{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "4b10de2e",
   "metadata": {},
   "source": [
    "# Up/Down sampling phase space data using gaussian KDE\n",
    "\n",
    "Sometimes, phase space data is very large - much larger than it actually needs to be to serve our purposes.\n",
    "\n",
    "Othertimes, phase data is too small. For example, for good quality Monte Carlo simulations, a lot of independant primary particles are required - but simulating such particles is an expensive task, so you generally do not wish to simulate more particles than are required to represent the space.\n",
    "\n",
    "This tutorial demonstrate how we can solve these issues using [gaussian kernel density estimates](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.gaussian_kde.html).\n",
    "\n",
    "Before we go any further: **a warning!** These approaches are fairly heuristic, and there is no guarantee they will be valid for your data. You should undertake a very careful comparison of the input and output data if you intend to utilise this approach.\n",
    "\n",
    "## Example: Downsampling a large phase space\n",
    "\n",
    "Let's load in some data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "da69b1c3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-04-13T05:31:37.746356Z",
     "iopub.status.busy": "2023-04-13T05:31:37.745343Z",
     "iopub.status.idle": "2023-04-13T05:31:39.295838Z",
     "shell.execute_reply": "2023-04-13T05:31:39.294529Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "data has 308280 particles\n"
     ]
    }
   ],
   "source": [
    "from pathlib import Path\n",
    "import sys\n",
    "sys.path.append('../')  # not necessary when the library is installed\n",
    "from ParticlePhaseSpace import DataLoaders\n",
    "from ParticlePhaseSpace import PhaseSpace\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "test_data_loc = Path(r'../tests/test_data/coll_PhaseSpace_xAng_0.00_yAng_0.00_angular_error_0.0.phsp').absolute()\n",
    "ps_data = DataLoaders.Load_TopasData(test_data_loc)\n",
    "PS = PhaseSpace(ps_data)\n",
    "\n",
    "PS = PS('gammas')  # take only the gammas for this example\n",
    "print(f'data has {len(PS)} particles')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aa65ff6e",
   "metadata": {},
   "source": [
    "This is a pretty dense set of particles, and for the purpose of this tutorial I will argue that I don't actually need all these particles to represent my phase space properly (this is probably not really the case in actuality).\n",
    "\n",
    "Of course, we could just downsample this phase space using the `get_downsampled_phase_space` method; this would generate a new phase space by randomly sampling the current one. However, there is no guarantee that such an approach will preserve the distributions of your input data.\n",
    "A more sophisticated approach is fit some function to the phase space, and then sample from this function to generate new data. This is a challening problem, because we have seven dimensions we care about (we do not handle time in this approach):\n",
    "\n",
    "`x, y, z, px, py, pz, weight`\n",
    "\n",
    "We cannot assume that any of these quantities are independant: we have to assume correlations exist between all 7.\n",
    "A popular choice for such problems is [gaussian kernel density estimates](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.gaussian_kde.html)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4789da92",
   "metadata": {},
   "source": [
    "### Clean input data\n",
    "\n",
    "In general, the KDE fit appears to be quite sensitive to 'tails' in data. Since phase space data is often prone to having long tails in e.g. energy or position, and since we often don't actually care about those tails anyway, it can be a good idea to manually remove them. Since I know from [previous analysis](https://bwheelz36.github.io/ParticlePhaseSpace/basic_example.html#Basic-analytics) that nearly all data lies between -2<=x,y<=2, I am going to remove the particles outside this range:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "7b729bed",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-04-13T05:31:39.299854Z",
     "iopub.status.busy": "2023-04-13T05:31:39.299422Z",
     "iopub.status.idle": "2023-04-13T05:31:39.372957Z",
     "shell.execute_reply": "2023-04-13T05:31:39.371880Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "data where boolean_index=True accounts for  86.0 % of the original data\n"
     ]
    }
   ],
   "source": [
    "filter_input_data = True\n",
    "if filter_input_data:\n",
    "    spatial_cutoff = 3\n",
    "    keep_ind = np.logical_and(np.abs(PS.ps_data['x [mm]'])<spatial_cutoff, np.abs(PS.ps_data['y [mm]'])<spatial_cutoff)\n",
    "    PS, PS_discard = PS.filter_by_boolean_index(keep_ind, split=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35507db2",
   "metadata": {},
   "source": [
    "Note that we use `filter_by_boolean_index(split=True)` to split this PhaseSpace into two objects.\n",
    "In principle, we could model the `PS_discard` object with it's own KDE, but as the name implies: I am just going to discard it!\n",
    "\n",
    "Now we have cleaned the input a little, we can generate the KDE based phase space:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a829c8a6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-04-13T05:31:39.376875Z",
     "iopub.status.busy": "2023-04-13T05:31:39.376582Z",
     "iopub.status.idle": "2023-04-13T05:31:39.676055Z",
     "shell.execute_reply": "2023-04-13T05:31:39.675114Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/brendan/python/ParticlePhaseSpace/examples/../ParticlePhaseSpace/_ParticlePhaseSpace.py:1487: UserWarning: This method is quite experimental and should be used with extreme caution;always manually compare the new PhaseSpace data to the old PhaseSpace data to ensure it is close enough for your requirements\n",
