1],len(tlist))\n",
|
|
"ratio = tilt/interactions\n",
|
|
"\n",
|
|
"fig, axs = plt.subplots(1, 3, figsize=(18, 5))\n",
|
|
"\n",
|
|
"# --- Plot 1: Probability of 2-particle basis states ---\n",
|
|
"for idx, label in zip(indices_2particles, labels_2particles):\n",
|
|
" axs[0].plot(ratio[:int(1*len(tlist))], probs[:, idx][:int(1*len(tlist))], label=label)\n",
|
|
"axs[0].set_xscale(\"log\")\n",
|
|
"axs[0].set_xlabel(r'$\\Delta /U$ []')\n",
|
|
"axs[0].set_ylabel('Probability')\n",
|
|
"axs[0].set_title(f'{n}-Particle Basis State Probabilities')\n",
|
|
"axs[0].legend()\n",
|
|
"axs[0].grid(which=\"both\")\n",
|
|
"\n",
|
|
"# --- Plot 2: Occupation number vs time ---\n",
|
|
"axs[1].plot(tlist, result.expect[0], label='Site 0')\n",
|
|
"axs[1].plot(tlist, result.expect[1], label='Site 1')\n",
|
|
"axs[1].set_ylim(-0.2,6.2)\n",
|
|
"axs[1].set_xlabel('Time [s]')\n",
|
|
"axs[1].set_ylabel('Occupation number')\n",
|
|
"axs[1].set_title('Occupation Number Over Time')\n",
|
|
"axs[1].legend()\n",
|
|
"axs[1].grid(True)\n",
|
|
"\n",
|
|
"# --- Plot 3: Energies vs time ---\n",
|
|
"axs[2].plot(tlist, np.linspace(Delta[0]/2/np.pi, Delta[1]/2/np.pi, N_steps), label=\"tilt\")\n",
|
|
"\n",
|
|
"axs[2].plot(tlist, ((6*U[0] - 3*U[0])/2/np.pi +V*(4*0 - 3*1)/2/np.pi)*np.ones(N_steps), label=\"transition |31> -> |40>\")\n",
|
|
"axs[2].plot(tlist, ((3*U[0] - 2*U[0])/2/np.pi +V*(3*1 - 2*2)/2/np.pi)*np.ones(N_steps), label=\"transition |22> -> |31>\")\n",
|
|
"\n",
|
|
"axs[2].set_ylim(bottom=0)\n",
|
|
"axs[2].set_xlabel('Time [s]')\n",
|
|
"axs[2].set_ylabel('energy/h [Hz]')\n",
|
|
"axs[2].set_title('parameter ramping')\n",
|
|
"axs[2].legend()\n",
|
|
"axs[2].grid(True)\n",
|
|
"\n",
|
|
"plt.tight_layout()\n",
|
|
"plt.show()\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## N=5"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 56,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"d: 745.43 nm\n",
|
|
"omega_x: 50000.00 Hz\n",
|
|
"J: 10.33 Hz\n",
|
|
"limits set by: 1st excited state = 687.56 Hz, barrier = 4053.51 Hz, interactions = 4310.78 Hz\n",
|
|
"=> max. tilt/interaction: 687.56 Hz\n",
|
|
"J/U = 0.0751\n",
|
|
"V: -0.17 Hz\n",
|
|
"DeltaJ: -0.55 Hz\n",
|
|
"ramp time: 968.363 ms\n",
|
|
"fidelity: 0.97312\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
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",
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"text/plain": [
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"<Figure size 1800x500 with 3 Axes>"
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]
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},
|
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
|
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"n = 5\n",
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"\n",
|
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"initial_occ=np.array([n-1,1])\n",
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"\n",
|
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"#maximum energy scale for ramp\n",
|
|
"#assuming that staying below 25% of the 1st excited state is enough\n",
|
|
"#and the contact scattering length can be tuned from 0 to 3.5* 85a0\n",
|
|
"limits = np.array([E_exc[0]/10,\n",
|
|
" E_barr[0]/10,\n",
|
|
" U_s[0]*3.5 + np.max(U_dds)])\n",
|
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"E_max = np.min(limits)/const.hbar\n",
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"\n",
|
|
"# --- Parameters ---\n",
|
|
"J_freq = J[0]/const.hbar # Hopping amplitude\n",
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|
"U = (E_max/n, E_max/n) # On-site interaction strength\n",
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"\n",
|
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"mu = 0.0 # Chemical potential (set to zero for simplicity)\n",
|
|
"V = V_lrs[0,np.argmin(np.abs(V_lrs))]/const.hbar # nearest neighbour interaction energy (due to DDI)\n",
|
|
"DeltaJ = DeltaJs[0,np.argmin(np.abs(V_lrs))]/const.hbar # density induced tunneling\n",
|
|
"# V = V_lrs.max()/const.hbar # nearest neighbour interaction energy (due to DDI)\n",
|
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"# DeltaJ = DeltaJs.max()/const.hbar # density induced tunneling\n",
