diff --git a/_toc.yml b/_toc.yml
index 7135792..1a9ac33 100644
--- a/_toc.yml
+++ b/_toc.yml
@@ -59,3 +59,7 @@ chapters:
- file: notebooks/08-tdem/fwd_tdem_fundamentals
- file: notebooks/08-tdem/fwd_utem_3d
- file: notebooks/08-tdem/inv_tdem_1d
+# uran
+- file: notebooks/uran_index
+ sections:
+ - file: notebooks/xx-dc2d/dc2d_sens
diff --git a/notebooks/uran_index.md b/notebooks/uran_index.md
new file mode 100644
index 0000000..0954c8c
--- /dev/null
+++ b/notebooks/uran_index.md
@@ -0,0 +1,16 @@
+Uncertainty and Resolution analysis
+===================================
+
+Here, we provide a multitude of introductory and indermediate level tutorials for uncertainty quantification and resolution analysis for the solution of inverse problems using SimPEG. Links to each tutorial can be accessed below or from the left-side menu.
+
+```{figure}https://gutenberg.net.au/ebooks03/0300771h-images/0300771h-06.jpg
+:width: 350px
+:align: center
+
+Le Petit Prince, drawing # 1 ([image source](https://gutenberg.net.au/ebooks03/0300771h-images/0300771h-06.jpg))
+```
+
+## Tutorial Notebooks
+
+[Sensitivity analysis 2D DC Resistivity](xx-dc2d/dc2d_sens) $({\color{orange}Intermediate}$, ${\color{green}Lightweight})$
+
diff --git a/notebooks/xx-dc2d/century/27750N/DCMODA.CON b/notebooks/xx-dc2d/century/27750N/DCMODA.CON
new file mode 100644
index 0000000..78dd2be
--- /dev/null
+++ b/notebooks/xx-dc2d/century/27750N/DCMODA.CON
@@ -0,0 +1,407 @@
+ 70 29
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diff --git a/notebooks/xx-dc2d/century/27750N/DCMODA.INP b/notebooks/xx-dc2d/century/27750N/DCMODA.INP
new file mode 100644
index 0000000..fdfec43
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diff --git a/notebooks/xx-dc2d/century/27750N/DCMODA.PRE b/notebooks/xx-dc2d/century/27750N/DCMODA.PRE
new file mode 100644
index 0000000..b744197
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diff --git a/notebooks/xx-dc2d/century/27750N/IPMODA.INP b/notebooks/xx-dc2d/century/27750N/IPMODA.INP
new file mode 100644
index 0000000..d68969b
--- /dev/null
+++ b/notebooks/xx-dc2d/century/27750N/IPMODA.INP
@@ -0,0 +1,8 @@
+0 40
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diff --git a/notebooks/xx-dc2d/century/27750N/IPMODA.PRE b/notebooks/xx-dc2d/century/27750N/IPMODA.PRE
new file mode 100644
index 0000000..c109b66
--- /dev/null
+++ b/notebooks/xx-dc2d/century/27750N/IPMODA.PRE
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diff --git a/notebooks/xx-dc2d/century/46200E/DCINV2D.CON b/notebooks/xx-dc2d/century/46200E/DCINV2D.CON
new file mode 100644
index 0000000..32785a2
--- /dev/null
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diff --git a/notebooks/xx-dc2d/century/46200E/IPINV2D.PRE b/notebooks/xx-dc2d/century/46200E/IPINV2D.PRE
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diff --git a/notebooks/xx-dc2d/century/46200E/IPMODA.INP b/notebooks/xx-dc2d/century/46200E/IPMODA.INP
new file mode 100644
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--- /dev/null
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diff --git a/notebooks/xx-dc2d/century/46800E/468MESH.DAT b/notebooks/xx-dc2d/century/46800E/468MESH.DAT
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diff --git a/notebooks/xx-dc2d/century/46800E/DCMODA.PRE b/notebooks/xx-dc2d/century/46800E/DCMODA.PRE
new file mode 100644
index 0000000..43a3a44
--- /dev/null
+++ b/notebooks/xx-dc2d/century/46800E/DCMODA.PRE
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diff --git a/notebooks/xx-dc2d/century/46800E/IPMODA.CHG b/notebooks/xx-dc2d/century/46800E/IPMODA.CHG
new file mode 100644
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--- /dev/null
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diff --git a/notebooks/xx-dc2d/century/46800E/IPMODA.PRE b/notebooks/xx-dc2d/century/46800E/IPMODA.PRE
new file mode 100644
index 0000000..eeb79dd
--- /dev/null
+++ b/notebooks/xx-dc2d/century/46800E/IPMODA.PRE
@@ -0,0 +1,262 @@
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diff --git a/notebooks/xx-dc2d/century/47000E/IPMODA.INP b/notebooks/xx-dc2d/century/47000E/IPMODA.INP
new file mode 100644
index 0000000..6c4750f
--- /dev/null
+++ b/notebooks/xx-dc2d/century/47000E/IPMODA.INP
@@ -0,0 +1,8 @@
+0 40
+1.0
+472MESH.DAT
+IPINV2D.MTX
+47200IP.OBS
+0.0
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+NULL
diff --git a/notebooks/xx-dc2d/century/47000E/IPMODA.PRE b/notebooks/xx-dc2d/century/47000E/IPMODA.PRE
new file mode 100644
index 0000000..aca0ed1
--- /dev/null
+++ b/notebooks/xx-dc2d/century/47000E/IPMODA.PRE
@@ -0,0 +1,298 @@
+redicted data
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diff --git a/notebooks/xx-dc2d/century/47200E/DCMODA.INP b/notebooks/xx-dc2d/century/47200E/DCMODA.INP
new file mode 100644
index 0000000..69d56e2
--- /dev/null
+++ b/notebooks/xx-dc2d/century/47200E/DCMODA.INP
@@ -0,0 +1,7 @@
+1 1
+1.0
+472MESH.DAT
+47200POT.OBS
+0.01
+0.01
+NULL
diff --git a/notebooks/xx-dc2d/century/47200E/DCMODA.PRE b/notebooks/xx-dc2d/century/47200E/DCMODA.PRE
new file mode 100644
index 0000000..024429e
--- /dev/null
+++ b/notebooks/xx-dc2d/century/47200E/DCMODA.PRE
@@ -0,0 +1,299 @@
+PREDICTED POTENTIALS
+
+ 25 1 1
+
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+
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diff --git a/notebooks/xx-dc2d/century/47200E/IPMODA.CHG b/notebooks/xx-dc2d/century/47200E/IPMODA.CHG
new file mode 100644
index 0000000..ac32741
--- /dev/null
+++ b/notebooks/xx-dc2d/century/47200E/IPMODA.CHG
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diff --git a/notebooks/xx-dc2d/century/47200E/IPMODA.INP b/notebooks/xx-dc2d/century/47200E/IPMODA.INP
new file mode 100644
index 0000000..6c4750f
--- /dev/null
+++ b/notebooks/xx-dc2d/century/47200E/IPMODA.INP
@@ -0,0 +1,8 @@
+0 40
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+0.0
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diff --git a/notebooks/xx-dc2d/century/47200E/IPMODA.PRE b/notebooks/xx-dc2d/century/47200E/IPMODA.PRE
new file mode 100644
index 0000000..aca0ed1
--- /dev/null
+++ b/notebooks/xx-dc2d/century/47200E/IPMODA.PRE
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diff --git a/notebooks/xx-dc2d/century/47700E/DCMODC.CON b/notebooks/xx-dc2d/century/47700E/DCMODC.CON
new file mode 100644
index 0000000..4be6b86
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diff --git a/notebooks/xx-dc2d/century/47700E/DCMODC.PRE b/notebooks/xx-dc2d/century/47700E/DCMODC.PRE
new file mode 100644
index 0000000..d096126
--- /dev/null
+++ b/notebooks/xx-dc2d/century/47700E/DCMODC.PRE
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diff --git a/notebooks/xx-dc2d/century/47700E/IPMODA.CHG b/notebooks/xx-dc2d/century/47700E/IPMODA.CHG
new file mode 100644
index 0000000..1dbe448
--- /dev/null
+++ b/notebooks/xx-dc2d/century/47700E/IPMODA.CHG
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diff --git a/notebooks/xx-dc2d/century/47700E/IPMODA.INP b/notebooks/xx-dc2d/century/47700E/IPMODA.INP
new file mode 100644
index 0000000..8859229
--- /dev/null
+++ b/notebooks/xx-dc2d/century/47700E/IPMODA.INP
@@ -0,0 +1,9 @@
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diff --git a/notebooks/xx-dc2d/century/47700E/IPMODA.PRE b/notebooks/xx-dc2d/century/47700E/IPMODA.PRE
new file mode 100644
index 0000000..35bfc82
--- /dev/null
+++ b/notebooks/xx-dc2d/century/47700E/IPMODA.PRE
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diff --git a/notebooks/xx-dc2d/century/Data_in_3D_format/dc3d.dat b/notebooks/xx-dc2d/century/Data_in_3D_format/dc3d.dat
new file mode 100644
index 0000000..dc6e7da
--- /dev/null
+++ b/notebooks/xx-dc2d/century/Data_in_3D_format/dc3d.dat
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diff --git a/notebooks/xx-dc2d/century/Data_in_3D_format/ip3d.dat b/notebooks/xx-dc2d/century/Data_in_3D_format/ip3d.dat
new file mode 100644
index 0000000..d1f83fe
--- /dev/null
+++ b/notebooks/xx-dc2d/century/Data_in_3D_format/ip3d.dat
@@ -0,0 +1,1365 @@
+Century IP Data
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diff --git a/notebooks/xx-dc2d/century/geologic_section.csv b/notebooks/xx-dc2d/century/geologic_section.csv
new file mode 100644
index 0000000..dbbb5d1
--- /dev/null
+++ b/notebooks/xx-dc2d/century/geologic_section.csv
@@ -0,0 +1,81 @@
+#Leapfrog 3D bezier polyline file (v1.2).
+#Point X, Point Y, Point Z, Normal X, Normal Y, Normal Z, Control0 X, Control0 Y, Control0 Z, Control1 X, Control1 Y, Control1 Z, STangent X, STangent Y, STangent Z
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+End
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+End
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diff --git a/notebooks/xx-dc2d/dc2d_sens.ipynb b/notebooks/xx-dc2d/dc2d_sens.ipynb
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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# 2D DC Resistivity Sensitivity analysis"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "```{admonition} Intermediate notebook\n",
+ ":class: caution\n",
+ "This tutorial focusses on intermediate level functionality within SimPEG. Basic functionality within SimPEG is not discussed in detail, as we assume the user is already familiar.\n",
+ "```"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "```{admonition} Light-weight notebook\n",
+ ":class: hint\n",
+ "This tutorial requires minimal computational resources and can be executed quickly in the background while other computer processes are running.\n",
+ "```"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**Author:** Williams Lima\n",
+ "\n",
+ "\n",
+ "\n",
+ "**Keywords:** DC Resistivity inversion, sensitivity matrix.\n",
+ "\n",
+ ""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**Summary:**\n",
+ "The sensitivity matrix is a very important tool for the design of surveys and the implementation of inversion algorithms in geophysics. It can give us qualitative and, to some extent, quantitative information about the sensitivity of the data to perturbations in the physical properties (e.g electrical conductivities) underground. In turn, it can help us design optimized surveys for specific targets. Moreover, it is also of great value in a later interpretation stage, as a tool to assess the resolvability of particular features obtained by the use of inversion methods. In this tutorial we'll use SimPEG functionalities to look at the sensitivity matrix for the DC resistivity inverse problem. We will use a number of different techniques to analyze the sensitivity patterns for a few commonly used electrode arrays. As study cases, we will apply these techniques for both a homogenous half space and to a real data set in the context of a mineral exploration project.\n",
+ "\n",
+ "Although we use the DC resistivity problem as a leitmotif in this tutorial, the techniques presented here are general enough and can be applied to many other geophysical methods.\n",
+ "\n",
+ "Enjoy!\n",
+ "\n",
+ "\n",
+ "**Learning Objectives:**\n",
+ "\n",
+ "- How to get the sensitivity matrix for a DC resistivity simulation by using utility functions in SimPEG.\n",
+ "- Exploring the different sensitivity patterns for a number of common electrode arrays.\n",
+ "- How to plot information contained in the sensitivity matrix.\n",
+ "- Look at the sensitivity matrix for a real data set.\n",
+ "\n",
+ ""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Theoretical background\n",
+ "\n",
+ "First of all, we cannot overemphasize the importance of understanding the distinction\n",
+ "that exists in SimPEG between physical properties and modeling/inversion parameters. Every physical simulation component in SimPEG makes use of a particular set of physical properties (conductivity, density, magnetic susceptibility, etc.). On the other hand, when performing an inversion task, we usually define an independent set of parameters and maps between those and the actual physical properties. For example, the DC simulation class implements the solution of the following PDE\n",
+ "$$\n",
+ "-\\nabla\\cdot\\left(\\sigma\\nabla\\phi\\right) = I(\\delta(r-r_{s^+}) - \\delta(r-r_{s^-}),\n",
+ "$$\n",
+ "where the relevant physical property is the electrical conductivity $\\sigma$. In an inversion context, the inversion parameter would be defined as $m = ln(\\sigma)$. In this case we would define a map such that $\\sigma = exp(m)$ and pass this map to the simulation object so it could correctly convert the inversion parameter $m$ to the actual physical property $\\sigma$ used in the simulation. In SimPEG we can define composite mappings $\\mathcal{M}$ resulting from the composition of any number of maps, the relation between the physical properties and model parameters being given by $\\sigma = \\mathcal{M}(m)$.\n",
+ "\n",
+ "When computing sensitivities, the chain rule is used to correctly take into account the composition of maps. We will see later that the derivatives returned by the method ***getJ*** (which returns the Jacobian matrix) are always computed with respect to model parameters. \n",
+ "\n",
+ "**The mechanics of sensitivity computation**\n",
+ "\n",
+ "Many of the simulations performed in SimPEG rely on the solution of an algebraic system of linear equations of the form\n",
+ "$$\n",
+ "A(c)u = q\n",
+ "$$\n",
+ "where $A$ is a matrix obtained after discretization of the relevant PDE,\n",
+ "$c$ is a the physical property vector, $q$ is a source term vector. Once this system is solved for $u$, a given physical field $f$ (e.g. electric/magnetic field components) can be obtained as a relation like\n",
+ "$$\n",
+ "f = f(u(m), s_e(m), s_m(m), m).\n",
+ "$$\n",
+ "Finally, the predicted data $d_\\text{pred}$ is obtained through\n",
+ "$$\n",
+ "d_\\text{pred} = P(f)\n",
+ "$$\n",
+ "where the operator $P$ \"selects the component of interest and interpolates\n",
+ "the fields to the receiver locaions\" (Heagy2018).\n",
+ "\n",
+ "The core component in the sensitivity analysis is the Jacobian matrix, defined as\n",
+ "$$\n",
+ "J(m) = \\frac{\\partial d_\\text{pred}}{\\partial m}.\n",
+ "$$\n",
+ "Considering all those intermediate transformations, in order to get $J$, applying the chain rule we have\n",
+ "$$\\begin{eqnarray}\n",
+ "J(m) &= \\frac{dP(f)}{df}\\frac{df}{d\\sigma}\\frac{d\\sigma}{dm}\\\\\n",
+ " &= \\underbrace{\\left(\\frac{\\partial f}{\\partial u}\\overbrace{\\frac{du}{d\\sigma}}^\\text{Physics} +\n",
+ " \\frac{\\partial f}{\\partial s_m}\\overbrace{\\frac{ds_m}{d\\sigma}}^\\text{Sources} +\n",
+ " \\frac{\\partial f}{\\partial s_e}\\overbrace{\\frac{ds_e}{d\\sigma}}^\\text{Sources} +\n",
+ " \\frac{\\partial f}{\\partial\\sigma}\\right)}_\\text{Fields}\\underbrace{\\frac{d\\sigma}{dm}}_\\text{Properties}\n",
+ "\\end{eqnarray}$$\n",
+ "\n",
+ "To successfully translate eq to code we need to know how those different quantities are represented in the SimPEG echosystem. Table below gives a summary of the identification of the with SimPEG/python objects.\n",
+ "\n",
+ "| Theoretical | SimPEG |\n",
+ "|-------------|----------------------|\n",
+ "| J | numpy.ndarray (N,M) |\n",
+ "| m | numpy.ndarray (M) |\n",
+ "| f | SimPEG.fields.Fields |\n",
+ "\n",
+ "\n",
+ "With this we finish our review of some concepts related to the computation of the sensitivity matrix in SimPEG, now it is time to look at an actual problem."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Import modules\n",
+ "\n",
+ "Here, we import all of the functionality required to run the notebook for the tutorial exercise. All of the functionality specific to DC resistivity is imported from [SimPEG.electromagnetics.static.resistivity](myst:SimPEG#SimPEG.electromagnetics.static.resistivity).\n",
+ "\n",
+ "We also import some useful utility functions from [SimPEG.utils](myst:SimPEG#SimPEG.utils). To simulate DC resistivity data, we need to define our problem geometry on a numerical grid (or mesh).\n",
+ "To generate the mesh, we used the [discretize](https://discretize.simpeg.xyz/en/main) package."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# SimPEG functionality\n",
+ "from SimPEG.electromagnetics.static import resistivity as dc\n",
+ "from SimPEG import maps\n",
+ "\n",
+ "# discretize functionality\n",
+ "from discretize import TreeMesh, TensorMesh\n",
+ "\n",
+ "# Common Python functionality\n",
+ "import numpy as np\n",
+ "import matplotlib as mpl\n",
+ "import matplotlib.pyplot as plt\n",
+ "from matplotlib.colors import LogNorm\n",
+ "\n",
+ "# SimPEG inversion machinery\n",
+ "from SimPEG import (\n",
+ " Data,\n",
+ " data_misfit,\n",
+ " regularization,\n",
+ " optimization,\n",
+ " inverse_problem,\n",
+ " inversion,\n",
+ " directives,\n",
+ ")\n",
+ "\n",
+ "from SimPEG.electromagnetics.static import utils as dc_utils\n",
+ "\n",
+ "# linear solvers\n",
+ "try:\n",
+ " from pymatsolver import Pardiso as Solver # this is a fast linear solver\n",
+ "except ImportError:\n",
+ " from SimPEG import SolverLU as Solver # this will be slower"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Homogeneous half space"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Define surveys\n",
+ "There are many different possible combinations of current and potential electrodes locations that could be used to create a DC resistivity survey. Maybe some of those combinations would be better than others for a particular case under specific constraints such as cost, physical constraints, time and sensitivity to a particular target at depth. The sensitivity analysis, that we are going to perform in this tutorial, will help us with the task of assessing the performance of a given electrode array with respect to its sensitivity to conductivity anomalies around a particular target region in the subsurface. For more information about DC resistivity modeling in SimPEG check out the tutorial [2.5D DC Resistivity Simulation](05-dcr/fwd_dcr_2d).\n",
+ "\n",
+ "In the figure below, we can see a few of the most common array configurations used in the industry and academic works.\n",
+ "\n",
+ "```{figure}https://gpg.geosci.xyz/_images/figure6.gif\n",
