{
“cells”: [
{

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“# Elastic Properties and Deformation Energyn”, “n”, “* This tutorial discuss the analyses that can be performed using the [dnaMD Python module](http://do-x3dna.readthedocs.io/en/latest/api_summary.html) included in the _do\_x3dna_ package. The tutorial is prepared using [Jupyter Notebook](https://jupyter.org/) and this notebook tutorial file could be downloaded from this [link](http://rjdkmr.github.io/do_x3dna/tut_notebook/calculate_elasticity_tutorial.ipynb).n”, “n”, “n”, “* Download the input files that are used in the tutorial from this [link](http://rjdkmr.github.io/do_x3dna/tutorial_data.tar.gz).n”, “n”, “n”, “* Two following input files are required in this tutorialn”, “n”, ” * tutorial_data/elasticity_DNA/free_dna.h5 n”, ” * tutorial_data/elasticity_DNA/bound_dna.h5n”, ” n”, “These two files should be present inside tutorial_data/elasticity_DNA of the present working directory.n”, ” n”, ” n”, “* The above two files can be created by the steps as shown [here](http://do-x3dna.readthedocs.io/en/latest/global_elasticity_example.html#Calculate-stretching-twisting-and-bending-motions)n

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“### Importing Python Modulesn”, “n”, “* [numpy](http://www.numpy.org/): Required for the calculations involving large arraysn”, “n”, “n”, “* [matplotlib](http://matplotlib.org/): Required to plot the resultsn”, “n”, “n”, “* [dnaMD](http://do-x3dna.readthedocs.io/en/latest/api_summary.html): Python module to analyze DNA/RNA structures from the do_x3dna output files.”

]

}, {

“cell_type”: “code”, “execution_count”: 1, “metadata”: {}, “outputs”: [], “source”: [

“import numpy as npn”, “import matplotlib as mpln”, “import matplotlib.pyplot as pltn”, “import dnaMDn”, “n”, “%matplotlib inline”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“### Initializing eyDNA object with free_dna.h5 filen”, “n”, “* [eyDNA object](https://do-x3dna.readthedocs.io/en/latest/dnaEY_api.html) is initialized by using the total number of base-pairs and HDF5 file.n”, “n”, “* This class contains all the required functions to calculate the elastic properties and deformation free energy.”

]

}, {

“cell_type”: “code”, “execution_count”: 2, “metadata”: {}, “outputs”: [], “source”: [

“eyDNA = dnaMD.dnaEY(27, ‘BST’, filename=’elasticity_DNA/free_dna.h5’)”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“### Determining modulus matrix - bending, stretching and twistingn”, “n”, “Modulus matrix for all three major motions (bending, stretching and twisting) can be obtained with getStrecthTwistBend method.n”, “n”, “In the following example, matrix is calculated for all frames and first 5000 frames, respectively.n”

]

}, {

“cell_type”: “code”, “execution_count”: 3, “metadata”: {}, “outputs”: [

{

“name”: “stdout”, “output_type”: “stream”, “text”: [

“Average values for all frames: [0.02137576 0.06756513 5.35794425 9.5425644 ]n”, “Modulus matrix for all frames: n”, ” [[ 337.23299773 28.50565693 -6.98412669 -20.71008355]n”, ” [ 28.50565693 373.86276276 7.97658176 39.50860135]n”, ” [ -6.98412669 7.97658176 1080.72200976 -96.19760022]n”, ” [ -20.71008355 39.50860135 -96.19760022 448.34908519]]n”, ” n”, “Average values for all frames: [0.02137576 0.06756513 5.35794425 9.5425644 ]n”, “Elastic constant matrix for all frames: n”, ” [[15.19593397 1.28448308 -0.3147092 -0.93320957]n”, ” [ 1.28448308 16.84649455 0.35942986 1.78028278]n”, ” [-0.3147092 0.35942986 48.69802306 -4.33472522]n”, ” [-0.93320957 1.78028278 -4.33472522 20.20289574]]n”, ” n”

]

}

], “source”: [

“# All framesn”, “avg, mod_matrix = eyDNA.getStretchTwistBendModulus([4,20], paxis=’X’)n”, “print(‘Average values for all frames: ‘, avg)n”, “print(‘Modulus matrix for all frames: \n’, mod_matrix )n”, “print(’ ‘)n”, “n”, “# Elastic matrixn”, “avg, mod_matrix = eyDNA.getStretchTwistBendModulus([4,20], paxis=’X’, matrix=True)n”, “print(‘Average values for all frames: ‘, avg)n”, “print(‘Elastic constant matrix for all frames: \n’, mod_matrix )n”, “print(’ ‘)”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“raw_mimetype”: “text/markdown”

}, “source”: [

“The elastic matrix is in this form:n”, “n”, “$$\text{Elastic matrix} = \begin{bmatrix}n”, ” K_{Bx} & K_{Bx,By} & K_{Bx,S} & K_{Bx,T} \\n”, ” K_{Bx,By} & K_{By} & K_{By,S} & K_{By,T} \\n”, ” K_{Bx,S} & K_{By,S} & K_{S} & K_{S,T} \\n”, ” K_{Bx,T} & K_{Bx,T} & K_{S,T} & K_{T}n”, “\end{bmatrix}n”, “$$n”, “n”, “Where:n”, “n”, “* $Bx$ - Bending motion in one planen”, “* $By$ - Bending motion in another orthogonal planen”, “* $S$ - Stretching motionn”, “* $T$ - Twisting motionn”, “n”, “n”, “$$\text{modulus matrix} =n”, “\begin{bmatrix}n”, “M_{Bx} & M_{Bx,By} & M_{Bx,S} & M_{Bx,T} \\n”, “M_{Bx,By} & M_{By} & M_{By,S} & M_{By,T} \\n”, “M_{Bx,S} & M_{By,S} & M_{S} & M_{S,T} \\n”, “M_{Bx,T} & M_{Bx,T} & M_{S,T} & M_{T}n”, “\end{bmatrix}n”, “$$n”, “n”, “$$n”, “= 4.1419464 \times \begin{bmatrix}n”, “K_{Bx} & K_{Bx,By} & K_{Bx,S} & K_{Bx,T} \\n”, “K_{Bx,By} & K_{By} & K_{By,S} & K_{By,T} \\n”, “K_{Bx,S} & K_{By,S} & K_{S} & K_{S,T} \\n”, “K_{Bx,T} & K_{Bx,T} & K_{S,T} & K_{T}n”, “\end{bmatrix} \times L_0n”, “$$n”, “n”, “Where:n”, “n”, “* $M_{Bx}$ - Bending-1 stiffness in one planen”, “* $M_{By}$ - Bending-2 stiffness in another orthogonal planen”, “* $M_{S}$ - Stretch Modulusn”, “* $M_{T}$ - Twist rigidityn”, “* $M_{Bx,By}$ - Bending-1 and Bending-2 couplingn”, “* $M_{By,S}$ - Bending-2 and stretching couplingn”, “* $M_{S,T}$ - Stretching Twsiting couplingn”, “* $M_{Bx,S}$ - Bending-1 Stretching couplingn”, “* $M_{By,T}$ - Bending-2 Twisting couplingn”, “* $M_{Bx,T}$ - Bending-1 Twisting couplingn”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“### Convergence in bending, stretching and twisting with their couplingsn”, “n”, “Elasticities cannot be calcualted from an individual snapshot or frame. However, these properties can be calculated as a function of time by considering all the frames up to that time. For example, 0-50 ns, 0-100 ns, 0-150 ns etc. By this method, we can analyze the convergence and also further we can calculate error using block average method.n”, “n”, “Elasticities over the time can be calculated using getElasticityByTime method.n”, “n”, “If esType=``’BST’``, A ordered dictionary of 1D arrays of shape (nframes). The keys in dictionary are name of the elasticity in the same order as listed above..n”, “n”, “1. $M_{Bx}$ - bend-1 - Bending-1 stiffness in one planen”, “2. $M_{By}$ - bend-2 - Bending-2 stiffness in another orthogonal planen”, “3. $M_{S}$ - stretch - Stretch Modulusn”, “4. $M_{T}$ - twist - Twist rigidityn”, “5. $M_{Bx,By}$ - bend-1-bend-2 - Bending-1 and Bending-2 couplingn”, “6. $M_{By,S}$ - bend-2-stretch - Bending-2 and stretching couplingn”, “7. $M_{S,T}$ - stretch-twist - Stretching Twsiting couplingn”, “8. $M_{Bx,S}$ - bend-1-stretch - Bending-1 Stretching couplingn”, “9. $M_{By,T}$ - bend-2-twist - Bending-2 Twisting couplingn”, “10. $M_{Bx,T}$ - bend-1-twist - Bending-1 Twisting couplingn”, “n”, “If esType=``’ST’``, 2D array with three properties of shape (3, frame) will be returned.n”, “n”, “1. $M_{S}$ - stretch - Stretch Modulusn”, “2. $M_{T}$ - twist - Twist rigidityn”, “3. $M_{S,T}$ -stretch-twist - Stretching Twsiting couplingn”, “n”, “In the following example, modulus as a function of time was calculated by adding 1000 frames.”

]

}, {

“cell_type”: “code”, “execution_count”: 4, “metadata”: {}, “outputs”: [

{

“name”: “stdout”, “output_type”: “stream”, “text”: [

“Keys in returned dictionary:n”, ” bend-1n”, “bend-2n”, “stretchn”, “twistn”, “bend-1-bend-2n”, “bend-2-stretchn”, “stretch-twistn”, “bend-1-stretchn”, “bend-2-twistn”, “bend-1-twist n”, “———–n”

]

}, {

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”, “text/plain”: [

“<Figure size 432x288 with 1 Axes>”

]

}, “metadata”: {}, “output_type”: “display_data”

}, {

“data”: {

“image/png”: 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n”, “text/plain”: [

“<Figure size 432x288 with 1 Axes>”

]

}, “metadata”: {}, “output_type”: “display_data”

}, {

“data”: {

“image/png”: 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n”, “text/plain”: [

“<Figure size 432x288 with 1 Axes>”

]

}, “metadata”: {}, “output_type”: “display_data”

}

], “source”: [

“time, modulus = eyDNA.getModulusByTime([4,20], frameGap=500, masked=True)n”, “print(‘Keys in returned dictionary:\n’, ‘\n’.join(list(modulus.keys())), ‘\n———–‘)n”, “n”, “# Stretching modulusn”, “plt.plot(time, modulus[‘stretch’])n”, “plt.scatter(time, modulus[‘stretch’])n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(r’Stretching Modulus (pN)’)n”, “plt.show()n”, “n”, “# Twist rigidityn”, “plt.plot(time, modulus[‘twist’])n”, “plt.scatter(time, modulus[‘twist’])n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(r’Rigidity (pN nm$^2$)’)n”, “plt.show()n”, “n”, “# Stretch twist couplingn”, “plt.plot(time, modulus[‘stretch-twist’])n”, “plt.scatter(time, modulus[‘stretch-twist’])n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(r’Stretch-Twist Coupling (pN nm)’,)n”, “plt.show()”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“### Deformation free energy of bound DNAn”, “n”, “Deformation energy of a probe DNA (bound DNA) can be calculated with reference to the DNA present in the current object.n”, “n”, “The deformation free energy is calculated using elastic matrix as followsn”, “n”, “$$G = \frac{1}{2L_0}\mathbf{xKx^T}$$n”, “n”, “$$\mathbf{x} = \begin{bmatrix}n”, ” (\theta^{x} - \theta^{x}_0) & (\theta^{y} - \theta^{y}_0) & (L - L_0) & (\phi - \phi_0)n”, ” \end{bmatrix}$$n”, “n”, “n”, “Where, $\mathbf{K}$, $\theta^{x}_0$, $\theta^{y}_0$, $L_0$ and $\phi_0$ is calculated from reference DNA while $\theta^{x}$, $\theta^{y}$, $L$ and $\phi$ is calculated for probe DNA from each frame.n”, “n”, “We already loaded the data for reference DNA above. Here, we will load data for probe DNA.”

]

}, {

“cell_type”: “code”, “execution_count”: 5, “metadata”: {}, “outputs”: [], “source”: [

“# Load parameters of bound DNAn”, “boundDNA = dnaMD.DNA(27, filename=’elasticity_DNA/bound_dna.h5’)”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“Deformation free energy can be calculated for the following motions that can be used with which option.n”, “n”, “* 'full' : Use entire elastic matrix – all motions with their couplingn”, “* 'diag' : Use diagonal of elastic matrix – all motions but no couplingn”, “* 'b1' : Only bending-1 motionn”, “* 'b2' : Only bending-2 motionn”, “* 'stretch' : Only stretching motionn”, “* 'twist' : Only Twisting motionsn”, “* 'st_coupling' : Only stretch-twist coupling motionn”, “* 'bs_coupling' : Only Bending and stretching couplingn”, “* 'bt_coupling' : Only Bending and Twisting couplingn”, “* 'bb_coupling' : Only bending-1 and bending-2 couplingn”, “* 'bend' : Both bending motions with their couplingn”, “* 'st' : Stretching and twisting motions with their couplingn”, “* 'bs' : Bending (b1, b2) and stretching motions with their couplingn”, “* 'bt' : Bending (b1, b2) and twisting motions with their couplingn”, “n”, “which can be either 'all' or a list of energy terms given above.n”

]

}, {

“cell_type”: “code”, “execution_count”: 6, “metadata”: {}, “outputs”: [

{

“name”: “stdout”, “output_type”: “stream”, “text”: [

“Keys in returned dictionary:n”, ” fulln”, “diagn”, “stretchn”, “twistn”, “st_couplingn”, “b1n”, “b2n”, “bendn”, “bs_couplingn”, “bt_couplingn”, “bb_couplingn”, “stn”, “bsn”, “bt n”, “———–n”

]

}, {

“data”: {

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n”, “text/plain”: [

“<Figure size 576x576 with 2 Axes>”

]

}, “metadata”: {}, “output_type”: “display_data”

}, {

“name”: “stdout”, “output_type”: “stream”, “text”: [

“==============================================n”, “Energy(kJ/mol) Average Errorn”, “———————————————-n”, “full 27.714 0.724n”, “diag 27.012 0.751n”, “stretch 2.468 0.157n”, “twist 15.061 0.478n”, “st_coupling -0.743 0.040n”, “b1 1.477 0.180n”, “b2 8.005 0.266n”, “bend 9.718 0.386n”, “bs_coupling 0.034 0.002n”, “bt_coupling 0.825 0.020n”, “bb_coupling 0.235 0.020n”, “st 26.269 0.713n”, “bs 11.984 0.499n”, “bt 25.369 0.634n”, “==============================================n”, “n”

]

}

], “source”: [

“# Deformation free energy of bound DNA and calculate all above listed termsn”, “time, energy = eyDNA.getGlobalDeformationEnergy([4,20], boundDNA, paxis=’X’, which=’all’, masked=True)n”, “energyTerms=list(energy.keys())n”, “print(‘Keys in returned dictionary:\n’, ‘\n’.join(energyTerms), ‘\n———–‘)n”, “n”, “# Plot two energy termsn”, “fig = plt.figure(figsize=(8,8))n”, “fig.subplots_adjust(hspace=0.3)n”, “n”, “ax1 = fig.add_subplot(211)n”, “ax1.set_title(‘Bound DNA, entire elastic matrix’)n”, “ax1.plot(time, energy[‘full’])n”, “ax1.set_xlabel(‘Time (ps)’)n”, “ax1.set_ylabel(r’Deformation Free Energy (kJ/mol)’,)n”, “n”, “ax2 = fig.add_subplot(212)n”, “ax2.set_title(‘Bound DNA, only diagonal of elastic matrix’)n”, “ax2.plot(time, energy[‘diag’])n”, “ax2.set_xlabel(‘Time (ps)’)n”, “ax2.set_ylabel(r’Deformation Free Energy (kJ/mol)’,)n”, “n”, “plt.show()n”, “n”, “n”, “# Calculate average and error for each energy termsn”, “error = dnaMD.get_error(time, list(energy.values()), len(energyTerms), err_type=’block’, tool=’gmx analyze’)n”, “n”, “print("==============================================")n”, “print(‘{0:<16}{1:>14}{2:>14}’.format(‘Energy(kJ/mol)’, ‘Average’, ‘Error’))n”, “print("———————————————-")n”, “for i in range(len(energyTerms)):n”, ” print(‘{0:<16}{1:>14.3f}{2:>14.3f}’.format(energyTerms[i], np.mean(energy[energyTerms[i]]),error[i]))n”, “print("==============================================\n")”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“### Local elastic properties or stiffnessn”, “n”, “Local elastic properties can be caluclated using either local base-step parameters or local helical base-step parameters.n”, “n”, “In case of base-step parameters: Shift ($Dx$), Slide ($Dy$), Rise ($Dz$), Tilt ($\tau$), Roll ($\rho$) and Twist ($\omega$), following elastic matrix is calculated.n”, “n”, “$$n”, “\mathbf{K}_{base-step} = \begin{bmatrix}n”, “K_{Dx} & K_{Dx,Dy} & K_{Dx,Dz} & K_{Dx,\tau} & K_{Dx,\rho} & K_{Dx,\omega} \\n”, “K_{Dx,Dy} & K_{Dy} & K_{Dy,Dz} & K_{Dy,\tau} & K_{Dy,\rho} & K_{Dy,\omega} \\n”, “K_{Dx,Dz} & K_{Dy,Dz} & K_{Dz} & K_{Dz,\tau} & K_{Dz,\rho} & K_{Dz,\omega} \\n”, “K_{Dx,\tau} & K_{Dy,\tau} & K_{Dz,\tau} & K_{\tau} & K_{\tau, \rho} & K_{\tau,\omega} \\n”, “K_{Dx,\rho} & K_{Dy,\rho} & K_{Dz,\rho} & K_{\tau, \rho} & K_{\rho} & K_{\rho,\omega} \\n”, “K_{Dx,\omega} & K_{Dy,\omega} & K_{Dz,\omega} & K_{\tau, \omega} & K_{\rho, \omega} & K_{\omega} \\n”, “\end{bmatrix}n”, “$$n”, “n”, “In case of helical-base-step parameters: x-displacement ($dx$), y-displacement ($dy$), h-rise ($h$), inclination ($\eta$), tip ($\theta$) and twist ($\Omega$), following elastic matrix is calculated.n”, “n”, “$$n”, “\mathbf{K}_{helical-base-step} = \begin{bmatrix}n”, “K_{dx} & K_{dx,dy} & K_{dx,h} & K_{dx,\eta} & K_{dx,\theta} & K_{dx,\Omega} \\n”, “K_{dx,dy} & K_{dy} & K_{dy,h} & K_{dy,\eta} & K_{dy,\theta} & K_{dy,\Omega} \\n”, “K_{dx,h} & K_{dy,h} & K_{h} & K_{h,\eta} & K_{h,\theta} & K_{h,\Omega} \\n”, “K_{dx,\eta} & K_{dy,\eta} & K_{h,\eta} & K_{\eta} & K_{\eta, \theta} & K_{\eta,\Omega} \\n”, “K_{dx,\theta} & K_{dy,\theta} & K_{h,\theta} & K_{\eta, \theta} & K_{\theta} & K_{\theta,\Omega} \\n”, “K_{dx,\Omega} & K_{dy,\Omega} & K_{h,\Omega} & K_{\eta, \Omega} & K_{\theta, \Omega} & K_{\Omega} \\n”, “\end{bmatrix}n”, “$$n”

]

}, {

“cell_type”: “code”, “execution_count”: 7, “metadata”: {}, “outputs”: [

{

“name”: “stdout”, “output_type”: “stream”, “text”: [

“Average values for all frames: 0.032 -0.490 1.365 -1.353 21.767 120.816 n”, “=========== ============== Elastic Matrix =============== ===========n”, “n”, ” 182.38193 -0.43894 -33.29158 -1.10677 -0.10263 0.06223n”, ” -0.43894 144.96085 47.83000 0.17088 -0.41365 -1.97614n”, ” -33.29158 47.83000 536.89374 0.88922 0.19157 -0.04720n”, ” -1.10677 0.17088 0.88922 0.03967 0.00187 -0.00237n”, ” -0.10263 -0.41365 0.19157 0.00187 0.01341 0.01044n”, ” 0.06223 -1.97614 -0.04720 -0.00237 0.01044 0.05663n”, “n”, “=========== ====================== ====================== ===========n”, “n”, “n”, “Average values for all frames: -1.345 -0.077 1.238 40.943 2.313 126.065 n”, “=========== ============== Elastic Matrix =============== ===========n”, “n”, ” 36.97195 -1.71920 -17.32508 0.28692 -0.00210 -1.27421n”, ” -1.71920 51.72183 17.63716 0.06741 0.23741 -0.00462n”, ” -17.32508 17.63716 399.75293 1.17117 -0.14549 0.09748n”, ” 0.28692 0.06741 1.17117 0.00973 -0.00077 -0.01152n”, ” -0.00210 0.23741 -0.14549 -0.00077 0.01009 -0.00028n”, ” -1.27421 -0.00462 0.09748 -0.01152 -0.00028 0.07528n”, “n”, “=========== ====================== ====================== ===========n”

]

}

], “source”: [

“# base-stepn”, “avg, matrix = eyDNA.calculateLocalElasticity([10,13], helical=False)n”, “n”, “# Print matrix in nice formatn”, “out = ‘’n”, “mean_out = ‘’n”, “for i in range(matrix.shape[0]):n”, ” for j in range(matrix.shape[0]):n”, ” if j != matrix.shape[0]-1:n”, ” out += ‘{0:>10.5f} ‘.format(matrix[i][j])n”, ” else:n”, ” out += ‘{0:>10.5f}\n’.format(matrix[i][j])n”, ” mean_out += ‘{0:>15.3f} ‘.format(avg[i])n”, “n”, “print(‘Average values for all frames: ‘, mean_out)n”, “print(‘=========== ============== Elastic Matrix =============== ===========\n’)n”, “print(out)n”, “print(‘=========== ====================== ====================== ===========’)n”, “n”, “# helical base-stepn”, “avg, matrix = eyDNA.calculateLocalElasticity([10,13], helical=True)n”, “n”, “# Print matrix in nice formatn”, “out = ‘’n”, “mean_out = ‘’n”, “for i in range(matrix.shape[0]):n”, ” for j in range(matrix.shape[0]):n”, ” if j != matrix.shape[0]-1:n”, ” out += ‘{0:>10.5f} ‘.format(matrix[i][j])n”, ” else:n”, ” out += ‘{0:>10.5f}\n’.format(matrix[i][j])n”, ” mean_out += ‘{0:>15.3f} ‘.format(avg[i])n”, “n”, “print(’\n\nAverage values for all frames: ‘, mean_out)n”, “print(‘=========== ============== Elastic Matrix =============== ===========\n’)n”, “print(out)n”, “print(‘=========== ====================== ====================== ===========’)n”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“### Local deformation energy of a local small segmentn”, “Using the above elastic matrix, deformation energy of this base-step in bound DNA can be calucalted.”

]

}, {

“cell_type”: “code”, “execution_count”: 8, “metadata”: {}, “outputs”: [

{

“name”: “stdout”, “output_type”: “stream”, “text”: [

“Keys in returned dictionary:n”, ” fulln”, “diagn”, “shiftn”, “sliden”, “risen”, “tiltn”, “rolln”, “twist n”, “———–n”

]

}, {

“data”: {

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n”, “text/plain”: [

“<Figure size 576x576 with 2 Axes>”

]

}, “metadata”: {}, “output_type”: “display_data”

}, {

“name”: “stdout”, “output_type”: “stream”, “text”: [

“==============================================n”, “Energy(kJ/mol) Average Errorn”, “———————————————-n”, “full 7.673 0.269n”, “diag 17.583 0.737n”, “shift 0.547 0.026n”, “slide 6.411 0.429n”, “rise 0.479 0.012n”, “tilt 0.683 0.016n”, “roll 2.552 0.146n”, “twist 6.911 0.313n”, “==============================================n”, “n”

]

}

], “source”: [

“# Here calculate energy for one base-stepn”, “time, energy = eyDNA.getLocalDeformationEnergy([10,13], boundDNA, helical=False, which=’all’)n”, “energyTerms=list(energy.keys())n”, “print(‘Keys in returned dictionary:\n’, ‘\n’.join(energyTerms), ‘\n———–‘)n”, “n”, “# Plot two energy termsn”, “fig = plt.figure(figsize=(8,8))n”, “fig.subplots_adjust(hspace=0.3)n”, “n”, “ax1 = fig.add_subplot(211)n”, “ax1.set_title(‘Bound DNA, entire elastic matrix’)n”, “ax1.plot(time, energy[‘full’])n”, “ax1.set_xlabel(‘Time (ps)’)n”, “ax1.set_ylabel(r’Local Deformation Energy (kJ/mol)’,)n”, “n”, “ax2 = fig.add_subplot(212)n”, “ax2.set_title(‘Bound DNA, only diagonal of elastic matrix’)n”, “ax2.plot(time, energy[‘diag’])n”, “ax2.set_xlabel(‘Time (ps)’)n”, “ax2.set_ylabel(r’Local Deformation Energy (kJ/mol)’,)n”, “n”, “plt.show()n”, “n”, “# Calculate average and error for each energy termsn”, “error = dnaMD.get_error(time, list(energy.values()), len(energyTerms), err_type=’block’, tool=’gmx analyze’)n”, “print("==============================================")n”, “print(‘{0:<16}{1:>14}{2:>14}’.format(‘Energy(kJ/mol)’, ‘Average’, ‘Error’))n”, “print("———————————————-")n”, “for i in range(len(energyTerms)):n”, ” print(‘{0:<16}{1:>14.3f}{2:>14.3f}’.format(energyTerms[i], np.mean(energy[energyTerms[i]]),error[i]))n”, “print("==============================================\n")n”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“### Deformation energy of the consecutive overlapped DNA segmentsn”, “n”, “Above method gives energy of a small local segment of the DNA. However, we mostly interested in large segment of the DNA. This large segment can be further divided into smaller local segments. For these smaller segments local deformation energy can be calculated. Here these segments overlapped with each other.”

]

}, {

“cell_type”: “code”, “execution_count”: 9, “metadata”: {}, “outputs”: [

{

“name”: “stdout”, “output_type”: “stream”, “text”: [

“Keys in returned dictionary:n”, ” fulln”, “diagn”, “shiftn”, “sliden”, “risen”, “tiltn”, “rolln”, “twist n”, “———–n”

]