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"\n",
|
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"Delta = ((n-2)*U[0]- (n-2)*V, n*U[0]) #tilt\n",
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"\n",
|
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"tau = 2*np.pi/J_freq *10 #take 10 times the time scale set by J for evolution\n",
|
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"N_steps = int(1e3) #number of timesteps\n",
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"\n",
|
|
"print(f\"d: {distance[0]/si.nm:.2f} nm\")\n",
|
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"print(f\"omega_x: {frequencies[0]/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"J: {J_freq/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"limits set by: 1st excited state = {limits[0]/const.h:.2f} Hz, barrier = {limits[1]/const.h:.2f} Hz, interactions = {limits[2]/const.h:.2f} Hz\")\n",
|
|
"print(f\"=> max. tilt/interaction: {E_max/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"J/U = {J_freq/U[0]:.4f}\")\n",
|
|
"print(f\"V: {V/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"DeltaJ: {DeltaJ/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"ramp time: {tau/si.ms:.3f} ms\")\n",
|
|
"\n",
|
|
"tlist, result = solve_hub(J_freq,U,Delta, mu,V,DeltaJ,tau,N_steps=N_steps,\n",
|
|
" initial_occ=initial_occ)\n",
|
|
"\n",
|
|
"d= n + 1\n",
|
|
"\n",
|
|
"# --- Extracting and Plotting State Vector Components ---\n",
|
|
"# Create an array of states; each state is flattened into a 1D array of length d^2\n",
|
|
"states = np.array([state.full().flatten() for state in result.states])\n",
|
|
"# Compute probabilities: squared magnitude of each component\n",
|
|
"probs = np.abs(states)**2\n",
|
|
"\n",
|
|
"# Create labels for each basis state in the two-site Fock space\n",
|
|
"basis_labels = [f\"|{n0},{n1}>\" for n0 in range(d) for n1 in range(d)]\n",
|
|
"# Create a list of corresponding total particle numbers for each basis state\n",
|
|
"total_particles = [n0 + n1 for n0 in range(d) for n1 in range(d)]\n",
|
|
"\n",
|
|
"# Filter indices for basis states with exactly 2 particles\n",
|
|
"indices_2particles = [idx for idx, tot in enumerate(total_particles) if tot == np.sum(initial_occ)]\n",
|
|
"labels_2particles = [basis_labels[idx] for idx in indices_2particles]\n",
|
|
"\n",
|
|
"#fidelity as the probability for |2,0> in the last 10% of steps\n",
|
|
"#calculate fidelity\n",
|
|
"fid = np.mean(probs[int(0.9*len(tlist)):,indices_2particles[-1]])\n",
|
|
"print(f\"fidelity: {fid:.5f}\")\n",
|
|
"\n",
|
|
"#alternatively with ratio Delta/U\n",
|
|
"interactions = np.linspace(U[0],U[1],len(tlist))\n",
|
|
"tilt = np.linspace(Delta[0],Delta[1],len(tlist))\n",
|
|
"ratio = tilt/interactions\n",
|
|
"\n",
|
|
"fig, axs = plt.subplots(1, 3, figsize=(18, 5))\n",
|
|
"\n",
|
|
"# --- Plot 1: Probability of 2-particle basis states ---\n",
|
|
"for idx, label in zip(indices_2particles, labels_2particles):\n",
|
|
" axs[0].plot(ratio[:int(1*len(tlist))], probs[:, idx][:int(1*len(tlist))], label=label)\n",
|
|
"axs[0].set_xscale(\"log\")\n",
|
|
"axs[0].set_xlabel(r'$\\Delta /U$ []')\n",
|
|
"axs[0].set_ylabel('Probability')\n",
|
|
"axs[0].set_title(f'{n}-Particle Basis State Probabilities')\n",
|
|
"axs[0].legend()\n",
|
|
"axs[0].grid(which=\"both\")\n",
|
|
"\n",
|
|
"# --- Plot 2: Occupation number vs time ---\n",
|
|
"axs[1].plot(tlist, result.expect[0], label='Site 0')\n",
|
|
"axs[1].plot(tlist, result.expect[1], label='Site 1')\n",
|
|
"axs[1].set_ylim(-0.2,6.2)\n",
|
|
"axs[1].set_xlabel('Time [s]')\n",
|
|
"axs[1].set_ylabel('Occupation number')\n",
|
|
"axs[1].set_title('Occupation Number Over Time')\n",
|
|
"axs[1].legend()\n",
|
|
"axs[1].grid(True)\n",
|
|
"\n",
|
|
"# --- Plot 3: Energies vs time ---\n",
|
|
"axs[2].plot(tlist, np.linspace(Delta[0]/2/np.pi, Delta[1]/2/np.pi, N_steps), label=\"tilt\")\n",
|
|
"\n",
|
|
"axs[2].plot(tlist, ((10*U[0] - 6*U[0])/2/np.pi +V*(5*0 - 4*1)/2/np.pi)*np.ones(N_steps), label=\"transition |41> -> |50>\")\n",
|
|
"axs[2].plot(tlist, ((6*U[0] - 4*U[0])/2/np.pi +V*(4*1 - 3*2)/2/np.pi)*np.ones(N_steps), label=\"transition |32> -> |41>\")\n",
|
|
"\n",
|
|
"axs[2].set_ylim(bottom=0)\n",
