{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8ef34fc3",
   "metadata": {},
   "source": [
    "# Example notebook for the SimCATS class IdealCSDGeometric and related functions\n",
    "\n",
    "This notebook provides an example for the usage of total charge transitions (TCTs) for the simulation of charge stability diagrams (CSDs). TCTs basically separate regions with different total number of charges in the system. The TCT with the identifier $n$ separates the region with $n-1$ from the region with $n$ electrons in the double dot system."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6b84aa85",
   "metadata": {},
   "source": [
    "## Imports\n",
    "Import the required packages and modules"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "303b18d7-6b53-4827-8e40-7318140e310e",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:33.317958100Z",
     "start_time": "2023-12-12T15:00:31.593014400Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DIPlib -- a quantitative image analysis library\n",
      "Version 3.4.1 (Oct 13 2023)\n",
      "For more information see https://diplib.org\n"
     ]
    }
   ],
   "source": [
    "from simcats import default_configs\n",
    "from simcats.ideal_csd.geometric import calculate_all_bezier_anchors, tct_bezier, initialize_tct_functions, ideal_csd_geometric\n",
    "from simcats.ideal_csd.geometric import get_electron_occupation, generate_lead_transition_mask_1d, generate_lead_transition_mask_2d\n",
    "from simcats.support_functions import rotate_points, plot_csd, sigmoid_cdf, cauchy_cdf\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "60a30333",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:33.325169500Z",
     "start_time": "2023-12-12T15:00:33.321576400Z"
    }
   },
   "outputs": [],
   "source": [
    "plt.rcParams[\"figure.figsize\"] = (10, 6)\n",
    "plt.rcParams[\"figure.dpi\"] = 150"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e21cf1d5-d64a-4bd8-91a9-b912b4ce2c96",
   "metadata": {
    "tags": []
   },
   "source": [
    "## Total Charge Transitions (TCTs)\n",
    "\n",
    "In this section we will set up a TCT, visualize it and learn how it is used/parametrized. The representation of the TCTs used by SimCATS is based on linear parts connected by bezier curves."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fb5fcac2-b1d0-4ba2-8b3c-19fe5a1ffc64",
   "metadata": {
    "tags": []
   },
   "source": [
    "### Total Charge Transition (TCT) parameters\n",
    "\n",
    "First, we will set up the parameters for our TCT. Each TCT requires the 8 parameter described below. We will later plot a visualization of the parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "36631d1b",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:33.339331200Z",
     "start_time": "2023-12-12T15:00:33.327635700Z"
    }
   },
   "outputs": [],
   "source": [
    "# lengths of the linear parts of the curve\n",
    "len_left = 0.01075474  # length left\n",
    "len_right = 0.01549732  # length right\n",
    "\n",
    "# slopes for left and right parts of the curve\n",
    "slope_left = 0.40341781  # slope left\n",
    "slope_right = -0.36136557  # slope right\n",
    "\n",
    "# coordinates of the left anchor of the first curve\n",
    "left_anchor_x = -0.04171389  # start position x (bezier curve leftmost point)\n",
    "left_anchor_y = -0.16351316  # start position y (bezier curve leftmost point)\n",
    "\n",
    "# coordinates of the right anchor of the first curve\n",
    "right_anchor_x = -0.04012621  # start position x (bezier curve rightmost point)\n",
    "right_anchor_y = -0.16343108  # start position y (bezier curve rightmost point)\n",
    "\n",
    "# tct_params (np.ndarray): Numpy array containing all required parameters to describe the TCT form.\n",
    "specific_tct_params_single = np.array(\n",
    "    [len_left, len_right, slope_left, slope_right, left_anchor_x, left_anchor_y, right_anchor_x, right_anchor_y]\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d9453ba7-ccc9-4368-ada2-b72175808e45",
   "metadata": {},
   "source": [
    "### Evaluation/Calculation of the TCT\n",
    "\n",
    "Next, we will evaluate the described TCT at given positions in x-space. Therefore, we specify the range to be evaluated and generate the coordinates to be evaluated (using np.linspace). Then, we evaluate & plot the TCT."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "55dc0c1c-1f99-4a60-a35c-a3836accbc88",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:33.355815600Z",
     "start_time": "2023-12-12T15:00:33.338105Z"
    }
   },
   "outputs": [],
   "source": [
    "max_peaks = 2  # maximal number of peaks\n",
    "lut_entries = 1000  # size of lookup table for the bezier curves\n",
    "x_points_num = 1000  # number of x points to evaluate\n",
    "x_left = left_anchor_x - 0.01  # leftmost x point to evaluate\n",
    "x_right = right_anchor_x + 0.04  # rightmost x point to evaluate\n",
    "rotation = 0  # rotation of the transition/bezier line"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "8fdb27e5-b1a4-4942-b91f-f0df19c45cd9",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:33.690848100Z",
     "start_time": "2023-12-12T15:00:33.345604600Z"
    }
   },
   "outputs": [],
   "source": [
    "# calculation of the wavefront\n",
    "x_eval = np.linspace(x_left, x_right, x_points_num, endpoint=True)\n",
    "y_values = tct_bezier(tct_params=specific_tct_params_single, x_eval=x_eval, max_peaks=max_peaks, lut_entries=lut_entries)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "adbf4f0d-4960-49cc-969b-eaa37fc6f229",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:33.890885300Z",
     "start_time": "2023-12-12T15:00:33.680474500Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1500x900 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the wavefront\n",
    "plt.plot(x_eval, y_values, \"k\")\n",
    "plt.xlabel(\"G1' [V]\")\n",
    "plt.ylabel(\"G2' [V]\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fb4ba18b4eb8bd82",
   "metadata": {},
   "source": [
    "### Representation with and without tunnel coupling / rounding of interdot transitions"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "463f2948-1248-448b-9634-ed8b1de71b59",
   "metadata": {},
   "source": [
    "#### Retrieve all bezier anchors of the TCT & set up representation with no tunnel coupling / rounding of interdot transitions\n",
    "\n",
    "After evaluating & plotting our TCT, we will now retrieve all bezier anchors (which define the rounded part). Instead of calculating the anchors ourself we can use a function provided by SimCATS (`calculate_all_bezier_anchors`). The center anchor for every bezier curve is calculated as the intersection of the two linear parts localized at the two outer anchors (left/right). This intersection point can be used to represent the TCT without rounding of the parts affected by interdot transitions (An interdot transition describes the tunneling of an electron from one dot to another). That is done by setting the left and right anchor (of the TCT params) to the position of the center anchor (and basically deactivating the bezier curve as it has a width of zero)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a3035cbc-57ff-4da4-8a91-43b6d6e97a8c",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:33.906097Z",
     "start_time": "2023-12-12T15:00:33.902136Z"
    }
   },
   "outputs": [],
   "source": [
    "# get all the bezier anchors, including the middle ones, that are not defined directly\n",
    "bezier_coords = calculate_all_bezier_anchors(tct_params=specific_tct_params_single, max_peaks=max_peaks, rotation=rotation)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a1311c49",
   "metadata": {},
   "source": [
    "The bezier_coords dictionary contains 3d numpy arrays. The **keys of the dictionary** stand for the max_peaks number (also refered to as TCT ID and further described in section [Controlling the number of interdot transitions using the parameter max_peaks](#max_peaks)). The lowest/first TCT has a max_peaks/ID number of 1. In our case we set the max_peaks/ID number to 2. Therefore, we are interested in the bezier coordinates of the corresponding numpy array.  \n",
    "The **dimensions of the bezier coordinate array** map to:\n",
    "1. dim := peak/valley identifier  \n",
    "2. dim := anchor position (0 = left, 1 = center, 2 = right)  \n",
    "3. dim := coordinate axis identifier (0 = x-value, 1 = y-value)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b7bba4d1",
   "metadata": {},
   "source": [
    "We only have one TCT line therefore our dictionary only contains the anchors for that one line. For convenience we save the array containing these to a new variable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "54886722",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:33.938701Z",
     "start_time": "2023-12-12T15:00:33.916656900Z"
    }
   },
   "outputs": [],
   "source": [
    "bezier_coords_1D = bezier_coords[2]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "95f7c250",
   "metadata": {},
   "source": [
    "To calculate the theoretical wavefront without tunnel coupling, set left and right bezier anchor to an identical point, in this case the center anchor of the first peak."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "02425790-d083-4bca-b030-7df73b468795",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:33.963882Z",
     "start_time": "2023-12-12T15:00:33.921796Z"
    }
   },
   "outputs": [],
   "source": [
    "specific_tct_params_no_tunnel_coupling = specific_tct_params_single.copy()\n",
    "specific_tct_params_no_tunnel_coupling[4] = bezier_coords_1D[0][1][0]  # x coordinate of center anchor of first peak\n",
    "specific_tct_params_no_tunnel_coupling[5] = bezier_coords_1D[0][1][1]  # y coordinate of center anchor of first peak\n",
    "specific_tct_params_no_tunnel_coupling[6] = bezier_coords_1D[0][1][0]  # x coordinate of center anchor of first peak\n",
    "specific_tct_params_no_tunnel_coupling[7] = bezier_coords_1D[0][1][1]  # y coordinate of center anchor of first peak\n",
    "\n",
    "y_tct_no_tunnel_coupling = tct_bezier(\n",
    "    tct_params=specific_tct_params_no_tunnel_coupling, x_eval=x_eval, max_peaks=max_peaks, lut_entries=lut_entries\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "92deb733",
   "metadata": {},
   "source": [
    "Calculate the extent of the two lead-to-dot transitions (LDTs) (A LDT is a transition where an electron tunnels in (or out) of the dot system from (or to) the leads)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "f53fde22",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:33.976800300Z",
     "start_time": "2023-12-12T15:00:33.967639Z"
    }
   },
   "outputs": [],
   "source": [
    "# retrieve max and min values\n",
    "max_val = np.max(y_tct_no_tunnel_coupling)\n",
    "min_val = np.min(y_tct_no_tunnel_coupling)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "0bbd1fb5",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:33.980574200Z",
     "start_time": "2023-12-12T15:00:33.975438100Z"
    }
   },
   "outputs": [],
   "source": [
    "# retrieve the x-extent of the two lead to dot transitions (ldts)\n",
    "ldt_1_x_start = bezier_coords_1D[0][1][0]  # x coordinate of center anchor of first peak\n",
    "ldt_1_x_stop = bezier_coords_1D[1][1][0]  # x coordinate of center anchor of first valley\n",
    "ldt_1_y_start = bezier_coords_1D[0][1][1]  # y coordinate of center anchor of first valley\n",
    "ldt_1_y_stop = bezier_coords_1D[1][1][1]  # y coordinate of center anchor of first valley\n",
    "\n",
    "\n",
    "ldt_2_x_start = bezier_coords_1D[1][1][0]  # x coordinate of center anchor of first valley\n",
    "ldt_2_x_stop = bezier_coords_1D[2][1][0]  # x coordinate of center anchor of second peak\n",
    "ldt_2_y_start = bezier_coords_1D[1][1][1]  # y coordinate of center anchor of first valley\n",
    "ldt_2_y_stop = bezier_coords_1D[2][1][1]  # y coordinate of center anchor of first valley"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "94d09911",
   "metadata": {},
   "source": [
    "#### Plot the TCT curves with and without tunnel coupling and annotate the parameters necessary to generate/define the TCT."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "d9be1d95",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:34.403817100Z",
     "start_time": "2023-12-12T15:00:33.980574200Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1500x900 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot/visualize tct without tunnel coupling\n",
    "plt.plot(x_eval, y_tct_no_tunnel_coupling, '--')\n",
    "# plot/visualize tct with tunnel coupling\n",
    "plt.plot(x_eval, y_values)\n",
    "\n",
    "\n",
    "# plot/visualize ldt 2\n",
    "plt.plot([ldt_2_x_stop, ldt_2_x_stop], [ldt_2_y_start, ldt_2_y_stop], \"k--\")\n",
    "plt.annotate(text=\"\", xy=(ldt_2_x_stop, ldt_2_y_start), xytext=(ldt_2_x_start, ldt_2_y_start), arrowprops=dict(arrowstyle='<->'))\n",
    "plt.text(ldt_2_x_start + 0.4*(ldt_2_x_stop - ldt_2_x_start), ldt_2_y_start + 0.00008, \"$w_{ldt_{2}}$\")\n",
    "plt.text(ldt_2_x_start + 0.4*(ldt_2_x_stop - ldt_2_x_start), ldt_2_y_start + 0.0015, \"$ldt_{2}$\")\n",
    "plt.text(ldt_2_x_stop + 0.0001, ldt_2_y_stop + 0.5*(ldt_2_y_start - ldt_2_y_stop), \"$h_{ldt_{2}}$\")\n",
    "# plot/visualize ldt 1\n",
    "plt.plot([ldt_1_x_start, ldt_1_x_start], [ldt_1_y_stop, ldt_1_y_start], \"k--\")\n",
    "plt.annotate(text=\"\", xy=(ldt_1_x_stop, ldt_1_y_stop), xytext=(ldt_1_x_start, ldt_1_y_stop), arrowprops=dict(arrowstyle='<->'))\n",
    "plt.text(ldt_1_x_start + 0.4*(ldt_1_x_stop - ldt_1_x_start), ldt_1_y_stop + 0.00008, \"$w_{ldt_{1}}$\")\n",
    "plt.text(ldt_1_x_start + 0.4*(ldt_1_x_stop - ldt_1_x_start), ldt_1_y_stop + 0.0035, \"$ldt_{1}$\")\n",
    "plt.text(ldt_1_x_start + 0.0001, ldt_1_y_stop + 0.5*(ldt_1_y_start - ldt_1_y_stop), \"$h_{ldt_{1}}$\")\n",
    "# plot/visualize the bezier anchor coordinates\n",
    "# first 3 get names\n",
    "plt.scatter([bezier_coords_1D[0,0,0], bezier_coords_1D[1,2,0], bezier_coords_1D[2,0,0]],\n",
    "            [bezier_coords_1D[0,0,1], bezier_coords_1D[1,2,1], bezier_coords_1D[2,0,1]],\n",
    "            marker=\"*\", s=100)\n",
    "plt.text(bezier_coords_1D[0,0,0]-0.0025, bezier_coords_1D[0,0,1], \"$b_{2}$\")\n",
    "plt.scatter([bezier_coords_1D[0,1,0], bezier_coords_1D[1,1,0], bezier_coords_1D[2,1,0]],\n",
    "            [bezier_coords_1D[0,1,1], bezier_coords_1D[1,1,1], bezier_coords_1D[2,1,1]], \n",
    "            marker=\"*\", s=100)\n",
    "plt.text(bezier_coords_1D[0,1,0]-0.0002, bezier_coords_1D[0,1,1]+0.00015, \"$b$\")\n",
    "plt.scatter([bezier_coords_1D[0,2,0], bezier_coords_1D[1,0,0], bezier_coords_1D[2,2,0]],\n",
    "            [bezier_coords_1D[0,2,1], bezier_coords_1D[1,0,1], bezier_coords_1D[2,2,1]],\n",
    "            marker=\"*\", s=100)\n",
    "plt.text(bezier_coords_1D[0,2,0]+0.001, bezier_coords_1D[0,2,1], \"$b_{1}$\")\n",
    "plt.xlabel(\"G1' [V]\")\n",
    "plt.ylabel(\"G2' [V]\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "07307da1",
   "metadata": {},
   "source": [
    "**lengths of the LDTs**   \n",
    "len_left $:= w_{ldt_{2}}$   \n",
    "len_right $:= w_{ldt_{1}}$   \n",
    "\n",
    "**slopes for $ldt_1$ and $ldt_2$ (linear parts to the left and right of the bezier curve)**   \n",
    "slope_left $:= \\frac{h_{ldt_{2}}}{l_{ldt_{2}}}$   \n",
    "slope_right $:= \\frac{h_{ldt_{1}}}{l_{ldt_{1}}}$   \n",
    "\n",
    "**coordinates of the bezier anchor sitting on $ldt_{2}$ (left anchor of the first bezier curve)**   \n",
    "left_anchor_x $:= b_2[0]$   \n",
    "left_anchor_y $:= b_2[1]$   \n",
    "\n",
    "**coordinates of the bezier anchor sitting on $ldt_{1}$ (right anchor of the first bezier curve)**   \n",
    "right_anchor_x $:= b_1[0]$   \n",
    "right_anchor_y $:= b_1[1]$   "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9f56b7f1",
   "metadata": {},
   "source": [
    "### Rotation of TCTs into the actual voltage space"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "755bf155",
   "metadata": {},
   "source": [
    "Rotate the existing points by $ \\pi \\over 4$ (45°) using a SimCATS helper function and then plot the rotated points. This is the default orientation of the TCTs when simulating.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "c5e0bcb5",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:34.589986200Z",
     "start_time": "2023-12-12T15:00:34.411368400Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1500x900 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tct_rot = rotate_points(points=np.array([x_eval, y_values]).T, angle=-np.pi / 4)\n",
    "\n",
    "plt.plot(tct_rot[:, 0], tct_rot[:, 1], \"k\")\n",
    "plt.xlabel(\"G1' [V]\")\n",
    "plt.ylabel(\"G2' [V]\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "212a9a73",
   "metadata": {},
   "source": [
    "### Controlling the number of interdot transitions using the parameter max_peaks\n",
    "<a id=max_peaks></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "051d4dab",
   "metadata": {},
   "source": [
    "We will now change the maximal number of peaks and create and plot the new wavefront. The maximal number of peaks corresponds to the TCT identifier and scales linearly with the number of charges in the system (in the region next to the TCT). A TCT always features as many interdot transitions to the next/higher TCT as defined by max_peaks. The connection to the prior/lower TCT on the other hand consists of max_peaks - 1 interdot transitions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "8b6fc464",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:34.596703500Z",
     "start_time": "2023-12-12T15:00:34.592680100Z"
    }
   },
   "outputs": [],
