https://stackoverflow.com/questions/71869717/how-to-straighten-lines-in-a-cylinder-when-looked-at-from-a-sideways-perspective

so-71869717.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "686a6113-3dae-4091-ab08-3c92c79106f6",
   "metadata": {},
   "source": [
    "https://stackoverflow.com/questions/71869717/how-to-straighten-lines-in-a-cylinder-when-looked-at-from-a-sideways-perspective"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c6e06c23-e183-4bd6-b437-509416bf3f15",
   "metadata": {},
   "outputs": [],
   "source": [
    "inv = np.linalg.inv\n",
    "\n",
    "def vec(*args):\n",
    "    if len(args) == 1 and isinstance(args[0], (list, tuple, np.ndarray)):\n",
    "        vec = args[0]\n",
    "    else:\n",
    "        vec = args\n",
    "\n",
    "    vec = np.asarray(vec, dtype=float)\n",
    "\n",
    "    # if len(vec.shape) == 1:\n",
    "    #     vec = np.array([vec]).T\n",
    "    # no, write row vector, get row vector\n",
    "\n",
    "    return vec\n",
    "\n",
    "# vec3(x, y, z)\n",
    "# vec3(x, y)\n",
    "# vec3(v2)\n",
    "# vec3(v3)\n",
    "# ...\n",
    "\n",
    "def vec3(*args):\n",
    "    return vec(*args)[:3]\n",
    "\n",
    "# ----------------------------------------------------------------------\n",
    "\n",
    "def length(vec, axis=None):\n",
    "    return np.linalg.norm(vec, axis=axis)\n",
    "\n",
    "def normalize(vec):\n",
    "    return vec / length(vec)\n",
    "\n",
    "def scale(s=1, sx=1, sy=1, sz=1):\n",
    "    T = np.diag([s*sx, s*sy, s*sz, 1]).astype(np.float32)\n",
    "    return T\n",
    "\n",
    "def translate(dx=0, dy=0, dz=0, dw=None):\n",
    "    assert dw is None or dw == 1 # translate(*point)\n",
    "    T = np.eye(4, dtype=np.float32)\n",
    "    T[0:3,3] = (dx, dy, dz)\n",
    "    return T\n",
    "\n",
    "def rotate(axis, degrees=None, radians=None):\n",
    "    axis = np.float32(axis)\n",
    "    angle = length(axis)\n",
    "    axis /= angle\n",
    "\n",
    "    assert (degrees is None) or (radians is None) # NOT both used\n",
    "\n",
    "    if degrees is not None:\n",
    "        angle = degrees * (pi/180)\n",
    "    elif radians is not None:\n",
    "        angle = radians\n",
    "\n",
    "    axis *= angle\n",
    "\n",
    "    (R, jac) = cv.Rodrigues(axis)\n",
    "    T = np.eye(4, dtype=np.float32)\n",
    "    T[:3, :3] = R\n",
    "    return T\n",
    "\n",
    "def lookat(eye, at, up):\n",
    "    \"\"\"\n",
    "    camera is different:\n",
    "    - X right\n",
    "    - Y down\n",
    "    - Z far\n",
    "    \"\"\"\n",
    "\n",
    "    eye = vec3(eye)\n",
    "    at = vec3(at)\n",
    "    up = vec3(up)\n",
    "\n",
    "\n",
    "    far = normalize(at - eye)\n",
    "    right = normalize(np.cross(far, up))\n",
    "    up = normalize(np.cross(right, far))\n",
    "\n",
    "    # orthonormal: transpose is inverse\n",
    "    # forward (definition): columns\n",
    "    # backward (lookat): rows\n",
    "\n",
    "    T = np.eye(4)\n",
    "    T[0,:3] = right\n",
    "    T[1,:3] = -up\n",
    "    T[2,:3] = far\n",
    "\n",
    "    return T\n",
    "\n",
    "# ----------------------------------------------------------------------\n",
    "\n",
    "def apply_transform(transform, points):\n",
    "    assert transform.shape == (4,4)\n",
    "    points = np.float32(points)\n",
    "    nch = points.shape[-1]\n",
    "    points.shape = (-1, nch)\n",
    "    n = points.shape[0]\n",
    "    assert nch == 3\n",
    "    points = points.reshape((-1, 1, nch))\n",
    "    transformed = cv.transform(points, m=transform)\n",
    "    transformed.shape = (-1, nch+1)\n",
    "    transformed /= transformed[:,nch,None] # projective space, \"homogenize\"\n",
    "    transformed = transformed[:,:nch]\n",
    "    if n == 1:\n",
    "        transformed = transformed[0]\n",
    "    return transformed\n",
    "\n",
    "# ----------------------------------------------------------------------\n",
    "\n",
    "def ipt(points):\n",
    "    points = np.asarray(points)\n",
    "    nch = points.shape[-1]\n",
    "    points.shape = (-1, nch)\n",
    "    N = points.shape[0]\n",
    "    assert N == 1\n",
    "    points = np.round(points)\n",
    "    [point] = points\n",
    "    return tuple(int(v) for v in point[:2]) # xy, drop z\n",
    "\n",
    "    # values = np.round(values).squeeze()\n",
    "    # [point] = points\n",
    "    # return tuple(int(v) for v in point[:2]) # xy, drop z\n",
    "\n",
    "\n",
    "# ----------------------------------------------------------------------"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "46820f85-7e8d-452f-93ad-815119d77008",
   "metadata": {},
   "outputs": [],
   "source": [
    "cylinder_length = 2.0\n",
    "cylinder_radius = 1.0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8f3c7026-c645-4af9-b62f-afaa5842516d",
   "metadata": {},
   "outputs": [],
   "source": [
    "im = cv.imread(\"48NG3.png\", cv.IMREAD_GRAYSCALE)\n",
    "(height, width) = im.shape[:2]\n",
    "im = (im >= 128) * np.uint8(255)\n",
    "allmask = cv.imread(\"48NG3-mask.png\", cv.IMREAD_GRAYSCALE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c8180b52-c042-4624-8c63-689c4acac196",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[      0,       0,    2048,    2448, 4952320],\n",
       "       [    292,     622,     491,    1140,   21166],\n",
       "       [    852,     699,     501,    1297,   22701],\n",
       "       [   1638,     846,     410,    1437,   17317]], dtype=int32)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(nc, labels, stats, centroids) = cv.connectedComponentsWithStats(allmask)\n",
    "assert nc == 1+3\n",
    "stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "7a9e2ef7-f717-4818-8f7f-6154a8331b6c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "((686.5189208984375, 1201.4749755859375), (722.8235473632812, 1183.0489501953125), 16.993139266967773)\n",
      "((1185.7459716796875, 1350.0238037109375), (552.0423583984375, 1344.6251220703125), 16.686906814575195)\n",
      "((1869.3040771484375, 1539.140625), (148.7962188720703, 1508.4716796875), 16.370885848999023)\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=2048x2448 at 0x19424FCC8B0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "canvas = cv.cvtColor(im, cv.COLOR_GRAY2BGR)\n",
    "colors = [(0,0,255), (0,255,0), (255,0,0)]\n",
    "\n",
    "impts = []\n",
    "objpts = []\n",
    "\n",
    "for k in range(1, nc):\n",
    "    mask = (labels == k)\n",
    "    i,j = (im & mask).nonzero()\n",
    "    points = np.array([j,i]).T\n",
    "    \n",
    "    rr = cv.fitEllipse(points)\n",
    "    print(rr)\n",
    "    \n",
    "    cv.ellipse(canvas, box=rr, color=colors[k-1], thickness=2)\n",
    "    \n",
    "    ((cx, cy), (a,b), angle) = rr\n",
    "    ca = np.cos(angle/180*np.pi)\n",
    "    sa = np.sin(angle/180*np.pi)\n",
    "    \n",
    "    # major axis\n",
    "    cv.line(canvas, pt1=np.int0([cx, cy]), pt2=np.int0([cx+a/2*ca, cy+a/2*sa]), color=(0,0,255), thickness=2)\n",
    "    # minor axis\n",
    "    cv.line(canvas, pt1=np.int0([cx, cy]), pt2=np.int0([cx-b/2*sa, cy+b/2*ca]), color=(0,255,0), thickness=2)\n",
    "    \n",
    "    impts += [\n",
    "        [cx-a/2*ca, cy-a/2*sa], # -X\n",
    "        [cx+a/2*ca, cy+a/2*sa] # +X\n",
    "    ]\n",
    "    z = [0, 1.0, 2][k-1]\n",
    "    objpts += [\n",
    "        (-1, 0, z),\n",
    "        (+1, 0, z),\n",
    "    ]\n",
    "\n",
    "impts = np.float32(impts)\n",
    "\n",
    "objpts = np.float32(objpts)\n",
    "objpts *= [cylinder_radius, cylinder_radius, cylinder_length/(3-1)]\n",
    "    \n",
    "imshow(canvas)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "3353e814-854f-4b43-9f40-a9bc91600874",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 340.88647, 1095.8497 ],\n",
       "       [1032.1514 , 1307.1002 ],\n",
       "       [ 921.3486 , 1270.7666 ],\n",
       "       [1450.1434 , 1429.281  ],\n",
       "       [1797.9222 , 1518.1713 ],\n",
       "       [1940.6859 , 1560.11   ]], dtype=float32)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "impts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b69f9900-544e-45bd-925c-5419b6c5328a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-1.,  0.,  0.],\n",
       "       [ 1.,  0.,  0.],\n",
       "       [-1.,  0.,  1.],\n",
       "       [ 1.,  0.,  1.],\n",
       "       [-1.,  0.,  2.],\n",
