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@birchpoplar
Created March 27, 2023 01:34
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Huber Loss Analysis
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{
"cells": [
{
"cell_type": "markdown",
"id": "39bed477",
"metadata": {},
"source": [
"# Huber Loss\n",
"Define a function to return huber loss from input alpha and delta. Also include quad, which will switch in and out the quadratic portion of the function, defaults to True."
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "88d3ca0e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f866c1befe0>"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Define the huber_loss function\n",
"def huber_loss(alpha, delta, quad=True):\n",
" if abs(alpha) <= delta and quad:\n",
" return 1/2 * (alpha ** 2)\n",
" else:\n",
" return delta * (abs(alpha) - 1/2 * delta)\n",
"\n",
"# Set the values of alpha and delta that you want to vary over\n",
"alpha_vals = np.linspace(-10, 10, 201)\n",
"delta_vals = np.linspace(0, 5, 11)\n",
"\n",
"# Set quad for huber loss calc\n",
"quad = True\n",
"\n",
"# Create an empty array to store the results\n",
"results = np.zeros((len(delta_vals), len(alpha_vals)))\n",
"\n",
"# Loop over the alpha and delta values, and calculate the huber loss for each combination\n",
"for i, delta in enumerate(delta_vals):\n",
" for j, alpha in enumerate(alpha_vals):\n",
" results[i, j] = huber_loss(alpha, delta, quad)\n",
"\n",
"# Create a single plot with multiple series for different values of delta\n",
"fig, ax = plt.subplots(figsize=(10, 6))\n",
"for i, delta in enumerate(delta_vals):\n",
" ax.plot(alpha_vals, results[i, :], label=f\"Delta = {delta}\")\n",
"\n",
"# Set the axis labels and title\n",
"ax.set_xlabel('Alpha')\n",
"ax.set_ylabel('Huber Loss')\n",
"ax.set_title('Huber Loss for Different Values of Delta')\n",
"\n",
"# Add a legend\n",
"ax.legend()"
]
},
{
"cell_type": "markdown",
"id": "5e6e5b5d",
"metadata": {},
"source": [
"## Examine the Loss = 0 and alpha = 0 properties\n",
"Define function to return both."
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "7e089302",
"metadata": {},
"outputs": [],
"source": [
"def huber_loss_properties(delta, quad):\n",
" \"\"\"\n",
" Computes the huber loss when alpha is zero, and the value of alpha that gives a huber loss of zero.\n",
" \n",
" Parameters:\n",
" delta (float): The delta parameter of the huber loss function.\n",
" \n",
" Returns:\n",
" A tuple containing the following values:\n",
" - huber_loss_at_zero_alpha (float): The value of the huber loss when alpha is zero.\n",
" - alpha_for_zero_huber_loss (float): The value of alpha that gives a huber loss of zero.\n",
" \"\"\"\n",
" # Calculate the huber loss when alpha is zero\n",
" huber_loss_at_zero_alpha = huber_loss(0, delta, quad)\n",
" \n",
" # Check if the huber loss is zero when alpha is positive\n",
" alpha_for_zero_huber_loss = 1/2 * delta\n",
" \n",
" return huber_loss_at_zero_alpha, alpha_for_zero_huber_loss\n"
]
},
{
"cell_type": "markdown",
"id": "bb75b103",
"metadata": {},
"source": [
"Now execute function across range of delta values:"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "58fdb7ce",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Delta Huber Loss at Alpha=0 Alpha for Zero Huber Loss\n",
"0 0.00 0.0 0.000\n",
"1 0.25 0.0 0.125\n",
"2 0.50 0.0 0.250\n",
"3 0.75 0.0 0.375\n",
"4 1.00 0.0 0.500\n",
"5 1.25 0.0 0.625\n",
"6 1.50 0.0 0.750\n",
"7 1.75 0.0 0.875\n",
"8 2.00 0.0 1.000\n",
"9 2.25 0.0 1.125\n",
"10 2.50 0.0 1.250\n",
"11 2.75 0.0 1.375\n",
"12 3.00 0.0 1.500\n",
"13 3.25 0.0 1.625\n",
"14 3.50 0.0 1.750\n",
"15 3.75 0.0 1.875\n",
"16 4.00 0.0 2.000\n",
"17 4.25 0.0 2.125\n",
"18 4.50 0.0 2.250\n",
"19 4.75 0.0 2.375\n",
"20 5.00 0.0 2.500\n"
]
}
],
"source": [
"# Define the range of delta values to use\n",
"delta_vals = np.linspace(0, 5, 21)\n",
"\n",
"# Create an empty list to store the results\n",
"results = []\n",
"\n",
"quad = True\n",
"\n",
"# Loop over the delta values and compute the huber loss properties for each one\n",
"for delta in delta_vals:\n",
" huber_loss_at_zero_alpha, alpha_for_zero_huber_loss = huber_loss_properties(delta, quad)\n",
" results.append([delta, huber_loss_at_zero_alpha, alpha_for_zero_huber_loss])\n",
"\n",
"# Create a Pandas DataFrame from the results\n",
"df = pd.DataFrame(results, columns=['Delta', 'Huber Loss at Alpha=0', 'Alpha for Zero Huber Loss'])\n",
"\n",
"# Display the DataFrame\n",
"print(df)"
]
},
{
"cell_type": "markdown",