|
|
"axs[2].set_xlabel('Time [s]')\n",
|
|
"axs[2].set_ylabel('energy/h [Hz]')\n",
|
|
"axs[2].set_title('parameter ramping')\n",
|
|
"axs[2].legend()\n",
|
|
"axs[2].grid(True)\n",
|
|
"\n",
|
|
"plt.tight_layout()\n",
|
|
"plt.show()\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## N=6"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 107,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"d: 745.43 nm\n",
|
|
"omega_x: 50000.00 Hz\n",
|
|
"J: 10.33 Hz\n",
|
|
"limits set by: 1st excited state = 687.56 Hz, barrier = 4053.51 Hz, interactions = 4310.78 Hz\n",
|
|
"=> max. tilt/interaction: 687.56 Hz\n",
|
|
"J/U = 0.0901\n",
|
|
"V: -0.17 Hz\n",
|
|
"DeltaJ: -0.55 Hz\n",
|
|
"ramp time: 968.363 ms\n",
|
|
"fidelity: 0.96775\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
|
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"<Figure size 1800x500 with 3 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
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"source": [
|
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"n = 6\n",
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"\n",
|
|
"initial_occ=np.array([n-1,1])\n",
|
|
"\n",
|
|
"#maximum energy scale for ramp\n",
|
|
"#assuming that staying below 25% of the 1st excited state is enough\n",
|
|
"#and the contact scattering length can be tuned from 0 to 3.5* 85a0\n",
|
|
"limits = np.array([E_exc[0]/10,\n",
|
|
" E_barr[0]/10,\n",
|
|
" U_s[0]*3.5 + np.max(U_dds)])\n",
|
|
"E_max = np.min(limits)/const.hbar\n",
|
|
"\n",
|
|
"# --- Parameters ---\n",
|
|
"J_freq = J[0]/const.hbar # Hopping amplitude\n",
|
|
"U = (E_max/n, E_max/n) # On-site interaction strength\n",
|
|
"\n",
|
|
"mu = 0.0 # Chemical potential (set to zero for simplicity)\n",
|
|
"V = V_lrs[0,np.argmin(np.abs(V_lrs))]/const.hbar # nearest neighbour interaction energy (due to DDI)\n",
|
|
"DeltaJ = DeltaJs[0,np.argmin(np.abs(V_lrs))]/const.hbar # density induced tunneling\n",
|
|
"# V = V_lrs.max()/const.hbar # nearest neighbour interaction energy (due to DDI)\n",
|
|
"# DeltaJ = DeltaJs.max()/const.hbar # density induced tunneling\n",
|
|
"\n",
|
|
"Delta = ((n-2)*U[0]- (n-2)*V, n*U[0]) #tilt\n",
|
|
"\n",
|
|
"tau = 2*np.pi/J_freq *10 #take 10 times the time scale set by J for evolution\n",
|
|
"N_steps = int(1e3) #number of timesteps\n",
|
|
"\n",
|
|
"print(f\"d: {distance[0]/si.nm:.2f} nm\")\n",
|
|
"print(f\"omega_x: {frequencies[0]/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"J: {J_freq/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"limits set by: 1st excited state = {limits[0]/const.h:.2f} Hz, barrier = {limits[1]/const.h:.2f} Hz, interactions = {limits[2]/const.h:.2f} Hz\")\n",
|
|
"print(f\"=> max. tilt/interaction: {E_max/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"J/U = {J_freq/U[0]:.4f}\")\n",
|
|
"print(f\"V: {V/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"DeltaJ: {DeltaJ/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"ramp time: {tau/si.ms:.3f} ms\")\n",
|
|
"\n",
|
|
"tlist, result = solve_hub(J_freq,U,Delta, mu,V,DeltaJ,tau,N_steps=N_steps,\n",
|
|
" initial_occ=initial_occ)\n",
|
|
"\n",
|
|
"d= n + 1\n",
|
|
"\n",
|
|
"# --- Extracting and Plotting State Vector Components ---\n",
|
|
"# Create an array of states; each state is flattened into a 1D array of length d^2\n",
|
|
"states = np.array([state.full().flatten() for state in result.states])\n",
|
|
"# Compute probabilities: squared magnitude of each component\n",
|
|
"probs = np.abs(states)**2\n",
|
|
"\n",
|
|
"# Create labels for each basis state in the two-site Fock space\n",
|
|
"basis_labels = [f\"|{n0},{n1}>\" for n0 in range(d) for n1 in range(d)]\n",
|
|
"# Create a list of corresponding total particle numbers for each basis state\n",
|
|
"total_particles = [n0 + n1 for n0 in range(d) for n1 in range(d)]\n",
|
|
"\n",
|
|
"# Filter indices for basis states with exactly 2 particles\n",
|
|
"indices_2particles = [idx for idx, tot in enumerate(total_particles) if tot == np.sum(initial_occ)]\n",
|
|
"labels_2particles = [basis_labels[idx] for idx in indices_2particles]\n",
|
|
"\n",
|
|
"#fidelity as the probability for |2,0> in the last 10% of steps\n",
|
|
"#calculate fidelity\n",
|
|
