{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Second Order Model\n",
"\n",
"In this notebook we will fit a higher-order state space model to the step test data. The learning goals for this notebook are to \n",
"\n",
"* Review the two-state model for the temperature control lab\n",
"* Reformulate systems of first order differential equations in state space\n",
"* Simulate the step response of state space models\n",
"* Fit a model to step test data using multiple fitting criteria."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example: Step Test Data\n",
"\n",
"Using a Temperature Control Lab device initially at steady state at ambient room temperature, the following device settings were used to induce a step response in $T_1$ and $T_2$. \n",
"\n",
"| P1 | P2 | U1 | U2 |\n",
"| :--: | :--: | :--: | :--: |\n",
"| 200 | 100 | 50 | 0 |\n",
"\n",
"Data was recorded for 800 seconds and saved to a .csv data file. Some noise and data dropouts are evident in the data. The data file is accessible at the link given in the code cell below. \n",
"\n",
"The challenge is to develop a first-principles models that reproduces the system measured response shown below."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" T1 \n",
" T2 \n",
" Q1 \n",
" Q2 \n",
" \n",
" \n",
" Time \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" 0.00 \n",
" 21.543 \n",
" 20.898 \n",
" 50.0 \n",
" 0.0 \n",
" \n",
" \n",
" 1.00 \n",
" 21.543 \n",
" 20.898 \n",
" 50.0 \n",
" 0.0 \n",
" \n",
" \n",
" 2.01 \n",
" 21.543 \n",
" 20.898 \n",
" 50.0 \n",
" 0.0 \n",
" \n",
" \n",
" 3.01 \n",
" 21.543 \n",
" 20.931 \n",
" 50.0 \n",
" 0.0 \n",
" \n",
" \n",
" 4.00 \n",
" 21.543 \n",
" 20.931 \n",
" 50.0 \n",
" 0.0 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" T1 T2 Q1 Q2\n",
"Time \n",
"0.00 21.543 20.898 50.0 0.0\n",
"1.00 21.543 20.898 50.0 0.0\n",
"2.01 21.543 20.898 50.0 0.0\n",
"3.01 21.543 20.931 50.0 0.0\n",
"4.00 21.543 20.931 50.0 0.0"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"\n",
"data_file = \"https://raw.githubusercontent.com/jckantor/cbe30338-book/main/notebooks/data/tclab-data-example.csv\"\n",
"data = pd.read_csv(data_file)\n",
"data = data.set_index(\"Time\")\n",
"data.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The Pandas library includes a highly functional method for plotting data."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data.plot(y=[\"T1\", \"T2\"], figsize=(10, 3), grid=True, ylabel=\"deg C\", xlabel=\"Time (s)\", linestyle=\"\",marker=\".\")\n",
"plt.legend([\"TS1 (measured)\", \"TS2 (measured)\"])\n",
"\n",
"data.plot(y=[\"Q1\", \"Q2\"], figsize=(10, 3), grid=True, ylabel=\"% of power range\", ylim=(-5, 105), xlabel=\"Time (s)\")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": []
},
"source": [
"## Two-State Model\n",
"\n",
"For this model we no longer assume the heater and sensor are at the same temperature. To account for differing temperatures, we introduce $T_{H,1}$ to denote the temperature of heater one and $T_{S,1}$ to denote the temperature of the corresponding sensor. We further assume the sensor exchanges heat only with the heater, and heat transfer to the surroundings is dominated by the heat sink attached to the heater.\n",
"\n",
"This motivates a model\n",
"\n",
"$$\n",
"\\begin{align}\n",
"C^H_p\\frac{dT_{H,1}}{dt} & = U_a(T_{amb} - T_{H,1}) + U_b(T_{S,1} - T_{H,1}) + \\alpha P_1u_1\\\\\n",
"C^S_p\\frac{dT_{S,1}}{dt} & = U_b(T_{H,1} - T_{S,1}) \n",
"\\end{align}\n",
"$$\n",
"\n",
"where $C^H_p$ and $C^S_p$ are the heat capacities of the heater and sensor, respectively, and $U_b$ is a new heat transfer coefficient characterizing the exchange of heat between the heater and sensor. Where the temperature measured and recorded by the Arduino is given by\n",
"\n",
"$$T_1 = T_{S,1}$$\n",
"\n",
"The following cell creates a simulation of heater/sensor combination."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" TH1 \n",
" TS1 \n",
" T1 \n",
" \n",
" \n",
" Time \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" 0.00 \n",
" 21.000000 \n",
" 21.000000 \n",
" 21.000000 \n",
" \n",
" \n",
" 1.00 \n",
" 21.316847 \n",
" 21.007816 \n",
" 21.007816 \n",
" \n",
" \n",
" 2.01 \n",
" 21.630650 \n",
" 21.030852 \n",
" 21.030852 \n",
" \n",
" \n",
" 3.01 \n",
" 21.935475 \n",
" 21.067561 \n",
" 21.067561 \n",
" \n",
" \n",
" 4.00 \n",
" 22.231957 \n",
" 21.115691 \n",
" 21.115691 \n",
" \n",
" \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" \n",
" \n",
" 796.00 \n",
" 52.948664 \n",
" 52.946492 \n",
" 52.946492 \n",
" \n",
" \n",
" 797.01 \n",
" 52.949058 \n",
" 52.947023 \n",
" 52.947023 \n",
" \n",
" \n",
" 798.01 \n",
" 52.949466 \n",
" 52.947455 \n",
" 52.947455 \n",
" \n",
" \n",
" 799.00 \n",
" 52.949892 \n",
" 52.947773 \n",
" 52.947773 \n",
" \n",
" \n",
" 800.01 \n",
" 52.950354 \n",
" 52.947967 \n",
" 52.947967 \n",
" \n",
" \n",
"
\n",
"
801 rows × 3 columns
\n",
"
"
],
"text/plain": [
" TH1 TS1 T1\n",
"Time \n",
"0.00 21.000000 21.000000 21.000000\n",
"1.00 21.316847 21.007816 21.007816\n",
"2.01 21.630650 21.030852 21.030852\n",
"3.01 21.935475 21.067561 21.067561\n",
"4.00 22.231957 21.115691 21.115691\n",
"... ... ... ...\n",
"796.00 52.948664 52.946492 52.946492\n",
"797.01 52.949058 52.947023 52.947023\n",
"798.01 52.949466 52.947455 52.947455\n",
"799.00 52.949892 52.947773 52.947773\n",
"800.01 52.950354 52.947967 52.947967\n",
"\n",
"[801 rows x 3 columns]"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"from scipy.integrate import solve_ivp\n",
"import pandas as pd\n",
"\n",
"# known parameters\n",
"T_amb = 21 # deg C\n",
"alpha = 0.00016 # watts / (units P1 * percent U1)\n",
"P1 = 200 # P1 units\n",
"\n",
"# adjustable parameters\n",
"CpH = 5 # joules/deg C\n",
"CpS = 1 # joules/deg C\n",
"Ua = 0.05 # watts/deg C\n",
"Ub = 0.05 # watts/deg C\n",
"\n",
"# initial conditions\n",
"TH1 = T_amb\n",
"TS1 = T_amb\n",
"IC = [TH1, TS1]\n",
"\n",
"# input values\n",
"U1 = 50 # steady state value of u1 (percent)\n",
"\n",
"# extract data from experiment\n",
"t_expt = data.index\n",
"\n",
"def tclab_ode(param):\n",
" # unpack the adjustable parameters\n",
" CpH, CpS, Ua, Ub = param\n",
"\n",
" # model solution\n",
" def deriv(t, y):\n",
" TH1, TS1 = y\n",
" dTH1 = (-Ua*(TH1 - T_amb) + Ub*(TS1 - TH1) + alpha*P1*U1)/CpH\n",
" dTS1 = Ub*(TH1 - TS1)/CpS\n",
" return [dTH1, dTS1]\n",
"\n",
" soln = solve_ivp(deriv, [min(t_expt), max(t_expt)], IC, t_eval=t_expt) \n",
"\n",
" # create dataframe with predictions\n",
" pred = pd.DataFrame(columns=[\"Time\"])\n",
" pred[\"Time\"] = t_expt\n",
" pred = pred.set_index(\"Time\")\n",
" \n",
" # report the model temperatures\n",
" pred[\"TH1\"] = soln.y[0]\n",
" pred[\"TS1\"] = soln.y[1]\n",
" \n",
" # report the prediced measurement\n",
" pred[\"T1\"] = pred[\"TS1\"]\n",
" \n",
" return pred\n",
" \n",
"pred = tclab_ode(param=[CpH, CpS, Ua, Ub])\n",