   "source": [
    "max_peaks = 6  # change maximal number of peaks\n",
    "x_right_extended = x_right + 0.1  # move rightmost point further to the right to include all the peaks in the plot\n",
    "x_eval_max_peaks = np.linspace(x_left, x_right_extended, x_points_num, endpoint=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "09b231f1",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:34.651463100Z",
     "start_time": "2023-12-12T15:00:34.599393300Z"
    }
   },
   "outputs": [],
   "source": [
    "# calculation of the wavefront\n",
    "y_values_mak_peaks = tct_bezier(tct_params=specific_tct_params_single, x_eval=x_eval_max_peaks, max_peaks=max_peaks, lut_entries=lut_entries)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "557aa4fa",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:34.787905900Z",
     "start_time": "2023-12-12T15:00:34.652711700Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1500x900 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x_eval_max_peaks, y_values_mak_peaks, \"k\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "171ae2a2",
   "metadata": {},
   "source": [
    "### Generating further TCTs by shifting waveforms according to known interdot vector\n",
    "<a id='sec:shift_vec'></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a1ebda9a",
   "metadata": {},
   "source": [
    "If you can fit one waveform from experimental data and can also get the interdot vector from it you can get the next waveform (assuming its almost the same) by just shifting it. We will now assume, that we extracted the TCT with the ID 2 (separating the regions with a total number of 1 & 2 electrons) and a corresponding interdot vector. Based on this we will calculate the parameters of the TCT with ID 3."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "f27d8bca",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:34.843878500Z",
     "start_time": "2023-12-12T15:00:34.799282400Z"
    }
   },
   "outputs": [],
   "source": [
    "# lengths of the linear parts of the curve\n",
    "len_left = 0.01075474  # length left\n",
    "len_right = 0.01549732  # length right\n",
    "\n",
    "# slopes for left and right parts of the curve\n",
    "slope_left = 0.40341781  # slope left\n",
    "slope_right = -0.36136557  # slope right\n",
    "\n",
    "# coordinates of the left anchor of the first curve\n",
    "left_anchor_x = -0.04171389  # start position x (bezier curve leftmost point)\n",
    "left_anchor_y = -0.16351316  # start position y (bezier curve leftmost point)\n",
    "\n",
    "# coordinates of the right anchor of the first curve\n",
    "right_anchor_x = -0.04012621  # start position x (bezier curve rightmost point)\n",
    "right_anchor_y = -0.16343108  # start position y (bezier curve rightmost point)\n",
    "\n",
    "# tct_params (np.ndarray): Numpy array containing all required parameters to describe the TCT form.\n",
    "specific_tct_params_w2 = np.array(\n",
    "    [len_left, len_right, slope_left, slope_right, left_anchor_x, left_anchor_y, right_anchor_x, right_anchor_y]\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "66dff3da",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:34.845387Z",
     "start_time": "2023-12-12T15:00:34.820730800Z"
    }
   },
   "outputs": [],
   "source": [
    "max_peaks = 2  # maximal number of peaks\n",
    "lut_entries = 1000  # size of lookup table\n",
    "x_points_num = 10000  # number of x points to evaluate\n",
    "x_left = left_anchor_x - 0.015  # leftmost x point to evaluate\n",
    "x_right = right_anchor_x + 0.005 # rightmost x point to evaluate\n",
    "rotation = 0  # rotation of the transition/bezier line"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "c47bedec",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:34.852954700Z",
     "start_time": "2023-12-12T15:00:34.835088800Z"
    }
   },
   "outputs": [],
   "source": [
    "interdot_vec = np.array([0.0004379547320730603, 0.0036572355686439514]) # get interdot_vec from experimental data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c60bb22",
   "metadata": {},
   "source": [
    "Define x values to evaluate waveforms for."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "d6713c6e",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:34.856031400Z",
     "start_time": "2023-12-12T15:00:34.848160700Z"
    }
   },
   "outputs": [],
   "source": [
    "x_w2 = np.linspace(x_left, x_right, x_points_num, endpoint=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "05b19a37",
   "metadata": {},
   "source": [
    "Evaluate initial waveform."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "5f973b09",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:34.910306800Z",
     "start_time": "2023-12-12T15:00:34.854777Z"
    }
   },
   "outputs": [],
   "source": [
    "y_w2 = tct_bezier(tct_params=specific_tct_params_w2, x_eval=x_w2, max_peaks=max_peaks, lut_entries=lut_entries)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "10bb0d0e",
   "metadata": {},
   "source": [
    "Get coordinates of the bezier anchors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "88340ea5",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:34.922911900Z",
     "start_time": "2023-12-12T15:00:34.912967700Z"
    }
   },
   "outputs": [],
   "source": [
    "# get all the bezier anchors, including the middle ones, that are not defined directly\n",
    "bezier_coords_w2 = calculate_all_bezier_anchors(tct_params=specific_tct_params_w2, max_peaks=max_peaks, rotation=rotation)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "45f04bdf",
   "metadata": {},
   "source": [
    "Find central bezier anchor of first peak."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "1e8bfc55",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:34.925547100Z",
     "start_time": "2023-12-12T15:00:34.920280600Z"
    }
   },
   "outputs": [],
   "source": [
    "center_bezier_anchor = bezier_coords_w2[2][0][1][0], bezier_coords_w2[2][0][1][1] # x coordinate of center anchor of first peak, y coordinate of center anchor of first peak"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "83bdbd33",
   "metadata": {},
   "source": [
    "Find central bezier anchor of first peak, shifted down to the waveform."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "3de88944",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:34.976380100Z",
     "start_time": "2023-12-12T15:00:34.928173Z"
    }
   },
   "outputs": [],
   "source": [
    "center_bezier_anchor_with_tunnel_coupling = center_bezier_anchor[0], tct_bezier(tct_params=specific_tct_params_w2, x_eval=center_bezier_anchor[0], max_peaks=max_peaks, lut_entries=lut_entries)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "790a4709",
   "metadata": {},
   "source": [
    "Calculate the distance between both center anchors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "b77789b8",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:34.989179300Z",
     "start_time": "2023-12-12T15:00:34.977688800Z"
    }
   },
   "outputs": [],
   "source": [
    "# calculate the distance from this point to the central bezier anchor\n",
    "dist_between_center_with_and_without_tunnel = np.linalg.norm([center_bezier_anchor_with_tunnel_coupling[0]-center_bezier_anchor[0], center_bezier_anchor_with_tunnel_coupling[1]-center_bezier_anchor[1]])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bae6e425",
   "metadata": {},
   "source": [
    "Initial interdot vector is between the central anchors with tunnel coupling of both waveforms, but we need the distance between the anchors without tunnel coupling.    \n",
    "To do this reduce the length of the interdot vector by two times the distance of the central bezier anchor to the curve (`dist_between_center_with_and_without_tunnel`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "58c0bf6f",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:34.991898500Z",
     "start_time": "2023-12-12T15:00:34.986675800Z"
    }
   },
   "outputs": [],
   "source": [
    "interdot_vec_without_tunnel = interdot_vec * (np.linalg.norm(interdot_vec) - 2 * dist_between_center_with_and_without_tunnel) / np.linalg.norm(interdot_vec)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f0a99c2b",
   "metadata": {},
   "source": [
    "Calculate the corresponding shift vector for the bezier anchors of the shifted waveform."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "345ca6ea",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:35.008157400Z",
     "start_time": "2023-12-12T15:00:34.995772900Z"
    }
   },
   "outputs": [],
   "source": [
    "shift_vec = np.array([- len_right + interdot_vec_without_tunnel[0], - len_right * slope_right + interdot_vec_without_tunnel[1]])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "479f71a7",
   "metadata": {},
   "source": [
    "Set up shifted wave form parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "7ebc3fb1",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:35.012124900Z",
     "start_time": "2023-12-12T15:00:35.004485200Z"
    }
   },
   "outputs": [],
   "source": [
    "specific_tct_params_w3 = specific_tct_params_w2.copy()\n",
    "specific_tct_params_w3[4] += shift_vec[0]\n",
    "specific_tct_params_w3[5] += shift_vec[1]\n",
    "specific_tct_params_w3[6] += shift_vec[0]\n",
    "specific_tct_params_w3[7] += shift_vec[1]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a33ff262",
   "metadata": {},
   "source": [
    "Calculate shifted waveform."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "804f04a3",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:35.020873Z",
     "start_time": "2023-12-12T15:00:35.013422400Z"
    }
   },
   "outputs": [],
   "source": [
    "max_peaks_w3 = max_peaks+1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "098f15fb",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:35.104768100Z",
     "start_time": "2023-12-12T15:00:35.023534100Z"
    }
   },
   "outputs": [],
   "source": [
    "y_w3 = tct_bezier(tct_params=specific_tct_params_w3, x_eval=x_w2, max_peaks=max_peaks_w3, lut_entries=lut_entries)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bee4af34",
   "metadata": {},
   "source": [
    "Get coordinates of the bezier anchors for the second waveform."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "4d88b1cb",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:35.111326200Z",
     "start_time": "2023-12-12T15:00:35.107434200Z"
    }
   },
   "outputs": [],
   "source": [
    "# get all the bezier anchors, including the middle ones, that are not defined directly\n",
    "bezier_coords_w3 = calculate_all_bezier_anchors(tct_params=specific_tct_params_w3, max_peaks=max_peaks_w3, rotation=rotation)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a34cc5a2",
   "metadata": {},
   "source": [
    "Define variables to define the first lead to dot transition of the second waveform."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "a7a05e8c",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:35.121527300Z",
     "start_time": "2023-12-12T15:00:35.115108600Z"
    }
   },
   "outputs": [],
   "source": [
    "ldt_1_x_start = bezier_coords_w3[3][0][1][0]  # x coordinate of center anchor of first peak\n",
    "ldt_1_x_stop = bezier_coords_w3[3][1][1][0]  # x coordinate of center anchor of first valley\n",
    "ldt_1_y_start = bezier_coords_w3[3][0][1][1]  # y coordinate of center anchor of first valley\n",
    "ldt_1_y_stop = bezier_coords_w3[3][1][1][1]  # y coordinate of center anchor of first valley"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "27fbc34a",
   "metadata": {},
   "source": [
    "Plot and visualize the original and shifted waveform and how the waveform was shifted."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "85483440",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:35.399948500Z",
     "start_time": "2023-12-12T15:00:35.127871700Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1500x900 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "marker_size = 5\n",
    "\n",
    "# plot both waveforms\n",
    "plt.plot(x_w2, y_w2, label=\"original waveform w1\")\n",
    "plt.plot(x_w2, y_w3, label=\"shifted waveform w2\")\n",
    "# plot center anchor of first peak of w1 with and without tunnel coupling\n",
    "plt.scatter(center_bezier_anchor_with_tunnel_coupling[0], center_bezier_anchor_with_tunnel_coupling[1], label=\"center anchor of first peak of w1 with tunnel coupling\", s= marker_size)\n",
    "plt.scatter(center_bezier_anchor[0], center_bezier_anchor[1], label=\"center anchor of first peak of w1 without tunnel coupling \",s= marker_size)\n",
    "# plot center anchor of first valley of w2 with and without tunnel coupling\n",
    "plt.scatter(center_bezier_anchor_with_tunnel_coupling[0]+interdot_vec[0], center_bezier_anchor_with_tunnel_coupling[1]+interdot_vec[1], label=\"center anchor of first valley of w2 with tunnel coupling \",s= marker_size)\n",
    "plt.scatter(center_bezier_anchor[0]+interdot_vec_without_tunnel[0], center_bezier_anchor[1]+interdot_vec_without_tunnel[1], label=\"center anchor of first valley of w2 without tunnel coupling \",s= marker_size)\n",
    "# plot center anchor of first peak of w2 with and without tunnel coupling\n",
    "plt.scatter(bezier_coords_w3[3][0][1][0], bezier_coords_w3[3][0][1][1], label=\"center anchor of first peak of w2 without tunnel coupling \",s= marker_size)\n",
    "# plot interdot transition vector\n",
    "plt.annotate(text=\"\", xy=(center_bezier_anchor_with_tunnel_coupling[0], center_bezier_anchor_with_tunnel_coupling[1]), xytext=(center_bezier_anchor_with_tunnel_coupling[0]+interdot_vec[0], center_bezier_anchor_with_tunnel_coupling[1]+interdot_vec[1]), arrowprops=dict(arrowstyle='<->'))\n",
    "plt.text(center_bezier_anchor_with_tunnel_coupling[0]+ 0.0005, center_bezier_anchor_with_tunnel_coupling[1] + 0.002, \"$idt$\")\n",
    "# plot/visualize ldt 1|\n",
    "plt.annotate(text=\"\", xy=(ldt_1_x_start, ldt_1_y_stop), xytext=(ldt_1_x_start, ldt_1_y_start), arrowprops=dict(arrowstyle='<->'))\n",
    "plt.annotate(text=\"\", xy=(ldt_1_x_stop, ldt_1_y_stop), xytext=(ldt_1_x_start, ldt_1_y_stop), arrowprops=dict(arrowstyle='<->'))\n",
    "plt.text(ldt_1_x_start + 0.4*(ldt_1_x_stop - ldt_1_x_start), ldt_1_y_stop + 0.0003, \"$w_{ldt_{1}}$\")\n",
    "plt.text(ldt_1_x_start + 0.0001, ldt_1_y_stop + 0.5*(ldt_1_y_start - ldt_1_y_stop), \"$h_{ldt_{1}}$\")\n",
    "# plot shift vector\n",
    "plt.annotate(text=\"\", xy=(center_bezier_anchor[0], center_bezier_anchor[1]), xytext=(bezier_coords_w3[3][0][1][0], bezier_coords_w3[3][0][1][1]), arrowprops=dict(arrowstyle='<->'))\n",
    "plt.text(center_bezier_anchor[0] + 0.5*(bezier_coords_w3[3][0][1][0]-center_bezier_anchor[0]), center_bezier_anchor[1] + 0.5*(bezier_coords_w3[3][0][1][1]-center_bezier_anchor[1]), \"$s$\")\n",
    "\n",
    "plt.legend(bbox_to_anchor=(1.05, 1.0), loc='upper left')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4b1d2aba",
   "metadata": {},
   "source": [
    "**interdot transition**   \n",
    "$\\vec{idt} := $  interdot_vec_without_tunnel\n",
    "\n",
    "**lengths of LDT 1**   \n",
    "$\\vec{w_{ldt_{1}}} := \\begin{pmatrix}len\\_right \\\\ 0\\end{pmatrix}$\n",
    "\n",
    "\n",
    "**height of LDT1**   \n",
    "$\\vec{h_{ldt_{1}}} := \\begin{pmatrix}0 \\\\ |len\\_right \\cdot slope\\_right|\\end{pmatrix} $\n",
    "\n",
    "**shift vector between the center anchors (of the first peak) of w1 and w2**   \n",
    "$\\vec{s} := \\vec{idt} + \\vec{w_{ldt_{1}}} + \\vec{h_{ldt_{1}}}$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "49c01907",
   "metadata": {
    "tags": []
   },
   "source": [
    "## 2D simulation\n",
    "\n",
    "We will now have a look at the 2D simulation using TCTs. First, we will go through the algorithm step by step. Then, we will have a look at the function that allows us to carry out a simulation with a single function call."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4bf9e496",
   "metadata": {},
   "source": [
    "#### Step by step"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3acb166a",
   "metadata": {},
   "source": [
    "Run a two dimensional simulation without the simulation class to show what the class does internally."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b71f261e",
   "metadata": {},
   "source": [
    "##### Set up lead transitions"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "07cb1826",
   "metadata": {},
   "source": [
    "Get all the wavefronts instead of just a specific one. Before we accessed only one specific TCT of the default config. This time we use the whole list."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "bee585dd",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:35.414108400Z",
     "start_time": "2023-12-12T15:00:35.401214500Z"
    }
   },
   "outputs": [],
   "source": [
    "specific_tct_params = default_configs[\"GaAs_v1\"][\"ideal_csd_config\"].tct_params"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d5c86b83",
   "metadata": {},
   "source": [
    "Define our maximum number of peaks, rotation and cdf type. The wavefronts are usually defined in a voltage space that is rotated by 45 degrees."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "16e31ba0",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:35.415342800Z",
     "start_time": "2023-12-12T15:00:35.407612200Z"
    }
   },
   "outputs": [],
   "source": [
    "max_peaks = 1\n",
    "rotation = -np.pi / 4\n",
    "cdf_type = \"sigmoid\""
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b55f5954",
   "metadata": {},
   "source": [
    "Define our sweep ranges and resolution and initialize the lead transition array."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "0f107e1f",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:35.475320200Z",