"fid = np.mean(probs[int(0.9*len(tlist)):,indices_2particles[-1]])\n",
|
|
"print(f\"fidelity: {fid:.5f}\")\n",
|
|
"\n",
|
|
"#alternatively with ratio Delta/U\n",
|
|
"interactions = np.linspace(U[0],U[1],len(tlist))\n",
|
|
"tilt = np.linspace(Delta[0],Delta[1],len(tlist))\n",
|
|
"ratio = tilt/interactions\n",
|
|
"\n",
|
|
"fig, axs = plt.subplots(1, 3, figsize=(18, 5))\n",
|
|
"\n",
|
|
"# --- Plot 1: Probability of 2-particle basis states ---\n",
|
|
"for idx, label in zip(indices_2particles, labels_2particles):\n",
|
|
" axs[0].plot(ratio[:int(1*len(tlist))], probs[:, idx][:int(1*len(tlist))], label=label)\n",
|
|
"axs[0].set_xscale(\"log\")\n",
|
|
"axs[0].set_xlabel(r'$\\Delta /U$ []')\n",
|
|
"axs[0].set_ylabel('Probability')\n",
|
|
"axs[0].set_title(f'{n}-Particle Basis State Probabilities')\n",
|
|
"axs[0].legend()\n",
|
|
"axs[0].grid(which=\"both\")\n",
|
|
"\n",
|
|
"# --- Plot 2: Occupation number vs time ---\n",
|
|
"axs[1].plot(tlist, result.expect[0], label='Site 0')\n",
|
|
"axs[1].plot(tlist, result.expect[1], label='Site 1')\n",
|
|
"axs[1].set_ylim(-0.2,6.2)\n",
|
|
"axs[1].set_xlabel('Time [s]')\n",
|
|
"axs[1].set_ylabel('Occupation number')\n",
|
|
"axs[1].set_title('Occupation Number Over Time')\n",
|
|
"axs[1].legend()\n",
|
|
"axs[1].grid(True)\n",
|
|
"\n",
|
|
"# --- Plot 3: Energies vs time ---\n",
|
|
"axs[2].plot(tlist, np.linspace(Delta[0]/2/np.pi, Delta[1]/2/np.pi, N_steps), label=\"tilt\")\n",
|
|
"\n",
|
|
"axs[2].plot(tlist, ((15*U[0] - 10*U[0])/2/np.pi +V*(6*0 - 5*1)/2/np.pi)*np.ones(N_steps), label=\"transition |51> -> |60>\")\n",
|
|
"axs[2].plot(tlist, ((10*U[0] - 7*U[0])/2/np.pi +V*(5*1 - 4*2)/2/np.pi)*np.ones(N_steps), label=\"transition |42> -> |51>\")\n",
|
|
"axs[2].plot(tlist, ((7*U[0] - 6*U[0])/2/np.pi +V*(4*2 - 3*3)/2/np.pi)*np.ones(N_steps), label=\"transition |33> -> |42>\")\n",
|
|
"\n",
|
|
"axs[2].set_ylim(bottom=0)\n",
|
|
"axs[2].set_xlabel('Time [s]')\n",
|
|
"axs[2].set_ylabel('energy/h [Hz]')\n",
|
|
"axs[2].set_title('parameter ramping')\n",
|
|
"axs[2].legend()\n",
|
|
"axs[2].grid(True)\n",
|
|
"\n",
|
|
"plt.tight_layout()\n",
|
|
"plt.show()\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Ramping interactions as well"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 25,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"d: 745.43 nm\n",
|
|
"omega_x: 50000.00 Hz\n",
|
|
"J: 10.33 Hz\n",
|
|
"limits set by: 1st excited state = 687.56 Hz, barrier = 4053.51 Hz, interactions = 4310.78 Hz\n",
|
|
"=> max. tilt/interaction: 687.56 Hz\n",
|
|
"J/U = 0.0451\n",
|
|
"V: -0.17 Hz\n",
|
|
"DeltaJ: -0.55 Hz\n",
|
|
"ramp time: 968.363 ms\n",
|
|
"fidelity: 0.98621\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
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"text/plain": [
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"<Figure size 1800x500 with 3 Axes>"
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]
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},
|
|
"metadata": {},
|
|
"output_type": "display_data"
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}
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|
],
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"source": [
|
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"n = 6\n",
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"\n",
|
|
"initial_occ=np.array([n-1,1])\n",
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"\n",
|
|
"#maximum energy scale for ramp\n",
|
|
"#assuming that staying below 25% of the 1st excited state is enough\n",
|
|
"#and the contact scattering length can be tuned from 0 to 3.5* 85a0\n",
|
|
"limits = np.array([E_exc[0]/10,\n",
|
|
" E_barr[0]/10,\n",
|
|
" U_s[0]*3.5 + np.max(U_dds)])\n",
|
|
"E_max = np.min(limits)/const.hbar\n",
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|
"\n",
|
|
"# --- Parameters ---\n",
|
|
"J_freq = J[0]/const.hbar # Hopping amplitude\n",
|
|
"U = (E_max/3, E_max/n) # On-site interaction strength\n",
|
|
"\n",
|
|
"mu = 0.0 # Chemical potential (set to zero for simplicity)\n",
|
|
"V = V_lrs[0,np.argmin(np.abs(V_lrs))]/const.hbar # nearest neighbour interaction energy (due to DDI)\n",
|
|
"DeltaJ = DeltaJs[0,np.argmin(np.abs(V_lrs))]/const.hbar # density induced tunneling\n",
