From 0c30678427e17a8972e8d28e6094e442930cf059 Mon Sep 17 00:00:00 2001 From: Pim Nelissen Date: Tue, 27 Jan 2026 19:22:43 +0100 Subject: [PATCH] Add blank Landscape to which to add Sources and Path --- demo/demo.ipynb | 148 ++++++++++++++++++++++++++++++++++++++-- pyproject.toml | 2 +- src/pg_rad/landscape.py | 103 ++++++++++++++++++++++++++++ src/pg_rad/objects.py | 38 +++++++++++ 4 files changed, 285 insertions(+), 6 deletions(-) create mode 100644 src/pg_rad/landscape.py create mode 100644 src/pg_rad/objects.py diff --git a/demo/demo.ipynb b/demo/demo.ipynb index 4ce90ba..accea10 100644 --- a/demo/demo.ipynb +++ b/demo/demo.ipynb @@ -20,7 +20,9 @@ "from matplotlib import pyplot as plt\n", "\n", "from pg_rad.dataloader import load_data\n", - "from pg_rad.path import path_from_RT90" + "from pg_rad.path import path_from_RT90\n", + "from pg_rad.landscape import Landscape\n", + "from pg_rad.objects import Source" ] }, { @@ -33,7 +35,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "id": "5a0e470a", "metadata": {}, "outputs": [], @@ -52,7 +54,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "id": "2ec97553", "metadata": {}, "outputs": [ @@ -60,12 +62,12 @@ "name": "stdout", "output_type": "stream", "text": [ - "2026-01-27 14:50:24,540 - INFO: Piecewise regression reduced path from 105 to 4 segments.\n" + "2026-01-27 19:21:09,113 - INFO: Piecewise regression reduced path from 105 to 4 segments.\n" ] }, { "data": { - "image/png": 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oc1y/fv2M7t27G4ZhGCNHjjRCQ0NtykeMGGEAxrlz5wzDMIzRo0cb9evXt6nz4YcfGhUrVrT+HhwcbLzyyisZxrlhwwbDz8/PSEpKstl/8803G59++qlhGIYRFhZmPPPMMzbljRs3Tnfeq61Zs8YAjDlz5lj3nTlzxihatKjxv//9z+5xbdu2NYYNG2b9/d577zWee+65DNv+5ZdfrPuWLFliADaflatl9Fm6Iqvf33qy40gNGsDYsZlW6cEs3uIVAAbzMYtoZ1vhqafg4kUHBSgiIhlp1qwZkZGRbN68md69e9O3b1+6dOkCmItRJyYmcv/99+Pr62vdvv76aw4fPgzA3r17rYtXXxEWlrX1E6+IiYnh1KlTNG/ePMPyP/74g4SEBEqVKmUTx5EjR3IljqvrlSxZkho1arD33+4VqampvPnmm9StW5eSJUvi6+vLihUrOH78eJbavrLsE/y33mWMAwfmOHUG5ULh+edh2TJYvdpulZcZy1Eq8QX96cYc1nEvtxFhFu7ZAy++CB9/nEcBi4g4ho9P1udNXb8e2rS5fr2lS+Gee7J27uwoVqyY9XXR9OnTqV+/Pl9++SX9+vUj4d+LWLJkCTfddJPNcdlZl9HNzQ3jmvdrV14TARQtWjTT4xMSEggKCmLt2rXpygICArIcR068++67TJo0iYkTJ1K3bl2KFSvGkCFDuHTpUpaO9/T0tP7ZYjH7rKal2Vtq6cbpyY6jubnBzJlQooTdKhbgE56hJctJpBjtWMxRKv5XYfJk8/9oEZF8zGKBYsWytj3wAJQvbx5jr62QELNeVtqz105WuLm58fLLL/Pqq69y8eJFQkND8fb25vjx41StWtVmu9IvpVatWtb+K1ds2rTJ5vcyZcoQHR1tk/BERkZa/1y8eHEqVarEqlWrMozr1ltvJTo6Gg8Pj3RxlC5d2hrH5s2bM43DnqvrnTt3jgMHDlCrVi0AfvvtNzp06MBjjz1G/fr1qVKlCgcOHLA53svLi1RHzxOQRUp28kL58td9neVJCnN5mPpEcppA2rCUcwT8V6FvXzh92rFxioi4CHd3mDTJ/PO1icqV3ydONOvlhYceegh3d3emTJlC8eLFeeGFFxg6dCgzZ87k8OHD/P7773z88cfMnDkTgKeffpqDBw8yfPhw9u/fz6xZs5gxY4ZNm02bNuXvv/9mwoQJHD58mClTprBs2TKbOmPGjOH999/no48+4uDBg9bzALRo0YKwsDA6duzIzz//zNGjR9m4cSOvvPIK27ZtA+C5555j+vTpfPXVVxw4cIDRo0eze/fuLF3zG2+8wapVq9i1axd9+vShdOnSdOzYEYBq1aqxcuVKNm7cyN69e3nqqac4fc13VKVKldi8eTNHjx7ln3/+ceiTm+vKtEdPIeGwDspXu3TJMKpXv24vupMEG+U5boBh3MsaIwmv/8pbtDCMlBTHxSgikksy61SaHd9/bxjly9v+VRkSYu53lN69exsdOnRIt3/cuHFGmTJljISEBCMtLc2YOHGiUaNGDcPT09MoU6aM0bJlS2PdunXW+osWLTKqVq1qeHt7G02aNDGmT59u00HZMAxj6tSpRkhIiFGsWDGjV69exttvv23TQdkwDGPatGnW8wQFBRmDBw+2lsXHxxuDBw82goODDU9PTyMkJMTo0aOHcfz4cWudt99+2yhdurTh6+tr9O7d23jxxRez1EF50aJFRu3atQ0vLy+jUaNGxh9//GGtc+bMGaNDhw6Gr6+vUbZsWePVV181evXqZXPf9u/fb9xxxx1G0aJFDcA4cuSIte2r78H27dut5RnJjQ7KFsO4kQF5BUN8fDz+/v7ExcXh5+fnuBMtWAD/dnDLzA7qcje/ch4/evAt39Dzv1l4xowBTWwlIi4uKSmJI0eOULlyZYoUKXJDbaWmwoYNEBUFQUHQpEnePdEpjNauXUuzZs04d+6cw/v+ZEVmn6Wsfn/rNVZe6tQJstALvh47+Z4ueHCZ73iM13jzv8LXX4dffnFgkCIirsXdHZo2he7dzZ9KdCS7lOzkJYvFHFWVhf9T7+cXPuNJAN7mVb6gn1lgGOac6ddOKSoiIiIZUrKT1xo2hFGjslS1LzN4jTcAeJpprOABs+Dvv6FdOzh/3lFRiohIIdW0aVMMw3CJV1i5RcmOM7z8Mtx5Z5aqvs5oevI1qXjQlflEUt8s+OMP6NYNUlIcGKiIiEj+p2THGTw84NtvoXjx61a1AF/wBPexigSK05YlnKC8Wbh0qbk4jPqYi4iL0hgYuVG58RlSsuMslSubkwVmgReX+Z4u1GYXp7iJtiwhjn97nX/yiWZXFhGXc2WG3MTERCdHIvndlc/Q1bMuZ5eGnpOHQ8+vZRjQpw98/XWWqh+jAnewiWiCuJ+fWUJbPEkxOzyvWAF21k8REXGGqKgoYmNjKVu2LD4+PtZlAUSywjAMEhMTiYmJISAgwLqG1tWy+v2tZAcnJjsAFy5Ao0bmGlhZ8Du3cA/ruYAvfZnOl/Qz5+ApWRK2bTOfGImIuADDMIiOjiY2NtbZoUg+FhAQQGBgYIbJspKdbHBqsgOwdy/cdhtk8XHvUlrTnkWk4c7rjGLUlXl46tWD334DX18HBisikj2pqak2C1yKZJWnpyfumUzXomQnG5ye7IDZYblnzyxX/5QneZpPAZhJL3rxjVnQuDH88AMEBjogSBEREdehGZTzm8ceg0GDslz9KT5jBOMB6MeXrKaZWbB5M9x+O/z+uyOiFBERyXeU7LiSDz+ENm2yXH0sL9ON2aTgSWcWsJtQs+DkSbj7bpg/30GBioiI5B9KdlyJhwfMmQP162epuhsGX9GXu9lAHAG0Zhmn+Le3+sWL8NBD8Mor5ip6IiIihZSSHVdTvDgsXgzBwVmqXoRkfqQDNdjHCSrQjsUkUOy/CmPHmk+LzpxxUMAiIiKuTcmOKypfHhYtgqJFs1S9JOdYShvKEMN2buUR/kcKV/Ve//lnc00u9eMREZFCSMmOq7r1VvjyyyxXr8IRFtOOoiSylLYMYjI2w+yOHTPX41q4MNdDFRERcWVKdlxZ9+4wfHiWqzdiK7PpjoU0PuVpJvCibYXkZHj4YViyJJcDFRERcV1KdlzduHHQsmWWq3fgJyYyBICXeIc5PGJbISUFHn0UDh7MxSBFRERcl5IdV+fuDrNnQ4MGWT7kWT5mKB8A0JuZrKeJbYX4eOjQARIScjFQERER16RkJz8oUQJ++QXuuSfLh7zHC3Tmey7hTUd+YB81bCvs3QshIRqlJSIiBZ6SnfyiVClYuRKeeCJL1d0w+JbHuINwzlGSNizlNGVtK8XGQtmyMHEiXLqU6yGLiIi4AiU7+YmXF3z2GUyaBG7X/09XlCR+4kFu5hBHqMKD/EQi1wxnT0uDoUOhbl1YscJBgYuIiDiPU5OdqVOnUq9ePfz8/PDz8yMsLIxly5ZZy5OSkhg4cCClSpXC19eXLl26cPr0aZs2jh8/Ttu2bfHx8aFs2bIMHz6clJSUvL