diff --git a/examples/mbtrack2_BxB_FB.ipynb b/examples/mbtrack2_BxB_FB.ipynb
new file mode 100644
index 0000000000000000000000000000000000000000..65c923303bffd0a137e27ecbe2b4d31d38d8dce0
--- /dev/null
+++ b/examples/mbtrack2_BxB_FB.ipynb
@@ -0,0 +1,1257 @@
+{
+  "nbformat": 4,
+  "nbformat_minor": 0,
+  "metadata": {
+    "colab": {
+      "provenance": [],
+      "toc_visible": true,
+      "authorship_tag": "ABX9TyOCpbqKM2vYs/PDQuBKl4hE",
+      "include_colab_link": true
+    },
+    "kernelspec": {
+      "name": "python3",
+      "display_name": "Python 3"
+    },
+    "language_info": {
+      "name": "python"
+    }
+  },
+  "cells": [
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "view-in-github",
+        "colab_type": "text"
+      },
+      "source": [
+        "<a href=\"https://colab.research.google.com/github/GamelinAl/mbtrack2_examples/blob/main/mbtrack2_BxB_FB.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "# Bunch-by-bunch damper feedback\n",
+        "\n",
+        "This notebook introduces the ``ExponentialDamper`` and ``FIRDamper`` classes for **mbtrack2**:\n",
+        "\n",
+        "*   The ``ExponentialDamper`` is a very simple bunch-by-bunch damper feedback class based on exponential damping.\n",
+        "*   The ``FIRDamper`` is a more realistic bunch-by-bunch damper feedback class based on FIR filters.\n"
+      ],
+      "metadata": {
+        "id": "IKih_9pcq9Ui"
+      }
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "# Installation"
+      ],
+      "metadata": {
+        "id": "O5fColz-q2EI"
+      }
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 4,
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "BKGTZA_EvtF6",
+        "outputId": "0e2478a5-5591-4436-f707-ee1f4516b042"
+      },
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "Cloning into 'mbtrack2'...\n",
+            "remote: Enumerating objects: 1526, done.\u001b[K\n",
+            "remote: Counting objects: 100% (186/186), done.\u001b[K\n",
+            "remote: Compressing objects: 100% (186/186), done.\u001b[K\n",
+            "remote: Total 1526 (delta 118), reused 0 (delta 0), pack-reused 1340\u001b[K\n",
+            "Receiving objects: 100% (1526/1526), 709.26 KiB | 1024.00 KiB/s, done.\n",
+            "Resolving deltas: 100% (1047/1047), done.\n"
+          ]
+        }
+      ],
+      "source": [
+        "! git clone -b develop https://gitlab.synchrotron-soleil.fr/PA/collective-effects/mbtrack2.git"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "%cd mbtrack2"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "aIwNdoXlVDus",
+        "outputId": "1531dc7a-943f-4281-9d8f-2f8324a39bc3"
+      },
+      "execution_count": 5,
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "/content/mbtrack2\n"
+          ]
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "# Tracking set-up"
+      ],
+      "metadata": {
+        "id": "-CHO7pYlsa76"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "import numpy as np\n",
+        "import matplotlib.pyplot as plt\n",
+        "import h5py as hp\n",
+        "from mbtrack2.tracking import Synchrotron, Electron\n",
+        "from mbtrack2.utilities import Optics\n",
+        "from mbtrack2.tracking import Bunch\n",
+        "from mbtrack2.tracking import LongitudinalMap, RFCavity, SynchrotronRadiation, TransverseMap"
+      ],
+      "metadata": {
+        "id": "ewMLyHDOslSD"
+      },
+      "execution_count": 23,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "h = 20 # Harmonic number of the accelerator.\n",
+        "L = 100 # Ring circumference in [m].\n",
+        "E0 = 1.5e9 # Nominal (total) energy of the ring in [eV].\n",
+        "particle = Electron() # Particle considered.\n",
+        "ac = 1e-3 # Momentum compaction factor.\n",
+        "U0 = 200e3 # Energy loss per turn in [eV].\n",
+        "tau = np.array([1e-3, 1e-3, 2e-3]) # Horizontal, vertical and longitudinal damping times in [s].\n",
+        "tune = np.array([12.2, 15.3]) # Horizontal and vertical tunes.\n",
+        "emit = np.array([10e-9, 10e-12]) # Horizontal and vertical equilibrium emittance in [m.rad].\n",
+        "sigma_0 = 15e-12 # Natural bunch length in [s].\n",
+        "sigma_delta = 1e-3 # Equilibrium energy spread.\n",
+        "chro = [2.0, 3.0] # Horizontal and vertical (non-normalized) chromaticities.\n",
+        "\n",
+        "local_beta = np.array([3, 2]) # Beta function at the tracking location.\n",
+        "local_alpha = np.array([0, 0]) # Alpha function at the tracking location.\n",
+        "local_dispersion = np.array([0, 0, 0, 0]) # Dispersion function and its derivative at the tracking location.\n",
+        "optics = Optics(local_beta=local_beta, local_alpha=local_alpha, \n",
+        "                  local_dispersion=local_dispersion)\n",
+        "\n",
+        "ring = Synchrotron(h=h, optics=optics, particle=particle, L=L, E0=E0, ac=ac, \n",
+        "                   U0=U0, tau=tau, emit=emit, tune=tune, \n",
+        "                   sigma_delta=sigma_delta, sigma_0=sigma_0, chro=chro)"
+      ],
+      "metadata": {
+        "id": "GH7V8wmmxH4i"
+      },
+      "execution_count": 7,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "LongMap = LongitudinalMap(ring)\n",
+        "RF = RFCavity(ring, m=1, Vc=1e6, theta=np.arccos(ring.U0/1e6))\n",
+        "SR = SynchrotronRadiation(ring)\n",
+        "TransMap = TransverseMap(ring)"
+      ],
+      "metadata": {
+        "id": "hZJ-vdJmKWK6"
+      },
+      "execution_count": 8,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "# ExponentialDamper"
+      ],
+      "metadata": {
+        "id": "bT_CpT4F_0tv"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "from mbtrack2 import ExponentialDamper, BunchMonitor"
+      ],
+      "metadata": {
+        "id": "hk69IPj3MGFS"
+      },
+      "execution_count": 9,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "Initialize a single particle with a 1 mm horizontal offset"
+      ],
+      "metadata": {
+        "id": "lnPJ-PoQnvYB"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "mybunch = Bunch(ring, mp_number=1, current=1e-3)\n",
+        "mybunch[\"x\"] += 1e-3"
+      ],
+      "metadata": {
+        "id": "x-9buBSzQI9v"
+      },
+      "execution_count": 10,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "Initialize an ``ExponentialDamper`` in the horizontal plane with a damping time of 50 turns and a phase of 90° (fully resistive damper)."
+      ],
+      "metadata": {
+        "id": "vs21xVzgoIgR"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "damper = ExponentialDamper(ring=ring, plane=\"x\", damping_time=ring.T0*50, phase_diff=np.pi/2)"
+      ],
+      "metadata": {
+        "id": "TFU0gUmJMIdV"
+      },
+      "execution_count": 11,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "bunchmon = BunchMonitor(bunch_number=0, save_every=1, buffer_size=10, total_size=1000, file_name=\"damper\")\n",
+        "\n",
+        "turns = 1000\n",
+        "for i in range(turns):\n",
+        "  LongMap.track(mybunch)\n",
+        "  TransMap.track(mybunch)\n",
+        "  RF.track(mybunch)\n",
+        "  damper.track(mybunch)\n",
+        "  bunchmon.track(mybunch)\n",
+        "bunchmon.close()"
+      ],
+      "metadata": {
+        "id": "EV3FzxRsOkO5"
+      },
+      "execution_count": 12,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "Plot the particle position and Courant-Snyder invariant:"
+      ],
+      "metadata": {
+        "id": "rTuoOIFHp6Rz"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "from mbtrack2 import plot_bunchdata"
+      ],
+      "metadata": {
+        "id": "5ytZMGlWQec_"
+      },
+      "execution_count": 13,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = plot_bunchdata(\"damper.hdf5\",0,\"mean\",\"x\")"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 279
+        },
+        "id": "i0iXch5OR2tt",
+        "outputId": "eafe335f-afeb-455f-9c53-e285be65f31b"
+      },
+      "execution_count": 14,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {
+            "needs_background": "light"
+          }
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = plot_bunchdata(\"damper.hdf5\",0,\"cs_invariant\",\"x\")"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 290
+        },
+        "id": "tXv2CAdMRpLA",
+        "outputId": "2146eef1-59a5-467c-df77-e93c6cb73b30"
+      },
+      "execution_count": 15,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {
+            "needs_background": "light"
+          }
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "Compute the damping time from tracking data in turn number:"
+      ],
+      "metadata": {
+        "id": "KL4gETJeqMOs"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "from scipy.optimize import curve_fit"
+      ],
+      "metadata": {
+        "id": "fRjIrGE2SXHZ"
+      },
+      "execution_count": 16,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "g = hp.File(\"damper.hdf5\",\"r\")\n",
+        "xdata = np.array(g[\"BunchData_0\"][\"time\"])*ring.T0\n",
+        "ydata = np.array(g[\"BunchData_0\"][\"cs_invariant\"][0,:])\n",
+        "g.close()"
+      ],
+      "metadata": {
+        "id": "stisho_nqvYi"
+      },
+      "execution_count": 17,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "def func(x, a, b):\n",
+        "    return a * np.exp(-b * x)"
+      ],
+      "metadata": {
+        "id": "D1ZwIE7EqWo1"
+      },
+      "execution_count": 18,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "popt, pcov = curve_fit(func, xdata, ydata)\n",
+        "print(f\"Fitted damping time is {1/popt[1]/ring.T0*2} turns.\")\n",
+        "print(f\"Input damping time is {damper.damping_time/ring.T0} turns.\")\n",
+        "plt.plot(xdata, ydata)\n",
+        "plt.plot(xdata, func(xdata, *popt),\"--\")"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 328
+        },
+        "id": "0_1T8CHZStFo",
+        "outputId": "18bc7832-2ffd-4430-8301-5d6a1b6829f4"
+      },
+      "execution_count": 28,
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "Fitted damping time is 49.06419715200237 turns.\n",
+            "Input damping time is 50.0 turns.\n"
+          ]
+        },
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "[<matplotlib.lines.Line2D at 0x7fb72326f8b0>]"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 28
+        },
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {
+            "needs_background": "light"
+          }
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "# FIRDamper "
+      ],
+      "metadata": {
+        "id": "KpOhcSsdgLAq"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "from mbtrack2 import FIRDamper "
+      ],
+      "metadata": {
+        "id": "SHZG0VukgKja"
+      },
+      "execution_count": 29,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "## Stable case (low gain)"
+      ],
+      "metadata": {
+        "id": "jbqNhZ3yr9pp"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "mybunch = Bunch(ring, mp_number=1, current=1e-3, track_alive=False)\n",
+        "mybunch[\"x\"] += 1e-3"
+      ],
+      "metadata": {
+        "id": "fj-0Pjf9gSN7"
+      },
+      "execution_count": 30,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "Initialize a ``FIRDamper`` element on the horizontal plane.\n",
+        "\n",
+        "The FIR filter is computed for a reference tune of 0.2 (usually the same as ``ring.tune``) with a gain of 0.1 and a phase of -90°. A delay of 1 turn between the measurement and the kick is also taken into account.\n",
+        "\n",
+        "If the gain is low enough, the ``FIRDamper`` element should provide damping."
+      ],
+      "metadata": {
+        "id": "WPXDhshFtl2E"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fir_damp = FIRDamper(ring=ring, plane=\"x\", tune=0.2, turn_delay=1, tap_number=5, \n",
+        "                     gain=0.1, phase=-90, bpm_error=None, max_kick=None)"
+      ],
+      "metadata": {
+        "id": "8ixPo9QFgbkn"
+      },
+      "execution_count": 31,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The FIR filter computed from the input can then be plotted:"
+      ],
+      "metadata": {
+        "id": "RPMKy5qLtys7"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = fir_damp.plot_fir()"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 279
+        },
+        "id": "C-WuKp-Rg7ZC",
+        "outputId": "4d024653-106c-4195-8b5b-fa39b90e635f"
+      },
+      "execution_count": 32,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 432x288 with 2 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {
+            "needs_background": "light"
+          }
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "bunchmon = BunchMonitor(bunch_number=0, save_every=1, buffer_size=10, total_size=100, file_name=\"fir\")\n",
+        "\n",
+        "turns = 100\n",
+        "for i in range(turns):\n",
+        "  LongMap.track(mybunch)\n",
+        "  TransMap.track(mybunch)\n",
+        "  RF.track(mybunch)\n",
+        "  fir_damp.track(mybunch)\n",
+        "  bunchmon.track(mybunch)\n",
+        "bunchmon.close()"
+      ],
+      "metadata": {
+        "id": "Y5fitMh5gYwL"
+      },
+      "execution_count": 33,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = plot_bunchdata(\"fir.hdf5\",0,\"mean\",\"x\")"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 279
+        },
+        "outputId": "ccfe8e70-58eb-44e9-8062-37ed44c2cdb6",
+        "id": "7p4k8Ivfioow"
+      },
+      "execution_count": 36,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {
+            "needs_background": "light"
+          }
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = plot_bunchdata(\"fir.hdf5\",0,\"cs_invariant\",\"x\")"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 290
+        },
+        "outputId": "f9cfd6d8-56f6-44ca-824e-4f20edeb0c41",
+        "id": "Gu_QqzR9ioow"
+      },
+      "execution_count": 37,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {
+            "needs_background": "light"
+          }
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "g = hp.File(\"fir.hdf5\",\"r\")\n",
+        "xdata = np.array(g[\"BunchData_0\"][\"time\"])*ring.T0\n",
+        "ydata = np.array(g[\"BunchData_0\"][\"cs_invariant\"][0,:])\n",
+        "g.close()"
+      ],
+      "metadata": {
+        "id": "lraKR0WowDzz"
+      },
+      "execution_count": 38,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "def func(x, a, b):\n",
+        "    return a * np.exp(-b * x)"
+      ],
+      "metadata": {
+        "id": "wkTeoyvFwDzz"
+      },
+      "execution_count": 39,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "popt, pcov = curve_fit(func, xdata, ydata)\n",
+        "print(f\"Fitted damping time is {1/popt[1]/ring.T0*2} turns.\")\n",
+        "plt.plot(xdata, ydata)\n",
+        "plt.plot(xdata, func(xdata, *popt),\"--\")"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 324
+        },
+        "outputId": "5dadf456-b47b-475e-c730-4620f6982945",
+        "id": "nA0S4-NcwDzz"
+      },
+      "execution_count": 41,
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "Fitted damping time is 6.990584491546427 turns.\n"
+          ]
+        },
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "[<matplotlib.lines.Line2D at 0x7fb71e0b32b0>]"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 41
+        },
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {
+            "needs_background": "light"
+          }
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "## Unstable case (high gain)"
+      ],
+      "metadata": {
+        "id": "ONOSRYuywlhh"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "mybunch = Bunch(ring, mp_number=1, current=1e-3, track_alive=False)\n",
+        "mybunch[\"x\"] += 1e-3"
+      ],
+      "metadata": {
+        "id": "kKT7HBz-wlhh"
+      },
+      "execution_count": 42,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "If the gain is too high (here gain = 0.5 is enough), the ``FIRDamper`` leads to unstable dynamics."
+      ],
+      "metadata": {
+        "id": "LCj3xmT7wlhh"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fir_damp = FIRDamper(ring=ring, plane=\"x\", tune=0.2, turn_delay=1, tap_number=5, \n",
+        "                     gain=0.5, phase=-90, bpm_error=None, max_kick=None)"
+      ],
+      "metadata": {
+        "id": "VeRYrl0Zwlhh"
+      },
+      "execution_count": 43,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = fir_damp.plot_fir()"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 279
+        },
+        "outputId": "3efd0ebc-b29d-4b2d-c44b-8c757dd96c1e",
+        "id": "_UryiiN9wlhh"
+      },
+      "execution_count": 44,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 432x288 with 2 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {
+            "needs_background": "light"
+          }
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "bunchmon = BunchMonitor(bunch_number=0, save_every=1, buffer_size=10, total_size=100, file_name=\"fir\")\n",
+        "\n",
+        "turns = 100\n",
+        "for i in range(turns):\n",
+        "  LongMap.track(mybunch)\n",
+        "  TransMap.track(mybunch)\n",
+        "  RF.track(mybunch)\n",
+        "  fir_damp.track(mybunch)\n",
+        "  bunchmon.track(mybunch)\n",
+        "bunchmon.close()"
+      ],
+      "metadata": {
+        "id": "f_CJObDxwlhi"
+      },
+      "execution_count": 45,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = plot_bunchdata(\"fir.hdf5\",0,\"mean\",\"x\")"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 290
+        },
+        "outputId": "db3bbde9-df58-47a1-99a4-4f0aed1ded9e",
+        "id": "XrWYoJjOwlhi"
+      },
+      "execution_count": 46,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ],
+            "image/png": "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\n"
+          },
+          "metadata": {
+            "needs_background": "light"
+          }
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = plot_bunchdata(\"fir.hdf5\",0,\"cs_invariant\",\"x\")"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 290
+        },
+        "outputId": "f80857ae-a070-4064-ceb4-3c51bcaa501c",
+        "id": "AMo0EWrEwlhi"
+      },
+      "execution_count": 47,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ],
+            "image/png": "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\n"
+          },
+          "metadata": {
+            "needs_background": "light"
+          }
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "## Physical limitations"
+      ],
+      "metadata": {
+        "id": "YYpjsQWrtbjn"
+      }
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "Physical limitations such as the maximum kick strength or the BPM measurement errors can possibly change the damping time."
+      ],
+      "metadata": {
+        "id": "6yU5XIp0yFjx"
+      }
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "### Maximum kick limit"
+      ],
+      "metadata": {
+        "id": "vjCCGfijlGD5"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "mybunch = Bunch(ring, mp_number=1, current=1e-3, track_alive=False)\n",
+        "mybunch[\"x\"] += 1e-3"
+      ],
+      "metadata": {
+        "id": "uWwl4EpExem-"
+      },
+      "execution_count": 64,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "Here the ``max_kick`` of the ``FIRDamper`` is set to 0.1 mrad:"
+      ],
+      "metadata": {
+        "id": "GGviqXgdxem-"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fir_damp = FIRDamper(ring=ring, plane=\"x\", tune=0.2, turn_delay=1, tap_number=5, \n",
+        "                     gain=0.1, phase=-90, bpm_error=None, max_kick=0.1e-3)"
+      ],
+      "metadata": {
+        "id": "yQeS05a1xem-"
+      },
+      "execution_count": 65,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "bunchmon = BunchMonitor(bunch_number=0, save_every=1, buffer_size=10, total_size=100, file_name=\"fir\")\n",
+        "\n",
+        "turns = 100\n",
+        "for i in range(turns):\n",
+        "  LongMap.track(mybunch)\n",
+        "  TransMap.track(mybunch)\n",
+        "  RF.track(mybunch)\n",
+        "  fir_damp.track(mybunch)\n",
+        "  bunchmon.track(mybunch)\n",
+        "bunchmon.close()"
+      ],
+      "metadata": {
+        "id": "zuzRZmS6xem_"
+      },
+      "execution_count": 66,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = plot_bunchdata(\"fir.hdf5\",0,\"mean\",\"x\")"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 279
+        },
+        "outputId": "01b82637-6ba7-4dbc-fd6b-9a489f67358e",
+        "id": "1NCNfjYXxem_"
+      },
+      "execution_count": 67,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {
+            "needs_background": "light"
+          }
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = plot_bunchdata(\"fir.hdf5\",0,\"cs_invariant\",\"x\")"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 290
+        },
+        "outputId": "6ee8e42e-8d7d-4252-d920-e47fa65eae44",
+        "id": "ryn8vjCRxem_"
+      },
+      "execution_count": 68,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ],
+            "image/png": "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\n"
+          },
+          "metadata": {
+            "needs_background": "light"
+          }
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "g = hp.File(\"fir.hdf5\",\"r\")\n",
+        "xdata = np.array(g[\"BunchData_0\"][\"time\"])*ring.T0\n",
+        "ydata = np.array(g[\"BunchData_0\"][\"cs_invariant\"][0,:])\n",
+        "g.close()"
+      ],
+      "metadata": {
+        "id": "zgj2tGT6xem_"
+      },
+      "execution_count": 69,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "def func(x, a, b):\n",
+        "    return a * np.exp(-b * x)"
+      ],
+      "metadata": {
+        "id": "xnxtezDExem_"
+      },
+      "execution_count": 70,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The damping time is increased from 7 turns to 11 turns due to the kick strength limitation."
+      ],
+      "metadata": {
+        "id": "Upd3Cb5iyS5z"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "popt, pcov = curve_fit(func, xdata, ydata)\n",
+        "print(f\"Fitted damping time is {1/popt[1]/ring.T0*2} turns.\")\n",
+        "plt.plot(xdata, ydata)\n",
+        "plt.plot(xdata, func(xdata, *popt),\"--\")"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 324
+        },
+        "outputId": "39c8cffd-f882-4544-9463-a0026bee0723",
+        "id": "Tt6DvKNwxem_"
+      },
+      "execution_count": 71,
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "Fitted damping time is 10.853769514931573 turns.\n"
+          ]
+        },
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "[<matplotlib.lines.Line2D at 0x7fb71dd8fe50>]"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 71
+        },
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {
+            "needs_background": "light"
+          }
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "### BPM measurement error"
+      ],
+      "metadata": {
+        "id": "yzt9wS4mucSP"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "mybunch = Bunch(ring, mp_number=1, current=1e-3, track_alive=False)\n",
+        "mybunch[\"x\"] += 1e-3"
+      ],
+      "metadata": {
+        "id": "YkXbGEjOxaf-"
+      },
+      "execution_count": 102,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "Here a random measurement error of 50 um RMS is added to the bunch mean position used for the feedback correction."
+      ],
+      "metadata": {
+        "id": "sU3pYzjfzK0x"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fir_damp = FIRDamper(ring=ring, plane=\"x\", tune=0.2, turn_delay=1, tap_number=5, \n",
+        "                     gain=0.1, phase=-90, bpm_error=50e-6, max_kick=None)"
+      ],
+      "metadata": {
+        "id": "xxxYQOQcxaf_"
+      },
+      "execution_count": 103,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "bunchmon = BunchMonitor(bunch_number=0, save_every=1, buffer_size=10, total_size=100, file_name=\"fir\")\n",
+        "\n",
+        "turns = 100\n",
+        "for i in range(turns):\n",
+        "  LongMap.track(mybunch)\n",
+        "  TransMap.track(mybunch)\n",
+        "  RF.track(mybunch)\n",
+        "  fir_damp.track(mybunch)\n",
+        "  bunchmon.track(mybunch)\n",
+        "bunchmon.close()"
+      ],
+      "metadata": {
+        "id": "xjpuJjg7xaf_"
+      },
+      "execution_count": 104,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = plot_bunchdata(\"fir.hdf5\",0,\"mean\",\"x\")"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 279
+        },
+        "outputId": "cb64b85b-734d-46c1-81ed-8b62ff24874b",
+        "id": "oB4Sjr8oxaf_"
+      },
+      "execution_count": 105,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ],
+            "image/png": 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La8vweT1Zs7OcLKqaUsudNR6OpU2L7RgYZ8QeQ7rMq11t1pf0AtsSCUdN1ir5TBzrGWUoi0sN4J4f7+Du/9qW9rGRiQh7Tw6ycXE1jRVFnDoHLJH2/nFK/F5WNZQDc2eJDIyF6bZTjA/NsTvru88e5R3/+dycjiFXHnypnT//1pYznozgiMiK+jK1RAoFJ96RKc03U3YW5L7P+lgo4lofMBkTGUtTtT48EcXZzj05Q+tg1zArG6z6EMeyGUkjRI4gVJf5qSjxA+kLDg90Tq4807mzdrUPUBbwsrS2jOpSq3Cxdzg/l5Yxhtd+/Q98/pH9Wc/berSP3XYmWDLbTwwQM7BxcRULKmbXEmnrH8saQ5op2vvHWFRVTH15EZC5VsQYwzv+8zke2XVyVsbhuLAayos4NMeB9cf2dPL4vq45r0fKhYe2d/C7vZ0Z67lmi5MD4/g8wstX1rHv5BCxWUzIUBHJEccSiUzLEsltY6qRiURLZCp3Vkt1KZCYhTQRiXKsd5QV9ZaIFPm8BLye9O4sR0RKA1TYFku6WpEDp4bi/ib18Z3tg6xdVIHHI9QEbRHJs1aka2iC7uEQLxzvz3jOeDjK8b5RuodDaV1aLxy30hk3NFfRWFlM5+DErKwAYzHDa7/2Bz7xs50z/tzJdAyMsaiqhJKAl/IiX0ZLpH1gnMf3dfH4vs60j58ujvVx/fmN9I6E5jQDz3Gn7WxLv5jIlb6REK/8wu/ZdrR3JoaVlt0dlpX+/LHZT7WN59TgBA3lRaxdWMFoyPrdzBYqIjnicwPrmSyRzDGRYLGfnhxW5qNJlkiJP7uILKgopizgdTN4AA52jhCNGdYsKHePZYrJODGRatudBektkYNdw5TbsZXk1V80ZtjTMcgFi6zAb41tieQ7yThB270dgxn7gR3sGnYLGtMFzV841s/yujKqywIsqCgmFI1lXK12Do7zoR+8mNaymordHYOcGpzg0d2nssZnZoK2/nGaqkoAqC8vSol/Oey3XRazteI91D2MzyNcs6bevT8XjIejHO+1JsQdpykiv9/fxYHOYR7dMzvCOzQe5pg91viswTPBqcFxGiqKOW9hBTC7wXUVkRxx3FkZLZFo+uwsgM3La9h7cohjPdlXA6MZAuvpWheMhCKUFXntAPLkxOEE0c6LE5FgsS9tim/faAgRqCjxZxWRA6eGOX9RBcV+T8qke6RnhNFQlAsWWV9Wpw9XvgWHzqQ0EYlxpCe9u6Q1zq3WntQbyxhjBdUXWwHoBRXFQOaCwy8/doCfvtA2rfbqv9/fBVguwj8e7M7773NlPByle3iCRbaI1JUXZbRE9tvWojPBxvPhB17iFf/6O97wjT/xoR+86I4/Hw51jbC4ppQ1jdb36nTSfCciUXacGMjJxZvMkZ4RN3U1myXSMTDGp365O2NKOsCTB7rSPo8xhr//2Q6+9YfDp2XJOhN3wOfJamGfDsYY3vrNZ3lgy/GE46cGx1lQUczqxiAisLdDRWTOcepEppOdddv6RQD8/MW2rK8xGkp2Z2WrE7FqShZVlSRYIntPDhHwelhWV+YeKwtkFpGqEj9ej7giMjiWeJ4xhgOdVoylujSQ4s7abTddXJskIvlaIvHBWqeRYzLxLeaTGyye6Buje3iCjYurAWistEQkXa1Ie/8YD2y1fnTTKZx76kAXq+xCzkd2pW+AORM4bspFcZZIdwYR2WeLSFv/WEItkzGGX+/swO/xuJ2fv/RoatzpoR0dvPNbW/j33x3g2UM9KRbWoa4RlteX0VxdQsDrmVZw/ZtPHeIN3/gTF33yEV7z70+nHcdUHOy0Xnd5XVlWS+TbfzzKfU8fzniOMYanDlgLgO0nBhLE4njvGP/9zDE++YvdvOs7W6ftunN+G6++cCG72wfytlrb+8fY/M+P8dzhzO62oz2jPN3azWN7E7+HJwfHaawoojTgY0lN6axmaKmI5MhU7qxIzOBNU2wI0FxdymVLa/jpi20ZVzbGGEaS3FnFfg8ipN0id3giQrDIx4KK4oTA+p6OQVY1Bl3RAygv9qVte9I3GnYD4Zkska7hCQbGwqxqCFJVGkixRJyJbnGNFZ8pDXgJ+Dx5Bz0P2ckAAa/H9SMnc6BziJaaEkSgLclt46z0NrYkWSIDqZPu155oBazPJd/JcGQiwrajfVx3fgPXrKnnt7tPnVYV+aO7T/GqrzyV1tp0rK1FtiA2ZHFnOQIbjpqENOCuoQlGQ1HuetlSfviel3HrhQtTrDiAnzzfxu/3d/G5R/bzxnuf4TX/9rT7vqIxw+GeEZbXW9+rJbWlWWtFjvWMpnzPu4cn+P9+tYee4QnetnkJqxqC02rJ4cRDXrN+ESf6xtJO8I5wwmR9UzL7Tg3RNTTBhpYqBsbCHO+d/Ey2HLEm7Xe8fClP7u/m1q88Na34y+72QWrKAty0bgHhqHFbAyXT1j/G+/7n+ZTK8l9ub+fk4DjfffZoxtdwBCbeSh8NRRgaj7gLqfMWVLBP3VlzjysiGdxZ2bKzAO7Y2MShrhF2tqWfICciMYwhwRIREUoydPIdnYhQVuRjYVUJnUMT7q6Le08Ocd6CioRzy+x93pPpGwlRVWqJR6bsLOfLuaqhnOpSf4ol0jk0TrHf49ajiEjagsOXjvdnbUJ5qHuENY3lrGoMuiu4ZFo7h1m7sIKG8qKUiXD78X6KfB7XjVdfXoRH4GRS5lp7/xgPbDnB6ze1sG5RZd6+/WcO9RCOGq5eVc9NFyygZySUMWj6nT8d4WM/3p7VJfK1J1rZ1T7IM4dT3WrtaSyR4YlIShucWMxwoHOI1Y1WMkX8hOhkUi21LdOmauv7kuzmOdE3yjVr6nnhE6/kozev4UDnMFvtybS9f4xQJMaKeus5lteXZawV2dU+wNWfe5zf7U2MMzjfo//9mgv4+1ev5arV9exqH0zZLbR/NOSmEqfjYNcwTVUlXLq0xn691O/Kno4hjtqu40wbpD2137JC3nvNCiAxvrL1aC8VxT4+8aq1/OS9LyMSM/zLr/dmHFMmdncMsnZhBRttF2umuMivtrfzq+0d/OSFEwnHf7PTyrR7ZNepjK4/53tztGfU/SxP2Y1HnYXUeQvLOdwzMmsdfVVEcsQ3RbFhtuwsgFsvXIDfK/wsg0vL+ZLEx0TACq6PJpnBsZhhJGS5sxZWFmPsgsOe4Qm6hiY4f2F5wvllRZktEcf95Pd6KAt4M4tIo+POShSHrqEJ6suLEJl879WliSJysGuY27/6B678zO/46uOtKbUgExErWLq8voy1CyvY3T6YMvGGIjGO9IyyqqHccuElicN+2+XmWGB+r4e6YFFKTOTrTxzEYHjvNStYVl+W1p2V7cf21IFuiv0eLllazTVr6gl4PTy8M31a7XefOcb3txznF9s70j6+7+QQz9sTy+/3pcYpHKFcYK8o64NWmm/3UOI1ON43yng4xnXnNVr34+IiR7on3T9gCZIxiWnhxhja+sZoqiqhuizAXVcspcjn4Td2urCzN81yO+NveX2QY72jaRMgHt51CmOsRUM8zvfIST2/qLmSiUgsZZJ/+/3PcdmnH3X9/MkLD6ex6Loma6GUzl31m50deASaqkoS0tPjefJAFysbgly9ph6/V9jeNjneLUf62LS0Bo9HWNdUyZ2XtvDHg91Za3TC0ViCuyoSjbHvlNXFoaG8mObqkoyLja1HrOM/fn5SRE4OjPP8sX6uWl3PWDiacd+gZw/1EvB5iMSMK5yOd6DREZEF5RgzGTebac56ERGRm0Vkn4i0isjHZut1JlN888/OAqsq/No1DTz4Unta94djbcS3PYH0G1M5olIW8LKw0nHbjLkma7IlUl6UPibSPxqiynZngWWNJIvIgVNWZlZDeRFVpf6E7XTBcnc1lBcnHKsNBhJSfJ1xLa0t47MP7+PKzzyeMMkc6xklZqwV7tpFFfSMhFJ+sEd6rKyzlQ3BlDgQWPunOBOUg5V0MPk8JwfG+cGW47zukhaaq0tZXldG/2g4wSXSMzzBhn96hH977EDK5wXW5LN5eS1FPi/lxX5evrKWh3efTBG9gdEw+04NIQKf+uXutDUl33vuGAGvhw0tVTyZJtjd3j9GXbCIYvs7MVkrkvjenc/3WjtzKj6d83D3CAGvx7Vmmu3/42NKg2MRhiYiNNsp42VFPq5aXc/DO6335bj8HCFaUR8kHDUcT5MJ9pg92e1LmrBaO4cpC3hd19xFzdbqfEfc5N09PMH2EwNsWlrD8b5RPvrj7fzlf08WlsZi1lhW1JdRVRqgpaYkrZvp1ztPctmyGjYtrU5w8ziMh6M8d7iXV6yqo8jn5bwFFe7z9I6EaO0cZtPSavf829YvImasuFEm/vK/t/GGb/zJ/R4c6h4hFImx1s6O2ri4Oq0lYoxh29E+ygJedrYNurGLh20B/8SrzmdRZTE/f7E95W9P9I3S1j/Gqy9a6H7GMBkHnBQRJ0NrduIiZ7WIiIgX+CpwC7AWeJOIrJ2N18rNEsn+cd6xsYmuoYm0GT3Juxo6lAa8Ke6LSavFx8JKa1Jo7x9njyMiaSyRdOZw78jkroZA2v5ZrZ3DrGwMIiLUlFkxkfjCpa6hCXeF7JBsiTj+8+/+xeU8+P6XE40Zvh+XTXLQnaSC7o9uV1JcxFmxrmwI0lxVQlv/mPuDHZmI0NY/xqokEWmsKE6oWn9oRwehaIx3X7Xcej3bPRNfPPf8sX4mIjG+8Oj+lJqLE32jHOoa4RWr6t1jN16wgOO9YykplM6q8+9uOZ+e4Qk+//C+hMfHw1F++kIbN61bwO0bFnGoeyQls6qtf4ymqkmBdsQ6eZ8UZ4V5QVMljRVFCWm+h7tHWFxb6lrJTdW2iMSdc6Lfet1m+zGAmy5YQPvAODvaBjjUNUxlid/9rjif28GkCfrkwDi72gcRgf1JFoZjQTgW65KaUsqLfbx0YlIEnjlkuWbuueU8nvjINbz7quU83drtinzH4Dhj4ai7WLiwqTLFEmntHOZA5zC3rFvIyvogbf1jKd/9LUd6mYjEuMq+juuaKt3guhOncdxlAKsayzlvQTkPvpQ6kQP86WAPj+7pZPuJAdeyTE44uXhxFR0D4ymFwUd6RukZCfHea1fi8wg/3mZZI7/e2cHKhiCrGsu5bUMTT+5PLa589pDlbnzL5YuByXjRpIhYv8vFNaWU+L2zluZ7VosIcBnQaow5ZIwJAd8Hbp+NF5qq2HAqSwTguvMaKC/y8bMXUr+MTsyiJJBsifgYS9pPxLEqgkU+FlY5lsg4ezsGqQsWUZc0qQeLfIyEogmT/1goykQk5sZEIIMl0jnsTs5VpQFihoRVdaftzoonuZPvwa4RFlUWU1bk46LmKjYvr00QUicusby+jPPtH11yXORAp7WqX1FvWSKhSMxNI3a7FidbIklV688c6qGlpsSNDyyzd32MDxLvONGP1yOsaSzng99/MWFid7J5rl5d5x674fxGRCZXjg5bjvTi8whv3byEt21ewneeOcr2E5Mr0V/v7GBgLMybLm3hqtXWZJacemtVq09O7Jmq1vefsuIEwSIfLdWlie6snhGW1k5m6i2oLLYSE+IsEUd0muJE5IbzG/B6hN/sPOlmZjkCsML53JLiSU6G0K3rFnIkyQff2jnMyvrJ6+PxCBc1V7IjTkT+eLCHYJGPC5sqERFuXrcAYyZTcR3Rcgpp1zVVcqx3NCEg/Rs7oH7TBQtYZceIkuM3Tx3oxu8VLl9uCcVFzZUMjUc42jPK1iO9BLweLmyqTPib16xfxLajfZxIKtozxvCvD++lsaKIsoCX7z13DLDiIQGfx7XenKzBZGvEiTvduLaR685r4KcvtNM5OM5zh3u5Zd0CAG7fsIhIzPCrJEvoucO9VJb42dhSzcLKYvfzOTk4TlnAspSdz3rNgvJZS/M920WkCYhPkD5hH3MRkbtFZKuIbO3qyj8/3mHSEkl1ZxljiE4REwEo9nu5ak09z6YJojo/uLJAkiXi96ZkZzm7GpYV+Sgv8lkFhwNjdlA90QqBuH3e454nvlrdIXl3w74RK8jp9G2qtgXHCa5PRKL0j4bTisjQeMQN9B3sGnb96QAvX1nL0Z5Rd7I71DVCfXkR5cV+Kor9tPKx4N8AACAASURBVNSUpGRoHegcpqW6lJKA151YndV0a5f140jnzhoYCzMetgT0uSO9bF5W6z7eXF2CzyMJcZGXTgywqiHIN952CTFjeM9/b2P/KavG57E9nSysLHYnMbAm9kuX1KS4OrYe7eOCpkpKAl4+fNMa6oJFfPD7L/Ksvdr+3rPHWVJbyubltSyvs1Jn40XEGEPHwLhraTqfq0dS+2ftPzXkFpe21JS6ohCLGY70jLKsrtQ9t8jnpT6YmJjgnO+4s8BaMFyxvNYSke7hhPdcWeqntiyQktn22J5OWmpKePVFCzFm0r0yNB7m5OA4K5Kuz4VNVew9Oej2a/vTwR4uX1bjxrUuaq6iutTvxotak0XELnDdGZf19OudJ7l4sdWAc6X9vU2Ouzy5v4tNS2rcJBZHMHa0DfDckV4uaq50XYgOr7nIStP/ZVJ869E9nbxwrJ8P3rCa2zc28cvt7QyMhdndPsiaxnL3vaxdWGHViyTFRbYd7aOi2MeK+iD/zyXNdA9P8Pc/20nMwM22iJy3oJzVjUF+/kJiPPXZwz1casduVtQH3dhV5+CEm5nl8ObLFnOr7faaac52EZkSY8y9xphNxphN9fX1U/9BBrJlZzkxjqksEbCCo+laizgmd2mSJWK5sxJjIsNxQXgRYWFVCSf6xth/KoOIpNlTxLEUsomI86V0JmfnXEeAnCr8hiQRqY6rFXF86k5mD8DLV1oreccaOdQ17K7YwPrB7UmyRA7GWUSLbOvLmQhbO61q6iVxK26Y9AmfHBhn36kh+kfDbF4+KSJ+r4fFNaWuiBhj2H6in/XNVSypLeNLb9zArvZBbvzik1z12cd5dM8pXrGqLiGJAOA16xey/9SwG5sIRWK8dLyfTUus1WdFsZ8vvXEDo6Eob7z3Gd76zWd57kgvd166GI9HEBGuXl3PH1u73aypgbEwo6Go+17B2o6gNliU4M4KR2Mc6hpxV93N1SV0DIwRjsZoH7CyqhyLy6GpuiTBEmnrG6M04HUXCQ43XdDIoe4RTg1OuC4shxX1wQQRGQtF+UNrN9ef1+gKmhMXcdyVye7G9c2VhKOGvR1DdAyMcbh7hCtWTF4fr0e4anU9v9/fRSxmONg1TEWxjzq7tU785A9WbG1X+yC3rLMmyyW1pfi94n6Pwcom3HtyiFfEWZOrG8sJeD1sOdLLzrYBLl026cpyWFxbyoaWKn4R59KKxgyfe3gfy+rKeP0lzbz5ssWMh2P89PkTbmaWQ8BnWTcplsjRPi5ZUo3HI1y7poHqUj+P7D7F4ppS9+9FhNs3NLH1aJ+78Do1OM6RnlE229bUyoYgBzuHMcZYNSJJcco3XNrC2zYvSXlfM8HZLiJtQEvc/Wb72IzjurPSWCJOnCRTnUg8QTvInRyIdYQiWUTSBdbdmIi9klpYWcxzhy0/73kLE4PqMBlnifcNOwHy+IkjOSaSnFHjuL6cWhGnZiHZEqktm+yf1Tk0wfBEJMESWdUQpL68iD+0Wqvyw90jCY+vXVjJ4Z4Rd7wRe6J0xtGUFBw+cGrYnjASv87xVeuOBeC4MByW15e5k+GJvjH6RsNcaO/dcf35jfzi/Vfyb2/ayOdev57/89oL+ciNa0jmlgsX4vUID75kffV2tg8wEYlxaVxw9uUr63j8I9fw0ZvX8NLxfgJeD6+7pNl9/OrV9YyEoq5P3nlvTXHuLLAEO96ddbRnhFA05laSt1SXEjPWZmVHuq0JZ2mcJeI8Z0JMpG+U5uqSFHG88YIFk59TkhAlp/n+obWbiUiM689vYEltGQGfx43VOL3Xki1F53PefqKfP9mdA+JFBOCaNfX0jITY2T7gNhZ1xlldFqCpqoQdbQM8vreTP//2FjwyuYL3ez0srS1LsEQet1OPr149uaAM+Dycv7Ccnz7fRjhqEq5bPLetX8Su9kEOdg0zHo7yX386wr5TQ/z1K1fj83pY11TJRc2VfOPJQ/SOhNx4iMPGliq2tw247uD+USeIX+OO4/YNliPllnULEq7HbesX4fUIH37gJQbHw2786HLbsl7REGQkFOXk4DgnB8bdjL4zwdkuIluAVSKyTEQCwJ3Ag7PxQtn2E8nHEikv9hEzqVXo2QPrSSISiiScu9B22wAZ3FmWMMU3YXSyp+ID6xXFfkZCUdcNte/kECV+rzuRuZaI3XOrK4OIxHfydSaaeHeIiPDyFbX88WCP1cxvNJxgqaxdVIExk20jjvWOEorG3EmossSf0DOstSs1MwtgQaU1rlOD4zxzqJfm6pIElw3AsroyDveMEIsZttv++fV25hBYE91r1i/idZc086bLFtNQkfrjrAsW8bIVtfzipQ6MMa6f+5IliYJVEvDy3mtW8uRHr+WhD1yZ8LldsaIWn0f4/f4uOgbG+Ief7wJwLQyH+qTWJ04Ae7UtIs011rU63jfKYSfWlGyJVJXQPjDuxshO2Om9yTRWFHOxXeOwIskSWV5fRs9IyLUGH9vbSbDIx+XLavF6hFUNQdcya+0aJmBbfcnjqC0LsP3EAH882ENVqZ/zkzILr1pVjwg8vreLg10jCd8jsKyRX+/o4B3f2kIkGuObd22iJe51VjUGEwoOH9l1iqaqkgQrAaz4irN9wSWLUy0RgFddtBARePN/PMOFn3yYT/5iNxc1V/KqCyfdRG+6bLHb1y1ZRO7Y2EQ4GuPrTxwEJpMvLlkyKVpvuXwxiyqLee3FzQl/21JTypfeuIHnj/Xx5v94hod3naS8yOe+hnN9DpwapnNonIaKxN/kbHJWi4gxJgK8H3gY2AM8YIzZNRuv5c3iznItkSmys2DStZTcVdfJwEp1Z/nSZGdZouLEOhbYfnOvR9JOpsEif8LfwaQ1UZXgzkrs5Lv1qOUf9tjvPdmd5Uxm6VJ8wRIqN/MqaRJ62co6uocn3ID08iQRgckOqAfcWhVrohQRO83Xctcc7RnNICKTmWvPHu5xV23xLKsLEopYrp/tJywLYU0aIZ6K16xfxLHeUV483s/WI30srS1NEVeH6rKA6693KC/2c8mSan7+Yhuv+srT7OkY5Ctv2phyXn0wUUT2nbQSDpz373R2Pt47yuHuUUr8XjdLx6Gp2kpM6B6xnseyRBIneIfXb2qhLljE4trExzcvr8UjcP3nf8+nf7Wbx/ac4qrVdQR81m9gTWO5KyIHO4dZWlea0EUBrOt4YbOVGfWngz1csbzW/a451AaLuKi5il9sb6draCIlrnLd+Q3UlBXxiVev5ZEPXe3WyjisbCjnWO8o4+Eoo6EIT7d288q1jSlW10W2VbSmsZzKJLeeQ2NFMXddsZTldUH+4hXL+b9vvYT/edfmhDHftn4RZfZvOHlBt66pkj/b2MR9Tx+mrX+MrUf68HkkYdGyqrGcP95zfdrv4GvWL+I/7tpEa+cwD+04yaal1e685Fz/rUd6CUeNa4WfCc5qEQEwxjxkjFltjFlhjPn0bL2OP0vvrPwsEesLOjyRGBdxJvi0dSLhDO4s28Jwcu+X15WlBATjz4uPiUzuahjnziqdrFofGA2zq30wwb1QXuzDI5OuMKe9hiMaDq4lMhLiUNcwpQFvypfaiYt8509H7bFPTg6LKoupLPHzwJbj7G4fTHGrgVU019Y/xlG7fmRVQ/qEgmCRj6cOdNE3Gnb9x/E44nW4e4SXTvRz/sJydyLMh5suWEDA6+HBl9rZdrQvxQrJhavX1NMxME5DeREP/tWVbs+1eOrLi+gennCtiP2nhlhSU+pe94WVxXg9wom+MY70jLCktjRlwmyKS0wYHA8zOB5JSO+N585LW3ju766nyJf4vbqouYqHP3gVN13QyH1PH6ZzaCJhAl+9oJyTg+MMjIatzKw0Iu88z75TQ7T1j/GyFakiD3DN6vqUoLrDGza1sPXvb+CdVy5Le91WNQSJGev6PrnfcrndeEFjynnr7PjKpgyuLIdP3nYB37t7M39783ncvG6Bu5BzKCvy8dbNS7h4cZX7W4/nIzeuQYDPPbzPSr5YVJGSkZmNa9c08J0/v5zasgC3xllA9cEiKop9PN1qxRnPpIj4pj5FgXhLJF1MJJZwTjacluqDSZbI4HiYsoA3ZbVW6vcSjhrC0ZgrZMNuEN6xRJz2BqnxEOs1/Ql/B5Y1UV7sS4gjxPfPau202q5fEReI9niEqtLJQsKuoQlqygIpsQgnztI7Ylkiy+vLUlaYTVUlLKsrY0/HIH6vJExiIsLfv+p8PvXL3dz6laeoLvWzqLI44Qe7qMoqNEsnMPE0VhTxJ9t/HB9Ud3AC+q2dw+xsG+TPNjalnJMLlSV+rl5Tzw+2HGc0FM3oV8/G269YSnVpgDs2NGWcWBrKi4jEDH2jIWqDRew/NeS6ssBqFLqwsth2Z42kdC+AyTYq7f3jrvg0ZRAREUEyfK1XNZbzpTs38oEbVvO7vZ28Zv3kpOaspHe0DXCsd5TbNqT/XC+KS6W9YkVd2nOuWVPPl+3iz2S32lQ434sDncM8sa+TyhI/ly1NFfg1jeX82cYmXr+pJeWxfPnYLedlfGxRVQnvvHIZX3viIH6v8LbNS/N+/suW1bDl4zck/KZEhBUNQbfuJp3bdbY46y2RM8XkzoanHxMBUtqQDI6F3Uk8nnRb5I5MRCjxe13RciaFdPEQiNvdMElE4jOzIFFE/nSohyKfx22t7mBVrU+KSHKhIVgTWWWJnz7bEkn2yTs4K88l9la+8bx+UwtP/e11/NV1KwlFYm6evUNTVbEbcIVUd5nDArstTFNVSYKv3KG+3Mrv/93eToYnIq5bYzrctn6Re52mWtGmI1jk402XLc66Mq0vd7oTT/DL7e0c6RlNEBGwXFpH7OLFpbWpn4tbcNg/mja9N1+W1ZXxziuXJVgrTqD/4V0niZnMIu983vXlRRkFwkn19XslJa6Sy9g8Yu1T87u9nVx/XkPKdw2s7+wX37iBDS1VaZ4lPyzhzTwX/OU1K9xtpKfzPQFSFmUAK+uD7lykgfUCZHKP9TSWSNSJieTuzkqOiQyOh90miPG4W+TGi0gokhCAX1Ef5N1XLeeODKvodCm+VgffxNdLEJGDPWxaWp3ixqgpDUwG1ocnMgbwasoCtPWP09Y/luKCcHBcWvHpvcnj+fCNa3ju4zfw+TesT3jMEc6nDnTTVFWS0LgyHifNNzkry0FEWF4f5A+2G+Ci5ulPItef30CJ30qVzfSeTxcnzvL2+5/l/f/zAsvrynj9puQgbAk72weJxEzClgAOFcV+yot9tPWN0daXWq0+EyysLKa8yMev7b5iKzN8Hg0VxSyrK+Oa1fUZJ16vR3j1RYvY2FKdVgCyUez3sqS2jB8/f4L+0TCvXJvqyjrTlBf7+Zub1lDi93JZmnTi6RIv1OkWd7OFurNyJFvbE9cSySXF153QE2Mig2MRKtL4UCe3yJ0UgJGJqJtxBdaP7J5bz8/4mkU+L36vJMVEEluewGQn36M9o+w9OcRHblyd8lxVpQG3ardzcIJly9ILQE1ZgOeP9WFMZivhiuVWJk/ySjqZ5Iw1mPTr72gbcNtXpMPxDW9OE1R3WGbvTVEa8GZcMedCacDHe69ZQdSYrCvR02FxTSk+j1BR7OcTr17Lqy9alLJ4aa4udb+T6UQE7DTf/jH8Xg/Ffo+blj1TiAirF5Sz7WgfIpm/AwA/es8VU8YF/vG2C6Y9lpUNQX67+xQBn8ftDjDX3HnZYu7Y2JQ2hjldnIVLXTAwrbjedFERyRG/J3NgPZ/srPIM2VmD42G3mWI8VW6V+GQbkZGJSNqJNRvJnXyP9426efoOjoj9drfVviI5Zx+seMfOtjDGGLqGU1ueTJ4XYNuIlcKYaVVeXRbggXdvntaq3bFETBZXCVhNHz2S/r04OBPtukWVOVmT2fir61ed1t9PxYLKYp7622upDxZlXJW31ExaFUuzisg4Po+HpqrUGpGZYI0tIi3VpVkny9ocVs3p3De54ojIlSvr8v7dzCYzKSAw+TtoPIPxEJiGiIhIGTBujJndzaULjGyB9XxiIk6BYLrA+po0K3K3X1JcWufwRCSlPcpUBOOaMPaOhOgfDae4kYr9Xop8HndVns61U11mtYMfHI8QisQyikj8yjbTahhSaylyxekBNZWI3LGxiYtaKtPGQxycVXKyqBYq8a1Q0uGk+ZYX+zJaGE3VJWw50ovXc3rxkGw43+fkSvUzjfP6heDKmk1aakoJeD1nXESmXDqLiEdE3iwivxKRTmAv0CEiu0XksyKycvaHOfc4AhFOWyeSe3aW1yNW1XpKYD2SNibidm6NExFnf/V8CBb53GKqQ2kKAB2cuMimpTUpWVdgWUYTkZjbfiFbLQRYK958Uhhzxe/1uK0dsk1SAZ8npTV+Ms7jm5ZML8hZaDiCuayuLKOF0VRVwuB4hIOdIzMeD3Fw3JSn4yKcCa47r4G3X7HEbZl+ruL1CG+8tIWb0qQwzya5LGcfBx4F7gF2GmNiACJSA1wLfEZEfmqM+e/ZG+bc4/EIHiHtXiD5WCJgT+hxnXBjMWMF1otTL0e6pnujE1HKaqdviRzKUAAIloh0Dk0kpPbG42R0OYVkU1kiycVhM8miKqtL7+lOUmsWlPPLv7qSCxZlF5uzhfpgEQGfJ21mloPjDhwLRzOm954uaxdVUFsWSJtafSapKg3wT7evm9MxnCk+dceZf5+5zEQ3GGNSOgYaY3qBHwM/FpH0JZ7nGD6vh3C23lk5ikh5ceImUcOhCMaQ1hLxeoS6pKZ7zv7q+VBW5HNTcw92D+P3StpWF44lkimG4GR0OX2Rkpsvuuc5e09kcWWdLovtjrVVpacfFF7XdHa4snLB4xH+6bYLOD9D3RAk1oXMljurssTPtk+8claeWykcppyJ0gnIdM45F/B7hGjWLr65ZUQEi30JgXWnzUi67CywVvtOdThML7AeLPa5O94d6hpJW5sB1g8/WORjXYZVuTNhOyJSX57e/3omLJGP3LQmZaMexeLOyxZnfby5Kl5EZscSUeYHOc9EIrIJ+DiwxP47AYwx5qJZGlvB4fVI+uysPOpEwMoTj++WOzhmCUpFSfrLEd+51d1fPc84QzAQ784azpgR9edXLuNVFy3MmPlT7YrIMAGfJ60LDiw/eHmxb1qV27nSXF06a6voc526YBEBr4dQNJYgKIqSL/ksZ78L/A2wA0i/0fg5jt/rcTvcxpNPnQhY7qz4HdKc1tDZLJFd9v4a7v7q00zxjURjHOsd5ZVrF6Q9zykAzITjzrK2bs2cGtpSU8qOT96U1xiVM4fHIyysKqZjYDxlJ0xFyYd8ZqIuY8ystFk/W/B6JG1gPZ/sLLD6Zw2nc2eliYmAlaHVMxIiGjOMxu2vng/BYmuL3GO9o4SjJmvxVzbi4w9nst20MvM0V5fgFTmtGgxFyWcm+gcR+SbwGOBGeY0xP5nxURUoliWSOSbizbFgqzw5JmLfTtc7CyxLJBoz9I6EEvZXzwenwn2nbdHk28jOIeDzuBtrncnWCsrM8+Eb1yT0U1OU6ZDPTPQO4DzAz6Q7ywDzRkR8XiE6A9lZwSI/Y+Go25l3qsB6Q1zBoSNYyfuO5PKaADtOWNtzJm+Zmg9VpX5LRDJkZilnBxcvPjfqYpS5JR8RudQYk7o36DzC65HsXXzziImAlWVVVRpwYyLBDEFqZ7LuHBp3GyLmn+Jr/d1LJwaoKvWn9M3Kh+rSACf6xlREFEXJq4vvH0Vk7ayN5CzA7/Fk2E8kz2LDpP5ZA2Nhyot8GS0Zp2q9a2jCbcSYb0zEEa5dbQOnXbvh9PNK3tFQUZT5Rz4z0WbgRRE5jBUTmZcpvukr1p3Aem6aXJEkIplanjhMWiITbnfOvLOz7F5bI6Eoy0+zTbmT5quWiKIo+cxEN8/aKM4S/F5J3zsrmp8lMrmniOXGGhwPu5ZCOkoCXsqLfHQNTbgT+HQq1h2mm5nl4KT5qogoipLzTGSMOTqbAzkb8Hk9WXtn5R5YT9wkanAs/YZU8dSXF9E1NOG2KinNswFjvEhl2mkwV5w030wtTxRFmT/kU7G+A9ge928HcJcx5tOzNLaCw+uRtMWG+cZEkvcUGRyPpO1jFY8jIo7w5NsKfiYtkVesqmNX+6CKiKIoeQXWrwb+AxgD7gR2ArfOxCDslvJ7RWS7iPxURKriHrtHRFpFZJ+I3BR3/Gb7WKuIfGwmxjEVfm/6ticxk6cl4ohIgiWSXRQaKorpHBpnNJS4v3quONaPR2BJ7em1Ctm0tIZv3rUp761KFUU598h5FjDG9BpjnjDGfMUYcxdwKdA6Q+P4LbDODtLvx2o7j50NdidwAVZM5msi4hURL/BV4BZgLfCmM5E55vV4svbOyrUBY0WamEimQkOH+qBjiUSntTtbkc+DzyM0V5em7JuuKIoyXXIWERFJ2HDbGHMAmJHMLGPMI8YYp3T2GaDZvn078H1jzIQx5jCWaF1m/2s1xhwyxoSA79vnzip+j2Td2dCbY52IM6EPjUeIxQzDE+n3V4+noaKIkVCUrqHxhP3Vc0VECBb7TtuVpSiKEk8+S9pviMgKoA0rJlIM7BSRMmPMyAyO6c+BH9i3m7BExeGEfQzgeNLxy2dwDGmxKtYz77Gea0xERKw9RcYjDE1k3kskHqfFyOHuEUrzjIc43LGhifUt586+GYqizD1TzkYiIsbiWvv+YmA9sMH+/3kRYapqdhF5FEjXOvbjxpif2+d8HIhgdQyeEUTkbuBugMWLs++xMBU+T6Yuvvk1YAQrzXdoPBzX8mSqmIglIsd7x9jQkrr3eS588rYLpvV3iqIomchpe1wR+THwc2PMMWPMMeCYiDwMvAK4C9g61ZMYY27I9riI/C/g1cD1xhhnud8GtMSd1mwfI8vx5Ne9F7gXYNOmTalmRB74MgTWI3k2YATcJoYDU3TwdXBqMkLRWN77qyuKoswWuYjIzVgupu+JyDKgH8uV5QUeAb5gjHnxdAYhIjcDHwWuNsaMxj30IPA/IvIFYBGwCngOq1p+lT2eNqzg+5tPZwy54PWIG0SPJxozeIS8WmqXF/sYHI9MuZeIQ3yLkekE1hVFUWaDXLbHHQe+hpUZ5QfqgDFjTP8MjuPfgSLgt/YmR88YY95jjNklIg8Au7HcXO8zxkQBROT9wMNYYna/MWbXDI4nLX6Px907JJ5IzOScmeVQXuyjvX98yl0NHapK/PjsnRXzrVZXFEWZLfKajey91DtmehDGmJVZHvs0kFLQaIx5CHhopseSjUyB9WjM5F23UV7sZ2hiKGdLxOMR6suL6BgYn3ZgXVEUZabRarE88Hky987KNTPLIWjvbjjVrobxOHGR6aT4KoqizAYqInng86ZvBR+NxXKuEXFwdjccHAsjYm2ZOxVOmxGNiSiKUijkU2yYUhEuItfM6GgKHCcmkYwVE8nfnRWJGTqHJggW+XIKyteriCiKUmDkY4k8ICJ/KxYlIvJvwP+ZrYEVIplSfKcTE3H6Z7X1j03Z8sSh3s7Q0hRfRVEKhXxE5HKs2ow/AluAduDlszGoQsXnsVrBT5axWEwnO6siTkSmCqo7uJaIBtYVRSkQ8pn5wlgdfEuw6kQOG2NSAwTnMI7LKtkamZYlYruk2vvHpkzvdWhwA+sqIoqiFAb5iMgWLBG5FKtS/U0i8sNZGVWB4rQ+Ty44nG5MBGA8HMvZEnnZilr+18uWsnFxdV6vpSiKMlvks6R9pzHGaW/SAdwuIm+bhTEVLJOWSAyrxtEiGotN2xKB3NJ7wRIe7X+lKEohkc9+Iin9sYwx/zWzwylsfHYab4olEp1OsWGciORoiSiKohQaWieSB647K01MxJdnnUi8cOQaE1EURSk0VETyINGdNUkkZvDmmZ0Vn6arloiiKGcrKiJ54IpINI0lkqc7y+f1UBqwhCTXmIiiKEqhoSKSB25MJJacnZV/YB0mg+tTbUilKIpSqKiI5IFTUJjcP2s6lghMBtdzrVhXFEUpNFRE8sCf0RLJPzsLIGjHQtSdpSjK2YqKSB54PemLDadriThuLBURRVHOVlRE8sCJiYSTs7Oi+WdnwaQ7S2MiiqKcraiI5IFjbSTvbjhdSyRY5MMj2lBRUZSzFxWRPHAC6+Focp1I/ptSAaxsCLKyIZjTXiKKoiiFiC6B88AJrM+UJfKuVyznL65cPiNjUxRFmQtURPLAm6HYcLrZWSKCqBGiKMpZjLqz8sDvTe/Omq4loiiKcrZTUCIiIh8WESMidfZ9EZGviEiriGwXkYvjzr1LRA7Y/+46E+PzZgisT6d3lqIoyrlAwbizRKQFuBE4Fnf4FmCV/e9y4OvA5SJSA/wDsAkwwDYRedAY0zebY/S7Kb4zExNRFEU52ymk5fMXgY9iiYLD7cB3jMUzQJWILARuAn5rjOm1heO3wM2zPUAnOyuaUicyvd5ZiqIoZzsFISIicjvQZox5KemhJuB43P0T9rFMx9M9990islVEtnZ1dZ3WOB2hCM9QxbqiKMrZzhlzZ4nIo8CCNA99HPg7LFfWjGOMuRe4F2DTpk1mitOz4s+yx/p06kQURVHOds6YiBhjbkh3XEQuBJYBL4mV79oMPC8ilwFtQEvc6c32sTbgmqTjT8z4oJOYDKxrdpaiKAoUgDvLGLPDGNNgjFlqjFmK5Zq62BhzEngQeLudpbUZGDDGdAAPAzeKSLWIVGNZMQ/P9ljdwHqcJWKM0ewsRVHmLQWTnZWBh4BbgVZgFHgHgDGmV0Q+BWyxz/snY0zvbA/G2WM9PsXXuamWiKIo85GCExHbGnFuG+B9Gc67H7j/DA0LmBSK+C6+zn7rmp2lKMp8RH0weZBuj3XHKlFLRFGU+YiKSB64vbPi3FnObbVEFEWZj6iI5IGI4PNIwh7r0ahaIoqizF9URPLE65GEwLpriXj1o1QUZf6hM1+e+L2ehBRfjYkoijKfURHJE59X3IwsyFXOMgAADa9JREFU0OwsRVHmNyoieeLzSEJgXS0RRVHmMyoieeLzeBIC65qdpSjKfEZFJE+8SZZIzLVE9KNUFGX+oTNfnvi9klBsqJaIoijzGRWRPPF5PQmBdY2JKIoyn1ERyROr2DBdnYiKiKIo8w8VkTyxUnzjs7Msq0QtEUVR5iMqInni9XgSe2fZVolXVEQURZl/qIjkiT+5d5YG1hVFmceoiORJsjvLue3TmIiiKPMQFZE8SS42nLRE9KNUFGX+oTNfnmS0RNSdpSjKPERFJE+SU3yj2oBRUZR5jIpInvg8nqQuvmqJKIoyf1ERyZPUOhHNzlIUZf6iIpInKRXrUW3AqCjK/KVgZj4R+SsR2Ssiu0TkX+OO3yMirSKyT0Ruijt+s32sVUQ+dqbG6fNmyM7SFF9FUeYhvrkeAICIXAvcDqw3xkyISIN9fC1wJ3ABsAh4VERW23/2VeCVwAlgi4g8aIzZPdtjTd6USmMiiqLMZwpCRIC/BP7FGDMBYIzptI/fDnzfPn5YRFqBy+zHWo0xhwBE5Pv2ubMvIhl6Z2lMRFGU+UihuLNWA68QkWdF5Pcicql9vAk4HnfeCftYpuMpiMjdIrJVRLZ2dXWd9kAz7WyoloiiKPORM2aJiMijwII0D33cHkcNsBm4FHhARJbPxOsaY+4F7gXYtGmTmeL0Kcm0x7paIoqizEfOmIgYY27I9JiI/CXwE2OMAZ4TkRhQB7QBLXGnNtvHyHJ8VrEC6+liIoVi1CmKopw5CmXm+xlwLYAdOA8A3cCDwJ0iUiQiy4BVwHPAFmCViCwTkQBW8P3BMzFQyxLRLr6KoihQOIH1+4H7RWQnEALusq2SXSLyAFbAPAK8zxgTBRCR9wMPA17gfmPMrjMxUJ9XiBmIxQyeuJoRjYkoijIfKQgRMcaEgLdmeOzTwKfTHH8IeGiWh5aC32sZb5GYIeARorEYIuBREVEUZR5SKO6sswbHbeW4tCIxo1aIoijzFhWRPHEEI2y7saIxo/EQRVHmLSoieeKIiBNQtywR/RgVRZmf6OyXJz4nJmIXHKoloijKfEZFJE/8Xicm4lgiMY2JKIoyb1ERyRNnL/WIxkQURVFURPLFsUTCTnZWVLOzFEWZv6iI5Ik3KbAejRndS0RRlHmLikieOJlY4Wh8nYh+jIqizE909ssTx52VYImoO0tRlHmKikieeJOKDTU7S1GU+YyKSJ74tU5EURTFRUUkT5ID69o7S1GU+YyKSJ5MpvhqTERRFEVFJE+cTKxoQp2IfoyKosxPdPbLk+TAuloiiqLMZ1RE8mQysB6XnaXFhoqizFNURPIkeVMqtUQURZnPqIjkidvFN6rZWYqiKCoieeLsJ6IV64qiKCoieeNujxvT3lmKoigFMfuJyAYReUZEXhSRrSJymX1cROQrItIqIttF5OK4v7lLRA7Y/+46U2N1RET3E1EURQHfXA/A5l+BfzTG/FpEbrXvXwPcAqyy/10OfB24XERqgH8ANgEG2CYiDxpj+mZ7oI7VoTsbKoqiFIglgiUEFfbtSqDdvn078B1j8QxQJSILgZuA3xpjem3h+C1w85kYqM8NrNvZWVG1RBRFmb8UiiXyQeBhEfkclrC9zD7eBByPO++EfSzT8RRE5G7gboDFixef9kB9KXusG60TURRl3nLGREREHgUWpHno48D1wIeMMT8WkTcA9wE3zMTrGmPuBe4F2LRpkznd5/N7PAR8Hu598hBjoSjj4ahaIoqizFvOmIgYYzKKgoh8B/iAffeHwDft221AS9ypzfaxNqyYSfzxJ2ZoqFnxeIQfvvsKvvZEK199ohVjwCsqIoqizE8KJSbSDlxt374OOGDffhB4u52ltRkYMMZ0AA8DN4pItYhUAzfax84I61uq+MbbNvHYX1/Ne65ewWsvbj5TL60oilJQFEpM5F3Al0XEB4xjxzCAh4BbgVZgFHgHgDGmV0Q+BWyxz/snY0zvmR0yLK8P8rFbzjvTL6soilIwFISIGGOeBi5Jc9wA78vwN/cD98/y0BRFUZQsFIo7S1EURTkLURFRFEVRpo2KiKIoijJtVEQURVGUaaMioiiKokwbFRFFURRl2qiIKIqiKNNGrFKM+YGIdAFHT+Mp6oDuGRrO2cJ8fM8wP9/3fHzPMD/fd77veYkxpj7dA/NKRE4XEdlqjNk01+M4k8zH9wzz833Px/cM8/N9z+R7VneWoiiKMm1URBRFUZRpoyKSH/fO9QDmgPn4nmF+vu/5+J5hfr7vGXvPGhNRFEVRpo1aIoqiKMq0URFRFEVRpo2KSA6IyM0isk9EWkXkY3M9ntlCRFpE5HER2S0iu0TkA/bxGhH5rYgcsP+vnuuxzjQi4hWRF0Tkl/b9ZSLyrH3NfyAigbke40wjIlUi8iMR2Ssie0TkinP9WovIh+zv9k4R+Z6IFJ+L11pE7heRThHZGXcs7bW1d479iv3+t4vIxfm8lorIFIiIF/gqcAuwFniTiKyd21HNGhHgw8aYtcBm4H32e/0Y8JgxZhXwmH3/XOMDwJ64+58BvmiMWQn0Ae+ck1HNLl8GfmOMOQ9Yj/X+z9lrLSJNwP8LbDLGrAO8wJ2cm9f6W8DNSccyXdtbgFX2v7uBr+fzQioiU3MZ0GqMOWSMCQHfB26f4zHNCsaYDmPM8/btIaxJpQnr/X7bPu3bwB1zM8LZQUSagVcB37TvC3Ad8CP7lHPxPVcCVwH3ARhjQsaYfs7xa421m2uJvRV3KdDBOXitjTFPAslbhme6trcD3zEWzwBVIrIw19dSEZmaJuB43P0T9rFzGhFZCmwEngUajTEd9kMngcY5GtZs8SXgo0DMvl8L9BtjIvb9c/GaLwO6gP+03XjfFJEyzuFrbYxpAz4HHMMSjwFgG+f+tXbIdG1Pa45TEVFSEJEg8GPgg8aYwfjH7H3vz5m8cBF5NdBpjNk212M5w/iAi4GvG2M2AiMkua7OwWtdjbXqXgYsAspIdfnMC2by2qqITE0b0BJ3v9k+dk4iIn4sAfmuMeYn9uFTjnlr/985V+ObBV4O3CYiR7BclddhxQqqbJcHnJvX/ARwwhjzrH3/R1iici5f6xuAw8aYLmNMGPgJ1vU/16+1Q6Zre1pznIrI1GwBVtkZHAGsQNyDczymWcGOBdwH7DHGfCHuoQeBu+zbdwE/P9Njmy2MMfcYY5qNMUuxru3vjDFvAR4HXmefdk69ZwBjzEnguIissQ9dD+zmHL7WWG6szSJSan/Xnfd8Tl/rODJd2weBt9tZWpuBgTi315RoxXoOiMitWH5zL3C/MebTczykWUFErgSeAnYwGR/4O6y4yAPAYqxW+m8wxiQH7c56ROQa4CPGmFeLyHIsy6QGeAF4qzFmYi7HN9OIyAasZIIAcAh4B9bC8py91iLyj8AbsTIRXwD+Asv/f05daxH5HnANVsv3U8A/AD8jzbW1BfXfsVx7o8A7jDFbc34tFRFFURRluqg7S1EURZk2KiKKoijKtFERURRFUaaNioiiKIoybVREFEVRlGmjIqLMG0TEiMjn4+5/REQ+OUPP/S0Red3UZ57267ze7rj7eNLxpSLy5tl+fUVJRkVEmU9MAK8Vkbq5Hkg8cdXSufBO4F3GmGuTji8F8hYRu0u1okwbFRFlPhHB2lv6Q8kPJFsSIjJs/3+NiPxeRH4uIodE5F9E5C0i8pyI7BCRFXFPc4OIbBWR/XZPLmefks+KyBZ7r4Z3xz3vUyLyIFbVdPJ43mQ//04R+Yx97H8DVwL3ichnk/7kX4BXiMiL9p4Z/0tE/j3u+X5pF1MiIsMi8nkReQm4wr7/aRF5SUSeEZFG+7zX26//kog8me+HrcwPVESU+cZXgbfYrdBzZT3wHuB84G3AamPMZVjV3n8Vd95SrK0DXgX8XxEpxrIcBowxlwKXAu8SkWX2+RcDHzDGrI5/MRFZhLXHxXXABuBSEbnD/P/t3T1oFFEUxfH/DQhC0Ca2KVQUuyyItZ126SzEOhBBSyGFpLAV0V6LINikExRUEPwEk5jgRyEikmBjYSlC1GyOxbtrxigZ89TC7PlV84ad2feK5fJmlnOlc8BT4ISkM+vmOAE8lNSRdLFlPYPAjKQRSY9y/ETSCPAAGMvPTQJH8/xoyz2tT7mIWF/JVOKrlOZEv2sue618Bt4Cd/L8S0rh6JmWtCrpDSVG5ABwhJJL9IwSHzNEaf4DMCtp8Rffdwi4l0GBK8A1Su+Pv6VLCdns+QLcyON51tb0GJiKiDFK5I/ZT1xErB9douwQBhvnVsjfQ0QMUPKkepo5SquN8SolUr1nfYaQgABO5w6hI2m3pF4R+vRHq9jY9/Wk7Y3jZUndxvir1vKPuuSaJI0DZykJr/MRMfQP52v/KRcR6zsZKDjNj21Ql4CDeTwKbKu49bGIGMj3JHuA18Bt4GRG7BMR+7P500ZmgcMRsStffB8H7rdc8xHY0RgvAZ2czzDlMdumRMReSTOSJikNrIbbrrH+s5l/hZhtJReAU43xZeB6vmy+Rd0u4R2lAOwExiUtR8QVyuOhhUxL/UBL+1VJ7yNighJRHsBNSW3x5C+Abs5/irLbWqS8tH8FLFSs53xE7Ms53AWeV9zDtjin+JqZWTU/zjIzs2ouImZmVs1FxMzMqrmImJlZNRcRMzOr5iJiZmbVXETMzKzaN5ymckEXpU2kAAAAAElFTkSuQmCC\n"
+          },
+          "metadata": {
+            "needs_background": "light"
+          }
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = plot_bunchdata(\"fir.hdf5\",0,\"cs_invariant\",\"x\")"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 290
+        },
+        "outputId": "3734754a-18bf-41e3-891c-bf73569416d0",
+        "id": "i63oC-q1xaf_"
+      },
+      "execution_count": 106,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {
+            "needs_background": "light"
+          }
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "g = hp.File(\"fir.hdf5\",\"r\")\n",
+        "xdata = np.array(g[\"BunchData_0\"][\"time\"])*ring.T0\n",
+        "ydata = np.array(g[\"BunchData_0\"][\"cs_invariant\"][0,:])\n",
+        "g.close()"
+      ],
+      "metadata": {
+        "id": "5XmgoO6Exaf_"
+      },
+      "execution_count": 107,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "def func(x, a, b):\n",
+        "    return a * np.exp(-b * x)"
+      ],
+      "metadata": {
+        "id": "9P7f5xuixagA"
+      },
+      "execution_count": 108,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "popt, pcov = curve_fit(func, xdata, ydata)\n",
+        "print(f\"Fitted damping time is {1/popt[1]/ring.T0*2} turns.\")\n",
+        "plt.plot(xdata, ydata)\n",
+        "plt.plot(xdata, func(xdata, *popt),\"--\")"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 324
+        },
+        "outputId": "96c9dd48-38e9-4ba5-bc6b-32cde34b8fce",
+        "id": "2CxlX0mSxagA"
+      },
+      "execution_count": 109,
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "Fitted damping time is 7.119675249743109 turns.\n"
+          ]
+        },
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "[<matplotlib.lines.Line2D at 0x7fb71e028370>]"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 109
+        },
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 432x288 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {
+            "needs_background": "light"
+          }
+        }
+      ]
+    }
+  ]
+}
\ No newline at end of file
diff --git a/examples/mbtrack2_cavity_resonator.ipynb b/examples/mbtrack2_cavity_resonator.ipynb
index e0521689ed137de556d704d52f474aa1eaaa487e..14d1de822d37fb2422c3438d62ee1c56b30323ed 100644
--- a/examples/mbtrack2_cavity_resonator.ipynb
+++ b/examples/mbtrack2_cavity_resonator.ipynb
@@ -6,7 +6,9 @@
       "name": "mbtrack2_cavity_resonator.ipynb",
       "provenance": [],
       "collapsed_sections": [],
-      "toc_visible": true
+      "toc_visible": true,
+      "authorship_tag": "ABX9TyMA6RhztmCNyfjelkdIdMGB",
+      "include_colab_link": true
     },
     "kernelspec": {
       "name": "python3",
@@ -17,6 +19,16 @@
     }
   },
   "cells": [
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "view-in-github",
+        "colab_type": "text"
+      },
+      "source": [
+        "<a href=\"https://colab.research.google.com/github/GamelinAl/mbtrack2_examples/blob/main/mbtrack2_cavity_resonator.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
+      ]
+    },
     {
       "cell_type": "markdown",
       "source": [
@@ -82,7 +94,7 @@
           "base_uri": "https://localhost:8080/"
         },
         "id": "BKGTZA_EvtF6",
-        "outputId": "46212648-9f92-4a45-a4c0-5c14fdaa74f8"
+        "outputId": "a5cb0407-90eb-4c0a-d828-1567955db123"
       },
       "outputs": [
         {
@@ -90,12 +102,12 @@
           "name": "stdout",
           "text": [
             "Cloning into 'mbtrack2'...\n",
-            "remote: Enumerating objects: 1249, done.\u001b[K\n",
-            "remote: Counting objects: 100% (224/224), done.\u001b[K\n",
-            "remote: Compressing objects: 100% (110/110), done.\u001b[K\n",
-            "remote: Total 1249 (delta 127), reused 205 (delta 111), pack-reused 1025\u001b[K\n",
-            "Receiving objects: 100% (1249/1249), 502.01 KiB | 1.45 MiB/s, done.\n",
-            "Resolving deltas: 100% (831/831), done.\n"
+            "remote: Enumerating objects: 1220, done.\u001b[K\n",
+            "remote: Counting objects: 100% (195/195), done.\u001b[K\n",
+            "remote: Compressing objects: 100% (122/122), done.\u001b[K\n",
+            "remote: Total 1220 (delta 103), reused 144 (delta 70), pack-reused 1025\u001b[K\n",
+            "Receiving objects: 100% (1220/1220), 504.23 KiB | 490.00 KiB/s, done.\n",
+            "Resolving deltas: 100% (807/807), done.\n"
           ]
         }
       ],
@@ -113,7 +125,7 @@
           "base_uri": "https://localhost:8080/"
         },
         "id": "aIwNdoXlVDus",
-        "outputId": "6b55f033-48b0-42d0-cf23-f50534902dac"
+        "outputId": "3ef6b058-44ba-4be8-a254-3b24c6a3251a"
       },
       "execution_count": 2,
       "outputs": [
@@ -235,7 +247,7 @@
           "height": 296
         },
         "id": "T2Gu7M1XTzSc",
-        "outputId": "7c4fc5aa-96d0-49b9-e344-89aacfed91a7"
+        "outputId": "4e2af484-26fe-4d32-a931-334a4a531b0a"
       },
       "execution_count": 8,
       "outputs": [
@@ -326,7 +338,7 @@
           "base_uri": "https://localhost:8080/"
         },
         "id": "NnUmubbnUyGJ",
-        "outputId": "7e3c2a8b-9f31-42b1-8152-83ce6694ffa3"
+        "outputId": "9b415b2b-6a05-4149-9bab-fee02ce6e9f6"
       },
       "execution_count": 11,
       "outputs": [
@@ -334,8 +346,10 @@
           "output_type": "stream",
           "name": "stdout",
           "text": [
-            "[-0.00232786  0.0010207   0.00039116 -0.00193677 -0.0007547 ]\n",
-            "[-0.00219293  0.00115227  0.00052083 -0.00180337 -0.00061871]\n"
+            "[ 1.20522562e-03  1.76311136e-03  6.51753700e-04  1.52165331e-04\n",
+            " -3.35149950e-05]\n",
+            "[1.33647336e-03 1.89757505e-03 7.84044458e-04 2.84614540e-04\n",
+            " 9.77255040e-05]\n"
           ]
         }
       ]
@@ -419,7 +433,7 @@
           "base_uri": "https://localhost:8080/"
         },
         "id": "f_XRdEeutedr",
-        "outputId": "c79a074d-52a9-4a7e-c2ba-307ac5a21ed5"
+        "outputId": "5adf576e-b436-4a6f-9c0a-515e707e6815"
       },
       "execution_count": 14,
       "outputs": [
@@ -497,7 +511,7 @@
           "base_uri": "https://localhost:8080/"
         },
         "id": "jqbtSTJ6s4Ge",
-        "outputId": "e259484a-caff-4886-ee6b-81e933a8640d"
+        "outputId": "95c5c6d8-9194-4ffc-9151-97107e089113"
       },
       "execution_count": 16,
       "outputs": [
@@ -535,7 +549,7 @@
           "height": 286
         },
         "id": "Ypdhc4McFwXa",
-        "outputId": "26f1bfa3-5154-4804-b3c4-31acfaa73f6c"
+        "outputId": "05cd2445-2428-439b-fa3a-64612124c677"
       },
       "execution_count": 17,
       "outputs": [
@@ -574,7 +588,7 @@
           "base_uri": "https://localhost:8080/"
         },
         "id": "ZQNoawSrIDyA",
-        "outputId": "4b350628-d3fa-451c-d301-c8c361e88fa0"
+        "outputId": "d535a366-53f3-46c6-9d06-8e4095734db2"
       },
       "execution_count": 18,
       "outputs": [
@@ -614,7 +628,7 @@
           "base_uri": "https://localhost:8080/"
         },
         "id": "VCeGDP9eJOWT",
-        "outputId": "66cbc458-12b6-4d1d-ec61-dbfdd60755ce"
+        "outputId": "504ab39d-b7d0-47ff-c0e1-7d27be94fbf3"
       },
       "execution_count": 19,
       "outputs": [
@@ -647,7 +661,7 @@
           "base_uri": "https://localhost:8080/"
         },
         "id": "PdZ8GmWxLrVi",
-        "outputId": "c8e888b8-7fc1-4d46-d2c2-2c6320304637"
+        "outputId": "a87fa8d7-b355-4a8a-b999-58c8e041825e"
       },
       "execution_count": 20,
       "outputs": [
@@ -678,7 +692,7 @@
           "height": 330
         },
         "id": "yOhFgjdFLrSi",
-        "outputId": "4da2cd69-7f10-4a20-d8f4-5bac3587561a"
+        "outputId": "e74cf61b-6878-4497-f11a-af89fbb7056e"
       },
       "execution_count": 21,
       "outputs": [
@@ -693,7 +707,7 @@
           "output_type": "execute_result",
           "data": {
             "text/plain": [
-              "<matplotlib.legend.Legend at 0x7f58a66e6ad0>"
+              "<matplotlib.legend.Legend at 0x7f34796706d0>"
             ]
           },
           "metadata": {},
@@ -769,7 +783,7 @@
           "base_uri": "https://localhost:8080/"
         },
         "id": "BwnJdmllhV1h",
-        "outputId": "d58b9919-69d2-471c-d492-1d688e09ab25"
+        "outputId": "ab1cf8a5-ab7f-456a-d270-8ef271eb9d31"
       },
       "execution_count": 22,
       "outputs": [
@@ -810,7 +824,7 @@
           "base_uri": "https://localhost:8080/"
         },
         "id": "PLyRKsWxhiWP",
-        "outputId": "b10820b4-27ec-443c-ae3c-43a44875edcc"
+        "outputId": "29a66409-ded8-46b6-ee83-d648d6413f74"
       },
       "execution_count": 23,
       "outputs": [
@@ -818,10 +832,10 @@
           "output_type": "stream",
           "name": "stdout",
           "text": [
-            "[-283882.59602631+933000.63002653j]\n",
-            "[201831.68968781+979657.57750836j]\n",
-            "[1000232.47304403]\n",
-            "[1.36761648]\n"
+            "[-283882.30559414+933000.62947621j]\n",
+            "[201831.98011998+979657.57695804j]\n",
+            "[1000232.53110987]\n",
+            "[1.3676162]\n"
           ]
         }
       ]
@@ -846,7 +860,7 @@
           "base_uri": "https://localhost:8080/"
         },
         "id": "Y4IpK8W4mnPz",
-        "outputId": "104d4b05-54d7-43c0-8b8a-ddea1b72efea"
+        "outputId": "f384d39b-23d9-435b-8608-af2c941979eb"
       },
       "execution_count": 24,
       "outputs": [
@@ -883,7 +897,7 @@
         "colab": {
           "base_uri": "https://localhost:8080/"
         },
-        "outputId": "82c7a558-573a-4d5e-e187-1ebab616f834"
+        "outputId": "46228a19-6dbb-49c6-e00b-441872887bed"
       },
       "execution_count": 25,
       "outputs": [
@@ -891,10 +905,11 @@
           "output_type": "stream",
           "name": "stdout",
           "text": [
-            "[-0.00219293  0.00115227  0.00052083 -0.00180337 -0.00061871]\n",
-            "[-283882.59602631+933000.63002653j]\n",
-            "[-0.00205699  0.00128446  0.00065101 -0.00166916 -0.00048177]\n",
-            "[-283882.71212199+932993.63076803j]\n"
+            "[1.33647336e-03 1.89757505e-03 7.84044458e-04 2.84614540e-04\n",
+            " 9.77255040e-05]\n",
+            "[-283882.30559414+933000.62947621j]\n",
+            "[0.00146846 0.00203297 0.00091688 0.00041788 0.00022971]\n",
+            "[-283882.44260185+932992.51793543j]\n"
           ]
         }
       ]
@@ -920,7 +935,7 @@
           "base_uri": "https://localhost:8080/"
         },
         "id": "FDPJPsHHWY94",
-        "outputId": "d1633eaf-7223-4941-9a75-bd76d120d15f"
+        "outputId": "f8b73377-d567-45e2-bd5b-afb1001d48bf"
       },
       "execution_count": 26,
       "outputs": [
@@ -928,16 +943,16 @@
           "output_type": "execute_result",
           "data": {
             "text/plain": [
-              "array([200037.02401695+979657.34988496j, 200036.53611279+979655.45608534j,\n",
-              "       200036.04712366+979653.28391847j, 200035.5523303 +979651.2983488j ,\n",
-              "       200035.05262454+979649.44196298j, 198239.88409674+979646.89121197j,\n",
-              "       196445.68625732+979648.32586931j, 196447.11998679+979652.54663041j,\n",
-              "       196448.5611901 +979657.27992109j, 196450.01073998+979661.54239132j,\n",
-              "       198246.12991393+979666.34736958j, 200041.28797294+979667.99265838j,\n",
-              "       200040.81466583+979665.63314484j, 200040.3380717 +979664.17294936j,\n",
-              "       200039.8590515 +979661.85309936j, 200039.37691663+979659.53672756j,\n",
-              "       200038.88956584+979657.64069376j, 200038.3996667 +979655.0885858j ,\n",
-              "       200037.9050291 +979653.69751251j, 200037.40756945+979652.07384169j])"
+              "array([200037.31667075+979657.16226983j, 200036.82879942+979655.55794461j,\n",
+              "       200036.336377  +979653.53253812j, 200035.84121557+979651.68011003j,\n",
+              "       200035.34535906+979649.2747904j , 198240.18216087+979646.12905325j,\n",
+              "       196445.98065904+979646.95514253j, 196447.41531759+979651.11397033j,\n",
+              "       196448.85113139+979655.04202474j, 196450.29357427+979659.76965315j,\n",
+              "       198246.40947954+979664.5750912j , 200041.56427246+979666.22084529j,\n",
+              "       200041.08955522+979664.68071169j, 200040.61093979+979663.13237267j,\n",
+              "       200040.12864363+979661.45252075j, 200039.64530716+979659.65332078j,\n",
+              "       200039.16037969+979657.00292416j, 200038.67084469+979654.86888765j,\n",
+              "       200038.17663805+979652.69546606j, 200037.6791925 +979650.96088574j])"
             ]
           },
           "metadata": {},
@@ -1001,7 +1016,7 @@
           "base_uri": "https://localhost:8080/"
         },
         "id": "-nWBy0b42FpF",
-        "outputId": "7abe3b54-ab96-46ce-f9f0-114f479d9daa"
+        "outputId": "e260bb1e-e4c1-424f-9c0d-0fad37e88870"
       },
       "execution_count": 28,
       "outputs": [
@@ -1222,7 +1237,7 @@
           "height": 290
         },
         "id": "wL7jVkvMLVzL",
-        "outputId": "8e3b303f-c7ea-49dc-bbb3-2f307f36a5a5"
+        "outputId": "223443cc-5c04-4d47-d130-98f37fd006e0"
       },
       "execution_count": 33,
       "outputs": [
@@ -1232,7 +1247,7 @@
             "text/plain": [
               "<Figure size 432x288 with 2 Axes>"
             ],
-            "image/png": 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\n"
+            "image/png": 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\n"
           },
           "metadata": {
             "needs_background": "light"
@@ -1251,7 +1266,7 @@
           "height": 290
         },
         "id": "fRGflKdSLuvk",
-        "outputId": "1d1f3904-3a44-4b7c-b4f6-93f923455c6e"
+        "outputId": "4a84314d-9e68-410f-db37-a7d4abe975d2"
       },
       "execution_count": 34,
       "outputs": [
@@ -1261,7 +1276,7 @@
             "text/plain": [
               "<Figure size 432x288 with 2 Axes>"
             ],
-            "image/png": 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\n"
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\n"
           },
           "metadata": {
             "needs_background": "light"
@@ -1279,7 +1294,7 @@
           "base_uri": "https://localhost:8080/",
           "height": 290
         },
-        "outputId": "407827b0-6370-446a-8b55-7454c842ade5",
+        "outputId": "d23261ac-a806-4291-fcc1-93757651ffe3",
         "id": "srURo9xxMqqy"
       },
       "execution_count": 35,
@@ -1290,7 +1305,7 @@
             "text/plain": [
               "<Figure size 432x288 with 2 Axes>"
             ],
-            "image/png": 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\n"
+            "image/png": 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\n"
           },
           "metadata": {
             "needs_background": "light"
@@ -1308,7 +1323,7 @@
           "base_uri": "https://localhost:8080/",
           "height": 279
         },
-        "outputId": "43daec2f-4b6c-4ce6-ee3f-cbde41532d40",
+        "outputId": "c77f7fb3-4df5-4e60-ce87-922c1264b187",
         "id": "vI20crgCMTkj"
       },
       "execution_count": 36,
@@ -1414,7 +1429,7 @@
           "base_uri": "https://localhost:8080/",
           "height": 573
         },
-        "outputId": "2bfd5bd8-abd4-4bfa-b229-75d065735279"
+        "outputId": "1e9b1986-8b77-4f95-fa3c-b54116600f5b"
       },
       "execution_count": 39,
       "outputs": [
@@ -1443,7 +1458,7 @@
           "output_type": "execute_result",
           "data": {
             "text/plain": [
-              "<matplotlib.legend.Legend at 0x7f58a1f1c510>"
+              "<matplotlib.legend.Legend at 0x7f3474ebd250>"
             ]
           },
           "metadata": {},
@@ -1506,10 +1521,10 @@
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/",
-          "height": 712
+          "height": 711
         },
         "id": "xvg8zezzV4f_",
-        "outputId": "55589a59-d678-4531-8a1d-a8adc5520801"
+        "outputId": "9a694641-838c-41a4-a580-cca5325c7ded"
       },
       "execution_count": 40,
       "outputs": [
@@ -1546,7 +1561,7 @@
           "output_type": "execute_result",
           "data": {
             "text/plain": [
-              "[<matplotlib.lines.Line2D at 0x7f58a1e95e90>]"
+              "[<matplotlib.lines.Line2D at 0x7f3472553550>]"
             ]
           },
           "metadata": {},
@@ -1558,7 +1573,7 @@
             "text/plain": [
               "<Figure size 432x288 with 1 Axes>"
             ],
-            "image/png": 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\n"
+            "image/png": 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\n"
           },
           "metadata": {
             "needs_background": "light"
diff --git a/examples/mbtrack2_collective_effects.ipynb b/examples/mbtrack2_collective_effects.ipynb
new file mode 100644
index 0000000000000000000000000000000000000000..2d96ad02b38d7e0ba7b69b6e195f6aa0b339e7da
--- /dev/null
+++ b/examples/mbtrack2_collective_effects.ipynb
@@ -0,0 +1,2452 @@
+{
+  "cells": [
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "view-in-github",
+        "colab_type": "text"
+      },
+      "source": [
+        "<a href=\"https://colab.research.google.com/github/GamelinAl/mbtrack2_examples/blob/main/mbtrack2_collective_effects.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "IKih_9pcq9Ui"
+      },
+      "source": [
+        "# Introduction\n",
+        "\n",
+        "This notebook introduces how set-up a tracking simulation including single bunch and multi-bunch collective effects in **mbtrack2**.\n",
+        "\n",
+        "The following classes are used to prepare a simulation with collective effects or more generally to make computations with impedance and wake functions:\n",
+        "\n",
+        "* The `Impedance` class is used to store impedance data.\n",
+        "\n",
+        "* The `WakeFunction` class is used to store wake function data.\n",
+        "\n",
+        "* The `WakeField` class is used to represent a single physical element which \n",
+        "  produces different types of wakes, represented by `Impedance` or \n",
+        "  `WakeFunction` objects.\n",
+        "\n",
+        "* The `ImpedanceModel` class is used to sum different `WakeField` elements taking into account betatron function weighting.\n",
+        "\n",
+        "These other classes are used in tracking to deal with single bunch and multi-bunch collective effects:\n",
+        "\n",
+        "* The `WakePotential` class deals with the single bunch effects, it can be used in tracking to model:\n",
+        "  * Longituinal (monopole) wake potential\n",
+        "  * Transverse dipole wake potential\n",
+        "  * Transverse quadrupolar wake potential\n",
+        "\n",
+        "* The `WakePotentialMonitor` class is used to monitor `WakePotential` objects and save its differents attributes (wake potentials, bunch profile, dipole moments, ...) during tracking.\n",
+        "\n",
+        "* The `LongRangeResistiveWall` class is used to deal with multi-bunch and multi-turn (longitudinal and tranverse) wakes from resistive wall using the algorithm defined in [1].\n",
+        "\n",
+        "## References\n",
+        "[1] Skripka, Galina, et al. \"Simultaneous computation of intrabunch and interbunch collective beam motions in storage rings.\" NIM.A (2016).\n",
+        "\n",
+        "[2] Zotter, Bruno W., and Semyon A. Kheifets. Impedances and wakes in high-energy particle accelerators. World Scientific, 1998.\n",
+        "\n",
+        "[3] Gamelin, Alexis. \"Collective effects in a transient micro-bunching regime and ion cloud mitigation in ThomX.\" (2018)."
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "MvPLW4R_Td8L"
+      },
+      "source": [
+        "# Initialization"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "aBs5vypAWwt3"
+      },
+      "source": [
+        "## mbtrack2 set-up"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 1,
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "fYzgLCmGWwt3",
+        "outputId": "b91ab106-3dd4-450c-b1f5-d8a1caa90980"
+      },
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "Cloning into 'mbtrack2'...\n",
+            "remote: Enumerating objects: 1612, done.\u001b[K\n",
+            "remote: Counting objects: 100% (272/272), done.\u001b[K\n",
+            "remote: Compressing objects: 100% (149/149), done.\u001b[K\n",
+            "remote: Total 1612 (delta 161), reused 204 (delta 123), pack-reused 1340\u001b[K\n",
+            "Receiving objects: 100% (1612/1612), 876.67 KiB | 2.46 MiB/s, done.\n",
+            "Resolving deltas: 100% (1090/1090), done.\n"
+          ]
+        }
+      ],
+      "source": [
+        "! git clone https://gitlab.synchrotron-soleil.fr/PA/collective-effects/mbtrack2.git"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 2,
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "7vnP10wPWwt4",
+        "outputId": "6c5131d0-ae6c-48a0-ff07-5252a1765f65"
+      },
+      "outputs": [
+        {
+          "output_type": "stream",
+          "name": "stdout",
+          "text": [
+            "/content/mbtrack2\n"
+          ]
+        }
+      ],
+      "source": [
+        "%cd mbtrack2"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "x1Ay2YXbWwt4"
+      },
+      "source": [
+        "## Define a Synchrotron object"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 3,
+      "metadata": {
+        "id": "buz5EKXvWwt4"
+      },
+      "outputs": [],
+      "source": [
+        "import numpy as np\n",
+        "from mbtrack2 import Synchrotron, Electron, Optics"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 4,
+      "metadata": {
+        "id": "GNUGFuD4Wwt4"
+      },
+      "outputs": [],
+      "source": [
+        "h = 20 # Harmonic number of the accelerator.\n",
+        "L = 100 # Ring circumference in [m].\n",
+        "E0 = 1.5e9 # Nominal (total) energy of the ring in [eV].\n",
+        "particle = Electron() # Particle considered.\n",
+        "ac = 1e-3 # Momentum compaction factor.\n",
+        "U0 = 200e3 # Energy loss per turn in [eV].\n",
+        "tau = np.array([1e-3, 1e-3, 2e-3]) # Horizontal, vertical and longitudinal damping times in [s].\n",
+        "tune = np.array([12.2, 15.3]) # Horizontal and vertical tunes.\n",
+        "emit = np.array([10e-9, 10e-12]) # Horizontal and vertical equilibrium emittance in [m.rad].\n",
+        "sigma_0 = 15e-12 # Natural bunch length in [s].\n",
+        "sigma_delta = 1e-3 # Equilibrium energy spread.\n",
+        "chro = [2.0, 3.0] # Horizontal and vertical (non-normalized) chromaticities."
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 5,
+      "metadata": {
+        "id": "p-PYZXYzWwt4"
+      },
+      "outputs": [],
+      "source": [
+        "local_beta = np.array([3, 2]) # Beta function at the tracking location.\n",
+        "local_alpha = np.array([0, 0]) # Alpha function at the tracking location.\n",
+        "local_dispersion = np.array([0, 0, 0, 0]) # Dispersion function and its derivative at the tracking location.\n",
+        "optics = Optics(local_beta=local_beta, local_alpha=local_alpha, \n",
+        "                  local_dispersion=local_dispersion)"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 6,
+      "metadata": {
+        "id": "xaMGL5q6Wwt5"
+      },
+      "outputs": [],
+      "source": [
+        "ring = Synchrotron(h=h, optics=optics, particle=particle, L=L, E0=E0, ac=ac, \n",
+        "                   U0=U0, tau=tau, emit=emit, tune=tune, \n",
+        "                   sigma_delta=sigma_delta, sigma_0=sigma_0, chro=chro)"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "xETy3HQMTql_"
+      },
+      "source": [
+        "## Define Bunch and Beam objects"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 7,
+      "metadata": {
+        "id": "Vcy-pUOYTwp4"
+      },
+      "outputs": [],
+      "source": [
+        "from mbtrack2 import Beam, Bunch"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "mybunch = Bunch(ring,  mp_number=1e5, current=1e-3)\n",
+        "mybunch.init_gaussian()"
+      ],
+      "metadata": {
+        "id": "jG7qZK1yG0ME"
+      },
+      "execution_count": 8,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 9,
+      "metadata": {
+        "id": "T2Gu7M1XTzSc"
+      },
+      "outputs": [],
+      "source": [
+        "filling_pattern = np.ones(ring.h)*0.025\n",
+        "mybeam = Beam(ring)\n",
+        "mybeam.init_beam(filling_pattern, mp_per_bunch=1e3)"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "FpSZu8CceHF_"
+      },
+      "source": [
+        "# Working with impedances"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "## Conventions\n",
+        "\n",
+        "The wake function and impedance conventions for **mbtrack2** follow the ones from the book \"Impedances and wakes in high-energy particle accelerators\" from Zotter and Kheifets [2].\n",
+        "\n",
+        "Also keep in mind that in mbtrack2, the head of the bunch is given for $\\tau < 0$ and thus the tail is for $\\tau > 0$.\n",
+        "\n",
+        "### Wake functions\n",
+        "\n",
+        "The longitudinal wake function $W_{\\parallel}$ is defined as:\n",
+        "$$W_{\\parallel} (z) = - \\frac{1}{q} \\int_{-\\infty}^{+\\infty} E_{\\parallel} (z) dz$$\n",
+        "\n",
+        "Using this convention, a positive wake function corresponds to energy loss.\n",
+        "\n",
+        "The transverse dipolar wake function $W_{\\perp}^{D}$ is defined as:\n",
+        "$$W_{\\perp}^{D} (z) = \\frac{1}{q \\xi} \\int_{-\\infty}^{+\\infty} [ E_{\\perp} (z) + v \\times B (z) ] dz$$\n",
+        "Where $\\xi$ is the transverse displacement of the source particle.\n",
+        "\n",
+        "So using this convention, for a positive $\\xi$, a positive transverse dipolar wake function corresponds to defocusing i.e. a positive angular kick felt by the test particle.\n",
+        "\n",
+        "### Impedances\n",
+        "\n",
+        "The longitudinal impedance $Z_{\\parallel}$ is defined as:\n",
+        "$$Z_{\\parallel} (\\omega) = \\frac{-v}{q} \\int_{-\\infty}^{+\\infty} E_{\\parallel} (z) e^{\\frac{j \\omega z}{v}} \\frac{dz}{v}$$\n",
+        "\n",
+        "The transverse dipolar impedance $Z_{\\perp}^{D}$ is defined as:\n",
+        "$$Z_{\\perp}^{D} (\\omega) = \\frac{-jv}{q\\xi} \\int_{-\\infty}^{+\\infty} [ E_{\\perp} (z) + v \\times B (z) ] e^{\\frac{j \\omega z}{v}} \\frac{dz}{v}$$\n",
+        "\n",
+        "### Relations between impedances and wake functions\n",
+        "\n",
+        "If $v=c$, impedances and wake functions are simply related thourgh Fourier transforms. For the longtudinal impedance and wake function:\n",
+        "\n",
+        "$$Z_{\\parallel} (\\omega) = \\int_{-\\infty}^{+\\infty} W_{\\parallel} (t) e^{-j \\omega t} dt$$\n",
+        "\n",
+        "$$W_{\\parallel} (t) = \\frac{1}{2 \\pi} \\int_{-\\infty}^{+\\infty} Z_{\\parallel} (\\omega) e^{j \\omega t} d\\omega$$\n",
+        "\n",
+        "For the transverse dipolar impedance and wake function:\n",
+        "\n",
+        "$$Z_{\\perp}^{D} (\\omega) = j \\int_{-\\infty}^{+\\infty} W_{\\perp}^{D} (t) e^{-j \\omega t} dt$$\n",
+        "\n",
+        "$$W_{\\perp}^{D} (t) = \\frac{j}{2 \\pi} \\int_{-\\infty}^{+\\infty} Z_{\\perp}^{D} (\\omega) e^{j \\omega t} d\\omega$$\n",
+        "\n",
+        "### Relations with other ressources\n",
+        "\n",
+        "How the **mbtrack2** convention relates with other popular ressources or codes:\n",
+        "* A. Chao \"Physics of Collective Beam Instabilities in High Energy Accelerators\" $⟶$ Complex conjugate for both longitudinal and transverse impedance.\n",
+        "* CST Studio $⟶$ Same convention (for positive wake_shift in wake integration info).\n",
+        "* ImpedanceWake2D $⟶$ Same convention."
+      ],
+      "metadata": {
+        "id": "VgJWRuJR7C9z"
+      }
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "JxMBAW36eWkA"
+      },
+      "source": [
+        "## Impedance and WakeFunction classes"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "4CbPBqWdebPm"
+      },
+      "source": [
+        "The `Impedance` class is used to store and make computation on impedance data while the `WakeFunction` one does the same for wakefunction data."
