\n",
" David E. Bernal Neira\n",
" \n",
" Davidson School of Chemical Engineering, Purdue University\n",
" \n",
" \n",
" Pedro Maciel Xavier\n",
" \n",
" Davidson School of Chemical Engineering, Purdue University\n",
" \n",
" Computer Science & Systems Engineering Program, Federal University of Rio de Janeiro\n",
" \n",
" \n",
" Benjamin J. L. Murray\n",
" \n",
" Davidson School of Chemical Engineering, Purdue University\n",
" \n",
" Undergraduate Research Assistant\n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Introduction to Mathematical Programming\n",
"### Modeling\n",
"The solution of optimization problems requires the development of a mathematical model. Here we will model an example given in the lecture and see how an integer program can be solved practically. This example will use as modeling language **[Pyomo](http://www.pyomo.org/)**, an open-source Python package, which provides a flexible access to different solvers and a general modeling framework for linear and nonlinear integer programs.\n",
"The examples solved here will make use of open-source solvers **[GLPK](https://www.gnu.org/software/glpk/)** and **[CLP/CBC](https://projects.coin-or.org/Cbc)** for linear and mixed-integer linear programming, **[IPOPT](https://coin-or.github.io/Ipopt/)** for interior point (non)linear programming, **[BONMIN](https://www.coin-or.org/Bonmin/)** for convex integer nonlinear programming and **[COUENNE](https://projects.coin-or.org/Couenne)** for nonconvex (global) integer nonlinear programming."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# If using this on Google collab, we need to install the packages\n",
"try:\n",
" import google.colab\n",
" IN_COLAB = True\n",
"except:\n",
" IN_COLAB = False\n",
"\n",
"# Let's start with Pyomo\n",
"if IN_COLAB:\n",
" !pip install -q pyomo\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Import the Pyomo library, which can be installed via pip, conda or from Github https://github.com/Pyomo/pyomo\n",
"import pyomo.environ as pyo\n",
"# Import Matplotlib to generate plots\n",
"import matplotlib.pyplot as plt\n",
"# Import numpy and scipy for certain numerical calculations below\n",
"import numpy as np\n",
"from scipy.special import gamma\n",
"import math\n",
"import sys\n",
"import os"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Problem statement\n",
"\n",
"Suppose there is a company that produces two different products, A and B, which can be sold at different values, $\\$5.5$ and $\\$2.1$ per unit, respectively.\n",
"The company only counts with a single machine with electricity usage of at most 17kW/day. Producing each A and B consumes $8\\text{kW}/\\text{day}$ and $2\\text{kW}/\\text{day}$, respectively.\n",
"Besides, the company can only produce at most $2$ more units of B than A per day."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Linear Programming\n",
"This is a valid model, but it would be easier to solve if we had a mathematical representation.\n",
"Assuming the units produced of A are $x_1$ and of B are $x_2$ we have\n",
"\n",
"$$\n",
"\\begin{array}{rl}\n",
" \\displaystyle%\n",
" \\max_{x_1, x_2} & 5.5x_1 + 2.1x_2 \\\\\n",
" \\textrm{s.t.} & x_2 \\le x_1 + 2 \\\\\n",
" & 8x_1 + 2x_2 \\le 17 \\\\\n",
" & x_1, x_2 \\ge 0\n",
"\\end{array}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Generate the feasible region plot of this problem\n",
"\n",
"# Define meshgrid for feasible region\n",
"d = np.linspace(-0.5,3.5,300)\n",
"x1,x2 = np.meshgrid(d,d)\n",
"\n",
"# Define the lines for the constraints\n",
"x = np.linspace(x1.min(), x1.max(), 2000)\n",
"# x2 <= x1 + 2\n",
"x21 = x + 2\n",
"# 8*x1 + 2*x2 <= 17\n",
"x22 = (17-8*x)/2.0\n",
"# obj: min 7.3x1 + 2.1x2\n",
"Z = 5.5*x1 + 2.1*x2\n",
"\n",
"# generate heatmap from objective function\n",
"objective_heatmap = np.fromfunction(lambda i, j:5.5 * i + 2.1 * j,(300,300), dtype=float)\n",
"\n",
"# Plot feasible region\n",
"fig, ax = plt.subplots()\n",
"feas_reg = ax.imshow( (\n",
" (x1>=0) & # Bound 1 \n",
" (x2>=0) & # Bound 2\n",
" (x2 <= x1 + 2) & # Constraint 1\n",
" (8*x1 + 2*x2 <= 17) # Constraint 2\n",
" ).astype(int) \n",
" * objective_heatmap, # objective function\n",
" extent=(x1.min(),x1.max(),x2.min(),x2.max()),origin=\"lower\", cmap=\"OrRd\", alpha = 1)\n",
"\n",
"# Make plots of constraints\n",
"ax.plot(x, x21, label=r'$x_2 \\leq x_1 + 2$')\n",
"ax.plot(x, x22, label=r'$8x_1 + 2x_2 \\leq 17$')\n",
"\n",
"# Nonnegativitivy constraints\n",
"plt.plot(x, np.zeros_like(x), label=r'$x_2 \\geq 0$')\n",
"plt.plot(np.zeros_like(x), x, label=r'$x_1 \\geq 0$')\n",
"\n",
"# plot formatting\n",
"plt.title(\"LP Feasible Region \\n max $z = 5.5x_{1} + 2.1x_{2}$\",fontsize=10,y=1)\n",
"plt.xlim(x1.min(),x1.max())\n",
"plt.ylim(x2.min(),x2.max())\n",
"plt.legend(loc='upper right', prop={'size': 6})\n",
"plt.xlabel(r'$x_1$')\n",
"plt.ylabel(r'$x_2$')\n",
"plt.grid(alpha=0.2)\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1 Var Declarations\n",
" x : Size=2, Index={1, 2}\n",
" Key : Lower : Value : Upper : Fixed : Stale : Domain\n",
" 1 : 0 : None : None : False : True : NonNegativeReals\n",
" 2 : 0 : None : None : False : True : NonNegativeReals\n",
"\n",
"1 Objective Declarations\n",
" obj : Size=1, Index=None, Active=True\n",
" Key : Active : Sense : Expression\n",
" None : True : maximize : 5.5*x[1] + 2.1*x[2]\n",
"\n",
"2 Constraint Declarations\n",
" Constraint1 : Size=1, Index=None, Active=True\n",
" Key : Lower : Body : Upper : Active\n",
" None : -Inf : x[2] - (x[1] + 2) : 0.0 : True\n",
" Constraint2 : Size=1, Index=None, Active=True\n",
" Key : Lower : Body : Upper : Active\n",
" None : -Inf : 8*x[1] + 2*x[2] : 17.0 : True\n",
"\n",
"4 Declarations: x obj Constraint1 Constraint2\n"
]
}
],
"source": [
"# Define the model\n",
"model = pyo.ConcreteModel(name='Simple example LP')\n",
"# Define the variables\n",
"model.x = pyo.Var([1,2], domain=pyo.NonNegativeReals)\n",
"# Define the objective function\n",
"def _obj(m):\n",
" return 5.5*m.x[1] + 2.1*m.x[2]\n",
"\n",
"model.obj = pyo.Objective(rule = _obj, sense=pyo.maximize)\n",
"# Define the constraints\n",
"def _constraint1(m):\n",
" return m.x[2] <= m.x[1] + 2\n",
"\n",
"def _constraint2(m):\n",
" return 8*m.x[1] + 2*m.x[2] <= 17\n",
" \n",
"model.Constraint1 = pyo.Constraint(rule = _constraint1)\n",
"\n",
"model.Constraint2 = pyo.Constraint(rule = _constraint2)\n",
"# Print the model\n",
"model.pprint()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# Let's install the LP/MIP solvers GLPK and CBC\n",
"if IN_COLAB:\n",
" !apt-get install -y -qq glpk-utils\n",
" !apt-get install -y -qq coinor-cbc\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"# Define the solvers GLPK and CBC\n",
"if IN_COLAB:\n",
" opt_glpk = pyo.SolverFactory('glpk', executable='/usr/bin/glpsol')\n",
" opt_cbc = pyo.SolverFactory('cbc', executable='/usr/bin/cbc')\n",
"else:\n",
" opt_glpk = pyo.SolverFactory('glpk')\n",
" opt_cbc = pyo.SolverFactory('cbc')\n",
"# Here we could use another solver, e.g. gurobi or cplex\n",
"# opt_gurobi = pyo.SolverFactory('gurobi')"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"GLPSOL--GLPK LP/MIP Solver 5.0\n",
"Parameter(s) specified in the command line:\n",
" --write /tmp/tmpwrdhqw9n.glpk.raw --wglp /tmp/tmp4auuhham.glpk.glp --cpxlp\n",
" /tmp/tmp6tbj3n1k.pyomo.lp\n",
"Reading problem data from '/tmp/tmp6tbj3n1k.pyomo.lp'...\n",
"2 rows, 2 columns, 4 non-zeros\n",
"23 lines were read\n",
"Writing problem data to '/tmp/tmp4auuhham.glpk.glp'...\n",
"15 lines were written\n",
"GLPK Simplex Optimizer 5.0\n",
"2 rows, 2 columns, 4 non-zeros\n",
"Preprocessing...\n",
"2 rows, 2 columns, 4 non-zeros\n",
"Scaling...\n",
" A: min|aij| = 1.000e+00 max|aij| = 8.000e+00 ratio = 8.000e+00\n",
"Problem data seem to be well scaled\n",
"Constructing initial basis...\n",
"Size of triangular part is 2\n",
"* 0: obj = -0.000000000e+00 inf = 0.000e+00 (2)\n",
"* 2: obj = 1.408000000e+01 inf = 0.000e+00 (0)\n",
"OPTIMAL LP SOLUTION FOUND\n",
"Time used: 0.0 secs\n",
"Memory used: 0.0 Mb (39693 bytes)\n",
"Writing basic solution to '/tmp/tmpwrdhqw9n.glpk.raw'...\n",
"13 lines were written\n"
]
}
],
"source": [
"# Here we solve the optimization problem, the option tee=True prints the solver output\n",
"result_obj = opt_glpk.solve(model, tee=True)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model Simple example LP\n",
"\n",
" Variables:\n",
" x : Size=2, Index={1, 2}\n",
" Key : Lower : Value : Upper : Fixed : Stale : Domain\n",
" 1 : 0 : 1.3 : None : False : False : NonNegativeReals\n",
" 2 : 0 : 3.3 : None : False : False : NonNegativeReals\n",
"\n",
" Objectives:\n",
" obj : Size=1, Index=None, Active=True\n",
" Key : Active : Value\n",
" None : True : 14.08\n",
"\n",
" Constraints:\n",
" Constraint1 : Size=1\n",
" Key : Lower : Body : Upper\n",
" None : None : 0.0 : 0.0\n",
" Constraint2 : Size=1\n",
" Key : Lower : Body : Upper\n",
" None : None : 17.0 : 17.0\n"
]
}
],
"source": [
"# Display solution of the problem\n",
"model.display()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Optimal solution LP\n",
"ax.scatter(1.3,3.3,color='r', label='optimal solution LP')\n",
"ax.get_legend().remove()\n",
"ax.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
"fig.canvas.draw()\n",
"fig"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We observe that the optimal solution of this problem is $x_1 = 1.3$, $x_2 = 3.3$, leading to a profit of $14.08$."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model Simple example LP\n",
"\n",
" Variables:\n",
" x : Size=2, Index={1, 2}\n",
" Key : Lower : Value : Upper : Fixed : Stale : Domain\n",
" 1 : 0 : 1.3 : None : False : False : NonNegativeReals\n",
" 2 : 0 : 3.3 : None : False : False : NonNegativeReals\n",
"\n",
" Objectives:\n",
" obj : Size=1, Index=None, Active=True\n",
" Key : Active : Value\n",
" None : True : 14.08\n",
"\n",
" Constraints:\n",
" Constraint1 : Size=1\n",
" Key : Lower : Body : Upper\n",
" None : None : 0.0 : 0.0\n",
" Constraint2 : Size=1\n",
" Key : Lower : Body : Upper\n",
" None : None : 17.0 : 17.0\n"
]
}
],
"source": [
"# We obtain the same solution with CBC\n",
"result_obj = opt_cbc.solve(model, tee=False)\n",
"model.display()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The solvers GLPK and CLP implement the simplex method (with many improvements) by default but we can also use an interior point method thorugh the solver IPOPT (interior point optimizer). IPOPT is able to not only solve linear but also nonlinear problems."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"# Define the solver IPOPT\n",
"if IN_COLAB:\n",
" !pip install idaes-pse --pre\n",
" !idaes get-extensions --to ./solvers\n",
" os.environ['PATH'] += ':solvers'\n",
" opt_ipopt = pyo.SolverFactory('ipopt', executable='/content/solvers/ipopt')\n",
"else:\n",
" opt_ipopt = pyo.SolverFactory('ipopt')"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Ipopt 3.13.2: \n",
"\n",
"******************************************************************************\n",
"This program contains Ipopt, a library for large-scale nonlinear optimization.\n",
" Ipopt is released as open source code under the Eclipse Public License (EPL).\n",
" For more information visit http://projects.coin-or.org/Ipopt\n",
"\n",
"This version of Ipopt was compiled from source code available at\n",
" https://github.com/IDAES/Ipopt as part of the Institute for the Design of\n",
" Advanced Energy Systems Process Systems Engineering Framework (IDAES PSE\n",
" Framework) Copyright (c) 2018-2019. See https://github.com/IDAES/idaes-pse.\n",
"\n",
"This version of Ipopt was compiled using HSL, a collection of Fortran codes\n",
" for large-scale scientific computation. All technical papers, sales and\n",
" publicity material resulting from use of the HSL codes within IPOPT must\n",
" contain the following acknowledgement:\n",
" HSL, a collection of Fortran codes for large-scale scientific\n",
" computation. See http://www.hsl.rl.ac.uk.\n",
"******************************************************************************\n",
"\n",
"This is Ipopt version 3.13.2, running with linear solver ma27.\n",
"\n",
"Number of nonzeros in equality constraint Jacobian...: 0\n",
"Number of nonzeros in inequality constraint Jacobian.: 4\n",
"Number of nonzeros in Lagrangian Hessian.............: 0\n",
"\n",
"Total number of variables............................: 2\n",
" variables with only lower bounds: 2\n",
" variables with lower and upper bounds: 0\n",
" variables with only upper bounds: 0\n",
"Total number of equality constraints.................: 0\n",
"Total number of inequality constraints...............: 2\n",
" inequality constraints with only lower bounds: 0\n",
" inequality constraints with lower and upper bounds: 0\n",
" inequality constraints with only upper bounds: 2\n",
"\n",
"iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls\n",
" 0 -1.4080000e+01 0.00e+00 1.09e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0\n",
" 1 -1.3912219e+01 0.00e+00 1.00e-06 -1.0 1.00e-01 - 1.00e+00 1.00e+00h 1\n",
" 2 -1.4069173e+01 0.00e+00 1.12e-03 -2.5 1.33e-01 - 9.84e-01 1.00e+00f 1\n",
" 3 -1.4079704e+01 0.00e+00 1.50e-09 -3.8 1.06e-02 - 1.00e+00 1.00e+00f 1\n",
" 4 -1.4079996e+01 0.00e+00 1.84e-11 -5.7 2.45e-04 - 1.00e+00 1.00e+00f 1\n",
" 5 -1.4080000e+01 0.00e+00 2.57e-14 -8.6 3.18e-06 - 1.00e+00 1.00e+00f 1\n",
"\n",
"Number of Iterations....: 5\n",
"\n",
" (scaled) (unscaled)\n",
"Objective...............: -1.4080000135787204e+01 -1.4080000135787204e+01\n",
"Dual infeasibility......: 2.5678265217212132e-14 2.5678265217212132e-14\n",
"Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00\n",
"Complementarity.........: 2.5064622693731291e-09 2.5064622693731291e-09\n",
"Overall NLP error.......: 2.5064622693731291e-09 2.5064622693731291e-09\n",
"\n",
"\n",
"Number of objective function evaluations = 6\n",
"Number of objective gradient evaluations = 6\n",
"Number of equality constraint evaluations = 0\n",
"Number of inequality constraint evaluations = 6\n",
"Number of equality constraint Jacobian evaluations = 0\n",
"Number of inequality constraint Jacobian evaluations = 6\n",
"Number of Lagrangian Hessian evaluations = 5\n",
"Total CPU secs in IPOPT (w/o function evaluations) = 0.001\n",
"Total CPU secs in NLP function evaluations = 0.000\n",