      "  warnings.warn('This method is quite experimental and should be used with extreme caution;'\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "original data has 265149 entries, new data has 132574 entries\n"
     ]
    }
   ],
   "source": [
    "new_PS = PS.resample_via_gaussian_kde(n_new_particles_factor=0.5, interpolate_weights=False)\n",
    "print(f'original data has {len(PS)} entries, new data has {len(new_PS)} entries')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5c3e0186",
   "metadata": {},
   "source": [
    "## Ad-hoc data cleaning steps\n",
    "\n",
    "The below steps are implemented in an ad hoc way to improve the kde fit.\n",
    "You can turn them off to see what happens when they aren't implemented!\n",
    "Such ad-hoc steps are hard to implement in a general fashion, so we leave it to individual users to apply these to their own case.\n",
    "\n",
    "### Reflect Pz\n",
    "\n",
    "First, let's compare the momentums:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "8b2f9ae3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-04-13T05:31:39.680102Z",
     "iopub.status.busy": "2023-04-13T05:31:39.679721Z",
     "iopub.status.idle": "2023-04-13T05:31:43.068241Z",
     "shell.execute_reply": "2023-04-13T05:31:43.067387Z"
    }
   },
   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 1500x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1500x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PS.plot.momentum_hist_1D()\n",
    "new_PS.plot.momentum_hist_1D()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ca8d672e",
   "metadata": {},
   "source": [
    "You can see that in the original data, all values of pz are negative, but in the KDE generated data, the momentums are positive. This is a [general problem with KDE](https://medium.com/mlearning-ai/density-estimation-for-bounded-variables-7d68f633e772); to solve it, we have two options:\n",
    "\n",
    "1. remove all particles with pz>0 - the issue is that (a) this is a big chunk of our partilces, and (b) doing so would fundamentally change the energy histogram, which - although i haven't shown this - actually matches quite well.\n",
    "2. Reflect the positive values into negative\n",
    "\n",
    "I am going to take the second approach:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "632e0501",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-04-13T05:31:43.071927Z",
     "iopub.status.busy": "2023-04-13T05:31:43.071646Z",
     "iopub.status.idle": "2023-04-13T05:31:44.191929Z",
     "shell.execute_reply": "2023-04-13T05:31:44.191143Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "reflect_pz =True\n",
    "if reflect_pz:\n",
    "    new_PS.ps_data['pz [MeV/c]'] = -1* np.abs(new_PS.ps_data['pz [MeV/c]'])\n",
    "    new_PS.reset_phase_space()\n",
    "new_PS.plot.momentum_hist_1D()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bc57a08e",
   "metadata": {},
   "source": [
    "Ok, momentum looks much closer now!\n",
    "Note that I used the `reset_phase_space` method, [as is recomended](https://bwheelz36.github.io/ParticlePhaseSpace/basic_example.html#Manipulating-data-in-the-phase-space) whenever we interact directly with the phase space data like this.\n",
    "\n",
    "### Remove high divergence particles\n",
    "\n",
    "Let's take a look at the beam divergences:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "44b6534c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-04-13T05:31:44.195815Z",
     "iopub.status.busy": "2023-04-13T05:31:44.195432Z",
     "iopub.status.idle": "2023-04-13T05:31:46.442635Z",
     "shell.execute_reply": "2023-04-13T05:31:46.441921Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PS.plot.transverse_trace_space_hist_2D()\n",
    "new_PS.plot.transverse_trace_space_hist_2D()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "61eba917",
   "metadata": {},
   "source": [
    "This is a bit of a disaster; these plots look completely different.\n",
    "However, it actually appears that there are only a few outlier particles causing the second plot to look so different.\n",
    "We could just try removing these particles:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "abae7edc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-04-13T05:31:46.446543Z",
     "iopub.status.busy": "2023-04-13T05:31:46.446239Z",
     "iopub.status.idle": "2023-04-13T05:31:47.608588Z",
     "shell.execute_reply": "2023-04-13T05:31:47.607568Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "removed  0.8 % of particles\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# remove particles that have higher divergence than the maximum divergence in the original data:\n",
    "remove_high_divergence_particles=True\n",
    "if remove_high_divergence_particles:\n",
    "    div_x = np.abs(new_PS.ps_data['px [MeV/c]'] / new_PS.ps_data['pz [MeV/c]'])\n",
    "    div_y = np.abs(new_PS.ps_data['py [MeV/c]'] / new_PS.ps_data['pz [MeV/c]'])\n",
    "    max_div_x = np.max(np.abs(PS.ps_data['px [MeV/c]'] / PS.ps_data['pz [MeV/c]']))\n",
    "    max_div_y = np.max(np.abs(PS.ps_data['py [MeV/c]'] / PS.ps_data['pz [MeV/c]']))\n",
    "    rem_ind = np.logical_or(div_x > max_div_x, div_y > max_div_y)\n",
    "    new_PS.filter_by_boolean_index(np.logical_not(rem_ind), in_place=True)\n",
    "    new_PS.reset_phase_space()\n",
    "new_PS.plot.transverse_trace_space_hist_2D()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ee5515fa",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-04-13T05:31:47.612483Z",
     "iopub.status.busy": "2023-04-13T05:31:47.612010Z",
     "iopub.status.idle": "2023-04-13T05:31:47.623556Z",
     "shell.execute_reply": "2023-04-13T05:31:47.622510Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "===================================================\n",
      "                 TWISS PARAMETERS                  \n",
      "===================================================\n",
