food_energy_paper/ag_yields_graph/.ipynb_checkpoints/make_figure-checkpoint.ipynb
Nathan Moore b41f30b17f figures
2023-01-12 13:45:54 -06:00

580 lines
210 KiB
Plaintext

{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "41405f3d",
"metadata": {},
"outputs": [],
"source": [
"from matplotlib import pyplot as plt\n",
"import numpy as np"
]
},
{
"cell_type": "markdown",
"id": "dfc88764",
"metadata": {},
"source": [
"## General conversions \n",
"\n",
"Conversions\n",
"\n",
"Sunflower Seeds, sunflower seed kernels, dried\n",
"584kcal/100g\n",
"https://fdc.nal.usda.gov/fdc-app.html#/food-details/170562/nutrients\n",
"FDC ID: 170562\n",
"USDA Unit LB/acre\n",
" \n",
"Potatoes, flesh and skin, raw\n",
"https://fdc.nal.usda.gov/fdc-app.html#/food-details/170026/nutrients\n",
"77kcal/100g\n",
"FDC ID: 170026 \n",
"USDA Unit CWT/acre\n",
"1 CWT = 100lbs\n",
" \n",
"Wheat, hard red winter\n",
"FDC ID: 168890\n",
"327kcal/100g\n",
"https://fdc.nal.usda.gov/fdc-app.html#/food-details/168890/nutrients\n",
"USDA Unit BU/acre\n",
"60lb / BU https://www.plainsgrains.org/wp-content/uploads/2018/10/2017-HRWW-Report__HiRes-FINAL.pdf\n",
"\n",
"Corn grain, yellow\n",
"365kcal/100g\n",
"https://fdc.nal.usda.gov/fdc-app.html#/food-details/170288/nutrients\n",
"FDC ID: 170288 \n",
"USDA Unit BU/acre\n",
"Shelled, 56lbs/BU\n",
"\n",
"Soybeans, mature seeds, raw\n",
"446kcal/100g\n",
"https://fdc.nal.usda.gov/fdc-app.html#/food-details/174270/nutrients\n",
"FDC ID: 174270 \n",
"USDA Unit BU/acre\n",
"60LB/BU https://soybeanresearchinfo.com/research-highlight/exploring-the-impact-of-genetics-on-soybean-test-weight\n"
]
},
{
"cell_type": "markdown",
"id": "72029669",
"metadata": {},
"source": [
"## Corn"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "116f0267",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ nan, 2022. , nan, nan, nan, nan, nan, nan,\n",
" nan, nan, nan, nan, nan, 0. , nan, nan,\n",
" nan, nan, 172.3, nan],\n",
" [ nan, 2021. , nan, nan, nan, nan, nan, nan,\n",
" nan, nan, nan, nan, nan, 0. , nan, nan,\n",
" nan, nan, 176.7, nan],\n",
" [ nan, 2020. , nan, nan, nan, nan, nan, nan,\n",
" nan, nan, nan, nan, nan, 0. , nan, nan,\n",
" nan, nan, 171.4, nan]])"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"csv=np.genfromtxt ('./data/corn.csv',\n",
" skip_header=1,\n",
" delimiter=\",\")\n",
"csv[0:3]\n",
"#csv[0:3].astype(float)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "0db69a97",
"metadata": {},
"outputs": [],
"source": [
"corn_year=csv[:,1]\n",
"corn_bu_per_acre=csv[:,-2]\n",
"\n",
"grams_per_lbs=453.592\n",
"corn_lbs_per_bu=(56.0/1.0)\n",
"corn_kcal_per_gram=(365/100)\n",
"corn_kcal_per_acre = corn_bu_per_acre*corn_lbs_per_bu*grams_per_lbs*corn_kcal_per_gram"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "eb375958",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x1cfcd9fdc70>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(corn_year,corn_bu_per_acre,\"o\",label=\"corn\")\n",
"plt.xlabel(\"time (calendar year)\")\n",
"plt.ylabel(\"Corn, bu/acre\")\n",
"plt.title(\"US Agriculture yields, NASS (USDA)\")\n",
"plt.legend()\n",
"\n",
"#plt.show()\n",
"#plt.savefig(\"bear-quadratic.pdf\")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "9c6ffb7f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x1cfce31ca00>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjcAAAHFCAYAAAAOmtghAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8qNh9FAAAACXBIWXMAAA9hAAAPYQGoP6dpAABwb0lEQVR4nO3deVxU1fsH8M+wbzIKiAMuYJom4m6ZW+5bapmZpuZeuZv6a7PFpSxSy6zMpXL5lrkXiuWXUnFJxV1Kw3LDUBwiQQFR1jm/P2jmyzDbnWGGWfi8Xy965Z1775yDOPfhnOc8RyaEECAiIiJyEW72bgARERGRNTG4ISIiIpfC4IaIiIhcCoMbIiIicikMboiIiMilMLghIiIil8LghoiIiFwKgxsiIiJyKQxuiIiIyKUwuCGHMX/+fMhkMty6dUvv69HR0ejatavWsevXr2PKlClo1KgRfH19ERQUhGbNmuGFF17A9evXJb93XFwcZDIZgoODUVBQUJFuGKXuo61cu3YNMpkM69ev1xw7evQo5s+fjzt37tjsfW1t/fr1kMlkuHbtmk2v7dq1q87PmDV17doVMpkMffv21XlN/Xf34Ycf6r1Wys9oXl4eFi1ahBYtWiAwMBDVqlVDgwYNMHToUBw8eFDr3AsXLmDUqFF44IEH4OPjg5CQELRu3RrTpk1DTk6OpP688847iIqKgkqlktSHDz/8UOfvoqioCKtXr8bDDz+MoKAg+Pn5ISIiAk8++SRiY2N1vj/qL09PTwQHB+Phhx/GrFmz8Pvvvxtt6+zZsyGTyTBgwAC9r1+8eBFeXl44c+aMpL6TY2NwQ07rxo0baN26Nfbs2YPZs2dj9+7dWLt2LYYPH46TJ0/i6tWrku+1Zs0aAEBWVhZ27NhhoxYDzz//PBITE212f32OHj2KBQsWOHVw079/fyQmJiIsLMzeTbGKn376CQkJCWZdY+pntKSkBL1798Z7772HIUOGYNu2bdi+fTtmzZqF7Oxs/PLLL5pzz549izZt2iA5ORlz585FfHw8Vq1ahf79++Onn35CVlaWyfbcvHkTixcvxjvvvAM3N8sfJaNGjcL06dPRrVs3bNiwAbt27cJbb70FDw8P/PTTTzrnT58+HYmJiTh48CC++eYbDBo0CHFxcWjRogWWLFmi9z2KioqwYcMGAEB8fDzS0tJ0zmnUqBFGjhyJWbNmWdwXciCCyEHMmzdPABD//POP3tebNm0qunTpovnz3LlzBQBx9epVveeXlJRIel+lUik8PDxE9+7dhY+Pj+jVq5fZbTclLy/P6vfUJyUlRQAQ69at0xxbsmSJACBSUlKs+l737t0TKpXKqve0hXXr1knuf5cuXbR+xqytS5cuolGjRuKBBx4Qbdq00fr+qf/ulixZonOdlJ/RhIQEAUCsXbtW73uX/fcwevRo4e/vL3JycvSeK+Xv9dVXXxW1a9fWuq+xPgih+7N49epVAUDMnTvXZJuN3fvevXuib9++AoDYvXu3zuvbtm0TAET//v0FAPHee+/pfb9Tp04JAOLIkSMG+03OgSM35LQyMzPh5uaG0NBQva9L/W3yP//5D4qLizFr1iwMHjwY+/btw19//aVz3p07dzBhwgQEBQUhICAA/fv3x9WrVyGTyTB//nzNeeqppzNnzmDIkCGoUaMGGjRooPVaeRs3bkT79u0REBCAgIAAtGzZUvObOgBERkZi7NixOteZmkaZP38+XnnlFQBA/fr1NUP6Bw4cAACdtht6P/XUzs8//4zx48ejZs2a8PPz00yPbNmyBe3bt4e/vz8CAgLQp08fnD171mC7gNJpBg8PD8TExOi8dujQIchkMmzbtk3r/ctPLe3duxc9evRAYGAg/Pz80LFjR+zbt8/o+wKAEAKLFy9GREQEfHx80Lp1a/z3v//VOU+lUmHhwoVo3LgxfH19Ub16dTRv3hyffPKJyfcwxNPTE++99x5Onz6NLVu2SLpGys9oZmYmABgc3Sr77yEzMxOBgYEICAjQe66pqdPCwkKsWbMGI0aMqNCojTltNsbX1xdr1qyBp6en3tGbNWvWwMvLC+vWrUPdunWxbt06CD17Rrdp0wZNmjTBqlWrzOgFOSIGN+S02rdvD5VKhcGDB+Onn36SnCdQ3tq1axEWFoZ+/fph/PjxUKlUWjkrQOlDbuDAgdi4cSNee+01xMbGol27dnpzJ9QGDx6Mhg0bYtu2bUY/LOfOnYuRI0ciPDwc69evR2xsLMaMGaM3wDLX888/j+nTpwMAvv/+eyQmJiIxMRGtW7e26H7jx4+Hp6cnvvnmG2zfvh2enp54//33MXz4cERFRWHr1q345ptvkJubi86dOyM5OdngvSIjI/HEE09g1apVKCkp0Xpt+fLlCA8Px1NPPWXw+g0bNqB3794IDAzEf/7zH2zduhVBQUHo06ePyQBnwYIFeO2119CrVy/s2LEDkydPxgsvvIA///xT67zFixdj/vz5GD58OH788Uds2bIFEyZMqPAU37Bhw9CmTRu89dZbKCoqMnm+lJ/Rtm3bwtPTEy+99BK+/fZbKJVKg/dr3749lEolRo4ciYMHD+L+/ftmtf/48ePIzMxEt27dzLquvCZNmqB69epYsGABvvjiC4tyqtTCw8PRpk0bHD16FMXFxZrjN27cwM8//4wnn3wSNWvWxJgxY3D58mUcOnRI7326du2K//73v3qDH3Iidh45ItIwd1pKpVKJiRMnCjc3NwFAyGQy0aRJEzFr1izJUzCHDh0SAMTrr7+uuWf9+vVFRESE1tD8jz/+KACIlStXal0fExMjAIh58+bp9EPfULv6NbWrV68Kd3d3MXLkSKPtjIiIEGPGjNE5Xn4axdxpqfJtN/R+6qmd0aNHa52XmpoqPDw8xPTp07WO5+bmCoVCIYYOHWq0X/v37xcARGxsrOZYWlqa8PDwEAsWLNB5f3Uf8vLyRFBQkBg4cKDW/UpKSkSLFi3EI488