{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Peak fitting with LMfit\n",
    "Charles Le Losq, Geophysical Laboratory, Carnegie Institution for Science. 7 April 2015. Updated 2025\n",
    "\n",
    "This IPython notebook is aimed to show how you can easily fit a Raman spectrum with Python tools, for free and, in my opinion, in an elegant way.\n",
    "\n",
    "This fitting procedure is much less \"black-box\" than existing GUI softwares. It probably is a little bit harder to learn for the newcomer, but rewards are much greater since you can control all the procedure in every single detail.\n",
    "\n",
    "In this example, we will fit the 850-1300 cm$^{-1}$ portion of a Raman spectrum of a lithium tetrasilicate glass Li$_2$Si$_4$O$_9$, the name will be abbreviated LS4 in the following. \n",
    "\n",
    "For further references for fitting Raman spectra of glasses, please see for instance: Virgo et al., 1980, Science 208, p 1371-1373; Mysen et al., 1982, American Mineralogist 67, p 686-695; McMillan, 1984, American Mineralogist 69, p 622-644; Mysen, 1990, American Mineralogist 75, p 120-134; Le Losq et al., 2014, Geochimica et Cosmochimica Acta 126, p 495-517 and Neuville et al., 2014, Reviews in Mineralogy and Geochemistry 78.\n",
    "\n",
    "We will use the optimization algorithms of Scipy together with the library lmfit (http://lmfit.github.io/lmfit-py/) that is extremely useful to add constrains to the fitting procedure."
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Importing libraries\n",
    "So the first part will be to import a bunch of libraries for doing various things"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np # For data manipulation\n",
    "import random\n",
    "import matplotlib.pyplot as plt # For doing the plots"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We need in particular the library lmfit created and maintained by Matt Newville, CARS, University of Chicago, and available at http://lmfit.github.io/lmfit-py/. See the documentation on the website for installing and using this one."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import lmfit\n",
    "from lmfit.models import GaussianModel"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And we import rampy (as rp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "import rampy as rp"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Importing and looking at the data\n",
    "Let's first have a look at the spectrum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Fig. 1: the raw data')"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# get the spectrum to deconvolute, with skipping header and footer comment lines from the spectrometer\n",
    "inputsp = np.genfromtxt(\"./data/LS4.txt\",skip_header=20, skip_footer=43) \n",
    "\n",
    "# create a new plot for showing the spectrum\n",
    "plt.figure()\n",
    "plt.plot(inputsp[:,0],inputsp[:,1],'-', linewidth=1.0)\n",
    "plt.xlabel(\"Raman shift, cm$^{-1}$\", fontsize = 12)\n",
    "plt.ylabel(\"Normalized intensity, a. u.\", fontsize = 12)\n",
    "plt.title(\"Fig. 1: the raw data\",fontsize = 12,fontweight=\"bold\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are interested in fitting the 870-1300 cm$^{-1}$ portion of this spectrum, which can be assigned to the various symmetric and assymetric stretching vibrations of Si-O bonds in the SiO$_2$ tetrahedra present in the glass network (see the above cited litterature for details).\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Baseline Removal\n",
    "\n",
    "First thing we notice in Fig. 1, we have to remove a baseline because this spectrum is shifted from 0 by some \"background\" scattering. For that, we can use the rp.baseline() function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "roi = np.array([(860,874),(1300,1330)]) # The regions where the baseline will be fitted\n",
    "y_corr, y_base = rp.baseline(inputsp[:,0],inputsp[:,1], roi=roi, method='poly', polynomial_order=2)# We fit a polynomial background.\n",
    "\n",
    "plt.plot(inputsp[:,0],inputsp[:,1],'-', linewidth=1.0,label='Raw data')\n",
    "plt.plot(inputsp[:,0],y_base,'-', linewidth=1.0,label='Baseline')\n",
    "plt.plot(inputsp[:,0],y_corr,'-', linewidth=1.0,label='Corrected data')\n",
    "plt.xlabel(\"Raman shift, cm$^{-1}$\")\n",
    "plt.ylabel(\"Normalized intensity, a. u.\")\n",
    "plt.title('Figure 2: the baseline correction')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We could also use the `rampy.plot_spectrum` function to vizualize the baseline."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "line": {
          "color": "blue",
          "width": 2
         },
         "mode": "lines",
         "name": "Spectrum - Original",
         "type": "scatter",
         "x": {
          "bdata": 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",
          "dtype": "f8"
         },
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",
          "dtype": "f8"
         }
        },
        {
         "line": {
          "color": "rgba(0, 0, 0, 0.8)",
          "dash": "dash",
          "width": 1.5
         },
         "mode": "lines",
         "name": "Polynomial fit",
         "type": "scatter",
         "x": {
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",
          "dtype": "f8"
         },
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",
          "dtype": "f8"
         }
        },
        {
         "line": {
          "color": "blue",
          "width": 2
         },
         "mode": "lines",
         "name": "Spectrum - Original",
         "type": "scatter",
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",
          "dtype": "f8"
         },
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              "solidity": 0.2
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             "solidity": 0.2
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         "text": "Fig. 2: the baseline corrected spectrum"
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   "source": [
    "fig = rp.plot_spectrum(inputsp[:,0],inputsp[:,1],\n",
    "                 baselines=[y_base,], baseline_labels=['Polynomial fit'],\n",
    "                 xaxis_title='Raman shift, cm-1',\n",
    "                 yaxis_title='Normalized intensity, a. u.',\n",
    "                 title='Fig. 2: the baseline corrected spectrum')\n",
    "# we can add a new line as well:\n",
    "fig = rp.plot_spectrum(inputsp[:,0],y_corr, fig=fig)\n",
    "fig.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we will do some manipulation to have the interested portion of spectrum in a single variable. We will assume that the errors have not been drastically affected by the correction process (in some case it can be, but this one is quite straightforward), such that we will use the initial relative errors stored in the \"ese0\" variable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
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   "source": [
    "# signal selection\n",
    "lb = 867 # The lower boundary of interest\n",
    "hb = 1300 # The upper boundary of interest\n",
    "\n",
    "# Extract the signal of interest\n",
    "sp_fit = rp.extract_signal(inputsp[:,0], y_corr, [[lb, hb]]) \n",
    "x_fit = sp_fit[:,0]\n",
    "y_fit = sp_fit[:,1]\n",
    "\n",
    "# the relative errors after baseline subtraction\n",
    "ese0 = np.sqrt(abs(y_fit))/abs(y_fit) \n",
    "\n",
    "y_fit = rp.normalise(y_fit, method=\"intensity\")\n",
    "\n",
    "#calculate good ese\n",
    "sigma = abs(ese0*y_fit) "
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Last steps before fitting the spectrum\n",
    "\n",
    "So here we are. We have the corrected spectrum in the sample variable. \n",
    "\n",
    "But before going further away,we need to write a function for the optimisation. It will return the difference between the calculated and measured spectrum, following the guideline provived by lmfit (http://lmfit.github.io/lmfit-py/) Please note that I do the fitting this way because it gives a pretty good control of the entire process, but you can use directly the builtin models of lmfit (http://lmfit.github.io/lmfit-py/builtin_models.html) for fitting the spectrum. Doing so, your code will be different from this one and you don't need to define a residual function. In such case, you want to look at the example 3 on the page http://lmfit.github.io/lmfit-py/builtin_models.html. But let's just pretend we want to write our own piece of code and use the Gaussian function implemented in Rampy.\n",
    "\n",
    "The shape of the spectrum suggests that at least three peaks are present, because of the two obvious bands near 950 and 1080 cm$^{-1}$ and a slope break near 1200 cm $^{-1}$. From previous works, we actually know that we have two additional peaks (See Mysen, 1990 or Le Losq et al., 2014) in this spectral region located near 1050 and 1150 cm$^{-1}$. So we have to fit 5 peaks, and hence, we have 5 intensities variables a1 to a5, 5 frequencies f1 to f5, and 5 half width at half peak maximum l1 to l5. This makes a total of 15 parameters. Those variables will be stored in the Parameters() object created by the lmfit software (see http://lmfit.github.io/lmfit-py/parameters.html), we will go back on this one latter. For now, let just say that the Parameters() object is called \"pars\" and contains the various a1-a5, f1-f5 and l1-l5 parameters, such that we can have their values with using a1 = pars['a1'].value for instance.\n",
    "\n",
    "So let's go. We create the function \"residual\" with arguments pars (the Parameters() object), the x axis, and, in option, the y axis as data and the errors."
   ]
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  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [],
   "source": [
    "def residual(pars, x, data=None, eps=None): #Function definition\n",
    "    # unpack parameters, extract .value attribute for each parameter\n",
    "    a1 = pars['a1'].value\n",
    "    a2 = pars['a2'].value\n",
    "    a3 = pars['a3'].value\n",
    "    a4 = pars['a4'].value\n",
    "    a5 = pars['a5'].value\n",
    "    \n",
    "    f1 = pars['f1'].value\n",
    "    f2 = pars['f2'].value\n",
    "    f3 = pars['f3'].value\n",
    "    f4 = pars['f4'].value\n",
    "    f5 = pars['f5'].value \n",
    "    \n",
    "    l1 = pars['l1'].value\n",
    "    l2 = pars['l2'].value\n",
    "    l3 = pars['l3'].value\n",
    "    l4 = pars['l4'].value\n",
    "    l5 = pars['l5'].value\n",
    "    \n",
    "    # Using the Gaussian model function from rampy\n",
    "    peak1 = rp.gaussian(x,a1,f1,l1)\n",
    "    peak2 = rp.gaussian(x,a2,f2,l2)\n",
    "    peak3 = rp.gaussian(x,a3,f3,l3)\n",
    "    peak4 = rp.gaussian(x,a4,f4,l4)\n",
    "    peak5 = rp.gaussian(x,a5,f5,l5)\n",
    "    \n",
    "    model = peak1 + peak2 + peak3 + peak4 + peak5 # The global model is the sum of the Gaussian peaks\n",
    "    \n",
    "    if data is None: # if we don't have data, the function only returns the direct calculation\n",
    "        return model, peak1, peak2, peak3, peak4, peak5\n",
    "    if eps is None: # without errors, no ponderation\n",
    "        return (model - data)\n",
    "    return (model - data)/eps # with errors, the difference is ponderated"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that in the above function, I did not applied the square to (model - data). This is implicitely done by lmfit (see http://lmfit.github.io/lmfit-py/fitting.html#fit-func-label for further information on function writting).\n",
    "\n",
    "# Fitting\n",
    "\n",
    "Ok, we have our optimisation function. So we can go forward and fit the spectrum... \n",
    "\n",
    "We need five Guassians at 950, 1050, 1100, 1150 and 1200 cm$^{-1}$. We set their half-width at half-maximum at the same value."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [],
   "source": [
    "params = lmfit.Parameters()\n",
    "#               (Name,  Value,  Vary,   Min,  Max,  Expr)\n",
    "params.add_many(('a1',   2.4,   True,  0,      None,  None),\n",
    "                ('f1',   946,   True, 910,    970,  None),\n",
    "                ('l1',   26,   True,  20,      50,  None),\n",
    "                ('a2',   3.5,   True,  0,      None,  None),\n",
    "                ('f2',   1026,  True, 990,   1070,  None),\n",
    "                ('l2',   39,   True,  20,   55,  None),  \n",
    "                ('a3',   8.5,    True, 0,      None,  None),\n",
    "                ('f3',   1082,  True, 1070,   1110,  None),\n",
    "                ('l3',   31,   True,  25,   35,  None),  \n",
    "                ('a4',   2.2,   True,  0,      None,  None),\n",
    "                ('f4',   1140,  True, 1110,    1160,  None),\n",
    "                ('l4',   35,   True,  20,   50,  None),  \n",
    "                ('a5',   2.,   True,  0,      None,  None),\n",
    "                ('f5',   1211,  True, 1180,   1220,  None),\n",
    "                ('l5',   28,   True,  20,   45,  None))"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For further details on the Parameters() object, I invite you to look at this page: http://lmfit.github.io/lmfit-py/parameters.html . But from the above piece of code, you can already guess that you can make specific parameters that vary or not, you can fixe Min or Max values, and you can even put some contrains between parameters (e.g., \"l1 = l2') using the last \"Expr\" column.\n",
    "\n",
