From 107cc15a849d95740f81070a33c4e1ca349bbc4a Mon Sep 17 00:00:00 2001 From: Simon Guichandut <40605210+simonguichandut@users.noreply.github.com> Date: Wed, 17 Jul 2024 10:31:25 -0400 Subject: [PATCH] New model for xrb_layered with a lot more carbon (#474) The new model is at Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_hot_carbon_3cm.hse Some other updates to documentation in the readme's. --- Exec/science/xrb_layered/README.md | 12 +- .../create_initial_model/Initial_Model.ipynb | 556 ++- .../create_initial_model/README.md | 8 +- .../create_initial_model/mesa/profile4.data | 1312 +++++++ .../create_initial_model/mesa/profile5.data | 1332 +++++++ .../create_initial_model/toy_atm/_parameters | 3 + .../create_initial_model/toy_atm/init_1d.H | 4 +- .../toy_atm/init_1d_carbon.H | 573 +++ .../toy_atm/inputs_hot_carbon | 32 + .../create_initial_model/toy_atm/main.cpp | 7 +- .../toy_atm/toy_atm_hot_carbon_3cm.hse | 1050 ++++++ .../toy_atm/toy_atm_hot_carbon_3cm.hse.extras | 3076 +++++++++++++++++ 12 files changed, 7884 insertions(+), 81 deletions(-) create mode 100644 Exec/science/xrb_layered/create_initial_model/mesa/profile4.data create mode 100644 Exec/science/xrb_layered/create_initial_model/mesa/profile5.data create mode 100644 Exec/science/xrb_layered/create_initial_model/toy_atm/init_1d_carbon.H create mode 100644 Exec/science/xrb_layered/create_initial_model/toy_atm/inputs_hot_carbon create mode 100644 Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_hot_carbon_3cm.hse create mode 100644 Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_hot_carbon_3cm.hse.extras diff --git a/Exec/science/xrb_layered/README.md b/Exec/science/xrb_layered/README.md index bc34b72b2..94846df66 100644 --- a/Exec/science/xrb_layered/README.md +++ b/Exec/science/xrb_layered/README.md @@ -4,6 +4,13 @@ Models the convection and burning in the envelope of a neutron star, where hydro has previously been depleted by the hot CNO cycle, leaving a pure helium layer at large depths, where the burst will ignite. +Appears in: + + * `Hydrodynamical simulations of proton ingestion flashes in Type I X-ray Bursts` + Guichandut, S.; Zingale, M.; Cumming, A, 2023. + https://arxiv.org/abs/2405.08952 + + This is the multidimensional version of a calculation previously done in MESA in: * `The imprint of convection on Type I X-ray bursts: Pauses in photospheric @@ -13,7 +20,6 @@ This is the multidimensional version of a calculation previously done in MESA in ## initial model -* `xrb_layered_3cm.hse` +* `toy_atm_hot_3cm.hse` -An initial MESA model is placed into eulerian HSE using the lagrangian_planar routines -from AMREX/initial_models. More detail in create_initial_model/README.md. +Build using a MESA model as a guide. More details in `create_initial_model/`. diff --git a/Exec/science/xrb_layered/create_initial_model/Initial_Model.ipynb b/Exec/science/xrb_layered/create_initial_model/Initial_Model.ipynb index f63196e94..472ab6a76 100644 --- a/Exec/science/xrb_layered/create_initial_model/Initial_Model.ipynb +++ b/Exec/science/xrb_layered/create_initial_model/Initial_Model.ipynb @@ -10,6 +10,21 @@ "We describe the reasoning for how to build the model used in xrb_layered. The toy model is meant to capture the physics of the relevant zones in the MESA model, while being easy to build. The code to build it is using the complete Helmoltz EOS in ```toy_atm/init_1d.H```." ] }, + { + "cell_type": "code", + "execution_count": 1, + "id": "1cf0b6b2-3349-45a5-94b5-efdd0c58703f", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib as mpl\n", + "import matplotlib.pyplot as plt\n", + "import mesa.py_mesa_reader as mr\n", + "from scipy import integrate\n", + "from scipy.optimize import fsolve,curve_fit" + ] + }, { "cell_type": "markdown", "id": "06094410-732d-43fc-ab5e-3593c9d3a898", @@ -17,12 +32,12 @@ "source": [ "## MESA models\n", "\n", - "The starting point is a MESA model as close as possible to ignition. We copy over profile37.data and profile38.data from the `make_ignition_model` run in github.com/simonguichandut/mesa_mixed_burst/." + "The starting point is a MESA model as close as possible to ignition. We copy over models 2104 (profile4.data) and 2105 (profile5.data) from the `make_ignition_model_for_hydro` run in github.com/simonguichandut/mesa_mixed_burst/." ] }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "id": "002fa146-8bd0-427d-b9ba-8e81b7a545eb", "metadata": { "tags": [] @@ -32,13 +47,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "Models #: 2102 2103\n", - "dt=2.7e-01 s\n" + "Models #: 2104 2105\n", + "dt=3.1e-01 s\n" ] }, { "data": { - "image/png": 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7nnnmGZ4dN47yZ5+F99+vmJY4fz40aVKxL5eIyFlERESwevVqysvL6du3L02bNuXJJ5/Ez88Ps9mMr68vK1eu5KabbqJ+/fpMmDCBd999tzJEfPnll2RnZ9OqVSvuvfdennjiCUJDQyuv/9///ve0UwU9PT155plnuPvuu+nUqRMeHh7MmjXrrLWaTCYWLlxIQEAA3bt3p3fv3tSpU4fZs2df1M/g1Vdf5YUXXmDixIk0atSIvn378v333xMTEwOAh4cHn3/+OV27dqVRo0aMGjWKW265hR9++KHKdWw2G19//TX3338/Tk5Op9ynqKiI+Ph4ysrKgIq9u77//nt27dpFq1atGD9+/CnTNkeMGMHtt9/OkCFD6NChA5mZmVVGtQCGDx9OgwYNKp/bWr16NQMGDGD06NGMHDmSli1bsmbNmspZFJeayTiXiZDXqLy8PPz8/MjNzcXX19fR5YiIVE9t2sCWLRhffcXfly9n+vTp+Pj4sGbNGpo2bXpRlzYMgwkTJvDGG28AcMMNNzBz5kyCkpLgvvtg+3aoXx82bgT9PS4iDlBeXk5oaCg//fRTlRGqr7/+mlGjRpGTk+O44uS8nE82qBYjWRMnTqRdu3b4+PgQGhrKwIEDiY+PP+s5y5cvx2QynfLavXv3ZapaRETIyICtWwH4cM8epk+fjtlsZs6cORcdsKDiN7qvv/463333HR4eHixZsoSOHTuSVrMm/O9/UKsW7NkDr7120fcSEbkQmZmZjB49mnbt2jm6FLmMqkXIWrFiBY8//jjr1q1jyZIlWK1W+vTpQ2Fh4V+eGx8fX7kpWUpKCrGxsZehYhERAeC338AwyK1dmycnTgTgww8/5MYbb7TrbYYOHcq6deuoXbs2+/bto127dqyKj4fjD5m//TZMnFixgbGIyGUUGhp63s+eSvVXLacLpqenExoayooVK+jevftp+yxfvpyePXuSnZ2Nv7//Bd1H0wVFRC7SQw/BF1/wkasr/7BYeOKJJ3j//fcv2e327NnDzTffzL59+wAY+fjjTHJxwXny5IoO48bBsamFIiIi5+Oqmy54stzcXIAqm7mdSatWrQgPD6dXr14sW7bsrH1LS0vJy8ur8hIRkQtkscCxVZz+a7HQuHHjS743Sf369dm0aRPDhw8H4KOPP6bHhg2UvvVWRYeJE2HyZI1oiYjIJVXtQpZhGIwZM4auXbuedT5/eHg4n332GfPmzWP+/Pk0aNCAXr16sXLlyjOeM3HixMpduv38/KrspC0iIudp8WLIyiLdxYVlwIMPPnjG/Wfsyc/Pj88++4zFixfj7+/PmjVr6PDtt6Q++GBFh9Gj4bbbKp4XExERuQSq3XTBxx9/nB9//JHff/+dWrVqnde5/fv3x2QynXFjtNLS0iqbqeXl5REZGanpgiIiF2LQIJg/n7eBZ0wmDh06RERExGUt4ffff2fgwIFkZmbi7urK2rvuouWsWRWjbC1bwpIlEBx8WWsSEZHq6aqdLviPf/yDRYsWsWzZsvMOWAAdO3Zk7969Zzzu5uaGr69vlZeIiFyArCz4/nsA/g107979sgcsgK5du7Jz505uueUWSiwW2n33HYvGj8cIDYVt26BFC/iLqeQiIiLnq1qELMMwGDlyJPPnz2fp0qWVm6Kdr61btxIeHm7n6kRE5BSzZ0NZGXHu7uwAhgwZ4rBSwsLCWLhwIffccw9Wq5UBL77I6GbNsMbGwpEj0KsXTJgAxzbGFBERuVjVImQ9/vjjfPPNN3z33Xf4+PiQmppKamoqxcXFlX3GjRvHsGHDKt9PnjyZhQsXsnfvXnbu3Mm4ceOYN28eI0eOdMRHEBG5tvz73wB8VlKCr68vd999t0PLcXJyYvr06bz66qs4Ozvz/m+/0by0lIzbbqtYBOP116F794o9tURERC7SpX8C2Q6mTp0KwHXXXVel/auvvuL+++8HICUlhaSkpMpjFouFsWPHcvjwYTw8PGjSpAk//vgjN9100+Uq265WDBqEkZAAwcGYw8Jwq1kTj8hIvGNiCKhfH7+oKMyX4YFyEZG/tGcPrFuHzWRipmHwyCOP4Ofn5+iqMJvNTJgwgZtvvpk77riDuAMHiExL45eRI+k+YwasW1cxffD11+HJJ8HJydEli4hcsM8++4xXX32Vw4cP895775GTk8PChQvZtm0bAPfff39l25UmISGBmJgYtm7dSsuWLR1dzgWpdgtfXE5X0j5Zf/j50eIsS8pbgWyTiRxXV/I9PSn29cUaGIgRGopTRATuUVF4xcTgFxtLYIMGeJzD8vciIhfk+efhtddY4uxMH6uVNWvW0KlTJ0dXVUV2djZ/+9vf+OmnnwB44e9/58VDhzAvWVLRoXNn+OorqF/fgVWKyNUoJiaGqVOn2n1T9hPl5eURHBzMe++9x6BBg/Dz88Nms1FaWkpQUBBw/iErMzOTv/3tb/z5559kZmYSGhrKgAEDeOONN6p8T/7ll1948cUX2blzJ+7u7nTv3p133nnnvB73uZCQdTlC4/lkAw19VBN5gwaxfMcOnLKzccvLw7OwEJ/SUvytVvyo+D8yxDAIKS2F0lLIzobExDNfD8h2dibP3Z0ib28svr6UBwdjqlEDl9q18YyOxrd+fYIaN8Y3MhKTuVrMLBURR7PZYMYMAL6wWgkMDKR9+/YOLupUAQEBfP/997z88su8+uqrvPLVVyzr2pXv33kHv5dfhjVrNKolInZ3PKD07Nnzgs4vKyvDxcXlL/slJSVRVlbGzTffXGU9Am9v7wu6L1TMBhgwYACvvfYaISEh7Nu3j8cff5ysrCy+++47AA4cOMCAAQMYM2YM3377Lbm5uYwePZrbb7+drVu3XvC9qyVDzig3N9cAjNzcXEeXclal+flGyubNxu7Zs43Nb75p/P7oo8ayW281lrVvb6yqW9fYGBRkxHl4GEfMZqO04umD83oVg5Hs5GRs9/Iy1oWFGSsaNjSWde1qLB882FgzZoyx7cMPjYO//mrkJicbtvJyR/84RMSRvv3WMMAodHEx3MF44IEHHF3RX1q4cKHh4+NjAEZERISxaf58w7jhhv//e7BzZ8OIj3d0mSJyHnr06GGMHDnSePLJJw1/f38jNDTU+PTTT42CggLj/vvvN7y9vY06deoYixcvrjxn586dRr9+/QwvLy8jNDTUuOeee4z09PTK43PnzjWaNm1quLu7G4GBgUavXr2MgoICwzAMY8OGDUbv3r2NoKAgw9fX1+jevbuxefPmU+p65ZVXjDvuuMMwDMP46quvDD8/P2PBggVGbGys4ebmZvTu3dtISkqq7P/iiy8aLVq0ML744gsjJibGMJlMhs1mMxITE41bb73V8PLyMnx8fIzBgwcbqampldcFqrwOHjxYea3j7rvvPmPAgAGV7202m/Hmm28aMTExhru7u9G8eXNj7ty5Z/05v//++0atWrWq/IycnZ2N8hO+Dy5atMgwmUyGxWI543XWr19vtGzZ0nBzczPatGljzJ8/3wCMrVu3GoZhGFar1XjggQeM6Ohow93d3ahfv74xefLkKj+nkz/zsmXLDMMwjKefftqIjY01PDw8jJiYGGPChAlnreVszicbaCTrKuDq7U2N1q2p0br1X/Y1bDZyk5PJ2r2b/AMHKEpIwHL4MLbUVExpabhmZ+OZl4dvcTGBZWX4Ae5ArfJyahUWQmEhHD16xusXAZnOzuQcGyErDQjAFhKCOSIC18hIvOrWxTc2luCmTfEKDbXbz0BErgAFBfDUUwD8y2ajBHjkkUccW9M5GDBgABs3buS2224jLi6OTkOG8MnUqTwweDD8858a1RI5zjCgqMgx9/b0BJPpvE6ZPn06Tz/9NBs2bGD27Nk8+uijLFy4kNtuu43nnnuOSZMmce+995KUlERubi49evRg+PDhvPfeexQXF/PMM89w5513snTpUlJSUhg6dChvvfUWt912G/n5+axatQrj2FM3+fn53HfffXzwwQcAvPvuu9x0003s3bsXHx+fypoWLVrEk08+Wfm+qKiI119/nenTp+Pq6spjjz3GXXfdxerVqyv77Nu3jzlz5jBv3jycjv39M3DgQLy8vFixYgVWq5XHHnuMIUOGsHz5coYMGUJkZCS9e/dmw4YNREZGEhIS8pc/rwkTJjB//nymTp1KbGwsK1eu5J577iEkJIQePXqc0v/IkSPMnz+/yrG2bdvi5ORUuW5CQUEBM2bMoE+fPmccgSssLOSWW27h+uuv55tvvuHgwYNVfkYANpuNWrVqMWfOHIKDg1mzZg0PP/ww4eHh3HnnnYwdO5a4uDjy8vL46quvAAg89miMj48PX3/9NREREWzfvp3hw4fj4+PD008//Zc/k4tyQTHuGlFdRrIupaLMTCN51Spj+7Rpxrpx44wVf/ubsaxnT2N506bGmpo1jT98fIyDLi5G3gWMkOWDkeDsbPzh42OsjYgwVjRpYizr2dNYce+9xvoJE4yd06cbRzZsMCyFhY7+MYjIuRg3zjDAyA4KMtzAaNWqlWGz2Rxd1TnLy8szbr/99srfgo4bN84oP3iw6qhWz56GcfCgo0sVcYyCgvP+t95ur2MjRueqR48eRteuXSvfW61Ww8vLy7j33nsr21JSUgzAWLt2rfH8888bffr0qXKN5ORkAzDi4+ONzZs3G4CRkJBwTve3Wq2Gj4+P8f3331e2HTp0yHBxcTEyMzMNw/j/Ead169ZV9omLizMAY/369YZhVIzQuLi4GGlpaZV9fv31V8PJyanKiNfOnTsNwNiwYYNhGIaxdevWyhGs4842klVQUGC4u7sba9asqfI5HnzwQWPo0KFV2u666y7Dw8PDAIz+/fsbxcXFVY6vWLHCCA0NNZycnAzA6NSpk5GdnX3Gn9Wnn35qBAYGGoUnfN+bOnVqlZGs03nssceMQYMGnfbznM1bb71ltGnT5i/7nY5GssRuPAIDqdW1K7W6dv3LvoVpaWTu2kXunj0U7t+PJTkZ25EjmNPTcc3Oxis/H7+SEoKtVjwBb8DbaoX8/IrXkSOwc+dpr51hMpHt6kqelxfFfn5Yg4KgRg1cIiPxiImpeH6saVP8Y2L0/JiII+zbB+++C8A4d3dKqRjFMp3nb54dycfHh//85z+89NJLvPLKK0ycOJH169cz7fPPifntNxgzpmLj4oYN4cUX4emnNaolcgVr3rx55Z+dnJwICgqiWbNmlW1hYWEApKWlsXnzZpYtW3baZ5b2799Pnz596NWrF82aNaNv37706dOHO+64g4CAgMprvPDCCyxdupSjR49SXl5OUVFRlZWvFy1aRJcuXSpHWACcnZ1p27Zt5fuGDRvi7+9PXFxc5fOsUVFRVUai4uLiiIyMJDIysrKtcePGlee1a9fuvH9Wu3btoqSkhBtuuKFKu8VioVWrVlXaJk2axIsvvkh8fDzPPfccY8aMYcqUKQCkpqby0EMPcd999zF06FDy8/N54YUXuOOOO1iyZMlp/02Ii4ujRYsWeHp6VradbrGkTz75hGnTppGYmEhxcTEWi+WcFsX4z3/+w+TJk9m3bx8FBQVYrdbLsqCdQpbYjVdoaMUUwJOW2j+ZYbORn5pKVlwcufHxFB48iCUxESMlBXN6Ou7Z2XgXFBBQUkKwzYYLEGwYBB9f1CMrCw4ePO21S4D0Y9MVC319KQ0KwqhRA6datfCoWxffBg0IbNKEwNhYLXkvYk9jxoDFQmKjRnwSF4e3t7fD98a6ECaTiZdffpm6desyYsQIli5dSvMWLZg+fTq3r1sHTzwBS5fCc8/B4sXw3Xdwwhcdkauap2fFtGBH3fs8nTw9zWQyVWk7/oXfZrNhs9no378/b7755inXCQ8Px8nJiSVLlrBmzRp+/fVXPvzwQ8aPH8/69euJiYnh/vvvJz09ncmTJxMVFYWbmxudOnXCYrFUXmfRokUMGDDglOufLnic2Obl5VXlmGEYpz3nTO3nwmazAfDjjz9Ss2bNKsfc3NyqvK9RowY1atSgYcOGBAUF0a1bN55//nnCw8P5+OOP8fX15a233qrs/8033xAZGcn69evp2LHjaev+K3PmzGH06NG8++67dOrUCR8fH95++23Wr19/1vPWrVvHXXfdxcsvv0zfvn3x8/Nj1qxZvHvsl4KXkr5lymVnMpvxiYjAJyICevU6a1+b1UrG3r1k7dpF/p49FCcmYk1OhqNHccnIwCMvD9+iIoIsFgIMA3cg0molsqCg4h+CI0dg+/ZTrmsB0p2cyHZ3p9DHh9LAQGyhoZjDw3GLisKrbl38GzYkvH17nFxdL80PQuRq8cMP8P33GE5O9N+3D4BXX321ynMI1c2wYcPo3Lkzf//73/n9998ZNGgQU6ZM4dH//a9io+V//AN+/x1atqx4f/PNji5Z5NIzmeCkL/xXi9atWzNv3jyio6NxPsMvYU0mE126dKFLly688MILREVFsWDBAsaMGcOqVauYMmVK5X6sycnJZGRkVJ5bUFDAsmXL+Pjjj6tc02q1smnTpspRq/j4eHJycmjYsOEZa23cuDFJSUkkJydXjmbt2rWL3NxcGjVqdEGfv3Hjxri5uZGUlHTa56/O5HhAKi0tBSqeMXM6aYT/+PvjQe50954xYwbFxcV4eHgAFeHoRKtWraJz58489thjlW379++v0sfV1ZXy8vIqbatXryYqKorx48dXtiWeZfVte1LIkiua2dmZ4EaNCD6HvzRKcnLI2LGD7F27KNi7F0tCAsaRIzilpeGRnY1PYSGBpaWEGAauQM3ycmoeX8wjNRV27TrlmhYg1cmJHHd3Co4v5BEWhnP9+njUqYNPbCyBjRtrZEyuXUeOwAMPADDN25vtubkMGDDglIeWq6N69eqxdOlSnnzySaZOncpjjz3GH3/8wfvvv49bt24wZAhs2gS33FKx4Mfrr8M5LK0sIleexx9/nM8//5yhQ4fy1FNPERwczL59+5g1axaff/45mzZt4rfffqNPnz6Ehoayfv160tPTK0NNvXr1mDFjBm3btiUvL4+nnnqqMjAA/Pzzz8TGxlKnTp0q93VxceEf//gHH3zwAS4uLowcOZKOHTuedeuL3r1707x5c/72t78xefLkyoUvevToUWXq4fnw8fFh7NixjB49GpvNRteuXcnLy2PNmjV4e3tz3333sXjxYo4ePUq7du3w9vZm165dPP3003Tp0oXo6GgAbr75ZiZNmsQrr7xSOV3wueeeIyoqqnLa4YYNGxg2bBi//fYbNWvW5O6772b8+PE8+OCDTJgwgYSEBN55550q9dWrV49///vf/PLLL8TExDBjxgw2btxYZe+t6OhofvnlF+Lj4wkKCsLPz4969eqRlJTErFmzaNeuHT/++CMLFiy4oJ/Rebugp76uEVr44upUmp9vHF63ztj+xRfGumefNVbcdZexrHt3Y0WjRsa6GjWM7V5eRpKzs1FyHg/kWo4tc/+Hj4+xplYtY1nr1sayW24xVj/xhPHHxx8byatWGaX5+Y7+6CL2VV5uGNddZxhgHPTzM9zAiIqKMrKyshxdmV3ZbDbj1VdfNUwmkwEYHTt2NA4fPmwYJSWG8cQTVZd6P+FBdBFxnB49ehhPPvlklbaoqChj0qRJVdoAY8GCBYZhGMaePXuM2267zfD39zc8PDyMhg0bGqNGjTJsNpuxa9cuo2/fvkZISIjh5uZm1K9f3/jwww8rr7Nlyxajbdu2hpubmxEbG2vMnTu3yv3uueceY/z48VXufXwJ93nz5hl16tQxXF1djeuvv77K4honL1Zx3NmWcDeM81/4wjAq/q57//33jQYNGhguLi5GSEiI0bdvX2PFihWGYRjG0qVLjU6dOhl+fn6Gu7u7ERsbazzzzDOnLGoxc+ZMo1WrVoaXl5cREhJi3HrrrUZcXFzl8WXLlp1S29q1a40WLVoYrq6uRsuWLY158+ZVWfiipKTEuP/++w0/Pz/D39/fePTRR41nn322yudJS0szbrjhBsPb27vKEu5PPfWUERQUZHh7extDhgwxJk2aZPj5+Z3yMz0X55MNTIZxDhMhr1Hns6uzXH1sViupmzeTs3s3+Xv2UJqYWLGQx5EjeKel4VNURIDFQvB5/CeUbjKR6e5O7rHnxWwREThHReFZvz7+TZoQ2ro13idsGihyRfvhB+jfH4urK00tFg46O/P777/ToUMHR1d2Sfz000/cfffd5OTkEBYWxty5c+nWrRvMn18xmpebC4GBMH16xeiWiAhQXl5OaGgoP/30U5URqq+//ppRo0aRk5PjuOLkvJxPNtD8JpEzMDs7E9GhAxF/8YWxrKiIjJ07yfzzT/J376Z0/344dAiXtDS8cnIIKCwkzGrFHQgxDEKKi6G4uGK/sdNMUcwD0l1dyfX2pigwEGtYGOaoKNzr1sWvcWOCW7YksH59raIojnfsweb3LRb2ApPefvuqDVgA/fr1Y9OmTdx2221s376d66+/nvfee4+RI0diatny/6cP9u8P77xTsceWiFzzMjMzGT169AWt+ifVl0ayzkIjWWIvhs1G1t69pG/bRn5cHMX79mFLSsIpNRWPrCz8CgoIKS3F/xyvVwykuriQ7e1NUUAA1pAQTDVr4hodjXf9+oR26EBo8+YKYnLprF0LnTtjAWKAGx94gGnTplWrJdsvVGFhIcOHD2fmzJkA3HvvvXzyySd4OjlVBKvjD7Z/9BE8/rgDKxWRK5lGsqqf88kGCllnoZAll1t+Sgrp27aRs2MHhXv3Yj14EHNKCu4ZGfjk5xNcUkLoGVbnOVnliJiX1/8HsVq1cG/QgLDrriOsTRs8TtirQ+SczZuH7eGHMWdl8SXw7x49+PXXX3G9hlbiNAyDyZMn89RTT1FeXk7Lli1ZsGBBxcPfTz8Nb79d0fHRR+H997UghojIVUAhy04UsuRKVJqXR+rmzWT/8QcFu3djTUrClJKCa0YGXrm5BBQXE2G1ci5bpGaZTGQem5pYHBhIeXg4Lk2b4te6NX6xsQQ1boxncPAl/0xSTeTkYDzxBKYZMwDYBjwWFcX3mzcTFBTk0NIcZdmyZQwZMoT09HQCAwOZNWsWN/TuDW++WbGXlmFU7B04dy7ovyURkWpNIctOFLKkuirOziZl3Tpydu2iaN8+rImJFUEsPZ2ArCxqFxdzrts6HnJyIsPbmyJfX8qCgjA1boxn48b41K1LYJMmBDdpommJ14IdO7D06YNrSgrlwL+AOQ0bMmfhQho0aODo6hwqOTmZQYMGsXHjRsxmM2+88QZPP/00ph9+gLvvrtizLzoaFi2CZs0cXa6IiFwghSw7UciSq5Vhs5GbmEj6tm3kHntGzJqYiNORI/gfPkxgURFB5eV4/PWlyDGZSHV3p8DLi2J/f8rr1sWtWTO8YmLwjY0lvEMH3PTfT/X2+++U9u2LW1ER+4CH3dy48ZVXGDVq1DU1RfBsSkpKGDlyJF988QUAgwYN4quvvsInKQluvRUOHKjYxPWbb2DgQMcWKyIiF0Qhy04UsuRaZths5Bw8SNJPP1G4Zw9lhw5hJCfjlZCAT0FBxfL1NttfTkssA5JdXcnz8KgYDQsNxalFC3xatCCwRQvCWrfG1cfncnwkuQDWBQuwDR6Ma3k5q4GP+/blX599Ru3atR1d2hXHMAw+//xzRo4cSVlZGY0bN2bBggXUDwqCO++EpUsrOk6cCM8+69hiRUTkvClk2YlClsjZleblkfDzz+Tt2kVJUhLWxETc9u3DOzsbv+JigqxWvM/hOmlmMxnu7uT7+VESGgq1auFSty4+jRoR1LIloS1b4uzufsk/j5zAYqHgjTfwePllnIDvgbgXX+SpF1+8JlYQvBjr1q1j0KBBHDlyBF9fX2bMmMGt/fpVrDz44YcVne67DyZPBn9/R5YqIiLnQSHLThSyRC6OYbORsmkTR1etojgxsWI07MABfJKSCCooIKys7JymJJYD6WYzGZ6e5Pv7YwkNhchI3OrVw6dxY4JatCC0eXPMWsHt4hkGRbNnUzxyJEGZmQB84+yM/9y53KJpbucsNTWVO++8k1WrVgHw/PPP89JLL2F+552KUSzDgMhIWLUKoqIcXK2IiJwLhSw7UcgSubQMm43MPXtI37KFvJ07Kdm7F1tSEi6pqXhnZxNYVEQNq5VzeeqnDDjq5ESWlxcF/v5YatTAFBmJe716+DZpQnCrVgQ3aoTJ6VzWXbz2GPv2cfj99zHPnUvE0aMAHAU+qVmTO37+mSZNmzq2wGqorKyMsWPH8sEHHwBw00038c033xCwaxcMG1bxnFbt2rBwIbRq5dhiRUTkLylk2YlClojj2axW0nfuJGPbNvJ27qR03z5ITsb16FG8c3Iqglh5Oc7ncK1S4KizM1leXhQGBFAWHo65dm3c69fHr3FjQlq3JqBevWtmtcSy3btJfOcdXBctonZ6emV7CfBVYCCh777LbcOGYb5Gfh6XyjfffMPw4cMpKSmhbt26/Pe//6WJtzf07g379oGHB3z1FQwZ4uhSRUTkLBSy7EQhS6R6sJaWkvbnn2Rs3Up+XBxl+/fDoUO4pqXhk5NDcHExYTYb5xIVLECGkxM5bm4U+PhQ6u9PeUgI5ogIXGvXxqtuXfwaNCC4SRM8Q0Mv9UezK6OggMPffUfWrFkEbN5MZF5e5TErsNJsZk+LFoSOGMGtDzyAs/O5RFc5F1u3buX2228nISGB4OBgpk+fzk2dOsHQofDLLxWdnn4aXnkF3NwcW6yIiJyWQpadKGSJXD0shYUc3bqVrD//pCAuDsv+/ZgOHcI9PR3f3FyCS0oIPc+/DguATBcXsry9KQwJoTwgAPz9MQcF4RwainuNGnhGRuITHU1AvXp4hITAJVw0wigsJG/3brJ37aJgzx5KExIwDh3CfPQonunp1MnIqDL10gqsdnEhsUMHaowYQbfbb8fD41yekpMLkZmZSZ8+fdiyZQsA48aN45UXX8T5+efh7bcrOjVuDHPmQJMmDqxURERO56oLWRMnTmT+/Pns3r0bDw8POnfuzJtvvvmXG2CuWLGCMWPGsHPnTiIiInj66acZMWLEOd9XIUvk2lKSm0vGrl3k7N5Nwb59lCYnYzt8GFNaGm5ZWXjm5+NXXEyI1YrXBVzfAuSazZSYzVicnChzcqLM2RmriwvlLi6Uu7pS7uaG4eaGcWw1RZPNBsdeppNfVivueXn4FhQQWFqK7zn8dZ4IbA8Pp7R7dyLvv582N9yAk55Tu2xKSkp4+umn+fDYKoM9e/Zk5syZhP3+Ozz2GKSlQY0asHixntMSEbnCXHUh68Ybb+Suu+6iXbt2WK1Wxo8fz/bt29m1axdeXqf/qnPw4EGaNm3K8OHDeeSRR1i9ejWPPfYYM2fOZNCgQed0X4UsETkdwzDIT0khc+dOcnfvJn/7dqz792PKzsacl4dLYSHuRUV4lpbiU1ZGgM12Tqso2kMhkGo2k+XuTr63NyUBAZSHhWGqWZOgG2+k5R134OHpeZmqkTOZPXs2