6UvGOxwLPPwtKl4O9/3epl+IeltKEkZ9hCYx5lFqkZ/Wc/cABatTJHf2ltWBERKUCcmuyUL1+e8ePHExERwbZt27jvvvvo0KEDu3fvBmDo0KEsWrSIefPmsW7dOk6dOkXnzp2tx6emptK2bVsuXbrExo0bmTlzJjNmzGDUqFHOuqS807IlbNsGdepct2p1DvITD+JNEj/SkaF8iN105r334PXXczVUERERpzJcTIkSJYwvvvjCiI2NNTw9PY158+ZZy/bu3WsARnh4uGEYhrF06VLDzc3NiI6OttaZOnWq4efnZyQnJ9s9R1JSkhEXF2fdTpw4YQBGXFyc4y7MURISDKN7d8Mwn8dkus2lq/XXDxhiv67FYhirVjn7ykRERDIVFxeXpe9vl+mzk5qaypw5c7hw4QJhYWFERERw+fJlWrRoYa1Ts2ZNKlSoQHh4OADh4eHUrVuXcuXKWeu0bNmS+Ph469OhjIwbNw5/f3/rFhIS4rgLc7RixeC778xOxtfxEPN5lxcAGMb7fE/njCsaBvTqBWfP5mKgIiIizuH0ZGfnzp34+vri7e3N008/zcKFCwkNDSU6OhovLy8CAgJs6pcrV47o6GgAoqOjbRKdK+VXyuwZOXIkcXFx1u3EiRO5e1F5zWKB556DLLy+G8b7PMMUDNx4jG8J546MK/71F3TqpP47IiKS7zk92alRowaRkZFs3ryZAQMG0Lt3b/bs2ePQc3p7e1s7RV/ZCoTRo80VzjNhASbxHO1YRBJFeZCfOMTNGVdevx7uv9+chFBERCSfcnqy4+XlRdWqVWnYsCHjxo2jfv36TJo0icDAQC5dukRsbKxN/dOnTxMYGAhAYGBgutFZV36/UqdQcXODb7+FKlUyreZBKnPoRkO28Q9laM0y/qFUxpVXrTIXJY2IcEDAIiIijuf0ZOdaaWlpJCcn07BhQzw9PVm1apW1bP/+/Rw/fpywsDAAwsLC2LlzJzExMdY6K1euxM/Pj9DQ0DyP3SWUKAGLFpmTEGaiGIksph0VOcohqtGBH7lIkYwrHz4MYWEwZYoDAhYREXEspyY7I0eOZP369Rw9epSdO3cycuRI1q5dS48ePfD396dfv348//zzrFmzhoiICPr27UtYWBh33GH2M3nggQcIDQ2lZ8+e/PHHH6xYsYJXX32VgQMH4u3t7cxLc67QUPMVVP36mVYL5DTLaE0A59jIXfRmJmlYMq58+TIMGmT2C1I/HhERyUecmuzExMTQq1cvatSoQfPmzdm6dSsrVqzg/vvvB+DDDz+kXbt2dOnShXvuuYfAwEAWLFhgPd7d3Z3Fixfj7u5OWFgYjz32GL169eKNN95w1iW5jtBQ2LoVPvrIfNpjRy328QMd8eQS83iYEbyTebtvvgnTpuVysCIiIo5jMQz9Mz0+Ph5/f3/i4uIKTmflq509CwMGwNy5dqt8x6M8xncATGYgA/nEfnseHmZfnmwsTCoiIpLbsvr97XJ9dsQBSpaE//0PXn7ZbpUezOItXgHgWT5iEe3st5eSAl27wvHjuR2piIhIrlOyU5i89RZ07Gi3+GXG8gSfk4Y73ZjDNhrab+vvv815eBITcz9OERGRXKRkpzCxWODzzyEoKONi4BOeoSXLSaQY7VjMUSrab+/33+Hxx9VhWUREXJqSncKmdGlzxXQ7nZY9SWEeD1GfSE4TSBuWco4A++39739aOFRERFyakp3CqEEDWLkSbropw+LiJLCEtpTnBHsJpRMLScbLfnuvvw5z5jgmVhERkRukZKewatgQIiOhbdsMi2/iFEtoS3HiWUdTHme6/Tl4APr2hS1bHBOriIjIDVCyU5iVLg0//QTvvWcOJ79GPXbyPV3w4DKz6MFrvGm/raQk6NwZzpxxYMAiIiLZp2SnsHNzg2HDYPVqyGDW6fv5hc/pD8BYXuFznrDf1l9/Qb9+6rAsIiIuRcmOmJo0gU8/zbCoDzMZhdkJeQBTWU5L++38+CNMneqICEVERHJEyY78p3dveO65DIvGMIZezCQVDx5iHpFksu7W889rlXQREXEZSnbE1nvvwX33pdttAT6nP/exigSK05YlnKB8xm0kJ0PTpuYQdxERESdTsiO2PDxg3jyoVi1dkReX+Z4u1GYXp7iJNiwlDjtrkSQkQPv2MGWKgwMWERHJnJIdSa9kSVi8GAIC0hUFEMdS2hDEKXZRl67M5zLpR3IBkJYGgwbBkCGQmurQkEVEROxRsiMZq14d5s8Hd/d0RRU4wRLaUowEfuF+nuQzMh1/NWkS9OwJly87LFwRERF7lOyIfc2bw0cfZVh0C5HM5WHcSWEGfXmT1zJva/Zsc+HQixcdEKiIiIh9SnYkcwMGQNeuGRa1YRlTGAjAaN5gJr0yb2vJEmjVCuLjcztKERERu5TsSOYsFvjsM6hQIcPip/iMEYwH4Am+YBXpR3LZWL8ewsJg69bcjlRERCRDSnbk+kqUgFmzzNmWMzCWl+nGbFLwpDML2EXtzNvbswfuuANeeslcZkJERMSBlOxI1tx1F7z9doZFbhjMoA9NWE88/rRhKacIyry9tDR45x245RYID3dAwCIiIiYlO5J1I0bA0KEZFnlziR/oSA32cYIKtGMxCRS7fpv79sHdd8MHH2hNLRERcQglO5J1Fgu8/745y7LFkq64JOdYShvKEMN2buVh5pJC+qHr6aSlmYuRjhyphEdERHKdkh3JHovFTEy+/x6KFk1XXIUjLKYdRUlkGW0YyJTM5+C52jvvmGtzpaXlasgiIlK4KdmRnOnUyRxZFRiYrqgRW5lNdyyk8RlP8Q4jst7uxx+bbavjsoiI5BIlO5Jzt90GmzZluI5WB35iEuYK6iMZz2y6Zb3dn34yh7rPnKllJkRE5IYp2ZEbU7EibNgA9eqlKxrMZIbyAQB9mMF6mmS93b//hj59oG5dc9mKlJRcClhERAobJTty48qVg7VrzckCr/EeL9CZ77mENx35gX3UyF7be/fCQw9B+fJmf57Nm9WJWUREskXJjuSOEiVg5Upo2dJmtxsG3/IYdxDOOUrSmmWcpmz22z992lyn6447oGpVeO012L07l4IXEZGCzGIY+mdyfHw8/v7+xMXF4efn5+xw8rfUVHjzTXMCwqtePf1NacII5zBVuZ0t/EJzfqchUQQRRBRN2IA7ORiFVbs2PPywudWsmYsXIiIiri6r399KdlCy4xDbt0PfvvDHH9ZdB6lKGOGcoTRFuEgS/w1dL88JJvEcnVmY83PWrQv33mu+Vitb9r+fgYEQEgIeHjdyRSIi4mKU7GSDkh0HuXQJxo83n/T8+5RnLC/xCmMB20kJLf8+1ZlP1xtLeOzx9jZHj911l7ndeSeULp375xERkTyjZCcblOw42LZt0Lo1qf+cpRJHOUl5rk12wEx4ynOSI1TO2Sut7KpRw0x6WrSA+++HMmUcf04REck1SnayQclOHti9m7VNXqPZuQXXrXorETRiC9U4aN2q8CdeXHZcfBaL+eSnVStza9RIr71ERFyckp1sULKTN2Z/GMWjz19nNXQ73EilIsdsEqArWyWO4kkuz8Pj5gZ+fuDvb7v5+ppbsWK2m4+P+aqsSBHz55U/Fy1qTpAYGJjhemIiIpJzWf3+1j9dJc8E3ZK1RGcE4/EgxSalSaA4R6jCEarwM7bD291JoTJHqMqhdIlQRY7hQQ5mYU5Lg9hYc8sNZcpAs2bQvLm5Vami5EdEJI/oyQ56spNXUlOhUiX46y8Dw8h6nx0DOE25DJ7pVOMQVUmkmN1zenKJyhzJ8IlQCCfypm9QRipUMJOfkBAoVQpKlvzvZ0CA+UTo2idF7llYQV5EpBDRa6xsULKTdxYsgK5dzT9f/cnL6WgsAzhFcIaJ0GFuthnefi0vkrmZw1TjYLqnQuU5iVvW12vPGx4eGb8q8/Y2X7lVqmQu21G/vrmpw7WIFHD5ItkZN24cCxYsYN++fRQtWpQ777yTd955hxo1/ltSoGnTpqxbt87muKeeeopp06ZZfz9+/DgDBgxgzZo1+Pr60rt3b8aNG4dHFjuYKtnJWwsWmCs/nDz5376Qon8z8eJTuTrsPA0Lf3GT3UToEt52jy3CRWsidO0WzKkMxpK5oKAgM+mpW9cceVa9uvmzTBm9QhORAiFfJDutWrWiW7du3H777aSkpPDyyy+za9cu9uzZQ7Fi5quJpk2bUr16dd544w3rcT4+PtaLSk1NpUGDBgQGBvLuu+8SFRVFr1696N+/P2PHjs1SHEp28l5qqrl+aFSU+Z3cpAm4R2yBCRPMVc8vO3DkFZCKGycIyTAR+pMqpOBp91gfLtg8Cbr6z4FEu34i5O9vJj41a8Itt0DDhubP4sWdHZmISLbki2TnWn///Tdly5Zl3bp13HPPPYCZ7DRo0ICJEydmeMyyZcto164dp06doly5cgBMmzaNESNG8Pfff+Pl5ZXumOTkZJKTk62/x8fHExISomTHVZw5A99/D7NmwTVP9fJCCu4co6K1T9DVidARKpOaSb9+X85n2FG6Ggcpw9+umwhZLGYC1LChOQS/UyfztZiIiAvLl8nOoUOHqFatGjt37qROnTqAmezs3r0bwzAIDAykffv2vPbaa/j4+AAwatQofvrpJyIjI63tHDlyhCpVqvD7779zyy23pDvPmDFjeP3119PtV7Ljgk6cgDlzzMTnqv/GznIZD45SKcMnQseoSBr2OxH7EZfuqCuJUSnOuF4i1LQpjB5t/hQRcUH5LtlJS0vjwQcfJDY2ll9//dW6/7PPPqNixYoEBwezY8cORowYQaNGjViwwJyc7sknn+TYsWOsWLHCekxiYiLFihVj6dKltG7dOt259GQnnzpwAObNg7lzYccOZ0eTTjJeHKFyhonQCUIwcLN7bADnMnwaVI2DlCA27y4iIw8+aL5evKovnYiIK8h3yc6AAQNYtmwZv/76K+XLl7dbb/Xq1TRv3pxDhw5x88035yjZuZb67ORD+/aZic/335uJj2t8jO1Kwps/qZJhOnOSkEyPLcU/GSZBVTmEP/G5El8qbmygif1V6D084OmnzSc9WlNMRFxEvppUcNCgQSxevJj169dnmugANG7cGMCa7AQGBrJlyxabOqdPnwYgMDDQMQGL89WsCa+9Zm7nz5tPfWJizO306f9+7t1rvv5KzcHEgrmoCMmEspdQ9qYrS6Qoh7k5w0QoimDOUJozlGYTYemOLUOM3SdCvlzIUmwL6MRzTLJJutKtQp+SApMnw9dfw1tvwcCB5izTIiL5gFOTHcMwGDx4MAsXLmTt2rVUrlz5usdc6ZsTFGTOxhsWFsbbb79NTEwMZcuWBWDlypX4+fkRGhrqsNjFhRQvbnastSchAbZsgd9+M7eNG80EyUX4cJG67KIuu9KVJVDM2kn62s7Spwnkb8ryN2XZyF3pjg0kyu4TIR8uAmai05X56WYU+oub6Mr89PMexcfDs8+arxKnT4dq1XLzVoiIOIRTX2M988wzzJo1ix9//NFmbh1/f3+KFi3K4cOHmTVrFm3atKFUqVLs2LGDoUOHUr58eevcO1eGngcHBzNhwgSio6Pp2bMnTzzxhIaeS8YuX4bNm2H5cnOLiHB2RDkST/F0CdCV7R8yn1AwmL+oykEiuI0LFCNHq9AXKQJvv21OmqTZnUXECfJFnx2LnYnNvvrqK/r06cOJEyd47LHH2LVrFxcuXCAkJIROnTrx6quv2lzUsWPHGDBgAGvXrqVYsWL07t2b8ePHa1JByZqYGPj5Z1i7FnbvNl9/xcWZm5Nff+VULP52Xm5V4xwls9XWGprSlEymAAgLg6++UgdmEclz+SLZcRVKdiRDhgGJif8lPufPw4UL6beEBEhKguRk25+xseZrs7//dvaV2DhLCQ5Sja/pxScMvG79WXSnO3Myr+TjA5MmQb9+mp1ZRPJMvuqgLOKSLBYoVszcgoNz1oZhwK5dsGoVrF5tPj1ycn+hkpyjMVu4SNEsJTveJF2/0cRE6N/ffC342WfmgqYiIi5CT3bQkx3JQykp8OefcPQonD1rzhZ99c+zZ83E4dqnRFf/TE6GS5duOJRU3KjEUf7iJjtzABmABX/O8Q4v0Z/Ps7Y4avny8O23cO+9NxyjiEhm9BorG5TsSL6TlmYmPMnJZqK0cyf88Ye5RUaaCVUWXBmNBdgkPBbSMIDKHOUIVQBozCam8TQN+CNrMfbrB2PHwr+jJEVEcpuSnWxQsiMFTny8OfHigQPmtn//f39OTLSpmtE8OyEcZyJDeJCf+IRneJW3OI8fbqTyHJN4ndEUJ+H6cfj7w5tvwoAB5sSEIiK5SMlONijZkUIjLQ2OHTOH21/ZVq687gzKpwhiKB8yl0cAuImT/046uCBra3rVrQtTppjL24uI5BIlO9mgZEcKNcOAb74x58w5cCDTqit4gGf4hD+5GYA2LGEyg6jM0eufx2KBESPMGZg1L4+I5IKsfn9rvneRws5igV69zFFjH30EpUrZrdqSn9lFHV7jDTy5xFLaEsoexjKSS3hmfh7DgPHjoVMnp49IE5HCRcmOiJg8PWHwYDh0CJ56ym61oiTxBqPZSV3uYxVJFOUVxtKASNaShRFYixbBnXeaI9JERPKAkh0RsRUQANOmwS+/QKVKdqvV4AC/0IJv6UFZTrOXUJqxlt7MIOY6y1Wwaxfcfjv8+muuhi4ikhElOyKSsebNzSHtA+1PPGgBejCLfdTkaaZiIY2v6U1N9vEZ/UnLrPvyP/+Y55hzndmZRURukJIdEbHP1xcmTzZngL7pJrvVShDLVJ4hnDAasJ1zlOQpPuNufuUP6tlv/9Il6N4dJkww+/SIiDiAkh0Rub777jMnLOzYMdNqjdnCVm7nQ4bgy3nCuZOGRDCM90igmP0DR4yAQYPy7cKrIuLalOyISNaUKgULFsDUqVCkiN1qHqQyhEnsoyZdmUcqHnzAMGqxl4V0tL/gxCefQOfO6SY9FBG5UUp2RCTrLBZ4+mlzMsJGjTKtehOnmMfDLKU1lfmTk4TQmYW0ZxFHqJTxQT/9BC1amGuEiYjkEiU7IpJ9oaEQHg5ffAGlS2datTXL2UUdXuEtPLnEEtpRm92MZ0TGc/OEh8Pdd8OJEw4KXkQKGyU7IpIzbm7mYp8HDpjz87jZ/+vEh4u8xWv8QX2asoaL+DCS8dzCdtaTwRISe/eac/Hs2ePACxCRwkLJjojcmBIlzJmXt2+H2rUzrVqLfazmPr6mJ2WIYQ+1uZf19GU6f3PNE6KTJ81XZZMmqeOyiNwQJTsikjvq1YONG6Ft20yrWYCefMs+avIU0wCYQV9qso8v6Gc7N8+FCzBkCNx1lzkRoYhIDijZEZHc4+cHP/4IL7xw3aolOcc0BhDOHdQnkrOUoj9f0IQN7KSObeXNm+HWW2HYMDhyxEHBi0hBpWRHRHKXuzu8+y5Mnw4eHtetfgeb2cZtfMBQipHARu7iFrYznAm2c/NcvgwffAA33wzt28Py5ZCW5sALEZGCQsmOiDhG376wdCkUL37dqh6kMpSJ7KUWnfmeVDx4j+GEsocfedC2smHA4sXQujXUqGHO8Jyc7KCLEJGCQMmOiDjO/ffDhg0QHJyl6iGc5Hu6spi2VOIIJ6hAR37kQX7kGBXSH3DokDkSrE4dWL8+l4MXkYJCyY6IOFb9+rBpk5mQZFFblrKb2oxkLJ5cYhEPEsoeJjCcy2TwauzQIbj3XjPxSUjIxeBFpCBQsiMijhcSYj7hueeeLB/iw0XG8gqRNOAe1pFIMUYwgVvYzgbuzvigyZPNUWGrV+dS4CJSECjZEZG8ERAAK1ZAp07ZOiyUvaylKTPoTWn+Zjd1uIcNPM6X/EOp9AccOQLNm8PAgVpnS0QAJTsikpeKFIF58+DJJ7N1mAXozdfsoyb9+QyAr3icGuxnOn1t5+a54pNP4JZbYOvWXAhcRPIzJTsikrfc3WHaNHj99WwfWoqzfMZT/Mad1GUHZylFP6ZzL+vYRQazNx84YC478dZbkJKSC8GLSH6kZEdE8p7FAqNGmUPTy5fP9uF3Ek4EDXmPYRQjgV9pwi1sZwTjuYCPbeWUFHjtNbO/0J9/5tIFiEh+omRHRJyndWvYvRueeSbbh3qSwjA+YA+hdGQhKXgygRGEsoefaJ/+gPBwuO02WLkyFwIXkfxEyY6IOJefH0yZYo7WqlEj24dX4AQL6cxPtKciRzlORTrwEx1ZyHFCbCufOwetWsF775mTE4pIoaBkR0Rcw913Q2QkvPFGlmZdvlZ7FrOb2rzEODy4zI90pBZ7eZcXbOfmSUuD4cPhjjtg//7ci19EXJaSHRFxHUWKmP1rTpyASZOgevVsHV6MRMbxMpE0oAnrSaQYL/Iut/I7v3GnbeUtW6BmTWjaFL78EmJjc+0yRMS1WAxDz3Lj4+Px9/cnLi4OPz8/Z4cjIlekpcGqVeZrrkWLsrXwpwHMpDcv8B5nKA1AP77gHUZQirPpD/D2NvsQtW0LbdpkeYkLEXGerH5/K9lByY5IvrBnDzz+OGzenK3DzlCSEbzDlzwBQCn+4T1eoDczM5qd5z8NGvyX+DRubA6ZFxGXktXvb73GEpH8ITQUfvvN7FxcpEiWDyvFWb6gP79yF3XYyRlK05cZ3Ms6dhNq/8DISHj7bbjrLrj5Znj/fbh48cavQ0TynFOTnXHjxnH77bdTvHhxypYtS8eOHdl/TYfBpKQkBg4cSKlSpfD19aVLly6cPn3aps7x48dp27YtPj4+lC1bluHDh5OiCcRECh53dxg2DP74w0xCsuEuNvI7tzKB4fhwgQ3cQwMiGclYEima+cHHjsELL0Dt2rB48Q1cgIg4g1OTnXXr1jFw4EA2bdrEypUruXz5Mg888AAXLlyw1hk6dCiLFi1i3rx5rFu3jlOnTtG5c2dreWpqKm3btuXSpUts3LiRmTNnMmPGDEaNGuWMSxKRvFC9OqxbB+PGgadnlg/zJIXhvMceQunAD6TgyXhGEsoeFtP2+g0cOQLt20PHjuafRSR/MFxITEyMARjr1q0zDMMwYmNjDU9PT2PevHnWOnv37jUAIzw83DAMw1i6dKnh5uZmREdHW+tMnTrV8PPzM5KTk7N03ri4OAMw4uLicvFqRCRPREQYRq1ahmHOnJOt7UfaGxU4at3Vie+N45TPehvNmxvGxx8bxp49hpGW5uw7IVLoZPX726X67MTFxQFQsmRJACIiIrh8+TItWrSw1qlZsyYVKlQgPDwcgPDwcOrWrUu5cuWsdVq2bEl8fDy7d+/O8DzJycnEx8fbbCKST916K0REwODB2T70QRaxh1Be5B08uMxCOlOLvbzP87Zz89izapV53tBQc9mLnj3h++8hOTkHFyIijuIyyU5aWhpDhgzhrrvuok6dOgBER0fj5eVFQECATd1y5coRHR1trXN1onOl/EpZRsaNG4e/v791CwkJybCeiOQTRYvCRx/B3Lng43P9+lcpRiLv8BK/cyt38SsX8OUF3uc2thHOHVlv6NQp+PZb6NoVKleGiRMhMTF71yEiDuEyyc7AgQPZtWsXc+bMcfi5Ro4cSVxcnHU7ceKEw88pInngoYdg40aoVCnbh9ZlF+u5hy95nJKcYQf1uZNwnuRTzlIie41FRcHQoWbS8+67kJCQ7XhEJPe4RLIzaNAgFi9ezJo1ayh/1QrIgYGBXLp0idhrZjY9ffo0gYGB1jrXjs668vuVOtfy9vbGz8/PZhORAqJ+fdi2De67L9uHumHwOF+xnxo8zpcAfM6T1GA/X9OTbE9KFhMDL75oJl/jxsFVgy9EJO9kKdm5tn9LVrasMAyDQYMGsXDhQlavXk3lypVtyhs2bIinpyerVq2y7tu/fz/Hjx8nLCwMgLCwMHbu3ElMTIy1zsqVK/Hz8yM0NJM5NESk4CpVClasMJ+q5OAfM6U5w5c8wXqaUJtd/EMZevM1zVjDXmpmP54zZ+Dll6FqVfj0U7h8OfttiEiOZWkGZTc3NyyWTOcatW3UYuHAgQNUqVIl03rPPPMMs2bN4scff6TGVasd+/v7U7SoOe/FgAEDWLp0KTNmzMDPz4/B/3ZC3LhxI2AOPW/QoAHBwcFMmDCB6OhoevbsyRNPPMHYsWOzFK9mUBYpwP7+Gz75xOxPc+hQtg+/hCcfMpTXGc1FfPDkEi/wHq/yFj7kcJLB6tVh7Fjo3Bmy8XeriNjK1eUi3Nzc+P77762jpDJjGAZt2rRh165d10127CVQX331FX369AHMSQWHDRvG7NmzSU5OpmXLlnzyySc2r6iOHTvGgAEDWLt2LcWKFaN3796MHz8eD48sjKZAyY5IoWAY5uKf334Lc+bAP/9k6/CjVGQwH7OY9gBU4ghTGEgbluU8psaNzY7Md2SjI7SIWOVqslO5cmW2bdtGqVKlsnTyOnXqsGzZsnwzyknJjkghc/kyLF8OCxbA0qVm35osMIAf6cCzfMQJKgDQhflMZAjl+StnsVgs8Pzz8NZb2VoGQ0S0EGi2KNkRKcTS0uD332HJEjPx2brVfAqUiQSK8Tqj+ZChpOKBL+d5g1EM5mM8SM1ZHLVqwddfw2235ex4kUJIC4GKiGSFm5uZYIweba6ofuCAudJ5Jny5wLu8yO/cShgbSaA4z/Mht7GNTTTOWRx795qvs8aMUQdmkVyWoyc7W7duZc2aNcTExJCWlmZT9sEHH+RacHlFT3ZExIZhwA8/wHPPwXXm4UrDwnQe50UmcI6SWEjjST5jHCMpQWzOzl+7Nnz8MTRrlrPjRQoJh73GGjt2LK+++io1atSgXLlyNp2MLRYLq1evznnUTqJkR0QydOECjB8PU6bAuXOZVv2b0rzIBGbQF4AyxPABz9OD78jxeKuHHoL33oMKFXLagkiB5rBkp1y5crzzzjvW0VIFgZIdEclUYqLZmfnnn831sE6dslt1HfcwgKnsxZznqxmr+YRnqMn+nJ27aFF46SUYPtz8s4hYOazPjpubG3fdddcNBScikq/4+MBjj5kdiE+ehH37zKc9nTqBp6dN1XtZTyQNGMdLFCWRNdxHPXbwKm9ykRyMtrp40exPFBoKP/543c7TIpJetpOdoUOHMmXKFEfEIiLi+iwWqFEDnnnGfNpz6JD5Zy8vaxUvLvMS77Cb2rRhCZfx4m1epQ67WE7LnJ336FHo2BFat4b9OXxKJFJIZfs1VlpaGm3btuXAgQOEhobiec2/ahYsWJCrAeYFvcYSkRv2118wYQJ89hkkJVl3G8BCOvEckziJOfdYV+YxkSHchP3XYZny9DQXGn3tNfD1zYXgRfInh73GevbZZ1mzZg3Vq1enVKlS+Pv722wiIoXSTTfBpEnmk57+/c0h7YAF6MxC9hDK87yPOynM5yFqso9JPEsK7tk/1+XLZmLVoAFERubmVYgUSNl+slO8eHHmzJlD27ZtHRVTntOTHRHJdXv3mot//vCDze4/qMfTTGMT5mLGDdjOpzxFI7bm7DxFi8JXX8Ejj9xgwCL5j8Oe7JQsWZKbb775hoITESnwatWChQvht9/g1lutu+uzg9+4i095khKcJZJbuINNPMMUYsnB0/GLF6FbN3PEVmoOZ28WKeCyneyMGTOG0aNHk5iY6Ih4REQKljvvhE2b4PXX4d/Fid0weJLP2UdNejETAzem8gw12M93PEqOxlu98w60b3/d+YBECqNsv8a65ZZbOHz4MIZhUKlSpXQdlH///fdcDTAv6DWWiOSJ33+HXr1g926b3WtoyjN8wj5qAXAfq/iEZ6jBgeyfo2JFc1V3raQuhUBWv789sttwx44dbyQuEZHC69ZbISICRo2C99+3vnZqxlr+oD7v8QJv8hqraU49djCCdxjJOIqSdJ2Gr3LsGDRpAm+/DS+8YO0oLVKYadVz9GRHRJxg50549llYu9Zm959UZhCTWYa5GOnNHGIKA2nJz9k/R6tWMHMmlC2bCwGLuB6tei4i4srq1oXVq2HuXAgJse6uwhGW0Jb5dCGYvzhMVVqxgkeYwymCsneO5cvNRUVnzdLMy1KoZSnZKVmyJP/880+WG61QoQLHjh3LcVAiIoWCxWIu9rl3L7z6Knh7m7uBLixgHzUZwoe4kcpcHqEm+/iIwaRm59+p//wDPXpAu3Zw/LhjrkPExWXpNZabmxszZ87M8qSB3bt3Z+fOnVSpUuWGA8wLeo0lIi7hzz/NmZF/+slm93Ya8DTT2EJjAG4lgmk8ze1sy177xYrBuHEwcKD68kiBkKurnrvl4H+KQ4cOKdkREcmJ5cvhuefgwH+jsVJx43P6M5JxxFICC2k8wye8xasEEJe99h94AGbPhpIlczlwkbyVq3120tLSsr3ll0RHRMTltGpldmB+6y3rExh30niaT9lHTR7jGwzcmMIgarKP2XTL3tw8P/8Mt99unkOkENBzTBERV+TlBa+8AitWQIkS1t3liOEberGK+6jOfk4TyKPM5gF+5iBVs97+n39CWBh8/70DghdxLUp2RERcWYsWsG0b1Kljs/s+1rCDerzJq3iTxC/cTx12MYbRJOGdtbYvXICuXc2kKiXFAcGLuAYlOyIirq5KFQgPNxOTq3hziVd5m93UpiXLuYQ3rzOGuuxkJS2y3v7YsXDXXXDwYC4HLuIaspzsnDp1ypFxiIhIZnx9zTl5Jk82X3Fd5Wb+ZBmtmctDBHGKQ1TjAVbSnVlEEZi19rdsgQYN4LPPNCePFDhZTnZq167NrFmzHBmLiIhkxmIxh41v2gTVqtkWAQ8xn33U5Dkm4kYqc+hOTfYxmYFZm5snMRGeego6dIC//nLMNYg4QZaTnbfffpunnnqKhx56iLNnzzoyJhERycwtt5hrbPXoka7Ij/NMZChbuZ3b2UI8/gxmMo3ZTAS3Zq39RYugZk344AO4fDmXgxfJe1lOdp555hl27NjBmTNnCA0NZdGiRY6MS0REMlO8OHzzDXz9tc1orStuZTvhhDGFZ/AnlghuoxFbGMxHxJGF+cQSEmDYMHPx0g0bHHABInknRwuBTp48maFDh1KrVi08PGwXTv/9999zLbi8okkFRSRfO33anITwf//LsDiacgzjfWZhPgkKJIqJDOFh5mLJ6jl69YJ339WiouJScnUG5asdO3aMvn37smvXLp566ql0yc7o0aNzFrETKdkRkQLhp5/gmWfs9rdZxX0MYCoHqQ7A/fzMJzxDVQ5nrf2AAHj7bbNfj7t7LgUtknMOSXY+//xzhg0bRosWLfj0008pU6ZMrgTrbEp2RKTAiI83k5E5czIsTsKbCbzIWF4mmSJ4k8TLjGUE7+DNpaydo2FDmDrVnIVZxIlydbkIgFatWjFixAgmT57MggULCkyiIyJSoPj5waxZ8M475uitaxQhmVG8yS7qcD8/k0wRRvMGddnJLzTP2jkiIqBxYxgwwEyuRFxclpOd1NRUduzYQa9evRwZj4iI3CiLBV58EZYuNV89ZaAqh1lBS+bwCIFEcZDq3M8v9OBboil3/XMYBkybBvXqwZo1uRu/SC7LcrKzcuVKypcv78hYREQkN7VqZU4WeM1SE1dYgEeYyz5qMpiPcCOVWfSgJvv4hAFZm5vn2DG47z6zg3RiYu7GL5JLtFyEiEhBVq0abN0KQ4bYreJPPB/xHJtpTEO2EUcAA/mEMML5nVuydp6PPjLn/9m0KXfiFslFSnZERAq6IkXgww9h5UoIDrZb7TYi2ExjJjMQP+LYSiNuZyvPMZF4il//PAcOmGtsjR8PaWm5eAEiN0bJjohIYdGiBezcCQ8/bLeKO2kM5BP2UZNuzCYNdz7iOWqyj7k8xHWH76alwciR5pITmm1fXIRTk53169fTvn17goODsVgs/PDDDzblffr0wWKx2GytWrWyqXP27Fl69OiBn58fAQEB9OvXj4SEhDy8ChGRfKRkSXNY+pw5EBRkt1oQ0czmUX7mfqpykCiCeYS5tGYZh6ly/fMsXmzOvrx1ay4GL5IzTk12Lly4QP369ZkyZYrdOq1atSIqKsq6zZ4926a8R48e7N69m5UrV7J48WLWr1/Pk08+6ejQRUTyL4sFHnkE9u2DoUMznSDwfn5hJ3UZzRi8SGYFrajDLt7iFZLxsnscYHZevvtuc9SWiBPlaLkIR7BYLCxcuJCOHTta9/Xp04fY2Nh0T3yu2Lt3L6GhoWzdupXbbrsNgOXLl9OmTRtOnjxJcCbvpq+mSQVFpFDbscOcefm33zKtdoBqDGQKv3A/ADXYxyc8w31kYej5s8+aC4tq5mXJRbk+qaCzrF27lrJly1KjRg0GDBjAmTNnrGXh4eEEBARYEx2AFi1a4ObmxubNm+22mZycTHx8vM0mIlJo1asH69fDV19BJhPGVucgP/MAs+lGOaLZT02as5qefM1prrNm1kcfQceO5gKjInnMpZOdVq1a8fXXX7Nq1Sreeecd1q1bR+vWrUlNTQUgOjqastcsSufh4UHJkiWJjo622+64cePw9/e3biEhIQ69DhERl+fmBn36wP795szIGcy+DObcPN34H/uoyUAmYyGNb+lJTfYxjadIy2xp0cWLoUkTOHnSIZcgYo9LJzvdunXjwQcfpG7dunTs2JHFixezdetW1q5de0Ptjhw5kri4OOt24sSJ3AlYRCS/K1ECPvkENm+Gq56aXyuAOCYzmM005lYiiKUEA5hGGOFsp4H99iMjzfl45s41Z2EWyQMunexcq0qVKpQuXZpDhw4BEBgYSExMjE2dlJQUzp49S2BgoN12vL298fPzs9lEROQqt99uThA4caI5T4+9amxjC434iMEUJ54tNOY2tjGUDziPb8YH/fOP2UG6a1c4fdox8YtcJV8lOydPnuTMmTME/TtcMiwsjNjYWCIiIqx1Vq9eTVpaGo0bN3ZWmCIiBYO7u7kMRGSkufCnvWqkMZjJ7KMmjzCHNNyZyFBqsZf5dLE/N8+CBRAaai5cqqc84kBOTXYSEhKIjIwkMjISgCNHjhAZGcnx48dJSEhg+PDhbNq0iaNHj7Jq1So6dOhA1apVadmyJQC1atWiVatW9O/fny1btvDbb78xaNAgunXrluWRWCIich01asCvv8LYseDpabdaMFHMoTvLacnNHOIvyvMQ82nLEv6kcsYHnT0LPXrAE0/ApUsOugAp9AwnWrNmjQGk23r37m0kJiYaDzzwgFGmTBnD09PTqFixotG/f38jOjrapo0zZ84Y3bt3N3x9fQ0/Pz+jb9++xvnz57MVR1xcnAEYcXFxuXl5IiIFT2SkYVSvbhjmsxi7WyJFjNd43fAiyQDDKEKi8RYvG0l42T+ubVvDuHjR2Vco+UhWv79dZp4dZ9I8OyIi2RAfD/37m52Mr2M/1XmGT1hNcwBqspepDKAp6zI+oHlz+PFHKFYsNyOWAqrAzLMjIiIuxs/PXG7i448zfa0FUIMD/EILvuNRynKafdSiGWvpxUxiyGBOn1WroFUrM6ESySVKdkREJPssFhg0CDZsgExGv4I5N8+jzGYfNRnAJ1hI4xt6UZN9fEb/9HPz/PqruWjpP/84Ln4pVJTsiIhIzjVubM7JU7fudauWIJZPGMgm7uAWfuccJXmKz7iL3/iDeraVt24119U6dsxBgUthomRHRERuTIUK5tOYVq2yVL0RW9lCIybyHMWJZxNhNCSCYbxnOzfP/v1w552wc6eDApfCQsmOiIjcOD8/WLTIXFA0CzxI5Tk+Yi+1eIi5pOLBBwwjlD0soNN/c/OcOmUuMbEmC4uNitihZEdERHKHhwdMmQLffmsuO5EFN3GKuTzCUlpTmT85SQhdWEB7FnGESmaluDhzlNbIkZqLR3JEyY6IiOSuHj1g927o0CHLh7RmObupzau8iSeXWEI7arObcbzEJTzBMEgdP4G1tQcy+92TrF0L/64JLXJdmmcHzbMjIuIQhmEOUR80yJwpOYv2UYMBTGUtzQCoxR66M4vPeIqThFjrlS9vMGmShc6dcz1yySey+v2tZAclOyIiDhUVBS1bZqujsQF8Rw+e5wP+puxVe/8bpm4hDSwW5s9XwlNYaVJBERFxDUFBZgfjhg2zfIgFeIzv2EMtipHAtYkOgIEbGAZDnkggNaXQ/7tdMqFkR0REHK9UKXN25DvvzNZhu6jLBXy5NtG5wsCNE+d82XD3SPMJkkgGlOyIiEje8PeHFSvMkVVZFEVQ1uptPgYNGkB4eA6Dk4JMyY6IiOQdX19YsgQefjhL1YPI2tOaIKIgJgaaNcvSAqVSuCjZERGRvOXtDbNnm6O0rqMJGyjPCbMzcoYMyhFFEzaYvyYnwyOPwNix5mgwEZTsiIiIM7i5wUcfwdtvZ1rNnTQm8RxABgmP2Wn5Mp6cIti26JVX4PHHNQmhAEp2RETEWSwWePllmDkTihSxW60zC5lPV27iL5v9N/EX5TnOWUrTmmXE4m974IwZ0LmzEh5RsiMiIk7WqxdERJgdjO3ozEKOUok1NGUW3VlDU45Rkd+4myBOsZs6dGIhyXjZHnilf9Dly469BnFpSnZERMT5QkNh82Z46SXziU8G3EmjKevozhyasg530qjACZbShuLEs5Zm9GEGadcOU//xR+jeXQlPIaZkR0REXIOXF4wbB+vWQcWKWT6sAX/wPV3w4DJz6M5IxqWv9P338NhjkJKSiwFLfqFkR0REXEuTJrBjh9nBOIvu5xemY9afwAgmMzB9pblzoV07iI/PrUgln1CyIyIirsfPD778EhYtgsDALB3Sk295m5cBeJaPWEjH9JVWrIC77oJjx3IxWHF1SnZERMR1tWsHu3ZBt25Zqj6ScTzFNAzceJRZbCQsfaVdu6BxY9i6NZeDFVelZEdERFxbqVLmJISffQbu7plWtQCTGUQ7FpFEUdqziP1UT1/x9Gm4915zvS4p8JTsiIhI/tC/PyxbZr7iyoQHqcyhG7ezhbOUojXLOE3Z9BUvXoQHH4Q//nBQwOIqlOyIiEj+cf/9sHHjdUdrFSORxbSjCoc5QhXasoQEiqWvmJgIHTvCmTOOiVdcgpIdERHJX2rXhk2boGbNTKuV5W+W04rS/E0Et/EI/yOFDF6DHT1qTjyoYekFlpIdERHJfwIDYfVqqJ5Bf5yrVOMQi2lHURJZSlue4RMyXB509Wp46iktLVFAKdkREZH8KSjITFJuvjnTao3Zwhy64UYqn/Mkb/NKxhWnTzeHpR8+7IBgxZmU7IiISP51002wZg1UrpxptQdZxGQGAfAabzGD3hlX3LYNbr3VnIBQCgwlOyIikr+FhMCGDXDLLZlWG8A0Xvp3KYn+fM4KHsi4Ynw8PPIIDB6sfjwFhJIdERHJ/266Cdavh/btM632Nq/Qg29JwZOuzGc7DexXnjzZnMxQ/XjyPSU7IiJSMPj6wsKFMGSI3SpuGEznce5jFQkUpw1LOUYF+21+/z107gxJSbkfr+QZJTsiIlJwuLvDhx/C22/breLFZRbQmbrsIJogWrOMs5Sw3+aSJeYTowsXHBCw5AUlOyIiUvCMHAmPPmq32J94ltKG8pxgL6F05AeS8Lbf3i+/QOvWSnjyKSU7IiJS8Fgs8PnnmXZaLs9fLKM1/sSygXvoxdekYbHf5oYNZh+etDQHBCyOpGRHREQKJh8f+OEHKFPGbpU67GYhnfDkEvN4mBd4L/M2Fy+GN9/M3TjF4Zya7Kxfv5727dsTHByMxWLhhx9+sCk3DINRo0YRFBRE0aJFadGiBQcPHrSpc/bsWXr06IGfnx8BAQH069ePhISEPLwKERFxWRUqmBMPlitnt0oz1jKDPgB8yPN8yJDM2xwzxkx6JN9warJz4cIF6tevz5QpUzIsnzBhAh999BHTpk1j8+bNFCtWjJYtW5J0Va/4Hj16sHv3blauXMnixYtZv349Tz75ZF5dgoiIuLo6dcy1tBo1slvlUWbzDi8CMIz3mUfXzNt87DE4dCg3oxRHMlwEYCxcuND6e1pamhEYGGi8++671n2xsbGGt7e3MXv2bMMwDGPPnj0GYGzdutVaZ9myZYbFYjH++usvu+dKSkoy4uLirNuJEycMwIiLi8v9CxMREdeQnGwYL7xgGJDhlgbGQD42wDC8uWis5267dQ0wjEqVDOPQIWdfVaEWFxeXpe9vl+2zc+TIEaKjo2nRooV1n7+/P40bNyY8PByA8PBwAgICuO2226x1WrRogZubG5s3b7bb9rhx4/D397duISEhjrsQERFxDV5e8O675lDyUqXSFVuASTxHRxaSTBE68CN7yWRl9aNH4e67Ydcuh4UsucNlk53o6GgAyl3znrVcuXLWsujoaMqWLWtT7uHhQcmSJa11MjJy5Eji4uKs24kTJ3I5ehERcVlt2sDvv2e4Yro7acziUcLYyDlK0pplRBFov63oaLjnHtiyxYEBy41y2WTHkby9vfHz87PZRESkEKlQwVxeok6ddEVFSeInHqQaBzhGJdqyhPP42m/r3Dlo3lwJjwtz2WQnMNDMpE+fPm2z//Tp09aywMBAYmJibMpTUlI4e/astY6IiEiGypWDtWvNVc6vUZozLKcVZTnNdm7lIeZxGQ/7bSUkmLMsR0U5Ll7JMZdNdipXrkxgYCCrVq2y7ouPj2fz5s2EhYUBEBYWRmxsLBEREdY6q1evJi0tjcaNG+d5zCIiks+UKgWrVkGtWumKqnCExbTDhwusoBVP8hlGZm3FxEDfvpp00AU5NdlJSEggMjKSyMhIwOyUHBkZyfHjx7FYLAwZMoS33nqLn376iZ07d9KrVy+Cg4Pp2LEjALVq1aJVq1b079+fLVu28NtvvzFo0CC6detGcHCw8y5MRETyj4AAcwHR4sXTFd3ONubyMG6kMoO+jGFM5m2tWGGuli6uJY9Gh2VozZo1BpBu6927t2EY5vDz1157zShXrpzh7e1tNG/e3Ni/f79NG2fOnDG6d+9u+Pr6Gn5+fkbfvn2N8+fPZyuOrA5dExGRAmzhQrvDzD+lv/XXz+mX+ZB0b2/D2LHD2VdTKGT1+9tiGEamT+UKg/j4ePz9/YmLi1NnZRGRwuzVV+2umP4ab/AWr+FOCj/xIG1YZr+doCBYvhzq1XNQoAJZ//522T47IiIiee71183FPjPwBqPozQxS8eAh5rGNhvbbiYoyh6SvW+egQCU7lOyIiIhc4e4O33wDvXqlK7IAn9Of+/mZRIrRliX8SWX7bcXFQcuWsGCB4+KVLFGyIyIicjUPD/jqKxg8OF2RJynMpysN2E4M5WjNMv4h/WzMVsnJ8NBDSnicTMmOiIjItdzcYNIkGDUqXZEf51lCWypwjAPU4EF+4iJF7LeVlgY9esAffzgwYMmMkh0REZGMWCxmH56ePdMVBRPFMloTwDnCuZMefEdqZl+pSUnmE574eAcGLPYo2REREcnM5MlQOX3fnFD28iMd8CKZhXRmCBMzn3Tw4EF44glzgLrkKSU7IiIimfHzMzstu6X/yryHDXyD+eRnMoN5n2GZtzVvniYddAIlOyIiItdz110wZkyGRQ8zjw8YCsBw3mMOj2Te1pAhMGtW7sYnmVKyIyIikhWvvmqufZWBoUxkCB8C0JuZrOVe++2kpZn9gObOdUSUkgElOyIiIllhscAXX8Czz2ZY/D7D6Mo8LuFNR35gF7Xtt5WWBo8+Ct9/76Bg5WpKdkRERLLKzQ0mToRx49IXYfANPbmbDcQRQGuW8ReZLEqdmmrO1rx0qePiFUDJjoiISPZYLPDSS/Dll+k6LRchmR/pQE32cpIQ2rCUODJZczElBR5+GCIjHRtzIadkR0REJCcefxzGjk23uyTnWEZrAoliB/XpwvdcwtN+OxcuQNu2cPKkA4Mt3JTsiIiI5NTw4Waico1KHGMJbfHlPKtoQT++zHwOnlOnoH17OH/eYaEWZkp2REREcsrNDWbOhAoV0hXdynbm0xV3UviWnrzKW5m3FRlp9uFJSXFMrIWYkh0REZEbUaqUOYzc2ztdUUt+5nP6AzCWV5jGU5m3tXQpPP20ZlnOZUp2REREblTjxjBnjrli+jX6MoPXMRcUHcgUfqJ95m19+aW5JpfkGiU7IiIiuaFjR5g9G9zd0xW9xpv04wvScKcbc9hMo8zbev11+Owzx8RZCCnZERERyS1du8J