"\n",
"EXIT: Optimal Solution Found.\n",
"Model Simple example LP\n",
"\n",
" Variables:\n",
" x : Size=2, Index={1, 2}\n",
" Key : Lower : Value : Upper : Fixed : Stale : Domain\n",
" 1 : 0 : 1.3000000135344933 : None : False : False : NonNegativeReals\n",
" 2 : 0 : 3.3000000292130904 : None : False : False : NonNegativeReals\n",
"\n",
" Objectives:\n",
" obj : Size=1, Index=None, Active=True\n",
" Key : Active : Value\n",
" None : True : 14.080000135787204\n",
"\n",
" Constraints:\n",
" Constraint1 : Size=1\n",
" Key : Lower : Body : Upper\n",
" None : None : 1.567859708728747e-08 : 0.0\n",
" Constraint2 : Size=1\n",
" Key : Lower : Body : Upper\n",
" None : None : 17.00000016670213 : 17.0\n"
]
}
],
"source": [
"# Here we solve the optimization problem, the option tee=True prints the solver output\n",
"result_obj_ipopt = opt_ipopt.solve(model, tee=True)\n",
"model.display()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We obtain the same result as previously, but notice that the interior point method reports some solution subject to certain tolerance, given by its convergence properties when it can get infinitesimally close (but not directly at) the boundary of the feasible region."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Integer Programming\n",
"Now let's consider that only integer units of each product can be produced, namely\n",
"$$\n",
"\\max_{x_1, x_2} 5.5x_1 + 2.1x_2 \\\\\n",
"s.t. x_2 \\leq x_1 + 2 \\\\\n",
"8x_1 + 2x_2 \\leq 17 \\\\\n",
"x_1, x_2 \\geq 0 \\\\\n",
"x_1, x_2 \\in \\mathbb{Z}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Define grid for integer points\n",
"x1_int, x2_int = np.meshgrid(range(math.ceil(x1.max())), range(math.ceil(x2.max())))\n",
"idx = ((x1_int>=0) & (x2_int <= x1_int + 2) & (8*x1_int + 2*x2_int <= 17) & (x2_int>=0))\n",
"x1_int, x2_int = x1_int[idx], x2_int[idx]\n",
"ax.scatter(x1_int,x2_int,color='k', label='integer points')\n",
"\n",
"# Plotting optimal solution IP\n",
"# plt.title(\"LP Feasible Region \\n max $z = 5.5x_{1} + 2.1x_{2}$\",fontsize=10,y=1)\n",
"ax.set_title(\"ILP Feasible Region \\n max $z = 5.5x_{1} + 2.1x_{2}$\")\n",
"ax.get_legend().remove()\n",
"ax.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
"fig.canvas.draw()\n",
"fig"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1 Var Declarations\n",
" x : Size=2, Index={1, 2}\n",
" Key : Lower : Value : Upper : Fixed : Stale : Domain\n",
" 1 : None : None : None : False : True : Integers\n",
" 2 : None : None : None : False : True : Integers\n",
"\n",
"1 Objective Declarations\n",
" obj : Size=1, Index=None, Active=True\n",
" Key : Active : Sense : Expression\n",
" None : True : maximize : 5.5*x[1] + 2.1*x[2]\n",
"\n",
"2 Constraint Declarations\n",
" Constraint1 : Size=1, Index=None, Active=True\n",
" Key : Lower : Body : Upper : Active\n",
" None : -Inf : x[2] - (x[1] + 2) : 0.0 : True\n",
" Constraint2 : Size=1, Index=None, Active=True\n",
" Key : Lower : Body : Upper : Active\n",
" None : -Inf : 8*x[1] + 2*x[2] : 17.0 : True\n",
"\n",
"4 Declarations: x obj Constraint1 Constraint2\n"
]
}
],
"source": [
"# Define the integer model\n",
"model_ilp = pyo.ConcreteModel(name='Simple example IP, 47-779 QuIP')\n",
"#Define the variables\n",
"model_ilp.x = pyo.Var([1,2], domain=pyo.Integers)\n",
"# Define the objective function\n",
"model_ilp.obj = pyo.Objective(rule = _obj, sense=pyo.maximize)\n",
"# Define the constraints\n",
"model_ilp.Constraint1 = pyo.Constraint(rule = _constraint1)\n",
"\n",
"model_ilp.Constraint2 = pyo.Constraint(rule = _constraint2)\n",
"# Print the model\n",
"model_ilp.pprint()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"# Here we solve the optimization problem, the option tee=True prints the solver output\n",
"result_obj_ilp = opt_cbc.solve(model_ilp, tee=False)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model 'Simple example IP, 47-779 QuIP'\n",
"\n",
" Variables:\n",
" x : Size=2, Index={1, 2}\n",
" Key : Lower : Value : Upper : Fixed : Stale : Domain\n",
" 1 : None : 1.0 : None : False : False : Integers\n",
" 2 : None : 3.0 : None : False : False : Integers\n",
"\n",
" Objectives:\n",
" obj : Size=1, Index=None, Active=True\n",
" Key : Active : Value\n",
" None : True : 11.8\n",
"\n",
" Constraints:\n",
" Constraint1 : Size=1\n",
" Key : Lower : Body : Upper\n",
" None : None : 0.0 : 0.0\n",
" Constraint2 : Size=1\n",
" Key : Lower : Body : Upper\n",
" None : None : 14.0 : 17.0\n"
]
}
],
"source": [
"model_ilp.display()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Optimal solution ILP\n",
"ax.scatter(1,3,color='c', label='optimal solution ILP')\n",
"ax.get_legend().remove()\n",
"ax.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
"fig.canvas.draw()\n",
"fig"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here the solution becomes $x_1 = 1, x_2 = 3$ with an objective of $11.8$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Enumeration\n",
"Enumerating all the possible solutions in this problem might be very efficient (there are only 8 feasible solutions), this this we only know from the plot. Assuming that the upper bounds for variables was instead 4, the possible solutions would then be 16. With a larger number of variables the enumeration turns to be impractical. For $n$ binary variables (we can always \"binarize\" the integer variables) the number of possible solutions is $2^n$.\n",
"\n",
"In many other applications, the possible solutions come from permutations of the integer variables (e.g. assignment problems), which grow as $n!$ with the size of the input.\n",
"\n",
"This growth makes the problem grow out of control fairly quickly."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Possible solutions')"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig2, ax2 = plt.subplots()\n",
"n = np.arange(1,100,1)\n",
"ax2.plot(n,np.exp(n*np.log(2)), label=r'$2^n$')\n",
"ax2.plot(n,gamma(n), label=r'$n!$')\n",
"\n",
"ax2.plot(n,3.154E16*np.ones_like(n), 'g--', label=r'ns in a year')\n",
"ax2.plot(n,4.3E26*np.ones_like(n), 'k--', label=r'age of the universe in ns')\n",
"ax2.plot(n,6E79*np.ones_like(n), 'r--', label=r'atoms in the universe')\n",
"plt.yscale('log')\n",
"\n",
"plt.legend()\n",
"plt.xlabel(r'$n$')\n",
"plt.ylabel('Possible solutions')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Integer convex nonlinear programming\n",
"The following constraint \"the production of B minus 1 squared can only be smaller than 2 minus the production of A\" can be incorporated in the following convex integer nonlinear program\n",
"$$\n",
"\\max_{x_1, x_2} 5.5x_1 + 2.1x_2 \\\\\n",
"s.t. x_2 \\leq x_1 + 2 \\\\\n",
"8x_1 + 2x_2 \\leq 17 \\\\\n",
"(x_2-1)^2 \\leq 2-x_1\\\\\n",
"x_1, x_2 \\geq 0 \\\\\n",
"x_1, x_2 \\in \\mathbb{Z}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Define grid for integer points\n",
"feas_reg.remove()\n",
"feas_reg = ax.imshow( (\n",
" (x1>=0) & # Bound 1 \n",
" (x2>=0) & # Bound 2\n",
" (x2 <= x1 + 2) & # Constraint 1\n",
" (8*x1 + 2*x2 <= 17) & # Constraint 2\n",
" ((x2-1)**2 <= 2-x1) # Nonlinear constraint\n",
" ).astype(int) \n",
" * objective_heatmap, # objective function, \n",
" extent=(x1.min(),x1.max(),x2.min(),x2.max()),origin=\"lower\", cmap=\"OrRd\", alpha = .8)\n",
"\n",
"\n",
"x1nl = 2- (x - 1)**2\n",
"# Nonlinear constraint\n",
"nl_const = ax.plot(x1nl, x, label=r'$(x_2-1)^2 \\leq 2-x_1$')\n",
"\n",
"# Plotting optimal solution INLP\n",
"ax.set_title(\"INLP Feasible Region \\n max $z = 5.5x_{1} + 2.1x_{2}$\")\n",
"ax.get_legend().remove()\n",
"ax.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
"fig.canvas.draw()\n",
"fig"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1 Var Declarations\n",
" x : Size=2, Index={1, 2}\n",
" Key : Lower : Value : Upper : Fixed : Stale : Domain\n",
" 1 : None : None : None : False : True : Integers\n",
" 2 : None : None : None : False : True : Integers\n",
"\n",
"1 Objective Declarations\n",
" obj : Size=1, Index=None, Active=True\n",
" Key : Active : Sense : Expression\n",
" None : True : maximize : 5.5*x[1] + 2.1*x[2]\n",
"\n",
"3 Constraint Declarations\n",
" Constraint1 : Size=1, Index=None, Active=True\n",
" Key : Lower : Body : Upper : Active\n",
" None : -Inf : x[2] - (x[1] + 2) : 0.0 : True\n",
" Constraint2 : Size=1, Index=None, Active=True\n",
" Key : Lower : Body : Upper : Active\n",
" None : -Inf : 8*x[1] + 2*x[2] : 17.0 : True\n",
" Constraint3 : Size=1, Index=None, Active=True\n",
" Key : Lower : Body : Upper : Active\n",
" None : -Inf : (x[2] - 1)**2 - (2 - x[1]) : 0.0 : True\n",
"\n",
"5 Declarations: x obj Constraint1 Constraint2 Constraint3\n"
]
}
],
"source": [
"# Define the integer model\n",
"model_cinlp = pyo.ConcreteModel(name='Simple example convex INLP, 47-779 QuIP')\n",
"#Define the variables\n",
"model_cinlp.x = pyo.Var([1,2], domain=pyo.Integers)\n",
"# Define the objective function\n",
"model_cinlp.obj = pyo.Objective(rule = _obj, sense=pyo.maximize)\n",
"# Define the constraints\n",
"model_cinlp.Constraint1 = pyo.Constraint(rule = _constraint1)\n",
"\n",
"model_cinlp.Constraint2 = pyo.Constraint(rule = _constraint2)\n",
"\n",
"model_cinlp.Constraint3 = pyo.Constraint(expr = (model_cinlp.x[2]-1)**2 <= 2 - model_cinlp.x[1])\n",
"\n",
"\n",
"# Print the model\n",
"model_cinlp.pprint()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"# Define the solver BONMIN\n",
"if IN_COLAB:\n",
" opt_bonmin = pyo.SolverFactory('bonmin', executable='/content/solvers/bonmin')\n",
"else:\n",
" opt_bonmin = pyo.SolverFactory('bonmin')"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model 'Simple example convex INLP, 47-779 QuIP'\n",
"\n",
" Variables:\n",
" x : Size=2, Index={1, 2}\n",
" Key : Lower : Value : Upper : Fixed : Stale : Domain\n",
" 1 : None : 1.0 : None : False : False : Integers\n",
" 2 : None : 2.0 : None : False : False : Integers\n",
"\n",
" Objectives:\n",
" obj : Size=1, Index=None, Active=True\n",
" Key : Active : Value\n",
" None : True : 9.7\n",
"\n",
" Constraints:\n",
" Constraint1 : Size=1\n",
" Key : Lower : Body : Upper\n",
" None : None : -1.0 : 0.0\n",
" Constraint2 : Size=1\n",
" Key : Lower : Body : Upper\n",
" None : None : 12.0 : 17.0\n",
" Constraint3 : Size=1\n",
" Key : Lower : Body : Upper\n",
" None : None : 0.0 : 0.0\n"
]
}
],
"source": [
"# Here we solve the optimization problem, the option tee=True prints the solver output\n",
"result_obj_cinlp = opt_bonmin.solve(model_cinlp, tee=False)\n",
"model_cinlp.display()"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ax.scatter(1,2,color='m', label='optimal solution convex INLP')\n",
"ax.get_legend().remove()\n",
"ax.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
"fig.canvas.draw()\n",
"fig"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this case the optimal solution becomes $x_1 = 1, x_2 = 2$ with an objective of $9.7$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Integer non-convex programming\n",
"The last constraint \"the production of B minus 1 squared can only be greater than the production of A plus one half\" can be incorporated in the following convex integer nonlinear program\n",
"$$\n",
"\\max_{x_1, x_2} 5.5x_1 + 2.1x_2 \\\\\n",
"s.t. x_2 \\leq x_1 + 2 \\\\\n",
"8x_1 + 2x_2 \\leq 17 \\\\\n",
"(x_2-1)^2 \\leq 2-x_1\\\\\n",
"(x_2-1)^2 \\geq 1/2+x_1\\\\\n",
"x_1, x_2 \\geq 0 \\\\\n",
"x_1, x_2 \\in \\mathbb{Z}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Define grid for integer points\n",
"feas_reg.remove()\n",
"feas_reg = ax.imshow( (\n",
" (x1>=0) & # Bound 1 \n",
" (x2>=0) & # Bound 2\n",
" (x2 <= x1 + 2) & # Constraint 1\n",
" (8*x1 + 2*x2 <= 17) & # Constraint 2\n",
" ((x2-1)**2 <= 2-x1) & # Nonlinear constraint 1\n",
" ((x2-1)**2 >= x1+0.5) # Nonlinear constraint 2\n",
" ).astype(int) \n",
" * objective_heatmap, # objective function,\n",
" extent=(x1.min(),x1.max(),x2.min(),x2.max()),origin=\"lower\", cmap=\"OrRd\", alpha = .8)\n",
"\n",
"\n",
"x1nl = -1/2 + (x - 1)**2\n",
"# Nonlinear constraint\n",
"nl_const = ax.plot(x1nl, x, label=r'$(x_2-1)^2 \\geq x_1 + 1/2$')\n",
"\n",
"ax.get_legend().remove()\n",
"ax.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
"fig.canvas.draw()\n",
"fig"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1 Var Declarations\n",
" x : Size=2, Index={1, 2}\n",
" Key : Lower : Value : Upper : Fixed : Stale : Domain\n",
" 1 : None : None : None : False : True : Integers\n",
" 2 : None : None : None : False : True : Integers\n",
"\n",
"1 Objective Declarations\n",
" obj : Size=1, Index=None, Active=True\n",
" Key : Active : Sense : Expression\n",
" None : True : maximize : 5.5*x[1] + 2.1*x[2]\n",
"\n",
"4 Constraint Declarations\n",
" Constraint1 : Size=1, Index=None, Active=True\n",
" Key : Lower : Body : Upper : Active\n",
" None : -Inf : x[2] - (x[1] + 2) : 0.0 : True\n",
" Constraint2 : Size=1, Index=None, Active=True\n",
" Key : Lower : Body : Upper : Active\n",
" None : -Inf : 8*x[1] + 2*x[2] : 17.0 : True\n",
" Constraint3 : Size=1, Index=None, Active=True\n",
" Key : Lower : Body : Upper : Active\n",
" None : -Inf : (x[2] - 1)**2 - (2 - x[1]) : 0.0 : True\n",
" Constraint4 : Size=1, Index=None, Active=True\n",
" Key : Lower : Body : Upper : Active\n",
" None : -Inf : 0.5 + x[1] - (x[2] - 1)**2 : 0.0 : True\n",
"\n",
"6 Declarations: x obj Constraint1 Constraint2 Constraint3 Constraint4\n"
]
}
],
"source": [
"# Define the integer model\n",
"model_ncinlp = pyo.ConcreteModel(name='Simple example non-convex INP, 47-779 QuIP')\n",
"#Define the variables\n",
"model_ncinlp.x = pyo.Var([1,2], domain=pyo.Integers)\n",
"# Define the objective function\n",
"model_ncinlp.obj = pyo.Objective(rule = _obj, sense=pyo.maximize)\n",
"# Define the constraints\n",
"model_ncinlp.Constraint1 = pyo.Constraint(rule = _constraint1)\n",
"\n",
"model_ncinlp.Constraint2 = pyo.Constraint(rule = _constraint2)\n",
"\n",
"model_ncinlp.Constraint3 = pyo.Constraint(expr = (model_ncinlp.x[2]-1)**2 <= 2 - model_ncinlp.x[1])\n",
"\n",
"model_ncinlp.Constraint4 = pyo.Constraint(expr = (model_ncinlp.x[2]-1)**2 >= 1/2 + model_ncinlp.x[1])\n",
"\n",
"\n",
"# Print the model\n",
"model_ncinlp.pprint()"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model 'Simple example non-convex INP, 47-779 QuIP'\n",
"\n",
" Variables:\n",
" x : Size=2, Index={1, 2}\n",
" Key : Lower : Value : Upper : Fixed : Stale : Domain\n",