}, {

“data”: {

“image/png”: 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7HYaIiIiIiBRTX3755W/OuVp59Su1SVPjxo1Ztiw/t9UQEREREZGyxMzWh9NP1zSJiIiIiIjkQkmTiIiIiIhILpQ0iYiIiIiI5EJJk4iIiIiISC6UNImIiIiIiORCSZOIiIiIiEguSm3J8XDs2bOHbdu2kZKS4ncoZUJMTAzx8fHUqlWL+Ph4v8MREREREQlLmU2a9uzZw9atW2nQoAHly5fHzPwOqVRzzpGamsrevXvZsGEDderUoUqVKn6HJSIiIiKSpzKbNG3bto0GDRpQoUIFv0MpE8yMcuXKUa1aNeLi4vj111+VNImIiIhIiVBmr2lKSUmhfPnyfodRJpUvX55Dhw75HYaIiIiISFjKbNIEaEqeT/S6i4iIiEhJUman5xWGR2f/kPl8ZI8TfYxEREREREQiRUlTBI3/+MfM50qaRERERERKhzI9PU9ERERERCQvSpoiYP2Offxz2rdZ2v457VvW79hXpHE8//zzNGvWjNjYWKpWrRr2doMHD6Zx48aZf69btw4zY/LkyZEPUkRERESkhFHSVECfrNlGr8cW8PoXG7O0v/7FRno9toBP1mwrkjg2b97MkCFD6NixI3PnzmXOnDlFclwRERERkdJOSVMBrN+xjxtf/ooDKWmkprss61LTHQdS0rjx5a+KZMTpxx9/JC0tjUGDBnHWWWeRmJhY6McUERERESkLlDQVwLML1pKSlp5rn5S0dJ5b8L9CjWPw4MEkJSUBcM4552BmDB48GDMjOTk5S19NvRMRERERyR9Vzwsyevp3fL95T9j9l67bScgA01FS0x2vfr6BH7b+EdY+W9avzD19Tg47BoBRo0bRpk0bhg8fzsSJEznjjDOoVasWU6ZMydd+REREyqxPxhx53vUu/+IQkWJJSVMB5JUwZUhzYXY8Rk2bNqVFixYAtGzZkvbt2xfq8UREREqd+WOPPFfSJCIhlDQFye8Izyn3fMjeQ6l59qsUF8PUoR2ONSwREREREfGRrmkqgAtOr09MlOXaJybK6Hd6gyKKSEREREREIk1JUwFc17kJ5aJzfwnLRUdxbecTiiiirOLi4jh8+HCWth07dvgSi4iIiIhISaWkqQAa1ajIkwPPoHy56KNGnGKijPLlonly4Bk0qlHRn/gaNWLlypVZ2mbOnOlLLCIiIiIiJZWuaSqgrifVZtYtnXluwf94acn6zPZL2yVwbecTfEuYAC655BLuu+8+7r//ftq3b8+CBQt47bXXfItHRERERKQk0khTBDSqUZF7LzglS9u9F5zia8IEcNdddzFs2DAmTJjABRdcwKpVq3jppZd8jUlEREREpKTRSFMp0b17d1xIafP4+HjGjx/P+PHjs7SH9gu90W3jxo2P6iMiIiIiUlYpaYqgEec08zsEERERERGJMCVNETSyx4l+hyAiIiIiIhGma5pERERERERyoaRJREREREQkF5qeJyIiIuH5ZMyR513v8i+OSNq5FhZNyNo241boOAyqN/EnJhEpdpQ0iYiISHjmjz3yvDQkTT/OhjeuhLSUrO1fvQgrXoMBL0KzHv7EJiLFiqbniYiISNmzc62XMKXsh/SQpCk9xWt/40qvn4iUeUqaIumTMUcWERERKb4WTTh6hClUWgosnlg08YhIsabpeZFU2qYtiIhI/pXG635Ko2+mHj3CFCo9xevX+5GiiUlEii0lTSIiIpGkH9CKp10bYcNiWL8Q1i+Gw3vD2y7cfiJSqilpioRiXnknKSkJgHnz5jFv3jy6du3KJ598ktkuIiJSqjgHO34KJEiLvCRp9wZvXVxlSGgPv/8P0g7nva/YSoUbq4iUCEqaCqqEVd4544wzWLx4MS1btvQ7FBERkchIT4OtKwMJ0iJvRGnfdm9dxVqQ0AE63ASNOkCdUyAq2vtx86sXc5+iF1UOTr24aM5BRIo1JU0FEVx5J1R6ire8cSXcsLBYjDgBVK5cmfbt2/sdhoiIyLFLPQSbvz6SJG38HA7t8dZVSYCm53gJUqNOUONPYHb0PjoO837czC1pii7nJVsiUuapel5BFMPKO6+//jrNmzcnLi6Ok08+mXfffTfL+nnz5mFmzJs3L7Pto48+4i9/+Qv16tWjQoUKnHLKKTzyyCOkpaVl2Xb//v3ccMMN1KhRg0qVKtGvXz8WLVqEmTF58uQiODsRESmTDu2Fn+fC3Pvhhd4wNgGePxc+Hg27NsApf4ULn4VbVsLIb+HCp6HNYKjZLPuECbwfMwe8COUqeCNKWQS2OfeBYvOjp4j4SyNNwf57J/z6bfj9NywGl5Z7n/QUWPYCbFsd3j7rtoI/j827XzbmzJnDZZddRu/evXnkkUfYvn07I0aMICUlhZNOOinH7dauXcs555zDzTffTHx8PMuWLSM5OZnt27czduyRWIYMGcKbb75JcnIyiYmJfPzxx1x++eXHFKuIiEiO9u+EDUu8a5I2LIbNy73/31oU1D0VEq+GRh29aXcVax77cZr18GaDLJ4IS5870n7apbB6Jix7HlpfDjGxBT8nESnRlDQVRF4JU377FdA999xD8+bNee+994iK8gYRmzdvTocOHXJNmq6//vrM5845OnfuzOHDh3n44Yd54IEHiIqKYs2aNbz66quMHTuW22+/HYAePXqwf/9+nnjiicI9MRGRkqCYFwUq1vZsPnIt0vpFsO17rz06Fhq0gbNu8ZKk49tBfOXIHrt6E6+keHDS1G+SlzS9fhnMvRd63hvZY4pIiaOkKVh+R3geOB4O/5F3v7jj4KqZxxZTmNLS0li6dCl33nlnZsIE0L59exo3bpzrtlu2bCE5OZlZs2axefNmUlNTM9dt27aNunXr8vnnn+Oc46KLLsqybf/+/ZU0iYiUsKJAvnLOSzAzk6SF8Ps6b125ipBwJpxyISR09BKmcvH+xNm8N7S5ChY9Dn86B5ok+ROHiBQLSpoK4tQBxabyzm+//UZKSgp16tQ5al12bRnS09Pp27cvmzdvJjk5mebNm1O+fHmmTZvG/fffz8GDBwEvsQKoXbt22PsWESkTSmBRoHwryChaero3chR8j6S9v3rrylf3RpDaXuc91j0VoovRV5NzH4B1n8G718MNi6BCdb8jEhGfFKP/MpVAxajyTs2aNSlXrhxbt249at3WrVtp1KhRttv9/PPPLFu2jJdeeomBAwdmtk+fPj1Lv3r16gHeyNMJJ5yQZd8iImVafooC9X6kaGKKpPyOoqWlwJYVR+6RtGEJHNzlrTuuPpzQ2bsWqVEnqHkiRBXjmlSxFaD/f+DZc+D9m+Hil3MuLCEipVox/i9VCZBb5Z2ocl77gBeL5JfF6Oho2rZty1tvvUV6enpm++eff866dety3G7/fu+X0XLljsSfkpLCK6+8kqVfu3btMDPefPPNLO2hf4uIlDnfvJH7j2fgrV/xGuz+BfZuhwO74PB+SEv1pqsVV8GjaKHnmJ7itb9xBayYCvPGwpS+XmW7586B2f/ybjDbog9c8BSMWAG3fg9/fQ7aXgO1mxfvhClDvdPgnH/B6hleoigiZZJGmgoqp8o7bQZ5I0xFOBVj9OjR9OzZkwsuuIChQ4eyfft27rnnHurWrZvjNi1atKBRo0bcfffdREdHU65cOR599NGj+jVv3pzLLruMUaNGkZ6eTps2bZg7d27miFRUSfgfn4hIYTi8N8x+++DRk7NZYRAT5xU9iC4X8hgX9DzQHpNNW059o2O9ym9h9w1pX/AopB3O/bxSDsC7Q7zzqHMKnH6Fd4+khI5wXCmZwt1hGPw0B2bd6U0jrNnM74hEpIgpaYqE7Crv+DAFo3v37rzyyiskJydz4YUX8qc//YnHHnuM8ePH57hNbGws06ZNY9iwYVx55ZVUr16dq6++moSEBK677rosfZ955hmOO+44HnroIQ4fPky3bt2YOHEi5513HlWqVCns0xMRKZ5iK4VXFCgmHv78kJeEpKUEHoOXQFvqoZD1Qc8P74UDO4P6ZrN92qHCP+dQ5crDrauhfNWiP3ZRiIqCfk/BpI7w9rVwzWyVIRcpY8wV52kBBZCYmOiWLVuW4/pVq1bRokWLyB40OShxSN4d2X0XUw8//DC3334769atIyEhIeztCuX1FxHxw4xbwysK1GZQ0fyg5hykp+aRjAUlWKEJWuqhI89n3RHeMc3gnl2Fe16FLZz/h6+aAVMvh063QI/RRROXiBQqM/vSOZeYVz+NNEVSlzv9jqBQzZgxg5UrV9K6dWuioqJYsGABDz/8MAMGDMhXwiQiUqoUo6JAgJfARJfzFioWbF9z7wtvFC22UsGOU1K0OA/aDIaF470y5Cec7XdEIlJElDRFUte7/I6gUB133HFMmzaNsWPHsm/fPho0aMDw4cMZPVq/tolIGZZRFGjqQEg9mHVdVCB5KaKiQBFXjG6tUWyc+wCsWwjvDPWuaVYZcpEyQUmThK1Lly4sWbLE7zBERIqfZj2gSTf46SNvalwGH4oCRVRxG0UrDmIrehUAn+sO00d4CbHKkIuUeip5JiIiUlC7NsCPH8KZ12dt7/1IyU2YoFjdWqPQdbnzyJKX+q2h2z9h1fvw9UuFH5uI+E5Jk4iISEEtftIbbWh/g9+RRF7GrTXaDMra3maQ1x58Y9uSrOtdR5ZwdBzuXdP03zvgt58KNzYR8V2RJk1m1t/M3jaz9WZ2wMzWmNkYMzsuqE9jM3M5LKW0lqmIiJRY+3fCV1Og1UVQ5Xi/oykcGbfWCFbSR9EKKioK+j3t3c/qnWu98u8iUmoV9UjT34A04B9AL2AScAMw28xCYxkDdAhZwijhIyIiUoSW/gdS9kPHm/2ORIpa5frQ9wnY/DXMe8DvaESkEBV1IYg+zrntQX/PN7OdwBQgCZgbtG6tc65EVR14cvmTmc9vbH2jj5GIiEiRSDkAnz8FzXpCnZP9jkb80LIvnHElfPYYND0HTujsd0QiUgiKNGkKSZgyLA08NijKWArDpBWTMp8raRIRKQOWvwr7f4NOI/yORPzUayysXwTvDoXrP1MZcpFSqDgUgugSeFwV0j7GzFLNbLeZvW9mrYo6MBERkRylp8HiCdCgDTTq5Hc04qfYinDhs7B3K8y4BZzzOyIRiTBfkyYzawD8HzDHObcs0HwIeBoYCnTFuw6qFbDIzFrksb8hZrbMzJZt357doFbh2LhnI/ctuS9L231L7mPjno1FFkNe5s2bh5kxZ86cPPuaGcnJyVnann/+eZo1a0ZsbCxVq3r1OJKTk5k7d242exARKQNWz4Cda70qasH36clP6WopPRqc4ZUh//49WP6K39GISIT5ljSZWSXgPSAVuCqj3Tm3xTl3vXPuHefcAufcs8DZgAPuzm2fzrlnnHOJzrnEWrVqFWb4mRb8soALp1/I2z+8naX97R/e5sLpF7LglwVFEkckLV68mGuvvTbz782bNzNkyBA6duzI3LlzMxOv0aNHK2kSkbLJOe8almonQIs+Wdflt3S1lB4dh0PjzvDB7bDjZ7+jEZEI8iVpMrPywHSgCXCuc+6X3Po75zYCnwFtiyC8sG3cs5Fb59/KwdSDpLrULOtSXSoHUw9y6/xbi9WIUzjat2/P8ccfKZv7448/kpaWxqBBgzjrrLNITEz0MToRkWJg/ULY/JVXMS8q2u9opLiIig6UIS8Hb18LaSl+RyQiEVLkSZOZlQPeAhKBvzjnvs3H5sVqkvCU76eQmpaaa5/UtFRe/P7FIonnhx9+oF+/ftSuXZv4+HgSEhK46KKLSE09EuP+/fsZNmwYNWvWpGbNmgwcOJBdu3Zl2U/w9LzBgweTlJQEwDnnnIOZMXjwYCwwFeX+++/HzLKd0iciUmotHA8VakLry/yORIqbKg2g7+NeUj1vjN/RiEiEFGn1vMC9mF4BugHnhVtS3MwSgLOAaYUYHg9+8SCrd64Ou/9X274i3aXn2ifVpfLGD2/w067w7hbevHpz7mh3R9gxBOvduzfVqlVj0qRJ1KxZk02bNvHBBx+Qnn4kxhEjRnDeeefx6quvsmbNGm6//Xaio6OZMmVKtvscNWoUbdq0Yfjw4UycOJEzzjiDWrVqcf3119OhQwcGDx7M0KFDAbKMTomIlFpbv4MfP4Ku/4Ry5f2ORor4mc/KAAAgAElEQVSjlufD6QNhwTivDHljFQoRKemK+j5NE4GLgPuBfWbWPmjdL865X8zsEbwRsMXAduAk4C4gPbBdsZFXwpTffgXx22+/8dNPP/Hee+/Rt2/fzPbLLsv6K+jZZ5/NE088AUDPnj1Zs2YNzz33HJMnT84cPQrWtGlTWrTw6m+0bNmS9u3bZ7YDNGjQILNNRKRMWPQElKsAba/xOxIpzno9COsXwztD4IbPoHw1vyMSkQIo6qTpz4HHuzm6qMNoIBn4DrgBGAxUAnbg3fR2tHNuTWEGl98Rnvavtmdfyr48+1UqV4kXer1wrGGFpUaNGjRp0oQ777yTrVu3kpSURLNmzY7q17t37yx/t2rVikOHDrF161bq1q1bqDGKiJR4u3+Bb9+EttfpXjySu7hK8Ndn4T89YcZI6P9C1iqLIlKiFOk1Tc65xs45y2FJDvR53jnX1jlXzTlXzjlX1zl3WWEnTMfivCbnEWO5550xFsN5Tc4r9FjMjNmzZ5OYmMhdd93FiSeeSJMmTZg0aVKWftWrZ/2ffFxcHAAHDx4s9BhFREq8JZO8ynkdyugNzFVOPX8atIGu/4Dv3oUVr/kdjYgUQFGPNJUqg1oO4r2f38tSaCFUTHQMV7a8skjiadKkCS+++CLOOVasWMGECRO48cYbady4MeXLa969iEiBHNgFX06GUy6Eqgl+R+MPlVHPv063wE9z4YO/Q8MzoUZTvyMSkWPg681tS7qGlRsyrss44mPijxpxirEY4mPiGddlHA0rNyzSuMyM1q1bM27cOABWrlxZKMeJjY3lwIEDhbJvEZFiZ9nzcHivdy8ekXBFRcOFT3uP71ynMuQiJZSSpgLqfHxn3unzDv1P7J+lvf+J/Xmnzzt0Pr5zkcTxzTff0LVrV5566inmzJnDhx9+yNChQ4mJiaFbt26FcsyWLVsyc+ZMZs+ezbJly9i8eXOhHEdExHcpB+Hzp6BpN6h3qt/RSElT5XjoMx42fQnzH/Q7GhE5BkqaIqBh5Ybc3T5rXYu7299dpCNMdevWJSEhgXHjxtG3b18uvfRSNm/ezIwZM2jTpk2hHHPChAlUrFiRPn360LZtW5555plCOY6IiO++mQp7t0KnEX5HIiXVyf2g9UBY8AisX+R3NCKST+ZcsbpfbMQkJia6ZcuW5bh+1apVmaW0I6XVlFaZz78dlJ979pY9hfH6i4gUivR0mNgWYivCkPmqgCbH7tAf8FRnSE+F6z+D8lX9jkikzDOzL51ziXn1UyGICLrhtBv8DkFERCJtzQew4yfo/7wSJimYuOPgr/+B53vCzFu95/pMiZQISpoi6MbWZbQErYhIabZwPFRtBC3O9zsSKQ2ObwNJd8Hce+FPPaD1pX5HJCJh0DVNIiIiOdmwBH75AjreDNH6nVEi5KyR0KgTfPA32LnW72hEJAxKmkRERHKycDyUrw6tL/c7EilNoqKh39Ng0fDOEJUhFykBlDSJiIhkZ/sa73qmdkMgtoLf0UhpU7Uh9HkUflkKn/7b72hEJA9KmkRERLKz6HGIKQ/trvM7EimtTvkrnHaZlzStX+x3NCKSCyVNIiIiofZsgRVT4fSBULGm39FIafaXh6BqgjdN78Auv6MRkRwoaYqg7U9MyFxERKQE+3wSuDTocJPfkUhpl1GGfM8mrzCEiBRLKgUUQb9NnJj5vNbNw3yMREREjtnB3bDsBWh5AVQ/we9opCw4PtErQ/7JfV4Z8tMu9jsiEQmhkSYREZFgX06GQ3ug03C/I5GypPOtkNABZt4GO//ndzQiEkJJUwQc3rCBLaNHZ2nbMno0hzds8Cmio82bNw8zY968eZltSUlJJCUl5bltcnIypjuWi0hZkHoYlkyCE7pA/dP9jkbKkqhouPAZsKhAGfJUvyMSkSBKmgpo76efsvb8C9j15ltZ2ne9+RZrz7+AvZ9+6lNkeXvyySd58skn/Q5DRKT4+PZN+GOLRpnEH1UT4Lxx3g2VVYZcpFhR0lQAhzds4JcRt+AOHIDUkF+EUlNxBw7wy4hbitWIU7CWLVvSsmVLv8MQESke0tO9MuN1ToGm5/gdjZRVrfrDqZfApw/Bhs/9jkZEApQ0FcCOF17ApeR+F2+XksKOyVOKJJ4ffviBfv36Ubt2beLj40lISOCiiy4iNTShC8huet7XX39N586diY+Pp0GDBtx77704547aNjU1lTFjxtC8eXPi4uKoX78+t912GwcPHiyMUxMRKXw/fgTbV0OnEaApyeKnv/w7UIb8Wq8wiYj4TtXzgvz6wAMcWrU67P77v/zS+2UyN6mp7Hr9dQ7/+GNY+4xr0Zy6//hH2DEE6927N9WqVWPSpEnUrFmTTZs28cEHH5CeV4wBv/32G926daNu3bpMmTKFuLg4/v3vf7Mhm5GygQMHMn36dO644w46duzIqlWrGDVqFOvWrePtt98+pvhFRHy1cDxUaQgn9/M7Einr4ivDhc/C871g5t/gr8/6HZFImaekqSDCTEbC7lcAv/32Gz/99BPvvfceffv2zWy/7LLLwt7Ho48+yr59+/joo49o2LAhAD169KBRo0ZZ+i1YsICpU6cyZcoUrrzySgC6d+9O9erVGThwIMuXL6d169YROCsRkSKy8QvYsAh6jYXocn5HIwIN20GXO2DeA9CsB5w6wO+IRMo0JU1B8jvCs6ZNIun79uXZL6pSJRq99OKxhhWWGjVq0KRJE+688062bt1KUlISzZo1y9c+Fi9eTPv27TMTJoCKFSvSp08fJk+enNk2a9YsYmNj6d+/f5apfz179gTg008/VdIkIiXLwvEQXxVOv8LvSESO6Hwb/DzXK0PesB1Ua+x3RCJllq5pKoDKfftATB55Z0wMlYNGfgqLmTF79mwSExO56667OPHEE2nSpAmTJk0Kex9btmyhTp06R7WHtm3bto3Dhw9TsWJFypUrl7nUrl0bgB07dhTsZEREitJvP8LqmdDuOoir5Hc0IkdEx3hlyEFlyEV8ppGmAqhx1VXsnvYeLodCCwBWrhw1Bg8qkniaNGnCiy++iHOOFStWMGHCBG688UYaN25M+fLl89y+Xr16bN269aj20LYaNWoQHx/PggULst1P/fr1j+0ERET8sOgJiI6FdkP9jkTkaNUaQe9xXlGIBY9A0h1+RyRSJmmkqQBiExI4fvxjWPnyR484xcRg5ctz/PjHiE1IKNK4zIzWrVszbtw4AFauXBnWdh06dGDJkiVs3Lgxs23fvn1Mnz49S79evXpx8OBBdu/eTWJi4lGLkiYRKTH+2AorXofWl0GlWn5HI5K9Uy+CUy+G+Q9619+JSJFT0lRAlc4+mybvTaPqgKwXaFYdMIAm702j0tlnF0kc33zzDV27duWpp55izpw5fPjhhwwdOpSYmBi6desW1j5GjhxJxYoV6dmzJ1OnTmXatGn07NnzqFGqpKQkLr30Uvr378+9997Lhx9+yOzZs3n22Wfp168fP/zwQ2GcoohI5H3xNKQdho43+x2JSO7+8m+o0gDevhYO7gl/u0/GHFlE5JgpaYqA2IQE6v1rVJa2ev8aVaQjTHXr1iUhIYFx48bRt29fLr30UjZv3syMGTNo06ZNWPuoWbMmH3/8MTVr1mTQoEHcdNNN9OrVi6uvvvqovi+//DLJycm89dZbnH/++fTv358JEybQrFmzbK+LEhEpdg79AUufgxZ9oEZTv6MRyV18FbjwOdj9C3zw9/C3mz/2yCIix8yyu3FpaZCYmOiWLVuW4/pVq1bRokWLiB5zVfMj+2uxelVE913aFMbrLyKSL4snwof/gGs/huMT/Y5GJDzzxsK8MfDX/0Cr/nn3T64S9Fw3yhUJZWZfOufy/J+ACkFEUM2bbvI7BBERCUdaipc0NTpLCZOULJ3/5pUhnzESjm/rFYoQkUKnpCmCat08zO8QREQkHCvfhj2b4LzH/I5EJH8yypBPOgveHQqDZnhtIlKodE2TiIiULc55N7Ot3RKa9fA7GpH8q9YYej8CGxbDZ4/6HY1ImaCkSUREypaf5sC2772KeWZ+RyNybE67GFpd5F3ftHGp39GIlHpKmkREpGxZOB6Oqw+nhHERvUhx1vsRqNzAu/FtfsqQi0i+KWkSEZGyY9OXsG4BdLgRYmL9jkakYOKrwF+fhV0b4L93+B2NSKmmpElERMqOhY9DXBU4Y5DfkYhERkJ7OPvvsOJVr8CJiBQKlVuJoC+mr8183q5PEx8jERGRo+z4GVa9D51GQHxlv6MRiZyzb/fKkE8PlCGvmuB3RCKlTp4jTWYWa2aXmNlkM1ttZnvM7LCZbTGzeWY22sxaFkWwxd3SmesyFxERKWYWT4SoGDjzer8jEYms6Bi48Flw6fDOUEhP8zsikVInx6TJzCqY2T3AJuBloA3wBfAs8BDwLnAAGAZ8a2bzzaxT4YcsIiKST3u3w/JX4LRL4Li6fkcjEnnVT4DeD8OGRfDZOL+jESl1cpuetxbYAvwLeMM5tyOnjoFkaSDwoZnd5px7OrJhFm+7t+9n+eyNWdrmv7qG1j0aUqVWBZ+i8iQlJQEwb948X+MQEfHVF89A6iHoONzvSEQKz6kXw48fwSdjoEk3OL6N3xGJlBq5JU1DnXPvhbMT59xCYKGZJQONIxBXibF+5Q5mPfMtaWkuS/t3CzezeskWeg1pRaNTavgUHTz55JO+HVtEpFg4vA+WPgsn/QVqNvM7GpHCYwa9x3n3bXrjSmjaLev6GbdCx2FQXdddi+RXjtPzwk2YQrbZ6pz7vGAhlRy7t+9n1jPfkno4HReSNLk0R+rhdGY98y27t+/3Jb5Dhw7RsmVLWrbUJWciUoZ9/TIc+N0rACFS2pWvCu2uhT2/wNcvZV331YswqRP8ONuf2ERKMJUcL4DlszceNcIUKi3NsXzOxlz7REJycjJmxsqVKzn33HOpVKkSAwYMICkpKXOKHsDevXu5+eabSUhIIC4ujtq1a9O9e3dWr16d2Sc1NZUxY8bQvHlz4uLiqF+/PrfddhsHDx4s9PMQEYmotFRYNAEatoeEM/2ORqTw7VwL88YG/gj5jpKeAin7vVGonWuP2lREcpbj9Dwzez4f+3HOuWsiEI+vFrzxA79t3Bt2/y0/7cLlnjPh0hzfLdjEzs37wtpnzYaV6DzgxLBjCHX++edzzTXXcMcddxAVFUVycnKW9SNHjuT999/ngQceoFmzZuzYsYOFCxeya9euzD4DBw5k+vTp3HHHHXTs2JFVq1YxatQo1q1bx9tv6x4QIlKCfD8Ndm+APz/odyQiRWPRBEhLyb1PWopXTbL3I0UTk0gpkNs1Td046ieKHIXbr1TJK2HK7JdeuHEEGz58OCNG5DwFZfHixVx++eVcc82RHLdfv36ZzxcsWMDUqVOZMmUKV155JQDdu3enevXqDBw4kOXLl9O6devCOwERkUhxDhY+BjVPhBN7+R2NSNH45g1vRCk36SnwzVQlTSL5kGPS5JxrXIRxFAv5HeF55pb5pBzM+14IsfHR9LvtjGMNK1+CE6DstG3blsmTJ1OzZk169uzJ6aefTnR0dOb6WbNmERsbS//+/UlNTc1s79mzJwCffvqpkiYRKRnWfgK/fgt9J0CUZqNLGXE4zBkz4fYTEUDXNBXISe3qYtGWax+LNk48s+juCVKvXr1c1z/xxBMMHTqU559/nrZt21K7dm1GjhzJ/v1esYpt27Zx+PBhKlasSLly5TKX2rVrA7BjR46V50VEipeF46FSXTh1gN+RiBSd2EqR7SciQO7T87IwswrA1UAXoDqwE/gEeME5d6BwwiveWvdoyOolW0jNpRhEdLTRunvDIovJLPckrlKlSowZM4YxY8awfv163nrrLe68805iY2N58MEHqVGjBvHx8SxYsCDb7evXr18YYYuIRNbm5bB2HnQfDTFxfkcjUnROHeBVycttil5UOe+eTiIStrBGmsysLvAV8DiQCFQIPE4AvjKzOoUWYTFWpVYFeg1pRUxs1FEjThZtxMRG0WtIK99vcJuTRo0acdttt9GqVStWrlwJQK9evTh48CC7d+8mMTHxqEVJk4iUCIseh9jjIPEqvyMRKVodh0F0udz7RMdAh5uKJh6RUiLckaaHgGpA58CNbAEws47A28CDwOCIR1cCNDqlBpeMasfyORtZOX9TZvvJZ9WndfeGxS5h6tChA3379qVVq1ZUqlSJ+fPns2LFCgYNGgRAUlISl156Kf379+fWW2+lXbt2REVFsW7dOj744AMefPBBTjzx2Kv7iYgUut/XwXfvel8K46v4HY1I0areBAa86JUVT0vJOuJk0eDSoEFbqHaCfzGKlEDhJk1/Bu4ITpgAnHOLzOyfwNjsNysbqtSqQJdLT8qSNHW59CQfI8rZ2WefzRtvvMHYsWNJTU2lSZMmPProowwfPjyzz8svv8wTTzzB888/z/33309cXByNGzfm3HPPpU6dMjmoKCIlyeInvS+HZ97gdyQi/mjWA25Y6JUVX/rckfbEqyA6FpY86bW3u86/GEVKGHNh1M02swNAP+fcrGzWnQtMc86VL4T4jlliYqJbtmxZjutXrVpFixYtInrMidfPzXx+01PdIrrv0qYwXn8REfbtgEdPhlMuhAue9DsaEf8lB422Ju+G9HR4/VL46WO46gNo2M6/2ESKATP70jmXmFe/cKvnrQGuyGHdQGB1uIGVZm17N85cRETEB0ufg9QD0PFmvyMRKZ6ioqDf01ClgTeFb+82vyMSKRHCnZ73MPBioODDq8AWoC5wCdCdnBOqMqVdnyZ+hyAiUnYd3g9fPO3dyLa2RrJFclS+Klz8MjzXHd66Gq6Y5hWHEJEchTXS5Jx7GbgeOAV4DpgJ/Ac4FbjeOfdqoUUoIiISjuWvwP4d0GmE35GIFH91W8F5j8G6BTD3//yORqTYC/tnBefcM2b2HHASR+7TtMY5l15YwYmIiIQlLRUWT4Dj20JCB7+jESkZWl8Kvyz1bgTdoA20PN/viESKrXyNxQYSpFWFFIuIiMixWfW+V2q8x72Qx02+RSRIrzGwZQVMuwlqt4SazfyOSKRYCjtpMrPqQG+gIRAfsto55+6JZGAiIiJhcc77pbx6U2je2+9oREqWmDgYMAWePhumDoRrP4a4Sn5HJVLshJU0mVlPvJvYVsyhiwOUNImISNFbtwC2LPeuz4iK9jsakZKnyvHQ/3l4qR+8f7P3XCO2IlmEW3J8HPA1cBoQ55yLClnC+r+UmfU3s7fNbL2ZHTCzNWY2xsyOC+lXzcyeM7PfzGyfmc0xs1b5O7Wit+jNVzIXEREpIgvHQ8VacNqlfkciUnI1SYJz/gXfvQNLJvkdjUixE+70vMbASOfctwU83t+ADcA/gF+A04FkoKuZdXTOpZuZAdMDx7wZ+B24C/jEzFo7534pYAyFZvFbr2U+73jR5T5GIiJSRvy6En6aA91GQbnQmeMiki+dboFflsHsUVC/NTTq6HdEIsVGuCNNXwP1I3C8Ps65Ac65V5xz851zjwHDgTOBpECfvkAn4Arn3GvOuVmBtijg9gjEICIipcWix6FcRWh7jd+RiJR8ZnDBk1C1Ebw5GP741e+IRIqNcJOmW4HbzaxAdVydc9uzaV4aeGwQeOwLbHbOfRK03W680adiWQtz169bmPOfJ7O0zfnPk+z6dUuRxTBt2jTGjRuXpW3evHmYGfPmzctsS0pKIikpKfPv5cuXk5yczM6dO4soUhGRCNm1Ab59C9oMhvLV/I5GpHSIr+Ld+PbQH17ilJbid0QixUK4SdOXwMfAZ2a2x8w2hCzrCxBDl8BjRinzk4GV2fT7Dkgws2JV0uV/Xy9jyu3D+PbjD7O0f/vxh0y5fRj/+3pZkcSRXdJ0xhlnsHjxYs4444wct1u+fDmjR49W0iQiJc+SSd4v4+1v8DsSkdKlTkvo+wRsWAyzVedLBMK/pukRYBjeNL3VwOFIHNzMGgD/B8xxzmVkF9WBddl0z/hWXw3Ym8P+hgBDABISEiIRYq52/bqF9x8dQ+qhQ0etS09LIz0tjfcfHcOghyZQtW69Qo8nVOXKlWnfvn2RH1dEpNDt3wlfToFT/gpVG/odjUjx1eXOY9uuVX/vxrdLJsLxiXDKhZGNS6SECXekaTBwr3OujXPucufcVaFLfg8cGDF6D0gF8r19dpxzzzjnEp1zibVq1YrELnO1bOa7pKem5tonPTWVZTOnFWocgwcPZsqUKWzatAkzw8xo3LhxttPzgk2ePJmrrvJe+mbNmmVuu27dukKNV0SkwJb9B1L2QcfhfkciUrx1vevIkl897oWGZ8J7w2Db6sjHJlKChDvSlA58GqmDmll5vGuUmgBdQiri/Y43mhSqetD6QvHJ5GfYtn5t2P03rf4el56ea5/0tDS+mfNfdvwS3gzG2o2a0HXwkLBjABg1ahTbt29n6dKlvP/++wDExcWxe/fuXLfr3bs3//znP7nvvvt48803Of744wGoV6/oR8VERMKWchA+fxr+1B3qnuJ3NCKlV0wsXBR049vr5kJ8Zb+jEvFFuCNNbwJ/jsQBzawc8BaQCPwlmzLm3+Fd1xSqJbDBOZft1Dw/5JUw5bffsWratCm1atUiNjaW9u3b0759e04//fQ8t6tVqxZNmzYFoHXr1pnbxsXFFWq8IiIFsuI12LcdOo3wOxKR0q9yPbjoBdi5Ft67EZzzOyIRX4Q70vRf4FEzqwLMIpvRHufc3Lx2YmZRwCtAN+A859ySbLq9D1xlZl2cc/MD21UG+gCvhhnvMcnvCM8Tgy/i8IEDefaLLV+Bi+8Ze6xhiYhIhvQ0WPQE1D8dGnf2OxqRsqHxWdBjNHz0T+/fXydNi5WyJ9yk6d3A4zWBJYMDLPAYHcZ+JgIXAfcD+8wsuErBL4Fpeu8Di4GXzezvHLm5rQEPhRlvkWjRuSvffvwh6WlpOfaJio6mReeuRRiViEgptnom7PwZLprsVc4TkaLRYZhXGGLOPd6Nb0842++IRIpUuElTpL71Z0zxuzuwBBsNJDvn0s3sPOBh4EkgHi+J6uqc2xihOCIisXc/vpv/ce5JU0wMib0vKMKoRERKKedg4WNQrTG06Ot3NCJlixmcPxG2rYK3roahn0Ll+n5HJVJkckyazKy+c24zQMY0uYJyzjUOs99O4OrAUmxVrVuPviPv4v1Hx5CempoleYqKjiYqJoa+I+8qknLjcXFxHAhjqmB22wHHtK2ISJFavwg2fQm9H4GocCY3iEhExR3n3fj22W7wxiAYPNMrFiFSBuRWCOIXM/vCzP5hZi2LLKIS5oTTExn00ARandMrS3urc3ox6KEJnHB6YpHE0bJlS3bu3MmkSZNYunQp334bWl8j5+0AJk6cyOLFi1m2bBmHD0fkNlwiIpG1cDxUqAGtL/c7EpGyq9ZJcP4E+OUL+Ch00pBI6ZVb0tQR+Bi4AlhpZmvM7CEz61A0oZUcVevWo/s1We9I3/2aG4r0hrbXXnstl1xyCf/4xz9o164dffr0CWu70047jeTkZKZPn85ZZ51F27Zt2bx5cyFHKyKST9tWwY8fQruhUK6839GIlG0n9/OucfriGfjmDb+jESkS5sIoHWlmzYELgPOBdsA2vPssvQt87JwrdkMTiYmJbtmyZTmuX7VqFS1atIjoMR+5+LzM57dNnRHRfZc2hfH6i0gpNu1G+O5dGPkdVKied38RKVxpKfDi+bDpK7h2ju6ZJiWWmX3pnMtzalhYhSCcc6uBscBYM6vLkQTqXeCQmX0IvOuce60AMZd4Hfpf6ncIIiKlz+5N3q/ZiVcrYRIpLqLLQf8XvBvfvnEFXPcJlK/qd1QihSbc6nmZnHO/Ak8BT5nZcUBvvCTqSaBMJ00dL9I8exGRiPt8Erh06HCT35GISLDj6sCAKTC5tzcafPHLEJXblR8iJVeBPtnOuT+cc6875y4BakcoJhEREc+BXbBssncNRbVGfkcjIqES2kPP+2HNTFj4qN/RiBSa3EqOdwtzHw44BKwDVEFAREQi58sX4PAf0Gm435GISE7OHOrd+HbufVD/DGgaqdt7ihQfuU3Pm4OXEIVzy3UHYGaLgb8657ZGIDYRESnLUg/BkknQpCvUO83vaEQkJ2bQZzxs/Q7evgaGzIeqDf2OSiSickua8vMzQXngROBvwOPAxQUJSkREhG+mwt6t0O8pvyMRkbzEVfKuaXomCd64Eq6eBTFxfkclEjE5Jk3Oufnh7sTMYpxzs8xsG/BYRCITEZGyKz0dFj4OdVt5I00iUvzV/BP0mwRTB8J/74A++koopUdYhSDM7PZc1sUAGXc2+wL4IAJxlUi7Z6/PXEREpAB++C/s+BE63eJN/RGRkqFFH+/f7ZcvwNev+B2NSMSEW3L8XjPb4px7KbjRzKKA1wlM5XPOrQWujmyIJccfH2/IfF6lh6o8iYgcs4WPQ5UEaHmB35GISH51GwWbv4KZt3qjxfVO9TsikQILt+T49cCzZtYroyEoYeoB/LkQYhMRkbJowxLYuAQ6DoPofN9OUET8Fh0Df30eylf3puod+N3viEQKLKykyTn3AvB/wJtm1s7MDHgV6AX82Tm3pBBjLPZSdxzg92k/ZWn7fdpPpO444FNE+WdmJCcnZ/6dnJyMaUqMiPhh4eNQvhqcPtDvSETkWFWqBQNehD2b4Z0h3nWKIiVY2De3dc49AEwGZgLTgN7AX5xziwontJLhwJqdbH3sK/Z9sSVL+74vtrD1sa84sGanT5GJiJRA23/wbpLZbgjEVvQ7GhEpiIZtodcY+PEj+PTffkcjUiBhJ00Bw4G5QDegt3Pus8iHVHKk7jjAzpdX4VLSIfQHlHRwKensfHmVbyNOhw4d8uW4IiLHbNHjEBPvJU0iUvK1vRZOvQTmjYEf5/gdjcgxyzFpMrONZrYheAHWA50D270ctASMDW8AACAASURBVK5Mlov7Y8EmXFruw80uLZ0/Fmwq9FgyptOtXLmSc889l0qVKjFgwACcczz66KOcdNJJxMbGUq9ePYYNG8aePXsKPSYRkXzZs8W7N1Pry6FiTb+jEZFIMIPzHoU6J3s3vv19nd8RiRyT3K6w/RhwRRVIcbBr+s8c3rwv7P6H1+3O+xVKh32fbyFl6/6w9hlbvyJV+zQNO4ZQ559/Ptdccw133HEHUVFR3H333YwZM4abbrqJPn368P333zNq1ChWrFjB/PnziYrK72CjiEiEfDLmyPOud8HnT0F6KnS4yb+YRCTyYivAxS/B00mBG99+BOXi/Y5KJF9yu7nt4CKMo2QKN6UswtRz+PDhjBgxAoCdO3dy7rnnMmjQICZMmADAueeeS61atbjiiiuYMWMGffv2LbrgRESCzR975HmHm2DZ89CiL9Q49h+ORKSYqt4ELnwaXrsEPvgbnD/B74hE8kW1XIPkd4Rn0z2LcIfS8uxncdHUHlo09yjo169f5vMlS5Zw+PBhBg7MWoHqkksu4aqrrmL+/PlKmkSkePhqChzaA52G+x2JiBSWk/4MZ//dKwpxfFtoM8jviETClts1TRfmd2f2/+zdd3xUVd7H8c+ZyaQQQgkd6RJ6SwgdpNfQ1ViDqKxuXNdd9dm1rAVXXX3cR9fddQkWRBFdiUqNIiKEmlATCSC9SC8SaiBkMnOeP24ISQjJBGZyMzO/9+t1X5nce2fmi4XkN+ec31GqnlKq+81F8h6VImuX3krDkndfOalXr17+48zMzGvOAQQEBFCjRo3860IIYbrUKdCkD9zS2ewkQghP6vcc3DrAGG06nGZ2GiFcVtKv/P9WSv2klPqtUiq8pBdRSvVRSn0A7Ab8ZtvnsD63oKwlV03KaiGszy3llIhCeyuFhxv/2o4dO1bontzcXE6dOpV/XQghTHf+CPT6o9kphBCeZrHC+I+gch1jfVPWKbMTCeGSkn7jjwBmY2xqe1wplaGU+kwp9Y5S6g2l1FSl1A9KqUxgWd79g7XWH3g+dsUQUCOE8Ptbo2yWa/9JWkDZLITf35qAGiGm5OvevTuBgYF8+eWXhc7PmjWL3Nxc+vXrZ0ouIYSfy9wLSU8VPhdc3VjzIITwfaE1IPZTuHAcZk8CZ+lLHYQwW0mNIC4Cf1VKvQmMA4YC3YH6QDBwCtgO/BOYpbXe7vm4FU9Iy3Dq/DGK8ysPk7Xm6ga3oV3rEdbnFtMKJjBGmp5++mneeOMNQkNDGTFiBNu2beOFF16gd+/exMTEmJZNCOGndi02Pl122Aufv3wOpvaC2BkQMdicbEKI8nNLZxjxd1jwB1j2Jgz4i9mJhChRqY0gtNY5wKy8QxQjoEYI1cc2L1Q0VR/b3MREV73++uvUqlWLqVOnMmXKFGrUqMGECRN44403pN24EKJ8Ze41CiZ7MVswaIdxPnECxK+WUSch/EHUA3BoPax4yyiiWg4zO5EQ16W09s2tmKKjo/WGDRuue33btm20bt3are956NmV+Y8bvNnHra/tazzxz18IUcElPQVpM8Bpv/49FpvRUSvm7fLLJYQwj/0STBsCp3+BR5fJByai3CmlNmqto0u7T4Ya3ChsYKP8QwghRBEZiSUXTGBcz5CJDUL4DVuIsfGtUjBrAuQUMxItRAUgRZMbVR3cOP8QQghRRM4F994nhPAN1ZvA7R/B8S2Q9CT46Cwo4d1kc1shhBCepzUEBEFudun3Blb2fB4hRMUSMRj6PQvL3oCGXaDLpNKfk/zG1cf9n/NcNiGQokkIIYSnHVgLi190rWCy2KDDXZ7PJISoeG77MxzeCAufhXqdoEEpy0yWv3n1sRRNwsNkep4QQgjPOLUHZsXBx0Pg9H4Y8KKxfqEkVhv0+F25xBNCVDAWC4x7H6rUMzppXjhpdiIh8rlUNCmlUpRScUqpIE8HEkII4eWyfoXv/gz/6Qq7l0C/5+H3aXDb/0DsZ2CrZIwoFWSxGedjZ0j3LCH8WaVwuGsmXDwF3zwEjlyzEwkBuD7SlAN8ChxRSr2jlGrlwUxCCCG8kf0SrHwb/hUJ6z+CyDh4Ih36PQNBeeuUIgYb+zB1fqDwczs/YJyXjW2FEPU6Qsw7sG8FJL9mdhohABfXNGmt++UVSo8AE4A/KKVWAgnAbK11KT1k/UNycnL+4/79+5uYRAghypHTYbQJX/oanDsMLUfAoMlQq2Xx94c3M/ZhWv/R1XOyL5MQoqDI++DQOlj1D7glGlqPNDuR8HMuN4LQWm8HnlJKPQfEYhRQXwC/KqWmAx9orfd6JqZ3WL58ef5jKZqEEH5h9xJY/DIc3wz1o2D8B9Ckt9mphBC+YPhbcDQD5sZDrVZQs7nZiYQfK3MjCK31Za31Z8AfgJVALeDPwE6l1FdKqbpuziiEEKKiObYFPhsHM8fD5XNw+zSYtEQKJiGE+wQEGescLQEw637IyTI7kfBjZSqalFIhSqmHlFLrgPVAbYziqT4QD/QEPnd7ygouMzOTpKSkQueSkpLIzMwstwxz587lnXfeuenX2b9/P0opPvnkE5efs2zZMiZPnozT6bzp9xdCVHBnD8Pcx2BqbzicBkP/Bo+vh/Z3GJ2vhBDCnao1hDumwcntMP8J2fhWmMbV7nntlVLvAUeAqcAvwCCtdRut9b+11se01h8CvwV6eS5uxbNr1y4SEhJIS0srdD4tLY2EhAR27dpVLjncVTTVq1eP1NRUYmJiXH7OsmXLeOWVV6RoEsKXZZ+DH1+Bf0fB5q+g5+Pwh5+M9uAB0lhVCOFBtw6AAS/Alq9h3QdmpxF+ytU1TZswCqZ3MdYuHb3OfbuBVHcE8waZmZkkJiZit1/bB8PpdOJ0OklMTCQ+Pp7w8HATEpZdUFAQ3bt3NzuGEKKicNhhw3RjE8mLp6D9ncZ+S9Ub3/xr93325l9DCOEfej8FhzbAouchtBbsX1X4etJTxoc5smWB8BBX51LcATTWWr9SQsGE1nqb1tpvOiCkpKTgcDhKvMfhcJCa6tk6cuLEiXz66accPnwYpRRKKRo2bEi1atV47bWrrTo3b96MUorevQuvOWjQoAF/+tOfgOKn561fv57BgwdTo0YNQkJCaNasGY899hgAkydP5pVXXgHAZrPlv78QwstpDT/Ph/90g4V/gtpt4JFlcPtH7imYAPo/d/UQQoiSWCwwbipUqgFfPwhpnxa+njYDEnrBrsXm5BM+z9WW47M9HaQiWLhwIceOHXP5/gMHDqBLmVvrdDrZsGEDJ06ccOk169aty/Dhw13OAPDiiy9y8uRJ1q9fz/z58wFjxOjll19m6dKlvPDCCwAsXbqUkJAQ1q1bR1ZWFqGhoezYsYPDhw8zYMCAYl/7woULDB06lK5du/LJJ58QFhbG/v37SUlJAWDSpEkcOnSIadOmsWrVKqxWa5myCyEqoIPr4IcX4OBao2PVvYkQMQTkAxEhhJkuZUL2WeOxs8imt067cSROMPZ8kxEn4WYuFU1KqZdKuOwEzgJpWuvVbknlJUormMp634269dZbqVWrFoGBgYWm1vXv35/nn3+ey5cvExQURHJyMg888AAzZsxg1apVDB06lOTkZAICAujTp0+xr719+3ZOnz7NW2+9RYcOHfLPT5w4ETBGqRo0aABAt27dCAhwuYu9EKKiObUHfpwM2+ZD5Tow6p/Q6X6wyv/XQogKIOU9Y1+4kjjskPof2ftNuJ2rPwknAxoo7mPGK+e1UioViNFan3VPvPJV1hGev/3tb+Tk5JR6X1BQEA8++OCNxrphAwYMIDs7m5SUFPr27cvy5cuZPn06e/fuZenSpQwdOpSlS5cSHR1N5cqVi32NiIgIqlWrxqOPPsrvfvc7+vbtS8OGDcv5TyKE8KisU7D8f2HDNLAGQb/njQYPQcX/vSCEEKbISDRGk0ritBubbUvRJNzM1TVNrTGaPDwNNAaC877+Ke98T+CuvPv+5v6YFVOHDh2wlNJi12KxFBqhKU8dOnSgRo0aJCcnk56ezrlz5+jbty/9+/cnOTkZrTXLli277tQ8gKpVq5KcnEz9+vV57LHHaNSoEe3ateObb74pxz+JEMIj7Jdg5dvwr06w/iOIjIMn0qHfM1IwCSEqnpwLrt13+YKxtuncEWlRLtzG1ZGm/wDTtNb/KHDuIPC2UsoKvK61HqiUagb8Hvidm3NWSD179mTTpk0lttq2Wq306NGjHFNdpZSib9++LF26lLCwMDp16kT16tUZMGAAL7zwAqtXr+bkyZP0719y745OnTrxzTffkJuby4YNG3jjjTeIjY1l06ZNtGvXrpz+NEIIt3E6jE9il74G5w5DyxEwaDLUaml2MiGEuL7AypBz3oUbNXx+h/EwpDrUaQd12l49arWGwEoejSp8j6tFUw/gjetcSwNeznu8AWPDW78QHh5ObGwsiYmJOByOQsWTxWLBarUSGxtbLu3Gg4KCuHTp0jXnBwwYwJNPPonVas0fUercuTOhoaFMnjyZwMBAevVybWutgIAAunfvzquvvsr8+fPZtm0b7dq1IyjI2KPl0qVLhIWFue8PJYRwvz1L4YeX4PhmqB8F4z+AJr1Lf54QQpitQ6zRJa+kKXoWG3S8BzrdA8e3wvEtcGyL8Tz7ReMeZYHwW/OKqAIFVbVGFafhTXKBX7ulw2iF4GrRdBYYCCwp5tqgvOtgTNs754ZcXiMiIoL4+HhSU1NZv359/vnOnTvTo0ePctufqU2bNmRmZpKQkEB0dDTBwcG0b9+e/v37Y7fbWbFiBc888wxgjH7ddtttJCUlcdtttxESEnLd101KSuKDDz5g7NixNG3alKysLP71r38RFhaWP4LWpk0bAN5++22GDx+O1WolOjra839oIfyBu35wHtsCi1+CPUugWmO4fRq0HW+08RVCCG/Q83HY9N+SiyarDfo8aXTPa9zz6nmnE07vyyuk8oqpo5vg57lX7wmqYmyvUKct1G1nFFS1W0OQCR8IL3/z6mMpmioEV4umj4HnlFJhwNfACYwRpTuB33J1FKobsMXdISu68PBwYmJiChVNMTEx5Zph0qRJrFmzhueff54zZ87QuHFj9u/fT5s2bahTpw6nTp3itttuy79/wIABJCUllTo1LyIigpCQEF599VWOHj1KWFgYXbp0YfHixfld80aOHMljjz3GlClT+Otf/4rW2uMdA4XwGzf7g/PsYUh+HX76AoKrwtC/QZdJEBDkvoxCCFEewptB7AyjrbjDXrh4stiMgil2RvHtxi0WqHGrcbQZffX85fNwYrtRRB3fYhRUm78yGuNcUb1JkSl+7aB6U/nQyc8oV365VUpZgL8CfwCuTAJVQBbwLvCS1lorpboCF7TWP3sor8uio6P1hg0brnt927ZttG7d2q3vOXny5GIfi2t54p+/ED5pctUCj8vQmDT7HKx+F1KngHZAt0ehz9PG/H4hhPBmmXuNtuLrP7p6rssko+unO/Zn0hrOHrw6InVldOrUbtB5SzFsla6OSuUXVG1u/u/YzL1Ga/WCRVv0w8Yom+w95RFKqY1a61KnSLm6ua0TeEEp9X9Ae6AecBTYrLU+U+C+dTeY1yf07dvX7AhCCH/nsMOG6cYI1cVT0P5OGPAiVG9sdjIhhHCP8GZGS/GCRZM7W4wrZaxvqtYIWhbYjibnIpzcXniK37b5kPbp1XuqNCjcdKJue2P9lCv73e1afHUUraC0Gca0xNgZEDHYPX9GUWal/htUSgUCs4B/aK1XACs9nspLlTbVTQghPEZr2LbA2Jw2cw806QNDXoX6kWYnE0II3xBYCW6JMo4rtIbzxwqMSuWNTO1ZAs5c4x5rENRude0Uv9CaV18nc69RMF1pVlGQM28qYuIEiF8tI04mKbVo0lrnKKUGAf8shzxCCCHK6uA6+OFFOLgGarWCexMhYkjF6QIlhBC+SimoUs84IgZdPZ97GX7dWXiK3+4f4afPr95Tuc7VAuroJsjNKfm9HHZjWqJs3GsKVxtBrAa6A8s8F0UIIUS+K/PaC0p6qvC89lN7jJGlbfONH76j/gmd7ndtGogQQgjPCQgypubVbV/4/IWTcGKr0dH0SkG1dio4SimYwBhtypglRZNJXP3J+jQwVyl1AZiLsZ6pUAeJvHVPXkVrjZJPYsuddNYTohSlzWsf/R4cXGssFLYGQb/njQXQQZXNySuEEMI1lWtB5X7QrN/Vcw47vFqLIr9aFy/ngmdyiVK5WjRtzvv6T4qfpqfL8FoVgs1m49KlS1SqJDtCl7dLly7lb4grhCjClXnt3zwEWKDzA9DvOQirU+4xhRBCuInVBoGVIed86fcGyodjZnG10PkrLpW/3qN27docPnyYW265hZCQEBlx8jCtNbm5uZw/f55ff/2VOnXklzwhipXy3rUjTNdQ0G48jHq3XCIJ4Q+Sk5PzH0tjJ1HuOsQaswlK2rjXYoMOd5VfJlGIqy3HJ3s4R7mrUqUKAEeOHMFuL+0XFOEOAQEBBAcH06hRI4KDg82OI0TFlJFY8g9NADTsWlQucYTwF8uXL89/LEWTKHc9HzemX5f097/VZkzFFqYo85Q6pVRloAZwRGvt1dVGlSpV8osnIYSoEFydry7z2oUQwneENzP2YbqynrVg8WQJAGugcV3ajZvG5aJJKTUSY5pex7xTXYA0pdRHwFKt9RceyCeEEP5F5rULIYRr+j5rdgL3ihhs7MOU+p/CG/fWaQt3fiIFk8ksrtyklBoLzAN+BZ4BCi4A2gc84OobKqUaKKX+rZRKVUpdVEpppVSTYu7T1zk6ufpeQgjhdTrEGvPWSyLz2oVwm8zMTJKSkgqdS0pKIjMz06REwmX9n7t6+IrwZte2FD9/HKo2MiePyOdS0QS8DEzXWg8Biq483gK0K8N7NgdigdPAylLu/QToUeTYWYb3EkII79Lz8dI3pZV57UK4xa5du0hISCAtLa3Q+bS0NBISEti1a5dJyYQo4MIxY2NcYSpXi6bWwKy8x0W76J3GWOPkqhVa6zpa6xHAV6Xce1hrvabIUUwfXiGE8BFOJygrKIsxj70giw1slWReuxBukJmZSWJiIna7Haez8FaTTqcTu91OYmKijDgJ84XWNjrrCVO5uqbpHFDzOteaACddfUNv3ARXCCHKxeULMOt+CKwEd82GLd8Untfe+QFjhEkKJiFuWkpKCg6Ho8R7HA4HqampxMTElFMqIfIUXK+Ve8nYjuL8cdmXz0SujjQtBp5TSlUrcE4rpYKAx4GFbk9miFdKXc5b+7RUKdXHQ+8jhBDm0hrm/x5+3QF3fAyNe147rz3mbSmYhHCTjIyMa0aYinI6nWRkZJRTIiEKKLheKzIOtAM2Sc81M7laNP0FqAvsAD7CmKL3LPAT0ACY7IFsM4HHgEHAIxhTAJcqpfpd7wlKqUeUUhuUUhtOnnR58EsIIcy3dipsnQ0DXoRm/cxOI4TPy8nJcet9QnhMzQho1BPSPjM+YBOmcKlo0lrvB6KAJGAw4ABuA9YA3bTWR9wdTGsdp7WepbVeqbWeCfQGjgCvlfCcD7TW0Vrr6Fq1ark7khBCeMYvKfDDC9BqJPR+0uw0QviFwMBAt94nhEdFxUHmHuPnhTCFqyNNaK0Paa0f1lo30FoHaq3raa0f1Fof9GTAAu9/HvgWY38oIYTwDeePwVcToVpjGDul9M55QoibdvDgQZQL/69ZLBY6dOhQDomEKEWbMRBUBdI/MzuJ33K5aKpAZFxSCOEbHHajYLp8Hu6aCcFVzU4khE+z2+388MMPfPzxx9hsNqxWa4n3W61WevToUU7phChBYCi0ux22zoXss2an8Uuuds9DKdUXuAdoBAQXuay11gPdGayY968CjATWefJ9hBCi3Cx+CQ6kwu3ToE4bs9MI4dMOHjzI3LlzOXXqFJ07d2bw4MEcPHiQxMREHA7HNU0hlFLExsYSHh5uUmIhioiaABunw+avocvDZqfxOy4VTUqpR4EEIBNjc9nLRW8py5sqpe7Ie9g57+twpdRJ4KTWerlS6n+AlkAyxjqmxsD/YDSjuK8s7yWEEBXS5q9hzRToFg/t77j+fQXbzgohysxut5OcnExqaipVqlQhLi6OW2+9FYCIiAji4+NJTU1l/fr1+c+pX78+R44ckSYQomKpHwl12hlT9KRoKneujjQ9DXwBPKS1dsffIEU3tZ2S93U50A+jS9+4vKMqxj5Rq4GHtdYy0iSE8G4nthntxRt2hyGvlnxv/+fKJ5MQPqi40aXg4MKTZcLDw4mJiSlUND388MNMmzaNpKQkGjVqRFhYWHlHF+JaShmjTQv/DMc2Q932ZifyK66uaboFmO6mggmttbrO0S/v+gKtdS+tdU2ttU1rXUNrPVoKJiGE18s+a2xgGxQGsZ+C1WZ2IiF8TsG1S7m5ucTFxTFq1KhrCqbrsVqtjBs3Drvdzrx589DS5llUFO3vBGuQ0X5clCtXi6aNgOyoKIQQN0NrmPsYZO6DOz+BsLpmJxLC5xw8eJCpU6eSkpJCVFQU8fHx+dPxyqJWrVoMHjyY3bt3s3HjRg8kFeIGVAqH1qMgYxbYs81O41dcnZ73BPC5UmqH1nqFJwMJIYTPWv0ubE+CoW9A455mpxHCp5S0dskVffv2veZcly5d2LFjB4sWLaJp06bUqFHDnZGFuDFRcbDla+PnSUlrYoVbKVeGnJVSB4EqQGXgInC6yC1aa93Y/fFuXHR0tN6wYYPZMYQQwrB3GXw2DtqMhTs+lv2YhHAjV9Yu3aizZ8+SkJBAzZo1efDBB0ttUy6Exzmd8K9OUL0xPLDA7DReTym1UWsdXdp9ro40LUH2RxJCiBtz9hB8/RDUbAGj/y0FkxBucrOjS66oWrUqI0aMYPbs2axevZrbbrvNra8vRJlZLBAZB8mvGdO9w5uancgvuFQ0aa0nejiHEEL4ptzLkDgBcnOMDWyDKpudSAif4MnRpaLat2/Pjh07WLZsGREREdSrV88j7yOEyzrdC8v+BukzYeCLZqfxC642ghBCCHEjvn8WDm+EcQlQM8LsNEJ4vZvtjHcjlFLExMRQqVIlZs+ejd1u99h7CeGSqrdA80Hw0xfgyDU7jV+4btGklJqtlGpe5NxTSqlaRc61V0pleCqgEEJ4rfTPYcPH0OuPRrcjIcRNcVdnvBtRqVIlxowZw8mTJ1m6dGm5vKcQJYqaAOePwJ4lZifxCyWNNI0Fwq98o5SyAn8HGha5rxLQ1v3RhBDCix3dBN8+BU1vgwEydUKIm2HG6FJxIiIiiI6OJjU1lX379pXrewtxjRbDILQWpM0wO4lfKOv0PFm9LIQQpbmYCbPioFINuP1jsLrac0cIUZSZo0vFGTJkCOHh4cydO5fsbNknR5jIaoOO98DO7+HCCbPT+DxZ0ySEEO7kdMLsR+DcEYidAZVrlf4cIcQ1KsroUlGBgYGMGzeOc+fOsXDhQlOzCEFkHDhzYdN/zU7i8+TjTyGEcKcVb8HuxRDzDjQoddsHIUQxDh48yLx58/j111893hnvRjRs2JA+ffqwYsUKWrVqRevWrc2OJPxVrRbQqIcxRa/nE7KlhQeVNtJU3N5Msl+TEEIUZ+cPsOxN6HgvRD9kdhohvE7B0SW73V5hRpeK07dvX+rVq8eCBQs4f/682XGEP4uMg1O74cAas5P4tNKKpgVKqQNKqQPAlRWP3105l3d+nmcjCiGEF8jcB7MnQd12MPId+bRPiDI6ePAg77//foVZu1Qaq9XKuHHjuHz5MgsWLEBr+UxZmKTtWAgMk4YQHlbS9LxPyy2FEEJ4M/slSIwzHsd+BrYQc/MI4UXsdjvJycmkpqZSpUoV4uLiKnSxVFDt2rUZNGgQixYtIi0tjc6dO5sdSfijwFBofztkJMLwNyG4qtmJfNJ1iyat9YPlGUQIIbyS1pD0FBzbDPd+BeFNzU4khNeo6GuXXNGtWzd27tzJokWLaNq0KeHh4aU/SQh3i5wAGz+BLd/I9HAPke55QghxMzZOh01fQN9nocUQs9MI4RW8ae1SaSwWC2PGjEEpxZw5c3A6nWZHEv7oliio3RbSPjM7ic+SokkIIW7UoQ3w3Z+h+WDo+4zZaYTwCt62dskV1apVY8SIERw8eJCUlBSz4wh/pBRExcGRNDi2xew0PkmKJiGEuBFZv0LiBKhSD8Z/ABb561SIkvjS6FJxOnToQOvWrVm6dClHjx41O47wRx3uAmsgpMtokyfIPk1CCFFWjlz4+kG4eAoe/gEqyRoGcVVycnL+4/79+5uYpOLwhbVLpVFKMXLkSA4cOMCcOXP4zW9+g81mMzuW8CeVwqHVSNj0JQx6BWy+9f+Y2eSjUSGEKKvk12DfCmMD23odzU4jKpjly5fnH/7O10eXigoNDWXMmDGcOHGiUPEsRLmJmgDZZ2B7ktlJfI6MNAkhRFlsWwCr/gGdH4TI+8xOIyqQzMzMa9azJCUl0bNnT5/pqFaWUTR/GF0qTosWLejcuTMpKSm0aNGCJk2amB1J+JOmfaFaI2PPpvZ3mJ3Gp5SpaFJK1QUaAdf8rae1XuGuUEIIUSH9uhvmxEP9KBj+v2anERXIrl27SExMxOFwFDqflpbGpk2biI2NJSIiwqR07lNw9Ox6RZM377vkLkOGDGHv3r3MmTOH+Ph4vygWRQVhsUBkHCS/Dqf3Q/UmZifyGS5Nz1NK3aKUWgocBlKB5ALHsryvQgjhuy5fgFn3Q0AgxM6AgCCzE4kKIjMzk8TEROx2+zXtpp1OJ3a7ncTERDIzM01KWH58sTPejQgKCmL8+PGcO3eO77//3uw4wt90uhdQkD7T7CQ+xdWRpgSgPfBnYDNw2WOJhBCiotEa5v8eft0BcXOgWkOzE4kKJCUl5ZoRpqIcDgepqanExMSUU6ryJaNL12rYsCG9e/dm5cqVtGrVilatWpkdSfiLyQe36gAAIABJREFUqg2g+SBI/xz6PQcWq9mJfIKrRVMf4AmttfQwFEL4n7VTYetsGPgyNOtndhpRwWRkZJS6oanT6WTTpk306dOH4OBgbDYbSqlySnjzSlqvlZWV5Zdrl1zRt29fdu3axfz582nQoAGVK1c2O5LwF1FxxrYYu5fIxutuorTWpd+k1BHgQa31Is9Hco/o6Gi9YcMGs2MIIbzdLynw6ShoMQzummlsIChEAZMnTy7zcywWC8HBwflHUFBQoe9LOxcUFISlnPYGK7heq2BxeOX9nU4nVatWZfTo0X4/ulScEydO8P7779O8eXPuvvturyqWhRfLzYF3WkPjHsbPLnFdSqmNWuvo0u5zdaTpQyAO8JqiSQghbtr5Y/DVRKjWGMZOkYJJFCswMJCcnJxS7wsICGDo0KFkZ2eTnZ3N5cuX8x9nZ2dz4cKF/Md2u73U1ytYQJWl4LpyBASU/itAwfVaRV0poCwWC3fffTf16tUr9fX8Ue3atRk4cCA//PAD6enpREVFmR1J+IOAQOh4tzFT4sIJqFzb7ERez9Wi6TAQp5RaAiwErlnNqrX+2J3BhBDCVA67UTBdPg9xcyG4qtmJRAXVoUMH0tLSSpyiZ7FYiIyMpEuXLi69psPhKLawKuncuXPnOHHiRP73pc0kCQgIKLa4Klhg7d69m9zc3FLzpqWl+ex6LXfo3r07O3fu5Pvvv6dp06ZUr17d7EjCH0RNgNT3jM1uez1hdhqv5+r0vJIna4PWWleoVWYyPU8IcVO+fw7WTIHbp8leF6JEmZmZJCQklDg6ZLPZiI+PL7f9mrTW5OTkuFxwFXfOlWLpiqCgIJ577jkP/om835kzZ0hISKBOnTpMnDix3KZXCj83bQhczITH18tsietw9/S8pjeZRwghvMfmr42CqVu8FEyiVOHh4QwcOLDY1tIWiwWr1UpsbGy5bnCrlCIoKIigoCCqVr2xUdLc3Fxee+01l+51ZXqiv6tWrRrDhw9n7ty5pKam0qtXL7MjCX8QNQHm/Q4OroVG3c1O49Vc+phDa/1LaYengwohRLk4sc1oL96wOwx51ew0wgvk5uaSnp5OpUqViIyMLHStc+fOxMfHe+XGtgEBAQQGBrp0r6v3+buOHTvSqlUrli5dyrFjx8yOI/xBm7EQWBnSZpidxOuVaWxYKdVOKfU7pdSLeV/beiqYEEKUu+yzxga2QWEQ+ylYbWYnEl5g1apVHD9+nNGjRzNmzJhC12JiYsp1hMndOnToUOo0MovFQocOHcopkXdTSjFq1CiCg4OZM2dOmaZACnFDgipDu9th6xzIPmd2Gq/mUtGklApQSs0ENgH/Bl7J+5qhlPpMKVWh1jMJIUSZaQ1zH4PMfXDnJxBW1+xEwgscO3aMFStW0L59e5/cvLRnz55YrSX/iLdarfTo0aOcEnm/0NBQRo8ezfHjx0lOTjY7jvAHURPAfhG2fGN2Eq/m6kjTy0As8BLG+qaQvK8vAXflfRVCCO+1+l3YngRDXoPGPc1OI7yAw+Fg3rx5BAcHM2zYsPzzffv2zT+8XXh4OLGxsdhstmtGnCwWCzabrdzXa/mCli1bEhUVxerVq/nlF1nhIDzsls5Quw2kf2Z2Eq/mave8fcB0rfVfi7n2EsbGtxWqWYR0zxNCuGzvMvhsnDH3+46PpcOQcMnKlStZsmQJd955J23b+vZs9czMTFJTU1m/fn3+uS5dutCjRw8pmG7Q5cuXSUhIACA+Pp6goCCTEwmfljoFFj0H8SlQx7f/viorV7vnuTrSVB9Iuc61lLzrQgjhfc4egq8fgpotYPS/pWASLjl58iTLli2jdevWPl8wgTHiVHQfJm9fr2W2oKAgxo0bx5kzZ1i0aJHZcYSv63AXWAMhTUabbpSrRdMR4Hq9MXvmXRdCCO+SexkSJ0BuDtw101gwK0QpnE4n8+bNIzAwkBEjRpgdR3ixxo0b06tXL9LS0tixY4fZcYQvC60BrWIg40vjZ58oM1eLps+Bv+R1zWumlApRSjVVSj0H/AWQslUI4X2+fxYOb4SxU6Cm97WEFuZYu3Ythw4dYtiwYYSFhZkdp1z50nqtiqJ///7UqVOH+fPnk5WVZXYc4cuiJsCl08b6XVFmrhZNk4GvMbrm7QIuALuB1/POX7PWSQghKrT0z2HDx9DrD9BmtNlphJc4deoUS5YsoUWLFn7ZZrt///75h3CPgIAAxo8fT3Z2NgsWLMCVteZC3JCm/aBqI9mz6Qa5urltrtb6XqA98DhGt7zHgfZa6/u01rLRgBDCexzdBN8+BU36wABp/ilc43Q6mT9/PlarlZEjR6Jk/Ztwkzp16jBgwAC2b9/Opk2bzI4jfJXFApH3G82PTu83O43XKdPmtlrrrVrrBK3163lft3oqmBBCeMTFTJgVByHhcMd0sAaYnUh4iQ0bNvDLL78wdOhQqlSpYnYc4WN69OhBo0aN+O677zhz5ozZcYSv6nQvoIzZFqJMrls0KaUaKaVsBR6XeJRfZCGEuEFOJ8x+BM4dgdgZULmW2YmElzh9+jSLFy+mWbNmREZGmh1H+CCLxcK4ceMAmDt3Lk6n0+REwidVawjNB8JPn4PTYXYar1LSSNM+4MpPhv1535d0CCFExbbiLdi9GIa/CQ27mJ1GeAmtNQsWLEApxejRo2VanvCY6tWrM2zYMPbv38+aNWvMjiN8VWQcnDsMe5aancSrlDQv5SFgT4HHsjJRCFFxJb9x9XH/5669vvMHWPYmdLwHoh8uv1zC66Wnp7N3715iYmKoVq2a2XGEj4uMjGTHjh0sWbKE5s2bU7t2bbMjCV/TcgRUqmE0hIgYbHYar3Hdoklr/WmBx5+USxohhLhRy9+8+rho0ZS5D2ZPgjrtIOYd2cBWuOzs2bMsWrSIxo0b07lzZ7PjCA/6x+Kd+Y+fHNzCtBxKKUaNGsWUKVOYPXs2kyZNIiBA1l4KNwoIND5AXDsVLpyUqeoucqkRhFJqqVKq1XWutVBKyfieEKJisl+CxDjj8V0zILCSuXmE19Bak5SUhMPhYPTo0VgsZeqdJLzEL6eyeGHuZv65ZFf+8cLczfxyyrw9kypXrszo0aM5duwYy5cvNy2H8GGRceDMNTa7FS5x9SdAP+B6rYLCANnlTghR8WgN3z4NxzbD+A8hvJnZiYQXycjIYNeuXQwcOJAaNWqYHadC+MfinfmHL0jecYJh767ky3UHC53/ct1Bhr27kuQdJ0xKBq1ataJTp06sWrWKAwcOmJZD+KjaraBBV2OKnuwN5pKyfGx2vX+it2JsdiuEEBXLxk+MDkF9n4EWQ81OI7zI+fPnWbhwIQ0aNKBbt25mxzFdRRyNuVm/nMrisZlpXLI7yHUW/hUn16m5ZHfw2Mw0U/+Mw4YNo2rVqsyZM4fLly+blkP4qKgJ8OtOOLjO7CReoaSW4w8qpVYopVZgFEwfXPm+wLEe+BRYWV6BhRDCJYc2wsI/Q/NBRtEkhIu01nz77bfY7XbGjBnj99PyKvJozM34cOVe7I6S23rbHU4+Wmleg+Dg4GDGjh3L6dOn+eGHH0zLIXxU23EQWNkYbRKlKmlloRO40sBdFfn+ilNAAvC/7o8mhBA3KOtXSJwAYXWNaXkWq9mJhBfZunUr27dvZ9CgQdSq5d8LpAuOxhSV69TkOo3RmO//2IfGNUI9lsORN/KTbXdwKSfvq91Btt3Jpbxzl3ONrwXPX3v/1WvpB07jLGVWUq5TMyf9MK+ObeexP1tpmjRpQs+ePUlJSaFly5a0aGFekwrhY4IqQ7vxsPlrGPYGBMum3SUprXvepwBKqWQgXmu9vbyCCSGESzL3Qsp7hc9N7Q1Zp2DSYqgUbk4u4ZWysrL47rvvqF+/Pj169DA7julcHY3519Jd/L5/xNVCpWCBklPwe0dekeMkO9dBdoFrl+wOLtmdZOc4yC5QAF22O8kpJcP1hNisBNssxtdAa973xtfSCqYrsnJyb+i93al///7s3r2b+fPnEx8fT2io5wpU4WciJxgjTVtnQ+eJZqep0FzqYam17u/pIEIIUWa7FhsjSg574fPnj4I1ELJOmpNLeK2FCxeSnZ3NmDFjsFrLNkL5y6ksPly5l1nrD2J3aGxWxV1dGvKbPs08Ogpzo7TWXLicy9lL9vzj3CU7Zy5e/f7LdQevWe9TVK5T883Gw3yz8bBL72u1qPzi5UpBExJofF81xEbdKkEFrhvXChU/V+4PuPq8gq9z5Z6gAEuJGxG3e3kRFy6XXhCFBprf7ttmszF+/Hg++OADvv32W+68807ZZFm4R4NoqNUa0j6ToqkUZfqbQCnVEWgJBBe9prWWCZFCiPKTudcomOwXi7/uyDGux6+WrnnCJdu3b2fLli3069ePOnXqlOm5yTtO8NjMNOwOZ36RYXdovlx3kG82HmbK/VH0b+n+TUq11lzMcRQqfM5esnP2ov2ac2cKFEZXzjlKKIisFlXi9YIU8HZsx5KLnbzvbdaKsUZsbGT9UovCAItiXOQt5Zjq+urWrUv//v1ZsmQJGRkZdOzY0exIwhcoBVFxsOh5OP4z1GljdqIKy6WiSSlVDfgW6H7lVN7Xgn/TSNEkhCg/Ke9dO8JUlMMOqf+BmLfLJ5PwWpcuXSIpKYk6derQp0+fMj3XHet+su2OQiM8+YXOxZxCRU5xxY/dcf1f+i0KqoTYqBpio1qIjSohNhpWD6HqlXOVbPmPr9xnnA8kNNBK+8k/uDYaExTA+KgGrv9DqwB+06cZ32w8TK7z2n9vVzi15q7ohuWYqmS9evVi586dfPfddzRp0oSqVauaHUn4gg53w+KXIf0zY22TKJarI01/A2oAt2F0yhsHnAUeAnoAd3sknRBCXE9GIjhLKZqcdsiYJUWTKNWiRYvIysri3nvvLfO0PFfW/VzOdfDIjI20rV+lUOFz5cjJvf7zlYKwoACqVQrML2rqVw25WgwVKHwKHZVsVA4MwGK58Wlc3jYaUxaNa4Qy5f6oa0YIwfgzWZTCqTX/8/UmZjzcldph10yyKXcWi4Vx48aRkJDA3LlziYuL8/vujsINQmtAqxjY9F8YNBkCgsxOVCG5WjQNBV4B1uR9f0hrvRFYppRKAP4ATPBAPiGEKF6Oi9vDuXqf8Fu7du3ip59+ok+fPtSvX7/Mz5+bfqTUdT9ODTuOnycrJze/qImoXTm/uCla8FQLuVoghQXfXOFzM1wZjbFZLUzq07QcU7lP/5a1+f6Pffho5T4+W/NL/vl7ujZiUp+mHMi8yCMzNhI7NZXPHu5Gw/BKJqY1hIeHM2zYMBYsWMC6devo3r176U8SojRRE+DnubD9W6OjnriGq0VTPWCv1tqhlMoGwgpcmw186fZkQghRksDKkHPetfuEuI7s7GwWLFhAzZo16du37w29RpYL09fAGDFa9cyAG3oPs5Q2GmOzWphyf1SFbHThqsY1Qnl1bDvCQwPzzz05uEX+tZmTuvHg9HXcOTWVmZO60rx22PVeqtxERUWxY8cOfvzxR2699Va/b40v3KBZf6ja0OikJ0VTsVwd0z0GVMt7/AvGlLwrmrs1kRBCuKKpC+tOLDbocJfnswivtXjxYs6fP8/YsWMJCLixLmmhQa49ryJ0YbsRV0Zj7unaqND5e7o24vs/9vFIgwszPDm4Rf5RUOfG1Zn1aA9ynZo7p6aSceiMSQmvUkoxatQobDYbs2fPxuG4/kigEC6xWCDyfti7DE7/Uurt/sjVomkVV5tAfAa8rJR6Xyn1H+DvwCJPhBNCiGJtnWO0G6eUKUtWG/T4XblEEt5n7969bNy4ke7du9OgwY01Mci2O6hbtfS1Lt667ueKK6MxfxgYkX+8OradV48wlUXrelX4+rc9CA0K4N4P15K655TZkQgLC2PUqFEcPXqU5cuXX/e+5OTk/EOIEnW6z/j60+fm5qigXC2aXuFqYfR34D9ADHAPMB/4vatvqJRqoJT6t1IqVSl1USmllVJNirkvWCn1d6XUUaXUpbz7b3P1fYQQPmrt+/DVg3BLFNzxMdgqGSNKBVlsxvnYGdJuXBTr8uXLzJ8/n/DwcAYMuLEpcwdOXeT2hBR2n7hAQClrjrx53U9B1xuN8QdNaoby9W97Uq9qMA9MX8ePPx83OxJt2rShY8eOrFy5kkOHDhV7z/Lly/MPIUpUrSHcOgDSP4cS1jH6K5eKJq31Hq31yrzHdq3101rrBlrrcK31vVrrsnzk0hyIBU5jdOK7nmnAb4CXgJHAUWCRUqpTGd5LCOErtIYfJ8PCP0PLETBhnjHvOn41dH6g8L2dHzDORww2Jaqo+JYsWcKZM2cYM2YMNput9CcU8ePPxxn575UczLzIRxOi+fCBaEJs1muKp4C8jVy9fd2PMNStGkzioz1oXTeMR2duZE568YVKeRo+fDhVqlRh9uzZ5OTkmB1HeLuoODh3CPbIyGRRZvSpXKG1rqO1HgF8VdwNeZvo3gs8qbX+UGu9BKPQOgD8tfyiCiEqBIcd5sbDqn9A5weNESRbiHEtvNm1LcVj3pYRJnFdv/zyC+vWraNr1640bty4TM/NdTh5c+F2Js3YQKMalfj2iT4MalOn0LqfykEBKAWVgwJ8bt2PgOqhgXz+m+50bRLOk7M2MSN1v6l5goODGTt2LJmZmSxevNjULMIHtBwBlWpAumy/WpTLq1KVUq2BO4CGQNEJ3Fpr/cC1z7qW1rrkzSwMowE7MKvA83KVUl8CzyqlgrTWl11LLoTwapcvwFcPwO4fof9f4LY/GW3IhLgBOTk5zJs3j2rVqjFw4MAyPffE+Wx+/0U6a/dlcl+3Rrw4sg3Btqt7Ol1Z9/Pq2Hbuji0qmMpBAUx/sAuPf5HOS/O2cvainccHNEeZ9HdT06ZN6dGjB6mpqbRs2ZLmzaVHl7hBAUHGZrfrPoCsXyG0ptmJKgyXRpqUUhOAzRhT5WKAPsUc7tQW2Ke1vljk/FYgEOnYJ4R/uHASPh0Je5bCqH9B3z9LwSRuyrJly8jMzGT06NEEBbm+geOavaeI+dcqMg6d5Z3Yjrw+rn2hgkn4n2Cblan3RzE+8hbeXryT17/dhtYl79flSQMGDKBWrVrMnTuXixeL/vokRBlExRmbw2+SHYUKcnV63ovAPKCW1voWrXXTIoe758GEY6x5KiqzwPVrKKUeUUptUEptOHnypJsjCSHKVeZe+HgInNgOd39x7bolIcro0KFDpKam0rlzZ5o1c+3HltOpSVi2h3s/XENYcABzf9eL8VE31mlP+J4Aq4X/u7MjE3s24aNV+3jmmwwcpWx07Ck2m43x48dz8eJFvv32W1MyCB9RuzU06GLs2WTiBwEVjatFU11gitba/M0JSqC1/kBrHa21jpaN3oTwYkfSYdoQuHQaHpgPLYebnUh4udzcXObNm0dYWBiDB7vWIOTsRTuPfLaR//1+O8Pb12P+471pWdf8jU1FxWKxKF4e1YYnBkaQuOEQj3+RxuVcczqP1atXj379+rF161Y2b95sSgbhI6ImwK874NB6s5NUGK4WTauB1p4MUsRpoHox56+MMGUWc00I4Qt2L4HpMRAQAg/9AA27mp1I+IDly5dz8uRJRo0aRXBw6fsqbTl8lpHvrWT5zhNMHtWG9+6JpLKLm9gK/6OU4qnBLXhxZBsWbjnGpE83cDEn15QsvXr1okGDBixYsIDZs2cXupaUlERmpvwKJVzQdhzYQiHtU7OTVBiuFk2PA48ope5RStVQSlmKHm7OtRVoqpSqVOR8GyAH2O3m9xNCVASbZsEXsRDeFB7+AWqVYS+Yvs9ePYQo4OjRo6xatYqOHTsSERFR4r1aa75Ye4DxCSk4HJpZj/ZgYq+mpi3wF97l4d5NeeuODqze/Sv3f7SWsxft5Z7BarUSGRlJTk4OGRkZha6lpaWRkJDArl27yj2X8DJBYca2HlvmwOXzZqepEFwtdg4B6cBM4ARGZ7uCh7s3BlgA2IA7r5xQSgUAdwE/SOc8IXyM1rD6nzDnEWjUAx78DqrUK9tr9H/u6iFEntzcXObOnUtoaChDhw4t8d6LObk8nbiJ5+dsplvTcJKe6ENUo+ImPQhxfbHRDZlyXxRbDp/jrg9SOXE+u1zfPzMzk++//77Ya06nE7vdTmJioow4idJFTQB7FmyZXfq9fsDVuQYfYhQsc4Ht3GSRpJS6I+9h57yvw5VSJ4GTWuvlWut0pdQs4F2llA3YB8QDTYH7bua9hRAVjNMJi56HtQnQdjyMm2q0PBXCDVavXs3x48e5++67qVSp6OSFq/acvMBjM9PYeeI8Tw5qweMDmmO1yOiSuDHD2tXj44k2HvlsA3dOTWXmw91oGH79//7cKSUlBYej5DVVDoeD1NRUYmJiyiWT8FINukCtVpD+mTRjwvWiaQzwJ631P930vkU3tZ2S93U50C/v8YPA68BrQDVgEzBMa53mpgxCCLPlXoY5j8LWOdD9MRjyOljM2HNb+KLjx4+zfPly2rVrR6tWra57X1LGEZ75OoMgm5UZD3WlT4Q0EhI3r3dETWZO6saD09dzx9QUZj7cjYg6nm8kkpGRgdNZ8paYTqeTjIwMKZpEyZSCyDj44S9wYpvRVc+PufrbSRbws7veVGutrnP0K3DPJa31U1rrulrrYK11N631MndlEEKYLPsszLzdKJgGvwpD/yYFk3Abh8PBvHnzCA4OZvjw4rsv5uQ6mTx/K49/kU7LumEk/b63FEzCraIaVWfWo91xaoh9P5VNBz3fhDgnx7XJQK7eJ/xcx7vBYoO0z8xOYjpXf0OZDtzrySBCCD9y7ihMHwEHUmHcB9DrCdm0VrhVamoqR44cYcSIEYSGhl5z/ciZS9z1QSqfpOznoV5N+fKRHtSvFmJCUuHrWtWtwte/7UHl4ADu/XANKXt+9ej7BQYGuvU+4edCa0KrEbDpv8bsED/matH0C9BPKbVYKfW0UuqhoocnQwohfMjJnTBtMJzeD/cmQse7zE4kfMzJkydJTk6mVatWtG3b9prrK3aeZOS/V7Hr+AWm3BfFS6PaEBggo5zCcxrXCOXr3/akfrUQJk5fz+Kfj3vsvTp06IDFhVH7Fi3K0J1U+LeoCXApE3Z8Z3YSU7n6UyIBaAwMBP4OfFTk+NAj6YQQvuXgOvh4CORmw8RvoflAsxMJH+N0Opk3bx42m42YmJhCrcIdTs27P+7kgenrqB0WxPzHezGifRm7NApxg+pUCSbx0R60rleF387cyJz0Qx55n549e2K1Wku9b9u2bWzcuBGttUdyCB/SrD9UaQBpM8xOYipXi6ampRzNPJJOCOE7tn8Hn46GkOrGHkz1O5mdSPigtWvXcujQIYYPH05Y2NVF95lZOUycvo53f9zFuMhbmPNYL5rVqmxiUuGPqocG8vmkbnRrGs6Tszbxacp+t79HeHg4sbGx2Gy2a0acLBYLNpuNsWPH0rBhQxYsWMCsWbPIyspyew7hQyxWiLwf9iTDmQNmpzGNKu0ThryW3yOADK31vnJJ5QbR0dF6w4YNZscQQgBs/ASSnoR6nYwpeZVlsb1wv8zMTKZMmULTpk25995780eZ0g6c5nefp3EqK4dXRrfl7i4NZbNaYapsu4Pf/zedxT8f56nBLfj9gOZu/28yMzOT1NRU1q9fn3+uS5cu9OjRg/DwcJxOJ2vWrGHJkiWEhIQwduxYmjdv7tYMwoecOQDvdoC+z/jcfohKqY1a6+jS7it1pElrbQcSgSZuyCWE8Cdaw7I3YcEf4NYB8MACKZiERzidTubPn4/VamXkyJEopdBaM331PmKnphJgVcyO78k9XRtJwSRMF2yzknBfFOOjbuGdxTt57dttOJ3unSYXHh5+TUvxmJgYwsPDAWPUqWfPnvzmN78hJCSEmTNn8v3332O3292aQ/iIao3g1v7w0+fgLHkfMF/l6vS8vUBtTwYRQvgYRy4k/RGWvQEd74V7voQgmQ4lPGPjxo3s37+fIUOGULVqVc5n23n8i3ReWfAz/VrWJunxPrS7parZMYXIF2C18H93dGRizyZMW7WPP3+TQa6j5P2VPKFu3bo88sgjdO3alTVr1vDhhx9y/LjnGlUILxYZB2cPwt5ks5OYwtWi6S3gL0op+YhYCFG6nIuQGGdMy+vzNIydAlab2amEjzpz5gyLFy+mWbNmREVFsf3YOca8t5rvtx7j2eGt+HBCZ6pWkv/+RMVjsSheHtWGPw6K4OuNh3j8i3Qu55b/p/g2m40RI0Zw3333kZWVxQcffEBqamqpm+QKP9MqBkLC/XbPpgAX7xsAhAP7lFJrgKNAwXFkrbV+wN3hhBBe6GIm/Pduo1Pe8L9Dt0fMTiR8mNaaBQsWoLVm1KhRzEk/zPNzNhMWbOPzSd3o3qyG2RGFKJFSij8OakGVYBt/TfqZhz/ZwPtxnQkNcvVXNPeJiIggPj6e+fPns2jRInbt2sXYsWOpUqVKuWcRFVBAkLHZ7boPIetXYw8nP+LqSFNvwA6cBG7N+75PkUMI4e/OHICPh8KRdLjzEymYhMelp6ezZ88e+g0YyFvJh3gqcROdGlbj2yd6S8EkvMpDvZvyf3d2JGXPr9w/bS1nLuaYkqNy5crcc889jBw5kgMHDpCQkMC2bdtMySIqoMg4cNohY5bZScqdSx9jaK2bejqIEMLLHdsCn99hTM2LmwNNepudSPi4c+fOsWjRIurWb8Ab63PYcuQU8f1u5enBLQiwyma1wvvc0bkBYcEB/P6LdO56fw2fPdyV2lWCyz2HUoro6GiaNGnCN998w6xZs4iMjGTYsGEEBQWVex5RgdRpA7dEG3s2dX8M/KixjvxUEULcvH0rYfpwQMFDC6VgEh6ntSYpKQl7roNPj9TkQOYlPpoQzTPDWknBJLza0LZ1mf5gFw6evsgdU1M5mHnRtCw1a9bk4Ycfpnfv3qSnp/NYIf85AAAgAElEQVT+++9z6JBnNuUVXiRqApzcDof8a2sfl3+yKKUqKaUeV0p9pZRakvf1MaVUiCcDCiEquK1zYOZ4CKsHkxZDnbZmJxJ+4KdNGezcuZM12fWoUaMG3z7Rh0Ft6pgdSwi36NW8Jp9P6sbZS3ZuT0hh5/HzN/xaffv2zT9uREBAAIMGDWLixIk4HA6mTZvG8uXLcTj8s+20ANqNB1sopH1qdpJyVermtgBKqbrAMqAF8AtwDKgLNAZ2AP201hWqP6VsbitEOVj7Pix8Bhp2g3v+C5XCzU4k/MD+Y6f46P2pZDoCqdZpKC+NakuwzWp2LCHcbsex88RNW0uOw8knD3alU8Nqpua5dOkS3333HZs3b6Zhw4aMHz+e6tWrm5pJmGTe72DLHPifHRAUZnaam+K2zW3zvAVUB/porZtqrXvkrXPqDVQD/vfGowohvI7WsPhlWPhnowXphLlSMIlysWbvKd54/wuUM5feA4fxt/EdpGASPqtl3TC+/m1PwoIDuO/DNaTs/tXUPCEhIdx+++2MHz+eEydOkJCQwKZNm3DlA3jhYyIngD3LmG3iJ1wdaToJPKO1/riYaw8Db2qtK9QeTjLSJMoscy+kvAcZiZBzAQIrQ4dY6Pk4hDczO13F4bDDvMch40uIfghG/B9Y5JdW4VlOp+b9FXuZtTiFfrY9dOjam/EjBpkdS4hycfxcNhOmrWPfqSzeuyeSIW3rmh2J06dPM2fOHA4cOEDbtm0ZOXIkISGyYsNvaA3/6QbBVY2p+V7M3SNNlYEj17l2KO+6EN5r12JI6GV0g8k5D2jja9oM4/wu7/4LwW0uX4Av7jIKpv4vQMw7UjAJjzt70c4jn23k3e83c1vwQerUrceYof3NjiVEualTJZhZj3anTb0qxH+exjcbS2/GkHPgAEdfeYXt7TuwrVVrtrfvwNFXXiHnwAG3ZKpevToTJ05kwIABbNu2jYSEBPbt2+eW1xZeQCmIioND6+DEdrPTlAtXi6YdQNx1rt0P+Mc/LeGbMvdC4gSwXzT2HijIaTfOJ04w7vNnF07AJzGwdxmM+hf0/ZNftRoV5thy+Cwj31vJ8p0nmNTkLAE6l3Fjx2C1SrEu/Eu1SoF5GzaH8/RXm/hk9fULlAsrVrB3zFjOfPU12m78XNN2O2e++pq9Y8ZyYcUKt2SyWCzcdtv/s3fe8VHU6R9/z5ZsyaZACjWBNDoJNRGQeipiAywI3inWU7FeVa+p551e/d15Z+MOxXaKHgIqdj1CEDBBgVBCCwmkUEI2ySbbsmW+vz8mpEDKBpJsEub9euU1s7uzM8+QsDufeZ7n88zgjjvuQKfT8dprr/HFF1/g8/k6ZP8q3ZzUxaDRw443gh1JlxCoaPoLsESSpC8lSbpdkqR5kiTdJknSZ8BNwJ87L0QVlU5my3NKyVlr+L2w9fmuiac7UlEAL18Gpw7A4rdg4tJgR6TSyxFC8FZ2Ede+uAW/X/DsvH44ThQyffp0+vcPfmmSikowCDXoeOXWycwd3Y8nPszj2S8PndVP5CkqouShhxEuF5wpXnw+hMtFyUMPd1jGCWDQoEHcc889TJw4kc2bN7NixQpOnTrVYftX6aZYYmD4PMh9G3zBGcbclQQkmoQQbwL3AGOAFcBHwMtAKnCPEOKtTotQpftRUQDrfwxPD4YnIpXl+h/3jEyMxwlVRVC6HQ59CbmrYMebZ2eYzuQCnX4NKP9WKy4Ftw2WfgjDLw92RCq9HKfHx0/ezeUXa3eTkdCX1T+cRN43G4iNjWX69OnBDk9FJagYdFqev2kC100YzN++PMhv1+chyw3CybpyZX12qSWE14v11Y61iw4JCeHqq69m8eLF2Gw2li9fTk5OjmoS0duZsBScVjjwcbAj6XRaNIKQJCkVOCiEcDd6TgMMB/oCFcABIYTcFYG2F9UIopM49IVSqub3NhUaGj1o9bDodUi5tGtikWVwV4GzApzl4ChX/uM6y8FRt3RaG553lIPPdX7HnPMrGJwOgyaC4QJo5cv/Et65BcxRcPMaiE4JdkQqvYCjVgf/3lTAuh3HcNT6CDXoWDB+IHdNT8QnC5a9uZ2DZTU8/L1h3D8nmQ8/eJ/c3FzuuusuBg4cGOzwVVS6BbIseOqjPFZuPsL1Ewfzh2vHotNqODBxErLD0eb7NRYLw7/d1imx1dTUsG7dOg4fPkxKSgrz58/HYrkAvjMvRGQ//D0VYoYr1wk9kECNIFoTTX5gihAiR5KkAmChECK3g+PsNFTR1AlUFCimCN5WppPrzXDv5nNzm/N7m4qcevFjPUMUNdpGtDBcTx8KoVHKxb45GkKj69aj6tajG9aXz1Dc8tpC0sDpewSSBmJHQ9xkRUTFpSvn3Jt6fHJXKXMYYkbCD1ZDmFoSpXL+bDhQxrI3t+P1y/ga3R3XaSQ0koRGArNBx7OLxzE9JYb8/HzefPNNLr74Yi65RHXLU1FpjBCCf3yVz9++PMhlo/rxjyXjKUwdqzibtYUkMXJfXqfFJssyOTk5fPHFFxiNRubPn8+wYcM67XgqQWTD07DxT/DwboiMC3Y07SZQ0aRr5TUXcNo7cihg6IC4VHoy7en9ueIv4HG0In7KlQxR/bpVKf9qCVOfBvHTNxEGTz5D/EQ1FUL6dtiept6ouOS1VqKn0St9PHN+BSXfKW4xxTmwezV8W+fEb45S4ho8WRFRAyf0zGyUELD57/DlE5AwA258U7EUVVE5T45aHSx7czsu79k3OxQBJdBI8PoPJpCeEIXb7eaDDz4gOjqamTNndn3AKirdHEmSeOiSFMJNOp78MI9lyzfyM70ePIH1l5z43e+xzJqFOX0ympCQDo1No9Fw0UUXkZCQwJo1a3jrrbeYPHkyl156KSEdfCyVIDPu+4po2vkfmPVosKPpNFrLNH0DaFH6l36D0svUkselEEI81SkRniNqpqkTeHpwnR13W0igM4DP3fzLGn2jjE+jpTn6bPFjjlYEk7Y1fX+enE8GTfYr5gglOVC8TVmWH1Rek7TQb1RDJmrw5O6fjZJl+OwxyH4JxlwHC15UfpcqQePUP5+rX4954P4gRnL+/GrdblblFDfJMJ2JTiOxJD2epxaMYf369Xz77bfccccdxMX1vLuXKipdhWv3bnY89wqmr7/C2NbNTQCNBl3//vitVkRtLRqzmdBp07DMmoVl5gx00dEdGp/P5+Orr75i69atREdHc9111zFgwIAOPYZKkHl9AVjz4aHcHjeKpCPK8y4CXgGGAVLdT0sIIUS3+hdSRVMn8EQkEGBD59QHziiNiwZzX2XdEN79hENH9mo5K6Dk24ZsVOl3DeV/5ui6TFRdWd+gCRAS2vHncy543bD2bshbBxfdB5f9DjSBGmyqdBb7RoysXx+5f18QIzl/xjz+Gfbatq2ILQYdHyxN4fXXX2fKlCnMnTu3C6JTUelZyE4nto8+omrVO7j37kUym6mZNoe/18Tys2/fxNCKm5lkMpH4/jp0MTE4vvkGe+ZG7JmZ+E6eBMCYmkrY7FlYZs3CMGIEUgd9Zx8+fJh169bhcDiYM2cOU6dORaN+z/QO9rwHq2+HH6yB5O8FO5p2cd6iqdGONIAPmAbktLSdEC01lwQHVTR1ELU1cPAz2LMGDnwU2HsMYfBY24P3uh0VBUpp4a53FJETYlFK96bcd249WqeR/VC2r2k2ypqvvCZpod9oiMtoyEb1Gdp5onLDMw3rsx9rWHfbYNX34cgmRSxNfaBzjq8SMJ6iIqwrV1L19qr65yKXLCbqttsIiY8PYmTnhs8vk/LLTwK67aKX/NzXrwBJkrj33nvVUh4VlUbUHjpE5ap3sL3/PrLdjiElhcgli4m4+mq0YWFsyS/nn8+8zs+/eRWt7EffyK/LK2nwa3Q4f/kU0266psl+hRDU7t9PzYYN2DM34t61CwBdv35KBmr2LEIvugiN0Xhe8TudTj788EP27dvH0KFDWbhwIRERagl4j8dXC38dDomz4IZXgxxM++gw0VS3s6XAeiGEtSOC6wpU0XQeeBxw6HNFKB36XCmzCxuolMmd2t+y+QI09P5c+deui7cn4qyAkm1KJqokR7H1Pp2NCo2pK+mry0YNHA8h5o457hONvpieqOshqz4Gb16vlBUueAFSF3XMsVTOGXtWljJnxettOmdFp0PS6xn87N+xzJgRvAADQAhBfpmdzfnlfJ1vJbvASk0AWSaAaYZiUqQT3HrrrQwdOrRzA1VR6QHIHg81n31O5TurcH37HZJeT9jll9NnyWJM48c3yQQdtTq47G9Z9LWVsTA/iznF2zH5anHpDPwvbgJrk2dQFdmPTx+ezpColisdfKdOYc/ahD0zE8fmzchOJ5LRSOhFF9WLKH2/fud0PkIIduzYwSeffIJWq+Wqq65izJgx7d7Phg0b6tdnz559TrF0V3rkuX3yKGxbAT85oLRb9BA6VDQ12mk0cBEQBXwohKiQJMkIeLqb9bgqmtqJ16XYS+9ZAwc/Vfp7QmNh9AIYfa2SCak60rnueRcysh/K8upEVJ2YqjisvKbRQb8xdZmoOjEVOaR92aiKAsXI49uXG56bdAeMuBI+fAhclXDjG5A0p2PPS6XdeIqKKJi/QBlM2QKnS2u6W8bpuM3F5nwrW/LL+Tq/nLKaWgDi+5qZlhxFSYWLrQXWVnuaBmjtXKbfR/rkyVx55ZVdFbqKSrfEU1xM1TvvUPXeGvyVlejj4+lz441EXLsQXZ8+zb6nvb2DgSB7PDhztmHPzMS+YQPe0lIADKNGEjZLKeMzjhmD1M5SO6vVypo1aygtLSU1NZUrrrgCYzsyWU888USz6z2ZiooKtmzZQuNr2EmTJjF16lT69u0bxMgC4OReeHEqzH0GpiwLdjQB0+GiSZKkPwMPACEojS2ThRDbJUn6DPhaNYLogfhq4fD/6krvPlYyHeYoGDUfRi+EIdPObubrTnOaejsOqyKg6nujtoO3bvZGaGxDOV9cXTaqJcfAln5nklbJGhoiYOkHMHBc55+TSpscf/JJqv67ummG6Ux0OiIXLWLAb37ddYE1g83pZWuBlS2HFZFUcEr5++wbGsLUpCimJUczLSma+CglU3rU6uDyv29q1j0PQIvMfMNeBoaH8MD992EwqCYkKhcewufDnplJ5ap3cHz9NWi1hM2ZTeTixYROmdKmMGlP7+CeJ9vfLyiEwJOfT01mJvbMjbh27ABZRhsdjWXmDCULNXUqmtDA+nX9fj9ZWVlkZWURERHBtddeS3yAN4R6m2g6dOgQ7777Ln6/H1luyEVoNBq0Wi2LFi0iJaWbz0v89xzwOGHZ1u7Xv94CHV2e9wvg18BTwBdANjCpTjTdD9wshMg4z5g7FFU0tYDPA4UbFaG0/yOotSlldyOvVoTS0BltO9V1Vu+PSuv4fUo2qnFvVEWB8ppGB/3HNnXqi4yHysK2s4M6o/Lhpv7uugXdYTBlS7i9frYfreTr/HI2H7ayu6QKWYBJryUjsS/TkqKZlhzNiP5haDTNf1m2Nqdpoq6YkZrj3HzzzSQlJXXVaamodAu8J09S9d/VVP33v/hOnkTXrx+Ri24g8vrr21UGl/DoRwH1DkoSFD5z/tlcX2Uljk1KGZ9909fINTVIej3m9HQss2djmTWLkMGD2txPUVERa9aswWazMX36dGbOnIlW27rHWG8STRUVFbz44ot4vS27H+r1eu69997unXH67lWlguXOr2BwmzqkW9DRoqkA+LcQ4hlJkrSAlwbRdDnwphCiY/0pzxNVNDXC74MjWYpQ2vchuKuU7MLIqxShlDhLyRKp9Dwc5Y16o7YpTn2nBZKlnyKIbMUNQ3mbQ+1D61bsGzkqsMGUQN/bbyc0Ix3TxEloLR3vwuiXBXuP2dicb2VzfjnbjlRQ65PRaiTGxUXWZZKiGB/fhxBd4GU5R60OVmwqZO2OUhweH6EhOhYOM6HL38D48eO55ppr2t6JikovQMgyjq1bqVq1ipr/bQC/n9CLL6bPksVYZs5E0rV/3EagmSadRuLzH80gMabj5gkKrxfn9h31ZXyeI0cAMKQkY5k1G8vsWZjS0pBaEENut5tPPvmE3NxcBg0axLXXXktUVMu9Mb1JNK1fv57t27c3yTCdiUajYeLEid27dNldrRhCjL0ervlnsKMJiI4WTbXA5UKIDc2IpjnAR0KIdkwT7XwueNEk++HI17B3Lez7QBkeGxIGI65QhFLSHHX+Tm/E74OyvQ0iate7BGQT31MdD3shgWaa0GiQtFrFLEKrxTRmDOaMDMwZ6ZgnTEBjav9HshCCwnIHmw9b2XyonK0FVmwu5a7n8H5hTE2O4uLkaNIT+hJmPPcbLadr9nft2oXH4yEkJKS+/OSBBx5oV0+DikpPxFdZiW3NWirffQfv0SK0ffoQed21RC5adN69ioH0NEk0VE5dmTqQ+2YnMaJ/+HkdtzlqCwuxb9yIPXMjzm+/BZ8PbWQkoTOmEzZ7NqEXX4w2LOys9+3du5cPP/wQv9/PvHnzGH+G2cVpepNoevrpp/EEMJTYYDDw2GOPtbldUFl3nzK+5CcHwNBxoryzCFQ0BXoLoxQYA2xo5rU0oLAdsal0FrIMxd8oGaW898FRBvpQGH65IpSSL2m570Wld6DVwYA05Sf9rjrRFACnnftUgo5l7mVUr1nb+kZ1PU39fvZTXDt34vgmG2d2NtZXXsH6r3+BXo8pNZXQjHTM6RmYxo9D00J/UFmNmy35Vr7OL2dLfjnHbMpQ6oERRi4b1Y+LU6KZkhRFbFjHCJnmavZPXyhotVqKi4u7f82+iso5IITAtWMHlW+voubTTxFeL6ZJE4l54EHCLrsUTQdZ6981PZH3vivFJ7fsdGvUa3nrrgw+23uSN7Ye4cPcY1w6qh/3z04mLS6yQ+IAMCQkYEhIIOrWW/FXV+PYvFnJQm3MovqDD0GnwzxxotIHNWsmhoQEAEaPHs3gwYNZt24dH3zwAQcPHuSaa67BbO4gJ9kuxOv1YrfbqampafUnEMEEBLxdUJlwM+x8U7lxP+HmYEfTYQSaafojcDuwAPgGJdM0EXAA/wP+JYT4bSfG2W4umEyTLEPpt3VCaR3UHAedCYZdpgillLkdZ1et0vN4ejB4atreTs00dQu8ZWUcvflmvEeLWt2uJfc82eHAuX07zuxsHNk5uPfuBVlGCgnBNG4c5ox0pAmT2GkexOYiG5vzyzl4UhHMESY9U5OimJoczcXJ0QyNMnfYQMvT9JqafRWVduC327F98AFVq96h9uBBNBYLEfPn02fxjRg66QZBa72Deq2GF34wgdnDYwGocnp4dcsRVm4+gs3lZXpKNPfPTiYjsfMso4Xfjys3F/uGTOyZmdQeOgRAyNChdQJqFuaJExBaLVu3buWrr74iNDSUBQsWkJSUxMk9e9i4ejUHvV58Oh06n49hej0zr7+efudgXX4u+P3+gMSQqxknVI1GQ1hYWJOf7777Dr+/7ZGnPSLTJAQ8n670zN/xebCjaZOOLs8zAZ8DU4GjwFCgAIgDtgBzhRDdSvr2atEkBBzbrgilveugugS0BsW1bvRCGHZ5j0iHqnQB638M219v6pp3JmpPU7fAW1rK0dtux19eTtQ991D+4ovnPafJX1NDdfY2jn6VRW1ODpbSI2gQuLV69kclUDk8lYgpF5H6vYsYFdcXbQvmDR1Fr6nZV1EJAHdenjKEdv16hNOJcdQoZQjtlVei6YKMyenewXe2FePxy4RoNdw4OY47pyc0O5/JXuvjzW+OsmJTAeV2D+lD+3LfnGRmpER3+A2UM/GUlGLfmIl9QybO7GyE14smLAzL9IuxzJpFzYgRrPv8c8rLy0mOjqbwxAlkjQbRyElQkmU0ssz8iRNJXbjwnGORZRmHw9GmGHI0U0YtSdJZYqjxj8ViISwsDLP57JtSve7zcfM/4Itfw305EDM82NG0SmdYjmuBm4C5QCxgBT4F/iOECGxiYRfS60STEHBiV51QWgtVR5WL3eTvKUJp+BVg7Ph6ZJUeTkWBOlurB1BbWEjRbbcjO53E//tfmNLSKMw9QO7fXiTu20yMPg9uXQjFk2aR9qN7SUhr+QtIlgX7TlSzOb+czflWcgorcHn9aCRIj9Zxpf84Y07lE7ZvF9585e6uxmzGNGkioRkZmNMzMI4a2WKj9vnQq2r2VVSaQXa5qP7kUyrfWYU7dxeS0Uj4lVfQZ/ESTGO7JgNyvri9flblFLE8q4DjNjepgyO4b3Yyl47s16IrZkciOxw4tm6ttzT3l5eDRoN+/HiyRwznUBvZGK3Pxw8XLz4r4ySEwOl0timG7HY7zV0bh4aGniWCwsPDmzw2m81o2jmr6jS9LhNvPwX/NwIy7oG5vw92NK3SKcNtexK9QjQJoQwK27sW9q5RLoA1OsXtbvRCZTCpqfnhdioq9aiztbo17gMHKLr9DgDiX3kZ4/Dh7SqtASiyOtlcNytp62ErFQ5FmCTFhCoOd8nRXJQYRYSpqXmDz2rFuW0bjuxsnNk5eAoUC3tNWBjmyZOVnqiMDAzDhrV7aGVzBNqoLUkSjz/++HkfT0Wlq6gtKFCG0K5dh1xdTUhSkjKEdsF8tOE984amxyezZnsJL248zFGrk+H9wlg2O4mrUgd2elb6NEKWce/dW1/G97XJyOGkJGjt80iWidVoGJqefpYYaq78zWQytZodOp0hasv+vCNoaU4TKFmmJUuW9Kyez3d+AEe3wI/3g65jevY6g44uzzMCk4ABKFZcx4HvhBDu8w20s+jRounUgbqM0hooPwiSBhJmKEJp5DVg7gF3GFS6F6dna21b0fDc5DvV2VpBxrVrF0V3/RCNyUT8K69gSExocwAsgFGv4edzR3CorIav88sprlBq5mPDDFxcJ5KmJkcxIKJ9xi/ek2U4c3Jw5ig9Ud4ipbdKGxmJefJkzBkZhGakE5Kc3K5ynerqanbt2sVXX33V7B3cM+npmaZT/3yufj3mgfuDGEnH05vPrb0Ij4ear76ictU7OLOzQa8n/NJL6bNkMaZJkzq9pK2r8Pll1u86zvMb8jlUZmdolJlls5JZMH5Qu0YNdAS/++Uv8ekDc+40GAxtiqGwsDB052Dr3plUVFSwdetWtm1rmMMXERFBTU0N99xzD7Gxsa28u5tx6Av4z/XKzdlR84MdTYt0iGiSJMkA/Am4CzCguFSCIpzcwIvAL7pbPxN0A9FUUQBbnlPcy+oHwC6Cqfc3f5FqPdwglMryAAmGTIMxC2HkfLDEdPkpqPRCnohotG4LXhwqOHJyKLnnXrRRUcSvXFk//DEQu+DThBl0XJQUxbSkKC5OiSYpxtKhF2re48frs1CO7G/wHTsOgDYqCnP65PpyvpCEoWcd1+v1sn//fnbu3ElBQQFCCEJDQ3E6na0Kpx5Vs38GnqIirCtXUvX2qvrnIpcsJuq2287bRrq7sG/EyPr1kfv3BTGSjidQQegpKaXqv/+l6r338JeXox80iMgbbyTyumvRtTJTqKcjy4LP807w3IZ89pRWMzDCyD2zklg0KQ6jvvOzMABPPP54g1d6awjBI9ffgHH0qA7JkgeDxpn5n/70p7zwwgtERERw5513dknWq0OQ/fD3sRA7En7wXrCjaZGOshxfD8wB3gc+BopQhFMccBXwI2AUcMV5RdvbaK4cylOjNOTnvt1QDlVR2FB6d2K3sl3cRTDvT4oiD+sfvHNQ6Z3MfDTYEagA9k2bKLn/AfRxg4l/+RX0/RruHK7bcSwgwWQK0bLjN5ei03beBYF+wAAiFywgcsEChBB4S0rqnfmc2dnUfPIpALrYWGVGVPpkKoYOZc+xY+Tl5VFbW0tERATTp08nLS0NSZLarNnXarVMmTKl086ps7BnZVHy0MOKeUcjqv67Gtu69wM271DpepoTu74KaxOxK/x+7FlZVK16B3tWFkgSllmz6LP4RkIvvrjHXpi3B41G4vIxA5g7uj+ZB0/x/P/y+c37e/nHV/n8cEYC388YQqihc7M2Op8voEyTzuvlyA03oI2JxjJzJmGzZhE6ZQqa0I4fAt5ZzJw5s37dYrFw1VVX8e6775KVlcXs2bODGFk70Ghh3Pch689gK4GIwcGO6LxoMdMkSdINwNvADUKIZoeGSJJ0HfAOsEgIsabTojwHgpZpCqTxXqOH6JS6jBIweLJSejdqAUQM6po4VVRUgkL1Z59T+tOfYkxJIe7lFej6NO1LTHj0o0DGESNJUPhM8LIxQgg8R47gzM7h5LYc9p4so7BfLPawMHR+P4nA2GHDGD5nDiGDGj7Xdq1dy/vffddpzlfBwFNURMH8BYhmrIVP05JNfE+ht2bRmojdZpwqB/z2SbylpVS++y6+Y8fRxcQQecP1RN5wA/oBA4IXeDdACEF2YQXP/S+fr/PLiTTruW1qArdOHUqE+dyHX7fGu088wT5ZbvLZcSaSLDNSCOZOmkRNZiaOTV8j2+1Iej3mjAwsM2dimT2LkME97wJ+zZo17N69mzvvvJNBg3rI9WLlEXg2DWb9AmY9EuxomuW8y/MkSVoDuIUQN7VxoLeBECHEdecUaScRNNEUiMUzgDkapj2oiKXInvuFo6KiEjhV69Zx/Be/xDRuHHHLX0IbFtbkda9fZszjn1Hra9ly9jQWg449T87trFDbpLa2lry8PHJzczly5AgAQ/r1YxgwMG8f3pwc/DalBFQfF4c5Ix1DUjKnnn2WGp2WA8OGc2ToEHx6PTqvl6FHjjL84AHC/HKPEhdCljnxxJNUrVnT9KL7TOoGEg/4za+7LrgOoi1h0VOzaIGI3dOETp1C5I2LCZszGynAnpoLiR1FlTy/IZ8v95VhMei4ecoQ7rg4gWhL80O1z5WTe/bwr1Wr8LfSh3Sme57wenFu36EM1c3MxFNYCEBIchJhs2ZhmTkT0/jxSN2st4BQmYAAACAASURBVKk5XC4XL774Inq9nnvuuQd9T/lbfH0+WAvgodzWTTyCREeIpkLgV0KI/7RxoO8DvxNCJJxTpJ1E0ESTOkxURUWlGSreeouTv32K0KlTGPzcc03mtAgh+DzvJH/8ZD8F5WfP/jgTnUZiSXo8Ty3oWgtjWZY5cuQIubm55OXl4fV66du3L2lpaaSlpREZGVm/rZBlag8ebCjn27YNuSaAz0atltCpU4m87jqE3wd+P8Lnb1j3+s5+3udH+P0In7dhvdHz+H1172vmeZ8f4fM1//wZ+8R3eh916z6f4nIaKJJESEICGpMJjcmEFGpGYzLXP9aEmpFMJuU5sxmNuW47k6nucd22dUvJZOr0srDenEU7/uSTVP13detiV5IIv/JKBv3lz10XWA8m71g1z2fm8/Hu4xh0Gpakx3P3jCT6Rxg77Bjnm632HD2KfeNG7JmZOLZ9C14vmogILBcrM6Es0y9G2+izrLtx+PBh3njjDTIyMpg3b16wwwmM3avhvTvg5rWQNCfY0ZxFR4gmOzBPCLGpjQNNBz4VQnSrQtGgiaYnIiGQ4hpJgserOj0cFRWV4GNdsYKyv/wVy5w5DPrb/6ExNNx93VFUydMf72PbkUqSYkK54+IEnlq/r1X3PJNey6cPT292QGVnYLVa2blzJ7t27cJms2EwGBg9ejTjxo0jLi4uIPMJ4fdzYNLkgO7qnxN6PZJWq8yX0umartc9RqdF0urO3kavO/t5nRa0de/VaUFb997Tz2u1SHodaLWUNzIQaIuwyy9HdjkRThey04nsciG7XAinE9npPKsnqi0ko7GRmDIhmRqJqzOFWL34aiTETA3iTGM2I50WZAYDkiQFJizayKIJWUZ4PAivt+VlK6/JHg/UbSO3uB9vm/s581iy3R7Qv7HGYmH4t9va3lClnsOn7LyYeZi1O0rRShLXTRzMvTOTiI/qmKG+J/fsIWv1ag54vfh0OnQ+H8P1emZcf/1Z85law2+349i8RclCZWXht1pBo8E0fjyWWUovVHvdQruCjz/+mJycHG655RYSE3uAA67XrcxsSpwNN6wMdjRn0RGiSQYuEkLktHGgDGCLEKJbWXmomSYVFZVgI4Tg1D/+gfXFlwi/8koG/uGZ+tKeIquTP322n/W7jhNtCeHhS4axeHIcOq2m3XOaOgOXy8XevXvJzc2luLgYSZJISkoiLS2NESNGnFNZyL6RowLLzEgSCe+vaxA7dWJF0ikipUEE1S01mqBe1ByYOAnZ0XaGMJCLb+HzKULqtIiqE1XKY5ciuJo8diE7HXXPNdr2tBBr9Jg2hoI2DVaDxmRCdjoD+51pJPSD45oVKe06biBIElJIiPKj15+9bPKcHkkfUrds+lrl628EfLyR+/I69hwuEIornCzPOsy720rwC8H8tIEsm51EcmxY228OgMYOc4HOgWsJIcu49+zBnplJTWYmtXmKO6R+0KD6PihzenqTm17BwuPxsHz5crxeL8uWLcNo7LhMXqfxySPw7SvwkwPdbnROR7nnDZIkqS0J2/M66TqT1EVt9zRp9JB6Y9fFpKKi0uUIITj5zDNUvv4GkTdcT/8nnkDSaqlyevjn//J5fesRtBqJB+ck88OZSVgauU7NHh7Lpw9PZ8WmQtbuKMXh8REaomPh+EHcOT2h0zJMfr+fgoICdu7cyf79+/H7/cTExHDppZcyduxYws9zSKfGbA5MXISGYhw27LyO1ZWEX3N1QNmY8GuuaXNfkk6HNizsrH6380UIoWRqHI5GQuy0oHI2iK767JcT4XRS8drrgR1AFphSU5sRMvoWBY0mJATqlmeLnVYEUQf1ntjeWxPw36PKuRHX18zvFozlgTkp/CurgLeyi1i7s5R5Y/pz3+xkRg+MaHsnXYSk0WBKTcWUmkrMgw/iPXmyroxvI1Vr1lD51ltIJhOhU6dimTUTy4yZTZxPu5KQkBAWLlzIyy+/zCeffMLCnmCekzgbsl+CPyeD8IM2BMbf3PIonm5IW5mmgEycAKFmmuoIxD1Pb4Z7N/eYPxIVFZX2Ifx+jj/+OLbV79F36VJiH30Ej1/m9S1H+ef/DlFT6+OGiYP58aXDO7TW/1wpKyurL7+z2+2YTCbGjh1LWloaAwcO7LAsTkeUenVHenPfT0dm0bobvfXvsTtjtdeycvMRXttyhJpaH3NGxHLf7GQmDunT9puboSMzTa0hu904c3KwZ26kJnND/cw646hRSh/U7FkYR4/ucuv5DRs2sHHjRm688UZGjhzZ9huCxelRPGdeG2v0oNU3jOIJEh1Rnre0PQcUQrzWnu07m6AOt21uThN0mz8OFRWVzkN4vRx75FGqP/6Y6GXLiLr/PtbvPsGfP9tPcYWLGcNieGzeCEYOOL+szfnicDjYs2cPO3fu5Pjx42g0GlJSUhg3bhwpKSnoOsFJqjeLi97qMNebhUVv/nvs7thcXt7YeoSXvy6k0ullalIU989OZkpSVLtu0nSVaGqMEILaQ4ewZypmEq6dO0GW0UZHY5kxA8usmYROnYbW0vkZSr/fz4oVK7DZbCxbtgyLxdLpx2w3PSCZcN6iqacTVNEEyh/J1udh1zvgsUOIRSnJm3KfmmFSUemlyLW1lD78I+wbNhD7s5+SP3sBT3+8j9wSGyMHhPOLK0YwPSUmaPH5/X4OHTrEzp07OXjwILIs079/f8aNG8eYMWO65Au3t4oLqJtl9Opr2FavRng8SCEhRFx/PVG3Lu2xF929XVj05r/HnoCj1sfbOUX8K6uAsppaJsRHcv+cZGYPjw1IPAVDNJ2Jr7ISx9dfY9+Qif3rr5Grq0GvJ3TyZCULNWvmOf3fONXIYCbmgftb3K6srIzly5eTnJzM4sWLu51pRUCjeDR6mLgUrvxr18XVCFU0BVs0qaioXFDIDgfF99+P85tstD9+hD8bRvNF3kn6hxv56dzhLBw/CK2m67/MhBAcP36c3Nxcdu/ejdPpJDQ0lNTUVMaNG0e/fv26PKbT4qLqrbfqn4u86aYeLS56M71dWPRGsdvTcHv9/Pe7El7KPExplYtRA8K5f04yl4/uj6aVz83uIJoaI3w+XDt2UJOZiT1zI57DhwEISUysF1Dm8eNbnfV1LoOkt27dymeffcb8+fMZP358x57U+dIDDNJU0aSKJhUVlS7CX11N8d334MrNZcv1y3jal4BJr+XeWUncPi0BU0jXt3zW1NSwe/dudu7cSVlZGVqtluHDhzNu3DiSkpLQaoPfhhronVSV4KMKXZWuwOuXWbejlBczD1NQ7iApJpT7ZidzTdpAdNqGfqGjVgf/3lTA6m1FuP1g1ML1k+O5a3pil41iCARPUZFSxrdxI86cHITXiyYsDMt0ZSZU6PTp6Po09HPZs7IofvAh/B4vWrnBddKv0aIN0RP3j2ebvUEhyzKvvfYax48f595776VPn3PrEesUesAoHlU0qaJJRUWlC/BVVHD09jtxHzrEXy+6mY39xnBTejwPXZJCtKVrrWm9Xi8HDhwgNzeX/Px8hBAMHjyYtLQ0xowZg8lk6tJ4VHof+0Y0NJuP3L8viJGo9Gb8suDj3cd5fkM++0/UEN/XzD0zk7hu4iC2HLYGfSTDueC3O3BsrZsJtTELf3m5MhMqLQ3LrFkYhg+n6KGH0dS6W9yHbDCS8uH7zd6oqKys5MUXX2TAgAEsXboUTRebUrSImmnq/qiiSUVFpbNxHz/Bvu8vRTp5nN+m30r07Bk8Mm8ESTHn3xtUUVHBli1b2LFjB36/H61Wy/jx45k6dSp9+zbMuBBCUFJSQm5uLnv27MHtdhMeHl5ffhcdHX3esaionEYVTSpdiSwLvtpfxnMb8sktriLaEoLN5cXrb/natauHf58LQpZx781TBFRmJu69e5XnUSypW8IraTAuvI5hT/+22dd37NjB+++/z9y5c5kyZUrHB34uqD1N3R9VNKmoqHQmmzflIv/kfszOGt64+kFu+uEC0hM6ZmDfoUOHePfdd/H7/ciyXP+8RqNBq9WyaNEiYmNjyc3NJTc3F6vVik6nY9SoUaSlpZGQkNB97jKq9CrUkkqVYCCE4Ov8cn7ybi5lNbWtbqvTSCxJj+epBWO6KLrzx1tWxv45l6DztSIs6vAYTKTlbm/2NSEEq1atIj8/n7vvvpvY2G6QcVPd87o/qmhSUVHpDPYdr2b5m//juv/8AZPsxfr4n7l04exWm5XbQ0VFBS+++CJeb8tfnpIkcfqze8iQIaSlpTFq1KieMRVeRUVF5RwZ8/hn2Gtbsb+vQ6uRmDksBlkIZFE33FlQ91hZb/IYmtmumffR8L6WlkrFoLKUhUCWW36faLTd+rU/JZBbXTISo/fntfi63W7nhRdeICIigjvvvLNb9K9291E8gYqmjh/EoaKiotILOWFz89fPD/Ddhhye3vwvTAYdia++Sdiojh0ouGXLFvx+f6vbCCEYOHAg119/fZNSPRUVFZXejCMAwQRKT9Spmlo0knKTSZJAI0nKY5THWo2EXiPVP9acsR0oy8bPN7eUzthOOn2c+n2dsZ1GQuLs7VwfGgj1tZ5FA3DpWu+VtVgsXH311bzzzjtkZWUxe/bsgP7NOpWUS5VMUg8fxaOKJhUVFZVWsNf6WL7xMP/eVEDyqSP8LftljH3CGLryFQwJCR12HJfLRXl5OTt37mxSktcSVqtVFUwqKioXFKEGXUCZJotBx4cPXNwFEXUcfx8yiTkFW9GLlj//vZKGTUMn0VZKZOTIkaSlpZGVlUVKSgqDBw/u2GDPhb6JSs9SkPqWOgJVNKmoqKg0g88vs2pbMX//8iDldg93h1eyIPvf6GNjGPLKK+gHDWr3PmVZpqqqivLy8vofq9VKeXk5DoejXfvyeDztPr6KiopKT2bB+IGsyilu4pp3JjqNxMLx7f98Djbua2/E/3856P0tiyatkDkxaTpCiDaH2M6bN4/CwkLWrl3L3XffTUhISEeHfMGhiiYVFZVewYYNG+rXz6ccQQjBl/vK+MMn+zh8ykH60L68MqKCkKf+Qkh8HHEvv4y+jeZat9vdRBCd/qmoqGhSemc2m4mOjmbYsGFER0cTHR3N6tWrW+1nOo36BaiionKhcdf0RN77rhSf3HIJs16r4c7pHVcF0FUsWTCVx7bexs+2rkQr+5tknLySBiFpkIEr33+BnxhD+dEP5xHX19zi/oxGIwsWLOD111/nq6++Yt68eV1wFr2bbiuaJEmaBWxo5iWbECKyi8NRUVHp5mzcuLF+/VxF066SKn7/0T6yCytIjA7lXzdPJKNoB8d+9iiGESOI+/e/6gcRyrKMzWZrNmtkt9vr96nRaOjTp0+9OIqKiqoXSGbz2V94aWlpbN++vdUSPY1GQ2pq6jmdo4qKikpPZUhUKC/8YEKbc5q6s914SwyJCuWun32fH70Uw5UHMpld9B0mXy0unYEN8RP5aPgsfnvpUCKefISb/vM7fnzkOFfefCW3TBnaohFRYmIiGRkZZGdnM3z4cBITe0bvUHel27rnNRJNDwLbGr3kE0K0aYunuuepqFwYnJ5n1Pj/+6RJk86aZ9QaxRVO/vL5Ad7feYyo0BAeviSFxenxONato+jJJ/FMnoTu7rupsNubZI18vobaeqPRSExMTBNRFB0dTZ8+fdrlXhSIe55er+fee+9Ve5pUVFQuSI5aHazYVMjaHaU4PD5CQ3QsHD+IO6cn9EjB1Ji2zs177BgFd9yFp6iIv4y/Efu0OfzxurEkx4Y1uz+v18vy5cvxeDzce++96pDzZujxluONRNOlQogv2/t+VTSpqPR+AplnlJKS0uL7bU4vz2fm8+rmQkIlD4vGRjB1kIGaqgpO7N2L1WrF1SgbJElSfdYoOjr6rKxRWzXmXXVeKioqKiq9F7/NRvF99+P69lv+M+4a3k2cyYOXpHD3zCT02rONy0tLS1mxYgVjx47l2muvDULE3RtVNKmiSUWlV3MuGZna2lqsVisny8rZkHuYvMISzLKTPloPkmiokQ+RJCynyomyhBJ3+eXE9OtXnzXS6bqmqrmiooKtW7eya9cuPB4PISEhpKamMmXKFDXDpKKionKBI3s8HH/0Uao//oRdky/jsYGXMGxABH++Po2xgyPO2n7Dhg1s3LiRRYsWMWrUqCBE3H3pTaKpDIgGqoDPgEeFEEVtvV8VTSoqvZv169e32fsjSRIxMTFYLBbKy8uprq6uf00W4NebiR/Qj6GD+9dnjVj9Hs4VK4i4+moGPvM0UheJJJWej8/qomZTKc4dZYhaP5JBi3l8LGHTB6GLUktiVFRUOhYhy5T95a9UvPIKzozpPJi4gONuwV3TE3n4kmGYQhpKw/1+PytWrKCqqoply5YRFtZ8Od+FSG8QTeOB7wMbgWpgPPALwAuMF0KUNfOeHwI/BIiPj5949OjRrgtYRUWlS3n66acDtt0eOHAgkimcb0942V8JffpG8eCV45kzckD9NkKWOfn0M1S++SaRN95I/8d/g6QJZD67igq4DlRQ8eY+hF+GxjpeA5JWQ98fjMQ0vOdmCFVBqKLSfal4/Q1OPvMM+rGpvHn1/by618bQKDPPXJvKlKSo+u1OnTrFSy+9RFJSEkuWLOmwkvKeTo8XTc0hSdIEIAf4gxDiV61tq2aaVNqLp6gI68qVVH/wIbLTicZsJvyaq4m67TZC4uODHZ7KGTzxxBMBb3si6Wo+3XuCfuEGfnLpcK6bOBhtI7ch4fdz/Fe/xrZ2LX1vu43Yn/9M/TJRCRif1cXJv29HeFvJeuo19Ht4Qo8UGL1dEKqo9AaqP/ucYz/7GfqBAzn1qz/y8y1Wiiqc3JQRz6PzRhBu1AOwdetWPvvsM6655homTJgQ5Ki7B4GKph51G1UIsR04CEwOdiwqvQt7VhYF8xdQ9d/VyA4HCIHscFD139UUzF+APSsr2CGqnEGgc4o8QsumQ6f48aXD2PDTWSyaHNdUMHk8lP7kp9jWriX6gftVwaTSbmo2lSqCohWEX6ZmU2kXRdRx+KwuRTB5zxBMADIIr0zFm/vwWV1BiU9FRUUhfO5lxL+6En9lJX0fWcYHl/blrukJrMop4rL/y+LLvJMAZGRkMHToUD799FMqKyuDHHXPokeJpkb0nPSYSrfHU1REyUMPI1wuaGQhDYDPh3C5KHnoYTxFbbbSqXQhcYkptJUo9wuQI+PI/NlsHvxeCuaQpv1JsttNyQMPUvPpp8Q+8ggx992nCiaVduPcUXa2oDgTGZzfncR9qJLagipqj9jwFNfgKbXjPeHAW+bEV+7CV+nGX12L3+5BdnqRa/0Ir4yQBcGoDOnNglBFpbdhnjCBIW+/hcZo5MTtt/GQ5RRrl00j0qznzte/5cG3d1Dp9LJgwQIA1q1b12pfsEpTelSHsyRJk4DhwOpgx6LSe7CuXIloxYENQHi9WF99jQG/+XUXRaXSGjabjfzDBW1uJ6NBP3AEMWGGs17z2x2U3Hcfzpwc+j/5JH1uXNQZoapcAIhaf9sboWRlyl/ec34H00pIGgk0EpJWanis1TR9vvFSU7edVtP882ctNfWld45tJwIThDvK6LMg+fzOTUVF5bwxJCYydNXbFN99D8XL7iP+8d/wwf3X89LGw/zzf4fYdOgUj189mnnz5vH+++/zzTffMHXq1GCH3SPotqJJkqT/AIXAdhTnvPHAY0Ap8I8ghqbSixBeL7Z175+dYToTn4/qDz5QRVM3oLKyktdeew2fx8MOXxzjdaVokNE2ShD5hSKYMr1J2PJsPHXGPvw2G8U/vBvXnj0M/NOfiLj6qi49B5XehWTQBiScpBAN0beNQcgC/KLRUgZZIPyNnj/9uMmybrvT7zvzdVmAX0bI1C0b7c8nI/t9Tfd/evtm99O+rJbwBCYcVVRUOh9dTAxD3nidkod/xInfPE70iRM88MADXD6mP4+8t4uH39nJ7GHRzExK4auvviI5OZnY2Nhgh93t6baiCdgDLAEeAMzACWAN8LgQojyYgQXCUauDf28qYN2OYzhqfYQadCwYP5C7pif2+GnVPRXZ46H24CHceXtx783DnZdH7YEDiAAd2GS7nRO/fQpzRgbm9Mno+vTp5IhVzqTkRBlvvP46tbW1fOoZhlVYKJYjGaU9SZK2HD0yXjQc9keT5+9HjTAieZoKYp/VStEdd+I5fJjBz/6dsEsuCdLZqPQGvKecaEw6/G2JJg2YJ/TDkHD2/JTuiBACBBx7cmtgmTSNRG2BjZCh4UrGSkVFJahoQkOJe+F5jj/xBOUvvIj3+AlSfvskq++ZymtbjvDnzw6wSxPBfIOeNWvWcOedd3bZHMKeSo9yz2sPwXTP23CgjGVvbsfrl/HJDf++Oo2EXqvhhR9MYPZwVdF3JrLLRe2BA7jy8nDv3Ys7bx+1hw7VZ5Q0FgvGUaMwjh5N5VtvIWpr296pVotkMCCcTgAMw4bVC6jQyZPRRkZ25ildkFS7vXx7pILsggp2HCpmaMU2NAi+8g3HKpuRA/j4shh07HlyLgDeEycouv0OvMePM/i5f2KZNq2Tz0Clt+J3eKn+8iiO7BOgk5TMTCvZmZ7qnle5Lh9HzvG2S/QkQIA2PARTagzmtBj0gy1qj6CKSpARQlD+/AuUP/ccodOmMejZZ9FaQimucPLYmt0cLTjE90LyGTvpIq676vJghxsUeqXleHsIlmg6anVw+d834fK2fGfOpNfy6cPT1YxTB+G3O6jdv69OHNVlkA4XQF1zozYyEuPo0XUiaRTGUaPQDx5cP4Pn4GO/xr1uDXrR8lWBV9JgXHgdKU/+GtfuPThzcnDmZOPcvgPhdoMkYRgxgtD0dMwZ6ZgnTUIbHt4l59+bsDm95Byp4JsCK9mFVvKOVSMLiNK6udxwgBCNRPplC5mRlswzn+xjVU5xkxsTZ6LTSCxJj+epBWPwFBdTdOtt+G024pa/hHnixC48M5XegvDJ2Dcfo3pDEaLWT2h6f8IvHYKn1N4rbbkDtVOPWTYO30kHzl3luA9UgF+g7WvEnBqDKTUa/YBQVUCpqASRqvfe4/hvHscwbBhxy19CHxuLEILV35Xw8foPiBOniJp4OcuuTEev7ak+ceeGKpqCJJp+tW53uy7kVNqH32arF0anS+w8R47Uv66LiWkijoyjRqEbMKDVL+s/vPwFc//vJxj9LZtBuLV6Pv/x//HIHU1LuWSPB/fu3Tiys3Fm5+DasUMp99NoMI4cibmxiLJYzvv8exsVDg85hVa+Kaggu7CC/SeqEQJCdBrGx0WSkRjF6EiZ3A0foNFouOWWW+rrrttzg6J/1QmKbrsd4fEQt2IFpjGju+oUVXoJQghcu8uxfVKIv7IW4/A+RFyRgL5fw82vJgNgPX6kkN4xALa9c5pklw/XXivOXaeoza8EGXQxJsxpMZjSYtDHmLv+JFRUVLBv2kTJQw+jjYwg/t//xpCUBEBxeRX/emk5do8gP+oinrl+PGMG9YxS4o5AFU1BEk1jHv8Me20bpgI0LRlSaR6f1dpEHLnz8vCWlNS/rhs4oF4YmUaPxjByJPp2NDJ6fDInq91c9rcsRpfs4Zc5r6OV/U0yTl5Jg1+j5ffpt7A/fmybvzO5thZXbi7O7Byc2dm4cnMVZz6tFuPo0YSmT1ZK+iZMQBN64WUaT9XUkl1oJbugguxCKwdP2gEw6jVMHNKHjIQoMhL6khYXiVGv5dixY7zxxhvodDqWLl1KdHR0k/0FUgo7xV9O0R13gk7LkFdewZCS0qXnrNLzqT1aje2jAjxFNej7m4m4MhFjyoXV03iugtBv9+DaY8W16xS1hTYQoB8QiiktBnNqDLq+xi48CxUVFdfevRTffY9yE/GF5zFPUrRCYWEhr732GoXSAL6ujePuGYk8+L0UjHptkCPufFTRFCTRlPDoRwEPkbo6bSCxYQb6hRvoF24kJkxZxoYZsBh03baUwVNUhHXlSqo/+BDZ6URjNhN+zdVE3XYbIfHx7d6fEAJfWVkTceTeuxffyZP12+jj45tkj4yjRrVqxOD0+Dhhc3Oi2s0Jm5vjtoblyWplWW5v2sc0wFHOwvws5hRvx+SrxaUz8L+4CaxNnsHxUOVifdSAcJJiLSRGh5IUayEpJpTEaAumkOY/VGS3G9fOnQ2ZqN27wesFnQ7TmDENmagJE9CYeu6d6JY4We2uK7WrILvAyuFTDgDMIVomDunDRYmKSEodHEmIrmk5QGlpKW+88QYGg4GlS5fSt2/zpU1HrQ5WbCpk7Y5SHB4foSE6Fo4fxJ3TE4g5epDiu+9GE2ZhyMqVhAwZ0unnrNJ78FW4sX1aiGtXOZowPRGXDcU8sZ9qdHCO+Ktrce4qx7XrFJ6iGgBC4sIUATU2Gm3E2aMBVFRUOh5PSSnFd92Ft6SEgX/+E+GXK71Mn376Kd988w2uIdN454CHxOhQ/nh9KpOH9rzS4vagiqZunmnSShJxfU2crK5ttrzIHKI9S0idKa76hRuxGLrW6cSelUXxgw/h93jRyg1x+zVatCF64v7xLJYZM1p8vxACb+kxxcGuURbJb7UqG0gSIYmJTcSRceSI+v4gIQTVbl+dAHLVC6AzBZHNdXapXYRJz4AII/0jjPQPV5YDIow8/sFe3K3U659Gr5WYmhRNQbmdkkpXk8GqgyJNJMaEkhSjCKmkGAuJMRb6hRuaiF/Z6cS5Y4eSicrJwbVnj2JOoddjSk1VTCUyMjCNG4fG2PPuwB6rcpFdaOWbw0om6YhVMc2wGHRMHtqHjDqRNGZQRKs100VFRfznP//BZDJx6623EnkOJhuOrVspXnYf+n79iF/5CvoBA875vFQuLGSXj+oNxdg3lyJpJCwzBhM2YzAaQ++/49pV+CrcOHedwrXrFN5jDpAgZGgE5rRoTGOi0VpCgh2iikqvxldZScl99+PasYPYR35O1K234vV6viia6AAAIABJREFUWb58ObW1tYyfu4jffHSIkkoXN180hJ9fPpwwoz7YYXcKqmjqIT1NQgjstT5OVtdSVu2mrKaWk42X1bWU1bgDFlf9wgzEdpK48hQVcejq+Whq3S1uIxuMpHz4PiHx8QhZxltUhDsvD1e9ScM+ZJtN2VirxZCcXC+OQkaOxBWfyEmvRhFC1W5O2Fz1ouh01sh5xjwQSYKoUEO9IBoQoZxzw2MT/cONLWaDzqUPze31U1juoOCUg8On7Bw+Za9fbxxfaIi2ITMVY1HWY0IZGhWKUa9Fdjhwbt+OMzsbR8423Hv2gCwj6fWY0tKUUr6MdEVEhXSviwghBCWVroZMUqGV4goXAOFGHekJfZVyu8S+jBoQji7AxtIjR47w1ltvYbFYWLp0KRERrddVn8582la/h/B6kfR6zFOm4Ni6FUNCAvGvvIzujLI+FZXmEH4ZR/YJqr88iuzyYR4fS/jcoejUDEin4j3lxJV7CmfuKXynXKABQ1Kk0gM1OhqNSbVBVlHpDGS3m2M/f4Sazz+n79JbiH3kEY4dP86KFSsYO3Ysc6+8hr9+fpCVWwoZEG7k9wvHMntE73N/VkVTL3PP6w7iKhCXOT8SuqRkTH0icO/bh+xQyrEkvR5NUjK1CSlUxSVxLGYIheH9KXXKnLC5OFHt5qStFo+/6b51GqkuNoMifpoRRbFhxrNKu9pDR/7OhBCcqHY3iKkyOwXlDg6X2TlmaxCbkgRxfcyNslOKmEowgXn/7jp3vhzceXkgBJLBgGncOMwZ6UomauxYpHaIqMLcA+z62wsM/nYjRl8tbp2BkkkzSf3RMhLShge0DyEER63OJuV2p8+pj1nfRCSN6B+O9hxKmAoKCnj77beJiIjglltuIbwNB0J7VhYlDz2s9I2dOaBYkhj0178SfsW8dsehcmEhhMC9rwLbJ4X4TrkwJEYQcWUiIYNU85auRAiB94QT1y5FQPkr3KCVMA7rgzktBuPIKDXbp6LSwQi/n5N//COVr79B2Ny5DPzTH8naupXMzExuuOEGRo8ezfaiSh5ZvYtDZXYWjh/Er68aRd/Q7nUj93xQRVOQ5zQ9+dLnXLV/A7OKv6vvj8mMm8j6EbN5/J7LOm1OU0eJq9gwA7GnxZVFxwCdn/h7lxDibXuekQCs8cMojRnCochB7DL1I1fbB4/UVJAZdJozyuVMTR4PiDASZTGc08V3e+mK2VpOj69RZspBQaNlra9BLIYbdSTWCanhFsHwk4fpX7gX3a4deA4cUESU0Yh5wnjM6XWZqDFjkPTNp803v/UB5t//Gq3sa8bkQofzl08x7aZrznqfEILDpxxNjBtOViu//6jQEDISG0TSsNgwNOf5e8rPz2fVqlX07duXW265BUsbboOeoiIK5i9AuFwtbiOZTCS+v+6ceu1ULgw8pXZsHxVQW2BDF20i4ooEjCP7dtue0gsFIQTeEjvOXKWEz1/tQdJrMI7oqwio4X2QLoAGdRWVrsL66quU/eGPmCZOZOA/nuXV996jsrKSZcuWERYWRq3Pz/MbDvPChnwiTHqeuGY0V6W27k7cU1BFUxBF0/n2/XQGwuvFX12N31aNXG3DZ7PhqKjCVlaBo7wSV0UVtVU2/DYb2GvQOuyEuOwYa52Eelsux2sOGYnFi//WpG+of12JXOMSugiTvlv9Z2vNUKAzZ2rJsuCYzcXhU466zJSdw2WKuCqraRCpWo3ECLNguquYMWX5DDySh6m4EADJbMY8YUJ9Jso4ahSSTkdh7gGqblqE0e9p8fhubQiRb73L0NRhHCqzk13QYAF+2iwjNsxQ3490UWJfkmI6dmjlgQMHePfdd4mJieHmm28mtAVnQSEEwutFuN2cePppqj9cD/6WM4TodEQuWsSA3/y6w2JV6R34bbXYPjuCc0cZGpOO8EuGEJrRH+kCm0/SExCywHO0WumB2l2ObPciGbSYRkVhSovBmByJdB7VBioqKgrVn3zCsZ8/gj4uDtOf/sQr69aSmJjIkiVL6r/z95+o5pHVu8gtsXHJyH78bsEY+kf0vB7sxqiiKUiiqbPufgshEG43/uoa5GpbgwCqUZb+6mr81TZkWzX+mpqG9Wrlp7V4ACSjEW34/7N35vFxFGf+fqqPuTQ6LMmyfB8YDAYMNqcBh0ACIdyBhCUkHNnswkKSX0iyOfdgyUWOXcJmCZBrwRBCFgIBAoQkDgSIMYcxYGyDsbGx5UOSpdE1dx/1+6N7RiNZx8iWNRpRjz/t7q6u7nlL09Nd36q33qpCr65Cq6r2tqsq0aqqsCNREoEIqZ/8mKA7fJCLhBHi2HWvFl02xeD0pK1871Th+Kl325JkHZfqTJwj2rZwfOdWjm5/h4bYLgDccATj6MU072ildsc7GMNM3Pu3Bafwi2M+Sizhiaup1SFOmFvLCfPqOHFeHXPqIgOKJCklMptFptO46QwynfLWmTRuOo3MZLx1Ps1fp9L5/S3pNCs0Qa3j8KG2NgKptH89f53J9FkzwmeWFo2yYPXLIzpHMXFxMw49z+4g/uwOpCuJnjydqtNmqnEzZYJ0JJktnV4P1Lp2ZNpGhA0iR9QTPqqe4NwahD5+GuMUinIj+fLLNH3ms4hggNYvfYkVr73G+eefz5IlS/J5HFdy58qt/OefNmJqGl8/+zAuPW7mfnuclAolmkokmnbfeCOdD/x27/EVheg6lWeeyaRLL/XETXc3Tnd/odOF292TFz1uV5c3bmMItGgUraoSPSd6qqvQKqsKxFCVf8wTQ3q1l0+rqioqyMAt5/wDp29ZNeSYJkto/OWgk/jCYz8f9nqKfcdxJTs6kn3FVGuCtqZdTN/+FkfteYdFbZuZGd9T1PWyms6bJ53N9IhGY1AQwUamM7iZdO86lc7v50VMJjNiEZNDmCZNc+fw/NFHUxeP84F33iFkmIhQCC0Y9NahkL8OIoIhRCiI5q9bv/f9Ij9IcNibG/bJRsXEQbqS5CstdP1pG25PlvCieqrPmqvmCSpjpO2S3txJ6vU9pNa3I7MOWtQkfGQ9kaMmE5hVpcLDKxT7QGbzZrZffTVOZxfPX3kFzYkE1157LZP6TfWyrT3B1x58g1Vb2jlxXi3fu2gRc+rLbw5KJZpKJJo2HnNsPvjBiNE09Epf0AzY61PdTwBV5UWPXlmJMA5sS+n3fvlnPnTzlwg5g4u3tG7ypy/ezFc//cEDaoticDqT2fxYqYWfPJNinVaEaQ4jVAYXM33y5o+FEEF/P5en4BpvrF/P7373O2bOnMlll11GaIQh1ov9rameJkV6Uwddj2/Fak4QmFVJ9TnzCM4eOsiIoryQlkPqrQ5Sa/eQejMGtoteHSC8aDKRoyZjTh/cpbjPxL0ZBxEsbuJehWIiY7W00nTNNcR27OBP559H44wZXHXVVWha31qFlJL/e7mJ7zzxJlnb5YtnHMKnT5lbdMTc8YASTSUSTW8etrC4lnchmHXnnb1iqLoKraICoY3fm2xbe4Kvf/VnfHnVneiuM0BQAZ0fLv0UN33/6gM6BkhRPK8ccTQRe/jgHUkjxDFj6FL56quv8sgjjzBnzhw+/vGPEwyOPKRzUb26akzTexqrJUHXE1tJb+xAnxSk+qy5hBfVj6uxlIrRx83YpDfESK7dQ/rtDnAkem2IyFGegDKm9LobpzbGiP3qTaTjQqEThQZC16j95GGEF0zsiT0VisFw4nF2/r/Ps27XLl468QTOOOMMTj755AHztnSn+deH1/HnDS0cOb2a71+8iIXTyqNxSommcd7TVK6t37nIgOds/Cunbe+NDPj0rGN4fMH7D2hkQMXIeeSqzzP3xRXDulRuOeEMLrzrljGxafXq1Tz22GPMmzePSy+9lMA+zj+loucpBsOJZ+lesZ3ES7sRAZ2q02YRPWkawhy/jVKKA4ObtEitbye5dg+ZdzrBBaMh4vU+zaokdvcG5BCTmwtTY8r1S1SPk+I9i7Qsdv3bv/PEnj3snjGda66+minTpw+cV0qeeKOZGx5dR2fS4tr3H8RnT59P0NDZ1p7g589t4eFXd5HI2FQEDS5cPI1/XDav5A3tSjSN5zFNZd76Xaooc4qRM5LoecXO17Q/vPTSSzzxxBMcfPDBXHLJJZiDhEkvlkHnaTIMhGky479vGfNIlYrSIS2XnpU76Xm6CWk5VJwwlaoPzkavmJiz2CtGhhPPklrXRvL1PWTf7fbmxxgODSqOn8qkC+cfcPsUivGKlJKm//5v7m1upkLXufarX8UcYh7FjkSWbz2+gYfW7GR+Q5S/O3YGN/950wGd1mV/UKJpgkXPUyj2lX2dp2m0WbVqFX/84x9ZsGABH/vYxzBGaQxedvt22u9aTvejj+ImEmgVFVSdfz51V12pfmPvEaQrSa3dQ9eT7+J0ZggdVkv1h+diNkRKbZpinGJ3ZWj+4ctgD18HEkGd6TeeNAZWKRTjm9W/+CWP7WjiyNZWLvjmNzHq64fM/9eNrXz1t2tp6Rl6mEDY1Hny+mUla3hXoqnE8zSp1m/FeGLr6xt5/Ue3M3P1XwnZWdJGgKZj389RX7h2THqY/va3v7FixQoWLlzIxRdfjK6rSSkVo0Pm3S46H9+K1dSDObWC6nPnETqoptRmKcqAHV97rriMAmbctOzAGqNQlAkP3HEHG3bv5sy1a1nyXzcTnDd3yPxffXAt97/cNGTHrqEJPn78LL514RGja2yRKNFUQtEEqvVbocjxzDPP8PTTT3PEEUfwkY98RAkmxahgt6fo+sNWUuva0aoCVJ85h8iSBhViWlE0O294HpkZYnLsHLpg8tWLCMyqVEFEFO950uk0t/34x8g9e/jwyueZc+utRJYsHjT/ETf8kXhm+Dk+o0GDdTd+aDRNLRolmkosmhSK9zpSSp5++mmeffZZjjrqKC644IK9QpUqFCPFTVp0P9VEfNUuhCaoPHUG0ffNQAsoMa4YGR0Pbybx0u6+UfMGQgASjLoQkcUNRBY3qMAQivc0W7duZfny5SxobmbxqheY9sMfUHXmmQPmnfu1x4saPigEbL3pnNE1tEiKFU1qCnSFQjHqSClZsWIFK1euZMmSJZx77rlKMCn2C2m7xF/YTc9T23FTNpFjplB95hz0qn2LvqhQVC6bTvKVFqQ7dPS8ydcehbUrQXJNC90rttO9YjuBOVVEljQQOXIyWlhVpRTvLebOncvSpUtZtWoVs45Zgvz89djf+Aa1l39yr7wVQaOonqaKwPj/HY1/CxUKRVkhpeTJJ5/kxRdf5Nhjj+Xss89Wgkmxz0gpSW9op+uJrdjtaYLza6g+ey6BadFSm6Yoc4y6MLWfPGzYeZoC06IEpkWpOHYKdmea5Kt7SK5pofOhzXQ++g7hhXVEFjcQOmQSoowm9FQo9ofTTz+dzZs380I0ygUVFbR85ztYu3fT8M9f6jPn6IWLp/Gbl5r6RM3rj6EJPrJ44DDm4wnlnqdQKEYN13V54oknWL16NSeccAJnnXWWGgOg2GeyO3rofHwL2a3dGA1hqs+eR2jBJHVPKUYVuz1Fz3M7Sb7aisw6iIBOZHEDlcumD+qGJ6XE2hEn+WoryddacZM2WoVJ5OjJRJZMwZxWoe5TxYRn165d/OIXv+DwhQs5ecMGOn59H1Vnn83U792E5s/BuK09wVm3PEfKGnz8oIqeV2KUaFIoxhbXdXnsscdYs2YNJ510EmeccYaqNCgGpE8lNeMggn0rqXZnhu4/vkvy1Va0CpOqM2ZTcVwjQlf3k2L8IW2X9NsdJNe0kHozBo70JtBd4o9/qg6W2kSF4oCRC/b00Y9+lKkvvEDrf/4XkeOOY8ZPbkX353J6emMr1/1qjZqnabyiRJNCMXa4rssjjzzC66+/zvve9z5OO+00JZgUA5LaGBvSHSp0WC2pDTFAUnnKdCrfPxMtpDzJFeWBm7RIvtFGck0r2W3dICB4UA2RxQ2Ej6hHC6qAJYqJheM4/O///i+xWIzrrrsO96/PsOsb3yA4ZzYzf/pTzGnTAK/H6RfPbeV3r+4kkbWpCBh8ZPF0/mHZ3JL1MOVQokmJJoViTHAch9/97nesW7eO0047jVNPPbXUJinGKXZ7ipZb1iCtocOVBQ+rZdL5B2FMCo2RZQrF6GO3pUi82kry1VacWBphaoSPqCeypIHgQTUqPL5iwtDW1sYdd9zB3Llzueyyy0i++BI7PvtZtEiEmT/7KaFDDy21iUOioucpFIoDjuM4PPjgg2zYsIEPfOADLFumJoBUDE7Pczu9HqahEGBUB5VgUpQ9Rn2Y6jNmU/XBWWS3dZNc00py7R7P7bQqQGRxAxWLGzAbS9vKrlDsL/X19Zxxxhn84Q9/YM2aNRxz4gnMvvdemq65hm2f+CQz/ufHmDNm0H7nnXQ/+nvcZBItEqHq/POo+9Snymb+UtXTpFAo9gnbtnnggQfYuHEjH/rQh1i6dGmpTVKMc4qdTFQEdabfeNIYWKRQjC3Sckm92U5yTSvpt2PggjmtgsiSKUSOmoxeqULoK8oT13W555572LFjB9deey21tbVYzc00XX0Nmc2bEbqOlBLsgvDjhoEwTWb89y1E3/e+ktlebE+Tio2pUChGjGVZ/N///R8bN27k7LPPVoJJURTFCCYAmS0un0JRbghTI7JoMvVXHc7Ub5xA9XnzQAi6HtvC7ptepO3OdSRf34McItKYQjEe0TSNCy+8EE3TePjhh3FdF7Oxkanf/x4A0rL6CiYA20amUuz4/PVkt28vgdUjQ4kmhUIxIrLZLPfddx+bNm3i3HPP5fjjjy+1SYpxjt2ZpvMPW4vOLwJqsLxi4qNHA1SePJ0pn1vMlC8sofJ9M7CaE8Tue4td336R2G/fJrOlCznE/DYKxXiiurqas88+m+3bt7Nq1SoAOu+/H4aZq1FaFu13LR8LE/cLNaZJoVAUTTab5de//jXvvvsuF1xwAYsXLy61SYpxipSS7PYe4it3klrXBhL02iBORwaGqgNqEFlcutCzCkUpMKdUUH3WXKrOnENmSyfJNa2k1u4huboFfVKQyOIGb/6n+oHnjVIoxguLFi3irbfe4qmnnmL+/Pl0P/r7vXuY+mPbdD/6KFP//d/Gxsh9RIkmhUJRFJlMhnvvvZempiYuuugiFi1aVGqTFOMQ6bik3mijZ+UurKYeRMggesoMokungiuHjZ4ndI3KZeN/ZniF4kAgNEFo/iRC8yfhXjif1Pp2kmta6Hm6iZ6nmgjMqvTmf1o0GS1iltpchWIvhBCce+653HbbbTz00EMsS6cpxnfATSQOuG37iwoEoVAohiWVSnHvvfeyc+dOLr74Yo444ohSm6QYZzgJi8RLu4mv2o3bncWoDxM9ZRqRJVPQCtzthpunqfaThxFeUDv2BVAoxjFOV4bka3tIrGnBbkmCLggdWkvFkgZCC2oRxt7uT8NNIq1QHEg2btzIfffdx8JNmzjylTXD5teiURasfnkMLNsbFXJcoVCMCslkkl/96lc0NzdzySWXcNhhh5XaJMU4wmpJEF+5i8SaVrBdggfXEL34YEIHTxpwHprwglqmXL+ktzKXdRABVZlTKIZCrw5SeeoMou+bjrU74YUvf62V9Pp2tIhBeNFkIksaCMysRAgxYOOEzDgkXtpN8pUW1TihOOAsWLCAxYsX8xowtWkH9a2tg2c2DKrOP3/MbNtXVE+TYsTEYjGef/551q5dSzabJRAIsGjRIk466SRqa9VDeCKRSCS455572LNnD5dccgkLFiwotUmKcYB0Jem3O4iv3ElmUycYGhVLGoiePA1zippzRqEYC6QjSW/qIPlqK6n17WC7GPVhQodOIv5CM9hDuMGaGlOuX6IaKRQHlHQ6ze233orT3MyH/vAkhjNwVEgRDjPvkYdLNl9TsT1NSjQpRsSmTZu4//77cRwH1+19IGuahq7rXHLJJRx88MEltFAxWsTjce6++25isRiXXnop8+fPL7VJihLjZhySa1qIr9yF3ZZCqwoQXTqNiuMb0SvU+AqFolS4aZvUG20k1rSQ3do9/AkaVBw/lUkXque64sDy7rvvctdddzF/61aOeWVNWc/TpNzzFEUTi8W4//77sSxrr2Ou6+K6Lvfff39+UjNF+dLT08Py5cvp6urisssuY968eaU2SVFC7M408ed3k3ipGZm2MWdEqb10AeEj6xG6mrlCoSg1Wsig4rhGKo5rZOe/r0RmB+9lAsCF5KutSjQpDjhz5sxh6dKlrAKyc+eyy7KwDQPDtjnENDn1ox8lWibjpJVoUhTN888/jzNI12oOx3FYtWoV55xzzhhZpRhturq6WL58OT09PXziE59gzpw5pTZJUQLyIcP/tpPU+jYAwkfUEz15OoFZ3rgJhUIx/hhWMOXyFTnZtEKxv8yaNYtVq1axHcD0vBJs0+QtTWPTI49wSTBYFl5KqolQUTRr167t45I3EK7rsnbt2jGySDHadHZ2ctddd5FIJLj88suVYHoPIm2X5KuttP7kNfbc/jrpzZ1ULptB41eOp+6ywwjOrlKCSaEYx4hg8ZNDt97xOj3P7cBuTx1AixTvZWKxGA899NCAx1zXxbIs7r//fmKx2BhbNnJUT5NiQKSUxGIxtm3bll+y2WxR52YyGW6//XYaGxuZOnUqjY2NNDY2EgqFDrDViv0hFouxfPlyMpkMl19+OTNmzCi1SYoxxElYJF70Q4b3ZDEmh6m5cD6RJQ19QoYrFIrxTWRxA4mXdvcN6d8fDcypUWTaoevxrXQ9vhWzsYLQ4XWED6/DnFqhGkcUo8JE8lJSokkBeGq/tbWVbdu2sX37drZt20Y8HgcgEokwe/Zsenp6hr3xAXRdp7Kyks2bN/P666/n0ydNmpQXUbl1ZWXlASuTonja29u56667sG2bK664gmnTppXaJMUYYTX7IcNf9UOGHzKJyo8eTHCQkOEKhWJ8U7lsOslXWpBDeIYIXaPuskMx6sLY7SlSG9pJrW+n56nt9PxlO/qkIOGFnoAKzKlWzwLFPjMSLyUlmhTjEsdx2L17d74Xafv27aTTaQCqqqqYO3cus2fPZvbs2dTX1yOE4LHHHmPNmjVD3vyaprFkyZL8jd/T08Pu3btpbm5m9+7d7N69mw0bNuTzR6PRPiJq6tSpTJo0SbVwjSF79uxh+fLluK7LlVdeSWNjY6lNUhxg8iHD/7aTzOZOhKlRcUwD0ZNUyHCFotwx6sLUfvKwYSeRzoUbN+rCVC6bQeWyGTjxLOk3Y6TWtxN/YTfxlbvQKgxCh3oCKnRwDcJUPc+K4inWS6nYfKVEiab3CNlslp07d+ZF0o4dO/JR8Orq6li4cGFeJNXU1Ax4jZNOOonXX399SNGk6zpLly7N71dWVlJZWckhhxyST0un03kRlVu/88475MLfB4PBvEtfTkxNnjwZXVcP6n1lsLm1DjnkEB5++GGEEFx11VU0NDSU2lTFAaR/yHC9KkDVWXOoOE6FDFcoJhL7Oom0Hg3ko/C5GZv0xg6vF2pdG8lXWhABjdAhkwgdXk94wSS0iHpuKIYmEAgUJYgCgcAYWLN/qHmaJijpdDrvZrd9+3Z27tyZFzuNjY3MmjUrL5Ki0WjR1z1Q8zRZlkVra2ufHqmWlhZsP56/rus0NDT06ZGaMmVKWfzISs1g35kQAikl4XCYT3/609TX15fQSsWBxI6lia/aReLlZmTaITCzkugp0wkfUadChisUimGRtktmSxep9W2kNsRwe7KgCYLzqgkfXkd4YR16dbDUZirGIcV6KR1zzDElc89Tk9u+x0RTPB7Pi6Rt27bR3NwMeDfitGnT8gJp5syZhMP7NwN4LBZj1apVe/VaLF26dFTnZ3Jdl7a2tr16pXJuhEII6urq8iIqJ6gikcg+l2ug3piTTjqpbOedisVi3H777QPOrZXDMAyuu+66si2jYmCklGS3dfshw9tBQPjIyURPnkZwVlWpzVMoFGWKdCXZHT2k13vjoOw2L/KeObMyPw7KbNi397Bi4lFMPcQ0zZLO8alE0wQXTZ2dnX0i27W3twNeBXjmzJnMnj2bWbNmMWPGjAnVGyOlpKurq4+Iam5upru7dwb06urqvcZJVVUNHSb5QPWglZpyaOFRjC7Sdkm+0Ub8bzuxdsYRYYPoCY1UnDgNo0a1BCsUitFDSom9J+X1QK1vx9rhBZAyJoe9MVAL6wjMqFSBJEZA154kr/25iY0vNWOlHcyQzoLjGzn6jJlUTy5PMTre61hKNE0g0SSlpK2trU9ku66uLsAb/1Poajd16lQM4703VC2RSOzVI5UTkgDhcHivyH11dXVomlYWrSBDIaXEcRxs295r+eUvfzlkuXIEg0G+/vWvj4G1igOFE8+SeLGZ+Au7cHssjMlhoqdMJ7JYhQxXKBRjg92ZIf2m1wOV2dIJLmhVgXwPVHBuNcLYf5fgiSgsALata+fJn72B40ik01s/F7pA1wVnXX0ks4+oK6GF+85YeSntC0o0lVg07Y+rl+u6tLS09OlJSiaTAFRUVOQF0uzZs2loaEDT1JiEgchkMrS0tPQRU62trfmw6aZpMmXKFDKZDG1tbQz1WxiqN2Yo0TJWy/4ihOCGG27Y7+soRg+7PdU7iDvjIIIDD+K2mhP0/G0nyddawZZeyPBTphOcX6NadxWjxkStpCoOHG7SIvVWjPT6dtJvdyAtFxHSCR9aS+jwOkKH1KKNYCLeHBNVWHTtSfKbb72EnR3cM8QIaFz6b8er39woo0RTCUXTSLshbdtm165deYHU1NREJpMBoKamJu9qN3v2bOrq6lQ47v3Atm3a2tr69Eht3769qHOFENTX1w8oWvb3d6RpGoZhjPry0EMPFSWqVE/T+CK1MTZ0uODLDgUgvnJXPmR45JgpXshwNZagZHQ272b147/jzeeeJptOEwiFOGzZaRx7zkeoaZxaavP2mW3r2vnHkslLAAAgAElEQVTDT9di2w5C9jbSSeFiGDofvmZRWVZSc0zU7208lUtaDulNnaTWt5N+sx03aYMhCM2f5LnxHVaLHh1+KMFEFhbP/Hoj61fu6iME+yN0weGnTOPUjy8YQ8smPko0lUg0Fevqdc4559DR0ZEP/52r2NbX1+d7kWbNmjVo+O9SMp4exKPBf/zHfxSdd+HChQdE3Byo3kI1pqn8sNtTtNyyBmkNPRkggF4dIHrSNCqOa1Shf0vM1ldX8+iPbsK1bdyCScA1XUczDM7/wteZu3jYd/K4o2tPknu/+QJyCC9fYcIn/v3EsqukwsT93sZzuaQjybzbRdqfUNfpzICAwOwqwofXEz68DqM2NOC5OWERsruYZyaYHZmCIQLYMsu2ZAtbrArSehWzFtZx+PumI10J0vMIcQu2ZW7t+tv+GilxXe9YPq+bO6dwO3dO73nSBVdKcAf5jFxeV+L6+SnIt+W1Ns/eYTBDOlffcupofiXveZRoKpFoKqaSmkMIQWNjYx+RVFExvieWHM8P4n3lu9/9blFzCJRjb0wsFuO2n/wEu+C76o+h61z3mc+U3KdY4dHx8GYSL+3u28M0AMGDa6i/6vCyDBk+0RpeOpt3s/wrn8X2PQQGwggGufIHt5Zd+R6/azXvvBBDOHGczCs4mTeBLBBADx6GHjwGqUc5aGkd51x5TKnNHRET9Xsrp3JJKbF2JUhtaCe9vg2r2RuKoDWEYWYVqdoQcQnxzgyJzgybX2mljhZOqJyCEBq66HXvc6SDlC4v9rTQJqeMif1CEwjh1eeEADSBJrx0CtK9fAV5tdzaP08IOnYnAHCdzkF/a5ruNaSHK00qa0NEa0NU+ku0NuitJ4UIV5rKK2kEFCua3nsRAw4wa9euLUowmabJl770JUKhgVtTxiOdzbt59Ec3Dfggdh0H13F49Ec3jYsH8Ug4dP581q5fB2KIyqd0WTB//tgZNUpo2QzBps3YjbPwn9y9B70mM4K7tqJlB3+5jncmSgVcWi52R5rEKy3DCiaA7PaeshRMAzW8ZFMp3vjLH1n/zF/KsuFl9eO/w7GGdoN1LJvVjz/MBz997RhZVTyO5ZJN22RSNlbaIZvKbdtsfakTrCay8d/j3Zi5mzOLk3kDJ7MeM3oeW18W7Dm9h3DUJBQ1MczxH3xk9eO/wx3Gfdm1x+/3NhjjuVy25ZDozBDv8JZEZ8YTRB0Z4ikXV0JN2qFxV4LaliRBIbAdSZcryYRMQm43J1RPwdD27lnXhQ5C54TKKTzV1c253zi9j0BBgOaLlwEFjdY/rfc8oQk0ITwX6QLxM5rc+rk/4SabsIb5rWnB2cw9ajLxWJqO3Qm2r2/fy11RNzVfQAULxFUwL7Kik4Jj/htt2rCFp5f/hj3bVoPMgggwefaxnHblpcxcOG9MbdlXlGgaZYrpsQBvMtdyEkwwvh/EI0G6Lq7r4roOru2gtewAKWGo55+UaM3bSSfiaJqG0DQ0XUdoGkJo47ZF5/nfPoDW1UF9VhBoWMCesI2Fg4nO5FSQbOtGMqkOnv/tbzn7s58rtbkjZuurq3nk5u9i21mE/87IplK8tuIJ1v11BRd88RvjpgIupcRN2tjtKZxYGrs9jR1LY8e8fac7CyPo+JeZwXsPxyvl3PAiXdcbp2pbOLaNY9u4to1jW6z/61+Q7tDfh3Qd1j/zF44950J000Q3DHTTRDMMDMNE7IOLruu4ZH2R07u2++4PdCxlk0nbZFIWVtrBHeKxLp1uvxI3UCavYmfFf09Au4L7v/Ny7yHDRYRdjIggENEIRg3C0QAVlSEqqyLUVFcSrQoTqjA9oVVhopuj0wggpfS+I8vCsS1v7W/bBdvr//qXPh4TA+E6Duue/jP1M2Yhkb77lMy7VYH0Xbmk9/PNuXH5aTl7vOO9Ll/eeYB0h7xO7/lurxvYgNeR+Wuse/rPxZXrqT8RrZmEZhjohoGm6+iGd0/quo5mmGiG7t2reu+2pvv5DQNdN/LnOxak4i7JHotUj02i08r3EMU7PGGUTuzt5xkI6VRM8iry0elRKmqCGJOCOEGdUEeamqYeKrZ2geNg11SjM/R9IoTGQcE4DbPLZz66jJPhnarnmNH6BsP91nY2LuKzn/xm/oiUkkzCpieWpieWJt6Rpqc9TU8sQ7wjzbb17SS79q6bhqsCVPYRVX17rELR0euteuHhp1h534/pIwZllj3vvsD9N77EyR//f5x44emj8lkHEuWeN8p868YbcYr4m+pC8NWvfLng4Yr/ICx4cA7wwO19YPd9YEq/16Dvw7cg3bvQkA/z3LX7Pph78z/0vRuxsxkqjBoWVB3HnMrD877E7/asZ2P3yyTsToxAgA/8/bX5SpDrOvlt6bp7pfUey227+eNyoLyul2evY66X5ji2f8ztc470ry3l3s34lbULaG2oxsFFFjwjhAQdjYbWLnpiGwf9PgtFlKbpnrDS9b0ElqbpQ+bVdA2Ry6N527k0LZeWz+uLtn7XzZ+naTz/298wJTiLkxsuQAh9AFcGh5Wtj9Ca3cHHv/k99EAAwzTRzQBGwbam6+NOGHY27+bOf74Wd4gWfs00+NR/3j5mFXDpSJzOnBjyhJETS+UFUn+ho1UGMOpCGLXeoteFab9/I1oRj2VHg9nfXXaASnJgWPHL23h9xZMwVG+8Jjjs5Pdz4kWXDiBQbBwnV+ktSLPtPnn77/fm8yvRQ5xbmNe1bWx/PVwldH8RQkMzDIRmoGkGwm81F0IHdCSat3Y1pNRwXQ3pal4edL8X2fDXuTQv3dXB1SW27mBpNhktS1bPYhk2lm6R1S2yRpaMmSFrZMmaWYywgRkxOf6pGZB5i6G7PzUIHsrbx6WRSYFIC8yMSdAOErSCBO0gAStAwAlgOjrgPXvAAWn7awdXs5BaFqnbCN1GaC6a5qJpEk2T6EKiCYlAouWEhO30CiO7994oG4RA0NvzAb3uWl56rmfET6egp8Q/7uUlnzfZ1VnKEhUg8vewputouie4DNNrMDACJmbQ7G1EKBRuui/QDBPd0NFFgMpUFQ1NU9DE8D0klpshcXbOBU4r+BsKr6FT67+t+fu5fH3zUJinYDt/TU3b69ogSDlpOrIdxNIdxDIx2jMxOtIx2jIxYukYbek22tLt9Fg9LF3XyLzdQYZuPRO8Mz1D07Ig9eF6JocnMzkyuc+6PlJPQ7iBCrMi/952LJd4Z8YTVTlxFUvT05Ghp93btvuNozVMbYAeKm+/si5EtCZUVENH04Yt3H/jFxlYDOY/jUtuuLlkPU5qTFOJRNNNX/wcmcpaGKqCKSVmRyuhlqaxM2yUaAzPG7YC3pzaUtS1vAeoJwo0zRsTlRcFuu6l6freaUbBMV3PC4v+abqRO9Z7nd78vWmrf/MQZ03/FEnd5g19O5v15nxvzHynkSOdWUQcgyd33slxl32sV9C5Lo7tizJ/7eREXx9B6PYKxoJzCwVibj/XC5bLK11P5EnH8QeyFqS5LlI6/iBTxx+I6uTFNECFUcNZ0z+FoQ0elch2szy5804S9uAvWiE09ICJYfpCKhDAMAPei88MYAR8oZVLCwT8/dy2iW6YvhAbII8ZyF9f969XuK3pxl6i7eHbfsCmZ56lcggR32N3cvD7T+XCa79c1D1ZDG7G9sVQrrco1SuQOtN965a66BVEtSGMurC3XxdCnxRCC+i4rsTOOFj+8vq3f8ecyPQ+v6/+ONJha3IHR//rRZhBHSOoYwY80T0Q3r1q96lU5td2YWt8X1HSJ09BmuvY2JYnJvKV1f7bhdf0P6OzefeofQ/D0VvhKmgVNwx0w/SXwrTB8+Za04VmAJonXqSOlBpSCqTUeOX3dzJ0hSCHQaj6DGzLhpxo8AWD9NfevgvYSM1BChuwcbGQ/tqVNlL2XkNI6S2uJyY0Ob4aOIpFgif6fOHniT8DgekJQF8I5gUhOq4GriZxDXB1wAQCGlpAQwtpGCGTQCRAsCJEJBoiUllBRShKJBxl1Y9/jhimhxAAzeCfbr8z3xuYrywPJnb6HB9c7Byohqj/uuxCcIq4H3WTzy9/gJ5Ykp5Ygnh7gnhHinhHkkRnikRXimRXilRPBtexfaHrgnQQwiUY0QiEBcGwhhkSBEICMygwTDACAt3w3k25hgjXya2d3saLgt5b13b65Ot7jre+aOrni/67ZZwUGSdJ2k2ScXqXtJMk4xZsO0mybgo5kq7+A8hwDdMSiVMTxBIOFjYZLGzNxdEkrpDeWpMIQydghggGwoRDESLBCiKhSqKhSirD1VSFq6mOTKIiVOn1FDqCbFKSSUnScZdUwiEdd0l2OyS7bdJxFwp+e6BRUR3MC6uBeqxCFSb3fO0m9rz7AhVG1RDl6mby3KVc8b3SjBtXoqlEounWqz5F5+y52GLwVjlDatRs28IJF5/f27JRzANXy+Xb+8Hbew69LU8jvHY+bZBr/PGHN3PGlMuHrYD/ufVe/u6H30P0EUO+sPGFz0hcUXJRbxzLxbFcbH/t2P627fY9ZvfP5/RuWy623Xu+Y7lE1j3LvKojh62kbul+g436kbiuLCrCzVijaQKh9w4s1TTJQak3iizbWt7IRAAbpF1QgfMqZkJz0HQXTXMQmosQDkI4IByE31ospYOUNtK1cR3LX7wK83CuS8MiRD/BZtLZ2sLUIkT87vRWDlpyXMGLVuQuWbAteg9JCLhBAm6YoBMi6IQI5NZ2EFP2vf8tLNJaijRpUqRIyiQpmSLhpki5aaQjcR3vHnYd795xXXwxTb97SRByd3LW9CuLELp3kaSioKLt4PkoFuznWvQH6F3dH4SmecI3JyryLcW+IDGNvFDOp5smb658Zkgv2BwSOO2frkMYfiOI7vfC+NvC0D0ho+tg+j2thte4IoWGY3ljJ+xMryC1sy52xsXJun66v52VOJncWuJmJU6/xR3G69pK/gUn8wbD9cZowSPpOnIGSS1OnG56RCc9souMkcLS02T1NFk9RVZPY+lZEJKQHqIqWEVVwFuqg9V91lXBKqoD1fk81cFqKs1KIloYzZW94tbuJ4T7iGZfDNtWvmctd/yZe+8s+js7/aqr89917v7I3weF94Rper/lgry53oXCCrErXRJWgu5kD7HOLrq643R3JYj3pEnFs6TjFtmEi52UuGkgpSMyJkY2iO4MHE1S4pIxUqSNOJHYG7iZdcN+byJ4OG8vFvkrAHl37oEq2l5a3/ReHSsHyJu73sDHpOj/Gbn0ga955EthZGYDxdyPZsXpiP4iW5cEKgXBap1ITYBoTZCq2gg1tVFq66JEJ4WJVJmDNtIcSLZ+ZQWmFhw2nyNtQkfXIZMObspGJh1k0oH0EH+TkMAJSrKmTdrIkNRTdGtxuuiiXcZoc2O0OC00Wy3EZQKEJPfVCCkI6UHvN2lWUmVWUWlGqTQriZoVVJpRomYlUaOCoBb0vXjcguh6Ln+955fFvdNSW1iwdJknNi3P5dSyMmSyKbLZDJaVwfaPScdB2i44En10XwNeuTUdhNeghPSEVKGwEpqOa+2mMTx3+Ab39A6+9JuHRt/IYsqhAkGUhiMqlmBmp/F0YD0Oss/DTkiBjuC07OFYFZM47ryLhr1er+seve53eVc+8qEqvcxevnwlzM+Xqy/l3f1c72D+NNl7rV73vIL8/vb8utN8V5HBEUJnfs2pNL1l7S1u+ouWvMhxvO2sg2tLpOXg2q63bbvehHh47xRNgObJO/zgNGiDbvviwU/TNYGmg6kJQv6AUE1AY9UitKGCQOANMD2oahH1VX4+0bvIwrq4wPPpy71Qc5fNpfn70s8nRd9r5fJJATkfLakVvDi13Gf2Xs/b9l+vou+LdtrLQwumXNnmVh5J94e7sCU4tsRxwbbBccCxNKQtkNmCxdJwswL8bZkVYPmF0Dy7NNPbNPDdRPOuODZSt8CwEIaF1G3QLYRmIzULNBs0r1Udv5VdCk+82dhYfgt7NFbDyQ0XDCgucgOCT264gCd33sm7775Nvh4jBZrUqBBVVGiVRLUqonoVFVoVUaOKiF6JIXofja50STpx4lYXcbuHhN1N3F8SVjeWHCiIRv5N2vfeQPoNHgMd89IS2SQrWx8Z9gWTsDswJweRQvf+ysJ7YUl07+Ul/ZeXq4M0vDTXANdAuAZCmr0t+rkXXGErYi4t16IvwDUlju7gGA5Z3cLWLRzdwtazWFrWX2ewtSyWniUr4p4Q0DJkSbNM6Ag5vICWwuA7rzyA6QQx3QCmE8Rwgphu0EtzAgXbXh7DTzfk8HO95P+ewsbSM1haxlvrGSwti6VnsPUMViSDVZntkydXxsL8F7z+KcisZ7hKqhs5nE2HP54XOTMD06gKHjqwGPIFUVAfvoI4FIHw8HmG4vkH78NOp4fNZ4ZCLPnw+fv3Yf3QhEZloJLKQCXTa6aN6Fwr65COW6TiWbq7Ep7g6k4Q706R7DFJJ8J0J44hW4S4MIPHceTG8Tf9x2C4wU6yRbhUGsElbJj1LB3GHrrNGIlAJ4lAJ2kj0ftMAi+AW7O3aEIjYkS8xfSWCrOCCqOCsBmmwqwgYkTy69zxfFruHMPfNiLoWvEBCTqqOqjrmTxsQ2BbZRvHfPw0wBsvtCe5h7ZUG3sSe+jsaCfe1U26O4EVTyMTNlpSEkgbVDtRqhNRapxKauxKprv1A36GFBI7LCGiY0SDBCvDBCrDaFETrcJE99daNIAeNRHB4V3cX3voMU6uH/6dtqLt15x3/VeL/pvlbZaSnnQ3rT3NtPa00BZvpS3eSkeynfZ4G13JDjqTMXpSXWSyaTRXoLsCzQVdCgLSpEqPUqlXENUqqNDCRLQQYREkJIIEMNEtDZl2yaYssukMViaLE6su+l093lE9TaPM1q88hamZdIvkoK5eVTKCIx02WcIXQ/5/AzcmAblKVr/9fvRPG+znOei5w1x/TkDzoscMgysl7bbsFSz4HVeAENIXPr3CxhM1Aq2o9sz9w8LGEQ52wVJnVRfV3S+l5J1QE6L/P0mffQBN5rb9cvl5tFyar7QK0zzN1Ls30LWF7P0U79yxaemzhEVGWGSFRUazyIosGc3y0jU/XVje3xTXW6T0hnxKcKTARSBdgZTeuAxcHelX4jXHRDgmwgmgOwE0Jzhs5XehWD9sL5orHVpTTXSImUQ0QYUOFZogrPX9vi0piUuHbmnRRYZOkSKmJWnXemjXe8jo6X4V5uxelW3br2zntvduHS6Oy5+ci+66vovGscyuPAJTBLBklm0969jYvZqE3Ymjadxz1tYhryUQ6EJH13Q0PzyvrnlCTEMn6IYIuCFMN0jQDWG4QQJuToR4wkR3TAzH29cd018MdMdEcww020CzdTTHQNg6mq0jnIG/k2J7ZPTgkZiRD/RNNiQiIBGmRDMlIkB+LUyJHsBPAy0AWkCgB/pu6wENPSDQAp77kGZ4TTDC730faK3RG+hFEwPn//ltv+eg7ZNx4k/QN+qVVx7Q0KNns2VWGz++4RvD3AHji+LGoWkc9cEPj+sAQAPxo888gZ7ePUC0Msh9b2b0PNzQVP7p+2f09grlGxz7Xm+v+tRe+WS//b6Nnn2vNcg5w3ymlHD3t55Fy+watlxOaCpf+MnZAFiORdJOkrSSJKwECTtB0vL2k7aXll8Xplm9xwq3U3aKYgnpobyAqjArqDB9AeYLq0IB9vara7hu3cXD9sTfOO8OYo1Z9qT20JPt2SuPLnTqQnXUR7xxQfXh+t4xQQVjhWrNSehpgZOwcONZ3ISFE7dwE1bf7XgWJ24NHqBHF+gVOSFletvRQO92hcnWB1cRjUeHHLPlSIfumk6O/PqFRf99c+QayPvUOQsa45G9aUkrRSzZTnuqd4ml2omlYsRSMTpSHXSkYySsZL6+k6u9mMKgNlhLXbCWmuAkTlsxixkVBw1bri09b3DabaUJSKV6mkpEroW6SkY42T6Uk+1DB8ynC51Di28QHRC34OkpB93eO1X2/1/Ifnn7uRx4dX6EU5zBAsjWduBoLq4ucTXXXyTS9z+Xvu+t1L0WG6lJr0FcSNBFPq/X4ytBEwX7vurSBeQa1H3XNHKLhue6o4EwhBeaWQh0Xfd+3ELzKkDCpPIOh2ARP4WMcAheM6+3wkSvT/pA2zkBNVh+BH3Sc/kHOieXH3yhjec+6frCCuH1ZCJ8gSa9qyW+/yZhOXxLdUZkqfz4Qd6wDMsFW4IlwZZIy8W0JRHbze97x11kfu2C5fUM9uZxiwqdDeSGL/TFEAhDA0Pzv3OB1ASuACkEWuvwPYSa0GmMzKERkGEdURVA1ATRav0ADJNDGJODaFGTBuG9VPL/Cioj/dP7/MbkMOn9j+V6gPul53qPb1n7WWbv0EnYnayJrWBNbMUAJRM0TbN56mNP9YqgAlGU2x7u73OgcF2Jnc25xTlYGa8n+YGbOnCK6JHRg0v4xDdPxAzq3hLQfffk8cnUpX+ElpkEtCsGnV/FMcNMXdpdalNHzLHnfIT1z/xl6Dl/TJNjzxl5Ja7UuPM70DfOJFA1+Pcm9SjO/DZC0fKZPNo5OIZWRLnc+W35c0zdpFqvpjpYPTo2uA5pJ+0JsAJRVSis9hJgBWld6S522bt6z7ETuL7bjFvdw2e7rhq0J/7W6rtYE3mb06tP5/jG4/uKoYi3nhScVHwPVwD0qgAw/Dya0nZ9geWLqpzYilt90jPtady4hcz2iqwqqgdv7fbRhc6krjp2ffuFvMjJeQ8VCh9ZsM0gwnw4NGAyMJkIEAFmjuwCOaLDZ9GFzuzKhft2/TFk3IomIcRM4EfAGXi30Qrgeinl9pIaNgw23jjU4bCk5Ifvvw9d0zE0A0M30DUdUzMxNBMjl64Z6P7a1EwM3cine3l714ZmYIje47ljfY4X5DN1s3dbM/OVrcHY+tVniyqbDZzwL+XzAl1edQundS0ZshfNlZK/1bzOVdOuH0PL9p8/z3mOg7c2YuylSHqxcdg6Zw8fXPSBQfPsK9Lx3Cvzi124dgY+ZvnH7MGOefvZInsmpZRM/9bJaIHxP28MwJQzluAsf21I/3NHk0w94xgmRyaPnWEjQNMEgZBBINT3FSNClZjuecO2gItQJTUNkTG0eP+4/MRL+dzGr/P+Nz+Bpp/ap5fMwcbRHP562L38z4k3ldDKfaOmcSrnf+Hrw05qPt5CxBfDOReeyJM/3IRJDVrkA3v3bgKWluWcC08ogXX7zngol67pVGher9FoIKUk42Q4/t7j+eOM13gn+j0u33kmR8ujMUUQS2Z4jde4Z/qf2FzTjJCCH532o1H57JEgDA2jOgjVxbnVulkn32vVeutrRX9O+PC6vAuP6HXlKXD17x3L7hnWL61g3SeNgrRcQ9Ven1Nw3fzkvL3n9n6Ot9129/o+jcKDUegWP14ZlxYKISLAU0AGuBJPH38beFoIsUhKmSilfUPxhrGbo+2pw1bA3zB2c9uHbx9Dy/afdyNxDkpGhy3bu5E4c8fQrv2l8wQb6882wSEkoSVsuo8vv3lxDj3reDJ3bMGQQ4gmYbPgrOMPyOcLXfN6+Q7AlGTbvvFcUQNbXV2UjWACuOKka/jMhks5+eUadLfvq0biCaaVx3Xyk5OuLpWJ+8zcY2p55wWGbQGfe2xdqU0dETOrZvKlj1zDDeFvc2jTycxvO4aAEySrZ9hc/wpvzVzJjWf9KzOr9rGltsTMXXwsV/7gVlY//rA/iXSKQCjsTyJ9YVkKJoBD5x7EO5fsYNP9KTRXQy+oEjnYuJrLwZeEOXTuQSW0cuRMxHIJIQgZnhtfwkqwuaaZG2ruBu4eMP9oibUDjRbQvffTpBAiqBc1/54I6kz6yMFjYN3okNIyRNzhKwFpbfDe7PHCuBRNwD8C84AFUsrNAEKItcAm4Brg5hLaNiTvHtfColVThxxp4gLbjmsdK5NGjWkXHIR7X8uwZZt2Qfk8iAEuOu7v+Pamb/DlbVdhSqPPxHkOLpaw+eHsu/jX475bQiv3jZmz57H63J3UPJZBlzpmwU8+N76r89wgx84uj9m4CwkdOZnMa63DivjQkQ1jaNX+M7NqJl++5Hv8e/TLHLw5xNydEUxbYBmSrdOTbJqf5ptn/7AsK+CnnLOQba+8gByiBVyYcMrZh5XAuv1j2YxlLL/kF9y94W4e2PJtElaCCrOCc+edy9cX/qIsv69Cahqn8sFPX1t245aG45z3n8pbs9/h8YdfxNlcg+kEsPQs7vxOzrnwhLISFoVM1HKdO+9cHnz7QWw5eEh1QxicO+/cMbRqdIgsbiDx0u5hp0SLLC6vd9q22e3M3zqlT/2jPxY222fHOGQM7doXxmUgCCHEX4CQlPLkfunPAEgpTx3uGqUKBNHU3cTtP72Nq9s+nA9wkMP1B8b/rP4PXHvNdWX5En32gWeYtVoMWrbtx0re97Fhv55xx3M7nuMHf/oO5+xZxmldxxF2g6S0DE9Xv8zjk5/jK2f+C8tmlNdEooU0bdvCxidfYta2WkJukLSWYfvsGAvOOp6ZZSiYAOz2FLtvfgXhDP4Mk7pg6hePwajbzxBiJaCpu4m7N9zNY1se61MBv2LhFWX57MixbV07f/jpWmzbQcjeBgopXAxD58PXLGL2EeXV06RQKMaGpu4mLvr9RaTtwSM6howQD533UNk9J+32FC23rPHGBA+CMDWmXL+krN5pTdu2kLljC6EhxlenRYbgP80rWX2krOdpEkI0A49IKa/pl34b8DEp5bCO/KUSTeBVwH/y+59wadMFHOVMx8Ab5/O6vpPfzHyEz5z3mbKugG98bSO7HnmHOclovmzvRuJMu+AgFhy9oNTm7TMTtZI6kUltjNF+z5tI293LjU0YGnWXH0Z4QW2pzFMMQteeJK+taOLtF5vJZhwCQZ1DTmjk6A/OpHpy+YxlUigUY89zO57ji898Edux+/Q4GcIbH37zqTeXbR0rtTFG7FdvIoUyJOAAACAASURBVB13ryGfQteo/WR5vtNWr3xueI+Xk0v3nZW7aMoCN0spv9Yv/dvA16SUw7oVllI0gaqAKxRjhd2eoue5nSRfbUVmHURAJ7K4gcpl08uqNU6hUCgUxTGR61gT9Z02nj1e3pOiSQhxNXA1wKxZs47Ztm3bAbdVoVAoFAqFQqFQlCfFiqbSTOIxPB3ApAHSa/1jAyKl/JmU8lgp5bGTJ4/PULwKhUKhUCgUCoWivBivomk9cPgA6QuBDWNsi0KhUCgUCoVCoXgPM15F06PAiUKIvJOjEGIOcLJ/TKFQKBQKhUKhUCjGhPEqmn4OvAs8IoS4QAhxPvAI0AT8tJSGKRQKhUKhUCgUivcW41I0SSkTwOnA28A9wL3AVuB0KWW8lLYpFAqFQqFQKBSK9xbDhu4uFVLK7cDFpbZDoVAoFAqFQqFQvLcZlz1NCoVCoVAoFAqFQjFeUKJJoVAoFAqFQqFQKIZAiSaFQqFQKBQKhUKhGAIlmhQKhUKhUCgUCoViCJRoUigUCoVCoVAoFIohUKJJoVAoFAqFQqFQKIZAiSaFQqFQKBQKhUKhGAIhpSy1DQcEIcQeYFup7fCpB9pKbcQBYqKWbaKWC1TZypGJWi6YuGWbqOUCVbZyZKKWC1TZypHxVq7ZUsrJw2WasKJpPCGEWC2lPLbUdhwIJmrZJmq5QJWtHJmo5YKJW7aJWi5QZStHJmq5QJWtHCnXcin3PIVCoVAoFAqFQqEYAiWaFAqFQqFQKBQKhWIIlGgaG35WagMOIBO1bBO1XKDKVo5M1HLBxC3bRC0XqLKVIxO1XKDKVo6UZbnUmCaFQqFQKBQKhUKhGALV06RQKBQKhUKhUCgUQ6BEk0KhUCgUCoVCoVAMgRJNCoVCoVAoFAqFQjEESjQpFAqFQqFQKBQKxRAo0aRQKBQKhUKhUCgUQ2CU2oCJgBDiNuAR4E9ShSNUjEOEEBFgkr/bIaVMltIexcD439MlwHRgA/CIlNLtl2ce8K9Syr8vgYmjjhBCB6YArVJKu9T2KN67CCEWAIsBF1gtpdxSYpMUigmDEMIE5gO1flIM2CyltEpn1chQPU2jwz8BTwA7hBDfF0IcXmqDRhMhxIeFEPcKIe4TQpzkp50qhHhFCJEUQmwSQnym1HbuK0KIs4QQPxVCrBRCvCmEWC+EWCGEuEEIMavU9u0rQohpQohbhBBbgR5gu7/0CCG2+seml9ZKRQ4hxGRgLfC/wLeAB4HXB3ieTAauHGPz9hshxOeFEK/7z41P+Gn/iPfibALahRD/XFIjRxkhREQI8ZAQYmGpbRlNhBBThBANpbZjXxFCfE4IcX3BfkgI8SBeQ8Wvgd8Am4QQv/RFfdlQzt9LMQghDvbFbWHaeUKIrwghPuE3PJUtQoipQogzhBB/J4T4mBDiFCFEuNR27Q9CiEVCiIeBbmAd8Ky/rAO6hRAPCyGOKqWNRSOlVMt+LnitUt8H/gI4/rIa+AxQW2r79rNs5/vlaQLeBJLAWUAceA64GVjp57mk1PaOsGxR4I/+9+f6ZXCBLPAy0OmX95pS27oPZTsC2AO0A3cBXwY+7S9fBu4E2vzliFLbewDKfzHglNqOEdp8G7ADWAaE/N/ZW0AX8P6CfCeUYdk+4f+2ngd+D2TwGpts/178DPCA/xs8q9T2jrBs2hBLrV/u9+fSSm3vCMp1PlDdL+0yYFvBe24r8LFS27oPZXsL+IeC/f8GEsBXgKP95ev+8/+GUts7wrI5wCr/91VTantGsVz1/vMjd+/9HggCjxW8w13/npxaanv3oXzvA14oKF/hEvffD2X3ffrvs6T/m/sP4GPAB/zlY37aBj/PslLbO2x5Sm3ARFj8H+rx/vZM4F/8G8QF0ngtxucDRqlt3Yey/Q34be5lD/w7npi4t1++3wCrSm3vCMv2P3ii4WKgAgj4D651eGLQ8F88FnB2qe0dYdn+DPwVqBoiT5Wf50+ltvcAlL8cRdNm4O/7pUX9SkESOM9PK0fR9CJwZ8H+1f6z8dZ++X5TbvfjIJWcwsUt2LZLbe8Iy3V8wf4Ffllewmt4+TLwip/vg6W2d4RlSwKnFuy3AF8cIN/XgK2ltneEZXPxGsxcIAXcD5xDGQn2Qcr1P365rgEuBdYDjwK7gQ/677Mz/f07Sm3vCMt2Jl5j7evAD4FvA0/5dY9vAF8FNvl1k7ISTnhC90FAHyKPjlfPHPd1SOEbrNgPhBAucKKU8qV+6ScCVwB/B9Tgtfr/Wkp5/d5XGZ8IIWLAx6WUf/T364FW4ENSyj8X5Psw8CspZV1pLB05QojdeK2IP+uXfgzeD71BStklhPgf4Ggp5bJS2LkvCCHiwEVSyj8Nk+9DwINSyujYWLZ/CCGuKDLrccB1Usqyca0RQiTxflfP9UvXgbvxWuWuAt4Bni+zsnXgPUee9Pdr8Rosziq8R4UQHwF+LKWcWRpLR47//N+N12PW3zc/jNd7sRx4F0BKeeNY2rev9H+vCSFW4VXCPyj9cXb+vflXICWlPLNUto4UIcQe4NNSykf9/SxeuZ7tl+8DwONSylAJzNwn/O9tKV4j4JXAR4FKvPf2vcDdUsq1pbNw3xBCbAF+IKW8w98/Hq9n5hop5c8L8l0L/LOU8qDSWDpyhBAvANullJf0S/8GcJWU8hAhRBTPg+nJMqtDJoFzpJRPD5PvdOAxKeW4dq9UgSAOIFLKF4AXfN/p8/EE1LVA2dzwE5wavK78/mwBTLxewy48F76rxs6sUSGFV77hqMFr8S8X7gIkIIrIW24tQruAeXhur3mklI4Q4pN47kN341XOyw0TzyUvR5e/buuXrx3PDaecOAW4A+8Zf62UcmXugBCiGk803dm/Ql6GLAYukwWBSfx78yd4rkPlxP9v777j5arK/Y9/vgQwgJciJKCgJghKANGLRINcuDQlokIQxaA0QaJSwkV+XgEpAfnRm1hRgYC0SBGkBRQTUBMBgwEMvQQEQkuhhBJMnvvHs4ZMds6ZUzIz++yV5/16zeucvWfNzLNm75lZa682AdgXb6kAbzHbBh9nUW9bfBxo1Vi6+PJnSQcBu+AVqEOAQyXdi3+XXmpmL5YXZo+shXfjqpmW/j5QSPcA8N62RNQ8mwDHdrD/XOAESR82s4clnY739qlSGXIOMBj/zDUyOKXt02IiiDYws3lmdqWZ7YTPilUl0/Afl5r98RN7z0K6PYCH2xVUkzyAN/MXfQ0fa1H7sXwT7+pQJdcCp0vaqrMEkrYETgWuaVtUS24WXnFYv4vb6LICXAKT8ZnzFmNuFD72Yr+2RtUcM4BBtQ0zmw8cjI+PqbcOfowrw8wmAZuSuhZKOl9SZVrce2A+3o2t6Dm8e3OVHAtsI+nKNLnR0cDBks6S9Pl0Owfvgli1CuEizOxNM7vMzIbjFwIPx7tDnYWPVa6KGcAGddsbFP7W75/Rloia5zV8BtGi9+IX/+an7UeAqk30cQleFtlL0mIttmkSlj3xssilbY+uh6KlqTmeZNGrqJ0ys+KV1b7uFOBaSU/iV7rXw/u2XyxpIt5cPBS/2rpHWUH20onAbyUNAsbjfYqH4d0Zfm1mr6R0GwMPlRHgEvh/+FiYCZKexftCz073rQZshFfg/5bSVsUUYF0ze6xRotT1smouAL4taXUzm9lRAjM7TNIL+CQRVXI3PvD3nVYyM/tpB+m2B/7RrqCaxXyq9BMljcNbnR6SdATeT7/Kxkiq/WbNw68G/7WQ5v1Ur6L7QOp6dyELW3aFX2ypXXCZB5xgZmeXEGJLmNlz+JiZ0yRtivd+qYrrgR9Kmo/PBns08Dv8HH0UL4t8EjgKuKm0KHvnevz744la9+w0Q+B5+Ji62u9dbXhElRwFvA9v2fxlms23viwyGO9KOg6fD6BPizFNoUuShuMtS8sDvzSzP6TxWj/GKxTPAT82szNLDLNXJO0OHA/U+j+/iF/NP83S2gGStgfmVbF7jaSdgS/ilaTa2gizWTiI9vdWoS8BSScCB5nZyl2k2wo4zsy2aU9koZHUH395M2tYuJY0CrjPzCa3J7LWSN0pz8C7XG4CbFO17w9J01m8i+vvzeyQQrrLgAFmtn27YmsWScK75W2BF+yWwbuITgNu6up87Ys6G2NddWkc5HX4eC2A2/AJLn6N9xipnaszgE+Z2TNtD7KXUsv0BPx3+g18bOTK+Lm4S63Lb/r9W9PMKtfbIE0pvhOwIYuXRa4zs6llxdYTUWlqMfk6P89aLNrYp6Uvrflm1uf71IYQ+j5JqwH/HxgCHFLFwffdIWkkfjX8jrJjCSBpb3xAfYet1VUnaX38Asy0un2fZ+EF3KvN7NWy4ustScvj3bM/hXfHewgfc/ZywweGtopKUwulmYXmAUPN7O6y42m2nCuEOectVFua3fFAM9u3y8QhhBBCaIqYCKL1ujPLV+WkCuETeNeTrOSctyJJn5B0ftlxhB4ZhM+ElR1Jw9PUwiGUTtJWkv5UdhwhVJmkFSXtI+kHkr4kabG6h6R1q1AWiUpT6+XclJdlhTDJOW/1BpFhATwKO5W1EvDBsoNoBUm7pkHsWcm8ojsA+O+yg2iFXI9brvmCauZN0gDgXuB84If45Dj3SNqokHQAFSiLxOx5rZdz4TvnCmHOeVsaVK6wk2OBuqbR1PcFxR/S0PdVrqKbul93x4CWBlKuyh23bso1X1DNvB0H9Md/j+8CtgbOBiZJ2tnMJpYXWs9FpamF0sJ/6wHvkbSimb1edkxNlnOFsNJ5y7UAnnlh59/4j0pXiwAOwRerrJKJdO9ChLqZrs+Q1N1pm4e2NJAmy7yiO518z8csj1uu+YK88wZ8FjimNpU6MF7SZvi6djdK+qqZXVdeeD0TE0G0WFoRfhawdd1JkwVJHwSeyXGyBEmbA/8ys6fLjqU3JL1FDwrgZtav9VEtuTSdbrcLO1XJF4CkvwNPmtmuXaTbFfhtxfL2MnALvoZRI1sBR1Usb7VzsjsXWipzTmb+WZsL3E7X62htBoyqWN6yPG655guyz9vrwA7F8m8aO34R8BVgH+AxYFJfz1u0NDWBpOMb3P0u/ET/pqTP4Cf8se2JrDUkrYEvADgUMEl34Os0VWpNC0lbAyua2Y11+w4GjiCtzi3pabwQ95tSguy9+4DnzezoRolSAbxKrRZv0IPCTuvDaaopdH/R2qq1hN4NrGJmtzZKJGnVNsXTTLPw9WNO6CLd5/A14KriVXpQ0W19OE11D77ExHmNEkmaQ/W+R3I9brnmC/LO27PAuixcRBp4pyfWHsBcvPJ0QQeP7XOi0tQcR9H4SqPhi8PW/q9MpUnSLGD72pTpkt4PTALWAh5OyT4L7CNpmJk9X06kvXIqcAVwI4CkA/BCzXj8Cwy8oDNW0jwzG1dKlL2TawE858LOOcBfu5HuRnwV9SqZgl9N7Mpc4KnWhtJ0U4B1zeyxRokkzWhTPM2Sc0V3CvDlbqat0vcj5Hvccs0X5J23yfj6UxcW7zDv6jZK0qvAoVSgK2zMntcctwDPA7ub2TL1N3zlY+Hd85bp602PHViVRSvXJwPLA580s43MbCNgGPBuYEz7w1siHwHqV6E+FPi5me1oZmen2w74rC9HlBJh750DNGxlSqpWAJ8CfKKbaStV2DGzaWZ2UTfSvWFmT7YjpiYaQzeOm5mNN7MqnY/g5+R/diPdi3graVVMATbtRroqVnRPBkZ2lcjMrkq/41WS63HLNV+Qd94uAOZKWr2zBGZ2GF7G6vPfjzGmqUkk7Q6ciU+teKCZPZr2rwLMxitNff6EKEp9bYeZ2Z1p+yXgeDM7p5DuMGC0mVVmZpd0dWNE7eqOpLeBzxRnc0ndKq8zs/7tjzLUk7Q2sJ6Z3VZ2LO0Uiy2HdpP0bmD1ClbQl2q5Hrdc8wV55y03VbuC0meZ2WXAhsCTwL2SjpP0rpLDaoVVgX90sP9uvMteldyNd7+reRLve1u0Ll7xzYKkD0iqZNdcM3tmKawwZb3YsqS9JK1WdhxhUWb22tJYiEtrvK1Udhy9letxyzVfkHfeGqnid39UmprIzGab2Sh8jM+uwDRgRyrQT7MLm0naVtK2eBeTlTtIsypQtSnVTwFGSzpY0vL4wmsnSdpZ0krp9iV8gHdXEw9UQs4F8KoXdrpQqa6G3ZXOxwuoVhfRbpE7RlLVLiZ1qYqFne5I5+MEvOt2djI+blnmC/LNW1W/+6PS1AJm9he8j/tYoOGA9Yr4MfAH4I/4rHIdLRq6Kd5SUxlp1ryD8crTTOAgfBG2q4FX0u0KvMtl1cY0NZJdATz3wg7Vv/DSSHbnY7IMPunP+8oOpJmqWtjpgSzPx1yPW675grzzllTus1bJLjpVYGZvAydIuhDv3jW1i4f0Vdt0sO/lDvYNxhcrqxQzO1fSeGA/YAt8esxl8ErUNOB39VOSZyLXAnjlvoB7IOe85SzX45ZrviDf70fI97jlmi/IO2+VE5WmFjOzfwH/KjuO3uru+BEz26PVsbRK6kt8TNlxtFGuX8JZFnbSehaD8Qp9bgxvoX6r7EBCSHL9fgyhL6nkd39UmkJYimReAM+2sJPrIGEzW0C+XU8MuA1fuDInlSzsdIeZzSffYQu5Hrdc8wUZ562q3/0x5XgIGZJ0I3AtMM7M5pQdTztIEjAAmFXVqbklLYd3Fd0F2Bhf520BMAP4C76O2B3lRbjkUh7Xw/MGMAt4NHVpDiGEEPqkXK+ohLC0Gw78DJghaZykHSVl8XmX9C1Jf5U0WdJX0r7d8QWmZwAvSzotVaIqQ9JAfJHDn+ETqxi+kPRy+Pi6TwKTJJ1YWpBLQNImkq7BJ1j5J76Q4e3p/1ckXSPpY2XGGJYekkZIulbSVZK2Tvt2lHS/pHmSHqh9v+RC0vKSRkvKanKSXEn6iKSRknaT1NFyKH2epNclXSZpeA5lkMpnIITQqcOAS/EK1HXAM6ky8dFyw+o9Sd8Afo53xZsDXJz2XQjcAhyKt7B9FxhVVpy9dDo+nf9QMxtgZuvgk8hMBl4zsw2BzwPflbRXiXH2mKQtgb8BG+CzVY7El2b4bPr/FODDwOSUNjuSdpU0v+w4ekLS2pLGSPqVpEPTYu3FNEMk/amM+HpL0ufwWVL/Ez/vxksaAVyFX3z5ET7h0WWShpUWaPOtAJwFfKjsQHoqXXTpX9i3laTbJb2RCucTJH26rBh7Ky178j912/0lXQXcj/+GXw48Ium8NKNelfTHl+C5AXha0qmSNi45pl6L7nkhZEjSAmCYmd0paQXgS8BewHZ4heMefEr8S83spdIC7SFJU4A7zew7aXt/fEr8X5hZ/Y/OT4BPm9mm5UTac5JmAqPN7JLC/g3w1pi1zOwlSScAw81sszLi7A1Jk/BWwN3SuJGO0vQDxgFrm9nm7YyvHSTtCvzWzCpR6JE0CPg7sBq+Pt9A4AXg62Z2a126TwGTqpIvAEkT8RbPXdI4z2Pwi0w3mdnIlEbAzcDrZjaitGB7SNLtDe7uB2wO3IdXCs3MOlpCpM9JFxw2N7M70/Z/AX/Cx+fekJJ9AV8WZQszm1JKoL0g6UHgdDP7ddr+EfBN4Dj8YiDA54CjgVPM7LhSAu2FVBbZDlgH2BvYGi+D/AMvg1xmZjPLiq+notIUQobqK02F/e8F9sQrUBsCb+MFhUoUCiTVCjq3pu1VgNnAdmY2oS7dZ4ArzWyxK+N9laTXgS+Z2fjC/gH41e+Pmtk0STsAV5tZZRbyTXn7fP0x6iTdtsD1ZrZieyJbcj1o9RsKHFCVyoWki/FuosPN7ClJQ4BfAMOAb5jZpSldFStNLwL7mtl1aXtNvFL/hfolJiTthhdSKzNgPX33Pw882MHdy+JLa9yDt9RjZh0tK9LnFH/TJN2Kj4vc0sxeS/tWxsd+PmZmu5QWbA+l78fP1WYrlvQ8ft6dWUh3OPCtCp6P9cdtHbwMsife82AecCPeW+SGvj4eOWbPC2EpYmYzgFOBUyV9Ar/yM7LcqHrkDaC+QF37v38h3QrAm22JqHmmAN+RdEuaWahmNJ7vx+v2VW02pTn4TEkNK00pTdUmLhmLjz/rzhi6Kl2l3BL4vpk9BWBmD6RK7U+BiyStYmY/LzXC3lsJb2mqqbW2P1dI9xywVlsiap4jgR/glaYj6icCkrQqPvHKIWbWqEWqCoYB+9cqTABm9oqkM/CuzlUyF6i/wLca3spbdBcwph0BtYqZPQ2cBJwk6ZN4GeSrwAj8cziwxPC6FGOaQlhKmdkUMxsNVGlQ8FTgfyStkLrPHAk8Axxc6+staVngAHzyhCo5Bu+C8aCkn0o6S9JkPI+nm9kbKd2mVC9vlwCnS9qrOC4B3unDvydeob+07dEtmVnARcD6XdxGlxVgL62Bf7beYWbzzezbeKH0J5K+X0pkS+4FvLtQzQLgDBavNK1Fx4u591lmdjLwMfwCxEOFltAqVdq70g+fjrtoOj42tEomAPvWbU8BOmoB3BZ4qi0RtYGZ3WlmBwLvBb4MTCo5pC5FS1MIebqNRa+kdqqvN4cXHA/8Ae+SV5uieht8APeDku4BPo4XGHYsJcJeMrMJkrYDjsW7T84HHgL2rHWFSm7CJ7uokqPwyvlY4JeSnsCPIfhV1cH4TIHj8KvkVTIFWNfMHmuUSNKMNsXTLE8BGwF/Lt5hZodLehW/YnxTuwNrgqn42IpLwAf2AN/rIN0W+HjCSjGzx4Hhkr4GnClpP+DbVH99vlGSvpD+f5WOL/i9j4pVdPHv/L9JuhI4Ex+7dHlqGfxjSrMDfgz/t5wQWyctN3F1uvVpMaYphFApafa/3fGpuMemcT7r4QW4jfGrxT8xs6tKDDN0QD6l+E74eLraOk2z8Zaz68xsalmx9ZZ8CviDzKzh1W1JWwHHVWgMybnAhmbW6WyGkkbjs7FRsTFNHwDebWb3d5HuWODu2tinKkoF79OBPYDz8IL3NlXrnpfGxhT9xsz2LqT7JTCk0XnbF0naDB/Xs0FtF4u2DM4DTjKz49sd25JIn6FfmVnVK+xAVJpCCCGEUJDGPI4ETm40u5WkkcAOZvaNtgUXeixN5f8LYAiwddUqTd0l6TDgITO7vuxYeip1Od8Gb+F8Hz6EZiZ+UekmM5tVYniBqDSFEELoI1JrzBgz27bsWEKI8zGE9qjKZy0mggghhNBXDAAqsW5MT6WFOCu1CGx35JqvJM7Hisk1X5B33qjIZy0mggghhNBSaQxJdwxoaSDlqkShoBcql684H4EKHrduyjVfUMG85fZZi0pTCCGEVptO96Y7Lg5+7vNyKxTU5JqvZDpxPlbquOWaL8g7b2T2WYsxTSGEEFpK0lzgduDKLpJuBoyq2ExsC+hBoaAqecs1XxDnYy0pFTpuueYLss9bVp+1aGkKIYTQavcA883svEaJJM0BRrUnpKZ5gx4UClofTtPkmi+I8xGqd9xyzRfknbesPmtRaQohhNBqU/AV37tDrQykBbIqFNTJNV8Q52MVj1uu+YK885bVZy1mzwshhNBqJ+Nr/jRkZleZWdV+l6YAn+hm2j5fKKiTa74gzseaKh23XPMFeectq89ajGkKIYQQeknS2sB6ZnZb2bE0U675yl2uxy3XfEHeectNVJpCCCGEEEIIoYE+3xQWQgghhBBCCGWKSlMIIYQQQgghNBCVphBCyISkMZJMUhYzo0r6eMrTe8qOpS+QNFbS02XHEUIIS6OoNIUQQuirPg4cC0SlKYQQQqmi0hRCCCEEACS9q+wYQgihL4pKUwgh5GeIpAmSXpc0Q9Lxkt75vpfUX9JZkv4p6TVJz0m6TtIG9U8iaS1JF0p6VtJb6bmulzSwLs2Kkk6R9ISkeenvD+pfrzOSPizpd5JekPSmpKckXSFpWUn7ABekpI+kbocmaVB67LKSjpD0YIrtWUlnSOpf9/yD0mMOkHRmep3XUx4GdSO+iZL+Iml7SXenx/5T0i6FdGMlTe/k8RPrtrdO8YyQdK6kWZLmSDpbUj9JQ9PrzZU0TdIOncT1aUl3pfdsuqSDO0gzWNIlkl5M78/UDuKudefcWNLNkl4DftvV+xJCCEujLPq9hxBCWMQ1wPnAScAOwNHAAmBMuv9dwH8AJwAz8O5vBwCTJQ0xs+dSut8AHwS+B/wLWBPYDlgRvOIC3AxsCPwQuA8Yll7vPcBhXcR5AzAb+A7wErA2sCN+Qe+GFN9RwFeA2lieGenvxcAXgVOAScCQFMMgYNfC6xwBTAW+AQwETgRukbSRmb3dRYwfAn6Ev5cvpTxdIWkDM3u0i8d25mzgauCrwFZ4HvsB2wOnAc+kfVdL+qCZvVT32JWBcXi+H8UXjjxH0qtmNhZA0vuBO4AXgEOBF9NrXSVphJn9vhDPtcB56TkX9DJPIYSQNzOLW9ziFre4ZXDDK0UGHF7Y/yvgVWDVTh7XD68IvQocWrf/NWB0g9fbM73eVoX9PwDmAQMbPHaN9NidGqTZJ6VZr7B/y7R/r8L+r6f9H0/bg9L2/cAydem2SPv36+L9nAi8Daxft28gMB84sm7fWGB6J4+fWLe9dXrd8wvp7k77/6tu3yZp396F1zFgZOHxfwCeZOHai+fhFaXVO0g3tYPz5ZCyz924xS1ucevrt+ieF0II+Sl2sboceDewcW2HpN0k3SFpDvBvYG5K85G6x90FfE/SIZI+KkmF5x2OF9Ynpe5yy6bWp1uA5fBWJ+rvSzcBM4HHgZMl7S9p/R7kbzheKbuyg9cFb72pd6WZvdOCYmZ/xVuuNu/Gaz1iZo/UPfYFvAXnAz2It+imwvaDwFwz+0thH8D7C2nnA1cV9l2e4lk7bQ8HbgReLrw/NwMfk7Ry4fG/60UeQghhqRKVphBCyM/znWyvDSDpi3gXrweArwGfAobirRP96x73VeD3wP8C9wLPSDqmbrzSQLz73tuF253p/tXT3+L9/21mBnwG+Dve9e1hSY9L+k43tD/QrQAAA3ZJREFU8jcQWB6v6NU/7wuF1+3s/ajtW7uD/UWzOtj3Fou+Tz01u7A9D5hTv8PM5qV/i68z2xbvUrjI8cXfn71Y/H0/Ld1ffH9mEEIIoaEY0xRCCPlZE2/Fqd8GHysDPg7mUTPbp5ZA0nIUpvZOrSoHAgdK+giwN3AcXrn6Od5a9ASwWydxTE9/hxb2P5Se/3Fgr9Ty9DHgIOBnkqabWbE1pt5M4E28m15Hni1sr9lBmjXxcU7N8CZeiStaHY+1mVaTtFyh4lQ8vjOBP+NjlDpSfH+sifGFEEKWotIUQgj52Q04uW57JD4+6b60vSLeJa/envjYpg6Z2UPAkZK+zcJufuPxSRdeM7MHGzz2742CTa1OUyV9F9gvPf9NeIsOwAqFh4wHvg+sYma3Nnru5MuSxtS66EnaAlgHmNyNx3bHk8CakgaY2YvpNT6Ed3Wc1KTXqOmHv+eX1+0bCTzFwkrTeLzr4TQze6PJrx9CCEulqDSFEEJ+9k9d6O7CZ8/7JjDGzF5O948HRkg6C7ge2Aw4mLouYpJWAf4IXIKPr3kb2BlYjYVjhy7BZ6S7VdIZwD14i8uHgJ2AEWb2ekcBStoEn5VuHD4LXD984od/A39Kye5Pfw+UdGGK4V4zmyjpMnxM05l4d8AF+MQPOwLfN7OH617uP4BrJJ0LDMC7Az4CXNTVG9lNV+Az912c4lkDn7HvpYaP6p1XgVMlrYHnYXd81r19UuUT4Bj8Pbld0k/wFr/V8Mrouma2bwviCiGErEWlKYQQ8rMz8GN86u+X8am7f1h3/6/wCQb2Bb6FV66+yKITAryJz+q2Pz5uaQHere7rZnYtgJm9ndYSOhwYBQzGxxk9hk8ZPo/OPYe3jnwXb/V5E28J+4KZTUnPf4+kMem598fH4Q7GKwF74BW9ffHZ+t5K+29m8TFMJwHr4bPPrQRMAA7qYGxQr5jZo5K+jL/P1wAPp3wd2YznL3gFb1n6EfBRPK+HmNmFdfE8JWkzfHa8E/GK4kzgn8CFxScMIYTQNS28MBVCCCHkIy1g+wSwv5n9utxoQgghVFnMnhdCCCGEEEIIDUSlKYQQQgghhBAaiO55IYQQQgghhNBAtDSFEEIIIYQQQgNRaQohhBBCCCGEBqLSFEIIIYQQQggNRKUphBBCCCGEEBqISlMIIYQQQgghNPB/TxS1gAjqlFgAAAAASUVORK5CYII=n”, “text/plain”: [