Dz74IIWFhYSHhzN37ly6NGgA118P27dXLO3+5Zdw222OLlVERI656kLWydLT0wkNDWXFihV07979tH2eeeYZFi1aRFxcXGXbiBEj+OOPP1i7du053UchS0TswTAM8o8eJXvfPgoPHcKSm4s1P5+yvDzKCwooLyzEduxlFBdDUREUF1ec6+QEZnPFy8kJw2zGdOx/DScnnMLCcK9TB+/69Qls0oTQevVw15S/aiEuLo5BgwYRFxeHp6cnM2bM4PZevaBvX1i/vqLTgw/C1Kmg7QlERBzufLJBtXyqOTc3F4DAwMAz9lm7di19+vSp0ta3b1+++OILysrKcDnNP1ilpaWUlpZWvs874aFwEZELZTKZ8K1RA98aNRxdilxBGjVqxIYNGxg8eDA///wzgwYNqthPa/lyzC+9BG+9BV98AXl5FasPnmHmhoiIXHmq3bq8hmEwZswYunbtStOz7NuSmppKWFhYlbawsDCsVisZGRmnPWfixIn4+flVviIjI+1au4iIyIm8vb1ZtGgRY8aMAeDVV19l6H33UfziizB3Ljg7V/xvly5w8KCDqxURkXNV7ULWyJEj+fPPP5k5c+Zf9jWdtIrX8ZmRJ7cfN27cOHJzcytfycnJF1+wiIjIWbi4uPDuu+/yxRdf4OzszJw5cxg2bBiFN94IS5dCaCj88Qe0bQv/+5+jyxURkXNQrULWP/7xDxYtWsSyZcuoVavWWfvWqFGD1NTUKm1paWk4OzsTFBR02nPc3Nzw9fWt8hIREbkcHnjgAX788UfMZjP/+c9/aNq0Kdv9/WHTpoqAlZUFffrAE09Afr6jyxURkbOoFiHLMAxGjhzJ/PnzWbp0KTExMX95TqdOnViyZEmVtl9//ZW2bdue9nksERERR+vTpw/ff/89UVFRJCQk0L17d+auW4exYkXFIhiGAR9+CNddB2eY+i4iIo5XLULW448/zjfffMN3332Hj48PqamppKamUnxs9S2omOo3bNiwyvcjRowgMTGRMWPGEBcXx5dffskXX3zB2LFjHfERREREzslNN93Eli1b6NixIzk5Odx55530HTiQ+Keegl9+gZAQ2LIF2rWD3bsdXa6IiJxGtQhZU6dOJTc3l+uuu47w8PDK1+zZsyv7pKSkkJSUVPk+JiaGxYsXs3z5clq2bMmrr77KBx98cM57ZImIiDhKYGAgS5cu5YUXXsDNzY0lS5bQrFkzRi1eTOL06VC3LiQkQPPm8NFHji5XREROUi33ybpctE+WiIg42r59+3jiiSf46aefgIrFm8bffz/PJybiunRpRacJE+Cll8DJyXGFiohc5c4nG1SLkSwREZFrVb169fjxxx/5+eefufHGGzEMg9e++oqg9euZ16pVRafXXoOePeHAAccWKyIigEKWiIjIFc9kMtG3b19++uknfv31V5o3b05BYSF3bN3KcLOZYmdnWLUKo3lz+PhjKCtzdMkiItc0hSwREZFq5IYbbmDbtm38/vvv9OvXj2k2G42tVlYApsJCGDmS8oYNYfbsitUIRUTkslPIEhERqWZMJhNdunRh8eLFbNq0id4PPcTNHh48DqQBTgcOwF13UdyuHfz3v1Be7uiSRUSuKZcsZJWVlZGcnEx8fDxZWVmX6jYiIiLXtDZt2vD5559zOCWFxh99xC0NG/ICUAR4bN4MAweSGxVF6aefwglbn4iIyKVj15BVUFDAp59+ynXXXYefnx/R0dE0btyYkJAQoqKiGD58OBs3brTnLUVERATw8/Pj8ccfZ/2uXfResYJHe/bkLZOJLMDv8GHcRowgPzCQQw8+iJGY6OhyRUSuanZbwn3SpEm8/vrrREdHc+utt9K+fXtq1qyJh4cHWVlZ7Nixg1WrVrFgwQI6duzIhx9+SGxsrD1ufcloCXcREanOjh49yhf/+hduX33FoNxcoo+124DEmBi8HnmE0EcfBf0bJyLyl84nG9gtZA0ePJgXXniBZs2anbVfSUkJX375Ja6urjz00EP2uPUlo5AlIiJXA5vNxorffuPPV1+l5erV9LDZKo+VmM0ktW5N2Nix+A0aBM7ODqxUROTK5ZCQda7y8vKqTWBRyBIRkatNQUEBv06bRs7HH9Np3z4anXAsy82N9BtuIGrCBNw7dHBYjSIiVyKHbUb8zjvv/GVhffr0sectRURE5Dx4e3tz+6hRPLB3L/6HD/PdqFHMDAkhAwgsLaXBDz/g3rEjyYGB7H34YcoTEhxdsohItWPXkSwPDw+mTJnC3//+91OOFRQUcMMNN5Cbm8uuXbvsdctLSiNZIiJyrdi1bRubXn+d4B9/pFdxMW4nHNsXEYH57ruJeeopTKGhDqtRRMSRHDaSNWPGDB577DEWLlxYpb2goIA+ffqQlZXFsmXL7HlLERERsYPGLVsybO5cbiwoYNP33/NN16787uyMDah35Ah13nmH8rAw9tSuzb5//pPyQ4ccXbKIyBXL7s9kTZs2jSeeeIIff/yRnj17UlBQwI033khaWhorVqwgPDzcnre7pDSSJSIi1zKLxcLK774j/cMPabhtG61OWDDDBuwPD8d2xx3U/ec/cY6KclyhIiKXgcMXvnjrrbd4/fXX+e9//8vzzz9PSkoKK1asoGbNmva+1SWlkCUiIlKhuLiYVV9/Tda0adT54w/al5dXHrMBe8LDKb3xRho98wyuDRo4rlARkUvE4SELYNy4cbz11ltER0ezYsUKatWqdSluc0kpZImIiJyqrKyMNbNnk/rhh0Rv2UIHq7XK8SQ/P7JvuIHop57Cr317B1UpImJfDgtZt99+e5X3ixcvpkWLFqeMYM2fP99et7ykFLJERETOrqysjNXffkvO118TsnYtHSwWTtxpK9nDg7QOHQh/5BEi7rhD+3CJSLXlsJB1ulUFT+err76y1y0vKYUsERGRc2ez2djyv/+R8OGHhC9fTruCAlxPOJ7j5MTBRo3wvusu6j72GOaAAIfVKiJyvq6I6YJXA4UsERGRC3fwjz/YNXkyLj/9ROujRwk+4ZiFiqXhy2+5hdjRo3Fv2NBRZYqInBOFLDtRyBIREbGP7PR0Nn34IcVz59Jgzx4anLBSIUCijw853bsT+dhjBN54I5jtusuMiMhFU8iyE4UsERER+7NYLGz87juOTptG+KZNtCstrfIcV6aLC8nNmuF3991EDx+OSf8Gi8gVQCHLThSyRERELi3DMNi5ahV7P/gAr6VL6ZCdjd8Jxy3Avpo1Ke/bl7pPPoln8+aOKlVErnEKWXaikCUiInJ5HT54kK3vv49t0SIaJyRQ76SvKcmenmS0aUPQ3/5G5D33YPLyclClInKtUciyE4UsERERxykpKWHDN9+QMX06YZs20b6kBJcTjwP7a9akvHdvoh95BN+OHcFkclS5InKVu+wha/369YSGhhITE8Pvv//OunXraNCgAf3797/YSzuUQpaIiMiVwTAM4jduZM+UKTj99hvNDh2i9kl9jrq6cqRpU3wGD6bOww9jDgx0SK0icnW6rCFr1KhRbNq0CavVSu/evVm9ejU333wzy5cvJzY2lkmTJl3M5SutXLmSt99+m82bN5OSksKCBQsYOHDgGfsvX76cnj17ntIeFxdHw3NcJlYhS0RE5MpUVFjI5u++I+ObbwjevJm2hYV4nHDcCuwPDqawa1ci7rmHGrfeCi4uZ7qciMhfOp9scNHbrv/vf/9j+/btlJaWUqtWLQ4fPoybmxujR4+mZcuWF3v5SoWFhbRo0YK///3vDBo06JzPi4+Pr/JDCAkJsVtNIiIi4hieXl50Gz4chg8HICk+nh1TplC+eDGxBw7Q0GajQUYGLFwICxdSYDJxMDoao18/Iu+6i4DOncHJybEfQkSuWhcdsgCsViulpaWUlZVRUlKCm5sb5eXllJeX2+PyAPTr149+/fqd93mhoaH4+/ufU9/S0lJKS0sr3+fl5Z33/UREROTyq92gAbXffx/ef5+ysjI2LlrE4S++wGfDBppnZhJiGDQ7eBCmTIEpUygwmUgIC6O0RQvq/vOf+Pfuree5RMRuLjpkPfjggzRq1Ijy8nJef/11hgwZQmxsLGvWrDmvEadLpVWrVpSUlNC4cWMmTJhw2imEx02cOJGXX375MlYnIiIi9ubi4kK7QYNod+x7SF5ODsu+/JLcWbMI37mTJkVFeBsGTVNTITUVfvmFTGdnjkRF4TZsGDEPPYRLRISDP4WIVGd2WfgiIyMDgODgYHJycvjf//5HZGQkHTp0uOgCT8dkMv3lM1nx8fGsXLmSNm3aUFpayowZM/jkk09Yvnw53bt3P+05pxvJioyM1DNZIiIiV5GcjAx2/ec/ZP30Ey6rVnFddjZuJ/VJ9PQks0kTIseOJWTwYI1yicjVv4T7uYSs0+nfvz8mk4lFixadU38tfCEiInL1O3LgAPGzZpE9YwaN9u6l0UmPO6S7uHCoTh387r2XmNGjMXl6OqhSEXGk88kGZnvf/NChQ4wfP56ePXvSqFEjGjduTM+ePRk/fjzJycn2vt156dixI3v37nVoDSIiInJliahTh57PPcftcXE0sFjY/fvv/PTIIywKD6cACCkro1V8PHUmTKDE25vt0dHsGDmSEn2nEJEzsOtI1u+//06/fv2IjIykT58+hIWFYRgGaWlpLFmyhOTkZH766Se6dOlyUfe50JGsO+64g6ysLJYuXXpO/TWSJSIicm07vH8/cdOnkz9vHq3i4og+6WvT/tBQiu6+m+hhw/Bp1cpBVYrI5eCw6YLt2rWja9euZ9wba/To0fz+++9s3LjxvK9dUFDAvn37gIrFLN577z169uxJYGAgtWvXZty4cRw+fJh///vfAEyePJno6GiaNGmCxWLhm2++4V//+hfz5s3j9ttvP6d7KmSJiIjIcYUFBWz68kuyvv2Wmtu20cZi4cRF4A/6+lJ8553EPPMMHvXqOaxOEbk0HBayPDw82LZtGw0aNDjt8d27d9OqVSuKi4vP+9pn2lz4vvvu4+uvv+b+++8nISGB5cuXA/DWW2/x2WefcfjwYTw8PGjSpAnjxo3jpptuOud7KmSJiIjI6RiGwdoFC0h/+WVqxsfTvLQU1xOOJ3t6knnddcQ8+yx+Xbtq4QyRq4DDQladOnV4/vnn+fvf/37a41999RWvvvoqBw4csNctLymFLBEREfkrhmGwa80adr7wArGrVtG8rKzKCFeylxdZN9xAnXHj8Gnf3mF1isjFOZ9sYJfNiI8bO3YsI0aMYPPmzdxwww2EhYVhMplITU1lyZIlTJs2jcmTJ9vzliIiIiIOZTKZaNKlC01++w3DMNi7cSM733kHv19+oUteHpGFhUQuXAgLF5Lg40Nu377Ufe45vPUMl8hVy+5LuM+ePZtJkyaxefNmyo8tgerk5ESbNm0YM2YMd955pz1vd0lpJEtEREQuRvyGDez6178IWLKEzgUFVaYUHvD3p+Cmm6j33HN4NmnisBpF5NxcEftklZWVVdmk2MXF5VLc5pJSyBIRERF7OD6lMH7iREKWLqVTcXGV6UT7AgMp7t+f2PHjcY+NdVidInJmV0TIuhooZImIiIi9GYbB9mXL2PfWW4StWEHHkpIqz3DtCQ7GMnAgsc89h1tMjMPqFJGqHLoZ8dkkJyfzwAMPXM5bioiIiFxRTCYTza+/ntt//pnORUX8+dNPzO/Vi3VubtiA+hkZNJ02DZc6ddhdowY7H3+cskOHHF22iJyHyzqS9ccff9C6devKZ7WudBrJEhERkcvFZrOx5fvvSXrvPSLXrqVdWVnlsVJgV4cO+N19N9H3349Z30tELjuHTRdctGjRWY8fOHCAf/7znwpZIiIiImdhs9nYOG8ehydPps6GDbS0WiuPWYD9oaF4PPww0S+8ANXwuXeR6shhIctsNmMymTjbJU0mk0KWiIiIyDkqyM9n6XPP4fL99zRMSiLmhO9Zqe7uHL3hBuq+8ALebds6sEqRq5/DnskKDw9n3rx52Gy20762bNliz9uJiIiIXPW8fXy49cMP6ZeQQM2SEtZ/+y0zW7UiDahRUkKL77/Hu107DgQEEPfIIxi5uY4uWeSaZ9eQ1aZNm7MGqb8a5RIRERGRM3N1daXD3XczdMsWinbuZMHgwSz38qIMqJOTQ6PPPiM/MJCtDRuya9w4rKmpji5Z5Jpk1+mCq1atorCwkBtvvPG0xwsLC9m0aRM9evSw1y0vKU0XFBERkSudYRhsX7qUPa+9RrMVK2hwwle7MiC+fn0C/vlPaj7wADg7n/lCInJW2ifLThSyREREpDrJycxk89SpFM6ZQ8yuXTQ74Tn4dFdXjvTpQ+wbb+DZrJkDqxSpnhSy7EQhS0RERKori8XCyilTyH//fbomJBBywrH48HCcHn6Yuk89hcnLy2E1ilQnDln4Iikp6bz6Hz582F63FhEREZGTuLq60nvUKG47eBDLgQPMHzqUFR4e2IAGKSnUe/ll8n19+aNzZ7KXLAH93l3EbuwWstq1a8fw4cPZsGHDGfvk5uby+eef07RpU+bPn2+vW4uIiIjIWdSMieH2776jW0EB62fP5j/Nm5NgMuFrs9Fi7VoC+vQhISCAXSNGUJ6W5uhyRao9u00XzMrK4o033uDLL7/ExcWFtm3bEhERgbu7O9nZ2ezatYudO3fStm1bJkyYQL9+/exx20tK0wVFRETkapWTlcXKl1/G9ZtvuC4rC/dj7aXAnsaNCX76acLvvRfMdl2MWqTacugzWSUlJSxevJhVq1aRkJBAcXExwcHBtGrVir59+9K0aVN73u6SUsgSERGRa8GOVauIe/556v/+Oy1OWCzjqJsbR2+6ifpvvIF7w4YOrFDE8bTwhZ0oZImIiMi1pKSkhBWTJ1MyZQrdk5MJONZuA+Jr1cL9sceIGTMG3NwcWaaIQyhk2YlCloiIiFyrkuLj2fjcc9RYvJguJSWV7dnOzhzq25d6b72FR+PGDqxQ5PJyyOqCIiIiInL1qN2gAYPmzaNTYSG///vfzGvShGQgwGql2Y8/4tGkCfsDAtgxbBiW81xlWuRqZ9eQ9csvv2Cz2ex5SRERERFxILPZTNd772XQjh24HT7MvHvuYZW7O+VA3Zwcms6YgTkqih316pH00UdQVubokkUczq7TBZ2cnEhJSSE0NNRel3QoTRcUEREROZVhGOxYtow9b71F7aVLaXdCsEr18qJo3DhiRo3SRsdyVXHYdEE93iUiIiJy9TOZTDS7/noG/fwzLQsLWfrRRyyoV480oEZhIXUmTKDQx4c/mjUjacoUsFgcXbLIZVVtnslauXIl/fv3JyIiApPJxMKFC//ynBUrVtCmTRvc3d2pU6cOn3zyyaUvVEREROQa4uLiwvWPP85te/eSvm4dcxs3JtFkwtswaLFjB7Uff5w0X1/2jhqFUVDg6HJFLgu7h6yPPvqIX375hYyMDLtet7CwkBYtWvDRRx+dU/+DBw9y00030a1bN7Zu3cpzzz3HE088wbx58+xal4iIiIhUaNKhA4N37iQoN5dfXnqJRTExpAKhpaXEvv8+BX5+/NmjBwUbNji6VJFLyq7PZJnNZoKCgsjMzMRkMlGzZk1at25NmzZtaN26Na1btyY8PPyi72MymViwYAEDBw48Y59nnnmGRYsWERcXV9k2YsQI/vjjD9auXXtO99EzWSIiIiIXJyE+nrUPPUS71aupd8LXzj3h4Xg89RSRTz4J5mozuUquYQ5dwn3nzp0cOnSIRYsWMXz4cEwmE9OmTaN///7UqlWLiIgIe9/ytNauXUufPn2qtPXt25dNmzZRdoZVb0pLS8nLy6vyEhEREZELF92gAUNXrSI4I4OFjz7K/7y9KQfqp6QQOWYMiaGh7H/jDYzCQkeXKmI3dg1ZJpMJgIiICG6++Waef/55FixYQGJiIhkZGfz000+MGjXKnrc8o9TUVMLCwqq0hYWFYbVazziVceLEifj5+VW+IiMjL0epIiIiIlc9/8BABk6ZQq+8PDbMmcOc+vXJA6IyM6k7fjxFPj5sa9mSozNnghZTk2rusq0uGBgYSJ8+fXj66aftecuzOh76jjte38ntx40bN47c3NzKV3Jy8iWvUURERORaYjKZ6DR4MHfGx7P7hx+Yf2yhDC/DoOUffxB2990kBQSw/7nnMIqKHF2uyAWxa8j66aef8PPzs+clL1iNGjVITU2t0paWloazszNBQUGnPcfNzQ1fX98qLxERERG5NNrffDO379xJYHY2P0+YwKKICAqA2rm51J04kRw/P3bcdhtlSUmOLlXkvNg1ZPXt2xc3Nzd7XvKCderUiSVLllRp+/XXX2nbti0uLi4OqkpERERETubj58eNr77KrYcPk7BqFbPbtSMJCLBaabpwIUZUFDtatSLnt98cXarIOak2S7kUFBSwbds2tm3bBlQs0b5t2zaSjv1mY9y4cQwbNqyy/4gRI0hMTGTMmDHExcXx5Zdf8sUXXzB27FhHlC8iIiIi56Bp164M2bAB98OHmXvnnax3ccEVaLptG/69e7M3PJzkyZPBanV0qSJnZNcl3C+l5cuX07Nnz1Pa77vvPr7++mvuv/9+EhISWL58eeWxFStWMHr0aHbu3ElERATPPPMMI0aMOOd7agl3EREREccqLS3lfxMnYvrgA27Izub4fKRUd3ey77mHBm++iTkw0KE1yrXhfLJBtQlZjqCQJSIiInJlMAyD9QsWkPzcc/SMjyf4WHuxycTeNm2IfO01Avr2dWiNcnVz6D5ZIiIiIiL2ZjKZ6Hj77QzevZv8nTuZ1bs3O81mPAyD5ps2EXDjjcTXqcOhTz/VVEJxOIUsEREREalWYho35q4lS4jOzeWHZ5/lx6AgLECDgwepNWIE6V5exD/4IEZurqNLlWuUQpaIiIiIVEte3t7cMnEiN6Wns+LDD1kYE0M6EGKx0ODLLykIDGR7794U/fmno0uVa4xCloiIiIhUayaTiRtGjmTggQOU7t/PrL59iTeZ8LHZaPbbb7i3aEFcnTqkz5rl6FLlGqGQJSIiIiJXjVp16nDXzz8Tmp7OguHDWe7hgRlodPAgIUOHcsDfn6SXX4ayMkeXKlcxhSwRERERueoEBAVx22ef0b2ggGWffsq8GjUoA+rk5lL7pZfI8vRkW8+e5Jyw/Y+IvShkiYiIiMhVy2w20/Phh7n9yBHily/nu+bNOQoEWq20XL4c/5492dWkCakzZ4LN5uhy5SqhkCUiIiIiVz2TyUTTHj24+48/MB8+zKKHH+ZXX1/Kgca7dlHj7rs55OfHwQkTNJVQLpo2Iz4LbUYsIiIicvWy2Wz8/NZbGB98QNeUFPyOtad6elI4ejR1nn0Wk7e3Q2uUK4c2IxYRERER+Qtms5mbnn2Wm48cIWXDBma2acNRoEZREXVff51CPz923nor5Skpji5VqhmFLBERERG55jVs146hmzaRs2kTs1u35oDJhLfNRpPvv8dSsyY7b7yRssRER5cp1YRCloiIiIjIMQ3atGHI5s0EZWUx+5572OLkhIdh0OSXX7BFR7OjSxeKd+xwdJlyhVPIEhERERE5iZ+/P0NmzCA2K4u5DzzAOhcX3ICma9bg2qwZO5s3J+/33x1dplyhFLJERERERM7Ax9eXwV98QYvcXBaOGcMyDw+cgCbbt+PbrRtx9eqRuWiRo8uUK4xCloiIiIjIX/Dw8GDgu+/SLS+Pxa+/zk9+fpQDjfbvJ2jAAPZGRJDy5ZeghbsFhSwRERERkXPm7OzMTc89R9+sLJZ/8gkLQ0MpBWJTUgh/8EGS/fxIeOkl7bV1jVPIEhERERE5T2azmV6PPMKA1FQ2z5nDf6KjyQMi8/OJfvlljvr6svfJJzEKCx1dqjiAQpaIiIiIyAUymUx0HjyYOw4e5NDatcxq1YpUIKykhNgPPiDH35+4e+/FyM52dKlyGSlkiYiIiIjYQeOOHblryxZK4uKY2a0bCUCA1Uqjb76hIDiYnbfeivXwYUeXKZeBQpaIiIiIiB1FN2zI0JUrcU9OZtbNN7PLbMbn2MbG1shIdlx3HaXx8Y4uUy4hhSwRERERkUugRq1a3PXDD4SnpTHn7rvZ5OyMu2HQdMUKnBo2ZGebNhRu3OjoMuUSUMgSEREREbmEAoKCuPPbb2mUnc38kSNZ6eaGM9Bkyxa82rcnrmFDcpcscXSZYkcKWSIiIiIil4GXtze3f/ghHfPy+P755/nV2xuARvHx+PXpw57atUmfNUt7bV0FqlXImjJlCjExMbi7u9OmTRtWrVp1xr7Lly/HZDKd8tq9e/dlrFhEREREpCpXV1f6v/IKvXJy+GXSJL4PDKQMqJ+cTMjQoRwIC+PIlClgszm6VLlA1SZkzZ49m1GjRjF+/Hi2bt1Kt27d6NevH0lJSWc9Lz4+npSUlMpXbGzsZapYREREROTMnJyc6DtqFLdkZLD23/9mfkQExUCd9HQiHn+c5IAAEl97TRsbV0Mmw6ge45EdOnSgdevWTJ06tbKtUaNGDBw4kIkTJ57Sf/ny5fTs2ZPs7Gz8/f0v6J55eXn4+fmRm5uLr6/vhZYuIiIiInJONv74IwdHjaLvvn34HWs76uFB/iOPUO+NN8DDw6H1XcvOJxtUi5Esi8XC5s2b6dOnT5X2Pn36sGbNmrOe26pVK8LDw+nVqxfLli07a9/S0lLy8vKqvERERERELpd2N9/MnXv3kvz778xq3pw0IKy4mHqTJ5Pl58fu++/HyMlxdJnyF6pFyMrIyKC8vJywsLAq7WFhYaSmpp72nPDwcD777DPmzZvH/PnzadCgAb169WLlypVnvM/EiRPx8/OrfEVGRtr1c4iIiIiInIumXbpw1x9/ULBjBzO7dCERCCwro+H06RQEBbHrttsoP8P3YHG8ajFd8MiRI9SsWZM1a9bQqVOnyvbXX3+dGTNmnPNiFv3798dkMrFo0aLTHi8tLaW0tLTyfV5eHpGRkZouKCIiIiIOdSQxkZWPPkrLn3+m4bGv78UmE/t796b+55/jGhXl4AqvflfddMHg4GCcnJxOGbVKS0s7ZXTrbDp27MjevXvPeNzNzQ1fX98qLxERERERR4uIiuKuxYsJTUtj9l13sdXJCQ/DoOmSJdiio9neowcle/Y4ukw5plqELFdXV9q0acOSkzZpW7JkCZ07dz7n62zdupXw8HB7lyciIiIiclkEBgczZOZMYrOzmT98OBtdXHAHmq1ciblBA7Z36kTxzp2OLvOaVy1CFsCYMWOYNm0aX375JXFxcYwePZqkpCRGjBgBwLhx4xg2bFhl/8mTJ7Nw4UL27t3Lzp07GTduHPPmzWPkyJGO+ggiIiIiInbh7ePD7Z99RrPcXBY+8QSr3dxwBZqtW4dL06bsaNOGws2bHV3mNcvZ0QWcqyFDhpCZmckrr7xCSkoKTZs2ZfHixUQdm3+akpJSZc8si8XC2LFjOXz4MB4eHjRp0oQff/yRm266yVEfQURERETErtw9PBj4/vtY3n6bRc8/j++HH3JdcTFNt2zB1rYtO5s2JfKTT/Dt0sXRpV5TqsXCF46ifbJEREREpDopKyvjl9dew+Pdd+lVWFjZvqtBAyKmTMH/+usdWF31dtUtfCEiIiIiIn/NxcWFW15+metyc/n5X//iZ19fbEDj+Hj8e/Uirm5dshYvdnSZVz2FLBERERGRq4yTkxM3PvMMfbKz+W3yZH4MCKAcaHTgAIE338ye2rXJmDfP0WVetRSyRERERESuUmazmRuefJKbMjNZ8emnLAoOpgyon5xM8B13sC8igrRvvwU9QWRXClkiIiIiIlc5k8nE9Q8/TP+0NNZOn87CGjUoBeqlpBB6zz0cCAsjddo0hS07UcgSEREREblGmEwmug8bxoAjR9g8Zw7zatWiGKiTnk6N4cNJDAri8AcfgM3m6FKrNYUsEREREZFrjMlkovPgwQxKTmbH998zNyaGAiAqO5uaTz5JckAAyW+9BeXlji61WlLIEhERERG5hrW75RYGHzjAnl9/ZU79+uQCkXl5RD7zDEf8/Eh8+WUoK3N0mdWKQpaIiIiIiND6hhu4Mz6epJUrmdWkCZlARGEhUS+9RKqfHwfGjVPYOkcKWSIiIiIiUqlZt27ctWMH6Rs2MLNlS44CNYqLqfOvf1WErQkTFLb+gkKWiIiIiIicomG7dgzdupX8P/5gZvv2pHIsbL3+Oin+/iS98gpYrY4u84qkkCUiIiIiImdUr3lzhq5fT/GOHcxs25Y0ILyoiNovvkiKvz+HJk5U2DqJQpaIiIiIiPylmCZNGLpxIzlbtvBdy5akA+GFhdR67jmOBAZy5J13tBrhMQpZIiIiIiJyzuq3asXdW7eSsWED3zZtWrFARn4+EU89xZGgII6+//41v8+WQpaIiIiIiJy3Ru3a8bft2zm8ahUzGjQgC4jIzSVs1CgOBQeT9umnYBiOLtMhFLJEREREROSCNe/alXt37+bgb7/x73r1yAFqZWcTOmIEiWFhZHzzzTUXthSyRERERETkorW5/nqG7d3L7sWL+TYqigIgKj2d4HvvZX+tWmTOn+/oEi8bhSwREREREbGbjv368beEBLbNm8esiAhKgLpHjhA0aBB7oqPJ/vlnR5d4ySlkiYiIiIiI3XW9/XaGHDrE+m+/ZV5oKBagfmIiAf36EVevHrm//OLoEi8ZhSwREREREbkkTCYTPe6+m9tTU1n9xRcsCgqiHGi0fz9+N97Igdq1yfr226vumS2FLBERERERuaRMJhM9H3iA/unpLJ8yhYWBgViAOsnJBN5zD8nBwRX7bF0lmxorZImIiIiIyGVhMpno9eij3JqezvIvvuC7iAjygcisLCKeeoqjfn4c/Oc/oajI0aVeFIUsERERERG5rMxmM30eeIC7Dx9m5+LFfNOwIWlAWFERMe+9R7afH3F3340tI8PRpV4QhSwREREREXGYjv36cU9cHFlbtjCjY0cOAAFWK41mzqQoLIy9Q4dCYaGjyzwv1SpkTZkyhZiYGNzd3WnTpg2rVq06a/8VK1bQpk0b3N3dqVOnDp988sllqlRERERERM5Hw1atuHftWtwTE5l5663sMJvxttkI/uEHcHZ2dHnnpdqErNmzZzNq1CjGjx/P1q1b6datG/369SMpKem0/Q8ePMhNN91Et27d2Lp1K8899xxPPPEE8+bNu8yVi4iIiIjIuYqoXZuh//0vkRkZfDtoEM4ffghubo4u67yYDKN6rJfYoUMHWrduzdSpUyvbGjVqxMCBA5k4ceIp/Z955hkWLVpEXFxcZduIESP4448/WLt27TndMy8vDz8/P3Jzc/H19b34DyEiIiIiItXS+WSDajGSZbFY2Lx5M3369KnS3qdPH9asWXPac9auXXtK/759+7Jp0ybKyspOe05paSl5eXlVXiIiIiIiIuejWoSsjIwMysvLCQsLq9IeFhZGamrqac9JTU09bX+r1UrGGVYpmThxIn5+fpWvyMhI+3wAERERERG5ZlSLkHWcyWSq8t4wjFPa/qr/6dqPGzduHLm5uZWv5OTki6xYRERERESuNdVimY7g4GCcnJxOGbVKS0s7ZbTquBo1apy2v7OzM0FBQac9x83NDbdq9lCdiIiIiIhcWarFSJarqytt2rRhyZIlVdqXLFlC586dT3tOp06dTun/66+/0rZtW1xcXC5ZrSIiIiIicm2rFiELYMyYMUybNo0vv/ySuLg4Ro8eTVJSEiNGjAAqpvoNGzassv+IESNITExkzJgxxMXF8eWXX/LFF18wduxYR30EERERERG5BlSL6YIAQ4YMITMzk1deeYWUlBSaNm3K4sWLiYqKAiAlJaXKnlkxMTEsXryY0aNH8/HHHxMREcEHH3zAoEGDzvme5eXlABw6dEhLuIuIiIiIXMOOrzx+PCOcTbXZJ8sRNm7cSPv27R1dhoiIiIiIXCE2bNhAu3btztpHIesssrOzCQwMJDk5WSNZIiIiIiLXsLy8PCIjI8nKyiIgIOCsfavNdEFHcHJyAsDX11chS0REREREKjPC2VSbhS9ERERERESqA4UsERERERERO7qqQ1Z8fDwtW7asfHl4eLBw4UJHlyUiIiIiIlexq/qZrAYNGrBt2zYACgoKiI6O5oYbbnBsUSIiIiIiclW7qkeyTrRo0SJ69eqFl5eXo0u5IDmJieQfOYKtrMzRpYiIiIiIyFlc0SNZK1eu5O2332bz5s2kpKSwYMECBg4cWKXPlClTePvtt0lJSaFJkyZMnjyZbt26nXKtOXPmMGzYsMtUuf0daNWK1tnZAJQCRSYTxWYzxU5OlDo7Y3FxoczVFaubG1YPD2zu7hienhheXph8fDD7+uLs54ezvz8u/v64BQXhFhSEe1AQnqGheIWF4ertDSaTYz+oiIiIiEg1d0WHrMLCQlq0aMHf//53Bg0adMrx2bNnM2rUKKZMmUKXLl349NNP6devH7t27aJ27dqV/fLy8li9ejWzZs26nOXblbPVWvlnN8DNMAgoL4fycrBY7HKPMqDQZKLoWHgrcXamzMUFi6srVnf3ivDm6Ynh6Qne3ph9fTH7+OAcEIBrQAAugYG4h4TgHhyMZ1gYXmFhuAcEYDJfMwOmIiIiIiLVZzNik8l0ykhWhw4daN26NVOnTq1sa9SoEQMHDmTixImVbTNmzOCXX37hm2++Oes9SktLKS0trXx/fMOx3Nxch++TZZSXU5ydTVFmJsWZmZRkZmLJysKSnU1ZdjbW3FysubnY8vMxCgowFRRgKirCVFyMc3ExziUlOFssuFosuJeV4VZejqfNhrdh4HYJ67YChUCRkxNFTk6UuLhgcXHB4u6O1d2dck9PbJ6e4OODyccHk59fxYhbQACux0fbQkLwDAurGHELDcXsfEX/bkBERERErkJ5eXn4+fmdUzaott9WLRYLmzdv5tlnn63S3qdPH9asWVOlbc6cOTz88MN/ec2JEyfy8ssv27VOezE5OeEZHIxncLDdr11WXExhWhrF6ekUp6dTejzAZWVhzcmhPDeX8vx8jPz8ivBWWIi5qAin4mKcS0txLS3FtawMD6sVj/JyvGw2vI9d2xnwA/zsOOqWDxSZzRWhzdmZUlfX/x9tOx7avL3h2DRJ8/HQFhiI6/HQFhqKV40aeNeogZPbpYyZIiIiInKtqbYhKyMjg/LycsLCwqq0h4WFkZqaWvk+NzeXDRs2MG/evL+85rhx4xgzZkzl++MjWVc7Fw8P/KOi8I+Ksts1yy0WCtPTKTp6lKKjRynNzKQ0IwNLZibWnBys2dkYeXkY+fmQn18R2oqKcCkpwaW0FDeLBXerFQ+rtWLEDTi+t7YP4GOzgc0GZWVQXHxRtRYBBcdCW5GLS0VoOxbYyr28sHl7w7Gw5hQQgHNgIK7BwbiHhOARFoZXeDhe4eF4BAZqaqSIiIiIVN+QdZzppIUaDMOo0ubn58fRo0fP6Vpubm64aVTDLpxcXfGtWRPfmjXtcj3DZqMoK4vC1FSK0tIoSU+nNCOD0sxMrNnZWHNysOXmYuTlQUEB5sJCnIqKcC4uxqW0FFeLBbdjo21ex6ZJuhy7tifgeWJoKyq6oBqtQL7JRKHZTLGzM8WurpS6uVHm4VExwublBT4+4OeHk78/TgEBuAQF4RYSgntoaMVzbOHheIeH4+LhYZefm4iIiIhcftU2ZAUHB+Pk5FRl1AogLS3tlNEtqf5MZrPdp0uW5uWRf+QIhampFB89SklaGpaMDMqysijPzsaWk4ORm4upoACngoKKwFZSgltpKR4WC57l5XiVl+NDxV4IzkDAiQuSlJZCfv4F1VZIxehaoZMTxSeNrtm8vDCOh7Vjo2suQUEVo2uhoXiEheEZHo5PZGTFipEiIiIicllV25Dl6upKmzZtWLJkCbfddltl+5IlSxgwYIADK5Pqws3XFzdfX4IbNryo69isVvLT0ipG2Y4FttL0dMoyMynLzKT8WFgjPx9zfn7FtMjiYlxLSnC3WCpG16xWvA0D92PX9AK87DC6Vgjkms3kOztT4upK6bFVIsu9vbH5+FQsOOLvj/PxaZAhIbjVrIlHrVp4hYfjGxGBm6fnRf18RERERK41V3TIKigoYN++fZXvDx48yLZt2wgMDKR27dqMGTOGe++9l7Zt29KpUyc+++wzkpKSGDFihAOrlmuN2dkZn4gIfCIiLvpaZQUFFKSkUJiSQlFqasWUyPR0LBkZlGdnU56dXRHYjo+uFRXhWlKCm8WCR1kZnlYr3jYbx9e7qQxrFkvFq6DgvGvKh4oRNWdnil1cyPf0pPSE59VMfn6YT5j66BYWhmfNmnjXqoVv7dq461k1ERERucZc0Uu4L1++nJ49e57Sft999/H1118DFZsRv/XWW6SkpNC0aVMmTZpE9+7d7XL/81mmUeRKYi0tpfDIEQoOH6b48GGKjxyhJC2N0vR0rFlZ2LKzMeXnYy4oqBxZcy8txdNiwb+sDD+bDVc71WIB8kwm8p2dKXJ1pdjdHYuXF1Zvb2y+vuDvjzkoCOeQEFxDQ/EID8erZk28IyPxq10bF42kiYiIyBXgfLLBFR2yHE0hS65l5UVF5B8+TFZCAoUpKRUjamlpGEePYsvOhtxcyMvDqaAAp8JCXIqLcSstxctiwbu8HH/DsMtQeT6Q7+REgbMzRW5ulLq7Yzk23dE4HtBCQ3GtUQOPWrXwrFUL35gY/KKicNZCNiIiImIn18Q+WSJyaTl5euIfG4t/bOwFnW/YbOSlppKfnEzhoUMUHTlCaWoqlvR0bBkZ2LKyMOXm4pyfj3NhIe7FxXiUluJdVoZPeXnllEcfwOfExUTy8iAt7S/vbwOyTSZynZwodHWlyMODUi8vynx9sfn7YwoOxikkBNfwcNwjIvCqXRvf6Gj8o6Jw1+iZiIiIXASNZJ2FRrJEHMdaUkL+oUPkJSVRdPgwxSkplB49Sll6OkZmZsWUx9xcXPLzcSssxLO4GB+LBd/ycvwu4r7lQDaQ5+RE/mnCGYGBOB0bOXOvWROvyEhCGjQgpG5dPXsmIiJyFdNIlohUe87u7gTUq0dAvXrnfW5ZURE5Bw+Sn5BAYXIyJUeOYElNpTwtDTIzMWdn43xCOPO2WPCzWis3vQ4GgsvLKza6Li6GrKy/vKcVyDGZyHVx+f+RM2/v/w9mYWG41aiBZ2Qk3rVrE1C3Lr4xMZh9fOCk/f5ERESketNI1lloJEvk2mIrLiY/MZG8hAQKk5IoPnKEspQUytPTMTIyMOXk4JyXh3tBAR7Hwpmv1crFTC4sBfKcnSl0daXY0xOLjw/WgACM0FCcwsNxrVULr5gYfOvVw69uXZxCQsDF5S+vKyIiIvalhS/sRCFLRM6FJTeX9Ph4ChITKT58GEtKCmVpadjS0rAdGzlzycvDrbAQr5ISfKxWAg2DC12WI9dsJt/VlUJPT4p9fSkNDsYWFoa5Zk3coqPxjonBr04dAurWxTkwUCNlIiIidqCQZScKWSJyqZSWlJCZnEz2vn3kJSZSlJRESUoK5ampGOnpuGZl4Z6Xh1dREf6lpQTZbAQA5/vUl5WK58sKXFzI9fYmPyAAS0gIppAQXCIi8IyOxqdOHQIbNMA/NhaTu/tfXlNERORapJBlJwpZInKlKCsrIzMtjaz9+8k7cIDCxERKDx2i/PBhnI4exS0rC+/cXPyKivAtK8PfZrugaYx5JhPZrq7kenlRGBBAWUgIRkQELrVr4xkVhV+9egQ1bIhPVBQmTVsUEZFriEKWnShkiUh1VV5eTtaRI2QfOEDuwYMUJCZiPXgQc3IyTunpuOTk4JGfj1dxMX4WC0GGwflEJhuQYzaT7u5Ojq8vhUFBlIWHQ+3auMbGEtiiBVEdOuAfGHipPqKIiMhlpZBlJwpZInKtKC0pIX3vXrLj48nfu5fSAwewJSdjTk3FPSMDr/x8vIuL8bNaCTCMc5q2aAEOm81keHtTGBKC9/DhtH3mmUv9UURERC4JhSw7UcgSETlVUV4e6Xv2kLN7N0Xx8ZQdOIApKQm31FS8s7MJyM8nxGI5ZY+Qo2YzYeXlDqlZRETkYmmfLBERuWQ8fX2JatuWqLZtz9zJaqVw3z5S1q4l7bff6Pztt4TYbPwvMpLi0FDKa9bEKSYGjwYN8GvalBoxMYSFheHq6nr5PoiIiMglopGss9BIlojIxbMUFFDg60vgWf65yQGOAlnOzuR7elLs54c1KAhTWBhOkZG416uHb6NGBDdsSHhEBN7e3perfBEREUAjWSIicgVx9fbGun49W2bOxHrgAOZDh3BPS8M3J4fgwkI8bTb8AX8AqxXy8ipeycmnXKsUSAV2mc3keHhQ4OuLJSgIo0aNyiXpfevWJaB+fcLq1iUoOBiT9gkTEZHLTCNZZ6GRLBGRS8wwICcHW0oKeXv3krd3L4UHD1KWnIyRmopTRgZe2dn4FRYSWFZ2XpcuAdKAXBcXCjw9KfHxoTwwEEJCcKlZE/eoKHxiYwlo3JiQJk1w1h5hIiJyFlr4wk4UskREriAWC6SmUrR/Pzm7dlG4bx+WxEQ4fBjn9HRc8/LwLCzEt7QUj/P8p80GZJpMZLu5ke/lRYm/P9aQEEzh4bjWro1X3br4NWxIcLNmeIaFgUbHRESuOQpZdqKQJSJSTRUWYjl0iOw9e8jZu5fChARKDx3ClpqKKSMD19xcvAoKCCgpIdhmO6+584VAposLOV5eFPv5URYcDOHhuEZF4VGvHv7HwphHRITCmIjIVUQhy04UskRErn62sjIy9+whOy6OvD17KD5wAOuhQ3D0KK4ZGXjm5eFXXExwWRnn8y9BCcfCmKcnBf7+WGrUwFy7Nu6xsfg1a0Zomzb41qunICYiUk0oZNmJQpaIiBxnGAa5R46QsX07ubt3U7h/P2UJCZCSgktGBh65ufgVFhJUVkbQOV6zBEhzdSXb25uioCDKIyJwionBs0EDAlu0ILRtW9xCQi7hpxIRkXOlkGUnClkiInK+DMMg9+hRMnbsIDsujqK9eyk7eBBTcjJu6en45uQQUlxMmGFgPofr5ZlMpLu5kevnR0lICLZatXCtWxfvRo0IatWKkFatMHt4XPLPJSJyrVPIshOFLBERuVQKs7NJ3bKFrD/+oHD3bqwHDuB0+DDuGRn45+cTVlpK4DleK91sJsPTk4KAACxhYZhq18YtNha/pk0JbtUKvwYNMDlr1xYRkYuhkGUnClkiIuIohmGQlZTE0U2byN2xg6I9ezASEnBOScE7K4uAwkLCrVY8z+FaZUCaiwtZ3t4UBQZirVkT5wYN8G3RgpD27Qlq0QKTq+ul/kgiItWaQpadKGSJiMiVzFpWxtFdu8jYupW8HTso3bcPkpNxPXq0YrPn4mJqnMPqiVbgqIsLmT4+FNWogVGvHh7NmxPcqRPh3brh5ONzOT6OiMgVTSHLThSyRESkuivKyyN161ay/viDgl27KDtwAHNyMl5HjxKSn09Nq5W/2oY5xdmZdD8/CiMiIDYWzxYtCOncmRqdO2P2PJexNBGR6k8hy04UskRE5GpXWlzM4c2bydi4kYLt27Hu3o1bUhIBmZlElpQQcJZzbUCKiwvp/v4U1ayJKTYW71atCOvWjZAOHTC5uFyujyEicskpZNmJQpaIiFzLyq1WDv/5J6mrVpG/ZQvlu3fjnpxMYFYWtUtLz7pvmAU45OFBVmgolpgY3Jo1I7BTJ2pefz2uYWGX6yOIiNiNQpadKGSJiIicnrWsjENbtlQGMGPPHjwOHSIoO5toi+WsC3KkOzlxOCSE4uhonJs3J7BbN2r17o1bjRqXrX4RkfOlkGUnClkiIiLnr6SoiMTVqzm6fDnFW7bgtH8/fqmp1CwoIOIsXzvSnJxICQqiuG5dXNu2JbR3byJ699ZzXyJyRVDIshOFLBEREfsxDIOUPXtI/Okn8n//HeLi8D18mJp5eUSe4etIOXDI3Z2M0FDKGjTAq3NnIm+9Ff9WrcBkurwfQESuaQpZdqKQJSIicukZhkHq3r0k/fILOb//jmn7dgKSk4kpKCD4DOfkmUwkBQZSULcubh07UvPWWwnt0QO06bKIXCIKWXaikCUiIuI41rIyDq5dS+pvv1G4fj0uu3cTmpJCfYsFt9P0LwYOBgSQX78+bl26UGvAAIK7dAEnp8tduohchRSy7EQhS0RE5MqTk57Ovh9+IPO33zC2biUoMZEGhYWnXe2w0GQiITCQ/AYN8OjShdq3305Ahw6aaigi500hy04UskRERKqHooIC4n/4gbTFi2HTJoISE2lYVIT3afqmubhwuG1baj//PEE33qjAJSLnRCHLThSyREREqq+C3FziFy0i4+efYfNmQhITaVhSUmV5+SQfH5zGj6fm008rbInIWSlk2YlCloiIyNXlaFISm995B/PMmfTIyMDjWPsRNzfSe/Sg0Sef4BoT49AaReTKpJBlJwpZIiIiV689GzeyYdgwbtu9G69jbRZgT82a2Pr3J/af/8SjXj1HligiV5DzyQbmy1STiIiIyBWlfrt23BMXR9bu3fz3vvtY5+KCK9D08GGaf/IJHrGxxNWvT8Lnn2OUlDi6XBGpRjSSdRYayRIREbl2lJWVsenbb0n7/HNqbtpEa4ul8rfRRSYT+xo1ImTcOMLvvhvM+j21yLVG0wVP4OzsTNOmTQFo27Yt06ZNO+dzFbJERESuTTabjaVTp2L5179odegQ4SccS3d2Jql+fVxvuomGo0bhUrOmw+oUkctHIesEwcHBZGRkXNC5ClkiIiJSXFTE6vffp3jKFLofOoTfCcdKgLjatbF17EjsP/+Jb/v2jipTRC4xhawTKGSJiIiIvaQmJLDz888p/uEHonbtopnVWuX4AR8f0lu3xrdfP+rccw9uGuUSuWpcNQtfrFy5kv79+xMREYHJZGLhwoWn9JkyZQoxMTG4u7vTpk0bVq1aVeV4Xl4ebdq0oWvXrqxYseIyVS4iIiJXoxrR0fR6/XVu+eMP6uXmsuLtt/mxZ09+9/amDKiTn0+HFSto9OyzuNWqRaKnJxtbtmTnc89hOXzY0eWLyGVyRYeswsJCWrRowUcffXTa47Nnz2bUqFGMHz+erVu30q1bN/r160dSUlJln4SEBDZv3swnn3zCsGHDyMvLO+P9SktLycvLq/ISEREROR0PT096jB3LzUuX0jU/n/2rV7N46FB+jY5mt5MTAFHFxbT74w+aTJyIc61a7AkIYNPNN5OyYAGUlzv4E4jIpVJtpguaTCYWLFjAwIEDK9s6dOhA69atmTp1amVbo0aNGDhwIBMnTjzlGv369ePVV1+lbdu2p73HSy+9xMsvv3xKu6YLioiIyPkwDIP9Gzdy8Ntvsfz2G7Xj40+ZWphvMnGwRg1K2rYl5LbbiLrzTsxeXme4oog42lX5TNbJIctiseDp6cncuXO57bbbKvs9+eSTbNu2jRUrVpCdnY2npydubm4cOnSILl26sHXrVgIDA097j9LSUkpLSyvf5+XlERkZqZAlIiIiF8Vms7FjyRISP/0Ur5UraZWZScBJfSzAAX9/8po3x+emm6hz7724RUQ4olwROY3zCVnOl6kmu8vIyKC8vJywsLAq7WFhYaSmpgIQFxfHI488gtlsxmQy8f77758xYAG4ubnh5uZ2SesWERGRa4/ZbKZ5374079sXgPycHNbOmkXWf/+L55YtNEhPJ8IwaJiTAytXVryefZYET0/S6tfHd8AA6v3jHzgHBTn2g4jIOam2Ies4k8lU5b1hGJVtnTt3Zvv27Y4oS0REROSMfPz96TRiBIwYAUCZxcK2xYtJmTMH89q1RCUn07C8nOiiIqK3bYNt2+Dllzns6srR0FDKGjYk4u67ibznHnBxcehnEZFTVduQFRwcjJOTU+Wo1XFpaWmnjG6JiIiIXMlcXF1pOXAgLY89FmEYBvvWr698pqtBfDz1bDZqWizUPHQIDh2C//2P/AcfJCE0lKKWLQno14+YoUNxCQ117IcRkeobslxdXWnTpg1Lliyp8kzWkiVLGDBggAMrExEREbk4JpOJeh07Uq9jR6Dima6ErVs59NNPFKxdi3nbNloeOUKoYdDs6FH45ZeK16hRJHh4kF63Ls7duhF5550Ed+8O5it6QWmRq84VHbIKCgrYt29f5fuDBw+ybds2AgMDqV27NmPGjOHee++lbdu2dOrUic8++4ykpCRGHBt6FxEREbkamM1motu0IbpNm8q2/Jwc1s+ZQ+YPP+C6ZQvRKSnUs9mILi4mescO2LEDpk4lz2wmITSUklatCLjpJmLuugvn4GAHfhqRq59dVhcsKysjNTWVoqIiQkJCzrq4xPlYvnw5PXv2PKX9vvvu4+uvvwYqNiN+6623SElJoWnTpkyaNInu3bvb5f7ns4KIiIiIiCPZbDb2r19PwqxZlK1cSfDevTQpLOTkReFtQKKnJ+mxsbh0707UkCEEduqk0S6Rv3BZlnAvKCjg22+/ZebMmWzYsKHK0ue1atWiT58+PPzww7Rr1+5CLn9FUMgSERGR6iw3M5O4OXPI+vFH3LZsIeboUerYbKf2M5tJqFGD0tatCbz5ZqLvvBNnO/3SXORqcclD1qRJk3j99deJjo7m1ltvpX379tSsWRMPDw+ysrLYsWMHq1atYsGCBXTs2JEPP/yQ2NjYC/5AjqKQJSIiIlcTm83G3tWrSZo9G+uqVQTv20eToiI8T+4HHPTyIjM2FrfrrqP2kCEEdOgAJ63qLHItueQha/Dgwbzwwgs0a9bsrP1KS0v54osvcHV15aGHHjrf2zicQpaIiIhc7bLT0oibPZvsxYvx2LaNukePEnWar4fZZjNJ4eGUtmlD0M03EzVokPbtkmvKZZkueC1QyBIREZFrTXl5OXtXrSJ5zhzKVq0idP9+mhYX435SPxuQ5OFBep06OHXtSq077iC0Z09wcnJE2SKX3CUNWdnZ2RiGQWBgIOnp6axcuZIGDRrQtGnTiyr6SqSQJSIiIgJZqanEzZxJzs8/47ltG3XS00872lVgMnGwdm1Ke/Ui5IYbqD1gACYPDwdULGJ/lyxkTZs2jYkTJ2Kz2Xj66af59ttvad68OStXruSJJ57g4YcfvujiryQKWSIiIiKnstls7F+7lsS5c7GsXEnQ3r00LijA56R+JcD+kBCK2rUj9M47qX3nnQpdUm1dspDVokUL1q9fT1FREbVr1+bgwYOEhISQl5dH9+7d2bZt28XWfkVRyBIRERE5N/k5OWybMYPcf/+boL17qZObS9hJfUqA/aGh/x+6Bg9W6JJq45KFrNatW7NlyxYAWrZsWSVUtWrViq1bt15YxVcohSwRERGRC1NaUsL2efM4Ons2HuvX0ygtjfCT+ih0SXVyyUJW+/btWblyJe7u7uTm5uLn5wdAfn4+3bt3V8gSERERkdMqKS6uDF2eGzacNnQVUxG6itu3J2zIECLvuAOT+8lLbog4xiULWQUFBXh5eWE6aY+EtLQ0Dh06ROvWrS+s4iuUQpaIiIjIpXE8dKXNno3Hhg00Tkujxkl9ioEDoaEUdehA2J13KnSJQ122JdxTU1OpUePk/xyuHgpZIiIiIpdHSXExf86dS9qcOXhu2EDj9PSzhq4aQ4ZQ6447MLm5OaJcuQZdtpDVvHlz/vzzzws9/YqnkCUiIiLiGOcSuopMJvaHh2Pp2pXaDzxASJ8+cNKMKxF7uWwhq1mzZmzfvv1CT7/iKWSJiIiIXBlKiovZfix0eWzYQNP0dEJP6nPY3Z2UFi3wGzyYOg8+iJO/vyNKlauURrLsRCFLRERE5MpUVFjIH99+S+acOfhu2kTr3Fy8TzheBuwNCaG4a1dqPfAAYf36gZOTo8qVq4BClp0oZImIiIhUDwnbtxP38cfw66/UT0ig7klfcbOdnDhYty6ut9xCo2eewSn05HEwkbNTyLIThSwRERGR6qesrIxtCxaQMn06vmvX0io7G78TjluAfcHBFLZvT+Tf/06N228Hs9lR5Uo1cdlCVtu2bdm0adOFnn7FU8gSERERqf6y0tLY9umnFM6fT8z27TQtL69y/Ii7O0eaNiX0oYeo/cAD4OLioErlSnbZQtbVTiFLRERE5OpiKS3lz/nzSZ05E/d162ifns6J3/KynJ1JbN+eWs88Q0j//lqtUCopZNmJQpaIiIjI1S1x5052T5mC9ccfaZeYWGXFwiPu7qT17k3dF17Ap107h9UoV4bLHrJKSkr4888/SUtLw2azVTl26623XuzlHUYhS0REROTakZGayrrXXsN5zhy6pqdXWa1wv78/RQMHUv+FF3CLiXFYjeI4lzVk/fzzzwwbNoyMjIxTL24yUX7SnNfqRCFLRERE5NqUsHMn2155Bf/Fi+lSUMDxp7RswO6ICIwhQ6j/1FO4hIc7sky5jM4nG1z0MiojR45k8ODBpKSkYLPZqryqc8ASERERkWtXdJMmDJw9mx55eexeupT5vXqx0dUVM9D4yBGaTJqEKSKCnbGxHPrsM9D3XjnBRY9k+fr6snXrVurWrWuvmq4YGskSERERkePKy8vZMHs2RydPps7WrTS3WiuPpbm6ktK3L/X/9S88Gjd2YJVyqVzWkaw77riD5cuXX+xlRERERESuaE5OTnS6+24GbthAk5ISfnv/ff4bHU0mEGqx0OL77/Fo0oS4WrU48MYbGMXFji5ZHOSiR7KKiooYPHgwISEhNGvWDJeT9hV44oknLqpAR9JIloiIiIj8lcMHDrDhuecIXrSIbicEqxwnJ5J69KDe5Ml4NmvmwArFHi7rwhfTpk1jxIgReHh4EBQUhOmEvQRMJhMHDhy4mMs7lEKWiIiIiJwrm83G+lmzSJk4kfY7dlDreDuwu25dgl5+mbC779beW9XUZQ1ZNWrU4IknnuDZZ5/FbL7o2YdXFIUsEREREbkQWenprBw/Hv9vv+W6oqLK9mQfH0oefph6L7+MycvLgRXK+bqsz2RZLBaGDBly1QUsEREREZELFRgSwsDPPqNbXh7LPvmEhbVqkQ9E5ucT++675Pn5sf3mmylLSnJ0qXIJXHQyuu+++5g9e7Y9ahERERERuao4OTnR85FHGJiczOF165jTqRMHTCb8ystptngxtqgodvToQUl8vKNLFTu66OmCTzzxBP/+979p0aIFzZs3P2Xhi/fee++iCnQkTRcUEREREXvLSk9n2dixRM6cSfuyMgDKgPj27anz2Wd4tmjh2ALltC7rM1k9e/Y888VNJpYuXXoxl3cohSwRERERuVSKi4r4edw4gj/9lG6lpQCUA7ubNyfq00/x7tjRsQVKFZc1ZF3NFLJERERE5FKzWCz89OKLeH/wAb1OWCRjV4MGRHz0Ef69ezuwOjnusi58ISIiIiIiF87V1ZUBEyfSIzeXH199lZ99fLABjePj8b/hBuLr1iX/998dXaach4sOWRMnTuTLL788pf3LL7/kzTffvNjLi4iIiIhcE5ydnbl5wgT65OSwZNIkvg8IwAo0OHAAr27diOvUibLEREeXKefgokPWp59+SsOGDU9pb9KkCZ988snFXl5ERERE5JpiNpvpO2oUt2RmsnzqVH708cEMNFq3jrKYGOLvugsjP9/RZcpZXHTISk1NJTw8/JT2kJAQUlJSLvbyIiIiIiLXJJPJRO8RI+iTmcm8sWPZ4OyMp2HQYPZssoKDSXz+eSgvd3SZchoXHbIiIyNZvXr1Ke2rV68mIiLiYi8vIiIiInJNc3FxYdDbb9MgPZ1vBg5kPxBksRD12mskhoeTV41X875aXXTIeuihhxg1ahRfffUViYmJJCYm8uWXXzJ69GiGDx9ujxpFRERERK55fv7+3LNgAc579jCjVStygaj0dLx79SL++usxMjMdXaIcc9FLuBuGwbPPPssHH3yAxWIBwN3dnWeeeYYXXnjBLkVeqPz8fK6//nrKysooLy/niSeeOK/g93/t3Xd8U2X7x/FPmu7J6mJXhiBlFkWWIspygRNFZagoCshyIT6iOHjci6Hi5AEF8QcoCiqCbGS2gCzZZbSUUuhu0ybn90dDaIEitE3T8X2/XnmR3LnOfa6U0zRXzn3uW1O4i4iIiEhZtfr//o+TDz/M7SkpAJx2dyftpZeo/eKLYDK5OLuKxyXrZKWlpbFz5058fHxo1KgRXl5eJdFtsVitVrKzs/H19SUjI4PIyEg2bNhA9erVL2l7FVkiIiIiUpZZLBZ+GD6cVtOmcZX9Y/3+iAhqL1qE55VXuji7isUl62T5+/tz9dVXExkZWSYKLACz2Yyvry8AWVlZWK1WtPayiIiIiFQUnp6e9Pv0U/z37OHrq64iA7jiwAGsTZsS+8wzmhjDRcr0YsQrVqzgtttuo2bNmphMJubPn39ezJQpU4iIiMDb25uoqChWrlxZ4PnTp0/TsmVLateuzbPPPkuNGjVKKXsRERERkdJRt0EDBvz9N8s+/JDV7u74GAZ133mHI/XrY92zx9XpVTplushKT0+nZcuWTJo06YLPz549m5EjRzJu3Diio6Pp3LkzvXr1IjY21hFTpUoVtmzZwoEDB/j22285fvx4ofvLzs4mJSWlwE1EREREpDwwmUzc/NRTND5yhM/btCEZqH3kCFlNm3KykM/T4hwldk2Ws5lMJubNm0efPn0cbe3ataNNmzZMnTrV0da0aVP69OnDxIkTz+vjiSeeoGvXrtxzzz0X3MfLL7/MK6+8cl67rskSERERkfJm7vvvE/7007S32QA4eNNN1P/xR7BfTiOXxyXXZJU2i8XCpk2b6N69e4H27t27s2bNGgCOHz/uOBuVkpLCihUruPIiFwCOHTuW5ORkx+3w4cPOewEiIiIiIk5056hRBG/fzufh4diA+n/8wbHatcnavNnVqVV47sXtYPTo0RdsN5lMeHt707BhQ3r37k21atWKu6sCEhMTsVqthIaGFmgPDQ0lPj4egCNHjvDII49gGAaGYTBs2DBatGhRaJ9eXl5lZtIOEREREZHiatikCXUPHuTz/v25bfZsap46RVbbtiS++SY1nnnG1elVWMUusqKjo9m8eTNWq5Urr7wSwzDYs2cPZrOZJk2aMGXKFMaMGcOqVau46qqrSiLnAkznrAFgGIajLSoqipiYmBLfp4iIiIhIeeHp6cljs2ax/M472fXgg9yQk4P3s89yZPlyas+dC56erk6xwin2cMHevXtz0003cezYMTZt2sTmzZs5evQo3bp14/777+fo0aNcd911jBo1qiTydahRowZms9lx1uqMhISE885uiYiIiIhUdtffey8N/vmHKTVrYgVq//ILsU2bYiQmujq1CqfYRdbbb7/Nq6++WuDir8DAQF5++WXeeustfH19eemll9i0aVNxd1WAp6cnUVFRLF68uED74sWL6dChQ4nuS0RERESkIqhbvz4P79vHxzfdRApQd/9+jtevT2Z0tKtTq1CKXWQlJyeTkJBwXvuJEycck05UqVIFi8Vy2X2npaURExPjGPJ34MABYmJiHFO0jx49ms8//5wvv/ySnTt3MmrUKGJjYxkyZEjRX5CIiIiISAXm7e3NiN9/Z9GLL3IACEtPJ/fqq0n54QdXp1ZhlMhwwYcffph58+Zx5MgRjh49yrx583jkkUcc062vX7+exo0bX3bfGzdupHXr1rRu3RrIK6pat27NSy+9BEDfvn354IMPmDBhAq1atWLFihUsXLiQevXqFfdliYiIiIhUWCaTib6vvsrxn35irbs7AVYrvvfcw4k333R1ahVCsdfJSktLY9SoUUyfPp3c3FwA3N3dGTBgAO+//z5+fn6OM1GtWrUqbr6l6nLmwhcRERERKY92bdnCto4duSc9HYCjI0dS6/33XZxV2XM5tUGJLUaclpbG/v37MQyDBg0a4O/vXxLdupSKLBERERGpDI4dPcpvrVsz6MQJAA707UvEd9/BOTN5V2ZOX4z4zDVR+fn7+9OiRQtatmx5XoF19OjRouxGRERERERKQc1atbhr714+a9gQgIjZszl8881gtbo4s/KpSEXW1VdfzeDBg1m/fn2hMcnJyUybNo3IyEjmzp1b5ARFRERERMT5AgMDGfD330xu1QorUOfXXzl2000qtIqgSIsR79y5kzfeeIOePXvi4eFB27ZtqVmzJt7e3pw6dYodO3awfft22rZty9tvv02vXr1KOm8RERERESlhXl5eDF63jvc6d2bk+vXUXLaMIz17Uvu338Ct2HPmVRrFuiYrKyuLhQsXsnLlSg4ePEhmZiY1atSgdevW9OjRg8jIyJLMtdTpmiwRERERqYxycnJ4v1MnRq9fjztw+OabqfPzz5X6Gi2XTHxREanIEhEREZHKKicnh0mdOjFi/XrcgGP33EPN2bMrbaHl9IkvRERERESkYvPw8GDoypW8bx+dVnPOHI4/8YSLsyofVGSJiIiIiMgFeXp68sS6dbwTEQFA6KefcuK111ycVdmnIktERERERArl6+vLI5s2MTkkBICq//kPqT/84OKsyjYVWSIiIiIiclFVq1blzuho5vj54Q643XcfOZs3uzqtMqtEiqwDBw7w9ddf891337F79+6S6FJERERERMqQ8Jo1abJ8OSvc3PCzWkm9/nqIi3N1WmVSsYusDz74gIYNGzJixAiGDRtG06ZNufrqq9myZUtJ5CciIiIiImVE86go0qdPZzdQLS2N+I4dITvb1WmVOcUusl5//XXGjh3LqVOnOHnyJPv27aNz58506NCBVatWlUSOIiIiIiJSRvR64AGWPf00p4CwAwc4dvfdrk6pzCn2Olk+Pj5s27aNhg0bFmh/7bXXWLBgAevWrStWgq6kdbJERERERM5nGAZv33QTTy9dihtwatIkqg4d6uq0nKpU18lq0aIFa9euPa+9b9++bN26tbjdi4iIiIhIGWMymRi2YAGf2mcc9BoxAtvOnS7OquwodpH17rvvMmbMGGbPnk3+k2Jr166lUaNGxe1eRERERETKIF9fX7osWcJyNzd8rVYSu3aFzExXp1UmFLvI6tSpE19//TXPPPMMoaGhdOvWjeuvv57Ro0fz1ltvlUSOIiIiIiJSBjWNjOTY229zHAiJjye+Xz9Xp1QmlMgU7jfffDN79uzh66+/pnXr1nh6emIymbjlllsIDg6ma9eujBw5siR2JSIiIiIiZch9o0bxeZcuAITNn0/G3LmuTagMKPbEFxdz+PBhYmJiiI6OJjo6mnnz5jlrV06hiS9ERERERP5dcnIyP9SpwyOpqST5+VHt6FEICnJ1WiXqcmoDpxZZ5Z2KLBERERGRS7Pq998J69GDhsDRW26h1s8/uzqlElWqswuKiIiIiIh06t6dBb17A1Drl1/IqmBF1uVQkSUiIiIiIiXikenT+crPD4CMBx+stLMNqsgSEREREZESERgYSNhXX3EYqJacTPyYMa5OySVUZImIiIiISInpdc89zGnXDoCqn36KsX+/izMqfSqyRERERESkRN353Xf8aTLhZbMRd//9rk6n1KnIEhERERGRElU/IoKtgweTA9Rcvx7LggWuTqlUqcgSEREREZES98i77/KlfRKMlEcfBavVxRmVHhVZIiIiIiJS4vz9/Ql46y1OATUSEkj/4gtXp1RqVGSJiIiIiIhT9H38cb4JDgYga+xYyM11cUalQ0WWiIiIiIg4hdlspv5773ECqJ6UROrkya5OqVSoyBIREREREae5vV8//lezJgC5L70EFouLM3I+FVkiIiIiIuI0bm5uNH7/feKBqikppH/yiatTcjoVWSIiIiIi4lQ33303/wsLAyBn/PgKfzZLRZaIiIiIiDiVm5sbdSdO5BhQ5fRpcmbMcHVKTqUiS0REREREnO7OBx5gRmAgAKcmTnRxNs6lIktERERERJzOw8MD3+HDyQFC9u7FiI52dUpOoyJLRERERERKRb/Ro5lvNgMQN368i7NxngpfZN1xxx1UrVqVu+++29WpiIiIiIhUatWqVePwLbfk3V+4EFJSXJyRc1T4Iuupp55i+vTprk5DRERERESAri+/zHbA22ol49NPXZ2OU1T4IuuGG24gICDA1WmIiIiIiAjQslUrfgoPByB90iQXZ+McZbrIWrFiBbfddhs1a9bEZDIxf/7882KmTJlCREQE3t7eREVFsXLlytJPVERERERELonJZMJ/8GAsQHBsLGzb5uqUSlyZLrLS09Np2bIlkwqpcGfPns3IkSMZN24c0dHRdO7cmV69ehEbG1uk/WVnZ5OSklLgJiIiIiIiJeuOwYP52X4/+cMPXZqLM5TpIqtXr1689tpr3HnnnRd8/r333uORRx7h0UcfpWnTpnzwwQfUqVOHqVOnFml/EydOJCgoyHGrU6dOcdIXEREREZELqF27NptbtADAPGsWWK0uzqhkleki62IsFgubNm2ie/fuBdq7d+/OmjVritTn2LFjSU5OdtwOHz5cEqmKiIiIiMg5Gg0fzknAPz0dY/lyV6dTosptkZWYmIjVaiU0NLRAe2hoKPHx8Y7HPXr04J577mHhwoXUrl2bDRs2FNqnl5cXgYGBBW4iIiIiIlLy7rj3Xn62r5l1YsoUF2dTstxdnUBxmUymAo8NwyjQ9ttvv5V2SiIiIiIi8i8CAwOJ69QJli/He9GivCGD9qKrvCu3Z7Jq1KiB2WwucNYKICEh4byzWyIiIiIiUvY0HzmSJCAwIwOjAs0SXm6LLE9PT6Kioli8eHGB9sWLF9OhQwcXZSUiIiIiIpeqa48e/GI/e5X4yScuzqbklOnhgmlpaezdu9fx+MCBA8TExFCtWjXq1q3L6NGjeeihh2jbti3t27fns88+IzY2liFDhrgwaxERERERuRQ+Pj7ERkXB+vWYzzl5Up6V6SJr48aN3HDDDY7Ho0ePBmDAgAF8/fXX9O3bl5MnTzJhwgTi4uKIjIxk4cKF1KtXz1Upi4iIiIjIZajz0EPkrl9PtaQkOHAAIiJcnVKxmQzDMFydRFmVkpJCUFAQycnJmmlQRERERMQJjh8/zt6wMDoCp996iyrPPOPqlC7ocmqDcntNloiIiIiIlH+hoaHsrFULgJPff+/ibEqGiiwREREREXEptx49AAjeuhVsNhdnU3wqskRERERExKUaP/ggKUCgxYJt0yZXp1NsKrJERERERMSlrunYkZX2qdyPz5zp4myKT0WWiIiIiIi4lKenJ7GNGgGQs3Chi7MpPhVZIiIiIiLicl633gpA2L59kJnp4myKR0WWiIiIiIi4XOv77+cI4GmzkbtsmavTKRYVWSIiIiIi4nItW7VipacnUP6vy1KRJSIiIiIiLufm5kZ88+YAuOtMloiIiIiISPF59uoFQOjRo3DihIuzKToVWSIiIiIiUia06N6dv+33jZUrXZpLcajIEhERERGRMiEqKoo1JhMAKb/95uJsik5FloiIiIiIlAm+vr7E160LQNaqVS7OpuhUZImIiIiISJnh0b49AIF794LN5uJsikZFloiIiIiIlBn1b76ZTMDHYoG9e12dTpGoyBIRERERkTLj2k6diLbft6xZ49JcikpFloiIiIiIlBn169dnh48PACfL6eQXKrJERERERKTMMJlMpFx5JQC29etdnE3RqMgSEREREZEyxbtjRwCqx8aC1eribC6fiiwRERERESlTanXtShrgnZsL//zj6nQum4osEREREREpU1q0bs3f9vu50dEXjS2LVGSJiIiIiEiZUq9ePXZ6eACQtGyZa5MpAhVZIiIiIiJSpri5uZFUqxYAOZs3uziby6ciS0REREREyhxr06YA+O7b5+JMLp+KLBERERERKXNq9ezJjqpVOdGmDdhsrk7nspgMwzBcnURZlZKSQlBQEMnJyQQGBro6HRERERERcZHLqQ10JktERERERKQEqcgSEREREREpQSqyRERERERESpCKLBERERERkRKkIktERERERKQEqcgSEREREREpQe6uTqAss1qtABw5ckRTuIuIiIiIVGIpKSnA2RrhYlRkXcTevXsBaNasmYszERERERGRsmDv3r1cffXVF40pN4sRr1ixgrfffptNmzYRFxfHvHnz6NOnz0W3Wb58OaNHj2b79u3UrFmTZ599liFDhlzyPk+dOkW1atU4fPiwzmSJiIiIiFRiKSkp1KlTh6SkJKpWrXrR2HJzJis9PZ2WLVsyaNAg7rrrrn+NP3DgADfffDODBw9mxowZrF69mieffJLg4OBL2h7AbDYDEBgYqCJLREREREQcNcLFlJsiq1evXvTq1euS4z/55BPq1q3LBx98AEDTpk3ZuHEj77zzziUXWSIiIiIiIperws4uuHbtWrp3716grUePHmzcuJGcnJwLbpOdnU1KSkqBm4iIiIiIyOWosEVWfHw8oaGhBdpCQ0PJzc0lMTHxgttMnDiRoKAgx61OnTqlkaqIiIiIiFQgFbbIAjCZTAUen5nj49z2M8aOHUtycrLjdvjwYafnKCIiIiIiFUu5uSbrcoWFhREfH1+gLSEhAXd3d6pXr37Bbby8vPDy8iqN9EREREREpIKqsEVW+/btWbBgQYG233//nbZt2+Lh4eGirERERFzPMAzSk5JIPXKE9Lg4cpKTyU1LIyc1FWt6Oq3uuQePxo0BWDt3LtmzZkFuLkZODuTmnr3l5HD1c8/hf9ttACyaNg3fDz7AZLWCYWA6s0qM/d9mY8ZQzb6Uyi9ffUXQq6/mxeRfTcYwMAENhw4l5NlnAVj47bdUtd8/t0+AugMGUHPixLwc/u//qDZ0qCPOZBgYgAkwubkRfNdd1Js8uaR/pCIiBZSbIistLc2xODDkTdEeExNDtWrVqFu3LmPHjuXo0aNMnz4dgCFDhjBp0iRGjx7N4MGDWbt2LV988QXfffedq16CiIiI0xzZuZPE1avJOHiQ7KNHscbFQWIiHklJeKWmcvVXX2G+9VYA3uzaleeXLcO/kL7ScnPxGD8egJUzZvDsvHmF7vfUkiVgL7J2rFnDmB07Co1N3LAB7EXW3pgYRhw4UGjs8Q0bHPcP7NrFzUePFhobFxPjuH/44EF6HT9eaOyx7dsLfU5EpKSUmyJr48aN3HDDDY7Ho0ePBmDAgAF8/fXXxMXFERsb63g+IiKChQsXMmrUKCZPnkzNmjX56KOPNH27iIiUS8mJiRz47TdOrlyJdccOPI8d47pp03Cz/22c8fDDPP/XX4Vun7ZpE/72IsutShVHeyqQ4eaGxc2NHDc3csxmwvMtshnRrh1rN2zAcHPDMJsL3DCbadmunSM26uabWXbwINif48w10CYTmEy0shdjANfefDPL9u/HZDJh2J835Ytvfv/9jtiOPXuyfNcuR6zJHn9mm6Z9+jhiO910EysHDCiwb5Nb3iXoudnZRNp/BiIizmQyjPzn6CW/lJQUgoKCSE5O1mLEIiJS6ua+/DLVP/2UsMRErsjN5dzB7qkvvkjAq68C8NHgwdz71VekeHmR5udHdmAg1mrVMIKDcQ8Lo+UTT+Dbti0AaadO4ZaVhU9ICKZLWFSzojEMg2M7dlArIgJ8fV2djoiUE5dTG5SbM1kiIiIVVXp6OqtXr2bZsmW8+OKL+No/+B84cIA7803ilGoycSQwkOSaNbHWrUvz665zPPfUtGkwbRphl7A//3xnqiqbuLg4VjVsyJ0ZGVi++QbP/v1dnZKIVEAqsiqhLl260KpVKz744ANXpyIiUinl5uayevVqli5dytKlS1m3bh05OTkAdO3alZtuugmA64YM4a/UVAI6dKB2jx4ERUbStJBlSOTShIWFcdJkwgwc/+47aqrIEhEnUJEl5/nss8/49ttv2bx5M6mpqZw6dYoq+cbvi4hI0f3xxx8MGjSII0eOFGivW7cuXbt2JcQw4LXX4LrruPq662DuXBdlWjGZTCZSr70WlizBd/XqvFkKVbiKSAmr0IsRS9FkZGTQs2dPXnjhBVenIiJS7p0+fbrAxEw1a9bkyJEjVKtWjX79+jFt2jT27dvHwYMH+eqrr2jh4QH/+Q8MHuzCrCu2KwYOJAWokpqKbflyV6cjIhWQiqxKymaz8eyzz1KtWjXCwsJ4+eWXHc+NHDmS559/nmuvvdZ1CYqIlHPbtm1jyJAh1KpVi2eeecbR3rRpUxYtWsThw4eZOXMmjz76KFdcccXZmfVOn877t3r10k+6krjl7ruZ7+kJQLx9fS0RkZKk4YIlyDAMMjIySn2/vr6+Z/84X6JvvvmG0aNHs27dOtauXcvAgQPp2LEj3bp1c1KWIiKVw6+//srEiRNZsWKFo+2ff/4hJycHDw8PTCYTPXv2LLyDM0WWhmk7jbe3Nwk33wzz51Nt6VJISwP/wlYNExG5fCqySlBGRgb+LniTTktLw8/P77K2adGiBePtC002atSISZMmsWTJEhVZIiJFtH79el588UUWL14MgNls5o477mDYsGFcd911l/5lmIqsUnH92LHsnj+fK3NzyfjmG3yHDnV1SiJSgajIqqRatGhR4HF4eDgJCQkuykZEpPxbuXIlixcvxt3dnaFDh/L0009Tu3bty+9IRVapaHv11XzfuzduTZvS8KGHXJ2OiFQwKrJKkK+vL2lpaS7Z7+Xy8Ci4pKXJZMJms5VUSiIiFV5ubi5xcXHUqVMHgCeeeILY2FhGjhxJRERE0Ts+dSrvXxVZTmUymeg7f76r0xCRCkpFVgkymUyXPWxPRETKn3Xr1vH4449jtVrZvHkzHh4e+Pr68uGHHxa/c53JEhEp9zS7oJwnPj6emJgY9u7dC+TNkBUTE0NSUpKLMxMRcS2LxcLzzz9P+/bt2bJlC0ePHmXHjh0lu5NnnoH586F375LtV86Tk5PDkrffZmH37lj/+svV6YhIBaIzWXKeTz75hFdeecXx+LrrrgPgq6++YuDAgS7KSkTEtVatWsWTTz7Jtm3bAHjooYd49913CQ4OLtkdRUbm3cTp3NzcOPzCCwzMzeVERATBWrpEREqIyTAMw9VJlFUpKSkEBQWRnJxMYGCgq9MREREX+eyzz3jyySexWq1Ur16dadOmcccdd7g6LSkBb191Fc/s3ElijRrUSEiAy1wSRUQqj8upDTRcUERE5CKysrL49NNPsVqt9O3bl927dzu3wPrmG5g58+y1WeJU9caMIRWokZiIdckSV6cjIhWEzmRdhM5kiYgIwMmTJ/n+++95/PHHcXNz8veTQUGQkgK7d0Pjxs7dl5Cdnc23VaowKCuLox06UGv1alenJCJllM5kiYiIFMOff/7Jc88953hcvXp1nnjiCecXWFZrXoEFml2wlHh5eZF8330AhK5dC/HxLs5IRCoCFVkiIiL5LFiwgF69evHWW2+xePHi0t35mQIL8s5oSam45YUXWAe4GwaZc+a4Oh0RqQBUZImIiNh999133HnnnWRnZ9O7d286d+5cugmcuQ7Lxwe8vEp335VYo0aNWF+lCqlubiQfOuTqdESkAtAU7iIiIsDHH3/MU089BcADDzzAV199hYeHR+kmoYWIXWbgjh0EhIQQYDa7OhURqQBUZImISPkSHw/ff1/48+3a5d0ATp6EGTMKj42KwujYkfHjx/Phq68yAujcqRN3REXhNnlywdiWLeGGG/Lup6fDZ58V3u9VV0GPHnn3LRb4+OPCY6+8Em69Ne/+qVN5/6rIKnUB4eGuTkFEKhAVWSIiUr4cOgQjRhT+/Msvny2y4uJg5MjCY599lr/MZl599VXqAx8ArFqVdzvX0KFni6y0NBg9uvB+Bw4sWGQ9/XThsffee7bIatgw79+SXuBYLllqSgpGXByBV17p6lREpBxTkSUiIuVL9erQt2/hzzdrdvZ+UBDcf3/hsS1b0r59e9555x2qW62wZUvhsW3bnr3v7Q0PPFB4bPv2Z++7u8ODDxYee6YgBKhTJ69Ae+yxwuPFab566imumzSJwODgvDOmWphYRIpI62RdREVdJ6tLly60atWKDz74wNWpiIhculOn8mbfq1oVivmenJubS0ZGRoV6b5fimzllCncOHYoPYKxfj+nqq12dkoiUIVonS0rN6tWrcXd3p1WrVq5ORUQquq++gvr184btFYPVamXAgAHccMMNJCUllUxuUiH07t+fn+wTX8S9/LJrkxGRck1FlhRZcnIy/fv358Ybb3R1KiJSGaSl5f3r51fkLqxWK4MGDeLbb79l69atbNq0qYSSk4rA39+fw7fdBkDwr7/C8eMuzkhEyisVWZWUzWbj2WefpVq1aoSFhfFyvm/skpOTeeyxxwgJCSEwMJCuXbuy5QLXKTz++OP069eP9vmvPRARcZYzRZa/f5E2t9lsPProo/zvf//DbDYza9YsunXrVoIJSkXQ+803WQt42GyceOUVV6cjIuWUiiwnSE9PL/SWlZV1ybGZmZn/GltU33zzDX5+fqxbt4633nqLCRMmsHjxYgzD4JZbbiE+Pp6FCxeyadMm2rRpw4033lhgWM1XX33Fvn37GD9+fJFzEBG5LGfe84p4Juu5557j66+/xs3NjW+//Za77rqrBJOTiqJR48asvOYaAHy+/BIyMlyckYiUR+WqyJoyZQoRERF4e3sTFRXFypUrLxo/c+ZMWrZsia+vL+Hh4QwaNIiTJ086PU9/f/9Cb+f+UQ8JCSk0tlevXgVi69evf15MUbVo0YLx48fTqFEj+vfvT9u2bVmyZAl//vkn27ZtY86cObRt25ZGjRrxzjvvUKVKFX744QcA9uzZw/PPP8/MmTNxd9cElSJSSopxJmvZsmW89957AEyfPp177723JDOTCqbTO++wD/DPziZr9mxXpyMi5VC5KbJmz57NyJEjGTduHNHR0XTu3JlevXoRGxt7wfhVq1bRv39/HnnkEbZv386cOXPYsGEDjz76aClnXja1aNGiwOPw8HASEhLYtGkTaWlpVK9evUAxd+DAAfbt24fVaqVfv3688sorNG7c2EXZi0ilVMQiyzAMXnrpJWw2GwMHDuSBi029LgJ06NyZnU88wcm5c/EeONDV6YhIOVRuTkO89957PPLII44i6YMPPuC3335j6tSpTJw48bz4v/76i/r16/PUU08BEBERweOPP85bb73l9FzTznwQuACzfdaiMxISEgqNdXMrWAMfPHiwWHnl5+HhUeCxyWTCZrNhs9kIDw9n2bJl521TpUoVUlNT2bhxI9HR0QwbNgzIu87BMAzc3d35/fff6dq1a4nlKSLiUMThgiaTienTpzNq1CgmT57shMSkIrp1yhRXpyAi5Vi5KLIsFgubNm3i+eefL9DevXt31qxZc8FtOnTowLhx41i4cCG9evUiISGBH374gVtuuaXQ/WRnZ5Odne14nJKSUqR8/S7jA4CzYouqTZs2xMfH4+7uTv369c973mazsW3btgJtU6ZMYenSpfzwww9EREQ4PUcRqaRuvRXq1YMmTS570/r16zNv3jwnJCUiInK+cjFcMDExEavVSmhoaIH20NBQ4uPjL7hNhw4dmDlzJn379sXT05OwsDCqVKnCxx9/XOh+Jk6cSFBQkONWp06dEn0d5cFNN91E+/bt6dOnD7/99hsHDx5kzZo1vPjii2zcuBE3NzciIyML3EJCQvD29iYyMrJUCkERqaSGDYNPPwX7pAT/5r///S/Tp093clJSkc197jkW1a9P/AsvuDoVESlnykWRdYbJZCrw2DCM89rO2LFjB0899RQvvfQSmzZt4tdff+XAgQMMGTKk0P7Hjh1LcnKy43b48OESzb88MJlMLFy4kOuuu46HH36Yxo0bc99993Hw4MHzilwRkbLq1VdfZezYsQwYMIB169a5Oh0pp/b98gu9Dh3C9M03YBiuTkdEyhGTYZT9dw2LxYKvry9z5szhjjvucLSPGDGCmJgYli9fft42Dz30EFlZWcyZM8fRtmrVKjp37syxY8cIDw//1/2mpKQQFBREcnIygYGBJfNiRESkaI4dAx8fCAoCt8K/I/ziiy8c1+++9NJLvKK1jqSIvn77be579lm8gdzFi3G/6SZXpyQiLnQ5tUG5OJPl6elJVFQUixcvLtC+ePFiOnTocMFtMjIyzps44sykE+WgrhQRkXM1aQLVqsH+/YWGbNq0iaFDhwLwyiuvqMCSYuk7bBjf+fgAcHz0aBdnIyLlSbkosgBGjx7N559/zpdffsnOnTsZNWoUsbGxjuF/Y8eOpX///o742267jblz5zJ16lT279/P6tWreeqpp7jmmmuoWbOmq16GiIgUhWH86xTuNpuNoUOHkp2dTe/evXnxxRdLMUGpiHx8fMgcOpRcoNa2bdg2bnR1SiJSTpSL2QUB+vbty8mTJ5kwYQJxcXFERkaycOFC6tWrB0BcXFyBNbMGDhxIamoqkyZNYsyYMVSpUoWuXbvy5ptvuuoliIhIUWVlnb0mppAi64033mDdunX4+voyderU80YziBTFAy++yNwPPuDe3FzinnmGWn/+6eqURKQcKBfXZLmKrskSESkjTpyAkJC8+1brBa/JevPNN3nhhRf4/PPPGTRoUCknKBXZu/fdx5jZs8k2m/E6ffqyF8QWkYqhwl2TJSIildyZoYK+voVOevHcc8/x999/q8CSEnf9mDGsDwlh7913Q26uq9MRkXKg3AwXFBGRSiw9Pe/fc9biOzMY48xyHk2bNi3VtKRyaHv11XD8uKvTEJFyRGeyRESk7EtJyfv3nGFav/32G507d77gUh4iIiKuoiJLRETKvmrVYMgQuPtuR1NWVhbPPPMMq1evZsGCBS5MTiqLQzt3Mr9fP1L+7/9cnYqIlHGa+OIiNPGFiEjZ9eSTTzJ16lSCg4PZvn07wcHBrk5JKrj3a9ZkVFwcxxo3pubu3a5OR0RKmSa+EBGRCm3OnDlMnToVgBkzZqjAklLhPWAANqDmP/9g3bDB1emISBmmIksKeP311+nQoQO+vr5UqVLlvOe3bNnC/fffT506dfDx8aFp06Z8+OGHpZ+oiFQux49DcjIYBvv37+fRRx8F8hai7969u4uTk8ri/uee4wcPDwDi7cegiMiFqMiSAiwWC/fccw9PPPHEBZ/ftGkTwcHBzJgxg+3btzNu3DjGjh3LpEmTSjlTEalUBg2CKlXImTaNvn37kpKSQseOHZkwYYKrM5NKpEqVKiSNGEEOUGvrVnKWLHF1SiJSRumarIuoqNdk2Ww23n77baZNm8bhw4cJDQ3l8ccfZ9y4cY6Yr7/+mpEjR3L69Ol/7W/o0KHs3LmTpUuXOjFrEanUWreGmBhSZ8+mz6efEhMTQ0xMDHXq1HF1ZlLJpKen80NwMAMyM4lr0IDwPXvAvoSAiFRsl1MbOHWdLKvVytdff82SJUtISEjAZrMVeL6ifihPt6/n4uvr61i7xWKxkJOTg7u7O15eXufF+vj44GZfYDMnJweLxYLZbMbb2/uisUUxduxYpk2bxvvvv0+nTp2Ii4tj165dRe4vOTmZatWqFXl7EZF/FRcHQEDjxvz+++/s2bNHBZa4hJ+fH8a4cWS++CLh+/aRNW8e3nfe6eq0RKSMcepwwREjRjBixAisViuRkZG0bNmywK2i8vf3x9/fn8TEREfb22+/jb+/P8OGDSsQGxISgr+/P7GxsY62yZMn4+/vzyOPPFIgtn79+vj7+7Nz584i55aamsqHH37IW2+9xYABA2jQoAGdOnVyXN9wudauXcv333/P448/XuScREQuKjcXIyEh7354OGazmSZNmrg2J6nU+j3zDN9Wq8a+WrXI1ZeMInIBTj2TNWvWLL7//ntuvvlmZ+5GLsPOnTvJzs7mxhtvLHZf27dvp3fv3rz00kt069atBLITETlfVkwM3oaB1c2N3IAAvP59ExGn8vT0pP/hw3j4+GioYDlgs1rJPH2ajMREspKSyE5KIictDWtGBrnp6Xn/ZmRgy8w8e8vKwrDfsFgK3nJycLNYMOXm4paTg+lCV94YBqZzHl9I/m2Ncx4XFldYX+fts5D9F7aPYm9/kefOe52XsM/82wQ2bswV69cXut+yyKlFlqenJw0bNnTmLsqktLQ0IG+44BnPPPMMI0eOxN294I88wf7trI+Pj6Nt6NChDB48GLPZXCD24MGD58VeruJsm9+OHTvo2rUrgwcP5sUXXyyRPkVEzmUYBisefJDuwGJ3d5qfOkWtfO+tIq7ioePQZQzDIOHAAY4tX07GP/9gOXIEa3w8phMncD99Gp+UFPwyM6lisRBos+EL+NlvUj6d/ucfV6dw2ZxaZI0ZM4YPP/yQSZMmOa5Nqgz8/M7/Nfb09MTT0/OSYj08PPCwTxH7b7GXq1GjRvj4+LBkyZIiDxHcvn07Xbt2ZcCAAbz++uvFzklEpDCfvP0299sXfQ1//XVq1arl4oxEzsrJySF67lz8Y2K46vXXoRjXS8uFxe/fz/4ffyRl2TLcd+4k8PhxaqamUtswCC1CfxYg02Qi22Qix2Qix82NXDc3csxmcs1mrGYzVnd3rO7u2NzdsXp4YJxzw9Pz7M3DAyPfl+Lnfd7N//jM/UuJgQLHk6mwmELum0wmDPtj0yVuU2D7/MfypeRXSJzJZMJwNJkuLY8LvO7whg2pQvni1CJr1apV/PnnnyxatIhmzZqdVzjMnTvXmbuXC/D29ua5557j2WefxdPTk44dO3LixAm2b9/OI488QmxsLElJScTGxmK1WomJiQGgYcOG+Pv7s337dm644Qa6d+/O6NGjiY+PB8BsNmsxUBEpUcuXL2f4Cy/wP+CLqChajh7t6pRECpj57rvcM3YsfsCpwECqjh3r6pTKtRyLhZj58zn+xRf4/v03tRISaJibS1gh8UlubiT4+JDu7092UBC2atUgJASPmjXxrlsXv/r18alVC69q1fCtUQPvqlXx9PLi/K+8RUqeU6dwHzRo0EWf/+qrr5y16xJRkadwnzhxItOmTePYsWOEh4czZMgQxo4dy8CBA/nmm2/O2+bPP/+kS5cuvPzyy7zyyivnPV+vXj3HcEYRkeI6cuQIUVFRJCQk0K9fP2bMmFGpRkRI+WC1WvmoQQNGHTpEhtmMz969mOrXd3Va5YZhGKyfO5eEjz4i6O+/aZyUdMGC6oTZzNGQEDIbNcKjeXOqtW9PzS5d8NaZbSlll1MbaJ2si6ioRZaISFlms9n4pH59ph0+jNGyJWvWrClwjatIWbJz+3aSmjeno2Fw7OabqfnLL65OqUyzZGezedYsjn/5JSHr13NNVhb5r0DPAfaGhJDSrh2B119PvT598G3QwFXpihRQZtbJOuPEiRPs3r0bk8lE48aNNaxMREQK5TZ3Lk8ePsxDJhNJn32mAkvKtKbNmvFOnz50nDeP4EWL4MgRqF3b1WmVOZt/+439zzxD6+3bufacdVN3hYaS1qULIb17U6d3b5rqd14qAKeeyUpPT2f48OFMnz7dsRCx2Wymf//+fPzxx2X+D6fOZImIlLJ//oG2bSE1FeuYMZjfecfVGYn8q4MHDxIbEcF1wPF+/QidOdPVKZUJSQkJrHvrLawzZnDj8eOcmd84G9hTsya5PXrQaPRo/CIjXZmmyCW7nNrAqdPgjB49muXLl7NgwQJOnz7N6dOn+fHHH1m+fDljxoxx5q5FRKSc2bZuHZbevSE1Fa67DvN//+vqlEQuSf369fmra1cAAubMgfR0F2fkOhaLhV/GjeOXunXJDQ2l17vvcqu9wNpfvTp7Xn4Zj9OniTx6lFZffqkCSyosp57JqlGjBj/88ANdunQp0P7nn39y7733cuLECWftukToTJaISOk4lZTEkrp1uTs9HUu1anj+/TeEh7s6LZFLtnb1anx79cL9+utp9s03UK2aq1MqVbm5uSx57z1yX3+dW1JSHO2nzGYOtmpFnXHjqNGnjxZvlnKtzFyTlZGRQWjo+asYhISEkJGR4cxdi4hIOWEYBjNvvJFh6elYAcs33+CpAkvKmfYdO0K+4qKySEpM5M+nnyZs1ix6ZGcDYAO2tWpFteHDqfPQQ1S9wNqfIhWdU4cLtm/fnvHjx5OVleVoy8zM5JVXXqF9+/bO3LWIiJQTb/73v9Szr8kXP2wY/rfe6tqEREpA5qlTrk7BqTYvXMj/XX01p0JCuOubb+iYnU0usO2qq0hdsoSW0dHUefhhUIEllZRTz2R9+OGH9OzZk9q1a9OyZUtMJhMxMTF4e3vz22+/OXPXIiJSDvzvf/9j7Asv4Ab8PnAgN374oatTEikWm83GjBEjuP6TTwifPx/PW25xdUolasdff7H1wQe5fd8+2tjbUsxmDnXvTqMPPqB548YuzU+krHD6OlmZmZnMmDGDXbt2YRgGV111FQ888AA+Pj7/vrGL6ZosERHn2bRmDR1uuAGLxcKYMWN4RzMJSgWQmZnJzJAQHk1LI75OHcIOHaoQ1yH9s3kzmx97jBs2beLMhSD7atTA+uijNBo3DpO/v0vzEykNWoy4hKjIEhFxEpuNtcHB/J2UxO+33cbs+fNxc3PqCHaRUjPjvffoM2YM/kDGN9/g27+/q1MqspTkZOb368dNCxdS0952zN8f01tvET5kSIUoIEUulUuLrJ9++olevXrh4eHBTz/9dNHY22+/vSR3XeJUZImIOMnLL8Mrr5Dr4UH6n38S1LGjqzMSKTG5ubl8GhrK0KQkTvv4UOXQIQgOdnVal8UwDBZ99BH+zz7LdRYLAHG+vmSOGsUV48frWiuplFxaZLm5uREfH09ISMhFv5U0mUxYrdaS3HWJU5ElIuIEP/8Mt92Wd//rr2HAAJemI+IMqxcvpkr37jQDjkZFUWvDhnJz1mf/zp2svv127tm7F28g22Ti8IMP0vCzz8Db29XpibiMSxcjttlshISEOO4XditKgTVlyhQiIiLw9vYmKiqKlStXXjQ+OzubcePGUa9ePby8vGjQoAFffvllkV6XiIgUX9K6dWTdc0/eg6FDVWBJhdWxWzeWPfYY2UCtTZs4+frrrk7pX1mtVr4dPhxLs2Y8ZC+w9jZoAH//TcPp01VgiVwGpw6Anz59Otn2NRPys1gsTJ8+/bL6mj17NiNHjmTcuHFER0fTuXNnevXqRWxsbKHb3HvvvSxZsoQvvviC3bt3891339GkSZPLfh0iIlJ8qfHxJHXpgndWFv8EB8N777k6JRGnenzyZKbUqwdAxo8/Qhm+DH7Hhg18X7s2902aRBPDIMnTk2Pvv0/DPXvwuuoqV6cnUu44deILs9lMXFyc48zWGSdPniQkJOSyzma1a9eONm3aMHXqVEdb06ZN6dOnDxMnTjwv/tdff+W+++5j//79VLvEVdezs7MLFIUpKSnUqVNHwwVFRIrJZrOxsl49rj9yhONubqQsXUqj6693dVoiTnfwwAG8//qLsPvuK5PDBXNycpj1+ON0/OorrrC3/dO+PY0WLMBUvbpLcxMpa1w6XDA/wzAwXeAN5ciRIwQFBV1yPxaLhU2bNtG9e/cC7d27d2fNmjUX3Oann36ibdu2vPXWW9SqVYvGjRvz9NNPk5mZWeh+Jk6cSFBQkONWp06dS85RREQKN3r0aP575AjHgcQpU1RgSaVRPyKCsPvvL5MFVsyKFcwPD+che4F1wtubxOnTabxmjQoskWJyymLErVu3xmQyYTKZuPHGG3F3P7sbq9XKgQMH6Nmz5yX3l5iYiNVqJTQ0tEB7aGgo8fHxF9xm//79rFq1Cm9vb+bNm0diYiJPPvkkSUlJhV6XNXbsWEaPHu14fOZMloiIFF16ejoff/wxNmDJtGn0e/RRV6ck4hLrFy3C5/vvaf7lly4tunJzc/nfwIHcNHMmrext/9x4I43+7/8wXcaX4CJSOKcUWX369AEgJiaGHj164J9vgTpPT0/q16/PXXfdddn9nntWrLAzZZA3NMVkMjFz5kzHWbP33nuPu+++m8mTJ19wMWQvLy+8vLwuOy8RESlcTk4ONpsNgLvL8XpBIsXx24IFNLv9dmoD6ddfj9/AgS7JI3b/fv687joGHD2KGxDv74/X9Ok0vuMOl+QjUlE5pcgaP348APXr1+e+++4rduFSo0YNzGbzeWetEhISzju7dUZ4eDi1atUqMCyxadOmGIbBkSNHaNSoUbFyEhGRS5STw1P57uPp6cpsRFyia8+efFKjBsMTE8keMQK/++4r9dn6fv/iCwIff5wB9mvi9914Iw1+/BH8/Eo1D5HKwKnXZF111VXExMSc175u3To2btx4yf14enoSFRXF4sWLC7QvXryYDh06XHCbjh07cuzYMdLS0hxt//zzD25ubtSuXfuS9y0iIsXj4+bGh8CHgLkMz64m4kweHh5cOW0ah4FqKSkkjhtXavs2DIMvHnuMNo8+yrVWK2lmM8c//JAGf/yhAkvESZxaZA0dOpTDhw+f13706FGGDh16WX2NHj2azz//nC+//JKdO3cyatQoYmNjGTJkCJB3PVX/fMNQ+vXrR/Xq1Rk0aBA7duxgxYoVPPPMMzz88MMXHCooIiLOkX80g9lsdmEmIq7VvU8fvmvZEgC/Dz+EuDin79NqtTLl9tu5b9o0agCHQ0Lw/PtvQp966l+3FZGic8pwwTN27NhBmzZtzmtv3bo1O3bsuKy++vbty8mTJ5kwYQJxcXFERkaycOFC6tnXn4iLiyuwZpa/vz+LFy9m+PDhtG3blurVq3Pvvffy2muvFe9FiYjI5dHZKxGH2779lr+aNeNaq5VjAwZQ8/ffnbav7OxsPr3uOp5Yvx4PILZJE+pu2AD5rpUXEedw6jpZ1atX5+eff6Z9+/YF2tesWcMtt9zCqVOnnLXrEnE5c+GLiMiF5SQl4WGfDtpIT8fk6+vijERc672+fRn9/fcAZP/8M1633FLi+4g/epQF113H4P37ATjUsSP1li7VNZEixVBm1snq1q0bY8eOJTk52dF2+vRpXnjhBbp16+bMXYuISBmRmpLiuG/TWS0RBn/+Od8FB7P3hhvw7NixRPs2DIMfXnyRY/XqOQqs2DvvpN6KFSqwREqRU4cLvvvuu1x33XXUq1eP1q1bA3nTuoeGhvK///3PmbsWERERKZMCAgK4Ly4OUwlfo2i1WpncoweDlyzBB0g1m0l+4QXqvvJKmVwMWaQic2qRVatWLbZu3crMmTPZsmULPj4+DBo0iPvvvx8PDw9n7lpERESkzMpfYB09fJisBQto8OSTxerz08cecxRY+5s0od4ffxBQq1YxMxWRonBqkQXg5+fHY4895uzdiIhIGWX4+NDdfn+RvmATKWBrdDTHr72WbhYLp81mqjz++GX3YRgG0wYN4v5vvsEHONKiBVds2gTuTv+YJyKFKJXfvh07dhAbG4vFYinQfvvtt5fG7kVExIUMs5kzqxya9KFPpICIhg1ZFxAAJ0/i9eST5LRti0dU1CVvb7VamXr77Ty8cCG+wOG6damzfLkKLBEXc+pv4P79+7njjjvYtm0bJpOJMxMZmuzjgq32FcdFREREKqOAgACuW7GCJS1acKPVSmLXrtQ4cACqVfvXbXNycpjSpQtPrlmTN0V7s2bUXbdOCwyLlAFOnV1wxIgRREREcPz4cXx9fdm+fTsrVqygbdu2LFu2zJm7FhGRsiI7m0eBRwH05ZrIea686iosX3/NAaBGSgpHu3T519+VnJwcJrdvz7AzBVbHjtSNjlaBJVJGOLXIWrt2LRMmTCA4OBg3Nzfc3Nzo1KkTEydO5CmtNC4iUin4mkxMA6YBJk3hLnJBvR58kF8fe4wMoNa2bcT9y7VZnw0bxhObNmEGYnv0oO6KFaBrHkXKDKcWWVarFX/7quI1atTg2LFjANSrV4/du3c7c9ciIlJG+OZbfNikaaRFCvX41KlMbtUKgJAvv4SjRy8Yt/aPP+j02Wd4AUejoqi7cCG4OfUjnYhcJqf+RkZGRrJ161YA2rVrx1tvvcXq1auZMGECV1xxhTN3LSIiZYXOXolcEjc3Nwb+/jt/3HgjmStWwAWmX/950iT8unenJZDs5UUtFVgiZZJTJ7548cUXSU9PB+C1117j1ltvpXPnzlSvXp3Zs2c7c9ciIlJG5OTkcGYQk2EY6FyWSOGCg4O56Y8/zmu32Wx8OWAAvWfMIBhI8vTE65dfICSk9JMUkX/l1CKrR48ejvtXXHEFO3bsICkpiapVq2rIiIhIJXH61CmC7fdN+sZd5JLZbDbev+UW+mRnsygpice3bMEDOBwaSs2//sJcv76rUxSRQjityMrNzcXb25uYmBgiIyMd7dUuYUpSERERkcpu7mef8fivv+IP3AF4AAeuvZaIJUsg37WOIlL2OO0rRXd3d+rVq6e1sERERESKoM+jj/J+o0YA1AKONWlCxJo1KrBEygGnjtt48cUXGTt2LElJSc7cjYiIlGE2X1/uIO+beF2gL3LpDh86RJNDh/jc/th89CjWQ4dcmpOIXBqnXpP10UcfsXfvXmrWrEm9evXwO2eBvM2bNztz9yIiUhZ4ejL/zH0VWSKX5ND+/Wxo3Zp7LRbmAseAmqmpJF15JR4//URAvuveRaTscWqR1adPH2d2LyIi5YgmPBK5NAf372dz8+bcm5GBFegyZQprbTYShw+nhcVCTq9eGDt3YrrySlenKiKFKPEi66OPPuKxxx7D29ubQYMGUbt2bdz0zaWISOWVnc39gMkw8tbMUrElclHf33svz2ZkkAOkTJ1K9SFDuAXY0ro1v3bvTssePQhXgSVSppkMo2RXiXR3d+fYsWOEhIRgNpuJi4sjpJyu4ZCSkkJQUBDJyckEBga6Oh0RkXIp7eBB/CMi8h5YrRoyKHIRK379lfBevWgEJA4dSo1Jkwo8n5OdjYfZDO5OHYwkIhdwObVBif+lq1mzJv/3f//HoUOHMAyDI0eOEBsbe8GbiIhUfP7+/q5OQaRciDt2jBN33EEjINnHhxoTJ54X4+Hl5SiwNi9bxqprr8Wmz1QiZU6Jn8n67LPPGD58OLm5uYXGGIaByWQq89O760yWiEgJSEyEYPtyxDqTJXJBFouFKVdeyciDB8kFchYuxKdXr0LjY2Nj2VW/Pt0NgwR/f6pFR+PesGHpJSxSCV1ObVDi55ofe+wx7r//fg4dOkSLFi34448/qF69eknvRkREyoncnJyzf2x0PZbIBU2+5x6GHzwIwKlx4wi+SIEFULduXTa//z57R46kYVoaJ5s3x3/1arzatCmFbEXk3zhlQG9AQACRkZF89dVXdOzYES8vL2fsRkREyoHExETCXJ2ESBk2+513eOCnn3AHjnbpQq1XX72k7fqMGMEif3+yBw+mWVYWKe3akfvrr/jdeKNzExaRf+XUMRsDBgxQgSUiImfpTJZIARtXraLBs88SAsSHhVHrl18u6/ek1yOPkDRvHuvd3AjMzcWte3cy//jDeQmLyCXRwHgRERERF0g4fpx9PXrQ1jBI8fAgZPVq8PW97H469+6N+7JlLPXwwMdmI/nRR52QrYhcDhVZIiLiVFZfXx4ABmjCCxGHnJwcZnTuTF/7gsPmOXNwu+KKIvfXpnNnvH7+mb+rVaP6vHkll6iIFIn+4omIiHN5e/Mt8K2KLBGHz556imF79gBw8umn8evdu9h9duzenWYnTuDRujUA6enpLL73XoyEhGL3LSKXp1T/4lmtVmJiYjh16lSRtp8yZQoRERF4e3sTFRXFypUrL2m71atX4+7uTqtWrYq0XxERKT6TrscSASB6wwau/eQTPIGjUVGEvPVWifVtyvdlxmdPPskNc+aQ0KgRuXv3ltg+ROTfObXIGjlyJF988QWQV2Bdf/31tGnThjp16rBs2bLL6mv27NmMHDmScePGER0dTefOnenVq9e/LmqcnJxM//79uVEz7YiIuEZWFrcDt9lsrs5ExOUMw2DJvfcSBaR6eFBrwQKnTQhTq2FDjgKhKSmkNG9O1vr1TtmPiJzPqUXWDz/8QMuWLQFYsGABBw4cYNeuXY5i6XK89957PPLIIzz66KM0bdqUDz74gDp16jB16tSLbvf444/Tr18/2rdvX+TXISIiReefm8uPwJwyvgC9SGn4v88/Z5B9PSzrK69AeLjT9nXvf/7DjmnT+NtkolpWFjkdOpD6yy9O25+InOXUIisxMZGwsLzVURYuXMg999xD48aNeeSRR9i2bdsl92OxWNi0aRPdu3cv0N69e3fWrFlT6HZfffUV+/btY/z48Ze0n+zsbFJSUgrcRESkeIKCggBw03BBqeQyMjI4PXo01YGE0FCqPPOM0/fZ69FHSf7pJ9aazQRYrXjdeiuxI0eCYTh93yKVmVOLrNDQUHbs2IHVauXXX3/lpptuAvLeZMxm8yX3k5iYiNVqJTQ09Lz+4+PjL7jNnj17eP7555k5cybu7pe25vLEiRMJCgpy3OrUqXPJOYqIiIhczNdjxzIgLQ2AoM8/h0v8fFJcHW+9Fb/Vq/nF1xdPoO6HH5KzYEGp7FuksnJqkTVo0CDuvfdeIiMjMZlMdOvWDYB169bRpEmTy+7v3IumDcO44IXUVquVfv368corr9C4ceNL7n/s2LEkJyc7bocPH77sHEVEpKDcnBwADJ3Jkkrs6NGj1J80CQ/yJrvwuvXWUt1/i3bt6HjkCJ+1bs3h7t3xuO22Ut2/SGXj1K9QXn75ZSIjIzl8+DD33HMPXl5eAJjNZp5//vlL7qdGjRqYzebzzlolJCScd3YLIDU1lY0bNxIdHc2wYcMAsNlsGIaBu7s7v//+O127dj1vOy8vL0eOIiJSMo4fP04t8t6HzcnJYB8+KFKZfDtwIM/YbOSaTNScOdMlOVSpWpXHNm8u0Dbvs89o/P33XPX995iqVXNJXiIVkdPPU999990FHp8+fZoBAwZcVh+enp5ERUWxePFi7rjjDkf74sWL6X2BdSUCAwPPu+ZrypQpLF26lB9++IGIiIjL2r+IiBRdZlYWDwENgZeaNCHzhRfwHT7c1WmJlJoNa9fS648/AEi87z7CrrzSxRnlOX78ONZhw2iWk8PJ8HByP/6Y0Mcec3VaIhWCU4cLvvnmm8yePdvx+N5776V69erUrl2brVu3XlZfo0eP5vPPP+fLL79k586djBo1itjYWIYMGQLkDfXr378/AG5ubkRGRha4hYSE4O3tTWRkJH5+fiX3IkVE5KIs6enUAkYCpvh4do8axe+LFrk4K5HSYRgGyx98kEgg1cuLsMmTXZ2SQ/Xq1bEMHsxuk4nqFguhjz/OnqgobMePuzo1kXLPqUXWp59+6pg8YvHixSxevJhFixbRs2dPnn766cvqq2/fvnzwwQdMmDCBVq1asWLFChYuXEi9evUAiIuL+9c1s0REpPR5BgXxXyAImNWiBZ2sVj4qQx80RZzp/z79lIH79wNgfeklqFrVxRmd5e7uTr/Jk3HbsoUZtWuTCzTavJmU2rWJe/ddzUAoUgwmw3Deb5CPjw///PMPderUYcSIEWRlZfHpp5/yzz//0K5dO06dOuWsXZeIlJQUgoKCSE5OJjAw0NXpiIiUS7H//MPiK6/EbDbT7/Rppnz+OUOHDsXDw8PVqYk4VeyhQ2xv2JBeubkkhIYScuRIqc0oeLlsNhs/jB1L03feobl94fDUN98k4NlnXZyZSNlxObWBU89kVa1a1TFDX/4p3A3DwKpFKUVEKgXDy4tHgSc8PPD092fkyJF5Bdbs2fDaa65OT8QprFYrc268kV65uVhMJqr+8kuZLbAg71KLe998k8Bdu5jesCGJgYEE2C/JEJHL59Qi684776Rfv35069aNkydP0qtXLwBiYmJo2LChM3ctIiJlhC0jg05Ae6sVx+CJ6Gi47z74z3849t13Ls1PxBk+HzOGJ/ftAyDlhRfwiIpycUaXpl6jRjz0zz8EHjkC9m/qd+/axbIGDTjholkRRcojpxZZ77//PsOGDeOqq65i8eLF+Pv7A3nXTz355JPO3LWIiJQRRlISq4A/c3Kw2Ych0bo1i6+6iv8Cfd5+m9zcXFemKFKi4uLiqPPxx/gARyMjqTFhgqtTuiwmkwnPgADH43n33kuX/fsJfvBB9oaHc/KHH1yYnUj54NRrsso7XZMlIlJ8SevW4XHttQD4pqVhts/wejg2lquvuYbXXnuNRx991JUpipSod++6izFz55ILmHftwlRGpmwvqi0rVvDP/fdz+7FjnFlNdHejRtT8+msCOnRwaW4ipelyaoNSKbJ27NhBbGwsFoulQPvtt9/u7F0Xi4osEZESsHMnXHVV3v2sLMi36HtKSkre+6thwJdfQr9+4OPjokRFim/Htm0kt2xJe8Mg7uabCf/lF1enVGLW/t//cXToUHofP86ZaWti69albnQ0aCFjqQQupzZw6hWY+/fv54477mDbtm2YTCbHWHyTyQSgyS9ERCoBq7c3ZsDw8MDk6VngOccfqccfh2nTOLlgAdXnzy/1HEVKQlZWFku7dWOYYZBhNhP+ySeuTqlEtb/rLow77+T3SZNg3DhuTE3NO7Nln5Y+JycHU1YW7vmGGopUVk69JmvEiBFERERw/PhxfH192b59OytWrKBt27YsW7bMmbsWEZEy4uixYwBYcnLA/iXbuU736EGWmxuv/fYb+/buLc30RErMZ088wRD7Qr6W994D+1qhFYnJZKLH8OF0T04m5scf8Zk50/F7/f1nn5FSpQq7unbFlpjo4kxFXMupRdbatWuZMGECwcHBuLm54ebmRqdOnZg4cSJPPfWUM3ctIiJlRHpGBkOAYUBhI9T9br+du6Oi+Nrbm0NaWF7KoYyMDKrNnIk7cLRdO6oMH+7qlJzKZDLR9vbbCezUydF2ZOpUqtlsNPnzT7JDQtjSqBG7J0zAlpLiwkxFXMOpRZbVanXMKFijRg2O2b/NrFevHrt373bmrkVEpIzITk3FE/ABKGSYuIeHB5/Om8fmzZvp2rUrWCyQmlqaaYoUy08zZnBHTg4A4W+/XehZ24psxMaNzHr8cf52c8PHMGi5dy9Xjh+PJSiIv1u0wDhwwNUpipQapxZZkZGRbN26FYB27drx1ltvsXr1aiZMmMAVV1zhzF2LiEgZ4R0QwEfARwBnpnC/gFq1ahEREQGHD8P112N76KGLxouUFYZhcOyVV/ADTgQH45bv7E5l4u3tzX2ffELDtDSWvfcePzVrxj6TCW/gyu3bMdkntTEMg9MHDuRNeCNSQTm1yHrxxRcda6K89tprHDp0iM6dO7Nw4UI++ugjZ+5aRETKCK+wMGYBP7i7Y3K7hD87x49j27SJ5J9/Zv2cOU7PT6S4fl+wgPvso3V8XnyxUp7Fys/bx4cuo0Zx+99/Uys9nV9fe40jY8dCWBgA27dvZ/8VV3DU15fo66/n1JIlKrikwin1dbKSkpKoWrWqY4bBskxTuIuIFN++ffto2LAh/v7+pF7iEMApN9zAh8uWUb19e1avXl0u/mZI5WQYBu82bszTe/dyyt+fqidPwjmzaEpBX7//PveNHo13vrYEd3eO1qxJbps2XPHYY1Tv1ctl+YkU5nJqA6eeybqQatWq6Y+liEglYsvMpC3QKjf3krcZ8PPPdBs6lAULFuhvhpRpcyZNYpB9RkzT00+rwLoEA0eNImH7dn4ZPJjfq1YlCwjJzaV1bCxXz5+P5c03HbEbV65k46OPcnDWLKyaQEPKEaecyXr44YcvKe7LL78s6V2XKJ3JEhEpvu2//UZkz55A4bMLXlRMDIwbB3PnFljIWMTV4uLiWF+vHr1zcogPDyfs0CHw8Pj3DaWAuH372DtnDil//EHg9u20nzYN91tvBeDte+7hmR9+cMQe9fAgoVo1MsPCoG5dWj77LH72a+Bys7Mxu7tjMptd8jqk4nP5YsRff/019erVo3Xr1kX7gyoiIhVGsIcHcWceWK1wOR+ArFa44w44eJAVI0ZwXQVb3FXKt5lPPMHTOTnkQt4i2iqwiiS8QQPCn38enn/+vOdq1qzJ2qAg6qekEG4Y1MrJodbx43D8OGzZQkbHjmAvst696y7G/PILySYTmWYzWWYzFnd3LB4e5Hp60vSDD/C7/34A5rz6KuFffVVwZ/nOmrd64w38+/YFYN577xE8ZUqBUCNfbPNx46gycCAAP3/2GUHvvFPoa71q1CiqP/EEAL99+y0+EyYUmkOTxx4jZNQoAP5csADzc88VGtvwoYeoaf/5rVq6FOuIEYXGNrjzTmq//DIA69evJ3Pw4EJjI26+mbpvvAHAli1bSHzkEdzzzxKbL7buDTcQ8e67AOzatYvYQYPwtM+4ea66HTpwhX1+hgMHDrBz4EB8MzMv2G/tqCganvPzLw+cUmQNGTKEWbNmsX//fh5++GEefPBBqlWr5oxdiYhIGRdcpQpFHvBnNnPottv49eOPmfTFF3zz2GO0adOmJNMTKRLDMPD74w8Ajt9wA7WuucbFGVVMD3z4IXz4IVarlYPR0RxbsoSMmBhsBw7ge/w4nfLN5Gg7fhx3oLphQG5u3i072/F8Vny84/7+tWu55yJTyqf+/TfYi6w9f/3FHfv2FRqbtGkT2Iusf9avZ/SePYXGnvjrL7AXWbs3beKpiyxpFL9qFdiLrJ3R0Ty5c2ehsXFLlzqK1F1//82jf/9daOyxgACwF1m7d+/mIftM4BeMNZnAXmTt3buXHps24V9YDunpYC+yDh48SJu//iKkkNjjCQlgL7KOHDlC0xUriCgkNvHgQVCRlWfKlCm8//77zJ07ly+//JKxY8dyyy238Mgjj9C9e3eNrxcRqUwCAgAwvL0vbXbBc9T98EMWHztGuypVaNasWUlnJ1IkW7dupXN6OgDB9g/Y4jxms5n6bdtSv23bQmOe+uMPDu3cSebRo2QnJZFz+jS5KSnkJidjTU2lU7dujthr+/VjWf4zj+csF9HuppvOxt59N8vs/9fAeTMhtrn55rPb3XYby44cKTS25W23Oe63vekmluUrcM4d/dW8Tx/H/ajOnVnWtWuh/Ta5807H/dbXXMOy668vNLZx795n99G8OcvyLzlwTmwD+1BvgCuvvJJ1nTphPnMm65zY+l26OO5HREQQ06nT2TNZ58TWbd/ecb9WrVrs6tSJQ1lZF4yt3aYNNSh/SmV2wUOHDvH1118zffp0cnJy2LFjh2OR4rJM12SJiBTfgaVLibjxRtIBvyL+ybFYLHh4eOhLOikz3r3vPsbMno0VMJ88CRqxI1LhlbnZBU0mEyaTCcMwHOtmiYhI5ZCans4Y4IVi9OFptWI6cADsU8Dv2rWrRHITKYrY2Fhaff89AMe7dVOBJSLncVqRlZ2dzXfffUe3bt248sor2bZtG5MmTSI2NrZcnMUSEZGSkZmczGkgA4q+4GiXLtCgAdbFixk8eDCRkZGsWbOmxHIUuRzfDxnCjYZBjslE+KefujodESmDnHJN1pNPPsmsWbOoW7cugwYNYtasWVSvXt0ZuxIRkTLO19+fL848KOpwv/Bw8PHBLSOD9PR0bDYbGzdupEOHDiWVpsgl2b1rF50XLQIg8a67CI8o7HJ9EanMnHJNlpubG3Xr1qV169YXHT8/d+7ckt51idI1WSIixbd30yZ2tG2Lp7s7PQuZzvdfZWfnLfJqMpGamsrmzZu5Pv+F3SKl5K1OnXh29Wqy3dzwOnoUwsJcnZKIlBKXr5PVv39/XZwsIiIAWP396Q1U8ffnVFE7ybcIcUBAgAoscYmYzZvptXo1AMkDBxKiAktECuG0xYhFREQAyM4mEvDPzS3xrk+ePMngwYOZMGECkZGRJd6/SH5/vPIKTwMZ7u6EXGTBWRERpxRZIiIiZ2Ts38/fgEdaWtE72bMH3nsPfH0di10CPP/888ybNw/DMJg3b17xkxUphMViodpvvwFwumtXfKtWdXFGIlKWqcgSERGnCvPwYB9QrAuAT52CTz6BunULFFmjR49m7969jB49urhpilzUH4sWcVt2NgChI0e6NhkRKfNUZImIiFOFVq2KG8UssurVg1dfhRo1CjQ3bdqUP//8szg9i1ySvz/4gJuBFB8fArt1c3U6IlLGlcpixCVlypQpRERE4O3tTVRUFCtXriw0du7cuXTr1o3g4GACAwNp3749v9lP84uISOlxq1IFAJOvb9E7CQ2FF1+EIUMuGrZv3z6y7WcbREpKRkYGtVetyrt/yy3gru+oReTiyk2RNXv2bEaOHMm4ceOIjo6mc+fO9OrVi9jY2AvGr1ixgm7durFw4UI2bdrEDTfcwG233UZ0dHQpZy4iUrnts79Pp2RmOnU/8+fPp3Xr1owZM8ap+5HKZ9Hcudxmn7hFQwVF5FI4ZZ0sZ2jXrh1t2rRh6tSpjramTZvSp08fJk6ceEl9NGvWjL59+/LSSy9dUrzWyRIRKb7oH35g7j33YAXeKOqfHMOAkychPR1q1waz+byQRYsWcfPNN9OqVStWr16Nb3HOnInk81arVjy7ZQungoKoeupU0RfVFpFy7XJqg3JxJstisbBp0ya6d+9eoL179+6sWbPmkvqw2WykpqZSrVq1QmOys7NJSUkpcBMRkeLJOH2aPcCFxx1chvBwqF8f4uMv+HSvXr1Yu3YtmzZtUoElJWbb1q1037IFANvAgSqwROSSlIsiKzExEavVSmhoaIH20NBQ4gv5Y3uud999l/T0dO69995CYyZOnEhQUJDjVqdOnWLlLSIi4OvtzSzg6+J0YjKBvz94e0NGRqFh1157LW5ueX/aDMPAYrEUZ68iLBoxglZAltlM9UscCSMiUi6KrDNM53x7ZBjGeW0X8t133/Hyyy8ze/ZsQkJCCo0bO3YsycnJjtvhw4eLnbOISGXnGxHBEmCVh0fxOkpMhMxMaNToksLHjx9Pz549NRGGFNmBAwe4dtkyAJLvuw8uMhpGRCS/cjE9To0aNTCbzeedtUpISDjv7Na5Zs+ezSOPPMKcOXO46aabLhrr5eWFl5dXsfMVEZGzrFWrchNQPTCQxOJ0dIHrsAoTFxfHhx9+SEpKCvPmzeO+++4rzp6lkpr/8suMAnJMJkLffNPV6YhIOVIuzmR5enoSFRXF4sWLC7QvXryYDh06FLrdd999x8CBA/n222+55ZZbnJ2miIhciMVCQyDCZiu1XYaHhzN79mw+//xzFVhSdL//DkBCVBTUquXiZESkPCkXZ7IARo8ezUMPPUTbtm1p3749n332GbGxsQyxr5kyduxYjh49yvTp04G8Aqt///58+OGHXHvttY6zYD4+PgQFBbnsdYiIVDYpO3awH/A5dap4HU2dClu2wKBB0K7dv4b37NmzwONLHWIuAnDixAma2j87BN1xh4uzEZHyplycyQLo27cvH3zwARMmTKBVq1asWLGChQsXUq9ePSBvaEj+NbM+/fRTcnNzGTp0KOHh4Y7biBEjXPUSREQqpZqensQAq4rb0c8/w6efwo4dl71pRkYGvXr14p9//iluFlJJLP/jDzrb7/vffrtLcxGR8qfcrJPlClonS0Sk+KxLlmC+6SYMwFScPzkzZsD+/XDbbdC69WVt+sILLzBx4kQiIyOJiYnBfBnXd0nl9E7v3jz900+k+vgQkJ6uqdtF5LJqg3IzXFBERMonc40aAJj8/YvX0YMPFnnTESNGsHbtWl566SUVWPKvsrKyqGa/Djzl6qsJUIElIpdJRZaIiDjV3thYGgKnMjKo6qIcQkND+fPPP120dylv5kydyn2ZmQCEvviii7MRkfKo3FyTJSIi5dPplBT+C0wu7uyCublw6hScPl3snPbv388LL7yArRRnPJTywWazceqNN/AFjteujfu/LP8iInIhKrJERMSpUpOSWANEF7ejN9/MWwz26aeL1U1WVhZdu3Zl4sSJvPbaa8XNSiqYX+fPp29i3opuAa+8omuxRKRIVGSJiIhT+Xt68hPwbbE7sl/TZR/GVVTe3t688cYbREZG8thjjxU3K6lgtr/wAqHAqcBAfB96yNXpiEg5pSJLREScyq9RI/4CNnt4FK+jJ56A7GyYObPYOfXr14/NmzcTFhbmaNNku7J37146794NgGnYMCjuMSsilZaKLBERcarcGjVoD9xRrVrxOvL0zLsBXHFF3v3Nm88+P2NGXtuttxbcrnlz8PKCVflW6po3D4+AALjxRgD++OMPbr75ZnKvvhq8veH338/G/v47+PhAhw4F+73xxrz2+fPPtq1aBb6+0KpVwdjevfPav813Pi86Gvz84MorC8b27w/vv/+vPw4peQvffZdrAavJRJWnnnJ1OiJSjqnIEhER58rJIRwIKclJJnJy8m752Wx5bbm558daLJD/TJXNlndWLCeHrKws+vfvz6+//krC4cN57flztdkgKyuvPT+LJa/93NjMzLz2/LKz89qt1oKxGRkFhz9u3Ajr15fI2Tq5PDabDQ/7zz2+TRsIDXVxRiJSnmkKdxERcaqULVtIBThxouQ63bAhr2AJDj7bdtdd0LVr3lmr/JYtyyu88sf26gWxseDlhbe3NwsWLOCdd96h+n//C25uYF/bC4Drr4dDh84fOjZnTl7xlL/fa66BgwfB/Zw/r998k1dM5e83MhIOHID863aZTHnbtmhxOT8NKQHR0dF0SU0FIHjUKBdnIyLlncnQIPRCXc6qziIicmEHZs7k+IMPkgN0Lkd/cpKTkwkKCnJ1GlJKPhk/niETJmAD3JKSoKqrVnUTkbLqcmoDDRcUERGnql21KtcCHV2dyGWYPHkyTZs2ZePGja5ORUpJyk8/AXCiVi0VWCJSbCqyRETEqTzsw+ncysmIAIvFwrRp04iLi2PTpk2uTkdKQW5uLsHbt+c96NLFpbmISMWgIktERJxq79GjACRlZLg4k0vj6enJn3/+ycSJE12zjlaXLnDVVRAXV/r7rqT+/P13etonUqlxzz0uzkZEKgIVWSIi4lRJycl8DHydf2a9Mq5q1ao8//zzmEwmAHJychg2bBhH7QWjU23fDjt3QlKS8/clAES//DLhQIqvL+ZevVydjohUACqyRETEqU4lJDAfWFqOJr041yuvvMLkyZO56667nL9o8YwZsHQp1Kvn3P0IAEeOHCFqwwYAsh988OxabCIixaAp3EVExKkCPTxYApSPwYIX9vDDDzNnzhxGjx7tOLvlND16OLd/KWDem28yHLABwS+84Op0RKSCUJElIiJOFdCkCVuBXA8P2rg6mSK64oor2LJlC1751uBasWIFsbGxPPDAA84vvMRpbLNnAxDXqhW1dPZQREqIiiwREXEqS0gIUUCtkBCOuDqZYvD29nbcz87O5rHHHmP37t0kJiYycuTIktvRjh2wdy80bgxNmpRcv3KetLQ06tgXyQ7s08e1yYhIhaJrskRExLmsVgKBgHJ8Tda5TCYTAwYMICIigoEDB5Zs5++/D717ww8/lGy/cp6YmBii7PcDNHW7iJQgFVkiIuJUp9avxwewHjvm6lRKjKenJ2PHjmXXrl1UqVLF0T548GAmTpxIenp60Ttv3BiuuQZCQoqfqFzUjhUrcAwQbNXKhZmISEWj4YIiIuJUdT09+RawuDoRJ/DMNxPdli1b+PzzzzGZTHTu3JlOnToVrdNnnsm7idMlL10KwMlq1ageFOTibESkIlGRJSIiTlW3alUaAdYKPjlEZGQk//vf/4iPjy9QYM2aNYuWLVvStGlTF2Yn58rKyiJ05UoAsq+5xsXZiEhFoyJLREScyis8HABzBT9TYDabefDBBwu0paSk8Mgjj5CRkUFMTAwtW7Z0UXZyrgWzZnGHJe/8athzz7k4GxGpaHRNloiIONUe+7VYiRnleaWsojl16hTdunWjefPmtGjRwtH+xRdfMHv27Atfu7VhA3ToAPfcU4qZVj4H332XAOBk1aq4XX+9q9MRkQpGZ7JERMSpTpw6xQogOyeHJ12dTCmrV68e8+fPJycnp8BaWhMnTmTfvn0sWrSInj17ApCamoqbmxt+hgFr10JoKBgGVPBhlq5w+PBh2v79NwCmgQP1MxaREqczWSIi4lSJCQlMA/6vAk3hfrk8PDwc93Nzc7n33ntp1KgRHTt2dLR/9dVXVK1aledmzIDPPoNly1yQaeXwy2efcQNgA6qV5BpnIiJ2KrJERMSpqhgGfwHzXJ1IGeHu7s4bb7zBP//8Q0BAgKN969at5OTkUCU8HAYPhiZNyMrO5n/h4WyqU4ccFV0lJnVe3tGYUK8e1K3r4mykItm1cSNLBw9m5xNPFGj/oksX1taqxckPPnC0/fLjj2wNDORA7dqQkuJon9K2LdsCAogfM8bRtnjxYmICAzkQFgYJCY72ye3bs93fn6ODBzvali9fzsaAAA7UqAGHDp2Nvf56dvr6cvj++x1t69atY21AAAerVIGdOx3tH990E3u8vYm95RZH25YtW1geEMAhf3/YvPls7K23ss/Li0P5ht3u3r2bP/z9ifXxgVWrHO2T7r6bg56exEZFOdoOHTrEL/7+HPbygt9/P9vvgw9y2MODw+V00qByVWRNmTKFiIgIvL29iYqKYqV9VqDCLF++nKioKLy9vbniiiv45JNPSilTERE5o0rz5uwDYvNNdy7nmzZtGnv37mXQoEGOts2bN3NNfDxRR47gkZ3taH/3lluI9/DgYL5ZDDMzM9n4ySfsmz0b0tJKNffyJDMzkzr2D5Pu9qGaIpcrNzeXWf3780fduiR//LGjfenPP9P1889p+sknkJXlaM/csIH2x45hi452tB0/fpwWqalEHD0KVquj3bJvH83T0uDgQUfbyZMnuSo1lYjjx8FydkGMzIMHaZaejlu+Yio5OZkGaWlEnDwJ+d43MmJjaZqZiTk21tGWlpZGnbQ06icnF8g3/ehRGmVn455vfcPMzEzC09Kol54O+a6xTYuLo4HFgmd8vKMtOzub6unp1M3KKhibkED9nBy8Tpwo8LMMSk+njsUC+a5TTU9Kok5uLj5JSef9/MuDcnNN1uzZsxk5ciRTpkyhY8eOfPrpp/Tq1YsdO3ZQ9wLfQh04cICbb76ZwYMHM2PGDFavXs2TTz5JcHAwd911lwtegYhI5ZRVsyYtgXrh4Rx0dTJlmMlkokGDBgXamjRpwvZXXiFlzx6uzvfNb+6ePYTl5hKXr5jauXMnXk88QQOApUvhhhsA+LhPH3r8/jseN9xAxC+/AJCQkMCmJ5+kqocH1771FtSpk9fHypXkbt1KeLNm1OjSBYCcnBwStm7F28uL6o0bQzkvlpcvWUJXmw2A6vm+0RcpTOy+fez6738JP3aM5j/+CO7uuLu7kzBvHvelpXF82TKChg8HoOl117EhOBj/WrVompMD3t4ARIwcycr9+2net6+j36433cRfzz5L1apVudLPz9F+9TvvsG7fPprk+xKgc+fORP/nPwQFBNCkevWz7e++y4Z//qFhvrNI7dq1Y89rr+Hv7c1VtWo52m98/302bt/OFe3bO9patWrF/nfeIcXdnavyvf/c/MEHbN66lbqtWzvamjZtyt7Jk9luGDRr3tzR3uf999myZQu1rrrK0dagQQP++eILtufk0Ozqqx3td73zDtuiownLt69atWqRNmMG27OyaJbvdfSdOJHt99xDsP39qbwxGUb5GCTfrl072rRpw9SpUx1tTZs2pU+fPkycOPG8+Oeee46ffvqJnflOfQ4ZMoQtW7awdu3aS9pnSkoKQUFBJCcnExgYWPwXUQzpCQkk7NxJts2Gn68v3p6eeAGWjAzSrVZyzGa8q1UDmw1TRgbpx49j8/M7LzbDZsPi5lYgNuPECaze3vj6+uLt5YW3yUROejrpVmtebPXqYBiY0tMLjc2w2cgCfGrUAMCUlkZmYiK5np74+Pri7e2Nj5sbuenpZFitZJ4be/IkuR4e+Pj64uXlha/ZTG5GBpm5uaTbbPiGhOTFpqeTdfJk3uv188P7nNgMw8AnOPhsbFISOW5ueNnz9fPwwJqRQYbFQrph4BscDCbTv8ZmnMnXZMKUkUHWqVPkGAae9lh/Ly9sGRmkZ2WRYTLhU706uLnlxZ4+TY7Ndn5sZiYZbm54V62Kyd0dU2ZmXmxuLh722AAfH4yMDNIyMsg0m/GqUuW8WHcfH3y8vfH38cGUmUlqWhqZ7u54Bgbi5ukJWVlYTp8mx2LB7Ot7XmyWuzse+WJzkpOxZGc7Yv18fHDLzCQtPZ1MNzfcAwIwe3tDdnZebFbWBWOz3Nxw8/fH3ccHLBZyT58mOzMTN19ffH188PXxwZyZSbo91uTnh7uvb15scjLZGRmOWB9vb9yzssjIyCATwM8PDz8/sFiwpqSQlZaGydcXP3se7tnZZKSnk2UyYfj6no1NTSUrJQV8ffH388PHywt3i4XMjAwyDQObry+e/v6Qk4MtNZXM5OQLxwI2H5+82NxcjLQ0Mk6dwvDxIcDfH29PTzxyc8nKyCADsHp64hUYmBebnk5GUtKFYw0Dq4cHXlWq5H2rmZ5ORmIiNnsO3p6eeNpsZNtjc93dz8baf5dt9p9DWXqP2LxhA30fewz/2rWJvsT3X7m4Y//8Q+K6ddSrV4+g664DYPVffxH80EPUtdnwXbgQ25VXAjCpSxde2LePI02bEmgfirMpOpqw22+nKZD+/fdY7R+6Pr71VsZt2cKx+vXxt48W2bl7N+433UQUkDF9Orn24m3Sfffx9OrVJNSvT6A99tDhwxy+6Saa5eZS4+uvsXbuDMA3Y8bQ48cfcW/cmBoLFwIQFx/P3z160DQ7m3pffIHVfn3ajHHjuG7OHHwaNiTYHpt06hRrb7iBFhkZREydSu6NNwIw87XXuH76dLzr1KHGkiVA3rftizp04Jr0dGq9+SamO+4A4ItnnuGOefPY6+XFTSkppPr44JuURHpSEibDICA0FNzzvnvOSE4mNzUVbz8/PKtWBcBqtZKekABWK4GhoWC/zi4zNZWc5GS8fHzwsn/4tdlspMbHQ24uQWFhjsI0MzUVy6lTePn44G3/W2Wz2Ug5dgyTvV+T/UN5RmoqlsREPL288K1ZEwDDMDh95Agme78mHx9HbHZCAp6envjl+0B68tAhTBYLVWrWxM3+IT4zPZ3MY8fw9PTEv169ArFkZVElPByz/TNPZno66bGxeHl5ERAR4Zgg5OShQxgZGVQJD8e9SpW82IwM0g4cwNPTk6AGDcAtb7BU4qFDGKmpBIWF4Wn/u5+VlUXq3r24u7tTtVEjMJsdsbbkZIJCQ/EKDXXEJu/ejbvZTPUmTRz/R4mHDmE9dYqg0FC87ctEZGdnc2rXLtxNJmo0aeL4uSfGxpKbmEhgcDC+9p9PVlYWx9auxS0jg/o33AC+vgAsevNNzAsWcFWPHtT+z38A+L/vv6db374EAmzZAvaZQmc99RQRO3fS6KmnqHbbbUjFd1m1gVEOZGdnG2az2Zg7d26B9qeeesq47rrrLrhN586djaeeeqpA29y5cw13d3fDYrFccJusrCwjOTnZcTt8+LABGMnJySXzQophc1CQsQgMwEjMm2/KcRsFxi325+rY2zLsj2PPiX0RjB7256rlazeBsfOc2DfA6GqP9c7X7g/GxnNiPwSjsz0WMKz29hAwVpwT+zkY1+SLTbG3R4Cx6JzYb8FomS823t4eCcYP58T+CEbjfLH77O3XgDH9nNg/wKgNhrs9dqu9/QYwpp4Tu8b+swqyx/5lb78VjHfOid0ChhcYNe2xS+zt94Ix4ZzYvfaYBvZ/f7K3DwLjuXNij9ljIu3/zrK3D7Pf8scm22Pa2v/9wt7+LBgPnxOba4/pYP/3I3v7K2D0PSfWAMPT/jMCjP/a296x/yzOja0KRnd77H/sbVPIO6bOja0NRi977Gh72zdgtLtAbGMwbrPHDrG3/WD/2Zwb2xqM3vbYh+xtC8G44gKxncDoY4+90962HIzQC8R2B+MOe2xPe9tG8n43zo29I19sZ3vbDjDcLhD7YL5829jbDtkfZ54T+xgYt9ufa2JvS6Rsv0e04fzXrJvzb9vAWAtGQr623WD8Asamc2I/Iu+981C+thj7/6f1nNiJ9n+Pn9Pv2gvkcOb9In8O+8n7HTs39k37v/mP4+Pk/e6eG/uW/d9T+drSOPv3ITtf+wfn5BB3333G5s2bHe//xh9/OP7mvtG+fV5M/fqOtt27d599bT/95Gj/b7duef2GhTnaDh8+bPxxJva77xztb95xh2GAcbJqVUdbUlKS4/0/99NPHe1v9+9vGGCk+Po62rKzs43v7LEZb77paH9/2DDDACPTw6PAZ4cvTCbDACN57FhH26QXXzQMMKwmU4HYTzw88nJ78smzbW+/ffbnnZnpaP/Yzy/v/+WhhxxtX33++dnYxERH+3tVq+b9LHv3drTNnj377HtabKyj/Z3wcMMA49iNNzraFixYcPZY2Lnz7M8yIsIwwDh67bWOtqVLl559T9u40dE+8aqr8mJbtHC0rV692thzJnbVqrOxkZF5OTRp4mg7cuSI8VPt2saGtm0N265dhlReycnJxqXWBuXimqzExESsViuh9m81zggNDSU+3/jP/OLj4y8Yn5ubS2Ji4gW3mThxIkFBQY5bnXJ6elJEpCxq/u8h4gSRwLVAcL62xsDNQJtzYocDVwD5B+G3BKKAcyc5fxw4Cvjma6sDeAPbz4ntDWwCcvO1hQJmYOM5sbcAG4CsfG1BQKC9Pb/b7G2p+dq8gDB7uzlfew9gsf1+irs7oePHI8VjMowib2uQN7sj+fswmbDa/83PBlgpyOTmlnc8uZ39KGsymcil4HF2JjYHMPLF+vj4cNps5pTZXCC2fu/erL3qKjLzTfhQq1Ytbjt8mLYbNmCynyEW+TflYrjgsWPHqFWrFmvWrKF9vnGkr7/+Ov/73//YtWvXeds0btyYQYMGMXbsWEfb6tWr6dSpE3FxcYSFhZ23TXZ2Ntn5LhBMSUmhTp06ZWK4oCUtjZQjR8g1mfDy9MTd3R0PwyDXYsFis2E1m/OGRBkGZGfnDYny8jobC+RmZ5NjGOQAngEBBWM9PfH09MTDw+NsrM1GjslUaKy7uzueJhNWiwWL1Xo2FiAri+zUVAwPj7Oxbm5Y7f1m22x4BQUVjHV3x8OegyPWaiXbMArGpqVhmM142Pv1MpuxWSxYcnMLxmZnY0lLw+bmdjbW3R1bdvbZ2MDAvDfzM7EmE+72HByxOTlkQ8HY9HRsgLu9X28PDwyLhWyLpWCsxUJOejpWwzgb6+mJkZ1NtsWCxWTCw88Pk9l8NtZmw2zP4aKxGRlYrVZHrJeHB6acHLKyswvG5uSQm5FBbm7u2VhPT0wWC1nZ2eS4uWH29sbNw+NsbE4Obvb/5wKxJhNmH59CYz09PHDLySHbnoMjNjcXa0YGORbL2VhPT9wsFrLtOZg8PTF7eZ2Nzc7G5OmJl5dXwViTCZOX19nYzExysrIcsR4eHphzcrBYLFjgbKzVii0zE0tmZsHY3Fws9n4Nd/e84Y35YvH0xPvcWMDw8Dgbm5WFJSPDEevu7o671UqOxYLFMM7G2mwYWVlkp6cXjLXZyLH3a3Vzy/tdPhOblub4Xfbw8Dgbaxhnf+9ttrzjJDW14O99GXqPyLHZHMOjRFzNy98fk7s7NpuNnPR0MAy8/P0dH9hzsrKwWSy4e3hgtg/JOxNr2Gx4+/s7hrjlZGdjy87G7O6eN+QZMAwDS1paXr9+fo7YXIsFm8WC2Wx29GsYBrlZWWAYuHt55b1vA9bcXGwWC2729+gzsVaLBQwDs4eHI9ZmtWJYrZhMprz3XDtrTg4YBm5msyPWsNkw7NekubmfvTTfZt8e8oqSM7FnmEwmrScmld7lDBcsFxNf1KhRA7PZfN5Zq4SEhPPOVp0RFhZ2wXh3d3eq57tgMD8vLy+8vLxKJukS5unvnze+uIzy+/cQp/P99xCnx/qUgVhvxSpWRC6Jm5sbXvmm0T/Dw9vbMWHBv8Z6ecE5nx1MJtMFY909Pc+bOMRkMuHhc/67vNndHbO7+3mx7hf4nOJmNjsKuQJ95Cu4HH24uTmKqPP6uECsiBRNufjt8fT0JCoqisWLFxdoX7x4MR06dLjgNu3btz8v/vfff6dt27YFFoUUEREREREpSeWiyAIYPXo0n3/+OV9++SU7d+5k1KhRxMbGMmTIEADGjh1L//79HfFDhgzh0KFDjB49mp07d/Lll1/yxRdf8PTTT7vqJYiIiIiISCVQLoYLAvTt25eTJ08yYcIE4uLiiIyMZOHChdSzTz8aFxdHbL7F1SIiIli4cCGjRo1i8uTJ1KxZk48++khrZImIiIiIiFOVi4kvXKUsrZMlIiIiIiKuczm1QbkZLigiIiIiIlIelJvhgq5w5iRfSkqKizMRERERERFXOlMTXMpAQBVZF5Gamre8oRYlFhERERERyKsRgs6sy1oIXZN1ETabjWPHjhEQEOBYoM9VziyMfPjwYV0fJpdMx40UlY4dKQodN1IUOm6kKFxx3BiGQWpqKjVr1sTtX9aR05msi3Bzc6N27dquTqOAwMBAvQHJZdNxI0WlY0eKQseNFIWOGymK0j5u/u0M1hma+EJERERERKQEqcgSEREREREpQSqyygkvLy/Gjx+Pl5eXq1ORckTHjRSVjh0pCh03UhQ6bqQoyvpxo4kvRERERERESpDOZImIiIiIiJQgFVkiIiIiIiIlSEWWiIiIiIhICVKRJSIiIiIiUoJUZImIiIiIiJQgFVnlxJQpU4iIiMDb25uoqChWrlzp6pTERV5++WVMJlOBW1hYmON5wzB4+eWXqVmzJj4+PnTp0oXt27cX6CM7O5vhw4dTo0YN/Pz8uP322zly5EhpvxRxohUrVnDbbbdRs2ZNTCYT8+fPL/B8SR0np06d4qGHHiIoKIigoCAeeughTp8+7eRXJ870b8fOwIEDz3sPuvbaawvE6NipXCZOnMjVV19NQEAAISEh9OnTh927dxeI0XuOnOtSjpvy/H6jIqscmD17NiNHjmTcuHFER0fTuXNnevXqRWxsrKtTExdp1qwZcXFxjtu2bdscz7311lu89957TJo0iQ0bNhAWFka3bt1ITU11xIwcOZJ58+Yxa9YsVq1aRVpaGrfeeitWq9UVL0ecID09nZYtWzJp0qQLPl9Sx0m/fv2IiYnh119/5ddffyUmJoaHHnrI6a9PnOffjh2Anj17FngPWrhwYYHndexULsuXL2fo0KH89ddfLF68mNzcXLp37056erojRu85cq5LOW6gHL/fGFLmXXPNNcaQIUMKtDVp0sR4/vnnXZSRuNL48eONli1bXvA5m81mhIWFGf/9738dbVlZWUZQUJDxySefGIZhGKdPnzY8PDyMWbNmOWKOHj1quLm5Gb/++qtTcxfXAIx58+Y5HpfUcbJjxw4DMP766y9HzNq1aw3A2LVrl5NflZSGc48dwzCMAQMGGL179y50Gx07kpCQYADG8uXLDcPQe45cmnOPG8Mo3+83OpNVxlksFjZt2kT37t0LtHfv3p01a9a4KCtxtT179lCzZk0iIiK477772L9/PwAHDhwgPj6+wPHi5eXF9ddf7zheNm3aRE5OToGYmjVrEhkZqWOqkiip42Tt2rUEBQXRrl07R8y1115LUFCQjqUKbtmyZYSEhNC4cWMGDx5MQkKC4zkdO5KcnAxAtWrVAL3nyKU597g5o7y+36jIKuMSExOxWq2EhoYWaA8NDSU+Pt5FWYkrtWvXjunTp/Pbb78xbdo04uPj6dChAydPnnQcExc7XuLj4/H09KRq1aqFxkjFVlLHSXx8PCEhIef1HxISomOpAuvVqxczZ85k6dKlvPvuu2zYsIGuXbuSnZ0N6Nip7AzDYPTo0XTq1InIyEhA7zny7y503ED5fr9xd1rPUqJMJlOBx4ZhnNcmlUOvXr0c95s3b0779u1p0KAB33zzjeNi0KIcLzqmKp+SOE4uFK9jqWLr27ev435kZCRt27alXr16/PLLL9x5552Fbqdjp3IYNmwYW7duZdWqVec9p/ccKUxhx015fr/RmawyrkaNGpjN5vMq7YSEhPO+EZLKyc/Pj+bNm7Nnzx7HLIMXO17CwsKwWCycOnWq0Bip2ErqOAkLC+P48ePn9X/ixAkdS5VIeHg49erVY8+ePYCOncps+PDh/PTTT/z555/Url3b0a73HLmYwo6bCylP7zcqsso4T09PoqKiWLx4cYH2xYsX06FDBxdlJWVJdnY2O3fuJDw8nIiICMLCwgocLxaLheXLlzuOl6ioKDw8PArExMXF8ffff+uYqiRK6jhp3749ycnJrF+/3hGzbt06kpOTdSxVIidPnuTw4cOEh4cDOnYqI8MwGDZsGHPnzmXp0qVEREQUeF7vOXIh/3bcXEi5er9x2pQaUmJmzZpleHh4GF988YWxY8cOY+TIkYafn59x8OBBV6cmLjBmzBhj2bJlxv79+42//vrLuPXWW42AgADH8fDf//7XCAoKMubOnWts27bNuP/++43w8HAjJSXF0ceQIUOM2rVrG3/88YexefNmo2vXrkbLli2N3NxcV70sKWGpqalGdHS0ER0dbQDGe++9Z0RHRxuHDh0yDKPkjpOePXsaLVq0MNauXWusXbvWaN68uXHrrbeW+uuVknOxYyc1NdUYM2aMsWbNGuPAgQPGn3/+abRv396oVauWjp1K7IknnjCCgoKMZcuWGXFxcY5bRkaGI0bvOXKufztuyvv7jYqscmLy5MlGvXr1DE9PT6NNmzYFpreUyqVv375GeHi44eHhYdSsWdO48847je3btzuet9lsxvjx442wsDDDy8vLuO6664xt27YV6CMzM9MYNmyYUa1aNcPHx8e49dZbjdjY2NJ+KeJEf/75pwGcdxswYIBhGCV3nJw8edJ44IEHjICAACMgIMB44IEHjFOnTpXSqxRnuNixk5GRYXTv3t0IDg42PDw8jLp16xoDBgw477jQsVO5XOh4AYyvvvrKEaP3HDnXvx035f39xmR/kSIiIiIiIlICdE2WiIiIiIhICVKRJSIiIiIiUoJUZImIiIiIiJQgFVkiIiIiIiIlSEWWiIiIiIhICVKRJSIiIiIiUoJUZImIiIiIiJQgFVkiIiIiIiIlSEWWiIiIiIhICVKRJSIiUkQnT54kJCSEgwcPOnU/d999N++9955T9yEiIiVHRZaIiFQIAwcOxGQyYTKZcHd3p27dujzxxBOcOnXKafucOHEit912G/Xr13faPgBeeuklXn/9dVJSUpy6HxERKRkqskREpFyxWCyFPtezZ0/i4uI4ePAgn3/+OQsWLODJJ590Sh6ZmZl88cUXPProo07pP78WLVpQv359Zs6c6fR9iYhI8anIEhGRMq1Lly4MGzaM0aNHU6NGDbp161ZorJeXF2FhYdSuXZvu3bvTt29ffv/9d6fktWjRItzd3Wnfvn2BdpvNxptvvknDhg3x8vKibt26vP76647XMnz4cEaOHEnVqlUJDQ3ls88+Iz09nUGDBhEQEECDBg1YtGjRefu7/fbb+e6775zyWkREpGSpyBIRkTLvm2++wd3dndWrV/Ppp59e0jb79+/n119/xcPDwyk5rVixgrZt257XPnbsWN58803+85//sGPHDr799ltCQ0Mdz3/zzTfUqFGD9evXM3z4cJ544gnuueceOnTowObNm+nRowcPPfQQGRkZBfq95pprWL9+PdnZ2U55PSIiUnJMhmEYrk5CRESkMF26dCE5OZno6OiLxg0cOJAZM2bg7e2N1WolKysLgPfee49Ro0Y54kwmE+PGjeO1114D4OmnnyYyMpKBAwcyYcIEvv/+e0wmE15eXsyZM4eIiIgL7q9Pnz5Ur16dL774wtGWmppKcHAwkyZNuuAwwi5dumC1Wlm5ciUAVquVoKAg7rzzTqZPnw5AfHw84eHhrF27lmuvvdax7datW2nZsiUHDx6kXr16l/KjExERF9GZLBERKfPynzGaOXMm/v7+jtuZggXghhtuICYmhnXr1jF8+HB69OjB8OHDC/Tl7+/PzJkzz5tEYs2aNSxbtoyYmBi2bdvG/PnzqVKlSqE5ZWZm4u3tXaBt586dZGdnc+ONNxa6XYsWLRz3zWYz1atXp3nz5o62M2e9EhISCmzn4+MDcN4ZLhERKXtUZImISJnn5+fnuH/77bcTExPjuOUvwPz8/GjYsCEtWrTgo48+Ijs7m1deeaVAX15eXjzwwANMnTq1QHt8fDxVq1bF3d0dgNq1a1O1atVCc6pRo8Z5MxeeKYQu5tzhiyaTqUCbyWQC8q7tyi8pKQmA4ODgf92HiIi4loosEREpVwICAmjYsKHjdrHCZvz48bzzzjscO3asQPuIESP47LPPHEMKAbp168Y///xD06ZNGTFiBBs2bLhoHq1bt2bHjh0F2ho1aoSPjw9Lliwpwiu7uL///pvatWtTo0aNEu9bRERKloosERGpsLp06UKzZs144403CrQHBwdz66238uWXXzraAgICiI6O5qOPPsLb25tu3bpddGbCHj16sH379gJns7y9vXnuued49tlnmT59Ovv27eOvv/4qcN1WUa1cuZLu3bsXux8REXE+FVkiIlKhjR49mmnTpnH48OEC7U8//TQffvghubm5jjZ3d3e6devGm2++ybhx4/jpp58K7bd58+a0bduW77//vkD7f/7zH8aMGcNLL71E06ZN6du373nXV12urKws5s2bx+DBg4vVj4iIlA7NLigiIpVKjRo1SExMBODhhx9m8eLFvPrqq7Rv3x53d3caNGiAYRgMGjSIZs2a8cwzzxTa18KFC3n66af5+++/cXNz3veWkydP5scff3Taml8iIlKydCZLREQqreeee85xvVZaWhoPPvggzZo1IzIyEpvNxrBhwy66/c0338zjjz/O0aNHnZqnh4cHH3/8sVP3ISIiJUdnskREREREREqQzmSJiIiIiIiUIBVZIiIiIiIiJUhFloiIiIiISAlSkSUiIiIiIlKCVGSJiIiIiIiUIBVZIiIiIiIiJUhFloiIiIiISAlSkSUiIiIiIlKCVGSJiIiIiIiUIBVZIiIiIiIiJUhFloiIiIiISAn6f2WDC9TKsqYFAAAAAElFTkSuQmCC", + "image/png": 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", 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" ] @@ -48,20 +63,14 @@ } ], "source": [ - "import numpy as np\n", - "import matplotlib as mpl\n", - "import matplotlib.pyplot as plt\n", - "\n", - "import mesa.py_mesa_reader as mr\n", - "\n", "# These were used in the first set of maestro runs for this problem\n", "# They had a fe56 substrate with column y=4.6e10\n", "# prof1 = mr.MesaData(\"profile46.data\")\n", "# prof2 = mr.MesaData(\"profile47.data\")\n", "\n", "# These have a smaller substrate, y=5e9\n", - "prof1 = mr.MesaData(\"mesa/profile37.data\")\n", - "prof2 = mr.MesaData(\"mesa/profile38.data\")\n", + "prof1 = mr.MesaData(\"mesa/profile4.data\")\n", + "prof2 = mr.MesaData(\"mesa/profile5.data\")\n", "\n", "name1 = prof1.file_name.replace(\".data\",\"\")\n", "name2 = prof2.file_name.replace(\".data\",\"\")\n", @@ -73,24 +82,27 @@ "fig,(ax1,ax2,ax3) = plt.subplots(3,1,sharex=True,figsize=(10,8))\n", "fig.subplots_adjust(hspace=0)\n", "\n", - "ax1.plot(prof1.R_cm-12e5, prof1.T/1e8, 'k-', label=prof1.file_name)\n", - "ax1.plot(prof2.R_cm-12e5, prof2.T/1e8, 'r-', label=prof2.file_name)\n", + "# Rns = 12e5 # not exactly\n", + "Rns = prof1.R_center\n", + "\n", + "ax1.plot(prof1.R_cm-Rns, prof1.T/1e8, 'k-', label=prof1.file_name)\n", + "ax1.plot(prof2.R_cm-Rns, prof2.T/1e8, 'r-', label=prof2.file_name)\n", "# ax1.set_ylim([])\n", "ax1.set_ylabel(r'$T$ ($10^8$ K)')\n", "ax1.legend(frameon=False)\n", "\n", - "ax2.semilogy(prof1.R_cm-12e5, prof1.Rho, 'k-')\n", - "ax2.semilogy(prof2.R_cm-12e5, prof2.Rho, 'r-')\n", + "ax2.semilogy(prof1.R_cm-Rns, prof1.Rho, 'k-')\n", + "ax2.semilogy(prof2.R_cm-Rns, prof2.Rho, 'r-')\n", "ax2.set_ylabel(r'$\\rho$ (g cm$^{-3}$)')\n", "\n", - "ax3.plot(prof1.R_cm-12e5, prof1.h1, 'k-', label='h1')\n", - "ax3.plot(prof2.R_cm-12e5, prof2.h1, 'r-')\n", + "ax3.plot(prof1.R_cm-Rns, prof1.h1, 'k-', label='h1')\n", + "ax3.plot(prof2.R_cm-Rns, prof2.h1, 'r-')\n", "\n", - "ax3.plot(prof1.R_cm-12e5, prof1.he4, 'k--', label='he4')\n", - "ax3.plot(prof2.R_cm-12e5, prof2.he4, 'r--')\n", + "ax3.plot(prof1.R_cm-Rns, prof1.he4, 'k--', label='he4')\n", + "ax3.plot(prof2.R_cm-Rns, prof2.he4, 'r--')\n", "\n", - "ax3.plot(prof1.R_cm-12e5, prof1.c12, 'k:', label='c12')\n", - "ax3.plot(prof2.R_cm-12e5, prof2.c12, 'r:')\n", + "ax3.plot(prof1.R_cm-Rns, prof1.c12, 'k:', label='c12')\n", + "ax3.plot(prof2.R_cm-Rns, prof2.c12, 'r:')\n", "\n", "ax3.set_ylabel('Mass fraction')\n", "ax3.set_xlabel(r'r-R$_{\\rm NS}$ (cm)')\n", @@ -104,7 +116,7 @@ "id": "c8fdbcd7-b011-4184-84d6-d4ce3f7a8a89", "metadata": {}, "source": [ - "Only a small temperature bump seems necessary to ignite (notice the rapid burn he4->c12)\n", + "Only a small temperature bump seems necessary to ignite (notice the appearance of a convection zone which mixed the helium and carbon).\n", "\n", "Check the thin shell instability condition\n", "\n", @@ -113,7 +125,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "id": "b736e559-03b2-4005-bff4-0c3b9f1eca18", "metadata": { "tags": [] @@ -121,7 +133,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -152,11 +164,12 @@ "plt.figure(figsize=(6,4))\n", "plt.xlabel(r'r-R$_{\\rm NS}$ (cm)')\n", "plt.ylabel(r'$d\\epsilon/dT$')\n", - "plt.semilogy(prof1.R_cm-12e5, dheat_dT(prof1.Rho,prof1.T,prof1.he4), 'r-', label=f'{name1} heat')\n", - "plt.semilogy(prof2.R_cm-12e5, dheat_dT(prof2.Rho,prof2.T,prof2.he4), 'r:', label=f'{name2} heat')\n", "\n", - "plt.semilogy(prof1.R_cm-12e5, dcool_dT(prof1.T,prof1.opacity,prof1.column_depth), 'b-', label=f'{name1} cool')\n", - "plt.semilogy(prof2.R_cm-12e5, dcool_dT(prof2.T,prof2.opacity,prof2.column_depth), 'b:', label=f'{name2} cool')\n", + "plt.semilogy(prof1.R_cm-Rns, dheat_dT(prof1.Rho,prof1.T,prof1.he4), 'r-', label=f'{name1} heat')\n", + "plt.semilogy(prof2.R_cm-Rns, dheat_dT(prof2.Rho,prof2.T,prof2.he4), 'r:', label=f'{name2} heat')\n", + "\n", + "plt.semilogy(prof1.R_cm-Rns, dcool_dT(prof1.T,prof1.opacity,prof1.column_depth), 'b-', label=f'{name1} cool')\n", + "plt.semilogy(prof2.R_cm-Rns, dcool_dT(prof2.T,prof2.opacity,prof2.column_depth), 'b:', label=f'{name2} cool')\n", "\n", "plt.legend(loc=2, frameon=False)\n", "\n", @@ -186,7 +199,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "id": "03ee98c3", "metadata": {}, "outputs": [ @@ -238,7 +251,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "id": "8a88a488", "metadata": {}, "outputs": [ @@ -327,7 +340,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "id": "49d2a844", "metadata": {}, "outputs": [ @@ -384,7 +397,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "id": "2646d3ef", "metadata": {}, "outputs": [ @@ -420,7 +433,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "id": "b6c71df9", "metadata": {}, "outputs": [], @@ -441,7 +454,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "id": "c0b434e5", "metadata": {}, "outputs": [], @@ -453,7 +466,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "id": "19a5cc49", "metadata": {}, "outputs": [ @@ -512,7 +525,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "id": "aef7cac2", "metadata": {}, "outputs": [], @@ -523,7 +536,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "id": "5b25d5da", "metadata": {}, "outputs": [], @@ -544,7 +557,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "id": "88827d3b", "metadata": {}, "outputs": [ @@ -570,9 +583,9 @@ "plt.loglog(y_mesa, mesa_prof.he4,'m-', label='he4')\n", "plt.loglog(toy.y, toy.Y, 'm--')\n", "\n", - "cno_mesa = mesa_prof.c12\n", + "cno_mesa = np.copy(mesa_prof.c12)\n", "for iso in (\"c13\",\"n13\",\"n14\",\"n15\",\"o14\",\"o15\",\"o16\",\"o17\",\"o18\",\"f17\",\"f18\",\"f19\"):\n", - " cno_mesa += mesa_prof.data(iso)\n", + " cno_mesa += np.copy(mesa_prof.data(iso))\n", "plt.loglog(y_mesa, cno_mesa, 'g-', label='cno')\n", "plt.loglog(toy.y, toy.Zcno, 'g--')\n", "\n", @@ -596,13 +609,11 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 14, "id": "adcf3cce", "metadata": {}, "outputs": [], "source": [ - "from scipy.optimize import fsolve\n", - "\n", "# Constants\n", "kB = 1.380658e-16\n", "arad = 7.5657e-15\n", @@ -653,7 +664,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 15, "id": "6065ab1b", "metadata": {}, "outputs": [ @@ -688,12 +699,10 @@ "axb.set_ylabel(\"z (cm)\", color='m')\n", "axb.semilogx(y_mesa, mesa_prof.R_cm - 12e5, 'm-')\n", "\n", - "from scipy.integrate import cumulative_trapezoid as ct\n", - "# z = -1/g0 * ct(1/toy.rho, x=toy.y*g0)\n", - "# z = -1 * ct(1/toy.rho, x=toy.y)\n", + "# z = -1/g0 * integrate.cumulative_trapezoid(1/toy.rho, x=toy.y*g0)\n", + "# z = -1 * integrate.cumulative_trapezoid(1/toy.rho, x=toy.y)\n", "# axb.semilogx(toy.y[1:], z, 'm--')\n", "\n", - "\n", "# integrate in and out from the middle\n", "i0 = np.argwhere(mesa_prof.fe56 > 1e-10)[0]\n", "H0 = mesa_prof.R_cm[i0][0] - 12e5\n", @@ -701,14 +710,13 @@ "\n", "k0 = np.argmin(abs(toy.y - y_mesa[i0]))\n", "\n", - "z1 = ct(-1/toy.rho[k0:], x=toy.y[k0:]) + H0\n", + "z1 = integrate.cumulative_trapezoid(-1/toy.rho[k0:], x=toy.y[k0:]) + H0\n", "# axb.semilogx(toy.y[k0+1:], z1, 'm--')\n", "\n", - "\n", - "# z2 = ct(-1/toy.rho[:k0], x=toy.y[:k0])\n", + "# z2 = integrate.cumulative_trapezoid(-1/toy.rho[:k0], x=toy.y[:k0])\n", "# axb.semilogx(toy.y[:k0-1], z2, 'm--')\n", "\n", - "z2 = ct(-1/toy.rho[:k0+1][::-1], x=toy.y[:k0+1][::-1])[::-1] + H0\n", + "z2 = integrate.cumulative_trapezoid(-1/toy.rho[:k0+1][::-1], x=toy.y[:k0+1][::-1])[::-1] + H0\n", "# axb.semilogx(toy.y[:k0], z2, 'm--')\n", "\n", "z = np.concatenate((z2,[H0],z1))\n", @@ -731,7 +739,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 16, "id": "77474bf8", "metadata": {}, "outputs": [ @@ -761,7 +769,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 17, "id": "43fe6ec8", "metadata": {}, "outputs": [], @@ -787,7 +795,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 18, "id": "8b71df2a", "metadata": {}, "outputs": [ @@ -908,7 +916,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 19, "id": "fa928c31", "metadata": {}, "outputs": [ @@ -928,7 +936,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 20, "id": "e6c5d8aa", "metadata": {}, "outputs": [], @@ -938,7 +946,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 21, "id": "ba4246f0", "metadata": {}, "outputs": [ @@ -980,7 +988,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 22, "id": "b10958e4", "metadata": {}, "outputs": [ @@ -1003,7 +1011,7 @@ "toy2.rho = np.zeros(len(toy2.T))\n", "for i in range(len(toy2.T)):\n", " if toy2.Y[i]>0:\n", - " mu_I = 1/(toy.X[i] + toy.Y[i]/4 + toy.Zcno[i]/15)\n", + " mu_I = 1/(toy2.X[i] + toy2.Y[i]/4 + toy2.Zcno[i]/15)\n", " else:\n", " mu_I = 56\n", " mu_e = 2/(1+toy2.X[i])\n", @@ -1029,7 +1037,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 23, "id": "a052a827", "metadata": { "tags": [] @@ -1073,7 +1081,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 24, "id": "e3d8ca54-f2dd-456b-9115-9531ba18471e", "metadata": { "tags": [] @@ -1081,7 +1089,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -1131,12 +1139,12 @@ "id": "b1c29534-c624-44c8-ac44-1f0ad4815311", "metadata": {}, "source": [ - "Entropy profile, using a python port of the Helmoltz EOS (https://github.com/msbc/helmeos)" + "Entropy profile, using a python port of the Helmohltz EOS (https://github.com/msbc/helmeos)" ] }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 25, "id": "3c05303a-57f0-44d3-8554-2daaccbbdbc7", "metadata": { "tags": [] @@ -1146,12 +1154,12 @@ "name": "stdout", "output_type": "stream", "text": [ - "Initializing Helmholtz EOS table /global/homes/s/simongui/helmeos/helm_table.dat\n" + "Initializing Helmholtz EOS table /global/homes/s/simongui/helmeos/helmeos/helm_table.dat\n" ] }, { "data": { - "image/png": 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", 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", 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" ] @@ -1162,7 +1170,9 @@ ], "source": [ "import sys\n", - "sys.path.append(\"/global/homes/s/simongui/\")\n", + "# import os\n", + "# sys.path.append(os.environ.get(\"helmeos\")) # add helmeos location to path\n", + "sys.path.append(\"/global/homes/s/simongui/helmeos\")\n", "import helmeos\n", "\n", "abar = (toy2.X + toy2.Y/4 + toy2.Zcno/13 + toy2.Zfe/56)**-1\n", @@ -1193,6 +1203,412 @@ "\n", "plt.show()" ] + }, + { + "cell_type": "markdown", + "id": "5c980b96-d0a0-4ba9-87a3-67c8d470df80", + "metadata": {}, + "source": [ + "Entropy is flat in the convection zone as expected, then increases. The entropy gradient is steep in the hydrogen zone because of the composition gradient. It will be harder for the convection zone to make progress there." + ] + }, + { + "cell_type": "markdown", + "id": "32786511-7bf9-404c-94a1-12fab6be5c9d", + "metadata": {}, + "source": [ + "## Toy model with carbon (WIP)\n", + "\n", + "There is some carbon in the helium layer, built up by stable triple alpha before ignition. This is more carbon than will be made by helium burning in between ignition and the collision, and therefore should be important for the explosiveness of c12(p,g)n13 at the collision.\n", + "\n", + "We can make a model that has carbon in it. Again we\"ll fit the mesa model for that." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "e8dbd1aa-4297-466e-88b9-20040595421f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot\n", + "plt.figure(figsize=(6,3))\n", + "plt.xlabel(r\"$y$ (g cm$^{-2}$)\")\n", + "plt.ylabel(r\"Mass fraction\")\n", + "\n", + "plt.loglog(y_mesa, mesa_prof.h1,'b-', label='h1')\n", + "plt.loglog(toy.y, toy.X, 'b--')\n", + "plt.loglog(y_mesa, mesa_prof.he4,'m-', label='he4')\n", + "plt.loglog(toy.y, toy.Y, 'm--')\n", + "\n", + "plt.loglog(y_mesa, mesa_prof.c12, 'r-', label='c12')\n", + "cno_mesa = np.copy(mesa_prof.c12)\n", + "for iso in (\"c13\",\"n13\",\"n14\",\"n15\",\"o14\",\"o15\",\"o16\",\"o17\",\"o18\",\"f17\",\"f18\",\"f19\"):\n", + " cno_mesa += np.copy(mesa_prof.data(iso))\n", + "plt.loglog(y_mesa, cno_mesa, 'g-', label='cno')\n", + "plt.loglog(toy.y, toy.Zcno, 'g--')\n", + "\n", + "plt.loglog(y_mesa, mesa_prof.fe56,'-', color='gray', label='fe56')\n", + "plt.loglog(toy.y, toy.Zfe, '--', color='gray')\n", + "\n", + "plt.legend(loc=3, frameon=False)\n", + "plt.ylim([1e-3,1.1])\n", + "plt.xlim([1e5,1e10])\n", + "plt.gca().invert_xaxis()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "f437e352-441e-4b20-8fb4-2dcc955410a7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best fit : [6.33925616e+08 3.16184535e+00]\n" + ] + }, + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.loglog(y_mesa, mesa_prof.c12)\n", + "plt.xlim([1e5,1e10])\n", + "plt.ylim([1e-2,1.1])\n", + "# yvec=np.logspace(6,9)\n", + "# plt.loglog(yvec, (yvec/2e7)**-0.5)\n", + "# plt.loglog(yvec, (yvec/2e7)**-2.5)\n", + "# plt.loglog(yvec, np.exp(-(yvec - 1e6)/1e9))\n", + "\n", + "# ibot,itop = np.where(y_mesa>yd)[0][0], np.where(y_mesa>5e8)[0][0]\n", + "# xx,yy = y_mesa[ibot:itop], mesa_prof.he4[ibot:itop]\n", + "# plt.loglog(xx, yy)\n", + "\n", + "# def fitting_func(y,a,b,c):\n", + "# return np.exp(-(y-a)/b+c)\n", + "# popt, pcov = curve_fit(fitting_func, xx, yy, p0=(1e5,1e9,0))\n", + "# print(popt)\n", + "\n", + "# ibot,itop = np.where(y_mesa>1.5e8)[0][0], np.where(y_mesa>5e8)[0][0]\n", + "# xx,yy = y_mesa[ibot:itop], mesa_prof.he4[ibot:itop]\n", + "\n", + "ibot,itop = np.where(y_mesa>1.5e8)[0][0], np.where(y_mesa>4e8)[0][0]\n", + "xx,yy = y_mesa[ibot:itop], mesa_prof.c12[ibot:itop]\n", + "plt.loglog(xx, yy)\n", + "# plt.axvline(1.5e8)\n", + "\n", + "def fitting_func(y,y0,a):\n", + " return (y/y0)**a\n", + "popt, pcov = curve_fit(fitting_func, xx, yy)\n", + "print(\"Best fit : \", popt)\n", + "\n", + "plt.loglog(xx, fitting_func(xx, *popt), '--')" + ] + }, + { + "cell_type": "markdown", + "id": "3f94a77b-81fc-47d3-8c62-c89dd1352c59", + "metadata": {}, + "source": [ + "\n", + "\n", + "We now use an analytical expression for the carbon fraction:\n", + "$$Z_C(y)=\\begin{cases}(y/6.34\\times10^8)^{3.16}, \\;y_2yyc[0]:\n", + " # Zc = (y/popt[0])**popt[1]\n", + " Zc = (y/5.7e8)**3.16 # tweak the column depth (lower it) so that the total mass/column of carbon is similar to MESA\n", + " else:\n", + " Zc = 0\n", + " Y = 1-X-Zc-Zo\n", + "\n", + " toy3.X = np.append(toy3.X, X)\n", + " toy3.Y = np.append(toy3.Y, Y)\n", + " toy3.Zo = np.append(toy3.Zo, Zo)\n", + " toy3.Zc = np.append(toy3.Zc, Zc)\n", + " toy3.Zfe = np.append(toy3.Zfe, Zfe)\n", + "\n", + "# # sanity check\n", + "assert max(toy.Y)<=1.0 and min(toy.Y)>=0" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "380aa5b0-2b14-4f42-a21f-378cd500c000", + "metadata": {}, + "outputs": [], + "source": [ + "# # Plot\n", + "# plt.figure(figsize=(6,3))\n", + "# plt.xlabel(r\"$y$ (g cm$^{-2}$)\")\n", + "# plt.ylabel(r\"Mass fraction\")\n", + "\n", + "# plt.loglog(y_mesa, mesa_prof.h1,'b-', label='h1', lw=3, alpha=0.3)\n", + "# plt.loglog(toy3.y, toy3.X, 'b--')\n", + "# plt.loglog(y_mesa, mesa_prof.he4,'m-', label='he4', lw=3, alpha=0.3)\n", + "# plt.loglog(toy3.y, toy3.Y, 'm--')\n", + "# plt.loglog(y_mesa, mesa_prof.c12,'r-', label='c12', lw=3, alpha=0.3)\n", + "# plt.loglog(toy3.y, toy3.Zc, 'r--')\n", + "\n", + "# no_mesa = np.copy(mesa_prof.n13)\n", + "# for iso in (\"c13\",\"n14\",\"n15\",\"o14\",\"o15\",\"o16\",\"o17\",\"o18\",\"f17\",\"f18\",\"f19\"):\n", + "# no_mesa += np.copy(mesa_prof.data(iso))\n", + "# plt.loglog(y_mesa, no_mesa, 'g-', label='CNO - c12', lw=3, alpha=0.3)\n", + "# plt.loglog(toy3.y, toy3.Zo, 'g--')\n", + "\n", + "# plt.loglog(y_mesa, mesa_prof.fe56,'-', color='gray', label='fe56', lw=3, alpha=0.3)\n", + "# plt.loglog(toy3.y, toy3.Zfe, '--', color='gray')\n", + "\n", + "# plt.legend(loc=3, frameon=False)\n", + "# plt.ylim([1e-2,1.1])\n", + "# plt.xlim([1e5,1e10])\n", + "# plt.gca().invert_xaxis()\n", + "# plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "69f246ab-a08e-421d-bd7f-41c67ee77ea3", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "New density where T=Tbase (y=y1) is 1.442e+06\n" + ] + } + ], + "source": [ + "# Compute density profile\n", + "\n", + "toy3.rho = np.zeros(len(toy3.T))\n", + "for i in range(len(toy3.T)):\n", + " if toy3.Y[i]>0:\n", + " mu_I = 1/(toy3.X[i] + toy3.Y[i]/4 + toy3.Zc[i]/12 + toy3.Zo[i]/15)\n", + " else:\n", + " mu_I = 56\n", + " mu_e = 2/(1+toy3.X[i])\n", + " mu = 1/(1/mu_I + 1/mu_e)\n", + " T = toy3.T[i]\n", + " def pgas(rho):\n", + " return rho*kB*T/mu_I/mp\n", + " def pe(rho):\n", + " rY = rho/mu_e # rho*Ye = rho/mu_e\n", + " pednr = 9.91e12 * (rY)**(5/3) \n", + " pedr = 1.231e15 * (rY)**(4/3)\n", + " ped = 1/np.sqrt((1/pedr**2)+(1/pednr**2))\n", + " pend = kB/mp*rY*T\n", + " pe = np.sqrt(ped**2 + pend**2)\n", + " return pe\n", + " prad = arad*T**4/3\n", + " true_ptot = g0 * toy3.y[i]\n", + " error = lambda rho: true_ptot - (pgas(rho) + pe(rho) + prad)\n", + " toy3.rho[i] = fsolve(error, x0=1e7)[0]\n", + " \n", + "print(f\"New density where T=Tbase (y=y1) is {toy3.rho[np.argmin(abs(toy3.y-y1))]:.3e}\")" + ] + }, + { + "cell_type": "markdown", + "id": "28912128-6e5d-4eae-a8b6-7f4c967d06be", + "metadata": {}, + "source": [ + "### Check the toy model we created" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "aaacbf6e-e91a-4f78-83f0-f7c93f97c254", + "metadata": {}, + "outputs": [], + "source": [ + "def load_toy_model(toy_model_filename):\n", + " all_data = np.loadtxt(\"./toy_atm/\" + toy_model_filename, skiprows=26).T\n", + " names = [\"density\",\"temperature\",\"pressure\",\"hydrogen-1\",\"helium-4\",\"carbon-12\",\"carbon-13\",\"nitrogen-13\",\"nitrogen-14\",\"nitrogen-15\",\"oxygen-14\",\"oxygen-15\",\"oxygen-16\",\"oxygen-17\",\"oxygen-18\",\"fluorine-17\",\"fluorine-18\",\"fluorine-19\",\"neon-18\",\"neon-19\",\"neon-20\",\"magnesium-22\",\"magnesium-24\",\"iron-56\"]\n", + " data = {name:all_data[i+1] for i,name in enumerate(names)}\n", + " z = all_data[0]\n", + " return z, data\n", + "\n", + "z,toy_model = load_toy_model(\"toy_atm_hot_carbon_3cm.hse\")\n", + "y_toy = toy_model['pressure']/1.29e14" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "b64c973b-34f2-4238-bcf5-fa64f163eef7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot\n", + "plt.figure(figsize=(6,3))\n", + "plt.xlabel(r\"$y$ (g cm$^{-2}$)\")\n", + "plt.ylabel(r\"Mass fraction\")\n", + "\n", + "plt.loglog(y_mesa, mesa_prof.h1,'b-', label='h1', lw=3, alpha=0.3)\n", + "plt.loglog(y_toy, toy_model['hydrogen-1'], 'b--')\n", + "plt.loglog(y_mesa, mesa_prof.he4,'m-', label='he4', lw=3, alpha=0.3)\n", + "plt.loglog(y_toy, toy_model['helium-4'], 'm--')\n", + "plt.loglog(y_mesa, mesa_prof.c12,'r-', label='c12', lw=3, alpha=0.3)\n", + "plt.loglog(y_toy, toy_model['carbon-12'], 'r--')\n", + "\n", + "no_mesa = np.copy(mesa_prof.n13)\n", + "for iso in (\"c13\",\"n14\",\"n15\",\"o14\",\"o15\",\"o16\",\"o17\",\"o18\",\"f17\",\"f18\",\"f19\"):\n", + " no_mesa += np.copy(mesa_prof.data(iso))\n", + "plt.loglog(y_mesa, no_mesa, 'g-', label='CNO - c12', lw=3, alpha=0.3)\n", + "plt.loglog(y_toy, toy_model['oxygen-14']+toy_model['oxygen-15'], 'g--')\n", + "\n", + "plt.loglog(y_mesa, mesa_prof.fe56,'-', color='gray', label='fe56', lw=3, alpha=0.3)\n", + "plt.loglog(y_toy, toy_model['iron-56'], '--', color='gray')\n", + "\n", + "plt.legend(loc=3, frameon=False)\n", + "plt.ylim([1e-2,1.1])\n", + "plt.xlim([1e5,1e10])\n", + "plt.gca().invert_xaxis()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "25823076-217f-4079-a6c2-fd79f05d3166", + "metadata": {}, + "source": [ + "Check the mass of different species" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "4b78e411-a1fe-429d-8706-22e71b37f359", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Column of h1 MESA : 1.23e+07 Toy : 1.29e+07\n", + "Column of he4 MESA : 4.40e+08 Toy : 3.99e+08\n", + "Column of c12 MESA : 6.04e+07 Toy : 5.86e+07\n", + "Column of fe56 MESA : 6.53e+09 Toy : 6.88e+09\n" + ] + } + ], + "source": [ + "print(f\"Column of h1 \\\n", + " MESA : {integrate.trapezoid(y=mesa_prof.h1, x=y_mesa):.2e} \\\n", + " Toy : {-integrate.trapezoid(z, x=toy_model['hydrogen-1']*toy_model['density']):.2e}\")\n", + "print(f\"Column of he4 \\\n", + " MESA : {integrate.trapezoid(y=mesa_prof.he4, x=y_mesa):.2e} \\\n", + " Toy : {-integrate.trapezoid(z, x=toy_model['helium-4']*toy_model['density']):.2e}\")\n", + "print(f\"Column of c12 \\\n", + " MESA : {integrate.trapezoid(y=mesa_prof.c12, x=y_mesa):.2e} \\\n", + " Toy : {-integrate.trapezoid(z, x=toy_model['carbon-12']*toy_model['density']):.2e}\")\n", + "print(f\"Column of fe56\\\n", + " MESA : {integrate.trapezoid(y=mesa_prof.fe56, x=y_mesa):.2e} \\\n", + " Toy : {-integrate.trapezoid(z, x=toy_model['iron-56']*toy_model['density']):.2e}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "5595f7c9-f317-4a0e-a269-0c2b44b8a531", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.130\n", + "0.136\n" + ] + } + ], + "source": [ + "# We want the mass fraction of carbon to be similar to mesa once it's mixed, at the collision,\n", + "# so we need to roughly conserve yc12/(yhe4+yc12-yd)\n", + "print(\"%.3f\"%(6.04e7/(4.4e8+6.04e7-yd)))\n", + "print(\"%.3f\"%(5.69e7/(4.0e8+5.69e7-yd)))\n", + "# close enough" + ] } ], "metadata": { diff --git a/Exec/science/xrb_layered/create_initial_model/README.md b/Exec/science/xrb_layered/create_initial_model/README.md index 3f51df8b9..96440224f 100644 --- a/Exec/science/xrb_layered/create_initial_model/README.md +++ b/Exec/science/xrb_layered/create_initial_model/README.md @@ -1,13 +1,11 @@ ## MESA -We first use MESA to create a model of a neutron star with mass $M=1.4M_\odot$ , radius $R=12$ km, and surface gravity $g=GM/R^2=1.29\times10^{14}$ g/cm $^2$ (MESA is Newtonian, and gravity has not been redshift-corrected). - -We then accrete a column $y\sim 2\times 10^4$ g/cm $^{2}$ of iron. This will be the substrate/buffer below the burning region. +We first use MESA to create a model of a neutron star with mass $M=1.4M_\odot$ , radius $R=12$ km, and surface gravity $g=GM/R^2=1.29\times10^{14}$ g/cm $^2$ (MESA is Newtonian, and gravity has not been redshift-corrected). Initially, the model is just an atmosphere of pure iron with a column depth of 5e9 g/cm2. We then accrete a "solar" mixture (70% hydrogen, 28% helium, 2% carbon-12) for a few days, until ignition in a helium layer. -The last two profiles of the MESA run (`profile37.data` & `profile38.data`) are copied in `mesa/`. These steps are all done in [github.com/simonguichandut/mesa\_mixed\_burst](https://github.com/simonguichandut/mesa_mixed_burst). The relevant run is `run/make_ignition_model_for_hydro/`. +The last two models of the MESA run (`profile4.data` & `profile5.data`) are copied in `mesa/`. These steps are all done in [github.com/simonguichandut/mesa\_mixed\_burst](https://github.com/simonguichandut/mesa_mixed_burst). The relevant run is `run/make_ignition_model_for_hydro/`. ## Toy model -See the notebook `Initial_Model.ipynb` for a detailed explanation of how we use the MESA model (profile37) to construct a simplified toy model, with a temperature kick at the bottom of the fuel layer. This is done in `toy_atm/`, which is a modified version of https://github.com/AMReX-Astro/initial_models/tree/main/toy_atm . \ No newline at end of file +See the notebook `Initial_Model.ipynb` for a detailed explanation of how we use the pre-igntion MESA model (profile4) to construct a simplified toy model, with a temperature kick at the bottom of the fuel layer. This is done in `toy_atm/`, which is a modified version of https://github.com/AMReX-Astro/initial_models/tree/main/toy_atm . \ No newline at end of file diff --git a/Exec/science/xrb_layered/create_initial_model/mesa/profile4.data b/Exec/science/xrb_layered/create_initial_model/mesa/profile4.data new file mode 100644 index 000000000..c59530963 --- /dev/null +++ b/Exec/science/xrb_layered/create_initial_model/mesa/profile4.data @@ -0,0 +1,1312 @@ + 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 + model_number num_zones initial_mass initial_z star_age time_step M_center R_center L_center Teff photosphere_L photosphere_r center_eta center_h1 center_he3 center_he4 center_c12 center_n14 center_o16 center_ne20 star_mass star_mdot star_mass_h1 star_mass_he3 star_mass_he4 star_mass_c12 star_mass_n14 star_mass_o16 star_mass_ne20 he_core_mass c_core_mass o_core_mass si_core_mass 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1.0000000000000014E-099 1.0000000000000000E+000 diff --git a/Exec/science/xrb_layered/create_initial_model/toy_atm/_parameters b/Exec/science/xrb_layered/create_initial_model/toy_atm/_parameters index 349478518..39c4baafb 100644 --- a/Exec/science/xrb_layered/create_initial_model/toy_atm/_parameters +++ b/Exec/science/xrb_layered/create_initial_model/toy_atm/_parameters @@ -33,6 +33,9 @@ X0 real 0.7 Zcno real 0.02 yd real 1.e7 ash_name character "iron-56" +add_carbon integer 0 +carbon_y real 5.e8 +carbon_del real 3.0 # Other index_base_from_temp integer 0 diff --git a/Exec/science/xrb_layered/create_initial_model/toy_atm/init_1d.H b/Exec/science/xrb_layered/create_initial_model/toy_atm/init_1d.H index bae52413e..c6b83cc4e 100644 --- a/Exec/science/xrb_layered/create_initial_model/toy_atm/init_1d.H +++ b/Exec/science/xrb_layered/create_initial_model/toy_atm/init_1d.H @@ -182,7 +182,7 @@ AMREX_INLINE void init_1d() // We know the pressure (from y1) and the temperature Real pres_base = -problem_rp::g_const * problem_rp::y1; - // However there is know (p,T) input option, so we need to iterate + // However there is no (p,T) input option, so we need to iterate // to find the base density. // We know that it is roughly 1.3-1.5e6 (Initial_Model notebook) @@ -621,4 +621,4 @@ AMREX_INLINE void init_1d() std::cout << "maximum HSE error = " << max_hse_error << std::endl; -} \ No newline at end of file +} diff --git a/Exec/science/xrb_layered/create_initial_model/toy_atm/init_1d_carbon.H b/Exec/science/xrb_layered/create_initial_model/toy_atm/init_1d_carbon.H new file mode 100644 index 000000000..e75ee7d64 --- /dev/null +++ b/Exec/science/xrb_layered/create_initial_model/toy_atm/init_1d_carbon.H @@ -0,0 +1,573 @@ +// See the header of init_1d.H for the full explanation +// The difference here is that carbon is included in the helium layer +// following a power law Zc(y) = (y/y0)^del +// Then the helium fraction is Y = 1-X-Zc-Zcno +// Zcno is still just made up of o14/o15 +// +// X +// ^ +// | star | reg 1 | reg 2 | region 3 +// 1.0 +--------* -------- (he4) +// | ash . / \ +// | . \ \ +--------- X0 (hydrogen) +// | . \ \ / +// | . \ (c12) \/ +// | . \ /\ +// | . \ / \ +// | . \ / +--------- 1-X0-Zcno (helium) +// | .