"id": "d9fc68dc",
"metadata": {},
"source": [
"Plot loss data:"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "14076b09",
"metadata": {},
"outputs": [
{
"data": {
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2buwPP/ywPvnkE7Vs2VKlSpVSs2bN1LZtW7Vo0eKS5583b55eeuklrV+/PkWteFq4XC41adIkTcdeSmK9/bkKFiyo//77L2n777//VsmSJd1e5F6OC/0+5cqVS+XLl0+6P1FkZGSKr03BggX1+++/X/I6wcHBioqKcttfvHhxFShQIMV10svx48clKelFcuLvSePGjVM93tvuPKdOndLw4cM1ZcoU7d69W47jJN3nzXwfwJ+R6AOZ6EIJy/kT/Dw5R0JCgoKCgvTtt9+m2sEjcRQtka86zLRt21Y33XSTPv/8c3333Xd6/fXX9eqrr+qzzz5LqiceOXKkunXrpi+++ELfffed+vfvnzQ3IbWk/VxpTfIy4/knjta//vrrF1xgKD2/L4nX69Sp0wVfXCS+u3T11Vfrr7/+0rx58zR//nzNmTNH48aN03PPPafnn3/+gtf48MMP1a1bN7Vp00aPPfaYihUrJpfLpeHDhyfNhZCkYsWKaf369VqwYIG+/fZbffvtt5oyZYq6dOmiadOmXfD8P/74o1q3bq0GDRpo3LhxKlGihHLmzKkpU6ZccqJwWnj6u5fVu+FIF47x3MT2YjJ7AaoNGzZIUtILjMSf2+nTp6t48eIpjve2fWy/fv00ZcoUDRgwQHXq1FF4eLiCgoLUvn37dO/lD2R1JPpAJkocwT2/g8bFRtC2bNniNmK6detWJSQkJE1Sq1ChghzHUbly5ZImuGWWMmXKSLIJrufbvHmzihQp4tYmskSJEnr44Yf18MMPa//+/apevbpefvllt4mD1113na677jo988wzWr58uerVq6cJEybopZdeytDncaHnkHj/uRJHIhM5jqOtW7cmJdOJkwLDwsIua4Q5rYlY0aJFFRoaqvj4+DRdL1++fGrXrp3atWunM2fO6K677tLLL7+sIUOGXLBt5+zZs1W+fHl99tlnbnGlVraSK1cu3X777br99tuVkJCghx9+WBMnTtSzzz6bYhQ50Zw5c5Q7d24tWLDAra/8lClTLvl80sKb371LqVChghYsWKDDhw9fdFQ/rd/Hc3+fEt/pkqzj0bZt29Lt3YoyZcooISFBW7ZsSXrXSrIJ3UeOHEnx855epk+frqCgIDVt2lRS8u9JsWLFvHpuF/q6zp49W127dnUr2zp9+nSK7z2QHVCjD2SisLAwFSlSRMuWLXPbP27cuAs+JrHFYqIxY8ZIUlJyfNddd8nlcun5559PMZLnOI4OHTqUHqGnqkSJEqpataqmTZvm9k90w4YN+u6773TrrbdKslHT898yL1asmEqWLJlUonH06FHFxcW5HXPdddcpODg4w1e3vfXWW7Vq1SqtWLEiad+JEyc0adIklS1bVpUrV3Y7/oMPPkiqM5YssdizZ0/S96RGjRqqUKGC3njjjaRyhXMdOHAgTXElvki6VILicrl09913a86cOUmjphe63vk/D7ly5VLlypXlOM5Fu0Qljh6f+zO2cuVKt69ZaucPDg5OegF0se+jy+VSUFCQ2wj79u3b023l0zJlysjlcnn0u3cpd999txzHSfWdkHO/Tvny5UtTktmkSRPlypVLb7/9ttvjJ0+erJiYmDR3HrqUxN/L0aNHu+0fNWqUJKXbdc41YsQIfffdd2rXrl1S6Vvz5s0VFhamV155JdWfvUv9nlzo6+pyuVL8LRwzZoxH75wCgYIRfSCT9ezZUyNGjFDPnj1Vs2ZNLVu2LEVf6XNt27ZNrVu3VosWLbRixQp9+OGH6tixY9JqnxUqVNBLL72kIUOGaPv27WrTpo1CQ0O1bds2ff755+rdu7cGDx58WTGPGjUqRUu64OBgPfXUU3r99dfVsmVL1alTRz169EhqrxkeHp7U5/3YsWOKjIzUPffcoypVqih//vxatGiRVq9enTTqtmTJEvXt21f33nuvrrzySsXFxWn69OlJSWxGevLJJ/Xxxx+rZcuW6t+/vwoVKqRp06Zp27ZtmjNnjtvESEkqVKiQ6tevr+7du2vfvn0aPXq0oqKi1KtXr6SvzXvvvaeWLVvqmmuuUffu3VWqVCnt3r1bS5cuVVhYWNJ8goupUaOGJKl///5q3ry5XC6X2rdvn+qxI0aM0NKlS1W7dm316tVLlStX1uHDh/Xrr79q0aJFOnz4sCSpWbNmKl68uOrVq6eIiAht2rRJ77zzjlq1auU2wfh8t912mz777DPdeeedatWqlbZt26YJEyaocuXKbi9mevbsqcOHD6tx48aKjIzUjh07NGbMGFWtWtVt9Ph8rVq10qhRo9SiRQt17NhR+/fv19ixYxUVFXXJmvO0CA8P17333qsxY8YoKChIFSpU0Lx585LmLnjj5ptvVufOnfX2229ry5YtatGihRISEvTjjz/q5ptvVt++fSXZ93HRokVJC7eVK1cu1TkhRYsW1ZAhQ/T888+rRYsWat26tf766y+NGzdON9xwQ7otBlalShV17dpVkyZN0pEjR9SwYUOtWrVK06ZNU5s2bXTzzTd7fe64uDh9+OGHkmwUfceOHfryyy/1+++/6+abb3abQxIWFqbx48erc+fOql69utq3b6+iRYtq586d+vrrr1WvXj298847F7zWhb6ut912m6ZPn67w8HBVrlxZK1as0KJFi9za7ALZhg86/QABI7E93urVq1O9v2HDhilaGZ48edLp0aOHEx4e7oSGhjpt27Z19u/ff8H2mhs3bnTuueceJzQ01ClYsKDTt29f59SpUymuNWfOHKd+/fpOvnz5nHz58jmVKlVy+vTp4/z1118XjediEmNI7eZyuZKOW7RokVOvXj0nT548TlhYmHP77bc7GzduTLo/NjbWeeyxx5wqVao4oaGhTr58+ZwqVao448aNSzrmn3/+ce6//36nQoUKTu7cuZ1ChQo5N998s7No0aJLxpnWFoBlypRxWrVqlep9f//9t3PPPfc4BQoUcHLnzu3UqlXLmTdvntsxiS0aP/74Y2fIkCFOsWLFnDx58jitWrVyduzYkeKc69atc+666y6ncOHCTkhIiFOmTBmnbdu2zuLFi5OOuVgL07i4OKdfv35O0aJFnaCgILf2guf/vDiO4+zbt8/p06ePU7p0aSdnzpxO8eLFnVtuucWZNGlS0jETJ050GjRokBRThQoVnMcee8yJiYm56NcuISHBeeWVV5wyZco4ISEhTrVq1Zx58+Y5Xbt2dcqUKZN03OzZs51mzZo5xYoVc3LlyuVcccUVzgMPPODs2bPnoud3HMeZPHmyU7FiRSckJMSpVKmSM2XKlFTbKqYmLT8DBw4ccO6++24nb968TsGCBZ0HHnjA2bBhQ6rtNVM7V2qxxMXFOa+//rpTqVIlJ1euXE7RokWdli1bOmvXrk06ZvPmzU6DBg2cPHnyOJKSWkKe314z0TvvvONUqlTJyZkzpxMREeE89NBDzn///ed2zIV+l8//flzI2bNnneeff94pV66ckzNnTqd06dLOkCFDnNOnT6c4nyftNc/9G5E3b16nbNmyzt133+3Mnj3brWXouZYuXeo0b97cCQ8Pd3Lnzu1UqFDB6datm7NmzZqkY1L72l/o6/rff/853bt3d4oUKeLkz5/fad68ubN582anTJkyqbbjBAJZkOOkcdYOAGRz33//vW6++WZ9+umnuueee3wdDgAAF0WNPgAAABCASPQBAACAAESiDwAAAAQgavQBAACAAMSIPgAAABCASPQBAACAAMSCWekgLi5O69atU0RERIqFdQAAAOB7CQkJ2rdvn6pVq6YcObJHCpw9nmUGW7dunWrVquXrMAAAAHAJq1at0g033ODrMDIFiX46iIiIkGQ/OCVKlPBxNAAAADjfnj17VKtWraS8LTsg0U8HieU6JUqUUGRkpI+jAQAAwIVkpzLr7PNMAQAAgGyERB8AAAAIQCT6AAAAQACiRh8AAABZmuM4iouLU3x8/AWPcblcypEjh4KCgjIxsqyNRB8AAABZ1pkzZ7Rnzx6dPHnyksfmzZtXJUqUUK5cuTIhsqyPRB8AAABZUkJCgrZt2yaXy6WSJUsqV65cqY7YO46jM2fO6MCBA9q2bZsqVqyYrbrrXAiJPgAAALKkM2fOKCEhQaVLl1bevHkvemyePHmUM2dO7dixQ2fOnFHu3LkzKcqsi5c6AAAAyNLSOjrPKL47vhoAAABAACLRBwAAAAIQiT4AAAAQgEj0AQAAgABEog8AAIAszXGcdD0uuyDRBwAAQJaUM2dOSUrTYlnnHpf4uOyORB8AAABZksvlUoECBbR//34dOnRIp06d0unTp1PcTp06pUOHDmn//v0qUKCAXC