    "You can remark that we applied some boundaries for the peak positions, but also for peak widths. This is based on previous fits made for this kind of compositions. Typically, in such glass, peaks from Si-O stretch vibrations do not present half-width greater than 50 cm$^{-1}$ or smaller than 20 cm$^{-1}$. For instance, the 1080 cm$^{-1}$ peak typically present a half-width of ~ 30 cm$^{-1}$ ± 5 cm$^{-1}$ in silica-rich silicate glasses, such that we can apply a tighter constrain there. Following such ideas, I put bonds for the parameter values for the half-width of the peaks. This avoid fitting divergence. Furthermore, we know approximately the frequencies of the peaks, such that we can also apply bondaries for them. This will help the fitting, since in this problem, we have five peaks in a broad envelop that only present two significant features at ~950, ~1080 cm$^{-1}$ as well as two barely visible shoulders near 1050 and 1200 cm$^{-1}$. But this is a simple case. For some more complex (aluminosilicate) glasses, this 850-1300 cm$^{-1}$ frequency envelop is even less resolved, such that applying reasonable constrains become crucial for any quantitative Raman fitting.\n",
    "\n",
    "For starting the fit, as we suppose we have a not bad knowledge of peak frequencies (see the discussion right above), a good thing to do is to fix for the first fit the frequencies of the peaks:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "# we constrain the positions\n",
    "params['f1'].vary = False\n",
    "params['f2'].vary = False\n",
    "params['f3'].vary = False\n",
    "params['f4'].vary = False\n",
    "params['f5'].vary = False"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This avoids any divergence of the fitting procedure regarding the hald-width, because with free frequencies and badly estimated half-width and intensities, the fitting procedure always tends to extremely broaden the peaks and put them at similar frequencies, with strong overlapping. Starting the fitting procedure by fixing the parameter we know the best, i.e. the frequencies, avoid such complications.\n",
    "\n",
    "Then, we need to use a large-scale algorithm quite robust for fitting. The levenberg-marquart algorithm fails on such fitting problem in my experience. Let's choose the Nelder and Mead algorithm for this example: (http://comjnl.oxfordjournals.org/content/7/4/308.short) :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [],
   "source": [
    "algo = 'nelder'  \n",
    "    \n",
    "result = lmfit.minimize(residual, params, method = algo, args=(x_fit, y_fit)) # fit data with  nelder model from scipy"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And now we release the frequencies:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [],
   "source": [
    "# we release the positions but contrain the FWMH and amplitude of all peaks \n",
    "params['f1'].vary = True\n",
    "params['f2'].vary = True\n",
    "params['f3'].vary = True\n",
    "params['f4'].vary = True\n",
    "params['f5'].vary = True\n",
    "\n",
    "#we fit twice\n",
    "result2 = lmfit.minimize(residual, params,method = algo, args=(x_fit, y_fit)) # fit data with leastsq model from scipy"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now extract the various things generated by lmfit as well as the peaks:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = lmfit.fit_report(result2.params)\n",
    "yout, peak1,peak2,peak3,peak4,peak5 = residual(result2.params,x_fit) # the different peaks\n",
    "rchi2 = (1/(float(len(y_fit))-15-1))*np.sum((y_fit - yout)**2/sigma**2) # calculation of the reduced chi-square    "
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And let's have a look at the fitted spectrum:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rchi-2 = \n",
      "10.350930190695651\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "##### WE DO A NICE FIGURE THAT CAN BE IMPROVED FOR PUBLICATION\n",
    "plt.plot(x_fit,y_fit,'k-')\n",
    "plt.plot(x_fit,yout,'r-')\n",
    "plt.plot(x_fit,peak1,'b-')\n",
    "plt.plot(x_fit,peak2,'b-')\n",
    "plt.plot(x_fit,peak3,'b-')\n",
    "plt.plot(x_fit,peak4,'b-')\n",
    "plt.plot(x_fit,peak5,'b-')\n",
    "    \n",
    "plt.xlim(lb,hb)\n",
    "plt.xlabel(\"Raman shift, cm$^{-1}$\", fontsize = 14)\n",
    "plt.ylabel(\"Normalized intensity, a. u.\", fontsize = 14)\n",
    "plt.title(\"Fig. 3: Fit of the Si-O stretch vibrations\\n in LS4 with \\nthe Nelder Mead algorithm \",fontsize = 14,fontweight = \"bold\")\n",
    "print(\"rchi-2 = \\n\"+str(rchi2))"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Ok, we can test to change the algorithm and use the Levenberg-Marquart one which is well-used for simple problems by a lot of people. We will re-initialize the Params() object and run the entire code written above again."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rchi-2 = \n",
      "3.012734451757241\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "algo = 'leastsq' # We will use the Levenberg-Marquart algorithm  \n",
    "#               (Name,  Value,  Vary,   Min,  Max,  Expr) Here I directly initialize with fixed frequencies\n",
    "params.add_many(('a1',   2.4,   True,  0,      None,  None),\n",
    "                ('f1',   946,   True, 910,    970,  None),\n",
    "                ('l1',   26,   True,  20,      50,  None),\n",
    "                ('a2',   3.5,   True,  0,      None,  None),\n",
    "                ('f2',   1026,  True, 990,   1070,  None),\n",
    "                ('l2',   39,   True,  20,   55,  None),  \n",
    "                ('a3',   8.5,    True,    0.7,      None,  None),\n",
    "                ('f3',   1082,  True, 1070,   1110,  None),\n",
    "                ('l3',   31,   True,  25,   35,  None),  \n",
    "                ('a4',   2.2,   True,  0,      None,  None),\n",
    "                ('f4',   1140,  True, 1110,    1160,  None),\n",
    "                ('l4',   35,   True,  20,   50,  None),  \n",
    "                ('a5',   2.,   True,  0,      None,  None),\n",
    "                ('f5',   1211,  True, 1180,   1220,  None),\n",
    "                ('l5',   28,   True,  20,   45,  None))\n",
    "\n",
    "result = lmfit.minimize(residual, params, method = algo, args=(x_fit, y_fit))\n",
    "# we release the positions but contrain the FWMH and amplitude of all peaks \n",
    "params['f1'].vary = True\n",
    "params['f2'].vary = True\n",
    "params['f3'].vary = True\n",
    "params['f4'].vary = True\n",
    "params['f5'].vary = True\n",
    "\n",
    "result2 = lmfit.minimize(residual, params,method = algo, args=(x_fit, y_fit))\n",
    "model = lmfit.fit_report(result2.params) # the report \n",
    "yout, peak1,peak2,peak3,peak4,peak5 = residual(result2.params,x_fit) # the different peaks\n",
    "rchi2 = (1/(float(len(y_fit))-15-1))*np.sum((y_fit - yout)**2/sigma**2) # calculation of the reduced chi-square \n",
    "\n",
    "##### WE DO A NICE FIGURE THAT CAN BE IMPROVED FOR PUBLICATION\n",
    "plt.plot(x_fit,y_fit,'k-')\n",
    "plt.plot(x_fit,yout,'r-')\n",
    "plt.plot(x_fit,peak1,'b-')\n",
    "plt.plot(x_fit,peak2,'b-')\n",
    "plt.plot(x_fit,peak3,'b-')\n",
    "plt.plot(x_fit,peak4,'b-')\n",
    "plt.plot(x_fit,peak5,'b-')\n",
    "    \n",
    "plt.xlim(lb,hb)\n",
    "plt.xlabel(\"Raman shift, cm$^{-1}$\", fontsize = 14)\n",
    "plt.ylabel(\"Normalized intensity, a. u.\", fontsize = 14)\n",
    "plt.title(\"Fig. 4: Fit of the Si-O stretch vibrations\\n in LS4 with \\nthe Levenberg-Marquardt (LM) algorithm\",fontsize = 14,fontweight = \"bold\")\n",
    "print(\"rchi-2 = \\n\"+str(rchi2))"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The comparison of Fig. 3 and 4 shows small differences. In this case, and because we have a good error model, the LM algorithm converges toward results similar to those of the Nelder-Mead algorithm. You can try to run again the calculation with removing the \"sigma\" input in the \"minimize\" function used above. You will see that the results will diverge much more than in this case. \n",
    "\n",
    "A convenient thing about the LM algorithm is that it allows to estimate the errors on the fitting parameters. This is not possible with gradient-less algorithms such as the Nelder-Mear or the Powell algorithms. For the latters, I will give a piece of code at the end of this notebook that allows to estimate good errors on parameters through bootrapping. \n",
    "\n",
    "The downside of the LM algorithm is that, in my experience, it fails if the envelop of bands to fit is broader than the one used in this example, because it seachs at all costs to fit the spectrum as good as possible... This typically results in extrem broadening and overlapping of the peaks you try to fit.\n",
    "\n",
    "A way to resolve this issue if the use of the LM algorithm is really needed is to put tigther constrains on the peak half-widths.\n",
    "\n",
    "But another way is to use a more global algorithm less prone to diverge from the initial estimations. The Nelder-Mead, Powell (Powell, 1964, Computer Journal 7 (2): 155-62) or the COBYLA (see Powell, 2007 Cambridge University Technical Report DAMTP 2007) algorithms can give good results for complex problems. Also, the Conjugate Gradient algorithm may be suitable (Wright & Nocedal, “Numerical Optimization”, 1999, pp. 120-122). Let's try the latter for now:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rchi-2 = \n",
      "3.096756204520088\n"
     ]
    },
    {
     "data": {
      "image/png": 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UtkndPDw80Gg02kQj7b+2NDExMTo1f1n1rckvtra2Orezei8ynj/dunWjefPm2ZaZvr+SvsqXL0/58uUZMGAAn332GeXLlyc8PByAf/75J9flZeTv70+pUqW0CdGePXt4/PhxpueWmJjIxo0btbcdHByynLoiIzc3N7Zu3cq///7LsWPHuHbtGpcuXWLjxo3Exsayf/9+Zs2axbRp0wx+DlklXBnnqZo+fbrR+gimLzsoKIjk5ORcJU7pzy1DP+NOTk707duXxYsXA7Bq1SqdvjP9+/fHzs7OoLJDQkJ0+iem/5w6ODhkSpgg6/cA4Ndff9UmGBqNhl9++YWuXbvi7OzM1q1b6dy5s0Ex5iTje//gwQOdhC7j90523zP6fAeA+hk6evQo169f5/jx4/zzzz+cP3+ezZs3k5SUxNq1a3nhhRcMrvkriJ6d9PAZU7lyZVxcXLS316xZo/1BVxSF5cuXZ7uvobNML1q0iD/++CNTDUVwcDDr16/X3i5RooTOBz3jDLnmmtU64xdJbGys3vs6OTlRq1Yt7e1ff/1V54s+Y9OWPh0+9ZGXmHPi7OxM7dq1tbfDw8MZO3YsEyZM0LmMGDGCkiVL6jWnzNatW5k1a1aWtR8ODg7Y2Pz3P5w+c3m1bNkSRR0BrHNJP5P7a6+9pr0eGRnJ5MmTM52fn3/+uU5N05AhQ3BwcHjq8S9cuEBiYiIlS5bkxRdfZMqUKfz8888MHz5cu036Jh9jvVcZzx0vL69M78uECRPo2LGjtkNvmvSvcVbHT9/5PSoqKssJFnOqsTOWoUOHaq+vW7eOTZs2ZflYbv3000/a65GRkToDYtI6nOsrLcEHtSN9nz59tAnW2rVrs90vL+dBxvc+/fd4cnIyP//8s/a2p6dnpibS3Pr7779JSUmhfPny9O/fn6lTp7Ju3To6deqk3SanZs3CSGqaCikbGxuGDBnC3LlzATURat26Nc8//zwHDhwwyRIhFy9e5LXXXqNs2bK0b98ef39/7t69y6pVq3SqidO3p1uSYsWKYWtrS2JiIqD2xfr777+xtbWlZcuWT619ePvtt7V9JgIDA2nQoIHO6Lk0FStWNNp/oRlnDB8zZgwdOnTAxsaGbt26UbFiRYPLnjhxIq+88gqg9qOpWbMmXbt2xcPDg/DwcM6cOcOhQ4coUaIE/fr1e2p5ISEhTJo0iffee48mTZpQr149vL29tT9e6f9L1qd/lD7eeust1q1bx5kzZwBYsGABx48fp3PnztjY2LBnzx4OHDig3b506dJMnz5dr7InTJjA8ePHadOmDf7+/hQrVozg4GBtHxnQTf4yvlf9+/enadOmWFlZMXDgwExNK9mpVasW7dq10zYFvv7662zbto169ephZWXF7du3OXLkCJcvX2bq1Kk6iZCfn5826ZkzZw7h4eE4OjpSp04d2rRpw5AhQ5gxY4b2vZg8eTJ79uyhSZMmxMbGcuzYMby8vHSSGFNo0qQJlStX5sqVKzrJSe3atXWS+dxKG1FcqlQp1q1bp9MXacSIEbkqK31C8vjxYzp37kzTpk05dOgQO3fuzHa/vJwHtWrVok2bNuzZsweAWbNmcfPmTapVq8bOnTt1+jyNHTs2z81mffv2JSIiglatWuHn54enpyc3btzQaaYz1WTFFss8/c9FVvJznqaOHTvq3L59+3a2ceg7Wmns2LE5jowClD59+mSaq8kS5mlK07Nnzyzjnj17tl4xPW2eJl9fX+08Tdk9/9xKP8ot/eXXX39VFOXp72f6OYoyTig4efLkp76n+k5kqs+8RmnnZtpIT33if5r79+/rjMjK7lKrVq1cjQbKbk6itIuDg4Ny/Phx7fZPnjxRSpQokeW2aXNW6XsuPHjwIMd5mrJ7P8eNG5fldmPGjNFuc/z4ccXHxyfbMnOapymj3H4+0/v8888zHTv9yC59jpMxvuzOg86dO2c7T1N253d4eLji6+ubZXmDBw/O9pzN63lw7949pWrVqjm+70+bp0nf74BKlSrleBxPT08lMDAwh3ex8JHmuUKsSJEiHDx4kP/97394e3tjb29PrVq1WLFiRab5SIzx38LkyZP54YcftDUc7u7u2NraUqJECbp27cqGDRtYs2aNThOBpVm0aBGDBw/Gx8fHoP/S5syZw65du+jduze+vr7Y2tri4uJC7dq1+eCDDzh37pzRl0fYsGEDPXv2xNPT0+g1eDNnzuTw4cMMGDCAMmXKYG9vj62tLX5+frRv356ZM2dq/+t9mj59+vDHH38wfvx4mjZtSpkyZXB2dsbW1hYfHx/atWvHjz/+yO+//27UZWR8fHz4888/2bx5M3379qV06dI4Ojpib2+Pn58f3bt3Z+XKlZw8eTJX685NnDiRsWPH0rhxY+3iw/b29pQtW5bBgwdz/PhxnXXQ7O3t2bp1K+3bt8/zUije3t789ddfzJ8/n9atW+Pl5YW1tTXOzs5UrlyZAQMGsHLlykwd5WfMmMHYsWMpWbJktq9xgwYNuHjxItOmTaNBgwa4ublhY2ODt7c3rVu31qtW0RgGDhyoE6OdnR39+/fPU5nbtm3jgw8+oEyZMtjZ2VG6dGmmTp3K+vXrc/3Z8fT05NChQ/Tq1Qs3NzccHR1p0KABGzZsyHFASl7Pg+LFi3PixAnmzJlDkyZNcHd3x8bGhmLFivHCCy+wevVq1q1bZ5Tv2U8//ZSRI0dSr149ihcvjq2tLU5OTlSuXJnRo0dz6tQpSpUqlefjFCQaRcnFEBlR4MTFxWXZSfTFF1/U9jOqUKEC165dy+/QhBBCiALFcv/lF0ZRqVIlOnToQMOGDfH19SUkJIR169bptEm/+eabZoxQCCGEKBikpqmQK1KkCBEREdk+PmLECH744QeL7JgthBBCWBJJmgq5zz//nO3bt3PlyhUePnyIlZUVJUqUoHHjxgwbNow2bdqYO0QhhBCiQJCkSQghhBBCDzJ6TgghhBBCD5I0CSGEEELoQZImIZ5RQ4YM0S5d07JlS3OHU+jl9fWW90sI85OkSQhhchnXM1y2bJle+12+fJkRI0ZQoUIFHB0dcXBwwM/Pjzp16jBw4EDmzJmjXfYmOxs2bNA5tjnXN8yOJERCFAwyT5MQz6h+/fpRvXp1AJ2V3y3Ftm3b6NGjBwkJCTr3BwcHExwczNmzZ/n5558ZNmxYtjPah4WFMWrUqHyI9uks/fUWQjydJE1CPKNeeOEFoy2Ma2zJyckMHz5cmzAVLVqUPn364O/vT2xsLFeuXOHAgQOEhITkWM6YMWOeuk1+seTXWwihH2meE+IZlVOTUMamtF27dtGqVStcXFxwdXWlY8eOXLx40WSxXbx4keDgYO3t9evXM2/ePCZPnszHH3/Mr7/+yv3799mzZ0+WywQBrFu3jrVr1wLQo0cPg+L45ptvtK9DxnXpmjZtqn1sy5Yt2vvXrFmjvd/NzY2kpCQg69d72bJlaDQali9frt1///79Oq//vn37sowtLCyM0aNH4+vri729PVWqVGHRokUGPU8hhH4kaRJC5Gjx4sV06NCBffv2ERMTQ3R0NNu3b6dFixaEhoaa5JhpiUaav//+O9M2Go2G1q1bY29vn+mx0NBQRo8eDagLv3bv3t2gOFq1aqW9fuvWLW0iFxcXx6lTp7SPHTx4MMvrzZs3N8kC1ffv36dBgwbMnz+fe/fukZCQwJUrV3jttdf48ccfjX48IYRKkiYhRI4OHz5MpUqVmDJlCp06ddLeHx4ezpIlS0xyzMqVK+vUII0dOxY/Pz9eeuklPv30Uw4cOEBycnK2+48ePZrQ0FB8fX359ttvDY6jRo0aeHl5aW+nJUR//fWXTl+rAwcOZNoGdJOurDRo0IDZs2dTv3597X1ly5Zl9uzZ2ku5cuUy7Xf16lXu37/PqFGjGD9+vM5rNWvWrFw8QyFEbkifJiFEjvz9/Tl+/Diurq4A1K1blzNnzgBw4sQJkxzTycmJTz/9lLfeekt7X3BwMOvWrWPdunUA+Pj48OGHH2prlNKsWbNGu82iRYuy7SSuj7SmtLTyDh48SN++fbWJUdGiRQkPD+f06dPExMSQmJjIhQsXtPu3bt06x/KrVatGtWrVuHDhAidPngTU13vChAlPjW316tXaGrSAgADta3X16lWioqK075cQwnikpkkIkaOBAwfq/ABXrFhRe/3Ro0cmO+7YsWNZv349DRs2zPLxBw8eMGbMGJ3pC0JCQnj99dcBePXVV3VqxgyVvrbo