+ ":width: 350px\n",
+ ":align: center\n",
+ "\n",
+ "DC resistivity arrays ([image source](https://gpg.geosci.xyz/_images/figure6.gif))\n",
+ "```"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**Two simple surveys in a homogeneous medium**\n",
+ "\n",
+ "Our first step is to create two simple surveys, Wenner alpha and Wenner beta. Each of theses surveys will contain one pair of current electrodes and one pair of potential electrodes only. The extension to any number of current/potential electrodes is straightforward and will be left as an exercise.\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "scrolled": true,
+ "vscode": {
+ "languageId": "plaintext"
+ }
+ },
+ "outputs": [],
+ "source": [
+ "# Define survey line parameters for Wenner surveys\n",
+ "data_type = \"volt\"\n",
+ "src_list = []\n",
+ "\n",
+ "# Wenner alpha\n",
+ "C_wenner_alpha = np.array([[-15.0, 0.0], [15.0, 0.0]])\n",
+ "P_wenner_alpha = np.array([[-5.0, 0.0], [5.0, 0.0]])\n",
+ "\n",
+ "rx_wenner_alpha = dc.receivers.Dipole(\n",
+ " locations_m=P_wenner_alpha[0],\n",
+ " locations_n=P_wenner_alpha[1],\n",
+ " data_type=data_type\n",
+ ")\n",
+ "rx_list_wenner_alpha = [rx_wenner_alpha]\n",
+ "\n",
+ "src_list.append(\n",
+ " dc.sources.Dipole(\n",
+ " location_a=C_wenner_alpha[0],\n",
+ " location_b=C_wenner_alpha[1],\n",
+ " receiver_list=rx_list_wenner_alpha,\n",
+ " )\n",
+ ")\n",
+ "\n",
+ "# Dipole-Dipole\n",
+ "C_dipole_dipole = np.array([[-15.0, 0.0], [-5.0, 0.0]])\n",
+ "P_dipole_dipole = np.array([[5.0, 0.0], [15.0, 0.0]])\n",
+ "\n",
+ "rx_dipole_dipole = dc.receivers.Dipole(\n",
+ " locations_m=P_dipole_dipole[0],\n",
+ " locations_n=P_dipole_dipole[1],\n",
+ " data_type=data_type\n",
+ ")\n",
+ "rx_list_dipole_dipole = [rx_dipole_dipole]\n",
+ "\n",
+ "src_list.append(\n",
+ " dc.sources.Dipole(\n",
+ " location_a=C_dipole_dipole[0],\n",
+ " location_b=C_dipole_dipole[1],\n",
+ " receiver_list=rx_list_dipole_dipole,\n",
+ " )\n",
+ ")\n",
+ "\n",
+ "survey = dc.Survey(source_list=src_list)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Create mesh"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "vscode": {
+ "languageId": "plaintext"
+ }
+ },
+ "outputs": [],
+ "source": [
+ "dh = 0.25 # base cell width\n",
+ "dom_width_x = 150.0 # domain width x\n",
+ "dom_width_z = 100.0 # domain width z\n",
+ "nbcx = 2 ** int(np.round(np.log(dom_width_x / dh) / np.log(2.0)))\n",
+ "nbcz = 2 ** int(np.round(np.log(dom_width_z / dh) / np.log(2.0)))\n",
+ "\n",
+ "# Define the base mesh with top at z = 0 m.\n",
+ "hx = [(dh, nbcx)]\n",
+ "hz = [(dh, nbcz)]\n",
+ "mesh = TreeMesh([hx, hz], x0=\"CN\")\n",
+ "\n",
+ "# Refine core mesh region\n",
+ "mesh.refine_box([-50, -50], [50, 0], levels=-1, finalize=False)\n",
+ "\n",
+ "mesh.finalize()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Define the conductivity model"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "background_resistivity = 50 # Ohm.m\n",
+ "background_conductivity = 1 / background_resistivity\n",
+ "nC = mesh.nC\n",
+ "conductivity_model = background_conductivity * np.ones(nC)\n",
+ "\n",
+ "conductivity_map = maps.IdentityMap()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# DC simulation for a conductivity model\n",
+ "simulation_con = dc.simulation_2d.Simulation2DNodal(\n",
+ " mesh, survey=survey, sigmaMap=conductivity_map\n",
+ ")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Plot sensitivity"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**Get the sensitivity matrix**"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "J = simulation_con.getJ(conductivity_model).copy()\n",
+ "J_wenner_alpha = J[0, :] / np.max(abs(J[0, :]))\n",
+ "J_dipole_dipole = J[1, :] / np.max(abs(J[1, :]))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**Make plots**"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "##\n",
+ "#\n",
+ "fig, axs = plt.subplots(1, 2, figsize=(10, 2))\n",
+ "plt.jet()\n",
+ "\n",
+ "norm = mpl.colors.SymLogNorm(\n",
+ " linthresh=0.005, linscale=1e-4, vmin=-1.0, vmax=1.0, base=10\n",
+ ")\n",
+ "\n",
+ "Js = np.c_[J_wenner_alpha, J_dipole_dipole]\n",
+ "C_locs = np.r_[C_wenner_alpha, C_dipole_dipole]\n",
+ "P_locs = np.r_[P_wenner_alpha, P_dipole_dipole]\n",
+ "\n",
+ "plt_titles = [\"Wenner alpha\", \"dipole-dipole\"]\n",
+ "i = 0\n",
+ "for ax in axs:\n",
+ " mesh.plot_image(Js[:, i], ax=ax, grid=False, pcolor_opts={\"norm\": norm})\n",
+ "\n",
+ " xmin = -50\n",
+ " xmax = 50\n",
+ " zmin = -20\n",
+ " zmax = 0\n",
+ " ax.set_xlim(xmin, xmax)\n",
+ " ax.set_ylim(zmin, zmax)\n",
+ " ax.set_title(plt_titles[i], loc=\"left\")\n",
+ " ax.set_xlabel(\"x (m)\")\n",
+ " ax.set_ylabel(\"z (m)\")\n",
+ "\n",
+ " xc = (C_locs[2 * i, 0] - xmin) / (xmax - xmin)\n",
+ " ax.annotate(\n",
+ " \"\",\n",
+ " xy=(xc, 1),\n",
+ " xycoords=\"axes fraction\",\n",
+ " xytext=(xc, 1.1),\n",
+ " arrowprops=dict(arrowstyle=\"->\", color=\"r\"),\n",
+ " )\n",
+ " xc = (C_locs[2 * i + 1, 0] - xmin) / (xmax - xmin)\n",
+ " ax.annotate(\n",
+ " \"\",\n",
+ " xy=(xc, 1),\n",
+ " xycoords=\"axes fraction\",\n",
+ " xytext=(xc, 1.1),\n",
+ " arrowprops=dict(arrowstyle=\"->\", color=\"r\"),\n",
+ " )\n",
+ " xc = (P_locs[2 * i, 0] - xmin) / (xmax - xmin)\n",
+ " ax.annotate(\n",
+ " \"\",\n",
+ " xy=(xc, 1),\n",
+ " xycoords=\"axes fraction\",\n",
+ " xytext=(xc, 1.075),\n",
+ " arrowprops=dict(arrowstyle=\"->\", color=\"b\"),\n",
+ " )\n",
+ " xc = (P_locs[2 * i + 1, 0] - xmin) / (xmax - xmin)\n",
+ " ax.annotate(\n",
+ " \"\",\n",
+ " xy=(xc, 1),\n",
+ " xycoords=\"axes fraction\",\n",
+ " xytext=(xc, 1.075),\n",
+ " arrowprops=dict(arrowstyle=\"->\", color=\"b\"),\n",
+ " )\n",
+ "\n",
+ " i = i + 1\n",
+ "\n",
+ "ax2 = fig.add_axes([0.25, -0.3, 0.5, 0.1])\n",
+ "cbar = mpl.colorbar.ColorbarBase(ax2, norm=norm, orientation=\"horizontal\")\n",
+ "cbar.set_label(\"Sensitivity\", rotation=0, labelpad=15, size=12)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "***Cumulative sensitivity of a given array***\n",
+ "\n",
+ "Let's experiment with another way to look at the sensitivity matrix. This time we are going to plot the **cumulative sensitivity** $CS$ defined as\n",
+ "$$\n",
+ " CS = \\frac{\\sum_{i=1}^P S_i}{\\sum_{i=1}^M S_i}\n",
+ "$$\n",
+ "where $S$ contains a particular row of $\\left|J\\right|$ sorted in decreasing order.\n",
+ "\n",
+ "We took inspiration for this plot from {cite}` https://doi.org/10.2136/vzj2003.4160`.\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Define survey line parameters\n",
+ "survey_type = \"dipole-dipole\"\n",
+ "dimension_type = \"2D\"\n",
+ "data_type = \"volt\"\n",
+ "\n",
+ "src_list = []\n",
+ "C_locs = []\n",
+ "P_locs = []\n",
+ "\n",
+ "# Array 1\n",
+ "C = np.array([[-15.0, 0.0], [-5.0, 0.0]])\n",
+ "P = np.array([[5.0, 0.0], [15.0, 0.0]])\n",
+ "\n",
+ "C_locs.append(C)\n",
+ "P_locs.append(P)\n",
+ "\n",
+ "rx = dc.receivers.Dipole(locations_m=P[0],\n",
+ " locations_n=P[1],\n",
+ " data_type=data_type)\n",
+ "rx_list = [rx]\n",
+ "\n",
+ "src_list.append(\n",
+ " dc.sources.Dipole(location_a=C[0],\n",
+ " location_b=C[1],\n",
+ " receiver_list=rx_list)\n",
+ ")\n",
+ "\n",
+ "# Array 2\n",
+ "C = np.array([[-30.0, 0.0], [-20.0, 0.0]])\n",
+ "P = np.array([[20.0, 0.0], [30.0, 0.0]])\n",
+ "\n",
+ "C_locs.append(C)\n",
+ "P_locs.append(P)\n",
+ "\n",
+ "rx = dc.receivers.Dipole(locations_m=P[0],\n",
+ " locations_n=P[1],\n",
+ " data_type=data_type)\n",
+ "rx_list = [rx]\n",
+ "\n",
+ "src_list.append(\n",
+ " dc.sources.Dipole(location_a=C[0],\n",
+ " location_b=C[1],\n",
+ " receiver_list=rx_list)\n",
+ ")\n",
+ "\n",
+ "# Define survey\n",
+ "survey = dc.Survey(src_list)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# DC simulation for a conductivity model\n",
+ "simulation_con = dc.simulation_2d.Simulation2DNodal(\n",
+ " mesh, survey=survey, sigmaMap=conductivity_map\n",
+ ")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "J = simulation_con.getJ(conductivity_model).copy()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "##\n",
+ "# Interpolate to a regular grid for creating the plots\n",
+ "xmin = -50\n",
+ "xmax = 50.0\n",
+ "grid_nx = 500\n",
+ "zmin = -20.0\n",
+ "zmax = 0.0\n",
+ "grid_nz = 200\n",
+ "[xgrid, zgrid] = np.meshgrid(\n",
+ " np.linspace(xmin, xmax, grid_nx),\n",
+ " np.linspace(zmin, zmax, grid_nz)\n",
+ ")\n",
+ "locs = np.vstack([xgrid.ravel(), zgrid.ravel()])\n",
+ "Q = mesh.get_interpolation_matrix(locs.T)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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lqJml3X4eNj+feu39m4p/5HbFXP/60n7H8129n5q2MJft0/X3+smkfGaVZ2GYBnFD59nTd+TM+VVU5Th474fmfu9ncx6LDYtspTU68LVWI0nG1wj94he/oKWlhWuvvZa6ujqmT5/OK6+8QmVlZaZDEzJEN3U6Ym3sX1LOD74WFrfWURf2M8NbgIGJaRooksK79f1f3N91PwaqLFPksVLv67kQwmMLa/jdAZM5+ZGFXR4PJ2LYFA1F03n1+wYA7vloNV+v9w0qrt68sbSRD1a28NOphSiyxMrmIBftMQZgi7VDO1ZmM7M0iytf+r7XbR60g4eYPrih9FX+VhKGwYzsQuyqHROTSqedu5YuBqDQ7kKTLbTFWga1H0EYKqk6N11++eWUlZUhSRINDQ288cYb1NTU8Oqrr6Yp8uFldUuIc59czIMn7MC/Pl3D8TuWIksyTZEA9x0zizMf+5Ka9jAnzatgdpmXo/71+YD2E473/xjWEUkme6Zp8vejZ3LW41+S2Gzhx1X7T+axhTUD2vZGWXYNp2rhy9bhPQI4GnzWVMPuRWNQZAm9Pwt4NrO+I8I7K5q4fN+JXP3qpsTFqsrcd8yszu/93axv25rIAD5HumFy0iMLePb0nWgPx3nx23omFbi49Yjt8MejZFsdRHWdV79v5tI9x/OLBz/vV2GnnphDvuAgczI+IgRw3nnnsWbNGqLRKAsXLmT33XfPdEhChnXEWrGrTgpsyQV9R1SMIWEmUGUVJFBklbMnTRvUPkKJOF+31vOPUyb1+rwnv6xldpmXsbmbFhfuOT6fhJFcOJ1rs/N9vZ8nv6xNaxK0UTiu88xX63l6cS1HzMlFlhRM06Qs20Fp1qb1Sj+fVcY7K5o7F1F2pzLbzuSsfD5rqhlUTDlWOz8fMw1/vINQIoiEhF11kqUl4/l51URaI0M/hVEQBiMV56Zvv/2WRx55hH//+9989dVXHHHEESxZsoRdd901DREPvVAizqUH9z4l7aPVrcz+y9s8tmgdTjV5Jz2mJ7j+9WXce8wsXj93PntPyOeEhxfQER7YdJz2cJxij43xeX1fjB6IJS9mFVlmUoGL6zass1RliQOnFLLr2FweXzS4KpfXHlNCqJ8VTYWBMUyTSCLOnuPzBrWdJxatY99JBewzMR9JSk6J++vPtsNrT06HM02TuGH0c6sDH1lt8Ec54eEvOG5OOa+fO59bjpjBr5/7Bn1DG9Bsq5U731/JvFve3eo1yPn7FYnP449kfERIELqjmzqhRIBjxk5BNxJYFRsdsTZybQWdZbvLnGM4Y8Ik7l8x8GkLzZEgpc7eqw3+0BzkxW/rOGZ2KX98czkAJ8+r4AdfM25LPiDx4lnz2OnWD3pNOlLtyfOnUe7atIjyk9UtHDy9iHs/WoPXrnH0rFJm3Nh7uW2rqhDREwQGcWB0axZOnTCT1mgTUT1MqbOKuBHDF2/n9ImzCCUC2FQHTZH0leEUhOHqpZdeSktF0+FSqe+t9Ss5YfwsYEmvz/NHE5w5vwrTNDBJJh9PLa7lqcWpKSqzpjXEc9+s52czS/nz/5Zv9flZNpWfbV9KMB7FqVmx2gz2mpDHfcfMwq4pFGfZuOO9lT1Wk+ur2bmlvFWXmjYKQu9M4O36Vfzu0DG8dfPAp3W9tbyJyYVurjlwCsfOKcOqKlTlOPBsyLE7YhGOn1POowtqiCa2nhAdMr0IMGkODvw8u7olxJ53ftDlsb9IkzFMA8M0+enUIv712dpet6HKErNyS7jz++57oQ01aRDrD1NpeEQhjFAmqpS+XLoxvJ5g3E/UiFAbXEt7rIWGcC31oVp0M8H60Bq81lwunroDuVbHIO63bN3Ti9dz7JxyKrPtFHmsyLJEIBFDN3UC8eQdmLcu2rlzznm6PXj2BObll2NiEtqw7qY1FKPYY0ORJX5/wGRe/Lau2/K0qSABMhJnTZrG2ZN2wBdrpyPWSkQPUxeqpja4lrZoM63RRhJmnPXBtcSN9N2FUqS+l8wVhNHAoTixKZkpkLK5kB5HlWSyHVtfMyFJySk3USNKkd3F7DJvSmNpD8f7fB4Yk+skHNc7C/MokszB937ConXtvL+ymcPv+5SHPq8eVDxWVcahaoQS28ai8+EgnIjjVC0og6yacNcHqzjs/k9ZWNPOh6uaOfQfn6DJyfOMbhrkOC0Uuft2vt91bC73fLSGYAqrue09IZ8si42YHsXE7FMxoiKPDdM0CSfSc13QHw7VhUXuX8GJdBEjQsKAWRU7+fYigv709LIwMWn/0ZqSjUkHQNyIUx1Yhcfi5YyJOyBJEgkjwXNrl7I60No5bNybmKFTYHNh02Qi8Z7v7Cxa186a1hAfXLIHkGyU+sxXtbx7YTFWxYYkyaiyzisXzOX0h7/hq9rUF0uA5OLdW06oYk5uCbqhgwR2xcHXbXX889O1PHXqPE7bqQqAI+7/dKvbu/TwfKJ63w+K2RY7x46diMfiBSCqh6kL1RDRN1VVCm1WEMEfT8/7sDmPJRvT7O80BUEY2cJ6CFXWQE9tdcrNGRiUOjysDvTczDGUiPN9eyP/OmMKh9/xdY/PkyU4fMNU3kjch6KplGfbu23EOlDBqM4e47P7vEbEMEyMDecJr8XKrLIs7v5wdcriOXleBe2xCHWh9PV7Erpa7W9jl8JKjtiuhKcHOdrYEox1fh5+PqsUu5q8ZDZJfnb6wqrKTC/2sLCmfVCx/FhljgPd1InoIdyKl2Pn5/HAp72PCD1w6lQ+b16HsZX1P6UOD0aaz6mabCGYCJBlyd76k9NMJELCoMhDPKgoI+NQnQQSyROLbiZoizbTFm1BAlxaFodWTCRuRLlryZdb/YP/vr2RuXll7D0hn5e/riH03XvEG9eieIuwVkzDUjim87mH3fcJqixhAnE9uV3DNNBkS7Kst2zFqYZ5/LQ5rPS1cNkTq/i+PjUnQFWWOH6Hci7bbxz+WBSrIiNLMpIkYZoG973VyOqWEPNueXeLGHuzc34Fr9eu6FMMY1zZHDVmGuFEkJW+pRumuHTdhyZrKJJGZCtNGFNJRiaiR7CpjiHbpyBsC5rD9RxSMY47vl/Q6/NqQx1Uunq/oNmuJIsiu5tA3EdUj+LUQEnx9L5/fbZ2Q9GFLL6obu/1uRtHDHTT7GyU+/tDx/HmTamplGXXFM7eo5wFzbVbPQ8JqZMwDZa1N/Or/Sp57uv1XYpfDJQqS/xmvzGdo4cJ00AG5D6MOu0xPg9Vlnmmm8brgyFvuPQKJYJYZCtj3TlUZttZ29bzjRGbovJ9+9ZvTu5fOobmSEOqQh32RCIkjCiFjlIcqgs5XIcv3r7ZT5KX5P54O4F4ByXOSi6aOpfWaBP/XtnzHT4TqG9r4eOHbqL2reeQFBVL6SSCX/0PxZOHa+4huGbtD4BhJvtibC6k6zhVCQmFDn87a1etpdZro9Tt5b9nzmNdKHnQCQWDrKip4aKHvkeye1Cc3m7jSbTVEVj4Co5APRMLLAR8yURKliRyCk/mw3qF3QtLiRtRLEpyWDlh6p2n2e5i7I0kQSDe+7omq6xw+sTpOFUXdcEawnr3JbAlJEqdVSiSQk1gNTFj6NZLCYKQegkz0aepZutDfvYsGsvUInePN3/uOHYyLZEQNiU5TUw3Evz+4PE8/23dgCt8/Vg0YfDSt3X8Zp+J/Hwr1ecu3Ws8H65q4ZCZeYAVWZIpd3oo99pT0gNubkU2iiTxlagWN+Q+bapmbn4ZUwrdfFM3+AJGU4vc5NjsyBvWtIQScRav8nPpXhO48OmvenydJMFv9p7AM1+tT9lnHMBpUbh0n7EYZnKqXdyM0xExuPeUKRxw26JuX7NTVQ4Fdif14cBWty8hbTM9hEAkQsIIY1VsyJKMVbFBD3+nJibrg9W4NQ9FjlKcai3BHxUDMDdMh1j0wmvceMs9eHKyydr7ZOzj5yI7PCBJBL9+h463H+pMhHrYGQDvvPsOV/zf5bS3t1O9poY5++3NMZdfQllJCbUrV/PvP9/G0s8WosgyO83fmcsuv4K5O87rvBO58b+rV63i0YdX4u8opkMxcBXk8f3nC/no5deY9YtDOauoBN1M0B5twabYiRmxZCW9AShwWbEpGokNQ+CLXnwDm9vJ1D136YwH4LSJ05AkidrgWqJGz/09ZElBlhRCiRAWxSoSIUHYIBKJcN111/H6669jtVo54YQTOPfcczMdVso0RYKsCbTx+yPLOObvWxZNKPPaKXNmsaillvHuZCXJuBHFa8nCoSn4o6lbs/D3D1fzxa/36vXueJnXztyKbC559msO2T5ZYcw0TSTg2XNms/dtnw0qptIsG38/ZgYfNa4Z8DaEgTOBz5tqePjUmezz10+3aC3RH3lOCw+fMnOL0cu/f7iKp06dR67T0uP2pxa6GZPr5L5P1gx4/z3FJP8oWVnjb2dmbjF5Tku3RRmuOLSMpe1N+LZy43NbJIolCKOSiYEv3k5Mj3Ls2LFb/FySJJrXruPjx/7LDocdyPtvv0Pe/CNQc0qQbS5kqxP7xHlIikq0puc+PP5ElI8//ZgLLrwAm83Ow488wmMvPEqsvgn/B1/Q2tbG3TfexNrVa7jgqfu55In7Wd3WzElnn8E9iz/goR8W8eCKhZ3/fU9vo+y4gxl/9jFMPfVoKg7aC0dxAVOnT+XvF16GiYluJCh1VlEXWodVsRHVTZoC/T/Q//2U8SzvaKI9FiEejfL8Dbfy1t0P4mtq6UyC3JoVp+qiI9raaxL043dfEIRNLrjgAh588EEOOuggdt11V6644gruuuuuTIe1VbqRwCJb8VpsW33u+/Vr2C6nmLtO79pnyWvXeOm8uXzUuPZHJYeTx5hUF79rD8e59Z0VPHLSXHJ6KOBwwW5j+c/Cms7jZnKxuQRIhOIJjp1TNuD95zg0Xjp/Hotb1/NVq6iUmSmfNtWwyt/KKxfMxdlNs/G+uuuU8TRFQp03Tzda3hjg3R+aOX2n7vuKlWTZePD4OVz58ncpHQ0CQEpOf9/8Tyeox/i2rYFXLpiLXev6+z5w9njGunP4uHHrxT8KbE4UWUU3U1fYYbgTiZAwqtWH1+G15HDq+PFb/GzJux8R8QeYe9wRjKmq6tI1GiCy4gsk1YKa03O38gv+8z03XP8nCvILuP+f9zF39lwO2OtA5u0xh7vvuoeK1gjh1ev4y3W/I6eoEK0gh30uPJ1IOMyHL7yCLx6lPRrGF492+QrGo5w0bgwHqC7aFn/P3LlzqQtXE4j6ybbloUgKXmsOcSNOXdjPp2ta+/3e2BSVlmjyjunzN9yOpyCfRCzOwxdfSVttHTZF5fQJ29MRayM8hGt+BGE00XWdhx9+mBdffJFrrrmGP//5z9x///0jIhGKGhGCiQCTsvK3+ty2WJin1nzDviXjee6i7Sh0W3FaFF6/aB7hRIIvW9azY34JiqSSMBM4VCdN4SD3njYh5XHf/eFqajvC7De5cIufTStyc+DUQl78NpmkGJhdFobn2xUu3KuKwj5WBNuc06Lw6oVzWeNv69NFp5Be/1u/ktZoiFcv2gGL0v+Me0yug+2yiyh1WFE2VIzbvPrp81/X8fNZZVTlbLk+9fAZxXxR3cYTi1JTHn5zd5wwnrZoGOuG5uUSErsXlvNe/WpsqsqrF8/BokhU5jh46eKZ7JxfweOrvu5Tm4wjKqvwxdpImGJqnCD0iSTJKJIybO8exI04tcFqypyV5NvqaIpsWt/SsHI1E3beAW9xId+2NfDvM6Zy0F8Xk/A1E172Cf5PnsExdfce1/MANDbU8fmbb/LAQ/fjLLARN+JYFRtVRWPx5nr4+MsPaG9vY/as2UwaNxnd1KnxlLB2+gsoy9Zgj5vEVZlTJk7GrW3qCWSaJpqs8eEPH7F8+XLOvfxMLIqVAluycWFzpAG3lsWXLQ24tP6fsCcVuJjgyeOzlYvxNbWw6MXX+c3L/8HQdR791R9455+P8uYj/yaqh2mJNA6bniXd0WQNMQolDFeNjY0YhsHs2bM7H9thhx1Ys2ZN5oLqB8PU+1ySuiEc4PHVXzMnt5R3L9kFwzSpD/v5rLGGHKsdE3BpbmyqnbAeYnWgnQqXNy1xP/x5NX8+bDq7js3lype/J6EblGTZeOiEHbjutaWdVby+b29kh7xSPBZ1Q9EbGwub63jlgnkccOdnfR5td1oUXrloDm2xCG+u/yEtv1M6aBuK7pwwbtxWK3i1RZv5z6o1GKbZOaV6uHt53TKOqprOixfN4tA7F/ep7w9AudfO8+fM5fPmGnYrTI76GKZBwpD4vj3ZHPztFU3c89FqHjlpB4598AtaQzHsmsJfDpvOvMpsznlicVp+pwqnlx98LXgsBgX2EmSSo5kuzcJr61awU345Cy/fA4us8H17I/9Z9RVtsb6ve0t3xbjhRiRCwqAE4h3kWAtoigztglCbYkdC2qJqWXdiRoSwHuaIikr+sXzTNLdpe+/Gs9fcxMyf7sv37hzcde0Ev/ofkdWLidevxDZmFu75P+t1283ffEhObg677L4rVsXG+uBaim3lBP3JdTKymhzCDqo+1gXWIMsKXy1fxFdff4Wvw887b73LlClTmHP9NUyYM6ZLdaFwNMT/3nmLrGwP++yzDwW2EmRZpi3agj/WQbYll0S/u1snFXtsNEeCtERDPHfdLUzZY2eyS4owDIP5xx7Jc9ffylW/+R2/vO7CPidBdtXRuXhzqKiShsfiRRZ9hIRhqqioiKKiIhYsWMAOO+wAwGeffUZlZfdTaoYb3TSYm5fPp001fXp+QzjAK+uWUWBzIksyDWE/JnDGhEmASTARxKm5iRsxYoZOjsVOodua8mbUL3/fwJKGAFf8ZCJfXbY3AIZp8sc3l/P0ZhW8Lnu0mk9+VUXCiGOYBoqkMCMnm+Ud7Sz49V580byOSx9dRXUv1bjuPqOKA8smscrfyks1S1P6e6RDmSMLTZb5SUkx2dbkGqmEmaAxXIvew0WwKikU2Ev55bRSAFqijby1voGokWD9MC4Pbpgm/137HT8fsx1Lr9yXsx7/kjeX9VwZcFyek9uOG8/2OUV80ljNjvmFSCRHgiQk7KrGRQ9sKlN9/ydryHZovH/x7p03DJ75aj0H3fNxrxXcBqoqx4FTs3Qmopqs4Yu141BdHFFRxr9++IGaYDsFNhdxQ6c52vfZHLIkYVMcBIag7cVwIhIhYVA8lmx8sfYh368sKdgUR48VzH6sOVJPpWscEpvGDqbutSvfvPEuT//hLzzScRWTxk8gWttCQnXg3vlnOLffd+vb/eZjdttlF15uruX8kl1piTaycMXnLFy0kMqKKsaXTSQWjZGIJ4ibMdDh1j/ejt8foKyylL/c+0cee+BJrr7+D/zp79eTV5C3advNzbz3xvvs99N9KXaUgwm+WDvNkXpyrQUEEn5Cehwv/W+qeOWhlbREw7TV1rFqwWIueOwfAMiyzA5H/JTtiyu4749/Jrcqm+PPOAagSwGF7mRb89BkC1G9r2uJBk+SJHRTF4mQMGw98MADnHDCCRx88MGceuqpRCIR/vnPfw56alzciJFlye7SWy0d2qJNVLknkmt10NKPi6rGSNdjs9eaRzDh7yxBDNAei1AdbOeI7Uq456PU9e/ZaFVLkDMf/7JPz+08jmy4GFzcupxPmqo5oHQSb14wn/s+qmZ1S7CzDPI+E/PZvjQLu6awd3EZD61YRENk6xW5MqnI7uLIynE4VCdxI4ZhGqzxr+jTNKgosNq/DACLbCXfXsShFePQZCvBhJ+nVv/Qr4vuoRQ3DB5duZhyZxZ3/Xw7/vlJDXHd4JPVrXyyYVr5CTuUU+q1c/rO5VQHO/jr9x9TaHcxN68YSZKQTKnHkZKb3lrBTW/1rQ3FYN103Bi+b2vYoklvIO7Da80FfkA3TerC/U9OSx0eFEmhPdZz37DUkPBo3rQfu/pKJELCiKSbiX4tso0bMSJ6mHMmb8fdSzc1/fvZNZdR/dV3dDQ2M1ZxcOq4Mfzl603TA0zTQJK6X0pnGjpRyUJWtpfxuYVE9BC51gJe+fw1liz9nmuvvo4p46cSj8VpWd9KfmEeXy/6hvW19ZSUFzNt5lTGTxrHOZeeySG7HMmizxaz3yGbkq8flq6kZvU6zj/rImRJJpjw0xBejyqpZFmyeXrN9/y0fBLv1K3q13vntWtM9ORx+/cfE4/FOPIPvyGvsqxzMWiRw80RvziOHxZ8yl9+fwtZXg8HH/XTrY4MDd/Jc4KQOddccw3+DU2nb7vtNubNm8djjz3GQQcdNKjtZlvzME0TGRmD9E1lMTExTB2naulXIrQ5i6wgSzKGqaNIXS87AvEY+85ycM9HqYh2YEzTRJVUZEkhEPehyhrHjp3KXUsW8tSabxjnzmHeFC8nZZVw6f6V6IZBgd3JN20NmCY8ufqbYZ0EnTFhMg7ViVWx4Yt3UB1YhW4OvCpezIhSG0yOimiyBa8ll1MnzCKqRwgkfDywYmiSgv6qCXbw37XfM2dSDrIEZ+86i4ZwAIuioMkKK32tPLv2O6qDHVgVlSMrJ5EwE2iSBRM2TEHLLIeidTvNbeNopiJJfWom3+22VW3DMof0TjVXJRVN1sizb7mGLxNEIiRsM9YHqyl3jWWSJ49lvmYAVIuFsXNnAZBvc3LCuJk8tPoD6jtCSLLSYxIEIMkKcl4Fz7/4Gmf94f94Zd1q9skt5al/P0tReRE77z8Xe8LN5MmTeeeFD9h31/353lxK0B+kYX0DF1yWLJ+7esVqxk0ay5efL2a/Q36CRbZgwcbX73/P+AnjmTB5PKF4kLpQDWDi1NzEjBjN0SCaJHPBP3vvJv1jj5w1ja/b6onqCQrGVFIwJjlFZ2Oic/zY6bRFm7nqpsuRFLjzz3eTk5/D/D126u9bLgjbvOrqamKxGLquk5eXh6KMvNHL9lgrR1ZN5Pbveu/N05NTJ0whmPBjmCY/XrP+VWsdJ46fRUnWStZ3DN1o8uZMIKyHcKguVFkjYcSRJZnTJkzmH8u/Z6W/lZX+Vr5orqHE4QGSJcPbY5mJty8USaLKlc0RlZMxTJOWSD1xI96P6p99EzdiNEXq8MfbUWWNfFsRv5qex1Orl1ATbB92qzfXBttZG2wH4KvWenKsyRkVNcEOIvqm5PC08VOI6hHUjYm7aRJM+Le6jiqdphS6GefJ5aEVCxnvyevyM92MEzOinDphEvcvH9j0zIPLJ9IcGZpKh8PpcyGqxgmDZlcdKBmZmtS/uzMGBoGEn/1KK7o8Ho9E+eSJ53j50SdoigS55fgqJHnL38fU4+ihrnNnHdP2wOXN48qzz+dff7ubPXbbk6b6Zs66+DRicgTTmeCCCy/gH//4B3/96+0EGsKYhonVamX+vPloCRtXXXQNCz5eyNiqcZQ4yim2lxNqi3Dbbbfxi1/8AsM0qAvXdK6HyrEW8Oza5f18r5JKsmyMdefwTWv3XaOrXNkoskpHJDk0fvK5JxKPxnj/zQ/6sPWhv1vm1rJIGKnrQSII6ZCXl0dhYeGITIIguRZUky2UbkgC+kuRFMKJYLdHiOZoiMZwgJuPr+p8zDR0Qt9/QMc7/yb41ZvEm9cNLPB+8sc7kCUZh+oklAjg0jzYlU0luIOJOCt8LazwtQzrJGisO4cLpszh8MrJNEcaqA78QCDhT3kStLmIHiYQ97HGv4K2aAs/HzOVC6bMpqKXYkOZ1hINdf57bp4EeTQrTs1NJBFGUyzEjRiB+NCugzKNLdfb/vHnVdQE2+mIR7v9WwonQgO+FhvnzkFGIjjEv+dwIEaEhEGLG3HsqnNI53uG9TA51jxCif5NR2iNNDLWM4lsi71zeFmxaHz54utY7HaeP+gATpq1K4q8vLP2v5mIkWhvIPT124RXLqDgpD8hW50AaHll/Ow3N7LyrX+z6LW3OObQn3LMUcfiHedk4WeLiESi7HbETtzGLfz19jtpb29j5512pqWthblTd2bK1MmEgsnpJj898CBiRpSQEcThtnP//fexw16zqA2u6Yw/y5KNYeqsD/lwqN33yOjNQdOKWB/ysS7U/WLIg8uraI00IW24bVtWWcoLHz271WlxTtW1xZSXoeCxeNFky5DvVxC2Jbqp0x5t4bCKMfx96Vf9em2O1Y5TdeGLtZPjyEeVk9NvIokQ+5eOYUl7I2/VreKIyqkY8a/wvfcIwUWvYRo6ltJJ+L94ETWnGPeOh+OcsXeafsPkRaTH4kWVVExMbIqDUCLA2ZNmctfShT/qgTT8qJLM6ROnoskaNsWOL9ZOS3TNkMdhYtIRa8UXayPXVsjPx0wjnAgSN2Lcv3xJl4JAw5FdUTlj4iw6Ym24LG7YsKrNoTlpjTQN2YhQy9M34tn9WCxF4zof2y6niPuXLUCTZHYvKqct2kyWJZuIHiLbmkdTuI4Ceyku1dKnUtmb+2lZFS3Rpj4VoBptRCIkDJqZgVKLORvmx/dX8iDdzvHjpvC3JYuAZIGAg35zAdklRQTtGu3RMA+cNYGT71lOoq2e4OI38H/6XxR3DrqvmY53HyZ7/3M6t1lQMY4T7rils2TqzOmzqAvV8NA9j7Dsu+X855WH2PvoPTjgZ/vjsXtwWbLQjQTBUJAvPlnA/fffz/KVy5k6cWpnwtFGM/v9fO8t+ve4tSz+t37NgOYAu6wKv9l3PM+tTVbO21j8wDAMZFmmzJGFTbHTFK7v/Hk8nsDldm512zbFgS/WRo5t6/1GBEFIDRMzWaAkjXf6N/LHOyh3jqHQ7qIh3PcbUEdWVhLWQ5gY6KaOSvIGTlushVxbIZokE07EeOaxx6n/60Wg2XHv+gvsE3dCdrjBNAl98w4d/3sgrYnQP1cs47czdqcj1obXmoNDc7HWv4J8WzHnTJrFXUsXYQxw7UU6qZLMSePHk2PNI6pHCCb8NG+YBpdJJibNkXp8sTbsqgO3lsUvp+9MS6SBh1euGvA6lnTSZJmzJ80ilAgkE3drPv54O7pp4NY8PLRyJZfNKE17HNHaZYSXfkzOob8Ekjdjs0J1PPboo6ywxJm4/XRkScEXb6eQUgrsJSSMODEjRtyIMc6T069mvpUuL1bFRkN4/dafnAIWxTKsEi6RCAkjhkW2pmQKni/WRplrDF6LrXN6Q+X20wDwt7Wz0LaWncrGYtdW4tMTxNavQM0ppujsvxOtXUbjg7/pkgj9WGu0iTxbIceffgxLv11GTl4OCT3Ot998S/WaGg4+/CBkScapuVmzdg3vvfcef775T9SHazFNI1nGtZvFz07VjSKpLNnQw6C/bjqxnHAizppActrbxqRLlpMzZH9aWoY/2kHCjJNIJFBVFYul/6NOhqnjUF3DpiKMIIxWrdEmcm2FrA/1b53gQMSNGGE9xOEVVdy77Ns+vWa8O5dsSy7rgmuQe1hvKUkSK39Yyau338bPjjuKD+y7o2YXdXmOfcou+D95hui6JVjLpgz6d+mNYeqE4gFiRowSRyW1wTUUO8o5d9L23LV0cVr33R+yJDHencuhFRMxMakPrRuWja9jRpRYLEpHrB2H6qTQXsLFUwt4vnoZq/ytw+ZyWJYkzpk0i7gRpyXaRLlzDG3RZhyqk2A/Z54Mlu+9R3FstzeyzUm0dhmBL16k9pu3uX7qFJrb25i84xyOuOc+6GYyRHOkgf1Kx9MSCfc48+PHDiqrJBj3D6qARn/k2go39P8bHsQaIWHQokaULEtO2veTZcmmPdo66O3EjCiBuI/tc4q7PN64ai1v3/tv3vzsI9qjEV66aBZaXhlZ+5yCEQ2RaG/AWjoJNaeEjncf6XH7T61Zi0W2sOeee3HSOScAyZN99Zoafv/Laznt52dy5y13ccyRx/KrX/+Ko08+kl0OnUdUDxMzot0mQRIS2dZcAnEf8QGMwO1UlcPexeN4rvp7ln7wKY/88nc8fsX1PHf9rXzz5rtYZYUcex6t8WQRiXtuuY87//R3YrF4v0fePJZsPJoXKc2HF4fqSvs+BGE4y7MVIg9hs+PGcB0uzc1pEyb06fkHlY+hKVJPzOi9R9B3b39AS2srf/jt5ZRWbNlfKbLqSySLHdWb3ipTUSOCgYFFseK15iBJYFedrA/VoMkWzpk0Pa3774tsi52zJibX3xxcPp7WaBNr/CuGZRLUlUkoEWC1fzm+WCuHV07i/CmzOGviVNxa5qc3nztpOyQJGsK1uFQ3CTNOji0fWVKQJYWYnto+Vz0xIgEiqxbh3edUADrevB+HbPDia69y4h+vYtcTj2bJR5/xn/881u3rI3qI1kgTh1eO7dP+zpw4BatioznS/brhdJCH2Xl7eEUjjEg51jwcqrNLf4j0kLaYejXQESJfrJ15+aW4NWvnYza3i6Xvf4Ke0Hl13TLGuXLIsauo2UWonnxC3ycLBrh3PpLw0p5rvfrjUZ5c8x1FjjJUKXnXQ5IkDjhsP55+6z9Uja3k/Tc/ZNzksfzl7j9y8ZUXbDXefHsxuqlz32YNYfvjysPKWdxax7P3P8QLf7wdACORwNfYzOt33MezF1zBC68+h2Hq+Dv8/LBsJZ998DkWi9anhqqKrG7xb5PuT4NTdaHKYlBbEIaKbiZojjTg0bxbfe5pEyagypbOdZzJNYTd31SpX7GKMTvvgKuogD0nbKqGpQdaCSx8Bd/7/8E2fg6yM73rM16o/gGn6sYf7yCUCNARayfPVoiJwfrQWhyqi4unzh1w0YjBkIBzJs3g9ImzUWSFUCJIdWAVHWnv+ZJ6bbEWqgOriOhhVFnj7Ek7cNbEqRmJZYwrm0umzUOTrawPJpsG59oK8MXaiephfPF2nKqLp9YMrEBRf4W+fQ8Mg/CKz4ms/go92M7Jl1zBuHmz0apKmH/skYyfM5PPP/2MeLzr9MeN63QDcR82xcHkrN6nqstIuLUsmsL1aS3BP9yJqwhhxPLF2sizFdEQru33ayN6iJge5eiqSh5YkTzAefJzyS4t4ps336Nq9nYsbFnPaxftyO43vIHub0HdMILkmrkf9vFzO7d1xNwc2n9U139toJ2YHsWpuemIbRrFqhhTwf/d+Nt+xSpLCg7VxZOrv+tyGRE3DFRZYUK+kxVNPTeWvefMMYx15/DID1/yzn0Pc+Cl5zDn0AMAaF23nrpvlhL47GuuvOIqjjn9aH5+0lFc9afL8XX0rXqMRbbi0ob+wkAQhKEXjAfItuRxzqQZ/GfVcnzxLe+UT8rKI8daQG1wzYa+JJBnK8KidL3zb2BQ5HAzZY/5vPjnO3j4zZe57tBf8PBrHxFvWE109WJidT9gG7M9nt2O7dNNmcGI6gk0WaMx3E65awwO1YVhGlgVO1E9TE1wNW4ti+PGzuCZtUtYE2hL67ohCSi0uym0O9m/dAJRPcz6UDVRfcs+MiONYeq0RZMzEGyKgwJ7MZfN2JWXapbTEg31ax3aQKiSzDh3DodWTqY5XE8g7sPEwKG6AIkiRxmGaRCI+ci25hEdouqk1orpuHc5Gt/7j6H7mnFN3ok/HD2fZ2uXYeg6sqKw05678/nTL6Kqmy7h26LN5NsKqQmuJmHGqQtVc0j5RMJ6nLWB9i3247XYOG7sJBJmnMiwH01ML5EICSkRN2K4tSx88fYh22eWNWdQ61CaI/UUOyqATXd6fnLeafzn11czbt4s4jtH2S5hZc/Au6xKxNByyzqfp7iSdyYn5DupdHl5demyLbb/2KrvOXn8TOJGrN/V7TaSkCh1VBCM+6kJdp3vG9ETfN5Uw+3HTeCgvy7u9vX7TS5gr6Kx/GfVV6xYthxPQS4FY6s6f55TVsIBM+fh3r+FP998I/feej+zd5zF+EnjyCvI63abPyZLMgkjPqSlgWXkDScsQdi2WWQrFtm61elnqbJxdKTIUcbZk+fyXv0avmqpI2rozMguxK1Z2aWwgvXBtV1iUrpZI9QcbuCwivGs3X8vvv3f+9x+yeX89ZxLyS4tYlVNG7LFgWuHg3DO3A9JSc/lij+awDBNxnty+cHXQkQP41RddMTakUj2FypxVLAuuIq4Eacj1oppGhxROYm4EePF6lWsDqR2VMajWZmUlceO+QXYFDsJM8H64NoRMP1tYCJ6iOrASpyqi/1Lq1AkjVAiwOdNzXzf0UgokdrCDxM9uRxYNhZFUmgI1RJMJG/6WWQbRfZSFFnFH+sgZkTxWLMJxH20RsPMyC7EF4umtdCDVlBJ1t4n45p7MNE1X3P2T0rxJ2LUhf3IG86x6z9bxIRp47vcGMi3F3eZvhfRw9SHa/l51TTeb6jGF4uwpKMJh6oxM6eYXQorCCdC1AVrhrRwgU2xowyzmRzDKxphxNJkC26Ld0gTocGK6hEMU+e0CRM7R4UqZ05n1sE/4dXb7uWFG/9KTmkxepufP/z+MmYcvRsXPVDd+XpNkbjv5Gms8LUQ7abmf2MkyLv1a9gxv2DAiZBVsaHKGvd+/0W3P1/a0cRxY7dnXmU2n6/ddDLOdmg8fOY0JnpyeXrNdzRFgniLk/PrP370aQ7/3aVYHQ6sssLuRRU0eS3ceNf1HLjjoXz09seMnzSu2/0NFzbVvk0P5QvCRoGEH6fqJhYbmkQIkuW0a4PJqWI75ReyS0EpuqmjSAqRRIi6YDWRPoxaJMxY5xTao6+/nNULv8YdiOI1ZP7+lYF9/JzO55qm0WuD64EKx3X+9MYP/GJ+AT/4WpLV1iSJhBHHptgpdpTjj3Xg0rI6RzB88Xb88Q5yrPn8rGoqET1E3Ihz//LvBnyRnGO1c+yYiSBJ2BTHhm3GaAjVbjPHumAiQDAQQJEUsq357FxQyO5F5USNCKZp8vDKpfi7GYHsC02WOWPCNFRZw6LY8MXaaI02dXmOx5KFP+7Da81BkRTiRgyrYuOr1nYApnoLufKFpaS74J0kyaiefNQZe3L2L+byUUuyj5ZhGKz6fBFvvvE/Xvnw+a1uJ5QI0BCuZXaOF4fmYt+SCjRZI2bEWB+szshIkEvzZKjvZM9EIiSkjCqpSEjDqixib0xM2qLNeCzZSGyavf6T809nyp67sObLbwi1d7D9PnswZ4+92Kt4LJ9fXs4pD35NRzjO/adOQUbi9dqe5w4vaW9i96JKsizZ/Z7LrUgKhfZS2qItPb6jjZEgL61bxsMnzebEfy+itj3MzcePYU5eKT/4mnls9dedUwwsdhu7nfQL3rzrAd574DF2PvYIJo2ZmBz+3zCyNm37qSz5ZsvRreHGIlsxzC2TT0HY1mSifcFGoUSgs/GohEQwEej271KVtK0mMZrVysT5c7EpKiePn03df5fy2pKGZGNJSU5LErRROL4pZhMTi2ylJdJItjU5Ku62ZOEwXYQToc6LRxOTlmgjvng7NsWOx+Ll0mnzSZgJnli9hEAfLtg9mpWfj5mKLMnIkkJ7tIWYEcUXax/wzbPRQDd1miPJ8s9O1Y0sydgUB+dOnothJsuw/2fVd4T7MFKUbbXzs8rJKLJKOBHEH+8gHK4jYXZ9rUN14dG8naMVmmIhFA7g1rLQzU0zTzb/rKTbcTtUYnM4qF7fDkDDilV89drbnHTKSVSMqdiibL6yobDD5n+DwUSAYCKAElVxqE4M0+gcAROSRCIkpEzCTOCxZHdZE5MqEjJ21ZHy7frjHXgsXs6ZvB13L/0aAEVTqZw5ncqZmyoEfd1Wz7KOJnbIK+PZM+cB0BQJ8Mya3u8ABhIxHlyxmFMnzEI39T5P5ZORKXFWEkz4+eeK3hOTH3wtvF23kodOnIUkSfjjER5duZimyJbrhmYdvB+RYIjXbruHpW99QOVvL+fjOfXINpPGhmbeee09br7vT32KsTe6mcChpa+Edq6tAHmY3VUShIwZusJx3dra33mOLQ9frA2vNbebn24KPhaO8NmLr9Ne/AWXnXgir35fhyRv+XduGjpmLIJs23qPs77YfOnRoyuXc96UHWmNNhFOBNFNvXOEoMRRzrrgmi5T/uIberf44x1osgWn6ua4sTP69E9ikiyBHkoEkq0Thqh88Uiy8aLdH++gLdqMJEm4NA8njtu+j++xSUukkfCGEbbu2BQ7RY6yzpEKf6wD3UygyRYsio3FLZv66wzFn5ppmlhUmfP3Kef79sbOSrHFk8az6wlHc9mu+xFnyxHXUCJItiWXluiWLTZ0M4E/3rdy2tsakQgJKRPToz32ihisZBK0ZcJhVxyDmh9vYrI+WM24rCnYFJWIvuWJaGPj0aih81HjWj5q7F/PjpZoiP+s+objx85AN3TCes+FDSC5LqjYWU5Mj3Lvsu/6tI9v2hr4pq1v5S93/sXhTN9nN9b/5wUuvPAiSitLCQVD2O029j90X/baf48+bWcjryWXqB7Bqtg6H1NlDa9lcGu4eiIhibLZgrBBVI+Qbc2jPdqKOUynUEnIZFm9Wzwe02NYZAulDg+1IR+yIvPZ0y+yJC+X8449kTG5Lta0bpq+Y+px9I4mQt+9T3TtN+SfcMOgY1NliUt/UsX3G/qzBRNxdCOBhERTpJ6xnkmdz03eOMvuHK34sbgRoz3WQnusZdBxCVtKmHEwk4UBNk5TTIUsS06X6VpOzc0q37Lk+iwj3jn1vSEc4HeHjOX1pQPr5ddXkiQxvciDS9b4rH4tKDKRQBCby8n8WXPIzyugOvDDFq9zW7JS+r6kmiIpuLWsTIexBZEICSnjteagGwk6Ym1pmbakdzMFJJQIYlMcg1oobGDgj3Vw6oSpnaNCm0tFpaL1IR/PrF3CzyqnUBtaS1TvuRN8oaMU0zS5p5tYUmVMaTnX/uN+fn3tJTz/zAu4PC7Kq8oYN7FvvQc251CdQ7r4MdeWXHPl1NxDtk9BGK4KHaXEjdiGuf9Dt04oFRJmHH/cR7kzi9qQD9Vi4eDfnE9uRRk1RoT7Tp7CT25bmHxuWz3Br98i8NlzSJoV3d+K78Mn8Oz6i0HFkOOwkG2x81lTTZfHVVkjlogSiPtJGDG81ly81lx0UycY92/1hpYwMjhVN87NCu/4Yx2YGJgYW7Rn+LBhDb+esRuqLJEwUrsEIFa/CjMWQvc1oxVP4G+X7cx3vkZQkjf93n/wcdYu/panHryXjlhrZzXGkcQiW0mYCVSGTzNVEImQkGIGBsqP5qimU6rWI7XHWil2lOFQNEJ6aivUbLTK30pTpJ4SRyUN4VpCiSCbj3JpsoVsax6qpPH3JQsx0rjW6sjKKiJ6GItT4+iTfpa2/aSDJltEEiQII4SE1GW0eEtdj3Nj584C4MNVSzltxs6UZtmo7YhgxMJEVi5CySmm6Iw7CC/7hNYXbht0IpSMoGsMbdFm8myFVAcCdMRaKLCXdP5MkRSKHWXUBtdusUZDGFnsioNCR2mX0SC76mR9MDnrI89WxHNrl3b+LF3n5LbX7ia85COMWBg1uxjNiHNe9fOUHbQXlTvPBkC1aGg2K1Vjq3q97rEp9rTEmDLDcAl5RueXVFVVIUlSl6/LL788kyEJgxQ3Yn1qttdf6W7WGtFD+OM+zpo8CyWNvSoe/GElrdFGCuzFlDjKybbmkW3NI8eaT7lrLKqkcu+yLzvnBKfDKePH4bF4aQzXpW0fSal/HzXZgk1J/VoxQdjcSDs3xfUYHos302F0y6m6MPtZZqtu+UqeuvMeXv38I249ITlKrRVUkbX3yRhhP0YsjH3SzkiqhcCXr6c85udrajvXIIYSQULxAOHEpil6TZF6SpwVaLKlp00Iw5xFtlHsKO+SBEX1CL5YW2eCK0sytaH0rqsJfv024SUfkX3wRRRf9CDefU7j/EvOoD0a5r8338krt96NYRjsfdZJHHXt5VudoaJIGvZheo70WLw9rtPKpIxPtL/22mupq6vr/LrqqqsyHZIwCA7VhcfiTXnisnE6VHdSVYqxOVKPKqkU29M72vDAihXc8d1nRPUIiqSiSCqypPDEqm+5c8mibtcppVKWJZvmSMMWVXMGQqLnak6arKW8149L84gpKcKQGEnnJofmGr5NjSUJvZciACawfU7X2FWLhSXvfcxKXyszc4opdFsAE62gCtnmJvTtewA4Zx9IYOHLaQlb3rAaEaAxUodls6SnyFFGW7SFUmcliiQm1ow0mqxR6qygOdJ1Xa2E1FloQN7wCUj3AEbo67dwbL8v9gnzUOxuZuy0G9f+5nJ++qtz2f7Affjq1bd49/5HAHDleLd6vWOYCTJePaUHLi0Lt0WsEdqC2+2mqKgo02EIKRQzomRb87ao0T8YVsXW7fQKj8WLYep0xFpT0muhLdrML8ZO496lCwkk0nfnIm4a/GP592nbfk/OnDgFWVIIxlNTPjPXlt9ZPvfHAnEfVtlGiNSUgZWRybHmiWpxwpAQ56bUsMi2Xqfy+GJtlLnG4NasnT1i8qvKsblcvPP6G5y49wFcf0wZZ963CvQ4ZjSE4k5Wn/PsdgzO7fdNecxt0TARPUK2NZ/WDRfG7bFW7KoTh5qsVJdvL6It2kyps5J1gdXbTK+fkU6RVEocVbRHWyh0lHY+HtUjXVpc5NoKCcR9ab0xaRo6al45sfXLMRMxJNXCH44qoybUgVSUy15nnACmybf/e5+djzmCioIinKqbmuCqHrdpYGJRrOKGYT9kfEToz3/+M7m5ucycOZMbbriBWKz3i89oNIrP5+vyJQwvDtW1oa/E0Hy8TEhZj4n2WCv+WAdnTpqFNU2dzDPltAkT8Vi8rA+uTdlJW5HU3u9Ep/DGlNuSRcIQ5WWFoTHSzk2ypAy79QESEjnWvF6PETEjim7o2H50vN37rBNZ8Nyr3P3fJ9m1sJJ401p8Hz+NEQuh5iTX7EiyguotTHncJvBZUwPqZjdd/PH2LW7GZVvziOphip0VaZ++LQxesi1FBcGEjzx715scqqx1KS+tyArvNaR3+rgkK9gn7USidT2BL16CiJ9dC6t4r25153Om/2QP/C2tdDQ0YVe0DeXae57N4VCd5NoK0hr3QDhU57DtMZnRK72LL76Y2bNnk52dzeeff84VV1zB6tWruf/++3t8zY033sg111wzhFEKA2VX7RsKAgxOtiVvi/LM6dQSbUSRVc6ZNJO7liwikcGGhakyOSufHGs+64Krh6xXRUQPk2sroCOamtE6jyUbi2JNQWSC0LuReG5Klqb1EtG37C+SKbIkb7GmoS3aglXe+t/xtL13Y/lHn3PP5X/gqetvoSg3m29XVJO1+/FouaVbfX0qbH6DLW7E8cXakaBLPySPJZtg3E+Ro4y6UE03WxGGg2RbigpierSzUe5G/lg7USPapciTPEQ3cq3lU3Futw8d7zzEmOA3PPBYhFUFDqwuBxISyz78DFmWKZrQfUXXiB4mEPeRZ9t0Q2DjtM7hlHh4tOyULWNINcns7yrGrbj66qu3ejL44osv2GGHHbZ4/JlnnuGoo46iubmZ3NzuGq8l77pFo5tKhPp8PsrLy+no6MDjGaZzpLdBoUQQf6wDX7xt60/eihJHRa9VwnQjwfpQdcovAIod5QDcteTLYXQ46b8qVzZHV02lNlRNNMXvUamzqnOqSHfiRoz1wepBl/WVkKl0j0eTh1fZzW2dz+cjKytrRBx/t4VzUzDuZ32oekj21ReF9mTCsnkhh4gepilcT0TfVHyg0jWe56uXs9LftRl3PBpl5WeLaPxuORWyjaWu7Vllq0xpjLPLvDx26hz++v3HXR7Psdo5fcLsLtXhLLKNMmdlt+0CwokQMSNKY3j9Fj8TMq/YUY6EtMW1xPpgNQX2EtYFV3cu5LcrToocpdyzdEGXKfIyEr+esRt73PEBazfrb5UKc50+Ih8+zGuvvoo7N4eyaZNZ+9W3ePLz2OWEo5l9yH7MyC5k7+IK1gU3jRg5VTdZlhyc2qb1uMG4n5gR3WINVCaVOcds6Ac5NPpzbkp5ItTc3Exzc+8NnaqqqrDZtry7X1tbS1lZGZ9++ik77rhjn/Y3kk7E2xrd1FkfrO5ywusvWVKocI3ttTpPU7gOl+ZhXXDNgPfTHQmJUmclMSPWbX+hkaDI7uLEcdtTH16XktG5zTlVF3m2ol5HaSJ6GF+snY5Ya4/P6YsSRwWGaQzLhZbbspF0/N0Wzk1xI0ZDqJbwII65qdTdjZLuEiG3lkWONZ9bv/u02+2YpsnB5ZMxMDnkr191NrlOhY9+sxPLfM0saK7d4mcXTZ1De7SF4GaFepyqiwJ7CWo3N2WieoRQIkhHrHVYVsfaFllkK9nWXDTZyrrVtXz22WdEo1EKCws5+OCDMUyDdcE1XW4SujUvTtXFXUsXb7G93QqryLM5+MmtC1MWoyTBG7+cQ3sswgvfLuDr196mee068irLGTdvVudo0K+n77Kh9cbmn8ctEyFINv+tD61LWYyD4VLd5NgKhmxWD/Tv+JvyqXF5eXnk5eVt/Ynd+PLLLwEoLi5OZUhChiiSQrY1l7rQwE/KLs1DTI/2mgjl24vTMh3ExGR9sJoy1xjOmjSNfyz7LuX7SKccq50Txm1PU6Q+5UkQJKeNxIxYr4mQTbGjWJVBJUI2xY5FsYpStcKgbAvnprgR73a9ZCoTh/7o67qZiB7uNT5Jkni7biXHj53Jg+dM4JR7VqQqRDRZoT7UW0GXrnFtPJbWhWo6Zw1sZFVsJIw45c4xos/QMGBXHBQ7Kwgngvzv1be45ppraG5uZvz48XzyySfMnjeb6665ltLtk2tqNv6d9Pa5bQj7KXaktrLsE+dNw6PZeLlmGe7cHHY5/qhunydLcp9ndQynNWvJa4XokCZC/ZGxYgmffPIJt912G4sXL2b16tU8+eSTnH322Rx66KFUVFRkKiwhxWyKY1B9X1RJ7bX0aroZGNQG1+LWPJw+YVLG4ugvl2rh1AkzaYs2dVkAmgkby5AOVJ6tEH8ss7+DsO0Y6eem7ubhZyIJcqiufk1llZFReyl6E9YTvF2/iu2yi1Dk1Pw+qixhU9Qe11IE44EtFp6bmLREm8iyZHf7GqfmFn2GhgHrZn2CXJqHc845h+OPP54lS5bw8MMPc9ppp/HRex+x9577cNPVtwF0JkE5tnyCie4rq5qAQ9FI1Z+UVZWZll3A67UriBk9N6K3KWq/ynnbFcewKZ6iSOqwbKS6UcYSIavVyhNPPMGee+7J1KlT+f3vf8+ZZ57JY489lqmQhDQIJvy4tYFNZ5IlhWxrHp4eTjibUyUtbQvxdDNBbXAt2dZcfjV9ZyqcWSm51yIBBTYnhTYXhTYXWgoq37k1C+dMms75U3bCH+ugfZBT0npjVeyYfSgkEdHD5FjzB7QPTbZgVezk2Ab2ekHor5F8bnKoTvJtyWpYjfVN3PWXe/jtuVdy8zW38en7n2MYQ1f4xSJbCfSxTH/ciBHRw5w2YXKvz6sOtBPRE/z3gu1SESInz6vAn4hRF+4+zod+WNHtXexA3IcqabREGrt93cY+Q5Wu8Z3rpIShIlHsqKDcNYamSD0AL774IhUVFZx33nnY7XaKi4s57dyTOfjQg7n0dxfz/BMv8tDdDwPJURdFUnjwh5Xdbn1NoA1Zkjh8xuBHh2UJXrpoFo3hAA09fAY3OnX8FPzxji4FHXoTSgTR+lCUJN0kJHJtBcN6WnvGqsbNnj2bTz/tfj6wMHpkWbI3lHvMpT3W0q/XejQvcSOKtQ93NcKJIFmWnJT2Ltpc3Iixxr8CjyWbn4+ZRlSP8Hz1KqqD7f3azgRPLm4teXDapaAIq2LDMA0kSUI3dd6vX4cJLOtoIpToe8NTm6KyXXYRexRXEdXDrPEvT2t1OAmJbEtun+40OzU3mmyhLdrcr+pxiqRS6qykJdJIvl30cxGGxkg/N62rreW3v76KF599iaLSImbvOJP/vfw2773+Pof8/GDOuuT0IYnDpXl6vKveneSFW+8jKAnT4Ok133L8uJn857zJHPf3pYOKMdthYV2wA6OfS6UNU6c2uJYq94Qen7PxmGWRLRTZS2mLtaa8WI3QlV1x4LXmJmumSTJFjjIAvF4vK1euZMGCBeyyyy4ArF5WzaeffsI1d15JW2sbzzz6HD87/giysnq/YI8bBnVhPzmOwY/2PXvBDJyqhSdWfb3VARNZVgjG+96TL2HGcWse/PH2QcU4WB6Ll4QRH9YVX0dXoxRhWNJkC9nWPHQz0a9pWlmWHCxK3w42cSOW9jmxJiYdsVZ8sTZybYX8Ysw0QokgcSPGfcu/7/FAdvqEiVgVO7IkY1XshDcsdIwZUepCNZ3TMrKteeyUn4ciqexVVEFED2Ni8ujKZfji3VddK3dmcUh5FTbFTsKMUx+qSct6oC1J/ZpuY5g6Ds1FIN633ioyMqXOSvyxDpEECcJWmKaJaZrce++9/OY3v2HCxAn85Z4/suNu88jyerBYLbz63Ov87uJrhiQRsio2NNnSpaRvX8h9GBWP6AleqlnKz8fMQJWXkTAGNucmx6Fx2vxyXqtd3uNzEqbROaL945tsCTNOWA8RN2I9TpMDsKkOItEIpc7KQRcPEnrmVF0U2kvxxTvItnat7DhhwgSmTp3Ko48+Sm1tLVaXxqmnnMq5vzkTl8fFT488gDde+B/BYIgxBeMJJ3r/N1oX7OCSfcbwn4XrCMf7NkLzYzZNZrucYv6x7HPifZhZ0d9y3tnWPAzTQJU0Embfb6qmmlvzDuskCEQiJAwRVVYpsJcQ1SN9KqWcbyvCMBPA8JtjbWLSHKnHF2vDpjjwWLL41fT5Pc4zN01oizWDCU3h+h4PSm3RTRWtXKoHWVKwKjbOnjy3x+FwRVJojTQTTPj7nGRkQnuslXxbEVE93GszOEiONpU4k4mgmBInCFsnSRLLli3jnnvu4YILLuDs888i4Ymw+cT87WbPIDvXy4JPFrHDzrPTGk++rYiOWGu/GjsGEz5yrHkU2l00hHu/890YDtAcCfHCRdtz0F8XM5Dat7uPyyOYiPKDr/eZCq+tW81PSsq7/VndhmI6W+O15gBQ6qwgnAjREF6f0bWvo4kqaRQ6SrEqts4CTT9WVFTERRddxA033MBrb7yGhMT+h/2E0y88FcMwsFqtqJpKQ10DO4y389+1vRfj+Katgd0Kq5hbkc37K3uvRNltzLLEKxfNYaW/pcebnJurcmVjUWyE+lma3RdrI99elLH+VhIyajel5oeb4R+hMGqEEyEq3eOpCazqtcpbjjUfh+rq112EHFs+4UQQohJDtSovZkSJGVH88fZep3QkjHi/G4oGEhuSmji0x1p6HO3STT0jJ1SH6iRhJPp8kCtylNEUrqfEUcW64OpeYy5ylKGbeq93WQVB6OqVV14hHA5z4YUXkluYTXustcsI/ItPv0wsFmPsxK1fuA+WKmv97m4fN+JEjSgu1cLWup+YwLNrvuW4cdvz1PnTOOpv/a/oef2hk3ij9oetPq+3ppQGBoG4D91M4FBdPT5vI1lS0E2dKvcE2qMtdMTaMnq3fiTTZAteSw4eSza+WFuv/ewAjjzySPbdd1++/PpL8sqzwZ68uRiPxXnmkf/idDnZbvYMoG9XEB80rOGWoycx90/9S4QkCZ6/cHssssITq/v2uXVpFiJ6qN/neq81l8hWRrfSKcuSTUyPDfuiIRkrliBsezbWuS92VJBjze/24j7Lko3Hkj2goVRV1jJSntHE7EyKuvvqbxL0Y3Ej1uO2M3VX0WvN7fednnx7EcGEj1JnRbfD/A7VSYmjorPKjyAIfbd8+XJ22mknSktLCcR9eK25gMTaVdXce9v9PP3ws5xy7knk5Kb3BoNTdSEN4tJC6WPRmKih8+Tqb5jgyePVS2YxrajvJY3vOWMMkiSxNtC3ht+9TQNOjuRLdMT6ti2PxbthmrSNctdYsq15w6rU8XAnIZNjLaDcOQZV1pAlecNnvXe6riPbYc6Os7B4FSxWC+FQmGce/S/P/ud5brjz2uT2+/j5W+lvxa3Z2H9y3xP+Hcq9vPHLORTYXTyz5lv0Pg5l9vVvojuaYh1U5d6BkpDJsmQTyHDV2r4QiZAw5FRZxa46qHCNo9RZhVW2UWAvocw5hlxrQb9Krm7OMA1xOhnmsq15RPUoFe5xlDmrsCkO8mxFlDnHUGQvw6m5sW/lzp4gCFs67rjjeO6553j55ZfxKDl88ekCHv/nk/z5dzfz38eeZ+8D9uSI4w5Lexxui3fA02ECcR8Hl4/v8/ODiTiPr/qKQCLG02fOZXze1o8dP5lUwJ7FY3ly9Td9WptRG/Rhka09jjiYmDSG1/f75o1Tc6PKKg7VRYVr3ICrq25Lsiw5VLrHYVNsKLLa5/fcMAwURcGpumnYbHqZYZhsP2c7br7vT0zdbjIuzYMsyTREtl6UIJSI8+yab7nz6BnsWLn1mwvbl2bx6ClzaI6EeGL110R7KZW9OUWS+EnJmAFPfffF2jLy2bLIFiRJotAx/KsmiqlxQkZsnEbQEW6j3DWWsB7Erg79XQth6HksXiA5taHMWUlUj2AT//aCMCi77747J510EpdddhmrVq1i4qSJRKJhCssKueKGy9jjJ7ulPQabYsc+iLvPvlgbBfb+lSXuiEd5p24VHbEIb12wK8s6mjnn30tZ1dK1aIxdU9h3Yj63HDmNp9d8R1Okb0VlAokYoURgQyni7l8TN2IE4/7OxKY/NiZY+bYicm0FNITWkzDjxI1Yv7YzWllkK6qsUWgvAZIzP7Y21Soej+P3+zEMg9zcXGRZJpIIE4oH0I1E5wif0+Vg6vZTOr9Plnz3EdX7NtNiXcjHSzXL+PdJszn/ia/5YFUL0UTX5HpigYv7TppGpcvLizVLWNLev8q2FllBlpQBJ0LJQlU67bGWIf1M2VQ7uqkzsNvaQ0skQkJGbawI1t+TR3fiRgy3ltXr+iNh8CyyFWuK+hNIkiySIEFIkdtvv51vv/2Wuro62traGDO+krxJ3s6fG4aBLKdvIogsKcSNGOoAR/VNTBJGnFPGj+uxj0tPFrWs57u2Bg4sm8Rr5+/MPz+upi206cLv9N1KsCgqL9UsY10o9dN1GsLrqXCNHfDrFVmlLVxPvr0IVdboiLaSMON0xNoZ1t0o00BCwmPJRpMtneWXW6JNnclQbx599FGeffZZXnnlFWbPnk1ZWRmnnnoqe+y7Oy2xRiRJIuAL8Ni/nmT/w35CRVX3hTD66gd/C/9b/wO3HjWVjniUhz+q7/zZ/rNdzMguZLmvhVu//ZDEVkYgVy1YTE5pMd7iws6/1ePGjh10AqMbCeQ09VnsSbY1f8Cze4aaSISEUcOledCNRGcTNSE9HKqLQMIvihkIwjCjqiozZ85k5syZQLIAQWNwPf54B4qiIElSWpOhXGs+wURgUNNbmyMNA57KEzV0nqv+niK7i52nFgOb1owu97XwaWN1GlMKs/Ou/UDXquZt1ipAlhQ8qmtDP704LdHGUT9KZJFt5NjysMgWDNMgqkdRJAVFUfqUBNXU1HDWWWfxy1/+kuOPP55vvvmGb775hnPOOYf5e+zMRb87l9z8XBZ8uoiH//Eofp+fS3938aDj/q69kaUdTcwvqOSnO2yarmeaJg+vXExLtG8FC5644noKx4/hF3+8Eme2FwC3lkVzZGvlQ3oXSgTJteazPlQ9qO30VZYlu0/N1ocLkQgJgtBv5kDq1QqCkHaxWIx7770Xn8/HlVdeSZYtm5CRXPMgScn+X7FojFgsjsuduvV4mmzBqtgHPcJrmAaqrKFK8lbvoPekPhygvrb3Esj9YZomlj5UvmqNNqHJFqJ6GM8gbxRtLLkNEIo2U+Eah2HqtEabCMYDmJgjvgS3KqmAhFvz4LXmIksKbdHmzkS4vwn1rbfeyr777sv1118PJCvFLf7+S1555WWeefoZrv7V9fzuL//HrnvP54obLmOXPXfu8nqLbB1wsqmbJh80rBnQawF++Gwh/qYWZEXh3lMu5ND/u4RpO89DQkE3Bvfv7LXmbOgppKa10fpGLi1r2PcO2pwoliCMKpIkZaRCyrbEqblG/AlYEEYri8XCW2+9xYsvvsiaNWvQZAs51mQ/rlAwxN0338upR5zFecdfxD/vfJCGusaU7DfXWkBrtP89VX4smPBjmAZTvf0rv51Oj65ajseSjSJt/d5xR6wtJVO9N5djzUOWZFRZw2vJpdw1lir3BHKtBbi1LNxaFpYUTVdOJ6ts64w331ZEpXsC5a6xGwpsJCvA9bfs+ubcbjdNTU0kEpvOTzMmz+CoU47gxLOP57uvlvDfx55HVVUOPHx/PN5NozcbC2I8vLLnBrvp9MFDT7D7qcfyy2cfJLu0mDfuvB9rdRMJM0bUiAx6+75YO9nW9Pfly7cVj7gqiCIREkYVWVLElK000mQLFtk2qJOVIAjpddNNN/Hyyy9TVVWFVbF1Npl8+pH/8tIzrzJ3/hzKKkv55P3P+MMvrx30/myKHYfmIjdFDZDjRgybMnwmrPji0Q1VSbd+gRfRQ3TE2ojpW2+UORAWxYoqq8iSjCZbcGkeXJqHMmcV+bbizq9sa15a9t9XEhI51vzOeApsxZQ6KzvjVSR1Q3Knpqztxe67705DQwP//e9/iceTBSdaok1IGhx05IEcevRBvP7Cm4RDW64jlpDQTZ1wHwslpNrKz79k2j67Y3HYOeDis7DY7fzyyGO58847iUWTo1SGMfDpZl5rDm7Nk9aEWULGa80ZcYWvhs+RRhCEYU9CwhxkXyRBENJrwoQJQLJ6FkBcimH6ZF559lV22Hk2Z/3ydBxOB/W19fx058P5etE3nc0k+0tC6uz/lSr+eAd7FFWyuLWOWB/LDA8nrdEmVEklZsRwaX3vb9RfbkvXtVSbT6eLJMJ4NO+WfexMaIk2EE5Ro02n6iK7mwRYkRTiRnyLsuMuOX094ubNm8ecOXM477zzaGpt4pCjfkpYCXRWhZsxezqvvfAGwUAQu8Oetjj6a8F/X8GV46V8+mQAiieN55J//Y0f7nuCe+66F9Oic9SJRw56bV9ztJESZyVr/OkZ9cq3FRKI+0ZcH0CRCAmjjlWxISGLC/Y0sCkOjBG0CFIQtlWJRILPPvsMTdPYcccdKS+qZPUPa/n11ZficDowDIOi0iJ223sXFn7y5YATIafmxsAglTWpQonkmiaboo7IRAigLdZC+SCqyA2WTe35Qr9YqUAeRJPOzemm3mMSvLUy16nm8Xh48skn+e1vf8vFF1zM40/+hxPOOpaS8hIkSeKhux9myozJ5BVkdrTsx+pWrGSP044DNoz6mCZOu4Urf/d/+BPtXPObG/h28XdcePl55OZvvXlsTwrtJRimjl1xEtb7Vj6+rxRJwaG5hvzfPBXE1Dhh1DFNE2eK52gLSdnW3JRNYxAEIX1UVeXyyy/n/fffByBhxtln77355x3/AkCWZT59/3M+fvcTJk2fOOD95Fjz+nXxE9djnb3EehMzYvxiTOYSicGKGzHaos1pmyI3GKlKgoCUjgSmyg03Xs9L77xAJBLlt+deyQUnXsLJh52OrMj88c7BTwVNtb3POom5Rx4EJP8uZUXhiIoq7G47l1//G6655Xc88+hzvPnSW1u81mPx9qvAgywp5KR42qSETImjgmDcn9LtDhUxIiSMOgkzgSIPv4PzSCchDXkvAkEQBm7fffflmWee4ZJLLsFtyeKm229in9335Q+XXovVamXlitXssd/uzNlx1oC2n2XJ6fcxwW3JQjd1GsPre31ec6SBIkcpMhLGCO2j0xZtRpFUdFMfcesmRqqYHsUXb2fsjAoefeVBFn/xFQF/AI/XQ8WYimE1JW4jp7frFEdVknFbvFT7k720jjz+cJAkZs7dbovXDmQamkVJFq3wx1PTT6vQXkLciOO1Dny0KpPEiJAw6rg0N7m2QhhhlUuGu2xrHlF98NVrBEEYGldeeSV1dXVccMEFfPLJJ5hR+O1vL+P1F/7HQ/c8QtAf4LTzT8Zq6/8CapfmIcean7apMBE9TMKIs0NeaVq2318mJtYBlARujTSKUfQhpMoabZtVL5w5d3t23XsXtps9A292z/2prIpty/VUGXLahMlEEiESZryzVcWRxx3G2AljUrJ9VVbJtxVtsX5rIBRJxaE6t1ivNpKIREgYlRRJEWlQiimSglMTUw4FYaTQNI377rsPn8/HnnvuyU9/+lMuvugSysvK+du/b+fx1x9h6vZT+r1du+KkwFaMKqdzUolJKBFiZu7wuMB6bd0P5AygWqaBQUtk9DdDHQ4SRnyrI409ybHl8/za1PWeGgxFVjvXyW1sgjyYinE97aPIXoZVHniSLiNT4qzAF29PXWAZIKbGCaOWLMno5shcaDscpXJeuSAIQ2O//fZj77335oYbbuCbb75h7NixjJ1chYlJXagGwzD6VY3KKtsodVZ2VuJKp6geosBeikPVCCXiad9fb1qj4QH3R2mPtWy4keQWo0NpEjditEdbBzzdS0KiLbZlWe2hZJomWaoFp+LCF2vHNE1am1sHVSChNx3xdspcVVQHVvU7UZeQKHZWENOjGS/VPljiykYYlXyxdvJsRZkOY9SwyFacavrKwAqCkD6qqjJ27FgOO+wwZsyYgUN1oUgKVe4J/ZrSoskWSpyVXaYepVMwESBhxBnrytn6k4e5lmgjUT2MP5aadRnCJqFEgEDcR3usJdOhDEjz2nUEWtqQJImjx44lakSI6CG+/HwxJx16Ov+4/Z9p2W+ONY+OWBulzkrUPjQL3sijeal0T8A0jT4VPhnuxIiQMCp5LF5CidSWh9yWqbJGzIhiT+tUGEEQhoIkSdg3rA8odJTSHK4nEPf1ukbCoboosBfTGm2iwF48VKHSEm3kgLJxfNveMGT7TJf2WCsljspMhzHqWBU7DaGBTYnLlEBLG1++9AYfPvIU7rwcJEnGnZdD8WlnseP+c1BsEppFY8KU8UyaNvCqjluTbc2jJZLsL9QUru+1rLYiKbi0LHKt+SiyiiZraYtrKImrGmHUsio2rLKNqCEW+A9WliWbmB7tvHgSBGF0UCSFLEsOXmsuwbifYMJPRE9OEVIlDY8lO3ksVay0R1uHNAkCCG+4oXXK+HE8+MPKId13qkX1CB2xVtxaFpYBFF4QtpQsU95Cwszs1Mn+euW2e2heU81OPz8MR5aHkM+PdV09f/7zn8n+VxZnXnwau+w1n9sfuDntseTaCmiJNFHoKCWSCBEzonTEWjuXFjhUJ3bFiUvzJPtGjbIboqPrtxGEzQTiPuyqk2hMJEKD5VTdQ7ImQBCEobex+aZVsZFl5nRWh7TIFkKJIC4tOS023z70041NTFqjTaNiCg5Aa7QJRVIxTB2bKKk9KFE9QiDuoyPWmulQ+u27/73HyX/7E2N3mJl8wDQ5ylvKex+9zcMPPcq1l93Izf+4kRmzpg9JPLm2fAA0SxaBuI9y11jiRjK5tMrWUZf8bE6sERJGLcPUsSnDr2fASJOsKjMy+3gIgtA/iqTgUJ04VCeqrA2LBMQf96HJFsa6R/5aIYCmSB1xIz5iG1AOB+FEiEgiRGu0KdOh9FvDyjVklxajWjZNLZueXUR5WTl7HLQbdz1yBy63k9dfeDMj8bk0D5ps6TwOjOYkCEQiJIxi2dY8HJorbX0uthU5tnxaRuDJRhCE0cEwdYJxPz8ty9z6mlSPiDeEa5EkCV+sPaXb3RYE434SZpzGSF1KtzvQqoD9lVNajCs3m1duuZvWdesxDYN9SsoJxH2YmFgsGocfcyjvv/nhkMSzrROJkDCqBeN+cq397/0gJFkVO3bFQZ6tMNOhCIKwDWuONOBU3bi1zNzY+lnleMKJUMq2Z2KyPliDRbHSEmlM2XZHu/ZoC5Ik0RCqTel2w3qIY8dOSOk2e6LZrOx3wenEwhGe+L8bWPXmB7Q0tLK+vQaASDjCFx8tYOLU8UMSz7ZOJELCqOaxeDvnvwv9Z1VsBDc0dhMEQcgUE5OOWCunTdgeLQM9zayKPeVlw00MWiNNuDRPSrc7mjk1Dy2RRswUT9duizZjU4ZuzVbFdtP4+Q3/R05RIY/8/kZmzpzFL0+/jKsuvpoD5h7C+nV1nHnx6UMWz7ZMJELCqKdIChZZVOgZCKfqEk1pBUFIKQkGdNHZFKnHxGBm7tBWrkunYMJPwogPuBHotiSUCBBOBDurGqZUBpbBFk0Yy1vPPc53K77hV3+4GEwTv8/P0Sf9jD/ffcNWy2aL83NqjO4VUIIAtMfa8FpyaIzUEfAHef6JF1m5bBUl5UXsuNu8IavKMtKokoZDdSFn4O6rIAijlywpZFmyiYT7P9XMH+tgt8JyvmtvJJQYWSWTe1IXqqHUWUVHtJUs6+goCJFq/ngHMjIN4ZHVL6g3WZoNj8VLJDvMUSceyVEnHolhGMhy3865WZZcFElJc5SjX1qvcG644Qbmz5+Pw+HA6/V2+5zq6moOOeQQnE4neXl5XHTRRcRisXSGJWxjcqx5xAI6f/jldcyfuAd3/eVu6tfX89A9j3LlhX/gkfsey3SIw1KevVDcpRRGHXFeGh4GuizdF28nmAhwxsTtUhpPb6yKiixJpGvYwMRkfagam+oQ64W60R5tRZU06kI1pO/fAGRJRh3CG3+nTdye9lgrwcSm6oF9TYKE1EnrOx6LxTj66KM599xzu/25ruscdNBBBINBPvzwQx5//HGeeeYZfvWrX6UzLGEbYZompmnyz3/+k/Fjx/PFRwu48k+X8/Rbj3PTvX/if4te4aSzj+eOG+/KdKjDkkW2kGXJznQYgpBS4rw08rVHm7EpdrItQ7P+89TxkzdUKkukbR+GqbM+uBaPxUtjOLXV0EaylkgjDtXJ+lB1ytcFbS5mRIjqEU6dMClt+9hcoT1Z0bY9OvJ6II02aZ0ad8011wDw4IMPdvvzN954g++//56amhpKSkoAuOWWWzjllFO44YYb8Hi2XEAYjUaJRqOd3/t8vtQHLowKkiSxfPly7rrrLk467STOveBstLyu9yF33mMnnE4HCz9dxJydZmco0uHHqthRRdlxYRRKx3kJxLlpKCXMBC2RJk6bOJN7ly4kkEjvaJ0syYTTsS7lRxJmgtrgWsqcY9K+r5GgMbyebGs+6wKrMYZgLUxEDw/JVPBsi50Tx21HY3g9Jkba9yf0LqNjcJ988gnTp0/vPNkA7L///kSjURYuXNjta2688UaysrI6v8rLy4cqXGEEeuGFF/D5fPz2V79lythpyD/6yL/50lvIisyY8VWZCXCY8mhefLG2TIchCENuIOclEOemodYea8Ef6+CMSTPTvi9ZUhiq1fRxI8b6ULVYBA/kWAtYH1xLwhy6tWBymtfcyJLEaRNn0hZtEVPPh4mMJkL19fUUFnbtT5KdnY3FYqG+vr7b11xxxRV0dHR0ftXU1AxFqMIItWTJEvbaay/KysrwxzvIsxcBUFu9ngf//jD/vvdRDj/mUHLyxALVjTTZgtuSRbY1L9OhCMKQG8h5CcS5KRNao01YZRu51vSVPS53ZmFT7ATi/q0/OUWiepj60DoM0yCUCA7ZfoeLSCKMburUhaqJGdGtvyBF/PEOXKqbfJszbfsodXiQJYX2WEva9iH0T78ToauvvhpJknr9WrBgQZ+31123ZtM0e+zibLVa8Xg8Xb4EoSdHHXUUzzzzDO+88w4ei5cli5fxzMPPcfM1t/HUw8+w+767cMJZx2U6zGHFo3mJJNI/DUQQUiXT5yUQ56b+sqmOQd99NzFpitRxyoSZeLT0tEg4pLyKYCKAnsb1Qd0JJQKs9i8nYcS3qWQooocJ6yHW+Janp0x2L+JGjLAe5sjKqrRsP9fq4BdjptOYgsp3qqRhVWwpiEro9xqhCy64gGOOOabX51RVVfVpW0VFRXz22WddHmtrayMej29xR04QBuLAAw/k8MMP59xzz6Wuro6x48YSCgfx5mZx3m/O5qAjD8x0iMNOljVHlOQURhRxXhp54kYch+okEB/cWqqOWBuKpHLGxFncvXQBYT11CYtNUfFYvKzsWJKybfaHYeo0hGspcVQQiPtGfePVUCJAwkjQHOl55DXdmiP1VLjGIUsShpm66ZBuzcopE7anNdo46M88gFNzE9aDuOWsFES3bet3IpSXl0deXmqmzOy8887ccMMN1NXVUVycbJD2xhtvYLVamTNnTkr2IQj33HMPCxYsoLa2lvb2diZOmkDp9oWdixT7U7d/tMuxFhDVIzjU9E0NEIRUE+elkccwdaQBF9HuqjXahCKpnD1pFnctXUjcSM0C9FMnTMUfa8fI8IL2baHP0KY+QbUZjSNuxAgnQpwxcSr/WPZdSrZpU1TOmDgTX6ydjhSuvTVMUWghFdJaNa66uprW1laqq6vRdZ3FixcDMH78eFwuF/vttx9Tp07lxBNP5KabbqK1tZVf//rXnHnmmWJagZAyFouF+fPnd34fN2I0hevxRdtRFAVJktB1HUXZtkdBJGRcmlsMtwujmjgvjU5NkTqK7GWcM2kWT65ZRkM4MKjtOVUNp+qiLrQuRREO3MY+Q2XOKtqizaNu/WZHrA2LbKU2uCbToQDQEWslz1aIVVaIGoMrWlFsd/PzMZMJJ0K0RptSFKGQSpJppnDs70dOOeUUHnrooS0ef+edd9hzzz2B5EnpvPPO4+2338Zut3Pcccdx8803Y7X2bb6vz+cjKyuLjo4OcZISehSJRPjnP/+JYRhceOGFRPUw1YFVW8z7TyQSqGpa7w8MWy7NQ7YlF5uavoXHwugyEo+/Q3FegpH53gylQNxHIO5LaeUsCYkCezFO1U1TpJ4Hf1g5oO1YZYVzp8whnAjSHGlIWXyDpUoqBfYSbIodRR4d5ynd1AkngjSE1w9Jiey+KrSXoMoW7lqyEH2Al8mnT5hEtjWPQLyDphRP98uy5GBVbKLXXw/6c/xNayI0FMTJRuirvfbaC13XefLJJ8ktyKE50kAg7iMWi/P4v57kk3c/xel28pOD9mH3n+yK3TE0zfqGi0rXBNpjzRTYS7b+ZEFAHH97I96b3gXiPkKJIB2x1DeUtMo2Sp2VPLN2Cav8/du+IkmcP2UOCSOe8WlaPfFoXnJtBaiylulQBkU3EjSE1xNMDF1Fvv4odlQAJnct+bLfxdNPGT+OPFsR64KriRup73OVY81HlVWyLKNzquRg9ef4KxZGCNuMW2+9laeeeoqioqJkiWgtucjw4Xsf4cmHnqa4rJiWphb+dfe/uf2Gv2U42qFlU+yosiqSIEEQhoRL85BnK0jZOqHNRY0IdaF1HFU1jYunzqXQ7sKlbr1BtEezcu7kmZimMWyTIABfvJ32aAumaYzIfm+BuA/DNGiONAzbJAigPlSDIimcM3m7Pn1+3JqVYrubX07bkXx7MetDa9OSBCmSQrY1VyRBKTI6xlYFoQ9mzZoFQDweR5ZlVFkj3mby4lOvMHeXHfjVHy7B6XKw6LMvOfWIszj312fhzR79FVk02UKxo2JIOmoLgiBsJCEjIWGmoVlpWA+yyreMXFsBx4+dgSIrvFe3Bl88ytKOTWs1ZCSmePPxWuzsUlhOKBGkLjT8e0C1xVrwxTsocVTQHm3Ba83NdEh94o+1o8gqq/3Lh9VUuO6YmKwPVlPsLOfcKfN4v34tvliEJZt9fiRgqreALIuNXQsrSBg6/ng7bdGWzoJMqSZLMoZppL3567ZCJELCNiUej/P555+TlZXF9OnTybbnUr2mhr89fDtOlwPTNJm94yymz5zGO6+9yxHHHpbpkNPOrWURSgTwWLyZDkUQBCFlTAyaI/U0U49DdbJDXi42xc5PSio6+wJpsoYsKUT1COuCa4kOce+awdDNBOtDaylzjiEQ9+PS3JkOqVeheABNtrIuuCZtSUKqGRjUBtdiV5zMyc3p/PwkNnx+VFlD2fD5qQ2uHfLeR8LgiVvAwjYlkUhw4YUXdlaKyspxM278OB5/8Ekg2Ujxw7c/Yu2qtYydODaDkQ4NRVLxWnNFEiQIwqgWSgRpCNeyLriaYMJHRA8R0UP4Yh2sC6ymIVw7opKgjXRTZ11wDVE9jGHqKelRk2qheADd1AkmAtSG1o6YJGhzYT35+akJriaw2efHv9nnRyRBI5MYERK2KXa7ncmTJ/Pyyy9zwgkn4NBc3HrLLZx44olYLBacLgcLPvmSXfaaz9TtJmc63LRzax7iRgxF2bYKQwiCkHm6qWNXnUO6TkQ39ZT2chkOdDNBa7QJX6ydfHsRwbgf5zAZHQongsTNOA3+2s5RlJHMGAafH7viQjd1VEZ2sYzhQowICduc6667jrfeeotrrrmGdevWUTamhMt+exn33/Ev/vL7W6mvreeEs45F00b3Qcahusi25mMTSZAgCBmgyirZI2Rty0iQMOPUh9aRMBPoRoL2aEvGYumItZEwEkT1CI3h9aMiCRouvNYc0e8vhcSIkLDNGTduHH/5y1944IEHuOmmmxg7dizLly+nvKqMc399FoccfVCmQxwSHosXdZT0ohAEQRCSC/wbw+tpl614rbkkjARxI0p7rJViR3la990YXo9by8IiWzFNI22lo7d16ai0uC0TV0HCNumUU07hkEMOYdWqVXz55ZdUTCxlr932YV1wDYapYxgGsjx6B0y9llwxEiQIgjBKxYwojeH1G1ojaBTYS4jpUSxK35sC90fciJNjzacxXEfCjBPVI2nZjyCkmkiEhG1Wbm4uubm5zJ07F4COaCvF9nJqQ2tHdRLk0jxkW/PEaJAgCBlnUWxYZCsxI5rpUEaliB4GPUww7sdrzcVNVmels8FqizbjsWSTMOJ0xNo2rJ1JfSl0YRObYkcR5+6UEu+mIACmaZJlzSFhxLEptlFd/SXLkiOSIEEQhoVA3IdTcxOLikQonUxM2qLNtEWbsSp2sjQvSOBUPUT0EKbZtwRGlmQsio1Qwo+MzLrAapHEDiGX5klJEitsIq6GBIFk2WyA9mgrhfZS1gVXow/zZm8DkW3NQ5XEn70gCMODaY68UsojXVQP07jhZp8mt2BXHP16fWjD9DdBGA3EFZEgbCbPXkhbtIUSR+WIavrWFx7Ni9eSgyqP7mp4giCMHLqp41CdtEWbMx3KNiluxERBgxFCQsKuOjMdxqgzehdCCMIAZVtziRlRSpzlo6Y6i1N1k2crFEmQIAjDSq6tAItsxSKnZxG/IIwWNsWOLC7bU068o4LQDY/Fi2lCob0006EMmk1xUOgoFQssBUEYlow+rk8RhG2dMQqn7GeaSIQEoQdOzYUma+TbijMdyoBZZCsljnKxuFIQBEEQBOFHRCIkCL2wqQ4cqpMca36mQ+k3VdIodVbSHGnIdCiCIAg9ihsxPBZvpsMQhGHNY/GK9VxpIBIhQdgKi2LFY8kmy5Kd6VD6TJEUSp2VtMdaKXSM/Ol9giCMXk7NhUvzZDoMQRjWXFoWbnHDIOVEIiQIfaDJGjnWAlzq8D9Zy8iUOCsJJgLk2QozHY4gCMJWKZKCIkr7C0K3NNkySko3DT8iERKEPlJllQJHCV5LDvIwXXPjUJ0UOyuI6VGyrbmZDkcQBKFP/HEf2da8TIchCMNSjjWftmhLpsMYlUQiJAj9oEgKTs1DqbNy2JWx9GheCu2lRPWwmG8vCMKIkmXJHjXtCgQh1SRJIsc28tYqjwTD60pOEEYAh+okpkepdI/Ha8nJdDiokkaZs6qzT5C4qyoIwkikiT5ngtAtVRJ/G+kiEiFBGACPxduZdGRb8zI2t92uOCh1VhJOhESfIEEQRjSLYsWuODIdhiAMKy7VgyyJy/V0EVdOgjAIqqzhUF1kWXJoj7bQHhuaObw2xY7XkotNdeCLtZFrKxiS/QqCIKRL3IgP2/WXgpApsiQTM6JYFVumQxmVRIopCIPkUJ1osoZb81DuGotTdadtXzIyRfZSSpyVJMw4mqyJJEgQhFEhGPeL45kgbEZCIsdWQDAeyHQoo5YYERKEFLGpySkdhY5SEkacxvB6EkaChBkf1HYlJDTZiktzk23NIxj3o0iKWAskCMKokm8vynQIgjCsSJKMIikUiX6AaSMSIUFIMUVS6Ii3UmgvRZFV2qLNGKYOQDAe6FNi5NI8KBumiLi15Hok3YgjSzJuS1Za4xcEQciUhJHApXoIJHyZDkUQMs6teUgYcSyKNdOhjFoiERKENNi8zKVFTh7AZEkmx5pPKBHs9bWqpKLKGhE9DEA4ESTHli8qKgmCMOqpsorH4hWJkCCQbIshkqD0SusaoRtuuIH58+fjcDjwer3dPkeSpC2+7rnnnnSGJQhDymPx4rF4cWkeVFnr/L6nL4fmwqJYO78XvQMEIXXEeWn4U2UNRE8hYRsnIYtqsEMgre9wLBbj6KOPZuedd+af//xnj8/717/+xQEHHND5fVaWmPojCIIgpJ44Lw1/pmng0bLwxdszHYogZEyWJZuYHkOTLZkOZVRLayJ0zTXXAPDggw/2+jyv10tRkVgkKQiCIKSXOC8NfzEjJvqmCNs8RVKIGRGcuDIdyqg2LI40F1xwAXl5ecydO5d77rkHwzB6fG40GsXn83X5EgRBEIRU6s95CcS5KZUCcR/Z1nyk4XGJIghDTpFUsqw5ojrsEMj45MPrrruOffbZB7vdzltvvcWvfvUrmpubueqqq7p9/o033th5R08QBEEQUq2/5yUQ56ZUKnFWoBsJFEkhYfaegArCaKRKavJvQBENhtOt37dbrr766m4Xkm7+tWDBgj5v76qrrmLnnXdm5syZ/OpXv+Laa6/lpptu6vH5V1xxBR0dHZ1fNTU1/f0VBEEQhFEk0+clEOemVIsbcdEqQNhmuS1ZxI1YpsPYJvR7ROiCCy7gmGOO6fU5VVVVA42HnXbaCZ/PR0NDA4WFhVv83Gq1YrWKUoKCIAhCUqbPSyDOTalmU+0oskJbtDnToQjCkJKQ8FiyO3sJCunV70QoLy+PvLz0zVn88ssvsdlsPZY1FQRBEITNifPS6KQbCbyWHNpjrZkORRCGTI41n0gijFMTRRKGQlrXCFVXV9Pa2kp1dTW6rrN48WIAxo8fj8vl4sUXX6S+vp6dd94Zu93OO++8w5VXXslZZ50l7qwJgiAIKSfOSyOHTXUQ0kOZDkMQhpQiqyIJGkJpTYR+//vf89BDD3V+P2vWLADeeecd9txzTzRN4+9//zuXXnophmEwduxYrr32Ws4///x0hiUIgiBso8R5aWTxaFm0R5vRTT3ToQhC2qmShkt1ZzqMbYpkmqaZ6SAGw+fzkZWVRUdHBx6PJ9PhCIIgbDPE8bdn4r1JjYgepi3aTCAuypELo1+WJQen6hYjQoPUn+OvKNIvCIIgCMKwZFPs5NlEY1th25BnKxRJ0BATiZAgCIIgCMOWhCSmCwmjnkfLRjcTmQ5jmyMSIUEQBEEQhi1VVnFpYnqhMLq5NA+abMl0GNsckQgJgiAIgjCsaYoVCSnTYQhCWkjIaLKW6TC2SSIREgRBEARhWJMApyamxwmjk8eSRUJMi8sIkQgJgiAIgjCs+eM+cqzpa5orCJkiIeG15OGPdWQ6lG2SSIQEQRAEQRjW8myFaLIViyya2gqji01xIEkShY6STIeyTRKJkCAIgiAIw15rtEmU0hZGnTx7Ia2RpkyHsc0SiZAgCIIgCMNenq0Qm2rHqtgyHYogpIRdcaJJmhgNyiCRCAmCIAiCMCL4Yx24NW+mwxCElPBYvCiymukwtmni3RcEQRAEYUTwWnNIGAkiiRCBhC/T4QjCgHm0bByqM9NhbPPEiJAgCIIgCCOGKqvk2QszHYYgDEqevRBV9A7KOJEICYIgCIIw4ogpcsJI5bXkkjDimQ5DQCRCgiAIgiCMMJpswa1lZToMQRgQt5Ylin4MEyIREgRBEARhxFFkhTybmCInjCyF9lIMjEyHIWwgEiFBEARBEEYcm2In25qHhJTpUARhqwzDQJFU3JpHFEkYRkTVOEEQBEEQRqRg3E+urZDmSH2mQxGELlYuX8XaldXE43Hmzp9DTl4OebZC/HEfHos30+EJG4hESBAEQRCEEcmpudH0GK00iulGwrBx09W3seDjBaxZWU15VRn/d8HvueTKC7ni4quwW+0YhoEsi0lZw4H4VxAEQRAEYcSK6EFKnBWZDkMQAFjwySIeve8//OaaX/HyJ//lqj9dTnaul+svv5Hddt+N9evXiyRoGBH/EoIgCIIgjFgeSzYWxYZFtmY6FEHg5Wdf5egTf8YOO88mryCPmXO355SzTuakk0/CptnYf//9WblyZabDFDYQiZAgCIIgCCNae7SFIkcZsqRkOhRhG2WaJgCapvHdV0uIRWMAqJLKmqXVhGIB7rjjDkzT5OOPP85kqMJmxBohQRAEQRBGtFxbAR3RVkocFdQG12BiZjokYRsjScnqhbN3nMlnH3zOc0+8QNWYKuJtBo88/AjffvstU6ZMYfLkyTz33HOceOKJGY5YAJEICYIgCIIwCmRZc4jpUeyqg1AimOlwhG3UHj/ZjY/f/YQH//4w7S0deDwe/vGPfzBlyhQAJk+ezKpVq4jH42ialuFoBZEICYIgCIIwKnTE2si3FbMuuBrd1DMdjrCNMU0Tu8POtbf9ge8WLaHAXoLkNNh5xq4ARCIRnnvuOY455hiRBA0TIhESBEEQBGFUyLcX0RZtocRZybrAGkxRUlsYQpIkYRgGmqLx090PwRdvJ89WCMDSpUu55pprME2Tq666KsORChuJYgmCIAiCIIwa2dZcTNPEpbkzHYqwjXJrWcSNWGcSZBgGiqIwZcoUnn766QxHJ2xOjAgJgiAIgjCq+OLt5NoKCCWC6GYi0+EIo1QwEGLtyrXk5GWj6walFSVYVRseNZvmSAPODcm4LMuMGzeOK664QkyJG2ZEIiQIgiAIwqhSaC+hNdJEqbOSdYHVGGKKnJBiCz5ZxG3X3cH33yzB6XRQNa6SHXbegb9cdxO+RDslrmST35dffpnS0lJmzpwpGqkOQ2n7F1mzZg2nn346Y8aMwW63M27cOP7whz8Qi8W6PK+6uppDDjkEp9NJXl4eF1100RbPEQRBEITBEuelbUuOLZ+IHqbEWYGElOlwhFHml6f/hqnbTeaxV//N9Xdcw/ZztuODNz5ijz32ZOmCFUiSRGNjI7feeiunn3467e3tmQ5Z6EbaRoSWLl2KYRjce++9jB8/nm+//ZYzzzyTYDDIzTffDICu6xx00EHk5+fz4Ycf0tLSwsknn4xpmtx5553pCk0QBEHYBonz0rYny5JNIO6jyFFGXagm0+EIo8Rbr7yD1+vhl7+7CIfTwZTpkzls3yN4++23efqxZ7nsssu44YYb2HvvvTnnnHOwWCx4vd5Mhy10QzI3tsIdAjfddBN33303q1atAuDVV1/l4IMPpqamhpKSEgAef/xxTjnlFBobG/F4PFtsIxqNEo1GO7/v6OigoqKCmpqabp8vCIIgpIfP56O8vJz29naysrIyHc6ApOK8BOLcNNyFE0FCiSDt0ZZMhyKMAgs/XcSFJ1/KXQ/fzqx5M8mxFWKRNZyamwULFnDVVVdRWFjIQw89lOlQt0n9OTcN6Rqhjo4OcnJyOr//5JNPmD59eufJBmD//fcnGo2ycOFC9tprry22ceONN3LNNdds8Xh5eXl6ghYEQRB65ff7R2wilIrzEohzkyBsi04/6pxefz5Sj4ujRV/OTUOWCK1cuZI777yTW265pfOx+vp6CgsLuzwvOzsbi8VCfX19t9u54ooruPTSSzu/NwyD1tZWcnNzkaTMzgHemIGKO4BbEu9N98T70jPx3nRvOL0vpmni9/u7JA0jSarOSyDOTSOVeG+6J96X7on3pWfD6b3pz7mp34nQ1Vdf3e1dr8198cUX7LDDDp3fr1+/ngMOOICjjz6aM844o8tzuztBmKbZ44nDarVitVq7PDbc5l16PJ6MfwiGK/HedE+8Lz0T7033hsv7MhzueGb6vATi3DTSifeme+J9+f/27j2sqjLfA/h3cdtsMFBE2CCJpOYlUxIOBo6iERih1XGcsjTRURMvGUfLUZtEHWdSM2eOt8wZg5pUfPLSOEWaeSE9YQcVL2lap8Qb4iVSkBS5/M4ftpfsG7BR9kbW9/M8PLre9a73/a333ZuXH2vthXUcF9say9jUdW2yOxGaOHEihgwZUmOdtm3bqv8vKChAv379EB0djZUrV5rUMxgM+Prrr03Kfv75Z5SXl1v8Ro6IiMgarktERFQfdidC/v7+8Pf3r1Pdc+fOoV+/foiIiEB6errF89Ojo6Px5z//GefPn0dQUBAA4PPPP4dOp0NERIS9oRERkQZxXSIiovposM8IFRQUoG/fvmjTpg0WLlyIS5cuqfsMBgMAICEhAV26dMGLL76It956C0VFRXj11VcxZsyYRnFZzV46nQ5paWkWt0cQx8YWjottHBvrOC71p8V1CeBrpiYcG+s4LtZxXGy7V8emwR6fnZGRgZEjR1rdV73L06dPY/z48dixYwf0ej1eeOEFLFy48J4bSCIiaty4LhERUXUO/TtCREREREREjYFL7VWIiIiIiIiaFiZCRERERESkOUyEiIiIiIhIc5gIERERERGR5jARusvKysoQHh4ORVFw8OBBk32nT5/GwIED4e3tDX9/f0yaNAk3b950TqAOkp+fj1GjRiEsLAx6vR7t2rVDWlqaxXlrcWwAYPny5QgLC4OnpyciIiKwe/duZ4fkUG+++Sb+4z/+A/fddx8CAgLwzDPP4MSJEyZ1RASzZs1CcHAw9Ho9+vbti6NHjzopYud48803oSgKUlNT1TKOC9mDa9NtXJdqpvV1CeDaVFdNYW1iInSXTZ06FcHBwRbllZWVSEpKQmlpKfbs2YPMzExs2LABU6ZMcUKUjnP8+HFUVVXh3XffxdGjR/HXv/4VK1aswIwZM9Q6Wh2bdevWITU1Fa+//jry8vLQu3dvJCYm4vTp084OzWGys7MxYcIE7N27F9u2bUNFRQUSEhJQWlqq1lmwYAEWLVqEpUuXIjc3FwaDAfHx8SgpKXFi5I6Tm5uLlStXolu3biblWh8Xsg/Xptu4LtnGdekWrk21azJrk9Bdk5WVJZ06dZKjR48KAMnLyzPZ5+LiIufOnVPL1q5dKzqdTq5eveqEaJ1nwYIFEhYWpm5rdWyioqIkJSXFpKxTp04ybdo0J0XkfBcvXhQAkp2dLSIiVVVVYjAYZN68eWqdGzduiK+vr6xYscJZYTpMSUmJdOjQQbZt2yaxsbHyyiuviAjHhezDtal2XJdu4bpkHdcmU01pbeIVobvkwoULGDNmDP75z3/Cy8vLYn9OTg66du1q8hu5/v37o6ysDPv373dkqE539epV+Pn5qdtaHJubN29i//79SEhIMClPSEjAV1995aSonO/q1asAoL4+Tp48icLCQpNx0ul0iI2N1cQ4TZgwAUlJSXj88cdNyrU+LlR3XJvqhusS16WacG0y1ZTWJjdnB9AUiAhGjBiBlJQUREZGIj8/36JOYWEhAgMDTcpatGgBDw8PFBYWOihS5/vhhx+wZMkSvP3222qZFsfm8uXLqKystDjvwMDAJnvOtRERTJ48Gb/5zW/QtWtXAFDHwto4nTp1yuExOlJmZiYOHDiA3Nxci31aHheqO65NdcN16RauS9ZxbTLV1NYmXhGqwaxZs6AoSo1f+/btw5IlS1BcXIzp06fX2J6iKBZlImK1vLGr69hUV1BQgCeeeAK/+93vMHr0aJN9TWls7GF+flo4Z1smTpyIw4cPY+3atRb7tDZOZ86cwSuvvIIPP/wQnp6eNutpbVzoFq5N1nFdujv4fcUU16bbmuLaxCtCNZg4cSKGDBlSY522bdti7ty52Lt3L3Q6ncm+yMhIDB06FO+//z4MBgO+/vprk/0///wzysvLLTLne0Fdx8aooKAA/fr1Q3R0NFauXGlSr6mNTV34+/vD1dXV4rdsFy9ebLLnXJOXX34ZmzdvxpdffomQkBC13GAwALj1W6agoCC1vKmP0/79+3Hx4kVERESoZZWVlfjyyy+xdOlS9elFWhsXuoVrk3Vcl+4M1yVLXJtMNcm1yRkfTGpqTp06JUeOHFG/tm7dKgBk/fr1cubMGRG5/cHLgoIC9bjMzMwm/8FLEZGzZ89Khw4dZMiQIVJRUWGxX6tjExUVJePGjTMp69y5s6Y+lFpVVSUTJkyQ4OBg+e6776zuNxgMMn/+fLWsrKysUX/w8m4oLi42+Z5y5MgRiYyMlGHDhsmRI0c0Oy5kH65NtnFdso7r0i1cm6xrimsTE6EGcPLkSYsn81RUVEjXrl0lLi5ODhw4IF988YWEhITIxIkTnReoA5w7d07at28vjz32mJw9e1bOnz+vfhlpdWwyMzPF3d1dVq1aJceOHZPU1FTx9vaW/Px8Z4fmMOPGjRNfX1/ZtWuXyWvjl19+UevMmzdPfH19ZePGjXLkyBF5/vnnJSgoSIqLi50YueNVfzKPCMeF7Me16RauS7ZxXbqFa1Pd3etrExOhBmBtsRG59du5pKQk0ev14ufnJxMnTpQbN244J0gHSU9PFwBWv6rT4tiIiCxbtkxCQ0PFw8NDevTooT6aUytsvTbS09PVOlVVVZKWliYGg0F0Op306dNHjhw54rygncR8seG4kL24Nt3CdalmWl+XRLg22eNeX5sUERFH3IJHRERERETUWPCpcUREREREpDlMhIiIiIiISHOYCBERERERkeYwESIiIiIiIs1hIkRERERERJrDRIiIiIiIiDSHiRAREREREWkOEyEiIiIiItIcJkJERERERKQ5TISIiIiIiEhzmAgREREREZHmMBEiIiIiIiLNYSJERERERESaw0SIiIiIiIg0h4kQERERERFpDhMhIiIiIiLSHCZCRERERESkOUyEiIiIiIhIc5gIERERERGR5jARIiIiIiIizWEiREREREREmsNEiIiIiIiINIeJEBERERERaQ4TISIiIiIi0hwmQkREREREpDlMhIiIiIiISHOYCBERERERkeYwESIiIiIiIs1hIkRERERERJrDRIiIiIiIiDSHiRAREREREWkOEyEiIiIiItIcJkJERERERKQ5TISIiIiIiEhzmAgREREREZHmMBEiIiIiIiLNYSJERERERESaw0SIiIiIiIg0x83ZARDVx40bN3Dz5k1nh0FERER3wMPDA56ens4OgzSKiRDdc27cuAG9byvg5jVnh0JERER3wGAw4OTJk0yGyCmYCNE95+bNm8DNa9A9Ohlw//Ubp8uvd3kqitm/v5a7/LoNs3JjPRcr5Rb77Di2pvoWsaHm+jbaV9R/AeXXOmpVKCZNKFaOMWnLxbyesWvrx1lsm5+ilf6Nx6hT4VJLm7b6dqklRpjXs9Hu7cFSy11q6avW2MzKXSzasTX+dWxHEbWei/H/vzblAjFrwzg+pvWqt1F928Vsv3mft4fL9HgXi/aM9WzXUWOtrU/z/TAWmJ27rW3TKbZazyIGsz5sxaDU0qfFfMCsXG0HZtvm/dx+XVvUNXufuZi/72rZNrZkra86bRuPr9b+nfZtLDfv06Lc2IxZ+e1t6/0p6p7bOxWzY27vttW32YvdvLyGvk2PNz0Xy3Kl2jG2Yq653Fqb9pxr7e0qNfRlo89qsRQXl6BD24dw8+ZNJkLkFEyE6N7lpoPiZmciZE+ycSfHmuxvgNhQ7YcSBTX8IG2+baP8jhOh2vu3nRzYGXNtiZBFPVvnbFluOxGqexvV/60tEbK7nZoSIRsJSe317m4iVL2/WhMhW33UNwmxdY411FN/WKtjn3ecCNUSe82JkPUfRuubCKmJjJW+6rR9B4mQrb6NrZv3aVFulowYy2/XM+2vevntIrO69UyELMrtToRslzs6EbK/XWuJkI3XqY1YiJyJD0sgIiIiIiLNYSJERERERESaw0SIiIiIiIg0h4kQERERERFpDhMhIiIiIiLSHCZCRERERESkOUyEiIiIiIhIc5gIERERERGR5jARIiIiIiIizWEiREREREREmsNEiIiIiIiINIeJEBERERERaQ4TISIiIiIi0hwmQkREREREpDlMhIiIiIiISHOYCBERERERkea4OTsAonqrKIMoyq3/u/ya0xu31X9/LXf5dRtm5erxVsot9tlxbE31LWJDzfVrbf92HTGeJhSTf6weA6jjd7tpxaQa1G3Tcott89BgWV8x69sYs802bfVtdpyY14N5PRvtupjGoygKXGrpq9bYzMpdLNqxMb42x8KsHUXUei7G///alAvErI1fy83qVW+j+raL2X7zPm8Pl+nxLhbtGevZrqPGWluf5vthLDA7d1vbFi85y3oWMZj1YSsGpZY+LeYDZuVqOzDbNu/n9uvaoq7Z+8zF/H1Xy7axJWt91WnbeHy19u+0b2O5eZ8W5cZmzMpvb1vvT1H33N6pmB1ze7etvs1e7OblNfRterzpuViWK9WOsRVzzeXW2rTnXGtvV6mhLxt9VouluLgERM7ERIjuOSKCZs2a4dreRc4OhYiIiO5As2bNICLODoM0iokQ3XMURcG1a9dw5swZ+Pj4ODsczSsuLsb999/P+WgkOB+NC+ejceF8NC7G+VDMrq4ROQoTIbpn+fj4cCFrRDgfjQvno3HhfDQunA8iAviwBCIiIiIi0iAmQkREREREpDlMhOieo9PpkJaWBp1O5+xQCJyPxobz0bhwPhoXzkfjwvkgZ1OEj+ogIiIiIiKN4RUhIiIiIiLSHCZCRERERESkOUyEiIiIiIhIc5gIERERERGR5jARIiIiIiIizWEiRI3S8uXLERYWBk9PT0RERGD37t011s/OzkZERAQ8PT3xwAMPYMWKFQ6KVBvsmY+NGzciPj4erVq1go+PD6Kjo7F161YHRtv02fv+MPqf//kfuLm5ITw8vGED1Bh756OsrAyvv/46QkNDodPp0K5dO7z33nsOirbps3c+Vq9eje7du8PLywtBQUEYOXIkfvrpJwdF27R9+eWXGDhwIIKDg6EoCj7++ONaj+F6To7ERIganXXr1iE1NRWvv/468vLy0Lt3byQmJuL06dNW6588eRJPPvkkevfujby8PMyYMQOTJk3Chg0bHBx502TvfHz55ZeIj49HVlYW9u/fj379+mHgwIHIy8tzcORNk73zYXT16lUMHz4ccXFxDopUG+ozH88++yy2b9+OVatW4cSJE1i7di06derkwKibLnvnY8+ePRg+fDhGjRqFo0eP4qOPPkJubi5Gjx7t4MibptLSUnTv3h1Lly6tU32u5+RwQtTIREVFSUpKiklZp06dZNq0aVbrT506VTp16mRSNnbsWHn00UcbLEYtsXc+rOnSpYvMnj37boemSfWdj+eee07++Mc/SlpamnTv3r0BI9QWe+fjs88+E19fX/npp58cEZ7m2Dsfb731ljzwwAMmZYsXL5aQkJAGi1GrAMimTZtqrMP1nByNV4SoUbl58yb279+PhIQEk/KEhAR89dVXVo/JycmxqN+/f3/s27cP5eXlDRarFtRnPsxVVVWhpKQEfn5+DRGiptR3PtLT0/HDDz8gLS2toUPUlPrMx+bNmxEZGYkFCxagdevWePDBB/Hqq6/i+vXrjgi5SavPfMTExODs2bPIysqCiODChQtYv349kpKSHBEymeF6To7m5uwAiKq7fPkyKisrERgYaFIeGBiIwsJCq8cUFhZarV9RUYHLly8jKCioweJt6uozH+befvttlJaW4tlnn22IEDWlPvPx/fffY9q0adi9ezfc3Pgt/26qz3z8+OOP2LNnDzw9PbFp0yZcvnwZ48ePR1FRET8ndIfqMx8xMTFYvXo1nnvuOdy4cQMVFRV46qmnsGTJEkeETGa4npOj8YoQNUqKophsi4hFWW31rZVT/dg7H0Zr167FrFmzsG7dOgQEBDRUeJpT1/morKzECy+8gNmzZ+PBBx90VHiaY8/7o6qqCoqiYPXq1YiKisKTTz6JRYsWISMjg1eF7hJ75uPYsWOYNGkSZs6cif3792PLli04efIkUlJSHBEqWcH1nByJvx6kRsXf3x+urq4Wv727ePGixW+JjAwGg9X6bm5uaNmyZYPFqgX1mQ+jdevWYdSoUfjoo4/w+OOPN2SYmmHvfJSUlGDfvn3Iy8vDxIkTAdz6QVxE4Obmhs8//xyPPfaYQ2Jviurz/ggKCkLr1q3h6+urlnXu3BkigrNnz6JDhw4NGnNTVp/5ePPNN9GrVy+89tprAIBu3brB29sbvXv3xty5c3kFwsG4npOj8YoQNSoeHh6IiIjAtm3bTMq3bduGmJgYq8dER0db1P/8888RGRkJd3f3BotVC+ozH8CtK0EjRozAmjVreK/9XWTvfPj4+ODIkSM4ePCg+pWSkoKOHTvi4MGD6Nmzp6NCb5Lq8/7o1asXCgoKcO3aNbXsu+++g4uLC0JCQho03qauPvPxyy+/wMXF9EchV1dXALevRJDjcD0nh3PSQxqIbMrMzBR3d3dZtWqVHDt2TFJTU8Xb21vy8/NFRGTatGny4osvqvV//PFH8fLykv/6r/+SY8eOyapVq8Td3V3Wr1/vrFNoUuydjzVr1oibm5ssW7ZMzp8/r35duXLFWafQpNg7H+b41Li7y975KCkpkZCQEBk8eLAcPXpUsrOzpUOHDjJ69GhnnUKTYu98pKeni5ubmyxfvlx++OEH2bNnj0RGRkpUVJSzTqFJKSkpkby8PMnLyxMAsmjRIsnLy5NTp06JCNdzcj4mQtQoLVu2TEJDQ8XDw0N69Ogh2dnZ6r7k5GSJjY01qb9r1y555JFHxMPDQ9q2bSvvvPOOgyNu2uyZj9jYWAFg8ZWcnOz4wJsoe98f1TERuvvsnY9vv/1WHn/8cdHr9RISEiKTJ0+WX375xcFRN132zsfixYulS5cuotfrJSgoSIYOHSpnz551cNRN086dO2tcD7iek7MpIrz2S0RERERE2sLPCBERERERkeYwESIiIiIiIs1hIkRERERERJrDRIiIiIiIiDSHiRAREREREWkOEyEiIiIiItIcJkJERERERKQ5TISIiIiIiEhzmAgREREREZHmMBEiIiIiIiLNYSJERERERESaw0SIiIiIiIg0h4kQERERERFpDhMhIiIiIiLSHCZCRERERESkOUyEiIiIiIhIc5gIERERERGR5jARIiIiIiIizWEiREREREREmsNEiIiIiIiINIeJEBERERERaQ4TISIiIiIi0hwmQkREREREpDlMhIjIoQ4fPoyRI0ciLCwMnp6eaNasGXr06IEFCxagqKjI2eHVaNasWVAUpV7HZmVlYdasWVb3tW3bFiNGjKh/YGRCURSTsd61axcURcGuXbscGsedvF4ag4yMDCiKgvz8fLVszZo1+Nvf/ma1vvm4N1Q/RER3i5uzAyAi7fj73/+O8ePHo2PHjnjttdfQpUsXlJeXY9++fVixYgVycnKwadMmZ4fZILKysrBs2TKrPyhu2rQJPj4+jg9KI3r06IGcnBx06dLF2aHcU5KSkpCTk4OgoCC1bM2aNfjmm2+QmppqUT8nJwchISEN3g8R0d3CRIiIHCInJwfjxo1DfHw8Pv74Y+h0OnVffHw8pkyZgi1btjgxQud55JFHnB1CgykvL4eiKHBzc95y4+Pjg0cffdRp/d+rWrVqhVatWtW5fn3H2N5+iIjuFt4aR0QO8Ze//AWKomDlypUmSZCRh4cHnnrqKXXb1m025reRGW+r2bFjB8aMGYOWLVvCx8cHw4cPR2lpKQoLC/Hss8+iefPmCAoKwquvvory8nL1eFu3TeXn50NRFGRkZNR4XuvWrUNCQgKCgoKg1+vRuXNnTJs2DaWlpWqdESNGYNmyZep5Gb+MtwJVP6dLly7Bw8MDb7zxhkVfx48fh6IoWLx4sVpWWFiIsWPHIiQkBB4eHggLC8Ps2bNRUVFRY9zGfgcMGIAtW7agR48e0Ov16NSpE9577z2Lut988w2efvpptGjRAp6enggPD8f7779vUsc4lv/85z8xZcoUtG7dGjqdDv/3f/+HESNGoFmzZjh+/Dj69+8Pb29vBAUFYd68eQCAvXv34je/+Q28vb3x4IMPWrR96dIljB8/Hl26dEGzZs0QEBCAxx57DLt37671PM3n2Di3tr6q++KLLxAXFwcfHx94eXmhV69e2L59u0Ufn376KcLDw6HT6RAWFoaFCxfWGpdRXl4eBgwYgICAAOh0OgQHByMpKQlnz55V64gIli9fjvDwcOj1erRo0QKDBw/Gjz/+aNJW37590bVrV+Tm5qJ3797w8vLCAw88gHnz5qGqqkqtV1VVhblz56Jjx47Q6/Vo3rw5unXrhv/+7/9W65jfsta3b198+umnOHXqlNXxqv6ePXToEBRFwapVqyzO97PPPoOiKNi8ebNd/YgIOnTogP79+1u0ee3aNfj6+mLChAl1HnciIl4RIqIGV1lZiR07diAiIgL3339/g/QxevRoDBo0CJmZmcjLy8OMGTNQUVGBEydOYNCgQXjppZfwxRdfYP78+QgODsbkyZPvSr/ff/89nnzySaSmpsLb2xvHjx/H/Pnz8b//+7/YsWMHAOCNN95AaWkp1q9fj5ycHPXY6rcCGbVq1QoDBgzA+++/j9mzZ8PF5fbvq9LT0+Hh4YGhQ4cCuJUERUVFwcXFBTNnzkS7du2Qk5ODuXPnIj8/H+np6bXGf+jQIUyZMgXTpk1DYGAg/vGPf2DUqFFo3749+vTpAwA4ceIEYmJiEBAQgMWLF6Nly5b48MMPMWLECFy4cAFTp041aXP69OmIjo7GihUr4OLigoCAAAC3rg4NGjQIKSkpeO2117BmzRpMnz4dxcXF2LBhA/7whz8gJCQES5YswYgRI9C1a1dEREQAgPr5sbS0NBgMBly7dg2bNm1C3759sX37dvTt27euU4agoCCTeQBuJVrDhg1D69at1bIPP/wQw4cPx9NPP433338f7u7uePfdd9G/f39s3boVcXFxAIDt27fj6aefRnR0NDIzM1FZWYkFCxbgwoULtcZSWlqK+Ph4hIWFYdmyZQgMDERhYSF27tyJkpIStd7YsWORkZGBSZMmYf78+SgqKsKcOXMQExODQ4cOITAwUK1bWFiIoUOHYsqUKUhLS8OmTZswffp0BAcHY/jw4QCABQsWYNasWfjjH/+IPn36oLy8HMePH8eVK1dsxrp8+XK89NJL+OGHH2q9hbV79+545JFHkJ6ejlGjRpnsy8jIQEBAAJ588km7+lEUBS+//DJSU1Px/fffo0OHDuq+Dz74AMXFxUyEiMg+QkTUwAoLCwWADBkypM7HAJC0tDSL8tDQUElOTla309PTBYC8/PLLJvWeeeYZASCLFi0yKQ8PD5cePXqo2zt37hQAsnPnTpN6J0+eFACSnp6ulqWlpUlN3zarqqqkvLxcsrOzBYAcOnRI3TdhwgSbx5qf0+bNmwWAfP7552pZRUWFBAcHy29/+1u1bOzYsdKsWTM5deqUSXsLFy4UAHL06FGbsRr79fT0NDn++vXr4ufnJ2PHjlXLhgwZIjqdTk6fPm1yfGJionh5ecmVK1dE5PZY9unTx6Kv5ORkASAbNmxQy8rLy6VVq1YCQA4cOKCW//TTT+Lq6iqTJ0+2GXtFRYWUl5dLXFyc/Od//qfJPvPXjq05NiotLZWoqCgJCgqS/Px8tczPz08GDhxoUreyslK6d+8uUVFRalnPnj0lODhYrl+/rpYVFxeLn59fja8XEZF9+/YJAPn4449t1snJyREA8vbbb5uUnzlzRvR6vUydOlUti42NFQDy9ddfm9Tt0qWL9O/fX90eMGCAhIeH1xib8b118uRJtSwpKUlCQ0Ot1jcf98WLFwsAOXHihFpWVFQkOp1OpkyZUq9+iouL5b777pNXXnnF4vz69etX4/kQEZnjrXFE1CQMGDDAZLtz584Abn0Q27z81KlTd63fH3/8ES+88AIMBgNcXV3h7u6O2NhYAMC3335brzYTExNhMBhMruhs3boVBQUF+P3vf6+WffLJJ+jXrx+Cg4NRUVGhfiUmJgIAsrOza+0rPDwcbdq0Ubc9PT3x4IMPmozRjh07EBcXZ3E1b8SIEfjll18srq789re/tdqXoigmVwHc3NzQvn17BAUFmXxOys/PDwEBARbztGLFCvTo0QOenp5wc3ODu7s7tm/fXu9xBm5drXzuuefw7bffIisrC6GhoQCAr776CkVFRUhOTjYZ26qqKjzxxBPIzc1FaWkpSktLkZubi0GDBsHT01Nt97777sPAgQNr7b99+/Zo0aIF/vCHP2DFihU4duyYRZ1PPvkEiqJg2LBhJrEYDAZ0797d4rZOg8GAqKgok7Ju3bqZjGdUVBQOHTqE8ePHY+vWrSguLrZn2Opk6NCh0Ol0JreXrl27FmVlZRg5cmS92rzvvvswcuRIZGRkqLef7tixA8eOHcPEiRPvRthEpCFMhIiowfn7+8PLywsnT55ssD78/PxMtj08PGyW37hx4670ee3aNfTu3Rtff/015s6di127diE3NxcbN24EAFy/fr1e7bq5ueHFF1/Epk2b1FuVMjIyEBQUZPL5iAsXLuDf//433N3dTb4eeughAMDly5dr7atly5YWZTqdziT2n376yeptfMHBwer+6qzVBQAvLy+TZAG4NR/mc2Qsrz5PixYtwrhx49CzZ09s2LABe/fuRW5uLp544ol6jzMApKSkYMuWLVi/fj3Cw8PVcuNtbYMHD7YY3/nz50NEUFRUhJ9//hlVVVUwGAwWbVsrM+fr64vs7GyEh4djxowZeOihhxAcHIy0tDT1s2wXLlyAiCAwMNAilr1791rMc13mdPr06Vi4cCH27t2LxMREtGzZEnFxcdi3b1+dxq0u/Pz88NRTT+GDDz5AZWUlgFuv46ioKPU1Wh8vv/wySkpKsHr1agDA0qVLERISgqeffvquxE1E2sHPCBFRg3N1dUVcXBw+++wznD17tk6P2NXpdCgrK7MoN/+h+04ZfzA376suScSOHTtQUFCAXbt2qVeBANT4OYu6GjlyJN566y1kZmbiueeew+bNm5GamgpXV1e1jr+/P7p164Y///nPVtswJip3qmXLljh//rxFeUFBgRpHdQ3xt3M+/PBD9O3bF++8845JefXP0dhr1qxZ+Mc//oH09HQkJCSY7DOe05IlS2w+DS0wMFB9Kl5hYaHFfmtl1jz88MPIzMyEiODw4cPIyMjAnDlzoNfrMW3aNPj7+0NRFOzevdvqg0asldXGzc0NkydPxuTJk3HlyhV88cUXmDFjBvr3748zZ87Ay8vL7jatGTlyJD766CNs27YNbdq0QW5ursUc2qt9+/ZITEzEsmXLkJiYiM2bN2P27Nkm7w0iorpgIkREDjF9+nRkZWVhzJgx+Ne//qVesTEqLy/Hli1b1NuJ2rZti8OHD5vU2bFjB65du3ZX42rbti2AW3/otfrVFuMTrWpi/IHf/AfRd99916Kusc7169eh1+trbbtz587o2bMn0tPTUVlZafV2ogEDBiArKwvt2rVDixYtam2zvuLi4rBp0yYUFBSYJFcffPABvLy8HPJoakVRLMb58OHDyMnJqdcDOFatWoXZs2djzpw5Vv+Yba9evdC8efNab7ny8PBAVFQUNm7ciLfeektNrEtKSvDvf//brpgURUH37t3x17/+FRkZGThw4ACAW/M8b948nDt3Ds8++6xdbdZF8+bNMXjwYJw7dw6pqanIz8+3+TeXzK8s1SYhIQGtW7dGeno62rRpA09PTzz//PO1HldbP6+88goSEhKQnJwMV1dXjBkzps4xEREZMREiIoeIjo7GO++8g/HjxyMiIgLjxo3DQw89hPLycuTl5WHlypXo2rWrmgi9+OKLeOONNzBz5kzExsbi2LFjWLp0KXx9fe9qXAaDAY8//jjefPNNtGjRAqGhodi+fbt6e1tNYmJi0KJFC6SkpCAtLQ3u7u5YvXo1Dh06ZFH34YcfBgDMnz8fiYmJcHV1Rbdu3SwSwup+//vfY+zYsSgoKEBMTAw6duxosn/OnDnYtm0bYmJiMGnSJHTs2BE3btxAfn4+srKysGLFinr9gUtzaWlp6ueRZs6cCT8/P6xevRqffvopFixYcNfnxJoBAwbgT3/6E9LS0hAbG4sTJ05gzpw5CAsLq9OjwqvLyclBSkoKevXqhfj4eOzdu9dk/6OPPopmzZphyZIlSE5ORlFREQYPHoyAgABcunQJhw4dwqVLl9QrG3/605/wxBNPqH8Pq7KyEvPnz4e3t7f6tDtbPvnkEyxfvhzPPPMMHnjgAYgINm7ciCtXriA+Ph7AraTspZdewsiRI7Fv3z706dMH3t7eOH/+PPbs2YOHH34Y48aNs2sMBg4ciK5duyIyMhKtWrXCqVOn8Le//Q2hoaEmT2Mz9/DDD2Pjxo145513EBERARcXF0RGRtqs7+rqiuHDh2PRokXw8fHBoEGD6vR6qa2f+Ph4dOnSBTt37sSwYcPUJxMSEdnFuc9qICKtOXjwoCQnJ0ubNm3Ew8NDvL295ZFHHpGZM2fKxYsX1XplZWUydepUuf/++0Wv10tsbKwcPHjQ5lPjcnNzTfoxPuHt0qVLJuXJycni7e1tUnb+/HkZPHiw+Pn5ia+vrwwbNkx9mldtT4376quvJDo6Wry8vKRVq1YyevRoOXDggMWxZWVlMnr0aGnVqpUoimLylCzzczK6evWq6PV6ASB///vfrY7npUuXZNKkSRIWFibu7u7i5+cnERER8vrrr8u1a9esHmMUGhoqSUlJFuWxsbESGxtrUnbkyBEZOHCg+Pr6ioeHh3Tv3t3k/ERuP53to48+smjT2rgb+3rooYdqja2srExeffVVad26tXh6ekqPHj3k448/luTkZIuni6GWp8YZXzO2vqrLzs6WpKQk8fPzE3d3d2ndurUkJSVZnOPmzZulW7du4uHhIW3atJF58+bV+pRBEZHjx4/L888/L+3atRO9Xi++vr4SFRUlGRkZFnXfe+896dmzp3h7e4ter5d27drJ8OHDZd++fbWOp/k4vf322xITEyP+/v5qzKNGjVKfmld9nKo/za2oqEgGDx4szZs3V1/Htsbd6LvvvlPHdtu2bRb77e3HaNasWQJA9u7da7GPiKguFBERRyVdRERERHdDZGQkFEVBbm6us0MhonsUb40jIiKie0JxcTG++eYbfPLJJ9i/f3+tf9iViKgmTISIiIjonnDgwAH069cPLVu2RFpaGp555hlnh0RE9zDeGkdERERERJrDP6hKRERERESaw0SIiIiIiIg0h4kQERERERFpDhMhIiIiIiLSHCZCRERERESkOUyEiIiIiIhIc5gIERERERGR5jARIiIiIiIizfl//b1K9L1Qs80AAAAASUVORK5CYII=",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig, axs = plt.subplots(1, 2, figsize=(10, 2))\n",
+ "levels = [0.95, 0.7, 0.5, 0.2]\n",
+ "\n",
+ "i = 0\n",
+ "for ax in axs:\n",
+ " Js = Q @ J[i, :].T\n",
+ " ##\n",
+ " # Fill cells with corresponding\n",
+ " # cumulative sensitivity values\n",
+ " Z = np.ones(grid_nz * grid_nx)\n",
+ "\n",
+ " N = np.size(Js)\n",
+ " CS_all = np.sum(abs(Js))\n",
+ " Js_sort_idx = (-abs(Js)).argsort()[:N]\n",
+ " Js_sort = abs(Js[Js_sort_idx])\n",
+ " for perc in levels:\n",
+ " CS = 0\n",
+ " for j in range(N):\n",
+ " CS = CS + abs(Js_sort[j]) / CS_all\n",
+ " if CS >= perc:\n",
+ " break\n",
+ " Z[Js_sort_idx[0: j + 1]] = perc\n",
+ "\n",
+ " Z = Z.reshape((grid_nz, grid_nx))\n",
+ "\n",
+ " ##\n",
+ " # Plot\n",
+ " ax.contourf(xgrid, zgrid, Z,\n",
+ " levels=np.sort(levels), cmap=\"GnBu_r\")\n",
+ " ccs = ax.contour(\n",
+ " xgrid, zgrid, Z,\n",
+ " levels=np.sort(levels),\n",
+ " colors=\"w\", linewidths=0.75\n",
+ " )\n",
+ " ax.clabel(ccs, ccs.levels,\n",
+ " inline=False,\n",
+ " fmt=\"%2.1f\", fontsize=10, colors=\"k\")\n",
+ "\n",
+ " ##\n",
+ " # Plot electrodes locations\n",
+ " xc = (C_locs[i][0, 0] - xmin) / (xmax - xmin)\n",
+ " ax.annotate(\n",
+ " \"\",\n",
+ " xy=(xc, 1),\n",
+ " xycoords=\"axes fraction\",\n",
+ " xytext=(xc, 1.1),\n",
+ " arrowprops=dict(arrowstyle=\"->\", color=\"r\"),\n",
+ " )\n",
+ " xc = (C_locs[i][1, 0] - xmin) / (xmax - xmin)\n",
+ " ax.annotate(\n",
+ " \"\",\n",
+ " xy=(xc, 1),\n",
+ " xycoords=\"axes fraction\",\n",
+ " xytext=(xc, 1.1),\n",
+ " arrowprops=dict(arrowstyle=\"->\", color=\"r\"),\n",
+ " )\n",
+ " xc = (P_locs[i][0, 0] - xmin) / (xmax - xmin)\n",
+ " ax.annotate(\n",
+ " \"\",\n",
+ " xy=(xc, 1),\n",
+ " xycoords=\"axes fraction\",\n",
+ " xytext=(xc, 1.075),\n",
+ " arrowprops=dict(arrowstyle=\"->\", color=\"b\"),\n",
+ " )\n",
+ " xc = (P_locs[i][1, 0] - xmin) / (xmax - xmin)\n",
+ " ax.annotate(\n",
+ " \"\",\n",
+ " xy=(xc, 1),\n",
+ " xycoords=\"axes fraction\",\n",
+ " xytext=(xc, 1.075),\n",
+ " arrowprops=dict(arrowstyle=\"->\", color=\"b\"),\n",
+ " )\n",
+ "\n",
+ " i = i + 1\n",
+ "\n",
+ "ax2 = fig.add_axes([0.25, -0.3, 0.5, 0.1])\n",
+ "cbar = mpl.colorbar.ColorbarBase(ax2,\n",
+ " orientation=\"horizontal\",\n",
+ " cmap=\"GnBu_r\")\n",
+ "cbar.set_label(\"Cumulative normalized sensitivity\",\n",
+ " rotation=0, labelpad=15, size=12)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Real data example: The Century Deposit DC resistivity inversion\n",
+ "\n",
+ "In this section we perform a sensitivity analysis for the solution obtained in the inversion of a real data set. We will build upon the tutorial that can be found at [transform2020](https://github.com/simpeg/transform-2020-simpeg) created by Lindsey Heagy. You are also welcome to watch her associated presentation on youtube: [Tutorial: Geophysical Inversion in SimPEG](https://www.youtube.com/watch?v=jZ7Sj9cnnso&t=3250s)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Initial setup\n",
+ "\n",
+ "We will perform the following steps:\n",
+ "- Read information about the survey from a data file on disk\n",
+ "- Create a python dictionary containing:\n",
+ " - a_locations: the positive source electrode locations (numpy array) \n",
+ " - b_locations: the negative source electrode locations (numpy array) \n",
+ " - m_locations: the receiver locations (list of numpy arrays)\n",
+ " - n_locations: the receiver locations (list of numpy arrays)\n",
+ " - observed_data: observed data (list of numpy arrays)\n",
+ " - standard_deviations: assigned standard deviations (list of numpy arrays)\n",
+ " - n_sources: number of sources (int)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "line = \"46800E\"\n",
+ "dc_data_file = f\"./century/{line}/{line[:-1]}POT.OBS\"\n",
+ "\n",
+ "\n",
+ "def read_dcip_data(filename, verbose=False):\n",
+ " \"\"\"Read in a .OBS file from the Century data set into a python dictionary.\n",
+ "\n",
+ " The format is the old UBC-GIF DCIP format.\n",
+ "\n",
+ " Parameters\n",
+ " ----------\n",
+ " filename : str\n",
+ " Path to the file to be parsed\n",
+ "\n",
+ " verbose: bool\n",
+ " Print some things?\n",
+ "\n",
+ "\n",
+ " Returns\n",
+ " -------\n",
+ " dict\n",
+ " A dictionary with the locations of\n",
+ " - a_locations: the positive source electrode locations (numpy array)\n",
+ " - b_locations: the negative source electrode locations (numpy array)\n",
+ " - m_locations: the receiver locations (list of numpy arrays)\n",
+ " - n_locations: the receiver locations (list of numpy arrays)\n",
+ " - observed_data: observed data (list of numpy arrays)\n",
+ " - standard_deviations: assigned stds (list of numpy arrays)\n",
+ " - n_sources: number of sources (int)\n",
+ " \"\"\"\n",
+ " # read in the text file as a numpy array of\n",
+ " # strings (each row is an entry)\n",
+ " contents = np.genfromtxt(filename, delimiter=\" \\n\", dtype=\"U\")\n",
+ "\n",
+ " # the second line has the number of sources,\n",
+ " # current, and data type (voltages if 1)\n",
+ " n_sources = int(contents[1].split()[0])\n",
+ "\n",
+ " if verbose is True:\n",
+ " print(f\"number of sources: {n_sources}\")\n",
+ "\n",
+ " # initialize storage for the electrode\n",
+ " # locations and data\n",
+ " a_locations = np.zeros(n_sources)\n",
+ " b_locations = np.zeros(n_sources)\n",
+ " m_locations = []\n",
+ " n_locations = []\n",
+ " observed_data = []\n",
+ " standard_deviations = []\n",
+ "\n",
+ " # index to track where we have read in content\n",
+ " content_index = 1\n",
+ "\n",
+ " # loop over sources\n",
+ " for i in range(n_sources):\n",
+ " # start by reading in the source info\n",
+ " content_index = content_index + 1 # read the next line\n",
+ " a_location, b_location, nrx = contents[\n",
+ " content_index\n",
+ " ].split() # this is a string\n",
+ "\n",
+ " # convert the strings to a float for locations\n",
+ " # and an int for the number of receivers\n",
+ " a_locations[i] = float(a_location)\n",
+ " b_locations[i] = float(b_location)\n",
+ " nrx = int(nrx)\n",
+ "\n",
+ " # initialize space for receiver locations,\n",
+ " # observed data associated with this source\n",
+ " m_locations_i, n_locations_i = np.zeros(nrx), np.zeros(nrx)\n",
+ " observed_data_i, standard_deviations_i = np.zeros(nrx), np.zeros(nrx)\n",
+ "\n",
+ " # read in the receiver info\n",
+ " for j in range(nrx):\n",
+ " content_index = content_index + 1 # read the next line\n",
+ " (m_location,\n",
+ " n_location,\n",
+ " datum, std) = contents[content_index].split()\n",
+ "\n",
+ " # convert the locations and data to floats, and store them\n",
+ " m_locations_i[j] = float(m_location)\n",
+ " n_locations_i[j] = float(n_location)\n",
+ " observed_data_i[j] = float(datum)\n",
+ " standard_deviations_i[j] = float(std)\n",
+ "\n",
+ " # append the receiver info to the lists\n",
+ " m_locations.append(m_locations_i)\n",
+ " n_locations.append(n_locations_i)\n",
+ " observed_data.append(observed_data_i)\n",
+ " standard_deviations.append(standard_deviations_i)\n",
+ "\n",
+ " return {\n",
+ " \"a_locations\": a_locations,\n",
+ " \"b_locations\": b_locations,\n",
+ " \"m_locations\": m_locations,\n",
+ " \"n_locations\": n_locations,\n",
+ " \"observed_data\": observed_data,\n",
+ " \"standard_deviations\": standard_deviations,\n",
+ " \"n_sources\": n_sources,\n",
+ " }\n",
+ "\n",
+ "\n",
+ "dc_data_dict = read_dcip_data(dc_data_file)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Create survey\n",
+ "\n",
+ "Here we create a SimPEG Survey object representing the experiment layout."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# initialize an empty list for each\n",
+ "source_list = []\n",
+ "\n",
+ "for i in range(dc_data_dict[\"n_sources\"]):\n",
+ " # receiver electrode locations in 2D\n",
+ " m_locs = np.vstack(\n",
+ " [dc_data_dict[\"m_locations\"][i],\n",
+ " np.zeros_like(dc_data_dict[\"m_locations\"][i])]\n",
+ " ).T\n",
+ " n_locs = np.vstack(\n",
+ " [dc_data_dict[\"n_locations\"][i],\n",
+ " np.zeros_like(dc_data_dict[\"n_locations\"][i])]\n",
+ " ).T\n",
+ "\n",
+ " # construct the receiver object\n",
+ " receivers = dc.receivers.Dipole(locations_m=m_locs, locations_n=n_locs)\n",
+ "\n",
+ " # construct the source\n",
+ " source = dc.sources.Dipole(\n",
+ " location_a=np.r_[dc_data_dict[\"a_locations\"][i], 0.0],\n",
+ " location_b=np.r_[dc_data_dict[\"b_locations\"][i], 0.0],\n",
+ " receiver_list=[receivers],\n",
+ " )\n",
+ "\n",
+ " # append the new source to the source list\n",
+ " source_list.append(source)\n",
+ "\n",
+ "survey = dc.Survey(source_list=source_list)\n",
+ "\n",
+ "dc_data = Data(\n",
+ " survey=survey,\n",
+ " dobs=np.hstack(dc_data_dict[\"observed_data\"]),\n",
+ " standard_deviation=np.hstack(dc_data_dict[\"standard_deviations\"]),\n",
+ ")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Forward simulation components"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "***Mesh design***\n",
+ "\n",
+ "We will create a [discretize](https://discretize.simpeg.xyz/en/main) TensorMesh."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "min_electrode_spacing = np.min(\n",
+ " np.abs(survey.locations_a[:, 0] - survey.locations_b[:, 0])\n",
+ ")\n",
+ "n_cells_per_spacing = 4\n",
+ "\n",
+ "dx = min_electrode_spacing / n_cells_per_spacing\n",
+ "dz = min_electrode_spacing / n_cells_per_spacing\n",
+ "\n",
+ "electrode_locations = np.c_[\n",
+ " survey.locations_a,\n",
+ " survey.locations_b,\n",
+ " survey.locations_m,\n",
+ " survey.locations_n,\n",
+ "]\n",
+ "\n",
+ "unique_locations = np.unique(\n",
+ " np.reshape(electrode_locations, (4 * survey.nD, 2)), axis=0\n",
+ ")\n",
+ "\n",
+ "core_domain_x = np.r_[unique_locations[:, 0].min(),\n",
+ " unique_locations[:, 0].max()]\n",
+ "\n",
+ "# find the maximum spacing between source, receiver midpoints\n",
+ "mid_ab = (survey.locations_a + survey.locations_b) / 2\n",
+ "mid_mn = (survey.locations_m + survey.locations_n) / 2\n",
+ "separation_ab_mn = np.abs(mid_ab - mid_mn)\n",
+ "max_separation = separation_ab_mn.max()\n",
+ "\n",
+ "core_domain_z = np.r_[-max_separation / 3.0, 0.0]\n",
+ "\n",
+ "n_core_extra = 4\n",
+ "n_core_x = np.ceil(np.diff(core_domain_x) / dx) +\\\n",
+ " n_core_extra * 2 # on each side\n",
+ "n_core_z = np.ceil(np.diff(core_domain_z) / dz) +\\\n",
+ " n_core_extra # just below\n",
+ "\n",
+ "padding_factor = 1.3\n",
+ "n_pad_x = 10\n",
+ "n_pad_z = 10\n",
+ "\n",
+ "hx = [(dx, n_pad_x, -padding_factor),\n",
+ " (dx, n_core_x), (dx, n_pad_x, padding_factor)]\n",
+ "hz = [(dz, n_pad_z, -padding_factor), (dz, n_core_z)]\n",