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 10,
+      "metadata": {
+        "id": "CPT-qNdSeGJZ"
+      },
+      "outputs": [],
+      "source": [
+        "from mbtrack2 import Impedance, WakeFunction"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "P-W9wG71eweo"
+      },
+      "source": [
+        "An `Impedance` object can be simply initialized by inputing the frequency points, impedance values and the impedance type:"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 11,
+      "metadata": {
+        "id": "g9CiOz-oempZ"
+      },
+      "outputs": [],
+      "source": [
+        "variable = np.linspace(0.1e9, 20e9, 1000) # frequency points in [Hz]\n",
+        "function = 100 + variable*(3e-9 + 5e-8j) # impedance values in [Ohm]\n",
+        "component_type = \"long\" # type of the impedance\n",
+        "imp = Impedance(variable, function, component_type)"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "ACcJsAcPnLBt"
+      },
+      "source": [
+        "The impedance data in then stored in a pandas `DataFrame` accessible using:"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 12,
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 455
+        },
+        "id": "LJ_muVRbpNz8",
+        "outputId": "7c7712ea-53ca-482d-f819-69bba27aa832"
+      },
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
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+              "\n",
+              "    [theme=dark] .colab-df-convert:hover {\n",
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+              "                                                     [key], {});\n",
+              "          if (!dataTable) return;\n",
+              "\n",
+              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
+              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
+              "            + ' to learn more about interactive tables.';\n",
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+              "  "
+            ]
+          },
+          "metadata": {},
+          "execution_count": 12
+        }
+      ],
+      "source": [
+        "imp.data"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "FIwsXgGQpjZ4"
+      },
+      "source": [
+        "The usual methods available on `DataFrame` are then usable, and a shorcut to plot the data is available:"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 13,
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 449
+        },
+        "id": "PTTi0R1If8lp",
+        "outputId": "24939496-6232-4966-8877-5a9d395360e1"
+      },
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 640x480 with 1 Axes>"
+            ],
+            "image/png": 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lJYZCUhHx8vIiICCAEydO4O3tjYeHpqQqLMMwSEtLIzExkdDQUEcAFRGRPBgGbJ8N3zwF2ecgKNw8elRDdzUoKIWkImKz2YiMjOTQoUMcPnzY6nJKhdDQUCIidIhYROSSMlLhmyfhl7lm+9o7zPOPgipbW1cJpZBUhHx8fKhVq5Zu7uoC3t7eOoIkInI58TvNySFP7gObB9zxAtw6EjSSUWgKSUXMw8NDs0OLiEjRMQzYMhOWPAfZ6VAuCnpMg2otra6sxFNIEhERKanSU2DxCHMGbYDr7jRnzw6sYGlZpYVCkoiISEl0/GdzcsjTv4HNE2JHQ8yjGl5zIYUkERGRksQwYNPHsPQ/kJMJIdHQYzpEN7e6slJHIUlERKSkOJcEXz8GuxeZ7es7Qdf3ICDM0rJKK4UkERGRkuDPLTC/PyQdBg9vuPMVuHko2GxWV1ZqKSSJiIi4M8OAn96H5aPAngWhVaHnTLimqdWVlXoKSSIiIu4q7TQsGg57vzHbdbvA3e+Cf6ilZZUVCkkiIiLu6Ogmc3LI5KPg6QPtX4ObBml4rRgpJImIiLgTux3i3oEVr4A9G8rXMIfXohpZXVmZo5AkIiLiLs6egi+Hwv6lZrv+vdDlbfALtrauMkohSURExB0cjoMFA+DMMfD0hY7joWk/Da9ZSCFJRETESnY7rJ8MK/8LRg5UqGUOr0XcYHVlZZ5CkoiIiFVST8AXQ+DgSrPd8H7oPAl8g6ytSwCFJBEREWscWgcLB0FqPHj5Q+eJ0Ki3htfciEKSiIhIcbLnwNo3YM14MOxQqY45vFa5rtWVyUUUkkRERIrLmQT4fBAcWmu2Gz0InSaAT6C1dUmeFJJERESKw8FV8PlgOHsCvAPhrklwYy+rq5LLUEgSEREpSjnZsHocrHsTMKByfXN4rVJtqyuTK1BIEhERKSopx8yTsw+vN9tN+0OHceDtb21dki8KSSIiIkVh//fm5f1pp8CnHHR5Cxr0sLoqKQCFJBEREVfKyYKVY2H9W2Y7oqE5vFahppVVSSEoJImIiLhK0lFYOBCObjDbNw2GdmPB28/auqRQFJJERERcYe935s1pz/0FviHQ9R2o19XqquQqKCSJiIhcjexMWDEG4t4121FNoMd0CKthbV1y1RSSRERECuuv32HBAPhzi9m++d8QOwa8fCwtS1zDw+oCCiMnJ4eXXnqJGjVq4O/vT82aNXn11VcxDMPRxzAMRo0aRWRkJP7+/sTGxrJ//36n7Zw+fZrevXsTHBxMaGgoAwcOJDU1tbh3R0RESqLdX8HU28yA5BcCveaYl/crIJUaJTIkjR8/nvfff593332XPXv2MH78eCZMmMA777zj6DNhwgSmTJnC1KlT2bBhA4GBgbRv35709HRHn969e7Nr1y6WL1/O4sWLWbt2LUOGDLFil0REpKTIzoBvn4Z5fSAjGarcBI/8AHU6W12ZuJjNuPDwSwlx1113ER4ezrRp0xzLunfvjr+/P5988gmGYRAVFcWTTz7JU089BUBycjLh4eHMnDmTXr16sWfPHurVq8emTZto1qwZAEuWLKFTp0788ccfREVF5XrdjIwMMjIyHO2UlBSio6NJTk4mODi4iPdaREQsd+ogLOgPx3822y0fg7ajwNPb2rqkQFJSUggJCbni53eJPJLUsmVLVqxYwb59+wD4+eef+eGHH+jYsSMAhw4dIj4+ntjYWMdzQkJCaNGiBXFxcQDExcURGhrqCEgAsbGxeHh4sGHDhjxfd9y4cYSEhDge0dHRRbWLIiLibnZ+Dh/cbgYk/zD41zxo96oCUilWIk/cfu6550hJSaFOnTp4enqSk5PDf//7X3r37g1AfHw8AOHh4U7PCw8Pd6yLj4+ncuXKTuu9vLwICwtz9LnY888/z8iRIx3t80eSRESkFMs6B0v/A5unm+2qMdB9GoRcY21dUuRKZEiaN28es2fPZs6cOdSvX5/t27czYsQIoqKi6Nu3b5G9rq+vL76+vkW2fRERcTMn98P8fpCwE7BBq5HQ+j/gWSI/PqWASuS7/PTTT/Pcc8/Rq1cvABo0aMDhw4cZN24cffv2JSIiAoCEhAQiIyMdz0tISKBRo0YAREREkJiY6LTd7OxsTp8+7Xi+iIiUYb/Mg69HQNZZCKgI934I17W1uiopRiXynKS0tDQ8PJxL9/T0xG63A1CjRg0iIiJYsWKFY31KSgobNmwgJiYGgJiYGJKSktiyZYujz8qVK7Hb7bRo0aIY9kJERNxSZhosGg6fDzYDUvVWMHS9AlIZVCKPJHXp0oX//ve/VK1alfr167Nt2zYmTZrEgAEDALDZbIwYMYKxY8dSq1YtatSowUsvvURUVBTdunUDoG7dunTo0IHBgwczdepUsrKyGD58OL169crzyjYRESkDEn81h9dO7AFscPuzcPsz4OFpdWVigRIZkt555x1eeukl/v3vf5OYmEhUVBQPP/wwo0aNcvR55plnOHv2LEOGDCEpKYlbb72VJUuW4Of3z00GZ8+ezfDhw2nbti0eHh50796dKVOmWLFLIiJitW2z4dunICsNgsLh3o/g2tutrkosVCLnSXIX+Z1nQURE3FhGqhmOfv7UbF/b2gxIQZUv+zQpufL7+V0ijySJiIi4RMIuc3jt5D6wecAd/4FbnwSPEnnKrriYQpKIiJQ9hgFbZ8F3z0J2OpSLNOc+qn6L1ZWJG1FIEhGRsiXjjHlp/84FZvu6O+GeqRBY0dKyxP0oJImISNlx/GdzeO30b2DzNO+71vIxDa9JnhSSRESk9DMM2PQxLH0BcjIguAr0mA5VNS+eXJpCkoiIlG7pyfDVo7B7kdmu3RG6/Q8CwqytS9yeQpKIiJRef26FBf3hr9/BwxvuHAM3/xtsNqsrkxJAIUlEREofw4ANU2HZS2DPgtCq0GMmVGlqdWVSgigkiYhI6XLuL/Pea78uNtt1u8Dd74J/qKVlScmjkCQiIqXH0U2wYAAkHwFPH2j3X2g+WMNrUigKSSIiUvLZ7RD3LqwYA/ZsKF8Des6AqMZWVyYlmEKSiIiUbGmn4YtHYP9Ss13/HugyBfx0T025OgpJIiJSch2Og4UDIeVP8PSFjq9D0/4aXhOXUEgSEZGSx26H9ZNh5X/ByIEK10HPmRDRwOrKpBRRSBIRkZIl9QR88TAcXGG2G94PnSeBb5C1dUmpo5AkIiIlx+8/wIKBkBoPXv7Q6Q1o/KCG16RIKCSJiIj7s+fA2omw5nUw7FDxerhvFlSua3VlUoopJImIiHs7kwCfD4JDa812oweh0wTwCbS2Lin1FJJERMR9HVwFnw+Bs4ngHQB3TYYbe1ldlZQRCkkiIuJ+crLNobW1EwEDKtc3r16rVNvqyqQMUUgSERH3knIMFg6Cw+vNdpO+0HE8ePtbW5eUOQpJIiLiPvZ/D18MgbRT4BMEXd6GBj2srkrKKIUkERGxXk4WrPov/DDZbEc0gJ6zoEJNa+uSMk0hSURErJX8BywYAEc3mO2bBkO7seDtZ21dUuYpJImIiHX2LoEvH4Fzf4FvMNz9DtTvZnVVIoBCkoiIWCE7E1aMgbh3zXZUY+gxA8JqWFuXyAUUkkREpHj9ddgcXvtzs9m++d8Q+zJ4+VpalsjFFJJERKT47PkaFg2D9GTwC4Fu70OdzlZXJZInhSQRESl62Rmw7CXY+IHZrnIT9JgOoVWtrUvkMhSSRESkaJ3+Deb3h+PbzXbLR6HtaPD0trQskStRSBIRkaKz6wv46jHISAH/MLhnKtRub3VVIvmikCQiIq6XlQ5L/wObp5ntqjHQfRqEXGNtXSIFoJAkIiKudfIAzO8HCTvM9q0j4Y4XwFMfOVKy6CdWRERc55f5sHgEZKZCQEW49wO4LtbqqkQKRSFJRESuXmYaLHkWtv6f2a7eCu79CIIjra1L5CooJImIyNU5sdccXkvcDdjg9mfg9mfBw9PqykSuikKSiIgU3vY58M2TkJUGgZWh+8dw7e1WVyXiEgpJIiJScJlnzXD086dm+9rW5vBaUGVLyxJxJYUkEREpmIRd5vDayX1g84DW/4FWIzW8JqWOQpKIiOSPYZgnZn/3DGSnQ7lIc3it+q1WVyZSJBSSRETkyjLOwOInYMd8s31dLNzzAQRWtLYukSKkkCQiIpd3/BdzeO30QbB5QtuXoOXj4OFhdWUiRUohSURE8mYY5m1FlvwHcjIguAr0mA5VW1hdmUixUEgSEZHc0pPNG9Pu/tJs1+4I3f4HAWGWliVSnBSSRETE2Z9bYUF/+Ot38PCC2DEQMwxsNqsrEylWCkkiImIyDNjwASx7EexZEFIVes6AKs2srkzEEgpJIiIC5/6CRcPh18Vmu85d0PVd8C9vbV0iFlJIEhEp6/7YDPP7Q/IR8PSBdmOh+RANr0mZp5AkIlJWGQbEvQvfvwz2bChfHXrOhKjGFhcm4h4UkkREyqK00/DlUNi3xGzXvwe6vA1+IdbWJeJGFJJERMqaIz/BggGQ8id4+kKHcdBsgIbXRC6ikCQiUlbY7bD+LVg5FowcqHCdObwW0cDqykTckkKSiEhZcPYkfPEwHPjebDe4D+6aBL7lrK1LxI0pJImIlHa//wALB8GZ4+DlD50mQOM+Gl4TuQKFJBGR0sqeA+vehNXjwLBDxevN4bXwelZXJlIiKCSJiJRGZxLg88FwaI3ZbtQbOr0BPoHW1iVSgnhYXUBh/fnnnzz44INUqFABf39/GjRowObNmx3rDcNg1KhRREZG4u/vT2xsLPv373faxunTp+nduzfBwcGEhoYycOBAUlNTi3tXRERc67fVMPVWMyB5B0C3qebNaRWQRAok30eSvvrqqwJv/M4778Tf37/Az7uSv/76i1tuuYU77riD7777jkqVKrF//37Kl/9n+vwJEyYwZcoUZs2aRY0aNXjppZdo3749u3fvxs/PD4DevXtz/Phxli9fTlZWFv3792fIkCHMmTPH5TWLiBQ5ew6sfh3WvgEYULmeObxW6XqrKxMpkWyGYRj56ejhUbCDTjabjf3793PttdcWqrDLee6551i/fj3r1q3Lc71hGERFRfHkk0/y1FNPAZCcnEx4eDgzZ86kV69e7Nmzh3r16rFp0yaaNTNv3rhkyRI6derEH3/8QVRU1BXrSElJISQkhOTkZIKDg123gyIiBZVy3Dw5+/APZrtJX+g4Hrxd/x9VkZIuv5/fBUo+8fHx2O32fD0CAgKueicu5auvvqJZs2b07NmTypUr07hxYz766CPH+kOHDhEfH09sbKxjWUhICC1atCAuLg6AuLg4QkNDHQEJIDY2Fg8PDzZs2JDn62ZkZJCSkuL0EBGx3IHvYeotZkDyCYJ7P4a7pyggiVylfIekvn37Fmjo7MEHHyyyoyu//fYb77//PrVq1WLp0qUMHTqUxx57jFmzZgFmmAMIDw93el54eLhjXXx8PJUrV3Za7+XlRVhYmKPPxcaNG0dISIjjER0d7epdExHJv5xs875rn3SHtFPmpJBD1kDDnlZXJlIq5PucpBkzZhRow++//36Bi8kvu91Os2bNeO211wBo3LgxO3fuZOrUqfTt27fIXvf5559n5MiRjnZKSoqCkohYI/kPWDAQjv5ktm8aBO3+C95+1tYlUooUegqA9PR0fvnlFxITE7Hb7U7r7r777qsu7HIiIyOpV895no+6deuycOFCACIiIgBISEggMjLS0SchIYFGjRo5+iQmJjptIzs7m9OnTzuefzFfX198fX1dtRsiIoWzb6k5e/a5v8A32Bxaq3+P1VWJlDqFCklLlizhoYce4uTJk7nW2Ww2cnJyrrqwy7nlllvYu3ev07J9+/ZRrVo1AGrUqEFERAQrVqxwhKKUlBQ2bNjA0KFDAYiJiSEpKYktW7bQtGlTAFauXIndbqdFixZFWr+ISKHkZJnDa3Hvmu3IRtBzBoS5/gIZESnkPEmPPvooPXv25Pjx47lO2C7qgATwxBNP8NNPP/Haa69x4MAB5syZw4cffsiwYcMAM6iNGDGCsWPH8tVXX7Fjxw4eeughoqKi6NatG2AeeerQoQODBw9m48aNrF+/nuHDh9OrV698XdkmIlKs/joM0zv8E5BaDIWByxSQRIpQvqcAuFBwcDDbtm2jZs2aRVFTvixevJjnn3+e/fv3U6NGDUaOHMngwYMd6w3DYPTo0Xz44YckJSVx66238r///Y/atWs7+pw+fZrhw4fz9ddf4+HhQffu3ZkyZQpBQUH5qkFTAIhIsdizGBb9G9KTwS8Euv4P6t5ldVUiJVZ+P78LFZIGDBjALbfcwsCBA6+qyJJOIUlEilR2BiwfDRv+vhDmmmbQYzqUr2ZtXSIlXJGGpLS0NHr27EmlSpVo0KAB3t7eTusfe+yxgldcAikkiUiROf0bzO8Px7eb7Zjh0HY0ePlYWpZIaZDfz+9Cnbj96aefsmzZMvz8/Fi9ejU2m82xzmazlZmQJCJSJHZ9AV89Bhkp4F/evPfa9R2srkqkzClUSHrhhRcYM2YMzz33XIFvVyIiIpeQlQ5L/wObp5nt6JuhxzQIqWJtXSJlVKFCUmZmJvfff78CkoiIq5w6CPP7QvwOs33rSLjjP+DpffnniUiRKVTK6du3L5999pmraxERKZt2LIAPbjMDUkBFeHAhxI5WQBKxWKGOJOXk5DBhwgSWLl1Kw4YNc524PWnSJJcUJyJSqmWdg++ega3/Z7ar3QrdP4bgyMs/T0SKRaFC0o4dO2jcuDEAO3fudFp34UncIiJyCSf2wvx+kLgbsMHtz8Btz4Bnoe8WJSIuVqjfxlWrVrm6DhGRsmP7p/DNSMhKg8DK0P0juLa11VWJyEX0XxYRkeKSeRa+fRq2zzbbNW6Hez+CcuHW1iUieSp0SFqxYgUrVqwgMTERu93utG769OlXXZiISKmSsNscXju5F2we0Pp5aPUkeHhaXZmIXEKhQtKYMWN45ZVXaNasGZGRkToPSUTkUgwDtv0/8whSdjqUizRPzq5+q9WVicgVFCokTZ06lZkzZ9KnTx9X1yMiUnpknIHFI2HHPLNdsy3c+yEEVrS2LhHJl0JPJtmyZUtX1yIiUnrE7zCH104dAJsntHkRbhkBmoRXpMQo1G/roEGDmDNnjqtrEREp+QwDNk2Dj9qaASn4Guj/LbQaqYAkUsLk+0jSyJEjHV/b7XY+/PBDvv/+e00mKSJyXnoyfP24eYNagNodoNv7EBBmbV0iUij5Dknbtm1zajdq1AjQZJIiIgAc2wbz+8Nfh8DDC2LHQMww0N9EkRIr3yFJE0iKiOTBMGDjh7DsRcjJhJCq0HMGVGlmdWUicpUKPU9SUlIS06ZNY8+ePQDUr1+fAQMGEBIS4rLiRETc2rm/YNFw+HWx2a5zF3R9F/zLW1uXiLhEoc4i3Lx5MzVr1mTy5MmcPn2a06dPM2nSJGrWrMnWrVtdXaOIiPv5YzN8cJsZkDy8ocN4uP8TBSSRUsRmGIZR0Ce1atWK6667jo8++ggvL/NgVHZ2NoMGDeK3335j7dq1Li/UHaWkpBASEkJycjLBwcFWlyMixcEwIO49+H402LOhfHXoMQOuaWJ1ZSKST/n9/C5USPL392fbtm3UqVPHafnu3btp1qwZaWlpBa+4BFJIEilj0k7Dl0Nh3xKzXa8b3D0F/HSagUhJkt/P70INtwUHB3PkyJFcy48ePUq5cuUKs0kREfd2ZANMbWUGJE9f6Pwm9JypgCRSihXqxO3777+fgQMHMnHiRMfM2+vXr+fpp5/mgQcecGmBIiKWstvhx7dhxatg5EBYTTMcRTa0ujIRKWKFCkkTJ07EZrPx0EMPkZ2dDYC3tzdDhw7l9ddfd2mBIiKWOXsSvngYDnxvthv0hLsmg6+OmIuUBYU6J+m8tLQ0Dh48CEDNmjUJCAhwWWElgc5JEinFfl8PCwfCmePg5Qed3oDGfTQ5pEgpkN/P70LPkwQQEBBAgwYNrmYTIiLuxZ4D6ybB6tfAsEPF2tBzFoTXs7oyESlm+T5x+5dffsFut+d7w7t27XIMxYmIlAipifDJvbBqrBmQbvwXDFmtgCRSRuU7JDVu3JhTp07le8MxMTF5XgEnIuKWflsD798Cv60G7wDzxrT3vA8+gVZXJiIWyfdwm2EYvPTSS/k+7ygzM7PQRYmIFBt7DqwZD2smAAZUrmdODlm5zhWfKiKlW75D0m233cbevXvzveGYmBj8/f0LVZSISLFIOQ6fD4bf15ntJg+ZtxfxKVsXoYhI3vIdklavXl2EZYiIFLMD38PnD0PaSfAJgrvegoY9ra5KRNzIVV3dJiJS4uRkw6r/wg+TzHZ4A3NyyIrXWVqWiLgfhSQRKTuS/zTnPjoSZ7abDYT2r4G3n7V1iYhbUkgSkbJh31L44hE4dxp8g6HL23DDvVZXJSJuTCFJREq3nCxYMQZ+fMdsRzaCnjMg7FpLyxIR96eQJCKlV9IRWDAA/thktls8Ane+Al6+1tYlIiWCS0JShw4duPHGG2nYsCENGzakbt26eHkpf4mIhX79Br4cCunJ4BcCXd+Dul2srkpESpB8z7h9OW3atOHXX39lx44d/Oc//yEkJITWrVszbdo0V2xeRCT/sjPhu+dg7r/MgHRNU3h4nQKSiBSYzTAM42o30rhxY7Zt2+Zor169mq+//hpPT098fX159dVXr/Yl3FJ+7yIsIsXk9CFY0B+O/f33KGY4tB0NXj7W1iUibiW/n98uOZLk7+/P/v37He3WrVuzcuVKxo8fzzfffOOKlxARubxdX8IHt5kByb88PDAX2v9XAUlECs0lJw7973//47777qNly5Y0atSI/fv34+3tjc1mIysryxUvISKSt6x0WPYCbPrYbEe3gB7TIaSKtXWJSInnkiNJjRo1YtOmTbRu3ZojR44QGRnJN998Q1paGj169HDFS4iI5HbqIEyL/Scg3foE9PtGAUlEXMIl5yTt3r2bRYsWERoaSv369WnQoAHly5d3RX1uTeckiVhoxwL4+nHITIWACnDPh1Ar1uqqRKQEKNZzku6++24CAgI4e/Ys06ZNo23bttSsWdMVmxYRcZZ1Dr56zLy9SGYqVLsFHvlBAUlEXM4l5yRFRETw+OOPOy3LyclxxaZFRP5xYh/M7weJuwAb3PY03P4seGpeNhFxPZccSWrbti0zZsxwWubp6emKTYuImLZ/Ch/ebgakwMrQ5wto84ICkogUGZeck9S5c2d27tyJh4cHN910k2P27S5dSvfkbTonSaQYZJ6Fb5+G7bPNdo3b4N6PoVy4tXWJSImV389vl/wX7PxcSGfOnGHnzp3s3LmTFStWlPqQJCJFLHGPObx24leweUDr56HVk+ChI9UiUvRcEpKysrKYPXs2J06coF69egwcOBAPD5eM5IlIWWQYsO0T8whS9jkIioDuH0ONVlZXJiJliEuSTK9evdi8eTP+/v4sXryYJk2asG/fPldsWkTKmowz8PkQ+Gq4GZBqtjGvXlNAEpFi5pIjSb/99hsLFy50tLdv386gQYNYu3atKzYvImVF/A5zeO3UAbB5QpsX4ZYRoCPTImIBl/zlKVeuHAcOHHC0GzVqxF9//eWKTYtIWWAYsHk6fNTWDEjB15gzZ7caqYAkIpZxyZGkd999l65du9KpUyfq1avHnj17qFatmis2LSKlXXoKfP0Y7PrCbNdqD93eh8AK1tYlImWeS/6L1rBhQ7Zu3UqzZs04fPgwNWvWZN68ea7YtIiUZse2wwe3mQHJwwvajYUH5iogiYhbuKojSSNGjHDMiXTDDTdw//33u6ouESnNDAM2fgTLXoCcTAipCj2mQ/RNVlcmIuJwVSGpTZs2/PLLL3z33Xfs2rULm81G/fr1adiwYZmYTFJECuFcknnl2p6vzXadu6Dru+Bf+m+KLSIlS4Fm3H7ggQd44YUXuOGGG/Jcn56ezs6dO/nll1/YsWMHkydPdlmh7kgzbosU0B9bYEE/SDoCHt7m8FqLh8Fms7oyESlD8vv5XaBzkj777DPatm3Lzp0781zv6+tLnTp1GDBgQLEFpNdffx2bzcaIESMcy9LT0xk2bBgVKlQgKCiI7t27k5CQ4PS8I0eO0LlzZwICAqhcuTJPP/002dnZxVKzSJljGBD3Hkxvbwak8tVh4DK4+REFJBFxWwU+cbtRo0a0adMmz6CUmJhIaGioK+rKl02bNvHBBx/QsGFDp+VPPPEEX3/9NfPnz2fNmjUcO3aMe++917E+JyeHzp07k5mZyY8//sisWbOYOXMmo0aNKrbaRcqMtNPw6QOw9D9gz4J6XeHhtXBNE6srExG5rAKFJJvNxsyZM2nTpg1t2rRhx44dufrY7XaXFXc5qamp9O7dm48++ojy5f85lyE5OZlp06YxadIk2rRpQ9OmTZkxYwY//vgjP/30EwDLli1j9+7dfPLJJzRq1IiOHTvy6quv8t5775GZmVks9YuUCUc2wNRWsO878PSFzm9Cz1ngF2J1ZSIiV1SgkGQYBp6ensyZM4e2bdvmGZRsxXTofNiwYXTu3JnY2Fin5Vu2bCErK8tpeZ06dahatSpxcXEAxMXF0aBBA8LD/7mLePv27UlJSWHXrl2XfM2MjAxSUlKcHiKSB7sdfngLZnSElD8grCYM+h5uGqThNREpMQo1T5KHhwezZ88mNjbWcYVbcZo7dy5bt25l3LhxudbFx8fj4+OTa9gvPDyc+Ph4R58LA9L59efXXcq4ceMICQlxPKKjo69yT0RKobMnYc598P1oMHLghh7w8BqIbHjl54qIuJECD7c5nvh3ULrzzjtp27ZtsQWlo0eP8vjjjzN79mz8/PyK5TXPe/7550lOTnY8jh49WqyvL+L2fl8PU2+FA8vByw+6TIHuH4NvOasrExEpsAIPtzk92cODTz75xBGUtm/f7sra8rRlyxYSExNp0qQJXl5eeHl5sWbNGqZMmYKXlxfh4eFkZmaSlJTk9LyEhAQiIiIAiIiIyHW12/n2+T558fX1JTg42OkhIpjDa2vfgFl3wZnjULE2DF4JTftqeE1ESqwChaRvvvmGkBDnEy7PB6V27drRvXt3lxaXl7Zt27Jjxw62b9/ueDRr1ozevXs7vvb29mbFihWO5+zdu5cjR44QExMDQExMDDt27CAxMdHRZ/ny5QQHB1OvXr0i3weRUiU1ET65F1aOBcMONz4Ag1dBeH2rKxMRuSoFmkzycux2O3369GHu3Lnk5OS4YpP51rp1axo1asRbb70FwNChQ/n222+ZOXMmwcHBPProowD8+OOPgDkFQKNGjYiKimLChAnEx8fTp08fBg0axGuvvZbv19VkklLm/bYGPh8MqQngHQCdJkLj3lZXJSJyWfn9/L6q25Jc6PwRpccff9xVmyy0yZMn4+HhQffu3cnIyKB9+/b873//c6z39PRk8eLFDB06lJiYGAIDA+nbty+vvPKKhVWLlCD2HFgzAdaMBwyoVBd6zoTKdayuTETEZVx2JKks0pEkKZPOxMPCQfD7OrPduA90nAA+AdbWJSKST8V+JElEyoADK+DzIZB2ErwDoctb0PA+q6sSESkSCkkicmU52bD6NVg3CTAgvIE5vFbxOqsrExEpMgpJInJ5yX/CwoFwxJyxnmYDoP1r4O1vbV0iIkVMIUlELm3fMvjiYTh3GnzKwd1T4IZ7r/w8EZFSQCFJRHLLyYIVr8CPU8x25I3m8FrYtZaWJSJSnBSSRMRZ0hFYMAD+2GS2mz8M7V4FL19r6xIRKWYKSSLyj1+/gS//DelJ4BsCXd+FendbXZWIiCUUkkQEsjPh+9Hw09+Trl7TFHpMh/LVLS1LRMRKCkkiZd1fv8P8/nBsq9mOGQ5tR4OXj6VliYhYTSFJpCzbvQgWPQoZyeAXCvdMhes7Wl2ViIhbUEgSKYuy0mHZi7DpI7Md3QK6T4PQaGvrEhFxIwpJImXNqYMwvx/E/2K2bxkBbV4ET28rqxIRcTsKSSJlyY4F8PUIyDwDARXgng+g1p1WVyUi4pYUkkTKgqxzsOQ52DLTbFdtCT2mQXCUpWWJiLgzhSSR0u7EPnN4LXEXYIPbnoLbnwNP/fqLiFyO/kqKlGY/z4XFIyHrLARWgns/gpp3WF2ViEiJoJAkUhplnoVvn4Htn5jtGreZAalchLV1iYiUIApJIqVN4h5zeO3Er2DzMIfWbnsKPDytrkxEpERRSBIpLQwDts+Gb56C7HMQFAHdP4YarayuTESkRFJIEikNMlLhm5Hwy2dmu2YbuOdDCKpkbV0iIiWYQpJISRe/0xxeO7UfbJ7Q5gW45Qnw8LC6MhGREk0hSaSkMgzYMgO+ew5yMqBcFPSYDtVirK5MRKRUUEgSKYnSU+Drx2HX52a7VjvoNhUCK1hbl4hIKaKQJFLSHNsOC/rD6d/AwwvajoaY4RpeExFxMYUkkZLCMGDjR7DsBcjJhJBo6DEDom+yujIRkVJJIUmkJDiXBF89Cnu+MtvXd4au70JAmKVliYiUZgpJIu7uzy0wvz8kHQYPb2j3KrR4BGw2qysTESnVFJJE3JVhwE/vw/JRYM+C0GrQcwZc09TqykREygSFJBF3lHYaFg2Dvd+a7bp3w93vgH+opWWJiJQlCkki7uboRlgwAJKPgqcPtH8Nbhqk4TURkWKmkCTiLux2+HEKrHgFjBwIuxZ6zoTIG62uTESkTFJIEnEHZ0/BFw/DgeVm+4bucNdb4BdsaVkiImWZQpKI1Q7/CAsGwplj4OUHHcdDk74aXhMRsZhCkohV7Hb44U1Y9RoYdqhQyxxei7jB6spERASFJBFrpCbC50Pgt1Vmu2Ev6Pwm+AZZW5eIiDgoJIkUt0NrYeEgSE0AL38zHDXubXVVIiJyEYUkkeJiz4G1b8Ca8ebwWqW65vBa5TpWVyYiInlQSBIpDmfizaNHv68z240fhI5vgE+AtXWJiMglKSSJFLWDK83zj86eAO9AuGsy3Hi/1VWJiMgVKCSJFJWcbFg9Dta9CRgQfoM5vFaxltWViYhIPigkiRSF5D/N4bUjP5rtpv2hwzjw9re2LhERyTeFJBFX27fMnD373GnwKQd3v23OoC0iIiWKQpKIq+Rkmfdd+3GK2Y68EXrMgAo1ra1LREQKRSFJxBWSjsKCAfDHRrPd/GFo9yp4+Vpbl4iIFJpCksjV+vVb+HIopCeBbwh0fRfq3W11VSIicpUUkkQKKzsTvn8ZfnrPbEc1gZ4zoHx1K6sSEREXUUgSKYy/fof5/eHYVrN98zCIfRm8fKysSkREXEghSaSgdn8Fi4ZDRjL4hUK396FOJ6urEhERF1NIEsmv7AxY9iJs/NBsV2kOPaZDaLS1dYmISJFQSBLJj1MHYUF/OP6z2b7lcWjzEnh6W1uXiIgUGYUkkSvZuRC+ehwyz4B/GNzzAdRuZ3VVIiJSxBSSRC4l6xwseR62zDDbVVtC948h5Bpr6xIRkWKhkCSSl5P7YX4/SNgJ2OC2p+D258BTvzIiImWF/uKLXOznz2DxE5B1FgIrwb0fQs02VlclIiLFTCFJ5LzMNPjuadj2idmu3socXisXYW1dIiJiCYUkEYDEX2F+XzjxK2CD1s/BbU+Dh6fVlYmIiEU8rC6gMMaNG8dNN91EuXLlqFy5Mt26dWPv3r1OfdLT0xk2bBgVKlQgKCiI7t27k5CQ4NTnyJEjdO7cmYCAACpXrszTTz9NdnZ2ce6KWM0wzCNHH7Y2A1JQOPT9ygxJCkgiImVaiQxJa9asYdiwYfz0008sX76crKws2rVrx9mzZx19nnjiCb7++mvmz5/PmjVrOHbsGPfee69jfU5ODp07dyYzM5Mff/yRWbNmMXPmTEaNGmXFLokVMlLhi0dg0TDIPgfX3gGPrIcat1ldmYiIuAGbYRiG1UVcrRMnTlC5cmXWrFnDbbfdRnJyMpUqVWLOnDn06NEDgF9//ZW6desSFxfHzTffzHfffcddd93FsWPHCA8PB2Dq1Kk8++yznDhxAh+fK9+DKyUlhZCQEJKTkwkODi7SfRQXi99pTg55ch/YPOCOF+DWkeBRIv/fICIiBZDfz+9S8YmQnJwMQFhYGABbtmwhKyuL2NhYR586depQtWpV4uLiAIiLi6NBgwaOgATQvn17UlJS2LVrV56vk5GRQUpKitNDShjDgM0z4OO2ZkAqFwX9vjEv8VdAEhGRC5T4TwW73c6IESO45ZZbuOGGGwCIj4/Hx8eH0NBQp77h4eHEx8c7+lwYkM6vP78uL+PGjSMkJMTxiI7WPbtKlPQUWDgQFo+A7HS47k545Aeo1tLqykRExA2V+JA0bNgwdu7cydy5c4v8tZ5//nmSk5Mdj6NHjxb5a4qLHP8ZPrzdvMWIzRPufAX+NQ8CK1hdmYiIuKkSPQXA8OHDWbx4MWvXrqVKlSqO5REREWRmZpKUlOR0NCkhIYGIiAhHn40bNzpt7/zVb+f7XMzX1xdfX18X74UUKcOATR/D0v9ATiaEREOP6RDd3OrKRETEzZXII0mGYTB8+HC++OILVq5cSY0aNZzWN23aFG9vb1asWOFYtnfvXo4cOUJMTAwAMTEx7Nixg8TEREef5cuXExwcTL169YpnR6RonUsy5z769ikzIF3fCR5eq4AkIiL5UiKPJA0bNow5c+awaNEiypUr5ziHKCQkBH9/f0JCQhg4cCAjR44kLCyM4OBgHn30UWJiYrj55psBaNeuHfXq1aNPnz5MmDCB+Ph4XnzxRYYNG6ajRaXBn1tgfn9IOgwe3ubw2s1DwWazujIRESkhSuQUALZLfNDNmDGDfv36AeZkkk8++SSffvopGRkZtG/fnv/9739OQ2mHDx9m6NChrF69msDAQPr27cvrr7+Ol1f+sqOmAHBDhgE/vQ/LR4E9C0KrQc8ZcE1TqysTERE3kd/P7xIZktyFQpKbSTsNi4bD3m/Mdt274e53wD/U0rJERMS95Pfzu0QOt4nkcnSTOTlk8lHw9IH2r8FNgzS8JiIihaaQJCWb3Q5x78CKV8CeDeVrQM+ZENXI6spERKSEU0iSkuvsKfhyKOxfarbr3wtd3gY/DX2KiMjVU0iSkunwj7BgIJw5Bp6+0HE8NO2n4TUREXEZhSQpWex2+GESrHoNjByoUMscXou4werKRESklFFIkpIj9QR8MQQOrjTbDXtB5zfBN8jaukREJN8MwyAj205aZg5nM7I5l/X3v5k5nM3MIS3zn6/PZWbzQPOqVAiyZv5ChSQpGQ6tg4WDIDUevPyh80Ro1FvDayIiRSTHbnAuK4e0jGzSMnP+fmQ7/Xs+yJzNyDH7ZmaTlpHz9zrnsGP+a/axF2DyodbXV1ZIEsmTPQfWvgFrxoNhh0p1zOG1ynWtrkxExC1kZtv/DiPOAcZpWUY2aVk5jgDzT9jJHXzOf52eZS/y2n29PAj09cLf25MAH08CfL0I8PYk0NcTfx8vAn08KednXVRRSBL3dSYBPh8Eh9aa7cYPQsc3wCfA2rpERArIMAzSs+xOQcRxpMUx5JR7qOnsxWHnwgD09/Oycop2TmibDQK8/w4wPp4E+Jz/1zOPtleeYefC9YE+nvj//bWnh3uPBigkiXs6uAo+HwxnT4B3INw1CW7sZXVVIlLK5diNSxxluXDY6aKhpguGkRwB6ILgcy7TPIpT1Pe38Pa0OUKKv48ngT5ef/97UZD5O8D4+3gSmGfwcf7az9vjkrcDK+0UksS95GTD6nGw7k3AgMr1zeG1SrWtrkxE3IRhGGTm2J2PuFw0jJTX0Ze0jJy/h5z+bmflDj4Z2UU/xOTn7XFBgPH6+6jKP+Ek0NcTf2+vv4/CeDr1zRWAfD0J8Da/9vHyKPLayxqFJHEfKcfMk7MPrzfbTftDh3Hg7W9tXSJSKHa7QXr2+aMpOaRlZTu+/uek3vNDTub681+fu0Tf8wEouyBn/haCh43LDiMF+F5mqOmisGM+z1zu7+3p9kNM8g+FJHEP+783L+9POwU+5aDLW9Cgh9VViZQJ2Tn2C07qzX3OjPPRmCsPNV34dVHz8fQwA8gFw0f+3n//m9dQ00VHYxzB56L1vl5ld4hJ/qGQJNbKyYKVY2H9W2Y7oqE5vFahppVVibid83PLOB9ZueCS6wuGjs7PO3Ppq5ich6Myi2GIyd9xEq/n5YeafP6+qsnX0ynsBDgFn3+e5+2pISYpOgpJYp2ko7BwIBzdYLabD4E7XwVvP2vrErkK9r/nlrlwGOlc1t9HX/IxjHTxvDP/TLJXsLllCsPTw3b5K5Z8Lhg6chpGymOo6YIg4+/tiYeGmKQEUkgSa+z9Dr54BNKTwDcEur4D9bpaXZWUIVk59twn9V5pqCkz77CTlvXPBHrnsophiMnL44rDSI6TevMz1PT3OTY+nhpiErmQQpIUr+xMWDEG4t4121FNoMd0CKthbV3ils4PMZ29aBjJaajpwsuzs/6ZPybtkjMFm30yc4p+iCmvOWUuPmfmwvlnHENNPs7n1zie93d/Lw0xiRQLhSQpPn/9DgsGwJ9bzPbN/4bYMeDlY2lZcvUuvn3BxbcjyOv2BRcOI+Uaairk7QsKw8sxxOT1z9CRt9clh5Hy/Prvvheea1OW55YRKS0UkqR47P4KFg2HjGTwC4Vu70OdTlZXVeZc6vYFFw85/RNS8nevpuK+fcGFtyy45FDTxcHnEufYaG4ZEbkUhSQpWtkZsOxF2Pih2a5ykzm8FlrV2rrc2PnbF+R5Uu9Fty+4eCjpkhPo/f11Uc8tY7OR5xVLjqEmx7kyl79X08UT55WE2xeISOmjkCRF59RBWNAfjv9stm95HNq8BJ7e1tblIhffvuCfAHOZoaZcYefCc22suX3BZYeSHCf1XrlvoK+X5pYRkVJFIUmKxs7P4avHIPMM+IfBPR9A7XbFXsb52xfkuh1BXkNNf3/9zxVLuW9Z4OhTjHPL5HXF0vlbFlx6qCnvc2Z0+wIRkfxTSBLXyjoHS/8Dm6eb7aox0H0ahFxz2addfPuCPO94fdHtC9Iuca8m5+fnkFMMty+43DBSXif15uteTZpbRkTEUgpJUiDZOfa873idmY3Hqf3cGDeC0DP7MLCx8Zq+fF9pIKkrTnMuM/GfoaaL7tlkxe0L8jN8lPe9mnT7AhGRskIhqRQ6P7dMrmGiy9z5+sJhpFz3YXLMOXPpuWW6evzAa97TCLRlcNII5omsf7PuYEM4eLTA9V92cjyfi65q+jvs+F90y4JcQ02aW0ZERApIIckNbf79NCdTMy8/jHSJezUV9+0Lyntn86wxnc7Z3wOw27cRsyJfoHJAOH0uuH3Bxfdsyuv2BYG+nvh5aYhJRETcg0KSGxq1aBe7j6e4ZFu+Xh75HEa6/L2azl+e7XT7ghN7YX4/OLEHsMHtz1Lv9mcY7+HpktpFRESspJDkhupFBePn7ZHr9gW5hpouHI66oO/5oONflENM22bDt09BVhoEhcO9H8G1txfNa4mIiFhAIckNTex5o9UlXFpGqhmOfv7UbF97B9z7IQRVtrYuERERF1NIkvxL2GUOr53cBzYPuOM/cOuT4KETokVEpPRRSJIrMwzYOgu+exay06FcpDn3UfVbrK5MRESkyCgkyeVlnIGvR8DOBWb7ujvhnqkQWNHSskRERIqaQpJc2vGfzeG107+BzRPajoKWj2l4TUREygSFJMnNMGDTx7D0BcjJgOAq0GM6VG1hdWUiIiLFRiFJnKUnw1ePwu5FZvv6TtD1PQgIs7YuERGRYqaQJP/4c6s5vJZ0GDy84c4xcPO/QfclExGRMkghSczhtQ1TYdlLYM+C0KrQYyZUaWp1ZSIiIpZRSCrrzv0Fi4bDr4vNdt0ucPe74B9qaVkiIiJWU0gqy45uggUDIPkIePpAu/9C88EaXhMREUEhqWyy2yHuXVgxBuzZUL4G9JwJUY2srkxERMRtKCSVNWmn4YtHYP9Ss13/XujyNvgFW1uXiIiIm1FIKksOx8HCgZDyJ3j6QsfXoWl/Da+JiIjkQSGpLLDbYf1kWPlfMHKgwnXm8FpEA6srExERcVsKSaVd6gn4YggcXGm2G94PnSeBb5C1dYmIiLg5haTS7NA6WDgIUuPByx86vQGNH9TwmoiISD4oJJVG9hxYOxHWvA6GHSrVMYfXKte1ujIREZESQyGptDmTAJ8PgkNrzXajB6HTBPAJtLYuERGREkYhqTQ5uAo+HwJnE8E7EO6aBDf2sroqERGREkkhqTTIyTaH1tZOBAyoXN8cXqtU2+rKRERESiyFpJIu5Zh5cvbh9Wa7aT/o8Dp4+1taloiISEmnkFSS7f/evLw/7RT4BJkzZzfoYXVVIiIipYJCUkmUkwWr/gs/TDbbEQ2g5yyoUNPaukREREoRhaSSJvkPWDAAjm4w2zcNhnZjwdvP2rpERERKGYWkkmTvd/DlUDj3F/gGw93vQP1uVlclIiJSKikklQTZmbBiDMS9a7ajGkOPGRBWw9q6RERESjGFJHf312FY0B/+3GK2b/43xI4BLx9r6xIRESnlFJLc2Z6vYdEwSE8GvxDo9j7U6Wx1VSIiImWCh9UFWO29996jevXq+Pn50aJFCzZu3Gh1SZCdAd8+A589aAakKjfBIz8oIImIiBSjMh2SPvvsM0aOHMno0aPZunUrN954I+3btycxMdG6ojJSYVo72PiB2W75GPT/DkKrWleTiIhIGVSmQ9KkSZMYPHgw/fv3p169ekydOpWAgACmT59uXVG+QVC5HviHwb/mQbtXwdPbunpERETKqDIbkjIzM9myZQuxsbGOZR4eHsTGxhIXF5fnczIyMkhJSXF6FInOE83htdrti2b7IiIickVlNiSdPHmSnJwcwsPDnZaHh4cTHx+f53PGjRtHSEiI4xEdHV00xfkEQsg1RbNtERERyZcyG5IK4/nnnyc5OdnxOHr0qNUliYiISBEps1MAVKxYEU9PTxISEpyWJyQkEBERkedzfH198fX1LY7yRERExGJl9kiSj48PTZs2ZcWKFY5ldrudFStWEBMTY2FlIiIi4g7K7JEkgJEjR9K3b1+aNWtG8+bNeeuttzh79iz9+/e3ujQRERGxWJkOSffffz8nTpxg1KhRxMfH06hRI5YsWZLrZG4REREpe2yGYRhWF1FSpaSkEBISQnJyMsHBwVaXIyIiIvmQ38/vMntOkoiIiMjlKCSJiIiI5EEhSURERCQPCkkiIiIieVBIEhEREcmDQpKIiIhIHhSSRERERPJQpieTvFrnp5hKSUmxuBIRERHJr/Of21eaKlIh6SqcOXMGgOjoaIsrERERkYI6c+YMISEhl1yvGbevgt1u59ixY5QrVw6bzXbV20tJSSE6OpqjR4+W2hm8S/s+lvb9A+1jaVDa9w+0j6VBUe6fYRicOXOGqKgoPDwufeaRjiRdBQ8PD6pUqeLy7QYHB5fKH/gLlfZ9LO37B9rH0qC07x9oH0uDotq/yx1BOk8nbouIiIjkQSFJREREJA8KSW7E19eX0aNH4+vra3UpRaa072Np3z/QPpYGpX3/QPtYGrjD/unEbREREZE86EiSiIiISB4UkkRERETyoJAkIiIikgeFJBEREZE8KCQVsffee4/q1avj5+dHixYt2Lhx42X7z58/nzp16uDn50eDBg349ttvndYbhsGoUaOIjIzE39+f2NhY9u/fX5S7cFkF2b+PPvqIVq1aUb58ecqXL09sbGyu/v369cNmszk9OnToUNS7cVkF2ceZM2fmqt/Pz8+pT0l+D1u3bp1r/2w2G507d3b0cbf3cO3atXTp0oWoqChsNhtffvnlFZ+zevVqmjRpgq+vL9dddx0zZ87M1aegv9tFpaD79/nnn3PnnXdSqVIlgoODiYmJYenSpU59Xn755VzvYZ06dYpwLy6voPu4evXqPH9O4+Pjnfq5y3sIBd/HvH7PbDYb9evXd/Rxp/dx3Lhx3HTTTZQrV47KlSvTrVs39u7de8XnWf2ZqJBUhD777DNGjhzJ6NGj2bp1KzfeeCPt27cnMTExz/4//vgjDzzwAAMHDmTbtm1069aNbt26sXPnTkefCRMmMGXKFKZOncqGDRsIDAykffv2pKenF9duORR0/1avXs0DDzzAqlWriIuLIzo6mnbt2vHnn3869evQoQPHjx93PD799NPi2J08FXQfwZwd9sL6Dx8+7LS+JL+Hn3/+udO+7dy5E09PT3r27OnUz53ew7Nnz3LjjTfy3nvv5av/oUOH6Ny5M3fccQfbt29nxIgRDBo0yClIFObnoqgUdP/Wrl3LnXfeybfffsuWLVu444476NKlC9u2bXPqV79+faf38IcffiiK8vOloPt43t69e532oXLlyo517vQeQsH38e2333bat6NHjxIWFpbrd9Fd3sc1a9YwbNgwfvrpJ5YvX05WVhbt2rXj7Nmzl3yOW3wmGlJkmjdvbgwbNszRzsnJMaKiooxx48bl2f++++4zOnfu7LSsRYsWxsMPP2wYhmHY7XYjIiLCeOONNxzrk5KSDF9fX+PTTz8tgj24vILu38Wys7ONcuXKGbNmzXIs69u3r9G1a1dXl1poBd3HGTNmGCEhIZfcXml7DydPnmyUK1fOSE1NdSxzt/fwQoDxxRdfXLbPM888Y9SvX99p2f3332+0b9/e0b7a71tRyc/+5aVevXrGmDFjHO3Ro0cbN954o+sKc6H87OOqVasMwPjrr78u2cdd30PDKNz7+MUXXxg2m834/fffHcvc+X1MTEw0AGPNmjWX7OMOn4k6klREMjMz2bJlC7GxsY5lHh4exMbGEhcXl+dz4uLinPoDtG/f3tH/0KFDxMfHO/UJCQmhRYsWl9xmUSnM/l0sLS2NrKwswsLCnJavXr2aypUrc/311zN06FBOnTrl0trzq7D7mJqaSrVq1YiOjqZr167s2rXLsa60vYfTpk2jV69eBAYGOi13l/ewMK70e+iK75s7sdvtnDlzJtfv4f79+4mKiuLaa6+ld+/eHDlyxKIKC69Ro0ZERkZy5513sn79esfy0vYegvm7GBsbS7Vq1ZyWu+v7mJycDJDr5+5C7vCZqJBURE6ePElOTg7h4eFOy8PDw3ONi58XHx9/2f7n/y3INotKYfbvYs8++yxRUVFOP+AdOnTg//7v/1ixYgXjx49nzZo1dOzYkZycHJfWnx+F2cfrr7+e6dOns2jRIj755BPsdjstW7bkjz/+AErXe7hx40Z27tzJoEGDnJa703tYGJf6PUxJSeHcuXMu+dl3JxMnTiQ1NZX77rvPsaxFixbMnDmTJUuW8P7773Po0CFatWrFmTNnLKw0/yIjI5k6dSoLFy5k4cKFREdH07p1a7Zu3Qq45u+XOzl27Bjfffddrt9Fd30f7XY7I0aM4JZbbuGGG264ZD93+Ez0cslWRAro9ddfZ+7cuaxevdrpxOZevXo5vm7QoAENGzakZs2arF69mrZt21pRaoHExMQQExPjaLds2ZK6devywQcf8Oqrr1pYmetNmzaNBg0a0Lx5c6flJf09LEvmzJnDmDFjWLRokdP5Oh07dnR83bBhQ1q0aEG1atWYN28eAwcOtKLUArn++uu5/vrrHe2WLVty8OBBJk+ezP/7f//PwsqKxqxZswgNDaVbt25Oy931fRw2bBg7d+609Dy3/NKRpCJSsWJFPD09SUhIcFqekJBAREREns+JiIi4bP/z/xZkm0WlMPt33sSJE3n99ddZtmwZDRs2vGzfa6+9looVK3LgwIGrrrmgrmYfz/P29qZx48aO+kvLe3j27Fnmzp2brz+0Vr6HhXGp38Pg4GD8/f1d8nPhDubOncugQYOYN29eriGNi4WGhlK7du0S8x7mpXnz5o76S8t7CObVXdOnT6dPnz74+Phctq87vI/Dhw9n8eLFrFq1iipVqly2rzt8JiokFREfHx+aNm3KihUrHMvsdjsrVqxwOtJwoZiYGKf+AMuXL3f0r1GjBhEREU59UlJS2LBhwyW3WVQKs39gXonw6quvsmTJEpo1a3bF1/njjz84deoUkZGRLqm7IAq7jxfKyclhx44djvpLw3sI5mW5GRkZPPjgg1d8HSvfw8K40u+hK34urPbpp5/Sv39/Pv30U6fpGy4lNTWVgwcPlpj3MC/bt2931F8a3sPz1qxZw4EDB/L1HxYr30fDMBg+fDhffPEFK1eupEaNGld8jlt8Jrrk9G/J09y5cw1fX19j5syZxu7du40hQ4YYoaGhRnx8vGEYhtGnTx/jueeec/Rfv3694eXlZUycONHYs2ePMXr0aMPb29vYsWOHo8/rr79uhIaGGosWLTJ++eUXo2vXrkaNGjWMc+fOuf3+vf7664aPj4+xYMEC4/jx447HmTNnDMMwjDNnzhhPPfWUERcXZxw6dMj4/vvvjSZNmhi1atUy0tPTi33/CrOPY8aMMZYuXWocPHjQ2LJli9GrVy/Dz8/P2LVrl6NPSX4Pz7v11luN+++/P9dyd3wPz5w5Y2zbts3Ytm2bARiTJk0ytm3bZhw+fNgwDMN47rnnjD59+jj6//bbb0ZAQIDx9NNPG3v27DHee+89w9PT01iyZImjz5W+b+68f7Nnzza8vLyM9957z+n3MCkpydHnySefNFavXm0cOnTIWL9+vREbG2tUrFjRSExMLPb9M4yC7+PkyZONL7/80ti/f7+xY8cO4/HHHzc8PDyM77//3tHHnd5Dwyj4Pp734IMPGi1atMhzm+70Pg4dOtQICQkxVq9e7fRzl5aW5ujjjp+JCklF7J133jGqVq1q+Pj4GM2bNzd++uknx7rbb7/d6Nu3r1P/efPmGbVr1zZ8fHyM+vXrG998843Tervdbrz00ktGeHi44evra7Rt29bYu3dvcexKngqyf9WqVTOAXI/Ro0cbhmEYaWlpRrt27YxKlSoZ3t7eRrVq1YzBgwdb9kfrvILs44gRIxx9w8PDjU6dOhlbt2512l5Jfg8NwzB+/fVXAzCWLVuWa1vu+B6evxz84sf5/erbt69x++2353pOo0aNDB8fH+Paa681ZsyYkWu7l/u+FaeC7t/tt99+2f6GYU55EBkZafj4+BjXXHONcf/99xsHDhwo3h27QEH3cfz48UbNmjUNPz8/IywszGjdurWxcuXKXNt1l/fQMAr3c5qUlGT4+/sbH374YZ7bdKf3Ma99A5x+t9zxM9H2d/EiIiIicgGdkyQiIiKSB4UkERERkTwoJImIiIjkQSFJREREJA8KSSIiIiJ5UEgSERERyYNCkoiIiEgeFJJERESk2Kxdu5YuXboQFRWFzWbjyy+/LNDz09PT6devHw0aNMDLyyvXjX3PW716NU2aNMHX15frrruOmTNnFrhWhSQRcSnDMBgyZAhhYWHYbDa2b99udUluqV+/fthstkJ9SFzJ6tWrHdu+1AeIiFXOnj3LjTfeyHvvvVeo5+fk5ODv789jjz12yZszHzp0iM6dO3PHHXewfft2RowYwaBBg1i6dGmBXkshSURcasmSJcycOZPFixdz/PhxbrjhBqtLclsdOnTg+PHjdOzY0bHsUqGpX79++Q48LVu25Pjx49x3330uqlTEdTp27MjYsWO555578lyfkZHBU089xTXXXENgYCAtWrRg9erVjvWBgYG8//77DB48mIiIiDy3MXXqVGrUqMGbb75J3bp1GT58OD169GDy5MkFqlUhSURc6vxdxlu2bElERAReXl65+mRmZlpQmfvx9fUlIiICX19fl27Xx8eHiIgI/P39XbpdkeIwfPhw4uLimDt3Lr/88gs9e/akQ4cO7N+/P9/biIuLy3WUqX379sTFxRWoFoUkEXGZfv368eijj3LkyBFsNhvVq1cHoHXr1gwfPpwRI0ZQsWJF2rdvD8DOnTvp2LEjQUFBhIeH06dPH06ePOnY3tmzZ3nooYcICgoiMjKSN998k9atWzNixAhHn7yOvISGhjqdf3D06FHuu+8+QkNDCQsLo2vXrvz+++9OdXfr1o2JEycSGRlJhQoVGDZsGFlZWY4+GRkZPPvss0RHRzvOcZg2bRqGYXDdddcxceJEpxq2b9+OzWbjwIEDV/dNzcPvv//uGE678NG6dWuXv5ZIcTpy5AgzZsxg/vz5tGrVipo1a/LUU09x6623MmPGjHxvJz4+nvDwcKdl4eHhpKSkcO7cuXxvRyFJRFzm7bff5pVXXqFKlSocP36cTZs2OdbNmjULHx8f1q9fz9SpU0lKSqJNmzY0btyYzZs3s2TJEhISEpyGiJ5++mnWrFnDokWLWLZsGatXr2br1q0FqikrK4v27dtTrlw51q1bx/r16wkKCqJDhw5OR7RWrVrFwYMHWbVqFbNmzWLmzJlOQeuhhx7i008/ZcqUKezZs4cPPviAoKAgbDYbAwYMyPUHfMaMGdx2221cd911BfwuXll0dDTHjx93PLZt20aFChW47bbbXP5aIsVpx44d5OTkULt2bYKCghyPNWvWcPDgwWKvJ/dxcBGRQgoJCaFcuXJ4enrmOlegVq1aTJgwwdEeO3YsjRs35rXXXnMsmz59OtHR0ezbt4+oqCimTZvGJ598Qtu2bQEzaFWpUqVANX322WfY7XY+/vhjbDYbYAaY0NBQVq9eTbt27QAoX7487777Lp6entSpU4fOnTuzYsUKBg8ezL59+5g3bx7Lly93HMK/9tprHa/Rr18/Ro0axcaNG2nevDlZWVnMmTMn19Gl/HrggQfw9PR0WpaRkUHnzp0BnL6/6enpdOvWjZiYGF5++eVCvZ6Iu0hNTcXT05MtW7bk+h0ICgrK93YiIiJISEhwWpaQkEBwcHCBhqEVkkSkWDRt2tSp/fPPP7Nq1ao8//AdPHiQc+fOkZmZSYsWLRzLw8LCuP766wv0uj///DMHDhygXLlyTsvT09Od/mdav359pz/KkZGR7NixAzCHzjw9Pbn99tvzfI2oqCg6d+7M9OnTad68OV9//TUZGRn07NmzQLWeN3ny5FznUzz77LPk5OTk6jtgwADOnDnD8uXL8fDQ4ICUbI0bNyYnJ4fExERatWpV6O3ExMTw7bffOi1bvnw5MTExBdqOQpKIFIvAwECndmpqKl26dGH8+PG5+kZGRub7XB6bzYZhGE7LLjyXKDU1laZNmzJ79uxcz61UqZLja29v71zbtdvtAPn6n+egQYPo06cPkydPZsaMGdx///0EBATkax8uFhERkWuYrly5ciQlJTktGzt2LEuXLmXjxo25QqCIu0pNTXX6/T506BDbt28nLCyM2rVr07t3bx566CHefPNNGjduzIkTJ1ixYgUNGzZ0HE3dvXs3mZmZnD59mjNnzjimGmnUqBEAjzzyCO+++y7PPPMMAwYMYOXKlcybN49vvvmmQLUqJImIJZo0acLChQupXr16nlfA1axZE29vbzZs2EDVqlUB+Ouvv9i3b5/TEZ1KlSpx/PhxR3v//v2kpaU5vc5nn31G5cqVCQ4OLlStDRo0wG63s2bNmkvOy9KpUyfHpclLlixh7dq1hXqt/Fq4cCGvvPIK3333HTVr1izS1xJxpc2bN3PHHXc42iNHjgSgb9++zJw5kxkzZjB27FiefPJJ/vzzTypWrMjNN9/MXXfd5XhOp06dOHz4sKPduHFjAMd/mGrUqME333zDE088wdtvv02VKlX4+OOPHReN5JeOzYqIJYYNG8bp06d54IEH2LRpEwcPHmTp0qX079+fnJwcgoKCGDhwIE8//TQrV65k586d9OvXL9eQUps2bXj33XfZtm0bmzdv5pFHHnE6KtS7d28qVqxI165dWbduHYcOHWL16tU89thj/PHHH/mqtXr16vTt25cBAwbw5ZdfOrYxb948Rx9PT0/69evH888/T61atQp8WL8gdu7cyUMPPcSzzz5L/fr1iY+PJz4+ntOnTxfZa4q4SuvWrTEMI9fj/IUS3t7ejBkzhkOHDpGZmcmxY8f4/PPPadCggWMbv//+e57buPh1tm3bRkZGBgcPHqRfv34FrlUhSUQsERUVxfr168nJyaFdu3Y0aNCAESNGEBoa6ghCb7zxBq1ataJLly7ExsZy66235jq36c033yQ6OppWrVrxr3/9i6eeesppmCsgIIC1a9dStWpV7r33XurWrcvAgQNJT08v0JGl999/nx49evDvf/+bOnXqMHjwYM6ePevUZ+DAgWRmZtK/f/+r+M5c2ebNm0lLS2Ps2LFERkY6Hvfee2+Rvq5IWWMzLo5eIiJurHXr1jRq1Ii33nrL6lJyWbduHW3btuXo0aO55mi5WL9+/UhKSnL5LUmK+zVESjMdSRIRuUoZGRn88ccfvPzyy/Ts2fOKAem8xYsXExQUxOLFi11az7p16wgKCsrzZHURyT+duC0icpU+/fRTBg4cSKNGjfi///u/fD1nwoQJvPjii4B5NZ8rNWvWzHG1T0HmlhERZxpuExEREcmDhttERERE8qCQJCIiIpIHhSQRERGRPCgkiYiIiORBIUlEREQkDwpJIiIiInlQSBIRERHJg0KSiIiISB7+P1oCaM0iCH1hAAAAAElFTkSuQmCC\n"
+          },
+          "metadata": {}
+        }
+      ],
+      "source": [
+        "ax = imp.plot()"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "UnWJlpenqe-E"
+      },
+      "source": [
+        "The `WakeFunction` class works in a similar way:"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 14,
+      "metadata": {
+        "id": "k9xRV3LelBmI"
+      },
+      "outputs": [],
+      "source": [
+        "variable = np.linspace(-1e-9, 1e-9, 1000) # time points in [s]\n",
+        "function = np.cos(variable*5e9) # wake function values in [V/C]\n",
+        "ind = variable < 0\n",
+        "function[ind] = 0\n",
+        "component_type = \"long\" # type of the wake function\n",
+        "wake = WakeFunction(variable, function, component_type)"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 15,
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 449
+        },
+        "id": "O0ey7emgrAlz",
+        "outputId": "33c9cbe1-ab5e-450a-d529-04e6d6526291"
+      },
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 640x480 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {}
+        }
+      ],
+      "source": [
+        "ax = wake.plot()"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "oHqxyScysV_3"
+      },
+      "source": [
+        "The list of possible types for `Impedance` and `WakeFunction` objects is:\n",
+        " * `\"long\"` for (monopoloar) longitudinal\n",
+        " * `\"xdip\"` for dipolar horizontal\n",
+        " * `\"ydip\"` for dipolar vertical\n",
+        " * `\"xquad\"` for quadripolar horizontal\n",
+        " * `\"yquad\"` for quadripolar vertical\n",
+        "\n",
+        "The type of the `Impedance` or `WakeFunction` can be checked using:"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 16,
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 36
+        },
+        "id": "bp1zoXoZrBuS",
+        "outputId": "1d222191-f592-46ea-c540-5598465d546e"
+      },
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "'long'"
+            ],
+            "application/vnd.google.colaboratory.intrinsic+json": {
+              "type": "string"
+            }
+          },
+          "metadata": {},
+          "execution_count": 16
+        }
+      ],
+      "source": [
+        "wake.component_type"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "0pytMa3vwNjt"
+      },
+      "source": [
+        "Linear algebra is possible on both `Impedance` and `WakeFunction` objects of the same type:"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 17,
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 449
+        },
+        "id": "qVKSQwXfwmHd",
+        "outputId": "02a40cce-ec5b-429b-be97-cf20bf78d28b"
+      },
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 640x480 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {}
+        }
+      ],
+      "source": [
+        "new_wake = wake*5 + wake\n",
+        "ax = new_wake.plot()"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "l5S-W05yvnF3"
+      },
+      "source": [
+        "Both `Impedance` and `WakeFunction` have a function-like behaviour and can be called at given points to get an interpolation of the data at theses points:"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 18,
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "L5lDaCukuo4O",
+        "outputId": "77d5ad55-2cb0-48ce-b1f8-81fe67c7e63e"
+      },
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "array([103. +50.j, 115.+250.j, 130.+500.j])"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 18
+        }
+      ],
+      "source": [
+        "freq_points = [1e9, 5e9, 10e9] # in [Hz]\n",
+        "imp(freq_points) # interpolated data in [Ohm]"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "4PWP3Vd40DwE"
+      },
+      "source": [
+        "The loss factor (or kick factor) can be computed for an `Impedance` assuming a Gaussian bunch using: "
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 19,
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "ny2rlMzcv2JO",
+        "outputId": "be3c6548-2384-4f8c-b62e-c29a941456f5"
+      },
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "2174220483620.3323"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 19
+        }
+      ],
+      "source": [
+        "sigma = 15e-12 # RMS bunch length in [s]\n",
+        "imp.loss_factor(sigma) # in [V/C] or kick factor in [V/C/m] depanding on the impedance type."
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "cRutLRWH1lCm"
+      },
+      "source": [
+        "## WakeField class"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "kEPoIhtm13GM"
+      },
+      "source": [
+        "The `WakeField` class is based on a collection of `Impedance` and `WakeFunction` objects of different types. It usually corresponds to a single physical element which produces different types of wakes."
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 20,
+      "metadata": {
+        "id": "7OgEk9UF0Sjd"
+      },
+      "outputs": [],
+      "source": [
+        "from mbtrack2 import WakeField"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "j-kMUw2e3Ucu"
+      },
+      "source": [
+        "It can be initialized from a list of `Impedance` and `WakeFunction` objects of different types:"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 21,
+      "metadata": {
+        "id": "znp5x-0F3zR9"
+      },
+      "outputs": [],
+      "source": [
+        "wakefield = WakeField([wake, imp], name=\"my wake\")"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "HboeJjpj3728"
+      },
+      "source": [
+        "The different components can then be accessed through the `Z + component_type` attribute for `Impedance` objects and through the `W + component_type` attribute for `WakeFunction` objects:"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 22,
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 449
+        },
+        "id": "f81C5voS4clU",
+        "outputId": "c54f19ff-08f6-4373-d4bb-49210de8fdd3"
+      },
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 640x480 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {}
+        }
+      ],
+      "source": [
+        "ax = wakefield.Wlong.plot()"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "IVFFZQrP5VU4"
+      },
+      "source": [
+        "The list of components can be accessed and manipulated using the class methods: "
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 23,
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "wBzxcIoZ5fD4",
+        "outputId": "d4f0b366-7f63-44de-8ed7-bb6e3fd7ebea"
+      },
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "array(['Wlong', 'Zlong'], dtype='<U5')"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 23
+        }
+      ],
+      "source": [
+        "wakefield.components # show components list"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 24,
+      "metadata": {
+        "id": "qYNu_OqB5jAJ"
+      },
+      "outputs": [],
+      "source": [
+        "wakefield.drop(\"Zlong\") # remove component from WakeField"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 25,
+      "metadata": {
+        "id": "kcniAnUj5oG4"
+      },
+      "outputs": [],
+      "source": [
+        "wakefield.append_to_model(WakeFunction(variable, function, \"xdip\")) # add component to WakeField"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 26,
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "UKa-2pP254nw",
+        "outputId": "03d00081-7eb5-4ec0-a3dd-f88153eab5f7"
+      },
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "array(['Wlong', 'Wxdip'], dtype='<U5')"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 26
+        }
+      ],
+      "source": [
+        "wakefield.components # show components list"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The `Wakefield` representation also shows the `Wakefield` name field and its components:"
+      ],
+      "metadata": {
+        "id": "QszwkKakug_C"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "wakefield"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "7m0BNR1LuSnl",
+        "outputId": "47adc0b8-155f-4a1d-fad5-eff839843e89"
+      },
+      "execution_count": 27,
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "WakeField my wake with components:\n",
+              " ['Wlong', 'Wxdip']"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 27
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The `WakeField` class provide two static methods to add `WakeField` objects togather taking into account betatron function weighting:\n",
+        " * `WakeField.add_wakefields(wake1, beta1, wake2, beta2)`\n",
+        " * `WakeField.add_several_wakefields(wakefields, beta)`"
+      ],
+      "metadata": {
+        "id": "xB62sOgE7Ozn"
+      }
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "ed4RZP9J8O1u"
+      },
+      "source": [
+        "Many classes in **mbtrack2** inherit from the `WakeField` class, usually to provide an implementation of the most commonly used formulas. For example, the `CircularResistiveWall` class provide a resistive wall `WakeField` element for a circular beam pipe:"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 28,
+      "metadata": {
+        "id": "1J4JzO3K86be"
+      },
+      "outputs": [],
+      "source": [
+        "from mbtrack2 import CircularResistiveWall\n",
+        "\n",
+        "time = np.linspace(0, 200e-12, 10000) # Time points where the wake function will be evaluated in [s].\n",
+        "frequency = np.linspace(0.1e6, 50e9, 10000) # Frequency points where the impedance will be evaluated in [Hz].\n",
+        "length = 1 # Beam pipe length in [m].\n",
+        "rho = 1e-6 # Resistivity in [ohm.m].\n",
+        "radius = 10e-3 # Beam pipe radius in [m].\n",
+        "exact = True # If False, approxmiated formulas are used for the wake function computations.\n",
+        "\n",
+        "rw = CircularResistiveWall(time, frequency, length, rho, radius, exact)"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 29,
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 454
+        },
+        "id": "o2G8ZOTk9mXF",
+        "outputId": "739ea7e7-2f72-4ea3-de37-286577cd90ce"
+      },
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 640x480 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {}
+        }
+      ],
+      "source": [
+        "ax = rw.Zxdip.plot()"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 30,
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 465
+        },
+        "id": "RSA4XCyA9ytm",
+        "outputId": "8714009a-eaaf-4067-86b5-51f6efcb5791"
+      },
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 640x480 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {}
+        }
+      ],
+      "source": [
+        "ax = rw.Wxdip.plot()"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "D4NylVJj1sMj"
+      },
+      "source": [
+        "## Importing from external sources"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "CLh_PL8-7wbX"
+      },
+      "source": [
+        "In many cases, it is much more pratical (or needed) to import the impedance or wake function data from other sources. A few functions are provided to import data from other codes:\n",
+        " * `read_CST` to read CST text file format into an `Impedance` object.\n",
+        " * `read_IW2D` and `read_IW2D_folder` to read IW2D files into an `Impedance` object, a `WakeFunction` object or directly into a `WakeField` object.\n",
+        " * `read_ABCI` to read ABCI output .pot files into a `WakeField` object.\n",
+        " * `read_ECHO2D` to read ECHO2D text file format (after matlab post-processing) into a `WakeFunction` object."
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "6RiiszX2Ak9N"
+      },
+      "source": [
+        "The `Impedance` class also has a `to_wakefunction` method and the`WakeFunction` class has both a `to_impedance` and a `deconvolution` method. They can be used to go from `Impedance` to `WakeFunction` and vice versa using FFT. \n",
+        "\n",
+        "The `deconvolution` method can be used to compute a \"pseudo wake function\" from wake potential data (usually obtained from EM simulation). The computation uses a simple deconvolution method [3] and, of course, the frequency content (and thus the validity) of the ouput impedance or wake function data depends on the input wake potential."
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "## ImpedanceModel class"
+      ],
+      "metadata": {
+        "id": "BQ800xbP1oZa"
+      }
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The `ImpedanceModel` class is used to sum different `WakeField` elements taking into account betatron function weighting."
+      ],
+      "metadata": {
+        "id": "FPmHFHaM1vJo"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "from mbtrack2 import ImpedanceModel"
+      ],
+      "metadata": {
+        "id": "kNiAMwZl1ngT"
+      },
+      "execution_count": 31,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "model = ImpedanceModel(ring)"
+      ],
+      "metadata": {
+        "id": "WwK9iU3dEL7r"
+      },
+      "execution_count": 32,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The `ImpedanceModel` class uses the lattice information stored in `ring.optics` to access the betatron functions along the ring. So the full betatron functions must be available in `ring.optics` to be able to do the betatron weigthing of the transverse impedance and wake functions correctly."
+      ],
+      "metadata": {
+        "id": "ZRXOccgrFvxC"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "ring.optics.use_local_values"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "6a7vMPd8HPZc",
+        "outputId": "d8fc83b3-7b0c-4b84-9c55-b73042a23a17"
+      },
+      "execution_count": 33,
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "True"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 33
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "\n",
+        "The last command shows that for the ring `Synchrotron` object loaded here it is not the case and only local values are available. To make it available, the data must be added using the `load_from_AT` method from the `Optics` class to load at `Accelerator Toolbox` lattice file."
+      ],
+      "metadata": {
+        "id": "Xd6dyQsPHXta"
+      }
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The transverse components of the summed WakeField computed by the model is normalized to the local beta function used for tracking:\n",
+        "\n"
+      ],
+      "metadata": {
+        "id": "9VF0lIPHTtMq"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "ring.optics.local_beta"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "mTCAXhd2Tqhg",
+        "outputId": "7963ed51-13ff-472b-d8b8-ebffb1689941"
+      },
+      "execution_count": 34,
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "array([3, 2])"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 34
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "In this example, we will just assume that the beta function is constant along the ring:"
+      ],
+      "metadata": {
+        "id": "thL7QeSqJFVK"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "ring.optics.beta([0, 25, 50]) # H/V beta function at s = 0, 25, 50 m in [m]"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "44WQuORRJKLh",
+        "outputId": "48577df0-3d80-4279-fa03-64c0677fdfd8"
+      },
+      "execution_count": 35,
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "array([[3, 3, 3],\n",
+              "       [2, 2, 2]])"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 35
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "Then the different contributors to the `ImpedanceModel` must be added. This can be done in one of two ways, depending on the type of `WakeField` being added:\n",
+        "* If the `WakeField` is of the lumped type, usually corresponding to a geometric component at a given position in the lattice, then the `add` method is used. \n",
+        "* If the `WakeField` is of the distributed type, usually corresponding to a resistive wall component with an effective radius that already takes beta weighting into account, then the `add_global` method is used. \n",
+        "\n",
+        "In the latter case, the `WakeField` element is added only after the summation of all the lumped type elements added with the add method."
