{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "fdec13d6-8b0c-4cf5-8dd3-bf84c84a149b",
   "metadata": {},
   "source": [
    "# Age replacement policy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "6b89f542-f543-48e4-ba67-40ce9147feed",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from relife.lifetime_model import Gompertz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "1f210c50-b26f-44e0-bb8e-e6b733ba2b05",
   "metadata": {},
   "outputs": [],
   "source": [
    "a0 = np.array([15, 20, 25])\n",
    "cp = 10\n",
    "cf = np.array([900, 500, 100])\n",
    "discounting_rate = 0.04\n",
    "model = Gompertz(shape=0.00391, rate=0.0758)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "f7c44607-c0fe-4eaf-b4c8-5ec470bf6440",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimal ages of replacement (per asset) [20.91316269 25.54310597 41.59988035]\n",
      "Time before first replacement (per asset) [ 5.91316269  5.54310597 16.59988035]\n"
     ]
    }
   ],
   "source": [
    "from relife.policy import AgeReplacementPolicy\n",
    "\n",
    "ar_policy = AgeReplacementPolicy(model, cf=cf, cp=cp, a0=a0, discounting_rate=discounting_rate).optimize()\n",
    "print(\"Optimal ages of replacement (per asset)\", ar_policy.ar)\n",
    "print(\"Time before first replacement (per asset)\", ar_policy.first_cycle_tr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9e485804-71d3-463a-9618-fae67e6523c6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimal ages of replacement (per asset), on one cycle [15.61079092 20.87305772 38.85510169]\n",
      "Time before replacement (per asset), on one cycle [ 0.61079092  0.87305772 13.85510169]\n"
     ]
    }
   ],
   "source": [
    "from relife.policy import OneCycleAgeReplacementPolicy\n",
    "\n",
    "onecycle_ar_policy = OneCycleAgeReplacementPolicy(model, cf=cf, cp=cp, a0=a0, discounting_rate=discounting_rate).optimize()\n",
    "print(\"Optimal ages of replacement (per asset), on one cycle\", onecycle_ar_policy.ar)\n",
    "print(\"Time before replacement (per asset), on one cycle\", onecycle_ar_policy.tr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "c14e1597-00d8-468b-8f04-e96e2dd84623",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Probability density function'}, xlabel='t', ylabel='$f(t)$'>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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9MXv2bFy7dg0eHh5Ys2YNqqurG33O8ePH4+uvv8aMGTOwf/9+3H333SgpKcG2bdswZcoUjBgxAo6OjggLC8PatWvRqVMneHh4IDw83LiExo0iIyMxYcIELF++HPn5+RgwYAD279+PlStXIiEhwaQnlMhiiXqvH5EVM9wWfuDAgdu2mzBhguDs7Fzvc0VFRcJLL70k+Pv7Cw4ODkJoaKjw4YcfGm8BNwAgPP/888K3334rhIaGCkqlUujRo4fJreeCIAjXr18XJk2aJHh5eQkuLi5CfHy8cPr0aaFt27YmywYYat+5c6fwzDPPCG3atBFcXFyEcePGCXl5eSbnbOxSBadPnxbuuecewdHRUQBQZ9mCiooKoU2bNoJarRbKyspu+x3e6NixY8KAAQMElUolBAQECPPnzxe++OKLW96iHx8fL6jVakGlUgkdOnQQJk6caLLkw62uz82f6fvvvxcGDx4s+Pj4CAqFQggODhb+/ve/C1evXjV5P9y0JEBxcbHw+OOPC+7u7gKAepcteOCBBwQAwp49exr8PdS3VIEgCEJqaqoQFxcnKJVKwdfXV5gzZ46QmJhY71IF3bp1q/P6CRMm1KmxtLRU+Mc//iG0a9dOcHBwEDQajTBy5EghNTXV2GbPnj1CdHS0oFAoTJYtqO93o6qqSnjrrbeM5wsKChJmz54tlJeXN+gz3vw7SdTaJILAWXdE1Pqqq6vh7++P4cOH44svvhC7HFE9/PDDOH78OM6fPy92KUTUAJzzRESi2LBhA3JycjB+/HixSxHV1atX8fPPP+OJJ54QuxQiaiD2PBFRq9q3bx+OHTuG+fPnw8vLq97FO+1BWloa/vjjD/z3v//FgQMHkJqaWu+yCkRkedjzREStyrAPmo+Pj11v8Lpz50488cQTSEtLw8qVKxmciKwIe56IiIiIzMCeJyIiIiIzMDwRERERmYGLZN6GXq/HlStX4Orq2qjdw4mIiKj1CYKAoqIi+Pv7t8i+ogxPt3HlyhUEBQWJXQYRERE1QmZmJgIDA5v9vAxPt2HYrDUzMxNubm4iV0NEREQNUVhYiKCgIJNN15sTw9NtGIbq3NzcGJ6IiIisTEtNueGEcSIiIiIzMDwRERERmYHhiYiIiMgMnPNERESi0el0qKqqErsMsjIODg6QyWSivT/DExERtTpBEKDVapGfny92KWSl3N3dodFoRFmHkeGJiIhanSE4+fj4wMnJiQsRU4MJgoDS0lJkZ2cDAPz8/Fq9BoYnIiJqVTqdzhicPD09xS6HrJCjoyMAIDs7Gz4+Pq0+hMcJ40RE1KoMc5ycnJxEroSsmeH3R4w5cwxPREQkCg7VUVOI+fvD8ERERERkBoYnIiIiEtXAgQMxffp048+lpaV49NFH4ebmBolEYnF3ZTI8ERERmUGr1WLatGno2LEjVCoVfH190b9/fyxbtgylpaVil9doISEh+OSTT8QuAwCwcuVK/P7779izZw+uXr0KtVotdkkmeLcdERFRA124cAH9+/eHu7s7FixYgIiICCiVShw/fhzLly9HQEAAHnroIbHLNEtlZSUUCoXYZZhITU1F165dER4eLnYp9WLPEzU7QRCQVViO38/l4EjGdRRXVItdEhFRs5gyZQrkcjkOHjyIUaNGoWvXrmjfvj1GjBiBn3/+GcOHDwcAZGRkYMSIEXBxcYGbmxtGjRqFrKws43nmzZuHqKgofPnllwgODoaLiwumTJkCnU6HDz74ABqNBj4+Pnj33XdN3l8ikWDZsmUYOnQoHB0d0b59e3z//fcmbTIzMzFq1Ci4u7vDw8MDI0aMwMWLF43PT5w4EQkJCXj33Xfh7++Pzp07Y+DAgUhPT8dLL70EiURinIw9cOBA4883Pm48340M537rrbfg7e0NNzc3PPvss6isrDS2KSkpwfjx4+Hi4gI/Pz8sWrTI5BwDBw7EokWLsGvXLkgkEgwcONDcy9Ti2PNEzSa7sBxLdpzHz8euIq+k0uS5Dt7OeHZABzzSMxAyKe+wISJTgiCgrEonyns7OsgadOdWXl4efv31VyxYsADOzs71tpFIJNDr9cbgtHPnTlRXV+P555/H6NGj8dtvvxnbpqamYsuWLdi6dStSU1MxcuRIXLhwAZ06dcLOnTuxZ88ePPnkk4iLi0NMTIzxdW+88Qbee+89fPrpp/jmm28wZswYHD9+HF27dkVVVRXi4+MRGxuL33//HXK5HO+88w6GDBmCY8eOGXuYkpKS4ObmhsTERAA1C01GRkbimWeewdNPP218rx9++MEk+Dz//PM4ceIEfH19b/k9JSUlQaVS4bfffsPFixcxadIkeHp6GoPgK6+8gp07d2Ljxo3w8fHBnDlzcPjwYURFRRnfc9asWUhJScEPP/xgcb1iAMMTNYOKah0+2XYOX/2RhvIqPQBAKgFCvJxRVF6NnKIKpOaU4JXvj+GL3Wl4e0Q4+rTzELlqIrIkZVU6hL35iyjvffLteDgp7vzn8Pz58xAEAZ07dzY57uXlhfLycgA14SIuLg7Hjx9HWloagoKCAABff/01unXrhgMHDqB3794AAL1ejy+//BKurq4ICwvDvffeizNnzmDz5s2QSqXo3Lkz3n//fezYscMkPD322GN46qmnAADz589HYmIiPvvsM/zrX//C2rVrodfr8d///tcYCL/66iu4u7vjt99+w+DBgwEAzs7O+O9//2sSTGQyGVxdXaHRaIzHPDz++nf1xx9/jO3bt2Pfvn3GRSrro1Ao8OWXX8LJyQndunXD22+/jVdeeQXz589HaWkpvvjiC3z77bcYNGgQgJr5TYGBgSbv6eTkBIVCYVKLJWF4oibJK67As98ewoGL1wEA0W3bYNqgUPRp5wGVQ82Kr9dLKrHuUCaWbD+P09oi/O2/+/DPsVEYEt76S+oTETW3/fv3Q6/XY9y4caioqMCpU6cQFBRkDE4AEBYWBnd3d5w6dcoYnkJCQuDq6mps4+vrC5lMBqlUanLMsA2JQWxsbJ2fjx49CgD4888/cf78eZPzAkB5eTlSU1ONP0dERJjVo7NlyxbMmjULP/30Ezp16nTbtpGRkSYLoMbGxqK4uBiZmZnIz89HZWWlSRj08PCoE0gtHcMTNdr57CJMWnEAmdfK4KqS48OR3RHfre4mjW2cFXjmng4Y1SsIs384ji0pWkxZdRjvPdodo3oF3eLsRGRPHB1kOPl2vGjv3RAdO3aERCLBmTNnTI63b9++5jy36Y2pj4ODg8nPEomk3mN6vb7B5ywuLkZ0dDRWrVpV5zlvb2/jP99q2LE+J0+exJgxY/Dee+8Ze67sHSeMU6Ncul6Kx/+zD5nXytDW0wnrp/TDkHC/284bcHdSYMnjPTGmdxD0AvDq98ew5fjVVqyaiCyVRCKBk0IuyqOhK1V7enri/vvvx5IlS1BSUnLLdl27dkVmZiYyMzONx06ePIn8/HyEhYU1+bvau3dvnZ+7du0KAOjZsyfOnTsHHx8fdOzY0eRxp9v9FQoFdDrTeWe5ubkYPnw4Hn30Ubz00ksNqu/PP/9EWVmZSX0uLi4ICgpChw4d4ODggH379hmfv379Os6ePdugc1sKhicyW0FpFSZ+dQDZRRXo7OuK9VP6o6OP651fCEAmlWDhIxEYH9sWQE2Aysiz3nVRiMi+/Otf/0J1dTV69eqFtWvX4tSpUzhz5gy+/fZbnD59GjKZDHFxcYiIiMC4ceNw+PBh7N+/H+PHj8eAAQPQq1evJtewbt06fPnllzh79izmzp2L/fv344UXXgAAjBs3Dl5eXhgxYgR+//13pKWl4bfffsOLL76IS5cu3fa8ISEh2LVrFy5fvozc3FwAwKOPPgonJyfMmzcPWq3W+DCErPHjx2P27Nkm56msrMTkyZNx8uRJbN68GXPnzsULL7wAqVQKFxcXTJ48Ga+88gq2b9+OlJQUTJw40WSo0hpw2I7MUlmtxzPfHMT57GJo3FT4alJveDibdyeERCLBGw+G4cSVQhxKv47nVx/G98/FQilv3V2xiYjM1aFDBxw5cgQLFizA7NmzcenSJSiVSoSFheHll1/GlClTIJFIsHHjRkydOhX33HMPpFIphgwZgs8++6xZanjrrbewZs0aTJkyBX5+fvjuu++MPVpOTk7YtWsXXnvtNTzyyCMoKipCQEAABg0aBDc3t9ue9+2338bf//53dOjQARUVFRAEAbt27QIAtG3b1qRtWloaQkJCkJGRUSf4DBo0CKGhobjnnntQUVGBsWPHYt68ecbnP/zwQxQXF2P48OFwdXXFzJkzUVBQ0AzfTOuRCIIgiF2EpSosLIRarUZBQcEdf+nsxXtbTuPznalwVcqx7rlYdNE0/nu5kl+GYf/8HddLqzCpfwjmDu/WjJUSkaUqLy9HWloa2rVrB5VKJXY5VkUikWD9+vVISEgQu5R6TZw4Efn5+diwYUOLv9ftfo9a+u+3dfWTkaiSU/Pw7101d2t8+Fhkk4ITAPi7O2LxqCgAwMo9F3HqamFTSyQiImpxDE/UIAWlVZjxf0chCMCY3kEYEt48a2/c28UHD0RooBeA+ZtOgh2hRERk6TjniRrkrZ9O4GpBOdp5OeONB5t+t8iNZg/tim2nsrEnNQ+/nsxCfDfLXBSNiEhslv4fmCtWrBC7hFbBnie6o70X8vDDkcuQSICPR0fBWdm8mTvIwwlP390OALBg8ylUVIuzRQMREVFDMDzRbVXp9HhzYwoAYFxMMKKC3FvkfaYM7AgfVyXS80qx7uDtb6clIttg6b0oZNnE/P1heKLbWvHHRZzNKoaHswIvD2655fOdlXI8N7ADAOA/v1+ATs9/qRLZKsMq2qWlXOONGs/w+3PzquytgXOe6JayC8vxybaaVV9nDe0Cd6eW3dl6dO8gfJp0Dul5pdiaosWw7tz7jsgWyWQyuLu7G/dsc3JyavAq30SCIKC0tBTZ2dlwd3eHTNb6awQyPNEtfbb9PEoqdYgKcsfInoF3fkETOSnkGB8bgn8mncPnO1PxQETdffKIyDZoNDU3hty86S1RQ7m7uxt/j1obwxPVKz2vBN/tzwBQ0+sklbZOiJnYLwTLd6Xi+OUC7EnNQ/+OXq3yvkTUuiQSCfz8/ODj44OqqiqxyyEr4+DgIEqPkwHDE9Xr48SzqNYLGNDJG33be7ba+3o4KzC6VxBWJqdj+a4LDE9ENk4mk4n6R5CoMThhnOo4dbUQG/+8AgB4Jb7lJonfypN31SxbsOtcDi5d54RSIiKyLAxPVMfixLMQBODB7n4ID1C3+vu39XRGvw6eEATg+0NctoCIiCwLwxOZOKMtQuLJLEgkwPS4TqLVMbp3EABg3cFLXLaAiIgsCsMTmVj223kAwAPhfujo4yJaHfHdNFA7OuByfhl2n88VrQ4iIqKbMTyRUXpeCX6snetkWLBSLCoHGRKi/AEA/3cgU9RaiIiIbsTwREaf77wAvQAM7Owtylynm43uHQwA+PWkFnnFFSJXQ0REVIPhiQAAWYXl+F/t5Ozn7+0ocjU1wvzdEB7ghiqdgM0pWrHLISIiAsDwRLW+SU5HpU6PXm3boHeIh9jlGD0UWTN09/OxKyJXQkREVIPhiVBepcOqfekAgKfubidyNaYeiKjZ325f2jVkF5WLXA0RERHDEwHYcOQyrpdWIbCNI+4PE2efoFsJbOOEqCB3CALwC4fuiIjIAjA82TlBEPDlH2kAavaVk7XSHnbmeLB7Te/TpmNXRa6EiIiI4cnu/XE+D2eziuGskGFU7cKUlmZo7dDd/ovXkF3IoTsiIhIXw5Od+6q21+mxXkFwUzmIXE39Atwd0SO4ZuhuC4fuiIhIZAxPduzS9VJsP5MNABgf21bkam5vWG3v0+bjHLojIiJxMTzZsTX7MyEIQP+OnmjvLd5WLA0R361mIvvB9OsoKK0SuRoiIrJnDE92qrJajzW12578Lcaye50AIMjDCaE+LtDpBew6lyN2OUREZMcYnuzUrye1yC2ugI+rEnFhvmKX0yD3dfUBAGw/nS1yJUREZM8sKjwtXboUISEhUKlUiImJwf79+2/bft26dejSpQtUKhUiIiKwefPmW7Z99tlnIZFI8MknnzRz1dZp1d4MAMCY3kFwkFnUr8Et3de5Jjz9diYbOr0gcjVERGSvLOav5tq1azFjxgzMnTsXhw8fRmRkJOLj45GdXX8vw549ezB27FhMnjwZR44cQUJCAhISEpCSklKn7fr167F37174+/u39MewCqk5xUi+kAepBBjTJ1jschosum0buKnkuF5ahaOZ18Uuh4iI7JTFhKfFixfj6aefxqRJkxAWFobPP/8cTk5O+PLLL+tt/+mnn2LIkCF45ZVX0LVrV8yfPx89e/bEkiVLTNpdvnwZU6dOxapVq+DgYJm34re2/ztYM9fp3s4+8Hd3FLmahpPLpBhQ2/uUdIpDd0REJA6LCE+VlZU4dOgQ4uLijMekUini4uKQnJxc72uSk5NN2gNAfHy8SXu9Xo8nnngCr7zyCrp163bHOioqKlBYWGjysDVVOj3+d+gyAFjsopi3c18XbwCc90REROKxiPCUm5sLnU4HX1/Ticu+vr7QautfFFGr1d6x/fvvvw+5XI4XX3yxQXUsXLgQarXa+AgKsr5wcSc7Tmcjt7gCXi5K3NfFR+xyzDagkw+kEuC0tgiX88vELoeIiOyQRYSnlnDo0CF8+umnWLFiBSSShu3XNnv2bBQUFBgfmZmZLVxl6zMM2T3aM8BqJorfyMNZgaggdwDAbi5ZQEREIrCIv55eXl6QyWTIysoyOZ6VlQWNRlPvazQazW3b//7778jOzkZwcDDkcjnkcjnS09Mxc+ZMhISE1HtOpVIJNzc3k4ctyS4sx44zNYHjsV7W26t2V0cvAMDu83kiV0JERPbIIsKTQqFAdHQ0kpKSjMf0ej2SkpIQGxtb72tiY2NN2gNAYmKisf0TTzyBY8eO4ejRo8aHv78/XnnlFfzyyy8t92Es2P8OX4ZOLyC6bRt09LHsFcVvp39teNpzPhd6LllAREStTC52AQYzZszAhAkT0KtXL/Tp0weffPIJSkpKMGnSJADA+PHjERAQgIULFwIApk2bhgEDBmDRokUYNmwY1qxZg4MHD2L58uUAAE9PT3h6epq8h4ODAzQaDTp37ty6H84CCIKA/x2+BAAY1StQ5GqapkdwGzg6yJBXUokzWUXo6mdbPYRERGTZLCY8jR49Gjk5OXjzzTeh1WoRFRWFrVu3GieFZ2RkQCr9q6OsX79+WL16NV5//XXMmTMHoaGh2LBhA8LDw8X6CBYt5XIhzmcXQymX4oHaTXatlUIuRZ92Hth5Ngd/nM9leCIiolYlEQSB4x63UFhYCLVajYKCAquf//T2Tyfx5R9peLC7H5Y83lPscprsP7su4N3NpzCwszdWTOojdjlERGRBWvrvt0XMeaKWVa3T48c/rwAAHu4RIHI1zaNfx5oh2f1p11BZrRe5GiIisicMT3Zg9/lc5BZXwNNZgXs6eYtdTrPoqnGDh7MCpZU6HM3MF7scIiKyIwxPdmD9kZoVxYdH+lvl2k71kUol6Nehpvdp9/lckashIiJ7Yht/SemWiiuq8cuJmlXXE2xkyM7AsGRBcirDExERtR6GJxv3S4oW5VV6tPdyRmSgWuxymlXf9jU9T39mFqC8SidyNUREZC8YnmycYcguoUdAg7epsRYhnk7wclGiUqfHn5z3RERErYThyYZlFZbjj9ohrYQo2xqyAwCJRIKYdh4Aau66IyIiag0MTzZs49HLEASgV9s2CPZ0ErucFtHHEJ4uMjwREVHrYHiyYeuP1K7t1NP2ep0MeofUhKfD6ddRreN6T0RE1PIYnmzUaW0hTl0thEImxTAr347ldjprXOGmkqOkUoeTVwvFLoeIiOwAw5ONMkwUv7eLN9ydFCJX03JkUgl6hXDeExERtR6GJxskCAI2/XkVgG1OFL9ZH04aJyKiVsTwZIMOZ+Tjcn4ZnBUy3NvFR+xyWpxh3tOBi9eg13OfayIialkMTzZo07GaieL3h/lC5SATuZqWFxGghspBiuulVUjNKRa7HCIisnEMTzZGrxew+XjNkN2D3f1FrqZ1KORSRAW5AwAOpV8XtxgiIrJ5DE825sDFa8gqrICrSo67O3mJXU6r6RHcBgBwOIPhiYiIWhbDk43ZdKym1ym+mwZKue0P2Rn0rA1PRzLyxS2EiIhsHsOTDanW6W8YsrPdtZ3q0yPYHQBwLrsYBWVV4hZDREQ2jeHJhuy9cA15JZVo4+SA/h3tZ8gOALxclAj2qNmC5ig3CSYiohbE8GRDDHfZDQn3g4PM/i5tz9repyOc90RERC3I/v7C2qgqnR5bT2gBAMPtbMjOoGdbw6TxfHELISIim8bwZCN2n89FfmkVvFyUiGnvKXY5ovhr0vh1LpZJREQthuHJRhi2Y3kgQgOZVCJyNeLorHGFykGKovJqLpZJREQthuHJBlRU6/DryZohO3tZGLM+DjIpuge6A+CSBURE1HIYnmzArrO5KCqvhsZNhV61837sVU8ulklERC2M4ckGGO6yeyDCD1I7HbIzMKz3xOUKiIiopTA8WbmKah22n8oGAAyz07vsbhRZO2x3NqsIpZXV4hZDREQ2ieHJyv1xPhdFFdXwdVOiR+3muPZMo1bBx1UJvQCcuFIodjlERGSDGJ6s3ObjNRPFh3TT2P2QnYFh0vifHLojIqIWwPBkxap0eiSezAIADI3gkJ1BZKAaAHD8coHIlRARkS1ieLJiey/koaCsCl4uCvQO8RC7HIvRvXb48tglhiciImp+DE9WzDBkd3+Y/S6MWZ/uATU9T2m5JSgoqxK5GiIisjUMT1ZKpxeQWLsw5tBwjcjVWJY2zgoEeTgCAI6z94mIiJoZw5OVOnDxGnKLK6F2dEBsB/vcy+52jJPGL+WLWgcREdkehicrteV4zV5294f5wkHGy3gzw6TxYwxPRETUzPhX1wrp9QK2nuCQ3e0Yep44aZyIiJobw5MVOpKZj6zCCrgo5bgr1EvscixSeIAaEglwtaAc2UXlYpdDREQ2hOHJCm1NqRmyG9TVB0q5TORqLJOLUo6O3i4AOGmciIiaF8OTlREEwbhEAYfsbi+8dskCbtNCRETNieHJyqRcLsTl/DI4OsgwoJOP2OVYtG7+bgCAFK40TkREzYjhycpsqR2yu7eLNxwVHLK7HfY8ERFRS2B4siKCIGBLSu1GwOHcy+5Owmp7ni7nl+F6SaXI1RARka1geLIiZ7KKkJZbAoVcivu6cMjuTtxUDgjxdALA3iciImo+DE9WZEvtRPF7Qr3gopSLXI116OZfM3SXcoXznoiIqHkwPFkRw3ynoRyya7BuAZw0TkREzYvhyUqk5hTjbFYx5FIJ4rr6il2O1Qj356RxIiJqXgxPVmJr7UTxfh29oHZyELka62FYriAttwRF5VUiV0NERLaA4clKGIbsHuDCmGbxdFHCX60CAJy6WiRyNUREZAsYnqxARl4pUi4XQioB7g/jkJ25utWu98R5T0RE1BwYnqzA1hM1vU4x7Tzh6aIUuRrrw5XGiYioOTE8WQHDwphDIzhk1xiG5QpOXuWkcSIiajqGJwt3taAMRzLyIZEA8d0Ynhqjq58rgJo7Fiur9SJXQ0RE1o7hycIZ7rKLDm4DXzeVyNVYpwB3R7iq5KjSCUjNKRa7HCIisnIMTxbur73s2OvUWBKJBF01NfOeTnHojoiImojhyYJlF5XjwMVrAIChEVxVvCkMQ3entVyugIiImobhyYL9eiILggBEBqoR4O4odjlWrYsfe56IiKh5MDxZsK3GITv2OjVVV4YnIiJqJgxPFup6SSWSL+QBAIZyvlOTdfZ1hUQC5BZXIqeoQuxyiIjIijE8WajEU1nQ6QV00bgixMtZ7HKsnqNChnaeNd8je5+IiKgpGJ4slGHIbiiH7JqNYejutJbhiYiIGo/hyQIVlVdh97lcAFxVvDl10dTccccNgomIqCkYnizQ9tPZqNTp0d7bGaE+LmKXYzM4aZyIiJoDw5MF2nLcMGSngUQiEbka29G1doPg89ncpoWIiBqP4cnClFZW47ez2QA436m5+atVcFPJUa0XcD6b27QQEVHjMDxZmJ1nclBepUdgG0d0q+0poeYhkUiMi2Vy0jgRETUWw5OF2ZLCIbuW1NU4aZzhiYiIGofhyYJUVOuw/XTNkB1XFW8Zf00a5x13RETUOBYVnpYuXYqQkBCoVCrExMRg//79t22/bt06dOnSBSqVChEREdi8ebPJ8/PmzUOXLl3g7OyMNm3aIC4uDvv27WvJj9Aku8/loriiGr5uSvQIche7HJvEtZ6IiKipLCY8rV27FjNmzMDcuXNx+PBhREZGIj4+HtnZ2fW237NnD8aOHYvJkyfjyJEjSEhIQEJCAlJSUoxtOnXqhCVLluD48ePYvXs3QkJCMHjwYOTk5LTWxzKLYchuSDcNpFIO2bWETr6ukNZu05JdVC52OUREZIUkgiAIYhcBADExMejduzeWLFkCANDr9QgKCsLUqVMxa9asOu1Hjx6NkpISbNq0yXisb9++iIqKwueff17vexQWFkKtVmPbtm0YNGjQHWsytC8oKICbW8tO3q7S6dHrnW0oKKvCd0/3RWwHzxZ9P3t236LfcCGnBF8/2Qf3dPIWuxwiImpmLf332yJ6niorK3Ho0CHExcUZj0mlUsTFxSE5Obne1yQnJ5u0B4D4+Phbtq+srMTy5cuhVqsRGRnZfMU3k70X8lBQVgVPZwX6tPMQuxyb1lXDxTKJiKjxLCI85ebmQqfTwdfX1+S4r68vtFptva/RarUNar9p0ya4uLhApVLh448/RmJiIry8vOo9Z0VFBQoLC00ercUwZDe4my9kHLJrUV39eMcdERE1nkWEp5Z077334ujRo9izZw+GDBmCUaNG3XIe1cKFC6FWq42PoKCgVqlRpxfw64na+U68y67F/TVpnHfcERGR+SwiPHl5eUEmkyErK8vkeFZWFjSa+jfG1Wg0DWrv7OyMjh07om/fvvjiiy8gl8vxxRdf1HvO2bNno6CgwPjIzMxswqdquIMXryG3uBJuKjli23OuU0szLJR5PrsYFdU6kashIiJrYxHhSaFQIDo6GklJScZjer0eSUlJiI2Nrfc1sbGxJu0BIDEx8ZbtbzxvRUVFvc8plUq4ubmZPFqDYcguLswXCrlFXBKbduM2LanZJWKXQ0REVsZi/lLPmDED//nPf7By5UqcOnUKzz33HEpKSjBp0iQAwPjx4zF79mxj+2nTpmHr1q1YtGgRTp8+jXnz5uHgwYN44YUXAAAlJSWYM2cO9u7di/T0dBw6dAhPPvkkLl++jMcee0yUz1gfvV7ALycMq4pzyK413LhNC+c9ERGRueRiF2AwevRo5OTk4M0334RWq0VUVBS2bt1qnBSekZEBqfSvrNevXz+sXr0ar7/+OubMmYPQ0FBs2LAB4eHhAACZTIbTp09j5cqVyM3NhaenJ3r37o3ff/8d3bp1E+Uz1ufPS/m4WlAOZ4UMd4fWP5Gdml+Ynxv2p11jeCIiIrNZzDpPlqg11nlauPkU/r3rAh7s7oclj/dskfegutYeyMBr/zuOuzp64dunYsQuh4iImpFdrPNkrwRBuGEjYA7ZtaZOvjXLFZzN4h13RERkHoYnEZ28WoiMa6VQyqUY2JkrXbem0NrwlF1UgesllSJXQ0RE1oThSURba3udBnTyhrPSYqaf2QUXpRyBbRwBsPeJiIjMw/AkIuOQXUT9a1lRy+