7X5V14+HDphhuk0FCpWDGpTRvpr78u/pipU6WgIPebj3v5s2AWAAAAMld0tLRli1SxohQZedFDixcvLknav3//JU9boECBpOMvyw8/SH36WLIfFyc99ZTUrJm0caOUL9+FHxcW5v6CIJVVfDMTiT4AAAAyz+TJUu/eUkKCFBwsTZok9ehxwcODgoJUokQJFStWTGfPnr3gcTlz5rz8kfxE8+e7b0+daiP7a9dKDRpc+HFBQVJ6vNBIJ5TuAAAAIHNERycn+ZJ9fOAB238JLpdLuXPnvuAtzUn+sWPS0aPJt9jYSz8mJsY+Fip08eOOH5fKlJFKl5buuEP688+0xZRBSPQBAACQ8RISpBdfTE7yE8XHS1u3ZloYYZUrS+Hhybfhwy/+gIQEacAAqV496dprL3zcVVdJ778vffGF9OGH9ri6ddP0IiajULoDAACAjHXwoNSli/Tttynvc7mkqKhMC+Xoxo0KK1UqeUdIyMUf0KePtGGD9NNPFz+uTh27JapbV7r6amniRHuB4wOM6AMAACDj/PijVLWqJfm5c1vCn1hm43JZInyJCbnpKjTUJs0m3i6W6PftK82bJy1d6nmMOXNK1apl6rsV5yPRBwAAQPpLSJBefllq1EjavdtKW1aulKZNk7Zvt+R5+/aLTsT1GcexJP/zz6UlS6Ry5Tw/R3y89McfUokS6R9fGlG6AwAAgPS1b5/UubO0cKFtd+4sjRsn5c9v25GRmTuK76k+faQZM6zePjRU2rvX9oeHS3ny2OddukilSiXX+L/wgnTjjVaGdOSI9Prr0o4dUs+ePnkKEok+AAAA0tOSJdJ991lynDevNHas1K2br6PyzPjx9rFRI/f9U6YkP5edO609aKL//pN69bLnXbCgVKOGtHy5VLlyZkScKhJ9AAAAXL74eJt0+sILVvpyzTXSJ5/4NNH1muNc+pjvv3fffvNNu2UhJPoAAAC4PHv22Cj+0qW23aOH9PbbNqIPnyHRBwAAgPcWLpQ6dZL275fy5bMuOvfd5+uoILruAAAAwBtxcdIzz0jNm1uSf/310tq1JPlZCCP6AAAA8Ex0tNSxo/XIl6QHH5RGjUruSIMsgUQfAAAAaffNN9Za8tAhaz357rtSu3a+jgqpoHQHAAAAl3b2rPT441KrVpbkV68u/forSX4Wxog+AAAALm7nTql9e2nFCtvu188WhAoJ8W1cuCgSfQAAAFzYl1/aIlH//Wcrw77/vnTXXb6OCmlA6Q4AAABSOnNGGjhQuuMOS/JvuEFat44k34+Q6AMAAMDdtm1S/frS6NG2PXCg9NNPUrlyPg0LnqF0BwAAAMk++0y6/34pJkYqWFCaOlVq3drXUcELJPoAAADZXXS09Oef0syZlthLUp06tn3FFT4NDd4j0QcAAMjOJk+WeveWEhKS9z3+uPTSS1LOnL6LC5eNRB8AACC7io6WevWSHCd5X3Cwtc8kyfd7TMYFAADIjk6dkh56yD3Jl2xkf+tW38SEdEWiDwAAkN389Zd0443SvHkp73O5pKiozI8J6Y5EHwAAIDv58EOpRg3p99+lYsWsdabLZfe5XNLEiVJkpG9jRLqgRh8AACA7OHlS6ttXmjLFtm++WfroI6lECWnQICvXiYoiyQ8gJPoAAACB7s8/pbZtpY0bpaAgaehQ6ZlnkkfyIyNJ8AMQiT4AAECgchzri9+nj02+LV5cmjHDRvMR8Ej0AQAAAtHx49LDD0vTp9t206ZWn1+smG/jQqZhMi4AAECg+f13qWZNS/KDg6WXX5bmzyfJz2YY0QcAAAgUjiO9+67Uv78UGyuVKiV9/LF0002+jgw+QKIPAAAQCI4elR54QJo507ZbtpQ++EAqUsS3ccFnKN0BAADwd+vWWW/8mTOtk85rr9liWCT52Roj+gAAAP7KcaRx46wP/pkz0hVXWLJfp46vI0MWQKIPAADgj44ckXr2lObMse3WrW0xrEKFfBoWsg5KdwAAAPzN6tVS9eqW5OfMKb35pjR3Lkk+3DCiDwAA4C8cR3rrLenxx6WzZ6WyZaVPPpFuuMHXkSELItEHAADwB4cPS927S19+adt33SVNniwVKODTsJB1UboDAACQ1a1YIVWrZkl+rlzSO+9Is2eT5OOi/C7RHzvW3qXKnVuqXVtaterix3/6qVSpkh1/3XXSN99c+NgHH5SCgqTRo9MzYgAAAC8lJEivvy41aCDt3ClVqGBJf58+lrQAF+FXif6sWdY9auhQ6ddfpSpVpObNpf37Uz9++XKpQwepRw9rL9umjd02bEh57OefS7/8IpUsmZHPAAAAIA2io21ybZMmVo8fFye1a2cJUPXqvo4OfsKvEv1Ro6Revaw8rXJlacIEKW9e6f33Uz/+rbekFi2kxx6Trr5aevFF+9145x3343bvlvr1kz76yCauAwAA+MzkyVKZMtKdd0pLl0o5ckgTJ0offyyFhfk6OvgRv0n0z5yR1q61F7aJgoNte8WK1B+zYoX78ZK9A3Du8QkJUufO9mLgmmvSFktsrK0ynXg7dsyz5wIAAJCqnTttVDMhIXlfQoJ0662U6sBjfpPoHzwoxcdLERHu+yMipL17U3/M3r2XPv7VV+2Fcv/+aY9l+HApPDz5Vrly2h8LAACQqv37rZOO47jvT0iQtm71TUzwa36T6GeEtWutvGfqVM9eJA8ZIsXEJN82bsywEAEAQHawdKlNPly7NuV9LpcUFZX5McHv+U2iX6SI/Zzv2+e+f98+qXjx1B9TvPjFj//xR3vxfMUVNqqfI4e0Y4f06KPW2edCQkKsRC7xFhrq9dMCAADZWXy89PzzVmu8d6+VCTz/vCU9kn2cOFGKjPRtnPBLfpPo58ol1aghLV6cvC8hwbbr1En9MXXquB8vSQsXJh/fubP0++/S+vXJt5IlrV5/wYIMeBIAAACJ9uyRmjaVhg2zpKZ7d+sb/txz0vbtNsq/fbu1DwS84Fcr4w4aJHXtKtWsKdWqZf3uT5yw3wtJ6tJFKlXKaugl6ZFHpIYNpZEjpVatpJkzpTVrpEmT7P7Che12rpw5bcT/qqsy7WkBAIDsZuFCqVMnKy3Il08aP95GIBNFRjKKj8vmV4l+u3bSgQP2QnfvXqlqVWn+/OQJtzt3WieeRHXrSjNmSM88Iz31lFSxorWkvfZaX0QPAACyvbg4G8F/5RWbdHvdddInn9jqnkA6C3Kc86d2w1PR0dEqXbq0du3apUhefQMAgNRER0sdO9okQUl64AHpzTelPHl8G1c2kR3zNb8a0QcAAPBL335rpTmHDlkXj0mTpPbtfR0VApzfTMYFAADwO2fPSk88YQteHTokVatmLTRJ8pEJGNEHAADICDt3WkK/YoVt9+kjvfGGlDu3b+NCtkGiDwAAkN6+/FLq1k367z8pPFyaPFm6+25fR4VshtIdAACA9HLmjPUDv+MOS/JvuEH69VeSfPgEI/oAAADpYds2K9VZtcq2BwyQXn3VVv0EfIBEHwAA4HJ99pl0//1STIxUsKA0darUurWvo0I2R+kOAACAt2JjpX79rDQnJka68UZp3TqSfGQJJPoAAADe2LpVqltXeucd2378cWnZMqlMGd/GBfw/SncAAAA89cknUs+e0rFjUuHC0gcfWK98IAthRB8AACCtTp2SHnxQatfOkvz69aX160nykSWR6AMAAFxKdLQ0bZpUvbo0caIUFCQ99ZS0dKkUGenr6IBUUboDAABwMZMnS716SY5j2/nzS3PmSM2a+TYu4BIY0QcAALiQLVvck3zJyncqV/ZdTEAakegDAACkZuNGG7U/N8mXpPh467gDZHEk+gAAAOebOlWqWVPavj3lfS6XFBWV2REBHiPRBwAASHT8uNS1q9S9u5XoNG0qjRplyb1kHydOZAIu/AKTcQEAACTpjz+ktm2lzZul4GDphRekIUPs83vvtXKdqCiSfPgNEn0AAJC9OY703ntS//7S6dNSyZLSxx9LDRokHxMZSYIPv0OiDwAAsq+jR6UHHpBmzrTtli2tX37Ror6NC0gH1OgDAIDsad06qUYNS/JdLunVV6V580jyETAY0QcAANmL40jjx0sDB0pnzkilS1uyX7euryMD0hWJPgAAyD5iYqSePaXZs2379tutlWahQj4NC8gIlO4AAIDsYfVqqVo1S/Jz5rS2mV98QZKPgMWIPgAACGyOI739tvTYY9LZs1LZstKsWVKtWr6ODMhQJPoAACBwHT4s3X+/jdxL0l13SZMnSwUK+DQsIDNQugMAAALTL79Yqc4XX0i5ckljxljZDkk+sgkSfQAAEFgSEqQ33pBuuknauVOqUEFavlzq21cKCvJ1dECmoXQHAAAEjoMHpW7dpK+/tu22baV335XCwnwaFuALjOgDAIDA8NNPUtWqluSHhEgTJlh/fJJ8ZFMk+gAAwL8lJEjDh0uNGkm7d0tXXimtXCk98AClOsjWSPQBAID/2r9fatlSeuopKT5e6tRJWrtWqlLF15HBnw0fLt1wgxQaKhUrJrVpI/3116Uf9+mnUqVKUu7c0nXXSd98k+GhXgyJPgAA8D/R0dKbb1oy9d13Up481jbzgw+k/Pl9HR383Q8/SH36WOemhQtt/YVmzaQTJy78mOXLpQ4dpB49pHXr7MVBmzbShg2ZFXUKQY7jOD67eoCIjo5W6dKltWvXLkVGRvo6HAAAAtu771pZTmIKU6KEJWPXXOPbuJClXVa+duCAjez/8IPUoEHqx7RrZy8E5s1L3nfjjTZvZMIEr+O+HIzoAwAA//Hrr1Lv3slJvmTlO+HhvosJ/uXYMeno0eRbbOylHxMTYx8LFbrwMStWSE2auO9r3tz2+wiJPgAA8A+LFkm33JJyf3y8tHVr5scDvxRWubK9MEy8DR9+8QckJEgDBkj16knXXnvh4/bulSIi3PdFRNh+H6GPPgAAyNri4qTnn5deftl9JD+RyyVFRWV+XPBLRzduVFipUsk7QkIu/oA+fazO/qefMjawDECiDwAAsq7du6WOHaVly2y7Vy+pWjWpXz8byXe5pIkTJebIIa1CQ9O+tkLfvlZzv2zZpX/GiheX9u1z37dvn+33ERJ9AACQNc2fL3XubKvd5s8vTZpkXU0k6fbbrVwnKookH+nPcezF5OefS99/L5Urd+nH1KkjLV5sZT6JFi60/T5Cog8AALKWs2elZ5+VXn3VtqtWlT75RKpYMfmYyEgSfGScPn2kGTOkL76wdwAS6+zDw62VqyR16SKVKpVc4//II1LDhtLIkVKrVrYq85o19gLVR5iMCwAAso6dO22F28Qk/+GHrWvJuUk+kNHGj7dOO40aWfvWxNusWcnH7Nwp7dmTvF23rr04mDTJFmybPVuaO/fiE3gzGCP6AAAga/jqK6lbN+nwYauhnjxZuuceX0eF7Cgty0x9/33Kfffea7csghF9AADgW2fOSI8+KrVubUl+zZq2sihJPnBZSPQBAIDvbNsm3XSTNGqUbQ8YYG0My5f3aVhAIKB0BwAA+Mbnn0vdu1stdIEC0tSp0h13+DoqIGAwog8AADJXbKzUv790112W5N94o7R+PUk+kM5I9AEAQOb5+2+pXj1pzBjbHjzYFiMqU8a3cQEBiNIdAACQOT75ROrZUzp2TCpcWJo2zfqNA8gQjOgDAICMdfq09NBDUrt2luTXr2+lOiT5QIYi0QcAABnnf/+zGvwJE2x7yBBp6VJWtQUyAaU7AAAgY3z0kfTAA9KJE1LRotL06VLz5r6OCsg2GNEHAADp6+RJq8Xv1MmS/EaNrFSHJB/IVCT6AAAg/WzaJNWuLU2eLAUFSc89Jy1aJJUs6evIgGyH0h0AAHB5oqOlLVts1P6ZZ2xEPyJCmjFDatzY19EB2RaJPgAA8N7kyVLv3lJCQvK+Jk2kDz+0ZB+Az1C6AwAAvBMdnTLJDwqS3nuPJB/IAkj0AQCA5xxHGj3aPclP3L9tm09CAuCO0h0AAOCZY8esbebHH6e8z+WSoqIyPyYAKTCiDwAA0m79eqlGDUvyXS7p7rvto2QfJ05kMSwgi2BEHwAAXJrj2Oq2AwdKsbFS6dLSzJlS3bpWq791q43kk+QDWQaJPgAAuLiYGKlXL+nTT2379tulKVOkwoVtOzKSBB/IgijdAQAAF7ZmjVS9uiX5OXJII0dKX3yRnOQDyLIY0QcAACk5jjRmjDR4sHT2rFSmjDRrlq16C8AvkOgDAAB3//0n3X+/NHeubd95py2MVbCgT8MC4BlKdwAAQLKVK6Vq1SzJz5VLevttac4cknzAD5HoAwAAW/hq5Eipfn1pxw6pfHlp+XKpXz9b7RaA36F0BwCA7O7QIalrV+nrr227bVtp0iQpPNy3cQG4LIzoAwCQnf38s1S1qiX5ISHS+PHWH58kH/B7JPoAAGRHCQnSiBFSw4a24FXFitIvv0gPPkipDhAgKN0BACC72b9f6tJFWrDAtjt2tFVvQ0N9GxeAdEWiDwBAdvLDD1KHDtKePVLu3NI771grTUbxgYBD6Q4AANlBfLz0wgtS48aW5F99tbR6tdSjB0k+EKBI9AEACHR790rNm0tDh1ptfrduluRfe62vIwNwIfHx0vr1toCdl/wu0R87Vipb1t5trF1bWrXq4sd/+qlUqZIdf9110jffJN939qz0xBO2P18+qWRJK1n8998MfQoAAGSexYutq87ixVLevNK0adKUKfaPD0DWMWCArUAtWZLfsKFUvbpUurT0/fdendKvEv1Zs6RBg2xA4tdfpSpVbIBi//7Uj1++3MoQe/SQ1q2T2rSx24YNdv/Jk3aeZ5+1j599Jv31l9S6dWY9IwAAMkB0tLRokSUOTZtK+/bZ6P2aNTaiBSDrmT3bkltJ+uorads2afNmaeBA6emnvTplkOM4TjqGmKFq15ZuuMHmDUn27mPp0rZo35NPpjy+XTvpxAlp3rzkfTfeaAMbEyakfo3Vq6VatWxRwCuuSFtc0dHRKl26tHbt2qXIyEiPnhMAAOlq8mSpd2/7J5moVy/prbekPHl8FxfgY1k+X8udW9q6VYqMtN/hvHml0aMt4a9SRTp61ONT+s2I/pkz0tq1UpMmyfuCg217xYrUH7Nihfvxkr0DcKHjJSkmxuYkFShw4WNiY+1rnXg7dizNTwMAgIwTHW1J/blJfnCw9NxzJPlAVhcRIW3caGU78+fbu3GSlaC4XF6d0m8S/YMH7XlHRLjvj4iwOUap2bvXs+NPn7aa/Q4dpLCwC8cyfLgtGJh4q1w57c8DAIAMcfas9Pjj0vlv1Cck2CghgKyte3epbVsrswsKSh6tXrnSJpx6gT76/+/sWfvaOo6t/n0xQ4bYXIFEu3eT7AMAfGjXLql9e5ucdj6XS4qKyvyYAHhm2DBL8nftku69VwoJsf0uV+o16mngN4l+kSL2PPftc9+/b59UvHjqjylePG3HJyb5O3ZIS5ZcfDRfsq974tde8qpkCgCA9DFvntS1q3T4sP0D69hRevddexvc5ZImTrSaXwBZ3z33uG8fOWK/317ym9KdXLmkGjWsO1iihATbrlMn9cfUqeN+vCQtXOh+fGKSv2WLNSgoXDj9YwcAIN2dOSM9+qh0++2W5NeoYS3kxo+Xtm+Xli61jz16+DpSAGnx6qvWYjJR27aWmEZGSr//7tUp/SbRl6xc5t13rQXwpk3SQw9ZV53u3e3+Ll2srCbRI4/YXIaRI6070bBh1lmsb1+7/+xZe+G0Zo300Uc2+LF3r93OnMn0pwcAQNps3y41aCCNGmXb/ftLP/8sVahg25GRUqNGjOQD/mTCBGsnKdnI9MKF0rffSi1aSIMHe3VKvyndkaxd5oED1jxg715rkzl/fvKE2507rblAorp1pRkzpGeekZ56SqpYUZo7N3khwN27pS+/tM+rVnW/1tKl9jcSAIAsZe5cG+E6csRaxE2ZYovEAPBve/cmJ/rz5tmIfrNmtlJs7dpendKjRP/gQen99609ZWLnmuLFLaHu1k0qWtSrGDzSt2/yiPz5Uls07N577ZaasmVTNicAACBLio21rjpvv23btWtLM2faPzMA/q9gQZuIW7q0jWS/9JLtdxwrO/FCmkt3Vq+WrrzS/r6Eh9s7hg0a2Odvv21df9as8SoGAABwMX//LdWrl5zkP/qotGwZST4QSO66yybTN20qHToktWxp+9et87pzVppH9Pv1s5HxCROstee5HEd68EE75mKLUQEAAA99+qnUs6e1eCtUyCaq3Xabr6MCkN7efNNevO/aJb32mpQ/v+3fs0d6+GGvThnkOGkrXsmTx15QXKhf/+bNUrVq0qlTXsXh17L8ksoAAP9z+rR1oUhc3KVePenjj5NreAF4JDvma2ku3SleXFq16sL3r1qVchVaAADghf/9T7rxxuQkf8gQ6xJBkg8Etr//thKZJk3s1r+/9M8/Xp8uzaU7gwdLvXtLa9dKt9ySnNTv22e96t99V3rjDa/jAAAAkrWLe+AB6fhxWy3yww+l5s19HRWAjLZggdS6tbWCrFfP9v38s1S5svTVV1a776E0J/p9+tjfmzfflMaNS57863LZGh1Tp1oXIAAA4IWTJ20BmPfes+2GDS3pL1nSt3EByBxPPikNHCiNGJFy/xNPZGyiL1kf+3btbKGpgwdtX5EiUs6cHl8XAAAk2rTJRss2bLCOF88+a7ccfrXcDYDLsWmT9MknKffff780erRXp/TqL0jOnFKJEl5dDwAAnGvaNOuocfKk1cV+9JHVyALIXooWldavtxVez7V+vVSsmFenTPNk3HONGGEL8p3/OQAASKMTJ6SuXW3FyZMnLblfv54kH8iuevWyCbGvvir9+KPdRoywOTu9enl1yjS31zxXWJj9LSpf3v3z7Co7tmsCAFyGP/6wUp3Nm6XgYGnYMOmpp2ziG4AMkeXzNcexEp2RI6V//7V9JUtKjz1m83e84NWI/rkvDTx/mQAAQDblODbZtlYtS/JLlpSWLLF6fJJ8IHsLCrLJuNHRUkyM3aKjbTR/+XKvTsksHwAAMlp0tPTbb5bkz51r+5o3l6ZPt7pcADhXaGjy51u2SDfdlNzy