+ "\n",
+ "mesh = TensorMesh([hx, hz])\n",
+ "\n",
+ "# origin of the mesh\n",
+ "mesh_hx = mesh.h[0]\n",
+ "mesh_hy = mesh.h[1]\n",
+ "mesh.x0 = np.r_[\n",
+ " -mesh_hx[: n_pad_x + n_core_extra].sum() +\n",
+ " core_domain_x.min(), -mesh_hy.sum()\n",
+ "]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "***SimPEG forward simulation objects creation***\n",
+ "\n",
+ "The SimPEG simulation object for this particular problem is an object of type [SimPEG.electromagnetics.static.resistivity.Simulation2DNodal](myst:SimPEG#SimPEG.electromagnetics.static.resistivity.Simulation2DNodal). We will also work with the natual logarithm of the conductivity."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# forward simulation\n",
+ "# Use Exponential Map: m = log(rho)\n",
+ "mapping = maps.ExpMap(mesh)\n",
+ "\n",
+ "# Generate 2.5D DC problem\n",
+ "simulation_dc = dc.Simulation2DNodal(\n",
+ " mesh, rhoMap=mapping, solver=Solver, survey=survey, storeJ=True\n",
+ ")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Inversion"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "***Inversion: Data misfit***"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "dmisfit = data_misfit.L2DataMisfit(data=dc_data, simulation=simulation_dc)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "***Inversion: Regularization***"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "mesh_hx = mesh.h[0]\n",
+ "reg = regularization.WeightedLeastSquares(\n",
+ " mesh,\n",
+ " alpha_s=1.0\n",
+ " / mesh_hx.min() ** 2, # we will talk about\n",
+ " # these choices in notebook 3 on inversion\n",
+ " alpha_x=1,\n",
+ " alpha_y=1, # since this is a 2D problem, the second dimension is \"y\"\n",
+ ")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "***Inversion: Final touches***"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "opt = optimization.InexactGaussNewton(maxIter=20, maxIterCG=20)\n",
+ "inv_prob = inverse_problem.BaseInvProblem(dmisfit, reg, opt)\n",
+ "\n",
+ "# directives\n",
+ "beta_est = directives.BetaEstimate_ByEig(beta0_ratio=1)\n",
+ "\n",
+ "# coolFac = 4\n",
+ "coolFac = 1\n",
+ "beta_schedule = directives.BetaSchedule(coolingFactor=coolFac,\n",
+ " coolingRate=2)\n",
+ "target = directives.TargetMisfit()\n",
+ "\n",
+ "inv = inversion.BaseInversion(inv_prob,\n",
+ " directiveList=[beta_est,\n",
+ " beta_schedule, target])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "***Inversion: (Finally) run the inversion***"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "metadata": {
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "SimPEG.InvProblem will set Regularization.reference_model to m0.\n",
+ "SimPEG.InvProblem will set Regularization.reference_model to m0.\n",
+ "SimPEG.InvProblem will set Regularization.reference_model to m0.\n",
+ "SimPEG.InvProblem will set Regularization.reference_model to m0.\n",
+ "SimPEG.InvProblem will set Regularization.reference_model to m0.\n",
+ "\n",
+ " SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n",
+ " ***Done using same Solver, and solver_opts as the Simulation2DNodal problem***\n",
+ " \n",
+ "model has any nan: 0\n",
+ "============================ Inexact Gauss Newton ============================\n",
+ " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n",
+ "-----------------------------------------------------------------------------\n",
+ "x0 has any nan: 0\n",
+ " 0 7.54e+00 9.17e+03 0.00e+00 9.17e+03 3.14e+03 0 \n",
+ " 1 7.54e+00 1.86e+03 4.92e+01 2.24e+03 4.76e+02 0 \n",
+ " 2 7.54e+00 6.81e+02 1.11e+02 1.51e+03 6.74e+01 0 Skip BFGS \n",
+ " 3 7.54e+00 5.80e+02 1.19e+02 1.48e+03 1.29e+01 0 Skip BFGS \n",
+ " 4 7.54e+00 5.49e+02 1.23e+02 1.48e+03 4.21e+00 0 Skip BFGS \n",
+ " 5 7.54e+00 5.47e+02 1.23e+02 1.48e+03 2.95e+00 0 \n",
+ " 6 7.54e+00 5.45e+02 1.24e+02 1.48e+03 2.64e+00 0 \n",
+ " 7 7.54e+00 5.45e+02 1.24e+02 1.48e+03 2.45e+00 0 \n",
+ " 8 7.54e+00 5.45e+02 1.24e+02 1.48e+03 2.22e+00 0 \n",
+ " 9 7.54e+00 5.44e+02 1.24e+02 1.48e+03 1.88e+00 0 \n",
+ " 10 7.54e+00 5.46e+02 1.24e+02 1.48e+03 1.60e+00 0 \n",
+ " 11 7.54e+00 5.44e+02 1.24e+02 1.48e+03 1.08e+00 0 \n",
+ " 12 7.54e+00 5.45e+02 1.24e+02 1.48e+03 8.76e-01 0 \n",
+ " 13 7.54e+00 5.44e+02 1.24e+02 1.48e+03 7.13e-01 0 \n",
+ " 14 7.54e+00 5.45e+02 1.24e+02 1.48e+03 6.15e-01 0 \n",
+ " 15 7.54e+00 5.44e+02 1.24e+02 1.48e+03 5.47e-01 0 \n",
+ " 16 7.54e+00 5.44e+02 1.24e+02 1.48e+03 5.31e-01 0 \n",
+ " 17 7.54e+00 5.44e+02 1.24e+02 1.48e+03 4.72e-02 1 \n",
+ "------------------------- STOP! -------------------------\n",
+ "1 : |fc-fOld| = 3.4446e-03 <= tolF*(1+|f0|) = 9.1722e+02\n",
+ "1 : |xc-x_last| = 1.4126e-02 <= tolX*(1+|x0|) = 3.0775e+01\n",
+ "1 : |proj(x-g)-x| = 4.7157e-02 <= tolG = 1.0000e-01\n",
+ "0 : |proj(x-g)-x| = 4.7157e-02 <= 1e3*eps = 1.0000e-02\n",
+ "0 : maxIter = 20 <= iter = 17\n",
+ "------------------------- DONE! -------------------------\n"
+ ]
+ }
+ ],
+ "source": [
+ "apparent_resistivity = dc_utils.apparent_resistivity_from_voltage(\n",
+ " dc_data.survey, dc_data.dobs\n",
+ ")\n",
+ "rho0 = np.median(apparent_resistivity)\n",
+ "m0 = np.ones(mesh.nC) * np.log(rho0)\n",
+ "# Run inversion\n",
+ "mopt = inv.run(m0)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "***Inversion: Show solution***"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def load_leapfrog_geologic_section(filename=\"./century/geologic_section.csv\"):\n",
+ " \"\"\"Load the geologic cross section.\"\"\"\n",
+ " fid = open(filename, \"r\")\n",
+ " lines = fid.readlines()\n",
+ " data = []\n",
+ " data_tmp = []\n",
+ " for line in lines[2:]:\n",
+ " line_data = line.split(\",\")[:3]\n",
+ " if \"End\" in line:\n",
+ " data.append(np.vstack(data_tmp)[:, [0, 2]])\n",
+ " data_tmp = []\n",
+ " else:\n",
+ " data_tmp.append(np.array(line_data, dtype=float))\n",
+ " return data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "geologic_section = load_leapfrog_geologic_section()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig, ax = plt.subplots(1, 1, figsize=(10, 5))\n",
+ "rho = mapping * mopt\n",
+ "norm = LogNorm(vmin=1e1, vmax=1e3)\n",
+ "\n",
+ "out = mesh.plot_image(\n",
+ " rho,\n",
+ " pcolor_opts={\"norm\": norm, \"cmap\": \"Spectral\"},\n",
+ " ax=ax,\n",
+ ")\n",
+ "\n",
+ "for data in geologic_section:\n",
+ " ax.plot(data[:, 0], data[:, 1], \"k--\", alpha=0.5)\n",
+ "\n",
+ "ax.set_xlim(core_domain_x)\n",
+ "ax.set_ylim((-400, 0))\n",
+ "cb = plt.colorbar(out[0], fraction=0.05,\n",
+ " orientation=\"horizontal\", ax=ax, pad=0.2)\n",
+ "cb.set_label(\"Resistivity ($\\\\Omega$m)\")\n",
+ "ax.set_xlabel(\"Easting (m)\")\n",
+ "ax.set_ylabel(\"Elevation (m)\")\n",
+ "ax.set_aspect(1.5) # some vertical exxageration\n",
+ "plt.tight_layout()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Sensitivity analysis\n",
+ "\n",
+ "The sensitivity matrix for the DC inverse problem just formulated is defined as\n",
+ "$$\n",
+ "J_{ij} = \\frac{\\partial d_i}{\\partial ln \\sigma_j}\n",
+ "$$\n",
+ "where $d_i$ correspond to the ith data functional and $\\sigma_j$ is the electrical conductivity in the jth cell of our mesh.\n",
+ "\n",
+ "SimPEG simulation classes offer a method called getJ which we will use to have access to the sensitivity matrix. With $J$ in our hands we can explore its content in a number of different ways as illustrated in the sections below."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "***Get the sensitivity matrix***\n",
+ "\n",
+ "The first step is to get a copy of the sensitivity matrix $J$, what we can acomplish by calling the method getJ()."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "simulation_dc._Jmatrix = None # Force computation of new sensitivity matrix\n",
+ "J = simulation_dc.getJ(mopt).copy()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "***Average sensitivity***\n",
+ "\n",
+ "There are many different ways in which we could look at the information contained in $J$. Let's use the **average sensitivity** $s_j$ as defined in {cite}`https://doi.org/10.1190/segam2016-13842655.1`,\n",
+ "$$\n",
+ "s_j = \\frac{1}{nV_j}\\sum_{i=1}^n\\left|J_{ij}\\right|.\n",
+ "$$\n",
+ "It will give us a global qualitative/semi-quantitative view on how the survey layout defined for this inversion problem is sampling the subsurface in the region of interest."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "##\n",
+ "# Define the average sensitivity sj\n",
+ "Vj = mesh.cell_volumes\n",
+ "n, m = J.shape\n",
+ "sj = np.log10(np.divide(np.sum(abs(J), axis=0), n * Vj))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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EAuFhKTAsA4pTQ/v3eJkmVHhgZzPsaIBdDaERza8fDiPTQvOMSw91Zx+dHvp/XRW8uBdWHIIv5sMgXSSLiIhIH6HLUhHpF4rTIcMJVc3wrx1w1ZgjrbFibXsdpDtgcEtAPWswnJUXGlU8PHJ4N3xbVDTDe4dDo5jX+wm3ngO47S3TWpSkhV6tMpMg1QEHmuG3O+GyQpjQ5p5xEZFY1QZgpwfSbDBK93WLSBwo6D4OleTgxN2lZZpIiSmvdOqipvmjDQEcp/y8OKOm1ZHe7fkFLKppfUr0/Kz2SwpNUdOyXNXRl8uM/WGeDqt7W1Mt0ppjzNAqP6tWQqsLjnh027bavmEWaa72/15VBE+sgI1B+MgFpwzvYLmAxTqtukkfZxfqDlmVBaDQIs3q7N2FM3sgCC+thJpmuHYCjBkEHe02y+3vYDuafLCzBtLToLglODYb4NMqID3UjXx4NozIhJFZUJBq/SPJCODmUfD3zbC7Gv7WALvTYU5JaOC1MKt91tOfbzd9Ru3E+gi1eJQnHo9zszouevrxccc6RqOJtT518TjrlvXGWlar75hYv7diZbVvOtErZv1BWNzyiMJRHZ4Au8DqWIrHsRuvHwmsyhqP6CEe64zHNlgtZ1XXrK7zrFgtZ3VNZrVcrGmDLNIAcizSYtw3Hos8m1zRY5ymEdGXa7SIjQ5bbGQFg6Osr3MnUQXdItJvFGbBeePgjc9Cr2HZkK/WUEsbKkIBd5oTRnRydPGO+AJQWhsKtHdUQ1l96JFhkwcdCboHp8A5w2BYOgxNB0f03+86lO6CGybB0h3w3j74sBz21cNVYyFLrVMiEqNhLRf9pQ2RY1aIiHQXBd0i0q+cPgJ2HoYtFfC3j+HrZ4BTZ7oOmSZ8UBp6f9rQo1qMOykQhGfWhwJufzAyLS8FBrUJhg0DPjc09vJC6D7zc4eHbif4x7ZQ0H2oSUG3iMRuSDI4DGgMwGEv5GrMCBHpZroUFZF+xTDg8inw2HtwqB7WlMKMkYkuVe+0owoO1Ifu255eZD2vacKhxlArdoMPzikJTbfboNEXCrgznKGu4iOzQt3G013Ep9s2MDYHvjEZdtTA6ONooRcRsdtCjzvc3RBq7VbQLSLdTUG3iPQ7KU74wlTYWx1q+ZaOtbZyn1wI7iTaBci1HthZFQq0dxyGupZ7OO02OKs49Jx0gItGQUoS5CT3bLfMrGQ4uU0Ld1UzvL4VLi6B9C52XReRgW1Ya9DdCCdb3ZsqIhIDBd0i0i+VDAq9pGNldbCjMtRd+/QOuny/vAU+2t9mQjDU/XxYy8BnAfPI87KLe8l98y9tD/1IsLcevjAKRup57SLSScNSgYOhlm4Rke4Wwx18ibFo0SJmzpxJSkoKWVlZHc5TWlrKJZdcQmpqKrm5udx+++14vZGjTX/66afMmjULt9tNUVERP/nJTzBNswe2QEQSxReAd7aC/3hG/+1napoh1QkTBkOWG5p9kem5KaFW66IMOGsY3DAZfjgTrp8EZxZDci/8yfbikZCfEur+/sfN8M6+ULd4EZFjKU4BA6j0QkOcbosRkYGrF142dczr9XLVVVcxY8YMnnjiiXbpgUCAiy66iLy8PN5//30OHz7MDTfcgGmaPProowDU1tZy/vnnM3v2bFavXs2WLVtYsGABqampfPe73+3pTRKRHmCa8KcPYXdl6DFW88YlukSJEwxCdTPkpMAJeTAqBzz+0GBov1kdGvTssnGQ4YKpBaFXOLjuAxehg9zwtfHwWimsrYCle6G0Dq4YBalJx15eRAauZDt8uQQK3JDaZ66ORaSviOm04vP5KC8vp7Gxkby8PHJy4n/zy/333w/AU0891WH64sWL2bhxI3v27KGwMPSg1ocffpgFCxawaNEiMjIyeOaZZ2hubuapp57C5XIxceJEtmzZwiOPPMIdd9yBoWdEiPQ7hgFnjAwF3St3wogsGJef6FLFn2mGWrP31cG+2tBrf11o+l2fC92XnWQPvf5dHgrG/f7QvdnQO1uyOyPJDpeOgGFp8Mpu2F4Dv10PN5wAgxR4i4iFUemJLoGI9Fed7l5eX1/Pb3/7W84++2wyMzMpKSlh/Pjx5OXlMXz4cG666SZWr14dz7JaWrFiBRMnTgwH3ABz587F4/GwZs2a8DyzZs3C5XJFzLN//3527doVdd0ej4fa2tqIl4j0HWPzYUbLgGovfgq1zYktT7y9twse+gB+vgL+th6Wl8Lu6lA3e7stFGC3avvYsNNjfGxYbzQ1L9TqneuGtCTI1GjEIiIikiCdasv42c9+xqJFiygpKeHSSy/lhz/8IUVFRbjdbiorK1m/fj3vvfce559/PqeffjqPPvooY8aMiXfZI5SXl5OfH9l8lZ2djdPppLy8PDxPSUlJxDyty5SXlzNiRMfDHD/44IPhlva2asgkiZQulbMRd9Q0F96oaVY8RL+adOGJmmYnthtc45FfAHvUNC/RhyF2xrjPvNRFT7Nb5JcRPb9j7c8UGqOnpTZFz9MiQDSssrQKLK0CkFSLtOgfb+ysui1bbV/0KtOhc0fC7jdg/0F4vgxuOA9sRweYsXahjnW5Yx2CUT5Dnx/Ka2BfVcurEq4/E7JaP7sgNFSBLQ0KMqEoB4qyQ6/c9MgRxreUQUUSuPJg+kyOjI7WlbLGo+t5N6wzH7hpUqgLvcMNBEJd7L0BSD56O+OxDfHqLWBV9+ORp9U6rcoS6xgKXTy246qn6308zrFgXdZYz8GxrtNKgo/DoAnv7YbSWrh6QuhxivHMr1vWGa/zQTyO+1jLGo992tPbYHVtZbVcrNdraRZpVqzyO8bgpB6rdIuBbT2u6NfdjfbocVM90bumNFrEZ1Zp1WRFTTtEbofTm/B1OP1onarGy5cvZ+nSpUyaNKnD9FNPPZUbb7yR3/zmNzzxxBO88847nQq677vvvg6D2bZWr17N9OnTO1PMDruHm6YZMf3oeVoHUbPqWn7XXXdxxx13hP+vra2luLi4U2USkd7BYYcrz4Tfvgy7K+CdT2H2lESXqvPKq2HNrlCAXV4Tujhsa1/VkaB70lAYkRcKuB3HuGj8YEvo7/QRHQSi/YArKfRqtWwbfLofrjoJCjW6uYi0YTNgbXnLrTm1MCI70SUSkf6iU0H33/72t06tzOVyceutt3Y684ULF3LNNddYznN0y3Q0BQUFrFq1KmJaVVUVPp8v3JpdUFAQbvVuVVFRAdCulbwtl8sV0SVdRPqmnAy4+FR4/gP4aCvMOBGS+8jznJd9BpvKjvyf6oKhbVqwh7YZWiMrtU2rt4XSQ1B6ONTl/PTR3V/m3sbrDwXcVU3wxEr48nQYocfKiUgbwzLh02YorVHQLSLdJ6FD5eTm5pKb23FTfVfNmDGDRYsWUVZWxpAhQ4DQ4Goul4tp06aF57n77rvxer04nc7wPIWFhZ0O7kWkb5s0AuqbYcLwvhNwA1x9OqzfG7oHe3guZLgju4nHYs2u0N+pwyDdTZ8Yofx4OB3w9Znwwiew9SD8bR18YyZkRu+9JiIDzLAM+PRAqIu5iEh36XLQ3dzczKOPPsrSpUupqKggGAxGpK9du7bbCtdWaWkplZWVlJaWEggEWLduHQCjR48mLS2NOXPmMH78eK677jp++tOfUllZyZ133slNN91ERkYGAPPnz+f+++9nwYIF3H333WzdupUHHniAe++9VyOXiwwgM05MdAnaq6wLDXSW7ga3s31AbRgwqZvvarnkJCjJDQXxA4XbCV88CZ5YAeV18JeP4cbT+tDzM0Ukroa13Hayp+U2HpsuD0WkG3T5OuPGG29kyZIlXHnllZx66qk9Fqzee++9PP300+H/TzrpJACWLl3K2Wefjd1u55VXXuHWW2/ljDPOwO12M3/+fB566KHwMpmZmSxZsoTbbruN6dOnk52dzR133BFxv7aIDCyflYZavk8Zm7gyVDfA/3sj9LxsCN2HnZ4M6Y7Q+wsmQ15G9+ZpmqF1n1TSvevtC5LscM3J8NvlsL8GXtkIl55w/D0HRKTvy0sNPTKx2Q8H6mGIHiMmIt2gy0H3K6+8wquvvsoZZ5wRj/JE9dRTT0V9RnerYcOG8fLLL1vOM2nSJN59991uLJmI9FW7D8Bf3g2NYl6YA0VZ3Z9HMBgK5qwCuqxU+MJp8NcVof/9AahqgKqW7t5PvAOXngzji2IrQ6MHyqphf3Xob1k1nD4KThsA93FHk5UCV06FP62Gj/fCKYUaWE1EQi3bxZmw9XDovm4F3SLSHbocdBcVFZGerjOQiPR9wwbD+GGwsRT+/j58Y0733+f9yW7412pIc0Na8lEvJ4wZEgq6xxfDfcWhgLu+GeqaoLYa6ppDA4CNyOtavrVN8Oq6UIBd08ET6fZXH/+29XWjcmHeiaF7uhVwi0irYRmhgNsT62PvRESO0uWg++GHH+YHP/gBv/nNbxg+fHg8yiQi0iMMAy49HfZXQlU9/OtDuPKM7u1mXN8c6jZe0xB6RTDhy2dFjjTusLcZfdziOZumGQqsW1uuy6qhMBvObrlfPTkJNpdB65PFBqXBkKzIl8BpJS1v+vkgciLSeacPhTOG6X5uEek+XQ66p0+fTnNzMyNHjiQlJYWkpMgHu1ZWVnZb4URE4i3ZGXp+9+8Xw4ZSGFkA07qx2/XpY2HSsFDwHfFqgvpGyLYIrI8WDMLSz2B/VSjIbvRGpjd5jwTdTkeoS3p2aijAdvXDZ3B3t5omeH8nzDsh9Bg1ERmYkuyJLoGI9DddDrq/9KUvsW/fPh544AHy8/M16reI9HlDc+GcKfDmGnhtDRTnwuCs41vnv1aHuoqfcUJoXZkdPTe7i10XbTZYtzvU5RxCrTCDM460XBcd9UzZgThIWqyCQXj6I6hsDO3XC3rhCPci0vM0grmIdIcuB93Lly9nxYoVTJkyJR7l6VPqScNBR1fS0TWSEjUtnbqoaQGi/+zqpjFqWhPRH0DrxBs1rTfl5yH6TbYOi6jFbpHmtVin1WfkwhNTfmC9bxpTOrjptjXPlNjydHqiL5eaHIyahtW9rdFX2XdE6UZ8RgnsDMD2PbDFBoPHdG45oMPg+bN3oLEZTi8Got2PfawuzR2kn3VeKPgekgX52eDozmddWVVhq7LGo2t2D99LafPD3FR49l1YVQ+FDpgyoiXRavus9n8inkMWjxa63rSNVtsXjzoTa92OdblYj8Fj6eL5q1PL9aZ9E4d6v2EfvLUxNJ7GJVOPSuzpeh/rMXg8+6U3bWOs2xHrNsTjnO+Kw3JWIUhybPn5LfJrTLUe9KbRHv06N2CRaazX5HVEH2OszuL+vCaLdVaRFTWtOkpas0V801aXq+MJJ5xAU1P0AEFEpC8yDPj8ebD3AJww8vjW1dAUCrgNA3Kzjr9sh6qPrOfUCS0TdQ9ytxs3FGZNhHfWh+7vH5wJQ3ISXSoRSQSHDSobdKuJiHSPLgfd//3f/813v/tdFi1axKRJk9rd052R0c0PkxUR6SFpqccfcAMcqgr9zUyDpC7cS/3BOmhoDnV1DgQh6AOvDz7dDtNOgIvP1LOk4+3sSaGB9bbuh7+8B1+fBym6v1NkwClu+cHtYF3osYspVi2OIiLH0OWge968eQCce+65EdNN08QwDAIBPV9BRPq+ugZ4ZRnMPROyu/g4qYMtQXdetvV8R1u9Earb3mXS5i4Au10Bd08wDLhiBvxuMVTWwfPL4dozQl36RWTgSHFBbhocqoc9lTBuSKJLJCJ9WZeD7qVLl8ajHCIivcory2DTzlDwfeMXunZLWWvQndsSdL+7BtwuyEqHzPRQC7jLCWWHoGDQkWD65BOg2Rvqzmizgb1lAJ9kF0w9+h5ziRu3C64+E/5vSajnQZMXUq3ujxORfmnYoFDQXaqgW0SOU5eD7lmzZsWjHCIivcoFn4Pd+2FfBby9Es4/rf08pglNzdBQD+mpoeAYYHdZ6G9eNvj98PaH7ZdNdoGnGc47Fc6YGpr2uZOPmkn3bSdMfjZcPxsKskFPWxMZmIYNgrW7Yc/hRJdERPq6TgXdpaWlDBs2rNMr3bdvH0VFRTEXSkQk0TLT4bJz4blX4YOPIdkBlTWhZ2s3NB35GwgCQfjiHBg/KrTsjMnwj7dDrdiBIJw2KdRtvKY+9GpqhmYPYEJlbSh4V9fx3qe4ddT5lh8/fH5ISsSI5CKSEMNa7uveVx16BKRD4zuISIw6dflwyimncOmll3LTTTdx6qmndjhPTU0Nf/3rX/nFL37BN77xDb75zW92a0FFRHraCSPh1Enw4afw4tvgTAp1Cz+aOzl0QdZq2BC47GwYkhcKpi84M3J+jzcUfNuC3TO6ucSXacK7G+HT3fC18yDZ+qkpItJPZKdCSW7o3m6vX0G3iMSuU0H3Z599xgMPPMC8efNISkpi+vTpFBYWkpycTFVVFRs3bmTDhg1Mnz6dn/70p1xwwQXxLreISI+YcwaUlkFTIxjAxbMgIxVS3ZCWEvrrOKqVOjsjNAL5w3+A4gK4em5kussJg3NQ9/E+otkLa3dATQP8YxVco1HkRQYEw4AFZx57PhGRY+nUeKw5OTk89NBD7N+/n8cee4yxY8dy6NAhtm7dCsC1117LmjVr+OCDDxRwi0i/4nDAlXND3c2L8mFcCYwtCb3PTA+ld6T8UKgLem19T5ZW4sHtgi/ODLVybd4XavUWERER6awu3Z2WnJzMFVdcwRVXXBGv8vQp9aRjJ7XddL/FOMcpNMWUV8BinR6iPzzSbtGUZlWWns7PS/T+mrHm5yD64+s8MebnwmNRFuvH5Vnl2UhK1DSnRZ4uvNHL44penqa8xuj5BSzW6bfY34Fg1DS/vW88bynaNqQPg2syoCAfnM7ONVDv2w3BbBg8Dszi2MpjRP/orcXagm61XKxPg+wrrfnHKGfRGLgoE/65FJaVQeFJMGZ4zxStnXjcVx7rOuPR3bY33Tff08dEPPI7njxjPX7j8fRYq7LEuc4EAlB2GIryjrOXS08fL8ezX+KxT2Pd/nhtYzSx1jWr7YtxG0yL58M3pka/tgpEaxEAvPbo16NWMUyTxbUqWF/LWl3nx5pnHek9mlZNVofTPRbX6W31jSthEZEEG1YcCrhbmab1/OUVob8Fg+NXJulZJ50I0yeEPvvnl4QG1hOR/s004eG/wP+9AgerE10aEemrFHSLiHSBacIHK+Hv/7AOvA+0Bt35PVMu6RkXnAlD80P3eT/3WuiRcCLSfxkGFLSMYl56ILFlEZG+S0G3iEgXHK6EZe/CZ5th5eqOA++GBqirC73Pz2ufLn2X3Q5Xz4OsdJgxJfo9/SLSfwxr+fG0tCKx5RCRvkuXCyIiXZA7CM47B95YAkvegjUfw4QT4MQTIH9wqFWktZU7OxtcFvdjSd+UngoLv6SAW2SgKG65TUgt3SISK10yiIh00anToKYaPvoYKivhveWhV24ufP0rocB7WDHkZCe6pBIvbQPuxiaoroNC3b8v0i8NbRlArboeauohMy3RJRKRviamoHvLli0sW7aMiooKgsHI0X7vvffebimYiEhvZRgw5zyYdRZs2QYbP4PtOyE1JRSMjSgJvdauC7V6Dz7eEW+l16qsgT+8BF4ffOOq0GPkRKR/cTmhcBDsOwQ7y2DqmESXqHPqGuCNFXDBGZDqTnRpRAa2Lgfdv/vd77jlllvIzc2loKAAo82VpGEYCrpFZMBwuWDShNDL44H6hiNpDQ3wyutAAHJzQl3QJ5wAebkKwPuT9JTQc7yr6+Avr8ONn1e3c5H+aGRhKOje0UeC7kAA/roE9hwAjw+uvSDRJRIZ2Lp8afBf//VfLFq0iB/84AfxKI+ISJ/kckXev93sgbGjYfs2OFQJ7ywPvfIGwfhxMGWiup/3B0lJoYHVHv877D8Ir7wLl87WDysi/c34EnA6YMzQRJekc95YFQq4k11wwcxEl0ZEuhx0V1VVcdVVV8WjLCIi/cagHLj6SvDVw5btsGETbNsJBw+Hgu/MjCNBdzAINj1Los/KyoArz4c/vgwfb4Ki/NDzvEWk/xgyKPTqC/69FT7cANjgitmQk5noEolIly/zrrrqKhYvXhyPsoiI9DvJyTB5AnzpC/C9hfD5i2DcaDihTffED9fA//s/WPY+HDyUuLJK7EYWw3mnh96/9h7sKU9seURkYCo/DP96L/R+1jQYOzyx5RGRkC63dI8ePZp77rmHlStXMmnSJJKSkiLSb7/99m4rXG/XiBs7Ke2mB7B3e15W63TiiZrmwmuxzugff6z5OQhETfMS/dlJKTRGTfNYLOeyKIvdoix+i+2zKmes+xqgsYO60spq+50W67Xjj6k8jUQfUcVlt9gOi6pttb97+piwYlXOWJfryjrzCmHW56AaqGv5/Fbt97K3MciutfDKWsgdbDB2vJ3xEyA3r+v9lC3LGohx+/3R65ojEIya1lfYo29ep51aDKWB0DPc39gCN5wSn27mgTjcM+63x9bVIhCHG9gD9u4/X1jpTceEVT08njpqWG2i1XpjzbMbjqfeqNkD23ZBUzOcMiWGFcRjvIc262xqgr8sBn8ajBkJZ38eiPEcZMbhMIz13BXrclbntXh8b1nlZ3Wu9Nqd0dcZ4/Wql+5fp8dinQBNFte5VsvGmqdVftVkRU2rI/qIp1bX6tHW6aU56jJtdbkaP/7446SlpfHOO+/wzjvvRKQZhjGggm4Rke5w+ZeS2L45yOYNAXZtD3KowuRQhZ+Vy4IUFNr48tcc2Gy6Sbi3Mwy49CJIS4Ozz9J93SL9zaFK+Ptrofukp03qfbcFNTaFYuzsLLjiAp2DRHqTLgfdO3fujEc5REQGrORkgwlT7EyYYqe52WTbpiBbNgbYs90kLZ2IgHvdRwGKS2wMytXVVG/kcsEFcxJdChGJh8L80OPDmj1QfjD0f28yKAe+/mVoaAS3HhEm0qscV0cX0zQBIh4bJiIisUtONpg41c7EqXZ8TX48bXotVVeZLH451G8zL9/GuAk2TphgI2eQzsG9kWnCR2vB6YQpkxJdGhE5XjYblAyFzTtgR2nvCbo9niNPz0hODr1EpHeJqWPMH/7wByZNmoTb7cbtdjN58mT++Mc/dnfZREQGNLfbICv7SEDt9ZqMHGPDZjM4eCDI+2/7+b9HvTz5mI/l7waorTETWFo52uat8Nri0PPayzSwmki/MKI49Hfn3sSWo9XhSvjF/8GHH4d+6BOR3qnLLd2PPPII99xzDwsXLuSMM87ANE0++OADbr75Zg4dOsR3vvOdeJRTRGTAG5xv48prbTQ1mWzdFGTzhiC7d5gcPBDk4IEgOYMcZGSGBkgJBk3dB55g48bAmNGwdRv89QW4aQGkRB+jRUT6gJEtQXfpfvD7IQ5jCXaa1wt/eSl0L/f6TTB9iu7jFumtunyqePTRR3nssce4/vrrw9Muu+wyJkyYwH333aegW0Qkztxug8kn2Zl8kj0cgG/bFGTkmCOdl1a8F2TLZyYnTDAYN