|
|
"# V = V_lrs.max()/const.hbar # nearest neighbour interaction energy (due to DDI)\n",
|
|
"# DeltaJ = DeltaJs.max()/const.hbar # density induced tunneling\n",
|
|
"\n",
|
|
"Delta = ((n-2)*U[0]- (n-2)*V, n*U[0]) #tilt\n",
|
|
"\n",
|
|
"tau = 2*np.pi/J_freq *10 #take 10 times the time scale set by J for evolution\n",
|
|
"N_steps = int(1e3) #number of timesteps\n",
|
|
"\n",
|
|
"print(f\"d: {distance[0]/si.nm:.2f} nm\")\n",
|
|
"print(f\"omega_x: {frequencies[0]/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"J: {J_freq/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"limits set by: 1st excited state = {limits[0]/const.h:.2f} Hz, barrier = {limits[1]/const.h:.2f} Hz, interactions = {limits[2]/const.h:.2f} Hz\")\n",
|
|
"print(f\"=> max. tilt/interaction: {E_max/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"J/U = {J_freq/U[0]:.4f}\")\n",
|
|
"print(f\"V: {V/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"DeltaJ: {DeltaJ/2/np.pi:.2f} Hz\")\n",
|
|
"print(f\"ramp time: {tau/si.ms:.3f} ms\")\n",
|
|
"\n",
|
|
"tlist, result = solve_hub(J_freq,U,Delta, mu,V,DeltaJ,tau,N_steps=N_steps,\n",
|
|
" initial_occ=initial_occ)\n",
|
|
"\n",
|
|
"d= n + 1\n",
|
|
"\n",
|
|
"# --- Extracting and Plotting State Vector Components ---\n",
|
|
"# Create an array of states; each state is flattened into a 1D array of length d^2\n",
|
|
"states = np.array([state.full().flatten() for state in result.states])\n",
|
|
"# Compute probabilities: squared magnitude of each component\n",
|
|
"probs = np.abs(states)**2\n",
|
|
"\n",
|
|
"# Create labels for each basis state in the two-site Fock space\n",
|
|
"basis_labels = [f\"|{n0},{n1}>\" for n0 in range(d) for n1 in range(d)]\n",
|
|
"# Create a list of corresponding total particle numbers for each basis state\n",
|
|
"total_particles = [n0 + n1 for n0 in range(d) for n1 in range(d)]\n",
|
|
"\n",
|
|
"# Filter indices for basis states with exactly 2 particles\n",
|
|
"indices_2particles = [idx for idx, tot in enumerate(total_particles) if tot == np.sum(initial_occ)]\n",
|
|
"labels_2particles = [basis_labels[idx] for idx in indices_2particles]\n",
|
|
"\n",
|
|
"#fidelity as the probability for |2,0> in the last 10% of steps\n",
|
|
"#calculate fidelity\n",
|
|
"fid = np.mean(probs[int(0.9*len(tlist)):,indices_2particles[-1]])\n",
|
|
"print(f\"fidelity: {fid:.5f}\")\n",
|
|
"\n",
|
|
"#alternatively with ratio Delta/U\n",
|
|
"interactions = np.linspace(U[0],U[1],len(tlist))\n",
|
|
"tilt = np.linspace(Delta[0],Delta[1],len(tlist))\n",
|
|
"ratio = tilt/interactions\n",
|
|
"\n",
|
|
"fig, axs = plt.subplots(1, 3, figsize=(18, 5))\n",
|
|
"\n",
|
|
"# --- Plot 1: Probability of 2-particle basis states ---\n",
|
|
"for idx, label in zip(indices_2particles, labels_2particles):\n",
|
|
" axs[0].plot(ratio[:int(1*len(tlist))], probs[:, idx][:int(1*len(tlist))], label=label)\n",
|
|
"axs[0].set_xscale(\"log\")\n",
|
|
"axs[0].set_xlabel(r'$\\Delta /U$ []')\n",
|
|
"axs[0].set_ylabel('Probability')\n",
|
|
"axs[0].set_title(f'{n}-Particle Basis State Probabilities')\n",
|
|
"axs[0].legend()\n",
|
|
"axs[0].grid(which=\"both\")\n",
|
|
"\n",
|
|
"# --- Plot 2: Occupation number vs time ---\n",
|
|
"axs[1].plot(tlist, result.expect[0], label='Site 0')\n",
|
|
"axs[1].plot(tlist, result.expect[1], label='Site 1')\n",
|
|
"axs[1].set_ylim(-0.2,6.2)\n",
|
|
"axs[1].set_xlabel('Time [s]')\n",
|
|
"axs[1].set_ylabel('Occupation number')\n",
|
|
"axs[1].set_title('Occupation Number Over Time')\n",
|
|
"axs[1].legend()\n",
|
|
"axs[1].grid(True)\n",
|
|
"\n",
|
|
"# --- Plot 3: Energies vs time ---\n",
|
|
"axs[2].plot(tlist, np.linspace(Delta[0]/2/np.pi, Delta[1]/2/np.pi, N_steps), label=\"tilt\")\n",
|
|
"\n",
|
|
"axs[2].plot(tlist, ((15*U[0] - 10*U[0])/2/np.pi +V*(6*0 - 5*1)/2/np.pi)*np.ones(N_steps), label=\"transition |51> -> |60>\")\n",
|
|
"axs[2].plot(tlist, ((10*U[0] - 7*U[0])/2/np.pi +V*(5*1 - 4*2)/2/np.pi)*np.ones(N_steps), label=\"transition |42> -> |51>\")\n",
|
|
"axs[2].plot(tlist, ((7*U[0] - 6*U[0])/2/np.pi +V*(4*2 - 3*3)/2/np.pi)*np.ones(N_steps), label=\"transition |33> -> |42>\")\n",
|
|
"\n",
|
|
"axs[2].set_ylim(bottom=0)\n",
|
|
"axs[2].set_xlabel('Time [s]')\n",
|
|
"axs[2].set_ylabel('energy/h [Hz]')\n",
