{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Worksheet Geoneutrinos (for [Encyclopedia of Geology, 2nd edition](https://www.elsevier.com/books/encyclopedia-of-geology/elias/978-0-08-102908-4))\n",
    "\n",
    "*Ondřej Šrámek, Charles University, ondrej.sramek@gmail.com, 22 July 2020*\n",
    "\n",
    "**References**\n",
    "\n",
    "* PDG 2020 = P.A. Zyla et al. (Particle Data Group), to be published in Prog. Theor. Exp. Phys. 2020, 083C01 (2020) http://pdg.lbl.gov\n",
    "* Vogel & Beacom (1999): \"Angular distribution of neutron inverse beta decay, νe + p → e+ + n.\" *Phys. Rev. D* 60, 053003, doi:[10.1103/PhysRevD.60.053003](https://doi.org/10.1103/PhysRevD.60.053003)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "#print (plt.rcParams['figure.figsize'])\n",
    "plt.rcParams['font.size'] = 12"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "IBD threshold lab = 1.8060658427409764 MeV\n",
      "E prompt = E_nu + 0.7823330539000608 MeV\n",
      "E delayed = 2.224551429999792 MeV\n",
      "mn - mp = 1.2933320000000776 MeV\n",
      "secinyr * 1e32 = 3.1556925445e+39\n"
     ]
    }
   ],
   "source": [
    "me_MeV = 0.5109989461 # electron mass [PDG 2020]\n",
    "mp_MeV = 938.272081 # proton mass [PDG 2020]\n",
    "mn_MeV = 939.565413 # neutron mass [PDG 2020]\n",
    "md_MeV = 1875.61294257 # deuteron mass [2018 CODATA https://physics.nist.gov/cgi-bin/cuu/Value?mdc2mev]\n",
    "#nu_e mass < 1.1 eV [PDG 2020]\n",
    "secinyr = 31556925.445 # Holden et al. 2011 https://doi.org/10.1351/PAC-REC-09-01-22\n",
    "\n",
    "ibd_thresh_lab = ((mn_MeV + me_MeV)**2 - mp_MeV**2) / (2*mp_MeV) # Vogel & Beacom (1999) eqn. A2\n",
    "print ('IBD threshold lab =', ibd_thresh_lab, 'MeV')\n",
    "Eprompt = mn_MeV - me_MeV - mp_MeV\n",
    "print ('E prompt = E_nu +', Eprompt, 'MeV')\n",
    "Edelayed = mp_MeV + mn_MeV - md_MeV\n",
    "print ('E delayed =', Edelayed, 'MeV')\n",
    "print ('mn - mp =', mn_MeV - mp_MeV, 'MeV')\n",
    "print ('secinyr * 1e32 =', secinyr * 1e32)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 792x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot pie chart\n",
    "labels1 = '$^{238}$U', '$^{232}$Th', '$^{235}$U (0.4%)', '$^{40}$K antineutrinos', '$^{40}$K neutrinos', '$^{87}$Rb', '$^{187}$Re (1.0%)'\n",
    "geonu = [12.20, 10.04, 0.37, 64.48, 7.61, 4.29, 0.98]\n",
    "explode1 = (0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08)\n",
    "\n",
    "labels2 = '$^{238}$U', '$^{232}$Th', '$^{235}$U', '$^{40}$K', '$^{147}$Sm + $^{87}$Rb'\n",
    "heat = [38.36, 40.17, 1.65, 19.30, 0.52]\n",
    "explode2 = (0.08, 0.08, 0.08, 0.08, 0.08)\n",
    "\n",
    "def my_autopct(pct):\n",
    "    return ('%.1f%%' % pct) if pct > 2 else ''\n",
    "\n",
    "fig1, (ax1, ax2) = plt.subplots(1,2,figsize=(11,4))\n",
    "\n",
    "ax1.pie(geonu, explode=explode1, labels=labels1, autopct=my_autopct, shadow=True, startangle=340)\n",
    "ax1.axis('equal')\n",
    "ax1.set_title('Geoneutrino luminosity')\n",
    "\n",
    "ax2.pie(heat, explode=explode2, labels=labels2, autopct=my_autopct, shadow=True, startangle=220)\n",
    "ax2.axis('equal')  # Equal aspect ratio ensures that pie is drawn as a circle.\n",
    "ax2.set_title('Heat production')\n",
    "ax2.text(-1.45, 0.49, '(1.7%)', fontsize=12)\n",
    "ax2.text(-1.5, -0.93, '(0.5%)', fontsize=12)\n",
    "\n",
    "#plt.savefig('../manuscript_latex/fig1_pies.pdf', bbox_inches='tight')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# spectra from http://www.awa.tohoku.ac.jp/~sanshiro/research/geoneutrino/spectrum/\n",
    "class Nuclide:\n",
    "    def __init__(self, name):\n",
    "        self.name = name\n",
    "\n",
    "# units of input spectra files:  keV  dn/keV\n",
    "k40 = Nuclide(\"40K\")\n",
    "k40.x, k40.y = np.loadtxt('AntineutrinoSpectrum_40K.knt', usecols=(0, 1), unpack=True)\n",
    "rb87 = Nuclide(\"87Rb\")\n",
    "rb87.x, rb87.y = np.loadtxt('AntineutrinoSpectrum_87Rb.knt', usecols=(0, 1), unpack=True)\n",
    "th232 = Nuclide(\"232Th\")\n",
    "th232.x, th232.y = np.loadtxt('AntineutrinoSpectrum_232Th.knt', usecols=(0, 1), unpack=True)\n",
    "u235 = Nuclide(\"235U\")\n",
    "u235.x, u235.y = np.loadtxt('AntineutrinoSpectrum_235U.knt', usecols=(0, 1), unpack=True)\n",
    "u238 = Nuclide(\"238U\")\n",
    "u238.x, u238.y = np.loadtxt('AntineutrinoSpectrum_238U.knt', usecols=(0, 1), unpack=True)\n",
    "\n",
    "facx = 1e-3\n",
    "facy = 1e3\n",
    "for N in u238, th232, u235, k40, rb87:\n",
    "    N.x = N.x * facx\n",
    "    N.y = N.y * facy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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uCSGEEKJWrw4WgHLgcmBla0+0aKDJYKF9jRJCCCF+SHp1sKC1tmutT7fqHPe/Fq09oyFampSp2uFqQ+uEEEKIH4YeESwope5VSm1XSlUppV6rty9GKfWeUqpMKXVMKXVT+25m/GMBYzSEe20Ih6s2IKibWDicW8qwh9ew5ttT7bqtEEII0Vv1iGABOAk8AbzayL7ngGqgLzAPeF4pNaqR43ziVbNQZ56Fimpn7TF1+iE+3psDwPZjhT7fo7Sy4WxcQgghRG/VI4IFrfVqrfW/gfy625VSocC1wO+01jat9efA+8D89t7TM92zW3ndYKHOcftPlQAwMDYUX3xyIJexj/2XY/ll7W2iEEII0SP0iGChGcMAp9b6YJ1tewBPZkEp9RFwMfCyUurWxi6ilFrk7ubYXrO6pBXQ5gDPMeXVDs/3dQscD2SXuq/hW4Nf2HQEl4aCsmrfThBCCCF6uJ4+z0IYUFxvWzEQXvOD1vqyli6itX4JeAlgVKJVg3eBI0CFvW5mQdecx+FcY75uh7PlIRK7jhey9WhBi8cJIYQQvUlPzyzYgIh62yKA0rZesHY0BF7TPVfWDRbcB50orPBsszubHxGx7WgBV/99S4P7CCGE+OE4dOgQQUFB3HzzzZ5tb775JikpKYSGhnLVVVdRUFD7oTE1NZX169d7fl6xYgXR0dFs2rSpS9vdXj09WDgIWJRSQ+tsGwvsbesFPQWOeGcWKu0Ng4GaLggAp6v51/+Lm460tUlCCCF6iZ/85CdMnjzZ8/PevXu56667eOONN8jJySEkJIR77rmn0XOXLVvGT37yEz788ENmzJjRVU3uED0iWFBKWZRSQYAZMCulgpRSFq11GbAaeFwpFaqUOgf4MfBGG+4xWyn1kmfoZL0Cx8YyC99nl3i2OZoJFsqrHWw9WkBksJW/3Ti+tU0TQgjRC6xYsYKoqCguvPBCz7bly5cze/ZszjvvPMLCwli6dCmrV6+mtNQ7Af7SSy/xi1/8go8//php06Z1ddPbrafULDwMPFrn55uBx4AlwD0YQypzMUZL3K21bnVmQWudBqSNGGC9E/BaSAqgwl6nwNGdf9ifXUr/yCBOFlfiaiZY+HhvNrYqBysWTfUEHTILpBBCtF32H/5A1f4DnXqPwJEjSPjNb3w6tqSkhEceeYQNGzbwyiuveLbv3bvX6+U/ePBgAgICOHjwIBMnTgTg+eef5/PPP2fDhg2MHTu2Yx+ii/SIzILWeonWWtX7WuLeV6C1vkprHaq1TtZav9kR97SgvVadrNsNoTW8uz2TD785xch+RslEc+/+lTtOkBQTzJTUmI5omhBCiB7md7/7HQsXLiQpKclru81mIzIy0mtbZGSkV2Zh3bp1TJ06lTFjxnRJWztDT8ksdJm6kzKhamOlaqeLiCALJZUONPDgym8AGNEvnA0HcpvMFJwoLGfLkXzuv3AoJpNC+TrGEvj6w6MUZpdz8cI2zzElhBA/SL5+4u8Ku3fvZv369eza1XBl4rCwMEpKSry2lZSUEB7uGbTHCy+8wNKlS7njjjt45ZVXWvWe6Cn8JlhQSs0GZg9NNB7Zoj07PMf0jQiipNLmNYNjbWah8Whh9c4stIZrJwyot6f5foh9X5xkW9pRAAkWhBCiB/v000/JyMggOTkZMLIJTqeTffv2cckll7Bnzx7Psenp6VRVVTFs2DDPtvj4eDZs2MCMGTO45557eP7557v8GdqrR3RDdAWtdZrWepFn6GSdl3lNbBAfYXRL5JZWefaNSIjwOqa+tD0nmZIaQ1JMCNDyolQAmQcK2LT8