{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "463b544f",
   "metadata": {},
   "source": [
    "# Forward Models\n",
    "\n",
    "A neural-mass model evolves *hidden* dynamics -- firing rates, synaptic gating, membrane\n",
    "potentials. None of those are what an experiment actually records. A **forward model** (or\n",
    "*observation model*) is the biophysical map from that hidden activity to a measurable\n",
    "neuroimaging signal:\n",
    "\n",
    "```text\n",
    "Neural-mass model  ->  Forward model  ->  Observable signal\n",
    "(hidden dynamics)      (biophysics)       (BOLD / EEG / MEG)\n",
    "```\n",
    "\n",
    "This is the bridge that turns a simulation into something you can compare against data --\n",
    "the prerequisite for the *fitting* and *training* tutorials that follow. In this notebook you\n",
    "will:\n",
    "\n",
    "1. build a small multi-region source with {class}`~brainmass.Network` and a bundled\n",
    "   connectome,\n",
    "2. map excitatory activity to **fMRI BOLD** two ways -- the convolution\n",
    "   {class}`~brainmass.HRFBold` and the Balloon--Windkessel {class}`~brainmass.BOLDSignal`,\n",
    "3. project a millisecond-scale cortical source to **EEG** and **MEG** sensors through\n",
    "   unit-aware lead-field operators, and\n",
    "4. read out and visualise each modality with {mod}`brainmass.viz`.\n",
    "\n",
    ":::{note}\n",
    "Every cell runs against the current API. The connectivity and lead-field matrices are small\n",
    "synthetic stand-ins so the page builds fast -- swap in your own structural connectome and\n",
    "BEM-derived lead fields for a real study.\n",
    ":::"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "b7bcf5f2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T07:04:40.382936Z",
     "iopub.status.busy": "2026-06-19T07:04:40.382658Z",
     "iopub.status.idle": "2026-06-19T07:04:45.514958Z",
     "shell.execute_reply": "2026-06-19T07:04:45.513929Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "An NVIDIA GPU may be present on this machine, but a CUDA-enabled jaxlib is not installed. Falling back to cpu.\n"
     ]
    }
   ],
   "source": [
    "import brainmass\n",
    "import brainstate\n",
    "import braintools\n",
    "import brainunit as u\n",
    "import jax.numpy as jnp\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# A delay-coupled Network sizes its delay buffer from the global dt at construction,\n",
    "# so set dt once here, before building any Network.\n",
    "brainstate.environ.set(dt=1.0 * u.ms)\n",
    "brainstate.random.seed(0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b431fcb3",
   "metadata": {},
   "source": [
    "## A multi-region source\n",
    "\n",
    "BOLD and EEG/MEG both observe the activity of *many* regions, so we first build a small\n",
    "whole-brain source. We load the bundled 8-region example connectome and wire it into a\n",
    "{class}`~brainmass.Network` of {class}`~brainmass.WilsonCowanStep` nodes. Per-region\n",
    "Ornstein--Uhlenbeck noise (`noise_E=...`) gives each region its own fluctuations -- without\n",
    "it a deterministic network collapses to one shared fixed point and the observed signals would\n",
    "be perfectly correlated (a degenerate functional connectivity)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f8441695",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T07:04:45.517566Z",
     "iopub.status.busy": "2026-06-19T07:04:45.517152Z",
     "iopub.status.idle": "2026-06-19T07:04:46.740017Z",
     "shell.execute_reply": "2026-06-19T07:04:46.738818Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "connectome: 8 regions, labels = [np.str_('R0'), np.str_('R1'), np.str_('R2'), np.str_('R3'), np.str_('R4'), np.str_('R5'), np.str_('R6'), np.str_('R7')]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "neural source: (5500, 8) | unit: 1\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "conn = brainmass.datasets.load_dataset('example_connectome')\n",
    "N = conn.weights.shape[0]\n",
    "labels = list(conn.labels)\n",
    "print(f\"connectome: {N} regions, labels = {labels}\")\n",
    "\n",
    "node = brainmass.WilsonCowanStep(\n",
    "    in_size=N,\n",
    "    noise_E=brainmass.OUProcess(N, sigma=0.4, tau=20.0 * u.ms),\n",
    ")\n",
    "net = brainmass.Network(\n",
    "    node,\n",
    "    conn=conn.weights,\n",
    "    distance=conn.distances,\n",
    "    speed=10.0 * u.mm / u.ms,\n",
    "    coupling='diffusive',\n",
    "    coupled_var='rE',\n",
    "    k=0.5,\n",
    ")\n",
    "\n",
    "# Run the source network; monitor each region's excitatory rate rE.\n",
    "src = brainmass.Simulator(net, dt=1.0 * u.ms).run(\n",
    "    6000.0 * u.ms,\n",
    "    monitors=lambda m: m.node.rE.value,\n",
    "    transient=500.0 * u.ms,\n",
    ")\n",
    "neural = src['output']          # (T, N) excitatory rate (dimensionless WilsonCowan rate)\n",
    "ts = src['ts']\n",
    "print(\"neural source:\", neural.shape, \"| unit:\", u.get_unit(neural))\n",
    "\n",
    "ax = brainmass.viz.plot_timeseries(neural[:, :4], ts=ts, labels=labels[:4])\n",
    "ax.set_title(\"Excitatory activity of the source network (first 4 regions)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bde2d99b",
   "metadata": {},
   "source": [
    "## BOLD: from neural activity to fMRI\n",
    "\n",
    "The fMRI BOLD signal is the **hemodynamic** response to neural activity -- slow (timescale of\n",