+      ],
+      "metadata": {
+        "id": "LCMDTicjJnfS"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "from mbtrack2 import Resonator"
+      ],
+      "metadata": {
+        "id": "g8xUsAhMJD7P"
+      },
+      "execution_count": 36,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "For this example, we will sum different `Resonator` elements:\n",
+        "\n"
+      ],
+      "metadata": {
+        "id": "Mroh5ms_PYWP"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "time = np.linspace(0,200e-12, int(1e5))\n",
+        "frequency = np.linspace(0.01e9, 50e9, int(1e5))\n",
+        "res1 = Resonator(time, frequency, Rs=10e3, fr=10e9, Q=60, plane=\"long\")\n",
+        "res2 = Resonator(time, frequency, Rs=30e3, fr=5e9, Q=40, plane=\"long\")\n",
+        "res3 = Resonator(time, frequency, Rs=10e6, fr=10e9, Q=60, plane=\"x\")\n",
+        "res4 = Resonator(time, frequency, Rs=5e6, fr=5e9, Q=40, plane=\"x\")\n",
+        "res5 = Resonator(time, frequency, Rs=10e6, fr=10e9, Q=60, plane=\"y\")\n",
+        "res6 = Resonator(time, frequency, Rs=5e6, fr=5e9, Q=40, plane=\"y\")\n",
+        "res7 = Resonator(time, frequency, Rs=5000, fr=20e9, Q=1, plane=\"long\")\n",
+        "res8 = Resonator(time, frequency, Rs=1e6, fr=20e9, Q=1, plane=\"x\") \n",
+        "res9 = Resonator(time, frequency, Rs=1e6, fr=20e9, Q=1, plane=\"y\") "
+      ],
+      "metadata": {
+        "id": "Kedgw4xgIaaf"
+      },
+      "execution_count": 37,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "Then we can add them to the `ImpedanceModel`object by giving the positions the elements along the lattice and a name:"
+      ],
+      "metadata": {
+        "id": "lDpykPiDSnZA"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "model.add(wakefield=res1, positions=[22, 44], name=\"res1\")\n",
+        "model.add(wakefield=res2, positions=[33], name=\"res2\")\n",
+        "model.add(wakefield=res3, positions=[12, 15, 36], name=\"res3\")\n",
+        "model.add(wakefield=res4, positions=[52], name=\"res4\")\n",
+        "model.add(wakefield=res5, positions=[4, 6, 20], name=\"res5\")\n",
+        "model.add(wakefield=res6, positions=[44, 53], name=\"res6\")"
+      ],
+      "metadata": {
+        "id": "jmo3VMqSSbMh"
+      },
+      "execution_count": 38,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "model.add_global(wakefield=res7, name=\"res7 global\")\n",
+        "model.add_global(wakefield=res8, name=\"res8 global\")\n",
+        "model.add_global(wakefield=res9, name=\"res9 global\")"
+      ],
+      "metadata": {
+        "id": "suUswpMhV80N"
+      },
+      "execution_count": 39,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "Finaly, the `compute_sum` method must be called when all the components have been added:"
+      ],
+      "metadata": {
+        "id": "OJD2JK-NVCjv"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "model.compute_sum()"
+      ],
+      "metadata": {
+        "id": "vX8UrUcrS9W3"
+      },
+      "execution_count": 40,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The result is a `sum` WakeField object which can be used for tracking or for plotting purpose:\n",
+        "\n"
+      ],
+      "metadata": {
+        "id": "fahi3ngwVQXS"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "model.sum"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "Z4zBdpzaVNBL",
+        "outputId": "9ec76c79-3a01-452c-ceba-e228d7c752a9"
+      },
+      "execution_count": 41,
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "WakeField sum with components:\n",
+              " ['Wlong', 'Wxdip', 'Wydip', 'Zlong', 'Zxdip', 'Zydip']"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 41
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "model.sum.Wxdip.plot()"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 482
+        },
+        "id": "E4qSNiuPXArM",
+        "outputId": "2261ef6c-a97d-4712-8db1-4f40f5409307"
+      },
+      "execution_count": 42,
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "<Axes: xlabel='time [s]', ylabel='$W_{xdip}$ [V/C/m]'>"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 42
+        },
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 640x480 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The contribution of each component can be analysed using the `plot_area` method:"
+      ],
+      "metadata": {
+        "id": "q3ZM6rtoXUAC"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = model.plot_area(Z_type=\"Zlong\", component=\"real\")"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 474
+        },
+        "id": "mh-1kvsHTCYf",
+        "outputId": "4e274599-bc99-489a-9491-1858e8912031"
+      },
+      "execution_count": 43,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 640x480 with 1 Axes>"
+            ],
+            "image/png": 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biylTpiAmJgbHjh1DYGAgRo4ciczMTANVaP6a+3dQXl6Ojh07Yvny5fDz8zNQVUTSwYBjRoYOHYrZs2dj3rx58PLyQlRUFAAgKSkJo0ePhrOzM3x9ffH000/j5s2bmtf98MMP6NWrFxwcHODp6YkRI0agrKwMAODh4QE/Pz/NY9++fXB0dLxrwHn33Xfh4+MDFxcX/OMf/8Drr7+O3r1769xeoVDg5Zdfho+PD+zt7TFo0CCcPHmyznZHjhxBaGgo7O3tce+992paCAAgPz8fU6ZMQdu2beHo6IhevXph69atjTmFFqu+z05zPjdbtmzBSy+9hN69e6Nr16746quvoFarceDAAVO9xVbP0H8H/fv3xwcffIDJkydDLpeb6m0RmUyrCzhr165FaGgoXF1d4erqisjISOzatUuzvqKiArNmzYKnpyecnZ0xYcIE5OTkmLDi1mXTpk2ws7PDkSNHsG7dOhQWFmLYsGHo06cPTp06hd27dyMnJwcTJ04EANy4cQNTpkzBjBkzcOHCBcTGxmL8+PEQQtS7/+joaEyePBlOTk46a9iyZQv+/e9/4/3338fp06fRvn17rF27Vm/dr776KrZv345NmzbhzJkzCAkJQVRUFAoKCrS2W7hwIT766COcPHkS3t7eGDNmjOaS1oqKCoSHh+O3335DUlISnn/+eTz99NP4888/G3MKLVbtz87y5csN+rkpLy+HUqmEh4eHMd+S5LTk3wGRpWl1Y3DatWuH5cuXo3PnzhBCYNOmTRg7dizOnj2LHj164JVXXsFvv/2G77//Hm5ubpg9ezbGjx+PI0eOmLr0VqFz585YsWKF5vm7776LPn364L333tMsW79+PQIDA3Hp0iWUlpaiqqoK48ePR1BQEACgV6/6xyr8+eefSEpKQnR0tN4aPvvsM8ycORPPPvssAOCtt97C3r17UVpaWu/2ZWVlWLt2LTZu3IjRo0cDqB7DsW/fPkRHR2PhwoWabRcvXowHH3wQQPWXQbt27bBjxw5MnDgRbdu2xYIFCzTbzpkzB3v27MG2bdtMOvZDKmp/dgz5uQGA1157DQEBARgxYkTLvgmJa8m/AyJL0+oCzpgxY7Se//vf/8batWtx/PhxtGvXDtHR0fjmm28wbNgwAMCGDRvQrVs3HD9+HPfee68pSm5VwsPDtZ6fO3cOMTExcHZ2rrPtlStXMHLkSAwfNgy9evVCVFQURo4ciccffxxt2rSps310dDR69ep117CQkpKCl156SWvZgAEDcPDgwXq3v3LlCpRKJQYOHKhZZmtriwEDBuDChQta20ZGRmp+9vDwQJcuXTTbqFQqvPfee9i2bRsyMzNRWVkJhULBSRsbqPZnp0Gfm+HDG/S5Wb58Ob799lvExsbC3t6+Rd+D1LXU3wGRJWp1XVS1qVQqfPvttygrK0NkZCROnz4NpVKp9X+BXbt2Rfv27XHs2DGd+1EoFCguLtZ6mKs7u45KS0sxZswYxMfHaz1SU1MxZMgQWFtbY9/u37Fr1y50794dn332Gbp06YK0tDSt/ZSVleHbb7/FzJkzjfl2GuWDDz7Ap59+itdeew0xMTGIj49HVFSUQQZbW4Lan50GfW727bvr5+bDDz/E8uXLsXfvXoSGhhr7LUlOS/wdEFmqVhlwEhMT4ezsDLlcjhdeeAE7duxA9+7dkZ2dDTs7O7i7u2tt7+vri+zsbJ37W7ZsGdzc3DSPwMDAFn4HrUffvn2RnJyMDh06ICQkROtR88tUJgMGDhyIpUuX4uzZs7Czs8OOHTu09vP9999DoVBg6tSpdz1mly5d6gwQrm/AcI1OnTppxh3UUCqVOHnyJLp376617fHjxzU/37p1C5cuXUK3bt0AVA9AHjt2LKZOnYqwsDB07NgRly5dumu9VFfDPjcyvZ+bFStW4J133sHu3bvRr18/U70VyTLE3wGRJWuVAadLly6Ij4/HiRMn8OKLL2LatGk4f/58k/e3aNEiFBUVaR4ZGRkGrLZ1mzVrFgoKCjBlyhScPHkSV65cwZ49e/Dss89CpVLhxIkTeG/5+zh16hTS09Px448/Ii8vTxMaakRHR2PcuHENugHpnDlzEB0djU2bNiE1NRXvvvsuEhISdE4D7+TkhBdffBELFy7E7t27cf78eTz33HMoLy+v02L09ttv48CBA0hKSsL06dPh5eWlmTCwc+fO2LdvH44ePYoLFy7gn//8JwegN1GDPjfvvafzc/P+++/jzTffxPr169GhQwdkZ2cjOztb5zgsqqu5fweVlZWaVp/KykpkZmYiPj4ely9fNvE7IzKOVjcGBwDs7OwQEhICoLpP+uTJk/j0008xadIkVFZWorCwUKsVJycnR+88D3K53GIvkwwICMCRI0fw2muvYeTIkVAoFAgKCsKoUaNgZWUFV1dXHPrjMD5Z9TmKi4sRFBSEjz76SDPYF6geU3P48GHs3bu3Qcd86qmncPXqVSxYsAAVFRWYOHEipk+frvdqpuXLl0OtVuPpp59GSUkJ+vXrhz179tQZT7B8+XLMnTsXqamp6N27N3799VfY2dkBAN544w1cvXoVUVFRcHR0xPPPP49x48ahqMi0k95JUYM+N4cO4ZNPPqn3c7N27VpUVlbi8ccf19rv4sWLsWTJEhO8I+lp7t9BVlYW+vTpo9nfhx9+iA8//BD3338/YmNjTfSuiIxHJiRwTeGwYcPQvn17fPrpp/D29sbWrVsxYcIEANVfvl27dsWxY8caPMi4uLgYbm5uKCoqgqurq9a6iooKpKWlITg42HIGRCpvA7YOLXqIBx98EH5+fti8eXOLHoeIms4if/+RpOj7/r5Tq2vBWbRoEUaPHo327dujpKQE33zzDWJjY7Fnzx64ublh5syZmD9/Pjw8PODq6oo5c+YgMjKSV1C1IuXl5Vi3bh2ioqJgbW2NrVu3Yv/+/di3b5+pSyMiIgvR6gJObm4unnnmGdy4cQNubm4IDQ3Fnj17NHOfrFy5ElZWVpgwYQIUCgWioqKwZs0aE1ctcQZuxJPJZPj999/x73//GxUVFejSpQu2b9/OOVCIiMhoJNFFZWjsorpDZRlgp3tmYiKyDBb5+48kpTFdVK3yKioiIiKi5mDA0cECG7aIyMLx9x6ZEwacO9ja2gKoHihrMfhLjYjwv997Nb8HiaSs1Q0yNjVra2u4u7sjNzcXAODo6KhzgjqzUakABD8KRJZKCIHy8nLk5ubC3d0d1tbWpi6JqNn4rVaPmkkDa0KO2auqAGw4oJDI0rm7u+udNJVIShhw6iGTyeDv7w8fHx8olUpTl9PyMv4EArvdfTsiMlu2trZsuSGzwoCjh7W1tWX8g7dSAbwklIiIzAgHGRMg1KaugIiIyKAYcIhXURERkdlhwCG24BARkdlhwCEAbMEhIiLzwoBDbMEhIiKzw4BDDDhERGR2GHCIAYeIiMwOAw4x4BARkdlhwCEGHCIiMjsMOMSAQ0REZocBhzjRHxERmR0GHGLAISIis8OAQ+BEf0REZG4YcIhjcIiIyOww4BC7qIiIyOww4BBbcIiIyOww4BADDhERmR0GHAIHGRMRkblhwCG24BARkdlhwCEGHCIiMjsMOMSrqIiIyOww4BA4BoeIiMwNAw6xBYeIiMwOAw4x4BARkdlhwCEOMiYiIrPDgEMMOEREZHYYcAgcZExEROaGAYfYgkNERGaHAYcYcIiIyOww4BCvoiIiIrPDgEPgGBwiIjI3DDjEFhwiIjI7DDgEtuAQEZG5YcAhDjImIiKzw4BDbMAhIiKzw4BDAATH4RARkVlhwKHqcMOAQ0REZqTVBZxly5ahf//+cHFxgY+PD8aNG4eUlBStbYYOHQqZTKb1eOGFF0xUMREREbU2rS7gxMXFYdasWTh+/Dj27dsHpVKJkSNHoqysTGu75557Djdu3NA8VqxYYaKKzYEAB+IQEZE5sTF1AXfavXu31vONGzfCx8cHp0+fxpAhQzTLHR0d4efnZ+zyzBO7qIiIyMy0uhacOxUVFQEAPDw8tJZv2bIFXl5e6NmzJxYtWoTy8nKd+1AoFCguLtZ6UG0MN0REZF5aXQtObWq1GvPmzcPAgQPRs2dPzfInn3wSQUFBCAgIQEJCAl577TWkpKTgxx9/rHc/y5Ytw9KlS41VtvQIdlEREZF5kQnRevsmXnzxRezatQuHDx9Gu3btdG538OBBDB8+HJcvX0anTp3qrFcoFFAoFJrnxcXFCAwMRFFREVxdXVukdkk5+G/g/lcBa1tTV0JERKRTcXEx3NzcGvT93WpbcGbPno2dO3fi0KFDesMNAERERACAzoAjl8shl8tbpE7zwDE4RERkXlpdwBFCYM6cOdixYwdiY2MRHBx819fEx8cDAPz9/Vu4OnPGgENEROaj1QWcWbNm4ZtvvsHPP/8MFxcXZGdnAwDc3Nzg4OCAK1eu4JtvvsFDDz0ET09PJCQk4JVXXsGQIUMQGhpq4uolildRERGRmWl1AWft2rUAqifzq23Dhg2YPn067OzssH//fnzyyScoKytDYGAgJkyYgDfeeMME1ZoTBhwiIjIfrS7g3G3Mc2BgIOLi4oxUjaVguCEiIvPS6ufBISNgFxUREZkZBhwCW3CIiMjcMOAQJ/ojIiKzw4BD1dhFRUREZoQBh8DWGyIiMjcMOMQuKiIiMjsMOERERGR2GHAIvBcVERGZGwYc+hsDDhERmQ8GHOJEf0REZHYYcOhvDDhERGQ+GHCIiIjI7DDgELuoiIjI7DDgENg9RURE5oYBh9h6Q0REZocBh6ox5BARkRlhwCGwi4qIiMwNAw79jSGHiIjMBwMO8SoqIiIyOww4hOrWGwYcIiIyHww4VI0tOEREZEYYcIjhhoiIzA4DDv2NIYeIiMwHAw6B4YaIiMwNAw4BQs1uKiIiMisMOPQ3BhwiIjIfDDjE1hsiIjI7DDhUjSGHiIjMCAMOgd1TRERkbhhw6G8MOUREZD4YcIj3oiIiIrPDgEOQ4r2oblfdNnUJRETUijHgUDWJteAUKYpMXQIREbViDDgkuXADABVVFaYugYiIWrEmBZz09HSIer4UhRBIT09vdlFkCtIKOQqVwtQlEBFRK9akgBMcHIy8vLw6ywsKChAcHNzsosjYpBVuAECpVpq6BCIiasWaFHCEEJDJZHWWl5aWwt7evtlFkZEJSK6bigGHiIj0sWnMxvPnzwcAyGQyvPnmm3B0dNSsU6lUOHHiBHr37m3QAskYpHcVlVLFgENERLo1KuCcPXsWQHULTmJiIuzs7DTr7OzsEBYWhgULFhi2Qmp5Emu9AYAqdZWpSyAiolasUQEnJiYGAPDss89i1apVcHFxaZGiyAQkFnJUQqWzq5SIiKjRY3CUSiXS09ORnZ3dEvWQSUgr3ACAWqihFmpTl0FERK1UowOOra0tEhISWqIWMiWJteAw4BARkT5Nuopq6tSpiI6ONnQtZCpCeoOM1X//R0REVJ9GjcGpUVVVhfXr12P//v0IDw+Hk5OT1vqPP/7YIMWRsUgr3ADVA93ZgkNERLo0qQUnKSkJffv2hYuLCy5duoSzZ89qHvHx8c0qaNmyZejfvz9cXFzg4+ODcePGISUlRWubiooKzJo1C56ennB2dsaECROQk5PTrONaPIl1UdUMMiYiIqpPk1pwaq6maglxcXGYNWsW+vfvj6qqKvzrX//CyJEjcf78eU1L0SuvvILffvsN33//Pdzc3DB79myMHz8eR44cabG6zJoEg4IAW3CIiEi3JgWcGufPn0d6ejoqKys1y2QyGcaMGdPkfe7evVvr+caNG+Hj44PTp09jyJAhKCoqQnR0NL755hsMGzYMALBhwwZ069YNx48fx7333tvkY1su6Y3BEUJwDA4REenUpIBz9epVPPbYY0hMTIRMJtN0FdTMSaJSqQxWYFFREQDAw8MDAHD69GkolUqMGDFCs03Xrl3Rvn17HDt2rN6Ao1AooFD87+aMxcXFBqvPLAghuVYctVCzi4qIiHRq0hicuXPnIjg4GLm5uXB0dERycjIOHTqEfv36ITY21mDFqdVqzJs3DwMHDkTPnj0BANnZ2bCzs4O7u7vWtr6+vjrn5lm2bBnc3Nw0j8DAQIPVaB6kFxQYcIiISJ8mBZxjx47h7bffhpeXF6ysrGBlZYVBgwZh2bJlePnllw1W3KxZs5CUlIRvv/22WftZtGgRioqKNI+MjAwDVWhOpBUWBNhFRUREujUp4KhUKs1tGry8vJCVlQUACAoKqnPFU1PNnj0bO3fuRExMDNq1a6dZ7ufnh8rKShQWFmptn5OTAz8/v3r3JZfL4erqqvWgWiTYRcXLxImISJ8mBZyePXvi3LlzAICIiAisWLECR44cwdtvv42OHTs2qyAhBGbPno0dO3bg4MGDCA4O1lofHh4OW1tbHDhwQLMsJSUF6enpiIyMbNaxLZu0Ag7DDRER6dOkQcZvvPEGysrKAABvv/02HnnkEQwePBienp747rvvmlXQrFmz8M033+Dnn3+Gi4uLZlyNm5sbHBwc4ObmhpkzZ2L+/Pnw8PCAq6sr5syZg8jISF5B1WTSa8EBGHKIiEi3JgWcqKgozc8hISG4ePEiCgoK0KZNm2bf3Xnt2rUAgKFDh2ot37BhA6ZPnw4AWLlyJaysrDBhwgQoFApERUVhzZo1zTquRZNouOEgYyIi0qVZ8+AA0HzJ1FzGbaj96WNvb4/Vq1dj9erVBjkmAZLrooIaQmI1ExGR8TRpDA4AREdHo2fPnrC3t4e9vT169uyJr776ypC1kdFIr4uKg4yJiEifJrXgvPXWW/j44481Y1+A6kvHX3nlFaSnp+Ptt982aJHUwiQWboDqgMMWHCIi0qVJAWft2rX48ssvMWXKFM2yRx99FKGhoZgzZw4DjuRI71YNanAMDhER6dakLiqlUol+/frVWR4eHo6qqqpmF0VGJsGgIIRgwCEiIp2aFHCefvppzdVOtX3xxRd46qmnml0UmYDEwgJnMiYiIn2afBVVdHQ09u7dq5l75sSJE0hPT8czzzyD+fPna7b7+OOPm18lGYHEAg5bcIiISI8mBZykpCT07dsXAHDlyhUA1bds8PLyQlJSkma75s6JQ6SLAAcZExGRbk0KODExMYaug0xJCEBil1yzBYeIiPRp8jw4ZE6E1HqooBZqzoNDREQ6MeCQJLGLioiI9GHAob+voJJWWGDAISIifRhwCFILNwDH4BARkX4MOPT3IGNphQW24BARkT4MOARJ3qqBg4yJiEiPBl8mXnvyvrvh5H7U0nizTSIi0qfBAefs2bMN2o6T+0mQVLuoJFYzEREZT4MDDif3M2fS66JiwCEiIn2afC8qADh//jzS09NRWVmpWSaTyTBmzJhmF0ZGJrWwIMAuKiIi0qlJAefq1at47LHHkJiYCJlMpvk/6ZruKZVKZbgKqeVJcB4cNTjImIiIdGvSVVRz585FcHAwcnNz4ejoiOTkZBw6dAj9+vVDbGysgUuklie9MTgMN0REpE+TWnCOHTuGgwcPwsvLC1ZWVrCyssKgQYOwbNkyvPzyyw0ekEzUVEIIhhwiItKpSS04KpUKLi4uAAAvLy9kZWUBAIKCgpCSkmK46sg4JNhFBXAMDhER6dakFpyePXvi3LlzCA4ORkREBFasWAE7Ozt88cUX6Nixo6FrpJYm1JLrouJVVEREpE+TAs4bb7yBsrIyAMDbb7+NRx55BIMHD4anpye+++47gxZIVB+1ULMFh4iIdGpSwImKitL8HBISgosXL6KgoABt2rThRH+SJL0uKt5sk4iI9GnWPDi1eXh4GGpXZGxSnclYYqGMiIiMp8k32/zjjz8wdepUREZGIjMzEwCwefNmHD582GDFkTFJKyzwKioiItKnSQFn+/btiIqKgoODA86ePQuFQgEAKCoqwnvvvWfQAslI2IJDRERmpEkB591338W6devw5ZdfwtbWVrN84MCBOHPmjMGKIyOR4GXiovpeDURERPVqUsBJSUnBkCFD6ix3c3NDYWFhc2siU5BaC45gCw4REenWpIDj5+eHy5cv11l++PBhzoMjSdILCmrBe1EREZFuTQo4zz33HObOnYsTJ05AJpMhKysLW7ZswYIFC/Diiy8aukZqaRLtomILDhER6dKky8Rff/11qNVqDB8+HOXl5RgyZAjkcjkWLFiAOXPmGLpGanHSG8/CeXCIiEifRgccpVKJUaNGYd26dVi4cCEuX76M0tJSdO/eHc7Ozi1RI7U0CQYFtuAQEZE+jQ44tra2SEhIAADY2dmhe/fuBi+KjE16XVQA2IJDREQ6NWkMztSpUxEdHW3oWsiUJDZgVy3UUENaNRMRkfE0aQxOVVUV1q9fj/379yM8PBxOTk5a6z/++GODFEdGIsFbNaiFWoqNTkREZCRNCjhJSUno27cvAODSpUta63izTSmSZlLgGBwiItKlSQEnJibG0HWQKUn0MnHOg0NERLo0+WabZGYk1kXFmYyJiEgfBhyS3ABjoHoMDgMOERHpwoBDkOJl4gKc6I+IiHRjwKFqEgwLDDhERKQLAw5JcpAxu6iIiEifZgecI0eOQKFQGKIWMhnpzYPDq6iIiEifZgec0aNHIzMz0xC1AAAOHTqEMWPGICAgADKZDD/99JPW+unTp0Mmk2k9Ro0aZbDjWyQJtuCwe4qIiPRpdsAx9BdNWVkZwsLCsHr1ap3bjBo1Cjdu3NA8tm7datAaLJLEAgMvEyciIn2aNNFfSxo9ejRGjx6tdxu5XA4/Pz8jVWQJJNiCwy4qIiLSo9ktOP/5z3/g6+triFoaLDY2Fj4+PujSpQtefPFF5Ofn691eoVCguLhY60G1CEivBYeXiRMRkR7NDjhPPvlknZtttqRRo0bh66+/xoEDB/D+++8jLi4Oo0ePhkql0vmaZcuWwc3NTfMIDAw0Wr3SIL2gwKuoiIhIn1bXRXU3kydP1vzcq1cvhIaGolOnToiNjcXw4cPrfc2iRYswf/58zfPi4mKGnNokOMgY4EBjIiLSTfLz4HTs2BFeXl64fPmyzm3kcjlcXV21HlSb9C4TZwsOERHpI/mAc/36deTn58Pf39/UpUiXxMINUN16w0HGRESkS6vroiotLdVqjUlLS0N8fDw8PDzg4eGBpUuXYsKECfDz88OVK1fw6quvIiQkBFFRUSasWuqk14LDQcZERKRPgwPOL7/80uidP/jgg3BwcGjUa06dOoUHHnhA87xm7My0adOwdu1aJCQkYNOmTSgsLERAQABGjhyJd955B3K5vNH10d8kOAaH8+AQEZE+DQ4448aNa9SOZTIZUlNT0bFjx0a9bujQoXr/z3zPnj2N2h81kMRaQwQYcIiISLdGjcHJzs6GWq1u0MPR0bGlaiaDk2ALDruoiIhIjwYHnGnTpjWqu2nq1Km8WkkqhPTG4PAqKiIi0qfBXVQbNmy46zZqtRrXr19H+/btsXbt2mYVRkYk1JBiCw6voiIiIl2adBXVhg0b8N133+Gvv/6Cq6srBg8ejFdeeQU2NjYIDg7WO6swtUbSCjfA34OMJdbqRERExtOoMTgqlQpjx47FCy+8AEdHRzz66KMICwvD999/j27dumH37t0tVSe1NIm1hvAqKiIi0qdRLTgrV67EyZMnkZCQgC5dumiWq9VqfPzxx3j++ecNXiAZgQTH4HCQMRER6dOogLNx40asWLFCK9wAgJWVFRYsWAAhBF577TWDFkjGIMGrqISAGtJqdSIiIuNpVBfVlStXEBERoXP9woULoVbzS0dyJNiCo4aaLThERKRTowKOk5MT8vLydK6Pj4/HjBkzml0UGZs0W3A4BoeIiHRpVMC5//77sW7dunrXZWdnY/Lkydi0aZNBCiMjEpBcCw7H4BARkT6NCjiLFy/G9u3bMW3aNCQlJaGiogJZWVn4z3/+g/79+8PLy6ul6qQWJb2gwBYcIiLSp1EBJzQ0FLt27cKRI0cQFhYGJycnBAYG4uWXX8aUKVOwdetW/l+1FAkhvcvEOdEfERHp0eiJ/oYMGYJDhw4hPT0daWlpcHV1RWRkJDw8PFBWVobFixe3RJ3UoqQ3BkctOMiYiIh0a9JMxpMnT0ZMTAzuvfdereVOTk74f//v/xmkMDIiCV5FxbuJExGRPo3qoqrh5uaGl19+uc7y/Px8jBgxotlFkbFJLyhwDA4REenTpICzefNm7Nu3D+vXr9csu3DhAgYMGAAnJyeDFUdGIsUWHMExOEREpFuTuqjc3d2xfft2DB06FD179sStW7cwadIkzJw5Ex988IGha6QWJ8ExOJzoj4iI9GhwwBk/fjx69+6tefTq1Quff/45HnroIVRUVOCzzz7Ds88+25K1UksRakm24LCLioiIdGlwwOnUqRP++OMPfP7557h58ybatGmDsLAwCCHw5JNPom/fvlAqlbC1tW3JeqnFSCss8DJxIiLSp8EBp3bXU2ZmJuLj4xEfHw9PT0/ExMQgOjoaNjY26Nq1K86dO9cixVILkeI8OGzBISIiPZo0Bqdt27Zo27YtHn74Yc2y0tJSxMfHM9xIkvQGGXMMDhER6dOkgFMfZ2dnDBo0CIMGDTLULslYhPQGGfMqKiIi0qfBl4knJCRArW74F0pycjKqqqqaVBQZm7TCDcAuKiIi0q/BAadPnz7Iz89v8I4jIyORnp7epKLIyCQ4Dw67qIiISJ8Gd1EJIfDmm2/C0dGxQdtXVlY2uSgyMol2UbEFh4iIdGlwwBkyZAhSUlIavOPIyEg4ODg0qSgyNgleRcXLxImISI8GB5zY2NgWLINMSopdVELNgENERDo16V5UZG4k2kUlsVBGRETGw4BD0pzoDxyDQ0REujHgEKrH4Ji6hsbhPDhERKQPAw5J8ioqNdRswSEiIp0MMpPxqFGjEBYWhtDQUISGhqJbt26wsTHYJMnU0iR4N3EOMiYiIn0M0oIzbNgwXLx4EYmJifjXv/4FNzc3DB06FNHR0YbYPbU4CY7B4SBjIiLSwyDNLFu3bsXZs2c1z2NjY/Hrr78iJSUFb775Jt555x1DHIZaigS7qDjImIiI9DFIC46DgwNSU1M1z4cOHYqDBw/i/fffx2+//WaIQ1CL4jw4RERkXgzSgrNmzRpMnDgR9913H3r37o3U1FTY2tpCJpNBqVQa4hDUkqTYgsOrqIiISA+DtOD07t0bJ0+exNChQ5Geng5/f3/89ttvKC8vx+OPP26IQ1CLkmALDm+2SUREehikBef8+fP4+eef4e7ujgcffBC9evVCmzZtAACLFy82xCGoJQm1NAcZS6zViYiIjMcgLTiPPvooHB0dUVZWhujoaAwfPhydOnUyxK7JaKQVFthFRURE+hikBcfPzw9z587VWqZSqQyxa2ppNd08EgsLKqFiwCEiIp0M0oIzfPhwbNiwQWuZtbW1IXZNLa0mJEhsPAsvEyciIn0M0oJz6tQpbNy4EW+//Tb69++vmdV4zJgxhtg9tSRNsJFWWGAXFRER6WOQgFMz101JSQmSkpKQlJSEAwcOMOBIQk0XlbQCjlrwKioiItLNIAFHqVRiy5YtyMvLQ/fu3TFz5kxYWfE+npIg0S4q9d//ERER1ccgKWTy5Mk4deoUHBwcsHPnTvTt2xeXLl1q0r4OHTqEMWPGICAgADKZDD/99JPWeiEE3nrrLfj7+8PBwQEjRozQmkWZGkmig4zZRUVERPoYpAXn6tWr2L59u+Z5fHw8/vGPf+DQoUON3ldZWRnCwsIwY8YMjB8/vs76FStWYNWqVdi0aROCg4Px5ptvIioqCufPn4e9vX2z3odlkugYHPBmm0REpJtBAo6LiwsuX76MkJAQANUzG9+6datJ+xo9ejRGjx5d7zohBD755BO88cYbGDt2LADg66+/hq+vL3766SdMnjy5aW/AkgnpjsFRCU5FQERE9TNIwPn8888xduxYPPTQQ+jevTsuXLiAoKAgQ+xaS1paGrKzszFixAjNMjc3N0RERODYsWM6A45CoYBCodA8Ly4uNnhtkqXp5pFOwKnpmuJl4kREpItBxuCEhobizJkz6NevH/766y906tQJ27ZtM8SutWRnZwMAfH19tZb7+vpq1tVn2bJlcHNz0zwCAwMNXptkaQYZS2c8iybgSKzViYiIjKdZLTjz5s3TzHnTs2dPTJo0yVB1GdSiRYswf/58zfPi4mKGHA3pDTKuCTbsoiIiIl2aFXCGDRuGhIQE7Nq1C8nJyZDJZOjRowdCQ0NbZKI/Pz8/AEBOTg78/f01y3NyctC7d2+dr5PL5ZDL5QatxWxIcAxOzeXhbMEhIiJdGtVFNWXKFCQlJWmeP/roo3jjjTewbds2JCcn49SpU1i4cCH8/f1x8OBBgxcbHBwMPz8/HDhwQLOsuLgYJ06cQGRkpMGPZxEk3EXFy8SJiEiXRrXgfPfddzh48CAOHDiAnj171lkvl8vRtWtX9OvXr8kFlZaW4vLly5rnaWlpiI+Ph4eHB9q3b4958+bh3XffRefOnTWXiQcEBGDcuHFNPiYBUhpkXNNyw4n+iIhIl0Z3UfXu3RvDhg3DwYMH64Sc3NxctG3bFlVVVU0u6NSpU3jggQc0z2vGzkybNg0bN27Eq6++irKyMjz//PMoLCzEoEGDsHv3bs6B01RSbsFRS6dmIiIyrkZ1UclkMmzcuBHDhg3DsGHDkJiYWGeb5n7pDB06FEKIOo+NGzdqanj77beRnZ2NiooK7N+/H/fcc0+zjmnRJDgGp2ZwMVtwiIhIl0YFHCEErK2t8c0332D48OH1hhyZTGbQAqmFSfBeVDVdVBxkTEREujRpHhwrKyts2bIFI0aM0FxJRVIlvVs11LTc8DJxIiLSpdFdVJoX/h1yHnzwQQwfPpwhR6qkPAZHQjUTEZFxNbqLSuvFVlb473//qwk58fHxhqyNjEGCAYddVEREdDeNCji//fYb3NzctHfwd8gZOXIkJkyYYNDiyAiE9GYyrumaYhcVERHp0qiAM3r06HpnBLayssLmzZs1d/gmCZHgIGPebJOIiO7GIDfbBP7XknPs2DFD7ZKMQnotODUBR6VmCw4REdXPYAEHqB6EPGDAAEPuklqahMfgcJAxERHpYtCAQxIk4TE4nOiPiIh0YcCxdFIcgwPeqoGIiPRjwLF0QnoT/dV0UfEqKiIi0oUBx9JJcAxOlbr6Zq68ioqIiHRhwLF0Egw4NcGGLThERKQLA46lk2DA0Qwy5hgcIiLSgQHH4knvKqqaYMOrqIiISBcGHEsnwRYczd3EOdEfERHpwIBj6WpCgpQCTs1MxhyDQ0REOjDgWLyaLirpXJFU03LDu4kTEZEuDDiWToIzGde04FSJKhNXQkRErRUDjqWrCTYSGs9Su2uK96MiIqL6MOBYOikOMq5VK8fhEBFRfRhwLJ0EAw5bcIiI6G4YcCydBAOOVguOhLrWiIjIeBhwLJ3mMnHpBIXaLTjsoiIiovow4Fg6Cbbg1G61YQsOERHVhwHH0mkCjnTmlOEgYyIiuhsGHEtXE2wk1BJSe/4bBhwiIqoPA46lE9K9VQPALioiIqofA46lk/gYHM5mTERE9WHAsXSagCOdlhDOg0NERHfDgGPpJHg3cV5FRUREd8OAY+k096KSTsCp3S3FLioiIqoPA46lExKc6K/2GBw1Aw4REdXFgGPpai4Tl1IXlWAXFRER6ceAY+lqAoKEWkJqBxx2URERUX0YcCydBOfBqd0txS4qIiKqDwOOpdO04Einq4cBh4iI7oYBx9JJcaI/wUHGRESkHwOOpRPSbsHhvaiIiKg+DDiWToKDjGsHHKVaacJKiIiotWLAsXQSvFUDx+AQEdHdMOBYOikOMhYMOEREpB8DjqXTtNyI/03618qxi4qIiO6GAcfS1W4BkUhrSO1Qo1Qx4BARUV2SDDhLliyBTCbTenTt2tXUZUlT7a4piXRTsQWHiIjuxsbUBTRVjx49sH//fs1zGxvJvhXTqj3/jVRacGq12jDgEBFRfSSbCmxsbODn52fqMqRP6l1UDDhERFQPSXZRAUBqaioCAgLQsWNHPPXUU0hPTzd1SdJUu1tKIrMZ1+6iqlRVmrASIiJqrSTZghMREYGNGzeiS5cuuHHjBpYuXYrBgwcjKSkJLi4udbZXKBRQKBSa58XFxcYst3WTYAtOpbqy3p+p8dRCjYLSYuSVVCK/VIHi20oUK9SoqKyCQqWGWl19ZZ21lQx2Nlawt7WGo50N3Oxt4e5oCy9nObxcHCG3tTPxOyEi0ibJgDN69GjNz6GhoYiIiEBQUBC2bduGmTNn1tl+2bJlWLp0qTFLlA4JBhxeRdV4KlUVruQVIOVGCS7mliAttxx/5Zcho1CB4gpZs/ZtbSXg62yNtu4OaNfGAR28nNDB2wkhXi7o5OMKezuGHyIyPkkGnDu5u7vjnnvuweXLl+tdv2jRIsyfP1/zvLi4GIGBgcYqr3Wr3UUlkbBQO9QoVAo9W1qu25UVOJueh1PXCnA2vRDxGcW4dbu+HunmhRsAUKllyCpWI6u4DCfTywDc1KyztRYI8bJHV38X9Gzrhp4B7ujZtg2c7OXNPi4RkT5mEXBKS0tx5coVPP300/Wul8vlkMv5C7VeEmzBqT3uhmNw/ifrVgFiU3IQl3ITx9KK7miZMc1wO6VKhgs5ClzIUWBHfHXwsbUW6O7nhD7tPdCvQxv079AGvm51u5aJiJpDkgFnwYIFGDNmDIKCgpCVlYXFixfD2toaU6ZMMXVp0iOkNw9O7XE3lt6Cc6PwFnYlZWJfcjZOXLsNtagJMs1vmWkpSpUM5zLLcS6zHBuPXQcAdPaW496Onri3kyciO3rBw9nRxFUSkdRJMuBcv34dU6ZMQX5+Pry9vTFo0CAcP34c3t7epi5Nemp3S0nkkuvarTaWGHDKKyuwPzkdv5zLROylUlSpa0KNZC+KRGqeAql5Wdh8IgtWMqBXWycMCvHC4Hu8Ed7eC7Y21qYukYgkRpIB59tvvzV1CeZDayZj6XVRWVLASc3Jxg8nM/Dj2VzkldUslW6o0UUtgHPXy3DuehlWx/4FF3sZhnTyxJAu3ri/iw/83JxNXSIRSYAkAw4ZUO1WG5U0Ak7tUFNRVWHCSlqeWqhxKCUNW06k48DF0lpdUJajpELgt+Sb+C35JmSyCwgNcMIDXX0wvJsPerXzMnV5RNRKMeBYOq1BxtLroqpQmWfAUSgV2JlwGZuOXEdCVs3fkeWFmzsJAZzLLMO5zDR8ciANAa42GNHNF8O7+yCyky/s2JVFRH9jwLF0tcfgSOCKpCp1FarE/0KZubXglCtuY/vpS9hwOBNXC4Spy2n1soqr8PWJTHx9IhMu9jI80Nkbw7v74IGufnB14JWTRJaMAcfS1W7BkcA8OHeOubldddtElRhWmaIc206mYv0f15FRZOpqpKmkQuCXxFz8kpgLO+tk3NfJHQ9298WIbv7wdeNVWUSWhgHH0mm14LT+gHNnoJF6wKmoVOD70xfxZdx1pBeauhrzUakSiL10C7GXbuHNny+ib6ALHuzui5E9/BDs7Wbq8ojICBhwLJ1aWpeJ39klVaYs07Fl61alrsIvZy5gTWw6Lt+8+/bUdGoBnEovwan0EizbfRldfR3wYHdfRPXwQ892nqYuj4haCAOOpZPYGJw7W2yUaiWUaiVsrWxNVFHjCCFw4MIFfH7wL8Rfl8bd283NxZzbuJhzDZ/FXEO7NnZ4sJsvonr4YkCwD6ysWu8EiUTUOAw4lk7iXVQAUFZZBnd7d+MX00hn/rqK1TGpOHBRGpfjW4Lrtyqx4WgGNhzNgIejNUZ09caI7n4YfI8vHOz465FIyvgv2NLVbrWpav2T5pVXlddZVqIsadUB59rNG1gbex7bz5TXmnWYWpuCchW2ncnGtjPZcLCVYXCIJx7s7ocHuvrAy8XB1OURUSMx4Fg6iXVR1TfmprSy1ASV3F1heTE2HEnEhiMFKK6wAuexkY7bSoG9F25i74WbsLaSoU+gC0Z09cXw7r7o7MtBykRSwIBj6aTWgqOs24JTXFlsgkp0U6qV+OlMAlbHZOJavjUYbKRNpRY49VcxTv1VjOV7UtHB0x7Du/jggW4+iAjmfbKIWisGHEtXO+BI4L5Opcq6rTVFitYzcczhK+ex+sBVHLsqA8AvPnN0Lb8C0UfTEX00HS72VhjcyQsPdPXB/V284ePK+XaIWgsGHEtXu9VGAi049XVHFSoKjV/IHa7ezMC62GRsP1MFlZpX4liKkgo1fk/Oxe/JuZDJgF4Bzrj/nuqw07e9J6/KIjIhBhxLV7vVRgK3PSipLKmzLL8i3wSVVCu8XYj/Ho/H+j+KUFBuA4BfaJZKCCAhsxQJmaX4LOYq3BysMTjEC0M6e2HwPd7wd3cydYlEFoUBx9JVSWsMTlFl3e6o/NvGDzhKlRK/JZzGuthsXMyxBf8p0Z2KbquwMzEHOxNzAAD3+DhicIgXBt3jjYhgLzjK+Zkhakn8F2bparfaKFv/bQ/qG2+TV55n1BqOpSXgq0NXceCCLQBpTDBIpncptxyXcqvH7tjZWKFvoCsGdvLEfSFe6N3eE9bsziIyKAYcS1ZVCaDWHasl0EV1q+JWnWXZ5dlGOfaV/DRsPJKIH/4Eblcx2FDTVVapcTytEMfTCvHR/itwkVuhf4c2iOzoiXs7eaJHQBuO3yFqJgYcS3bnrMD1XILd2hRUFNRZllma2aLHvFmWh22nT+K/hxXIKrZr0WORZSpRqHEwJR8HU6q7W13trTEguA0iOnggoqMnerRtwxYeokZiwLFkyjtabCTQRVXfeJsiRRGKFEVwkxt2ArZyZTl+SfoD3x4tQnyGEwCGGzKO4goV9l+4if0Xqu/E6iK3Qt8gd/QP8kC/Dh4IC2zDW0kQ3QX/hViyO1tsKlt3C065shwlyrpXUQFA6q1U9PPrZ5DjVKmrsOdSLHacysGBZHcIwatfyLRKFGrEXSpA3KXqFkw7ayv0CHBGvyAPhAe1Qd/2beDjxttJENXGgGPJ7myxaaW3PKihb6zNhYILzQ44QgjEXjuE386l4bdTHrhd5d6s/RG1lEqVGmczinE2oxhfHr4GAAhsY48+ge7Vj/Zt0L2tO+xsOIs2WS4GHEtWJ+DUvc9Ta5JVmqVz3emc03i6+9NN3vfhjMPYk3QBe097IKfUu8n7ITKVjFsVyLiVjV8Sqv9HwM7GCt39nRHW1h1hgW4Ia+eOjj4ukMk4locsAwOOJbuzxaaVt+CkF6frXHf8xnEoVArIreWN2uehjEM4cPEsjib6IDU3oLklErUalVVqxGcUIz6jGDhevczF3ho9/F0R2tYNPf9+BHs7M/SQWWLAsWR3ttgo6h/f0lqkFaXpXFemLMOutF0YFzLurvupUldh77W9OHT1FC5dDsaZayEGrJKo9SqpUOF42i0cT/vfdAsucmt09XdBD39XdPd3RY8AN3T2c2X3FkkeA44lu7PFRlkOqJSAdeuc4+XSrUt616+OX40HAh/QeTVVXnkefrr8E05nJqDkRhiOXApviTKJJKVEocLJa4U4ea1Qs8zWWoaOXo7o7ueKbv6u6OLngq7+LvB1481ESToYcCxZfS02FUWAk5fxa7kLlVqFCwUX9G6TXZaNmXtm4rUBr6GPTx8ICKQXp+NU9inEZMQgrzQfLqXDEHc+CkKwSZ5IF6VKICWnDCk5Zdhx7oZmeRtHG9zj64wuPi64x88F9/i64B4fF7g7N65rmMgYGHAsmaK47rLbha0y4JzPP4/bd05MWI+UWymYsWcGZJBB/D1Lc0eXEHjdHo5zyR1QxTt9EzXZrfIqnEgrxIm0Qq3lXs626OzjjM7ezgjxcUYnH2eEeDvD150tPmQ6DDiWrKLufZ1Qng+g9Y1JOZx5uFHbCwh0cukMr9vDcOhUECrVHE9A1FJulipxs/QWjl3VvpWKi9wawV6O6OTljGAvJ3T0rv6zg7cTnOStsyuczAcDjiW7XVh3WflNo5fRELuu7Wrwtl3dusOt9H7EnWoPJVtsiEymRKFCQmYJEjK1u8NlMsDH2Q4dvBzRwcMJHbycEOThiCAvZwR5OsLZnuGHmo8Bx5LdrnvjSpTmGr+Ouzh+47jeK6hq9HbvB5tbkYg9EcAxNkStmBBATkklckoq63R3AYCnsy3aeziifRtHtPdwRDsPRwS2cUSghwMC3B15Xy5qEAYcS1Ze975OKM0xfh16CCHw2ZnPdK63tbJFuNtAlN0Ixx/HOEEfkTnIL1Uiv7QIZ9PrdqPbWMng5y5HO3dHtHN3QNs2Dmhb688Ad0de4k4AGHAsW1lenUWiMAOt6f+NNiZvRMLNhDrLPeRt0MthCNKu9MS+ZBcTVEZEplClFrheUIHrBRX1rpfJAC9nO/i7O6Ctmz383Rzg//effm728Hezh6+rPWysGYLMHQOOJSup595ORbpnCza2Pdf24NMzn2otu8f1HgRU3YeT54Ox8zYvTSUibUIAeSWVyCupREJGPRdSALCSAV4udvBztYeviz38/g49Pi5y+Lra//2Qo40Tf8dIGQOOpVLeBioK6y4vuPtYF2PYlLwJK0+vhEqo4GDjgHDXCChzQxF30h+nOXCYiJpBLYDc4krkFlcCqGe6jL/Z2VjBy9kOPq5y+DjL4e0ih7ezffWffz+8nO3g7WIPe1tr470BahAGHEtVmFHvYlnRdYiKYsjsXY1cULW/iv/Cu8ffxfEbx9HVtTMCRX9cuNwRuxKdTVIPEVmuyio1sgorkFVYf3dYbS5yG3i5yOHpZAcvZzk8ne3g6VwdgDyc7ODpVL3Mw8kObRztOFDaCBhwLNWtazpWCCA7Eegw0JjVILssG18lfoXDGYfQTR6GQZVzsf+kH06ytYaIJKBEUYUSRRXSbpbddVuZDHBzsIWHkx08HO3QpvafTrZwd6wOQTU/uztU/8lQ1DgMOJbqpu77Oon0Y5AZKeAk5CXgt0s/IvdWAWyKO6Ek9Z/YcdveKMcmIjIFIYDCciUKy5W4irsHIqA6FLnIbaoDj6Mt3Bz+F36qf7aF698/3/lwklvmV71lvmuCyE7SebWUuLwPGLKgxY6dfzsfR6/tw+XMy7iZ74DEq92QUMQuKCIiXYQAiiuqUFxRhfSCxr3WxkoGF3sbuDlUhyBXe1u4OtjARf73n/a2cLWv/tOl1p+u9rZwtreBi70NbCV41RkDjqXKOqVzlXX6CajyU2Ht2dlgh8u/nY/UjD+QlpmBKzlVOPeXH07e6mOw/RMRUf2q1AK3ypW4Va5s8j7kNlaa4OMs//tRz89OdtZwtrdFJ28n9GnfxoDvovEYcCyQKL4B2c1UfVtAHfs+rCd81fRjCIGMghQUZ5zCpZxbuJqjQkxGAJJLOjZ5n0REZBqKKjUUpQrcLFU0aPtHQv3x+ZMMOGRsF3fedRPbxO9xu10/OES80KBdCiGQe+sKVFlncDPvOi7lK3AtzwVbsgJxS2naDzkREVkeBhwLJM5satBsxQ67XkN5WhzQZyqEbyiEgzuEUEOtKAJKcqC+dQ3q/FSUF+Ugq9waGaWe2JbfEX8Wdmnx90BERKQPA46FUSd+D6vsxAZv73jxd+Di71rLqlzaItutN86gK36+FYwD+WGGLpOIiKhZGHAsiDr3ImS/L2zUa4StI0rbdMc1+644UdkJvxS0RUKeM1D3NlZEREStBgOOhahK2QXrn2dDdvuWzm2E3A0l7l1w3a4Tzqk6IK4kAAfyPaAs4eRSREQkLZIOOKtXr8YHH3yA7OxshIWF4bPPPsOAAQNMXVarIZQVUKfuAU5+BZu0Q/9bLndFuWtH5Mo7IE3WDucUfogr9EF8kTNQ/73piIiIJEWyAee7777D/PnzsW7dOkREROCTTz5BVFQUUlJS4OPjY+ryTEJdkgPkJEFkxaMiJxVVt9JRYuWOG7IQXAkYiOQKDxwv8kBqkQODDBERmTWZEEKYuoimiIiIQP/+/fH5558DANRqNQIDAzFnzhy8/vrrel9bXFwMNzc3FBUVwdXVNDeVbDQhIMoLUFJagsLSctwqKUNRSSkKi0tRXFqCstIi5JbLcLHcFfElziir4p1tiYjINKrnwelr8P025vtbki04lZWVOH36NBYtWqRZZmVlhREjRuDYsWN1tlcoFFAo/jc5UXFxcYvXKISAWgAqtYBKLVClVkNZpYZSpYZCqYKiSoWKShVuK6twu1KJ25VVKKuoQplCibIKJUoVShSXV6LktgIlFQqUlCuQUW6LCvWd02XL/354aZbY2VU/iIiITMHF3vTxwvQVNMHNmzehUqng6+urtdzX1xcXL16ss/2yZcuwdOlSY5UHAJDJZLCWodbdX9miQkREZCzSu3tWEyxatAhFRUWaR0ZGhqlLIiIiohYkyRYcLy8vWFtbIycnR2t5Tk4O/Pz86mwvl8shl8uNVR4RERGZmCRbcOzs7BAeHo4DBw5olqnVahw4cACRkZEmrIyIiIhaA0m24ADA/PnzMW3aNPTr1w8DBgzAJ598grKyMjz77LOmLo2IiIhMTLIBZ9KkScjLy8Nbb72F7Oxs9O7dG7t3764z8JiIiIgsj2TnwWkOSc6DQ0REZOEa8/0tyTE4RERERPow4BAREZHZYcAhIiIis8OAQ0RERGaHAYeIiIjMDgMOERERmR0GHCIiIjI7DDhERERkdhhwiIiIyOxI9lYNzVEzeXNxcbGJKyEiIqKGqvnebshNGCwy4JSUlAAAAgMDTVwJERERNVZJSQnc3Nz0bmOR96JSq9XIysqCi4sLZDKZQfddXFyMwMBAZGRk8D5XLYjn2Th4no2D59k4eJ6Np6XOtRACJSUlCAgIgJWV/lE2FtmCY2VlhXbt2rXoMVxdXfkPyAh4no2D59k4eJ6Ng+fZeFriXN+t5aYGBxkTERGR2WHAISIiIrPDgGNgcrkcixcvhlwuN3UpZo3n2Th4no2D59k4eJ6NpzWca4scZExERETmjS04REREZHYYcIiIiMjsMOAQERGR2WHAISIiIrPDgGNAq1evRocOHWBvb4+IiAj8+eefpi5J8g4dOoQxY8YgICAAMpkMP/30k9Z6IQTeeust+Pv7w8HBASNGjEBqaqppipWoZcuWoX///nBxcYGPjw/GjRuHlJQUrW0qKiowa9YseHp6wtnZGRMmTEBOTo6JKpautWvXIjQ0VDP5WWRkJHbt2qVZz/NseMuXL4dMJsO8efM0y3ieDWPJkiWQyWRaj65du2rWm/o8M+AYyHfffYf58+dj8eLFOHPmDMLCwhAVFYXc3FxTlyZpZWVlCAsLw+rVq+tdv2LFCqxatQrr1q3DiRMn4OTkhKioKFRUVBi5UumKi4vDrFmzcPz4cezbtw9KpRIjR45EWVmZZptXXnkFv/76K77//nvExcUhKysL48ePN2HV0tSuXTssX74cp0+fxqlTpzBs2DCMHTsWycnJAHieDe3kyZP4z3/+g9DQUK3lPM+G06NHD9y4cUPzOHz4sGadyc+zIIMYMGCAmDVrlua5SqUSAQEBYtmyZSasyrwAEDt27NA8V6vVws/PT3zwwQeaZYWFhUIul4utW7eaoELzkJubKwCIuLg4IUT1ObW1tRXff/+9ZpsLFy4IAOLYsWOmKtNstGnTRnz11Vc8zwZWUlIiOnfuLPbt2yfuv/9+MXfuXCEEP8+GtHjxYhEWFlbvutZwntmCYwCVlZU4ffo0RowYoVlmZWWFESNG4NixYyaszLylpaUhOztb67y7ubkhIiKC570ZioqKAAAeHh4AgNOnT0OpVGqd565du6J9+/Y8z82gUqnw7bffoqysDJGRkTzPBjZr1iw8/PDDWucT4OfZ0FJTUxEQEICOHTviqaeeQnp6OoDWcZ4t8mabhnbz5k2oVCr4+vpqLff19cXFixdNVJX5y87OBoB6z3vNOmoctVqNefPmYeDAgejZsyeA6vNsZ2cHd3d3rW15npsmMTERkZGRqKiogLOzM3bs2IHu3bsjPj6e59lAvv32W5w5cwYnT56ss46fZ8OJiIjAxo0b0aVLF9y4cQNLly7F4MGDkZSU1CrOMwMOEWnMmjULSUlJWv3oZFhdunRBfHw8ioqK8MMPP2DatGmIi4szdVlmIyMjA3PnzsW+fftgb29v6nLM2ujRozU/h4aGIiIiAkFBQdi2bRscHBxMWFk1dlEZgJeXF6ytreuMDs/JyYGfn5+JqjJ/NeeW590wZs+ejZ07dyImJgbt2rXTLPfz80NlZSUKCwu1tud5bho7OzuEhIQgPDwcy5YtQ1hYGD799FOeZwM5ffo0cnNz0bdvX9jY2MDGxgZxcXFYtWoVbGxs4Ovry/PcQtzd3XHPPffg8uXLreLzzIBjAHZ2dggPD8eBAwc0y9RqNQ4cOIDIyEgTVmbegoOD4efnp3Xei4uLceLECZ73RhBCYPbs2dixYwcOHjyI4OBgrfXh4eGwtbXVOs8pKSlIT0/neTYAtVoNhULB82wgw4cPR2JiIuLj4zWPfv364amnntL8zPPcMkpLS3HlyhX4+/u3js+zUYYyW4Bvv/1WyOVysXHjRnH+/Hnx/PPPC3d3d5GdnW3q0iStpKREnD17Vpw9e1YAEB9//LE4e/as+Ouvv4QQQixfvly4u7uLn3/+WSQkJIixY8eK4OBgcfv2bRNXLh0vvviicHNzE7GxseLGjRuaR3l5uWabF154QbRv314cPHhQnDp1SkRGRorIyEgTVi1Nr7/+uoiLixNpaWkiISFBvP7660Imk4m9e/cKIXieW0rtq6iE4Hk2lP/7v/8TsbGxIi0tTRw5ckSMGDFCeHl5idzcXCGE6c8zA44BffbZZ6J9+/bCzs5ODBgwQBw/ftzUJUleTEyMAFDnMW3aNCFE9aXib775pvD19RVyuVwMHz5cpKSkmLZoianv/AIQGzZs0Gxz+/Zt8dJLL4k2bdoIR0dH8dhjj4kbN26YrmiJmjFjhggKChJ2dnbC29tbDB8+XBNuhOB5bil3BhyeZ8OYNGmS8Pf3F3Z2dqJt27Zi0qRJ4vLly5r1pj7PMiGEME5bEREREZFxcAwOERERmR0GHCIiIjI7DDhERERkdhhwiIiIyOww4BAREZHZYcAhIiIis8OAQ0RERGaHAYeISI/p06dDJpNBJpPhp59+MlkdS5Ys0dTxySefmKwOIqlgwCGyMLW/sGs/Ll++bOrSWq1Ro0bhxo0bWndPBoCYmBg88sgj8Pb2hr29PTp16oRJkybh0KFDmm1iY2Mhk8nq3HQQADp06NDgsLJgwQLcuHFD60aoRKQbAw6RBar5wq79uPMmmwBQWVlpgupaH7lcDj8/P8jlcs2yNWvWYPjw4fD09MR3332HlJQU7NixA/fddx9eeeUVg9fg7OwMPz8/WFtbG3zfROaIAYfIAtV8Ydd+WFtbY+jQoZg9ezbmzZsHLy8vREVFAQCSkpIwevRoODs7w9fXF08//TRu3ryp2V9ZWRmeeeYZODs7w9/fHx999BGGDh2KefPmabapr4vH3d0dGzdu1DzPyMjAxIkT4e7uDg8PD4wdOxbXrl3TrJ8+fTrGjRuHDz/8EP7+/vD09MSsWbOgVCo12ygUCrz22msIDAyEXC5HSEgIoqOjIYRASEgIPvzwQ60a4uPjG92ClZ6ejnnz5mHevHnYtGkThg0bhqCgIISGhmLu3Lk4depUg/dVY+PGjfW2rC1ZsqTR+yIiBhwiusOmTZtgZ2eHI0eOYN26dSgsLMSwYcPQp08fnDp1Crt370ZOTg4mTpyoec3ChQsRFxeHn3/+GXv37kVsbCzOnDnTqOMqlUpERUXBxcUFf/zxB44cOQJnZ2eMGjVKqyUpJiYGV65cQUxMDDZt2oSNGzdqhaRnnnkGW7duxapVq3DhwgX85z//gbOzM2QyGWbMmIENGzZoHXfDhg0YMmQIQkJCGlzr9u3boVQq8eqrr9a7XiaTNeq9A8CkSZO0WtS2bt0KGxsbDBw4sNH7IiKAdxMnsjDTpk0T1tbWwsnJSfN4/PHHhRDVd13u06eP1vbvvPOOGDlypNayjIwMAUCkpKSIkpISYWdnJ7Zt26ZZn5+fLxwcHLTu4AxA7NixQ2s/bm5umruWb968WXTp0kWo1WrNeoVCIRwcHMSePXs0tQcFBYmqqirNNk888YSYNGmSEEKIlJQUAUDs27ev3veemZkprK2txYkTJ4QQQlRWVgovLy+xceNGvedr7NixWsteeOEF4erqqrXshx9+0DqnCQkJQgghYmJiBACtdTUPmUwmVq5cWeeYly9fFh4eHmLFihV11gUFBdX7GiLSZmPaeEVEpvDAAw9g7dq1mudOTk6an8PDw7W2PXfuHGJiYuDs7FxnP1euXMHt27dRWVmJiIgIzXIPDw906dKlUTWdO3cOly9fhouLi9byiooKXLlyRfO8R48eWuNQ/P39kZiYCKC6u8na2hr3339/vccICAjAww8/jPXr12PAgAH49ddfoVAo8MQTTzSqVqBuK01UVBTi4+ORmZmJoUOHQqVSaa3/448/6ry3oUOH1tlvUVERHnnkETz88MNYuHBho+siomoMOEQWyMnJSWeXTO2wAwClpaUYM2YM3n///Trb+vv7N3jsikwmgxBCa1ntsTOlpaUIDw/Hli1b6rzW29tb87OtrW2d/arVagCAg4PDXev4xz/+gaeffhorV67Ehg0bMGnSJDg6OjboPdTo3LkzioqKkJ2dDT8/PwDVg4BDQkJgY1P/r9Xg4GC4u7trLbtzW5VKhUmTJsHV1RVffPFFo2oiIm0cg0NEevXt2xfJycno0KEDQkJCtB5OTk7o1KkTbG1tceLECc1rbt26hUuXLmntx9vbGzdu3NA8T01NRXl5udZxUlNT4ePjU+c4bm5uDaq1V69eUKvViIuL07nNQw89BCcnJ6xduxa7d+/GjBkzGnoqNB5//HHY2trWG/qa45VXXkFiYiJ++ukn2NvbG3TfRJaGAYeI9Jo1axYKCgowZcoUnDx5EleuXMGePXvw7LPPQqVSwdnZGTNnzsTChQtx8OBBJCUlYfr06bCy0v71MmzYMHz++ec4e/YsTp06hRdeeEGrNeapp56Cl5cXxo4diz/++ANpaWmIjY3Fyy+/jOvXrzeo1g4dOmDatGmYMWMGfvrpJ80+tm3bptnG2toa06dPx6JFi9C5c2dERkY2+py0b98eH330ET799FNMmzYNMTExuHbtGs6cOYNVq1ZpjtMYGzZswJo1a7Bu3TrIZDJkZ2cjOzsbpaWlja6PiBhwiOguAgICcOTIEahUKowcORK9evXCvHnz4O7urgkxH3zwAQYPHowxY8ZgxIgRGDRoUJ2xPB999BECAwMxePBgPPnkk1iwYIFW15CjoyMOHTqE9u3bY/z48ejWrRtmzpyJiooKuLq6NrjetWvX4vHHH8dLL72Erl274rnnnkNZWZnWNjNnzkRlZSWeffbZJp+XOXPmYO/evcjLy8Pjjz+Ozp0746GHHkJaWhp2796NXr16NWp/cXFxUKlUePTRR+Hv76953HlZOxE1jEzc2SlORGQAQ4cORe/evVvlbQX++OMPDB8+HBkZGfD19dW77fTp01FYWGjS2zTU1qFDB80cPESkG1twiMhiKBQKXL9+HUuWLMETTzxx13BTY+fOnXB2dsbOnTtbuELd3nvvPTg7OyM9Pd1kNRBJCVtwiKhFtMYWnI0bN2LmzJno3bs3fvnlF7Rt2/aur8nNzUVxcTGA6qvG7rzKzFgKCgpQUFAAoHrAdkMHXhNZKgYcIiIiMjvsoiIiIiKzw4BDREREZocBh4iIiMwOAw4RERGZHQYcIiIiMjsMOERERGR2GHCIiIjI7DDgEBERkdlhwCEiIiKz8/8BjC8Ni1ok23UAAAAASUVORK5CYII=\n"
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = model.plot_area(Z_type=\"Zxdip\", component=\"imag\")"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 494
+        },
+        "id": "mepl3wjFTSln",
+        "outputId": "34dcc4fa-3301-4d58-e6ed-29c0ef8962dd"
+      },
+      "execution_count": 44,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 640x480 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "# Tracking with collective effects"
+      ],
+      "metadata": {
+        "id": "txgbZaWDBIJF"
+      }
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "## WakePotential class"
+      ],
+      "metadata": {
+        "id": "93bUR_P_BLHx"
+      }
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The `WakePotential` class is used to model the **single bunch collective effects**, it computes wake potentials in time domain **from uniformly sampled wake functions** by performing a convolution with a bunch charge profile.\n",
+        "    \n",
+        "Two different time bases are used. The first one is controled by the `n_bin` parameter and is used to compute the bunch profile. Then the bunch profile is interpolated on the wake function time base which is used to perform the convolution to get the wake potential.\n",
+        "\n",
+        "As the computation is based on the input wake function, **special care should be given on the choice of the time array**. It should be long enough to cover twice the longest expected bunch length in the simulation and dense enough to correctly reproduce the wake function variation."