15d0BPBMODzl8DvnoKqKnjxZfjSVbooFunL8gZBWirUN8De8lB380QwTXhpCVQcCpXnqkt638BuInJElw/PsrIyZs6c2W76zJkzKSsr65ZCHW3Xrl189atfZcSIEbjdbkaNGsWPf/xjvN7IRxuVlpZyySWXkJqaSm5uLrfffnu7eT799FNmzZqF2+2mqKiIn/zkJ+F700VE+prWAPyKLyXhdB6J5rZ8ZnKg3OSdt4I8/qifp37rZ8V7ASordb7rScnJ8MUrQq1h27bDytWJLpGIHA/DgBEtgXZZReLKsXItrN8cCrS/eAmkpyWuLCJybDE9p/uvf/0rd999d8T0v/zlL4wZM6bbCtbWpk2bCAaD/Pa3v2X06NGsX7+em266iYaGBh566CEAAoEAF110EXl5ebz//vscPnyYG264AdM0efTRRwGora3l/PPPZ/bs2axevZotW7awYMECUlNT+e53vxuXsouIJMLV19vZuslk04Ygu3ealJeFXu8tCTKsxGD+9TYNgtlD8gfD+eeE7u9+exkML4bCIYkulYjEavYMOP9MyIj+uN+42rUHlrwXej/3bBiWoNZ2Eem8Lgfd999/P1dffTXvvvsuZ5xxBoZh8P777/PWW2/x17/+NR5lZN68ecybNy/8/8iRI9m8eTOPPfZYOOhevHgxGzduZM+ePRQWFgLw8MMPs2DBAhYtWkRGRgbPPPMMzc3NPPXUU7hcLiZOnMiWLVt45JFHuOOOO6JegHo8HjweT/j/2trauGyniEh3SUkxmHKywZSTbTQ2mmz5zGTzxiB7thtkZBrh851pmqz9yGTkaIPsbAXh8TL9ZNi5KzS42r79CrpF+rKcrMTl3dgEf3sFgkGYfCKcelLiyiIindfloPsLX/gCq1at4mc/+xkvvvgipmkyfvx4PvzwQ046qeeO/JqaGnJycsL/r1ixgokTJ4YDboC5c+fi8XhYs2YNs2fPZsWKFcyaNQtX63MVWua566672LVrFyNGjOgwrwcffJD777+/3fR60rDR/mfOAPaYtilg8XFYrdOJM2qaF2/UtBQauz0/BwGL5aKXxTq/6Ms1Ev1BlC6L5TwW22C1nFVZXHiiph1rWa9FeeyW+zR6nrF+Flb52fFHTYsHq2Oip1ltu9W+tl6n9XLHSo++3FFlTYEh00Ivb4MPvw8q7KG7iw6WB/jH6/UADC60M2ZCEqPHJ5GZHXn3kd0en20cSKZfY1JSEaRouJ39iS7MUWL/3optOSv+OKzTiiPWum2xXOzHbnzOv1bnqJjLGohxOX8Pf48kcqSzbhKwHzkmTNNk4oVBNq03OfMrdqqTov9YanV8xus4i/V7uzedg2IVa1k8uKKmWa3T6lo21pjC6nrUqpxgfU3utVjWajuslrPKr66D+KxVvUVaI9FHO422Tm8n63xMR8a0adP405/+FMui3WL79u08+uijPPzww+Fp5eXl5OdHPjAxOzsbp9NJeXl5eJ6SkpKIeVqXKS8vjxp033XXXdxxxx3h/2traykuLu6OTRER6VEpqZHBdCAAxSMd7N0ZoGJ/6PXBkuZwAD5uchJp6Rqdpzskuw2GDo+8eFYXf5G+acd2k9Urg+QNhtNm2khN7Zlj2TAMTj/Dzimnm9jtOn+I9BWdCrpra2vJyMgIv7fSOl9n3HfffR22ILe1evVqpk+fHv5///79zJs3j6uuuoqvfe1rEfN2dPFy9EXN0fO0DqJmdeHjcrkiWsdFRPqLgiI7n78+lcaGINs/87N1g499u44E4LkF9nDQrceQdZ/KQ0GWvORhzmUusgfpRw2RvqKhwaR0l8mK90zeeD0IJjQ0GFxyeXzPjbt3BikoNHC5Qvko4BbpWzoVdGdnZ1NWVsbgwYPJysqyDG4DXehutHDhQq655hrLedq2TO/fv5/Zs2czY8YMHn/88Yj5CgoKWLVqVcS0qqoqfD5fuDW7oKAg3OrdqqIiNPTk0a3kIiIDSUqqjUnTnUya7gwH4Lu3+RlacqRl9oM3vezbHWDMBAdjxjvIyFKwGKt3F3vZXxrg1b97uPqryTgcuoAW6W38fpPyMsjMgvT00DG6dbPJa/8K4vWa1NWGGm7K9geJ4YFAnVZeZvK3ZwJkZRt8aYG9x1rVRaT7dCrofvvtt8P3Ty9durTbMs/NzSU3N7dT8+7bt4/Zs2czbdo0nnzySWxHPYxwxowZLFq0iLKyMoYMCY1Qs3jxYlwuF9OmTQvPc/fdd+P1enE6neF5CgsL23U7FxEZqNoG4K1M02TbZ35qqoKU7wvw3mIPBUV2BeAxOvdiJ8/8JkBFWYD33/Ry9jz1phJJtJoak/17TfbtgX37TA6UQSBgMucCG9NODQW6Q4sN8ocYFBXZsNmC+Pxw5ufid/5rbDT5x18C+P2QlQ0p0W85FZFerFNB96xZs8LvR4wYQXFxcYfdtPfs2dO9pWuxf/9+zj77bIYNG8ZDDz3EwYMHw2kFBQUAzJkzh/Hjx3Pdddfx05/+lMrKSu68805uuummcJf3+fPnc//997NgwQLuvvtutm7dygMPPMC9996r++pERCwYhsEXv+pm22d+tm7ws293gPJ9gXAAPuoEB5dcE31QE4mUnmFjzuUu/vnnZj5e6WPYSDsjx/b9AZ9E+qKDFSZ/eSYYbrluKyXVoO3Yb7l5Bjd+PdQDyG6H1auC7N4J4yd2f7mCQZOXXghSU22QnWNw8RV2Xa+K9FFd/oYfMWJEuKt5W5WVlYwYMaJL3cs7a/HixWzbto1t27YxdGjkwwhb78m22+288sor3HrrrZxxxhm43W7mz58ffqQYQGZmJkuWLOG2225j+vTpZGdnc8cdd0QMkiYiIh1LTbMx5RQnU05x0lAfjAjAU9OPXAgGgyaffuRjxDgH2ZkJLHAvN3Ksg5NOT+LjlT4Wv+jh2pttpGeox4BIPNTWmuzbY7JvL+zbazJsuMHs80LHW2YW1NeBzWaQlw9FRQZFxVA41CA7O/q4PyUjDVavgt272gfr3eGdt012bjdJchl8/mo7yckKuEX6qi4H3dFGW62vryc5OblbCnW0BQsWsGDBgmPON2zYMF5++WXLeSZNmsS7777bTSUTERmY2gbg9XVBgsEjaWV7Aix91cPSVz0UDjUYM97BmPF2MtUFvZ0zz3Oyb3eQirIAr7/g4QvXJ2uwOpFuEAyarP4Q9pQH2bfH7LAVu5XTaXD9V23k5oXed1bx8FCgXlVpUl1tkpXVfcfuZxuCrPwgdGK94DI7g/N1XhDpyzoddLe2BhuGwT333ENKm5tKAoEAq1atYurUqd1eQBER6d06eqTY0BJ7qAv63tDrvcWE7wE/cbKd1DQF4AAOh8GFV7p45rdNBALgaQa37tkUOW6GAatWQm1DKHBt24pdOBSKiiOD2MKirge1LpfBsBIAA6/n+MvcKhg0eXdp6EeCU2fYGD9R50uRvq7TQffHH38MhFq6P/300/BAZABOp5MpU6Zw5513dn8JRUSkTyka7uDKBQ7q64Ls/MzL1o1+9u0Ohu8BLyx2k5oWmlePIYPsQTauWpBMbr5NjwESOQ5tzyeGYTD9FJOAzUZRscGQwq61YnfWNV+2dft91jabwfwbbHy4wmT2eQbx6bwuIj2p00F366jlX/nKV/jFL37Rpedxi4jIwJOWbmPqqUlMPTWp5R7wAHt3BRgy9EirzduveKkoCzJmgp2x4x1kZg/MFp38QnvE//oxQqRr6utN/vE8jB1nctrpoWNn5hkGAUd8zynxGtgsPd3g3DmhdXf/aEki0tO6fE/3k08+GY9y9ElNQTe2YAej9cbh/B7AHjXNiTNqmhdvjOuMvpzLIj+7xVeD1TqtyxK9z5bDIj+rbY91n1ltn8uinKE8u3+91vs7tv1mtU6rtFhZffa9Sazbbsd/7JmiiPVzstLzy7VsfxoUnBJ6VbSkmabJuk2HaGoIsn0/vL4E8godjBjvYuSEZDKy+0bd6E6BgMmHb9ZTXxPkvKsyesVIxYGuXyp0Yp1947O1Ph/GdmxbHdexlyX2c3PM22GPcTtiXO5opmlSvi/Irq1+dm0NcGB/aL07Kg0GT0vp1C0s3VEPg0GTmqogVYeDFBY7SHbHdsz6sfPhsmaycm2MnRj9GqUrjufYjXXfxLqcP+b8+sZTH6z2i1Wax+J61WrbY88v+uMrvRZlOZ5lrbbRa7HORqLfi1VHmkVaetS0Jot1RsvP18m6G1NNXb16NX/7298oLS3F640MJF544YVYVikiIgOMYRh84ZYcdm3ysmNDM2W7fBzcH3p9+GY9I8Ync/4XB9bw59WHAmz8sIlAwOSzj5IYf4pu8BY52toVXj5630tjQ2TH64IiO2df6IrbmBHNTSaHDgQ4dCDA4QPB0N+KIFvW+6ivDbLw3gymnhY9SLCydYOXD5c1A5CdayevoG/8MCUindPloPu5557j+uuvZ86cOSxZsoQ5c+awdetWysvL+fznPx+PMoqISD+VkmZn/HQ346e7aWoIsvMzDzs3NrN/p4/MQUcuOv1+kw2rGik50UVmTt9o2YjFoHwHp5yXxso36ljxRj35w5wMyu+/2ytixTRNDlUE2bU1wIlTHOFBG202aGwwcboMho+yM2Ksg+Gju2+AxmDQpOpwkPpak+Gjjhx/f/99A5UH27fUp6YZNDUa7NnhjynoPnQgwFsvNgFw0hkuBdwi/VCXv8kfeOABfvazn3HbbbeRnp7OL37xC0aMGME3vvENhgwZEo8yiojIAOBOtUUE4G3t2+Fl1ZJ6Vi2pJ3dIUksX9P4ZgE863c3+HV5Kt3p4++81fP7rOTiSEt/NXKQneL0me3cG2LnVz66tfupqQq3ZyW6DSdNCQfWYCQ5y820MKbYf9+CDjQ1BDh0IcvhAgEMtrdeVB4ME/CZJToOb70oP3+YxKN+Gz2eSm28nN98W+ltgo7nR5G9PNLB/d6DL4zE0N5m8/Fwjfh8Uj3Iw49z4PH5XRBKry1cr27dv56KLLgLA5XLR0NCAYRh85zvf4ZxzzuH+++/v9kKKiMjA4k6NbLFKchoMHeVk/04fh8pCr9Vv1TOoIImRE1yMOymZlLT+0TpkGAazLs/g+ccqqTroZ8XrdZx1iQYvlf6t6nCQZa82s3dXgECbxuSkJBg6wkF65pFANjXN1uVW7UDApPJQkMqDQcZOcIQD6bdeambnZl+7+ZOcBrn5dpqbTNwpoXnnXuHuMKAOZpu4kg08zSYVZUEKijp3LgoGTV7/eyO1VUEysh3MvTJFAyiK9FNdDrpzcnKoq6sDoKioiPXr1zNp0iSqq6tpbGzs9gKKiIgUljgpLHHS3BjZBf1weehVcoKLlJZxU/x+E4ejb1+4ulNtzL4ig1f/WM1na5ooHOlk1AS1gEn/4Peb7Nsdiqxbu2+7UwxKdwQwTcjMtlEyxk7JGAdDS+wkdbGnh2ma7N0V4MD+YMs92EGqDgXDwXzR8FTS0kPrzCuwUXnQFm69HpRvJzffTma20W4gw2gBsc1mUFTiYMcmH3t3+jsddC9/y0Ppdj+OJIMLr0kl2T0wn94gMhB0Oeg+66yzWLJkCZMmTeKLX/wi3/rWt3j77bdZsmQJ5557bjzKKCIiAkByio0Tp7k5cZqb5sYguzZ5OLjPR3beka+zZf+opeZwINwFPWtQ3+yCXjTSyZQzU9j4YVOiiyJy3Opqg+ze6qd0q5fSHQF8XpMhxfZw0J3sNph7RTKDh9jJHtQ+4O2Kt/7lYf3a9q3XrmSD3HwbnmaTtJYBjE8728Xps4//B62hI+zs2ORjzw4/08889n3dpmnSuonnX+4mN79/9NQRkY51+UrkV7/6Fc3NodEV77rrLpKSknj//fe54ooruOeee7q9gCIiIh1JTrFxwsluTjj5yKMbAwGTfdu9eJqDHC738dHb9eTkOxg5IZmR411k5fatAHza2amcOM1NepYuyHs70zTZscFDQ22QSTPc4aCxoS6AzWbgTDaO+/7jvmj1ex62rPdx+EComdkgdI92WrpB7mBbS/AZ2i8nTEqKKQ+fzyQYBJcrtJ6xEx1s2eCnZHSbe6/zbaRntg/mu+uxfMUjQ+eW/aWBTvW2MQyDM85LZtykJHLzj+fhkiLSF8TUvbyVzWbj+9//Pt///ve7tVAiIiKxsNsNrr59ELs2edi50cO+HV4qD/ipPFDPR2/XM3pSMud8oe88hsxuNyICbr/P1KBqvdTOzzy89fcaHEkGk2ceedTbe/+qo3SLB7vDYPYVGYwdH1tg2Rc01AfZvzvAmAlHtrFif4DDBwIYhkHBUDsjxxiUjHGQV2A77oC3ucnkk9VePl7pY8LJSZx5XqiFuXiEna/ekRoOwntCTq6Nyac6KRhq/QOZp9nE7iAclKuFW2Rg6HLQPXv2bL785S9z5ZVXkpnZdy5cRERkYGjbAt7cFGT3Jg87NoQC8Jw2j9/yeoKsX9nEiPGuiO7pvdW+HV6W/aOWsz+fQdFIZ6KLM2AEgyZbPm4iyWUwpMTZ4YB9zU1Blr9aD0BqRmR6MBBq2Q34TXZv9varoDsYNDmwP8DulpHGK/aHWrNzC9LIbnnk3+RTnYw60cHw0Q7cKTbstH/kVlfV1wX5eIWPTz7y4fOG9m/pdj/muU4MI9Sa7YrtcdkxMwyDsy90W84TDJq89rdGfF644Ivu8CPQRKT/6/JVxqRJk/iP//gPFi5cyIUXXsh1113HhRdeiNOpCwAREeldkt02xp3kZtxJoQC8rdItXj5aWs9HS+vJGRzqgt6bA/AdG5tpqAuw9IVavnBLTrsR3iU+Nn7YyMrXa8P/z/p8FmOmRAZXq9+sp7E+QFaugytuzolIu/C6bLZ+0szSF2poqD3+gLM3KN/rZ/2qJkq3B2hujDyu8obYaW40YVDo/+IR3Xc8VR0OsuYDL5/92xceFC0338b0M50RI5L3Vm0HTmtuPHJfuYj0f10+E/7yl7/k5z//OW+++SZ//vOfueGGG7Db7Vx55ZVce+21zJo1Kx7l7JWa6t0YtpT2CWkWC1lcIwWI3sXITfSR4b1E/8EjQPQBeKzyc+KNKT+r5azys0qz08E+buHCY7Fc9Isbp8VyLottsNq+Rqx/4bZar1VZY93GWLffiqMbWiiO5rf47HtaPLYv1s/o2OuN7Q7AWLexO1qnurJOq3NCrOtsPUQbWv71pDWRPSaJ8h1N7Ksw2VcR5L2lTaQPSmLIKDcTzsgkNbP3BOBj5+awo7SMwxVeXv5HkNnX5vVIkBHrZ9FX8rOqMz5PkOXv1dNMCmlZDuqr/dgLB3MYJ3YCbPu4js2raqkqN4AUzrxkCDWO9oNy+TKaaMJHRW0Sh1qj0S6yOnaP71xivaxpmhwu8+FKsZGeFToeyhqaWfepH0jCmWyjaJSL4jFOho52hXsCHIq5RNF9sLKGz9YCOCkY7mTKmWkMHR1q3T4Yh/xicXC/j/07PZw4PQWn68hF3/b1Tbz7QQBIYvbl2QTy3RzohvxiPV6O5ziL9Xs70PWwo2W53nOdEGtZrPZZrPvF6no81vys1umxSAstG717idWyVstZlafRIj6wSmuyuF6PZZ2dPR5i+pRtNhtz5sxhzpw5/OY3v+Ff//oXixYt4oknniAQ6B+/4oqISP9WMMJNwQg3nqYAezc3UrqxkbLtTdQd9lF32MfEs47cQnVwbzM2m0HOEGfCWtMcSTbOvDKP1x7fz/5tTXy2opbxMwfmbV4+T5CmOj/uDAdJzvi1+G9aWUNzQ4D0nCQuum0oPk8QV5vHOpXvaKaqPPSD6uhp6eQP73gU7JSM0OVWY20gYuCw3srTFGTfdg97tjazb5uHpoYgUz+XxrRzQs+LHzLCyeQz0yge42Lw0KS4DBBnmiblu724UmzkDA51yZ80M5WG2iCTz0ilYFjv7GG59O/V1Fb6ycp1MHxcqD4cLvfx3j9rAIPJZ6QxcoL1j/Qi0v8c10/45eXlPPfcc/zpT3/ik08+4ZRTTumucomIiPQIl9vOqKnpjJqajtcT5MDOJqoO+EhJP/IV+cnSasq2N+FKsVMwMpnC0W4KRrpJzejZlvCswU6mzcvhw5cPs+6tKgYPTya3qIdvXk2Q8h2N/PvNSmoPefF7Q12a03KSOP+rRSSndv/n0NwY4LPlNQBMPicbu93AnhLZonHynGyKxrhpqPUz7tSMqOtKabnPO+AL4m0O4nL3npa7Vn6fyYaV9ezZ6qFijxfTPJLmdBkE27SpJDltnHpefPpGm6bJ7s0ePnm/gYq9XkpOTOa8q7MByMh2MOdL2XHJt7sUjnRSW+ln/04vw8cl09wYZMlzVfh9JkWjkpl2rvqUiwxEXf6Wqq2t5fnnn+fPf/4zy5YtY+TIkcyfP5/nnnuO0aNHx6OMIiIiPcLpslF8QirFJxyZZpomTreNJJcNT2OA3esb2L0+1Ek9a7CToSekMPWcngsExkxLp3xHM6UbG3j/7we58ObCiG6s/dFHrx5k64c1EdMMm0F9pY8PXzrI5740pNvzrNjVRMAXJLvAyfAJqR3Ok5LuYMRkq3vKQuwOG1POycaVYsOw9Y5Wbk9zkPoqP4OHhH4AsNlh/YqG8D3a2YMdFI9Jpmi0i/xhzrg/7iwQMNn+aROffNBA9cHQ7TN2h0FKur1P9A5oVTjCyaaPGinbGeoB8f7LNdRXB0jPdjD7ymxsveTzF5Ge1eWgOz8/n+zsbL74xS/ywAMPqHVbRET6NcMwOOvKwQQCJof2eijb3kTZ9iYq93uprvDiTo9stdz2cR25RS4y85LiEigYhsFplwzi8D4PecUDo5W7tXv2mFMzGXtqJu4MB401fla9WMHUObHdI90R0ww979lmg2Hj08i6zYXPE+yWz3HS57KA2MdjOF6maVJV4Wfv1mb2bWvmQKkXd5qNL30nNDaAzWYw5aw0HEkGQ8ckk5bZc63x2z5pYvVbdTTUhJrTk1w2xp+awoTTUjocLb43G1IS6vZeecBHU0OAU85Lp7E2yJmXZETcmiAiA0uXg+5//vOfnHfeedhsOnGIiMjAYbcb5A9PJn94MlPPyaa5MUD5jiacbboKN9b5WfnP0BBS7nQHQ0YlM2SUmyGj3CSndF/w4HLbueDrhaGW017WAhjwBwkGQo/IOvIKTbPZITv/yA8Fez5rwNscJOA3CQZC8/r8BgG/SdG4VPKKQ/fEnjAzi/wRbgYVHblnOjPPyflfKwpv/4GdjVTu9xzJ09cmf1+Q6Rfl4Wr5DDatqGbHx7UE/CamP0jAFwzPa5pw8cKhZOY6yRjU+cd7bV9Xh8ttZ+i40GA7lWUePltRi8Np4HDaSMt2MGZaOvYevnwq2+lhx/pG9m5tpvGo0dOTnDaaGoLhwHbijGO32neHYNAkGCD8zHlPU5CGmgDuNDsTT0/hhOkpuJL75nWmO9VOTkESleU+9u/0Mmqim0u+moNhGHEYjlJE+oouB91z5szB7/fz9ttvs337dubPn096ejr79+8nIyODtLSeOWGLiIgkUnKKnZKJkd953uYghaPdHNjtoanOz4519exYV49hGGQPcTLhzEyGj++4q3KX8089EsSbpomnKYDdYQsHj8HWvy3BbFKyjaw8Z3j+Hf+ujwiMWwPloN8kfZCDsdOP3KP8znPl+L1H1hVss1zuUBdnXpUfnveFh0rxNkc+RqpV7lAXc79WFP7/o9cO01gb2fJrEgrE9m1uYN43hmJ32LDZjIiAu1XbHxz2fNbQrgt6W5PPHRQOupsbAtRUhLr/Gpjt5g36j0zzeYMc3uchZ4gTZ3LHP5w0Nwb46LVKTrlwEH5fEEeSjboqPzs/qQ/P4/eaNNUFGDHeRU5BfAYBM02TmkN+0nMc4e7gpZub2LImdDuEI8lGwQgnQ0cnM3RMMunZjrg8meBofp/JwX1eykt9HCj1cmCPj6lnpTLlzNDxM/YkN3aHwejJ7nAg3pcVjnCGgu4doaC7t/0wJiI9r8tB9+7du5k3bx6lpaV4PB7OP/980tPT+d///V+am5v5zW9+E49yioiI9HpZeU7O+XIBAX+QitJQV/T925qoPuClcr+HYOBIMFd72EfZ9iaGjHKTnhP7M4abGwOs/Ochag/7qK7wRr1ndPiEVM66anD4/xUvRn+oU+Fod0TQfWBHMz5vx4F0albkpYTdcSR/m93A7jjyavtDAUD+iGQ8jcGIebDbQ++TDJobAqRmdq7FM3doMj5PKOC1OwxsLetzJIXeO9t07R15UjoFI0OBnjPJPJJ/UssybUZEX/3yIXZ+Uo/NBud/tZDcDoL/TStr8XmCbP2ojhGTQz+qZA1O4uQ5Ofi9QfZubmLTyhre+kM5Z1yewxmXd1+XeJ83yL6dTS3dxj3UV/uZe30uhSND5SwZ78Y0YeiYZAqGO3Ek9UwLsqc5yMfv1HOg1MehMh9mMPLHjYP7fOH3SU4bJ0yL/qievqZwhJP1Kxo4sCf6o0JFZGDpctD9rW99i+nTp/Pvf/+bQYOOfGl8/vOf52tf+1q3Fk5ERKQvsjtsDBnpZshINyefH+p2Xr6jmSGjjjwqqHRjA+veqgJCgWvh6FA39IIRyVFbVDsSDJgc3OOhucFP2fZmisa4MWyRwa7NboRbeSHUQjx0XAoYtJvP7jDIyI3sVn3KxYNatsvA7mgJau2EgtmjynrJN4tDaXbjmD8kzPz84HbTYn0ObsnkdEomd25k6IxBTjIGhVqbrVp6PU0Bdm8ItRLbk2xk5x9pod78YS2epiAFI5LZvKoWgBNnZoS3OTPXSWZuaH6H08b2j+uoPexr17LfEdM08XlNPI1BmhsCeBqDZOcYZLZ8LjWHfKx+o5rmhiBVB3yYbR7XancY1Fb6KRwZ+j9/mIv8YfG79980TWorA5SXhn7wGTMlVMcdSQabPmrE7wsF26kZdvKHOckflkTBMCfZg3t25P+eNKTEyUULcsgb2jsfayYiPa/LZ7z333+fDz74AKcz8kQyfPhw9u3b120FExER6S9S0h2MnBLZFT0t20F+STIH93hoqPaz9aM6tn5Uh2EzyC1yceaVeaRmHvtrOiXdwYzLc1n25wMMGZnM564ezLATj92F/ewv5R9znlYjOhnMQmgQrP6idEMDwYBJdoGT2V8uwO4IbZtpmmxaWUtdpY9Plobmzcp3UnxCx621mXlJJCXbaG4IUlfpZ8/mxlAgXeBk0JDQ9VRVhZcP/nE4HGgH/JEtwyefnc7UszNb8oe9W5vDaRlZDoaOSWboGBcFJa64Prs8EDA5XObj0J7QYGzlpT6aG0JBf1aeIxx02+0G085Jx51qI39YEmmZ9gHTzTrJaWNIycAY5FBEOqfLQXcwGCQQaP+r8N69e0lPH1jPHvQ0OzGSuvYrpt+i9SLgjJ7mt/jl30X07ktWy1m1Jlgt5yX6NjstyhLrclYjvVqt06r1wmmxnNeyLNHX6cITNQ2gybI80fNsxB01zWGxTquyWqclZmTd3s5qX1s5nvslY102HvdoxqNexLpP+4v0iYM4eSL4vUEO7mqgYnsDB7bX03CombIDNjxpg/C13N+8a101ZhDyR6WSktl+cK+0sVkUz7CzdUUly/7VyHlFg0nJiJwv1hbkWFl9j8S0Pm+ALe8d4uDOBoqnZFEyLf6PX9rw7yqaSSZ3cj6etEHhs3zQNBl6lsH+TXUc3NFAwB9k6rnFVBqh66Cjj0EjP5WCKT6qaw5xsNrJq8+GWs/Hn53K+CG5ANQaHvaXVQN2IPTZ2R0GrlQ7yakOmlMyOETo0XT+zCATLkvBlWInbVASWYOODKgX/a72jnX1OHzlsVJqD3lb7oW3AS7sDoNBRS6yhyVzyMwOl6VwRqiHhBeo7GK5+qN4HIOxHmeBrocAbZaNNc/Yluvuc8nxiHW/xWOfxX4dH/0HIat1eiyWC603+rW1x/K6O/p6Y13O6tq5iei3sjTGkOancz9ydrnmnH/++fz85z/n8ccfB0Jd1Orr6/nxj3/MhRde2NXViYiIDGgOp40hY9MZMjYUsDVXN1F3yIutzXORN79fSd2hUMiXnusif3Qq+aNSyRueEr7/eOK5eRzc1Uh1WTOrX9jPWdcP6xfPBDZNk73ra1i/+ADNdaH7gAP+ICOmd/xsdNNsO+BbEIfThqPlR21vk5/aitC99cHWUdXbDDY3aFgKmfmhe6ErdtRzeE8ThgHFkzIi8rDZDEpOyqLkpCz8viDexkCHP4a0SslIYtaCYTjddqrLm3GlOHCl2knNPnJBmZKVxJnzi0hOteNMCQXa9qSOu+g7nDZGnJQZ/t/o5h/FAv4gFbua2b+1gcP7PJx3Y1G4LuUNT6a5IUD+MCd5w5LJG5ZMzhBnuBeAhHiaAnyytIrqA17OWzBkwLTyi0jHuhx0/+xnP2P27NmMHz+e5uZm5s+fz9atW8nNzeXZZ5+NRxlFREQGjNQsJ6lZR4KxYNCkeGI6B7bbOLy3mbpDHuoOedi2shKb3aB4YganfL4Qu8PGaVcW8dZvd3JwVyOb3jvM+Fm5CdySzgv4Q4FrMGBGBKLVZU188loZh0sbAUjNdlI8JYvsoiMjQpdvqWPtP/cdCaIDR3XLvqyI4SeFAvTKvU2seGZ31HJMvmBIOOg2WoLMwaPScKdHD6gdSTYcnRjszTAMZl4z1HI9hWMT9wSY+iof+7c2sn9rIxW7mgj4jgycV7nfQ+7Q0H45aW4up1ych8PoeGA9CXEkGez4uA6/z6TmoI+swbq/W2Qg63LQXVhYyLp163j22WdZu3YtwWCQr371q1x77bW43dGb8kVERKTrbDaD8WfnMf7sPLzNASp2NHBge+jVWO3D1ma08NTsJJypdhqqfGQVJOae0mDAxNsUoLHRh6cxgGFA7vAj95ive2U/jVU+vI1+PI0BvI1+/C0jo2cNcTP7G6MA2LexhtV/24tpmtiTbIz7XB6jZwxq16JqmiaehugtvW1HzU5KtpM2yBUe3Tw0cJytZaRzW7uW5xNn5TL8pKzu2C2YpklDtQ8zCOmDelcA9tnyatYtjhzNPiXDQcHoFArHpJDZJmCM5/3i/YndYSNvWDJl25so39GkoFtkgIvpxgS3282NN97IjTfe2N3lERERkSicyXaGjs9g6PgMTNOkvtIXkV61v5nGKh9JyTaWP7uX079YxNDxGVHWdmzBYCiA9rYEx6EgOYDDaaN40pHuze//qZSGSi+exgC+5tA9wsGW+9HbBtIAB3c0UH+4/RgYR3eFzxuZhivVTu6INCaen487o+PW5tySVM69dXQHQbSBYYvsnj2oOIXzvzmmU9uemuVk/Oz2o6vHauvKKj554wBF4zOY8cWiYy8QB/VVPsq2NlC+rZFRp2RSOCb0Y0hucTKGzSBvWDJD2gTa6hJ9fApGuinb3sSBnU2ccHrmsRcQkX6rU0H3Sy+91OkVXnrppTEXRkRERDrHMIx2LaauVDsnnJVL+bZ6qss95BS52bepjuRUO1nF6Xga/XgbA+EW5tYg2tsYwJVqZ+wZR7qjv/HLbdRXdjzIY1ZBckTQ3VjljZjXMMDlduBMibxvGeCEWXkEgyaulFC6M8WO020nKTlydGtnsp1zbh2NK8X6UiXJZSdpcO8ZaCmajLzQfqg7aD3oZncK+IMc3N1E2bZGyrY2UnfoyGfkznCEg+5BRS6u+H5Jlx5VJ8eWPyLUA/TArmaCQZNOjrckIv1Qp4Luyy+/vFMrMwyjw5HNRUREJP7Ssp1MPDePiefm4Wn0U1/pY9Xf9mHYDE79YjEf/WM/nsaOv6ezCpIjgm6jTYDgdNtxtQbIKY52wf7Jlw7BsBkRAXTQ1vElRvHkrE5vz7EC7r4kY3Cou3/dYS/BgBkxUF48NNX7efWXu8Nd9yH0meYWuxkyJoXCcUe6/Nts7Z+3Lscvu8CJy23D0xSkcr+H7KH9pz6LSNd06ugPBhM/WMall17KunXrqKioIDs7m/POO4//+Z//obCwMDxPaWkpt912G2+//TZut5v58+fz0EMPRTxT/NNPP2XhwoV8+OGH5OTk8I1vfIN77rlHXahERKRfcaU4QveVjkjlwLZ6Vjy7F29TAHdmUjiAPvLXQUp2ZPftM748DHuSDafbfsxR0Nves90q8VcOvYs73YHDZcfvCVB32Evm4NjuuS/f1kBjjY/mej/N9QGaGwJ46z001wdwZzg4Z0FosDZ3mgN3uh2/10bB6BSGjEkhf2SKguseZLMZDC5xs+ezBsp3NJE9tP1xIiIDQ5/5yW327NncfffdDBkyhH379nHnnXdy5ZVXsnz5cgACgQAXXXQReXl5vP/++xw+fJgbbrgB0zR59NFHAaitreX8889n9uzZrF69mi1btrBgwQJSU1P57ne/m8jNExER6XYOp40zvjSU1S/uZ/en9didBuNn5zH6tJxjLtt2BHU5foZhkDnYyeE9TdRWeCKC7vJt9TTW+PE1eMPBtKch9Ned7uDsBcXheT9+rYK6w5Hd/m0tP3EE/JEjt8/+ylCSU+1qWEig/BHJVO73YHfoMxAZyDoddF944YU8++yzZGaG7uFatGgRt912G1lZWQAcPnyYs846i40bN8aloN/5znfC74cPH84Pf/hDLr/8cnw+H0lJSSxevJiNGzeyZ8+ecOv3ww8/zIIFC1i0aBEZGRk888wzNDc389RTT+FyuZg4cSJbtmzhkUce4Y477tCXkoiI9Ds2u8GpVxSSlHqIbSsr+fdr5Xga/IyfnafvvR6Wnufi8J4mVv19H8UTjwxwt+61A9Qf9mJgtlumbfdwgLwSN+m5TpJT7SSnOUhOs+NOheQ0B+60yFZsd1qfaVvpt8ZMz2DsKRmhWzATXRgRSZhOn43feOMNPJ4jg3/8z//8D1/60pfCQbff72fz5s3dXsCOVFZW8swzzzBz5kySkkLd4VasWMHEiRMjupvPnTsXj8fDmjVrmD17NitWrGDWrFm4XK6Iee666y527drFiBEjOszP4/FEbHttbW2ctkxERKT7GYbB5Ln5uFIdbHirgk3vHiJjsIviiRpRuScNHpHCrrXVJB8VDOeVpJA+yElKmg1XOJh24Eq1406PnHf6JQXt1msn+iPTJLGOdWuGiAwMnQ66TdO0/L8n/OAHP+BXv/oVjY2NnH766bz88svhtPLycvLz8yPmz87Oxul0Ul5eHp6npKQkYp7WZcrLy6MG3Q8++CD3339/u+lmQwqmLaXd9KZA9/+yHHBGvwcrYPExBohtORfRuxU66Xg0WwAP0e9R88a4TquLCa/lctF/U7baviaL5azK2Yj1c+pdMZbVavsdlst1f9pAFutFrdVndDxi/Zzi8fkO5Av+eH2+cWFAwVnZ+FKzOLyrnrQJw6gmfgGB3+L7p6/o7s83ZWIOp+YPxmYzqCY5PH3UJVlRl/EChzm+Yzf280X3H9s9fcz0lnoYDIaeJ+9O7/jRd1bXZLGyugaM17KxLhePzyke+9Q6v+7fZ1b7Jfbr/+hpHovr42PtT6vrfKv4wKo8VtfWXot1NtI+PjvedUbbvkAnRzBJ6MML7rvvPgzDsHx99NFH4fm/973v8fHHH7N48WLsdjvXX399RPDfUTc50zQjph89T+vyVl3s7rrrLmpqasKvPXv2xLzNIiIiiVR8ci5TPj88/L0XDATxefrQjwd9mGEYZAx2k5abfOyZpd84uLOeV/93E6ueK010UUQkQTr9E1BrEHz0tOOxcOFCrrnmGst52rZM5+bmkpuby9ixYznxxBMpLi5m5cqVzJgxg4KCAlatWhWxbFVVFT6fL9yaXVBQEG71blVRUQHQrpW8LZfLFdElXUREpC9r/f42TZN//2M3DYc9nHLtKFxpHbfCiUjsUnOc+JoDVO9vxtsc0AjyIgNQl7qXL1iwIBx8Njc3c/PNN5OaGnr8Qdt7njurNYiORWsLdWu+M2bMYNGiRZSVlTFkyBAAFi9ejMvlYtq0aeF57r77brxeb/gxYosXL6awsLBdt3MREZH+rqnGy+GddXga/Kz4/RZOvW40Kdn6kVmkO6VkOkkb5KL+sIdDuxooPCHj2AuJSL/S6e7lN9xwA4MHDyYzM5PMzEy+/OUvU1hYGP5/8ODBXH/99XEp5IcffsivfvUr1q1bx+7du1m6dCnz589n1KhRzJgxA4A5c+Ywfvx4rrvuOj7++GPeeust7rzzTm666SYyMkInt/nz5+NyuViwYAHr16/nH//4Bw888IBGLhcRkQEpJcvFjK+OIyXbSUOlh+VPbKG2vDHRxRLpd/JGhBqpDu1sSHBJRCQROt3S/eSTT8azHJbcbjcvvPACP/7xj2loaGDIkCHMmzeP5557LtzybrfbeeWVV7j11ls544wzcLvdzJ8/n4ceeii8nszMTJYsWcJtt93G9OnTyc7O5o477uCOO+5I1KaJiIgkVGqOixk3jmX1n7ZTe6CJFU9u5ZT5I8kZnp7ooon0G3kjU9n5USUHFXSLDEh94gGOkyZN4u233z7mfMOGDYsY0Tzaut59993uKpqIiEifl5zu5PSvjOGjZ3dQubueD/+4jZOuGkH+uKxEF02kX8gtScUwDGormmmu95Gs8RNEBpSEjl4uIiIivUNSsoNTvzya/HGZmCY4XBrsSaS7uFIcZBaERq1Xa7fIwNMnWrpFREQk/uxJNk6+eiS1ZY1kFaUmujgi/UrJtGya69LDwbeIDBwKukVERCTMZjMiAu66iibKNlQx5uwhGnRU5DiMmJ6T6CKISIIo6D4eHgOSOrgA8Ud/3EqTxeoC/uhd+QLJ0T+qgMXzHr02Z9Q0N9FHqPUSfTkn3qhpLqI/Oi4+64y+r+0EYiqL1XJOi7I4LJYDaLJIjzVPK1blscrPKm0gs+OPablj1YtYxfo59fTn2x/qU6yffX/g9wZY9adteGq9HKxO4oRLR2Gzx/fOtEAvujTpTcf98RxL8TgOB/JxEat41O0A8bkNJNb1+mNcLtZ9E6/t78n8rNZptT+t9pnVOq3SPBbX1cfadqtra6vtsLqW91is02q5RlIslou+zliWC9K5H6N1T7eIiIh0yOG0M/KcYRg2g/J/H+TTv2wm4Ov7P6SIJIqvyc+BzyqpKq1LdFFEpAcp6BYREZGohkwdzKRrxmFz2Di8pYp1f9iIr8mX6GKJ9Em7Vx1g3V+2UbrqQKKLIiI9SEG3iIiIWModm8PU68fjSLZTs6eOtU9uoLk2tltfRAaynBEZABzeWYdpmgkujYj0FAXdIiIickxZwzI4+SsTcaU7aahoZPubpYkukkifkzU0FXuSDV+jj/oKq5F+RKQ/UdAtIiIinZKWn8rJX51I3vhBjL1wRKKLI9Ln2Ow2soenA3B4R22CSyMiPUVBt4iIiHSaOyuZSV8cR1Kbp2o0VqrFTqSzckaGuphX7lTQLTJQKOgWERGRmJUu38eq/7eOAxsOJbooIn3CoJb7uit31REMBBNcGhHpCQq6RUREJCamaVK7rx4zYLLh71vYu7o80UUS6fXSC1JISkki4A1QW9aY6OKISA+I7Un0IiIiMuAZhsH4L4wlyb2DfR8dYMsrO/A1+ij53FAMw0h08UR6JcMwmHLlSNzZLtxZrkQXR0R6gFq6RUREJGY2m8HYi0ZSMmsoADuX7uGTP2/SI8VELAwamUlKdrJ+nBIZINTSfTzqgY4esei2Wij6L5pevz1qmt8XPc3b7Iya5kz2Rk0LJEdfp9MWfTk/FmXBoixEX6fHYjmrddoJWOQX/YIv1nXaSYma5rLI79jrtUqLXqEcMa7TSqzL9Qfx2HY7/piXtfp8rfPs2c+wN9WZ49nfPSnWz7a3CX8fGJAzOxtvWg47X9/Kvq1NVDy+lZO/NQN7UvTvjL4sHp9hvI4lfR/0fgGLa6t4LBev9VpdI1rnF1tIEq/t7+784rFfrMoSa5r1Nb51rwyr9XoslrVezio+iL7ORotrZ6vlYskv2MnzpIJuERER6RYFpwwloySbbf/8jNwJg/ttwC3SHco/qeDgxkMMPb2IjJKcRBdHROJIQbeIiIh0m5S8VCbdeHLEtNrSahoP1JM/vUjdaUVaVO2o5tCmSlJyUxR0i/RzuqdbREREupVhs2HYQpcYAV+AbS9+xo5XtrDh6Y9pKK8j6Fe3