0KFDOn+HDx+Oo6MjSUlJHDt2jEOHDpGSkgKAh4cHtWvXzvPxs+Lr66vT5FipUiWdx035vgjxLJOkSQiRo9KlS+vcTt+HKC1BMJVevXrx119/ERISwubNm3n33XepUqWKzjZffvml9voHH3xAWFgYJUuW5KuvvjJKDOlri86fP094eDhHjx7VPtaoUSNAbaJL3zTXokULrKxM8xWb03sCpn9fhHhWSdIkhMiRra2tzm2NRpPvMRQrVoxu3brx6aefcvHiRdq2bat97J9//tFef/DgAQD//vsvRYoU0Y5Ae/XVV3XKK1OmjN6TXFauXJkSJUoAajIyb948oqKisLa2pkmTJjRv3hxQm+7S9216Wn+mvLCE90SIZ5EkTUIIixMcHMwbb7zBlStXMj2m0WhwcnLS3s5LnyV9pU+A0jqW165dG1dXV23SdOzYMZ0RdU/rz5Re+iQoNjY2r+EKIUxEOoILIfLdtGnTmDt3bqb7fX192bJlCwkJCcydO5e5c+dSvXp1mjZtir+/P8nJyRw+fJhdu3Zp90k/YWTTpk2zHOJ/+/ZtbUdrgI4dO+Lk5ISzs7Ne8bZq1YpffvkFUOdHArTJUpMmTbC2tiYuLk67vbe3N9WqVdOrbAA/Pz/t9VOnTjF27Fj8/f2xs7PjzTff1LscIYRpSdIkhMh3gYGBWTaNpSUk6V24cEFnRFp6pUuXZsaMGdrb77zzTpbbLVu2TKeJbt68eZn6BeUkq1qjtKTJxcWFOnXq6CRlLVu2zFWTWY8ePfj4449JSUkhJSVFW5vl7OwsSZMQFkSa54QQFicgIIDDhw/z8ccf065dOypVqoSHhwfW1tYUKVKERo0aMX36dM6ePYuvr6/J4ylbtiwBAQE69z333HPa62kJVJrc9meqXbs2q1atom7dujg4OBgeqBDCpDSKoijmDkIIIYQQwtJJTZMQQgghhB4kaRJCCCGE0IMkTUIIIYQQepCkSQghhBBCD5I0CSGEEELoQZImIYQQQgg9SNJUwKWtraXRaHRWexeZ7du3T+f10mfdMVEwBQYG6rzX+/bt0z720Ucfae/PzQSXlio+Pp5SpUqh0WgoVqyYzszk5hIXF0exYsW0r3F8fLzJj7ls2TKd99zSpU2AqtFoGDJkSL7vLwwjSZMFK4gJUVJSEqtXr6ZPnz6ULVsWFxcX7OzsKFmyJJ07d2bu3Lk8evTI3GEWSOb+UYiOjmbevHl07doVf39/nJycsLOzw9vbm8aNG/PGG2+wfft2kpOT8z22gshYSfy8efO4c+cOAK+//jqOjo5Zbnfu3DnefPNN6tSpg6enJ7a2tnh4eNCwYUMmTpzIuXPnstzPkPfd0dGRMWPGAOoSNvPnzzfouT2rJCGyXLKMijCaCxcu0LdvXy5dupTpsbt373L37l22bt1KWFgYH330Ub7HV65cOWbPnq297enpme8xFFSbN29m+PDhWS5zEhoaSmhoKH/99Rdz587l6NGjNG7c2AxR6qd9+/a4uLgA4O7ubuZo8iY+Pp5PP/0UABsbG0aPHp1pmydPnjB27FgWLlyY6bHHjx9z4sQJTpw4wa+//popccvL+z5mzBhmzJhBUlISM2fOZNSoUdjb2+fxGRceo0aNokuXLgBUr17dzNEIfUnSJIziypUrtGjRgocPH2rvq169Oi+88AKenp6EhIRw8OBBnVXg85u/vz8TJkww2/ELqrVr19KvXz/SLx7QqFEjWrRogYeHBxEREVy4cIH9+/cTFRWVq7IjIyNxc3Mzdsg5atq0KU2bNs3XY5rK+vXrCQ0NBaBNmzYUK1ZM5/Hk5GT69OnDb7/9pr3P3d2dXr16Ub58eZ48ecK5c+fYuXNnprLz+r4XK1aM1q1bs3PnTkJDQ9mwYQMvv/yysZ56gZV2zvft29fcoQhDKMLitGjRQgGyvZQqVUq7bfr7ly5dquzfv19p3bq14uLiori4uCgvvPCCcuHChSyPc+PGDeWNN95QKleurDg5OSkODg5KlSpVlEmTJimhoaG5irlJkyY6scycOVNJSUnJtN3JkyeVzZs369yXlJSkLFmyRGndurVStGhRxcbGRvH09FRatmypLFy4UElMTNTZ/tatWzrH2rt3r7Jq1SqlYcOGiqOjo1KkSBHlxRdfVO7cuaOz3969e3X2u3XrVpav+eDBg3X2W7p0qc5+GZ07d07p0qWL4urqqri6uiovvPCCcubMGWXq1KlZvmeKoigbNmxQBgwYoNSoUUPx9vZWbG1tFWdnZ6VKlSrKmDFjdGLL+HyzukydOlWn/AMHDih9+/ZV/P39FTs7O8XV1VVp3LixMnfuXCUhISHTc8hOaGio4ubmpj2Og4ODsmnTpiy3ffLkibJy5Url+vXr2ca+d+9eZfHixUqdOnUUBwcHpVatWoqiKMrNmzeVsWPHKs8995xSsmRJxcnJSbGzs1N8fX2VLl26KFu2bMnymDExMcqkSZOUkiVLKvb29krVqlWVuXPnKjdv3sx03DQ5vS+KoigRERHKzJkzlYYNGypubm6Kra2t4u/vrwwePDjLz1LG8h4/fqxMmDBBCQgIUGxtbZUyZcooM2bM0Pk8PO39zHgOZqdt27bafRYuXJjp8QULFuiU26RJkyw/2w8fPlS++uor7e28vu9pFi5cqC2jbdu2ej0nRTHsfDDF5zTttZk2bZpSr1497fng6+ur9OzZU9m5c+dT44iJiVGmTJmilClTRrGxsVHGjh2rKErW3znpY8nukvbdkHH/W7duKa+88ori5eWl2NvbK3Xq1MnyPStVqpTO98bWrVuVxo0bK46Ojoqfn5/y3nvvab8jvv/+e6Vy5cqKvb19lufxs0iSJgtkaNLUrl07xcrKKtP2RYsWVUJCQnSOsWnTJsXJySnbY/j5+SmXLl3SK95jx47p7Nu1a1e9n2t0dLTy/PPP5/h8n3vuOSUqKkq7T8Yf4ueeey7L/SpUqKDExcVp9zNF0nTixAnFxcUl07EdHByUdu3aZftl3Lt37xyfs5ubm3Lu3Lksn+/TkqYpU6bkuG3z5s2V6Ohovd6fzz77TGff2bNn67VfmoyxN2/eXOd2WtL022+/PfU5Tps2TafshISETOWlXTp37qxzW9+k6dq1a0rp0qWzjcHe3l5Zu3atzj7pyytatKhSpUqVLPf94IMPtPs87bnqkzTFxcUpdnZ22n2ySugqV66sc07evXv3qeUqSt7f9zTnz5/Xee2ePHmi136GnA+m+JxeunRJKVmyZI5xpCVB2cWR8Rw1RdLUoEEDxdPTM9O2Go1G2b17t0586ZOmOnXqKBqNJsvz74033njqefwskuY5C5TW1j1x4kTtfX379qV+/fpA9v0wdu3aReXKlenVqxdnz55l69atAISHh7NkyRLeffddAG7dusXLL7+sHWVTrVo1evbsSUpKCitXruT27dvcvXuX3r17c/78eaytrXOMd8+ePTq3hw4dqvdzffPNNzlw4ID2dvv27WnSpAnHjh1jx44dABw6dIg333yTH3/8McsyDh06RIMGDejQoQN79+7l8OHDAPzzzz9s2rSJfv366R1PbiiKwtChQ4mOjtbe9/LLL1O2bFnWrl3Lrl27st23SJEitG/fnipVquDh4YGdnR0PHjxg48aN3Llzh8jISCZNmsTWrVvx9PRk9uzZnDx5kjVr1mjLSN8/K625afXq1cycOVN7f4cOHWjWrBkPHjxg+fLlREdHc/DgQcaNG5dlH5eM0r+3Go0mV+9tVg4ePEipUqXo3bs3Tk5OhISEAGp/nNq1a1O/fn2KFSuGm5sbMTExHD58mL179wLw8ccfM2zYMPz8/AD45ptvOHjwoLbsOnXq0KVLFy5cuMDGjRtzHVtycjI9e/bU9uspVqwY/fv3x9PTkx07dnDkyBHi4+MZNGgQ9erVo2zZspnKCA8P59GjRwwaNAhfX18WL16s7Q/0zTff8P7772NnZ8fs2bO5ceMGCxYs0O47ZcoUPDw8AP36uBw/fpyEhAQAnJ2dqVKlis7jwcHBXLlyRXu7Q4cO+Pr66vVaGOt9r1KlCs7OzsTExBAfH8/x48dp3rz5U/cz5HzIjqGf06SkJHr27Mm///4LgLW1NQMHDqRkyZJs2rSJCxcuAOr7WrduXQYNGpRlOQcPHqRRo0a0a9eOmJgYAgICso01rb/d/PnzuXnzJgD169fXacrLqi/miRMn8PDwYNy4ccTFxbFo0SKSk5NRFIXZs2fTpk2bLI935swZqlWrRq9evdi+fTsnTpwAYPny5cB/n6nVq1fzzz//aJ9v2nn8TDJz0iZyQLrsfunSpU/dxt/fX4mMjNQ+VqdOHe1jvXr10t4/btw47f0VK1bUqY0JDg5WrK2ttY9nbErLyujRo3XiuHz5sl7PLywsTOdYffr00Xm8T58+2sesra2VsLAwRVEy1140bNhQW52ckJCgeHt7ax8bP368tjxj1zQdPXpU5/5JkyZpH3v48KHi4eGR7X+wabEeOHBAWbJkifLVV18ps2fPVl599VWd/8zTN6U9rflBUXTf80GDBuk8tnbtWu1jNjY2Snh4eJZlpFe1alXtPt7e3jqPxcXFZfmfaIsWLbTbZHyvypQpozx69Cjb4129elVZvXq18t133ylffPGFMnv2bJ0a0RUrVmi3rVSpkvb+8uXL69RijBgxQue4+tQ0bd68Wed8u3btmvaxpKQkpUaNGtrHx40bl2V5gPL1119rH9u0aZPOY2m1h4qS8/mojx9//FG7b4UKFTI9fvz48WzPz6fJ6/ueXvny5Z/6PZad3JwPxv6cbty4UWe/efPmaR+LjY3VqbFJqzHNKo5evXopycnJmZ5bTt85OT2W1TYajUY5ffq09rG33npL+5inp6fOfunjLlq0qBIREaF9rdPH7e3tra2R3r59e7bn8bNGapoKkYEDB+Lq6qq9XbFiRc6cOQOgM8w/rSYG4Nq1a9kOUQY4cuQI3bp1M0G06n/K6YcpDx48WOfxwYMHs3btWkCtBTh+/DgdO3bMVM7w4cOxtbUFwNbWljJlymhrMEw5vcHJkyd1bqf/T9PDw4Pu3btnO1XEypUreeutt7IclZQmPj6esLAwSpQooVc8sbGxnD17Vnt7xYoVrFixIsttk5KSOH78OC+88IJeZQNGmeZgzJgxFClSJNP9gYGBvPLKKxw5ciTH/dP+64+Ojubq1ava+3v37q0zMmvAgAEsWrQoV7Gl/1wkJydTsWLFbLfNLk5ra2v+97//aW9XqlRJ53Fjno9pHcDBtCNB8/q+Fy1alOvXrwO6Meckt+dDTgz9nB49ejTb/RwdHenTp4+2tvfcuXPExsbi5OSUqZwpU6ZgZWXa2X2aNGlCnTp1tLfTn3c5nXNdu3bVDsTIOGdZ586dcXZ2BtSRx+k9y9PGyDxNhUjGkz79j0hKSor2evoRbk+jz5dcxurx9E0COckYh4+PT463s/ug6vu89aWkGy0EZDsx3+PHj3VuFy9ePMfbaU6fPs2gQYNyTJieduysPHr0KFPsOcntexsaGqrzHtja2jJ79mxmz55NyZIl9Tpm5cqVs7y/R48eT/2BhP9ej4yvvbe3t87tjOeOPozxufDx8cHBwUF7O+MQe0POR0MZ+rnMuG9e3/fcnJNpcns+5MTQz2n688HFxUWbQKRJf44pipLpOGmyO+eNKafvwJxe//TNtRmb29I/ZmOjW7+Sn+expZGapkIkrbYlTXb/Iab/r7RatWo5Tp6mT9+KNm3a8N5772lvL1u2jB49ejx1v4z/HT948CDH22n9PTLS93nnJP1/ghlnVE5ry88oY41JSEiIznO6f/9+lvv9+uuv2i8djUbDL7/8QteuXXF2dmbr1q107tw51/FnFU+3bt1y7D9St27dp5bZpk0bbZ+PlJQUVqxYwdixYwG1ViVtCofVq1fr9V9/xh8egKtXr/L3339rb/fv359Zs2bh6+uLRqPB29s7U5KSsV9fWs1imoznjj7Sv3cODg58/PHH2W6bXb9CY5yL+vLy8tJez+ofCl9fXypXrqxNlnbs2MG9e/f0qrk05vuePvnIOCVCVgw5H3Ji6Oc0/TbR0dHExMTonL/pzzGNRpNlDSpkfc4bm6HnXcb90suYKAmVvCoWzMbGhqSkJEBtejGWpk2bcvz4cQDu3bvHyy+/nOm/0qSkJH777TcaNWr01PIaNWpE48aNOXbsGKBOiDdr1izeeeedTNueOnWK4OBgunbtSsOGDbG2ttY20S1fvpxOnTppt03rjAjqF3XDhg1z/2T1lP4L78yZMyQkJGBnZ8fdu3d14kgvrWN+mlWrVjFt2jRA/RHbvHlzlvuFh4drr7u7u9OnTx9t0pbWHJmVjF9wGZsDnJ2dqV27traJLjw8nLFjx2baLyIigm3btlGtWrVsj5Vm6NChzJgxQzsPz3vvvUf16tWz7VhqiPSvB8CLL76oPR/37duX5Q+kq6srlSpV0jbRrV+/nmnTpmn/w/75559zHUf6uZuePHlCtWrVsmwO/uuvv4wySWNW72dupO+IfvfuXVJSUjI1A40dO5ZRo0YB6nN66aWX2LJlS6Z/WB49esTy5ct56623AOO978nJyQQHB2cZc3YMOR9yYujnNONcXitWrNC+lnFxcTqf1Vq1amXZNGeo9OeGMb/7Rd5J0mTB/Pz8uH37NgBz5swhPDwcR0dH6tSpk6cfrTfeeIMFCxbw5MkTHj58SO3atXnppZfw9/cnOjqaS5cusW/fPh4/fsytW7eyreFJb8mSJTRr1kxbRT1p0iR+/vnnTJNbnjx5kqlTp9K1a1eKFi3KkCFDWLJkCaAmDI8fP840eg7U/gRFixY1+Dk/TYMGDbQjrq5fv07dunWpUqUKe/fuzfQlnqZx48bUqFGD8+fPA+ponlu3bhEQEMDatWuzbU5M39/g8ePHdO7cmaZNm3Lo0KEsJxlMkzGx7d+/P02bNsXKyoqBAwfi4+PDxIkTeeWVVwC1j07NmjXp2rUrHh4ehIeHc+bMGQ4dOkSJEiX0GlVYrFgxFixYwIABA1AUhZiYGNq2bUvr1q1p0qQJzs7O/Pvvv9nWxumjfPnyWFlZaWvfxo4dy9mzZwkPD2fp0qXZ7jds2DBtYn79+nWaNGlC165duXDhAhs2bMh1HJ07d6ZKlSpcvnwZUJuIevXqRdWqVUlJSeHGjRscOHCA27dvs3TpUmrXrp37J5tOxvdzzJgxdOjQARsbG7p165ZjnyqAhg0bYmtrS2JiIjExMVy7di1TU9CIESPYsmUL27ZtA9Rzoly5cvTq1Yty5crpTG7p7e2tTZqM9b5fvnxZ+6NvZ2en1z8+hp4P2TH0c9q5c2edxPyNN97gxIkT+Pn5sWnTJu13M8C4ceNyHVdO0p8bf/zxB++++y5eXl54eXnJsirmZsZO6OIp0o9yS38ZM2aMdpv092ccmTJ48OBsR7Zs3LhRcXZ2zrL89JfcjOg5e/aszrww2V3SzymkzzxNzZo1y3GepvQjoxQl+5EnOY1WevDggVK0aNFMx7ayslI6dOiQ5agcRcl+/hd7e3uldevW2ttlypTR7hMeHq74+vpm+VzTv2cZY3zy5IlSokSJLPc7ceKEdrvJkyc/9T3IajRfTtasWaO4u7s/tVzQHan5tPcqzciRI7Msq02bNoqfn1+W505CQoLStGnTLPdr2bJltsfNaZ6mq1ev5jhPU1aftZzKe9rzTz/aMf3l119/1et9SX+u//jjj1luExMTowwbNsygc8LQ9z1N+skt27Rpo9dzUhTDzgdD5mnK6XOqKPrN0/Tmm2/q7KPPKFdFyXmEXPqRnOkv1apV02v/nGLIOLlleun3Sf+Yvp/jZ4F0BLdgM2bMYOzYsZQsWfKpcyXlVo8ePbhw4QLjx4+nRo0auLi4YG1tTdGiRWnSpAkTJ07k8OHDuVoFvlatWpw7d46VK1fSu3dvSpUqhaOjI7a2tvj6+tKlSxeWLVum81+Zs7Mze/bsYfHixbRq1QpPT09sbGzw8PCgRYsW/PDDD+zbt0+7VlheZOy8mL4pw9vbm/3799OxY0dtp8/WrVuzb9++HGtk6tevz5EjR+jcuTMuLi64uLjQpk0bDhw4QIUKFbTbpW/+8/T05NChQ/Tq1Qs3NzccHR1p0KABGzZsyPG/SHt7e7Zu3Ur79u1zXHpk5syZHD58mAEDBlCmTBns7e2xtbXFz8+P9u3bM3PmzExzaz1Nnz59uHXrFl988QVt27bFx8cHOzs77O3t8fX1pWXLlrz77rscPHiQ9evX56psgO+++47p06dTqlQpbG1tCQgIYOLEifz222/Z9q2wtbVl586dTJw4ET8/P+zs7KhUqRJz5sxh8eLFuY4B1BGn586dY9asWTRt2hQPDw+sra1xdXWlZs2aDB8+nI0bN9K/f3+Dys9ow4YN9OzZE09PT4P6P6WfP2ndunVZbuPk5MTixYs5c+YMr7/+OrVq1aJIkSJYW1vj7u5OgwYNmDp1Ktu3b8+0b17f9/Qx5WauJ0POh5wY8jkFdZ6pv//+m48++oi6devi4uKCjY0NJUqUoGfPnuzYsYNvvvkm1/E8Tbdu3Zg7dy5VqlR5dudDslAaRTFgaIMQBdCqVat0fuwiIyN1pmgwREJCAjY2Npn6kkRHR1O9enVtFf6IESP0mkxSiNyIi4vD39+f8PBwbG1tuXfvnkmbsXMjNDQUX19fkpKS8PLyIigoSGdkYX6Sz6kwFunTJAq969evc/78eT777DPtfVWrVs1zwgRw6dIlunXrxiuvvELVqlXx8PAgMDCQBQsWaL+IraysGDNmTJ6PJURGjo6OTJ48mQkTJpCYmMj8+fN5//33zR0WAN9//712IMuUKVPMljCBfE6F8UhNkyj03nrrrUxV6L/88otRVlw/e/aszqRyGdnZ2TF//vw8Lz8iRHbi4+OpWLEid+7coVixYty+fTvHCWvzQ1xcHAEBAYSFhREQEMC1a9eMMuLQUPI5FcYiNU3imWFvb0/VqlWZNGmSzlpOeeHv78+4cePYt28fd+7cISIiAgcHB8qUKUPLli0ZPXp0vkxuJ55d9vb2OiO5LIGjo2OupwYwJfmcCmORmiYhhBBCCD3I6DkhhBBCCD1I0iSEEEIIoQfp04Q6f09wcDCurq4mXStKCCGEEMajKApRUVH4+vpmmlLCFCRpAoKDg/H39zd3GEIIIYQwQFBQECVLljT5cSRpAu18PUFBQTnOtCyEEEIIyxEZGYm/v79R5t3ThyRNoG2Sc3Nzk6RJCCGEKGDyq2uNdAQXQgghhNCDJE1CCCGEEHqQpEkIIYQQQg+SNAkhhBBC6EGSJiGEEEIIPUjSJIQQQgihB0mahBBCCCH0IEmTEEIIIYQeJGkSQgghhNCDJE1CCCGEEHqwuKTpwIEDdO3aFV9fXzQaDZs2bXrqPvv27aNu3brY29tTvnx5li1bZvI4hRBCCPFssbikKSYmhlq1avH999/rtf2tW7fo3LkzrVq14uzZs7z11lsMHz6cHTt2mDhSIYQQQjxLLG7B3o4dO9KxY0e9t1+wYAFlypRhzpw5AFSpUoVDhw7x1Vdf0aFDB1OFKYSwcIqi5NsinkKIZ4PF1TTl1tGjR2nbtq3OfR06dODo0aPZ7hMfH09kZKTORQhRePz555+UK1eO6tWrs2LFCnr06MGWLVvMHZYQooCzuJqm3Lp//z4+Pj469/n4+BAZGUlcXByOjo6Z9vn000+ZNm1afoUohMhHR48epWvbtlRQFABGDB5MArBjxw6uXbuGv7+/eQMUQhRYBb6myRCTJ08mIiJCewkKCjJ3SEKIPDpw4AAThw7lXLNmhCgKZ4GzwENgLuD05AlTpkwxZ4hCiAKuwNc0FS9enAcPHujc9+DBA9zc3LKsZQKwt7fH3t4+P8ITQuSDqKgopnXqxMqYGIqn3pfs4YEV4PzoEWOA7kCXn3/myzp1GDdunPR3EkLkWoGvaWrSpAl79uzRuW/Xrl00adLETBEJIfLb7unT2ZyaMF0CVv/vf1iHh6MJD4c9e6BiRUoCe4Blb79N3bp1iYqKMm/QQogCx+KSpujoaM6ePcvZs2cBdUqBs2fPcufOHUBtWhs0aJB2+5EjR3Lz5k3eeecdrly5wrx581i7di3jxo0zR/hCiHyWfPMmz3/1FS7A7QoVKHL1Kv0WLACNRr20bg3Hj6M0akRRYBNw++xZvv32W/MGLoQocCwuaTp58iR16tShTp06AIwfP546derw4YcfAnDv3j1tAgVQpkwZ/vjjD3bt2kWtWrWYM2cOixcvlukGhHgGhN67x9WaNSmanMw5Kyvc/vwT34oVM2/o7o5m2zYoW5aywEJg/vz5JCUl5XfIQogCTKMoqUNMnmGRkZG4u7sTERGBm5ubucMRQujp5xo1GHDhAo+A/d98Q48338x5hzNnUBo2RJOURDdg2KZNdO/ePT9CFUKYQH7/fltcTZMQQujj8u+/8+KFCwBEfPTR0xMmgDp10Lz9NgDfA4u++caEEQohChtJmoQQBVLSxIk4AGe9vSmd2nyvlw8/JNHPD3+g8t69nD592lQhCiEKGUmahBAFjnLsGDWuXCEFuPf222qHb305OWH78ccAvAtMHDmSmJgYk8QphChcJGkSQhQ4MalNcT9ZWfHcqFG5L2DgQBLKlMELqH/ihEx6KYTQiyRNQoiC5dgxXE6cIAE40KYNrq6uuS/Dxga7qVMBeAP4eelSnjx5YtQwhRCFjyRNQogCJfnTTwFYCbR99VXDC+rXD8XHh5JAu6go9u7da5T4hBCFlyRNQoiC4+pVNFu2ALDUy4tevXoZXpa9PZrRowEYB2xJLVcIIbIjSZMQosCInDYNK2Az8Ma8eXlfQ3LkSJJtbGgE3NywAZm2TgiRE0mahBAFQ1QU9uvXA7CvTh1eeumlvJfp7Q3dugHQKSREu3yTEEJkRZImIUTBsGoV9gkJXAFq6zORpZ6shw0D4BXg9w0bjFauEKLwkaRJCFEgxH/3HQCLNBq6dO1qvILbtyfW3R0vIOqXX4xXrhCi0JGkSQhh+U6dwv7CBeKBa40bU7RoUeOVbWODMnAgAE1v3uTff/81XtlCiEJFkiYhhMVLq2VaB7zx0UdGL995xAgAXgB+l9omIUQ2JGkSQli2+Hg069YBsDsggHbt2hn/GDVq8LBYMRyA0KVLjV++EKJQkKRJCGHZtm3DLiaGfwHnTp3Q5GadOX1pNFj37QtA9StXuH//vvGPIYQo8CRpEkJYttTmstVAo6ZNTXYY9+HDAegI/LF6tcmOI4QouCRpEkJYrshIUlJn6l4JtG7d2nTHqlmTh15eOAD3Fy823XGEEAWWJE1CCIuV9OuvWMXHcxmwa9AAPz8/0x1Mo0HTuzcAZS9dIjY21nTHEkIUSJI0CSEsVsT8+QBsdHBg7a+/mvx4RQYMAOAFReHE0aMmP54QomCRpEkIYZnCwvA4fRqAyM6dKVWqlMkPqWnShCg7OzyAwFWrTH48IUTBIkmTEMIybdmClaJwBmjYv3/+HNPamrs1awLg+Oef+XNMIUSBIUmTEMIixaxcCcAmKyvatGmTb8e179kTgOq3b5OUlJRvxxVCWD5JmoQQlicqCocDBwC4XacO7u7u+XZo/+HDSQKqpqSw1ASzjwshCi5JmoQQlmfbNqyTkrgGVEyt+ckvNt7ehJYvD0DwokX5emwhhGWTpEkIYXFifv4ZgI1An9SZuvOT+8svA1ArJITQ0NB8P74QwjJJ0iSEsCzx8Vjv2AHAnXr1KJ9a65OfnLp1A6AVcPzIkXw/vhDCMknSJISwKCm7duGQkMBdoNlbb5kniDp1iLazwx2499tv5olBCGFxJGkSQliUkNQlTLba2tKjVy/zBGFtzf3KlQGwP3TIPDEIISyOJE1CCMuhKDjt2wdASMOGODk5mS+Wtm0BKHfrlvliEEJYFEmahBCW4/x53CIiiAXcUvsVmUuJ1CVV6iUkcP/GDbPGIoSwDJI0CSEsRsrvvwOwB2jcqpVZY3GuXZt7NjbYA4Gpo/mEEM82SZqEEBbjyfr1AOyysaFWrVrmDUaj4XqZMgDEb91q3liEEBZBkiYhhGV4+BCHM2cACK5TBzs7OzMHBLRuDYDPhQtmDkQIYQkkaRJCWIYdO7BSFM4D5czcNJem7LBhAFSMjSUyKMjM0QghzE2SJiGERUjrz7QVaGUhSZNfgwbctrHBCrj644/mDkcIYWYmSZrCw8OZPn06H3/8sSmKF0IUNsnJJKZOInnAxYXWqc1iliAotV9TpPRrEuKZZ5KkKSwsjI8++oiPZIVwIYQ+jh/HPiqKx0Dd11+3jP5MqWxSa72KSr8mIZ55NqYo1MvLiw8//BCNRmOK4oUQhUzcunU4AjuA4SNHmjscHRWGDYOFC6kaG0vI7dt4lypl7pCEEGaiURRFMXcQ5hYZGYm7uzsRERG4ubmZOxwhnjmRFSrgdv0673h7M+vBA3OHo0tRCLGzwzspiT3vv08b6XYghMXI799v6QguhDCvsDBcU2fcjmrSxMzBZEGj4W758gBE/fGHmYMRQpiTJE1CCPP68080qVMNVHj+eXNHkyWr1LiK//OPmSMRQpiTQX2ahg4dqtd2Go2GJUuWGHIIIcQzImXnTqyAXUDTpk3NHU6WivbsCQsXUiM6moSYGOycnc0dkhDCDAzq02RllXMFlUajQVEUNBoNycnJBgeXX6RPkxBmoijElSiB44MHvOjkxOqICGxsTDI+JU+U5GQe2driqShc/+knyqcu5iuEMK/8/v026Nvp1q1bWd4fERHB6dOnmTFjBnXq1GHWrFl5Ck4IUchdv47jgwckAAEDBlhkwgSgsbbmoocHzR8+JGLrVpCkSYhnkkHfUKVyGHJbs2ZNOnbsSI0aNfjjjz8YM2aMwcEJIQq3xK1bsQWOAAP+9z9zh5Oj8IoV4dgx7E6dMncoQggzMUlHcB8fH7p27crcuXNNUbwQopAIX70agONubtSpU8fM0TxF6si+Erdvg8zUIsQzyWSj51xdXQkMDDRV8UKIgi4pCbfUWhtN+/YWPxmud6dOJAJe8fFw5465wxFCmIFJkqbHjx+zefNmfHx8TFG8EKIQOLNwIU6JiTwEnhs71tzhPFWVevX4O/V6zO7dZo1FCGEeBvVpmj59epb3JyUlcffuXbZs2cLDhw9l7TkhRLb+mTePOsDN0qVp8txz5g7nqTw8PDjn4kL96Ggeb9uG87Bh5g5JCJHPDEqanpYMubq6MnnyZD744ANDihdCPANKX78OgFuvXmaORH+PK1eGkyfRHDtm7lCEEGZgUNK0d+/eLO+3srLCw8ODSpUqYWtrm6fAhBCFV3hgIHXi4wEoMWiQmaPRX7Fu3eDkSbyDgyEuDhwdzR2SECIfGZQ0tWjRwthxCCGeIbdXrKAucMfWloBatcwdjt7aDB3KvQ8/pISicHfzZvz69TN3SEKIfCRrzwkh8l3itm0AXAsIMHMkuePr58cNb28ALskSUUI8cyRpEkLku+LnzwOQ2LKleQMxgG1qTbvDmTNmjkQIkd8kaRJC5KukwEBKxcSQDAQMGWLucHKtaOfOAFR6+JCUArC2phDCeCRpEkLkq3+XLQPgjLU1lVNn2S5ISvfuTQLgrSgEHThg7nCEEPnIIpOm77//ntKlS+Pg4ECjRo04fvx4jtt//fXXVKpUCUdHR/z9/Rk3bhxPnjzJp2iFELnx5LffALhRujTW1tZmjib3bFxcuOLkBED477+bORohRH6yuKRpzZo1jB8/nqlTp3L69Glq1apFhw4dCAkJyXL7X375hXfffZepU6dy+fJllixZwpo1a5gyZUo+Ry6EeKqUFIpfvKhebdPGzMEYLrhkSQBS/vrLzJEIIfKTxSVNX375JSNGjODVV1+latWqLFiwACcnJ3788ccstz9y5AjNmjWjf//+lC5dmvbt2/Pyyy8/tXZKCJH/Uv7+myLx8cQAZV95xdzhGOxJzZoAuF+7ZuZIhBD5yaKSpoSEBE6dOkXbtm2191lZWdG2bVuOHj2a5T5Nmzbl1KlT2iTp5s2bbN26lU6dOmV7nPj4eCIjI3UuQgjTu7diBQCHrK2pWwD7M6VxTB1BFxAWBomJZo5GCJFfTJI0BQUF0bp1a9rksvo9LCyM5OTkTAv9+vj4cP/+/Sz36d+/P9OnT+e5557D1taWcuXK0bJlyxyb5z799FPc3d21F39//1zFKYQwTOSGDQAEV61aoFcNKN22LY8Ae0Uh5e+/n7q9EKJwMEnSFBsby759+9i3b58pitexb98+Zs6cybx58zh9+jQbNmzgjz/+4OOPP852n8mTJxMREaG9BAUFmTxOIZ51KbGxlL5zB4Dyo0aZOZq8KVe+PCc0GgAe7dhh5miEEPnFoGVUniYgICDb9ely4uXlhbW1NQ8ePNC5/8GDBxQvXjzLfT744AMGDhzI8OHDAahRowYxMTG89tprvPfee1hZZc4L7e3tsbe3z3V8QgjDBf7yC2WBexoNjYcNM3c4eWJjY8MtLy8IDSV2/36KvveeuUMSQuQDk9Q0OTo60qJFi1yvUWdnZ0e9evXYs2eP9r6UlBT27NlDk2z6P8TGxmZKjNKGMSuKksvIhRCm8mjtWgAuFC+OrZ2dmaPJu8eVKgHgeO6cmSMRQuQXi+oIDjB+/HgWLVrE8uXLuXz5MqNGjSImJoZXX30VgEGDBjF58mTt9l27dmX+/PmsXr2aW7dusWvXLj744AO6du1aIOeAEaKwKnLiBACxTZuaORLjsG7UCADPBw8gKsrM0Qgh8oNJmufyom/fvoSGhvLhhx9y//59ateuzfbt27Wdw+/cuaNTs/T++++j0Wh4//33uXv3LsWKFaNr167MmDHDXE9BCJGBEhZGmcePASg+YIB5gzGSis8/z+05cygFKCdPomnVytwhCSFMTKMY2IYVFRXF3Llz2b17N8HBwcTHx2cuXKPhxo0beQ7S1CIjI3F3dyciIgI3NzdzhyNEofPvl19S8u23uaDRUCEurlD0KYyKimKnuzu9FYXQCRMoNnu2uUMS4pmT37/fBtU0hYaG0rRpU27cuIGbm5s26ISEBOLi4gDw9fUt0EOKhRDGkzbVwJWSJaleCBImAFdXV8LLlYPr13m8c6ckTUI8Awzq0/TRRx9x48YNVqxYwaNHjwAYN24cMTEx/PXXXzRs2JDSpUtzMXW5BCHEM0xR8DpzBoCEXA4OsXRF2rcHwP3qVTNHIoTIDwYlTVu3bqVNmzYMGDAATepcJWkaNGjAtm3bCAwMZNq0aUYJUghRcMWdP493bCwJQLnUAR2FRZ3hw0kGvOPjiS0AXRGEEHljUNJ079496tSpo71tbW2tbZYD8PDwoGPHjqxNHWIshHh2/TN/PgCn7O1pWMg6S1eoU4drNmovh383bjRzNEIIUzMoaXJ3dycx3XpLHh4e/PvvvzrbuLm5ZZqkUgjx7ElJnTE7tFatTDXThUFgsWIAxObDCghCCPMyKGkqW7YsgYGB2tt16tRh165dhIeHAxAXF8dvv/1GQECAUYIUQhRMSmIiZVO/Kzz69jVvMCYSVaUKAI4XLpg5EiGEqRmUNLVv3549e/YQGxsLwP/+9z9CQkKoVasWL730EtWrV+fGjRsMGTLEmLEKIQqY2+vW4aYoPATqpi51VNjYNmsGgO/du5CSYuZohBCmZFDSNHLkSBYtWqRNmnr16sXs2bOJiYlh/fr13L9/n/HjxzNx4kSjBiuEKFiCly8H4IK3N86FdA60Eu3aEQe4JiXB9evmDkcIYUIGT26ZleTkZMLCwvD29i5QfRdkckshTONCkSJUj4hg90sv0baQDgx5/PgxFz08aAbEzJ+P88iR5g5JiGdGfv9+G3XtOWtra3x8fApUwiSEMI3o4GAqR0QAUOa118wcjekUKVKEy87OAESmW2xcCFH4WNyCvUKIwuHi999jA9yysaFsmzbmDsekwsqWBcDq9GkzRyKEMCVJmoQQJhGdunTKv1WqFPra55R69QDwvH0bEhLMHI0QwlQkaRJCGF1ycjKl/vkHALcXXzRzNKZX/LnneATYJieDTD0gRKElSZMQwuhOb9pE+eRkkoCqo0ebOxyTa9ykCSdSrycfPWrWWIQQpiNJkxDC6G4tWgTATS8vbL28zByN6VWuXJlzDg4APEydAV0IUfhI0iSEMCpFUXA5fBiAxBYtzBxN/rCysiKuWjUANCdOPGVrIURBJUmTEMKorly6RMPoaABKF+KpBjJyb9cOAI/79yH1+QshCheTJE1Dhw7ltddeY+/evaYoXghhwc4uW4YXEGNtjXOrVuYOJ9/U7tiRfwFrQDl1ytzhCCFMwCRJ07Jly1i8eDFt27alSZMm/Pbbb6Y4jBDCAqVs3w7A3QoVwNbWzNHkn/r163MidWqFx7t2mTkaIYQpmCRpWrp0KUuWLOGtt94iMTGR3r17m+IwQggLoygKpa5eBUDzwgtmjiZ/OTk5EezrC0CUzAwuRKFkY4pCBw8erHM7Wtr3hXgm3Dh3jgaJiQAEDB1q5mjyn9KgAdy9i/OlS+YORQhhAvnSEdzFxSU/DiOEMLMbS5diD9y3t8e+enVzh5PvPFM7gxeNjITQUDNHI4QwNoOSplGjRnHmzBljxyKEKOCUnTsB+LdyZSjkS6dkpVqzZlxJva7I1ANCFDoGJU0//PAD9evXp379+vzwww9ERUUZOy4hRAGTkpJC2dSlU2w7dzZzNOZRtWpVTlmpX6uPUhNIIUThYVDStHv3bvr06cPFixcZPXo0vr6+DBs2jGPHjhk7PiFEAXF0zRoqJiWRDFQYNcrc4ZiFra0td1M7g8cfOmTmaIQQxmZQ0tS6dWtWrVpFcHAwX375JWXKlGHp0qU0a9aM6tWr8+233/Lo0SNjxyqEsGBXv/4agEAfH5xKljRvMFmIi4OtW+HHH2HfPkhONs1xEmvXBsD18mVQFNMcRAhhFnnqCO7h4cHYsWM5d+4cR48eZejQoQQFBTFu3Dj8/PwYMGAA+/fvN1asQggLFRUVhdfJkwDYde9u5mh0KQrMnw++vtC5MwwbBq1aQblyahJlbJ6tW5MIuMTGwp07xj+AEMJsjDZ6rlGjRixatIjNmzdTokQJnjx5wi+//ELr1q2pVq0av/76q7EOJYSwMNs2b6ZVSgoAJUeMMHM0/0lJgVGjYPRoePwYAgKgfXvw9ITbt9UkKrWCzGhqNmzIubQbx48bt3AhhFkZJWmKjIxk3rx51K1blzZt2hAcHEzz5s1ZvHgxo0aNIigoiH79+jFr1ixjHE4IYWFu//ILrkCUkxOaunXNHY7Wu+/CDz+oA/nmzIGbN2HHDggKUhMpgHHj4JdfjHfMWrVqkTZuLnrfPuMVLIQwO42iGN7ofvDgQRYvXsy6deuIi4ujSJEiDBo0iP/9739UqVJFu11oaCht27bl4cOHBAUFGSVwY4qMjMTd3Z2IiAjc3NzMHY4QBYqiKCxwd2dUVBR327TBb/duc4cEwMaN0KuXev2nn2DAAN3HFQUmTYLZs8HBAU6cAGNNLfVeiRLMuH+f8Bo1KHru3NN3EEIYJL9/vw2qafriiy+oUqUKLVu25KeffqJWrVosXbqU4OBgvv76a52ECaBYsWK8+OKLBAcHGyVoIYTluHHjBs1Spx0p+sorZo5G9fgxjBypXp8wIXPCBGrt06efQseO8OQJDB9uvM7hSam1bS5Xr5qux7kQIt8ZlDS988473Lt3j5EjR/L3339z5MgRBg8ejIODQ7b71KtXj0GDBhkcqBDCMh399VdqAimAQ7du5g4HgPfeg5AQqFQJPvkk++2srWHRInBzg7/+goULjXN83zZtiAbsExLgypWnbi+EKBgMSpoWLVpEcHAw33//PTVq1NBrn06dOrF06VJDDieEsGDR69YBEFyyJBQtauZo4OpVWLBAvT5vHtjb57y9n99/idX06RATk/cYmjZvzqnU6yl//ZX3AoUQFsGgpMnW1pbr16/nuM2FCxdYsWKFQUEJIQqG5ORk/M6fB0B54QUzR6P65BN11FzXrtC6tX77/O9/ULo03L8P332X9xhq167NWRt1PXSZGVyIwsOgpOnVV19l06ZNOW6zefNmXn31VUOKF0IUEGdPnqRFYiIAJSzg837t2n8j4T76SP/97OzUWiZQR9nFxeUtDltbWyIqVQIgWVZKEKLQMChp0mfAXXJyMlZWRpsGSghhga78+CPuQISdHTaNG5s7HL7+Wq1l6tIFcjvzwcsvQ6lSEBYGK1fmPRbX1Gouz6AgiI/Pe4FCCLMzWVZz5swZPD09TVW8EMICJG7ZAsCDmjXBzP8kRUaqUwuAOvdSbtnYwJtvqte/+irvK6BU79KFUMAmJQX+/jtvhQkhLIKNvhu2ztA5YNmyZezLYuK25ORk/v33XwIDA+nTp0+eAxRCWKadO3dS7/59AHwsoGluxQqIjoYqVdRlUgwxbJjarHfpkro+naHlADRq3JhDQCcg6s8/cW3Y0PDChBAWQe+kKX2CpNFoCAwMJDAwMNN2VlZWeHp68tJLL/G1sdcnEEJYBEVR+GrsWLYByRoN7v36mTkedaQcqDN9azSGlePurjbTLVwIS5fmLWlyc3PjhqcnPHxI5O7duL77ruGFCSEsgt716SkpKdqLoih89NFHOvelXZKSkggJCWH16tX4+PiYMnYhhJmcOHGC8qnzD6U0baou5mbWeODyZXB0hLxOBzd0qPp33TqIiMhbWXGpU4zby6zgQhQKBnVC2Lt3L4MHDzZ2LEKIAuLYsWOkTWNp27OnWWMB+Pln9W/PnupElXnRsKHaxBcXB2vX5q0sl9SqKs/Q0LxnYEIIszMoaWrRogWlSpUydixCiALi/OHDtEi70bWrOUMhMRFWr1avZ7VcSm5pNP/VNi1blreyqrRoQSCpX7SnTuW8sRDC4unVpyltksqePXvi6uqaq0krZekUIQofhwMHsANi/PxwrljRrLHs2gWhoeDtDe3aGafM/v3hnXfgyBH4918oWdKwcurWrcsOoDQQs38/zvrOtimEsEh6JU1DhgxBo9HQuHFjXF1dtbdzoigKGo1GkiYhCpnw8HAapI6as+rRw7zBAKtWqX/79VOnDTAGX19o1gwOHYL162HsWMPKcXd351bRohAeTvSePThPm2acAIUQZqHXV8yPP/6IRqOhRIkSALKGnBDPsIP79tEp9brjSy+ZNZbERPj9d/W6sWc4eeklNWn69VfDkyaAJzVrwt69OFy4YLzghBBmoXdNU3rSCVyIZ9fNlSvpAcTY2+PcrJlZY9m/Hx4/VpvmjD0hee/earJ0+HDemujcW7UiZe9e3CMi1MXtihc3bqBCiHwj65wIIfT25MkTrLduBSCiaVPjtYcZaONG9W/37mBtbdyy/fzUJjqApyy1maPazZtzKfW6cvx4XsMSQpiRQUlTUFAQf/75J7Gxsdr7UlJS+Pzzz2nWrBlt27bljz/+MFqQQgjLsGXLFtqlrqNWfMQIs8aSkgKbN6vXTdW1qnt39W9aE6AhGjduzOnUjC4sNeEUQhRMBiVNH3zwAS+99BK2trba+2bMmMHkyZM5evQof/75Jz169ODEiRNGC1QIYX47582jKpBsZYVVp05P3d6UTp6Eu3fBxQXatDHNMbp0Uf/u3asu0WIIBwcHHleoAEDs/v1GikwIYQ4GJU2HDx+mbdu22qRJURTmzp1L5cqVuXPnDsePH8fZ2ZnZs2cbNVghhPmEhobieeAAAE8aNVLXHDGj335T/3bsCPb2pjlG5cpQpgwkJMCePYaX4962LQAeN27kfSVgIYTZGJQ0hYSE6ExuefbsWUJDQ3njjTcoWbIk9evXl5omIQqZnTt30iP1B9/ZGLNI5tGOHerfzp1NdwyN5r/aprw00dV45RXiAbfERJKuXTNKbEKI/GdQ0pS2zlyaffv2odFoaJ1u4jY/Pz/up87lIoQo+E5s3kzTtBtmnp8pLExtngNo3960x0pLmv74w/BKoloNGnAhtV/TnXXrjBSZECK/GZQ0BQQEcDzdKJBNmzZRokQJKlWqpL3v/v37FClSJM8BCiHMT1EUnHbuBOBx1arq7I9mtGuXmsDUrAmp08eZTIsW4OwM9+7BmTOGlWFtbU1QaqAx+/YZLzghRL4yKGnq3bs3hw8f5sUXX2TAgAEcOnSI3r1762xz6dIlypYta5QghRDmdfnyZdqkLjjrPHCgmaOB7dvVvy+8YPpj2dtD6rq77N5teDlPatQAwFEmuRSiwDIoaZowYQINGjRgw4YN/PLLL9SoUYOPPvpI+/jt27c5fvw4LVu2NFKYQghz2rdunXaBXltjT72dSykp//Vn6tAhf46Z2o87T0mTa+oQv5IhIZCUZISohBD5zaCkyc3NjWPHjnHu3DnOnTvHqVOn8PDw0Nlmw4YNjB492ihBCiHMK/KXX7ABQvz8wMw1yOfOwYMH4OT03+STppaWNB06BE+eGFZG+U6diAAcUlJIPnfOaLEJIfJPnmYEr169OtWrV8c6w1S8pUqVonv37vj5+RlU7vfff0/p0qVxcHCgUaNGOv2nsvL48WPGjBlDiRIlsLe3p2LFimyVSeSEMIozZ85Q7epVAOz69jVzNJDatYrWrU031UBGVauqq5/ExcHRo4aVUaFSJc6kflc+2LLFiNEJIfKLxS2jsmbNGsaPH8/UqVM5ffo0tWrVokOHDoSEhGS5fUJCAu3atSMwMJB169Zx9epVFi1aZHDCJoTQ9fP8+aQNUCsydKhZYwF1okkw3YSWWdFo8t5EZ2VlRWBqB/q4vEz6JIQwG4OTpt27d9OpUyeKFSuGra0t1tbWmS42BqxL9eWXXzJixAheffVVqlatyoIFC3BycuLHH3/Mcvsff/yRhw8fsmnTJpo1a0bp0qVp0aIFtWrVMvSpCSFSpaSkEPvrr9gD0SVLqlUuZpSYqDaRwX+ds/OLMfo1PalTBwBX6QwuRIFk0Gqb69evp2/fvqSkpFCqVCkqV65sUIKUUUJCAqdOnWLy5Mna+6ysrGjbti1Hs6kT37JlC02aNGHMmDFs3ryZYsWK0b9/fyZNmpSp2TBNfHw88anrZwFERkbmOXYhCqNjx47R+vFjABxeflmtcjGj06fV5Uw8PCB1MFq+SavZOnkSHj1SY8gt9w4dYMsWvB8/htBQKFbMqDEKIUzLoExn+vTpODo6snnzZp0JLfMqLCyM5ORkfHx8dO738fHhypUrWe5z8+ZN/vzzT1555RW2bt3K9evXGT16NImJiUydOjXLfT799FOmTZtmtLiFKKx+W7WKD1Kv21hAf6a0KY5atACrfO5cULKkuqzKlSuwf79h83tWb96ci0A1IOXIEazSVgQWQhQIBn3tXL16lX79+hk1YTJUSkoK3t7eLFy4kHr16tG3b1/ee+89FixYkO0+kydPJiIiQnsJCgrKx4iFKBgURSFm9WqcgKgSJaBuXXOHpE2azDWbSYvUeRcOHjRs/ypVqnAitVY+TDqDC1HgGJQ0FS1aFCcnJ2PHgpeXF9bW1jx48EDn/gcPHlC8ePEs9ylRogQVK1bUaYqrUqUK9+/fJyEhIct97O3tcXNz07kIIXSdOXOGNmFhANgPHGj2prn0/ZnMlTQ9/7z6N3Xd4lyzsbEhvHJlABINLUQIYTYGJU0vvvgiu3fvJsnIE7TZ2dlRr1499qQbWZKSksKePXto0qRJlvs0a9aM69ev66yFd+3aNUqUKIGdnZ1R4xPiWfLHzz/TMfW63aBBZo0FzNufKU3z5v/FEhVlWBkuqT3Ki928qWaCQogCw6CkaebMmRQpUoS+ffty584dowY0fvx4Fi1axPLly7l8+TKjRo0iJiaGV199FYBBgwbpdBQfNWoUDx8+ZOzYsVy7do0//viDmTNnMmbMGKPGJcSzRFEU4latwg54XLIkVKtm7pDM2p8pjb8/lCmjzkp+5IhhZVTr2ZNwwC4lBcXQxeyEEGZhUEfwGjVqkJiYyLFjx9i0aRNFihTB3d0903YajYYbN27kquy+ffsSGhrKhx9+yP3796lduzbbt2/Xdg6/c+cOVum+Mf39/dmxYwfjxo2jZs2a+Pn5MXbsWCZNmmTIUxNCoK4d+fz9+wA4DBli3mBSmbs/U5rnn4dbt9QmOkOWcWnQqBF7rKzolJJCyObN+DRsaPwghRAmoVEURcntTqVLl0ajZ/+GW7du5Tqo/BYZGYm7uzsRERHSv0kI4ItJk3hr1iz1v6pr16BCBbPGk5SkNstFR8PZs2DOadiWLIHhw+G55wzvEL6oTBlGBAZyo359yp04YdwAhXiG5Pfvt0E1TYGBgUYOQwhhKVJSUohZsQIbIKxUKbzMnDCBut5cdDS4u5uvP1OatM7gx4+r69A5OOS+DOvmzSEwkCKXLhk3OCGESVncMipCCPNatWqVtmnOKbUvobml9R9q0sR8/ZnSlC+vrkOXkKAmToYo/dJLJAFFY2NBpjwRosDI89fPpUuX2LBhAz/99JMx4hFCmNmyGTNInY4IJwvpz5SWNDVtat44QJ15Ia22af9+w8po1Lo1f6deD5X5moQoMAxOmk6cOEHt2rWpUaMGL730EkPSfbkeOHAAJycntsiXgRAFSlhYGLUvX8YKSGzYEEqVMndIgGUlTaD2ZwLDR9A5OztzI3VwS+jmzUaKSghhagYlTRcvXqR169bcunWLcePG0bFjR53HmzdvjpeXF7/++qtRghRC5I+DBw6QNiOT7bBhZo0lzd27cPu22ixnKQPN0qaNO3ZMnX7AEErjxgDYnz5tpKiEEKZmUNKUtqbbqVOn+OKLL2jQoIHO4xqNhiZNmnBCRoUIUaBcX7+eGkCitTW89JK5wwEgba3umjXB1dW8saSpVQscHeHxY7h61bAy/FPX8gsID0eJjjZecEIIkzEoadq/fz+9e/emfPny2W4TEBDAvXv3DA5MCJH/SuzeDcC9+vXVMf4WwNKa5gBsbaF+ffV6WlKXW3V79uSORoMtcHv1aqPFJoQwHYOSpqioKLy9vXPcJi4ujuTkZIOCEkLkv+A7d2gbEgKA88iRZo7mP5aYNMF/TXSGJk0ODg5cS11T84F0ZRCiQDAoafL39+f8+fM5bnP69GnKlStnUFBCiPx34IMPKA48srGh6CuvmDscAOLi1HXeoPAlTQBJqU/K+eRJI0QkhDA1g5KmLl26sHPnTnanVuVntHbtWo4dO0aPHj3yEpsQIp+EhYVhs2oVAPdbt1bbnyzAyZPqmrbFi0Pp0uaORlda0nTpEkREGFaGf2pyWv7hQxINXQFYCJFvDEqapkyZgq+vL506dWLEiBGcTP0vad68eQwcOJD+/ftTunRpxo8fb9RghRCmMe/TT+mcmAhAxenTzRzNf9I3zem5clO+8fFRF+9VFPjrL8PKqNKtGw80GhyAqzLXnRAWz6CkqVixYuzfv58GDRqwZMkS/vjjDxRF4fXXX2flypU0aNCAP//8M8tFfIUQlkVRFGJXrMARiPDzw9pSxvVjuf2Z0uS1ic7K2pobfn4AhK5fb6SohBCmYtDacwBly5bl8OHDnD17lmPHjvHw4UPc3Nxo1KhRpikIhBCW6++//6ZjWBgADiNGWEyVjqJYftLUtCn88kve+jWlPPccrF6Ni8zXJITFMzhpSlO7dm1q165thFCEEOawf9EixgLJgL2FTGgJEBgIYWFq96q6dc0dTdYyTnJpyLp4pQYNgtWrqfr4MdGPHuFiIVM9CCEyM6h5rmzZsnz77bc5bvP9999TtmxZg4ISQuQfl7VrAbhXqxaULGnmaP6TNqCsZk2wtzdvLNmpWROcnNSO4JcvG1aGf4cOPLKywhn4e+lSo8YnhDAug5KmwMBAHj9+nOM2jx8/5vbt24YUL4TIJ9cvX6ZzatOcu4UN3EhLmtImkbRENjaQ1hvB0M7gWFkR6O8PwKNNm4wSlxDCNAxesPdpIiIisLfUfw+FEACcmDZNnZvJ1hbXl182dzg6CkLSBP8lTXlaNer55wFwO3s2z/EIIUxH7z5NBw4c0LkdGBiY6T6A5ORkgoKCWLlyJRUrVsx7hEIIk3jy5AmeGzcC8OCFF/CwkLmZQO0fdOqUet3Sk6a0wYbHjxteRulBg+Cnn6gVFcWD4GB8fH2NE5wQwqg0iqIo+mxoZWWFRs9RNYqioNFoWLZsGQMHDsxTgPkhMjISd3d3IiIicHNzM3c4QuSL1XPm8NKECVgDSRcuYFOtmrlD0vrnH6hYUe3LFBVlMXNtZikwUJ2vycZGjdXBwYBCkpOJsrPDNSWF7Z98wgvvvWfsMIUolPL791vvmqYPP/wQjUaDoihMnz6dFi1a0LJly0zbWVtb4+npSatWrahSpYoxYxVCGImiKIR88QXWQFCZMvhbUMIE/zXN1a5t2QkTQKlS4OWljvT7+29o1MiAQqytuVOmDNVu3CBy40aQpEkIi6R30vTRRx9pr+/fv59XX32VQYMGmSImIYSJ3fjnHzrfvw+A58SJZo4ms4LSnwnUaa0aNoStW9UmOoOSJsCmQweYNw/v8+dJSUnBypD5C4QQJmXQp3Lv3r2SMAlRgF2eP59yQLS1Nc6DB5s7nEwKUtIExukMXua11wBomJDAmbzMlimEMJk8T24ZExPD48ePSU5OzvLxgICAvB5CCGFkHqlLdlypU4f6Tk5mjkZXcjKkTY79LCVNdjVr8tDBAc8nT7iwaBH1mjUzTnBCCKMxOGlasmQJc+bM4erVq9luo9FoSEpKMvQQQggTSA4OpmFQEAC2o0ebOZrMrl2D6Gh10siC0i0yLWm6ckWd6NKgZTc1GsJr18bz2DE0e/YYNT4hhHEYlDTNnz+fMWPGYGNjw/PPP0/JkiWxsclzpZUQIh9cnjCB6sBxa2vqWuDo1rSmubp1wdravLHoy9tb7RB++7Y6VULr1oaVU6R3bzh2jMr//kt0dDQuLi7GDVQIkScGZTpff/01Xl5eHDp0SOZiEqIAUZKS8Fy3DoCgrl1paIH/7KQ1cRWUprk0DRqoSdOJE4YnTcX69YOJE6kH7PnjD9r37WvUGIUQeWNQR/Dbt2/Tp08fSZiEKGCufvUVvomJhAFtFywwdzhZKmidwNMYY5JLSpbkXpEiWAN3V640RlhCCCMyKGkqUaJEth2/hRCWKzF1oe3j1arh7uNj5mgyS0qCM2fU6wUtaTLKcipAdOqcBY5HjuQxIiGEsRmUNA0ePJht27YRExNj7HiEECYSc+4cNf79lxTAy0InT7x0CZ48AVdXqFDB3NHkTr166pxNQUGQOgWWQbz79wegdng4ISEhRopOCGEMBiVN77//Pg0aNKBdu3YcOHCA6OhoY8clhDCym5MmAXDAyYkG/fqZOZqspTXN1asHBW1uR1dXqFxZvZ6X2ib37t1JBioDx9auNUZoQggjMehryd7eng0bNnDs2DFatWqFu7s71tbWmS4yok4ICxEXR8Du3QCEvvii3utI5reC2p8pTVq/pjw10bm7cyd1wd7Ha9bkPSghhNEYlNU0b97cYr90hRCZ3fvmG0okJREINPvkE3OHk62CnjQ1aADLl+e9X1NCmzbw008UT5vlUwhhETSKoijmDsLc8nuVZCHy2x1fXwLu3WNZpUoMuXLF3OFkKSFBbeJKSIDr16FcOXNHlHtpa895eqoL+Br6v2Xs4cM4Pfcc0cClAwdo2Ly5UeMUorDI79/vAtZrQAiRW7EHDhBw7x7xQLHUfk2W6MIFNWEqUgTKljV3NIapVQtsbeHhQwgMNLwcp6ZNeeToiAuw84MPjBWeECKPJGkSopC7NX48ANtdXOhggTOAp0nfNFdQW//t7aFmTfV62vMxiEZDUrt2ABQ5coT4+Pi8ByeEyDO9+jQNHToUjUbDzJkz8fHxYejQoXoVrtFoWLJkSZ4CFEIY7smtW1Q4dUq9MW6cRQ/OSEsy0uY7Kqjq11eXUjlxAl56yfByig4YAFu20DYxkUOHDtGmTRvjBSmEMIhefZqsrKzQaDRcvnyZihUrYqXnWGCNRlMgJsGUPk2isDrXqxc1N27kpJ0dtaKjsbW1NXdI2apTB86ehfXroVcvc0djuCVLYPhwaNUK/vwzDwVFRJDk4YGNovDZ8OG8u2iR0WIUorDI799vvf7tvHXrFgB+fn46t4UQFuzJE/x//x2AWz16UN+CE6a4OLVPExTckXNp0uI/dQpSUvIw35S7O2GVK1P88mWsduwwWnxCCMPplTSVKlUqx9tCCMsT8u23eCcmcgdo9Omnudo3MhJ271abmC5fVjs2JySoo8L8/dUmtBYtjDdr97lz6hIqxYqp5RdkVauCg4P6Gv7zD1SqZHhZjr17wyefUD0oiEePHuHh4WG8QIUQuWa5HRyEEIZTFJLmzAFgZ4UKDNdjOJqiwL598O238McfkJiY/bYLF6p/69aFoUPh1VfBycnwcAtDJ/A0trZqU+PRo+rzykvS5N6vH3zyCa2BXdu20TV1iRUhhHnI6DkhCqGkPXvwDQkhBvCeMuWp2x89Cs2aQevWsGmTmjBVqAAjR8J338Gvv8LGjbB4MUyeDM8/DzY2cPo0vP66OqfS99+DoV0YC/qklhmlPY88jaADqFqVEHd3HICQn37Ka1hCiDySmiYhCqEHU6bgB6xzdKT/K69ku11MDEyYAAsWqLcdHdVao9GjoVq1nI8RFgYrV8JXX8Ht22rytGyZmljVqpW7eAtr0pTXmcHRaHjcsiXemzfjdfAgycnJWFtb5zk+IYRhpKZJiMLm5k1KpP5aPxo4MNsRc2fOQO3a/yVMQ4eqM3F///3TEyYALy8YOxauXVP3cXdXk59GjWDRIrW5Tx8xMXDpknq9sCRNadMmnDmj9tXKC/833wSgZUwM27dsyWNkQoi8kKRJiELm8SefYAVsB3pMnpzlNuvXq81x169DyZJqp+8lSyB1ndhcsbNTa6YuX4YuXSA+Hl57DYYNUzuPP83Zs+oosxIlDDu+JapYEVxcIDYW8rpqjWPLlkQ4O+MO7JXZwYUwK0mahChMoqJwWLkSgEP16lG6dOlMm3z5Jbz4ojrMv0MHdeSaMeZNLFECNm+Gzz9Xh9kvXQrdukF0dM77FbamOQBra7WTPBihic7KCuvUiasqXLwoU74IYUaSNAlRiCQtXoxDQgJXgPpZdACfORPeflu9/uab8PvvYMxR7FZW8M47arlOTrBjh5qQRURkv09hTJrgvya6PHcGB1wGDACgO7B5w4a8FyiEMIgkTUIUFsnJxH3+OQAr3N3p0q2bzsPTp8N77/13/Ztv1BFwptCxozobdtGicPw4dO6s9l3KSmFNmow2gg6gZUueODhQHLizdq0RChRCGEKvpMnKygpra+tcXyx5nSshCp1Nm3B98IBwwHHkSJ3P34IFMHWqev2zzyA/usY0agS7dkGRInD4MHTvDk+e6G4TGQlXr6rXC2vSdPasfn27cmRnx5PUNtRSp04RFxeXxwKFEIbQK6t5/vnn0WSYce7Ro0ecO3cOa2tr/P398fHx4cGDBwQFBZGcnEzNmjVl9loh8ouiEPfxxzgC84HBo0drH9q8GcaMUa9PnQqTJuVfWHXqwLZt0K4d7Nmjdg7/+ef/JrA8fVodZRcQAN7e+RdXfihXTk0YHz9Wl4hJ6+NkKPehQ+GPP+iVnMyBffvo0LGjMcIUQuSCXjVN+/btY+/evdrLTz/9xKNHj+jfvz83btzg5s2bHD16lJs3b3Ljxg1efvllHj9+zE8yGZsQ+ePIERz//psnwJW2bQkICADUprF+/dTRacOH/1fblJ8aN1YnzLSxgV9+gU8++e+xwto0B2piaMwmOk2nTsTa2uIPXF68OO8FCiFyzaA+TRMmTKBEiRL8/PPP2i/nNAEBAaxcuZLixYszceJEowQphMhZ7PTpAKwAXhk/HoCQEOjdW20S69wZ5s833xIlbdrAvHnq9Q8/VGcYh8KdNIERJ7kEcHAgvHlzANy2bSMprxNACSFyzaCkaffu3bR5yhjl1q1bs3v3boOCEkLkwtWrOOzcCcD+unV54YUXSEqCvn3h33+hcmW1hsfcXQxHjIDUfI6hQ9W+TM9K0mSUzuBAidQXsEtcHH+mvudCiPxjUNL05MkT7t27l+M2wcHB0llRiHyQMGsWVsAWYOisWWg0GqZMURffdXGBDRvAzc3MQab6/HNo2VKdu6lXL7hxQ72/Xj2zhmUyadMOXLigzouVVzbt2xPl4IA38PeXX+a9QCFErhiUNNWrV4/Vq1dz9OjRLB8/cuQIa9asoUHaN4YQwjRCQrBasQKA1SVL0rp1a3buhNmz1YeXLoUqVcwYXwZp/Zp8fP5bOqVsWfD0NG9cpuLvD8WKqUup/P23EQq0tSUmtQN4if37efz4sREKFULoy6CkacaMGSQnJ9O8eXN69uzJnDlz+Omnn5gzZw49evTg+eefR1EUPknf41MIYXTK3LnYJCXxF1Bv7FjCwzUMHqw+NmaMOvO3pSlRQk2c0vpX+fiYNx5TMnZncACft94CoGtSEkvnzzdOoUIIvWgURd9lNXXt2bOH1157TTulv0ajIa2oMmXKsHDhwqf2e7IUkZGRuLu7ExERgZultGMI8TSxsST6+mIbEUF/Gxu+Cb7Ha695sWmTWrt06hQ4Opo7yOxVqaKuy+boqDbTlShh7ohMY+pUdTLRwYNh2TIjFJiSQnSxYrg8fMgb3t58e/9+pilhhHhW5Pfvt8Ezgrdp04br16+zf/9+vv32W6ZPn863337L/v37uX79ep4Tpu+//57SpUvj4OBAo0aNOH78uF77rV69Go1GQ48ePfJ0fCEs3vLl2EZEcBOweekltmxREyZbW7Umx5ITJvivj09cnDodgmH/vlk+o46gA7Cywm7oUAA6hYRw8eJFIxUshHgag2uaTGnNmjUMGjSIBQsW0KhRI77++mt+/fVXrl69incOM+AFBgby3HPPUbZsWTw9Pdm0aZNex5OaJlHgJCeTULYsdnfu8DrQYcspBgyoS2QkzJoFlj7bR2jof5NZ2tmpM2YvXKiOsCts7t0DX1+1qS4yUu2cn2fXr0OFCiQD37/zDm+mLp8jxLOmwNQ0pbl06RIbNmww6kSWX375JSNGjODVV1+latWqLFiwACcnJ3788cds90lOTuaVV15h2rRplC1b1mixCGGRNm/G7s4dHgJBbdqyeLGaMDVq9N+wfkt26pT6t1IldRFhUBcSvnvXfDGZSokS4Oen1qSdOWOkQsuX51758lgDdmvWGKlQIcTTGJw0nThxgtq1a1OjRg1eeuklhgwZon3swIEDODk5sWXLllyXm5CQwKlTp2jbtu1/QVpZ0bZt22xH6wFMnz4db29vhg0b9tRjxMfHExkZqXMRoiBJSM005gENWn7Pli1qs9ySJWBtbd7Y9JF+fqa33lJnDY+KgjffNGtYJmP0JjrA7n//A6D17ds8DA83XsFCiGwZlDRdvHiR1q1bc+vWLcaNG0fHDGsgNW/eHC8vL35Nm/Y3F8LCwkhOTsYnw5AaHx8f7t+/n+U+hw4dYsmSJSxatEivY3z66ae4u7trL/7+/rmOUwizOXwYu1OniAf212rNd99VBGDyZKhWzbyh6SsteahfX03yFi5UpyPYsAEM+F/L4hl7BB1A0ZEjibWyoiKw66OPjFewECJbBiVNU1MXsDp16hRffPFFpvmYNBoNTZo04YQx/63KRlRUFAMHDmTRokV4eXnptc/kyZOJiIjQXoKCgkwcpRDGk/TZZ4C6ZEqy5yJCQtSRaFOmmDeu3Mg4E3iNGmrzHKhTJURFmScuU0n7ijRm0oSLC0GNGwOQtHAhoaGhRixcCJEVg5Km/fv307t3b8qXL5/tNgEBAU+dNTwrXl5eWFtb8+DBA537Hzx4QPHixTNtf+PGDQIDA+natSs2NjbY2NiwYsUKtmzZgo2NDTfSphxOx97eHjc3N52LEAXCpUvY/P47KcAPXp3Zu1ftv7d4Mdjbmzc0fQUHqxcrK6hd+7/7P/wQypRRl3754AOzhWcSaTOe//MPGHM+ynIzZgDQMyGB6ePGGa9gIUSWDEqaoqKichzFBhAXF0dycnKuy7azs6NevXrs2bNHe19KSgp79uyhSZMmmbavXLky58+f5+zZs9pLt27daNWqFWfPnpWmN1GopKSOklqPhlCnJYA6/0/TpuaMKnfSOoFXqaI7kszJCRYsUK/PnasuPVJYeHlB6dLq9bTnbww2LVoQU64cToD9qlVS2ySEiRmUNPn7+3P+/Pkctzl9+jTlypUzKKjx48ezaNEili9fzuXLlxk1ahQxMTG8+uqrAAwaNIjJkycD4ODgQPXq1XUuRYoUwdXVlerVq2NnZ2dQDEJYnDt3YOVKAKY6jOHOHR/c3CC1ta7AyGmR3vbt1TXpkpPVDuKWNyGK4UzSRKfR4Jw6v8RrKSn8tHy5EQsXQmRkUNLUpUsXdu7cye7du7N8fO3atRw7dszgCSb79u3LF198wYcffkjt2rU5e/Ys27dv13YOv3PnjkFNf0IUZMmzZ2OVnMwminDHWq1x+ugjyKLV2qLllDQBfPGF2tS4Zw9s3px/cZmaKUbQAfDKK8Q7OFARCFy82MiFCyHSM2hyy9DQUOrWrcuDBw8YPHgw9+/fZ+vWrXz33XccPXqUVatWERAQwJkzZ3B3dzdF3EYlk1sKixcWRpKfHzYJCZS3+4EbCa9RtSqcPatONVBQKIqa5IWEwNGj6lQDWXn/fZgxQ13M9+JFcHDI3zhN4c8/oU0bKFUKAgONW3bMsGE4//gjm4D6QUGULFnSuAcQwkIViMktixUrxv79+2nQoAFLlizhjz/+QFEUXn/9dVauXEmDBg34888/C0TCJERBkPz119gkJLCGqtxMHA7Ad98VrIQJ1E7eISHqNAO1amW/3bvvqrNo37wJX32Vf/GZUlpn8Nu31RnRjcl5wgQAugK7liwxbuFCCK08L6Ny9uxZjh07xsOHD3Fzc6NRo0aZpiCwdFLTJCxadDTxxYtjHxNDgO12ghI70LOnOqdRQbNhA/TurSZMZ8/mvO3KlTBgADg7w7VrahJV0FWqpD6XrVshw/R2eXanYkUC/vmHn319eeXff2URX/FMKBA1TenVrl2bkSNHMmXKFF5//fUClzAJYfEWLsQ+JobltCQosQM2NgWv83eatP48+nxN9O8PTZpATIzad6swMMUkl2kc330XgK7Bwfwwe7bxDyCEMCxpmj59Ol988QXx8fHZbrN//36mT59ucGBCCCA+nqRZs0hBw9uoP4T/+x9UrGjmuAyUlizokzRpNGqncFCXh7l82XRx5ReTjKBLVWzIEB76+OAOBL73HiEhIcY/iBDPOIOSpo8++ohJkybRunXrbOcF2bdvH9OmTctTcEI865Sff8bmwQPm0Y9w6uPqqk4CWRApSu6SJlDnn+rRA1JS1GViCjpT1jRhZYXHJ58AMCYpiRXSt0kIozO4ea5ChQocO3aMRo0acenSJWPGJIQASE4m8oMPiMeO91AX6J00CZ4yr6zFun5dnQ3b3h6qV9d/v5kz1dnDN2+Gw4dNFl6+qFNHfS5ps6Ibm2bgQGLc3PAHomX6ASGMzuCkqX///vzyyy/cv3+fZs2asXPnTmPGJYTYtAn3e/eYxetEUhpfXyjIK2Wk9WeqXTt3o/6qVIFhw9Tr77xTsCe8dHaGqlXV6yapbbK3J3nMGAB63bzJPVNkZkI8w/LUEbxv377s2bMHOzs7unTpwvz5840VlxDPNkUh6v33icCNT3kPgI8/VpcaKahy2zSX3kcfgaMjHDlS8Ce8NGkTHeA2cSKxVlbUBM6mrk0nhDCOPI+ea9KkCX/99RcVKlTg9ddfZ9y4ceRxFgMhxJ49uF65whzeJA5PqlRR15gryHIzci4jX18YP169/u67kJRkvLjym8lmBk/j4cG5554DwP/HH0lMSDDRgYR49uQ5aQIoXbo0R48epU2bNnz77bd0796dqKgoYxQtxDMp8p13iMCNOajtcR98oE4IWVAlJcHp0+p1Q2clmThRXfj26lX46SfjxZbf0o+gM9X/l5UWLSIGqP7kCX+kNtcJIfLOKEkTgJubG9u2bWPEiBH8/vvvfPPNN8YqWohny4EDuJ05w1e8QSyeVK4MffqYO6i8uXwZYmPBxUWd4NEQ7u5qR3iA6dOhoFag1KwJNjYQFqauwWwKHhUrcr1DB0CtbQoy1YGEeMYYlDSVKlWKIkWKZLrf2tqaBQsWMHv2bFJSUvIamxDPpIQPPiASV2ajtkcV9Fom+K8pql49dfSYoUaPVteuCwyEpUuNElq+c3CAGjXU6yZrogNqLF9OnJUV9VJSWN63r+kOJMQzxKCvr1u3bvHmm29m+/jbb79NcHAwN2/eNDgwIZ5JR49id+AAX6fWMlWqBIXh9y4vncDTc3L6b76mTz6BJ0/yVp65mHKSyzRWPj5Ep3aE63DsGNeuXjXdwYR4RhiteS4jHx8fSpUqZarihSiUot55h0hcmZVay/ThhwW/lgny1gk8o9deg5Il1cV/Fy7Me3nmYOoRdGmKff45cdbWNACOprVtCiEMpteCvXdS28P9/PywtrbW3tZHQECA4dHlE1mwV1gC5cQJNA0b8gmT+YCZVKqkcPGipsAnTfHx4OoKiYlw8yaUKZP3Mn/4AUaOBB8ftcyCNhXDmTNQt67aT+vhw7w1WT7N1b59qbR2LdetrfF//Bh7FxfTHUyIfJbfv996JU1WVlZoNBouX75MxYoVtbefWrhGQ1IBGBssSZOwBPebNMH52AV8CSSaovz8M7zyirmjyrsTJ6BhQyhaFEJD1TXl8iohQe1QHhgIs2fDhAl5LzM/JSaqiWR8PFy7BhUqmO5YSQ8fElGsGEVTUjj0yis89/PPpjuYEPksv3+/bfTZaNCgQWg0Gtzd3XVuCyGMI/nMGYofO8ZM3iWaolSsCP36mTsq40jfn8lYXxt2dmrT5dCh8Pnn6iLGrq7GKTs/2NqqM6P/9Zf6+pgyabLx9ORc9+602riRir/8wuPPPqNIyZKmO6AQhZheSdOyZctyvC2EyJug//2PorjwKWqVSWEYMZcmrT9TWj8eYxk4ED79FP75B777DqZMMW75pla/vpo0nTgBL79s2mM999NP3PbwoFRiIkuaNWPgP/9gZ2dn2oMKUQiZsCVdCKGPhLNnCThxgu8ZU+hqmcC4ncDTs7GBqVPV6198AZGRxi3f1PJjBF0aW2dnEj/6CIC+d+7w+6JFpj+oEIWQJE1CmFngkCHE4qytZXr/fTUhKAxiYuDSJfW6sZMmUJPLypXh0SOYO9f45ZtSWs3b6dOQnGz645WfPJkgPz9cgKKzZpn+gEIUQnp9NQ8dOtSgwjUaDUuWLDFoXyGeBY/27aPi33/zGe8QiRcVKpi+qSY/nTkDKSng5wclShi/fGtrNckcMADmzIE33ig4fZsqVwZnZzWxvHIFqlUz8QE1GqJnzIAhQ2hx5w7xe/di36qViQ8qROGi9+g5gwrXaEjOj3+h8khGzwlzOVuqFOXvhOOnuU2kUpTly2HQIHNHZTxffglvvw09esDGjaY5RlISVK2q9m36/HN45x3THMcUnn8eDh6EZcvyZ0FmRVFY4+JCv9hYHpcrR5GrVwtP5znxTLLI0XO3bt0ydRxCPHMe/P47te/c4TMmEqkUpXx56N/f3FEZ17Fj6t/GjU13DBsbeO89GDJE7ds0Zoxag1MQ1K+vJk0nT+ZP0qTRaDjfvz8dFy+myI0bRH/7LS7jxpn+wEIUEnrVNBV2UtMkzOGf8uUpceO+tpYpv2ob8lNAAAQFwb590KKF6Y6TmKg2d928qdZuFZQ84Jdf1Lm4GjX6L8E0tZCQEBZUrsyHjx7x2MYGl+BgbIoVy5+DC2Fk+f37LR3BhTCDhD//pMKNG3zPKCKVopQrVzgmskzv7l01YbKyMv50AxnZ2v435cCsWRAXZ9rjGUta5/izZ9XELz94e3vT+88/uWxlRZGkJC716pU/BxaiEMhzTVNQUBDBwcHEx8dn+fjzzz+fl+LzhdQ0ifyUnJzMVV9fSoVE40sgkRQrlLVMGzZA797qJI5nzpj+eAkJULEi3L4N336rdgq3dCkp4OkJERHqa1S7dv4de8v48XT76itSgCe7duHUtm3+HVwII7HIPk1Z+e2335g4cSL//PNPjtsVhI7gQuSnpQMGMDwkhM94m0iKFcpaJsif/kzp2dnB5MnqmnSffQYjRoCDQ/4c21BWVlCvHvz5pzqfVX4mTZ1mzWLd4sW8GBVFzIABON25o76IQohsGdQ8t2/fPnr27El0dDSvv/46iqLw/PPP89prr1G1alUURaFz5858+OGHxo5XiAItLCSEumvWEIMTs23fBwrXvEzppSVNjRrl3zGHDIGSJSE4GJYuzb/j5kV+TnKZno2NDYkzZxICFHvwgIQZM/I3ACEKIIOSps8++wwXFxdOnTrFN998A0CrVq2YP38+58+fZ8aMGezZs4fu3bsbNVghCrr9Y8ZQV1H4RjOah4lFKFtWnWOosElM/C8JyK+aJgB7e3j3XfX6p5+qTXaWLq2/V34nTQAv/u9/zPT2BkAzY4a6erAQIlsGJU0nTpygR48e+Pj4aO9LSUnRXp88eTJ16tSRmiYh0gm6fp1669cTgxNz7N4DCm8t0/nzamfsIkXUfkb5adgwdSLNoCBYvjx/j22ItKTp3Dl48iR/j21ra0urH35gO2CbnMz9Hj1ABlQLkS2DkqbY2Fj8/Py0t+3t7YnMsPBT48aNOXz4cN6iE6KQUBSFbV27UlpR+MJqDA/jC28tE+g2zRk4N67BHBxg0iT1+syZ+TcqzVClSoGXlzpJ599/5//xu/fowcUxY4gFil++zOMvv8z/IIQoIAz6OitevDihoaHa235+fly8eFFnm/DwcOkELkSqn7/7jhevXCEWR+Y6qjWw772nDpUvjPK7E3hGI0aAjw8EBsLPP5snBn1pNNCwoXr96FHzxDDu229ZHBAAgP3kyXDnjnkCEcLCGZQ01apViwsXLmhvt2rVir1797Jq1SpiYmLYsWMHa9eupWbNmkYLVIiC6p9//iHk7bfxBL5wmUhYjAtlysDAgeaOzHTMnTQ5OcHEier1GTPUWhxL1qyZ+vfIEfMc38rKipo//sgRwDExkbj+/aWZTogsGJQ0devWjbNnz3L79m0ApkyZgouLCwMGDMDNzY1OnTqRlJTEJ598YtRghSiIlr73Hq8nJRGLI/NsJgOFu5YpPFxdBw7+q0Exh5Ej1WavGzfUmbctWdOm6t/Dh82Xq7Rs04ZFTZsSCzgePoyyYIF5AhHCghltGZUbN27w5ZdfcvPmTUqVKsXIkSOpnZ+TjuSBTG4pTOXu3bucCQigS0oKMwK+5P074yhdWh2kVFiTpq1boXNntQP41avmjeXzz9XRdBUrwqVLlrs2bWwsuLlBcrLapFiqlHniOHfuHMvr1mVOcjIJdnbYXb4MZcuaJxgh9FBgl1EpV64c33//Pdu2bWPBggUFJmESwlRSUlL4rlMnuqSkEIUjc2PVKaoLcy0TmL9pLr3Ro9UZt69dg9WrzR1N9pycoE4d9bo5x8/UrFmTit99x37ALiFBbaZLNzJaiGedrD0n8pWiKOzfv58vv/yS559/noCAAD7++GNeffVV3nzzTYKCgswdotGs/eknhp47B8A3DRZzP8yG0qVh0CDzxmVqaT/6TZqYNw4AV1d4+231+iefqDU5lsrc/ZrSvDZyJEuaNSMacPzrL/juO/MGJIQFyVPz3NmzZ/n7778JDg4mMYtxvRqNhg8++CBPAeYHaZ7LHzExMUweOBCHjRtpDVQDigFPgAfAaWC/nR0V33mHZl26ULt2bezt7c0ZssGioqKY6+/P5IgIQp29qOnygPsPrFi0CIYPN3d0ppOYqM7NFBsLFy5AtWrmjggiI6F0aXj0CFatgn79zB1R1tauhb5982+tvpycPHmSJQ0aMB9IsrXF5swZy3gzhcgg33+/FQM8ePBAadOmjWJlZaVYWVkpGo0my4uVlZUhxee7iIgIBVAiIiLMHUqhdefQIWWzi4uSqPZzzfESB8o8ULpUrar89ddf5g7dION79lSiU5/PF32PKKAopUopSny8uSMzrePH1bfRw0NRkpPNHc1/pk9X46pa1bLiSu/ff9UYrawUJTLS3NEoyqR33lG2pp7DTypWVJS4OHOHJEQm+f37bVBN00svvcT69evp1KkT/fr1o0SJEthkM61xixYt8pjWmZ7UNJnOnt27Ofryy4wPC8Mp9b5HNWrgMWyY2umleHGIj4dbt1COHCFs4UKK3b8PQALwBRDz1lvM+Oorcz2FXNu2dSs2nTvTDrhfsxF1Qo5y/76GhQvV+YMKs6++gvHjoUsX+O03c0fzn4gItXN1RIRao/PSS+aOKGulS8Pt27BrF7Rta95YkpKS6NOiBQuOHMEbSBwzBtu5c80blBAZFIiaJldXV6V169bGTd/MSGqaTOPc0aPKr1ZW2hqkk87OSsj27TnvlJKiPNm1S4lp1ky7301QtkyalD9B59HJkyeVcR4eigJKgo2N8s37DxRQlICAwl/LpCiK0quX+rZ99pm5I8ls6lQ1turVLbe26eWX1RinTTN3JKp79+4prxQp8l9N8LZt5g5JCB35/fttUEdwW1tb6tWrZ9zsTRQqiWFhJLZty4spKSRqNIS8/z51IiIo1qFDzjtqNNi3bYvTwYOwcSMR7u6UATp+/jl3R4+26J68kZGRDH7hBd5/9AiA6ElT+WyJuhjqe++BnZ05ozM9RYFDh9Trzz1n3liyMnasOqz/wgXYuNHc0WQtrTO4paxAVbx4cYZv3Eha/VJC//6QbjUIIZ41BiVNzZs35+zZs0YORRQWYTdvcqdSJerGxBCh0RC5cSPeH3+MVW4mydFooEcPXAMD2VeyJDaA3/z5XKxYkYeBgaYKPU9mzpjBJ2FheAJJNWvys9dk7t2DgAAYMsTc0Zne9esQEqImh5b4P5WHh5o4AUyfbpkj6dMmuTx2zHL+P2jZsiVXhg7lImD36BGJAwfKbOHimWVQ0vTpp59y8uRJ5kr7tsgg6MYNLlWtSrmHDwkFjn/2GUW7dze4PKsiRah59iwTixUjDqh28yahFSty9+BBo8VsDNeuXSNyzhx6ACk2NiQtXMFns9UkccqUwl/LBP/VMjVooC6aa4neekudhuDcOdiyxdzRZFajBri4qCP+MiznaVafzJnD2GLFiAdsd+wgSaYhEM8og6ccuHjxIs2bN8fLy4uaNWtm2QFLo9GwZMmSPAdpatIR3EgUhT9Ll6b1nTvEaDRc/eEH6hqp53N0dDQHv/ySutOn45OczEMrK1LWr8erRw+jlJ8X//77L0MaN2bL3bs4Acrs2XzvMIE33gB/f7UG5llImoYNgx9/hEmT4LPPzB1N9t57D2bOVCeTPHVKrdS0JG3bwp49MG8ejBpl7mj+c+bMGVY3bsznCQkkWltje+oU1Kpl7rDEM65AdAS/efOmUr58+WynGpApB55N519/XVFASQTl5vffm+QYwSdOKOfs7RUFlHiNRkn+6SeTHEfveIKDlWrlyimn0qZLaN5ciY1OVkqUUPvNzp9v1vDyVaVK6nP+7TdzR5KzsDBFcXZWY92yxdzRZJbWYb1fP3NHktnW339Xfks912P9/RVFvjOFmRWIKQe6dOnC1q1bGTVqFC+//HKOUw6UMtciSrkgNU159++WLRTr3h17YMvzz9Nt/37tY0+eqB1bL12Chw/B3V2dJ69JE7UpIreunjnD5QYN6JHa6SP23Xdxmjkz36sM4uPjadigAW+dP8+rQLKHB9YXLvDNr7689Zbal+mff56NWqbQUPBW+7wTHq4uXWLJ3n1XXZeuXj04ccKyapv27YNWraBECbh717JiAxjTrx+T1qwhAIjv0QP7DRssL0jxzCgQNU2urq5Kt27djJu+mZHUNOXN6QMHlBupUwvscHRUolJn5gsMVJQxY/77rz7jxclJUYYPV5QbN3J/zCWLFimz0hUW36+fojx5YuRnlrPp06crY1KPn2JlpSg7dyqxsYpSvLga1g8/5Gs4ZrVxo/qcq1UzdyT6CQlRzz9QlN9/N3c0umJjFcXOTo3t6lVzR5NZaGio0rN4cSUh7bP3zTfmDkk8wwrElAP29vZUrFjRuNmbKJAUReFKz56UTUnhnp0dVf/6C0cnV+bMgapV4fvvISYGfH2hVy947TV48UW1FiY2FhYvhipVYNo0SErS/7hDhw+n8YEDTHR1JQmwW72alHbt1KqsfHDx4kWOffIJX6fe1syaBe3asWAB3L+vTlL4LIyYS5PWL98SpxrISrFi6mK+oI6ks6TBYI6O/y12nK7C1mJ4eXnxyZ49TEvr7T9uHCmnTpk3KCHyiyGZ1ssvv6w0bdrUyPmb+UhNk+FOf/WVtrbn8YYNyqNHitKx43+1Sc2bK8ru3YqSkqK7X0qKohw4oCht2/63bcuWivLgQe6Of/z4caWrnZ0SkVpIjL+/ovzzj7GeXpbef/99pZGVlRKZVsvUv7+ipKQo0dGK4u2tPpfFi00agsWpU0d93r/8Yu5I9Hf/vqI4OlrmnI0ffKDG1b+/uSPJ3p979ii/aTSKAsojLy9FefzY3CGJZ1B+/34blDTdvXtXKVOmjDJhwgQlrhCsRyRJk4Gio5Xg1DaOg1WrKvfuqWt7gfpjtGhR5mQpo5QURVm5UlFcXNT9KlRQlNu3cxfGtm3blFbFiimBqUlMgpubohw6ZPjzysHy5cuVKqCEpq3J9dxz2mbB2bPV51C2rKIkJJjk8BYpPFxRUn87leBgc0eTO+PHq3E3bvz0czU/7d6txuXnZ1lxZbTws8+0n7voTp0sO1hRKBWIpKlVq1ZK7dq1FSsrK8XNzU2pV6+e0qpVq0yXgrLUiiRNhgkZNkxRQLkNypEdZ5UqVf77oj91KndlXb6sLmgLiuLvryh37uRu/9jYWKV/69bK8dQv8GRbW6NXe2zfvl1p6uCgTZiU+vW1K6tGRSlKsWLq3T/+aNTDWry0/kyVK5s7kty7d09RHBzU+HfsMHc0/4mJURRbWzWu69fNHU32kpOTleHVq2v7NwWOGWPukMQzpkAkTU+bakCmHCj8wo8dU+JTqxemNmit1KypfsGXLGn4l3xQkKJUrPjfavQPH+Zu/7i4OKV7u3bK+nQdxCOGDlV71uZBcnKy8v/2zjs8iqqLw7/ZdFJJISFAAoTeQUgIUiUUpaMioHQpH6CIgghSAhaaCioIoiCI0rsgSA1FYkIJNbRAQoAQSEIaqVvO98dld7KkbZLdnd3kvs8zzyYzd+49d+qZc889Z8aMGdQToBT1kFzr1mzu+gsWLWJN+vkRyeVlas7s+PBD1vf//U9qSUrHlClMfn9/0zKUqNMvmvpQ7/3792n+i9kPCoDum7rAnHKFWTiCq1QqnRalqeQB4OidqL59YU2Eo9Z2OOO0D1euAJ6ewIkTgJ9f6eqsXp1ld/f2ZuEJ+vcH5HLd97e1tcWWffvwa48eWPpindO6dVC1asXmlZeClJQUDB86FNaLF+MAAGcAyg4dIBw7Bri5AQDS04GlLxqcOxcoJPpGueXECfbbpYu0cpSWmTOBSpWA8HDgr7+klkakc2f2a4rO4Hnx8fHBtKgo/OXhAQsADmPHIrGU9xuHY+qUSmlasGABNm7cqG9ZOGbCne+/h//Tp8gFsLPfZRw7Zg8bG2DvXqBOnbLV7eMDHDrEEqueOsVeaCXB1tYWe//6C25r12KokxPiAchu3gQFBLCQ1XFxOtUTGxuLdu3aoWvlypi6dSsW4MXNMmECLI4cYQK+YMUKFpuobl1g6NCSyWvuJCQAV6+yv9UveXPD0xP48EP295w5ppOTrlMn9hsSYlqz+wqikr09Ai9exBUbG7gSQd6nD5sey+GUN0pjnrKysqLp06fr2+olGXx4rgTk5NCjF4GXvvQZrXEA/vNP/Tazc6c4q27nztLVcezYMfKUyej3PMN1SisrUo0cyabuKRT59snOzqavv/iC+js40K48++U6OBD9/nu+8ikpRK6urJjEwcklYft21vcmTaSWpGwkJRE5ObG+bN4stTSM58+JLC2ZTPfuSS2NbuxbuZLiX9wz4XXrUvzjx1KLxCnnmIVPk5+fH40dO1bfsmixYsUK8vX1JRsbG/L396ewsLBCy65Zs4bat29PLi4u5OLiQl27di2y/MtwpUl3Qt99lwigK/Agd7ccAojGjzdMW598wl4YTk4ldwxXExYWRq1ataIAgE69FF0zt3JlulWnDp1q2ZIO+/vTucBACrG3Fx29AVIJAtG77zKP4QJQTw1v0KBAHazcM3Ei6/8HH0gtSdlZsID1pV490/FLCwxkMq1dK7UkupGbm0uD8gS+/K56dZKbysHklEvMQmn6/PPPqUaNGpRioLgcW7ZsIWtra1q3bh1dv36dxo4dSy4uLvSkkCA+Q4cOpZUrV1JERATduHGDRo4cSc7OzvTw4UOd2uNKk24kRkfTU4BUAPl7/qeJAF1GP+tCyc0lCghgL43u3UvvpKtQKGjlypUUEBBAr1pY0HqAkl9SoF5esh0cSDl2LJvWVwhPnojRznfsKGUnzRx1iIldu6SWpOykpRG5u5uWkjJrVsnjNeXksMkYZ88S/fsvUWSk4e7Rgnjw4AEd69+fWXYB2jFypPEa51Q4zEJpys7Opl69elGrVq1o//79hSozpcXf358m5Zm6qlQqydvbmxYuXKjT/gqFghwdHWnDhg06ledKk26EdOlCBNAPlu8RwKZEX7li2DZv3BCnhK9ZU/b64uPjaefOndS1QwcKBOjratXon1deoZPNm9O2unVpe+fOlPLPP+zNUwzqWWOtW5vWrCtjER/P+i8IbHirPPDNN6xPPj5Gz8pTICEhTB4PDyKlsvByDx8Sff01UadORC/yWWstgsACkH72WZHfAfpDpaKbnToRAZQO0H1TzIzMKReYhdIkk8lIJpNpwgoUtlhYWJS47pycHLKwsKDdu3drrR8+fLjO+e7S0tLI1taW/iok3Xp2djalpqZqlgcPHnClqRiyY2MpXRAoEa7kYpdGAFFwsHHa/vZb9uB3cCh54MuiyMjIKPW+MTFifrAjR/QnkzmxaRPrf4sWUkuiPzIziby9Wb9++EFqaZjurrZmRkTk337jBtGgQUQvUj9qFltbolq1WKBVR8f8SlSXLgaL/6pBlZND51xciAB6KJNR+N69hm2QUyExttJUqsnRHTp0gGCgrNaJiYlQKpXw9PTUWu/p6YmbN2/qVMeMGTPg7e2NoKCgArcvXLgQ8+fPL7OsFYm7o0ejERGGCsuRkuWIxo1LPrOttEyZAuzaBfz7L/DRR+xvfVCpUqVS7xscDOTmAq+9BhRymZV7/vmH/XbrJq0c+sTODpg9m+Wl++orYPRowN5eOnmsrdmsxAMHgMOHgRYt2PqMDHb/rVwpzvZr3x549112TdatC6gf0URs0mhICLB1K6vrxAlWfuBANvuzalX9yy5YW6PKyZO45++P2jk5eDJwIOJu3oR3WafYcjhSYhTVrAQ8evSIANDZs2e11k+fPp38/f2L3X/hwoVUuXJlunz5cqFluKWpZKju3aNcQaBj6KIx9YeGGleGq1eJLCzYV/Lffxu37Ze5fl38sv/vP2llkQqViqhqVXYMjh6VWhr9kpNDVLMm65uOHgEG5fvvmSxBQez/06eZBUltNerbl6iIx10+YmOJxo4V7ycXF6ItWwwjOxFRxpUr9OzFNMB/q1YlVUWcMcExGGYxPGdIyjI8t3TpUnJ2dqZz586VqE3u01Q0MT16kBwWVAtXCCCSKlOCejadnx+RlCkPBwxgcgwYIJ0MUnP5MjsGlSqZhu+PvtmwQZy5mZAgrSyRkUwWa2s2VK0OQ1CjRtlSv1y5QvTKK6LyNXWq4XIm3v39d8pWhyIIDKQ0/qzl6AmzU5oePnxI+/fvp02bNtH+/ft1nrFWFP7+/jR58mTN/0qlkqpVq1akI/jixYvJycmJQkthAuFKU+FkREZSLkArMJEAFpNIKqfftDTR38RY/lQv899/rH2ZjFmcKipLlrDj8MYbUktiGBQKoubNWR+nTJFWFpWK5XPM65M0ZAiRPh5XcjlzDlfXGxSkSaeod7YNHKhp6Ct7e7p27ZphGuJUKMxGabpz5w4FBQUV6ADerVs3unPnTqmF2rJlC9nY2ND69espMjKSxo0bRy4uLhQfH09ERMOGDaPPPvtMU37RokVkbW1NO3bsoMePH2uW9PR0ndrjSlPBqFQq+qdWLUqEKzkiiQCilSullWnrVvbctbNjueqMiUrFZicBRCNGGLdtU6NrV3Ycvv9eakkMx+HDpJklKmXS3OxsMZm1ILAZfvqerblrl+hw3qaNYaxrSqWSTr75pkZx+tTVlRLz5G/kcEqDWShNsbGx5OnpSYIgUMOGDWn8+PEUHBxMEyZMoEaNGpEgCOTl5UWxpY1ISEQ//vgj+fj4kLW1Nfn7+9N/eZxHOnXqRCPyvLV8fX0JQL5l3rx5OrXFlaaC+W/bNsoBaCJWEEDUtKn0Qf9UKqL27dlz19jhX/bsEWcm6XMWn7nx/Lk4c/DmTamlMSw9erB+DhokTftZWaIMAFOeDEVYGJGbG2unYUMWh8wQZHz0kSa57/wWLSjXUGOCnAqBWShNY8aMIUEQaNWqVaQq4JNn9erVJAgCvf/++2UW0BhwpalgTjRqRNfQiGRQEEB04oTUEjHUQ2SCUPA0bEOQk0NUty5rd+ZM47Rpqvz9t/gCL+/xqS5fJk2qIGM7/efmEvXpI/qOqRWnuDjDtRkZKQ4FNm9O9OyZARpRqSjxhWNgFkAft2pFzwzSEKciYBZKU/Xq1Yt1yu7bty9Vq1atVEIZG6405Sc7KoqyAeqPXSbp9Dx4MHuwd+1qnBe3egZTlSr68SUxZ6ZMYcfCwJmUTIaRI1l/27c3npKoVBK99x5r18aGfbC0bm2caOW3bhF5erK22rYl0tHLoWTI5fS4bVtN8MtxjRvzdCucUmHs97esNGEKnj59iiZNmhRZpkmTJkhISChN9RwTIGbiREQgAHswADIZ4auvpJZIm6+/ZjFsjh0DDh40bFvJyYA6rNeCBYCTk2HbM3XUx7tHD2nlMBZffMHiN505A+zbZ5w2p04F/vgDsLAAtm9nsZp692bb9u83bNv16gFHjgCursB//wFvvw0oFHpuxNISXsePIz0gAA4Avrl+HevGjgUR6bkhDke/lEpp8vDwQGRkZJFlIiMj4eHhUSqhONLyJCICPocPYxa+BgAMHy6gYUOJhXqJWrVY0EsAmD7dAA/1PHz1FfDsGdCoETBmjOHaMQdu3QJu3wasrMpXUMuiqF6dKTEA8OmnLKipIVm5EvjhB/b3hg1Anz7sb7XSdPgwkJ1tWBmaNgUOHQIqVWK/U6awwUG9YmcHx+PH8bhhQzgCeGf9egzx88OtW7f03BCHo0dKY54aPXo0yWQy+vXXXwvcvnbtWrKwsKAxY8aUxQpmNPjwnDbbq1Wjwwh6ERtGRTExUktUMMnJLAQCQLR+vWHaiIpis6dMIaimKbB0KTsW3bpJLYlxSU1lQ7MAm71mKA4fFoNOLlqkvU2lEkNuHDpkOBnysnu36NO1fLlh2lClp9OdFx17BtBrLi4UJeV0RY5ZYRY+Tffv3ycPDw+SyWTUpEkTmjRpEi1YsIAmTZpETZs2JZlMRlWqVCnT7DljwpUmkcuHDlEGQK0RbhIxaopDHS/I19cwQRbVM6S7dy//Ts+60LEjOx4//ii1JMZn3TrWd0dHoseP9V//zZtEzs6sjeHDC77exo4loweYVSvKgkB08KCBGklLo5w2bYgASgZoVL16lKND0mwOxyyUJiKi27dvU5cuXUgQhHzLa6+9Rrdu3dKnnAaFK00iR5s2pR0YSACRvb3KYNOO9UVGhpjOQ98vcnWcHgsLFj25opOYKKaPMVXroyFRKlkMI0OEu3j+nKh+fVZ3u3aFfwDs22f8mYsqFdGYMazdypWJ7t0zUEOpqZT94gA/B6gbQMOGDSOlUmmgBjnlAbNRmtTExsbSvn376I8//qB9+/aZjXUpL1xpYqRHRVEqLKgBIgkgmjNHaol046ef2APd05O9fPRBTo74EvvwQ/3Uae5s3MiOR7NmUksiHepwF/oOQTBqFKuzWrWi4yNlZLA4YYBxFfnsbFFhbNXKgGmMMjLoyYvcLtkADQBo1apVBmqMUx4wO6WpPMCVJkZEt260FqNepEtRUUqK1BLpRk4OUa1a+k2wunixGGIgOVk/dZo7b7/Njsnnn0stibSoQxC0acOsT2Vl0yZx+CskpPjyvXqx8l9/Xfa2S8L9+2LwS4O6q+bkkPxFHCcFQBMrVaK9e/eSgif65RSAWYQc4JQ/KCEBPkfPIBjBAICZMwU4O0srk65YW4shARYvBlJSylbfw4cstAAALFkCuLiUrb7yQG4um0UFiLO5KioLFwKOjsC5c2x2W1m4dw+YMIH9PXs20KlT8fuoj/+ePWVru6T4+ACbNwOCAKxdC6xbZ6CGrK1huX07VCNHwgLAysxMnO/XD28OHAiVSmWgRjkc3RCIdJtIOnr06JJXLghYu3ZtifczNmlpaXB2dkZqaiqcKmgQntjhw7FroyumYjm8q6oQdVcGOzuppdIdpRJo1gyIjAQ+/xz48svS1zVkCLBlC9CuHXD6NCDjnxY4cIBNeffyAh494sfk22+BadMADw8WhqFy5ZLXIZcDHToAYWHAq68CISGApWXx+8XHA97ebJDw/n2mzBiTr75iCp6dHXDhAgwXjkSlQtbUqbB7EX/hNwBP5s/HZ3PnGqhBjjli9Pe3riapghy+C1tkMpnm1xyo6MNzOfHx9FjmTO54SgDRzz9LLVHp2LWLXjiwE73I7Vxijh9ndchkxkvRYg6MGMGOy+TJUktiGuTksPxsZYmM/tlnbH8Xl5I71qtnMX73XenaLgtKJVFQkOjfZjD/JjWrV5PyRdyDowD9tXGjgRvkmBPGfn/rbGkKCwvTSQmLiopCcHAw7t69C0EQoFQqy6DSGYeKbmk69dprCDnRHvOwADVr5uL2bWtYWUktVckhAgIC2LDJlCnA8uUl2z87G2jRglkOJk0CVqwwhJTmR24u4OnJhj1PngQ6dpRaItPg9GnxWJw6xaxGunL0KNC9O7tmt28H3nqrZG2vWAF88AEQGAicPVuyffXB48dA8+ZAQgIweTLw44+GbY8OHEDugAGwkcsRCWD1G29gyOzZCAwMNGzDHJPHZC1NxZGQkECTJ08mGxsbEgSBOnToQGfPntVX9QalIluachMSKAru5IhUAoi2bJFaorJx5Ai9CMpZ8q/32bPZvlWrcufvvBw4wI6LlxcR98XV5v332bFp2FD3OGFPn7JjCRCNG1e6dh89EoNOPnhQujrKysGD4kzCPXsM315uWBg9fRFpNgmgNywt6fTp04ZvmGPSmN3suYyMDJo/fz45OTmRIAjUpEkT2rdvnz5kMxoVWWm69Pbb9DG+eZHVXKmX2UBSolIRdenCHuSjRum+35UrRJaWbL+dOw0nnzmiHpozZkBFc+HZMzFS+BdfFF9epSJ64w1WvlEjFkKgtLRvb9hI3brwySf0YratcZS3rKgoelavnmZm3XwHB3ooldbIMQnMRmlSKBS0cuVK8vLyIkEQqEaNGrRu3TqzDERWUZWm9Lg4uirUIBtklas0IaGhol/S9evFl1coiPz92T4DBhhePnMiJ4f53AC6TYeviKhDBtjYEBUX03f5crFsWeMsqetq375s9ZSFnByiF2GVqGNHI1kis7Iod/hwjZlrt60tzZg8mZ7rK0gbx6wwC6Vp27ZtVK9ePZLJZFS5cmVavHgxZRncG9BwVFSl6VjPnvQ+1hBA9Go7eblKE9K/P3umDhxYfFn1y8fJiQ17cETUQ3OennxorjBUKqIePUTFobDvxosX2bAxQLRyZdnbffBAHB67f7/s9ZWWO3eIHBx0t7bpBZWKngYHU+6LA3AZoKmvv06q8vQQ4+iESStNJ06cIH9/f5LJZGRra0vTp0+n5HLg/FERlaaMp0/prNCQZFAQQHTmjNQS6Zdr18SUH2FhhZeLjmaz7cx51qAhGTyYz5rThXv3xOto2bL829PTiV6MKlH//vpLgdK5szSBLl9mwwYx5ZAxXVmzDh+mzBcJ+54DtKZ9e7qui3mZU24wWaWpZ8+eJJPJyNLSkkaNGkUPytE4ckVUmvZ06EBvYRsBRL3ekEstjkFQ++J07VrwdoVCnLpdlIWgopKSIqbsOHdOamlMn1Wr2LGytWXJd/OiTpNSvTpRUpL+2ly7VnREl9LIolIRDR3KZKlZk4ybTeDxY4pVa6QAbZDJ6BB3TKwwmGzIAZlMBkEQULNmTdSvX1+nmXmCIODAgQMlntFnbCpayIGb4eF4GDAR3XAeAlS4fEWGpk2llkr/xMQA9euzKfNHjgBBQdrb1QEKHRyAy5eB2rUlEdNkWbsWeP99Frzw+nUWCZpTOERAjx7sWmvbloUksLRkUbSHDmUBQY8f1y3qt66kpbFwENnZLNRG69b6q7ukpKYCLVsC0dEsQOyffxrxmlEqcWv4cNTZtAkWAG4ASFi5Eh0nTjSSABypMNmQAyUJbpk3yKU5UNEsTYc7dKBu+IcAomHvlm/zyocfsg/Q1q21v8SvXhX9S375RTr5TJkOHdjxWbRIaknMh9hY5hunzoN49y6RoyP7f+5cw7Q5ZIjpJJYODWVDdADR+vXGb19+5AglvTCPZgL0T+/elJ2ZaXxBOEbDZC1N9+/fL5VS5uvrW6r9jElFsjSpEhOx32Mw+uEoLGUK3I6yRK1aUktlOJ4+ZRakjAxgxw7gzTeZ5cnfn1mXevcG9u3jVpSXuXcP8PNjxyU2FqheXWqJzIf164FRowArK2bpvHYNaN8eOHFCtzQpJeXgQeCNN1hKl0ePIHlgWnWaFXt74NIloE4d47Yvf/QI11q3Rsv4eADAf87OqHPyJNybNzeuIByjYLKWpvJMRbI0RQ8ZSm0QRgDRhPG5UotjFObMYV++9esTyeVi+go3N6LHj6WWzjQJDmbHqFs3qSUxP1Qqoj59xJltLi6Gnd0ml7PZjcYKMlkcCoXooN66NQtLYGxUSiWFDx9OmS9OQrJMRpELFvDZdeUQY7+/K3jazYqFIi4OoVtycA7+sLbIQvB8M8yVUgo++QRwc2PpUT79FFi8mK1fs4YloOVoo1SKGexHjJBWFnNEEIDhw8X/W7UybFJdS0vxPK1ebbh2dMXCAti4kSUxPn8emDPH+DIIMhnabNiA+L//xhVra7ioVGg4dy6OVa+O1NhY4wvEKTdwpakCETrgHcylhQCA8f/LgaenxAIZCWdnYOZM9vf337NPzwkTgIEDpZXLVPn7bzYk5+bGhjM5JSMhgeWFU3P8OLBpk2HbHDeO/f7zDxtalZrq1dlEAgBYsoTl2pOCWq+/jkoREdhcuzaUAILi4pBRpw6Stm+XRiCO2cOVpgrCg9OnERreGlGoi8r26fjqaxepRTIq48cDNjaASsWsS8uWSS2R6bJqFfsdNQqwtZVWFnNDpWJWn/h4oHFjUVmfMAGIijJcu35+bOYeEbOgmgIDBrD7DmCWt4QEaeSo06gRhty9i6h16xBjYQFvuRxugwbhVteuUKWmSiMUx2zR2RG8PFMRHMEP1miBoQ9PIAWV8csawvtjK5bn89y5wBdfsL9tbYG7dwFvb2llMkWio9kLmAi4c8f4TrzmztKlbAjY1hYID2fhGl57jYUfaNEC+PdfoFIlw7S9Zw9TVNzdgYcP2UeC1GRmAm3aAJGRQJ8+wN69xU+6yMlhkzQiI9l9eu8e609KClsyMlgdMhnro5sb67OXF1C3LlCvHtCgAVNaX3aKj75yBafatcOIjAwAQLKzMyrv3Al07WqQ/nMMD3cEl4Dy7gh+5ddfaTJ+IICons+zCpcOY/9+MSN83brsd8QIqaUyTWbMYMene3epJTE/QkPFpM9r1ojrY2OJ3N3Z+nffNVwQSrmcqFo11s6ffxqmjdJw+TLLtQcQrViRf3tqKnNgnzSJ5bGzshKd6Muy2NqyvHzTphEdOkSkzvT15MkT+nXoULqXp3DSoEFMEI7ZYbIhB8oz5dnSRCoV9jr5462M/6CEJY4erVgfVTdvAgEBLAjghAlsyCkggG2TOhigqfH8OXNYTk4Gdu8G+veXWiLzITmZBXa8fx945x0W0DKvRSUkhAVXVSqB774Dpk41jBzz5wPBwcy6ExZmOqE0fvgBmDKFWYbOnQNcXYFt29h1FhoKKBTa5d3dgebNmaWzdm3A15ft4+LCQhmotZ2sLCApCUhMZNaoO3fYhI/r15lVKi92dkCXLszi9fbbwLfzP4T3jz9i8ovtzxwc4LJ9O2Q9exrhiHD0Bbc0SUB5tjRdDg6mXviLTR/v8ExqcYxKcrKY76tDB3Hq87BhbN2rr0qbesLU+P57dlzq1OHJeUuCSkU0YAA7dn5+hRss1MfXwoLo2DHDyPLkiZj65sQJw7RRGlQqZr0EiCpVEi2/6qVOHWZp2raN5YMs632pVLJUNuvXE40ZI1rg1IulJVGvXioaN+44fdymI0Xl2Zj13ntGzgPDKQsmm3uuPFNelaaslBT61XIAe1AL8nz5sMozCgVRz57sOVijBnuZqHnwgD24AaLNm6WT0ZSQy1nOMIDop5+klsa8+PFHdtysrIjOny+8nEpFNHy4GCMsKsow8kyYwNp44w3D1F9SLl4kGjdOvOfUy6uvEv3wA4uabmhUKjZM+PXXRC1aaMtRuTJR9y7n6XP4iYqTmxvR3r2GF4xTZrjSJAHlVWna3qYz+SKaAKLJ4yqOlUmlIpo8mT3/7OzYQ/tlFixg2728+EclEdGWLex4uLsT8awTuhMaKvrgLF9efPnMTBbwUe1fl5Cgf5nu3BEtOVeu6L9+XVAomNUoIEBbQfHxEf/+/XdpZCMiun6d6PPPiXx9teXzsjlOa9GdVC9WZPTqRRQXJ52gnGLhSpMElEelKXzbNpqGr9mDwOkZPX8utUTGY/Fi8SG4bVvBZbKzxaG7SZOMK5+poVKJX9/BwVJLYz48fkzk7c2O28CBug8pxcWJL+vAQMMoqW+9xeofNkz/dRdFdjZzgq9TR7wHrayI3nmHKCSEHaN580RH7YI+aIyJQsEmirz+uvaQoTfO02a8RQrIKNPGhnJXrmRjfhyTgytNElAelabN7h3JErkstcLuiuO4s3Gj+OBbtqzosseOsXKCQBQWZhTxTJKdO9lxcHAgSkyUWhrzIDdXTGjcsCFRWlrJ9r9+naVXUStc+vYhCw8X/adu39Zv3QXx/DnR0qVEVatqD3vNnUsUH69dVqkk6tWLlalZ03SuuagooilTtIcRa+A2/YIxlAtLUnboQBXKx8FM4EqTBJQ3penh6jXUESEEEHX1jy9+h3LCP/+IU74/+US3fd57j5Vv0YL59VQ0lEqiJk3YMZg9W2ppzIcPPmDHzMmp9O/RkBAia2tWz/jx+p+UoFZMhg7Vb715yc5mDu7q3HcAUfXq7IMlPb3w/ZKTmdM8wPIbmtLEg8REZg1zdRX7VAtR9DveoyyZFSVMnSpNQj1OgXClSQLKk9KkTE6mhZZTCCCyETIoOlpqiYzD8ePirKHBg3W3pD95wr6IAaIlSwwroymi9mVydiZ6VnHc3srE+vXiy7SsvsJbt4rDQh99pF/FKSJCtKRevaq/eomYpe2XX9gkC/WxqF2baN063fWJq1dFq86nn+pXPn2Qnk703XdELi5Zmj42xHXajjcprWZtov/+k1pEDnGlSRLKk9K0p+kAqoTnBBDNmhYttThG4dQp8eHbq1fJPwLXrmX7WlsTXbtmGBlNkZwc0a9rwQKppTEPQkJEx+85c/RT57p1ouIxa5Z+6lTz9tus3n799FOfQkH0xx/aPkvVqhGtXs0UqZKiVtoBpoSZIs+fE3344SOqVElUnlrgIu1FL7rdvQczm3EkgytNElBelKabK36i9jhFAFEzn6gK4bf477/MFwcg6tFDjPpbElQqcSijVavSPfzNke++Y32uUoUHQ9aFmzdFq+Rbb+nXL3jlSlF5mDtXfxanGzeIZDJW7/Hjpa9HpSI6cICoaVNRTg8PNgxXmnsuL2rHcAsLNsRuqqSkEH3+eQ5ZyNLFsAk4TYdsgkj522886JtEcKVJAsqD0pSbmEjBsk/YNHshne7dK/838OHDRPb27OHVtWvZZiHFxYk+DPPm6U1Ek+XpUzYkBxD9+qvU0pg+T5+y4SeATaM3xIy3b78VFZKPPtKfUjZpEquzSZPS+e2FhxN17izK5uJC9NVXRfsslQSVSvQtdHSULkyCrjx8mEUDBtwmK1m25pi8jgN0sOrrpLx0SWrxKhxcaZIAs1eaVCraVncwWYPdxEu/eCq1RAZn+3ZxmKRbN6KMjLLXqR4qsLBgFqzyzLhxrK8tW5qWE64pkp5O1LbtC4fgWtqBUvXNihWicjJqlH4mJyQliR8EBeV+K4w7d8ThPYDlj5s2jdWnb7KziTp2fDFjrQYLQGvqPHpE1LnjNZK9mKUMEL2DTXT9vWBuujUiXGmSAHNXmm7OXkq1EcXivtS/Xu6txGvWiEMOb7/NHrj6YsgQcQaQIQIPmgKnT4svwpMnpZbGtMnKYlZM9RT6yEjDt/n770xxB4j69ye9xFhbtUq0EhUXq/HJE2adUs9EFQSW4Pr+/bLLURRJSUT167M269XLH6rAVLl6NYvaNruquacskUsjLdbQ9a/X8yE7I8CVJgkwZ6Up5uAhGoitBBC5WT6gpKTye5MqFOxLV/1wGjdO/1aStDTRObpnz/IXzy4zU+zf6NFSS2Pa5OYS9e0rxrAyZiyv3bvFcAStWhE9fFi2+hQKMRJ5nz4Fv8vT04nmzxd9BAEW9PHy5bK1XRLu3xejhjdrZhirlqH4/fcr5G11WHPsbJFJ/3NeTXEHQqUWrVzDlSYJMFelKTkmhmbIprEhJeTSvr1m8mlWClJTWS4t9QNp3jzDfcRduSKGL5g/3zBtSMWnn7J+Va3KJ/0URW4uC12hHpaSIvntmTMsrQ3AIo9fuFC2+q5eFRWxP/4Q1+fmsnyDeWMttW5dNsfxsnD7NktvBBD5+5vXSFdOTg798E0Y+VmFaY6lM5JpVt3f6PlNMxhzNEO40iQBZqk0KRT0o8dIEqBkU8anl98b8sYNokaNxNQLW7YYvs2808C3bjV8e8bg+HExJhDPRVo42dlEAwa8GGqxJPrrL+lkuXtXvPbt7Nh1WRa++kocarx3jyWsVlse1bGWtmyR3sJ69SpLagwQtWljOlHDdSUrK5umDttCvsJlzbH1xGNa2H4LZSWY0XvGDOBKkwSYm9KkUqloY6vh5IA0AogGdCi/fkzr14sxmLy9ic6dM17bU6aIipq5x7GLjxe/3vmwXOFkZLBhWbWFSUqFSU1KChsmU798R4wovZ+TXM6UELUSljd8wI8/mlag64sXRcWpcWPzzJv79Gki9W++mLxf+JwCRD64S3Pa/0zyDD06Y1ZguNIkAeakNKlUKlrZ+k2qjlgCiBq5XymXcYVSU4mGDxcf6l27sgSpxkShEOM3VanCZhOZI3I5UVCQ+PLRx0zD8khiIlH79uw4VapEdOSI1BKJKJVEX34pToBo1KjkyW7VsZbUaXMANly3YIHpDoFdvy4mRa5dm+WHM0e2b9tDQe5zyANxmmPfQHaNfh26hZS5FTB/kx7hSpMEmJPStGf4p1QHtwkg8nWINTuztS4cOiSmZ5DJ2MtCqmnxaWlEzZu/+EL0IYqJkUaO0qJSEU2cKFoWrl+XWiLT5PZtMcq1kxObYWiKnDghWgwtLYmCg4sPxqpSEf39N1FgoKgs5bUyrVljFNFLzb17LNQDwEInhIRILVHpib+fSKPq/0bOeKY5/i2Fs7Rm6M+krIjJL/UAV5okwFyUpnPzVlITsDFyL5s4ehBbvsbknj1jsWny+lecOiW1VGxoS+33Ubt22WcyGZNly8Rp47t2SS2NaXLsmBjHyNfX9FPpPHlC9Oab4n3SogULQPkycjnzWVIr/Wplafp0Fk4jbyTuv/82di9KRlycOKxoaWn+AVn/3n6Uern/QnbI0JybtjhK01t9Rhkppv0eMjW40iQB5qA0re8zkerhJnPilMXTzcjyMyYnl7M4Mmr/BUFg/kT6iE+jLx4+FCNC165tHkN1v/0mOn4vXSq1NKaHUkn0xRfikJe/v/nEBlKpmEKkVvYEgWjMGBa5PCuL5YLz8xOVJXt7oo8/1h7iVqnEIXB7ezZbz5TJzCR65x2xT2PHmv9Qc2T4A+rtuZMs8wTIbIRLNMFvHv320xpS8MizxcKVJgkwaaVJpaIdfT8jH8Qwh02Lh/TvKTN5suvAsWMsHovmgdHIdB/e0dGi4uThYVyn9JKyfr2oMH3wAY+x9zKPH4sO3wCzcBoiNYqhiY8nGjZMO2q3OrUQwD5EFiwoPN5RTo7o72ZvbxqW3aJQqVgYEPW13bix6VsGdeH2+UR6r8FBqgQxr1013KdBzgto6/Lf6YE5hEiXCK40SYCpKk0xd+7Q/CqjyRGpBBDVsImmmHvl48sjJEQ7n1Xlymz2jqkP68fHs9Qj6pfMtm1SS6SNSsVymKlfKhMncoUpLyoV0Z9/ihYafUzjlxKVioWS6NRJvJfUQ25vv82GvIsjI0OMel6pkmnMGCyOo0dF3y5bW2ZJNfVnhy5cCY+ikY3+oCpCvOZc2iKTOuE3Gtvqf3Qu3IS/1CSCK00SYIpK04W9B+h92XxNHKZ6lc5R3CPzHpJTKokOHiTq0kV79s7kyeYVhyU1Vfw6B4imTi3eGdcY5OaKyVkBog8/5ApTXu7dI+rXTzw+LVuafnLYwrh/n02QUDuva2ZkNRCHudWTF5YtK352XGYmUY8e4uSLZctM/9p58kTbWtiyJdH581JLpR+y0uX07eCj1NDyitb5bYgL1M/xU/pu5jeUUF7zPJUQrjRJgKkpTXsnLKXWOKu5UQYHXqbsbBN/ghVBejpLFKrOKwWwZLv/+x9RbKzU0pUOuVyMrg0wJ1Uphwnu3mU+OWr/lu++M/2XnrFITyeaNYsNXamvvQULTEPRLQlpaSySd1CQaElUWzwnTBCvv+xsZrWtWlUs4+jIfJqKmrKfm0v0/vviPoMG6WapkhKVimjtWmapVit8Y8aY12SNolCpiEI33qFBPifIBlni8xM51Ba7qZPlYGperxmdMVWfBiPAlSYJMAWlSaFQ0Oxh79Nw4TOyfzGu7YAU+uWrGLN8+SmVbHr0qFHsga2+2Z2cmJO3oZN/Govdu4mcnbVfxllZxmtfqST65Rd2XAGWkJVH+2akp7Nhm7zpQbp2NS8fmKQk5tDfu7eo9KmXzp2Z71p6esH7ZmYS/fwzsz7l3a9jR1ZnQfuph3fVyXpr1CD65x9D9lA/xMeLybbVw66ffcYc48sLSdGptKj3MWpifU3rfDojmTpgA/V0HEmDew+mw4cPk1LqkO5GhCtNEiC10hR/4xZ96vMh1cEtzY3QxP4c3Y40r6khCgWLbzN9uph0U73Urcu+ftPSpJZS/zx8yF5q6r76+jKLgKGfW+fPa8feadfO/OJIGYK4OKa85h2m8vMj2rPH9K1vKhUbMvzmG2ZRUisv6qVePRab6d493etUKllQyx498luo3n6bzcJ7+dEXHq499DdwIJsIYer8+y/Rq6+KctvaMou2uQbFLIyr++7Rx62PUA2Lh1rXhw2yqDX20xv2H9Ongz6ln1evpoflxexWCFxpkgAplCaFQkFPLkfSvMbB1BiXNBe9h8VTWjMvyuQf7moeP2a5qkaM0H5JAcwCM3Ysm5FT3j981A7G6ujF6pk969ax4RJ9cuGCtm+OgwMbjisPjrClRS4nOnyY6K23tBWNOnXYOTDVoTiVir3QN2xg91DeITX10qwZmzF29WrZlb7YWJZ/7mVfKGtr5h/03XdEly+z+zUtjVmFLSxES+rYsSVT2KRApWIKcuvWYv8EgSmhf/xhnrMkC0MpV9KpVdfogxbHqLZldL5rxwdR1B5rqKfLBHq91eu0fv16SkxMJJW5vGB0wNjvb4GICBWctLQ0ODs7IzU1FU5OTgZtKycjAz+N/AJndjrhLI1CPKoCAOyRhnfaXcSyvzvByVkwqAylRaUCoqKA8+eBU6eAkBDg1i3tMpUrA716Af36Ab17A7a2kogqGZmZwPLlwKJFQHo6W+flBYwcCbz3HtC4cenr3bED+Pln4OxZtk4mA4YOBRYuBKpX14f05kV2NnD6NDsuu3cDCQnitnbtgEmTgEGDAEtL6WR8mZQU4MoVICyMncezZ4GnT7XL2NkBnTsDPXoAb7wB1K2rfzmI2H28ezewa1f++9jDA+jSBQgMBFxdgd9+Y/c7AFhYsHt87FigZ0/TOr55IQJOngSWLAEOHhTXOzmxZ1Pfvkx+Z2fpZNQnpCLc2H8Xu76Pwb5QV1zMagYltE9ODdxDdYTDzuICPBtnoMWAmpA5yNCvXz/UNcSFZgSM+f4GAJNVmlauXImlS5ciPj4ezZs3x48//gh/f/9Cy2/fvh1z5sxBTEwM6tati8WLF+ONN97QqS1DH/TQQ0exd8FfiL5UDdeyeiASzTXbXPEEfVufx7cHe8LV3ULvbZcGIiApCbh9mz1ML18GLl4EIiKA58+1ywoC0KwZ8Npr7CH06quAlZU0cpsSKSnAL78A338PPHokrm/enD2we/YE2rYt+oXz5Alw9Ch7qR06xBQngL20