|
|
"axs[2].set_title('parameter ramping')\n",
|
|
"axs[2].legend()\n",
|
|
"axs[2].grid(True)\n",
|
|
"\n",
|
|
"plt.tight_layout()\n",
|
|
"plt.show()\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Ramping the tunneling"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 133,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def solve_hub_J(J,U,Delta,mu,V,DeltaJ,tau,\n",
|
|
" N_steps=1000, initial_occ=[1,1]):\n",
|
|
" \"\"\"\n",
|
|
" Solves and evolves (duration of tau) the Hubbard-Hamiltonian for the given\n",
|
|
" parameters and ramping. Input parameters as angular frequencies and U,Delta\n",
|
|
" as tuple of start and end value.\n",
|
|
" \"\"\"\n",
|
|
" # Maximum boson number per site (Hilbert space dimension d = Nmax+1)\n",
|
|
" Nmax = initial_occ[0] + initial_occ[1]\n",
|
|
" d = Nmax + 1\n",
|
|
"\n",
|
|
" # --- Define Operators ---\n",
|
|
" # Single-site bosonic operators in the truncated Fock space\n",
|
|
" a = qt.destroy(d)\n",
|
|
" adag = a.dag()\n",
|
|
" n_op = adag * a\n",
|
|
"\n",
|
|
" # --- Construct Hamiltonian ---\n",
|
|
" # Hopping term: -J (a† ⊗ a + a ⊗ a†)\n",
|
|
" H_hop = -1* (qt.tensor(adag, a) + qt.tensor(a, adag))\n",
|
|
" # Define the time-dependent function for the hopping\n",
|
|
" def hop_func(t, args):\n",
|
|
" return args['J0']+ (args['J1']-args['J0'])* t/args['tau']\n",
|
|
" hop_args = {'J0': J[0], 'J1': J[1], 'tau': tau}\n",
|
|
"\n",
|
|
" # Interaction term: (U/2) * [n(n-1)] on each site\n",
|
|
" # We subtract the identity appropriately to compute n(n-1)\n",
|
|
" H_int = 0.5*U*(qt.tensor(n_op * (n_op - qt.qeye(d)), qt.qeye(d)) +\n",
|
|
" qt.tensor(qt.qeye(d), n_op * (n_op - qt.qeye(d))))\n",
|
|
" # Define the time-dependent function for the interaction\n",
|
|
" # def int_func(t, args):\n",
|
|
" # return args['U0']+ (args['U1']-args['U0'])* t/args['tau']\n",
|
|
" # int_args = {'U0': U[0], 'U1': U[1], 'tau': tau}\n",
|
|
" \n",
|
|
" # Chemical potential term (if desired)\n",
|
|
" H_mu = -mu* (qt.tensor(n_op, qt.qeye(d)) + qt.tensor(qt.qeye(d), n_op))\n",
|
|
"\n",
|
|
" #tilt potential\n",
|
|
" H_tilt = (1*qt.tensor(n_op, qt.qeye(d)) + 2*qt.tensor(qt.qeye(d), n_op))\n",
|
|
" # Define the time-dependent function for the tilt\n",
|
|
" def tilt_func(t, args):\n",
|
|
" return args['D0']+ (args['D1']-args['D0'])* t/args['tau']\n",
|
|
" tilt_args = {'D0': Delta[0], 'D1': Delta[1], 'tau': tau}\n",
|
|
"\n",
|
|
" #nearest neighbour interaction\n",
|
|
" H_nni = V* qt.tensor(n_op, qt.qeye(d)) * qt.tensor(qt.qeye(d), n_op)\n",
|
|
"\n",
|
|
" #density induced tunneling\n",
|
|
" H_dit = -DeltaJ* (qt.tensor(adag,a)* (qt.tensor(n_op,qt.qeye(d)) + qt.tensor(n_op,qt.qeye(d)) - 1) +\n",
|
|
" qt.tensor(a,adag)* (qt.tensor(n_op,qt.qeye(d)) + qt.tensor(n_op,qt.qeye(d)) - 1))\n",
|
|
"\n",
|
|
"\n",
|
|
" # Total Hamiltonian\n",
|
|
" H_static = H_hop + H_mu + H_nni + H_dit\n",
|
|
" H = [H_static, [H_hop, hop_func],[H_tilt, tilt_func]]\n",
|
|
" \n",
|
|
"\n",
|
|
"\n",
|
|
" # --- Define Initial State ---\n",
|
|
" # The product Fock state |1,1> (one boson per site)\n",
|
|
" psi0 = qt.tensor(qt.basis(d, initial_occ[0]), qt.basis(d, initial_occ[1]))\n",
|
|
"\n",
|
|
" # --- Time Evolution Setup ---\n",
|
|
" tlist = np.linspace(0, tau, N_steps) # Evolve from time 0 to 5 in 101 steps\n",
|
|
"\n",
|
|
" # We want to monitor the number operator expectation values at each site.\n",
|
|
" e_ops = [qt.tensor(n_op, qt.qeye(d)), qt.tensor(qt.qeye(d), n_op)]\n",
|
|
"\n",
|
|
" # Create an Options object with store_states=True\n",
|
|
" #opts = qt.Options(store_states=True, nsteps=10000)\n",
|
|
" opts = {\"store_states\": True, \"nsteps\": 10000}\n",
|
|
"\n",
|
|
" # Run the evolution and store the full state history\n",
|
|
" result = qt.sesolve(H, psi0, tlist, e_ops=e_ops, options=opts,\n",
|
|
" args= tilt_args | hop_args)\n",
|
|
" \n",
|
|
" return tlist, result"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 137,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"d: 745.43 nm\n",
|
|
"omega_x: 50000.00 Hz\n",
|
|
"J: 10.33 Hz\n",
|
|
"limits set by: 1st excited state = 687.56 Hz, barrier = 4053.51 Hz, interactions = 4310.78 Hz\n",
|
|
"=> max. tilt/interaction: 687.56 Hz\n",
|
|