       "       [ 1.,  0.,  2.]], dtype=float32)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "objpts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "024a4612-e6e0-45c7-a12b-2ac5b83067e5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[-2.5666 ]\n",
      " [-0.38945]\n",
      " [-1.55336]]\n",
      "[[-0.50286]\n",
      " [-0.0107 ]\n",
      " [ 4.35373]]\n"
     ]
    }
   ],
   "source": [
    "K = np.eye(3)\n",
    "K[0,0] = K[1,1] = 2500\n",
    "K[0:2,2] = (width-1)/2, (height-1)/2\n",
    "(rv, rvec, tvec) = cv.solvePnP(objpts, impts, cameraMatrix=K, distCoeffs=np.zeros(5))\n",
    "print(rvec)\n",
    "print(tvec)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "e6647588-2e7c-4e91-a648-24ac3ea4cf89",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vZUBmHMYwMiYAblHroON9oCrRfzhHAgDykhKABlQqAP5PLIAhJU0A3OJVxo/Ts5cNQ6ZwcJroP5wjOQ2DMZ6E4lQhAG43sQDGlTcBcAtWJXfuELIME04Q/YcrdD0wNtcJwEV/ej8AAP2JBTCq1NH/gC62Eg4ZW7hqhUXLeqEOApDRx27LdVOwnwQAALebAROEFCpMXPBJQn2ultYzVaFYFi3LgPIGwBheejQHB8EGlQFgdpb/M7AxdgB0r56HWomj77z7p2vGCRW8c/IPlOKEEOCFZgEWyj3A1IQDGNgY0f+nXpV0/Q4rJQD2/+TsJAB4IfoPNUy7yQzYw0YB5uQIIIB5CQcwsJGi/72ceIfnXru2iAmJ/kMlijqw4b2JcJcAM1CsAeZlhRQDq5cAeNaaJaDWLNPQpbYenRFdeRtjN0c/38zYH58XzSLyrpoAgENsEWBICjHAjEQEGF7BuPz+alI1GdC3tu5pNIp8/IEbJUcA8dR47b/SBQBXuEuAASivANNxFADDixCJrpEMaLNe+Ntv2bgPoOyHHbV1kgDg5uQfABiCjQLkonQCzEU4gBlcj0eXqiPF0wBVK+/PxcJjn3dUmwQAYU/+sVEAAC5ylwCRKY4AczHJZwahTqLvchjRCTsbBzmAK2whn1nj6P/p6qxAAsB1tggQisIHMBHL/xnexfB0vdpRKm7evf42SwDcAnzYeuRiZ5Ml+v+kcAJAcVICdPSn9wMA0IjoP2yrWjueP7xl9HwAA0fJR/1cvDt6Gs91ShcABPTeQduKRzMSAABTEP2HbW1qx/1+v5gDqBQTDxtqD/tgsF+zMizFCACJfBwh2ChADRIAAOMT/YdtLWvH9RxAcdGeB4bRsnId6uu3H0ziDQB6+blRQB/NCRIAAFMwSmAG52Jt7WtHwBxAZGKRJNUy+370d223QmocAMTx0i/bIsAJEgAAgxNnhMGUDYgfaiJ6tSdyAKQTOfoPAOS15y4BowJeSAAAjExQALb1qh1B7gReP4AgO5TSrPNtf8MwABCNlAA/+foBhiX6z2xOxNO7V5C+xxYdmht0T1d0/7Jgj8Zr/6/8oo+VWkUDgPG4SGByvm+AMYn+M5uM0f9b8wTA+tctP2Q7DdA97r+I8H3BtqQn/9gABABTsQhgNr5agAGJ/jMhCYCjv6tslP/n7WRFRPjK4Juk0X8AgJuDg4bmiwQYjaAAczoacQ5SR5olAH5u+62XQSmVDAjylcFHov8AwGAcHDQM3xzAaGzkZ0JJl/8/NXj4nct5Dj3JoWeQA2Bsov+QlGEzwH4ODsrrT+8HAKCkOKd1A/V0D1gc/e3Pv3+9ger+weGd6D+ks+6Plj+rWQDbdi4h0pwGJAEAkNs6HCYuANR2pYW53++SlAxG9B/S+dYTyTEDnPDzZFFNawQSAAApfVy4dNO5wj6hakr7sHjHj19qKwBEIPoPAPDiZbhii0AEEgAA+YidwdqENeLiMvwu//bl50z4rTEY0X8AgJ9+bhH4+HcoSwIAAMhNNLkN43JYiP5DUtsDBqcAATQgJdCetwmQz8bURTfJnA4lAAJWkxMJjKOf4mcM8eczFH9vp9M2Ab9B5tH4vlDRfyjOQBogPimBsuwAAEjGwiW4aIBq0v75a/xGWzdIqlkFFP0HAObkbuGyJAAAktkOmekFmZAg8rv3JMd20+Edwk6i/wAA7f28W/j977CQAAAAGMR6HPx+UMkzB7Bn6Pyi3kjaJgDYYBILNXzretQ4gEQ+NtoODvrGWwDIxw4AeDHbHQA7x7svf/9cqL3264r5VNCX5f/QxgCnAgKwwcFBT3YAAIxj2s4MmOp2kJE+C7wT/YdmVDSAsTk46Gn8TwgwnnUsb7C4HpxwYgl5tFpzcQdAvVN02ryoAb5BKEX0HwCgpRkODrIDACAZW9hgMG0OwQ972n7Mp4JFy4i86D8AQGPvQ6/xoi4SAACZCA0AgwmbmYjDTq+ORP8BAGbzc791ugGbBABAGkIDwE0jMI31TGP5s2+/JdF/AAB+bhH4+HdCkQAAyEFoAAqKs6Q68uL3IK9oTt8KRpyiOzzRfwAAPkqXEpAAAEhAaAC4QusBh4j+AwCwX/CLBCQAAHIQGoBvpjpE/nRTEPkVTfUNEl/7iLwuHgBgMKEuEpAAAIhOXAxqGOkolRoB9GFeTkbb3+ZIRTesZm9YFw8AMIO+WwQkAAASEOuB8ZQN/G3nAIIHGYM/Xnvb36YeYRgO/wEAmNbPLQIf/9o5EgAAoYmLQT2DRd8+Ro2drgOHNNtgMVj7AwDAFd+GhevZ3OmhowQAQFyiA7DTPGHu7bMjkzYX83x9BNesHOrfAQDYYz1iPL1LwKATICjRAdjvYtiufUU78cAbUfLt5z/3u47+k4sOPeQkDePHdzLJZ+/C2n8AAIZk3AkQkegAHJUoB3A6In/iXPhzr6Vx45MiRdGRW38baNbt6t8BALjo6JDyn5oPA8B5ogNwyMUqE/kImj0f7ePzR/5Q7Kc7qC1y9F8tBgBg8Xg8Tgwp3QEAEI7ZPnTRZp31uQquWVgTEKegmNH/dZVf/qzkAwDM7PTA1Q4AgFgcDgAdVY2zL4s1gtP+MI/Gfe6J6P+e/w4AwPCuDFztAAAIRPQfuhtmsa1YIWxr2eeqjwAAnHN9imoHAEAUov9wUdnqUzBgd3Htv9AhFNc++q9/BwDgqGUkeWUwKQEAEIjoAFxUPAdwMfh+/Se0bBYuDishi8jR/+0WQzoQAGAS5+77/cgRQAAhmNJDWOvqefEI73oE7mGn9uvxD/2u+/2+0YCo6dDF4/FQ+wBoqeyQVQIAoD+HA0BB2+Gziz7+5Kq/8dzPT5RTTPSoDKNZh6t4Q2rrKjzMFUEAxFc8RuQIIIDORP8hu0oxvvWBPNtNhAYEdmoZkde/Q2rfmguJPQCqKjuGfP40OwAA+hMdgLJqL8mvZ2kN3p//+T+9/PeCrUeWhijLcxJQ5KP/1761YAo/AMDYSo1XXzaxSQAA9JQ0RgkU9z7I+3ji8J6xYKKGJdGjkl2W6P/TOhco7g8AMIMa0f8nRwABdONwAKgnUc1aH/XztIzYxMehiFzR/7VETRmMZLv/1TsDUFzV8aoEAEAfov9QW9L69RJWaBNlyPKusjwnobTvcBVUyM7VOwC0VHu8KgEA0I3JA9QWv5Z9W/sPFNSsKVCFAQA4pMatvy8kAAA6ECAA9jvUYiRqXhI9Knm1LGb29gEAcEjxAeTHHyUBANCaAAG09H7C/sCE1GEt79H/QHffqrNqDkApzQaQf2r/AgDemTkAH93v9/ZB/CwtUpbnJAhH/wMXLZX68Xio4ACU1XKwagcAQFPW50IXM+wD0LzAovHaf7UPxjb8EAKALir1L+8/1g4AgHacDwB9dVlff9SziYj/nBcN/wHpzsk/AADEVHs29LKJzQ4AgKbECKCvaHVwz8hvzzOLp8OicXWI1qoAABBZyxUkz98iAQDQiPAcBHH/q/eDbDn0eDM0L8G/L+Jof/EvAADs1GX/qKkUQAuOCICA4gTvTjcOpT5Cy9bp3DNrP9mjffRfyQQAYL8uF8u7AwCgOjECiGldK/smAz62EutHem9A4mQvIAjRfwAAIus1iTNmBahLjACyaDAaC3vBb/AdAJpQfmrc23ZZugUAQF4do0PuAACoTowAUqh3McDzxy4/POAlBAFzEnBUy+h/m18EAMAY+q4NlQAAqEiMANK5r1z/Uc//+2wK3huEUDmANrSK1NCyXNnYBwDAId0HkEauALV0b+KBUg6FFw8d5X/0h1dVu706/Uk1pGxw9D8AAJF1Pz3SJcAAFYkRwBhO1+WXkPfHkd+yRaC77gPTjwI+UkAxv7tmWn72md8zAABHRZjrSQAAFPaMwkRo4gHiONcqCrZuW7/V5c9TvbTGh/9M9W4BALio7P7R08NRCQCAMj5GYQBeBI8hOuEkkW99TfAyVlD7w38AAGCnUoPV64t+XAIMUMBGFKbxkwDxTdgyTPiRqc3R/wAABFc2+r/nv38kAQAA0FrwgHjZx3P3L8WJ/gMAEFmQGd/zMSQAAAA6CDIi/KbU4wX/mHltv9ixX3v7iLzoPwAA+wVZQbJMCiQAAK6aOQoDXPFsH8K2EtcfLOxHG8D2dKL7ZKO2Zh9QGQYA4IQi49Ur4aZ1EsIlwABX3e/3jWZ3+CgMsGG7fbiFDy92vE5W48lHLatMkKVbAMV9bEs1dwBFFByvXgw3LX9BAgAAoKI9g7aqMc2Lv+JcDPTiJxKD4CNH/wNc9/M+SU0fwGlBxpAvTb0jgAAA6rrf7y9DwPtfy//b4Bmu/PP9Af3H4xF8W8Mwvn2n3ecbVYn+A9SmKwe4ou8YcmnD149hBwBARWIHwOLnoe3FJ9tlm6A9CwPFCxpbvouOhzU107h0Df8+AbbN0LPAISoFP9UYr36bJ26Uxvf/ScEFuOoluWpYANMqtXe+yMDx/RlqJBgqjXGL/0yyc/gPQBFHO26NIbgzg50ajCH3hJs+/h3lFeAqEX+g+MTgSmA99Qp9zSnvRP8BSjkxEtAkMq3t+qJqsBZnDPkxQuUOAIBL4kfTgNp+XqZ3wvu1AfX+FUQm+g8EZzoAc1L3eRFhDPmtWPZ/MoC8RApgcnvG/aWaiI3fdehXRJ6raE5512ybnT4dOCTjqSDnxgDBPxRU0nKcT3ZBhpEbj+ESYIBLujfxQHClwpdaGybk4l8gpo3Nf1oSmIcqzyJISfj2GI4AAjgp8ipagG+CjE3fhX0w+mq5/B8A4GZgwBFBSsv2Y0gAAJwRZIcXwAnaLlKw/B+gIOf/ABQXJDT08zEkAABO6t7EA4zB3cW8a3/3L8BO242GJgVgKkEmMtuPIQEAcJhhPZBdkHEqfNQ++j/MTdpAA9sthh4W5qG+Ty7ImHDPY7gEGOCYIDu8AC663+8RxqyaU16Ejf6v68vyZwUYSMH5P7BThOExiXRvJ3eOZu0AADhA9B8YSffWrPsDEFPw6P+e/w4AJPL4q/eDkEac0rJnNCsBAHCMcBWw2NMgBG80Oj5e8DdDFy7+BVL41npoVSCjE8MPV1hNLsja0P1F1xFAAHvFSfACcWwfpNN9UBiWN8M7F/8CiSyN1ePxGLJTG/JDwbtz0f8aT0Iu3YvBoZGzBADALkESvEBAH3MAiZqL56OKhxJBy4qz/3dt145RY3/ATvFbAF08FBG/stNGnEZ1f5mUAADYS38PfKN92M+74qOWU6mjv8tGHwCYnO6ep6RrQyUAAH6Lk+AFqGR9lEGD3wJr7Q//URQBNmgkAb6J0EIenbJJAAD8IFIAfBxgjdosbC92vviTa/xYsmvfzyqKwDxq9OnLz9ScAlMJsjb0xOBZAgDgN0NbmNm3cd7AB38XvxVg1BfFdY2j/6dL9bfEmLINDG+j5Ux9BxLACUFauaOPIQEAsCVIghf46RmO/zgRvbJObebLP4tsBRj4/VBK4+j/6V+3PiZLwQbGdnoAYHMAMKog0aFzA1EtMsAWk3yIrNQg7Fs13/nzJ2klTrztSd4Mpzn6H6CqIOEqbS+R7akmyjBlR5JXAk3n/q0dAABfBRkxA4tKtdJqtT3WL2c9Al7+LGPKIY7+B5iEFCwxWevDIddLwrrInZuBnj/N8tw/AxiecSpE0zgnt/8AHA0FnNAyY6RPB+YUbT2TdpgIDtULhZZboZHkRsHb+ZOvPIYdAABf6ewhiC7T1yU6GW3yDANoWa1E/4E5BRzA2HNJX0crhYLKIkhhOP0YEgAAHwQcLsOcIlTG96NvgCsc/Q8wOccGEpaSyYsgE8CLzaYEAMBnOn7oK8hI64VkAFzk6H8AbhK0NGfozgmlWqrt4tcgJ/pP1Z8OkJGRAXQXpBpuP8b9fndGEJzQ+Oh/gAlpAAGKKDJw3f4hP3/F9SbdDgCA/7AUBbrLOGV1pi3s4eh/ANa01bSRcX5Bd6GKzcV2UgIA4JUBKPQSaoz1tL0f8/2B1/9FYwLvHP4DwAtXAgAxRWiaisyRHQEE8K+AwUegu8fj8THQ/7PFePxV7dEgk/bL/wHIQrtNVRHCuORSvFH6Vgj3FM7rBVgFAPiXtSfQyzyzPo0M7UXo3Voe8uBACWByqYdVWm8q2VMvFD8WVcfP+394qWGtI4AA/i/1QBnIwhlBNLMubH2vqRD9BwAgi9rRocbR/5sjgADWxAugi2nTb84Iop5v5apXeXP0PwB75BoXGcil4GvikFCrSUo9hh0AALdbtoEmjCRI7fs4tGr2bLYFMDBH/wO0pCWsZ39y3XCuu6MVwVfGWoTyULYxlwAAiJXghakEmaNu3MjU/gklAxhJ+x5WrQFmFmRkdVGEq2teHH2xfU/e4yhfE4tQrWjBkikBAHC76fJhYtvVv0sOYGH2yDnbhbZxYKXZ7wo1YQPgijg5gIudi4Ud7e3/ynwjfBShYBQf1roDAJhdnMElzCZCtG5P9Y/QRDxWej8LCfxMa7V5jPaH/0SorQC9GCSUVXzc5QsKxZiBd6EqadkiagcAMLVQ7TtMRe07zVIyUnD4D0BqexrVqsO5juu06n0u6WoILkL1rNEESQAAs4vQvgPB9T0IaIMzgoipcYAjZvUEyOhQ07385UrtcJccQIM+xR50CCjUeLJ4EyEBAMwrVPsORBa/ubAtgBffslbNikfj6L9iD0zu+ljlSkNaOxPQTLPn13lBQBGqZKUEoQQAMLUI7TtMKPvkMDjJAJ7W4ZiWJcHR/wCNXWx4C7aixTdNNuvCuoxObQWAIIafn0oAAJMavn2HsGrXvu151DpcOEM7IDzKrW0BcPQ/wNO0sd15RllFTFtOIJoINbFegyABAMwrQvsOFLG/Oq//5jJB3ZMzSM3ckpYc/Q/MbN00tbmq50pjWO/BEqUBuj+kcVp7Xjhr3RuBBv7p/QAAHczQvsMk7vf79RH8Y6XIU8GcHP4DTO5bMxhzgNGgCY3fSgf5aoI8xhh+lrr4xZL2hi8VEgDAdIQMoKOC05siof/bW2vwkgwwH4NDHP4DwFqRhRpFniS4ST5mGxulzuCBF3GqXtXNQI4AAmak14fUilfhj7vUn/8x0QZ26Kv98n8AzrWHjWdDYUdT0R7JWUCnvR+39V7qvFu+iVA2ajdHEgDAXKIN8oCjah9W+/N/0ozAu5a76+zkA2LaHiGI7UZjRDeGl+/xZZCg0rEtVDtQtbg6AgiYjkEA5BWh/t5Xej8LhCD6D3D71TRpuK68gVBBuqpcSbXfxrvyDtkvSONc+zHsAACmsB4BvG8PBNq4OBYPWGeXRzLNYHKO/gdoL8X5Py+/OsiQKchjUI89N/w0VTsgAQCMb2NdgDEBZHGxtn5sBwq2AM4IYlqO/gdIpPv0J0IOoPsD/GSi+tOeL9Fr5Kd5SogjgACA6GpE/zf++0UBzwiK8yQMpv2BPAozENm3NkrbBRBK/ERgWXYAAAAj63sjnzOCGF6zqJZKBKSw7vqjxf2jPU8XWXqTgOUHhjHhnVJ2AACD+xn7a/YkMLnT1a32lXFt2oGA2wLgovaH/6g+QCK1mywTmRO8tDH4HrlutlGlBAAwuO1mfbZGH4igcTJAQ0c9Dv8B4KjB2vN6H0eY+5vBihA04AggYHCGTRDEuTvfhh/fOyOIpNz9C5DL8GOqn0r1Ju9v0nAOEpmznkoAACObs2WHmNTHbevJpHdFcC0P5HH4D8C7CYcKEc7E//kAxTMBET51Xl4d76YdWDoCCBjcxiEbEzb6QAouDCA+h/8AdJS9Ycz+/D8N/wG725+MgRdzlg07AIAprNdizNncA0ldXEqmxaM4h/8ApDPAeODiR7jYoZz47c9/oiOr59z5osxs5q05EgDAsD427umaaZiZO3LXTpwRlOWjkYjDfwAiEPc8pH30f/1vL/72jKHGSt7f5HuWxbti25USsi5py5+zFDkJAGBMogbAbdyVQS4MoCOH/wCkI4h82vX3NupwtLGNd6hs08C3EpildXUHADCsFK0wUNt2UzBAQ/HttoABPhrRND78RxkG4LornVepnkiPdsXj8diIvUqusNPkRcUOAGBAk7fswIuPZ7CONxMb7xMRUMvDfwAoJdogYcJ23j4A6MgREXYAAGOauWUHPrr/V+/HgWQahy3OVVKxFYAUUozEij9kik8djZ6dUkqd/n/0fw1CAgAYTYrGFwASaX/379F/shwCsP4zAE/TtoqnP3ioYP20X99O3g/brpeQAQ6VlQAABpSi/QWARFpG/w/9ro1zgcs8E0B+2edH2Z9/McwHaUNXTimqngQAANBCg1HX479q/zqYRIrDfwDYEG1cdPR59ETAOdFav14kAIChaNxhWu/VX4MA1wU//AcAvjnXrdTu8mQXoLEile7bD8lSo//0fgCAYlzsDnPamN09Hg9tApyz1Kywh//cfgV3tAAAY9CYz+l+v1scQBxLQ5RxhGkHADCUdK0wsKHIiN+0Ac55dqktO9YTv2uAO9kAZmNsRlm6e76p1NpkLHISAMAgjCMhvqNDpT1/X92HSloublKRAWrT0u6RMa43tp/fiK+MbUrIkwQAMAKH/8CQSs1UzXghMp04ABvOdRCGf8PYKAAGD2zQCKxJAACD0PcDwH4/T89v9iS3a5149jvZAE7I28QJyXHC/X5/L/N5awHNKCQLlwADAHFtH0JiDglHrWvNt2t+0x3+k/pONoATzjWeGsltzV6Ou203vLyZ9Zei9LKfKvbCDgAgPS07TMs0AA751mP27UkLVmRtAjCJ081d3wb/xG93/s9U3r84XyWnGRauSQAAuTk4GHJRWyG4dMv/ATikV9urzWfD4/GIuUyBjJSZdxIAQHriiTC27QHcnhZAKwE7tZwvSeED9CI69k5/FJkSy1Fq9AsJACAx4wDgJ4M/eNp562/LKqN6ApyWqwltn2AmEV8ZBSlOH0kAALnlGvgCtwrVduMHaiJgsV0dGl9IaG4G0FeKNt9AjoWRA/tpOt5JAABZGQHAPH7W9/v9/j7OM/KD/dofyKOGAvS1ceo6NKMQUpDi9M2f3g8AcJ7YASRVaa2xNgGucPcvwIRq3/3ecvm/rQaA6vyRHQBASmIHkN3RkZlaD9dFOC/L3b8ApZRqSyttBbjyY3UTAAVJAABZGRQCwFH3v25fzs5q8wztfylAX5WWMhRsUcs+oaUbG7ycNaMCSqm9nyk1RwAB+RgwwZyeQzoDOyjiWY8ar8fXgwOzWbd7y5/DjmSKdAq9mnq7Dcbma4IrJACAlHT/MJt1rY8/f4ZEHP4DUMm3kHTZ1QzFr1Za/7RDz1nkMXQT74Z/Jz/L8PBvgOusEtvmCCAgGYsHYRj7h2jf/qYGAa5oX4NMzAByefx1+36m//rvwDkRrikiL+3PT3YAAPkYAcAw9qxZe6nyL//EWg84x+E/AMMovgng3fLzY7bn557KGDKU9eGEL/8RflJUtkkAAJnEHG4C70qd0rPnn8sBwDkO/wGoZ3vmYvTykXeCMgA1OAIISMaAAOJ7WaG/vTH8RKXWDsBFDv8BqG273SveKg7QzA7wEfawpu3JsVGUoiDtYQcAkIZmHeL7udht+fMkczwIyOE/AETTfmRoLNrFy6ig1KZhJqf8/GQHAJCJZh2Gsd4WYBMANNPlNB4VFqCBvI3txSeXac5i45vyJXKO49R2kgAAcjAggFGd3v9rqAeHXEm5XfmlzX4XQDTf2tt67XDG0VHGZ25pnvdjzAD1OAIISMDlgcBH9/vdVAH269KT6r6BmS1tYLNlqrlGR736iF6/N9FXU9zMn51KFKr97AAAchA+gPhqjMB+/sz7/a59gA3LcVvta4pZGcCiZSOcZWhU5Dn1NSPxbXJUluauOwkAIDqDAAA4Z9lC1yv6b1YG0IXmdwzDfI8m9RSnUB3iCCAggWHGPcAJG2HE92Gf5gKeltrRsVKojwAdxT8L6PrutFz3SAX/OqqKXxrJyFBzPwkAACCB9ynix1nE+j8aETKt7qvvTfIBIhg76jrwRwO2qf5HSQAAoWnWIYsGtfXor4iwAhra63Lc/7sIzwDAszUOO6vqnrGObMLXMuFH5jSl5RAJACAuw0GgCNsCmESQ+E6QxwBgMd5WgHQfJ90DFzdeIYREJACA0ITqgLIkAxhbkFId5DEAWETeCnB079qVT6GHguxitmPBafiAuIIcYgD8VHAQtq71zcZ2mhqyi3Pgld17ACnEjKDt6T6uP3mXTuroYw/ck358FQN/Xsoy1DzHDgAgqJhDUqCe92Fcs53CtgWQWpyJUJwnAWA8eWeIeZ+8hvcRvpEDhygwJ3hlQFCW/0MuFyc2G/W945RJK0RwcRb+P+m7AdKJGZt+6U3KPmT7rurE8+tP4Z21JqfZAQBEFHMYClSyPYbreGNYtOgqrEWbAum7ATJa+pFSzXiRywZG6lNG+ixHGUtTnLJ0jrcGRGQJIaRzem6zs7LHmTtpnegu4HQ6WjYCgNNOnFb/cfoWZ/D2rlmHde4lDNCfOuifGkSKTrMDAAgn8kgR+KbIaq8UXBhAENGKX7TnAeCcj+35EndbB+CWP+sCWGxMB0RvuUL5ueKf3g8A8IFmHZK6r/R+lhYef/V+EGaxlLc9VaxZyVQFAIa39DvrDujnKY51n+kCPVcv3jx9TVsC7QAAYpm2OYbx7DlSNvLM8BDbAmjg0DE7jftTxR6Adx1vcopgwvN/Zv66qargtSIBz9JswA4AAKCujW0BQ04SHiu9n4VxnIj+t5nVKOcAbAgbYqvdf+kfv/FmOOd0Y/KtyE1VFO0AAKKQkoUZrCv1DEMurRlFnAjot4z+K94AABCWBAAQwkZKVlgBRjVV7XZGECecKzaNu07lGYBtYQ8CCpjGDvUwR8X8lhmAuNB1EgAAQGfbUc7x5hKSAexxLirRsr6MVzcBqCRsDqCSCU//v833LZPCdpmcJ7XgDgAAoLOXc4HWB+gPP4twWwAbzk1ILP8HIKCwXUbxYZhxHRR0MUa//W/DtkvFSQAA/f1MyTZ7EqCXj1cEb/z38bg6mLVzxcDyfwAiCzuoK9ipnf5RYV/OIXs+xRifFHJR64AQNsZJxgfA2mxhR23ghE4vdGq5i3meHdMAlBV2LHe9X7vy0YbpVbdfwjAfkzaKDDiFm252AAARhB0CAgHdV3o/Swu2BbDTlUJy9N8qkACEdXqIeLF30zk+bbz/SUbvRPOt4E1VICf6qEBY1ggAF00y49Ie8k3BG4N//pBzvwsA1ioN3p7d08UffqKPa/8bU1hey6gfkNqKbzmddg/rjJ8ZCGWJI5wLQwC8GDgZoEnkmxOTmdO7oaedOAFQVtkx20vf1CwiX+RT6FjhnTFnQX96PwAwtfUqwqVl18oDV6wbkIGTAdCFOgVAKesJYKkfVcrO7W6i/1CJMWdZEgBAZ+/DHQMgoJSCE0sIq3Hx1k0DEEfVXunlBJtlpVrBnlevCt+oHQVJAAAA47MtgFEVPP1//b9+/IHqDgA1nBunbfd9386YPWf5UbrCF+sXIlwLYUkAAABzkQxgMCfm29thkY0faG4PQFU/t2+O1BOl/izvX9C5RQnwzhytOAkAAGBezggitZblVh0BoKXrceSymwCKGzVQ7ko/ilCKypIAALoxMgDisC2ApNr0pNfX9On0AWAMP4fKOn2uMBerQQIA6EObDoQVMxlgHsWLi4Xz27rIbyXtXAlc/4qXqxQBoLbgmwCAj4wVi5MAADpwOCCQhTOCiOxiT7ou3hs/6nTh//YPLQwEZqYNZIYCoJxDKBIAQB9GA0AuMbcFMK2yhfBnp6zXBrjIjqheni/Z4A1SkDqq5J/eDwAAkMz9r5a/sdnvIouWp/8DcMXGjqjGT0J3BnVAexIAAAAn3Vd6PwsTaRwwun76/9H/FQDKCjJUC/IYEJPl//U4AghoTZsO57zHy1SlUJwRRBst79G5UpK3713UfAHQWPcLgafq+6b6sBCfBADQlOg/nLBn27iaFYqrg6nK8VMAifzcEaWlBTBvqkoCAADi2j8McptcTEW2BfhOWbScGpmGARRhR1QcvTYBDPYt/3yNg31emlFy6nEHANCOUAI0oKKFde7CAONgXiRa/v/tnyvVAPTSvg8astfbGNAO+XkhOzsAgKaMBqCBlkeEc44zgjgh4/L/dVHXKAFcsTSkzz98ux1Ke/tT98sABqbscY6GqzYvF2hHmw77FZmWqHG5fPzSfYksWnajumyAsi728hcPEtSqf1Q7DeCdw07aqNrsAAAascgCYNvLhQEGwaxlXP4PwOLQjqiC7fDyo9wX9c5WAIjAxKcB7xdoRJsOhxQ/fwNIrVk36gwxgL6ahaQ19Yvi79y7hf0EixqwAwBoQYMOAKc1Xp+oywboonFrb0/AouBWgCFf5vrlDPkBYXgSAAAQjs3IwIuWy/8BaKxv8yu8e3s7ifHiTxjJy9uwU5CyrBZtQwIAAADisvwfYGDRMq+2Bdz+e2HDzr85pI2PL2hLEdEawIFJAADVGRxARyogDMDyf4AhRW54ZQJunz67ofXCq6AIpagNCQAAiKXsVNCICvJqHxjSYgA0Ezn6vyYTsDbPS8hSPoE9JACAuqwLgDE4HBa6aFbdzPMBWsrY6soE8MJknyuUn5YkAACAYyQDoAHL/wGGlDH0/8JQECAXCQCgogFGt8Dt1w1gy5/NAKGI9kssrcAC4BzbAoZkIk9tylhj//R+AGBwBoLQUZEKuH9w9vjr+i+FmT1rrg4UYDwDD5OMA0diEEIDillLdgAAAIXZFgCJCNYAtDFJe2tPAEA0mmOgFucJwDkFJ4eNdwD8pE2AaJ4VXN0EqG2S6P9HepmkfhZa3yznGH+2ZwcAAIwpWvT/ZkUYhKQ+AlCVvaFD8lVyhfLTmNcNVCGjC1cUCbsHTAB8pKGAXnTWAA3MvPZ/g94nhW+l19fHac6K6MIOAKAWbTqwh0VhcOu3P0alA6ALG0NTWL4diwYgNQkAoDyLXOCi+/1+sR5lWf7/7TeaXTCbZ5lvWel01gBEYPiXgm8HUpMAAKowPoCLrkQDB6iAtgVAAyoXQG2yrfvJBMDwnP/TiwQAUJgxLhR0fSvAACQDoDgNC0ADGttzjP0AytKSAuVJ6kJx+yeQBWtf5FmrRobxtOw99dQADUQeSqWj22rAQf9UZfzZkfcOFKZNh9q+TSbLVr1EU1ZtDgNoOeU2vQdooMFQ6qUlXyZiiUZxJ+i/imszuQDBoo68d6AkMQUYRsapo8aHvCz/BxhMjaHUldY749Bum76siO2C4SVTimBRX+4AAArToAO9ODGWpBpH/9v8IgAKut5NLD9hmI7ApcHX/SwMFg1QkLLUkQQAAPBB9vuHJQPgGzUCoLaCg6jijfbAmYCbPg5CGqa1yUsCACjG6gAYyUijNAvEiKxlXdv+XfpxgFBqt8njZQKowfCAIpSiviQAgDKMGoH4LBAjppal8f13reuFbBlAEL26huzTOtFqgHcSAEAxRlowkuxHAP0kGUAE3Zf/f3sAARSA06637R1b4OzbAnReEI1RZQQSAADAZ8+BWtLp3yFWPdNR3+X/AEQTpK3OngkAhiGFcJ0EAACwZaRd4T/ZFkBL3Zf/AxBNwOFHrkyAQGFx3idXXKmSjqksSAIAKCDFWBC4LtcM8CLJABqIc/r/OzEUgBOujJGCt7opxoHB3yGwk2Mqy5IAAMrQBMNUptoWcLPkhAoaL///WHS3r/pQ2gH4aLZx4MB+XvplMABjkAAArjLmg8mlWA5Wim0BFKQIAbBI2ilMNQ4c0salX0nLJHFYrR+HBABQgDYduM23HEwygNOc/g8wqp9Lqr/9qxoP01KETMAAr7GX93LrZdKRYyqLkwAAAMqbNhlgMMpOfU//X/9PFv0BFDTDsGdbhEwAJ+j6icMxlcVJAACXGNUBP001D7QtgJ+iLf9f11CFFoBSphoBAmvPWm9gGYcEAHCVNh3YadptATdNJf8VZPn/6b8JQEHDN79tRoDDv0bIRZUMRQIAOG+G+B1QybTJAEPhyUVb/g9AQRren2wLAPZwTGVZEgDAJRpf4LqppoK2BRBz+T8A1527AXhOUw3/gBMcU1mQBABwlbYYKGW2bQFQjxoEQApFMgEmpDtZiUJGyup13iBwkt1YQDMDhzI1m1NpmTKXngdo7/SIRYu9duI1eoF7mMLThhuAA/JlAGdsjMm08kA9g2UCNJhTaTkXMu8C6EXwuqw979ML/Gn7NXqBlGUZSkCOAAIA0nBGEEm1j8ibdwEwgJ8HBOnvfvo5ZhaupSDFKSYJAAAgpQGSAcbHU2l5+E+bXwQAzbg0GOA0CQDgsO0hl3gW0J45IazpiAGy0GIf5Y3VYBZPEeZiYUkAAIUZNwAd5doWoMGcRMuiaAIPkIt2GxiJBi0mCQAAYEy5kgGMzVwIgI90EMAYpDMj+6f3AwAAVHf/q/eDMJ3Gy/+b/S4APjo62NB0A1CbHQDAMUtS9+NQVXANCC7OtgAN5gyeZazld61cAQDQmOX/wUkAACetr9zU0AMZxUkGMLBmXaQyDACcY0YPY3MEEHCVsQIwAGcEMQAFGCACrTGh/CyQSiwXWYYSnx0AwAGadRjbuo5POxOwLYBSGp/+P22dBYjmaPuvDae2+/3+rVgqexShIAUnAQAco1mHIb1PCZb/MnOtr5cMmPmtTsUXDTChjWAr9PJ+k59RCsxDAgDYy8oUGNX2HNU84Wl98UnfJ4EXyiQAsMfMg3kqMRBNQQIAAKZ2aMQmGXBzRhD7NC4b09ZHgDFYawXkpfmKzyXAAMAZYt+31dXBh0a9hsiTaPNFF6mJqjMAAEcZQ2Zh/gnsYk0KDOn6iE3L8G77rXpjM2jZaV75XR/LqiIKUMTRUZbmF0hHpCgLOwAAAEo6ty2AYbRcCXXld337t1ZyARRhGABAEO4AAIBJCfM1sL46WCBgHi2/a+UKYAyGCpSyDPKVKKrSaiViBwDwm2YdxiP635hWdBJZlv8D0MDR3l/DzhWPv17+S8dHAoKQAAAAThLUhncplv9vhwMECwAgl42+W7cOSAAAwHSKTANE/+FF4+X/V+rg9r9VuwF6EaulBuUKJicBAPzg/B8A2EmPCQA0tie+LwdAWUpULhIAAMBhopzwwun/ALw7MWTSyHOIAkMvpoSJSAAAWyz/B95pFuCjFKf///wJKjjATgKvAKTwp/cDAABNmaxCcUmX/y+xfvl+gKOerfHSJm+0ovf7/WjTrVkGoCAJAAAAuCrX8v/aPxBgbO8B/fV/0agCY7OkLB1HAAEAB5jTwouky/8BOOdnU/z4a/kvbgKgHoNzulDwcpEAAL4y6ITxXKzXxnnwUerl/wBU8p4JgBr2jA2MHyhFm5aRBACwxSgBAIIw3QLo7lxTfPpfafkpwryeUp6NkhKVjgQAAACc1Dg0U2+6JcYEAHltX0Pd8kkYnhKVkUuAAWAi9/v9dJjPUA8+Sl011g3C8ufUnwhgMI/HQ7PMHks50aFTifUieUkAAJ8ZaMKQDNqgoMbX/xbvl789vzEAwEfGUaSgE6cepSspRwABH5j5A8AeuksAanMZAABXSAAAwEQEKyEjcR8AHn/1fhBgRhqf1CQAAIDfZA7gRbNZ0PMXNTv/Z8//CjChOA2jTADQhSlhXhIAwCvn/8DATs8VTTJhrVJQ/psav2j7ZxoJAMQnEwC0oZ3JTgIAACYiqAelqE0ABCETANRm6Jvan94PAAAAfCaaA8B+615DtG5gL8MD3zWwzQ4AAAA4oHFQvt6s/ttPFkcAGIBtAaN6/059y1SlgA3A4B74DxcAwAxOj+G0D3Br2Fe2vGnAAABg2wAhMO18dtuF0PdLJUaJA7ADAAAA9mo8BUp9zzAAodgTMDbfLPCNBADwL3ldAAjCNB4glJEmSjIBGfm+6ELBG4NLgAFgOvf73UgOThjm9H8ATlia5WHGUS4NHowlfdSgUA1AAgAA2MukAlqe/g9ATOu+YJgWe/kgBnsBDVPMyMXsbxiOAAL+T8sOUzld300/oA2dMkAK9796P0gxDggCGIwdAAAwqXMHAY00v4VDmmXKxVwAMhr4gCDDP4DU7AAAAA4YZk4Lhzj9H4Cd7AmguJGKE1k4JWIkEgAAMK9zQzrTP+ZkCgTAIQNnAowG29tTkEYqbEBBEgDA7Sa1CwAx6JEBxjNkwy4TEM2QxYxeVO3BSAAAwNRsAoCfBOUBuGjgfkQmoJmNUjRwAaMXhWokLgEGAM4QEoXiRE8ABra+JXg9iBqm8XdpcAPvd01728BPmglAFA84P/PUejC8Z+1oU9T1yAAzGyYTsNCpQUZGpOOxAwAAALaYAgHQwPvi7uzWH0RnCpOQPwjI9wGz0zQDTzYBwLvGy/+b/S4AUhgmE7Cmp4PgzoWJPrZX6nsQdgAAALfb38HZkPNMuKLlvMUcCYA1VwUAjZ1rar79K0tOg5AAAICRvQzFagy/LFtmVC1DLcOEdQCoZOADggwjIRRVcjwSAAAwkZ8nsd7v92FmlXCdw38AiGbUTIB+EKASzStMzW4sGNj+OeFLO+AyALg1P/1f9QHgtGEyAXrDRYNdvPCu4On/awpwd3YAAMDsXrYFnL4MQBCTwSjPAKQw3p6AmX38Eg2ziWx7E7miG4EEAADwr4vzRpMTxuD0fwAySn1psDHkbfNbM8ymNmVsYP/0fgCgG407DCzdlA+iadlF6o4BKO7+V+8H2cvw9ecb8IqAcyQAAICSzEwAAOJIlwlgg5E2lVwsWt9aGC1PEI4AAgAKs8GI1Bqf/6OyANBG8KsCdIjQ18U6uG5hVOdoJAAAgPKeE0sjP5JSdAEaW0YOhhANBM8EAKlpwAOSAIBJLSlZuVkYT5y53PpJNDXwQhcM8LQMGN7/oJ2sKvWlwUApBqXDkwCAeRleAy1pagCAF/tvPTV+qM22AIBRSQDAjL4N6WR9gQZsCyCyZl2hPhfgUKBZJqCZLpkAXytAPRIAAEA3kgEAADHZExCQATPFWZUyAwkAABhK3hmalX10l7f6AKRzusl1S3B7MgFtLJdgb/yFZg8DjETbAdP5OWgzqoDsRpqbaZFopmVEyUorYHJFxioa0r4KDjh9lWvfXqy3RCXGpTOwAwD4D+0+EIozgmhJGQOAnWwLqOT5Yo2BaUP9nYQEAACQgzOCGIOJFkARVq0GIRNQg7JNMwrbDCQAAIBkLImiuMYxC+UWmJkw8ajOZQL0idCLNOo8JABgLkv7/nFMpumHMUy1Dsu2AEpRhACgiP1jUZ0vQAMSADCp9ZjMqAtGta7dwycDbAsghWjdbrTnAWAkU41FAcIy3Ie5mOcDs82+NHr81KxzfNa+CGXSRkCgl7LjEA1XRrZvQgSiQ1OxAwAA5jLbUiyTTEKJUA6/VXzzQAAa0NcANCYBABMxsQdeTJUMcEYQfQ1fxQAAgIAkAGAi9/tdDgD4Zs6rg2+SAdNrWeAVNmByYccYBgZ0oeDRi9DQbHzZMBFNPHBU2Il6DVrICbU8lD9IL/yzUkd4SGBgBYcWpdqrb4+kPaQepY6+goxLacYOAADgK2cEMbyW1/9G8NwOuPG/tnwYgMgMDKhkoyMWlgVqkAAAAHZxRhCDaTzHVpAAAto5qln+msaci34WOTkAalPGJiQBALPQxAOlTLUt4GbODwDxFOmUTwxjjApowOQdKEsCAAA4b85tAaZkHBJtGv/tFKBQDwkQnFEBkFG0cSltSADAFDTxQG1TbQvQqA5g+FK6bZ26U5iBlrZvIslIJgCA4CQAAIDCpkoGkNGzWDa7/rfUL6oRrBeuAjLqdf7Pzh+oaeUbA2P6UgKnJQEAAFQ01RlBJJIoOrOuO6JLwACeLdjpgUH8BnD90eI/LS2NtwOGdDRKc5IAgPHZ3Q9EYFsAE7reBX+rLDp3ILtJIqEStwB0JwEAALQmGQAAnNgKkDeMLhPAfgoJNVg+MjMJAACgJ2cE0ZjJD0Ao+0cCBVvvjqMOmYDJ/cx7KRhAcRIAAEAItgUwmHrn/5T6+QChbGQChmzuZAJ4pzAANUgAAADhBE8GmJvlFbA4bdg+IFs5BEY1W/vm0uAJ+aJpzMKRyUkAwOC08kB2zgiiLN0iwOQijyhsCwCgOAkAACCH4NsCiK9lsZGABwhre39VEDIBAJQiAQAA5CMZwDnpwijfolTpPggA58gEABdZmIIEAIxMKw/MoPEZQdpVfirb/65LuOIHcF3SpQMyAQCcIwEAAAzCtgA2DFAkRHwAikhxBNAGlwYD+1lBwk0CAAAYkmQAa88y0GbyY5YFQDO2BQDwkwQAADC4xmcEEZPICACL8cYGMgEAfCMBAADM4vq2AJNqtln+D5CLTAAwMENTniQAYFgaeoANJ5IBGlUAGJVMAJW8lChfB9CeBAAAMLvx5vwAwDnjjQpcGtzLxyJkoR7QnkYHhmVgAXCF5VrDaNYh6nkBhjRMJmBNh1XbdrHx/mnA0JSFHQAAAB8YLo9hyKgNAC1dv0MoIAcEVfWznIjMAi1JAMCYjCcA4EmHCEApAx8QpLtszJwdaEYCAAAArjKNB5iKTAAQmaEpaxIAAABwyTDRHwCOGjgTcJMMABiCBAAMSKYXAG5tYzF6XoDJjZcJuNkWADkJCvFCAgAAgAE9YxYmPwA05tJgAEKRAAAAYED3+71N2MUaKwC+GW9bgEwAQDoSADAaYQgAuOkQAYhEJoAX3huVGAPzTgIAAAAAoIWBMwE3Qe2/fm5D9KKAlv7p/QAAAFBYs6iKNVYAnHP/q/eDlPR4PIZJbFy08c0O9qUD8dkBAADAgMyuAUhhvEuDZcefni/BDglaUvv4SAIAAIChjBE9AWBC4x0QhGgs0J0EAAxFshcAbq0m27pdACqRCQCOMjTlGwkAAAAAgIhkAgC4SAIAAIBxiI8AMCSZAADOkQAAAGAozv8BYGDjXRoMXGdoygYJAAAAAIB8bAsA4Kd/ej8AUIx8LwCTa9YV5u1zRYiAOQ3f+t3/6v0gt1urrXgA7GQHAAAADG4d+Vr+LEADzGBp9CZp/ewJgAnlXZtCGxIAAAAwsm8xIHNFYGwbrd/zD2O3gTIBzazf8NiFCkhKAgAAgBE4/weAQyaJ2za+NHjgN/nu/X1Okl4iFENTfpIAgEFo8QGgAesoAVI42lxPEre1LaAg7xDIwiXAAACk1zIRnis2tB2eELwAhnSlcZukYQx1aXBGP8vJJAWJ7BTUSdgBAAAAw7rf7xtTO6EfgHdT7a4uuydgnve2x1QFiVzW9X2S/U+TswMAAAAAGIQFrefYEwAZncgz/bwgnfHYAQAjsLIAgJk1m66YFwEEp6G+rvGlwQDUJgEAAEB6DRLhzyBIxoz7t1OAMn4WAFraf0CQPgXasxiUnSQAAABIzPW/e6wjOHk/BcC2UsvVtZPvyl4VAPSyXYUNFEflDgAAAJiFSR3ANu3kNlcF7OctEdB2sVRoR2UHAKQnQwsAAEBLk09Cvx2vB82IBbGfHQAwDuMPAGbj+l8Anoo01KJplKIsAXHYAQAjWAa7yx+MNgAYXuNbefWtAGPTznPIs8B8zDwpS0T2bf+KcjswCQDI7ds6F3vBAJiBzg4A6OglDWBkQhsXYz7ra70V2hlIAAAAwBZTI4Dgrp//U6Od133MwxdNUoruJCQAAAAAgHmVDYGtsxEWhgPQnUuAIbHtdS6uKwSA66zfBGC/jTNaGz8JMCqjU46SAIDEtlt8/QEAAzPzAaAIvQkAY5MAAAAgGesoAQCYkEUwnCABAIkJfwAwrTYzH10tAPs5oxWAgCQAILdv4Q8JYQAoQpcKwE7OaAUgoD+9HwC4ahlH2ggGAACwnwkUkIiNRJxjBwCMw+AVAAqSWQcAIBSjU06wAwAAgEzE5QEI636/f1yiq+fKbv21+jbpwhiY0yQAICtNPwDUo58F4BxntA7mPaOz/BffL5CCI4AAAEhDMAWALHRYA3DkOjAACQAAAAAgsdOhduFdNvwsHsoPkIIEAAAAOTSbZttnADAJrT0XyQHQhtEpV0gAAACQhpkPAAWJ3gIwPAkAAAD4lwVWAADEYXTKRRIAkJLWH4DZ6PsA2KCPAICPJAAAAACASTkFCICxSQAAABCd638B+EkDTntKHbUZnXKdBAAARGQxGrww8wGgEuMuPjL2AMbwp/cDAAD/Ws8/lz+bewAA7HG/309E8421OEfJAVLQVEE+9n/BqPbMV1V/JvSsGg0Kvx4WYADnlvNr/9nwsVApMzRgdEoRjgACgExsUWdOZj4A7HSuyzDEYsNLobrf70YmQCKOAAKAEPZPO5uthgYAyOjcQUCwwdgbyMsOAABIybSWSSQt6kkfGwCAIJz/Qyl2AAAAEFqbmU+RKZZ7vAHysskSgCHZAQDJyAADQEzfVv3bDQDQnkkTkJrgDwVJAABAf+KD0JcpFsB43AYMADcJAAAAAGBIkrsAIAEAACmZ0DKDRAvzt1eMtl9PagUrMKrHf1X6FTV+LMBOicbApOASYADozCQT+ioyxbrf7xt1udkUzi3EwGzW7d7H5m67fd74sRpPAMZgBwAAABEJvhzlFmJgeD+3W33cFuAyAABmZgcAAADzkmYAyGJ/RN4WKCAvo1OKswMAMtENAE+aAoaXscv79sDpPgjAMJY9Aac3AdgHAEB2dgAAQE9mlfBR0qD58tjtExg/j8VI+koBijDiAmBadgAAAEBh7aPt279R9B/gNMkDoBmLNqhBAgDS0A0AT5oCKEXfCpCFKDwAnCMBAAAAAPCVywAAyEsCAAC6MZMECnILMQBAXqaHVOISYAAAZjTk+T8dbyEGqCdIUGx5DA0sUInmhRokAAAgEyNCYA9tBUA9MgFAcUEynQxJAgAA+jDCg45UQACukwkACtKSUIkEAORgIz8AlKVjBUghRcp2/ZD6FwBCkQAAgK/M5QAA+rrf7ylyAAvbAgAIRQIAAHaJkAwwjQQAyEImANjJqQ9UJQEAAJ9trDW7ngzItZANBmOKBUBLMgEAdCQBAAAf7A/Qm9G19P69eO0AMLx0pwB9Y9wIQHsSAABQRu0zgkwUP4pwNBO5WP4PkNGz6R4jDXAzgAFWjE6pTQIAAF5dn1ua1NXw83uxqg4Axrbu4sdLBhjAAFCDBAAkIBsMqb1P6oaZr0JZ+jsA9htvZCUTABMyAKYBCQAAaGSY2Wl8z1dtJM07UyyA8cgEAMAGCQAASMD07wSh3kTkbAC4TiYAAN5JAPA/9u5tu1FcCQCo6dX//8s5D5wwtG0wBiGVSns/zMr0TCeyY3SpUkkA/CPNihH6IrQBQCmJMwEPIyYkYscSdUgAQHTGAwAAgBNcGgwAEgAAQB+maUqzdKcJOXWAkSUuCzC6AbBDAgAAOuCE9Eei5TpPxOUBqEkmAIjAHJhqJAAA4D/B14GOf/2WWTUAsEUmAIARSAAAQJcGXOCdOAJonDeHj2SDANiSOBPwMB0CGJ4EAAD0zQKPronLAxBHvkzAY8hdIxBfpk6G+CQAACCP3MmAE7NkwWUA4IT1/CFNnE4mAELxJFKNBAAA5GSNR3zVQipSQQCclq8swCwRYCgSABCagAVwXe6ygH2jvd4e+R0B0AuZAKCImKGemK2iCAkAAPjPiWtm+zJyMgAAoIh8mQAAEpMAAIB/zCu6EZZzfe35GuE3Mppqm4zsZgLgJjIBAMQnAQAAbwy1nEtcFiDyCwBUkPLSYOAOMVcoMVtFKRIA0AEdMTQ02nIuWTIgwUvgImMoAJUNtY8EgPgkACCueb64/udDMAuaGjYZ0LznGeHdHo24PADpdZQJMC4DJCYBAEFtzRHNzCCIjlZ017UtCxjhHQYAEos/b7TGhDpihnTCdk2UIgEAAJcMWxbwsFYEAPhG/EwAMCYru9wkAACgmGGTAffNF6+8jWaxjPAYAtCj0SaNwOPyw35T9UDMogTKkgCAiPZHBb0zdGGoHV53lAWM8L5RgRETgOCaTxqNlVDNicdt3TPEuaSNvkgAQETTNO1M/nT0QGTOCOIjmWwAeNU8EwBE43pIipAAAADucmKLSqkVrwkx1kUAdEomAICCJAAAgNtZvrIQlweAgypkAgzKUEfMBZGZ+SD+tG4A8N5WF6xrhr7EnOcBANCRaaV1W4CTvn1+P14Pea05DEQFAIQ2Dw9SsjCa5dlv3RDo1SBD5yAvE4A1BwTBIFwPSSkSANAB3TqMyeruNN0mua37hBM3bQCQw/W5orED6oi5acMycxwSABBUzOEBqOD12V//iVkaXTO6XbfVCXhvAYZl1whwjtnjICQAAOAud6zBJAM+MosFAMb0VSbAlAnquLJLY+sUoOvPr70jQ5EAAIBe2e31yiyWh/UMAMP7uGXEQAm9WC/6PLmcIwEAAIGcm9IpC6ALFi3X7T/g3mEAXtkyAjmY5nGaBABEZAEPnCYZAIltlYEv/7VmYwDoi2ECYEwSAABwiwjB99E2fFnW8pBEBwAgjJhT05it4j4SABDRvL9PdwyUMkJZgD4TAAAAnvxp3QDgDdF/GFOdB3/6VeFnVZPs5aRkaCtl62309gIAAK9UAABAeV3ssh+hLIDRDJJmWJ/uNcLrBQDoUcypWsxWcSsJAACg72SA+SvD8uEHAOC47tZ6FCEBAAD8o6+rgwVAu2CfEQAAQwk7AY7ZKm4lAQAA5c1XeX/7V25qzGldlwUwoLCrLAAAgFYkAADgFidyAJEFTAYI9QIAAMA+CQAAuEuyHMCi+RlBQv8AAEBYMStTY7aKCiQAAOBG8wTrY6C803lYwLIAAqqz0rCeAQAAeCUBAAC3exsoX+oDckQtKyQDcrxRAAAAUI0EAABUtY5iZ41oFz8jKOsbBQAAJKMylWgkACAcQwWQxlNZwLeJAZ1hAgY1AABozrR8ZBIAAEANI5Q+0Ir1DAAAwFt/WjcAAAAAAKB7MTemxGwV1UgAAABwCysNAACAtiQAAADomDQDAADAFgkAAAAAgM9+fn5aNwGIK+bGlJitoiaXAEMs+mUAAIBQ1nH/5WsLNwC6oAIAAAAeD/s6AXhna3QwagDQBRUAAACUV6emrchPsa8TAICUnDPBQwUAAAAjs68TAIDrhNoJSwIAAIDCOtr+DwA79vPBssUAxCcBAAAAAPDGfqZZHhqYxdyYErNV1CcBAADAoOzrBAAAcpMAAABgUPZ1AgAAuUkAAABQkgsAAMhka7gxDAGzmPPSmK2iib+tGwAAOc2Hh0zTtJwiYvrFCBybA0A+yyxOQA2A7qgAgEDMJiGNJQa6Dob+/GrUKKikr7HMvk4AjjM6ANAdFQAAUNKR+P76/7GMhObs6wQAIBPTWtZUAABAMXb3Qx03LWkskwAA+IpQO/FJAABASw4FAgAAAG4iAQAAZYjjgw1QAACMw+yXLkgAAEABov9QjYUWAABsMVvmiQQAAFwl+g8AAAAE9Ld1AwCgbxej/7ZmkIatRgAA0JY5Oa9UAADAefb+w2KaJk8EAACDEGqnFyoAAKANk0WSqbMEstACAAA4TgUAAJxkszNwHz0MAEBYMXelxGwVzakAAIDazMngnBGWNOu4//J1+lcNAADcRAIAAM7IvTn34KsTlGQxQmi+gq1Hz9sLPJm7Cz0DAPCRBAAAfO1K9D/mWv3cK1r/rZivCwCSUScE0FzMzRkxW0UEEgAAUE/MCVmRagYxCABoxSgMAGxxCTAAfOd0uDzgmvzn56f4WUa5D0firTq7jdLvadp/djxZwONAV/Dzq057AID4VABAFOnjGkAot4YG7EOEE6Zp2nkwPU3AV2O3sRgAmEkAAEANcZbfNXcFSm0CQFsu7AEoK+YaJ2arCEICAAC+cC56PvJUbH7HRn4H0rPYAOiFsgAAGJAEAAAc1fuJur23H9LbOgVIqA4oSyYAAMYhAQAA9wqytG4b/VcHwEXj1BksL3OclwwccdM4LhMA8JWYM7SYrSKOP60bAACZBZmHBdn7H6QZFGSxcR9vLFDTz6/WDQEAiplHdhUAAHCIJXER4sUAEJlLgwG2xFzLxGwVba1H85+fHwkACESvDclEeKLlLUjA+AgMrtVo7oAgAOjO67RBAgDae8rLzV+YZANZuQ8AAPpikQIA/XIHADS2tZ3Hpl3oXYQVsp4EACjIVQHAsNSk0i8JAAD4rMeFbvA2B28eR1gFAVQQc8SUCQCIwIScJ2+HZgkAAEjIgpw0rGoAIpMJAIA43i6dJACgpf2Jsmk09KttvLKX3qOXdgJAQ70kQX9WWrcFAPiPBAC0tD+b72WuD4TS16q7r9ayZmM+QB09jpUyAUAyMae+MVtFQBIAAPBBR8vXjpoKAKQnEwAAlb2mhSQAAICWBAXYYVsTQI5uUCYA6FfMGakelR3Tr/nrv63bA6Obpultrx1wdAEOavX83jQFfH055poAUNPWkqFHywux3gG4SEfKR/OHRAIA2psn9Ms/WzcHeNbFqrtsC4/fUFLk5+r9uuNXBlDZ0uvGn5MctH4hxhQAuI8EAARi4gsxxV9p14z+v/7P8d8fOiXNAPCqeBo+AmUBAHAfCQAAKKzrqOWJls9/JU0MAgB6kbgsoN+pFJBMzMVdmm6fOiQAAKCwyhPEUpO/i82+WAoQc2LNW35ZANHIBACMRvfIcRIAALAn+EI6SPR/+SbB3y4AyE0mACA923H41p/WDQCA0CJPrUJF/4t/KwZnYQNwxfSrdUOK+Vm5+wfd+v2BjoSdkeqp+IoKAAAAAMjJpcHffs+bvj9AQXonviIBAABdKrKGv2Pi6CAgAIjJAUEfv8/rn4uyAdA7CQAA6E+adfuaNTYLHwaAW8kEAHwUc0Yas1UE5w4AACisl6Np75s4nvvOJrJdsOQAyCTxVQGtGwIAUagAAIARZVrqAwAXJa4JeHya9uy/ZJlvAHonAQAAPQl79P91FtgA0NyAlwbvX19kcgJjirk2idkq4pMAAIBuJI7+w8LCBiCIxGUBBhrgVia0hCIBAO0ZGCCfO57rvqL/+5vpAICOyAQAHLHuJPUzxOESYAD44NyMrewKubv1dncN5ggZa4DBZb00eOu/ZnqlwHHnJr1bnUmplZGpOKepAACA6EpNGc0Xic/CBqAL+WoC1oxEAGSiAgAA7rK/p+z4NynSmMpLWSvnfOqE5h0eBdCXfDUBj98pnPEIgBxUAABAUAWXnV0sy7toJHdTAQDQqXXvnSZ07ghvGFDZ83+ufM+y34GRqQAAgHud20HW+8p5wJcMAMzylQWoCQD27fd4mfpDeiQBAACfXZ+xHV8xFl9emm4CAE3km4TIBADQHUcAAUAl67Xi2/XwHYvJjhbeHTV1QIqOATghcaD847wO6FHMSW/ivpQ6JAAAoIH0czhXuXJCzBUXACcMNQ1wVQDw2F4BFekZdC9cIQEAAIf0GNFuOE3s7r2COiQ5gBEMOw2QCYDBLc++KR+hSAAAQE5mnPQl9zJpHQsTHgISGzb0/0RXDz0qOB0t+OznniRTh0uAAeCojiZeHTWV+Kw6LtoKhwmTAcno1l65NBiA5lQAAMAXujgISKwWAKgp/uyoOTUBALQiAQAAFCYKAADjuHXcXx+ofd9PqWn9QiQDAKhAAgAAvhO5CMAyEqLZ7y4crwR0rU7o//Vfw87EvqUsAOKIOStL093RlgQAACQRcMJ6XNeN57qYK64i9lOGWV81MIL7wlIf+8bEZQHGBeCJboHrJAAA4GuRiwCa884kkzg0D8BpNw333444MgEA8JEEAACcES0HYJUIAPTr4kwmaybABA/qiLnlJWar6NGf1g0AgF7FmY3FaQmckH5ts/Xqcr9qIKufn5+yQfZpmgr2h9OvUt+wrTT5DAAaUgEAAOdFqANIsMRN8BKySh+ar2a9NdVbCvSreOi/4Hfb+ebNZ2unGTJgWP12XASkAgAALmm7MIu2LDRPhX3RnlmA4wqO8pU36fdbFmBmBRWE3Z8Rs1X0SAUAAFzVpA4g4HTQGhUAsio1ygfZOWHSAsA4JAAAoIB5PVltMRkw+n9aptcCAHRBJgCITNdEWRIAANCZmBFzk9R86lRDh625BmBRZJSP2dsHzwTEfNMgk7Bz0ZitolMSAABQzN1rSLNA2Bd2CQfQr8TR/7UclwYDwCsJAAAo745bASKvnK2TaWv9CVy+jvzIAAyluw45eFkAUIq9IwxCAgAAblFq6Zh7Spr71VHH1iNmRQdw3eDTmMqXPL396cBoTGIpTgIAAO51oqK8rwnf6VVxXy9zNC4AAOCiND38HZWdAFCNBAAA1LO1Eu43DGo9DABZGeUBIKzjYQQJAABor9Po/xUDvmTusB+c6je1BtC7ZN1v/bOAkr2BEJCJIp06cf/Zn3tbBAAk9fPzY2Mgze3PdC3qAE67MsrrfgHOkZZg3879Zzt/SwUAAAAAwAcnLgM4cRcUAJQlAQAA/zevymy4OOLiCtabzMP+JoCk9O1r68Fu+WJ/HuUNhApiTkRjtooEHAEEAI/HaiX2s9K2SVmZ1FLW1ifKJw3gNLOgLUUGl+nXTd8fgJQ+3n+29Z9UAAAwup1h8uCNOkMRERhBd5uP1nsq+2o5QDI64Vc7Y9NTTYB3D4Ad+yfR7QwiEgAADO1gOHv9v1mbXeHd41Y+YAANDdIJn7gJ4GN+epC3DoAmJAAA4DvDlgVc3/s/2jvGDlv1AcJS7QfkFnMiGrNV5OAOAADGdXF9O9TyeKgXOzhrDwDYZ6AEoIlz95+pAAAAPhD9BwAAErDZhd6duP9MBQAAgxLUrsw8m4V1F0BYpydIo3Xs375eM09gh+kxJxz/zKgAAGBE1mAHlXqjTGcBAACgPhUAAMC9RP/74vcFAHewAQWAJiQAABiOXe0HWaYCAEf0MikqO7fp5VUDi5gn7cRsFZlIAEAIomzQHVO0g7xRPLHCAcgn+HLm59fT101a0uTnAjAyCQBoaT31bDsTBbiDOC+vpmky2AFQzdagU2Qw+naqY2oEQH0SANDMrTNR4D7TNA2yeLv4Mgd5l/iWCgCAfHTsB1nrQUMxZ6ExW0UyEgAAjMW66yunJ6NmsQAAr8xFAahMAgAA2HOi4kH0HwCGEjaovd+wJs02TQKgMgkAaCPgTBQ4Ytg12/TryP9Wp0kAAPv2pyVFJi3ffhNrPWjCSTuM7G/rBsCg9q9ANCxBTJ7Nx79vgmk03/KZAYhMbBqgJnNj6lABAMBALGvLMlsFAPiWGSkANUkAAAAAADlT+1svquCLTfm+QSY22jM4CQBopsJMFHhy5fnybJKb3YgAXBF5HFlfZXTwWqOvRH7tQFjSElQjAQAtraeed8xEgSeWZ9BQykWOXgWgIzcNQ/lGNwAycQkwhGDKCAAdWcf9l6+N5gAA0aTcgwJfUQEAwEDM/OAt66KvbO36Vw0AAMARpt/UJAEAAJ+ZnAEA7JMHPc57BUA1EgAADOT0WssiDQAYgU0PdXifAahGAgCAgVhrQStpypz304GShcDgxuwGT7zqMd8oqC/NFBSukAAAAICj9teQVpgAA9L5A1+RAqQyCQAAAACgjJ+fH7EtgH0Sh9QkAQDtTdNkigzVmGkBANCWGSlU4PwfmEkAAMAhEnVkVWFplGz1tfVaMr1GYGRFerOhJk7uAACOSzYxpgt/WzcA0PsDQGeWgdsgDrBFDwkAEagAAGA41qJAKfoTIKVSnZt97lsMH3C3mDnImK0iPQkAaM8dANALjyr5WIQAcKv006f0LxCA3kkAADAiEU8AgDqEyAGgIQkAaM/uS+iIFSx8yzAHgBkUUJP5J6xJAEB7jgCCJswIAQC2FJ8ppVzypHxRwE2kJWhFAgAAAAB4dkcOQMQcACqTAABgXOeWtRauAACnpZlKpXkhkIyN9vBEAgCAoZkaMrIKqyMLMICu3dSHJygFuNJ+IyMANUkAAMDXEqxaAQCOuC9abTYFjMO2GBqSAABgdOZhAABNdLqposc2AzAsCQAAOMnaj67ZhQTAQRXOi+soE3CxnQZfuFXMKW7MVjEOCQAAOL8S62WlCgAQX/w0QPDmAcArCQAAeDzsxoIb2OsEkMY0TdW69LBB9rANA2Ymn/CWBAAAyR3fSnZusmgpCABQVrRDgUo1RmgSgPr+tm4AANxoWaqt12zFl152mtAdH1oATpimqXJQ/tYpHEAFJt40JwEAQE47q9OdleTpZa1ZHR2Js6ESgO7UzwEslp9bc9Jl0ASgd44AAmBorwXmLgQmvfkcZ59YAM6peR/AW3cfEDR/5+I/wmYRAJpQAQAAj4fwPZSmLAaAu73O364MPfPItUT/L7XshTER7hZz8hmzVYxGAgBCmCeaRgXonQeZXvisAnBRzGKyt02ah7z12LeO9X/86wDQNQkACEEgBspquHjzOAMAg1gC660b8sHSwnVTazbb5BDuZhVGMmU/0hIAAFCY2SfB+YgCUFDMUgCA5sy6+dbbRPX1T5FLgAGgPMtgAGAcIlw7vDkAHLEVRrgeXpAAgBDsmoGCgjxNP79aNwQasN0JYDS6/be8LVCBmSfscwQQANxrnQMwMQUAslpfsdu2JQDNSUsQhwoAAKhHWQAAwCDE/gA4aD9KcDGGIAEAAA38rLRuCwBASdM0iX17B6AXVmREsD9qXBxTHAEEQCo9zt6cEURNipEBqGPke84MtVDN6cntuoNavi718JpyE4oEAAAEUnzqCfVZ8AAwcysAENNWp2QeS0qOAAIglTTTNWcEAQBppJmhfeT4IwDO2Ro+rg8rKgAAIDpnBAEAvZvnMHY2AMCWdeVcwbW/BAAA9MQZQQBAv9YTmGTJAHMzqO9ckHS/87keeHWOENeV/Qg5AgiiGPmOLChrkMmWM4I4wWoEgDgyDUmZXgukt//AepzJRwUAAAkl3lz2lrIA4ug0x9BpswF6l+NcICMIAJFJAACQ3FDJALcFwFfWj4xEGkAr6yOP27bkW4YMaCjmBo6YrWJwEgAADKTf5eUJkgGwb6sfsGwDaKWjqZqRArq2dQizR5uUJAAAGNFQZQEPW5sBgK5EzgSYTUEO637Gc01uEgAAjG6oZICyAACgI6HmaeZOEEfBqH3BR1sugZgkAADgP5G3mxUnGUBxHa159p/xjl4IwDgaztMMCgD0SwIAAN4Itd2sAmcEMZqtg1+X/1qzMQB85bWXvmm2ZjgAIAEJAAD4YKhkgLKAxHrc1d5jmwGo7+1Z3l9N2+bEsEEHuuBpha9IAADAF5wRBBWsP3vKUwA4bj1YfDtwGGiAK6QlCEsCAADOGKos4CEI27+OFiRbD1Txl7B1ClAvbxQAAMBHEgAAcNVoZQHCoz1yssFbb4+MAAAgLNM2+JYEALTnoANIY5CyAHNu8vGRBgDgNEskIvvTugEwup2DDiq3BChrWmndFqixJinyI/aHP4MjAADAVyQAAOB2MgFw0P5j4iECABiZjfZwgiOAAKCeQc4IAgAAGIS0BMFJAEBLHw86MIRAYpIBAAAAwK0cAQQtOegAmDkjiN4VTFpvfR8PCAAAwLdUAABAIF2UBYjDdqe7krKltd21HACAoZivEp8EAAAE1UUyAG5lNQUAwEyoHc5xBBA05qAD4AhnBAEAAADfUgEA7a0POngI/QO7lAUAAACjsf0fTpMAgECmaRLOA45rkgww7e5OhcWS9RgAAAMyDaYLEgAAkMFTLREAAACAOwAgFkUA9GL5oP78/PjQhjKttG4LAADAVTbawxUqAAD4zjr0//qHpmWhuDAAAPjKci2Z+8kA9klL0AsJAAC+8DGIvP4fTIZCKXJGkN8pAGSyNSt4u+FjZjIAAH2RAADgqG8DxzaOxaQsAACGdX3of/sdzPcAICwJAADupS4ysq+SAX6PPfIAAjC7NevvNEjgPjEntDFbBW9JAADw2cUVo7lRF/bPCPIbBIBO1Sz4kwkAgGgkAACoQQ6gI69lAX537PB0A4TV8Kw/90IBQBASAABUIkrYI78yAOhRqGt+lAUAp1lFwnUSAAB8EGoBCQDAvrCTN5kAIAdpCfryp3UDgGfTNIWdsgPAmsUPQDRdLCV+frVuCADkpwIAACAn0XmAofQYT1cTAOwwm4UiJAAAAACAllwaDPRCWoLuSAAAsKfHrWQAAKPJNGdTFgAABUkAANArOy8AADKF/p/IBADAdRIAAHRpXhBaFgIApGfKBwOKud8rZqtgnwQAAJWUmie93ebm3Fh4YnECMILE2//fkgkAgG9JAADQkyOrXMkAqEOOAaCt0aL/a+Z7AHCQBABENE2TqAoUYZsYAJDSyNH/J+Z7kI+QCBQkAQBAN64sdG0TYzRyyQCMRiYAuJXZNRe1+ghJAACwZ44hFvk+179JKRaHjGDA9cmALxkYlu3/+0z2AIhjPWo3GaEkAAAYl7IASKD5fBqAsIwL0KOYuzpitor4tnL2NT9REgAAfFCqCCA4yQDoUYT5NADxyQQAMCwJAABuV2ShVTMJYYlI7yqEv0XYAZoYYVvGrez5AGA0f1o3AHhvkD3X9GL6de7vFm9PNT8rrdsCAFDDPHlbz/26ns7tMM2DgGLuMonZKuLbH2KqDUAqAAD4wsipKfvFIJqP82mPKsARr73la+j/bY+aZlqo+hOAO+yHUNwBAEBQyxD1ccmXeAVllQgRBJlPA/TrYld5fFrYC3M8APKRAADgpPW6aF4szX9yx67bsKtKZQGMyeZ6gCYKzojKduMyAQAQlgQAAAWsl0bDLpMkAwCA+G6dpWTNBJjaQR0xd5nEbBW92KparvmhkgAAgPLsGqOhoZYoEebTAB2p1j2+looCwJjW2fEm6xQJAACi63rRqCyA+uaY+Dift+bzaYA6rs+IWnWS+coCAOCEVgOxBADENVoEB9KTDIBbeawAdkToJGUCgB0CIHATCQAAaMAZQdzH2gmAJ9HGBZkAoBem1iQgAQAALSkLAAA+uhIojzzBkAkAgovchcJBEgAAhDbUalAyAAAYk0uDAeAmEgAAEJEzgghLHTRAR3rssZUFwIDMMOE+EgAAEJqyAADgnN5nDkEyAb2/jQAMTgIAQpumSRqcCuY1lU9afJIBAMCAgmQCAKBHEgAAg3pdPgU8c+bcGm/OnBVvTDQBf18AALeSCYCUbHyEW0kAAIxof8mUYJv5UIvDBL8vCrJ8Asjn9JaI4i2Jo9qlwbnfRgBGIAEAwJ7uTgd6amq1xWEQkgEAwGiG2vkBAN+SAAAYzomlUZM9xcWXcMMmA2QCAKBrgxxveJ1MAAC8kgAAGIvl0Gyo9aGyAApyxBBAFwbvq0vN9AZ/G6EO00u4mwQARDfv9zEc0lzWz6GyAAAguBGmKDcZas8HALwlAQDAIV3Eiy82cqhkgLIAAOiFI4CuO5EJMEECIAcJAICBnF46JrgA4FtD7RfLWt4BAPDk4IYPUyOow0oEKpAAABjFCIHsOwxVFkDvrKAA4LihNnwAMCwJAAD2dBRMrNBUyQAGJ8EAQEpPmQCDHQCZSAAADEG0ujhbxgAAkhH6h5psLoE6JAAgrnVUcfna6MgI+gqp5ygLMPkGAACAfP60bgDw3lYYsd/wIj0SEf7W9Kt1Q77WY5sBAACAfRIAALzXV0Q4WmunldZtAQC69+2MwrYhIDglyFCNI4AA8utrBdhXa4/IcUYQAAAA0B0VABDRfohQABH6pSyA+9hFBQAAwBMJAIhoP4IjvkMFPmZ3C3VGUIQ2EJ8EA0BfbBsCAB6OAAIggd6Dks4IAgAAxmFnCdSkAgAgub4Cyn219g5xygIAgFBMDwCAE1QAQFDTNL2NhJr3wyCqlQXoVQAAACArCQCIa4nKzcVxSuSopq9PWl+tPccZQQDACVYQQEC6JqjMEUDQgXlo3KoJgB0+M/k4IwgAhmUCAAB8SwIAILO+VonSFV+ZVlq3BcrQCQAAAJTlCCAA6N7pM4IkD9LoupJ6/aFdvu735QDc6tuy4K4HCADgOhUAAHTMgvbV8bIA7x7HFY8fLdGrrTCWagAAgHxkJaE+FQAAmZ2LoDWZkwn2FefqYAJ6u9kfgK8oAgAAjpMAgJ7Mc33Td+BbT8kA3QhNiPgDFKE7BQZnRQNfcQQQAIzFXJleiHABvHViKNejAgn8/Hr6GtgnAQCQWe5Qb+5XB3jGAbboIYEeXdm57+IoOE0CACCz05OhyrMokzZIz2MO0JZ+GADGJAEAnfn2yi84zScNetHFKajxWwjQ3M+/9v9n/SoAcIQEAEBmF1eGkXMAFr2wSJkb9owDHE8GHP+GRb4PwAl3nP9z5L8CEgAA7DGXAipUGEzTNP+I6detPw4goI/hrddMgN4SGMR+d6czhH0SAAB8cHcOQI4BLuriCKDH9tps+fMuXgXAHY5Phy7WBJh3AcBo/rZuAAAd6CW8CAS39CR6FYCLruQAmvTAen4YmR4AGlIBAJBcqWlWwfNnrzN3hN55igEaqjmpW5cslL3SABjKx1pSYIsEAPQn5WWP9KL4ms2HGQAgq62ZnhkgcML6sigXRxFH/EHNEUAAfG0e3ky2AACuaxI4cBwH0C/dFxGsh+/l65gfThUAAJzUKssdc0CFVkRwADgn/o5FIAfzVfLpq8RNBQBAfvcdG7X+tqZ0AAB9uXXH4v78U0AQAOpQAQBdcg0A36qwvjpxq5uPMQAwuCDToTuu592ff4r+A0AdKgAAKExZAGRihybAUIKfYgx0x2SSfLorcZMAABhFk8KR4smAaOMoAEBKMgEA8NZ+dCXguCkBAEAllpEAAGtBzv/Zd2U/x1aIxGwQAKqRAIBezZNpU2e+EuT2iAhtAABoLsjc7LgT+zmW/9PiBQbkwYcIXAIMAAAAfOHEpcGCgACksTWoxRzsVAAAjGUejfraa7aIOZQCAAzLGY8AjKmjEjcJAAAAAOASmQAAxhR/4IvePmBf/DQjkXVXB+DTDq9uHQiMMgDVdDcxO8IgAiMzk4QgVAAAjGuEe+cAALqwPkmgbUsKMnkDgOYkAACG1l0OYLZus/UkI7OvCiCfdcfe4zztLZkAAGhFAgBgdJ3mABaSAQBAVvnKAmQCAKAyCQAA/r8AS7CwtKQEAFKSCQD6olAV4pAAgL7Ne7cNqxTReynAmrIAACClxJmAh2kbANxAAgCA/+RbUj6sKgGAjHJP28zZAKAUCQAABmJVCQAk49JgIBoHFUAoEgAAvJFyT9masgAAIJ98UziZAAC4yAgKGciuU0GaZeQ+jxJ9ubX/N7gAJJBvCmdsgvhMIyEUTyNkYHCljnwLyB2eKeK7u/