{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "a1e21d52",
   "metadata": {},
   "source": [
    "# Tutorial 3f: Constrained Optimization with the Default Merit\n",
    "\n",
    "### November 2026\n",
    "\n",
    "An unconstrained optimizer is happy to produce a lens that cannot be made: an element\n",
    "that thins to nothing, or an edge with negative thickness. This tutorial builds a\n",
    "realistic design problem with three tools that keep things short and safe:\n",
    "\n",
    "1. `problem.add_default_merit(...)`: a spot-size merit function in one call, using a\n",
    "   few well-chosen pupil rays (Gaussian quadrature).\n",
    "2. `problem.add_physical_constraints(...)`: thickness limits that the optimizer must\n",
    "   obey (hard constraints).\n",
    "3. `minimize(problem, \"dls\")`: the native damped least-squares optimizer, with an\n",
    "   observer that records the run and a token that can cancel it.\n",
    "\n",
    "The background is in the [Optimization Guide](../optimization_guide.rst) and\n",
    "[Default Merit and Constraints](../optimization_merit_constraints.rst)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "fb333e1a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-01T15:44:20.592110Z",
     "iopub.status.busy": "2026-11-01T15:44:20.591928Z",
     "iopub.status.idle": "2026-11-01T15:44:25.831900Z",
     "shell.execute_reply": "2026-11-01T15:44:25.830916Z"
    }
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "import optiland.backend as be\n",
    "from optiland.optimization import (\n",
    "    CancelToken,\n",
    "    DefaultMeritBlock,\n",
    "    HistoryObserver,\n",
    "    OptimizationProblem,\n",
    "    minimize,\n",
    ")\n",
    "from optiland.optimization.operand.lens import LensOperand\n",
    "from optiland.samples.objectives import CookeTriplet"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f1129d95",
   "metadata": {},
   "source": [
    "## A starting design\n",
    "\n",
    "We take the Optiland Cooke triplet and disturb its radii by about 15 % (with a fixed\n",
    "seed) so that there is real work to do. The focal length of the original is 50 mm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "583a7f96",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-01T15:44:25.833845Z",
     "iopub.status.busy": "2026-11-01T15:44:25.833488Z",
     "iopub.status.idle": "2026-11-01T15:44:26.258031Z",
     "shell.execute_reply": "2026-11-01T15:44:26.257262Z"
    }
   },
   "outputs": [
    {
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iHUINdK3Ko2rY033mY6bzmCNlnkgU+XO8PMfKNJz4Gf06LkvSSeXw87zPxf1ltiNH1suGLxOjaJpWSAw/zP5QjMepJq5JWiNCwXn5tzPexsv7Xxa7k8uHL8fNI25GrEesrPC7koni7NmzxakvGAwGhIRIN5OEhISExKUDEp/c+twOtZCn8uZy4fQl6aGh47FhjwliOBSOXI6tXQ0orLrjbZEMrk5aLRRDkkST3uTW9fVWlUdDSfeqPFdwhM3xucg4LNwsSCXr/2gw+fakb4uRtHofeIyYgUhySPWwpKkEYZ5hWJ6wHMvilwlTDtVK3o/Xj7yO7UXbAQ2E+vjoxEfFbuYnZz7BE1ufEKSbquPT054WxJH7lLx+juclrmCi6A4OHTqE6667Dr6+vpg6dSoefvhhBAQE9Hr59vZ2cVLR1tYmzvmCGoiUf6VBffxX8zHoD/IYyWMkX0fyd603cFxKlYuEkBEtJEu1bbXCLUyyRlWMpHBi6ET4efid9bdloGixtGB/+X4cyzgm2ks4iqVxJM43TuwXPjbxMZFrSJLmzm25VuVx17CjKm/YVDwx+YmzqvJcr6vV2oo9pXvEWJn7ghwFD/MahmtirhH7gnzcrr3QJNCCHOZtEF/TCU0zCskhySxVTgZqv3LgFXyS+4lwT9MQ890p3xXHkSR2XeY6QRD5mBfHLRauZv6sayi3/JuNQb3OriiiyH3EhQsXIioqCkVFRfjd736Hxx57DP/3f/8Hna5nOZ3/9sYbb3R8r9frsWzZMvGpw2Kx4Gp+AXHUT8iqI3mM5OtI/q5dTFwOf4+osKXXpuNI1REcqzqG49XH0WRtEuPdsUFjsWb4GqSGpIqvvfQudXUWiHDpgYKmFhLRAxUHcLDyIE5Un0C7vR1BHkGYEjYFa+LWiPNwr3C3b6u0uRR7yvaI06FKJTh7mOcwzAqfhbUpazE5dHKXmB1XdY7Xu7tsN7aVbMPesr0ipockdVXcKsyLnIfRgaM7nrvW5laUNZdhU9EmfFn4JTLrM8UxmR85H2vHrsXUsKmCSJJg/v3E3/FZ/mfIqMsQBHJJzBJcH3c9Irwi8Hnh57jv8/uQXZ8tml++MeYb4t8CPZSInaampsvudXQhoQpjVxVRXLJkScfXSUlJ4rRmzRqhMk6bNq3Hn7nnnntw5513djlwr7/+uthh8PA4W0a/2j5pDMZBd7VAHiN5jOTr6Or9XaPb9njlcWWMXHFIfE0VjoSH5o17x92LyWGTxbi0v3xBd49BXkNexyj5QPkB4TDm7TGqhmPccf7jMC5iHLTa3oOue6zKc+4a5tTlKFV5Yc6qvOi5IhKnt2NORzOdxxwrc8zNMTNNJNx5ZIzNcP/hZ+Ux0oxC9fBI5RExquZe4kOpDwmFkiNoXgdzE5l5SDUSDojLPDLxEXGZM3VnhHrI3UQSWY6w6f7mCLuvgG/1GF5qr6OLCa7qXXVEsTuio6PF2LmwsLBXokizi6vhRT1wfBFd7S8k9Rhc7cehL8hjJI+RfB1dHb9rdNqSVKk7hqerTot9OY5ySQg52uVIlY0krmPVcwFduiox5Inf87rHh4zH18Z8DTMjZorQa46E1f07ksTBVOVxz5CtKtxd7CsfsbChsMOMwk5nkjM+bo6BSQ67d0TzuNHVzDBskkkttILUvTTnJbFb6GP0EZfLrs0W5JA7hjSijAgcIUbc1ydcL8jwF/lf4J7P7xGEnHuLjOy5MfnGAXdSX+zX0aUEd4/BFU0Uy8vLUV9fL80tEhISEhIDAtUv7haqxhP2GXP/jaHNjKpZlbBKEKSEgIR+lSx3QYWQe4GqMzmnPkf8fwZMc1+Pu4a8TS+Dy+i6H6hVeTR+kCC6U5XnChJQ7geq5JBfUwkk2Xtx9otC0QswBZzliqYaSHK4q3iXUAmnhk/F92d8H9fFXtdxeRpu/pv+X0EQT1WfEiNjEkOabXifuHv45xN/xoc5H4rLkhj/ZsFvMC9mXo9xOxLnB5cVUWxubhbqoIri4mJkZGTA398ffn5+YtfwmmuuQXBwsNhR/O1vf4uYmBixuyghISEhIdEb6MZ1dSTTVEEwkoXk7I5RdwiCGO0bPWRqVLutXahyqmJ4quqU2D1kRR2VvYcmPCQIVrBn8ICudzBVed3JJe+XSg4Z48OMRRI03qfZkbPPIqt8LCSidCtvLdoqRvNUPh+f/LgIwlbDukkaeb9IDjm2ZrA2yepvxv1GjJjpYmYryy8P/lKQZSq2NyTdgJtG3HSWeUbiwuCyIoqnT5/GQw891PH9q6++Ks5XrFiBZ555BllZWSJwu7GxEaGhoZgxY4a4vMxSlJCQkJBwVcmoVqmkkMohyRDBSBW6gx8a/5CoeRvoaLMvkBRRmVQVQ9429+xI4qgWMgOQBDHGN2bA10uX86Yzm7Cvcp9QEN2pyutO9HifSAxJ4JhRyJE0x8McKfOYdK8FJOnjOJnkcGPBRqGIcmT8wPgHBDl0fRzcLfwg5wN8kvMJKlsqxXFmWwoVRN4Oifofj/8R72W9J/49NTRVjKcXxy/uMXZH4sLhsiKKU6ZMwcGDB3v9d5pQJCQkJCQkuhOprNqsLuHW3IPjuJUjTjWyZVLYpD6VtsEQ0qLGIuECZjUeSRWdvCadSdwedwJJELnXONDxNUkZe5CpzlHJ4+Px1ntjVtQsob71VpXXfUTMXUWSQ14P9xVJ7lYlrhLkkOPp7veLx5Jq42dnPhN7gySUsb6xuH3U7SLUOjEgsct+IkkkA7FZC0h1kJfhaHlM0BhBZvkY3sp4S4zGeVzY5sJgbB4TiUsDlxVRlJCQkJCQcCuqpjq9kxhWHBLEikYQKms3JN8giBpVK9VMMZS7ja5B11QqmZ1I9/MtI28RiiE7jAfqhO5elXek4ogYU1OZW5W0CnMj5yLJKwkBfgF9jsY5luZol+SQZhZG6pAs3zX2LkEO2RvdUz0gdxtJ+tbnrRfqH0fJKxNWihxD5kKqP6PW7ZEc8jZo+CFp/dX8X2FBzALxuHmM/nLyL3g7821xfLiD+dz054S66G3wHuSRlzhfkERRQkJCQuKyBgOeOW4VY+TywzhaeVTsyDHzj6SMDmHuF5IkuttE4i6oyvF21T1Dmj0IxsqQGLHWjvE1fTmJB1OVxz5kjpQjfCLEZftqHWF9n7pvyDE7L8sInMcmPSbIIfcuewIr9tSWFEbz0GzCUTDJIX/eVW3Mq88TppOPcj4S7uwE/wSsnbhWtKJQ2eRt8jgx2oYROXQ/s2/55bkvi+dIupAvXUiiKCEhISFxWaHJ0iSialTFkCSRKiINF9wrZAYgFcPRwaOH3B3L2zlZdVIhhiV7RVwLVTM2j3CMTCcxz1XzxkChVuVxFEtzjbtVea4gKSPJU8kh+5WpplLN/MGMHwgC21tNIBU+oRzmrheB3j4GH0Emn5n2jHhcrtE/VGnZw0z1kOScZFiMlhNXCwWV5I+X+Xfav4V6SEWUj4WZj7xMd7e0xKUJSRQlJCQkJC5p1LXWiV220w2nBTHkGJS7ckGmIEEIGbhMxZBj2L4MG4MBSVdWXVbHKJnxNc3WZkFKp0VME13CJFDxfvGDUsVcq/JIEFmVxzYXup35uHqqyusJPB6nak5hT8Ye0alMBZD5g3QUixicqLm9jtkZnE3CR3LI/UPuCs6PmY+HUx8Wt+9KTHk7PBZUD5mPyNE1o3JemfcKFsYu7Lgs427eznhbROTQKMM9UB4rmmKGKk5I4sJAEkUJCQkJiUsKHF26Gk+oRBGsaSMxpNmB5yRQ52NkyVGtOkomKaJRhOSN41a2jlCZo6N4sKS0xFwiSCHJIa+fzucI7whB5p6c+qQgU+5kJVJt5PHZmL9ROJV53DgepmLIAOwZkTN6VR8ZmcOfIzlkywvJG2NvOAqm07n77Rc0FHSMljkCJzF+cMKDYk9xmPcwcRmO+9/Peh/rMtbhZPVJobLem3KvCMYerMIqcfEhiaKEhISExEWDcAabi7oQw8JGJS+XZISEkGRjpM9IJIedbbQYCpA00YDCUfK+sn1i/MtQapo0GFlDxZAkcbD7jWpVHsfJJIgM0hZVecMm4pHURwRBpFvYncdGMkZ1dXPBZmFKobOYJPO6uOswK2QWZsbNPCvGxnXnkYSS5JD5ilQHqVw+P+N5XBt3rXAldx/xf5H3hcg85G4jx9DcK+QxYUaien8ZfcPRMomkud0snNe/XfhboWYOVUuNxMWDfAYlJCQkJC4Y1P05EkI14JpKGIkZM/jEHh6jaoZN6tij68uoMVjzC4mPOk5mBiGjWkhMqRZyh44EqjtxGghcq/JI7Ei6OqryJvZfldedyJJkct+QTSdUIGmWuW3UbWJ/kOomwWPUnZhxtL2zaKdwK28r3CZ+luYRKo7MOuy+q0jyyFE4SR9NJzxWvK8/n/tzMT5WybLFZhH3h+aUA2UHxBoAlV5G8ww0B/K8o7UeqM4BqrNhLE0DzIXA1G8AsTMu9j27LCCJooSEhITEeQNDmWmKOFSmqIWMdaltqxWK2piQMSIShV3JqWGp50TM+gIjW2joUEfJvA/crQs2BYvx7G0jbxNkSHUQD/Y2eqvKu2fsPf1W5XUHyfOWgi0iyJrEjYYZqnhsRiE5jPeP73J5kmlXBXN/6X6xH0jlkfmIvG3+LBVBNr90B1Xcj3M+FqNlGlqYjXj/uPtFrqFr6Dj/7d3Md0UwNkfyJPUkkVQkBxr5M6SwtAA1uYIMokYhhSo5RFOluAj1TwOzJUOSgPami3dfLzNIoighISEhMWSgcYFGBlUx5MiVahp35Uiabh11qyAXJD0D6SweCEiachtyFcWwZK/YwaP7lhl9NL2wVo7jZJpfzmWUfa5Ved3BkbfqVKabmvmLVDZpAuHeoLoL2BOoBB6pOoJtJ7cJJZBknAopo4GWxi8VndQ9jaIZmk3XMp8rHh+qjBwtM2PSNRuR5JfqIR8rL0cCecuIW5AUmIQLBpsVqMtXCGAHGXQSwvoiPvPK5Tz8gOBEIDgJSFgABPHrRDiCEtBk1cHHxwc4DysMVyokUZSQkJCQGDRINti6oe4XkuBw3EkyQZXwG+O+IYjh2OCx51VxogKnjpJ54vccw6o5ijMjZmJsyNhzissRVXk1aR1GlBOVnVV5VCWpGqYEp7htclGDrEkMqfzRtEPHMQnmT+f8FPOj5/epsvLnqZRSOdyQt0E85nCvcEH0qBzyfvUUns3niXuHJInceSRpZl0elUpX8k43NJXDdzLfQWlTqbi+H878ochRPF8kH1RGG0rOVgV5XpsL2K3K5WjSEWQwERh3k5MMJikn75CeiSCvewhXGK4WSKIoISEhIeE2aJ44Un5EtJ2QcJyuOi3GolTSSAgfm/iYyPpj28b5NDJQIeRIViWG3HskeLvL4pcJ8sP7c66Eho+XDSauVXk0dTAS5qZZ7lXluYLqHEffKjksaSoRu4oLohdgbepaYQRhqHZfyKnLUchh7gYRp8P9wMVxi7EgfAFmxM7okajSaS1cy9kfCfNQtE+0MAmxri/SJ7ILkeTOIWv1eP/4HJIYslWG2YhDhuYaF0VQJYROpdDSrFxGowMC4xTyl3wdEJTQSQb9ogDtOcTskDRKVdEtSKIoISEhIdErqCqx7URVDNk8QhUtzDNMEEIGJ5OQDfcffl7z8TjSJoGhK5nE8FTVKVFhx3077hcyZJtj2mDP4HO6HdeqPO4bcnTepSovaq5QSgeiTFJhpdpJckinMvuRQz1DhTmEKh6bW/q7Pu4QMuuQBJG91cxx5F7gczOeE3E6HFPTzOL6HFDt5W1ytMzjRgLK0fKPE38snjNXtZFjc+4nMtqGGYx8Pr879buiWWXQu6Nt5m7KoMu4uLWu83IkfVQGo6cAE27rJIMBsYD+HFXo1gagMgOoOA1UpMGz9CRQkwUs/wUwZvW5XfdVAkkUJSQkJCS6ZAiqbmSeSBoIOllJLr465qvinIrU+axd45g3oyajowGFCiYJF5VLqoU3JN0gzofCYdtrVV7E2VV57oIxMbwuEjWqkQzpZu7j6qTVghyyTrA/Ys1RMskhlUOO93mfqDw+mvqo2IN0HeWrZhaeU7Gkesif5X4oCfRPZv9EROi4Kqy8LFtmqB5ydE1CzAaY52c+L3Y53Xp+rW1Abd7ZY2Kem8s6L+cVrIyHQ0YAI5c5yWCiohIah6DfmeYUEsLKdCcp5Hka0MDdRUIDBA2HIygZmPhV5fYl3IIkihISEhJXKUgUSARVUkjlkKNQggoaiRJz/iaFTerTSDFU96WosQh7SvcI0sZcw7q2OkGORND16PsxL34eRgaNHBLlkt3EahvKYKvyuqO6pVoohnQq8zHwOrnXxxEvyaE7WYlsofmy4EuRdcjROsfIHG//Yt4vxM5ib6N0ktt30t/BhkJlHE2l9a4xdwnTSXcyTWJMZZLqIXckGWRORzR3G3us9rPbgPpCJwk803VkzP/vsCuXY/OLOh6Om9WVDHoFYUhgaQWqMp2EME05VaYBtfmdZhYqkWFjlN3FsNHKiQRVb0Kr2SzNLAOEJIoSEhISVwmo0nFs6aoYcgxK4kVCw1GmyDAMm3RBenhJrETQtTO2htErHKFyF+7WkbcKokozCseyHKvSrTpYFXOoqvK6g/eZVXZUDtl3TJDYPjH5CTFadt3/6w1U/bgPSHLIfUg77JgePh0/mvUjcR29jX6ZcaiOlnkMSWypGr4w6wXxPHYn1HzuSQ4/OfOJuM150fOwduJa0cii42XN5UDezq7KIEfHNWcAW7tyJVQxA4crJJCjW9VdzJPPsKHb+7O2K/eBJFCog6cVcsj7ohJTjqxDRwGjVihkMJSnkYCHT+97ieLA1QMMJR8KJfMqgCSKEhISElcoqGgxTLpDMaw4LEwgJF4cfX4l+SuCUJCM9dYDPJSgkkWSqrqTue+oqpesneOuIUee3e+La0bgUFXlPTX1KUESB2p2UbufVTNKek26OJ40t9ARzMdBc0l/IMnj/SI55C4kiSwJ5lPTnhJkr0dlz3n77GPmaJkjaWYkkti/MPMF0cwyLHBYFzLN3U7G5ZAg8vkPNgXh9qiFuMkrDpGNVcCe/wNqvq+QwnbVEaxRVDmSv+HzgSn3dhJC/xhgKPu0GXlDN7M6LhbEME0hiarDmQSUhDDp2q6E0NONDzNNVUDpUaD0OFB6DN4lR6BhxM6NbwLjbx66x3EFQxJFCQkJiSsEJB8MfSYZ4xiZhILxJxzfkgxyFEliSJI42Dq6gRJV7sBxx5DEkNE5dEizA5ik8Otjvy7OB+Ia7u/26MhWVcNzqcrrrsTyvpMYcqxMYwnjf+ZFzcN94+4T18vv3bl/PBYkh5sLNwtVj0ruN1O/KbIO+9qDLG8qx8dnPhbqIdcFGIJ9x+g7hJko1i+2a3tNezMKi/bg7ax38EHFAdTa2zDNbsQrDa1YVHsUhjRF+YRPuEL+IiYAKV/pVAYD4wH9wMbu/cJuB+ryuqqD/Loqo1Ot9AxSRsbxc5TmFH5NYujO2FqN1Sk9BpQppFCcGoo7sxXDx8GauBiG2CnQ8DYk3IIkihISEhKXKWiY4LhTVQxJEtmEwrgVtp08MuERQQxHBY86p/zAgaptqmLIUS9NHLw/dOYyOJrjZAZBD5URhoYP1toNRVWeK1hRR5c1lUP2I1e2VAqlkMHXz057VjwOd3IhGYdDJY/kkMoe9y7pKGYgN8khv+4NVBnZzsLMQ+5u8jnscDqHToS2rhAoPQ2c/EgogobKdGxpysc6fTt2eXnC12bH6hYLbjZGICF4JJDg3BkkGeTeoMfAj4tbhI17i67qIE/cK1RjbzhKDxsFRE9WjCXqHqF3qHuja94GVUinSthxaq7qNM6Q/I6/RTkPH6+MyzUatJnNMMjA7QFBEkUJCQmJywRsAiHpUIkhx55Uu1hFR0L45JQnxXlyYPJ5jarp7pImKSSRYW0ccwa5+0cV7/7x9wuiRtXM3RDqc63K497dYA0vHI2zYYXkcHvhdjRaGoUphOHVNKOwrcSdx6G6iWkY+SLvC1S0VAjDyI3JN4pMQmY99kaU1Z8lOWQ/M1cFUn2H4/nwhVhs1cO3IAc48rBi3nDYxM9UGL3xbmgk3jXaUe6nwzivBPw4dimWjLoVnn6R5ycvkGStscxFHVRHxxlAe6NyGa4QcEQcngKMu1khh1QJfSPcv0800lRldVUJSRDb6pV/941UyCAVSJ5HjFd2F7tfP/cSiw7BeGYnUHEcmPNtRbmU6BeSKEpISEhcouC40XW/kPl+BMkL99JYoUZiSBPG+YyqcQXz9oQBxTlOpimERG1M8BjhmqXSxl27oRxt03DDse+BqgPYXbr7nKvyuj8eOpVJDqlIUsUj0b5zzJ2CHPZF6rqDO5fcG6R6yFBrEnjmFpIccvTf4/WQcDVVobLkID7J/QwfVh1CjrURYXYNbjObsaq+HvHWAkC7SxkJUw0cuRz2oATs1VrwdvVRbCnbC4NOg8XRy3DH2DtEA82QwlzZVR1UncYkXwSfaxJC7g6OXuncIxzl3GfUDszAwut1VQrLT3YqkXz8JINzvuVUCicAPqE9j7mpYBbuB4r2A4UHBJnVwAEj1cyYqUN0YK4OSKIoISEhcQlAjYdxdSSTbBAcT5IQch+OI+WBZvqd694jSao6TqY5hoHbHB/TwPF4xOPCFDLoUOb+qvKKdggFkbdJMjqYqryeomRIPHni8WZ+IIkcdwVJDrnz5y4KGgoEMWQOIYm8n9FPmFF+OPyHmDpsaud9ZPBzTdfQ6fbqbGxtKsAHJi12eZqgdwCLLMBTHhGYHjoOutHJHT3FCIgDdHoRn0MjC80pJOk0AnGkf/3w66Fp1yjRL+fSltJFHXR+3Vyt/DtH7YyZIQlMprFkjPI1CdxAn4v2ZuW6hdFEJYWnAbtFMdPwdkgG6aymShg+DvDs5cNASx1QfAgoOqCQw+KDThKrUUhrzDRg1lo4oqbAbIqAj6+fbGUZACRRlJCQkLgIIBk6U3dGcQEX78Px6uNiREl1jqPT+THzBTmkOtebA/Z8gKNd9ger1XhsJmm3twt1bEbkDNw+6nYxTqaZYijRZ1XeiJswMWAi4kIGr5yy4o/EkFE2J6tPCpPLtIhpIlCbe4cDMdRQ6SUxpHrI66JZiNfx7QmPYJYpHAYGUOfsAfb/ozN3sKlC/Cz926f9w/BBQDA+M7WhwcMb471j8FzcEiwdczv8vMN6dTqTHDJEm6SZZPTHs38sXh88JsLM0uFadqetpFsOIYmhGpDN6jwqlyRZ0x5QyCBJIfcadYOgDby9shNd9wlpYmHMDWseeTskhRO/puwTclTdW3SNUAsznGrhAeXEcTePLCOdoqcCM9cq51GTAJN/5wi77DgMh94ESvcDs7+lZD1K9AtJFCUkJCQuAGgyYdOI6kimSkdjAwkLx5vXJ1wvqtxYD0dV6kKBBCO3IVeMkqka0sDB3Ty6eBlV8/jkxwUxHIxb2B3jixpf01dVXhdH7wCun4SXI2WeSBRJ6JiXyLEydxkHcpw5/t6YvxGfnfkUhyuOQK/RYp53LO72nYD5jQ3wPPQZsPmPnaHPdNmqxpHh81DlF45P20rwQcV+ZNefQainF25KvFW4lhMCEnq8TRpzPj3zqWhO4VibbTg06HDE704Ej9JW4nQXd4yO0zvbSrjHSZMHidqkr3USQt7nwVbnNVUDZS6EkCdmH6oj6mEpCkGb8bCiFPL2+nJYt9SK3UJlhEy18BDQ1qDcd/5s7Axg1mOKakj1VR11C2J4QsmF5Cl/NzRt9fDgbcXMUP5dwi1IoighISFxHsD8OpoS1DEya9XoAGYoMsecVOaoGHKEam+zn1OY9GCcwuoomSd+r9fqlQidsXcJYsg9t6F2Sp+PqrzuZJwkXGQcFm4W18+ROBtNvjXpW2KX0a3dSWHUKEVj+Qlszv8C6yuPYm97heCAM1pb8WNzE65paoavtqSzeSTlxs54Gf4/71BY7FZsK9omIm12nHpLGGwYoP3ElO8KpZTHvCfwA4UajM3sR95/BnjzZ3o06Yi2kgzoC44ArFxUR8Z1BS5tJXEKIWR2IHcJaSzheNfgeW5mFldCKOJonCSUTnMSwRFLFZWQiiFvry9FkuSN6qC6V8hz7hoSHDtHT3OSQqqFk7u6tp2KoSsxFIYXPt8x04FZj8IRPxtmvxHw8eXPXZjftSsBkihKSEhIDBEJ4nhQJYbM3ePIlsqcqKAbf79Q6Lhn172j19w2MLVsoKBzlkqhSg6prhGjgkZhWfwyMVKmOWag4dP9gY8tvyF/yKvyuu9QcmRNckhSRpWWOY0kZNw3JBnvjZCJnbwuHcXZaKnOxvaWYqw36bDD0xPtWg0mWYFnDWG4LmQ8gkLHdJJBv+gezRp0o39w+i9CDeT94YeBZ6Y9I0wtfbWsfJH/hSCIfB2FeoYK0s5Q9I4xf5e2EpdTbS40DjtI+Rx0/IapppIxTkLYR1uJu6SQIdXdSWFTZWf+IYkgK/NIDiNSFaWyPyMLjz8VQtV0UnzYRS0cq7iS5zyuEEQeb9cPUiSGJUf7JIbi5zl+popYkwtkb4Jp+6tA4W5g9e+AsWsGf0yuIlxWRPHw4cP4xz/+gbS0NFRVVeGXv/wlFixY0OWP0h//+Ee8//77YkwxYcIEPPPMM4iNdX8xWUJCQsJdtyxVQipYJIYcczJMOtAjEJOGTcK3J39bkBSOlYcqGmYgaibJBgnUvrJ9QtnkTiTd0lQLH57wsNjPc2t8OUDQNUxSqo6UGU49FFV53Ykv43FIDrnPyFBxGn64y0hyODZ4bKc6SxLeYSJxEkLxfbYy1qQgB2B3cBTW+/phi1crmr18MdY7Go/FLhIRM+F+XbuSextNkxhSPcyozRA7nRwRr0pcJVzUvYFEmuSQBhW+pmZGzMSr836J+V4xMFRnAQf+6twjTD+7rYSEMHmxIIOO0NEwe0XDJ/gc43BIwHicBBl0Gk2o1KkOZ0bbkBSyrUVVCv2j+79NXi8fh7pXSHLIx6fmHnKnkHuDHCFHTjw745E/X3rCfWLIsTsv98UPgOyNynOu0UETOUUhn7zfElceUWxpaUFycjJWrVqFJ5988qx//9vf/ob//ve/eOGFFxAVFYU//OEPePTRR7Fu3Tp4eAxxyryEhMRVhaqWqg61kCf25tJUEOYVJpTC1UmrxTkJy4UaIasgCaSKpSqGJK8cWZK0khDekHSDGO/G+PZPeAYD9h3vLNp5VlUe9wCpGg6mKq87aG5ZX7JeGFJIfjlmJiG8f9z9WBQ1Dwl2jUKkMjYD1X9S9uL4fWNp55VQ+RJqYDJsyYtx0KjD+uZ8bKw4hPr2BiT6h+Pe4ctEbqI7ZJbqKAkxySGJK6eZNLU8OvFREd3Tm5LJn2Mkz7r0ddhbthf+ei/c4D0cN2njEJdzCtj3fmdbCUkUR8Xxc4Fp93c6jbu3lVD1G+AeJ2wWhYC6qoTc61PjaDiuJqHiuFcNrvYd5t51Uy1UCSHPqRYyX5FGmWFjxd4m5n1XIYgc3Xf/nelhx7BPYsjHTyK6749Azibl8jyG/rFA0iLguh8BcXPQVnQCXgVbAGvrwI7VVYzLiijOnj1bnHoC1cT//Oc/uO+++zpUxhdffBGLFy/G1q1bsWTJkgt8byUkJC5nsCfYlRiyNo2I9Y0VSqFah0eV7kITQzVKhyHXJGbMNeSIk/t+VDMZ88Jx8ojAEecleJutJVRTh7oqrzsKGwo7zChUSLUaDSb7JeK7IbOwyKpFeF0JkPM6UPeU4qAlWKWnmkhodFD3BoMS4PAMxPGq4yLO5vO89YL88/m7eeQtYiycHJDs1n3mDiEVQCqIVBIZKP7k1CexfPhyBNB520tbSVnhHryT+wneqzuFSocFqW0WvNRQj8VNzfDwKFUIIYnTpLs6jSU95QQOBpYWJX7GNY6Ge4yCkDKOJlkhg6NWdAZX9xZH06NaeLqrE5kknfAKUVTCuc4RslALexiDD5QYElSEMz5TFMPszUBjiXJ5Xu66F5VuaGY58voyPgU+/S68zWVw8AMDr4eKrMSVRRT7QnFxMaqrqzFt2rSO/8fl8JSUFJw4cUISRQkJiX6dvyLY2jlKLm1SlCi6cKnGkXyRhFFBvBiobqlWgq5pQCnZi5KmEug0OqSEpODWkbeK+0gziju1coMBDS8c85IYkqAOVVWeKxx2OzKL92JTzkfYVL4fma2V8IAGM61avFhfhwXmRgTY8wCabKhCkQByF6/DRJKkjGRdyB6fWzqG16f9XUTaUP3k/h/r80gO2XvtDjlkKw6bVqgeMuORY3s61elaZpxRl75hl9gZe0UadjecwVueOmz38oTJAax0eOHmgHEYOWKakxCOHlhbSX9oazw7joYmETa5UOUkISUZTL1DOacTeSA7jHQ2C0KoOpEPA5YmRS1ktE3CQmD+00D0lI7qvCEhhmIv8YiTGG5S8hL5AYHHcOwNinJIRzXJb9aXwJafAlkbFSWT6mjKjWiOuwaeIxYAuvNfaXml4IohiiSJRHBwcJf/HxQU1PFvPaG9vV2cVLS1tXX8ceHpaoX6+K/mY9Af5DG6fI8RswIZzdKhGFYcEkSAxIvqEDPqRIZh6MSzFKKhfiy9HSOaY3jfOGYlOSTZIajULYhZIIgZR90+rEk7D/dPrcpTHcocbVOdHB+iVOWRIHavynP7tlvrOnYGbVWZOFZ1HJvNudiEZhTrdfCx2zGvuQUPwBtzfBPgFZ6E1qQYeESMgSMkydn40cfep9NEowZh07zjb/QXzyvJIY07rnujvd1vjrdZ6UdyuLVoqzAQc5z+0ISHMCdgFAx05GZugaPi98oItzINGucuX7XRCx+ExeBtDzuKQ3wx0isSzyXdgOVj7oS38zk761YH89xxxFt2HI6SozAxRqbytLKPx6ujSYjEjXEwzEMkKSQp7cn53dttcyey/BRQdFAhhkUHoHHG3TjYzUwFdN6TihOZJpae8g953SR55d3jahrg6CCGaxViGOlCDAk6qzlKJjE8swWallo4GD2UsABY8Rsg8RplR7KhGMhYD+x+TVy/xm6Bg/eHhHPU9UKd5SO0ms1wkNBeYn+TLgbc/X29YojiYPF///d/eOONNzq+1+v1WLZsmTDDWCxccb56X0DcCSUu9FjtcoE8RpfPMeIbfnpdOo5WHRUnhlubLWYR/zImcAxWxa1CakgqUoJShEu58we59mW+IMeI9zGtLg0HKg7gYMVBnKw5KXIFwzzDMCV0Cm5PvB2TQyd3Dd9uh/shy26gtq0W+8r3YU/ZHuyr2CdCsEmwpg+bjtsSb8P0sOldXLvNTc5dtp5gaYG2LhfaWvV0Rpw0tbmwtlRjn6cJm7y8sMXHGzVaDYINBsz3GoX5YdMwKXohdIEJgtBwoNzoPEaenp7K66hZeU11R3lzOTYVbcKXRV8ioy4DXnovzI2Yi0fGPoKpYVM74n5aevl5FWcazuDT/E/xecHnqGmrQZJnBB4NnIbr2zUIPpMO7YGPoG2pEZd16IywByXCHjwStth5OOxpwjvmTGytPAANbFgUvQjPD18jXlsiGPscnjONuRzaipPQlZ+AtuIEdOUnoW0sVv7R4A1HyGi0x82Hfdpa2MNSYA9KOls5a6UZpvfb1zRXQ1tyCLpSng5DV3YMGkszHFo97KFjxWO0zXgctsjJcNDk4/p73e4A1Mdmt0FbeRq6wj3QF+6Brnifkxh6wBY5FbYpD8IWPRM21vC5EkOzGbqSrdDlbYU+byt0lWwC0sA+bDysE+6CLX4BbBEThXqprc6A/sDfoM/+ArryY+I+8jqtC56HNXGx4gBX0dR0yfw9ulSgCmNXDVFUlUSqhyEhnX9Ia2pqMGLEiF5/7p577sGdd97Z5cC9/vrrYmx9NRtg1E8aFzLb7XKDPEaX7jGiC5ZqmDpKPlZ1TMSPcIcvNTQVXx/7dTFG5tjxXKJZhiJwmjuGuwp34Wj1UZGzyPHttPBpeDrxabFnGOd7/nqcVRMMFUOaMeiOVqvymPNIh3KfVXk0QzCrzxktI1RCp8NYo+bp8bGa/NEcnIid/oHYFDgWO1pLYba3IcYnCitjrxVO5fGh43vdp+zrdcSR/Jf5X2J93nqxN0mHNVW/+yfcj3lR89zunK6vL8T6tH/jw4KNONVajkBosby5HWtqKzGqvQAO7SFltM0xZ9JCODraSoajydoiMg/XZa5DTkmOeM6Y27gqYVXPO4v9Qew0FjjHxp29xxq13YW7gyKO5itwiH3CCXAEDkdrU/PAfteEWnjSmVmonEjkxW1whE+1cP7TcPA8MhVagxf4DPU4tO1XMWSOoaIY6vQe6PKKEtE1GxXlMHcHNJYmONhQk3QNHHOfEKNsrXcIjLyNwn3AnlfEzqGmNg8OqrNJ18Ixey2QfB10pgBx3T39Vsu/2V1hMBiuLqJIlzPJ4oEDBzBypLIvQiXg5MmT+MpXvtLrzxmNRnHqfuD4i3a1EyT1GFztx6EvyGN0aRwjxqWw2UMdJbNWjQodmzdICNemrlWiaoJGDnmI9EANMiSG3PHbX7pfOHlJbMYHjxfuXRJDjr7PZ5xOb1V5DKO+ZeQtghx2US1ZmcaxnisZVGNmWFXHvTdC7+k0kSQCE24VLRm1vsOwtbUUm8r3Yk/JXrS3Vom4oLuS7xM5hzTbuPu6cH0d8TGwio+jZY7mtdCKY/fSnJeE67j7OL7ntpI0WMtPYU/lEXzQUogtRo1QL+e2tOI38MU8jpZjxiqj2tDR0PTQVsJIpHX7fip2FxlJxMf09NSnxb6o2yYiHt+abnE0JIcczxM+4QopnHy302QyARqO3rsfN4ej/981c2XnXiGJIff96HDm3iIdzSOWKOQweio0AbF970z2u2P4mBgla1x3DFUwsog/o5JDjrJ5HzgipxM6aRE0w8YpOYzshD6zBUj/DMhcr/ROk8SOXCaMNxq6p/tqdukG+Te7E+7+7l1WRLG5uRmFhYVdDCwZGRnw9/dHeHg4br/9dvz5z39GTExMRzxOaGhol6xFCQmJyx90mh4pPyICnEkMmVtHdYwEh4RwecJycU4jyvlw/bqLutY6YUBRY2sKGgtElzNjXZixR3IzIWQCrK3W86a6ulWVFzoBBvbxkvylb3AJoHYqhGqUCN/MA+MVZY1v1KqhhCeaMbRalJpLnU7ljTh84rC4fQaOPzbpMUGkBhvRQ5V4Z+5OoRyS4PKDACsPn5v+nNg9DDQFnu3y5Q4hK+voyFW7jevyccagxwc+PvjEzw+VWiDJOwDfGjYd1yfdgJCoqYDB1Of9YMczsw/5gYTh3vem3Isbk2/s3+gk4mgyuppMqOip41qSM5JBdhWrzmPfQXZq87ZI5NTdQpJDhmar5JM7hQueVRzJvK3+GloGYz5xVUi55yh2DTcC+XsAu0V5vHQmL/6JEv9j8us0yxz7D5D+KZCzGbC2KK0udIOPvF5pZekvzFtiyHBZEcXTp0/joYce6vj+1VdfFecrVqwQ2Yl33303Wltb8dJLL6GxsRGpqan47W9/e1WPkCUkrgSwik1VCzlKZhwLwWgTEsLbRt0mzhldczEVcI632eFMUkhymFbN/SoH4v3iRf3a4xGPi0xB1z0/0czSx87YuVTlbS/eLggid/dEVV7YZHxv1NcwVxeAiMYqIC8NOPSxQgj5pq+CihWVQcbLTPxqZxMJ39i77bzx/tMssunkm4IgUmVjfiDNNj+Y8QNhvOmiUA4AVOl2Fe8SyiFzB1tsLWJd4NuTvo0l8UswzHuYs60kC8ja1EkGnW0lHZE5ftFoCB2BDXHj8GFUBI43l8Df6IfldC0nrcaYoDH9vm7O1J3B25lvi1gc7hjOipqF3y78LeZGz+05L5G1ehWnupFCxtFwL0yjHFMSwVHLOzMKu2cjDgTmcuiztgNVJzvVQhIsKui8/pHLFXLIiBp3A7IHSwxVkw2VQMbWkCAyz5Kq8/C5CjEkQXRtW+H4+cg/FHJYsEchl1Q3FzyjmFEY3yNxUaBxXGp2xIsM7ii+/PLLotHlaiaY4s3LbJY7ivIYXfDXEX+GbR4khapiyEgTIsE/QRBC9dRRbXaRQFWLxEhVDKnWsbaPxIjjR5Ilnvq6n0Pxu9alKq9wGw6WH4LFYUWcwQ9ztb6Y29yGyTXF8DCXd/4QHasiX9A5Lu7IGxzer7pE9Zb7jKJTuWCzyJgkEaU6yX1DkqfBRuXwmLLZheRwY8FGsVZA9XNRxEKsCpuA2KbaroSQimdHW0m4UlnnDKW2hY7EXluD2DvkfWVzDkfrjLQhge0vSoh5kfw57h7yPjHA/IbkG0QDTBdlVMTRnHQJrT6u3DeO5emw5fhabTERpJBxNOcQJURyzH3Ajt3C/c5eZ8DhGwmNIIROUijUQjf2NPsjhlT8+iKG/HnG5Ijomo1AyWFndM1oJbaGxDB2Zud9IfXgqJ3EkGNlkmruC9PNTPI8Ypn74d5uQr6vDY7vXFaKooSExJUHko6cupwu4daVLZViRMsuYu6ciaiasIkI9uwaf3Wx8haZY0hySPLQaGkUTumpw6bi8cmPC2I4FGHTfcJmRWtNFg7mbsSO0j3Y0ZCNQnsLjA5gaksLvtPSgjnNrYjT1SkkkGRw+GInGUxQvvccmMmCbSJ8bjbmb8SWwi0iV5HEiYTru1O+K8bogzUG8TXAQG0lCPtzsVoQ4xGM2zzjsUznQFJJPnD8x9C4tpWQDHI/bfqDzj3CzraSvPo8ofx9tO85cT/5AWPtxLVYkbACoV79B1jzg8m7me/ivaz3xA4n43R+PvfnuDbuWhi5X0ciePy9zn1CES7tUIgOW0eYHzj1PmcczVj3iFpfYESM2ofMUbJQC1sBEl0Rkr0SjugpaAocC+/IEe7lMZ6rYkg0lHaOk3O2KHuVJn8lR5E7lYmLAP+oruNwXo7kkEHZ3H3l5UcsBRY8rVz+XDqpJc4LJFGUkJC48FE1Nemdo+SKw6Ljls0eY0PGYmXiSkEMU8NShRnlYoNEQ1UMeeL3HDUy3PqusXcJYsj7PeQmGSouJAgdJpJsFFenY2fjGWy3m7HfZESrVosIqw3zHB6Y6xmPqSHj4UXCpCqEVA3PgbByH293yW6hGnL0SxMJq/kWxy0W+4Yk773V1PX78Gw2pBduw/qs97Gh4gBKrU0Ic2iwwtyEZQ0NGNteAI3pjJJ/Fz0NbWNuhUdMKjS9tJVQefw88x2ReXi08qhQNNmUQvWQoeT9EXfmRjIz8a2Mt8S4nuR/Zcwi3OI7Akn15cD+fwEfPd2h3IkGGI6OmeOndgeHjjz3IGeqhWK30MV0Uu/czWfcC5XCRc871cLxnSSOWZx9RTkNBTG0tiljYbUJhSogx+j8GRJ2Ej3uD+pcXhPcfeXlSQwzv1Buk6sNbIDhSJkB2TL8+pKGJIoSEhLnFW22NmSUZwhCSGLI8SxjYEw6kyBbd466UziTGY/C8eXFBgkHlUJ1z5D7dwTVzWXxy4RyRoXpXLuLO9BSC23JcaClxCVehsTwDCyWJhwxeWCHlxd2+PgiR8f3dQ0meiXikbDJmDd8GRKiZkKjGzqXNEk7o3I4cuV+IHubE/0TRfvLorhFbu3znU14SxVDSUU6cksPYX39aay3NyLPoEOAzYbFLRYs8wjHpJDx0I4c0+E0FkYO3pbDAYvZDA8fny7El0oknyOqh3RBc+zPXdBX5r2ChbEL3VI4WeP3ftZ7eCf9LZS0VGC0IRA/1A7DspICeGW+plyIETckgmNWK6HS/JpGnqFwp7PJxbX6ruSossfI+x6Zqtym04ncRZ3rD0NBDAm+Jhl2TbKXt0NxSdN1TFLojK6Bdzelnx9wSAw5Us7dpjSl0MU842FlrMwxvEzTuGwgiaKEhMSQGymo6KiK4YnKE+INnBEsVKAeGP+AUAzp/DVcAkoCDRMcezIyhqSDTlYSEBplqBY+nPqwyDVkZdvgb6Sp00nszBlUVUI2TXREfPtGoiI4DjtDIrEjJBB7WkvRZGtDiCkYc6Pn4ZvRc4ekKq87qJJuKdgidgIPlh0Uu3xsYGEDCXcO4/3j3SOETZUdhJAtJcoeYTpKbGZs8PbCeh8fpBsN8NbpsChgFJ6OWoDpySthoJN6AMShoKFAGS3nfCSMTjQLPTjhQaxMWKkYXPqC3Q5HdQ4OZH2AdYWbsKm1GHqHA0vNTbi1wYyxhlZoSNAmzuvcKewvKsZdUJHjqNrZcCJ2DNW8SapsJINj1ihO5PBxA4p9EQHX3Fs8cQjI2zV4Ysh9y9wdnSNlRiBRLaexaf5Tyq4hK/+6H4/KTCD9E2WszGo97mZSLWTnMo00gXGDPGgSFxuSKEoMGu+99x4qKysH/HO+vr648cYbYTKd496OxCUBKlAMOlaJIc0djF/h/hqVwodTHsasmFkiw/B85gMONGRaHSfTRU3VjPd3WsQ0YVagEWXAMS4cGfJNtYMMumQONpZ0Xs4zyLkrmCxy66yBCThgbcUBaxl2lu0TPcLa5lJB1O4dsbLHqryhAM0vSozNJhyvPC7qCxk38/S0p8VeaJ+Ei45WQQLV2BlnBI2zrYS7c1Uhyfg8IAgbhifjaFsFPLRGzI9ZgAeHLxNml4HuM7Jb+susLwVBpDrNDx5Lhy8VMUM8Vj2qnDYrUNUZR1NfehQfNWZhnZcReUYDhtuA7xgjsTJyDvxV48dg42h6Qn2xc4TsVAtp3qC6JtTCiUDKDZ2mE7+IgV33WYrhLnh3C7h2ixiK6JqTnf3JBXuV6BqSd5JCnng93c03zH/kY8qgGeVT5fVOlZ3Glan/q2QynouLW+KSgSSKEoNCU1MTTpw4IfIqvb176PbsBezVzsrKQllZGeLj3VApJC45VDZXim7kQ2VKR3JWbZb4/8yTI9HgGzc7iIf7Dxf//2K752lAKWosEiHXJIYcK9e11YkxtwjjnrhWEEOGP/dLxvjmXF90lioovmZGnRrHwv01NXyaSkyHozhBvHnSrMGxLl3Ku09+iPr2egR4BGB21GzcPfZuzI6cPbhGj36OA0mo6lTOrssW438Gbf90zk8xP3p+l9geAfYWd1EH0xRiqLqnuZ9Iwkun8fCHUB8Uj03WGnxWeRAHyg9Ca2kRMTI/G/64IJ9d6hHdJPVUOD/I/kC0r3CNgYoqjSXckezSuiLiaE53uo5FHM0pOKytOGk0Yl1oJDYYAWuAL64NScXzY+/ClLhrhu51ydvn7bqaTmjWIPxjlWialK8o5xzDdgvvHopRcnPYZHgmze7fPEOiz3xCEkMqh3w+SfLobF7ykkL2+Nrt6TFylEzlMGMDwKYYrxAlU5ORN3Qs95fHKHHZQRJFiUGBZI+YM2eO6F91Fw0NDcjLy5NH/TIByUVJU0kXRzKVKCLOL06MkFmHx/NI78iz3nQvVvoW987YfMLWDjqU+RiomDGDj7t2JBvcj+xx9M37bK5wUQVdlEE2SIgcPJIkgzNwOhEYvcKFDCZ27ta5EB5mKm7Pegs7i3aKekG1Kk9kQAZNxtToqdC7mgCGADRoUO1VySGPA8fWC6IXiLYakjixF0onL4OguxNCleiQQPOxcndw0t2dETRBiWh2WIXRhY7lncf+K26To3pmKDII+yzy6QZI7DlW5okOZOZj3j3ybnxl9FcQ4ROh3F/u8rlW3PG+MyaHI8/QUWgOH4vPYsZiXdMZpJkLEOkdjgdG3CQU48HmOnat2Cvq3CskOSRJpFpI4hY5yUkKpymK4WBUyj6J4TRg1lqnYjhZUQwdDthoZulJPaSyWnyoswmFMTZ0adORPf5WhRgyuqann22pVUwoJIcklpYm5bXA9h0aUvj4LoFJgcT5gySKEoNCZmamaL0ZCEmUuPShxr+4EkPugBHJgcmYGTFTKHCTwya7FTNyIfcimbmoGlAyazPF/2f+HpUnKoZUObtUu7XUdVMGXc7bG50X0ij7aSSDDAqeck9n7iB3yvogdmpVHo0hbBKhiqhW5d088uaOqjw1222oxvJU3XgMSA5J4Hi7oZ6h4jgsipqLKVofGKqygMztwK4/KSqc6uTl4+UuGY0kJBAkhjxRNXRRqbjXSTV0w66/YFvRNuGOphmJMTl0RA/mtcHnkKoh1UM+l1Qfl8YvxeqYazCh3Yb2/IPw+PwHCink/RdxNEaFsHK8yucmIhXZHh54K+dD0b3c1Ngkep/XTn9aqLSDPsZU0jg2Vkkhz2nQIQLiFOI2/haFNHG3cDC7twMlhu6MvdU9wzNbFXWYKnXiQmDKvYpb2y+y55/l64FGFI6Vue/IPEjeLs0rJId0d0szylUDSRQlBgybzYacnByMGTNGHr3LHFR/SKpco2pILKi+Ue3iG7WaYTgYZeh8gZl+NMmoe4bcsaMBg+NvqoX3pNyD6eHTEWrwUVRAEsC8P3UdFzdXdV4hXZxqU0bKjU4ymKTsabmZgddXVR7bP0RVXljqeemaZlMIb5PkkLdPV3mcVzhW+4/CIl9PjKuvgHb/u0DtrzrH4yS6jNKheULNISQBMHr3GmtElZa9xlQnmR/JcT3NSXydRPtGD/h+85jxdUdy+EX+F4JwTvdPxkuhc7CooR5e+98DvlAauDyofPL54Xhz9reUfcKQkWKES+JKkrnuxG/FazjYFIzbR90ugrEjfSIHeqeUOBpXJzJVS+7t8T6QlJJEq07kwYZCDzUxtLZCl7cdKNmtKH9UWKkE8+enP6zsGvK+90SW1T1FEX79iXK/+DplTuXyVxQzykB3KCWuGEiiKDFgFBUViV3D6OiBvzFIXBjwDbi2trbHN/tsczbSGtPEGzTHkmaLGUatEeNCx4k3VpFhGJo6dPEvQwCVhImg67J9Ym+NZIhj1OnDpuLpsfdihj4QcU310FAlzCEpfLrTUUow2FcdD1NN6WgjSRx0SwZVMBJV0YjiWpUXMR3fm/49QQ7FqPQ8oLqlGlvzN2HjmU+wr+o4LA4bRms8cW+rBYuqypHIHELsd7aVjFZCjdXYGRJCtVe3D3BkztcIx8okYvwQwTHwHaPvwLLhy0Sw+GBQ0liMD0//Ex/lfoaithpEw4B7m1qxqqYMkbkFynPFCJXRK4VK6IgYD7NxGHz8/LsoWWzwYa3eB1kfoLatVoy8X5n/ChbFLHLfUc9OaI6xO3ILDwJmRUUXHxRoNJlwu0IKGaY9WKf+UBNDkjsRXeMcJ+fugJe1BQ4+3ySFdCiTVPdmKOE4umC3ohySINYXAB5+QPJ1Si4kr4PPg8RVD0kUJQaM7Oxs4VgODh54S4bWWeROVVLi/GH37t3YuHGj+NoOOypMFSj2LkaxVzHade2CzFAlpPJGYshA4sG2apwvlJhLhGJIEwqVLDZkGDV6TPSKwP2mWMxoacXoqmLosv7ZWeFGxUc1kXAUqBJDfs82j3Mcl3WpyivaIUakVDe5r8l9PLp5eTyH/FiSZNTmobhwNzYVbsamunQctTFc2YGJrW14orkF19hNiAyJA6JHAxOdO4TcJfQMHPBjPF1zGuvPrMeGvA2C/FKpXZW4SriMB5yjSHdsbS5aivdjY+4X+LDuFPahBZ52O5Y0NePHVgMmBydDMzLVJY4mrutzJfZGzR0fdjjOX5exTgRk88MCQ7U5zmcDSz8PTjEdkQyqphOSN75++MGIu4WpJIXO3cIegr0vGjHsiK7Z3lmTxxExx+80TC14Fk2RM+EVP4V/aHuPaaLaSGKY9bmyf+gbqWQbUjWkmWWgJhuJKx6SKEoMGBw7R0REDMotqHMGA1utzjd2ifOCssoyNIY0ojGyEUfNR9Fsb0aoIRQLvRfCmm7FTXNvwpxZcy6po1/XUov9BZuxr2AL9lYdR0F7LTfmMNamxZomM2Y0NSK1rR0mTYGi9HA8nLy0qzLIN73e3iQHiVZrqyCE6kiZKhYV2KnhU/GdKd8Ru4YkikMCkiqOPYWZJA2O8jRksVO5rRSbTUakexhhcDgwEyb80Gc0FkTMRhBjVqgSngupAXCm7owYK5MckgwzN5Lkl+0mHJm7Fc8j4mgyO1zHjtKjOFJ9Gh+atPjc2wtNWi2marzxk6CZuC7heniRkHUz/vQG1jr+M+efeDfrXUFeaUx6cdaLgrz2GtTe3qzU3bmaTujUJWjI4O2n3qkQNxo7zsVMdD6IIV8PzEYUgdebgEJG11iV+06FmKHXIrrGR5BgO8l092NprgQy1yvkkPV5NGPx9TLlPoUgRkwc8t8ZiSsLkihKDAjNzc0oLS3F7NmzB3XkpKJ4/pFRk4HfN/4eFT4ViLJEYWX0SswOm43h3sMFud/RuAP79+7HzOkzO4j7BQVVkeoctFSm4UjJPuytS8Pe1gqkayxwaDSIb7dgZmsrntD4YIpvHPzDRnYSQZ7TXHKeg7rptFWJIdVM5iyyuo7GCI6TSRLPaTRPZYuNHNwjKz8NU8lJoC5bRNHYLU047mHEZt8AbPTxRqHJBm+vQMwLGof7EpZjbuL18HY15ZwD6C4mMeRombuqNNswYPt7074nMiX7rOdjeLSIo3G6jkUczUmxK1em0+GjsBh86GlAQagfojyCcFfCSqwcfeuA8inV5hXW6tGYw3Hy9cOvxy0jbxE7tGcdU+ZYupJC3h+hFnor+3mTvta5W+h9js7n80EMiaYqhdCJkfJmhdjy/nNfcOnLikOZRLEvcCQtwq8/Awr3KeQxZgaw6AeKcthT9I2ERC+QRFFiQFCjbSIjB7gg7oRUFM8f+Kb677R/49VDr8Lf7o/bbbfjjml3nKX8pqSk4MMPP8Tp06cxbty483NnSCJqcoHqLBhLTgPmIlhrsnG6/gz2OZqx19MkquksGg1CHFrM8AjBHQEjhBElPHIKEDgcMF64HUmLzSJ28dSRck59juieZs7iN1O/KUbKHGsOWEVXo3ZE7Ex614BqkgrC4AVbUBL2h0Ric0gwtrSUoNLSgCBTIBbGXINnYxeJnUcjR4xDlIP5ed7nWJ+3XpiAmKW4IGYBHkl9RKijPY7NObIsO+lUCp2xNBVqHI1WmEpaw1OwKXYcPmwrwd7adJj0HkKRfCFpjRjHDyQwvK61TgRrc/+Q6iZ3Ib89/tu4cfSN8OMenXqfqBa6mk7YDENQbSZZm3SXQgo5hj/X6KHzRQxFdM3BznEy9yXp6GbWIsfg3BVkTmJf10nlseQwjMffB3I3Kq8x3i/u4q5+XVEfz5UYS1y1kERRYkDIzc2Fn5/fgEK2XSEVxfMDvvn/YNcPxM7W18Z8DV6HvBDsH9wjsQkMDBREf8+ePYI0DjpwmG+c3JHq0k/sPNUVipzAXIMee338sdc3AAd1djQGGuGt9cHUoDH4TvR8TI9dIEjAxQjjZm0dY2tIDLkHyeYPxtVQMfzmxG8OvCpPtJWc7swgVPMIO9pKPICQEU5jyRI0Bydhl92MTTXHsa1oO8zNp0Vt4NLk1ULVo6FoqCJzSLxYz0flkIHjvN45kXNEcDVJYhd1lLFBJESqSshTdZbilqYTdtgYpVVk8tfhCJ+AYzo7PszfgA25G0TMD3uwfzTrR1gcv3hAAdvcjWSVIncPSWT5+iHR5HVNDElFc8lpeFMh61ALTymxLVRXhVp4t0LYoqac3T18KRFDoq7QGV2zCTizTble7pKS2E293xldE9H/hzFW7YlmlM+gMZfBYAoERi4FrvmBEoPTi4NdQmIgkERRYsCKYnj44CuuSBR5kjuKQwd29P5w9w/Fm///Xvu/ot3jl9t+Ca+I3hW50aNHY9OmTcLBHhMT07ci1ljWcy1dba4SMKySoKAEVATFYt/wydiLsdjbXIyK9jqhzKWGTcBdEdMF+RobMva8RMT0B5ogGHStjpRZ40eVS1TlpdzrflWe2lbSoQ46u43V3beOtpLRiuuUsTNUtALjUW9tEiNUxtjsPvwfkXmYHJCMWxJvwdKkpRgVNGrISDOJL2NsOFreXbxbmJroCn5h1guCiIq4I+6vkQC5kkKObwnu/TETkCNP1sHRZMLHojeivKkcH5/5GB8efBF5DXkI9w4XTmiaSmL9Ygd8Pz8986kYL3P8He0TjW+Oux9rPGMRRKK96RU4ig7AR40z4rElUWNuIncMeZyHglCfT2LIHMb8XZ1NKHzdiOiaKcDMbyrjZJLv/h4HX3tZXzrNKF8qeZ80/qR8BY6Ry9AUlAIfvwCZcSgxpJBEUcJtUC2oqqo65/xEEkXpej53MHPulwd+iXWZ64QqROWFBgS73S52SfsKQ2e0ETu39+/frxBFqmFq3mD3NhI2MRB8Y+ObkoiXWQgE349G/0gcsJuxtz4b+8r240x9GtAOQXiWJ68RxGSk90iEBoReFNWwoyqvaIdQWxmCrVbl3TP2HhF+3WtVntpW0kEInQqh2tss2koSFWcxSYsghKOV/+fiHGVgOQnb5kMvC1MMsxXZCsORNgkbd/aGquaQxJOPlaYUOoP5PZXJJ6c+icVBKQipZZvIMeDAOoUUqo+FpJEZhQxTVp3HfJ5diAuva0vBZnyQ84EIEqehZ1HcIjw34znxPA+0i5q7tFQPGYxNw9B8vyQ84TsRMytyoD35rKJgUtGNniyOb3NwCjyT5kIzFGrh+SaG/IDFUHA18Jqh1dYWxWyVdA2w4BnlQ4Q7jnQGZ2c4I2x4P5nnyOdn9mPAqOuVDyF83bg4wyUkhhKSKEq4jYICpb1h2LBBBsw6IYniuYN1cE/veBql5lJRlXbziJs7SAZJIsd4vRFFbVsDPMoPYY3nQRhOvAFH9negYUyGCr6ZcdldBAs7I2ZIfgLj0a6BCJJWGlC24mT6SbEbSRWIe3QPpz4sSAMJK6G2jlwodFTlFW8/qyqPAczcNUwJTuk60mWOnqivc1EHuVPYpa0kXiGBE27rjJ3p1lbiijP1ZwQ53JS/CSerTwpVleYQZiuy89i1ueRcaw4Zz0PDB8fKVCqp0I3yG45HwudhqVWHyMps4OT3geZq5QfYzUuiwceikkI+vh5IKu/byaqTIhCbO42N7Y2CeD4/43kxWh7QaN5JNr/I+ghvnf4HjjXmIhR63GVuxldqKhFuy1NG81QJOX7lOfMe+Vyp9XRePpcmMSRaG5QeZNWhzFxC7pXGzQKueU5xKPM11N+HAb4e+IFEjJQ/VfYwqVLzvrGHmb3KAe4bgiQkzhWSKEq4jfz8fKFCDXY/0dXQIhXFwROhv5/6O/7nyP+Ixo+3VryFhICuDsimJkUBZNYloW2phqnskCCHPDfUZkEDBwK9wpChCYY96lrETbxGIYN0UzJqw+X2OKLdW7oT+47+CofLDwsHcKBHoCCG7M3l+UCcrEMNqoS7S3YLJa2vqjyx00WV59T7Ln3GaYrphuYBta2Eb+ZqWwlPbP/ox1gjsgerTwuixhOJIiNbeNt3jrlTuKX9jP0HXLsLPi8MTN/AIOzcDai1NCJe5427rDosrWxAAgkLtgF+UQoRnPZAJyn0jeiXrHDnlUrfh9kfCmNPmFcYbht5m8hSjPePd/+OOkOh83M24O289figpRD1GgdmtLTg1RY75geNg2HMdGdu4eQBZz5eVGJIAwnNPao7me5imnv4wYpkjiaU+Nnu7QnyvvLnRTPKp8paB3cveR0zHlFCsIfy2EhIDACSKEoMSFEMCws75yMmFcXBmy+e2/mcUPO+PvbreHTioz06YZvrKjHOkYbE09nw3Xkchnpl58ziF4fWYZPQkHIXWodNhs0nEoe3b0dDXQO+OWaNUCRJeAobCsRt8ETjQ11bnSA9dACz55nEkNVtAx01DhX6q8qbFzELE3S+MDDPrzANOPyeQgo5Rqf5gSBZ4qh4xDJFHaRKSPVqAA0t3HkkcSYx3Fy4WYyYufc3P3o+vjXpW4KomkhKhupxW9pwKudTfJb9ET6vPYkKexsirDasMTdhWVMTRnlHQRORCsz4SicpHIDTlTV43J+kesgxPVVQjpafmvqUeM7dMtZQVSs5DBQegKVwH7ZWHcU6E7DX0xP+DmCNKRo3xy5BXNIShYAPZX7f+SaGBHc6z7hG11QqhG74fGDZzxXVMGi4e9fFjEd2MJMYMueQii+rJEkyR72ihF+7WR8pIXE+IYmihFtgZV95eTlmzJhxzkeMiqI0swwMHGH+cM8P4aH1wJ+u+xNmRs7sOZ9w/xuI2fE/GI46tNUmojViOupSH0Fb+CTYvM4m+SNGjMBHX36Efxz8B3IsOaIir6SpRHQ9M9D41pG3CgMKd+rcrkQ7D+ixKk9nwvSQ8fhe3ErMtWoRUVsI7HsbqHpJ2eMivEMVQpiwEJjxsBI0PIi2EhXcpeN+HsnhtqJtgkSzteSa2GvEviFjYPrMHnQXJBF09ZYeRVbRbqyvOYENaEKhQY8gmw1LbB5YHpCC8VGzoY1MVUwng6hbU1tYWIHHvUaqs+NDx+O56c+JIOs+VVAqatxlZbuJcCIfEKP7Mp0W7wYG411fb1QGemKCbzxeGn0nFo+4YWgbay4EMbRZlMcmoms2KdFABI/3xK8qih/VUHfbTJqqgcwNys4hr497ixy3T/yash/K+yrDryUuMUiiKOEWSkpKxJtKaOi5tT8QUlEcGEH6xYFfiDYKEpEXZr5wtvmCcSb7/wTs+R1gaUZV1BK8XRKJVTd8s8frFKphcyH2V+/Hvqp9SItJw8enPxaKHAkPiSEJj88QhToPBryPdNMK1bBoBw5VsCrPiniDH66DN+a2eWNKRS6M2ZnKD/CYUBVkldmUezuNJUOQHce9PBpDSA452qaJaLj/cNGLzedkbPDYczOhtNZDx7iXus5Gk8K6HKz38sR6H29kGw3wNepxnd94/GD4MkwdeSP0bvQ094WqlirhNKZ6mF2