"J/U = 0.0901\n",
|
|
"V: -0.17 Hz\n",
|
|
"DeltaJ: -0.55 Hz\n",
|
|
"ramp time: 968.363 ms\n",
|
|
"fidelity: 0.00091\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
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",
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"text/plain": [
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"<Figure size 1800x500 with 3 Axes>"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
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"n = 6\n",
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"\n",
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"initial_occ=np.array([n-1,1])\n",
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"\n",
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"#maximum energy scale for ramp\n",
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"#assuming that staying below 25% of the 1st excited state is enough\n",
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"#and the contact scattering length can be tuned from 0 to 3.5* 85a0\n",
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"limits = np.array([E_exc[0]/10,\n",
|
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" E_barr[0]/10,\n",
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" U_s[0]*3.5 + np.max(U_dds)])\n",
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"E_max = np.min(limits)/const.hbar\n",
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"\n",
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"# --- Parameters ---\n",
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"J_freq = J[0]/const.hbar # Hopping amplitude\n",
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"J_args=(J_freq,0)\n",
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"U = E_max/n # On-site interaction strength\n",
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"\n",
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"mu = 0.0 # Chemical potential (set to zero for simplicity)\n",
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"V = V_lrs[0,np.argmin(np.abs(V_lrs))]/const.hbar # nearest neighbour interaction energy (due to DDI)\n",
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"DeltaJ = DeltaJs[0,np.argmin(np.abs(V_lrs))]/const.hbar # density induced tunneling\n",
|
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"# V = V_lrs.max()/const.hbar # nearest neighbour interaction energy (due to DDI)\n",
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"# DeltaJ = DeltaJs.max()/const.hbar # density induced tunneling\n",
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"\n",
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"Delta = ((U+V)*(n-1),(U+V)*(n-1)) #((n-2)*U[0]- (n-2)*V, n*U[0]) #tilt\n",
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"\n",
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"tau = 2*np.pi/J_freq *10 #take 10 times the time scale set by J for evolution\n",
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"N_steps = int(1e3) #number of timesteps\n",
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"\n",
|
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"print(f\"d: {distance[0]/si.nm:.2f} nm\")\n",
|
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"print(f\"omega_x: {frequencies[0]/2/np.pi:.2f} Hz\")\n",
|
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"print(f\"J: {J_freq/2/np.pi:.2f} Hz\")\n",
|
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"print(f\"limits set by: 1st excited state = {limits[0]/const.h:.2f} Hz, barrier = {limits[1]/const.h:.2f} Hz, interactions = {limits[2]/const.h:.2f} Hz\")\n",
|
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"print(f\"=> max. tilt/interaction: {E_max/2/np.pi:.2f} Hz\")\n",
|
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"print(f\"J/U = {J_freq/U:.4f}\")\n",
|
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"print(f\"V: {V/2/np.pi:.2f} Hz\")\n",
|
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"print(f\"DeltaJ: {DeltaJ/2/np.pi:.2f} Hz\")\n",
|
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"print(f\"ramp time: {tau/si.ms:.3f} ms\")\n",
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"\n",
|