M3uABkkm8iZ5CCmMwhIRpHAAFwVL6i8h3OCAIAMsk3kTNbA4AjJAAA+FrKu+Z2OHyWmKZpssEKgG+lnMiZrQHAFkMjJCEGRARp1pBHeOKIIMgdAMYggN7lm8UZmKAJ00IISAUAAMXkKy3foeqc5pqvr9ZPga2XAF3LN4szMAHATAIAgPJSlpbvsMJkQFuPdvO0BABX5MsEAMDgJAAgDzEXYhpqGaksAADIYagpHAAkJgEAfXuajs//KuxIQAMuHSUD6JqkMgCz0So7ASCZP60bAJy3c/xC5ZYA+35+tW4IlLH/YfZRB8hq+tW6IUBEdpBATCoAAKAeZQHkME3TTpTfZxsgvY4OCBKRBGBwEgAA0IZkAADQu/iZALMsAAYnAQC9+nj8gpkucZxbEMZfTxa0vEZPLgDQo6FmbsArUQgISwIAeuX4BcYx1HpSWQC92BqGfG4BBufSYAAIRQIAgIjexhBHW09KBhDcOjnnIwrAq+bbOAxPACABAECXhk0GWMcyCxVzj9MSAGJqngkAgGFJAEDH9k8BgiAqfEqHWlIqCwAA+jXUtA3GEWpvCvBEAgD69vb4BZNphjVsWcBDMgAA6EqFxYvZEQA8JAAgDbNbMinyeR4zGaAroAh7uACoZrQ5GwBUJgEAwI2CrOLGqY8RtwUA+jXOnA0ysQaB4CQAIKH5bgADMLyyxQwAIL7rmQCrIQCYSQAAMKiUyQBrXQAgEzUBAHCRBAAAsTQJYadZW6r+GYRfNACj+Wq2ZpQEgIUEAAB36TGYnrIsgHwc9QbAsD5mAoyPUJNJKcQnAQA5iQ3BdZIBAABhmaoBwBESAADcZU5EfftXbmrMRb2cERT2DQQAMom22ShUYwAgFGMkZBZtXs6YvoqY9/WJDZgM6OsN5LS7u3fDBwBvvZ38GDJgWCaN0IU/rRsAQHKJZ4TTSuu2AADca2vrQ8AtEQDAwhFAANxuhBNaI5wRJA8BAAAArEkAAFDVVqA8TfB6hGwHuSnlBgDgI5NG6IUEAGQ2X8FqSCamET6ZkgEAQA77MxmLDgAIyx0AAFCD2wIAgH7tz2HMcAAgLBUAAFDVTWUBFt4AkNWRCcNc+/v4nRLYkg8AzCQAIDmnAEFkzggCAF6dmBUsf+X1i4esAFCa/gQ6IgEAACFsXY8MAAzivjnAa1bgRORuKTJ4/fMrbQOAaJKluCQAID9FANCXb8sCPN0A0Lv66f9zmYD1fgUzEACSWQ/HV1Lm0UgAAEBcygIAIKsgg/vrSUFHJIiGAMDa1ricIOctAQAAHXBbAABkEnM0z7TbEbhPgngoDEUCAAA6Y7bNfSznAO4WM/T/RCYAANL407oBQA1bF3YBwJrxAuA+Pz8/3fWxPbYZAL61P9j1PhRKAAAA9KTUJv3eZ7EAfem61+268UBZCkZJaf9T3ftn3hFAMIp5U2fvfRYAF62DOE54AKggR/TckAEAnVIBAADQkyun9Gz9xfuCUznCXgAsHAoEAH1RAQAAwP/dcb6QTaPAsBIHytUWA5DM1karBOOdBAAAQE/ix1x26gyCtxygoMTR/5n8LgzIdI7clo93so+6I4BgIFdOjQCgd/tDgAECoCCdKgD0K1P0/yEBAAAwiP1ZbLI5LgDV/Pxq3RAA4A0JABiLIgAAbqXOABjcyKHwYV84DCLZoSgwDgkAAACKUWcAjEwEfOT8BwDEJAEAw1EEADCsrfi7uDwAAEBKf1s3AACAepZY/2sRt7JugCtsslnMb4UxBQAiUAEAADCi17hMqRIxdQbAgET/X3lPIBM7RaBfKgBgRHOIx+ANwE126gwAGIdRAACakwAAAOAu4j7ACCpsdf+4g2f5r9H23TsOCADaMgbDuOzHAejRfb23cQHghJsC7tc75HWv3jwrYHyBrpklQtdUAAAAAEAIBUNs62/VPBMgeggArUgAAAB0QwAFIJSC8fQ63XvDTICzgACgCQkAGM56rr98bSIO0AW3uAPEUSqG3qRXb14TAADU8ad1A4Cqtub35v0AADCgaaXCj7PugO7YfQK9kwAAAACA7xQJZFcLux9Upz1yAABQkwQAAEA37MACSCNsfy4HAACZSADAQPbn2WbhAABQR9jo/6zmoUAAwK0kAGAg+zN483sAADjiytaZvgLr97XW9iPoQsHyU089tPK3dQMAAACgGwPGsKZpGvBVA0Wse4/l647yoJCACgAAAACood+Y1x2lAJIKkN7WY+7xh5okAGAs/S45AACgawmm4gleAnBcwfN/gIYcAQTDWcbv9Vgu/Q4wOAs8gCNOT5vT9LHzCym1fDD6AMDdVADAuJ6m2nIAACNzvjMAx4naAx/tzy3NPKEaCQDg8TCDBwCA26ScbJe6FUAQELLa7yJSdowQkwQA8H/2fgIAwA6z5VdCeJCVE7ogDQkAAAAAuIsI2kcyKwBwHwkA4D+KAAAAoKARov+lzgIC8tnqHHQaUNPf1g0AAKA9Vd4A+1JulInT+cdpCVDW8mh7zKEVCQAAAAAYyDqZsXx9MTCnmBgyuSNYL/oPrTgCCHhm4g4AAFltzfavrwJE9wAgIAkA4B9m7QAxyc4CNHSuEx5wan3lJRvpAOAOEgDAGybfAEH8/Hr8ds66aAAA7uOwfkhGAgB4ZqQHCOK+UxoAGNP+CFJkfLGaAIBQJACA90SXAADgkev8n/1WxWwzAHCFBADwhqk/AABwzunVhE1I0JzzfyAfCQBgk/k3QEMVTmkAAAAgNwkA4D05f4C2nNIAEMSJLjdyL73VtrJtjvwOAMBQ/rZuAAAAAMSVr+hqic476wMA0lMBAGyapinfagcAAJgFjP5bgEBDkoKQkgQA8IEpOEArdU5pAIA7nButjHEAUJYEALDH/BugrenX+l/bNglgKHbDVOYNB4CyJACAz8zCAZoT9wdoQvcLAHRNAgD4wJoHAACow+oDWnEBAGQlAQAcoggAAIABmQZX5g0HgLIkAIDP7AIAAAC+ZR0BQBAjJ5j/tm4A0A31gABZ6eEBCMJ4BEBB67j/8vVoY40KAOCQ0TpHAAB4nJoGmzkvTmy3HHmHJjRkOwgpbY0po401EgDAF0brIgEGMU2THh7gLSHsK8QTAaA5CQDgKNN3AAAAAOiIBADwHRuaAAAYh00wV5xYO3jDAShifwwaKrolAQB8wXQcAIChDBUgAMbkAgBS2v9UD/WZlwAAvmYVBJCMVR/AlnPdownzad46AChLAgD4jggRAABwE8sNqMxGEEhPAgA4w8YcAABGYN4LAJ3aSm6NlvT627oBQH+mabIQAgBgBKa+ANCvJdY/crGLCgDgJAshAADYYrZ8wrChGQDuNvIQowIA+MLTMmb+15H7UAAA4C0pEACIQAUAcNTWDN7MHgCAxE7vdzFP/pZ3DCob+VAUGIcEAAAAAAAAJCQBAAAAALcYdkv7uRduJzIAFCcBAByyP4MfdmEDAAAAAGFJAACH7G/GsVUHYCEnCsDaz8+PoQEIyAUAMIi/rRsAZGDeALAO7ixf6xsBcpimSRD/OOf/AEAcKgCAMqyIgJFt9YH6RgBmRgQAoAkJAOCorS050zTZrQMAQG7XZ7xyAEAc6vhhHI4AAr6wzA/ezhVMIAAAYIcJ8xZvCwDcRAUAcMbrBN2UHRjW/o5O+z0BGIcbjwEgGgkAoCTTfWBA+xnQMfOjhgMgpSJduhA5AFCTBABQzLwisp4BGNbPr6evAXiie1wbM1kODTmODIYiAQCUZA4BMKytYJYgF5BJwelusu5R0hcAYpIAAMoz9QdGsxUPkhYFYIegOQBwNwkAqGScyb1oFzCm6dfT1wAkU7x7H2SZsMVwCZU5/wdGIwEAlcyRoHHSAIO8TIBXYy6o9rt9gwLAvivLhOZ97DhrHADokQQAVDVIVMhtwACj2R/gBhn+gHHcVOb11fzZvesAwBESANDACLNzsR4AAPjWwZVCnHvXr/xEx+UBQAUSAFDbMs1NnwN4jPEaAQAY033B6y529MdvIQDwkACAVkbIAYzwGgFYbAXC7O4EOM1cGijLDcAwIAkAaGaJjyee1ptYAAxl+vX0NUBWFXq51/VC83vXcy9hACAZSzJobz17zhcomV9dvtcF0MRNm7bsBQO4onI0fJqmnZ94a39e8JUad6AJsz4YkAoA4hpnU8l6j2S+V531dQHUZ8EGwCPF1NpwBk2YTMKY/rZuALw35rA07+XJt2V+f48SAAB0LfeWl6yvCwAGoQIAYklcCpDvFQEAwCLCDp6ybbjprP8IbxQAjEMFAES0lAKkmRzne0UAAPCkeeXr25++bDD6OBW3ZQcA8pEAgKDWxwE9UmyTab4cAgCAuwWc9C7tidCwBOsa6JQNeTAsRwBBXCkvB07zQgAA4C0hti3eGQCoTwKAiOSlnyw5gN6j58mSGQAA8JblzCvvCQA0IQEAfViXAnSdCTDvBwBgBMsEHqA5+yxhZBIAhGNY2pHmUKCuGw8AAHzFEg8AWpEAgC51fShQggQGAAAcsd7BM6zBXz4AtCUBAL16OhSodXO+IwcAAAAjEP0HgLYkAIhIXPi4ftMAVgJAc311mwB0bcw6gAFfMgTkpGUYnAQA4dgbfkK/FwN012AggfVt6r3frA5AX4aKwQ31YgEgLAkAIuo0lt3cuhSgi3fPLxqob6vP0RcBUMcgtwKkf4EA0Iu/rRsA703TtESxzR2PW96r4O/eU6AtclMBAOAO85KndStuYWIPAHEYlYlumRObRJ4Q893bWeeEaieQUu9d0E1HuDoZFqChZGkAAwqEYpoH6ALoQ8xAdi+ivXu9R9+Afn2MsATvhe5bv1kZAkTQeybAUAIBmeYB7gCgD+tLbnufFtfn3QOY7S9+LI0AaKvrkajrxgNAYhIA9GQdyG7dlv4ESQPs/2i/WYAdiU+LBmDW6f3APbYZRmD7P/BwCTA9esoBGMy+ss4BNHnrRK8ATrOEAxjE0tvHnzkbmAAgOBUA9CrIfvZOrd+6aO9etPYAyWzFKcQvAAho+tW6IW+EbRgAIxA+Os5oTQaqAa6Y372ab93+JcD12wMMq7sN9S4BBuARIORhyIBemOORz9tB0Od8n3eHPKQBTlv3nnXevf3+Wg4AYMtNqziLQ4AeVc4EGCmgO+Z4JLO/o7RmS/rirSEbaYArmlQDvP1xcgAAb0kAAPBq6caLpwSMDtAvEzzykQA4x1tDTtIAp8V56+QAAF5JAADc5yms0HXHuJ5Lf5UV6PpVA2smeOQjAXCOt4bM4sSyu1P/UKCtZvjdAaxJAAAU9zE+rocEemSCRzLG69O8L+RnI/kVzd89UxaANfcAA5RldzyQldkd+agAOOdP6wbA7W46DXMQy7vX8A30uwMA4A7fzjN/ft3UHoBSRP+BhQQAQzDsXTH9arLakb8BAOAOV2aYZqcAQC8kABiFHMB1raoB5AAA7maPGDAUu/gBoEdbaxZrmX3eHeBrTW5Xbn4bAUAE7gAAuKhg6F+3CYRVdmpnokhAPpbHeZuAk+qnAeQAACQAAK4ou/FftwnEVGpe97bP1PVBdxwBBJw0XwzwqFhD7SwgAABOE/0HOG6rz7Qkh+5IAACXVE4DyAEAAHCC6D8AMCYJAKCAmmkAyy0AABoyHQUic64j8EQCACimZhpAEQAAAAeVmjou012A3Pa7Tetx6IsEAFDYOg1w3494VLx7AACAfpkxAnxrP9kpFQp9kQAAbnF3jN72KxiEqA0AEdw3+TTSAQC3+tu6AUBaTzmA+5ZMMgGQzzoasnztYQfgK0Vi6xXi/kY6oBQLZOCVCgDgXk8XA5Td4nT3WUNAE1sPtYcdgByMdEB8W4kECQbojgoAoIb1FKFsQcA0TXNewSwEAICCTC+BwS3doBU3dE0FAFBb8esB1AEAALB2faop1AWw0CVC1yQAgAbW5wKV+oYFvxvQ0P6D7DEHoIJbQ11GOuAm9ukDb0kAAM3MaYBSpQByAJDD/qLFkgaAu9091hjpAICaJACAxtZpgCKV2nIAQGJzh9m6FQChXeknxd8BgGRcAgyEcDF2//QXy94zDAAAAAA9UgEABHKuFGDrf7ZJFjq1lb2T1QPgoy62/xvpgOJcAABsUQEAxLKUAiyLN5MYGNDy4FvJAHBcF9H/px9Xc6R7+/4YZwEgNxUAQETTr8e1hZwiAOidqAQAFTQcbtpG/x+/O29MmwEgKxUAQGjLoUDLvz79Dx/XKu4DAACAjxTgAkBKKgCA6J6qAZ4i/vvrkyJlBAAAxHd6vife/URBAHQn5rGZehIIQgIA6Mb6pNSvZhJyAAAADO7b4KDJM3CFPgTikAAAenL6bgA5AAAAXgXcMxuHyTNwhQ4WgpAAALo0pwHmUoCtWcXTn8sBAOyYO9WC31B/C9R0rs8RnPpIZw7xxTz/B4jDJcBAx15zAPtTn485AwAuWoeK3CcJEErxXC/AWxbdEIoKAKBvy4lAy79+/P8ftjIB3GOrd9XrAvRLHw4AXZMAAIaz5AAsZgAAhmV3KgAwAgkAYETnbhIGiMABDgBP9Ip38w5DWA7bAT6SAADGJQcAUNB+d6qzBYhAoBC4m5wERCMBAAxNDgCglP2VnnUgEIpOCQAYhAQAMDo5ADjNgwMA3TmX/DDoA0Cn/rZuAEB784HaChXhoHUIYPna4wMAiRnoISBrWOAIFQAAj8eqDsDmJti39Yx4dnhsh4csTYFQdEonGOiBI+QkICAVAAD/t84BmLIAnLP0n/pSoI4TgWkdFAAwDhUAAP9wJQBAEYJrAGG5BgC4g/QqxCQBAPDMcUCwZf+h8MgAQGLiehCKaDtwkAQAwBvTNCkFgFf7awwrEAC6YMACAMYhAQCwSQ4AAABmZsXADhUJEJYEAMAexwEBACRjXvc4VQYhtAdxiLYDx0kAAHywzKusFeGxvfi3AgGgF8asx6mZrckwAPTob+sGAMT1usixzwIe/2bFPBEAAAAQlgoAgPe2tjg5DggWov+tTNOkIwI4TRf6MIgDwDAkAADOkAYAAOiU2PdDFgQoSmUwRCYBAPC1aZqWy4FbtwUAgO+Ywj1kQaBnou3AVyQAAN7YXxbO/1UOAACgU6ZwABCHcflWEgAAb+zvp1j+65IDMFYBCbhaAAAAqObn19PXlCUBAHDJ+jggAxUAAF0wcQWgra2RyAhVnAQAQAHSAAAAANwt4AUAlsAQnAQAwHtbk6qdyZbLgQnF5xCAEZwOhBkovxUt5gjEoX+AyP62bgBAXMsk5qtNFvMh2gH3ZTCIdThj+dqnEQC4yPwWgFL20/BGnLJUAAB89u3A4zggWnGK4jhc2Atw3fWOVFcM1BQwKhqwSXRh/2PjQ1WWCgCAWzzlAIxeAABpqLcDAHqhAgDgRi4HBgCI7MQkLUG93bmmynAAQI8kAABuJw1AHR9PUazWEipQbQ2w0B8CQHe2hm/DenESAACVSANwN6coDsUdAAAF6VGB+ALu/wjYJPoy/Xr6mrIkAACqkgYAAAjo4MQsQb1dF40EYCji/reSAABoQBoAAKCgIoGDI7My9XYAQF8kAACakQagOKcoAsAVpmQABzn/B3rxt3UDAAb1uryc/8QUiouWj5AZOQCcYAB9y3sCbemagNNUAAA0sLO5zL4zSrFCAGAoBQe+/erMruvtTDUBYDQqAABimaZpvTDrYiUJpDF3QXoeoFNP86hbf9D8RV99pug/AAxIAgAgnPWS0rlAAABNHJmGDTJJG+RlAkBKjgACqG1/79XT9v/1LcE2bWXit8l11Ta6AnSkeKg6TU+b5oUAEfRV/wSDUwEAUNt+zO51FvVaEPD2f6ML61+93yYAdCHBkC36D10TbQeuUAEA0I3p18Mqrk9bvzW/TQAo6L4wmSEbAOiOCgCA/sw1BO4KBgCorMf7mS7mLfp6sUAFKhKgLyoAABrYmi0dn0VNKw/70QAAVu6OTHV0P1MXjQR2iLYDF6kAAGhjfbL/xfncaw7ABDGgj5c/+60RxFxj5AMJ9M5N6Q/RfwBAAgCguVJRtqe7ggXvovn28mcAIL6w9wOXCv1He10AwLckAACyWRcE2MkLAAyrZhGAWkxgEBaY0B0JAIDM5rVo2L1pwEWSfAD7mhwE1HDqVfbFGl8AIAGXAAMktLX2cw5sW9cvfwYAvtVwnK18V7DoP+RjqwdwnQoAgLGYQX5061tU8PJnAKAXd9cE2OQBAGyRAAAYznI9QOuGxLJeOVeo3Pf+A0A16xuS2lrPMS7ONyK8HGA0tjFBjyQAALL5uBqcF5zSAGs7hyZ5iwCA4t7uPFg0ubrgqQENfzowsxgBinAHAEA2+3PE+b9O07RshbN9DAAYwTL/iU/0HwAoRQIAYFwF0wB1lqlyFQDARaLbAMBQTH0AEtoJlG8tes+dQvv2BxVfV9/9U44cmlTqZ8EdipeHqzcH0rOrYIv+H+KINiWL1h7gIBUAAAltTct2pmsnqgF2zs0/8tcPqvBTjhyaBENpfvY0wN06Og6oJu8JAOTjEmCAnJb121