XjVDPUPF46FruvsrQeT8blLw/EkI1t7C1Tuxw2kNHYnd4ItZFDMO2hhyY9J5YkbBCBGPTST5kxJBEjcaQ80UMCe6mij3DjUpdXlsD4BmkRNZMf0g59x3AnjZXG1QzSsEeZRzPbEcaWmhGCUke/H2VkLgAkERRwi0wRkWv1yMgoBeH6ACJIp25En3jVPUpPLP9GaGekSDemHxjV0JCp/K+/wX2/q9SyzX568Dsb+HUgTS01zqVDydsdhtO1Z/Cvup92F+1H6WtpUKdnBQ0CWs810Cbr8UP7vyBeI4vFlotLTiY+wV25H6OHdXHUGhpgNEBTG1rx3eazJjb3IpYba1CAMOnAuPu6twj5MhuCF3VJFLCqcxKwbJ9YsxMQnj/uPsFOeyVTLnTuuEaRVN6DJraXHADsszDG18Mi8OGAD1O+ETAU2vEgpiF+FbiCjHGPtfAbYaKUwXl3iGVWa4O8IPBE5OfEAp1FyVUqIVZnX3I7Ebm+J67nFQuSXRmPIKa8NF4v6UQb5/5GMXmE2Il4bkZ38f1CdcPKEOxf8VwB3zyd0ND0jbUxJBmJpJP1aHMlQWuVVApnPWY4lLmSN/dCB4SQRLadCc5rDilxEclzAdWvKqsOwyEaEpIXGRIoijhFoqLixESEtIRmH0ukIpi3yCp++upv+L1I69jRNAIYVihgtVlfLX3d8C+PynL81PvU3Lu2JkrXM+HhJGlydqEQzWHBDE8WHMQZqsZQcYgTAuehgdCHsCEgAmCfNTV1eGD9A+QlZUl8hXPO9S2korTKC7Zjx2l+7GjKR/70YpWrQYRVivmtVow1yMMU4PHwYsdvKrTmOaM8xSzU9hQ2GFGYfAziRSV1e9O+a4gh8wKHNBjbCw9ixSioVj5d7aLhI9HbfIifOmhwyeNZ3C0PhN6bRvmRMzBK8OXCwPMOdUEOkEzEpVDKogcldP1/cy0Z7Bs+DIlS1FVpYsPdYZZUzlkZh8d3zz2JGbM+4ueBkdQIg5z9zBjHb488AI00Igx9ctzXxYrCucU4N7HKLl98gMwjrgGmugp50YMRXRNZmcTCm/H2qq8tphneM33lZ1Dz4CBjah5n0kMM9YDDUUKoWYjyvynlOsdwP6rhMSlBEkUJdwePcfGDixItzdIRbF30BDxvZ3fw8GygyIEmll7HbuBXKTf8xqw/03l+2nfAGY+Cvh0jVrZ37gfh7wO4Y1dbwiTBzueV0StwPTg6Uj0TTzLhEKVOCgoCCdPnhx6othcDV3hYaAxT8TPWNjvXJeJ7Tordnh64ozRAL0DmGTwwzf9x2Fu9HwkxM2HhnmN53lXi8eKAc8qOeTX3KGjuvbi7BexIHpB7xmLXa9ICal2JYQcIat1cl7BirGEUUMRE2AOTsLmxjNYn78Be0s2i/ieyaGTRQ4mzSND4Y6m85vEkOphRm0Ggk3BWJO0RriWk/0TgaoM4NSHnfV3jAeiWsjdTaqFfF2RkFGtc465OYL/OOdjvL37aTGujvWNFaYdjqvdOk49EUN2MXcQw10KOe1JMdQZ0W42w+jjM7gPCrxeNqCou4YkclT56Epmiwl3DWlmGsh1cyeY1yfMKF8opNYvWhknj1oOxM0+753kEhIXApIoSvQLxq00NDQIRXEoIBXFnvFF3hf40Z4fCafsm4vfFLl7AmxG2f0acODPSp4aTRmMzOgWPMxIlp/s/QkOWA4gVhuLbyR+A9NDpiPM1L9TPT4+HsePHxemJaNxECNOKlKuodTObmNNUwXMOh3We3tjp38w9ugdaAryQojBF3OHTcPahGWYGTX7gu1DUq2lWqiSw2JzsYjSoXr34PgHRZxNnyoeyQ0NHF2UwuOdvc3MoCQpnHKf03k8XihVrbY2sefIrMPth3+Cdnu7qLp7etrTuDb2WnjYPM45cJt5itznJDnkbVEMZGbjo2PvwWybHnoqhp88BRQdUu4vPzCIvc6ZYmVBEERGu3S7D4z9oXpIswud0RxXq07oATnf+yOGM/sYJQ80a5Kjc45/1SYUEmI63pl9OXqlovCRyA20T5y/i2Lf8DMlM5HNROxknvGQQhDDx8tWFIkrDlcUUfzjH/+IN954o8v/i4uLw7vvvnvR7tOVgNLSUnFO1WkoIIliVzAg+eX9L4vxILttfzjzh8pIkI0Mu/4HOPw3Rf3gm/n0BwGvoLOcuG+ceAN/OfkXRHpH4vqW68Xu4fTo6W4/JySKhw8fRnZ2dt/NO1RRRFtJWteA6o62Eh2swQk4ERyDHUmTsMNSg/SWMmdV3jjcGz1XVOUNZVVdfyC5YSA1ieGWwi1CbWOuIkkUR8oMCO/R0W1tVx6jKykk0bE0K//OkGqSwTnfAsKdpNAnrAtxo0N6/fHfiV3HZmuzCP5mrBFHteoo+1xDydlw8mHOh0JB5GMb7TccT4bPw3JzCwJO7gS2/lm5IA0ZJIOzqRayE3lSr+NQGnbY3UyCyMBwOrvvSbkHX0n+ishUPO/EcDDgOgMja9ToGsbNMBCcu4HX/1KJrgmMG/j1VmYC6Z8oBJHqK8kxSeZ1LypRNnwdSEhcwbiiiCKRkJCA3//+9x3fX8zl/CuJKFJlYtj2UEASxU6cqDwhGlZonnhx1otiPKipLwK+/BFw5B8A1a253wWmP9Bj/Anr6agi0vDyjXHfEKfXXn0NHhEDe+P18/MTHwTS0tIUoqi2lXSog4pCKNomurSVjAFSb0dNQCx2aVqwoyEbu0r3oqE9GwGaAKHQ3RY8BdcMvwaBFzAwmOSbho3N+ZvFudliFqHgHL2SHDICposaxsfrjKPpUAlJgkWXtUaJMCEpHLNaIYSMR+nh8VCxZBA2W0y+zP8S9W31SPBPECRrafzSgYVV94Ha1lqh8H2Y+R7S6jIRpPXA9XYTVlc0YCSVLs0OYNhYhYjNeVwhZgxT74ecU5V+O+NtQTzN7WbMipqF/1n4P0Jx7Tf250ITQ+4FMqRadShz3E/weaKxi8SQtzvQ8S/VSBJCtRmFCjJ/D+l2XvO/wIglZ31Yk5C4knHFsSgSw6EakUooKCsrQ2Bg4JApQLyeq931TELx55N/xu+P/h6jg0bjf6/9X8Ta7MDH3wKO/ltRehY8C0z9RseOWPfmDMbmbMjbgOnh0/H7a38vDC9Up1paWuDh4f4bscbSBI/KE1hkOAL9qb/BUfRjaLhz19FWEqsYSVJucOYQjoY9OAlpjfmdVXkn3+mxKo9kTPQYm87/aJnkiYHRVA6p5HG8OzJwJO4ac5cYl9KRK17DjHnJ39N1n5CkmKNJkiG6qEk2mJPHUWJ4Sp/tGjzmrArkWPnzvM9R2VKJKJ8o3JR8kzCMdNzuOcJqbcOu02/hw5wPsKUhW4xj5zU342FzE+bACwaqhDNuUFTDSKqFPm67oTcVbhLqIQPW2brDSkjG5fTZuHOhiSFRl+8cJ29Wdg7bG5UdUJJC3h47yF1UXbdhaVVGyUI53AA0VShVh1QMF/9E6WU29N6dLiFxJUN/JbaHLF26VLxRjhs3DmvXrkV4eO9uRe5k8aSira1NnL/yeTo0V/kisrqvdiSjHQE+YWg6XgVfD12Xk4+HVpwbddoBK4rn2nF7scH7r54GghJziTCsHKk4IhTAh2KWwLD5ZTiO/VdRKhY9D0y5R2l8UG6oC8Fcl7kOrx15TYxLX5rzEq4ffn1HqwqfM57z9d/j/XLYYajPhUflcUEOeW6ozRaVfsF6bxTYg1EfPhf+c59QSKFLWwnDmEnAdpx5Gzt3dKvKG3EzZkfNVqryhuAYuQt2XZPkcLR7uOKwuJ3UsFQ8NukxXBNzDaJ1noo6eOozoOxncJQeh6YmR7lvJDTDUpQdPebjkRSSJPZEarrdf7UdhuSQZJ27jnzsi+MWC3I4PmR8F3LY1+Pv9Rgx/qjoALJzN+LD8r34xFaLap0WI9vb8QT8sXzYdARNnK0Qw8DhcHQno/0cc95n5nO+n/U+qlurxc7kz+b8TKw/qFE8Xe6TKzHMV1zJmtZ65TiSGM745tDtGKrgmJ/RNdkb4ZW1EZraHDg0OuX2uIpBEwoVXld12N3b4l5t1ueKapi9SXxgclB1HX+rYkYh8XaNxLnE/16d79+1KwHyGHWFu68VjeMKelXt2rVLqCncS6yqqhL7ihUVFXjrrbd67SfuvtdIRXLZsmXYbpoJm+aK49Fugy8Kh8Mu3uwaGhrh0BnRZKX60PPLxaTXwMdI8qiFD0mk0Xne5WuFVJbm58DXANx0/bUwDIBgXmpQ1TtPT0+3FaMvC7/EK0dfgbfeGz8c+Q3MyPgC+rT34fAKQfvUR2AZf2evygXdqz8/8nOk16VjzfA1eGjsQ2c5ZKnecSd38uTJSpxRWz1MVSdhqj4JU9UJ8bXOYoYDGrT4J6I+YCyqfEejxHsMyvTROHQiTdQ0Tk4ZiQBPPcyOIpyuP4ADlXtxsuakcFEn+iViZvhMcRoXNK7PkeRgjlG/QdyNedhashXbS7Yjoy5DVM1NDZuC+cETMQ++CKvNhbbiJHTlJ6FtVOJoHEYf2MLGwh42DrawFNiHpcAelKQoiANAkblIPIcbizYitzEXvgZfLIxaiGujr8XE0Imi0WYwj6mlyQzv5gLoSw9DV3oY5tKD+NxSiQ98vXHKwwMB0GGZdxKWx1+PxITlyih0EODzt7dsL97PfR97yvbAS++FZbHLsHr4aiTSDe0Kuw3ayjToivZAV7gH+qJ90LSRGHrAFjkFtuiZsMXMhC08degUQ4cD2upM6PK2QZ+3FTrepq0Ndt8otMbMEcqhLW6OEi80CGgaiqHP/hz6nM+hK9wLjcMm7r81aYk42YOSL1szylD/rl2JkMeoKyiM/e53v8MzzzzT5xTqiiKK3dHY2IgVK1bg8ccfx5o1a9xWFF9//XU8/fTTAxrfXWlQF+x5evPNNwV5ZitLm9WOxjZbt9PZ/8/cZkODy9e8jNXe9aWm1QDhfiZEBnoiKsB5cn4dHeCJyABPeBoH/sZ7oY8R3aovvvgi/vCHP3T59wceeED8f4L7Xj/b/zN8fOZjLA2fie83tMGP8SR+kYoywgqvXggif/b1o6/jvxn/FW/mz898XuTVud6PmqZ2FNS0ICMzHfU73sBE3xrEt2dhmKVIXKZe44dTmmQcdSRjvzURBy3DYRYxz92gbYPeKxs6nwzofTKgNdTDYTfA0ZwML1sKQrUTEOYVjiBvIwK9jQj2Noqvg7p97WvSd6ic6jEa7JuX3WHHyaqTQjWkepjfkC/q++b6JeIa+GBufTV8y04Kh7U4HjRtqF3HVAl5zv7dQXZTM7KII2XuHdIBzN5rqpVUDmdGzBxctSGNFmrtHc+LD8FmacJuLy98GBKJLToLuJwxd9hUrB51G+ZFzz+nCkXuwL6f/T7ezXxXVDRy3YGtKcvil3W6vPtTDEnQhnqUTLDdRUTXKA5lkjlxmzSM0J2cuAiO4GSYm5oG/jri2xsfk8g3/AyasuNwaA3A8HnAyOXKaJm/g1cAhuJ37UqHPEZdQb7z85//vF+ieEVLZjRfUF1kq0hv4GjVNQ7EYFD+GPMX7Wr/ZePjr6ysFL9czNrj9yaDTpxCfQbxSc5qF6Rx+95DqDK3Y9yMBSiua0ZxbQuK61pwILcGZQ2tcOWTJB8qeRQEkl8HenWQSn/Pi7seoL5OSApffvnljtUFvqYefPBB8W9HK47imR3PoK6lBi8Z4rBizzpo/KOBFb8GUu/s9U2Xx4yGiJ/v/7kY+947ei0m+q/E6dx2rD+UjoLqZuRXN6OwphnR7Tm4W/c5btDtgl5jQ1ZTPPYZxuGMz80o9ByNJs8oQd68jVqMNeowzaiDj1ELL6MWjY5i5LYeQ3rjUWQ2noYNNkR4RiM1ZAkSvCcjSDcKDS0QZJSn6qZ25Nc040hhnfi+vsXZq+wCg06DQC+FNPqbdAj183QSSQ8E+XQllYJ0ehmh4ycHF8cwsyQ35W/ElvyNqGirQaDGiAUOI56sacKMhgJ4ODIB3whnHM09HaRQHNtz/N3lWJ1xRRwtc6Rt1BqFoYPZljwnWXQbNqtijGHDiSCG+4GaM8q/eYchJ2oc3hs1F+vbi1HZXo+kgFh8K2mNaDfpPsofCPj6OVh+EG9lvCW6wnVanSC37O8WtYMOu1s7hpqhJoYiuuZIpwmFrS/cDw0ZqZiFkhZBQ5Lo+sHJ4ej4Xev37zKPN6vyBDn8VKnkowKZfB0w59vQcFw9iF7sywFuH6OrGPIYdcLd18kVTRSbm5sFSVy+fPnFviuXLTjC59h+UNl63V6QXgadOEV6OeBjbcEd088O8LbY7CirbxXEkQSySJDIZvF9WloDSupa0U7ThxO+HvpOItnDeaiPxwX5oxkZGSmI4W9/+1vx/f3334/wyHD84dgf8Mdj/4uxMOGNgmzE+LQCq34LjL8N0Hc9pi3tNhTUkPw14UT5Gawv/QPKrUdhaBuHxqJ78epJhhofEkos1daEICO+6nsIC+3vI6L+KCze4aiMvxf/OqXBytvuwQRPT3Tqjp2gA/hY3TEcqj4kHLrV7dWizm98wHh8Pf7rKN5ZjDuvvxOpqaluPXY+Z7XNComsMbejxvl1tZmksg0V9c2oMrchq9wsSCYva+umLvMpCva0IM7/AOB5FEWGYjRrbQi32rC4qQnXNLdglD4M9tBkaMeugjZ2IhA1cUir0BgoTSMMY2H2lu4V/29G5Az8ZPZPhBnGl1Er7tb0qUHWQi08DFialDE33dJJ16EhYjw2oBEfluzA8aoT8NP4iV3T1cmrMSZozDm9Zum0ZjA2d1lz63OFyek7U76DlcOvhz9JU9Y24MufXhjziYrG8q7RNS01CnkT0TW/UpTDgHMI9G9vUognI2wyNwAttcqHCKqGzDeMn3vW75uEhASuPqL4m9/8BnPnzkVERIRQwrh/SOPEkiVLLvZdu2xRXV0tolOGEn01s3BnMSbIS5x6gt3uEKSjyEkki13O956pFl83tds6Lm/UazuVyG7jbZ5z9K0foj1JrivwNUcl5+61d+Oej27G8fpsPFBbjwe1QdBd/xqqE1Yjv96CghOVQg3Mr2kSiiC/rmikGmmFMXgHjCGboHf4YoTuUUyMnIO4cV6IDfZGXJAXIvWNMB77O3DwL0pNHEeCi/8Gw6gVqDx5Cs2nP+hQxsUxc9iRa84VdX48pdWnwQ47YrxiMDdsLiYHTcZY/7EdBoaPT3yM3Nxct4kin7MwX5M4uTPq4XPY0NgAc+Fx1BXsw8HKXdjfnocDegsytRoktFuwulGP6LYo1LUm41B7HP5liUUDfIAqAKwchg0+HkfPGoF3VyqV/6eomN5G3VkEjHmB7D9ef2a9iNFhp/OkYZPwvenfw7Vx1yLIFNS/ekVVTiWFJIi1ucq/sX+aRpMFTwtjhC18HPZWHROB2JtOvgqrwyrig345/5eYEjAFQf5BgyaIPM4cz5MckujycSyKvQY/SL4dU+qroTn2KfDR9y4cMWQGpYiuITHcpFTzEexMnnKvYkJh88u5GAbZVJS5XlEOz2xVavhowGLYOc0oERPPe7uPhMTVgCuKKJaXl+O5555DfX29iHOZMGEC/vrXv4qvJQavKAYHd20AuZjxOFqtBmF+JnGaFBvY4xsmR6GKEtmVTJ4qacAXp8uF2qWC406Sxe4EcpivAQe2fo7q8jJ4eJBAKQoY38aVt3IHtBoN/P390VBfL9zExIRJk6H3a8bavfch0GrBb+r1yPX6Jta0TUfeB20wt23ruG2SmthgL0H+ZiaGwOGRg8/L30B5SxG+NvqreCT1kc79Me5asVlj2x+BU+8r6tSEW4Gp9yvxLU60trZCp9OhxdGCw+WHcbjmsCCHdZY6eOo8MSFwAh4e8bAgh701tjAlIC8vTxzLIVFj281A/nElhqb0OKrKjmBzSzE2eXngoMkEq0aD8Z6+eChoKhYlLEf88Gu7RLvwfjS32zpG3+r4u6apTTk3KyplTqUZB/KU7xvbrGfdDX5oCPIisdTC4JuJZsMhVNkPw4Y2RJiSsSTyHsyPug5JQdHiufE3GnomJ2KETMXwIFBCtbAZ4N4b3bfM2CM5JBHzjxFSaV59nsgl/Gj/91HRXCFyFddOXIsVCSsQ6hV6ToHbzZZmMR7neDmtJg0RpmA8EDAeNzTUI2Tv20DrmxeGGBI1uQoppLKXu1153r1DleiaWY8BCQu71E0OCtU5zmaUTxUiSsTOUPqZqR4GdzPkSEhInDOuKKL4s5/97GLfhSsKfAOrra3F8OHDh/R6z2fXM4lNgJdRnFKiet5Dam63KmPtbkSSY989OdUob2x1JmHwTS0UaO3t1hwIq6vDKG05wkxpsHvnI2RpBbI8NLjWbISjfBVe8LkWMQY/jA/3woqJCikkOYwN8oKvydCR//frQ78WzSw0qby26FcYGTSyM9+NxHD/H4GSI0rI9bUvABPvPCvwmdE5W6q2YNOwTXh719tCNYz3jsei8EWCGI72Hw0DCU0/GDZsGE6dOiU+cHE3dUBgpItrPmHpMfhU56BAr8MmH19s8g/EcS8rdF6BmBI0Gk8nrMDC+MUY5j2sz+fU20MvTr0pzd3RZrWhtsnSQSwrzc04XnUYx2o/R17LHljQDA9rJEyt16GtbhyyGvyR6QD+A0bnKPE5Ro0VUz1LMdOYg1RkYaQtHaEWpaWoySMU9cET0TbuW9DETIVX7CQE+PsLMqqOsT/Peleoh0crj4qx9fLhy0UvckpIyjkT8OzabKzLeAsf53yIJmsL5mp8sbamCbPrC6DTp10YYshxL3cb1V1Dxg7xA0zMdIDxSlQNWW93Lqoe/07wdZ/+CbzSPoGmOlMhvgy/XvUaMGLpuZNPCQmJq4coSgx9xzPzDod69HyxA7e9jHokD/MVp57QblX2JP/nzb8jOHQYkpOTobU0w7/pDPzMPGWjqTkT6fZSHPIA9ps8cESng4cD8K/UYVH7KDx17z8QFeTdZ/wPR8IkEr869CvxNd3MrEgTjSFsZ+Fo+dBfFYcsVZk71ilvvq7Zbk5Cz7Hpq4deRXZdNmIQg7Uj14oavxCPgZshGI+jZpL2SRTZe9u989jZ3MI4mrTwUdgUHoONIb44014Nk84kMhd/GrcI86PnKzWF5wkeeh2G+WlR1paOHTVKEDazAqN9ovH1cXcKU0dyYHLH5bkz2VBZhNbcvXAU7oep/DD8ak5Cb2+FrU2PQo9kHPSYgSPGEdjbPhxpZj9YWO8sPCn8JLGbzyh8A/JgDDwMi8cxODRWhOrGYY7f4xgfOAthBh9U1Rhxoq2+YyzO16K7aLe04MsTf8W67PdxuKUUQTY7bm9sxE3NFkRGxgOT1pxfYshPT2zoISnkiYYRNtcwkJ07hqy0o5u4h4D4AY+t87YrqiE7lc1l4kORPeFaaBf9ABreVh8B6BISEkMLSRQl+owXIoaqus9VUbxkU5kcDhgb8hFbfgJ3e26Df2UBImvrUNNcin2eJmz2NGG/pzfKAwAdvDHKGI7lQRMxftgcxOhj8bvdv8M1112H+FDffhWhH+/9sXDUrkxYKcwGwdyHo8Fg3x+VN0mOnakcsp0lpJPUuOJU1SlBNNmoMTV8Ktb6r4WlyILFEYsHfQhMJpMYqRcWFmL8+PEKQaAJwkUlFCdzufIDVDYjJsA2ZjUO+wZgs6UamysPixgWX2sLZofPxqMJS0Qg94DcwoMAX1fMmxRB2LkbxH0I9QwVxJCKXoeax/o3jvI5Pi7cD13RfgTyMRK+kUDMVGDSDUKZ04WPR7zBBJbvLXO5HXObVaiVpyvP4MuCT7Gv8gs0WCvhoYtEnOZGeLZPhbnRGydL2rHdnNdld7bjWBu0gjAGmPTCGe66WxnipUOsJRe62q3YWr0Nn9irUKvTYlprO14xRWFRwnUwDJ9//oghQVMI9/8EOdysdHrzOSQhve7HCkEMTjr37EHuTmZ9qbzuec7GFZpbUm5UzCgx09Ha3Cp2XS/XnEMJicsVkihK9EsUxR/nK0hR7ADHuuwx5qK9emLfb1sDGPhS4xOEf3v74oSfNwocUeJHErzjMTMwVez6jfEbA4PDIIwjfEz5+fniMsyb7A00T/zx2B/xt1N/Q7RvNN5c/CamB6cAx9cB+98AKk4pMSHLfg5MuK2jFaU7ChsL8drh10S2X1JAEn636HeYGzUX77//Pir0Sp7goOCwQ99QiMkeefA7vRmo+qNCCpl1R/iEK3E0k+4S521ho7GvuRgbCzaJ+rzaslpBzOgSZqfy5GGT0dbcdt6z3bgHSHLI40Gnb4BHgGgYIUFk44iuqVLZKzzylnO38IhifqCBhwaLUSsVcsg2Dn/lue4LzdZmbCz8QqwLkOyzoWZpwlLR1d29lUVFq6Vzz1K4v53n1eY2lNc1CeKpLz+O4KYjGNF2DK2eOfibnwG7PU3wtGsQ1xCB4LpZSNPPxG98vPH3diMCS2jWyXIx8ngg0NugGHhE7JBhYGYtZiny2AhiuAkoZnSNHQhlheONCjGMnQUYzjYuDRj1xcq+IU+5OwC7RXltzXpUIYfsqlaP46X6wVJC4iqAJIoSvYIL9ozGoTnisieKjCyhGiYI4UnlvCpTyW+jPSUkGe1hY7A3ajQ+t9VjS10aGi1meFu8MGfYHNwRNBHjAsbB39g5LqWqZLFYujjE2YrQWwvQ9qLteGnfS6Kn+cEJD+LeyIUwHv47cORmoK0RGLEMWPoSQJWoF1JV11qHPx7/owjfDvIIwouzXsSqxFUiI49geLyr47l/UlgAY/VpGKtOw6M6DcbqNGgtZpAq1cEPduNcaLnrJgKsxwO+4SIAnKNuRsnsOPwTQZri/OKwJnmNIIfjQsYp43PnMWqDki15Pur7WJ9Hgkgjh7fBWwRhPznxcczQeMFAo8mO3ytu5PpC5Yf8ohVCuOiHiumEj8lNNY7rAcx2pDGF+Zat1lbMiJiBn8/9uSDGJu7O9QHmjzLWiCfXgGtH7g5YK7dBX7oPlRYz3vX3x8uR/iiHH0Z7x+GRuFsxyn8hmlp1nQYeF7KZU+GMHWpqPyvUni8jZo0KldKZaxnso6qWJJMGhGvrEVOzB8Gl22Eq3A4NVUSuBSQuACb+RiGHzKYcqtE1sw2pHJKQcqeRmYlLXlLCrwP66JaWkJC4KJBEsRd8erwEOsPVm7vFN/hjuWbUOIKxN78RngatGJN56p3nzq/1Os0lZWYRb750X3aQQqqEJ5UYGcLgrSgVcbOA6Q+gLXQ0dtvq8GXxDqGINZY1ity5O0bfiRRjCra+sxVrpqxxyzlPotiTQ5zNHr848AtBLmZGzMCfku9G7In3gfefATwDgMlfVyI9AuN6vW6Skn+m/RN/OfEXYVJ5ZMIj+OqYr541yiVRZA1l/6TwNIzV6YIUElafSLQFj0H9+HvRHjwGJQjDR1/uxDfmfQNRUVGobqnGlsIt2LRvE/aV7hOB2Gz3YAA1yWFiQOIFyatkwwiDsEkQ2ZXtofPAvGHTcH/i7ZhrboAp8yCw9U3A1gboPIDIVCXEmeYOEsNBtHAUNRbho5yPxIn9yLG+sbh/3P1YmbgS4d6998ifBdfmE5eAa7vehH2RY/FOYgq2NheLmKLlCdfj5pE3i2DsgfzONrRYRXYlXeDMsex0iHee0ouqEd14DAFtBzEKxzBaWwC7Q4PjjuHYZl+AA9pUFGrGIqDCE0FNRgTlVCPYp7EL2XQNTffxUFp4en3MdCeLfcNPleggdphz13bGI0oIdjdTloSExKUFSRR7wdPvnoAFl2593IVDKD78TBmp9gSDlm0tWtH17GnQwdPAc36vkElXUqkSzeoKDarafLEru6pLM4fqGB2Q67L8tEIK+Qasjo4ZV6LumjE6JvUOJeiYzR2Bw9Fqb8eu4l34Iv8LbNv1JzRZmsT4lsRrcdziDtJDRXUbtqGhocEtokiHuCtRZJbdf9P/i9eOvAZPvQm/iLgOS9O3QLN7nXJ/6Nocd1Ov1X2qk5m1f68feV2QtVtH3YoHxj/Qa74fiaKXpwn6+lwXlbArKWzzikRj4GjUJ92Nap8RqPQeAbPWT9QztlrtaKt3oKXNioPwQsbmP6HOIwNFLaeF8jrCfxy+OuIRLIi5BomBMYIkuDaqnA+wlYbNIp/lfob9ZfuhhQYzvaLwkjEeC8vOwCf7X8oFaapgNt/YG5QRMo/xIEOWGTtDYs/RMttNqFYujV+K1UmrkRqa6h4p7oUYqnE1ddPux4dGO96u2I/8xgIkGhPxVMrTgoC6He7tAt4nfy+DOJ0FNsFk71LGyaXblQBw3zBYExaiOuoZlIXMRK3NB9Hmdnh1G43nVplxKF/5urG1h9ghnVaMu6lQkjwO83Rgiu0oxjftRGLNTpgstWg3haAlYQm01/wUXiOvgc54fndVJSQkLjBR/PWvfz3gK77vvvvEQvzligPPXXvVdz3/81//hJe3L0alTECLRSERPBcnkoru/8/le/4bu57LzRbxtfpvrRZW+fFNNhZfvunMQXNpWaFSQdIY7Bqk7GVAhL4esW3ZCG3OQkB9Okw1p6GtOQMN8w01OiB0pEIMqB4NS1G+9g7pshu4o2gHvjz5vyJgmd+PCByBr4/9uiCHCQEJZ70GOELmGFfd1ewLzC9kE1BMjDI6O1F5QphV0mvScYtHFB7LOQ4/60lg9CpgzR+UCJE+yAbVoV0lu0RsTlZtFpbEL8GjqY8iwBCJqsY2ZJfWiN22KueOG8lsdPlmjC37COM1WfDOUjJ9ihCGk/bhOGZbgROO4Thpj0ddqy9Q43prteKk0Zmh886BzjsLBu8caOJr4bDqYKtPhrXxRljNo3HQ5oODAH4rUq9F8jW8WAfooYePSS+eQ56L7z0M8PHQwai1I8hXiQPy7fg39fKGjsu7flAgUePz9Fnme9hVfgBWhw1T7UZ8v7YO15obEKgtBSIndpJCoRZG4FzAY86mGpJDfojga2R6xHS8NOcloZp2ZFoOkhgyrsYRNxvHPIzCufx53gdwwCF2KZ+e+Axmx80WavuQoM3sjK5xBl6TKHLMGzsTmPddZ3RNCvRaLfjRhid3tEsmAtRRrXTNszS3obm+EsPKtiKxeitGFx2EB9qQh0j81ToHn9um4GhrIhyHtcBhdrxvFvFVQf2FpLt8z0pICQmJS5go/uc//8G4cePc3n06evQobrnllsuaKHoadfAwXr2KIkfD1tZmhESGI9RnaPuUT5w8iYNHT+Dehx4TYzLXsVhtUzP01Tnwb0hHaEUmolqzkWDPRTAaxM82ODxx0hGH0/YkZGIRikzJqPNOgK/BB0GtRgRVGhHUbERQhRnepnoUtx3GibodOFq1B622VjEu5diQb87x/vSx9q3QUEl0hyjW1SlmD5OvCX858WfsOr0bI2HAv4pLMc7QAsz8JjD5nrPIDA0OqqGBo0K2zqTXpGFb1f+h3HIS3o4RCDM/iR27IvHhF6dgsZ3svH+wY5YuA7cad+Faxx54oQUnNEn42GMVzKGpqPQeCbspAB461idqMU+nwWK9Fh7ipAG07ShsTceZ5hPIMJ9AYUueuF42tqQGzoG+WI9IRyQeeORBNLVbhdnC3GoVYdY8P/t7i/h/VJ14XmVugrnVgoYWi3D88v91W6HrAm9DG5L9dgM+R1BoqkS71oHxrW14vKkZM9p90O49CtVhN2D3mFS0h4yBt6dXJ9ls18OnsU0QUT6+gYzBS8wlSiB29kcoMheJCB2O1Ln7GekTeU7EUI2raXJY8emZT7Hu+KvClR3lEyUC1Wl+oTpM9fqcRvfc/6OaLgKvNwL5exRzSECcQgoX/xQYPrdXc5S7IJlXA+/FikclK/M+Awp2K/eBhH3ms8DI6xEfOgIP2B24tcXiMv5u66JWqr/3bCZSv3at6FTBDyABXnqE+JjEjqXoEe8YfytKpiux5IcX2XcsIXGBR8+//OUvERTUT52VE/PmzTuX+yRxCYDqGMmil5d7AccDgU6rhQE2xHpbEGtOAxpOdu4Uctmd+2XqKDGGI+NlsISORb3/SFTpw2FrsiC0uR26pnYM67Z/lVlRhSr7UbQaD0PrnQGN1gpbSxSsjQtgaUhBui4cFelGrPcuRpB3ZZcKOKFkikV/D2UXy8cIf/8At1ozSBTLvXPw40NvodXahmcC2nC9RyLyxv8Uf/NfgMpmB6o3VqLKXKyQQmcXMsmTCo2hBh6hX8DgfxQ6aziibd9EnOcUhETzjdADIXxj9PFAlLUIMUUfISDrPWgbioCA4cCEx4Hxt+Dzv7yLESNGYOaEs1ueOQrPaMgQPc9HK46Kr20Om8hanBAwAbfEfQXjA8cj2EMZnx9rPoa0tDQhfCpqoAEY4Gc/1wo/osViU8hlqwVt1YVwFO9DZukm7GlJww5DK3K0WiS1W3Brsy9i7WNRpU3FdlMy/qPzg7nFCnOdFY1pFlhsiprZE/RajYuqqe9UMU2Gju9NBhtKrPuR0bQZeU3H4KE1YVrYNXho7LOYFj4Vvp4G0Us+WGKoGmQyajKw7sAv8MmZT8QHFeZHfnvyt0WepKvhZ1BguPmZLUpsDQki93CperLXeMlPFYIYlDB0cTK8n3TAq/uGdOjTNZ6wAFjxqmLG6ta9zSYl/n7x5N5NOMSHCrbruH6I5O9Lea0ZjRYHaposyKwwozZX+TfX3yEV/LAgyKPLhEIQyg4jT1dF089kEPdVQkJikETxhz/84YAiUr73ve8