YvDa27dvCx8fH/HUU09pXXvkyBEBQOv7OWDAANGyZUujfTBHly5dRNOmTYUQQuzdu1cAEJ999pkQwvC0i9SfUSGEWLNmjQgICBAABAARFhYmRo8eLQ4dOqR1Xn5+vhg0aJDmPHd3d9GqVSvx5ptvioyMDJP9WLRokQAg0tPTtY6bOy0lROm/rZCQEE1bgoODxTPPPCPi4uLMurcQQgwbNkwAEH///bfm2DvvvCMAiPj4eCFE6b85mUwmRo0apfceX375pQAgLly4YPR7QI6tSo/cHDp0CAMHDkR4eDhkMpnZiaTqKYbyX/7+/rZpMGmRyWRYtWoVrl69ihUrVmDcuHEoKirCxx9/jKZNm+qsDtFHPfUzfvx4zT3Hjh2Lv/76S+u3f/W9hg4dqnX98OHDDd776aefNvn+e/bsQUlJCaZOnWryXEdQvk8//fQTiouLMXr0aBQXF2u+fHx80KVLF830lyFdu3ZFixYt8Pnnn2uOrVq1CjKZDC+++KLB644ePYqsrCyMGTNG631VKhX69u2LkydPIi8vT++1iYmJyM/Px8iRI7WOd+jQAREREVrHHnnkEfz666+YMmVKhUYH9enRowd69+6Nd955B7m5uQbPk/ozqj7nxo0b2LhxI2bMmIG6detiw4YN6NKli9Z0jbe3N2JjY5GcnIyPP/4Yzz77LP755x+89957aNKkic4IVnk3b96ETCZDSEiIpd3XePzxx5GamorY2Fi8/PLLaNq0KXbs2IEnnngC06ZNM+teotxoixBCMxXVq1cvAKXTs127dsV3332n9+9TPc2tL+mYnEeVDm7y8vLQokULLF++3KLrX375ZSiVSq2vqKgoPPPMM1ZuadXg4eEBADpTFGrFxcXw9PTUOR4REYHJkydjzZo1uHTpErZs2YL8/HxNrokhubm52LZtGx555BHUrFkTd+7cwZ07d/DUU09BJpNp5bxkZmbCw8MDQUFBWveoVauWwftLWdnzzz//AADq1Klj8lxHUL5Pf//9NwDg4Ycfhqenp9bXli1bDC7rL2vGjBnYt28f/vzzTxQVFeHLL7/EkCFDoFAoDF6jft8hQ4bovO+iRYsghDC44ked56Hv/uWPzZkzBx9++CGOHTuGfv36ITg4GD169MCpU6dM9kuKRYsW4datWwaXTpvzM6oml8sxfPhwfPLJJzh+/Dh+++031KpVC2+++abOdFqTJk0wc+ZMbNiwAampqVi6dCkyMzPx9ttvG233/fv34enpCXd3d63jUv4NA9D5d+zr64tBgwZhyZIlOHjwIC5fvoyoqCh8/vnnJpd4l/XXX3/B29tb8+80ISEBKSkpeOaZZ5CTk6P5/g0dOhT37t3Dpk2bdO7h4+Oj6SM5ryod3PTr1w8LFy7E4MGD9b5eWFiIV199FbVr14a/vz/atWun9ZtoQEAAFAqF5uvvv/9GcnIyJkyYUEk9cC3qQEHfb0xCCCiVSqPBhNrQoUPRvHlznD9/3uh5mzZtwr1793DixAnUqFFD89W8eXMIIRAbG4vbt28DAIKDg1FcXKzzwExPTzd4fyn1bGrWrAmgNC/AGB8fH721TaQED8Z4e3vrva86ACivfJ/Uv7lv374dJ0+e1Pk6fvy4yTaMGDECwcHB+Pzzz7Ft2zakp6ebHMlSv+9nn32m931Pnjxp8GclODgYgP6/u/LHPDw8MHv2bJw5cwZZWVnYtGkTrl+/jj59+uDevXsm+2ZKy5YtMXz4cCxdulQTsJVlzs+oIU2bNsWzzz6LoqIiXLx40eB5MpkMs2bNQvXq1U3+2wkJCUFhYaHO6FhISAjc3d0NjnqkpaXB3d1d83dgSL169TQjd1KDm7S0NJw+fRqdOnXSBFnq4G/p0qVa37/JkydrvV6W+t+4NUalyH6qdHBjyrhx43DkyBFs3rwZv/32G5555hn07dsXly5d0nv+V199hUaNGqFz586V3FLX0L17d8hkMr0rSOLj45GTk4OePXtqjhlKmLx79y6uX7+O8PBwo++3Zs0aVKtWDfv27cP+/fu1vpYsWYKCggJ8++23AIAuXboAgE7bNm/ebFYfy+vduzfc3d2xcuVKo+dFRkbit99+0zp28eJFk9MHQGkAA+j/TVTffRMSEnD37l2T9wWAPn36wMPDA1euXEHbtm31fpni4+ODF198Ef/5z3+wdOlStGzZEh07djR6TceOHVG9enUkJycbfF8vLy+91z766KPw8fHR/N2qHT161GgSd/Xq1TFkyBBMnToVWVlZFUp+LWvhwoUoLCzEggULdF4z52c0MzMThYWFet/jjz/+AADNvwlD/3Zu3ryJnJwck/92HnroIQDAlStXtI77+PigY8eOiIuLQ35+vtZr+fn5iIuLQ6dOnTSjI7m5uQZ/1i5cuKDVZmPu37+P559/HsXFxXj11VcBALdv30ZsbCw6duyo873bv38/Ro4ciZMnT+oEclevXoWbmxsaN25s8n3Jgdkz4ceRoFxS4+XLl4VMJhNpaWla5/Xo0UPMmTNH5/r8/HxRo0YNsWjRIls31aVNnz5dyGQy8eKLL4odO3aIn376SSxcuFAEBASItm3bioKCAs25U6dOFS1bthQxMTHiv//9rzhw4IBYt26daNOmjdF6H0IIce7cOQFATJ48We/rhYWFQqFQaJJJS0pKRMeOHYWvr6/44IMPxJ49e8Q777wjGjZsKABoJb8aS4wun1AshBBvv/22ACCGDBkivvvuO7F3717x6aefaiUkb9iwQdPevXv3ijVr1ojGjRuLsLAwkwnF6qTdiRMniqNHj4qTJ09q6pssXLhQyGQy8fbbb2vet1GjRkIul+tNKD558qROn95//33h4eEhJk6cKGJjY8WBAwfEli1bxP/93/8ZrF9S3o0bN4SHh4cAIL766iud1/XVqvnmm2+Em5ubGDZsmNi2bZs4ePCg2L59u3j77bfFpEmTjF771ltvCQBiwoQJIj4+Xnz55Zeidu3aQqFQ6CQUv/7662L79u3i4MGD4uuvvxaRkZEiIiJCFBYWas5DuURkQ8omFJf10ksvaRJq1Qmz5v6Mbtu2TYSHh4tXXnlFxMbGikOHDont27eLp59+WicZfMCAAaJTp07i448/Fnv27BEJCQlixYoV4sEHHxQeHh7i559/NtqP1NRUAUCsXr1a57WjR48Kb29v0bJlS7F+/XqRkJAg1q9fL1q2bCm8vb3F0aNHNeeePHlSBAUFiSlTpogtW7aIQ4cOiZ07d4oXX3xRABBdu3bV1LpR/2xPnz5dJCYmiiNHjojdu3eL9957TzRo0EB4eHiIjz76SHPvzz77TAAQW7Zs0duH3377TQAQM2fO1Do+cOBA0bp1a6P9J8fH4OZf5YObrVu3CgDC399f68vDw0PvCpCNGzcKDw8PoVQqK7HVrkelUomVK1eKtm3bCj8/P+Hl5SUefPBB8dprr4nc3Fytc48dOyamTp0qWrRoIYKCgoS7u7uoWbOm6Nu3r95CXmXNnDlTABBJSUkGz3n99dcFAHH69GkhhBBZWVli3Lhxonr16sLPz0/06tVLHDt2TAAQn3zyieY6c4MbIYT4+uuvxcMPPyx8fHxEQECAaNWqlVaAolKpxOLFi8UDDzwgfHx8RNu2bUVCQoKk1VJCCDFnzhwRHh6uWVm2f/9+IYQQBQUF4tVXXxV169YVvr6+okuXLiIpKcngail9wY0QQuzYsUN069ZNBAYGCm9vbxERESGGDBki9u7da/D7W17Xrl1FUFCQuHfvns5rhgrxHTx4UPTv318EBQUJT09PUbt2bdG/f3+xbds2o9eqVCoRExMj6tatK7y8vETz5s3Frl27dL6fH330kejQoYMICQkRXl5eol69emLChAni2rVrmnNyc3MFAPHss8+a7KOh4Oaff/4RgYGBWsGNuT+j169fF2+99Zbo2LGjUCgUwsPDQ1SrVk20a9dOfPbZZ6K4uFhz3U8//STGjx8voqKihFwuFx4eHiIsLEwMHjxYJCYmmuyHEEJ07txZPP7443pfO3XqlHjqqadESEiIcHd3FyEhIeKpp57S/FtSu337tli4cKHo3r27qF27tvDy8hL+/v6iZcuWYuHChVo/C+qfbfWXu7u7qFGjhmjTpo2YOXOm+P3337Xu3bJlSxEaGqr1C1F5jz76qAgJCdGck5ubK/z8/LSCJHJOMiG4mB8onW+OjY3FoEGDAJROP4wcORK///67TtKcOtemLHUhsbJ7oZDr27hxI0aOHIkjR46gQ4cO9m6O08rIyEBERASmT5+OxYsX27s5Ztm9ezcGDBiAX3/9Fc2aNbN3cyrNd999h2HDhuGvv/5C7dq17d0cq1izZg1eeuklXL9+HTVq1LB3c6gCPOzdAEfVqlUrlJSUICMjw2QOTUpKCvbv34+4uLhKah3Zw6ZNm5CWloZmzZrBzc0Nx44dw5IlS/DYY48xsLHQjRs3cPXqVSxZsgRubm546aWX7N0ks+3fvx/PPvtslQpsgNIilQ8//DBiYmIsXnHqSIqLi7Fo0SLMmTOHgY0LqNLBzd27d3H58mXNn1NSUpCUlISgoCDNJmqjR4/GRx99hFatWuHWrVtISEhAs2bN8Pjjj2uuK1s9lFxXtWrVsHnzZixcuBB5eXkICwvD2LFjsXDhQns3zWl99dVXeOeddxAZGYlvv/3WKUcADG3W6OpkMhm+/PJLxMXFQaVSVWgbBkdw/fp1PPfcc/i///s/ezeFrKBKT0sdOHBAb/nwMWPGYP369SgqKsLChQvx9ddfIy0tDcHBwWjfvj0WLFig+S1NpVIhIiICo0ePxnvvvVfZXSAiIqJyqnRwQ0RERK7HuccRiYiIiMphcENEREQupcolFKtUKty8eRPVqlWTVB6fiIiI7E8IgdzcXISHh5tMYK9ywc3NmzdRt25dezeDiIiILHD9+nWTmw1XueCmWrVqAEq/OYGBgXZuDREREUmRk5ODunXrap7jxlS54EY9FRUYGMjghoiIyMlISSlhQjERERG5FAY3RERE5FIY3BAREZFLqXI5N1KVlJSgqKjI3s1wKp6enjo7qBMREVU2BjflCCGQnp6OO3fu2LspTql69epQKBSsIURERHbD4KYcdWATGhoKPz8/PqQlEkLg3r17yMjIAACEhYXZuUVERFRVMbgpo6SkRBPYBAcH27s5TsfX1xcAkJGRgdDQUE5RERGRXTChuAx1jo2fn5+dW+K81N875isREZG9MLjRg1NRluP3joiI7I3TUkRERKRRohI4kZKFjNx8hFbzwSP1g+DuZvgXV3PPrwwMboiIiAgAEH9eiQW7kqHMztccC/L3wqCW4egVpdAJXPSdHyb3wbyBUegbbb+FJZyWspESlUDilUzsTEpD4pVMlKiEvZtERERkUPx5JSZvOKMVqABAVl4h1h65huFfHkOnRQmIP680en56dj4mbzijOc8eOHJjA44ayZqjsLAQXl5e9m4GERFVghKVwIJdyTD1a7jy38Dl8xGt8e6P+s8XAGQAFuxKRq8ohV2mqDhyY2X2jGRVKhUWLVqEhg0bwtvbG/Xq1cN7770HADh37hy6d+8OX19fBAcH48UXX8Tdu3c1144dOxaDBg1CTEwMwsPD0ahRI1y7dg0ymQzff/89unXrBj8/P7Ro0QKJiYk26wMREVW+EylZOs8tY97eed7o+QKlgdCJlCwrtM58DG6syFjkqz62YFeyzaao5syZg0WLFuHtt99GcnIyNm7ciFq1auHevXvo27cvatSogZMnT2Lbtm3Yu3cvpk2bpnX9vn37cOHCBezZswc//PCD5vibb76Jl19+GUlJSWjUqBGGDx+O4uJim/SBiIgq357kdMnnCgCZeYWSzs3IlR4wWROnpazIVORbNpJt38C6RQJzc3PxySefYPny5RgzZgwAoEGDBujUqRO+/PJL3L9/H19//TX8/f0BAMuXL8fAgQOxaNEi1KpVCwDg7++Pr776SjMdde3aNQDAyy+/jP79+wMAFixYgKZNm+Ly5ct46KGHrNoHIiKqfPHnlVh75JpN7h1azccm9zWFIzdWJDVCtUUke+HCBRQUFKBHjx56X2vRooUmsAGAjh07QqVS4c8//9Qca9asmd48m+bNm2v+X72tgnqbBSIicl7qGQdLBPl7wlA2jQyluaaP1A+yuG0VweDGiqRGqLaIZNVbH+gjhDBYXK/s8bLBT1menp4656tUKkuaSUREDsTcXBvgf4HLwiejNX8u/zoAzBsYZbd6N3YNbg4dOoSBAwciPDwcMpkMO3bsMHlNQUEB3nzzTURERMDb2xsNGjTA2rVrbd9YCR6pH4QwuY9dItkHH3wQvr6+2Ldvn85rUVFRSEpKQl5enubYkSNH4ObmhkaNGlm9LURE5BzMnUkoG7g83jwcK59rDYVc+xf2IH8vjOsYCbmvl93KoNg15yYvLw8tWrTAuHHj8PTTT0u6ZujQofj777+xZs0aNGzYEBkZGQ6T3OruJsO8gVGYvOEMZIBWYrGtI1kfHx+89tprePXVV+Hl5YWOHTvin3/+we+//46RI0di3rx5GDNmDObPn49//vkH06dPx6hRozT5NkREVPWYO5OgKFfWpG90GHpFKXAiJQt7k9MRm5SGzH/r4qw9cs1uZVDsGtz069cP/fr1k3x+fHw8Dh48iKtXryIoqHT0IzIy0kats0zf6DCsfK61Tp2b8j8QtvD222/Dw8MDc+fOxc2bNxEWFoZJkybBz88PP/30E1566SU8/PDD8PPzw9NPP42lS5farC1EROT41DMO6dn5elf6ylA6EvNW/yZQyH01FYrLb7lwO68Aa49c07mHugzKyudaV2qAIxNCOETpXJlMhtjYWAwaNMjgOVOmTMHFixfRtm1bfPPNN/D398cTTzyBd99912jOSVk5OTmQy+XIzs5GYGCg1mv5+flISUlB/fr14eNTsbwYR9xrozJY83tIRETWpy8wmbrxLAD9Mw7lAxN9hWrdZIChGSgZSn/BP/xa9wo9B409v8tzqqXgV69exeHDh+Hj44PY2FjcunULU6ZMQVZWlsG8m4KCAhQUFGj+nJOTUyltdXeTWX25NxERUUUYqqD/4mP1Efer0uSMg7pQbfk4xlhqjS3LoBjiVMGNSqWCTCbDt99+C7lcDgBYunQphgwZgs8//1zv6E1MTAwWLFhQ2U0lIiJyKIYCk/TsfHxxKAWfj2iNGv5eBmccpG7RYEhlFvRzqqXgYWFhqF27tiawAYAmTZpACIEbN27ovWbOnDnIzs7WfF2/fr2ymktEROQQpFTQf/fHZDxSPwhPtqyN9g2CdaaQLFk2XlZlFvRzquCmY8eOuHnzptaeSBcvXoSbmxvq1Kmj9xpvb28EBgZqfREREVUl5lTQN8TSkRd7FPSza3Bz9+5dJCUlISkpCQCQkpKCpKQkpKamAigddRk9erTm/BEjRiA4OBjjxo1DcnIyDh06hFdeeQXjx4+XnFAshYPkWDslfu+IiByPNSroWzLyYq+CfnYNbk6dOoVWrVqhVatWAIDZs2ejVatWmDt3LgBAqVRqAh0ACAgIwJ49e3Dnzh20bdsWI0eOxMCBA/Hpp59apT3qSrz37t2zyv2qIvX3rmxVYyIisi+pgUlIgLfB10wVqgVKV02VpZD7VPoycMCBloJXFlNLyZRKJe7cuYPQ0FD4+fkZ3LaAtAkhcO/ePWRkZKB69eqaPaiIiMj+SlQCnRYlGKxno6YI9Mb8J5rqDUZKVALLEy7h472XdF5TPylNJSVXhDlLwRnclCOEQHp6Ou7cuVP5jXMB1atXh0KhYFBIRORg1KulABgMcMypbVNWZVQiZnBjhNRvTklJCYqKiiqxZc7P09MT7u7u9m4GEREZEH9eiflxyUjPMZxbU77onqEl5GqzejbCtO4NbZ5T47JF/CqTu7s7H9RERORS+kaHoZq3J0auOW7wnLIrpx6pH2S0to0MwOaTqZjWvaEtmmsxp1oKTkRERBVzK6/A9EkoXTlljSXk9sDghoiIqAqRunIqtJqPVZaQ2wODGyIioirE1JLuskX3zAmEHAmDGyIiIidTohJIvJKJnUlpSLySiRJjO1eW4+4mw7yBUQCgE+CUL7pnTiDkSJhQTERE5EQM7extzlLsvtFhWPlca537lN8JXB0ITd5wBjJoLyG3V/VhKbgUnIiIyEkYWpZtqD6NKSUqgRMpWSaL7lkjoKoo1rkxgsENERE5I3WVYUOrl8rXp7HF+0sJhGyFdW6IiIhcjDnLsts3CLb6+7u7yWxyX1tgQjEREZETcNZl2fbA4IaIiMgJOOuybHtgcENEROQEnHVZtj0wuCEiInIC5tSnqeoY3BAREdmJucX41PVpFHLtqSeF3MfsZeCujKuliIiI7MDS2jF9o8PQK0ph12XZjo51boiIiCqZtYvxVQXmPL85LUVERFSJSlQCC3Yl6wQ2wP+2N1iwK9ms/aJIG4MbIiKiSmROMT5rqchGm86IOTdERESVqLKL8TnCvlCVjSM3RERElagyi/Gpc3vKjxSlZ+dj8oYziD+vrPB7OCIGN0RERJWosorxVeXcHgY3RERElaiyivHZI7fHUTC4ISIiqmSVUYyvKm+0yYRiIiIiO7B1Mb6qvNEmgxsiIiI7cXeToX2DYJvcW53bk56drzfvRobSkSJX3GiT01JEREQuqCpvtMnghoiIyEVV1Y02OS1FRETkwqriRpsMboiIiJxAiUpYHKDYMrfHETG4ISIicnDGtlCoaqMyUjC4ISIicmDqLRTKr3hKz87HpA1nUN3PE3fuFWmOu/q+UVIwoZiIiMhBSdlCoWxgA7j+vlFSMLghIiJyUKa2UNDH1feNksKuwc2hQ4cwcOBAhIeHQyaTYceOHZKvPXLkCDw8PNCyZUubtY+IiMieLN0awZX3jZLCrsFNXl4eWrRogeXLl5t1XXZ2NkaPHo0ePXrYqGVERET2d+3WvQpd74r7Rklh14Tifv36oV+/fmZfN3HiRIwYMQLu7u5mjfYQERE5i/jzSizbe7FC93DFfaOkcLqcm3Xr1uHKlSuYN2+epPMLCgqQk5Oj9UVEROTICotVeCP2nN5EYilkKF015Yr7RknhVMHNpUuX8Prrr+Pbb7+Fh4e0QaeYmBjI5XLNV926dW3cSiIiIsvFn1fi0Zh9yMorMn0yqt6+UVI4TXBTUlKCESNGYMGCBWjUqJHk6+bMmYPs7GzN1/Xr123YSiIiIsupa9pk5RVKOn9Cx8gqt2+UFE5TxC83NxenTp3C2bNnMW3aNACASqWCEAIeHh74+eef0b17d53rvL294e3tXdnNJSIiMoslU1E9oxR4o38UKxSX4zTBTWBgIM6dO6d1bMWKFUhISMD27dtRv359O7WMiIioYuLPK/FG7HmzpqIU8v8FMlVp3ygp7Brc3L17F5cvX9b8OSUlBUlJSQgKCkK9evUwZ84cpKWl4euvv4abmxuio6O1rg8NDYWPj4/OcSIiImdhaHsFU/Tl1FRkc01XYtfg5tSpU+jWrZvmz7NnzwYAjBkzBuvXr4dSqURqaqq9mkdERGRTxrZXMCTI3xPvP9VMJ6fG2OaaVS3/RiaEqFK1mXNyciCXy5GdnY3AwEB7N4eIiKqwxCuZGP7lMcnnB/t7IXFOD3h5aK8HMjT6ox6zcYUEY3Oe306zWoqIiMjVmFNBWAbgvaeidQIbKZtrVrV9phjcEBER2YnUCsJB/p4GR19Mba5ZFfeZcprVUkRERK7mkfpBCJP7ID0732DejaGpKDWpoz9VaZ8pjtwQERHZibubDPMGRgHQX2nY0FRUWVJHf6rSPlMMboiIiOyob3QYVj7X2uJKw+rRH0MLvqviPlOcliIiIrKzvtFh6BWlsKhGjXr0Z/KGM5ABWtNbVXWfKS4FJyIicgGuXufGnOc3R26IiIgqka2qCFdk9MfVMLghIiKqJLYeXeE+U6WYUExERFQJ1FWEy9ekSc/Ox+QNZxB/XmmnlrkeBjdEREQ2xirClYvBDRERkY2xinDlYnBDRERkY6wiXLkY3BAREdkYqwhXLgY3RERENsYqwpWLwQ0RERFKk34Tr2RiZ1IaEq9kWjW519QeUkDVqyJsS6xzQ0REVZ4t6s+UL9bXK0qBlc+11nkfhQtVEXYU3H6BiIiqNHX9mfIPQ/UYipTNK/Xd01CwxCrCluH2C0RERBKYqj8jQ2n9mV5RCkkBSIlKYHnCJXy895LOa+pifZYES2Qe5twQEVGVZc36M/Hnlej4QYLewEZ9L4DF+ioDgxsiIqqyrFV/Rj21lZ5j/DwW66scDG6IiKjKskb9GWNTW4awWJ9tMbghIqIqyxr1Z0xNbenDYn22xeCGiIiqLGvUnzFnFIbF+ioHgxsiIqrS+kaHYeVzraGQa4+mKOQ+Blc2lS34dyu3wKz3Y7E+2+NScCIiqvL6RodJrj+jr4aNTAaYqhqnCPTG/Ceachl4JWBwQ0REhNIpqvYNgo2eY6jgn6nAZlbPRpjWvSFHbCoJgxsiIiIJLFkVVdEtHMgyDG6IiIgkMHdVVLC/Fw6+0g1eHkxvrWz8jhMREUlgbm2azLxCnP7rto1aQ8Zw5IaIiKqU8rt1S9240pLaNCzWZx8MboiIqMowtlu3qbwYdcG/9Ox8yXk3LNZnH5yWIiKiKkG90ql83ox6t+7480qj1xsr+Fcei/XZF4MbIiJyecZWOpmzW7ehgn9lSa1sTLbDaSkiInJ5plY6ld2t21Stm7IF//YmpyM2KQ1ZeUWa1xV6prkszfMhy9g1uDl06BCWLFmC06dPQ6lUIjY2FoMGDTJ4/vfff4+VK1ciKSkJBQUFaNq0KebPn48+ffpUXqOJiMjpSE3slXqeuuBf+wbBeKN/lNHApSJ5PmQZu05L5eXloUWLFli+fLmk8w8dOoRevXph9+7dOH36NLp164aBAwfi7NmzNm4pERE5M6mJvZYkAKsDnSdb1kb7BsE6gU1F8nzIMnYduenXrx/69esn+fxly5Zp/fn999/Hzp07sWvXLrRq1crKrSMiIldhaqWTDKXTSdZMADaV5yNDaZ5PrygFp6iszKkTilUqFXJzcxEUZPiHsaCgADk5OVpfRERUtRhb6WSrBGBz8nzIupw6uPnoo4+Ql5eHoUOHGjwnJiYGcrlc81W3bt1KbCERETkKQyudFHIfrHyutcH8lxKVQOKVTOxMSkPilUyTK6rUrJ3nQ9I57WqpTZs2Yf78+di5cydCQ0MNnjdnzhzMnj1b8+ecnBwGOEREVVTZlU5SVi7pSwYO8vfCoJbh6BWlMHqtLfN8yDinDG62bNmCCRMmYNu2bejZs6fRc729veHt7V1JLSMiIkenTgA2RZ0MXH6cJiuvEGuPXMPaI9eMrnqyR54PlXK6aalNmzZh7Nix2LhxI/r372/v5hARkQsylgxcltLIqid75PlQKbsGN3fv3kVSUhKSkpIAACkpKUhKSkJqaiqA0iml0aNHa87ftGkTRo8ejY8++giPPvoo0tPTkZ6ejuzsbHs0n4iIXJSpZODyDFU3tjTPhyrGrtNSp06dQrdu3TR/VufGjBkzBuvXr4dSqdQEOgCwevVqFBcXY+rUqZg6darmuPp8IiIiazAnyddUdWNz83yo4uwa3HTt2hVCGB70Kx+wHDhwwLYNIiIigmVJvsYCIql5PmQdTpdzQ0REZGvqZGBzxla46slxMLghIiIqx1gycHkylO4VxVVPjoPBDRERkR6GkoHLcuRVT5YWH3QFTlnnhoiIqDKUTQbem5yO2KQ0ZOUVaV5XOOju3lV9J3KZMJbR64JycnIgl8uRnZ2NwMBAezeHiIicSIlKOPyqJ0PFB9WtdNYl6OY8vzlyQ0REJJGjr3riTuSlmHNDRETkIrgTeSkGN0RERC6CO5GXYnBDRETkIrgTeSnm3BARkdMom9AbEuANCOBWXoHDJvdWNu5EXorBDREROQV9y5vLqkpLnQ1RFx+cvOEMZIBWgOPINXmsjdNSRETk8NTLm40ly6Zn52PyhjOIP68EUHWL2HEnco7cEBGRgyssVuGN2HN6p1nKKrvUWaUSePfHC1W2iF1V34mcRfyIiMhhxZ9X4o3Y88jKK6zwvZy9iF1VZ87zm9NSRETkkNRTUdYIbID/5Z8s2JVcZaaoqioGN0RE5HCMVdqtiKpSxK6qY3BDREQOx1Sl3Ypy9SJ2VR2DGyIicji2Dj5cvYhdVcfVUkRE5HBsFXxUlSJ2VR1HboiIyOGoK+0aW7gc5O+Fb8Y9go+HtUSQv6fke1eFInZVHYMbIiJyOOpKuwB0AhzZv1/vPxWNzo1rQhHog6y8IpP3DPL35DLwKoLBDREROSSplXal5ue8PaApA5sqgjk3RETksKRU2pWan6MIlJ7HU3aDzqpW3dcVMLghIiK7kRJEuLvJ0L5BsMF7WHsnbH0bdFalrRtcAYMbIiKyC2sFEdbcCVtdFbl8kKTelJM5O86BOTdERFTpDO3yXX5nb6mssRO2sarI3LrBuXDkhoiIKpWpIEK9s3evKIVZeS4V3QnbVFXksls3GJsmI/tjcENERJXKlkGEqfwcY6