     "start_time": "2023-12-12T15:00:35.415342800Z"
    }
   },
   "outputs": [],
   "source": [
    "sweep_range_g1 = np.array([-0.175, -0.1])\n",
    "sweep_range_g2 = np.array([-0.15, -0.075])\n",
    "resolution = np.array([100, 100])\n",
    "\n",
    "# Initialize an empty numpy array which will be used to store the lead-dot transition line mask\n",
    "csd_transitions_2d = np.zeros(resolution[::-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "708b2641",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:35.476710800Z",
     "start_time": "2023-12-12T15:00:35.433674800Z"
    }
   },
   "outputs": [],
   "source": [
    "# retrieve partially initialized wavefront functions\n",
    "wf_functions = initialize_tct_functions(tct_params=specific_tct_params, max_peaks=max_peaks)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "46c31612",
   "metadata": {},
   "source": [
    "Retrieve all bezier anchors of the wavefronts (required for the occupation calculation).  This time the dictionary will contain more than one key and value."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "ba4c02f5",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:35.477953800Z",
     "start_time": "2023-12-12T15:00:35.443491100Z"
    }
   },
   "outputs": [],
   "source": [
    "# retrieve all bezier anchors of the wavefronts (required for the occupation calculation) and\n",
    "# usually defined in a voltage space that is rotated by 45 degrees\n",
    "bezier_coords = calculate_all_bezier_anchors(tct_params=specific_tct_params, max_peaks=max_peaks, rotation=rotation)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "37ff0ef5",
   "metadata": {},
   "source": [
    "The 2D simulation expects the voltages to be sorted from min to max. If this is not the case, the voltages are sorted here and afterward the image is rearranged.   \n",
    "In the 2D case the transition line mask is used to calculate the occupations in a more efficient way."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "c444b1b8",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:36.611846300Z",
     "start_time": "2023-12-12T15:00:35.452761300Z"
    }
   },
   "outputs": [],
   "source": [
    "csd_transitions_2d = generate_lead_transition_mask_2d(\n",
    "    csd=csd_transitions_2d,\n",
    "    volt_limits_g1=np.sort(sweep_range_g1),\n",
    "    volt_limits_g2=np.sort(sweep_range_g2),\n",
    "    tct_functions=wf_functions,\n",
    "    rotation=rotation,\n",
    "    lut_entries=lut_entries,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fd449eb5",
   "metadata": {},
   "source": [
    "Plot the lead transitions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "9db17196",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:36.613843600Z",
     "start_time": "2023-12-12T15:00:36.581963Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1500x900 with 2 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plot_csd(csd=csd_transitions_2d, volt_limits_g1=sweep_range_g1, volt_limits_g2=sweep_range_g2, title=\"Lead Transitions\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "42fe41a7",
   "metadata": {},
   "source": [
    "##### Calculate occupations using the lead transition mask\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "418ae656",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:38.008659400Z",
     "start_time": "2023-12-12T15:00:36.589692800Z"
    }
   },
   "outputs": [],
   "source": [
    "# calculate the occupations\n",
    "csd_occupations = get_electron_occupation(\n",
    "    csd=csd_transitions_2d,\n",
    "    volt_limits_g1=np.sort(sweep_range_g1),\n",
    "    volt_limits_g2=np.sort(sweep_range_g2),\n",
    "    bezier_coords=bezier_coords,\n",
    "    tct_functions=wf_functions,\n",
    "    rotation=rotation,\n",
    "    lut_entries=lut_entries,\n",
    "    cdf_type=cdf_type,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8f3bfd1a",
   "metadata": {},
   "source": [
    "Plot the occupation of the two dots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "baa6736a",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:38.571930600Z",
     "start_time": "2023-12-12T15:00:38.012420600Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1500x900 with 2 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 1500x900 with 2 Axes>",
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABEMAAAN1CAYAAACU2DXcAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAABcSAAAXEgFnn9JSAAClOElEQVR4nOzdd3RU1fr/8c9JQhIgJCSE3osSCIKC+AVBqkiTIgICShULqCBcuyIgtitS9VrpXFSUYkERBUFAQECkRQ1FWijSUiQhCcmc3x/8MpeYzEzKTGYy836tddaCs8t5JhkxeWY/exumaZoCAAAAAADwEX7uDgAAAAAAAKAokQwBAAAAAAA+hWQIAAAAAADwKSRDAAAAAACATyEZAgAAAAAAfArJEAAAAAAA4FNIhgAAAAAAAJ9CMgQAAAAAAPgUkiEAAAAAAMCnkAwBAAAAAAA+hWQIAAAAAADwKSRDAAAAAACATyEZAgAAAAAAfArJEAAAAAAA4FNIhgAA4EHatWsnwzA0adIkd4dS5L788kt16NBB4eHh8vPzk2EYevzxx90dFgAA8EIB7g4AAOA+qampWrhwoVatWqU9e/bo3LlzCgwMVJUqVXTbbbdp4MCBat++vbvD9Aqff/65du/erRtvvFG9e/d2dzgeZ/ny5erbt68kyc/PT5GRkfLz81NoaGiexi9YsEDDhw/Pcb906dIKDQ1VlSpVdNNNN6l169bq27evSpcu7dT4r5WVyBo2bJhq1apVoDlM09S2bdv09ddfa/Pmzfr999918eJFlSpVSvXq1dMdd9yhRx99VFWrVnVe4AAA+BDDNE3T3UEAAIre999/rxEjRiguLs56LzQ0VGlpaUpLS7Pe69q1qxYvXqxy5cq5I0yvMWzYMC1cuFBDhw7VggULbPYbMmSItm/frkcffVSPPvpo0QXoZi1atNDPP/+su+++W4sWLVKpUqXyNf7aZEhkZKT8/f0lSenp6UpMTJTFYrH2DQkJ0ZNPPqnnnntOAQHO/1zIMAxJ0vr169WuXbsCzfHKK6/ohRdeyDZnWFiYEhMTlfWjW2hoqBYvXqyePXsWOmYAAHwNZTIA4IM+/fRTdevWTXFxcapatarmzJmjixcvKjExUampqfr999/1+OOPKyAgQKtXr1aLFi109uxZd4ftExYtWqQ//vjDpxIhkrRv3z5JV5NG+U2E/NOOHTt05swZnTlzRhcvXlRGRob++OMPvffee7rhhht06dIlTZw4UZ06dcqW+PMkV65cUWhoqB5++GH98MMPSk5OVnx8vJKTk7V8+XLVqFFDSUlJ6tevn37//Xd3hwsAQLFDMgQAfMwff/yhESNGKCMjQzfccIN+/fVX3X///QoPD7f2iYqK0owZM/TFF18oMDBQhw4d0qBBg9wYNbxdSkqKpKurNpzNMAzVr19fDz30kH799VeNHz9ekrRhwwaNGTPG6c9zht69e+vo0aN699131b59e5UsWVKSVLJkSfXp00cbNmxQyZIllZ6ermnTprk5WgAAih+SIQDgY55//nklJycrKChIn332mcqXL2+zb7du3axL9detW6evv/7aZt/vvvtOAwYMUM2aNVWyZElFRESocePGeuyxx7R169Zcx6Snp2vOnDnq0qWLKlasqKCgIFWuXFktW7bUSy+9pCNHjmTrn5fNRSdNmiTDMHItT7h2fHp6ul5//XU1btxYpUuXVnh4uDp16qTVq1fbnPvs2bOaN2+e+vTpowYNGigsLEwlS5ZUvXr1NHLkSMXExOQYs2HDBhmGoYULF0qSFi5cKMMwsl0bNmzI12tcsWKF7rzzTlWsWFGBgYGqWLGi7rzzTq1cudLmmGHDhskwDA0bNkyStGzZMrVr104REREqVaqUbrzxRs2aNStbOUlBbNiwQf369VPVqlUVFBSkyMhIdezYUfPnz1dmZma2vkePHrV+DbK0b98+29fG2fz9/TVt2jR1795dkjR37lzFxsbm2jcxMVEvvfSSmjZtqtDQUJUsWVLXXXedRo0apT///DNH/6yvsa3Xkp/9Q2688cZsCcp/ql27tnU/nx07duR5XgAA8P+ZAACfcerUKdPPz8+UZA4bNixPY/7++2+zTJkypiSza9euOdqTk5PNfv36mZKsV5kyZcygoCDr35s0aZJj3J9//mk2atTI2scwDLNs2bKmv7+/9d7YsWOzjWnbtq0pyZw4caLNeCdOnGhKMtu2bZujLWv8s88+a952222mJDMgIMAsW7ZstvhtzT906NBs/UJDQ82AgADr34OCgsxly5ZlG/PTTz+ZFStWNIODg01JZnBwsFmxYsVs108//ZSn15iWlmbec8891uf5+fmZ4eHh1u+pJHPgwIFmenq6zdiHDh1qPvLII9bx/3ztQ4YMsfm1dWTcuHF2v58dOnQwk5KSrP2PHz9u/Rpk9QkPD8/2tcmr+fPnW+c4cuSIw/47duyw9p8wYUKO9v3795vVqlWz9gkODrb+d2Drez1mzBi7r+Xmm2/O8+vJiz59+piSzOjoaKfOCwCAL2BlCAD4kA0bNlg/+b/77rvzNCYkJER33HGHJGnTpk3KyMjI1j58+HB99tln8vPz09NPP60TJ04oKSlJly9fVlxcnJYsWaKWLVtmG5OUlKTOnTtr//79Cg8P1wcffKD4+HjFx8fr8uXLio2N1bRp01SzZk0nvOqc3nnnHW3fvl3vvfee/v77b8XHx+v48ePW00wmT56sL7/8Mse42rVr64UXXtCvv/6qS5cuKTExUWlpadq/f7/uvfdepaWlaejQoTp16pR1zK233qozZ87onnvukSTdc8891v0ssq5bb701T3E/99xzWrp0qQzD0IQJE3ThwgVdvHhR58+f13PPPSdJ+vjjjzVhwgSbc3z55Zf68MMPNX36dOvX/Pz58xo5cqSkq3uW/PDDD3n7Ql7j7bff1owZMyRJDz74oE6dOqX4+HglJiZqxowZCggI0A8//KAHHnjAOqZ69erWr0GWFStWZPvauMrNN9+sihUrSpJ+/PHHbG1///23evToYd1T5+uvv1ZycrKSkpK0e/dutWjRQmlpabr33nu1Z88e67hZs2bZfS3OXMFx5coV/fTTT5KkG264wWnzAgDgM9ydjQEAFJ3nn3/e+ql1XFxcnsdNmTLFOu7QoUPW+2vXrrXef+edd/I83wsvvGD9dH3Xrl15HueslSGSzLlz5+Zoz8zMNNu0aWNKMhs2bJjnuLJ0797dlGROmTIlR9u1KzPssfUa4+LirKtQnn322VzHjh8/3pRklihRwjx16lSuz5dkzp8/P9fxzZo1MyWZI0eOtBvjP6WkpJgRERHWlSm5mT17tvX5O3bsyNGe1bZ+/fp8PTtLfleGmKZpdurUyZRkVq1aNdv9119/3fp13LdvX45xSUlJZq1atUxJZvfu3XO0F/a15EVWjJLMdevWuew5AAB4K1aGAIAPuXDhgvXP+TkqNzIyMtc55s2bJ0mKjo7WqFGj8jxf1riRI0fqpptuyvM4Z6levbr1GNZr+fn5WfdI+e2336wnnORV1j4UmzdvLnyQ/7B8+XJlZGQoODhYzzzzTK59XnjhBQUFBenKlStatmxZrn2qV6+uIUOG5NqWdUTr3r178xXb999/r4sXL0qSzb1ORo8ercqVK0u6unrFE0REREiSNfYsS5culST17dtXjRo1yjGuTJkyeuqppyRJq1evVmJioosjzW7z5s168cUXJUkDBw5Uhw4divT5AAB4A5IhAACHTNPM9f6WLVskST169MjzXMeOHbOWkeRnnDNlbVKamzZt2iggIECStHPnzhzte/bs0ejRo9W4cWOFhobKz8/PukHm6NGjJUlxcXFOjzkrlubNmys0NDTXPuHh4br55pttxp413s8v9//9V6lSRVLO5EBeY6tevbquv/76XPv4+/tbf2m3FVtRy+19nZ6ebk0G3X777TbHdurUSZJksVi0a9cu1wSYiz/++EN9+vRRenq6oqOj9f777xfZswEA8CYB7g4AAFB0rl0NcuHCBVWtWjVP42ytKMnaHyE/e3tcu6eCq/YEccTe6w4KClK5cuX0119/6ezZs9na3n77bY0dO9a674phGAoLC1NQUJAk6fLly0pKSlJycrLTY86KxdH3rFq1atn6/1OZMmVsjs1KAl25csUtsRW1+Ph4Sdnf0xcvXrSeemPv9WS9FqnoXs+BAwfUoUMHnTt3TvXr19fatWvtfj8BAIBtrAwBAB/SsGFD65/z82n2r7/+KunqZqrXJjCyVlcU9AhUVxyd6qrn/v7773r88cdlsVjUr18/bd++XampqYqPj7dukDl9+nRJtlfSOENeY3fH19aTY8tN1gqQunXr5tpuL85r24ri9Rw4cEDt27fX6dOndf3112v9+vWqVKmSy58LAIC3IhkCAD6kffv21hKJ5cuX52nMpUuX9P3330uSbrvtNuvqAUnWX8aOHj2a5xiy9o3I7zjpfysXUlNTbfbJy/4N9spY0tLSrCthKlSoYL2/bNkyZWZmqkGDBvrkk0/UvHlzBQYGZhvrytNPsmI5ceKE3X5Zr618+fIui+WfPDk2W3bu3Km//vpL0tWyqSwRERHy9/eXZP/1XNvm6teTlQg5deqUrrvuOq1fvz7bf0cAACD/SIYAgA+pXLmyevXqJUn65JNPFBsb63DMjBkz9Pfff0uSdU+MLFlHwn711Vd5jqFGjRrWEoP8jJOu7okh2f8l9eeff3Y4z48//mhz9ca1xwdn7b9x7TObNGlic8+NtWvX2nxm1piCrhq5di8QWwmfhISEbHuLFJWs2OLi4nTgwIFc+2RmZmr9+vVFHpstkydPlnR1L5N7773Xej8wMFCNGzeWJK1bt87m+KzvtZ+fn5o2bZqtLWuliDNWCB04cEDt2rWzJkI2bNhg3dsFAAAUHMkQAPAxU6ZMUcmSJZWWlqZ+/frp/PnzNvuuXr1aL7/8sqSrq0qyTkvJcv/990uSYmJi9O677+Y5hhEjRkiS5syZYy3ByYsmTZpIktasWZPrvhw//PCDtm7d6nCe48ePa+HChTnuWywWvfrqq5KkBg0a6IYbbrC2hYWFSZL27duX6y+5q1ev1oYNG2w+M2vT04SEBIfx5ebuu+9WQECAUlNT9e9//zvXPq+++qrS0tJUokQJ3X333QV6TkF06tTJuu+GrdNk3n//fevGuQMHDiyq0HLIzMzUv/71L61atUqS9MADD+i6667L1mfAgAGSrq4G2r9/f445Ll26pDfeeEOS1K1bN+t7I0thv9dZshIhWaUxJEIAAHAiNx7rCwBwkyVLlpj+/v6mJLNatWrm3Llzzfj4eGt7bGysOW7cODMgIMCUZNapU8c8ffp0rnMNGDDAlGT6+fmZzzzzjHnixAnTNE3TYrGYJ0+eND/88ENzxIgR2cYkJSWZ1113nSnJDA8PNz/44AMzMTHRNE3TTE9PN2NjY83JkyebU6dOzTYuNjbW9PPzMyWZPXr0sD4rJSXFXLBggRkaGmpGRESYksy2bdvmiLVt27amJDMsLMwMDg42P/jgA/Py5cumaZrm8ePHzf79+5uSTEnmihUrso1du3attW3UqFHmhQsXTNM0zUuXLpnvvfeeWapUKbNcuXKmJLNmzZo5nv3hhx9aX+/vv/9u4zvzvxgnTpyYo+1f//qXKck0DMN88cUXrd+z+Ph484UXXrDG9/TTT+cYO3ToUFOSOXToUJvPnj9/vs34HXnrrbesz3/ooYfMM2fOmKZpmsnJyebs2bPNEiVKmJLMe+65J9fxWWPXr1+f72dfG7sk88iRI9naLBaLeeDAAfP99983GzdubO3XoUMHMy0tLcdcSUlJZu3ata3/fXzzzTdmZmamaZqmuXfvXvPWW281JZmBgYHm7t27c4xv1aqVKcm8++67zeTk5AK9noMHD5pVqlQxJZn169c3T506VaB5AABA7kiGAICPWr16tfWXrawrK0lw7b077rjDPHv2rM15kpOTzT59+mQbExoaagYFBVn/3qRJkxzjDh8+bDZs2NDax8/PzwwPD7cmaSSZY8eOzTFuwoQJOWLOStr07t3bmhSwlwx59tlnzdatW5uSzBIlSpjh4eHZ5nzhhRdyfa1ZiZ+sq2zZstZ4mzVrZk0I5JZMuHjxolm+fHnr2MjISLNmzZpmzZo1za1bt+aIMbdkSFpaWraETdbXLCtBJMkcOHCgmZ6enmOsq5Mhpmma48aNs8ZhGIYZHh5u/d5IMtu3b28mJSXlOtaZyZDIyEizYsWKZsWKFc2IiIhs7ylJZpkyZcyXX37ZvHLlis359u3bZ1atWtU6Jjg42AwNDbX+PSgoyPzss89yHbt48WJrvxIlSphVq1Y1a9asabZq1SrPr2f48OHZ/nvKej22LgAAkD+UyQCAj+rSpYsOHTqkd955R127dlXVqlWVmpqqEiVK6Prrr9f999+vtWvXas2aNXY3iCxVqpSWL1+uVatW6a677lKVKlWUmpqqkJAQNW7cWGPGjNEHH3yQY1ydOnX066+/6p133lG7du0UHh6uS5cuqWLFimrZsqWmTJmicePG5Rj30ksvafHixWrRooVKly6tzMxM3XjjjXrvvfe0YsUK6+aX9gQGBmrdunV69dVXVb9+faWlpSksLEwdO3bU119/rSlTpuQ6bsmSJZo5c6YaN26soKAgZWZm6oYbbtBrr72mn376SSEhITafGR4ero0bN2rAgAGqWrWqEhMTdezYMR07dszuhrD/jHvp0qVavny5unbtqnLlyunvv/9WuXLl1LVrV61YsUIfffSRSpQokaf5nG369On64YcfdPfdd6tixYq6dOmSypQpo/bt22vevHn6/vvvi+Qo2PPnz+uvv/7SX3/9pdTUVJUvX17NmjXT/fffr4ULF+r06dN6/vnns20G/E+NGjVSTEyMJk2apBtvvFEBAQFKS0tT3bp19fDDDysmJkZ9+/bNdex9992nxYsXq3Xr1ipVqpROnz6tY8eO2d2495+yjm+WpKSkJOvrsXUBAID8MUzThef/AQDgQdq1a6cff/xREydOtLm3BQAAALwfK0MAAAAAAIBPIRkCAAAAAAB8CskQAAAAAADgU0iGAAAAAAAAn8IGqgAAAAAAwKewMgQAAAAAAPgUkiEAAAAAAMCneG0yZMuWLerWrZsiIiIUEhKiW265RQsXLizwfKtWrVLbtm0VFham0NBQtW3bVqtWrcq177Bhw2QYhsPr+PHj2cbVqlXLbv8//vijwPEDAAAAAICrAtwdgCusXLlS/fr1k8ViUZs2bRQZGal169Zp2LBh2rNnj6ZPn56v+WbPnq2xY8cqICBAt99+u4KCgvTdd9+pR48emjVrlsaMGZOtf+vWrW3OFRsbq23btqlmzZqqXr16rn2GDh2a6/2wsLB8xQ0AAAAAAHLyug1U4+PjVbt2bSUmJmr58uXq06ePJOmvv/5S69atdejQIf3www9q3759nuY7cOCAoqOj5e/vr/Xr16tly5bW+7feeqsSExP122+/6brrrsvTfPfcc48+/fRTPf/883r55ZeztdWqVUvHjh2Tl31LAAAAAADwKF5XJjNnzhwlJiaqV69e1kSIJFWsWFFvvPGGJOVrZcisWbOUkZGhhx9+2JoIkaTrr79ezz//vDIyMjR79uw8zZWUlKSvvvpKknTfffflOQYAAAAAAOA8XrcypG3bttq4caMWL16cI+GQnp5uLTWJj49XcHCww/lq1qyp48ePa9OmTTnKX+Li4lS9enXVrFlTR48edTjX/PnzNWLECDVv3lzbt2/P0V4UK0MqVaqk5ORk1ahRw2XPAAAAAFB0jh8/rtKlS+vMmTPuDsUj9ezZU4cPH3Z3GLmqW7euvvzyS3eH4ZO8bs+QvXv3SpKaNm2aoy0wMFCNGjXSzp07FRsbqyZNmtidKyEhwbrJ6U033ZSjvVq1aoqMjNSxY8eUmJjocE+P//73v5IcrwqZOnWqDh8+rKCgIEVHR+uuu+5S+fLl7Y7Jq+TkZCWnXNafJy84Zb78yCxjKfJnAgBsCw+6bLfdIsNmm2nabnM0VpIsdsabDsaGByTbbQeQnSGv+uzT5Rz9G+RKpe082mLn+5iefsUF0XiPw4cP69Ch31WvVgl3h5LNoaN839zJq5IhSUlJSkhIkHQ1UZGbatWqaefOnTp+/LjDZEhWIiQ8PFylS5e2Od/58+d1/Phx3XDDDTbnOnnypDZs2KCAgAANGDDA7nOfeuqpbH8fN26cZs+erfvvv9/uuLyoUaOG/jx5QY16P+W4s5PFd00p8mcCAGy7v9EWu+0plkDbbZm22yTpsoP2ZDvtlzPt/7A6uvIPdtsBZOcvPpDKj0w37iTQxs7C9RRLus225u1Pyy+Ald/21KtVQvt+rOnuMLK5oe0xd4fg07wqGXLp0iXrn0uVKpVrn6ykxrV9Hc1na678zLdkyRJZLBZ17dpVFSpUyLVPz5491b59ezVr1kzly5fXn3/+qXnz5mnWrFkaOXKkypUrp969ezuMW5Kio6NzvX/48GEZwWXzNAcAAAAAeAdTFo9LDLJqy528KhmSl7028rMfR1Zfw7C3TDhv82WVyAwePNhmn39uxBodHa1p06apfv36euihh/T000/nORkCAAAAAAByV+ySIcOGDctxr3fv3urdu7fKlCljvZeSkqLQ0NAcfVNSrpZqhISEOHxW1nzJybZrk/My3759+7Rv3z6FhoaqZ8+eDp/7TyNHjtSECRN04MABHTlyRLVr13Y4JiYmJtf70dHRbtkvBAAAAAAAT1HskiELFy7Mca9WrVrq3bu3QkNDFRYWpsTERMXFxalhw4Y5+sbFxUlSnk5TyeoTHx+v5OTkXPcNyct8ixcvliTdfffdKlmypMPn/pOfn5/q1q2rs2fP6vTp03lKhgAAAAAArjIlZZqeVSZjSm7crhfu2x2ogEzTzHFNmjTJ2p61KequXbtyjL1y5Yr279+voKAg1a9f3+GzypYta01y/Prrrzna4+LidP78edWoUcPmSTIWi0Uff/yxJPslMo7Ex8dLytuKFgAAAAAAYFuxWxniSPfu3bVx40YtW7YsxxG2q1atUmpqqrp166bgYDtbNf9jvnfffVfLli1T69ats7V99tlnkqQ777zT5vgNGzYoLi5O1atXV9u2bfP5aq6KiYlRbGysSpUqpaioqALN4QnCV9veiDYvOI0GAJxr7v5b7bbXq3TOZtsVi7/dsWkZ9n/EuGKx/XlMRqb9uR+/cI/Ntkw780rSW40/ttsOeCNHp6MUx9Nm3HniiyttTLXdVifA9mkymTK99CsCuI7X/TczcuRIhYaG6osvvtCKFSus98+ePWs9snb8+PE5xkVFRSkqKkonT57Mdn/s2LHy9/fXe++9p23btlnvHzx4UK+88or8/f01ZswYm/FkbZx67733ys/P9pd7zZo1+uWXX3Lc37t3r/r16yfTNDVy5EgFBto/qhAAAAAAkJNFpkddcC+vWxkSERGhefPmqX///urbt6/atm2ryMhIrV27VgkJCRozZow6duyYY1xsbKykq6U016pfv76mTp2q8ePH67bbblOnTp0UGBio7777TpcvX9b06dNtltykpqZq+fLlkpRjlco/bd26VZMnT1bNmjVVt25dlS9fXkeOHNGuXbuUkZGhtm3b6rXXXivIlwQAAAAAAFzD65Ih0tWNSjdu3KiXX35Z27ZtU3p6uho0aKBHHnlEw4cPz/d848aNU7169TR16lRt2rRJktSsWTM9+eSTdk+H+fLLL5WUlKSbbrpJ0dHRdp/RuXNnnThxQjt27NCePXuUmJio0NBQtW7dWvfee6+GDx8uf3/7y4YBAAAAAIBjXpkMkaRWrVpp9erVee5vmvaXKfXo0UM9evTIVwz9+/dX//7989S3ZcuWatmyZb7mBwAAAAA4ZkqyeNj+OJwm415et2cIAAAAAACAPSRDAAAAAACAT/HaMhl4n8IezWsLR/YCQO4OnSlvsy24pO0jHiXJ4uCIW3vVqaZpf9GwvXYHVa96cOfgAs/9YfNF9if3QRaz4J+r+RmetVwdruGtR+C6w58ZITbb0s2LKlGEsRRPpjId/U+iyHlaPL6Ff50AAAAAAIBPIRkCAAAAAAB8CmUyAAAAAACvZ6EsBddgZQgAAAAAAPApJEMAAAAAAIBPoUwGAAAAAODVTEmZHlYm41nR+B5WhgAAAAAAAJ/CyhD4vPDVpQo1Pr5ripMiAYDiI/VyoN12w6/gn3eZHvpR2cjtQ+x3MA2bTR/cstjJ0ThHpmzHXOi5TfufuQUbFpc9G/mTyeejAHwQyRAAAAAAgNfjNBlcizQwAAAAAADwKSRDAAAAAACAT6FMBgAAAADg1UxJmR62KZVnReN7WBkCAAAAAAB8CskQAAAAAADgUyiTAQqpMEfzciwvAG/l0pXIdo6w9VQPbh9cqPFvN//IZpulEJ9tOTpa19HxuPae7WhsgsX+/z8rBSTabQeA/OJAb1yLlSEAAAAAAMCnkAwBAAAAAAA+hTIZAAAAAIBXMyVletj5LZ4Vje9hZQgAAAAAAPApJEMAAAAAAIBPoUwGAAAAAOD1MqlLwTVYGQIAAAAAAHwKK0MANwpfXcplc8d3TXHZ3ADgkGm4OwKv8uiOQQUeO7HpKpttV0x/u2PTTfs/Ktob72huR+0HUivbbGsT8ofdsQAAOEIyBAAAAADg9SzuDgAehTIZAAAAAADgU0iGAAAAAAAAn0KZDAAAAADAq5mSMuVZ+1lxuI17sTIEAAAAAAD4FJIhAAAAAADAp1AmAwAAAADwbqZk8bS6FE+Lx8eQDAG8VPjqUgUeG981xYmRAADcafKuOws8tsf1++y2p1lK2Gmz/2Nmhml/gXJapu3xuxOr2R07pupau+0AAFAmAwAAAAAAfAorQwAAAAAAXo3TZPBPrAwBAAAAAAA+hWQIAAAAAADwKZTJAAAAAAC8nqeVycC9WBkCAAAAAAB8CitDAOTAsbwAAEn66sANdttrVrhosy3DYv8zt0wH7VfstDsa+6/E/jbbpjX81O5YAIBvIBkCAAAAAPBqpiSL6VllMpwm416UyQAAAAAAAJ9CMgQAAAAAAPgUymQAAAAAAF6P02RwLVaGAAAAAAAAn0IyBAAAAAAA+BTKZAAAAAAAXs2UoUwPWwtgUrbjViRDADhV+OpSLps7vmuKy+YGAOTfsbMRNttKlky3O9bREZemnXazEOdRPrzrvgI/V5Leb7a44A+3w2J61i9pzmJvj4YSRmYRRgIA2Xnnv7oAAAAAAAA2sDIEAAAAAOD1HK1Ig29hZQgAAAAAAMXY9OnT1adPH1133XUKCwtTUFCQatasqaFDhyomJibf8yUkJOjxxx9XzZo1rXONHTtWCQkJzg/eTUiGAAAAAABQjL366qtavXq1IiIi1LFjR3Xv3l3BwcFatGiRmjZtqtWrV+d5rgsXLuiWW27RrFmzFBAQoN69e6tMmTKaPXu2mjdvrgsXLrjwlRQdymQAAAAAAF7NlP0Nfd2hEHtB5/DFF1+oWbNmCg4Oznb/3Xff1ejRozVy5EgdP35c/v7+DucaN26cDh48qD59+mjp0qUKCLiaNhgzZozeeustjR8/XgsXLnRi9O7ByhAAAAAAAIqxVq1a5UiESNKoUaNUr149nTp1SrGxsQ7nOXPmjJYsWaISJUronXfesSZCJGnq1KkqX768lixZor/++sup8bsDyRAAAAAAALxU1mqQwMBAh31Xr14ti8WiNm3aqGLFitnagoKC1KNHD2VmZuar7MZTUSYDoNgIX12qwGPju6Y4MRIAgCPpV+z/mGk6c314jrldtxR+5PYhBR77bvMlTowk7zJN133+aSnEZ6sljEwnRgI45sr/FjzVokWLFBsbq+uvv1516tRx2H/Pnj2SpKZNm+ba3rRpU82bN8/arzgjGQIAAAAAgBeYOnWqYmJilJycrN9//10xMTGqUqWKPvroI/n5OU4GHT9+XJJUrVq1XNuz7mf1K85IhgAAAAAA4AaHDx9WdHR0rm0FORJ3zZo1WrdunfXv1atX1+LFi9WsWbM8jb906ZIkqVSp3Fdkly5dOlu/4sz31gkBAAAAAHyMIYv8POqSC063Wbt2rUzTVHx8vDZu3Kj69eurXbt2euWVV/I03vz/NYyGkXtspitrHIsYK0MAAAAAAHCDunXrFmgFiCNly5bVbbfdpm+++UYtW7bUhAkTdMcdd6h58+Z2x5UpU0aSlJycnGt7SsrVffhCQkKcG7AbsDIEAAAAAAAvVKJECd1zzz0yTVNfffWVw/41atSQJMXFxeXannU/q19xxsoQAAAAAIBXMyVluqAspTCKquAkMjJSknTu3DmHfZs0aSJJ2rVrV67tWfcbN27spOjch2QIAJ/AsbwAULQyMxwsQDa8p+48r0Ztv6/AY2c0X2q3vTBHhto7HtfRvI5+ubTYGZ+Qaf//zVVKxNttB5A3P/74o6SrJTmOdOnSRX5+ftq0aZPOnj2rChUqWNvS0tL01Vdfyc/PT127dnVZvEWFMhkAAAAAAIqpTZs2aenSpcrIyMh2/8qVK3rrrbe0ePFilSxZUvfcc4+17e2331ZUVJSeffbZbGMqV66sgQMHKj09XaNHj84251NPPaVz585p0KBBqlSpkmtfVBFgZQgAAAAAwOsVZgWVJzt8+LCGDx+uyMhINWvWTOXKldP58+e1b98+nT59WsHBwVqwYIGqV69uHXP+/HnFxsbq9OnTOeabOXOmtm3bpuXLlysqKko333yzYmJitH//ftWtW1czZswoypfnMt75bgAAAAAAwAe0bdtWzz33nOrXr6+9e/fqs88+008//aSIiAg99thj2rdvn/r375/n+SIjI7Vjxw499thjSk9P18qVK5WYmKhHH31U27dvt+5BUtyxMgQAAAAAgGKqdu3aeuWVV/I1ZtKkSZo0aZLN9vDwcM2ePVuzZ88uZHSei2QIAAAAAMCrmZIsPnqaDHJHmQwAAAAAAPApJEMAAAAAAIBPoUwGABwIX13KZXPHd01x2dwAUKyZnrWc3d3G7bjHcScbnr5xjd32TDufj14x/e2OtTg4ncPe+EwHJQt/plWw2dY6JNbuWCAnw+573T34d86dPO3dAAAAAAAA4FIkQwAAAAAAgE+hTAYAAAAA4NVMSZkOyrqKGqfJuJdnvRsAAAAAAABcjGQIAAAAAADwKZTJAAAAAAC8noW1ALgGyRAAcKPCHNvLsbwAijWOzi0y/97ducBje1y/z267o6N3M+y0X7E4Gmv7F9ffLlW2O/bBShvstgMAqTEAAAAAAOBTWBkCAAAAAPBqpmko08NWpJkeFo+vYWUIAAAAAADwKSRDAAAAAACAT6FMBgAAAADg9TJZC4Br8G4AAAAAAAA+hWQIAAAAAADwKZTJAEAxFb66VKHGx3dNcVIkxUdhdm03DNOJkQBA8fDVgRvstl9f+azd9gyL7c9eM037n8vaG+vo3/PnDvSx2/7q9SvstsM7WRy