Nee2bxIWFSo7o4h00bO3QN5VD11QKvbkU+qYy8fXU8mzMsOQDL/9CuRzbQsJGK+NiRsLwnIYTlyV3apocJPcUH80WDBpROC7MKN4Ni70dE0JSMC/qm5gYNB9GhIg3nppmVbXs3MHKLDeLxf/eat/0Gj8YNN743V/ToKE7WvkPetgQpclDgMdhWDzPoMRUjYpQO8aeakBSbSzestyOHzgSgEKqMDkI9VHepPimlBDqg6nDjQhxvnGZPNqwreI/+LLoPfh7BGBt6gtiF07PUaErKTj1HrD3P0pkCV2pKTcAE27vMsamC1t1qfNNN68pD8dqj+Fo7VGcqj+FFlsLvPXeGB8wHg8kPSBifqI8o3pUXxi2zZE6g9fPOSLJ2gpN6XF4Fe2HqWAfisoPYb22BV94e6FGp0OMyQN3BE3HshE3IClxab8dwGxeUVVNVcHs+N5V4XQqnrxMZWMr0mszUavdhTYPzkDbYG1KgKX+ZjQ2pOCzUx74DFSPN4vb0GnsmGQsxhx9OqZqTmG87TR8HGa0a4wo8EpBUdAtqAiaCnPoBHg51U2fVj08CmqEir2x6AOk1Z4QcUF3jb1LhKkPyPzSHSSqxYc7A6/p6mZ0TdgYZdeVoewcLQ9FdI0K5k2SFIvavM8AfjAx+QPJS4D5TymO6HNUKV3B16FK8Nlg1FdnuKsqr5p3xO+y80OYa9VjSV0rThTXi/9X12I5K22He7ZCpRS7ll1H36qCqRJP1dQzVB3xEhJXBFFcsWLFgK506dKlg70/EpcYUWT4co9wOKBtqxMEUNdUBn1TKXROMqh8XQZdS5WyQ+iEzRQEq08EmnXeyEISZt7wgLJPGDJiwKaD+rZ6QQ5pONhdQnJoEfV3j016TIyV+xwZ9rF/pb7RqKeDJ9JRkHUCi4Z7IrAlG42W08hFEU4YWnDKwwC7RoMoqx1jW0xY0pgAR+IaePoH40czp4k3G77J9OYKbbO14d9p/8Yvj78hTCsPjn8QXxvztc5dODZUZH8JHPsPkLFBIQV0id78V0W96YEQNDgacKj9ED47/RmO1x4XHc8GjQFj/Mfg5tibkRqYikTfROi419kP1EYeurkHRBT5Lsw4GtGHfABe+XvhqDiFND2w3s8fG3x8URagR5ghCiviF2P5iJswJnjMgEaFbF7x8NEJhbU/0HVOxzJbcMoaC8TYd1WiMloe5hWJJpVstrTBXnYSxqLd8Cndi+CqAzBaG2F1eAhiuMt0K04ax+GkJgm1bVqYzVaYq6wwn8gXBFVjqIIxcB8M/oeg0TfDak6Cpe6rONM4Gr87acTfPE7Cx5Q+oD3OAFsVQsp2wadoK4z526BhniWJGnuT6ZZnlZ0buY8DAqOaSERF+PUXimrKWCFmG45arsTZ9EPkLyQYOxTh7ylO7sBqswuyeFZ3uCCXbahp5r+1ie5w9d+7xw4RHbFD/e1aOj8g8n5KSFx1rmd1POmKoQ5nlrg4MDc2wM9WjaD6k/Aor+xQA/VmJxFsKoWWgcVOOHRGWL0jYPUOhyUgES1Rs8X3Nh/l/9m8w+Fw5sxlZGRgz549mEn1cIDkcHPBZqEc7i3dK8jVxLCJeGLyE7g27tpzU2uc+1fDfIwY1poL1O0VsR6p5dux1b8Bu5pMOGgyodWkgR90mOSRiMcCJmB06DxEBo/GBx98gFFjRnUo6ZPjel/T4P3+NPdT4Yauaq7CTSNuwkMTHkKwZ7BCsqgakRyeeAdoqVHc2qxHo2rko9TrdUdmbSbeOP4GNkRugKZBgyRHEq6LuE4ohqP9RosYmYHClSjGxfUe3QNLC1ByFCja7ySHB5XaNTbcBcfj08Bh+MJ/NPLb6xDoEYDF8UuEg3jSsEkd49ehBuOEmPNIcsjXCjMO+QHihVkviBBwcbtilHwCAXk7xemsUfLcx8QoWR81GQl6D9DutKT7Q7dbsK1wG95Kfwd7y/bC1+CHhVGrMXvYCvhoI87a4+TI3VX17L7H2d7WgkmaDMzXHsM87XGM1BaK6JpjjkRst1+DXUhFvmUkPPM94FOuh8/BAvh4lLqM17uN23swDfW4x8k6xoz1CjnM3aZU8/FD3PSHFILI1+AV0ohCJTDEh6scHu7HDrVau+1VOvMsXSYVp0sbOpRMrlh0B1MhuuZYdjPtOVVMVbnkBwq5ZylxWRLF4uJi/OIXv8ChQ4dEFIfrLxNf1Pv37x/q+yhxIUDC77J/lZKzDalWM7CxqxpI0idIoE+EIH+CHPpEwM64FjffSAbyx6+2tVa84VM53F+6X+zU8Y3+ySlPCnIY5tUzcXIbJDkkZoV7gQKSw/1ob63DZm8ffBAchj0hOmjsQRjjnYDbwmcjNWgSEnwSBNFQA7fVsZg7ETq7i3cLJzMNDSQu35r0LRFWLVoqDv4aOPZfoCpDaUCZ+FVlFM8xfC84VX0Kfzr2J2wu3Ixwr3BMrJmIWyfcipSklHM7LhzH6XTigx9jfzqg1vkxxFqQwv3KbqndquzHRU1GccpqbDAC6xsykVGfA29NAxbFLMKzw5cLF3GXkfpQZ39WHhPGFNb3mS1m0cryo1k/wuL4xfDWmZTX+N4/uL1j2JdK+W7Wu3g3811UtlQKNZvuaD6n/QVvd7vTcFTnoO30Z/Ao5O/eDmgszbB5h6EpZgHyw59CWehM1Dp8EdVmxfJuRFMlosV1LZ3fC4WUe5yOPvc4UzzKsVR3EPMdBzDalgE7tMj2HI/MsIeQH7YANr9Y+Bj08CnWw7eqrAvRpPLJr68G04iIHfI0iFN8iHsd0y3cs3SutHQ37KkKJg08RwrqlNSCHmKH6PRWxuGuu9NKDJFrjqVKNgM8Lx2VV+LKwoD/Yv/gBz8Q588//7wwt1zpfySuWPS2mE/lKWYaCiKvR2azP1LmXg+7T0SHGjgUUF8z6oeL7mBeIMkhlUM2YTBCZMqwKXhm2jNYFLcIIZ49bSq6CXOFkxDuU865nG+3wGH0xenocfhgxBR81lKEBmszxoeOwePh1yH7k2ysWLwCERE9x6+0tLTAZrMJl39vDum06jS8euhV7CndI8jLP5b9A6n+SUD6J8Cxx4Az2xTCMnqF0s7C0aKzbaUnMGyaDS3Mg2QANBtaFkUswqu/ehW+hqHbGWOMia5oH7DzhEIOeVI7noMSFZfrxK+iKnQEPm/Kw/r8L3CsfD1MOhPmx8zHQxPXItU/FcH+weftb0V5U7nImqR6mNeQhwjvCNw5+k6sGn49YlsalNf3wW+cEzFUm1n2lOzBWxlviegePsYVCStwy8hbMDJo5MBGu6ysc0bXaGrz4ME93dgZ0Mx/WphQdMPGwk9D9RroQ8sd2B5nazt0xYfgX/AFhpVshH9zPtrtJmT7TsO/vW7EfuNUlFu8FbKZw5/hSF2Jt+oNfEoFeXQdp3N87qJmdjUUuX7fqXJeiDzOC52aEWX0RJTawtMPLDaXtRdBLrsSS564Y5tR1iDMPLysracWHpNerGN0VDi6jMRVJbPTtGcUKxwSEkNOFLOysvCPf/wD8fF9R4tIXILEkMqPSgq7EUPM+Gbnm6bBhFMffyycvFb/+CF/g1evj2sLqvGCjRsb8zcK5ZABxzSOTA2fiudmPCdq2cRYdsCP2a6oc67EkM0QhH+MeGOuGbsKn2rb8H75XmTVZSHEGoKvjLoVaxLXiGzFtrY2vPzxy4IM9rWCIa6yB6LI6BWOmBmNQuXwfxa8ioVWHTS7/hc4/ZESfEyX6urXlYxFkzLu7Qkk1gycJkE8UHZAhISzPo4Zi6zwY5YiMajKRTa3mEtgqMmEsTZTOa/JxL2NhcqeabEPEDVJUTmduYX1er14zlihdyDtNaGyzo6cjZfnvowFMQtESLWqtg41uN+5pWALPsj5QJA3o9aIa2MX4bnk2zCtoRba9F3A5784J2Kooqa1RmQrvp3xtojPYf7mc9Ofw/UJ14vH6F50zcnO/mS+DhldExgvSKEjcRHMoZPgEzRsSMe7Yo/Tw4Lgkp3KSJmj5aYKwCsEGLkUGPVzGBMWYIzBE2MA3NEHienY42zrJRapW2xSQ6tFUTldlc8ezGKuGGgeZwfZdCGi3t3yOC8XGHRahPmaxMkd2O0ch3fGDikj7zaU1ZphtqBDtSysbe4YmTNQvzt4zHpygZ9t5FFUTO+rQEGWGAKiOGbMGJSXl0uieDkRQ0EOdwNtzjdNqkDdiGF3kBj1WAU3xErQluItghweLj8sDBYcTT4/43nRnRtoCjznMTK4/M99NDqpkxcDsdNhjZqKneYz4s1/W/ZfhY15YczCjtgS19Go0WgUxIvuX3eIYlFRUcc+5Zsn3sS/0v4FP6MffpDyAG6oqYT+3ceAhmJFjZujRNr0Vd1HkGyxW/lPx/8kRqvMgvzNgt9gYezCLjt+VqvVLaKosTTBWJMFQ60LKazNgpaklWsGHgFoDxqBltj5yGow4lSNHnd952dC4WQQNsfcG/b+UASCU2UjoedzxlUAf7qxzxN4HE5WnRSjZba00O2eGpCM58PmYnFNBXx3/3tIiKF6W4crDmNdxjrx+uQHFxLyn839mRgz9/tm2VTtjK7ZpETXUIUlqWSW4dKfKSaU4ET1xugew5CBXc2ZXyidylkblQ8jgcOV19qoFcqx6UOt7onEUFnm6VxActNXHieJT0/u9YHmcXL/sruCSUJ5znuclxAY5aM+J4mh/TvD+W/NHId3a93psmvJ3vBKMw7k9Z4CQRLeNUrMlVwq3eGuu5Yc18vYoat09PzSSy+hsrISiYmJZ5GJ5ORkXAk4U9kIg7FzB/OSh90Gj6pT8CzZA8/iPTCV7oeuvQF2nQdaw6egZcL9aImcidZhqYqKqKLWQoZ11tUV1ltEFVxpQ7t4o+C+DEdDrOxjvzOLEgbyR5R/qCpaK5BtzsaB+gM4En4E77z/jiBlMyNmij0yksMBEY1exshg/VkMyfAjghgiagrg4YOcuhxBDj/+4jVUt1ZjVNAofHfqd7F8+PJeSSkfI7Mk+yOKJGeMEmq3tYsu4o3ZG2GxteP+oEm4uzgbXh8/B5gCgJSvKJE2rJrr5/iRhNG8Q4KYVpMmCMrvF/0ec6Lm9HjsOf4mOto9qBI2FnWohFQISQ4NjQqZdWj0sPjHoz1oJFpiF6A9cAQsQSNh42jfef1V6enIKd6NLws2i37l7UXbRR4g78t3p3xXkKdzWgVwA5XNlSKH8MPsD5BTfwZhem/cZvfCqooSxOduGhJiqILk8+Ocj/F25tvIrssWY33uka5OXI0APn+9wWYFig91NqHwAwuVWBpCxt+qZBrGzhj0/eoXdYXOCJtPgLxdgMMGRE4C5j6hmFFCR110MwoJw5DncboSyw7SOXR7nP3lcfr2MU5XL38p7HHy9qm28hQT5OX26kJtE1XLto5z1x1Lks3S+lacKuE4XIkm6jl2yNBt19Jl31KMybvuWvL9RuIyJ4pcbKeh5Uc/+lGXF+GVZmZZ9fruS7rrWQcbxmjyMUN7GjO0aZiqTYefpgUtDiMO2ZOx174Ee+2jcdyRiPYcA5DDn2KQddfavN7hfFM8mdXrJVTSyD+onV8rfxx0hlrYjYWwGYpg0ReiTVcEu1ZRrHR2P+isYRhvvAnDvabB3+aHkiI93imvgaehHp5G9kPr4GnUO/ujeQJ8zWfgU34IHqUHxN6cxnWMzCxBGj/4ZsxcOadiwp7gDbmfCYJ4ouqEIKLXD79eNGKMDh7t1pEQBNDFuNWT+url7SXIzE+2/FgYcO5KisRD+ZkIOXNGUTJveRwYsdQtosBg7M/zPhcu5pz6HEwPn44/L/6zUO4IjpCoDjS3W0WGnPK1DfV5pxBvy4Ln3tMwtRcgqDkXBrsyMm/WB6DCMxFlppko8x+OUuNwlBpiRCYgd52sdQ7YahywZbXDYi9Ag6MAdchEnT0dTdE5eG/be/DRxCJWvxpxXrMQYAtHYZ4Wfy+qgYe+TvT9Um0Qpy5fa2CztMHfpx0eBt1Z/+6hc/4/vbbLjhoJ99aCzfjg9D+xq+q4+EO1qKUNT9XXYboF0JEYTnvknImhitPVp4V6SKWSt02F+ampTwmFu1dnNg1IahPKma2KmkkySbVwyn3K+TnWCvY7zlbDrxlYzz1HKpbLfwGMXA74DTwi6nKA+PBmJAHT4xytbD3mcTb2Mk5Xv2eFZl5VU5fLXol7nFxdCPfnyb1xOP+OsN5RzbTszLHsesqtYguPQjp7Iup83J3jbyeRJMFUax9djDxKC8/5nXxJABrHAGsBbr75ZjF2vvvuu3s0s/S28H+5QOykvfwyltzxIAzGcxu1DCnsVnhVn4Jv2V74lO2Hb/kB6CyNsOtMMA+bjMbwGWgMn47mkPFwDCIKpTvefvsdhEdEIiYuHlxt4R8BC082R8fXzBZj9mC9rRKVllxUWfNQa89Dvb0AFiik0Ojwh7cjFiY7TzEwWGPQYjagurYeoeGRaLU6hEOQhKfFeeIr0gPtmKDJwRRtJiY7TwGaJtgcGpx2xOGgfSSOa0ciTT8WjcYwmAxasUBOUmkyatGuz0C1Zicq7YdghxVRHqkY47MII/xmwNfDJD7li8uqRNSoE//P9XuTXidUkL/+9a9CpZs/f36XY8Rfnermarx/+D3sb9+GUl09xqY34La6OqyYkIqmUTehevgqNOkCxOMiseNjVb62ia/FOR+3GMm1Ia99B/KtH6NNUwFPawq8m5fA2hLb5bKdv7EOJGuKsVS7H0t0B5GizYPFoUO2Iwppjlik2WOR7ohFJuJQpw0QhF6nUYg9P7TzTYdfa7U2ODwKYTPmwGLIQZshFw5NGzQOA0zWeNjrwxHtvQBGTYx4vsXJZu/168GCO2jJXofh6b8Hhd4laNYpFX7Xm1sR3xaLAmMqMj0noNBzNLQGE4x6XQfp9OiRpHb9t87LKOTUoWnHwcot2FT8AbLqTyPEFIZVCTfghuQbEeUbLo5Nl79vllalqo7jZJ4q05S1BhJVKoY8sX96AGPd/kaGZ6mWBXuc+4afKu5zDz8lW5PEkOfMWLwC4fYxukgYzB5nT2Hxg9nj7NKXrrEjyI97nN3IZjcieimoduI5bbN2y7F0qpUdZLOtC+Hk38Du4N/+LgHpTmXSdd9SdY1T3WSsm6+v7yX5OrpYfOeZZ56Bh0fvvGHAVLy0tBS//vWvERMTgysZE2MD+zxw5x18Uyg75rJjuAdob1QiSETG27eECUIbOQl+eqNwRw4ltmoaMSpYj1HRnX+Y+Ytd3lqO7MZs5WRWTmbG6AAINgYjyT8JSb5rkOSbhCSfJAR6nD3SPXPmDLZv349nHryh8xg7x8gO50lTdhwauwV2gw+awiahIfQBFARNRIV/Csx2E0wWG8a125BkUUgm/4BUtZUgt2Ubcm070OaohtE2DP6W66FvmgJzuy+2W2zY0J7bjWz1Df4R0tqDoYUD/5OXDh3aEGI6DA+P42j0LEKFsQUODTDJ0oqnyuzYWD4GL9lT8e28OYCoTu7sZnYFhQF+Ehbk1miH3Wc/mkxfwqqtQaBmMlL0azHMOxGeoU4S6ySvngYNoprSEFu+CeGlG+HVmAebwQctcdfgTOhD+PueUixZsQYpQYFIJQnsYUWAo+PMhkycqDuBk/UnRZVfu70dnjpPjPUfgxT/25ASkCKew9amVrz77rv42g1TkJDAJMG+wdeIK3GkYlPXYIbeaEK7reu/tbdbYKpNA8q24nDdDmxGBXKMOoRYbVje7ovR+klo8ZuLrLBROG7XK9dHImq1CwWnocXaI2Gl4tputXV8332fTWusgMEZjM12FltTMiy1X0OueRT+54gO/4Mj4nIajQMjdOVYoD+OuZrjmOI4CRPaUaUJwmHjZBz3W410r8mwaANgLNDCWEKF9ETPyqrz+w6y6kJYudZhF6qrpYvq6mHQwmhrgVfhNhizN0Cb/Tk03D/0jVCIIUfKNEINMKxeYuhxvvY4G7oQSUuvLUSV5rbLbo+TP6euIsQFuxc7xL/1XULSBZFUAtJVU09BTTOOFtaJeKK65rPXqvgBkETyxVVjsWzc5S1sXSgMmChOnToVmZmZVzxRvCjEkDt2eTsUYsiduw5iOB2Y823lTYGKxQV4Y2i3tKPWUYsdFTuQY84RxJDnKilkPzCJ4Oro1Qop9E1CoNE984nWYUOoowraI38HSg91cSNr/GOg4eNNVarptMPGwlerAwNfeuqfoLmCZgOOlg9WHxQu1BUJS8VouTfTAckMyYSqYqrqXoeq2aHy2aBpLEH18X+gDMdR5N2AEwYrCrVaBNlsmNzqQHJbMLwaw1HrMRH5c26BV0QabtJrMX7iJDE6V5VLVbFUvyYRaLG2iF24v536m9iZZAj1N8Z9A8mByT3XqHH/jGoSO33pXGVLxqhXoEuYDx+9B6rz86HZ+1exh8Q/4B3HyNqMtIY0nKw7iVN1p5DZmAmrwwofvQ9S/FPwteFfw7iAcRjuPVy4p7scKw/l3aYv17creLyF29YZu8Fj7auzKUoQm2U4Li3eCUvudmyrOIC3jBrs8PKE1qjBNV4J+E7iKsxMuRN6o3tvHO42cTS1t4nIpfez38XRqoPwMwRgQdRXMD9iFQIM4U6iaYOtpQF+ZXsQUrYDwyp2wqelBDaNASX+E7HP/yFk+U5DkWE42p1qupcLSa1vtghi3EFWe1Fde2r5cEUw6rFIdxjXaQ9hrvYETBoLMuzR+NI+D1swDZkNiTAc0cN4nOaCXWeP83tRVjvH/SShun4v053k9rcuIHH17XHyQ04nsXSO013IZs/j9cHvcXLiExngKU7u/u7XiqYdJc+SRLK0ugFN7XZE+xt7jWiTOEeiOHfuXKEoZmdnIykp6SwzS/fxnEQv4Jv/WcTQrBBD7tnNfRyIm3PBiCHBXxoGOHOZ/92wd9FW0QZUAKEeoaL2bU20ohTy635Joc0CvbkIhoZC6BsKoG8shIHnDQWIbSzGfNjh+LyrGxkxM9yqI+P9ZI4gySF3+UiEpoVPE4HHdN566vv+I8I/DPyDw1NAT87p/F1wFGzCwbyN+LejBpsDPcW26kSNH77unYDUkOmIjpgLh0eACNzesGEDRiQmYvm8ZBzwrBNXMzUlok/DxN9P/xf/OP0P8fXKxJW4b9x9SvC2ivZmIGezQg4Za0L3tn8sMPYGxbnK10g3Uqe2JDXZmpBelS6IIRXDnMYc2GFHgCEAYwPG4r6w+wQxjPWO7bcZxWAwiOPlLlHsyXlvyNwMlO4Xzvt0ezM+8PPHp74+qAv0RopvPJ4ZdSuWJa48L45pxhO9k/kO3st6T5BxZlgyvofB2Ead0Rk0f6JznEzHPMPD6Uoft0LJNIyfgxijN/jReCj+ulE1InFsc1FdmwtPIqBkK7xzP4dX+SFxufrQyciPeALF4QtRZ4pBiNWO1fw5i73Lz6sktzsp5Rt9e1MfawJOhZbngwWJYnfCedaovwvRdG9doDvhNTh3XQN8reJDSG8/f9a6wFWK87HH2XWHs+89zsrGNuQOYI+Tnze8B7nHqYa/8/95G7vucbKFJ9TXQ5wAX/HeUVtrwmuvvYb39gEjn31WJFtIDDFR/NnPfibO33zzzbP+7Uoys5wXYsias/yd3Yiht0KS6E5UFcML3KPKN1MaMUgQGVhMF2tcUxwWJS3CrMRZPY6PBaxt0JuLFQIoiGA+9CoxbCpVFCS+Meo8YPWNhtUvFs2xC0Wo757MStz6+C9g8nM/H5FtGLyPjEfJb8hHpHck7h57t+jsjfaNPgdTwCmFlOVsRmvBbnxm0uNfgUHI9NIgwRSLmw0zYcjzx21f6VY56Jxfkyy6s6ZQ11qHf6b9U/Q7c/x7Y/KNuDfl3s5e6pY6IPNzIP1jhbRYmoHQ0cC0+xVyGDGhV+cqTTvvF76PjREb8e7xd0VIOVVfKoZLIpZgrP9YRHtFD/hNlJfnH9K+XN99hbhrWuvRZDRhXdRIfBQbjwxLLYJNwViTuFI4iZMCkzDUYEUio3sYjL2jaIfozl6ZsFIEYwu1tqkKOPWh06G8WckW5O9hwnxg6ctA0iIgqP8x+7moRiZoYCo/LnYNHemfQlOZLkLtNQxan/6aMD4F+ISKDzIDiPIeFETDkMtagKqK9qiMdvteJZq9EVZXMsuvSRo61wPcXxdwF3x5dyGivSqjCmF1JZti1O/mukBPO7C9/ezlTlwH0qveFy5UHiezHvsimwb7ZZRmcrkSxQMHDpyfe3KlEkNXxZB5ZoIYUjH8jpMYMq7mwlcvUclijAsbLQ6VHxIq3KLYRXh22rOiH/hXv/wVxvmMQ6DWBENttiCAggg2KkTQ0FgInblUCWMWZNAEq18MrL6xaI5fLL62+MWK71lHJpb+nSjNy0Ne1lY4qJ66E6xcuEWohx3BynHX4gczfiBcwIPqCjZXKi5VOlZJFMzlKPXwxltRSXgnLhYN9nbMj56PJ8fcKRzH27dvx77s3t3iJIp9fSplmPjfT/8db6W/JSJvbh55M74+9utK/SA7dg/8GUj7WHmtUM1inM/8p4BRK4GQvokUI39IPPk80q0bYY3A7aNux+SwyRhmGjYkb1JUFXt0fffW7qM3wRIzFTsmrMaHtlpsqzkJjaYRCyMX4rGkNWdlVQ4VeJzfz3pfKIglTSUib/L5mc9jeexieFWcBo68pZBD/l6K6JpxQOodCjGkmn2+lXtrO5C3vTP8misEnoGCFLbM/A5MY5eLGKcLDfFhQM+Tli6ySwIcGXbfda117rq6ktqeyaytZyLaA+Gtb7F0I7y2Hi/X1/i1P1ANNfYz7ndnXaDrv3UlrArJ1cDW3gZ/qq7dbutSWBcYyj1Oc3tP43T39jibmltx3ZA9qqsD0lc+pMTwiAsx3KcQQ6OPQgznP6kQQ6pCF4EYEha7RXQNk1RsLdwqiAXjP34656e4NvZaeEELFB9E+85f4av2txG182/waKvq+Hm73lOogiSATSHLOsmgXyxsnqFD1vVMheN0zWl8kPWBiCuhWsZ9Q5JD5vb5MidxoG/QHCmSFFKpY5QIb2fYWBwauQj/1pixueYEvPRW3JB8K24bdRtifDt3cLleoWYU9nj1VmuPRJEK6F9P/VUQFxKjO0bfga+N+RqCmuuAI/9VyCEr8Uh2GfNCNYsGhX5iTaiYMc/wX+n/wr7SfUKhI/GcrJ+MDe9uwMLQhfDydC8rzR3w8Qui2AcxVHMMM0Li8aE5B5/mbUBNxVZB1r41/ltYM3INAkmKhhh8rbDJh+ohdxAZ2r5s+DLcEjkfKdWF0Bz5EHj3CSVs3jMISFwITHtAia7xDcd5B49P1pcKOSRJbWsAAtQVgusVgqrVwcrA7SHcy7zcwZEhTyqn4PMcYLBfNNezui5wFkF1UVK7ft+byap3hZb/TiMKHb99Xf58rgv0tArgSjoHsi7Q87+5EFzn/xvougAVeT+TQZwGCmX0XIvXXts74J+9mjEoonjq1CkcPHhQHHB1L0rFE088gasCJB+uxJChzxwVCmI4U1GE+OZ/EYlh971DBiazjozVb99M/SaWxyzCsJp85f5v/6NCWmxtMHj4w4IQVEZdC1PEaFj942DxjYWdNXrn8Y8079snOZ+IWras2iwxAr9pxE1YnbQaCf4DGAVyJFyd3UkM+fhI2mkASbwGrdMfwHq9Df/K/QQZNTsx3H+4UFK5K8gxZXf0RxT5b667umyc+dGeHwkV1EvvhftS7sMdwanwz94C/GUFUHFKIVeJi4A1fwBGLAG8gvp9WGx74XX+J/0/KDYXY3zIeNEUsiRuCQw6AzIyMsTlhuSN1G5T1grqcjC1bScS0j8Ajj7QY/NJbXAiPivcKLqW0/L+gSBTkKi342iZdXdiwd40tEoZjwVf0+sy1yG3PhfxfnH4TtxKrDQ3w//oF8CXv1UIOFuIZq1VjjXV+wFG1wzuzhUr4dc8sdOZIfD8O8DjRXI4bGzX36OBJZRJXASIdQGtstd8KaD7usDZCQM9E9buZFbZd+19XYDfi13X7isHPVx39+7pC7Eu0NPleovDUnNd25qHvlL0SseAieJf/vIX/OEPf0BcXNxZOYqXyi7GunXrRB91dXW1aIp58sknkZKScp6J4dMuiuHFF2q5d8h+YaqHfCMl6VoRvxQrvWIxsjIfmgPvAO8/LYihGH/FzQau+5F446/3iMJbr72OxSMWIzw8/Lw9r+KPnd2CnUU7BQGiStZRpzfp7Dq9PsHYkDPbnLuGW4D6AoBmBVXNTbwGZT6heCvrbbyT8SdBNOZFz8MTU54QzTB9PUa2rnT/QKRC/f8kimfqz+D3R3+PXcW7EDE6Ao/Gr8Kt5lZ4b/0DUJcP0KxBUrjgGWXc6aaCRNL87/R/i+eTx4vu6FfmvYJxoePOOp7EgJ4vm0WsFBjqzsBQf0Y556khDxqbMm7213igQZvQpfnEqtWJx/lhzjvYsn2LmOTOj5mPhyc8jDnRc2Bg+LPLfRrKDz1UDzfkboDVbsEin3h8XxuNqacOQmPdAfhFKWrhgmeVncPzoGL2cMeAyvROVzr/Tmh0yrFa8lMlyiZApkRInN91Af5+BBkvnupKotiperq4/3vabe1hXaDv3dfOr7m32HX3dWDrAnrY8DX3TNMSTgyY0fz3v//F888/j5UrV+JSxBdffIFXX30Vzz77rCCH//nPf/Doo4+KLDgS2wERw/Juo2Rri1IPFzdTebPnG0H4pUEM1b1DRsVQaeE4zlNnwjXB4/B0aByml2dD/8WvAb75dxDDF5XHIJpMOnf97DU14vx8/rFpMDTgt8d+iw0FG9yu0+uxMk0QQ1amHRKVdQgZocTGUEGKny32IOmQ/lfa38VokruYjM7hHl+sX6xb91VtHuqNKNYaavF63uvYd3QfPMo1+KpHFJ4sKIJn2m8An2GKikQzygAy7zhe3lq0Ff9J+w/2le1DqGco7km5BzePuLnXyry+SJnG2gJDXW5XMlh/Ruyealj3xts0BcISkIi2sAkwj7gRloAEcfp02yGEhoXhxvk3Irs2Gx8efV28xvi8jQwcie9M/g6WJywXSuL5ACOQ1ueux1vp/0FabQYitCY8YG7FDVVFCEGx8lq+5jkl8PpCVdVxDM8Pi2ozCuOd+KGRHwBYHcnw6wtBUiUkLhFwpK3kwlJ1vXhTtD7XBSw2VNXU4rP/KlmpEu5hwAyHb5oTJkzApYp//etfWLNmDVatWiW+J2HcuXMnPvroI3z96193/4p+PQawNTiJ4Sxg4bOXHDEkqDDR5ME3bpo+uHc4zSMMP7EH4trCdHhnZyq7WfEkhj/ukRh2x6CUqX7uIyNa0hvSRZ7fqZpT/9/eWYDHWWZv/x5PJu4ujVRSd3daquiiLVIcFpZddIFFll124UP+QIEFCtvtAosVrVAv1N0tjVvjPpLx7zrPm5lGJmnSJmnTnF+v93pH05ln3pm558h9UBVVBb9sP8xLnCeEGwnFc1KZc7YBJXOLVHdGI9MSpgBDb5MiSfWRG2qCIXFBjR40JzneNx5Pj3padEiT12J7cM5Odnpu6Sw6HKo8hIMVB3CgfC9KIysRUanC89V6ROUUQ+VrgOeVN0nNKJT6bGWtm0KRTrJyoagZpZepNvO1ia8JOxdKL58LjaMOHmVH4GWQ0sZqpyDUnXHdxqoNEwLQGDUelhRJDNJmb0GgG+V12G3ajW9Xfotj5cdEF7xILSdd3bbX7TxJrziNbw59iBX5v0Jvt2CisQ6/r6nBBG0UFElzgOnSj4Euq+0j6ySKVtNUlNQ1gKEMoEatPrOB2f8P6DUJULVt3BnDMF1fLkCf4X4K7npuL+1WPLfeeiu+/fZbPP7447jUoO7TU6dOYdGiRY2+5EeNGoUjR6QGhqZQkX7Djk4aaUMUDfk9LNHjYAwiUVW/TKSfCi9+fQMd7Fm1qdh2ZhV2Fq1HtU2PRLsSD1ZXYm5tDYKVNdBHjEb1yGtREDEWpoDeZ7uOyVngTE2rf7+6WodyuxaZlRZUwtBuwVhjqUS28TRyjKeRbTiN/LpMWB0WKGUqxHomobdqOIwFdjx87RPw0fqKDP5RavBogtysg1fhLngXbIFP/hZoami0nAKG0KHQDbgbtVGTYAwedLbuTAdUlKVhQ8GP2FjwE2ot1RgSNAZPD3kDAwOlDunMYnLqb/5/tUZ6eR1y1NX4cP8bOG04jgxbGewyIN5ixUyDEeOMRvRXRMLa+zZsC46B2S8eHinDpTufY62d5OoysDbvO2wvWic6o8eGTceD/V5Cgq8kxE4VSiMRmyKzGOBVtAfeBVsRlb0Jf0YmsJ4OVRmM2ijovOOgC50GfUI8dD69oPeKh82dUKaHWWOAzWFDkSkP2YZU1+tXrimGzCzDMNl4/GngKxgaPBZKuarF163psWqgWdie1jYdR3Z9IY6kLcWa8q04Ap0wNr9Jb8Is7wHwSZqB2uhJOOHTIBJc0v7Xsz0o6irhk7sRvjnr4FOwBXKrEXV+iahJugG1cTPEseh6bxWThVAbbIQucI16IrxGvEYddRzV1Na6zhtMVuHq0FNxtLE0qN2zninV9sc//hE5OTlipFdTw+3XX38dF4vS0lLMnj1b1FEOGjTIdfk777yDAwcOYNmyZc3u89FHH2HJkiWu8/R86G98bhwKi7BZvnTwUBYjxn8T6nxTUaWpQxCNOtPrMakWKK9Lxm57CnbZU5DmiIKDOpi7BBvkHoVQeOZC4Zkj9nJ1pbjGbvGHzRALm5G2ONjrIlr9bSKDHf1l2ZgkP4JJiqMYJjsNtcyGXHsIttgHYat9EHbY+6MWTRtOHJB75kIdsB1K32OAXQVL9XCYK8bBYXGfpm0LwShHf//VKAw8iUKNHb42G8YYTUg2qOFliMQZcxKOO+Jwwh6PsvoxCqbC02KviejdprVT+pyEKmAHlF6ZsFt8YakcDUvVaDhs7ps/5LBjgCwLE+RHMVF+DMPkp6GRWXHGEYhttoHYaU8R850zHREw4dxpbplCL9bu7OuXD5ncDIdDDntdpOu1s+kT4LC1s9u8DShhxVBZOoZq9kDnfxLbfa2oUCiQYgSiquKQXz0RBx19YelCg4YYWTFmyvdjhmI/RspOQSFz4IA9CetsI7DePhwZjnObwjMMc2ki1ShKqecrbrgTg2I6p2SmO0CBsffff7/jZz2TEKSO5xEjRsDPz6/b/wKm6OOCBQsaLdx7772Hr+8bDZX64pqKUbQIhTuwP/8nbNIdxwGFBVV2O6aabJiOJPSLno66yPEw+SfBSyYHxVlu6ID/t7q6WkSNx4wdi8CAgEavsc5a44o00T7XmA6LwwwFFIj2TECc5zjEa/sg3rM3/FTu34BFRUXYt38fblt4G7xtVSIaRhFD7zPboKyrEBEvfcQ4lEbfCl3UJJh94zCYSh4APNzg71jsZuws3oS1ectFhDXcMxpXxjyCiRGzoVWeXzqSzMM9s1ZhW8HP+FxehQMqJUZaVJhZGIVxQ26D0a83bEpJqIY6HEgxm7FhwwZMmdoHSYmJOHZIqpIeMGRYi/8HRTo3F6zEhoIfUFZXjN5+A3FlzEsYGTLZbfOOqjYX3gXb4FOwFV5ndkBpqqpfo7Eoj7oRuqiJMPklwiM7G7aNG/DQjPHQuLHroUhlkSnX9dplG9NQZi4U1/ko/BCn7Y04z7Hi9YvxSIBKLv2NnTt3wj9ajWnTxl9AJMjTdRypavNFlNgzbzMOVuzDcq0CX3l6wEumxHSfEZiSeCfCglpevw7H4YBH+TERNfTNWQ/PipOwy9XQRY1HYdztqI2dDpU2DHMBsXX8f998jRheIz6OOue9VlNbg43fSkKxf0wIvL17bmeLqo3R1HYLxVWrVuH//b//hwkTJuBSw9/fX3SoVtQ3Yzih80FB7ieAkP9dQw8858L1j/Jv07SNDsWsFwXy1qwt2JG7CSvrCrDJ0wNmmQyjVL74W9hkzBhwG7wiKN3VeV8olV4ObJIbEOcrg0lbLGoLndsZo1TrRiP8+vn2w+Twhejn1w+J3onSSLRWkFnroKzOQqxxD5KxGcPXLIe87JSIJYqJNCPvEnWGiphR8FWo4NvC3ykxlOCb1G/EnGSy1BkfNR5PjnpU7NttwE0B9ZKTwtPQePJnfGfMwVI/X5RqFLjCrz/eHPkEjEUqrFy5ElH9xjW5qwN1dXIclBuQGKDCwGh/1BVKUTc63ZTUilRX9zKJNmrcIW/FFCpvaNrBnbVFqocjY3BqlKAu2qjhwJj7gYSpUESPaLZGKn0xDsoM6B3sAQ8PD9RYapBak4pT1VJtaFptGow2I+SQI8E7AWNChqOvb1+xtWbOnak2I8xH5vY5nXt5HdBVWuBdvg8yYVe0ASWVGfjexwfL/f1RHOyNAb698Nf+d2JWwuxzjl/sMJzzs8nC5tRqoCb/bFf69D9DnjQdvhqfFo/BjkSa0au8aN2q3QFeo8t/jZqbrLc8frLpdQ2nCbVqsm61wVhXB2dltVaj7JZr1VG09bm3Wyj6+voiOvo8x6V1MiTy+vbtK8YITpkyxZUqp2kyN954Iy45TDqpczJ7GxzZW3Gi7BhWajVY7eODCoUMSYHReDBuNuYOvAPh3i3PDu5IdGYdVuetxpbQLViRvgJ19jqXsBgWOAwLfBcIYRHqEdriQUaRUFV1tmimOLtlQlmbLya5kJ10FXxgj5gL+ZSngF5TAK+gc34IHik7gi9OfoH12euFKKUmGDLHJh/EdkGWNmRhcvJnIRB1lZn4KiAYn/n5oFobhDnxM3HP4AeR4C95N+4p2ONqaGmK8/KWfBatdis25W4SApEm4NA0lvsH3Y/re19/tkuYOuzz99QLw83SY6MO7qAkqZOXTKKpCcmj9VnIVZYqZHpnYnH6YqTr01FgLBCX+6n8xGt2U9xNYk/zuj0UbW+6oOdGP8DaJb7LTksG0+kb4E2zs60m7AqKxrdBYdjkEyNevzkJc8WUmv5B/dElmGqlx0TCMG2t5AnpGy11yVNnOnVPX0TPU4a5mD6MTsHVkWMb3RqUd/DYRqLZ9Bq35uDkw0hm3ZdWSVl3oN1C8b777hN1fS+++KKIWlxqUBr5pZdeQkpKCvr374///e9/MBqNl4adTwNhKLYzB1Akc2BlYChW+PggMyIEgWo/zEmcL7pzqaO0K37tkJjZcWaHMLvelLdJdE6HIASzAmZhVPQo9Pbt7VZYyCz6s1Yr9WJQXZXeuMPWK0JYrtCMZ9pTd21mrQobtu7BU3OegtKz9QgSPZa12WtF9zJ13Mb6xAobHTJz9iY7krZCdjq5O4CT5HW3EqgpQJVXED6PTcH/AhWoc9iE8CQLmoZTWc4llOj1IbFI01kaUllXie/SvhPdyzShZVjoMLwx+Q1Mi50GlUwpRTEPfilFDLO3S4bg1J1OHdzD7xRRw7Z471F3N03Z+TnjZ+FH6QhyIN4QjyEBQ3Bz3M3o69cX4R4X5oVJP7aa1iI3g0QX+VgKcbhRitApNKiKG4PvBs3Dj6Z85BgKkaj1xVN97hHm5u2esHM+1BbXRw1XAVm/SfZQYQOA0Q9I/oatzM9mmI62aml5Okv7Jru0ZJRtNFlgc8hajMRdjMkuNF/Z/dQWRbP52u2d7ELX04jEtn6+nZ3MsuG8n39P5Lx8FAsKCjBz5kxEREQ0+wIhe5qLCT0uOhA+/PBDYbjdu3dvLF68uMXUc+cLw10NhOFBMctX5x2K9VF9sbLfKOw1FECj0GBq7FQ8kTAfYyOpo7TzC/edY/JIHNKYPOfEFjJMnh45Hf99/7+YNmAaov2jIbfooCpPrReCDSKEeqm+jbB4RwkhqI+fWS8IaesFh5sOW6sh+5yPr9RQKqZufJv6rfDrGx85Hu9Pfx8Toia0Pb1sNUlCjCKHFEUyVghD5tLeM7DMU45virbDYSkWUa07Uu5AmFeY+z9jtbYaUaP3AHXcE1lVWVibsxaHTtE8YQgbGfJs7KcOkB7Ljw9Le12REFIuQ3AShuHUwX3u5+aMrv6c/jN+yf5F+GcODB6Iu3vdjeLfirHwdwuh1XbcCD96/s1qWSgqW3hIEoVkWZS3ByA/xuDecPSbj8NhSfi2Ng1rcjfAXpUn7H3+2vefQjB3+o+f0tOShQ2Jw/x9khCMHQdc8VcpehgQ37n/P9PN0pjNZ0O3KY3pNsp2NkLWUPhZ7Rc+K7r5FBKFK5JGgotmKXupFdBq1I1v25ZZ0a2O8Ls0ZkW3R5TraRZ0/Yxn56xnaS60BWWV1Rf7IXY72q1InCndS5mbbrpJbF0OpbbImNtp0i1SiDZhumyNG4+dCWOwwlqGzSX7YTLnYGTgSLw89H4xZ7ld0bELgKJbKzNXCt9FmiRCc4JJzMxPmC9FMOuqYMnYghn2X9HnwCb47iiA0lAi7kuWK1afGBEV1CfMqfffS4TFL14YW7cXd4LhSKmUXl6Xs05M96DI4S39bmn7CD8S5+nrpTnKp9cB5logMBEYfgcK4sdgaele/JD+I9Q1aizstxALUxae0yiaRGBrQlGulGN35W589MtH2LZrm1jTB2ffg+tVYQjI2wd8fRdQckK6cfhAYNCNUjqZJvqoPNv12tHrRtHD7JpshGnDcFOfm0R0jtYnPT0dX9i/aHGKzPlCz1/U8epK6scibpD2hnLJZ5QmoMx9E/q4sVhVcUTUj6YeXYUo7yg8NOQhXBF+BWKDYztPINLzLdhXPxllNVCeBlCtI5lfX/MBkHzlOUsbmAtPY7rqxFqdwHF+aUzaG+rMsEPeSrTtwtOY7R0n5+epatM4OafgajxOrpX5yc7zCrnwA2zr6yDGZXbjGkW9yYZak8WtyHOeJ7HnukycP3u987LW8FY5cMOlY4V8+aaemYbCsEnEsF4YUk2ZY8itOBkYhRXlh4X5c3nePiT6JeL+wfdjXsI8hHuFd1ndIU1sIYG4t2ivK4L55MgnMcavN5Q043nvfyWBW3QMKjjQDz6wyFKgS7raJQitJAhpzm8HY7FZRBSO0stHy44i2jsajw1/TKSC25SeNFQAp9dI4pAiXDSWkATZ+D8A/eYjS63BJ8c+xeodzwhBTutPtY2+at82C6WmkfMyUxkOVhzE/vL92Bu0F6YyE4b798GfAodheHkBxv78vDTjl0bKUbRw4uNAr8mAd0i7p5LQRJmfMn7CnsI94rW7Iu4KPDv6WYwKHwVFg9nFDY3BLwiHHQpDKZS1eWK830TjWgza/zWwOV26PmKIlB6n+snokUitzhTicOW6O1BnqxOjEf84XBrBKINMfHl1OJY6qeGHxGHqL4C+BNAGSebXM/8mpfDbIcJ7ShqzUfqyFYHmrqbsoqYx6y/38lCfjaS1EAHrqjQmI0E/EM5G7BqLtrNCz9Jc+DURg0aL+zpvgl4Sb7US3h5Kkcp27n08lIj082x0vun13hqV67xWJUdtTTUWL97PL187YF3dHupq6msMnRHDQ/XCMFxqNhi6UIxpK/LwwsqsVViZsQIZJzJExIo6XCny0y+wX5fVHTac2EK1bCQsXh75NK6wa+BNka6f/wwUH5OcxP1jpRFzNH4sbjze/+BzjEkZg8TExA5/vE4hU2Ysw4pTK0SKmU7TzOX3pr0n0ssNBZBbaoskkUDiMGur1PwRMxqY/gLQb55IL1KX8ZKjS7Aue50Ygfen4X/C73r/Dtp2RD/pserrzLAo5NhRsg+HKw/iSNVB5BlzqVcbyTJfzNfbcZ2uCgOz1mNviUaqe5v5iiQQg5PbXQNHHdH7ivaJyCEJfIPVgBFhI/DXcX/FzPiZLU6WaZdQJDGoLxFCkAShsiYXqhra0/l8yG11rihyX/jA5DcGXtOfkqbfeIeI44nW9eu1i3C49LBY39tSbhPr2/AHUEfOehbd4BQlprRy2gaprjOglxShpRGJMaPOmq93QRpTqhNrLrban8a0wUC1ZZDBYpUic62lSjsijalRKc4psERtmVfzSNc505giVdlSJO780pjdPVp2qSEcGyx2KXrXJGLXPFpXL/JaEHp0bLYEvb4u8dZAyAV5axAX5NXoOhJzPi2IPK1K0ebI6rmeN2WHHv7j41ApFT3abLvDheK0adPw/fffC/uZtjB37lx88sknooax2wtDETGsF4ZUk0WCxCdCEobDbpfEVWAC9FaDFLXb/yr2FO0RXZ3TYqbhsRGPichKV9Ud0rg6EocigllXjkTfeNwfMRnzjGaEZx4Adi6vF4Zx0mMfKwlDBMQ1+luUamzaoNERVJurcUh/CHuC9+DHlT+K9DI17tza91ZXl3GLVGRJwpC2/D1wyJWwx02A6YpXURM/E3p1MIxmG47nHcGPW1/BscpdCFCHY1b475HsNRW6Ujn+VZAnbkO/Xmmrs9hgoPNm6bTzcqPzMhTDL3glbD6nYT9hh79VJiaxPGLUYYyxDjabN07Y47DJcQX+ahuAA3UyqPJVCNqUBM9tZ6BVl0jzT1UKaOvnoJ49rZT2Kulyg6MIR6s2Yn/5BpSbihGujcJ1iQswp9c8JAbEwkPZ+oelUyi6Us92GxSGYuENSUJQiEGnKKzNg4waO+hokMlh9Y6E1ScWpvDh0PW+FlbfWFh8YlGrCMDX3/2IWybegsDevZFTk4Nv976BHzN+FOMGx0SMwVtT3sKUmCniteyIY7iRKKrMhSrtF3hkrIHnmV1iLrUuaBBK+92PoojpqPRKgJm6N0vsMBXmN4+sWc6V6rwE0piUXpTJ4O2hgqY+pdkoYtZitK3z0phM96y/K6/Rw+JQtJiWdZ03WWFr5cCmY6ahaDsbvfOAd5gk4Oh8c6F3NnpH19Hx2NnCntakymhBhd6Ecp0ZFXozyvVmVNbv6bzzMroNnaZSibdvGoJrhrJ5fltok3qpra3F9u3bxa+5tho2t2QX0m1YOhco3t9AGE4UdW5OYUjfAq6o3daPsDl3s0i7jQwfKSI/VLzflXWH5M1HAjGjOgOBSi/MUYVgvrEO/bK2QIYtDYTh76X5uBRBbAX6pdWW15C+2OkHpcXuEJEOq83hOk1vxkpzFU7XHkea7jgyDMdRYs4X9/NQ+2FayB0Y4DcTDqsnfjlIQi1VEm0k4IRQsyLQkIFBtVsx0rgNCbYsMW1kJwZjjf0hrDENQdVJb+Ak/cVjUGgzoA7eDKVXBmymEJjLbkRtzWDkguZ9ZkiCrF6UOQUbzQGlvb+fSlzmPK+0FyK9/CPssKUiwGbFgqpaDLP5wk+TiArvPqgIT8Y6bRJ0Cn+kpafBbLHhhvETkXL4gPilHpYYLZ6LJEKltAp9OJfWmlxClK7TW2th8TgIuc9+KLQ5cNg0sNQMgrX6WqQZ45C2X4Z/iSconiQ8VHJo1UrX8xBCUylHjKIMiYajSLEeBFZvgcZejGBrEZQOqcnGBjmq1OEo1UShSjMIVRGzUeMRhVrPKOg9IiBXqsWvf6VcBoUMUFplUFTLYNDXIt/mha+ztuPgsVeQVnsAHgpvDPKbgQHhV8JbHoHTmXYcPZ3lNo0pdWKaxf9/zm7O+vv2k+Vihnw/Zir2YYA8G2aHQkwcWme/Hettw1FcEAgI5x8qSpeMc8+VxmyazqR19KX6stYEVhvSmELYtXB/Wsu2fElytOzyp631d640bb2oa2/9nadKDh8PSaw1FHpBDaN3TdO0TUSel0YhjuuLBX0OVBrMDUSfJO4abg0FYJXB3OzHHP0eCvRSu7YgLw16BXshQKuCl9KByCAfDIvruRNZ2kubRviNHDmy3X/4hx9+uGT9FluDJrO8+uqrGK86jFPq/jimHoQieYQrfeiAA2Z5HmqVu6FT7oVNXgOVPRw+ljHwto6CytE1B58dddApD8Co3A6dIgNKyDDO4MDNtSUYa6xDmTxcPPZjqoFiK1OEtuvvFxcXQ6lSQ6XxkARgvfCTTqORIGyITFELhTYLCq9MKLSZUGikRhi7KRhWQy/YDAlic1jPegI6I2wk0rQqGQbJMjDJtgujTTsQbi2AUe6FVN9xOB04FWeCx0Hl6eMSdB4qGXKM+7Gp6Etk604gzjsZNybdgSkx0+GlVglRRV/ibYqk2CyoTV2FpQffx+fmQqgcDtyjDEFUZW9UB47GqElXNC/it1hw6NAhMW3mkUceEZ6d53rPOH9gUGqZPBatDivGRIzFlXHzMCJkAuw2Vb1gtsJotsNQLzSdkU9LnQ5+FUcQUn0U4bVHEaM/Dl+bNDYx3xGMAkUMChSRyEc4chGBXIShwBEMk0Mhogj0+kl7B2z1Qr8R8jooPAog9ygQe3od5apaMY7RXDUa1ppBgOOsyGpNYNFpBezw9FC7jaqJjk2FHXG6o0go/w2xpZvhbSyARemFsojJqIiZAV30VCi0fh2WxrzUYKF46a7Rxa6/k4Rcc+HX8LwQhvX1d3VGwyWVnhdTh8w2NyLPJO11ZkkUOq/XmcWaNYXe30GNhB/tNQj0UtXv1QjyPnudr4fK7Wc+v9fc650OGeHn/PLrSWxIek6Y71KynTajvRxnrDuQb90GnT0fapkvYpTjEK2cAF95fJe8Me2UdjPvQrlpLdJkWbDCjpF1dZhXqccwiz9KtEOQGTQEr3sNRbX6rNULTTtu78RjWfUZeHrYER7qJeqaKDri3DtP0xez2VGNYtspFFlSkW86iQqr5KEYpIpAgnYgkr36o7dPfwRpgqCi+ypkyM/Nxb49u/DsU4/D21MDmd1W73FIaWXyODwjNSYMmgv0uwqevSZhiFKDIQ0en81uw4bcDfjk6Cc4VXEKQ0KG4P3R72Ni1MT2vRb0O6nwMEyHvsBXmT9jiVYBk1yBBYFDsGj8C/ALluyVIjxbNrv29PSEXq8/53+VVpkmxCE1FVFNJtkRPTz0YdF1TkbcLT6+8nSAGo5K9kr74uNSpJsafaKGAYPvFk0lpR5x+PQ/32DO7DkYHhqK4W14+jqLDum16Thdmy72mboMFNVJtkdquQah8gjIy6Pw5LxnMDC0fyOxdkHRMppCRJ3TZGFDjUhUf0iR+/5kfj0HqviJiFBq0M2LV5huUn/XUAg2FITdrf6us6E0bw2luN2ldkUE0IQKg5QGJtFH11PGoCm0FgENRF9SiDcCe0mnA7RO0adxiUMKJFwq4rcnws0sLfDXqwfAKrdiQ84GrMhcITpOqe6QuoXnJz4j/A47oibrXDh0pTh1cjlWZK3Can0uyuUOJFrNeMjugXmhoxE+dIaUSvaLBlUZtj/2657//e8YFAo7Ro+OaPQGpW7fY1XHxHa06qhr+ke0NhqjQwdjgN8CDPQfiEBNy5FVvYcMXqiDNmcTZKdXNfI4RMpVolMZMWMARfPD02K3YHXmaiEQySKGauT+feW/RbNHuz5IqguAo9/AdvhL/GzMxweBgSj10eDa6Kl4cMyzCG3gqUgisLVfWyQU6ZeZ00uxIeRPSfWiP6X/JOpH/TX+orHpqqSrkBKY0vwxG6uAgv2S/x+JQtrqqqTrQvoC0SOAkfcA0aOAkD6Nmjfk5eVi35I9Do30y6jNEIIwXZcuThfVFYnrPOQeSPBJwKigkUj0SRTTW+g1PXHsBI7lHcOUhA6YvawrBU7/Ir3eNIHGWic9pxF3SZNRaDRlG3wkmcuTi11/F0H1d/UCrjWR50zTUvlCdxcvlBKvMJyN5jlPO9O+ztRvpb5eHBrMzdaWloDEnYj21e+jo/0bRQAbpoADvKRaXKb7wEKxBV7Y/gI2ndnUqO6QbEk6fZoEfZnmbEdRxgasKtqBlTI90tVqBNqBOZ5RmBc/Gyl9r4fMv3PT+s4omVMYHq0+KoRhoVGKNsVqYzE4YDAW9lqIAX4DEKAJaPmP2S1QVWVBXZEqtiH5BzEep6D4+l1pTB3VfpI4jBzWYocwddn+mPYjlh5figJdgWieeGXCKxgUMqjtT4o8FilqefhLOLK2YLO3L94NDUeGdxBmxs7AI8P+gHi/xmbMVKdJIpDWoyW8vLxctbyE1WbFxhzJ0mZr/lYxynpS1CRhy0N7lXNMHEVSS06dFYQkDktTpWYjD38RJRRd6DEjpbXxbL2ZzOn1SI+ZmoacYlAIw9p0lJikMgBPhaeYzT06eLQQhEneSYjURkJB86SbQMcAje08byoyoTr8PZC9UWoMI8hkfOpzkjgMSjz/v8106/q7RrV3tDdbRQC9tfo7avg5m3LtfvV3nQ015FVXGeuFXcu1fc5oYLWx+Y9byhZJwk6K6IX4eKBvuG+jtC9FA51C0F8r1Tczly8sFFsgtTIV9w26T6QFI71pOnFnCkPJh1GfvQ0bjHlY4e2FPR4eUGvkmOY/FH/qexPGJs/rmghmfef0eut6HLUeRdWuKpcwHBYwDAN7DUR///4IoEkjbpCZdVBXnoa6nEThKagqTkFdmQ4ZeQpSRNAnBhXqKGzDaEx98HXIQ/u1ah9DPoLfnv4Wy44vE+naWfGz8M7Ud9AnsE/bnhCJMRrddvgrSSRaDNgXPxJv9x+Nw4YzGB0+CK8M+xP6B7ufN2wwGMS+tXGVJCKpdnVf/j78cPQH7CjcAXu0HSlBKWLcIEUQAzwCAH2Z5PPoFIYFByRDcJo0E9YfiBsHjP+jJBBJQLUjWkGRy3X567AzZCc2Zm1EZZpUs6hVaEWEcHzIeCEK6XSkZ2Sbp9uQUPTza33GtNs52vWTUWSlp6BRaiSroKveBXrPbreXJHN51t+JCN456u/EbTVUa3zp1d91xWcxrbEzhSuJPRJ/9R2+TdK+FO2jesCmUNr2bF2fGnFBWgyL9W+U2g30ro8GeqvF2veUNWY6WCiWlpYiJKTnfMB/NferzpllTdMtyGonZ7vYW0tPYZenB1YEhWOTN1DnHYSRwYPw196/65oIZpPOaaqfS69Kh4/cB/H2eDww8AGRSvZTNxEL5EdlKJaihDTejwRhRaqwXRFXy1UwByTBEtgX+qSrYQ7sA3NgbzjUPjh9+jR27NiBaa2IxBpzDb48+SU+P/m5MAyflzgPdw+4u1nEr0Wojo/E4dFvgdpCICgZqaMX4R1rIbYW70OKZwo+Hv+SKCFoDWeU0F1EkaLNhyoP4UjVEfwa9Su+O/gdPIo8MDVmKh6e+wCSTEYpSrj6aUkYVmRKd/QKkVLHkx6XRCEZWGva3yGfW5MrPDKpIeZQ6SHxxRKgCMBw7XAMix4mIoXhnuFtH3noBqovDAtzP9rQhdUMZJP59WpprjKtt2cA0HsWHFOfgy58NLwDQnmm8iVQf9fw9q0ZZVOEqGntHQk3p9BwNlBcTvV3nQ2lbKlDt2Fkr3lDx1mLF7qMGgibQtNgGqZ1+0f6ulK/WoUdkUG+CPaWGjxoo8Y/hukSoXjjjTfi6aefxqxZs9AT6LBfVE5h6NzKUimxiNSQBKwIjsBq/xSUWXVI8IvH/YnzMbfXXER4d00Jv96il7wfM1Y29n4c/hjUhWrs3b0XY4PGQiFzQFWZLgnBekFI4lBhkqJWNrUvLIF9YIydimohCPuIOc84RwTU3RpTZOyzE5/hq1NfwWwz47rk67BowKK2RXVriyVheOQroOgo4BkIDPwd8ntPx/uFv2FV5krE+MTg9cmvY2bczDYJKKdQpNnJZISdqcsUE1kOVh7EieoTomM5WBOMaEsgrvIajiRvPRRpe5D0r68Aq1Fag4hB0hg5qi8kYUjWROdxfNGX5fHy40IYkkAkQa+Wq4XYfWHMC5gQMQEfvvUhJiZPRGJoYsdENGprERDgJnpcVw2krZeaUWikn6lGel79rwX6zJHGE1KNKX3Bd8Zklm5Yf2cgiyRheWLh+rvLJCLbLLXrrO0jQdjE3oW8/prqXRLkonmjQWQvkRo73NT2SWlelZjp7A7u6GUuulB86KGH8I9//AObN2/Gs88+2750VE+CxEp9KhnZ24UwFAQlozh2BFb1GY8VunSk12QjEHrMTr5azFmmNGVXTWzZVbhLeC6S4KDav2bej1V5OFP6DbxrVyNixefwqMlwmTNbvKNElLA25Zb6KGFf2GgSRzseO32gNX2uxfpi/Of4f7D89HIh4GiG8e39b0ew5zn6tc0GKYpF0cOMjTR4WUSyMOVZlEcPw8fHl+Kbnc+IJpK/jPkLrk2+tl0p/KLKImR65+DtjMU4Wn0YtdYaeMjUGKQOxwOKeIyrqUTfggyozNVA8VbsrQoCwlKAKQskURg+CFB5XNB4Qxq7uClPEoclhhIxenBy9GT8fsjvhZm7c9KMM+rSUUbpRqNR/K3AwPrGJOpGp7UmcUjTcKicgJ7f2IdFpzLCBlx2UcOLVX/njNbFUvTOdZkUpfPtofV3nYmYwEQ2LiLNa2rk49eSgbM7T0NqcHE2bFBqNyrAEwOj/ZqIvrPiz9eT07zMZSQUb7jhBowbNw5/+9vfRHTxueeew6RJkzr30XUHaJRcg1Qyyk5Llwf3FhNPDBP+iA1KG1ac2YLdhTugrlWL1OSfRj7ZdZ3TDoewkKHubeoYpoktCX4JZ2dOWyh1uA1Y/ZS0r8oBxe/UijAYvIfCmDwf5qC+MAf0hkPj2yGPxykU82rz8O9j/xZdwR5KDxE9XNBvAfw0fq3XwdF6kzg88ZNU50dd0nPfFBEtvVItahqX/fRX0aBBgoomv5CgonRbsa7ObZF3ZaPzdSjFdth8f4YjyICIAg2mGs2YayzHSJMeKqQjzx6C4454rLfPwAlHHI7ae6G4tgJ+VhXiDwxGcKoMQd6pIg1ElhnB3tKXA1k/CPsHrRpKN9EBSrVvK9gmhPzWgq3CwibSK1JEQenYGRY2zO2kH1pTmkndUWb31VWVCHGUISbra2DLr8CZA2SUKU0luvIVaa7yOYzbLxb0Op8VchZJvHH9XY+K4FKjRkNh56zxa36Z9P53l4qnNHrD5o3eYd6Na/saCkBvsnHhsn/m8qNdR3VUVBQ+/PBDfP3113jyySfRq1cvV6elky+++AI9Qhg6t/K0s8KQvkCn/Bm22LHYVZslhNmm42/DaDUK+5aXxr0konZdWXe4Omu1iB5SmtI5c3peyAikVBZClrED2PgOUJVLMgMIHyClDeMnoMovBV99vxrD+g0Tr3tHIlKa6lo8s/UZYR1DopDEHEURW51mU3paSisf+QaozoMjIB7mkQ+gLOEaFKuiUFqrw/otX2BLyVcw2Q2IVc5AgHkWVm5R47M1u1s0c23Y5UcGrh7aXMg0H8GKEszR6fFoRQ00HnEo9+qHioAkrPfujUrvJFiU3kKUBSmViMvNgT23ADNGx4kvKG2Yj4hMnC7WYUdGOcp0JlFb1hSaFEAi0tdLD4f2OGrkh1BmPQE7rIjyTML0yBswLXYahkekCBPZc0WdaaJOWyOKMqsRCn0RlLoiKPWFUOgKxV6pKxSXx+gKMQZWOA54AclXAKMfAJJnANrAy7r+7lwmx87JF1x/13VYbHYx1SivlqZ2NPXxMzVq6JDq+yzNbFzkDW1c6rfYQG2DtK/GZe9Coo9uS1Y6DNPTaffPn8LCQpF+JsuMyZMnNxOKlx01hfXRwvp5z2R+TAT3AXpNAqY+K81K9glDakWqEGWr1rwnOnR7+fXCvQPv7fzO6SZ1h828H8NG4U/+QzC2/AxU2z8Hqv9xVhj2nScJXKopayAAvOo9AZ1dvx2R8j5Vc0o0f2wv3468sDyEFYXhyZFP4vrk60U0kb4MSmobR/sMlcUIyVmF5KJViDacgF7mjd9U4/G94gH8VtILFnLr2ZgFpe8P0ISsh0xVBZluJPxNc6H0DIPaS43kUKn2p6GZq1QXJKWISASQACsvPYV3tzyDH2rT0NtswX/kodDbJuDX2BEYP+UKkJMiVY9GNJnMQuIsV+kHe84BTO7dV9jljBzZ3LaHJqzQlxmJxrJaE1Ir0nCwfDvSdLuQZssAbHJoTMmQ6+ZDX9EHp8z+OAXgczGvrkCYXDujkc7IpIhWetXvvdWohDcKdVZE1JrhZauCtq4InsZiSQAKEVgEhVMM1teYiucCGWzaEFFGYPWKgCk4BRmlJuQZPXD1I6+1mj5vWH9HAq5h6rWmA/3vSNCTSGtqctwT/e+6OzRhyFm716yhw9Xle9bepabOzbQOhbxRNC/czwP9Inwl4efdfHoHNYGwjQvDdLJQpLF8b7/9NkaNGoVvvvnGfZH75cIvTwF5DYQhGQP3miz5v5Gw8pYmaVDNmJiznLlCTN4gP8HZvWbjqsSrurTucHfhbimCmbsRRmsdRnrF4q8eibiiMA0+6V/UC8OBkl8hGXQ3EYZNoRQmmUy3RSiSwKuzOqQZxhYH6qw0ds6GM8YzOKU7jCzjURSYT8DiqIMKXvA2J8K/chBiw67Gd5vtWLJyZ6MvAzUsmCY/iOsVW3Gl/JAoe9urHIHlgX9BduBE+Pp4Y4CXGhO1KpTaDmFD0X9QYMjEhIgp+OOIR9EnMKnti+dwwJq9BV/vfA3vm3IgcwDPevfB7654Dsro4XjzzTeR4HvuCJq/v+RxWFVV5fJVbIpGKUOp5RQ2FUv1hrm1udAqtRgfPR7TYu8RU2WcKXfnoPtyEpX1dVMkMsV5ET0xIbfcgNM5+fDXZyLKkovesnzMluUj5mQJIk9VQCM765FmcGhQKAtGiSwYpbJIlCsHo8IzBFWqUNSowqDTBEOl0tTPR5bBwy5HTk061B5aHF6T2WX1d+K8Oz88DxrFeJn/KO2m0A8meu+6Uru65uUcjaxc9O6j615k49JgIkdCiDdGxDuNnFX1Hb1+4kdRwx94DMNcIkKR5tgeP35cpJznzZuHy52SE9tQ4DMQmXG3I9trCHSqQIC+d9MA6+kcFFqWI9+yDWW2Y5BDiXDlcIzyvBohykGoPaPEF2fog/BY534423OQb96KQss2GFGLCJsaC3UG/K6mGOHWPBR6JuOw1zhkxg9Fttcg1Cl9ASOAk7RJUapW/gOkVQbBXmGDT3EujBa7+HAXe6u0l043mPcsN0DplQ6FVxqUXmmQq6vgoPnChljAOBkqUx+oHDEw26ywm4yQhSqRGKLGSPoy0KqQZD6BPsWrEJ73C5TmatgihkI++B+QDfwdxnoFo6GRzaGSQ/i//f+HAyUHRFr/tSkvY3DI4LYvIHXtHv4aew98jH8qa5GuUuP6gAH4w5TXEOAvWfBQtJDsYXx8zl0qQLeh6Hp5eXmjVH2dtU40D1G94W/5v4mu7iCPIDHh5+lRT2N0xGhoFM2nvpCliDNakkzuNIYKoDQHKD0F2E4BtacAQyqglwzQHWo5bH7xSNdrUawZjMqIFFSrQlGhDEGFMhQ18EadjTo17fWbJOjNNoc4X2e2w2wwi8voOrqsWu8FT40K2WmljUQb+99d3lADD6VuGzd0tFzbR2Kw6cx3gjp0GzZvDIjya2bW3DDN25qNC3f0Mkw3EIpUi/Xll1+e21PtMuFh7zdhp+UhZw8dpeYqUac4BZ1qNwyqQ3DIzNBYkxFkWQAvyzDI4Qmae1GCc8/8vRCsqIRMuQk69R5UKmvgb3PgOp