“<Figure size 1008x576 with 1 Axes>”

]

}, “metadata”: {}, “output_type”: “display_data”

}

], “source”: [

“# First calculation for local base-step parametersn”, “segments, energies, error = eyDNA.getLocalDeformationEnergySegments([4,20], boundDNA, span=4, n”, ” helical=False, which=’all’,n”, ” err_type=’block’,n”, ” tool=’gmx analyze’)n”, “energyTerms=list(energies.keys())n”, “print(‘Keys in returned dictionary:\n’, ‘\n’.join(energyTerms), ‘\n———–‘)n”, “n”, “# Now plot the datan”, “fig = plt.figure(figsize=(14,8))n”, “fig.subplots_adjust(hspace=0.3)n”, “mpl.rcParams.update({‘font.size’: 16})n”, “n”, “xticks = range(len(segments))n”, “n”, “ax1 = fig.add_subplot(111)n”, “ax1.set_title(‘Local base-step parameters’)n”, “n”, “for term in energyTerms:n”, ” ax1.errorbar(xticks, energies[term], yerr=error[term], ms=10, elinewidth=3, fmt=’-o’, label=term)n”, “ax1.set_xticks(xticks)n”, “ax1.set_xticklabels(segments, rotation=’vertical’)n”, “ax1.set_xlabel(‘base-step number’)n”, “ax1.set_ylabel(r’Deformation Energy (kJ/mol)’,)n”, “plt.legend()n”, “n”, “plt.show()”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

***n”, “n”, “n”, “Same as the above but energy is calculated using helical base-step parameters”

]

}, {

“cell_type”: “code”, “execution_count”: 10, “metadata”: {}, “outputs”: [

{

“name”: “stdout”, “output_type”: “stream”, “text”: [

“Keys in returned dictionary:n”, ” fulln”, “diagn”, “x-dispn”, “y-dispn”, “h-risen”, “inclinationn”, “tipn”, “h-twist n”, “———–n”

]

}, {

“data”: {

“image/png”: 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n”, “text/plain”: [

“<Figure size 1008x576 with 1 Axes>”

]

}, “metadata”: {}, “output_type”: “display_data”

}

], “source”: [

“# Secind calculation for local base-step parametersn”, “segments, energies, error = eyDNA.getLocalDeformationEnergySegments([4,20], boundDNA, span=4, n”, ” helical=True, which=’all’,n”, ” err_type=’block’,n”, ” tool=’gmx analyze’)n”, “energyTerms=list(energies.keys())n”, “print(‘Keys in returned dictionary:\n’, ‘\n’.join(energyTerms), ‘\n———–‘)n”, “n”, “# Now plot the datan”, “fig = plt.figure(figsize=(14,8))n”, “fig.subplots_adjust(hspace=0.3)n”, “mpl.rcParams.update({‘font.size’: 16})n”, “n”, “xticks = range(len(segments))n”, “n”, “ax1 = fig.add_subplot(111)n”, “ax1.set_title(‘Local base-step parameters’)n”, “n”, “for term in energyTerms:n”, ” ax1.errorbar(xticks, energies[term], yerr=error[term], ms=10, elinewidth=3, fmt=’-o’, label=term)n”, “ax1.set_xticks(xticks)n”, “ax1.set_xticklabels(segments, rotation=’vertical’)n”, “ax1.set_xlabel(‘base-step number’)n”, “ax1.set_ylabel(r’Deformation Energy (kJ/mol)’,)n”, “plt.legend()n”, “n”, “plt.show()”

]

}

], “metadata”: {

“kernelspec”: {

“display_name”: “Python 3”, “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”: “3.6.6”

}

}, “nbformat”: 4, “nbformat_minor”: 2

}