ewCsQWbfH0IIIUSXW7RoEUeOHGH37t3s3r2bxYsXc/nll/Pxxx8zb9480tLS2Lx5M2VlZTzyyCNcc801XpkFgP79+7Nx40bWrl3Lz3/+8256krbzm2ChhnZnEqz1Xv4KTXy4MTriiHsiJqid5rmxWOFQTimHcm1cfmY/n+9fcLKMtS9+R1RCCMOm9MWuqzlla2SRKqmQFEKIHiEkJISEhATPV1hYGEFBQcTFxTFq1CheeOEF5s2bR3x8PKWlpfz9739v9DpJSUls3LiRlStX8utf/7qLn6J9/KYbor6FVQ+ywv19TTYgPtzILBw5bazr8Ne54zCb3HsbeXl/+O0plIJLRyc02NfYu76q3M6Hz3+D2Wri8p+cyavL/43TGcaqQ6u4d/y9tQcWpMPy62Hq3TD5jrY+ohBCiE6wZMkSr59vuukmbrqp8QWRMzIyvH4eOHAgmZmZndSyzuN/mQX3v4d0SoNtsWE1wYKNIKuJ2Wf2B4yyhsY+53/07Skmp8QQH1E7X0NTdSvapVn/2n5s+ZVcetcYvrd/x4ECoysiqM58DxSkw2tXQP5hyJeJnoQQQnQ/vwkWaiZl8rz0dZ1H15oAiwmL2XjTHzltI7VPKCZ3VkHRMFNwOLeUgzk2LhvTMKsADYOLXeuOk/FNHtOuG0LIAPj15l8TZg0DwO5yL2ldcgqWXQn2cjBZpStCCCFEj+A3wUJNgaPnZ0/ng0IDgRazZ8uRXBuD48I85yqlGoyGWPNtNgCXjmm5XuHUkWK++vcRhkyMJ/WcCM5dcS455Tmck3gOAHanHSpLjK6H8gKY/x5YQ9r+sEIIIUQH8ptgoUajmQUgwFI7R0JJpcNT2AiNZxY2HMhlbFIUfet0QRjHKpS5jM9OfQCAvcrJhtf2ERYTxAU3j+CZHc8AcO+4e+kT1AcAh7MK3rkFcvfBnNehf82U0ZJZEEII0f38LlioVfvoCndmoU69QXJM7Sf7+jUL+bYq9pwo4kfD4xu9ckDcf3nt4NOcLj/Nl/8+QvHpCi68ZSS7i3ay6tAqbht1G3eNvct9b4X96GeQ/gnM/isMnVnbKCGEEKIH8LtgoW5moWbyJQ0EWExe7+cBMcGe7xXKK7Ow6eBptIYfjWgYLNjsxVgjdwJw6lAx335ygjN/NID4oWE8sfUJBoQN4O5xd3u1yJX9LUy9BybMr9dYySwIIYTofn43dLI2WFC1P2sItJi8hjLUzSygvGdw3Hggl9iwQEb1j2hw/S9yP0SZ7JhcJnavzia8TxBTrxrMW/uXc7T4KM/+6FmCLe5ApDzfaEN4Alz0eL0rSWpBCCFEz+A3mQXPEtUexqM73OtHBZiV1+u5X2TdzAKeKMPhdPHZwdNcMDzOM1qiht1l59NT76G1idHZ51GaU8251w+lxFnE83ue55zEczhvwHnugyvg8AYA9JCZYLY20mrJLAghhOh+fhMs1J/uueaTe7XTiQICrLU1C0FWU+1kTHjXLOzKLKKk0sEFjXRBrD+2nqLqPAIKpjLpxKXEDQ9m4NhY/m/X/1HpqORXk39Vu4DI+segshBQaGtQg2sZN5VgQQghfug+/fRTBgyov75Qz+I3wYKHAqXd3wDV7tRCoNlETW5hQHRIvVOUp75h0/enMZsU5w6NbXDplQdXEhvYj0lZ52N2WRh+eRTpxemsPrSauSPmMihykHHgkU9g6/PQdzSA18JVXg0VQgjRY2RkZHDZZZcRHR1NQkIC9957Lw6Hg82bNxMWFub1pZRi1apVgDHjo9VqJSwsjKioKKZNm8aXX37ZzU/TOn4XLGhA1XnsmmAhwGLyZBaSooO9zqn7If/L9HzGJEYSEeTdbXC85DjbsrdxXuhVjC6LY3/8lwTFmnhu93MEW4JZdKZ7iofKYvjPT6DPUEia4m5TUxkEySwIIURPcc899xAfH8+pU6fYvXs3mzZt4u9//zvTp0/HZrN5vj744APCwsK45JJLPOfecMMN2Gw28vLyuOCCC7j++uu78Ulaz++CBSNUqC1urHa6MwtWE2VVDgDPCpK1ZxjHllU52JNZxLTBfRpcdfWh1ZiVmUGHx6OBnQP+y7bsbaw7to75Z8wnOijaOHDj76HkJFz9ojFLI00EC71wvXMhhPghO3r0KHPmzCEoKIiEhAQuueQS9u7d2+C4ZcuWcd111xEaGtpgn8ViYd68eWRlZXH69GmvfX/4wx+IjY0lNTWV5cuXd9pztIVfjoaoW8pY5XCBxShwzCqqAGBAg8yCMXTy64wCHC7N2fWCBbvLzn+O/IcLIy7DtqWCXWGnKQ8o4amvnwJgwagFxoFZO+Hrl2HKnTBgInDQaFNTtQlSsyCE8FOb3zlIXqat5QPbITYpjOlzhvl8/P3338+KFSs4//zzKSwsZM2aNSxdutTrmPLyclauXElaWlqj16iurub111+nT58+REdHe7ZnZ2eTl5dHVlYWX331FZdddhmTJk1i+PDhbXu4DuaHmQXvYKHaYbyQrWYTJwqNYCGpQc2C8en/y/R8rGbFpJQYr/2bT2wmryKPCSdnYrIqvg7L9ey7dui1hAeEg8sJH/wcQuPgRw97nd94N4RkFoQQoieZMWMGe/fuJSIiggEDBjBp0iSuuuoqr2NWrVpFbGwsM2bM8Nr+zjvvEBUVRXBwMC+//DIrV67EYvH+vL506VICAwOZMWMGl19+Oe+8806nP5Ov/CazoJSaDczunxSASdcNFlwoYz/3XziUE4UVDYsX3TULXx7JZ1xSFMEBZq/dH6R/QKJKpWSvIubMGCpPVxMCTO03lUfPftQ4aPurcGo3XPcqBEV6nd9kZkFqFoQQfqo1n/i7gsvlYtasWdx1111s2bIFm83G7bffzkMPPcRTTz3lOW7ZsmXccssttSPf3ObMmcO//vUv8vLyuPbaa9mxYwfnn3++Z390dLRXt0VKSgonT57s9Ofyld9kFuouJOWVWXDXLACMToxkzf3TCa9XvKiAkko732UVc/Yg7y4IW7WNTZmbuLjkBrRL03dSHE7bMOYP+SXPXfic8T+Y8gL45PeQOh1GXeN97UYWqXLvaO8jCyGE6CAFBQVkZmZy7733EhgYSJ8+fbjtttv46KOPPMdkZmby6aefcssttzR5ndjYWF588UWWLFnCqVOnPNsLCwspKyvz/Hz8+HH69+/fOQ/TBn4TLNTQUFvgqN3BQgvvZZNJsT2jEJeGqfWChY2ZG9HVipBDiQyeGE9gVCBg4dyEywkwBxgHbXrSGAVxyR8bDQJc2tVgm6eBQgghul1sbCwDBw7k+eefx+FwUFRUxLJlyxg7dqznmDfeeINp06YxePDgZq81YsQIZs2a5ZWRAHj00Ueprq5m8+bNfPDBBz1qxITfBQvgPXTS7u6GaLorwIgljheUYzYpxiVHee1bc3QNk0tm4qzSjJuZ3PDk0wdh28swYQEkjG5VK3u64go772zP5Odv7yb9dOcWIgkhRHdbvXo1a9euJS4ujiFDhmCxWHjmmWc8+19//XUWLFjg07UefPBBXnrpJXJzjRq3hIQEoqOj6d+/P/PmzeOFF15gxIgRnfIcbeE3NQs16o+GsDt1i6/lmr6nEQnhhATU/soKKwv5Kusrbj/9BHHJ4fRNjeBoer73yesfhYDQBkWNXm3qRTULDqeLzYfzWLnjBOv25XjmqRifHMWguLBubp0QQnSecePG8emnnza5/8CBA41uX7JkSYNtZ511lqfbIT4+nhMnTgDw29/+tt3t7Ax+GSyY6mYWXC2/kGuCiQnJ0V7b1x1bR0xpIqaCYM64pF7fkgZO7oLvP4ILHobQhjM+1h7aRM1CD+qGyC2t5K2tmby57Rg5JVVEh1i5aUoy5w+P49Z/fo3Th9+jEEKI3snvggWozSxoNHZHE/UCdY93RwsTUowuCIfLQbWzmo3HNzKl8GIsgWaGTenb8MRPn4SgKDjrrmav35OHTu4/VcKLm47w4bensDs1M4bF8diVyfxoRDwBFhPF5XYAJFYQQogfLr8LFrSqDRYqq120HCpAzYt7YrIxv8J9G+/j86zPCXaFcUv2dQw7uy8BQZY6R0Jo/rdwcI3R/RDUcCnruposcOzGbohvThTxfxsPs25fDqEBZuadlcItZ6c06GpQ7iSNS6IFIYT4wfKbYKFmnoX45ABPN0RJpfGpuGbSpabPhdiwAJJijJkdP8/6HIDkvDNQThMjp/VrcM6A754zsgpTms8qAI3HBN00dPKr9Hz+tuEQW47kExFk4Wczh3LrtFSiQgIaPd7sbqerB3WZCCGE6Fg+BwtKqTAgCijSWve60netdSqgXw8AACAASURBVBqQFp8SeGfNaIiSitpgoTkWk2J0YhRKKbLLsj3bRxacRURsEH0H1mYOlFIMVKeIyVwP5z3YYlYBmglUuvAF/F1WMU99/D2fHTxN34hAfnXJcOZPTWkw50R9Jnew4JRgQQjRTi6XC5PJLwfpdQiXy7dceVs0GywopUYDdwGXAym4P4QrpTKANcCLWutvO611naJ2IamSSjt1Vqtu0h+uGeNZiXLrqa0ABFeH07doMMMuTWgwU9cd5o/QJitqyp0+tag7axY++T6X33+4n8O5NqJCrPz60hEsmJZKkNXc8slAzf+vJVYQQrRHaGgoWVlZ9O3bF6vV2uDvqmia1hq73U5OTk6ji1d1hCaDBaXUW8AoYAVwM7AfKAXCgZHADGC5Umqf1npup7SuE9Rdorqk0oEvr8QLhsd7vv/q1FcADM4fj9KKoZO8CxstFXlcZ/6MnEHX0i8sHl90R81Cnq2Kx9L2kbbHmE70JxcMZtF5g4kMbj6TUJ8nsyA1C0KIdhgwYAB5eXkcO3YMh8PR3c3pdSwWC5GRkcTGNj3yrl3Xb2bfm+7UfX2FwBb31/9TSl3RKS3rRDUFjiUVdqLxnnehOVprvjr1FTFBMYwsOIvoxGBi+ntHcX2//xdWHJwcuZCGlQxNc2kXClUbTXdSVK215r1dWTz+wT7Kq5w8cNEwFs8YTIClbak/f6pZqLQ7ySwoJz2vjMyCcoYnhDN9aFx3N0uIHwSTyUR8fDzx8b59yBJdq8lgoW6goJQya62dTRz3QWc0rLNowKRqaxaiPdtbftkdLjpMXkUej45ZSs4nEQyb0ddY9yHEvQql007cwTf51DUWa8RAn9tU6ajk1rW3MihyEEumLfFubAfKs1XxP6u+Yf3+XCamRPPHa8YwtG94u65ZE9M0Nhoi/bSNtD2nmDwwmmmDOyfaba18WxVfpudzMLuUO88b5KnJyC2p5OuMQpSCy8b0w+F08X1OKXsyi9mdWcjuzCIO59oaDBEd2S+Cd+6a2mJthxBC9Ga+FjiecndLvKG13t6ZDeoKpjrdEOB7dUBNF0S/vGHkkM0gx/vw3HPw4CHjgAMfEFBxmject3K7j9dUKDZnbQaoXUuiVa1q2dG8Mn7xzm4O5diocrr43RVncOu0VMym9t9DKYVJ1c6zUFHt5N+7s3hneya7jhcBcPEZfbstWCittPN1RgFfHM7ni8N5HMgu9eyrsDuxOzWfHTxNel7tAi7hQRbsTheVdqN7KDrEytikKC4ZlcCguDBSY0OxO108s+4gW47kc6q4UoIFIcQPmq/BwqXAPCBNKVUEvAH8S2t9vNNa1km8axbsnjS6L3bm7CQxLJGC7+1ExAUTfexfUJZbe8DXr1AVNoBNeWN9DhZqKFQjmYT2pxZW7TjBL97dA0BiVDD/vG0yw9qZTajPpBSniit5cu0B3tx6nOIKO8P6hvGby0bw1rbMLu2i0Fqz92QJ6/blsPnQafacKMbp0gRYTExKiebBWcM5o38Et/3za17efJQgq4mzB/Vh7pQkokMCeP7TIwyODyMxKpjxyVGMS4oiOSak0WKreWelsOVIfiOtEEKIHxafggWt9Q5gh1Lql8DFGAWP3yqldmIEDm9rrcuau0ZPUluz4MBi9q2vXmvNztydnBt3Hic+KWDMlFBUujuj4HLB4fWQsZnTE36FK8/k8+gAkzJxUcpFnC4/Xa+R7Zvu2e50seT9vSzfepwpA2NYNH0Q04fFEmjxbZRDa5hMilU7T2BSMGtUArefO5BJKdEopUjbc6rTix+11uzKLOI/u7JYty+Hk8WVmBScOSCKxTMGcc7gWCakRHuN8PjbjeOJCLIwdVAfr+3XT0ry+b418YMflGsIIfxcqyZl0lq7lFIHgAPAVCARI+PwJ6XU/VrrNzqhjR2qfmbB6g4Wmlt1EiCzNJOCygJGlE+ixKEZGLKrzkWdsO0lAE4PmwtbGl9MpDEh1hD+POPP3Lr21np1E23vIigsq+bu5Tv4Kr2AxTMG8+Cs4R3S5dCU+VNTMCm45exUkmJCvPaZTKrTpoLOLa3kvZ1ZvLvjBIdzbQRaTJw3LI6fXTSMC0fE0ycssMlzrxzb/nXia36jvtS7CCFEb+ZTsKCUigbmAPMxhk2+A9yitd7i3j8Z+C9GlqHHq6lZKK10YDWbfHot78zdCUDYyQSqQqvoV7iydmfJSTiyEc79Oa7g6Cau0LSmxxO3/iV0OLeUhcu2c6qokv+dM5ZrJgxo9TVa63dXnNHkPqOeoeNepnani40Hcnl3+wk++T4Xp0szITmKP14zhsvP7NeltQOSWRBC+AtfMwsngE+AvwH/0VpX1d2ptf5aKfWfjm5cR6qZ7jkqJRDlHg1RVuXA4uMn7l25u4iwRlC0107y0BBMWdsgOBoqCuGbd4zswtiboNw4vi3vD69PqG1IBHx5JJ9Fr28n0GrirUVTmZjS+sClo5mV6pBg4fvsUt7dnsm/d2eRZ6smLjyQO6YP5PqJSQyJ796lsSVYEEL80PkaLAzSWuc0d4DW+tb2N6fz1Ez3HJUadGdNzUJ5tQNLkG9v5Z05O5kaNIPykmoGROZANjD0Yvjmbfj2HUg4E+KGwbGCNrWv0exCK95Ca7/L5qdv7SK5TwjLbp9CYlRwm9rR0UxK0dYZSKscTj785hRvfHWMXceLsJgUM0f25fpJA5gxLM7nepPOU7t6qRBC/JD5WuCYo5QKAIYDsdT53Ku13thJbes0yj1vo63KgSWk5RdOQWUBGSUZXGG6BQeQ5NgIYX2h31gjWMg7CDMf81y9rbzrJny/zoptx/nNe98yNimKVxdMJjq08UWfuoPJ5Pu6EaWVdt7cepwThRWEB1l4++tM8suqGRQbysOXj+Tq8YnN1iF0NemGEEL4C19rFs4F3gUCgQigBGPa50xgUKe1rhPULXCstLsw1xQ4NvPp8JvT3wAQltsX4q2EZ30AIy4HU51f3+hrvO/TyjdI47NItnyNf2xO54kP9zNjWBzP3zyBkICetZCoSSmczaQWqh0uSirtLNuSwbItGbVzXyiYObIvt5ydwjmDYzF1YoFmW/W8FgkhROfw9c3yDPCU1voZpVSh1jpGKfUInh763kR5ZnAEY0XJlv7o783fi0VbsR1zMXKMHbKKYMhMKHePsU86C6KS290y75qFll9FNYHCZWMS+MsN49s8ZXNnMoKFhkFPTkklL3+Wzj8+P+rZdsmoBK6bOICM/DIuHdOvx3SlNKWm60gyC0KIHzpfg4VhwF/rbfsjcBT4U4e2qJPVzSwAWMwtv5T35u1lnD4bR7WLAUH7QJlg0Pmwz13TOfpaz7FtXdJBKdUwG9HMW+itbcc9gcLf5o7vAf33jas/dDL9tI1nNx7mg29Oebonrp0wgMUzBrV76umuJkMnhRD+wtdgoRij+6EIY+rnM4B8oHvL0Nuobi7B0sLa6Vpr9ubv5dKK+aAgsfR9SJxkrAcRMwjCEmDU1Q3Pa0O7GtYsNH6V9/ec5DfvfcuMYXH85YaeGyhA7dDJ7OJK/rrhEO9szyTQYuL6SQO467zBJPcJafkiPZTULAgh/IWvwcJq4DLgTeAVjGGUdow6hl7FyCzUztjX0tDJ7LJsCioLiC5KJDIhmMDTW2H6L4ydg2bALw50yAqRvq58ufFADg+8vZvJqTG8cPPEHtn1UJdZKY7k2pjx9Ce4tGb+1BTu/dEQYntQoWJbddLCoEII0eP4OhriZ3W+/7NSaitGgePHndWwzuSVWTC7P8E38elwb/5elFbonCD6jSiDHBeknFPnYt5vjA57fzQy3fOezCLuWb6TM/pH8MqCSQQHdPzUzR0tIthKud3JVeMSeeCiYQ1meOzNlGfopBBC/LD5OhoiESjXWhcCaK0/V0rFAAnAyU5sX6eoO6eBxWxGNTMPwN78vcRVJOGs0vQL+N4YAZE0peWbtPIN0jCz4P3zicJyFi7bTmxYIK/eOrnXrHL4uyvO4Oczh/Xq7oYmebohJFwQQvyw+doN8W/gdqCwzrZE4B/AWR3dqM5kdEPUrVlQ0FywkLeX0Y7JACRUboD+EyAgtJPaVv+lY/xcUmln4WvbqXI4WbHorF6Vwo8JDSCmG+Z9KLeXU1xVTL+wfgA4XA4KKgvIr8jHZrdRbi+n3FFOmb2MCkcFLu3y/O/CpEyYTWYsJgtxwXEMiRpCmDWM0IBQrKbaIK22wFEIIX7YfB4NobX+tu4GrfW3SqkRndCmTtegG8LR+HFaa/YV7OPqsh8RFhVAeN4mOOe+5q/d5uEQDS4EgNOlue/NXRw5beP126cwJL53jRjoTOX2co4WHyWjJMP4Ks4gszSTLFsWRVVFAARbggkyB1FUVdQhoxaCzEGEB4QTGxyLyRVBYIKL1ekHOFKZTHJ4MikRKcSHxHsNzxVCiN7O12DhtFJqiNb6cM0GpdQQjBERvY5XN0QzoyFyy3MpriomOK8PCbF5qEoHpJzr0z3a8mJqbOjkXzccYtPB0/z+6tFMGxLb6mv+UFQ6KjlQcIC9+XvZl7+Pffn7SC9Ox6WNtJBC0T+sP8nhyYxMGUnfkL58kvkJCSEJxAbH0ie4j/FvUB/CAsIItYYSYgkhxBpCsCXY83LXaLTWOFwO7C473xd8T2FVIbZqGza7jTJ7GSXVJeRV5JFeeBJLeDbvH9vOf47V/rcLMgeRFJHEoMhBjIgZwciYkYyIGUGf4D7d8rsTQoj28jVYeBVYpZT6LZAODAaWYnRD9EL1uiFo/OV+qOgQIdURaJuZBPUuhALJndPr0ljNQk5pJX/bcYjrJg7gpintn/SpN6lwVLDn9B6+zv6a7dnb+TbvW+wuOwB9gvowKnYUF6VcxLDoYaRGpJIUkUSg2bt7ZvHYxe1uR0JoQpP7Pjt4mlte3caKRZNJjndwrOQYx0uOc6zU+Pe7vO/4OKO2Bjg+JJ4zY89kQt8JTOw7keHRwzGben6RqhBC+Bos/BFjqOSfgCTgOMYQyv/tpHZ1mgY1C83MUXCo8BBxNuMlHW89ZGwMbL4boD2jIeoGLHani13HCzmjXwRPXDW67d0bvUhGcQabTmzisxOfsTN3Jw6XA5MycUbMGcwbOY9x8eMY3Wc08SHxPeL3UdMEs8lC/7B4+of15+z+Z3sdU1xVzPcF37O/YD/7C/azO3c364+vByDUGsq4+HGc2/9cpg+YTkpESlc/ghBC+MTXoZMu4Gn3V69Us0R1SEqQV7BgbmaehUOFh0itGoFSEGs9CvNW+ny/1hbIK5QnWKhyOMktNVYBf+HmiQRZf5ifPp0uJztzd7Lx+EY+O/EZx0uPAzAkagjzR85ncsJkxsePJyygZ8795Rk62cx/68jASKb0m8KUfrUjaLLLstmZs5MdOTvYlr2NJ79+kie/fpKUiBSmJ07ngqQLmNh3omQdhBA9hs+rDimlLgLmAvFa69lKqUlARG9ZdbJmierQ1OA7fQ4Wig4xofLHREdUYFXVkDixxft0xAfeJ9d8z012F+OSI0lozZDD7O/AUQkDJrW/EZ2kZkbMD9I/YM3RNRRUFhBgCmBKvynMP2M+5w04j/5h/bu7mT5RbRw6mRCawGWDLuOyQZcBkFmayeYTm9mctZl3D77Lv/b/i9jgWGalzuKS1EsYGze2R2RShBD+y9d5Fu4D7seoUbjOvbkC+BswrXOa1jm08i5wbGrmRIfLQXphOjOK4oiPPAp9hhpTPPt6n9ZmFpQCDRv25/DqF0dZHBVAfEQrhkjueA0+etBo5z1bardXlkDWDhh8QcsNPrwBNv8JSrLgvp1g7ri5HE7ZTpGWnkbakTQySjIIMAUwI2kGs1JnMT1xOiHW3jcPQ0cNnUwKT+KmkTdx08ibKLeXszlrM2uPruXd799l+f7lJIYl8uPBP+bqoVc3W0MhhBCdxdfMws+AC7XWGUqph9zbDgDDO6dZnavuQlI16hc4Hi85jrUyGFVpJS5sBwyY3Ontsjtd/PLdPYzsF0GsuYW5CSqK4LuVMO5mWL8Etj4PJiuU59Uek/E5vHa58f1Pvoa4YY1f6+hnsPEJyNwKygzaCfaKdgcLLu1iy8ktvH3gbT7L+gyXdjEhfgILRi3g4tSLiQiIaNf1u10nfNgPsYYwK3UWs1JnYau28UnmJ7x/5H2e3/M8qw6tYv316zv+pkII0QJfg4VwINP9fc1b1QpUd3iLukBNNqFmXQXVyEfDg0UHiStzFze69sCARa26dltkFpZTVu3k/24ch+ldU9Ppifwj8NaNkPc9bHsZTh+AqfdAeQF8swK+eRfyDhpZghpVJQ2vc3I3rPudESyE94crnoGqUlj3iBEwtFFJdQmrD67mnYPvkFmaSUxQDAtHL+SaodcwIHxAm6/b0/hSs9AeYQFhzB48m9mDZ/PktidZdWhV59xICCFa4Guw8BnwP8Dv62z7KcaCUr2Q8Uc+yGJq8tNhelE6cbYklNL0sR5tdWahte+PvNJqiivs/HzmMPfES400zOWCD34GO5fVOfEgXPYnmHInHN1sBAur7zD2jZsHI2fDW3ONTEEN22nY+DjsfANC+sAlf4SJt4E1CLa+WHuvVsopy+GNfW/w7sF3KXeUM7HvRO4bfx8zk2di7cAujZ7CU7PQBXM4Wkw+lxcJIUSH8/Uv0H1AmlLqTiBcKfU9UALM7rSWdZK6QyebG2WQUZxBYvVgosLKsFrNED+q09pUUFbNoVwbwQEm7pw+sF5r3VwuSPsp7HrD+HnRJtj0pPGSH3axsW3gdCM42J8G17wMZ86BzG3uB9oMKdPg63/Axt+DvQzO/gnM+BUERdbep6YCvxWZhaPFR/nnd/8kLT0NrTWzUmdx++jbGR7TK3upfOYJ57pgvmeF8kxAJYQQXc3XoZOnlFKTgSlAMkaXxDb3kMpep6bAse6qjfUr2jNKMphafi59ArOg7ygw+xZXtaVo/fG0vThcLgZFh9TO+1D3QpUl8PIFkH/YWB77gt8aL/Ub32p4sRv+5f1zRKLx76YnYesLUFkMg38ElzzZeA2Dcv9OXC0HC1m2LJ7f/Txp6WkEmAK4ftj13HLGLd3b1WCvgIpCo28gMrFLbtkVa0MopWTBKiFEt/E5t6mNv1Rb3V+9miezYDG7f/amteZE4UkCy8KIse6FhDGtvoevf9gdTs2/d59kxLhQgqz1SkC0BkcVrLjJCBRmPAQX/KZ1DYlMhGk/hS1/MwKFa1+B0dc2HdXUZBZcTSyYAZwuP81L37zEykMrMWHi5pE3c/vo2zt/OmOnA/IPwak9kLvP2BYQbmzLP2x8VRa7D1bwwD6I6LxhmDVBZ1e8w+vOwyGEEF2tyWBBKZWJDx+atNa9bh7imj/ygdbGZ2/MLc8luMRIzffhICTc0CntcGlNRbWTAf2CSYkJobi6brDgfpm/f5/RhVDTrdAWFy+F1OmQNBmCo5s/VjXdDVHhqOC1va/x6rev4nA5uHro1Sw6c1HnDecrzYZjW4yvk7sgxz2PRH0RA6DPYBhzvREcZO2EAx/Aq7MgrC/ctqZDh4HW6MqaBcksCCG6U3OZhZvrfD8ZWIAxr8IxIAW4F3i985rWmYwgoSazUF9GSQbRFcbSxjGWY5BwZqe0Yv+pEpxa8+js0bx30tTwpXN4vfFy/NHDbQ8UatTUNdShtebDox8SZA5iZspMY6OpTjfE6YPGcbFD+fjYx/zv9v/lVNkpLk65mJ9N+BlJEUnta1N9xSfgyEajzuLYFig4Ymy3hkLiBJi0EPqdCf3GGkGPLdcIEuovGV5eYHRHlGbDia+Nn8P7dmxbqTPPgmQWhBA/cE0GC1rrTTXfK6WeA2ZprbPqbFsDrAX+3Kkt7AQ13RBGZqFhOj6jOIM+5f0xm51EmE9D3zNafY+W/qznlFSyO7OIM8xmZo6M572T9RupjEBh3M0w/Zetvn9L8ivyeXTLo2w6sQmLycKu+buMHTVV929cDUXHOBw7iN8PGcf2nO0Mjx7O78/9PZMTOmjOiYoiI1tweD0c/C/k7jW2B0UZxZiTbjP+TRjbeM1IeBMZjZAYmL8avnkHVt9pjCCpKjUmm0qcBNe+3CHNr80sdD6lJFgQQnQfX2sW+gO2ettsQNdUkHWwmkmZ6o6GqPuHOKMkg9iKRGKCCzDFDmr4ybUDPLn2AC4NwVYLSqmGaeaoFONleMUzHTOHdB2bMjfxyJZHsFUb/0kTQuq8dN0LZVU7qng5KpJ/hNkJLTrE76b+jmuHXtu29QqcDji93xhRUm0zugi+fRfSNxndHcoMyWfDRY/D0Ishdjg0s3S4z+JHGhmInO+MQk+XE45saP91PWpqFrqgG0JGQwghupGvwcL7wPtKqSeAExgrT/7avb3XqalZqAkW6r+Kj5YcZVjF5fQJ+q7VxY2+vNe/yypm9c4s7u/XB1NutbsN9U684V/GxTowUKh2VvPU10/x9vdvMzx6OP+4+B+8tvc1vs7+uvagITPZfdVfefToatJLjnJ5leZXc98nJsj3qa498g7D7n/B168Yk0IpkzHLpLPKCIbO+Sn0nwADz4PgqA57To+EMfBQRu3P6x6BL58zho6W5xuzXZYXGKNd+gwxsg9VpUZRqXYBGpx2owsoeWqDy3d1ZkEIIbqLr8HCYmAJ8AJGluEk8C7wWOc0q2sEWhr/9HrydA5jqkKJCdgP8a0fCQFN92NrrXniw31Eh1gZkxhJRu7pxg/siE/WdZyyneKBTx/gu/zvWHDGAn464acEmAOwmqw43CMfqpxV/GXHX1i+fzkJoQn8PexMpp/eDr4ECk4HHPsctv8TQuMg+1vI/MrIGgw8D9I/MQKFSbcZhYiJEzs8Y9KiPkOMUR6fPW10VYT0MSa1ythce4zJApYgo90KqLLB9leMUSQmi7vNCpSJyIJqgtGgwVbloLCsmvyyagrLqykut1NcYaes2sH0IXFU2J2UVTlIigl2T7rVOiZ3NkxrLYGDEKLLNRssKKVmApu01pUYMzj+T5e0qpO5XDWZhYYvZLvLTkWBMRIg2pwFcdd26L1X7cziq/QCHrtyFAHHa0c/tGea6JZsObmFhz57CLvLzl/O/wsXplzo2WcxWXC4HBwsPMhDnz3E4aLDzB0+l59P/DkhHz/ccAily1Wb8dAa0j+Fz5+Bo5u8j+szFGYugbE3Gt0pVaVgDaktoOwOE26BM64yupVq2lFeYMzLEBhufFmCvIOY1Yvgm7dh1cIGlxsMLDRfz8JlQbiaSS88xfdeP2/4xQwGx7Vy2W13k1zahVl14+9QCOGXWsosPAi8pZT6AvgQ+FBrXb8Ur9dxurt+gyxmcHm/pLNt2USUxwIQZTlp9J+3QnMv/dJKO4+l7SW1Twg3nZXMl8cPe+3v6AI2rTWv73udP2//M4OjBvPM+c+QGpnqdYzFZKGkuoS5H8wlIiCC52c+z7mJ5xo7TZbaYKGqFLb8nzG500WPG/UHm56EE9uM0QrRA+G8XxrdC+YASJri/dINbP2n6U4RVG/xqpCY5lcTveoFuGip0W2BdqeMNGgX+h8zOadfII7kwcSEWokOCSAmNIDo0AAig61EBFnZebwQrSEs0ELanpO8vT2TC/+8CatZER0SwI9GxFPtcFHl/qp2urA7jP+BKgUmpVAKckwnwQR3vbGdxTOGEhpoIchqJshqIthqJiqkhYXHhBCiHZoNFrTWs5RSIcCFwGXAb5VSxRiBw0fAlt44i6PT/TEwyGqGKu99J2wniKqMB+Ui3JIHMYPaeJeGL/7XvzxGaaWDZ2+agNVcL6vRwYkFh8vB/9v6/3jn4DtclHIRT5zzRKPLQAeZg3BqJ9MHTOexaY951yaYLEaf/daXjMCgZkXL9UuMPv3IJLj8f2H8zWBpxXLavYnJZAy7bGTopTJZODs1irNnjWjy9FmjaotHzx0ay7lDY9meUcDnh/PIL6tm44FcAiwmAi0mAixmAiwmAszKXdBohI8uramyuCAQ1u/PZv3+vAb3eeiSEdx9/uAOeWQhhKivxZoFrXU5kOb+Qik1GiNw+D0wQin1CfCM1rrXzOzorNsNUeX9nj5pO0lkZRyhQSWY+6SApWM+sdmqHLy8OZ0fjYhnxrC4Ro/pqKp6W7WNX276JV+c/IKFoxfy0wk/xaQar4G4ccSNjI0by/lJ5zfsCzdbjDUk1jxoTOp00WOw+X+NeoTpvzC6GDro99MrKXOrJ1mYPbY/s8e2flbJl7/Zx992wYq7plJRpai0O6l0OKm0u3hq7QEO59YfrCSEEB2npZqFKK11Ud1tWuvvgO+Ap5RSEcAsjCWsew1HTTdEIwtJZdmyiKqIp4/5FMQ2snZCC5qqPXvjy2MUldv56YVDGz+vg1ILeRV53LXuLtKL0nls2mNcM/SaZo/vG9qXvqFNTFiUcq6xjPW0+2DITOPh5i7vkHb+ICiTe9REF9zK/T+s8clRBJq9szjLtmSw6eBpFr72NUEBZoIsZvqEBTB2QBRRIUZ3SGSwlYhgC+FBVswmKZAUQrROS5mFbKVUGvAasFZr7zmAtdYlGKMiuo1S6vfAeUAOcIs7E9Ksmm6IxkZDnCg9QWLlMKKDdzW+0JKP6n7gLK82sgozhsUxLqnpIYLtrVk4aTvJnf+9k9MVp3lu5nNM6z+tXddj2MWNzvwo3EymVq3O2REam2thzqQkPvr2FNkllUbGwe4iq6iikbMhPMjCp788nz5hP9BuIyFEp2gpWJgCzAdeAixKqTeB17TWezq9ZT5wd4kM1lpPV0otBm4Hnm3pPKf773ugJ7NQ+5I+nVdIiiuAKPMJiL26Q9q5/KvjFJRVN5lVgPZnFjKKM7hz3Z2U2ct46aKXGBc/rl3XEz7owsxCTTdSY11Vt587kNvPHei1rai8mlPFlZRU2CmpdFBSYWf7sQLe2pZJdkmlBAtCiFZpqcDxG+BBpdRDwEUYgcMXSql0YBmwXGudxmBGYgAAIABJREFU3fnNbNJ0YI37+zXAk/gSLHh1Q3jPwleWZwcg0nyyTZmF+t0QdqeLV784ytmD+jAxpflFnNqaWThUeIg7/nsHAP+c9U+Gx7RuBIdoI2XyaSnvDrlVK4PJqJCABiMkokOtvLUtk2pHr6tJFkJ0M59m/tFau7TWH2utbwb6An/CWEjqeEc0Qil1r1Jqu1KqSin1Wr19MUqp95RSZUqpY0qpm+rsjgZq1iQuBnyaZtDh/vseVK8botJRCcXGH9goS9tqFmrUvPY//OYUp4orufO8gc0e39aJdo4WH+WO/96BRVl47ZLXJFDoSsrcdTUL7mChPVM+B5iNTJoEC0KI1vJ1BkcAlFL9MVajXAD0ATqq2u0k8ARGsWRwvX3PAdUYQco44EOl1B6t9V6gEIh0HxcJFPhys5oJdOoXOJ60nSSiMhZMDsLCzW2aG6DuJ0CtNf/4PJ3BcaGcPyy+xXNbOxoiszTTk1F4edbLDIxsPiARHawbChzbU9cS4A6OM/LLSIwOJizQQmigpeEwXiGEqKfFYEEpFQxcixEgnAdsBv4IrPKlmNAXWuvV7ntNAgbUuXeo+96jtdY24HOl1PsY3SH/A3yOsUbFMoxA4wtf7nfJ6H5MSEph2uA+cKB2e5Yti/CqGIICilF9Utv5TPBVegHfZZXw/64Zg6mFCvTWppmzy7K54+M7qHJW8eqsVxkU2db5IESbmbo+s9CeYCEy2ArAQ6u+rb2ugmfmjOOq8b1yTTghRBdpaejkMuBqIAt4A7hda53ZFQ1zGwY4tdYH62zbA8wA0Fp/6+6a2AzkArc0dhGl1CJgEUBQahARwQHcd8HoBsedKjtFeFUMkeZcY0bCdnrl83T6hAZwdQf/IS6uKmbRukWUVpfy8qyXGRbd9u6SjqYdDnR1Na6qKnA4wGxGmc1gtqDMJpTFgrJau7uZHUOprs8stGMujmF9w1i5+GxySqqwVdmxVTn5/Yf7OJRb2lHNFEL8QLWUWagALtZaf9UVjWlE2P9v777j26yuBo7/jpZlW96OHWc6ewEhgwTCCJRSRkkLpbRljwJtKW9foC0UCiWlUCijwMsuhTLLLFASdqCsshIgCSQhk+zETry3ZOm+fzxyojgesq1hSef7+ehjW3oknSdPbB/fe+657K5JaFNDSF8HY8wV3b2IMeZvWCs6SB+RbmwdlGoYDNsbtpPVMpx8x0eQV9qrgNtKDzZVNfLW1+VcdMToDvs57P288EYWWvwt/OrtX7G5bjP3H3U/kwom9SrOcBmvF19ZGb4tW4K3rbTu3Im/utq6VVVZHxsaMC0tu5eadEHS0rBlZWH3eKyPWVk4BhTiKCrGUVQUvA3ANWwY9vz8/rtxUkcFjsaAt8Fqj+2tt3bbbNvN0ttojUbY7NbzTMD6OPJwyC7p8q3aVkPMXzef74/6Ph5XD/eWwPo/Nr10z7KeW15fic8fi30zlVKJrLvVED9v+1xECrA6N5YYY24K1i/YjDGboxhfPdCumT/ZQJ/+FLKF/vKR3RMA5bU7KfHtQ05aGeT3benhU59uRIBTZgwL+znd/dUYMAF+/8Hv+bz8c2467CYOGHhAn2Lc47W9Xrxr19KyejUtq1bRvHo1LatX07pt+55NI0Sw5+djz8vFnpuLc/gw3JP3w+7JQtxpiMuFLS0NcboQpwMTCIDfj2n1Y/ytGJ+PQEMDgbp6AvV1+Ovq8dfW4F2/Ht+OHeDz7RGXLSsLV2kprhGluEpLcY8bh3viRBwDB8Y/iRA7bPgQHvuB1Qq7IXjzt3T/3FDTzoY5d3R5yMyBMxmdO5obP72ROz6/g2NKj+GHY3/IvoX79unfwWkXLXhUSnUrrAJHEZkN/AtYBBwM3ASMAX4DzIladLAKq7/DGGPM6uB9k4FlfXlR6aT1cfXOBkqArAhMQ6yvaOSoicUMym1fr9m57uajb//8dl5f/zqXTLuEY0cc26f4fFu30vjFFzR9sZimxYtp/vpra9oAwOkkbeRIMqZOwzV8OM5Bg3AOHoxz8CCcxcWIKzotnk0ggL+qitbycnzbt+PbtAnv+vV416+ncdEial+at+tYe14e7okTcU+cSPqUKWRMn4Y9u31eGWXDZ1m7bTZVgacYivextr3OKLA2rErLtopkXZ7gx0xrNMHvs/bdsNnhsROtUYdujM4bzfPfe56lO5fyr1X/4rX1r/HCmhfYt3Bfzpx4JkeXHt2rpMHlsOHza7KglOpauKshbgd+bIx5S0Sqgvd9gtW0qc9ExBGMxQ7YRcQNtBpjGkTkeeBaETkPazXE94EetyYUkTnAHHepG1snxYRNVdZftdn2HZDfu2Qh9JVPmxn+qEJ35q+bzz+++gc/Hvdjzpl0To+f76+ro/GTT6j/739p+O+H+DZaq14lPZ30ffel4JxzcE8YT9rYsbiGD49LXYHYbDgKCnAUFOCeMGGvxwNNTbSsXEnT8uU0B28VDz8MDzwAIqSNH0/GAdPJOOAAMg88EHtWlLuQf7/blh7dS8sCX3NYh4oIkwdMZvKAyVx2wGXMWzePJ1Y8wW/f+y2ZzkwOHXJoj9/eabexeFM1f31zFcYYAsYQCG6uaYIbWbkdNiaUZJPusuOy26zNrtpudhvpLjtZbieZLnv8R3uUUlERbrJQaox5K/h525+/3h48vztXAdeEfH068EdgLnAh8BBWAWMF8IvgsskeMcbMA+alj0g/v6NNlYwx+GqsH3RZ7nrI7Hizp3ANzU/nsDHhv4YgnY4sLK9YztwP5zK9eDqXz7g87B/IrTt3UrdgAbWvv07jpwvB78eWkUHGzJnkn3466dOm4h43DnFE6jJGly09nfT99yd9/91TRIGWFpqWLKFx4UIaFy6i+plnqXr0MXA4yJg+Hc/hs8k64ghcw4fHMfIuONzWxlzzL4XWFmhtCn5stj62F7z2HruLUxxuptlyOAloXvgArFhgjV6k5+19y8i3Rjra/d8ZW5zFu6t2sGxrLbaQLbFFhLYFPM2+8EYebGJtxZ3ldpLldpDtdpKf6eKq4ycwJG/vHU+VUokj3N8Sy0XkaGPM6yH3fRv4srMn9IQxZi5WYtDRY5XACZF4nzbtf9mKgQZfA67GIpBWMgrzO98RqhtpDquY8dQZw7tdLhmOyuZKLv7PxeS587hl9i04bV3/xe+vb6D2lZepnTefxkWLwBhcpaUUnHsunsMOJX3y5KhNI8SDLS2NzBkzyJxhDXIZr5empUupf/c96t95h/Ib/0L5jX/BNWIE2cceS/bx3yVtZD9aZjpkOnzxOCz/t5U4ONLAmW59tLuCvRzaksjgR2Ogpd5KKPyNVhXPhg+g7rWu6yUc6ZA1ELJKIHsQHP47Hj7HqnvpKgGtbPCytboJrz+AtzXkFvy60eunrtlHfUsrdc2t1Db7qGtuZVtNE58uq+TNFWUcM2kgeZlO8jPTKMh0kZ/poiDTRVF2GiU56WSmJUbCqlSqCvc79NfAfBF5GUgXkfuxahW+H7XIomjPmgXrh2RZYxmjW8bjcFUh+b3/K3RYQQYPn3MAs0YV9jAm2avA0R/wc9m7l1HRVMGjxz5KQXpBh881xtD0xWKqn32W2tdewzQ14Ro1isILLyTr6O+QNmZMygwPi8tFxvTpZEyfTtGvL8W7eQv177xD3YIF7Lz3Xnbecw/uiRPJPv54cuYcj2NA30aQ+uzYv1i33qpaBS+dBCfeD8OPsuohmqqhqdKqpWi7NVZA3fbgbRt89RwMGI/M/m23b5Ef/OXeU8YY/jhvOcu21rBiey2VDV6qG30dHpvtdjAoN52SHDcDc9IZlONmSH46w/Iz2Gdwzq4kXCkVH2ElC8aYj0VkMnAa1pTAJmBGlFdCRE1HBY7ljeVMacknw1YGuX0bsj58XPfdGsPxwJcP8Mn2T7h21rVMKtx7iaTx+ah9/Q0qH36Y5q++wpaRQc7xx5P7w5Nw77dfyiQIXXENGUz+6aeRf/pp+MrKqXvtVWrmzaf8ppso/+tfyTrq2+T95BQyZhyQHP9edid4Bli3rlxXDN7o9lcQEeZ+b8//t63+ANVNPiobvFTUeymva2ZrdTPbapp2fVyyuYbKBu+u5+RmOJkyNJcRhR5GDshkdJGHGaX5ERm5U0qFJ+yxP2PMFqxVEAlpzwLHvTW2NpLpzSHH8Q3kxL6bXfsOjp+Xfc69S+7luBHHccLoPWdhjNdL1bPPUvH3B2ndtg1XaSkD515Dzpw52DIzYxl2QnEWF5F/1lnkn3UWLevWUf3001S/8CJ1r76Ga+RI8k49ldyTfoAtPfwVLAkrLSusVRiR5rDbKPSkUehJsxq4d6LZ52dzVRNLN1fz1opy1u1s4KN1FbvqJ2778WROnDKk8xdQSkVUdx0cH+ruBYwx50YunOgJLXDscOmkETK82eQ7KyBneszjC1XTUsPl71/OYM9grj7w6t3d+/x+al6ax8677sK3ZQvp06Yx8Oqr8Rw+G7Fpf/+eSBs5kuIrrmDAJZdQ++prVD35JGXXXcfOu+8m7/TTyDv1VBx5Xe8SmtDilCyEy+20M7rIw+giDz+YaiUFgYBhY2Ujh9/yDqvL6vH5A7qvhVIx0t3IwtnASuAlrNUPSaH9aggB0n0ebNjJsVdATuz/YmlbDWGM4Y8f/ZGdTTt5/NjHd3Xqq//vfym74Qa8a9binjSJgXPnknnIwckxdB5HNreb3BNPIPfEE2j87DMqHvg7O++8i4oHHyLvlJ9QeP752HNz4x1m5KVlw/KXYOt0a+VPZkHwY/CWPRhyh0LOUHDn9LrgN5JsNmF4QQZZbgf3vLOWv723jmEFGYwa4AneMhlV5GFccZYWTCoVYd19R/0Aa9OmM4EXgUeNMR9FPaookw4mIjK91uaVmbZKyI7f8Ob8dfN5c8ObXDrtUiYVTsK3fTtlN/6Futdewzl8GIP/7w6yjjpKk4QoyJg2jYxp02hetYqKB/5O5UP/oPqZZyn46bnkn3FGck3xHPkHWPnK7q6TO1db3SgbK6H9El5XVjBxGAL5I6FwjLV9e8EYa3VFDP8vigjzLjqELzZVsba8gbU76lm7o553VpbvalstAiMKM5lYks2kQTlMGpTNxEHZ1tSHUqpXumv3/CLwoojkAT8B/hps+/wocJcxpjoGMUZc+3bPEJIsOOv63GOhVwRqW2q54dMbmFI0hTMmnEH1c89R9ucbMH4/Ay7+X/LPPRdbEi177K/cY8cy+OabKDjvPHbccQc7br+DysefoOiSi8k58cTkmPIZfaR1ay/gt5KHms1Qsyl42wzVm6BmI6z/L/gadh/vyrKShwHjoWQ/GLgfDNzX6mAZJaWFmZQW7pm4tfoDbK5qYnV5Pcu31rJsaw1fbKxm/tJtu44pyXEzdVgeU4fnMW14HhNLsndt262U6lq4qyGqgHtF5AmsBkpzsbaD/k/0QousPQocO/hhn+m1hpo9OU6I0y+DqpYq3HY31467hG2//B/q33mHjAMPpOS6P+EaosVcseYeN5ah99xN4xdfUH7TzWz7/VVUPfMMA6/+A+n7RHcDr7ix2SGr2LoNmbb348ZA7VaoWG2NRuxcBTtWwpoFsOSfu4/LGwElk2HQ/rDfj62+DlHksNt2JRFHTdxdOVnT6GPZthqWb61lyeYaPt9QxctfWglEmsPGfkNymDo8jwNHFjCjNF+nL5TqRLffGWJVAx4NnIW1NfTLwJHGmHejHFtE7VHg2EG750xvDoYA6QXxmZ9ui+kq5/fxnn4RgYYGiq+8krzTT0uOv2QTWMaUKQz/5xPU/PvflN9yK+tPPpm8U37CgEt/jd2TRFMT4RCxVgvlDLZ2ywxVtx22LYVtS2D7Etj6BSx/Eao3wvG3xSNacjKczBpVuEffk+01zXy+sYrPNli3hz74hvvfXYfTLkwZmses0QUcPLqQ/YfmagGlUkHdrYa4BfgxVqfGR4GzjTHhNbLvx9oXODYJDPTmII5abDnR/QuoMzOKD2DfN9Yy9vknsY8YwfBHHyFt9Oi4xKL2JiLknnACWUceyY7/u5Oqxx+n/t33KLn+ejIPnBnv8PqHrIHWbex3dt/314lWt8l+ZGCOm+P2LeG4fa1twZu8fhaur+S/a3fy4ZoK7nhrNbcvWE2Gy87Bowv59oQijhhfRFGWO86RKxU/3Y0sXAqsBbKw9mi4sH1hnTHmsOiEFj3tl05W2IR9vDk447QSItDSwoH3f0jtK8vIOuYYBl1/XXIV0yURe1YWA39/JdnHHsPWK65g49lnk3f66RT9+tLU6M/QUy4P+Pv3Qqp0l53Dxg7gsLFWrVJ1o5eP11Xw/uqdvP11OW8uLwNg8tBcvj2+iCMnFDOhJEuLjFVK6S5Z6Pn2hgmgfbLQYBMyvTmk27fEviGTMWw673waFy5kwK8vpeC88/SHUALImDqVkS++SPltt1H16GM0fvopg++4nbQRfdvaPOk4XP0+WWgvN8PFMfuUcMw+JRhjWL6tlrdXlLPg63JufXMVt765ihGFmRy/XwnH7zeIcQOjvLupUv1Ad8mCE3jFGLM1FsFEU+dbVAdXQ/hyyHJ/CVmTYxZToLGRQH09jYsXM+jmm8mZc3zM3lv1nS09nYFXXonn0EPZ+tvLWP/Dkym5/jqyjzkm3qH1H/Y0qwBy6bNWsWP+qLgVEPeGiASXX+bwP0eOobyumQXLy3n5y63c/Z813Pn2GsYUeTh+v0F8b/9BjCjUEUGVnLpLFg4ArhaRKqzCxleAD037HY8SQFdbVNsDDtytmeTZKsATmX0dutO6Ywd1CxZAxjiG3X8fmbNmxeR9VeR5Dj2UES88z5ZLLmXLxZfQdPYSin77G8Sumx8x8nD48E54/jzra1fW7lUSg6bA0JnW1F+CjKYVZbk5deYwTp05jB11Lbz61TbmL9nG7W+t4rYFq5hRms/J04dw3L4lurJCJZXu+iz8DEBE9gWOA24AxonIW1iJw2vGmJ1RjzLCbO1+MKX7rGHEfCqtAq0oa62sZMM55xBwzsA2wKOJQhJwlpQw/NFHKPvLTVQ+/DDeTZsYfPNN2DIy4h1afB15NRz+O9jxNWxdDNsWWx8X/t3aYhsgZ5i18+b44+Ibaw8NyErjzINKOfOgUrbVNPHiF1t5dtEmfvvcUua+tIw5kwdx8vShTB2Wq1OLKuGF22fhS6wVEX8RkRyspZTfBW4SkY3ANcaY16MXZmS1/8ZN91ktlT226Ddk8tfWsvGcc/Ft3oLnnCPYsTHhBmlUJ8TlYuDVV+EaPpyyG29kwxlnMvS+e+O/DXa82Z1Wo6aB+2I1hMXaSrt8OWz8BF79Lbx3c8IlC6FKctL5xeGj+PnskSzaUMXTCzfx78VbeWrhJvYZnM3Zs0YwZ3KJbrWtElaPJw+NMTXGmGeMMWcZYwYB/wNURj606LHLnt+w7mCykJ6B9YMtSozPx5aLL6Fl7VqG3HUXzuIutt1TCSv/zDMYcvddtHzzDRtOPwPftm3dPynV2J3WdMTMC2Dcd63kIQmICAeU5nPLyZNZeNW3ue6EfWjxBfjNs0s4+Ma3+esbKymvTfjV5yoF9brSSERsInKmMWahMWZhJIOKvo5HFtKzo9c73hjD9uuvp+HDDyn54x/xHHJw1N5LxV/WEUcw7O9/p7Wigg2nn4F306Z4h9R/2ewQaI13FBHnSXNw+oHDeeOSw3j8pzOZPCSX/3t7DbNufJsFweWYSiWKvpQlO4F/RCqQWNpj6aQIc+qt9fHpudGbX6567HGqn3qagvPPI/ekH0TtfVT/kTF1CsMefphAfb2VMGzeEu+Q+iebIymThTYiwiFjCnnw7ANYcOlhtAYMX2+vjXdYSvVIdx0c/9DFw9Ebr4+C0KWT7WuNxjRn8pV4cWYXROW9m5Ysoeymm/B861sMuOSSqLyH6p/S95nEsEceZsOZZ7Hxp+dS+sQTOAoLu39iKrE5IJAc0xDdGV5gLa1MvPVkKtV1N7JwNTAFGNPBbWR0Q4ssY8w8Y8wFsHeBY5M/i3RbNZIV+WWT/poatlxyKc7iYgbd8Gfd5yEFucePZ+h999FavoON51+Av64u3iH1LzaHtdtlCtA1ESpRdbcaYgVwX0crHUTEDZwSlaiirf3eEF436baaiC+bNMaw7aqr8ZWXU/rE49hzciL6+ipxZEydwpA772TTz3/Olkt/zdB770Ecug4fSNqaha7owIJKNN39mfsi0Nmf263AI5ENJzban3RTIMdKFjyRXZ1QO38+dW++SdElF5M+OXadIVX/5DnkYAb+4Woa3n+f8ptvjnc4/YfdCY0VMP9SWPQQbFoI3oZ4RxUV2m9BJarumjJ1WrNgjGklQfeOMLJnu+emQA4Fzg0RTRZad+6k7LrrSZ88mfyzz47Y66rElvejH9GyZg2VjzyKa/Ro8k4+Od4hxd+kH0D51/Dls7DoweCdAgWjrN4Mg6fBkAOgZH9wJsfOj1qzoBJNSo6D2kLGFowJGVmI4DTE9j9dR6CxkZI/X69tf9Ueii+7DO+6b9h+7Z9IGzWKjKlT4x1SfI04FEa8an0zVm+Esq9g+1ewfSls+QyWvWAdZws2dxo6w0oehs+C7PhsKd9bOq6gElWnyYKIPA/c0FUPBRE5ALjCGJNQawFDhwJ9rQ78uKxkITMyVer1739A3euvM+Di/yVt1KiIvKZKHuJwMPjWW/jmRz9i86/+lxHPPYtzYPTbjPd7IpA33LqN/+7u++vLYfNC67ZpIXz+KHxyn/VY/igYcZiVcJQeBp7E6JZptGpBJZiuRhbuA+4RkWzgXWAlUAdkAWOBw4Fq4KooxxhVjV4XABn2ekjL7vPrGZ+PshtvxDl8GPnnntvn11PJyZ6Tw9C772b9j37M5ov+h+GPP4bNnRxD7BHnKbKSh7YEwt9qjT6s/wC+eQ++fA4++weIHX72brCtdP+kJQsqUXVa4GiMecMYcwBwGrAJmAn8EJgBbAR+YoyZaYx5MyaR9pGIzBGRvwU/33V/s9dqF5GWLhH5Tq568km8a9dSfPnvsLlcfX49lbzSRo9m0C030/zVV2z7/VUYX2r0Gugzu8PatXLWRXDaM3D5ejj1WTB+eOYseOMqWPcOtLbEO9JOac2CSjTd1iwYYxYBi2IQS1SFblEtITOHLcGRBXdm38s3Wquq2HHX3WQefDCeIw7v8+up5JcVbNS147bbaK2oYNg/HtKK+Z6yO2DMUXDcLbBiHnx8n7UttjMTRs6G0d+GccdBdkm8I9VrqxJWShY47jGy0NqWLPR9FKDyoYcI1NVRdPll+kNBha3wZxfgr6qi8uGHMc3NSHp6vENKPCIw43zr1lJvTU+sWQBr3oSVr8DLv4ahM2Hi92DCHMgdFtdwdWBBJZrUTBZCRxZ81j9BWlbf9oVorayk8ol/kn3ccbjHju3Ta6nU4yiMTqvxlJTmsba7Hn+cNd6/42trxGH5S/D6ldZt0BSYeALs96P4rKjQeQiVYFIyWQitTWibhkjLzurTS1Y8+CCmuZnCX17Yp9dRSkWQCBRNsG6zL4OKtbDiJStxWHANLJhrTVVMPgXGH28lGkqpvaRksrBngaMdlzRg8+T3+vVaKyqoeuKfZB//XdJGJtSWGUqlloJRcMgl1q1iLSx9GpY8BS/8zKpx+PZcmHlBVEMQ0WkIlXi6bPcsIr9p9/VR7b7+azSCirbQZKGlGdJs9ZDR+2Hgqif+aY0q/PwXkQhPKRULBaPgiCvhf5fAOa9ZPwNWvhz1t9VqJpWIutsbon2756fbfX1eBGOJi5ZmIU16nywEmpupeuopPEccQdrIERGOTikVdSIw/CCr6NEfmw2ttGRBJZrukoX2SXB3XycEW7tpCLetHjJ6Nw1RM28e/spK8s86K1LhKaXiwe4Evzfqb6MrpVQi6i5ZaJ//dvd1YgidhvC5ej0NYYyh8pFHSJswgYyZMyIZoVIq1mKULIC2e1aJp7sCRxGREeweQbC1+zohU2QJyZGaW92kpfUuWWj8dCHeNWspueEG/WtBqURnd0Eg+tMQ+pNCJaLukoVMYA17/v9eG/J5wqTHIjIHmOMude8aWDDG0BLIDE5D9DxZqH7uOWxZWWQfe0xkg1VKxZ7dBVUb4L//B5N/Yu1JESVas6ASTZfTEMYYmzHGHvzY0S1h9l42xswzxlwAu5sy+Vr8BHBa0xCunjVl8tfUUPf66+TMmaMbACmVDGacb/VjePNq+OsEePJU+PoV8Ed2zw4dhFSJKKX7LLQ0WkOO7qk932G7Zt58jNdL7g9PimhsSqk4GT4LznsTdqyELx63+i+sfBkyi2DqmXDATyPW7VEHFlSi6TRZEJH3CeP/tDHmsIhGFBNtyYL1F0PauIN6/ArV//oX7okTcU+cGNHIlFJxNmAcfOdPcOQfrP0lPnsE3r8VPrjN2ltixs9g2IG9HiIQrVpQCairkYW/h3w+CjgXeATYAAwDzgIeil5o0dM2suBtskYW0jJ6NsDSsnYtLStWUHzllRGPTSnVT9idMO5Y61a1Hhb+HT5/FJa9AAP3hYMugn1Oso7rIa1ZUImm09+SxphH2j4XkY+Bo40xy0Lu+ydWsnBNVCOMAhGrVMPb5AfAld6zZKH2lVdBhKyjj454bEqpfiivFL5zHRx+BSx9Bj6532oR/Z/rYdavYMrp4Axzt1AdWFAJqLs+C20msOcqCIBvgPGRDSc22poyeZutkQWXO/xkwRhD7auvkjF9Os7i6FVLK6X6IVcmTD8HfvEhnPIUeIrhld/A7ftZ0xQtdWG9jPZZUIkm3GThXeBhERkjIukiMhZ4EHg/eqFFU1uyYI0sON3hL+poWbUa77p1ZB93bFQiU0olAJvNmp746Ztw1nwYuI+1g+Udk+HDu8DX3OlTBbTCUSWccJOFs4MflwH1wJdY/+fPiUJMUddWl9RWs9CTaYjaV18Bm42s73wnGqEppRKJCIyYxavHAAAdN0lEQVQ4FM54Ac5726pleOP3cOdUqzAyRntNKBVt3e06ORrAGFNpjPkJ4AYGAenGmFOMMTtjEGPkhUxDiE1wOMPNmaBuwQIyZszAUdD7XSqVUkloyDQ4899w5kuQNRDm/QruORBWvrZHRaNuUa0SUXe/JV8WkVUicntwe2qHMabMGBOIRXDRYguetrfZj8ttD7tVs3fzZrxr1uI5fHY0w1NKJbKRs+G8t+DHTwAGnvwxPH6S1b9BqQTVXQfHccAxWMWNlwJbROTfInKBiAyJRYBREUwOfE2tPSpurH/nXQCyDj88GlEppZKFCEw4Hn7xERz9Z9i8CO6dBTtWIghG106qBNPt+LsxZp0x5k5jzLFY/RUeAPYH3heRpSJyo4iMi3agkSQhBY6u9PCLG+vffRfX8OG4SkujFJlSKqk4XHDQL+H056xNqnaujndESvVK+JP1gDGmyRgz3xhzoTFmBHAKUAHsG5XooszbHP7IQqCxkcZPPsGjowpKqZ5y7N4/RkSbMqnEE/YYvIjkAOMAT+j9xpibIx1UtIV2cHR7XGE9p+HjjzFer9YrKKX6RHsyqUQUVrIgImcDd2Mtm2wMecgAIyMfVuSFblEd2mche0B40xANH3yAZGSQMW1a9IJUSqUEHVhQiSbcaYjrgR8aY4qNMSNCbgmRKEC7Lap3tXsOfxqi4ZNPyZg6FXGFNxKhlFIdCXf1lVL9SbjJggN4I5qBxNbuPguuMLo3tu7YgXftWjJmzoh2YEqpFKA1CyrRhJss/AW4Str+JE90IgT8AVq9gbC6NzYuXAhA5syZ0Y5MKZXkdFxBJaJwCxwvAQYCl4lIRegDxphhEY8qyoTd+0KEMw3R8Mmn2DIzcU+cGOXIlFKpQDeSUokm3GTh9KhGEWsi+FqCm0ildT8N0fjJJ2RMn444eraVtVJK7UWHFlQCCuu3nzHm3WgHEksSkiw40rqeWfGVl+Ndv57cH/0oFqEppVKA1iyoRNNpsiAi14bzAsaYP0QunNhp9QZHFlxdjyw0LV4MQMa0qVGPSSmV/HRgQSWirkYWhoZ87gZOAhYCG7DaPs8A/hW90KJHkF3JgqO7ZGHJEsTpJG3ChFiEppRSSvU7nSYLxphz2j4XkaeAU4wx/wq57wfAydENL3p8LdbGmd3VLDQtWULaxAnYtL+CUioCRHQjKZV4wl0KeSzwYrv7/g0cF9lwYiPckQXT2krzV8tInzw5VqEppZRS/U64ycIa4Jft7rsQa+vqhORrq1noosCxZdUqTHOzJgtKqYgR0XbPKvGEuxbwPOAFEbkM2AIMBlqBH0QrsGgSEVpbWoGuRxaaliwBIH3y/jGJSymllOqPwl06+YWIjAEOBAYB24CPjDG+aAYXTT5vsGahy2RhKfaCApyDB8UqLKVUkhN06aRKPGF3GQomBu9HMZaY2l2z0Pk0RPOKFbj3maQbvyillEppybHXQw8JVlMmm0Ow2Tv+Jwh4vbSsXYt7vC6ZVEpFjohou2eVcFIyWQBo9Qa6nILwrlkDra24x4+LYVRKqWSn45QqEaVksiAi+Lz+LnssNH+9EoC08eNjFZZSKkVozYJKNCmZLAC0tvi7XAnR/PUKJCMD17CE21RTKdWPaQmUSkQpmSy0NWXqqrixZcXXuMeMQezd70qplFI9oQMLKtGkZLIAdDkNYYyheeVK0iboFIRSKtJEpyFUwknoZEFEckTkUxGpF5F9evA8fC2dFzi2bt9OoLYW9zgtblRKKaUSOlkAGoHvAs/19InWNETHyULL2nUAuEaN6ktsSim1F6tmQYcWVGJJ6GTBGOMzxuzozXNbvX4cnewL4V1nbXmRpsmCUkopFbtkQUQuEpFFItIiIg+3eyxfRF4QkQYR2SAip0Y1lmBTps6mIVrWrsOek4M9Pz+aYSilUpC2e1aJKOx2zxGwFbgOOBpIb/fY3YAXKAb2B14WkSXGmGUiMpCOpxl+aIzZ3ttgfN5Ap9MQ3rVrcY0apW2elVJKKWKYLBhjngcQkenAkLb7RSQTOAnYxxhTD3wgIi8BZwC/CyYEh/TlvUXkAuACAHepG6DLpZMt69bh+dYRfXlLpZTqkAis29HAS0u2kuV2kO12kOV2khX8mOmy6x8qqt+J5chCZ8YCfmPMqpD7lgCzw3myiLyCNRoxTkTuN8Y83P4YY8zfgL8BpI9INwG/AQMO594jC61VVfgrK0kbqfUKSqnIG5SbzqfrK/l0fWWHj9sEPGkOcjKc5Ge4KPCkkZ/poiDTRX7wVuBxkZ+ZRqHHRVGWG5cjocvPVALoD8mCB6hpd18NkBXOk40xx/X0DU2r9dHu3PsbzLvOWgmRNmpkT19WKaW69czPDqKi3ktds4/a5lbqmn3UNbcGb75dH2uafFQ2+iirbWbFtloqGrx4WwMdvmahx0VxtpuSHDfF2W4GZrsZmGPdSnLcDMnLwN3BH0dKhas/JAv1QHa7+7KBumi9oT/4DWfvIBv3rl8PgGukJgtKqchz2m27fpH3hDGGBq+fynovFQ0tVDZ42VnfwvaaFrbXNrO9pokt1c18vrGaygbvXs8vykpjWH4Gw/IzGBq8tX1dlJWGzaZTH6pz/SFZWAU4RGSMMWZ18L7JwLJIvomIzAHmuEvdBHzWfY6ORhY2bQK7HWdJSSTfXiml+kRE8KQ58KQ5GFaQ0eWxzT4/5bVWErG1uolNlY1sqmpkY2Ujn3xTyQuLt+yxIiPNYWPkAA+jizyMHuBhVFEmo4s8lBZk6oiEAmKYLIiII/h+dsAuIm6g1RjTICLPA9eKyHlY9QffB2ZF8v2NMfOAeekj0s/fNbLQQbLg27QZZ0kJ4ugPeZRSSvWc22lnWEFGp0mFtzXAlmASsbGykfU7G1izo57Fm6qYv3TrrkTCJjA0P4PRAzyML8liQkk2E0uyKS3I1JGIFBPL34hXAdeEfH068EdgLnAh8BBQDlQAvzDGRHRkIdSumoWOpiE2b8I5dMhe9yulVLJwOWyMKMxkRGHmXo81ef18E0we1pTXs3ZHPWvK6nl31Q5aA1YWke6075E8TByUzYSB2aR3sZOvSmyxXDo5Fysx6OixSuCEWMXS3chC1pFHxioUpZTqV9JddiYOshKAUC2tflaX1bNiWy3Lt9WyYlst85ds5Z+fbATAbhPGD8xi/6G57D80lynDchlZ6NERiCSRkmPtfp+VHTvajSz46xvwV1biHDo0HmEppVS/leaws8/gHPYZnLPrPmMMW2uaWbalhqWba1i8qZqXFm/liWACkZXmYL+hOew/NJfppflMH55HltsZr1NQfZAyycIeBY5+K1loP7Lg27IZAJdOQyilVLdEhMG56QzOTec7kwYCEAgY1u2s54uN1SzZXM3iTdXc/+467v7PWmwCkwblMGNEPjNH5HNAaT55ma44n4UKR8okC+EUOPo2W8mCc4iOLCilVG/YbMLooixGF2Vx8nTrZ2mT188XG6v4+JtKPllXwWMfb+DBD74BYPzALGaOyOfQMQM4aFQBmWkp82spoaTkVQkEpyHaFzh6N20CwDlkcMxjUkqpZJXusjNrdCGzRhcCVv3D0s01fLKugk++qeSZRZt55KMNOO3C1GF5HDZ2AIeNGcCkQdla89BPpGSysKtmof3IwqbN2Dwe7Lm58QhLKaVSQprDzgGl1jTERVjJw2frq3h39Q7eX7WTm19fyc2vryQ/08Uhows5ckIRh48rIidd6x3iJSWThUBrxzUL1rLJobqJi1JKxVCaY/fIwxXHQnldM/9ds5P3Vu3kvVU7eGnJVhw24cCRBRw1sZhvTyxmcG77zYtVNKVMshBa4NhZu2ffps2kjdINpJRSKp6KstycOGUIJ04Zgj9gWLypijeWl/Hm8jKueWkZ17y0jEmDsjlqYjHf3beEMcVhbSWk+iBlkoXQAseORhZMIIBv82Y8s8Pa7FIppVQM2G3CtOH5TBuezxXHTmDtjnoWBBOHO95aze0LVjN+YBZzJg/i+P1KGF6wd6Mp1XcpkyyE8vuskYXQPgv+qiqM14tz0KB4haWUUqobowZ4GDXbw89mj6K8rplXv9zOvCVbd9U57Dckhzn7DeL4ySWU5OhURaSkZLLQNrJgc+yuTWgtKwPAUVwUl5iUUkr1TFGWm7NmlXLWrFK2VDfxytJtzFu6letfWcGfX13BIaMLOXn6UL4zsVg3xOqjlEwWWlsD2B22PQoZfcFkwVlcHK+wlFJK9dLg3HTOP2wk5x82kvU7G3j+iy3867PN/OrJL8h2O/je/oM4edpQ9huSo0XsvZCSyYLfZ/ZaCdFaVg6AQ5MFpZRKaKWFmVx61FguPnIMH62r4NlFm3h20WYe/3gjY4s9nDZzOD+YOlhbT/dAyiQLe7R7bg3snSyUl4EIjoKC+ASolFIqomw24eDRhRw8upBrm33MX7KNpxdu5JqXlnHTa19z4tTBnHFgKeMG6mqK7qRMsrBnu2ez1yZSvrIy7IUFiFMzTaWUSjbZbienzhzGqTOHsWRTNY9+tIFngqMNM0bkc+ZBwzl60kCc9r13I1YplCyE8vs6GFkoK8dZpFMQSimV7CYPzeXWobn8/rsTeHbRJh7/ZAMX/fMLBuemc+4hI/jJAUN1j4p2UjKF8reavRoytZaVab2CUkqlkPxMFz+bPYp3fnMED5w5ncG56fxp/nJm3fg2N7/+NeV1zfEOsd9IydSp45qFctKnT4tTREoppeLFbhOOmljMUROL+XxjFX97dx33vLOWB977hh9MHcwvDh+V8s2eUjJZ8PsC2EN6LASam/HX1OiySaWUSnFTh+Vx3xnT+GZnA39/fx3PfraZZz/bzElTB3PREWMYVpAR7xDjImWmIURkjoj8DSDg33MaorU8uGxSaxaUUkoBIwozuf7EfXn/siM486DhvLh4K9+69R0uf24pmyob4x1ezKVMsmCMmWeMuQCsmgVbSMWrdm9USinVkeJsN9fMmcT7lx3B6QcO54XFWzjilne44vmllNWmTk1DyiQLoYzfYLOHdm+0RhZ0GkIppVRHirPdzP3e7qThuc82M/vm/3DrGyupb2mNd3hRl5LJQsBvsIckC607dgDgGDAgXiEppZRKAG1Jw1uXHs5REwdy59trmH3Tf3jso/X4/IF4hxc1qZksBPYcWfBXVoLTiS07O45RKaWUShTDCjK485Qp/PuXBzO6yMPV/17G0be9x39Wlsc7tKhIzWTBH8AWWuBYWYEjL083F1FKKdUjk4fm8tQFB/LgWdMBOOcfC7ng0UVJVwSZksmCVeAYMrJQUYld94RQSinVCyLCkROKefXiQ7nsmHG8v3on3/7ru9z51mqaff54hxcRKZksBPztVkNUVeLIy4tjREoppRJdmsPOhYeP5q1fz+bICUXc+uYqjrn9PT5aWxHv0PoshZMFHVlQSikVeYNy07nntGk89tMZGOCUBz7myhe+pK7ZF+/Qei1lkoU9mjIFAnsVODrydWRBKaVU5Bw6ZgCv/e9hnHfICJ76dCPfSeACyJRJFkKbMgVaDfbgNESguZlAYyP2fB1ZUEopFVnpLjtXHT+Rf/1iFp40B+c9sighN6hKmWQhVOg0hL+yEgC7jiwopZSKkinD8rjoW6PxBwx1zYnXxCnlkgXBShLakoXWCitZcGjNglJKKdWhlEsWMNaHXSMLVcGRBV0NoZRSSnUo9ZKF4MhC266T/qoqAF06qZRSSnUi5ZKF9tMQ/upqAOy5uXGLSSmllOrPUi5ZaNPWlKm1uhpsNt0XQimllOpEyiULYvYcWQjU1GDPzkZsKfdPoZRSSoUlBX9D7j0NYc/JiWdASimlUogx8Y6g51IuWWjr29jWlMlfXa31CkoppVQXUiZZ2N3uuV2fBU0WlFJKxYCIdH9QP5UyyUJbu+f2qyEC1TWaLCillFJdSJlkYZddTZlCpyG0ZkEppZTqTMolC7tGFhyC8XqtTaR0ZEEppZTqVMolC7s6ONrF6rGANmRSSimlupJyyUJbeYnNbiNQUwNosqCUUkp1JeWShdDVEP7aWutz7d6olFJKdSrlkgUJ2XXSX1cHgD0rK44RKaWUSi2J15Up5ZKF3SMLNgL1DdbnHk88A1JKKZUCErfLQgomC6F9FgL11siCJgtKKaVU51IuWWhjJQv1ANg1WVBKKaU6lXLJwq6RBZsNf1092O1Ienqco1JKKaX6r5RLFggpcAzU12P3eBK6X7dSSikVbamXLARHFsQGgfo6rVdQSimlupFyyUK