fbNJ5yABaBAAAA9dluD5QiAQCQ3IlZozQAADCCZc7TuiHtme8BQFaOAALgvadDgZ7WxvtL5VIL6To/5XHq0CQAIAfDPQCQmIkOAIe83hJ84qrhKz/31p/y9BMFAujLHR9aFwsDYxqzGkD/DNEEnDgFbBJwkCOAADhknHOBEr80qG8dSnvNIwLQnD4ZAHKTAADgC09pAIAdWx2FHWRAWOveyWwHAEjAHQAAfG25HmDrv5b9WRV+CnRtmiZRKgC+tT+jA1jYvQFdUwEAwElLNcD6X+/7QQ/zTqhoTip44oCRHbn3qF96eAjLHAwoSwUAAJcse8cqrI3Ng6Ej+31CymgakNX0q3VDysj0WgCAjyQAAChgXkn+/GrdHKC9/eiS2BPQI30XMCAVCdA7RwABUMzTFcGmiQBAMtUKH+9gbgYAA1IBAEBh60OBOl0eQ3fcAwzwlYt9ZneHAvXVWuAO5oowLDMAAG5U4YpgYHZHdfb17/l2qalDAFq5r1MKG1nT5UJfis/orvd7jgCC3nmAAbidNABUEDMBcMe3AjhnJ0ZfsIOKkwnQ60KPyk6Zrvd7pnCQgDsAALiduwEADz4wiHV31yoZoMsFABYSAABUIg0AAAxlme3UyQSYXAEAryQAAKjq9X5gi1UA4G77Ifi7z7h4/eZFUgLzDfCmUpBGtfN/iv8sIDIJAAAaWG+IUxAAANxtjpXv/Neajdn6icukaD07WoJ0b6N1ZlDAlmj9HtCKpx2A9lQDQBHB7wEGaEsgDAiu+LzrYr9nHshpPjyhqAAAoD3XAwAAAEDX1jkn+/zi+NO6AQDwf9M0LZmA1m0BALLZCkAITAAR3LFjWr9HTVsLeQv85lQAABDLUw7A3BQAKGV9C5E5BjAC/R6gAgCAiNbVAPYLAABliYIBo9HvwbAkAACI6ykNIBMA+6Zp8pgAAHCdigG+sr8MsUhpSwIAgOimXw8FAQAAQDqi7fRu/wPs492WBAAA3ZAGAAAAADhOAgCAzkgDAAAA3EdFAmQiAQBAl6QBoA73CgCd0ncBQE1bSSPJpOb8AgDo3rLCN7GAxw07tmwBAyI7HejXswFBBJxrBWwSffERCsVvAoAkpAFgdsds2wweiOamDf76OqC+aBOtaO0BLvrbugEAUMbTiUDmrFCKRSAQRIVTfewnAACSkQAAIBVpAChuvgbA0wQ0VP9Af5kAACAHCQAAEnq9H9jqHQB61PwuX3MJ4Fa2WQB3kwAAIK1lJj1nAkysGYQN+0AOzUP/T2QCAIAe/WndAAC43bogIFo0AQB4FXm8jtw2gIvsI4F8VAAAMISnaoCH7XsAEE8vsXUBMgCgFyoAABjLNE2vNwQA++ZjhVq3AiAQvSIA0AUVAACM6CkHYBMfALQlng4MSDkRUIEKAADGpRoAACIwCgNEICEBKUkAADA6aQAAaMjgCwBwHwkAAHg8pAHIxZH9ABXoaQGA+NwBAAD/cTcAAFTTewDdPAG4Itp5O9HaA5SiAgAAnqkGAIC7GWEBACqQAACA96QB6JpTgAAAAJAAAIA90gAwk1EASskxpDooAwDoggQAAHwmDQAAAJTiwH2gGgkAADhKGgAALjKAAgQkIQGJSQAAwHekAQDgnMrj5n3BLGEyAKAXf1s3AAC69JoDEAsAgPr2x9/lvy6bWyXvAYChCFUAQAHSAMRUvJpbeThwWtnI+/W+6Ep79ITAFdEmVNHaA5TlCCAAKMC5QACwI+DgOP068RfvaM+T+R0zrwAALpIAAIBipAEAoI7c4+wS/V/+1dQCADjHHQAAUNj6uOGHUwIAgG/sBPrX/8kEAyjC+T+QngoAALiLagCam6ap+KHbPs/At/Qbd/CuQqcE3IHKJAAA4EZPhwJZqwNAKUVG1W+/SaiwnakFAPCRBAAA3G59zaCFOjzxUEBuV57x/Wh7qFg8AEBM7gAAgHrm41OWUIjIBRXMn7qCH7ZS33AdE/RQQFano/96g+McJwIA7FABAABVqQagd8Wj/0f+HCCCOnF20XxITMYOqE8FAAC08ZQDsBIAgNl6TNy6e7zIuCnpCAxOQgJGIAEAAC2trwh+SAPQg+JnCgFZnQuvv3Yvy5/ofAAAvuUIIABob30okN2IpLf/IfcIAFvaRv/lHgCAHkkAAEAUT2kAYVBK2TpAo5X9IJoQG1BHqI4RAOAmEgAAEItbggEY0zL88S0TBuhCtHPMorUHuIkEAAAEpRqAsKKVFAABJeslxMgAgE5JAABAXE/VAMmCKdQULWS/FUoTYgPqCNUlAtRn+z+M42/rBgAAn61zAGbq5LB8kn2qgYf8H0Bd8+4QfS+MQAIAALrxdDGA+To5+CRDPsn21+umgOuiRdujtQe4jyOAAKAzDgUCgCuMngDAOCQAAKBL0gB8q+w1ANEuFQC6ZhfqE28IAFCKBAAAdGydBmjdFgB4PNINSU1i8cneQwCgIXcAAED33A0AAAeJrQO4AACGogIAAJJ4OhRIgAOAJr4NKglCAekJuNMv68oEVAAAQCrL0mLOAVhpsDYf3F/qU1H2uwFpiBQAQO/Wo7la896pAACAnFQDAMBFIh0ADGhr/Whd2SkVAACQ1lM1wEMgA4CxiVwAqOCE0agAAID8nq4HaN0cWprP7Yn53QB4nMpSiOVBZALuQFsSAAAwCmkAAO6WaXxpFbA78XMzve0AtLU/phhxeiQBAABjeUoDmMABUFDkXa6GPAD4aH8ojzzQs0UCAABGNP16CIhwjVOAAJoTjgEOch4RDEgCAACGphpgQEL2wH3SdC8NA2Rp3kPgIeAOBCABAACjUw0AQClh41wGOAA4aGs0DzvKs+9v6wYAAFHMG8OXEInpHQAAwICWxaAqlgRUAAAA/3mqBrBfMqvipwD5qACzHL2BSAcAzIyJCUgAAABvSANwnFUBsIjZIRjIAB62csOoJAAAgE3SAAAQnHAehCXgDkQgAQAAfCANkFLZU4CKnykE0ErbaJ2+FLiJbAQMSwIAADhEGgCAO9w9phizAICRSQAAAF+QBgAAAIBe/G3dAACgP0v58JIDUFDcKcXgQAT6opnMOmSiZwOCUAEAAJynIKBrFqUAT3SMAEAyEgAAwFXrNEDrttCMe4CBgPRLAA/lCDA2CQAAoIw5DfDzq3VzOKRs1F4OAHic3USv9zhHRA8A2CcBAACU5FCgYfl1A71rG0zXiwIAd3AJMABQ3tMtwfYnjmDe/u93DZxWvA8RUgdaMSkC4lABAADcSDVAfGXP7fG7Bh4X8r46kK8ILwJHyEbA4CQAAIB7PR0KJLiT2PyLtsIEeuT8HwAgJQkAAKCG6ddDmCMel/cCcZTqjnRrQFb6N+Ar7gAAAKp6ygHYLZ6MmwAA6tDTQlg3zYXWcX9zaeA4FQAAQANP5wK1bg7F+G0CsysxqfpDQ8MImnEQOGKro9CBAB9JAAAAzUgDxFHqFKD5d+q3CTwuR9Wv9CR6IYCZ0kxAAgAAaEwaAIC3DAoAABdJAAAAITylAQR9unZHEYCPBPTo+rbTCs9+2/N/zv1F+3khrDt23O/3FeZIwD4JAAAgkOnXw2KmuphH96wTQpJDMKZvn3q9BJDMfkZBRhDYJwEAAESkGqBrpX5l7ruDBIpEplI+9SlfFAAQzd/WDQAAeG+JGS05APuberHkb/zKgFKSDQRXov9p3gTgbhKNwEMFAAAQn1uCq4l5ChDQu4IB6+J9VJNgup4W+NZWZ/WxE5MyBFQAAAB9eMoBWMyk9/G+O58BGNP+KJA+tq7rg8hunZ+sq2N1BcBxKgAAgJ6oBrhbnCIA991BJsWf2X4viXH4D3CRrgD4igQAANAfaQAArqsfRDNmAdUoFABmjgACAHr1mgOwyCnFihEobum0y37bjkLqHTUVAEhDBQAA0Lfp10NBQCGlQv/XTxM6fd8dQDTXhyddHwRn/wQQk44JAEhFNUARBVewpb6VRTWkESRTW7NLKfKS9YEQXKi5SqjGAG2pAAAAUlENUEScq4AXFrGQxlCPs8EIAGjLHQAAQEJPOYChgk0A8QXMMhZX8AUaxQCA01QAAABpqQa4olR4boQwH9Cj+7omnR4AEIcKAAAguWXjpOsBAI6oc3J0hOxg8XFh+YbNXxpQmTP3gbD0TQDAcJwLdFCpN8obDl14G7Ou8OSGipUvaYmDL3wO+d33EvSc0ItQCYBQjQGa0x0AACNSDXBQqQWkhSgEtxPCvvvhDZUAeLWO79evWtBzQi9CTXVCNQZozh0AAMCIXA9wUIQzOoDcgkep1n2g/hAA6I47AACAcT1dDxA8CAWQ1ZKRbd2QQAxJAEARKgAAAB7ragARqFfX3xOVBBDZ/uNZ7eEV8gY6FerInVCNASKQAAAAeDx+DwVyLtCrgmtIbyzEtP+Y1wwkLf3w4LwJAEApEgAAAP9YpwFatyWQIu+GkBZwxOB9xeAvH4D7WOCMyR0AAABvzEfWLFPkwcMxDvABKhs2ETv4cAPAHd5eaG/EGYffNADAB2bJj0L3JDuUFiJ7G21v/swOlQNo/m4DJ0Sb3kRrD83tjKQ+KoNwBBAAwAcOBXqUWx6M/B5CcOurUNZfR2hV61bUMMjLBG4l+g+8kgAAADhkDkL9/GrdnDYuvnArUuhCwEc1fRog96sDABqSAAAA+MK6GmC0TECR+JTrBIDTskbJs74uAJrbn3iblg9CAgAA4GvrwzFGmzeP9nqBUOKcTVREptcCNOf8H17tfyR8YAYhAQAAcN5o1QBuAgCCSBA67739wEPMHeiBBAAAwCVP1QAjhLZHeI1AF/qNu/XbcgCgLxIAAABlDJIGuB60EvYCCppWWrflkI6aCkACW4OOwWgcftMAAOUtCYCUE+v51aV8aUAOYbOwek5IJtQRQKEaQ0w+JGPyKwcAuFHWWPn1xUPWdwYIJUgmQF8HWcUJp8ZpCRCNI4AAAG6U+Jbgiy9neWcKNQfgjbanA80/V0gOshJzB7qgnwIAqCTZnvcii14rZ6CyCnlH3RoMItQ0JlRjgFD+tm4AAMAopmla1wH0vkibX07vrwIYzdte63pWQJcIAAAAwP/lOBTo+kvo/R0Aslr3bztfACML1RWEagwAAACPR4o0wPUEwE0vv+t3FQAILtRMI1RjgGjUJwIANNb1oUDXLzYoezXC2wVwj28sABBZqFO/QjUGiOZP6wYAAIxumqZ5zdZjNcD11WbB9erWu9fduwoAAFCEBAAAQAhPaYC+YtbXW9vX6wUACML2f2CfBAAAQCDTr0c/BQGhigAAAABYSAAAAETUXRqgeSP3G9C8eQBAGjbdAx2RAAAAiKuXNMDSyCvf5OJf31+HW6WTWOTOAQCAtiyEAAD6sMT4wsay5xaebt7Fv/7YDYOGfdPgtLcf+Ps+6ssTGr8vArhbqAqAUI0BAtJBAAB05nqg/D4Xl6BFUghvxXy74LSan/aPFQaeL2A0cWLucVoChOUIIACAzqwPBQp49MeVJl1cwW79dQtjOO3IEx22OwK4g5g70BcJAACA/ky/HsGO/25+GcD6nVl/DZzw7cMYqjsCAOAhAQAA0LWA1QA37eJv9X0goP2HvVRXcO77BOmIAACYSQAAAPTtqRogSPQtSDMgpf38VpHs15VH2OMPUIfDiIAjJAAAAJKIkwa4fhBQ85cAI/P0AQCk8bd1AwAAKGnZCDaH8FrtC5um6XQMMeDdBgAAD5vugQ6pAAAAyCnC9QCC+HCTrfDTxbDU9e7CzdsAAKGoAAAASGtdDVC/IGAuArBRDm6yfsA9ZQAAvKUCAAAgv/X1AJV/7pW/roAAjigV/bf3H6Ajsr/AQRIAAACjaHIo0OnLANwEADVdj/6XagkAAAVJAAAADGT69agbW5cDgMRE/4FB2HQP9EgCAABgRHMa4Gfl1p/1uJYDAMLykAIARCYBAAAwrmoFAS4DgLCupABF/wEAgjNdAwDg8VgF2W+K6M3f/9w3v/J3gX3po/9HXmAvrwVoK84RQHFaAsSnswAA4B/3ZQIu5gAsdOEOKY/nSp/VAOoLNRUJ1RggOEcAAQDwj/WhQGXP3rl41pCDgKC4fI/VxY6rwrUoAAA1SQAAAPDGTWmA0zkA29yguGTb5Mt2VjIBAEAOEgAAAGx6SgMUiYVdqQMQjIPmAkb/ReqBoTj/B/iKBAAAAB9Mvx6FQvDnvlXBBgA5HqUKoX+lAABA1yQAAAA4qmA1gBwA9GjkPad6HgCgRxIAAAB84aka4EpE7FwkceT4I7QV6ulrsitfKQAMy6k7QL8kAAAAOKNUGsBlAIwmwqc3Qhuu6L39AKdJRQDf0mUAAHDVEow7sSKd/+63f/Hc3zr4na2rucPbmHWrD9uJAHqc5yJI9D/OGwJUEGd6EKclQC9UAAAAcNWVaoArlwEUtL7YwJ2fFLf1cerlYxYn2BTnHYvTEgCAHRIAAACUsVwP8G0A/fTVvqUCcL0HZ+Er/X6wo7U8WnuAm9h0D3RNAgAAgMLWBQHH/8pX///yUwTgYBAedgCpCBaGRY7727oBAADk9BTT/7heXUoHTtwHYDFMZPtLdB/gI8KGOe67jwQAXq0HxCu3cDEUFQAAANzo6XqA/SjeuTqAb//Kk4/B2dPfGWb7y/LKi/Yer//1GALAw6mVnCUBAADA7ZbrAR6flignDva5mAMIFZwFnnQR1OiikUBwehLgJo4AAgCgnuWcn+Vft/7Pr85FWXIA4vUAQEF3zy6c6ALcTQUAAABVPVUDvN3vdvqCX7vniGkrlBM/xNOwhR8PDQulo6YCcTjRheOcWslpEgAAALTx8XqAbyOPp88C6jc4S0fWqa/11wBwhErHwTm1ktMcAQQAQEvLcmXOAVxcvZyrG3hqhhUUt/IBO6LHnYx6DwAgIBUAAACEsF8N8JUrf138Dpq7L/q/POCedKA5J7oAdZj0AAAQzvVL8ObvIMYHawUPyLpP8ZjXkZdQ8IfqdiCTmjcAP3n9ucqMeGx8Znww2KcCAACAcNbXA5z+Dlf+OtBEk+j/Y9XnAMQk+s/MlUKcIAEAAEBQ60OB6v91oPeYwrmLxAEgPmMWx0kAAAAQ17Kz6Vwc364ouKJy8qzsOTznnv3rnYaMI3DcVodj9gIUJAEAAEAHLh7pIyQHkZWt1LkeOBN6A6pxogtwN30KAAA9OXc/sDuB4RH4EuBS0f+yrb14BwnQuzjH7sdpCdCjv60bAAAAX1gWwF9lAuZDhG5sFvTg2wdBvAkAoHeOAAIAoEtLjfzxw0PkAPhWss/Mty+nwssvePhP8XTF6W+Y7GMDAHTNhg4AALp3sBrg3PFBDOhtADfBx+ZcYPq+Fx7q3P+3or1jQE1xDt6J0xKgRyoAAADo3roa4Mj/Bju2PkUJtnWf+Px38cjc18hz3znBRwUASEMCAACAJI6fCFTw1BHoyImP/X1PStiTfwAekTbdx2kJ0CkJAAAA8jhyMcDBcoFz5BWILE4ISfQfAKAOCQAAALI5mAZ4lItC/vx6+pru7P/ixvy1Fn/Vov8AANVIAAAAkNPHnf6lcgCJj4wf0H5MWcT5IrkxAIDKJAAAAMhsvxTgvrOAIJNogfuaF3rL+gAAXZMAAAAguf1SADkAqCBaCgFgR5x7d+O0BOiXBAAAAEOY0wBvD+i/kgNwZHw+W6GWHCGYK6/iXBC/eOi/8i/CUwwAdE0CAACAgWzdD/zx0uCdb3j6vxLW9Ovp6wTuu/Tijp/1qv4vIs2vHgAYkwQAAADDeZsG+HhpMAPKF/wt8oreVtK8/j+PUZ+mfB8bAKBf5iUAAPCPOWR5PIS3E+IUBySmTuPyTR6oc++VZx+6Fufk/TgtAfqlAgAAAP7xbR1A7iPjIQgPFFBHnJh7nJYAXfvbugEAABDOcl3w41jYcfl/rNXpwvwJb92KL3isAADOUQEAAABvnLsSQJgSiuvusequwQBAYhIAAACw6fWuYCLzazqulyB1L+0EAIjJEUAAALDnKQcgHBnQOu6/fO03lYBfIjAshwoCpagAAACAz86dCEQFW78Rv6mPhJYAANKTAAAAgKPqnAgkcg1Lyq0tDyOMxr57IB9HAAEAwBfuOxHIOTbUN02TGDcAQGIqAAAA4GvrE4GKxE+dY3PO/vvj3TsiWpIpyN7/07puPACQjwQAAACcVDwNwLf2g61CsQfFeaPitOQhgQS04yQioCAJAAAAuEQagAREmgCE3YGUJAAAAKCAK2kA59gQQduwV+8n/8wSvAQAIBkJAAAAKGb69VUawDk2V2y9P963E1q9aQF/WRJvAEAOf1s3AAAAElqqAR4hg5sRFDxpYfk+Tm+4bk5fVf6JNX8cAMBQJAAAAOAu0gCv1sHl5evimQCuWH9uK/wgANYks4GyHAEEAAD3Wh8KtBVUvekcm2jHmGy1J1o7edx/KH/Y8Nbp27zDviIAYGQqAAAAoIb1MTVPf/L6PxSM+xffZc9Q7jgRyEcRCMi+eyArCQAAAKjqNRPw+DcketOu/yJ5BcGRAb39xF