336Ubkm4BpjKA1izlIj60YzGHuDnztgYMgCVLHBdrIaJkR0REJDc98gh8/bU5H89VPElhLg9zKxH8QxlasZy/KW2/nbQ0eOwxOHrUsfEWAkp2REREcluPHvD+++l2+3KBJbSlEkc4TFXasZhEitpvJzbWnHTw0iXHxVoIKNkRERFxhCFD4Jln0u0O5DTLaUVJzrCFxnRjDimk7+djtXWrOZ+P5JiSHREREUewWGDSJGjdOl1RDQ6wiPYU4SKLeJDBfJz5pIMffWS+GpMcUbIjIiLiKB4e8L//Qf366YruJJzv6IGFNKYxgPG8lHlbffqYw9Il25TsiIiIOFLx4uZkgRnMstyZhUziOQBeZhzf8Jj9dgwDnngCPv7YUZEWWEp2REREHC04GJYvhxIl0hUNZjIv8C4AjzOdX2ieeVvPPgsTJjgiygJLyY6IiEheqFULFi+GIkXSFb3DCB5hDil40pkF/EG9zNsaMQKmTXNQoAWPkh0REZG8cued8O236Xa7YTCT3tzLWs7jRxuWcoLymbc1eDCsX++gQAsWJTsiIiJ5qUsXeP75dLu9ucQPdKQ2uzjFTbRmGbH4228nJcWcsfn4cQcGWzAo2REREclr48fDHXek2x1AHEtpQzB/sZs6dOQHkvGy387ff5trciUmOi7WAkDJjoiISF7z9DSHpJcsma6oAidYShuKE886mtKHGaRhyaCRf23fbg5LT011XLz5nJIdERERZ6hQAebMMefiuUZ9drCAznhwmTl05yXGZ97WvHnw3HPm8HRJR8mOiIiIs9x/P8yenWHC04JVTOdxAN7lRT5mUOZtTZkCb77piCjzPSU7IiIiztS1KyxcCF7p++b05Fve5mUAnmMSC+mYeVujR8PUqQ4IMn9TsiMiIuJs7dqZc/AUTb8C+kjG8RTTMHDjUWaxkbDM2xo4EH7+2UGB5k8uneyMGTMGi8Vis9WsWdNanpSUxMCBAylVqhS+vr506dKF06dPOzFiERGRHLr/fnOWZW9vm90WYDKDaM9PJFGU9ixiP9Xtt2MY0LMnxMQ4Nt58xKWTHYDatWsTFRVl3X799Vdr2dChQ1m0aBHz5s1j3bp1nDp1is6dOzsxWhERkRtwzz3w2WfpdnuQymy604jNnKUUrVlGNOXstxMTA48/rg7L/3L5ZMfDw4PAwEDrVrp0aQDi4uL48ssv+eCDD7jvvvto2LAhX331FRs3bmTTpk1OjlpERCSHevWCIUPS7S5GIotoz80c4ghVaMdiEihmv50lS7SkxL9cPtk5ePAgwcHBVKlShR49enD835kiIyIiuHz5Mi1atLDWrVmzJhUqVCA8PDzTNpOTk4mPj7fZREREXMa770Lz9AuCluVvltOK0vxNBLfxMHNJwd1+O88/D5GRjoszn3DpZKdx48bMmDGD5cuXM3XqVI4cOUKTJk04f/480dHReHl5ERAQYHNMuXLliI6OzrTdcePG4e/vb91CQkIceBUiIiLZ5OFhTjpYPX3fnKocZjHtKEoiy2jDAKZi92VVUhK0agWHDjk0XFfn0slO69ateeihh6hXrx4tW7Zk6dKlxMbGMnfu3Btqd+TIkcTFxVm3EydO5FLEIiIiuaRUKVixAoKD0xU1Zgtz6IYbqXxBf97iVfvtnD5tdn7+6y8HBuvaXDrZuVZAQADVq1fn0KFDBAYGcunSJWJjY23qnD59msDAwEzb8fb2xs/Pz2YTERFxOZUqmQlPiRLpih5kEZP/nWhwFG8yg9722zl6FFq2hLNnHROni8tXyU5CQgKHDx8mKCiIhg0b4unpyapVq6zl+/fv5/jx44SFXWcOAhERkfyiTh27c/AMYBojGQtAfz5nBQ/Yb2f3bujc2VwtvZBx6WTnhRdeYN26dRw9epSNGzfSqVMn3N3d6d69O/7+/vTr14/nn3+eNWvWEBERQd++fQkLC+OODFaSFRERybfuvBM+/TTDord5hcf4hhQ86cp8fucW++2sWwfvvOOgIF2XSyc7J0+epHv37tSoUYOHH36YUqVKsWnTJsqUKQPAhx9+SLt27ejSpQv33HMPgYGBLFiwwMlRi4iIOMBjj0G3bul2W4Av6UdzfiGB4rRlCUepaL+dN96AffscF6cLshiGZhyKj4/H39+fuLg49d8RERHXFRsL9epBBgNr4vCjCRvYST1qspffuIuSnMu4nTvvhA0bwM2ln3lcV1a/v/P3VYqIiBQmAQHwzTdgsaQr8ieepbShPCfYRy068CNJeKdvA2DjRnOV9EJCyY6IiEh+cu+9dvvdlOcvltEaf2L5lSb05BvSSJ8YAfDiixAR4cBAXYeSHRERkfzmhRdg6NAMi+qwm4V0wotk5vMQL/Bexm0kJUGnToViwVAlOyIiIvmNxQLvvQe9M55bpxlrmUEfAD7keT5kSMbtnDgBXbvCpUuOidNFKNkRERHJj9zc4IsvoEOHDIu7M4cJDAdgGO8zj64Zt7Nhg7mGVgGmZEdERCS/8vCAWbOgatUMi1/gPQbxMQZuPMa3rKdJxu1MmWLO1FxAKdkRERHJz3x84PPPMyyyABMZQkcWcglvOvAje6iVcTtDhhTY2ZWV7IiIiOR3TZvCU09lWOROGrN4lDA2EksJWrOMUwSlr7hvn92kKb9TsiMiIlIQvPMO3HRThkVFSeInHqQaBzhORdqyhPP4pq84ejTExzs40LynZEdERKQg8PeH774Dd/cMi0tzhuW0oiynieQWujKfy3jYVvr7b+jRo8CNzlKyIyIiUlDcey98+KHd4iocYQlt8eECP9OSJ/mMdGtGLV5srsF1+bJDQ81LSnZEREQKkkGDoG9fu8W3EcE8HsKdFGbQl9G8nr7SwoXmE54C0mFZyY6IiEhBYrHAJ59A48Z2q7RhGVMZAMCbjOJznkhfad48s9NzAVgvXMmOiIhIQVOkCHz1ld3+OwD9+YLXeAOAAUxlCW3SV5o+vUCM0FKyIyIiUhDVqgX9+2da5XVG05sZpOLBw8xlGw3TVxo6FPbvd1CQeUPJjoiISEE1Zgz4ZjDE/F8W4HP6cz8/k0gx2rKEP6lsWykxMd+P0FKyIyIiUlCVKwevvpppFU9S+J4uNGA7MZSjFcv5h1K2lSIiYMSIfNt/R8mOiIhIQfbCC9CsWaZVipPAUtpQgWMcpDoP8hOJFLWtNHEiPPsspKU5LlYHUbIjIiJSkLm7w//+B6GhmVYLIprltCKAc4RzJz34jtRr04TJk6F7d0hOdmDAuU/JjoiISEFXpgysXg01a2ZarRb7+IkH8SKZH+jEc0xKP+ng3LnQtm2+WlZCyY6IiEhhUK6cmfBUq5ZptSb8yrc8BsAUBvEeL6SvtGqV+Wrs9GlHRJrrlOyIiIgUFkFBsGaN3QVDr3iI+XzAUABe5F1m0y19pd9/h7vugsOHHRFprlKyIyIiUpjcdBN8840503ImhjKRIZjrbPVmJmtomr7S4cNw552wfbsDAs09SnZEREQKm2bNzFFa1/E+w+jKPC7jRScWsova6SvFxJgLkK5dm/tx5hIlOyIiIoXRm2/CLbdkWsUNg2/oyd1sII4AWrOMk2TwCuz8eWjdGpYvd1CwN0bJjoiISGHk7Q1z5kDJkplWK0IyP9KBmuzlJCG0YSlx+KWvmJQEDz4IP/zgmHhvgJIdERGRwqp6dViyBPz9M61WknMsozWBRLGTenRmAZfwTF/x8mXo2tVMolyIkh0REZHC7I47YMMGCA7OtFoljrGUNvhyntU053Gmp5+DByA1FR591JzI0EUo2RERESns6taFjRuhRo1Mq91CJPPpijspfMdjvMLbGVc0DOjVy1xTywUo2RERERGoWBF+/RUaNcq0Wkt+5nP6AzCOl5nK0xlXvHQJHnoIYmNzOdDsU7IjIiIiptKlzVmWW7XKtFpfZvA6owAYxGR+on3GFY8cMZ/wOHm1dCU7IiIi8p9ixeCnn+CxxzKt9hpv8gSfk4Y73ZjDJhpnXHHRIujQwamLhyrZEREREVuenjBzJgwbZreKBZjKANqwhIv40J5FHKRqxpUXLYLGjWH3bsfEex1KdkRERCQ9Nzd47z2YMMFuFQ9S+R+P0JBt/EMZWrOMGMpkXPmPP6BhQ5g4EdLSHBOzHUp2RERExL7hw+GTT+wW+3KBJbSlMn9ymKq0YzEX8Mm4cnIyDB0KLVvCX385KOD0lOyIiIhI5gYMgBkzzKc9GShHDMtoTUnOsJVGdGMOKbjbb++XX8zh7nPnOibeaxSYZGfKlClUqlSJIkWK0LhxY7Zs2eLskERERAqO3r1h9mxwzziJqcEBFtGeIlxkMe0ZxGRScGMt9zKbbqzlXlKvTjvOnYNHHoGePSEuzqGhF4hk53//+x/PP/88o0eP5vfff6d+/fq0bNmSmJgYZ4cmIiJScDz8MLz7rt3iOwlnFo9iIY1PeZpSnKEZa3mU2TRjLZU4ygI62R707bdQrx6sW+ewsAtEsvPBBx/Qv39/+vbtS2hoKNOmTcPHx4fp06c7OzQREZGCZcgQ6NjRbnEnfuBxvgQgngCbsr+4ia7MT5/wHD8O+/fnbpxXyffJzqVLl4iIiKBFixbWfW5ubrRo0YLw8PAMj0lOTiY+Pt5mExERkSywWOCrr6By5QyLU3FjBa0gg5WzjH/TjiFMtH2l1a4d9O/viGiBApDs/PPPP6SmplKuXDmb/eXKlSM6OjrDY8aNG4e/v791CwkJyYtQRURECoaAAJg/H3x90xVtoAknCcGciSc9AzdOUIENNDF3lCkDX3xhJlEOku+TnZwYOXIkcXFx1u3EiRPODklERCR/ufVWWLkS/P1tdkcRlKXDrfW+/BKueWCR2/J9slO6dGnc3d05ffq0zf7Tp08TGBiY4THe3t74+fnZbCIiIpJNd9wBmzaZkwX+K4ioLB0aRJT56qq9nXW1clG+T3a8vLxo2LAhq1atsu5LS0tj1apVhIWFOTEyERGRQqBmTdi4EV55BdzcaMIGynMCCxnPkmwhjRCO0+TmKPjggzwJMd8nOwDPP/88n3/+OTNnzmTv3r0MGDCACxcu0LdvX2eHJiIiUvB5ecFbb8H69bhXrsgkngNIl/Bc+X2i2/O4f/d1hn1+HKFAJDuPPPII7733HqNGjaJBgwZERkayfPnydJ2WRURExIHuugsiI+ncx5/5dOUmbJeEKM9J5tOVzq/VMRcGzSMWwzDSjw0rZOLj4/H39ycuLk79d0RERHLDggWkPvEUG87VJooggoiiCRtwb3Qb/PqrubL6Dcrq97fHDZ9JRERE5FqdO+N+xx00ffxxWDHH3OfjY86YnAuJTnYUiNdYIiIi4oKCg2HZMvj4YyhSBD78EKpVy/Mw9GRHREREHMdigUGDzCHmFSo4JQQlOyIiIuJ4FSs67dR6jSUiIiIFmpIdERERKdCU7IiIiEiBpmRHRERECjQlOyIiIlKgKdkRERGRAk1Dz4ErK2bEx8c7ORIRERHJqivf29db+UrJDnD+/HkAQkJCnByJiIiIZNf58+fx9/e3W66FQIG0tDROnTpF8eLFsVgsudZufHw8ISEhnDhxotAuMKp7oHsAugege1DYrx90DyD374FhGJw/f57g4GDc3Oz3zNGTHcDNzY3y5cs7rH0/P79C+8G+QvdA9wB0D0D3oLBfP+geQO7eg8ye6FyhDsoiIiJSoCnZERERkQJNyY4DeXt7M3r0aLy9vZ0ditPoHugegO4B6B4U9usH3QNw3j1QB2UREREp0PRkR0RERAo0JTsiIiJSoCnZERERkQJNyY6IiIgUaEp2HGjKlClUqlSJIkWK0LhxY7Zs2eLskBxizJgxWCwWm61mzZrW8qSkJAYOHEipUqXw9fWlS5cunD592okR37j169fTvn17goODsVgs/PDDDzblhmEwatQogoKCKFq0KC1atODgwYM2dc6ePUuPHj3w8/MjICCAfv36kZCQkIdXcWOudw/69OmT7nPRqlUrmzr5+R6MGzeO22+/neLFi1O2bFk6duzI/v37bepk5bN//Phx2rZti4+PD2XLlmX48OGkpKTk5aXkWFbuQdOmTdN9Dp5++mmbOvn5HkydOpV69epZJ8kLCwtj2bJl1vKC/hmA698DV/gMKNlxkP/97388//zzjB49mt9//5369evTsmVLYmJinB2aQ9SuXZuoqCjr9uuvv1rLhg4dyqJFi5g3bx7r1q3j1KlTdO7c2YnR3rgLFy5Qv359pkyZkmH5hAkT+Oijj5g2bRqbN2+mWLFitGzZkqSkJGudHj16sHv3blauXMnixYtZv349Tz75ZF5dwg273j0AaNWqlc3nYvbs2Tbl+fkerFu3joEDB7Jp0yZWrlzJ5cuXeeCBB7hw4YK1zvU++6mpqbRt25ZLly6xceNGZs6cyYwZMxg1apQzLinbsnIPAPr372/zOZgwYYK1LL/fg/LlyzN+/HgiIiLYtm0b9913Hx06dGD37t1Awf8MwPXvAbjAZ8AQh2jUqJExcOBA6++pqalGcHCwMW7cOCdG5RijR4826tevn2FZbGys4enpacybN8+6b+/evQZghIeH51GEjgUYCxcutP6elpZmBAYGGu+++651X2xsrOHt7W3Mnj3bMAzD2LNnjwEYW7dutdZZtmyZYbFYjL/++ivPYs8t194DwzCM3r17Gx06dLB7TEG7BzExMQZgrFu3zjCMrH32ly5dari5uRnR0dHWOlOnTjX8/PyM5OTkvL2AXHDtPTAMw7j33nuN5557zu4xBe0eGIZhlChRwvjiiy8K5Wfgiiv3wDBc4zOgJzsOcOnSJSIiImjRooV1n5ubGy1atCA8PNyJkTnOwYMHCQ4OpkqVKvTo0YPjx48DEBERweXLl23uRc2aNalQoUKBvRdHjhwhOjra5pr9/f1p3Lix9ZrDw8MJCAjgtttus9Zp0aIFbm5ubN68Oc9jdpS1a9dStmxZatSowYABAzhz5oy1rKDdg7i4OABKliwJZO2zHx4eTt26dSlXrpy1TsuWLYmPj7f5V3F+ce09uOK7776jdOnS1KlTh5EjR5KYmGgtK0j3IDU1lTlz5nDhwgXCwsIK5Wfg2ntwhbM/A1oI1AH++ecfUlNTbf7DAZQrV459+/Y5KSrHady4MTNmzKBGjRpERUXx+uuv06RJE3bt2kV0dDReXl4EBATYHFOuXDmio6OdE7CDXbmujP77XymLjo6mbNmyNuUeHh6ULFmywNyXVq1a0blzZypXrszhw4d5+eWXad26NeHh4bi7uxeoe5CWlsaQIUO46667qFOnDkCWPvvR0dEZfk6ulOUnGd0DgEcffZSKFSsSHBzMjh07GDFiBPv372fBggVAwbgHO3fuJCwsjKSkJHx9fVm4cCGhoaFERkYWms+AvXsArvEZULIjN6x169bWP9erV4/GjRtTsWJF5s6dS9GiRZ0YmThTt27drH+uW7cu9erV4+abb2bt2rU0b97ciZHlvoEDB7Jr1y6bvmqFjb17cHUfrLp16xIUFETz5s05fPgwN998c16H6RA1atQgMjKSuLg45s+fT+/evVm3bp2zw8pT9u5BaGioS3wG9BrLAUqXLo27u3u6HvenT58mMDDQSVHlnYCAAKpXr86hQ4cIDAzk0qVLxMbG2tQpyPfiynVl9t8/MDAwXWf1lJQUzp49W2DvS5UqVShdujSHDh0CCs49GDRoEIsXL2bNmjWUL1/euj8rn/3AwMAMPydXyvILe/cgI40bNwaw+Rzk93vg5eVF1apVadiwIePGjaN+/fpMmjSpUH0G7N2DjDjjM6BkxwG8vLxo2LAhq1atsu5LS0tj1apVNu8wC6qEhAQOHz5MUFAQDRs2xNPT0+Ze7N+/n+PHjxfYe1G5cmUCAwNtrjk+Pp7NmzdbrzksLIzY2FgiIiKsdVavXk1aWpr1L4KC5uTJk5w5c4agoCAg/98DwzAYNGgQCxcuZPXq1VSuXNmmPCuf/bCwMHbu3GmT9K1cuRI/Pz/rKwBXdr17kJHIyEgAm89Bfr4HGUlLSyM5OblQfAbsuXIPMuKUz0CudHOWdObMmWN4e3sbM2bMMPbs2WM8+eSTRkBAgE1v84Ji2LBhxtq1a40jR44Yv/32m9GiRQujdOnSRkxMjGEYhvH0008bFSpUMFavXm1s27bNCAsLM8LCwpwc9Y05f/68sX37dmP79u0GYHzwwQfG9u3bjWPHjhmGYRjjx483AgICjB9//NHYsWOH0aFDB6Ny5crGxYsXrW20atXKuOWWW4zNmzcbv/76q1GtWjWje/fuzrqkbMvsHpw/f9544YUXjPDwcOPIkSPGL7/8Ytx6661GtWrVjKSkJGsb+fkeDBgwwPD39zfWrl1rREVFWbfExERrnet99lNSUow6deoYDzzwgBEZGWksX77cKFOmjDFy5EhnXFK2Xe8eHDp0yHjjjTeMbdu2GUeOHDF+/PFHo0qVKsY999xjbSO/34OXXnrJWLdunXHkyBFjx44dxksvvWRYLBbj559/Ngyj4H8GDCPze+AqnwElOw708ccfGxUqVDC8vLyMRo0aGZs2bXJ2SA7xyCOPGEFBQYaXl5dx0003GY888ohx6NAha/nFixeNZ555xihRooTh4+NjdOrUyYiKinJixDduzZo1BpBu6927t2EY5vDz1157zShXrpzh7e1tNG/e3Ni/f79NG2fOnDG6d+9u+Pr6Gn5+fkbfvn2N8+fPO+Fqciaze5CYmGg88MADRpkyZQxPT0+jYsWKRv/+/dMl+/n5HmR07YDx1VdfWetk5bN/9OhRo3Xr1kbRokWN0qVLG8OGDTMuX76cx1eTM9e7B8ePHzfuueceo2TJkoa3t7dRtWpVY/jw4UZcXJxNO/n5Hjz++ONGxYoVDS8vL6NMmTJG8+bNrYmOYRT8z4BhZH4PXOUzYDEMw8idZ0QiIiIirkd9dkRERKRAU7IjIiIiBZqSHRERESnQlOyIiIhIgaZkR0RERAo0JTsiIiJSoCnZERERkQJNyY6IiIgUaEp2RKRAqVSpEhaLBYvFkm4Bxuxq2rSpta0r6/mISP6jZEdEXE5qaip33nknnTt3ttkfFxdHSEgIr7zySqbHv/HGG0RFReHv739DcSxYsIAtW7bcUBsi4nxKdkTE5bi7uzNjxgyWL1/Od999Z90/ePBgSpYsyejRozM9vnjx4gQGBmKxWG4ojpIlS1KmTJkbakNEnE/Jjoi4pOrVqzN+/HgGDx5MVFQUP/74I3PmzOHrr7/Gy8srW23NmDGDgIAAFi9eTI0aNfDx8aFr164kJiYyc+ZMKlWqRIkSJXj22WdJTU110BWJiLN4ODsAERF7Bg8ezMKFC+nZsyc7d+5k1KhR1K9fP0dtJSYm8tFHHzFnzhzOnz9P586d6dSpEwEBASxdupQ///yTLl26cNddd/HII4/k8pWIiDMp2RERl2WxWJg6dSq1atWibt26vPTSSzlu6/Lly0ydOpWbb74ZgK5du/LNN99w+vRpfH19CQ0NpVmzZqxZs0bJjkgBo9dYIuLSpk+fjo+PD0eOHOHkyZM5bsfHx8ea6ACUK1eOSpUq4evra7MvJibmhuIVEdejZEdEXNbGjRv58MMPWbx4MY0aNaJfv34YhpGjtjw9PW1+t1gsGe5LS0vLcbwi4pqU7IiIS0pMTKRPnz4MGDCAZs2a8eWXX7JlyxamTZvm7NBEJJ9RsiMiLmnkyJEYhsH48eMBc7LA9957jxdffJGjR486NzgRyVeU7IiIy1m3bh1Tpkzhq6++wsfHx7r/qaee4s4777yh11kiUvhYDP2NISIFSKVKlRgyZAhDhgzJlfaOHj1K5cqV2b59Ow0aNMiVNkUkb+nJjogUOCNGjMDX15e4uLgbaqd169bUrl07l6ISEWfRkx0RKVCOHTvG5cuXAahSpQpubjn/N91ff/3FxYsXAahQoUK2Z24WEdegZEdEREQKNL3GEhERkQJNyY6IiIgUaEp2REREpEBTsiMiIiIFmpIdERERKdCU7IiIiEiBpmRHRERECjQlOyIiIlKg/R9gBbWQG6TkkwAAAABJRU5ErkJggg==", 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", 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" ] @@ -86,6 +88,142 @@ "plt.legend()\n", "plt.show()" ] + }, + { + "cell_type": "markdown", + "id": "da8620fa", + "metadata": {}, + "source": [ + "## Making a landscape\n", + "\n", + "You can make a landscape with or without a path. Let's make an empty landscape." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "24f1159d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "landscape = Landscape()\n", + "fig, ax = landscape.plot()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "035b4f42", + "metadata": {}, + "source": [ + "## Adding a source" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "91019da5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_source = Source(x = 100, y = 100, z = 0, strength = 100)\n", + "landscape.add_sources(my_source)\n", + "\n", + "landscape.sources" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "7913fe1e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(
,\n", + " )" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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,\n", + " )" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "landscape.set_path(p2)\n", + "landscape.plot()" + ] + }, + { + "cell_type": "markdown", + "id": "17fec32f", + "metadata": {}, + "source": [] } ], "metadata": { diff --git a/pyproject.toml b/pyproject.toml index 7ca4f86..1b0ad50 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -7,7 +7,7 @@ where = ["src"] [project] name = "pg-rad" -version = "0.1.0" +version = "0.2.0" authors = [ { name="Pim Nelissen", email="pi0274ne-s@student.lu.se" }, ] diff --git a/src/pg_rad/landscape.py b/src/pg_rad/landscape.py new file mode 100644 index 0000000..601b360 --- /dev/null +++ b/src/pg_rad/landscape.py @@ -0,0 +1,103 @@ +from matplotlib import pyplot as plt +from matplotlib.patches import Circle +import numpy as np + +from pg_rad.path import Path +from pg_rad.objects import Source + +class Landscape: + def __init__(self, size: int | tuple[int, int, int] = 500, unit = 'meters'): + if isinstance(size, int): + self.world = np.zeros((size, size, size)) + elif isinstance(size, tuple) and len(size) == 3: + self.world = np.zeros(size) + else: + raise TypeError("size must be an integer or a tuple of 3 integers.") + + self.unit = unit + + self.path: Path = None + self.sources: list[Source] = [] + + def plot(self, z = 0): + """_Plot a slice of the world at a height z._ + + Args: + z (int, optional): Height of slice. Defaults to 0. + + Returns: + fig, ax: Matplotlib figure objects. + """ + x_lim, y_lim, _ = self.world.shape + + fig, ax = plt.subplots() + ax.set_xlim(right=x_lim) + ax.set_ylim(top=y_lim) + ax.set_xlabel(f"X [{self.unit}]") + ax.set_ylabel(f"Y [{self.unit}]") + + if not self.path == None: + ax.plot(self.path.x_list, self.path.y_list, 'bo-') + + for s in self.sources: + if np.isclose(s.z, z): + dot = Circle( + (s.x, s.y), + radius=5, + color=s.color, + zorder=5 + ) + + ax.text( + s.x + 0.06, + s.y + 0.06, + s.name, + color=s.color, + fontsize=10, + ha="left", + va="bottom", + zorder=6 + ) + + ax.add_patch(dot) + + return fig, ax + + def add_sources(self, *sources: Source): + """Add one or more point sources to the world.""" + + max_x, max_y, max_z = self.world.shape[:3] + + if any( + not (0 <= source.x < max_x and + 0 <= source.y < max_y and + 0 <= source.z < max_z) + for source in sources + ): + raise ValueError("One or more sources are outside the world boundaries.") + + self.sources.extend(sources) + + def set_path(self, path: Path): + self.path = path + +def create_landscape_from_path(path: Path, max_z = 500): + """_Generate a Landscape from a path, using its dimensions to determine + the size of the Landscape._ + + Args: + path (Path): _A Path object describing the trajectory._ + max_z (int, optional): _Height of the world_. Defaults to 500 meters. + + Returns: + _type_: _A Landscape with dimensions based on the provided Path._ + """ + max_x = np.ceil(max(path.x_list)) + max_y = np.ceil(max(path.y_list)) + + landscape = Landscape( + size = (max_x, max_y, max_z) + ) + + landscape.path = path + return landscape \ No newline at end of file diff --git a/src/pg_rad/objects.py b/src/pg_rad/objects.py new file mode 100644 index 0000000..27c7a08 --- /dev/null +++ b/src/pg_rad/objects.py @@ -0,0 +1,38 @@ +import math +from typing import Self + +class Object: + def __init__( + self, + x: float, + y: float, + z: float, + name: str = "Unnamed object", + color: str = 'grey'): + + self.x = x + self.y = y + self.z = z + self.name = name + self.color = color + + def distance_to(self, other: Self) -> float: + return math.dist( + (self.x, self.y, self.z), + (other.x, other.y, other.z), + ) + +class Source(Object): + def __init__( + self, + x: float, + y: float, + z: float, + strength: int, + name: str = "Unnamed source", + color: str = "red"): + + super().__init__(x, y, z, name, color) + + self.strength = strength + self.color = color \ No newline at end of file