{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "a70281ea-dc8a-4a32-8a16-7acea5efa857",
   "metadata": {},
   "source": [
    "# Generate Perfusion Maps\n",
    "\n",
    "This tutorials present a step-by-step set of instructions on how to generate the required perfusion maps (Time-To-Peak, Mean Transit Time, Cerebral Blood Flow and Cerebral Blood Volume), on a specified DCE-MRI and its corresponding tumor mask."
   ]
  },
  {
   "attachments": {
    "Perfusion_curve-2.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "6d8095da",
   "metadata": {},
   "source": [
    "![Perfusion_curve-2.png](attachment:Perfusion_curve-2.png)"
   ]
  },
  {
   "attachments": {
    "PMaps.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "eb8a19f0-1de2-4292-ad9a-0c0cb1824a45",
   "metadata": {},
   "source": [
    "![PMaps.png](attachment:PMaps.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6435df3e-de83-4efe-8fbc-40fd7485c0fb",
   "metadata": {},
   "source": [
    "First, we define the set of functions to generate the perfusion maps:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "258a3276-34f6-466f-9bdc-429b741c1c42",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-21T05:56:24.648415100Z",
     "start_time": "2023-07-21T05:56:24.387763500Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import SimpleITK as sitk\n",
    "import copy\n",
    "import importlib"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fa880b23-b1b3-4fdf-8546-ccd068f04166",
   "metadata": {},
   "source": [
    "## TTP Map\n",
    "\n",
    "$TTP=argmax_t(DCE MRI_(x,y,z,t))$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a78250b2-aa5d-4d86-94c8-7b0bc775c0a7",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def extract_ttp(array,acc=\"argmax\"):\n",
    "    temporal_axis = np.argmin(array.shape)\n",
    "    \n",
    "    \n",
    "    m = importlib.import_module(\"numpy\")\n",
    "    acc_fn = getattr(m, acc)\n",
    "    \n",
    "    ttp_array = acc_fn(array, axis=temporal_axis).astype(np.uint8)\n",
    "    ttp_array = ttp_array + 1\n",
    "    ttp_array = np.where(ttp_array > array.shape[temporal_axis],  array.shape[temporal_axis], ttp_array)\n",
    "\n",
    "    return ttp_array\n",
    "\n",
    "def generate_ttp_image(image_filename, mask_filename, output_filename):\n",
    "\n",
    "    image = sitk.ReadImage(image_filename)\n",
    "    mask = sitk.ReadImage(mask_filename)\n",
    "\n",
    "    mask_array = sitk.GetArrayFromImage(mask)\n",
    "\n",
    "    ttp_array= extract_ttp(sitk.GetArrayFromImage(image))\n",
    "    ttp_array = np.where(mask_array == 0, mask_array, ttp_array)\n",
    "\n",
    "    ttp_image = sitk.GetImageFromArray(ttp_array)\n",
    "    ttp_image.CopyInformation(mask)\n",
    "    sitk.WriteImage(ttp_image, output_filename)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c7b2620-2909-4e9f-afc0-94c4fda25bec",
   "metadata": {},
   "source": [
    "## CBV Map\n",
    "\n",
    "$CBV=\\sum_{t=0}^n DCEMRI_(x,y,z,t)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8f95c5e2-05dd-4870-a5ba-2dc628a93595",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def extract_cbv(array):\n",
    "    temporal_axis = np.argmin(array.shape)\n",
    "    cbv_map = np.sum(array, axis=temporal_axis)\n",
    "\n",
    "    return cbv_map\n",
    "\n",
    "def generate_cbv_image(image_filename, mask_filename, output_filename):\n",
    "    image = sitk.ReadImage(image_filename)\n",
    "    mask = sitk.ReadImage(mask_filename)\n",
    "    image_array = sitk.GetArrayFromImage(image)\n",
    "    mask_array = sitk.GetArrayFromImage(mask)\n",
    "\n",
    "    cbv_map = extract_cbv(image_array)\n",
    "    cbv_map = cbv_map*mask_array\n",
    "    cbv_image = sitk.GetImageFromArray(cbv_map)\n",