0gMk+gAAZKTJk63uNiHBtoOCpFdekR5/3Mp2ACCDkOgDAJBRdu2yt93PrXMNCpI6dSLJB5Dh+CsDAEBGiImROndOOZktIUHautU3MQHIVi57RD8oKD3CAAAggKxZYytM/vNPyvtcLikqKvNjApA1ffnlxe/fts3rU192ok/XHQAA/p/jSGPGSIMH2zLyZcpI991nfbHj4y3JnzhRyoqt/QD4Rps2lz7Gy5F1rxL9jRulUqWSPy9Z0qtrAwAQOP77z5aqT+yq06aN9P77UsGC0kMPWblOVBRJPgB3iRP1M4BXiX7p0ql/DgBAtrRypZXq7Ngh5cwpvfGG1K9f8ihcZCQJPoBMd1mlO6dPS2fOuO8LC7ucMwIA4EccRxo1SnrySSkuzpaJnzVLqlnT15EBgOddd06elPr2lYoVk/Lls3ckz70BAJAtHDoktW5t9fhxcdK990q//kqSDyDL8DjRf+wxW617/HgpJMQW+Xv+eavT/+CDjAgRAIAs5uefpapVpXnz7J/huHE2kh8e7uvIACCJx4n+V1/Z37O775Zy5LAVeZ95xhb5++ijjAgRAIAsIiFBGjFCathQio6WKlaUfvnFJtvSbxqAt+LjpWXLpCNH0vW0Hif6hw9bCaJk9fiHD9vn9etbfAAABKQDB6RWraQhQ+yfcseO0tq1NrIPAJfD5ZKaNbPuXenI40S/fPnkvv2VKkmffGKff/WVVKBAOkYGAEBW8cMPltDPny/lzi29+6704YdSaKivIwMQKK69NvVF9i6Dx4l+9+7Sb7/Z508+KY0da3/zBg60+n0AAAJGfLz04otS48bSv//aCNeqVVLPnpTqAEhfL71kk/vnzZP27JGOHnW/ecHj9poDByZ/3qSJtHmzvXMZFSVdf71XMQAAkPXs3St16iQtXmzbXbva6Fa+fL6NC0BguvVW+9i6tftAguPYdny8x6e8rD76kq3uXabM5Z4FAIAsZPFi6b77pH37pLx5rQtF166+jgpAIFu6NN1P6VWiv3ix3fbvT7lq7/vvp0dYAAD4QHy89MILVq7jONI119hktMqVfR0ZgEDXsGG6n9LjGv3nn7dJwYsXSwcP2uTgc28AAPilf/+VbrnFEn3HsTr8VatI8gFknh9/tJLBunWl3btt3/Tp0k8/eXU6j0f0J0yQpk6VOnf26noAAGQ9CxbYP7YDB6T8+aWJE619JgBkljlz7O/QfffZKtuxsbY/JsYWrPrmG49P6fGI/pkz9iIDAAC/FxdnffFbtLAkv0oV6zBBkg9g2TLp9tulkiVtMuzcuRc//vvv7bjzb3v3pu16L71kI+rvvivlzJm8v149S/y94HGi37OnNGOGV9cCACBriI6WZs2S6tSxlW4lW932l1+kK6/0bWwAsoYTJ+zF/9ixnj3ur7+sPWbirVixtD+uQYOU+8PDvV4xN02lO4MGJX+ekCBNmiQtWmTtNM99wSFJo0Z5FQcAAJlj8mSpVy+rw5ekkBDpgw+ktm19GxeArKVlS7t5qlgx71aRLV5c2rpVKlvWff9PP9mKtV5IU6K/bp37duJq3xs2uO9n7RAAQJa2bZt7ki9JZ89SkwpkJ8eOuS9AFRJit/RStarV1197rTRsmJXepEWvXtIjj1gLy6AgaxCwYoUtovXss16FkqZEPwPaegIAkLm2b7cFac5N8iV7q3rrViky0idhAchcYed30ho61BLyy1WihNXY16xpif5770mNGkkrV0rVq1/68U8+aX+PbrlFOnnSynhCQizR79fPq5Aua8GsXbvsY+nSl3MWAAAy2Ny5Uvfuqde5uly2vDuAbOHoxo0KK1UqeUd6jeZfdZXdEtWtK/39t/Tmm9Yi81KCgqSnn5Yee8wGH44ft/a++fN7HZLHk3Hj4uzdg/BwKyEqW9Y+f+YZe/cTAIAsIzZWGjBAuvNOS/Jr1bLJty6X3e9yWStNRvOB7CM0VAoLS76lZ9nO+WrVsqTdE7lyWYwlSlxWki95MaLfr5/02WfSa69ZswLJyoeGDZMOHZLGj7+seAAASB///GMTbNeute1HH7Ve1LlyWZ/qrVttJJ8kH0BGWb/eEva0iIuzlWnffttG8yVL9Pv1s/Ki8zvgpIHHif6MGdLMme6TkK+/3sp3OnQg0QcAZAGzZ0s9etiEu0KFbKXH229Pvj8ykgQfwMUdP+4+Gr9tmyXuhQpJV1xha3Ds3m1duyRp9GipXDnpmmuk06etRn/JEum779J2vQwYTfc40Q8JSdn1R7LnlSuXx9cHACD9nD5tI/fjxtl23brSxx/bP2UA8MSaNdLNNydvJ/ab79rVBg/27JF27ky+/8wZ+/uze7eUN6+NhC9a5H6Oi8mA0XSPE/2+faUXX5SmTEkuaYqNlV5+2e4DAMAntmyxUp316237ySelF17w6u1uAFCjRim7dJ1r6lT37ccft5u3MmA03eNEf906afFie8ezShXb99tv9iLmlluku+5KPvazz7yKCQAAz3z8sdS7t73VXqSIdbho0cLXUQFA2mXAaLrHiX6BAtLdd7vvo70mAMAnTp2S+ve3WljJ+k7PmCGd2zoPALKqc0fIJSv1udBouhc8TvSnTPHqOgAApK9Nm6xUZ8OG5P7TQ4dKOS5riRgAyDzh4e7b6Tyazl9DAID/+eAD6aGHbPXIiAjpww+lJk18HRUAeCaDR9DTlOhXq2aDJWnx66+XEw4AABdx4oTVqiZOgmvcWProI6l4cZ+GBQBZUZoS/TZtMjgKAAAuZcMGK9XZtEkKDrYynaefTl7lFgD8WblyFx9Z/+cfj0+ZpkR/6NC0nSw+3uPrAwBwcY4jvf++LSZz6pStMjljhrW+A4BAMWCA+/bZs9bucv586bHHvDplutTo/+9/0uTJVjK5Z096nBEAAEnHjlkt/kcf2XazZtY6s1gx38YFAOntkUdS3z92rC3e5YVgb2M5edLmD9x0k1S5svTDD8kLhgEAcNl++02qWdOSfJdLGj5c+vZbknwA2UvLltKcOV491OMR/V9+sXbFn35qK4pv2iQtXWoJPwAAl81xpIkT7W3s2FjrKf3xx1L9+r6ODAAy3+zZUqFCXj00zYn+yJFWIhkTI3XoIC1bZr38c+aUChf26toAALiLibEVbj/5xLZbtbIOO0WK+DQsAMhw57e5dBxp717pwAFp3DivTpnmRP+JJ+z2wgs0OAAApLPoaOnrr608Z8cOW/Rq+HCrCQ32usoUAPzH+W0ug4OlokWt8UClSl6dMs2J/osvWk3+9Ok2ot+5s3TttV5dEwCAZO+9Z6P4jmPbhQpZ0n/jjb6NCwAyU1rbXHogzcMkQ4ZYd53p0+1dhNq1rXTHcaT//kv3uAAA2cGGDVKvXslJvmTlO5GRvosJADLT0aNpu3nB4/dDGzaUpk2zZP/hh6UaNWxf3brSqFFexQAAyI5WrZKaNEm5Pz5e2ro18+MBAF8oUEAqWPDCt8T7veB1H/3QUOmBB+z2xx/WR3/ECFpsAgAuwXGkN9+0iV9xcSnvd7mkqKjMjwsAfGHp0uTPHUe69VYraSxV6rJPnS4LZl13nTR6tPT66+lxNgBAwDp0SOrWTZo3z7bvuUdq0EAaONBG8l0ua61J6Q6A7KJhQ/dtl8vmKJUvf9mnTpdEP1HOnOl5NgBAQFm+XGrfXtq1SwoJsVH9Bx+0dnJ33mnlOlFRJPkAkE7SNdEHACCFhAR7y/fpp23UvmJF65NftWryMZGRJPgAkM5I9AEAGefAAalLF2n+fNvu0MFKc0JDfRsXAGRl5y6cdRlI9AEAGWPZMkvs//1Xyp1bGjNG6tEj3f6BAUBAuOsu9+3Tp62sMV8+9/2ffebxqT1O9F0uac8eqVgx9/2HDtm++HiPYwAABJL4eFvVduhQK9upVMlKda67zteRAUDWEx7uvt2pU7qd2uNE/9w1Tc4VGyvlynW54QAA/Nq+ffZPatEi2+7SRRo7Vsqf37dxAUBWNWVKhp06zYn+22/bx6Aga+157t/s+Hh7h7ZSpfQODwDgN5YskTp2tGQ/b15L8Lt183VUAJBtpTnRf/NN++g40oQJVsKTKFcuqWxZ2w8AyGbi46UXXpBefNH+SVxzjZXqVK7s68gAIFtLc6K/bZt9vPlmmwvg5Uq8AIBA8u+/0n33Sd9/b9s9ethbwHnz+jQsAIAXNfrnrtILAMjGvvvO6vEPHLDuEBMnWtIPAMgSvGqvGR0tffmltHOndOaM+32jRqVHWACALCsuTnruOeusI0lVqlipzpVX+jYuAIAbjxP9xYul1q2l8uWlzZula6+Vtm+3sszq1TMgQgBA1hEdbb3xf/rJth980CZx5c7t27gAIBD8/bc0erS0aZNtV64sPfKIVKGCV6cL9vQBQ4ZIgwdLf/xhf9fnzJF27ZIaNpTuvderGAAA/uCbb6SqVS3JDw2VZs2Sxo8nyQeA9LBggSX2q1ZJ119vt5UrrcHBwoVendLjEf1Nm6SPP/7/B+eQTp2yVpsvvCDdcYf00ENexQEAyKrOnpWeflp6/XXbrl7dSnW8HGECAKTiySelgQOlESNS7n/iCalpU49P6fGIfr58yXX5JUrYOwyJDh70+PoeGzvWWnnmzi3Vrm0vei7m00+tv3/u3LYo4zffuN/vOFZqWqKElCeP1KSJtGVLhoUPAP5lxw6pQYPkJL9fP2n5cpJ8AEhvmzZZ57Lz3X+/tHGjV6f0ONG/8cbk0sxbb5UefVR6+WWL4cYbvYohzWbNkgYNslXVf/3V5n81by7t35/68cuXWylpjx7SunVSmzZ227Ah+ZjXXrNOcBMm2Lsj+fLZOU+fztjncjmio637UXQ01+N6WfOaXM+/rydJe1ZH65/7X1LCdVWkX36xJdrnzLE/mCEh6X69QP+acj3/vybX8+/r+YWiRaX161PuX79eKlbMq1MGOY7jePKAf/6Rjh+3sqETJyzRX75cqljROu6UKeNVHGlSu7Z0ww3SO+/YdkKCVLq0DTA9+WTK49u1sxjnzUved+ONVmI6YYKN5pcsac9h8GC7PyZGioiQpk6V2rdPW1zR0dEqXbq0du3apcjIyMt5ipf03nvSAw/Ycw8OlsaMkbp2zbjrTZtmX1+u55/X88U1uZ5/X0+SVvecqAYzH1Kw7N9DTKFyyrlssZyy5TLkeoH+NeV6/n9Nrpex15s0KfWB7PSWmfmaV154wZobPPmkVLeu7fv5Z+nVV22k+9lnPT+n4ydiYx3H5XKczz9339+li+O0bp36Y0qXdpw333Tf99xzjnP99fb53387juQ469a5H9OggeP073/hWE6fdpyYmOTbxo27HEnOrl27PHhGntu1y3GCgy1mbty4ccuIWx395CSct/OsXE4p7fJ5bNy4cQvMm8tlOU5G27Urc/I1ryUkOM6oUY5TqpTjBAXZrVQpxxk92u7zgselO75y8KCtsh4R4b4/IkLauzf1x+zde/HjEz96ck7JWkeHhyffMmuV9y1b7NUvAGSEuzVb36mZgs7bn0PxitJWn8QEIPDFx0tbs/ufmLg4afp0qWNHq2eKibFbdLS11ww6/y9z2ni1YFZ2N2SIvYOSaPfuzEn2K1a0t7jOTfZdLpufUapU+l9v927p6qu5nr9ezxfX5Hp+er3Tp5VryKPK+e44SZIjuSX7cXLp/R+iFFEjHa/5/wL2a8r1+LvG9Ty6XlRU+l/Lr+TIYeuSJPbPDw1Nn/Om85sOGSYrle6cLzPfCnrvPfs6JL7V9d57XI/rZa1rcj0/u97//uc41aolv4f+xBPOss4TnbOyi56Vy1nWNWOfZMB9Tblehgv058j1MkaWL91p2DBlonuZPJ6M60u1a0u1atkkEcleDV5xhdS374Un4548KX31VfK+unVtIvG5k3EHD7YJuZJ09KhNbM6qk3HtevYWV1SUlBlzSbief1/PF9fken5yvZkzpV69rMNCkSL2tnGLFpKs686+n7cqol6UStzA3zWul7Wu54trcj3/vp5dM4tPxv3kEysbGThQqlHDWkGe6/rrPT7lZSf68fG2Sm6ZMlLBgpdzpkubNctmgU+caAn/6NH2Ndm82erqu3Sxt5mGD7fjly+3FXtHjJBatbL/aa+8Yq05r73Wjnn1Vbt/2jSpXDmb0Pz77/aWVVoXe8zyPzgAcK5Tp6QBA6zVhWR98mfMyLhaCwDIArJ8vhacytTZoCAbmQ4KsqTbQx7X6A8YYAtP9ehh12vY0BLqvHmtjWWjRh7HkGbt2kkHDtgCV3v3WpvM+fOTJ9Pu3On+Napb1/53PfOM9NRTVuM+d25yki9Jjz9uLTh795aOHJHq17dzsqI7gIC0ebPUtq2N0AQF2Yq3Q4dafSgAwHe2bUv3U3o8oh8ZaclyzZr2sU8fW/Bg+nRpyRJr95ndZPlXiAAg2R/qhx6y0Y1ixaSPPrLlwAEgG8iO+ZrH7TUPHpSKF7fPv/lGuvde6corbWXcP/5I7/AAAJftxAmpe3erbzxxQmrc2FZaJMkHgKxl+nSpXj2bRLpjh+0bPVr64guvTudxoh8RYfXr8fFW4tK0qe0/edLaIwEAspA//7RJTVOnWm3j889L330nlSjh68gAAOcaP976t996q9WTJ9bkFyhgyb4XPE70u3e38s5rr7XyzsQBoZUrpUqVvIoBAJDeHEd6/33phhtsdKZECWnxYpvkxKgMAGQ9Y8ZI775rc6fO/Ttds6bXZTMez74aNsyS/F27rGwnJMT2u1ypt7gEAGSy48dt4ZWPPrLtZs3s7eBixXwbFwDgwrZtk6pVS7k/JMTKLr3gVZuFe+5x3z5yxNpeAgB87Lff7G3X//3PRmBefFF64onU27YBALKOcuVs/lSZMu7758+35YS94PFf/ldftX72idq2lQoXtm48v//uVQwAgMvlOLbISO3aluSXKiV9/70tvkKSDwBZ36BB1s5y1iz7m75qlfTyy/Z3/PHHvTqlxyP6EyYkvxu8cKHdvv3WFq4aPNjmeAEAMtHRo7YYSOIozK232iqARYr4Ni4AQNr17CnlyWMLQJ08KXXsaN133npLat/eq1N6nOjv3SuVLm2fz5tnI/rNmklly9pAEgAgE/36q/0h/vtvW/Rq+HAbFWIUHwD8z3332e3kSZtvdZlzqzz+T1CwoE3ElaxkKLHrjuN4tTIvAMAbjiO9845Up44l+VdcIS1bZm+tkuQDgP+YPl06fNh9X968yUn+iRPSCy94dWqP/xvcdZe9k9C0qXTokNSype1ft06KivIqBgCAJ44csa4I/fpJZ85Id9xhf4Tr1PF1ZAAAT3XtauudbNiQ+v3Hj9saKF7wONF/802pb1+pcmWrz8+f3/bv2SM9/LBXMQAA0mrVKmu/9tlnUs6ctojK559LhQr5OjIAgLfKl5fq1rW/7enI4xr9nDntneHzDRyYHuEAAFKIjrZOOj/8YDX4Z89aG7ZZs2xBLACA/woKkj780BbLatvWFszycgT/fF710f/7bxtE2rTJtitXlgYMsBcjAIB0NHmyddRJSEjed/fd0nvv2bLoAAD/5jj28emnpSpVpE6drGf9hx9K+fJd1qk9Lt1ZsMAS+1WrpOuvt9vKlcmlPACAdBIdnTLJDw62GkqSfAAIPLfdJv3yi42m164t/fPPZZ3O4xH9J5+0Mp0RI1Luf+IJm6QLALhMCQm2qu25SX7i/r//Tu5zDADwb0FB7tuVKtmIeocOVp45erTXp/Z4RH/TJqlHj5T7779f2rjR6zgAAIkOHLBRnUmTUt7nctHiDAACSWLpzrnCwmzBqgcekLp18/rUHif6RYtK69en3L9+/WX39AcALFsmVa1qS47nzi116WLJvWQfJ06UIiN9GiIAIB117Wor4p4vKEh65RXp44+lhg29OrXHpTu9elnJ6D//WBcgSfr5Z+nVV20xRgCAFxISrKPOc8/Z51ddJX3yiU2EevllaetWG8knyQeAwDJlysXvb9vWbl7wONF/9lkpNFQaOVIaMsT2lSwpDRsmPfKIVzEAQPa2b5/UuXNyR4POnaVx45IXKomMJMEHAHjM49KdoCCbjBsdLcXE2C062kb6ly/PiBABIIAtWWKlOgsX2lu3778vTZuWnOQDAOAljxP9c4WG2k2StmyRbropPUICgGwgPt7eCm3SRNq7V7rmGmnNGql795QdGAAA8MJlJfoAAC/s2WMJ/vPPW7eF+++3VmqVK/s6MgCAL8THWzOGI0fS9bQk+gCQmb77zlY+/P57W/Fw+nRb/TZvXl9HBgDwFZdLatZM+u+/dD0tiT4AZIa4OFvevEUL65N//fXS2rW21DkAANdee9kr4Z4vzV13vvzy4vdv23a5oQBAgIqOljp2lH780bYfeEB6883U+yYDALKnl16SBg+2VdFr1LB3fc8VFubxKdOc6Ldpc+ljmD8GAOf55htb9OrQIete8O67Urt2vo4KAJDV3HqrfWzd2j2pdhzbjo/3+JRpTvQTEjw+NwBkX2fPWqnO66/bdvXq0qxZtugVAADnW7o03U/p8YJZAIBL2LlTat9eWrHCtvv1s4Q/JMS3cQEAsq6GDdP9lCT6AJCevvxS6tbNOieEh9sCWHfd5euoAAD+4MgR68S2aZNtX3ONtWAOD/fqdHTdAYD0cOaMLRt+xx2W5N9wg7RuHUk+ACBt1qyRKlSwZg2HD9tt1Cjb9+uvXp2SEX0AuFzbttkE29WrbXvgQGnECClXLt/GBQDwHwMH2kTcd9+Vcvx/ih4XJ/XsKQ0YYAtqecijEf0MWrQLAPzXZ59J1apZkl+woPTFFzYCQ5IPAP5t2TLp9tulkiWt683cuZd+zPffW/OFkBBrvjB1atqvt2aN9MQTyUm+ZJ8//rjd5wWPEv0MWrQLAPxLdLS0YIHUvbt0991STIxUp460fr2NxgAA/N+JE7aS+dixaTt+2zapVSvp5pvt/8GAATYav2BB2h4fFmbNHM63a5e1Z/aCx6U7iYt2lSvn1fUAwL9Nniz17u3ec/jxx22hk5w5fRcXACB9tWxpt7SaMMES5JEjbfvqq6WffrKa++bNL/34du2kHj2kN96Q6ta1fT//LD32mNShg+fxy4