"pred"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pred.plot(y=[\"TS1\",\"TH1\"],grid=True, ylabel=\"deg C\", title=\"Model Prediction\", xlabel=\"Time (s)\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's compare the predicted measurement to the actual measurement. How did we do?"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = data.plot(y=[\"T1\"], grid=True, linestyle=\"\", marker=\".\")\n",
"ax = pred.plot(ax=ax,y=[\"TS1\", \"TH1\"], ylabel=\"deg C\", xlabel=\"Time (s)\", grid=True)\n",
"plt.legend([\"TS1 (measured)\",\"TS1 (model)\", \"TH1 (model)\"])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## State Space Model\n",
"\n",
"Our two-state model for the temperature control lab is given by \n",
"\n",
"$$\n",
"\\begin{align}\n",
"C^H_p\\frac{dT_{H,1}}{dt} & = U_a(T_{amb} - T_{H,1}) + U_b(T_{S,1} - T_{H,1}) + \\alpha P_1u_1\\\\\n",
"C^S_p\\frac{dT_{S,1}}{dt} & = U_b(T_{H,1} - T_{S,1}) \n",
"\\end{align}\n",
"$$\n",
"\n",
"The initial steady state is $T_{amb}$. So let's write the dependent variables as excursions from the ambient temperature.\n",
"\n",
"$$\n",
"\\begin{align}\n",
"C^H_p\\frac{d(T_{H,1} - T_{amb})}{dt} & = U_a(T_{amb} - T_{H,1}) + U_b((T_{S,1} - T_{amb}) - (T_{H,1} - T_{amb})) + \\alpha P_1u_1\\\\\n",
"C^S_p\\frac{d(T_{S,1} - T_{amb})}{dt} & = U_b(T_{H,1} - T_{amb}) - (T_{S,1} - T_{amb})\n",
"\\end{align}\n",
"$$\n",
"\n",
"Then divide by the heat capacities.\n",
"\n",
"$$\n",
"\\begin{align}\n",
"\\frac{d(T_{H,1} - T_{amb})}{dt} & = -\\frac{U_a+U_b}{C^H_p}(T_{H,1} - T_{amb}) + \\frac{U_b}{C^H_p}(T_{S,1} - T_{amb}) + \\frac{\\alpha P_1}{C^H_p}u_1 \\\\\n",
"\\frac{d(T_{S,1} - T_{amb})}{dt} & = \\frac{U_b}{C^S_p}((T_{H,1} - T_{amb}) - \\frac{U_b}{C^S_p} (T_{S,1} - T_{amb})) \n",
"\\end{align}\n",
"$$\n",
"\n",
"The two-state model can be rewritten using vectors to collect the states, inputs, measurable outputs, and arrays to collect the coefficients of the differential equations. \n",
"\n",
"$$\n",
"\\begin{align}\n",
"\\frac{d}{dt}\\underbrace{\\begin{bmatrix} T_{H,1} - T_{amb} \\\\ T_{S,1} - T_{amb} \\end{bmatrix}}_x & = \n",
"\\underbrace{\\begin{bmatrix} -\\frac{U_a+U_b}{C^H_p} & \\frac{U_b}{C^H_p} \\\\ \\frac{U_b}{C^S_p} & - \\frac{U_b}{C^S_p}\\end{bmatrix}}_A \n",
"\\underbrace{\\begin{bmatrix} T_{H,1} - T_{amb} \\\\ T_{S,1} - T_{amb} \\end{bmatrix}}_x + \n",
"\\underbrace{\\begin{bmatrix} \\frac{\\alpha P_1}{C^H_p} \\\\ 0 \\end{bmatrix}}_B \n",
"\\underbrace{\\begin{bmatrix} u_1 \\end{bmatrix}}_u \\\\\n",
"\\\\\n",
"\\underbrace{\\begin{bmatrix} T_{S,1} - T_{amb} \\end{bmatrix}}_y & = \n",
"\\underbrace{\\begin{bmatrix}0 & 1 \\end{bmatrix}}_C \n",
"\\underbrace{\\begin{bmatrix} T_{H,1} - T_{amb} \\\\ T_{S,1} - T_{amb} \\end{bmatrix}}_x\n",
"\\end{align}\n",
"$$\n",
"\n",
"In other words, we can write the temperature control lab model as a **state-space model**\n",
"\n",
"$$\n",
"\\begin{align}\n",
"\\frac{dx}{dt} & = A x + B u \\\\\n",
"y & = C x\n",
"\\end{align}\n",
"$$\n",
"\n",
"where the state space variables are the deviations of temperature from the ambient $T_{amb}$\n",
"\n",
"$$\n",
"\\begin{align}\n",
"u & = \\begin{bmatrix} u_1 \\end{bmatrix} && \\text{inputs} \\\\\n",
"\\\\\n",
"x & = \\begin{bmatrix} T_{H,1} - T_{amb} \\\\ T_{S,1} - T_{amb} \\end{bmatrix} && \\text{states} \\\\\n",
"\\\\\n",
"y & = \\begin{bmatrix} T_{S,1} - T_{amb} \\end{bmatrix} && \\text{measurements} \\\\\n",
"\\end{align}\n",
"$$\n",
"\n",
"and parameters are embedded in the arrays\n",
"\n",
"$$\n",
"\\begin{align}\n",
"A = \\begin{bmatrix} -\\frac{U_a+U_b}{C^H_p} & \\frac{U|_b}{C^H_p} \\\\ \\frac{U_b}{C^S_p} & - \\frac{U_b}{C^S_p}\\end{bmatrix}\n",
"\\quad\n",
"B = \\begin{bmatrix} \\frac{\\alpha P_1}{C^H_p} \\\\ 0 \\end{bmatrix} \n",
"\\quad\n",
"C = \\begin{bmatrix}0 & 1 \\end{bmatrix} \\\\\n",
"\\end{align}\n",
"$$\n",
"\n",
"By using the notation and techniques of linear algebra, **state-space models** provide a compact means of representing complex systems. This example consists of $m=1$ inputs, $n=2$ states, and $p=1$ outputs."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"pi = 3.142 isn't that nice\n"
]
}
],
"source": [
"print(f\"pi = {np.pi:8.3f} isn't that nice\")"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Ua=0.05 watts/deg C\n"
]
}
],
"source": [
"print(f\"{Ua=} watts/deg C\")"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"A=array([[-0.02, 0.01],\n",
" [ 0.05, -0.05]])\n",
"\n",
"B=array([[0.0064],\n",
" [0. ]])\n",
"\n",
"C=array([[0, 1]])\n"
]
}
],
"source": [
"import numpy as np\n",
"from scipy.integrate import solve_ivp\n",
"import pandas as pd\n",
"\n",
"# known parameters\n",
"T_amb = 21 # deg C\n",
"alpha = 0.00016 # watts / (units P1 * percent U1)\n",
"P1 = 200 # P1 units\n",
"\n",
"# adjustable parameters\n",
"CpH = 5 # joules/deg C\n",
"CpS = 1 # joules/deg C\n",
"Ua = 0.05 # watts/deg C\n",
"Ub = 0.05 # watts/deg C\n",
"\n",
"# array parameters\n",
"A = np.array([[-(Ua + Ub)/CpH, Ub/CpH], [Ub/CpS, -Ub/CpS]])\n",
"B = np.array([[alpha*P1/CpH], [0]])\n",
"C = np.array([[0, 1]])\n",
"\n",
"print(f\"\\n{A=}\")\n",
"print(f\"\\n{B=}\")\n",
"print(f\"\\n{C=}\")"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" x1 \n",
" x2 \n",
" y \n",
" TH1 \n",
" TS1 \n",
" T1 \n",
" \n",
" \n",
" Time \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" 0.00 \n",
" 0.000000 \n",
" 0.000000 \n",
" 0.000000 \n",
" 21.000000 \n",
" 21.000000 \n",
" 21.000000 \n",
" \n",
" \n",
" 1.00 \n",
" 0.316847 \n",
" 0.007816 \n",
" 0.007816 \n",
" 21.316847 \n",
" 21.007816 \n",
" 21.007816 \n",
" \n",
" \n",
" 2.01 \n",
" 0.630651 \n",
" 0.030850 \n",
" 0.030850 \n",
" 21.630651 \n",
" 21.030850 \n",
" 21.030850 \n",
" \n",
" \n",
" 3.01 \n",
" 0.935462 \n",
" 0.067618 \n",
" 0.067618 \n",
" 21.935462 \n",
" 21.067618 \n",
" 21.067618 \n",
" \n",
" \n",
" 4.00 \n",
" 1.231700 \n",
" 0.116765 \n",
" 0.116765 \n",
" 22.231700 \n",
" 21.116765 \n",
" 21.116765 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" x1 x2 y TH1 TS1 T1\n",
"Time \n",
"0.00 0.000000 0.000000 0.000000 21.000000 21.000000 21.000000\n",
"1.00 0.316847 0.007816 0.007816 21.316847 21.007816 21.007816\n",
"2.01 0.630651 0.030850 0.030850 21.630651 21.030850 21.030850\n",
"3.01 0.935462 0.067618 0.067618 21.935462 21.067618 21.067618\n",
"4.00 1.231700 0.116765 0.116765 22.231700 21.116765 21.116765"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"\n",
"# input values\n",
"U1 = 50 # steady state value of u1 (percent)\n",
"def u(t):\n",
" return np.array([U1])\n",
"\n",
"# extract data from experiment\n",
"t_expt = data.index\n",
"\n",
"def tclab_ss(A, B, C):\n",
" \n",
" IC = [0, 0]\n",
"\n",
" # model solution\n",
" def deriv(t, x):\n",
" dxdt = A @ x + B @ u(t)\n",
" return dxdt\n",
"\n",
" soln = solve_ivp(deriv, [min(t_expt), max(t_expt)], IC, t_eval=t_expt) \n",
" \n",
" # create dataframe with predictions\n",
" pred = pd.DataFrame(columns=[\"Time\"])\n",
" pred[\"Time\"] = t_expt\n",
" pred = pred.set_index(\"Time\")\n",