0Oc3V6eNiicUw1Gp94DsQJZQr0ch8x5APk8FJLJ6rb8T85UGVSw2GzQGayiXQd1ch5KuUiQuQhZv7aUSPLRIntOPLNx1BkzhL3C9NEob/PeAwKGIKhgQPhp/ES86GdHDlyBCdPZuGpO28AKrKAI19LjSmVWYBvNDDqbmDwzVDQiLompFem452D7+DXvF/RJ6APPpj+ASZETWh7ZIFsc/Z+iqLjy/GmrwZrvLQY7NMHX076ZzPT7cpKKTXblskkcrlcRBUrKipQa6oVzTkUNdxxZoeoUaUyhGuSrhH1hgODB7ZszaMvl8Rgoy0V0BVL11MzSWCCNL5v6EIp0h3SB7KgZChVHti5dKmIBk+aMAlBABJwfpBAXr58OW655Rb07t27R/vfXQ7TOtxP6Ghc2+cUglRj2/Rlo/dv0+aN5FDvRqldp+gTNi6eKreNWgzDXMZC8YMPPkBP4pv7x4rUK9Udkgk1dQuXGEsQ7xuP+Yn3i7rDKO+ObfJwi8MBQ+kJbDi6DCsKd2C3tQoqBzDVaMR8eyjGxUyBimolKZXs6Y9kANd2yH/rwMaNG3H8eAaumT/MdVm+IR8HK/cLH8GjlUdRZ6+Dr8oXQwKG4KaA+RgaMBTBHq1Y2jgc0JjKMdh6EPj3LCB3J0ANLCnXSJM74ia4nfd7RncG7x96X9SAUr3nqxNfFSn+NplJW01Sd/TeT2DO243/hkbh48hgaNW+eGXkE6Lz293foehgW4Qi+Stm6bJw2u809hTvwccbPoZnL08xXvCBwQ+ITmUSis0m8jQVg7TXl0rXU1dzYKIkCIffKe1JFNLIQ5p00gJqtRpms2RldCGUlZWJfURE13h6Mm1DRNZoWkcLli1SBNCECoM0vYPq/cj2pSmeKmlah3OLCdBicLR/s1pepwAkSx5O8zJMz4R7+VvgixNfYFXeKpyuPO2qO5yfOB/9g/p37gcm/ZSvyIQtawt2Z6zGz9UnsEkFGOVyjLAr8ZL/EMzofT18aCTaOWb/Xig0LqvCWIEtxVuEMKRGlFJTKZQyJVL8UnBT3E0YGjgUCd4JLQo2makGmrLjUJcdlfalxxBnLIWdaibV04HrP5U6rdWSF2BTKusqseToEmHATd3ifx71Z9zQ+4az85JbozIH2L8UOPAZYCjDll4j8VrfoThjrsat/W7Fg4MfbLXLmsQSCS93E3qKjEViPQ6UHxBzsGuttVDL1FBalFg0aBHum3cfgj2CJOFXchI4tb6xMDRIIlQYcpP4IyE48p6zgpBEolKN9tLWutJzQc+dXv+2pN2Z84dqUSmal19mgLG0vqav3qy5cV3f2Xo/s615fR8JOeqeD6wXeX3DfBDoHeTexsVLA08113syDNM2WCi2wEdHPsKEuAl4ZOgjGB81vvP8DuuFodRVvR2peduwQm7Aai8vlCoViNf64p7ICZg7+G5EBfVFV0DzlWliy1dnvsKx8GOippFmPY8LGScihgP8B8BD4aYL1mqCujIVmtJjUJcdg6b0KFQ1OeIqu9oHpuD+0CdfjZM1WhwqV+OBhc+3+hhoQguZcNMc5XsH3Ys7Uu5wmUu3OtuZ5inv/QRIWwdofJE74Gq8pqjFltL9GBM4BotHPYME/4Q2ja2kdDL9MKix1OBI5REhDmkrqiuCHHIk+yRjTuQcDPPpjdiyamzc+jmGnN6D4C+3SILQWN9ZrFAL03UhBKkpKrRvvSBMANoietsIdWBTbWVHCMXo6OgOeUw9CbLlaVjb5+zsbRj5c+7pMrpt0/I+qtJoKuzig7WN/Pucnb1k50I1fy1N62AYhrlQWCi2wMrrViLEJ6SThaHkxSg6p729sMI/CGkBSgQoI6QIZu/rOz+CWY/NbpMmtojO6U2iro5mPA+vGI5bx9yKPlFN6gUddiirs4UY1JRJwpBG+8nsVmnOM430ixqH6sH3wRQyAFbfOKA+6nhm/36YqqWZ0O4mkSxPW46PDn8k5j2TtyKJRPKAbBWq7Tv4GbDv38IwnCaGGOa9gSWOKiw79T8x4eWtKW/hitgr2ryeR8qOoMC7AOv2rUOGLkMI1mhtNEb59MUI35EYaTTAvyIDHhlfQKk/I+5TCwcsJRFAnwlA4vSzgjCglzTSrpOhiOKFCkW73S6E4oABA9DT07zUyd90QodU21ef2m2Y+m3Bp5O8+BpG9iL9PDAg0q9BbZ8KnnIbooKp2UOycemI+cgMwzAdAQvFFqAxaR0mDMszGglD6IpgkCuwMbIPVkRGYrdZDaVchSkxU/Bo4lUYFzWuSya2EC7vx6xVjbwfyZjb0+KJ9w6/B4VRAYW+uD5KeMyVRpZbpMYds18CzMH9oUu6GubgATAH9pYiaK0IEWr+aHSZw441WWuw+OBiFOgKRJr/oSEPtV4HSmubv1eKHh7/QbIAGnAdHNd/irWWMryx/02Rur574N24a8Bd8FR6uvkTDvFFX1BpREGVUeyzKkqxs/rfKNPsgMriiZjiAFxdF47phkqMsh6AFjvEfcvhh2OyeKRhBE7L45CKeBw0l0JpV2GsbjJi1VrEKbWIk2kRa69DTKBnp1u8dIRQpIYcMu2OiYnB5ZbmJV/HxqLP7KahQ6rto9PU/d0U6vxuOI4tiWbz9pKie2cbOs5G/7RqRas/Trijl2GYSxkWih2NEIbprlSyUxhSt6otcjB295mCFQoTNlaegNGqw/CAPngh4feYET+j48TpOaC5ymJiS733I0XrRATTOXPa4YCj5DhMqRtxi3w1ond+Ck9rlbivVRsKc/BAVA+6R4hCMmZ2tHPSTMMRfnSaOoPfOfAOTlacxJToKXh32rtIDqC2nBYw6YCj34ruZRQfBQLigWnPiy7g06YyvLrnVTEfeVrMNDw+/AkoHcE4mkdCsNwlCPPr92eqjI083bQBx6EJ/Q4q1OHFskpcr8+F3SFHHkKR7YjE147pyEIkshyRqIYvtJ6eYiayTLSXO+BTkQqNVlqPrWml+N8eo2tKCD3lcF8PMQ2CJoDEBXmdPR3oBT+tqkOE4oU2sxQXF4vO6cjIrjGJvxAbF1HP17Sj1xkBrK/1c9X4GczNDL3pNaGaPjEhp75xIzrav8XaPvLvYz9HhmF6EiwUO1QYOiOGxZKNSeRQYPBNSA1JxMq6AqzO3YiSih2ic/ruAXdjXuK8rumcrq/525i7ET9n/CzMuSliSV5+jw59FOMixkBVlgakbwU2/ENMopEZK6FRqOGjikG6ZgTChs8TUUOb14XbI1FEkTwHj5QewdsH3haibmjoUCybtUzMMW4R6gwmcXj4S8CsA3rPgnnaCygIHIu0snJ8tfEN7KtYBU9ZKGLNj2L/3gRM23C0kccbebtFB3giyt8TU3qHIqr+tJdWj6+Pv4TfKg5hkt6Av9SpoUy5F2le/VDnGw+HQgOyl6fN+QhJ5DpFL21kIXXDl6+K57bkf2+LPUWximvrkFNuEAbZORV6cfpUUS3WHi8WViROKOVIorGheIytP08Csy3pSGq8oYiiu6htWykqKhJekCQWu9rG5exkDlMTH7/mBs4N166lcYzBPhr0CfdxI/rqbVy0ap7WwTAM01OE4vz588WIwYY8/PDDuPPOOztWGJKoaigM9SUNhOEtQPxElIQkYHX+FhG1O334B9E5PavXLBG1GxA8oMvqDp0TW0gkumZOj3kBM7Qx8Ck4AGz/GMi5Q2q6oHRx9Ehg1H1wxI2Hzr8f9u/ci4yMDFwdN61jHpPDhjxbHrZqtuKD1R8gyT8J7017D5OiJ7ldE53BiOqDP0J7eCkCSnZDrwzAVt/5+M7rChzK9EXpYSNUfm9CHboGMpkFat1cRCqvRHSAL6KiPYUQjPb3PCsINY0PeYfNhp92/B0v7/sOKrsVb5g9MXPsnyEbeIPoOm5t9lDTlOFXX32FzMxMcR2dXrBggRB3EX6eYhuTQM6Gjak2WFziMbfCgJxy6fSBnEoU1tS5/Oyozi0mwLNxFFKISK9GKW2KKBIkFp2n2wMJTIoojhs3rt33bbo2VK9XXmtCflkNjHY9qupn9LZk3kzTfJpCaVunsKOmDRLOQ2P9G6V2XQbO3mox2YVtXBiGYTqOy0ooEg888ACuueYa1/mWxqm1TxiebiAMt58VhlHDgKELpJF+MaOlusPcjViZ+S127dwlbGQmx0zu/M7pJji9H2m0YKmxVEQw74mfh7k2NaLOHAV+eByoq6oXhqOAUfdLzyF6BKDyPPu8dToEBwfj4MGDFxSh0lv1OFhxEHvK92B/xX5UW6rhI/fB38f/HWPDZqCo2ow1x4oapYTryvMwvnolrnVsQJSsCrvtffE/+yM44jkRYR6+iPLX4orEfBzQ/Qdn6k5jStQsPD3qMUT7ttH3z2rCmX1L8PLxJdiutGO+wxNPjXoa/inXuvVxPBcUTXz55Zdd5+n0zTfffM5Z6JRuHqT1x6Bof7cRNlqP3Hoh6RST7lLaEZTSDtIiQGVDsSUCHkfLEeSrhZdaLkajeWsU8K4/rVXLIW/hhwp5R1Lqulevxr6PlLKtqk/zNuzebTyiTRrfRpFAusxia262TVHThmndlAjfRhM6nALQKf5am9bBMAzDdD6XnVDUarVC3Fww+5cBBTvqI4alkgEyRQwbCENofKSoXdFurNzzT2zI3SCidsNCh+H5Mc9jZvzMLqs7pM5pMgUXEUzyflT5YLZXPOZbfNE/9SBkh7cANCouZhQw5kEgbnxjYdgCtJYkgihy1prxtN3hgN5sR63Jhpo6G7Jr83C0Zj9OGw6gyHIaDtigdUTCxzYasrJYGPQx+HOGBkbLZtff8FQB87zTcD/WYahxF2wKDQpir8LxQXcgNmEo3vLxEGnCcmO5qGn8If0H9A3si39OOUfKuiF1NbDv+ze+Ovwx3tbK4KvU4P1BD2PS0HtxIXz77bc4eZJmI0qcPn3aFVU8X0gkJYV6i60plNIuqqlPaVfo66ORBqQXVSHLGorD+ypgc1S4/bskEbX1opGEpHf9ns7X1VaiwtYLZ34rQaW+wGXvUuVmWge9FsKY2Sn8vNVIDPFuYNYsNXh4yKyIDvFnGxeGYZhuyGUnFJctW4ZPP/1UjBqcNWsWbr311lZrrSh60rD432Qyib19/Yso9UtGcdhVKA4ciTL/IbAq6z38yoCSggM4Xr0Jx2t/hc5agQBVJEb4XYf+vlPhrw6HqQJYUUEeevU+ep2A2V6H07U7caxmI3IMh6GADGOsnniwUofJulzI5Wko9R+Mo9G3SM/BbyDszrnCNBGumIYOtpw6dK5FqjUEn+8vhsLTIISgzmSTBKHrtB06kwlybTaU3ieh9DkFubocDrsSNkMilHVXwdvaH37KEPho5DDaKhDhZcOMsckiJRzraUZ8/o/wOvoZZOXpcISmAFP/H+SDbkS85myjjNVuxf9OfIV/HfqXSC8+N/o5/C75d1DIFeceFVdbBOz+EFkH/4OX/Dxw0FuNG2OvxB/HvShMt89n1JyzRpG28PBwfPbZZ42up2aQzhphJ6KIfh5iG5MQ2CgiSFOUZsyYgYDgMOjMNiHgnXu9ifY26Oi087L68+UGC85UWKBS+sNotiHS3wMDo3yFwGtY1ydF/zQizXuuusmz6Xm1eM14pJ/7NXJuTMvHEa9R6/AanRteo8a09TPnshKKN910E/r27Qs/Pz8cPnwY77//vvCDe+yxx1q8z9KlS7FkyRLXeRKVs2fPxri6d1BT5yUJKkEmoKiB0u8QlL4HIfcohMOqhbV2MGzVQ1FQF4MCyLCWVKTYOgs7lNo0BPptQ51PBqxyO4YYLbhTV4NJegvSbUnYZZ+GT+z9cNiRCLNRDbjKNtPO7390xOJQugm+nnb4UARKoxCCL8DLBIPqBCpwDMW247CgDj6KAKR4D8NQ/+EYHjgQAR7aZmnOw4dpfWSYHVkE1aFlUJ36SRhlW3vPgeWK12CLGiUpIepVsNCwbWB/6X68dfgtZNdk4+peV+O+lPvgr/GH0WBs9bHLKjKg3vchZCe+wzI/X/wrzB+h2jC8P/wvGBoyFDADOmqMOV+fPaP0/w8fPlxsTSGR1JXQYwoMDBRRYAVs8FMDfmpKpZ87nU4/mDZvPo6xY8eee76zzQSDwdSuNeLaQV6j84WPI16jjoCPo8Y4g0HdXiguXrxYRAlbY/ny5YiPj8fChQtdlyUnJ4spFf/4xz9EQwuNYnPHokWLGqUHaeHee+897HzxKmkcmsWAzXmbhdfgrqJdUMgUmBw9GfMT/owJURPaNkruQrHbcDp9NVac+hq/VJ1ACawINlswr9aEuX59ENV3qpQOjxqOYKUGYzrgv2zYqEGRMjo/efJkYTy9t3wX9lXsw8Ha05DZZOjt0xs3Bf0OI4NGopdXr5YFgd0KdWUaogtWIslwAF7HcuDwiwYmPQkMvQ1K79BmB2SRvghv7nsTa3PWYkjIEHw590th4XNOyF9x+zvAqVU45ReGF5P6I9VSidtTbsdDgx+Ch9KjQ9aIcDazXCqlF+SDSOKMjv/2kJeXJ+5L7x16Th3BpbhGlxq8RrxGfBzxe+1i0NbviEteKJL4o27m1iArD3fQZAmKrJw5c0YISXeQgGwoIp0LR5Yta/LXiFF2zrrDv4z5C2bGzYSfxg+dCo2hKzqC0vR1WJ2zHitMZ5CqUiDAZscshT/mR4zHgN5XQ0Y1hsr2d7a2FfpiJyPsmoAa/Fr4K5buWooKcwW0Ci2GBQ7D3Ki5GBE4An5q9+shsxikyS0lB6EpPghNyWHIrQaEQYFir77AdV9BljwTkDdvWDDZTFh2fBk+OfoJtEot/jHhH5iXMK91sUGihMb2kUDM2Q5TUBI+GnUDlpbtRS+vQHwx7j3Rcd6ROK1xLhURRM0zdDzTD572Pqbc3FxERES0Wot6OazRpQivEa8RH0f8Xutq2vqZfMkLxYCAALGdD9RQQJ26lIprL3/Y/AdE+kVi0YBFQqDE+HTilAqbVQhDapwxZG/FptL9WKGRY5enB5QyOSb7JeDhhHkYP/A2qNQX2MXdRqgh5vtT32ND/gaUGEvgrfDG1KCpGBs6Fil+KVBSc08T5IYyeLhE4UGoy09B5rDBpvaFKWwIqgffC1PYUKw+VAhv/2Dc2Ge22//7t7zfhGk2RRMX9FuABwY/IOoIW8RmAY4uB3a8C5ScEBY/h+b8Ay8UrEVe+T7cN/h+3DPgnq6J/l4CeHp6tjml4IQmsRQUFGDSpEmd9rgYhmGY7sclLxTbypEjR3Ds2DGMGDFCpN+OHj2Kt956S9Qbnk+EZMnMJRgeObxzoiANhCFtttyd2CMzYaWvH9Z7ecIY4IVhfsl4vu+NmJkwp8s6p0sNpWJiC5lyk1D0V/uLiS0TAidg05ebMHvgbIQHhEs3djjErGePkgOSMCw+CFWtNL/Z4h0lBKEu+Tqxt/gnuOY8E1asdWsbk1OTg9f2vIatBVsxNmIs3p/+PhLovq1NaDmwDNj5AVCTDyRfCcOVr2Bx+R58cfIjET38dt63SApIQk+Cjv/2CkUSiSQWU1LakNZnGIZhegyXjVCkdNu6devw8ccfC7Nh6jiljufztScZGDyw40SiEIaHzxp05+wEzLVI8/TBivBeWBUTiRKbAXE+sbg78SrMTZiLaJ9odOXEFvJd3FV41vvx4SEPY4jfEPj7+osaqu2KX2HL3gnf0qr6iOEhKExVcMjkMAf2gTF6IqrChsIUOuSc01uaejLSY/j4yMf474n/IsQzBG9PeRvTYqe1vP66UtHBLGY8UyMKmWOP+wN22qrx151/FfY5j494HAv7LRQd0T2N8xGKWVlZCA0NRVBQc1NwhmEYpudy2QhF6nb+z3/+g0sCEoaFJAy3ilo5pzCESouy6OFYNXAGVpqLcUqXB38NMCv+KsxPnN+x4rS1h+f0fsxY2aL3o8NSB2P6NuDgfshztuFJ204oT1pgV3rCFDIItf1uhilsGEwhA+FQeZ3XCD8SoGuy1+CNfW+g2lSNewbeg7sG3NVyo0lFJrBjMXDof5Lh+fA7gbEPocbTF2/sfUP4Ko4KH4UlM5YgxrcTSwW6gVCsra1t8+3ph1V+fj6nnRmGYZjLVyheMsKQIoa5u1zCELFjYBz/CDZpPbGi8hh2Fu2GouoMpsRMwYMjn8DEqIldVjtH6WQShzSxheoO43zjxMxpEcH0DAEK9gM7P5SeR94eaK11cGh8hTl3euzN2F/mgQm/e1AyH78AxJg4ezHuWnsX9hXvw/TY6Xhy5JMtz70+cxDY9jZw8mfAMxCY9AQw8h7AMwCbcjfh72v/LsTui2NfxPXJ1/f4pgkSinV1de1qYqG0MzV/MQzDMExDWCieD9Q80UwY6gCKrMWOASY+BlvceOyVW7Ai+xdsyPkeBquhazunm9Qdkr1PamWq8B6cFT8L8+NnYaDRCBlFPL97QLKTsdYBHn7S1JZpz0MfOhzaXiMBhRLWY8eQ/t13GGG2wsPj/A4bi92Co1VHsVm9GWnVaYhzxOGjKz7CuKhx7juYMzYB298GsrYAAb2AOW8AQ24V02QovfzP357A2uy1wq6I1jXcq75+sofTXqFI86ljYmLOu2mMYRiGuXxhodhWYXjm0NlUcjNh+DgQPxGIHIK0mmwxRm/V7mfFWL1Yn1jcOeDOzu+cbgDV/G3K2ySihzsLdwrvxylRE/FQ5FRMrK2C6tROYMO7DYThBGD6i5IXY1h/ya7G4YCdzKLra/yio6WaydLSUiEq2kqdrQ4HKg5gZ9lO7CnbA71ND2+lN+b6zMXLV73cPJpK0dkTP0oCsegoEDEEuOE/QL+rxGOhdPWqzJWi6UUGGV6b+JpouGHrFTSab041im2Zz20wGIR91Ny5c9tziDEMwzA9BBaKLZG/Hziz62zE0KIHyKKFhCGlPkkYRgwGFCqUGcvEnOWVh17HyYqTIlooonaJ8zEoeFCX1R3uKdojmlI25GyQIpi+ifhLwAjMLD8Dv+1fimka8PCXIoZNheE5oGk3ZJpcUlJyTqGos+iwp3yPEIckEk12E+K84nBV9FUYGzwW+9fux9C4oY1FolkPHPwc2PkeUJULJE4H7lghrXP9+pFdzt92/Q1b8rdgdvxs/Hn0nxHo0X7ro54gFAmKKlJ0sTXS09NFvWj//v276NExDMMw3QkWii3x2dXUSg3EjgUmP9VAGEpLRjVxm3PW4+fMn7HrzC7IZXJRd0ief11Zd5hWmSZFMDOkusNYpTfuNKswr7AMMVm5kjAkQTjjr9I+lIThuce5NYXELglEEoruqDBVYFfZLiEOj1Qdgc1hQx+fPrgl/hYhDqO0Z+sP99n3nbXH0ZcDez6WtrpqYMB1wE1fABGDXLcn0+/lp5fjrf1vwUvphXenvoupsVPPZ7l6BG0VihSdTUtLE5Y4Hh4XPqmGYRiGufxgodgSt68A4ka4hKFTsOwt3C3q/ahbWG/RY2joUDw7+llcGX9ll9UdUgRzVdqPWHn6O5zS58PPIccsXS3m19ZikNwLMlFjuLBeGKaclzB0R2xsrDAxp8YHmoldZCzCjrId2Fm6E6dqTolU8ED/gbg36V6MCR6DYE2w279D03K05jJg9ZPAgc+kC4fdDoz9PRAQ1+i2uTW5eHHHi6LphRpVHhvxWJf5Sl4OQrE1CgsLRXe0uxnVDMMwDEOwUGyJqKEukZhemS5F7TJXodhQLGoN70i5Q6o77CIbFqOxEpsOf4oVOeuw01gIBRyYYjDiQbMME8NGQtV3cocLw6bExcWhQl6BpaeW4ojxCLL0WVDJVGKc36N9HsWo4FHwVbUg4sigW1cAj8LduMb0HfrsTJeinRP+CIy8F/AKapZK/+zEZ3jv0HsI9gzGJzM/weiI0Z3yvC43nHOaad5za5w6dQohISHtqjllGIZhehYsFFuAumo3ZmwU0cOGdYckDgeHDO78ukOzAba8Xdib+gNWFO/BBuhgkMsx1GzDc9o4XNlrFvwSrwBC+nWaMGwUwcxcJXVOR6VCU6bBmNAxuCnuJgwPHA5Ppafb+yn0RfAo3AuPwj1iU+oLhUF3nSMUuSkPIu6a5wA3Iwkpnf7C9hdwvPy4GOH3yNBHoCWrIaZN0LxyMqBvTSjqdDrk5eWJyUXcCMQwDMO0BAvFFrjqx6tgU9iE9cr9g+/HpKhJnVt3aDYA+XtE80x69mas0GVipZcHSpRKxCjUuDNoDOal3IqYuKmdLgydNZjr8tZhXcE6MbGFOqdpLQbUDkCYPgxzUuY0u4/cWH5WGBbthaomR3pqgX1giJuOuohRMIYNw3++/B7zEuchrolItNgsWHJ0idjifOLw2ZzPhChnzi+q2JpQpGgiCcrBg3l9GYZhmJZhodgCNAJuTvKczqs7JGGYt9s11q+s8CBWa9VY6euLkyoF/AKCMStqIub1vw2DQ4d0Wef03uK9Ug1mfef00JCheG70c64azJ07d2Ljxo2iTlFtM0BTtK8+Yrgb6qoM8Xcsfr1QFzkGVcMfQV34SNg9AhrVJxJU49iQY2XH8Pz255FdnY27B96N+wbdB7VC3enP+XIWimR909IkFmpiGTZsmIg8MgzDMExLsFBsgeuSr4NGo0GHQfYvQhhul8RhwX4YHVZsDgjBioBQ7IwJh0wmlyKYSVd1fgTTXec0TWxxej/2vxNTw6eiT1ifsyK1rhp95dlwWDch7Kcf4FWTARkcsHhHiWhh9aB7YIoYCZs2tMX/yykUnV3PFLl8/+D7+OzkZ+gb2BdfzfsKfQL7dMnzvpzx8fFBeXl5i5Y4ZrMZo0dzzSfDMAzTOiwUOwuXMJQihmI8nt0KuzYYe2MGY8Wgadigy4beZsSQoAQ8mzi/yzunhfdj5kq3NZiErqwAOL3m7HMoOoIAhx0DZT6okA9A3YTbRcTQ5tPC6D03kAm0M6K4t2iv6GgmcfrosEdxe8rtUF7geEBGgtLKTlHedP2PHz8ufBP9/f15uRiGYZhW4W/ljsKkaywMzxwQwhDaYNGNnDH1SayAHiuLdqLYkIYYTQzuGLCoazunrUYxG5mih07vx0Y1mCRuc3cCB7+FI3srvAuPiIghfKOkjuqRd4v9uk0HUFhUhPnJ89v9GEi8WGQWLMlegnXF68RYww+mf4B4v/hOec49FYoCV1RU4Oeff262/tTIMn78+Iv22BiGYZjuAwvFCxKGuxoIw4OSMPQKkUTV4JtQFjEQv1SnYgVF7TK/EP5/zoktXdI57fR+LJLqDtfnrBd1h0NChkjej2Gj4Vd0HDi5Cfjlr0DhEfKxcQnDuoG3waPvFZAFxLumoxBJybU4dvy4aJbw9HTf8ezO3Dlbn40NeRuwNmotZGUyUft4Y58bhWBlOpZJkyadNTV3M2UnPJznYjMMwzDnhoViWzHVArm7gRxnKvkA4LABXqH1wvBmMb2lzj8Wm/N/xc8ZP2PnyfeEGKRo3f2D7sfE6Ild1qDhzvvxzj43YZ4yBDFFJ4HNi4Gi++qFYTTQa6LkZ0jPhYQhACvNeiZPviaCNjExUexpRrDzdEvk6fOwtXQrtpZsRZ4hD14KL0QYI/CX8X/BqL6jOnEFejaUVub5zQzDMMyFwkKxVWG4FcjeejZi2EgY3iKN9QtOhh0O7CvahxWnPxdRO5rYQhHDZ0Y9I+oO/clYuovqDn/J+sXl/eir8sGsgBTM1yRh8JmjkB15WRKGfjHScxh9v7T3j2smBskgu7WO2oiICOTn57sVijSxhYThlpItwpTbU+EpxvjdlXgXEhWJ+PnHnxHq0dZPd2QAABraSURBVHLDC8MwDMMwlwYsFFvi/wYADiPgHSaJqaELJGEYlOQSVRlVGVhx4B2sylqFIn0Ror2jRUMG1R3G+sZ2yQsoZk7nbhbRw51ndoIe2WR1MO43aTEx6wTUOF4vDCcCox+qjxg2HpN3PiQnJ2P37t2iOUIul6OsrswVOTxdexoauQajgkbh1vhbhSm3M5JaU1PTAc+aYRiGYZiugIViS8z8O5A8uZEwdE5sEVG7zBU4UX4CPmofV90h1f51Vd2hFMFcjvW5m6C3mzDYpsCzlaW4Um+An69NEoYj/9BhwrApvXv3xrpt6/DZsc9wxHQEqfpUMc5vsO9gPBz/MIb6DoWHwkPc1qgzgv4R1EjBMAzDMEz3gIViSwy7Daj3Uayz1mFz3maR0t1xZoer7vDegfdiUvSkLqs7zCg6gBVH/o1VxbtRZK9DtMWC23UGzJP7ITZ2HDBsAhA3vlOEobsI5vaY7UA5EGYMw0j9SEQaIqFyqFCEIvyCX1r8GxSB1Gp5JB/DMAzDXOqwUGxjt7DOosOgkEH486g/iwhil9Qd6stRnr4Wv6T9iBU1qTihsMPXZsMsqwLzAwdjcOIcyHpRjWFs10QwM1e4ajApevrogEcxyn8UfFW+7fp7JBJDQkI67fEyDMMwDNMxsFBsget+ug75dfmI8o7CwpSFou4wzrfzInUCfTmQsx11Wb9hc/4WrLBXYoenB2SQYZJHEO6NmoJJA26HOigBXUFWTRY2nd7kqsGkzuk7Uu7oUu9HhmEYhmEuHiwUW2BM5BjM7z0fQ0OHdl7dob5MCEPqqrZnb8X+mkys8PbCem9v6DyAwdokPJN0Da7sd3OXdU43rcG8GN6PDMMwDMNcGrBQbAFKMXforGenMHQadJNALDmBTJUSK4KjsMpbjUKvMERpw7Ew+ZquiWDW01IN5m1Jt2FG0gxolB28DgzDMAzDdAtYKHYmulJXxFBspSfFxeVBvbAmrBdWhPjguKEQPmrvi9I5vb94f6MazIbejzT7mTqUu6pRh2EYhmGYSw8Wih0uDLc1EIanpMsDE1EXNxa/DrgSK4z52F6yHzJTNiZGTcTdo54U85a7SpBlVmW6JrYU6guF9+NtKbc1836kkXsMwzAMw/RsWCheCLqSxqlkpzAk78W48bBPeBz7fXyxsmgn1mWvg67qInRO19cdrsleI6KHx8uPXxTvR4ZhGIZhuh/dRih++umn2L59O1JTU6FSqfDrr782u01RURH++c9/Yt++fcKCZd68efj9738PpVLZ8cKQtrLUs8KQjK0nPSkEYqbDiJUZK7Eq7VOc0Z8RndML+i0Qwqwr6w5/zf9ViMPtBdtddYf3DLynS70fGYZhGIbpvnQboWi1WjF9+nQMHDgQP/30U7PrbTYbHn30UQQFBeHf//43ysrK8OKLLwqRSGLxvKgtbpxKLjstXR6ULAnDyU9Je59wVNRViG7hlVsew7HyYyJqR7V+8xM6uXPaTd3hysyVUgTzYng/MgzDMAxz2dBthOL9998v9itWrHB7/a5du5CVlYUPPvhAiMU+ffrggQcewOLFi3HfffeJKGS7+GgKUHFCOh3cu14YPu0ShoTJZhLdwiv3rBRRO2JC9AS8OeBNTI6ZDI2ia7qFM6szpQhm5ipXBLPLvB8ZhmEYhrls6TZC8VwcPXoUSUlJQiQ6GTt2LF599VVkZGSgb9++bu9nNpvF5sRkMom9I3YMHFOfAOLHA95hjaJ2B4r2CmG2LkeK2g0MHoinRj4lIogBHgFd0hBCEcw1WWtE9NAVwYy7UojDhhHM830MdD/nxvAanS98HPEadQR8HPEa8XHU8bT1+/2yEYrl5eUIDAxsdJlTNNJ1LbF06VIsWbLEdZ5S1bNnz4ZuwnOwOH0UdTrk1OZgTe4arM1biyJDESK0Efhdwu8wK3YWYn3qu4WtdFMdOguKYG4r3CYex67iXeKyseFj8croVzAufJwrgqnX6zvkADIajeI0N7vwGvFx1Hnwe43XiI+jroHfa41xBsYuaaFIaeFly5a1epvly5cjPj6+0x7DokWLsGDBgkYL995778Hb2xsGh0HqFs5cgWNlx+Cj8sHM+JmuqJ1cJkdnIyKYJQeaRTCfHvl0swhmZ/zSoHVgochrxMdR58HvNV4jPo66Bn6vNaatJXkXVSguXLgQ8+fPb/U2UVFRbfpbFD08fvx4o8uckcSG6eimqNVqsTVduKd+ewpbi7eerTuc3LV1h1nVWaJjuWHdIXVOk0iN9+s84dwQEojOjeE14uOI32sXE/484jXi46hjaet3+0UVigEBAWLrCKgbmrqdKyoqXCno3bt3w8vLCwkJCe3+exWmCjw58knM6jULgR6NU9qdRWVdpdQ5nbkSR8uOuiKYZKvTVRFMhmEYhmGYblejSB6J1dXVYm+324WfIhETEyM8E8eMGYNevXrhhRdewB/+8AcRTfzXv/6FG2+8sVHEsK18euWnHT/ruYW6w1/zfhWp5W0F2y5aBJNhGIZhGKbbCsUPP/wQK1eudJ131hXS5SNGjIBCocDbb78tDLep7tDT01MYbjttdS4lqO7wYMlBkVomv8NaS62oO+zqCCbDMAzDMMxlIRRfeuklsbVGREQE3n33XVyqZFdnu+YsF+gKEOkViVv63SLqDnv59brYD49hGIZhGKZ7CsXuCtUdUuc0pZaPlB1p1Dk9LGwY1x0yDMMwDHPJwkKxk+oOf8v7TUQPt+XX1x1GTcAbk9/AlJgpXHfIMAzDMEy3gIViB/ozibrDzBVYm70WteZaDAgagCdGPoHZvWZz3SHDMAzDMN0OFooXSE5NjmhKIUsbZ93hzX1uxrzEeUjwa78tD8MwDMMwzKUCC8XzoKquyjWx5UjpEXirvF11h8PDhnPdIcMwDMMwlwUsFNuI2WbGb/m/iejh1oKtItVMdYevT34