      "\n",
      "gammas:\n",
      "                x         y\n",
      "epsilon  0.089075  0.089526\n",
      "alpha    0.568640  0.563796\n",
      "beta     6.168591  6.133908\n",
      "gamma    0.214531  0.214849\n",
      "===================================================\n",
      "                 TWISS PARAMETERS                  \n",
      "===================================================\n",
      "\n",
      "gammas:\n",
      "                x         y\n",
      "epsilon  0.203519  0.184080\n",
      "alpha    0.269039  0.280994\n",
      "beta     2.974894  3.306034\n",
      "gamma    0.360477  0.326360\n"
     ]
    }
   ],
   "source": [
    "PS.print_twiss_parameters()\n",
    "new_PS.print_twiss_parameters()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9463c298",
   "metadata": {},
   "source": [
    "The emittance still doesn't match perfectly, but it's not terrible anymore either... by removing just a few outlier particles, we manged to get a phase space which looks much closer to the original!\n",
    "\n",
    "Now that we have cleaned up the data, let's compare the original data to the downsampled data:\n",
    "\n",
    "## Compare original to downsampled:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe4818d3",
   "metadata": {},
   "source": [
    "### Energy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "1135dc30",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-04-13T05:31:47.627193Z",
     "iopub.status.busy": "2023-04-13T05:31:47.626885Z",
     "iopub.status.idle": "2023-04-13T05:31:48.519957Z",
     "shell.execute_reply": "2023-04-13T05:31:48.518652Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PS.plot.energy_hist_1D()\n",
    "new_PS.plot.energy_hist_1D()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "9647845e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-04-13T05:31:48.525038Z",
     "iopub.status.busy": "2023-04-13T05:31:48.524516Z",
     "iopub.status.idle": "2023-04-13T05:31:50.138760Z",
     "shell.execute_reply": "2023-04-13T05:31:50.137734Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "===================================================\n",
      "                 ENERGY STATS                  \n",
      "===================================================\n",
      "total number of particles in phase space:  265149\n",
      "number of unique particle species:  1\n",
      "     265149 gammas\n",
      "        mean energy:  2.00 MeV\n",
      "        median energy:  1.23 MeV\n",
      "        Energy spread IQR:  2.18 MeV\n",
      "        min energy  0.01 MeV\n",
      "        max energy  10.35 MeV\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "===================================================\n",
      "                 ENERGY STATS                  \n",
      "===================================================\n",
      "total number of particles in phase space:  131515\n",
      "number of unique particle species:  1\n",
      "     131515 gammas\n",
      "        mean energy:  2.11 MeV\n",
      "        median energy:  1.42 MeV\n",
      "        Energy spread IQR:  2.23 MeV\n",
      "        min energy  0.00 MeV\n",
      "        max energy  12.23 MeV\n"
     ]
    }
   ],
   "source": [
    "PS.print_energy_stats()\n",
    "new_PS.print_energy_stats()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7746f4d5",
   "metadata": {},
   "source": [
    "## Momentum\n",
    "\n",
    "although we already compared momentum, this may have changed since we filtered out high divergence particles. let's check:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "08362f4e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-04-13T05:31:50.142516Z",
     "iopub.status.busy": "2023-04-13T05:31:50.142240Z",
     "iopub.status.idle": "2023-04-13T05:31:52.375020Z",
     "shell.execute_reply": "2023-04-13T05:31:52.374275Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1500x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PS.plot.momentum_hist_1D()\n",
    "new_PS.plot.momentum_hist_1D()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f3407837",
   "metadata": {},
   "source": [
    "Looking pretty good!\n",
    "\n",
    "### Particle Positions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "a3da2ece",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-04-13T05:31:52.379572Z",
     "iopub.status.busy": "2023-04-13T05:31:52.379170Z",
     "iopub.status.idle": "2023-04-13T05:31:54.776133Z",
     "shell.execute_reply": "2023-04-13T05:31:54.774846Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PS.plot.position_hist_1D()\n",
    "new_PS.plot.position_hist_1D()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "f8fa0c03",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-04-13T05:31:54.779932Z",
     "iopub.status.busy": "2023-04-13T05:31:54.779589Z",
     "iopub.status.idle": "2023-04-13T05:31:55.500948Z",
     "shell.execute_reply": "2023-04-13T05:31:55.500220Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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v34+PPvoIa9asQefOnTFjxgxs2bIFgwYNQrNmzXD69Gm8+eabaNKkCXr27Bn8w7yETp06Yf78+Xj++edxxRVXoGHDhujXrx/++te/4l//+hduvfVWZGRkoFOnTigsLMQPP/yATz75BFlZWahfv77p+xw8eBD9+/fHPffcgzZt2iAiIgKfffYZcnJyMHToUMPrWrZsiaSkJCxYsADx8fGIjY1F165d5TEDkZGRGDp0KObOnQun04n77rvPJ4/FixdzulQ4EMsAC0PZrJiJLOR0OrF69WqMGTMGf/3rXxEfH4/MzExMnTpVTtOvXz+89957ePHFFzFhwgSkpaVh1qxZyMrKMl0xA8C7776L8ePH4/HHH0dJSQkyMzP9VswAMGPGDKSlpeGNN97A008/jZiYGLRv3x5/+tOfDPN3OBxYsWIFXn31VXzwwQf47LPPEBMTgxYtWuCxxx6Tw/W33347srKysHDhQpw9exb169dH7969MX36dCQmJpp+P5U1depUHDt2DC+99BLOnz+P3r17o1+/foiJicHmzZvxwgsv4OOPP8YHH3yAhIQE/P73vw+qTKmpqbjvvvuwfv16/P3vf0dERARat26Njz76CEOGDDG8LjIyEu+//z6mTJmCRx55BGVlZVi0aJFmMN/999+PuXPnon///mjcuLFPHgUFBQDg9zWiUCRI1TEyhyhIGRkZ+OSTT+RfpkSX8v3336Njx4744IMP/P6RdM899yArKwvffvutDaWjS8nPz0diYiJO7r8XCfHWLcmaf74Ev2u9HHl5eUhISLAs35rAFjMRhbV33nkHcXFx8uptapIkYdOmTYaDy4hCEStmqhF5eXkoKioKmKZRo0Y1VBqqDb744gvs3bsXb7/9NsaNGycPFFMTBMFnzjWFKFEERAsXBbFooR47sGKmGvHYY4/h/fffD5iGvSpUGePHj0dOTg5uueUWeftOotqAfcxUI/bu3YtTp04FTFNdc3WJKHRV9DGf+vFOJMRHWpfv+VKktPuMfcxERtq0aVOltaqJqJYTvRZPl+Ja2URERGQBtpiJiMh+YhkgWrj5SBgvMMIWMxERUQhhi5mIiGwniF6Ld5diHzMRERFZgBUzkR+bNm1C586d4Xa70bJlS7z11luYNm2aZhvCRYsWoV+/fmjYsCFcLhfatGmD+fPn++TVvHlz3HrrrXKe0dHRuPrqq7Fp0yYAwD//+U9cffXVcLvd6NSpE7777jvN9RkZGYiLi8Px48dx6623Ii4uDr/73e8wb948AMAPP/yAfv36ITY2Fs2aNfPZj/q3337DX/7yF1x99dWIi4tDQkICbr75Znz//fc+ZX3jjTfQtm1bxMTEoE6dOujcubPf/a2JLCd5L47MtuhLCt8WM+cxE+l899136NatGxo3boxHHnkEXq8X8+bNQ4MGDfD999/LC6Fcd911aNu2LTp06ICIiAh88cUXWLt2LebOnYuxY8fK+TVv3hxutxv5+fl4+OGHkZiYiNmzZyMvLw8LFizAU089hT//+c8AgJkzZ6JBgwY4cOAAHI7yv5szMjKwfPlytGjRAr169cLVV1+NJUuWYOvWrVi0aBGefvppDB8+HE2bNsWCBQuwf/9+HDp0SN7o4b///S+GDh2KP/zhD0hLS0NOTg7eeustFBQUYO/evUhJSQFQvrTl6NGjcffdd+PGG29EcXEx/ve//yE2NhavvfZaTf4I6DJSMY85e0c/JMRZ17uaX1CGRl02hOU8ZlbMRDq333471q9fj0OHDsmV1uHDh3HVVVehrKxMrpiLiooQHR2tuXbgwIE4dOgQfvrpJ/lc8+bNcezYMWzduhXdunUDAKxduxYDBgxAdHQ09u/fj6ZNmwIA3n77bTz88MPYuHEj+vTpA6C8Yn7//ffxwgsvYMqUKQDK9ydOSUlBcXEx/vGPf+Dee+8FABw4cACtW7dGZmYmpk2bBqB8P+fIyEi5ogfK965u3bo1nn76aTz77LMAyvecPnz4MH788UcrHydRQKyYfTGUTaTi9Xrx1VdfYfDgwXKlDJTvx3zzzTdr0qor5by8PJw9exa9e/fGkSNHkJeXp0nbpk0buVIGgK5duwIo376yolJWnz9y5IhP2R588EH5OCkpCVdeeSViY2Nxzz33yOevvPJKJCUlaa53uVxypez1evHrr78iLi4OV155JXbt2qXJ8+eff8aOHTsCPSKi6mFlGLviK0yxYiZSOX36NIqKinDFFVf4vKY/98033yA9PR2xsbFISkpCgwYN8NRTTwGAT8WsrnwByPsZp6am+j1/7tw5zXm3240GDRr4pG3SpImm37vivPp6URTx6quvolWrVnC5XKhfvz4aNGiA//3vf5pyPvnkk4iLi8N1112HVq1aYezYsfjmm298ngMRVS9WzERB+Omnn9C/f3+cPXsWr7zyCr788kusW7cOjz/+OIDyylDN6XT6zcfovL6HqSrXv/DCC5g4cSJ69eqFDz/8EGvWrMG6devQtm1bTTmvuuoqHDhwAMuWLUPPnj3x6aefomfPnsjMzPR7DyIrlU+XsvYrXHEeM5FKw4YN4Xa7cfjwYZ/X1Oe++OILeDwe/Otf/9K0hjdu3Fgj5ayMTz75BH379sV7772nOZ+bm4v69etrzsXGxuLee+/Fvffei5KSEtx1113429/+hilTpsDtdtdksYkuW2wxE6k4nU6kp6djxYoVmt2wDh8+jFWrVmnSAdqWaV5eHhYtWlRzhTXJ6XT6tMA//vhjnDx5UnPu119/1XwfFRWFNm3aQJIklJaWVns56TLHPmYZW8xEOtOmTcPatWvRo0cPjBkzBl6vF3PnzkW7du2we/duAMBNN92EqKgo3HbbbXj44YdRUFCAd955Bw0bNsQvv/xi7xvQufXWWzFjxgyMHDkS3bt3xw8//IAlS5agRYsWmnQ33XQTGjVqhB49eiA5ORn79u3D3LlzMWjQIMTHx9tUeqLLDytmIp1OnTph1apV+Mtf/oJnn30WqampmDFjBvbt24f9+/cDKB/9/Mknn+CZZ57BX/7yFzRq1AhjxoxBgwYNMGrUKJvfgdZTTz2FwsJCLF26FMuXL8e1116LL7/8EpMnT9ake/jhh7FkyRK88sorKCgoQJMmTfDoo4/imWeesankdDkp7xe2bhOLcO5j5jxmIpMGDx6MPXv24NChQ3YXhajWqJjHfHpzJ8vnMTfsvZPzmIlqi6KiIs33hw4dwv/93//Ji34QEVUXhrKJ/GjRogUyMjLQokULHDt2DPPnz0dUVBQmTZpkd9GIaiVBlCDophlWNb9wxYqZyI+BAwfiH//4B7Kzs+FyudCtWze88MILaNWqld1FI6JajhUzkR+hOO2JqFYTvYB1Deawni7FPmYiIqIQwhYzERHZT7K4xRzG+zFf9hWzKIo4deoU4uPjfTYDICIihSRJOH/+PFJSUjTbiFpBkEQIkoXzmCUra/maddlXzKdOnfLZ4YeIiIydOHECTZo0sbsYtdZl38esLDXoAOC05cvtjsPSpUvhdsfZVoZQ+OJz4LPgcwj1Z1FeZVTLEq1cK1t22beYlfC1cPHLnjLExMRcLMvlG07nc1DwWZTjc1CE0rNgt1/1uuwrZiIiCgGiCFi4VjYsXKykpl32oWwiIqJQwhYzERHZjy1mGStmIiKynSCKECysS61cd7umMZRNREQUQthiJiIi+4mixWtls8VMREREFmCLmYiI7McWs4wtZiIiohDCFjMREdmPLWYZW8xEREQhhC1mIiKyn+QFRMnC/MK3xcyKmYiIbMcFRhQMZRMREYUQtpiJiMh+HPwlY4uZiIgohLDFTERE9mOLWcYWMxERUQhhi5mIiOwnSta2cq2celXDWDETEZH9RMniUHb4VswMZRMREYUQtpiJiMh+ogiIgoX5scVMREREFmDFTERE9hNF678qwev14tlnn0VaWhqio6PRsmVLPPfcc5AkpeUtSRKmTp2Kxo0bIzo6Gunp6Th06JDVT4IVMxER0axZszB//nzMnTsX+/btw6xZs/DSSy/hjTfekNO89NJLeP3117FgwQJs374dsbGxGDBgAIqLiy0tC/uYiYjIfjaPyt66dSvuuOMODBo0CADQvHlz/OMf/8C3334LoLy1PGfOHDzzzDO44447AAAffPABkpOTsWLFCgwdOtSyoteqFvOLL74IQRAwYcIEu4tCRESVIYnWfwHIz8/XfHk8Hr+37969O9avX4+DBw8CAL7//nt8/fXXuPnmmwEAR48eRXZ2NtLT0+VrEhMT0bVrV2zbts3SR1FrWsw7duzAW2+9hfbt29tdFCIiChGpqama7zMzMzFt2jSfdJMnT0Z+fj5at24Np9MJr9eLv/3tbxg+fDgAIDs7GwCQnJysuS45OVl+zSq1omIuKCjA8OHD8c477+D555+3uzhERFRZksWh7IuDtk6cOIGEhAT5tMvl8pv8o48+wpIlS7B06VK0bdsWu3fvxoQJE5CSkoIRI0ZYWLBLqxUV89ixYzFo0CCkp6dfsmL2eDyaUEZ+fj4AwO2OhiBYOIeuEqKj3Zr/X674HBR8FuX4HBSh8CwkSUJxcYFt9w9GQkKCpmI28te//hWTJ0+W+4qvvvpqHDt2DDNnzsSIESPQqFEjAEBOTg4aN24sX5eTk4OOHTtaWuawr5iXLVuGXbt2YceOHabSz5w5E9OnT/c5v3Dh24iJibG6eJWycOE7tt4/VPA5KPgsyvE5KOx8FhcuXMCwYcOqJ3ObB39duHABDod22JXT6YR4cdpVWloaGjVqhPXr18sVcX5+PrZv344xY8ZYUuQKYV0xnzhxAo899hjWrVsHt9vcX5FTpkzBxIkT5e/z8/ORmpqKUaNG29piXrjwHYwa9RCKiqwddh9O+BwUfBbl+BwUofAs1HN6a5vbbrsNf/vb39C0aVO0bdsW3333HV555RWMGjUKAOSBxc8//zxatWqFtLQ0PPvss0hJScHgwYMtLUtYV8w7d+7E6dOnce2118rnvF4vtmzZgrlz58Lj8cDpdGqucblcfvsYiouLANhTMVcoKipGUVGRrWUIBXwOCj6LcnwOCnufRTVWzDa3mN944w08++yz+POf/4zTp08jJSUFDz/8MKZOnSqnmTRpEgoLCzF69Gjk5uaiZ8+eWL16temGoVlhXTH3798fP/zwg+bcyJEj0bp1azz55JM+lTIREZE/8fHxmDNnDubMmWOYRhAEzJgxAzNmzKjWsoR1xRwfH4927dppzsXGxqJevXo+54mIKHSpph5bll+4CuuKmYiIagnuxyyrdRXzpk2b7C4CERFR0GpdxUxERGFIhMUtZgvzqmG1aq1sIiKicMcWMxER2Y8tZhlbzERERCGELWYiIrKfBGvXLwnfQdmsmImIyH6SKEASrVt9MZznMTOUTUREFELYYiYiIvtx8JeMLWYiIqIQwhYzERHZTxIAC/uYw3nwF1vMREREIYQtZiIish1HZSvYYiYiIgohbDETEZH9RIv7mMO4xcyKmYiI7CcJ5V+W5WddVjWNoWwiIqIQwhYzERHZjoO/FGwxExERhRC2mImIyH6iw+LBX+HbycwWMxERUQhhi5mIiOzH6VIyVsxERGQ7SRIgWThdSgrfSDZD2URERKGELWYiIrIfB3/J2GImIiIKIWwxExGR7SQRFi8wwhYzERERWYAtZrKNAOWvYymcV5wPgvq966mfRWpcH3icpfL3xwvW+01nxb2qm9mfd6DyWn0vCiGSxdOlrNwQo4axYiYiIttZP10qfCtmhrKJiIhCCFvMFBSrQ4VN4/rCHR0p520UzgzmXvq8zIZR1ekqk0ege5stQ8V1PxdsRlFRkal7GQm2rJr3Lyh/w0tBbttj1eekwvGCjabuxbB2mBAd5V+W5WddVjWNLWYiIqIQwhYzERHZzvr9mNnHTERERBZgi5mCYkX/q9rxgo2I9kYDGA3p4n/+WNFfaMX0IbN9x4GeU6AyGJXDij5Ss2W3YtqSUX4B7yUY3zdQv7KRmhxTQMHjqGwFW8xEREQhhC1mIiKyH0dly1gxU5VZFV41EzoN5l4+YVMLpv4Y5a9/D6lxfeTjEwWbDPPQX1fxvT6sbTYcHOg5mQ2va9IFeOzBhIMDhopVG+lW/KwEwQFBcGh+XlZ0a1RnlwFVDgd/KRjKJiIiCiFsMRMRke04+EvBipk0qnPUc6ARy8HcL9iRs8GEr03nrUunHkWsDqGrw7X+8qjIx2yIX39vK0LeZgUTDg5UJnX4/4z3P+XpJdHn5xbMaOtg0xHVJFbMRERkPw7+krGPmYiIKISwxUxERLbjqGwFK2bSqM4+x0tNn6l4Xd+vascqWP7KZ+beAfMzmOrjk8fFqUEV9wnqXianRAXTx2rFTluBxheop5VFR0fL1/q8D9UKYWb7n7miV+ji4C8FQ9lEREQhhC1mIiKyn2Tx4K8wDoawYqagBJyOE8TKWuqQbaDwrVEZ/JXDKN2lyiFfF2B6U1WnMOk1j7tRPs4q/MowXVrcTUq6gnXG9wrwMzDaMCLQ6l6ajSVMPotgp8Op0wX8TASYcmYmb4DTpSg0sWImIiLbcfCXgn3MREREIYQtZgpKwBHLFmwMUdky6FkxYjngKOoAoV3DcgS4Rh+Wrng9Ne4GFDtLjdMZkQL8fIw2p9Dvg6wuo+QbXvZHfS9NV0Al8gikOlctY1jbXpJk7UjqIHo6QgYrZiIisp/FoWwwlE1ERERWYIuZiIhsJ0kOSJJ1bUUpjGPZrJjJckZ9dVav1BXsjk9mpzo1i0uXj48XrA9QKOMVqAynXOn7c9VU6U4U/BtFRUXKZQHev6a8hRvMlUlzW+OxAWZXD9NlqP1WVV51WQHj56tfDc70+IAg+o7Zr0yhIqxD2TNnzkSXLl0QHx+Phg0bYvDgwThw4IDdxSIiosoSBeu/wlRYV8ybN2/G2LFj8Z///Afr1q1DaWkpbrrpJhQWFtpdNCIioqCEdSh79erVmu8XL16Mhg0bYufOnejVq5dNpbr8WBWiNhNiDiZ8HWjajr9yVNCEgwOtGBUgBKyZciWo/rlJ3sDlNQp1q1fqglPzkmE42CB07VO+SqyQZpifyed+rMB4dTOrV1VLjesjHx8v2Ggqb252UfO4iYUirCtmvby8PABA3bp1DdN4PB54PB75+/z8fACA2x0NIVC/XzWKjnZr/n85EiBU23OoTMWsu1B1iXE/rdl525WpmI2ehfa96N+XNk/VRYZlCqZiNruspf65m35Oqvz0zyGYXaPc0ZFKft7oSpch0H1rUij8npAkCcXFBbbd/3IhSOE8dE1FFEXcfvvtyM3Nxddff22Ybtq0aZg+fbrP+aVLlyImJqY6i0hEFNYuXLiAYcOGIS8vDwkJCZbkmZ+fj8TERBwe3hrxUc5LX2DS+RIvrliy39Ky1pRaUzGPGTMGq1atwtdff40mTZoYpvPXYk5NTYXbHWdri3nhwncwatRDKCoqtqUMFaxY/ciwBXWJFll0tBvvLXzb5zkYtU5Nb2JRiRWo0lSjhUUo9/IJgZpc+SuodLj4LN57Cw+MGq15Fqafp9n7BsH0KHdB+0tWkspM5a/+ebndUUH926jqPtOh0ELWC4XfExUt5uqomA8Na2N5xdxq6d6wrJhrRSh73LhxWLlyJbZs2RKwUgYAl8sFl8vlc764uAiwoI+tKoqKijVTY+xgZ8VcQf8carJi9qiWv1RXzD4/l2qumJX7ap/F5VYxV/y8K/tvozZWzBXs/T0Rus+lNgnrilmSJIwfPx6fffYZNm3ahLS0NLuLREREQeDuUoqwrpjHjh2LpUuX4vPPP0d8fDyys7MBAImJiYiONjfIg4iIKJSEdcU8f/58AECfPn005xctWoSMjIyaL1AtYHbFpKCm1gTavUiXtyZ/g3QBdzlShUNTY3trXjtRsElzL7UjBWsM8zS+mTpkqx15rA69p8XdJB9nFeqnC6lXCPPK71m6+J/f8pocbe1TXLNdDQb5CwGimdqdq7SjxM2u1BUo9K5+hkcL1hrmHczo7WDSkXU4XUoR1hVzLRm3RkREJAvripmIiGoHtpgVrJgpKEGNdL3EAhMVeQYK3xpuChGgTOrQtW8BddMz1OHXQCObNRtSmAsbZxWs8583AE0IXBDk1wXBEXDlLjN8r1e+14Sb9c8C5hYE0d5L+ZWiH4Ud6GdndkS0Ufg60DXqDTMCrTgWzAwCso4kWTz4K4wr5rBeK5uIiKi2YYuZiIhsx/2YFayYScOSBUZMLggS6N5qZkOMpsOPAUZRa28caIWwQCOs/d9LCBCgktTlUI3KLg9qqZ+nEh4OGKJWPwr9LyhBFzZX31dTJpMLtmiIJtP5ZKocBvEzDnSNenOPYNcDJ6pJrJiJiMh2XGBEwT5mIiKiEMIWMxER2Y7TpRSsmEkjmL41n1WSDPqVA67UpZkSFWG4d3HAPmtNP6Vq2g5Ktek0/cq6oJG6/1XVN6spDwL1K+uDUEp+ksF5n+sEp9w3LcCh6ZsWhChVfro9olXp0mKVKUJHAvSBq6+RdNO+9Ct3GVI9p+ZxN8rHPs/I7GAcyXdMQcVqcKlxfeTX1NPgzH62TH8GufJXjWPFrGAom4iIKISwYiYiIttJojIAzJqvypfh5MmT+OMf/4h69eohOjoaV199Nf773/8qZZQkTJ06FY0bN0Z0dDTS09Nx6NAhC59COYayqcqCWQXM90Vltavy6UKq8LVR/oE2cdCspFWJzdc1K3qppjoJ+n8q6r9pjUPjklSi5KEJSbs16UTJYON7wVH+5Tc/bZnU7/lI4VrVK9oy+b6Xigx0v8mMnps+xK36OWjD1/q/+41/ppeaKlexGpxR+NrsNKhAIWqGqy9v586dQ48ePdC3b1+sWrUKDRo0wKFDh1CnTh05zUsvvYTXX38d77//PtLS0vDss89iwIAB2Lt3L9xud4DcK4cVMxER2c7uPuZZs2YhNTUVixYtks+lpaWp8pMwZ84cPPPMM7jjjjsAAB988AGSk5OxYsUKDB061JqCg6FsIiIi/Otf/0Lnzp3xhz/8AQ0bNsQ111yDd955R3796NGjyM7ORnq6MrAyMTERXbt2xbZt2ywtCytmIiKyXcWSnFZ+AUB+fr7my+Px+L3/kSNHMH/+fLRq1Qpr1qzBmDFj8Oijj+L9998HAGRnZwMAkpOTNdclJyfLr1mFoWwypTLTR4ympwTqB5QkUZkKpe5vBiAY3kr7d2UL9RShgjXG5RMiDV+DI8r/aV2/rKjZOcmovxm4MmaQfHzgwpeG6RyqPmdBcMDpqPheAAL0Tatpnq66fEZ9yrpy6JcMlaBe/lP9XAIsLSqppqYF2nVLv1ynwfKnFenkXbb8TKXSX0Oklpqaqvk+MzMT06ZN80kniiI6d+6MF154AQBwzTXX4Mcff8SCBQswYsSImiiqjBUzERHZTpQEiBb2MVfkdeLECSQkJMjnXS6X3/SNGzdGmzZtNOeuuuoqfPrppwCARo0aAQBycnLQuHFjOU1OTg46duxoWbkBhrKJiCgUWDpVSgAurpWdkJCg+TKqmHv06IEDBw5ozh08eBDNmjUDUD4QrFGjRli/XtkUJT8/H9u3b0e3bt0sfRRsMZOGUXjQbOg64Gu66U36Vbwq0mrC2tCFPdXTmXTTdjQrXAXa1UmVn0PQh66V1/6UNEw+/jBvuSZVpCPa7/sQJe0qYz95vpaPoyLqqdKVwYgABxxC+S8PpyMaToegeU0+FvRTs4zLoaV+tkpYXwqw0pd6VysR2qldmjC35r765+4/v/KXzO0upf4MVWbnMvmaIKf2MVRe+z3++OPo3r07XnjhBdxzzz349ttv8fbbb+Ptt98GAAiCgAkTJuD5559Hq1at5OlSKSkpGDx4sKVlYcVMRES2s3u6VJcuXfDZZ59hypQpmDFjBtLS0jBnzhwMHz5cTjNp0iQUFhZi9OjRyM3NRc+ePbF69WpL5zADrJiJiIgAALfeeituvfVWw9cFQcCMGTMwY8aMai0HK2bSqN6QnW4FKtP3Uq18pR4prAs3qle0Uq+QBV24Wh0OjnDEal6Li1KmQqz1/CAfJ7q0Izu1pVOFg3WjrZ2qULGoChVH6kZXe6Tz8nGZ6IE7sjyUneD6HaJE5b1EqK4rM1otDECkEGNYJo9YoEqnhORFn80+FOdLfpGPvaL25yiqVyMTjJ+Fuush0AYk6u6KJrG95P97HKU4XrBedYl6RbQg1l8MgKHrmmd3izmUcPAXERFRCGGLmYiIbMcWs4IVMxER2U6UHBAl64K4VuZV01gxk6FAKyuZ3nxeM9UpwHSci/9V5K3pgzTom9Sv4KXpV1ZPK9L12DgcyjzGGyK1Az3qRyp5tq+j3DchUju9J7dU+acTqVqaLL9UuyOTuuu0e/Jp+Xjvb3U16UpVf927nSIEV3k+f67XGaJHKUdshNKXmluivVdCpJLuXIlSvgiH9udTIir38qpeauDSvsetZ5Q8NkV+Ix/ne7JgRN2v3Dy2n+Y1zc5TkrZMRlOffi7YDOAB/FywGUVFRbqbmVxVzs9KYv7uq8bpUmQnVsxERGQ7Sbq4MIiF+YUrUxVzixYtqnyjCRMm4NFHH61yPkRERLWZqYo5KysLiYmJSEpKCuomx48fR25ublDXkn2C2YhenzbQ6kxG4UF1WBsINC1GPx3H6JoSTbLWrpvl4x+EHzSvTajbXj5+aMA6+Tj+yhOadN4C1aYTqjD3+UPaaVWuJNU0qAvKNd2jtTvcRMZfUI6vj0Gp5MZaz43I6PNvRJT53w0nMlYb2nXXz5OPC0/WV87Xzdek07QkVFOfSs7HaNKd/WKgfLwtN065rzNek85T9qt8rO42OFa4yW+5AaBpXH/N9+ppUJqyXvwcVHwmzG6QEih8bYSbYtiLg78UpkPZjz/+OKZOnRrUTRyO8O2EJyIiqknsYyYiItuxxawwVTHv27cP9evXv3TCarqe7KEO7elDj8cKvvKbDjAOI+pHwPqs3HXxe3nvXX9l0pzX5tciboB8rN7QwqFbZWu/Z4N8nORqrnlNnXvxeWVVsIRo3f7JpcoqWYVHlS3gYlPOaNJFdVSuK/1RCVd7i7SrkXl+U7alizh4CpIQDaQCrvhCRHiVUHZsXyV87dmhG9msGjjjqqOE0B26EeXFZ5OU/FqcUtK5tCH/38Uo31+Xp4T4V5b9D6b47LmsHPqErgX/v0Tlz4R+pD6ApnF95eMTBZt02VXfqmBE1c1UxXzllVdW6SZVvZ6IiGq36tqPORwxlE1ERLZjKFtRpYr5zJkz2Lt3L06dOoXSUv8L4N9///1VuQUREdFlJaiKuaioCOPHj8ff//53lJX53/BdkiQIgsCKOYyp+4qNprPo0/m+aHLainolKEnyWRlKlYlhFup+ZUG1o5R+lyOHahcq/apgxarpQ3WuUKZIFf/UwPC+kQmF8nFUZ21+RVuVlcQi1f2+Zdp0cQOVfuSyXdEQHW457whR2UWqcLMypUks1f7zdUYpfxxHxCjX6FsOrnrKtKqS03WU62O0u1Wpr9su7Vbydmp35Cr1Ku8Lmr5d492vfBj9vPXJNJ/Jjcpt9f3PqlXH1J/dQCvYkb3YYlYEVTE/+uijWLhwIdq3b4+7774bjRs3RkQEo+JERERVFVRt+umnn6Jz587Ytm0bnE7npS8gIiIKgIO/FEFVzF6vF3369GGlXMsFG+YzmqriM60qwGuG1CFPQT/dyv9qX+qw9qWIquxFjxKG/i0rRZMu+ZoD8nFxtrIhRdkP5zTpHE5lqtb5n5rIx27VimAAULZBeS9iaRLKnOUbbTgiy+AQle4ib5ELRiSn8jyjWhbIx4W7kzXpSgqj5eOYBkp5o9rrwslLlEOvpITJvaJ2xTGH6vl6xQL1K5p0mp+PoO1ekCTlPZpdqUtzvS5EHajrxWweRHYJqmLu0qULDh06ZHVZiIjoMlU+tMTKPmbLsqpxQa2V+dxzz2Ht2rVYuXKl1eUhIqLLUMXgLyu/wlVQLeZu3bph7dq1uP3223HttdeiQ4cOSEhI8EknCAKeffbZKheSbKIKFV9q1S4No5HYgf6EFQTjEdfq8/rR2+rbCkYbXBiv/KQfsa3O8sJpJURdt8XPmnRFJ5VR2lF1lE0i9COlo3oroWxX8W/y8bmV2v2Y1SFld/MzKBXKw82l+XGQvEqeCT2z5WPPPiUkrVd6QrmvfuWvOum/yMfeY8prJf/TrpDmVf1iU4ehHYI2nF4mFvpNJ0F7X1EdrjZY9e3iHWBEky7A5zPYDViIQkFQFfOvv/6KKVOm4Ny5c1i/fj3Wr/ffn8OKmYiIzJAsHvx12bWYx48fj6+//hq33HILhg4dyulSREREFgmqNl29ejX69OnDPmYiIrIEFxhRBFUxS5KEzp07W10WCmE+U1gC9Bdr+vck/+d9L1Kt9iU4y7/k17zqgpgpLgRE+D0GAK+orLKlngYEAG6nUkb1TlERdQo06SLilClDUplS1qiO2vKJe3Pk47J8ZdWuOm89o0nneeYJJd3ZOHgdbuB3QGRCgWblr/yvG8nHTpe27DGtVX3HucoUJqfbo0lXpppQ4b0Qp5RV1z/u1fzslD5c9cppgL5fWU0/XUo91U0/1VLJXz11qunFHcOaxvWFx1mKowVrlSzU2QXY4cxotzM9059VomoWVMXco0cPfP/991aXhYiILlNsMSuCmi41e/Zs7NixA3PnzrW6PEREdBmqWPnLyq9wFVSL+aWXXkL79u3x2GOP4fXXX0f79u0Np0u99957VS4k2cPsBvMBp74YTXXS3+vif+VEGE9xUv8tGWgalBIOdQjaaUAOIVKVzjgPpypc7WhTX/Oa5yvlvUTVU6ZLle3T5uEtSFSOVSuJRX7woCZdRD3lORWfaCiv/CV6IiGKSig/IV2ZcuXZqeQHAEKy8m/w/E6lvDHJv2rSqVc0K8lTQtmlulXFSlUbekSopkh5VauqBaZ7tprPgtfwNXW4uXyjipE4XrARRUXaFccCMZwipZ9ix2lVFIKCqpgXL14sHx8+fBiHDx/2m44VMxERmcFQtiKoivno0aNWl4OIiIgQZMXcrFkzq8tBIUIdzgs0MjVQOqOQYMCR3YITgmDm46gOjwYaIqG8pl5xCtCuXBXrqKd5rWP9s8o3qtHWBSt1G2E4lHKU/KqEkKMHasPLni9Vo41F5bmUHNXuaSx5VeUtjYAolj8Lb2kkBK8S9pVylLC0w6WEoQFAPK6swBXXRLlvWYF2hTDnyLbycdSHyiDOqETtyHNBNUy5VLqg3Ff3cyqTlP2d1SO0W8UO0qQ7VKCaXhlodL2/jUourgwnGHwkA30GzY6w5khse3F3KUVQg7+IiIioelRpua7du3fj+++/x6lTp1BaWurzOpfkJCIiMyQIkCwcgGdlXjUtqIr59OnTGDZsGDZu3AigfMERf1gxExERVU5QFfPYsWOxYcMGrpVdCwXTHxdo1SVNn2DAVbtUU6TUq4ABflaJujQhQC9Nu6gb5eMs8UfNazvPtJaPe55XVurS79Ck7i+O7qf05+Z/qv13EJ2sTG+C6hrvBe0ULjVX/Vw4HRdfFx3lXxcVH1V2tRK92vcYqcpf3WcdWee8Jl3RvJ/k47hblGcrHfxNk67Yq54upZRXP43uyhilL/nghVXysaZPGdD8HCVdv79hn3DF5+DiZ8LocxfwMxjEeAj2N9c8jspWBFWbrlmzBn379g2ZtbLnzZuHl19+GdnZ2ejQoQPeeOMNXHfddXYXi4iITOLgL0VQg78iIyPRqVMnq8sSlOXLl2PixInIzMzErl270KFDBwwYMACnT5+2u2hERESVFlSL+YYbbsDu3bstLkpwXnnlFTz00EMYOXIkAGDBggX48ssvsXDhQkyePNnm0oU39fQmffgy0CpJhhsFBFj5yzxVOXT5CaoVvaCZ0qMt+48l6+TjJFdzzWs9GisbQTicynWlHu00KPUGEqX/UVbCim2qnXJUdFIJPUdM6S4fR6/9SJMOUUqY13tKgOgof76OiDI4HErYV73RhLuRNvRc9LNyL0++Mh3LlVCoSeeqnysfF29RpoE5nImadBGqfggXtFOz1A4Xb5aPNSup+XRdKK8F/Pz4WznOz3SpQJtTGE2rChTyDiYdWYehbEVQFfPMmTPRo0cPzJ07F+PGjbO6TKaVlJRg586dmDJlinzO4XAgPT0d27Zt83uNx+OBx6PstpOfX76cotsdDcHkzkVWi452a/4fKoKtmA37kgNVzIJg/Bw0fcxmK2b1Ndp0EQ4lf7dLOz9ZilLyKFOlq1giU07nVJ6N4FDmGTsc2gpCc51X+edWCu3cYkBVMTsElF3s0y1zaO8rOlW7Zjm0eajvVRahHDudunncDuWPCq9TVTE7tD9jh0spkytaeS7RuiVORUlVdlG91GaAJV1N/pHm85lQXRdw1yiT+YdTxRwKvyckSUJxccGlE1KVCJLRkOpL2LNnD2644QbUr1/ftrWyT506hd/97nfYunUrunXrJp+fNGkSNm/ejO3bt/tcM23aNEyfPt3n/NKlSxETE+NznoiIyl24cAHDhg1DXl6e39/5wcjPz0diYiI+6zQYsc7IS19gUqG3FHfuXGFpWWtK0EtyDh48GLm5ucjNzQ2rtbKnTJmCiRMnyt/n5+cjNTUVo0aNtrXFvHDhOxg16iEUFRVf+oIaYkeL+b333sIDo0Zrn4PlLWYlLJvoaqp5bXFbZb/jTr3+Ix97crWhXHUoOzJOtSpWtHaDh6JTymYSEU90lY/d6z/TpNOEsrPLW8ybWszFDd9NQoRq/2ixTPknG1k/T5NF8UllFTPPeVUoO14byo5KUlo8Xo9xi3neR3fIx4t/U5bhzSnWjmQXVXtae0X1vSxoMcdEl38mHni4/DNxmbeY7f49EWQ7jiopqIp5/Pjx+OmnnzBmzBjcd999tk2Xql+/PpxOJ3JycjTnc3Jy0KhRI7/XuFwuuFwun/PFxUWAzRPSi4qKK7WDTnUwO33E9BSUALtL+Uxpufi6z3MwW9EL/nc90k+dckfFy8cFXu1Uou9+biMfdy5S7erU5Jg2U9UUJmdd5Zdk8U8NNMkSmqnWlf8oS1V23S/+EuW9eM8mwet0AS2AmCvPIRLKsyi8eYx8LMz+QJNHbF3l30FCU6VM3gJt6DP3oPLHSFwjZYnPCF1ftOhR3n9hUYHqWPvMRFH5wwSaP+YC7UKl/ZkMSXhIPv40/y0lj4ufkQsXLqCoqMjwcxfoD0WzS8uavcZu9v6eqL7nwj5mRVC16ZYtW3Dbbbdh3rx5VpenUqKiotCpUyesX78egwcPBgCIooj169fb2vdNRESVI0KAaGHjyMq8alpQFbPL5cLvf/97q8sSlIkTJ2LEiBHo3LkzrrvuOsyZMweFhYXyKG0iIqJwElTFfOONN2Lr1q1WlyUo9957L86cOYOpU6ciOzsbHTt2xOrVq5GcnGx30cKS5SE8fzsFVXwL/2FuCcYrPGlCoIK+D1M1HUdQjbbW9Y+LotInGh2pnSJ0XrWjlGa1L1HXh6nqjy39RQmNC06vNlms8r0nq6587NT1RV/4Rekfjk7+DcLFKVLek9q3KU37WD523ah9nkVblH7lknNKmWKu0Hb1RNfJl48jVTtKnd3TQpMuyqH8DIpEpT/bqRsprl7FSxu+1k+bEw2OdeFryXdalXDxP8N+5QDdJGaZXc2OqonFoWx9d1E4CWqBkdmzZ+OXX37BX//6VxQX2z9Yady4cTh27Bg8Hg+2b9+Orl27XvoiIiKiEBRUi/mPf/wjEhMT8corr+Dtt99Gq1atDKdLrV+/vsqFJCKi2o1LciqCqpg3bdokH58/fx67du3ym86u6UdkjUAjr63Y7EKtaVx/eRELQXAYrh6mDpv6pnEYpNN+zMtUU3rUIVoA6FRPWU2r+Dflj83oCG2IOqKOEgJ2Oo1HyJ75+ir5uM6VysjuMtXKXADgKVDm0Me1PCnvd+FolwSnakEPxxnlfZXu0obDozsq33v2KPnn7mypSeeuq4SyHX2VEdp1in/WpCveqjxPh+pZB9ogRD0qW7/6lqjbuEJzmdFqcQFW/go0JSrgdD51FqrPZ9O4vvLxicLNuoQMZVPNCapiFsUA8xOJiIgqidOlFNyrkYiIbKfa+NWy/MJVUIO/iIiIqHqYajG//fbb6Ny5M6699tqgblLV68keZvuHAzF73fGC9Yj2RgN4oLw/z6BPz3DqFACzfyM7VZs/RDm066Pv/FWZ0tSnjrLClXf83Zp0ri3LlG9Um6KIR7V90XXbKCt/FammRLl1y2kmtVT6dwuPpJRvSNESkA6fgSQpfdgRMco0qNJ8bdmlg8qzUU/bcqt2k9Ir+eKMfOwt1uYXo8pDVE1hKhO1ferq/mFRNJ4uJQTY8Uu/5Kv+vCSJkCSxyivTBfo8nijYZJgfVT+GshWmWsyPPPIIVq5cGfRNqno9ERHR5cJ0H3Nubi6OHz9enWUhIqLLlChZO8VJDOOgh+mK+bXXXsNrr70W1E04bSo8BZouFcx1RpvXV65QBjtNAWgZe7N8fKRwneoVbWBIHTbtILXXvBahKqQzSlkhzPP8ak26QqcylcrhUoVvdSuERdZTQtbRycpUrKJf6mvSRcQoC/VEJhTKoeiio8ko9SqhcnV4Tn0NAETUV6ZwFWcpm2nE9NJOqyrcrKzcFXuDEpYu2V2qSedyKs9JUj1rh6Ddmq9MVG9qoX7/uvC02VXg1OcvhskrptD5WxXM3/WGn1f9fVXJGL6mUGGqYh4xYkSVb9SxY8cq50FERLWTBAGShRtPWJlXTTNVMS9atKi6y0FERETgPGYySb8ykyakaHKT+tS4Pprvjxds1OZhqstDHR7V3venwjWq/IxHAIuSErLdhZ2a17pJXeRjz2/KBhdRqs0e9MouKCtziV5tmbynlJB1bLtT8nFkgXbv48h6ympc3oJoSI7yfJyuMji9SnnVo60j4rSjo0senCkfO/+mHBes164y5nQp+ZXsVn5W6o00AOB0sbIRiFP1PPU/b0H1a0RCid/zACAJ6pW/dJ8Z1U4dmhHaFZ+liyP1jfb6bh6brsnuaMFa+GVys4tAn3eqHlySU8GKmYiIbFc++Mva/MIVFxghIiIKIWwxExGR7Tj4S8GKmQyp+9+axfbXvHa8cIMqoXHMyCEo/ZTqPuWALu4k5Dd/zZQb4yzUu0s5VLsz6Tl1U3/U06WKVTtAOd0eTbric8p0qdhGv8rH+SeSNekSUnPk49ITyjXeEu19HQXKamSleXHlK38BcDU7i0jVyl9igXJdya/arVYj/990+fj8LylK+Zqc1qRzxirTrHL+q+x+lZhyRpMuRjVdKkL1DL2i9lmop1Jp+pV9xh4ECNBJ5lbn0vQJq67R9ykbTdnT9yk3i1P6po8VfKXKmn3KZB9WzEREZDsO/lKwj5mIiCiEBNVivvnmmzF69GjcfvvtcDqdl76Aah2jFZh805WaSqfZuEK/iYVmGpXqb0lJu2GEelUw7XQpLfXKVcXePMN0iS1OyseRvzuveU38UcnfoZp+FOHWrrKlpp5WpV5VDAAKTykrdbnr5sHhLH+fZafjAFG5V/HpOvKxEKF9/+o86/Q9Jh979munS5WcSVLSpSnv0eE0Dt+WiBeU+wraf/OSqJ4ipfx81N0J5QKEhw26LipCz9LF/4ymSwXqTglEHb4mewXYuybo/MJVUC3mNWvW4O6770aTJk0wZcoUHD582OpyERHRZUSCANHCr3Ae/BVUxXz48GFMmjQJDocDs2bNwpVXXon+/ftj2bJlKCkxbjEQERFRYEGFslu0aIGZM2fi+eefx8qVK/Huu+9i9erV2LRpE+rUqYP7778fDz74INq0aWN1eakGqcOG+pCfYUgRQGpsb/lYs7pXgI0GTK/8pQ5f+6RXrx6lCq8GCGt7deHWYtXKXeqVsFyqVbAAwKVaqUstQjd62+tRwubeYpffYwBwRijlcLpL5JW/JK8DkmpjjMgEZcUw903a/ZM965T36dmr7Nsslmrfv3rTjVLVyHNRFxov9vr/eTh0zzPCqayQ5vWqQv4+XQ0mQ8+qdBWfGeHif2Y3RanqhhSmN8Ugy3A/ZkWVBn85nU7ccccd+OKLL3D8+HHMmDEDSUlJeO2113D11VejZ8+eeP/991FcXHzpzIiIiMi6UdmNGzfGk08+iZkzZ6Jx48aQJAlbt27FqFGj0KRJE7z88ssQRc4NJCIiXxXTpaz8CleWVMwHDx7EpEmT0KRJEwwdOhS//fYb/vSnP+Grr77CrFmzEBcXh8mTJ+PJJ5+04nZERES1VtALjBQXF+Pjjz/Gu+++i6+//hqSJKF169aYPHkyRowYgTp1yqd19OvXD+PHj8eNN96IDz74AC+//LJlhafqFWy/WqB+ZTXN6kySaPFqS+ppO9oBiaKkfOyduv7SvarZUwvXKatC6UuWW6JMGUqK8vo9DwD1Xaq+Y9WjKBW1z8Wh6jC94HXC4XKiXXtg8ae3Q/Io+ReWKfnHfqrtw80vVb8vJb/fRWu7ks56lP7y+qr+5iKvtuw/5CpljBCUPnFR1y9fpppyJgjqvnj9UzP58w3Q/2y0opfPjlfqBcLYPxwWpItfVuYXroKqmMeNG4elS5ciLy8PkZGRuPfee/Hwww+jd+/eftO7XC4MGDAA33zzTZUKS0REtRNX/lIEVTG/+eabaNmyJaZMmYKRI0eifv36l7ymT58+mDp1ajC3IyIiumwEVTGvW7cO/fv3v3RClR49eqBHjx7B3I5qkFHoWR8ODDRtRR1WDCY8XbHKk7/8A983UpVOdd8A06UKSn7RfL9OUqaFbcxWwrfqUC6g3fxCVE0LKlVtOAEAkUI0/JF0YV31illlkgfu6Ci8ib54I+cnFBcpK3qVQZmO1RkdNHnsxP/kY6+kXVlMWyb/m3oUes9qy6Ra4cvjVaaHSbppUNrVvqo+A8PfphP6z4TvRebC34HuZeY8VR8Rpjs7TOcXroIa/FXZSpmIiIjM4e5SRERkOy4womDFTBrBhPB8rjG5erw+xBhwkwszadQjcyX/q4ABgBggyFVUquyf7HT4D0MDgFdUh6zNBZ4cmvC3doWw9q5b5eMoKQJRF0eOnyk+gCLVAj3qEPhqaa8mD00oX715iG7Paf3KXRX0+yyLksHmFLrnp/3eZBBO/2NUhcf1I6w1l2l+xuY+Z4E+00ajvNX7NAPc7IJqFitmIiKyHUdlK7gfMxERUQhhxUxERLaTquGrKl588UUIgoAJEybI54qLizF27FjUq1cPcXFxGDJkCHJycowzCRJD2aRh1OcWKJ2e2X5qoylYFTsJ+UsX8L6avmTlb07B5+9P479H1dO7StU7Jemo81RvmiSKuulCBv2l+tWzdhf/U1WGMkQL0QBuQak3F6VepT/b6YgLcC9tnvJp3ZQ1L4r8pvNTSqVMmp27/N8HuERftOo6n35kg52nKtIJgqP8WPWaFVOajPI4XrC+ynlT5YRSKHvHjh1466230L59e835xx9/HF9++SU+/vhjJCYmYty4cbjrrrssXzyLLWYiIqKLCgoKMHz4cLzzzjvy0tIAkJeXh/feew+vvPIK+vXrh06dOmHRokXYunUr/vOf/1haBlbMRERkO7EavgAgPz9f8+XxaGcf6I0dOxaDBg1Cerp2ZP7OnTtRWlqqOd+6dWs0bdoU27Ztq8pb98FQNmkYhfYqs3G82dXDqhw2F5y6E/6nQfmssqUKqUrQhmUl9RQcg/Bq+WvKFKSWMQPk40OFX+rupfwT80oFynnd38T6MhoRJf9Tp8pPqKY3qTaTaBrTXZPsWOEmv3nrn4U6D8kg7/LXDJ6n7plpw9e6NoFuNTGfPCTJN78Anx+zn0EjXPmr9khNTdV8n5mZiWnTpvlNu2zZMuzatQs7duzweS07OxtRUVFISkrSnE9OTkZ2drZVxQXAipmIiEJAdS0wcuLECSQkJMjnXS6X3/QnTpzAY489hnXr1sHt9r9sbU1hKJuIiGqthIQEzZdRxbxz506cPn0a1157LSIiIhAREYHNmzfj9ddfR0REBJKTk1FSUoLc3FzNdTk5OWjUqJGlZWaLmYiIbCfB2o0nKtsZ0b9/f/zwww+acyNHjkTr1q3x5JNPIjU1FZGRkVi/fj2GDBkCADhw4ACOHz+Obt26WVTqcqyYyZTK9LkZTW8KNNVJng4DP7tLqa9T9ysb9UsCgGC8TKS+L1VXEP/X6YreLLaPfHyocJW5e6n6SK+Iu1mT7nDhGtU16rJr99zRTlXS/xpTL1eppMsq3KBJ1Ty2n+o1ZalJQffrwGj6mSQGHjwj56dbCjTQlKuq7kgWaAyEmaVeL5WOfc7VT4LFoWyTP/cK8fHxaNeuneZcbGws6tWrJ59/4IEHMHHiRNStWxcJCQkYP348unXrhuuvv96ycgOsmImIiEx59dVX4XA4MGTIEHg8HgwYMABvvvmm5fdhxUxERLYTpfIvK/Orqk2bNmm+d7vdmDdvHubNm1f1zANgxUxBMTtVxfyqXaJxCFMTXg4Q5lSlax6rzDVUh2srRR0q103NUoeHW6judVQXNjaaBqUNf+upw9cOGI3R1Ieetfc1DtcfLVir5KHaaSpgiF/9PnTPwnAlMNUOVxdvZpi7+mdvdUiZU6Qo3LBiJiIi21mxvrU+v3DF6VJEREQhhC1mCkqgsJ/Ra5da3ctwtSaTYU71qOesgnXG6QKM7DZe+Uy/ypaSTtRs9hBoxHeAEeX6Vcb0K42p7qbcy7hMhvcFIKjfY6CR7Ubl06+kZrBRh16gn6P6ufs7rhipb7abxGxY2uzqc1T9QmkTC7uxxUxERBRC2GImIiLbaWfsW5NfuGLFTEREtquutbLDEStmMqUyKysFs0OVerUvfX+zUf+jT3+zqh80YH+manqP/rVmccrUp+O6qU9GNNOxDPuGoVmNzOcZqa4TBEfAqUXG+RtcE6AfWb06l77PWv2cmsX2l4+P63enUuUf1C5hMO7rrThf8Zkw+vkHu7uUFbupEVmNFTMREdmOoWwFB38RERGFkLBtMWdlZeG5557Dhg0bkJ2djZSUFPzxj3/E008/jaioqEtnQNXGbBhRuzmFYGoTi4DTtAxWDrvUfdWOF6z3+1pT1cYP+nSasHmgqUMBwtya69TTpSSv+SlNQZD0q3MZUIf19c/Z7EYlwWwsoZ8uZZRfoHsFg6HrmhdwlmCQ+YWrsK2Y9+/fD1EU8dZbb+GKK67Ajz/+iIceegiFhYWYPXu23cUjIiIKSthWzAMHDsTAgQPl71u0aIEDBw5g/vz5rJiJiMKMCAFiJbdqvFR+4SpsK2Z/8vLyULdu3YBpPB4PPB5lP9n8/HwAgNsdDSGYkbAWiI52a/4fDoIJWQYcsSs4DJ+D6TzMhtD1YWMTzojbNN9HR0cbFMLsZ0gX8tZsmCEozyImVrdylyqMLBmHdgOGivWrjBmoan5mR0oHupc72gWg8v82qrqiVyiOyg6F3xOSJKG4uKBa8g7F3aXsIkhSOEfiFYcPH0anTp0we/ZsPPTQQ4bppk2bhunTp/ucX7p0KWJiYqqziEREYe3ChQsYNmwY8vLykJCQYEme+fn5SExMxOTU0XA7rBsfVCyW4MUTb1ta1poSchXz5MmTMWvWrIBp9u3bh9atW8vfnzx5Er1790afPn3w7rvvBrzWX4s5NTUVbnecrS3mhQvfwahRD6GoqNiWMlRWdbWY33vvLZ/nEAotZp+WsOG61Na1mN977y088MAY3Wfi8msxB/Nvo7a2mO3+PVHRYq6WirnJaLgsrJg9Ygle/Dk8K+aQC2U/8cQTyMjICJimRYsW8vGpU6fQt29fdO/eHW+//fYl83e5XHC5XD7ni4uLAJv7JIqKilFUVGRrGcyqjoq5gv45XI4VcwXfz8TlVTFXnK/sv43aWDFXsPf3ROg8h9os5CrmBg0aoEGDBqbSnjx5En379kWnTp2waNEiOBycll1drPhFFXDlL0mUp+EE2mlKXakaTY+qEpOrhxml01d0Rn8E6HehahmnDGQ8UrDG3HQp3R8BgvrWqn5p9QpegH66mPGOV6b/0DH5UdBUvrppZWbzMBLo59M0to98fLxgo6n8msb113x/rOArg5RkFQ7+UoRcxWzWyZMn0adPHzRr1gyzZ8/GmTNn5NcaNWpkY8mIiIiCF7YV87p163D48GEcPnwYTZo00bwWYt3mRER0CVxgRBG2FXNGRsYl+6Lp0prG9dV8f6Jws3ysDtFWJnRtdjN7zTWCw3DVLE0eqmKYXT3KJ79AIWr9ZhJ+rtG/Fqg/03BVMN1vjSOFazV5mHre+t88mvC6aqOOAKuR6cPcRiq7UtelExr3j6s/k2e92+X7X2oTFKP8zYav1Ri6rnlcK1vBTlkiIqIQErYtZiIiqj24wIiCFfNlzmyYrzKjsoPdgKIi7BsolBvMPtDVwWhEeMAySQHC+rrXKl4PtKGHn0KZOm92D2Ijldmb20ign5X6M1mxwprp8D5RLcCKmYiIbCfB2lnS4fxnHPuYiYiIQghbzEREZLvyPmYLFxgJ4yYzK2YyVNVlDSt7L8PVvixeXjEQ033CBtcEWobSbP940NPADFbW8pnqZZS/biWxgNPKqlq+IMcHNItLl485pYlqK1bMRERkOy4womDFTEREtuMCIwpWzGTIivC12TyCnSKlFsxUnWCn9xit4iUI2n9SmhW4ggjJBwrxB9y9KVBzwWAHLLObgpjdNSrYz0+gn8nxwg2m0pn9GXMKFoUiVsxERGQ7hrIVnC5FREQUQthiphoT7Ehcq0eHB8rP9OhjgxHbgfY+Nj0qWRAMw80Bi2R2RS/NvtBVf57qvYuPF6wPkK6v4Wvq1b78PaeKkL7ZcLvZz0xNzjygwNjHrGCLmYiIKISwxUxERLaTLN7EIpz7mFkxExGR7bhWtoIVM5lSmf5ho367YPvwgumLDja/qk6z0UyjAoz7oi3Yacvn3mbzN7n7l897UQqo+dbsClwnCjaZKp/mVhfTVTyHYN6jmfyJQgkrZiIish33Y1Zw8BcREVEIYYuZTKlMyM/q8KDZlaWqM+RrVqANI6xY7cso70D5B/0eqzitSj89Sj0lKlhmw/AUfrjAiIItZiIiohDCFjMREdmOC4woWDFTlQW7opdZoZ6fWZUJoZspoxWbRATMQ736mMm4oDpv9SjsSt3XJKP9pwHzG3JQ6ODgLwVD2URERCGELWYiIrIdFxhRsMVMREQUQthipirjVBVjofhsTK+KFUQ/rTrvZnHpmtfMrhAWDPYphz/2MSvYYiYiIgohbDETEZHtuMCIghUzEVWL6gxdE9VmrJiJiMh2XGBEwYqZiIhsJ8LiwV/WZVXjOPiLiIgohLDFTEREtuMCIwq2mImIiEIIW8xERGQ7SbK2Xzicp0uxxUxERBRC2GImIiLbSZLFfcxh3GJmxUxERLbjPGYFQ9lEREQhhC1mIiKynSgBooXBbO4uRURERJZgi5mIiGzHBUYUbDETERGFELaYiYjIdqLFC4yEcx8zK2YiIrKddPE/K/MLVwxlExERhRC2mImIyHYMZSvYYiYiIgohbDETEZHtuCSngi1mIiKiEMIWMxER2U6SLB6VHcbbS7HFTEREFELYYiYiItuxj1nBipmIiGzHULaCoWwiIqIQUisqZo/Hg44dO0IQBOzevdvu4hARUSVJUMLZVnyFb3u5llTMkyZNQkpKit3FICIiqrKwr5hXrVqFtWvXYvbs2XYXhYiIgiRKkuVf4SqsB3/l5OTgoYcewooVKxATE2PqGo/HA4/HI3+fn58PAHC7oyEIQrWU81Kio92a/1+u+BwUfBbl+BwUofAsJElCcXGBbfevTjNnzsQ///lP7N+/H9HR0ejevTtmzZqFK6+8Uk5TXFyMJ554AsuWLYPH48GAAQPw5ptvIjk52dKyCFKYDl2TJAm33HILevTogWeeeQZZWVlIS0vDd999h44dOxpeN23aNEyfPt3n/NKlS01X7kREl6MLFy5g2LBhyMvLQ0JCgiV55ufnIzExEX2iRyFCiLIkTwAok0qwqWih6bIOHDgQQ4cORZcuXVBWVoannnoKP/74I/bu3YvY2FgAwJgxY/Dll19i8eLFSExMxLhx4+BwOPDNN99YVm4gBCvmyZMnY9asWQHT7Nu3D2vXrsVHH32EzZs3w+l0mq6Y/bWYU1NT4XbH2dpiXrjwHYwa9RCKioptKUMo4HNQ8FmU43NQhMKzqGgxV0fF3KsaKuYtlaiY9c6cOYOGDRti8+bN6NWrF/Ly8tCgQQMsXboUd999NwBg//79uOqqq7Bt2zZcf/31lpU95ELZTzzxBDIyMgKmadGiBTZs2IBt27bB5XJpXuvcuTOGDx+O999/3++1LpfL5xoAKC4uAmBPxVyhqKgYRUVFtpYhFPA5KPgsyvE5KOx9FiHVjjOloruyglEdoJeXlwcAqFu3LgBg586dKC0tRXp6upymdevWaNq0ae2vmBs0aIAGDRpcMt3rr7+O559/Xv7+1KlTGDBgAJYvX46uXbtWZxGJiMhiIiSIFlb8FXmlpqZqzmdmZmLatGmBrxVFTJgwAT169EC7du0AANnZ2YiKikJSUpImbXJyMrKzsy0rNxCCFbNZTZs21XwfFxcHAGjZsiWaNGliR5GIiCjEnDhxQhPKNtNaHjt2LH788Ud8/fXX1Vk0Q2FbMRMRUe0hSha3mC