85+BbeDcAAAAAAACfQjIEAAAAAAD4FMpkAAAAAABezZThcafJmCp4+S4Kz7PeDQAAAAAAAC7GyhAAAAAAgNfLLMRG6vA+rAwBAAAAAAA+hWQIAAAAAADwKZTJAICPCl9dymVzx3dNsdlmOliiatptdDDWYrdZZqbtzwDMdPufD5Qok25/cgDwQQdOV7DbHlbmss22TIuDf9Pt/JtvKcz/SyQ9undggZ4rSf9p8pGD2W2zmHwW7S6mJIuHrQVw9D6Fa3nWuwEAAAAAAMDFSIYAAAAAAACfQpkMAAAAAMDrZVKmhGvwbgAAAAAAAD6FZAgAAAAAAPAplMkAAAAAALyaKUMW2T8pqKiZHhaPryEZAgBwusIc23v21kybbX6p9hc0+l+2/0NFQLLt9gDbpz9enTu1hO24rtg/HO/v9raPGgYAb5b4d0mbbSUCM+yOdXTEravGOvLgzsF2299rtqTAc2fyyzFQZCiTAQAAAAAAPoWVIQAAAAAAr8dpMrgW7wYAAAAAAOBTSIYAAAAAAACfQpkMAAAAAMCrmZIyPWwtgP3t1+FqnvVuAAAAAAAAcDGSIQAAAAAAwKdQJgMA8CgVtvgXeGxmkP12I9P2glTD4mDyQqxlDV9dqsBj47umFPzBAODBMjPtfy5rmkYRRZI/poP/Hzy4474Cz/32zR/bbLPY+RzblGd+rTyKKVk87T1FnYxbsTIEAAAAAAD4FJIhAAAAAADAp1AmAwAAAADwcobHnSYjypvcytPeDQAAAAAAAC5FMgQAAAAAAPgUymQAAAAAAF7NlGQxPWstAIfJuBfJEACA1/BPc3cEzsexvAC8lcXB0boyfO9XxUd3DrTdaOdY2NOXZ+u6Ei4ICPBinpUaAwAAAAAAcDFWhgAAAAAAvF4mp7fgGqwMAQAAAAAAPoVkCAAAAAAA8CmUyQAAAAAAvJopwwNPk6Fsx508690AAAAAAADgYiRDAAAAAACAT6FMBgAALxW+ulShxsd3TXFSJM5lmq5bVmzaafMz7LUCKFIu/HcA3ovTZHAtVoYAAAAAAACfQjIEAAAAAAD4FMpkAAAAAABez9NOk4F78W4AAAAAAAA+hWQIAAAAAADwKZTJAAAAAAC8mikp08PKZDijzL08690AAAAAAADgYqwM8UH+iZdVdtHWAo1NGNLSydEAADxV+OpSBR57sctlu+12Pw0zDftj7Qw2LfbHykG7vfGZGfbHliiTbv/ZAPLHwb8FAFAYJEMAAAAAAF7OkEWelmDztHh8C2UyAAAAAADAp5AMAQAAAAAAPoUyGQAAAACAV+M0GfyTZ70bAAAAAAAAXIxkCAAAAAAA8CmUySBfCnokb15wbC8AeI+Ib0sWeOzZ2zLsd7BzxK1xxf7O/H6O2tNtt9trkyT/oyVstl25IdnuWACAi5mSxdOOa6ZOxq1YGQIAAAAAAHwKyRAAAAAAAOBTKJMBAAAAAHg1U1Kmh60FoErGvTzr3QAAAAAAAOBiJEMAAAAAAIBPoUwGAAAAAODlDM87TUaeFo9vYWUIAAAAAADwKawMgccou2hrgccmDGnpxEgAAO5UYVPBfzxJqWT/Uza/K/bH22s3Mu1vdWdk2m4rua6U/bEWu81K7JRivwMAAMgXkiEAAAAAAK9noTAC1+DdAAAAAAAAfArJEAAAAAAA4FMokwEAAAAAeDVTUqaHnSZjfycquBorQwAAAAAAgE8hGQIAAAAAAHwKZTLwCoU5ltcRju0FgOKj1Bn7i44tjn7ysTPcKMx65kKuhQ5fbf9oXnviu3Isb36YDpbRG4V6IwBwJ4uHlcnAvVgZAgAAAAAAfArJEAAAAAAA4FMokwEAAAAAeDlDFtPT1gJQtuNOnvZuAAAAAAAAcCmSIQAAAAAAwKdQJgMAAAAA8GqmpEwPK0vhbCr3YmUIAAAAAADwKawMARwou2hrgccmDGnpxEgAAIXll+HuCIpe+OpSBR4b3zXFiZFkZ5ru+YS2sJ/EmhbbnyX6+VkKOTsAoKiQDAEAAAAAeD2Lm5Kw8EyUyQAAAAAAAJ9CMgQAAAAAAPgUkiEAAAAAAK9mmpLF9POoy3TCcTIpKSn6/PPPdf/996tx48YKDQ1V6dKl1aRJE7300ku6dOlSvuarVauWDMOwef3xxx+FD9pDsGcIAAAAAADF0EcffaQHHnhAkhQdHa0uXbooKSlJW7Zs0cSJE/Xxxx/rxx9/VIUKFfI179ChQ3O9HxYWVuiYPQXJEAAAAAAAiqHAwECNGjVK48aN03XXXWe9f/r0aXXv3l2//vqrHn/8cX300Uf5mnfBggVOjtTzkAwBAAAAAHg9i7zvNJkhQ4ZoyJAhOe5XrlxZ//nPf3TrrbdqxYoVSk9PV2BgoBsi9FwkQwAXKrtoq8vmThjS0mVzAwAgSeGrSxV47IUulwv3cDtHYDqss7fTbjo6WtPB3KbF9ni/YIv9wQBQhJo0aSJJSktL04ULF1S5cmU3R+RZSIYAAAAAAOBl/vzzT0lSiRIlFBERka+xU6dO1eHDhxUUFKTo6GjdddddKl++vCvCdBuvPU1my5Yt6tatmyIiIhQSEqJbbrlFCxcuLPB8q1atUtu2bRUWFqbQ0FC1bdtWq1atstk/MzNTb731lpo1a6bSpUsrLCxMbdu21cqVK/P8zIMHD6pkyZIyDENdunQpcOwAAAAA4NsMZZqedcnFZTuzZs2SJHXp0kVBQUH5GvvUU0/p/fff1+zZs/XQQw+pVq1amjt3rivCdBuvTIasXLlSbdq00bfffqvGjRurS5cuOnjwoIYNG6bx48fne77Zs2erR48e2rJli2699VZ16NBBO3bsUI8ePTR79uwc/TMzM9W7d2+NGTNGBw4c0G233abmzZtrx44d6tOnj1566aU8Pfehhx5SWlpavuMFAAAAAHi+w4cPKzo6OterML755hvNnTtXJUqU0JQpU/I8rmfPnlqxYoWOHTumlJQU7d+/X+PHj1daWppGjhypzz//vFBxeRKvS4bEx8dr+PDhyszM1LJly7RhwwYtW7ZMf/zxh+rVq6cZM2Zo/fr1eZ7vwIED+te//qWgoCBt3LhRq1ev1ueff67du3erXLly+te//qWDBw9mGzNz5kytWrVKtWvX1p49e/Ttt99q7dq12rlzpypVqqSJEyfq559/tvvcuXPnav369dZjkgAAAAAAcOT333/XfffdJ9M0NXXqVOveIXkxe/Zs3XXXXapRo4ZKliyp6OhoTZs2Te+8844k6emnn3ZV2EXO65Ihc+bMUWJionr16qU+ffpY71esWFFvvPGGJGn69Ol5nm/WrFnKyMjQww8/rJYt/7dh5fXXX6/nn39eGRkZOVaHvPvuu5Kkl19+WXXq1LHeb9iwoV544QVJ0r///W+bzzx79qyefPJJ3X777Ro4cGCeYwUAAAAA5GRKsph+HnWZkurWrauYmJhcr4KIi4tTly5dFB8fr/Hjx2vs2LFO+fqNHDlSFSpU0IEDB3TkyBGnzOluXpcMydrHo2/fvjnaunfvruDgYK1du1apqamFnq9fv36SpK+++sp6LzExUYcPH5YktWvXLseYrHvffvut0tPTc33mmDFjdPnyZWtSBQAAAAAAe86fP69OnTrp+PHjGj58uN58802nze3n56e6detKkk6fPu20ed3J606T2bt3rySpadOmOdoCAwPVqFEj7dy5U7GxsQ6XCyUkJOj48eOSpJtuuilHe7Vq1RQZGaljx44pMTFRYWFhSk5OtraHh4fnGJO1i+/ly5d14MABNWrUKFv7N998o6VLl+qll15SvXr1FBcX5+AVw1cV5thejuUFALhauW9LFmr82XZXbDc6OsHWzvG3dtskGZkO2jNst1sulrA71q9KIY8bBgAb/v77b3Xt2lV//PGH+vTpow8//FCG4dwNWuPj4yVJISEhTp3XXbxqZUhSUpISEhIkXU1U5CbrflaSw56sPuHh4SpdunSe5ouIiJC/v78k6dixYzn6X3vv6NGj2dqSk5M1evRo1a9f36tqsQAAAADA3Sym4VGXs6SlpalXr17auXOnOnfurI8//tj6O6mzxMTEKDY2VqVKlVJUVJRT53YXr0qGXLp0yfrnUqVK5donK6lxbV9H89maK7f5goODdcstt0iSFixYkKP//PnzrX/++++/s7W98MILOnbsmN59910FBgY6jM8eWzsSZ5XwAAAAAACKt8zMTA0cOFDr16/XbbfdphUrVjj8XfLtt99WVFSUnn322Wz316xZo19++SVH/71796pfv34yTVMjR44s9O+qnsKrymRM03RKn3/2tbe8KLf5nn32WfXs2VPTpk1T+fLldd999ykzM1Nz587VnDlzFBAQoIyMDPn5/S8XtXPnTr311lsaMmSI2rdvn+cYAQAAAAC+6e2339bKlSslSZGRkRo9enSu/d58801FRkZKurq3SGxsbI69P7Zu3arJkyerZs2aqlu3rsqXL68jR45o165dysjIUNu2bfXaa6+59gUVoWKXDBk2bFiOe71791bv3r1VpkwZ672UlBSFhobm6JuSkiIpb3VOWfNduw9IXubr0aOH3nzzTT3zzDN64okn9MQTT1jb7r33Xh05ckRbtmyx7imSkZGhBx54QGFhYU7b5MbW7sPR0dE69hv7kAAAAADwLRY5dw8NT5C1j4cka1IkN5MmTbImQ2zp3LmzTpw4oR07dmjPnj1KTExUaGioWrdurXvvvVfDhw93evmNOxW7ZMjChQtz3KtVq5Z69+6t0NBQhYWFKTExUXFxcWrYsGGOvlkbktaoUcPhs7L6xMfHKzk5Odd9Q2zN969//Uu9e/fWsmXL9Oeffyo0NFSdO3fW7bffrkqVKkm6mpjImmP37t2qVKmS9YSaLFl7oGzfvl3t2rVTSEiI9YQbAAAAAIDvmjRpkiZNmuSUMS1btlTLlr5z0EKxS4Y4KnNp0qSJNm7cqF27duVIhly5ckX79+9XUFCQ6tev7/BZZcuWVY0aNXT8+HH9+uuvat26dbb2uLg4nT9/XjVq1FBYWFiO8XXr1s2xEeq+ffv0119/qV69eqpatWq2tjNnzujMmTO5xhIfH68ff/wx1+cAAAAAAIC886oNVCWpe/fukqRly5blaFu1apVSU1PVsWNHBQcHF3q+zz77TJJ055135jm+6dOnS5IefPBB671atWrJNM1cr/Xr10u6umTJNE3rShEAAAAAQN6Y8rzTZPK+myVcoditDHFk5MiReuWVV/TFF19oxYoV6tOnjyTp7NmzeuqppyRJ48ePzzEu63igdevWZVuxMXbsWH3wwQd67733NGDAALVo0UKSdPDgQb3yyivy9/fXmDFjss2VnJysEydOZDtyyGKxaNq0aVqwYIHq16+fYwxQlMou2uqyuROG+M7SOgCA61TYUKLAY+Mb2G4zMuyP9cuwv6eAvfF+mfbnNk7nLLnOktbM9h51AADn87pkSEREhObNm6f+/furb9++atu2rSIjI7V27VolJCRozJgx6tixY45xsbGxkq6W0lyrfv36mjp1qsaPH6/bbrtNnTp1UmBgoL777jtdvnxZ06dPz1Fyc+7cOTVo0ECNGjXSddddJ39/f23fvl3Hjx9XrVq1tHr1agUFBbnuiwAAAAAAAGzyumSIJN19993auHGjXn75ZW3btk3p6elq0KCBHnnkEQ0fPjzf840bN0716tXT1KlTtWnTJklSs2bN9OSTT6pnz545+kdEROjhhx/Wxo0btXbtWmVmZqp27dqaOHGinnjiiTydZAMAAAAAcBZDFtPTdonwvtNtihOvTIZIUqtWrbR69eo893e0MWuPHj3Uo0ePPM0VGhqqd999N8/Ptqddu3YOYwMAAAAAAHnnaakxAAAAAAAAl/LalSEAAAAAAEiSzKunyXgUCgDcipUhAAAAAADAp7AyBIBTFebYXo7lBQA4Q/jvtttSw+1/MuzoeFxZ7I118DGvneagdaUKPFaSkm5Psd8BeWY6WD1gGHycD3gDkiEAAAAAAK9mSrJ42OktpNXcizIZAAAAAADgU1gZAgAAAADweh63gSrcipUhAAAAAADAp5AMAQAAAAAAPoUyGQAAAACA16NMBtdiZQgAAAAAAPAprAwB4DHKLtrqsrkThrR02dwAgOIjON7+YZaWwvx07OCcTKMw52g6GFv221IFnjqhS0qBxzpiFsNP4h19mxy9Jr9CfaMBFBWSIQAAAAAAr2bK8LgyGVOeFY+voUwGAAAAAAD4FJIhAAAAAADAp1AmAwAAAADwep5WJgP3YmUIAAAAAADwKSRDAAAAAACAT6FMBgAAAADg9Syc3oJrkAwB4BPKLtpa4LEJQ1o6MRIAgCfzy7Df7qotBwzTNfPmRfjqUgUee6HLZSdG8g8u3N/BtPf1Luz3IsCN30wAeUaZDAAAAAAA8CmsDAEAAAAAeDVTnneaDGuI3IuVIQAAAAAAwKeQDAEAAAAAAD6FMhkAAAAAgHczPa9MhjoZ92JlCAAAAAAA8CmsDAEABwpzLK8jHNsLAMWLO4/A9UTlvi1Z4LHnbk+z38Hu8bf2P+G3e3Suo/GWQoyVZLEzvkRouoPJARQVkiEAAAAAAK/ncWUycCvKZAAAAAAAgE8hGQIAAAAAAHwKZTIAAAAAAK9myvC4MhlTnhWPr2FlCAAAAAAA8CkkQwAAAAAAgE+hTAYAAAAA4PVMDyuTgXuRDAEANyq7aGuBxyYMaenESAAAKFrl1wYVeOzZlpl2241MB7/0Wgo+1rAz1uH4eAe/ftVMsd8OwGkokwEAAAAAAD6FlSEAAAAAAK9n4fQWXIOVIQAAAAAAwKeQDAEAAAAAAD6FMhkAAAAAgFczJVk87DQZ090B+DhWhgAAAAAAAJ9CMgQAAAAAAPgUymQAoJgqu2iry+ZOGNLSZXMDAFBYFbb6F2p8Uh3b5RJGpv2xDtstBWuTJONcaZttqTcn2x8Mh0wPK5OBe7EyBAAAAAAA+BSSIQAAAAAAwKdQJgMAAAAA8G6m550mw3Ey7sXKEAAAAAAA4FNIhgAAAAAAAJ9CmQwAAAAAwMsZHniajKfF41tIhgAAcijssb0czQsA8GShf9rerCGtrP1fUB0djyt7R+ua9jeJsDd3ifWlbLb5J/tJoQ7iApANZTIAAAAAAMCnsDIEAAAAAODVTHneaTIcJuNerAwBAAAAAAA+hWQIAAAAAADwKZTJAAAAAAC8noP9a+FjWBkCAAAAAAB8CskQAAAAAADgUyiTAQA4XdlFW10yb8KQli6ZFwCALEEJ9mspMgMdTGBnuFGYMg17Yyn/yBOLPOs0GbgXK0MAAAAAAIBPIRkCAAAAAAB8CmUyAAAAAACvZ5qUyRSlESNGuGTesLAwzZgxo9DzkAwBAAAAAABOtWDBAhmGIdOJZxobhqGKFSuSDAEAAAAAAJ4pODhY/fv3d9p8CxcudNpcJEMAAAAAAF7NlGTxsDIZXzgEKCwsTPPnz3fafCRDAAA+qbBH9rrtaF4HP+34ZdruEJBqf3DJM6k22xLrlbL/YABAvvllFGKwL/z2CxQTJEMAAAAAAIBTjRkzRmFhYR47J8kQAAAAAIB3MyUn7uPpHJ4Wj5PNnDnTo+f0c9pMAAAAAAAAxQDJEAAAAAAA4FMokwEAAAAAeD3Tw06TgXuRDAEAAAAAAB5l48aN1j+3adPG6fOTDAEAAAAAAB6lXbt2MgxDhmEoI6MwZ1rnjmQIAMBnlF201SXzWlrfaLc98MQF++PP2W63pKY5eHimzaayW+wPTRjS0n4HAEAOhsXdEeTCy08lcQ7DA8tkPC0ez2O68AggkiEAAAAAAMCjzJ8/36XzkwwBAAAAAAAeZejQoS6dn2QIAAAAAMDrWTyuTAbu5OfuAAAAAAAAAIoSyRAAAAAAAOBTKJMBAAAAAHg1U5ILDyYpEA8Lp0h06NAh32MMw9C6deucHgvJEAAAAAAA4HIbNmzIUz/DuLq/i2ma1j87G8kQAAAKyW/zbrvtGUUTRr6VXbTVZXMnDGnpsrkBAEDxNHHiRLvtiYmJ+vnnn7V161aVK1dOo0aNkr+/v0tiIRkCAAAAAPB6JqfJuJ2jZEiWH374QX369NFvv/2mZcuWuSQWNlAFAAAAAAAeo0OHDpo1a5ZWrlypOXPmuOQZJEMAAAAAAIBHueeee+Tv7++yZAhlMgAAAAAA72Z6YJmMLx4nkw/BwcEqXbq0fv/9d5fMz8oQAAAAAADgUU6ePKnExESZLjoTmWQIAAAAAADwGJcvX9bo0aMlSTfccINLnkGZDAAAcLrCHNvLsbwAAFegKsX9XnrpJbvtqampOnHihNasWaMLFy7IMAw98sgjLomFZAgAAAAAAHC5SZMmyTAc791imqb8/Pz0/PPPa9CgQS6JhWQIAAAAAABwuTZt2thNhgQEBCg8PFxNmjRR//79dd1117ksFpIhAAAAAACv53GnyfigDRs2uDsEKzZQBQAAAAAAPoVkCAAAAAAAxVBKSoo+//xz3X///WrcuLFCQ0NVunRpNWnSRC+99JIuXbqU7zkTEhL0+OOPq2bNmgoKClLNmjU1duxYJSQkOP8FuBHJEAAAAACA9zM97HKCjz76SHfddZfmzZsni8WiLl266LbbbtORI0c0ceJENW/eXGfPns3zfBcuXNAtt9yiWbNmKSAgQL1791aZMmU0e/ZsNW/eXBcuXHBO4B6AZAgAAAAAAMVQYGCgRo0apQMHDmj//v369NNP9e233yo2NlY33XST/vjjDz3++ON5nm/cuHE6ePCg+vTpo9jYWC1dulT79+/XY489pkOHDmn8+PGuezH/sGjRIuvlCoZpmhy37EOio6N17Lc4tTTucHcoAAAUuYQhLd3z4EL+tGXY+3HNwdymPxsGAt5u/+dvqE7VcoqJiXF3KB4pOjpah5LOqeaMx9wdSjbHxr2leqHlXfZ927p1q2699VYFBQUpKSlJgYGBdvufOXNGVatWlb+/v06cOKGKFSta29LS0lS9enVdvHhRJ0+ezNbmKn5+fjIMQ4ZhKCMjw/nzO31GAAAAAAA8jGkaHnW5WpMmTSRdTWTkpbxl9erVslgsatOmTY5kR1BQkHr06KHMzEytXr3aJfHmxjRNuWr9BkfrAgAAAADgZf78809JUokSJRQREeGw/549eyRJTZs2zbW9adOmmjdvnrWfq61fv96l85MMAQAAAADAy8yaNUuS1KVLFwUFBTnsf/z4cUlStWrVcm3Pup/Vz9Xatm3r0vlJhgAAAAAAvJopydN2yzQlHT58WNHR0bm2F2YvkW+++UZz585ViRIlNGXKlDyNyTqGt1SpUrm2ly5dOlu/4o49QwAAAAAA8BK///677rvvPpmmqalTp1r3DnEka28Ow8h9PxNvO3uFlSEAAAAAALhB3bp1nXqaTFxcnLp06aL4+HiNHz9eY8eOzfPYMmXKSJKSk5NzbU9JSZEkhYSEFD5QD0AyBAAA+Iyyi7YWeGzifS3sd7DzgZlhsT/UL8P+p23+6bbbAy7bnzzg0hWbbYn1cl8KDQDep2hOcMkf58Zz/vx5derUScePH9fw4cP15ptv5mt8jRo1JF1NqOQm635Wv8I4c+aM5s2bp82bNysuLk7Jyck2V54YhqHDhw8X+pn/RDIEAAAAAIBi7O+//1bXrl31xx9/qE+fPvrwww9tlrvYklVOs2vXrlzbs+43bty4ULGuXLlSQ4cOdZgAcVS2U1jsGQIAAAAAQDGVlpamXr16aefOnercubM+/vhj+fv753ueLl26yM/PT5s2bdLZs2dzPOOrr76Sn5+funbtWuBYf/vtNw0aNEiXLl1St27d9M4770iSwsLCNGfOHL388stq166dTNNUZGSk3n77bc2bN6/Az7OHZAgAAAAAwLuZkkzDw67Cv6zMzEwNHDhQ69ev12233aYVK1YoMDDQ7pi3335bUVFRevbZZ7Pdr1y5sgYOHKj09HSNHj1aGRkZ1rannnpK586d06BBg1SpUqUCxztjxgylpaXpvvvu01dffaWHH35YklSyZEmNGDFCzz33nH744Qd9/fXXSklJ0cKFCzVo0KACP88eymQAAAAAACiG3n77ba1cuVKSFBkZqdGjR+fa780331RkZKSkq3uLxMbG6vTp0zn6zZw5U9u2bdPy5csVFRWlm2++WTExMdq/f7/q1q2rGTNmFCreDRs2yDCMHImYf+rataumTZumUaNGaebMmXryyScL9dzckAwBAAAAAHg9LzsZVpIUHx9v/XNWUiQ3kyZNsiZD7ImMjNSOHTs0ceJEff7551q5cqUqVqyoRx99VJMnT1ZERESh4j158qQCAgLUoEED6z3DMJSWlpaj7+DBg/Xoo4/qk08+cUkyxDC97bBg2BUdHa1jv8WppXGHu0MBAKBY4TQZAJ5q/+dvqE7Vck49otWbREdH62DieVWbmvdjZotC3JOzdF1YpE9938qWLSvDMLIlccLCwpScnKzU1FQFBGRfrxERESGLxaKEhASnx8KeIQAAAAAAwOWqVKmipKQkXb582XqvVq1aMk1Te/bsydY3Pj5eCQkJSk9Pd0kslMkAAADkQdh/txV4rNH8BrvtfpdS7Y//O8Vmm3nND5S5t9ueO3xHhs02STIzM+22J9x3i912APAo1ES4XYMGDRQbG6uDBw9aj+ht1aqV9u3bpzfffFMff/yxte8LL7wgSapfv75LYmFlCAAAAAAAcLnu3bvLNE0tX77ceu/hhx+Wn5+fPv30UzVq1Ej33nuvGjdurPfee0+GYWjEiBEuiYVkCAAAAAAAcLkePXpo6NCh2fYGady4sWbOnCk/Pz/99ttv+vjjj7V//36ZpqkBAwbosccec0kslMkAAAAAALyeaRruDsHnlS9fXvPnz89x/9FHH9Xtt9+uZcuW6cSJEwoLC1OXLl3UoUMHl8VCMgQAAAAAALhVVFSUdZ+QokCZDAAAAAAA8CmsDAEAAAAAeD9Ok8E1WBkCAAAAAACcavbs2Zo7d67HzsnKEAAAABczd+yz224JsP8jmWmx83GmaXHwcNd9FFp20dYCj00Y0tKJkQAAPM3jjz+uypUr6/777/fIOUmGAAAAAAC8HqfJFD3TBQl5Z81JMgQAAAAAADjdpUuX9NJLL7k7jFyRDAEAAAAAAE6XnJysyZMnuzuMXJEMAQAAAAB4N1Oed5qMp8XjZG3atJFhOL80KSIiwinzkAwBAAAAAABOtWHDBneHYBdH6wIAAAAAAJ/CyhAAAAA3MzMy3B1CkeNY3n9w53J5DtiAz+DNjv9hZQgAAAAAAPApJEMAAAAAAIBPoUwGAAAAAOD9vPz0FuQPK0MAAAAAAIBPIRkCAAAAAAB8CmUyAAAAAADvR5kMrsHKEAAAAAAA4FNYGQIAAIBipeyirQUemzC4pRMjyR/DLMTH0g6GGvbaHYy1lDDyHQ4AFHckQwAAAAAA3s8k8Yf/IRkCAAAAAACcqkOHDk6ZxzAMrVu3zilzXYtkCAAAAAAAcKoNGzY4ZR7DcM2KHpIhAAAAAACvV5hte5B/EydOdHcIdpEMAQAAAAAATuXpyRCO1gUAAAAAAD6FlSEAAADwGWUXF/xYXklKGtTCdqOj428t9trsD/bLtD+33xXb4+21SZJfuu3ALlULtP9goDihTAbXYGUIAAAAAADwKawMAQAAAAAARebMmTOaN2+eNm/erLi4OCUnJ8u0scOtYRg6fPiw02MgGQIAAAAA8G6mcfXyJJ4WTxFZuXKlhg4d6jABktXG0boAAAAAAKDY+u233zRo0CClpaWpe/fu6t69u0aPHq2wsDBNmzZNZ86c0dq1a7VhwwZFRkZq0qRJKl26tEtiIRkCAAAAAABcbsaMGUpLS9N9992nRYsWSZJGjx6tkiVLasSIEZKk5557TqtXr1a/fv20cOFCbd682SWxsIEqAAAAAMDrGaZnXb5ow4YNMgxDzz77rN1+Xbt21bRp07Rjxw7NnDnTJbGQDAEAAAAAAC538uRJBQQEqEGDBtZ7hmEoLS0tR9/BgwfL399fn3zyiUtioUwGAAAAyKPQj7a5ZF6z1Y122/3SMuy3X75iuzEt3e5YI8322KAY+2MvdK5rtx0ArhUYGJhjQ9SQkBAlJiYqIyNDAQH/S1GUKlVKZcqUcclJMhIrQwAAAAAAvsD0sMsHValSRUlJSbp8+bL1Xq1atWSapvbs2ZOtb3x8vBISEpSebj8pW1AFXhnSoUMHpwRgGIbWrVvnlLkAAAAAAIBnatCggWJjY3Xw4EE1btxYktSqVSvt27dPb775pj7++GNr3xdeeEGSVL9+fZfEUuBkyIYNG5wSgKvODAYAAAAAAJ6je/fuWrlypZYvX25Nhjz88MP64IMP9Omnn2rfvn1q0qSJ9u3bp5iYGBmGYT1lxtkKtWdI3759NXXq1AKPf+KJJ7RixYrChAAAAAAAgGMmH8S7W48ePTR06NBse4M0btxYM2fO1Lhx4/Tbb7/pt99+s7YNHDhQjz32mEtiKVQyJCQkRDVr1izUeAAAAAAA4P3Kly+v+fPn57j/6KOP6vbbb9eyZct04sQJhYWFqUuXLk7bniM3BU6GjB07Vv/3f/9XqIffcccdKlu2bKHmAAAAAAAAxVtUVJR1n5CiUOBkyIwZMwr98IEDB2rgwIGFngcAAAAAALt89AQX5K7AyZBLly5R5gIAAAA4gfHTbrvtfuHhdtvNjAzbjZmZdsda7LU7GFv2vxfstsu02GxKGNzC/lgAcKECJ0MqVqyo3r17695771WXLl3k5+fnzLgAAAAAAIAXOnz4sD799FPt3btXFy9e1JUrV2z2NQxD69atc3oMBU6GXL58WR9//LE++eQTlS9fXgMGDNB9992nm2++2ZnxAQAAAABQeJTJeITJkyfr5ZdflsVikWk6/qYYhmtOASpwMuTo0aNasmSJlixZot9++02zZ8/WW2+9peuuu05DhgzRoEGDVKtWLSeGCgAAAAAAiqslS5Zo8uTJkqQqVaqoc+fOqlKlSrajdotKgZ9Yo0YNPfvss3r22We1Z88eLV68WEuXLtWBAwc0YcIETZgwQa1bt9Z9992nfv36cWoMAAAAAAA+7D//+Y8kqWfPnvr0008VGBjotlicstFHkyZN9Oabb+r48eNau3athg4dqjJlymjTpk16+OGHVblyZfXt21eff/653VogAAAAAACczvTQy8fs379fhmHonXfecWsiRHJSMiSLYRjq0KGD5s2bp7/++ktLly7VnXfeKdM0tWLFCt19992qVKmSRo0a5czHAgAAAAAAD2cYhkJDQ1WlShV3h1LwMhlHgoKC1K9fP/Xr10/x8fH65JNP9OKLL+rChQv64IMP9O6777rq0QAAAIBXyYyPt9/Bz992m53jbR3Kw+aGBVV20dYCj00Y0tKJkeSTD36aDzhLVFSUdu/erbS0NAUFBbk1Fpefh7t37169/vrreu2113Tx4kVJkr+/nX+sAQAAAABwNtPwrMsHjRw5UleuXNFnn33m7lBcszLkxIkT+uijj7RkyRLFxMRYj8tp3LixBg8erHvvvdcVjwUAAAAAAB7qgQce0Ndff60xY8aoRo0aatOmjdticVoyJDExUZ999pn++9//avPmzTJNU6ZpqkqVKho0aJAGDx6sG264wVmPAwAAAAAAxchLL72kJk2aaNOmTWrfvr1atWql//u//1OZMmXsjnvxxRedHkuhkiHp6elatWqVlixZom+++Ubp6ekyTVMhISG66667NHjwYHXs2FGG4ZtLgAAAAAAAnsFgvxe3mzRpkjU/YJqmNm/erJ9++snhOI9KhjzwwANavny5EhMTZZqm/P391alTJw0ePFh33XWXSpUq5cw4AQAAAABAMdamTRuPWSxR4GTI3LlzJUlNmjTR4MGDNWjQIFWqVMlpgQEAAAAAAO+xYcMGd4dgVeBkyJNPPqnBgwerUaNGzowHAAAAAADno0wG1yhwMuTf//63M+Nwui1btujll1/Wtm3blJ6eroYNG+qRRx7R0KFD8zXP+fPn9fnnn2v79u3avn279u/fr8zMTH388ccaMGBArmMyMzO1fPlybd++XT///LN27dqllJQUPfTQQ3rvvfdyHZOQkKBvvvlGq1at0u7du3Xs2DH5+fmpYcOGGjRokEaPHq0SJUrk++sAAAAAH2DJdHcERarsoq2FGp8wuKWTIsnJMF30Gze/yANOVeBkSFJSkgIDAxUcHFzgh6empio9PV2hoaEFniM3K1euVL9+/WSxWNSmTRtFRkZq3bp1GjZsmPbs2aPp06fnea7NmzfrgQceyNfz//77b91zzz35GvPmm2/qlVdekZ+fn2666Sb16NFD586d008//aTt27dr2bJlWrNmDXuxAAAAAABQSAVOhoSHh2vYsGHWvUMKYtSoUVq8eLEyMjIKPMc/xcfHa/jw4dbVGX369JEk/fXXX2rdurVmzJihHj16qH379nmar2LFiho9erSaN2+u5s2b69///rcWL15sd0yJEiU0ePBg65jdu3dr1KhRdseEhIToueee0+jRo1W1alXr/YMHD+r222/X5s2b9fLLL+vVV1/NU9wAAAAAAHiSDh065Kt/cHCwypYtq+joaHXp0kXNmjVzWiwFToaYpinTCUvAnDHHtebMmaPExET16tXLmgiRriY13njjDfXp00fTp0/PczKkZcuWatnyf8vo/Pz8HI4pXbq0Fi1aZP37H3/84XDMM888k+v96667Tq+//roGDRqkjz/+mGQIAAAAAKBYunYD1WuP2L1WbvcNw9CLL76ojh07auHChapcuXKhYylwMkS6WkIyYsSIQo13tlWrVkmS+vbtm6Ote/fuCg4O1tq1a5WamlqoEp+i1KRJE0nSqVOn3BwJAAAAAAAFM3HiRF25ckXvvvuu4uPjVaNGDbVt21ZVq1aVaZo6deqUNm7cqGPHjikiIkIPP/ywLl26pJ07d2rLli1at26dOnfurO3btxf69/lCJUMOHTqkQ4cOFSoAZ58xvHfvXklS06ZNc7QFBgaqUaNG2rlzp2JjY61JBk/3559/ShJHFwMAAABAARlsQut2zz//vG6//XalpqZqwYIFGjJkSK79Fi9erIcffljbt2/Xt99+Kz8/P/3444/q3bu3YmJi9OGHH+qxxx4rVCwFToasX7++UA92haSkJCUkJEiSqlWrlmufatWqaefOnTp+/HixSYbMmjVLktSrVy83RwIAAAAAQMHMmDFDmzZt0gcffGAzESJJgwcPVnp6uh588EHNmjVL48aNU9u2bfX6669r1KhRWr58ufuSIW3bti3Ug13h0qVL1j/bOnWldOnSOfp6svfee09r165V2bJlbe4rkpvo6Ohc7x8+fFgBCnJWeAAAAAAA5MmSJUsUEBCgwYMHO+x73333afTo0Vq0aJHGjRsnSRowYIBGjx6tmJiYQsdSqDIZT5OXzVidvWGrK/34448aO3asDMPQvHnzVKVKFXeHBAAAABR7ZRdvLfDYpEEt7Hew8+uGwzINe2Mtthsp/8gj07lbNCD/Dh8+rJCQEAUGBjrsGxQUpJCQkGxbc4SFhals2bJKSkoqdCzFLhkybNiwHPd69+6t3r17q0yZMtZ7KSkpCg0NzdE3JSVF0tWjbD3Z3r171bt3b6Wnp2v27Nm666678jXeVqYsOjpax36Lc0aIAAAAAADkWUBAgBISEnT69GmHJ8KcPn1aCQkJOX6vT0lJUVhYWOFjKfQMRWzhwoU57tWqVUu9e/dWaGiowsLClJiYqLi4ODVs2DBH37i4q4mAGjVquDzWgjp8+LA6d+6shIQETZo0qdC1UAAAAAAAuFuzZs20fv16Pf3001q0aJHdvs8884xM08x2OMpff/2ltLQ01atXr9Cx+BV6hiJmmmaOa9KkSdb2rE1Rd+3alWPslStXtH//fgUFBal+/fpFFXK+nDp1Sp06ddKZM2c0duxYTZw40d0hAQAAAEDxZnro5WMee+wxmaapJUuWqGvXrtq0aZMyMjKs7RkZGdq4caO6deum//73vzIMQ2PGjLG2f/vtt5KkW265pdCxFLtkiCPdu3eXJC1btixH26pVq5SamqqOHTsW+kxiV4iPj1fnzp115MgRDR8+XDNmzHB3SAAAAAAAOEWvXr00fvx4maap7777Tu3atVNISIiqVq2qatWqKSQkRO3bt9eaNWtkmqYef/zxbKeq7tixQ02aNMn3NhK58bpkyMiRIxUaGqovvvhCK1assN4/e/asnnrqKUnS+PHjc4yLiopSVFSUTp48WWSxXislJUXdunXT/v371b9/f3344YcyDDb4AQAAAAB4jzfffFMfffSR6tWrJ9M0lZ6ertOnT+vUqVNKT0+XaZqqW7eulixZomnTpmUb+/bbb+vXX3/VnXfeWeg4it2eIY5ERERo3rx56t+/v/r27au2bdsqMjJSa9euVUJCgsaMGaOOHTvmGBcbGyvpainNP7Vo8b8dow8fPixJmjBhgmbOnClJatq0qd55551sY0aPHm0t1Tl37pwkaeXKldq9e7e1z7Zt26x/fv7557Vt2zb5+/srICBA999/f66vb8GCBQ6+AgAAAACAHHywLMVTDRgwQAMGDNDu3bu1a9cunTt3TqZpqkKFCmratKluvPFGl8fgdckQSbr77ru1ceNGvfzyy9q2bZvS09PVoEEDPfLIIxo+fHi+5/v5559z3Dt06JD1iJ/cSm5+++23HOPOnj2rs2fP5vqM+Ph4SVJmZqY++ugjm7GQDAEAAADcJ/SjbY47FVB6l+Y224wMi+22TH7LR/F04403FkniIzdOSYacOHFCp06dUqVKlVSzZk27fQ8cOKAzZ86oTZs2zni0Ta1atdLq1avz3N80bf8DYq/Nlg0bNuSr/4IFC0h0AAAAAABQBAq1Z8jBgwfVunVr1apVS7feeqvq1Kmjm266Sd99953NMa+99prat29fmMcCAAAAAJAvhulZF9yrwCtDzp8/r7Zt2+rMmTOSpPLlyys+Pl579uxR165dNW7cOL355ptOCxQAAAAAABQPHTp0kCTVrFlT8+fPz3YvPwzD0Lp165wam1SIZMi///1vnTlzRl26dNG8efNUqVIlJSYm6u2339Yrr7yiGTNm6OTJk1q8eLECArxyaxIAAAAAAJCLrK0joqKictzLD1edslrgLMXXX3+t8uXLa+nSpSpTpowkKSwsTM8//7y6deumPn366NNPP1ViYqKWL1+ukiVLOi1oAAAAAADyhdKUIjVx4kRJUmRkZI57nqDAyZCjR4/qjjvusCZCrnXTTTdp27Zt6tKli9asWaPOnTvr66+/zrUvAAAAAADwLrklPjwpGVLgDVRLliypEiVK2GyvWLGifvzxR7Vq1UqbN29W+/btdeHChYI+DgAAAAAAwCkKvDKkdu3a2rNnj90+oaGh+u6779S3b1998803atOmjapVq1bQRwIAAACA1wr8dofNNv/69Wy2GVcsrgjH+1Amg2sUeGVIixYtdPjwYe3du9duv+DgYH3xxRcaNGiQfv/9d61du7agjwQAAAAAAMVUenq6jh8/bj2V9lqXLl3SE088oSZNmqhp06aaMGGCLl++7LJYCpwM6dWrl0zT1BtvvOGwr7+/v/773//q0UcflWmSjgMAAAAAwNfMmTNHtWvX1nPPPZejrXv37poxY4b27dun3bt369VXX1XXrl1dlkMocJlM+/bt9f3338vPL+/5lNmzZ+v2229XfHx8QR8LAAAAAEC+GXwu73Zr1qyRJA0aNCjb/S+//FKbNm2Sn5+fBg0apJIlS2rRokXatGmTFi9erCFDhjg9lgInQwICAtSxY8d8j+vZs2dBHwkAAAAAAIqp33//XZLUrFmzbPc/+ugjGYahp59+Wq+88ookqWnTpho9erQ++ugjlyRDClwmAwAAAAAAkFfnzp1TqVKlFB4enu3++vXrJUkjR4603hs8eLAkOTy4paAKvDLknzZu3JinfoGBgSpXrpzq1asnwzCc9XgAAAAAAHJnSjI97PdPHyzbSU5OVsmSJbPdO3r0qM6dO6caNWqodu3a1vulS5dW2bJldfHiRZfE4rRkSLt27fKV3ChdurQGDBigV155ReXLl3dWGAAAAADgdTJjD9luNNOLLhCgECIiInTu3DklJCSobNmykqQffvhBknTrrbfm6J+RkaGQkBCXxOK0MpkhQ4aoR48eMk1ThmGoadOm6t27t3r16qWmTZvKMAyZpqk777xTHTt2VHBwsObMmaOWLVvqwoULzgoDAAAAAAB4oKZNm0qS5s6dK0myWCyaO3euDMNQ+/bts/U9d+6cLl26pEqVKrkkFqclQ9544w3t3btX3bt314EDB7Rjxw4tX75cK1as0I4dO3Tw4EHdeeed2rt3rxYvXqyjR4/q3nvv1Z9//pmn43kBAAAAACgw08MuHzRs2DCZpqlnnnlGXbt21S233KKtW7cqJCRE/fr1y9Z306ZNkqQGDRq4JBanJUOeeeYZZWRkaPny5apTp06O9tq1a+uzzz5TZmamnnnmGZUqVUrvvfeeIiMj9eWXXzorDAAAAAAA4IH69++v4cOHKzMzU2vWrNGuXbsUHBys9957z1o2k2Xp0qW5rhhxFqftGfLNN9+oQ4cOCgwMtNknKChIrVq10urVqyVd3Tfkpptu0ubNm50VBgAAAAAA8FBz587ViBEjtGXLFpUtW1a33357to1TJSk9PV1hYWEaMmSIunXr5pI4nJYMSUpK0vnz5x32u3DhgpKSkqx/Dw8P51QZAAAAAIDLGJIMDytN8eXfglu1aqVWrVrZbA8MDNQHH3zg0hicViYTHR2tDRs2aMuWLTb7bN26VevXr1d0dLT1XlxcnCpUqOCsMAAAAAAA8Bm//PKLXn/9dfXp00dVq1aVYRgKDg4u0Fy1atWSYRg2rz/++MPJ0buP01aGPPnkkxowYIA6deqkYcOGqW/fvqpevboMw9Dx48e1bNkyLViwQBaLRU8++aSkq6tJfvnlF911113OCgMAAAAAAJ8xZcoUffHFF06dc+jQobneDwsLc+pz3MlpyZD+/fvr1KlTeuaZZ/Tuu+/qvffey9ZumqZKlCihN954Q/3795d0tWRm0qRJ6tixo7PCAAAAAAAgJw8rk3GWli1bqkmTJmrevLmaN2/ulKNoFyxYUPjAPJzTkiGS9Pjjj6tXr16aO3eutm7dqlOnTkmSKleurFtvvVXDhw9X3bp1rf1r166tp59+2pkhAAAAAADgM/idumCcmgyRriY4Xn75ZWdPCwAAAABAgXnaBqpwL6cnQwAAAAAAQPE1depUHT58WEFBQYqOjtZdd92l8uXLuzsspyIZAgAAAAAArJ566qlsfx83bpxmz56t+++/300ROR/JEAAAAACA9/PAMpnDhw8rOjo617aYmJgijkbq2bOn2rdvr2bNmql8+fL6888/NW/ePM2aNUsjR45UuXLl1Lt37yKPyxX83B0AAAAAAABwv9mzZ+uuu+5SjRo1VLJkSUVHR2vatGl65513JBV+s9batWurbt26OnTokDPCLRRWhgAAAAAA4AZ169Z1ywqQ/Bo5cqQmTJigAwcO6MiRI6pdu3aB5jl9+rQCAwNVr149J0eYf6wMAQAAAAB4N9NDr2LCz89PdevWlXQ1oVFQVapUkWl6xgsnGQIAAAAAAOyKj4+XJIWEhBR4jttvv10pKSn69ddfnRVWgZEMAQAAAAAANsXExCg2NlalSpVSVFRUged55plnVLp0aT366KNKSUlxYoT5RzIEAAAAAOD1DNOzLnd5++23FRUVpWeffTbb/TVr1uiXX37J0X/v3r3q16+fTNPUyJEjFRgYWOBnBwQE6P3339e+ffvUqFEjzZgxQz///LOOHDmi48eP27xcgQ1UAQAAAAAopr7++mtNmTIl27309HS1aNHC+vcJEyaoe/fukqTz588rNjY2x94fW7du1eTJk1WzZk3VrVtX5cuX15EjR7Rr1y5lZGSobdu2eu211woV67UbryYnJ+uJJ55wOMYwDGVkZBTqubkhGQIAAAAAQDF17tw5/fzzz9numaaZ7d65c+ccztO5c2edOHFCO3bs0J49e5SYmKjQ0FC1bt1a9957r4YPHy5/f/9CxVqQzVNdteEqyRAAAAAAAIqpYcOGadiwYXnuP2nSJE2aNCnH/ZYtW6ply5bOCywXR44ccen8+UEyBAAAAAAAuFzNmjXdHYIVG6gCAAAAAACfwsoQAAAAAID3c+MJLrDt2LFjOnv2rAzDUPny5Yts9QgrQwAAAAAAQJE5ffq0xowZowoVKqhOnTpq0aKF/u///k916tRRhQoV9Pjjj+c47cbZSIYAAAAAAIAi8dNPP6lx48b6z3/+o/Pnz8s0zWzX+fPn9dZbb6lJkybasmWLy+KgTAYAAAAA4PUMymTc7uzZs+rZs6fi4+MVGhqqhx9+WJ06dVK1atUkSXFxcVq7dq3ef/99nT9/Xj179tRvv/2mChUqOD0WkiEAAAAAAMDlpk2bpvj4eEVFRen7779X1apVs7XXr19fHTt21GOPPabbb79dsbGxmj59ul5//XWnx0KZDAAAAAAAcLmvv/5ahmHoww8/zJEIuVaVKlX04YcfyjRNrVq1yiWxsDIEAAAAAOD9KJNxu6NHj6p06dJq1aqVw76tWrVS6dKldezYMZfEwsoQAAAAAADgcoZhyDTzl5XKb/+8IhkCAAAAAABcrmbNmkpJSdG2bdsc9t26dauSk5NVq1Ytl8RCMgQAAAAA4P1MD7t8UNeuXWWaph588EGdO3fOZr+zZ8/qwQcflGEY6tatm0tiYc8QAAAAAADgck888YTmzp2rmJgYNWjQQKNGjVLHjh1VtWpVGYahEydOaN26dXr//fd14cIFlS1bVk888YRLYiEZAgAAAAAAXK5ixYpauXKl7rrrLl28eFGvvvqqXn311Rz9TNNU2bJl9fnnn6tChQouiYUyGQAAAACAdzMlw8MuXy2Vadu2rfbu3auHHnpI4eHhMk0z2xUeHq5Ro0Zp3759atOmjcviYGUIAAAAAAAoMtWqVdO7776rd999V0eOHNHZs2clSRUqVFDt2rWLJAaSIQAAAAAAwC1q165dZAmQa5EMAQAAAAB4Px8tSylu4uPj5e/vr9DQUJc+hz1DAAAAAACAy506dUqLFi3St99+m6MtJiZGN998syIjIxUeHq7bbrtNBw4ccFksJEMAAAAAAIDLzZs3T8OHD9eGDRuy3b98+bK6deumX3/91bqR6k8//aTbb79dSUlJLomFZAgAAAAAwOu5+/SYHKfJ+KC1a9dKku65555s9xcuXKgTJ04oIiJCH374of773/+qWrVqOnnypP7zn/+4JBaSIQAAAAAAwOWOHj0qSYqKisp2f8WKFTIMQ6+++qruv/9+DRo0SB9++KFM09SXX37pklhIhgAAAAAAAJc7f/68QkNDVbJkSes9i8WiLVu2yDAM9e3b13q/U6dO8vPzU2xsrEti4TQZAAAAAID389HSFE+SmZkpi8WS7d6+ffuUkpKiG264QeHh4db7fn5+Cg8PZ88QAAAAAABQfFWuXFlpaWk6cuSI9d6aNWskSbfeemuO/pcuXVJERIRLYiEZAgAAAAAAXK5ly5aSpMmTJ8tisejcuXN69913ZRiGOnfunK3vkSNHlJaWpsqVK7skFpIhAAAAAADvZ3rY5YPGjh0rSVq8eLHKli2r6tWr69ixY6pdu7buvPPObH2///57SVLTpk1dEgvJEAAAAAAA4HK33HKL5s2bp5CQEF26dEnp6emKiorSihUrFBCQfUvTRYsWSZLat2/vkljYQBUAAAAAABSJoUOHqn///tq/f7/Kli2runXrys8v+zqN9PR0Pfjgg3rggQfUvXt3l8RBMgQAAAAA4NUMSYaHlaYY7g7AjUqWLKnmzZvbbA8MDNSQIUNcGgNlMgAAAAAAwKewMgQAAAAAABS51NRUxcfH68qVK3b71ahRw+nPJhkCAAAAAPBunniCi6fFU0RSUlL0xhtv6OOPP9ahQ4cc9jcMQxkZGU6Pg2QIAAAAAABwuYSEBLVp00YxMTEyzbxlg/LaL79IhgAAAAAAAJebMmWK9u/frxIlSuixxx5Tr169VKVKlRzH6hYFkiEAAAAAAO/no2UpnuTzzz+XYRiaOXOmRo0a5dZYOE0GAAAAAAC43MmTJ+Xn56fhw4e7OxRWhgAAAAAAANeLiIhQamqqgoOD3R0KK0MAAAAAAN7PMD3r8kWtW7dWYmKiTp486e5QSIYAAAAAAADXe/rppxUQEKApU6a4OxSSIQAAAAAAwPWaNWumBQsWaOHChbr//vv1559/ui0W9gwBAAAAAHg/Hy1N8SR16tSRJPn7+2vBggVasGCBIiIiVKZMGZtjDMPQ4cOHnR4LyRAAAAAAAOByR48ezXHvwoULunDhgs0xhmG4JBaSIQAAAAAAwOXmz5/v7hCsSIYAAAAAALyer57g4kmGDh3q7hCs2EAVAAAAAAD4FJIhAAAAAADAp5AMAQAAAAB4P9PDLh8WFxen8ePHKzo6WiEhIQoIyL6DR3x8vF599VW99tprslgsLomBPUMAAAAAAECRWLt2rfr166ekpCSZ5tWs0D9PjAkPD9cXX3yhnTt3qkWLFmrfvr3T42BlCAAAAAAAcLkTJ06ob9++SkxMVI8ePbRs2TKFh4fn2nfEiBEyTVOff/65S2IhGQIAAAAA8G7uLomhVEaSNH36dCUlJal///76/PPP1adPHwUGBubat3PnzpKkzZs3uyQWkiEAAAAAAMDl1qxZI8MwNGXKFId9a9WqpaCgIB05csQlsZAMAQAAAAAALnfs2DGVLFlS1113XZ76h4SE6NKlSy6JhQ1UAQAAAABez3DcBS7m5+enzMzMPPW9cuWKEhMTVaZMGdfE4pJZAQAAAAAArlG9enWlpaXpxIkTDvuuX79eGRkZqlevnktiIRkCAAAAAABcrmPHjpKk999/326/y5cv65lnnpFhGOrSpYtLYiEZAgAAAADwfu4+OcbHT5KRpHHjxikgIEBvvvmmFi5cmGufLVu2qE2bNtq9e7dKlSql0aNHuyQWkiEAAAAAAMDl6tSpo7ffflvp6ekaMWKEqlSpovj4eElS9+7dVaNGDd1222365ZdfZBiGPvjgA1WsWNElsZAMAQAAAAAAReKBBx7QihUrVLlyZZ05c0bp6ekyTVOrV69WXFycTNNU5cqVtWLFCg0cONBlcXCaDAAAAADA6xk+WpriiXr37q3u3btr9erV2rx5s06dOqXMzExVqlRJrVq1Uo8ePRQUFOTSGEiGAAAAAACAIlWiRAn17NlTPXv2dMvzKZMBAAAAAAA+hZUhAAAAAADvR5mMx0pPT9e3336r2NhYBQUFqWnTpmrdurVLn0kyBAAAAAAAON3ff/+tlStXSpLuueeeXPcB2blzp+6++27FxcVlu/9///d/WrFihSpVquSS2CiTAQAAAAAATrdu3ToNGzZMM2fOzDURcvbsWXXr1s16isy1188//+zS/URIhgAAAAAAvJ/pYZcP2LRpkyRp0KBBubb/+9//1vnz5yVJQ4cO1U8//aQ9e/Zo3LhxMk1Tv/zyi5YtW+aS2CiTAQAAAAAATrd9+3YZhqEuXbrk2r5kyRIZhqEePXpo/vz51vvTpk3TxYsXtXDhQi1fvlx9+/Z1emysDAEAAAAAAE53+vRpBQQEqGHDhjnaYmJidPbsWUnSmDFjcrSPHTtWkvTrr7+6JDZWhgAAAAAAvJ7hI6UpnuSvv/5SaGio/PxyrsPYvn27JCkwMDDXk2MaNWokwzB06tQpl8TGyhAAAAAAAOB0mZmZSkpKyrXtl19+kSQ1aNBAgYGBOdoDAgIUHh6uy5cvuyQ2kiEAAAAAAMDpKlSooIyMDB0+fDhH29atW2UYhpo3b25z/KVLl1S6dGmXxEYyBAAAAADg3dx9coyPnijTtGlTSdIHH3yQ7f7Bgwe1e/duSVLbtm1zHXvs2DGlp6erWrVqLomNZAgAAAAAAHC6gQMHyjRNzZgxQ1OnTlVsbKzWrVunfv36yTRNlS5dWj169Mh17MaNGyVd3TvEFUiGAAAAAAAAp+vXr5/atGmjjIwMPfPMM2rYsKHuuOMO7du3T4ZhaPz48SpTpkyuY5cuXSrDMHLdXNUZSIYAAAAAALyaoaunyXjU5e4vShH54osvdOedd8o0TeslSSNHjtSLL76Y65iDBw/q22+/lSR169bNJXFxtC4AAAAAAHCJsLAwffnllzp06JB1n5DmzZurZs2aNseUKFFCX3zxhUqUKKE6deq4JC6SIQAAAAAAwKXq1aunevXq5alvrVq1VKtWLZfGQzIEAAAAAOD9fOD0FuQde4YAAAAAAACfQjIEAAAAAAD4FMpkAAAAAABez6BMBtdgZQgAAAAAAPApJEMAAAAAAIBPoUwGAAAAAOD9KJPBNVgZAgAAAAAAfArJEAAAAAAA4FMokwEAAAAAeD/KZHANVoYAAAAAAACfwsoQAAAAAIB3MyXD01aGeFo8PoaVIQAAAAAAwKeQDAEAAAAAAD6FMhkAAAAAgPejLAXXYGUIAAAAAADwKSRDAAAAAACAT6FMBgAAAADg9QyTOhn8DytDAAAAAACATyEZAgAAAAAAfArJEAAAAACA9zM97HKSX375Ra+//rr69OmjqlWryjAMBQcHF3i+hIQEPf7446pZs6aCgoJUs2ZNjR07VgkJCc4L2gOwZwgAAAAAAMXUlClT9MUXXzhlrgsXLqhly5Y6ePCg6tSpo969eysmJkazZ8/WN998o23btqlcuXJOeZa7sTIEAAAAAIBiqmXLlnrxxRf11Vdf6cyZM4Waa9y4cTp48KD69Omj2NhYLV26VPv379djjz2mQ4cOafz48U6K2v0M02RLXV8SHR2tY7/FqaVxh7tDAQAAAOAEW83vVLNhNcXExLg7FI8UHR2tP09dUKO7nnJ3KNnsX/mG6lQp5/Tvm2EYCgoKUmpqar7GnTlzRlWrVpW/v79OnDihihUrWtvS0tJUvXp1Xbx4USdPnszWVlyxMgQAAAAAAB+3evVqWSwWtWnTJkeyIygoSD169FBmZqZWr17tpgidi2QIAAAAAAA+bs+ePZKkpk2b5tqedT+rX3HHBqoAAAAAAO/HBhF2HT9+XJJUrVq1XNuz7mf1K+5IhgAAAAAA4AaHDx9WdHR0rm1FvQfMpUuXJEmlSpXKtb106dLZ+hV3lMkAAAAAAODjss5WMQzDbru3YGUIAAAAAMC7mZLhab/Lm1LdunU95hSgMmXKSJKSk5NzbU9JSZEkhYSEFFlMrsTKEAAAAAAAfFyNGjUkSXFxcbm2Z93P6lfckQwBAAAAAMDHNWnSRJK0a9euXNuz7jdu3LjIYnIlkiEAAAAAAO9netjlYbp06SI/Pz9t2rRJZ8+ezdaWlpamr776Sn5+furataubInQukiEAAAAAAPiIt99+W1FRUXr22Wez3a9cubIGDhyo9PR0jR49WhkZGda2p556SufOndOgQYNUqVKlog7ZJdhAFQAAAACAYurrr7/WlClTst1LT09XixYtrH+fMGGCunfvLkk6f/68YmNjdfr06RxzzZw5U9u2bdPy5csVFRWlm2++WTExMdq/f7/q1q2rGTNmuPbFFCGSIQAAAAAAr2bI806Tyf0A2/w7d+6cfv7552z3TNPMdu/cuXN5misyMlI7duzQxIkT9fnnn2vlypWqWLGiHn30UU2ePFkRERFOitr9DNPbDguGXdHR0Tr2W5xaGne4OxQAAAAATrDV/E41G1bzmCNaPU10dLSOnLygG3o+5e5Qstn35RuqXbUc3zc3Yc8QAAAAAADgUyiTAQAAAAB4P2oicA1WhgAAAAAAAJ9CMgQAAAAAAPgUymQAAAAAAF7P006TgXuxMgQAAAAAAPgUkiEAAAAAAMCnUCYDAAAAAPB+JnUy+B9WhgAAAAAAAJ9CMgQAAAAAAPgUymQAAAAAAN7N9MDTZDwtHh/DyhAAAAAAAOBTSIYAAAAAAACfQpkMAAAAAMD7UZaCa7AyBAAAAAAA+BSSIQAAAAAAwKdQJgMAAAAA8HqGxd0RwJOwMgQAAAAAAPgUkiEAAAAAAMCnUCYDAAAAAPB+nCaDa7AyBAAAAAAA+BSvTYZs2bJF3bp1U0REhEJCQnTLLbdo4cKF+Z7n/PnzmjNnjh588EHdeOONCggIkGEY+uSTT2yOOXbsmP71r3+pTZs2qlatmoKDgxUSEqKmTZvqlVdeUUpKSq7jfvzxR02ePFndu3dX+fLlZRiGoqKi8h0zAAAAAACwzSvLZFauXKl+/frJYrGoTZs2ioyM1Lp16zRs2DDt2bNH06dPz/Ncmzdv1gMPPJCv5+/bt0/Tp09XpUqVFBUVpdtuu03x8fHatm2bXnjhBS1dulQbN25U2bJls40bO3as9uzZk69nAQAAAAAcMyiTwTW8bmVIfHy8hg8frszMTC1btkwbNmzQsmXL9Mcff6hevXqaMWOG1q9fn+f5KlasqNGjR2v+/Pnav3+/Bg8e7HBMs2bNtH//fp0+fVrr16/Xxx9/rG+//VbHjx9Xx44dtW/fPr3++us5xt1xxx165ZVX9N1332nXrl35et0AAAAAACBvvG5lyJw5c5SYmKhevXqpT58+1vsVK1bUG2+8oT59+mj69Olq3759nuZr2bKlWrZsaf27n5/j/FHlypVVuXLlHPdDQ0M1efJkrVu3Tj/88EOO9jfeeMP656NHj+YpPgAAAAAAkD9elwxZtWqVJKlv37452rp3767g4GCtXbtWqampCg4OLurw5O/vL0kKDAws8mcDAAAAgE8yJZkeVifjYeH4Gq8rk9m7d68kqWnTpjnaAgMD1ahRI6Wmpio2NraoQ1NKSopeeeUVSVLXrl2L/PkAAAAAAMDLVoYkJSUpISFBklStWrVc+1SrVk07d+7U8ePH1aRJE5fGEx8fr3HjxkmSzp07p59//lkXLlxQr169NH78eJc+GwAAAAAA5M6rkiGXLl2y/rlUqVK59ildunSOvq6SnJyc4zjfvn376j//+Y9Klizp0mdHR0fnev/w4cMKUJBLnw0AAAAAnobTZHAtryqTMfNQA5aXPs5SrVo1maYpi8Wi48ePa+7cudq8ebMaN27MaTEAAAAAALhJsVsZMmzYsBz3evfurd69e6tMmTLWeykpKQoNDc3RNyUlRZIUEhLishj/yTAMVa9eXSNGjFDjxo3VokULDR8+XLt375ZhGC55ZkxMTK73o6Ojdey3OJc8EwAAAACA4qDYJUP+WXYiSbVq1VLv3r0VGhqqsLAwJSYmKi4uTg0bNszRNy7uaiKgRo0aLo81NzfffLPq16+vvXv36siRI6pTp45b4gAAAAAAn0KZDK5R7MpkTNPMcU2aNMnanrUpam5lKFeuXNH+/fsVFBSk+vXrF1XIOURGRkq6uqkqAAAAAAAoWsUuGeJI9+7dJUnLli3L0bZq1SqlpqaqY8eOCg4OLurQJF098ebXX3+VYRiqXbu2W2IAAAAAAMCXeV0yZOTIkQoNDdUXX3yhFStWWO+fPXtWTz31lCTleqxtVFSUoqKidPLkyULH8M4772jv3r057p88eVKDBg3S33//re7du6tChQqFfhYAAAAAwD5DV0+T8ajL3V8UH1fs9gxxJCIiQvPmzVP//v3Vt29ftW3bVpGRkVq7dq0SEhI0ZswYdezYMce42NhYSVdLaf6pRYsW1j8fPnxYkjRhwgTNnDlTktS0aVO988471j6ffvqpHnnkETVs2FBRUVEqUaKETpw4oV9++UVpaWmKjo7WBx98kOM5c+bM0Zw5cyRJaWlpkqRjx45le/4777yjpk2b5vfLAgAAAAAA/j+vS4ZI0t13362NGzfq5Zdf1rZt25Senq4GDRrokUce0fDhw/M9388//5zj3qFDh3To0CFJylFy8+STT6pu3bratm2b1q9fr7///lthYWFq0aKF7r77bj3wwAO5lunExcXleFZqamq2e0lJSfmOHwAAAAAA/I9hmiZ76vqQrKN1Wxp3uDsUAAAAAE6w1fxONRtWU0xMjLtD8UjR0dE6euKCmnb4l7tDyWbXD9NUq3o5vm9u4nV7hgAAAAAAANhDMgQAAAAAAPgUr9wzBAAAAACAaxlsEIFrsDIEAAAAAAD4FJIhAAAAAADAp1AmAwAAAADwbub/vzyJp8XjY1gZAgAAAAAAfArJEAAAAAAA4FMokwEAAAAAeD1Ok8G1WBkCAAAAAAB8CskQAAAAAADgUyiTAQAAAAB4OVOyeFqdjKfF41tYGQIAAAAAAHwKyRAAAAAAAOBTKJMBAAAAAHg/qlJwDVaGAAAAAAAAn0IyBAAAAAAA+BTKZAAAAAAAXs+gTAbXYGUIAAAAAADwKSRDAAAAAACAT6FMBgAAAADg3UxJpofVyXhYOL6GlSEAAAAAAMCnkAwBAAAAAAA+hTIZAAAAAIDX4zQZXIuVIQAAAAAAwKeQDAEAAAAAAD6FMhkAAAAAgPejTAbXYGUIAAAAAADwKSRDAAAAAACAT6FMBgAAAP+vvXsPq7pM9z/+WYiAqOCIeCgUE02SlNTwfMzdDHlIJEy36XhIbTSzstSands9XVtnzziZ2WjXbhwPM3lM1J2a5WiZEuIhFIJJJvFAlEcEDBFReX5/+FskLURQYS3W9/26rnVd+jzf77Nu6JaWt8/9fAHA7dkMfTL4CTtDAAAAAACApVAMAQAAAAAAlkKbDAAAAADA/RU5OwC4EnaGAAAAAAAAS6EYAgAAAAAALIU2GQAAAACAW7MZ13uajM21wrEcdoYAAAAAAABLoRgCAAAAAAAshTYZAAAAAID7oy0FN2FnCAAAAAAAsBR2hgAAAAAA3J+LHaAK52JnCAAAAAAAsBSKIQAAAAAAwFJokwEAAAAAuD0bXTK4CTtDAAAAAACApVAMAQAAAAAAlkKbDAAAAADA/fE0GdyEnSEAAAAAAMBSKIYAAAAAAABLoU0GAAAAAODejGQrcnYQP0PXjlOxMwQAAAAAAFgKxRAAAAAAAGAptMkAAAAAANycccGnybhaPNbCzhAAAAAAAGApFEMAAAAAAICl0CYDAAAAAHB/dKXgJuwMAQAAAAAAlkIxBAAAAAAAWAptMgAAAAAAt2dzuafJwJnYGQIAAAAAACyFYggAAAAAANVYQUGBZs+erQcffFA+Pj667777NG7cOGVmZlZonebNm8tms93ydeTIkUr6CqoebTIAAAAAAPfnpm0yBQUF6tevn+Lj49WkSRMNHjxYJ06c0LJly7Rlyxbt3btXISEhFVpz9OjRpY77+/vfi5BdAsUQAAAAAACqqblz5yo+Pl5du3bV9u3bVadOHUnS/Pnz9corr2jcuHH64osvKrTm8uXLKyFS10KbDAAAAAAA1dDVq1f17rvvSpIWLVpUXAiRpGnTpqldu3bavXu3vvrqK2eF6LIohgAAAAAA3JuRVORir3vQtRMXF6ecnByFhISoffv2DvMxMTGSpM2bN9/9m7kZ2mQAAAAAAKiGkpKSJEkdOnQodd4+br+uvObNm6f09HR5e3srLCxMQ4YMUWBg4N0F62IohgAAAAAAUA1lZGRIkoKCgkqdt4/bryuvGTNmlPj9yy+/rIULF+rZZ5+9gyhdE8UQAAAAAIDbs7ng02TS09MVFhZW6lxqaupt78/Ly5Mk+fr6ljpfu3btEtfdzpNPPqm+ffuqY8eOCgwM1LFjx7R06VK98847Gj9+vAICAhQVFVWutVwdxRAAAAAAAKoh8/8LPDabrcz58lq4cGGJ34eFhemtt95S69at9dxzz2nmzJkUQwAAAAAAwJ0LCQkp1w6QW6lbt64k6dKlS6XO5+fnS1KJp8zcifHjx2vWrFn617/+pePHj+uBBx64q/VcAU+TAQAAAAC4P2Nc63UPNGvWTJKUmZlZ6rx93H7dnfLw8FBISIgk6dSpU3e1lqugGAIAAAAAQDUUHh4uSUpMTCx13j7erl27u36v7OxsSXe/y8RVUAwBAAAAAKAa6t69u/z9/ZWenq5Dhw45zK9fv16SNHDgwLt6n9TUVKWlpcnX11ehoaF3tZaroBgCAAAAAHB/zm6LqYQ2GS8vL02ZMkWSNGXKlBJnh8yfP1/Jycnq0aOHIiIiisf//Oc/KzQ0VK+//nqJtT799FN99dVXDu+RnJysoUOHyhij8ePHy8vL657E7mwcoAoAAAAAQDX1xhtvaMeOHYqPj1erVq3Us2dPnTx5Uvv27VNAQICWLVtW4vrz588rLS3N4eyPvXv36ne/+52Cg4MVEhKiwMBAHT9+XImJibp27Zp69+6t3//+91X5pVUqdoYAAAAAAFBN+fj46PPPP9esWbPk6+urTZs26cSJExo9erQOHTqkli1blmudX/3qVxo3bpz8/PyUlJSk2NhYHT16VD169NBf/vIX7dy5U76+vpX81VQdm6nog4dRrYWFhenkPzPV1fZLZ4cCAAAA4B7Ya7YruE3QXT2i1Z2FhYXp5LFz6h46ydmhlPDlkfcU3CKQ/25Ows4QAAAAAABgKRRDAAAAAACApXCAKgAAAADAvRkjm6udEOFq8VgMO0MAAAAAAIClUAwBAAAAAACWQpsMAAAAAMD90ZaCm7AzBAAAAAAAWArFEAAAAAAAYCm0yQAAAAAA3B9tMrgJO0MAAAAAAIClUAwBAAAAAACWQpsMAAAAAMD90SaDm7AzBAAAAAAAWArFEAAAAAAAYCm0yQAAAAAA3F+RswOAK2FnCAAAAAAAsBSKIQAAAAAAwFJokwEAAAAAuDWbkWwu9jQZm2uFYznsDAEAAAAAAJZCMQQAAAAAAFgKbTIAAAAAAPfnYm0ycC52hgAAAAAAAEuhGAIAAAAAACyFNhkAAAAAgJszUpGrtcm4WjzWws4QAAAAAABgKRRDAAAAAACApdAmAwAAAABwfzxNBjdhZwgAAAAAALAUiiEAAAAAAMBSaJMBAAAAALg/2mRwE3aGAAAAAAAAS6EYAgAAAAAALIU2GQAAAACAezNyvTYZFwvHatgZAgAAAAAALIViCAAAAAAAsBTaZAAAAAAA7q+IvhT8hJ0hAAAAAADAUiiGAAAAAAAAS6FNBgAAAADg5oxkipwdxM/QtuNM7AwBAAAAAACWQjEEAAAAAABYCm0yAAAAAAD3Z2hLwU/YGQIAAAAAACyFYggAAAAAALAU2mQAAAAAAO7NSCpysTYZFwvHatgZAgAAAAAALIViCAAAAAAAsBTaZAAAAAAA7o+nyeAm7AwBAAAAAACWQjEEAAAAAABYCm0yAAAAAAD3R5sMbsLOEAAAAAAAYCkUQwAAAAAAgKXQJgMAAAAAcH+0yeAm7AwBAAAAAACWQjEEAAAAAABYCm0yAAAAAAA3Z6SiImcH8TO07TgTO0MAAAAAAIClUAwBAAAAAACWQpsMAAAAAMC9Gbne02RcLByrYWcIAAAAAACwFIohAAAAAADAUmiTAQAAAAC4P1drk4FTsTMEAAAAAABYCjtDAAAAAADur4idIfgJO0MAAAAAAIClUAwBAAAAAACWQpsMAAAAAMCtGRkZU+TsMEowom3HmdgZAgAAAAAALIViCAAAAAAAsBTaZAAAAAAA7s3I9Z4m42LhWA07QwAAAAAAgKVQDAEAAAAAAJZCmwwAAAAAwP0Z+lLwE3aGAAAAAAAAS6EYAgAAAAAALIU2GQAAAACA+ysqcnYEcCHsDAEAAAAAAJZCMQQAAAAAAFgKbTIAAAAAAPfH02RwE3aGAAAAAAAAS6EYAgAAAAAALIU2GQAAAACAezNGxtWeJkPbjlOxMwQAAAAAAFgKxRAAAAAAAGAptMkAAAAAANwfbSm4CTtDAAAAAACApVAMAQAAAAAAlkKbDAAAAADA/RXRJoOfsDMEAAAAAABYCsUQAAAAAABgKbTJAAAAAADcnylydgRwIewMAQAAAAAAlkIxBAAAAAAAWIrbFkPi4+PVv39/1a9fX3Xq1FGnTp20YsWKCq9z/vx5LVmyRBMnTtQjjzwiT09P2Ww2rVmz5pb3nDhxQjab7Zavxo0b3/LenJwcvfTSSwoODpa3t7eCg4P14osvKicnp8KxAwAAAAAkGSNT5FovGZ5u40xueWbIxo0bNXToUBUVFalXr15q0KCBdu7cqTFjxigpKUnz588v91pxcXGaMGHCHcXRqFEjRUZGOoz7+/uXen1WVpa6du2qb7/9Vi1atFBUVJRSU1O1cOFCffzxx0pISFBAQMAdxQIAAAAAAG5wu2JIdna2xo4dq+vXrys2NlbR0dGSpDNnzqhHjx56++23NWjQIPXt27dc6zVq1EiTJ09WRESEIiIi9Ic//EF///vfy3VvaGioli9fXu7YX375ZX377beKjo7W2rVr5el54z/P1KlT9e6772ratGl3tLsFAAAAAAD8xO3aZJYsWaLc3FwNHjy4uBAi3Shq/PGPf5SkCu0M6dq1qxYtWqQxY8YoLCxMHh6V8y07ffq0Vq5cqZo1a2rx4sXFhRBJmjdvngIDA7Vy5UqdOXOmUt4fAAAAANyaKXKtF5zK7YohW7ZskSTFxMQ4zA0YMEA+Pj7asWOHCgoKqjq0Mm3btq24radRo0Yl5ry9vTVo0CBdv35d27Ztc1KEAAAAAABXVFBQoNmzZ+vBBx+Uj4+P7rvvPo0bN06ZmZkVXssq51i6XTEkOTlZktShQweHOS8vLz388MMqKChQWlpapcdy5swZzZ49WxMnTtT06dO1fv16FRYWlnptUlKSpNLjvnncfh0AAAAAAAUFBerXr5/efPNN5eXlafDgwWratKmWLVumDh06KD09vdxrZWVlqVOnTnrnnXfk6empqKgo1a1bVwsXLlRERISysrIq8SupWm51ZsjFixeLq1VBQUGlXhMUFKSDBw8qIyND4eHhlRrPkSNH9Oabb5YYa9asmdatW6fOnTuXGM/IyCiOrzT2cft1AAAAAIDyM0Xu+fSWuXPnKj4+Xl27dtX27dtVp04dSTeOh3jllVc0btw4ffHFF+Vay0rnWLrVzpC8vLziX/v6+pZ6Te3atR2uvde8vb01adIk7dq1S2fOnFFubq727t2r/v37KyMjQ5GRkTpx4kSpsd+ruMPCwkp9VaQqCAAAAABwXVevXtW7774rSVq0aFFxIUSSpk2bpnbt2mn37t366quvbruW1c6xdKtiiCnHc5rLc83datKkiRYvXqzevXurYcOG8vPzU5cuXbR161aNGDFCOTk5mjt3bqlx2Ww2p8UNAAAAAKg+4uLilJOTo5CQELVv395h3n6W5ubNm2+7ltXOsax2bTJjxoxxGIuKiiruZbLLz8+Xn5+fw7X5+fmSVKJiVpV++9vfatWqVfr0009LjNtjv3TpUqn3VTTu1NTUUsfDwsJ08p8VP0QHAAAAAKo1N3yCy708e7I8ay1dutRtzrGsdsWQ0vqTmjdvrqioKPn5+cnf31+5ubnKzMxUmzZtHK61n6bbrFmzSo+1NK1atZIknTp1qsS4PZ5bnfbr7LgBAAAAAK7lXp49abVzLKtdMeR27SLh4eHavXu3EhMTHYohV69eVUpKiry9vdW6devKDPOWsrOzJTnu8LAf5pqYmFjqffbxdu3a3dX7Z2RkKF/52mu239U6AAAAAFxDvvLc5i+olSVfeS73d6B85Sk9PV1hYWGlzt9qt//N7uXZk/f6HEtXV+2KIbczYMAA7d69W+vXr9fIkSNLzG3ZskUFBQXq37+/fHx8nBJfbGysJKljx44lxiMjI+Xh4aE9e/bo7NmzatiwYfHclStXtHnzZnl4eOiJJ564q/e3J3CzZjeqevYDVUNCQu5qXaA6IN9hJeQ7rIach5X8PN8zMjKKP+fDkSv/XLjbIta9PHvSaudYul0xZPz48ZozZ47+7//+Txs2bFB0dLQk6ezZs5oxY4akG6fq/lxoaKgkaefOnbr//vvvKoa//e1veuyxxxy2F23YsEGvvfaaJGny5Mkl5po0aaJ///d/18qVKzV58mStWbOm+PTeGTNm6Ny5cxo5cqQaN258V7GdPn26xO/tVcjyVB2B6o58h5WQ77Aach5WQr5XzEcffeTsECrNvTx78l6fY+nq3K4YUr9+fS1dulRPP/20YmJi1Lt3bzVo0EA7duxQTk6Opk6dqn79+jncl5aWJulGK83PdenSpfjX9irsrFmztGDBAkk3DpJZvHhx8TVLly7V2LFjFRoaqubNm8vHx0f//Oc/deTIEUnS9OnTNWTIEIf3WbBggRISEhQbG6vQ0FA9+uijSk1NVUpKikJCQvT222/f+TcGAAAAAOBW7uXZk1Y7x9LtiiGS9NRTT2n37t367//+byUkJKiwsFAPPfSQnn/+eY0dO7bC6+3bt89h7OjRozp69KgkObTcTJgwQYGBgTp8+LDi4uJ0+fJlBQYGKjo6WpMmTdK//du/lfo+DRo00IEDBzR79mxt2rRJGzduVKNGjTRlyhT97ne/U/369SscOwAAAADAPd3Lsyer6hxLV2Ez7tb4gwphix2shHyHlZDvsBpyHlZCvsOusLBQDRs2VG5urhITE9W+ffsS8+Hh4UpOTtb+/fsVERFR5lqnTp1SUFCQPD099d133zmcY9m0aVNlZWXp+++/v+vjG1yBh7MDAAAAAAAAFefl5aUpU6ZIkqZMmVLivI/58+crOTlZPXr0KFEI+fOf/6zQ0FC9/vrrJdayn2NZWFioyZMn69q1a8Vz9nMsR4wY4RaFEMlN22QAAAAAALCCN954Qzt27FB8fLxatWqlnj176uTJk9q3b58CAgK0bNmyEtefP39eaWlpOnXqlMNaVjrHkp0hFpeamsr2OlgG+Q4rId9hNeQ8rIR8x818fHz0+eefa9asWfL19dWmTZt04sQJjR49WocOHVLLli3LvZb9HMsXXnhBhYWF2rhxo3JzczVlyhTt379fDRo0qMSvpGpxZggAAAAAALAUdoYAAAAAAABLoRgCAAAAAAAshWIIAAAAAACwFIohAAAAAADAUiiGAAAAAAAAS6EYAgAAAAAALIViSDURHx+v/v37q379+qpTp446deqkFStWVHid8+fPa8mSJZo4caIeeeQReXp6ymazac2aNbe8Z8yYMbLZbLd9ZWRklLivefPmZV5/5MiRCscP63Bmzp84caLM3G3cuHGZ73n06FFNmDBBzZs3l4+PjwIDA9WtWzfNmzevwvHDGpyZ7ydPntQrr7yiXr16KSgoSD4+PqpTp446dOigOXPmKD8//5b3fvLJJ3riiSfUoEED1axZUw0bNtTAgQO1c+fOCscO63Bmvl+/fl3r1q3Tq6++qp49e6p27dqy2Wz6zW9+c9v327Ztmx5//HHVq1dPvr6+atu2rebNm6dr165VOHZYhzPz3e6bb77R0KFDFRgYqFq1aqlt27Z6++23VVRUdMt7cnJy9NJLLyk4OFje3t4KDg7Wiy++qJycnArHDrgqT2cHgNvbuHGjhg4dqqKiIvXq1UsNGjTQzp07NWbMGCUlJWn+/PnlXisuLk4TJkyo0Pv36NHjlnNpaWlKSEhQcHCwmjZtWuo1o0ePLnXc39+/QnHAOpyd83aNGjVSZGSkw3hZubtx40aNGDFCV65cUfv27dW1a1dlZWXp66+/1v/+7/9q+vTpdxQL3Jez8/3rr7/W/Pnz1bhxY4WGhqpnz57Kzs5WQkKC3njjDa1du1a7d+9WvXr1Stw3f/58vfLKK7LZbOrevbvuv/9+HTt2TFu3btXWrVv13nvvlesvmLAWZ+f7jz/+qGHDhlU0bP3hD3/Qa6+9Jg8PD3Xu3FmBgYFKSEjQjBkztGPHDm3dulWennysRknOzndJSkhIUL9+/ZSfn69OnTqpefPm2r17t6ZNm6Yvv/xSH374oWw2W4l7srKy1LVrV3377bdq0aKFoqKilJqaqoULF+rjjz9WQkKCAgICKhwL4HIMXNqFCxeMv7+/kWRiY2OLx0+fPm1atmxpJJnPPvus3OvFx8ebyZMnm2XLlpmUlBQzatQoI8msXr36juJ7+umnjSTzH//xHw5zwcHBhhRDRblCzh8/ftxIMr17965Q7IcPHzZeXl4mICDA7Nmzp8Tc9evXzYEDByq0HtyfK+T7Dz/8YFJSUhzGc3NzTb9+/YwkM3PmzBJzZ8+eNV5eXsbLy8sh19evX29sNpvx9fU1P/74Y7ljh/tzhXzPy8szo0aNMgsXLjR79+417733npFknnvuuVves3//fmOz2UzNmjXNp59+Wjyek5NjevXqZSSZ//mf/yl33LAGV8j3q1evmpCQECPJzJ8/v3j8xx9/NF27djWSzNKlSx3us68dHR1trl69Wjz+wgsvGEnm17/+dbnjBlwZf1N1cX/84x+NJDN48GCHuQ0bNhhJZuDAgXe8/ujRo++4GJKbm2tq1aplJJlvvvnGYZ5iCO6EK+T8nRZDevbsaSSZzZs333F8sBZXyPeyxMXFGUkmIiKixPjmzZuNJBMZGVnqfeHh4UaS2bdv3x29L9yTK+b7smXLblsMefbZZ40kM2HCBIe5lJQUI8kEBgaaa9eu3VHccE+ukO/r1q0zkkx4eLjDXGJiopFkHn744RLjp06dMh4eHqZmzZrm9OnTJeYKCgpMYGCgqVGjhsMcUB1xZoiL27JliyQpJibGYW7AgAHy8fHRjh07VFBQUNWhKTY2VpcvX1ZERIRCQ0Or/P3hnlw558vyzTffaM+ePXrwwQc1cOBAZ4eDasLV871GjRqSJC8vrxLj3t7e5bq/fv369zwmVF+unu+38tVXX0mS+vTp4zAXFhamBg0a6Ny5c4qPj6/iyODKXCHfy4qhffv2atGihVJSUnTixIni8W3bthW39TRq1KjEPd7e3ho0aJCuX7+ubdu2VVrcQFWhGOLikpOTJUkdOnRwmPPy8tLDDz+sgoICpaWlVXVo+uCDDyRJI0eOLPO6efPm6Te/+Y1efPFFvf/++zp37lxVhIdqypVy/syZM5o9e7YmTpyo6dOna/369SosLCz1WvuBkY8//rgKCgq0YsUKvfDCC5o6daqWLFmiixcvVnq8qH5cKd9/Lj8/X3PmzJEkPfHEEyXmIiIi5O/vr88++0xxcXEl5jZs2KDk5GR169ZNLVu2rLJ44fpcOd/LcunSJUnSL37xi1Ln7UW/pKSkKosJrs8V8t2ek6XFcPP4zbl7J/cA1RUnPbmwixcvFp/YHBQUVOo1QUFBOnjwoDIyMhQeHl5lsX3//ffatWuXPD09NXz48DKvnTFjRonfv/zyy1q4cKGeffbZygwR1ZCr5fyRI0f05ptvlhhr1qyZ1q1bp86dO5cYT01NlSTVqlVLjzzyiMOHm9dff12xsbHq1atXpcaM6sPV8j07O1svv/yyJOncuXPat2+fsrKyNHjwYE2bNq3EtfXq1dOSJUv0zDPPqFevXsUHqB4/flwHDhxQZGSkli9fXqnxonpxtXyviMDAQH377bc6efKkw1xRUZG+++47SSrxr+uwNlfJd/uTHsuK4ebr7vQeoLpiZ4gLy8vLK/61r69vqdfUrl3b4dqqsHLlShUVFelXv/qVGjZsWOo1Tz75pDZs2KCTJ08qPz9fKSkpmjZtmq5cuaLx48dr06ZNVRozXJ+r5Ly3t7cmTZqkXbt26cyZM8rNzdXevXvVv39/ZWRkKDIy0uFDb3Z2tiRpwYIFunDhgjZs2KCcnBylpaVpxIgROn/+vKKionTq1KlKixvVi6vku92lS5e0YsUKrVixQh9//LGysrIUExOj999/X7Vq1XK4PiYmRtu2bVNAQIDi4uK0du1a7d+/Xw0bNtRjjz3GkwZQgqvle0X07t1bkkp9HOratWt1+fJlSTeeVANIrpPv9rUrEsOd3ANUVxRDXJgx5p5cUxnsLTKjRo265TULFy7UkCFD1KxZM9WqVUthYWF66623tHjxYknSzJkzqyRWVB+ukvNNmjTR4sWL1bt3bzVs2FB+fn7q0qWLtm7dqhEjRignJ0dz584tcc/169clSdeuXdMHH3ygIUOGyN/fXw8++KBWrlypiIgIZWdna9GiRZUeP6oHV8l3u6CgIBljVFRUpIyMDP31r39VXFyc2rVrp8TERIfr33rrLT3++OPq1auXkpOTlZeXp+TkZHXt2lXTp0+/o8eXwn25Wr5XxPPPPy9/f38lJCRozJgxOnr0qHJycrR27Vo9//zzxY/U9fDgYzVucLV8//mjc8uKwT5WkXuA6oo2GScbM2aMw1hUVJSioqJUt27d4rH8/Hz5+fk5XJufny9JqlOnTqXF+HNff/21vv76a/n5+enJJ5+s8P3jx4/XrFmz9K9//UvHjx/XAw88UAlRwlVVx5y/2W9/+1utWrVKn376aYlxe+z333+/fvnLXzrcN3bsWB04cEC7du2qijDhIqpjvttsNjVt2lTjxo1Tu3bt1KVLF40dO1aHDx8u/nD8xRdf6NVXX1WHDh304YcfFv8lsG3btlq/fr0iIiIUGxur7du3l/rnAe6pOuZ7edx///3auHGjYmJiindP2dn/jLz//vu3PFME7qk65HudOnWUnZ1dfO5NeWKwx16Re4DqimKIk5W25bJ58+aKioqSn5+f/P39lZubq8zMTLVp08bh2szMTEk3zjGoKn//+98lSU899VSpW6dvx8PDQyEhITp79qxOnTpFMcRiqmPO36xVq1aS5NDu0rx5c0lScHBwqffZ58+ePVtpscH1VPd8f/TRR9W6dWslJyfr+PHjatGihSTpb3/7myQpOjra4V/Da9SooejoaB06dEi7du2iGGIh1T3fy9K3b1+lp6dr7dq1Sk5OloeHhzp37qyhQ4fq17/+taQbT5aBdVSHfG/WrJmys7OVmZmpdu3alSsG+6/tc+W5B6iuKIY42e22moWHh2v37t1KTEx0+EF69epVpaSkyNvbW61bt67MMIsVFRVp9erVkspukbkd+/kKVJWtp7rl/M/dKnfbt28vSbpw4UKp92VlZZV6H9xbdc93SWrQoIGkG4eq2osh9g/Dpf1r583jt/rzAPfkDvlelnr16um5554rMXbt2jV98cUX8vDw4IBsi6kO+R4eHq6kpCQlJiaqf//+DvP2FsibCyX2w1xLa4+81T1AdUVzo4sbMGCAJGn9+vUOc1u2bFFBQYH69esnHx+fKoln165dyszMVNOmTYsPFKuo1NRUpaWlydfXV6Ghofc4QlR3rpbzPxcbGytJ6tixY4nxfv36qXbt2kpPTy9+ssDN7O0xt3pUHazJ1fP94sWLOnTokGw2W4ldfI0bN5YkHTx4sNT7Dhw4IOmnHVGA5Pr5fidWrlypM2fOKDIyUk2bNnV2OHAhrpDvZcVw6NAhHTt2TG3atCnx8z0yMlIeHh7as2ePw27WK1euaPPmzfLw8HB45DpQLRm4tKysLOPn52ckmdjY2OLxM2fOmJYtWxpJZseOHQ73tW7d2rRu3dpkZmaWuf7o0aONJLN69epyxTN27Fgjybz22mtlXvfJJ5+YgwcPOownJSWZhx56yEgyU6dOLdd7wlpcIedXrFhhvvvuO4fx2NhYU7duXSPJbNiwwWH+tddeM5LMgAEDTF5eXvH4tm3bjKenp7HZbGbfvn1lxgdrcYV8X7RokUlKSnIYz8zMNAMGDDCSzMCBA0vMbdiwwUgyNWrUMB999FGJuU2bNhkPDw/j4eFhjhw5UmZ8sBZXyPefW7ZsmZFknnvuuTKvO3jwoCkqKioxtn37dlO3bl3j4+NDrsOBK+R7YWGheeCBB4wkM3/+/OLxvLw807VrVyPJLFmyxOG+Z555xkgyTz31lLl69Wrx+NSpU40kM3LkyDJjA6oLiiHVwPr1642Hh4ex2WymT58+JiYmxtSrV6/MgoIkI8kcP37cYa5z587FrwYNGhhJpmXLlsVjkyZNKnXNy5cvF/9QT0lJKTPm2bNnG0kmODjYPPbYY2bYsGGmU6dOxtPT00gyvXv3NpcuXarw9wLW4Oyc7927t/Hw8DBt2rQx/fv3N9HR0SY0NLT4PaZPn15qDJcvXzbdu3c3kkyTJk1MVFSU6datm/Hw8DCSzJw5c+76ewP34wr5Lsm0adPGREdHm2HDhplu3boZb29vI8mEhYWZH374ocQ9RUVFZujQocVxPProo2bo0KHm0UcfLR4j31EaZ+e7McZMmjSpeL5FixZGkmnYsGGJtX4uODjYBAUFmSeeeMIMHz7ctG/f3kgytWrVMlu2bLnr7wvckyvk+5dffmlq1aplJJnOnTubp59+2jRp0sRIMlFRUeb69esO95w7d86EhIQYSSYkJMQMGzbMPPzww8W/P3fu3F1/bwBXQDGkmoiLizORkZGmXr16xtfX13Ts2NEsXbr0lteX9YPUPnerV+/evUtdc+3atUaSad++/W3jjY+PN+PGjTNt27Y1AQEBxtPT09SvX9/06dPH/OUvfzHXrl0r75cOi3Jmzn/wwQcmJibGtGzZ0vj5+ZmaNWua++67z0RHR5t//OMfZcZ95coVM2fOHPPQQw8Zb29v4+/vb/r168eHZZTJmfm+ZcsWM27cONOmTRvzi1/8wnh6epqAgADTu3dvs3DhQnP58uVSYygqKjJ//etfTa9evUy9evWMp6enadCggenfv7/Ztm3b3Xw74Oac/ZnGXgAs6/Vzv//9703nzp1N/fr1jZeXlwkODjYTJ0406enpd/OtgAU4O9+NMSYlJcU89dRTJiAgwHh7e5s2bdqYP/3pT2V+Hr9w4YJ54YUXTNOmTY2Xl5dp2rSpmTJlisnKyqrotwBwWTZjeFg0AAAAAACwDg5QBQAAAAAAlkIxBAAAAAAAWArFEAAAAAAAYCkUQwAAAAAAgKVQDAEAAAAAAJZCMQQAAAAAAFgKxRAAAAAAAGApFEMAAAAAAIClUAwBAAAAAACWQjEEAAAAAABYCsUQAAAAAABgKRRDAABwUWlpaXr77bc1fPhwtWjRQjabTTabTadPn67wWrt27Sq+3/7KycmRJM2YMUM2m03PPvvsbdc5efKkPDw8VKtWLV28eFGS9NJLL5VYt0+fPhWODwAAoCp5OjsAAABQuvfee0/vvPPOPV0zJCREPXr0kCR5eXlJkkaNGqV58+YpNjZWixYtko+Pzy3vX7VqlYwxGjx4sPz8/CRJnTp10ujRo5WXl6fY2Nh7Gi8AAEBlYGcIAAAuqm3btpo5c6ZiY2OVkZGh4ODgu16zR48eWr58uZYvXy5fX9/i9wkPD1dubq62bNlS5v0rV66UJI0cObJ4bMSIEVq+fLn+9Kc/3XV8AAAAVYGdIQAAuKjytK3cK6NGjVJSUpJWrlypmJiYUq85fPiwUlNTFRgYqMjIyCqLDQAA4F5jZwgAAFVk3bp1ioiIUK1atdSoUSONHTtWZ86c0ZgxY2Sz2bRr1y6nxTZixAjVqFFDH3/8sbKzs0u95oMPPpAkDRs2TJ6e/HsKAACoviiGAABQBRYsWKBhw4bp0KFD6t69u/r27at//OMf6tKlyy2LD1WpSZMm6tevnwoLC/Xhhx86zBcVFWnNmjWSbuwiAQAAqM4ohgAAUMmOHTummTNnysfHR59//rl27NihNWvW6OjRowoLC9NHH33k7BAl/VTksO8Audnnn3+u77//Xq1atVKnTp2qOjQAAIB7imIIAACVbOnSpSosLNTo0aPVs2fP4nEfHx+988478vBwjf8dDxkyRHXq1FFcXJxOnjxZYs5+cCq7QgAAgDtwjU9fAAC4sfj4eEnS0KFDHeZCQkLUvn37qg6pVLVr19aQIUNkjNGqVauKxwsKCoofmfvMM884KzwAAIB7hmIIAACV7IcffpAkNW3atNT5Zs2aVWU4ZbLv/LDvBJGkzZs36+LFi+revbtatGjhrNAAAADuGYohAABUEZvNVuq4MaaKI7m1fv366b777lNqaqoOHz4s6aczREaOHOnEyAAAAO4diiEAAFSyJk2aSJIyMjJKnf/uu++qMpwyeXh4aMSIEZJu7A65cOGCPvnkE3l5eenpp592cnQAAAD3BsUQAAAqWbdu3SRJ69evd5g7duyYDh06VNUhlcneKrN69WqtWbNGhYWF6t+/v+rXr+/kyAAAAO4NiiEAAFSysWPHqmbNmlq+fHnxYarSjYNJX3rpJRUVFTkxOkft2rVTu3bt9P333+s///M/JfEUGQAA4F4ohgAAUMlatmypuXPnqqCgQL169dLjjz+u4cOHq1WrVkpKStKgQYMkSV5eXiXuS0xMVJcuXYpfp06dkiQNGDCgeGzJkiWVErO9+JGVlaV69eppwIABlfI+AAAAzkAxBACAKvDqq69q9erVCg8P1549e/TZZ5+pb9++SkhI0OXLlyVJAQEBJe65ePGi9u3bV/wqLCyUdKNIYh/LzMyslHifeeYZ1ahRQ9KNRwJ7e3tXyvsAAAA4g6ezAwAAwCqGDx+u4cOHlxi7dOmSDh8+rNq1a6tly5Yl5vr06eO0J800adJE165dc8p7AwAAVDaKIQAAVIFjx44pICBA/v7+xWN5eXmaNGmSzp8/r3HjxhXvxKhMcXFxGjNmjCRp8eLF8vX1ves1V61ape3btysvL++u1wIAAKgKFEMAAKgC69at03/913+pY8eOCgoKUnZ2tg4dOqTz58+refPmmjt3bpXEkZ6ervT0dEnSggUL7kkxZP/+/VqxYsVdrwMAAFBVbMZZ+28BALCQAwcO6K233lJCQoLOnj0rY4yaNWumQYMGaebMmQoMDHR2iAAAAJZBMQQAAAAAAFgKT5MBAAAAAACWQjEEAAAAAABYCsUQAAAAAABgKRRDAAAAAACApVAMAQAAAAAAlkIxBAAAAAAAWArFEAAAAAAAYCkUQwAAAAAAgKVQDAEAAAAAAJZCMQQAAAAAAFgKxRAAAAAAAGApFEMAAAAAAIClUAwBAAAAAACWQjEEAAAAAABYyv8Dy8rav0Dv0BYAAAAASUVORK5CYII="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plot_csd(\n",
    "    csd=csd_occupations[:, :, 0],\n",
    "    volt_limits_g1=sweep_range_g1,\n",
    "    volt_limits_g2=sweep_range_g2,\n",
    "    title=\"Occupation of Dot 1\",\n",
    ")\n",
    "plot_csd(\n",
    "    csd=csd_occupations[:, :, 1],\n",
    "    volt_limits_g1=sweep_range_g1,\n",
    "    volt_limits_g2=sweep_range_g2,\n",
    "    title=\"Occupation of Dot 2\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "405f9038",
   "metadata": {},
   "source": [
    "#### All-in-one method"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "17b4d424",
   "metadata": {},
   "source": [
    "Instead of doing these steps by hand you can use `ideal_csd_geometric` instead."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "b5d7976b",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:40.591318Z",
     "start_time": "2023-12-12T15:00:38.582285700Z"
    }
   },
   "outputs": [],
   "source": [
    "# directly get occupation and transitions\n",
    "csd_occupations_2d_new, csd_transitions_2d_new = ideal_csd_geometric(\n",
    "    tct_params=specific_tct_params,\n",
    "    volt_limits_g1=sweep_range_g1,\n",
    "    volt_limits_g2=sweep_range_g2,\n",
    "    resolution=resolution,\n",
    "    rotation=rotation,\n",
    "    lut_entries=lut_entries,\n",
    "    cdf_type=cdf_type,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "a3b91c25",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:41.222477200Z",
     "start_time": "2023-12-12T15:00:40.599654Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1500x900 with 2 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 1500x900 with 2 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 1500x900 with 2 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the new occupations and transitions\n",
    "plot_csd(\n",
    "    csd=csd_transitions_2d_new, volt_limits_g1=sweep_range_g1, volt_limits_g2=sweep_range_g2, title=\"Lead Transitions\"\n",
    ")\n",
    "plot_csd(\n",
    "    csd=csd_occupations_2d_new[:, :, 0],\n",
    "    volt_limits_g1=sweep_range_g1,\n",
    "    volt_limits_g2=sweep_range_g2,\n",
    "    title=\"Occupation of Dot 1\",\n",
    ")\n",
    "plot_csd(\n",
    "    csd=csd_occupations_2d_new[:, :, 1],\n",
    "    volt_limits_g1=sweep_range_g1,\n",
    "    volt_limits_g2=sweep_range_g2,\n",
    "    title=\"Occupation of Dot 2\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3e7ad646",
   "metadata": {
    "tags": []
   },
   "source": [
    "## 1D simulation\n",
    "\n",
    "We will now have a look at the 1D simulation using TCTs. First, we will go through the algorithm step by step. Then, we will have a look at the function that allows us to carry out a simulation with a single function call."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "921f712a",
   "metadata": {},
   "source": [
    "### Step by step"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ce590a31",
   "metadata": {},
   "source": [
    "Run a one dimensional simulation without the simulation class to show what the class does internally."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "171b4ce5",
   "metadata": {},
   "source": [
    "#### Calculate occupation using the TCTs"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aee54081",
   "metadata": {},
   "source": [
    "Define the resolution and initialize the transition array."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "320f9526",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:41.229057800Z",
     "start_time": "2023-12-12T15:00:41.225115500Z"
    }
   },
   "outputs": [],
   "source": [
    "resolution_1d = np.array([100])\n",
    "\n",
    "# Initialize an empty numpy array which will be used to store the lead-dot transition line mask\n",
    "csd_transitions_1d = np.zeros(resolution_1d[::-1])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3f5c86d1",
   "metadata": {},
   "source": [
    "Calculate the electron occupation. For 1D, the occupations are calculated first and don't require the lead transition mask."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "3dbf511b",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:41.951625600Z",
     "start_time": "2023-12-12T15:00:41.232632300Z"
    }
   },
   "outputs": [],
   "source": [
    "# calculate the occupations\n",
    "csd_occupations_1d = get_electron_occupation(\n",
    "    csd=csd_transitions_1d,\n",
    "    volt_limits_g1=sweep_range_g1,\n",
    "    volt_limits_g2=sweep_range_g2,\n",
    "    bezier_coords=bezier_coords,\n",
    "    tct_functions=wf_functions,\n",
    "    rotation=rotation,\n",
    "    lut_entries=lut_entries,\n",
    "    cdf_type=cdf_type,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e6aa045",
   "metadata": {},
   "source": [
    "Plot the occupation of the two dots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "3d37c063",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:42.242674Z",
     "start_time": "2023-12-12T15:00:41.979018400Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1500x900 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 1500x900 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_csd(\n",
    "    csd=csd_occupations_1d[:, 0], volt_limits_g1=sweep_range_g1, volt_limits_g2=sweep_range_g2, title=\"Occupation of Dot 1\"\n",
    ")\n",
    "plot_csd(\n",
    "    csd=csd_occupations_1d[:, 1], volt_limits_g1=sweep_range_g1, volt_limits_g2=sweep_range_g2, title=\"Occupation of Dot 2\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c0b875f9",
   "metadata": {},
   "source": [
    "#### Calculate lead transition from occupation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6393e4d8",
   "metadata": {},
   "source": [
    "In the 1D case the order of operations is swapped (first occupation then lead transition calculation) contrary to the 2D case where the lead transitions are calculated first to then get the occupations. The reason for this is, that we can't use the lead transition mask to speed up the 1D occupation calculation by finding 2D-regions enclosed by TCTs. But instead we can use the occupations to simplify the calculation of the lead transition mask."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "fbeb74ae",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:42.253468200Z",
     "start_time": "2023-12-12T15:00:42.242674Z"
    }
   },
   "outputs": [],
   "source": [
    "csd_transitions_1d = generate_lead_transition_mask_1d(csd_occ=csd_occupations_1d)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "ab59251d",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:42.398011900Z",
     "start_time": "2023-12-12T15:00:42.258537Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1500x900 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_csd(\n",
    "    csd=csd_transitions_1d, volt_limits_g1=sweep_range_g1, volt_limits_g2=sweep_range_g2, title=\"Lead Transitions\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5cfd7d9a",
   "metadata": {},
   "source": [
    "### All-in-one method"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aa9c9df6",
   "metadata": {},
   "source": [
    "Again it is possible to use `ideal_csd_geometric` instead of doing these steps by hand."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "2781b941",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:43.133982700Z",
     "start_time": "2023-12-12T15:00:42.404708500Z"
    }
   },
   "outputs": [],
   "source": [
    "# directly get occupation and transitions\n",
    "csd_occupations_1d_new, csd_transitions_1d_new = ideal_csd_geometric(\n",
    "    tct_params=specific_tct_params,\n",
    "    volt_limits_g1=sweep_range_g1,\n",
    "    volt_limits_g2=sweep_range_g2,\n",
    "    resolution=resolution_1d,\n",
    "    rotation=rotation,\n",
    "    lut_entries=lut_entries,\n",
    "    cdf_type=cdf_type,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "563cae5e",
   "metadata": {},
   "source": [
    "Plot the transitions and occupations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "a4a64a89",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:43.536717900Z",
     "start_time": "2023-12-12T15:00:43.146375300Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1500x900 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 1500x900 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 1500x900 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the new occupations and transitions\n",
    "plot_csd(\n",
    "    csd=csd_transitions_1d_new, volt_limits_g1=sweep_range_g1, volt_limits_g2=sweep_range_g2, title=\"Lead Transitions\"\n",
    ")\n",
    "plot_csd(\n",
    "    csd=csd_occupations_1d_new[:, 0],\n",
    "    volt_limits_g1=sweep_range_g1,\n",
    "    volt_limits_g2=sweep_range_g2,\n",
    "    title=\"Occupation of Dot 1\",\n",
    ")\n",
    "plot_csd(\n",
    "    csd=csd_occupations_1d_new[:, 1],\n",
    "    volt_limits_g1=sweep_range_g1,\n",
    "    volt_limits_g2=sweep_range_g2,\n",
    "    title=\"Occupation of Dot 2\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c012ab6a-264c-4eb4-a5e4-eb4ac9fa3fd4",
   "metadata": {},
   "source": [
    "## Simulation of the interdot transition (using CDFs)\n",
    "The occupation probability in regions affected by the interdot tunnel coupling is simulated with the help of Cumulative Distribution Functions (CDFs). The CDF is applied perpendicular to the interdot vector (see [Generating further TCTs by shifting waveforms according to known interdot vector](#sec:shift_vec)) to simulate the smooth/blurred transition. SimCATS comes with implementations for Cauchy and Sigmoid/Logistic CDFs."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9dbb8db1-9685-4fea-a203-cb9df5b3a2e4",
   "metadata": {},
   "source": [
    "### Cauchy CDF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "3f5ccb4c",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:43.667881100Z",
     "start_time": "2023-12-12T15:00:43.543975100Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1500x900 with 1 Axes>",