    "    cbv_image.CopyInformation(mask)\n",
    "    sitk.WriteImage(cbv_image, output_filename)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1b72ff06-b8fd-465a-9687-43c08ec8ec86",
   "metadata": {},
   "source": [
    "## CBF Map\n",
    "\n",
    "$CBF = max(\\frac{\\nabla DCEMRI_(x,y,z,t)}{\\nabla t})$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d0c47c4e-2dee-452a-9c38-3ac3dabc96b5",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def extract_cbf(array,acc=\"max\"):\n",
    "    temporal_axis = np.argmin(array.shape)\n",
    "\n",
    "    if temporal_axis !=0:\n",
    "        array = np.transpose(array,(temporal_axis,0,1,2))\n",
    "    gradient_image = copy.deepcopy(array)\n",
    "\n",
    "    t_size = gradient_image.shape[0]\n",
    "\n",
    "    for t in range(1,t_size):\n",
    "        gradient_image[t,:] = array[t,:] - array[t-1,:]\n",
    "    gradient_image[0, :] = 0\n",
    "\n",
    "    m = importlib.import_module(\"numpy\")\n",
    "    acc_fn = getattr(m, acc)\n",
    "\n",
    "    cbf_map = acc_fn(gradient_image, axis=0)\n",
    "\n",
    "    return cbf_map\n",
    "\n",
    "def generate_cbf_image(image_filename, mask_filename, output_filename):\n",
    "    image = sitk.ReadImage(image_filename)\n",
    "    mask = sitk.ReadImage(mask_filename)\n",
    "    image_array = sitk.GetArrayFromImage(image)\n",
    "    mask_array = sitk.GetArrayFromImage(mask)\n",
    "\n",
    "    cbf_map =extract_cbf(image_array)\n",
    "    cbf_map = cbf_map*mask_array\n",
    "    cbf_image = sitk.GetImageFromArray(cbf_map)\n",
    "    cbf_image.CopyInformation(mask)\n",
    "    sitk.WriteImage(cbf_image, output_filename)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "501d5eb0-b4a9-4c2c-8646-bf4c1793f635",
   "metadata": {},
   "source": [
    "## MTT Map\n",
    "\n",
    "$MTT = \\frac{CBV}{CBF}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ae167a36-3478-45a3-8282-95be43032800",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def extract_mtt(array, acc=\"max\"):\n",
    "    temporal_axis = np.argmin(array.shape)\n",
    "\n",
    "    if temporal_axis != 0:\n",
    "        array = np.transpose(array, (temporal_axis, 0, 1, 2))\n",
    "\n",
    "    gradient_image = copy.deepcopy(array)\n",
    "    t_size = gradient_image.shape[0]\n",
    "    for t in range(1, t_size):\n",
    "        gradient_image[t, :] = array[t, :] - array[t - 1, :]\n",
    "    gradient_image[0, :] = 0\n",
    "    \n",
    "    m = importlib.import_module(\"numpy\")\n",
    "    acc_fn = getattr(m, acc)\n",
    "    cbf_map = acc_fn(gradient_image, axis=0).astype(float)\n",
    "    cbv_map = np.sum(array, axis=0).astype(float)\n",
    "\n",
    "    mtt_map = np.divide(cbv_map, cbf_map,out=np.zeros_like(cbv_map), where=cbf_map != 0)\n",
    "\n",
    "    return mtt_map\n",
    "\n",
    "def generate_mtt_image(image_filename, mask_filename, output_filename):\n",
    "    image = sitk.ReadImage(image_filename)\n",
    "    mask = sitk.ReadImage(mask_filename)\n",
    "    image_array = sitk.GetArrayFromImage(image)\n",
    "    mask_array = sitk.GetArrayFromImage(mask)\n",
    "\n",
    "    mtt_map = extract_mtt(image_array)\n",
    "    mtt_map = mtt_map*mask_array\n",
    "    mtt_image = sitk.GetImageFromArray(mtt_map)\n",
    "    mtt_image.CopyInformation(mask)\n",
    "    sitk.WriteImage(mtt_image, output_filename)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9d488c9c-4b5c-4491-aa4f-1322d12d8cf4",
   "metadata": {},
   "source": [
    "## Select DCE-MRI Sample"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "cf9137ee-427b-4fdf-a9da-5dce18a7c735",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "data_folder = \"Data/DCE_MRI_dataset\"\n",
    "image_suffix = \"_cropped.nii.gz\" \n",