rMoTsiImoEhieRnM8uwvnsYjjIJLivi++dX0DNrpOmJjydYXgiIiIzMDyJZMvxml6n/h29oHZ0ELka+2TsedIWi1wJERFZE4Ynkfx1lx2H7MRiuOPuTFYRuGIHERE1FMOTCDLySnHyaiFkUgnuD2N4Ekt7b2fIpBIUlFUhu6j+LXuIiIhuxvAkgi0pVwEAMe084OGsELka+6VykCHE0wkAcEbLeU9ERNQwDE8i2Gy8y44LY4qts4Z33BERkXkYnlpZ5rVS/JmZD6kEGNKNQ3ZiM857Ys8TERE1EMNTK/v5eM2QXd/2nvB2VYpcDXGtJyIiMhfDUyv7+VhNeBrWnUN2lqCTcdiuGHo977gjIqI7Y3hqRel5JTh+uYBDdhakrYcTFHIpyqp0uHS9TOxyiIjICjA8tSLDkF2/Dl7wdOGQnSWQy6To6O0CgCuNExFRwzA8tSIO2Vkm3nFHRETmYHhqJWm5JThxpWZhzHgO2VkU3nFHRETmYHhqJZtrh+z6d/TiwpgWprOmZtiOPU9ERNQQDE+tZFPtkN2DXBjT4hh6nlJzilGl04tcDRERWTqGp1aQmlOMU1cLIZdKMLibr9jl0E0C3B3hrJChSifgYm6J2OUQEZGFY3hqBYaJ4neFesHdiUN2lkYikSDUMO+JQ3dERHQHDE+twHiXHYfsLJZxpXFOGiciojtgeGph57KKcCarCA4yCQaH8S47S2VYaZw9T0REdCcMTy3MsDDm3aHeUDs5iFwN3cpfe9wVi1wJERFZOoanFsYhO+vQqXa5got5JSiv0olcDRERWTKGpxZ0NqsI57KLoZBJERfGu+wsmbeLEm2cHCAIwPls9j4REdGtMTy1IMPaTvd08oLakUN2lkwikRjXe+JimUREdDsMTy1EEAT8fOwKAO5lZy06c9I4ERE1AMNTCzmTVYTUnBIo5FLEdeWQnTXgHndERNQQDE8txDBRfEAnb7iqOGRnDQzh6RzvuCMiottgeGoBNUN2tXvZccjOanTyrbnj7nJ+GYrKq0SuhoiILBXDUws4caUQF3JrhuwGccjOarg7KeDjqgQAnOMdd0REdAsMTy1g49HLAIC4rj5wUcpFrobM8dfQHec9ERFR/RiempleL+CnP2uG7B6KDBC5GjJXJ640TkREd8Dw1Mz2X7wGbWE5XFVyDOzsLXY5ZCbDvCeu9URERLfSpDGlqqoqaLValJaWwtvbGx4eHs1Vl9XaeLRmbaeh4RqoHGQiV0PmCuVCmUREdAdm9zwVFRVh2bJlGDBgANzc3BASEoKuXbvC29sbbdu2xdNPP40DBw60RK0Wr7Jaj821GwGPiOKQnTUy9DxlFVagoJR33BERUV1mhafFixcjJCQEX331FeLi4rBhwwYcPXoUZ8+eRXJyMubOnYvq6moMHjwYQ4YMwblz51qqbou062wOCsqq4O2qRN/2nmKXQ43gqnKAv1oFADibzd4nIiKqy6xhuwMHDmDXrl3o1q1bvc/36dMHTz75JJYtW4YVK1bg999/R2hoaLMUag02/lkzZDe8uz9kUonI1VBjhfq64kpBOc5mFaF3CIeiiYjIlFnh6bvvvjP+c79+/bB161a4ubnVaadSqfDss882vTorUlJRjcSTWgDAiCh/kauhpuisccXOszlcaZyIiOrV6Lvt9u7di/Ly8jrHCwsL8dprrzWpKGu07VQWyqv0CPF0QvdAtdjlUBOE+tTMe+Ied0REVB+zw9PIkSPx3nvvQSKRIDs7u87zJSUl+Oijj5qlOGtiuMvuoagASCQcsrNmxoUyOeeJiIjqYfZSBcHBwdi0aRMEQUBkZCQ8PT0RGRmJyMhIREVF4cyZM/Dzs6/93K6VVGLX2RwAwEORHLKzdqG1d9zlFlcir7gCni5KkSsiIiJLYnZ4Wrx4MQBAoVDgjz/+wJUrV3DkyBEcPXoU69evh16vxwcffNDshVqyzcevolovIDzADR1rh3zIejkp5AjycETmtTKczSpGLMMTERHdoNGLZJaUlMDBwQEAMGLEiGYryBr9WDtkN4LbsdiMTj6uyLxWhnPZRYjtwGUniIjoL42eMG4ITvbu0vVS7L94DRIJ8GCkfQ1X2rJOGq40TkRE9TMrPGVkZJh18suXL5vV3hptOFLzGWPbe8JP7ShyNdRcjHvcablcARERmTIrPPXu3Rt///vfb7v9SkFBAf7zn/8gPDwc//vf/5pcoCUTBAE/HK4JT4/0DBS5GmpOoT61PU/ZRRAEQeRqiIjIkpg152nYsGFwcXHB/fffD5VKhejoaPj7+0OlUuH69es4efIkTpw4gZ49e+KDDz7AAw880FJ1W4Sjmfm4kFsClYMUQ8I1YpdDzaijjwukEiC/tAo5xRXwcVWJXRIREVkIs8LTt99+i8zMTMyfPx/e3t7w8/NDbm4uysrK4OXlhXHjxiE+Ph7h4eEtVa9FWV87ZDekmwYuykbPvScLpHKQoa2nM9JyS3BWW8zwRERERmb9xff398fRo0cRHx+PsrIyLFiwAD4+Pi1Vm0WrrNbjx9q97DhkZ5tCfVxqwlNWEe4K9RK7HCIishBmzXmaOXMmhg8fjrvvvhsSiQSrVq3CgQMHUFZW1lL1WawdZ7KRX1oFH1cl+nfkH1Zb1FnDlcaJiKgus8LT1KlTcfDgQQwZMgSCIGDp0qWIjY2Fm5sbunbtijFjxuC9997Dli1bWqpei/HD4UsAgId7BEAm5XYstii0dpsW7nFHREQ3MnuiTvfu3dG9e3esWLECycnJcHZ2xrFjx3D06FEcPXoUGzduxLvvvouiItv9g5NfWontp2v29eOQne0yLFdwLqsYgiBwz0IiIgLQhBXGz507Z/znmJgYxMTEGH+29Vu7fzp2FVU6AWF+bsahHbI97b1cIJdKUFRRDW1hOdfxIiIiAE1YYfx2bP2/0A1Ddo/05HYstkwhlyLEyxkAh+6IiOgvLRKebNmFnGIcyciHTCrBQ1H+YpdDLezGoTsiIiKA4clshu1Y7gn14to/dqCTL/e4IyIiUwxPZtDrBfxwhNux2BOGJyIiuhnDkxn2XsjDpetlcFXKcX+Yr9jlUCswDttlF0Ovt+0bIYiIqGEYnsyw9mAmAOChKH+oHGQiV0Otoa2nMxQyKUordbicb3+LwRIRUV0MTw1UUFqFLSlaAMDo3kEiV0OtxUEmRXvvmjvuOHRHREQAw1OD/fjnZVRW69FF44qIALXY5VArCjXOe+Idd0RExPDUYIYhu1G9gmx+HSsy1cmnZt4Te56IiAhgeGqQU1cLkHK5EA4yCRJ6cGFMe9NJwzvuiIjoLwxPDbDhyBUAwOAwDTycFSJXQ63NsFzB+exi6HjHHRGR3WN4aoCf/qwJT6M4UdwuBXs4QSmXoqJaj4xrpWKXQ0REImN4aoDC8mr4q1W4q6OX2KWQCGRSCTpy3hMREdWyqPC0dOlShISEQKVSISYmBvv3779t+3Xr1qFLly5QqVSIiIjA5s2bjc9VVVXhtddeQ0REBJydneHv74/x48fjypUrjaptZHQgZFJOFLdXhqG7cwxPRER2z2LC09q1azFjxgzMnTsXhw8fRmRkJOLj45GdnV1v+z179mDs2LGYPHkyjhw5goSEBCQkJCAlJQUAUFpaisOHD+ONN97A4cOH8cMPP+DMmTN46KGHGlXfyGgO2dmz0NqVxs9wuQIiIrsnEQTBImbAxsTEoHfv3liyZAkAQK/XIygoCFOnTsWsWbPqtB89ejRKSkqwadMm47G+ffsiKioKn3/+eb3vceDAAfTp0wfp6ekIDg6+Y02FhYVQq9UY+ek2rHtxUCM/GdmCpFNZmLzyILpoXLF1+j1il0NERLdh+PtdUFAANze3Zj+/RfQ8VVZW4tChQ4iLizMek0qliIuLQ3Jycr2vSU5ONmkPAPHx8bdsDwAFBQWQSCRwd3ev9/mKigoUFhaaPADgkZ5cnsDeGYbtLuSUoEqnF7kaIiISk0WEp9zcXOh0Ovj6mm626+vrC61WW+9rtFqtWe3Ly8vx2muvYezYsbdMoQsXLoRarTY+goJqhuoGdeUmwPYuwN0Rjg4yVOr0SM8rEbscIiISkUWEp5ZWVVWFUaNGQRAELFu27JbtZs+ejYKCAuMjM7NmVXFuAkxSqQSdfA133HHeExGRPbOI8OTl5QWZTIasrCyT41lZWdBoNPW+RqPRNKi9ITilp6cjMTHxtmOfSqUSbm5uJg8ig7/2uOMdd0RE9swiwpNCoUB0dDSSkpKMx/R6PZKSkhAbG1vva2JjY03aA0BiYqJJe0NwOnfuHLZt2wZPT8+W+QBkF/7qeWJ4IiKyZ3KxCzCYMWMGJkyYgF69eqFPnz745JNPUFJSgkmTJgEAxo8fj4CAACxcuBAAMG3aNAwYMACLFi3CsGHDsGbNGhw8eBDLly8HUBOcRo4cicOHD2PTpk3Q6XTG+VAeHh5QKLjNCpmnk7HnicN2RET2zGLC0+jRo5GTk4M333wTWq0WUVFR2Lp1q3FSeEZGBqTSvzrK+vXrh9WrV+P111/HnDlzEBoaig0bNiA8PBwAcPnyZfz4448AgKioKJP32rFjBwYOHNgqn4tshyE8XcwtQUW1Dko558IREdkji1nnyRK19DoRZF0EQUD3eb+iqKIaW6ffjS4a/k4QEVkiu1jnicgaSCQS40rjHLojIrJfDE9EZuAed0RExPBEZAbDcgVntAxPRET2iuGJyAydDT1P2Ry2IyKyVwxPRGYwrPWUnleC8iqdyNUQEZEYGJ6IzODtqoTa0QF6ATjP3iciIrvE8ERkBolEcsPQHec9ERHZI4YnIjNxuQIiIvvG8ERkps4a3nFHRGTPGJ6IzGRYWZzhiYjIPjE8EZnJ0PN0Ob8MBWVVIldDREStjeGJyExqRwcEuDsCYO8TEZE9YngiaoQutb1Pp7WFIldCREStjeGJqBG6+NWEp1NX2fNERGRvGJ6IGsEwaZw9T0RE9ofhiagRuvr9tVyBXi+IXA0REbUmhieiRgjxdIZCLkVppQ6Z10vFLoeIiFoRwxNRI8hlUuMmwZz3RERkXxieiBqJ856IiOwTwxNRIxmXK2DPExGRXWF4Imqkrn7seSIiskcMT0SNZOh5Sr9WipKKapGrISKi1sLwRNRIni5KeLsqIQjA2SwO3RER2QuGJ6Im+GubFoYnIiJ7wfBE1ATGeU9XOe+JiMheMDwRNYGh5+kUe56IiOwGwxNRExjXerpaCEHgNi1ERPaA4YmoCTr4OEMulaCwvBpXC8rFLoeIiFoBwxNREyjlMnTwrtmmhes9ERHZB4Ynoibq4lc774krjRMR2QWGJ6Im+muPO4YnIiJ7wPBE1ESGnicuV0BEZB8YnoiaqGttz9OF3BKUV+lEroaIiFoawxNRE/m6KeHu5ACdXsD57GKxyyEiohbG8ETURBKJhNu0EBHZEYYnomZgmDR+ivOeiIhsHsMTUTMI82N4IiKyFwxPRM0gzL8mPJ24wm1aiIhsHcMTUTMI9XWBXCpBQVkVLueXiV0OERG1IIYnomaglMsQ6lszafzEFQ7dERHZMoYnombS7YahOyIisl0MT0TNxBieLheIXAkREbUkhieiZtLNXw2APU9ERLaO4YmomXSt3eNOW1iOvOIKkashIqKWwvBE1ExcVQ4I8XQCwN4nIiJbxvBE1Iw4dEdEZPsYnoia0V+LZXLSOBGRrWJ4ImpGhjvuTrLniYjIZjE8ETUjw7BdWl4JiiuqRa6GiIhaAsMTUTPydlXC100JQeAmwUREtorhiaiZRQS4AwCOXeK8JyIiW8TwRNTMugfWDN0dv5QvbiFERNQiGJ6ImllEbXg6xm1aiIhsEsMTUTOLCKgJTxdySlBUXiVyNURE1NwYnoiamZeLEgHujgC4WCYRkS1ieCJqAeEBNes9HeekcSIim8PwRNQCuge6A+C8JyIiW8TwRNQCDPOeeMcdEZHtYXgiagGG8HQxrxQFZZw0TkRkSxieiFpAG2cFgjxqJ41z6I6IyKYwPBG1kO6GlcYZnoiIbArDE1ELMSyW+WdmvriFEBFRs2J4ImohkbV33B1leCIisikMT0QtpHugGlIJcLWgHFmF5WKXQ0REzYThiaiFOCvl6OTrCgA4kpEvbjFERNRsGJ6IWlCP4DYAgCOZ10WuhIiImgvDE1EL6hHkDgA4yp4nIiKbYTHhaenSpQgJCYFKpUJMTAz2799/2/br1q1Dly5doFKpEBERgc2bN5s8/8MPP2Dw4MHw9PSERCLB0aNHW7B6ovpFBbsDAI5fLkC1Ti9uMURE1CwsIjytXbsWM2bMwNy5c3H48GFERkYiPj4e2dnZ9bbfs2cPxo4di8mTJ+PIkSNISEhAQkICUlJSjG1KSkpw11134f3332+tj0FUR0dvF7gq5Sit1OFsVrHY5RARUTOQCIIgiF1ETEwMevfujSVLlgAA9Ho9goKCMHXqVMyaNatO+9GjR6OkpASbNm0yHuvbty+ioqLw+eefm7S9ePEi2rVrhyNHjiAqKsqsugoLC6FWq1FQUAA3NzfzPxgRgHH/3Ys/zudhwcMReDwmWOxyiIhsXkv//Ra956myshKHDh1CXFyc8ZhUKkVcXBySk5PrfU1ycrJJewCIj4+/ZfuGqqioQGFhocmDqKl6BNVOGs/gpHEiIlsgenjKzc2FTqeDr6+vyXFfX19otdp6X6PVas1q31ALFy6EWq02PoKCgpp0PiIAiDJMGudimURENkH08GRJZs+ejYKCAuMjMzNT7JLIBhgmjZ/PKUZheZW4xRARUZOJHp68vLwgk8mQlZVlcjwrKwsajabe12g0GrPaN5RSqYSbm5vJg6ipvFyUCPZwgiBwsUwiIlsgenhSKBSIjo5GUlKS8Zher0dSUhJiY2PrfU1sbKxJewBITEy8ZXsisfUKqZn3dPDiNZErISKippKLXQAAzJgxAxMmTECvXr3Qp08ffPLJJygpKcGkSZMAAOPHj0dAQAAWLlwIAJg2bRoGDBiARYsWYdiwYVizZg0OHjyI5cuXG8957do1ZGRk4MqVKwCAM2fOAKjptWpqDxWRuXqHeOCHw5dx8CInjRMRWTuLCE+jR49GTk4O3nzzTWi1WkRFRWHr1q3GSeEZGRmQSv/qJOvXrx9Wr16N119/HXPmzEFoaCg2bNiA8PBwY5sff/zRGL4AYMyYMQCAuXPnYt68ea3zwYhq9Q75a5uWKp0eDjLRO32JiKiRLGKdJ0vFdZ6ouej1Anq+k4j80ipseL6/8Q48IiJqfja/zhORPZBKJejVlvOeiIhsAcMTUSvpFeIBADjA8EREZNUYnohaSW/jHXfXwdFyIiLrxfBE1ErCA9RQyKXIK6nExbxSscshIqJGYngiaiVKuQyRgWoAHLojIrJmDE9Ercgw72l/GsMTEZG1YngiakUx7WrC094LeSJXQkREjcXwRNSKeod4QC6V4NL1MmRe47wnIiJrxPBE1IqclXJE1i6QmZzK3iciImvE8ETUymLbewIAkjl0R0RklRieiFpZvw414WlPai7XeyIiskIMT0StrGfbNlDIpMgqrEBabonY5RARkZkYnohamcpBhh7B7gCAPZz3RERkdRieiETQr4MXAM57IiKyRgxPRCKIrZ33tDc1j/OeiIisDMMTkQiigtzh6CBDXkklTl0tErscIiIyA8MTkQgUcqmx92nXuRyRqyEiInMwPBGJZEAnbwDAzjMMT0RE1oThiUgkhvB0MP0aiiuqRa6GiIgaiuGJSCQhXs5o6+mEKp3ArVqIiKwIwxORiAy9T7+dyRa5EiIiaiiGJyIRDexcO+/pbA6XLCAishIMT0Qi6tveEwqZFJeul+ECt2ohIrIKDE9EInJSyNGnnQcA4DfedUdEZBUYnohEZhi62346S+RKiIioIRieiER2f5gvAGDvhWvIL60UuRoiIroThicikbX1dEYXjSt0egFJp3jXHRGRpWN4IrIAg7tpAAC/ntSKXAkREd0JwxORBRhcO3S382wOyip1IldDRES3w/BEZAG6+bshwN0R5VV6bhRMRGThGJ6ILIBEIkG8YejuBO+6IyKyZAxPRBYivlvN0F3S6SxU6fQiV0NERLfC8ERkIXqFeMDLRYH80irsPp8rdjlERHQLDE9EFkImleDB7v4AgI1HLotcDRER3QrDE5EFSegRAAD45UQWSiqqRa6GiIjqw/BEZEEiA9UI8XRCWZUOiSc5cZyIyBIxPBFZEIlEghFRNb1P6zl0R0RkkRieiCyMYehu9/lc5BRViFwNERHdjOGJyMK083JGZJA7dHoBP/15RexyiIjoJgxPRBbokdrep7UHMiEIgsjVEBHRjRieiCxQQo8AODrIcCarCAfTr4tdDhER3YDhicgCqR0d8FBkzZpP3+5NF7kaIiK6EcMTkYX6W9+2AIAtx7XIK+bEcSIiS8HwRGShIgLViAxUo1Knx/8dvCR2OUREVIvhiciCjYup6X1avT8dOj0njhMRWQKGJyILNjzSH2pHB2ReK8MvJ7Ril0NERGB4IrJojgoZJvQLAQAs3XGeyxYQEVkAhiciCzepXwicFDKcuFKInWdzxC6HiMjuMTwRWbg2zgo83icYAPCvHakiV0NERAxPRFbgqbvbQyGTYv/Fa9ifdk3scoiI7BrDE5EV0KhVeDQ6EADw0S9nOPeJiEhEDE9EVmLqfR2hlNf0Pv1yIkvscoiI7BbDE5GV8Hd3xDP3tAcALNxyCpXVepErIiKyTwxPRFbk2QEd4O2qRHpeKb5Ovih2OUREdonhiciKOCvleHlwJwDAP5POIbuwXOSKiIjsD8MTkZUZGR2EiAA1CsurMWf9cU4eJyJqZQxPRFZGJpXgo8ci4SCTYNupbKw/clnskoiI7ArDE5EV6qxxxfS4muG7uT+egLaAw3dERK2F4YnISv39nvaIDHJHUXk1Xlh9GBXVOrFLIiKyCwxPRFZKLpPik9FRcFXJcTD9OuZuPMH5T0RErYDhiciKtfNyxpLHe0IqAdYcyMTKPRfFLomIyOYxPBFZuQGdvDF7aFcAwNubTuKHw5dEroiIyLYxPBHZgKfubodxMcHQC8DMdX9i3cFMsUsiIrJZDE9ENkAikWD+iHD8rW8wBAF49X/H8N/fL3AOFBFRC2B4IrIRUmlNgJrYLwSCALzz8ylM/e4ISiurxS6NiMimMDwR2RCJRIK5w8Mwb3gY5FIJNh27iuGf7cbeC3lil0ZEZDMYnohsjEQiwcT+7fDdM33h46pEak4Jxizfi5n/9yeuFpSJXR4RkdWzqPC0dOlShISEQKVSISYmBvv3779t+3Xr1qFLly5QqVSIiIjA5s2bTZ4XBAFvvvkm/Pz84OjoiLi4OJw7d64lPwKRxegd4oHElwbg8ZhgSCTA/w5fwj0f7MAr6/7E2awiscsjIrJaFhOe1q5dixkzZmDu3Lk4fPgwIiMjER8fj+zs7Hrb79mzB2PHjsXkyZNx5MgRJCQkICEhASkpKcY2H3zwAf75z3/i888/x759++Ds7Iz4+HiUl3MrC7IPaicHLHg4Aj881w9923ugSidg3aFLGPzxLjzw6e/4985UnM0q4sRyIiIzSAQL+bdmTEwMevfujSVLlgAA9Ho9goKCMHXqVMyaNatO+9GjR6OkpASbNm0yHuvbty+ioqLw+eefQxAE+Pv7Y+bMmXj55ZcBAAUFBfD19cWKFSswZsyYO9ZUWFgItVqNgoICuLm5NdMnJRLP4Yzr+PfOVCSdyka1/q//63u7KtE7pA3C/NzQ1c8NgW2coFGr4KaSQyKRiFgxEZH5Wvrvt7zZz9gIlZWVOHToEGbPnm08JpVKERcXh+Tk5Hpfk5ycjBkzZpgci4+Px4YNGwAAaWlp0Gq1iIuLMz6vVqsRExOD5OTkBoUnIlvTM7gN/v1EL1wvqcTPx6/ilxNaHLh4DTlFFdh8XIvNx7Um7Z0VMmjUKmjUKrgqHeCslMNFKYOzUg5npRxyqQQyqQRyqQRymdT4s4NMipsz180hTGLy3E1tb3i27nO3fh0REQCUFLfs1ASLCE+5ubnQ6XTw9fU1Oe7r64vTp0/X+xqtVltve61Wa3zecOxWbW5WUVGBiooK488FBQUAahIskS2RAXgorA0eCmuDimodjmUWIOVKPk5fLcL5nBJoC8pQUFaNogqgqKgI57hoORFZEX1FKQC02JQEiwhPlmLhwoV466236hwPCgoSoRoiIiJqiry8PKjV6mY/r0WEJy8vL8hkMmRlZZkcz8rKgkajqfc1Go3mtu0N/5uVlQU/Pz+TNlFRUfWec/bs2SZDgfn5+Wjbti0yMjJa5MunhissLERQUBAyMzM5/0xkvBaWhdfDcvBaWI6CggIEBwfDw8OjRc5vEeFJoVAgOjoaSUlJSEhIAFAzYTwpKQkvvPBCva+JjY1FUlISpk+fbjyWmJiI2NhYAEC7du2g0WiQlJRkDEuFhYXYt28fnnvuuXrPqVQqoVQq6xxXq9X8P4KFcHNz47WwELwWloXXw3LwWlgOqbRlFhWwiPAEADNmzMCECRPQq1cv9OnTB5988glKSkowadIkAMD48eMREBCAhQsXAgCmTZuGAQMGYNGiRRg2bBjWrFmDgwcPYvny5QBqJqdOnz4d77zzDkJDQ9GuXTu88cYb8Pf3NwY0IiIiInNZTHgaPXo0cnJy8Oabb0Kr1SIqKgpbt241TvjOyMgwSZD9+vXD6tWr8frrr2POnDkIDQ3Fhg0bEB4ebmzz6quvoqSkBM888wzy8/Nx1113YevWrVCpVK3++YiIiMg2WMw6T5aooqICCxcuxOzZs+sdzqPWw2thOXgtLAuvh+XgtbAcLX0tGJ6IiIiIzGAx27MQERERWQOGJyIiIiIzMDwRERERmYHhiYiIiMgMDE+3sXTpUoSEhEClUiEmJgb79+8XuySbtnDhQvTu3Ruurq7w8fFBQkICzpw5Y9KmvLwczz//PDw9PeHi4oJHH320zkrz1Pzee+8949ppBrwWrevy5cv429/+Bk9PTzg6OiIiIgIHDx40Pi8IAt588034+fnB0dERcXFxOHfunIgV2yadToc33ngD7dq1g6OjIzp06ID58+eb7KHGa9Eydu3aheHDh8Pf3x8SiQQbNmwweb4h3/u1a9cwbtw4uLm5wd3dHZMnT0ZxcbHZtTA83cLatWsxY8YMzJ07F4cPH0ZkZCTi4+ORnZ0tdmk2a+fOnXj++eexd+9eJCYmoqqqCoMHD0ZJSYmxzUsvvYSffvoJ69atw86dO3HlyhU88sgjIlZt+w4cOIB///vf6N69u8lxXovWc/36dfTv3x8ODg7YsmULTp48iUWLFqFNmzbGNh988AH++c9/4vPPP8e+ffvg7OyM+Ph4lJeXi1i57Xn//fexbNkyLFmyBKdOncL777+PDz74AJ999pmxDa9FyygpKUFkZCSWLl1a7/MN+d7HjRuHEydOIDExEZs2bcKuXbvwzDPPmF+MQPXq06eP8Pzzzxt/1ul0gr+/v7Bw4UIRq7Iv2dnZAgBh586dgiAIQn5+vuDg4CCsW7fO2ObUqVMCACE5OVmsMm1aUVGREBoaKiQmJgoDBgwQpk2bJggCr0Vre+2114S77rrrls/r9XpBo9EIH374ofFYfn6+oFQqhe+++641SrQbw4YNE5588kmTY4888ogwbtw4QRB4LVoLAGH9+vXGnxvyvZ88eVIAIBw4cMDYZsuWLYJEIhEuX75s1vuz56kelZWVOHToEOLi4ozHpFIp4uLikJycLGJl9qWgoAAAjBs7Hjp0CFVVVSbXpUuXLggODuZ1aSHPP/88hg0bZvKdA7wWre3HH39Er1698Nhjj8HHxwc9evTAf/7zH+PzaWlp0Gq1JtdDrVYjJiaG16OZ9evXD0lJSTh79iwA4M8//8Tu3bsxdOhQALwWYmnI956cnAx3d3f06tXL2CYuLg5SqRT79u0z6/0sZnsWS5KbmwudTmfcGsbA19cXp0+fFqkq+6LX6zF9+nT079/fuOWOVquFQqGAu7u7SVtfX19otVoRqrRta9asweHDh3HgwIE6z/FatK4LFy5g2bJlmDFjBubMmYMDBw7gxRdfhEKhwIQJE4zfeX3/zuL1aF6zZs1CYWEhunTpAplMBp1Oh3fffRfjxo0DAF4LkTTke9dqtfDx8TF5Xi6Xw8PDw+xrw/BEFun5559HSkoKdu/eLXYpdikzMxPTpk1DYmIi94K0AHq9Hr169cKCBQsAAD169EBKSgo+//xzTJgwQeTq7Mv//d//YdWqVVi9ejW6deuGo0ePYvr06fD39+e1sCMctquHl5cXZDJZnTuHsrKyoNFoRKrKfrzwwgvYtGkTduzYgcDAQONxjUaDyspK5Ofnm7TndWl+hw4dQnZ2Nnr27Am5XA65XI6dO3fin//8J+RyOXx9fXktWpGfnx/CwsJMjnXt2hUZGRkAYPzO+e+slvfKK69g1qxZGDNmDCIiIvDEE0/gpZdewsKFCwHwWoilId+7RqOpc9NXdXU1rl27Zva1YXiqh0KhQHR0NJKSkozH9Ho9kpKSEBsbK2Jltk0QBLzwwgtYv349tm/fjnbt2pk8Hx0dDQcHB5PrcubMGWRkZPC6NLNBgwbh+PHjOHr0qPHRq1cvjBs3zvjPvBatp3///nWW7Th79izatm0LAGjXrh00Go3J9SgsLMS+fft4PZpZaWkppFLTP50ymQx6vR4Ar4VYGvK9x8bGIj8/H4cOHTK22b59O/R6PWJiYsx7wyZNd7dha9asEZRKpbBixQrh5MmTwjPPPCO4u7sLWq1W7NJs1nPPPSeo1Wrht99+E65evWp8lJaWGts8++yzQnBwsLB9+3bh4MGDQmxsrBAbGyti1fbjxrvtBIHXojXt379fkMvlwrvvviucO3dOWLVqleDk5CR8++23xjbvvfee4O7uLmzcuFE4duyYMGLECKFdu3ZCWVmZiJXbngkTJggBAQHCpk2bhLS0NOGHH34QvLy8hFdffdXYhteiZRQVFQlHjhwRjhw5IgAQFi9eLBw5ckRIT08XBKFh3/uQIUOEHj16CPv27RN2794thIaGCmPHjjW7Foan2/jss8+E4OBgQaFQCH369BH27t0rdkk2DUC9j6+++srYpqysTJgyZYrQpk0bwcnJSXj44YeFq1evile0Hbk5PPFatK6ffvpJCA8PF5RKpdClSxdh+fLlJs/r9XrhjTfeEHx9fQWlUikMGjRIOHPmjEjV2q7CwkJh2rRpQnBwsKBSqYT27dsL//jHP4SKigpjG16LlrFjx456/0ZMmDBBEISGfe95eXnC2LFjBRcXF8HNzU2YNGmSUFRUZHYtEkG4YVlUIiIiIrotznkiIiIiMgPDExEREZEZGJ6IiIiIzMDwRERERGQGhiciIiIiMzA8EREREZmB4YmIiIjIDAxPRERERGZgeCIiuzRw4EBMnz5d7DKIyAoxPBERERGZgduzEJHdmThxIlauXGlyLC0tDSEhIeIURERWheGJiOxOQUEBhg4divDwcLz99tsAAG9vb8hkMpErIyJrIBe7ACKi1qZWq6FQKODk5ASNRiN2OURkZTjniYiIiMgMDE9EREREZmB4IiK7pFAooNPpxC6DiKwQwxMR2aWQkBDs27cPFy9eRG5uLvR6vdglEZGVYHgiIrv08ssvQyaTISwsDN7e3sjIyBC7JCKyElyqgIiIiMgM7HkiIiIiMgPDExEREZEZGJ6IiIiIzMDwRERERGQGhiciIiIiMzA8EREREZmB4YmIiIjIDAxPRERERGZgeCIiIiIyA8MTERERkRkYnoiIiIjMwPBEREREZIb/B/OoIVg4Q73eAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = Gompertz(shape=0.2, rate=0.1)\n",
    "model.plot.pdf(end_time=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d118c483-1697-4e38-8712-020596b60339",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[3.11636797 4.10385822 8.61449029]\n"
     ]
    }
   ],
   "source": [
    "ar_policy = AgeReplacementPolicy(model, cf=cf, cp=cp, a0=a0, discounting_rate=discounting_rate).optimize()\n",
    "optimal_ar = ar_policy.ar\n",
    "print(optimal_ar)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "28754866-4232-4ffb-b1ad-3829e545b31a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "asymptotic expected equivalent annual cost with optimal ar : 0.22\n"
     ]
    }
   ],
   "source": [
    "cf = 5\n",
    "cp = 1\n",
    "discounting_rate = 0.05\n",
    "ar = np.arange(1, 100, 0.1)\n",
    "nb_assets = ar.shape[0]\n",
    "\n",
    "parametrized_ar_policy = AgeReplacementPolicy(model, cf=cf, cp=cp, ar=ar, discounting_rate=discounting_rate)\n",
    "za = parametrized_ar_policy.asymptotic_expected_equivalent_annual_cost()\n",
    "\n",
    "ar_policy = AgeReplacementPolicy(model, cf=cf, cp=cp, discounting_rate=discounting_rate).optimize()\n",
    "ar_opt = ar_policy.ar  # optimal ar\n",
    "za_opt = ar_policy.asymptotic_expected_equivalent_annual_cost()\n",
    "plt.plot(ar, za)\n",
    "plt.scatter(ar_opt, za_opt, label=f\" cf={cf} k€, ar={np.round(ar_opt, 2).item()} years\")\n",
    "plt.xlabel(\"Age of preventive replacement [years]\")\n",
    "plt.ylabel(\"Asymptotic expected equivalent annual cost [k€]\")\n",
    "plt.legend()\n",
    "plt.show()\n",
    "print(\"asymptotic expected equivalent annual cost with optimal ar :\", np.round(za_opt, 2))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35e5e8bb-8bf8-4249-bad4-797961aa15b5",
   "metadata": {},
   "source": [
    "## Consequences with optimal age replacement"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "da17af06-f1e7-44da-8382-0b74eaac6489",
   "metadata": {},
   "outputs": [],
   "source": [
    "nb_years=100\n",
    "timeline, total_cost = ar_policy.expected_total_cost(nb_years, nb_steps=nb_years)\n",
    "total_cost_per_year = np.diff(total_cost, prepend=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "296a6d9d-0220-487c-96a4-7d8a942c9c4d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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0kL/77rv1+uuvS5LOnDmjqKgo3X333erRo4dWrVrl9AIBAAAAAMCvTAf5L7/8Uv369ZMk/fOf/5RhGCosLNSCBQs0e/ZspxcIAAAAAAB+ZTrInzp1Sq1bt5Ykpaamavjw4fLx8dHgwYO1b98+pxcIAAAAAAB+ZTrIBwcHKyMjQyUlJUpNTdXAgQMlST/99BPvkQcAAAAAoI45vGr9BZMmTdI999yj5s2b66qrrtJNN90k6fwt9z169HB2fQAAAAAA4L+YDvKPPPKIoqOjdfjwYd1yyy1yczt/Ub9jx448Iw8AAAAAQB0zHeQlKSoqSlFRUTIMQ4ZhyGKxaPDgwc6uDQAAAAAA/IbpZ+Qlafny5erRo4e8vb3l7e2t8PBw/fWvf3V2bQAAAAAA4DdMX5GfP3++pk2bpgkTJuj666+XJH399dd66KGHlJeXpyeeeMLpRQIAAAAAgPNMB/nXXntNixYt0pgxY2xtt99+u6655ho9//zzBHkAAAAAAOqQ6Vvrjx8/ruuuu65C+3XXXafjx487pSgAAAAAAFA500E+LCxMf//73yu0r1y5Up07d65VEQsXLlRISIi8vLwUExOjTZs2Vdn3H//4h6KiotSyZUs1a9ZMERERFZ7PNwxDiYmJatu2rby9vRUbG6t9+/bVqjYAAAAAABoT07fWz5gxQyNGjNCXX35pe0Z+48aNSktLqzTg12TlypVKSEhQSkqKYmJilJycrLi4OGVlZSkgIKBC/9atW+tPf/qTunTpIg8PD3388ceKj49XQECA4uLiJElz5szRggULtGzZMoWGhmratGmKi4vT7t275eXlZbpGAAAAAAAaC9NX5IcPH67MzEz5+/tr9erVWr16tfz9/bVp0ybdeeedpguYP3++xo8fr/j4eHXr1k0pKSny8fHRkiVLKu1/00036c4771TXrl3VqVMnTZw4UeHh4fr6668lnb8an5ycrOeee0533HGHwsPDtXz5ch07dkyrV682XR8AAAAAAI1Jrd4jHxkZqXffffeif7ysrExbtmzR1KlTbW1ubm6KjY1VRkZGjd83DEPr169XVlaWXnrpJUnSwYMHlZOTo9jYWFs/Pz8/xcTEKCMjQyNHjqwwTmlpqUpLS22fi4qKLuawAAAAAACoM6avyH/66adas2ZNhfY1a9bos88+MzVWXl6eysvLFRgYaNceGBionJycKr936tQpNW/eXB4eHho8eLBee+013XLLLZJk+56ZMZOSkuTn52fbgoODTR0HAAAAAAD1xXSQnzJlisrLyyu0G4ahKVOmOKWomrRo0ULbt2/Xt99+qz//+c9KSEhQenp6rcebOnWqTp06ZdsOHz7svGIBAAAAAHAi07fW79u3T926davQ3qVLF+3fv9/UWP7+/nJ3d1dubq5de25uroKCgqr8npubm8LCwiRJERER2rNnj5KSknTTTTfZvpebm6u2bdvajRkREVHpeJ6envL09DRVOwAAAAAADcH0FXk/Pz/98MMPFdr379+vZs2amRrLw8NDkZGRSktLs7VZrValpaWpT58+Do9jtVptz7iHhoYqKCjIbsyioiJlZmaaGhMAAAAAgMbI9BX5O+64Q5MmTdI///lPderUSdL5EP/kk0/q9ttvN11AQkKCxo4dq6ioKEVHRys5OVklJSWKj4+XJI0ZM0bt27dXUlKSpPPPs0dFRalTp04qLS3Vp59+qr/+9a9atGiRJMlisWjSpEmaPXu2OnfubHv9XLt27TR06FDT9QEAAAAA0JiYDvJz5szRoEGD1KVLF1155ZWSpCNHjqhfv36aO3eu6QJGjBihkydPKjExUTk5OYqIiFBqaqptsbrs7Gy5uf1640BJSYkeeeQRHTlyRN7e3urSpYveffddjRgxwtZn8uTJKikp0YMPPqjCwkL17dtXqampvEMeAAAAAODyLIZhGGa/ZBiG1q1bp++++07e3t4KDw/XDTfcUBf1NYiioiL5+fnp1KlT8vX1behyUEe2bt2qyMhIBY1NlmdQWKV9SnP2K2fZJG3ZskW9e/eu5woBAAAAXC7M5NBavUfeYrFo4MCBGjhwYK0KBAAAAAAAtWN6sTsAAAAAANBwCPIAAAAAALgQgjwAAAAAAC6EIA8AAAAAgAtxaLG7oqIihwdklXcAAAAAAOqOQ0G+ZcuWslgs1fYxDEMWi0Xl5eVOKQwAAAAAAFTkUJDfsGFDXdcBAAAAAAAc4FCQv/HGG+u6DgAAAAAA4ACHgnxlTp8+rezsbJWVldm1h4eHX3RRAAAAAACgcqaD/MmTJxUfH6/PPvus0v08Iw8AAAAAQN0x/fq5SZMmqbCwUJmZmfL29lZqaqqWLVumzp0761//+ldd1AgAAAAAAP7D9BX59evX63//938VFRUlNzc3XXXVVbrlllvk6+urpKQkDR48uC7qBAAAAAAAqsUV+ZKSEgUEBEiSWrVqpZMnT0qSevTooa1btzq3OgAAAAAAYMd0kL/66quVlZUlSerZs6f+8pe/6OjRo0pJSVHbtm2dXiAAAAAAAPiV6VvrJ06cqOPHj0uSpk+frkGDBum9996Th4eH3nnnHWfXBwAAAAAA/ovpID969Gjb35GRkfrxxx+1d+9edejQQf7+/k4tDgAAAAAA2Kv1e+Qv8PHxUe/evZ1RCwAAAAAAqIHpIH///fdXu3/JkiW1LgYAAAAAAFTPdJD/6aef7D6fO3dOO3fuVGFhofr37++0wgAAAAAAQEWmg/w///nPCm1Wq1UPP/ywOnXq5JSiAAAAAABA5Uy/fq7SQdzclJCQoFdeecUZwwEAAAAAgCo4JchL0oEDB/TLL784azgAAAAAAFAJ07fWJyQk2H02DEPHjx/XJ598orFjxzqtMAAAAAAAUJHpIL9t2za7z25ubrriiis0b968Gle0BwAAAAAAF8d0kN+wYUNd1AEAAAAAABzgtGfkAQAAAABA3TMd5HNzc3XvvfeqXbt2atKkidzd3e02AAAAAABQd0zfWn/fffcpOztb06ZNU9u2bWWxWOqiLgAAAAAAUAnTQf7rr7/WV199pYiIiDooBwAAAAAAVMf0rfXBwcEyDKMuagEAAAAAADUwHeSTk5M1ZcoUHTp0qA7KAQAAAAAA1TF9a/2IESN0+vRpderUST4+PmratKnd/oKCAqcVBwAAAAAA7JkO8snJyU4vYuHChXr55ZeVk5Ojnj176rXXXlN0dHSlfd98800tX75cO3fulCRFRkbqhRdesOt/3333admyZXbfi4uLU2pqqtNrBwAAAACgPpkO8mPHjnVqAStXrlRCQoJSUlIUExOj5ORkxcXFKSsrSwEBARX6p6ena9SoUbruuuvk5eWll156SQMHDtSuXbvUvn17W79BgwZp6dKlts+enp5OrRsAAAAAgIZgOshLktVq1f79+3XixAlZrVa7fTfccIOpsebPn6/x48crPj5ekpSSkqJPPvlES5Ys0ZQpUyr0f++99+w+v/XWW1q1apXS0tI0ZswYW7unp6eCgoJM1QIAAAAAQGNnOsh/8803+uMf/6gff/yxwur1FotF5eXlDo9VVlamLVu2aOrUqbY2Nzc3xcbGKiMjw6ExTp8+rXPnzql169Z27enp6QoICFCrVq3Uv39/zZ49W23atKl0jNLSUpWWlto+FxUVOXwMAAAAAADUJ9Or1j/00EOKiorSzp07VVBQoJ9++sm2mV3oLi8vT+Xl5QoMDLRrDwwMVE5OjkNjPPPMM2rXrp1iY2NtbYMGDdLy5cuVlpaml156SV988YVuvfXWKk8yJCUlyc/Pz7YFBwebOg4AAAAAAOqL6Svy+/bt04cffqiwsLC6qMeUF198Ue+//77S09Pl5eVlax85cqTt7x49eig8PFydOnVSenq6BgwYUGGcqVOnKiEhwfa5qKiIMA8AAAAAaJRMX5GPiYnR/v37nfLj/v7+cnd3V25url17bm5ujc+3z507Vy+++KLWrl2r8PDwavt27NhR/v7+Vdbt6ekpX19fuw0AAAAAgMbI9BX5xx57TE8++aRycnLUo0ePCu+RrylU/zcPDw9FRkYqLS1NQ4cOlXR+Ib20tDRNmDChyu/NmTNHf/7zn7VmzRpFRUXV+DtHjhxRfn6+2rZt63BtAAAAAAA0RqaD/PDhwyVJ999/v63NYrHIMAzTi91JUkJCgsaOHauoqChFR0crOTlZJSUltlXsx4wZo/bt2yspKUmS9NJLLykxMVErVqxQSEiI7Vn65s2bq3nz5iouLtaMGTM0fPhwBQUF6cCBA5o8ebLCwsIUFxdn9nABAAAAAGhUTAf5gwcPOrWAESNG6OTJk0pMTFROTo4iIiKUmppqWwAvOztbbm6/PgGwaNEilZWV6Q9/+IPdONOnT9fzzz8vd3d37dixQ8uWLVNhYaHatWungQMHatasWbxLHgAAAADg8kwH+auuusrpRUyYMKHKW+nT09PtPh86dKjasby9vbVmzRonVQYAAAAAQONiOshfsHv3bmVnZ6usrMyu/fbbb7/oogAAAAAAQOVMB/kffvhBd955p77//nvbs/HS+efkJZl+Rh4AAAAAADjO9OvnJk6cqNDQUJ04cUI+Pj7atWuXvvzyS0VFRVW4DR4AAAAAADiX6SvyGRkZWr9+vfz9/eXm5iY3Nzf17dtXSUlJevzxx7Vt27a6qBMAAAAAAKgWV+TLy8vVokULSZK/v7+OHTsm6fwieFlZWc6tDgAAAAAA2DF9Rb579+767rvvFBoaqpiYGM2ZM0ceHh5avHixOnbsWBc1AgAAAACA/zAd5J977jmVlJRIkmbOnKkhQ4aoX79+atOmjVauXOn0AgEAAAAAwK9MB/m4uDjb32FhYdq7d68KCgrUqlUr28r1AAAAAACgbtT6PfL/rXXr1s4YBgAAAAAA1MD0YncAAAAAAKDhEOQBAAAAAHAhBHkAAAAAAFwIQR4AAAAAABfi0GJ3//rXvxwe8Pbbb691MQAAAAAAoHoOBfmhQ4fafbZYLDIMw+7zBeXl5c6pDAAAAAAAVODQrfVWq9W2rV27VhEREfrss89UWFiowsJCffrpp+rdu7dSU1Prul4AAAAAAC5rpt8jP2nSJKWkpKhv3762tri4OPn4+OjBBx/Unj17nFogAAAAAAD4lenF7g4cOKCWLVtWaPfz89OhQ4ecUBIAAAAAAKiK6SB/7bXXKiEhQbm5uba23NxcPf3004qOjnZqcQAAAAAAwJ7pIL9kyRIdP35cHTp0UFhYmMLCwtShQwcdPXpUb7/9dl3UCAAAAAAA/sP0M/JhYWHasWOH1q1bp71790qSunbtqtjYWLvV6wEAAAAAgPOZDvLS+dfNDRw4UDfccIM8PT0J8AAAAAAA1BPTt9ZbrVbNmjVL7du3V/PmzXXw4EFJ0rRp07i1HgAAAACAOmY6yM+ePVvvvPOO5syZIw8PD1t79+7d9dZbbzm1OAAAAAAAYM90kF++fLkWL16se+65R+7u7rb2nj172p6ZBwAAAAAAdcN0kD969KjCwsIqtFutVp07d84pRQEAAAAAgMqZDvLdunXTV199VaH9ww8/VK9evZxSFAAAAAAAqJzpVesTExM1duxYHT16VFarVf/4xz+UlZWl5cuX6+OPP66LGgEAAAAAwH+YviJ/xx136KOPPtLnn3+uZs2aKTExUXv27NFHH32kW265pS5qBAAAAAAA/1Gr98j369dP69atc3YtAAAAAACgBqavyHfs2FH5+fkV2gsLC9WxY0enFAUAAAAAACpnOsgfOnRI5eXlFdpLS0t19OhRpxQFAAAAAAAq5/Ct9f/6179sf69Zs0Z+fn62z+Xl5UpLS1NISIhTiwMAAAAAAPYcviI/dOhQDR06VBaLRWPHjrV9Hjp0qEaOHKl169Zp3rx5tSpi4cKFCgkJkZeXl2JiYrRp06Yq+7755pvq16+fWrVqpVatWik2NrZCf8MwlJiYqLZt28rb21uxsbHat29frWoDAAAAAKAxcTjIW61WWa1WdejQQSdOnLB9tlqtKi0tVVZWloYMGWK6gJUrVyohIUHTp0/X1q1b1bNnT8XFxenEiROV9k9PT9eoUaO0YcMGZWRkKDg4WAMHDrS7rX/OnDlasGCBUlJSlJmZqWbNmikuLk5nz541XR8AAAAAAI2J6WfkDx48KH9/f6cVMH/+fI0fP17x8fHq1q2bUlJS5OPjoyVLllTa/7333tMjjzyiiIgIdenSRW+99ZasVqvS0tIknb8an5ycrOeee0533HGHwsPDtXz5ch07dkyrV692Wt0AAAAAADSEWr1+Li0tTWlpabYr8/+tqgBembKyMm3ZskVTp061tbm5uSk2NlYZGRkOjXH69GmdO3dOrVu3lnT+RENOTo5iY2Ntffz8/BQTE6OMjAyNHDnS4foAAAAAAGhsTAf5GTNmaObMmYqKilLbtm1lsVhq/eN5eXkqLy9XYGCgXXtgYKD27t3r0BjPPPOM2rVrZwvuOTk5tjF+O+aFfb9VWlqq0tJS2+eioiKHjwEAAAAAgPpkOsinpKTonXfe0b333lsX9Zjy4osv6v3331d6erq8vLxqPU5SUpJmzJjhxMoAAAAAAKgbpp+RLysr03XXXeeUH/f395e7u7tyc3Pt2nNzcxUUFFTtd+fOnasXX3xRa9euVXh4uK39wvfMjDl16lSdOnXKth0+fLg2hwMAAAAAQJ0zHeQfeOABrVixwik/7uHhocjISNtCdZJsC9f16dOnyu/NmTNHs2bNUmpqqqKiouz2hYaGKigoyG7MoqIiZWZmVjmmp6enfH197TYAAAAAABoj07fWnz17VosXL9bnn3+u8PBwNW3a1G7//PnzTY2XkJCgsWPHKioqStHR0UpOTlZJSYni4+MlSWPGjFH79u2VlJQkSXrppZeUmJioFStWKCQkxPbce/PmzdW8eXNZLBZNmjRJs2fPVufOnRUaGqpp06apXbt2Gjp0qNnDBQAAAACgUTEd5Hfs2KGIiAhJ0s6dO+321WbhuxEjRujkyZNKTExUTk6OIiIilJqaalusLjs7W25uv944sGjRIpWVlekPf/iD3TjTp0/X888/L0maPHmySkpK9OCDD6qwsFB9+/ZVamrqRT1HDwAAAABAY2AxDMNo6CIam6KiIvn5+enUqVPcZn8J27p1qyIjIxU0NlmeQWGV9inN2a+cZZO0ZcsW9e7du54rBAAAAHC5MJNDTT8jDwAAAAAAGo7pW+tvvvnmam+hX79+/UUVBAAAAAAAqmY6yF94Pv6Cc+fOafv27dq5c6fGjh3rrLoAAAAAAEAlTAf5V155pdL2559/XsXFxRddEAAAAAAAqJrTnpEfPXq0lixZ4qzhAAAAAABAJZwW5DMyMni9GwAAAAAAdcz0rfXDhg2z+2wYho4fP67Nmzdr2rRpTisMAAAAAABUZDrI+/n52X12c3PT1VdfrZkzZ2rgwIFOKwwAAAAAAFRkOsgvXbq0LuoAAAAAAAAOMB3kL9iyZYv27NkjSbrmmmvUq1cvpxUFAAAAAAAqZzrInzhxQiNHjlR6erpatmwpSSosLNTNN9+s999/X1dccYWzawQAAAAAAP9hetX6xx57TD///LN27dqlgoICFRQUaOfOnSoqKtLjjz9eFzUCAAAAAID/MH1FPjU1VZ9//rm6du1qa+vWrZsWLlzIYncAAAAAANQx01fkrVarmjZtWqG9adOmslqtTikKAAAAAABUznSQ79+/vyZOnKhjx47Z2o4ePaonnnhCAwYMcGpxAAAAAADAnukg//rrr6uoqEghISHq1KmTOnXqpNDQUBUVFem1116rixoBAAAAAMB/mH5GPjg4WFu3btXnn3+uvXv3SpK6du2q2NhYpxcHAAAAAADs1eo98haLRbfccotuueUWZ9cDAAAAAACqYfrW+scff1wLFiyo0P76669r0qRJzqgJAAAAAABUwXSQX7Vqla6//voK7dddd50+/PBDpxQFAAAAAAAqZzrI5+fny8/Pr0K7r6+v8vLynFIUAAAAAAConOln5MPCwpSamqoJEybYtX/22Wfq2LGj0woDAEdkZ2fXeBLR399fHTp0qKeKAAAAgLplOsgnJCRowoQJOnnypPr37y9JSktL07x585ScnOzs+gCgStnZ2bq6S1edPXO62n5e3j7K2ruHMA8AAIBLgukgf//996u0tFR//vOfNWvWLElSSEiIFi1apDFjxji9QACoSl5ens6eOa02Q55U0zbBlfY5l39Y+R/PU15eHkEeAAAAl4RavX7u4Ycf1sMPP6yTJ0/K29tbzZs3d3ZdAOCwpm2C5RkU1tBlAAAAAPXC9GJ3Z86c0enT529jveKKK5Sfn6/k5GStXbvW6cUBAAAAAAB7poP8HXfcoeXLl0uSCgsLFR0drXnz5umOO+7QokWLnF4gAAAAAAD4lekgv3XrVvXr10+S9OGHHyooKEg//vijli9frgULFji9QAAAAAAA8CvTQf706dNq0aKFJGnt2rUaNmyY3Nzc9Lvf/U4//vij0wsEAAAAAAC/Mh3kw8LCtHr1ah0+fFhr1qzRwIEDJUknTpyQr6+v0wsEAAAAAAC/Mh3kExMT9dRTTykkJEQxMTHq06ePpPNX53v16uX0AgEAAAAAwK9Mv37uD3/4g/r27avjx4+rZ8+etvYBAwbozjvvdGpxAAAAAADAXq3eIx8UFKSgoCC7tujoaKcUBAAAAAAAquZQkB82bJjeeecd+fr6atiwYdX2/cc//uGUwgAAAAAAQEUOPSPv5+cni8Vi+7u6zayFCxcqJCREXl5eiomJ0aZNm6rsu2vXLg0fPlwhISGyWCxKTk6u0Of555+XxWKx27p06WK6LgAAAAAAGiOHrsgvXbq00r8v1sqVK5WQkKCUlBTFxMQoOTlZcXFxysrKUkBAQIX+p0+fVseOHXXXXXfpiSeeqHLca665Rp9//rntc5MmtXqCAAAAAACARsf0qvXONH/+fI0fP17x8fHq1q2bUlJS5OPjoyVLllTa/9prr9XLL7+skSNHytPTs8pxmzRpYnuOPygoSP7+/nV1CAAAAAAA1CuHLlX36tXLdmt9TbZu3epQv7KyMm3ZskVTp061tbm5uSk2NlYZGRkOjVGVffv2qV27dvLy8lKfPn2UlJSkDh06VNm/tLRUpaWlts9FRUUX9ftoHLKzs5WXl1fl/j179tRjNQAAAADgHA4F+aFDh9r+Pnv2rN544w1169bN9g75b775Rrt27dIjjzzi8A/n5eWpvLxcgYGBdu2BgYHau3evw+P8VkxMjN555x1dffXVOn78uGbMmKF+/fpp586datGiRaXfSUpK0owZM2r9m2h8srOzdXWXrjp75nRDlwIAAAAATuVQkJ8+fbrt7wceeECPP/64Zs2aVaHP4cOHnVtdLdx66622v8PDwxUTE6OrrrpKf//73zVu3LhKvzN16lQlJCTYPhcVFSk4OLjOa0Xt1HSlXTp/tf3smdNqM+RJNW1T+f8tz/ywWae+ercuSgQAAACAOmN6FbgPPvhAmzdvrtA+evRoRUVFVfl8+2/5+/vL3d1dubm5du25ubkV3lF/MVq2bKn/+Z//0f79+6vs4+npWe0z92g8zF5pb9omWJ5BYZXuO5ff8CeeAAAAAMAs00He29tbGzduVOfOne3aN27cKC8vL4fH8fDwUGRkpNLS0my37lutVqWlpWnChAlmy6pScXGxDhw4oHvvvddpY6Lh5OXl1XilXeJqOwAAAIBLl+kgP2nSJD388MPaunWroqOjJUmZmZlasmSJpk2bZmqshIQEjR07VlFRUYqOjlZycrJKSkoUHx8vSRozZozat2+vpKQkSecXyNu9e7ft76NHj2r79u1q3ry5wsLOX3V96qmndNttt+mqq67SsWPHNH36dLm7u2vUqFFmDxUNwNEF6qq70i5xtR0AAADApct0kJ8yZYo6duyoV199Ve++e/6KZ9euXbV06VLdfffdpsYaMWKETp48qcTEROXk5CgiIkKpqam2BfCys7Pl5vbrG/KOHTumXr162T7PnTtXc+fO1Y033qj09HRJ0pEjRzRq1Cjl5+friiuuUN++ffXNN9/oiiuuMHuoqGcsUAcAAAAANTMd5CXp7rvvNh3aqzJhwoQqb6W/EM4vCAkJkWEY1Y73/vvvO6Uu1D9HbpvnlnkAAAAAl7taBXmgNpxx2zy3zAMAAAC43BHkUS+4bR4AAAAAnIMgj3rBbfMAAAAA4BwEeVy0mm6Zl6Tjx49L4rZ5AAAAALhYBHlcFEdvmffw9KqnigAAAADg0uZQkE9ISHB4wPnz59e6GLgeR26ZP5d/WPkfz6vnygAAAADg0uRQkN+2bZvd561bt+qXX37R1VdfLUn6v//7P7m7uysyMtL5FcIlVHfLPAAAAADAeRwK8hs2bLD9PX/+fLVo0ULLli1Tq1atJEk//fST4uPj1a9fv7qpEg3G0VfGAQAAAADqh+ln5OfNm6e1a9faQrwktWrVSrNnz9bAgQP15JNPOrVANBxeGQcAAAAAjY/pIF9UVKSTJ09WaD958qR+/vlnpxSFxoFXxgEAAABA42M6yN95552Kj4/XvHnzFB0dLUnKzMzU008/rWHDhjm9QDQ8XhkHAAAAAI2H6SCfkpKip556Sn/84x917ty584M0aaJx48bp5ZdfdnqBqBuOvPud598BAAAAoPExHeR9fHz0xhtv6OWXX9aBAwckSZ06dVKzZs2cXhzqBs++AwAAAIDrMh3kLzh+/LiOHz+uG264Qd7e3jIMQxaLxZm1oY448uy7xPPvAAAAANAYmQ7y+fn5uvvuu7VhwwZZLBbt27dPHTt21Lhx49SqVSvNmzevLupEHajp3e88/w4AAAAAjY/pIP/EE0+oadOmys7OVteuXW3tI0aMUEJCAkG+EeDd7wAAAABw6TId5NeuXas1a9boyiuvtGvv3LmzfvzxR6cVhtrh+XcAAAAAuLSZDvIlJSXy8fGp0F5QUCBPT0+nFIXa493vAAAAAHBpczP7hX79+mn58uW2zxaLRVarVXPmzNHNN9/s1OJQexeef69sa+IX2NDlAQAAAABqyfQV+Tlz5mjAgAHavHmzysrKNHnyZO3atUsFBQXauHFjXdSI/8Lz7wAAAABweTMd5Lt3767/+7//0+uvv64WLVqouLhYw4YN06OPPqq2bdvWRY34D55/BwAAAACYDvLZ2dkKDg7Wn/70p0r3dejQwSmFoSKefwcAAAAAmA7yoaGhOn78uAICAuza8/PzFRoaqvLycqcVh8pV9/533v0OAAAAAJc204vdGYYhi8VSob24uFheXl5OKQoAAAAAAFTO4SvyCQkJks6vUj9t2jS7V9CVl5crMzNTERERTi/wclHTInYSC9kBAAAAAEwE+W3btkk6f0X++++/l4eHh22fh4eHevbsqaeeesr5FV4GWMQOAAAAAOAoh4P8hg0bJEnx8fF69dVX5evrW2dFXW4cWcROYiE7AAAAAEAtFrtLTk7WL7/8UqG9oKBATZo0IeBfhOoWsZNYyA4AAAAAUIsgP3LkSN1222165JFH7Nr//ve/61//+pc+/fRTpxV3qajp+XeefQcAAAAAOMp0kM/MzNT8+fMrtN90002Vvlv+csfz7wAAAAAAZzId5EtLSyu9tf7cuXM6c+aMU4q6lDjy/DvPvgMAAAAAHGX6PfLR0dFavHhxhfaUlBRFRkY6pahL0YXn3yvbmvgFNnR5AAAAAAAXYfqK/OzZsxUbG6vvvvtOAwYMkCSlpaXp22+/1dq1a51eIAAAAAAA+JXpK/LXX3+9MjIydOWVV+rvf/+7PvroI4WFhWnHjh3q16+f6QIWLlyokJAQeXl5KSYmRps2baqy765duzR8+HCFhITIYrEoOTn5ose8GNnZ2dq6dWu1GwvZAQAAAACcyfQVeUmKiIjQihUrLvrHV65cqYSEBKWkpCgmJkbJycmKi4tTVlaWAgICKvQ/ffq0OnbsqLvuuktPPPGEU8asLRaxAwAAAAA0hFoF+QMHDmjp0qX64YcflJycrICAAH322Wfq0KGDrrnmGofHmT9/vsaPH6/4+HhJ55+z/+STT7RkyRJNmTKlQv9rr71W1157rSRVur82Y9aWI4vYSSxkBwAAAABwLtO31n/xxRfq0aOHMjMztWrVKhUXF0uSvvvuO02fPt3hccrKyrRlyxbFxsb+Woybm2JjY5WRkWG2rIsas7S0VEVFRXabo6pbxI6F7AAAAAAAzmY6yE+ZMkWzZ8/WunXr5OHhYWvv37+/vvnmG4fHycvLU3l5uQID7YNuYGCgcnJyzJZ1UWMmJSXJz8/PtgUHV32FHQAAAACAhmQ6yH///fe68847K7QHBAQoLy/PKUXVt6lTp+rUqVO27fDhww1dEgAAAAAAlTL9jHzLli11/PhxhYaG2rVv27ZN7du3d3gcf39/ubu7Kzc31649NzdXQUFBZsu6qDE9PT3l6elZq98EAAAAAKA+mb4iP3LkSD3zzDPKycmRxWKR1WrVxo0b9dRTT2nMmDEOj+Ph4aHIyEilpaXZ2qxWq9LS0tSnTx+zZdXZmAAAAAAANCamr8i/8MILevTRRxUcHKzy8nJ169ZN5eXl+uMf/6jnnnvO1FgJCQkaO3asoqKiFB0dreTkZJWUlNhWnB8zZozat2+vpKQkSecXs9u9e7ft76NHj2r79u1q3ry5wsLCHBoTAAAAAABXZjrIe3h46M0339S0adO0c+dOFRcXq1evXurcubPpHx8xYoROnjypxMRE5eTkKCIiQqmpqbbF6rKzs+Xm9utNA8eOHVOvXr1sn+fOnau5c+fqxhtvVHp6ukNjAgAAAADgymr1HnlJ6tChg211d4vFUusCJkyYoAkTJlS670I4vyAkJESGYVzUmAAAAAAAuDLTz8hL0ttvv63u3bvLy8tLXl5e6t69u9566y1n1wYAAAAAAH7D9BX5xMREzZ8/X4899phtAbmMjAw98cQTys7O1syZM51eJAAAAAAAOM90kF+0aJHefPNNjRo1ytZ2++23Kzw8XI899hhBHgAAAACAOmT61vpz584pKiqqQntkZKR++eUXpxQFAAAAAAAqZzrI33vvvVq0aFGF9sWLF+uee+5xSlEAAAAAAKBytVq1/u2339batWv1u9/9TpKUmZmp7OxsjRkzRgkJCbZ+8+fPd06VAAAAAABAUi2C/M6dO9W7d29J0oEDByRJ/v7+8vf3186dO239LuaVdAAAAAAAoHKmg/yGDRvqog4AdSQ7O1t5eXnV9iktLZWnp+dF93G0n7+/vzp06FDjWAAAAAAqMh3kT548qSuuuKLSfd9//7169Ohx0UUBlztnhu/+A2J19szp6n/Q4iYZ1ovv42A/T08vrVr1odq2bVtlH0eOb8+ePTXXAwAAAFxiTAf5Hj166O2339bgwYPt2ufOnatp06bpzJkzTisOuNQ4EtCPHz+u4X+4S6Vna/i35EBg9vD0UlnpWbUZ8qSatgmutM+ZHzbr1FfvXnQfR/udPbJLhevf0pAhQ6qt3eETBwAAAMBlxnSQT0hI0PDhwxUfH6/58+eroKBAY8aM0ffff68VK1bURY2AS6gppDsc0P/jYoP1ufzDyv94niSpaZtgeQaFVdnPGX1MjWUYTj1xAAAAAFxOTAf5yZMn65ZbbtG9996r8PBwFRQUKCYmRjt27FBQUFBd1Ag0uOPHj2vr1q3V7nc0pDsaTp0RrBszZ544AAAAAC4ntXr9XFhYmLp3765Vq1ZJkkaMGEGIxyVt2PA/qKz0bI39HLnKTDgFAAAAcDFMB/mNGzdq9OjRat26tXbs2KGNGzfqscce06effqqUlBS1atWqLuoEGpSjz5k7cpUZAAAAAC6G6SDfv39/PfHEE5o1a5aaNm2qrl276uabb9bo0aPVo0cPHTlypC7qBBocIR0AAABAY2A6yK9du1Y33nijXVunTp20ceNG/fnPf3ZaYQAAAAAAoCI3s1/4bYi3DeTmpmnTpl10QQAAAAAAoGoOX5H//e9/r7/97W/y8/OTJL344ot66KGH1LJlS0lSfn6++vXrp927d9dJoQCAS1NNr26UJH9/f3Xo0KGeKgIAAGjcHA7ya9asUWlpqe3zCy+8oLvvvtsW5H/55RdlZWU5vUAAwKUrOztbV3fpqrNnTlfbz8vbR1l79xDmAQAAZCLIG4ZR7WcAAMzKy8vT2TOnq30rxLn8w8r/eJ7y8vII8gAAAKrle+QBAHCm6t4KAQAAAHsOL3ZnsVhksVgqtAEAAAAAgPpj6tb6++67T56enpKks2fP6qGHHlKzZs0kye75eQAAAAAAUDccDvJjx461+zx69OgKfcaMGXPxFQEAAAAAgCo5HOSXLl1al3UAAAAAAAAHOPyMPAAAAAAAaHgEeQAAAAAAXAhBHgAAAAAAF0KQBwAAAADAhRDkAQAAAABwIQR5AAAAAABcCEEeAAAAAAAXQpAHAAAAAMCFNIogv3DhQoWEhMjLy0sxMTHatGlTtf0/+OADdenSRV5eXurRo4c+/fRTu/333XefLBaL3TZo0KC6PAQAAAAAAOpFgwf5lStXKiEhQdOnT9fWrVvVs2dPxcXF6cSJE5X2//e//61Ro0Zp3Lhx2rZtm4YOHaqhQ4dq586ddv0GDRqk48eP27a//e1v9XE4AAAAAADUqQYP8vPnz9f48eMVHx+vbt26KSUlRT4+PlqyZEml/V999VUNGjRITz/9tLp27apZs2apd+/eev311+36eXp6KigoyLa1atWqPg4HAAAAAIA61aQhf7ysrExbtmzR1KlTbW1ubm6KjY1VRkZGpd/JyMhQQkKCXVtcXJxWr15t15aenq6AgAC1atVK/fv31+zZs9WmTZtKxywtLVVpaantc1FRUS2PCEBjtWfPnhr7lJaWytPT86L7+Pv7q0OHDqbqAwAAABzVoEE+Ly9P5eXlCgwMtGsPDAzU3r17K/1OTk5Opf1zcnJsnwcNGqRhw4YpNDRUBw4c0LPPPqtbb71VGRkZcnd3rzBmUlKSZsyY4YQjAtDYlBf/JFksGj16dM2dLW6SYb3oPp6eXlq16kO1bdu22n6cFAAAAEBtNGiQrysjR460/d2jRw+Fh4erU6dOSk9P14ABAyr0nzp1qt1V/qKiIgUHB9dLrQDqlrW0WDIMtRnypJq2qfrf9ZkfNuvUV+9W28+RPmeP7FLh+rc0ZMiQmovjpAAAAABqoUGDvL+/v9zd3ZWbm2vXnpubq6CgoEq/ExQUZKq/JHXs2FH+/v7av39/pUHe09Ozxv8ABuDamrYJlmdQWJX7z+UfrrGfw32cdOKgIU4KEPYBAAAavwYN8h4eHoqMjFRaWpqGDh0qSbJarUpLS9OECRMq/U6fPn2UlpamSZMm2drWrVunPn36VPk7R44cUX5+fo1XtADAWZx24qCeTwo4egcAgR8AAKDhNPit9QkJCRo7dqyioqIUHR2t5ORklZSUKD4+XpI0ZswYtW/fXklJSZKkiRMn6sYbb9S8efM0ePBgvf/++9q8ebMWL14sSSouLtaMGTM0fPhwBQUF6cCBA5o8ebLCwsIUFxfXYMcJALVVXycFzNwBwNV9AACAhtPgQX7EiBE6efKkEhMTlZOTo4iICKWmptoWtMvOzpab269vybvuuuu0YsUKPffcc3r22WfVuXNnrV69Wt27d5ckubu7a8eOHVq2bJkKCwvVrl07DRw4ULNmzeL2eQCXPWfcAeDMq/uOvE0AAAAA9ho8yEvShAkTqryVPj09vULbXXfdpbvuuqvS/t7e3lqzZo0zywOAy4pDdwA48eo+AAAAzGkUQR4A4Hqc+Xw/AAAAHEeQBwDUGUef7wcAAIDj3GruAgAAAAAAGguCPAAAAAAALoQgDwAAAACACyHIAwAAAADgQgjyAAAAAAC4EII8AAAAAAAuhNfPAQCAWsvOzlZeXl6N/fz9/dWhQ4d6qAgAgEsfQR4AANRKdna2ru7SVWfPnK6xr5e3j7L27iHMAwDgBAR5AIBL2LNnT7X7S0tL5enpWeM4XBl2nry8PJ09c1pthjyppm2Cq+x3Lv+w8j+ep7y8PP53DwCAExDkAQCNWnnxT5LFotGjR1ff0eImGdYax/P09NKqVR+qbdu2VfZx5KQAJwR+1bRNsDyDwhq6DAAALhsEeQBAo2YtLZYMo9qrvmd+2KxTX71b45Xhs0d2qXD9WxoyZEj1P+rASQEvbx+tT/u8xsDPSQEAAOBsBHkAgEuo7qrvufzDNfax9XPCSYELt4rfdHN/lZWerb5wB04KOHKXgMRJAQAAcB5BHgBw2XHGSQFJKis9e9EnBRy+S0By2kkBwj4AAK6NIA8AwEW42JMCjtwlIDn3pICjjwUQ+AEAaJwI8gAANAIOPRZQQz9HTgqYeSygpqv7Nb1JAAAA1A2CPAAAlxhnPBZg6pZ/AABQrwjyAABcpi726v6F2/0BAED9IsgDAIAqObIGAAAAqF9uDV0AAAAAAABwHFfkAQBAvahpcbzS0lJW0gcAwAEEeQAAUKfKi3+SLBaNHj26+o4WN8mwVtvF0VfncVIAAHApI8gDAIA6ZS0tdnjhPGe9Os+RkwI1vV7vAkdOCrjyiYPs7Gzl5eVV26ex1g4AlyuCPAAAqBeOLJznjFfnOXJSwNTr9Rw4KVDfJw6cFayzs7N1dZeuOnvmdLX9vLx9lLV3D2EeABoJgjwAAHA5F3tSwJHX60mOnRRoiBMHzjopsGfPHp09c9qhOyHy8vII8gDQSBDkAQDAZaumOwAcPingSB8nnThw+t0ENdQOAGh8CPIAAAD1xGknDpx8NwEAwLUQ5AEAAFyQM+8mcERNrw+UnLcwoMQCewBQHYI8AAAAquTw6wMlpy0MKDm2DoAzTxy48psHAFx+CPIAAACokiOvD5SctzCgZGIdACeeOHDlVxbyCkHg8kOQBwAAQI3qa2FAW78aTh4488SBK7+y8Pjx4xr+h7tUevZMtWPxCkHg0kKQBwAAQKPklLcF1NDH1FiN9ZWFkkOvEPzqq6/UtWvXKsfw9/eXpBqv7vNIA9DwGkWQX7hwoV5++WXl5OSoZ8+eeu211xQdHV1l/w8++EDTpk3ToUOH1LlzZ7300kv6/e9/b9tvGIamT5+uN998U4WFhbr++uu1aNEide7cuT4OBwAAAJeoxvrKwurGcnSdA09PL8liqfHqfmN8pKGxnoRw9ESFVHPtnNDAf2vwIL9y5UolJCQoJSVFMTExSk5OVlxcnLKyshQQEFCh/7///W+NGjVKSUlJGjJkiFasWKGhQ4dq69at6t69uyRpzpw5WrBggZYtW6bQ0FBNmzZNcXFx2r17t7y8vOr7EAEAAIBacfTEQXUcWefgwlV7qfqr+431kYbGehLC0RMVjtTurAUgHe3HnReNW4MH+fnz52v8+PGKj4+XJKWkpOiTTz7RkiVLNGXKlAr9X331VQ0aNEhPP/20JGnWrFlat26dXn/9daWkpMgwDCUnJ+u5557THXfcIUlavny5AgMDtXr1ao0cObL+Dg4AAABoJGo6KeBIv8b4SENjPQnhSB9Ha3fqApCO9muEd15IjfMkhLPGKi4urnGMCxo0yJeVlWnLli2aOnWqrc3NzU2xsbHKyMio9DsZGRlKSEiwa4uLi9Pq1aslSQcPHlROTo5iY2Nt+/38/BQTE6OMjAyCPAAAAOBiXPYkhDNrd8ICkI72a6x3XkhqlCchnDqWgxo0yOfl5am8vFyBgYF27YGBgdq7d2+l38nJyam0f05Ojm3/hbaq+vxWaWmpSktLbZ9PnTolSdq4caOaNWtW6XeysrLOfzdnv6xlZyvtI/36D7i6fo70ceZY9f57BUdsf1M7tTfG36N2ajfdx5X/fVF7w9TOvy9qb+y/58r/vi6j2q3nSqvsY/xSVmMfR/s5q4+j/aynT0mGId9rh8nd74oqxyo79n8q2b2h2n7O6tMQY5Ue3q3TWV/JMIwqx7ExGtDRo0cNSca///1vu/ann37aiI6OrvQ7TZs2NVasWGHXtnDhQiMgIMAwDMPYuHGjIck4duyYXZ+77rrLuPvuuysdc/r06YYkNjY2NjY2NjY2NjY2NrYG3Q4fPlxjlm7QK/L+/v5yd3dXbm6uXXtubq6CgoIq/U5QUFC1/S/8z9zcXLvnK3JzcxUREVHpmFOnTrW7Xd9qtaqgoEBt2rSRxWIxfVy4vBQVFSk4OFiHDx+Wr69vQ5cD1AnmOS4HzHNcDpjnuBy46jw3DEM///yz2rVrV2PfBg3yHh4eioyMVFpamoYOHSrpfIhOS0vThAkTKv1Onz59lJaWpkmTJtna1q1bpz59+kiSQkNDFRQUpLS0NFtwLyoqUmZmph5++OFKx/T09Kyw6EDLli0v6thw+fH19XWp/0cB1AbzHJcD5jkuB8xzXA5ccZ77+fk51K/BV61PSEjQ2LFjFRUVpejoaCUnJ6ukpMS2iv2YMWPUvn17JSUlSZImTpyoG2+8UfPmzdPgwYP1/vvva/PmzVq8eLEkyWKxaNKkSZo9e7Y6d+5se/1cu3btbCcLAAAAAABwVQ0e5EeMGKGTJ08qMTFROTk5ioiIUGpqqm2xuuzsbLm5udn6X3fddVqxYoWee+45Pfvss+rcubNWr15te4e8JE2ePFklJSV68MEHVVhYqL59+yo1NZV3yAMAAAAAXJ7FMBxZEg9AVUpLS5WUlKSpU6c69P5IwBUxz3E5YJ7jcsA8x+XgcpjnBHkAAAAAAFyIW81dAAAAAABAY0GQBwAAAADAhRDkAQAAAABwIQR5AAAAAABcCEEel72kpCRde+21atGihQICAjR06FBlZWXZ9Tl79qweffRRtWnTRs2bN9fw4cOVm5tb6Xj5+fm68sorZbFYVFhYaLcvPT1dvXv3lqenp8LCwvTOO+/U0VEB9pw5z9955x2Fh4fLy8tLAQEBevTRR+3279ixQ/369ZOXl5eCg4M1Z86cOj024AJnzfNvv/1WAwYMUMuWLdWqVSvFxcXpu+++s+vDPEdDcWSeL168WDfddJN8fX0r/e8RSSooKNA999wjX19ftWzZUuPGjVNxcbFdH+Y5Gooz5vmhQ4c0btw4hYaGytvbW506ddL06dNVVlZm189V5zlBHpe9L774Qo8++qi++eYbrVu3TufOndPAgQNVUlJi6/PEE0/oo48+0gcffKAvvvhCx44d07Bhwyodb9y4cQoPD6/QfvDgQQ0ePFg333yztm/frkmTJumBBx7QmjVr6uzYgAucNc/nz5+vP