78VgAA1GH6BQAAjb2Nq54Ole5Eac99z1LN+xg+Fh3uxbeZgF5+s1cyHL28RmBLkCR3kGYAmagAAACAxt4u9YNcHVywnmD/MJnmr5Tj9j+xolcAcJxxk7tJAAAAQETLvcGPb4Lj+1uYrTC5z/LR8hkDgI/c2EQ1f1o3AAAAeG+apnkduGQCjvyV0/8VRub8HxiZBDmV7VRYVm4JI5AAAACA0E6kAUr5WE/w7TfcCq8Iu9CW6D8AkJUjgAAAoAOvOYAKYcc7Tu1f/pbtlgRhuyUAkJgKAAAA6Mb067FdENDLLvto7WFMF6P/PsZAQVLjgyheYQn7VAAAAEB/nnIAT/ECu+wBAGK6o8ISdqgAAACAXp2uBvjqR3z159AR2/8BgPRUAAAAQN/W+/0fNwQl1ROQkug/MDO6Abnp4AAAIJWatwRDp66fsOz5gjSCJACCNINqbqrdhFcqAAAAIJX96wEA9ysC0JwKS6qRAAAAgIRe7wawtoQioX+PEgAFGVa4m0uAAQAgrenXw65nhucRAAAGJAEAAAD5vRYEAABOXwHScwQQAAAMYX3U7NOfQG6l8l4eGQCgOyoAAABgLA4FAoBQFCIA91EBAAAAI3rKAYg7kJXt/wDAyFQAAADAuNbVAAoCyEf0HwAYnAQAAACMThqArIoE7kX/AYB+OQIIAAB4PFaHAjkXCIAROHkfGIFuDgAAeEMagDRO17X48ENuQRIAQZoBZOUIIAAA4A3nApHG8mH+9m/d0RgAgJocAQQAAGxyLhBpLB/dIwktn3MAIAcJAAAA4IN15HQOngqP0q/9TIDPNgAAAAAwNOcCAdC1OKNYnJYAAAAA/EcaAIBOBRm/gjQDSMwlwAAAwEnrGwKEMAAAAAAAICFpAAA6UnPA2vlZxk3gbi4BBgAACni6WNVNqgAMbh3cX742PgKVSQAAAAAlLecCrf8VAIaytbX/5+fHyAjUJAEAAACUty4IEOkAAIAmXAIMAADcaJomdwMAEEqQ5HSQZgC5qQAAAADu5VAgAIayn/YW9wdqUgEAAADUME3TkglQEABAYvvxfdF/oCYVAAAAQD3ruwEegiAAAHAnCQAAAKCB9blA0gAAjMZBQEAdEgAAAEAzrgcAIKVpmt6ed2ekAwAAAEb0s9K6LQCkVX+UefsTDXYAAADAiOQAALhPkCEmSDOA9P60bgAAAMA/lnOBBEcAAAAAACAnhwIBUFaEMSVCG4BBqAAAAADimqZJQQAAAAAAACSnIACAK4KMIEGaAYxABQAAANCNdUFA67YAAEB0f1s3AAAA4DtPOYD5XwEAAAAAgDwcCgTAcRHGiwht4A5+s8SkAgAAAOjYsv1fQQAAUN867m82QkDuAAAAADJYXw9gCx4AUMHWlMNUhDgkAAAAgDykAQDY8vPzY182MBpHAAEAANk8nQsk3AMAwJgkAAAAgLSWaoD1vwIAXLdfa6jihCAcAQQAACTnXCAAghAUzmT/V+kXTRASAAAAwBCkAQAAGI0jgAAAgIG85gBs0AMAICsVAAAAwHCmX49PB/gCkIOzd7jD1ofKhw0AAACi+PnVuiEA3CVIJx+kGdzBLxcAAABCkwYAyCpC9x6hDcBoHAEEAADwf24JBgAgEwkAAACA/6zvBpAGAACga39bNwAAACCc1xyA2/wAAAAAACAhBQEA/QrSgQdpBjAURwABAAB8tq4JEMEBAAAAAICEpAEA+hKhx47QBmBAKgAAAAC+46JgAAC6IAEAAABwhjQAAADB/W3dAAAAgI7NOYDH6myH5U8AAAAAAIAkVAMARBOkWw7SDAAAAAAucUswQBwReuMIbQDG5A4AAACAwtbXA7RuCwAA43IHAAAAwC1ecwCuBwAAAAAAgGwcCgTQRIS+N0IbgDE5AggAAKCGpSBAJgAAgDocAQQAAFDJcgTQkgNwKBAAAAAAAGSjGgDgbhH62AhtAIalAgAAAKCNdUHA058AAMB17gAAAABobJqm9Q0BrZsDAEASEgAAAAAhSAMAAFCWI4AAAAACec0BOBcIAAAAAACyUQ0AcEXzLrR5A4DBqQAAAACIaykIePoTAD76+fnRZwKDkwAAAACIbglgLQUBQloAAHwkAQAAANANNwQAAAAAAEB+bggA2BGhh4zQBgAAAAC69POrdUMAwmneNzZvAIAjgAAAADq2vh7g4UQgAABW/rRuAAAAAAWsrwew5xQAgIcKAAAAgDTW1QAKAgAAAAAAIC3VAMCwIvR+EdoADM4RQAAAAGmtzwVq3RYAAGqTAAAAAMhsmibXAwDAccZKMnEHAAAAQH6uBwCAfeu4//K14ZLeqQAAAAAYiIIAgJs89ag/Pz9ixx3ZGhANlPROBQAAAMBwngoChKgATrNtHIhMBQAAAMC4VAMAXGHbOBCcbCQAAAD/53oAIIdqtU37gX7daS8+Jmz8KumXCgAAAAD+76kgwA5WAEawH98X/adr7gAAAADgP+swhxsCAHbIkgLxqQAAAADgvXVBQOu2AIQjPwrEJwEAAADApmmaXBQMcIL0QF+2fl9+j/TOJxgAAIBD5uOAXBQMBFfz7LKdtKh+sl+OvyMTH2UAAAC+Jg0AhFU5eruVA9BDAgAAANArhwIBMbXql9Y/V98IAAAAQPd+Vlq3BeDxCBB8b94AgMXf1g0AAACgY8sVwcv1AA8HXwAAAAAAQD4KAoC2mvc/zRsAsPjTugEAAACkMk3TUhbQui0AAENzBBAAAADlPeUAHAoEAFCfCgAAAADusq4GUBAAAAAAAAAJuRsAqCBCJxOhDQAAAADQgDQAcJ/m3UvzBgCsuQMAAACAqlwPAABQhwQAAAAADbzeDSATAAAAAAAA2TgXCCiieU/SvAEAayoAAAAAaM+5QAAAAAAAkNzPSuu2AJ1p22/otQAAAADgEDkA4CvNe4zmDQB44gggAAAAgnIuEADAFRIAAAAAhLakAWQCAAC+IgEAAABAB5ag/5IJkAYAANj3p3UDAAAA4AvTNL3WBAAA8EoFAAAAAP1ZFwQ8VAMAALyjAgAAAICOqQYAAAAAAIDMflZatwVoo+3jr/MBAnIEEAAAABm4JRgAAAAAAPJTDQCjaf68N28AwCt3AAAAAJDQNE2uBwAABucIIAAAANJ6zQE4FwgAGIcEAAAAAMm5HgAAGJMEAAAAAKNQEAAAAAAAAPm5HgAyaf44N28Ar/xSwE4HAAAAhrYODykIgH79/Pw0fITb/nSevI37+wUxpj+tGwAAAAAtTb8e9ooC9G+rJ9fDMyYJAAAAAHg83t0QAADQNZcAAwAAwP8tB0TMOQDnRUAvnMAD8JYEAAAAADx7OhFIYBGgC/slXBJFDMgRQAAAAPDe+m4ARwMBxLcf3xf9Z0ASAAAAALDHLcHAPvvKgbAcAQQAAACHOBcIAOiLCgAAAAD4wtO5QK2bA8A/trKzsrYAAAAAfMf1ABBB22dQDxCWXw0AAAAAV0kDQFsSAABvuQMAAAAArlpOlpjjgA6aAAAikAAAAACAYtYXBUsDAAAAAABANj8rrdsCyTV/ypo3AAAAAABoQBoA7uYCAIAtf1o3AAAAADKbpmk5F0igEACoSQIAAAAAbicNACl5nIHg3EcEAAAAtS1BQxcFw3U/Pz+VH6W3cX+PMxCQjgkAAACamcOI4oZwReUEwM6uf88yEM3f1g0AAACAcS3nAq3/FQCgCAkAAAAAaGyJ+ysIAAAKcgkwAAAAROGiYAhu/9n05ALR2FMAAAAAETkXCI4IcgPwzNMKRKMCAAAAACKapklBAABwhTsAAAAAIK7XHIAtxgDAQSYNAAAA0A1pAHhS/wigx8YpQJ5KAAAAAOCqn1+tGwLttX0QPIZAcI4AAgAAgM4sG43n4KN9xwDAWxIAAAAA0KvlhoD1vwIAzCQAAAAAoG8KAgAAAAAAILmfldZtgRoaftQ9ZUB8KgAAAAAgj3U1gKOBAAAAAAAgLdUA5KYCAGDHn9YNAAAAAG60XBQsEwAAAAAAADnJAZCPCgAAAAAAgP9TDUAabT/GHiIgPkcAAQAAwFimaXIuENAXPRWc87d1AwAAAIAG5hzAbImsrf8QoLl13F9PBSeoAAAAAIDRrWsCWrcF+vDz8yMMfbetHklPBcdJAAAAAACPx++mWocCAUAajgACAAAA/m/Z0eyoDQBIQAIAAAAAePaUCZAGACrbL0VyBBMc5AggAAAAYNP6XCBHAwHV7Mf3Rf/hIBUAAAAAwJ51oM3RQADQERUAAAAAwFHTNC01Aa3bAgB8oAIAAAAA+M5TDkA1AHCHaZre5hr1OQAAAABQg+sBaKjhB89nvjJvOJyjAgAAAAA4b9mKqyAAuI+OBc5xBwAAAABQwPp6AHt1AQAAAAAgJ2kAKmj1GfPZBnrhCCAAAACgvPVFwc7uAIAmJAAAAACAu6zTAA+ZAAAAAAAAyOfnV+uGkETDz5KPMdALlwADAAAANbglGAAqkwAAAAAA6pEGAIBq3AEAAAAA1LZcBuB6AAC4jwoAAAAAoBkFAQBwHwkAAAAAoDFpAAC4gyOAAAAAgBCcCwQAZakAAAAAAGJREAAARagAAAAAACJ6zQEoCACAr0gAAAAAAHGtzwWaMwHSAABwkCOAAAAAgA48nQvkaCDa8gkEuiBnDgAAAPRHNQA/Pz/1PwBv4/4+h0BYuicAAACgV64HGFn9BMDOrn+fQCAmdwAAAAAAvVrfEPAQhAWAf7kDAAAAAOje+nqA1m0BgCgkxgEAAIBUVAMMovIRQB9zSz5yQEAqAAAAAIBU1tUACgIoZT++L/oPxCQBAAAAAGQz/Xo4Fwji8UhCNS4BBgAAANJySzDEsY77L197KuFWHjAAAABgFGKOmVS+A2D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      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=2048x2448 at 0x19424FC5EE0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "canvas = cv.cvtColor(im, cv.COLOR_GRAY2BGR)\n",
    "\n",
    "angles = 2*np.pi * np.linspace(0, 1, 2**6, endpoint=False)\n",
    "\n",
    "for k in range(1, nc):\n",
    "    z = (k-1)/(3-1)*cylinder_length\n",
    "    x = cylinder_radius\n",
    "    _objpts = [apply_transform(rotate(radians=angle, axis=[0,0,1]), [vec3(x, 0, z)]) for angle in angles]\n",
    "    _objpts = np.float32(_objpts)\n",
    "    (_impts, jac) = cv.projectPoints(_objpts, rvec, tvec, K, None)\n",
    "    \n",
    "    for pt in _impts:\n",
    "        cv.circle(canvas, center=np.int0(pt[0]), radius=5, color=(255,255,255), thickness=cv.FILLED)\n",
    "\n",
    "imshow(canvas)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "513fcf76-d671-4fa0-8178-a31cc5718572",
   "metadata": {},
   "outputs": [],
   "source": [
    "outw, outh = 1024, 1024\n",
    "output = np.zeros((outh, outw, 3), 'u1')\n",
    "# want 270..90 degrees (rotating negatively!), -X half, the visible side"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "a01da12b-7b61-4689-8794-4b5425b8bf52",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[4.71239, 0.     ],\n",
       "       [4.70932, 0.     ],\n",
       "       [4.70625, 0.     ],\n",
       "       ...,\n",
       "       [1.58   , 1.99805],\n",
       "       [1.57693, 1.99805],\n",
       "       [1.57386, 1.99805]], dtype=float32)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "i,j = np.mgrid[0:outh, 0:outw].astype(np.float32)\n",
    "uv = np.transpose([j,i], (1,2,0))\n",
    "uv /= np.array([outw, outh])\n",
    "uv *= (-np.pi, cylinder_length)\n",
    "uv += (1.5*np.pi, 0)\n",
    "uv.shape = (-1, 2)\n",
    "uv # radians angle, normalized distance along z\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "a897c287-0bb9-477f-90e4-d61651a0da74",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.     , -1.     ,  0.     ],\n",
       "       [-0.00307, -1.     ,  0.     ],\n",
       "       [-0.00614, -0.99998,  0.     ],\n",
       "       ...,\n",
       "       [-0.0092 ,  0.99996,  1.99805],\n",
       "       [-0.00614,  0.99998,  1.99805],\n",
       "       [-0.00307,  1.     ,  1.99805]], dtype=float32)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "objsamples = np.vstack([\n",
    "  np.cos(uv[:,0]), np.sin(uv[:,0]), uv[:,1]\n",
    "]).T\n",
    "objsamples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "0bf3a11e-2f4f-4977-8078-a9dd176ade58",
   "metadata": {},
   "outputs": [],
   "source": [
    "(imsamples, jac) = cv.projectPoints(objsamples, rvec, tvec, K, None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "5c80e1f1-16df-4955-b35c-08e48abe9fbd",
   "metadata": {},
   "outputs": [],
   "source": [
    "xymap = imsamples.reshape((outh, outw, 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "f9ec5b3e-97ce-482d-8c29-82999ad7fc4a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1024, 1024) uint8\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<PIL.Image.Image image mode=L size=1024x1024 at 0x19424FC52E0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "texture = cv.remap(im, map1=xymap, map2=None, interpolation=cv.INTER_LINEAR)\n",
    "print(texture.shape, texture.dtype)\n",
    "imshow(texture)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "301c9c9d-766f-4ff5-bd6e-dd8fba2849cd",
   "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": "3.9.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}