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"tlist, result = solve_hub_J(J_args,U,Delta, mu,V,DeltaJ,tau,N_steps=N_steps,\n",
|
|
" initial_occ=initial_occ)\n",
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"\n",
|
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"d= n + 1\n",
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"\n",
|
|
"# --- Extracting and Plotting State Vector Components ---\n",
|
|
"# Create an array of states; each state is flattened into a 1D array of length d^2\n",
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"states = np.array([state.full().flatten() for state in result.states])\n",
|
|
"# Compute probabilities: squared magnitude of each component\n",
|
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"probs = np.abs(states)**2\n",
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"\n",
|
|
"# Create labels for each basis state in the two-site Fock space\n",
|
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"basis_labels = [f\"|{n0},{n1}>\" for n0 in range(d) for n1 in range(d)]\n",
|
|
"# Create a list of corresponding total particle numbers for each basis state\n",
|
|
"total_particles = [n0 + n1 for n0 in range(d) for n1 in range(d)]\n",
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"\n",
|
|
"# Filter indices for basis states with exactly 2 particles\n",
|
|
"indices_2particles = [idx for idx, tot in enumerate(total_particles) if tot == np.sum(initial_occ)]\n",
|
|
"labels_2particles = [basis_labels[idx] for idx in indices_2particles]\n",
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"\n",
|
|
"#fidelity as the probability for |2,0> in the last 10% of steps\n",
|
|
"#calculate fidelity\n",
|
|
"fid = np.mean(probs[int(0.9*len(tlist)):,indices_2particles[-1]])\n",
|
|
"print(f\"fidelity: {fid:.5f}\")\n",
|
|
"\n",
|
|
"#alternatively with ratio Delta/U\n",
|
|
"interactions = np.linspace(U,U,len(tlist))\n",
|
|
"tilt = np.linspace(Delta[0],Delta[1],len(tlist))\n",
|
|
"ratio = tilt/interactions\n",
|
|
"\n",
|
|
"fig, axs = plt.subplots(1, 3, figsize=(18, 5))\n",
|
|
"\n",
|
|
"# --- Plot 1: Probability of 2-particle basis states ---\n",
|
|
"for idx, label in zip(indices_2particles, labels_2particles):\n",
|
|
" #axs[0].plot(ratio[:int(1*len(tlist))], probs[:, idx][:int(1*len(tlist))], label=label)\n",
|
|
" axs[0].plot(tlist[:int(1*len(tlist))], probs[:, idx][:int(1*len(tlist))], label=label)\n",
|
|
"axs[0].set_xscale(\"linear\")\n",
|
|
"axs[0].set_xlabel(r'$\\Delta /U$ []')\n",
|
|
"axs[0].set_ylabel('Probability')\n",
|
|
"axs[0].set_title(f'{n}-Particle Basis State Probabilities')\n",
|
|
"axs[0].legend()\n",
|
|
"axs[0].grid(which=\"both\")\n",
|
|
"\n",
|
|
"# --- Plot 2: Occupation number vs time ---\n",
|
|
"axs[1].plot(tlist, result.expect[0], label='Site 0')\n",
|
|
"axs[1].plot(tlist, result.expect[1], label='Site 1')\n",
|
|
"axs[1].set_ylim(-0.2,6.2)\n",
|
|
"axs[1].set_xlabel('Time [s]')\n",
|
|
"axs[1].set_ylabel('Occupation number')\n",
|
|
"axs[1].set_title('Occupation Number Over Time')\n",
|
|
"axs[1].legend()\n",
|
|
"axs[1].grid(True)\n",
|
|
"\n",
|
|
"# --- Plot 3: Energies vs time ---\n",
|
|
"axs[2].plot(tlist, np.linspace(Delta[0]/2/np.pi, Delta[1]/2/np.pi, N_steps), label=\"tilt\")\n",
|
|
"\n",
|
|
"axs[2].plot(tlist, ((15*U - 10*U)/2/np.pi +V*(6*0 - 5*1)/2/np.pi)*np.ones(N_steps), label=\"transition |51> -> |60>\")\n",
|
|
"axs[2].plot(tlist, ((10*U - 7*U)/2/np.pi +V*(5*1 - 4*2)/2/np.pi)*np.ones(N_steps), label=\"transition |42> -> |51>\")\n",
|
|
"axs[2].plot(tlist, ((7*U - 6*U)/2/np.pi +V*(4*2 - 3*3)/2/np.pi)*np.ones(N_steps), label=\"transition |33> -> |42>\")\n",
|
|
"\n",
|
|
"axs[2].set_ylim(bottom=0)\n",
|
|
"axs[2].set_xlabel('Time [s]')\n",
|
|
"axs[2].set_ylabel('energy/h [Hz]')\n",
|
|
"axs[2].set_title('parameter ramping')\n",
|
|
"axs[2].legend()\n",
|
|
"axs[2].grid(True)\n",
|
|
"\n",
|
|
"plt.tight_layout()\n",
|
|
"plt.show()\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 138,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(64.88463216304253, 0)"
|
|
]
|
|
},
|
|
"execution_count": 138,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"J_args"
|
|
]
|
|
}
|
|
],
|
|
"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": "3.12.3"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|