tEPwMW7QIA/xAdLfXqZYuXJAoOtvaZJPkA4B+OHZOOHk3eDglJn/bHK1ZITZq472ve3Eb20+KNN6xEqEsXq82X7H/LQw/ZvC8veJzoZ8CiXQCQ9Z06ZX9sz03yJRvZ37pVioz0TVwAAI+EVa7svmPoUGnYsMs/8d69UkSE+76ICHtRceqUlCdPysf8/ruVywQH29yut96Shg+X/v7b7q9QQcqb1+uQPE70M2DRLgDI2v76S2rb1v4gn8/lYrVbAPAjRzduVFipUsk7fLmYYbVq0p49UrFiUvny1tihcGHpuuvS5fQeJ/oZsGgXAGRdH34oPfigTcoqVky67z7p7bft7UuXS5o4kdF8APAnoaEZU2tevLi0b5/7vn377FqpjeZLUoECNom3WDFp+3b3+V/pwKs++j/+aP/b/vlH+vRTqVQpafp0m39Qv366xgcAvnHypNS3rzRlim3ffLP00UdSiRLSoEFWrhMVRZIPADB16kjffOO+b+FC238hd99to+glSlgNfM2aNoiUmn/+8TgkjxP9OXOkzp1tUOvXX6XYWNsfEyO98krK5wcAfufPP61UZ+NG+8M7dKj0zDPJf3wjI0nwASDQHT9ugzqJtm2ztpmFCklXXCENGSLt3i198IHd/+CD0jvvWCe2+++XliyRPvlE+vrrC19j0iRbQX3rVql/f2v44GUrzdR41XVnwgSbEDxzZvL+evXsPgDwW45ji5v06WMTp4oXl2bMsNF8AED2smaN+9//QYPsY9eu9r9izx73vvflyllSP3CgTaqNjJTee+/SrTVbtLCPa9dKjzzi20T/r7+kBg1S7g8PZ8VcAH7s+HHp4YetDlGSmja1+vxixXwbFwDANxo1Stlp7VyprXrbqJG0bp1310ssFU1HHq2MK9kA17nvYiT66SebLAwAfuf3360ucvp0a3H28svS/Pkk+QAAv+Zxot+rl72rsHKlla7++6/NTxs82FpMA4DfcByrj6xVy96uLFVK+v576amnLOEHAMCPeVy68+ST1vnnllusKUWDBtZ+dPBgWxwSAPzC0aPSAw8kTzZq2dImVBUp4tu4AABIJx4n+kFB0tNPS489ZiU8x49LlStL+fNnRHgAkAHWrbOuOlu3Wied4cOlRx9lFB8AEFC86qMv2Sq9oaF2I8kH4BccRxo3zjonnDlj7dFmzrx4j2MAADLTxo3WzefMGff9rVt7fCqPE/24OOn5521hyOPHbV/+/Fa2M3SolDOnxzEAQMY7ckTq2dMWA5HsD+aUKdYPGQAAX/vnH+nOO6U//rASmsSOP0FB9jE+3uNTevw+db9+Nnfttdfs3e916+zzyZOtzz8AZDmrV0vVq1uSnzOn9Oab0ty5JPkAgKzjkUesF//+/VLevLZ447Jl1hXu+++9OqXHI/ozZtg73S1bJu+7/nqpdGmpQwdp/Hiv4gCA9Oc4tmjJ449LZ89KZcvaKoU33ODryAAAcLdiha2mW6SIzRkLDpbq17d5ZP37e9Wf3+MR/ZAQ+195vnLlrG4fALKEw4elNm1shcKzZ22J8XXrSPIBAFlTfHzyqrhFilgPe0kqU8ZaQHvB40S/b1/pxRel2NjkfbGxtr5M375exQAA6WvFCqlaNenLL20E4p13pNmzpQIFfB0ZAACpu/Za6bff7PPata02/uefpRde8HpV2jSV7tx1l/v2okVSZKRUpYpt//abTQy+5RavYgCA9JGQII0caQtexcVJFSpYqU716r6ODACAi3vmGenECfv8hRek226TbrpJKlxYmjXLq1OmKdEPD3ffvvtu9+3Spb26NgCkj+hoac0aawe2dKnta9fOOgeEhfk2NgAA0qJ58+TPo6KkzZutDLVgweTOOx5KU6I/ZYpX5waAjDd5stS7t43mS1KOHNLYsVKvXl7/YQQAIEu4zO5wXi+YBQA+t3OnJfSJvYYlS/hvvZUkHwDgX06ckEaMkBYvthabiQNYif75x+NTepzolyt38f+fXsQAAJ7bv98mEJ2b5Ev2h3HrVptIBACAv+jZU/rhB6lzZ6lEiXQZsPI40R8wwH377FnrWDd/vvTYY5cdDwBc2tKlUseO0t69Ke9zuay2EQAAf/Ltt9LXX0v16qXbKT1O9B95JPX9Y8faXDgAyDDx8dJLL1k3goQEqXJlm3T7wgt2n8slTZzIaD4AwP8ULJjuK7Z73Ef/Qlq2tNXlASBD7NkjNW0qDRtmSX737tKqVdJzz0nbt9so//btUo8ePg4UAAAvvPii/U87eTLdTpluk3Fnz073FyEAYBYulDp1srr8fPmk8eOthjFRZCSj+AAA/1Otmnst/tatUkSEVLaslDOn+7G//urx6T1O9M+Px3GsTPbAAWncOI+vDwAXFhdnI/ivvGJ/bK67zhbAqlTJ15EBAHD52rTJ0NN7nOifH09wsFS0qNSoEf97AaSj6GibcPvjj7b9wAPSm29KefL4Ni4AANLL0KEZenqPE/0MjgcArPNA587SoUNSaKitcNu+va+jAgAg461ZI23aZJ9XrizVqOH1qdKc6B89mrbjWG0egNfOnpWeeUZ67TXbrlZNmjVLqljRt3EBAJDRoqOlDh2kn3+WChSwfUeOSHXrSjNnejUXLc1ddwoUsK4/F7ol3g8AXtm5U2rYMDnJ79NHWr6cJB8AkD307GkDXps2SYcP223TJus017OnV6dM84j+0qXJnzuOrTD/3ntSqVJeXRcAkn35pdStm/Tff1J4uDR5snT33b6OCgCAzPPDDzbAddVVyfuuukoaM0a66SavTpnmRL9hQ/dtl0u68UapfHmvrgsA0pkz0pNP2iRbSbrhBnt7kj8sAIDspnRpG9E/X3y8VLKkV6dMtwWzAMAj27bZCEVikj9ggPTTTyT5AIDs6fXXpX79bDJuojVrpEcekd54w6tTptuCWQCQZp99Jt1/vxQTY5N7pk6VWrf2dVQAAPhOt262Km7t2lKO/0/R4+Ls8/vvt1uiw4fTdMrLSvTPXTgLAC4pNlYaPFh65x3bvvFGK9UpU8a3cQEA4GujR6f7KdOc6N91l/v26dPSgw/aavTn+uyz9AgLQMDZulVq1y55Ce/HH5deeinlEt8AAGRHXbum+ynTnOiHh7tvd+qU3qEACFiffGKtwY4dkwoXlj74wFp3AQCQnaV1oSrJq8Wq0pzoT5ni8bnT1eHDNj/hq6+k4GDrvPfWW1L+/Bd+zOnT0qOPWmVAbKzUvLk0bpwUEWH3//abNGKEzf87eFAqW9bepXjkkUx5SkDgO3VKGjhQmjjRtuvXlz7+2KtFPwAACDgFCly6Ft5x7Jj4eI9P7zeTce+7T9qzR1q40DoPde8u9e4tzZhx4ccMHCh9/bX06af2jkTfvlaC9PPPdv/atVKxYtKHH1pHo+XL7Zwulx0LwEvR0dLixfZKevNm+wM1ZIj0/PPJE4wAAMjuzl2oKgMEOY7jZOgV0sGmTVLlytLq1VLNmrZv/nx75z86OvXWojExUtGi9kLgnnts3+bN0tVXSytW2BzA1PTpY9dbsiTt8UVHR6t06dLatWuXIhmpRHY3ebLUq5eNQEj2ttucOVKzZr6NCwCQrfl1vrZhg3TttR4/zC/66K9YYe9sJCb5ktSkiZXwrFyZ+mPWrrWR/yZNkvdVqiRdcYWd70JiYqRChS4eT2yslVQl3o4dS/NTAQLbli3uSb5k5TuVK/suJgAA/NGxY9KkSVKtWlKVKl6dwi8S/b17rcTmXDlyWEK+d++FH5Mrl71AOFdExIUfs3y5NGuWle9czPDhVgqUeCOHASRt3Gij9ue/SRgfbx13AADApS1bZh14SpSwhbIaN5Z++cWrU/k00X/ySSvdvdht8+bMiWXDBumOO6ShQy9dYTBkiI38J942bsycGIEsa+pUe8tt+/aU97lcUlRUZkcEAID/2LvX5rVVrCjde6912ImNlebOtf033ODVaX06K+7RR20RsIspX14qXlzav999f1ycdeIpXjz1xxUvLp05Ix054j6qv29fysds3CjdcouN5D/zzKXjDgmxWyJPOiMBAeX4cZvY8sEHtt20qdSypfTYYzaS73JZxx1/q4UEACCz3H67jeK3amWLZrVoYf8/J0y47FP7NNEvWtRul1KnjiXsa9dKNWrYviVLpIQEWyU4NTVq2Do8ixdbK05J+usvaedOO1+iP/+0d0S6dpVefvmyng6Qvfzxh9S2rb3tFhwsvfCCvd0VHGyjEVu32kg+ST4AABf27bdS//7SQw/ZiH468osa/auvthc3vXpJq1ZZe8y+faX27ZM77uzebZNtV62y7fBwqUcPadAg61y0dq215KxTJ7njzoYN0s03W6nOoEH2rsnevdKBA755noBfcBzp3XdtctDmzfZLuHSp9PTTluRLltw3akSSDwDApfz0k028rVHDRrDfeccWeEoHfpHoS9JHH1kif8st1lazfn2biJzo7FkbsT95Mnnfm29Kt91mI/oNGljJzmefJd8/e7Yl9R9+aPMdEm9elkEBge/oUaljR6tzO33aynTWr