SuuuLWDY6P01JERFSpHDWIkLrqils3OD4GN0REVKkcNYgwVRVZhtKEZ27d4PgY3BARkc2UqAQSr2RiZ1IaEq9kokQlHDaIMFUVGeDWDc5CJoSoUmnfOTk5kMvlyM7ORmBgoL2bQ0Tksowt9QaAyRvOANC/dNueS65Z58YxmfP8ZnBDRERWZ6hejDp4mdmzEXLuFyI2KU1rXyhbBRHmVhxmhWLHY87zu0KrpYqLi3HgwAFcuXIFI0aMQLVq1XDz5k0EBgYiICCgIrcmIiInJaVezMd7L2qOBfl7YVDLcPSKUtgkiLBkJKYiq67I/izOufnrr7/QrFkzPPnkk5g6dSr++ecfAMDixYvx8ssvW62BRETkXEwt9S7vdl4h1h25huz7hTYJbKxZLJCcg8XBzUsvvYS2bdvi9u3b8PX11Rx/6qmnsG/fPkn3OHToEAYOHIjw8HDIZDLs2LHD5DUHDx5EmzZt4OPjgwceeACrVq2ytAtERGQD5i7htlX1X1YcrrosDm4OHz6Mt956C15eXlrHIyIikJaWJukeeXl5aNGiBZYvXy7p/JSUFDz++OPo3Lkzzp49izfeeAMzZszAd999Z3b7iYjINixZwl22cB+gf5WVucwpFkiuxeKcG5VKhZKSEp3jN27cQLVq1STdo1+/fujXr5/k91y1ahXq1auHZcuWAQCaNGmCU6dO4cMPP8TTTz8t+T5ERGQ7pnbpNiYjN99qq5UctVgg2Z7FIze9evXSBBkAIJPJcPfuXcybNw+PP/64NdqmIzExEb1799Y61qdPH5w6dQpFRUV6rykoKEBOTo7WFxER2Y6xejGmXLuVZ7UcGUctFki2Z3Fws3TpUhw8eBBRUVHIz8/HiBEjEBkZibS0NCxatMiabdRIT09HrVq1tI7VqlULxcXFuHXrlt5rYmJiIJfLNV9169a1SduIiOh/DO3SbYi6cN+mE6lWy5Fx1GKBZHsWBze1a9dGUlISXnnlFUycOBGtWrXCBx98gLNnzyI0NNSabdQik2n/mKrL9JQ/rjZnzhxkZ2drvq5fv26zthER0f/0jQ7D4de6Y9MLj+KTZ1tiVs8HARiu/vvsw/WQnlNg8H7m5siw4nDVZVHOTVFRERo3bowffvgB48aNw7hx46zdLr0UCgXS09O1jmVkZMDDwwPBwfrrEXh7e8Pb27symkdEROWUrxfTWFFNJ59G8W8+TUGxStI9zcmRUY8gGXpPVhx2TRYFN56enigoKDA4WmIr7du3x65du7SO/fzzz2jbti08PT0rtS1ERGS+vtFh6BWl0Fv9N/FKpqR7mJsjY+w9yTVZvFpq+vTpWLRoEb766it4eFh2m7t37+Ly5cuaP6ekpCApKQlBQUGoV68e5syZg7S0NHz99dcAgEmTJmH58uWYPXs2XnjhBSQmJmLNmjXYtGmTpd0gIqJKZqj6r6lVVjKUjrhYkiPDisNVi8XBzfHjx7Fv3z78/PPPaNasGfz9/bVe//77703e49SpU+jWrZvmz7NnzwYAjBkzBuvXr4dSqURqaqrm9fr162P37t2YNWsWPv/8c4SHh+PTTz/lMnAiIhegzpGZvOEMZNC/oSZzZEgKizfONJVns27dOosaZGvcOJOIyLFxV27Sh7uCG8HghojI8XFXbiqvUnYFT0lJQXFxMR588EGt45cuXYKnpyciIyMtvTUREVVxzJGhirC4zs3YsWNx9OhRnePHjx/H2LFjK9ImIiJyYtbYF4qoIiweuTl79iw6duyoc/zRRx/FtGnTKtQoIiJyTs6WL8PpL9dkcXAjk8mQm5urczw7O1vvhppEROTa4s8rMXnDGZ1l3Op9oVY+19qhAhxnC8RIOounpTp37oyYmBitQKakpAQxMTHo1KmTVRpHRETOoUQlsGBXstX2hbI1dSBmjQ06yfFYPHKzePFiPPbYY2jcuDE6d+4MAPjll1+Qk5ODhIQEqzWQiIgc34mULJ1Aoayy+0LZO1HYVCAmQ2kg1itKwSkqJ2XxyE1UVBR+++03DB06FBkZGcjNzcXo0aPxxx9/IDo62pptJCIiByd1vydz9oWyFXMCMXJOFo/cAEB4eDjef/99a7WFiIiclNT9nszdF8oWnCkQI8tUKLgBgHv37iE1NRWFhYVax5s3b17RWxMRkZOw5b5Q1uZMgRhZxuLg5p9//sG4cePw3//+V+/rXDFFRFR1ONO+UM4UiJFlLM65mTlzJm7fvo1jx47B19cX8fHx+M9//oMHH3wQcXFx1mwjERFVgooW3+sbHYaVz7WGQq494qGQ+zjUMnB1IAb8L/BSc7RAjCxj8d5SYWFh2LlzJx555BEEBgbi1KlTaNSoEeLi4rB48WIcPnzY2m21Cu4tRUSky5o1X5ylMB7r3DiXStlbKi8vD6GhoQCAoKAg/PPPP2jUqBGaNWuGM2fOWHpbIiKqZNYuvucs+0L1jQ5DryiFUwRiZB6Lg5vGjRvjzz//RGRkJFq2bInVq1cjMjISq1atQlgYI14iImdQ1Wu+OEsgRuaxOLiZOXMmlMrSCo7z5s1Dnz598O2338LLywvr16+3VvuIiMiGnKn4HpFUFgc3I0eO1Px/q1atcO3aNfzxxx+oV68eQkJCrNI4IiKyLdZ8IVdk9mqp9u3bY9GiRfjjjz+0jvv5+aF169YMbIiInAhrvpArMju4mTRpEk6cOIGHH34YjRo1wiuvvIJffvkFFi66IiIiO1LXfDGUTSND6Qoi1nwhZ2J2cDNmzBh89913uHXrFpYtW4acnBwMGzYMoaGhGDt2LGJjY3Hv3j1btJWIiKyMNV/IFVlcxM/b2xuPP/44Vq9ejZs3b+KHH35A7dq1MXfuXISEhGDAgAE4cuSINdtKREQ24CzF94iksriInzFXrlxBXFwc6tatiyFDhlj79hXCIn5ERPo5S/E9qprMeX7bJLhxZAxuiIiInI/NKhTXqFEDMpm0KD4rK8ucWxMRkQPhKA45M7OCm2XLltmoGURE5Cgs2XPJVDDEYIkqE6eliIhIw9A+U+owRF+CsalgiBtUkjVUes7N/fv3UVRUpHXMUQMHBjdERPqVqAQ6LUowuB2DDKUrqA6/1l0z6mIqGHrxsfr44lCKWcESkT7mPL8tXgqel5eHadOmITQ0FAEBAahRo4bWFxERORdz9pkCTG+6CQBf/qIb2JR9fcGuZJSoqtQEAlUCi4ObV199FQkJCVixYgW8vb3x1VdfYcGCBQgPD8fXX39tzTYSEVElMHefKSnBkLG4pXywRGQtFm+cuWvXLnz99dfo2rUrxo8fj86dO6Nhw4aIiIjAt99+q7WxJhEROT5z95my1maa3JSTrM3ikZusrCzUr18fQGl+jXrpd6dOnXDo0CHrtI6IiGyqRCWQeCUTO5PSoBICikBvyftMhfh7W6UN3JSTrM3ikZsHHngA165dQ0REBKKiorB161Y88sgj2LVrF6pXr27FJhIRkS3oW8VU3c8TAqWBTNkZpfL7TMWfV2J+XLLR+8sAyGSGp6bUCcrclJOszeKRm3HjxuHXX38FAMyZM0eTezNr1iy88sorVmsgERFZn3qVU/mcmex7pStf5X6eWsfL7jOlvjY9x/B0kjoYeqFz/dIgx8Dr3JSTbMFqdW5SU1Nx6tQpNGjQAC1atLDGLW2CS8GJqKqTuuT7wyEtcCuvQKvoXmGxCo/G7EVWXpHea9UUgd6Y/0RT1rkhq7HZ9gvG1KtXD/Xq1TP7uhUrVmDJkiVQKpVo2rQpli1bhs6dOxs8/9tvv8XixYtx6dIlyOVy9O3bFx9++CGCg4Mr0nwiIpenrhJ85PItSUu+3dxkeLJlbc3x+PNKvBF73mRgAwAfDW2Jjg1DAJTuOt4rSsEKxVRpLJ6WmjFjBj799FOd48uXL8fMmTMl3WPLli2YOXMm3nzzTZw9exadO3dGv379kJqaqvf8w4cPY/To0ZgwYQJ+//13bNu2DSdPnsTzzz9vaTeIiKqE+PNKdFqUgOFfHsPy/ZclXVN2FZN6Kiorr1DStbfuFmj92d1NhvYNgvFky9po3yCYgQ3ZlMXBzXfffYeOHTvqHO/QoQO2b98u6R5Lly7FhAkT8Pzzz6NJkyZYtmwZ6tati5UrV+o9/9ixY4iMjMSMGTNQv359dOrUCRMnTsSpU6cs7QYRkcszlF9jinoVk7FifaauJbIHi4ObzMxMyOVyneOBgYG4deuWyesLCwtx+vRp9O7dW+t47969cfToUb3XdOjQATdu3MDu3bshhMDff/+N7du3o3///pZ1gojIxVkSmJRf8m2qWJ+xaytL2SXtiVcyWfW4irM456Zhw4aIj4/HtGnTtI7/97//xQMPPGDy+lu3bqGkpAS1atXSOl6rVi2kp6frvaZDhw749ttvMWzYMOTn56O4uBhPPPEEPvvsM4PvU1BQgIKC/w2P5uTkmGwbEZGrMCcwAfSvYjK3yF5lr4BiwjKVZ/HIzezZs/Hqq69i3rx5OHjwIA4ePIi5c+fi9ddfx6xZsyTfRybT/gcghNA5ppacnIwZM2Zg7ty5OH36NOLj45GSkoJJkyYZvH9MTAzkcrnmq27dupLbRkTk7MwNTMou+VaTOsUU5O9Z6RthGppyS8/Ox+QNZxB/XllpbSHHYfHIzfjx41FQUID33nsP7777LgAgMjISK1euxOjRo01eHxISAnd3d51RmoyMDJ3RHLWYmBh07NhRU0enefPm8Pf3R+fOnbFw4UKEhen+g5ozZw5mz56t+XNOTg4DHCKqMqQGJtO6NUDHhjX1rmJ6pH4QwuQ+SM/ONzi9FezvhcQ5PeDlYfHvzGYztXGnDKUbc/aKUjCBuYqx+Kdww4YNmDx5Mm7cuIG///4bOTk5uHr1KkaPHi2piJ+XlxfatGmDPXv2aB3fs2cPOnTooPeae/fuwc1Nu8nu7u4ASkd89PH29kZgYKDWFxFRVaEOTExtqTCrV2ODq5jc3WSYNzBKc37562UA3nsqulIDG8D8Xcyp6rD4J3HatGn44YcfAAA1a9ZEQEAAAGDWrFnYsGGDpHvMnj0bX331FdauXYsLFy5g1qxZSE1N1UwzzZkzR2sUaODAgfj++++xcuVKXL16FUeOHMGMGTPwyCOPIDw83NKuEBG5LFOBCSAtR6ZvdBhWPtcaCrn2SJC+aazKYu4u5lR1WDwttXnzZjz77LOIi4vDY489BgCYPn06vvvuO+zfv1/SPYYNG4bMzEy88847UCqViI6Oxu7duxEREQEAUCqVWjVvxo4di9zcXCxfvhz/93//h+rVq6N79+5YtGiRpd0gInJ56sCkfNKtwsykW0crxmfuLuZUdVRo+4XNmzdjypQp+Pnnn7F27Vrs3LkT+/fvR6NGjazZRqvi9gtEVFWpKxQ7QmBiDeptJAzlAqm3kTj8Wnen7ieVqrTtF5599lncvn0bnTp1Qs2aNXHw4EE0bNiwIrckIiIbUVcJdlTmBl/qKbfJG86Y3MWcqhazgpuyq47KCg0NRatWrbBixQrNsaVLl1asZUREVGVYWqvGWlNu5FrMmpbq1q2btJvKZEhISLC4UbbEaSkicnXONv2krlVT/mGkbrGUhGVn6zOZz5znd4VybpwRgxsicmX6RkCC/L0wqGU4ekUpHO6hr86bMbSkm3kzpGbO87tyixIQEZHNGKrWm5VXiLVHrmH4l8fQaVGCQ1XtZa0asgUGN0RELkDqBplKB9uWgLVqyBYY3BARuQBzN8hcsCvZIXbOZq0asgUGN0RELsCckQ1HmuqRuj3EI/WDKrNZ5OQY3BARuQBLRjYcYarHWttDEJXF4IaIyAWYGgHRx1Gmehxx3ypybhWqUExERI7BWLXe8tTLqx1pqsfR9q0i58bghojIRRiq1luWI0/1OPr2EOQ8GNwQEbmQsiMge5PTEZuUhqy8Is3r3JaAqgJWKCYicmHcloBcRaXtCk5ERPYjJXDhVA9VRQxuiIickKW7aBNVBVwKTkTkZAztIZXuYFsrENkLgxsiIidibA8p8e/Xm7HnUVisquSWETkOBjdERE5Eyh5SmXmFeDRmr9ERnBKVQOKVTOxMSkPilUyH2GeKyFqYc0NE5ESkbpmQlVeEyRvO6K3wa26+DldckbNhcENE5ETM3TJhwa5k9IpSaIIRdb5O+XEadb5O+WCIicvkjDgtRUTkRMzZQ6r87t+m8nWA0mBIPUXFxGVyVgxuiIicSNldtKVST2WZytcpGwyZGwgRORIGN0RETka9h1SQv5ek89VTWVLzdTJy880KhIgcDYMbIiIn1Dc6DMfm9ECQv6fBc2QozY9R7/4tNV8ntJqPWYEQkaNhcENE5KS8PNzw/lPNIAN0cnD07f5tKl+nbDBkTiBE5GgY3BAROTH1FJVCrh1kKOQ+OiufyubrmAqGzAmEiBwNdwUnInIB5tSikbq8W71aCoBWYrH6rvpq6BDZijnPbwY3REQOzhZF9KTek3VuyFEwuDGCwQ0RORNHCC5YoZgcAYMbIxjcEJGzMFRNmNNCVBWZ8/xmQjERkQNiET0iyzG4ISJyQCyiR2Q5BjdERA6IRfSILMfghojIAYX4e0s6j0X0iHTZPbhZsWIF6tevDx8fH7Rp0wa//PKL0fMLCgrw5ptvIiIiAt7e3mjQoAHWrl1bSa0lIrK9+PNK/N+2X42ewyJ6RIZ52PPNt2zZgpkzZ2LFihXo2LEjVq9ejX79+iE5ORn16tXTe83QoUPx999/Y82aNWjYsCEyMjJQXFxcyS0nIrINQyukytK3tQIR/Y9dl4K3a9cOrVu3xsqVKzXHmjRpgkGDBiEmJkbn/Pj4eDz77LO4evUqgoIs+22FS8GJyFGVqAQ6LUowmkgMAIpAb8x/oimXgVOV4hRLwQsLC3H69Gn07t1b63jv3r1x9OhRvdfExcWhbdu2WLx4MWrXro1GjRrh5Zdfxv379w2+T0FBAXJycrS+iIgckakVUmoTOj2AgmIVEq9kcik4kR52m5a6desWSkpKUKtWLa3jtWrVQnp6ut5rrl69isOHD8PHxwexsbG4desWpkyZgqysLIN5NzExMViwYIHV209EZG1SVz69t/uC5v+5FQKRLrsnFMtk2vPFQgidY2oqlQoymQzffvstHnnkETz++ONYunQp1q9fb3D0Zs6cOcjOztZ8Xb9+3ep9ICKyhmu37pl9TXp2PiZvOIP480obtIjIOdktuAkJCYG7u7vOKE1GRobOaI5aWFgYateuDblcrjnWpEkTCCFw48YNvdd4e3sjMDBQ64uIyNHEn1di2d6LZl/HasVEuuwW3Hh5eaFNmzbYs2eP1vE9e/agQ4cOeq/p2LEjbt68ibt372qOXbx4EW5ubqhTp45N20tEZCvGtlqQgtWKibTZdVpq9uzZ+Oqrr7B27VpcuHABs2bNQmpqKiZNmgSgdEpp9OjRmvNHjBiB4OBgjBs3DsnJyTh06BBeeeUVjB8/Hr6+vvbqBhFRhUhNJDaF1YqJStm1zs2wYcOQmZmJd955B0qlEtHR0di9ezciIiIAAEqlEqmpqZrzAwICsGfPHkyfPh1t27ZFcHAwhg4dioULF9qrC0REFWatoITViolK2bXOjT2wzg0ROZrEK5kY/uUxi6+XAVDIfXD4te4s6kcuyynq3BARUalH6gchTO4DQ2GJDEANP0/N/5d/DWC1YqKyGNwQEdmZu5sM8wZGATAcvMQMboZVz7WGQq499aSQ+2Dlc61Z54aoDE5LERE5iPjzSizYlayVXFy+SF+JSuBEShYycvMRWq1040yO2FBVYM7zm8ENEZEDYfBCpJ85z2+7rpYiIiJt7m4ytG8QbO9mEDk15twQERGRS2FwQ0RERC6FwQ0RERG5FAY3RERE5FIY3BAREZFL4WopIiI74/JvIuticENEZEdSCvcRkXk4LUVEZCfx55WYvOGMVmADAOnZ+Zi84Qzizyvt1DIi58bghojIDgqLVXgj9hz0lYhXH1uwKxklqipVRJ7IKjgtRURUSdS5NXuT07H19A3k5hcbPFcAUGbn40RKFisWE5mJwQ0RUSXQl1sjRUaueecTEYMbIiKbU+fWWDLBFFrNx+rtIXJ1DG6IiGyoRCWwYFey2YGNDIBCXrosnIjMw4RiIiIbOpGSZfZUlNq8gVGsd0NkAQY3REQ2ZEnOTJC/J1Y+15p1bogsxGkpIiIbMjdnJtjfC4lzesDLg797ElmK/3qIiGzokfpBCJP7QMrkkgzAe09FM7AhqiD+CyIisiF3NxnmDYwCAKMBTpjch1NRRFbCaSkiIhsqUQnIfb0wvmMkYpPSkJVXpHkt2N8LT7YMR68oBTfLJLIiBjdERDair3BfkL8XBjGgIbIpBjdERFZWohJYnnAJH++9pPPa7bxCrDtyjYENkQ0xuCEisqL480rMj0tGeo7+JeACpbk3C3Ylo1eUggEOkQ0woZiIyErU2ywYCmzUym6KSUTWx+CGiMgKLNlmgZtiEtkGgxsiIiuwZJsFbopJZBvMuSEisgJzRmG4KSaRbXHkhojICswdheGmmES2w+CGiMgKpG6zoAj0ZiViIhtjcENEZAVStlmY1bMRjrzeg4ENkY0xuCGiKqlEJZB4JRM7k9KQeCUTJSpz1jnp1zc6DCufaw2FXHuKKkzug1XPtcZLPR/kVBRRJbB7QvGKFSuwZMkSKJVKNG3aFMuWLUPnzp1NXnfkyBF06dIF0dHRSEpKsn1Dichl6NsWIUzug3kDoyo8qtI3Ogy9ohQ4kZKFjNx8hFbzYTViokpm15GbLVu2YObMmXjzzTdx9uxZdO7cGf369UNqaqrR67KzszF69Gj06NGjklpKRK5CXWiv/LLt9Ox8TN5wBvHnlRbdt+xI0ImULDxSPwhPtqyN9g2CGdgQVTKZEKLiY7EWateuHVq3bo2VK1dqjjVp0gSDBg1CTEyMweueffZZPPjgg3B3d8eOHTvMGrnJycmBXC5HdnY2AgMDK9J8InIyJSqBTosSDNajUS/RPvxad52ApEQlDI7G2HIkiIhKmfP8ttu0VGFhIU6fPo3XX39d63jv3r1x9OhRg9etW7cOV65cwYYNG7Bw4UKT71NQUICCggLNn3NycixvNBE5NVOF9spui9C+QbDmuLHgBQAmbzijU5lYPRLElVFElc9uwc2tW7dQUlKCWrVqaR2vVasW0tPT9V5z6dIlvP766/jll1/g4SGt6TExMViwYEGF20tEzk9qob2y56mnscoHL8rsfEzacAbVfT30brnADTKJ7Mfuq6VkMu1/8EIInWMAUFJSghEjRmDBggVo1KiR5PvPmTMH2dnZmq/r169XuM1E5JykFtpTnydlv6g794sNvsYNMonsw24jNyEhIXB3d9cZpcnIyNAZzQGA3NxcnDp1CmfPnsW0adMAACqVCkIIeHh44Oeff0b37t11rvP29oa3t7dtOkFETkVdaC89O19vwFJ+WwRL9ovShxtkElUuu43ceHl5oU2bNtizZ4/W8T179qBDhw465wcGBuLcuXNISkrSfE2aNAmNGzdGUlIS2rVrV1lNJyInZazQnvrPZbdFsFZQwg0yiSqXXevczJ49G6NGjULbtm3Rvn17fPHFF0hNTcWkSZMAlE4ppaWl4euvv4abmxuio6O1rg8NDYWPj4/OcSIiQ9SF9sonCCv0rG6qaFDCDTKJ7MOuwc2wYcOQmZmJd955B0qlEtHR0di9ezciIiIAAEql0mTNGyIic0kttKeexrJkakrfSBARVQ671rmxB9a5IaLyytawCQnwBgRwK68AodV8cDuvAFM2njX7nopAb8x/oimXgRNZiVPUuSEicgT6atiUFSb3wQud62PN4RSYs/3UR0NbomPDECu1kojMYfel4EREtmRsg0xDWzGUpczOx5e/pODxaIVZ73vrboHpk4jIJjhyQ0Quy1hl4V5RCpM1bMr64Vw65L4eKFEBdwsM17ZR4wopIvthcENELslQZWH1tggzezYyO1E4+34xZAACvN1xt6BE7zlcIUVkfwxuiMjpGNvEUv26oVEZ9bYI646mWPz+nu5uAEog+/d+alwhReQYGNwQkVORsgO3lA0y79wrsuj9BYDb94owq+eD2HzyuslaOURU+RjcEJHTMDXVpN6BW2pl4eq+nsi+XyQ576asyBB/HH6tu8laOURU+bhaioicgqmpJqB0B+4SlZCczDuuYyQA3a0YpAit5gN3NxnaNwjGky1ro32DYAY2RA6CwQ0ROQUpU03qHbjVlYUNhRoylE5lTev+IFY+1xoKufSVTeprmTBM5Lg4LUVETkHqVJP6vGcfrouP917Seb180m/5rRhCArxxIiUTn+y7bPJaInJMDG6IyClInWr67zklFuz6HVl5+hOG9SX9qqeX1Do2DEGTsEBJm2sSkeNhcENETkE91ZSenW80ATj+978NvjarZyNM695Q0qiL1M01icjxMOeGSA9jJfvJPtzdZJg3MAqAZQnAMgCbT6aa/Z5MGCZyPhy5ISpHSh0VqnwlKgG5rxfGd4zE92fTcNvMOjVlE47LTkERkethcEP0rxKVwPKES3qTUMvXUaHKZWrnbnNITUwmIufF4IYIpQ/P+XHJSM/R/+BTl+xfsCsZvaIUnJ6oRIYK91mKG1oSuT4GN+TwTO0jVFFSH56ONK1h6++JPZXtW0iAN+bH/W6VwIYbWhJVHQxu7ETfwwmA0z+wDD10LX0Y2zr/xVjVW0PsPa3hyjlB1px+0of1aYiqBgY3dqDvA7y6nycA7c38nOmBpc5XWXfkGu7c1+7DEy3CEPer0uyHsdR9hCrCVNVbfaROa9hidKUyvieVpfz353ZeAaZuPGu16aeynOnfEhFVnEwIUaXWuObk5EAulyM7OxuBgYGV/v7m5A+oH4P2fmCZekjHn1fi9e/PmbXLsqm+lagEOi1KMBh4qKcYDr/WXVLAYKgPO5PS8NLmJMltlvqethhdsfb3xJ70fX/cZIA1V9wH+3vhyZbh6BWlqPAIIhHZnznPb47cVCJzp0CskcRq6Ye5+rq9yemITUrTqvZa9iFtabKnqb4du5Jp1j5CZXM0IIBbeQWa/u5JTjcYaIT4e5vVbn3TGlJHIPSNrpjz92PO3kr2zgkyxtDPjCWBjTqg+3BIC2TcLUDW3QIE+XtBIffVG4S76nQeEWljcFOJLJkCKf/AMudhaOmHuam8B/VD+vMRrfHuj+blqxjrW9n3f/27c5LusTc5HbO3Jhlsa3U/T70jSunZ+Zi04Qyq+3pKeh9FoDfmP9FU5/tmaATC0M7VZQM6Y0GXvr8fqbk+6hVfjpjXZUmOkynzBkah44MhRs9xpek8IjKNwU0lqkgiakZuvlnBiqEPc+W/D/UVI1rj8ea6H+ZSRmLUD+m3d55HZl6hxX1SK/t9MXckaM2Ra0ZfNzRVpr5/2fwgQ4a0ro2ODUNQzccTRy7d0owKGRqhMTYCoQ7olidcwrK9l8x62ErN9Xn3h9/xhzJbJ8/JEfK6LAnwDQny98T7TzUz2XZjARWX+BO5JgY3lagi9TWu3crT+zBUBytl98yR8tvxtE1nsByt0Cc6zKJltwKwSmAD/O/7Ys5v9bJ//2PLjLHqvh6ATIbtZ9Kw/UyazuuGRmikWHfkmtkP2zYRNRDk72lwQ0i1rLwirD6UonPc0AhWRUcuzBlNtOZKs7cH6I6k6eMq03lEJB2DGxsrX7NDEeiNv3MKJD8U1TkFm06kGr3m470XsenEX5j/RFNU8/Y0+duxSgBTNp5Fdb/zZiUCW1P5uiPm/FYvNP+xnTv3i42+XpHkV2MjRuqH7cd7/kTHhjW18oZMBTbmKhtMVfP2xK28Ar15S9aa+rRmAT1FoLR7SQ2o7L3En4ish8GNDRla8m3uM/HZh+vh470XTZ6XnlOASRvOwNtD+n6oFQ1sgvw9cTuvyOw+qR+VZRN0q8LDRQZA7uspaTps+f4rWL7/isG8IWtRB1Mj1xzX+3qQvxcGlVt1BFiWxyJ1Z29jzC3GJzWgYuViItfBXcFtRP3BX34kItuMh1SQvydWPtcakSF+Zr13QbHKrPMtIUPpb+gLn4zW/Fmf6n6emPhYfYTJtR8cCrmPzsPP1R8uMpQGEsVmDvnYa2RNLSuvEGuPXMPwL4+h06IExJ9XmsxjAUpHg8rvpl52Z29L6AuKTVEHVIbOVv8ss3IxkevgyI0NFBar8EbsOaMf/FKocwoSr2Raq2lWpZ56WOkm0ztCNa5DfU0e0Kt9m+hdrp14JVMzGmCN3+odSfm6LdX9PHH7XhHuFhif7nJkyn9HZWb2bGRxHkvf6DCsfK413og9jywz87YUFiRAqwOqyRvOaAJMNUuCJSJyfAxurKRsXZitp28gN7/iDzB1ToGjPfTVxdHkvl4oUQn0jQ5DryiF0aRSdzcZ2jcIRvx5JV7e9qvBHA1DDyFLqe8T4O1R6UHFjO4P4uHIIE0ey/9tTarU97eldUd0E5b1ycjN15tw3Dc6DN0fqoVHY/YazCMqW8NGSv6PMeqAqnwQbkmwRESOjxWKrcDa++HoqzRr7Z2RzRXs74WWdeU4e/2OwYJ+ppjqg3rFl776L5ZWr1W3z9SDVE0R6I25A5ri3R+TrRJMqt9f7uuF4V8eq+DdnM+sng9i88nrBoNZ9c8EoH9Exdr1Z1ihmMh5mfP8ZnBTQRUNOgwNk+v7UI8/r8T8uGRNkbbKMqtnIzwY6q+3povUh5CprQPU1MXyyo4E3cotwLs/XpDU1iB/L3wytCWy7hfqPLwMPUjL9lM9jWbqXKnU359xHSOx1kRNHovfQ+KS+ABvd6gEcK+wxCbt0GoT/jcNp+814H8/M6wcTERSMLgxwprBjdQHdnnqkZm3+zfBuz9e0PuhbmiaR71B5cd7L1Wo7TX+ffCYmv5Rt1UIgfScAqPnGNvTKPFKpuSRCxm0gyVz9n9aZSLIMrcQojVG5GQAavh7mZ1fIuW+APDp8FaYF3fe6KhUsL8XEuf0wMmULIOroqwtwNsddwv0B1Llf2Y4okJEpnBvqUpSkWqr6odp2SJ6ZfdCKh80lV2OO637g2isqGbWKI4MwMyejRAZ4qf1PqaSOtWJocZIKYJm7jLvskXspK6imtXzQZO/6UvJDzJ0bkiAN06kZOKTfZfN6osArB7YAECtMltCeLrLjE7vvPdUNLw83PBog+BKy98yFNgAuj8z6pwsIiJrYHBTAZbUZQn08cCQNnU0ybjlP9QNTXOpl+OuPXJNM9Jw5PXukkZxDI1M9I0Ow/3CEsza+qvZ/dCnfKBV9rfxW7n6R330Kf/gk5JQHSb3wbTuD0q6vzkP0vLndmwYgiZhgVbNsbLUR0NbomPD0j2VTCXM9opSIPFKJjJy8/Hsw3Xx8d5LVkvaroiqUNuIiCqf3YObFStWYMmSJVAqlWjatCmWLVuGzp076z33+++/x8qVK5GUlISCggI0bdoU8+fPR58+fSq51aXMrcsikwE5+cU6QUrZHaKlbD+gLFMk7aWejdBYUU3noaZe0VS+8Fp5CrmvWX0w5t0ffoevp5vBPApzk4LVDz5HW8pbfkTHnJwga7p1VztgNDQqpW8kUN8+U+qfmR5NagECSPjjb50d4a3N1WsbEZF92DXnZsuWLRg1ahRWrFiBjh07YvXq1fjqq6+QnJyMevXq6Zw/c+ZMhIeHo1u3bqhevTrWrVuHDz/8EMePH0erVq0kvactcm4sHeIvn1hpbl6KNXIWTPWhbM6NlG0jZABefKw+vjiUUuFRgU0vPKozquWIiacV/TmwVPnvjz6GRgLVPxnlpyrL/8yU3z7k/7YmmbV9iCFS8rSIiMpymoTidu3aoXXr1li5cqXmWJMmTTBo0CDExMRIukfTpk0xbNgwzJ07V9L5tlotBRge4jc2YlH2Q/6H325KTpxVk/KAM0XKclwAklYPyVA6QmVshMbUCI6xB5+jJp5WdHWVOVNEUgMDUwnv5gYY1kpmt9UybyJybeY8v+22/UJhYSFOnz6N3r17ax3v3bs3jh49KukeKpUKubm5CAqyX9l0da6Dotz2AsH+XhjfMRJv929i9EFeNr/EkiF6a+QsGOpD2S0S1OfU8Pcyei8B01NPKgEMaV3b6D2efVh35A74Xw7Mky1raxJRHYGh76EUs3o+qHNdjX+njcr3zpxpOHN2wzYl/rwSnRYlVDiwAfRvvUFEZE12y7m5desWSkpKUKtWLa3jtWrVQnp6uqR7fPTRR8jLy8PQoUMNnlNQUICCgv/lJuTk5FjWYCOMrcDZmZQm6R4ZufkY0Dzc7JUslgREhirGmlpFZM0E5M6NaqJnVC2Dibkf772IzSdT7T7lZA59q6uMTeOoR06mdX8Q07o/qDdXpiIVda21G7apWk4zezyIzSdTjfYzyN8Lb/VvAoXc12FG24jIddk9oVgm0/6QE0LoHNNn06ZNmD9/Pnbu3InQ0FCD58XExGDBggUVbqcphlbgmLMjsbHE2fLM3RlZzVTeiqkpLmslIIdW80H7BsHoFaUwONVhbHdpR1X+52D+E00lJ0Lr24NJ6rJ1fayxG7apJHcZgC2nrmPugChM3XjWYD/feyraaf4Oicj52W1aKiQkBO7u7jqjNBkZGTqjOeVt2bIFEyZMwNatW9GzZ0+j586ZMwfZ2dmar+vXr1e47eYwd0diKdMblq4QMrRTuTqIiD+vNHkPKf0x1iR9OzBvPqn/78TY7tLOQsqUnzEVmYazxm7YUqe2avh76+2n3M8TM3s2Qq8oBYDSYCnxSiZ2JqUh8Uqm0/69EpFjs9vIjZeXF9q0aYM9e/bgqaee0hzfs2cPnnzySYPXbdq0CePHj8emTZvQv39/k+/j7e0Nb29vq7TZEpYsYy77G/ve5HSd5biWbPZn7Ddw8W9byhbOq0h/XuhculoKBl4v219z8kLMTZx2lOTjio7AWMoaS+jNmdp6smVtzUjcuiPXcOd+Ee7cK9JMMT7RIgxxvyodbrUbEbkeu05LzZ49G6NGjULbtm3Rvn17fPHFF0hNTcWkSZMAlI66pKWl4euvvwZQGtiMHj0an3zyCR599FHNqI+vry/kcrnd+mGKJTsSq39jb98gGG/0j6rwg9GaQYSU/rSqV0NSf62VF1Keoy0bt1cF3oruhm3u1Nae5HQs23tJJ4hWZudj9SHdncSdceqRiByfXYObYcOGITMzE++88w6USiWio6Oxe/duREREAACUSiVSU1M1569evRrFxcWYOnUqpk6dqjk+ZswYrF+/vrKbb5aK/PZujQejtYMIU/2R2l9r5IWUZygBtqo+SCvys2eqOnTZ3C+pRSjLMmfUkIhIKm6cWUVILRBojbo55pBaRNCcWizWrO1C0uogmVuEUp/K/tkjIufiFHVuqHJZI7nUFtR5Ieo2lG8TYF7itDVru1ApqUnRFa25xH2miMha7L4UnCqHo+3PVFZF80LKslUOT1UnZWqrovtEcZ8pIrIWBjdViDWDCFu0zRorimyRw0OlTOV+Sdm9XR9LazYRERnC4KaKsdeyZCmskThtTgIsWZc5RSjV7D1qSESuiTk3VZCj7s9kDdbO4SHzGMrPCZP7YOJj9RFmYTFDIiJzcLUUuSRHq3NT1RgqoOgohRWJyPmY8/xmcEMuiw9SIiLXYc7zmzk35LLsVRWYiIjsizk3RERE5FIY3BAREZFLYXBDRERELoXBDREREbkUBjdERETkUhjcEBERkUthcENEREQuhcENERERuRQGN0RERORSqlyFYvVuEzk5OXZuCREREUmlfm5L2TWqygU3ubm5AIC6devauSVERERkrtzcXMjlcqPnVLmNM1UqFW7evIlq1apBJvvfJoo5OTmoW7curl+/7rIbalaFPgLsp6thP11HVegjwH7aihACubm5CA8Ph5ub8ayaKjdy4+bmhjp16hh8PTAw0KV/GIGq0UeA/XQ17KfrqAp9BNhPWzA1YqPGhGIiIiJyKQxuiIiIyKUwuPmXt7c35s2bB29vb3s3xWaqQh8B9tPVsJ+uoyr0EWA/HUGVSygmIiIi18aRGyIiInIpDG6IiIjIpTC4ISIiIpfC4IaIiIhcissEN4cOHcLAgQMRHh4OmUyGHTt2aL1+9+5dTJs2DXXq1IGvry+aNGmClStX6twnMTER3bt3h7+/P6pXr46uXbvi/v37mtdv376NUaNGQS6XQy6XY9SoUbhz546Ne/c/1uhneno6Ro0aBYVCAX9/f7Ru3Rrbt2/XOsfR+/n3339j7NixCA8Ph5+fH/r27YtLly5pnVNQUIDp06cjJCQE/v7+eOKJJ3Djxg2tc5y9n1lZWZg+fToaN24MPz8/1KtXDzNmzEB2drbWfZy9n2UJIdCvXz+997FnP63VR2f/DJLST2f4DIqJicHDDz+MatWqITQ0FIMGDcKff/6pdY4QAvPnz0d4eDh8fX3RtWtX/P7771rnOPLnkDX66KifQS4T3OTl5aFFixZYvny53tdnzZqF+Ph4bNiwARcuXMCsWbMwffp07Ny5U3NOYmIi+vbti969e+PEiRM4efIkpk2bplXmecSIEUhKSkJ8fDzi4+ORlJSEUaNG2bx/atbo56hRo/Dnn38iLi4O586dw+DBgzFs2DCcPXtWc44j91MIgUGDBuHq1avYuXMnzp49i4iICPTs2RN5eXma82bOnInY2Fhs3rwZhw8fxt27dzFgwACUlJRoznH2ft68eRM3b97Ehx9+iHPnzmH9+vWIj4/HhAkTtO7l7P0sa9myZVpbp5Rlz35ao4/O/hkktZ/O8Bl08OBBTJ06FceOHcOePXtQXFyM3r17a/Vj8eLFWLp0KZYvX46TJ09CoVCgV69emj0MAcf+HLJGHx32M0i4IAAiNjZW61jTpk3FO++8o3WsdevW4q233tL8uV27dlp/Li85OVkAEMeOHdMcS0xMFADEH3/8YZ3Gm8HSfvr7+4uvv/5a65ygoCDx1VdfCSEcv59//vmnACDOnz+vOVZcXCyCgoLEl19+KYQQ4s6dO8LT01Ns3rxZc05aWppwc3MT8fHxQgjX6Kc+W7duFV5eXqKoqEgI4Vr9TEpKEnXq1BFKpVLnPo7UT0v76OyfQVL76WyfQUIIkZGRIQCIgwcPCiGEUKlUQqFQiA8++EBzTn5+vpDL5WLVqlVCCOf7HLKkj/o4wmeQy4zcmNKpUyfExcUhLS0NQgjs378fFy9eRJ8+fQAAGRkZOH78OEJDQ9GhQwfUqlULXbp0weHDhzX3SExMhFwuR7t27TTHHn30Ucjlchw9erTS+6SPqX6qz9myZQuysrKgUqmwefNmFBQUoGvXrgAcv58FBQUAAB8fH80xd3d3eHl5af6+Tp8+jaKiIvTu3VtzTnh4OKKjozV9cIV+6pOdnY3AwEB4eJRuHecq/bx37x6GDx+O5cuXQ6FQ6NzHkfsppY+u8Bkk9e/SGT+D1NMsQUFBAICUlBSkp6drfcZ4e3ujS5cumjY62+eQJX00dB97fwZVmeDm008/RVRUFOrUqQMvLy/07dsXK1asQKdOnQAAV69eBQDMnz8fL7zwAuLj49G6dWv06NFDM1+cnp6O0NBQnXuHhoYiPT298jpjhKl+AsCWLVtQXFyM4OBgeHt7Y+LEiYiNjUWDBg0AOH4/H3roIURERGDOnDm4ffs2CgsL8cEHHyA9PR1KpRJAaR+8vLxQo0YNrWtr1aql6YMr9LO8zMxMvPvuu5g4caLmmKv0c9asWejQoQOefPJJvfdx5H5K6aMrfAZJ/bt0ts8gIQRmz56NTp06ITo6GgA07ahVq5bWueU/Y5zlc8jSPpbnKJ9BVSq4OXbsGOLi4nD69Gl89NFHmDJlCvbu3QsAUKlUAICJEydi3LhxaNWqFT7++GM0btwYa9eu1dxH31y/EMJgDkBlM9VPAHjrrbdw+/Zt7N27F6dOncLs2bPxzDPP4Ny5c5pzHLmfnp6e+O6773Dx4kUEBQXBz88PBw4cQL9+/eDu7m702vJ9cKV+5uTkoH///oiKisK8efO0XnP2fsbFxSEhIQHLli0zei9H7aeUPrrCZ5DUn1ln+wyaNm0afvvtN2zatEnntfLtkdJGR/wcskYfHekzyMMmd3Uw9+/fxxtvvIHY2Fj0798fANC8eXMkJSXhww8/RM+ePREWFgYAiIqK0rq2SZMmSE1NBQAoFAr8/fffOvf/559/dCJbe5DSzytXrmD58uU4f/48mjZtCgBo0aIFfvnlF3z++edYtWqVw/cTANq0aYOkpCRkZ2ejsLAQNWvWRLt27dC2bVsApX9XhYWFuH37ttZvTRkZGejQoYPmHGfvp1pubi769u2LgIAAxMbGwtPTU/OaK/QzISEBV65cQfXq1bWue/rpp9G5c2ccOHDA4ftpqo+u8BkEmO6ns30GTZ8+HXFxcTh06BDq1KmjOa6eGk1PT9f83QGlnzHqNjrL51BF+qjmaJ9BVWLkpqioCEVFRVorDoDSuWD1b0uRkZEIDw/XWQZ38eJFREREAADat2+P7OxsnDhxQvP68ePHkZ2drflBtScp/bx37x4AGD3H0ftZllwuR82aNXHp0iWcOnVKM2XRpk0beHp6Ys+ePZpzlUolzp8/r+mDK/QTKP1tqXfv3vDy8kJcXJxWvgPgGv18/fXX8dtvvyEpKUnzBQAff/wx1q1bB8B5+mmoj67wGVSWoX46y2eQEALTpk3D999/j4SEBNSvX1/r9fr160OhUGh9xhQWFuLgwYOaNjr655A1+gg46GeQTdKU7SA3N1ecPXtWnD17VgAQS5cuFWfPnhV//fWXEEKILl26iKZNm4r9+/eLq1evinXr1gkfHx+xYsUKzT0+/vhjERgYKLZt2yYuXbok3nrrLeHj4yMuX76sOadv376iefPmIjExUSQmJopmzZqJAQMGOE0/CwsLRcOGDUXnzp3F8ePHxeXLl8WHH34oZDKZ+PHHH52mn1u3bhX79+8XV65cETt27BARERFi8ODBWveYNGmSqFOnjti7d684c+aM6N69u2jRooUoLi52mX7m5OSIdu3aiWbNmonLly8LpVKp+XKlfuoDPasF7dlPa/TRFT6DTPXTWT6DJk+eLORyuThw4IDWv6t79+5pzvnggw+EXC4X33//vTh37pwYPny4CAsLEzk5OZpzHPlzyBp9dNTPIJcJbvbv3y8A6HyNGTNGCCGEUqkUY8eOFeHh4cLHx0c0btxYfPTRR0KlUmndJyYmRtSpU0f4+fmJ9u3bi19++UXr9czMTDFy5EhRrVo1Ua1aNTFy5Ehx+/btSuqldfp58eJFMXjwYBEaGir8/PxE8+bNdZZlOno/P/nkE1GnTh3h6ekp6tWrJ9566y1RUFCgdY/79++LadOmiaCgIOHr6ysGDBggUlNTtc5x9n4auh6ASElJcZl+6qMvuLFnP63VR2f/DJLST2f4DDL072rdunWac1QqlZg3b55QKBTC29tbPPbYY+LcuXNa93HkzyFr9NFRP4Nk/3aQiIiIyCVUiZwbIiIiqjoY3BAREZFLYXBDRERELoXBDREREbkUBjdERETkUhjcEBERkUthcENEREQuhcENkQs5cOAAZDIZ7ty5Y5f3T0hIwEMPPaQpo19RldWfa9euQSaTabZ1cBU//PADWrVqZbW/DyJnweCGyEl17doVM2fO1DrWoUMHKJVKyOVyu7Tp1VdfxZtvvqmzbxDZx4ABAyCTybBx40Z7N4WoUvETiMiFeHl5QaFQQCaTVfp7Hz16FJcuXcIzzzxT6e/tCAoLC+3dBC1FRUUAgHHjxuGzzz6zc2uIKheDGyInNHbsWBw8eBCffPIJZDIZZDIZrl27pjONs379elSvXh0//PADGjduDD8/PwwZMgR5eXn4z3/+g8jISNSoUQPTp09HSUmJ5v6FhYV49dVXUbt2bfj7+6Ndu3Y4cOCA0TZt3rwZvXv31tkROC4uDm3btoWPjw9CQkIwePBgzWsbNmxA27ZtUa1aNSgUCowYMQIZGRlG3+fo0aN47LHH4Ovri7p162LGjBnIy8vTvB4ZGYn3338f48ePR7Vq1VCvXj188cUXWvc4ceIEWrVqBR8fH7Rt2xZnz57Ver2kpAQTJkxA/fr14evri8aNG+OTTz7R+TsYNGgQYmJiEB4ejkaNGum09dq1a3Bzc8OpU6e0jn/22WeIiIiAeveb5ORkPP744wgICECtWrUwatQo3Lp1S3N+fHw8OnXqhOrVqyM4OBgDBgzAlStXtN5HJpNh69at6Nq1K3x8fLBhwwYAwBNPPIETJ07g6tWrRr+vRK6EwQ2RE/rkk0/Qvn17vPDCC1AqlVAqlahbt67ec+/du4dPP/0UmzdvRnx8PA4cOIDBgwdj9+7d2L17N7755ht88cUX2L59u+aacePG4ciRI9i8eTN+++03PPPMM+jbty8uXbpksE2HDh1C27ZttY79+OOPGDx4MPr374+zZ89i3759WucUFhbi3Xffxa+//oodO3YgJSUFY8eONfge586dQ58+fTB48GD89ttv2LJlCw4fPoxp06ZpnffRRx9pgpYpU6Zg8uTJ+OOPPwAAeXl5GDBgABo3bozTp09j/vz5ePnll7WuV6lUqFOnDrZu3Yrk5GTMnTsXb7zxBrZu3ap13r59+3DhwgXs2bMHP/zwg057IyMj0bNnT6xbt07r+Lp16zB27FjIZDIolUp06dIFLVu2xKlTpxAfH4+///4bQ4cO1Zyfl5eH2bNn4+TJk9i3bx/c3Nzw1FNP6eTSvPbaa5gxYwYuXLiAPn36AAAiIiIQGhqKX375xeD3lcjl2GxLTiKyqS5duoiXXnpJ65h6h171brvr1q0TAMTly5c150ycOFH4+fmJ3NxczbE+ffqIiRMnCiGEuHz5spDJZCItLU3r3j169BBz5swx2B65XK6zs3P79u3FyJEjJffpxIkTAoCmbeX7M2rUKPHiiy9qXfPLL78INzc3cf/+fSGEEBEREeK5557TvK5SqURoaKhYuXKlEEKI1atXi6CgIJGXl6c5Z+XKlQKAOHv2rMG2TZkyRTz99NOaP48ZM0bUqlXL5O7lW7ZsETVq1BD5+flCCCGSkpKETCbT7Jj89ttvi969e2tdc/36dQFA/Pnnn3rvmZGRIQBodmdOSUkRAMSyZcv0nt+qVSsxf/58o+0kciUcuSFycX5+fmjQoIHmz7Vq1UJkZCQCAgK0jqmng86cOQMhBBo1aoSAgADN18GDB7WmQsq7f/++zpRUUlISevToYfCas2fP4sknn0RERASqVauGrl27AgBSU1P1nn/69GmsX79eq119+vSBSqVCSkqK5rzmzZtr/l8mk0GhUGj6d+HCBbRo0QJ+fn6ac9q3b6/zXqtWrULbtm1Rs2ZNBAQE4Msvv9RpV7NmzeDl5WWwfwAwaNAgeHh4IDY2FgCwdu1adOvWDZGRkZo+7d+/X6tPDz30EABovt9XrlzBiBEj8MADDyAwMBD169fX+30qP3Km5uvri3v37hltJ5Er8bB3A4jItjw9PbX+LJPJ9B5TT3GoVCq4u7vj9OnTcHd31zqvbEBUXkhICG7fvq11zNfX1+D5eXl56N27N3r37o0NGzagZs2aSE1NRZ8+fQwm56pUKkycOBEzZszQea1evXqa/zfWP/FvnosxW7duxaxZs/DRRx+hffv2qFatGpYsWYLjx49rnefv72/yXl5eXhg1ahTWrVuHwYMHY+PGjVi2bJlWnwYOHIhFixbpXBsWFgYAGDhwIOrWrYsvv/wS4eHhUKlUiI6O1vk+GWpPVlYWatasabKtRK6CwQ2Rk/Ly8tJKAraWVq1aoaSkBBkZGejcubNZ1yUnJ2sda968Ofbt24dx48bpnP/HH3/g1q1b+OCDDzT5QuUTb8tr3bo1fv/9dzRs2FByu8qLiorCN998g/v372uCr2PHjmmd88svv6BDhw6YMmWK5pixUStTnn/+eURHR2PFihUoKirSSqpu3bo1vvvuO0RGRsLDQ/cjOTMzExcuXMDq1as1fx+HDx+W/N75+fm4cuUKWrVqZXH7iZwNp6WInFRkZCSOHz+Oa9eu4datW1Yr1NaoUSOMHDkSo0ePxvfff4+UlBScPHkSixYtwu7duw1e16dPH52H7rx587Bp0ybMmzcPFy5cwLlz57B48WIApSMtXl5e+Oyzz3D16lXExcXh3XffNdq21157DYmJiZg6dSqSkpJw6dIlxMXFYfr06ZL7N2LECLi5uWHChAlITk7G7t278eGHH2qd07BhQ5w6dQo//fQTLl68iLfffhsnT56U/B7lNWnSBI8++ihee+01DB8+XGtEa+rUqcjKysLw4cM1q5p+/vlnjB8/HiUlJahRowaCg4PxxRdf4PLly0hISMDs2bMlv/exY8fg7e2td+qNyFUxuCFyUi+//DLc3d0RFRWlmdKxlnXr1mH06NH4v//7PzRu3BhPPPEEjh8/bnBFFgA899xzSE5Oxp9//qk51rVrV2zbtg1xcXFo2bIlunfvrpnaqVmzJtavX49t27YhKioKH3zwgU6QUV7z5s1x8OBBXLp0CZ07d0arVq3w9ttva6ZvpAgICMCuXbuQnJyMVq1a4c0339SZEpo0aRIGDx6MYcOGoV27dsjMzNQaxbHEhAkTUFhYiPHjx2sdDw8Px5EjR1BSUoI+ffogOjoaL730EuRyOdzc3ODm5obNmzfj9OnTiI6OxqxZs7BkyRLJ77tp0yaMHDlSK8eIyNXJhJQJaCIiCV599VVkZ2dj9erV9m6Kw3nvvfewefNmnDt3rtLe859//sFDDz2EU6dOaZKQiaoCjtwQkdW8+eabiIiIsEkukLO6e/cuTp48ic8++0xvIrQtpaSkYMWKFQxsqMrhyA0RkQ2NHTsWmzZtwqBBg7Bx40adFWhEZH0MboiIiMilcFqKiIiIXAqDGyIiInIpDG6IiIjIpTC4ISIiIpfC4IaIiIhcCoMbIiIicikMboiIiMilMLghIiIil8LghoiIiFzK/wP9Iq8HMkmbTwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(corn_year,corn_kcal_per_acre,\"o\",label=\"corn\")\n",
"plt.xlabel(\"time (calendar year)\")\n",
"plt.ylabel(\"kcal/acre\")\n",
"plt.title(\"US Agriculture yields, NASS (USDA)\")\n",
"plt.legend()\n",
"\n",
"#plt.show()\n",
"#plt.savefig(\"bear-quadratic.pdf\")"
]
},
{
"cell_type": "markdown",
"id": "fa891f0e",
"metadata": {},
"source": [
"## Wheat"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "263ea341",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ nan, 2022. , nan, nan, nan, nan, nan, nan,\n",
" nan, nan, nan, nan, nan, 0. , nan, nan,\n",
" nan, nan, 46.5, nan],\n",
" [ nan, 2021. , nan, nan, nan, nan, nan, nan,\n",
" nan, nan, nan, nan, nan, 0. , nan, nan,\n",
" nan, nan, 44.3, nan],\n",
" [ nan, 2020. , nan, nan, nan, nan, nan, nan,\n",
" nan, nan, nan, nan, nan, 0. , nan, nan,\n",
" nan, nan, 49.7, nan]])"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"csv=np.genfromtxt ('./data/wheat.csv',\n",
" skip_header=1,\n",
" delimiter=\",\")\n",
"csv[0:3]\n",
"#csv[0:3].astype(float)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "5aa38243",
"metadata": {},
"outputs": [],
"source": [
"wheat_year=csv[:,1]\n",
"wheat_bu_per_acre=csv[:,-2]\n",
"\n",
"wheat_lbs_per_bu=60\n",
"#grams_per_lbs\n",
"wheat_kcal_per_gram=327.0/100.0\n",
"\n",
"wheat_kcal_per_acre=wheat_bu_per_acre*wheat_lbs_per_bu*grams_per_lbs*wheat_kcal_per_gram"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "5dd77124",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(corn_year,corn_bu_per_acre,\"o\",label=\"Corn (BU/ACRE)\")\n",
"plt.plot(wheat_year,wheat_bu_per_acre,\"x\",label=\"Wheat (BU/ACRE)\")\n",
"plt.xlabel(\"time (calendar year)\")\n",
"plt.ylabel(\"Average per acre production\")\n",
"plt.title(\"US Agriculture yields, NASS (USDA)\")\n",
"plt.legend()\n",
"plt.yscale(\"log\")\n",
"#plt.show()\n",
"#plt.savefig(\"bear-quadratic.pdf\")"
]
},
{
"cell_type": "markdown",
"id": "89c8f489",
"metadata": {},
"source": [
"## Potatoes"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "c31828d0",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ nan, 2022., nan, nan, nan, nan, nan, nan, nan,\n",