----------/--------------- Zcno (o14/o15) +// 0.0 +--------+---------+-----------------> r +// || +// |------------| +// | +// + +#include + +#include + +#include +#include + +#include + +using namespace amrex; + +AMREX_INLINE void init_1d_carbon() +{ + + // define convenient indices for the scalars + + const int nvar = 3 + NumSpec; + const int idens = 0; + const int itemp = 1; + const int ipres = 2; + const int ispec = 3; + + const Real TOL = 1.e-10_rt; + + const int MAX_ITER = 250; + + const Real smallx = 1.e-10_rt; + + // get the species indices + int ih1 = network_spec_index("hydrogen-1"); + int ihe4 = network_spec_index("helium-4"); + int ic12 = network_spec_index("carbon-12"); + int io14 = network_spec_index("oxygen-14"); + int io15 = network_spec_index("oxygen-15"); + int iash = network_spec_index(problem_rp::ash_name); + + Real xn[NumSpec] = {0.0_rt}; + + // set the composition of the underlying star + + Real xn_star[NumSpec] = {smallx}; + xn_star[iash] = 1.0; + + // the composition of the first layer above the star + // First we'll set the cno to the correct relative abundance of oxygen, + // the prescribed carbon power law, and the rest will be helium + // Later, we'll replace some of the helium/carbon with hydrogen according + // to column depth, or pressure + + Real xn_base[NumSpec] = {smallx}; + xn_base[io15] = problem_rp::Zcno / (1.0 + 70.621/122.266); + xn_base[io14] = problem_rp::Zcno - xn_base[io15]; + xn_base[ic12] = pow(problem_rp::y1/problem_rp::carbon_y, problem_rp::carbon_del); + xn_base[ihe4] = 1.0 - xn_base[ic12] - problem_rp::Zcno; + + // check if they sum to 1 + double sum{0.0}; + for (auto e : xn_base) { + sum += e; + } + if (std::abs(sum) - 1.0_rt > NumSpec * smallx) { + amrex::Error("ERROR: fuel mass fractions don't sum to 1"); + } + + + // Create a 1-d uniform grid that is identical to the mesh that we are + // mapping onto, and then we want to force it into HSE on that mesh. + + if (problem_rp::nx > NPTS_MODEL) { + amrex::Error("too many zones requested -- increase NPTS_MODEL"); + } + + Array1D xznl_hse; + Array1D xzn_hse; + Array1D xznr_hse; + + Array2D model_hse; + + // compute the coordinates of the new gridded function + + Real dCoord = (problem_rp::xmax - problem_rp::xmin) / static_cast(problem_rp::nx); + + for (int i = 0; i < problem_rp::nx; ++i) { + xznl_hse(i) = problem_rp::xmin + (static_cast(i)) * dCoord; + xzn_hse(i) = problem_rp::xmin + (static_cast(i) + 0.5_rt) * dCoord; + xznr_hse(i) = problem_rp::xmin + (static_cast(i) + 1.0_rt) * dCoord; + } + + // put the model onto our new uniform grid + + bool fluff = false; + + // determine the conditions at the base + + eos_t eos_state; + eos_state.T = problem_rp::T_base; + for (int n = 0; n < NumSpec; ++n) { + eos_state.xn[n] = xn_base[n]; + } + + // We know the pressure (from y1) and the temperature + Real pres_base = -problem_rp::g_const * problem_rp::y1; + + // However there is no (p,T) input option, so we need to iterate + // to find the base density. + // We know that it is roughly 1.3-1.5e6 (Initial_Model notebook) + + Real err_min = 1.0e99; + Real n_best = 0; + for (int n=0; n<200; ++n) { + eos_state.rho = (1.3 + n*0.001)*1.e6; + eos(eos_input_rt, eos_state); + + Real error = std::abs(eos_state.p - pres_base); + if (error < err_min) { + err_min = error; + n_best = n; + } + } + + Real dens_base = (1.3 + n_best*0.001)*1.e6; + + std::cout << "Best fitting base density = " << dens_base << std::endl; + + eos_state.rho = dens_base; + eos(eos_input_rt, eos_state); + + pres_base = eos_state.p; + + + // set an initial temperature profile and composition + + for (int i = 0; i < problem_rp::nx; ++i) { + + // Make hyperbolic tangent transition between star and base + + // Composition + for (int n = 0; n < NumSpec; ++n) { + model_hse(i, ispec+n) = xn_star[n] + + 0.5_rt * (xn_base[n] - xn_star[n]) * + (1.0_rt + std::tanh((xzn_hse(i) - (problem_rp::xmin + problem_rp::H_star - problem_rp::delta) + problem_rp::delta) / problem_rp::delta)); + } + + // Temperature + model_hse(i, itemp) = problem_rp::T_star + 0.5_rt * (problem_rp::T_base - problem_rp::T_star) * + (1.0_rt + std::tanh((xzn_hse(i) - (problem_rp::xmin + problem_rp::H_star - problem_rp::delta) + problem_rp::delta) / problem_rp::delta)); + + + // the density and pressure will be determined via HSE, + // for now, set them to the base conditions + model_hse(i, idens) = dens_base; + model_hse(i, ipres) = pres_base; + } + + + // find the index of the base height + int index_base = -1; + + if (problem_rp::index_base_from_temp == 1) { + for (int i = 0; i < problem_rp::nx; ++i) { + if (model_hse(i, itemp) > 0.9995 * problem_rp::T_base) { + index_base = i+1; + break; + } + } + } else { + for (int i = 0; i < problem_rp::nx; ++i) { + if (xzn_hse(i) >= problem_rp::xmin + problem_rp::H_star + problem_rp::delta) { + index_base = i+1; + break; + } + } + } + + if (index_base == -1) { + amrex::Error("ERROR: base_height not found on grid"); + } + + std::cout << "index_base = " << index_base << "; x=" << xzn_hse(index_base) << std::endl; + + + // make the base thermodynamics consistent for this base point -- that is + // what we will integrate from! + + eos_state.rho = model_hse(index_base, idens); + eos_state.T = model_hse(index_base, itemp); + for (int n = 0; n < NumSpec; ++n) { + eos_state.xn[n] = model_hse(index_base, ispec+n); + } + + eos(eos_input_rt, eos_state); + + model_hse(index_base, ipres) = eos_state.p; + + Real y_base = -1.*eos_state.p/problem_rp::g_const; + std::cout << "Recovered base column depth y8 = " << y_base/1.e8 << std::endl; + + + // HSE solve + + // the HSE state will be done by fixing the temperature according to the power-law + // then iterating until the pressure from HSE and from EOS agree + + Real dens_zone; + Real temp_zone; + Real pres_zone; + Real y_zone; + + Real p_want; + Real y_want; + Real drho; + Real dtemp; + + // Keep track of which power-law we are currently in + // We know which one is first + Real current_T0 = eos_state.T; + Real current_y0 = y_base; + Real current_del = problem_rp::del1; + + bool cross_y2 = false; + bool cross_y3 = false; + + + // Integrate up to the top of the model + + for (int i = index_base+1; i < problem_rp::nx; ++i) { + + Real delx = xzn_hse(i) - xzn_hse(i-1); + + // we've already set initial guesses for density, temperature, and composition + dens_zone = model_hse(i, idens); + temp_zone = model_hse(i, itemp); + for (int n = 0; n < NumSpec; ++n) { + xn[n] = model_hse(i, ispec+n); + } + + // iteration loop + bool converged_hse = false; + + for (int iter = 0; iter < MAX_ITER; ++iter) { + + if (fluff) { + dens_zone = problem_rp::low_density_cutoff; + temp_zone = problem_rp::T_lo; + + // if here, assume we're at low column and X is constant + xn[ih1] = problem_rp::X0; + xn[ihe4] = 1.0 - problem_rp::X0 - problem_rp::Zcno; + + } else { + + p_want = model_hse(i-1, ipres) + + delx * 0.5_rt * (dens_zone + model_hse(i-1, idens)) * problem_rp::g_const; + + // The column depth determines both the temperature and hydrogen fraction + y_want = -p_want/problem_rp::g_const; + // std::cout << y_want << " " << current_del << std::endl; + + temp_zone = current_T0 * pow(y_want/current_y0, current_del); + + if (y_want > problem_rp::y2) { + xn[ic12] = pow(y_want/problem_rp::carbon_y, problem_rp::carbon_del); + } else { + xn[ic12] = 0.0; + } + + xn[ih1] = problem_rp::X0 * (1 - y_want/problem_rp::yd); + xn[ihe4] = 1.0 - problem_rp::Zcno - xn[ic12] - xn[ih1]; + if (xn[ih1] < 0) { + xn[ih1] = 0; + xn[ihe4] = 1.0 - problem_rp::Zcno - xn[ic12]; + } + + // set to isothermal if hit threshold + if (temp_zone < problem_rp::T_lo) { + temp_zone = problem_rp::T_lo; + } + + // std::cout << "T=" << temp_zone << std::endl; + } + + // (t, rho) -> (p) + eos_state.T = temp_zone; + eos_state.rho = dens_zone; + for (int n = 0; n < NumSpec; ++n) { + eos_state.xn[n] = xn[n]; + } + + eos(eos_input_rt, eos_state); + + pres_zone = eos_state.p; + + Real dpd = eos_state.dpdr; + + drho = (p_want - pres_zone) / (dpd - 0.5_rt * delx * problem_rp::g_const); + + dens_zone = amrex::max(0.9_rt * dens_zone, + amrex::min(dens_zone + drho, 1.1_rt * dens_zone)); + + + if (std::abs(drho) < TOL * dens_zone) { + converged_hse = true; + break; + } + + if (dens_zone <= problem_rp::low_density_cutoff) { + dens_zone = problem_rp::low_density_cutoff; + temp_zone = problem_rp::T_lo; + converged_hse = true; + if (!fluff) { + std::cout << "Hit fluff at x=" << xzn_hse(i) << ", y=" << y_want << std::endl; + } + fluff = true; + break; + } + } + + if (! converged_hse) { + std::cout << "\nError zone " << i << " did not converge in init_1d" << std::endl; + std::cout << "x = " << xzn_hse(i) << "(radiative layer)" << std::endl; + std::cout << "rho,T = " << dens_zone << " " << temp_zone << std::endl; + std::cout << "drho,dT = " << drho << " " << dtemp << std::endl; + amrex::Error("Error: HSE non-convergence"); + } + + // call the EOS one more time for this zone and then go on to the next + // (t, rho) -> (p) + + eos_state.T = temp_zone; + eos_state.rho = dens_zone; + for (int n = 0; n < NumSpec; ++n) { + eos_state.xn[n] = xn[n]; + model_hse(i, ispec+n) = xn[n]; + } + + eos(eos_input_rt, eos_state); + + pres_zone = eos_state.p; + + // update the thermodynamics in this zone + model_hse(i, idens) = dens_zone; + model_hse(i, itemp) = temp_zone; + model_hse(i, ipres) = pres_zone; + + // to make this process converge faster, set the density in the + // next zone to the density in this zone + model_hse(i+1,idens) = dens_zone; + + // Update the power-law + y_zone = -1*pres_zone/problem_rp::g_const; + + if ( !cross_y2 and y_zone < problem_rp::y2 ) { + current_T0 = temp_zone; + current_y0 = y_zone; + current_del = problem_rp::del2; + cross_y2 = true; + + std::cout << "crossed y2 at x=" << xzn_hse(i) << std::endl; + + } else if ( !cross_y3 and y_zone < problem_rp::y3 ) { + current_T0 = temp_zone; + current_y0 = y_zone; + current_del = problem_rp::del3; + cross_y3 = true; + + std::cout << "crossed y3 at x=" << xzn_hse(i) << std::endl; + } + + } + + std::cout << "top column depth y = " << -1.*pres_zone/problem_rp::g_const << std::endl; + + + // integrate down -- using the temperature profile defined above + + for (int i = index_base-1; i >= 0; --i) { + + Real delx = xzn_hse(i+1) - xzn_hse(i); + + // we already set the temperature and composition profiles + temp_zone = model_hse(i, itemp); + for (int n = 0; n < NumSpec; ++n) { + xn[n] = model_hse(i, ispec+n); + } + + // use our previous initial guess for density + + dens_zone = model_hse(i+1, idens); + + + // iteration loop + + // start off the Newton loop by saying that the zone has not converged + bool converged_hse = false; + + for (int iter = 0; iter < MAX_ITER; ++iter) { + + // get the pressure we want from the HSE equation, just the + // zone below the current. Note, we are using an average of + // the density of the two zones as an approximation of the + // interface value -- this means that we need to iterate for + // find the density and pressure that are consistent + + // HSE differencing + + p_want = model_hse(i+1, ipres) - + delx * 0.5_rt * (dens_zone + model_hse(i+1, idens)) * problem_rp::g_const; + + // we will take the temperature already defined in model_hse + // so we only need to zero: + // A = p_want - p(rho) + + // (t, rho) -> (p) + eos_state.T = temp_zone; + eos_state.rho = dens_zone; + for (int n = 0; n < NumSpec; ++n) { + eos_state.xn[n] = xn[n]; + } + + eos(eos_input_rt, eos_state); + + pres_zone = eos_state.p; + + Real dpd = eos_state.dpdr; + + Real A = p_want - pres_zone; + + drho = A / (dpd + 0.5_rt * delx * problem_rp::g_const); + + dens_zone = amrex::max(0.9_rt * dens_zone, + amrex::min(dens_zone + drho, 1.1_rt * dens_zone)); + + if (std::abs(drho) < TOL * dens_zone) { + converged_hse = true; + break; + } + + } + + if (! converged_hse) { + std::cout << "Error zone " << i << " did not converge in init_1d" << std::endl; + std::cout << "base isothermal layer" << std::endl; + std::cout << dens_zone << " " << temp_zone << std::endl; + std::cout << p_want << std::endl; + std::cout << drho << std::endl; + amrex::Error("Error: HSE non-convergence"); + } + + + // call the EOS one more time for this zone and then go on to the next + // (t, rho) -> (p) + eos_state.T = temp_zone; + eos_state.rho = dens_zone; + for (int n = 0; n < NumSpec; ++n) { + eos_state.xn[n] = xn[n]; + } + + eos(eos_input_rt, eos_state); + + pres_zone = eos_state.p; + + // update the thermodynamics in this zone + model_hse(i, idens) = dens_zone; + model_hse(i, itemp) = temp_zone; + model_hse(i, ipres) = pres_zone; + + } + + + // auto deltastr = num_to_unitstring(delta); + auto dxstr = num_to_unitstring(dCoord); + + // std::string outfile = problem_rp::model_prefix + ".hse.tanh.delta_" + deltastr + ".dx_" + dxstr; + std::string outfile = problem_rp::model_prefix + "_" + dxstr + ".hse"; + + std::string outfile2 = outfile + ".extras"; + + std::ofstream of(outfile); + std::ofstream of2(outfile2); + + of << "# npts = " << problem_rp::nx << std::endl; + of << "# num of variables = " << nvar << std::endl; + of << "# density" << std::endl; + of << "# temperature" << std::endl; + of << "# pressure" << std::endl; + + for (int n = 0; n < NumSpec; ++n) { + of << "# " << spec_names_cxx[n] << std::endl; + } + + for (int i = 0; i < problem_rp::nx; ++i) { + of << std::setprecision(12) << std::setw(20) << xzn_hse(i) << " "; + of << std::setprecision(12) << std::setw(20) << model_hse(i, idens) << " "; + of << std::setprecision(12) << std::setw(20) << model_hse(i, itemp) << " "; + of << std::setprecision(12) << std::setw(20) << model_hse(i, ipres) << " "; + for (int n = 0; n < NumSpec; ++n) { + of << std::setprecision(12) << std::setw(20) << model_hse(i, ispec+n) << " "; + } + of << std::endl; + } + + of.close(); + + std::cout << "Saved model to " << outfile << std::endl; + + // some metadata + of << "# generated by toy_atm_layered" << std::endl; + //of << "# inputs file: " << params_file << std::endl; + + // extras file + + of2 << "# npts = " << problem_rp::nx << std::endl; + of2 << "# num of variables = " << 2 << std::endl; + of2 << "# entropy" << std::endl; + of2 << "# c_s" << std::endl; + + for (int i = 0; i < problem_rp::nx; ++i) { + eos_state.rho = model_hse(i, idens); + eos_state.T = model_hse(i, itemp); + for (int n = 0; n < NumSpec; ++n) { + eos_state.xn[n] = model_hse(i, ispec+n); + } + + eos(eos_input_rt, eos_state); + + of2 << std::setprecision(12) << std::setw(20) << xzn_hse(i) << std::endl; + of2 << std::setprecision(12) << std::setw(20) << eos_state.s << std::endl; + of2 << std::setprecision(12) << std::setw(20) << eos_state.cs << std::endl; + } + + // compute the maximum HSE error + + Real max_hse_error = -1.e30; + + for (int i = 1; i < problem_rp::nx-1; ++i) { + + Real delx = xzn_hse(i) - xzn_hse(i-1); + + Real dpdr = (model_hse(i, ipres) - model_hse(i-1, ipres)) / delx; + Real rhog = 0.5_rt * (model_hse(i, idens) + model_hse(i-1, idens)) * problem_rp::g_const; + + if (dpdr != 0.0_rt && model_hse(i+1, idens) > problem_rp::low_density_cutoff) { + max_hse_error = amrex::max(max_hse_error, std::abs(dpdr - rhog) / std::abs(dpdr)); + } + } + + std::cout << "maximum HSE error = " << max_hse_error << std::endl; + +} diff --git a/Exec/science/xrb_layered/create_initial_model/toy_atm/inputs_hot_carbon b/Exec/science/xrb_layered/create_initial_model/toy_atm/inputs_hot_carbon new file mode 100644 index 000000000..f41595714 --- /dev/null +++ b/Exec/science/xrb_layered/create_initial_model/toy_atm/inputs_hot_carbon @@ -0,0 +1,32 @@ +problem.model_prefix = "toy_atm_hot_carbon" + +problem.nx = 1024 +problem.xmin = 0.0 +problem.xmax = 3072.0 + +problem.g_const = -1.29e14 + +problem.T_star = 1.0e8 +problem.H_star = 1120.0 +problem.delta = 5.0 + +problem.T_base = 3.5e8 + +problem.y1 = 4.5e8 +problem.del1 = 0.37 +problem.y2 = 5.6e7 +problem.del2 = 0.12 +problem.y3 = 2.0e7 +problem.del3 = 0.22 + +problem.low_density_cutoff = 1.e-4 +problem.T_lo = 1.e6 + +problem.X0 = 0.7 +problem.Zcno = 0.02 +problem.yd = 3.7e7 + +problem.add_carbon = 1 +problem.carbon_y = 5.9e8 +problem.carbon_del = 3.16 + diff --git a/Exec/science/xrb_layered/create_initial_model/toy_atm/main.cpp b/Exec/science/xrb_layered/create_initial_model/toy_atm/main.cpp index 864ee4a6d..a86ba94a0 100644 --- a/Exec/science/xrb_layered/create_initial_model/toy_atm/main.cpp +++ b/Exec/science/xrb_layered/create_initial_model/toy_atm/main.cpp @@ -22,6 +22,7 @@ #include #include #include +#include std::string inputs_name = ""; @@ -54,7 +55,11 @@ main (int argc, eos_init(problem_rp::small_temp, problem_rp::small_dens); - init_1d(); + if (problem_rp::add_carbon) { + init_1d_carbon(); + } else { + init_1d(); + } amrex::Finalize(); diff --git a/Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_hot_carbon_3cm.hse b/Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_hot_carbon_3cm.hse new file mode 100644 index 000000000..59535b887 --- /dev/null +++ b/Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_hot_carbon_3cm.hse @@ -0,0 +1,1050 @@ +# npts = 1024 +# num of variables = 24 +# density +# temperature +# pressure +# hydrogen-1 +# helium-4 +# carbon-12 +# carbon-13 +# nitrogen-13 +# nitrogen-14 +# nitrogen-15 +# oxygen-14 +# oxygen-15 +# oxygen-16 +# oxygen-17 +# oxygen-18 +# fluorine-17 +# fluorine-18 +# fluorine-19 +# neon-18 +# neon-19 +# neon-20 +# magnesium-22 +# magnesium-24 +# iron-56 + 1.5 12023043.0457 100000000 9.47083557764e+23 1e-10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 + 4.5 11982290.0518 100000000 9.42438525809e+23 1e-10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 + 7.5 11941617.9174 100000000 9.37809249617e+23 1e-10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 + 10.5 11901026.5836 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