    "mask_suffix = \"_mask.nii.gz\"\n",
    "patient_class = \"pCR\"\n",
    "patient_id = \"Patient09\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "89f7e740-5e73-47fd-baba-3a28bbe442a8",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from pathlib import Path\n",
    "\n",
    "image_filename = str(Path(data_folder).joinpath(patient_class, patient_id,patient_id+image_suffix))\n",
    "mask_filename = str(Path(data_folder).joinpath(patient_class,patient_id, patient_id+mask_suffix))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a98e1024-8d66-4606-a470-e82722b9fb2c",
   "metadata": {},
   "source": [
    "### Create Perfusion Maps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c1f090c6-8baf-45e2-bcf8-227660579bcc",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import tempfile\n",
    "\n",
    "\n",
    "temp_dir = tempfile.TemporaryDirectory()\n",
    "generate_mtt_image(image_filename,mask_filename,str(Path(temp_dir.name).joinpath(patient_id+\"_mtt.nii.gz\")))\n",
    "generate_ttp_image(image_filename,mask_filename,str(Path(temp_dir.name).joinpath(patient_id+\"_ttp.nii.gz\")))\n",
    "generate_cbv_image(image_filename,mask_filename,str(Path(temp_dir.name).joinpath(patient_id+\"_cbv.nii.gz\")))\n",
    "generate_cbf_image(image_filename,mask_filename,str(Path(temp_dir.name).joinpath(patient_id+\"_cbf.nii.gz\")))\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "72e4ae7e-e548-4f36-be69-3e442b362826",
   "metadata": {},
   "source": [
    "## Visualize Map"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b897bfc2-cb58-4781-8593-2cd37a926ab2",
   "metadata": {},
   "outputs": [],
   "source": [
    "!pip install itk\n",
    "!pip install \"itkwidgets[all]>=1.0a23\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "4f34ebfc-6a84-461d-b4c4-5c7478bf1081",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <img id=\"screenshot_imjoy_window_cc386686-7267-4bdd-b914-fa80c23f455d\" src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABGwAAAJYCAYAAAA3y3DdAAAgAElEQVR4Xu3dTYvd5RnA4SfEqLUqUaxRq/VQX1sFbSkIushAodC90E0h236C7krIop+jzBfovgthArrooiLU11bxgPWtpkWNRk3V9DljoqNVjDVOfuZcgUNiHJ17rvte/fjPnD2HDx8+NfwiQIAAAQIECBAgQIAAAQIECBDICOwRbDK7MAgBAgQIECBAgAABAgQIECBAYFtAsHEIBAgQIECAAAECBAgQIECAAIGYgGATW4hxCBAgQIAAAQIECBAgQIAAAQKCjRsgQIAAAQIECBAgQIAAAQIECMQEBJvYQoxDgAABAgQIECBAgAABAgQIEBBs3AABAgQIECBAgAABAgQIECBAICYg2MQWYhwCBAgQIECAAAECBAgQIECAgGDjBggQIECAAAECBAgQIECAAAECMQHBJrYQ4xAgQIAAAQIECBAgQIAAAQIEBBs3QIAAAQIECBAgQIAAAQIECBCICQg2sYUYhwABAgQIECBAgAABAgQIECAg2LgBAgQIECBAgAABAgQIECBAgEBMQLCJLcQ4BAgQIECAAAECBAgQIECAAAHBxg0QIECAAAECBAgQIECAAAECBGICgk1sIcYhQIAAAQIECBAgQIAAAQIECAg2boAAAQIECBAgQIAAAQIECBAgEBMQbGILMQ4BAgQIECBAgAABAgQIECBAQLBxAwQIECBAgAABAgQIECBAgACBmIBgE1uIcQgQIECAAAECBAgQIECAAAECgo0bIECAAAECBAgQIECAAAECBAjEBASb2EKMQ4AAAQIECBAgQIAAAQIECBAQbNwAAQIECBAgQIAAAQIECBAgQCAmINjEFmIcAgQIECBAgAABAgQIECBAgIBg4wYIECBAgAABAgQIECBAgAABAjEBwSa2EOMQIECAAAECBAgQIECAAAECBAQbN0CAAAECBAgQIECAAAECBAgQiAkINrGFGIcAAQIECBAgQIAAAQIECBAgINi4AQIECBAgQIAAAQIECBAgQIBATECwiS3EOAQIECBAgAABAgQIECBAgAABwcYNECBAgAABAgQIECBAgAABAgRiAoJNbCHGIUCAAAECBAgQIECAAAECBAgINm6AAAECBAgQIECAAAECBAgQIBATEGxiCzEOAQIECBAgQIAAAQIECBAgQECwcQMECBAgQIAAAQIECBAgQIAAgZiAYBNbiHEIECBAgAABAgQIECBAgAABAoKNGyBAgAABAgQIECBAgAABAgQIxAQEm9hCjEOAAAECBAgQIECAAAECBAgQEGzcAAECBAgQIECAAAECBAgQIEAgJiDYxBZiHAIECBAgQIAAAQIECBAgQICAYOMGCBAgQIAAAQIECBAgQIAAAQIxAcEmthDjECBAgAABAgQIECBAgAABAgQEGzdAgAABAgQIECBAgAABAgQIEIgJCDaxhRiHAAECBAgQIECAAAECBAgQICDYuAECBAgQIECAAAECBAgQIECAQExAsIktxDgECBAgQIAAAQIECBAgQIAAAcHGDRAgQIAAAQIECBAgQIAAAQIEYgKCTWwhxiFAgAABAgQIECBAgAABAgQICDZugAABAgQIECBAgAABAgQIECAQExBsYgsxDgECBAgQIECAAAECBAgQIEBAsHEDBAgQIECAAAECBAgQIECAAIGYgGATW4hxCBAgQIAAAQIECBAgQIAAAQKCjRsgQIAAAQIECBAgQIAAAQIECMQEBJvYQoxDgAABAgQIECBAgAABAgQIEBBs3AABAgQIECBAgAABAgQIECBAICYg2MQWYhwCBAgQIECAAAECBAgQIECAgGDjBggQIECAAAECBAgQIECAAAECMQHBJrYQ4xAgQIAAAQIECBAgQIAAAQIEBBs3QIAAAQIECBAgQIAAAQIECBCICQg2sYUYhwABAgQIECBAgAABAgQIECAg2LgBAgQIECBAgAABAgQIECBAgEBMQLCJLcQ4BAgQIECAAAECBAgQIECAAAHBxg0QIECAAAECBAgQIECAAAECBGICgk1sIcYhQIAAAQIECBAgQIAAAQIECAg2boAAAQIECBAgQIAAAQIECBAgEBMQbGILMQ4BAgQIECBAgAABAgQIECBAQLBxAwQIECBAgAABAgQIECBAgACBmIBgE1uIcQgQIECAAAECBAgQIECAAAECgo0bIECAAAECBAgQIECAAAECBAjEBASb2EKMQ4AAAQIECBAgQIAAAQIECBAQbNwAAQIECBAgQIAAAQIECBAgQCAmINjEFmIcAgQIECBAgAABAgQIECBAgIBg4wYIECBAgAABAgQIECBAgAABAjEBwSa2EOMQIECAAAECBAgQIECAAAECBAQbN0CAAAECBAgQIECAAAECBAgQiAkINrGFGIcAAQIECBAgQIAAAQIECBAgINi4AQIECBAgQIAAAQIECBAgQIBATECwiS3EOAQIECBAgAABAgQIECBAgAABwcYNECBAgAABAgQIECBAgAABAgRiAoJNbCHGIUCAAAECBAgQIECAAAECBAgINm6AAAECBAgQIECAAAECBAgQIBATEGxiCzEOAQIECBAgQIAAAQIECBAgQECwcQMECBAgQIAAAQIECBAgQIAAgZiAYBNbiHEIECBAgAABAgQIECBAgAABAoKNGyBAgAABAgQIECBAgAABAgQIxAQEm9hCjEOAAAECBAgQIECAAAECBAgQEGzcAAECBAgQIECAAAECBAgQIEAgJiDYxBZiHAIECBAgQIAAAQIECBAgQICAYOMGCBAgQIAAAQIECBAgQIAAAQIxAcEmthDjECBAgAABAgQIECBAgAABAgQEGzdAgAABAgQIECBAgAABAgQIEIgJCDaxhRiHAAECBAgQIECAAAECBAgQICDYuAECBAgQIECAAAECBAgQIECAQExAsIktxDgECBAgQIAAAQIECBAgQIAAAcHGDRAgQIAAAQIECBAgQIAAAQIEYgKCTWwhxiFAgAABAgQIECBAgAABAgQICDZugAABAgQIECBAgAABAgQIECAQExBsYgsxDgECBAgQIECAAAECBAgQIEBAsHEDBAgQIECAAAECBAgQIECAAIGYgGATW4hxCBAgQIAAAQIECBAgQIAAAQKCjRsgQIAAAQIECBAgQIAAAQIECMQEBJvYQoxDgAABAgQIECBAgAABAgQIEBBs3AABAgQIECBAgAABAgQIECBAICYg2MQWYhwCBAgQIECAAAECBAgQIECAgGDjBggQIECAAAECBAgQIECAAAECMQHBJrYQ4xAgQIAAAQIECBAgQIAAAQIEBBs3QIAAAQIECBAgQIAAAQIECBCICQg2sYUYhwABAgQIECBAgAABAgQIECAg2LgBAgQIECBAgAABAgQIECBAgEBMQLCJLcQ4BAgQIECAAAECBAgQIECAAAHBxg0QIECAAAECBAgQIECAAAECBGICgk1sIcYhQIAAAQIECBAgQIAAAQIECAg2boAAAQIECBAgQIAAAQIECBAgEBMQbGILMQ4BAgQIECBAgAABAgQIECBAQLBxAwQIECBAgAABAgQIECBAgACBmIBgE1uIcQgQIECAAAECBAgQIECAAAECgo0bIECAAAECBAgQIECAAAECBAjEBASb2EKMQ4AAAQIECBAgQIAAAQIECBAQbNwAAQIECBAgQIAAAQIECBAgQCAmINjEFmIcAgQIECBAgAABAgQIECBAgIBg4wYIECBAgAABAgQIECBAgAABAjEBwSa2EOMQIECAAAECBAgQIECAAAECBAQbN0CAAAECBAgQIECAAAECBAgQiAkINrGFGIcAAQIECBAgQIAAAQIECBAgINi4AQIECBAgQIAAAQIECBAgQIBATECwiS3EOAQIECBAgAABAgQIECBAgAABwcYNECBAgAABAgQIECBAgAABAgRiAoJNbCHGIUCAAAECBAgQIECAAAECBAgINm6AAAECBAgQIECAAAECBAgQIBATEGxiCzEOAQIECBAgQIAAAQIECBAgQECwcQMECBAgQIAAAQIECBAgQIAAgZiAYBNbiHEIECBAgAABAgQIECBAgAABAoKNGyBAgAABAgQIECBAgAABAgQIxAQEm9hCjEOAAAECBAgQIECAAAECBAgQEGzcAAECBAgQIECAAAECBAgQIEAgJiDYxBZiHAIECBAgQIAAAQIECBAgQICAYOMGCBAgQIAAAQIECBAgQIAAAQIxAcEmthDjECBAgAABAgQIECBAgAABAgQEGzdAgAABAgQIECBAgAABAgQIEIgJCDaxhRiHAAECBAgQIECAAAECBAgQICDYuAECBAgQIECAAAECBAgQIECAQExAsIktxDgECBAgQIAAAQIECBAgQIAAAcHGDRAgQIAAAQIECBAgQIAAAQIEYgKCTWwhxiFAgAABAgQIECBAgAABAgQICDZugAABAgQIECBAgAABAgQIECAQExBsYgsxDgECBAgQIECAAAECBAgQIEBAsHEDBAgQIECAAAECBAgQIECAAIGYgGATW4hxCBAgQIAAAQIECBAgQIAAAQKCjRsgQIAAAQIECBAgQIAAAQIECMQEBJvYQoxDgAABAgQIECBAgAABAgQIEBBs3AABAgQIECBAgAABAgQIECBAICYg2MQWYhwCBAgQIECAAAECBAgQIECAgGDjBggQIECAAAECBAgQIECAAAECMQHBJrYQ4xAgQIAAAQIECBAgQIAAAQIEBBs3QIAAAQIECBAgQIAAAQIECBCICQg2sYUYhwABAgQIECBAgAABAgQIECAg2LgBAgQIECBAgAABAgQIECBAgEBMQLCJLcQ4BAgQIECAAAECBAgQIECAAAHBxg0QIECAAAECBAgQIECAAAECBGICgk1sIcYhQIAAAQIECBAgQIAAAQIECAg2boAAAQIECBAgQIAAAQIECBAgEBMQbGILMQ4BAgQIECBAgAABAgQIECBAQLBxAwQIECBAgAABAgQIECBAgACBmIBgE1uIcQgQIECAAAECBAgQIECAAAECgo0bIECAAAECBAgQIECAAAECBAjEBASb2EKMQ4AAAQIECBAgQIAAAQIECBAQbNwAAQIECBAgQIAAAQIECBAgQCAmINjEFmIcAgQIECBAgAABAgQIECBAgIBg4wYIECBAgAABAgQIECBAgAABAjEBwSa2EOMQIECAAAECBAgQIECAAAECBAQbN0CAAAECBAgQIECAAAECBAgQiAkINrGFGIcAAQIECBAgQIAAAQIECBAgINi4AQIECBAgQIAAAQIECBAgQIBATECwiS3EOAQIECBAgAABAgQIECBAgAABwcYNECBAgAABAgQIECBAgAABAgRiAoJNbCHGIUCAAAECBAgQIECAAAECBAgINm6AAAECBAgQIECAAAECBAgQIBATEGxiCzEOAQIECBAgQIAAAQIECBAgQECwcQMECBAgQIAAAQIECBAgQIAAgZiAYBNbiHEIECBAgAABAgQIECBAgAABAoKNGyBAgAABAgQIECBAgAABAgQIxAQEm9hCjEOAAAECBAgQIECAAAECBAgQEGzcAAECBAgQIECAAAECBAgQIEAgJiDYxBZiHAIECBAgQIAAAQIECBAgQICAYOMGCBAgQIAAAQIECBAgQIAAAQIxAcEmthDjECBAgAABAgQIECBAgAABAgQEGzdAgAABAgQIECBAgAABAgQIEIgJCDaxhRiHAAECBAgQIECAAAECBAgQICDYuAECBAgQIECAAAECBAgQIECAQExAsIktxDgECBAgQIAAAQIECBAgQIAAAcHGDRAgQIAAAQIECBAgQIAAAQIEYgKCTWwhxiFAgAABAgQIECBAgAABAgQICDZugAABAgQIECBAgAABAgQIECAQExBsYgsxDgECBAgQIECAAAECBAgQIEBAsHEDBAgQIECAAAECBAgQIECAAIGYgGATW4hxCBAgQIAAAQIECBAgQIAAAQKCjRsgQIAAAQIECBAgQIAAAQIECMQEBJvYQoxDgAABAgQIECBAgAABAgQIEBBs3AABAgQIECBAgAABAgQIECBAICYg2MQWYhwCBAgQIECAAAECBAgQIECAgGDjBggQIECAAAECBAgQIECAAAECMQHBJrYQ4xAgQIAAAQIECBAgQIAAAQIEBBs3QIAAAQIECBAgQIAAAQIECBCICQg2sYUYhwABAgQIECBAgAABAgQIECAg2LgBAgQIECBAgAABAgQIECBAgEBMQLCJLcQ4BAgQIECAAAECBAgQIECAAAHBxg0QIECAAAECBAgQIECAAAECBGICgk1sIcYhQIAAAQIECBAgQIAAAQIECAg2boAAAQIECBAgQIAAAQIECBAgEBMQbGILMQ4BAgQIECBAgAABAgQIECBAQLBxAwQIECBAgAABAgQIECBAgACBmIBgE1uIcQgQIECAAAECBAgQIECAAAECgo0bIECAAAECBAgQIECAAAECBAjEBASb2EKMQ4AAAQIECBAgQIAAAQIECBAQbNwAAQIECBAgQIAAAQIECBAgQCAmINjEFmIcAgQIECBAgAABAgQIECBAgIBg4wYIECBAgAABAgQIECBAgAABAjEBwSa2EOMQIECAAAECBAgQIECAAAECBAQbN0CAAAECBAgQIECAAAECBAgQiAkINrGFGIcAAQIECBAgQIAAAQIECBAgINi4AQIECBAgQIAAAQIECBAgQIBATECwiS3EOAQIECBAgAABAgQIECBAgAABwcYNECBAgAABAgQIECBAgAABAgRiAoJNbCHGIUCAAAECBAgQIECAAAECBAgINm6AAAECBAgQIECAAAECBAgQIBATEGxiCzEOAQIECBAgQIAAAQIECBAgQECwcQMECBAgQIAAAQIECBAgQIAAgZiAYBNbiHEIECBAgAABAgQIECBAgAABAoKNGyBAgAABAgQIECBAgAABAgQIxAQEm9hCjEOAAAECBAgQIECAAAECBAgQEGzcAAECBAgQIECAAAECBAgQIEAgJiDYxBZiHAIECBAgQIAAAQIECBAgQICAYOMGCBAgQIAAAQIECBAgQIAAAQIxAcEmthDjECBAgAABAgQIECBAgAABAgQEGzdAgAABAgQIECBAgAABAgQIEIgJCDaxhRiHAAECBAgQIECAAAECBAgQICDYuAECBAgQIECAAAECBAgQIECAQExAsIktxDgECBAgQIAAAQIECBAgQIAAAcHGDRAgQIAAAQIECBAgQIAAAQIEYgKCTWwhxiFAgAABAgQIECBAgAABAgQICDZugAABAgQIECBAgAABAgQIECAQExBsYgsxDgECBAgQIECAAAECBAgQIEBAsHEDBAgQIECAAAECBAgQIECAAIGYgGATW4hxCBAgQIAAAQIECBAgQIAAAQKCjRsgQIAAAQIECBAgQIAAAQIECMQEBJvYQoxDgAABAgQIECBAgAABAgQIEBBs3AABAgQIECBAgAABAgQIECBAICYg2MQWYhwCBAgQIECAAAECBAgQIECAgGDjBggQIECAAAECBAgQIECAAAECMQHBJrYQ4xAgQIAAAQIECBAgQIAAAQIEBBs3QIAAAQIECBAgQIAAAQIECBCICQg2sYUYhwABAgQIECBAgAABAgQIECAg2LgBAgQIECBAgAABAgQIECBAgEBMQLCJLcQ4BAgQIECAAAECBAgQIECAAAHBxg0QIECAAAECBAgQIECAAAECBGICgk1sIcYhQIAAAQIECBAgQIAAAQIECAg2boAAAQIECBAgQIAAAQIECBAgEBMQbGILMQ4BAgQIECBAgAABAgQIECBAQLBxAwQIECBAgAABAgQIECBAgACBmIBgE1uIcQgQIECAAAECBAgQIECAAAECgo0bIECAAAECBAgQIECAAAECBAjEBASb2EKMQ4AAAQIECBAgQIAAAQIECBAQbNwAAQIECBAgQIAAAQIECBAgQCAmINjEFmIcAgQIECBAgAABAgQIECBAgIBg4wYIECBAgAABAgQIECBAgAABAjEBwSa2EOMQIECAAAECBAgQIECAAAECBAQbN0CAAAECBAgQIECAAAECBAgQiAkINrGFGIcAAQIECBAgQIAAAQIECBAgINi4AQIECBAgQIAAAQIECBAgQIBATECwiS3EOAQIECBAgAABAgQIECBAgAABwcYNECBAgAABAgQIECBAgAABAgRiAoJNbCHGIUCAAAECBAgQIECAAAECBAgINm6AAAECBAgQIECAAAECBAgQIBATEGxiCzEOAQIECBAgQIAAAQIECBAgQECwcQMECBAgQIAAAQIECBAgQIAAgZiAYBNbiHEIECBAgAABAgQIECBAgAABAoKNGyBAgAABAgQIECBAgAABAgQIxAQEm9hCjEOAAAECBAgQIECAAAECBAgQEGzcAAECBAgQIECAAAECBAgQIEAgJiDYxBZiHAIECBAgQIAAAQIECBAgQICAYOMGCBAgQIAAAQIECBAgQIAAAQIxAcEmthDjECBAgAABAgQIECBAgAABAgQEGzdAgAABAgQIECBAgAABAgQIEIgJCDaxhRiHAAECBAgQIECAAAECBAgQICDYuAECBAgQIECAAAECBAgQIECAQExAsIktxDgECBAgQIAAAQIECBAgQIAAAcHGDRAgQIAAAQIECBAgQIAAAQIEYgKCTWwhxiFAgAABAgQIECBAgAABAgQICDZugAABAgQIECBAgAABAgQIECAQExBsYgsxDgECBAgQIECAAAECBAgQIEBAsHEDBAgQIECAAAECBAgQIECAAIGYgGATW4hxCBAgQIAAAQIECBAgQIAAAQKCjRsgQIAAAQIECBAgQIAAAQIECMQEBJvYQoxDgAABAgQIECBAgAABAgQIEBBs3AABAgQIECBAgAABAgQIECBAICYg2MQWYhwCBAgQIECAAAECBAgQIECAgGDjBggQIECAAAECBAgQIECAAAECMQHBJrYQ4xAgQIAAAQIECBAgQIAAAQIEBBs3QIAAAQIECBAgQIAAAQIECBCICQg2sYUYhwABAgQIECBAgAABAgQIECAg2LgBAgQIECBAgAABAgQIECBAgEBMQLCJLcQ4BAgQIECAAAECBAgQIECAAAHBxg0QIECAAAECBAgQIECAAAECBGICgk1sIcYhQIAAAQIECBAgQIAAAQIECAg2boAAAQIECBAgQIAAAQIECBAgEBMQbGILMQ4BAgQIECBAgAABAgQIECBAQLBxAwQIECBAgAABAgQIECBAgACBmIBgE1uIcQgQIECAAAECBAgQIECAAAECgo0bIECAAAECBAgQIECAAAECBAjEBASb2EKMQ4AAAQIECBAgQIAAAQIECBAQbNwAAQIECBAgQIAAAQIECBAgQCAmINjEFmIcAgQIECBAgAABAgQIECBAgIBg4wYIECBAgAABAgQIECBAgAABAjEBwSa2EOMQIECAAAECBAgQIECAAAECBAQbN0CAAAECBAgQIECAAAECBAgQiAkINrGFGIcAAQIECBAgQIAAAQIECBAgINi4AQIECBAgQIAAAQIECBAgQIBATECwiS3EOAQIECBAgAABAgQIECBAgAABwcYNECBAgAABAgQIECBAgAABAgRiAoJNbCHGIUCAAAECBAgQIECAAAECBAgINm6AAAECBAgQIECAAAECBAgQIBATEGxiCzEOAQIECBAgQIAAAQIECBAgQECwcQMECBAgQIAAAQIECBAgQIAAgZiAYBNbiHEIECBAgAABAgQIECBAgAABAoKNGyBAgAABAgQIECBAgAABAgQIxAQEm9hCjEOAAAECBAgQIECAAAECBAgQEGzcAAECBAgQIECAAAECBAgQIEAgJiDYxBZiHAIECBAgQIAAAQIECBAgQICAYOMGCBAgQIAAAQIECBAgQIAAAQIxAcEmthDjECBAgAABAgQIECBAgAABAgQEGzdAgAABAgQIECBAgAABAgQIEIgJCDaxhRiHAAECBAgQIECAAAECBAgQICDYuAECBAgQIECAAAECBAgQIECAQExAsIktxDgECBAgQIAAAQIECBAgQIAAAcHGDRAgQIAAAQIECBAgQIAAAQIEYgKCTWwhxiFAgAABAgQIECBAgAABAgQICDZugAABAgQIECBAgAABAgQIECAQExBsYgsxDgECBAgQIECAAAECBAgQIEBAsHEDBAgQIECAAAECBAgQIECAAIGYgGATW4hxCBAgQIAAAQIECBAgQIAAAQKCjRsgQIAAAQIECBAgQIAAAQIECMQEBJvYQoxDgAABAgQIECBAgAABAgQIEBBs3AABAgQIECBAgAABAgQIECBAICYg2MQWYhwCBAgQIECAAAECBAgQIECAgGDjBggQIECAAAECBAgQIECAAAECMQHBJrYQ4xAgQIAAAQIECBAgQIAAAQIEBBs3QIAAAQIECBAgQIAAAQIECBCICQg2sYUYhwABAgQIECBAgAABAgQIECAg2LgBAgQIECBAgAABAgQIECBAgEBMQLCJLcQ4BAgQIECAAAECBAgQIECAAAHBxg0QIECAAAECBAgQIECAAAECBGICgk1sIcYhQIAAAQIECBAgQIAAAQIECAg2boAAAQIECBAgQIAAAQIECBAgEBMQbGILMQ4BAgQIECBAgAABAgQIECBAQLBxAwQIECBAgAABAgQIECBAgACBmIBgE1uIcQgQIECAAAECBAgQIECAAAECgo0bIECAAAECBAgQIECAAAECBAjEBASb2EKMQ4AAAQIECBAgQIAAAQIECBAQbNwAAQIECBAgQIAAAQIECBAgQCAmINjEFmIcAgQIECBAgAABAgQIECBAgIBg4wYIECBAgAABAgQIECBAgAABAjEBwSa2EOMQIECAAAECBAgQIECAAAECBAQbN0CAAAECBAgQIECAAAECBAgQiAkINrGFGIcAAQIECBAgQIAAAQIECBAgINi4AQIECBAgQIAAAZp68oYAABhrSURBVAIECBAgQIBATECwiS3EOAQIECBAgAABAgQIECBAgAABwcYNECBAgAABAgQIECBAgAABAgRiAoJNbCHGIUCAAAECBAgQIECAAAECBAgINm6AAAECBAgQIECAAAECBAgQIBATEGxiCzEOAQIECBAgQIAAAQIECBAgQECwcQMECBAgQIAAAQIECBAgQIAAgZiAYBNbiHEIECBAgAABAgQIECBAgAABAoKNGyBAgAABAgQIECBAgAABAgQIxAQEm9hCjEOAAAECBAgQIECAAAECBAgQEGzcAAECBAgQIECAAAECBAgQIEAgJiDYxBZiHAIECBAgQIAAAQIECBAgQICAYOMGCBAgQIAAAQIECBAgQIAAAQIxAcEmthDjECBAgAABAgQIECBAgAABAgQEGzdAgAABAgQIECBAgAABAgQIEIgJCDaxhRiHAAECBAgQIECAAAECBAgQICDYuAECBAgQIECAAAECBAgQIECAQExAsIktxDgECBAgQIAAAQIECBAgQIAAAcHGDRAgQIAAAQIECBAgQIAAAQIEYgKCTWwhxiFAgAABAgQIECBAgAABAgQICDZugAABAgQIECBAgAABAgQIECAQExBsYgsxDgECBAgQIECAAAECBAgQIEBAsHEDBAgQIECAAAECBAgQIECAAIGYgGATW4hxCBAgQIAAAQIECBAgQIAAAQKCjRsgQIAAAQIECBAgQIAAAQIECMQEBJvYQoxDgAABAgQIECBAgAABAgQIEBBs3AABAgQIECBAgAABAgQIECBAICYg2MQWYhwCBAgQIECAAAECBAgQIECAgGDjBggQIECAAAECBAgQIECAAAECMQHBJrYQ4xAgQIAAAQIECBAgQIAAAQIEBBs3QIAAAQIECBAgQIAAAQIECBCICQg2sYUYhwABAgQIECBAgAABAgQIECAg2LgBAgQIECBAgAABAgQIECBAgEBMQLCJLcQ4BAgQIECAAAECBAgQIECAAAHBxg0QIECAAAECBAgQIECAAAECBGICgk1sIcYhQIAAAQIECBAgQIAAAQIECAg2boAAAQIECBAgQIAAAQIECBAgEBMQbGILMQ4BAgQIECBAgAABAgQIECBAQLBxAwQIECBAgAABAgQIECBAgACBmIBgE1uIcQgQIECAAAECBAgQIECAAAECgo0bIECAAAECBAgQIECAAAECBAjEBASb2EKMQ4AAAQIECBAgQIAAAQIECBAQbNwAAQIECBAgQIAAAQIECBAgQCAmINjEFmIcAgQIECBAgAABAgQIECBAgIBg4wYIECBAgAABAgQIECBAgAABAjEBwSa2EOMQIECAAAECBAgQIECAAAECBAQbN0CAAAECBAgQIECAAAECBAgQiAkINrGFGIcAAQIECBAgQIAAAQIECBAgINi4AQIECBAgQIAAAQIECBAgQIBATECwiS3EOAQIECBAgAABAgQIECBAgAABwcYNECBAgAABAgQIECBAgAABAgRiAoJNbCHGIUCAAAECBAgQIECAAAECBAgINm6AAAECBAgQIECAAAECBAgQIBATEGxiCzEOAQIECBAgQIAAAQIECBAgQECwcQMECBAgQIAAAQIECBAgQIAAgZiAYBNbiHEIECBAgAABAgQIECBAgAABAoKNGyBAgAABAgQIECBAgAABAgQIxAQEm9hCjEOAAAECBAgQIECAAAECBAgQEGzcAAECBAgQIECAAAECBAgQIEAgJiDYxBZiHAIECBAgQIAAAQIECBAgQICAYOMGCBAgQIAAAQIECBAgQIAAAQIxAcEmthDjECBAgAABAgQIECBAgAABAgQEGzdAgAABAgQIECBAgAABAgQIEIgJCDaxhRiHAAECBAgQIECAAAECBAgQICDYuAECBAgQIECAAAECBAgQIECAQExAsIktxDgECBAgQIAAAQIECBAgQIAAAcHGDRAgQIAAAQIECBAgQIAAAQIEYgKCTWwhxiFAgAABAgQIECBAgAABAgQICDZugAABAgQIECBAgAABAgQIECAQExBsYgsxDgECBAgQIECAAAECBAgQIEBAsHEDBAgQIECAAAECBAgQIECAAIGYgGATW4hxCBAgQIAAAQIECBAgQIAAAQKCjRsgQIAAAQIECBAgQIAAAQIECMQEBJvYQoxDgAABAgQIECBAgAABAgQIEBBs3AABAgQIECBAgAABAgQIECBAICYg2MQWYhwCBAgQIECAAAECBAgQIECAgGDjBggQIECAAAECBAgQIECAAAECMQHBJrYQ4xAgQIAAAQIECBAgQIAAAQIEBBs3QIAAAQIECBAgQIAAAQIECBCICQg2sYUYhwABAgQIECBAgAABAgQIECAg2LgBAgQIECBAgAABAgQIECBAgEBMQLCJLcQ4BAgQIECAAAECBAgQIECAAAHBxg0QIECAAAECBAgQIECAAAECBGICgk1sIcYhQIAAAQIECBAgQIAAAQIECAg2boAAAQIECBAgQIAAAQIECBAgEBMQbGILMQ4BAgQIECBAgAABAgQIECBAQLBxAwQIECBAgAABAgQIECBAgACBmIBgE1uIcQgQIECAAAECBAgQIECAAAECgo0bIECAAAECBAgQIECAAAECBAjEBASb2EKMQ4AAAQIECBAgQIAAAQIECBAQbNwAAQIECBAgQIAAAQIECBAgQCAmINjEFmIcAgQIECBAgAABAgQIECBAgIBg4wYIECBAgAABAgQIECBAgAABAjEBwSa2EOMQIECAAAECBAgQIECAAAECBAQbN0CAAAECBAgQIECAAAECBAgQiAkINrGFGIcAAQIECBAgQIAAAQIECBAgINi4AQIECBAgQIAAAQIECBAgQIBATECwiS3EOAQIECBAgAABAgQIECBAgAABwcYNECBAgAABAgQIECBAgAABAgRiAoJNbCHGIUCAAAECBAgQIECAAAECBAgINm6AAAECBAgQIECAAAECBAgQIBATEGxiCzEOAQIECBAgQIAAAQIECBAgQECwcQMECBAgQIAAAQIECBAgQIAAgZiAYBNbiHEIECBAgAABAgQIECBAgAABAoKNGyBAgAABAgQIECBAgAABAgQIxAQEm9hCjEOAAAECBAgQIECAAAECBAgQEGzcAAECBAgQIECAAAECBAgQIEAgJiDYxBZiHAIECBAgQIAAAQIECBAgQICAYOMGCBAgQIAAAQIECBAgQIAAAQIxAcEmthDjECBAgAABAgQIECBAgAABAgQEGzdAgAABAgQIECBAgAABAgQIEIgJCDaxhRiHAAECBAgQIECAAAECBAgQICDYuAECBAgQIECAAAECBAgQIECAQExAsIktxDgECBAgQIAAAQIECBAgQIAAAcHGDRAgQIAAAQIECBAgQIAAAQIEYgKCTWwhxiFAgAABAgQIECBAgAABAgQICDZugAABAgQIECBAgAABAgQIECAQExBsYgsxDgECBAgQIECAAAECBAgQIEBAsHEDBAgQIECAAAECBAgQIECAAIGYgGATW4hxCBAgQIAAAQIECBAgQIAAAQKCjRsgQIAAAQIECBAgQIAAAQIECMQEBJvYQoxDgAABAgQIECBAgAABAgQIEBBs3AABAgQIECBAgAABAgQIECBAICYg2MQWYhwCBAgQIECAAAECBAgQIECAgGDjBggQIECAAAECBAgQIECAAAECMQHBJrYQ4xAgQIAAAQIECBAgQIAAAQIEBBs3QIAAAQIECBAgQIAAAQIECBCICQg2sYUYhwABAgQIECBAgAABAgQIECAg2LgBAgQIECBAgAABAgQIECBAgEBMQLCJLcQ4BAgQIECAAAECBAgQIECAAAHBxg0QIECAAAECBAgQIECAAAECBGICgk1sIcYhQIAAAQIECBAgQIAAAQIECAg2boAAAQIECBAgQIAAAQIECBAgEBMQbGILMQ4BAgQIECBAgAABAgQIECBAQLBxAwQIECBAgAABAgQIECBAgACBmIBgE1uIcQgQIECAAAECBAgQIECAAAECgo0bIECAAAECBAgQIECAAAECBAjEBASb2EKMQ4AAAQIECBAgQIAAAQIECBAQbNwAAQIECBAgQIAAAQIECBAgQCAmINjEFmIcAgQIECBAgAABAgQIECBAgIBg4wYIECBAgAABAgQIECBAgAABAjEBwSa2EOMQIECAAAECBAgQIECAAAECBAQbN0CAAAECBAgQIECAAAECBAgQiAkINrGFGIcAAQIECBAgQIAAAQIECBAgINi4AQIECBAgQIAAAQIECBAgQIBATECwiS3EOAQIECBAgAABAgQIECBAgAABwcYNECBAgAABAgQIECBAgAABAgRiAoJNbCHGIUCAAAECBAgQIECAAAECBAgINm6AAAECBAgQIECAAAECBAgQIBATEGxiCzEOAQIECBAgQIAAAQIECBAgQECwcQMECBAgQIAAAQIECBAgQIAAgZiAYBNbiHEIECBAgAABAgQIECBAgAABAoKNGyBAgAABAgQIECBAgAABAgQIxAQEm9hCjEOAAAECBAgQIECAAAECBAgQEGzcAAECBAgQIECAAAECBAgQIEAgJiDYxBZiHAIECBAgQIAAAQIECBAgQICAYOMGCBAgQIAAAQIECBAgQIAAAQIxAcEmthDjECBAgAABAgQIECBAgAABAgQEGzdAgAABAgQIECBAgAABAgQIEIgJCDaxhRiHAAECBAgQIECAAAECBAgQICDYuAECBAgQIECAAAECBAgQIECAQExAsIktxDgECBAgQIAAAQIECBAgQIAAAcHGDRAgQIAAAQIECBAgQIAAAQIEYgKCTWwhxiFAgAABAgQIECBAgAABAgQICDZugAABAgQIECBAgAABAgQIECAQExBsYgsxDgECBAgQIECAAAECBAgQIEBAsHEDBAgQIECAAAECBAgQIECAAIGYgGATW4hxCBAgQIAAAQIECBAgQIAAAQKCjRsgQIAAAQIECBAgQIAAAQIECMQEBJvYQoxDgAABAgQIECBAgAABAgQIEBBs3AABAgQIECBAgAABAgQIECBAICYg2MQWYhwCBAgQIECAAAECBAgQIECAgGDjBggQIECAAAECBAgQIECAAAECMQHBJrYQ4xAgQIAAAQIECBAgQIAAAQIEBBs3QIAAAQIECBAgQIAAAQIECBCICQg2sYUYhwABAgQIECBAgAABAgQIECAg2LgBAgQIECBAgAABAgQIECBAgEBMQLCJLcQ4BAgQIECAAAECBAgQIECAAAHBxg0QIECAAAECBAgQIECAAAECBGICgk1sIcYhQIAAAQIECBAgQIAAAQIECAg2boAAAQIECBAgQIAAAQIECBAgEBMQbGILMQ4BAgQIECBAgAABAgQIECBAQLBxAwQIECBAgAABAgQIECBAgACBmIBgE1uIcQgQIECAAAECBAgQIECAAAECgo0bIECAAAECBAgQIECAAAECBAjEBASb2EKMQ4AAAQIECBAgQIAAAQIECBAQbNwAAQIECBAgQIAAAQIECBAgQCAmINjEFmIcAgQIECBAgAABAgQIECBAgIBg4wYIECBAgAABAgQIECBAgAABAjEBwSa2EOMQIECAAAECBAgQIECAAAECBM5LsFkeX47FFQv6BAgQIECAAAECBAgQIECAAAECnyNwXoLN5j82x+LAYhzcd9BSCBAgQIAAAQIECBAgQIAAAQIEPiOw68Fm+e/l2Pxwc3uMQycPjcUNC0shQIAAAQIECBAgQIAAAQIECBDYIbDrwWbzqc2x/OFye4SN4xvj4DWesnGRBAgQIECAAAECBAgQIECAAIGdArsabLafrjk2n6754ekRnp/R5sSMNveINs6SAAECBAgQIECAAAECBAgQIHBGYFeDzeZf59M1B5ZjXHP60x8bY/H8Yhy675CNECBAgAABAgQIECBAgAABAgQInBbYtWCz/XTNi/PpmpvmZ77y9Gc/Pn9/bj5lc+l8yubHnrJxlQQIECBAgAABAgQIECBAgACBlcDuBps3Z7C5dn7W75zGPzF/f3X+