" 1 : None : 0.0 : None : False : False : Integers\n",
" 2 : None : 2.0 : None : False : False : Integers\n",
"\n",
" Objectives:\n",
" obj : Size=1, Index=None, Active=True\n",
" Key : Active : Value\n",
" None : True : 4.2\n",
"\n",
" Constraints:\n",
" Constraint1 : Size=1\n",
" Key : Lower : Body : Upper\n",
" None : None : 0.0 : 0.0\n",
" Constraint2 : Size=1\n",
" Key : Lower : Body : Upper\n",
" None : None : 4.0 : 17.0\n",
" Constraint3 : Size=1\n",
" Key : Lower : Body : Upper\n",
" None : None : -1.0 : 0.0\n",
" Constraint4 : Size=1\n",
" Key : Lower : Body : Upper\n",
" None : None : -0.5 : 0.0\n"
]
}
],
"source": [
"# Trying to solve the problem with BONMIN we might obtain the optimal solution, but we have no guarantees\n",
"result_obj_ncinlp = opt_bonmin.solve(model_ncinlp, tee=False)\n",
"model_ncinlp.display()"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"# Define the solver COUENNE\n",
"if IN_COLAB:\n",
" opt_couenne = pyo.SolverFactory('couenne', executable='/content/solvers/couenne')\n",
"else:\n",
" opt_couenne = pyo.SolverFactory('couenne')"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model 'Simple example non-convex INP, 47-779 QuIP'\n",
"\n",
" Variables:\n",
" x : Size=2, Index={1, 2}\n",
" Key : Lower : Value : Upper : Fixed : Stale : Domain\n",
" 1 : None : 0.0 : None : False : False : Integers\n",
" 2 : None : 2.0 : None : False : False : Integers\n",
"\n",
" Objectives:\n",
" obj : Size=1, Index=None, Active=True\n",
" Key : Active : Value\n",
" None : True : 4.2\n",
"\n",
" Constraints:\n",
" Constraint1 : Size=1\n",
" Key : Lower : Body : Upper\n",
" None : None : 0.0 : 0.0\n",
" Constraint2 : Size=1\n",
" Key : Lower : Body : Upper\n",
" None : None : 4.0 : 17.0\n",
" Constraint3 : Size=1\n",
" Key : Lower : Body : Upper\n",
" None : None : -1.0 : 0.0\n",
" Constraint4 : Size=1\n",
" Key : Lower : Body : Upper\n",
" None : None : -0.5 : 0.0\n"
]
}
],
"source": [
"# Trying to solve the problem with global MINLP solver COUENNE\n",
"result_obj_ncinlp = opt_couenne.solve(model_ncinlp, tee=False)\n",
"model_ncinlp.display()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAuwAAAHdCAYAAABG7ixpAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8hTgPZAAAACXBIWXMAAA9hAAAPYQGoP6dpAADxGElEQVR4nOzdeVxV1drA8d/mMM8gs4CoICIKiCOOWOZsajnWdaq0TEtvo3ozTTPNtPC1rg3X1OzatUGt1DS1HHIo5xkVBUEFJyaZh7PfP5ATR0AGmY4+3z7nE2fvtdd+9lbhYZ1nr6WoqqoihBBCCCGEqJOMajsAIYQQQgghROkkYRdCCCGEEKIOk4RdCCGEEEKIOkwSdiGEEEIIIeowSdiFEEIIIYSowyRhF0IIIYQQog6ThF0IIYQQQog6TBJ2IYQQQggh6jBJ2IUQQgghhKjDJGEX4iEwZswYfHx8dO9jYmJQFIWFCxeWeeysWbNQFKUao6tZ4eHhhIeH13YYQgghRLlJwi4MwooVK1AUhYMHD+q2FSaSrq6uZGRkFDvGx8eHfv366W1TFIVJkybd81zh4eEoiqJ7OTo60qZNG7788ku0Wm254izpNXXq1Apc8YPr7ntkbGxM/fr1GTNmDFeuXKnt8IQQQog6x7i2AxDifl2/fp2lS5fy6quvVlmfnp6ezJs3D4AbN27w1Vdf8eyzz3Lu3Dnmz59f5vGzZ8+mYcOGetuaN29eZfFV1BdffFHmLxs1rfAeZWVlsX//flasWMEff/zByZMnMTc3r7bz/vrrr9XWtxBCCFEdJGEXBi8kJIQPPviAF198EQsLiyrp087Ojn/84x+6988//zz+/v58/PHHzJkzBxMTk3se37t3b1q3bl0lsVSFsuKtDUXv0XPPPYeTkxPvv/8+P/30E0OHDq2285qamlZb30IIIUR1kJIYYfDefvttrl27xtKlS6vtHJaWlrRv35709HRu3Lhx3/398ssvdO7cGSsrK2xsbOjbty+nTp3Sa3P8+HHGjBlDo0aNMDc3x83NjWeeeYZbt27ptbt9+zZTpkzBx8cHMzMzXFxceOyxxzh8+LCuzd017EV99NFHNGjQAAsLC7p27crJkyfLdQ1ff/01rVq1wsLCAkdHR4YPH05cXFzFbkQRnTt3BuDChQt62yMjIxk8eDCOjo6Ym5vTunVrfvrpp2LHHz9+nK5du2JhYYGnpyfvvvsuy5cvR1EUYmJidO1KqmG/fv06zz77LK6urpibmxMcHMzKlSv12hSt+//8889p3LgxZmZmtGnThgMHDlT6uoUQQoiyyAi7MHidO3fmkUceYcGCBUyYMKHKRtnvdvHiRTQaDfb29mW2TUlJ4ebNm3rbnJycAFi1ahWjR4+mZ8+evP/++2RkZLB06VI6derEkSNHdIn11q1buXjxImPHjsXNzY1Tp07x+eefc+rUKfbv3697EPSFF17g+++/Z9KkSTRr1oxbt27xxx9/cObMGUJDQ+8Z51dffcXt27eZOHEiWVlZLF68mEceeYQTJ07g6upa6nFz585lxowZDB06lOeee44bN26wZMkSunTpwpEjR8p1j+5WmFQ7ODjotp06dYqOHTtSv359pk6dipWVFd9++y0DBw7khx9+YNCgQQBcuXKFbt26oSgK06ZNw8rKiv/85z+YmZmVed7MzEzCw8OJiopi0qRJNGzYkO+++44xY8aQnJzM5MmT9dqvXr2a27dv8/zzz6MoCgsWLOCJJ57g4sWLdfKTDCGEEA8AVQgDsHz5chVQDxw4oNs2c+ZMFVBv3Lih7ty5UwXUDz/8ULe/QYMGat++ffX6AdSJEyfe81xdu3ZVmzZtqt64cUO9ceOGeubMGfXll19WAbV///7lirOkl6qq6u3bt1V7e3t13LhxesclJCSodnZ2etszMjKK9f/NN9+ogLpr1y7dNjs7uzKvafTo0WqDBg1076Ojo1VAtbCwUC9fvqzb/ueff6qA+s9//lO3rfA+F4qJiVE1Go06d+5cvXOcOHFCNTY2Lrb9boX3aNu2beqNGzfUuLg49fvvv1ednZ1VMzMzNS4uTtf20UcfVVu0aKFmZWXptmm1WrVDhw6qn5+fbttLL72kKoqiHjlyRLft1q1bqqOjowqo0dHRuu1du3ZVu3btqnsfERGhAurXX3+t25aTk6OGhYWp1tbWampqqt49q1evnpqYmKhr++OPP6qA+vPPP9/zuoUQQojKkpIY8UDo0qUL3bp1Y8GCBWRmZt53f5GRkTg7O+Ps7ExAQABLliyhb9++fPnll+U6/pNPPmHr1q16LygYNU9OTmbEiBHcvHlT99JoNLRr147ff/9d10fRTwqysrK4efMm7du3B9Ard7G3t+fPP//k6tWrFb7OgQMHUr9+fd37tm3b0q5dOzZt2lTqMWvXrkWr1TJ06FC9a3Bzc8PPz0/vGu6le/fuODs74+XlxeDBg7GysuKnn37C09MTgMTERH777TeGDh3K7du3dee5desWPXv25Pz587pZZTZv3kxYWBghISG6/h0dHXn66afLjGPTpk24ubkxYsQI3TYTExNefvll0tLS2Llzp177YcOG6X0KUFjKc/HixXJdtxBCCFFRUhIjHhizZs2ia9eufPrpp/zzn/+8r758fHz44osvUBQFc3Nz/Pz8cHFxKffxbdu2LfGh0/PnzwPwyCOPlHicra2t7uvExETeeecd/ve//3H9+nW9dikpKbqvFyxYwOjRo/Hy8qJVq1b06dOHUaNG0ahRozLj9PPzK7atSZMmfPvtt6Uec/78eVRVLfFYKP8Drp988glNmjQhJSWFL7/8kl27dumVsERFRaGqKjNmzGDGjBkl9nH9+nXq16/PpUuXCAsLK7bf19e3zDguXbqEn58fRkb64xcBAQG6/UV5e3vrvS9M3pOSkso8lxBCCFEZkrCLB0aXLl0IDw9nwYIFvPDCC/fVl5WVFd27d6+iyP5WOLXiqlWrcHNzK7bf2Pjvf5JDhw5l7969vP7664SEhGBtbY1Wq6VXr156UzQOHTqUzp07s27dOn799Vc++OAD3n//fdauXUvv3r2r5RoUReGXX35Bo9EU229tbV2ufor+UjNw4EA6derEU089xdmzZ3XXCvDaa6/Rs2fPEvsoT0Je1Uq6ZgBVVWs4EiGEEA8LSdjFA2XWrFmEh4fz2Wef1XYoJWrcuDEALi4u9/yFICkpie3bt/POO+/w9ttv67YXjtDfzd3dnRdffJEXX3yR69evExoayty5c8tM2Evq79y5c6XOKFN4Daqq0rBhQ5o0aXLP/stLo9Ewb948unXrxscff8zUqVN1nxCYmJiU+ctTgwYNiIqKKra9pG0lHXv8+HG0Wq3eKHtkZKRuvxBCCFGbpIZdPFC6du1KeHg477//PllZWbUdTjE9e/bE1taW9957j9zc3GL7C6eMLBzFvXvUNiIiQu99fn6+XnkMFPwy4OHhQXZ2dpnxrF+/Xm910b/++os///zznon+E088gUaj4Z133ikWn6qqxaadLK/w8HDatm1LREQEWVlZuLi46H75io+PL9a+6PSaPXv2ZN++fRw9elS3LTExkf/+979lnrdPnz4kJCSwZs0a3ba8vDyWLFmCtbU1Xbt2rdT1CCGEEFVFRtjFA2fmzJl069at1P0HDx7k3XffLbY9PDycTp06VWdo2NrasnTpUkaOHEloaCjDhw/H2dmZ2NhYNm7cSMeOHfn444+xtbWlS5cuLFiwgNzcXOrXr8+vv/5KdHS0Xn+3b9/G09OTwYMHExwcjLW1Ndu2bePAgQMsWrSozHh8fX3p1KkTEyZMIDs7m4iICOrVq8cbb7xR6jGNGzfm3XffZdq0acTExDBw4EBsbGyIjo5m3bp1jB8/ntdee61S9+f1119nyJAhrFixghdeeIFPPvmETp060aJFC8aNG0ejRo24du0a+/bt4/Llyxw7dgyAN954g6+//prHHnuMl156STeto7e3N4mJibopMEsyfvx4PvvsM8aMGcOhQ4fw8fHh+++/Z8+ePURERGBjY1OpaxFCCCGqiiTs4oETHh5O165di83uUejPP//kzz//LLZ9zpw51Z6wAzz11FN4eHgwf/58PvjgA7Kzs6lfvz6dO3dm7NixunarV6/mpZde4pNPPkFVVXr06MEvv/yCh4eHro2lpSUvvvgiv/76q272Fl9fX/79738zYcKEMmMZNWoURkZGREREcP36ddq2bcvHH3+Mu7v7PY+bOnUqTZo04aOPPuKdd94BwMvLix49evD4449X8s4UjN43btyYhQsXMm7cOJo1a8bBgwd55513WLFiBbdu3cLFxYWWLVvqlQp5eXnx+++/8/LLL/Pee+/h7OzMxIkTsbKy4uWXX8bc3LzUc1pYWLBjxw6mTp3KypUrSU1Nxd/fn+XLlzNmzJhKX4sQQghRVRRVnpQSQjygpkyZwmeffUZaWlqpD4sKIYQQdZ3UsAshHgh3z79/69YtVq1aRadOnSRZF0IIYdCkJEYI8UAICwsjPDycgIAArl27xrJly0hNTS11DnchhBDCUEjCLoR4IPTp04fvv/+ezz//HEVRCA0NZdmyZXTp0qW2QxNCCCHui9SwCyGEEEIIUYdJDbsQQgghhBB1mCTsQgghhBBC1GGSsAshhBBCCFGHScIuhBBCCCFEHSYJuxAPgB07dqAoSomv/fv3V/vxdcGBAweYNGkSgYGBWFlZ4e3tzdChQzl37ly5jk9LS2PmzJn06tULR0dHFEVhxYoV1Ru0EEIIUQ4yraMQD5CXX36ZNm3a6G3z9fWtseNr0/vvv8+ePXsYMmQIQUFBJCQk8PHHHxMaGsr+/ftp3rz5PY+/efMms2fPxtvbm+DgYHbs2FEzgQshhBBlkIRdiAdI586dGTx4cK0dX5XCw8Px8fEp9yj3K6+8wurVqzE1NdVtGzZsGC1atGD+/Pl8/fXX9zze3d2d+Ph43NzcOHjwYLFfXIQQQojaIiUxwqDMmjULRVE4d+4c//jHP7Czs8PZ2ZkZM2agqipxcXEMGDAAW1tb3NzcWLRokd7xly5d4sUXX8Tf3x8LCwvq1avHkCFDiImJ0bXJzMykadOmNG3aVG+5+8TERNzd3enQoQP5+fmlxnju3LlSy0vs7e2r+pYUc/v2bfLy8qrt+CtXrmBubs4zzzyjt33btm2YmJjwz3/+s9Lnvh8dOnTQS9YB/Pz8CAwM5MyZM2Ueb2ZmhpubW5nt6ur1CyGEeHBJwi4M0rBhw9BqtcyfP5927drx7rvvEhERwWOPPUb9+vV5//338fX15bXXXmPXrl264w4cOMDevXsZPnw4//d//8cLL7zA9u3bCQ8PJyMjAwALCwtWrlxJVFQU//rXv3THTpw4kZSUFFasWIFGoyk1NltbW1atWqX3KuynR48exdrn5uZy8+bNcr20Wu0978vYsWOxtbXF3Nycbt26cfDgwQrd1/IcX79+fZ577jm+/vprLl26BEBkZCRDhgyhd+/exX5Jqk2qqnLt2jWcnJyqrE9Dun4hhBAPCFUIAzJz5kwVUMePH6/blpeXp3p6eqqKoqjz58/XbU9KSlItLCzU0aNH67ZlZGQU63Pfvn0qoH711Vd626dNm6YaGRmpu3btUr/77jsVUCMiIioc84ULF1QPDw+1U6dOanp6erH9v//+uwqU6xUdHV3iOfbs2aM++eST6rJly9Qff/xRnTdvnlqvXj3V3NxcPXz4cJkxVvT4y5cvq2ZmZuqECRPUmzdvqo0bN1ZDQkLUtLS0Ct+f0nTt2lXvz64yVq1apQLqsmXLKnTcgQMHVEBdvnx5iftr4vqFEEKIQoqqqmot/J4gRKXMmjWLd955h7/++kuvxnjQoEGsX7+eGzdu6I2mtmzZEhsbG71R9kK5ubmkpqaiqip+fn6MGTOGjz76SLc/JyeH1q1bk5aWRlpaGs2aNeP3339HUZRyxxsXF0fnzp1xcXFh27Zt2NraFmuTlJTEoUOHytVfp06dMDc3L1fbqKgogoKC6NKlC5s3by53zOU9/qWXXuKLL74gJCSEuLg4/vrrL+rXr1/h80DBn0VKSoretgEDBuDt7c2SJUv0tjs6OmJkVPaHg5GRkbRr147AwEB27959z09F7lZYw758+XLGjBlTYpuqvH4hhBDinmr5FwYhKqRwhD0hIUFv++jRo1Vzc/Ni7bt27ao2b95c9z4jI0OdMWOGbkSeIqPXY8eOLXZ84Uirubm5evHixQrFGh8fr/r5+alBQUHqrVu3KnRsVRk+fLhqamqq5uXlVfnxMTExKqBaWFioBw8eLLb/3//+t9qyZUvV2NhYnTlz5j3PUxWfMhQVHx+vNmrUSPXy8lKvXLlS3svVKWuEXVXvff1ZWVnq2LFjVS8vL9XGxkZt166dunfv3grHIYQQQqiqqsosMcIglTRaWtoIqlrkQ6SXXnqJ5cuXM2XKFMLCwrCzs0NRFIYPH15iffiWLVsAyMrK4vz58zRs2LBc8d26dYvu3buj0WjYunUrjo6OpbbNyckhMTGxXP06OztXaKTYy8uLnJwc0tPTSxzdv5/j586dC0BeXl6J1+fu7s6sWbNYvXp1mecJDg5m69atetteffVV3NzceP311/W2l/VgaEpKCr179yY5OZndu3fj4eFR5vkr417Xn5eXh4+PD3/88Qeenp58++239O/fn5iYGKytraslHiGEEA+w2v6NQYiKKBxhv3Hjht720aNHq1ZWVsXad+3aVQ0MDNS9t7OzKzaSnpmZqWo0mmL10seOHVNNTU3VsWPHqi1btlS9vLzU5OTkMmNMTk5WQ0ND1UaNGqmXL18us31Vjy4X9eSTT6rm5uZqfn5+hY4r6/gFCxaoiqKoH3/8sWphYaE+++yzpfbx/PPPlznCXpLK1LBnZmaqnTt3Vi0tLe9rRLusEfaKXH8hd3f3Ej+JEEIIIcoiI+zioaLRaPRG3AGWLFlSbJrG3NxcxowZg4eHB4sXLyY6Opo2bdrwz3/+ky+//LLU/tPS0ujduzfXr19n9+7d5appLml0uTSljS7fuHEDZ2dnvW3Hjh3jp59+onfv3no13xkZGcTGxuLk5KSr96/I8evXr2fq1KnMmTOHiRMncv78ef7973/zr3/9q9yfQFSH/Px8hg0bxr59+/jxxx8JCwsrtW1J96C8KnP958+fJzEx0WAWoRJCCFG3SMIuHir9+vVj1apV2NnZ0axZM/bt28e2bduoV6+eXrt3332Xo0ePsn37dmxsbAgKCuLtt9/mrbfeYvDgwfTp06fE/keOHMm+ffuYMWMGf/zxB3/88YduX/PmzQkJCSl2jIODA927d7+v6xo2bBgWFhZ06NABFxcXTp8+zeeff46lpSXz58/Xa/vXX3/RrVs3Zs6cyaxZsyp0/KFDh3j66ad5+umndVNVvvHGG3z66afMnTuX//znP/d1Hffj1Vdf5aeffqJ///4kJiYWWyjpH//4h+7rku4BwMcff0xycjJXr14F4Oeff+by5ctAQTlVVFRUha8/MzOTf/zjH0ybNg07O7uqvmwhhBAPg9oe4heiIu63JCYpKUkdO3as6uTkpFpbW6s9e/ZUIyMj1QYNGujKLw4dOqQaGxurL730kl5feXl5aps2bVQPDw81KSmp2Lm0Wq1qbW1dajnLJ598cv83oBSLFy9W27Ztqzo6OqrGxsaqu7u7+o9//EM9f/58sbaFJThFy1TKc3xcXJzq7u6uduzYUc3KytLrc8KECaqJiUmJD+bWVElM165d71lOVFRJ90BVVbVBgwalHr979+4KX39OTo7at29f9amnnlK1Wm2Frl8IIYQoJNM6CiGq1QsvvICbm5veSPbDQKvV8tRTT5Gens66deswNpYPNIUQQlSO/AQRQlSLvLw88vLyyM/PJy8vj6ysLExMTCo0y40he/7554mPj2fLli2SrAshhLgvMsIuhKgWhYtcFXWvhYgeJJcuXcLHxwdzc3O9X1B++eUXOnfuXIuRCSGEMESSsAshhBBCCFGHlb2+dx2ydOlSgoKCsLW1xdbWlrCwMH755ZdS269YsQJFUfRe5V3WXQghhBBCiLrAoAorPT09mT9/Pn5+fqiqysqVKxkwYABHjhwhMDCwxGNsbW05e/as7r2iKDUVrhBCCCGEEPfNoBL2/v37672fO3cuS5cuZf/+/aUm7IqilLmUuRBCCCGEEHWVQSXsReXn5/Pdd9+Rnp5+zxUN09LSaNCgAVqtltDQUN57771Sk3uA7OxssrOzde+1Wi2JiYnUq1dPRueFEMIAqarK7du38fDw0Fu19376K5wBSQghKkOj0WBsbFzu3NLgEvYTJ04QFhZGVlYW1tbWrFu3jmbNmpXY1t/fny+//JKgoCBSUlJYuHAhHTp04NSpU3h6epZ4zLx584rNbCGEEMLwxcXFlfq9v7xycnKIj48nIyOjiqISQjysLC0tcXd3x9TUtMy2BjdLTE5ODrGxsaSkpPD999/zn//8h507d5aatBeVm5tLQEAAI0aMYM6cOSW2uXuEPSUlBW9vby6dP46drW2VXUd1uzrjXdJ+24nzK5NweHJAbYdTIaqqknI7HTsbK4P6VKNa4/52LMqVg6jdZ0KLwffd3e/nk3h1bRS5WpWeAY5MC3fF0c5a7ncNMNS4wXBjT0lNpYFfEMnJydjZ2VW6H61Wy/nz59FoNDg7O2NqampQ90EIUTeoqkpOTg43btwgPz8fPz+/Mj/9M7gRdlNTU3x9fQFo1aoVBw4cYPHixXz22WdlHmtiYkLLli2JiooqtY2ZmRlmZmbFttvZ2t7XN/qadtvUFDQabC0sDSpuKPiLjKLBztbwEshqi7tpZ7h5CG4dA7tn76urbWcTeX3TVfJNLOgfWI+IJ5qQnp4u97uGGGrcYNixw/1POpCTk4NWq8XLywtLS8sqikoI8TCysLDAxMSES5cukZOTU+YshgY1rWNJtFqt3oj4veTn53PixAnc3d2rOSohqph3+4L/x+6H+/hQbNvZRCasiSQ3X6VvYD0WP+mPscbwEi8halNV1MELIURFvpcY1Aj7tGnT6N27N97e3ty+fZvVq1ezY8cOtmzZAsCoUaOoX78+8+bNA2D27Nm0b98eX19fkpOT+eCDD7h06RLPPfdcbV6GEBVXvyVozCDtGiTFgGPDCndRWrJuYFVxQgghxEPHoBL269evM2rUKOLj47GzsyMoKIgtW7bw2GOPARAbG6v320pSUhLjxo0jISEBBwcHWrVqxd69e8tV7y5EnWJsXpC0x+4veFUwYZeRdSGEEMJwGVTCvmzZsnvu37Fjh977jz76iI8++qgaIxKiBnm3L0jWL+2DkBHlPkySdSGEEMKwSSGeEIaiEnXskqwLIUSBefPm0aZNG2xsbHBxcWHgwIF6K6ELUZdJwi6Eobi7jr0MkqwLIWpabm4uubm5NXa+8PBwVqxYUa62O3fuZOLEiezfv5+tW7eSm5tLjx49SE9Pr94ghagCkrALYSgK69ihYJT9HiRZF0Lc7ZtvvsHCwoL4+HjdtrFjx+oWF6ysq1evsmzZMp588kmcnJy4cOFCjZ6/vDZv3syYMWMIDAwkODiYFStWEBsby6FDh6r93ELcL0nYhTAkhWUxl/aV2kSSdSFqjqqqZOTk1cqrojM8DR8+nCZNmvDee+8BMHPmTLZt28Yvv/xSofU68vPz2bt3L2+99RahoaF4enoSERGBn58fGzZsoEmTJtV6/qpS+EuCo6NjjZ9biIoyqIdOhXjo3V3HftdCMJKsC1GzMnPzafb2llo59+nZPbE0Lf+PcUVRmDt3LoMHD8bNzY0lS5awe/du6tevT1xcHCNHjuT69esYGxszY8YMhgwZUqyP5cuX89prr5Gens6jjz7Kc889R9++fWnQoMF9nR9g0KBB7Nixg0cffZTvv/++/DeiErRaLVOmTKFjx440b968Ws8lRFWQEXYhDMk96tglWRdClKVfv340a9aM2bNns27dOgIDAwEwNjYmIiKC06dP8+uvvzJlypQSa7sdHBzw9PQkJyeHhIQE4uPjuXr1Klqt9r7ODzB58mS++uqrex7/3nvvYW1trXvt3r2bF154QW9bbGxsmXFMnDiRkydP8r///a9ccQtR22SEXQhDYmwOHiEQ9yf88Ak0GQidwtgWlSLJuhC1wMJEw+nZPWvt3BW1efNmIiMjyc/Px9XVVbfd3d1dtwq4m5sbTk5OJCYmYmVlpXf8wIEDGThwIFeuXGHTpk1s2rSJxYsXY2JiQs+ePenTpw9DhgzBzMysQueHggdI756e+W4vvPACQ4cO1b1/+umnefLJJ3niiSd02zw8PO7Zx6RJk9iwYQO7du3C09Pznm2FqCskYRfCkKz/GX48DKHAb6vhpWVsa9uLCY9MJFdVJFkXooYpilKhspTadPjwYYYOHcqyZctYsWIFM2bM4LvvvivW7tChQ+Tn5+Pl5VVqX/Xr12fcuHGMGzeOnJwcdu3axaZNm3j33Xdp06YN/v7+lT7/vTg6OurVnFtYWODi4oKvr2+Zx6qqyksvvcS6devYsWMHDRtWfMVoIWqLYXyXEUIUJOsjRoO3EYRagY+GbY3bMKHL8wXJun22JOtCiBLFxMTQt29fpk+fzogRI2jUqBFhYWEcPnyY0NBQXbvExERGjRrFF198UWI/N27c4NatW8W2e3p6Mn78eMaPH19iIlze81eniRMnsnr1an788UdsbGxISEgAwM7ODgsLixqJQYjKkhp2IQxBfj68OrXgQdPL+ZCngq0R8594hlyNCX0jd7P431Mwpnx1pEKIh0diYiK9evViwIABTJ06FYB27drRu3dvpk+frmuXnZ3NwIEDmTp1Kh06dCixr0WLFhEQEHDP18WLFyt1/uq2dOlSUlJSCA8P15UAubu7s2bNmhqLQYjKkhF2IQzBH/vgytWCr/Mh6ZYlDq6ZtDY5j//JaBb/vBBjVVvQrmun2o1VCFGnODo6EhkZWWz7xo0bdV+rqsqYMWN45JFHGDlyZKl9zZ8/n/nz51f5+SurrJr3oio6DaYQdYmMsAthCO58dAuwrXFbVjkUPOT25O0dfyfrd7UTQojy2rNnD2vWrGH9+vWEhIQQEhLCiRMnajSG7t27M2TIEDZt2oSnpyf79pW+3oQQDxsZYRfCELi5AQXJ+oRB02jFeV5mPa2Nz6Go2mLthBCiIjp16lTuqRmry7Zt22r1/ELUZTLCLoQh6BRWMBvMoGnkakxwPZ2Amqei2BqBo1HBAkqe9aFTWG1HKoQQQogqJgm7EAZgW1RKwdSNdx4wXfRTBMrl/IKdPnc+KFs4DzQVn5dZCCGEEHWbJOxC1HG6FUwLp2489N+CmvWYOwl7gDV8sxIG9q/dQIUQQghRLSRhF6IO0yXrhSuYvtwN47NHYcvPMGJKQaOQejCgX22GKYQQQohqJAm7EHVUsWS9cFEkjaZg6sZ/TAGNGaRdg6SY2g5XCCGEENVEEnYh6qBSk/WijM2hfsuCr2P313yQQgghhKgRkrALUceUK1kv5N2+4P+XZL5iIYQQ4kElCbsQdUiFknX4O2GP3Q+yip8QQgjxQJKEXYg6osLJOhSUxEgduxBCCPFAk4RdiDqgUsk6SB27EEII8RCQhF2IWlbpZL2Q1LELIYQQDzRJ2IWoRfedrIPUsQshyiU/P58ZM2bQsGFDLCwsaNy4MXPmzEGtI9835s2bR5s2bbCxscHFxYWBAwdy9uzZ2g5Lz65du+jfvz8eHh4oisL69euLtfHx8UFRlGKviRMn1nzA4oEhCbsQtaRKknWQOnYhRLm8//77LF26lI8//pgzZ87w/vvvs2DBApYsWVKt5w0PD2fFihVlttu5cycTJ05k//79bN26ldzcXHr06EF6enq1xne33NxccnNzS9yXnp5OcHAwn3zySanHHzhwgPj4eN1r69atAAwZMqRa4hUPB0nYhagFVZasg9SxCyHKZe/evQwYMIC+ffvi4+PD4MGD6dGjB3/99RcA33zzDRYWFsTHx+uOGTt2LEFBQaSkpFR7fJs3b2bMmDEEBgYSHBzMihUriI2N5dChQ7o21RXj1atXWbZsGU8++SROTk5cuHChxHa9e/fm3XffZdCgQaX25ezsjJubm+61YcMGGjduTNeuXSsdnxCSsAtRw6o0WS8kdexC1A5VhZz02nlVsJSlQ4cObN++