ZZHsEVlAKPgWkf5NLd0iIiISNzaHjSGnDWX3m9up3VXNv3+zGoCkVCfODBd5UwooPL0YgGAgSO3uapwZLlwZLuxOXaZI/5U1IhOA+rJ6fE0+ktxJCS6RiMSLvs1EREQkbgzDYMhpxWSPzWXnq1uo2VVF0BfE1+DF1+Ale8yg8LzeWg8b/7Au/L892YErw4Wz5ZU9NpdBJ+QlYCtEul9yhouUXDeNh5qo3lVD3om5iS6SiMSJgm4RERGJu+RsNydeOwXTNPE3+/HWevDWenBlJYfnCXgDuPNS8dY2E/AECDT7aWz201jRAIAzzaWgW/qV7BFZoaB7Z7WCbpF+TEG3iIiI9BjDMEhyJ5HkTiI1Py0iLTU/jZNuOw0Av+dIYO6pbcZb6yGzJDsRRRaJm+yRmexbXUa17usW6dcUdIuIiEiv43A5cOQ5SMlLTXRRROImqyQTm8NGUkoSAV9Aj9kT6acUdIuIiIiIJECSO4kzf3AaJDkTXRQRiSMF3cejIcp0qyeh+K3Son8cQX/0Xz69jugZ+n3RlwtYrNPjcEVNcyVH/2Kw26KXxYk3+nIWO8ZruVz0/Oy4o6Y5LJazLmf05Rot8jtWntbbYZUWfb9Z5WfFKr/+Lh7bbvUZHUusn6GV+Gxj76kzvakssTqeOtPTArqM6FCsn2E8jnno/8d9bxIghpbqYwxaHtM6j8F/HOuM9biPdTvisf29aZ/GY39apVmV00v06/9j7bN4rNdD9JjDap2xLucNRl/OHyVuMr2dO9/rOd0iIiIiIgnmb/JhmmaiiyEicaCgW0REREQkQUzTZMMTH7Lmf5fRXNmY6OKISBwo6BYRERERSRDDMLDZbWCa1O6sTHRxRCQOFHSLiIiIiCRQxojQ4/BqdyjoFumPFHSLiIiIiCRQxogcAGp3Vem+bpF+SEG3iIiIiEgCpRZlYnM68Dd6aTxQn+jiiEg363NBt8fjYerUqRiGwbp16yLSSktLueSSS0hNTSU3N5fbb78drzfy8U+ffvops2bNwu12U1RUxE9+8hP9oigiIiIiCWOz28gYngVA7Y7DiS2MiHS7Phd0f//736ewsLDd9EAgwEUXXURDQwPvv/8+zz33HM8//zzf/e53w/PU1tZy/vnnU1hYyOrVq3n00Ud56KGHeOSRR3pyE0REREREImSMHASgwdRE+qHYnsaeIK+99hqLFy/m+eef57XXXotIW7x4MRs3bmTPnj3hoPzhhx9mwYIFLFq0iIyMDJ555hmam5t56qmncLlcTJw4kS1btvDII49wxx13YBhGIjZLRERERAa4zFGDGDSxgKyxeYkuioh0sz4TdB84cICbbrqJF198kZSUlHbpK1asYOLEiRGt4HPnzsXj8bBmzRpmz57NihUrmDVrFi6XK2Keu+66i127djFixIgO8/Z4PHg8nvD/NTU1oTeNtR0XNmCxIf4Y03wWXeAd0TM0vZ7oaT5v9DRHMGpa0GKdhi16WYJEz8+w2GkBi+Vi3dkG0bfPKj/TIj/T8gMMrTn6stHLY5Vn0CJPq+WsBGNcrj+Ix7Yfzzpj/QytBOKwTnsvqjO9qSyx6kvbEMCe6CL0SrF+hvE6/8ajTtn6UD3tScHjOCYcyQ6GzRkLgLe2OTw9HseZ/zjWGWt5eno5K8fzOUUT6z6Nx36xSrMqp9/yety6g7TVegMW16vW2xH9mjyAL2paEKdFWvR1BoPRlzP9HZfTrAuNwXCs25X7RNBtmiYLFizg5ptvZvr06ezatavdPOXl5eTn50dMy87Oxul0Ul5eHp6npKQkYp7WZcrLy6MG3Q8++CD3339/+4Rriru+MT3M6uNvtkiz0hDjciIiIiIiIv1NXV0dmZmZUdMTGnTfd999HQezbaxevZrly5dTW1vLXXfdZTlvR93DTdOMmH70PK2/Slh1Lb/rrru44447wv9XV1czfPhwSktLLXeuSKva2lqKi4vZs2cPGRkZiS6O9AGqM9JVqjPSVaoz0lWqM9JV/b3OmKZJXV1dh2OOtZXQoHvhwoVcc801lvOUlJTwX//1X6xcuTKiWzjA9OnTufbaa3n66acpKChg1apVEelVVVX4fL5wa3ZBQUG41btVRUUFQLtW8rZcLle7vAEyMzP7ZeWR+MnIyFCdkS5RnZGuUp2RrlKdka5SnZGu6s91pjONsAkNunNzc8nNzT3mfL/85S/5r//6r/D/+/fvZ+7cufzlL3/htNNOA2DGjBksWrSIsrIyhgwZAoQGV3O5XEybNi08z913343X68XpdIbnKSwsbNftXEREREREROR49YlHhg0bNoyJEyeGX2PHhgaZGDVqFEOHDgVgzpw5jB8/nuuuu46PP/6Yt956izvvvJObbrop/KvK/PnzcblcLFiwgPXr1/OPf/yDBx54QCOXi4iIiIiISFz0iaC7M+x2O6+88grJycmcccYZfPGLX+Tyyy/noYceCs+TmZnJkiVL2Lt3L9OnT+fWW2/ljjvuiLhfuzNcLhc//vGPO+xyLtIR1RnpKtUZ6SrVGekq1RnpKtUZ6SrVmRDDPNb45iIiIiIiIiISk37T0i0iIiIiIiLS2yjoFhEREREREYkTBd0iIiIiIiIicaKgW0RERERERCRO+n3Q/eCDD3LKKaeQnp7O4MGDufzyy9m8eXO7+T777DMuvfRSMjMzSU9P5/TTT6e0tDSc7vF4+OY3v0lubi6pqalceuml7N27N2IdVVVVXHfddWRmZpKZmcl1111HdXV1xDylpaVccsklpKamkpuby+23347X643LtktsuqvOnH322RiGEfG65pprItahOtM/dKbOHF0XWl8//elPw/PoPDNwdFed0Xlm4OhMnamvr2fhwoUMHToUt9vNiSeeyGOPPRYxj84zA0d31RmdZwaOztSZAwcOsGDBAgoLC0lJSWHevHls3bo1Yh6dZzpg9nNz5841n3zySXP9+vXmunXrzIsuusgcNmyYWV9fH55n27ZtZk5Ojvm9733PXLt2rbl9+3bz5ZdfNg8cOBCe5+abbzaLiorMJUuWmGvXrjVnz55tTpkyxfT7/eF55s2bZ06cONFcvny5uXz5cnPixInmxRdfHE73+/3mxIkTzdmzZ5tr1641lyxZYhYWFpoLFy7smZ0hndJddWbWrFnmTTfdZJaVlYVf1dXVEXmpzvQPnakzbetBWVmZ+fvf/940DMPcvn17eB6dZwaO7qozOs8MHJ2pM1/72tfMUaNGmUuXLjV37txp/va3vzXtdrv54osvhufReWbg6K46o/PMwHGsOhMMBs3TTz/dPOuss8wPP/zQ3LRpk/n1r3+9Xb3Seaa9fh90H62iosIEzHfeeSc87eqrrza//OUvR12murraTEpKMp977rnwtH379pk2m818/fXXTdM0zY0bN5qAuXLlyvA8K1asMAFz06ZNpmma5quvvmrabDZz37594XmeffZZ0+VymTU1Nd22jdK9Yqkzphn6kvrWt74VNV11pv/qqM4c7bLLLjPPOeec8P86zwxssdQZ09R5ZiDrqM5MmDDB/MlPfhIx38knn2z+x3/8h2maOs8MdLHUGdPUeWYgO7rObN682QTM9evXh+fx+/1mTk6O+bvf/c40TZ1noun33cuPVlNTA0BOTg4AwWCQV155hbFjxzJ37lwGDx7MaaedxosvvhheZs2aNfh8PubMmROeVlhYyMSJE1m+fDkAK1asIDMzk9NOOy08z+mnn05mZmbEPBMnTqSwsDA8z9y5c/F4PKxZsyZu2yzHJ5Y60+qZZ54hNzeXCRMmcOedd1JXVxdOU53pv46uM0c7cOAAr7zyCl/96lfD03SeGdhiqTOtdJ4ZmDqqM2eeeSYvvfQS+/btwzRNli5dypYtW5g7dy6g88xAF0udaaXzzMB0dJ3xeDwAJCcnh+ex2+04nU7ef/99QOeZaAZU0G2aJnfccQdnnnkmEydOBKCiooL6+nr++7//m3nz5rF48WI+//nPc8UVV/DOO+8AUF5ejtPpJDs7O2J9+fn5lJeXh+cZPHhwuzwHDx4cMU9+fn5EenZ2Nk6nMzyP9C6x1hmAa6+9lmeffZZly5Zxzz338Pzzz3PFFVeE01Vn+qeO6szRnn76adLT09vVB51nBqZY6wzoPDNQRaszv/zlLxk/fjxDhw7F6XQyb948fv3rX3PmmWcCOs8MZLHWGdB5ZqDqqM6ccMIJDB8+nLvuuouqqiq8Xi///d//TXl5OWVlZYDOM9E4El2AnrRw4UI++eST8C8xEGq1BLjsssv4zne+A8DUqVNZvnw5v/nNb5g1a1bU9ZmmiWEY4f/bvj+eeaT3OJ46c9NNN4WXmThxImPGjGH69OmsXbuWk08+GVCd6Y86qjNH+/3vf8+1114b8UtxNDrP9H/HU2d0nhmYotWZX/7yl6xcuZKXXnqJ4cOH8+6773LrrbcyZMgQzjvvvKjr03mm/zueOqPzzMDUUZ1JSkri+eef56tf/So5OTnY7XbOO+88LrjggmOub6CfZwZMS/c3v/lNXnrpJZYuXcrQoUPD03Nzc3E4HIwfPz5i/hNPPDE8EnVBQQFer5eqqqqIeSoqKsK/wBQUFHDgwIF2+R48eDBinqN/mamqqsLn87X7JUcS73jqTEdOPvlkkpKSwiM8qs70P9HqTFvvvfcemzdv5mtf+1rEdJ1nBqbjqTMd0Xmm/4tWZ5qamrj77rt55JFHuOSSS5g8eTILFy7k6quv5qGHHgJ0nhmojqfOdETnmf7P6rtp2rRprFu3jurqasrKynj99dc5fPgwI0aMAHSeiabfB92mabJw4UJeeOEF3n777XCFaOV0OjnllFPaDYe/ZcsWhg8fDoQqV1JSEkuWLAmnl5WVsX79embOnAnAjBkzqKmp4cMPPwzPs2rVKmpqaiLmWb9+fbj7BcDixYtxuVxMmzatezdcYtYddaYjGzZswOfzMWTIEEB1pj85Vp1p64knnmDatGlMmTIlYrrOMwNLd9SZjug8038dq874fD58Ph82W+Slnd1uD/fQ0nlmYOmOOtMRnWf6r658N2VmZpKXl8fWrVv56KOPuOyyywCdZ6KK90htiXbLLbeYmZmZ5rJlyyIeddDY2Bie54UXXjCTkpLMxx9/3Ny6dav56KOPmna73XzvvffC89x8883m0KFDzTfffNNcu3atec4553Q49P3kyZPNFStWmCtWrDAnTZrU4dD35557rrl27VrzzTffNIcOHdpnh77vr7qjzmzbts28//77zdWrV5s7d+40X3nlFfOEE04wTzrpJNWZfqgzdcY0TbOmpsZMSUkxH3vssQ7Xo/PMwNEddUbnmYGlM3Vm1qxZ5oQJE8ylS5eaO3bsMJ988kkzOTnZ/PWvfx2eR+eZgaM76ozOMwNLZ+rMX//6V3Pp0qXm9u3bzRdffNEcPny4ecUVV0SsR+eZ9vp90A10+HryyScj5nviiSfM0aNHm8nJyeaUKVMink9omqbZ1NRkLly40MzJyTHdbrd58cUXm6WlpRHzHD582Lz22mvN9PR0Mz093bz22mvNqqqqiHl2795tXnTRRabb7TZzcnLMhQsXms3NzfHYdIlRd9SZ0tJS83Of+5yZk5NjOp1Oc9SoUebtt99uHj58OGIdqjP9Q2frzG9/+1vT7Xa3e75pK51nBo7uqDM6zwwsnakzZWVl5oIFC8zCwkIzOTnZHDdunPnwww+bwWAwPI/OMwNHd9QZnWcGls7UmV/84hfm0KFDzaSkJHPYsGHmf/zHf5gejydiPTrPtGeYpmnGqxVdREREREREZCDr9/d0i4iIiIiIiCSKgm4RERERERGROFHQLSIiIiIiIhInCrpFRERERERE4kRBt4iIiIiIiEicKOgWERERERERiRMF3SIiIiIiIiJxoqBbREREREREJE4UdIuIiEg7Z599Nt/+9rd7JK/NmzdTUFBAXV3dca3nlFNO4YUXXuimUomIiHQPBd0iIiK92IIFCzAMo91r3rx53bL+ZcuWYRgG1dXVEdNfeOEF/vM//7Nb8jiWH/3oR9x2222kp6cf13ruuecefvjDHxIMBrupZCIiIsdPQbeIiEgvN2/ePMrKyiJezz77bFzzzMnJOe4guDP27t3LSy+9xFe+8pXjXtdFF11ETU0Nb7zxRjeUTEREpHso6BYREenlXC4XBQUFEa/s7Oxw+iOPPMKkSZNITU2luLiYW2+9lfr6+nD67t27ueSSS8jOziY1NZUJEybw6quvsmvXLmbPng1AdnY2hmGwYMECoH338pKSEh544AFuvPFG0tPTGTZsGI8//nhEOZcvX87UqVNJTk5m+vTpvPjiixiGwbp166Ju21//+lemTJnC0KFDw9OeeuopsrKyePnllxk3bhwpKSlceeWVNDQ08PTTT1NSUkJ2djbf/OY3CQQC4eXsdjsXXnhh3H+QEBER6QoF3SIiIn2czWbjl7/8JevXr+fpp5/m7bff5vvf/344/bbbbsPj8fDuu+/y6aef8j//8z+kpaVRXFzM888/D4Tuqy4rK+MXv/hF1Hwefvhhpk+fzscff8ytt97KLbfcwqZNmwCoq6vjkksuYdKkSaxdu5b//M//5Ac/+MExy/7uu+8yffr0dtMbGxv55S9/yXPPPcfrr7/OsmXLuOKKK3j11Vd59dVX+eMf/8jjjz/O3//+94jlTj31VN57771O7TcREZGe4Eh0AURERMTayy+/TFpaWsS0H/zgB9xzzz0AES3SI0aM4D//8z+55ZZb+PWvfw1AaWkpX/jCF5g0aRIAI0eODM+fk5MDwODBg8nKyrIsx4UXXsitt94azv9nP/sZy5Yt44QTTuCZZ57BMAx+97vfkZyczPjx49m3bx833XST5Tp37drFtGnT2k33+Xw89thjjBo1CoArr7ySP/7xjxw4cIC0tDTGjx/P7NmzWbp0KVdffXV4uaKiIkpLSwkGg9hsalsQEZHEU9AtIiLSy82ePZvHHnssYlprsAywdOlSHnjgATZu3EhtbS1+v5/m5mYaGhpITU3l9ttv55ZbbmHx4sWcd955fOELX2Dy5MldLkfbZQzDoKCggIqKCiDUUj558mSSk5PD85x66qnHXGdTU1PEMq1SUlLCATdAfn4+JSUlET8+5Ofnh/Nv5Xa7CQaDeDwe3G535zdOREQkTvQTsIiISC+XmprK6NGjI16tQffu3bu58MILmThxIs8//zxr1qzh//2//weEWosBvva1r7Fjxw6uu+46Pv30U6ZPn86jjz7a5XIkJSVF/G8YRnikcNM0MQwjIt00zWOuMzc3l6qqqk7lZZV/q8rKSlJSUhRwi4hIr6GgW0REpA/76KOP8Pv9PPzww5x++umMHTuW/fv3t5uvuLiYm2++mRdeeIHvfve7/O53vwPA6XQCRAxIFosTTjiBTz75BI/HE1G2YznppJPYuHHjceXd1vr16zn55JO7bX0iIiLHS0G3iIhIL+fxeCgvL494HTp0CIBRo0bh9/t59NFH2bFjB3/84x/5zW9+E7H8t7/9bd544w127tzJ2rVrefvttznxxBMBGD58OIZh8PLLL3Pw4MGIUc+7Yv78+QSDQb7+9a/z2Wef8cYbb/DQQw8BtGsBb2vu3LmsWLHiuIP+Vu+99x5z5szplnWJiIh0BwXdIiIivdzrr7/OkCFDIl5nnnkmAFOnTuWRRx7hf/7nf5g4cSLPPPMMDz74YMTygUCA2267jRNPPJF58+Yxbty48CBrRUVF3H///fzwhz8kPz+fhQsXxlTGjIwM/vWvf7Fu3TqmTp3Kj370I+69916ADu/ZbnXhhReSlJTEm2++GVO+be3bt4/ly5d3yzO/RUREuothduaGKxEREZEueuaZZ/jKV75CTU2N5T3Wv/71r/nnP//JG2+8cVz5fe9736Ompqbd88NFREQSSaOXi4iISLf4wx/+wMiRIykqKuLf//43P/jBD/jiF794zEHNvv71r1NVVUVdXR3p6ekx5z948GDuvPPOmJcXERGJB7V0i4iISLf43//9X379619TXl7OkCFDuPzyy1m0aBEpKSmJLpqIiEjCKOgWERERERERiRMNpCYiIiIiIiISJwq6RUREREREROJEQbeIiIiIiIhInCjoFhEREREREYkTBd0iIiIiIiIicaKgW0RERERERCROFHSLiIiIiIiIxImCbhEREREREZE4UdAtIiIiIiIiEicKukVERERERETiREG3iIiIiIiISJwo6BYRERERERGJEwXdIiIiIiIiInGioFtEREREREQkThR0i4iIiIiIiMSJgm4RERERERGROFHQLSIiIiIiIhInCrpFRERERERE4kRBt4iIiIiIiEicKOgWERERERERiRMF3SIiIiIiIiJxoqBbREREREREJE4UdIuIiIiIiIjEiYJuERERERERkThR0C0iIiIiIiISJwq6RUREREREROJEQbeIiIiIiIhInCjoFhEREREREYkTBd0iIiIiIiIicaKgW0RERERERCROFHSLiIiIiIiIxImCbhEREREREZE4UdAtIiIiIiIiEicKukVERERERETiREG3iIiIiIiISJwo6BYRERERERGJEwXdIiIiIiIiInGioFtEREREREQkThR0i4iIiIiIiMSJI9EFEBHpCc3NzXi93kQXQ0REJCqn00lycnKiiyEi3UxBt4j0e83NzbjdeUB9oosiIiISVUFBATt37lTgLdLPKOgWkX4v1MJdD3wHSG2ZmsSRU2Dbv0kdTHO0WeZ4l3XQftmO1pdE+2WjsFtkYWuTdnQW9iibYe9gWttlom2GvU0Z2s7XUfnsR83XtnydXdaqfHY6/jhi3TYHYDdb3gfCfw27P/S2ZZrdEcDuCLa89x+ZZmtJ58jf1veOlr+2NtPstKyXYMQyR+bzRyxrbzOfrU3a0cvaCUTkd3RZ2pbJ3m4+f0R+rfPb2pU5EJHemtZRWY7M549allC+kes71j5ouy8c7dYXjMgver4d7KtAALu/Jd9AqD7Y/aEXgBEqJvhbXrT5G2h5HT2t7fvWtKPn8wPBDqZ1dn2t0zoqn1W+bdfXdh1HT2u7bCzbcXRZYtmONvP7WpZp+ajwBY689weOzO7roCgdTWt97+tgWtu041nWD3iAn5WX4/V6FXSL9DMKukVkAHEBrRcyHQW1HQXOHc13PMtGm68zy3bAaHlx1N/W97Y2f20dTDs6+LW3eW8VmEYL4q0C3Y5+FLBa37GW7ah8xyqL1bLHKosjetBtJIWmGY4AhqP1fSjN5ghgs0UGbzYC4eC44+DXKgjtKODsKGCPFsBG/wHg+Ja1WyxrO8ayRsuyNuwtFfTIX6PNskb475FqarRZHy3vW/+aHf4e07puB2Z4Pnub96G/wTbrbvkbMLD7W8raUdDdUYBoFcB2NC1asNrZaVbBamen2dukHb1TA3R8Ljm6LEab9Lbnptb5OmK0eW8elWZ2MK2j85oJvpagvOWjwme0ed+mmK3vO5p2dEDcmfmslnW0STt6Pnub9yLSP2kgNREREREREZE4UdAtIiIiIiIiEicKukVERERERETiREG3iIiIiIiISJwo6BYRERERERGJEwXdIiIiIiIiInGioFtEREREREQkThR0i4iIiIiIiMSJgm4RERERERGROFHQLSIiIiIiIhInCrpFRERERERE4kRBt4iIiIiIiEicKOgWERERERERiRMF3SIiIiIiIiJxoqBbREREREREJE4UdIuIiIiIiIjEiYJuERERERERkThR0C0iIiIiIiISJ45EF0BEpOd4OHLaC7R572/56zjqPYCvzfukNn8dR83naJPedtrRyzpov2xH60ui/bIdMFteHPW39X2wzd/gUdMMQruh9X3bv0e/b5vf0e+PzuvofO0dzNear72DaW0/gtb0QAfTOtrN9jZ/O/o4OrNsRx+RA7C3bIAjEP5r2kOFNVummY4ApiPY8j6UFnQEMGyhdIMjf1vfB8MbF2i3E4yIHdOSBwHM8E5qnRbEDK/PH54veFQeQQLh+QItf+0EsLd53zpf63tbOM3fZplgeP626aFdFYhIb007Og97xHz+qGWx48dx1PpsBCLyay3T0cvaCLRJbztfMPw++jQTR0ultbX8tQdM7P7Q+9ZqYPeHXgBGa733c6Qet/2ojq7jgaPet6YdPZ+fI8eU32K+aOtrndZR+azybbu+tus4elrbZWPZjqPLEqD9+tpOszqvBcHXcqi2fFT4zCPv22br66AoHU1rfe/rYFrbtONZ1k/oG0pE+icF3SLS7zmdTgoKCigv/1miixIfR1+cSo9p/R3Bd9RfEZFYFBQU4HQ6E10MEelmhmma5rFnExHp25qbm/F6veH/a2trKS4uZs+ePWRkZCSwZL2P9k3HtF+i077pmPZLdNo3HXM6nSQnJye6GCLSzdTSLSIDQnJycocXMhkZGbrgi0L7pmPaL9Fp33RM+yU67RsRGQg0kJqIiIiIiIhInCjoFhEREREREYkTBd0iMiC5XC5+/OMf43K5El2UXkf7pmPaL9Fp33RM+yU67RsRGUg0kJqIiIiIiIhInKilW0RERERERCROFHSLiIiIiIiIxImCbhEREREREZE4UdAtIiIiIiIiEicKukVkwFm0aBEzZ84kJSWFrKysdun//ve/+dKXvkRxcTFut5sTTzyRX/ziFz1f0AQ41r4B+Na3vsW0adNwuVxMnTq1R8uXKJ3ZL6WlpVxyySWkpqaSm5vL7bffjtfr7dmC9gJr167l/PPPJysri0GDBvH1r3+d+vr6RBerV9iyZQuXXXYZubm5ZGRkcMYZZ7B06dJEFyuhli1bhmEYHb5Wr16d6OKJiHQLBd0iMuB4vV6uuuoqbrnllg7T16xZQ15eHn/605/YsGEDP/rRj7jrrrv41a9+1cMl7XnH2jcApmly4403cvXVV/dgyRLrWPslEAhw0UUX0dDQwPvvv89zzz3H888/z3e/+90eLmli7d+/n/POO4/Ro0ezatUqXn/9dTZs2MCCBQsSXbRe4aKLLsLv9/P222+zZs0apk6dysUXX0x5eXmii5YwM2fOpKysLOL1ta99jZKSEqZPn57o4omIdAs9MkxEBqynnnqKb3/721RXVx9z3ttuu43PPvuMt99+O/4F6wU6s2/uu+8+XnzxRdatW9dj5Uq0aPvltdde4+KLL2bPnj0UFhYC8Nxzz7FgwQIqKirIyMhIQGl73uOPP84999xDWVkZNlvod/1169Zx0kknsXXrVkaPHp3gEibOoUOHyMvL49133+Wss84CoK6ujoyMDN58803OPffcBJewd/D5fAwdOpSFCxdyzz33JLo4IiLdQi3dIiKdUFNTQ05OTqKLIb3UihUrmDhxYjjgBpg7dy4ej4c1a9YksGQ9y+Px4HQ6wwE3gNvtBuD9999PVLF6hUGDBnHiiSfyhz/8gYaGBvx+P7/97W/Jz89n2rRpiS5er/HSSy9x6NAh9Y4QkX5FQbeIyDGsWLGCv/71r3zjG99IdFGklyovLyc/Pz9iWnZ2Nk6nc0B1HT7nnHMoLy/npz/9KV6vl6qqKu6++24AysrKEly6xDIMgyVLlvDxxx+Tnp5OcnIyP/vZz3j99dejjhMwED3xxBPMnTuX4uLiRBdFRKTbKOgWkX7hvvvuizoYT+vro48+6vJ6N2zYwGWXXca9997L+eefH4eSx1+89k1f1937xTCMdtNM0+xwel/T2X01YcIEnn76aR5++GFSUlIoKChg5MiR5OfnY7fbE70ZcdHZfWOaJrfeeiuDBw/mvffe48MPP+Syyy7j4osv7pc/SMRyfO3du5c33niDr371qwkqtYhIfDgSXQARke6wcOFCrrnmGst5SkpKurTOjRs3cs4553DTTTfxH//xH8dRusSKx77pD7pzvxQUFLBq1aqIaVVVVfh8vnYt4H1RV/bV/PnzmT9/PgcOHCA1NRXDMHjkkUcYMWJED5S053V237z99tu8/PLLVFVVhe/x//Wvf82SJUt4+umn+eEPf9gTxe0xsRxfTz75JIMGDeLSSy+NY8lERHqegm4R6Rdyc3PJzc3ttvVt2LCBc845hxtuuIFFixZ123oTobv3TX/RnftlxowZLFq0iLKyMoYMGQLA4sWLcblc/eJ+3Vj2VeuPDb///e9JTk7usz1FjqWz+6axsREg4n731v+DwWBcypZIXa0zpmny5JNPcv3115OUlBTHkomI9DwF3SIy4JSWllJZWUlpaSmBQCA8+vbo0aNJS0tjw4YNzJ49mzlz5nDHHXeE78m12+3k5eUlsOTxd6x9A7Bt2zbq6+spLy+nqakpPM/48eNxOp0JKnl8HWu/zJkzh/Hjx3Pdddfx05/+lMrKSu68805uuummATNyeatf/epXzJw5k7S0NJYsWcL3vvc9/vu//3vA37c8Y8YMsrOzueGGG7j33ntxu9387ne/Y+fOnVx00UWJLl7Cvf322+zcuVNdy0WkfzJFRAaYG264wQTavZYuXWqapmn++Mc/7jB9+PDhCS13TzjWvjFN05w1a1aH8+zcuTNh5Y63zuyX3bt3mxdddJHpdrvNnJwcc+HChWZzc3PiCp0g1113nZmTk2M6nU5z8uTJ5h/+8IdEF6nXWL16tTlnzhwzJyfHTE9PN08//XTz1VdfTXSxeoUvfelL5syZMxNdDBGRuNBzukVERERERETiRKOXi4iIiIiIiMSJgm4RERERERGROFHQLSIiIiIiIhInCrpFRERERERE4kRBt4iIiIiIiEicKOgWERERERERiRMF3SIiIiIiIiJxoqBbREREREREJE4UdIuIiEifcPbZZ/Ptb3/bcp6nnnqKrKysTq9z2bJlGIZBdXX1cZVNREQkGgXdIiIix2H58uXY7XbmzZuX6KL0ey+88AL/+Z//Gf6/pKSEn//85xHzXH311WzZsqXT65w5cyZlZWVkZmYCXQ/aRUREjkVBt4iIyHH4/e9/zze/+U3ef/99SktL45pXIBAgGAzGNY/eLCcnh/T0dMt53G43gwcP7vQ6nU4nBQUFGIZxvMUTERHpkIJuERGRGDU0NPDXv/6VW265hYsvvpinnnoqnDZjxgx++MMfRsx/8OBBkpKSWLp0KQBer5fvf//7FBUVkZqaymmnncayZcvC87e2ur788suMHz8el8vF7t27Wb16Neeffz65ublkZmYya9Ys1q5dG5HXpk2bOPPMM0lOTmb8+PG8+eabGIbBiy++GJ5n3759XH311WRnZzNo0CAuu+wydu3aFXV7q6qquPbaa8nLy8PtdjNmzBiefPLJTq9vwYIFXH755Tz00EMMGTKEQYMGcdttt+Hz+cLz/PrXv2bMmDEkJyeTn5/PlVdeGU5r27387LPPZvfu3XznO9/BMIxw0Ny2pXrz5s0YhsGmTZsituORRx6hpKQE0zQjupcvW7aMr3zlK9TU1ITXed999/GTn/yESZMmtdsf06ZN49577426v0REREBBt4iISMz+8pe/MG7cOMaNG8eXv/xlnnzySUzTBODaa6/l2WefDf/fOn9+fj6zZs0C4Ctf+QoffPABzz33HJ988glXXXUV8+bNY+vWreFlGhsbefDBB/m///s/NmzYwODBg6mrq+OGG27gvffeY+XKlYwZM4YLL7yQuro6AILBIJdffjkpKSmsWrWKxx9/nB/96EcRZW9sbGT27NmkpaXx7rvv8v7775OWlsa8efPwer0dbu8999zDxo0bee211/jss8947LHHyM3N7dL6li5dyvbt21m6dClPP/00Tz31VPjHio8++ojbb7+dn/zkJ2zevJnXX3+dz33ucx2W5YUXXmDo0KH85Cc/oaysjLKysnbzjBs3jmnTpvHMM89ETP/zn//M/Pnz27Vuz5w5k5///OdkZGSE13nnnXdy4403snHjRlavXh2e95NPPuHjjz9mwYIFHZZPREQkzBQREZGYzJw50/z5z39umqZp+nw+Mzc311yyZIlpmqZZUVFhOhwO89133w3PP2PGDPN73/ueaZqmuW3bNtMwDHPfvn0R6zz33HPNu+66yzRN03zyySdNwFy3bp1lOfx+v5menm7+61//Mk3TNF977TXT4XCYZWVl4XmWLFliAuY//vEP0zRN84knnjDHjRtnBoPB8Dwej8d0u93mG2+80WE+l1xyifmVr3ylw7TOrO+GG24whw8fbvr9/vA8V111lXn11Vebpmmazz//vJmRkWHW1tZ2mMesWbPMb33rW+H/hw8fbv7sZz+LmOfJJ580MzMzw/8/8sgj5siRI8P/b9682QTMDRs2mKZpmkuXLjUBs6qqqsPlW11wwQXmLbfcEv7/29/+tnn22Wd3WE4REZG21NItIiISg82bN/Phhx9yzTXXAOBwOLj66qv5/e9/D0BeXh7nn39+uJV1586drFixgmuvvRaAtWvXYpomY8eOJS0tLfx655132L59ezgfp9PJ5MmTI/KuqKjg5ptvZuzYsWRmZpKZmUl9fX34nvLNmzdTXFxMQUFBeJlTTz01Yh1r1qxh27ZtpKenh/POycmhubk5Iv+2brnlFp577jmmTp3K97//fZYvX97l9U2YMAG73R7+f8iQIVRUVABw/vnnM3z4cEaOHMl1113HM888Q2NjY2c+jqiuueYadu/ezcqVKwF45plnmDp1KuPHj+/Sem666SaeffZZmpub8fl8PPPMM9x4443HVTYRERkYHIkugIiISF/0xBNP4Pf7KSoqCk8zTZOkpCSqqqrIzs7m2muv5Vvf+haPPvoof/7zn5kwYQJTpkwBQl3A7XY7a9asiQhCAdLS0sLv3W53u27QCxYs4ODBg/z85z9n+PDhuFwuZsyYEe7GbZrmMQcGCwaDHXa9htAPBh254IIL2L17N6+88gpvvvkm5557LrfddhsPPfRQp9eXlJQUkWYYRnhwuPT0dNauXcuyZctYvHgx9957L/fddx+rV6+OeUTxIf+/vbsJiWoNAzj+vyhOWZjBmNxFEkymQxEYRGFNYEwtAjNmgj4GPyphCiKhqAj6gHZFblpEBCYoaW20QKpNQooLaaNBuJmwMheJIJQQQeZd3eFadm8Kg9j9/+Cs3pfnfc7ZPec873n//JOKigra2trYunUr7e3tJJPJOceprKwkEAjQ2dlJIBDgy5cvxOPxeeUkSfp/seiWJGmOvn79SktLC42NjezevXvGWDwe5969e5w8eZJ9+/aRTCZ5+vQpbW1tVFdXp+eVlZUxNTXF2NgYkUhkTuv39vZy69Yt9uzZA8DIyAjj4+Pp8dLSUt69e8eHDx8oLCwEmLEfGWDTpk08ePCAVatWkZeX98trFxQUUFdXR11dHZFIhLNnz3Ljxo15x/tednY20WiUaDTKlStXyM/Pp7u7m1gs9sPcnJwcpqam/jNmIpHg/PnzHDp0iNevX6e7E2bzs5jZ2dnU1tbS3NxMIBDg4MGD5Obmzu3mJEn/S7aXS5I0R11dXUxMTHDs2DE2bNgw49q/fz9NTU0ALFu2jKqqKi5dusTQ0BCHDx9Ox1i3bh2JRIKamho6OjoYHh7mxYsXXLt2jcePH//r+mvXrqW1tZWhoSH6+/tJJBIsXbo0Pb5r1y5CoRC1tbW8fPmSvr6+9I/U/v4CnkgkCAaDVFVV0dvby/DwMM+fP6ehoYH379/Puu7ly5d59OgRqVSKV69e0dXVRTgcnne82Z7rzZs3GRgY4O3bt7S0tPDt2zdKSkpmnb9mzRp6enoYHR2d8dLhe7FYjI8fP3LixAkqKipmdCfMFnNycpJnz54xPj4+o729vr6e7u5unjx5Ymu5JOmXWXRLkjRHTU1NRKNRVqxY8cNYPB5nYGAgfYRXIpFgcHCQSCRCUVHRjLnNzc3U1NRw5swZSkpK2Lt3L/39/axevfpf17979y4TExOUlZVRXV3NqVOnZpxNnZWVxcOHD5mcnGTz5s3U19dz8eJFAJYsWQJAbm4uPT09FBUVEYvFCIfDHD16lM+fP//0S3VOTg4XLlxg48aN7Nixg6ysLO7fvz/veN/Lz8+no6ODnTt3Eg6HuX37Nu3t7axfv37W+VevXuXNmzeEQqGftsQD5OXlUVlZyeDgYHpP/c+Ul5dz/PhxDhw4QEFBAdevX0+PFRcXU15eTklJCVu2bPmle5Ik6Y/p6X+cZSJJkn5LfX19bN++nVQqRSgUWuh0FqXp6WlKS0tJJpOcPn16odORJC0S7umWJOk31NnZyfLlyykuLiaVStHQ0MC2bdssuOdpbGyM1tZWRkdHOXLkyEKnI0laRCy6JUn6DX369Ilz584xMjJCMBgkGo3S2Ni40GktWoWFhQSDQe7cucPKlSsXOh1J0iJie7kkSZIkSRnij9QkSZIkScoQi25JkiRJkjLEoluSJEmSpAyx6JYkSZIkKUMsuiVJkiRJyhCLbkmSJEmSMsSiW5IkSZKkDLHoliRJkiQpQ/4CGgNKNMYjsdAAAAAASUVORK5CYII=",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Plot\n",
+ "fig, ax = plt.subplots(1, 1, figsize=(10, 5))\n",
+ "plt.jet()\n",
+ "out = mesh.plot_image(sj, ax=ax)\n",
+ "\n",
+ "for data in geologic_section:\n",
+ " ax.plot(data[:, 0], data[:, 1], \"k--\", alpha=0.5)\n",
+ "\n",
+ "ax.set_xlim(core_domain_x)\n",
+ "ax.set_ylim((-400, 0))\n",
+ "cb = plt.colorbar(out[0], fraction=0.05,\n",
+ " orientation=\"horizontal\", ax=ax, pad=0.2)\n",
+ "cb.set_label(\"Average sensitivity\")\n",
+ "ax.set_xlabel(\"Easting (m)\")\n",
+ "ax.set_ylabel(\"Elevation (m)\")\n",
+ "ax.set_aspect(1.5) # some vertical exxageration\n",
+ "plt.tight_layout()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Conclusions\n",
+ "\n",
+ "In this tutorial we used the resources avaiable in SimPEG for computing and ploting the sensitivity matrix. We used the DC resistivity problem as a motivation example and analysed the sensitivity patterns for a homogeneous half space using two different survey layouts. We also applied this technique for a DC resistivity real data inversion scenario. This kind of analysis can help us decide upon the most appropriate electrode array to use for a particular exploration project. It is also a valuable tool to have in our toolbox for performing the assessment of the solutions obtained after the application of some inversion algorithm as illustrated by the real case example."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Acknowledgements"
+ ]
+ },
+ {
+ "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": "3.11.5"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}