" \n",
" # get the state variables\n",
" pred[\"x1\"] = soln.y[0]\n",
" pred[\"x2\"] = soln.y[1]\n",
" \n",
" pred[\"y\"] = pred[\"x2\"]\n",
" \n",
" # convert back to model temperatures\n",
" pred[\"TH1\"] = pred[\"x1\"] + T_amb\n",
" pred[\"TS1\"] = pred[\"x2\"] + T_amb\n",
" \n",
" # report the predicated measurement\n",
" pred[\"T1\"] = pred[\"TS1\"]\n",
" \n",
" return pred\n",
" \n",
"pred = tclab_ss(A, B, C)\n",
"\n",
"pred.head()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjMAAAHFCAYAAAAHcXhbAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAABrGElEQVR4nO3dd3hUZfr/8ffMZDLpBUJIo/cO0kEFpCiwKqKuKzZ07X1Zy9qDIlh++rUublGsCLtiW5USlSIiRaSDCNIhIdT0MuX8/hgyEFIJSabk87quuebMOc85ue8kmNtznmIyDMNARERExE+ZvR2AiIiIyNlQMSMiIiJ+TcWMiIiI+DUVMyIiIuLXVMyIiIiIX1MxIyIiIn5NxYyIiIj4NRUzIiIi4tdUzIiIiIhfUzEj4mfeffddTCYTJpOJRYsWlTluGAZt27bFZDIxdOjQWv3aJpOJ1NTUMz5v165dmEwm3n333Wq1K3mZzWYaN27MmDFj+Omnn2oW9BmaOHEiLVu2LLWvJnkfOHCA1NRU1q5dW+ZYamoqJpOp5kGKSCkqZkT8VGRkJG+//XaZ/YsXL+b3338nMjLSC1HVjnvuuYeffvqJH374gWnTprFu3TqGDRvGmjVrvBLPTz/9xM0333xG5xw4cIDJkyeXW8zcfPPN9VaciTQEKmZE/NRVV13FnDlzyM7OLrX/7bffZuDAgTRv3txLkZ295s2bM2DAAAYPHsytt97KBx98QFFREX//+98rPKegoIC6WmpuwIABpKSk1Nr1UlJSGDBgQK1dT6ShUzEj4qeuvvpqAD7++GPPvqysLObMmcNNN91U7jlHjx7lzjvvJDk5meDgYFq3bs1jjz1GUVFRqXbZ2dnccsstNG7cmIiICC666CJ+++23cq+5bds2JkyYQHx8PDabjU6dOvHmm2/WUpZuJX/4d+/eDZx81LZgwQJuuukmmjRpQlhYmCeP2bNnM3DgQMLDw4mIiODCCy8s967Ou+++S4cOHTxxv//+++V+/fIeM+3fv59bb72VZs2aERwcTFJSEldccQUHDx5k0aJF9O3bF4Abb7zR89is5BrlPWZyuVy88MILdOzYEZvNRnx8PNdffz379u0r1W7o0KF07dqVVatWcd555xEWFkbr1q157rnncLlcZ/aNFQkQKmZE/FRUVBRXXHEF77zzjmffxx9/jNls5qqrrirTvrCwkGHDhvH+++8zadIkvv76a6699lpeeOEFxo8f72lnGAbjxo3jgw8+4K9//SufffYZAwYMYPTo0WWuuXnzZvr27cvGjRt56aWX+Oqrrxg7diz33nsvkydPrrVct2/fDkCTJk1K7b/pppuwWq188MEHfPLJJ1itVqZOncrVV19N586d+c9//sMHH3xATk4O5513Hps3b/ac++6773LjjTfSqVMn5syZw+OPP84zzzzD999/X2U8+/fvp2/fvnz22WdMmjSJuXPn8sorrxAdHc2xY8c455xzmDFjBgCPP/44P/30U5WPqu644w4efvhhRo4cyZdffskzzzzDvHnzGDRoEIcPHy7VNiMjg2uuuYZrr72WL7/8ktGjR/PII4/w4YcfVvt7KhJQDBHxKzNmzDAAY9WqVcbChQsNwNi4caNhGIbRt29fY+LEiYZhGEaXLl2MIUOGeM576623DMD4z3/+U+p6zz//vAEYCxYsMAzDMObOnWsAxquvvlqq3bPPPmsAxlNPPeXZd+GFFxopKSlGVlZWqbZ33323ERISYhw9etQwDMPYuXOnARgzZsyoNLeSds8//7xht9uNwsJCY/Xq1Ubfvn0NwPj6669LfQ+uv/76Uufv2bPHCAoKMu65555S+3NycoyEhATjj3/8o2EYhuF0Oo2kpCTjnHPOMVwul6fdrl27DKvVarRo0aLU+afnfdNNNxlWq9XYvHlzhbmsWrWqwpyfeuop49T//G7ZssUAjDvvvLNUuxUrVhiA8eijj3r2DRkyxACMFStWlGrbuXNn48ILL6wwHpFApjszIn5syJAhtGnThnfeeYcNGzawatWqCh8xff/994SHh3PFFVeU2j9x4kQAvvvuOwAWLlwIwDXXXFOq3YQJE0p9Liws5LvvvuOyyy4jLCwMh8PheY0ZM4bCwkKWL19eo7wefvhhrFYrISEh9O7dmz179vCPf/yDMWPGlGp3+eWXl/o8f/58HA4H119/fal4QkJCGDJkiGf019atWzlw4AATJkwo9binRYsWDBo0qMr45s6dy7Bhw+jUqVON8jtdyfe85GdRol+/fnTq1MnzsymRkJBAv379Su3r3r275zGcSEMT5O0ARKTmTCYTN954I6+99hqFhYW0b9+e8847r9y2R44cISEhoUxfjfj4eIKCgjhy5IinXVBQEI0bNy7VLiEhocz1HA4Hr7/+Oq+//nq5X/P0xyPVdd9993HttddiNpuJiYmhVatW5Q5lTkxMLPX54MGDAJ7+Kqczm82e2KFsTiX7du3aVWl8hw4dqtUOwSXxnJ4PQFJSUpki5fSfDYDNZqOgoKDWYhLxJypmRPzcxIkTefLJJ3nrrbd49tlnK2zXuHFjVqxYgWEYpQqDzMxMHA4HcXFxnnYOh4MjR46U+qOZkZFR6nqxsbFYLBauu+467rrrrnK/ZqtWrWqUU0pKCn369Kmy3ekFTkkOn3zyCS1atKjwvJK8Ts+pon2na9KkSZmOuWejJJ709PQyRdKBAwc8eYlI+fSYScTPJScn8+CDD3LxxRdzww03VNhu+PDh5Obm8vnnn5faXzKCZ/jw4QAMGzYMgI8++qhUu5kzZ5b6HBYW5pn7pXv37vTp06fMq7w7CHXpwgsvJCgoiN9//73ceEoKpA4dOpCYmMjHH39cajj37t27WbZsWZVfZ/To0SxcuJCtW7dW2MZmswFU627JBRdcAFCmA++qVavYsmWL52cjIuXTnRmRAPDcc89V2eb666/nzTff5IYbbmDXrl1069aNpUuXMnXqVMaMGcOIESMAGDVqFOeffz4PPfQQeXl59OnThx9//JEPPvigzDVfffVVzj33XM477zzuuOMOWrZsSU5ODtu3b+d///tftUYG1aaWLVvy9NNP89hjj7Fjxw4uuugiYmNjOXjwICtXriQ8PJzJkydjNpt55plnuPnmm7nsssu45ZZbOH78OKmpqeU+ejrd008/zdy5czn//PN59NFH6datG8ePH2fevHlMmjSJjh070qZNG0JDQ/noo4/o1KkTERERJCUlkZSUVOZ6HTp04NZbb+X111/HbDYzevRodu3axRNPPEGzZs34y1/+UhffLpGAoWJGpIEICQlh4cKFPPbYY7z44oscOnSI5ORkHnjgAZ566ilPO7PZzJdffsmkSZN44YUXKC4uZvDgwXzzzTd07Nix1DU7d+7ML7/8wjPPPMPjjz9OZmYmMTExtGvXrkxn3fryyCOP0LlzZ1599VU+/vhjioqKSEhIoG/fvtx+++2edn/+858BeP755xk/fjwtW7bk0UcfZfHixeUuE3Gq5ORkVq5cyVNPPcVzzz3HkSNHaNKkCeeeey6NGjUC3Heu3nnnHSZPnsyoUaOw2+089dRTFS6LMH36dNq0acPbb7/Nm2++SXR0NBdddBHTpk2r9ztcIv7GZBh1NGWmiIiISD1QnxkRERHxaypmRERExK+pmBERERG/pmJGRERE/JqKGREREfFrKmZERETErwX8PDMul4sDBw4QGRlZ7touIiIi4nsMwyAnJ4ekpCTPumoVCfhi5sCBAzRr1szbYYiIiEgN7N27t8qFXQO+mImMjATc34yoqKhavbbdbmfBggWMGjUKq9Vaq9f2BcrP/wV6jsrP/wV6jsqv5rKzs2nWrJnn73hlAr6YKXm0FBUVVSfFTFhYGFFRUQH7S6r8/Fug56j8/F+g56j8zl51uoioA7CIiIj4NRUzIiIi4tdUzIiIiIhfC/g+M9XldDqx2+1ndI7dbicoKIjCwkKcTmcdReY95eVntVqxWCxejkxEROSkBl/MGIZBRkYGx48fr9G5CQkJ7N27NyDnsKkov5iYGBISEgIyZxER8T8NvpgpKWTi4+MJCws7oz/QLpeL3NxcIiIiqpzQxx+dnp9hGOTn55OZmQlAYmKilyMUERFp4MWM0+n0FDKNGzc+4/NdLhfFxcWEhIQEbDFzen6hoaEAZGZmEh8fr0dOIiLidYH3F/gMlPSRCQsL83Ik/qXk+3WmfYxERETqQoMuZkqo78eZ0fdLRER8iYoZERER8WsqZkRERMSvqZjxMyaTqdLXxIkTAVi4cCHDhg2jUaNGhIWF0a5dO2644QYcDgcAhYWFTJw4kW7duhEUFMS4ceO8l5SIiMhZaNCjmfxRenq6Z3v27Nk8+eSTbN261bMvNDSUTZs2MXr0aO69915ef/11QkND2bZtG5988gkulwtwj+QKDQ3l3nvvZc6cOfWeh4iI+C/DMMgvdnIst5DjRZBX5CDGiwtpqpjxMwkJCZ7t6OhoTCZTqX0AM2bMIDExkRdeeMGzr02bNlx00UWez+Hh4UyfPh2AH3/8sUaTBoqINDiGAU47uOzgcuCwF5NfUEhRcRFmw0EQLoJwYDGcWAwHOAppnPMrpp3hYMJzHi4HOE+8e/Y5cTmKKbbbKSw++SoqtlNkt1NU7KDYYcfhcOJwOHA4nDidDlwuJxYMzCYDCy6CTAZWs0GQ6cTLbBCEQZDJ6f6ME8uJthac4HJiuBwYLieGYeByGbgMA6cBTpeBywVOw8DpKtnn/gxgAJ2Bn/I2MvrGx7z2Y1ExcxrDMCiwV29pApfLRUGxk6Bix1nPMxNqtdTaKKGEhATS09NZsmQJ559/fq1cU0Sk3hkGOIrAng/2AnAUurcdReAowmUvpLAwj4KCAgoL8ikuLMBwFGJ2FmNyFWF2FmF2FrtfrmJMziJMLjsmZ7H75bKf+GwHZ7H7VXLcZcfssmM2HJhdDsy4ixMLrlIhBgFRVaRxLsD26qVsBkJOvHyW6cTrFD/ZD3ollBIqZk5TYHfS+cn59f51Nz99IWHBtfPjuPLKK5k/fz5DhgwhISGBAQMGMHz4cK6//nqioqr6ZyciUgWXy11YlBQX9oIT74UY9nyKC3LJy8vFXpB7oo37uMlRgMleACfeTQ73/l7HD5O34zksrkLMjgIsjkIszkKCXIWYMCoMwwyEnXh5k9Mw4cDiedkJwokZO0E4DEupYw7MOE4cP/WYu70F54nPZpMZS1AQQRYLQUFBWIOCsFqDCLK4t4OCLAQFWbFag7CYLbhMZlyG6cR1wWGYsbvA7jK5XwYUu8wUu0ye9yInFLnMWCyWE1/LSlCQheAgM7YgM6FWMyFWCyFWMyFBJ95PfC45bsZgzS+/0GfElV79GaiYCUAWi4UZM2YwZcoUvv/+e5YvX86zzz7L888/z8qVK7UMgUhDZRjuoqMwy/0qOH5yuzALirKgKKfUyyjKxijMwSjKgcJssOdjcRZW+CVMgO3Eq7oaAxRV3qbYsFBIMEUEU2gEU4SVYqwUYcWOFac5GJclGIc5mGKCsZ84bjdZKSaYYlMQDpMVhynYXUyYrDhM7neXKQhTUDBBwSFYrDaCrDaswe6XzWYj5MQrNMRGaEgIYSEhhIbaCLOFEBkeSpgtGFuQGRvuxzIOlwuH08DhMigoKmZB2recP3QYmCw4Tjlud7qwmE3Ygizu861mgi1mwm1BhFj9Y3Z1u91O+g4zveI7eTUOFTOnCbVa2Pz0hdVq63K5yMnOITIqslYeM9W25ORkrrvuOq677jqmTJlC+/bteeutt5g8eXKtfy0RqUcuJ+QfgdyDkJsJBcdOKUqOYxRkUZx3jKLcozjzj2MuysJqz8HmyHH34zgD5TxRKKXICKKQYAqwUWgEU0AwhdgoJBi7OYRiUzCFhFBsslF04mU3uY+5XzayCpzYIhvhsITiCgolOCQca0g41tBwQkLDsYWGExEWSmSIlciQIM97kxPvvvSH32I2YTFbsJ346xoWBNHBkBwTitWLHWQDnYqZ05hMpmo/7nG5XDiCLYQFB/n82kyxsbEkJiaSl5fn7VBEpDynFyh5hzBnHaDL/pVYvvgf5B8+sT/T3c5wVXipqu6OOAwz2YSRbYSTRTjZRhg5hJFthJFLKLmEkmOEkksYucbJzy5rOCER0URERBEdFUlMVBRNosOJj7TRJNJGo/BgYsKCaR5qJSy4ev0A7XY733zzDWPGjNEfe6kxFTMB6B//+Adr167lsssuo02bNhQWFvL++++zadMmXn/9dU+7zZs3U1xczNGjR8nJyWHt2rUA9OzZ0zuBiwQalxPyDrsLkBMFyqnFCrmZngLFyD+C6bQCxQK0Bcgs59KGiaNEctiI5pgReaI4CTtRnISTYwrDFBKNLbIx1vBYLGExBIXFYg6LwRwcTkhwELYgdx8Id/8HCzFBZmwnPrv7RViwWU+2sQX5zh0QkVOpmAlA/fr1Y+nSpdx+++0cOHCAiIgIunTpwueff86QIUM87caMGcPu3bs9n3v16gW4R3SJSCVcTncRknMAsg9Adjpk74ec9BPFyqFq3UE5lYmTBcohI5rDRjSHcb+X/RzDUSLBHERKbCgtG4fTKi6clo3DaNM4nOaNw0iOCfWpxy8idUnFjB+bOHGiZ8bfU/Xq1YsPPvigyvN37dpV+0GJBIriPDi6A45sP/H63f3K3g85GWBUcwqHcgqUQ0YMh42o0z5Hc5RIDJOFCJu7X0h4sAV7QQ6tkuJJjAmlT1QITaNsxEeF0LJxOCmxoVgtvv2IW6Q+qJgRkYbLaYfje04pWE4pXLL3V3qqYTKTFxzHEVMce50x/F4YxQFXrLtoOaVAOWaKJKVRJJ0So2jeOIyEqBCSI0PoFBpEWLCFUGsQ4TYLocEWwoODSvU1OdmfpJf6k4hUQsWMiAQ2w3A//il1h+XE9rFd7plXK2C3xZId1oKD1mR2GUlssTdh9fEIthe6CxZXQem7IpG2IDomRtIxIYqLEqPomBhJh6aRhNv0n1qRuqR/YSISGFxOOL4bDm11vw7/Bod+hcPboCi7wtMc5hCOhjTjQFAKO40EthTFsyY/jm2OeI4XRkJW2XMsZhNt4sJpnxBJx6aRdEhw33lJiQ2ttZm8RaT6VMyIiP/JzYSM9Zj3r6P3zgUE/et5950WZ/kzrxkmC1khSew1JbHVHs+6giZsdyWy05XAQWIx8sv2O7GYTaREh9C8URjNG4XR7MSrbZMI2sSHa2SPiA9RMSMivssw3H1aDvwCGRsgfb37PTcDcA9dTjm1fVAIzkZtORLakm2uJJbnNOG7wzFsd8RTXFC6z0mEzT0SqHNMKInRISTFhJIUE0JidChJ0aEkxoSoc62In1AxIyK+w14AB9bCvpWwdyXsW+Ue6lyGCRq3xdW0K+uOBOFsNYwVuU34Nt3G+n15OF2lpxeIiwimb8tG9G4RS4eESNrGR5AQFaJHQiIBQsWMiHhP7iHY/SPsWQ57V7jvurjspduYg6BpV0jsgZHQnYNh7VmRn8CK/UWs2nmEbZl5sBvAfuIFKbGh9GvZiH6tGtG3VSNax4WrcBEJYCpmRKT+ZB+A3ctg11L3++GtZdtENIWUvtCsH/bEPmyiNT/vL+DnXcdYveEYh3JygJxSp7RtEk6/1o3p36oRfVs2IikmtH7yERGfoGJGROrOsd3uomX3Utj1IxzbWbZNfBdoMQiaDyA7rierjkXw857jrN5wjHVzj1Pk+KVUc6vFRNfkaPq0iKVnShTHt63mj5cO1jwsIg2YihkRqT15R2DnIvh9IexYDFl7Sh83mSGhG7Q4F6PFIPZG9mTlQVi9+yir0o6xPbPsnZrYMCu9W8TSu4W7z0v3lGjPNP12u51vdtV9WiLi21TM+JmqnvvfcMMNvPvuu5hMJj777DPGjRtX6vjEiRM5fvw4n3/+OQBLlizhxRdfZPXq1aSnp5d7jkiFHEXu/i47FroLmPR1wCmdb00WSOoFLQdDi3M5FncOS/YUsXjrIX749DCHctaVuWTruHB6t4ilT0t3AdOmifq7iEjlVMz4mfT0dM/27NmzefLJJ9m69eT/zYaGnllfgby8PHr06MGNN97I5ZdfXmtxSgDLOwLb5sPWb2D792DPK308vgu0GQath0HzAWQWB/G/del8/e0B1u5dwakDjYItZrqluB8Z9T7xahxhq998RMTvqZjxMwkJCZ7t6OhoTCZTqX1navTo0YwePbo2QpNAdni7u3jZ+o171NGpK0FHNHUXLm2GQeuhEJlATqGdeRsz+OKDTSz7/XCpAqZjQiRDOjRhaPt4ejWP0crOInLWVMyczjDAnl+9ti6Xu22xBcxnObmWNQx0K118ybFdsPFT9+vghtLHErpDhzHQYTQk9gCTiWKHi0VbM/li7S98u+UgRY6TBc85zWO4tGcyo7o0JTFaI41EpHapmDmdPR+mJlWrqRmIqa2v++gBCA6vrasBcPXVV2OxlP6/3qKiIsaOHVurX0cCSNZ+2PQZbPoU9q8+ud8cBC3Pg45jof1FENMMAJfLYNXOo3y+9gDfbEgnq+DkHDFtmoQzrmcyl/ZMpnnjsPrOREQaEBUzAez//u//GDFiRKl9Dz/8ME6n00sRiU8qzIbNn8O6We4J7EqYzNDqfOgyHjpdDGGNPIe2pGfz+dr9/G/tAQ5kFXr2x0fauKRHEuN6JdMlKUodd0WkXqiYOZ01zH2XpBpcLhfZOTlERUZiro3HTLUsISGBtm3bltoXGRnJ8ePHa/1riZ9xOWHnElj3MWz+EhwFJ481HwRdx0PnSyEi3rN737F8vlx3gC/WHGDrwZOT1kXagrioawLjeiUzoHVjLGYVMCJSv1TMnM5kqv7jHpcLrE53+7MtZkTqw+HtsG4mrJsN2ftO7m/cDnpOgO5/hOiTSzceyyvm6w3pfLn2ACt3HfXsD7aYGdaxCeN6JjOsY7w68YqIV6mYaeByc3PZvn275/POnTtZu3YtjRo1IiUlpZIzxV9YXEWY1s2EdR+5RyKVCImGrle4i5jk3p4O6MUOF9//msknq/ex+LdM7E73UCSTCfq3asS4nsmM7ppIdJhm3BUR3+DVYiY1NZXJkyeX2te0aVMyMjIAMAyDyZMn889//pNjx47Rv39/3nzzTbp06eKNcAPSzz//zLBhwzyfJ02aBLgn33vnnXe8FZbUhsxfMa96mws3fkjQuhMj9ExmaDsCelztHo1kDfE037g/i09W7+OLtfs5ln+yI2/nxCjG9Uri4h5JGokkIj7J63dmunTpwrfffuv5fOromxdeeIGXX36Zd999l/bt2zNlyhRGjhzJ1q1biYyM9Ea4PmXixIlMnDix3GOGYZS7/9133y31eejQoRW2dblc5e4XH+YocveB+fkd2LMMC2ABjJgWmHpPdN+FiTw5L1FukYM5q/cxa9VetqRne/bHR9q47JxkLj8nhfZN9W9NRHyb14uZoKCgcid9MwyDV155hccee4zx48cD8N5779G0aVNmzpzJbbfdVt+hiviu/KOw6m1Y+U/Iy3TvM1lwtb+I5Y5O9L3qIazBJ2fW3XEol/d/2s0nq/eRW+QA3P1gRnZpyhW9UzivbRxBFvUDExH/4PViZtu2bSQlJWGz2ejfvz9Tp06ldevW7Ny5k4yMDEaNGuVpa7PZGDJkCMuWLauwmCkqKqKoqMjzOTvb/X+bdrsdu91eqq3dbscwDFwuV43uQpTc0Si5RqCpKD+Xy4VhGNjt9jLz2PiTkt+H038v/MqR7ZhXvoV5/WxMJ0YkGZGJuHpdj6vHtdhD4ziUlobd4QSTnd8O5vD3RTv5ZlMGJTfkWseFc23/ZlzcPZGYE/1gDJcTu8v3h/AHxM+wEoGeHwR+jsrv7K9dHSajomcM9WDu3Lnk5+fTvn17Dh48yJQpU/j111/ZtGkTW7duZfDgwezfv5+kpJOT2N16663s3r2b+fPnl3vN8vrhAMycOZOwsNLDn0vuCjVr1ozg4ODaTS6AFRcXs3fvXjIyMnA4HN4Op0GKzfuddge/JCFrLaYTCzseD23J9viLOBDbD8NU+v9T9ufB/H1m1h09ebelc4yLIYkGHaINTT4tIj4nPz+fCRMmkJWVRVRUVKVtvVrMnC4vL482bdrw0EMPMWDAAAYPHsyBAwdITEz0tLnlllvYu3cv8+bNK/ca5d2ZadasGYcPHy7zzSgsLGTv3r20bNmSkJCQ0y9VJcMwyMnJITIyMiAnB6sov8LCQnbt2kWzZs1q9H3zFXa7nbS0NEaOHInV6h8jc0z7VmL+4f9h3vG9Z5+r3YW4+t+J0XxQmSUxtmVk8ejHP7H2lCLmoi5NuXNIazol+n9fGH/8GZ6JQM8PAj9H5Vdz2dnZxMXFVauY8fpjplOFh4fTrVs3tm3bxrhx4wDIyMgoVcxkZmbStGnTCq9hs9mw2cquumu1Wst8o51OJyaTCZPJVKNJ70oevdT0fF9XUX4l37Pyvqf+yC/y2L0MFj8POxa5P5ss7hFJ596POa4dp//2ZeYU8tp32/h45V6cLjMmE/yhexJ3D2tLhwT/L2JO5xc/w7MQ6PlB4Oeo/Gp2zeryqWKmqKiILVu2cN5559GqVSsSEhJIS0ujV69egPvxxuLFi3n++edr5euVfKPy8/MJDdWQ0+rKz3cP8w3kf5g+Y/9q+DbVPVsvuNdI6jkBzp0EjVqVaZ5b5OCfS3bw7x92kF/s7vPSOcbFi9cOpktKozLtRUQCgVeLmQceeICLL76Y5s2bk5mZyZQpU8jOzuaGG27AZDJx//33M3XqVNq1a0e7du2YOnUqYWFhTJgwoVa+vsViISYmhsxM9+iPsLCwM3pc5HK5KC4uprCwMGDvzJyan2EY5Ofnk5mZSUxMjF93/vV5R36H7552r5kEYLZCr2vhvEkQ07xM82KHi1mr9vDad9s4nFsMQI9mMTw4si1HtizX8GoRCWheLWb27dvH1VdfzeHDh2nSpAkDBgxg+fLltGjRAoCHHnqIgoIC7rzzTs+keQsWLKjVOWZKhoWXFDRnwjAMCgoKCA0NDdg+M+XlFxMTU+5weqkFuZnux0mr3wWXAzBBjz/BsEfLLWIMw+DrDem8OH8ru4+475i1igvnwQs7MLprAg6Hg2+21G8KIiL1zavFzKxZsyo9bjKZSE1NJTU1tc5iMJlMJCYmEh8ff8ZDy+x2O0uWLOH8888PyEcu5eVntVp1R6YuFOfBstfhx9fAnufe13YkjEiFhK7lnrLs98M8N/dX1u/LAiAuwsZ9I9rxp77NsGqOGBFpQHyqz4w3WSyWM/4jbbFYcDgchISEBGQxE+j5+QTDgI1zIO1JyN7v3pd0DoycDK3OL/eU7Zm5TPtmC9/96r6bGB5s4dbz23Dzea0It+mftIg0PPovn4i3HFgLcx+Gvcvdn6Obu4uYLpeVGWINcDSvmFe//Y0PV+zB6TKwmE1c078591zQjiaRZUfwiYg0FCpmROpb7iH4/mn45QPAAGuYe3TSoLvBWnZUXZHDyfvLdvPa99vIKXRPUjiiUzx/G92JtvER9Ry8iIjvUTEjUl9cTvf6Sd8/A0UnFnXsdiWMmAzRyWWaG4bBvI0ZTJv7K3uOujv3dkqM4omxnRjUNq4+IxcR8WkqZkTqQ/p6+N99cOAX9+fEnjD6eWg+oNzmvx3M4ckvNrJ8x1EAmkTaePDCDlx+TgoWc+CNnBMRORsqZkTqUlEuLJoGy6eD4QRbFAx/EvrcBOayHc5zixy89t023lm6E4fLwBZk5rbzW3PbkDbq3CsiUgH911GkrmydB1//FbL3uT93uQwueg4iy87RYxgG32zI4JmvNpORXQjAqM5NeeIPnWnWKKxMexEROUnFjEhtKzgGc/8G60/MoxTTHMa+DO1Gltv8cG4Rj322gfmbDgLQvFEYqZd05oKOFa9BJiIiJ6mYEalN29Lgy3sgJx1MZhh4Fwx9FILLv7vyzYZ0Hv98I0fzigkym7hzWFvuHNqGEKsmJhQRqS4VMyK1oTAb5j8Kaz5wf27UBi57C5r1K7d5dqGdxz/byJfrDgDQMSGSl/7Ygy5J0fUVsYhIwFAxI3K29iyHObdA1h735/53uDv5VnA3ZsO+LO6a+Qt7juZjMZu4c2gb7rmgHcFBWoJARKQmVMyI1JTLCT+87B6tZDghpgWM+zu0PLfc5oZh8MHy3Uz5agvFThcpsaG8fnUvejWPrefARUQCi4oZkZrITodPb4FdP7g/d7vS3ck3JKr85oV2/jZnPd9syADcI5VevKIH0WFa80pE5GypmBE5U7/Nh8/vgPwjYA2Hsf8Pelxd7npK4F4Y8tb3f2bH4TysFhOPjO7EjYNbYqqgvYiInBkVMyLV5XLCwmfhh5fcnxO6wRUzIK5dhad8/+tB7vt4LTlFDpKiQ/j7tb3p2SymfuIVEWkgVMyIVEf+Ufdjpe3fuj/3uw1GPQNB5a9WbRgGf1/0O/9vwVYMA/q2jGX6tb2Ji9Dq1iIitU3FjEhVMjbA7Gvh2C4ICoVLXoPuf6yweX6xg4c+Wc9X69MBmNC/OakXd9FoJRGROqJiRqQy6//rngTPUeAerXTVh5DYvcLmmdmF/Pm9n9mwP4sgs4nUS7pw7YAW9RiwiEjDo2JGpDwuFyyccrJ/TJvhcPm/IaxRhadszcjhpndXsf94AY3Cg5l+zTn0b924ngIWEWm4VMyInM5e4B6ttOkz9+dz/wIXPFHuKtcllm47zB0frianyEHruHBm3NiXFo3D6ylgEZGGTcWMyKlyD8Gsq2HfKjBb3f1jek6o9JT/rNrLo59twOEy6NeyEf+4rjex4cH1FLCIiKiYESmR+SvM/CMc3w0hMe7+Ma3Oq7C5YRi8tOA33li4HYBLeybxwhXdsQVpkUgRkfqkYkYEYNdS+HgCFGVBbCu45r+Vzh9T7HDx0Cfr+Hyte6HIey9oy19GttdEeCIiXqBiRho809Zv4LNbwFkEzQbAn2ZCeMUdd/OKHNz+4Wp+2HaYILOJqeO78cc+zeoxYhEROZWKGWnQmh9ZgmXtO2C4oMNYuOIdsIZU2P5oXjE3vruKdXuPExZsYfq1vRnSvkk9RiwiIqdTMSMNlvmn1+m159/uDz2vhYtfBUvF/yT2Hy/g+rdX8PuhPGLDrLwzsa9WvBYR8QEqZqThMQxIewLLstcBcA64G8uFUypcKBJge2YO1729kvSsQpKiQ3j/z/1oGx9ZXxGLiEglVMxIw+JywdeTYPUMADYlXUX74alYKilk1u49zsQZKzmeb6dtfATv39SPpJjQ+opYRESqoGJGGg6XC/53L6z5ADDhGPsK2w/E0r6SU1buPMqNM1aSV+ykZ7MYZkzsqzlkRER8jFa+k4bB5YQv7nQXMiYzjP8XRs9rKj3lx+2HueEddyEzqE1jPrq5vwoZEREfpDszEvicDvj8dtjwXzBZ3GssdR0PdnuFpyzcmsltH6ym2OFiaIcmvHVtb0KsmgxPRMQXqZiRwOa0w6e3uNdZMge5h153vrTSU+ZvyuDumb9gdxqM7NyUNyb00qy+IiI+TMWMBC6XEz677UQhY4U/vgcdx1Z6ytfr07l31hqcLoOx3RN55aqeWC16Gisi4stUzEhgKunsu3GOu5C56kPocFGlpyzYlOEpZMb3SuaFK7oTpEJGRMTnqZiRwGMYMP8RWPOhu7PvFW9XWcgs3JrJXTN/wekyuKxXMi9e2QOLWessiYj4AxUzEni+expWvOXeHje9yj4yP+04wu0frMHuNBjbLZEXr+iuQkZExI+omJHAsuT/wdKX3dtjX4Yef6q0+e/Z8K8P11DkcDGiU1Ne+VNPPVoSEfEzKmYkcKx+D75/xr09agr0/XOlzTcdyOYfv1oocroY0r4Jb17TS519RUT8kP7LLYFh6zz46i/u7fP+CoPuqbT53qP53PzBLxQ5TfRvFcs/ruut4dciIn5KxYz4v72r4L8TwXBCz2vggicqbX4kt4jr31nJ4dxiksMMpk/oqQnxRET8mIoZ8W+Ht8PMP4KjANqOhItfrXT167wiBze9u4qdh/NIjgnhtk5OIkOs9RiwiIjUNp8pZqZNm4bJZOL+++/37Js4cSImk6nUa8CAAd4LUnxLzkH48DIoOApJveDKd8FScWHicLq4a+YvrNuXRWyYlXeu7020lloSEfF7PtEBeNWqVfzzn/+ke/fuZY5ddNFFzJgxw/M5OFh/fQSwF8Csq+H4HohtBRP+C7aISk+Z8vUWFm09RIjVzNsT+9K6STi/1lO4IiJSd7x+ZyY3N5drrrmGf/3rX8TGxpY5brPZSEhI8LwaNWrkhSjFpxgGfHEX7F8NITFw7RyIaFLpKR8u3827y3YB8MpVPTmnednfNRER8U9eL2buuusuxo4dy4gRI8o9vmjRIuLj42nfvj233HILmZmZ9Ryh+JzFL5xYpiDIvUxB4zaVNl+2/TBPfbkJgAdGteeiron1EaWIiNQTrz5mmjVrFr/88gurVq0q9/jo0aO58soradGiBTt37uSJJ57gggsuYPXq1dhstnLPKSoqoqioyPM5OzsbALvdjt1ur9X4S65X29f1Fb6Yn2nz5wQtmgqA46IXMVIGQCXx7TqSxx0frcbpMri4ewK3ntuiTF6+lF9tC/QclZ//C/Qcld/ZX7s6TIZhGLUeQTXs3buXPn36sGDBAnr06AHA0KFD6dmzJ6+88kq556Snp9OiRQtmzZrF+PHjy22TmprK5MmTy+yfOXMmYWFhtRa/1L+YvB2cu+1ZLIad7U0uZFPKNZW2z3fA/22wkFlookWEwT1dnFi9fi9SRESqIz8/nwkTJpCVlUVUVFSlbb1WzHz++edcdtllWCwn5/dwOp2YTCbMZjNFRUWljpVo164dN998Mw8//HC51y3vzkyzZs04fPhwld+MM2W320lLS2PkyJFYrYE3vNen8ss9SNDbwzHlZuBqMwLnHz8Cc8Vzw7hcBrd+uIbF2w6TGB3CnNv60ySy9N08n8qvjgR6jsrP/wV6jsqv5rKzs4mLi6tWMeO1x0zDhw9nw4YNpfbdeOONdOzYkYcffrjcQubIkSPs3buXxMSK+zzYbLZyH0FZrdY6+0Wqy2v7Aq/n57TDZ7dAbgbEdcB85QzMtpBKT3nl299YvO0wtiAz/7q+D0mNKh7p5PX86kGg56j8/F+g56j8anbN6vJaMRMZGUnXrl1L7QsPD6dx48Z07dqV3NxcUlNTufzyy0lMTGTXrl08+uijxMXFcdlll3kpavGKtKdgzzIIjoQ/fQQhlVfoi7Zm8up32wB49rJudE2Oro8oRUTES3xinpnyWCwWNmzYwPvvv8/x48dJTExk2LBhzJ49m8jISG+HJ/Vl4xxY/qZ7+7LpENeu0uZ7j+Zz36y1GAZM6N+cK3qn1EOQIiLiTT5VzCxatMizHRoayvz5870XjHhf5hb44sSCkef+BTpdXGnzQruTOz5aTVaBnR4p0Tx1ced6CFJERLxNYzvENxVmwexrwZ4HrYbAsMerPOWpLzaxcX82sWFW/n6tVsEWEWkoVMyI7zEM+PJeOLIdolLginfAUvlNxM/W7GP2z3sxmeC1q3uRHBNaT8GKiIi3qZgR37P6Xdj8uXuG3z++B+FxlTbfeTiPxz/bCMB9w9txXrvKlzYQEZHAomJGfEvmFpj3N/f28KcgpU+lzYsdLu79eA15xU76t2rEPRdU3kFYREQCj4oZ8R3F+fDfG8FRCG1HwMC7qzzlhXm/smF/FjFhVl75U08sZlM9BCoiIr5ExYz4jvmPwKEtENEUxr0F5sp/PRduzeTfS3cC8OIVPUiMVj8ZEZGGSMWM+IZNn7n7ymCC8f+EiMr7vRzMLuSv/1kHwMRBLRnZuWndxygiIj5JxYx4X9Y++PI+9/Z5k6D10EqbG4bBA/9dx9G8YjonRvG30R3rPkYREfFZKmbEu1wu+PxOKMqC5D4w9JEqT/lw+W5+OLHu0mtX9yLEqvlkREQaMhUz4l2r/gU7F4M1zP14yVL5wmI7D+fx7DdbAHhkdEfaxle8gKSIiDQMKmbEew79BmlPurdHPg2N21Ta3OF08ZfZaym0uxjctjHXD2xZ9zGKiIjPUzEj3uF0wGe3uYdhtx4GfW+u8pS3Fv/O2r3HiQwJ4sUremDWMGwREUHFjHjL0pfhwC8QEg2XvgmmyguTjfuzeOXbbQBMvqQLSVquQERETlAxI/XvwBpY/Lx7e8xLEJ1cafMih5NJ/1mLw2UwumsCl/WqvL2IiDQsKmakfjnt8MXd4HJA53HQ7YoqT3nj++38djCXuIhgpozriqmKuzgiItKwqJiR+vXjK3BwI4Q2grEvVfl4afOBbKYv+h2AZy7tSuMIWz0EKSIi/kTFjNSfQ1th8Qvu7dHPV7katsPp4uE563G4DC7qksDobon1EKSIiPgbFTNSP1wu+PJecBZDu1HQ7coqT3l76U427M8iKiSIpy/tUg9BioiIP1IxI/Xj57dh73IIjoCxL1f5eGnn4TxeTvsNgMf/0Jn4qJD6iFJERPyQihmpe8f3wrep7u0RqRDTrNLmLpfB3+asp8jh4ty2cVzZO6XOQxQREf+lYkbqlmHA15OgOBeaDYA+f67ylI9X7WHFzqOEWi1MG99No5dERKRSKmakbm3+ArYtAEswXPI6mCv/lTuUU8Rzc38F4IELO9CsUVh9RCkiIn5MxYzUnaJcmHdiFexz/wJN2ld5yrS5W8gpdNAlKYqJg1rWbXwiIhIQVMxI3Vn8POQcgJgW7mKmCit2HOHTX/ZjMsGUcV2xaO0lERGpBhUzUjcyt8Dyv7u3x7wI1srXUrI7XTzxxUYA/tS3Ob2ax9Z1hCIiEiBUzEjtMwz4+gH3kgUdxkL7C6s8ZcaPO/ntYC6NwoN56MIO9RCkiIgEChUzUvs2/Bd2L4WgUBj9XJXNDxwv8KyI/bfRHYkND67rCEVEJIComJHaVZgF8x9zb5//AMQ0r/KUZ77aTH6xkz4tYrniHM0pIyIiZ0bFjNSuRc9DXiY0bguD7qmy+dJth5m7MQOL2cQz47piVqdfERE5QypmpPYc3g4r/+HeHv08BFW+wrXD6eLprzYBcN2AFnRKjKrrCEVEJACpmJHak/aEu9Nvu1HQdkSVzT9euYffDuYSE2bl/hHt6iFAEREJRCpmpHbsWARbvwGTBUZNqbJ5Vr7ds5DkpJHtiQlTp18REakZFTNy9lzOk51++94MTaoeWv3qd9s4lm+nXXwEE/pV3UlYRESkIipm5Oyt+QAOboSQGBj6tyqbb8/M5f2fdgHwxB86E2TRr6GIiNSc/orI2SnMhu9PPFYa8jCENarylKnfbMHhMhjeMZ7z2zep4wBFRCTQqZiRs7P0Zcg7BI3auB8xVeHH7Yf5/tdMrBYTj43tVA8BiohIoFMxIzV3fC/8dGL9pVFTIKjyTrwul8Fzc38F4Jr+LWjdJKKuIxQRkQZAxYzU3KJp4CyCludBh9FVNv96Qzob9mcRYQvingva1kOAIiLSEKiYkZrJ3ALrPnZvj0gFU+Uz9xY7XPy/BVsBuPX81jSOqHxCPRERkepSMSM1890zYLig08WQ0qfK5rNW7WH3kXziImz8+dxW9RCgiIg0FCpm5MztWQFbvwaTGS54ssrmuUUOXvvOvSr2fSPaEW4LqusIRUSkAVExI2fGMODbVPd2z2ugSfsqT/n3Dzs4nFtMy8Zh/Klvs7qNT0REGhyfKWamTZuGyWTi/vvv9+wzDIPU1FSSkpIIDQ1l6NChbNq0yXtBCmxLgz3LwGKDoY9U2fxoXjH/WrIDgAcu7IBVE+SJiEgt84m/LKtWreKf//wn3bt3L7X/hRde4OWXX+aNN95g1apVJCQkMHLkSHJycrwUaQPncsF3T7u3+98K0clVnvKPJb+TV+yka3IUY7om1nGAIiLSEHm9mMnNzeWaa67hX//6F7GxsZ79hmHwyiuv8NhjjzF+/Hi6du3Ke++9R35+PjNnzvRixA3Yli/g4AawRcG5k6psfji3iPeX7QbgLyPaYzZXPuJJRESkJrzeE/Ouu+5i7NixjBgxgilTTq62vHPnTjIyMhg1apRnn81mY8iQISxbtozbbrut3OsVFRVRVFTk+ZydnQ2A3W7HbrfXauwl16vt6/qKUvkZLoIWPYcJcPa7DZc1EqrIe/rCbRTYnXRPjuK8NrE+930K9J8fBH6Oys//BXqOyu/sr10dXi1mZs2axS+//MKqVavKHMvIyACgadOmpfY3bdqU3bt3V3jNadOmMXny5DL7FyxYQFhY2FlGXL60tLQ6ua6vSEtLI+nYcvoe+hW7JYwFx1vj+OabSs/JKob3f7EAJgZFHmPu3Ln1E2wNBPrPDwI/R+Xn/wI9R+V35vLz86vd1mvFzN69e7nvvvtYsGABISEhFbYznTYZm2EYZfad6pFHHmHSpJOPQLKzs2nWrBmjRo0iKirq7AM/hd1uJy0tjZEjR2K1Wmv12r7Ak9/wCwh9133XzDz4Hkadd2WV50755lfsxh56NYtm0oR+lf7MvCXQf34Q+DkqP/8X6Dkqv5orebJSHV4rZlavXk1mZia9e/f27HM6nSxZsoQ33niDrVvds8VmZGSQmHiy42hmZmaZuzWnstls2GxlZ5e1Wq119otUl9f2BcHbv8Z0+DcIicYy6C4sVeR6MLuQj1ftA2DSqA4EB1e+ZpO3BfrPDwI/R+Xn/wI9R+VXs2tWl9c6AA8fPpwNGzawdu1az6tPnz5cc801rF27ltatW5OQkFDq1lVxcTGLFy9m0KBB3gq74TFcWH74f+7tgfdASHSVp/x94XaKHS76tozl3LZxdRygiIg0dF67MxMZGUnXrl1L7QsPD6dx48ae/ffffz9Tp06lXbt2tGvXjqlTpxIWFsaECRO8EXKDlHxsOaYj2yA0FvqX3+n6VOlZBXy8ci8AfxnZ3icfL4mISGDx+mimyjz00EMUFBRw5513cuzYMfr378+CBQuIjIz0dmgNg8tJh4wv3NsD74aQqvscTV/0O8VOFwNaN2JQG92VERGRuudTxcyiRYtKfTaZTKSmppKamuqVeBo609aviCxKxwiJwVSNuzKZOYXMWuW+K3Pv8HZ1HZ6IiAjgA5PmiY8yDCw/vgKAq+8tYKv6btg7S3dR7HBxTvMYBrZuXMcBioiIuKmYkfJt/xbTwQ04zDZcfW6psnlWgZ0Pl7vn/7lzaFv1lRERkXqjYkbK98NLAOyKuwDCGlXZ/IOfdpFb5KBjQiQXdIyv6+hEREQ8VMxIWbuXwZ6fMCzB/B5/UZXN84sdvPPjLgDuGNpGazCJiEi98qkOwOIjfngZAFf3qykktorGMGvlXo7mFdO8URhju2llbBERqV+6MyOlpa+D7WlgMuMaeE+VzYsdLv71ww4Abh/ShiCLfqVERKR+Vfsvz4EDB3jggQfKXSshKyuLBx98kIMHD9ZqcOIFJ+7K0PVyiG1ZZfPP1+wnPauQ+Egbl/dOrtvYREREylHtYubll18mOzu73MUao6OjycnJ4eWXX67V4KSeHd0Bm09MknfuX6ps7nQZTF/8OwC3nt8aW5ClLqMTEREpV7WLmXnz5nH99ddXePz666/nq6++qpWgxEuWTwcMaDsCmnapsnna5oPsPJxHdKiVq/s1r/v4REREylHtYmbnzp00b17xH6yUlBR27dpVGzGJN+QfhTUfurcHVd1XBuDtpe6+MtcOaE64TX3JRUTEO6pdzISGhlZarOzatYvQ0NDaiEm84ed3wJ4PTbtBqyFVNl+79zirdh3DajFx/cCWdR+fiIhIBapdzPTv358PPvigwuPvv/8+/fr1q5WgpJ45imDlP93bg+6GaszeWzKC6ZIeyTSNCqnL6ERERCpV7WcDDzzwACNHjiQ6OpoHH3yQpk2bAnDw4EFeeOEF3n33XRYsWFBngUod2vAJ5B6EyEToMr7K5nuP5jN3QzoAfz63VV1HJyIiUqlqFzPDhg3jzTff5L777uP//u//iIqKwmQykZWVhdVq5fXXX+eCCy6oy1ilLhgG/PSGe7v/bRAUXOUp7y7bhcuAc9vG0Tmp7Og2ERGR+nRGvTZvu+02/vCHP/Cf//yH7du3YxgG7du354orriAlJaWuYpS69Pt3kLkZgiOg941VNs8utDN71V4A/nye7sqIiIj3nfEQlOTkZP7yl6rnIBE/8dOb7vde10FoTJXNZ6/cS26Rg3bxEQxt36RuYxMREakGzT3fkB3aCr9/DyYzDLi9yuZ2p4sZP+4E3H1lTNXoKCwiIlLXVMw0ZCv/5X5vP7paSxfM3ZjBgaxCGocHM66Xli4QERHfoGKmoSrMhnUfu7f73VKtU0ruylw7oAUhVi1dICIivkHFTEO1diYU50JcB2g9tMrm6/cdZ82e41gtJq4ZoKULRETEd6iYaYhcLlh14hFTv1uqNUne+z/tBmBMt0TiIzVJnoiI+I4zHs0UGxtbbsdPk8lESEgIbdu2ZeLEidx4Y9XDfMVLdnwPR7aDLQp6XF1l86N5xXy57gCAli4QERGfc8bFzJNPPsmzzz7L6NGj6devH4ZhsGrVKubNm8ddd93Fzp07ueOOO3A4HNxyS/X6Ykg9W3Fi6YKe14Atosrm/129n2KHi67JUZzTPKZuYxMRETlDZ1zMLF26lClTpnD77aWH8v7jH/9gwYIFzJkzh+7du/Paa6+pmPFFR3fAthPLTvS9ucrmLgNmrnRPknf9wJYaji0iIj7njPvMzJ8/nxEjRpTZP3z4cObPnw/AmDFj2LFjx9lHJ7Vv1duAAW1HQFzbKptvOmbiQFYhMWFWLumRVPfxiYiInKEzLmYaNWrE//73vzL7//e//9GoUSMA8vLyiIyMPPvopHbZC2DNh+7tfrdW65QlGe47MVf1babh2CIi4pPO+DHTE088wR133MHChQvp168fJpOJlStX8s033/DWW28BkJaWxpAhQ2o9WDlLm7+AwuMQ3dx9Z6YK2zNz+S3LjNkE1/ZvUffxiYiI1MAZFzO33HILnTt35o033uDTTz/FMAw6duzI4sWLGTRoEAB//etfaz1QqQWr33W/n3M9mKu+yzJz1T4ALujQhGaNwuowMBERkZo742IGYPDgwQwePLi2Y5G6lLkF9vwEJgv0urbK5gXFTr5Y6x6OfXW/ZnUdnYiISI3VaNK833//nccff5wJEyaQmZkJwLx589i0aVOtBie1aPV77vcOoyEqscrm32xIJ7vQQSObwbltGtdxcCIiIjV3xsXM4sWL6datGytWrGDOnDnk5uYCsH79ep566qlaD1Bqgb0A1s10b/eu3mSGH6/cA8DAeBdms4Zji4iI7zrjYuZvf/sbU6ZMIS0tjeDgYM/+YcOG8dNPP9VqcFJLNn0OhVnujr9thlXZ/LeDOfy8+xgWs4n+8UbdxyciInIWzriY2bBhA5dddlmZ/U2aNOHIkSO1EpTUspKOv72r2fF3hfuuzAUdmhAdXEVjERERLzvjYiYmJob09PQy+9esWUNycnKtBCW1KHML7F3u7vjbs+qOv4V2J5/+4h7F9Ke+KXUdnYiIyFk742JmwoQJPPzww2RkZGAymXC5XPz444888MADXH/99XURo5yNkrsyZ9jxNzkmlMHq+CsiIn7gjIuZZ599lubNm5OcnExubi6dO3fm/PPPZ9CgQTz++ON1EaPUlKMI1s92b/eeWK1TSjr+/qlvMyzq+CsiIn7gjOeZsVqtfPTRRzz99NOsWbMGl8tFr169aNeuXV3EJ2dj6zdQcAwik6DNBVU233Ywh1W73B1/r+yjuWVERMQ/1GjSPIA2bdrQpk2b2oxFatvaE8Oxe/ypWh1/Z61yr449rEM8CdEh2O32uoxORESkVlSrmJk0aVK1L/jyyy/XOBipRdnpsP1b93bPa6psbne6+HzNfsD9iElERMRfVKuYWbNmTanPq1evxul00qFDBwB+++03LBYLvXv3rv0IpWbWzwLDBc0GQFzbKpsv/DWTI3nFxEUEM6RDk3oIUEREpHZUq5hZuHChZ/vll18mMjKS9957j9jYWACOHTvGjTfeyHnnnVc3UcqZMQxY85F7u1fVd2UAPlntHo59Wa9krJYarXIhIiLiFWf8V+ull15i2rRpnkIGIDY2lilTpvDSSy/VanBSQ/t+hiPbICgUOo+rsvmR3CK+/9W9xtYVvfWISURE/MsZFzPZ2dkcPHiwzP7MzExycnLO6FrTp0+ne/fuREVFERUVxcCBA5k7d67n+MSJEzGZTKVeAwYMONOQG561H7rfO18KIVFVNv987QEcLoPuKdF0SIis4+BERERq1xmPZrrsssu48cYbeemllzyFxfLly3nwwQcZP378GV0rJSWF5557jrZt3X063nvvPS699FLWrFlDly5dALjooouYMWOG55xT14OSchTnw8ZP3dtn+Ijpyt6a8VdERPzPGRczb731Fg888ADXXnutZ+huUFAQf/7zn3nxxRfP6FoXX3xxqc/PPvss06dPZ/ny5Z5ixmazkZCQcKZhNly/fgVF2RDTHFqcW2Xzjfuz2JKeTbDFzMU9kuohQBERkdp1xsVMWFgYf//733nxxRf5/fffMQyDtm3bEh4eflaBOJ1O/vvf/5KXl8fAgQM9+xctWkR8fDwxMTEMGTKEZ599lvj4+AqvU1RURFFRkedzdnY2AHa7vdbnTSm5ni/Nx2JZ8xFmwNntKlxOJzidlbb/zyr3jL8jOjUh3GoqlYsv5lebAj0/CPwclZ//C/Qcld/ZX7s6TIZhGLUewRnYsGEDAwcOpLCwkIiICGbOnMmYMWMAmD17NhEREbRo0YKdO3fyxBNP4HA4WL16NTabrdzrpaamMnny5DL7Z86cSVhYWJ3m4m02+3Eu3HgfJgzSOr9Ivq1ppe0dLnhytYU8h4nbOjrpHOvVXwURERGP/Px8JkyYQFZWFlFRlff/9HoxU1xczJ49ezh+/Dhz5szh3//+N4sXL6Zz585l2qanp9OiRQtmzZpVYf+c8u7MNGvWjMOHD1f5zThTdrudtLQ0Ro4cidVqrdVr14R55VtY0h7HldwH58R5Vbafv+kgd89aR9NIG4sfOL/MWky+ll9tC/T8IPBzVH7+L9BzVH41l52dTVxcXLWKmRovZ1BbgoODPR2A+/Tpw6pVq3j11Vf5xz/+UaZtYmIiLVq0YNu2bRVez2azlXvXxmq11tkvUl1e+4xs/AQAc48/Ya5GPP/bkAHAuF7JhNgq7ljtM/nVkUDPDwI/R+Xn/wI9R+VXs2tWl8/NjmYYRqk7K6c6cuQIe/fuJTExsZ6j8gOHt0H6WjBZoMtlVTbPyrez8NdDgLuYERER8VdevTPz6KOPMnr0aJo1a0ZOTg6zZs1i0aJFzJs3j9zcXFJTU7n88stJTExk165dPProo8TFxXHZZVX/sW5w1v/H/d52OITHVdn8m43pFDtddEyIpFNi7T5+ExERqU9eLWYOHjzIddddR3p6OtHR0XTv3p158+YxcuRICgoK2LBhA++//z7Hjx8nMTGRYcOGMXv2bCIjNbFbKYYBG04UM93+WK1TShaVvLSn7sqIiIh/82ox8/bbb1d4LDQ0lPnz59djNH5s389wbBdYw6HjmCqbHzhewIqdRwG4pKfmlhEREf/mc31mpAbWz3a/d/oDBFc938+X6w4A0L9VI5JjQusyMhERkTqnYsbfOe2w6cTyBWf4iEkdf0VEJBComPF3vy+E/CMQ3gRaD62y+a8Z2fyakUOwxcyYrhoVJiIi/k/FjL/b8F/3e9fLwVJ1F6jP17gfMQ3t0ITosMCd80BERBoOFTP+zF4AW79xb3e9vMrmLpfBl2vdj5gu0yMmEREJECpm/Nn276A4F6JSIKVvlc1X7jrKgaxCIkOCGNax4sU6RURE/ImKGX+26TP3e5dxYDJV2hTgixN3ZUZ3TSDEaqnDwEREROqPihl/ZS+ArXPd29VYvqDY4eKbkrWYNFGeiIgEEBUz/mpbGtjzILoZJPeusvnS7YfIKrATH2mjf+vG9RCgiIhI/VAx4682f+5+73xptR4xfbU+HYAx3RKxmKtuLyIi4i9UzPij4nzYOs+93WV8lc2LHE7SNh0EYGx3zS0jIiKBRcWMP9pe8oipOSSfU2XzJb8dJqfIQUJUCL2bx9ZDgCIiIvVHxYw/OsNRTF+vd0+UN6ZbImY9YhIRkQCjYsbfFOfBbydWE+8yrsrmhXYnaZv1iElERAKXihl/s20B2PMhpjkkVf2IadHWQ+QVO0mOCeWc5jF1H5+IiEg9UzHjbzZ/4X7vPK56j5g2lIxiSsBUjfYiIiL+RsWMP3EUueeXAfeQ7CoUFDv5bkvJI6akuoxMRETEa1TM+JMdi91rMUUkVOsR08KtmeQXO0mJDaVHSnQ9BCgiIlL/VMz4k1+/cr93HAvmqn90X5+YKG9s90Q9YhIRkYClYsZfuJyw9Rv3dqc/VNk8v9jBd7+6HzH9oZseMYmISOBSMeMv9q2CvENgi4YW51bZ/PtfMym0u2jROIyuyVH1EKCIiIh3qJjxF1v+535vfyEEBVfZfO5G9wrZo7vqEZOIiAQ2FTP+wDDg16/d2x3HVtm80O5k4a+ZAIzumlCXkYmIiHidihl/kLkZju0Eiw3ajqiy+dJth8kvdpIYHUJ3jWISEZEAp2LGH2w5MYqpzQVgi6iy+fxN7kdMF3bRRHkiIhL4VMz4g1OHZFfB4XSRdmKivAu76BGTiIgEPhUzvu7YbshYDyYzdBhdZfOVO49yPN9ObJiVvi1j6yFAERER71Ix4+tK5pZpPhDC46psXvKIaWTnpgRZ9OMVEZHAp792vm7rXPd7hzFVNnW5DOZv0iMmERFpWFTM+LLCbNi9zL1djUdM6/YdJyO7kPBgC4PbVn0XR0REJBComPFlOxaCyw6N2kDjNlU2L7krM6xjPCFWS11HJyIi4hNUzPiy3xa439tfVGVTwzCYt9G9sKQeMYmISEOiYsZXuVywraSYGVVl898O5rLrSD7BFjPDOsbXcXAiIiK+Q8WMr0pfA3mZEBwJzQdV2bxkFNN57eKIsAXVdXQiIiI+Q8WMryp5xNRmWLUWlpy38eSsvyIiIg2Jihlf9ds893s1+svsO5bP5vRszCYY3kmPmEREpGFRMeOLcjIgfa17u93IKpt/f2KF7N4tYmkcYavDwERERHyPihlfVNLxN7k3RFR9pyVts3tI9vBOTesyKhEREZ+kYsYX/Tbf/d7uwiqb5hY5WLHjKAAjVMyIiEgDpGLG1ziK4PeF7u32VRczP/x2iGKni5aNw2jTJLyOgxMREfE9KmZ8ze4fwZ4HEQmQ2KPK5mlbTj5iMplMdR2diIiIz/FqMTN9+nS6d+9OVFQUUVFRDBw4kLlz53qOG4ZBamoqSUlJhIaGMnToUDZt2uTFiOvBtjT3e7uRUEVx4nQZLNp6CNAjJhERabi8WsykpKTw3HPP8fPPP/Pzzz9zwQUXcOmll3oKlhdeeIGXX36ZN954g1WrVpGQkMDIkSPJycnxZth1a/t37ve2I6psumbPMY7mFRMVEkSflrF1HJiIiIhv8moxc/HFFzNmzBjat29P+/btefbZZ4mIiGD58uUYhsErr7zCY489xvjx4+natSvvvfce+fn5zJw505th152sfXB4K5jM0HpIlc1LHjEN7RCP1aInhiIi0jD5zLz3TqeT//73v+Tl5TFw4EB27txJRkYGo0adXJfIZrMxZMgQli1bxm233VbudYqKiigqKvJ8zs7OBsBut2O322s15pLr1dZ1Tb+lEQS4knrjDIqAKq777Ykh2cPaN6713KD28/M1gZ4fBH6Oys//BXqOyu/sr10dJsMwjFqP4Axs2LCBgQMHUlhYSEREBDNnzmTMmDEsW7aMwYMHs3//fpKSkjztb731Vnbv3s38+fPLvV5qaiqTJ08us3/mzJmEhYXVWR61oc/ON0g+vpJfEy5ja+JllbY9VABT1gZhNhk828dJmM+UpSIiImcvPz+fCRMmkJWVRVRUVKVtvf4nsEOHDqxdu5bjx48zZ84cbrjhBhYvXuw5fvoIHcMwKh2188gjjzBp0iTP5+zsbJo1a8aoUaOq/GacKbvdTlpaGiNHjsRqtZ7dxVxOgv7vXgDaXngrbVL6Vtp8xrLdsHYr/Vs15opL+pzd165ArebngwI9Pwj8HJWf/wv0HJVfzZU8WakOrxczwcHBtG3bFoA+ffqwatUqXn31VR5++GEAMjIySExM9LTPzMykadOKR+7YbDZstrJT+lut1jr7RaqVa+9dC4XHISSaoOb9wFL5j2bh1sMAjOicUOf/QOrye+cLAj0/CPwclZ//C/QclV/NrlldPtdr1DAMioqKaNWqFQkJCaSlpXmOFRcXs3jxYgYNGuTFCOvI79+731sPrbKQycq3s3JXyay/WlhSREQaNq/emXn00UcZPXo0zZo1Iycnh1mzZrFo0SLmzZuHyWTi/vvvZ+rUqbRr14527doxdepUwsLCmDBhgjfDrhu/nxiS3WZ4lU0X/ZaJ02XQLj6CFo0166+IiDRsXi1mDh48yHXXXUd6ejrR0dF0796defPmMXKke6Xohx56iIKCAu68806OHTtG//79WbBgAZGRkd4Mu/YVHId9P7u321xQZfPvtrhXydbCkiIiIl4uZt5+++1Kj5tMJlJTU0lNTa2fgLxl52IwnBDXHmKaVdrU4XSxaKu7mNEjJhERER/sM9Mgba/+I6Zf9hwnu9BBTJiVXs0166+IiIiKGW8zjJOrZFfjEVPJXZkh7ZtgMWthSRERERUz3nZsF2TtAXMQtBxcZfOShSWHdmhSx4GJiIj4BxUz3rZzifs9pS8EVz4y6WB2IZvTszGZ4Px2KmZERERAxYz37Twx23GrqheWXHzirkz35GgaR5SdGFBERKQhUjHjTYZx8s5Mq/OrbL7otxP9ZTpoFJOIiEgJFTPelLkF8g5BUKj7MVMlHE4XP2xzL2Gg/jIiIiInqZjxppK7Mi0GQlBwpU1/2XOcnEIHsWFWeqTE1H1sIiIifkLFjDedQX+ZkiHZ57XTkGwREZFTqZjxFqcDdi11b1env8yJzr/DOuoRk4iIyKlUzHhL+jooyoaQaEjsUWlTDckWERGpmIoZbyl5xNTyPDBbKm2qIdkiIiIVUzHjLZ7+MhqSLSIicjZUzHiDowj2LHdvV9H5V0OyRUREKqdixhv2rQJHIYTHQ5MOlTbVkGwREZHKqZjxht3L3O8tzwVT5cOsNSRbRESkcipmvGH3j+73FoOqbKpVskVERCqnYqa+Oe2wd6V7u8XgSpuWDMkGOL+9ihkREZHyqJipb+nrwJ4PobHQpGOlTUuGZPdIiSZOQ7JFRETKpWKmvpU8Ymo+CMyVf/s1JFtERKRqKmbqW0nn3yr6y2hItoiISPWomKlPLifs/sm9XUUxoyHZIiIi1aNipj5lboaiLAiOgITulTbVkGwREZHqUTFTn0oeMTXrD5agSptqSLaIiEj1qJipT9WcXyZTQ7JFRESqTcVMfTGMUzr/Vj6/zKLfTqySrSHZIiIiVVIxU1+ObIe8Q2CxQfI5lTYt6S8zVEOyRUREqqRipr6UPGJK6QtBFd9t0ZBsERGRM6Nipr54HjENrLSZhmSLiIicGRUz9WXvCvd78wGVNtOQbBERkTOjYqY+5GbCsV3u7eQ+lTbVkGwREZEzo2KmPpSskt2kE4TGVNhMQ7JFRETOnIqZ+rDvRDHTrG+lzTQkW0RE5MypmKkPJXdmmvWvtNnikkdMuisjIiJSbSpm6pqjGA6scW+n9Ku4mdPFkm0nipmOml9GRESkulTM1LWMDeAohNBYaNy2wmYaki0iIlIzKmbqWkl/mZR+YK74260h2SIiIjWjYqaulcwvU1XnXw3JFhERqREVM3Vt7yr3eyWdfzUkW0REpOZUzNSlrP2QvQ9MZkiqeHFJDckWERGpORUzdamkv0zTrmCLqLCZhmSLiIjUnIqZuuSZX6biIdn2U4ZkD+mgIdkiIiJnyqvFzLRp0+jbty+RkZHEx8czbtw4tm7dWqrNxIkTMZlMpV4DBlS+WKPPqMZkeb/sPuYZkt2zWUz9xCUiIhJAvFrMLF68mLvuuovly5eTlpaGw+Fg1KhR5OXllWp30UUXkZ6e7nl98803Xor4DNgLIX2dezul4pFMC088YhrSXkOyRUREaiLIm1983rx5pT7PmDGD+Ph4Vq9ezfnnn+/Zb7PZSEhIqO/wzs7BjeCyQ1hjiG1ZYbOS+WWGadZfERGRGvFqMXO6rKwsABo1alRq/6JFi4iPjycmJoYhQ4bw7LPPEh9f/h//oqIiioqKPJ+zs91Dnu12O3a7vVbjLbleedc171mFBXAl9sLpcJR7fnpWIb9m5GAywcBWMbUe39mqLL9AEOj5QeDnqPz8X6DnqPzO/trVYTIMw6j1CGrAMAwuvfRSjh07xg8//ODZP3v2bCIiImjRogU7d+7kiSeewOFwsHr1amy2ssOYU1NTmTx5cpn9M2fOJCwsrE5zOFWv3f+g+dEf+TVhHFsTx5fbZtlBE7N3WGgZYfCXbs56i01ERMTX5efnM2HCBLKysoiKiqq0rc8UM3fddRdff/01S5cuJSUlpcJ26enptGjRglmzZjF+fNkiobw7M82aNePw4cNVfjPOlN1uJy0tjZEjR2K1WksdC3prIKYj23D8cSZGu1Hlnn/HR2v49tdD/GV4W+4c2rpWY6sNleUXCAI9Pwj8HJWf/wv0HJVfzWVnZxMXF1etYsYnHjPdc889fPnllyxZsqTSQgYgMTGRFi1asG3btnKP22y2cu/YWK3WOvtFKnPtwmw4sh2AoOb9oJyvW+RwsmzHUQCGd07w6V/yuvze+YJAzw8CP0fl5/8CPUflV7NrVpdXixnDMLjnnnv47LPPWLRoEa1atarynCNHjrB3714SExPrIcIaSl8LGBDdDCLKnwhv1c5j5Bc7iY+00SWpdu8YiYiINCReHZp911138eGHHzJz5kwiIyPJyMggIyODgoICAHJzc3nggQf46aef2LVrF4sWLeLiiy8mLi6Oyy67zJuhV27/L+73pF4VNvn+V/copqEdmmAyaUi2iIhITXn1zsz06dMBGDp0aKn9M2bMYOLEiVgsFjZs2MD777/P8ePHSUxMZNiwYcyePZvIyEgvRFxNB04UM8m9K2ziGZKtWX9FRETOitcfM1UmNDSU+fPn11M0tajkzkxy+YtL7jqcx47DeQSZTQxuF1ePgYmIiAQerc1U23IPQdZewASJPcttUnJXpm/LRkSFBG6HMBERkfqgYqa2lTxiimsHIeV37C1ZwmBYR62SLSIicrZUzNS2/ZX3lykodvLTjiOA+suIiIjUBhUzta3kzkxS+f1llv1+mGKHi+SYUNrGR9RjYCIiIoFJxUxtMgw4sMa9XcGw7G+3HATggo7xGpItIiJSC1TM1KacDMg7BCYzNO1S5rDLZfDtFnfn35Gdm9Z3dCIiIgFJxUxtyljvfo9rD8FlF7Vcu+84h3KKiLQFMaB143oOTkREJDCpmKlN6SeKmYTu5R5O2+x+xDSkQxOCg/StFxERqQ36i1qbMta53xN7lHu4pJjRIyYREZHao2KmNpXcmUkse2dm5+E8tmfmEmQ2MVRDskVERGqNipnaUnAMju92byd0K3M4bXMGAAPbNCY6VLP+ioiI1BYVM7UlY4P7PaY5hMaWOaxHTCIiInVDxUxtqaTz75HcIlbvPgbAiE4qZkRERGqTipnaUjIsu5zOv/M3HcRlQLfkaJJiQus5MBERkcCmYqa2pFdczHy1/gAAY7sn1mdEIiIiDYKKmdpgz4fDW93bpz1mOpRTxPITC0uO7aZiRkREpLapmKkFpswtYLggvAlEJpQ6Nm9TBi4DeqRE06xR2VmBRURE5OyomKkFpoxTOv+etnjkV+vcj5j+0D2pvsMSERFpEFTM1IaDJ4ZlnzZZXmZ2ISt3HQVgdLeE088SERGRWqBiphaYMje7N06bLO/rDekYBvRqHkNKrB4xiYiI1AUVM2fLcGE6tMW9Hd+l1KE5v+wD4JIeesQkIiJSV1TMnKWw4iOYivPAEgyN23j2b0nPZuP+bKwWE5f2TPZihCIiIoFNxcxZiirc696I6wCWk2suzVntviszvGNTGoUHeyM0ERGRBkHFzFmKKnAXLTTt7Nlnd7r4fO1+AK7oneKNsERERBoMFTNnKbLgxJ2Z+JPFzIJNBzmcW0xchI0hHZp4KTIREZGGQcXMWYoqLLkzc7Lz77vLdgIwoX9zrBZ9i0VEROqS/tKeDUcREYXp7u0Td2Y27s9i1a5jBJlNXNu/uReDExERaRhUzJyNI9sw48IIiYYo9/DrGT/uAtyLSsZHhXgxOBERkYZBxcxZKJksz2jSCUwm9h7N54sTHX9vHNzKm6GJiIg0GCpmzkLJZHnGiUdMr3+/DYfL4Pz2TejZLMaLkYmIiDQcKmbOginzxMy/TTqxcX8Wn5yYW+b+Ee28GJWIiEjDomLmLJQ8ZnLEdeSxzzfiMtxLF5zTPNbLkYmIiDQcKmZqquAYppwDALyyIZh1e48TYQvi8bGdvByYiIhIw6JipoacGe67ModNjZm+4ggA/+/K7hrBJCIiUs9UzNTQt4u+B2Cdwz2XzKNjOnJR10RvhiQiItIgBXk7AH/V1GanwAgmPSiFf17Vi1Fdk7wdkoiISIOkOzM11OmPT2H62x5iul3CMK2/JCIi4jW6M1NDtiALdiMIp8Xm7VBEREQaNN2ZEREREb+mYkZERET8mooZERER8WteLWamTZtG3759iYyMJD4+nnHjxrF169ZSbQzDIDU1laSkJEJDQxk6dCibNm3yUsQiIiLia7xazCxevJi77rqL5cuXk5aWhsPhYNSoUeTl5XnavPDCC7z88su88cYbrFq1ioSEBEaOHElOTo4XIxcRERFf4dXRTPPmzSv1ecaMGcTHx7N69WrOP/98DMPglVde4bHHHmP8+PEAvPfeezRt2pSZM2dy2223eSNsERER8SE+NTQ7KysLgEaNGgGwc+dOMjIyGDVqlKeNzWZjyJAhLFu2rNxipqioiKKiIs/n7OxsAOx2O3a7vVbjLblebV/XVyg//xfoOSo//xfoOSq/s792dZgMwzBqPYIaMAyDSy+9lGPHjvHDDz8AsGzZMgYPHsz+/ftJSjo5w+6tt97K7t27mT9/fpnrpKamMnny5DL7Z86cSVhYWN0lICIiIrUmPz+fCRMmkJWVRVRUVKVtfebOzN1338369etZunRpmWMmk6nUZ8Mwyuwr8cgjjzBp0iTP5+zsbJo1a8aoUaOq/GacKbvdTlpaGiNHjsRqtdbqtX2B8vN/gZ6j8vN/gZ6j8qu5kicr1eETxcw999zDl19+yZIlS0hJSfHsT0hIACAjI4PExJOLOGZmZtK0adNyr2Wz2bDZys7Ka7Va6+wXqS6v7QuUn/8L9ByVn/8L9ByVX82uWV1eHc1kGAZ33303n376Kd9//z2tWrUqdbxVq1YkJCSQlpbm2VdcXMzixYsZNGhQfYcrIiIiPsird2buuusuZs6cyRdffEFkZCQZGRkAREdHExoaislk4v7772fq1Km0a9eOdu3aMXXqVMLCwpgwYYI3QxcREREf4dViZvr06QAMHTq01P4ZM2YwceJEAB566CEKCgq48847OXbsGP3792fBggVERkbWc7QiIiLii7xazFRnIJXJZCI1NZXU1NSz+hpn0pGouux2O/n5+WRnZwfks1Dl5/8CPUfl5/8CPUflV3Mlf7erUyv4RAfgulQyU3CzZs28HImIiIicqZycHKKjoytt4zPzzNQVl8vFgQMHiIyMrHA4d02VDPveu3dvrQ/79gXKz/8Feo7Kz/8Feo7Kr+YMwyAnJ4ekpCTM5srHKwX8nRmz2VxquHddiIqKCshf0hLKz/8Feo7Kz/8Feo7Kr2aquiNTwqtDs0VERETOlooZERER8WsqZs6CzWbjqaeeKnfG4UCg/PxfoOeo/PxfoOeo/OpHwHcAFhERkcCmOzMiIiLi11TMiIiIiF9TMSMiIiJ+TcWMiIiI+DUVMzX097//nVatWhESEkLv3r354YcfvB1StSxZsoSLL76YpKQkTCYTn3/+eanjhmGQmppKUlISoaGhDB06lE2bNpVqU1RUxD333ENcXBzh4eFccskl7Nu3rx6zqNi0adPo27cvkZGRxMfHM27cOLZu3VqqjT/nOH36dLp37+6ZoGrgwIHMnTvXc9yfcyvPtGnTMJlM3H///Z59/p5jamoqJpOp1CshIcFz3N/zA9i/fz/XXnstjRs3JiwsjJ49e7J69WrPcX/PsWXLlmV+hiaTibvuugvw//wcDgePP/44rVq1IjQ0lNatW/P000/jcrk8bXwuR0PO2KxZswyr1Wr861//MjZv3mzcd999Rnh4uLF7925vh1alb775xnjssceMOXPmGIDx2WeflTr+3HPPGZGRkcacOXOMDRs2GFdddZWRmJhoZGdne9rcfvvtRnJyspGWlmb88ssvxrBhw4wePXoYDoejnrMp68ILLzRmzJhhbNy40Vi7dq0xduxYo3nz5kZubq6njT/n+OWXXxpff/21sXXrVmPr1q3Go48+alitVmPjxo2GYfh3bqdbuXKl0bJlS6N79+7Gfffd59nv7zk+9dRTRpcuXYz09HTPKzMz03Pc3/M7evSo0aJFC2PixInGihUrjJ07dxrffvutsX37dk8bf88xMzOz1M8vLS3NAIyFCxcahuH/+U2ZMsVo3Lix8dVXXxk7d+40/vvf/xoRERHGK6+84mnjazmqmKmBfv36GbfffnupfR07djT+9re/eSmimjm9mHG5XEZCQoLx3HPPefYVFhYa0dHRxltvvWUYhmEcP37csFqtxqxZszxt9u/fb5jNZmPevHn1Fnt1ZWZmGoCxePFiwzACM8fY2Fjj3//+d0DllpOTY7Rr185IS0szhgwZ4ilmAiHHp556yujRo0e5xwIhv4cfftg499xzKzweCDme7r777jPatGljuFyugMhv7Nixxk033VRq3/jx441rr73WMAzf/BnqMdMZKi4uZvXq1YwaNarU/lGjRrFs2TIvRVU7du7cSUZGRqncbDYbQ4YM8eS2evVq7HZ7qTZJSUl07drVJ/PPysoCoFGjRkBg5eh0Opk1axZ5eXkMHDgwoHK76667GDt2LCNGjCi1P1By3LZtG0lJSbRq1Yo//elP7NixAwiM/L788kv69OnDlVdeSXx8PL169eJf//qX53gg5Hiq4uJiPvzwQ2666SZMJlNA5Hfuuefy3Xff8dtvvwGwbt06li5dypgxYwDf/BkG/EKTte3w4cM4nU6aNm1aan/Tpk3JyMjwUlS1oyT+8nLbvXu3p01wcDCxsbFl2vha/oZhMGnSJM4991y6du0KBEaOGzZsYODAgRQWFhIREcFnn31G586dPf+B8OfcAGbNmsUvv/zCqlWryhwLhJ9f//79ef/992nfvj0HDx5kypQpDBo0iE2bNgVEfjt27GD69OlMmjSJRx99lJUrV3Lvvfdis9m4/vrrAyLHU33++eccP36ciRMnAoHxO/rwww+TlZVFx44dsVgsOJ1Onn32Wa6++mrAN3NUMVNDJpOp1GfDMMrs81c1yc0X87/77rtZv349S5cuLXPMn3Ps0KEDa9eu5fjx48yZM4cbbriBxYsXe477c2579+7lvvvuY8GCBYSEhFTYzp9zHD16tGe7W7duDBw4kDZt2vDee+8xYMAAwL/zc7lc9OnTh6lTpwLQq1cvNm3axPTp07n++us97fw5x1O9/fbbjB49mqSkpFL7/Tm/2bNn8+GHHzJz5ky6dOnC2rVruf/++0lKSuKGG27wtPOlHPWY6QzFxcVhsVjKVJaZmZllqlR/UzKiorLcEhISKC4u5tixYxW28QX33HMPX375JQsXLiQlJcWzPxByDA4Opm3btvTp04dp06bRo0cPXn311YDIbfXq1WRmZtK7d2+CgoIICgpi8eLFvPbaawQFBXli9OccTxceHk63bt3Ytm1bQPwMExMT6dy5c6l9nTp1Ys+ePUBg/BsssXv3br799ltuvvlmz75AyO/BBx/kb3/7G3/605/o1q0b1113HX/5y1+YNm0a4Js5qpg5Q8HBwfTu3Zu0tLRS+9PS0hg0aJCXoqodrVq1IiEhoVRuxcXFLF682JNb7969sVqtpdqkp6ezceNGn8jfMAzuvvtuPv30U77//ntatWpV6ngg5Hg6wzAoKioKiNyGDx/Ohg0bWLt2refVp08frrnmGtauXUvr1q39PsfTFRUVsWXLFhITEwPiZzh48OAy0yH89ttvtGjRAgisf4MzZswgPj6esWPHevYFQn75+fmYzaXLA4vF4hma7ZM51nqX4gagZGj222+/bWzevNm4//77jfDwcGPXrl3eDq1KOTk5xpo1a4w1a9YYgPHyyy8ba9as8Qwrf+6554zo6Gjj008/NTZs2GBcffXV5Q63S0lJMb799lvjl19+MS644AKfGVJ4xx13GNHR0caiRYtKDZ3Mz8/3tPHnHB955BFjyZIlxs6dO43169cbjz76qGE2m40FCxYYhuHfuVXk1NFMhuH/Of71r381Fi1aZOzYscNYvny58Yc//MGIjIz0/PfD3/NbuXKlERQUZDz77LPGtm3bjI8++sgICwszPvzwQ08bf8/RMAzD6XQazZs3Nx5++OEyx/w9vxtuuMFITk72DM3+9NNPjbi4OOOhhx7ytPG1HFXM1NCbb75ptGjRwggODjbOOeccz9BfX7dw4UIDKPO64YYbDMNwD7l76qmnjISEBMNmsxnnn3++sWHDhlLXKCgoMO6++26jUaNGRmhoqPGHP/zB2LNnjxeyKau83ABjxowZnjb+nONNN93k+b1r0qSJMXz4cE8hYxj+nVtFTi9m/D3Hkvk4rFarkZSUZIwfP97YtGmT57i/52cYhvG///3P6Nq1q2Gz2YyOHTsa//znP0sdD4Qc58+fbwDG1q1byxzz9/yys7ON++67z2jevLkREhJitG7d2njssceMoqIiTxtfy9FkGIZR+/d7REREROqH+syIiIiIX1MxIyIiIn5NxYyIiIj4NRUzIiIi4tdUzIiIiIhfUzEjIiIifk3FjIiIiPg1FTMiIiLi11TMiEi9S01NpWfPnl77+k888QS33nprtdo+8MAD3HvvvXUckYicDc0ALCK1ymQyVXr8hhtu4I033qCoqIjGjRvXU1QnHTx4kHbt2rF+/XpatmxZZfvMzEzatGnD+vXryyxcKiK+QcWMiNSqjIwMz/bs2bN58sknS62iHBoaSnR0tDdCA2Dq1KksXryY+fPnV/ucyy+/nLZt2/L888/XYWQiUlN6zCQitSohIcHzio6OxmQyldl3+mOmiRMnMm7cOKZOnUrTpk2JiYlh8uTJOBwOHnzwQRo1akRKSgrvvPNOqa+1f/9+rrrqKmJjY2ncuDGXXnopu3btqjS+WbNmcckll5Ta98knn9CtWzdCQ0Np3LgxI0aMIC8vz3P8kksu4eOPPz7r742I1A0VMyLiE77//nsOHDjAkiVLePnll0lNTeUPf/gDsbGxrFixgttvv53bb7+dvXv3ApCfn8+wYcOIiIhgyZIlLF26lIiICC666CKKi4vL/RrHjh1j48aN9OnTx7MvPT2dq6++mptuuoktW7awaNEixo8fz6k3rfv168fevXvZvXt33X4TRKRGVMyIiE9o1KgRr732Gh06dOCmm26iQ4cO5Ofn8+ijj9KuXTseeeQRgoOD+fHHHwH3HRaz2cy///1vunXrRqdOnZgxYwZ79uxh0aJF5X6N3bt3YxgGSUlJnn3p6ek4HA7Gjx9Py5Yt6datG3feeScRERGeNsnJyQBV3vUREe8I8nYAIiIAXbp0wWw++f9XTZs2pWvXrp7PFouFxo0bk5mZCcDq1avZvn07kZGRpa5TWFjI77//Xu7XKCgoACAkJMSzr0ePHgwfPpxu3bpx4YUXMmrUKK644gpiY2M9bUJDQwH33SAR8T0qZkTEJ1it1lKfTSZTuftcLhcALpeL3r1789FHH5W5VpMmTcr9GnFxcYD7cVNJG4vFQlpaGsuWLWPBggW8/vrrPPbYY6xYscIzeuno0aOVXldEvEuPmUTEL51zzjls27aN+Ph42rZtW+pV0WipNm3aEBUVxebNm0vtN5lMDB48mMmTJ7NmzRqCg4P57LPPPMc3btyI1WqlS5cudZqTiNSMihkR8UvXXHMNcXFxXHrppfzwww/s3LmTxYsXc99997Fv375yzzGbzYwYMYKlS5d69q1YsYKpU6fy888/s2fPHj799FMOHTpEp06dPG1++OEHzjvvPM/jJhHxLSpmRMQvhYWFsWTJEpo3b8748ePp1KkTN910EwUFBURFRVV43q233sqsWbM8j6uioqJYsmQJY8aMoX379jz++OO89NJLjB492nPOxx9/zC233FLnOYlIzWjSPBFpUAzDYMCAAdx///1cffXVVbb/+uuvefDBB1m/fj1BQepmKOKLdGdGRBoUk8nEP//5TxwOR7Xa5+XlMWPGDBUyIj5Md2ZERETEr+nOjIiIiPg1FTMiIiLi11TMiIiIiF9TMSMiIiJ+TcWMiIiI+DUVMyIiIuLXVMyIiIiIX1MxIyIiIn5NxYyIiIj4tf8PDZoQsZYNUxwAAAAASUVORK5CYII=",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pred.plot(y=[\"TS1\",\"TH1\"],grid=True, ylabel=\"deg C\", title=\"Model Prediction\", xlabel=\"Time (s)\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## \"Least Squares\" Model Fitting\n",
"\n",
"Fitting a model to data is a basic task in engineering, science, business, and a foundation of modern data sciences. For engineers the goal is to validate hypotheses about how a device works, then to enable simulation and design. In the data science model fitting may be almost completely empirical using black box models to develop predictive models of complex systems.\n",
"\n",
"In this case we wish to find values for a small number of parameters that cause a model to replicate a measured response. One common measure of fit is the sum of sum of squares of residual difference between the model and data. For residuals modeled as independent and identically distributed random variables from a Gaussian distribution, minimizing the sum of squares has a strong theoretical foundation. So strong, in fact, the term \"least squares\" has become synonomous with model fitting and regression.\n",
"\n",
"The SciPy library includes a well-developed function [`scipy.optimize.least_squares`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.least_squares.html) for this purpose. The name is a misnomoer because the function allows other common \"loss\" functions in addition to sum of squares. The simplest use of `least_squares` is to provide a function that, given values for the unknown parameters, creates a vector of residuals between a model and data. \n",
"\n",
"This is demonstrated below."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Try your hand at trial and error data fitting\n",
"\n",
"# adjustable parameters\n",
"CpH = 5 # joules/deg C\n",
"CpS = 1 # joules/deg C\n",
"Ua = 0.04 # watts/deg C\n",
"Ub = 0.04 # watts/deg C\n",
"\n",
"A = np.array([[-(Ua + Ub)/CpH, Ub/CpH], [Ub/CpS, -Ub/CpS]])\n",
"B = np.array([[alpha*P1/CpH], [0]])\n",
"C = np.array([[0, 1]])\n",
"\n",
"pred = tclab_ss(A, B, C)\n",
"ax = data[\"T1\"].plot(grid=True, linestyle=\"\", marker=\".\")\n",
"pred.plot(ax=ax, y=[\"TH1\",\"TS1\"],xlabel=\"Time (s)\", ylabel=\"deg C\", grid=True)\n",
"plt.legend([\"TH1 (measured)\", \"TH1 (model)\", \"TS1 (model)\"])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def pred_err(p):\n",
" \n",
" CpH, CpS, Ua, Ub = p\n",
" \n",
" # array parameters\n",
" A = np.array([[-(Ua + Ub)/CpH, Ub/CpH], [Ub/CpS, -Ub/CpS]])\n",
" B = np.array([[alpha*P1/CpH], [0]])\n",
" C = np.array([[0, 1]])\n",
" \n",
" pred = tclab_ss(A, B, C)\n",
" return pred[\"T1\"] - data[\"T1\"]\n",
"\n",
" \n",
"pred_err([5.8, 1, 0.04, 0.045]).plot(xlabel=\"Time (s)\", ylabel=\"Prediction Error (deg C)\", grid=True, linestyle=\"\", marker=\".\")"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CpH = 5.2280012374973746, CpS = 1.9897188470054918, Ua = 0.04157103899328196, Ub = 0.21309849232002476\n"
]
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.optimize import least_squares\n",
"\n",
"results = least_squares(pred_err, [8, 1, 0.05, 0.05], loss=\"cauchy\")\n",
"\n",
"CpH, CpS, Ua, Ub = results.x\n",
"print(f\"CpH = {CpH}, CpS = {CpS}, Ua = {Ua}, Ub = {Ub}\")\n",
"\n",
"pred_err([CpH, CpS, Ua, Ub]).plot(xlabel=\"Time (s)\", ylabel=\"Prediction Error (deg C)\", grid=True, linestyle=\"\", marker=\".\")"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"A = np.array([[-(Ua + Ub)/CpH, Ub/CpH], [Ub/CpS, -Ub/CpS]])\n",
"B = np.array([[alpha*P1/CpH], [0]])\n",
"C = np.array([[0, 1]])\n",
"\n",
"pred = tclab_ss(A, B, C)\n",
"ax = data[\"T1\"].plot(linestyle=\"\", marker=\".\")\n",
"ax = pred.plot(ax=ax, y=[\"TH1\",\"TS1\"],xlabel=\"Time (s)\", ylabel=\"deg C\", grid=True)\n",
"plt.legend([\"TH1 (measured)\", \"TH1 (model)\", \"TS1 (model)\"])\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
":::{admonition} Choosing a Loss Function\n",
"\n",
"Consult the documentation page [`scipy.optimize.least_squares`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.least_squares.html). Modify the regression to use alternative loss functions including `soft_l1`, `huber`, `cauchy` and `arctan`. \n",
"\n",
"1. Which gives the best result? \n",
"2. From the documentation, why is the fit better? \n",
"3. How much of difference does it make it estimated model parameters?\n",
"\n",
":::"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.12"
}
},
"nbformat": 4,
"nbformat_minor": 4
}