+      ],
+      "metadata": {
+        "id": "1xYrDmkFCzif"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "from mbtrack2 import WakePotential"
+      ],
+      "metadata": {
+        "id": "He6WbHE7B90V"
+      },
+      "execution_count": 45,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "wp = WakePotential(ring, wakefield=rw, n_bin=60)"
+      ],
+      "metadata": {
+        "id": "oJ2deX8MMVsa"
+      },
+      "execution_count": 46,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The `WakeField` element given as input parameter to the `WakePotential` object determines which wake potential will be computed by the class.\n",
+        "\n",
+        "For example, for the previously defined wakefield from the `CircularResistiveWall` class:\n"
+      ],
+      "metadata": {
+        "id": "Dgg9-3k1FB2K"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "rw.wake_components"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/"
+        },
+        "id": "6YU9_XwcLiSq",
+        "outputId": "3fc97d5d-7a67-4645-e52f-778de0aefcac"
+      },
+      "execution_count": 47,
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "array(['Wlong', 'Wxdip', 'Wydip'], dtype='<U5')"
+            ]
+          },
+          "metadata": {},
+          "execution_count": 47
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The `WakePotential` object will compute and apply on the bunch the longitudinal, dipolar horizontal and dipolar vertical wake potentials using the `track` method:"
+      ],
+      "metadata": {
+        "id": "mYOoVbF0Lm4p"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "wp.track(mybunch)"
+      ],
+      "metadata": {
+        "id": "Ekq0ZwZ-FrqN"
+      },
+      "execution_count": 48,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The last computed wake potential is stored in the class and can be plotted:"
+      ],
+      "metadata": {
+        "id": "bmiyDEXOM0jH"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = wp.plot_last_wake(\"Wlong\")"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 453
+        },
+        "id": "KLE_UQK1HeIQ",
+        "outputId": "7ea6e20a-abb0-4726-d511-7c24e31d6507"
+      },
+      "execution_count": 49,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 640x480 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The dipole moment used to compute dipolar wake potential is also stored:"
+      ],
+      "metadata": {
+        "id": "Bw5-8SzTNm9C"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = wp.plot_last_wake(\"Wxdip\", plot_dipole=True)"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 469
+        },
+        "id": "bOfypKQdHV0W",
+        "outputId": "f0516297-d1b0-41dd-a106-902ded0b059e"
+      },
+      "execution_count": 50,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 640x480 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "To be able to see the dipolar wake potential correct shape, the bunch need to be offsetted:"
+      ],
+      "metadata": {
+        "id": "-pIZfuk1N3xQ"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "mybunch[\"x\"] += 1e-3\n",
+        "mybunch[\"y\"] += 1e-3\n",
+        "wp.track(mybunch)\n",
+        "fig = wp.plot_last_wake(\"Wxdip\", plot_dipole=True)"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 453
+        },
+        "id": "551SPM_4Hiaz",
+        "outputId": "f310518f-14cb-416e-bba2-ea2bb637329d"
+      },
+      "execution_count": 51,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 640x480 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "It is possible to get a correctness estimate of the computed wake potentials using the `reference_loss` method. \n",
+        "\n",
+        "It compares the loss factor (and kick factors) computed in time domain and in frequency domain:\n",
+        " * The **time domain** (TD) value is computed using the wake potentials and bunch profile stored in the `WakePotential` object (so from the last `track` call).\n",
+        " * The **frequency domain** (FD) value is computed assuming a Gaussian distribution and uses the impedance data stored in the `WakeField` object.\n",
+        "\n",
+        "Both values should match assuming that the tracking bunch has a Gaussian distribution."
+      ],
+      "metadata": {
+        "id": "pRBcdGuRVnli"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "wp.reference_loss(mybunch)"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 143
+        },
+        "id": "Slt8inaWHuGb",
+        "outputId": "1612b6cf-1f1e-43a3-bf7c-6b2d49dcc35f"
+      },
+      "execution_count": 52,
+      "outputs": [
+        {
+          "output_type": "execute_result",
+          "data": {
+            "text/plain": [
+              "                  TD factor     FD factor  Relative error [%]\n",
+              "Wlong [V/C]    4.255052e+10  4.241868e+10            0.310803\n",
+              "Wxdip [V/C/m]  1.126361e+13  1.155229e+13           -2.498903\n",
+              "Wydip [V/C/m]  1.126395e+13  1.155229e+13           -2.495972"
+            ],
+            "text/html": [
+              "\n",
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+              "  <thead>\n",
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+              "      <th></th>\n",
+              "      <th>TD factor</th>\n",
+              "      <th>FD factor</th>\n",
+              "      <th>Relative error [%]</th>\n",
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+              "  </thead>\n",
+              "  <tbody>\n",
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+              "      <th>Wlong [V/C]</th>\n",
+              "      <td>4.255052e+10</td>\n",
+              "      <td>4.241868e+10</td>\n",
+              "      <td>0.310803</td>\n",
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+              "      <td>1.126361e+13</td>\n",
+              "      <td>1.155229e+13</td>\n",
+              "      <td>-2.498903</td>\n",
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+              "      <th>Wydip [V/C/m]</th>\n",
+              "      <td>1.126395e+13</td>\n",
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+              "      border-radius: 50%;\n",
+              "      cursor: pointer;\n",
+              "      display: none;\n",
+              "      fill: #1967D2;\n",
+              "      height: 32px;\n",
+              "      padding: 0 0 0 0;\n",
+              "      width: 32px;\n",
+              "    }\n",
+              "\n",
+              "    .colab-df-convert:hover {\n",
+              "      background-color: #E2EBFA;\n",
+              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
+              "      fill: #174EA6;\n",
+              "    }\n",
+              "\n",
+              "    [theme=dark] .colab-df-convert {\n",
+              "      background-color: #3B4455;\n",
+              "      fill: #D2E3FC;\n",
+              "    }\n",
+              "\n",
+              "    [theme=dark] .colab-df-convert:hover {\n",
+              "      background-color: #434B5C;\n",
+              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
+              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
+              "      fill: #FFFFFF;\n",
+              "    }\n",
+              "  </style>\n",
+              "\n",
+              "      <script>\n",
+              "        const buttonEl =\n",
+              "          document.querySelector('#df-6dda0f54-f6df-4e9f-9193-cbbae1390fef button.colab-df-convert');\n",
+              "        buttonEl.style.display =\n",
+              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
+              "\n",
+              "        async function convertToInteractive(key) {\n",
+              "          const element = document.querySelector('#df-6dda0f54-f6df-4e9f-9193-cbbae1390fef');\n",
+              "          const dataTable =\n",
+              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
+              "                                                     [key], {});\n",
+              "          if (!dataTable) return;\n",
+              "\n",
+              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
+              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
+              "            + ' to learn more about interactive tables.';\n",
+              "          element.innerHTML = '';\n",
+              "          dataTable['output_type'] = 'display_data';\n",
+              "          await google.colab.output.renderOutput(dataTable, element);\n",
+              "          const docLink = document.createElement('div');\n",
+              "          docLink.innerHTML = docLinkHtml;\n",
+              "          element.appendChild(docLink);\n",
+              "        }\n",
+              "      </script>\n",
+              "    </div>\n",
+              "  </div>\n",
+              "  "
+            ]
+          },
+          "metadata": {},
+          "execution_count": 52
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The input wake function can also be checked by computing the wake potential from a perfect Gaussian distribution:"
+      ],
+      "metadata": {
+        "id": "-VUlITLPULGN"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = wp.plot_gaussian_wake(sigma=ring.sigma_0, wake_type=\"Wlong\")"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 455
+        },
+        "id": "x78w3o2PUVCn",
+        "outputId": "17b68450-ef53-4211-ea48-b530e2856e2b"
+      },
+      "execution_count": 53,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 640x480 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The `track` method of the `WakePotential` can also be used on `Beam` objects, each `Bunch` will compute and apply its own wake potential.\n",
+        "\n"
+      ],
+      "metadata": {
+        "id": "1L-cvcHzXmcU"
+      }
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "## WakePotentialMonitor class"
+      ],
+      "metadata": {
+        "id": "Y0Txxkbh5AG-"
+      }
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The `WakePotentialMonitor` class is used to monitor `WakePotential` objects and save its differents attributes (wake potentials, bunch profile, dipole moments, ...) during tracking."
+      ],
+      "metadata": {
+        "id": "xCKOKwj_5yl_"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "from mbtrack2 import WakePotentialMonitor"
+      ],
+      "metadata": {
+        "id": "ulvOkezR8P7u"
+      },
+      "execution_count": 54,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "It is defined in the same way as other `Monitor` class objects, the `bunch_number` parameter is only used if a `Beam` object is tracked instead of a `Bunch`.\n",
+        "\n"
+      ],
+      "metadata": {
+        "id": "fEu-cxynCRYc"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "wp_mon =  WakePotentialMonitor(bunch_number=0, wake_types=[\"Wlong\",\"Wxdip\",\"Wydip\"], n_bin=60, save_every=1, buffer_size=10, total_size=100, file_name=\"save\", mpi_mode=False)"
+      ],
+      "metadata": {
+        "id": "OU0Bp9nl86gK"
+      },
+      "execution_count": 55,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "\n",
+        "The `WakePotentialMonitor` `track` method takes both the `Bunch` (or `Beam`) as first parameter and the `WakePotential` as second parameter.\n",
+        "\n",
+        "Now let us set up a small tracking example with both `WakePotential` and `WakePotentialMonitor` objects:\n"
+      ],
+      "metadata": {
+        "id": "FAwHTzvHCz09"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "from mbtrack2.tracking import LongitudinalMap, RFCavity, SynchrotronRadiation, TransverseMap"
+      ],
+      "metadata": {
+        "id": "hGoqDrSF8pP9"
+      },
+      "execution_count": 56,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "LongMap = LongitudinalMap(ring)\n",
+        "RF = RFCavity(ring, m=1, Vc=1e6, theta=np.arccos(ring.U0/1e6))\n",
+        "SR = SynchrotronRadiation(ring)\n",
+        "TransMap = TransverseMap(ring)"
+      ],
+      "metadata": {
+        "id": "PPp2R9N1_Opd"
+      },
+      "execution_count": 57,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "turns = 100\n",
+        "for i in range(turns):\n",
+        "  LongMap.track(mybunch)\n",
+        "  SR.track(mybunch)\n",
+        "  TransMap.track(mybunch)\n",
+        "  RF.track(mybunch)\n",
+        "\n",
+        "  # collective effects part\n",
+        "  wp.track(mybunch)\n",
+        "  wp_mon.track(mybunch, wp)"
+      ],
+      "metadata": {
+        "id": "hp0KDeK_8eRu"
+      },
+      "execution_count": 58,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The saved data can be accessed directly in the `\"save.hdf5\"` file or plotted directly using the `plot_wakedata` function:"
+      ],
+      "metadata": {
+        "id": "U-cJx0oB_VDO"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "from mbtrack2 import plot_wakedata"
+      ],
+      "metadata": {
+        "id": "3pLMRtwd9i8l"
+      },
+      "execution_count": 59,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "Here showing the longitudinal wake potential and bunch profile at different turns:"
+      ],
+      "metadata": {
+        "id": "lvQ-NdX7_uaM"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = plot_wakedata(filename=\"save.hdf5\",bunch_number=0, wake_type=\"Wlong\", start=0,\n",
+        "                     stop=None, step=10, profile_plot=True, streak_plot=False,\n",
+        "                     bunch_profile=False, dipole=False)"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 453
+        },
+        "id": "gxRvybqr97ev",
+        "outputId": "c0f7701a-2430-4d3e-8ce0-deb4d56111db"
+      },
+      "execution_count": 60,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 640x480 with 1 Axes>"
+            ],
+            "image/png": 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40kZy4sYYFcZm3l+/qcv7I8TxSBIoIYToZkF3Ha2a+K/fZHMyod0jUIbCAqq3xveyy+7j2Gs18Vg0ypt/uZdnfzmFyvVr97lmbkkyI88pAGBL36tI9aXzi/dU3v7q4S7ujRDHJ1lIUwghulm0zUXz7hGoJGMSwV2rADAWFVHzxe4Eqm/SXucsf/sNKtbG2735l3sYd/2NlJx8BuVrVrJt2WL8nlYi4TBE2wjFRrB+wHWMKfsrIeNSGq/w40zcezRLCPHDSAIlhBDdTOur7ywiT9XZCVfHNxbWZBdQvys+5Zbd5+sEqrFiF0veeAWA9KJi6ndu4+NnHmfhi88T9O+7YKZG10p7whS29r6M01e/wrtP/IFr7/q/ru6WEMcVmcITQohupgu0dNZApbcC0Sgaq5XGNj2xqIrVYcSeZgYgGonw4T8eIRaN0HvUGCb/+e+MufRKAIJ+Hxa7g2HnXMD4X9zKub+6A3OijVjETSy8mbqsk3CljaTfW+8RCwZ7qrtCHJNkBEoIIbqZPtxG6+4RqOR6PwCGwkJqt7oByO77df3Tindn01i+E1OijXE/vRFFo+HEy39M3sAhRCMR8gYMRrM7GQNoa2rk81kz0WlWElP7sbnvJEatqGTLk8/Q//ZburejQhzDZARKCCG6mTHaTosmnvQkutoAMBQVUtNZQP719N2GhfMBOPXH12J1fH08t2QQBYOH7ZU8AQw9+1xMCYl0tDVgTyonpjWxbuANdLz8EpGmpi7tlxDHE0mghBCim5ljvs4aKFNNPKnR5veioTyeTOXsLiD3uVtprasBRaH3yDEHdG2D2cLI8y8GINTxFWFdK35rJtuKJtPwj2cOd1eEOG5JAiWEEN0oEI6i0EFg9zIGmsq6+PHUQmIxFXOiHltqvP6pZvMGAJy5+ZgSEr732lFviLaF1fSxj8JoteJ21ZBgm0c01k5T6mBWruhADYe7qGdCHF8kgRJCiG7U0tZBSBcCwKjoiZRXAtBhje9tZ3d+vdxA9e4EKrv/gG+9nqqqBLa30vTiRur+bxmeD3fh+7iacaXXAeDZUY3f9xzR4EbKM06j8oMlXdIvIY43kkAJIUQ3am39+g68/IiDWFsbaDT4SATovPsOoHpTPIHK6T9wv9cK1bTT9Px6mmasJ7CxGWKgS48nYAnlZi67bjpJWTnoIyph/1wigYV8+ZELdc+uxEKIQ3ZMJFBPPfUUBQUFmEwmSktLWb58+Xe2f/311+nXrx8mk4lBgwbxwQcfdD4XDof57W9/y6BBg7BarWRlZXHNNddQW1vb1d0QQhwHPJ7mzlXIe3vjyY4+JwdPS3xUyu6MJ1BBv4/Gil0AZPfbewRKjcZoeWMrDU+sIrjdDVoF69hM0m8bTvqtw7GMTAcVdEvCTL7zr2SdORqAaHA19d4lbFlc0R1dFeKYdtQnUK+99hrTpk3jvvvuY+XKlQwZMoTx48fT0NCw3/aLFy9m0qRJXHfddaxatYqJEycyceJE1q9fD4Df72flypXcc889rFy5ktmzZ7NlyxYuvPDC7uyWEOIY5fN8PQKV545/NBYW4mmIL2ewZwSqZstGUFUcGZkkJCV3nq+qKq2zt+NfUQ+AZaiTjNtHknRRb/TpVhRFiX+ek4DaEaFl5mbOyZyMo18JDn06sfA2Pv7ng4QDUgslxA9x1CdQDz/8MNdffz1Tp06lpKSEZ555BovFwgsvvLDf9o899hgTJkzgjjvuoH///vzxj39k+PDhPPnkkwDY7XbmzZvH5ZdfTt++fRkzZgxPPvkkZWVlVFZWdmfXhBDHIL+3pXMbl/TW+FSaoSAfT2MH8HUNVM3u6bv/HX3yflKJv6weFEi5poTkK/uhSzbt1UbRa1DPTWOueTVrPFtp/7KW8cELGJ8zhVGp56KG6pn3wpyu7KYQx7yjOoEKhUKUlZUxbty4zmMajYZx48axZMn+CyWXLFmyV3uA8ePHf2t7AI/Hg6IoOByOb20TDAbxer17PYQQ4n8F2ls7F9F0+HbXIiWn4ffsPYW3v/on33IXbfPjb+QcE3tjLknZ72uUl5cz87//oVptZql+G21DDRiLHajEKEocxPjsqTR/9RWBdlmdXIhDdVQnUE1NTUSjUdLT0/c6np6ejsvl2u85LpfroNoHAgF++9vfMmnSJGw227fG8sADD2C32zsfubm5B9kbIcTxIOzzdE7hWdsiAPjNTgCMVh0mq55wKIhrxzYAsgv70b60lvrHV9I6O34s8fRcEkoz93v9devW8Z///IdAIIBerwfgs9aVJE8poW6Ej2CgiQS9g1PTzmPp0x91aV+FOJYd1QlUVwuHw1x++eWoqsrTTz/9nW3vvPNOPB5P56OqqqqbohRCHE2iHR5adheRm7zxESC/1g58PX3n2raFWDRCSnI2/plVuOfsIFzrA61CwsnZ2M7O3+e6qqryxRdf8OabbxKNRunfvz833ngjJpOJ+vp6li1bxpCJZ7NG92ea3FvRKBoyXFraGvbdjFgI8f2O6gQqNTUVrVZLfX39Xsfr6+vJyMjY7zkZGRkH1H5P8lRRUcG8efO+c/QJwGg0YrPZ9noIIcT/UgMeWnePQBk88eTFF4tP2+2ZvqvauA6A4rxS1I4ImgQ99vOLyLyrFMd5RZ375O0RjUZ5//33+eSTTwAYM2YMP/rRj3A4HJx11lkAfPrppwT8PvJPvJoNzc/hijZg1Sey+ZnPu77TQhyDjuoEymAwMGLECObPn995LBaLMX/+fMaOHbvfc8aOHbtXe4B58+bt1X5P8rRt2zY++eQTUlL2X2cghBAHSxNso1mrQVFVFE87AG2B+FSbI82MGouxYeECADJsRQBYhqaReFI2Wqt+n+sFg0FeffVVVqxYAcCECROYMGECmt2jXMOGDSM3N5dwOMzMmTNZtCvKtgETeM+6jjcMS3EFG9i6aGOX91uIY81RnUABTJs2jeeee45///vfbNq0iV/84hf4fD6mTp0KwDXXXMOdd97Z2f6WW25h7ty5/P3vf2fz5s1Mnz6dFStWcNNNNwHx5Omyyy5jxYoVvPzyy0SjUVwuFy6Xi1Ao1CN9FEIcG1RVRRv20qLVktABSjQGgNcb/2hPs1C+dhXexnqMVivWYHz7FmPB/ke0g8Eg//nPf9i2bRs6nY4rrriCMWPG0NAwl8rK54nFImg0Gs4//3w0Gg2tra2gbCPVWY5CGI/GT5l+J7Pm/5ePPvhQFtgU4iDoejqAH+qKK66gsbGRe++9F5fLxdChQ5k7d25noXhlZWXnOzGAE044gVmzZnH33Xdz1113UVxczJw5cxg4MH6nS01NDe+88w4AQ4cO3eu1Pv30U0477bRu6ZcQ4tjjDUTQaXxEFKXzDjytw4G3KQDEp/CWzf4QgIEnjiOyPb60gSF/3wQqEonw2muvUV1djclk4sc//jE5OTm0tW1g3fqbAJX29s307/8g6enp/PjHP6a27i2CwZeBGBQqNJT1pjU8jgZNO0uWLyMcDnHehRfuM0UohNjXUZ9AAdx0002dI0j/67PPPtvn2I9+9CN+9KMf7bd9QUGBvAsTQnSJpvYgqjZe95Tu1wFRSE2nvTVeTK7V+9lRFt9JoaTfKYS2NaBNMYFFy6JFi7BYLPTu3ZvExETefPNNdu7ciV6v70yeVFVly9bpQPx3WJ1rNlqtlT597sNiWU8w+AwQQ6MxETMFSDtxG+luF71rz2RJs4UVq1YRU+H8Cy/Y642nEGJfx0QCJYQQR4Pm9hAxXXxUKStgAIKEUuN31BnMOrYt+xQ1FiO73wCMPiMhwJhnY/Xq1SxYsKDzOgkJCbS3t6PVapk0aRI5OTkAuFxz8HhWotGYKSq6le3b/4/qmv8QCNbS1PQpECMr83KKi39PTc3L7Njyd1RHG1rHHE4MWamqK2Ldhg4URcMFF13Qzd8dIY4u8hZDCCG6SXN7kLAmPtqUHjAAELBlA2BLNbJuwccADBk3gVBFfDFeQ4GNnTt3ApCYmIiiKLS3t6MoCpdddhlFRfFC80ikje07HgSgsOBG8vN+St++fwCgqWk+e5Knfv3+jE6XQH7+zxg97D2aa2JEvAqKwUde/jpGjnqbiqrZbN28tXu+KUIcpWQESgghukmTL0RIFwKMpHTE76jrsDohBFptNe3NTZgSbfQeeQIN8+J31RnyEtm1ML6p8GWXXYbT6WTXrl0omrXoDe/R2FiDwzGK8op/EAo1Yjbnk5d3LQA52VcRiwbYvuMhNM5rWGS9jjtX7WCLL0CGUU++2YA57XHWNy7g7A0xjAN8OGyV9CpZyooVd5CT9x8sFlmSRYj9kQRKCCG6SXN7EK02Ahhx+OMTAD6tAwA1Ft8AvXDoCNSWMGoohmLS0qy24ff70ev1ZGdno9PpKCy0sHTZ/ajqng2Bvy767lN8DxqNEYCOaIxFuot4MeEE1jYGoLGus11rJMomXwAMuZD9E7Zlfx1nktrMLVl/Y9H8Czjt7NcwGfe/rp4QxzNJoIQQopu0tAWwaONLFiT644XeHWp89fFY2A1AUkYWoXIPAIY8G9vK46NP+fn56HTxX9nbtv8fqhrGYikEFPz++BRfauo4UlNPpyEY5l81Tfy7tomWcBSI12uUOqyc53RQarfSGIpQEQhR0RFkZ3MTKxtWY26z0ZyUTasphT+qf+TH1pnoFp7D6DEvYrMN6o5vkRBHDUmghBCim7S1uQnu3kjY0h5PbAKx+FReoL0JAEd6BsHd9U/GfBs7d64G6Kx1amn5kqamT1AULYMGPU2CtZhgsJG29i1sU/rzy40VvNvgJrz7buIck57rc5xckp6E07DvQpwA9M7m3ddn81jT6/zx6ST+OvX/2FCYyL/5Kdt1xXR89RNKBz1AWtr4Lvm+CHE0kiJyIYToJoE2N627EyijJ772U0cw/rXf0wiAIyOLUEUbANpcKxUVFUA8gYrFImzb9mcAsrMnk2AtBuDdVi2X7Ujl4jVVzK5vJayqjLRZeG5AAUtLS/hZbtq3J0+7XXDZdM7TJfPsOR7ue+4hzlzlQVFjfKmcyi+Uf3L1+hoeWfcWrmD4O68jxPFCEighhOgm0Q43rRotiqqi9fhQUQh0xFDVMH5PCwAJ5mSiniBooFHrJRwOY7FYSEtLo7buv7T7tqDT2Skq/BUAL1Q3ctOmSjb7Apg1CpMzk/l4ZB/eG9GHC9Ic6DQHuCimonDj5NdJTFH57wk7uerjd5m8sJ4kfzsRRc8aZTgPNhUyfPF6nq9u7KpvkRBHDZnCE0KIbhLt8NKSpMHaAUo0StBgQ1VBje2ueTJb0DTHp970mQlsr4qPPhUWFhKNtrNz5yMAFBXegl6fxAeNbn6/rQaAn+c6uS0/Hbv+0H+tG+yZ3HPG0/xS+3N61c1l5MZcCl1pNBS0Ut7XzzZHPjuVYu7eVo3ToOfCNMcP+G4IcXSTESghhOgGqqqiBD20aLU44ouRE0nOAkBvjB9wZGQSroxP3xnyEjvXfyosLKSq6gXC4RYslt5kZ1/Fcnc7v9xYgQpck5XCfb2yflDytEfv4lN4cNAfWHxyBL17BsmtzeRsC3D6Ch23ND/JOPVDVBRu3LCLL1vbfvDrCXG0kgRKCCG6gT8UxYCHiKJg370P3p4ESqeLJyKO9ExCVfHPlSwz1dXVAOTnp1NV/SIARUW3sL0jyjXrdhGIqYxPtfGX4pzDun/dsNLL+G3JdOZNCJFV8SwWnwF3+SaUJWdwhe9NRqrLCKPw45VbWe+WJEocnySBEkKIbuDuCKPXxafq0nzxZCdij296jho/7nBmEKppB6Be6yYWi+FwOPB3zCUS8WCxFJKSejY/XV+OOxJlhM3C0yUFB17ndBBGnnolN459gDkTAxTseBZnpC/VrnLcH/fjl+F/UKxupkOj5bIVa/miXmqixPFHEighhOgGbn8InTY+WpPh1wIQsqYAEIu0ApBiyYaoisaqY2d9JQCFhTlUVj4PQH7ez/mouZ2t/gB2nZZ/DyrCou26X+ODTriEn531OO9cGKT3tn+RHiqhsVlHy/wCbg89TqZag1tr5UcbqvjZV5/SGgp1WSxCHGkkgRJCiG7g9odRdPHRpbTdq5CHTA4AwoH4HXiJsfjXmmwra9euBSAnp4pQqBGjMZP09At4oiK+YvnU7FRSDV1/H1C/kRP4+WUvsvCCMDmV/yYr0IeG6mQaXy3kzzvmc1J0Iaqi4e32JMZ8uYznt8wjGpWlDsSxTxIoIYToBm5/GLR+AJI6do9A6RJQ1RhBfzyB0rfH12raYWygo6MDh8NGIDgHgPy8n7LEG2J1mx+TRuG6nNRui72wpJRrfz6XtRdrMXpeorAtB5/an6rPmrlrfho31s4iU63BQyK/r3Uy/os5lLnKui0+IXqCJFBCCNEN3B0horr44pl2f7xmKYAJNeZFjcXQ6vWorhAqKmuaNgMwfHiUQKAavT6ZrKwreKoyPvp0ZWbK9y6MebilZhXwy2mL8V6cS3XCG/StayJkOZdl1V9wUVkp0xbtZFzLAvRqiPWxYi7cpHL3+sX4o7FujVOI7iIJlBBCdAO3P0xYGwQgYfddeIGIHjXmBsCZVkDUHcSlcdPQ2oROp0Wn/wSAvNypbPSrfNrShgb4Ra6zJ7qA1mjlJzfOpffVk1k46CMGbn4VrfY0vmhexSC3k5+szGTSV58wILSeKDpmNFo4YXEZbze0ou7eWkaIY4UkUEII0Q3c/hBBbbw2yOyJf+wIKp2LaGYlx7dl2WStA2DYcCMdHdvRaq1kZ/+4c/TpojQH+WZjd4f/NUXhnHPv5rZpr7PovCqSax8kpd3BF94GtC0NXN46gPMXVzG1ZSYpaiOuiJ6fbajgklVb2dDe0XNxC3GYSQIlhBDdwO0P06GNkuJVMbSFiOjNRMIqatQNQIoxi3YC7Aq74l+nrAAgO+tKaiNG3mmIt7sxL60nwt9HevZA7vvtV2h/eS5Vqc/TZ9dXbAkksaJmAUMarYxcOZBbqp7hEvVV9GqQJZ4OzvpqM7/eXEFjSIrMxdFPEighhOgGrf4wfm2E4pr4VJbSb+juZ+IjUAkRO5t01aioFBcb8fnKUBQtnuTJ3LChnBhwenIiAxMtPRL/fikKF0/8Az9/8DO2XNiEoe0pknzZrPP7aSr/grzVZ1C6sZU/BX9HqbqYGAov1bVSungtj+yqoUPqo8RRTBIoIYToBmFfK14tFNfurgXqMzj+UfWgoKBr17JVG5++Kyzchg8rr5r/wIVrW1nT1oFFq+G3hZk9FP13S3Ckc/NtHzLuwSeoGDIbZ8tidIxlU1MF6nJI+exHXLxtMXeG/kCRuh2/quXB8kZKv1jGP3btwh2O9HQXhDhokkAJIUQ3MPiqadVo6bN7BCqWV4yqqsQibuwGJ00xLx1KiMTEEFsDFdzOE7zT0Y8Y8bqnL0b3Y6jtCBp92o/8XqP5zX1LGfbAzXhyXyDDW0skOpBtNZtI/Cqf3p+fww3b3+L60NOkqI00xMz8odzDkC9WcuOqL1nr8fR0F4Q4YF2/CpsQQgjMgSpiMSiMlzgRSc0FtRw1FibT0osKbXw7lH79qpnBxbQpdootRh7ok8NJSYk9GPnB6z/gLPr/31ns2rGM92f+jrT1aXgjubgqNtO/ZSS9dmXSO/s91hTp+dx0MlVKPm+6Dby5chcFWjcXOhO4Mm8ARVZzT3dFiG8lCZQQQnQxVVUxx6rIbwBDFLRJSQQ1FmKReDZVaB/Ex5ot6HRBouZNrOAmAJ4syWfIkVTzdJAKe5Vy0x8/pb2tgdkv/gbLl43UNCTgbWskrymFK8v7cWLyZtYVLmBFagmrtcMpjzp43AWPu7bQ19DGRekZXJKdR0FP3nkoxH5IAiWEEF3MH4qSoK3vnL4zDxmCvy1MNLwduz4VtCZaNT4y08pZwkjCioH+VhODE46NEZiExDSuuXEm3AhlX81m5axnaanuRZUvTGJTiNNq+jDGbmJz+n/Zladjo60vG5RBbAkl8lCVj4eqNtHPFOaC9CzOdiYxMMGMohz+DZSFOBiSQAkhRBdr9YewalvJ3JNADR2Cr9VPLLyDPMdoKjRNAGRnt/AiFwNwRUbyMZkkjBh1CSNGXUIsEuaTDx6n8oMv2NEUJOSxkNeYSN/qTAZaWmjNmEFdbiLrLAPYyEA2B/RsrmjkrxWNOLVhxqXaOMuZzslJiSTqtD3dLXEckgRKCCG6mNsfRq/zdN6BZx4yhNa3t4EaJD9hAAs1O9BoIjSbI+xQ+qBT4NKMpB6OumtpdHrOvvB2uPB21GiURZ+8wLb356NW1WMypFHSUEzJrkRGOKpoy5lLRUYK63SDWc9gGqMmXqnv4JX6crTEGGIOM86ZxunOdAYnmtEeg4mnOPJIAiWEEF3M0xHGGGwnzWNEVcA0aDBtMz4g2ZiJXmelTuMmyeFiEScDcGayrdv3uutJilbLqeOv59Tx1wNQWb6Oz199Gt8mP4aaDDJ3jSAn0cQIpwtf+mfUpBnYYilmHUOpU7JZ2WFkZaWHhyo9JNDBCFMHp6elMCa1gAGJNvQaSajE4ScJlBBCdLE2TzM6d3z0qT3LASYTQd9WSpLGUKVpRlVU0rNa+JLJAFyZmdyD0fa8vIJBTP7dPwBQYzG+WvERG96bTWhzjIRNhZRYk+mbFOPc9I9odLZSnuxki6EvGxhIu2JlYcDMwkoVKnehU8MU0EyJGYampDE0tYCSRBsOvfz5Ez+M/AQJIUQXi7RUEu6I1+nE0pIpX7sBRfWTa+3PUm05oFKZ5MCtJJGsjTEuxd6j8R5JFI2G0aPPYfTocwCIxlRWrV/K2rkvEVzvxh7MYIw5jVKHm2jam1RkxthmT6XclMcupQi/ksB2MtgegHdqgJpKABwxD7mql2KTlsEpKQx2FtDfnkKSJFbiAMlPihBCdDV3BXRoUIGO5L4sfuNjnKZcjDoz1domLFY3i5RRAFyakSJTTt9Bq1EYOXgsIwePBSAcjbF2RyWrV7yJd10ViRsVTovo0Fu0kLyLpqwAlU4DroQEXIZUajQ5NCtO3Bo7buysC8NsF+CqA+pIiLWREW0hUw2Qa9BQ7EhhYEYufZJySTMaj8nCfnFoJIESQogupvdWo/Vr2Fp8BdWRkwnteoHBjuE0Kl6CREjL9LCSkQBMyjoyNgs+Wui1Gkb0KWBEn9sBCISjfLWzkU1rvqS28iPMtRvI3aylsD2fRCUHnWMXwbQQ9WkKLrsJl8VGnd5JvSaDFiWVdk0i2zWJbN/zAm7A7QM2o1dDpMRaSIm2kRILkK5AttlCgT2F3mnZFKfkYDceG0tPiO8nCZQQQnQxk78Go1+hMXUIarQRNeYhw1zILk0rAA3pKUQVPb0NAUqOkbWfeopJr+Xkvhmc3PdS4FLqvQEWbmlg/frVVFYsJEW/AqNSSaQ8itXtZKQ7HWckB0OCnVC6SmOGlgaHgWarmWZjAk16B82aVFpIJqwYcGkzcGkzvn7BGNAKtPqALZjUDpJibuyxdhyxDpLVCKkaLekGE1kJNgqSMihMy8VpTUKrleUXjmaSQAkhRBczdFRj7TDjNdqJdnyBSWvFYXBSp6lCpwuyWesE4OTkY3vpgp6QbjNx+ag8Lh+VRzh6Pl/tauGTjfVs3rSG/OhXpKWswWR+ly1mhW0RI+EGHfnrNYxsSiK1PRV9LJWg3UkgTY87U8GdosOTqMVtNtJqtNCqT8StteFWkvArVgKKmTqtmbr95Ubtux9V1RjUHdhUD/ZYO7aYH7sawqFGSdZoSDUYybAkkutwkp+URWZSFnq9oZu/c+L7SAIlhBBdLBZ1YY5moqoqamQr6aZ8osSo13pITqplK6UAnJiS3sORHtv0Wg0n9E7lhN6pqBeUsL3hAuZtqmf2+lrUmpWcolnLKP1qIvm1rOrnYbbJxVaNnuwmhcJ6laJ1KkPrtTjbUwkZ02m3OGk3p+AzJxI1m4kk+fEnh/HbVbyJWrxmPV6TGa/BjFdrxaNNxKPYCCgWQoqRJiWNJs23TNn6dz9q3RhUF3bVS6Laji3mwxYL4SBCkkYh1WAk3ZJItjWZPHsG2cnZmM0JUqvVDSSBEkKILqbSgoZhqNFGYhE3mckn06B4iBIjIcNNFXkAjLZbezjS44eiKBSnJ1KcnsgvT+tNvXc0H2+s558bXGzcUc4J3rVcol3DSO0aqswhlhea+LLEyAyDBk20kfyGRnrVqfSqUymp1eNsDBHRJeKzZuCzZOC3ZNCekIUvIYuQRkWNeVFjDehifjB3EEqO4nNo8Sfq8FkNeE0m2o0mvHoTXp0VryYBr2IjpBgJKSYaFRONpMH/jmypgG/3oyGAXt2IDS+2WNvuka0gdiVKsk6LU28kw5xAdkIqBUlZZCdlYzDIHoOHShIoIYToStEIgUiIoDmTaHgrAJmJvViv1KDTBWl0mFEVDflGlTTj8bN45pEm3Wbi6jH5XD0mH7d/GAs2n8hHG1zcu62BQvcOTtes5rmsnaj1aygzGlhuNfLVIAsfj9ABMcxBLUUuH7cY+9K/OkDHmoVEtjcAENIn4LNm4rNm0W7LJdZvAi31AfTNEeyqCmoHasyzO8lqAtWLTufDqAaJaBSCKYkEkqz4bWbarEbazAa8RiNevRGvzkKb1opXSSSgmAkrRppx0qx17ptsRYC23Y86L3q1CRsebLF2bGoHdkI4NCqpOi1Og4kMi51cm5Oi5FzSE5KlZut/HBMJ1FNPPcVf//pXXC4XQ4YM4YknnmD06NHf2v7111/nnnvuoby8nOLiYh588EHOPffczudVVeW+++7jueeew+12c+KJJ/L0009TXFzcHd0RQhxLOlrxBnUELOnEQsux6VMxxIzUGdxkZm1hmTIAgDFJx/fimUcSh8XAJcNzuGR4DsFIlGU7W1i49UxM5/RDH3Rz+q5FnL5jAagx3OP/RFlDGStcKyirL6PPuN+RYk4BIFxfT8fatQTWrqNj/ToC61eiVXbQ+3e/R1VV2luDtNT6aK5pp6XOR0utj5Y6H9FwDABLhoUr7h6Jt6kBj6sOd70Ld4MLT+Xuz+vriIUimLUJmLWJaE12QkkJ+JLMeO16fHYzHqOWVr0Gt86AVxefSvQqtt3JluHrZOubYkBg96MFKK9Bq1aQSBuJqo9EtQObEsauxHBoNaQYDGRYE8lLTsdpsuE0J5FitGHRao7pqcSjPoF67bXXmDZtGs888wylpaU8+uijjB8/ni1btpCWtu/c8uLFi5k0aRIPPPAA559/PrNmzWLixImsXLmSgQMHAvDQQw/x+OOP8+9//5vCwkLuuecexo8fz8aNGzGZTN3dRSHEUUz1N+EPavGZDahBN5m20USI0qRrZnjWZrZwGQCljoQejlTsj1Gn5ZQ+Tk7pszvJsCTDgInxB+AAzsw7kzPzztznXH16OvqzzsJ21llAfFX1aEsLEJ9CTEw2kZhsIn9gSuc5sZiKt6mDllofqqqi1elIysgiKSNrn+urqorf48btqsPTEE+oPPUuPI31GMpdnHfxFQwdfx5qNEa0LUzUE+x8eFq9VPjqqQw346KNJm2IFiO0GnV4dUba9Ga8ipU2JRG/YiWq6HCThFv5nxsdvplsNQN4dz9AT5gEOkjUBEnQREjURLFpVRK0Ck5rDqnWTBK0GhJ02vhHbfyjWavBsueh0WDSao7I/Q0VVVXVng7ihygtLWXUqFE8+eSTAMRiMXJzc7n55pv53e9+t0/7K664Ap/Px3vvvdd5bMyYMQwdOpRnnnkGVVXJysri9ttv59e//jUAHo+H9PR0Zs6cyZVXXnlAcXm9Xux2Ox6PB5vNdhh6GrfK62ezr+MHXycUasLvLz/o8zxuN9Fo9IDbx8JR1OCBt98jEg4TDYcP+jyAWFRFjR34j7UajaLGYt/fTlWJ8S3XVfdzvtr5n046NYpWjaJTo+hi8Y/63Z8DRBQN4aiZcMiKzq/D2hHFjhujsR2t0Y+Cik5V0MUUNCEjUbcTIgZiqASVMB1KiCBRiIbQhgKoRDFprCTqHJi1iXSofjzhZkJqAEVR0OlMaHRhdFovGsVPNOYgGk0BYmj1jUQTfYQT9MR08V9eSgzMEQ02xUx7RiJ12nYCikp/8wBStCkkaKMkJyejSeuHW3GQZDWSl2I54H+LY1Fwxxe89PANtLVfSTSwnPHFP8UfU1iZ/xoFxWVcr7xEGD1flvajl0XeoInDR1XVAx4BUmMqsfYQUU+IqC+Mud/XI6Kt7a2UN1dS3dZInc9NQ7CD1kgITyyGV9XQhoEOnYV2xYJXteBT4wnX4WRQFMxaDUaNglGjwaRRMGk0XJ/r5PKMwzt6e6B/v4/qEahQKERZWRl33nln5zGNRsO4ceNYsmTJfs9ZsmQJ06ZN2+vY+PHjmTNnDgC7du3C5XIxbty4zuftdjulpaUsWbLkWxOoYDBIMBjs/Nrr9R5qt77TOw2tPF3VeJiudih3/BzCOYdSoyh1jXuxqD4ctJBEKw5aSaSNCFrC6OkIJ6CGdSSG2rFHvCSF/aSFG7FHgjhiCVijOgK+MI1tWkKxBOxqOtaQgiEYgpAPf6CDQNRGIOqLP2IuwuhQFBsaJRuDasYYM2OK6tFGAmijIfx6MyGjHavOD7HXKY9+RrMmStAZxZ8RIWAGt2LCF0onWTOK4SYrTU3NNBuymHj2mQwcMhqXN0irP0T/zMP3BuNIFPQ2Eg1kEQvvRIMGu5rMDs12cnI2spNehNGTqtdRZJYfenF4Hcz0maJR0NqMaG37/hwmJSSRlJDEsAO8ViTSgTvYQlPAS3PAS2vIR2sogDscxBOJ0BaOopr7ENSm0h6N0h6JxT9GY/iiUfzRGB3RGB3feCMcUlVCkX3fjLvDkQPu4+F2VCdQTU1NRKNR0tP3/qOenp7O5s2b93uOy+Xab3uXy9X5/J5j39Zmfx544AHuv//+g+7DwSq2mhiX8sP/4IRDLXQEqg/6vGAwyEENWqoqHMRoUOdp3/jvIZ58xFFRiCg6IuiIKFoi6AgrOiKKjjB6FFS0RNERRqtECCgmvNiJKjr8ihU/VmrJ3ffCht2P/7mBK1utYgDrKGEdg5hPRiyM1+vE60mjpi2V9rZUoiEzNtWCXXWQGXPQL5qNDi3hWBB/pI2WYB1Vvi3Ud5Tj1qaitQxGoy0gFqkiFlmJEnOQoL2FYRufIrG9GtAAesrTYE2RwtK+zSzO+ogVkQgn2Ts4qSNA7jt/pe69bF4MnMRLkTN55JpTGFdy7N6+H25rgkgWatRDqikbJarQlrOSTHMbW5WhAJQ6rMd0rYg4vuh0ZlJ12aRas3/QdWKqSkcsRiC6+2MsRjCmEozGCMRUgrEYRZaee+NxVCdQR5I777xzr5Etr9dLbu5+/tj9QFdlpnBVZsr3N/xeRbB76whxZIpG/UQiPnyKnaZwjIZQGFcw/nBHouhQ0cZ8EKrF3VFPQ1SPK2rBFbFQHU2kRsmlhlw+5lwsqo/TNfM42/EheY51na/R0ZGAq64PlTX9qFAbWaurZFikgL5kYTekYjekUpg4iFAsQHnbeta3LiSkhvaKM2C2sWr0HWRo1qCrc2FuaiK3cRUFDWEuWhplQ77CGydoeCM/gTdsiSiqSr9QmHua3mRi4HNufWs6owonYjcfm3eghdubIZIGtOA05RAmQkLOcgB2GU6DkCxfIMT+aBQFq1aL9Qi9+e+oTqBSU1PRarXU19fvdby+vp6MjIz9npORkfGd7fd8rK+vJzMzc682Q4cO/dZYjEYjRqMMwYvDR6u1oNVaMALJBuhj/bb6mD77HGkJR1jibueL1nY+afZSFYD3mciHXMRJxipOUD+lb3AuZnM7hUUrKepVw84do6iuTuJL/RY2pLgoye1DQTQN6/YohnboYx9JXmIJq1o+QVNkxupIYsPC+UQDXxDS51KtHQFOwAm1o65mePRLlHlvMKAiwoAKFXd+Mh+W6nmnoIlNRgO/S09jTlU1Twbv4ck5ydx15RnH5ChM2NeMqjgAcBjSqUtaQ6KtmUhMz6ZoOqAy2i4F5EIcbTQ9HcAPYTAYGDFiBPPnz+88FovFmD9/PmPHjt3vOWPHjt2rPcC8efM62xcWFpKRkbFXG6/Xy7Jly771mkIcaZL1Os5zOnigTw5Lx/TnxUGFnORIIIbComAe/xf6CTdqX2WmbSZf6SYQVFsoLHqP005fR0pKALfXw+INXzFr8/u8kbgM12katMlGTBoLY1Mv5LSCSZz9019RNHwUqhpBp3xCr2FJ9B6RijlBwdOuYWH4FAJ/fAXHpKtQjEYcFS1M+m89b6w8iWRTMpU6Df9NyaaXpo4rNt3EOf/3LtPf2UBb4NBuHjhSef0NRDXxQnqHMY3WlLUAVEZPwxtVsWg1DJL974Q46hzVCRTAtGnTeO655/j3v//Npk2b+MUvfoHP52Pq1KkAXHPNNXsVmd9yyy3MnTuXv//972zevJnp06ezYsUKbrrpJiBedHfrrbfypz/9iXfeeYd169ZxzTXXkJWVxcSJE3uii0L8IFpF4exUO28M682no/pyfU4q2UY9/pjKvLZEHo1ez63aF3lF+Qm10TpKBrzBuLOqGDAgHZ1OR2trK+8tncfCnB1oT0oFjULH2iaa/7ORs669CYvdgd9Tx45lD7Lx03torfo7Cfa1xCIqiz9qYEPepRTMm4/zll+BTkf4k4XcEToDgOecKdSb0umtqeU+/wO8vHg717ywHO8xlEQ1d7QS0erQoMGqsxOxlwNQbTkRgBE2CzrNsTfyJsSx7qhPoK644gr+9re/ce+99zJ06FBWr17N3LlzO4vAKysrqaur62x/wgknMGvWLJ599lmGDBnCG2+8wZw5czrXgAL4zW9+w80338wNN9zAqFGjaG9vZ+7cubIGlDjq9U8w88fiHFaMLWHuiD78Ki+NbKMeT8zAe1zINOUf/B93sygYwJ76JBdd1MRpp+eg0Shs3rqF/2x8l6ZxRhSDhuA2N/7Z1Yz/6a9AUQj42ontXuKirWEJpRfloGgUtixz8e7zOzFfdS3J11wDQL8Xv6TQlE1z0M2fBo9lVlIK6aatPGl6mo2VDVzz/PJjZiSqxa1FjflI0CcTJooxMX4zSoW5HyD1T0IcrY76daCOVF21DpQQh1skpjK/xcvMmiY+bWnrPG5TPZzMZ5zNB2QZrFRV9mLbtkxUVUP/wr6M3JmJMahFn2VFGZtILBksdjtv/OkeWutqOOPan5OafwIfP7eBgC9Mbkky507tza7zziPS0ID7mnO5IfvjztezxmJ8UllDlVrADcFf0bffYJ69egSao3x05qU7r6apJo8sXZDMwr6ETvw/ojEtd1pmUxOM8N8hvTglObGnwxRC7Hagf7+P+hEoIcQPo9MojE+188qQXiwd059f5aWRZtDhVey8r1zEvcqDuEJtpGcs4MSTFmKzNbFp1xbeNC+n0txMuNZH6E0X+qURzCQy7JwLAFj14Tvk9HFw8a+Ho9VpqNrYwq4tPtJ+8xsAkv67gGdGPcTUgVNJNiXj02j40uGkP7uYbZjOsk27ePSTrT35rTksQh0JqLF27HonLfZNAGzkdGqCEYwahRG243uhUSGOVpJACSE6FZiN3NUri5VjB/DvQYUUW4x4cPCs+VFUbSqKUs2QoXMZOGgtwbCHj9XVbMpvBgU61jXR8NhKemeNxGix0lpXy641ZSRnWhk+IR+AL17fhumMszGW9EcNBOi/upVpI6ZxUa+LAFgwcAIkF+FUPFyn+4DHF2xn+a6WnvyW/DCqSiSUGE+gDCkE7DtRgbd1FwNwdVYKVt0Reo+2EOI7SQIlhNjHnlGp/wwuwq7Tsi5gZW7aS2RmXAKoJCWtYczYtYDKl/WrWT/ai6HQhhqO4Xl1O6UjLwFg5Qfv4Pd60Chr0WqW4XP7WfLWDhLPvxAA7zvvAnB6zqmcviZGTdkywqffDcDPDXNx0Mbc9d++gO0RL+glFrGjxtoxGh0YbC42MJhNagYmjcJNecfuAqJCHOskgRJCfKsCs5GnSvJRgJdcPlYn/Y5hQ19EozGi0Wzk9NPjhd5L13zFl86dGAcmQ1QlszqL/IQBVKxdxT9/fg0LX3wOX/OXRINr2fB5LW+vK2Rj/2to3VROqKqK/EXb+cUHMX7x3zZWONIhfRCmmJ8bdO+zdGdzz34Tfgh/C2o0ES1B3MYw1sRm3uRyID76lGE8NhcPFeJ4IAmUEOI7jUuxcUdhfIHZO7dWs0UzhD7F9wIQjb3Buef1RVEU1qxdw+q0WizD00CFUud5ZJp7EYtGSUhJBcBg2IQpQUewI4orvZQNJdfS+tLLND38KADJ7bDqi9lwxu8BmKL9iFpXLW5/aN/Ajgb+FtSYAZs+hUbbNjZqBrJV6S+jT0IcAySBEkJ8r1vz0zk7xUYwpnLxqu085B2LLvVyVDVKKPQUEyfGN9/+cvGXuEfosYxMR0HhpOxLufp3jzD17//AYDbj99RzxtWJXHjrUBRFxWPvRcWb84m63Z2vFVj0BWrxeEgpxqIEKVU2Hb11UB0txNBgM6Tis2/nTa4A4qNP6TL6JMRRTRIoIcT30igKT5Xkc1l6EgCvuVqZ2nol7+uvxR+sB2YyfPhQAN6a8xamCdkYe9nRRBWiH7WijegoOeVMANbOe5/cfskUDYnv6ViTdTIACRfF797rs6mNWz+7ja05QwAYptnG0p1HZwIVaWsmRhSjKZlyZyLblH4YiMrokxDHAEmghBAHJFGn5cmSfD4YXswImwV/TGVW5DxeVabQ1LyAfv22kpKSQltbG+++/x7JV/VDl2om6g7S/J+NDDnzHAB2rFiOt6mBwWfG78xzpY/CNOF8Mu/4DaoCvVywauN8LvMuZ5HZxAjN1qO2Dqq+qR5V9RGyWPjMfhIAV6SEZfRJiGOAJFBCiIMy3G7l3eHFPNQnB4APOZdtFFNV/U/GjbOi0WjYtGkTqzatJeUnJSgmHaHKNkwuA7kDBqOqMdZ+MpfM3g6S0ozEtEY843+GLjUV86DBAFzWXIQKvGC3MVjZxXZXCx7/0bcyeUNdC2qsncbECNs08U2ff1ZQ2MNRCSEOB0mghBAHTaMoXJOdymXpSagozNTfTRgdda6/cvrpuxOrDz+kPtiCbVweAO2Lqhl69rkArJ3/EdFIpHMUasPSJlRVJeG0UwE4ty4djaKhzGyiTq9SQjnLdh19o1DN9T60BNiSEyamaMmkgd42mb4T4lggCZQQ4pD9sTgbp0FHeSSBjyy/Q1VDqPyDkpI0otEor732Gmr/BBSzjkhzgGxzHxKSkunweti5cjl9SjPQm7S46/24dnhIODWeQEWWr+Rk51gA3kq0MkKzlbkbjr71oNpbYpgNWnYlOwAYYTz6kkAhxP5JAiWEOGRJeh0PFMdHnP7bMYwGyzjC4Vby8ufidDpoa2vjjbffxFyaBkD75zWUnHwGABs++wSDSUfBoPgSB5UbWzCVlKBzOlH9fq4Ixqfz3k5IYIhmCx+tdxEIR3ugl4euo12H1mJgpzU+0nZykrGHIxJCHC6SQAkhfpDz0xyc77QTBZ5TbkbRpeLzbeCkkxswGo1UVlayJLgJdArh6nb6Fp8IwK7VZfjcreT0i9/ZV7WpBUVRsJSWAtCnKkKyPpFmnZZoYjm+UIRPNtX3VDcPSajDRLPDRoMuHUWNckaa1D8JcayQBEoI8YM90CeHJJ2Wjf4ILyc+TgyFpqbXOOecLAC+WrWCwAATAJoNQTKL+6LGYmz6/FNy+ycD0FDuJegPYxkxHIDAylWde+R9nqBSoLiYs6q2B3p36CJREzvy4/0uYhfZSQN7OCIhxOEiCZQQ4gdzGvT8oyQfnQLvu428n/gQAB7vYwwYkAnAyth2UCCwpZUhI88GYMPC+SQkGXGkW1BVqNnixjx8BAAda9ZyRm587aivTEb+a7gf3bYPjqpVybWKmR2pNgBGGBrRaGT5AiGOFZJACSEOi9NTbDzSL37H3avtRXxi/BmRiIecnLmAysZtm/H31gGQHspFpzfQVFVBw64dnaNQVZtaMBb3RmOzofr99GrUYdTocWu1tBn8PKP7O6s+e6ununhwwgH0CWZ2JeQCcHpqUg8HJIQ4nCSBEkIcNj/KSObeXvFpu3+FzuZLZRz+jrUMGhyfxlqp2QlAcF0rfUbGF5Zc/9kne9dBaTRYhg0DILRqNUPS4p9/mLJ7+mvbJ93Wnx+ko5WaNBNtGhtGNcDJGSU9HZEQ4jCSBEoIcVj9Mi+Nn+c6AXiOG2gmmfy8CgA2V2zDmxpBDccoyYwXk2/64lOceSYUjYKnsQNvUwfmEbun8cpWMiI9/vkGR3yUyurZ0t1dOiTBRhdb8lQA+qqbSLEP6OGIhBCHkyRQQojD7t5eWZTarYTRMpfz8bYtpKQkfiv/moQqAAyVGpIyswn6fGz5ch7pBfFaoapNLVhGxpMmf1kZI9LiReVb1CZUoCBaQYM30P2dOkitayvZnpIIQKGvAkXR9nBEQojDSdfTARzvotEo4fDRt0XFscRgMKDRyHuJw0mjKPwqP53Ja3fyqTKBi9TZDBjgZeNG2OLayWBjJvZmGHvij/jgjUcpe38OQyb8HtdOD1WbWuk/ZSCKwUC0pYX+fgc6RUdjyE21TktuxM28rTs5a+SRPSVWvt3DrhF9Acg8ChI+IcTBkQSqh6iqisvlwu1293Qoxz2NRkNhYSEGg6GnQzmmnJGcSInVxEYfzGM8aW3v07v31WzfvoPKrDYG7TKR2p5OQkoq7c1NRAIbATsVG5qJxDSYBg+iY0UZsTUbGJA6gDWNa1iUkMFkdw11W8vgCE+glmh0hBQjdrUVK8U9HY4Q4jCTBKqH7Eme0tLSsFgsKIrS0yEdl2KxGLW1tdTV1ZGXlyf/DoeRoijcnJ/OLzZW8JFyPuf636VfPx3bt8O2jioGkkpwq5vSMy5l/uv/ZPPiD7ClTsHbFGTHykZSho+gY0UZ/hVljLhsBGsa17Aq0cFkdw3BmnU93b3vpMZUVmXEf5ZKYhtQkk7u4YiEEIebJFA9IBqNdiZPKSkpPR3Occ/pdFJbW0skEkGvl3V6DqcLnA4eMNVRGbCxkDOZbFyGTpdKi7uVtnwFWwXk6fpiSrThqa+jf986vE3JbF5Sx7gR8bvvOlavZsSNv+OF9S+wwRADwObdSkcoitlwZNYVhet8bEiJ31nYu2Ub1rRzejgiIcThJoUfPWBPzZPFYunhSATQOXUXjR5d+6wdDXQahV/kxffBe58LqW/6hL5943vnVSS1AtCxsokRZ10IgGvbJ6jEqN3mJpTTD4DQrl2UaOPnVMd8+BWFPkoVa6rd3dybA7dli4saYwaKGiW/vJwE45GZ6AkhDt0hJ1DhcJiqqiq2bNlCS0vL4YzpuCHTRUcG+XfoWldmJJOi19GkpLFEHUlOzgpAZVPtdrRpZtRQlD7JozBZE2itq8aRUgnA9o1+DIXxveOMmytIMcVHa7cb9PRRqli6o7GnuvS95rTE9+zry2YiNXqsRhnsF+JYc1AJVFtbG08//TSnnnoqNpuNgoIC+vfvj9PpJD8/n+uvv56vvvqqq2IVQhyFzFoNN+TE14Waw6W0dXxEv/5LaWtz4x0YH5kJftVE6UWXA+Cp/xRVDbN5aR2mobun8VatpjgpXoi9xWjCqgQpW7MGVVV7oEffb6EpftfdkMhqWkMJJEgCJcQx54ATqIcffpiCggL+9a9/MW7cOObMmcPq1avZunUrS5Ys4b777iMSiXD22WczYcIEtm3b1pVxCyGOIlOyU3DotNQquXyhnIHTuZ3+JZ+xPVSOJlFP1Buib9YYElOcBNpaUWJraW8J4i0YBcTroPYkUNts8SlBU8tmNtW19Vifvo03EmWTxQFA38ZdtFgNkkAJcQw64ATqq6++YtGiRSxfvpx77rmH8ePHM2jQIHr37s3o0aO59tpr+de//kVdXR0TJ07k888/78q4hRBHEbtexy356QDM0d1ASEkgJaWGUORRzGPjx/2LXZx4+Y8BCHcsR40FqI3Ft4XpWLeOPom9ANhhim8L01ep4u01Nd3dle/1aZOXqKIlS63GWhWkNsGCM9HY02EJIQ6zA06gXnnlFQYM+P6tCEwmEz//+c+59tprf1Bg4shz2mmnceutt/ZoDKqqcu+995KZmYnZbGbcuHEy2nmUmJqdSrZRT0NEy5qMGcRiWmy2aqqTNqLoNYTrfBRlDSU1N59ouINocBWV5SEUmx21o4Pi5vgdktvUECowQFPOu6tricWOrGm8D+ritVnD+QpPdTJujZFMh7mHoxJCHG4HVQO1YMECSkpK8Hq9+zzn8XgYMGAAixYtOmzBiWNTKBQ65HMfeughHn/8cZ555hmWLVuG1Wpl/PjxBAKy0vORzqTV8LuiTABeaDLiVUcCsG7zizDEDkD7whqGnRO/I0+NVeP3hAgOOR2A1O3NaBQNrbEAzVoNgzXl1HoCrKho7YHe7F84pjLfHZ9WHBxaR6w1CUWbLlN4QhyDDiqBevTRR7n++uux2Wz7PGe32/nZz37GI488ctiCO16oqoo/FOmRx4EW4U6ZMoWFCxfy2GOPoSgKiqJQXl7OzJkzcTgce7WdM2fOXne2TZ8+naFDhzJjxgwKCwsx7Z6CURSFGTNmcPHFF2OxWCguLuadd975zu/To48+yt13381FF13E4MGDefHFF6mtrWXOnDkH/X0X3e/S9CQGJJjwRmJ8mXI9AImJW/mwZQlRjUpwh4cMW/zOOzVaj6rGaMqI74UXWbOevMQ8ALbqDWQrjThoY/7m+p7pzH4s87TTjhab6iGzxY9GMWAzyyrkQhyLDupt0Zo1a3jwwQe/9fmzzz6bv/3tbz84qONNRzhKyb0f9chrb/zDeCyG7/8xeOyxx9i6dSsDBw7kD3/4AxBfgPJAbd++nTfffJPZs2ej1X69Js7999/PQw89xF//+leeeOIJJk+eTEVFBcnJyftcY9euXbhcLsaNG9d5zG63U1paypIlS7jyyisPOB7RMzSKwu+Lsrhq7U7e8CZRqmSRaqmlxb2BZWlGxroKUDaE0JvMhAMdqLFmaoNpZAH+VasovmAI5d5ytjnSOcFVwUBNOeVNvXu6W50+boqPzg9jBdGmTDTaGHbHgf9/IoQ4ehzUCFR9ff13rtSs0+lobDxy12YRh85ut2MwGLBYLGRkZJCRkbFXIvR9QqEQL774IsOGDWPw4MGdx6dMmcKkSZPo3bs3f/nLX2hvb2f58uX7vYbL5QIgPT19r+Pp6emdz4kj3+nJiZzkSCCkwjuGmwBIdVay0b2TjdpqgptbKSqIL19ArB6vV8VvzyFSV8dQbzyx3pYQ/zhI2UVFs79H+vG/VFVlbpMbgOGsIFafjl7vI8Nh7dnAhBBd4qBGoLKzs1m/fj29e+//Hd/atWvJzMw8LIEdT8x6LRv/ML7HXrs75Ofn73fE6pvJlNVqxWaz0dDQ0C0xiZ6hKAr39M5i/IqtLAj1YRz5FBS0UFkBZcZd9PZn0Ns0jC0sxpzQQjAInhEXYFnwNP1WNUEhbNPFp4gHaHbxYosfVVV7fEHUzb4AlYEwejVEn+A2Olr7YzRUkmU39WhcQoiucVAjUOeeey733HPPfgt2Ozo6uO+++zj//PMPW3DHC0VRsBh0PfL4oX90NBrNPnVUe7aq+Sardf/vwv93RFNRFGKx2H7bZmRkAPGR0G+qr6/vfE4cHYYkWrgwzYGKwmvKj1HVKnJy9IRiYdbrKrF6EkjUJxOLxP+tG2wlANi+WAeqyo6whygwSLMLXyhKs+/Qb0w4HFRV5c876wAYyFo63A4I6zDrW+UOPCGOUQeVQN199920tLTQp08fHnroId5++23efvttHnzwQfr27UtLSwu///3vuypW0cMMBsM++8U5nU7a2trw+Xydx1avXt0lr19YWEhGRgbz58/vPOb1elm2bBljx47tktcUXed3hZnoFFjNcDZRwuDB8cR7vb6aIGF6JQ6lvaUGVQ3T7NYQSnSiVtfRr9FAMBamWqcjX2nARnuPT+M9X9PEJ81e9IS5nFmEWvMIRvVY9R0yAiXEMeqgEqj09HQWL17MwIEDufPOO7n44ou5+OKLueuuuxg4cCBffPHFPvUp4thRUFDAsmXLKC8vp6mpiVgsRmlpKRaLhbvuuosdO3Ywa9YsZs6c2SWvrygKt956K3/605945513WLduHddccw1ZWVlMnDixS15TdJ0ii5HJmfH97V7hamLqStLT0wmrEdbpKslOKEaNxbA72wFoK50IwFk74qOZO5Pii2wO0FRQ2eLb9wW6ycb2Dv64oxaASep/yKMCfWtvglENGLQyAiXEMeqgNxPOz8/ngw8+oKmpiWXLlrF06VKampr44IMPKNy98Wd3aWlpYfLkydhsNhwOB9dddx3t7e3feU4gEODGG28kJSWFhIQELr300r2mhNasWcOkSZPIzc3FbDbTv39/Hnvssa7uylHh17/+NVqtlpKSEpxOJ5WVlSQnJ/PSSy/xwQcfMGjQIF555RWmT5/eZTH85je/4eabb+aGG25g1KhRtLe3M3fu3M6lEcTR5faCDMwahR1KHz7zJXDyyf0A2KitQqe1kKBLIsHuBqA5NV4vN3SdD1SVXY54AjVI2dljI1D+aIyfb6ggGFM5zRbhbN4nGLSQ6MtEiYRp0ySSKSNQQhyTDnl1t6SkJEaNGtWjm3lOnjyZuro65s2bRzgcZurUqdxwww3MmjXrW8+57bbbeP/993n99dex2+3cdNNNXHLJJXz55ZcAlJWVkZaWxksvvURubi6LFy/mhhtuQKvVctNNN3VX145Iffr0YcmSJfscnzhx4j4jQNdff33n59OnT99vUrW/nx232/2dMSiKwh/+8IfOpRTE0S3NqOfnuWk8UlHPa0zmPOUjMjMLqKtzsU5XSZalF6GICyjE1ayjt9VGYrOXXnVadvaxAPERqIUtPZNATd9ew1Z/gDSDjl8nLsLjAbc7g/SIFmMsREhvw9RNN2oIIbrXQY9A7fH8888zcOBATCYTJpOJgQMHMmPGjMMZ23fatGkTc+fOZcaMGZSWlnLSSSfxxBNP8Oqrr1JbW7vfczweD88//zwPP/wwZ5xxBiNGjOBf//oXixcvZunSpQBce+21PPbYY5x66qkUFRXx4x//mKlTpzJ79uxu65sQx5Nf5qXh0MaoU7J5qb6dYcMrAdigrSbNUkRLzQ4SkoxEwjH8o+I3qfSuU9mlBgHIV+qp7IERqC2+AC/WNgPweL88Iq0fA+Bxp2MIRjDTDiZ7t8clhOgeh5RA3Xvvvdxyyy1ccMEFvP7667z++utccMEF3Hbbbdx7772HO8b9WrJkCQ6Hg5EjR3YeGzduHBqNhmXLlu33nLKyMsLh8F4LMfbr14+8vLz9jqzs4fF49ruw4zcFg0G8Xu9eDyHE90vUaflNUS4Ar3EVFW3zyM/fTkSJojM78De5ye4b34y3MSG+qneaW2VXsBkVyFUaqOiBEagvWuNbtpyalMggVuPzbSIa1eJrLiAaCeJQmtBakro9LiFE9zikKbynn36a5557jkmTJnUeu/DCCxk8eDA333xzt0yvuFwu0tLS9jqm0+lITk7+1kUVXS4XBoNhn61HvmshxsWLF/Paa6/x/vvvf2c8DzzwAPfff/+Bd0AI0ekn2am8Ud/KSi/8W72O2/L/ir9DQ0tNX9LNBVjtHkDBFUqhAIV0N7RF/DRpNTijbXS0teIPRQ5oVf3DZZknXrg+xmGlvPwfANTV9cERTCcQDZOuceFJHPxdlxBCHMUOaQQqHA7vNfKzx4gRI4hEIj8ooN/97nede61922Pz5s0/6DUO1Pr167nooou47777OPvss7+z7Z133onH4+l8VFVVdUuMQhwLtIrC3/rmolNghTKGrxhN797LaNK0kmXpRYd7Bzqjlo6QlrbEXLLb4uuH7UyI38WXqzRS2Y2jUKqqsswdv2GlRFuF2/MVqqqlprqEtJgNf0wl1VCHxZbSbTEJIbrXISVQV199NU8//fQ+x5999lkmT578gwK6/fbb2bRp03c+ioqKyMjI2GfF6kgkQktLy7cuqpiRkUEoFNqnUHl/CzFu3LiRM888kxtuuIG77777e+M2Go3YbLa9HkKIA1eSYOaXufFR5X8rNxDS6fHZd5JpLmLX6q/I7RefDmtOLiG1NRq/E88WX90+T2no1jqoikCI+lAEvaJgb4z/LmxtKSEUspCm2ulQFexmF4lJqd0WkxCiex3yePfzzz/Pxx9/zJgxYwBYtmwZlZWVXHPNNUybNq2z3cMPP3xQ13U6nQe0Se3YsWNxu92UlZUxYsQIABYsWNC5NtH+jBgxAr1ez/z587n00ksB2LJlC5WVlXstxLhhwwbOOOMMfvKTn/DnP//5oOIXQhy62woyeLfRza6OJF5jMqc5VqJvMqPUqzjS4kXjbYn5GCuiJHRo2WmL34mXqzR06wjU0t2jTwMtKj73QkDL9u3xLa6cMRubw1HMjiD2JNlIWIhj1SElUOvXr2f48OEA7NixA4DU1FRSU1NZv359Z7uu3Juqf//+TJgwgeuvv55nnnmGcDjMTTfdxJVXXklWVnx9mJqaGs4880xefPFFRo8ejd1u57rrrmPatGkkJydjs9m4+eabGTt2bGciuH79es444wzGjx/PtGnTOmujtFrtASV2QohDZ9Zq+GvfXC5bvYP5jGdk8mpalHYyLUX4PVuALNpt+QCkeWDX7hrtPKWBbd04ArWn/qk4uhIAi+UMgsEEHDELRvSoQT86cxSbQ0aghDhWHVIC9emnnx7uOA7Jyy+/zE033cSZZ56JRqPh0ksv5fHHH+98PhwOs2XLFvz+r3+xPvLII51tg8Eg48eP5x//+Efn82+88QaNjY289NJLvPTSS53H8/PzKS8v75Z+CXE8OykpkbMd8LFbw2JbKSUaD6nGHLaXrwOyCBjshHVW0t0d7IjG/9/OVRqY340jUMvc8QQqr+NDQMHvPwXYijNmJxD1oQ8HUTRgtn333btCiKPXQdVA3XvvvZSVlXVVLActOTmZWbNm0dbWhsfj4YUXXiAhIaHz+YKCAlRV5bTTTus8ZjKZeOqpp2hpacHn8zF79uy96p+mT5+Oqqr7PCR5EqL7/LIgvqvBEs1JVDlqSDFmUrdtEwlJ8cVX2xJzSHNDQ6SddkUhT2mgqpsSqIZgmJ0dQRRU+rCZlOSTqamO3zyTptrwR7zoaaddNZFgkW1chDhWHVQCVV1dzTnnnENOTg6/+MUv+PDDDwmFenYXdCHEsafUYaNIqSWsGPg834pBayJB68BoqgGgLSGXvPb42lDlej05SiM1rT6isa7fGWHP9F2hthkrfuyOUmpq4nGlxez4In40iocWErF247IKQojudVAJ1AsvvIDL5eKVV14hMTGRW2+9ldTUVC699FJefPFFWlpauipOcQQ47bTTuPXWW3s0htmzZ3P22WeTkpKCoiisXr16nzbft9+hOPIpisIVtvgq30uSBxJQoiQbMwn5twPQnpBDntcAwFajEaMSISnaTL030OWxLfPEC8iLY2vjsdKHYDCITtGSpFrpiIXQaFqoJBuNpuvqQIUQPeuglzHQaDScfPLJPPTQQ2zZsoVly5ZRWlrKP//5T7KysjjllFP429/+1vmOTIj/9UNGLX0+HyeddBIPPvjgt7a57bbbePfdd3n99ddZuHAhtbW1XHLJJYf8mqJnXJ5bhENtxaO1805GlBRjJu66TahqlLaEXFLdMQA2J8brjPKUhm7ZVHhP/VNxbBUajZnmZisAKYoVDRr80Sh6bTPVupwuj0UI0XMOKoH65h12e/Tv35/f/OY3fPnll1RVVfGTn/yEzz//nFdeeeWwBXnMU1UI+XrmcYCbQU+ZMoWFCxfy2GOPdS5oWl5ezsyZM/dZ2X3OnDl73YE5ffp0hg4dyowZMygsLMRkiu9OrygKM2bM4OKLL8ZisVBcXMw777zznXFcffXV3HvvvXttx/NNB7LfoTg6pCUP40w1vr/cmwUGUi25hIMdxCI1+C1pGFvDKDGVzcb4VF6epuvroNoiUTa0dwDQj03Y7cOoqYmPbqaFHAA0hYPodS3U6/O6NBYhRM86qAn6wYMHM2rUKH76059y5ZVXkpiYuNfzTqeT6667juuuu+6wBnnMC/vhL1k989p31YLB+r3NHnvsMbZu3crAgQM7t+o5mGUdtm/fzptvvsns2bPRar/enf7+++/noYce4q9//StPPPEEkydPpqKi4nv3Hvw237ff4Z7lKsSRT6u1cKayibfVMDtsiVSmKGiqtWiUclDy8JkzSGmrYrM9TJTuWY38K4+PGJCp8ZIUbcXhGM3SJdUAZMQcdETaaIvEyDG20WjK79JYhBA966BGoBYuXMiAAQO4/fbbyczM7BxtEsc+u92OwWDAYrGQkZFBRkbGXonQ9wmFQrz44osMGzaMwYO/3h9sypQpTJo0id69e/OXv/yF9vZ2li9ffshxHsp+h+LIlW3tzVi+AOC1fCNJhnRi4Z2oqkpbQi65Xj0dRKnU67plMc09BeR92QiA1Tq0c0cEZ8xGXccujFEFgyGG21rYpbEIIXrWQY1AnXzyyZx88sk88cQT/Pe//2XmzJmceuqp9O7dm+uuu46f/OQn37qNivgOekt8JKinXrsb5Ofn73fE6pvJlNVqxWaz7bNFjzh+ZWSczIQdT/A5p/Nxpp6iPqNIXPc2BkML7Qk5DAxXsIpaNhkMFARdXZ9A7V6BvDi6EkXR0+aNL5SZoJixYKTOvwNTOAvVoEU1yyKaQhzLDmkvPKvVytSpU1m4cCFbt27lRz/6EU899RR5eXlceOGFhzvGY5+ixKfReuLxA1eL12g0qP9TRxUOh/dpZ7Xuf5pQr9f/z7dCIRaLHXI8B7PfoTjyZWScSAG7GK++D8DzY0ZQk55LLLyTtoRcevvjZQSbDQZ6K7VUNvu6LJa6YIiV3niC1peN2GyDqKiIv/FJiyQSU6PUd1RgCQRo1TlINOu/63JCiKPcISVQ39S7d2/uuusu7r77bhITE3n//fcPR1ziCGQwGIhGo3sdczqdtLW14fN9/Ydrf0sLdJdv7ne4x/72OxRHB6MxlVg0jR8zk/7ecsJaDW9N+DFNxkZ8CVlkeuJJykajAZviR++vpy2wbwJ/ODxSXk9IVRmkbySDOqyWYZ3TzQXRNBoD1UQUI+agh0adkwSjrAElxLHsByVQixYtYsqUKWRkZHDHHXdwySWX8OWXXx6u2MQRpqCggGXLllFeXk5TU1Pnxs0Wi4W77rqLHTt2MGvWLGbOnNllMbS0tLB69Wo2bozXoGzZsoXVq1d31jd9c7/DTz/9lLKyMqZOnbrXfofi6JKVNQ4NMX5lvJ+8di8dZitvjh9PuyGKflcHqCqbTCZUoI+mmqqWjsMeQ0VHkFl18XWpLldeQwGqqkwEg0FS9Q4KY2nUdexE0dgxBt1Ua7NIMEkCJcSx7KATqNraWv7yl7/Qp08fTjvtNLZv387jjz9ObW0tzz33nPyROob9+te/RqvVUlJSgtPppLKykuTkZF566SU++OADBg0axCuvvML06dO7LIZ33nmHYcOGcd555wFw5ZVXMmzYMJ555pnONo888gjnn38+l156KaeccgoZGRnMnj27y2ISXatPn9vR6XphM3i5TX8nSQEfLUlO3hpjosOnpVeDFq8CdTotfZSqLqmD+lu5i4gKpzgMFAU/BTSsWNEKwIhAAQoKdf6dKBobRFupVPNINMkUnhDHMkX93wKW73DOOefwySefkJqayjXXXMO1115L3759uzK+o5bX68Vut+PxeLDZbHs9FwgE2LVr115rIomeI/8eR75w2M38j85Db3GxK1zMfdo/EtXqufHNj0nlPf4xqpVH6xtp8pbiPfsRrj+l6LC99lZfgNOWbyYGvFxYDzt/STSaw+IvTyfHmcX4qn6EtSHe2v4oOtMJ9CufzwMnXMkvL5nA5aNyD1scQoju8V1/v7/poEag9Ho9b7zxBtXV1Tz44IOSPAkhuoVe72Bw4lP42lIo1G/jgsgcAF4afzLFO+I3Qmw2GOijqaai5fAWkj+0q44YcE6qnZzgEgBcrnjx+lj7QBQUmtX4FLKitRPWtFKlpssUnhDHuINKoN555x0uuuiig1r/RwghDoe0of0xr/wZoZCJiYY3SPE14Ekw8+aoc8hoUanR6ShWqqlrPXw1UOva/LzX6EEBpuUmUt/wHgAedxrFxcWkNMRXQa9u2wqARrUQMHYQRUuiJFBCHNMOOIGqrKw8qAvLXnhCiMNJZzfSO7kEl6s3eiJM9v0LgLdPPZuixnzq9DoSlADR1qrD9pqPVsS3abk4PQlT03OEw610dDhobs7hhJFjiDTE661qmjcDYI7ECJjiv1blLjwhjm0HnECNGjWKn/3sZ3z11Vff2sbj8fDcc88xcOBA3nzzzcMSoBBC7JEyIItQ7VBUFUqdyxlUVUlMo2H1gGup1ZsBSGzbdlheKxxT+aylDYApzghVVS8CsGP7cBRFS0o4Po2nJOkJRv2ADlMoQMAUn1KUESghjm0H/H/4xo0b+fOf/8xZZ52FyWRixIgRZGVlYTKZaG1tZePGjWzYsIHhw4fz0EMPce6553Zl3EKI45CpJIXMT4tobc0iObmWH7XPYqf/V1Rk9cJffzYxniUzVE4gHMWk/2GlBqvb/PiiMZL1Wox1j9CmhjAahtHamkV6ehpqdXz0KZoUvw9H0dgx+d247fH3pXIXnhDHtgMegUpJSeHhhx+mrq6OJ598kuLiYpqamti2Lf5ub/LkyZSVlbFkyRJJnoQQXUKfaaXAkkVdbR8A8gtWc82X8b3ympxX8HHSUPpqqqnzBH7wa33eGh99Gm0N09T0IaAhGLoQUMjMzCRY4QHAb4hv76JobZiCbjp2T93JFJ4Qx7aD/j/cbDZz2WWXcdlll3VFPEII8a0URSFnQAGBVYUEAssxmfycatrI1uUW5o8+iVv7TeepFX+gztNBYer+tw86UF+0xhOjoo4PAMjKupyyFfH3nJkZmYRWxJ9vjcX3bowvoukiYNShKGAxyM02QhzLfvBWLkII0Z0sA1LJiabhchUDEOm/i1+/9BwprRW4DUk8OPBnVP7AO/H80RgrPPHlEHoF5qLVWikqvJW6ujoAnDo7RGJoLDqaPNUAnauQB/QGEow6lB+4z6QQ4sgmCZQQ4qhiLLSTr03D5eqNGlNQUqpRCgNc9f7DWCJe1tr68W9v6z6bXB+MFR4fIVUlTRcinTqSksYSCBjw+XwoioKjPV6wbsiz4W3cvQaUxo4p2EqH0YhN6p+EOOZJAiUO2Gmnncatt97aY68fDof57W9/y6BBg7BarWRlZXHNNddQW1u7V7uWlhYmT56MzWbD4XBw3XXX0d7e3kNRi8NN0WkoKi4iGrTS1JQHQPOvIgwbWMv5NX9Ho0ZZpcT4d23zIb/GnvqnYboaFCAhoe/Xo09OJ2p1fHTKUGDDXf91AmUMtuLTW6T+SYjjgCRQotuFQqFDOs/v97Ny5UruueceVq5cyezZs9myZQsXXnjhXu0mT57Mhg0bmDdvHu+99x6LFi3ihhtuOByhiyOEfWAGWbEktm8vpbmqGDRgHBLj3Oz13NT4AgB3b6tmqfv7E+f9jVTtqX8qYQ0ACda+nYl6VlYWwQovAJoMA4H2eLKlxYQu0kG7PkFWIRfiOCAJlDggU6ZMYeHChTz22GMoioKiKJSXlzNz5kwcDsdebefMmbNX/cf06dMZOnQoM2bM2Gu/OUVRmDFjBhdffDEWi4Xi4mLeeeedb43Bbrczb948Lr/8cvr27cuYMWN48sknKSsr61zoddOmTcydO5cZM2ZQWlrKSSedxBNPPMGrr766z0iVOHqZB6SQrSYTiRjZufkkkv5uQVehoNfCaOdc+rfvIKLCT9eXUxv49oR9QbOX4Us28n876zqPecIR1rTFlyjoHVwA7D0ClWF3EmsLg1bBr9+9bYxiwhzyEVPAr02QNaCEOA4clgRq5cqVXHXVVZx77rn89re/ZdeuXYfjsscNVVXxh/098jjQOpHHHnuMsWPHcv3111NXV0ddXR25uQe+Uer27dt58803mT17NqtXr+48fv/993P55Zezdu1azj33XCZPnkxLS8sBX9fj8cRrUnYncUuWLMHhcDBy5MjONuPGjUOj0bBs2bIDvq44sil6LZkpDjSqQsAYoZ4BOB/Ssa5RF992xXwffU0qTeEIU9fvIhCN7XONL1vbuHb9LuqCYR6tqOfjpviyBEs9PmJAoUmDI1aDRmPAZMrvTMBTogkAGLIT8LZ84w68QCvtZgirVpnCE+I4cFj+L7/iiiu4//776d+/PytXruSSSy7hwQcf5Oyzzz4clz/mdUQ6KJ1V2iOvveyqZVj0lu9tZ7fbMRgMWCwWMjIyDvp1QqEQL774Ik6nc6/jU6ZMYdKkSQD85S9/4fHHH2f58uVMmDDhe68ZCAT47W9/y6RJkzp3zHa5XKSlpe3VTqfTkZycjMvlOui4xZErcWAKfRZmsVlXw9aSYgp2rGHlBg2nDfRBKtwU+h336B5iTVsHt2yu5E/F2TgN8eLuMo+Pq9ftIhBTSdXraApHuH1LFZ/arJ31T6Ms7dABFktvfL6OrwvIPQaCgCHfhqehHNhTQO6mzQyhqFVGoIQ4DhyWEaikpCSuuuoqhg0bxnXXXccnn3zCHXfccTguLY4R+fn5+yRPAIMHD+783Gq1YrPZaGho+N7rhcNhLr/8clRV5emnnz6ssYqjg71fFoV+KxpVodWqpcHpxOlWSNnup8ObQHJ0O7cqT6MB3m5wM2zxBq5bv4uXa5uZtHYH/miMU5IS+LK0H30sJhpDEe7YUsXnu+ufhmgrAEhI6NM5+uR0OonVxhfpNOTZ8DTE98pTNDaMwfgIVDCWKKuQC3EcOCxvk3r16sXf//53pk2bttd0ijgwZp2ZZVf1zPSSWWf+QedrNJp9pgHD4fA+7azW/S9qqNfv/YdGURRisX2nW/73+pdffjkVFRUsWLCgc/QJICMjY58ELBKJ0NLSckgjZ+LIZU/PwOXdTF9LLpt0NawfNJB092fUZ+nwrc3Bcqqb4tA8/i/9VGZ1jGB1m5/3Gz283xifqhttt/KvQYVYtVqeKsnj3LJtfLh7Gg+gb6yMIJCQ0I+dO+L1T1mZWYTL4vVR+kwrnobdd+Bp7RiDVTQnKHREbTKFJ8Rx4KBGoCKRyH6PB4NBnn76afLy8pgwYQIDBw5k3Lhx1NTUHJYgj3WKomDRW3rkcTCL/RkMBqLR6F7HnE4nbW1t+Hy+zmPfrHE63PYkT9u2beOTTz4hJSVlr+fHjh2L2+2mrKys89iCBQuIxWKUlvbMNKnoGnqDkQalhkHhXDSqQmNaGokRJy6tlqRwBz7DNQD09b3M3JF9+HRUX27IcZKq1zHGbuWlwUVYtfHVwgclWvhN4dcJ9sAEM1r/WmDvO/DS7akQiYFOQZds+sYIVHwKr90M/miiJFBCHAcOKoHKz8/nwQcfxO1273V89uzZbN++nc2bNzN9+nRuu+02gsEgkyZNonfv3oczXtGDCgoKWLZsGeXl5TQ1NXUmJRaLhbvuuosdO3Ywa9YsZs6c2SWvHw6Hueyyy1ixYgUvv/wy0WgUl8uFy+XqXBqhf//+TJgwgeuvv57ly5fz5ZdfctNNN3HllVeSlZXVJXGJnpOYlUqrr5x+0WwAfGkDqdPqSFbaqO4YhaLoaG/fhM+3k/4JZv5QnM36kwYyZ3gxNt3eW638Mi+N0fb4SOkpDgsdHeUAWK3fmMLTOQDQOy2ggKfx6wTKGGil3QQBNVFqoIQ4DhxUAnXrrbfyj3/8g9zcXG655ZZ97razWq2MGTOGG264gSeffJJFixaxffv2wxqw6Dm//vWv0Wq1lJSU4HQ6qaysJDk5mZdeeokPPviAQYMG8corrzB9+vQuef2amhreeecdqqurGTp0KJmZmZ2PxYsXd7Z7+eWX6devH2eeeSbnnnsuJ510Es8++2yXxCR6liMjk11t6xkSyUejKrQ7nNSGRpCMl2qPnuSkEwBoaPjge6+lVRT+NbCQPxVn89NUD6oaRadzEAiYOgvIk8LxBEuXbsHvcRMJBgFQNImYgq0ETRBGLwmUEMeBg0qg7rjjDnbu3Mmzzz7L0qVL6dOnD5dddpncHn6c6NOnD0uWLMHvjy9/UFBQAMDEiRPZtm0bfr+fd999l+uvv36vuqjp06fvd1pPVVUmTpy41zG3282UKVP2+/oFBQWoqrrfx2mnndbZLjk5mVmzZtHW1obH4+GFF14gISHhB/ZeHImSMrJoDFRiiGk5IdIXADUwlBolm8a2IGlp5wEHlkABpBh0/DTHiRLYAsTXf6quju91l5GRgdIUH+nUp1mo2hCf4lM0KeiIoYsGCJviP/cJRikiF+JYd9B34Wm1WiZNmsSyZctYsGAB0WiUE088kRNPPJG33nrrB+0/JYQQB8OenkGMGA3hWvpFsyl2x28oWKCcRKy5HKfzLBRFT7tvCz7fjv1eIxJpw+NZRTjc2nmsvX1PAtWHqqoqAPLy8gg37C4gT7ewfUX8jaPGUIQxEi8+D5viNYWyErkQx74ftIzBySefzFtvvcXWrVsZMWIEU6ZMoU+fPocrNiGE+E7JWTkA1Pg2AjBUOxR/ZCcqGrI8G2hpCZCcfCKw9yiU272CNWt/xpeLT2HhoqGsKLuMFWWXE43Gp+TafVsBSLD261zlPicnh8juBEqTYqB8dfxGBa2+F0Z/fN89X0I8gbKbZQRKiGPdQb1Nuu+++/B4PPt9uN1u/H4/O3fu7KpYhRBiL878QtKLelNTvhU1aQJ2vZ705ggJGZXUqXmUlZUxdNg5NDd/Rn3DBxQW3kxz8yLWrvsZsdjXW7woig6/fyflFf+gV9FtnSNQRmMRLteHAGQlptERdoNOwVW/g6Dfh96UiKLNxOSP14OGE7Tgh7REY7d/L4QQ3eugEqg//vGPmEwmpkyZwvDhw7Hb7dhsNmw2W+fndru9q2IVQoi9KIrCiVdczewH7qMpWI3TlEs/dRg+w+vUBfPYuGkTZ555LYqix+fbSmXVv9ix4yFisRCpKWeQl3cdCQn9aW1dwrr1N1JR8U9Skk8mFIqvJebxWFFVFZvNhqVDRwegT7WwdeVyAGzO/vjaFUwBN14zGLR6LAYtVlnGQIhj3kFN4c2fP58zzjiDF154gbKyMoYPH87EiRM544wzGDFiBMXFxftsoyGEEF2pYMhwsvr0p8Yfv+M329gLj7GemKrS3taGy+UlOfkkALZt+xOxWAhn6lkMGvQUSUlj0OvtOJ3jSU05A1UNs279TQCYTLnU1MSn5nJzcwnXx6fvdOkWdpTF65+M1uL4x2ArDQ4wR/Q4ZfRJiOPCQSVQp59+Ou+99x5r1qzBaDRSWlrKhAkTmD9/flfF951aWlqYPHkyNpsNh8PBddddR3t7+3eeEwgEuPHGG0lJSSEhIYFLL72U+vr6/bZtbm4mJycHRVH2WftKCHFk2DMKVbs7gUo2pVCjs6BR4/VMGzduJD3t3M72Tud4Bg58Ao3GsNc1+vSZjkZjJhRqBOJ34O2pf8rNzSWyO4EKGYN4GxvQGYzElPiG2qZgK/UOBVPEJNN3QhwnDqmIvG/fvvzzn/+kvLycMWPGMHnyZIYNG9a5uGF3mTx5Mhs2bGDevHm89957LFq0iBtuuOE7z7ntttt49913ef3111m4cCG1tbVccskl+2173XXX7bVXmxDiyJQ3cDCmtGTawi1oFA2GyFASVTcQT6BSUs7C4SglK+tKBg54DI1m3yJvszmboqJbOr+2Woo7lzD45h149S3xeqf8wUPxu+O/74zBVuqTQBcxywiUEMeJH3QXntPpZPr06WzevJlLLrmEX/3qVxQVFR2u2L7Tpk2bmDt3LjNmzKC0tJSTTjqJJ554gldffbVz1eD/5fF4eP7553n44Yc7px3/9a9/sXjxYpYuXbpX26effhq3282vf/3r7uiOEOIHGn3JJGr98aUKenuHkaa60Oj0tLW14XK1MmL4LPr3+/N+k6c9cnOmkJBQEv9C6U0gEECv15PmTOu8A2/H9vjdd/mDRhIK7Emg3NQ7FLQRC84ESaCEOB4cVKXjpZdeut878MLhcOf6T9011bVkyRIcDgcjR47sPDZu3Dg0Gg3Lli3j4osv3uecsrIywuEw48aN6zzWr18/8vLyWLJkCWPGjAHi71j/8Ic/sGzZsgO+qzAYDBLcvSoxgNfrPdSuCSEOQZ+xo1g+4w362mFkxwjWmBZidubiq9vJhg0byMvL+95raDR6hg/7D17vGnbtsgKryc7OhrYIajgGWoWKHWsASMkbAGxHFw2giwZpcGjIDiXKCJQQx4mDSqAsFgtZWVk4HI7vfHQHl8u1T8G6TqcjOTkZl8v1recYDIZ9YkxPT+88Z88efn/961/Jy8s74ATqgQce4P777z/4jgghDguNVoM/ZqU5WEuKMYs0dRRb7TlQt5ONGzcyfvx4NJq9B92j0SiRSASj8eukR693kJJyKp9/PgfYU0C+e7NsuxZVjWFKtKHGLAAYAy0AeOwqoQYLBZJACXFcOKgE6j//+U9XxdHpd7/7HQ8++OB3ttm0aVOXvf6dd95J//79+fGPf3zQ502bNq3za6/XS25u7uEOr0eddtppDB06lEcffbTHYpg+fTqvvvoqVVVVGAwGRowYwZ///GdKS0s727S0tHDzzTfz7rvvotFouPTSS3nsscdkO5fjQKo1jw2tSzgl41KyQycTwoHBYKCtrY3q6urOUaiOjg5WrFjB0qVLCYfDXHnllfuUH+xVQF4Xn74Lm+JrR6Vk5+Jzxz83BVqJaEBviuHDTFqiqbu6K4ToQUfcYiW33377t+6FtkdRUREZGRk0NDTsdTwSidDS0kJGRsZ+z8vIyCAUCuF2u/cahaqvr+88Z8GCBaxbt4433ngDoHNqMjU1ld///vffOspkNBr3ehcrvl0oFMJgMHx/w/3o06cPTz75JEVFRXR0dPDII49w9tlns337dpxOJxC/uaCuro558+YRDoeZOnUqN9xwA7NmzTqc3RBHoGSHiTVtWpoDtaSYsuhXHUTTty/r1q3jxRdfJDk5GbvdTkVFBaHQ1wtpvvLKK0yePLlzf0efz0dLS3xkKScnh8Dq+HYu7bH4li0pObm0tQaA3UsY2CFVjeJXTTKFJ8Rx4gcVkXcFp9NJv379vvNhMBgYO3YsbrebsrKyznMXLFhALBbbazTim0aMGIFer99r2YUtW7ZQWVnJ2LFjAXjzzTdZs2YNq1evZvXq1cyYMQOAzz//nBtvvLELe35kmzJlCgsXLuSxxx5DURQURaG8vJyZM2fuMyU6Z84cFEXp/Hr69OkMHTqUGTNmUFhYiMkUf4euKAozZszg4osvxmKxUFxczDvvvPOdcVx11VWMGzeOoqIiBgwYwMMPP4zX62Xt2vjGrodyc4E4djjSzWiNg1jv/hKAEc3/396dx0dV34v/f53ZM5PMDJNMGCIkYQ/I2qghShElCkVbWa5e+OX6NYrQBbSA2ir32xq8vahoQeRLSy2UyIOtl4IKirRcFVAJwUYRoRDWEMnGkn2dycz5/TFkYEyABAnZ3s/HYx5kznzOOZ9zEmbe8/5sHuIHDUev11NXV8fZs2c5duwYbrebyMhIJkyYQJ8+ffB4PKxdu5ZTp07x5ZdfsmrVKsD/xclsNuMp8DfhFVX6/4bCu0dTUezv8+ifA0rB6fVSiVECKCE6iTaXgWqqAQMGMG7cOKZPn87y5cvxeDzMmjWLKVOmEBUVBUBubi5jxoxh9erV3HHHHdhsNqZNm8bcuXNxOBxYrVaeeuopEhMTAx3Ie/fuHXSe8+fPB87XUv27VFVFra5ukWNfixISEhTsXMmSJUs4evQogwYN4qWXXgIIZHya4vjx42zatInNmzej1WoD2+fPn8/ChQt57bXXWLp0KcnJyZw+fRqHw3HNY7rdbt566y1sNhtDhw4Frm9wgeg4ukR3QXPYSmHlPwJZqNDj8Otf/5rS0lKKioooKSmhS5cu9O7dG0VRuPXWW1m/fj0nT57k7bffDhzLYDCQlJSEt9KDJ98fQJ0551/iJfyWaL7N8megTDVFHL0FIuu85GDCYbm+7KoQon1ptwEUwNq1a5k1axZjxowJ9HV58803A697PB6ysrKoqqoKbFu8eHGgbG1tLWPHjuUPf/hDa1Q/QK2uJusH8a1y7v5fZqKYzdcsZ7PZMBgMmM3mKzaRXo3b7Wb16tUNgq6UlBSmTp0KwIIFC3jzzTfZt28f48aNu+Kx3n//faZMmUJVVRXdunVjx44dREREANc3uEB0HOH9olD+cQaNcSAHSz7jbtcjVGbkY703mvDwcMLDwxvso9frmTJlCuvWrSM7O5uwsDBGjBhBfHw8JpOJqq/Pggq6yBAK9/mnSQjv3oPyIv+Cw/WTaA7wetGawtBr21xiXwjRAtp1AOVwOK7aryU2NjbQh6meyWRi2bJlLFu2rEnnGD16dINjiOaLiYlpNGN1+USlFosFq9XaoG/bd91zzz3s37+f8+fP8+c//5lHHnmEjIwMWUZIENqrO3r3v/DqulFQsZcizzkcOKncV0DY3d2vuJ/BYOA//uM/yM/Pp1u3buh0l94aa46WAKBG6VBVH0azBbO9CxVF/iY8U00RhXa42+vFZLG25OUJIdqQdh1AdRRKSAj9v8y8dsEWOvf3odFoGgSYHo+nQTmLxdLo/np98KSGiqLg8/muek6LxUKfPn3o06cPI0aMoG/fvqxcuZIXXnjhugYXiI5DYzZjcV/Abe4KwPGSL7jDOZ6KPXmEjrwFRXvl5mqdTtdg5KyqqtQc9Xcmrwjxz+3m6N6Dmoo6vHU+UH0Ya0v8faDqvJgdspi6EJ2FBFBtgKIoTWpGa20Gg6HBUj1Op5Py8nIqKysDQdL+/ftvar18Pl9gEtPLBxfEx/ubRa81uEB0LGHaKko0ZrxaPacr/0X8LeOhtJbqg+cxD216vz0AT34lvnIPil7D2epsACK6R1Ne5O//ZHCXoVG9FNq1RJ71EmqVAEqIzkIa60WTxcbGkpGRQXZ2NufPnw8EJWazmXnz5nHixAnWrVtHWlpai5y/srKSefPmsXfvXk6fPk1mZiZPPPEEubm5PPzww0Dw4IJ9+/bx+eefNxhcIDq2MIs/I6rR2PCpXvLDSgCo+Cy32ceqOVoMgLG3nQt5p4GLI/CKLnUgLzdBjVEhwuvFarN//wsQQrQLEkCJJnv22WfRarUMHDgQp9NJTk4ODoeDNWvWsG3bNgYPHsz69etJTU1tkfNrtVqOHDnC5MmT6devHz/+8Y+5cOECn376Kbfeemug3Nq1a4mLi2PMmDGMHz+ekSNH8tZbb7VInUTbYw/3NwvrNLcAcKTyG9AquL8tp/Z085ZYqr0YQJn6deHCGf9cUOG39AhkoEy1RVywQpjXh+LTERHWeFO1EKLjkSY80WT9+vUjPT29wfYJEyYwYcKEoG3Tp08P/JyamtpoUNVY5/yrraVoMpnYvHnzNet5rcEFomPrGhMG50Cj74O39muK845ivu/fqMospOKzXIwxTevo7autCwRc+t5hlBT454BydI/m2/rAqqaIolCFSG8dlZiItMos5EJ0FpKBEkJ0KGGxLsxVhWi0/o7kvtLz6OPtAFR/c57qI0VNOk7tiVLwqmjDTVR4ivF5vehNIYSFR1B+ob4Jr5jiMHB6L85CHiqTaArRWUgAJYToUIz9+mErPYGiMeHW+ye1vFCRS+id/j5wxX87irfcfbVDoNb5qD7on0TX33znXxcvvHsPFEUJzEJuqi2iKNQ/iWYFJpxhMommEJ2FBFBCiA7FEB1NhKkCAL3iH3VXeOIYth/1RNfVjK/CQ/HfjjbahFz+WS6FS74k98U9VH3pnw4juP+TfzHi8ss6kReFKXTx+ajChN0sAZQQnYUEUEKIDqf77b0A0GtiAcg/cQxFryF8ahzoFGqyiqlMzw/apyI9j9L3T/qXbfGqaMw6QoZEYOobnIHy1HqpqfDPdWasLaYoDCw+H5WqiTCTdCsVorOQ/+1CiA6n24Oj0C/MwqfzN9t9e9S/7IreZcH2o56Ubj1JydYT+KrrCLunB7UnSijZ6l+mJWx0DywJLrR2Y2CdyHOnTwH1iwj7s09abw26umqKwrRYfCo1mhCMOu13qyKE6KAkgBJCdDim/v0Jrf4QtzUOFXCXXqCqtASzzU7onVHUna2iMqOAsh2nqT1VivtMOfjA/INIrGNjghbYrq4opyjvDACuPv04f+Zi8131BRSgKAzMVT48mrY/Ga4Q4saRJjwhRIejKAoG21kUxYhW8c/NlHf8WOC1LhP70uXf+qHoNdQeL0Gt8WKIsdJlUt+g4Akg/9gRALp0uwWz1XZpBF5tMV6tQkUIWHwqbn3oTbxCIURrkwBKCNEhWQf5J9TUaP1rIB44eCTodcttXYmcOQx9Nwv6bhbCHx2Aomv4lpiX5d8vql8cwKUReDVFlFt1qIqCxeejTicBlBCdiTThCSE6pOg7+3H8azeqzgl1JziadbJBGb3LQtdf/gBVVRtknurlHzsMQFS/AQCBDJSxtogSqxaoI0RV8RqbNkGnEKJjkAyUEKJDiu42CL07G43WAUDN+fwrlr1S8OTzesk/5u+AXp+BujSFQTFFF5NOFp8PVQIoIToVCaBEk40ePZrZs2e3djUCfvazn6EoCm+88UbQ9qKiIpKTk7FardjtdqZNm0ZFRUXrVFK0GrOjN/jOomj8AZSx8kKzj3EuJxtPbQ2GEDPh3f1zQNWPwjPVFHE+1D+XlMWnQogEUEJ0JhJAiZvO7b76LNBN8c4777B3716ioqIavJacnMyhQ4fYsWMH77//Prt372bGjBnf+5yinTGGgXIORdsFAENdNdXlzVtMOP+ov/9Tt779UTQafD6ViqJLs5CftdQBYFZ9aE22G1h5IURbJwGUaJKUlBR27drFkiVLUBQFRVHIzs4mLS0Nu90eVPbdd98NahJJTU1l2LBhrFixgp49e2Iy+RdcVRSFFStWMHHiRMxmM3379mXLli3XrEtubi5PPfUUa9euRa/XB712+PBhtm/fzooVK0hISGDkyJEsXbqUDRs2kJeX9/1vhGhXNMZiFEWPovinGCjKPdOs/fOOBvd/qip14/OpKKoPY20pFy7LQOnM9htXcSFEmycBVBugqiqeWm+rPBpbzqIxS5YsITExkenTp5Ofn09+fj49evRo8jUeP36cTZs2sXnzZvbv3x/YPn/+fB555BEOHDjA+PHjSU5Opqjoyou9+nw+Hn30UZ577jluvfXWBq+np6djt9u57bbbAtuSkpLQaDRkZGQ0ub6iY9CFVgMEmvEKvs1p1v6BAKq/P4DKPVoMQEhdKQoqRWEKiqpiUlUMFvsNqrUQoj2QUXhtQJ3bx1u/3NUq556x5G70xmvPnmyz2TAYDJjNZlwuV7PP43a7Wb16NU6nM2h7SkoKU6dOBWDBggW8+eab7Nu3j3HjxjV6nFdffRWdTsfTTz/d6OsFBQVERkYGbdPpdDgcDgoKCppdb9G+WboaqMgGRRcB3jMU5DQ9gKosKab0bCEoCt369EdVVb7+yL8mnqtgLwBFoRCiqmgAY6j9xl+AEKLNkgBK3BQxMTENgieAIUOGBH62WCxYrVbOnj3b6DEyMzNZsmQJX3755RVHTQlxOWtML4qOllN3MQN1oZEmvDqPh51v/5nInr0YfO/YwN9WffYpokcMRrOZvGPFnMspR6tTiMr5BIDiMLD5fACEhDluxiUJIdoICaDaAJ1Bw4wld7faub8PjUbToBnQ4/E0KGexWBrd/7t9mBRFwXfxA+m7Pv30U86ePUt0dHRgm9fr5ZlnnuGNN94gOzsbl8vVIACrq6ujqKjoujJnon1z9ImncMs5asz+4Ka8sGE/uOP79vD1jm0A5Bw8wP0/fYqSgnz2vbsRuDR9wf7/9Wef+g40Y/jfStRQM269G4tbxaNqCQ0NuxmXJIRoIySAagMURWlSM1prMxgMeL3eoG1Op5Py8nIqKysDQdLlfZxupEcffZSkpKSgbWPHjuXRRx/l8ccfByAxMZGSkhIyMzOJj48H4OOPP8bn85GQkNAi9RJtV2TMELKr/0ZpmL8PU03RWbx1dWh1l976sr/+KvBz1p7d5B4+SEVJMagqWr2eQffcR8nZKk4dOA9AXIybMsAbYQfOEqKqlBOCNST4y4AQomOTAEo0WWxsLBkZGWRnZxMaGorD4SAhIQGz2cy8efN4+umnycjIIC0trUXOHx4eTnh4eNA2vV6Py+Wif//+AAwYMIBx48Yxffp0li9fjsfjYdasWUyZMqXRKQ9Ex9Y1vAc6zzlQbge04PNSUphP+C3+ARCqqnL6wJcA3PXIf/D1jm1UFPsHMfS/cxQ/nPoYtsiu7P7rUVAhZlA4ltqTlAEeRxhwFovPR7lqlgBKiE5GRuGJJnv22WfRarUMHDgQp9NJTk4ODoeDNWvWsG3bNgYPHsz69etJTU1t1XquXbuWuLg4xowZw/jx4xk5ciRvvfVWq9ZJtA6j1oiqnkdRFDRafxNbcV5u4PXz356morgIncHIbT+exH+8soS7HvkPpv7X6zz4y19hi+wKQG6Wf/TdwJFR1J0tBKDW4c+4WlSVcsyEmeT7qBCdifyPF03Wr18/0tPTG2yfMGECEyZMCNo2ffr0wM+pqamNBlWNTaFQUlLSrDplZ2c32OZwOFi3bl2zjiM6MF0pABqNA5+3hKK8Sx3Js7/2Z596DByEzmBAZzAwYvKUoN1Vn0rpOf90COG3WKg+52/Kq7b55zMz+3xUKmaMurbfDC+EuHEkAyWE6NAUi3/pFbT+bFJjAVTMkB9ccf+Kklq8Hh8ajUKYw0TdeX8AVRHmb7Iz+1RqNI0PkhBCdFwSQAkhOjRNFyNaby3KxUWF6wMoT20NuUcOARA79MoBVH32KSzChEaruRRAWf0JfIvqo1YX2mL1F0K0TRJACSE6NEOkk5Dqc4HZyItzz6CqKmcOH8Lr8RAW7sRxS/cr7l96tgoAm9O/HEzd+XMAlFn880WZfSoenUxhIERnIwGUEKJDC4l0EVJ9HkVrB6CmsoKjez/j1P5/AhA7dPhVJ2YtPevPQNkjQwDwnr8AQJE/nsLi8+E1SAAlRGcjnciFEB1amCuasupsFEWPRh+Gz1PO+2+8Gnj9as13cKkJzxYZgq+qCl9lJQBFZh9UgVlV8RklgBKis5EMlBCiQ+sS1ZOQGn+zW5j9Tm6f8AhGs7/Tt0arI3rQsKvuX3ruUhNe3QV/9kkxmSjR+Tunm30+MFlbqPZCiLZKMlBCiA4t8pa+5FX7O377VBdx439MwkOTOfzpTqyRkZhCr9wBXPWpgSY8W2QIdWf8ixHrwsOpqvNvt6gqZSZ7i16DEKLtkQyUEKJDC+kaRWjFt2i8bjzecD7fcBSDycywsQ/Qa/jtV923stRNnceHolEICzdRd8EfiOkiIqjy+DNTFp8PrdnW4tchhGhbJIASQnRoGoMBr7aaWw+vAnzkfXWezzcdb3Qi1++qb74LCzeh1WrwXpzCQOuMoLLO3xfK7FPRm+0tVX0hRBslAZQQosOrsZlwnj9AuOEvAHz90bec+PLcNfcLjMBz+kfg1Z27lIGq9FwMoFQfhlB7C9RaCNGWSQAlmmz06NHMnj27VeuQkpKCoihBj3HjxgWVKSoqIjk5GavVit1uZ9q0aVRUVLRSjUVb4O3iHyWn+vZi6+UFIP9EyTX3C3Qgj6yfA+pSAFXtudgHyqcSEtrlRldZCNHGtesA6no+KGtqapg5cybh4eGEhoYyefJkCgsLG5RLS0tjyJAhmEwmIiMjmTlzZktdRqfjdru/1/7jxo0jPz8/8Fi/fn3Q68nJyRw6dIgdO3bw/vvvs3v3bmbMmPG9zinaNyXcP4lmTY0WvaEEgPILNY2WPbqvgPR3TuD1+i51IK/PQF0chYfDTp1aB/hH4YVYHS1YeyFEW9SuA6jr+aCcM2cOW7duZePGjezatYu8vDwmTZoUVGbRokX853/+J88//zyHDh3if//3fxk7dmxLXkqbl5KSwq5du1iyZEkg85OdnU1aWhp2uz2o7Lvvvhs0MWFqairDhg1jxYoV9OzZE5PJvwiroiisWLGCiRMnYjab6du3L1u2bLlmXYxGIy6XK/Do0uXSt//Dhw+zfft2VqxYQUJCAiNHjmTp0qVs2LCBvLy8G3MzRLtjdPrXwfPWatCrZwEoaySAqq3y8PHqI3z599N89ffTlFw2Ag8uzULusV8auaf3aQizyFIuQnQ27XYag/oPyi+++ILbbrsNgKVLlzJ+/Hhef/11oqKiGuxTWlrKypUrWbduHffeey8Aq1atYsCAAezdu5cRI0ZQXFzM//2//5etW7cyZsyYwL5DhgxpsWtRVZW62toWO/7V6IzGq87CXG/JkiUcPXqUQYMG8dJLLwHgdDqbfJ7jx4+zadMmNm/ejFZ7adX6+fPns3DhQl577TWWLl1KcnIyp0+fxuG48jf6nTt3EhkZSZcuXbj33nv53e9+R3h4OADp6enY7fbA3wRAUlISGo2GjIwMJk6c2OQ6i44jtEcsAJZiDSG+XGBAoxmoE1+ew1vnA+CLD7Lh4n8N+8UmPO/FPlAeuxnOQYjPRxUhWM2Glr4EIUQb024DqOv5oMzMzMTj8ZCUlBTYFhcXR3R0NOnp6YwYMYIdO3bg8/nIzc1lwIABlJeXc+edd/L73/+eHj16XLE+tbW11F4WBJWVlTX5Wupqa3nzsX9rcvkb6em3/4b+Ykboamw2GwaDAbPZjMvlavZ53G43q1evbhB0paSkMHXqVAAWLFjAm2++yb59+xr0a6o3btw4Jk2aRM+ePTlx4gTz5s3jRz/6Eenp6Wi1WgoKCoiMjAzaR6fT4XA4KCgoaHa9RccQOeJuzi5No88ZKPUeB5JwV9dRW+XBaNYHymVl+P9GDCYt7hp/XylF8Y/CU1U10Aeq2ub/PxOiqpSrZm4J0SOE6FzabRPe9XxQFhQUYDAYGjQ5de3aNbDPyZMn8fl8LFiwgDfeeIO//e1vFBUVcd999121787LL7+MzWYLPK4WbHVGMTExjWasLs/sWSwWrFYrZ8+eveJxpkyZwk9+8hMGDx7MhAkTeP/99/niiy/YuXNnS1RbdBCOobdRbYDQGvBdyCEkzB/wXN6MV3a+mrxjJaDAj385DIPJnykNCzeh1WnwlZejXnwPqLYaAf8cUJWKBZ223b6VCiGuU5vLQD3//PO8+uqrVy1z+PDhFju/z+fD4/Hw5ptvcv/99wOwfv16XC4Xn3zyyRX7Qr3wwgvMnTs38LysrKzJQZTOaOTpt//2/St/HXRG4/faX6PRNJhPx+PxNChnsVga3V+vD/7mrigKPp+vyefv1asXERERHD9+nDFjxuByuRoEYHV1dRQVFV1X5kx0DIpOx+loE3HHa9AWlBEWZ6K63EP5hRqcPfwj9I7u8w8muaVfF1w9bYx8pC8frz5C157+STLrLi4irAkNpUrj70Bu8anUaBv/2xZCdGxtLoB65plnSElJuWqZXr16XdcHpcvlwu12U1JSEpSFKiwsDOzTrVs3AAYOHBh43el0EhERQU5OzhXrZDQaMV5nMKIoSpOa0VqbwWDA6/UGbXM6nZSXl1NZWRkIkvbv33/T6nTmzBkuXLgQ+L0lJiZSUlJCZmYm8fHxAHz88cf4fD4SEhJuWr1E23O2byRxx3MwFtQRdlcIZ0+XB/pBqaoaaL6LG+F/LxhwZxTO6DCsEcEdyL87B5RbKx3IheiM2lwA5XQ6m9Q5+Xo+KOPj49Hr9Xz00UdMnjwZgKysLHJyckhMTATgrrvuCmzv3r074J8u4fz588TExHzv62vPYmNjycjIIDs7m9DQUBwOBwkJCZjNZubNm8fTTz9NRkYGaWlpLXL+iooK5s+fz+TJk3G5XJw4cYJf/epX9OnTJ5AZHDBgAOPGjWP69OksX74cj8fDrFmzmDJlSqMDC0TnUTskDj7MIaxAg2Lz9w6vD6DOZpdTUliFTq+h1/BL7z8R3cMCP3vPNzKJpk/Fo5cASojOqN023F/+Qblv3z4+//zzBh+Uubm5xMXFsW/fPsDfEXratGnMnTuXTz75hMzMTB5//HESExMZMWIEAP369eOhhx7il7/8JXv27OHgwYM89thjxMXFcc8997Ta9bYFzz77LFqtloEDB+J0OsnJycHhcLBmzRq2bdvG4MGDWb9+PampqS1yfq1Wy4EDB/jJT35Cv379mDZtGvHx8Xz66adB2b+1a9cSFxfHmDFjGD9+PCNHjuStt95qkTqJ9sM6NJ5qAxhqFQyVuQCUXfBPU3Dya392qefQCAymxr9X1ncg10ZEUFV3aR08r8Ha0lUXQrRBbS4D1Rxr165l1qxZjBkzBo1Gw+TJk3nzzTcDr3s8HrKysqiqqgpsW7x4caBsbW0tY8eO5Q9/+EPQcVevXs2cOXN44IEH0Gg03H333Wzfvr1Bf53Opl+/fqSnpzfYPmHCBCZMmBC0bfr06YGfU1NTGw2qGluLrKSk5IrnDwkJ4e9///s16+lwOFi3bt01y4nOpZczliPdFYafVNGcPgQMpbzIn4EqOFEKQPcBV54+o74P1OULCZtVFYxhV9xHCNFxtesA6loflLGxsQ0+pE0mE8uWLWPZsmVX3M9qtbJy5UpWrlx5w+oqhGhd3a3d+Ue0P4DSHvsarEMpv1CDt85HYbZ/2pFuvW1X3L+ukSY8i8+HYrG3eN2FEG1Pu23CE0KI5oiyRHEo2t/3SXP0EAC1VXXkHi3G6/FhsuixdzVfcf9AJ3JncB8orfnKQZcQouOSAEoI0SmYdCbOR+jwKaCvqMBk9s/zdOzi9AWu3rarzsof6AMVHh7oA2VWfeglAyVEpyQBlBCi07BoQim4uHSiJcQ/39iJ/f7M0tWa7wDqCvyBls7pDPSBsvhUjBJACdEpSQAlhOg0rIqd3HB/lsmMPwjyXFyyxXW1/k/FxXiLigAwxsZe6gOl+gixXrnjuRCi45IASgjRaVh1kZyJ8P9sqj4f2K7RKkRGX3k0nfvkSQB03bqhsVjIr8wHIKLOi0UCKCE6JQmghBCdhs3YnTMXM1DG4tzAdmd0GDqD9or71Z444d+nVy/cXjc55f5VCXp76gizSQAlRGckAZQQotNwWHpzJsIfQOnyjgW2X6v/k/uEPwNl6N2L02Wn8ak+Qn0+nF4vobbwlquwEKLNkgBKCNFpOO1x5F2MdwznTwe2d+ttv+p+tReb8Iy9enOi1J+N6uX24EGH1hDSInUVQrRtEkAJITqN7vZb8OnhrA1MNUVoNKBolKt2IIdLfaCMvXtxquQUAL08HiqxwFWmPhBCdFwSQIkmGz16NLNnz27tanD48GF+8pOfYLPZsFgs3H777eTk5ARer6mpYebMmYSHhxMaGsrkyZMpLCxsxRqLtsJuNuH0wJlwBZ23lh/eWsqPfjoIs9XQoGz9Kga+6mo8eXkAGHpfykD1dnuo1lpuXuWFEG2KBFDipnO73de974kTJxg5ciRxcXHs3LmTAwcO8Jvf/AaTyRQoM2fOHLZu3crGjRvZtWsXeXl5TJo06UZUXbRzthA9Do+O3Isj8SJKD9NzqLNBueKNG8kaNpyKzz/HfeoUqCpaux2dw8HJUn82qpfHQ60EUEJ0WhJAiSZJSUlh165dLFmyBEVRUBSF7Oxs0tLSsNvtQWXffffdoBmdU1NTGTZsGCtWrKBnz56BYEdRFFasWMHEiRMxm8307duXLVu2XLUe//mf/8n48eNZuHAhw4cPp3fv3vzkJz8hMjISgNLSUlauXMmiRYu49957iY+PZ9WqVezZs4e9e/fe2Jsi2h1biJ5QjynQkby+c/h3lf/9H6i1tVxYsYLaQAfy3tT56sguzQb8AZRHZ70p9RZCtD0SQLUBqqric3tb5fHdxZavZMmSJSQmJjJ9+nTy8/PJz8+nR48eTb7G48ePs2nTJjZv3sz+/fsD2+fPn88jjzzCgQMHGD9+PMnJyRRdnLDwu3w+Hx988AH9+vVj7NixREZGkpCQwLvvvhsok5mZicfjISkpKbAtLi6O6Oho0tPTm1xf0THZzQaMntDAVAb10xN8V32fp6q9GVR+9ingn8IgtyIXj8+DXtUSVeelznDluaOEEB2brrUrIED1+Mj77Z5WOXfUS3eiXGX+m3o2mw2DwYDZbMblcjX7PG63m9WrV+N0BjeXpKSkMHXqVAAWLFjAm2++yb59+xg3blyDY5w9e5aKigpeeeUVfve73/Hqq6+yfft2Jk2axCeffMLdd99NQUEBBoOhQVasa9euFBQUNLveomOxGLQoHju5Ef6/hbqCArwVFWhDQwNlfDU1ePL9E2WiqpRu2Qr4pzA4XOIPuCJVCxpAlQBKiE5LAihxU8TExDQIngCGDBkS+NlisWC1Wjl79myjx/D5/GuXPfTQQ8yZMweAYcOGsWfPHpYvX87dd9/dAjUXHYmiKOjVrlSZsigJBXsFuE+cIGTo0EAZ9+nTcHlm9uLPxl69OFl6FICuHn+nc8V09dF7QoiOSwKoNkDRa4h66c5WO/f3odFoGjQDejyeBuUslsY72+r1+uD6KEogUPquiIgIdDodAwcODNo+YMAAPvvsMwBcLhdut5uSkpKgLFRhYeF1Zc5Ex6PVdgfgZKTCDypULqSlccuiRYF+e4EpC/r3x3PmDL5K/7p3hl69OXlqOwBdPf6srcYsAZQQnZX0gWoDFEVBY9C2ykNpxhw2BoMBr9cbtM3pdFJeXk7lxQ8ZIKiP041kMBi4/fbbycrKCtp+9OhRYmJiAIiPj0ev1/PRRx8FXs/KyiInJ4fExMQWqZdoX3xGFxF1Xjb+UIOq1VD+4XbKtm4NvF57yj/Pk2ngQKzjfwSAEhKCPqpbYATeLTX+IF9ntt/cygsh2gwJoESTxcbGkpGRQXZ2NufPn8fn85GQkIDZbGbevHmcOHGCdevWkZaW1mJ1eO655/jrX//Kn//8Z44fP87/+3//j61bt/KLX/wC8PfVmjZtGnPnzuWTTz4hMzOTxx9/nMTEREaMGNFi9RLth8/spHtdHSeiFEqn3g9AwUv/hSfXvzae+1Q2AIaePbH/+xTQ6zHffhs5Fd9ytNjfhNejxp9lNYbab3r9hRBtgwRQosmeffZZtFotAwcOxOl0kpOTg8PhYM2aNWzbto3Bgwezfv16UlNTW6wOEydOZPny5SxcuJDBgwezYsUKNm3axMiRIwNlFi9ezIMPPsjkyZMZNWoULpeLzZs3t1idRPuihDrp4akD4NDYWEKGDsVXUUHh668DlzXh9epJyKBb6b3tA1yvv8ZvPv8NHp+HEd1GEOOuBiAktEvrXIQQotUpalPHsYtmKSsrw2azUVpaitUaPFdMTU0Np06dCpoTSbQe+X10Lr997yD2Uw+xqouZyT3G8Gvnk2Q//DCKyUS/9D0cu2skvqoqen3wPsbevQF4+9DbvP7P17HoLfx1/N+oWTSW/pozVPz7ZkIHjGnlKxJC3EhX+/y+nGSghBCdii1Ej9XtH0V3pvwMpkG3oovqhlpTQ+l77+GrqgKtFsPFec5KakpY+tVSAJ697Vm6mLpiVaoAMEgTnhCdlgRQQohOxRaiJ8TjHxV6qjIPRVEIu9efRbrwl1UAGLp3RzH4g6zT5aep9dYSaY5kct/J1Hi8hOEPoPTSiVyITksCKCFEp2IL0WNy+6cfOOspp7S2lLAkfwDlubgotaFXr0D50tpSAMJN4SiKQm2th1ClBpB5oITozCSAEkJ0Kl3MBiq8XYi62JH8WPExzPHxaC7r62Do2TPwc30AZTfaAfBUlVw6mFHWwhOis5IASgjRqUSHmzmn2ul7ccLXo8VHUfR6Qkdfmsne0DM28HNJbQkANqM/2+Sp9D+vwQA6w02psxCi7ZEASgjRqcSEmzmPnX5uNwDHSo4BEDbm0gLUxkaa8OoDKG+1/3ml0vjs+kKIzkECKCFEp2LUafGFdqWv25+BOlbsD6BCR96FJjQUxWQKTF8ADTNQ9QFUlWK+ibUWQrQ1shaeEKLTCekSRb8LFzNQxcfwqT40Fgsxa9egut1oL1tHsay2DLjUB0qtuRhAaUJvap2FEG2LBFBCiE7HFtmD6II69KpKVV0VeRV5dA/rjql//wZlv5uBUi9moKo10oQnRGcmTXhCiE7HFdUdjarQy32pI/mVlLqDR+GpNf6MVK1WMlBCdGYSQIkmGz16NLNnz27VOiiK0ujjtddeC5QpKioiOTkZq9WK3W5n2rRpVFRUtGKtRVvT02njAjb6facfVGPqO5FbDf4pCzRuCaCEEBJAiVbgvjj66Xrk5+cHPf7yl7+gKAqTJ08OlElOTubQoUPs2LGD999/n927dzNjxowbUXXRQfR2Wjin2ujrCR6J15jvzgOlXOwT5daHtWwlhRBtmgRQbYCqqrjd7lZ5NHUt6ZSUFHbt2sWSJUsCWZ/s7GzS0tKwX9bhFuDdd99FUZTA89TUVIYNG8aKFSuCFuxVFIUVK1YwceJEzGYzffv2ZcuWLVeth8vlCnq899573HPPPfS6OOz88OHDbN++nRUrVpCQkMDIkSNZunQpGzZsIC8vrxm/FdGROcOMXFAcgQzUlZrwPD4PFR5/9rK+D5TOXe5/TScZKCE6M+lE3gZ4PB4WLFjQKueeN28eBsO1JwNcsmQJR48eZdCgQbz00ksAOJ3OJp/n+PHjbNq0ic2bN6PVagPb58+fz8KFC3nttddYunQpycnJnD59GofDcc1jFhYW8sEHH/D2228HtqWnp2O327ntttsC25KSktBoNGRkZDBx4sQm11l0XIqiUGuKYOjFAOp0mX+9O6PWGFSuPvsEl5rwtB5/AFUnGSghOjXJQIkmsdlsGAwGzGZzIPtzeSB0LW63m9WrVzN8+HCGDBkS2J6SksLUqVPp06cPCxYsoKKign379jXpmG+//TZhYWFMmjQpsK2goIDIyMigcjqdDofDQUFBQZPrKzo+NbQrTq8Xs6rFp/rIKctpUKZ+CoMwQxhajf/v3VxzFoAaU8TNq6wQos2RDFQboNfrmTdvXqud+2aIiYlpNGN1eTBlsViwWq2cPXu2Scf8y1/+QnJycqBJUIjmMNi7oVyAbnVaTui9nCo9Rd8ufYPK1E9hUN//CcBWkwtAlbn7zaqqEKINkgCqDVAUpUnNaG2RRqNp0I/Kc3GNsctZLI3PmfPdAE5RFHw+3zXP++mnn5KVlcVf//rXoO0ul6tBAFZXV0dRUREul+uaxxWdR1hEdzgB3d0+TujhVOmpBmUCy7gY/P2fcFcRVncBgGpLj5tWVyFE29Oum/CuZ7h6TU0NM2fOJDw8nNDQUCZPnkxhYWFQmS+++IIxY8Zgt9vp0qULY8eO5euvv27JS2kXDAYDXq83aJvT6aS8vJzKysrAtv3797d4XVauXEl8fDxDhw4N2p6YmEhJSQmZmZmBbR9//DE+n4+EhIQWr5doP+xd/QFQr9pqALLLshuUCUyiaboYQJX4m/nKVDNKiL2lqyiEaMPadQB1PcPV58yZw9atW9m4cSO7du0iLy8vqA9NRUUF48aNIzo6moyMDD777DPCwsIYO3Zso5mVziQ2NpaMjAyys7M5f/58ICgxm83MmzePEydOsG7dOtLS0lq0HmVlZWzcuJEnn3yywWsDBgxg3LhxTJ8+nX379vH5558za9YspkyZQlRUVIvWS7Qv4V2jARhwcVRdYxmosotzPgUyUMXZAHyrOjEZJIEvRGfWbgOo6xmuXlpaysqVK1m0aBH33nsv8fHxrFq1ij179rB3714Ajhw5QlFRES+99BL9+/fn1ltv5cUXX6SwsJDTp0/fzEtsc5599lm0Wi0DBw7E6XSSk5ODw+FgzZo1bNu2jcGDB7N+/XpSU1NbtB4bNmxAVVWmTp3a6Otr164lLi6OMWPGMH78eEaOHMlbb73VonUS7Y/NeQsA/etqAH8A9d3m6AZ9oEr87wE5aiRGXbt9+xRC3ADt9ivU9QxXz8zMxOPxkJSUFNgWFxdHdHQ06enpjBgxgv79+xMeHs7KlSuZN28eXq+XlStXMmDAAGJjY69Yn9raWmprawPPy8rKbsyFtiH9+vUjPT29wfYJEyYwYcKEoG3Tp08P/JyamtpoUNXYHFQlJSXXrMeMGTOumml0OBysW7fumscRnZtiMFOBhR6eSjRoqKqr4lz1OSLNl0ZxBvpAGb+bgYokUt/0UahCiI6n3X6Fup7h6gUFBRgMhgYTP3bt2jWwT1hYGDt37mTNmjWEhIQQGhrK9u3b+fDDD9Hprhxvvvzyy9hstsCjRw/pYCpEW1eqc6AHIrR2oGEz3ncXEqZYMlBCCL829w7w/PPPX3G9s/rHkSNHWuz81dXVTJs2jbvuuou9e/fy+eefM2jQIB544AGqq6uvuN8LL7xAaWlp4PHtt9+2WB2FEDdGtdE/tUaEzz+r+HcDqPp5oL6bgTqjOjFJBkqITq3NNeE988wzpKSkXLVMr169rmu4usvlwu12U1JSEpSFKiwsDOyzbt06srOzSU9PR6PRBLZ16dKF9957jylTpjR6bKPRiNFobPQ1IUTb5DU7oRIi3HrQNxyJF9QHSlWD+0Dp29z3TyHETdTmAiin09mkJUIuH64eHx8PXHu4enx8PHq9no8++iiw+GxWVhY5OTkkJiYCUFVVhUajCVrLrf55U+YnEkK0I2EuOAfOGh9cnAvqePFxNh3bxLTB0yh1XzYPVNUFcFfgQyFXjcCokwyUEJ1Zu/0K1ZTh6rm5ucTFxQWWBrHZbEybNo25c+fyySefkJmZyeOPP05iYiIjRowA4L777qO4uJiZM2dy+PBhDh06xOOPP45Op+Oee+5ptesVQtx4Rns3AKKq/M3zR4qOMGPHDNYcXsPyr5cHOpHbjfZA/6dzdKEWAybJQAnRqbXrd4BrDVf3eDxkZWVRVVUV2LZ48WIefPBBJk+ezKhRo3C5XGzevDnwelxcHFu3buXAgQMkJibywx/+kLy8PLZv3063bt1u6vUJIVqW2RkDQL9qf6BUVFPEuepzAGw7tY3qOn9gZTVaodjfP+oMXQEkAyVEJ9fmmvCa41rD1WNjYxsMlTeZTCxbtoxly5Zdcb/77ruP++6774bVUwjRNtm69Qagn+8cNkN3St0l2I12NIqGopoiADSKhjBD2KX+Tz5/FwPJQAnRuck7gBCi0zJG9ASgK8UMD08kVB/K4tGLebDXg4EyVoMVjaIJjMDL9tYHUJKBEqIzkwBKCNF5WZzUYkCrqDxs/Td2/fsubnPdFhRA2Y12cFdC7leAfxkXQOaBEqKTk3cAIUTnpSgU6/19mqrOncKgNQAQ54ijt83fvGdV9PDWaCj8BlWjI1PtB0gGSojOTgIo0WSjR49m9uzZrVqHiooKZs2aRffu3QkJCWHgwIEsX748qExNTQ0zZ84kPDyc0NBQJk+eTGFhYSvVWLR1FSH+Ubt1RZfWulQUhQd7+7NQXc8fh/NHIawbxZP/h9OqC40COo3S6PGEEJ2DBFDipnO73de979y5c9m+fTtr1qzh8OHDzJ49m1mzZrFly5ZAmTlz5rB161Y2btzIrl27yMvLY9KkSTei6qID8oT5l13SlAavHvB/Bv4f5gyewVOFuf4NM3ZR4fLPF2fSa4PmihNCdD4SQLUBqqri9Va1yqOxBX0bk5KSwq5du1iyZElgSZ3s7GzS0tIarC347rvvBn24pKamMmzYMFasWEHPnj0xmUyA/1v+ihUrmDhxImazmb59+wYFQo3Zs2cPjz32GKNHjyY2NpYZM2YwdOjQwFxfpaWlrFy5kkWLFnHvvfcSHx/PqlWr2LNnD3v37m3Gb0V0Ftou/gDKVJkbtN2gNfCE4wf09NSBPRrCulJT5/WXleY7ITq9dj2NQUfh81Wzc9fgVjn36Lu/Qas1X7PckiVLOHr0KIMGDeKll14CaNKM8fWOHz/Opk2b2Lx5M1rtpQ+f+fPns3DhQl577TWWLl1KcnIyp0+fxuFwNHqcO++8ky1btvDEE08QFRXFzp07OXr0KIsXLwYgMzMTj8dDUlJSYJ+4uDiio6NJT08PTJgqRD1rt95wEEKr87hQUUt46GVLMp27uO6mMw6AWo9/NQLpQC6EkHcB0SQ2mw2DwYDZbMblcuFyuYICoWtxu92sXr2a4cOHM2TIkMD2lJQUpk6dSp8+fViwYAEVFRWBbFJjli5dysCBA+nevTsGg4Fx48axbNkyRo0aBUBBQQEGg6FBVqxr164UFBQ076JFp+CK7g9AlHKOzZln4J+r4ORO/4vnsvz/Ov1lJAMlhKgnGag2QKMJYfTd37TauW+GmJiYRjNWlwdTFosFq9XaYJHoyy1dupS9e/eyZcsWYmJi2L17NzNnziQqKioo6yREk9n8TXjduEDW3q1Q/SKYbPDcyQYZqBqPP4CSDJQQQgKoNkBRlCY1o7VFGo2mQT8qj8fToJzFYml0f71eH/T8aos2V1dXM2/ePN555x0eeOABwB+A7d+/n9dff52kpCRcLhdut5uSkpKgLFRhYSEul6s5lyY6i9CuqFoDWq+bByo2gxaoKUXN348SyEB9pwlPMlBCdHryNUo0mcFgwOv1Bm1zOp2Ul5dTWVkZ2LZ///4WOb/H48Hj8aDRBP/ZarXaQNAVHx+PXq/no48+CryelZVFTk4OiYmJLVIv0c5pNCgXs1D3aL8ObH5/w5+g4mKzb4R/7qdAE55koITo9CQDJZosNjaWjIwMsrOzCQ0NxeFwkJCQgNlsZt68eTz99NNkZGSQlpbWIue3Wq3cfffdPPfcc4SEhBATE8OuXbtYvXo1ixYtAvx9taZNm8bcuXNxOBxYrVaeeuopEhMTpQO5uDJ7NBSdCNp0V/k2UADrLWCyApKBEkJcIl+jRJM9++yzaLVaBg4ciNPpJCcnB4fDwZo1a9i2bRuDBw9m/fr1pKamtlgdNmzYwO23305ycjIDBw7klVde4b//+7/52c9+FiizePFiHnzwQSZPnsyoUaNwuVxs3ry5xeokOgB7j8CPZeFDAXAoFf4NFzuQg2SghBCXKGpTJwISzVJWVobNZqO0tBSr1Rr0Wk1NDadOnQqaE0m0Hvl9CHa/Bh//zv/z//c/lP71p9i8xf7nI34B414GYOVnp/iv9//Fj4dGsXTq8FaqrBCiJV3t8/ty8jVKCCHsMf5/jTbodQ+F4Xdceu2yDFStZKCEEBfJu4AQQvS9D6LvhDG/AZ0BNXbUpdcujsADqLnYB0rmgRJCSAAlhBAhXeCJD+GO6QA4h9wHgE9VqLD2DhSrz0DJPFBCCBmFJ4QQ3+Ho3p/f657kQrXKhGItd9j922slAyWEuEi+RgkhRCOORE9lnXcMB3NLA9tkJnIhRD15FxBCiEYMirIBBAVQtXWSgRJC+EkAJYQQjRjc3T98ef+ZksByRfUZKJNe3jqF6OzkXUAIIRoxtLsdvVbh5LlKlnx0DLiUgTLqJAMlRGcnAZQQQjQiPNTIfz00CIA3/vcYf8s8c6kPlGSghOj05F1ACCGuYMod0fx8tH8ag9++d5DSag8gGSghhARQohlGjx7N7NmzW7UOhYWFpKSkEBUVhdlsZty4cRw7diyoTE1NDTNnziQ8PJzQ0FAmT55MYWFhK9VYtHfP3d8fZ5iRKreXw/llgPSBEkJIACVagdvtvq79VFVlwoQJnDx5kvfee4+vvvqKmJgYkpKSqKysDJSbM2cOW7duZePGjezatYu8vDwmTZp0o6ovOhmNRuGOng4AfBdXDpVReEIICaDaAFVVqfR6W+XR1LWkU1JS2LVrF0uWLEFRFBRFITs7m7S0NOx2e1DZd999F0VRAs9TU1MZNmwYK1asCFqwV1EUVqxYwcSJEzGbzfTt25ctW7ZcsQ7Hjh1j7969/PGPf+T222+nf//+/PGPf6S6upr169cDUFpaysqVK1m0aBH33nsv8fHxrFq1ij179rB3795m/maE8BtxMYCqJ/NACSFkJvI2oMrno/fub1rl3CdGDcaivfa36SVLlnD06FEGDRrESy+9BIDT6WzyeY4fP86mTZvYvHkz2svON3/+fBYuXMhrr73G0qVLSU5O5vTp0zgcjgbHqK2tBQgEYAAajQaj0chnn33Gk08+SWZmJh6Ph6SkpECZuLg4oqOjSU9PZ8SIEU2usxD1EnqFBz2XDJQQQr5GiSax2WwYDAbMZjMulwuXyxUUCF2L2+1m9erVDB8+nCFDhgS2p6SkMHXqVPr06cOCBQuoqKhg3759jR6jPhB64YUXKC4uxu128+qrr3LmzBny8/MBKCgowGAwNMiKde3alYKCguZfuBBA38hQHBZD4LlkoIQQkoFqA8waDSdGDW61c98MMTExjWasLg+mLBYLVquVs2fPNnoMvV7P5s2bmTZtGg6HA61WS1JSEj/60Y+a3BQpxPVQFIXbY7vw90P+wQiSgRJCSADVBiiK0qRmtLZIo9E0CF48Hk+DchaLpdH99Xp90HNFUfD5fFc8X3x8PPv376e0tBS3243T6SQhIYHbbrsNAJfLhdvtpqSkJCgLVVhYiMvlauplCdFAQs9wCaCEEAGShxZNZjAY8Hq9QducTifl5eVBo+D279/f4nWx2Ww4nU6OHTvGP//5Tx566CHAH2Dp9Xo++uijQNmsrCxycnJITExs8XqJjiuh16V+edKEJ4SQDJRostjYWDIyMsjOziY0NBSHw0FCQgJms5l58+bx9NNPk5GRQVpaWovVYePGjTidTqKjo/nmm2/45S9/yYQJE7j//vsBf2A1bdo05s6di8PhwGq18tRTT5GYmCgdyMX3MsBlZXR/JzqNgtkgGSghOjv5GiWa7Nlnn0Wr1TJw4ECcTic5OTk4HA7WrFnDtm3bGDx4MOvXryc1NbXF6pCfn8+jjz5KXFwcTz/9NI8++mhgCoN6ixcv5sEHH2Ty5MmMGjUKl8vF5s2bW6xOonPQaBTSHr+DFY/dHjRNhxCic1JU6X3bIsrKyrDZbJSWlmK1WoNeq6mp4dSpU0FzIonWI78PIYQQ9a72+X05yUAJIYQQQjSTBFBCCCGEEM3UrgOooqIikpOTsVqt2O12pk2bRkVFxVX3eeuttxg9ejRWqxVFUSgpKbkhxxVCCCFE59GuA6jk5GQOHTrEjh07eP/999m9ezczZsy46j5VVVWMGzeOefPm3dDjCiGEEKLzaLedyA8fPszAgQP54osvApMobt++nfHjx3PmzBmioqKuuv/OnTu55557KC4uDppw8fset15TOpHHxsYSEhLSjKsWLaG6uprs7GzpRC6EEKLjdyJPT0/HbrcHghyApKQkNBoNGRkZN/24tbW1lJWVBT2upH727aqqquuup7hx3G43QLPW9hNCCNG5tduJNAsKCoiMjAzaptPpcDgc32vR2Os97ssvv8z8+fObdA6tVovdbg+s+WY2m2VemVbi8/k4d+4cZrMZna7d/ncQQghxk7W5T4znn3+eV1999aplDh8+fJNq03QvvPACc+fODTwvKyujR48eVyxfvy7blRbOFTePRqMhOjpaglghhBBN1uYCqGeeeYaUlJSrlunVqxcul6tB8FFXV0dRUdH3WjT2eo9rNBoxGo1NPo+iKHTr1o3IyMhGF98VN4/BYECjabet2UIIIVpBmwugnE4nTqfzmuUSExMpKSkhMzOT+Ph4AD7++GN8Ph8JCQnXff6WOu6VaLVa6XsjhBBCtDPt9mv3gAEDGDduHNOnT2ffvn18/vnnzJo1iylTpgRGyuXm5hIXF8e+ffsC+xUUFLB//36OHz8OwDfffMP+/fspKipq8nGFEEII0bm12wAKYO3atcTFxTFmzBjGjx/PyJEjeeuttwKvezwesrKygka7LV++nOHDhzN9+nQARo0axfDhw9myZUuTjyuEEEKIzq3dzgPV1jV1HgkhhBBCtB1N/fxuc32gOor6uPRq80EJIYQQom2p/9y+Vn5JAqgWUl5eDnDVqQyEEEII0TaVl5djs9mu+Lo04bUQn89HXl4eYWFhHXp+ofr5rr799ltpqrzJ5N63Lrn/rUfufevq6PdfVVXKy8uJioq66hQ3koFqIRqNhu7du7d2NW4aq9XaIf8jtQdy71uX3P/WI/e+dXXk+3+1zFO9dj0KTwghhBCiNUgAJYQQQgjRTBJAie/FaDTy4osvNmsZG3FjyL1vXXL/W4/c+9Yl999POpELIYQQQjSTZKCEEEIIIZpJAighhBBCiGaSAEoIIYQQopkkgBJCCCGEaCYJoESTZGdnM23aNHr27ElISAi9e/fmxRdfxO12B5U7cOAAP/zhDzGZTPTo0YOFCxc2ONbGjRuJi4vDZDIxePBgtm3bdrMuo9367//+b+68807MZjN2u73RMjk5OTzwwAOYzWYiIyN57rnnqKurCyqzc+dOfvCDH2A0GunTpw9paWktX/kOaNmyZcTGxmIymUhISGDfvn2tXaUOYffu3fz4xz8mKioKRVF49913g15XVZXf/va3dOvWjZCQEJKSkjh27FhQmaKiIpKTk7FardjtdqZNm0ZFRcVNvIr25+WXX+b2228nLCyMyMhIJkyYQFZWVlCZmpoaZs6cSXh4OKGhoUyePJnCwsKgMk15D+pIJIASTXLkyBF8Ph9/+tOfOHToEIsXL2b58uXMmzcvUKasrIz777+fmJgYMjMzee2110hNTeWtt94KlNmzZw9Tp05l2rRpfPXVV0yYMIEJEyZw8ODB1risdsPtdvPwww/z85//vNHXvV4vDzzwAG63mz179vD222+TlpbGb3/720CZU6dO8cADD3DPPfewf/9+Zs+ezZNPPsnf//73m3UZHcJf//pX5s6dy4svvsiXX37J0KFDGTt2LGfPnm3tqrV7lZWVDB06lGXLljX6+sKFC3nzzTdZvnw5GRkZWCwWxo4dS01NTaBMcnIyhw4dYseOHbz//vvs3r2bGTNm3KxLaJd27drFzJkz2bt3Lzt27MDj8XD//fdTWVkZKDNnzhy2bt3Kxo0b2bVrF3l5eUyaNCnwelPegzocVYjrtHDhQrVnz56B53/4wx/ULl26qLW1tYFtv/71r9X+/fsHnj/yyCPqAw88EHSchIQE9ac//WnLV7gDWLVqlWqz2Rps37Ztm6rRaNSCgoLAtj/+8Y+q1WoN/D5+9atfqbfeemvQfv/+7/+ujh07tkXr3NHccccd6syZMwPPvV6vGhUVpb788sutWKuOB1DfeeedwHOfz6e6XC71tddeC2wrKSlRjUajun79elVVVfVf//qXCqhffPFFoMyHH36oKoqi5ubm3rS6t3dnz55VAXXXrl2qqvrvs16vVzdu3Bgoc/jwYRVQ09PTVVVt2ntQRyMZKHHdSktLcTgcgefp6emMGjUKg8EQ2DZ27FiysrIoLi4OlElKSgo6ztixY0lPT785le6g0tPTGTx4MF27dg1sGzt2LGVlZRw6dChQRu799+N2u8nMzAy6jxqNhqSkJLmPLezUqVMUFBQE3XubzUZCQkLg3qenp2O327ntttsCZZKSktBoNGRkZNz0OrdXpaWlAIH398zMTDweT9C9j4uLIzo6OujeX+s9qKORAEpcl+PHj7N06VJ++tOfBrYVFBQE/ecBAs8LCgquWqb+dXF9vs+9Lysro7q6+uZUtJ07f/48Xq9X/oZbQf39vdq9LygoIDIyMuh1nU6Hw+GQ308T+Xw+Zs+ezV133cWgQYMA/301GAwN+l9+995f6z2oo5EAqpN7/vnnURTlqo8jR44E7ZObm8u4ceN4+OGHmT59eivVvP27nnsvhBAtaebMmRw8eJANGza0dlXaPF1rV0C0rmeeeYaUlJSrlunVq1fg57y8PO655x7uvPPOoM7hAC6Xq8GojPrnLpfrqmXqX+9Mmnvvr8blcjUYCdbUe2+1WgkJCWlirTu3iIgItFqt/A23gvr7W1hYSLdu3QLbCwsLGTZsWKDMdzvz19XVUVRUJL+fJpg1a1ag43337t0D210uF263m5KSkqAs1OV/9015D+poJAPVyTmdTuLi4q76qO/TlJuby+jRo4mPj2fVqlVoNMF/PomJiezevRuPxxPYtmPHDvr370+XLl0CZT766KOg/Xbs2EFiYmILX2nb05x7fy2JiYl88803QR8eO3bswGq1MnDgwEAZufffj8FgID4+Pug++nw+PvroI7mPLaxnz564XK6ge19WVkZGRkbg3icmJlJSUkJmZmagzMcff4zP5yMhIeGm17m9UFWVWbNm8c477/Dxxx/Ts2fPoNfj4+PR6/VB9z4rK4ucnJyge3+t96AOp7V7sYv24cyZM2qfPn3UMWPGqGfOnFHz8/MDj3olJSVq165d1UcffVQ9ePCgumHDBtVsNqt/+tOfAmU+//xzVafTqa+//rp6+PBh9cUXX1T1er36zTfftMZltRunT59Wv/rqK3X+/PlqaGio+tVXX6lfffWVWl5erqqqqtbV1amDBg1S77//fnX//v3q9u3bVafTqb7wwguBY5w8eVI1m83qc889px4+fFhdtmyZqtVq1e3bt7fWZbVLGzZsUI1Go5qWlqb+61//UmfMmKHa7fag0Ufi+pSXlwf+tgF10aJF6ldffaWePn1aVVVVfeWVV1S73a6+99576oEDB9SHHnpI7dmzp1pdXR04xrhx49Thw4erGRkZ6meffab27dtXnTp1amtdUrvw85//XLXZbOrOnTuD3turqqoCZX72s5+p0dHR6scff6z+85//VBMTE9XExMTA6015D+poJIASTbJq1SoVaPRxua+//lodOXKkajQa1VtuuUV95ZVXGhzrf/7nf9R+/fqpBoNBvfXWW9UPPvjgZl1Gu/XYY481eu8/+eSTQJns7Gz1Rz/6kRoSEqJGRESozzzzjOrxeIKO88knn6jDhg1TDQaD2qtXL3XVqlU390I6iKVLl6rR0dGqwWBQ77jjDnXv3r2tXaUO4ZNPPmn07/yxxx5TVdU/lcFvfvMbtWvXrqrRaFTHjBmjZmVlBR3jwoUL6tSpU9XQ0FDVarWqjz/+eOCLhmjcld7bL39/qK6uVn/xi1+oXbp0Uc1mszpx4sSgL9Cq2rT3oI5EUVVVvYkJLyGEEEKIdk/6QAkhhBBCNJMEUEIIIYQQzSQBlBBCCCFEM0kAJYQQQgjRTBJACSGEEEI0kwRQQgghhBDNJAGUEEIIIUQzSQAlhBBCCNFMEkAJIYQQQjSTBFBCCCGEEM0kAZQQQlzDhQsXiIyMJDs7+4Ydc8qUKfz+97+/YccTQtxcshaeEEJcw9y5cykvL+fPf/7zDTvmwYMHGTVqFKdOncJms92w4wohbg7JQAkhxFVUVVWxcuVKpk2bdkOPO2jQIHr37s2aNWtu6HGFEDeHBFBCiE7loYceQlGURh9btmxpUH7btm0YjUZGjBgRtH306NHMmjWLWbNmYbPZiIiI4De/+Q31Sf2//e1vDB48mJCQEMLDw0lKSqKysjLoGD/+8Y/ZsGFDy12sEKLFSAAlhOhU/vKXv5Cfn8+xY8cAf4CUn59Pfn4+48ePb1D+008/JT4+vtFjvf322+h0Ovbt28eSJUtYtGgRK1asID8/n6lTp/LEE09w+PBhdu7cyaRJk/huj4k77riDffv2UVtbe+MvVAjRonStXQEhhLiZwsPDAUhPT0dRFH74wx8SGhp6xfKnT58mKiqq0dd69OjB4sWLURSF/v37880337B48WLi4+Opq6tj0qRJxMTEADB48OAG+0dFReF2uykoKAiUE0K0D5KBEkJ0SgcOHCA2NvaqwRNAdXU1JpOp0ddGjBiBoiiB54mJiRw7doyhQ4cyZswYBg8ezMMPP8yf//xniouLG+wfEhIC+PtZCSHaFwmghBCd0oEDBxgyZMg1y0VERDQa/FzLjh07+PDDDxk4cCBLly6lf//+nDp1KqhMUVERAE6ns9nHF0K0LgmghBCdUnZ2Nv37979mueHDh/Ovf/2r0dcyMjKCnu/du5e+ffui1WpRFIW77rqL+fPn89VXX2EwGHjnnXeCyh88eJDu3bsTERFx/RcihGgVEkAJIToln8/H6dOnyc3NbdC5+3Jjx47l0KFDjWahcnJymDt3LllZWaxfv56lS5fyy1/+koyMDBYsWMA///lPcnJy2Lx5M+fOnWPAgAFB+3/66afcf//9N/zahBAtTybSFEJ0Sh9++CEzZsyguLiYsrIyNJorf59MSEjgiSee4Kc//Wlg2+jRo7n11lvx+XysW7cOrVbLz3/+c373u99x5MgR5syZw5dffklZWRkxMTE89dRTzJo1K7B/TU0NLpeL7du3N5giQQjR9kkAJYQQ1/DBBx/w3HPPcfDgwUCgNXr0aIYNG8Ybb7xxXcf84x//yDvvvMM//vGPG1hTIcTNItMYCCHENTzwwAMcO3aM3NxcevTocUOOqdfrWbp06Q05lhDi5pMASgghmmD27Nk39HhPPvnkDT2eEOLmkiY8IYQQQohmklF4QgghhBDNJAGUEEIIIUQzSQAlhBBCCNFMEkAJIYQQQjSTBFBCCCGEEM0kAZQQQgghRDNJACWEEEII0UwSQAkhhBBCNJMEUEIIIYQQzSQBlBBCCCFEM/3/PRPRCWYwZMIAAAAASUVORK5CYII=\n"
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = plot_wakedata(filename=\"save.hdf5\",bunch_number=0, wake_type=\"Wlong\", start=0,\n",
+        "                     stop=None, step=10, profile_plot=True, streak_plot=False,\n",
+        "                     bunch_profile=True, dipole=False)"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 469
+        },
+        "id": "euJV_hIg-L2F",
+        "outputId": "e001e54a-168e-421e-ca2d-ae986298bbc1"
+      },
+      "execution_count": 61,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 640x480 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "And the horizontal dipolar wake potential and dipole moment:"
+      ],
+      "metadata": {
+        "id": "JEshpxnaBcYc"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = plot_wakedata(filename=\"save.hdf5\",bunch_number=0, wake_type=\"Wxdip\", start=0,\n",
+        "                     stop=None, step=10, profile_plot=True, streak_plot=False,\n",
+        "                     bunch_profile=False, dipole=False)"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 453
+        },
+        "id": "Y4FUlUcM-nH8",
+        "outputId": "66330c1f-261e-4b2f-f874-6e44d503aa00"
+      },
+      "execution_count": 62,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 640x480 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = plot_wakedata(filename=\"save.hdf5\",bunch_number=0, wake_type=\"Wxdip\", start=0,\n",
+        "                     stop=None, step=10, profile_plot=True, streak_plot=False,\n",
+        "                     bunch_profile=False, dipole=True)"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 453
+        },
+        "id": "2aZ_w8Uz-dps",
+        "outputId": "1284b1ab-b89a-4594-b42f-bf4f96843b4a"
+      },
+      "execution_count": 63,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 640x480 with 1 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The same data can also be plotted in \"streak_plot\" mode:"
+      ],
+      "metadata": {
+        "id": "q8AOu3SWBgiM"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = plot_wakedata(filename=\"save.hdf5\",bunch_number=0, wake_type=\"Wlong\", start=0,\n",
+        "                     stop=None, step=None, profile_plot=False, streak_plot=True,\n",
+        "                     bunch_profile=False, dipole=False)"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 453
+        },
+        "id": "8Qo5oo4q9pSl",
+        "outputId": "35fe7975-42c0-4a63-a7ca-12ae1d7ce7d6"
+      },
+      "execution_count": 64,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 640x480 with 2 Axes>"
+            ],
+            "image/png": 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VFRnLVFVFUVERysrKgu5TVlYmbQ8AxcXFttsDQFVVFRRFQXZ2duhvJkGwcURERBQHkT01MoO5O3XqhKysLKPMmTMn6Pm+//57+P1+5OTkSMtzcnJQUVERdJ+KioqQtq+trcXdd9+NMWPGIDMzM9RLkjA4Wo2IiCgeVDWyhM3/3Xffvn1SQyQ1NTXSmoXF6/Xiuuuug67reOaZZ+JSh2hh44iIiKgRy8zMdPWUpl27dvB4PKisrJSWV1ZWIjc3N+g+ubm5rrY/2TD65ptvsG7dukb91AiIc7ea3+/HzJkz0a1bN6Snp+PMM8/EQw89JMUE6LqOWbNmoWPHjkhPT0dRURF2794dx1pToxRObEzAMZSguZDcxjZpimoUKz9Uo4iRQE4xQnaxSOHSFI9RFM1vFEcO8SFSvIlYnLaLkHiscI8XzfpEhXiNoxGrFO3jUdgURYm4hCIlJQX5+fkoLS01lmmahtLSUhQWFgbdp7CwUNoeANauXSttf7JhtHv3bvzrX/9C27ZtQ6pXIorrk6PHHnsMzzzzDJYtW4Y+ffrg448/xrhx45CVlYXbb78dADB37lwsWLAAy5YtQ7du3TBz5kwUFxfjs88+Q1paWjyrT0REFLZ4zJA9bdo03HjjjTj33HNx/vnnY/78+Th27BjGjRsHALjhhhtw2mmnGXFLU6ZMwaWXXoonnngCw4YNw4oVK/Dxxx/jueeeA3CiYfTzn/8cW7Zsweuvvw6/32/EI7Vp0wYpKSlhv794imvjaMOGDRg+fDiGDRsGAOjatSteeuklY0IqXdcxf/583HfffRg+fDgA4Pnnn0dOTg5ee+01jB49Om51JyIiikQ8Zsi+/vrr8d1332HWrFmoqKjAwIEDsWbNGiPoeu/evVCFRtcFF1yA5cuX47777sO9996L7t2747XXXkPfvn0BAPv378c//vEPAMDAgQOlc73zzju47LLLwntzcRbXxtEFF1yA5557Dl988QXOPvts/Pvf/8YHH3yAefPmAQD27NmDiooKaRhhVlYWCgoKUFZWFrRxVFdXJw1jrK6ujv0bocYtjMzWmsvUFmJXm+aQlsIurYd1uSIk6RCH31u71sT9xH3sXgPye1I1r3lsj/w1oWq+oHUNoMnd426I2yk2y63rmgymAokO63B+XssAkydPxuTJk4Oue/fddwOWXXvttbj22muDbt+1a9f4To8RI3FtHN1zzz2orq5Gz5494fF44Pf78cgjj2Ds2LEAYDyaC2UY4Zw5c/DAAw/EtuJERESRUiIcrRZJDCU5iuuV/etf/4oXX3wRy5cvx5YtW7Bs2TI8/vjjWLZsWdjHnDFjBqqqqoyyb9++KNaYiIgoSiKd44hPxWImrk+Opk+fjnvuucfoHuvXrx+++eYbzJkzBzfeeKMxVLCyshIdO3Y09qusrAzo2zwpNTU1bnM8EBERUeMX18ZRTU2NFPgFAB6PB9p/h9B269YNubm5KC0tNRpD1dXV2LRpE2699daGri5FgzW+J9K+6lg+Vg4yZD8YXTFjdRTL+xFTiDil6PDrQryPYg6v1hxiiQBzO2vMkXQMBI97UnWHYfpCvQOG8/uFn52uv9th4jafATE1SMCQZXGYvRj/1QRjH1xL8FgbcWoE16OsrJ+hJtaNpCgqlAjeUyT7krO4No5++tOf4pFHHkHnzp3Rp08fbN26FfPmzcPNN98M4MQX4h133IGHH34Y3bt3N4by5+XlYcSIEfGsOhERUWQi7RpLsAZwUxLXxtHChQsxc+ZM/O///i8OHjyIvLw83HLLLZg1a5axzV133YVjx45h4sSJOHLkCC666CKsWbOGcxwRERFRTMS1cdSqVSvMnz8f8+fPt91GURQ8+OCDePDBBxuuYkRERDEWj0kgyR3mVqOmw/KIWRHiFXSPu3mJpJgGa/yKGPdiMzeSblmuCfFIdnMZWdeJ8ULWKviF2CJxniJ/GDP/OMVASScOuA5mXXW//ZxHYsyQGCPkOi2Hy+2k2CS3/1dYj203b1UUYpjCirVJdOJ1CWOeMDohHpNAkjtN5C+ViIiIKDr45IiIiCgeFCXyZNgUE2wcUfNj/TKy+3KydLWIQ9rFYf12Q/wBuVtNUYRuMF3+09NsuricuuLE42mafZoR+bXQveVQb1Ucvu92SL5DN5huHWbucp2xjTV9CP9TiB7x99sUh4YncFoWdqslLjaOiIiI4kGNMH1IU4lhS0C8skREREQCPjkiIiKKA0VRIuoiZvdy7LBxRE2WbUxNQAyNEFvk8GVjezynfYRYIjHFh3UYvRhSI8YZ+SwxR2KckXg8vzV9iHB8cWoAu7oB8tQHjnEoNjFI1rggeRdxKL+74fGakKYkEYfAi+9XscZbuZ06opmyTucQVjqRphAfpUTYrdYUrkGC4pUlIiIiEvDJERERURxwtFriYuOIiIgoHhQ1wnmO2PkTK2wcUcOKQjoGt6T0IVJckf0XihRX5DC/jy72SAvvyRqXZBenJM49dOJ49vFI0nYOcUuu9nE5P5PiNj2EMB9S2MGhbtOJCKR4H3G507HEdeHGBInHcIoVYXoNokaNjSMiIqJ4UJXIJqZkt1rMsHFEREQUB4qiQomgayySfckZrywRERGRgE+OqMlyiqlxJSAHm/kIW85RZv4ZSTnJAGhSDJP4MvR4ISufkE/No+i26zThHkhFvfHar7j784/4OgKuY80cY4bsSHFA7mKJAnK1SccTc3GFXh3XrDFtbq+z27l+GiqnWGOKr0q0PGvsVktYbBwRERHFgaKqEU1wmoiTozYVbBwRERHFg6JE9rQt0Z/UNWJsHFHz45A+xHb4v9tDW76sxCH/YuoPv+YwnYBDV5pms86aPsRuOyeamixUwrwOisvuH7fpQ1zv59C9JR5PiUKqDjGlicLMH41DU0slQgmFjSMiIqJ4UJXIcqsx5ihm2DgiIiKKB3arJSw+iyQiIiIS8MkRNR2aJXYlAWJH3A7ZF3k1s+LW/cW0I5ru7t5GimESXmqW4BolnBgO6zW3q4MY02PpCtDF2Q9sjmeNWbIbpaO7rE/Ci9eQ8zjF8UgxZM1oBBZHqyUuNo6IiIjigYlnExavLBEREZGAT46IiIjiQYlwhmwGZMcMG0fUdFi+ZCKdsyiA8Ahbj/Chq+awvzgfks9hPiSR09xIXt38M89QHOYiCucRvXjNrXMZ2cxt5DYuSPOZwUhqivxVJcUgCXEX1qsgnUvVbbezExDrFIU5lShBWD+HcRgWz8SziYtXloiIiEjAJ0dERETxwMSzCYuNI2rcpNQWcpeH1E0kPkKPYdeItWtKHHovdn1Zu8HE7fy6u/qJKUOs6ULk80LYzqyfRxHH0Fu6IcXs9tb0HlJXWuyGzjeZYfmCJj9k3fpZaaiYmMaaSoSj1RIWG0dERETxwBmyExabnUREREQCPjkiIiKKB1WNMPEsn2/EChtHlPgaMo7Bei43uzj0+9ulD3Eayi/HJtmf1xpnZL+deS5NiMtSUOdqf9csX9S632+zoUyMw7EOnbclDdF3t4trDnFsjVa80pGEocnHZYkYc5SweGWJiIiIBGwcERERxcPJofyRlDCUlJSga9euSEtLQ0FBATZv3uy4/cqVK9GzZ0+kpaWhX79+ePPNN6X1uq5j1qxZ6NixI9LT01FUVITdu3eHVbdEwcYRERFRPCiK2bUWVgm9cfTyyy9j2rRpmD17NrZs2YIBAwaguLgYBw8eDLr9hg0bMGbMGIwfPx5bt27FiBEjMGLECGzfvt3YZu7cuViwYAGeffZZbNq0CS1atEBxcTFqa2vDvjTxxsYRNT8nh89GOoz25OF0zShOdChG8euqVESaUKzEfTRdsS1uzqvqmlQ01WMU6JpZnK6XuJ3VyWBTa9yIpsnF7nrpmlGg6XJxSdc0ozhyUZ//VsosicDp+ifysROR8fmKd0VCV11dLZW6Ovt4wnnz5mHChAkYN24cevfujWeffRYZGRlYvHhx0O2feuopDB06FNOnT0evXr3w0EMPYdCgQXj66acBnHhqNH/+fNx3330YPnw4+vfvj+effx4HDhzAa6+9Fou32yDYOCIiIooH641HOAVAp06dkJWVZZQ5c+YEPV19fT3Ky8tRVFRkLFNVFUVFRSgrKwu6T1lZmbQ9ABQXFxvb79mzBxUVFdI2WVlZKCgosD1mY8DRakRERPEQpaH8+/btQ2ZmprE4NTU16Obff/89/H4/cnJypOU5OTn4/PPPg+5TUVERdPuKigpj/clldts0RmwcUfMQRtdAWFnqXed7d8fa5Sb25ojTBKiKfTeP3+WQf+k8QvqQgOsQTloPobtKcxjiL6YMETOOW7vFxCHe0tBvp9Qw4jGs3YPhpJQRj+e0v/hLc+rGbawpMJy4fe9RPaflb72pXEsHmZmZUuOIItf0PzVERESJKErdam61a9cOHo8HlZWV0vLKykrk5uYG3Sc3N9dx+5P/hnLMxoCNIyIioniIaKRa6BNIpqSkID8/H6WlpcYyTdNQWlqKwsLCoPsUFhZK2wPA2rVrje27deuG3NxcaZvq6mps2rTJ9piNAbvViIiI4kGJMOYojC7DadOm4cYbb8S5556L888/H/Pnz8exY8cwbtw4AMANN9yA0047zQjqnjJlCi699FI88cQTGDZsGFasWIGPP/4Yzz333IkqKAruuOMOPPzww+jevTu6deuGmTNnIi8vDyNGjAj/vcUZG0fUPLj9EtEd4lJs9zHjKjRVjj1RIKxzSEXh1811Yk3djhi3Dt/32FRdTFtiTW1il+okbGJMjvgfgDXmSIgz0l3GM8kpJuKf4kO3/KIUu/ceDus1SfD0H9HkFGtG4bn++uvx3XffYdasWaioqMDAgQOxZs0aI6B67969UIXrfMEFF2D58uW47777cO+996J79+547bXX0LdvX2Obu+66C8eOHcPEiRNx5MgRXHTRRVizZg3S0tIa/P1Fi6Jb/6qbmOrqamRlZaHypT8gMyM93tUht8SGidvcapagWCmQWHydZLknEAN/hWNoqS3k43mSjdfeFHOdGLxcl9pK2ud4kvlznW5+URzzy59FnyYEQAsNnR/rU2DHqTGTrJoNkNQkn/G6VfJx43WmUiXtk+I317U8ao4ySaqRt/NU/WDW4ccjxmvt+HFpO39VtfHae7TG3M7rlSsr/Ofvr/chGDXJ/j9FJUloWCYnS+vUZPN3rQrbWQO3xZ/F41k/U9J/zuLn0PKftmK3Tlju+B+9U2PernHk9gYgnMZVNIKaozGnWDiNoxDrXl1Ti5xf3o2qqqqYBTkb/y/9bSEyW4T//1L1sePIGXVbTOvaXPHJERERUTww8WzC4pUlIiIiEvDJESU+t4/jrbEZ8Q9FkWguY3p8un1ckBjD5NfMddaex2Thtkd3Oc+R3bxOjmlRxG4np1QgYpyRQ1yRbnsuh/s4pzilph01QI1dpCmMGmruqGaIjSMiIqJ4iNIM2RR9vLJEREREAj45IiIiigNdUaBH0DUWyb7kjI0jIpdsv4iE5U5zB6ninEe6fSyRT3P3QFfKs+YQVyTWQRNztSn22ynCwR1zzGlSJeTjCXFG4tB2LYy5a6zzHyl2w9ED4p6EKRLEvG2WeDRpRhOH7ZqEcOZNaob5yhqEokQ4Wo2No1gJ+beybNkyvPHGG8bPd911F7Kzs3HBBRfgm2++iWrliIiIiBpayI2j3//+90hPPzFpVVlZGUpKSjB37ly0a9cOU6dOjXoFiYiImqQGzq1G7oXcrbZv3z6cddZZAIDXXnsNo0aNwsSJE3HhhRfisssui3b9iJyF8+UQMOO2zfECtjPXKTC7GdwOFncayi91dzmw63LzO1TCb9Plpln6jMSfxS5E61B+cRZxt+lWnCbi13x+23W2xxO7vhwunZRmxBNGH1lAF1Toh2gwid71JX4G2B0EgDFHiSzkv56WLVvihx9OpA/45z//iSuvvBIAkJaWhuOW9AFERERkg0+OElbIT46uvPJK/PrXv8Y555yDL774AldffTUAYMeOHejatWu060dERETUoEJudpaUlKCwsBDfffcd/va3v6Ft27YAgPLycowZMybqFSQiImqSTs6QHUmhmAj5yVF2djaefvrpgOUPPPBAVCpEFBPhZCK30sU4o+D3FU7D3p2G22vSdsFfA4CmuXsfYmxSiho8pkdze2/kNgWHw5B8MfbHOizfliZOJ2A/lF93SFtiWx/Le3L76Yg4hsnmWECYGeepceMM2QkrrHmOjhw5gs2bN+PgwYPSnCWKouBXv/pV1CpHRERE1NBCbhytXr0aY8eOxdGjR5GZmSlN7sbGERERkTscrZa4Qn4md+edd+Lmm2/G0aNHceTIERw+fNgohw4dikUdiYiImh6OVktYIT852r9/P26//XZkZGTEoj5EoZHm2YnPF4V1viDb7YR7EcUyO5I4z5F4M+i3xBi5ja4RY46SrfPf/Jc11Ym0TriWuiq/P1VIC+IYPRROPITLeCR5nqM43T27jcUK69gOn2vxGsXrvRM1cSF/exUXF+Pjjz+OWgX279+PX/7yl2jbti3S09PRr18/6fi6rmPWrFno2LEj0tPTUVRUhN27d0ft/ERERPGgK2rEhWIj5CdHw4YNw/Tp0/HZZ5+hX79+SE5Oltb/7Gc/c32sw4cP48ILL8Tll1+Ot956C+3bt8fu3bvRunVrY5u5c+diwYIFWLZsGbp164aZM2eiuLgYn332GdLS0kKtPhERUWKIdDg+Y45iJuTG0YQJEwAADz74YMA6RVHg97tPBfDYY4+hU6dOWLJkibGsW7duxmtd1zF//nzcd999GD58OADg+eefR05ODl577TWMHj061OoThc/FXZo11Ybb4fLiMH/NYci/2JMjdrkleSzddMI6aWoAiMvtz6M4pQUJoytTF1KEWLvB/F5f8H3CGDYfkKZEnA5APB4sxxOH1Uc4RN9RIqbQCKebLk7d2dLv0G23bQJ0vdvREdnTH7spRShyIV9ZTdNsSygNIwD4xz/+gXPPPRfXXnstOnTogHPOOQd//vOfjfV79uxBRUUFioqKjGVZWVkoKChAWVlZ0GPW1dWhurpaKkRERERuhdQ48nq9SEpKwvbt26Ny8q+++grPPPMMunfvjrfffhu33norbr/9dixbtgwAUFFRAQDIycmR9svJyTHWWc2ZMwdZWVlG6dSpU1TqSkREFFWcITthhdQ4Sk5ORufOnUN+QmRH0zQMGjQIv//973HOOedg4sSJmDBhAp599tmwjzljxgxUVVUZZd++fVGpKxERUVQpSoRD+dk4ipWQu9V+97vf4d57743KnEYdO3ZE7969pWW9evXC3r17AQC5ubkAgMrKSmmbyspKY51VamoqMjMzpULNk6JrRnHeUPiy0TWzhHNO6FLRdNUoInG5dZ24v09TpKLrZnFS71eMIhL31y21lbYTR8NYi8djFuF6KYoiFWiaURRVNYrm06QinVfTjCLXW7Mvmm6UqBDqHdY+1v3COV40RPhZJmrOQg7Ifvrpp/Hll18iLy8PXbp0QYsWLaT1W7ZscX2sCy+8ELt27ZKWffHFF+jSpQuAE8HZubm5KC0txcCBAwEA1dXV2LRpE2699dZQq05ERJQwOEN24gq5cTRixIionXzq1Km44IIL8Pvf/x7XXXcdNm/ejOeeew7PPfccgBOj3+644w48/PDD6N69uzGUPy8vL6r1ICIianCRznKdYKPvmpKQG0ezZ8+O2snPO+88vPrqq5gxYwYefPBBdOvWDfPnz8fYsWONbe666y4cO3YMEydOxJEjR3DRRRdhzZo1nOOIiIiIYiLkxlG0XXPNNbjmmmts1yuKggcffDDovEpEMRXGI2vHlBxCnJCiWOYlEl6LqT+sxLAaaS4jVT6e3dxGcl3l89jNtxKwXKyEmGbEIZ2G5jDPke4V5yKySQtijSdyOx+PGOej68GXA/ZzGwXE64Q+35LCro9A1s9KM71GweL9Qt2fYiPkxpGqqo5/7NEayUZERNSURZoCpDmnD/F6vaioqEBNTQ3at2+PNm3aRPX4ITeOXn31Velnr9eLrVu3YtmyZXjggQeiVjEiIiKik3788Ue88MILWLFiBTZv3oz6+nroug5FUXD66afjqquuwsSJE3HeeedFfK6QG0cn03iIfv7zn6NPnz54+eWXMX78+IgrRRT1NAtit0xS7B5FO93JiV1p1uH70jGER+ViihBAvixCTxVS5BSHErGbziecV4HDEG+nay52NTl0b9l1pQUbvh/8NGIXm1N1gqcIAcJLO+L46ZBSbbg6tGthpcYIJ/VHtI+XwOk5Eh4Dsl2bN28eHnnkEZx55pn46U9/invvvRd5eXlIT0/HoUOHsH37drz//vu46qqrUFBQgIULF6J79+5hny9qMUeDBw/GxIkTo3U4IiKiJo1D+d376KOPsH79evTp0yfo+vPPPx8333wznnnmGSxduhTvv/9+/BtHx48fx4IFC3DaaadF43BERERNHmOO3HvppZdcbZeWlobf/OY3EZ8v5CvbunVrtGnTxiitW7dGq1atsHjxYvzhD3+IuEJEREREVuvWrUPv3r2DJpSvqqpCnz59sH79+qicK+QnR08++aQ0Wk1VVbRv3x4FBQVo3bp1VCpF5Fo4d07WfaTh2maMSjh3ZdahtZrN0G9r+g9pmD/MuA+vT97OI1RJfKKuaU5TCAj7CMf2Ofz5O753hyH74bCLGRLjbgJiicT7OvESW4f8247Ql7cL52Mk1dVlbFNYrNMJNKOnBU1epMljm1G3GgDMnz8fEyZMCJoWLCsrC7fccguefPJJXHLJJRGfK+TG0RVXXIFOnToFHc6/d+9edO7cOeJKERERNXkRdqs1t4byv//9bzz22GO266+66io8/vjjUTlXyFe2W7du+O677wKW//DDD+jWrVtUKkVEREQkqqysRHKy/dDcpKSkoO2TcITcOLKbBffo0aNM6UFEROTSyRmyIynNyWmnnYbt27fbrt+2bRs6duwYlXO57labNm0agBNT4c+aNQsZGRnGOr/fj02bNmHgwIFRqRRRNEiPqwPSQMBmnRA7Ek76EMtjbhXmXD8+zf7mwS6Mx7rcr4mvzfr5LBPTq6qYvsJcLs6v5NflOBnNZm4dXbXE08gHDLrPiR3dxSaJsTt2cxs1ZIyQ6zmPItWQKTQSfS6iaM9r1khwtFporr76asycORNDhw4NeBhz/PhxzJ492zEdWShcN462bt0K4MQXx6effoqUlBRjXUpKCgYMGIDf/va3UakUERERkei+++7DqlWrcPbZZ2Py5Mno0aMHAODzzz9HSUkJ/H4/fve730XlXK4bR++88w4AYNy4cXjqqaeCRosTERGRSwoiHK0WtZoEOHToEG677TasXr0aqqpi1KhReOqpp9CyZUvbfWpra3HnnXdixYoVqKurQ3FxMf74xz8iJycHwImA6kcffRQffPABvv/+e3Tt2hW/+c1vMGXKFFd1ysnJwYYNG3DrrbdixowZxlNeRVFQXFyMkpIS41yRCnm02pIlS6JyYiIiouZMhwo9gjw0kex7KmPHjsW3336LtWvXwuv1Yty4cZg4cSKWL19uu8/UqVPxxhtvYOXKlcjKysLkyZMxcuRIfPjhhwCA8vJydOjQAS+88AI6deqEDRs2YOLEifB4PJg8ebKrenXp0gVvvvkmDh8+jC+//BK6rqN79+5Rn0ooaulDiBotu357p5gZ4W7Pqd9f/PLShNs8Mc+alabb3w6K8x4lecxj+C0hVSnJ5ro6n1C/VPE8cr3tvmgVp3gtcTvLHbBtzjSXx3PKNSYdW8gBZndOp2MDgCLOEyXEIwXEOsVwOiMKTVi56MiVnTt3Ys2aNfjoo49w7rnnAgAWLlyIq6++Go8//jjy8vIC9qmqqsKiRYuwfPlyXHHFFQBOPEzp1asXNm7ciMGDB+Pmm2+W9jnjjDNQVlaGVatWuW4cndS6dWucd955toPEIsVPFBERURyczK0WSQGA6upqqdTV1UVUr7KyMmRnZxsNIwAoKiqCqqrYtGlT0H3Ky8vh9XpRVFRkLOvZsyc6d+6MsrIy23NVVVWhTZs2Iddx0aJF6Nu3L9LS0pCWloa+ffviL3/5S8jHscMnR0RERHEQrdFqnTp1kpbPnj0b999/f9jHraioQIcOHaRlSUlJaNOmDSoqKmz3SUlJQXZ2trQ8JyfHdp8NGzbg5ZdfxhtvvBFS/WbNmoV58+bhtttuQ2FhIYATDbqpU6di7969ePDBB0M6XjCuGkeDBg1CaWkpWrdujQcffBC//e1vpaH8RAnP7ReQ2+2ER7liZuyALiiht0Z8+ut36DoTu9X8lrQgYvdZktDFY32y7PMH734T50WxzpGiwDy45kmBLc0ffLlD14bU7WHpqpLTh4hD+cOYSsFhagHp2OF2j9lN+2D9BYjTEwjvXZG6Ax26Y8PpMrK+9zCun+3x3B6LqU5CEulcRSf33bdvnzRIKjU1Nej299xzj+MM08CJLrWGsH37dgwfPhyzZ8/GVVddFdK+zzzzDP785z9jzJgxxrKf/exn6N+/P2677baGaxzt3LkTx44dQ+vWrfHAAw/gN7/5DRtHRERECSAzM9PVCPI777wTN910k+M2Z5xxBnJzc3Hw4EFpuc/nw6FDh5Cbmxt0v9zcXNTX1+PIkSPS06PKysqAfT777DMMGTIEEydOxH333XfKelt5vV6py++k/Px8+Hy+kI8XjKvG0cCBAzFu3DhcdNFF0HUdjz/+uO1wvlmzZkWlYkRERE1ZQ08C2b59e7Rv3/6U2xUWFuLIkSMoLy9Hfn4+AGDdunXQNA0FBQVB98nPz0dycjJKS0sxatQoAMCuXbuwd+9eo+sLAHbs2IErrrgCN954Ix555JGQ6n/Sr371KzzzzDOYN2+etPy5557D2LFjwzqmlavG0dKlSzF79my8/vrrUBQFb731FpKSAnc9OXs2ERERORODqsPdPxZ69eqFoUOHYsKECXj22Wfh9XoxefJkjB492hiptn//fgwZMgTPP/88zj//fGRlZWH8+PGYNm0a2rRpg8zMTCMmaPDgwQBOdKVdccUVKC4uxrRp04xYJI/H46rRJlq0aBH++c9/GsfetGkT9u7dixtuuMHI6AEgoAHllqvGUY8ePbBixQoAgKqqKC0tDQjWIkpoLoePu+byS0mM4xEFDqM3j6cJcUaBsUTm6zQhLKjOK9cnOcncUTyTGOvkt9RBFa6RXxWSOwakuRD2E9NwuBxGr1lzndhuZx5PDfimEuN4hPpZYokaLBVIQ4o0FUhzjgtK9DQqCeTFF1/E5MmTMWTIEGMSyAULFhjrvV4vdu3ahZqaGmPZk08+aWwrTgJ50iuvvILvvvsOL7zwAl544QVjeZcuXfD111+7rtv27dsxaNAgAMD//d//AQDatWuHdu3aSbnXrNOLhCLk0Wqayy9AIiIishetgOxYaNOmjeOEj127dg2YYygtLQ0lJSUoKSkJus/9998f0Si6k05m7IilsJrO//d//4fbbrsNRUVFKCoqwu2332603oiIiOjUTsYcRVKak1mzZqG8vLxBzhXylX377bfRu3dvbN68Gf3790f//v2xadMm9OnTB2vXro1FHYmIiKiZ+89//oOf/OQnOP3003HrrbfirbfeQn19fUzOFXK32j333IOpU6fi0UcfDVh+991348orr4xa5YhCEhBX5HIyGykOIYy5dYS7N6c7OTHOSIFuWSfGApnLrWlBROIcSNZpaMQ0I2L8kVgH1VIHv2J+HYjzNekeh68JcTunafwdUnyIMUjinD7idppldG5SWvDfrXWeI2m+IMVm0inLftJcRNbPgyrGWInzAAWtDoVD/N3EKOA4USRyt1oiWrx4MTRNw4cffojVq1fjjjvuwLfffosrr7wSw4cPxzXXXBPWbNvBhPwnvXPnTowfPz5g+c0334zPPvssKpUiIiJq6nRE2K3WDFvlqqri4osvxty5c7Fr1y5s2rQJBQUF+NOf/oS8vDxccsklePzxx7F///7IzhPqDu3bt8cnn3wSsPyTTz7hCDYiIiKKCXEk2km9evXCXXfdhQ8//BD79u3DjTfeiPfffx8vvfRSROcKuVttwoQJmDhxIr766itccMEFAIAPP/wQjz32mDS3AFHIHLo9EoFuUz9dyEWhWfJSWLvPjH0sj8NVxdxO7C6zjnoXe3KcLpHfZjoAXei+8zlMJ2BXbyeOw2ZtUoRYf7brlbR2xbnZJxaikoLE9uBR7k4KJ/2Hm2OFcjwOnXfEbrXQ9O/fH+eddx5+/etfY/To0WjVqpW0vn379hg/fnzQ3q1QhfxpnTlzJmbNmoWFCxfi0ksvxaWXXoqnn34a999/f1jTgBMRETVHJyaBjKRrrXk1jt577z306dMHd955Jzp27Gg8JYqFkBtHiqJg6tSp+M9//oOqqipUVVXhP//5D6ZMmRLRhEtERETNycknR5GU5uTiiy/G4sWL8e2332LhwoX4+uuvcemll+Lss8/GY489Zsy4HQ0RPeds1apVwGMtIiIiolhp0aIFxo0bh/feew9ffPEFrr32WpSUlKBz58742c9+FpVzhBxzRBQzkcYZOcU0uIx3CGdSNcUhNYnbOzsxRkhebr+P7jDk3+4hrriZNYWJGGdkjZ2S2A5nD+9eSxzKrya5C+QRY5B08dpZY2FsUotYY5gijfGxHk/xuHgf1jrYXL+AY4vbRSOmpwnEBUlTNoT5OYyHRM2t1picddZZuPfee9GlSxfMmDEDb7zxRlSOy8YRERFRHOi6Ig2SCGf/5mz9+vVYvHgx/va3v0FVVVx33XVRCcYG2DgiIiKiRuLAgQNYunQpli5dii+//BIXXHABFixYgOuuuw4tWrSI2nlCahx5vV4MHToUzz77LLp37x61ShARETU/kU7k2Hi6EKPhJz/5Cf71r3+hXbt2uOGGG3DzzTejR48eMTlXSI2j5ORkbNu2LSYVIWow1hghIc7CKX5I3if442xrjJH4xSeusz4OF9dpNvFHAOAT0mj4k4XllvmQ0lPN116fmDJE2N9SB78QlCOlD1Et8TOacDIxxsdyTXRpbiMt6HInms/cx5Mif1W5PUZAbJGbfXT7yaRcd2KI+4nvXYiHadSje6M5h1IzxnmOQpOcnIxXXnkF11xzDTxu4voiEHKz85e//CUWLVoUi7oQERERBfWPf/wDw4cPj3nDCAgj5sjn82Hx4sX417/+hfz8/IA+vnnz5kWtckRERE0Vnxy5t3fvXnTu3Nn19vv378dpp50W9vlCbhxt374dgwYNAgB88cUX0rpG/ZiYEotTKhG7z1lAl5jLu4swhvmHM+Rf7EqzdmnZDcu3vlWxN6Ne6GLzWKoj9iaJx/MJXXYpHvm6+nSzn07VfLAldrM5XAdF6G4Ru8is7LrI5K446/7C70JM6eGQmkTsLovKN5X0eYv9nWxEEqEbLJwpA9z+7TdSbBy5d95552HEiBH49a9/jfPOOy/oNlVVVfjrX/+Kp556ChMnTsTtt98e9vlCbhy98847YZ+MiIiIKFSfffYZHnnkEVx55ZVIS0tDfn4+8vLykJaWhsOHD+Ozzz7Djh07MGjQIMydOxdXX311ROcLO9T9yy+/xNtvv43jx48DsAQxEhERkSOmD3Gvbdu2mDdvHr799ls8/fTT6N69O77//nvs3r0bADB27FiUl5ejrKws4oYREMaTox9++AHXXXcd3nnnHSiKgt27d+OMM87A+PHj0bp1azzxxBMRV4qIiKip4ySQoUtPT8fPf/5z/PznP4/peUJ+cjR16lQkJydj7969yMjIMJZff/31WLNmTVQrRxQSRZWKomtGgaqYxUrXzOL2VMKxNdVjFLc0XZGKosAoPr9iFLHaqgLU1etGkd6CLhev3yzisb2axygnv5hPFvF+VFOTjGK9rtD8RlE8HqMEXlbdKPJyzVJ0oZjLFVU1iryNdTvFKG5ZjyddPE0zS8AvzmFdNIn1aUhh/C1Q+PjkKHGF/OTon//8J95++22cfvrp0vLu3bvjm2++iVrFiIiIiOIh5MbRsWPHpCdGJx06dAipqalB9iAiIiIrjlZLXCF3q1188cV4/vnnjZ8VRYGmaZg7dy4uv/zyqFaOiIioqWK3WuIK+cnR3LlzMWTIEHz88ceor6/HXXfdhR07duDQoUP48MMPY1FHoshJ87zYb+Y0f5GURkOIBXH6gvJDTBdh7uN3SBEihpkEzHMkvA+fX5izKMm6XfDjSVktbGsA+D1CbhJr/IkUW+UNfnALXQ89fYg8z5G8TlGD/56s8yHZpTAJFiMVlDW2yG4/a1wVIjyXzfsDLO9D3M4hLU5MJcIcSuGI1/WiRiHkT0Pfvn3xxRdf4KKLLsLw4cNx7NgxjBw5Elu3bsWZZ54ZizoSERE1OTqUgIERIRU+OQIAbNmyBb/4xS9w9dVX4+6778aePXsiPmbIT44AICsrC7/73e8iPjkREVFzpUGBFkEDJ5J9m5Lrr78eDzzwAHr16oUtW7Zg5MiReOyxx3DVVVeFfcywGkeHDx/GokWLsHPnTgBA7969MW7cOLRp0ybsihARERGFqnXr1vjFL34BADjnnHMwYsQIXHHFFRE1jkLuVlu/fj26du2KBQsW4PDhwzh8+DAWLFiAbt26Yf369WFXhEiakCfa87w4zXPktnrC3Ea66jGKqmtG0RSPVFToRvHrilGsxLmNNB1G8WtyURTFKH4/jFJXLxe7S+nXFKMEe0RvBnkKxTrPkXgtxeXWS57kMYpI8/mlYidwbiO7eZOCLw8gXlhxviKHeZcC6qTrZnF7XpvPsnSshpzPSLoODueN5ZxH4rGjfHzrPFqJjAHZ0XHmmWfiiSeeMP6OsrOzIz5myI2jSZMm4frrr8eePXuwatUqrFq1Cl999RVGjx6NSZMmRVwhIiKi5iCieKMIZ9dujHy+4Amx6+rq8Mwzz6Bz584YOnQo+vbti6KiIuzfvz/sc4Xcrfbll1/ilVdegUcYgeHxeDBt2jRpiD8RERFRtHTp0gW33347brnlFunp0KpVqwCcmIfx008/xbZt27Bt2zaMGTMGBw4cwJdffhnyuUJuHA0aNAg7d+5Ejx49pOU7d+7EgAEDQq4AkcFuDHs0uhxcDuV3Taifbh1vL/Dr5smcThusqw0IfOt1dWY3QVqqeYNi7dWqE0bYpybbHNvySF4M7vSrwleDQ7eH7vParhMpQgWduqE0n7sh/2KqELnrRL4QeoRdNtburojv010O17dUQv7Z4fPW5DnNc9EI6YhsIsfmlu79jjvuwNNPP42HH34YN998M+644w5069bNWN+iRQsMHjwYgwcPjvhcrhpH27ZtM17ffvvtmDJlCr788kujAhs3bkRJSQkeffTRiCtERETUHDDxbGimT5+OadOm4a9//Svmz5+Ps88+G8OHD8f06dNRUFAQ1XO5ahwNHDgQiqJId1F33XVXwHa/+MUvcP3110evdkRERE0U04eEzuPxYMyYMRgzZgzef/99zJs3DxdeeCEKCgrw29/+FiNGjIAShaeKrhpH0ZhQiYiIiChaLr74Ylx88cX46quvMH/+fNx0003o0KEDdu/eHfGxXTWOunTpEvGJiMLmdBcgDs13GpYsbueUJsDlHYddmhHFkpTDp5t/YmL6EOsdnxhK4RUGZFir4xfeo9drvk5Okjf0CyPk/UKVfELaErs4JwDwq0L6EOt7FeogpsYIuPpiXJbffsi+yG7otdOQbDk2yWk7IZ7JGsdjl2YELlN/BMQ2udwvQrapRE6shLCyQeoT8DfYmNKJxAG71UIze/ZsVFVVBS1HjhxBTU0Nvvrqq6icK6xJIA8cOIAPPvgABw8ehGb50rr99tujUjEiIqKmTIdzjkM3+zcnDz30ENLS0nDTTTdh0KBByMrKQmZmJjIzM43XWVlZUTlXyI2jpUuX4pZbbkFKSgratm0r9e0pisLGEREREUVdaWkpnnjiCSxevBijR4/Gb3/7W/Tt2zcm5wr5WevMmTMxa9YsVFVV4euvv8aePXuMEq3HWURERE0dJ4EMzeWXX47XX38d//73v5GamoqCggIMHToUpaWlUT9XyI2jmpoajB49GqrbOTqIYslNGoRwiTk4HGKRxKn8FV2XiqarRhHTh6iKLhUxrYfPD6M4EdOK1HvlIl4WMdtHnVc1ikfRpeLXPUYRU6Voqkcq4gF1v98oSkqKVMS0GWK6EEVVpBJpKhHH4vObxW26D5ElzYhtCdgvws+l07GjLdRUIrFOJ9KMMH1IeHr06IE//elP+PrrrzF48GCMHTsW55xzDl588UX4XcY3nkrILZzx48dj5cqVUTk5ERERUTjat2+P+++/H59//jlGjhyJ22+/HWeccUZUjh1yzNGcOXNwzTXXYM2aNejXrx+Sk5Ol9fPmzQurIo8++ihmzJiBKVOmYP78+QCA2tpa3HnnnVixYgXq6upQXFyMP/7xj8jJyQnrHERERImCo9VCM2rUqKAj1bxerzEC9ciRI1E5V1iNo7fffttIH2INyA7HRx99hD/96U/o37+/tHzq1Kl44403sHLlSmRlZWHy5MkYOXIkPvzww7DOQ02ElELAYTNx+LKUPsTy6F7cTjq2uwerijBmxK/Y/0l5hKH8fs1+KL/Ia8nO4bbXQRzmrwlfoNKUAX779ye+J2uXop4k3BCFMVzcqVtLXOc8fF8L+lpR7YfQOx1bnJIgKulqpPPaDLe31EEX1jl+l4aTQiMew/oBy99d8/qP3I1EngTy0KFDuO2227B69WqoqopRo0bhqaeeQsuWLW33CeWBxg8//IABAwZg//79OHz4sJQrzU5GRgby8vKQnZ3tWKIh5MbRyUjxm266KSoVOHr0KMaOHYs///nPePjhh43lVVVVWLRoEZYvX44rrrgCALBkyRL06tULGzdutM2dUldXh7q6OuPn6urqqNSTiIiouRg7diy+/fZbrF27Fl6vF+PGjcPEiROxfPly231CeaAxfvx49O/fH/v373ddp//3//5fWO8lHCHfQqSmpuLCCy+MWgUmTZqEYcOGoaioSFpeXl4Or9crLe/Zsyc6d+6MsrIy2+PNmTMHWVlZRunUqVPU6kpERBQtYix8uCUWdu7ciTVr1uAvf/kLCgoKcNFFF2HhwoVYsWIFDhw4EHSfkw805s2bhyuuuAL5+flYsmQJNmzYgI0bN0rbPvPMMzhy5Ah++9vfxuYNREHIjaMpU6Zg4cKFUTn5ihUrsGXLFsyZMydgXUVFBVJSUgIekeXk5KCiosL2mDNmzJD6Ivft2xeVuhIREUVTtEarVVdXS0XsPQlHWVkZsrOzce655xrLioqKoKoqNm3aFHQftw80PvvsMzz44IN4/vnnE3rUe8jdaps3b8a6devw+uuvo0+fPgEB2atWrXJ1nH379mHKlClYu3Yt0tLSQq2GrdTUVKSmpkbteJTg3KYPEbmNubAE+Gg28URiv79TDIBPM8+rKnJd67zmumThNHX1lnMJ8SZ1dWb9UlPkWBt/GCOia/0p5g/hfGf55AApNdU8njhM3xpzJMcCnfq1leYz36yaJF8H18P2pfif0FN/WM+jNEz2EEsdLHFUsfyPJ14xTFIdwoi9SjDRCsi29pDMnj0b999/f9jHraioQIcOHaRlSUlJaNOmje3DCTcPNOrq6jBmzBj84Q9/QOfOnRN6bsSQG0fZ2dkYOXJkxCcuLy/HwYMHMWjQIGOZ3+/H+vXr8fTTT+Ptt99GfX09jhw5Il3syspK5ObmRnx+IiKipmDfvn3IzMw0frZ7QHDPPffgscceczzWzp07o1o30YwZM9CrVy/88pe/jNk5oiXkxtGSJUuicuIhQ4bg008/lZaNGzcOPXv2xN13341OnTohOTkZpaWlGDVqFABg165d2Lt3LwoLC6NSByIiong5OU9qJPsDMPKLncqdd955ysFUZ5xxBnJzc3Hw4EFpuc/nw6FDh2wfTuTm5p7ygca6devw6aef4pVXXvlv/U+8gXbt2uF3v/sdHnjggVO+h4YSVuLZaGjVqlVATpQWLVqgbdu2xvLx48dj2rRpaNOmDTIzM3HbbbehsLDQdqQaERFRY6FBgRbBcPxQ923fvj3at29/yu0KCwtx5MgRlJeXIz8/H8CJho2maSgoKAi6T35+/ikfaPztb3/D8ePHjX0++ugj3HzzzXj//fdx5plnhvReYi3kxlG3bt0c5+CIZh/ik08+acyvIM6ZQBSUZR4VRYiL0D1hBIFYYikUIX+25jKoxO7LS3OIMxCzaGgOt5VerzB/jqU+YmzS8TrzXBnC03ZrfJSmB48dCYi1Eq+L8DpgXiJpfh/79yuus5vbyLpcjvFxOR+SGCdjjUUSpzmS5lCybKcKPwvXOODd6ZHFMEms1ySWsUSJMC9RlOOZbOeZsjtvM0thEkyvXr0wdOhQTJgwAc8++yy8Xi8mT56M0aNHIy8vDwCwf/9+DBkyBM8//zzOP/98ZGVlnfKBhrUB9P333xvni9b8RNEScuPojjvukH72er3YunUr1qxZg+nTp0dUmXfffVf6OS0tDSUlJSgpKYnouERERIkmkWfIfvHFFzF58mQMGTLEeEixYMECY73X68WuXbtQU1NjLGtKDzRCbhxNmTIl6PKSkhJ8/PHHEVeIiIioOYhWzFEstGnTxnHCx65du0pPqIHQH2hcdtllAcdIFFF7PvuTn/wEf/vb36J1OCJ3ojEbmqKaRWTJRK5DNYqUtV7xGMWJODeJX5OLkMBe4vXqUhHfrupRjOLz61Lx+2GUeq9ZRIF1MIv4nhQjMuJEgeoxixNVNYt0WTWpiDSfZhRd022LfDz77aR9hGKtg67rZpH2s6+rXHFNLtK60D+jYn1OsaHt/7C29bZ8rhtMrGcuJIqiqAVkv/LKK2jTpk20DkdERNSkJXJuteYu5MbROeecIwVk67qOiooKfPfdd422b5GIiKihRfogjQ/hYifkxtGIESOkn1VVRfv27XHZZZehZ8+e0aoXERERUVyE3DiaPXt2LOpBFJ4oDDfW7Y7hMIxYF9aJsUYKLPEwwo9i+hDrbBji8H0xNki11E3zCyk1hHU+n3w8v7CdX7i9FO803T6S162hiX6zgoowRYI1PkZ6wuxwi2u3zinGR04togV9DQCKEBflGDPklngM8ZfocqoIx2Hl4rETIeeU22H9iZBKpLGKcLQaYjharbmL2ySQREREzVkij1Zr7lw3jlRVdZz8EThxp+iz3sISERFRgIaeIZvcc904evXVV23XlZWVYcGCBdCi8diaiIiIKI5cN46GDx8esGzXrl245557sHr1aowdOxYPPvhgVCtHzYz4ZFJ8XnyKJ5aGgFQP7mKJFDF+JcnhXDb1cJrfyKeZf2JiyhBNk4/lFzNbCK99Pvk9+YUNVY9iu514+eymsvFb6pDsCf7UV7fOZyReL78fdjSveTxfrRmn5BR/5Ksz9/EkO8R82dyIOaaHIEow7FZLXGF9kxw4cAATJkxAv3794PP58Mknn2DZsmXo0qVLtOtHRETUJIkTr4ZbKDZCahxVVVXh7rvvxllnnYUdO3agtLQUq1evRt++fWNVPyIiIqIG5bpbbe7cuXjssceQm5uLl156KWg3GxEREbnDSSATl+vG0T333IP09HScddZZWLZsGZYtWxZ0u1WrVkWtckSR0MOZc0XcxxKsIx5PF+KPnOY58ulq0HV+y5eaGHPkFeKHvF77uYN8XmHOnAw5LkgTghF8wslUYX+Pah+npDjk3FK8dcI+NsFSkOORFCH+y18vxzYpNrFhbudGsts/lOM1Kok2HxKFjTFHict14+iGG2445VB+IiIiosbOdeNo6dKlMawGERFR88LEs4mLM2RT4yM+wQyjq8SaLkRxGI5ue14bfsjdW6pidoGIw/qto0w8Qu9Ifb27+cLEdB11ln3E7jOxF6bepwjbWKYJ0IN3Dyqa5frYpcqwdPH4jteadXXoBrNLBaIJ40Wsw/rtjhc4xN9dt5OU1sNlKpAmI5HTf1i7dxOtfhHSEGHMUdRqQlZN65NGREREFCE+OSIiIooDBmQnLjaOiIiI4oCNo8TFxhEljnBShjgQh6PrCCOOxOGbRxzWr+pmTE49UqXtkhSxDuZ7EmN/rOT0IZbh8UKd/MIQfWv6EDGGSbyUYpyR9e15FPN9OKVEseOYSsQnDuuXe/P9YpqROnO71JZmHazD8HUhDkpNchcdIMcmWaZIcHUE96SYqGYWwuSK21Q/bkX5u6OhaLoipRUKZ3+KDcYcEREREQn45IiIiCgO2K2WuNg4IiIiigM2jhIXG0fUdIQbtyDOpSLN+WKZj0eMM9KCx+dY5y8S44z8mn3qDq84/5DQ2W0NzbCLR9L81pgc8+eUFLN+YoyC0wRy4jqPv05el5xq3fwES8yRZkkTYkeMR/LXmfsomeZ53KYSCYglUoNv51pj+t/HWlcl+PxP1pgvV9zGCDXxeYmo+WDjiIiIKA70CBPPNqa2e2PDxhEREVEc6LoS8LQ51P0pNtg4IhIJt2K6Ko/BFtNo6ElCKhCXA8Gd7vLqveZrVeiy8NbLXVXiUH6f1+zCUD1yHepqzf0yMsz34XPIlKLpwacnsF4HiD8Lw/CtqTvsurGs21nTiZzkd3h/YjeiWLvAIf9hJFiQ9on/OHzd8sFhAnCi2GPjiIiIKA4YkJ242DgiIiKKAy3CmKNI9iVnHEpAREREJOCTI2o63A43jsLwYnFYvybcYyiQ6+DXgw/f9/ktQ/6F3cSR1rXH5eHwaenmn6zPa8YFiTFGJ45nHjApyTyXGHNkrUOyKsQZCe9Pt14vcbi2eI0tQ/nt0olY44LElCGKxy7+SD6WOBzd7RD9sOKPokFPrBgmShzsVktcbBwRERHFARtHiYuNIyIiojhgzFHiYswRERERkYBPjijxOaRFcM0pzkhYp1jTH4jVkOb7UYRX9rdvfs3cR6y2mEoEAOq9wY8hpgg5cQwhHYnfXGedC+d4jTlxUnJymnk8h3mOVMU8nl9x+GoQ5nsSb111y8HFtCBqkpDCxJLqRNxO9we/DprlOiSnCylbohFLJN6CO4QFSfFNYgoY61xEbs7jdGsqvqdw0n2ES0qf0/TunSNOoxJl7FZLXGwcERERxYGmWeYcDWN/io34N52JiIiIEgifHFHii3K6BMU6xNxm2Lpi7SoRupO0ZKFbR+pik2/lxKH84uGc7vh8PnNDa9qM2lpzaL9TmhH5eEJ9HM6r23QV6tZ7KKlryNxH88nTDohdGHavrfw+d7fCYtec0x2efQqT+PdHBKZREd6J2898vLrfos3mM9XUsVstcbFxREREFAdsHCWuRnyrQURERBR9fHJEREQUBxoinOcoajUhKzaOqHET4xPcppGwxDQo4n5irId1WL+wTozP0XX7GAnxsbfPL6QcsVTVIzzDrfHZvw+72CLrkH8xVqnmuLlPqxbmn7w1rKXeb65L1muN17rH8jUhXhchfktxGSfjtaREEWNtFFWYTqDe3M46/N9utH1gPFPoD8et0yKERYoFilPKED3459ox1skttzFC0Z4aoIlNNaDrekSft6h8Vimoxv/pIiIioqg6dOgQxo4di8zMTGRnZ2P8+PE4evSo4z61tbWYNGkS2rZti5YtW2LUqFGorKwM2G7p0qXo378/0tLS0KFDB0yaNClWbyNsbBwRERHFwcmA7EhKrIwdOxY7duzA2rVr8frrr2P9+vWYOHGi4z5Tp07F6tWrsXLlSrz33ns4cOAARo4cKW0zb948/O53v8M999yDHTt24F//+heKi4tj90bCxG41IiKiONAjnATyZC9jdXW1tDw1NRWpqalhH3fnzp1Ys2YNPvroI5x77rkAgIULF+Lqq6/G448/jry8vIB9qqqqsGjRIixfvhxXXHEFAGDJkiXo1asXNm7ciMGDB+Pw4cO47777sHr1agwZMsTYt3///mHXNVb45IgoDLqiGkVaDtVSFKOoqm4Uvwbb4qS2pt4ofr9mlLpar1RSkj1GEdXVm8XpDtSj+YwSICnZLALN65OKrulGka6RpjmU4PtoPr9UxH3kY+u2x5C20zWp2G5nqR9RNEXryVGnTp2QlZVllDlz5kRUr7KyMmRnZxsNIwAoKiqCqqrYtGlT0H3Ky8vh9XpRVFRkLOvZsyc6d+6MsrIyAMDatWuhaRr279+PXr164fTTT8d1112Hffv2RVTfWOCTIyIiokZs3759yMzMNH6O5KkRAFRUVKBDhw7SsqSkJLRp0wYVFRW2+6SkpCA7O1tanpOTY+zz1VdfQdM0/P73v8dTTz2FrKws3Hfffbjyyiuxbds2pKSkRFTvaOKTIyIiojjQ9MgLAGRmZkrFrnF0zz33QFEUx/L555/H7v1qGrxeLxYsWIDi4mIMHjwYL730Enbv3o133nknZucNB58cERERxUFDz5B955134qabbnLc5owzzkBubi4OHjwoLff5fDh06BByc3OD7pebm4v6+nocOXJEenpUWVlp7NOxY0cAQO/evY317du3R7t27bB3797Q3kyMsXFEjU8sh2hIc8NY4onEHGzCPEcexZzr57g/XdonxWOuO1pn/rn5LNMVifOViLnVrOEwYhiNGE3k8/ptt/PWa8Jyc4XTtESKbh7PGldlN9eMbslZp1nfpA2/99SxPLplnqNwcqZFI5+aGHek2M62ZH9eJQpTHunS77D55CGjyLVv3x7t27c/5XaFhYU4cuQIysvLkZ+fDwBYt24dNE1DQUFB0H3y8/ORnJyM0tJSjBo1CgCwa9cu7N27F4WFhQCACy+80Fh++umnAzgxZcD333+PLl26RPz+oondakRERHFgHUAQTomFXr16YejQoZgwYQI2b96MDz/8EJMnT8bo0aONkWr79+9Hz549sXnzZgBAVlYWxo8fj2nTpuGdd95BeXk5xo0bh8LCQgwePBgAcPbZZ2P48OGYMmUKNmzYgO3bt+PGG29Ez549cfnll8fkvYSLjSMiIqI4iFbMUSy8+OKL6NmzJ4YMGYKrr74aF110EZ577jljvdfrxa5du1BTU2Mse/LJJ3HNNddg1KhRuOSSS5Cbm4tVq1ZJx33++edRUFCAYcOG4dJLL0VycjLWrFmD5GR59Gu8sVuNmg5LH5SuuPtjs6YTMfe3pBlxGPJ9kleX/6QUCN1lfjHliLyf310PFLx1XvMYwjD9+lqvtF1SkpiSwzxvba154iRVfj8+3dxHHMKvWfuChHQYen2du4oLnLrRdGEuA3E7xSP/LsR1SeEMzAkyvYBxLpfdZU1eE0vVQaFp06YNli9fbru+a9euAelL0tLSUFJSgpKSEtv9MjMzsWjRIixatChqdY0FNo6IiIjioKEDssk9No6IiIjiQNN0aBH0jUWyLznjs1IiIiIiAZ8cUeIQY3ykIfWK/XbinZM1LkL8WYifUKzxJp7QY0wChrcb1bHEKSnB7+zq5RAh6S35hHgavyWfiCb8rHvMOljvIFWhenW1ZkBTiwzzvVrr6hHq6lfNrwZrChFdSBsiDt+3Dt13O5JGE6YhUIU4KnG5NebIbpqAcFN8uJ0awHYovvW8YXymbFmPrdrc07rdzkKKt3K5j3xe4RrZxO/990Tm61jGMFn7mhJ4ugN2qyUuNo6IiIjigI2jxMXGERERURxoui5NzBrO/hQbjDkiIiIiEvDJESUOpzijWBLPJbzWVUvciJi2QYif0IR7DN0Sx+PXPMJrc12y5S/P6xVShgjnUS0xHGKaEFWIOfJagpjEuKXkFLMOYkiJzy/fG/k04X0IG6q+emk7xWv+rKRnwI4YF6T5hFgpl7FIfmEfj8v7OOuxxXgat+eVYnCcYofEGB/LdlKKD/ngwv6W9DSwif2Jxt9CvP62wuE2hqkJ0LXAFEGh7k+xwcYRERFRHOjQAyZSDHV/io24dqvNmTMH5513Hlq1aoUOHTpgxIgR2LVrl7RNbW0tJk2ahLZt26Jly5YYNWoUKisr41RjIiIiauri2jh67733MGnSJGzcuBFr166F1+vFVVddhWPHjhnbTJ06FatXr8bKlSvx3nvv4cCBAxg5cmQca00xoyhmiTYhGZGuKlIxhozo+okhxv8tiq5LRVOTjKIrqll0xSiKokvFq6lGURUYxSk/Un29ZpS6Wq9UFFUxiubXjOLwduH360aprzeLVbLqN8qJzqCTxUL8PZ3sFwjyfF/zaULxG8WTpEpF8+tGsf31/XeyvKDFxf5EiUjXTvTOhlvYrRY7ce1WW7NmjfTz0qVL0aFDB5SXl+OSSy5BVVUVFi1ahOXLl+OKK64AACxZsgS9evXCxo0bjUy/REREjY2uR9itxtFqMZNQo9WqqqoAnEh4BwDl5eXwer0oKioytunZsyc6d+6MsrKyoMeoq6tDdXW1VIiIiIjcSpjGkaZpuOOOO3DhhReib9++AICKigqkpKQgOztb2jYnJwcVFRVBjzNnzhxkZWUZpVOnTrGuOhERUcis3evhFIqNhBmtNmnSJGzfvh0ffPBBRMeZMWMGpk2bZvxcXV3NBlJT5pSSQLVJM+JwjIDh+wJFGBmiC7E4erC4nP8Sh++LoUHWWAE5c4p5Hm+dnLrDWycM2U8103gkWeYG8AnD6MXjJSWlGK/rLRk4TsQandxHGMqvWXKdSMPC7e+vxCHx0rB+a6oTITWInDJEDbockNOMqB776y8O3w8rtYjLfazdGw01AF2aMiCWQ/QDPrAJc1/dqOma7nqKCbv9KTYSonE0efJkvP7661i/fj1OP/10Y3lubi7q6+tx5MgR6elRZWUlcnNzgx4rNTUVqampsa4yERERNVFxbf7ruo7Jkyfj1Vdfxbp169CtWzdpfX5+PpKTk1FaWmos27VrF/bu3YvCwsKGri4REVHUiANlwy0UG3F9cjRp0iQsX74cf//739GqVSsjjigrKwvp6enIysrC+PHjMW3aNLRp0waZmZm47bbbUFhYyJFqRETUqJ2cjiKS/Sk24to4euaZZwAAl112mbR8yZIluOmmmwAATz75JFRVxahRo1BXV4fi4mL88Y9/bOCaUkIR4x2cJvqwSUOgWFNMOKWIELdzEUmi6daUEEJsksvvsR+PHDdeJ6fKf6LinEb1x800Hhmt0m2PJ6YSkb9M5fejKuZ2fsU8r+q3xhwFv+ZaXb1lM/NcPiF2yhonIcYP+WqFGCu/JShK2sd8rcQyxYTK2JqE5RRv2EhwKH/iimvjyM0vNi0tDSUlJSgpKWmAGhEREVFzlxAB2URERM0NE88mLjaOqPGJ8BtBd+qGEZ5mapZh/dJQfuExvtgdpevysX1+YZi67jDk3OYhal2t3KXlEbqgxG41cej+iTqZ5/IJ10vsqbKeM0kRurTE0frWYeq1ZrefLowM9R2vC/IOAumWdCe6fe+ZsI39U2an4cziOjHTfVjD+unUrL+LWHZ5NgGarkOLoGsskn3JWePsqCUiIiKKET45IiIiigMGZCcuNo6IiIjigEP5ExcbR5Q4pLQULmMVwhjCGzCUPyn4uRRLbJOmCCkrhEAZcbi+3xJXJMYgiW/P+p0mxg7U18spQ0R+Mb2GEM9RVyPH+6hC6g2/MDxeTlMi1zVJEVJ8wHyvmsfyNeET4qA04TpY4njEeB/NZ64T04IAgF/IYyLGFkn7W2KOhJH8URnKzzQMRCRi44iIiCgOIp3lmr1qscPGERERURzoeoSJZ9k6ihmOViMiIiIS8MkRNW5OKQTsYlEssUS6TdySbp3nyGZ+JTHmSFHkOzkxVEaKObIcyuczV3qEmJzjx+RYIkUIGvLWmbE/LbNaSNvVHDX3y2iZimDqffL1UWBWSoypss5zBDHdSl2t8VKzzLXkFeZhEmOGPEny9fYdF2KiPEL8ltd+LqJGFSMk/rJVd6lq4kWMG1NimTrF+rfUSNN/REqPcJ4jPjmKHTaOiIiI4kDXIuxWa0w3CY0MG0dERERxwMZR4mqezzKJiIiIbPDJEZENu1gkAPAr5p+OmFvNq1nilISwHk2a58hdPjAxrggAvPXmz6oQU2WND6kX5g5KE3KZpaSY+6iKfR3EOZ0Uv1wHKT7E7yIxGuR4JOvEdW7ufsX5nQA5bknc3+2ddNjxNI0pxkOKdeJ9cCLS9MA5z0Ldn2KDjSMiIqI4YLda4uLtBBEREZGAT46o+bEOIxaGV9sN1w84hNBfpunu7jGE3q2A3iifMGxd7HLzWFJteOvM4fGqx35YuNiNVSelDzHrnZYi33WKKUNEimaprHC9dOGN+C1pT7zCEH01ydzHV2cZ8i/UL7VVinnsWqG7zCvXVRzyHw5rqhPF4VraH8OsU4OORI+0u8zaNeg2VQ9FHRPPJi42joiIiOJA0yJLHmudL42ih91qRERERAI+OSIiIooDdqslLjaOKHHYxT44xUiIwR7WdCHi42qnmBIhzkj3JJuHdog/sovP0XW5Dj6/u3gOn888lzhs3WuJ40nNSDNeH68+Zp7X8nxd3K9Nh1bG65rj5rGTHS6JTxWug69eXllfi2A8KfLXiVwn8/ckpgux0mxShijJ9tdRTE2iWr7RFOEzYb1GRPHG0WqJi91qREREJDl06BDGjh2LzMxMZGdnY/z48Th69KjjPrW1tZg0aRLatm2Lli1bYtSoUaisrJS2+eijjzBkyBBkZ2ejdevWKC4uxr///e9YvpWwsHFEREQUByefHEVSYmXs2LHYsWMH1q5di9dffx3r16/HxIkTHfeZOnUqVq9ejZUrV+K9997DgQMHMHLkSGP90aNHMXToUHTu3BmbNm3CBx98gFatWqG4uBher9fhyA2P3WpERERxoEF3nC3fzf6xsHPnTqxZswYfffQRzj33XADAwoULcfXVV+Pxxx9HXl5ewD5VVVVYtGgRli9fjiuuuAIAsGTJEvTq1QsbN27E4MGD8fnnn+PQoUN48MEH0alTJwDA7Nmz0b9/f3zzzTc466yzYvJ+wsHGESUO8UtCiiuK8jwsLiel0YS4GwBQhC8iHcHrZP2e07TQY45EdcfrpJ8zMjOM19XCnEfJqXJdjx8144J8wpxHqSnme7dk5ECSIqQmEeOtrNc/WZiLSJjnyFcr3/np/uDzAHlS5OuvV5nb+dXQ44LEWCJrXBFjMmJE+nzEsAPC+vuzxhU2ctGKOaqurpaWp6amIjU1NezjlpWVITs722gYAUBRURFUVcWmTZvwP//zPwH7lJeXw+v1oqioyFjWs2dPdO7cGWVlZRg8eDB69OiBtm3bYtGiRbj33nvh9/uxaNEi9OrVC127dg27vrHAbjUiIqJGrFOnTsjKyjLKnDlzIjpeRUUFOnToIC1LSkpCmzZtUFFRYbtPSkoKsrOzpeU5OTnGPq1atcK7776LF154Aenp6WjZsiXWrFmDt956C0lJifWsho0jIiKiODg5lD+SAgD79u1DVVWVUWbMmBH0fPfccw8URXEsn3/+ecze7/HjxzF+/HhceOGF2LhxIz788EP07dsXw4YNw/Hjx2N23nAkVlONKFakYfnyGHbdOv77vxRd7nfyq+nCEczh6LV6GuyIT8zFLjefzz4zvThjbsAQ/Tqz6yq1hVmfulp5uH2SME7/+DEh5YjawnitKJb0IUIaFI9mnkec3gAA9Dqzy04XgijFFCEAoAp18B63D7YUh+lrYQy3d+qWUGy6YVx3ZQTUJ/Q0I3bnVdweiuk+mixd0yOaIfvk5ykzMxOZmZmn3P7OO+/ETTfd5LjNGWecgdzcXBw8eFBa7vP5cOjQIeTm5gbdLzc3F/X19Thy5Ij09KiystLYZ/ny5fj6669RVlYG9b+pb5YvX47WrVvj73//O0aPHn3K99BQ2DgiIiJqBtq3b4/27dufcrvCwkIcOXIE5eXlyM/PBwCsW7cOmqahoKAg6D75+flITk5GaWkpRo0aBQDYtWsX9u7di8LCQgBATU0NVFWVcjye/DmcG6NYYrcaERFRHCTqUP5evXph6NChmDBhAjZv3owPP/wQkydPxujRo42Ravv370fPnj2xefNmAEBWVhbGjx+PadOm4Z133kF5eTnGjRuHwsJCDB48GABw5ZVX4vDhw5g0aRJ27tyJHTt2YNy4cUhKSsLll18ek/cSLjaOiIiI4iBaMUex8OKLL6Jnz54YMmQIrr76alx00UV47rnnjPVerxe7du1CTU2NsezJJ5/ENddcg1GjRuGSSy5Bbm4uVq1aZazv2bMnVq9ejW3btqGwsBAXX3wxDhw4gDVr1qBjx44xey/hYLcaNQ/icGPL0GMxTYjmEYapW+4dVM2MQRLTh2hiagzNso/NjARer/2XmirsVF8rD+VPSTeH5yanmnWtq7EM+W9lDvn3C0Pqk6U0HHIdxKkK/A7pQ5Rkc53uNWOvNJ9lbgBxHzGNh2Uz/3Hz+nvSzeunC9fIKX2IKCp30lLamcgPZysgPU0sTxYn4rVsYsPwm7o2bdpg+fLltuu7du0a0DhLS0tDSUkJSkpKbPe78sorceWVV0atnrHCxhEREVEc6JoWUc4/5guMHTaOiIiI4kCLcLRaJPuSM8YcEREREQn45IgaNyFuQ1eSHTYMg2U+GV2IVRLjc8T5gayk8BVhs7o6OfBGTB8izWWUkS5tVy+kExFjjqyxSf4MMzYpKSl4/ZJU+a7TL3wd2KVHASC/KZeP9TUhV4nmt7/b1W1isU7OiWJs5xfnghLTlIQX16KL8T/xio0R57eCWR9FdXcPa43/UDgfUsKLNKg6lgHZzR0bR0RERHEQrdxqFH1sHBEREcUBG0eJi40jajIUy9Bo3SMMjQ4YNi2sUt0NoZaG/AvhemIXVL1PPlZKkvnl9WONfTeHX+hWE9Nw1B6tkbbLat9a2Mdvu11GqxYIJiXJrENasty1V6uZXXEtlSpzhbV7RriuvhozH5K1Sysp1dyu5nv7Yf6qUCdxyL6v2tzHkxreMHfxPw/5tUN3oMNQfnE/xeNQJ/H4TtslMOm9uuzaI2oq2DgiIiKKAw0aNIcbNzf7U2ywcURERBQHuhZZ11gE7So6BT4rJSIiIhLwyREljnCGHgvD63VLWhA5dsSM+9CdhmpbjyEeTohNEofyiylDFMUyPF4zz1UnZOHweOQ6+IT4IXkof5p8PJsUHdZh27U1tcZrcbivkPkDqqWuui5kyoZ5HkWznFMPHh9lvQP2e83t/PXm6+QW9l87YpyRlFakgyXli3D9xPNY6xDu0P6QWWOYEi3OSKyfNX5IHA7O4f8NigHZiYuNIyIiojjgPEeJi91qRERERAI+OSIiIooDTdOgRZA8NpJ9yRkbR5SY3MZBiMM1rOlDXMabiLFKmsf8k1B0OdbG70lBMGL6EL9uSTki/CyGB/h89o/D64R4oaQU+T3ZPUa3LhfTiaSmmccQQoSQpMpfrGLdvR5zziOl7ri0nVNcVqTEOCP5lJbrKqQPEedJsqYmYUxGIyH9HTefDg3GHCWu5vMpJCIiInKBT46IiIjiQNc1OelxGPtTbLBxREREFAfsVktcbBxR4ybEJyiaT1qlC3EzUkyDJZeaOI+PmGdNV+znqhFzq4kxR0mq/GV11GfGw4hhQX6/fMfn85p1UIU5csT4IwBIa5luvBbnQ/Ikh/6nrCqWOmjmMZI0YVImv31eNE2Yd0mzzMGkinMR1ZnrktIs11/IpybGHCVl2s+hJIrKfxA2x7DGcomRT3LusTjNa+Q0f1FDaabxQlERYePI7nNLkeMnmYiIiEjAJ0dERERxoOkRJp5lzFHMsHFEiUkcvm99VC91kQndVk7biWlGrF0g4rmEbhTr8TShm00coi8Ogdc0eci5mKJD3Kf2uNwFqAhdIl4hz0hKeqq0nd9r7qcJ3V0eS7oKn7BdckroXT4B11KqhNB9Jlwvb029tJknJfSvF80rXC/htds0IJ5kud6623lgxM+R2F2GyLvLxK45JucgEWOOEhe71YiIiIgEfHJEREQUB7quuX+6abM/xQYbR0RERHHAbrXExcYRNWqOsTEihxQk0jGE7QJikwR+4U9Hhxh/ZNlOiEHyCyvrauWYI3EYvBhndKzqqLRdZpss47UYV1RXI6f48CSbKUMyMszXTkm8k1TzeH5F+GpIkr8mdK+ZmkS8601Kk1Od+OqE+CghXYqv1n5qADU5+O9J8cjL/T7Ndp0bAf+pNKb/ZNym1iGisLFxREREFAecITtxsXFEREQUB5oGaBE8tYwgXIlOgaPViIiIiAR8ckSJL9qPjq2BNzbzHKl+r7SZOM+RCjNuRkHwuYwAIDVZiDOqN1+npsl/erXH5TmCjONZbg2Tks06iDFHfkvqjqTUFPO8QnyTopjL6/1yHZKEdCKp/hrjtZaaIW2n2sRiWec1EuOoPOlCuhXLe1Jt0l6IcUq6NZjLhjWWSPw5GsGr4jEcssvY0+zT2ESbNL9ShLFJ1s+hEk6qEvH6u5y3Kpai8p6iUIeIRqvx0VHMsHFEREQUBxytlrjYOCIiIooDBmQnrkbROCopKcEf/vAHVFRUYMCAAVi4cCHOP//8eFeLYkns+rJ2PwhfCIrwOmBYv3hXJaTxUCxfKIrmt10n8mhmN5viMY+X4jG7rZJU+U7OLxwuLc2+K0F8pC+mAsnIbCltd/xYbdD9U9LTpJ9rj9YE3U5cfKxOHnqfkWR27YnTE3hbtpG2S63cZ7xWhSkDrN1q4l2tR+wOrLGkTskwz6UIQ/nF9CFW/nqhyy7JXXeI2AUR2P0WfF1A14uYpkV36LITPgd2v3XrPooqnktIVZMA3T8JzyZV0Il1nPqAQpfwf2Uvv/wypk2bhtmzZ2PLli0YMGAAiouLcfDgwXhXjYiIKGwnu9UiKRQbCd84mjdvHiZMmIBx48ahd+/eePbZZ5GRkYHFixfHu2pERERhOxmQHUmh2EjobrX6+nqUl5djxowZxjJVVVFUVISysrKg+9TV1aGuzpzBt6qqCgDwY03w7ghKIDajxpy61SB0cwTOlq0G384n321pyebx/PXC6yR5BFitz/xzOSbU6ZiwWc1R+cuqzm++p9oa83Vd7TFpu/pa8zPrrf9ReC13QYl8XmFEmWW0ms9rft7rjlcLdTCPV3NU3ueYbtbpR9WcmdtfI9c1Vfhbqqs1u+KO1suj+44Ko+mO+c1z+TTLyDrhGtXo5jpxtFWyX95HETqr6n3ma80rXy9x8myP8HFIsoyWShK3E5arlm5WVRg1pySZW0rdbQAUoatPXCeNGrN8XhWxTh77kWxSt5p4PIfuNum8TiPFXHY72XftubzfdqyDwzHcjHJz2t/h/Z18Tz8eP/H51p2mk48Sv+/YqTeK4f5kL6EbR99//z38fj9ycnKk5Tk5Ofj888+D7jNnzhw88MADAcvPGj8zJnUkSnSb3453DaLg3/GuADU3P/74I7Kysk69YRhSUlKQm5uLj0uvi/hYubm5SElJOfWGFJKEbhyFY8aMGZg2bZrxs6ZpOHToENq2bRvxXB+xVl1djU6dOmHfvn3IzMyMd3UaDV638PC6hYfXLXyN4drpuo4ff/wReXl5MTtHWloa9uzZg/r64PObhSIlJQVpaWmn3pBCktCNo3bt2sHj8aCyslJaXllZidzc3KD7pKamIjU1VVqWnZ0dqyrGRGZmZsJ+cSQyXrfw8LqFh9ctfIl+7WL1xEiUlpbGRk0CS+iA7JSUFOTn56O0tNRYpmkaSktLUVhYGMeaERERUVOV0E+OAGDatGm48cYbce655+L888/H/PnzcezYMYwbNy7eVSMiIqImKOEbR9dffz2+++47zJo1CxUVFRg4cCDWrFkTEKTdFKSmpmL27NkB3YLkjNctPLxu4eF1Cx+vHTUWit4Q4xWJiIiIGomEjjkiIiIiamhsHBEREREJ2DgiIiIiErBxRERERCRg4ygOvv76a4wfPx7dunVDeno6zjzzTMyePTtgttRt27bh4osvRlpaGjp16oS5c+cGHGvlypXo2bMn0tLS0K9fP7z55psN9Tbi4pFHHsEFF1yAjIwM28k99+7di2HDhiEjIwMdOnTA9OnT4fPJObfeffddDBo0CKmpqTjrrLOwdOnS2Fc+wZSUlKBr165IS0tDQUEBNm/eHO8qxdX69evx05/+FHl5eVAUBa+99pq0Xtd1zJo1Cx07dkR6ejqKioqwe/duaZtDhw5h7NixyMzMRHZ2NsaPH4+jR4+iqZozZw7OO+88tGrVCh06dMCIESOwa9cuaZva2lpMmjQJbdu2RcuWLTFq1KiAiX3d/M0SNSQ2juLg888/h6Zp+NOf/oQdO3bgySefxLPPPot7773X2Ka6uhpXXXUVunTpgvLycvzhD3/A/fffj+eee87YZsOGDRgzZgzGjx+PrVu3YsSIERgxYgS2b98ej7fVIOrr63Httdfi1ltvDbre7/dj2LBhqK+vx4YNG7Bs2TIsXboUs2bNMrbZs2cPhg0bhssvvxyffPIJ7rjjDvz617/G2283hSRk7rz88suYNm0aZs+ejS1btmDAgAEoLi7GwYMH4121uDl27BgGDBiAkpKSoOvnzp2LBQsW4Nlnn8WmTZvQokULFBcXo7bWTMQ7duxY7NixA2vXrsXrr7+O9evXY+LEiQ31Fhrce++9h0mTJmHjxo1Yu3YtvF4vrrrqKhw7ZiZEnTp1KlavXo2VK1fivffew4EDBzBy5EhjvZu/WaIGp1NCmDt3rt6tWzfj5z/+8Y9669at9bq6OmPZ3Xffrffo0cP4+brrrtOHDRsmHaegoEC/5ZZbYl/hOFuyZImelZUVsPzNN9/UVVXVKyoqjGXPPPOMnpmZaVzLu+66S+/Tp4+03/XXX68XFxfHtM6J5Pzzz9cnTZpk/Oz3+/W8vDx9zpw5caxV4gCgv/rqq8bPmqbpubm5+h/+8Adj2ZEjR/TU1FT9pZde0nVd1z/77DMdgP7RRx8Z27z11lu6oij6/v37G6zu8XTw4EEdgP7ee+/pun7iGiUnJ+srV640ttm5c6cOQC8rK9N13d3fLFFD45OjBFFVVYU2bdoYP5eVleGSSy6Rsi0XFxdj165dOHz4sLFNUVGRdJzi4mKUlZU1TKUTUFlZGfr16ydNElpcXIzq6mrs2LHD2KY5X7f6+nqUl5dL10BVVRQVFTWbaxCqPXv2oKKiQrpmWVlZKCgoMK5ZWVkZsrOzce655xrbFBUVQVVVbNq0qcHrHA9VVVUAYHyXlZeXw+v1StetZ8+e6Ny5s3TdTvU3S9TQ2DhKAF9++SUWLlyIW265xVhWUVERMAv4yZ8rKioctzm5vjmK5LpVV1fj+PHjDVPROPr+++/h9/v52QnByevidM0qKirQoUMHaX1SUhLatGnTLK6rpmm44447cOGFF6Jv374ATlyTlJSUgPhA63U71d8sUUNj4yiK7rnnHiiK4lg+//xzaZ/9+/dj6NChuPbaazFhwoQ41Ty+wrluRJRYJk2ahO3bt2PFihXxrgpRxBI+t1pjcuedd+Kmm25y3OaMM84wXh84cACXX345LrjgAinQGgByc3MDRnSc/Dk3N9dxm5PrG4tQr5uT3NzcgFFXbq9bZmYm0tPTXda68WrXrh08Hk+T+Ow0lJPXpbKyEh07djSWV1ZWYuDAgcY21oB2n8+HQ4cONfnrOnnyZCMA/fTTTzeW5+bmor6+HkeOHJGeHomfNTd/s0QNjU+Ooqh9+/bo2bOnYzkZQ7R//35cdtllyM/Px5IlS6Cq8q+isLAQ69evh9frNZatXbsWPXr0QOvWrY1tSktLpf3Wrl2LwsLCGL/T6Arlup1KYWEhPv30U+k/qbVr1yIzMxO9e/c2tmkK1y1cKSkpyM/Pl66BpmkoLS1tNtcgVN26dUNubq50zaqrq7Fp0ybjmhUWFuLIkSMoLy83tlm3bh00TUNBQUGD17kh6LqOyZMn49VXX8W6devQrVs3aX1+fj6Sk5Ol67Zr1y7s3btXum6n+pslanDxjghvjv7zn//oZ511lj5kyBD9P//5j/7tt98a5aQjR47oOTk5+q9+9St9+/bt+ooVK/SMjAz9T3/6k7HNhx9+qCclJemPP/64vnPnTn327Nl6cnKy/umnn8bjbTWIb775Rt+6dav+wAMP6C1bttS3bt2qb926Vf/xxx91Xdd1n8+n9+3bV7/qqqv0Tz75RF+zZo3evn17fcaMGcYxvvrqKz0jI0OfPn26vnPnTr2kpET3eDz6mjVr4vW2GtyKFSv01NRUfenSpfpnn32mT5w4Uc/OzpZGDDU3P/74o/F5AqDPmzdP37p1q/7NN9/ouq7rjz76qJ6dna3//e9/17dt26YPHz5c79atm378+HHjGEOHDtXPOeccfdOmTfoHH3ygd+/eXR8zZky83lLM3XrrrXpWVpb+7rvvSt9jNTU1xja/+c1v9M6dO+vr1q3TP/74Y72wsFAvLCw01rv5myVqaGwcxcGSJUt0AEGL6N///rd+0UUX6ampqfppp52mP/roowHH+utf/6qfffbZekpKit6nTx/9jTfeaKi3ERc33nhj0Ov2zjvvGNt8/fXX+k9+8hM9PT1db9eunX7nnXfqXq9XOs4777yjDxw4UE9JSdHPOOMMfcmSJQ37RhLAwoUL9c6dO+spKSn6+eefr2/cuDHeVYqrd955J+hn68Ybb9R1/cRw/pkzZ+o5OTl6amqqPmTIEH3Xrl3SMX744Qd9zJgxesuWLfXMzEx93LhxRsO9KbL7HhP/no4fP67/7//+r966dWs9IyND/5//+R/pRlDX3f3NEjUkRdd1vQEfVBERERElNMYcEREREQnYOCIiIiISsHFEREREJGDjiIiIiEjAxhERERGRgI0jIiIiIgEbR0REREQCNo6IiIiIBGwcEREREQnYOCIiIiISsHFE1Az88MMP6NChA77++uuoHXP06NF44oknonY8IqJEwdxqRM3AtGnT8OOPP+LPf/5z1I65fft2XHLJJdizZw+ysrKidlwionjjkyOiJq6mpgaLFi3C+PHjo3rcvn374swzz8QLL7wQ1eMSEcUbG0dEjczw4cOhKErQ8o9//CNg+zfffBOpqakYPHiwtPyyyy7D5MmTMXnyZGRlZaFdu3aYOXMmTj5MfuWVV9CvXz+kp6ejbdu2KCoqwrFjx6Rj/PSnP8WKFSti92aJiOKAjSOiRmbx4sX49ttvsXv3bgAnGj/ffvstvv32W1x99dUB27///vvIz88Peqxly5YhKSkJmzdvxlNPPYV58+bhL3/5C7799luMGTMGN998M3bu3Il3330XI0eOhLUX/vzzz8fmzZtRV1cX/TdKRBQnSfGuABGFpm3btgCAsrIyKIqCiy++GC1btrTd/ptvvkFeXl7QdZ06dcKTTz4JRVHQo0cPfPrpp3jyySeRn58Pn8+HkSNHokuXLgCAfv36Beyfl5eH+vp6VFRUGNsRETV2fHJE1Eht27YNXbt2dWwYAcDx48eRlpYWdN3gwYOhKIrxc2FhIXbv3o0BAwZgyJAh6NevH6699lr8+c9/xuHDhwP2T09PB3AiromIqKlg44iokdq2bRv69+9/yu3atWsXtGFzKmvXrsVbb72F3r17Y+HChejRowf27NkjbXPo0CEAQPv27UM+PhFRomLjiKiR+vrrr9GjR49TbnfOOefgs88+C7pu06ZN0s8bN25E9+7d4fF4oCgKLrzwQjzwwAPYunUrUlJS8Oqrr0rbb9++HaeffjratWsX/hshIkowbBwRNVKapuGbb77B/v37AwKlRcXFxdixY0fQp0d79+7FtGnTsGvXLrz00ktYuHAhpkyZgk2bNuH3v/89Pv74Y+zduxerVq3Cd999h169ekn7v//++7jqqqui/t6IiOKJk0ASNVJvvfUWJk6ciMOHD6O6uhqqan+vU1BQgJtvvhm33HKLseyyyy5Dnz59oGkali9fDo/Hg1tvvRUPP/wwPv/8c0ydOhVbtmxBdXU1unTpgttuuw2TJ0829q+trUVubi7WrFkTME0AEVFjxsYRUTPwxhtvYPr06di+fbvRiLrsssswcOBAzJ8/P6xjPvPMM3j11Vfxz3/+M4o1JSKKPw7lJ2oGhg0bht27d2P//v3o1KlTVI6ZnJyMhQsXRuVYRESJhI0jombijjvuiOrxfv3rX0f1eEREiYLdakREREQCjlYjIiIiErBxRERERCRg44iIiIhIwMYRERERkYCNIyIiIiIBG0dEREREAjaOiIiIiARsHBEREREJ2DgiIiIiErBxRERERCT4//7D7yzimoeQAAAAAElFTkSuQmCC\n"
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "fig = plot_wakedata(filename=\"save.hdf5\",bunch_number=0, wake_type=\"Wlong\", start=0,\n",
+        "                     stop=None, step=None, profile_plot=False, streak_plot=True,\n",
+        "                     bunch_profile=True, dipole=False)"
+      ],
+      "metadata": {
+        "colab": {
+          "base_uri": "https://localhost:8080/",
+          "height": 469
+        },
+        "id": "HU-652g0-EE7",
+        "outputId": "70178f29-a990-4819-81af-d6c0b2a7ea5b"
+      },
+      "execution_count": 65,
+      "outputs": [
+        {
+          "output_type": "display_data",
+          "data": {
+            "text/plain": [
+              "<Figure size 640x480 with 2 Axes>"
+            ],
+            "image/png": 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\n"
+          },
+          "metadata": {}
+        }
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "## LongRangeResistiveWall class"
+      ],
+      "metadata": {
+        "id": "W5teYcv-Bhve"
+      }
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The `LongRangeResistiveWall` class is used to deal with multi-bunch and multi-turn wakes from resistive wall using the algorithm defined in [1].\n",
+        "    \n",
+        "The main approximations done in this class:\n",
+        " * Bunches are treated as point charge.\n",
+        " * Assymptotic expression for the resistive wall wake functions are used.\n",
+        " * Multi-turn wakes are limited to `nt` turns.\n",
+        "\n",
+        "**Self-bunch interaction is not included in this class and should be dealed with the WakePotential class!**"
+      ],
+      "metadata": {
+        "id": "N8Ak1omsJs2I"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "from mbtrack2 import LongRangeResistiveWall"
+      ],
+      "metadata": {
+        "id": "VRrOdaWVBJcB"
+      },
+      "execution_count": 66,
+      "outputs": []
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "length = 1 # Length of the resistive pipe to consider in [m].\n",
+        "rho = 1e-6 # Effective resistivity to consider in [ohm.m] as in [1].\n",
+        "radius = 10e-3 # Beam pipe radius to consider in [m].\n",
+        "types=[\"Wlong\",\"Wxdip\",\"Wydip\"] # Wake types to consider. \n",
+        "nt=50 # Number of turns to consider for the long range wakes.\n",
+        "x3=None # Horizontal effective radius of the 3rd power in [m], as Eq.27 in [1]. The default is radius.\n",
+        "y3=None # Vertical effective radius of the 3rd power in [m], as Eq.27 in [1]. The default is radius."
+      ],
+      "metadata": {
+        "id": "n3Xkq6WkbAUl"
+      },
+      "execution_count": 67,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The effective resistivity and radius, taking into account the betatron function averaging, as defined in [1] can be computed using the `PhysicalModel` class. "
+      ],
+      "metadata": {
+        "id": "xbj2GR6Q8kb-"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "lrrw = LongRangeResistiveWall(ring=ring, beam=mybeam, length=length, rho=rho, radius=radius, types=types, nt=nt, x3=x3, y3=y3)"
+      ],
+      "metadata": {
+        "id": "SFYyHmhT4U70"
+      },
+      "execution_count": 68,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "The `LongRangeResistiveWall` class can only be used with `Beam` objects and not with `Bunch` objects."
+      ],
+      "metadata": {
+        "id": "2vYpYyEExHuy"
+      }
+    },
+    {
+      "cell_type": "code",
+      "source": [
+        "turns = 100\n",
+        "for i in range(turns):\n",
+        "  LongMap.track(mybeam)\n",
+        "  SR.track(mybeam)\n",
+        "  TransMap.track(mybeam)\n",
+        "  RF.track(mybeam)\n",
+        "\n",
+        "  # collective effects part\n",
+        "  wp.track(mybeam) # single bunch wake\n",
+        "  lrrw.track(mybeam) # multi-bunch and multi-turn wake"
+      ],
+      "metadata": {
+        "id": "og4vC8Bj5F0U"
+      },
+      "execution_count": 69,
+      "outputs": []
+    },
+    {
+      "cell_type": "markdown",
+      "source": [
+        "To model correctly the physics of the resistive wall, both the WakePotential (taking into account the resisitive wall wake function and possibly the broad band impedance) and the LongRangeResistiveWall are needed.\n",
+        "\n",
+        "\n",
+        "\n"
+      ],
+      "metadata": {
+        "id": "f70jOVr-6L2j"
+      }
+    }
+  ],
+  "metadata": {
+    "colab": {
+      "provenance": [],
+      "toc_visible": true,
+      "include_colab_link": true
+    },
+    "kernelspec": {
+      "display_name": "Python 3",
+      "name": "python3"
+    },
+    "language_info": {
+      "name": "python"
+    }
+  },
+  "nbformat": 4,
+  "nbformat_minor": 0
+}
\ No newline at end of file