Bg8GZs8GGjQwaDdMiqwsdi2GhADHjgFnzjDFSY2rKzsu48eza1JKUlOBu3eBO3eAq1eZonT5MhAbm7+stTXQujXQvj1TlF59FbCxMa68N24ABw6w43rqlHitqbGwAGrVYucg7/Xs4cGu5379mJJlhHdWqYiOBn7/HVi/HoiJEddbWjIFu0MHtgQGmm4fSkp6fAZOr7mBf3YlI+RGNVzJbZSvjAxK+OIOquA63B3uo5pfNhp2cEWjbrXhUcMDzZs3h0wmk0B63eFKE4CtW7di+PDhWL16NQICArB8+XJs374dt27dQpUqVfKVP3v2LDp27IiFCxeid+/e2LRpExYvXoyLFy+iSZMmxbanr4MeExODpAdxSAxPxIF14Yi/74yHGc1xFYF4DkdNOQsoEFA5ApOnuWDgJ3VgY2Ncy5JKxb7KHz5ky6NH7PfBA/aQv30bSE4ueF87O/ZCatcO6NSJPWhcXY0qvlkhlwP79gEbNwJ//83+V+PoCLRpA/j7MwuUlRVTVi9eZBaU27e166pZE3j/fWD0aKBqVaN2w6jk5gL37rFrUa10XLgAREYCSqV2WS8voE8f4O23mXXGGAq7QsGsQ3FxbHn0iP3GxDBLbFQUkJhY+P4+PkCrVkw5ateO/W1KFtncXGYJO3kSOHcOCA8H4uOL308Q2HXZrBm7plu3ZkqIu7vhZdYVlQoIDQX++ovdlzduaG+XyZhlr1kztjRtCvj5sXvPwUESkfVG6sN0nN96F2cPPkPoJWtcSKqLp/AstLwnHsETMXC3eQRXpyS4eWTA2VOFhgG+IJds1G3rh9YBrWEr8cXLlSYAAQEBaNOmDVasWAEAUKlUqFGjBj744AN89tln+cq/8847yMjIwP79+zXr2rZtixYtWmD16tXFtlfcQU97lozc5CzkJiiQHJuOR1HPEHkhGllplrh/NwtPkuyRmOmKpwpvPEBtZKFSvjqckYI2HpHo1R94b0EbuHuV7OmuVLIXrlwO5OQAGRnay/Pn2v+npwPPnrElKUl7efYs/8unIHx8gHr12Av9lVfYw71+fdM1x5saubnM4pSczH5jY4ETJ4D//mMP67xWksLw9GTHPSiIWaZcXNiXsKMje4hbmIZxslBUKnZtpqVpL6mp7JjExwOPH4u/cXFMgVepCq6vShV2HLp2ZcekYUP2stZVlqwsdn9kZorLy/+nprJzlpzM7pW8v0lJTGEqTL68eHqyF27jxszCqH4Ju7joevRMAyKmGIaHMwU2MpJdvzdvan8EFIYgMMuZgwMbvndzY7+uruxvDw92rDw92fpKlZgSaWvL9lP/bWur/2dPVBSzXJ4+zZbo6MLLursza1uNGkxm9VKlCtumvifVvw4OzIpoqhABj68k4PqhBzh3/CkuX1HiTpIXouR1kY7ilQ8ZlHBDAlwRDwchGXYW6XCwzoCV5XPY2WXD0Zlg56CEk4sMzh72EKwUgJUcfo1qoU7jWohLjoO1kyXqNPHDrTu3IJPJ0LhxY3h5eUGpVEKhUMDa2hpCMTd4hVeacnNzUalSJezYsQP9+/fXrB8xYgRSUlKwd+/efPv4+Pjg448/xkcffaRZN2/ePOzZsweXL1/OVz4nJwc5OTma/9PS0lCjRg0AyQAKG+AuiTWINL8CAAhCvhNf1FE35hkRhMKXsiLVlaXvdnU5V3l/jd1v9bkq7LeofcpCQX0v6Le0WFiwl6SFBbMgWVoyS4C6bpUq/29B6/L+6gtBYC9xOzv2klf/OjqKL00rK/0cZ1NFrRCnpzPFU/2B8Pw5+2DQRbEsLS8/o3S5Bwr7Oy95rxV9Xzcvt2no+7O0UJ4bmADN64z95BVMn0LqepALKpcGoLLRlCaTsxkkJiZCqVTC01PbbOjp6YmbN28WuE98fHyB5eMLsSkvXLgQ8+fPL2CLDPq5EATNr/qiMy3VVESKlzxHv+hLSTE1lErdLKJSQMSsVllZzArFMS7m+Nx6WV7TlV946deYbZamnHF9rkxOaTIGM2fOxMcff6z5X21pspalQKXKBUCwsraCTCaAQLCzs4VgIUChkEMmk0Emk8HW1hqArMivl6K+hPKuFwTxC1omy2/xKWxdYRT3laLLF05p6ijtl1Nh23RtQ9f9S9KOLvVYWGgvMpn4t6UlW6ytdbPc6bJdXYaIKRO5uWxRKkUri1rRyPt/3hdMQQpWYduJipZL3Wd1v1/+W/2rPhYl6Wtx5G3r5faK+rW21rZYGRLTfSmaHgoFG65WKNiQn0Ih/p2by1wS5HLRTUGhEK/zl6/3ly1FgLbFUU1RSkxhHyLFrVf/rW4r7/1X1FJcnbr8r28MVz9prFlEAClVzLAAQKlQggiQCQJAgPLFiRMtXgJIpYKKCIIgQIAApfI5MhWGkjU/Jqc0ubu7w8LCAk+ePNFa/+TJE3h5eRW4j5eXV4nK29jYwKaA6SkJyS6wt7eHIAiFzBgw8pQWDofD4XDKFQK0LUZ537UlV0nS0uRGDRthcnMJra2t8corr+DYsWOadSqVCseOHUNgYGCB+wQGBmqVB4AjR44UWr4oLCwsTH6KJYfD4XA4HONjcpYmAPj4448xYsQItG7dGv7+/li+fDkyMjIwatQoAMDw4cNRrVo1LFy4EAAwZcoUdOrUCd9++y169eqFLVu24Pz581izZo2U3eBwOBwOh1OOMEml6Z133kFCQgLmzp2L+Ph4tGjRAocOHdI4e8fGxmpZg9q1a4dNmzZh9uzZmDVrFurWrYs9e/boFKOJw+FwOBwORxdMLuSAFBg7zgOHw+FwOJyyY+z3N3fe4XA4HA6Hw9EBrjRxOBwOh8Ph6ABXmjgcDofD4XB0gCtNHA6Hw+FwODrAlSYOh8PhcDgcHeBKE4fD4XA4HI4OcKWJw+FwOBwORwe40sThcDgcDoejA1xp4nA4HA6Hw9EBrjRxOBwOh8Ph6IBJ5p4zNupMMmlpaRJLwuFwOBwOR1fU721jZYTjShOA9PR0AECNGjUkloTD4XA4HE5JSUpKgrOzs8Hb4Ql7AahUKsTFxcHR0RGCIEgtjoa0tDTUqFEDDx48KLeJhCtCH4GK0U/ex/JBRegjUDH6WRH6mJqaCh8fHyQnJ8PFxcXg7XFLEwCZTIbq1atLLUahODk5ldsLXk1F6CNQMfrJ+1g+qAh9BCpGPytCH2Uy47hoc0dwDofD4XA4HB3gShOHw+FwOByODnClyYSxsbHBvHnzYGNjI7UoBqMi9BGoGP3kfSwfVIQ+AhWjn7yP+oc7gnM4HA6Hw+HoALc0cTgcDofD4egAV5o4HA6Hw+FwdIArTRwOh8PhcDg6wJUmDofD4XA4HB3gSpMEpKen46OPPoKvry/s7OzQrl07nDt3TrOdiDB37lxUrVoVdnZ2CAoKwp07d7TqePbsGd599104OTnBxcUFY8aMwfPnz43dlUIpro8jR46EIAhaS8+ePbXqMLU+njp1Cn369IG3tzcEQcCePXu0tuvrvF25cgUdOnSAra0tatSogSVLlhi6axr00ceaNWvmO7eLFi3SKmPKfdy1axe6d+8ONzc3CIKAS5cu5asjOzsbkyZNgpubGxwcHPDmm2/iyZMnWmViY2PRq1cvVKpUCVWqVMH06dOhUCgM2DMRffSxc+fO+c7jhAkTtMpI2Ueg6H7K5XLMmDEDTZs2hb29Pby9vTF8+HDExcVp1WHO96SufTT3ezI4OBgNGjSAvb09KleujKCgIISFhWmVMdZ55EqTBLz//vs4cuQINm7ciKtXr6J79+4ICgrCo0ePAABLlizBDz/8gNWrVyMsLAz29vbo0aMHsrOzNXW8++67uH79Oo4cOYL9+/fj1KlTGDdunFRdykdxfQSAnj174vHjx5pl8+bNWnWYWh8zMjLQvHlzrFy5ssDt+jhvaWlp6N69O3x9fXHhwgUsXboUwcHBWLNmjcH7B+injwCwYMECrXP7wQcfaLaZeh8zMjLQvn17LF68uNA6pk6dir/++gvbt2/HyZMnERcXh4EDB2q2K5VK9OrVC7m5uTh79iw2bNiA9evXY+7cuXrvT0Hoo48AMHbsWK3zmPclI3UfgaL7mZmZiYsXL2LOnDm4ePEidu3ahVu3bqFv375a5cz5ntS1j4B535P16tXDihUrcPXqVZw5cwY1a9ZE9+7dkZCQoCljtPNIHKOSmZlJFhYWtH//fq31rVq1os8//5xUKhV5eXnR0qVLNdtSUlLIxsaGNm/eTEREkZGRBIDOnTunKXPw4EESBIEePXpknI4UQXF9JCIaMWIE9evXr9A6TL2PAGj37t2a//V13n766SeqXLky5eTkaMrMmDGD6tevb+Ae5ac0fSQi8vX1pWXLlhVaryn3MS/R0dEEgCIiIrTWp6SkkJWVFW3fvl2z7saNGwSAQkNDiYjo77//JplMRvHx8Zoyq1atIicnJ61+G4PS9JGIqFOnTjRlypRC6zWlPhIV3U814eHhBIDu379PROZ/TxbEy30kKj/3pJrU1FQCQEePHiUi455HbmkyMgqFAkqlEra2tlrr7ezscObMGURHRyM+Ph5BQUGabc7OzggICEBoaCgAIDQ0FC4uLmjdurWmTFBQEGQyWT6TpRQU10c1ISEhqFKlCurXr4///e9/SEpK0mwz9T6+jL7OW2hoKDp27Ahra2tNmR49euDWrVtITk42Um8KRpc+qlm0aBHc3NzQsmVLLF26VGvIxpT7qAsXLlyAXC7XOg4NGjSAj4+P1rlu2rQpPD09NWV69OiBtLQ0XL9+3egyl5Y///wT7u7uaNKkCWbOnInMzEzNNnPsY2pqKgRB0CR2Nfd7siBe7qOa8nJP5ubmYs2aNXB2dkbz5s0BGPc88oS9RsbR0RGBgYH44osv0LBhQ3h6emLz5s0IDQ1FnTp1EB8fDwBaDyL1/+pt8fHxqFKlitZ2S0tLuLq6aspISXF9BNjQ3MCBA1GrVi3cvXsXs2bNwuuvv47Q0FBYWFiYfB9fRl/nLT4+HrVq1cpXh3pb5cqVDSK/LujSRwD48MMP0apVK7i6uuLs2bOYOXMmHj9+jO+++05Tj6n2URfi4+NhbW2d76X08rku6Dipt5kDQ4cOha+vL7y9vXHlyhXMmDEDt27dwq5duwCYXx+zs7MxY8YMDBkyRJO81tzvyZcpqI9A+bgn9+/fj8GDByMzMxNVq1bFkSNH4O7uDsC455ErTRKwceNGjB49GtWqVYOFhQVatWqFIUOG4MKFC1KLpjeK6+PgwYM1ZZs2bYpmzZrBz88PISEh6Nq1q1Ric/TAxx9/rPm7WbNmsLa2xvjx47Fw4cJync6hvJHXH6Rp06aoWrUqunbtirt378LPz09CyUqOXC7HoEGDQERYtWqV1OIYhKL6WB7uyS5duuDSpUtITEzEL7/8gkGDBiEsLCyfsmRo+PCcBPj5+eHkyZN4/vw5Hjx4gPDwcMjlctSuXRteXl4AkG8mzpMnTzTbvLy88PTpU63tCoUCz54905SRmqL6WBC1a9eGu7s7oqKiAJhHH/Oir/Pm5eVVYB1525AKXfpYEAEBAVAoFIiJidHUY6p91AUvLy/k5uYiJSVFa/3L59qc+1gQAQEBAKB1j5pDH9XKxP3793HkyBEtC4y535NqiupjQZjjPWlvb486deqgbdu2WLt2LSwtLbF27VoAxj2PXGmSEHt7e1StWhXJycn4559/0K9fP9SqVQteXl44duyYplxaWhrCwsIQGBgIAAgMDERKSoqWZer48eNQqVSaB5upUFAfC+Lhw4dISkpC1apVAZhXHwHo7bwFBgbi1KlTkMvlmjJHjhxB/fr1JTeR69LHgrh06RJkMpnmi9CU+6gLr7zyCqysrLSOw61btxAbG6t1rq9evar1IFe/zBo1amR0mfWBOixB3nvU1PuoVibu3LmDo0ePws3NTWu7ud+TQPF9LIjycE+qVCrk5OQAMPJ5LJHbOEcvHDp0iA4ePEj37t2jw4cPU/PmzSkgIIByc3OJiGjRokXk4uJCe/fupStXrlC/fv2oVq1alJWVpamjZ8+e1LJlSwoLC6MzZ85Q3bp1aciQIVJ1KR9F9TE9PZ2mTZtGoaGhFB0dTUePHqVWrVpR3bp1KTs7W1OHqfUxPT2dIiIiKCIiggDQd999RxEREZpZKvo4bykpKeTp6UnDhg2ja9eu0ZYtW6hSpUr0888/m0Ufz549S8uWLaNLly7R3bt36Y8//iAPDw8aPny42fQxKSmJIiIi6MCBAwSAtmzZQhEREfT48WNNHRMmTCAfHx86fvw4nT9/ngIDAykwMFCzXaFQUJMmTah79+506dIlOnToEHl4eNDMmTPNoo9RUVG0YMECOn/+PEVHR9PevXupdu3a1LFjR5PpY3H9zM3Npb59+1L16tXp0qVL9PjxY82SdwaVOd+TuvTR3O/J58+f08yZMyk0NJRiYmLo/PnzNGrUKLKxsaFr165p6jDWeeRKkwRs3bqVateuTdbW1uTl5UWTJk2ilJQUzXaVSkVz5swhT09PsrGxoa5du9KtW7e06khKSqIhQ4aQg4MDOTk50ahRoyg9Pd3YXSmUovqYmZlJ3bt3Jw8PD7KysiJfX18aO3as1tRlItPr44kTJwhAvmXEiBFEpL/zdvnyZWrfvj3Z2NhQtWrVaNGiRcbqYpn7eOHCBQoICCBnZ2eytbWlhg0b0tdff62lDJt6H3/77bcCt8+bN09TR1ZWFk2cOJEqV65MlSpVogEDBmgpVUREMTEx9Prrr5OdnR25u7vTJ598QnK53Cz6GBsbSx07diRXV1eysbGhOnXq0PTp0yk1NdVk+lhcP9XhFApaTpw4oanDnO9JXfpo7vdkVlYWDRgwgLy9vcna2pqqVq1Kffv2pfDwcK06jHUeBSIi3e1SHA6Hw+FwOBUT7tPE4XA4HA6HowNcaeJwOBwOh8PRAa40cTgcDofD4egAV5o4HA6Hw+FwdIArTRwOh8PhcDg6wJUmDofD4XA4HB3gShOHw+FwOByODnClicPhcDgcDkcHuNLE4XA4HA6HowNcaeJwOByOzuzatQvdunWDq6srBEFATEyM1CJxOEaDK00cDofD0ZmMjAx07NgRCxYskFoUDsfocKWJw+GUS0JCQiAIAoKDg3UqHxMTA0EQMHLkSK31crkcwcHBqFu3LmxsbCAIAvbs2aN3ec2FYcOGYc6cOejcubPUonA4RocrTRyOCaB+YeddrKysUK1aNQwaNAjnz5+XWsQKy7fffov58+fD29sb06ZNw7x589CgQYMSK2UcDsf8sZRaAA6HI+Ln54f33nsPABsGuXDhArZv3449e/bg6NGj6Nixo8QSll+qVauGGzduwNnZWWv9/v374eDggCNHjsDa2lqzPj4+3tgicjgcieFKE4djQtSpUyef5WLRokWYOXMm5syZg5MnT0ojWAXAysoKDRo0yLc+Li4Obm5uWgpTeeKzzz7D4sWLiyxDREaShsMxbfjwHIdj4owZMwYAcOHCBa31ubm5+PHHH9GjRw/UqFEDNjY2qFKlCgYOHIiIiIh89eQdTjp79iy6dOkCR0dHeHh4YOLEicjKygIAHDhwAIGBgbC3t4enpyc+/fRTKBQKvbV9/vx5dOvWDY6OjnB2dsaAAQNKPANr586d6NSpE6pUqQJbW1t4e3sjKCgIO3fuLLC8Lm2+7NMUHBwMQRAQHR2N+/fva4ZNa9asieDgYHTp0gUAMH/+fK1h1bLOJjt16hT69+8PT09P2NjYoEaNGhg4cCDOnDmjKaPPc/nJJ5/gxo0bRS4cDofBLU0cjplgaal9uz579gwfffQROnTogDfeeAOVK1fGvXv3sG/fPhw8eBCnTp1CmzZt8tUTFhaGxYsXo0ePHhg/fjxOnDiBVatWIS0tDX369MHIkSPRr18/BAYG4sCBA1i6dCkcHBwwd+7cMrd97tw5LFmyBF26dMH48eMRERGBPXv24OrVq7h27RpsbW2LPQ6rVq3CxIkTUbVqVQwYMABubm6Ij49HeHg4du/ejTfffFMvbaodnZcvXw4A+OijjwAALi4uaNGiBWJiYrBhwwZ06tRJyynaxcWl2D4Uxvfff4+pU6fCzs4OAwYMgI+PDx49eoQzZ85gx44daN++vVZ5fZxLDw8PeHh4lFpmDqdCQRwOR3Kio6MJAPXo0SPftq+//poAUK9evbTWZ2dn08OHD/OVv3btGjk4OFBQUJDW+hMnThAAAkB79uzRrM/NzaVmzZqRIAjk7u5O4eHhmm1paWlUpUoVcnV1pdzcXL20vWXLFq1tw4YNIwC0efPmgg5NPlq1akXW1tb05MmTfNsSExNL3ab6HIwYMUKrrK+vL/n6+uZrS13/vHnzdJK7OC5dukQymYy8vb0pOjpaa5tKpaJHjx7la1sf57KkJCUlUUREBO3YsYMA0IEDBygiIoKSkpJKXSeHYy7w4TkOx4SIiopCcHAwgoODMX36dLz22muYNWsWPD09sXTpUq2yNjY2qFatWr46GjdujC5duuDUqVOQy+X5tnfp0gX9+vXT/G9lZYW33noLRIQ+ffpoWYgcHR3Ru3dvPHv2DA8fPixz2x07dsQ777yjtW706NEAmEVIV6ysrGBlZZVvvZubm8HaNDQ///wzVCoVvvzyS9SsWVNrmyAI8Pb2zrePPs5lSdm3bx9atmyJt956CwDQq1cvtGzZEvv27St1nRyOucCH5zgcE+Lu3buYP3++1jovLy+cPn0aderUyVf+0qVLWLJkCc6cOYP4+Ph8ikpiYiKqVq2qta5Fixb56lGXKWpbXFwcatWqVaa2X3nllXz1V69eHQCQkpKSb1tBDB48GJ9++imaNGmCoUOHokuXLmjfvj2cnJwKLK+PNo1BeHg4AKB79+4676Ovc1kSRo4cmS+WFYdTUeBKE4djQvTo0QOHDh0CACQkJGDDhg2YMWMG+vbti/DwcDg4OGjKnj17Fq+99hoA9qKtW7cuHBwcNMEXL1++jJycnHxtFKRcqP2litqWVykyRNtKpbKQo6LNtGnT4ObmhlWrVuHbb7/FN998A0tLS/Tq1QvLli3Lpwzoo01jkJqaCkEQ8imaRaGPc8nhcHSHK00cjoni4eGBadOmITU1FV9++SVmz56tcUoGgK+++go5OTk4ffp0Pgfh//77D5cvXzaYbFK2LQgCRo8ejdGjRyMpKQmnT5/G5s2bsW3bNty5cwdXrlyBhYWFwdo3FC4uLiAiPH78uMChTw6HIz3cp4nDMXFmzZoFb29v/PTTT1rT2e/evQtXV9d8SktmZiYuXrxoUJmkbDsvbm5u6N+/P7Zu3YrXXnsNkZGRiIqKMkrbasVMX9Yqf39/AMDhw4f1Uh+Hw9E/XGnicEwcOzs7zJgxA3K5HF988YVmva+vL5KTk3H9+nXNOqVSiWnTpiEhIcGgMknZdkhISL5gi3K5HM+ePQMAncIW6ANXV1cAwIMHDwot07lzZwiCgJCQkGLrmzBhAiwsLDB79mzcv39faxsRIS4urkzycjicssOH5zgcM2DcuHFYvHgxfv/9d8yaNQt+fn744IMPcPjwYbRv3x6DBg2Cra0tQkJC8OjRI3Tu3FmnF3VpkbLt/v37w8nJCW3btoWvry/kcjmOHDmCyMhIvPXWW/D19TVY23lp0KABvL29sWXLFtjY2KB69eoQBAEffPCBJhWLSqUCkD/GVkE0bdoUy5cvx4cffojGjRujf//+8PX1RXx8PE6dOoVevXppDc9yOBzjwy1NHI4ZYGtri5kzZ0KhUGhm1/Xu3Rs7duxA7dq18ccff2DTpk1o0KABwsPDDa44SNn2woUL0bJlS4SHh2PFihX4448/4ODggFWrVmHTpk0GbTsvFhYW2LVrF9q2bYvNmzdj7ty5mDNnDpKTkwEw69D169dRs2ZNtG3bVqc6J0+ejOPHj6NLly44ePAgvvnmGxw+fBjNmzfHoEGDDNkdDoejAwK9bOfmcDgcTpm5du0amjZtipUrV2LixIlSi8PhcPQAtzRxOByOATh9+jQ8PT01gTQ5HI75wy1NHA6Hw+FwODrALU0cDofD4XA4OsCVJg6Hw+FwOBwd4EoTh8PhcDgcjg5wpYnD4XA4HA5HB7jSxOFwOBwOh6MDXGnicDgcDofD0QGuNHE4HA6Hw+HoAFeaOBwOh8PhcHSAK00cDofD4XA4OsCVJg6Hw+FwOBwd4EoTh8PhcDgcjg5wpYnD4XA4HA5HB/4P1p2+mdivn2oAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "algo = 'cg' # We will use the Conjugate Gradient algorithm  \n",
    "#               (Name,  Value,  Vary,   Min,  Max,  Expr) Here I directly initialize with fixed frequencies\n",
    "params.add_many(('a1',   2.4,   True,  0,      None,  None),\n",
    "                ('f1',   946,   True, 910,    970,  None),\n",
    "                ('l1',   26,   True,  20,      50,  None),\n",
    "                ('a2',   3.5,   True,  0,      None,  None),\n",
    "                ('f2',   1026,  True, 990,   1070,  None),\n",
    "                ('l2',   39,   True,  20,   55,  None),  \n",
    "                ('a3',   8.5,    True,    0.7,      None,  None),\n",
    "                ('f3',   1082,  True, 1070,   1110,  None),\n",
    "                ('l3',   31,   True,  25,   35,  None),  \n",
    "                ('a4',   2.2,   True,  0,      None,  None),\n",
    "                ('f4',   1140,  True, 1110,    1160,  None),\n",
    "                ('l4',   35,   True,  20,   50,  None),  \n",
    "                ('a5',   2.,   True,  0,      None,  None),\n",
    "                ('f5',   1211,  True, 1180,   1220,  None),\n",
    "                ('l5',   28,   True,  20,   45,  None))\n",
    "\n",
    "result = lmfit.minimize(residual, params, method = algo, args=(x_fit, y_fit))\n",
    "# we release the positions but contrain the FWMH and amplitude of all peaks \n",
    "params['f1'].vary = True\n",
    "params['f2'].vary = True\n",
    "params['f3'].vary = True\n",
    "params['f4'].vary = True\n",
    "params['f5'].vary = True\n",
    "\n",
    "result2 = lmfit.minimize(residual, params,method = algo, args=(x_fit, y_fit))\n",
    "model = lmfit.fit_report(result2.params) # the report \n",
    "yout, peak1,peak2,peak3,peak4,peak5 = residual(result2.params,x_fit) # the different peaks\n",
    "rchi2 = (1/(float(len(y_fit))-15-1))*np.sum((y_fit - yout)**2/sigma**2) # calculation of the reduced chi-square \n",
    "\n",
    "##### WE DO A NICE FIGURE THAT CAN BE IMPROVED FOR PUBLICATION\n",
    "plt.plot(x_fit,y_fit,'k-')\n",
    "plt.plot(x_fit,yout,'r-')\n",
    "plt.plot(x_fit,peak1,'b-')\n",
    "plt.plot(x_fit,peak2,'b-')\n",
    "plt.plot(x_fit,peak3,'b-')\n",
    "plt.plot(x_fit,peak4,'b-')\n",
    "plt.plot(x_fit,peak5,'b-')\n",
    "    \n",
    "plt.xlim(lb,hb)\n",
    "plt.xlabel(\"Raman shift, cm$^{-1}$\", fontsize = 14)\n",
    "plt.ylabel(\"Normalized intensity, a. u.\", fontsize = 14)\n",
    "plt.title(\"Fig. 5: Fit of the Si-O stretch vibrations\\n in LS4 with \\nthe Conjugate Gradient (CG) algorithm\",fontsize = 14,fontweight = \"bold\")\n",
    "print(\"rchi-2 = \\n\"+str(rchi2))"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The CG algorithm returns a result close to the Nelder-Mead and the LM algorithms. A bad thing about the CG algorithm is that it is extremely slow in the Scipy implementation... It is (nearly) acceptable for one fit, but for bootstrapping 100 spectra, it is not a good option at all.\n",
    "\n",
    "As a last one, we can see what the results look like with the Powell algorithm:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rchi-2 = \n",
      "3.3450700892472325\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "algo = 'powell' # We will use the Powell algorithm  \n",
    "#               (Name,  Value,  Vary,   Min,  Max,  Expr) Here I directly initialize with fixed frequencies\n",