8On0pISKhUH/O4ceOwcuVKbNmyRdPIa9SoEUpKSpCbm6tpNefk5KBRo0aWlRuoBfOYKzRv3hySJAUc+EVEROSPJEkYN24cPvvsM2zYsAFpaWma1zt16oTIyEisX79ePnfgwAEcP34c3bp1s7QsbDETEZHtJFi8iUUl8xo7diyWLl2Kzz//HPHx8XK/cWJiIqKjo5GYmIgHHngAEydORN26dZGQkIDx48ejW7dulg78AlgxExERYf78+QCAPn36aM4vWrRInin06quvwuFwYMiQIZoFRqzGipmIiGxXXaOyzTKzpIfb7ca8efMwb968YItlCitmIiKynd0VcyipNYO/iIiIagO2mImIyHZ2D/4KJWwxExERhRC2mImIyHaSxX3MbDETERGRJdhiJiIi24mCCEEQrcsP1uVV01gxExGR7URIEDhdCgBD2URERCGFLWYiIrKddHGJESvzC1dsMRMREYUQtpiJiMh2ImBxH3P4YouZiIgohLDFTEREtuN0KQUrZiIisp0IEYKFlWk4V8wMZRMREYUQtpiJiMh2bDEr2GImIiIKIWwxExGR7bjAiIItZiIiohDCFjMREdmO06UUbDETERGFkMu+xSxJFUvA2bdFmCRJuHDhwsWyhO9WZVXF56DgsyjH56AIjWchyWWxPmfR0lZuOPcxC1J1POEw8vPPPyM1NdXuYhARhY0TJ06gSZMmluSVn5+PxMREpMUOgEOItCRPABClUhwtXIO8vDwkJCRYlm9NuOxbzCkpKThx4gTi4+MhCIItZcjPz0dqaipOnDgRdh8gK/E5KPgsyvE5KELhWUiShPPnzyMlJcWW+18uLvuK2eFwWPaXX1UlJCRc9r98AD4HNT6LcnwOCrufRWJiYrXkWx7G5uAvgIO/iIiIQspl32ImIiL7iZBgbYs5fIdPscUcAlwuFzIzM+Fyuewuiq34HBR8FuX4HBR8FpePy35UNhER2adiVHaT2L5wCNYFcUWpDD8XbuSobCIiomBw8JeCoWwiIqIQwhYzERHZjrtLKdhiJiIiCiGsmEOUx+NBx44dIQgCdu/ebXdxalxWVhYeeOABpKWlITo6Gi1btkRmZiZKSkrsLlq1mzdvHpo3bw63242uXbvi22+/tbtINW7mzJno0qUL4uPj0bBhQwwePBgHDhywu1i2e/HFFyEIAiZMmGB3USwnwmv5V7hixRyiJk2adFkve7d//36Iooi33noLe/bswauvvooFCxbgqaeesrto1Wr58uWYOHEiMjMzsWvXLnTo0AEDBgzA6dOn7S5ajdq8eTPGjh2L//znP1i3bh1KS0tx0003obCw0O6i2WbHjh1466230L59e7uLQtWM06VC0KpVqzBx4kR8+umnaNu2Lb777jt07NjR7mLZ7uWXX8b8+fNx5MgRu4tSbbp27YouXbpg7ty5AABRFJGamorx48dj8uTJNpfOPmfOnEHDhg2xefNm9OrVy+7i1LiCggJce+21ePPNN/H888+jY8eOmDNnjt3FskTFdKmGsddbPl3qdOF/wnK6FFvMISYnJwcPPfQQ/v73vyMmJsbu4oSUvLw81K1b1+5iVJuSkhLs3LkT6enp8jmHw4H09HRs27bNxpLZLy8vDwBq9c8/kLFjx2LQoEGaz0ZtI0pey7/CFUdlhxBJkpCRkYFHHnkEnTt3RlZWlt1FChmHDx/GG2+8gdmzZ9tdlGpz9uxZeL1eJCcna84nJydj//79NpXKfqIoYsKECejRowfatWtnd3Fq3LJly7Br1y7s2LHD7qJQDWGLuQZMnjwZgiAE/Nq/fz/eeOMNnD9/HlOmTLG7yNXG7LNQO3nyJAYOHIg//OEPeOihh2wqOdll7Nix+PHHH7Fs2TK7i1LjTpw4gcceewxLliyB2+22uzjVqmK6lJVf4Yp9zDXgzJkz+PXXXwOmadGiBe655x588cUXmn2hvV4vnE4nhg8fjvfff7+6i1rtzD6LqKgoAMCpU6fQp08fXH/99Vi8eDEcjtr7t2RJSQliYmLwySefYPDgwfL5ESNGIDc3F59//rl9hbPJuHHj8Pnnn2PLli1IS0uzuzg1bsWKFbjzzjvhdDrlc16vF4IgwOFwwOPxaF4LRxV9zPViOlnex/zrhZ1h2cfMijmEHD9+HPn5+fL3p06dwoABA/DJJ5+ga9euIbNvdE05efIk+vbti06dOuHDDz8M+19AZnTt2hXXXXcd3njjDQDlYdymTZti3Lhxl9XgL0mSMH78eHz22WfYtGkTWrVqZXeRbHH+/HkcO3ZMc27kyJFo3bo1nnzyyVoR2q+omOvGXAOHYN2/cVHy4rcL34Vlxcw+5hDStGlTzfdxcXEAgJYtW16WlXKfPn3QrFkzzJ49G2fOnJFfa9SokY0lq14TJ07EiBEj0LlzZ1x33XWYM2cOCgsLMXLkSLuLVqPGjh2LpUuX4vPPP0d8fDyys7MBAImJiYiOjra5dDUnPj7ep/KNjY1FvXr1akWlTP6xYqaQtG7dOhw+fBiHDx/2+aOkNgd57r33Xpw5cwZTp05FdnY2OnbsiNWrV/sMCKvt5s+fDwDo06eP5vyiRYuQkZFR8wWiaidJIkQIl05YifzCFUPZRERkm4pQdp3oDhAsDGVLkhfnir5nKJuIiCgY5aOoLWwxh/GobFbMRERkO8niBUGszq8m1d65J0RERGGILWYiIrJd+dAvhrIBtpiJiIhCClvMRERku/LpTZwuBbDFTEREFFLYYiYiIttJsHhUtsX51SS2mImqSUZGhmbXrAULFthdpEvav3+/pszNmze3u0h0mZAkCZIkWvgVvmtnscVMVM0ee+wxJCUloXPnznYX5ZLq16+PzMxMAMCcOXPsLQzRZYoVM1E1mzBhQti0POvXr49p06YBABYvXmxrWejyYvX0Jk6XIiIiIkuwYiZSkSQJt9xyCwRBwPLly31eu/nmm/2+FgxBENCnTx+cPHkSw4YNQ/369REfH49BgwbhyJEjAIB9+/Zh8ODBqFu3LuLj43H33XcjJydHk09WVhYEQUBGRgb27duHW2+9FUlJSahTpw7uu+8+nD17FgCwbds29O/fHwkJCahTpw4efPBBFBYWVvl9EFlBkryWf4UrVsxEKoIgYNGiRWjYsCEefvhhzSb1c+bMwerVq5GRkYF7773XkvudO3cOPXv2xNGjRzFixAj06dMH//d//4cbb7wRP/74I7p3746CggKMGjUKnTt3xqeffor77rvPb15Hjx5F9+7d4fF48OCDD6JDhw5YtmwZBg8ejK+//hr9+/dHXFwcRo8ejZYtW+K9997D+PHjLXkfRGQhiYh8rFq1ShIEQerevbtUVlYmfffdd1JUVJTUqlUr6fz586byGDFihARAOnr0qN/XAUgApMcff1xzfsyYMRIAKSkpSZozZ458XhRF6ZZbbpEASDt37pTPHz16VM7LKH1SUpK0YsUK+bWSkhKpffv2UkREhJSdne23fM2aNZOaNWtm6r0SBSsvL08CILkifie5I1Mt+3JF/E4CIOXl5dn9FiuNLWYiPwYOHIjHHnsMW7duxeTJk3HfffdBkiT84x//QFxcnGX3iYuLw/PPP685V9EirlevHh599FH5vCAIGDp0KADg+++/98mrZcuWhumvueYa3HHHHfJrkZGRuPvuu1FWVoa9e/da9n6IgiVBtPwrXHFUNpGBF198EZs2bcLs2bMBALNmzUKnTp0svUerVq0QExOjOde4cWMAQPv27SEIgt/XTp065ZNXoPQdO3b0SR8oLyKyD1vMRAZcLhduvvlmAIDb7caDDz5o+T0SEhJ8zkVERFzytdLS0mrNi6imWbu4iMi1solqo+3bt+Pll19GvXr1UFxcjDFjxthdJCK6DLBiJvLj/PnzGDZsGCIiIrBp0yYMGTIEH330ERYuXGh30YhqJfYxK1gxE/nx5z//GUeOHMHs2bPRrl07vPPOO0hNTcWjjz6KgwcP2l08IqrFWDET6Xz44Yf48MMPcdttt2Hs2LEAgDp16uDDDz9EUVERhg0bxn5ZIotxgREFK2YilaNHj2Ls2LFo3LixT9i6V69emDJlCnbu3ImnnnrKphISUW0nSFIY741FFMIyMjLw/vvv4+jRo2GziYVaRZmzsrJsLQfVbvn5+UhMTITTUcdnul9VSJIEr3gOeXl5fmclhDK2mImqWVpaWljux6xejpSounG6lIILjBBVk8GDB2tayuG2HzMAJCUl2VcYossUQ9lERGSbilC2IMRbHsqWpPMMZRMREVHVMJRNREQhQARgXYu5fMO18MQWMxERUQhhi5mIiOwnWdxiDuPhU6yYiYjIdpLFoWyJoWwiIiKyAlvMREQUAjj4qwJbzERERBfNmzcPzZs3h9vtRteuXfHtt9/WeBlYMRMRUQiQygdsWfUVRIt5+fLlmDhxIjIzM7Fr1y506NABAwYMwOnTp61/uwFw5S8iIrJNxcpfQAQEywd/lVVq5a+uXbuiS5cumDt3LgBAFEWkpqZi/PjxmDx5smVluxS2mImIKARIlv5X2RZzSUkJdu7cifT0dPmcw+FAeno6tm3bZvF7DYyDv4iIKERYH8DNz8/XfO9yueByuXzSnT17Fl6vF8nJyZrzycnJ2L9/v+XlCoQtZiIisk1UVBQaNWoEwGv5V1xcHFJTU5GYmCh/zZw5s0bfXzDYYiYiItu43W4cPXoUJSUlluctSZLPjlX+WstA+ZanTqcTOTk5mvM5OTkX/3CoOayYiYjIVm63G26329YyREVFoVOnTli/fj0GDx4MoHzw1/r16zFu3LgaLQsrZiIiIgATJ07EiBEj0LlzZ1x33XWYM2cOCgsLMXLkyBotBytmIiIiAPfeey/OnDmDqVOnIjs7Gx07dsTq1at9BoRVN85jJiIiCiEclU1ERBRCWDETERGFEFbMREREIYQVMxERUQhhxUxERBRCWDETERGFEFbMREREIYQVMxERUQhhxUxERBRCWDETERGFEFbMREREIYQVMxERUQj5/6GbQj8LjxevAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 500x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PS.plot.particle_positions_hist_2D(xlim=[-5,5], ylim=[-5,5])\n",
    "new_PS.plot.particle_positions_hist_2D(xlim=[-5,5], ylim=[-5,5])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9d2d4e32",
   "metadata": {},
   "source": [
    "Again, this is a reasonable looking guess - although as an excercise, see what happens if you set `filter_input_data=False` above! This will cause this estimate to fail quite badly.\n",
    "\n",
    "\n",
    "As you can see, it is possible using this approach to get a reasonable match to your input data This allows you to both upsample and downsample a phase space.\n",
    "Of course, as I mentioned above:\n",
    "\n",
    "1. be careful!\n",
    "2. consider what the accuracy requirements are for your specfic application! "
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}