8OHvzR8+7G2+XSQBAgQIECBAgAABAgQIECBAYFtg14LNGe/lh/NJm+Mz3Lw7Q801M9TsXVgFAQIECBAgQIAAAQIECBAgQIDADoFdDzarz33kb0e2Rzh8++GxWBydr63tf3700cV46KExbrvt4Ni/X8hxqQQIECBAgAABAgQIECBAgMB6Cpz3YLOx8VG8OfNra7abZ5/dGLfe6mfarOdJ+qoJECBAgAABAgQIECBAgACBrx1s7jx6dCyXy3Hy4MHx4WJxVqI7n7BZBZuHHx7j4otXT9aMcdVVY/7/NuZLsDkrTB9EgAABAgQIECBAgAABAgQIXHACXyvYXDZDzf2bm+PAZPlgvl6Yr5dmtPnnjDf/mn++9AsCzs5gc8klm+PKK5dj794xrrtuzG+FEmwuuCvzBREgQIAAAQIECBAgQIAAAQJfSeBrBZszn2kVbq6YT9ocmL/Ph2S23wTqzfl6cQabJ+bvp2bAeW9HvPkk2GyMG2/cGsfn23vv2TPGvfd+9H987LFD4/XXF1/pC/HBBAgQIECAAAECBAgQIECAAIELReCcBJudGHtmtHlvxpv75l/eMP88H5j5+OmbV2a0eWXGm9+enO8SNX/94RfziZyXxnjyyY3x4IPL7b9bhRrfDnWhnJevgwABAgQIECBAgAABAgQIEPh/BM55sNk5xBsz2Fw//+LqGXBumn/+wfzzvvn65W/G+Pmfx7jjxBgv37ExLvvJ5/+8mkvnf/fc/Pjvz8jjFwECBAgQIECAAAECBAgQIEBgXQS+0WDzWcSTjx8de3+0NW6/fUaY34+xeGaMk/ODVj/75szTN2d+9s1PZ6y5er5l1GPz3/19Y2NcJdqsy036OgkQIECAAAECBAgQIECAwNoL7Fqwee21o+Pmm7fGgfkTiv84n6559OkxfnVqY9yzevJmvq6dq1g9ffPGfP1lvn49X+/N16vz9ejqNaPN5aLN2h8sAAIECBAgQIAAAQIECBAgsA4CuxJs3nnn6FgstrbfuvvllzfG7x7f2rY9fOfhj40vntHm8vlUzTXz95/Nv1398OJT8/Wf+Xprvp6ar4dntHlXtFmHu/Q1EiBAgAABAgQIECBAgACBtRb4xoPN3r1Hx/XXb43335/f+vTCxti37+A48vSR/wk2O7dw/ww3989vh5rv9D0umq/5BlLjw/lafbvUn2a0WYo2a320vngCBAgQIECAAAECBAgQIHChC3yjweattzbH3Xcvxxvz+5xWsebyyz/64cFfFmzumsHm1hlsVr9m59l+0uaD+To2X/tmsHnl5pvHcsfbhF/oS/L1ESBAgAABAgQIECBAgAABAusl8I0Em2PHlvOJms3xwAOrUPNRrDlw4JN3evqyYPPdGWxemcHm5Iwy++fr1Aw0Fwk063WZvloCBAgQIECAAAECBAgQILDGAuc82Dz77NFxyy1b47b5Q2ieme8CdeLEoXHFFYtPEX9ZsFnjffjSCRAgQIAAAQIECBAgQIAAAQLjnAab/fuX852gNsfbb4/xyCPzZ8/sOTSuvfbTsWZlLti4PAIECBAgQIAAAQIECBAgQIDAFwuc02Cz+jQbG0fmt0AtxnPPHfrCzyrYOEkCBAgQIECAAAECBAgQIECAwC4Gm7PBFmzORsnHECBAgAABAgQIECBAgAABAusqcM6fsDkbyCNPnH5b77sOn82H+xgCBAgQIECAAAECBAgQIECAwFoJCDZrtW5fLAECBAgQIECAAAECBAgQIPBtEBBsvg1bMiMBAgQIECBAgAABAgQIECCwVgKCzVqt2xdLgAABAgQIECBAgAABAgQIfBsEzkuw+TbAmJEAAQIECBAgQIAAAQIECBAgcL4EBJvzJe/zEiBAgAABAgQIECBAgAABAgS+QECwcRoECBAgQIAAAQIECBAgQIAAgZiAYBNbiHEIECBAgAABAgQIECBAgAABAoKNGyBAgAABAgQIECBAgAABAgQIxAQEm9hCjEOAAAECBAgQIECAAAECBAgQEGzcAAECBAgQIECAAAECBAgQIEAgJiDYxBZiHAIECBAgQIAAAQIECBAgQICAYOMGCBAgQIAAAQIECBAgQIAAAQIxAcEmthDjECBAgAABAgQIECBAgAABAgQEGzdAgAABAgQIECBAgAABAgQIEIgJCDaxhRiHAAECBAgQIECAAAECBAgQICDYuAECBAgQIECAAAECBAgQIECAQExAsIktxDgECBAgQIAAAQIECBAgQIAAAcHGDRAgQIAAAQIECBAgQIAAAQIEYgKCTWwhxiFAgAABAgQIECBAgAABAgQI/Bc1UBpiBHqTlQAAAABJRU5ErkJggg==>\n",
       "                <script type=\"text/javascript\">\n",
       "                    var image = document.getElementById(\"screenshot_imjoy_window_cc386686-7267-4bdd-b914-fa80c23f455d\");\n",
       "                    image.src = \"data:image/png;base64,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\";\n",
       "                    var viewer = document.getElementById(\"imjoy_window_cc386686-7267-4bdd-b914-fa80c23f455d\");\n",
       "                    // Hide the static image if the Viewer is visible\n",
       "                    image.style.display = viewer ? \"none\" : \"block\";\n",
       "                </script>\n",
       "            "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "window.connectPlugin && window.connectPlugin(\"296913b7-a0f8-4d3e-b968-351b0186495b\")"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div id=\"529866b7-8295-4c67-881c-1a79792c8c8f\"></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<itkwidgets.viewer.Viewer at 0x23a400b4280>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import itk\n",
    "from itkwidgets import view\n",
    "image = itk.imread(str(Path(temp_dir.name).joinpath(patient_id+\"_cbf.nii.gz\")))\n",
    "\n",
    "view(image,gradient_opacity=1.0, gradient_opacity_scale=1.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7069fc3d",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.17"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}