" nan, nan, nan, nan, 0., nan, nan, nan, nan,\n",
" 438., nan],\n",
" [ nan, 2021., nan, nan, nan, nan, nan, nan, nan,\n",
" nan, nan, nan, nan, 0., nan, nan, nan, nan,\n",
" 444., nan],\n",
" [ nan, 2020., nan, nan, nan, nan, nan, nan, nan,\n",
" nan, nan, nan, nan, 0., nan, nan, nan, nan,\n",
" 461., nan]])"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"csv=np.genfromtxt ('./data/potatoes.csv',\n",
" skip_header=1,\n",
" delimiter=\",\")\n",
"csv[0:3]\n",
"#csv[0:3].astype(float)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "86091fed",
"metadata": {},
"outputs": [],
"source": [
"potatoes_year=csv[:,1]\n",
"potatoes_cwt_per_acre=csv[:,-2]\n",
"\n",
"lbs_per_cwt=100\n",
"#grams_per_lbs\n",
"potatoes_kcal_per_gram=77.0/100.0\n",
"potatoes_kcal_per_acre=potatoes_cwt_per_acre*lbs_per_cwt*grams_per_lbs*potatoes_kcal_per_gram"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "5ea8b2ac",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(corn_year,corn_bu_per_acre,\"o\",label=\"Corn (BU/ACRE)\")\n",
"plt.plot(wheat_year,wheat_bu_per_acre,\"x\",label=\"Wheat (BU/ACRE)\")\n",
"plt.plot(potatoes_year,potatoes_cwt_per_acre,\"+\",label=\"Potatoes (CWT / ACRE)\")\n",
"plt.xlabel(\"time (calendar year)\")\n",
"plt.ylabel(\"Average per acre production\")\n",
"plt.title(\"US Agriculture yields, NASS (USDA)\")\n",
"plt.legend()\n",
"plt.yscale(\"log\")\n",
"#plt.show()\n",
"#plt.savefig(\"bear-quadratic.pdf\")"
]
},
{
"cell_type": "markdown",
"id": "0201b588",
"metadata": {},
"source": [
"## Soybeans"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "ce223c5b",
"metadata": {},
"outputs": [],
"source": [
"csv=np.genfromtxt ('./data/soybeans.csv',\n",
" skip_header=1,\n",
" delimiter=\",\")\n",
"csv[0:3]\n",
"#csv[0:3].astype(float)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "12fe395c",
"metadata": {},
"outputs": [],
"source": [
"soybeans_year=csv[:,1]\n",
"soybeans_bu_per_acre=csv[:,-2]"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "ae3f6ad4",
"metadata": {},
"outputs": [],
"source": [
"plt.plot(corn_year,corn_bu_per_acre,\"o\",label=\"Corn (BU/ACRE)\")\n",
"plt.plot(wheat_year,wheat_bu_per_acre,\"x\",label=\"Wheat (BU/ACRE)\")\n",
"plt.plot(potatoes_year,potatoes_cwt_per_acre,\"+\",label=\"Potatoes (CWT / ACRE)\")\n",
"plt.plot(soybeans_year,soybeans_bu_per_acre,\"*\",label=\"Soybeans (BU/ACRE)\")\n",
"plt.xlabel(\"time (calendar year)\")\n",
"plt.ylabel(\"Average per acre production\")\n",
"plt.title(\"US Agriculture yields, NASS (USDA)\")\n",
"plt.legend()\n",
"plt.yscale(\"log\")\n",
"#plt.show()\n",
"#plt.savefig(\"bear-quadratic.pdf\")"
]
},
{
"cell_type": "markdown",
"id": "c68984fa",
"metadata": {},
"source": [
"## Sugarbeets"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "6e74b0b8",
"metadata": {},
"outputs": [],
"source": [
"csv=np.genfromtxt ('./data/sugarbeets.csv',\n",
" skip_header=1,\n",
" delimiter=\",\")\n",
"csv[0:3]\n",
"#csv[0:3].astype(float)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "ab73b355",
"metadata": {},
"outputs": [],
"source": [
"sugarbeets_year=csv[:,1]\n",
"sugarbeets_tons_per_acre=csv[:,-2]"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "cbaa454a",
"metadata": {},
"outputs": [],
"source": [
"plt.plot(corn_year,corn_bu_per_acre,\"o\",label=\"Corn (BU/ACRE)\")\n",
"plt.plot(wheat_year,wheat_bu_per_acre,\"x\",label=\"Wheat (BU/ACRE)\")\n",
"plt.plot(potatoes_year,potatoes_cwt_per_acre,\"+\",label=\"Potatoes (CWT / ACRE)\")\n",
"plt.plot(soybeans_year,soybeans_bu_per_acre,\"*\",label=\"Soybeans (BU/ACRE)\")\n",
"plt.plot(sugarbeets_year,sugarbeets_tons_per_acre,\".\",label=\"Sugarbeets (TONS/ACRE)\")\n",
"plt.xlabel(\"time (calendar year)\")\n",
"plt.ylabel(\"Average per acre production\")\n",
"plt.title(\"US Agriculture yields, NASS (USDA)\")\n",
"plt.legend()\n",
"plt.yscale(\"log\")\n",
"#plt.show()\n",
"#plt.savefig(\"bear-quadratic.pdf\")"
]
},
{
"cell_type": "markdown",
"id": "884a7b05",
"metadata": {},
"source": [
"## Sunflowers"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "846722a4",
"metadata": {},
"outputs": [],
"source": [
"csv=np.genfromtxt ('./data/sunflowers.csv',\n",
" skip_header=1,\n",
" delimiter=\",\")\n",
"csv[0:3]\n",
"#csv[0:3].astype(float)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "c79d0d11",
"metadata": {},
"outputs": [],
"source": [
"sunflowers_year=csv[:,1]\n",
"sunflowers_lbs_per_acre=csv[:,-2]"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "569111b9",
"metadata": {},
"outputs": [],
"source": [
"plt.plot(corn_year,corn_bu_per_acre,\"o\",label=\"Corn (BU/ACRE)\")\n",
"plt.plot(wheat_year,wheat_bu_per_acre,\"x\",label=\"Wheat (BU/ACRE)\")\n",
"plt.plot(potatoes_year,potatoes_cwt_per_acre,\"+\",label=\"Potatoes (CWT / ACRE)\")\n",
"plt.plot(soybeans_year,soybeans_bu_per_acre,\"*\",label=\"Soybeans (BU/ACRE)\")\n",
"plt.plot(sugarbeets_year,sugarbeets_tons_per_acre,\".\",label=\"Sugarbeets (TONS/ACRE)\")\n",
"plt.plot(sunflowers_year,sunflowers_lbs_per_acre,\"d\",label=\"Sunflowers (LB/ACRE)\")\n",
"plt.xlabel(\"time (calendar year)\")\n",
"plt.ylabel(\"Average per acre production\")\n",
"plt.title(\"US Agriculture yields, NASS (USDA)\")\n",
"plt.legend()\n",
"plt.yscale(\"log\")\n",
"#plt.show()\n",
"#plt.savefig(\"bear-quadratic.pdf\")"
]
},
{
"cell_type": "markdown",
"id": "e2b51946",
"metadata": {},
"source": [
"### All together, kcal/acre"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "f04309c4",
"metadata": {},
"outputs": [],
"source": [
"plt.plot(corn_year,corn_kcal_per_acre,\"o\",label=\"Corn\")\n",
"plt.plot(wheat_year,wheat_kcal_per_acre,\"x\",label=\"Wheat\")\n",
"plt.plot(potatoes_year,potatoes_kcal_per_acre,\"+\",label=\"Potatoes\")\n",
"plt.plot(soybeans_year,soybeans_kcal_per_acre,\"*\",label=\"Soybeans\")\n",
"#plt.plot(sugarbeets_year,sugarbeets_kcal_per_acre,\".\",label=\"Sugarbeets\")\n",
"plt.plot(sunflowers_year,sunflowers_kcal_per_acre,\"d\",label=\"Sunflowers\")\n",
"plt.xlabel(\"time (calendar year)\")\n",
"plt.ylabel(\"Average per acre production\")\n",
"plt.title(\"US Agriculture yields, NASS (USDA)\")\n",
"plt.legend()\n",
"plt.yscale(\"log\")\n",
"#plt.show()\n",
"#plt.savefig(\"bear-quadratic.pdf\")"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.13"
}
},
"nbformat": 4,
"nbformat_minor": 5
}