    "seconds) and lagged. brainmass ships two forward models; they trade speed and\n",
    "differentiability against biophysical detail.\n",
    "\n",
    "### Convolution BOLD ({class}`~brainmass.HRFBold`)\n",
    "\n",
    "`HRFBold` convolves the neural drive with a hemodynamic response function (HRF) kernel and\n",
    "downsamples to the fMRI repetition time (TR). It is a single linear convolution -- fast and\n",
    "**differentiable in its scalar parameters** -- which makes it the natural choice when BOLD is\n",
    "the target of a *fit*. Several closed-form kernels are available\n",
    "({class}`~brainmass.GammaHRFKernel`, {class}`~brainmass.DoubleExponentialHRFKernel`,\n",
    "{class}`~brainmass.MixtureOfGammasHRFKernel`, ...)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6d979902",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T07:04:46.742092Z",
     "iopub.status.busy": "2026-06-19T07:04:46.741833Z",
     "iopub.status.idle": "2026-06-19T07:04:47.861911Z",
     "shell.execute_reply": "2026-06-19T07:04:47.860876Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "HRFBold BOLD: (7, 8)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hrf = brainmass.HRFBold(\n",
    "    period=720.0 * u.ms,            # output TR (~0.72 s, a fast multiband protocol)\n",
    "    downsample_period=20.0 * u.ms,  # internal convolution step\n",
    "    kernel=brainmass.GammaHRFKernel(),\n",
    ")\n",
    "bold_conv = hrf(u.get_magnitude(neural), dt=1.0 * u.ms)   # (T_bold, N), dimensionless\n",
    "print(\"HRFBold BOLD:\", bold_conv.shape)\n",
    "\n",
    "ax = brainmass.viz.plot_timeseries(bold_conv[:, :4], labels=labels[:4])\n",
    "ax.set_xlabel(\"BOLD sample (TR)\")\n",
    "ax.set_title(\"Convolution BOLD (HRFBold + Gamma HRF)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2de8013e",
   "metadata": {},
   "source": [
    "### Balloon--Windkessel BOLD ({class}`~brainmass.BOLDSignal`)\n",
    "\n",
    "`BOLDSignal` integrates the four-state Balloon--Windkessel ODE (blood volume, flow,\n",
    "deoxyhemoglobin) -- the choice when biophysical realism matters. It is *dimensionless* and its\n",
    "RK2 integrator advances `t + dt`, so it needs a **unitless** `dt` in `environ` (a `Quantity`\n",
    "`dt` would raise on `ms + 1`). We therefore drive it with `dt = 0.01` while the neural stage\n",
    "used `1.0 * u.ms`; restore the time-unit `dt` afterwards."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "dcfe3078",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T07:04:47.863774Z",
     "iopub.status.busy": "2026-06-19T07:04:47.863613Z",
     "iopub.status.idle": "2026-06-19T07:04:48.214997Z",
     "shell.execute_reply": "2026-06-19T07:04:48.214215Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "BOLDSignal BOLD: (5500, 8)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x350 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "brainstate.environ.set(dt=0.01)            # dimensionless dt for the haemodynamic ODE\n",
    "bold_model = brainmass.BOLDSignal(in_size=N)\n",
    "bold_model.init_all_states()\n",
    "\n",
    "def bold_step(z):\n",
    "    bold_model.update(z)\n",
    "    return bold_model.bold()\n",
    "\n",
    "bold_balloon = brainstate.transform.for_loop(bold_step, u.get_magnitude(neural))  # (T, N)\n",
    "brainstate.environ.set(dt=1.0 * u.ms)      # restore the time-unit dt\n",
    "\n",
    "print(\"BOLDSignal BOLD:\", bold_balloon.shape)\n",
    "\n",
    "fig, axes = plt.subplots(1, 2, figsize=(11, 3.5))\n",
    "brainmass.viz.plot_timeseries(bold_conv[:, 0], ax=axes[0])\n",
    "axes[0].set_title(\"Convolution BOLD (region R0)\")\n",
    "axes[0].set_xlabel(\"TR\")\n",
    "brainmass.viz.plot_timeseries(bold_balloon[::50, 0], ax=axes[1])\n",
    "axes[1].set_title(\"Balloon-Windkessel BOLD (region R0)\")\n",
    "axes[1].set_xlabel(\"downsampled step\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6e9337dd",
   "metadata": {},
   "source": [
    "Both BOLD pipelines track the same slow envelope of the neural drive; they differ in their\n",
    "intrinsic hemodynamic latency, so compare BOLD waveforms over a small lag rather than at\n",
    "exact zero lag. Use `HRFBold` for fast, differentiable fitting and `BOLDSignal` when you need\n",
    "the full Balloon--Windkessel biophysics."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe91beaa",
   "metadata": {},
   "source": [
    "## EEG and MEG: lead-field forward models\n",
    "\n",
    "EEG and MEG are *instantaneous* linear projections of cortical dipole activity onto sensors.\n",
    "The **lead field** `L` is the gain matrix that maps each region's dipole moment to each\n",
    "sensor. brainmass provides unit-aware operators that carry the physics:\n",
    "\n",
    "- {class}`~brainmass.EEGLeadFieldModel` -- scalp potentials in **volts**,\n",
    "- {class}`~brainmass.MEGLeadFieldModel` / {class}`~brainmass.LeadFieldModel` -- magnetic\n",
    "  fields in **tesla**.\n",
    "\n",
    "We use a {class}`~brainmass.JansenRitStep` source whose pyramidal observable\n",
    "(`jr.eeg()`, the classic EEG correlate) is a millisecond-scale membrane potential in **mV** --\n",
    "exactly the kind of fast signal EEG/MEG record."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "6af6c257",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T07:04:48.217631Z",
     "iopub.status.busy": "2026-06-19T07:04:48.217359Z",
     "iopub.status.idle": "2026-06-19T07:04:48.480269Z",