/3pT5oyZYp27dqlzz//XHFxcbb9RUVFGjhwoK666ipt2bJFL7/8sp5//nktXry43o4Vly9nzPPi4mINGjRIHTp0UGZmpr7++mu1aNFCcXFxOnfunCTmORqWI/P89OnTGjRokJ599tkqx7nnnnu0a9curVu3Th9//LG+/PJLPfjgg7b9zHM0JGfM871798pqteovf/mLdu3apVdeeUUpKSl2/V16nhsA7Jw4ccKQZHzxxReGYRhGYWGh0bRpU+ODDz6w9dmzZ48hycjIyLD77htvvGHceOONRlpamiHJ+Omnn2z7Jk+ebFxzzTV2/UeMGGHExcXV3cEAVajNPC8oKDC8vb2Nzz//vMpx33jjDaNVq1ZGaWmpre2ZZ54xrr766jo6EqBqtZnn3377rSHJyM7OtvXZsWOHIcnYt2+fYRjMczQuv53n/23Dhg0V/nvEMAxj9+7dhiTj22+/tbV99tlnhsViMY4ePWoYBvMcjUtt5nll5syZY4SGhto+u/I854o88BunTp2SJLVu3VqStGXLFp07d06xsbG2Pl26dFGHDh2UkZFha9u9e7dmzpyp5cuXy82t4j+tjIwMuzEkKS4uzm4MoL7UZp6vW7dOVqtVR48eVdeuXXXllVfq7rvv1uHDh23fycjI0A033CAPDw9bW1xcnLKysvTTTz/Vx6EBNrWZ51dffbXatGmjt99+W2VlZTpz5ozefvttde3aVSEhIZKY52hcfjvPHZGRkaGWLVsqKirK1hYbGys3NzdlZmba+jDP0VjUZp5XNc5/j+HK85wgD/wXq9WqSZMm6frrr1f37t0lSTk5OfLw8FDLli3t+gYGBionJ0eSVFpaqlGjRunll19Whw4dKh07JydHgYGBFcYoKirSmTNnnH8wQBVqO89/+OEHWa1WvfDCC0pOTtaHH36ogoIC3XLLLbbnzaqa5xf2AfWltvO8RYsWSk9P17vvvitvb281b95cqamp+uyzz9SkSRPbOMxzNAaVzXNH5OTkKCAgwK6tSZMmat26tW0OM8/RWNR2nv/W/v379dprr+n//b//Z2tz5XnepKELABqTRx99VDt37tTXX39t6ntTp05V165dNXr06DqqDHCe2s5zq9Wqc+fOacGCBRo4cKAk6W9/+5uCgoK0YcMGu2flgYZW23l+5swZjRs3Ttdff73+9re/qby8XHPnztXgwYP17bffytvbu44qBsyr7TwHXIkz5vnRo0c1aNAg3XXXXRo/frwTq2s4XJEH/mPChAn6+OOPtWHDBl155ZW29qCgIJWVlVVYCTM3N1dBQUGSpPXr1+uDDz5QkyZN1KRJEw0YMECS5O/vr+nTp9vG+e3KyLm5ufL19eU/DFFvLmaet23bVpLUrVs32/4rrrhC/v7+ys7Oto1T2Ty/sA+oDxczz1esWKFDhw5p6dKluvbaa/W73/1OK1as0MGDB/W///u/tnGY52hoVc1zRwQFBenEiRN2bb/88osKCgpsc5h5jsbgYub5BceOHdPNN9+s6667rsIidq48zwnyuOwZhqEJEybon//8p9avX6/Q0FC7/ZGRkWratKnS0tJsbVlZWcrOzlafPn0kSatWrdJ3332n7du3a/v27XrrrbckSV999ZXt1Vx9+vSxG0M6/8zxhTGAuuSMeX799dfb2i8oKChQXl6errrqKknn5/mXX35pW91bOj/Pr776arVq1arOjg+QnDPPT58+LTc3N1ksFlufC5+tVqsk5jkaVk3z3BF9+vRRYWGhtmzZYmtbv369rFarYmJibH2Y52gozpjn0vkr8TfddJMiIyO1dOnSCutYufQ8b9Cl9oBG4OGHHzb8/PyM9PR04/jx47bt9OnTtj4PPfSQ0aFDB2P9+vXG5s2bjT59+hh9+vSpcszKVs/84YcfDB8fH+Ppp5829uzZYyxcuNBwd3c3UlNT6/LwAMMwnDfP77jjDuOaa64xNm7caHz//ffGkCFDjG7duhllZWWGYZxfFTwwMNC49957jZ07dxrvv/++4ePjY/zlL3+p1+PF5ckZ83zPnj2Gp6en8fDDDxu7d+82du7caYwePdrw8/Mzjh07ZhgG8xwNy5F5fvz4cWPbtm3Gm2++aUgyvvzyS2Pbtm1Gfn6+rc+gQYOMXr16GZmZmcbXX39tdO7c2Rg1apRtP/McDckZ8/zIkSNGWFiYMWDAAOPIkSN241zgyvOcII/LnqRKt6VLl9r6nDlzxnjkkUeMVq1aGT4+Psadd95p9/8Efquq12Bs2LDBiIiIMDw8PIyOHTva/QZQl5w1z0+dOmXcf//9RsuWLY3WrVsbd955p91rugzDML777jujb9++hqenp9G+fXvjxRdfrI9DBJw2z9euXWtcf/31hp+fn9GqVSujf//+FV43yjxHQ3Fknk+fPr3GPvn5+caoUaOM5s2bG76+vkZ8fLzx888/2/0W8xwNxRnzfOnSpVWO899cdZ5bDMMwnH2VHwAAAAAA1A2ekQcAAAAAwIUQ5AEAAAAAcCEEeQAAAAAAXAhBHgAAAAAAF0KQBwAAAADAhRDkAQAAAABwIQR5AAAAAABcCEEeAAAAAAAXQpAHAAAVGIah2NhYxcXFVdj3xhtvqGXLljpy5EgDVAYAAAjyAACgAovFoqVLlyozM1N/+ctfbO0HDx7U5MmT9dprr+nKK6906m+eO3fOqeMBAHCpIsgDAIBKBQcH69VXX9VTTz2lgwcPyjAMjRs3TgMHDlSvXr106623qnnz5goMDNS9996rvLw823dTU1PVt29ftWzZUm3atNGQIUN04MAB2/5Dhw7JYrFo5cqVuvHGG+Xl5aX33nuvIQ4TAACXYzEMw2joIgAAQOM1dOhQnTp1SsOGDdOsWbO0a9cuXXPNNXrggQc0ZswYnTlzRs8884x++eUXrV+/XpK0atUqWSwWhYeHq7i4WImJiTp06JC2b98uNzc3HTp0SKGhoQoJCdG8efPUq1cveXl5qW3btg18tAAANH4EeQAAUK0TJ07ommuuUUFBgVatWqWdO3fqq6++0po1a2x9jhw5ouDgYGVlZel//ud/KoyRl5enK664Qt9//726d+9uC/LJycmaOHFifR4OAAAuj1vrAQBAtQICAvT//t//U9euXTV06FB999132rBhg5o3b27bunTpIkm22+f37dunUaNGqWPHjvL19VVISIgkKTs7227sqKioej0WAAAuBU0augAAAND4NWnSRE2anP/PhuLiYt1222166aWXKvS7cGv8bbfdpquuukpvvvmm2rVrJ6vVqu7du6usrMyuf7Nmzeq+eAAALjEEeQAAYErv3r21atUqhYSE2ML9f8vPz1dWVpbefPNN9evXT5L09ddf13eZAABcsri1HgAAmPLoo4+qoKBAo0aN0rfffqsDBw5ozZo1io+PV3l5uVq1aqU2bdpo8eLF2r9/v9avX6+EhISGLhsAgEsGQR4AAJjSrl07bdy4UeXl5Ro4cKB69OihSZMmqWXLlnJzc5Obm5vef/99bdmyRd27d9cTTzyhl19+uaHLBgDgksGq9QAAAAAAuBCuyAMAAAAA4EII8gAAAAAAuBCCPAAAAAAALoQgDwAAAACACyHIAwAAAADgQgjyAAAAAAC4EII8AAAAAAAuhCAPAAAAAIALIcgDAAAAAOBCCPIAAAAAALgQgjwAAAAAAC6EIA8AAAAAgAv5/xnDKhuGUFcxAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 5))\n",
    "ax.bar(timeline + 2025, total_cost_per_year, width=1., align=\"edge\", edgecolor=\"black\")\n",
    "ax.set_xlabel(\"Year\")\n",
    "ax.set_xlim(left=2025, right=2025 + nb_years)\n",
    "ax.set_ylabel(\"Expected discounted annual cost in k€\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "09bbe0ce-1152-430d-bb26-6fdb34867383",
   "metadata": {},
   "outputs": [],
   "source": [
    "timeline, nb_replacements, nb_failures = ar_policy.annual_number_of_replacements(nb_years, upon_failure=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "54a6de70-040c-496a-9f54-43b8e3d6a694",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 5))\n",
    "ax.bar(timeline + 2025, nb_replacements, align=\"edge\", width=1., label=\"total replacements\", color=\"C1\", edgecolor=\"black\")\n",
    "ax.bar(timeline + 2025, nb_failures, align=\"edge\", width=1., label=\"replacements upon failure\", color=\"C0\", edgecolor=\"black\")\n",
    "ax.set_ylabel(\"Number of annual replacements\", fontsize=\"large\")\n",
    "ax.set_xlabel(\"Year\", fontsize=\"large\")\n",
    "ax.set_ylim(bottom=0)\n",
    "ax.set_xlim(left=2025, right=2025 + nb_years)\n",
    "ax.legend(loc=\"upper right\", fontsize=\"large\")\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "37b6d6d0-4915-41e1-9cd4-55f6a9bc31e3",
   "metadata": {},
   "source": [
    "## Consequences with *a priori* age replacement fixed at 25 years"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "7c2da4a5-1542-45b1-bfb7-efa12de905e0",
   "metadata": {},
   "outputs": [],
   "source": [
    "ar = 25\n",
    "sub_opti_ar_policy = AgeReplacementPolicy(model, cf=cf, cp=cp, ar=25, discounting_rate=discounting_rate)\n",
    "\n",
    "timeline, total_cost = sub_opti_ar_policy.expected_total_cost(nb_years, nb_steps=nb_years)\n",
    "total_cost_per_year = np.diff(total_cost, prepend=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "b148d36e-0106-4a46-91d7-b46a5327b390",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 5))\n",
    "ax.bar(timeline + 2025, total_cost_per_year, width=1., align=\"edge\", edgecolor=\"black\")\n",
    "ax.set_xlabel(\"Year\")\n",
    "ax.set_xlim(left=2025, right=2025 + nb_years)\n",
    "ax.set_ylabel(\"Expected discounted annual cost in k€\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "2e461c35-6274-45a3-897b-6b35384a789a",
   "metadata": {},
   "outputs": [],
   "source": [
    "timeline, nb_replacements, nb_failures = sub_opti_ar_policy.annual_number_of_replacements(nb_years, upon_failure=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "82e33293-3ca1-49b6-8158-c967575ccdd5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 5))\n",
    "ax.bar(timeline + 2025, nb_replacements, align=\"edge\", width=1., label=\"total replacements\", color=\"C1\", edgecolor=\"black\")\n",
    "ax.bar(timeline + 2025, nb_failures, align=\"edge\", width=1., label=\"replacements upon failure\", color=\"C0\", edgecolor=\"black\")\n",
    "ax.set_ylabel(\"Number of annual replacements\", fontsize=\"large\")\n",
    "ax.set_xlabel(\"Year\", fontsize=\"large\")\n",
    "ax.set_ylim(bottom=0)\n",
    "ax.set_xlim(left=2025, right=2025 + nb_years)\n",
    "ax.legend(loc=\"upper right\", fontsize=\"large\")\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.0rc1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}