dU6KnwEPp0bmvFMMwDMMwTBfDQrEVSAweKj0kxCFFEKnusH9Qfzwx4gnMip+FIM+WRwMyDMMwDMN0d1gotsDHRz7G6tzVyNflI8IrgusOGYZhGIbpcbBQbIGvT32NaQnT8HLiy1x3yDAMwzBMj4SFYgusum4V/Lz8uvbVYBiGYRiGuYSQX+wHcKnCzSkMwzAMw/R0WCgyDMMwDMMwbmGhyDAMwzAMw7iFhSLDMAzDMAzjFhaKDMMwDMMwjFtYKDIMwzAMwzBuYaHIMAzDMAzDuIWFIsMwDMMwDOMWFooMwzAMwzCMW1goMgzDMAzDMG5hocgwDMMwDMO4hYUiwzAMwzAM4xYWigzDMAzDMIxbWCgyDMMwDMMwbmGhyDAMwzAMw7hFiW7Cp59+iu3btyM1NRUqlQq//vprs9uMGDGi2WWvvPIKrrzyyi56lAzDMAzDMJcP3UYoWq1WTJ8+HQMHDsRPP/3U4u1efPFFjB071nXex8enix4hwzAMwzDM5UW3EYr333+/2K9YsaLV25EwDA4O7qJHxTAMwzAMc/nSbYRiW3nttdfwt7/9DVFRUbj++utx1VVXQSaTtXh7s9ksNicmk0nsHQ6H2Hoqzuffk9fgXPAa8RrxccTvtUsF/jziNWovbf1+v6yE4gMPPCDqFD08PLBr1y4hGo1GI26++eYW77N06VIsWbLEdV6pVGL27NnQ6XSwWCzoyQcQrR3RmtDuyfAa8RrxccTvtUsF/jziNWovzsDYJS0UFy9ejGXLlrV6m+XLlyM+Pr5Nf++ee+5xne7bty/q6urw2WeftSoUFy1ahAULFjRauPfeew/e3t7QaDTo6b80aB1YKPIa8XHE77WLCX8e8RrxcdTxUGPwJS8UFy5ciPnz57d6G0ohny8DBgzAJ598IlLLarXa7W3o8obXOReOxFFPF0jONejp69AavEa8Rnwc8XvtUoE/j3iN2kNbv9svqlAMCAgQW2dBVjq+vr4tikSGYRiGYRjmMqhRLCoqQnV1tdjb7XYhAomYmBhotVps2bIFFRUVIopIKePdu3eL+sPbbrvtYj90hmEYhmGYbkm3EYoffvghVq5c6TrvrCuky6mBhZpQvvnmG7z11luinoUE5J/+9Cdce+21F/FRMwzDMAzDdF+6jVB86aWXxNYS48aNExvDMAzDMAzTMfCsZ4ZhGIZhGMYtLBQZhmEYhmEYt7BQZBiGYRiGYdzCQpFhGIZhGIZxCwtFhmEYhmEYxi0sFBmGYRiGYRi3sFBkGIZhGIZh3MJCkWEYhmEYhnELC0WGYRiGYRjGLSwUGYZhGIZhGLewUGQYhmEYhmHcwkKRYRiGYRiGcQsLRYZhGIZhGMYtLBQZhmEYhmEYt7BQZBiGYRiGYdzCQpFhGIZhGIZxCwtFhmEYhmEYxi0sFBmGYRiGYRi3sFBkGIZhGIZh3MJCkWEYhmEYhnELC0WGYRiGYRjGLSwUGYZhGIZhGLewUGQYhmEYhmHcwkKRYRiGYRiGcQsLRYZhGIZhGMYtLBQZhmEYhmEYtyjRDThz5gw++eQT7Nu3D+Xl5QgODsacOXNw1113QaVSuW6XlpaG1157DSdOnEBAQABuvPFG3HHHHRf1sTMMwzAMw3RXuoVQzM7OhsPhwLPPPovo6GhkZGTglVdegdFoxB//+EdxG51Oh4cffhijRo3CM888g/T0dLz88svw8fHBddddd7GfAsMwDMMwTLejWwjFcePGic0JicWcnBx89913LqG4Zs0aWCwWvPDCCyLKmJiYiNOnT+OLL75gocgwDMMwDHO5CkV3UATR19fXdf7IkSMYOnRoo1T02LFjsWzZMtTU1DS6bUPMZrPYnJhMJrGnCCZtPRXn8+/Ja3AueI14jfg44vfapQJ/HvEatZe2fr93S6GYl5eHr7/+2hVNJKh2MTIystHtAgMDXde1JBSXLl2KJUuWuM4rlUrMnj1bCFGKUPbkA4hS+4RMJrvYD+eShNeI14iPI36vXSrw5xGvUXtxBsYuaaG4ePFiEfFrjeXLlyM+Pt51vqSkBI888giuuOIKXHvttRf8GBYtWoQFCxY0Wrj33nsP3t7e0Gg06Om/NGgdWCjyGvFxxO+1iwl/HvEa8XHU8TTMwF6yQnHhwoWYP39+q7eJiopynS4tLcUDDzyAQYMG4bnnnmt0u6CgIFRUVDS6zHmermsJtVottqYLR+Kopwsk5xr09HVoDV4jXiM+jvi9dqnAn0e8Ru2hrd/tF1UokoUNbW2BIokkEvv27YsXX3wRcnljC0gSjx988AGsVqtIHxO7d+9GXFxci2lnhmEYhmEYppsbbpNIvP/++xEeHi7qEisrK1FWViY2J7NmzRLRQLLEIfucdevW4csvv2yUVmYYhmEYhmHaTrdoZqHIIDWw0EZG2w0hE25nLR3VFpLh9m233QZ/f3/cc889bI3DMAzDMAxzOQtFqmM8Vy0jkZycLCa4MAzDMAzDMD1EKF6M7rq2to1fzutAa0DpfG5m4TXi44jfa/x5dGnDn9m8Ru2loW90a7BQbILTfPv//u//2r3oDMMwDMMw3U33eHh4tHi9zMGjNxpht9uF2TZZ5vTkSBqtwdy5c7Fq1SpR/8nwGvFxxO81/jy6dOHPbF6j9kLyj0Qifcc3dZJpCEcUm0CLxXY6EFNpyGqITMd7svF4a/Aa8RrxccTvtUsF/jziNTofWoskdit7HIZhGIZhGKbrYaHIMAzDMAzDuIWFIuMWqtG89957G403ZHiN2gsfR7xGHQEfR7xGfBxdPLiZhWEYhmEYhnELRxQZhmEYhmEYt7BQZBiGYRiGYdzCQpFhGIZhGIZxCwtFhmEYhmEYxi0sFJlmfPPNN5g/fz7GjRuHO+64A8eOHeuxq3TgwAH86U9/wqxZszBixAj8+uuvzZztP/zwQ1x55ZUYP348HnroIeTm5qInsXTpUtx+++2YNGkSZsyYgccffxzZ2dnNZoq+9tprmD59OiZOnIgnn3wS5eXl6CksX74cN998MyZPniy2RYsWYfv27a7re/r6uOM///mPeM+9+eabrst4nYCPPvpIrEvD7frrr+c1akJJSQmef/558Z6iz+abbroJJ06ccF3Pn91th4Ui04h169aJOddkjfP555+jd+/eeOSRR1BRUdEjV8poNCI5ORlPP/202+uXLVuGr776Cs8884z4YiOXe1ov57D1niKmb7jhBiEY33//fTHR5+GHHxZr5+Stt97Cli1b8Oqrr+Ljjz9GWVmZEEM9hdDQULEmn332Gf773/+KL3cS1BkZGeL6nr4+TTl+/Di+//578d5rCK+TREJCAtasWePaPv30U16jBtTU1ODuu++GUqnEO++8I4If9IO/4dQ1/uxuBzTrmWGc3H777Y5XX33Vdd5mszlmzZrlWLp0aY9fpOHDhzs2b97sWge73e6YOXOm47///a/rstraWsfYsWMda9as6bHrVVFRIdZq//79rjUZPXq0Y/369a7bZGVlidscOXLE0VOZOnWq44cffuD1aYJer3dce+21jl27djnuvfdexxtvvCEu5+NI4sMPP3Tccsstbo8pXiOJd99913H33Xe3+N7jz+72wRFFptGs0FOnTmH06NGNZl+PGjUKR44c4ZVqQkFBgUgP0vo4oeHqAwYMwNGjR3vseul0OrF3/no/efKkiDI2PK7i4+MRHh7eI48rm82GtWvXiojroEGDeH2aQCl4ShU2PF4IPo7OQuUtVA5z9dVX4y9/+QuKiop4jRpA0fl+/fqJTBCVw9x666344YcfXNfzZ3f7ULbz9sxlTFVVlfgSCwwMbHQ5nW9ac8bAVUMWFBTUbL16an2Z3W4XNWWDBw9GUlKSuIzWQqVSwcfHp0evU3p6uqhNNJvN8PT0xOuvvy5SiKdPn+b1qYcENP1YpfR8U/g4kqAfoi+99BLi4uJEicKSJUtwzz334Ouvv+Y1aiAEv/vuOyxYsEC856g28Y033hDvs3nz5vFndzthocgwTIdGg6ju7pNPPuFVbQJ9sf/vf/8TEdeNGzeKL3uqR2QkKCpGPzKozlWj0fCytABFW51QDScJRxI/69evFzXSjPSDNSUlBb///e/FcvTt21d8LpF4pLVi2gennhkX/v7+UCgUzRpX6HzTqBlzNpLYNCrWU9eLROK2bdtEF3hYWJjrcloLKmuora3t0etE0YyYmBiREqPGFmoU+/LLL3l96qFIIh0TCxcuFGln2qhRiprF6DRFoPk4ag5F6ulHSH5+Ph9L9QQHB6NXr16N1onOO1P0/NndPlgoMo2+yOiX1549exr9Mtu7d6+opWIaExUVJT5waH2cULSI7IQGDhzYY5aLbCZIJJJ10L/+9S+xLg0hYUTdhw2PKyploA/tnnxc0XuLhA+vj8TIkSOFKPziiy9cG0WFqBbPeZqPo+YYDAYhEkkc8bEkQaUvOTk5jdaJzkdERIjT/NndPjj1zDSCajooJUYfyv379xepMiq6J1/FnvohnJeX16j2JTU1FX5+fqIZ45ZbbhHWFBQpog8fEkohISGYMmUKegokEsmig9KGWq1W1E05G3soFUZ7Kron2yVaNy8vL1GfRyKxpwjq9957T/iS0jFDxxSt1/79+7F48WJen3rouHDWtTqh44cyHc7Le/pxRLz99tvCa5NET2lpqfBVpKZD8nLl95oENa/cdddd+Pe//y2aWchuiZpZnnvuOXG9TCbjz+52IKPW5/bcgbn8oaJo8nujlCqlx8jPjepgeiL79u3DAw880OxyqnMhQU1vH/qgpg8hSq0OGTJEdNpRKqinQJ6A7njxxRddPzDIV5K+4KhZgZo5xo4dK9aJoiA9gZdffllEnklE05c51ZaRSfmYMWPE9T19fVrivvvuQ58+fYTnJMHrBOHZevDgQVRXVyMgIEBEz6gWLzo6mteoAVu3bhU/0OiHfmRkpAiCXHvtta7r+bO77bBQZBiGYRiGYdzCNYoMwzAMwzCMW1goMgzDMAzDMG5hocgwDMMwDMO4hYUiwzAMwzAM4xYWigzDMAzDMIxbWCgyDMMwDMMwbmGhyDAMwzAMw7iFhSLDMEwnQYbjZEhOW9NZ111lGO/8/52m1QzDMO2BR/gxDMOcx3QeJ8OHDxfTeVqC7nvNNdeIiSxdDU3tcI5XpIkvDMMw7YWFIsMwTBvEVlO2bNmCf/7zn7jhhhtaXT+af32xRvGpVCrxf2s0GhaKDMOcF5x6ZhiGaYPYarhRGvmdd97BokWLcMUVV7Rr/VasWIEpU6aIWbTXXXcdxo8fj6eeegp1dXVYuXKlSFdPnToVr7/+Omw2m+t+dPknn3yCF154ARMnThTzxn/77TdUVlbiscceE5fdfPPNOHHiBL+eDMN0GCwUGYZh2gGJRKr3GzZsGB588MHzWjsShV999RX+8Y9/YPHixdi/fz+eeOIJbN++XQjQl19+Gd9//z02btzY6H5ffvmliHB+8cUXmDBhghCNL774IubMmYPPP/8c0dHR4rzD4eDXlGGYDoGFIsMwTBux2+147rnnoFAo8Pe//x0ymey81s5qteKZZ55B3759heCcPn06Dh06hOeffx4JCQkiOkgNKFQf2ZBx48bh+uuvR2xsLO655x7o9XqkpKSIqGZcXBzuuOMOZGVloby8nF9ThmE6BBaKDMMwbeT999/H0aNHRXOIl5fXea+bh4eHiP45CQoKQmRkpKhndBIYGCjSyg1JTk5udB8iKSmp0X2IpvdjGIY5X7iZhWEYpg2sXbtWpHfffvttEdG7EJRK5Tkvo2glRTBbuo0zmunusqb3YxiGOV84osgwDHMOUlNT8be//Q0PP/wwxo4dy+vFMEyPgSOKDMMwrVBVVSUaTcgvcfbs2SgrK2t0PdUrBgQE8BoyDHNZwkKRYRimFbZt24bCwkKxzZo1q9n1ERERwvKGYRjmckTmYB8FhmGYToG8D2+55RbceuutF3WFX3rpJWHrQ004DMMw7YFrFBmGYToR8kkkuxudTtfl63zw4EHxf//yyy9d/n8zDHN5wBFFhmGYToLS1eSZSERFRUEu79rf5mTsXVpaKk57enpetFGCDMN0X1goMgzDMAzDMG7h1DPDMAzDMAzjFhaKDMMwDMMwjFtYKDIMwzAMwzBuYaHIMAzDMAzDuIWFIsMwDMMwDOMWFooMwzAMwzCMW1goMgzDMAzDMG5hocgwDMMwDMO4hYUiwzAMwzAMA3f8fzn/b+cUCskMAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 1000x400 with 1 Axes>, <Axes: xlabel='Z [mm]', ylabel='Y [mm]'>)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def starting_lens():\n",
    "    lens = CookeTriplet()\n",
    "    rng = np.random.default_rng(3)\n",
    "    for k in range(1, 7):\n",
    "        geometry = lens.surfaces[k].geometry\n",
    "        geometry.radius = geometry.radius * (1 + 0.15 * rng.standard_normal())\n",
    "    return lens\n",
    "\n",
    "\n",
    "lens = starting_lens()\n",
    "lens.draw(num_rays=7)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae679cc9",
   "metadata": {},
   "source": [
    "## The default merit\n",
    "\n",
    "`add_default_merit` adds **one block** of per-ray residuals instead of one operand per\n",
    "number. With `rings=3, arms=6` it traces 18 rays for every field and wavelength; each\n",
    "ray carries a quadrature weight, so `sum(r**2)` estimates the weighted RMS spot size\n",
    "squared. `reference=\"centroid\"` measures spots from their centroid (and from the\n",
    "primary-wavelength centroid for other wavelengths, so lateral color counts).\n",
    "\n",
    "We keep an ordinary operand for the focal length: blocks and operands mix freely. We\n",
    "let all radii and the air and glass thicknesses vary, with a small lower bound on\n",
    "thickness."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d0597fc5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-01T15:44:26.259613Z",
     "iopub.status.busy": "2026-11-01T15:44:26.259431Z",
     "iopub.status.idle": "2026-11-01T15:44:26.342925Z",
     "shell.execute_reply": "2026-11-01T15:44:26.341786Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "╒════╤════════════════════════╤═══════════════════╕\n",
      "│    │   Merit Function Value │   Improvement (%) │\n",
      "╞════╪════════════════════════╪═══════════════════╡\n",
      "│  0 │                11059.7 │                 0 │\n",
      "╘════╧════════════════════════╧═══════════════════╛\n",
      "╒════╤════════════════╤══════════╤══════════════╤══════════════╤══════════╤═══════════════╤═════════╤═════════╤════════════════╕\n",
      "│    │ Operand Type   │   Target │ Min. Bound   │ Max. Bound   │   Weight │   Eff. Weight │   Value │   Delta │   Contrib. [%] │\n",
      "╞════╪════════════════╪══════════╪══════════════╪══════════════╪══════════╪═══════════════╪═════════╪═════════╪════════════════╡\n",
      "│  0 │ f2             │       50 │              │              │       10 │            10 │  60.513 │  10.513 │          99.93 │\n",
      "╘════╧════════════════╧══════════╧══════════════╧══════════════╧══════════╧═══════════════╧═════════╧═════════╧════════════════╛\n",
      "╒════╤═══════════════════╤════════╤═════════════╤══════════╤═══════════════╤════════╤══════════╤════════╤═══════════╤═════════╤════════════════╕\n",
      "│    │ Block             │ Kind   │ Reference   │   Fields │   Wavelengths │   Rays │   Weight │   Rows │   Dropped │   Merit │   Contrib. [%] │\n",
      "╞════╪═══════════════════╪════════╪═════════════╪══════════╪═══════════════╪════════╪══════════╪════════╪═══════════╪═════════╪════════════════╡\n",
      "│  0 │ DefaultMeritBlock │ spot   │ centroid    │        3 │             3 │    162 │        1 │    324 │         0 │ 8.06123 │           0.07 │\n",
      "╘════╧═══════════════════╧════════╧═════════════╧══════════╧═══════════════╧════════╧══════════╧════════╧═══════════╧═════════╧════════════════╛\n",
      "╒════╤═════════════════╤═══════════╤════════════╤══════════════╤══════════════╕\n",
      "│    │ Variable Type   │   Surface │      Value │   Min. Bound │ Max. Bound   │\n",
      "╞════╪═════════════════╪═══════════╪════════════╪══════════════╪══════════════╡\n",
      "│  0 │ radius          │         1 │   28.7528  │        nan   │              │\n",
      "│  1 │ radius          │         2 │ -268.712   │        nan   │              │\n",
      "│  2 │ radius          │         3 │  -23.6064  │        nan   │              │\n",
      "│  3 │ radius          │         4 │   18.5637  │        nan   │              │\n",
      "│  4 │ radius          │         5 │   74.2733  │        nan   │              │\n",
      "│  5 │ radius          │         6 │  -17.8004  │        nan   │              │\n",
      "│  6 │ thickness       │         1 │    3.25896 │          0.1 │              │\n",
      "│  7 │ thickness       │         2 │    6.00755 │          0.1 │              │\n",
      "│  8 │ thickness       │         3 │    0.99997 │          0.1 │              │\n",
      "│  9 │ thickness       │         4 │    4.75041 │          0.1 │              │\n",
      "│ 10 │ thickness       │         5 │    2.95208 │          0.1 │              │\n",
      "╘════╧═════════════════╧═══════════╧════════════╧══════════════╧══════════════╛\n"
     ]
    }
   ],
   "source": [
    "def make_problem(lens, constrained):\n",
    "    problem = OptimizationProblem()\n",
    "\n",
    "    problem.add_default_merit(lens, kind=\"spot\", rings=3, arms=6)\n",
    "    problem.add_operand(\"f2\", target=50.0, weight=10.0, input_data={\"optic\": lens})\n",
    "\n",
    "    num_surfaces = lens.surfaces.num_surfaces\n",
    "    for k in range(1, num_surfaces - 1):\n",
    "        problem.add_variable(lens, \"radius\", surface_number=k)\n",
    "    for k in range(1, num_surfaces - 2):\n",
    "        problem.add_variable(lens, \"thickness\", surface_number=k, min_val=0.1)\n",
    "\n",
    "    if constrained:\n",
    "        problem.add_physical_constraints(\n",
    "            lens,\n",
    "            min_center_glass=2.0,\n",
    "            min_edge_glass=1.0,\n",
    "            min_center_air=0.5,\n",
    "            max_center=15.0,\n",
    "        )\n",
    "    return problem\n",
    "\n",
    "\n",
    "free_lens = starting_lens()\n",
    "free_problem = make_problem(free_lens, constrained=False)\n",
    "free_problem.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "abe2dbfd",
   "metadata": {},
   "source": [
    "The first table is the operand (`f2`), the second the default-merit block: one summary\n",
    "row for 324 residuals (3 fields × 3 wavelengths × 18 rays × 2 coordinates).\n",
    "\n",
    "## Run 1: no constraints\n",
    "\n",
    "`minimize` with `method=\"dls\"` is the native damped least-squares optimizer. A\n",
    "`HistoryObserver` records the merit after every accepted step. Note that `minimize`\n",
    "changes the lens in place."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6feb4370",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-01T15:44:26.344424Z",
     "iopub.status.busy": "2026-11-01T15:44:26.344245Z",
     "iopub.status.idle": "2026-11-01T15:44:29.239142Z",
     "shell.execute_reply": "2026-11-01T15:44:29.238424Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "`ftol` termination condition is satisfied.\n",
      "merit 7.761e-04   residual evaluations 229\n"
     ]
    }
   ],
   "source": [
    "free_history = HistoryObserver()\n",
    "free_result = minimize(free_problem, \"dls\", observers=[free_history])\n",
    "\n",
    "print(free_result.stop_reason)\n",
    "print(f\"merit {free_problem.sum_squared():.3e}   residual evaluations {free_result.n_evals}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7e8ebb8b",
   "metadata": {},
   "source": [
    "Image quality is excellent, but look at the glass. The table lists the center and edge\n",
    "thickness of every gap between surfaces (gap *k* lies after surface *k*):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ebdb43ff",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-01T15:44:29.241193Z",
     "iopub.status.busy": "2026-11-01T15:44:29.240987Z",
     "iopub.status.idle": "2026-11-01T15:44:29.252318Z",
     "shell.execute_reply": "2026-11-01T15:44:29.251343Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " gap   center    edge\n",
      "  1     4.376   2.347\n",
      "  2     5.384   4.038\n",
      "  3     0.100   0.830   <-- not buildable\n",
      "  4     5.449   4.497\n",
      "  5     0.100  -1.614   <-- not buildable\n"
     ]
    }
   ],
   "source": [
    "def thickness(operand, lens, k):\n",
    "    return float(np.ravel(be.to_numpy(operand(lens, k)))[0])\n",
    "\n",
    "\n",
    "def thickness_table(lens):\n",
    "    print(\" gap   center    edge\")\n",