2y1omKSL46+qx6bJJpZRSqkspkyy0bVEtrW01C9Y0hM2TGefIlFJKpRKTeG0WUidZaNui2u22ihnFLvjr67B7dGRBKaVU9CVyeVzKJAu7tBU4ihCob9BpCKWUUqobKZcsmGC2IDYI1NXpNIRSSinVjZRLFnYR8NfX6zSEUkop1Y3USxZMcN7I5wOfT5dOKqWUUt1IvWQBEJsQCO44acvSZEEppZTqSsolC8YEk4W2fSG0wFEppZTqUsolC2AlC/46K1mwZerIglJKKdWVFEwWjNWQqbERAFumroZQSikVOwnYkykFkwVjLZs0zU0A2NLdcQ5IKaVUKmjb9TgRpVyyYAi2em5qSxZ0e2qllFKqKymXLIC1iVSgqdn6XJMFpZRSqkuplywYsNmFQFOwZsGt0xBKKaVUV1IuWTBYIwsmOLKg0xBKKaVU11IuWcAYa1+IYIGj6MiCUkop1aXUSxaw+iyYpiYkLQ2x2+MdjlJKKdWvpV6yYNpWQzRrvYJSSqmYMwnYaCHlkgVDsN1zU5OuhFBKKRUzkrhtFlIvWYDgNERzkxY3KqWUUmFI6GRBRA4SkY9E5F0ReVJEnN0+KWQaQrR7o1JKKdWthE4WgA3At4wxs4F1wPe7f4rZNQ1hS8+IcnhKKaVU4nPEO4C+MMZsDfmyFQh0/xyw2cA0NWHz6I6TSimlVHdiNrIgIheJyCIRaRGRh9s9li8iL4hIg4hsEJFTe/jaI4BjgflhHb+rwFGnIZRSSqnuxHJkYStwHXA00L6y8G7ACxQD+wMvi8gSY8wyERkIPNfB6/3QGLNdRLKBR4AzjDHecAIREQLNzToNoZRSSoUhZsmCMeZ5ABGZDgxpu19EMoGTgH2MMfXAByLyEnAG8DtjzHbgkI5eU0QcwJPAXGPMyvAC2d2USfssqH4nERdgK6V6xJB43+diYvzDSUSuA4YYY84Ofj0F+NAYkx5yzG+A2caYOd281hnAbcBXwbvuNcY83cFxFwAXBL/cJ+T4VFQI7Ix3EHGUyuefyucOev56/ql9/uOMMVm9fXJ/KHD0ADXt7qsBuj0pY8xjwGNhHPc34G8AIrLIGDO9F3EmBT3/1D3/VD530PPX89fz78vz+8PSyXogu9192UBdHGJRSimlVDv9IVlYBThEZEzIfZOBZXGKRymllFIhYrl00iEibsAO2EXELSIOY0wD8DxwrYhkisjBWM2Vup1e6KW/Rel1E4Wef+pK5XMHPX89/9TWp/OPWYGjiMwFrml39x+NMXNFJB94CDgKqMBaBfHPmASmlFJKqS7FfDWEUkoppRJLf6hZUEoppVQ/lpTJQrjto8XyFxGpCN5uEknkHcd7dO5zRcQnIvUht5GxjjfSumor3sGxl4jIdhGpEZGHRCQtRmFGRbjnLiJni4i/3bU/PHaRRoeIpInIg8H/93Ui8oWIHNvF8Ulz/Xty7kl8/R8XkW0iUisiq0TkvC6OTZpr3ybc8+/t9U/KZIE920efBtwrIpM6OO4C4ASs1Rf7AccDP4tVkFES7rkDPG2M8YTc1sUsyuhpayv+UFcHicjRwO+AI4FSYCTwx2gHF2VhnXvQR+2u/TvRDS0mHMAmYDaQA1wNPCMipe0PTMLrH/a5ByXj9b8BKDXGZAPfA64TkWntD0rCa98mrPMP6vH1T7pkIaR99NXGmHpjzAdAW/vo9s4CbjXGbDbGbAFuBc6OWbAR1sNzT0rGmOeNMS9iFcp25SzgQWPMMmNMFfAnEvjaQ4/OPSkZYxqMMXONMeuNMQFjzHzgG6CjH5hJdf17eO5JKXgtW9q+DN5GdXBoUl37Nj04/15JumQBGAv4jTGrQu5bAnT01/Wk4GPdHZcoenLuAHNEpFJElonIL6IfXr/S0bUvFpGCOMUTa1NEZGdwuPJqsfZZSSoiUoz1PdFRz5akvv7dnDsk6fUXkXtEpBH4GtgGvNLBYUl77cM8f+jF9U/GZKEn7aPbH1sDeBK4bqEn5/4MMAEYAJwP/EFETolueP1KR9cewmgzngTew9ojpQhrJOoU4LdxjSjCRMQJPAE8Yoz5uoNDkvb6h3HuSXv9jTEXYl3DQ7H697R0cFjSXvswz79X1z8Zk4WetI9uf2w2UG8Sdz1p2OdujFlujNlqjPEbYz4E7gB+GIMY+4uOrj2kQJtxY8w6Y8w3weHqL4FrSaJrLyI2rKZuXuCiTg5Lyusfzrkn+/UP/kz7AGt3445GTJPy2rfp7vx7e/2TMVnoSfvoZcHHujsuUfSldbYBEnVEpTc6uvZlxphUnO9PmmsfHBV8EKvA9yRjjK+TQ5Pu+vfg3NtLmuvfjoOO5+yT7tp3orPzby+s6590yUIP20c/ClwqIoNFZBDwa+DhmAUbYT05dxH5vojkiWUG8Cvg37GNOPKkk7biHRz6KPBTEZkoInnAVSTwtYfwz11Ejg3OaSMi47Eq5xP+2gfdizW9NscY09TFcUl3/Qnz3JPx+otIkYj8REQ8ImIPrng4BXi7g8OT7tr35Px7ff2NMUl3A/KBF4EGYCNwavD+Q7GmGdqOE+AmoDJ4u4lgV8tEvfXg3J/EqpqvxyqG+VW8Y4/Q+c9ldyVw220uMCx4rsNCjr0UKANqgX8AafGOPxbnDtwSPO8GYB3WMKQz3vFH4PyHB8+5OXi+bbfTkv369+Tck/H6Y9VevQtUB6/nl8D5wceS+tr39Px7e/213bNSSimlupR00xBKKaWUiixNFpRSSinVJU0WlFJKKdUlTRaUUkop1SVNFpRSSinVJU0WlFJKKdUlTRaUUn0SbG6zKMbvmSYiX4tIUSzfV6lUpcmCUmoPIrJeRJpEpD7kdlcXT/kTVqOX0Od7RaSw3esuFhEjIqXdvP9gEWkVkb1a1YrICyJyi7G24n0IuLwn56aU6h1NFpRSHZljjPGE3DrclEhESoAjsLqGhvoGq91s23H7AunhvLExZgvwFnBGu/fKB44DHgne9U/gLBFJC+d1lVK9p8mCUqovjgI+N8Y0t7v/MeDMkK/PwurJv0twKuEWEdkoImUicp+ItCUUj9AuWQB+Aiwz1k55GGM2A1XAgRE6F6VUJzRZUEr1xb7Ayg7u/xjIFpEJImIHfgw83u6YvwBjgf2B0cBg4A/Bx14ACkXkkJDjz6BdwgGsYM8dBJVSUaDJglKqIy+KSHXI7fxOjssF6jp5rG104Siszcq2tD0Q3E75fOASY0ylMaYO+DPW6AHG2jXx2eDzCW67Pg1r6iFUXTAGpVQUdbR1r1JKnWCMWRDGcVVAViePPQa8B4xg7xGBAUAG8JmVNwDWLrD2kGMeAeaJyK+wRhVeM8aUt3udLKyd9pRSUaQjC0qpvliKNZWwF2PMBqxCx+OA59s9vBNoAiYZY3KDtxxjjCfk+e9jbaP+feB09k44ACYAS/p8FkqpLmmyoJTqizeBqSLi7uTxnwLfMsY0hN5pjAkADwC3tfVKCC6ZPLrd8x/Fqm3IBeaFPiAig4F8rPoIpVQUabKglOrIvHZ9Fl7o6CBjTBnwNtZf/x09vtYY01nDpsuBNcDHIlILLADGtTvmUWAY8HSwt0KoU4FHOrhfKRVhYoyJdwxKqQQmIhOx6gtmmBj9QAn2VlgCHNZBHYNSKsI0WVBKKaVUl3QaQimllFJd0mRBKaWUUl3SZEEppZRSXdJkQSmllFJd0mRBKaWUUl3SZEEppZRSXdJkQSmllFJd0mRBKaWUUl36f6iazd9CvMgHAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot geoneutrino spectra figure\n",
    "fig, ax = plt.subplots(1,1,figsize=(8,6))\n",
    "for N in u238, th232, u235, k40, rb87:\n",
    "    ax.semilogy(N.x, N.y, label=N.name)\n",
    "ax.set_xlim(0,3.5)\n",
    "ax.set_ylim(1e-2,6e1)\n",
    "ax.set_xlabel('E (MeV)')\n",
    "ax.set_ylabel('dn/dE (1/MeV/decay)')\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.8045 1.8055 1.8065 ... 4.4985 4.4995 4.5005]\n",
      "232Th  ntot = 3.9714  nIBD = 0.1548  fIBD = 0.03897\n",
      "238U   ntot = 6.0077  nIBD = 0.3884  fIBD = 0.06466\n"
     ]
    }
   ],
   "source": [
    "# number of antineutrinos above IBD threshold per decay\n",
    "print(th232.x[1804:])\n",
    "#print(u238.x[1804:])\n",
    "dx = 0.001\n",
    "for N in th232, u238,:\n",
    "    N.ntot = np.sum(N.y) * dx\n",
    "    N.nIBD = np.sum(N.y[1804:-1]) * dx\n",
    "    N.fIBD = N.nIBD / N.ntot\n",
    "    print (\"{:5s}  ntot = {:.4f}  nIBD = {:.4f}  fIBD = {:.5f}\".format(N.name, N.ntot, N.nIBD, N.fIBD))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_MeV = th232.x\n",
    "sigmaIBD = np.zeros(x_MeV.size)\n",
    "xtmp = x_MeV[1804:]\n",
    "Delta = mn_MeV - mp_MeV\n",
    "sigmaIBD[1804:] = 9.52e-44 * (xtmp-Delta)**2 * np.sqrt(1.-(me_MeV/(xtmp-Delta))**2)\n",
    "\n",
    "fig, ax = plt.subplots(1,1,figsize=(8,6))\n",
    "plt.semilogy(x_MeV, sigmaIBD)\n",
    "plt.xlim(0,3.5)\n",
    "plt.ylim(1e-46,1e-42)\n",
    "plt.xlabel('E (MeV)')\n",
    "plt.ylabel('$\\sigma_{IBD}$ (cm$^2$)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1,1,figsize=(5,6))\n",
    "for N in u238, th232:\n",
    "    ax.semilogy(N.x, N.y * sigmaIBD, label=N.name)\n",
    "plt.xlim(0,3.5)\n",
    "plt.ylim(1e-46,1e-43)\n",
    "plt.xlabel('E (MeV)')\n",
    "plt.ylabel('Interaction spectrum (cm$^2$/MeV/decay)')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig1, (ax1, ax2) = plt.subplots(1, 2, figsize=(14,6), gridspec_kw={'width_ratios': [1.8, 1], 'wspace': 0.4})\n",
    "#\n",
    "for N in u238, th232, u235, k40, rb87:\n",
    "    ax1.semilogy(N.x, N.y, label=N.name)\n",
    "ax1.set_xlim(0,3.5)\n",
    "ax1.set_ylim(1e-2,6e1)\n",
    "ax1.set_title('Geoneutrino production spectrum')\n",
    "ax1.set_xlabel('E (MeV)')\n",
    "ax1.set_ylabel('dn/dE (1/MeV/decay)')\n",
    "ax1.legend(bbox_to_anchor=(0.3, 1))\n",
    "ax1b = ax1.twinx()\n",
    "ax1b.semilogy(x_MeV, sigmaIBD, 'k--', label='sigma')\n",
    "ax1b.text(2.3, 1.3e-43, 'IBD cross section', fontsize=12, rotation=30)\n",
    "ax1b.set_ylim(1e-45,1e-42)\n",
    "ax1b.set_ylabel('$\\sigma_{IBD}$ (cm$^2$)')\n",
    "#\n",
    "for N in u238, th232:\n",
    "    ax2.semilogy(N.x, N.y * sigmaIBD, label=N.name)\n",
    "ax2.set_xlim(0,3.5)\n",