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABNgAAAL1CAYAAAAVVFmuAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAABcSAAAXEgFnn9JSAABjfklEQVR4nO3deZxddX0//tckmSRMVgjZIAmBQEAjQSKLkUUU2RRlEbVaK4pf7Ve/oBbbWiyIxbr0V8W91W/rF9SqRaFgUUFlEcFIIASIRAwQCCGQkI0QkjBZmPv743ayTpIzuffOnZn7fD4e5zF3znmfM++0N9fhlc/SVCqVSgEAAAAA9kifejcAAAAAAD2ZgA0AAAAAKiBgAwAAAIAKCNgAAAAAoAICNgAAAACogIANAAAAACogYAMAAACACgjYAAAAAKACAjYAAAAAqICADQAAAAAqIGADAAAAgAoI2AAAAACgAv3q3UC9jBkzJmvXrs2ECRPq3QoAAAAAdbRw4cIMGjQoS5Ys2aP7G3YE29q1a7Nx48Z6twEAAABAnW3cuDFr167d4/sbdgRb+8i1uXPn1rkTAAAAAOppypQpFd3fsCPYAAAAAKAaBGwAAAAAUAEBGwAAAABUQMAGAAAAABUQsAEAAABABQRsAAAAAFABARsAAAAAVEDABgAAAAAVELABAAAAQAUEbAAAAABQAQEbAAAAAFRAwAYAAAAAFahKwHbfffflC1/4Qs4999zsv//+aWpqysCBA/f4eatWrcrHPvaxHHDAARkwYEAOOOCAfPSjH82qVauq0S4AAAAAVE2/ajzkM5/5TH76059W41FZsWJFpk+fnkcffTQHHXRQzj777MydOzdf+9rX8otf/CJ33313RowYUZWfBQAAAACVqsoItunTp+dTn/pUbrzxxixZsqSiZ/3VX/1VHn300Zx77rmZN29errnmmjz00EO56KKL8thjj+Xiiy+uRssAAAAAUBVNpVKpVPWHNjVlwIABaW1t7dR9S5Ysyf7775++ffvmqaeeyujRozdfW79+fcaPH5+VK1fm6aef3ubanpgyZUqSZO7cuRU9BwAAAICerdKcqFttcnDTTTelra0tJ5544g4B2oABA/LmN785L730Um666aY6dQgAAAAA2+pWAduDDz6YJJk2bVqH19vPt9cBAAAAQL11q4Bt4cKFSZJx48Z1eL39fHsdAAAAANRbVXYRrZY1a9YkSVpaWjq8PmjQoG3qimifQ7u9+fPnZ9KkSZ3sEAAAAAC21a1GsLXvt9DU1LTL6wAAAADQXXSrEWxDhgxJkqxdu7bD6+vWrUuSDB48uPAzd7b7w85GtgEAAABAZ3SrEWwTJkxIkixatKjD6+3n2+sAAAAAoN66VcB2xBFHJElmz57d4fX281OnTu2yngAAAABgV7rVFNHTTz89ffr0yZ133pmlS5dm1KhRm6+tX78+N954Y/r06ZMzzjijjl0CAAAA9BKlUvLSS+Vj06YdX299bnfH+PHlowHVJWD7xje+kW984xs555xz8vnPf37z+bFjx+ad73xnfvCDH+TDH/5w/vM//zP9+pVb/Nu//dssW7Ys7373uzNmzJh6tA0AAACwc6VS0tZWDqU2bUo2buw4pGq/3lGwVevr2wdnbW3V+/O/5S0Ctkr8/Oc/z2c+85ltzm3YsCGvfvWrN39/2WWX5U1velOSZPny5Zk3b14WL168w7O+8pWv5O677851112Xww47LEcddVTmzp2bhx56KJMmTcqXv/zlarQMAAAA9GSl0pYgaetAqz04an+9s6PI9fYgqjO1pVK9/y9TPy+9VO8O6qYqAduyZcsyc+bMbc6VSqVtzi1btqzQs/bdd9/ce++9ufzyy3PDDTfk+uuvz+jRo3PhhRfmH/7hH7LPPvtUo2UAAACgEu2jtTZu3PFoD502bNjyemfHnl5v4DCn22rg/580lUqNGa1OmTIlSTJ37tw6dwIAAABV0j6qa8OGHY/2wGtnx/bXO/p++7CrMSMFduaUU5Lzzqt3F3uk0pyoW21yAAAAAL1aqVQOptav3/WxYUPS2lr+2v590YAM6qWBR7AJ2AAAAKAjbW3lkGv7o0ggtvXr7euM+qK3ErABAABAL7CzUKyj48UXy6HXiy92fN1oMOgcARsAAADUWfv6YevWlUOv7b+2v97Z+RdfFIpBPQnYAAAAoApKpXLItXZtx8fW4VhHAdmmTfX+EwB7SsAGAAAA29k6KFuzphyCbf16zZotodnWr4Vk0JgEbAAAAPRqpVJ5vbE1a5IXXigfW7/e+vs1a5LVq8u7UgL10dSU9OuX9O275ejXb9tzHb2u1fUiR7/GjZka908OAADQ05VK5VFjq1cnzz9fPtpfdxSgGVkGW7QHWFsfzc1bQqX21zs7OlO7J+FWnz71/r8QnSBgAwAA6G42btwxNNv6+63PNfCULHqopqakf/8tIdXOjqLX24OpIoHY1rUCLKpIwAYAANBVSqXyQv6rViXPPbfl2Pr7VavK65hBV+jXrxx29e9fDp3aX+/s+44Crs6GZX371vtPDVUnYAMAAKiW1tZkxYrysbPwbP36endJT9CnTzm4Gjhw25BrZ8fuwrGd3WMUF1SFgA0AAKCoF1/cEqB1dKxdW+8O6WrtI8AGDNj5sXVQVrSuX7/yVEqgRxCwAQAAtGtrS1auTJYuLR/LliXLl28J0Ezd7B0GDCgHWe3HXntt+/321wYM2FLTfm97KGa6IxABGwAA0GheeqkclrUHaNuHaTYN6L769k1aWsrHXnuVj+2/LxKWGRkGVJmADQAA6J3Wrk2WLEkWLy4fS5Ykzz5bDtfa2urdXWPq168chg0atG1A1lFQtvX59q+mTQLdlIANAADouUql5PnntwRo7WHa4sXJCy/Uu7veq2/fckg2aFAyeHA5/Bo8uPz9rl737y8gA3olARsAANAztLYmTz9dPhYtKh9PP10+z55raiqHYEOGbPnafgwevOVoD9QGDRKUAWxHwAYAAHQvpVJ5PbStg7RFi8rro1FMe0A2dOi24dn23w8ZUg7MhGUAFRGwAQAA9dMepj35ZLJgQfnrwoXJ+vX17qz7aW5Ohg0rH0OHbvt66++HDLGzJUAXE7ABAABdo1RKVq7cNkx78snkxRfr3Vl99e2bDB+e7L13+Rg+fMuxdXBm90uAbkvABgAA1MbGjeXRaPPnbzkabeOB5uYtwVl7eLb96yFDBGcAPZyADQAAqI7Vq7cN0xYuTDZtqndXtTVgQLLvvsmIER0f1jcDaAgCNgAAYM+88EIyb96W49ln691R9TU3JyNHlkO0joK0lhYBGgACNgAAoKC1a5NHHtkSqD3zTL07qo4BA8oh2qhRW762vx4+XIAGwG4J2AAAgI61tSWPP57MnZs89FDy1FPljQp6oj59yoHZ2LHJmDHJ6NFbwrShQ4VoAFREwAYAAGyxatWWQO3hh3veDp/NzeUAbezYLWHa2LHlMK2f//wBoDb8LwwAADSyUqk8Mu2BB5IHH0wWLap3R8X07VsOzvbfPxk3Ltlvv/L3++xjNBoAXU7ABgAAjaatLXnssXKo9sADyYoV9e5o14YOLYdo7cf++5dHphmRBkA34X+RAACgEbz0UvLHPyazZydz5iRr1tS7o47ts09ywAFbjvHjkyFD6t0VAOySgA0AAHqrUqk8Uu2ee5L77ivvAtqdDB++bZh2wAHCNAB6JAEbAAD0JqVSeR21e+5J7r03ee65endU1q9fMmFCMmlS+TjwwHLABgC9gIANAAB6g7Vrk5kzk9/9rntsVDBkyJYwbdKkcrjW3FzvrgCgJgRsAADQU5VKybx5yV13Jfffn2zaVL9ehgxJDj10yzFqlN08AWgYAjYAAOhpXnihHKrddVeyfHl9ehg0aNtAbcwYgRoADUvABgAAPcWTTya3315eW62rR6v16ZMcfHDyilckL395Mm6cQA0A/oeADQAAurO2tmT27OS225L587v2Z++9dzlQe8UrksMOSwYO7NqfDwA9hIANAAC6o40byxsW/OpXyYoVXfdzJ05MXvnK5IgjkrFjjVIDgAIEbAAA0J2sW5fccUdy663ltdZqrU+fZPLk5Mgjy6Ha3nvX/mcCQC8jYAMAgO5g7dryaLXf/CZpba3tz+rbN5kyJXnVq5LDDy9vWAAA7DEBGwAA1FNra3LLLcmvf13bYK2pKTnkkOSYY5Jp04RqAFBFAjYAAKiH9evLo9V++cvy6LVaGTcumT49OeqoZPjw2v0cAGhgAjYAAOhKbW3J73+f3HBDsnp1bX7GXnuVR6odf3wyYUJtfgYAsJmADQAAusqjjybXXJM89VRtnj95cjlUO/LIpH//2vwMAGAHAjYAAKi1FSuS665L7ruv+s8eODB5zWuSk05KRo+u/vMBgN0SsAEAQK1s3JjcfHP52LSpus8ePTp53evK66sNHFjdZwMAnSJgAwCAWnjkkeQ//iN59tnqPvfQQ5PTTkte/vLyzqAAQN0J2AAAoJrWri1PB/3d76r73Fe+shysHXRQdZ8LAFRMwAYAANXy4IPJ97+fvPBCdZ7X1JQce2xy+unJ2LHVeSYAUHUCNgAAqFRra/LjH1dv1FpTU3LUUcmb32zjAgDoAQRsAABQiUceSa6+urxTaDUccURy1lnJ/vtX53kAQM0J2AAAYE+0tSU33pjcdFNSKlX+vIMPTt72tmTixMqfBQB0KQEbAAB01vPPJ//+7+XRa5UaMSJ561uTadPsCgoAPZSADQAAOuNPfyqHa5VuZDBgQHLGGckb3pA0N1enNwCgLgRsAABQRKlUng763/9d+ZTQo44qTwcdPrwqrQEA9SVgAwCA3dmwIfnud5NZsyp7zj77JO96V3L44dXpCwDoFgRsAACwK6tWJf/yL8mTT+75M5qakpNPTt7ylvLUUACgVxGwAQDAzixYUA7Xnn9+z5+x777JBRckkyZVrS0AoHsRsAEAQEfmzEn+7/9NNm7c82eceGJy3nlGrQFALydgAwCA7d19d3nNtba2Pbt/yJDkve9NXvGKqrYFAHRPAjYAANjaLbckP/nJnt8/eXLy/vfbIRQAGoiADQAAkqRUSn760+Smm/b8GWecUd7IoE+f6vUFAHR7AjYAACiVkmuuSW6/fc/ub2kpj1ozJRQAGpKADQCAxlZpuDZmTPJ//k8yalR1+wIAegwBGwAAjatUKq+3tqfh2pQpyf/6X+URbABAwxKwAQDQmEql5Lrrkltv3bP7X//65G1vs94aACBgAwCgQd18c/LrX+/ZvW9/e3LyydXtBwDosQRsAAA0nrvuSm64ofP39emTnH9+8upXV70lAKDnErABANBY7r8/+Y//6Px9zc3JBz+YTJ1a/Z4AgB5NwAYAQOOYPz/5938vr7/WGQMHJhdemBxySG36AgB6NAEbAACNYcWK5F//Ndm0qXP3DRyYfOxjyYEH1qQtAKDns+URAAC9X2tr8o1vJC+80Ln7BgxIPvpR4RoAsEsCNgAAere2tvK00Gee6dx97eHaQQfVpi8AoNcQsAEA0Lv99KfJH/7QuXv69k0+9KFk0qTa9AQA9CoCNgAAeq8HH0xuvrlz9zQ1JRdckLzsZbXpCQDodQRsAAD0TsuXJ1df3fn7/uzPkqOOqno7AEDvJWADAKD32bgx+fa3k3XrOnffaaclJ51Uk5YAgN5LwAYAQO/z4x8nCxd27p4jjkjOOac2/QAAvZqADQCA3uXBB5Pf/rZz94wbl7z//eX11wAAOknABgBA77F6dfL973funiFDkv/zf5IBA2rTEwDQ6wnYAADoHUql5HvfS154ofg9TU3JBz+Y7LNP7foCAHo9ARsAAL3DnXcmf/hD5+4555xk8uTa9AMANAwBGwAAPd/y5clPftK5e6ZOTU49tTb9AAANRcAGAEDPViol//EfyYYNxe8ZMSJ53/tsagAAVIWADQCAnm3mzOThh4vXNzWVdwxtaaldTwBAQxGwAQDQc73wQvLjH3funjPOSCZNqk0/AEBDErABANBz/eQnydq1xesPOCA588za9QMANCQBGwAAPdPDD5enhxbV3JxccEHSt2/tegIAGpKADQCAnuell5JrruncPWefnYwZU5N2AIDGJmADAKDnueOOZPHi4vUHHJC8/vW16wcAaGgCNgAAepY1a5Ibbyxe36dP8p73lL8CANSA3zIAAOhZfvrTZN264vWnnZaMG1e7fgCAhidgAwCg51i0KLnzzuL1o0Ylb3pT7foBAIiADQCAnuS//isplYrXv+Md5d1DAQBqSMAGAEDP8Mgjydy5xetf8YryAQBQYwI2AAC6v1IpueGG4vV9+iRve1vN2gEA2JqADQCA7m/u3GT+/OL1r399MmZM7foBANiKgA0AgO6ts6PXBg+2sQEA0KUEbAAAdG+zZydPPVW8/swzk5aW2vUDALAdARsAAN1XqZTceGPx+hEjkhNOqF0/AAAdELABANB9PfBAsnhx8fozz0z69atZOwAAHRGwAQDQPZVKyc03F68fMyZ59atr1w8AwE4I2AAA6J7mzUsWLChef9ZZSR+/3gIAXc9vIAAAdE+dGb02fnxy5JG16wUAYBcEbAAAdD9PPpk8/HDx+jPPTJqaatcPAMAuCNgAAOh+brqpeO3YsckRR9SuFwCA3RCwAQDQvSxdWt49tKjTTjN6DQCoKwEbAADdyx13lHcQLWLvvZNjjqltPwAAuyFgAwCg+1i/Pvnd74rXn3pq0rdv7foBAChAwAYAQPdxzz3Jiy8Wqx08ODn++Nr2AwBQgIANAIDuoVRKbr+9eP3rXpf071+7fgAAChKwAQDQPTz6aPL008Vq+/ZNTjyxtv0AABQkYAMAoHvozOi1o45Khg6tXS8AAJ0gYAMAoP6eey554IHi9SedVKtOAAA6rWoBW2tray6//PJMnjw5AwcOzH777ZcLLrggixYt6vSzbr755pxxxhnZd99909zcnFGjRuXMM8/MrbfeWq12AQDoTmbMSNraitUecEBy4IG17QcAoBOqErC1trbm5JNPzhVXXJE1a9bkrLPOyvjx43PVVVdl2rRpmT9/fuFnXXnllTnjjDPyy1/+Mi972cvy1re+NRMnTszPf/7zvOENb8i3vvWtarQMAEB3USqVA7aiTjopaWqqWTsAAJ1VlYDtc5/7XGbMmJHp06fnkUceyTXXXJOZM2fmS1/6UpYtW5YLLrig0HOWLVuWSy65JP37989vf/vb3HnnnfnP//zP3HPPPbn22mvT1NSUj3/841mzZk012gYAoDt47LFk+fJitYMGJUcfXdt+AAA6qeKAbePGjfn617+eJPnmN7+ZwYMHb7528cUXZ+rUqfntb3+b++67b7fPmjlzZjZs2JDXv/71Of7447e59ta3vjVTp07NunXr8sc//rHStgEA6C46M3rt+OOT5uba9QIAsAcqDtjuuuuurFq1KpMmTcqRRx65w/XzzjsvSXLjjTfu9lkDBgwo9DP32WefzjUJAED3tH59UuAfYjfb7h9hAQC6g4oDtgcffDBJMm3atA6vt59vr9uVo48+OsOGDcttt92Wu+66a5tr//Vf/5U5c+bkNa95TQ4++OAKuwYAoFu4775yyFbEwQcno0bVth8AgD3Qr9IHLFy4MEkybty4Dq+3n2+v25Xhw4fn3//93/Pnf/7nOfHEE3Pcccdl//33zxNPPJF77703p59+eq6++upKWwYAoLvozPTQ17ymdn0AAFSg4oCtfcOBlpaWDq8PGjRom7rdOe+887LPPvvkHe94xzaj2EaPHp3Xv/71GTFiRKf6mzJlSofn58+fn0mTJnXqWQAAVNGyZcmjjxar7d8/edWratsPAMAeqniKaKlUSpI07WSr9PbrRX3pS1/KKaeckhNPPDFz5szJmjVrMmfOnEyfPj1/8zd/k3e84x2VtgwAQHdw993Fa6dNSwYOrF0vAAAVqHgE25AhQ5Ika9eu7fD6unXrkmSb3UV35o477shf//VfZ9q0afnJT36SPn3K+d/hhx+ea6+9NkcffXSuu+66/OpXv8qpp55aqL+5c+d2eH5nI9sAAOgCpVJyzz3F6487rna9AABUqOIRbBMmTEiSLFq0qMPr7efb63ble9/7XpLk3HPP3Ryutevbt2/OPffcJMlvfvObPW0XAIDu4KmnkqVLi9Xuu29yyCG17QcAoAIVB2xHHHFEkmT27NkdXm8/P3Xq1N0+qz2MGzp0aIfX28+vXLmy030CANCN3Htv8drp05OdLEcCANAdVBywHXfccRk2bFjmz5+f+++/f4fr1157bZLkzDPP3O2zxowZkySZNWtWh9fv/Z9fxCZOnLiH3QIAUHelUrKT3/c6dOyxtesFAKAKKg7Y+vfvnwsvvDBJcuGFF26zFtuVV16ZOXPm5Pjjj8/RRx+9+fw3vvGNHHbYYbnkkku2edbZZ5+dJPnBD36QG2+8cZtrP/3pT/PDH/4wffr0yTnnnFNp2wAA1MvjjydFZyRMnJiMHFnTdgAAKlXxJgdJcumll+aWW27JjBkzcsghh+SEE07Ik08+mZkzZ2bEiBG56qqrtqlfvnx55s2bl8WLF29z/uyzz87b3va2/OQnP8lb3vKWHHXUUTnwwAPzxBNPbB7V9tnPfjaHHnpoNdoGAKAeOjM9dKt/pAUA6K4qHsGWJAMHDsztt9+eyy67LC0tLbnhhhuyYMGCnH/++bn//vtz8MEHF3pOU1NTrrnmmnznO9/JiSeemMceeyzXX399FixYkDe+8Y256aab8slPfrIaLQMAUA+lUtLBsiI79apX1a4XAIAqaSqVSqV6N1EPU6ZMSZLMnTu3zp0AADSQBQuSz3++WO0hhyR//dc1bQcAIKk8J6rKCDYAAChkJzvPd+ioo2rXBwBAFQnYAADoGp2ZHtrUlEybVtt+AACqRMAGAEDXWLw4Wbq0WO1BByVDh9a2HwCAKhGwAQDQNR54oHjtkUfWrA0AgGoTsAEA0DU6s3uogA0A6EEEbAAA1N6qVcnChcVqx41L9t23pu0AAFSTgA0AgNp76KHitUavAQA9jIANAIDa+8Mfite+8pU1awMAoBYEbAAA1NamTcnDDxer3XvvZP/9a9sPAECVCdgAAKitRx9N1q8vVnv44UlTU237AQCoMgEbAAC11ZnpoYcfXrs+AABqRMAGAEBtFQ3YmpuTww6rbS8AADUgYAMAoHaWLUuWLi1We+ihSf/+te0HAKAGBGwAANRO0c0NEtNDAYAeS8AGAEDt/PGPxWsFbABADyVgAwCgNtrakj/9qVjt6NHJiBG17QcAoEYEbAAA1MaCBcmLLxarffnLa9oKAEAtCdgAAKiNzkwPFbABAD2YgA0AgNoousFBnz7J5Mm17QUAoIYEbAAAVF9ra/L448VqJ01KBg6sbT8AADUkYAMAoPoee6y8yUERL3tZbXsBAKgxARsAANU3b17xWuuvAQA9nIANAIDqe+SRYnV77ZUccEBtewEAqDEBGwAA1dXamjz5ZLHaQw4pb3IAANCD+W0GAIDqeuyxpFQqVnvoobXtBQCgCwjYAACors6svzZ5cu36AADoIgI2AACqq2jAttdeybhxte0FAKALCNgAAKieF19MFi4sVmv9NQCgl/AbDQAA1TN/vvXXAICGI2ADAKB6HnuseK311wCAXkLABgBA9RQN2Ky/BgD0IgI2AACqY9OmZMGCYrWTJll/DQDoNfxWAwBAdTz1VLJxY7HaSZNq2wsAQBcSsAEAUB3z5xevPfjg2vUBANDFBGwAAFRH0fXX+vRJJk6saSsAAF1JwAYAQOVKpeIj2CZMSPr3r20/AABdSMAGAEDlli1LVq8uVmv9NQCglxGwAQBQuccfL15r/TUAoJcRsAEAULnOBGxGsAEAvYyADQCAyi1YUKxu332TYcNq2goAQFcTsAEAUJmNG5OnnipWe9BBte0FAKAOBGwAAFRm4cKkra1Y7cSJNW0FAKAeBGwAAFSm6PTQJDnwwJq1AQBQLwI2AAAq88QTxer69k3Gj69tLwAAdSBgAwCgMkUDtvHjk+bm2vYCAFAHAjYAAPbcCy8ky5cXq7X+GgDQSwnYAADYc9ZfAwAQsAEAUAEBGwCAgA0AgAo8+WSxupaWZNSo2vYCAFAnAjYAAPZc0YBt4sSkqammrQAA1IuADQCAPfP888nq1cVqDzigtr0AANSRgA0AgD1TdPRakkyYULs+AADqTMAGAMCeWbiweK0RbABALyZgAwBgzxQN2Fpakn32qW0vAAB1JGADAGDPFJ0iesABNjgAAHo1ARsAAJ23enWyalWxWuuvAQC9nIANAIDO68z6awI2AKCXE7ABANB5AjYAgM0EbAAAdF7RgG2vvZKRI2vbCwBAnQnYAADovKefLlY3frwNDgCAXk/ABgBA56xfnyxbVqzW9FAAoAEI2AAA6JxnnklKpWK148bVthcAgG5AwAYAQOcsWlS8VsAGADQAARsAAJ1TdP21Pn2SMWNq2wsAQDcgYAMAoHOKjmAbMyZpbq5tLwAA3YCADQCA4kql4iPY9t+/tr0AAHQTAjYAAIpbtSpZt65YrfXXAIAGIWADAKA4GxwAAOxAwAYAQHGdCdhMEQUAGoSADQCA4oquv9bSkgwfXtNWAAC6CwEbAADFFR3BNm5c0tRU214AALoJARsAAMVs3Jg8+2yxWtNDAYAGImADAKCYJUuStrZitTY4AAAaiIANAIBi7CAKANAhARsAAMUUDdiampKxY2vbCwBANyJgAwCgmKI7iI4cmQwYUNteAAC6EQEbAADFFA3YTA8FABqMgA0AgN1buzZZvbpYrR1EAYAGI2ADAGD3liwpXrvffrXrAwCgGxKwAQCwe4sXF6+1wQEA0GAEbAAA7F7RgK1Pn2TUqNr2AgDQzQjYAADYvaIB2+jRSd++te0FAKCbEbABALB7RQM200MBgAYkYAMAYNfWr09WrixWO2ZMbXsBAOiGBGwAAOyaHUQBAHZJwAYAwK51ZgdRI9gAgAYkYAMAYNeKBmxNTQI2AKAhCdgAANi1ogHbiBFJc3NtewEA6IYEbAAA7FrRgM36awBAgxKwAQCwcxs3JsuWFas1PRQAaFACNgAAdm7p0qRUKlY7dmxtewEA6KYEbAAA7FxndhAVsAEADUrABgDAzgnYAAB2S8AGAMDOFQ3Yhg9PBg6saSsAAN2VgA0AgJ0rGrAZvQYANDABGwAAHWtrK29yUISADQBoYAI2AAA6tmJFsmlTsVoBGwDQwARsAAB07Nlni9eOGVO7PgAAujkBGwAAHROwAQAUImADAKBjRddfGzAgGTKktr0AAHRjAjYAADpWdATb6NFJU1NtewEA6MYEbAAAdKwzARsAQAMTsAEAsKONG5OVK4vVCtgAgAYnYAMAYEdF119LklGjatcHAEAPIGADAGBHndlB1Ag2AKDBCdgAANhRZwI2I9gAgAYnYAMAYEdFp4gOGZK0tNS2FwCAbk7ABgDAjuwgCgBQmIANAIAdFR3BJmADABCwAQCwnXXrkhdeKFZr/TUAAAEbAADbKTp6LTGCDQAgAjYAALbXmR1EBWwAAAI2AAC2UzRga2pKRo6sbS8AAD1A1QK21tbWXH755Zk8eXIGDhyY/fbbLxdccEEWLVq0R8977LHH8oEPfCATJ07MwIEDM3LkyLzmNa/JP//zP1erZQAAOlI0YNtnn6S5uba9AAD0AFUJ2FpbW3PyySfniiuuyJo1a3LWWWdl/PjxueqqqzJt2rTMnz+/U8+7/vrrc/jhh+c73/lORowYkXPOOSdHHnlknnjiiXz729+uRssAAOxM0YDNBgcAAEmSftV4yOc+97nMmDEj06dPz69+9asMHjw4SXLllVfm4x//eC644ILccccdhZ714IMP5s/+7M8yZMiQ/PrXv87xxx+/+VpbW1tmz55djZYBAOhIqVR8kwPrrwEAJKnCCLaNGzfm61//epLkm9/85uZwLUkuvvjiTJ06Nb/97W9z3333FXreRRddlA0bNuTqq6/eJlxLkj59+uSoo46qtGUAAHbm+eeT9euL1QrYAACSVCFgu+uuu7Jq1apMmjQpRx555A7XzzvvvCTJjTfeuNtnPfzww7nzzjszefLknHnmmZW2BgBAZxUdvZYI2AAA/kfFU0QffPDBJMm0adM6vN5+vr1uV2699dYkySmnnJLW1tZcc801mTVrVpqamjJ16tS8/e1vz9ChQyttGQCAnVm2rHitNdgAAJJUIWBbuHBhkmTcuHEdXm8/3163K3Pnzk2S7LXXXnnlK1+ZefPmbXP9kksuyXXXXZcTTzyxkpYBANiZogFbnz7JiBG17QUAoIeoeIromjVrkiQtLS0dXh80aNA2dbvy3HPPJUm+8pWvZOXKlfmv//qvrFq1KvPmzcu73vWuLF++PGeffXYWL15cuL8pU6Z0eHR2Z1MAgIZQNGAbMaIcsgEAUHnAViqVkiRNTU27vF7ESy+9lCTZtGlT/uM//iPnnHNOhg0blsmTJ+cHP/hBjj766Dz33HP55je/WWnbAAB0pGjAZnooAMBmFU8RHTJkSJJk7dq1HV5ft25dkmyzu+junrX//vvn1FNP3eH6+973vtx77735zW9+U7i/9mmn25syZUrhZwAANIRSqfgmByNH1rYXAIAepOIRbBMmTEiSLFq0qMPr7efb63Zl4sSJSZIDDjhgl9eXdmZ3KwAAilm3LnnxxWK1AjYAgM0qDtiOOOKIJMns2bM7vN5+furUqbt91pFHHpkkWblyZYfXV6xYkaTYaDgAADqpMzuICtgAADarOGA77rjjMmzYsMyfPz/333//DtevvfbaJMmZZ56522edfPLJGTRoUObPn5+nnnpqh+vtU0OnTZtWWdMAAOxIwAYAsEcqDtj69++fCy+8MEly4YUXbrMW25VXXpk5c+bk+OOPz9FHH735/De+8Y0cdthhueSSS7Z5VktLSy666KJs3LgxH/rQh7Z51s0335zvfve7aWpqygc/+MFK2wYAYHsCNgCAPVLxJgdJcumll+aWW27JjBkzcsghh+SEE07Ik08+mZkzZ2bEiBG56qqrtqlfvnx55s2bl8WLF+/wrMsvvzx33nlnfv7zn+eQQw7Jsccem6VLl+buu+9OW1tbPvvZz+aYY46pRtsAAGyt6Dq3w4cnzc01bQUAoCepeARbkgwcODC33357LrvssrS0tOSGG27IggULcv755+f+++/PwQcf3Kln3XbbbfnsZz+b4cOH56abbsrcuXPzute9Lj/72c/yyU9+shotAwCwvaIj2IxeAwDYRlOpVCrVu4l6mDJlSpJk7ty5de4EAKCb+Nu/TZ5/fvd1r3lNcv75te8HAKCLVJoTVWUEGwAAPdz69cXCtcQINgCA7QjYAABIli8vXitgAwDYhoANAAA7iAIAVEDABgBA5wK2UaNq1wcAQA8kYAMAoHjA1tJSPgAA2EzABgBAsnRpsTrTQwEAdiBgAwCg+Ag2ARsAwA4EbAAAje6ll5KVK4vVWn8NAGAHAjYAgEa3cmXS1las1gg2AIAdCNgAABpd0fXXEgEbAEAHBGwAAI1u+fLitQI2AIAdCNgAABpd0YCtuTkZNqy2vQAA9EACNgCARlc0YNt336Spqba9AAD0QAI2AIBGVzRgGzGitn0AAPRQAjYAgEbXmRFsAADsQMAGANDIXnwxWbeuWK2ADQCgQwI2AIBG1pkdRAVsAAAdErABADQyARsAQMUEbAAAjWzFiuK1AjYAgA4J2AAAGlnREWwtLclee9W2FwCAHkrABgDQyOwgCgBQMQEbAEAjE7ABAFRMwAYA0KhKpeJrsAnYAAB2SsAGANCoXngh2bChWO2IEbXtBQCgBxOwAQA0qqLTQxMj2AAAdkHABgDQqARsAABVIWADAGhUnQnYTBEFANgpARsAQKMqGrANG5Y0N9e2FwCAHkzABgDQqOwgCgBQFQI2AIBGVXQEm4ANAGCXBGwAAI2orS1ZubJYrfXXAAB2ScAGANCInnuuHLIVYQQbAMAuCdgAABpRZ3YQHTmydn0AAPQCAjYAgEbUmYDNFFEAgF0SsAEANKKiAVufPsnee9e2FwCAHk7ABgDQiFasKFa3zz7lkA0AgJ3y2xIAQCMqOoLNBgcAALslYAMAaEQCNgCAqhGwAQA0mo0bk+efL1YrYAMA2C0BGwBAoym6/loiYAMAKEDABgDQaIpOD02SESNq1wcAQC8hYAMAaDSdCdiMYAMA2C0BGwBAoykasPXvnwwZUtteAAB6AQEbAECjKRqwjRiRNDXVthcAgF5AwAYA0GiKBmymhwIAFCJgAwBoNEV3ERWwAQAUImADAGgk69aVjyIEbAAAhQjYAAAaSdHRa4mADQCgIAEbAEAjKbr+WiJgAwAoSMAGANBIBGwAAFUnYAMAaCRFA7ZBg5KBA2vbCwBALyFgAwBoJEUDNqPXAAAKE7ABADSSopscjBhR2z4AAHoRARsAQKMolYxgAwCoAQEbAECjeOGFZOPGYrUCNgCAwgRsAACNwg6iAAA1IWADAGgUy5YVrxWwAQAUJmADAGgURTc4SJJ99qldHwAAvYyADQCgURSdIjp8eNLcXNNWAAB6EwEbAECjKBqwjRhR2z4AAHoZARsAQKMoGrCNHFnbPgAAehkBGwBAI2hrS557rlitDQ4AADpFwAYA0AhWriyHbEWYIgoA0CkCNgCARlB0emhiBBsAQCcJ2AAAGsGKFcVrBWwAAJ0iYAMAaARFR7D17ZsMH17TVgAAehsBGwBAIygasO2zT9LHr4gAAJ3htycAgEZQNGAzPRQAoNMEbAAAjUDABgBQMwI2AIDebsOGZPXqYrUjRtS2FwCAXkjABgDQ23VmB9GRI2vXBwBALyVgAwDo7ZYtK15riigAQKcJ2AAAervOjGATsAEAdJqADQCgtyu6wcGAAcmgQbXtBQCgFxKwAQD0dkWniO67b9LUVNteAAB6IQEbAEBvV3SKqOmhAAB7RMAGANCblUrFp4gK2AAA9oiADQCgN1u7NmltLVYrYAMA2CMCNgCA3qzo6LVEwAYAsIcEbAAAvZmADQCg5gRsAAC9WWcCthEjatcHAEAvJmADAOjNigZsQ4cmAwbUthcAgF5KwAYA0JvZQRQAoOYEbAAAvZmADQCg5gRsAAC9VVtbsmJFsVoBGwDAHhOwAQD0Vs89Vw7ZihCwAQDsMQEbAEBvVXT0WiJgAwCogIANAKC3WraseK2ADQBgjwnYAAB6q6IbHPTpk+y9d217AQDoxQRsAAC9VdEpovvsUw7ZAADYI36TAgDorYpOETU9FACgIgI2AIDequgUUQEbAEBFBGwAAL3Rhg3J6tXFagVsAAAVEbABAPRGRddfSwRsAAAVErABAPRGRaeHJsnIkbXrAwCgAQjYAAB6o84EbCNG1K4PAIAGIGADAOiNigZsAwYkgwfXthcAgF5OwAYA0Bt1ZgfRpqba9gIA0MsJ2AAAeqPOBGwAAFREwAYA0NuUSgI2AIAuJGADAOht1q5NWluL1QrYAAAqJmADAOhtli0rXitgAwComIANAKC3Wbq0eO3IkbXrAwCgQQjYAAB6GyPYAAC6lIANAKC3KRqw7b130txc214AABqAgA0AoLcpGrCZHgoAUBUCNgCA3kbABgDQpQRsAAC9yfr1yerVxWoFbAAAVSFgAwDoTTqzwYGADQCgKgRsAAC9iYANAKDLCdgAAHoTARsAQJcTsAEA9CZFA7ZBg5KWltr2AgDQIARsAAC9iR1EAQC6nIANAKA3Wbq0WJ2ADQCgaqoWsLW2tubyyy/P5MmTM3DgwOy333654IILsmjRooqe++ijj2avvfZKU1NTTj/99Cp1CwDQC23alKxcWaxWwAYAUDVVCdhaW1tz8skn54orrsiaNWty1llnZfz48bnqqqsybdq0zJ8/f4+f/Zd/+ZdZv359NdoEAOjdVq5MSqVitQI2AICqqUrA9rnPfS4zZszI9OnT88gjj+Saa67JzJkz86UvfSnLli3LBRdcsEfP/c53vpPbb789H/jAB6rRJgBA79aZHURHjapdHwAADabigG3jxo35+te/niT55je/mcGDB2++dvHFF2fq1Kn57W9/m/vuu69Tz126dGn+5m/+Jm94wxvyzne+s9I2AQB6v6LrryVGsAEAVFHFAdtdd92VVatWZdKkSTnyyCN3uH7eeeclSW688cZOPfcjH/lIXnzxxfzrv/5rpS0CADSGoiPY+vdPhg6tbS8AAA2k4oDtwQcfTJJMmzatw+vt59vrivjFL36Ra665Jp/85Cdz8MEHV9oiAEBjKBqw7btv0tRU214AABpIv0ofsHDhwiTJuHHjOrzefr69bnfWrl2bD3/4wzn00EPziU98otL2MmXKlA7Pz58/P5MmTar4+QAA3UbRgM36awAAVVVxwLZmzZokSUtLS4fXBw0atE3d7lx66aV58sknc9ttt6V///6VtgcA0BhKpeIBm/XXAACqquKArfQ/W8E37WSaQanoVvFJZs2ala9//et5z3vek9e97nWVtpYkmTt3bofndzayDQCgR1q1Ktm0qVitgA0AoKoqXoNtyJAhScpTOzuybt26JNlmd9GObNq0KR/4wAcybNiwfPGLX6y0LQCAxlJ09FoiYAMAqLKKR7BNmDAhSbJo0aIOr7efb6/bmUWLFuWBBx7ImDFj8ra3vW2ba6tWrUqS3HPPPTnppJMyePDg/OxnP6uwcwCAXuTZZ4vXCtgAAKqq4oDtiCOOSJLMnj27w+vt56dOnVroeUuWLMmSJUs6vPbcc8/ljjvuyLBhw/agUwCAXqxowNa3bzJiRG17AQBoMBVPET3uuOMybNiwzJ8/P/fff/8O16+99tokyZlnnrnL50ycODGlUqnD4/bbb0+SnHbaaSmVSptHtAEA8D+WLi1WN3Jk0qfiXwEBANhKxb9d9e/fPxdeeGGS5MILL9xmLbYrr7wyc+bMyfHHH5+jjz568/lvfOMbOeyww3LJJZdU+uMBAEiKj2AbPbq2fQAANKCKp4gmyaWXXppbbrklM2bMyCGHHJITTjghTz75ZGbOnJkRI0bkqquu2qZ++fLlmTdvXhYvXlyNHw8A0Nja2opvciBgAwCouqrMDxg4cGBuv/32XHbZZWlpackNN9yQBQsW5Pzzz8/999+fgw8+uBo/BgCAjqxYkbz0UrHaUaNq2wsAQANqKpVKpXo3UQ9TpkxJksydO7fOnQAAVOihh5Kvf71Y7cc/nkyeXNt+AAB6mEpzIivcAgD0dEXXX0tMEQUAqAEBGwBAT1d0B9EBA5KhQ2vbCwBAAxKwAQD0dJ3ZQbSpqba9AAA0IAEbAEBPVzRgs8EBAEBNCNgAAHqyjRuTlSuL1Vp/DQCgJgRsAAA92bJlxWsFbAAANSFgAwDoyewgCgBQdwI2AICerDMBmzXYAABqQsAGANCTFQ3YhgxJWlpq2wsAQIMSsAEA9GR2EAUAqDsBGwBAT7Z0abE6668BANSMgA0AoKdaty554YVitUawAQDUjIANAKCnKjp6LTGCDQCghgRsAAA9VWd2EBWwAQDUjIANAKCnWry4eK0pogAANSNgAwDoqYoGbCNGJM3Nte0FAKCBCdgAAHqqogHb2LG17QMAoMEJ2AAAeqJNm5Jly4rVjhlT214AABqcgA0AoCdaujRpaytWu99+te0FAKDBCdgAAHqizmxwYAQbAEBNCdgAAHqizgRs1mADAKgpARsAQE9UNGAbOjRpaaltLwAADU7ABgDQEy1ZUqzO+msAADUnYAMA6Gna2ooHbNZfAwCoOQEbAEBPs3x5smlTsVrrrwEA1JyADQCgp+nMBgemiAIA1JyADQCgpyk6PTQxRRQAoAsI2AAAeppnnilWN2hQMmRIbXsBAEDABgDQ43Rmg4Omptr2AgCAgA0AoEcplYqvwWb9NQCALiFgAwDoSVatStavL1Zr/TUAgC4hYAMA6EmKrr+WJGPH1q4PAAA2E7ABAPQkndlBVMAGANAlBGwAAD3J008XqxswINl779r2AgBAEgEbAEDPUjRgs4MoAECXEbABAPQUndlBdP/9a9sLAACbCdgAAHqK5cuL7yAqYAMA6DICNgCAnmLRouK1AjYAgC4jYAMA6CmKrr+WCNgAALqQgA0AoKcoGrANGZIMHVrbXgAA2EzABgDQUxQN2IxeAwDoUgI2AICeYOPGZOnSYrUCNgCALiVgAwDoCZ55JimVitUK2AAAupSADQCgJ+jMBgfjxtWuDwAAdiBgAwDoCYoGbE1Nydixte0FAIBtCNgAAHqCRYuK1Y0cmfTvX9teAADYhoANAKC7K5WShQuL1Vp/DQCgywnYAAC6u+eeS9atK1Y7fnxtewEAYAcCNgCA7u6pp4rXCtgAALqcgA0AoLsrOj00SSZMqF0fAAB0SMAGANDdFR3BNnhwMmxYbXsBAGAHAjYAgO6uaMA2fnzS1FTbXgAA2IGADQCgO1u7Nlm5slit6aEAAHUhYAMA6M5scAAA0O0J2AAAujMBGwBAtydgAwDozooGbP37J6NG1bYXAAA6JGADAOjOFi4sVjduXNLHr3YAAPXgtzAAgO6qtTVZsqRYremhAAB1I2ADAOiuFi5MSqVitQccUNteAADYKQEbAEB3tWBB8VoBGwBA3QjYAAC6qyefLFbX3Jzst19tewEAYKcEbAAA3VXREWzjx9vgAACgjvwmBgDQHa1dmyxfXqx24sSatgIAwK4J2AAAuqOi00MT668BANSZgA0AoDvqTMBmBBsAQF0J2AAAuqOi668NGJCMHl3TVgAA2DUBGwBAd1MqFQ/YDjggaWqqaTsAAOyagA0AoLt57rlk1apitaaHAgDUnYANAKC7efzx4rU2OAAAqDsBGwBAd9OZgG3SpNr1AQBAIQI2AIDupmjANnx4svfeNW0FAIDdE7ABAHQnGzcmCxcWqz3ooNr2AgBAIQI2AIDuZOHC5KWXitUK2AAAugUBGwBAd9KZ9dcEbAAA3YKADQCgOykasPXtm0yYUNteAAAoRMAGANBdlErFA7YJE5Lm5tr2AwBAIQI2AIDuYsWKZNWqYrWmhwIAdBsCNgCA7uLRR4vXCtgAALoNARsAQHfRmYDt4INr1wcAAJ0iYAMA6C6KBmz77psMH17TVgAAKE7ABgDQHaxenSxdWqx28uTa9gIAQKcI2AAAugPTQwEAeiwBGwBAd9CZgO2QQ2rXBwAAnSZgAwDoDooGbEOHJiNH1rYXAAA6RcAGAFBva9cmTz9drHby5KSpqbb9AADQKQI2AIB6e+SRpFQqVmv9NQCAbkfABgBQb3/6U/Fa668BAHQ7AjYAgHorGrANGpTsv39tewEAoNMEbAAA9bRqVbJkSbHaQw+1/hoAQDckYAMAqKd584rXvuxltesDAIA9JmADAKinzqy/duihtesDAIA9JmADAKiXUil5+OFitXvvnYwaVdt+AADYIwI2AIB6WbYsee65YrWHHWb9NQCAbkrABgBQL3PnFq897LDa9QEAQEUEbAAA9fLQQ8VrBWwAAN2WgA0AoB42biy+g+iYMcnw4TVtBwCAPSdgAwCoh8ceK4dsRbziFbXtBQCAigjYAADqoTPTQwVsAADdmoANAKAeim5w0NycHHxwbXsBAKAiAjYAgK62YkWyeHGx2kMPLYdsAAB0WwI2AICu9oc/FK81PRQAoNsTsAEAdLUHHyxeO2VK7foAAKAqBGwAAF2ptTWZN69Y7ciRyahRte0HAICKCdgAALrS3LnJSy8Vqz3iiNr2AgBAVQjYAAC6UmemhwrYAAB6BAEbAEBXeeml4hsctLQkkybVth8AAKpCwAYA0FUeeyxZt65Y7eGHJ3371rYfAACqQsAGANBVZs8uXjt1au36AACgqgRsAABdoa2teMDWt28yZUpt+wEAoGoEbAAAXWH+/GT16mK1kycne+1V234AAKgaARsAQFe4777itdOm1a4PAACqTsAGAFBrpVJy//3FapuakiOPrG0/AABUlYANAKDWHn88WbWqWO3kycmQITVtBwCA6qpawNba2prLL788kydPzsCBA7PffvvlggsuyKJFiwo/Y9WqVfnhD3+Yd73rXXn5y1+eQYMGZciQITn22GPz1a9+NRs3bqxWuwAAXeeee4rXvupVtesDAICaqErA1trampNPPjlXXHFF1qxZk7POOivjx4/PVVddlWnTpmX+/PmFnvPFL34xf/7nf55rrrkmLS0tefOb35xjjjkmDz74YD72sY/l9a9/fdatW1eNlgEAusZLLyWzZhWrNT0UAKBHqkrA9rnPfS4zZszI9OnT88gjj+Saa67JzJkz86UvfSnLli3LBRdcUOg5gwcPzic/+cksXLgws2bNyn/+53/m1ltvzR/+8IdMmDAhd911V/7xH/+xGi0DAHSNP/4xWbOmWO0hhyRDh9a2HwAAqq6pVCqVKnnAxo0bM2rUqKxatSqzZ8/Okdv9q+sRRxyROXPmZNasWXlVBVMefvSjH+Vd73pXJk6cmCeeeKKSlpMkU6ZMSZLMnTu34mcBAOzUv/97cu+9xWrf+c7kpJNq2g4AADuqNCeqeATbXXfdlVWrVmXSpEk7hGtJct555yVJbrzxxop+zhFHHJEkeeaZZyp6DgBAl2ltTR54oFhtnz7JUUfVtB0AAGqj4oDtwQcfTJJMmzatw+vt59vr9tTjjz+eJBkzZkxFzwEA6DIPPJAU3aTpFa9IBg+uaTsAANRGv0ofsHDhwiTJuHHjOrzefr69bk999atfTZKcddZZnbqvfYjf9ubPn59JkyZV1BMAwC797nfFa489tnZ9AABQUxWPYFvzP4v2trS0dHh90KBB29TtiW9961u55ZZbMnz48Pzd3/3dHj8HAKDLLFuWPPJIsdoBA5KpU2vbDwAANVPxCLb2PRKampp2eX1P3XHHHfnoRz+apqam/L//9/+y3377der+nS1Ot7ORbQAAVTFjRvHaadOS/v1r1wsAADVVccA2ZMiQJMnatWs7vL5u3bokyeA9WFNkzpw5Ofvss7Nhw4Z87WtfyznnnLPnjQIAdJW2ts4FbKaHAgD0aBVPEZ0wYUKSZNGiRR1ebz/fXlfU/Pnzc9ppp2XVqlX59Kc/nYsuuqiyRgEAusof/5isWlWsdsSI5LDDatoOAAC1VXHAdsQRRyRJZs+e3eH19vNTO7GuyDPPPJNTTjklS5YsyUc/+tFcfvnllbYJANB17ryzeO1rXpPsZKkNAAB6hooDtuOOOy7Dhg3L/Pnzc//99+9w/dprr02SnHnmmYWe99xzz+W0007LE088kfe973358pe/XGmLAABdZ+XK5MEHi9U2NSXTp9e2HwAAaq7igK1///658MILkyQXXnjhNmuxXXnllZkzZ06OP/74HH300ZvPf+Mb38hhhx2WSy65ZJtnrVu3Lm984xvz0EMP5e1vf3v+7d/+baebJwAAdEt33pkU3eTpsMPKU0QBAOjRKt7kIEkuvfTS3HLLLZkxY0YOOeSQnHDCCXnyySczc+bMjBgxIlddddU29cuXL8+8efOyePHibc7//d//fe6+++707ds3/fr1y/vf//4Of97VV19djbYBAKpr06bOTQ897rja9QIAQJepSsA2cODA3H777fn85z+fH/7wh7nhhhuy99575/zzz89nPvOZjB8/vtBznnvuuSTJSy+9lB/+8Ic7rROwAQDd0v33Jy+8UKx2yJDkyCNr2w8AAF2iqVQqOoehd5kyZUqSZO7cuXXuBADoFUql5J/+KXniiWL1Z5yRnH12TVsCAKCYSnOiitdgAwAgyfz5xcO1pqbkhBNq2w8AAF1GwAYAUA2/+lXx2qlTbW4AANCLCNgAACr17LPJnDnF61/72tr1AgBAlxOwAQBU6te/Lq/BVsTo0cnLX17bfgAA6FICNgCASrzwQvL73xevP/XU8hpsAAD0GgI2AIBK3H57smlTsdohQ5Jjj61tPwAAdDkBGwDAnlq3LrnttuL1r3990txcu34AAKgLARsAwJ669dbkxReL1fbvb3MDAIBeSsAGALAn1q1LbrmleP1xxyWDBtWuHwAA6kbABgCwJ37966S1tVhtU1PyhjfUth8AAOpGwAYA0Flr13Zu7bVXvSrZd9/a9QMAQF0J2AAAOquzo9fOPLO2/QAAUFcCNgCAzli1qnNrrx19dDJ2bM3aAQCg/gRsAACd8dOfJhs3Fqs1eg0AoCEI2AAAinrqqeT3vy9ef+yxyejRtesHAIBuQcAGAFBEqZT85Cflr0X06ZO86U217QkAgG5BwAYAUMScOcm8ecXrjz02GTWqdv0AANBtCNgAAHZn06bkuuuK1zc3J295S+36AQCgWxGwAQDszi9/mTz7bPH6N7wh2Wef2vUDAEC3ImADANiVpUuTX/yieP2QIcnpp9euHwAAuh0BGwDAzpRKyQ9/WJ4iWtRZZyUDB9auJwAAuh0BGwDAzsyalTz8cPH6/fZLjjuudv0AANAtCdgAADqydm3y4x937p7zzkv6+PUKAKDR+A0QAKAjP/pRsnp18fpp05IpU2rXDwAA3ZaADQBge7NmJffeW7x+wIDkHe+oXT8AAHRrAjYAgK2tXl3e2KAzzjorGT68Ju0AAND9CdgAANqVSsl//Ed5/bWixo9PXve62vUEAEC3J2ADAGh3xx3Jgw8Wr29qSt79bhsbAAA0OL8NAgAkycKFyU9+0rl73vCGZOLEmrQDAEDPIWADAGhtTf7v/002bSp+z9ix5bXXAABoeAI2AKCxlUrJ97+fLFtW/J4+fZL3vS9pbq5dXwAA9BgCNgCgsd1ySzJrVufueeMbkwMOqE0/AAD0OAI2AKBxzZ2bXHdd5+4ZPz4544za9AMAQI8kYAMAGtOzzyb/9m/lKaJFDRiQfOADSb9+tesLAIAeR8AGADSedeuSf/mX5MUXO3ffn/95Mnp0bXoCAKDHErABAI1l48bkX/81WbKkc/cdd1xy7LG16QkAgB5NwAYANI5SKbn66uSRRzp33377JX/2ZzVpCQCAnk/ABgA0jmuv7fyOoQMHJn/5l0n//rXpCQCAHk/ABgA0hl/8Irnlls7d09SUvP/9yZgxtekJAIBeQcAGAPR+v/518tOfdv6+s85Kpk6tfj8AAPQqAjYAoHf7zW/KU0M76+ijk9NPr3o7AAD0PgI2AKD3+s1vkh/9qPP3TZyYvOc95SmiAACwG/3q3QAAQE386lfJddd1/r5Ro5ILL7SpAQAAhQnYAIDepVRKfv7z5MYbO3/vkCHJRz5S/goAAAUJ2ACA3qOtLbnmmvLU0M7q3788cm3kyKq3BQBA7yZgAwB6h/Xrk3//92TOnM7f269f8qEPlddeAwCAThKwAQA93+rVyTe/mSxY0Pl7+/RJ/vIvk5e/vOptAQDQGARsAEDP9swz5XBt+fLO39vUlHzgA8nUqdXvCwCAhiFgAwB6rtmzk6uvLk8P7aympuR970umTat6WwAANBYBGwDQ87S1JTfckPzyl3t2f58+5ZFrwjUAAKpAwAYA9Cxr1pQ3M3j44T27v1+/5H//7+Tww6vbFwAADUvABgD0HH/6U/L//l/y/PN7dv+AAcmHP5wcdlh1+wIAoKEJ2ACA7m/TpuS//zv51a+SUmnPnjFsWHLRRcn48dXtDQCAhidgAwC6t2efTb7zneTJJ/f8GfvtVw7X9tmnen0BAMD/ELABAN1TW1tyyy3lkWsbN+75cw49tLzmWktL9XoDAICtCNgAgO5n8eLk6quTBQsqe8706cm7313e2AAAAGrEb5sAQPexcWPyy18mN91UXndtT/Xpk7z97clJJyVNTVVrDwAAOiJgAwC6h4ceSv7zP5Nlyyp7ztChyQc/mBxySHX6AgCA3RCwAQD1tWJF8uMfJw88UPmzDjoo+cu/TIYPr/xZAABQkIANAKiPdevKU0Fvu62y6aDtTj01Oess660BANDl/AYKAHStTZuS3/wm+fnPyyFbpYYOTS64IHnZyyp/FgAA7AEBGwDQNdraknvvTf77v5Ply6vzzMMPT84/PxkypDrPAwCAPSBgAwBqqz1Y+/nPk2efrc4zBwxI3vrW5MQT7RIKAEDdCdgAgNpoa0vuuaccrC1dWr3nvuxlyV/8RTJiRPWeCQAAFRCwAQDVtWFDMmNGcsstybJl1XvuwIHJ29+evOY1Rq0BANCtCNgAgOpYvTq5/fbkjjuStWur++yjjkre9rZk+PDqPhcAAKpAwAYAVGbhwvKuoDNnlncIrabRo5N3vtMOoQAAdGsCNgCg8zZsSGbNKo9WW7Cg+s/v3z9505uSN7wh6efXFQAAuje/sQIAxS1Zkvz2t8nvf5+sW1f95zc1Jccfn7z5zcmwYdV/PgAA1ICADQDYtXXryqPVfv/75PHHa/dzpk5Nzj03GTu2dj8DAABqQMAGAOzopZeSuXOTu+9OHnyw+murbW3ixOStb00mT67dzwAAgBoSsAEAZW1tyWOPJffdVz5eeKG2P2/ixOTMM5NXvKI8NRQAAHooARsANLKtQ7XZs5PVq2v/MydOLK+xNmWKYA0AgF5BwAYAjWbjxmTevPLUzwce6JpQLUkOPjg54wzBGgAAvY6ADQAawerVyR/+UA7VHn442bCha35uU1MybVpyyinJgQd2zc8EAIAuJmADgN6orS1ZuDD54x+TOXOSBQuSUqnrfv6AAclxxyUnn5zsu2/X/VwAAKgDARsA9BbLl5dHp/3xj8mf/pSsW9f1PYwdm7z2tcmxxyYtLV3/8wEAoA4EbADQU61enTzySPl4+OFk6dL69NG3b3ka6GtfW15nzfpqAAA0GAEbAPQUK1Ykjz665Xj22fr2M2pUeRroccclQ4bUtxcAAKgjARsAdEdtbckzzySPP57Mn18O1FasqHdX5WmfRx2VvPrVyUEHGa0GAAARsAFA9/D88+Uw7YknyseCBV230+fu9OmTvOIV5VBt6tSkubneHQEAQLciYAOArrZuXfLUU+VdPtsDtZUr693VtpqakkMPTV71quTII00BBQCAXRCwAUAtPf98OUhrD9QWLuweUz07IlQDAIA9ImADgGrYtKm8i+fTT5eP9lBt9ep6d7Zrzc3Jy19envp5xBFCNQAA2AMCNgDojLa2cpD2zDPbHs8+W77WEwwfXg7Upk5NDjvMmmoAAFAhARsAdGTDhnKQ9uyz5eOZZ5LFi5MlS8qj1XqSPn2SAw/cMlJt/Hi7fwIAQBUJ2ABoXG1t5fXQ2kO0rY/nnqt3d5UZNaocqL3sZeV11fbaq94dAQBAryVgA6B327gxWb68HKQtW1Z+vWxZOURbtix56aV6d1gdw4YlhxxSnvL58pcnI0bUuyMAAGgYAjYAera2tvJOne3h2fbH88/Xu8PaGDGiHKhNnlz+OnKkaZ8AAFAnAjYAurfW1mTlyvKUzfav7a9XriyPTOsto9B2pqkpGTs2OeigcqB28MFGqAEAQDciYAOgftavL48w2z402zpMe/HFenfZ9YYMKW9KcNBB5a8TJyYDB9a7KwAAYCcEbABU3/r1yapV5fBs66P9XPvX1tY6N9oNNDcn48ZtG6iNGGG6JwAA9CACNgCK2bQpeeGFbY/VqzsO0davr3e33VNLSzJ+fPmYMKF8jB6d9OlT784AAIAKCNgAGlWplKxbVw7JOgrOtj+3bl29O+5Z9t67PDJt6zBtn32MTAMAgF5IwAbQG7S1JWvXJmvWlL9u/Xr7c1ufb2urd+c939ChyX77JfvvX96IoP3rXnvVuzMAAKCLCNgAupONG8uL+q9dW/66bt2WY1fBmdFltTd0aHk659ZB2n77JYMG1bszAACgzgRsANXU1rZtMLZ9SNZ+rqMA7cUXywEb9TNgQDJmTDJqVDlMaz9GjTIiDQAA2CkBG0CSvPRSeUfL1tZy0LX966Ln7IrZ/fXvn+y7b/nYPkwbOtQaaQAAQKcJ2ICe6aWXyjtVbn+0tiYbNmx5vfX5XQVjRo71Hn36lDcYGDkyGTGiHKS1vx45Mhk8WIgGAABUlYANqJ1SKdm0qRx4bX1sHXzt7ugoMNuwofxcGlPfvuUAbZ99tnxtD8/23bd8rm/fencJAAA0EAEbNKJSqTwCbPvgq+ixcWPx66VSvf+09CRNTcmwYVvCs/YAbeswbcgQI9AAAIBuRcAG9dQ+wqs9kGp/vbOjfTRY++td1XZ0bB2CCb7oaoMGlcOzrY/hw7e83nvv8vdGnwEAAD2MgI3G0x5qbX1s3Fge0dX+etOm8vftr4scRUKv7cM00xzp6ZqakpaWbcOyrUOz9u+HDk2am+vcLAAAQG0I2KiutrZyMNV+tAdV7V+3P7+7mt2FYEWDr63va2ur9/+VoHsbMKA8DXPrY+jQbb+2H4MHlzcVAAAAaGACtp5q6dJk3bqOA6mdBVlFaioNxEw7hO6lqak8NXPQoHIYNnjwlteDBu0YoA0eXA7YAAAAKEzA1lN973vJo4/WuwugKzU37xiQ7Sw4a3+91142BAAAAKgxAVtPZRFw6Hn69CmvV9bSUg6+2l9vfW7QoB2vtX/fz0c2AABAd+S/1noqARt0rT59ykHXwIFbvm79eutzHYVkLS1J//5GkwEAAPRCAraeSsAGu9fUVA61BgzoOAgrEpa1v+7XTzgGAABAhwRsPZWpYvQ27UFY0WPgwC33DBzYcU1zs1AMAACAmpPS9FRGsNGV+vUrh1kdHc3NO7+2s5rtA7H+/ctTMAEAAKAHErD1VAK2xtavXzm0aj/aA7D211tf2/rYXRC2s3BM+AUAAAA7JWDrqQRs9dWv35Ygq2/fLa93FW5tf7TX9u/f+ftMewQAAIBuo2oBW2traz7/+c/nRz/6URYuXJh99tknp59+eq644oqMGzeuU89atWpVPv3pT+f666/PkiVLMmbMmJx99tn5h3/4hwwfPrxaLfdsjbIGW3uQ1bfvlnCpyNFR8FWNZ/TrVx7NJeACAAAA/kdVUprW1tacfPLJmTFjRsaOHZuzzjorCxYsyFVXXZWf/exn+f3vf59JkyYVetaKFSsyffr0PProoznooINy9tlnZ+7cufna176WX/ziF7n77rszYsSIarTds3V2BFt7UNS375Zj6+/bX3enGkEWAAAA0ANUJWD73Oc+lxkzZmT69On51a9+lcGDBydJrrzyynz84x/PBRdckDvuuKPQs/7qr/4qjz76aM4999xcc8016fc/I7U+8pGP5Otf/3ouvvjifPe7361G2z3byScnxxxTLMgSVAEAAADUTFOpVCpV8oCNGzdm1KhRWbVqVWbPnp0jjzxym+tHHHFE5syZk1mzZuVVr3rVLp+1ZMmS7L///unbt2+eeuqpjB49evO19evXZ/z48Vm5cmWefvrpba7tiSlTpiRJ5s6dW9FzAAAAAOjZKs2JKt4a8K677sqqVasyadKkHcK1JDnvvPOSJDfeeONun3XTTTelra0tJ5544g4B2oABA/LmN785L730Um666aZK2wYAAACAqqg4YHvwwQeTJNOmTevwevv59rquehYAAAAAdIWK12BbuHBhkux0p9D28+11XfWsdu1D/LY3f/78whsvAAAAAMDOVDyCbc2aNUmSlpaWDq8PGjRom7quehYAAAAAdIWKR7C175HQtJNdKjuzh0I1n9VuZ4vT7WxkGwAAAAB0RsUj2IYMGZIkWbt2bYfX161blyQZPHhwlz4LAAAAALpCxQHbhAkTkiSLFi3q8Hr7+fa6rnoWAAAAAHSFigO2I444Ikkye/bsDq+3n586dWqXPgsAAAAAukLFAdtxxx2XYcOGZf78+bn//vt3uH7ttdcmSc4888zdPuv0009Pnz59cuedd2bp0qXbXFu/fn1uvPHG9OnTJ2eccUalbQMAAABAVVQcsPXv3z8XXnhhkuTCCy/cZv20K6+8MnPmzMnxxx+fo48+evP5b3zjGznssMNyySWXbPOssWPH5p3vfGc2bNiQD3/4w9m0adPma3/7t3+bZcuW5V3velfGjBlTadsAAAAAUBUV7yKaJJdeemluueWWzJgxI4ccckhOOOGEPPnkk5k5c2ZGjBiRq666apv65cuXZ968eVm8ePEOz/rKV76Su+++O9ddd10OO+ywHHXUUZk7d24eeuihTJo0KV/+8per0TIAAAAAVEXFI9iSZODAgbn99ttz2WWXpaWlJTfccEMWLFiQ888/P/fff38OPvjgws/ad999c++99+aiiy7Khg0bcv311+f555/PhRdemHvuuSf77rtvNVoGAAAAgKpoKpVKpXo3UQ9TpkxJksydO7fOnQAAAABQT5XmRFUZwQYAAAAAjUrABgAAAAAVELABAAAAQAUEbAAAAABQAQEbAAAAAFRAwAYAAAAAFRCwAQAAAEAFBGwAAAAAUAEBGwAAAABUQMAGAAAAABVoKpVKpXo3UQ9DhgzJxo0bM2nSpHq3AgAAAEAdzZ8/P83NzXnhhRf26P6GHcE2aNCgNDc317uNqpo/f37mz59f7zboJrwf2Jr3A1vzfmBr3g9szfuBrXk/sDXvB7bWG98Pzc3NGTRo0B7f37Aj2HqjKVOmJEnmzp1b507oDrwf2Jr3A1vzfmBr3g9szfuBrXk/sDXvB7bm/bCjhh3BBgAAAADVIGADAAAAgAoI2AAAAACgAgI2AAAAAKiAgA0AAAAAKmAXUQAAAACogBFsAAAAAFABARsAAAAAVEDABgAAAAAVELABAAAAQAUEbAAAAABQAQEbAAAAAFRAwAYAAAAAFRCwAQAAAEAFBGw93J/+9Kf80z/9U04++eRMmDAhAwYMyJgxY3Luuefmzjvv3OW9ixYtygUXXJD99tsvAwcOzOTJk/OpT30qra2tXdQ91bZ27dp8//vfz0UXXZRjjjkmAwYMSFNTU77whS/s8r6mpqZdHt4TPdOevh8Snw+N5je/+c0uPwNe/epX17tFaqC1tTWXX355Jk+enIEDB2a//fbLBRdckEWLFtW7NbrYSSedtMvPgJtvvrneLVJl9913X77whS/k3HPPzf7775+mpqYMHDhwt/d973vfyzHHHJPBgwdnn332yRvf+MbMmDGjCzqmljr7fvj0pz+9y8+Mv/u7v+vC7qm2devW5YYbbsj73//+TJ06NUOHDs2gQYNyxBFH5IorrsiaNWt2em+jf0b0q3cDVOYNb3hDnn766QwdOjTHHntspk+fnj/+8Y+5/vrrc8MNN+TKK6/Mxz72sR3umz9/fqZPn55ly5blFa94RU444YTMmjUrn/nMZ3LLLbfk9ttvz4ABA7r+D0RFHn300bznPe/Zo3sHDRqU8847r8Nrffv2raQt6mRP3w8+HxrXpEmTcvzxx3d4nt6ltbU1J598cmbMmJGxY8fmrLPOyoIFC3LVVVflZz/7WX7/+9/7/3sDeutb35rBgwfvcH7//fevQzfU0mc+85n89Kc/7dQ9F198cb785S9nr732yqmnnprW1tb8+te/zq9+9av85Cc/yTnnnFOjbqm1PXk/JMlxxx2Xgw8+eIfzr3rVq6rRFnXywx/+MB/4wAeSJFOmTMnpp5+e1atXZ8aMGbn88svzox/9KHfccUdGjRq1zX0+I5KU6NFOOeWU0g9/+MPS+vXrtzn/rW99q5Sk1Ldv39LcuXN3uO/EE08sJSl95CMf2Xxu48aNpXPOOaeUpPSpT32q5r1TfY899ljp/e9/f+nb3/52afbs2aW///u/LyUpff7zn9/lfUlKBxxwQNc0SZfZ0/eDz4fGc/vtt5eSlM4///x6t0IXueyyy0pJStOnTy+98MILm89/6UtfKiUpnXjiiXXsjq722te+tpSk9MQTT9S7FbrIF77whdKnPvWp0o033lhasmRJKUlpwIABO62/9dZbS0lKI0aMKD3yyCObz8+YMaPUv3//0rBhw0orV67sitapgc6+Hy6//PJSktJVV13VdU3SZb773e+WPvShD23zd71UKpWeeeaZ0pFHHllKUnrnO9+5zTWfEWUCtl7s1FNPLSUpffrTn97m/D333FNKUho1alSptbV1m2tLliwpNTc3l/bee+/Shg0burJdaqD9f/wEbJRKxd4PPh8ak4CtsWzYsKE0fPjwUpLS7Nmzd7g+derUUpLSrFmz6tAd9SBgY3eByhvf+MZSktKXv/zlHa595CMfKSUpffGLX6xhh3QlARs7M2PGjM3vj60H+fiMKLMGWy92xBFHJEmeeeaZbc7/7Gc/S5K8+c1v3mGa1+jRo3PCCSfkueeey+9+97uuaRToNnw+QO931113ZdWqVZk0aVKOPPLIHa63Lxdw4403dnVrQDfU2tqaW2+9NUk6XE7EZwY0jvaMYf369VmxYkUSnxFbswZbL/b4448nScaMGbPN+QcffDBJMm3atA7vmzZtWm677bY8+OCDOemkk2raI93H2rVr89nPfjYLFy5MS0tLjjzyyJx77rkdrsVC7+XzobE9+uijueSSS7JixYrsu+++Of7443P66aenTx//HtebFPl7vnUdjeM73/lOVqxYkT59+mTy5Mk5++yzM2HChHq3RZ396U9/yvr16zNy5MiMGzduh+vtnxlz5szp6taos9tuuy0PPPBAWltbM27cuJxxxhnWX+vl2jOG5ubm7LPPPkl8RmxNwNZLzZ8/f/NIlLe85S3bXFu4cGGSdPjm3/p8ex2NYfny5bn00ku3OXfxxRfnu9/9bt70pjfVqSu6ms+HxjZjxowddno6/PDDc9111+WQQw6pU1dUm7/n7Mw//uM/bvP9X//1X+eyyy7LZZddVqeO6A5295kxaNCgDB8+PM8991xeeOGFDBkypCvbo46+//3vb/P9ZZddlre+9a25+uqr/SN9L/XVr341SXL66advnu3iM2IL/yTdC23atCnvfe97s379+rzjHe/Y4V8R2rfVbWlp6fD+QYMGbVNH7/ee97wnN998c55++umsWbMm999/f/7iL/4iK1asyLnnnpt77rmn3i3SRXw+NKZhw4blb/7mb3L33XdnxYoVWbFiRW699da8+tWvzh/+8Ieccsopef755+vdJlXi7znbO/HEE/P9738/8+fPz7p16zJv3rx89rOfTb9+/fKpT31q839Q0Zh295mR+NxoNAcffHC++MUvZu7cuVmzZk2eeuqp/OAHP8j++++f6667Ln/xF39R7xapgV/84hf5zne+k+bm5nzmM5/ZfN5nxBZGsNXZeeedl4ceeqhT93zve9/LMcccs9PrF110Ue66664cdNBB+Zd/+ZcdrpdKpSRJU1NTh/e3X6fr1eL9UMR3v/vdbb5/5Stfme9973sZN25cPv/5z+fSSy/Nr371q4p+Bp1Xj/eDz4eeqdL3ypFHHrnDWlyvf/3rc9ddd+V1r3td7rzzznzzm9/MJz/5yar1TP34e872rrjiim2+nzx5cj75yU/mqKOOymmnnZbLL788H/zgB7PXXnvVqUPqaXefGVvX0Bje/e53b/P9oEGD8q53vSuve93rcvjhh+eGG27IjBkz8prXvKZOHVJtDz/8cN797nenVCrln//5nzevxZb4jNiagK3OFixYkHnz5nXqnnXr1u302hVXXJFvfetbGT16dH75y19unhe9tfYhmWvXrt3l8w3r7XrVfj9U6hOf+ET+v//v/8tvfvObbNiwIf3796/Zz2JH9Xg/+HzomWr1Xunbt28+8YlP5M4778wvf/lLAVsv4e85RZ166qk56qijMmvWrNx999153eteV++WqIPdfWYkPjcoGzt2bN73vvfli1/8Yn75y18K2HqJRYsW5fTTT89zzz2Xiy++OB/96Ee3ue4zYgsBW53NmjWras/65je/mcsvvzzDhg3LzTffnIMPPrjDugkTJuT+++/PokWLOrzeft6itl2vmu+Hahg2bFhGjRqVxYsXZ/ny5dlvv/3q3VJDqcf7wedDz1TL90r72muLFy+u2c+ga7X//fX3nCIOOeSQzJo1y2dAA9vdZ8batWuzatWqDB8+vFevrUQxfm/oXZYvX55TTjklCxcu3Byebs9nxBbWYOslfvCDH+Siiy5KS0tLfv7zn+eVr3zlTmvbh3POnj27w+vt56dOnVr1PulZ2trasnr16iS9/18bKPP5wPaee+65JD4DehN/z+kMnwEceuihGTBgQJYtW9bhf0D7zGBrPjN6jxdeeCFnnHFG/vSnP+Xcc8/Nv/3bv3U4DdRnxBYCtl7gF7/4Rd773vemubk5119/fY477rhd1rfvCHnjjTdm/fr121x79tlnc+edd2bYsGE5/vjja9YzPcPNN9+ctWvX5uCDD87QoUPr3Q5dwOcD27vuuuuSZIcNc+i5jjvuuAwbNizz58/P/fffv8P1a6+9Nkly5plndnVrdDPLli3LnXfemSSZNm1anbuhXvbaa6+8/vWvT7Ll82FrPjNoVyqVcv311yfxe0NPt379+px11lmZNWtWTjvttPzoRz9K3759O6z1GbGFgK2H+93vfpfzzjsvSXLNNdfk1FNP3e09xxxzTI477rgsXbo0n/jEJzaf37RpUz784Q9n48aNueiii9Lc3Fyzvuk+rr322jzyyCM7nL/jjjvygQ98IEny4Q9/uKvbok58PjSmb3/721mxYsU250qlUr797W/ny1/+cpqamvK///f/rlN3VFv//v1z4YUXJkkuvPDCbdZMufLKKzNnzpwcf/zxOfroo+vVIl3o7rvvzu23377DAtQLFizIOeeck7Vr1+Ytb3lLxo0bV6cO6Q4uvvjiJMk//uM/5tFHH918/ve//32+/e1vZ+jQoXn/+99fr/boQsuXL8/3vve9Hf4hds2aNfnQhz6UmTNnZsyYMTnnnHPq1CGVeumll/LOd74zt99+e0444YT813/9127X4vYZUdZUapTtHHqpvffeO6tWrcqBBx6YE088scOa448/Pv/rf/2vbc49+uijmT59elasWJHDDz88L3/5y3Pvvffm8ccfz7HHHpvf/OY3GThwYFf8Eaiyc845Z/OaB4sWLcrTTz+d8ePHb14/bezYsZv/ZSlJ3vve9+a73/1uDjnkkBx44IEZNmxYHn300TzwwANJkj/7sz/LD37wg/TpI4/viTr7fkh8PjSiiRMn5plnnsnLX/7yHHDAAUmSP/zhD3niiSfSp0+ffOUrX8lFF11U5y6pptbW1px00kmZOXNmxo4dmxNOOCFPPvlkZs6cmREjRuTuu+/e6Vqu9C5XX3113ve+92Xs2LGZPHlyxowZk0WLFuW+++5La2trpkyZkttuuy2jRo2qd6tU0c9//vN85jOf2fz9zJkz09TUtM1O5Jdddtnmke1J8rGPfSxf/epX09LSklNOOSUbNmzIr3/967S1teXHP/5x3vrWt3bpn4Hq6cz7YcGCBTnwwAMzdOjQvOxlL8uECROyatWqzJ49OytWrMjw4cPzs5/9bLezqui+vvrVr+ZjH/tYkvJ/S+xsJtMXv/jF7Lvvvpu/9xmRpESPlmS3x/nnn9/hvQsXLiy9973vLY0ZM6bUv3//0qRJk0qXXnppad26dV37h6CqDjjggF2+Hw444IBt6n/xi1+U/vzP/7x02GGHlYYPH17q169fadSoUaUzzjij9JOf/KQ+fwiqprPvh3Y+HxrL1772tdKZZ55ZOvDAA0uDBg0q9e/fv3TAAQeU3v3ud5fuueeeerdHjaxbt6502WWXlSZNmlTq379/afTo0aXzzz+/tHDhwnq3Rhf64x//WPrQhz5UmjZtWmnkyJGlfv36lYYNG1Z69atfXfrSl77kc7+Xuuqqq3b73xBXXXVVh/e96lWvKrW0tJSGDRtWOu2000p33nln1/8BqKrOvB9Wr15d+sQnPlF67WtfW9p///1LAwYMKLW0tJSmTJlS+vjHP15atGhRff8wVOzyyy8vlDM88cQTO9zb6J8RRrABAAAAQAXM+QIAAACACgjYAAAAAKACAjYAAAAAqICADQAAAAAqIGADAAAAgAoI2AAAAACgAgI2AAAAAKiAgA0AAAAAKiBgAwAAAIAKCNgAAAAAoAICNgAAAACogIANAAAAACogYAMAAACACgjYAAAAAKACAjYAAAAAqICADQAAAAAqIGADAAAAgAr8/4SJmTa5t6PqAAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-20, 20, 1000)\n",
    "plt.plot(x, cauchy_cdf(x, x0=0, gam=1), 'r-', lw=5, alpha=0.6)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18432774-c587-4127-a168-353bd0bcd8ad",
   "metadata": {},
   "source": [
    "### Sigmoid/Logistic CDF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "3fe4fca0",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-12-12T15:00:43.822469600Z",
     "start_time": "2023-12-12T15:00:43.669010900Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1500x900 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-20, 20, 1000)\n",
    "plt.plot(x, sigmoid_cdf(x, x0=0, gam=1), 'r-', lw=5, alpha=0.6)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Extraction of labels"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "fd93f6a9a9cb54d4"
  },
  {
   "cell_type": "markdown",
   "source": [
    "Additionally to the returned ground truth occupation of the dots and the TCT mask, it is also possible to create more detailed labels with semantic information about the transitions, if required. This could be for example labels for individual LDTs, which can be created with the help of the function `calculate_all_bezier_anchors` (from `simcats.ideal_csd.geometric`). By passing a TCT config to this function, all bezier anchors, defining the rounded parts affected by interdot tunnel coupling, are retrieved. With these it is then possible to create for example labels for linear parts (required for algorithms that should detect straight lines), which start at the last bezier anchor of a triple point and end at the first bezier anchor of the next triple point. "
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "676e9ab54b0a9a96"
  },
  {
   "cell_type": "markdown",
   "source": [],
   "metadata": {
    "collapsed": false
   },
   "id": "ad880eb09fb81f03"
  },
  {
   "cell_type": "markdown",
   "source": [],
   "metadata": {
    "collapsed": false
   },
   "id": "406403ac7f40ce6d"
  }
 ],
 "metadata": {
  "kernelspec": {
   "name": "python3",
   "language": "python",
   "display_name": "Python 3 (ipykernel)"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}