     "shell.execute_reply": "2026-06-19T07:04:48.479526Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Jansen-Rit source: (3000, 4) | unit: mV\n",
      "EEG sensors: (3000, 6) | unit: V\n",
      "MEG sensors: (3000, 6) | unit: T\n"
     ]
    }
   ],
   "source": [
    "R, M = 4, 6   # 4 cortical sources, 6 sensors\n",
    "\n",
    "jr = brainmass.JansenRitStep(in_size=R)\n",
    "eeg_src = brainmass.Simulator(jr, dt=0.1 * u.ms).run(\n",
    "    400.0 * u.ms,\n",
    "    monitors=lambda m: m.eeg(),     # pyramidal observable, shape (T, R), in mV\n",
    "    transient=100.0 * u.ms,\n",
    ")['output']\n",
    "print(\"Jansen-Rit source:\", eeg_src.shape, \"| unit:\", u.get_unit(eeg_src))\n",
    "\n",
    "rng = np.random.RandomState(1)\n",
    "\n",
    "# EEG lead field: gain in volt / (nA*m); the helper assumes an mV source.\n",
    "L_eeg = jnp.asarray(rng.rand(R, M)) * (u.volt / (u.nA * u.meter))\n",
    "eeg_model = brainmass.EEGLeadFieldModel(in_size=(R,), out_size=(M,), L=L_eeg, sensor_unit=u.volt)\n",
    "eeg = eeg_model.update(eeg_src)     # (T, M) in volts\n",
    "\n",
    "# MEG lead field: gain in tesla / (nA*m). We use the base LeadFieldModel with an explicit\n",
    "# `scale` so the mV source is converted to a dipole moment before projection.\n",
    "L_meg = jnp.asarray(rng.rand(R, M)) * (u.tesla / (u.nA * u.meter))\n",
    "meg_model = brainmass.LeadFieldModel(\n",
    "    in_size=(R,), out_size=(M,), L=L_meg,\n",
    "    sensor_unit=u.tesla, dipole_unit=u.nA * u.meter, scale=u.nA * u.meter / u.mV,\n",
    ")\n",
    "meg = meg_model.update(eeg_src)     # (T, M) in tesla\n",
    "\n",
    "print(\"EEG sensors:\", eeg.shape, \"| unit:\", u.get_unit(eeg))\n",
    "print(\"MEG sensors:\", meg.shape, \"| unit:\", u.get_unit(meg))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "fe912312",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T07:04:48.481958Z",
     "iopub.status.busy": "2026-06-19T07:04:48.481818Z",
     "iopub.status.idle": "2026-06-19T07:04:48.669872Z",
     "shell.execute_reply": "2026-06-19T07:04:48.668931Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x350 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize=(11, 3.5))\n",
    "brainmass.viz.plot_timeseries(eeg[:, :3], ax=axes[0])\n",
    "axes[0].set_title(\"EEG sensors (V)\")\n",
    "brainmass.viz.plot_timeseries(meg[:, :3], ax=axes[1])\n",
    "axes[1].set_title(\"MEG sensors (T)\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b9e3de64",
   "metadata": {},
   "source": [
    "### Inspecting the spectrum\n",
    "\n",
    "A forward model preserves the temporal structure of its source. Estimating the power spectrum\n",
    "of one EEG channel confirms the signal carries the source's oscillatory content (the\n",
    "Jansen--Rit alpha rhythm). The Jansen--Rit stage used `dt = 0.1 ms`, i.e. a 10 kHz sampling\n",
    "rate."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "f1f4cc79",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T07:04:48.671801Z",
     "iopub.status.busy": "2026-06-19T07:04:48.671588Z",
     "iopub.status.idle": "2026-06-19T07:04:49.697054Z",
     "shell.execute_reply": "2026-06-19T07:04:49.696250Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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+Fw899BC++OILPProo+I+lqlJqdOnT4tN8F27dgVg/j/62qokgPn9OLpyUKqh79Pf39/qSjsAMBgMDn+5yc3ycz516pT4/bCcPzMzs87vS3MZOnQofH198cUXX2D+/PlWU5X1YZl6O3bsmCzv7euvv4abmxs2bdpkFTgcTXHKLTo6GoIgoEuXLujRo0ejjxceHo6goCAcPHjQ7rn9+/e3ybXXqOHYU0UkYVloMTU11Wq7pbIkvWqpS5cuCA8Px9KlS1FRUYFbb70VgPkX3dmzZ/HVV19h0KBBUKur/9/l/vvvx8WLF/HBBx/YnbusrAwlJSUNGvf169ft/q/e8o+97bTF+vXrxZ4owPyLYd++fRg5ciQAoGPHjkhISMC///1vhwFGuor0+PHjceTIEfGqSCnLeDw9PQHALiDVJTo6WuxZs3j//fdrrFTJKTExEVqtFm+//bbV9/Wjjz5CQUGB3dVrruLh4YHnnnsOx44dw7x58xxWdpypyt18883o0qULUlNT7X5ODanqqVQqKBQKq5/VuXPn7K5ubQr33XcfVCoVFi1aZDd2QRBq7S2ryfjx4/H9999bLcmQlpaG06dPY+LEiY0eM7UdrFQRSfTv3x/Jycl4//33kZ+fj+HDh2P//v345JNPMHbsWIwYMcJq/6FDh+KLL75A3759xd6Om2++GZ6enjh9+rRVPxUAPPzww/jyyy/x+OOPY9u2bbj11lthNBpx8uRJfPnll9i0aVOdU5OOfPLJJ3jvvfcwbtw4REdHo6ioCB988AF8fHzsVuTu1q0bhgwZgieeeAJ6vR6pqano0KEDnnvuOXGfZcuWYciQIejbty+mT5+Orl27IicnB3v27MGFCxdw5MgRAMCzzz6Lr776ChMnTsS0adMQGxuLa9eu4X//+x9WrFiB/v37Izo6Gn5+flixYgW8vb3h6emJ+Pj4OvvFHn30UTz++OMYP3487rjjDhw5cgSbNm1yqhepsYKCgjB//nwsWrQId911F8aMGYNTp07hvffew8CBA+tckLMuX331lcNpqDvuuMNqSYnDhw/jP//5j91+0dHRGDx4MABg3rx5OHHiBF5//XVs3rwZ48ePR6dOnXD9+nUcPnwYa9euRceOHWtdNFapVGL58uUYPXo0YmJiMHXqVISGhuLkyZM4fvw4Nm3aVK/3d/fdd+PNN9/EXXfdhQcffBBXrlzBsmXL0K1bN/z222/1OlZ9RUdH4x//+Afmz5+Pc+fOYezYsfD29kZmZibWrVuHGTNmYO7cufU65gsvvIC1a9dixIgRmDNnDoqLi/H666+jb9++slxkQW2IC644JHIJy6X3tS07IAiCUFFRISxatEjo0qWLoNFohIiICGH+/PkOL5tetmyZAEB44oknrLYnJiYKAIS0tDS71xgMBuG1114T+vTpI+h0OsHf31+IjY0VFi1aJBQUFIj7ARBmzpzp1Hs7fPiw8MADDwiRkZGCTqcTOnbsKNxzzz3CwYMHxX0sl+m//vrrwpIlS4SIiAhBp9MJQ4cOFY4cOWJ3zLNnzwqTJ08WQkJCBI1GI4SHhwv33HOP8NVXX1ntd/XqVWHWrFlCeHi4oNVqhU6dOgnJyclCXl6euM+3334r9O7dW1Cr1VbLKwwfPlzo06ePw/dkNBqF559/XggMDBQ8PDyEpKQkISMjo8YlFWx/rjUtdZCcnCx4eno69X199913hV69egkajUYIDg4WnnjiCbslB+RaUgGAsG3bNkEQ6l5SQfr+LdatWyeMGjVKCAoKEtRqteDn5ycMGTJEeP3114X8/Hyn3u+uXbuEO+64Q/D29hY8PT2Ffv36WS1rUNP3zvK+pD766COhe/fugk6nE3r16iWsXLnS4X41/T23/TnX9H22/PwzMzOttn/99dfCkCFDBE9PT8HT01Po1auXMHPmTOHUqVNW76euJRUsjh07Jtx5552Ch4eH4OfnJzz00ENCdna2U6+l9kMhCG2kY5OIanXu3Dl06dIFr7/+er3/T52IiOrGnioiIiIiGTBUEREREcmAoYqIiIhIBuypIiIiIpIBK1VEREREMmCoIiIiIpIBF/9sIJPJhEuXLsHb27tJbjdCRERE8hMEAUVFRQgLC2vwrZ1qwlDVQJcuXbK7+S0RERG1DllZWejUqZOsx2SoaiBvb28A5h+Kj4+Pi0dDREREzigsLERERIT4e1xODFUNZJny8/HxYagiIiJqZZqidYeN6kREREQyYKgiIiIikgFDFREREZEMGKqIiIiIZMBQRURERCQDhioiIiIiGTBUEREREcmAoYqIiIhIBgxVRERERDJgqCIiIiKSAUMVERERkQwYqoiIiIhkwFBFREREJAOGKiIiIiIZMFQRERERyYChioiIiEgGDFVEREREMmjXoWrcuHHw9/fHhAkTXD0UIiIiauXadaiaM2cOVq9e7ephEBERURvQrkNVQkICvL29XT0MIiIiagNabajasWMHRo8ejbCwMCgUCqxfv95un2XLliEqKgpubm6Ij4/H/v37m3+gRERE1C602lBVUlKC/v37Y9myZQ6fX7NmDVJSUrBw4UIcPnwY/fv3R1JSEq5cudLMIyUiIqL2QO3qATTUyJEjMXLkyBqff/PNNzF9+nRMnToVALBixQps2LABH3/8MebNm1fv8+n1euj1evFxYWFh/QdNREREbVarrVTVxmAw4NChQ0hMTBS3KZVKJCYmYs+ePQ065uLFi+Hr6yt+RUREyDVcIiIiagPaZKjKy8uD0WhEcHCw1fbg4GBkZ2eLjxMTEzFx4kT88MMP6NSpU62Ba/78+SgoKBC/srKymmz8RERE1Pq02uk/OWzdutXpfXU6HXQ6XROOhoiIiFqzNlmpCgwMhEqlQk5OjtX2nJwchISEuGhURERE1Ja1yVCl1WoRGxuLtLQ0cZvJZEJaWhoGDx7swpERERFRW9Vqp/+Ki4uRkZEhPs7MzER6ejoCAgIQGRmJlJQUJCcnY8CAAYiLi0NqaipKSkrEqwGJiIiI5NRqQ9XBgwcxYsQI8XFKSgoAIDk5GatWrcKkSZOQm5uLBQsWIDs7GzExMdi4caNd8zoRERGRHBSCIAiuHkRrVFhYCF9fXxQUFMDHx8fVwyEiIiInNOXv7zbZU0VERETU3BiqiIiIiGTAUEVEREQkA4YqIiIiIhkwVBERERHJgKGKiIiISAYMVUREREQyYKgiIiIikgFDFREREZEMGKqIiIiIZMBQRURERCQDhioiIiIiGTBUEREREcmAoYqIiIhIBgxVRERERDJgqCIiIiKSAUMVERERkQwYqoiIiIhkwFBFREREJAOGKiIiIiIZMFQRERERyYChioiIiEgGDFVEREREMmCoIiIiIpIBQxURERGRDBiqiIiIiGTAUEVEREQkA4YqIiIiIhkwVBERERHJgKGKiIiISAYMVUREREQyYKgiIiIikgFDFREREZEMGKqIiIiIZMBQRURERCQDhioiIiIiGTBUEREREcmAoYqIiIhIBgxVRERERDJgqCIiIiKSAUMVERERkQwYqoiIiIhkwFBFREREJAOGKiIiIiIZMFQRERERyYChioiIiEgG7TZUZWVlISEhAb1790a/fv2wdu1aVw+JiIiIWjG1qwfgKmq1GqmpqYiJiUF2djZiY2MxatQoeHp6unpoRERE1Aq121AVGhqK0NBQAEBISAgCAwNx7do1hioiIiJqkBY7/bdjxw6MHj0aYWFhUCgUWL9+vd0+y5YtQ1RUFNzc3BAfH4/9+/c36FyHDh2C0WhEREREI0dNRERE7VWLrVSVlJSgf//+mDZtGu677z6759esWYOUlBSsWLEC8fHxSE1NRVJSEk6dOoWOHTsCAGJiYlBZWWn32s2bNyMsLAwAcO3aNUyePBkffPBBrePR6/XQ6/Xi48LCwsa8PSIiImpjFIIgCK4eRF0UCgXWrVuHsWPHitvi4+MxcOBAvPvuuwAAk8mEiIgIPPnkk5g3b55Tx9Xr9bjjjjswffp0PPzww7Xu+9JLL2HRokV22wsKCuDj4+P8myEiIiKXKSwshK+vb5P8/m6x03+1MRgMOHToEBITE8VtSqUSiYmJ2LNnj1PHEAQBU6ZMwW233VZnoAKA+fPno6CgQPzKyspq8PiJiIio7WmVoSovLw9GoxHBwcFW24ODg5Gdne3UMXbv3o01a9Zg/fr1iImJQUxMDI4ePVrj/jqdDj4+PlZfRERERBYttqeqqQ0ZMgQmk8nVwyAiIqI2olVWqgIDA6FSqZCTk2O1PScnByEhIS4aFREREbVnrTJUabVaxMbGIi0tTdxmMpmQlpaGwYMHu3BkRERE1F612Om/4uJiZGRkiI8zMzORnp6OgIAAREZGIiUlBcnJyRgwYADi4uKQmpqKkpISTJ061YWjJiIiovaqxYaqgwcPYsSIEeLjlJQUAEBycjJWrVqFSZMmITc3FwsWLEB2djZiYmKwceNGu+Z1IiIioubQKtapaomacp0LIiIiahpcp4qIiIiohWOoIiIiIpIBQxURERGRDBiqiIiIiGTAUEVEREQkA4YqIiIiIhkwVBERERHJgKGKiIiISAYMVUREREQyYKgiIiIikgFDFREREZEMGKqIiIiIZMBQRURERCQDhioiIiIiGTBUEREREcmAoYqIiIhIBgxVRERERDJgqCIiIiKSAUMVERERkQwYqoiIiIhkwFBFREREJAOGKiIiIiIZMFQRERERyYChioiIiEgGDFVEREREMmCoIiIiIpIBQxURERGRDBiqiIiIiGTAUEVEREQkA4YqIiIiIhkwVBERERHJgKGKiIiISAYMVUREREQyYKgiIiIikgFDFREREZEMGKqIiIiIZMBQRURERCQDhioiIiIiGTBUEREREcmAoYqIiIhIBgxVRERERDJgqCIiIiKSAUMVERERkQwYqoiIiIhkwFBFREREJAOGKiIiIiIZqF09AFeKioqCj48PlEol/P39sW3bNlcPiYiIiFqpdh2qAOCXX36Bl5eXq4dBRERErRyn/4iIiIhk0GJD1Y4dOzB69GiEhYVBoVBg/fr1dvssW7YMUVFRcHNzQ3x8PPbv31+vcygUCgwfPhwDBw7EZ599JtPIiYiIqD1qsdN/JSUl6N+/P6ZNm4b77rvP7vk1a9YgJSUFK1asQHx8PFJTU5GUlIRTp06hY8eOAICYmBhUVlbavXbz5s0ICwvDrl27EB4ejsuXLyMxMRF9+/ZFv379HI5Hr9dDr9eLjwsLC2V6p0RERNQWKARBEFw9iLooFAqsW7cOY8eOFbfFx8dj4MCBePfddwEAJpMJERERePLJJzFv3rx6n+PZZ59Fnz59MGXKFIfPv/TSS1i0aJHd9oKCAvj4+NT7fERERNT8CgsL4evr2yS/v1vs9F9tDAYDDh06hMTERHGbUqlEYmIi9uzZ49QxSkpKUFRUBAAoLi7GTz/9hD59+tS4//z581FQUCB+ZWVlNe5NEBERUZvSYqf/apOXlwej0Yjg4GCr7cHBwTh58qRTx8jJycG4ceMAAEajEdOnT8fAgQNr3F+n00Gn0zV80ERERNSmtcpQJYeuXbviyJEjrh4GERERtRGtcvovMDAQKpUKOTk5VttzcnIQEhLiolERERFRe9YqQ5VWq0VsbCzS0tLEbSaTCWlpaRg8eLALR0ZERETtVYud/isuLkZGRob4ODMzE+np6QgICEBkZCRSUlKQnJyMAQMGIC4uDqmpqSgpKcHUqVNdOGoiIiJqr1psqDp48CBGjBghPk5JSQEAJCcnY9WqVZg0aRJyc3OxYMECZGdnIyYmBhs3brRrXiciIiJqDq1inaqWqCnXuSAiIqKmwXWqiIiIiFo4hioiIiIiGTBUEREREcmAoYqIiIhIBgxVRERERDJgqCIiIiKSAUMVERERkQwYqoiIiIhkwFBFREREJAOGKiIiIiIZMFQRERERyYChioiIiEgGDFVEREREMqh3qKqoqIBarcaxY8eaYjxERERErVK9Q5VGo0FkZCSMRmNTjIeIiIioVWrQ9N+LL76IF154AdeuXZN7PEREREStkrohL3r33XeRkZGBsLAwdO7cGZ6enlbPHz58WJbBEREREbUWDQpVY8eOlXkYRERERK2bQhAEwdWDaI0KCwvh6+uLgoIC+Pj4uHo4RERE5ISm/P3d4CUV8vPz8eGHH2L+/Plib9Xhw4dx8eJF2QZHRERE1Fo0aPrvt99+Q2JiInx9fXHu3DlMnz4dAQEB+Oabb3D+/HmsXr1a7nESERERtWgNqlSlpKRgypQpOHPmDNzc3MTto0aNwo4dO2QbHBEREVFr0aBQdeDAATz22GN228PDw5Gdnd3oQRERERG1Ng0KVTqdDoWFhXbbT58+jaCgoEYPioiIiKi1aVCoGjNmDF5++WVUVFQAABQKBc6fP4/nn38e48ePl3WARERERK1Bg0LVkiVLUFxcjI4dO6KsrAzDhw9Ht27d4O3tjVdeeUXuMRIRERG1eA26+s/X1xdbtmzBrl278Ntvv6G4uBg333wzEhMT5R4fERERUavQoMU/y8vLra76a4+4+CcREVHr05S/vxtUqfLz80NcXByGDx+OESNGYPDgwXB3d5d1YEREREStSYN6qrZu3Yq77roL+/btw5gxY+Dv748hQ4bgxRdfxJYtW+QeIxEREVGL1+h7/1VWVuLAgQP497//jc8++wwmkwlGo1Gu8bVYnP4jIiJqfVrc9B9gXpNq+/bt4pder8c999yDhIQEGYdHRERE1Do0KFSFh4ejrKwMCQkJSEhIwPPPP49+/fpBoVDIPT4iIiKiVqFBPVVBQUEoLS1FdnY2srOzkZOTg7KyMrnHRkRERNRqNChUpaenIzs7G/PmzYNer8cLL7yAwMBA3HLLLXjxxRflHiMRERFRi9foRvWrV69i+/bt+Pbbb/H555+zUZ2IiIharBbXqP7NN9+IDeq///47AgICMGTIECxZsgTDhw+XdYBERERErUGDKlUdO3bEsGHDkJCQgOHDh6Nv375NMbYWjZUqIiKi1qfFVaquXLki6yCIiIiIWrsGr1NlNBqxfv16nDhxAgDQu3dv3HvvvVCpVLINjoiIiKi1aFCoysjIwKhRo3Dx4kX07NkTALB48WJERERgw4YNiI6OlnWQRERERC1dg5ZUmD17NqKjo5GVlYXDhw/j8OHDOH/+PLp06YLZs2fLPUYiIiKiFq9Blaqff/4Ze/fuRUBAgLitQ4cO+Oc//4lbb71VtsERERERtRYNqlTpdDoUFRXZbS8uLoZWq230oIiIiIhamwaFqnvuuQczZszAvn37IAgCBEHA3r178fjjj2PMmDFyj5GIiIioxWtQqHr77bcRHR2NwYMHw83NDW5ubrjlllvQrVs3vPXWW3KPscksXboUffr0Qe/evTF79mw0cnF5IiIiasca1FPl5+eHb7/9FhkZGfj9998BmJdU6Natm6yDa0q5ubl49913cfz4cWg0GgwbNgx79+7F4MGDXT00IiIiaoUavE7VRx99hKVLl+LMmTMAgO7du+Opp57Co48+KtvgmlplZSXKy8sBABUVFejYsaOLR0REREStVYOm/xYsWIA5c+Zg9OjRWLt2LdauXYvRo0fj6aefxoIFC2QZ2I4dOzB69GiEhYVBoVBg/fr1dvssW7YMUVFRcHNzQ3x8PPbv3+/08YOCgjB37lxERkYiLCwMiYmJXF+LiIiIGqxBlarly5fjgw8+wAMPPCBuGzNmDPr164cnn3wSL7/8cqMHVlJSgv79+2PatGm477777J5fs2YNUlJSsGLFCsTHxyM1NRVJSUk4deqUWHGKiYlBZWWl3Ws3b94Md3d3fP/99zh37hzc3d0xcuRI7NixA8OGDWv02ImIiKj9aVCoqqiowIABA+y2x8bGOgwxDTFy5EiMHDmyxufffPNNTJ8+HVOnTgUArFixAhs2bMDHH3+MefPmAQDS09NrfP3atWvRrVs3ca2tu+++G3v37q0xVOn1euj1evFxYWFhfd8SERERtWENmv57+OGHsXz5crvt77//Ph566KFGD6ouBoMBhw4dQmJiorhNqVQiMTERe/bsceoYERER+OWXX1BeXg6j0Yjt27eLt9xxZPHixfD19RW/IiIiGv0+iIiIqO1oVKP65s2bMWjQIADAvn37cP78eUyePBkpKSnifm+++WbjR2kjLy8PRqMRwcHBVtuDg4Nx8uRJp44xaNAgjBo1CjfddBOUSiVuv/32WtfYmj9/vtX7KiwsZLAiIiIiUYNC1bFjx3DzzTcDAM6ePQsACAwMRGBgII4dOybup1AoZBhi03nllVfwyiuvOLWvTqeDTqdr4hERERFRa9WgULVt2za5x1EvgYGBUKlUyMnJsdqek5ODkJAQF42KiIiI2rMG9VS5mlarRWxsLNLS0sRtJpMJaWlpXLyTiIiIXKLBPVVNrbi4GBkZGeLjzMxMpKenIyAgAJGRkUhJSUFycjIGDBiAuLg4pKamoqSkRLwakIiIiKg5tdhQdfDgQYwYMUJ8bGkST05OxqpVqzBp0iTk5uZiwYIFyM7ORkxMDDZu3GjXvE5ERETUHBQC7yLcIIWFhfD19UVBQQF8fHxcPRwiIiJyQlP+/m6VPVVERERELQ1DFREREZEMGKqIiIiIZMBQRURERCQDhioiIiIiGTBUEREREcmAoYqIiIhIBgxVRERERDJgqCIiIiKSAUMVERERkQwYqoiIiIhkwFBFREREJAOGKiIiIiIZMFTJKLugHDP/exg/ncxx9VCIiIiomaldPYC2QhAEPPvVEew8k4cL18twW69gVw+JiIiImhErVTL5fH8Wdp7JAwCcySmCySS4eERERETUnBiqZJBdUI5XNvwuPi41GHExv8yFIyIiIqLmxlAlg51nclFiMKJXiDd6BnsDAE7nFInPZxeUY/GPJ7DjdC4EgRUsIiKitoihSgbF+koAQHRHL/QMMYeqU5JQtXrPOfz75z8w+eP9uCt1J7KulbpknERERNR0GKpkUGowAgA8tSoxVJ3JKRafl04FnsopwsZj2Vav3/fHVVy4zqBFRETUmjFUyaDUYK5UeWjV6FE1/Xcqu7pSlVNYDgAI9tEBAHKL9eJzJ7MLMen9vXj4o/1sbiciImrFGKpkUKI3V6o8tCr0CPYCAGTkFqPSaAIAXCk0h6g+Yb4AgNyi6lD16/l8AEBmXgn2Zl5triETERGRzBiqZGCpVHnq1Ijw94CbRglDpQl/VvVOWSpVfcJ8AAB5kkqVtKL11aELdsc+kpUv9mwRERFRy8VQJQNLT5W7RgWlUiFOAZ7JKUKxvhIlVc9bQpW0UiUNVT8ezbYKUN//dgn3LtuNf3xfvVwDERERtUwMVTIQG9V1KgCQ9FUVi1Uqb50akQGeAKorVYIgiFcJemhVKKswYsNvl8Tjrj1orlzt/YPTgkRERC0dQ5UMSvTVjeoAxL6q0zlFYqjq6KNDoLcWAHCtxACjSUBesQHXSgxQKIAH4yIBAAfPXQcAXC8xYHeGeYX2P6+ViucgIiKilomhqpEMlSaUVTiuVJ3OKRKb1IN93NDBUwelAjAJwNUSvTj1F9XBE2F+7gAgHmvT8WxUVl0NKAjW614BwO6MPGw6br00AxEREbkOQ1UjlRmMYhXJXWOuVFnWqsrMKxEX+gz2cYNKqUCAp7lalVdkEINSj2AvuGvNgay8KlRtOHrZ6jwnLxeJzz/z5RE89OE+PP6fQ2IljIiIiFyLoaqRSg2Vdj1VIT5u8NapUWkSxGUSOlatURXoVb1W1emqSlXPEB+4ayyhyoTyCiN+OWt+XVKfYADm9awA4D97/8TXh829VoIAMbSZTALW/XoBV4oYsoiIiFyBoaqRSisq7XqqFAoFelRVqw5kmnukgr3dAABB3uZQlVekx8mqSlXPYG+4VYWqsgojCssrYDQJUCiApD4hAKorVX9etV55/UrVlYSbf8/G02uOYMg/t/H+gkRERC7AUNVIZQajXU8VUN1XZahaADTYxxyqLJWqK0V6nLGEqpDq6b8ygxHlBvNrPDQq3BBqXobhRHYhBEFAYXmF1fkt03/7q8KbwWjC9lO54vNGk4Bfz1+Hkau1ExERNSmGqkYqKKtEhdEcWDyqeqqA6isALSy3qLFUqvb+cRWlBiPcNSpEdfCEm9r8oyivMKK0oqpHS6tCdJAX1EoFisorcamgHIVl5lDlpTOfK6eqEV5faRTP9VbaGbFatXJ3Jsa99wtW7s6U940TERGRFYaqRsqTLORpqTYB5ik9qepKlblRfU9Vz1TfTr5Qq5TVlaoKI8qqerTcNCpo1Up062gOaCcvF6Kw3By4oqu2WXqosguqe6nSs/KRccV8Q+ddVcsy7DyT1+j3SkRERDVjqGqkvBJzqNKqlNCqq7+dlp4qC0uFyvJfy7TgTRF+ACBpVK8OVR5VQSu8armFK0V6FFVN/3W3hKqqSlW2zVWAecUGAMDvl8wN7scuFlj1WrHvioiISF4MVY10tSq8eEj6qQBz75Rl+QQ/D43YiG7pqbLoXxWqpI3qlh4tS9Dy8zAf53qpAYVl5kqVpXpl6amyVKoswa5EX4ncIr3YyH61xCAGL0OlCePe+wX3LtvNXisiIiKZMFQ1kuWWMx4ald1zlr4qy5V/QHWlyiLGUqnSVi+pYLlXoGVbgKcGAJBfWiE2qncLskz/6VFeYcTVEoPV9hJDJU5cLrQ619ELBQCAbw5fQHpWPo5k5eNSflm93zMRERHZY6hqpGsllkqV2u45S1+VZY0qwLpS1dFbh1Bfc+Byk4Sy/FLzMW0rVXlFenFNrO5Vga2grALnq9aq0qmVCPc3TxUW6+1D1bGLBag0mrD857PitstVFa7rJQbxvERERFR/DFWNZJn+89TaV6oGde0AAOgT5itu8/fQQqVUADBXqRQK85/dJP1YlqBmqVT5V4UqS3gCzH1WuqrXHMnKBwCE+rqJVwWW6Cvxe1WosgS3oxcL8PPpXKu1ri4XlMFQacIdS3cg7tU0fLrnXL2/B0RERMRQ1WiW6T93B6HqrhtDkPbMcDyb1FPcJr1VTUykn7hdrVJCqzL/OPJLzVN8ltve+HuYp//+rApVnloV1CqleEXhb1XTeiGSUFVcXik2qU+M7QQAOH6p0K6h/XJBOfKK9cgr1sNQacLfvz2OX8+b17xa+O0xzPzsMCqrmuqJiIioZgxVjXS9KgB5au2n/xQKBaKDvMTKlEXXQE8A1ZUsCzeN+cdxVaxUmR9bpv9yq5rOvd3MIcuy9tWRC/kAgFBfd3hWhaoifSUy80oAAEN7BAEwh7XyCuuAlF1QLoY4iz9yS1Cir8Qne/7EhqOXsS/zWh3fBSIiImKokomjnqqavPWXm/DZo/G4OdLfarul2nXd0qdVFdT8qxrVLXzczds7ejuqVJmPcaVIj8qqK/vCqpZkMBhNKDNUWh3rUn4Z8suse6kKyytwUdLAfvhPc+WqwmjC02vS8U7aGaffKxERUXvBUCUTRz1VNQnxdcOt3QLttlua1S2VKstjS0+VhU9VpUraAA+Ye6cslaqL182hSKtWws+9OpQVVK3IHlbVZ3XZQaWqqLxSfD0A8ebOW3/PwbpfL2LJltMwcSkGIiIiKwxVMnHUU1XvY2isK1XVV//ZVqos039uVttDfKp7qiyVJl93jc2VheYA1SXIPAXpKFQVllXggqRSdej8dZRXGK2uJrwiWUmeiIiIGKpk46inqr4s4edaqWX6z/xYp1aJfwYAbzfzuQZ17SD2YQHmW9dYQpWl/8rXXQOVUlHdBF9VqYrqYA5VecV68VY3FoXlFVaVKkOlCYfPX8ehqgZ2ALhwvVT877JtGeIipERERO1V45MAAbBfUb0hLJUpQ6XJ6jFgngIsNZiDjmX6LybCD/tfTMTBc9fgpjbffFkahgBzqAIAnUYJg9EkTv+F+rpBp1ZCX2nCyctF5n2qHheVV6LMpqE9p7Ach//MFx9fzC+DJisf9y7bDcC8ttaLd/dGelY+Ajy0iOzg0ejvBxERUWvCUCUTOSpVtlOI0sf+nhpxSs/SqA6YA9ZtvYKrx2HTMG8JVW4aFYrKK1FQNdXnplEh1NcN566W4mS2eVovMsADZ64Uo7C8Qlxk1OLX8/ni7XMA4ML1Mvx08or4+FJBOS4XlGFsVcjKeGUk1CoWQomIqP1oF7/1xo0bB39/f0yYMKFez9WHHD1V0qk8wL5SZWGpVDlimRq0qA5Vluk/89SiTqNCqK/5qsBzVYuBRgaYq0vSRnXLbXUyrhRbHffC9TKx6gWY18XKzC0RH++uam5fuTsTj35yEOUV1iGNiIiorWkXoWrOnDlYvXp1vZ+rDzl7qiykQc1PEqq8awlVNVaq1OZjWZrS3dRKdKq6pY1FRFWoulpsEBvRu1StqVWit16K4cL1UpTqq4NSflmF2K8FAN8duQQAePenDGw9kYM9f1ytccxERERtQbsIVQkJCfD29q73c/UhZ0+V+Fg6/Se5AlA6/WfLS1vz9B8A6Kv6tdw0KvEKQAtLpcoyzeimUSKk6grD4qpQ5S25urBEsuZVQakBV4urrwjcdDwb+aUGcXmIc1ULkVYYTciS3G6HiIiorXB5qNqxYwdGjx6NsLAwKBQKrF+/3m6fZcuWISoqCm5uboiPj8f+/fubf6B18NA0QajSOK5U1Tb952kT7myn/yx0aiW6dHAcqizC/dyhrbq/oKXHyhLELl4vs6peFZRVIK+4ehHRovLqew8CEFd3f/K/v2Lov7bh0J9cpZ2IiNoWl4eqkpIS9O/fH8uWLXP4/Jo1a5CSkoKFCxfi8OHD6N+/P5KSknDlSnWTdExMDG688Ua7r0uXLjXX27CbdmsI274sjxorVTWHKrVKKd5oGbCvVFk4rFTZXLEX7u8BTVWzuaVSFRHgAYXCXPGS3uC5oKwCucXWa1dZ7j0ImENVZl4JNh7PBgBsPXEFJfpK/FZ1ix0iIqLWzuVX/40cORIjR46s8fk333wT06dPx9SpUwEAK1aswIYNG/Dxxx9j3rx5AID09PQmH6der4deXx0aCgsLrZ73kKVRveZKlb9VT1XtPzZvNzX0VVWj2kJV5wDrUBXu5w6lArAslt7J3x2aqvsWWqpSnloVfN01yC+tgHRRdZMA/Hm1xOp40krVH7kl+OSXc+JjlUKBf2z4HZ/vz8ITCdF4/q5e5uOYBCht7pVIRETUGri8UlUbg8GAQ4cOITExUdymVCqRmJiIPXv2NOtYFi9eDF9fX/ErIiLC6nk5KlV2wceqUV1Sqapl+s92LL4eNYUqpcPKmLQJXjr9ZwlQWrWyxlB39opNqJJUqi4VlIk3fgbMt+L55vBFAMDy7WdxOqcIC789hrhXt3IhUSIiapVadKjKy8uD0WhEcHCw1fbg4GBkZ2c7fZzExERMnDgRP/zwAzp16mQVyGp7Tmr+/PkoKCgQv7Kysqyel/M2NY4e16dSJb0S0U+8+s+2p8p8bF/JVKJCobA6did/d3H6z0KjUtqFOp+q12TbhKGT2UXinwUBOJNTvSzD1WI9ugZ5iY/Ts/LxyZ4/kVdswHvbMgAARy8UiGtoERERtXQun/5rDlu3bm3Qc1I6nQ46na7G52VpVNdWBxiNSmEVaCz3+fN2U9tVnWx5SStVNU7/mY/t76GxWm/KHJjMV/+F+7njj1zr6pOjSlWorzsKy4tQEzeNEuUVJrEvCwCulRhQrK8+b5lksdHz10pxtViP0e/uAgCcfXUUVJwSJCKiFq5Fh6rAwECoVCrk5ORYbc/JyUFISIiLRmVPp1bKsnq4tDJlW7UK8XXD4vv6Isir5mBn4SUJPT41XP1nCVlhfu7i4p/m/atfG+5fPf1nobWpVHloVfD3tK5cBXnrxHsPAkAHT524TIPFtRIDisqrQ9algurnLxeUW00VXisxiIuQEhERtVQtevpPq9UiNjYWaWlp4jaTyYS0tDQMHjzYhSOzJkc/FWBdTXI0nfhAXCQSewfbba9pPDq1UjymXaWqavrv5XtvRKCXFv/v7hsAVC8sqlEp0NHbTbwRs4VWpbS6+tBDq7aaQlQpFeLaVhbSfjCLvGI9iiWh6s+86mB3NrfY6j6DV4rKsel4Nt5JO4NLVeHMJO2SJyIiagFcXqkqLi5GRkaG+DgzMxPp6ekICAhAZGQkUlJSkJycjAEDBiAuLg6pqakoKSkRrwZsCWyrSg3lVkulqj68dPb9UrahSldVuerW0QsHXkyEQmGeXrNUoUJ93aFSKqBRWU+7aWym/zx1Kvi5V/d7BXhq7QKhtB/MorDceoX2PyXLM1QYBaz79aL4+OtDF/Hx7kwAQE5ROVQKBb777TI2zB4i3mqHiIjI1Vweqg4ePIgRI0aIj1NSUgAAycnJWLVqFSZNmoTc3FwsWLAA2dnZiImJwcaNG+2a113JdsHNhrKa/mvEbW8sjerSUKWza1SvfmwJVEB1E3y4nzmsaNXW781++k9tVYnq6K2zCnAalcKp7895m+UYpNOF0rWscov02HTcPB38xqbT+Of4vvjh6GUMju6Ajt7WFTIiIqLm5PJQlZCQAEGofSpn1qxZmDVrVjONqP48ZLjvH2A95eeuafjMrKWnqqZKlU6ttApSUgGe5qpSRIA5VNlWqrRq6+k/T60KOsmxJ8Z2wi9nq+/z565RiVca1qbEUPMNl6VVLGmz+8nsQny0KxP//PEkegZ7Y9PTw+o8DxERUVNxeahqC+RY+BOwrlQ1JqhZrv6ThirpsWu7enB8bCdcLijH1FujAMBho7p0m4dOjQ6e1dN7D8RH4tesfPGxp05tdwxvnRpFNjdoro206V3a3H7mSjG+TTevmn8qpwiCIOCfG0/Cx02DmSO6OX18IiIiOTBUyUCuSpWbk8GnLkO6ByIywAOj+obWcOyaq2Dhfu5YfF9f8bHtOlVaSfM7YK5UTYjthMy8Eoy7KRw6tUpsggfM1TfbqcdQPzcUSdasqo/LBdVrYRkqTciT3Brn0J/X8e+f/wAAPDasqyxXZBIRETmLoaqRNCoFBkb5y3IsadhpTPWrV4gPdjw3wmqb9NjOTMdZ2F79Z178s/qvjYdWDU+dGi+N6ePwXB5a++m/yAAPnG5gqJJWrQBYXUG49UT1/SCvl1agoKwC3Tp6gYiIqDnwf+Ubac/82/HY8GhZjiXX1X91Hbu2SpUtje30n21PlYMmdOntdTy09tN/3YO9nT5/Xcoqqnux1h6sXuV+wbfHkPjmz1j03XHsPJOLga9sxebjzq/CT0REVF8MVY3UmGk6WxqVUmwMl+O2N1LSIFWfMdstqaBSWF3952iNLun0n4eD6b/ukupRgKf1cgs+ddyCpzZXSwzin388Zg5QK3efw8Mf7UdukR4zPj3U4GMTERHVhaGqhbEEHrlDlXQKzq0e03+2gcj2NjW204OAdWjz0KrENbEs+0cFeoqPO9qslB7oxIrxjfHr+esY+q+f8OPRy016HiIian8YqloYy7RfU07/6eoz/edgRXVpqHK0HIa7VU+V2irQadVKRHWoDlW2N2eWVq5sA50cHvpwH7KuleGJzw6jzGDElweycE1S4SIiImooNqq3MJbwI9cyDdXHbVijuqOr/6RX1VU6uF2MbaVK2lOlVSvhL1kstLyyuidKqbC+pY2nTg1BqITBaHJ6vHUplayHNfHfv+DYxULcezYMh89fxwNxkfhbApdiICKihmGlqoVxr+FefY3V0EZ12yZz25BlrCNU2S6poFVZLzxaJgk5Pu4aq+OrlQqrGzzL7djFQgDAt+mXkHWtDP/aeApXisrxj+9/xx+5Dbs6kYiI2i+GqhbGcuWc3NN/zi7+acvuhso2IcvRGl3W61iprUNV1Z+n3BIFAJg3spfVvtIqmEalFG/w3FyeXpOOD3dl4uGP9jfreYmIqPVjqGphOlXdc6+Tv7w3Cra9TY2zHPVUAcBLo3tjQGd/TKlaed36XLbrVNmHqoWje+PIgjtxa7dAq+fUyuoqllqlsLoa0PZKxKawO8N8i52L+WUorzDiVHZRk5+TiIjaBoaqFuaVcTfiy8cGI65LgKzHVSkVYihpzJIKYqXp1i746olbrG6FY2E//SdpVK8KZQqFAr4eGrupQatQpVRYVaqkVwY29VWCAPDXD/chKXUHDpy71uTnIiKi1o+hqoXx89AirktAjTc8bgzLUgqN6alytISCLfdapv9srzyUvk/bJniNzZWGBWUV4p9jO/vVPfhGOvjndQDAsm0ZWLrlNMoMRlQYTaiUsXGeiIjaDl79147oNCoU6SvrtU6V7fSf7QrrjthVqmzWqar5XAqryphapbBaXFR65Z50u1qpcHgVoly2n8rF9lO5+DUrH5fyy6BWKvDD7KFQKpt+OpKIiFoPVqraEUuFqj7rVNk1qjegUqVVWa9TVRONSgm1Unr1n9IqZD0ypIv4X2n1y8fBFGRT2HE6FxlXinEyuwjfH72Mga9sxf+OXGqWcxMRUcvHUNWOuDVguQalUmHV5+RMs7h0etG2UlVbk7xWbR2iNCqFVch67q6e+GLGIMwb2csq3DXm1jYNNfvzX5FbpMfsz38VtzlaCJWIiNoPhqp2xBJ26jP9B1RPAdquMVUTnSS0aVQKh1f/OaJVKaGWTv8plVBJAp1OrcKgrh2gUSmtjiOtVIX7yXvVpLMqjSbc884uTFt1wCXnJyIi12NPVTtimZarz/QfYA5GZRXOL2kgnf5TKhTWK6rXMn3Yr5MfTJJqj9qmx0rKKlRJrhD0cnCD56b21Be/4vfLhTidU4zjlwpRVF7R7OtrERGR6zFUtSMTYjvBUGnC4K4d6vU6rVoFoLLWKpOUNAiF+LpBqZBO6dkf49uZtyLtRA4eG94VH+z4w2pfdQ0hTNqnJV113dkxyml9unVf1a4zebhwvQx/HdRZ9htjExFRy8VQ1Y5MGhiJSQMj6/06bVVIchSIHFEoFNgwewjKDEYEeulQoq+sdf/+EX7oH+EHAFYhSq1UYHDXDli+/az9mCThyVunsdo+oLO/uByCKzzx2WEAwLVSA56/q1cdexMRUVvBUEV1siyjUJ8qUJ8wX/HP0tfV1cpt3aiuxLAeQfhw8gD0CPa22s+6p0pSqVIpkfqXGKRuPQNfdw1W/GwfyJrL7ow8l52biIiaHxvVqU7SRvWGkF49WNcFcra3qQGAxN7BiOzgYbVfTT1VWrUSwT5uWHxfX8REVAe7+ix4Kpf80gr8fqkQxy4WYPrqg8i4wlveEBG1ZaxUUZ0sYaqh/Ur1WR3eevqv5vPpVI6v/pOOUXp7HB83Dcor9E6PQw7nr5Vi1Ns7xce7zuThpkg/jOkfhr/E1X8aloiIWjZWqqhODZn+q4lQxwSg7TpVNalp+k+lkC7B0PwLhNamrMKIX85exbxvjrp6KERE1ARYqaI61bdRvVZ1Tv9JKlVOhippo7o0tEnXy3LFAqG1uX/FHug0Sjw8qDOOXMjHM3f05G1viIhauZb1m4ZaJEuAaWhPVX3YLv5ZE2eqUDXto1UrYai0vilyoJcOecXNNz24/9w1AMDOM+Zm9sFdAzGke2CznZ+IiOTH6T+qk6VC5czNlBvL+t5/zlWqPCRrQUkb4aXN6dJmdumf/zooEvfdHI7nkno2eMxyMPIWN0RErR5DFdWpsVf/SdUVHawqVbWcTzqWmq7sky466i2Z/pNOBd7VJxRv3h9j1ZflCl8ezMLRCwUuHQMRETUOQxXVSZz+Uze+56euFcYb0qguvcpPGtqkPWDS28Z4S6YCLbfsqW2qsTls+O0yRr+7C0aTwBszExG1UuypojppZahUvXxvH3y+PwtPJXavdT/r6b9aKlXSUFVDpSoiwAMzhnWFj5saFcbqoCKtVFn6rmprim9O8a9uRUyEHz5MHujqoRARUT0xVFGdNDJc/Td5cBQmD46qcz/r6b+ag44C0qUTHPdUAcALo24AALyddkbcJp0KtEwRynJlowzyig3YeuIKTCaBVwMSEbUyLeM3CbVomkYu/tmQc5n/XHOokC6dYN1T5XjqTCUJKNIlGCqMJrvzSr046gbcEOpT65ibwq2v/YQH3t/LqUAiolaEoYrqZAlTzVHNsbpNTS3Tf26SNaik05I1ZRBp07o0HIb7u5vPJQlw0gJRdEdP/DhnKEb3D6t78DK6XFCOPX9ctZq2JCKilo3Tf1Snjt5uAIBgH7cmP5ezlaroIC9MvTUKgV46p26DI82DKqUCac8MR3F5pfjeNJIA56FVo1hfCaA62JlcVDGa8elB9Az2xvyqaUwiImq5GKqoTlNuiUK3jl4Y0q3pF6dUKZ1bUgEAFo7u4/RxpZUqlVKB6CAvq+ellSoPrUoMVZaQ56ppuO2ncrH9VC6eSuwhXjlZUFYBnVppVa0jIiLX4/Qf1cldq8IdvYPrXA5BDhqrFdWdb9R+KrE7PLUqzBvZy+Hz0rCmcnBcjU2ost1uNLl2Gu6jXX+gsLwCxfpK9F+0Gbf+8yeXjoeIiOyxUkUtirSPqj49XE8l9sCsEd1qrG5Jg5TSwXSh2mb6T9yuskz/2R9Tq1LCYDTZP2GjT5gPjl8qrHO/2ryx+TT+yC3BXwd3BgBcLTHAUGlqlosHiIjIOQxV1KI4u6SC49fWHDCsK1W1n9dTV12pslTLTA5S1bAegbj9hmB0DfTEqZwiqJQKvLjumN1+G2YPxdhlu5Gele/M26jRN79exDe/XhQfXy3RI9TXvVHHJCIi+TBUUYsirU7Jucq5StpT5aBSJT2vtFJlqQQ5alRXKRV4IC4SABDftQMO/XmtxvM3RU9WXpGBoYqIqAXh3AG1KNZLKsi3+KV0IU1Hi2pKz+Wusa9UOVrZwDb01RYCm6IlK69YL/9BiYiowRiqqEWRTuE5sVKC0+qsVEl6k6R9SrVd/Wcbzhw1wFsIdd5Kuv5yixiqiIhaEoYqalFqW5uqMVR1VKo0NTTIW/6cXHWLnX6dfGs8R209YKa6+9nrrbC8ourYXCCUiKglYKiiFqW2ak9jKOuYVpQGIq3avlk+sXcwts9NwOppcTWeo7bpyqaIPRVGARlXinHT/23BO5J7GxIRkWswVFGLopGxOV1KZbP4py1pIJKu0C4dT1SgZ60LbqpqGXtTNKpfK9Hjnnd2oqCsAku2nJb9+EREVD+8+o9aFKVVuJHvuHWtUyUNUtJnbaf0HL1W3LeWSlVT3Obmg52Zsh+TiIgajpUqahfqWlFdShqcbBcgrS041dqozrYnIqI2r12EqnHjxsHf3x8TJkxw+HxpaSk6d+6MuXPnNvPIqLlIs5GjRnUpaTHKtnG+ttfWt1L12PCusjbmlxoqa3zuWokBS7ecxgc7/pDtfEREZK1dhKo5c+Zg9erVNT7/yiuvYNCgQc04IqpN5w4eAIDYzgGyHVNZx5IKUt2DveHtpkZUBw+racG61LdSNbpfmHhVoSOBXlqnzw0AV4sNNT6XV6zHW2lnsPzns/U6JhEROa9dhKqEhAR4e3s7fO7MmTM4efIkRo4c2cyjoppsTRmOY4uS4Ouuke2Ydd2mRsrfQ4MDLyZia8rwep2jtsU/Hc3+KRUKGGuZF9z41LB6nf96ac2hqqLqHoVyLqhKRETWXB6qduzYgdGjRyMsLAwKhQLr16+322fZsmWIioqCm5sb4uPjsX//ftnOP3fuXCxevFi241HjaVRKeOnkvYZCWp2qqdn8xVE3IKlPMO7qEwI3jarWewk6PIdkKm9It0AAwMv39gEAPH1HD7v91SpFrb1WunreLPnZtb+hzGB0+Fxl1ZLw9blJNRER1Y/Lr/4rKSlB//79MW3aNNx33312z69ZswYpKSlYsWIF4uPjkZqaiqSkJJw6dQodO3YEAMTExKCy0r6fZPPmzQgLC6vx3N9++y169OiBHj164Jdffql1nHq9Hnp99QrWhYWFzr5FagGUTjSqTx/WFdPRtcHnkFaB7roxBB8mDxCXYBjTPwwDo/zxv/RLWPzjSfOYFIparwrU1jNUncopwsz/Hsb4mzshqU+wVSisrFp9tL43qSYiIue5PFSNHDmy1qm3N998E9OnT8fUqVMBACtWrMCGDRvw8ccfY968eQCA9PT0Bp177969+OKLL7B27VoUFxejoqICPj4+WLBggd2+ixcvxqJFixp0HnK9+lz9J8c5ANitaRXq625zw+g6QlUDqko/nbyCn05ewfKHbkaIrxuWbTuLF+++ARVVlSpO/xERNZ0WPRdgMBhw6NAhJCYmituUSiUSExOxZ8+eRh9/8eLFyMrKwrlz5/DGG29g+vTpDgMVAMyfPx8FBQXiV1ZWVqPPT82nWUKVE03t0kqRSqmo9UbL9WmSt3Wt1IBx7/2CrSdy8NSadHH6r7a+LyIiahyXV6pqk5eXB6PRiODgYKvtwcHBOHnypNPHSUxMxJEjR1BSUoJOnTph7dq1GDx4cL3GotPpoNPp6vUaajnquqGyHOpaqgGwD3eO7tu3aupARAd5NWoslhAFAJfyy1DB6T8ioibXokOVXLZu3VrnPlOmTGn6gZDL1HVD5eaitg1VDqb/+oT5Isi7cQE+M69E/LO3Tl1dqWKjOhFRk2nR/8IGBgZCpVIhJyfHantOTg5CQkJcNCpqjeqzTpUcajqF0uYehFUrHViRo+9p1S/nxD97u6lhrKpUadhTRUTUZFp0qNJqtYiNjUVaWpq4zWQyIS0trd7Td9S+NUdPlTNsw52jGy2rZJ6i83JTVzeqc/qPiKjJuHz6r7i4GBkZGeLjzMxMpKenIyAgAJGRkUhJSUFycjIGDBiAuLg4pKamoqSkRLwakMgZ9blNjRwUcKK/SuV48U+NzM3kXjq1uKQC16kiImo6Lg9VBw8exIgRI8THKSkpAIDk5GSsWrUKkyZNQm5uLhYsWIDs7GzExMRg48aNds3rRLVpiuk/R1WmukhPrVI4vvqvrkraB5MHYPrqg06fU6NSckkFIqJm4PJQlZCQUOcvp1mzZmHWrFnNNCJqi6RLCTTH9F9N02xWoaqGRvW6gk99w5yh0sRGdSKiZsB/YaldkM6oyRWqHK0j9diwrugb7osx/R2v5C+dFlQrFejR0f6elHVNT9a2ttWMYfYrwhuMJsn0HytVRERNhaGK2oX63FC5MeaPugHfPTnEbjX1msb02PCumDkiGn8ZGOFwnwmxney21VapcpPc2mb27d0BANtP5aKo3HwbJy7+SUTUdPgvLLULztxQ2Vl39w0FADwypEu9Xys9tUKhgJtGhWeTeqF/hJ/D/f8x9kb855F4q221Vaqk03s+btWz++9ty6h6npUqIqKm4vKeKqLm4MwNlZ317oM34dWyvvD10DR2WHVy06gwpHug1bZO/u417i8NTZ666o93icEIQP4rC4mIqBr/haV2QVqpcma5g9ooFArZA1V9es/7R/jhtfF90SfMx+45aRVOGqosWKkiImo6DFXULrjy1jTOEFC/K/omDYxEfJcOVttu79XRKpx56ez7urhOFRFR0+G/sNQuSKf86htg5OToikHAvECnM3Rqxx/Z758cgvf+erPVe3NU/eI6VURETYehitqFlh4mRvUNxR29g/H/7r7B4fNfPjYY/Tv54osZgxw+f2O4L3Rq68qUo4Z2rlNFRNR02KhO7YJSxp6qxhjeIwhatRIxnfystmtUSnwweUCNr4vrEoBvZw2p8/jS6tRQmwZ3oOWHSyKi1oyhitoFV95EWcrXXYPfFt4JbTNUjNw0Kjw2vCv+/fMf4jY2qhMRNR2GKmoXWkimAgCnFgZ1hqOr/2wXBrWdEvTQynNuIiKyx1BF7YK0QVxbQ7N3azPupnCUGCoR29lf3GbbnG7b2O6u5UeeiKip8F9YajdmjeiGK0Xl6BHs5eqhyEKpVGDy4Cirbba96bahykOmKhkREdljqKJ2Y25ST1cPocnZVqpsq3Kc/iMiajptYx6EiADYhyjbhnh3hioioibDShVRG/LXQZH47sgl3HVjCABHlSp+5ImImgr/hSVqQ7zdNPhhzlDxse1taTj9R0TUdDj9R9SGebtZ/39TTbe5ISKixuO/sERt2K3dAjF5cGfxcUu/sTQRUWvGUEXUhmlUSiwc3Ud83NFb58LREBG1beypImrjVEoFfnpmOCqMArzdNK4eDhFRm8VQRdQOdA1qGwueEhG1ZJz+IyIiIpIBQxURERGRDBiqiIiIiGTAUEVEREQkA4YqIiIiIhkwVBERERHJgKGKiIiISAYMVUREREQyYKgiIiIikgFDFREREZEMGKqIiIiIZMBQRURERCQDhioiIiIiGahdPYDWShAEAEBhYaGLR0JERETOsvzetvwelxNDVQNdvXoVABAREeHikRAREVF9Xb16Fb6+vrIek6GqgQICAgAA58+fl/2H0hYNHDgQBw4ccPUwnOLKsTb1ueU+vhzHa+gxGvI6Z19TWFiIiIgIZGVlwcfHp95ja2/4+W4Z5+bn27nXFBQUIDIyUvw9LieGqgZSKs3taL6+vvxH1wkqlarVfJ9cOdamPrfcx5fjeA09RkNeV9/X+Pj4tJq/t67Ez3fLODc/3/V7jeX3uJzYqE7NYubMma4egtNcOdamPrfcx5fjeA09RkNe15r+HrYmren7ys938x6vvX2+FUJTdGq1A4WFhfD19UVBQUGr+T80InIOP99EbVdTfr5ZqWognU6HhQsXQqfTuXooRCQzfr6J2q6m/HyzUkVEREQkA1aqiIiIiGTAUEVEREQkA4YqIiIiIhkwVBERERHJgKGKiIiISAYMVU3g+++/R8+ePdG9e3d8+OGHrh4OEclo3Lhx8Pf3x4QJE1w9FCKSUVZWFhISEtC7d2/069cPa9eurfcxuKSCzCorK9G7d29s27YNvr6+iI2NxS+//IIOHTq4emhEJIPt27ejqKgIn3zyCb766itXD4eIZHL58mXk5OQgJiYG2dnZiI2NxenTp+Hp6en0MVipktn+/fvRp08fhIeHw8vLCyNHjsTmzZtdPSwikklCQgK8vb1dPQwiklloaChiYmIAACEhIQgMDMS1a9fqdQyGKhs7duzA6NGjERYWBoVCgfXr19vts2zZMkRFRcHNzQ3x8fHYv3+/+NylS5cQHh4uPg4PD8fFixebY+hEVIfGfr6JqOWS8/N96NAhGI1GRERE1GsMDFU2SkpK0L9/fyxbtszh82vWrEFKSgoWLlyIw4cPo3///khKSsKVK1eaeaREVF/8fBO1XXJ9vq9du4bJkyfj/fffr/8gBKoRAGHdunVW2+Li4oSZM2eKj41GoxAWFiYsXrxYEARB2L17tzB27Fjx+Tlz5gifffZZs4yXiJzXkM+3xbZt24Tx48c3xzCJqAEa+vkuLy8Xhg4dKqxevbpB52Wlqh4MBgMOHTqExMREcZtSqURiYiL27NkDAIiLi8OxY8dw8eJFFBcX48cff0RSUpKrhkxETnLm801ErZMzn29BEDBlyhTcdtttePjhhxt0HoaqesjLy4PRaERwcLDV9uDgYGRnZwMA1Go1lixZghEjRiAmJgbPPPMMr/wjagWc+XwDQGJiIiZOnIgffvgBnTp1YuAiagWc+Xzv3r0ba9aswfr16xETE4OYmBgcPXq0XudRyzZiEo0ZMwZjxoxx9TCIqAls3brV1UMgoiYwZMgQmEymRh2Dlap6CAwMhEqlQk5OjtX2nJwchISEuGhURCQHfr6J2q7m+nwzVNWDVqtFbGws0tLSxG0mkwlpaWkYPHiwC0dGRI3FzzdR29Vcn29O/9koLi5GRkaG+DgzMxPp6ekICAhAZGQkUlJSkJycjAEDBiAuLg6pqakoKSnB1KlTXThqInIGP99EbVeL+Hw36JrBNmzbtm0CALuv5ORkcZ933nlHiIyMFLRarRAXFyfs3bvXdQMmIqfx803UdrWEzzfv/UdEREQkA/ZUEREREcmAoYqIiIhIBgxVRERERDJgqCIiIiKSAUMVERERkQwYqoiIiIhkwFBFREREJAOGKiIiIiIZMFQRERERyYChiohaFEEQMGPGDAQEBEChUCA9Pd3VQyIicgpvU0NELcqPP/6Ie++9F9u3b0fXrl0RGBgItZr3fieilo//UhFRi3L27FmEhobilltucfi8wWCAVqtt5lEREdWN039E1GJMmTIFTz75JM6fPw+FQoGoqCgkJCRg1qxZeOqppxAYGIikpCQAwLFjxzBy5Eh4eXkhODgYDz/8MPLy8sRjlZSUYPLkyfDy8kJoaCiWLFmChIQEPPXUU+I+CoUC69evtxqDn58fVq1aJT7OysrC/fffDz8/PwQEBODee+/FuXPnrMY8duxYvPHGGwgNDUWHDh0wc+ZMVFRUiPvo9Xo8//zziIiIgE6nQ7du3fDRRx9BEAR069YNb7zxhtUY0tPToVAokJGR0fhvKhE1G4YqImox3nrrLbz88svo1KkTLl++jAMHDgAAPvnkE2i1WuzevRsrVqxAfn4+brvtNtx00004ePAgNm7ciJycHNx///3isZ599ln8/PPP+Pbbb7F582Zs374dhw8frtd4KioqkJSUBG9vb+zcuRO7d++Gl5cX7rrrLhgMBnG/bdu24ezZs9i2bRs++eQTrFq1yiqYTZ48GZ9//jnefvttnDhxAv/+97/h5eUFhUKBadOmYeXKlVbnXblyJYYNG4Zu3bo14LtIRC4jEBG1IEuXLhU6d+4sPh4+fLhw0003We3zf//3f8Kdd95ptS0rK0sAIJw6dUooKioStFqt8OWXX4rPX716VXB3dxfmzJkjbgMgrFu3zuo4vr6+wsqVKwVBEIRPP/1U6Nmzp2AymcTn9Xq94O7uLmzatEkQBEFITk4WOnfuLFRWVor7TJw4UZg0aZIgCIJw6tQpAYCwZcsWh+/34sWLgkqlEvbt2ycIgiAYDAYhMDBQWLVqVS3fJSJqidhTRUQtXmxsrNXjI0eOYNu2bfDy8rLb9+zZsygrK4PBYEB8fLy4PSAgAD179qzXeY8cOYKMjAx4e3tbbS8vL8fZs2fFx3369IFKpRIfh4aG4ujRowDMU3kqlQrDhw93eI6wsDDcfffd+PjjjxEXF4fvvvsOer0eEydOrNdYicj1GKqIqMXz9PS0elxcXIzRo0fjtddes9s3NDTU6V4khUIBweYCaGkvVHFxMWJjY/HZZ5/ZvTYoKEj8s0ajsTuuyWQCALi7u9c5jkcffRQPP/wwli5dipUrV2LSpEnw8PBw6j0QUcvBUEVErc7NN9+Mr7/+GlFRUQ6XW4iOjoZGo8G+ffsQGRkJALh+/TpOnz5tVTEKCgrC5cuXxcdnzpxBaWmp1XnWrFmDjh07wsfHp0Fj7du3L0wmE37++WckJiY63GfUqFHw9PTE8uXLsXHjRuzYsaNB5yIi12KjOhG1OjNnzsS1a9fwwAMP4MCBAzh79iw2bdqEqVOnwmg0wsvLC4888gieffZZ/PTTTzh27BimTJkCpdL6n7zbbrsN7777Ln799VccPHgQjz/+uFXV6aGHHkJgYCDuvfde7Ny5E5mZmdi+fTtmz56NCxcuODXWqKgoJCcnY9q0aVi/fr14jC+//FLcR6VSYcqUKZg/fz66d++OwYMHy/ONIqJmxVBFRK1OWFgYdu/eDaPRiDvvvBN9+/bFU089BT8/PzE4vf766xg6dChGjx6NxMREDBkyxK43a8mSJYiIiMDQoUPx4IMPYu7cuVbTbh4eHtixYwciIyNx33334YYbbsAjjzyC8vLyelWuli9fjgkTJuBvf/sbevXqhenTp6OkpMRqn0ceeQQGgwFTp05txHeGiFyJK6oTUbuRkJCAmJgYpKamunoodnbu3Inbb78dWVlZCA4OdvVwiKgB2FNFRORCer0eubm5eOmllzBx4kQGKqJWjNN/REQu9Pnnn6Nz587Iz8/Hv/71L1cPh4gagdN/RERERDJgpYqIiIhIBgxVRERERDJgqCIiIiKSAUMVERERkQwYqoiIiIhkwFBFREREJAOGKiIiIiIZMFQRERERyeD/A0n45rZzv+4YAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = brainmass.viz.plot_power_spectrum(eeg[:, 0], dt=0.1 * u.ms)\n",
    "ax.set_title(\"Power spectrum of EEG channel 0\")\n",
    "ax.set_xlim(1, 100)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3163f0ae",
   "metadata": {},
   "source": [
    "## Validating against data: functional connectivity\n",
    "\n",
    "A common way to score a whole-brain model is the agreement between its **functional\n",
    "connectivity** (FC, the region x region correlation of the observed signal) and an empirical\n",
    "FC. We compute the BOLD FC from the convolution pipeline and compare it to the FC bundled with\n",
    "the example signal dataset, using the same correlation that {mod}`brainmass.objectives` will\n",
    "optimise in the next tutorial."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "bcf40b5a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T07:04:49.698948Z",
     "iopub.status.busy": "2026-06-19T07:04:49.698730Z",
     "iopub.status.idle": "2026-06-19T07:04:51.119643Z",
     "shell.execute_reply": "2026-06-19T07:04:51.118930Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "FC(simulated BOLD) vs FC(empirical): correlation = 0.101\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x400 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sig = brainmass.datasets.load_dataset('example_signal')\n",
    "fc_target = sig.fc                                  # (N, N) \"empirical\" FC\n",
    "\n",
    "fc_corr = brainmass.objectives.fc_corr()            # builder -> callable(pred, target)\n",
    "score = float(fc_corr(bold_conv, fc_target))        # Pearson corr between the two FC matrices\n",
    "print(f\"FC(simulated BOLD) vs FC(empirical): correlation = {score:.3f}\")\n",
    "\n",
    "fig, axes = plt.subplots(1, 2, figsize=(9, 4))\n",
    "brainmass.viz.plot_functional_connectivity(bold_conv, labels=labels, ax=axes[0])\n",
    "axes[0].set_title(\"Simulated BOLD FC\")\n",
    "brainmass.viz.plot_functional_connectivity(fc_target, is_matrix=True, labels=labels, ax=axes[1])\n",
    "axes[1].set_title(\"Empirical FC (target)\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3d1a4da5",
   "metadata": {},
   "source": [
    "That single scalar -- the FC correlation -- is exactly the kind of *summary* objective the\n",
    "fitter minimises. Driving it up by adjusting model parameters is the subject of the next\n",
    "tutorial.\n",
    "\n",
    "## Summary\n",
    "\n",
    "- A **forward model** maps hidden neural dynamics to an observable signal.\n",
    "- {class}`~brainmass.HRFBold` (fast, differentiable convolution) and\n",
    "  {class}`~brainmass.BOLDSignal` (Balloon--Windkessel ODE) both turn neural activity into\n",
    "  **BOLD**; pick the former for fitting, the latter for biophysical realism.\n",
    "- {class}`~brainmass.EEGLeadFieldModel` and {class}`~brainmass.LeadFieldModel` project a\n",
    "  cortical source to **EEG (volts)** and **MEG (tesla)** through a unit-aware lead field.\n",
    "- {mod}`brainmass.objectives` turns a prediction-vs-data comparison (e.g. FC correlation) into\n",
    "  a single scalar -- the bridge to fitting.\n",
    "\n",
    "## Next steps\n",
    "\n",
    "- {doc}`/tutorials/06_fitting_with_gradients` -- fit model parameters to an observed signal by\n",
    "  backpropagating through the solve.\n",
    "- {doc}`/tutorials/07_gradient_free_fitting` -- the same fit with gradient-free search.\n",
    "- {doc}`/reference/forward` -- complete forward-model and lead-field API.\n",
    "- {doc}`/reference/observation` -- HRF kernels and observation models."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.11"
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 },
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}