    "ax2.set_ylim(1e-46,1e-43)\n",
    "ax2.set_title('IBD interaction spectrum')\n",
    "ax2.set_xlabel('E (MeV)')\n",
    "ax2.set_ylabel('Interaction spectrum (cm$^2$/MeV/decay)')\n",
    "ax2.legend()\n",
    "#\n",
    "#plt.savefig('../manuscript_latex/fig2_spectra.pdf', bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig1, (ax1, ax2) = plt.subplots(1,2,figsize=(8,5))\n",
    "\n",
    "N = 3\n",
    "ind = np.arange(N)    # the x locations for the groups\n",
    "width = 0.5       # the width of the bars: can also be len(x) sequence\n",
    "\n",
    "y = 32.1\n",
    "p = 5.0\n",
    "m = 5.0\n",
    "means = (23.6, 27.9, 26.1)\n",
    "plus = (6.8, 7.3, 2.6)\n",
    "minus = (5.2, 5.8, 2.6)\n",
    "ax1.plot((-1,N), (y,y), 'C4')\n",
    "ax1.plot((-1,N), (y+p,y+p), '--C4')\n",
    "ax1.plot((-1,N), (y-m,y-m), '--C4')\n",
    "ax1.text(-0.3, 33, 'measurement', color='C4')\n",
    "ax1.set_xlim(-0.5,2.5)\n",
    "ax1.set_ylim(0,58)\n",
    "ax1.set_ylabel('Geoneutrino signal in TNU')\n",
    "ax1.bar(ind, means, width, yerr=(minus,plus), color=('C0','C2','C1'))\n",
    "ax1.set_title('KamLAND')\n",
    "ax1.set_xticks(ind)\n",
    "ax1.set_xticklabels(('Huang+13', 'Wipp+20', 'KamLAND19'))\n",
    "\n",
    "y = 47.0\n",
    "p = 8.6\n",
    "m = 8.1\n",
    "means = (31.9, 32.3, 25.9)\n",
    "plus = (7.3, 7.9, 4.9)\n",
    "minus = (5.8, 6.4, 4.1)\n",
    "ax2.plot((-1,N), (y,y), 'C4')\n",
    "ax2.plot((-1,N), (y+p,y+p), '--C4')\n",
    "ax2.plot((-1,N), (y-m,y-m), '--C4')\n",
    "ax2.text(-0.3, 48, 'measurement', color='C4')\n",
    "ax2.set_xlim(-0.5,2.5)\n",
    "ax2.set_ylim(0,58)\n",
    "ax2.bar(ind, means, width, yerr=(minus,plus), color=('C0','C2','C3'))\n",
    "ax2.set_title('Borexino')\n",
    "plt.xticks(ind, ('Huang+13', 'Wipp+20', 'Borexino20'))\n",
    "\n",
    "#plt.savefig('../manuscript_latex/fig7_discrepancy.pdf', bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "NFL(TNU) = [ 0.6 22.8 17.1 17.8 29.8 19.5 17.2]\n",
      "Tot(TNU) = [ 12.6  42.7  53.1  63.6  65.3  92.  393.4]\n",
      "Man/gTot = [0.74358974 0.19856459 0.23850575 0.19806763 0.13846154 0.18552036\n",
      " 0.21079692]\n",
      "FFL/gTot = [0.20512821 0.25598086 0.27011494 0.37198068 0.35213675 0.37330317\n",
      " 0.3470437 ]\n",
      "NFL/gTot = [0.05128205 0.54545455 0.49137931 0.42995169 0.50940171 0.44117647\n",
      " 0.44215938]\n",
      "Man/Tot = [0.69047619 0.19437939 0.15630885 0.12893082 0.12404288 0.08913043\n",
      " 0.02084392]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 7\n",
    "label = ('OBD', 'ANDES', 'KamLAND', 'Borexino', 'JNE', 'SNO+', 'JUNO')\n",
    "\n",
    "# geonu from Uncle O [CRUST1.0] as in Šrámek et al. 2016 Sci.Rep.\n",
    "# total, mantle, far-field litho, near-field litho\n",
    "gtot = np.array([ 11.7, 41.8, 34.8, 41.4, 58.5, 44.2, 38.9 ])\n",
    "gman = np.array([  8.7,  8.3,  8.3,  8.2,  8.1,  8.2,  8.2 ])\n",
    "gffl = np.array([  2.4, 10.7,  9.4, 15.4, 20.6, 16.5, 13.5 ])\n",
    "gnlf = gtot - gman - gffl\n",
    "\n",
    "# reactor in geonu energy range\n",
    "# Baldoncini et al. 2015; Wan et al. arXiv:1612.00133)\n",
    "reac = np.array([ 0.9, 0.9, 18.3, 22.2, 6.8, 47.8, 354.5 ])\n",
    "\n",
    "# total antineutrino\n",
    "nutot = gtot + reac\n",
    "\n",
    "# % total signal\n",
    "relgman = gman / nutot * 100\n",
    "relgffl = gffl / nutot * 100\n",
    "relgnlf = gnlf / nutot * 100\n",
    "relreac = reac / nutot * 100\n",
    "\n",
    "print ('NFL(TNU) =', gnlf)\n",
    "print ('Tot(TNU) =', nutot)\n",
    "print ('Man/gTot =', gman/gtot)\n",
    "print ('FFL/gTot =', gffl/gtot)\n",
    "print ('NFL/gTot =', gnlf/gtot)\n",
    "print ('Man/Tot =', relgman/100.)\n",
    "\n",
    "ind = np.arange(N) + 0.2 # the x locations for the groups\n",
    "width = 0.6              # the width of the bars: can also be len(x) sequence\n",
    "\n",
    "# Two subplots, the axes array is 1-d\n",
    "f, (ax0, ax1) = plt.subplots(2, sharex=True, figsize=(8, 6))\n",
    "#ax0.set_title('Antineutrino detectors')\n",
    "ax0.set_xticks(ind)\n",
    "ax0.set_xticklabels(label)\n",
    "# top subplot\n",
    "ax0.bar(ind, relgman, width, edgecolor='black', color='#8bc42d')\n",
    "ax0.bar(ind, relgffl, width, edgecolor='black', color='#206eb0', bottom=relgman)\n",
    "ax0.bar(ind, relgnlf, width, edgecolor='black', color='#e85d1e', bottom=relgman+relgffl)\n",
    "ax0.bar(ind, relreac, width, edgecolor='black', color='#aaaaaa', bottom=relgman+relgffl+relgnlf)\n",
    "ax0.set_ylim((0,108))\n",
    "ax0.set_yticks(np.arange(0, 104, 10))\n",
    "ax0.set_ylabel('% antineutrino signal')\n",
    "# annotate mantle/antinu percent\n",
    "for xp, yp, zp in zip(ind, relgman/2., relgman):\n",
    "    if zp > 8.:\n",
    "        ax0.text(xp, yp, \"{:.0f}%\".format(zp), horizontalalignment='center', verticalalignment='center')\n",
    "# bottom subplot\n",
    "ax1.bar(ind, gman, width, edgecolor='black', color='#8bc42d')\n",
    "ax1.bar(ind, gffl, width, edgecolor='black', color='#206eb0', bottom=gman)\n",
    "ax1.bar(ind, gnlf, width, edgecolor='black', color='#e85d1e', bottom=gman+gffl)\n",
    "ax1.bar(ind, reac, width, edgecolor='black', color='#aaaaaa', bottom=gman+gffl+gnlf)\n",
    "ax1.set_ylim((0,100))\n",
    "ax1.set_yticks(np.arange(0, 101, 10))\n",
    "ax1.set_ylabel('Antineutrino signal in TNU')\n",
    "# legend\n",
    "ax1.scatter(0, 90, s=200, color='#aaaaaa', marker='s', edgecolors='black')\n",
    "ax1.scatter(0, 78, s=200, color='#e85d1e', marker='s', edgecolors='black')\n",
    "ax1.scatter(0, 66, s=200, color='#206eb0', marker='s', edgecolors='black')\n",
    "ax1.scatter(0, 54, s=200, color='#8bc42d', marker='s', edgecolors='black')\n",
    "ax1.text(0.2, 90, 'Reactor background',       verticalalignment='center')\n",
    "ax1.text(0.2, 78, 'Crust: closest 500 km',    verticalalignment='center')\n",
    "ax1.text(0.2, 66, 'Crust: rest of the world', verticalalignment='center')\n",
    "ax1.text(0.2, 54, 'Mantle',                   verticalalignment='center')\n",
    "ap = dict(width=0.2, facecolor='black', headwidth=8, headlength=8 )\n",
    "xp = ind[N-1]-0.15\n",
    "ax1.annotate(\"{:.0f} TNU\".format(nutot[N-1]), xy=(xp-0.06, 98), xytext=(xp-0.06, 78), arrowprops=ap)\n",
    "# save figure\n",
    "#plt.savefig('../manuscript_latex/fig8_7detectors.pdf', bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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