nXPnzgFw7Ngx/vjjD3r37g3A8OHDadKkCe+99x4AM2fOZNu2bfzyyy/Y2dlV7X0rh8IE3NHRUbetqmLMz89n7969vPXWW4SGhuLp6UlERAR+fn5s2LCBJk2aVMk15OTk8PXXX/PMM8+gKPf5fV481IxrOwAhHibVkqxD8Tp2+cEgRM3IzYD3PGrn3NOvgqlVuZtPnTqV1NRUmjZtikajIT8/n7lz5/L0008DoCgKc+fOZfDgwbi5ubFkyRJ2795N/fr1dX0MGjSIHTt28Oijj/L9999X+SUV0mq1TJkyhY4dO9K8eXPd9nvFGBcXx8iRI7l+/TrGxsbMmDGjxDKU5cuX89prr5Gens6jjz7Kc889R9++fWnQoEGVX8f69etJTk5mzJgxVd63eLjICLsQNaTaknWQOnYhRJm+/fZb/vvf/7J69WoOHz7MypUrWbhwIStXrtS16devH82aNWP27NmsW7eOwMBAvT4mT57MV199dc/zvPfee1hbW+teu3fv5oUXXtDbFhsbe88+Jk6cyMmTJ/nf//5XbF9pMRobGxMREcHp06f59ddfmTJlSon17w4ODnh6epKTk0NCQgLx8fFcvXoVrVZ7z5gqY9myZfTu3RsPj1r6pU48MGSEXYgaUK3JOvxdxx67v+Dl2LDq+hZClM7EsmCku7bOXQGvv/46U6dOZfjw4QC0aNGCS5cuMW/ePEaPHg0U1JFHRkaSn5+Pq6trsT7Cw8PZsWPHPc/zwgsvMHToUN37p59+mieffJInnnhCt+1eCeykSZPYsGEDu3btwtPTs9j+0mJ0d3fH3d0dADc3N5ycnEhMTMTKSv9TiIEDBzJw4ECuXLnCpk2b2LRpE4sXL8bExISePXvSp08fhgwZgpmZ2T2vsyyXLl1i27ZtrF279r76EQJkhF2IalftyXohqWMXouYpSkFZSm28Klj6lpGRgZGR/o99jUajG1k+fPgwQ4cOZdmyZTz66KPMmDGjUrfE0dERX19f3cvCwgIXFxe9bcbGxccLVVVl0qRJrFu3jt9++42GDYsPPJQ3xkOHDpGfn4+Xl1epcdavX59x48axbt06bt68yZo1a3Bzc+Pdd98lJiamUtde1PLly3FxcaFv37733ZcQMsIuRDWqsWQdpI5dCHFP/fv3Z+7cuXh7exMYGMiRI0f48MMPeeaZZ4iJiaFv375Mnz6dESNG0KhRI8LCwjh8+DChoaE1Et/EiRNZvXo1P/74IzY2NiQkJABgZ2eHhYVFuWNMTExk1KhRfPHFFyWe58aNG9y6davYdk9PT8aPH8/48eNL/GUBIC0tjaioKN376Ohojh49iqOjI97e3rrtWq2W5cuXM3r06BJ/ORGiouRvkRDVpEaTdShexy5lMUKIIpYsWcKMGTN48cUXuX79Oh4eHjz//PO8/PLLdOnShQEDBjB16lQA2rVrR+/evZk+fTqbN2+ukfiWLl0KFJTdFLV8+XIef/xxevXqVWaM2dnZDBw4kKlTp9KhQ4cSz7No0SLef//9e8Zy5swZmjZtWmz7wYMH6datm+79K6+8AsDo0aP15prftm0bsbGxPPPMM/e+aCHKSRJ2IapATl4e/97zF9dTb+Nia0NTZz9e+v58zSXrIHXsQoh7srGxISIigoiIiGL7IiMji23buHFjlZy3rJr3QmWtuFpWjKqqMmbMGB555BFGjhxZaj/z589n/vz55YrpbuHh4eVaGbZHjx51ZgVZ8WAwqBr2pUuXEhQUhK2tLba2toSFhfHLL7/c85jvvvuOpk2bYm5uTosWLdi0aVMNRSseFm/8sg3LzTt51cSCbx2c+FeSCc9/e7Zmk/VCUscuhKhG3bt3Z8iQIWzatAlPT0/27as732v27NnDmjVrWL9+PSEhIYSEhHDixInaDkuIKmFQI+yenp7Mnz8fPz8/VFVl5cqVDBgwgCNHjhSbegoKVnUbMWIE8+bNo1+/fqxevZqBAwdy+PBhvXldhaisN37Zxgd29YCC3361N/JxOpaLoiqku2mwsL6Msab4x6rVRurYhRDVaNu2bbUdQqk6depULVMzClEXGNQIe//+/enTpw9+fn40adKEuXPnYm1tzf79JS/HvnjxYnr16sXrr79OQEAAc+bMITQ0lI8//riGIxcPopy8PD7Mv5MQKwrm1/PQHstFUSHdTcPN5iZEaBVy8vJqLiiZj12IYjLT0mo7BCGEuC8GNcJeVH5+Pt999x3p6emEhYWV2Gbfvn26B0IK9ezZk/Xr15fab3Z2NtnZ2br3qampQEFtnCHWo6kYXtyF97qux/3vPX+hOjpiBJhfy8XpaA6okOGqIbGFKUZGCqqjI//e8xeTu5T8d7TKaczAIwQl7k/US/vAwafMQwzlft9N4q55hhJ7Vno6lyPPEHem4HU5+mJthySEEPfF4BL2EydOEBYWRlZWFtbW1qxbt45mzZqV2DYhIaHYwg+urq66qaJKMm/ePN55551i21Nup4Oiub/ga1Bubi4AmVnZpKQa1uiSqqqkpWcCBctQ11XXU2/T0MEM7Y18tMdyQQVLFwXjQA22qKBVde1q8s/A3DUU87g/yb3wBxmN+pfZ3lDu990k7ppXV2PPycwkIeo8V8+fI/78WRKvXCkoCRNCiAeEwSXs/v7+HD16lJSUFL7//ntGjx7Nzp07S03aK2ratGl6o/Kpqal4eXlhZ2OFna11lZyjJqSZmJAFWJibGVTc8PdMAXa21nUqKbibi60N8Te1d2rWC0bWjQM1XDLWoC0St4utTc3+Gfh1gYNLMYk/iJ1N2YurGMr9vpvEXfPqSuw5mZlcOXeOuMjTxJ05w/WYmGKj/o7uHngFBOAVEICNR33eWhdUS9EKIcT9M7iE3dTUFF9fXwBatWrFgQMHWLx4MZ999lmxtm5ubly7dk1v27Vr13Bzcyu1fzMzsxKXI1YUxeB+uAIoGGjcd+53XY69qbMfTr+f1T1gmtjCFFtUtIpSkLBrtWiSknixV9eavQ7PUNCYoaRdg+RL5Zre0RDud0kk7ppXG7HnZmdx5dx54s6cJu7MaRKio1HverjQwdUNr2YBeAU0w6tpAFb29rp9KSkpNRarEEJUB4NL2O+m1Wr1as6LCgsLY/v27UyZMkW3bevWraXWvAtRXtvOJvLS9+d1yfrN5iYYGSm6Mhi0WlAUXtGomNb0KncyH7swcLk5OVw9f05Xg55w8QLa/Hy9NnYuLgUj6E0LknQbR8dailYIIaqfQSXs06ZNo3fv3nh7e3P79m1Wr17Njh072LJlCwCjRo2ifv36zJs3D4DJkyfTtWtXFi1aRN++ffnf//7HwYMH+fzzz2vzMoSBu3sFUwvry0SkFDxgWkiTlMQrGpUFvbvXTpDe7QuS9Uv7IGRE7cQgRDnl5+URfyGK2FOniDtzhvgLUeTfNbuSTb16eAc0u1Pm0gxbJ6dailYIIWqeQSXs169fZ9SoUcTHx2NnZ0dQUBBbtmzhscceAyA2NhYjo79nquzQoQOrV6/mrbfeYvr06fj5+bF+/XqZg11U2t3JesGiSE15766VTl/s1bXmR9aLkvnYRR2marXciIsj9vQpLp06yZWzZ8m965NSaweHgvKWgGZ4NwvA1snZIEuIhBCiKhhUwr5s2bJ77i9p+eMhQ4YwZMiQaopIPExKTtYLEghTY2MmdwkjJTWt1h/IA4rPxy5lMaIWqapK8vVrxJ46RezpglH0zNu39dpY2Nji3awZ3s0KknR7V9fa/3ckhBB1hEEl7ELUlnsl63WS1LGLWpaenEzs6dPEni5I0lNv3tTbb2Jujpd/U7wDA/FuFoiTpyeKkUGt5SeEEDVGEnYhymBwyXohqWMXNSg7M4PLkZFcOnWS2FOnuXXlst5+I40GD18/XYLu1qgRmtosGxO14pNPPuGDDz4gISGB4OBglixZQtu2bWs7LCHqPPluKcQ9GGyyDlLHLqpVXm4uV8+fLxhBP3WKhOiL+lMtKgou3t54NwvEOzAQT39/TMzMay9gUSUyMjKwtLSs1LFr1qzhlVde4dNPP6Vdu3ZERETQs2dPzp49i4uLSxVHKsSDRRJ2IUph0Mk6SB27qFKqVsu1mBjOHj7MjQtRXDl/jrycHL029q6uNAhsjnezQLwCArCwsamlaEVJvvnmG5555hkuXryIu7s7AGPHjuXQoUPs3r0bOzu7MvuYPXs2P/zwA3369KFPnz6Eh4eXuHZJST788EPGjRvH2LFjAfj000/ZuHEjX375JVOnTq38hQnxEJCEXYgSGHyyDlLHLu5b6q1bXDp5kksnT3Dp1Emy0tL09lvZ2elKXLybBT6UUy2qqkpmXmatnNvC2KJCD+YOHz6c+fPn895777FkyRJmzpzJtm3b2L9/f7mSdYA333yT4OBgNm7cyNNPP01mZiaPPvqoLoH39vYu8bicnBwOHTrEtGnTdNuMjIzo3r07+/btK/c1CPGwkoRdiLs8EMl6IaljFxWQk5VF3JkzXDp1gksnTpIYf1Vvv6m5OW5+TWgUFIRP8xY4eng89DO5ZOZl0m51u1o5959P/YmlSfnLUxRFYe7cuQwePBg3NzeWLFnC7t27qV+/PnFxcYwcOZLr169jbGzMjBkzSpxhzcHBgREjRjBixAi0Wi379+9n48aNLF26lAkTJhAYGMivv/6Kh4eH3nE3b94kPz8fV1dXve2urq5ERkZW7gYI8RCRhF2IIh6oZB2kjl3ck1ar5XpMNDF3RtGvnj+vt6Kooii4NfalQfPm+DRvgWvDhqRlZNWNqUtFpfTr149mzZoxe/Zsfv31VwIDAwEwNjYmIiKCkJAQEhISaNWqFX369MHKyqrUvm7fvs3Vq1eJj4/nxo0bWFhY0KBBA0xMTGrqcoR4aEjCLsQdD1yyDlLHLopJvXmTmJMnuHTyBLGnTpOVrl/mYufsjE+LIBoENserWTPMiyRsqqrWdLh1noWxBX8+9WetnbuiNm/eTGRkZLHRbnd3d11du5ubG05OTiQmJhZL2KOjo/n222/ZtGkTe/fupUGDBvTu3Ztly5bRrVs3zM1LfrDYyckJjUbDtWvX9LZfu3YNNze3Cl+HEA8bSdiF4AFN1kHq2AXZmRkFZS53RtGTEhL09ptaWODdLBCfFi1oENgc+7tKFsS9KYpSobKU2nT48GGGDh3KsmXLWLFiBTNmzOC7774r1u7QoUPk5+fj5eVVbN+KFSvYs2cPAwYM4LPPPqNp06blOrepqSmtWrVi+/btDBw4ECj4hGf79u1MmjTpvq5LiIeBJOzioffAJuuFpI79oaLVarkWfZGYEwUPisZHRemXuRgZ4d64MQ2at8CneQvcGjXCSKOpxYhFTYiJiaFv375Mnz6dESNG0KhRI8LCwjh8+DChoaG6domJiYwaNYovvviixH4mTZrEiBF/fx8pqf68UaNGmJqaFtv+yiuvMHr0aFq3bk3btm2JiIggPT1dN2uMEKJ0krCLh9oDn6yD1LE/BNKSkog5cZzo48eJPXWSrPR0vf2F0y02aNEC74BmmFVyHm1hmBITE+nVqxcDBgzQTZ/Yrl07evfuzfTp09m8eTMA2dnZDBw4kKlTp9KhQ4cS+1q0aBHvv//+Pc935syZEkfehw0bxo0bN3j77bdJSEggJCSEzZs3F3sQVQhRnCTs4qH1UCTrIHXsD6D8vDyunj9H9PHjxJw4zo3YWL39ZpaWeAcGFiTpzVtgL4vSPNQcHR1LHAnfuHGj7mtVVRkzZgyPPPIII0eOLLWv+fPnM3/+/ErHMmnSJCmBEaISJGEXD6WHJlkHqWN/QKTevEn08WPEnDhO7KlT5GRl/b1TUXBr2BCfoGAatgiSMhdRYXv27GHNmjUEBQWxfv16AFatWkWLFi1qNzAhBCAJu3gIPVTJeiGpYzc4eTk5XD57lpjjx4g+frzYnOgWNrY0DAoqmNGleXMsbW1rKVLxIOjUqRNarba2wxBClEISdvFQeSiTdZA6dgOgqirJ164VlLkcP0Zc5BnycnJ0+xVFwd3Xj4bBBaPoLg0aoBgZ1WLEQgghaook7OKh8dAm6yB17HVUbnYWsafP6EpdUq5f19tv7eCAT1AQDVsE4x0YqDcnuhBCiIeHJOziofBQJ+sgdex1SFJCAqf//JP4s2e4cvYs+Xl5un1GGg31m/gXlLoEBePk6SkrigohhJCEXTz4HvpkvZDUsdeK/Lw8LkdGcvHYUaKPHiXpmv7CRbZOzncS9CC8A5phalHx1SuFEEI82CRhFw80SdaLkDr2GpOenMzFY8eIPnaUSydP6M3oYqTR4NrYlyatWtEwOARHd3cZRRdCCHFPkrCLB5Yk63eROvZqo2q1JERH60bRr8VE6+23tLOjYVAwjUJC8A5sTlZuPna21pKoCyGEKBdJ2MUDSZL1Ekgde5XKzsgg5uQJoo8eJfr4MTJSU/X2uzZsSKPgEBqFtMTVx0c3o4uqqmTlptVGyEIIIQyUJOzigSPJ+j1IHXulqapKYnw80ceOcvHoEa6cO4c2P1+339TcnAYtWtAoOISGQcFY2dvXXrBCCCEeKJKwiweKJOtlkDr2CsnPy+Pq+XNcOHyYC0cOk3zXtIsO7u53RtFDqN/EH42xfEsVQghR9eSni3hgSLJeDlLHXqbsjAyijx/nwpHDRB87SnZGhm6fxtgYz6YBNAoJoVFwCPaurrUYqRBCiIeFJOzigSDJejlJHXuJUm7c4MKRI1w4cpjLkWf0Sl0sbGxoFBJC45ahNGjeAlNz81qMVAjD9sknn/DBBx+QkJBAcHAwS5YsoW3btrUdlhB1niTswuBJsl5BUseOqtVyLSb6TqnLEW7Exertd3T3oHFoKI1bhuLu64vRnQdGhXjYZWRkYGlpWalj16xZwyuvvMKnn35Ku3btiIiIoGfPnpw9exYXF5cqjlSIB4sk7MKgSbJeCXfXsT8kcnNyiDt9igtHCpL09ORk3T5FUajfxJ/GoaE0CmmJo7t77QUqRDX55ptveOaZZ7h48SLud/6Ojx07lkOHDrF7927s7OzK7GP27Nn88MMP9OnThz59+hAeHo6ZmVm5zv/hhx8ybtw4xo4dC8Cnn37Kxo0b+fLLL5k6dWrlL0yIh4Ak7MJgSbJeSXfXsTv41HZE1SYjNYWLR49y4chhYk6cJC8nW7fPxNychi2CaBwaSsOgYCxsbGoxUmGoVFVFzcyslXMrFhYVmst/+PDhzJ8/n/fee48lS5Ywc+ZMtm3bxv79+8uVrAO8+eabBAcHs3HjRp5++mkyMzN59NFHdQm8t7d3icfl5ORw6NAhpk2bpttmZGRE9+7d2bdvX7mvQYiHlSTswiBJsn4f7q5jf8AS9uTr14k6dJDzBw9yNeq83qcI1o6ONG4Zim/LUDwDAjA2ManFSMWDQM3M5Gxoq1o5t//hQygVKE9RFIW5c+cyePBg3NzcWLJkCbt376Z+/foADBo0iB07dvDoo4/y/fffl9iHg4MDI0aMYMSIEWi1Wvbv38/GjRtZunQpEyZMIDAwkF9//RUPDw+9427evEl+fj6udz2o7erqSmRkZAWvXIiHjyTswuBIsl4FitaxBw+v7Wjui6qq3IyL4/yhg0QdOsiNWP16dBcfHxq3LKhHd2nQQFYXFQ+1fv360axZM2bPns2vv/5KYGCgbt/kyZN55plnWLlyZbn6un37NlevXiU+Pp4bN25gYWFBgwYNMJFfhIWocpKwl1NOlhbK94mhqEaSrFcRA69jV7Varpw/z6l9+4g7cZyUG3/Pj64YGeHp3xTfVq3xbdUK23r1ajFS8aBTLCzwP3yo1s5dUZs3byYyMrLE0e7w8HB27Nhxz+Ojo6P59ttv2bRpE3v37qVBgwb07t2bZcuW0a1bN8xLmUXJyckJjUbDtWvX9LZfu3YNNze3Cl+HEA8bSdjLadWcUzRp4UajIHt8mtthaSMjCDVNkvUqdHcdu7FzbUdUpvy8PGJPnyLq0EGiDh8mIyVFt09jYkKD5s3xa9WaRi1DsZR6dFFDFEWpUFlKbTp8+DBDhw5l2bJlrFixghkzZvDdd99VqI8VK1awZ88eBgwYwGeffUbTpk3LdZypqSmtWrVi+/btDBw4EACtVsv27duZNGlSRS9FiIeOJOzlpM1XuXQ6lUunU1EUcGtkTaMWdjQKsse2XvmekBeVJ8l6Fbu7jr1R/9qOqEQ5WVlEHz9G1MGDXDx2lJwiD/eZWljgFdicgPbtaRgULPOjC3EPMTEx9O3bl+nTpzNixAgaNWpEWFgYhw8fJjQ0tNz9TJo0iREj/p4OtqT680aNGmFqalps+yuvvMLo0aNp3bo1bdu2JSIigvT0dN2sMUKI0knCXk6D/9mEmzFaLh5P4UZcBvEX0oi/kMae9Vdwqm9BoyB7GgXZ4+huLjWyVUyS9WpSWMdexxL2zNu3uXDkMOcPHeTSyZPk5+bq9lnZ2dE4tBV+rVrjGRBAWkYWdrbW8m9OiHtITEykV69eDBgwQDd9Yrt27ejduzfTp09n8+bN5e5r0aJFvP/++/dsc+bMmRJH3ocNG8aNGzd4++23SUhIICQkhM2bNxcrzRFCFCcJezk5uJrj08SO1j3cSU3MJvp4ChdPJBN/IY2bVzK5eSWTv36Jx8HVjMbBDjQOsaeeR8Wm3BLFSbJejepQHXtGaipRhw5x7sBfxJ4+harV6vbZu7gU1KO3bo1HY1+UO4sYqQZYey9EbXB0dCxxJHzjxo0V7mv+/PnMnz+/0rFMmjRJSmCEqASDStjnzZvH2rVriYyMxMLCgg4dOvD+++/j7+9f6jErVqwo9nGbmZkZWVlZlY7D1tGM4HAXgsNdyEzLJfpkCtHHk4mNvE3StWwO/prAwV8TsHM2wzfEnsYhDjjVl+S9oradTeTFb89Ksl5d7tSxK2nXMEqJBbvAso+pQhmpKZw/eJBzf/1FXOQZvSTd2csb39at8WvVGicvL/m3I0QN6N69O8eOHSM9PR1PT0++++47wsLCajssIQQGlrDv3LmTiRMn0qZNG/Ly8pg+fTo9evTg9OnTWFlZlXqcra0tZ8+e1b2vyh/+FtYmNGvvRLP2TmRn5hNzKoULR5OIPZNKyo1sDm29xqGt17B1MsM32J7GIfY4e1lKAlKGnRdSee3nS+RqJVmvNkXq2I2vHgDv6k/Y05OTOX/wAOcO/MXlyEi9UXIXHx+atGmLX+s2stKoELVg27ZttR2CEKIUBpWw311nt2LFClxcXDh06BBdunQp9ThFUWpk2igzCw3+rR3xb+1ITlY+l06nEHUkmUtnUki9mc3h7dc4vP0aNo6mNA6xxzfEARdvSd7vtu1sIq/+fIk8Sdar3506duMrB4Ax1XKKtKQkzh04wPkDf3H53Fm98hvXhg1p0rYdTVq3wV7qWIUQQogSGVTCfreUO9O6OTo63rNdWloaDRo0QKvVEhoaynvvvae3WERR2dnZZGf/vXx5amoqcGf56QrUzJqYGeHb0gHflg7kZudz6XQqF44lc+l0KrcTczj623WO/nYdawcTGgfb0zjYAdcGlihGVZuYqlQs7tq27WwiL645q0vWI55ogsbIMOqVC/+OGEKsOl7tUADjqwcKSlLu1Iffr9u3bt0ZST/A1fPn9Pa5NW6sG0m3c/57OsmK3jeDvN8YbtxguLEbWrxCCHE3g03YtVotU6ZMoWPHjjRv3rzUdv7+/nz55ZcEBQWRkpLCwoUL6dChA6dOncLT07NY+3nz5vHOO+8U255yOx0UTaXjdW5sgnNjZ1r3q8fV8+nEnk7jytl00pJyObbjBsd23MDS1hivZtY0aG6Nk9f9zTaTe2dmjcysbFJS0yrdT03aeSFVN7L+SCNrZnV3Jz09vbbDKjdVVUlLL5h20GA+NbFpgp3GFKP066TEnUZ18Kl0V+lJSUQfOczFI4e4EROtt8+lYSMatgzFJ7gl1kV+wb6fv5sGeb8x3LjBcGNPuW0430eEEKIkBpuwT5w4kZMnT/LHH3/cs11YWJjeQzMdOnQgICCAzz77jDlz5hRrP23aNF555RXd+9TUVLy8vLCzscLO1rpKYq/nZEuLMMjL0RIbWTDyHnMyhYzUPM7uT+bs/mRsHEzxbWmPb2jlHlhNMzEhC7AwN6uyuKvTtrOJvFakDGZWd3fq2dsYVFJQOIpnWNMMWoNHS4j7E5vE4ygNSv/ltyQZqSmcO3CAs/v3c+Xc38+JoCjU92tCk7Zt8W3VGpsyPgWrDMO834YbNxhw7Gp+bUcghBD3xSAT9kmTJrFhwwZ27dpV4ij5vZiYmNCyZUuioqJK3G9mZoaZWfGFkBRFqfIfUCZmmoIpIIMdyMvVEnc2lagjyUSfSOZ2Ug5HfrvOkd+uY+9ihm9LB/xCHXB0q9hS1ApVH3dV080GU6QMJj09vVrueXUrjNmQ4la920Pcnyhxf6KEPl1m+6z0dM4fPMjZP/cRe+qUXrlBfX9//Nu1x691a6ztHaozbMAw7zcYbtxgmLEbUqxCCFESg0rYVVXlpZdeYt26dezYsYOGDRtWuI/8/HxOnDhBnz59qiHCyjM2MaJhc3saNrcnL0fLpdMpnD+SRMypFJKvZ3NwSwIHtyRQz8MCv9CC2ng7J8NfYbWkedY1VVNGLcrLuz3sWfz3fOwlJDc5WVlcOHyYyD/3EXP8ONr8v0cs3Ro1wr9de5q0bYdtvXo1GbkQQgjxUDCohH3ixImsXr2aH3/8ERsbGxISEgCws7PDwqJg5HnUqFHUr1+fefPmATB79mzat2+Pr68vycnJfPDBB1y6dInnnnuu1q6jLMamRjQOcaBxiAM5WflEn0wh6nAisZG3uXU1k1tXM9m/4SouDSzxu/Ngq7V98WWg67rSFkWSB8RqWP2WqBpTlLRrkBQDjgW/COfm5BBz7BiRf+7j4tGj5OXk6A5x8vKiabv2+LdrL7O7CCGEENXMoBL2pUuXAhAeHq63ffny5YwZMwaA2NhYjIrMdJGUlMS4ceNISEjAwcGBVq1asXfvXpo1a1ZTYd8XU/O/p4rMSs/j4vFkzh9O4sr521y/lMH1Sxns+fEKHo2s8QstWGHVwtqktsMuk6xgWocYm5PvGoTx1YPkR+/lUlwKZ/fvJ+rQQXKKLDDm4OqGf/uCJN2pgqVoQgghhKg8g0rYyzPyumPHDr33H330ER999FE1RVSzzK2MaRbmRLMwJzJSc7lwLJnzhxOJv5jO1QtpXL2Qxq4f4vDyt8VJ64WNUd0cdZdkvW5RVZU442ZciE/i7NLNZOX8ottnU68e/u3a07R9e1wa+EgtsBBCCFELDCphF3+ztDWhRWdnWnR25nZSDlFHkog6ksT12Axiz6QSS1s0HYPxisqh+ZkUvJrYYlQHkmJJ1uuOW1evErl3D2f27SXlxg3AA1CxtLPDv207/Nu3x6OxL0oVzc0uhHgw+fj4MGXKFKZMmWLQ51EUhXXr1jFw4MD76qem7od4uEjC/gCwcTCl5SOutHzEleTrWZw7lMjpzVGka6yJuWlGzKcXsLA2xq+VA01aOdba6qqSrNe+9ORkIvfv58zePVwrMle6iZkZfhaXaWabgNeUtRg5Na7FKIUQddGKFSuYMmUKycnJetsPHDiAlZVV7QRVi2rzfuzYsYNu3bqRlJSEvb19sf2zZs3SrSmj0Wjw9PRk0KBBzJkzB2vruj/VsyhOEvYHjL2LOW17e+C+7ROu/HWR1N7jiUurR2ZaHsd33uD4zhvYu5jRpLUjTVo51thMM5Ks156crCyiDh3k9J49xJ46qSstM9Jo8GkRRNOwMJx9/am3ZQJKXCRc/gskYReieuXnw+7dEB8P7u7QuTNoKr84X21yLrJisag79yMwMJBt27aRl5fHnj17eOaZZ8jIyOCzzz6r7dBEJchn3Q8oRQG71BhaN7zFmDkt6Du+MX6hDhibKCRfz+avTfF8PecUP3x0lhO7b5CZlldtsUiyXvPy8/K4eOwoG//9CUsnTeSXzz7l0skTqKqKe2NfHhk1mucXL2HQK6/StH0YxqamBdM7AlzaV7vBC/GgW7sWfHygWzd46qmC//v4FGyvJtnZ2bz88su4uLhgbm5Op06dOHDggG7/jh07UBSFjRs3EhQUhLm5Oe3bt+fkyZO6/WPHjiUlJUU3D/+sWbOAghKQiIgIXV+KovDZZ5/Rr18/LC0tCQgIYN++fURFRREeHo6VlRUdOnTgwoULumMuXLjAgAEDcHV1xdramjZt2rBt27YKXeOOHTto27YtVlZW2Nvb07FjRy5duqTbv3TpUho3boypqSn+/v6sWrXqnn0piqI3en706FEURSEmJqZC9yM2NpYBAwZgbW2Nra0tQ4cO5dq1a7r9s2bNIiQkhFWrVuHj44OdnR3Dhw/n9u3bFbr+uxkbG+Pm5oanpyfDhg3j6aef5qeffrqvPkXtkYT9IaDRKPgE2tFjdEPGvhvEo083wMvfBkWBhJh0dn0fx4oZx9n4eRTnjySRl6utsnNLsl5zVFUl4eJFflv1FZ9Nfpl1ixYSuX8feTnZOLi60eGJJ3nmg4U8NXMWLbs/hqWtrX4HhQl74XzsQoiqt3YtDB4Mly/rb79ypWB7NSXtb7zxBj/88AMrV67k8OHD+Pr60rNnTxITE/Xavf766yxatIgDBw7g7OxM//79yc3NpUOHDkRERGBra0t8fDzx8fG89tprpZ5vzpw5jBo1iqNHj9K0aVOeeuopnn/+eaZNm8bBgwdRVZVJkybp2qelpdGnTx+2b9/OkSNH6NWrF/379yc2NrZc15eXl8fAgQPp2rUrx48fZ9++fYwfP15X/rlu3TomT57Mq6++ysmTJ3n++ecZO3Ysv//+eyXuJuW+H1qtlgEDBpCYmMjOnTvZunUrFy9eZNiwYXrtLly4wPr169mwYQMbNmxg586dzJ8/v1KxlcbCwoKcItPzCsMiJTEPGVNzDU3b1qNp23qkp+Ry/nAi5w4mcuNyJjGnUok5lYqZhQa/UAeatqt3X/XukqzXjLTkJM7s2cOpP/7g1pW/kwALG1uatm9PQIeOuDVqVPafY/2WoDGDu+ZjF0JUkfx8mDy55F+ICxctmzIFBgyo0vKY9PR0li5dyooVK+jduzcAX3zxBVu3bmXZsmW8/vrrurYzZ87kscceA2DlypV4enqybt06hg4dip2dHYqi4ObmVuY5x44dy9ChQwF48803CQsLY8aMGfTs2ROAyZMnM3bsWF374OBggoODde/nzJnDunXr+Omnn/QS+9KkpqaSkpJCv379aNy4oKQvICBAt3/hwoWMGTOGF198EYBXXnmF/fv3s3DhQrp161Zm/3czNTUt1/3Yvn07J06cIDo6Gi8vLwC++uorAgMDOXDgAG3atAEKEvsVK1ZgY2MDwMiRI9m+fTtz586tcGwlOXToEKtXr+aRRx6pkv5EzZOE/SFmZWdCSDdXQrq5kpiQybmDiZw9kEhaci4n99zk5J6bOLia0bRtPZq0dqzQ4kySrFevvJwcLhw9wqndu4g5flxXl25sYkLjVq0I7NgZ78BANMYV+CdubF6QtMfuL3hJwi5E1dq9u/jIelGqCnFxBe3uWm/kfly4cIHc3Fw6duyo22ZiYkLbtm05c+aMXtuwsDDd146Ojvj7+xdrUx5BQUG6r13vLK7WokULvW1ZWVmkpqZia2tLWloas2bNYuPGjcTHx5OXl0dmZma5R9gdHR0ZM2YMPXv25LHHHqN79+4MHToUd3d3AM6cOcP48eP1junYsSOLFy+u8LVVxJkzZ/Dy8tIl6wDNmjXD3t6eM2fO6BJ2Hx8fXbIO4O7uzvXr1+/r3CdOnMDa2pr8/HxycnLo27cvH3/88X31KWqPJOwCAEc3C9r3q0/bPh5cOX+byD9vcfF4MknXstn381X2b7iKV1NbmrZ1pGFze4xNS6+mkmS9ehSWvJzavYuzf+4nKz1dt8/Dz4/ATl3wb9cOM0vLyp/Eu31Bsn5pH4SMqIKohRA68fFV264OMzH5ewG/wk/3Stqm1RaUYL722mts3bqVhQsX4uvri4WFBYMHD65QCcfy5ct5+eWX2bx5M2vWrOGtt95i69attG/fvsLxFy7AWHT9l9zc3Ar3U15F7w0U3J/Ce1NZ/v7+/PTTTxgbG+Ph4YGpad1cm0WUjyTsQo+RkYKXvy1e/rbkZOUTdSSJyL9uEX8xvWB+9zOpmFpo8GtZUDLj2kC/ZEaS9aqXlpTE6b17OLV7F4lXr+q2Wzs6EtixE806dcbxzijSfbu7jl0WShKi6pT332lV/Xu+o/BByz179tCgQQOgIPk8cOBAsbnC9+/fj7e3N1CwUvi5c+d