    "    for k in range(1, lens.surfaces.num_surfaces - 2):\n",
    "        center = thickness(LensOperand.center_thickness, lens, k)\n",
    "        edge = thickness(LensOperand.edge_thickness, lens, k)\n",
    "        flag = \"   <-- not buildable\" if edge < 0 or center < 0.5 else \"\"\n",
    "        print(f\"  {k}   {center:7.3f} {edge:7.3f}{flag}\")\n",
    "\n",
    "\n",
    "thickness_table(free_lens)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bfea0320",
   "metadata": {},
   "source": [
    "Some gaps have shrunk to the 0.1 mm bound and an edge thickness is negative: the\n",
    "surfaces cross each other at the rim. The optimizer exploited the freedom we gave it.\n",
    "\n",
    "## Run 2: physical constraints\n",
    "\n",
    "`add_physical_constraints` places limits on every gap between lens surfaces in one\n",
    "call. In the default `mode=\"constraint\"` they are **hard** constraints: they are not\n",
    "in the merit, and the optimizer must satisfy them. The gaps from the object and to the\n",
    "image are never limited. Let us build the same problem, with limits, from the same\n",
    "starting design."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b421611b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-01T15:44:29.254109Z",
     "iopub.status.busy": "2026-11-01T15:44:29.253835Z",
     "iopub.status.idle": "2026-11-01T15:44:29.308235Z",
     "shell.execute_reply": "2026-11-01T15:44:29.306789Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "╒════╤════════════════════════════╤════════════╤═══════════════╤════════════╤═════════════╤════════════╕\n",
      "│    │ Constraint                 │ Kind       │   Eff. Weight │   Residual │   Violation │ Feasible   │\n",
      "╞════╪════════════════════════════╪════════════╪═══════════════╪════════════╪═════════════╪════════════╡\n",
      "│  0 │ #0 center_thickness >= 2   │ inequality │             1 │    -1.259  │      0      │ True       │\n",
      "│  1 │ #1 center_thickness <= 15  │ inequality │             1 │   -11.74   │      0      │ True       │\n",
      "│  2 │ #2 edge_thickness >= 1     │ inequality │             1 │    -0.6939 │      0      │ True       │\n",
      "│  3 │ #3 center_thickness >= 0.5 │ inequality │             1 │    -5.508  │      0      │ True       │\n",
      "│  4 │ #4 center_thickness <= 15  │ inequality │             1 │    -8.992  │      0      │ True       │\n",
      "│  5 │ #5 center_thickness >= 2   │ inequality │             1 │     1      │      1      │ False      │\n",
      "│  6 │ #6 center_thickness <= 15  │ inequality │             1 │   -14      │      0      │ True       │\n",
      "│  7 │ #7 edge_thickness >= 1     │ inequality │             1 │    -0.9175 │      0      │ True       │\n",
      "│  8 │ #8 center_thickness >= 0.5 │ inequality │             1 │    -4.25   │      0      │ True       │\n",
      "│  9 │ #9 center_thickness <= 15  │ inequality │             1 │   -10.25   │      0      │ True       │\n",
      "│ 10 │ #10 center_thickness >= 2  │ inequality │             1 │    -0.9521 │      0      │ True       │\n",
      "│ 11 │ #11 center_thickness <= 15 │ inequality │             1 │   -12.05   │      0      │ True       │\n",
      "│ 12 │ #12 edge_thickness >= 1    │ inequality │             1 │     0.2103 │      0.2103 │ False      │\n",
      "╘════╧════════════════════════════╧════════════╧═══════════════╧════════════╧═════════════╧════════════╛\n"
     ]
    }
   ],
   "source": [
    "lens = starting_lens()\n",
    "problem = make_problem(lens, constrained=True)\n",
    "problem.constraint_info()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7a3a683c",
   "metadata": {},
   "source": [
    "Each limit is a row with its current residual and whether it is satisfied. The\n",
    "starting design violates some of them; the optimizer first restores feasibility."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "8be82489",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-01T15:44:29.311011Z",
     "iopub.status.busy": "2026-11-01T15:44:29.310706Z",
     "iopub.status.idle": "2026-11-01T15:44:30.698959Z",
     "shell.execute_reply": "2026-11-01T15:44:30.698301Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "`ftol` termination condition is satisfied.\n",
      "merit 1.398e-03   residual evaluations 135\n",
      "success: True   max violation: 3.3e-15\n",
      " gap   center    edge\n",
      "  1     3.770   1.890\n",
      "  2     5.991   4.671\n",
      "  3     2.000   2.891\n",
      "  4     4.273   3.474\n",
      "  5     3.138   1.000\n"
     ]
    }
   ],
   "source": [
    "history = HistoryObserver()\n",
    "result = minimize(problem, \"dls\", observers=[history])\n",
    "\n",
    "print(result.stop_reason)\n",
    "print(f\"merit {problem.sum_squared():.3e}   residual evaluations {result.n_evals}\")\n",
    "print(f\"success: {result.success}   max violation: {result.max_constraint_violation:.1e}\")\n",
    "thickness_table(lens)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a8f7dccc",
   "metadata": {},
   "source": [
    "Every gap now respects its limit. The price is a higher merit than run 1 (about twice\n",
    "as large here): the unconstrained result was only that good because it was not buildable. The result\n",
    "also tells us **which constraints are binding**, and how much they cost:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "7174d292",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-01T15:44:30.701000Z",
     "iopub.status.busy": "2026-11-01T15:44:30.700805Z",
     "iopub.status.idle": "2026-11-01T15:44:30.715071Z",
     "shell.execute_reply": "2026-11-01T15:44:30.714469Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "╒════╤════════════════════════════╤════════════╤═══════════════╤═════════════╤═════════════╤════════════╕\n",
      "│    │ Constraint                 │ Kind       │   Eff. Weight │    Residual │   Violation │ Feasible   │\n",
      "╞════╪════════════════════════════╪════════════╪═══════════════╪═════════════╪═════════════╪════════════╡\n",
      "│  0 │ #0 center_thickness >= 2   │ inequality │             1 │  -1.77      │   0         │ True       │\n",
      "│  1 │ #1 center_thickness <= 15  │ inequality │             1 │ -11.23      │   0         │ True       │\n",
      "│  2 │ #2 edge_thickness >= 1     │ inequality │             1 │  -0.8904    │   0         │ True       │\n",
      "│  3 │ #3 center_thickness >= 0.5 │ inequality │             1 │  -5.491     │   0         │ True       │\n",
      "│  4 │ #4 center_thickness <= 15  │ inequality │             1 │  -9.009     │   0         │ True       │\n",
      "│  5 │ #5 center_thickness >= 2   │ inequality │             1 │  -0         │   0         │ True       │\n",
      "│  6 │ #6 center_thickness <= 15  │ inequality │             1 │ -13         │   0         │ True       │\n",
      "│  7 │ #7 edge_thickness >= 1     │ inequality │             1 │  -1.891     │   0         │ True       │\n",
      "│  8 │ #8 center_thickness >= 0.5 │ inequality │             1 │  -3.773     │   0         │ True       │\n",
      "│  9 │ #9 center_thickness <= 15  │ inequality │             1 │ -10.73      │   0         │ True       │\n",
      "│ 10 │ #10 center_thickness >= 2  │ inequality │             1 │  -1.138     │   0         │ True       │\n",
      "│ 11 │ #11 center_thickness <= 15 │ inequality │             1 │ -11.86      │   0         │ True       │\n",
      "│ 12 │ #12 edge_thickness >= 1    │ inequality │             1 │   3.331e-15 │   3.331e-15 │ True       │\n",
      "╘════╧════════════════════════════╧════════════╧═══════════════╧═════════════╧═════════════╧════════════╛\n",
      "binding: #5 center_thickness >= 2       multiplier 1.75e-04\n",
      "binding: #12 edge_thickness >= 1        multiplier 1.18e-04\n"
     ]
    }
   ],
   "source": [
    "problem.constraint_info()\n",
    "for label in result.active_set:\n",
    "    print(f\"binding: {label:30s} multiplier {result.multipliers[label]:.2e}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c157530a",
   "metadata": {},
   "source": [
    "A binding constraint with a large multiplier is a good candidate to relax: loosening it\n",
    "would improve the merit the most.\n",
    "\n",
    "Let us compare the two runs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "a3becd3a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-01T15:44:30.717019Z",
     "iopub.status.busy": "2026-11-01T15:44:30.716729Z",
     "iopub.status.idle": "2026-11-01T15:44:31.116254Z",
     "shell.execute_reply": "2026-11-01T15:44:31.115428Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize=(11, 3.6))\n",
    "for name, hist in ((\"no constraints\", free_history), (\"constrained\", history)):\n",
    "    axes[0].semilogy(\n",
    "        [r[\"iteration\"] for r in hist.records], [r[\"value\"] for r in hist.records],\n",
    "        marker=\"o\", ms=3, label=name,\n",
    "    )\n",
    "axes[0].set_xlabel(\"accepted step\")\n",
    "axes[0].set_ylabel(\"merit  sum(r$^2$)\")\n",
    "axes[0].legend()\n",
    "axes[0].grid(True, alpha=0.3)\n",
    "\n",
    "for k in range(1, lens.surfaces.num_surfaces - 2):\n",
    "    axes[1].bar(\n",
    "        [k - 0.2, k + 0.2],\n",
    "        [thickness(LensOperand.edge_thickness, free_lens, k),\n",
    "         thickness(LensOperand.edge_thickness, lens, k)],\n",
    "        width=0.4, color=[\"tab:blue\", \"tab:orange\"],\n",
    "    )\n",
    "axes[1].axhline(0, color=\"k\", lw=0.8)\n",
    "axes[1].set_xlabel(\"gap after surface\")\n",
    "axes[1].set_ylabel(\"edge thickness [mm]\")\n",
    "fig.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "9aefde64",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-01T15:44:31.118836Z",
     "iopub.status.busy": "2026-11-01T15:44:31.118608Z",
     "iopub.status.idle": "2026-11-01T15:44:31.231749Z",
     "shell.execute_reply": "2026-11-01T15:44:31.231179Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 1000x400 with 1 Axes>, <Axes: xlabel='Z [mm]', ylabel='Y [mm]'>)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lens.draw(num_rays=7)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c034d2f3",
   "metadata": {},
   "source": [
    "## Watching and cancelling a run\n",
    "\n",
    "An observer is any object with `on_start`, `on_step` and `on_end` methods, and a\n",
    "`CancelToken` stops a run cleanly from anywhere (a button, a timer, another thread).\n",
    "Here an observer cancels the run after three accepted steps. The lens keeps the best\n",
    "design reached so far."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "93334219",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-01T15:44:31.233838Z",
     "iopub.status.busy": "2026-11-01T15:44:31.233593Z",
     "iopub.status.idle": "2026-11-01T15:44:31.740767Z",
     "shell.execute_reply": "2026-11-01T15:44:31.739692Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "start: merit 1.106e+04\n",
      "step 1: merit 1.715e+00  evaluations 13\n",
      "step 2: merit 1.308e+00  evaluations 26\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step 3: merit 2.326e-02  evaluations 38\n",
      "end: Stopped by a stopping criterion: cancelled by user.\n"
     ]
    }
   ],
   "source": [
    "class StopAfter:\n",
    "    def __init__(self, token, steps):\n",
    "        self.token, self.steps = token, steps\n",
    "\n",
    "    def on_start(self, state):\n",
    "        print(\"start: merit\", f\"{state.value:.3e}\")\n",
    "\n",
    "    def on_step(self, state):\n",
    "        print(f\"step {state.iteration}: merit {state.value:.3e}  evaluations {state.n_evals}\")\n",
    "        if state.iteration >= self.steps:\n",
    "            self.token.cancel()\n",
    "\n",
    "    def on_end(self, state, result):\n",
    "        print(\"end:\", result.stop_reason)\n",
    "\n",
    "\n",
    "cancel_lens = starting_lens()\n",
    "cancel_problem = make_problem(cancel_lens, constrained=True)\n",
    "token = CancelToken()\n",
    "cancelled = minimize(\n",
    "    cancel_problem, \"dls\", observers=[StopAfter(token, 3)], cancel_token=token\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "73f90928",
   "metadata": {},
   "source": [
    "For quick progress output, `minimize(problem, \"dls\", disp=True)` attaches a\n",
    "`ConsoleObserver`.\n",
    "\n",
    "## How many rays does the merit need?\n",
    "\n",
    "Gaussian quadrature uses few rays because it is an integral rule, not a sample. We can\n",
    "check the choice on the final design by building the merit with more rings and arms:\n",
    "if the value barely moves, three rings were enough."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "9d36596c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-01T15:44:31.743265Z",
     "iopub.status.busy": "2026-11-01T15:44:31.742891Z",
     "iopub.status.idle": "2026-11-01T15:44:31.800576Z",
     "shell.execute_reply": "2026-11-01T15:44:31.799338Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rings=2, arms= 6:  sum(r^2) = 1.3849e-03\n",
      "rings=3, arms= 6:  sum(r^2) = 1.3983e-03\n",
      "rings=4, arms= 8:  sum(r^2) = 1.3835e-03\n",
      "rings=6, arms=12:  sum(r^2) = 1.3837e-03\n"
     ]
    }
   ],
   "source": [
    "for rings, arms in [(2, 6), (3, 6), (4, 8), (6, 12)]:\n",
    "    check = OptimizationProblem()\n",
    "    check.add_residual_block(DefaultMeritBlock(lens, \"spot\", rings=rings, arms=arms))\n",
    "    print(f\"rings={rings}, arms={arms:2d}:  sum(r^2) = {check.sum_squared():.4e}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7907b5d9",
   "metadata": {},
   "source": [
    "## Summary and where to go next\n",
    "\n",
    "| Task | Call |\n",
    "|---|---|\n",
    "| Spot or wavefront merit in one call | `problem.add_default_merit(lens, kind=\"spot\" or \"wavefront\")` |\n",
    "| Manufacturing limits on thickness | `problem.add_physical_constraints(lens, ...)` |\n",
    "| Any other hard limit | `problem.add_constraint(operand, target=... or min_val=.../max_val=...)` |\n",
    "| Run, watch and cancel | `minimize(problem, \"dls\", observers=[...], cancel_token=...)` |\n",
    "\n",
    "Hard constraints are enforced by `\"dls\"` only; other optimizers raise an error rather\n",
    "than ignore them. If you need another optimizer, use `mode=\"penalty\"` instead (see\n",
    "[Default Merit and Constraints](../optimization_merit_constraints.rst)). For method\n",
    "selection, speed tips and failure behavior, see the [Optimization Guide](../optimization_guide.rst)."
   ]
  }
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