    "params.add_many(('a1',   2.4,   True,  0,      None,  None),\n",
    "                ('f1',   946,   True, 910,    970,  None),\n",
    "                ('l1',   26,   True,  20,      50,  None),\n",
    "                ('a2',   3.5,   True,  0,      None,  None),\n",
    "                ('f2',   1026,  True, 990,   1070,  None),\n",
    "                ('l2',   39,   True,  20,   55,  None),  \n",
    "                ('a3',   8.5,    True,    0.7,      None,  None),\n",
    "                ('f3',   1082,  True, 1070,   1110,  None),\n",
    "                ('l3',   31,   True,  25,   35,  None),  \n",
    "                ('a4',   2.2,   True,  0,      None,  None),\n",
    "                ('f4',   1140,  True, 1110,    1160,  None),\n",
    "                ('l4',   35,   True,  20,   50,  None),  \n",
    "                ('a5',   2.,   True,  0,      None,  None),\n",
    "                ('f5',   1211,  True, 1180,   1220,  None),\n",
    "                ('l5',   28,   True,  20,   45,  None))\n",
    "\n",
    "result = lmfit.minimize(residual, params, method = algo, args=(x_fit, y_fit))\n",
    "# we release the positions but contrain the FWMH and amplitude of all peaks \n",
    "params['f1'].vary = True\n",
    "params['f2'].vary = True\n",
    "params['f3'].vary = True\n",
    "params['f4'].vary = True\n",
    "params['f5'].vary = True\n",
    "\n",
    "result2 = lmfit.minimize(residual, params,method = algo, args=(x_fit, y_fit))\n",
    "model = lmfit.fit_report(result2.params) # the report \n",
    "yout, peak1,peak2,peak3,peak4,peak5 = residual(result2.params,x_fit) # the different peaks\n",
    "rchi2 = (1/(float(len(y_fit))-15-1))*np.sum((y_fit - yout)**2/sigma**2) # calculation of the reduced chi-square \n",
    "\n",
    "##### WE DO A NICE FIGURE THAT CAN BE IMPROVED FOR PUBLICATION\n",
    "plt.plot(x_fit,y_fit,'k-')\n",
    "plt.plot(x_fit,yout,'r-')\n",
    "plt.plot(x_fit,peak1,'b-')\n",
    "plt.plot(x_fit,peak2,'b-')\n",
    "plt.plot(x_fit,peak3,'b-')\n",
    "plt.plot(x_fit,peak4,'b-')\n",
    "plt.plot(x_fit,peak5,'b-')\n",
    "    \n",
    "plt.xlim(lb,hb)\n",
    "plt.xlabel(\"Raman shift, cm$^{-1}$\", fontsize = 14)\n",
    "plt.ylabel(\"Normalized intensity, a. u.\", fontsize = 14)\n",
    "plt.title(\"Fig. 6: Fit of the Si-O stretch vibrations\\n in LS4 with \\nthe Powell algorithm\",fontsize = 14,fontweight = \"bold\")\n",
    "print(\"rchi-2 = \\n\"+str(rchi2))"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You see in Fig. 6 that the results are, again, close to those of the other algorithms, at the exception of the two last peaks. The intensity and the frequency of the peak near 1200 cm$^{-1}$ is higher in this fit than in the others.\n",
    "\n",
    "So one important thing that has to be remembered is that, with the same parameter inputs, you will obtain different results with using different fitting algorithms. The above results are close because the fitting example is quite simple. Actually, all the results given above seem reasonable. The experience with other spectra from other silicate and aluminosilicate glasses is that the Nelder-Mead and Powell algorithms will provide the most robust ways to fit the spectra.\n",
    "\n",
    "# Error estimations\n",
    "\n",
    "Errors can be estimated with using the \"confidence\" function if you used the Levenberg-Marquardt algorithm. See the examples here: http://lmfit.github.io/lmfit-py/confidence.html .\n",
    "\n",
    "If you use a large-scale gradient-less algorithm such as the Nelder-Mead or the Powell algorithms, you cannot do that. Thus, to calculate the errors on the parameters that those algorithms provide as well as the error introduced by choosing one or the other algorithm, we can use the bootstrapping technic. Several descriptions on the internet are available for this technic, so I will skip a complete description here.\n",
    "\n",
    "A quick overview is to say that we have datapoints Yi affected by errors e_Yi. We assume that the probability density function of the Yi points is Gaussian. According to the Central Theorem Limit, this probably is a good assumption. Therefore, for each frequency in the spectrum of Fig.1, we have points that are probably at an intensity of Yi but with an error of e_Yi. To estimate how this uncertainties affect our fitting results, we can pick new points in the Gaussian distribution of mean Yi with a standard deviation e_Yi, and construct whole new spectra that we will fit. We will repeat this procedure N times.\n",
    "\n",
    "In addition to that, we can also randomly choose between the Nelder-Mead or the Powell algorithm during the new fits, such that we will take also into account our arbitrary choice in the fitting algorithm for calculating the errors on the estimated parameters.\n",
    "\n",
    "A last thing would be to randomly change a little bit the initial values of the parameters, but this is harder to implement so we will not do it for this example.\n",
    "\n",
    "First of all, we have to write a Python function that will randomly sample the probability density functions of the points of the spectrum of Fig. 1. Here is the piece of code I wrote for doing so:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [],
   "source": [
    "#### Bootstrap function\n",
    "def bootstrap(data, ese,nbsample):\n",
    "    # Bootstrap of Raman spectra. We generate new datapoints with the basis of existing data and their standard deviation\n",
    "    N = len(data)\n",
    "    bootsamples = np.zeros((N,nbsample))\n",
    "    \n",
    "    for i in range(nbsample):\n",
    "        for j in range(N):\n",
    "            bootsamples[j,i] = np.random.normal(data[j], ese[j], size=None)\n",
    "    return bootsamples"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we will define how much new spectra we want to generate (the nbsample option of the bootstrap function), and we will run the previous function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 400 ms, sys: 8.13 ms, total: 408 ms\n",
      "Wall time: 407 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "nboot = 100 # Number of bootstrap samples, I set it to a low value for the example but usually you want thousands there\n",
    "data_resampled = bootstrap(y_fit,sigma,nboot)# resampling of data + generate the output parameter tensor"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we will create a loop which is going to look at each spectrum in the data_resampled variable, and to fit them with the procedure already described.\n",
    "\n",
    "For doing so, we need to declare a couple of variables to record the bootstrap mean fitting error, in order to see if we generated enought samples to obtain a statistically representative bootstrapping process, and to record each set of parameters obtained for each bootstrapped spectrum."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [],
   "source": [
    "para_output = np.zeros((5,3,nboot)) # 5 x 3 parameters x N boot samples\n",
    "bootrecord = np.zeros((nboot)) # For recording boot strap efficiency\n",
    "        \n",
    "for nn in range(nboot):\n",
    "    algos = ['powell','nelder']\n",
    "    algo = random.choice(algos) # We randomly select between the Powell or Nelder_mear algorithm\n",
    "    params = lmfit.Parameters()\n",
    "    #               (Name,  Value,  Vary,   Min,  Max,  Expr) Here I directly initialize with fixed frequencies\n",
    "    params.add_many(('a1',   24,   True,  0,      None,  None),\n",
    "                ('f1',   946,   True, 910,    970,  None),\n",
    "                ('l1',   26,   True,  20,      50,  None),\n",
    "                ('a2',   35,   True,  0,      None,  None),\n",
    "                ('f2',   1026,  True, 990,   1070,  None),\n",
    "                ('l2',   39,   True,  20,   55,  None),  \n",
    "                ('a3',   85,    True,    70,      None,  None),\n",
    "                ('f3',   1082,  True, 1070,   1110,  None),\n",
    "                ('l3',   31,   True,  25,   35,  None),  \n",
    "                ('a4',   22,   True,  0,      None,  None),\n",
    "                ('f4',   1140,  True, 1110,    1160,  None),\n",
    "                ('l4',   35,   True,  20,   50,  None),  \n",
    "                ('a5',   4,   True,  0,      None,  None),\n",
    "                ('f5',   1211,  True, 1180,   1220,  None),\n",
    "                ('l5',   28,   True,  20,   45,  None))\n",
    "\n",
    "    result = lmfit.minimize(residual, params, method = algo, args=(x_fit, data_resampled[:,nn],sigma))\n",
    "    # we release the positions but contrain the FWMH and amplitude of all peaks \n",
    "    params['f1'].vary = True\n",
    "    params['f2'].vary = True\n",
    "    params['f3'].vary = True\n",
    "    params['f4'].vary = True\n",
    "    params['f5'].vary = True\n",
    "\n",
    "    result2 = lmfit.minimize(residual, params,method = algo, args=(x_fit, data_resampled[:,nn], sigma))\n",
    "                           \n",
    "    vv = result2.params.valuesdict()\n",
    "    para_output[0,0,nn] = vv['a1']\n",
    "    para_output[1,0,nn] = vv['a2']\n",
    "    para_output[2,0,nn] = vv['a3']\n",
    "    para_output[3,0,nn] = vv['a4']\n",
    "    para_output[4,0,nn] = vv['a5']\n",
    "            \n",
    "    para_output[0,1,nn] = vv['f1']\n",
    "    para_output[1,1,nn] = vv['f2']\n",
    "    para_output[2,1,nn] = vv['f3']\n",
    "    para_output[3,1,nn] = vv['f4']\n",
    "    para_output[4,1,nn] = vv['f5']\n",
    "            \n",
    "    para_output[0,2,nn] = vv['l1']\n",
    "    para_output[1,2,nn] = vv['l2']\n",
    "    para_output[2,2,nn] = vv['l3']\n",
    "    para_output[3,2,nn] = vv['l4']\n",
    "    para_output[4,2,nn] = vv['l5']\n",
    "                \n",
    "para_mean = np.mean(para_output,axis=2)\n",
    "para_ese = np.std(para_output,axis=2)\n",
    "for kjy in range(nboot):\n",
    "    if kjy == 0:\n",
    "        bootrecord[kjy] = 0\n",
    "    else:\n",
    "        bootrecord[kjy] = np.sum(np.std(para_output[:,:,0:kjy],axis=2))"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can have a view at the mean values and standard deviation of the parameters that have been generated by the bootstrapping:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1.01907329e-01, 9.59801068e+02, 3.94998033e+01],\n",
       "       [2.29863036e-02, 1.01318563e+03, 3.55462956e+01],\n",
       "       [7.00000000e+01, 1.07997286e+03, 2.50000000e+01],\n",
       "       [2.16231499e-11, 1.15563198e+03, 2.79510014e+01],\n",
       "       [6.16767446e-02, 1.18876604e+03, 3.10309748e+01]])"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "para_mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1.04356010e-01, 7.55651492e+00, 1.01056234e+01],\n",
       "       [2.39346823e-02, 2.23243821e+01, 1.49455168e+01],\n",
       "       [1.36218203e-11, 1.11122589e-03, 5.66669568e-10],\n",
       "       [1.72181419e-10, 3.69643476e+00, 7.45882766e+00],\n",
       "       [6.03311417e-02, 8.35320041e+00, 6.84409352e+00]])"
      ]
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "para_ese"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Those errors are probably the best estimates of the errors that affect your fitting parameters. You can add another bootstrapping function for changing of, saying, 5 percents the initial estimations of the parameters, and you will have a complete and coherent estimation of the errors affecting the fits. But for most cases, the errors generated by this above bootstrapping technic are already quite robust.\n",
    "\n",
    "We can see if we generated enought samples to have valid bootstrap results by looking at how the mean value of the parameters and their error converge. To do a short version of such thing, we can also look at how the summation of the errors of the parameters change with the iteration number. If the summation of errors becomes constant, we can say that we have generated enought bootstrap samples to have a significant result, statistically speaking."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Fig. 7: Bootstrap iterations for convergence')"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(np.arange(nboot)+1,bootrecord,'ko')\n",
    "plt.xlim(0,nboot+1)\n",
    "plt.xlabel(\"Number of iterations\",fontsize = 14)\n",
    "plt.ylabel(\"Summed errors of parameters\",fontsize = 14)\n",
    "plt.title(\"Fig. 7: Bootstrap iterations for convergence\",fontsize = 14, fontweight = 'bold')"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see from the above figure that the algorithm seems to have converged after 70 iterations. Therefore, we need to generate at least 70 spectra with the bootstrap function to obtain a good estimate of the errors that affect the parameters.\n",
    "\n",
    "# Conclusion\n",
    "This IPython notebook showed how spectra can be corrected from any baseline, how it is possible to use lmfit to fit it with Gaussian peaks, how changing the optimisation algorithm can change the results, and how we can estimate the errors on the calculated parameters with using the bootstrapping technic.\n",
    "\n",
    "Several peak models are defined in the Rampy toolbox, or directly in lmfit. You can look at the relevant instructions for both software to use other peak models in the above calculation. Results can be saved in textfiles, through using the Python output functions like np.savetxt or other ways. See the relevant python documentation for doing so. Any comments on this program will be welcome."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "gpvisc",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}