0pSWmpqbk5+dXaWyF9uzZw5gxYxg0aBBQUNMeExNT4X5atmxJy5YtmTZtGmFhYaxevZr27dsTEBDAnj17GD16tN45S1v1vHCml/j4eBwcHICCh06LKs/9CAgIIC4ujri4ON0o++nTp0lOTq72FddNTU3x9fWt1nOImiMJuyiVqblGt7Jq8o0szh5IJPKvRNKScji19yan9t7E3qWgZMa/jSP7r6VJsl5F8nJyiDp8mFN/7OLSiRN/l7yYmuLXujWBnbrg1ayZbhSoykgduxDVp3Nn8PQseMC0pDp2RSnY37lzlZ7WysqKCRMm8Prrr+Po6Ii3tzcLFiwgIyODZ599Vq/t7NmzqVevHq6urvzrX//CyclJt5CQj48PaWlpbN++neDgYCwtLbG8n0/0ivDz82Pt2rX0798fRVGYMWNGhUaYo6Oj+fzzz3n88cfx8PDg7NmznD9/nlGjRgEFD9MOHTqUli1b0r17d37++WfWrl1b6kw0vr6+eHl5MWvWLObOncu5c+dYtGiRXpvy3I/u3bvTokULnn76aSIiIsjLy+PFF1+ka9eutG7duoJ3qbgTJ07oldIoiqL3LIB4cEjCLsrF3tmcdn08aNvLnStRaUT+dYsLx5JJvp7N/g1X2b/xKtHG+fiYKDQJdpBkvZJuxMZyYucOzuzdo1fyUr9JEwI7d6FJ27aYWVTND8gSSR27ENVHo4HFiwtmg1EU/aS98NOsiIhqmY99/vz5aLVaRo4cye3bt2ndujVbtmzRjR4XbTd58mTOnz9PSEgIP//8s66UokOHDrzwwgsMGzaMW7duMXPmTN1Uhvfrww8/5JlnnqFDhw44OTnx5ptvkpqaWu7jLS0tiYyMZOXKldy6dQt3d3cmTpzI888/D8DAgQNZvHgxCxcuZPLkyTRs2JDly5cTXsqzAiYmJnzzzTdMmDCBoKAg2rRpw7vvvsuQIUN0bcpzPxRF4ccff+Sll16iS5cuGBkZ0atXL5YsWVLhe1SSLl266L3XaDTk5VXfNM2i9iiqKvO33Utqaip2dnYkX4vBzs6utsMpt8uv/YvbW3/DdeqrOI4YXC3nyMnK58LRZPbtTCDzarZuu7lpLgGdPWnWvh72LuYV7ldVVVJS07Czta6VFVkrq7JxZ2dmcHb/fk7s3EHCxYu67Tb16hWUvHTujINr2bMyVFaxuHd/BH9EQLMBMOD/qu289+th+3tSFxhq7CkpKdi7+pCSkoLt3dOZVkBWVhbR0dE0bNgQc/OKf2/TWbu2YLaYog+genkVJOtPPFH5fu9DWStnCiGqXkW+p8gIu6g0U3MNVxwU5mUlY2Wj0C0pCV/VmixsOLL9Gke2X8OjsTXNwurRKNgBk3s8qPqwUVWVq1HnObFjB2f//JO8nIJfeIw0GnxbtaJF1254BwZWfclLeUgduxDV64knCqZufEBWOhVCVD9J2EWlbTubyIT/nSZXq+Bx4wQBp35ABVS7pmid2qLaNeXqhTSuXkjD9Jso/JpkEdivDc6e1VjSUcdl3L7NmT1/cGLnDm5duaLb7ujuQYvwcJp17FR8QaOaJnXsQlQ/jaZKp24UQjzYJGEXlVKQrJ8hV6vQLOEkg079gKLeeUAo+TTa5NOoJrZonVqjdWpDjlk9Tp0x4dSZSJxc82nWxZsmrZwws3jwR5RUrZZLp09xYscOog4dRHtnVgFjUzP827WlRdduePj51Z0SA6ljF+KhEx4ejlTIClF3ScIuKqwgWY8kVwvNEk7yxKkfMFK1FP1WbwSQm4om/jfy439HtWmM1rktqn1zbl4zZtd3V9i7/iq+ITYEdnDErZFjLV1N9UlPSeHkrp0c//13Um/e0G13bdiQFl3Dado+7P7mTK9OMh+7EEIIUWdIwi4q5O9kXSXwTrKuuTOyXtoEXBpUuB0Ft6PIN7ZE6xiK6tyWPNyIPJBK5IFUnL2u07yjE36hDvdclKmuU1WVuMgzHP/tN84fPKAbTTeztCSgQ0dadA3H5c48yHWa1LELIYQQdYYk7KLc/i6DgRZFRtYLFU2zS03e8zLQXP8D9fof5Fs1QOvSHtUhiBtxGfz+v1j2rIvFv60T3sGW2NlaV+v1VKWs9HRO/bGbo9u3kZyQoNvu3tiX4EceoUm79pgY0ipzUscuhBBC1BmSsItyKZqsN084yeCiNet3Ufk7edcCSpHtRcdpjdMvQfQl8uN+RluvNVrn9uTgxIndNzmxG1zNDxM0pBWNQxzQGNfNUfeEixc59tt2IvfvI+/OEtomZmYEdOhAULdHcfXxqd0AK0vq2IUQQog6QxJ2Uaa7R9aH3CmDKVqzXjQxL6rco+7XdpF/bTeqrS9a5zBU+2Zcy3Ji66pL7P7uIgFtrWge3hjbemZVdl2VlZudReT+/Rz7bTvXoqN12+t5etIkrBOhjz6CeV2tTa8IqWMXQggh6gRJ2MU93Z2sDy2SrBdN0MsaUS/PqLsGFVLPw+0oFPfG5NAQrVNbsrDjyK4sjuw+hXcTc1p0sMK7hSdGNTxncdK1BI5u3cqpP3aTnZFRELOxMU3atiWo26N4+PmRejsdMwuLGo2r2kgduxBCCFEnSMIuSrXtbCIT1hTMBhOUcJLhpZTBFE26yzOiXq5Rd20aJte2oV7dTr59AFrn9qh2/sSezSL2bBZ2Tim06OJGQLt6mJpXX+KuarVcOnmSw1u3EH3smG67nYsLwd0eIbBzF9286Q/clGhSxy7EAyM8PJyQkBAiIiJqO5Q6R1Z5FYZAEnZRoqKzwQTfSdaLlsEUTbQVoKRU9X6TdwVQ0KIkn4LkU6hm9chzDkPr1IaUmxb8sfYyf66PoWlHd1p0dsbB9T6WCr9LTmYmp/7YzZGtv5JU5CHShsHBtHysBz7NW6DUxiqkNUnq2IV4YKxduxYTE5Nyt4+JiaFhw4YcOXKEkJCQ6gusDujQoQPx8fHY2dmV+5gxY8aQnJzM+vXrqy8wIYqQhF0UU7QMJjjhJCNKKIO5O9Euq1iiosm7wt+/COj6zr6FyeUNqFd/Ja9eKFqXjuRauHJi9w1O7L6Bl78VQV3daBBgi2JUufKNpIQEjmz7lVO7dpGTlQWAqYUFzTt3IaT7Yzi4uVWqX4MldexCVIv8/Hx2795NfHw87u7udO7cGU01lvk5Ohr2Whc5OTmYVtNMW6amprg9bN/bhcF5wIcIRUUVTdZDEk7y9KkfMLlTBlOYRN/9tRF//0UqrU1F2xe2UUp4GWlzMLmxH9NTizA5+zlK8mlQtcSdTWfj5xf4esZ+jq75nezM/HJds6rVEn3sGGsXfsCXb7zGkV9/JScrCwd3dx4ZNZrnI/6Pbv8Y+fAl61C8jl0Icd/Wrl2Lj48P3bp146mnnqJbt274+Piwdu3aajtneHg4U6ZM0b338fHhvffe45lnnsHGxgZvb28+//xz3f6GDQs+UWvZsiWKohAeHq7b95///IeAgADMzc1p2rQp//73v/XOtXfvXkJCQjA3N6d169asX78eRVE4evSors3Jkyfp3bs31tbWuLq6MnLkSG7evKkX76RJk5gyZQpOTk707NmzxOsaM2YMAwcO5J133sHZ2RlbW1teeOEFcu7M2gWQnZ3Nyy+/jIuLC+bm5nTq1IkDBw7o9u/YsQNFUUhOTgZgxYoV2Nvbs2XLFgICArC2tqZXr17Ex8cDMGvWLFauXMmPP/6IoigoisKOHTvIyclh0qRJuLu7Y25uToMGDZg3b175/oCEKIOMsAudkpL1wkWRqqo2vVDRh1CLti8cUb97JL+kB1UVQL0dhentKFRTR/JcOqB1akNqmgV79prx58FjNG1pQnD3hti7FJ/TPTc7i5O7d3NkyxaSrt0pe1EUGgUF07JHTxoEBj74ZS9lkTp2IarU2rVrGTx4cLFnXq5cucLgwYP5/vvveeKJJ2oklkWLFjFnzhymT5/O999/z4QJE+jatSv+/v789ddftG3blm3bthEYGKgb3f7vf//L22+/zccff0zLli05cuQI48aNw8rKitGjR5Oamkr//v3p06cPq1ev5tKlS3q/KAAkJyfzyCOP8Nxzz/HRRx+RmZnJm2++ydChQ/ntt9907VauXMmECRPYs2fPPa9j+/btmJubs2PHDmJiYhg7diz16tVj7ty5ALzxxhv88MMPrFy5kgYNGrBgwQJ69uxJVFRUqZ88ZGRksHDhQlatWoWRkRH/+Mc/eO211/jvf//La6+9xpkzZ0hNTWX58uVAwScY//d//8dPP/3Et99+i7e3N3FxccTFxVX2j0cIPZKwC6BozTq0TDjJyHvMs16R5P1e87BTZHvR9oVKmoWmtHMqOYm6chltvVDyXDqQhxsn/8zl5J/naBRkR3C4C+6NrElPSebo1q0c++03stLTgDtlL126EtK9Ow6uD+FIemmkjl2IKpOfn8/kyZNLfEBdVVUURWHKlCkMGDCgWstjCvXp04cXX3wRgDfffJOPPvqI33//HX9/f5ydnQGoV6+eXrnIzJkzWbRoke6XioYNG3L69Gk+++wzRo8ezerVq1EUhS+++AJzc3OaNWvGlStXGDdunK6PwmT/vffe02378ssv8fLy4ty5czRp0gQAPz8/FixYUOZ1mJqa8uWXX2JpaUlgYCCzZ8/m9ddfZ86cOWRmZrJ06VJWrFhB7969Afjiiy/YunUry5Yt4/XXXy+xz9zcXD799FMaN24MwKRJk5g9ezYA1tbWWFhYkJ2drXdvYmNj8fPzo1OnTiiKQgNDWNVaGAxJ2IXeA6ahCSf5R5GR9UKVHVXXQLH52u9W9KFVoyL/r9SDqtocjG7sx+jGflQbX/LcuqDaNeXi8RSijkRhojlGRsopVG1BuYydiwuhPXrRvEsXTM2r7qHVB4rUsQtRJXbv3s3ly5dL3a+qKnFxcezevVuvBKW6BAUF6b5WFAU3NzeuX79eavv09HQuXLjAs88+q5eA5+Xl6R7YPHv2LEFBQZgX+X7atm1bvX6OHTvG77//jrV18U8+L1y4oEvYW7VqVa7rCA4OxrLI2hdhYWGkpaURFxdHSkoKubm5dOzYUbffxMSEtm3bcubMmVL7tLS01CXrAO7u7ve8N1BQnvPYY4/h7+9Pr1696NevHz169CjXNQhRFknYH3JFy2BCE04yqkiyXjQZvlf5yt1tyjsXOyW0KaSUcs67ldbGCArmc78dRa6dKxpPV9KyrlNY1WhsXp9mHR6j89CumFuWf+aEh5LMxy5ElSisga6qdvfr7lljFEVBqy29oDEtreATyS+++IJ27drp7avIJwJpaWn079+f999/v9g+d3d33ddWVlbl7rOqlXRvypq6NzQ0lOjoaH755Re2bdvG0KFD6d69O99//311hioeEpKwP8TuTtbH3JWsl5RcU8r2qpiL/e7EvSKLLpX0y0C+jQWmjVxJTcuCrOsoioKjZ3Oys4LIy3Pl3BGIiTxNYFg9grq6YG1fPTMQGDypYxeiShRNRquiXXUqrFnPz//74X1XV1c8PDy4ePEiTz/9dInH+fv78/XXX5OdnY2ZWcHK1EUf8ISCxPaHH37Ax8cHY+P7T0OOHTtGZmYmFncWrdu/fz/W1tZ4eXnh5OSEqakpe/bs0ZWo5ObmcuDAgWK19RVhamqqd28K2draMmzYMIYNG8bgwYPp1asXiYmJBj9Lj6h9krA/pIom660STjL2rpr1oslveRL3yq5ueq/69ZLGcUvqr6h8IwVLW0tuOlqTrSiQloWJmRktuoYT2rMnds4u5OZoOfvXLY7tvE7y9WyO/HadYzuu4xvqSOijrtTzeEBWKq0qUscuRJXo3Lkznp6eXLlypcTRWkVR8PT0pHPnzrUQnT4XFxcsLCzYvHkznp6emJubY2dnxzvvvMPLL7+MnZ0dvXr1Ijs7m4MHD5KUlMQrr7zCU089xb/+9S/Gjx/P1KlTiY2NZeHChUDB9QFMnDiRL774ghEjRvDGG2/g6OhIVFQU//vf//jPf/5T4fr9nJwcnn32Wd566y1iYmKYOXMmkyZNwsjICCsrKyZMmMDrr7+Oo6Mj3t7eLFiwgIyMDJ599tlK3x8fHx+2bNnC2bNnqVevHnZ2dixZsgR3d3datmyJkZER3333HW5ubrIYk6gSkrA/hIo+YNoq4STP3pWsl1YKU1RZ5TJ3q+iDqlB8HvZ7jeKrGiPy7CxJtbUkSVOw19rBgZY9ehIU3g3zIh+tmpga0byTM4EdnIg5ncLR369zNSqNcwcTOXcwEZ/mdrTq7opbw+L1lQ8tqWMX4r5pNBoWL17M4MGDi5VYFCazERERNfLAaVmMjY35v//7P2bPns3bb79N586d2bFjB8899xyWlpZ88MEHvP7661hZWdGiRQvdaLWtrS0///wzEyZMICQkhBYtWvD222/z1FNP6eraPTw82LNnD2+++SY9evQgOzubBg0a0KtXL4wqMTPXo48+ip+fH126dCE7O5sRI0Ywa9Ys3f758+ej1WoZOXIkt2/fpnXr1mzZsgUHB4dK359x48axY8cOWrduTVpaGr///js2NjYsWLCA8+fPo9FoaNOmDZs2barUNQlxN0V94NZTr1qpqanY2dmRfC2mQqug1bbLr/2L21t/w3XqqziOGKzbXvQB09YJJ3mmjAdMS0uuK9pGLeXrEtsoCri6ol67hvauv57qXf/PM9aQbm9Fpo0F3FksqZ5Hfdr060fT9mFoyvlx6/XYdA5vv8aFY8m6zj18rQnt7op3U1vdD9N7UVWVlNQ07Gyty9W+rihX3Jf2werhYO0Kk/6sE3XsD/T9rqMMNfaUlBTsXX1ISUnB1ta20v1kZWURHR1Nw4YN9R6qrKi1a9cyefJkvQdQvby8iIiIqLEpHWvSf//7X8aOHUtKSoqubKWqyIqjwpBV5HuKjLA/RIqWwbS5M7Je1gOmRVX1yHtZc7GX1Efh9lxTY9Lsrci2sdAl726NG9Ou3+M0btmywvOnu3hb0WtsI5KuZXFk+zXOHkzkalQaV6PScPK0ILS7G42D7TGq5AqqBk/q2IWoMk888QQDBgyo0ZVOa9JXX31Fo0aNqF+/PseOHdPNsV7VyboQDxNJ2B9AObk5nL96ATfg95O76Z/7OLsupukl6+NKGFkvVFLSXd5a9orUuxdVWr373X1km5tw296KLKu/fxP1adGCtv3649k04L5H/RxczXnkqQa07ePO0d+vc2rvTW5ezuTXFdHYOZnR8lFXmrZ1RGOs/wtBXk4euz/9i+Sbt7F3sqHzC20xNn2A/nlJHbsQVUqj0dTI1I21ISEhgbfffpuEhATc3d0ZMmSIbhEjIUTlGFRh1bx582jTpg02Nja4uLgwcOBAzp49W+Zx3333HU2bNsXc3JwWLVqwadOmGoi2dryx6m0s33HnaOpJANbG/4zjO48zbvVJXbL+fAnJuhH6c6Df/RfDqJRXWW3uVnR70QdL717dtOh2gCwLU1LqO3Kjfr2CZF1RaNK2Lf+YPYcnX38Tr4BmVfoRvbW9KZ0GeTJ6VnPa9HLHzFJDys1sdqyJZdXsUxzbeZ28nIJ7+PP0bfxovxOmWmD7gxNMteBH+538PH1blcVTJxRO73hpX+3GIYSo09544w1iYmJ0H/d/9NFHevOkV6UVK1ZIOYx4KBjUEODOnTuZOHEibdq0IS8vj+nTp9OjRw9Onz5d6nyte/fuZcSIEcybN49+/fqxevVqBg4cyOHDh2nevHkNX0H1emPV23xweQkUuRUm2gbU00xFRYPjrb944dQvaFRtqXXkJSXZ9zOiXlo/5XkIVaEgUU9zsCbdomCKMSONhsBOnWnTtx8ObtW/Iqm5lTFte7sT8ogLZ/bd4ujv10hLzuWPtZc5vC0B06wU3JY6Yq1V9C7KQeuA8qHCz2yj/3vdqz3OGiHzsQshhBC1wqAS9s2bN+u9X7FiBS4uLhw6dIguXbqUeMzixYvp1auXbvnhOXPmsHXrVj7++GM+/fTTao+5puTk5vDh2U8KkvUieZR1fg8UTEg32kWczUK02mCMFf10+p6LD5VAW879lWmjpaA8JlMDSR4OZJsXJOoaExNadA2nbb9+2DjWK6XX6mNqpiE43IXmnZw48+ctDm29RlpSDhlYcXsEOB0Dh8i/fw0ywggtWnIWK+TNynswymOkjl0IIYSoFQadRaSkpADcc0GCffv28corr+ht69mzZ6kfoWVnZ5Odna17n5qaChTMjlCXJ9T59y/LUK0LEkUAY9URyAU0ZGh2k2jyIZjBT1Y3GZLpSmlXUnTMVFvCtqLv7543/V593KtN0ZlfMi1MSXSwJtscwBSNsTEtunWjTZ9+2Nz5c67NPwcjjUJgByeatnXkp/cPcvOiCbk2cC1M5WYIOF5WcbyioskBBQVH1ZHdn/5F+EthtRZzWQr/bpd5XzVm4BGCEvcn6qV94OBTI/GVptxx1zGGGjcYbuyGFq8QQtzNYBN2rVbLlClT6Nix4z1LWxISEnB1ddXb5urqSkJCQont582bxzvvvFNse8rtdFDq7hP815Nv0dCiYMRTmxOIqdYMOIGiicPG9k9slYIV3rI87MlP+/t+lFaOUlrJTFGVTcxBf1Q9H8jQwC0TyL5zi42MNQR06kpQ9x5Y2tmhBVJS00qJpHYoOck0+suJFHe45QO5lgo3/IxIbKDieEnF/jJo8iH15u06F3tRqqqSlp4JUOZzAOauoZjH/UnuhT/IaNS/JsIrVUXirksMNW4w3NhTbqfXdghCCHFfDDZhnzhxIidPnuSPP/6o0n6nTZumNyKfmpqKl5cXdjZW2NnW3YV0XOzrEX01GvP8NjjljAW+ASDJaDMxWYm6dn0SPDHOKEiXVVWl6K8gRadVpMjXpdWpFz1OU0qbottLGplPNzclqZ416WYmABibmBD0yKM06dwVd8/6dTopsHeygYtGOF4Eh70qyU3gZmv1TuIOiZ53SmUcber0353C0cdyza3t1wUOLsUk/iB2Nla1WsdeobjrEEONGww4drX4EvJCCGFIDDJhnzRpEhs2bGDXrl14enres62bmxvXrl3T23bt2jXcSnlg0czMDDMzs2LbFUWp0z+gXuz9LG/99SP1NFNRMCFfuQmASj5atKCCUSoMzHDW5VhKkcy8aPJe2oJHpY2oayrRJsPMhGQXW5JN7yTqpqaEPNqd1n36YmlrS0pqWp2/551faMuPU3fioHXACCMczqrY5qrc1sDNlpBjB9faQ1qiDaf23iSgvRMaTd28nsJ7Xeb99gwFjRlK2jVIvlTrdezljruOMdS4wTBjN6RYhRCiJAY1raOqqkyaNIl169bx22+/0bBh2clCWFgY27dv19u2detWwsLqbk1xZey6mIaL5l+6B0yzjYpMd3kn6x5+zA0zRYNy5z+M/n4V/SFcdFpGpZRXZad2zDI1Js7NnhjPeiSbmmCk0dDysR48t/BDuo54CisDWk3W2NQY0ykqCkrBL0UU/BJkf16h0Rpw3wEaJZ/0lFx2fhvH6rmnOHvgFlqtAdfTFs7HDgWzxQghHno+Pj5EREQY/HkURamSKSJr6n6Ih4tBJewTJ07k66+/ZvXq1djY2JCQkEBCQgKZmZm6NqNGjWLatGm695MnT2bz5s0sWrSIyMhIZs2axcGDB5k0aVJtXEK12HY2kQlrItFihJd1PEm5H+rtN0qFp3a7MSnTG8WIv19F/qvu5D3XREOcix1RXk7ctjJHURQCu3Th2Q8W8cjIUVjZ21fjHao+/d/rTtort0gyStLbnmyUhEnfRJ77oBWdnvDEwtqY1Fs5bPv6EmveP8PFY8mG+yCczMcuxENpxYoV2JfwvfrAgQOMHz++5gOqZbV5P3bs2IGiKCQnJ5f4/m6zZs3S/Vw3NjbGx8eHf/7zn6Sl1d3nq4Q+gyqJWbp0KUCx1eGWL1/OmDFjAIiNjcWoyLL0HTp0YPXq1bz11ltMnz4dPz8/1q9f/8DMwV6YrOfmq/QNrMfiJzug1T7OntGjgEuERznwfLQvpgUZOnpFLnrzKf79kbFaZLtyp65FVdUSVyJV7/r67nr3HI0RCY7WJNlZUpif+rdrT4cnnsDR3eM+rrzu6P9ed/JmFax0mnpnpdMBL3TVTeUY3NWFgPb1OLHrBke2XyMxIYtfvryIi7cl7ft54OVvW8tXUEEyH7sQ9y1fVdmdnEx8Tg7upqZ0trdHY6D/lpydnWs7hDqlrt6PwMBAtm3bRl5eHnv27OGZZ54hIyODzz77rLZDE+VgUCPsRacUK/oqTNah4LfMFStW6B03ZMgQzp49S3Z2NidPnqRPnz41G3g1KZ6s+2OsUTA1McXPozEArfLtMDPS6Go4i9aeKsrfuVbhqDv8PfIOVHrUXVUUrtez4VxjVxJtC5L1RiEtGTlnLv0mTnpgkvVCxqbGhL8URrdXOxD+UlixeddNzTS0esyNkW8H0qqHG8amRlyPzeCnf0fx86dR3LqaWUrPddDd87ELISpk7Y0b+OzfT7djx3jqzBm6HTuGz/79rL1xo9rOmZ2dzcsvv4yLiwvm5uZ06tSJAwcO6PYXjtBu3LiRoKAgzM3Nad++PSdPntTtHzt2LCkpKbqfBbNmzQKKl4AoisJnn31Gv379sLS0JCAggH379hEVFUV4eDhWVlZ06NCBCxcu6I65cOECAwYMwNXVFWtra9q0acO2bRVbLXrHjh20bdsWKysr7O3t6dixI5cuXdLtX7p0KY0bN8bU1BR/f39WrVp1z77uHrE+evQoiqIQExNTofsRGxvLgAEDsLa2xtbWlqFDh+o9Wzdr1ixCQkJYtWoVPj4+2NnZMXz4cG7fvl2h6y+LsbExbm5ueHp6MmzYMJ5++ml++umnKj2HqD4GlbCLv5WWrBejKChGd15K8dedJuVO3Ava/31s0VIYhYJR9gyvekQ2duWqvRV5+Sr1mzRh+Iy3GfTKq7g0aFAt98NQmFka076vByPfDqRFF2eMjCD2TCprFpzht9WXSEvOqe0QyyZ17EJU2tobNxh86hSXi6z3AXAlO5vBp05VW9L+xhtv8MMPP7By5UoOHz6Mr68vPXv2JDExUa/d66+/zqJFizhw4ADOzs7079+f3NxcOnToQEREBLa2tsTHxxMfH89rr71W6vnmzJnDqFGjOHr0KE2bNuWpp57i+eefZ9q0aRw8eFD3TFqhtLQ0+vTpw/bt2zly5Ai9evWif//+xMbGluv68vLyGDhwIF27duX48ePs27eP8ePH635WrVu3jsmTJ/Pqq69y8uRJnn/+ecaOHcvvv/9eibtJue+HVqtlwIABJCYmsnPnTrZu3crFixcZNmyYXrsLFy6wfv16NmzYwIYNG9i5cyfz58+vVGzlZWFhQU6OAfzMEYCBlcSIAuVO1rmTdCsKqqqi3Em4Va1ayqwJlSuXAVBUlRRbC2LtrcgyMQYVHNzc6DxsOL6hrWSWhrtY2pjQ5Ukvgro4s3/DVS4cTebMn7c4fziRkG6utHzUFVPzujvvP97tC5L1S/sgZERtRyOEQchXVSZHRZW4cF1heeGUqCgGODlVaXlMeno6S5cuZcWKFfTu3RuAL774gq1bt7Js2TLdSuAAM2fO5LHHHgNg5cqVeHp6sm7dOoYOHYqdnR2KopQ6y1pRY8eOZejQoQC8+eabhIWFMWPGDHr27AkUPF82duxYXfvg4GCCg4N17+fMmcO6dev46aefyvXMWWpqKikpKfTr14/GjQs+YQ4ICNDtX7hwIWPGjOHFF18E4JVXXmH//v0sXLiQbt26ldn/3UxNTct1P7Zv386JEyeIjo7Gy8sLgK+++orAwEAOHDhAmzZtgILEfsWKFdjY2AAwcuRItm/fzty5cyscW3kcOnSI1atX88gjj1RL/6LqyQi7galIsg5/j57rlbRojO456l7wKnJsGQ+q3rYwIdKzHuec7cgyMcbCxoZHR41m9Hvz8WvVWpL1e7B3NqfX2EY8MaUJbj5W5OWqHPw1ga/nnOLkHzfIz6+jD6beXccuhCjT7uTkYiPrRalAXHY2u0t5cLCyLly4QG5uLh07dtRtMzExoW3btpw5c0avbdEZ1BwdHfH39y/WpjyCgoJ0XxcuXtiiRQu9bVlZWbrVxNPS0njttdcICAjA3t4ea2trzpw5U+4RdkdHR8aMGUPPnj3p378/ixcvJj4+Xrf/zJkzetcP0LFjx0pdW0WcOXMGLy8vXbIO0KxZM+zt7fXO7ePjo0vWAdzd3bl+/XqVxnLixAmsra2xsLCgbdu2hIWF8fHHH1fpOUT1kRF2A1LRZB24U1SuoBQZ0yl4TrCw1KVI29JWRipl5D1b0RDraMUtK3OgYC71Vr1606ZvX8wsLMt7WQJwb2jNE1OacPFYMvt+vkrKzWx2fhfH8V3X6TjIkwYBdWy6y7vr2Gt5PnYhDEF8OcsPytuuLjMxMdF9XfjzpqRtWm3BD57XXnuNrVu3snDhQnx9fbGwsGDw4MEVKtlYvnw5L7/8Mps3b2bNmjW89dZbbN26lfbt21c4/sLJK4rO5pWbm1vhfsqr6L2BgvtTeG+qir+/Pz/99BPGxsZ4eHhgampapf2L6iUj7AaiUsk6wJ2SmKJD5no160VH1e+MuhfdXvxr0BpBnK0lJxo46ZL1wM5deGbBB3QaPESS9UpSFIXGIQ6MmN6Mzk96Ym5lTNK1bDZ8eoGNn0eRfD2rtkP8m9SxC1Fh7uVMkMrbrrwKH7Tcs2ePbltubi4HDhygWbNmem337//733NSUhLnzp3TlZaYmpqSn189q8bu2bOHMWPGMGjQIFq0aIGbmxsxMTEV7qdly5ZMmzaNvXv30rx5c1avXg0UlMcUvf7Cc959/YUKZ3opOkp/9OhRvTbluR8BAQHExcURFxen23b69GmSk5NLPXd1MTU1xdfXFx8fH0nWDZCMsBuAyifr+ok53BktKEy+KzjqrgIptpZccrQhLS8ftCr1/f155B+jHvqHSauSRqMQ1MUF/9aOHNiSwIld14k5lUps5BmCw11o3cOtbtS3Sx27EBXS2d4eTzMzrmRnl1jHrgCeZmZ0ruJ1KaysrJgwYQKvv/46jo6OeHt7s2DBAjIyMnj22Wf12s6ePZt69erh6urKv/71L5ycnBg4cCBQULaRlpbG9u3bCQ4OxtLSEkvLqhmg8fPzY+3atfTv3x9FUZgxY0aFRpijo6P5/PPPefzxx/Hw8ODs2bOcP3+eUaNGAQUP0w4dOpSWLVvSvXt3fv75Z9auXVvqTDS+vr54eXkxa9Ys5s6dy7lz51i0aJFem/Lcj+7du9OiRQuefvppIiIiyMvL48UXX6Rr1660bt26gnepbCdOnNArrVEURe/ZAGG4ZIS9jrufZB24M6JeygwxFRh1z7U254ybA6dsLUnLy8fGsR59X5zEsOlvSbJeTcwsjek0yJNhbwbg3dQWbb7Kke3X+O/cU0T+dQu1tldMlTp2ISpEoygs9vUF/l6/olDh+whf32qZj33+/Pk8+eSTjBw5ktDQUKKiotiyZQsODg7F2k2ePJlWrVqRkJDAzz//rBuN7dChAy+88ALDhg3D2dmZBQsWVFl8H374IQ4ODnTo0IH+/fvTs2dPQkNDy328paUlkZGRPPnkkzRp0oTx48czceJEnn/+eQAGDhzI4sWLWbhwIYGBgXz22WcsX7682LouhUxMTPjmm2+IjIwkKCiI999/n3fffVevTXnuh6Io/Pjjjzg4ONClSxe6d+9Oo0aNWLNmTflvTgV06dKFli1b6l6tWrWqlvOImqeoBrvcYs1ITU3Fzs6O5Gsx2NnVbB3x/STrl1/7F7e3/kauow35Vha67UWTvKJ/9Lqv7/rrkIPCJWtz4q0tUFUVYxMTWvftR9u+/TAxM7uPqyudqqqkpKZhZ2ttUA+sVmfcqqoScyqFP9ZdIfVmwUNrrg0s6fykF64NrO6770rFnZcFHwZBfjY8v6PG69jl70nNM9TYU1JSsHf1ISUlBVvbyi9UlpWVRXR0NA0bNsTc3LzS/ay9cYPJUVF6D6B6mZkR4evLE7W06M6OHTvo1q0bSUlJJa7eKYSoehX5niIlMXXUfY+sF6H3c9WoyJsSPm1Ui/z/upkJF2wsyDUyAlWlSdu2dBk2Ars6uorbg0xRFBo2t8e7qS3Hdl7n4JYErl3K4PuPztK8oxPt+3pgZlnD/5wL69hj9xe85MFTIcrlCWdnBjg5PTArnQohqp8k7HVQVSbroF+/XvjzQFUpdV72dI0Rce6OJGQXPBFfz8ODR0aNwbuGH5ARxWmMjQh91A3/1vXY+9MVzh1M5OQfN7lwLJlOgzzxC3Wo2ZFPqWMXolI0ikL4XeUoQghRGknY65hqSdYLF07SS+QKxtKLJu55WpW0IB+OJiShzc7F2NSU9gMG0rp3HzTG8lelLrGyM+GxkT4EtKvHzu9iSb6ezdavYjiz/xZdh3hh71L5j+sr5O46dhkhFMIghYeHIxWyQtRdkoXVIVWdrMOdhN1I0Z/tRS95L/gGfctYw3kbS9LjkwBoGBzMo6NGY+fscl/nF9XLs4kNw98M4Mj2axz8NYHL527zzfwztHrMldDubhibVPNz5TIfuxBCCFHtJGGvI6ojWS+kQKm16zkKnLUw45ppwaIN1g4OPPKPUfi2lhVKDYXG2IjWPd3xDXVg1/dxxEXe5sDmBM4fTqLb8AZ4NLauvpNLHbsQQghR7WRaxzqgOpN1FMBIKVjwtPBlVDDqnmBqzAFXB66ZmqAoCq169mLs/AX4tWkjyboBsnc2p/8LvvQY0xBLW2OSr2ezbsk5dn0fR0529Sx2AvxdFnNpX/WdQwghhHiIyQh7LavWZJ0iNexFfjXLVuGMmQnXTYwhKxcnLy96PjsOt0aNquy8onYoioJfSwe8/W3Ys/4KZ/68xYndN4g5lUK34d54+Vd+SrtSSR27EEIIUa0kYa9F1Z2sF6UoBeua3rSx4ISRETm5+RhpNLR7fADt+j8uD5U+YMwsjXnkqQb4hTrw+5pYbifm8NO/owhoX4+OA+pX7RSQUscuhBBCVCspiaklNZWsG91ZsTRbUThqZc6hfJWc3HxcGzbkH7PfpcOgJyRZf4B5NbVl+NQAWnQumDv/zP5bfDP/DJdOp1TdSQrr2KFglF0IIYQQVUoS9lpQkyPrANdMNPxhbso1FYxNTOgybDhPvT0LZy+vajunqDtMzTR0GezFoJebYOdsRnpKLhs+u8DO72LJraradqljF0IIIaqNDK3WsJpM1nONjDhlZ8XVOyPorg0b0vv5CdTz8KiW84m6zaOxNcPfCGDfhisc33mDk3/c5PK52zz6dAPM73f9FqljF0IIIaqNjLDXoJpM1q/lZLLb34urFmYoRka0HziIETNmSrL+kDM2NaLzE148/qIvVnYmJF/PZu3ic5z4/Rba/PtYNOXuOnYhhKgmcXFxhIeH06xZM4KCgvjuu+9qOyQhqp0k7DWkppL1vNxcdvz3a3YkXyfL1BgbSyuGv/U2HZ94UmrVhY6Xf0Ftu1+oA6oWjv+eyNrF50i+kVW5DqWOXQhRQ4yNjYmIiOD06dP8+uuvTJkyhfT09NoOS4hqJQl7DaipZD3pWgLfzHmHQ1s2A+B9M4UBHbvh4etb5ecShs/c0pgeoxvy2MgGmJobcT02g28/iOT84cTKdSh17ELUebdu3cLFxYWYmJjaDqXchg8fzqJFi3Tv3d3dCQkJAcDNzQ0nJycSEyv5fUsIAyEJezWrqWQ9cv9+vp7xFtdjYjC3tqaznTPNr9zEREbVRRn8WjnSZ6I37o2syM3W8uvKGH5fE0tejrbsg4u6u45dCFHnzJ07lwEDBuDj41PboQCwa9cu+vfvj4eHB4qisH79+mJt3nrrLebOnUtKSvHZrQ4dOkR+fj5eVTyJwrx582jTpg02Nja4uLgwcOBAzp49W6XnEKIiJGGvRjWRrOfm5LB1+TI2/vtjcrKyqN+kCaPenYuHmWWVnkc82KzsTBgw0Y/WPdxAgdN7b/Ldh5EkJmSWvxOpYxeiTsvIyGDZsmU8++yztR2KTnp6OsHBwXzyySeltmnevDmNGzfm66+/1tuemJjIqFGj+Pzzzyt17tzcXHJzc0vct3PnTiZOnMj+/fvZunUrubm59OjRQ0pvRK2RhL2a1ESynhh/ldXvzOT477+DotDu8QEMnfYvbBzrVel5xMPBSKPQrq8Hj0/wxcLGmMT4LL5bdJbIv26VrwOpYxeiTtu0aRNmZma0b99et+2bb77BwsKC+Ph43baxY8cSFBRU4oh2VevduzfvvvsugwYNume7/v3787///U/3Pjs7m4EDBzJ16lQ6dOhQ7vNdvXqVZcuW8eSTT+Lk5MSFCxdKbLd582bGjBlDYGAgwcHBrFixgtjYWA4dOlTuc5VHbd9/YTgkYa8GNZGsRx06xH9nvs3NuDgsbW158vU36DR4CEYaTZWeRzx8vPxtGfZGAJ5NbMjL0bL9v5fY+V0s+XnlKJGROnbxkFFVldzs/Fp5qRUsPdu9ezetWrXS2zZ8+HCaNGnCe++9B8DMmTPZtm0bv/zyC3Z2dlV2n+5X27Zt+euvv8jOzkZVVcaMGcMjjzzCyJEj73lcfn4+e/fu5a233iI0NBRPT08iIiLw8/Njw4YNNGnSpFznL0yeHR0d7/taijKU+y9qnxQ4V7HqTtZVrZa969ay/8f1AHj6N6XvxIlY29/vRNpC/M3K1oT+E3w5uCWBA1viOfnHTW5dyaTn2EZY2ZmUfqDMxy4eMnk5Wj6fvLNWzj1+cVdMzMo/SHPp0iU87praV1EU5s6dy+DBg3Fzc2PJkiXs3r2b+vXrV3W498XDw4OcnBwSEhKIi4tjzZo1BAUF6WreV61aRYsWLfSOWb58Oa+99hrp6ek8+uijPPfcc/Tt25cGDRpU6NxarZYpU6bQsWNHmjdvXlWXBBjO/Re1T0bYq1B1J+tZ6ems+2iRLlkP7dGTwW9OlWRdVAsjI4W2vd3pO64xphYa4qPT+XZhJAnRaaUfJHXsQtRZmZmZmJubF9ver18/mjVrxuzZs1m3bh2BgYFA+ec7nzp1Koqi3PMVGRl5X7FbWFgABXX4nTp1QqvVcvToUd3r7mQdwMHBAU9PT12iHx8fz9WrV9FqK/ZA/cSJEzl58qReSU5R93v9pd1/gEGDBuHg4MDgwYMrFLN48MgIexWp7mT95uXL/Lj4I5KvXcPYxITHnnmWZh07VVn/QpTGJ9COIa/4s2nZRZISsli35Dydn/SkeUfn4o0L69hj9xe8HBvWfMBC1CBjUyPGL+5aa+euCCcnJ5KSkopt37x5M5GRkeTn5+Pq6vp3/3fmOw8JCSEhIYFWrVrRp08frKys9I5/9dVXGTNmzD3P3ahRowrFerfCaRudnUv4vlOKgQMHMnDgQK5cucKmTZvYtGkTixcvxsTEhJ49e9KnTx+GDBmCmZlZqX1MmjSJDRs2sGvXLjw9PUtsc7/XX9r9B5g8eTLPPPMMK1euvGf/4sEnCXsVqO5kPfr4MTZ8vIScrCxsnZx4/OXJuPpIIiRqjr2LOYNf8ee31Ze4cDSZnd/GkZSQRcdBnhgZ3fV33bt9QbJ+aR+EjKidgIWoIYqiVKgspTa1bNmy2Ewrhw8fZujQoSxbtowVK1YwY8YM3Ui6u7s77u7ugP5853cn7M7OzhVKpCvj5MmTeHp64uTkVOFj69evz7hx4xg3bhw5OTns2rWLTZs28e6779KmTRv8/f2LHaOqKi+99BLr1q1jx44dNGxY+s/c+7n+e91/gPDwcHbs2FGpvsWDRRL2+1TdyfrRbVv5bdVXqKqKV0AA/Sa9jKWNTZX1L0R5mZpp6DmmIYe3XWP/hqsc33WDlJvZ9BjdEFPzIgmL1LELUSf17NmTadOmkZSUhIODAzExMfTt25fp06czYsQIGjVqRFhYGIcPHyY0NFTv2Oqa7zwtLY2oqCjd++joaI4ePYqjoyPe3t667bt376ZHjx4V6vvGjRvculV8litPT0/Gjx/P+PHjS03EJ06cyOrVq/nxxx+xsbEhISEBADs7O115zv2qyP0XQmrY70N1JutarZbf//s1279aiaqqBHbuzJOvvynJuqhViqLQ6jE3eo5tiMZE4dLpVNb+3znSknP+biR17ELUSS1atCA0NJRvv/2WxMREevXqxYABA5g6dSoA7dq1o3fv3kyfPl3vuPud7/xeDh48SMuWLWnZsmBK2FdeeYWWLVvy9ttv69pkZWWxfv16xo0bV6G+Fy1aREBAwD1fFy9eLPHYpUuXkpKSQnh4uO6TBnd3d9asWVP5iy2iIvdfCJAR9kqrzmQ9NzuLDf/+hItHjgDQachQ2vbrjyIjlaKO8A1xwMbBlI1fXODWlUy+W3SWfuMb4+xlKXXsQtRhb7/9Nq+//jrjxo0r8UHIjRs36r2v7Hzn5RUeHl7m9JTLly+nbdu2evPHl8f8+fOZP39+peKq6JSZFeXo6Fiu+y9EIRlhr4TqTNYz09L4bv58Lh45grGJCf0mvUS7/o9Lsi7qHNcGVgx+xR9Hd3MyUnNZt+Qcl8/fLtgp87ELUSf17duX8ePHc+XKlTLbVmS+8+pkYmLCkiVLau38QtQFlUrYMzMzS/zHfurUqfsOqK6rzmT9dmIia+bOIf5CFOZW1gyZOh3/tu2qpG8hqoOtoxlPTvGnvp8Nudlafl4axYVjScXr2IUQdcaUKVPKVYu+Z88e1qxZw/r16wkJCSEkJIQTJ07UQIT6nnvuuRIfDH0YdO/enSFDhrBp0yY8PT3Zt08GQR5WFS6J+f7775kyZQpOTk5otVq++OIL2rUrSCpHjhzJ4cOHqzzIuqI6k/XE+Hi+XzCf27duYe3gwOA3plJPFk4QBsDUXEO/5xuz9asYLh5PZsvyaMIH+9CsaB27lMUIYXAK5zsXtWfbtm21HYKoIyo8wv7uu+9y6NAhjh49yvLly3n22WdZvXo1UP01X7t27aJ///54eHigKIpuhbPS7Nixo8QFDAqf9q6I388nVVuyfi0mhv+9O4fbt27h4ObGiBkzJVkXBsXYxIieYxvSLKweqgq/fxfPYeWFgp2x+2s3OCGEEMLAVXiEPTc3Vzexf6tWrdi1axeDBg0iKiqq2uus09PTCQ4O5plnnuGJJ54o93Fnz57F1tZW997FxaXC5351bRT5JhZVn6xHR/Pd+/PIzsjA1achT7z2OpZFYhXCUBgZKYQP88bC2phDW6+x73I4WusrtJb52IUQQoj7UuGE3cXFhePHjxMUFAQUPOm8detWRo8ezfHjx6s8wKJ69+5N7969K3yci4sL9vb293XuXK1K/ypO1hMuXuT7BfPJzsjAw68JT7z2GmYWllXStxC1QVEU2verj4mZhv0brvJn2tOoR3+izeMyH7sQQghRWeVO2G/fvo2NjQ2rVq3C2Fj/MFNTU7755hsmTZpU5QFWhZCQELKzs2nevDmzZs2iY8eOpbbNzs4mOztb9z41NRWAngGORDzRBI1R1ZT+JFy8yA8fvE92Rgb1mzRh0CuvYWpuUeVlRSpqtZcqVTVVVXUvQyJx/y20uyuKmse+jdf5K/Fx1HVnaDMooMr6B7nftcFQYze0eIUQ4m7lTtg7d+7M5s2b8fT0LLXNvRLh2uDu7s6nn35K69atyc7O5j//+Q/h4eH8+eefpa4iNm/ePN55551i26eFu5Kenl4lcd2Mi+WXJRHkZGbi2qgxj4ybQGZuPpm5aVXSPxSULgFkZmWTklp1/dYEVVVJS88EMKjpLCVufY3a2aE9+g1/XnmUAzuzyNZcokV4vSrrX+53zTPU2FNuV833biGEqC3lTthbtmxJu3bt2LJlC02bNtVtP3r0KNOnT2fTpk3VEuD98Pf315sKqkOHDly4cIGPPvqIVatWlXjMtGnTeOWVV3TvU1NT8fLywtHOGjtb6/uOKTE+nl+XfkxOZib1m/gz6NXX/r+9+w6L6kofOP6doSPSkaIoiiJFqoqCDUusIRqTWGNLNqavrmm6m/2Z3tYUN5tNsilqsiZriiXRxN4VFVBQFFRQxAJY6Cht5v7+QCaioIDAzMD7eZ554tw59953Djfwzpn3noO5peVdH/dmRWZmlABWlhaNEndzqhoNs7O1MaqkQOK+Vc++JphsXMrewpkc3pqDnYM1gQNcGuXY0t/Nz2hjVzT6jkAIIe5KnRP2JUuWsHDhQvr378/q1atp164dL7/8Mj///DOjR49uyhgbVXh4OLt37671dQsLCywsLG7ZXjXDzN0ouHKFn997l2uFhbh6deb+557Dwsrqro55JyruPm59uHFWH2Micd+kUwShbRZTbupMbO697Pr5HJbWpvj0cmyUw0t/Nz9jjN2YYhVCiJrU66bTV199FQsLC+655x40Gg1Dhw4lJiaG8PDwpoqv0SUkJODu7t7s571aWMjP771LYc4VHNzdGf/8C3KDqWj52oeCiQW9zb+ipPcDHIktZcvydMytTPAKsNN3dEIIIYRRqPM87NnZ2cyZM4c33ngDf39/zMzMmDlzZrMm60VFRSQkJJCQkADA6dOnSUhIICMjA6gsZ5k+fbqu/UcffcSaNWtITU0lKSmJuXPnsnXrVp5++ulmixmgvKyM1R8sIifzAm0dnXjwhZdk6kbROphaQvtQVCoYEHAYn54OaLWwYckpss9IXbEQQghRF3VO2Dt37szOnTv58ccfiY+P5+eff2b27Nn84x//aMr4qomLiyM0NJTQ0FAA5s2bR2hoKP/3f/8HQGZmpi55BygrK+O5554jMDCQQYMGkZiYyObNmxk6dGizxawoChu++A+ZaWlYtmnDAy++hK2zc7OdXwi969gXAFVGDEOmetHRz5aKcoXfvkyjMLdMz8EJIe6Wl5cXH330kdGfpy4LMtZFc/WHaF3qnLB//fXXHDp0iDFjxgAwcuRItm3bxocffthsI9ZRUVHVphWreixduhSApUuXsn37dl37F198kdTUVK5du8aVK1fYtm0bgwcPbpZYq+xdtZLj+/ehNjHhvj/PwcnDo1nPL4TeXU/YydiHiRpGzOyMo7slVwsq+O2LNMpK5YZAIYzB0qVLa1zTJDY2ltmzZzd/QHom/dH4qlaoz8vLq/Y8ICAAjab63wp7e3td/ge3/6CUnp5e7f4bJycnhg8fzqFDh5ronTS+OifskyZNumVbWFgYe/fuZevWrY0aVEuRvHcv+1avAmDYzEfw9PPXc0RC6MH1OnaKsiE3HXNLE8bM9sbKxpTL56+x6Zt0tFqZJ1u0LopGIXd7LtnfZ5O7PRdFY7z/D7i4uGBtLfdkVZH+aHynTp3im2++uevjbN68mczMTDZs2EBRURGjRo3SfTgwdHVO2Gvj5eXF3r17GyOWFuVixhk2fvUFAL3H3EvgoEF6jkgIPblexw5Axj4AbB0tGP2YNyamKtKT8onbkKXHAIVoXpdWXmKf1z4SByeSPCWZxMGJ7PPax6WVl5rsnKWlpfz5z3+mXbt2WFpa0r9/f2JjY3WvV41krlu3jqCgICwtLenbty9JSUm612fNmkV+fr5ulPKVV14Bbh3ZVKlUfP7559x7771YW1vj5+dHTEwMqampREVF0aZNG900y1XS0tIYO3Ysrq6u2NjY0Lt3bzZv3lyv97h9+3bCw8Np06YN9vb29OvXjzNnzuhe//TTT/H29sbc3Jzu3bvXOr3zjf1xYzKXkJCASqUiPT29Xv2RkZHB2LFjsbGxwdbWlgkTJpCdna17/ZVXXiEkJIRvv/0WLy8v7OzsmDRpEoWFhbd9v3v27CEqKgpra2scHBwYMWIEubm5QN1/3lu2bKFXr15YW1sTGRnJ8ePHAThx4gQqlYqUlJRq5/zwww/x9vbWPU9KSmLUqFHY2Njg6urKtGnTuHz5su4c5ubm7Nq1S9f+vffeo127dtXef108++yzLFy4sNrClg3h5OSEm5sbvXr1YtGiRWRnZ7N///67OmZzueuEHcDBwaExDtNilF69yq8f/5OK8nI6BwUz4KEJ+g5JCP2qKos5E6Pb5ObVhqiJHQGI3ZBJRnKBPiITolldWnmJow8epfRc9cSj9HwpRx882mRJ+4svvsjPP//MsmXLOHjwIF27dmXEiBHk5ORUa/fCCy/w/vvvExsbi4uLC9HR0ZSXlxMZGclHH32Era0tmZmZZGZm8vzzz9d6vtdff53p06eTkJCAr68vU6ZM4fHHH2fBggXExcWhKEq11dGLiooYPXo0W7Zs4dChQ4wcOZLo6Ohq96XdTkVFBePGjWPQoEEcPnyYmJgYZs+erZvSc9WqVcyZM4fnnnuOpKQkHn/8cWbNmsW2bdsa0JvUuT+0Wi1jx44lJyeHHTt2sGnTJk6dOsXEiROrtUtLS2P16tWsXbuWtWvXsmPHDt55551az5+QkMDQoUPx9/cnJiaG3bt3Ex0drSsbqevP+29/+xvvv/8+cXFxmJqa8sgjjwDg4+NDr169WL58ebX2y5cvZ8qUKQDk5eUxZMgQQkNDiYuLY/369WRnZzNhQmXOExUVxdy5c5k2bRr5+fkcOnSIv//973z55Ze4urrWq7/nzp1LRUUFH3/8cb32ux2r69Nql5UZx71UjZKwiz8oisL6L/5DXnY2bZ2cGPX4E6jU0s2ilbuhjp0blon3DXfCP9IZFNj07Wm5CVW0aIpGIXVOKtRU/XJ9W+rc1EYvjykuLubTTz/lH//4B6NGjcLf358vvvgCKysrvvrqq2ptFy5cyD333ENgYCDLli0jOzubVatWYW5ujp2dHSqVCjc3N9zc3LCxqX1RvlmzZjFhwgR8fHx46aWXSE9PZ+rUqYwYMQI/Pz/mzJlT7Z6z4OBgHn/8cXr06EG3bt14/fXX8fb25pdffqnTeywoKCA/P597770Xb29v/Pz8mDFjBh07Vg4KLFq0iJkzZ/LUU0/h4+PDvHnzGD9+PIsWLap/h0Kd+2PLli0cOXKE7777jp49e9KnTx+++eYbduzYUW3EW6vVsnTpUnr06MGAAQOYNm0aW7ZsqfX87733Hr169eLf//43wcHBBAQE8Mwzz+Ds7Fyvn/ebb77JoEGD8Pf3Z/78+ezdu5eSkhIApk6dyvfff69re+LECeLj45k6dSoA//rXvwgNDeWtt97C19eX0NBQvv76a7Zt28aJEycAeOONN3BwcGD27Nk8/PDDzJgxg/vuu6/e/W1tbc3ChQt5++23yc/Pr/f+N8vLy+P111/HxsbGaKYml0yykR3auIHU+DjUJiZEP/NnrNq21XdIQujfTXXsNxowvgMuHawoKdawcelptEZcyyvE7eTtyrtlZL0aBUrPlpK3K69Rz5uWlkZ5eTn9+vXTbTMzMyM8PJzk5ORqbSMiInT/dnR0pHv37re0qYugoCDdv6tGUwMDA6ttKykpoaCg8pu1oqIinn/+efz8/LC3t8fGxobk5OQ6j7A7Ojoyc+ZMRowYQXR0NIsXLyYzM1P3enJycrX3D9CvX78Gvbf6SE5OxtPTE09PT902f39/7O3tq53by8uLtjfkC+7u7ly8eLHW41aNsNekPj/vG39OVWvUVJ130qRJpKens29fZSnj8uXLCQsL0612n5iYyLZt27CxsdE9ql6rKncyNzdn+fLl/Pzzz5SUlPDhhx/W+p7u5NFHH8XJyYl33323wceIjIzExsYGBwcHEhMTWbFiRb1H+/VFEvZGdPncOXb+sAKAqClTcb+hzkuIVq2GOnbdS2ZqRj7SBXMrE7LSizm4WerZRctUllm3b5Dq2s6QmZmZ6f5dVZZS0zatVgvA888/z6pVq3jrrbfYtWsXCQkJBAYG1qtcYcmSJcTExBAZGcmKFSvw8fHRJZv1pb7+zbhywzeC5eXlDTpWXdzYN1DZP1V9UxOrRlol/XY/Ezc3N4YMGcJ3330HwHfffacbXYfKD1nR0dG69XGqHidPnmTgwIG6dlX3Oebk5NxSklMfpqamvPnmmyxevJgLFy406BgrVqwgMTGR3Nxc0tLSGD16dIPjaW6SsDcSTUUFv3/+KZrrdeshw+7Rd0hCGJYa6tir2DpZMPCBDgDErs/k4tmrzRmZEM3C3N28UdvVVdWNlnv27NFtKy8vJzY2Fn//6rOX3Zjg5ubmcuLECfz8/CrjMje/ZWq9xrJnzx5mzpzJ/fffT2BgIG5ubqSnp9f7OKGhoSxYsIC9e/fSo0cPXbLp5+dX7f1XnfPm91/FxcUFoNoofdWijVXq0h9+fn6cPXuWs2fP6rYdO3aMvLy8Ws9dF0FBQbWWzNTn530nU6dOZcWKFcTExHDq1KlqMwaGhYVx9OhRvLy86Nq1a7VHmzZtgMqR9r/85S988cUX9OnThxkzZtz2g8idPPTQQwQEBPDqq682aH9PT0+8vb1rnI7T0EnC3khiVq/i4pkzWLaxYfif/qT7pCqEuK6WOvYqPr0c8Q62R6uFzd+mU1HW8F/qQhgi+wH2WHSwgNr+PKjAwtMC+wH2jXreNm3a8OSTT/LCCy+wfv16jh07xmOPPcbVq1d59NFHq7V97bXX2LJlC0lJScycORNnZ2fGjRsHVJZtFBUVsWXLFi5fvszVq433wbpbt26sXLmShIQEEhMTmTJlSr0Su9OnT7NgwQJiYmI4c+YMGzdu5OTJk7oPGy+88AJLly7l008/5eTJk3zwwQesXLmy1htnu3btiqenJ6+88gonT55k3bp1vP/++9Xa1KU/hg0bRmBgIFOnTuXgwYMcOHCA6dOnM2jQIHr16lWPHqpuwYIFxMbG8tRTT3H48GFSUlL49NNPuXz5cr1+3ncyfvx4CgsLefLJJxk8eDAeN6wl8/TTT5OTk8PkyZOJjY0lLS2NDRs2MGvWLDQaDRqNhocffpgRI0Ywa9YslixZwuHDh2/px/p65513+PrrrykuvnW17PPnz98y4l81c46xk4S9EVzMOMOBtb8CMGzWLGzsZdYcIW5xmzp2qPw6dtCEjli1NSU3u4S4TVIaI1oWlYmKrou7Xn9y84uV/+n6UVdUJo0/4PPOO+/wwAMPMG3aNMLCwkhNTWXDhg23zPL2zjvvMGfOHHr27ElWVha//vor5uaVI/6RkZE88cQTTJw4ERcXF957771Gi++DDz7AwcGByMhIoqOjGTFiBGFhYXXe39rampSUFB544AF8fHyYPXs2Tz/9NI8//jgA48aNY/HixSxatIiAgAA+//xzlixZQlRUVI3HMzMz4/vvvyclJYWgoCDeffdd3njjjWpt6tIfKpWKNWvW4ODgwMCBAxk2bBhdunRhxYoVde+cGvj4+LBx40YSExMJDw8nIiKCNWvWYGpqCtT9530nbdu2JTo6msTExGrlMAAeHh7s2bMHjUbD8OHDCQwMZO7cudjb26NWq3nzzTc5c+YMn3/+OVBZI/+f//yHl19+mcTExAa/9yFDhjBkyBAqKipueW3RokWEhoZWe6xbt67B5zIkKkWpYahL6BQUFGBnZ0dedjp2dna3vK5otXz/xutkpp6kW+/e3PfsHD1Eeatzz/+Nwk1bcZ3/HI6TH9R3OPWiKAr5BUXY2doY1TcVEncdLJ9YOcI+6h0ImVxjk1OJefz+9SnUJiomvuiLo1vNtZrS383PWGPPz8/H3tWL/Px8bG1tG3yckpISTp8+TefOnbG0tGzwcS6tvETqnNRqN6BaeFrQ9aOuuIx3afBx78b27dsZPHgwubm5RlkuIIQxqs/vFBlhv0tHduwgM/UkZpaWDJ46Td/hCGHYblPHXqVzkB2d/G3RahR2/ngWGVMQLY3LeBf6pvcleFswft/5EbwtmL6n++otWRdCGD5J2O/CtcJCdv3wPwD6jX+Qto6Oeo5ICAN3hzp2qPwKeeCDnpiaqTifWsSJ+JZRfyjEjVQmKhyiHHCd7IpDlEOTlMEIIVoOSdjvwv5f1lBSXIyzpyeh98isMELc0R3q2KvYOlnQc7gbAPvWXqCiXG5AFaIpRUVFoSiKlMMIYaAkYW+g/EuXSNiyGYBBEyejNjHRc0RCGIHbzMd+s5AoV9rYmVGUW0bS7qZZrl0IIYQwBpKwN9Cen39CU1FBR/8AOt2wepsQ4g7qUMcOYGquJnx05cp7cRuzKL1664wAQgghRGsgCXsD5GZlkRxTuXLXwImTjGq2BCH0rg517FV8w51wdLOk9KqGI7tklF0IIUTrJAl7A8SuWwuKQpeQUFw7d9Z3OEIYlzrWsQOo1SpdLXvijkuUy2JKQgghWiFJ2OupMCeHo7t3ARB+b7SeoxHCCNWjjh2ga4gDtk7mlBRXkLzvchMHJ4QQQhgeSdjrKWHzJrQaDe27d6e9j4++wxHCONWxjh1AbaIidIgrAAnbLqJoZV52IYQQrYsk7PWgqaggaecOAMKGj9BzNEIYsXrUsUNlLbuFlQmFOWWcPV7YxMEJIYQQhkUS9npIO3SQqwUFWNvZ4R0apu9whDBe9ahjh8oZY3x6Vy5MdnSvlMUIIYRoXSRhr4cjO7YD0GPgQExMTfUbjBDGrJ517AABEc4ApCflcbWgvKkiE0IYuLNnzxIVFYW/vz9BQUH8+OOP+g5JiCYnCXsdXSsu4kxSEgA9BgzSczRCtAD1qGMHcPKwol1Ha7RaOHU4r+niEkIYNFNTUz766COOHTvGxo0bmTt3LsXFxfoOS4gmJQl7HZ1OSETRanHp2AkHNzd9hyOE8atnHTuAd4gDAGmJeU0UlBAt25UrV2jXrh3p6en6DqXOJk2axPvvv6977u7uTkhICABubm44OzuTk5Ojp+iEaB6SsNdR6sF4AHx699ZzJEK0EPWsYwfwDrYH4HxqIdeKZOVTIerrzTffZOzYsXh5eek7FAB27txJdHQ0Hh4eqFQqVq9efUubl19+mTfffJP8/PxbXouPj0ej0eDp6dkM0TafuvQLwKxZs3j55ZcBePvtt+nduzdt27alXbt2jBs3juPHjzdj1KIpScJeR+ePpwDQrZck7EI0igbUsds5W+DU3gpFC2dTCpowOCFanqtXr/LVV1/x6KOP6jsUneLiYoKDg/nkk09qbdOjRw+8vb3573//W217Tk4O06dP5z//+U+N+129erVRY71bUVFRLF26tE5t69IvGo2GtWvXct999wGwY8cOnn76afbt28emTZsoLy9n+PDhUi7UQkjCXkeaigpsHBxw9PDQdyhCtBz1rGMH8OzeFoDzqUVNEZEQLdZvv/2GhYUFffv21W37/vvvsbKyIjMzU7dt1qxZBAUF1Tii3dhGjRrFG2+8wf3333/bdtHR0fzvf//TPS8tLWXcuHHMnz+fyMjIGvd57bXX6NatG3PmzGHDhg2UlpbWOS5j6Je9e/diZmZG7+vf/K9fv56ZM2cSEBBAcHAwS5cuJSMjg/j4+CaPVzQ9SdjrwdPPD5VKpe8whGg5GlDH3r7r9YT9pMzHLvRPURTKS0r08lDq+P9MlV27dtGzZ89q2yZNmoSPjw9vvfUWAAsXLmTz5s38/vvv2NnZNVo/3a3w8HAOHDhAaWkpiqIwc+ZMhgwZwrRp02rd56WXXuK1117jypUrTJ06FUdHR+677z4+++wzMjIybns+Y+iXX375hejo6FrzkqoPFo6Ojs0ZlmgiMjdhPXTw9dN3CEK0LDfXsTt2vuMuHt42qNRQcKWMqwUV2Nk2fZhC1KaitJR/znhQL+f+87KfMLO0rHP7M2fO4HHTt8QqlYo333yTBx98EDc3Nz7++GN27dpF+/btGzvcu+Lh4UFZWRlZWVmcPXuWFStWEBQUpKvt/vbbbwkMDKy2j4ODA5MnT2by5MlotVr27dvHunXr+PTTT3nyyScJCAhg48aNt/QJGEe/rFmzhg8//LDG17RaLXPnzqVfv3706NGjmSMTTUFG2OvB3burvkMQomVpQB27uaUJDq6VSUpOZklTRSZEi3Pt2jUsa0jw7733Xvz9/XnttddYtWoVAQEBQN3nO58/fz4qleq2j5SUlLuK3crKCqisS+/fvz9arZaEhATd4+Zk/WaFhYVcuHCBzMxMLl26hJWVFZ06dcLMzKzWfWrrF4D7778fBwcHHnyw9g9rb731FjY2NrrHrl27eOKJJ6ptu9NIf22Sk5O5cOECQ4cOrfH1p59+mqSkpGplRMK4yQh7HalNTHB0d9d3GEK0PB37VibrZ2IgZHKddnHysCIns4S8rLImDk6I2zO1sODPy37S27nrw9nZmdzc3Fu2r1+/npSUFDQaDa6urn8c//p85yEhIWRlZdGzZ09Gjx5NmzZtqu3/3HPPMXPmzNueu0uXLvWK9WZV0za6uLjUeZ/Tp0/zww8/8Ntvv7F37146derEqFGj+Oqrrxg8eHCNH15uVFu/AMyZM4dHHnmEZcuW1br/E088wYQJE3TPp06dygMPPMD48eN122oa3a+LX375hXvuuafG9/DMM8+wdu1adu7cSYcOHRp0fGF4JGGvI0d3D1ndVIimcHMdex3uE3Fub8XJ+Fxys+t+E5kQTUGlUtWrLEWfQkNDb5lp5eDBg0yYMIGvvvqKpUuX8ve//103ku7u7o779YGqG+c7vzlhd3FxqVci3RBJSUl06NABZ2fnOu+zdOlS9uzZw9ixY/n888/x9fWt87636xeonPFl+/bttz2Go6NjtfpxKysr2rVrR9eud/9t/Zo1a5g9e3a1bYqi8Oyzz7Jq1Sq2b99O5853LjEUxkMy0Dqyb9dO3yEI0TI1oI7d3qUyQSrOLW/i4IRoOUaMGMGCBQvIzc3FwcGB9PR0xowZw1//+lcmT55Mly5diIiI4ODBg4SFhVXbt6nmOy8qKiI1NVX3/PTp0yQkJODo6EjHjh1123ft2sXw4cPrdexnnnmGyZP/+NauprKcLl26YG5uXm1bffqlqdyuXywtLYmLi+OXX36pts/TTz/Nd999x5o1a2jbti1ZWVkA2NnZ6UqKhPGShL2ObOQuayGaRlUde8a+ykcdEva2DpV/YIvzZfEkIeoqMDCQsLAwfvjhBx566CFGjhzJ2LFjmT9/PgB9+vRh1KhR/PWvf2X9+vW6/armO//iiy8aPaa4uDgGDx6sez5v3jwAZsyYoZuzvKSkhNWrV1eLqS7ef/993n333du2SU5OrjbynpOTU+d+aUq365cBAwYQHh5+y7cNn376KVA5+n+jJUuW3LFkSRg+SdjryJgSdo1Gw8VLl7ECTqam0UujwcTERN9htWgajYadu/aSfekKri5ODBwQKX1eH/WsY7dxqLxRrKRIg6ZCi6mZ9LUQdfF///d/vPDCCzz22GM1jjivW7eu2vO6zHd+N6Kiou44PeWSJUsIDw+vNn98Xbzzzju888479drH0dGxTv3SEHcqobnR7frlvvvu0y2WdKP6TvMpjItRzRJT16V6b7R9+3bCwsKwsLCga9eudV5l7GZWNm0btF9zW7n6V7x8gtixaw8A//z353j5BLFy9a96jqzlqurzYaPH8fIrbzBs9Djp8/qq53zslm1M4Xqpe+k1TRMGJkTLMmbMGGbPns358+fv2Lau8503NTMzMz7++GO9nd/Q9O/fv1qpj2gdjCphr8tSvTc6ffo0Y8aMYfDgwSQkJDB37lz+9Kc/sWHDhnqf28yyfnfj68PK1b/y4OQZnDt/odr28xcyeXDyDEkgm4D0eSO5uY79DlQqFWbmlb++yku1TRycEC3L3Llz61SLvmfPHlasWMHq1asJCQkhJCSEI0eONEOE1f3pT3+ie/fuzX7e2xk2bBgPPfQQv/32Gx06dCAmpu6rNd+tF198sdHvJRCGz6hKYkaNGsWoUaPq3P6zzz6jc+fOvP/++wD4+fmxe/duPvzwQ0aMGFGvc5tbGPYNGxqNhjnPza/xKzFFUVCpVMx9fgFjo0dLqUYjkT5vRA2oYzezUFNeqqW8VEbYhWgKVfOdi1tt3rxZ3yGIVsaoEvb6iomJYdiwYdW2jRgxgrlz59a6T2lpKaWlf0wVV1BQAIDKRG3Q9WE7d+3lQmYWanXlqGPVzHgqlVq37fyFTHbu2kvUoP76CrNOFEXRPQzZzX2uVqtRqVS652AcfW4w/e3ZB1XGPpQzMRA86Y7N1SaVF7mmwgBirweD6e8GMNbYjS1eIYS4WYtO2LOysm5Z7MDV1ZWCggKuXbtW4zRHb7/9Nq+++uot24sKi8gvKGqyWO9W9qUr1eZcbaOuHNF1cnKks4N9tXaG/D6g8o9rUfE1oLL0wVDd3OcqlUq3bPWNCYKh97mh9LepczA2gHImhoL8wjvOx66pqBz5u1pyjfwC40nIDKW/G8JYY88vLNZ3CEIIcVdadMLeEAsWLNBNnwSVI+yenp5YmpthZ2ujx8huz9XFidOnT+ueF7u7g01brlzJ4XRebrV2hvw+4I9k187WxqCTgpv7vGpkPT09vdrXyIbe5wbT39aRKCbmqIsvYqe5fMeyGOV6F9vatsHO1rBL1m5kMP3dAEYbuyJlU0II49aiE3Y3Nzeys7OrbcvOzsbW1rbWRQQsLCywqGG554qyUoP+AzVwQCQe7m6cv5B5/Svryu2KokWr1aJSqejQ3oOBAyIN+n1UUalUuoehurnPoTKh0WqNr88Nor/NrKB9GGTsQ3V2PzjVvpS5oihUlFVm7GbmaoPv35sZRH83kDHGbkyxCiFETYxqlpj6ioiIYMuWLdW2bdq0iYiIiHof61qR4ZY0AJiYmLD4/cr5Zm/+41T1/KNFb8vNj41I+rwJVE3veOb2My6Ul2qpKK/8kGRl06LHHYQQQgjjStiLiopISEggISEB+GOp3oyMDKCynGX69Om69k888QSnTp3ixRdfJCUlhX//+9/88MMP/OUvf6n3ua/mFzTKe2hK48dF89P3y2jv4V5te4f2Hvz0/TLGj4vWU2Qtl/R5I6vjfOxXC8sBMDVXYWYhH4iEEEK0bEY1NHWnJYwzMzN1yTtA586dWbduHX/5y19YvHgxHTp04Msvv6z3lI4ARXl5dx1/cxg/Lpqx0aNJfOQpSDjMn596nG/++ryM8jahqj6XlU4bwc3zsddSx16cX5mwW8rouhBCiFbAqP7a3WkJ45pWMY2KiuLQoUN3fe68i1l3fYzmYmJiQjsXZwqBbl29JXFsBiYmJkQN6k9+QZHx3ZBnSOo4H3vexcqpV22dzJozOiGEEEIvjKokRp9ys7Lv3EgIcffqUMeem10CgK2zeXNEJIQQQuiVJOx1dK0gn6sFhl/HLoTRq0Mde05m5Vzgti6SsAuhb15eXnz00UdGfx6VSsXq1avv+jjN1R+idZGEvR4y01L1HYIQLd/Ndew30WoVss9ULoTj3MGymYMTovVaunQp9vb2t2yPjY1l9uzZzR+Qnkl/GK/t27ejUqnIu35/YtXzgIAANJrq6zbY29tXK7m+3Qey9PT0alPfOjk5MXz48EYpzZaEvR4unDyp7xCEaPmq6tihcpT9JrlZJZSVaDGzUGPXTkbYhXHSaDVsT9/O90e+Z3v6djRa413cycXFBWtra32HYTCkP4zXqVOn+Oabb+76OJs3byYzM5MNGzZQVFTEqFGjdB8OGkoS9no4d/y4vkMQonW4TR175qnKNRFcO1mjVsvNvcL4rExeiddiLwYvG8yUlVMYvGwwXou9WJm8ssnOWVpayp///GfatWuHpaUl/fv3JzY2Vvd61QjjunXrCAoKwtLSkr59+5KUlKR7fdasWeTn5+tGD1955RXg1hFHlUrF559/zr333ou1tTV+fn7ExMSQmppKVFQUbdq0ITIykrS0NN0+aWlpjB07FldXV2xsbOjduzebN2+u13vcvn074eHhtGnTBnt7e/r168eZM2d0r3/66ad4e3tjbm5O9+7d+fbbb297rBtHYAESEhJQqVSkp6fXqz8yMjIYO3YsNjY22NraMmHChGqLOr7yyiuEhITw7bff4uXlhZ2dHZMmTaKwsLDW+KpG9zds2ICfnx82NjaMHDmSzMxMXRutVstrr71Ghw4dsLCwICQkhPXr1+terxoNXrlyJYMHD8ba2prg4GBiYqr/3t2zZw9RUVFYW1vj4ODAiBEjyM2tXEG9rtfVli1b6NWrF9bW1kRGRnL8ej514sQJVCoVKSkp1c754Ycf4u3trXuelJTEqFGjsLGxwdXVlWnTpnH58mXdOczNzdm1a5eu/XvvvUe7du1uWTzzTp599lkWLlxIaWlpvfa7mZOTE25ubvTq1YtFixaRnZ3N/v377+qYkrDXQ2ZaKiXFxfoOQ4iW7zZ17GeO5QPg0bVtc0clxF1bmbySB394kHMF56ptP19wngd/eLDJkvYXX3yRn3/+mWXLlnHw4EG6du3KiBEjyMnJqdbuhRde4P333yc2NhYXFxeio6MpLy8nMjKSjz76CFtbWzIzM8nMzOT555+v9Xyvv/4606dPJyEhAV9fX6ZMmcLjjz/OggULiIuLQ1EUnnnmGV37oqIiRo8ezZYtWzh06BAjR44kOjq62lTNt1NRUcG4ceMYNGgQhw8fJiYmhtmzZ+tm7Fq1ahVz5szhueeeIykpiccff5xZs2axbdu2BvQmde4PrVbL2LFjycnJYceOHWzatIlTp04xceLEau3S0tJYvXo1a9euZe3atezYsYN33nnntjFcvXqVRYsW8e2337Jz504yMjKqxbB48WLef/99Fi1axOHDhxkxYgT33XcfJ2+qFvjb3/7G888/T0JCAj4+PkyePJmKigqg8kPK0KFD8ff3JyYmht27dxMdHa0rG6nrdfW3v/2N999/n7i4OExNTXnkkUcA8PHxoVevXixfvrxa++XLlzNlyhQA8vLyGDJkCKGhocTFxbF+/Xqys7OZMGECUDkb4Ny5c5k2bRr5+fkcOnSIv//973z55Ze4urretg9vNnfuXCoqKvj444/rtd/tWFlZAVBWVnZXx5GEvY4c3T1QtFpOH07UdyhCtHy11LGXl2k5e6Jy1Mmrh52eghOiYTRaDXPWz0Hh1pupq7bNXT+30ctjiouL+fTTT/nHP/7BqFGj8Pf354svvsDKyoqvvvqqWtuFCxdyzz33EBgYyLJly8jOzmbVqlWYm5tjZ2eHSqXCzc0NNzc3bGxsaj3nrFmzmDBhAj4+Prz00kukp6czdepURowYgZ+fH3PmzGH79u269sHBwTz++OP06NGDbt268frrr+Pt7c0vv/xSp/dYUFBAfn4+9957L97e3vj5+TFjxgw6duwIwKJFi5g5cyZPPfUUPj4+zJs3j/Hjx7No0aL6dyjUuT+2bNnCkSNH+O677+jZsyd9+vThm2++YceOHdVGorVaLUuXLqVHjx4MGDCAadOm3bJS+83Ky8v57LPP6NWrF2FhYTzzzDPV9lm0aBEvvfQSkyZNonv37rz77ruEhITcUn/9/PPPM2bMGHx8fHj11Vc5c+YMqamV9+y999579OrVi3//+98EBwcTEBDAM888g7Ozc72uqzfffJNBgwbh7+/P/Pnz2bt3LyUllbN9TZ06le+//17X9sSJE8THxzN16lQA/vWvfxEaGspbb72Fr68voaGhfP3112zbto0TJ04A8MYbb+Dg4MDs2bN5+OGHmTFjBvfdd9+dfoy3sLa2ZuHChbz99tvk5+fXe/+b5eXl8frrr2NjY0N4ePhdHUsS9jryCgoC4FQj3DgghLiDWurYz58oRFOuYGNvhpO73HAqjMuujF23jKzfSEHhbMFZdmXsqrVNQ6SlpVFeXk6/fv1028zMzAgPDyc5Obla24iICN2/HR0d6d69+y1t6iLo+t9MQDfKGRgYWG1bSUkJBddnXysqKuL555/Hz88Pe3t7bGxsSE5OrvMIu6OjIzNnzmTEiBFER0ezePHiauUhycnJ1d4/QL9+/Rr03uojOTkZT09PPD09ddv8/f2xt7evdm4vLy/atv3jW0N3d3cuXrx422NbW1tXKxu5cZ+CggIuXLhQp/d848/K3b1y1e6q41SNsNekPtfV7c4xadIk0tPT2bev8nf98uXLCQsLw9fXF4DExES2bduGjY2N7lH1WlVZlbm5OcuXL+fnn3+mpKSEDz/8sJZeu7NHH30UJycn3n333QYfIzIyEhsbGxwcHEhMTGTFihX1Hu2/mSTsddQ5OBiAtEMHKS8t0XM0QrQCNdSxnzxY+TVr50B7WZxKGJ3Mwsw7N6pHO0NmZvbHomZV/6/WtE2r1QKVo7yrVq3irbfeYteuXSQkJBAYGFivMoIlS5YQExNDZGQkK1aswMfHR5cE1pdaXZke3bhYY3l5eYOOVRc39g1U9k9V39Rnn9stLlmX49z8c6kq57hbtzuHm5sbQ4YM4bvvvgPgu+++042uQ+WHuejoaBISEqo9Tp48ycCBA3Xt9u7dC0BOTs4tJTn1YWpqyptvvsnixYu5cOFCg46xYsUKEhMTyc3NJS0tjdGjRzc4niqSsNeRW+cu2LdrR3lpKSfj4vQdjhAt30117GUlGk4dzgPAp5ej/uISooHc27o3aru6qrrRcs+ePbpt5eXlxMbG4u/vX63tjQlubm4uJ06cwM/PD6gcxbx5yrvGsmfPHmbOnMn9999PYGAgbm5upKen1/s4oaGhLFiwgL1799KjRw9dEujn51ft/Ved8+b3X8XFxQWg2ih9QkJCtTZ16Q8/Pz/Onj3L2bNndduOHTtGXl5ereduDLa2tnh4eNTrPdckKCio1tKc+lxXdzJ16lRWrFhBTEwMp06dYtKkSbrXwsLCOHr0KF5eXnTt2rXao02bNkDlSPtf/vIXvvjiC/r06cOMGTPu+IHndh566CECAgJ49dVXG7S/p6cn3t7eNU772VCSsNeRSqXCv/8AAI7uatyvK4UQNbipjj01IZeKcgX7dha4dpIp04TxGdBxAB1sO6Ci5m+HVKjwtPVkQMcBjXreNm3a8OSTT/LCCy+wfv16jh07xmOPPcbVq1d59NFHq7V97bXX2LJlC0lJScycORNnZ2fGjRsHVJZtFBUVsWXLFi5fvszVq1cbLcZu3bqxcuVKEhISSExMZMqUKfVKuE6fPs2CBQuIiYnhzJkzbNy4kZMnT+o+bLzwwgssXbqUTz/9lJMnT/LBBx+wcuXKWm+c7dq1K56enrzyyiucPHmSdevW8f7771drU5f+GDZsGIGBgUydOpWDBw9y4MABpk+fzqBBg+jVq1c9eqj+XnjhBd59911WrFjB8ePHmT9/PgkJCcyZM6fOx1iwYAGxsbE89dRTHD58mJSUFD799FMuX75cr+vqTsaPH09hYSFPPvkkgwcPxsPDQ/fa008/TU5ODpMnTyY2Npa0tDQ2bNjArFmz0Gg0aDQaHn74YUaMGMGsWbNYsmQJhw8fvuXnVV/vvPMOX3/9NcU1TDZy/vz5W0b8q2bOaSqSsNeDf7/+AGQkHyM3K0vP0QjRwt1Ux35sb+UUXr7hTlIOI4ySidqExSMXA9yStFc9/2jkR5ioTRr93O+88w4PPPAA06ZNIywsjNTUVDZs2ICDg8Mt7ebMmUPPnj3Jysri119/xdy8cr2DyMhInnjiCSZOnIiLiwvvvfdeo8X3wQcf4ODgQGRkJNHR0YwYMYKwsLA6729tbU1KSgoPPPAAPj4+zJ49m6effprHH38cgHHjxrF48WIWLVpEQEAAn3/+OUuWLCEqKqrG45mZmfH999+TkpJCUFAQ7777Lm+88Ua1NnXpD5VKxZo1a3BwcGDgwIEMGzaMLl26sGLFirp3TgP9+c9/Zt68eTz33HMEBgayfv16fvnlF7p161bnY/j4+LBx40YSExMJDw8nIiKCNWvWYGpqCtT9urqTtm3bEh0dTWJiYrVyGED3TYFGo2H48OEEBgYyd+5c7O3tUavVvPnmm5w5c4bPP/8cqKyR/89//sPLL79MYmLDJwoZMmQIQ4YM0c2Yc6NFixYRGhpa7bFu3boGn6suVEpDCp5akYKCAuzs7MjLTsfOzo6V7/+D04mJhAy7h6HTZ+g7vFqde/5vFG7aiuv853Cc/KC+w6kXRVHILyjCztbGqBIzibsJ7PoQdn9EVvs/8XP8GNQmKma80gNrWzPDjvs2jDVuMN7Y8/PzsXf1Ij8/H1tb2wYfp6SkhNOnT9O5c2csLRt+0/PK5JXMWT+n2g2onraefDTyI8b7jW/wce/G9u3bGTx4MLm5uY36Nb4Qonb1+Z1i2kwxtRg9R4zidGIiR3ftpN8DD2J5vX5KCNEErtexJxx3Aypr161tzW63hxAGb7zfeMZ2H8uujF1kFmbi3tadAR0HNMnIuhCiZZCEvZ46BgTg7OnJ5bNnSdy6hT7R9Z/nUwhRR+1DyVc6cqooBICQqHb6jUeIRmKiNiHKK0rfYQghjITUsNeTSqWi9+gxAMT9to7SRrzpRghxE1NLYiseQ8GEju2LcPJonCnGhBDVRUVFoSiKlMMIYaAkYW8A34hIHD08KCkuJn797/oOR4gWKyfrGsevBADQx71hS4gLIYQQxk4S9gZQq9X0G195I2f8+t+5Wlio54iEaJkO/J4JqOhisY92eetA7pEXBkDmahBCNIb6/C6RhL2BuvXqhUvHTpSVlLD355/0HY4QLc6FtCLSEvJABeF2P+vmYxdCX6pWa2zM+ceFEK1X1e+Sm1etrYncdNpAKrWawVOn8sPbb3F421YCowbj6uWl77CEaBG0GoWdP1WuDOgf4YxThTNkpFaueurYWc/RidbKxMQEe3t7Ll68CFTO/W1M01sKIQyDoihcvXqVixcvYm9vj4nJnWeIkoT9Lnj6+dO9b1+O79vH1m+XMenl/5Nf3kI0gqN7L3PlwjUsrE3oO8YDDvWtTNbPxEDIZH2HJ1oxN7fKKUarknYhhGgoe3t73e+UO5GE/S4NmjSZtIOHuHDyJEk7dxI4aJC+QxLCqBXnl7N/3QUA+oz2wMrGVDcfOxn7KuvY5YOx0BOVSoW7uzvt2rWjvLxc3+EIIYyUmZlZnUbWq0jCfpfaOjoRef/97FzxP7Z/91+8AnvQ1tFJ32EJYZQURWH7DxmUXtPg4mlNQD/nyhfah4KJxR917FIWI/TMxMSkXn9shRDibshNp42g58hRuHt7U3btGhu//kpmEBCigU7E5ZCelI/aRMXQKZ1Qq6+PpJtaVibtUDnKLoQQQrQikrA3ArWJCSMeexwTMzPSDx8maecOfYckhNEpzi9j18/nAOg90v3WRZKqymLOxDRzZEIIIYR+ScLeSJw8POg3/gEAtv33W65cuKDniIQwHlqtwqZv0im9pqGdpzVhQ11vbXRzHbsQQgjRSkjC3oh6jhpNR39/yktLWfvJx5SXlek7JCGMQuz6TM6nFmFqrmbYNC/UJjXcVHpzHbsQQgjRSkjC3ojUajWjn3gKazs7Lp89y7b/fqvvkIQweGePFxC3MQuAqIkdcXC1rLmh1LELIYRopSRhb2Rt7O0Z/cSToFJxZPs2ju3Zre+QhDBYRXllbPo2HRTwj3Ciey/H2+8gdexCCCFaIUnYm0CngB5EjB0HwMavvyIzLVW/AQlhgMrLtPz+5SmuFVbg5G5J//Ged95J6tiFEEK0QpKwN5GIcffjHdYTTXk5az76kMKcK/oOSQiDoSgKW787w8WzV7FsY8Lox7wxM6/DryOpYxdCCNEKScLeRFRqNaMffwJnT0+K8/NZ/dGHlJeW6jssIQxC/MYsUg/lolbDyEe6YOtkUbcdpY5dCCFEKyQJexMyt7Ji3Nx5WLVty8X0dNZ9+m+0Go2+wxJCr07E5bD/t0wABj7UkfZd29bvADeWxQghhBCtgCTsTczOxYX7/jwHEzMz0g7Gs3nZUlkJVbRaGSkFbFmeDkDwoHYERDrX/yBSxy6EEKKVkYS9GXTo7suYJ55CdX3mmL0rf9Z3SEI0u+wzxfz+1Sm0WugW5kC/ce0bdqDrdeyqomzU+RmNG6QQQghhgIwuYf/kk0/w8vLC0tKSPn36cODAgVrbLl26FJVKVe1haVnLHM9NrFvv3gybOQuAfWtWc2jzJr3EIYQ+5F0sYe3naVSUafHs3pahUzuhUtewOFJd3FDHbnohthGjFEIIIQyTUSXsK1asYN68eSxcuJCDBw8SHBzMiBEjuHjxYq372NrakpmZqXucOXOmGSOuLmjwECLHPwDA1m+WcXj7Nr3FIkRzybtUwup/naSkuIJ2ntaMfKQLJqZ3+avnelmM6XlJ2IUQQrR8RpWwf/DBBzz22GPMmjULf39/PvvsM6ytrfn6669r3UelUuHm5qZ7uLq6NmPEt+o7dhw9R4wEYNOSr0nauUOv8QjRlPIvl7LmXycpzi/H0c2Se5/wxtzS5O4PXJWwX4iVOnYhhBAtnqm+A6irsrIy4uPjWbBggW6bWq1m2LBhxMTUvuphUVERnTp1QqvVEhYWxltvvUVAQECt7UtLSym9YfrFgoICoHLe6Ma6WXTg5ClotVoObdrIhq++BJWKgP4DGuXYN1NovLibS1VfS9zNo6niLrhSyuqPT1KUV46DqyX3Pd0VyzamjXMejxAwMUddfBFtzmlw6nL3x2wmxnqdgPHGbmzxCiHEzYwmYb98+TIajeaWEXJXV1dSUlJq3Kd79+58/fXXBAUFkZ+fz6JFi4iMjOTo0aN06NChxn3efvttXn311Vu25xcWg6oRRgavC40eR0lJKcm7drDhyy+4dq2Ubn36Ntrxy8vLAbhWUkp+QVGjHbc5KIpCUfE1oPIbEmMhcf+hKLeczUvOUZxXga2zGYOnu1OulJJf0HhrEbRxDcLsQhzXTuygPKBdox23qRnrdQLGG3t+YbG+QxBCiLtiNAl7Q0RERBAREaF7HhkZiZ+fH59//jmvv/56jfssWLCAefPm6Z4XFBTg6emJXds22NnaNGp8Ix99FHMzUxK3bmHnf5dhgkLoPfc0yrGLzMwoAawsLRo97qZWNRpmZ2tjVEmBxF0pJ/Mam746zdWCCuxdLBj7TDfa2Jnd9XFv0bkfXIjD+lIC2M5q/OM3EWO9TsCIY1dk/QshhHEzmoTd2dkZExMTsrOzq23Pzs7Gzc2tTscwMzMjNDSU1NTUWttYWFhgYXHrqotVs8w0JpVKxdDpMzAxNeXgxg1s++83lF4tpu/YcY12LhWNH3dzuHFmH2PS2uPOSi9m7eeplF7V4OhuyX1PNlGyDigd+8KexZCxDxWAEfW5sV4nYJyxG1OsQghRE6O56dTc3JyePXuyZcsW3TatVsuWLVuqjaLfjkaj4ciRI7i7uzdVmPWmUquJmvqwbvaYvSt/Zvt3y1G0Wj1HJkT9nD1ewJpPTlJ6VYOrVxvuf9anyZJ1ANqHopiYoyrKhtz0pjuPEEIIoWdGk7ADzJs3jy+++IJly5aRnJzMk08+SXFxMbNmVX4dPn369Go3pb722mts3LiRU6dOcfDgQR5++GHOnDnDn/70J329hRqpVCoixt3P4IenAXBww3rWf/EfNBUVeo5MiLpJS8itNs/6fU9V3mDapEwt0bgGVf47Y1/TnksIIYTQI6MpiQGYOHEily5d4v/+7//IysoiJCSE9evX625EzcjIQK3+4zNIbm4ujz32GFlZWTg4ONCzZ0/27t2Lv7+/vt7CbYUNH4GFtTUbvvyCY3t2U5SbQ/Szc7Bs00bfoQlRI0VRSNh2kb2/nAcFugTZM3yG193Ps15HFR69Mb0QB2diIGRys5xTCCGEaG4qRea7uq2CggLs7OzIy07Hzs6uWc55OjGRXz/5mPKSEhw9PBj/3AvYubjU6xjnnv8bhZu24jr/ORwnP9hEkTYNRVHILygyuhvbWlvcWo3Czp/OcnTvZQACB7jQf3wH1A1dwbSeFEWhOHkrNmseARtXeGa/UdSxG+t1AsYbe35+PvauXuTn52Nra6vvcIQQot6MqiSmtegcHMykl/+OjYMDORcu8N2rC8lMS9N3WELolJVoWPdFWmWyroL+93dg4IOezZasV6lwDUYxMQepYxdCCNGCScJuoNp17MSUha/i0rETVwsK+OHtNzlx4IC+wxKCgpxSVi4+QUZyAaZmKkY92oXgKD3Ng25qAR6hlf+WOnYhhBAtlCTsBqytoyOT/vYynYODqSgr49d//ZPdP/6AVmaQEXpy7mQhPy46zpUL17Bqa8r9f/ahS6C9foPqeH3BsTO1r3gshBBCGDNJ2A2cuZUV4+bOo+eo0QDs//UXVn/wPiXFsnKfaD6KopC4/SK//PskJcUVuHSw4qF5vrTraAA3RFcl7Bn7QG7JEUII0QJJwm4E1CYmRE2ewugnnsLUzIzThxP57pWFXDl/Xt+hiVagokzLluVn2L3qHIoWuvd2ZPyc7rR1NNd3aJXah4KJhdSxCyGEaLEkYTcifpGRTPr7QmydncnNzmL5qws5ESt17aLpFFwpZeU/T3A8NgeVuvLm0qFTO2FqbkC/OkwtK5N2kDp2IYQQLZIB/dUVdeHq5cXUV1/H08+f8pISfv34n2z5ZhkV5eX6Dk20MKcO5/HDP1K4dPYqlm1MuO+pbgRHtTPM6fykjl0IIUQLJgm7EbJu25YHX3yJ3mPuBSBh8yb+9/pr5GVn6zky0RJoKrTsWnmW3786Rek1Da6drHnoeV86dGur79BqJ3XsQgghWjBJ2I2U2sSEgRMncf9zz2NpY0N2+mm+/b+XOX5gv75DE0as4ErllI2Hd1wCIGRwO+7/sw+2jhZ6juwOpI5dCCFECyYJu5HrEhzC9DfexKObD2XXrrH2Xx+zeekSKhSZ+lHUT1piHiv+kcLFjKtYWJsw+rEu9BvXARNTI/g1IXXsQgghWjAj+Ess7qStoxMT//o3wqOjAUjcuoVNOVkUWBrILB7CoJWVaNi3OpsNS05Tdk2Dm1cbJr7gR+ce9voOrX6kjl0IIUQLZarvAETjUJuYMOChiXTo7sv6L/5DQX4+e7p1oOTUSQZotajV8tlM3CrzdBGbv02n4EoZqCBsiCvhYzwwMTHAG0vv5OY6dkO8OVYIIYRoAMniWpjOQcHMePNt2ptboahVxB0/yg+vvEj+hVP6Dk0YEI1GYd+6C6xafIKCK2W0sTdl3DPdiLivvXEm6yB17EIIIVosSdhbIGtbW/rZuRB49iKmahXn07P45pU3OLrtNxSZQaPVy80u4ecPjxO/MQtFAZ9eDox+qiMe3jb6Du3uSB27EEKIFkoS9hZKpVLhmVPIff5euHdwoaykjPVLvuOXj/5B0cUz+g5P6IFWq3BoazYr/pHMpbOVN5aOmNmZYQ97YW5pou/wGofUsQshhGiBpIa9hbO1NGfCjOHE7kli387DpB46zNnkFAZPm45//0GGuQiOaHQ5WdfY+t0Zss9cBcCze1uGTOmEjb15y/rWRerYhRBCtECSsLcCahMT+gwIoku3Dmz8NYaLWTms/+JLUmL2cs+jj2Pr5KTvEEUT0WgUDm3JInZ9FlqNgrmlmn7jOuDX16llfli7uY7dsbO+IxJCCCHumpTEtHRVOZlKhYu7E5P/NJp+Q0IxMVGTnnSMZfOfJ+GXpS1rlFUAcOncVX56P4X96zLRahQ6+dsyeYE//hHOLTNZB6ljF0II0SLJCHuLp/ojaQfUajXh/QPx7u7Jpl/2knn+Mlt+2syJxJPc89izOLi56S9U0SgqyrTEbcri0OYstFqwsDZhwAOe+PR0aLmJ+o069q1M1s/EQMhkfUcjhBBC3DVJ2FuFqiRN0f3TycWeCbNGknAghT1bD3H25BmW/XU+4SOH0Dt6HGZWtnqLVjRcRnIBO37MqJxXHfAOtmfgg55Y25rpObJmJHXsQgghWhhJ2Fs6leqPhOXGqheVgtpETViEP118PNn62z7OnMokZu1Gkg/EM3TGI3gFBuslZFF/xfll7F51jtRDeQC0sTNjwAMd8A520G9g+iB17EIIIVoYSdhbg5pGGG9I3u2d2nL/w8M4cewMO9bHknfxCj//4x/4RkQSNXkKbeztmy1UUT9arULS7kvsW3uB8lItKjUEDWxH+Cj3ljNVY31V1bFn7Kt8SMIuhBDCyEnC3prUVhqgVM7b3j2gM17eHuzdlkBi7HFSYvZy+lAc/SdMJGjIPajVco+yIbmYUcz2H85y6WzlVI2unawZNKEjLh2s9RyZAZA6diGEEC2IJOwtner64+ZJYHRlMkq1f1tYWjB4VB/8gruwZe1+LmZeYcs333JkywaiJozDM3RgMwYvanK1sJz96y5wbN8VUMDcyoSIez0IiHRGpZZ6bUDq2IUQQrQokrC3eNczdtUNGXu1WvaaExk3Dxcm/2k0ibEpxGxL4OL5i/zw4X/o3usAA+8fRdsO/q1jxhEDotEoHNl5kdgNWZRd0wDg08uRfmPbt66bSutC6tiFEEK0IJKwtxq3zhRzp1F3tYkJoX386d6jC3u2HiTp4EmOxyWQlphE+JjR9BpzH2YWls0Uf+uWkVzA7lVnyc0uBcDF05oBD3TAvbONniMzUFLHLoQQogWRhL2lu3GWGLhlppiat1cfObe2seKe+/oR1Ks7238/wIWzF9m7+heSdu0mauo0uvbsJaPtTSTvUgl7Vp8nPSkfACsbU/re64FvHyfUUv5ye1LHLoQQooWQhL2luzlhv1E9k3dXD2cmPDKK40mn2bUxjoIrOfzyz8V4du1A1MwnadexU6OG3pqVXtMQvymLxO0X0WoU1GoIHNiO3iPcsLCW/23rROrYhRBCtBDyl781qEuiUsfkXaVS4RvkjXd3T2J3HyFuTxJnU8/x7d//hn+YL/0mz8K2XfvGirzV0VRoSdp9mbiNmZQUV9apd/S1pd/97XF0s9JzdEZG6tiFEEK0EJKwtza1zA5T7d91qHc3szAncmhPAkK7sXtzPCeOpnMsPoXjh/9G2OBIwkfdg6WTJEh1pSgKaQl5xKy9QMHlyjp1B1dLIu9rT6cAWyk5agipYxdCCNFCSMLeWtW4mJJSS7177Ym7naMtYyYMpufZi+zcGMf5jGxiN+4kac8B+o4dS/CwUZiYymV2O5mnitiz5jzZ6cUAWLU1pc9oD/z6OKE2kUT9rkgduxBCiBZAMqnWQKW6PnJ+m9dvVm3U/ca2NZfLuHm246FHRnHq+Fl2b4oj53I+275bwaEt2+n/0AR8eofLKPFN8i6WEPPreU4drryh1NRcTeiQdoQMccXcopWuUtrYpI5dCCFECyAJe0unUoFKDWirb68pgb/LWneVSoW3b0c6d+vAkYMn2LftEHnZ2az918e4de7IgIlT6egf0JB30aIU5ZURuyGLlH2X0Woru92vrxPhozxoYyfzqTcqqWMXQgjRAkjC3ipUJe3XKdqbatZr2qXhybvaRE1wb1/8gryJ25NE/N4ksk5n8OM7b+PZtQP9p/wJj65d6/82jNzVwnIObs4mafclNBWV/dXJ35aI+9rj5C43lDYJqWMXQgjRAkjC3gJpNBouXrqMFXAi/QK9tBpM1DeUWNyYvN848n6n5L2eN6qaW5gROSSU4N7dObDrMEfijnM29Rzfv/YKnQO60f+hibTr4ntX79VQaDQadu7aS/alK7i6ODFwQCQmJpV9Xnq1gkPbLpK4/SIVZZX97eFtQ58xHnh4y8JHDXG7/r6F1LELIYQwcuo7NzEsn3zyCV5eXlhaWtKnTx8OHDhw2/Y//vgjvr6+WFpaEhgYyG+//dZMkerHytW/4uUTxI5dewD417Jf6TLgUVZu2PtHTo0K3ROV+o8E/nZztt/4em2PasdW6f7Tpq01g0f3ZeafHyAgtBsqlYrTR0/y7StvsPafH3Al43hjd0OzqurzYaPH8fIrbzBs9Di8fIL46ee1xG/K4tvXjhK/MYuKMi0untZEP9mVcc92k2S9gWrr75Wrf615h5vr2IUQQggjY1QJ+4oVK5g3bx4LFy7k4MGDBAcHM2LECC5evFhj+7179zJ58mQeffRRDh06xLhx4xg3bhxJSUnNHHnzWLn6Vx6cPINz5y9U234++zITnn6LletjquXT1ZPrGhL3uiTvN7evKXm//h9bBxuGj+vP9Gfux6dHZWnC8biDLPv7G6z/4nPyL2ahGFlCVVOfm6rN6OrQh5Prrdi39gKl1zQ4uFky6pEuPPRcdzr6yjSNDVXrNX4hkwcnz6g5ab+5jl0IIYQwMirFiDKkPn360Lt3b/71r38BoNVq8fT05Nlnn2X+/Pm3tJ84cSLFxcWsXbtWt61v376EhITw2Wef1emcBQUF2NnZkZedjp2dXeO8kSag0Wjw8gnSJTIfeLRnZNu2vHExm+9yc1GpoIObC2k7v76hdODGcphb/nH96fU2dblMbmxT279vOP6lzBz2bj3IqeNngcra94B+kYTfNx4srLCztTHoxPbmPjc3syC63zRC2w/D3sYFgNzibB54rDfdezuhVhvme1EUhfyCIqPrb7VaTefOnTl9+jRarRaVSkWH9h6cPp54a3nM8omVI+yj3tF7WYyx9HdNjDX2/Px87F29yM/Px9bWVt/hCCFEvRlNwl5WVoa1tTU//fQT48aN022fMWMGeXl5rFmz5pZ9OnbsyLx585g7d65u28KFC1m9ejWJiYk1nqe0tJTS0lLd84KCAjw9PYn4qg+mBrwkfFlZOfkFBbrnz62Hfqnwn4GwPuiPdna2tpibGdZMJA45Jvgds8TlcmVcWpVChmcZJ31LudpGe4e99aeqz021ZgTk9Cfs8jDaVNgDUGSaS2y79SQ77KWtnQ3m5obV5zfTahWD/UBR5eZrHMBEbYJGq6m2zc7W9tb+Lr9W+TCxAIs2TR3qHRlDf9fGGGOvuFpBzKP7JWEXQhgtw81Ab3L58mU0Gg2urq7Vtru6upKSklLjPllZWTW2z8rKqvU8b7/9Nq+++uot2/PKCmq/qc1AmLb948epNtUACiaWakzb/lH5VKxcpbhMD8HdRq4NnAqHdjkWBKfa0f6yFV4ZFnQ8a06aRzGHu+ZT2KZC32HewlRjTljhPYRcGIJ1eWUSUGiew6H2m0lptw+tWoMadWWfl97hYKJObrzGddtu+jVWa3+bmAAVUJrfNMEJg6Up09y5kRBCGDCjSdiby4IFC5g3b57uedUI+/Khn9HWtq0eI7u9A3HxPPrEs7rnRRYuYNqGy2svk7rqj1HJrz77mPBePfURYp1dOXWGY79tJefEKbqdt6HbhbZ06BWEz/BBtHV10Xd4VJQqnI0t5eSOIpSyyg9xOVez2Jr2I5lKCmdXZ6BV/vhmwND7XFEUioqvYtPG2qDLHG6+xtUqNe3bt+f8+fN37m9NKSwbh0pbjvLQUrDr0ExR38pY+rsmxhp7YUEhYQzSdxhCCNFgRpOwOzs7Y2JiQnZ2drXt2dnZuLm51biPm5tbvdoDWFhYYGFhccv2LnadDLqGvfPgjrykLOT8hUwURUHjoYW2UJ5XTkluia6+d+Lg+w3+mwLvUC+6e/fk6qUs9q9Zw6nEBM7FJnI+7jDd+0bQJ/o+nDs0f8JVek1D0u5LJGzLpqRYA5iQW5zNb3Hfsv/ERkChc+fOlJwvqVZTbeh9rigK+WrDr0u++RpXq9VozbV172/X4Mo69txz0GlA87+B64ylv2tirLHnq+RbFSGEcTOaWWLMzc3p2bMnW7Zs0W3TarVs2bKFiIiIGveJiIio1h5g06ZNtbY3ZiYmJix+/x2AW/6QVj3/aNHbBp043szduyv3P/c8U195De/QMBRFISVmL8v+Op/VH37AhZMnmyWOqwXlxPx6nm9eOcK+tRcoKdZg52zB0Kmd8Btdwb7j61GU6rX2xtrnhuyur/Gq6R3PxDRZjEIIIURTMJqEHWDevHl88cUXLFu2jOTkZJ588kmKi4uZNWsWANOnT2fBggW69nPmzGH9+vW8//77pKSk8MorrxAXF8czzzyjr7fQpMaPi+an75fR3sO92vYO7T346ftljB8XrafI7o5bly6M+8s8Hn7tDbr17g0qFWmHDvL966+y4q03OH04sUmmg8y/XMqOHzL45tUkDm7OpqxEi4OrJcMe7sSUv/rjG+7EA+NbZp8bqru6xmU+diGEEEbKaGaJqfKvf/2Lf/zjH2RlZRESEsI///lP+vTpA0BUVBReXl4sXbpU1/7HH3/k5ZdfJj09nW7duvHee+8xevToOp/PWKZ1vJFGoyHxkaewSjhMwYPj6PXX541qlPdOU8dduXCBuN/WcWzPbrSaypvJXDp2JPzeaHx6h6O+y/d6+fxVDm7OJvVQri6vc+1kTdg9bnQOsENVwwwZ9Vp508AY41R9DervihL4IKiynv3x7eDYuVlivZkx9ncVY41dpnUUQhg7o0vYm5sxJuwA557/G4WbtuI6/zkcJz+o73Dqpa5JQWHOFeLXr+fwtq2UX5+K065dO3qPHkNA/wGYmpvX65yZp4o5uDmLM8f+uEm3o58tYcNc8fC+c4JirMlMq4rbAOZjN9b+BuONXRJ2IYSxM5qbToW4WVtHJ6KmTKXPfWNJ2LyJgxs3kH/xIpuXLmHvqpX0HDGSoMFDsGxT+7zbilYh/Wg+B7dkk3W6GKhcqNU7xIGwYa64dLBurrcjmkPHvpUJ+5kYvS+gJIQQQtSVJOzC6FnZ2BAx7n56jRrFkR07iPvtNwpzrrDrhxXsW7OaHoMG0XPESOxc2un2KS/TcvzAFRJ3XCTvYuXovNpEhV8fJ0KGtMPexVJfb0c0pZvr2I1olFgIIUTrJQm7aDHMLCwJGz6C4CFDSYnZS9zvv3H53DkObdxIwqZNdO3Vi4ABw7l03o6k3ZcovVpZ/25uZUJApDPBg9rRxs6wVyQVd6l9aOVqp0XZkJuutzp2IYQQoj4kYRctjompKQEDBuLffwBnjiYR//tvpB85wsnYWE7GxqIyccfUsif2bv4ER7nh19cJcwvjuEFU3CVTy8qkPWNf5UMSdiGEEEbAqKZ1FKK+VCYdMWszHnPb6ZiYBwAmKJpMyovXUpr/NRXXDoK2TN9hiuYk87ELIYQwMjLCLlqcijItJ+JzSNh+kdysEgBMTJ3p1m8i3XtbceH4HhK2bKbg8mW2f/df9q76maCowYTeMxxbZ2c9Ry+anNSxCyGEMDKSsIsWoyCnlKO7L3M05rKuPt3MQo1/X2eCBrlg62QBQOceDxIefR/Je3YTt/53cjMzifv9N+LX/453WBih9wzH08/fqKatE/UgdexCCCGMjCTswqgpisL51CKO7LzI6SP5uoWO2jqaEzjABf8IZyysbq1PNzM3J2jwEAIHRXH6cCLxGzaQcTSJ1Ph4UuPjcWrfgdB77sG/Xz/MLGTGmBZF6tiFEEIYGUnYhVEqL9VwPC6HI7sukZNZotvewactgQNd8AqwQ13DiqQ3U6nVdAkJpUtIKFfOn+fQ5k0c272LK+fPsXnpEnb9sIIeAwYSMuwe7F1dm/ItieYk87ELIYQwIpKwC6OSf7mUI7sukbL/CqXXKsteTM3V+PZ2JHCgC45uVg0+tlP79gybMZMBD00gaedOErZsIi87m/gN64nfuIEuwSGE3jOcTj16SLmMsZM6diGEEEZEEnZh8BStwtkThRzZeZH0YwVwvezF1tmCoAEu+IY7YmHdeJeyhbU1PUeOJGz4cE4fOcyhTRtJP3yYUwmHOJVwCAd3d0KH3YN///5YWMlKqEZJ6tiFEEIYEUnYhcG6VlTB8dgcju65TP7lUt32jn62BA5woZOfLao6lL00lEqtpktwCF2CQ8jJzCRhyyaO7txJbmYmW7/9hl0/rMAvMpKgwUNx9fJqsjhEE5A6diGEEEZEEnZhUBRFIfNUEYe2Z5FxtAitpnI43dxSjW+4E4EDXLBv1/w3gTq6uzPk4en0f+Ahju7ZTcLmTeRcuMDhbds4vG0bbl28CRo8BHf/Hs0em2ggqWMXQghhJCRhFwah9JqG47FXOLrnMjlZf9xE2s7TmoB+znQLc8DMAFYjNbeyInTYPYQMHcb548dJ3LqFE7EHyDqVRtapNMytrAjoP4DgIUNxat9e3+GK25E6diGEEEZCEnahVxcziknac5mTB3OpKNMClTeRdgq0IXSQO66d2ug5wpqpVCo6+PrSwdeXwQUPk7RrF4e3biX/0kUObdrIoU0b6dDdl6AhQ+jWqzemZmb6DlncTOrYhRBCGAlJ2EWzKyvVkHowl6Q9l7l09qpuu6O7JT36udCtpwMl5dewszWOGzqtbe0IH3MvvUaO4lhsHGn7Y0g7dJBzx1M4dzwFq7Zt6TFwEEFRg2VqSEMidexCCCGMhCTsolkoisKls1c5FnOFkwdzKCupHE03MVXRNdSBgH7OuHm1QaVSoSgKJeV6DrgBVGo1Hfz8CegTTlFuLkk7d3B4+zaKcnKIXbeW2HVr6RjQg8BBUXTt2VNG3Q2B1LELIYQwApKwiyZVUlzB8bgckvdd4cqFa7rtdi4WBEQ649fHCcs2Le8ybOvoSMS4++kTfR+nEhM4vHUrp48cJuNoEhlHk7BsY4Nfv0gCB0bh0rGjvsNtvaSOXQghhBFoeZmS0DtFq3DuZCHJ+66Qlpinm+nFxFSFd7A9fhHOtPe2adIpGQ2F2sSErmE96RrWk/xLl0jatZOknTsoysnh0MaNHNq4EbcuXegxcBC+EREyr3tzkzp2IYQQRkASdtFoCnPLSDlwheR9VyjMKdNtd25vhX+EM916OmDZiAscGRs7Fxf6jX+AiHH3cybpCEk7dpB6MJ6sU6fIOnWK7d8tp3t4H3oMGkR7n+6ymmpzkDp2IYQQRqD1Zk+iUWgqtKQn5XNs3xUyUv5YhdTcygSfng7493XGxVNGjW+kVqvpHBRM56BgrhYUcGzPbo7s2E7OhQsc3b2Lo7t34eDmRo9BUQT0608be3t9h9yySR27EEIIAycJu2iQKxeukbz/CificrhWVKHb3r6rDX59nfAOdsDUXK3HCI2Dta0tvUaNpufIUWSmpnJk53aO79tHblYWu1b8j90//kCXkFB6DBhI5+BgTEzlf9lGJ3XsQgghDJz89Rd1dq2onBNxuaTEXuHyuT9uILW2NcM33BG/vk7YuzT/KqQtgUqlwqNbNzy6dWPwlIc5fmA/R3bsIDP1JGkH40k7GI9V27b4RkQQ0H8A7Tp5SclMY5E6diGEEAZOEnZxW5oKLelH80k5kEPGsXy0lbMxojZR4RVgi28fJzr52aE2keSxsZhbWRE4KIrAQVFcOX+eIzt3kLx3D1fz83U3qjp36IB//wH4RUZiY++g75CNm9SxCyGEMHCSsItbKIrCxYyrHI/N4UR8DqVXNbrX2nla0z3ckW5hjljZyOXT1Jzatydq8hQGTphIetIRju7aRdqhg1w+d46d//ueXSv+h1dgEP79B9A1LAxTc3N9h2ycpI5dCCGEAZOMS+gU5ZVxIi6HlAM55GaX6La3sTPDp5cjvuGOOLpZ6THC1kttYkKX4BC6BIdQUlzM8f37OLp7N5mpJzl9OJHThxOxsLame58++PcfgEfXblIyUx9Sxy6EEMKAScLeypWXaTl9OI+U2CucO16Icn2WFxMzFV2C7PENd6KDT1vUrWDOdGNh2aYNwUOGEjxkKDmZmRzbs5tju3dTmHOFw9u2cXjbNhxc3fDv3x//fv2xdXbWd8iGT+rYhRBCGDBJ2FshrVbh/IlCTsTnkJaYR3mpVveau7cNvr0d6RrqgLmliR6jFHXh6O5O/wcfot/4BzibkszRXbs4GRdLbnYWe37+iT0rf6ZD9+74RfTDJzwcyzZt9B2yYZI6diGEEAZMEvZWQlEULp29yom4XE4eyuFqwR9TMdo6mdO9tyPdezth52yhxyhFQ6nUajr6B9DRP4ChM2ZyMvYAR3fv5mzyMc6lpHAuJYWt3y6jc3AwfhH96BISIvXuN5M6diGEEAZKEvYWrrDElNTfMzl5MIe8i6W67RbWJnQNdcCnpyPundugkpKXFsPc0pKAAQMJGDCQgsuXSdkXQ0pMDJfOZpAaH09qfDzmVlZ069ULv4h+dPDz03fIhkHq2IUQQhgoSdhboKsF5aRpvMkI60lBQkcgEwBTMxWdA+3x6emIp29bTExlYaOWztbZmfB7owm/N5rL586SvHcvyTF7KbxyhaO7dnF01y7a2NvjFdqTkEGDcO3cufXerCp17EIIIQyUJOwtRFmJhlOH8zgRn3P95tEQsAUVCp6+dvj0cqBzoL3Upbdizh08GTBhIv0ffIjzJ0+QvHcvJw4coDgvj6PbtnB02xYc3N3xi4jELyISe1dXfYfcvKSOXQghhIGShN2IaSq0ZCQXcCI+l/SkPCrKFd1r9qocXE5sIWBiOO1n3K/HKIWhUanVdOjuS4fuvgyZNp3TiYkc3rmTjKTD5GZmsnflz+xd+TPu3t74RvSje3g4bezt9R1285A6diGEEAZIEnYjo9EonDteQOqhXE4dyafs2h+LGtm5WODT0xGfng4Uvfc6hee3Y2XeU4/RCkNnYmqKd1gYzl19sDIzIfVgPMl795JxNInMtDQy09LYtvxbPH196d6nL916h2Pdtq2+w246UscuhBDCAEnCbgS0GoXzqYWkHsolLTGv2sqjbezM8A6prEtv19FaV39cpK9ghdEyt7IioP8AAvoPoDgvj+P795GyL4bMtDTOJidzNjmZLd8so6N/QGXy3qtXy5smUurYhRBCGCCjSdhzcnJ49tln+fXXX1Gr1TzwwAMsXrwYGxubWveJiopix44d1bY9/vjjfPbZZ00d7l1TtAqZp4o4eSiXtIQ8rhX9MQ2jlY0p3iH2dAt1wL2LjczwIhpdG3t7wkaMJGzESPIvXeL4gf0c37+Pi+npnEk6wpmkI2xe+jVePQLp3rcv3mFhWFhZ6zvsuyd17EIIIQyQ0STsU6dOJTMzk02bNlFeXs6sWbOYPXs233333W33e+yxx3jttdd0z62tDTepUBSF7DNXOXkwh7SEPIrzy3WvWVib4B1sT9dQB9p3bYvaRJJ00TzsXFwIH3Mv4WPuJTcri+P793F8/z4unzvHqcQETiUmYGJmRuegYLr36Yt3aAhmFpb6DrvhpI5dCCGEgTGKhD05OZn169cTGxtLr169APj4448ZPXo0ixYtwsPDo9Z9ra2tcXNza65Q601RFC6du0bqwRxSE/IozCnTvWZuZUKXQDu6hjnQwccWE0nShZ45uLnRd+w4+o4dx5Xz50m5nrznZmaSGh9HanwcpuYWdAkJwbdvXzoHBRvfAk1Sxy6EEMLAGEXCHhMTg729vS5ZBxg2bBhqtZr9+/dz//21z4KyfPly/vvf/+Lm5kZ0dDR///vfbzvKXlpaSmnpHwsM5efnV/63oKAR3skfFEXh4KaLpCXmkX/lj/OZmavp6G9LlyB7PH3aYmJ6vSa9qH7nLywro0ijweraVUyuvwdjoSgK+YXFoGiMak7w1ha3qY0NPYYOI2DIUK6cP8fJuDhOxsVRcPkSh/fs5vCe3ZhZWNIlJIReY6JxaOdiEHHfkY03lJuiupKFcuYIOHRqvGNjvNcJGG/sVb+/FUW5Q0shhDBMRpGwZ2Vl0a5du2rbTE1NcXR0JCsrq9b9pkyZQqdOnfDw8ODw4cO89NJLHD9+nJUrV9a6z9tvv82rr756y/ZO3YIa/gb06ak5lQ8h9OV/v8D81+7czhC9M0jfEYhGdOXKFezs7PQdhhBC1JteE/b58+fz7rvv3rZNcnJyg48/e/Zs3b8DAwNxd3dn6NChpKWl4e3tXeM+CxYsYN68ebrneXl5dOrUiYyMDKP6RV9QUICnpydnz57F1tZW3+HUi7HGLnE3L4m7+Rlr7Pn5+XTs2BFHR0d9hyKEEA2i14T9ueeeY+bMmbdt06VLF9zc3Lh48WK17RUVFeTk5NSrPr1Pnz4ApKam1pqwW1hYYGFhcct2Ozs7o/oDVcXW1tYo4wbjjV3ibl4Sd/Mz1tjVarW+QxBCiAbRa8Lu4uKCi8ud61ojIiLIy8sjPj6enj0rFwLaunUrWq1Wl4TXRUJCAgDu7u4NilcIIYQQQojmZhTDDX5+fowcOZLHHnuMAwcOsGfPHp555hkmTZqkmyHm/Pnz+Pr6cuDAAQDS0tJ4/fXXiY+PJz09nV9++YXp06czcOBAgoKMtB5dCCGEEEK0OkaRsEPlbC++vr4MHTqU0aNH079/f/7zn//oXi8vL+f48eNcvXoVAHNzczZv3szw4cPx9fXlueee44EHHuDXX3+t13ktLCxYuHBhjWUyhsxY4wbjjV3ibl4Sd/Mz1tiNNW4hhKiiUmSeKyGEEEIIIQyW0YywCyGEEEII0RpJwi6EEEIIIYQBk4RdCCGEEEIIAyYJuxBCCCGEEAZMEnYhhBBCCCEMmCTsNcjJyWHq1KnY2tpib2/Po48+SlFR0W33iYqKQqVSVXs88cQTTRrnJ598gpeXF5aWlvTp00c3B31tfvzxR3x9fbG0tCQwMJDffvutSeO7nfrEvnTp0lv61tLSshmjhZ07dxIdHY2HhwcqlYrVq1ffcZ/t27cTFhaGhYUFXbt2ZenSpU0eZ03qG/v27dtv6W+VSkVWVlbzBAy8/fbb9O7dm7Zt29KuXTvGjRvH8ePH77ifvq/xhsRtCNc3wKeffkpQUJBuFdOIiAh+//332+6j7/6G+sdtKP0thBD1IQl7DaZOncrRo0fZtGkTa9euZefOncyePfuO+z322GNkZmbqHu+9916TxbhixQrmzZvHwoULOXjwIMHBwYwYMYKLFy/W2H7v3r1MnjyZRx99lEOHDjFu3DjGjRtHUlJSk8VYm/rGDpVLod/Yt2fOnGnGiKG4uJjg4GA++eSTOrU/ffo0Y8aMYfDgwSQkJDB37lz+9Kc/sWHDhiaO9Fb1jb3K8ePHq/V5u3btmijCW+3YsYOnn36affv2sWnTJsrLyxk+fDjFxcW17mMI13hD4gb9X98AHTp04J133iE+Pp64uDiGDBnC2LFjOXr0aI3tDaG/GxI3GEZ/CyFEvSiimmPHjimAEhsbq9v2+++/KyqVSjl//nyt+w0aNEiZM2dOM0RYKTw8XHn66ad1zzUajeLh4aG8/fbbNbafMGGCMmbMmGrb+vTpozz++ONNGmdN6hv7kiVLFDs7u2aK7s4AZdWqVbdt8+KLLyoBAQHVtk2cOFEZMWJEE0Z2Z3WJfdu2bQqg5ObmNktMdXHx4kUFUHbs2FFrG0O6xqvUJW5Du75v5ODgoHz55Zc1vmaI/V3ldnEbcn8LIURtZIT9JjExMdjb29OrVy/dtmHDhqFWq9m/f/9t912+fDnOzs706NGDBQsW6FZdbWxlZWXEx8czbNgw3Ta1Ws2wYcOIiYmpcZ+YmJhq7QFGjBhRa/um0pDYAYqKiujUqROenp53HD0zBIbS33cjJCQEd3d37rnnHvbs2aPXWPLz8wFwdHSstY0h9nld4gbDu741Gg3/+9//KC4uJiIiosY2htjfdYkbDK+/hRDiTkz1HYChycrKuuWrf1NTUxwdHW9bwztlyhQ6deqEh4cHhw8f5qWXXuL48eOsXLmy0WO8fPkyGo0GV1fXattdXV1JSUmpcZ+srKwa2zdnXTI0LPbu3bvz9ddfExQURH5+PosWLSIyMpKjR4/SoUOH5gi73mrr74KCAq5du4aVlZWeIrszd3d3PvvsM3r16kVpaSlffvklUVFR7N+/n7CwsGaPR6vVMnfuXPr160ePHj1qbWco13iVusZtSNf3kSNHiIiIoKSkBBsbG1atWoW/v3+NbQ2pv+sTtyH1txBC1FWrSdjnz5/Pu+++e9s2ycnJDT7+jTXugYGBuLu7M3ToUNLS0vD29m7wcQVERERUGy2LjIzEz8+Pzz//nNdff12PkbVM3bt3p3v37rrnkZGRpKWl8eGHH/Ltt982ezxPP/00SUlJ7N69u9nPfTfqGrchXd/du3cnISGB/Px8fvrpJ2bMmMGOHTtqTX4NRX3iNqT+FkKIumo1Cftzzz3HzJkzb9umS5cuuLm53XLzY0VFBTk5Obi5udX5fH369AEgNTW10RN2Z2dnTExMyM7OrrY9Ozu71hjd3Nzq1b6pNCT2m5mZmREaGkpqampThNgoautvW1tbgx5dr014eLheEuZnnnlGd+P3nUY/DeUah/rFfTN9Xt/m5uZ07doVgJ49exIbG8vixYv5/PPPb2lrSP1dn7hvZgy/T4QQotXUsLu4uODr63vbh7m5OREREeTl5REfH6/bd+vWrWi1Wl0SXhcJCQlAZXlBYzM3N6dnz55s2bJFt02r1bJly5Za6zYjIiKqtQfYtGnTbes8m0JDYr+ZRqPhyJEjTdK3jcVQ+ruxJCQkNGt/K4rCM888w6pVq9i6dSudO3e+4z6G0OcNiftmhnR9a7VaSktLa3zNEPq7NreL+2aG1N9CCFErfd/1aohGjhyphIaGKvv371d2796tdOvWTZk8ebLu9XPnzindu3dX9u/fryiKoqSmpiqvvfaaEhcXp5w+fVpZs2aN0qVLF2XgwIFNFuP//vc/xcLCQlm6dKly7NgxZfbs2Yq9vb2SlZWlKIqiTJs2TZk/f76u/Z49exRTU1Nl0aJFSnJysrJw4ULFzMxMOXLkSJPF2Fixv/rqq8qGDRuUtLQ0JT4+Xpk0aZJiaWmpHD16tNliLiwsVA4dOqQcOnRIAZQPPvhAOXTokHLmzBlFURRl/vz5yrRp03TtT506pVhbWysvvPCCkpycrHzyySeKiYmJsn79+maLuaGxf/jhh8rq1auVkydPKkeOHFHmzJmjqNVqZfPmzc0W85NPPqnY2dkp27dvVzIzM3WPq1ev6toY4jXekLgN4fpWlMrrYMeOHcrp06eVw4cPK/Pnz1dUKpWycePGGuM2hP5uSNyG0t9CCFEfkrDX4MqVK8rkyZMVGxsbxdbWVpk1a5ZSWFioe/306dMKoGzbtk1RFEXJyMhQBg4cqDg6OioWFhZK165dlRdeeEHJz89v0jg//vhjpWPHjoq5ubkSHh6u7Nu3T/faoEGDlBkzZlRr/8MPPyg+Pj6Kubm5EhAQoKxbt65J47ud+sQ+d+5cXVtXV1dl9OjRysGDB5s13qqpDm9+VMU5Y8YMZdCgQbfsExISopibmytdunRRlixZ0qwx3xhHfWJ/9913FW9vb8XS0lJxdHRUoqKilK1btzZrzDXFC1TrQ0O8xhsStyFc34qiKI888ojSqVMnxdzcXHFxcVGGDh2qS3priltR9N/filL/uA2lv4UQoj5UiqIozTacL4QQQgghhKiXVlPDLoQQQgghhDGShF0IIYQQQggDJgm7EEIIIYQQBkwSdiGEEEIIIQyYJOxCCCGEEEIYMEnYhRBCCCGEMGCSsAshhBBCCGHAJGEXQgghhBDCgEnCLoQQQgghhAGThF2IVuT777/HysqKzMxM3bZZs2YRFBREfn6+HiMTQgghRG1UiqIo+g5CCNE8FEUhJCSEgQMH8vHHH7Nw4UK+/vpr9u3bR/v27fUdnhBCCCFqYKrvAIQQzUelUvHmm2/y4IMP4ubmxscff8yuXbt0yfr999/P9u3bGTp0KD/99JOeoxVCCCEEyAi7EK1SWFgYR48eZePGjQwaNEi3ffv27RQWFrJs2TJJ2IUQQggDITXsQrQy69evJyUlBY1Gg6ura7XXoqKiaNu2rZ4iE0IIIURNJGEXohU5ePAgEyZM4KuvvmLo0KH8/e9/13dIQgghhLgDqWEXopVIT09nzJgx/PWvf2Xy5Ml06dKFiIgIDh48SFhYmL7DE0IIIUQtZIRdiFYgJyeHkSNHMnbsWObPnw9Anz59GDVqFH/961/1HJ0QQgghbkdG2IVoBRwdHUlJSbll+7p16/QQjRBCCCHqQ2aJEULoDBs2jMTERIqLi3F0dOTHH38kIiJC32EJIYQQrZok7EIIIYQQQhgwqWEXQgghhBDCgEnCLoQQQgghhAGThF0IIYQQQggDJgm7EEIIIYQQBkwSdiGEEEIIIQyYJOxCCCGEEEIYMEnYhRBCCCGEMGCSsAshhBBCCGHAJGEXQgghhBDCgEnCLoQQQgghhAGThF0IIYQQQggD9v80fTemswz+EAAAAABJRU5ErkJggg==",
"text/plain": [
""
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ax.scatter(0,2,color='g', label='optimal solution nonconvex INLP')\n",
"ax.get_legend().remove()\n",
"ax.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
"fig.canvas.draw()\n",
"fig"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We are able to solve non-convex MINLP problems but the complexity of this problems leads to great challenges that need to be overcomed."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Powerful commercial solver installation\n",
"\n",
"#### Gurobi Installation\n",
"Gurobi is one of the most powerful LP and MIP solvers available today. They provide free academic licences. In order to install the software visit their **[Website](https://www.gurobi.com/)**, create an account, and obtain a license. Once you do that you can download and use the software.\n",
"\n",
"#### BARON Installation\n",
"BARON is one of the most powerful MINLP solvers available today. In order to install the software visit their **[Website](https://www.minlp.com/home)**, create an account, and obtain a license. Once you do that you can download and use the software."
]
}
],
"metadata": {
"kernelspec": {
"display_name": ".venv",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.12"
}
},
"nbformat": 4,
"nbformat_minor": 2
}