7dfMAAA4Lkbb7QBtD17pAcesJVeS5a00pWFCy+rvaNf9NHP6vy6LyuQVuvWWanO1q1WO/jKK9Lgwcmj+AAAZGF+la/99ZetSzN9utWvN20qffmlx6fhPzSAi3Mcadw4G3HYutWWkV62THr8cZJ8AAAywlVXSa+9ZivDfvyx16dhLXoAFxYTI/XsaXVuknUGmDr10qvKAQCAy+dySW3a2M0LDMcBSN3q1VK1apbk58wpjRolffEFST4AAH6CEX0A7hxHevtt64V/9qxUtqwtGV2rlq8jAwAAHiDRB5Ds8GHp/vtt5F6S7rrLJgOdu+ocAADwC5TuADC//GKlOl98IeXKJY0ZY2U7JPkAAPglEn0gu0tIkN54Q7rpJls6ukIFaflyW5UuKMjX0QEAAC9RugNkZwcPSt26SV9/bdtt29qiHWFhPg0LAABcPkb0gezqp5+kqlUtyQ8JkSZMsNX4SPIBAAgIJPpAdpOQIA0fLjVqJO3eLV15pbRypS27TakOAAABg9IdIDvZv1/q3Fn67jvb7tRJGj9eyp/ft3EBAIB0x4g+kB1ER0tvvildd50l+XnyWNvMDz4gyQcAIEAxog8EunfftbIcx7HtEiWkhQula67xbVwAACBDkegDgezXX6Xevd337d8vhYf7Jh4AAJBpKN0BAtWiRdItt6TcHx8vbd2a+fEAAIBMRaIPBJq4OOnZZ6VmzaQjR1Le73JJUVGZHhYAAMhcJPpAINm920bxX3rJavJ79ZLGjbPkXrKPEydKkZG+jRMAAGQ4avSBQDF/vrXOPHjQOulMmiR16GD33X67letERZHkAwCQTZDoA/7u7Fkr1Xn1VduuWlX65BOpYsXkYyIjSfABAMhmSPQBf7Zzp43aL19u2w8/LI0cKeXO7du4AACAz5HoA/7qq6+kbt2kw4elsDBbAOuee3wdFQAAyCKYjAv4mzNnpEcflVq3tiS/Zk1p3TqSfAAA4IZEH/An27ZJN90kjRpl2wMGSD/9JJUv79OwAABA1kPpDuAvPv9c6t5diomRChSQpk6V7rjD11EBAIAsihF9IKuLjZX695fuusuS/BtvlNavJ8kHAAAXRaIPZGV//y3VqyeNGWPbgwdLy5ZJZcr4Ni4AAJDlUboDZFWffCL17CkdOyYVLixNmya1auXrqAAAgJ9gRB/Iak6flh56SGrXzpL8+vWtVIckHwAAeIBEH8hK/vc/q8GfMMG2hwyRli5lVVsAAOAxSneArOKjj6QHHpBOnJCKFpWmT5eaN/d1VAAAwE8xog/42smTVovfqZMl+Y0aWakOST4AALgMJPqAL23aJNWuLU2eLAUFSc89Jy1aJJUs6evIAADA2LFS2bJS7tz2/3rVqgsfO3Wq/S8/95Y7d2ZFmipKd4DMFh0tbdlio/bPPGMj+hER0owZUuPGvo4OAABI0qxZ0qBBNm+udm1p9Gh7t/2vv6RixVJ/TFiY3Z8oKChTQr0QEn0gM02eLPXuLSUkJO9r0kT68ENL9gEAQNYwapTUq5etSi9Zwv/119L770tPPpn6Y4KCpOLFMy/GS6B0B8gs0dEpk/ygIOm990jyAQDILMeOSUePJt9iY1Mec+aMtHatDcYlCg627RUrLnzu48dtUcvSpW0F+z//TP/4PUCiD2QGx7G3/M5N8hP3b9vmk5AAAMiOwipXlsLDk2/Dh6c86OBBKT4+5UBcRIS0d2/qJ77qKhvt/+ILe6c+IUGqW9cG+nyE0h0gox07Zm0zP/445X0ulxQVlfkxAQCQTR3duFFhpUol7wgJSZ8T16ljt0R160pXXy1NnCi9+GL6XMNDjOgDGWn9eqlGDUvyXS7p7rvto2QfJ05kMSwAADJTaKhNmk28pZboFyli/6f37XPfv29f2mvwc+aUqlWTtm69/Ji9RKIPZATHkcaPt1Vut2yxWr1ly6TZs6Xt22212+3bpR49fB0pAAA4X65cNlC3eHHyvoQE2z531P5i4uOlP/6QSpTImBjTgNIdIL3FxNgs/U8/te3bb5emTJEKF7btyEhG8QEAyOoGDZK6dpVq1pRq1bK5didOJHfh6dJFKlUqucb/hRdsgC8qSjpyRHr9dWnHDlsU00dI9IH0tGaN1K6d9M8/Uo4c0quvSgMH+ryPLgAA8FC7dtKBA7aY5d69UtWq0vz5yRN0d+60TjyJ/vvPBvr27pUKFrR3BJYvlypX9kn4khTkOI7js6sHiOjoaJUuXVq7du1SJCO12ZPjSGPGSIMHS2fPWmutWbNsgQ0AAOBz2TFfY0QfuFz//Sfdf780d65t33mnLYxVsKBPwwIAANkbk3GBy7Fypc2onzvXJu68/bY0Zw5JPgAA8DkSfcAbCQnSyJFS/fo20aZ8eavD69ePenwAAJAlULoDeOrQIZuF//XXtt22rTRpkq2uBwAAkEUwog944uefbdb911/bAhvjx0szZ5LkAwCALIdEH0iLhARpxAipYUMpOlqqWFH65RfpwQcp1QEAAFkSpTvApezfb4tiLFhg2x07ShMm2BLaAAAAWRSJPnAxP/wgdegg7dkj5c4tvfOOtdJkFB8AAGRxlO4AqYmPt6WsGze2JP/qq6XVq6UePUjyAQCAX2BEHzjf3r1Sp07S4sW23a2bjeTny+fTsAAAADxBog+ca/Fi6b77pH37pLx5ratOly6+jgoAAMBjJPpAdLS0ebM0b56tbOs40rXXSp98YiU7AAAAfohEH9nb5MlS797WPjNRr17SW29JefL4Li4AAIDLRKKP7Cs62pJ6x0neFxwsPfccST4AAPB7dN1B9nT2rPT44+5JvmQj+1u3+iYmAACAdMSIPrKfXbuk9u2l5ctT3udySVFRmR8TAABAOmNEH9nLvHlS1aqW5IeFSQ8+aMm9ZB8nTpQiI30aIgAAQHpgRB/Zw5kz0pAh0qhRtl2jhjRrllShgvT001auExVFkg8AAAIGiT4C3/btVqqzcqVt9+8vvfaaFBJi25GRJPgAACDgkOgjsM2dK3XvLh05IhUoIE2ZIrVp49uYAAAAMgE1+ghMsbHSI49Id95pSX7t2tK6dST5AAAg2yDRR+D5+2+pXj1b5VaSHn1UWrZMKlvWp2EBAABkJkp3EFg+/VTq2VM6elQqVEiaNk267TZfRwUAAJDpGNFHYDh9Wnr4YaltW0vy69WT1q8nyQcAANkWiT783//+J914ozR+vG0PGSItXSqVLu3buAAAAHyI0h34txkzpAcekI4fl4oUkT78UGre3NdRAQAA+Bwj+vBPJ09KvXpJ991nSX7DhtJvv5HkAwAA/D8SffifTZusXeZ770lBQdJzz0mLFkklS/o6MgAAgCyD0h34l2nTbNLtyZNSRIT00UfSLbf4OioAAIAshxF9+IcTJ6SuXaVu3SzJv+UW66pDkg8AAJAqEn1kfX/8IdWsKX3wgRQcLL3wgrRggVS8uK8jAwAAyLL8JtE/fNjmXYaFSQUKSD162BzMizl9WurTRypcWMqfX7r7bmnfvtSPPXRIioy0ku8jR9I7enjFcawOv1YtafNmq8FfskR69lnJ5fJ1dAAAAFma3yT6990n/fmntHChNG+etGyZ1Lv3xR8zcKD01Ve2WOoPP0j//ivddVfqx/boIV1/ffrHDS9ER0tff23frF697BVb8+ZWqtOwoa+jAwAA8At+MRl30yZp/nxp9Wqr4JCkMWOkW2+V3ngj9WYrMTHS5MnWZr1xY9s3ZYp09dXSL7/Y+kqJxo+3UfznnpO+/TbDnw4uZvJkewWXkGDbQUHSK69Ijz9uZTsAAABIE7/InFassHKdxCRfkpo0sbxv5crUH7N2rXT2rB2XqFIl6Yor7HyJNm60ku/E8u+0iI2Vjh5Nvh075vFTQmp27bIR/MQkX7JEv1MnknwAAAAP+UX2tHevVKyY+74cOaRChey+Cz0mVy57gXCuiIjkx8TGSh06SK+/bi8A0mr4cCk8PPlWuXLaH4sLiImROne2uvxzJSRIW7f6JiYAAAA/5tNE/8knbcD2YrfNmzPu+kOGWClPp06ePy4mJvm2cWPGxJdtrFkjVa9uEynO53JJUVGZHxMAAICf82mN/qOPWlv0iylf3roo7t/vvj8uzjrxXKjDYvHi0pkzVnt/7qj+vn3Jj1myxDo3zp5t24mDyUWKSE8/LT3/fOrnDgmxW6KjRy/+HHABjmOTLQYPtjqrMmVs1vWrr0rx8ZbkT5xo7ZAAAADgEZ8m+kWL2u1S6tSxhH3tWqlGDdu3ZIlVddSunfpjatSQcuaUFi+2tpqS9Ndf0s6ddj5JmjNHOnUq+TGrV0v33y/9+KNUoYLXTwtp8d9/9sWeO9e227SR3n9fKlhQeughK9eJiiLJBwAA8JJfdN25+mqpRQubpzlhgg3+9u0rtW+f3HFn925bJPWDD6zteni4tcwcNMhq+cPCpH79LMlP7LhzfjJ/8GDy9c6v7Uc6WrlSatdO2rHDXo298YZ9c4KC7P7ISBJ8AACAy+QXib4kffSRJfe33GINWO6+W3r77eT7z561EfuTJ5P3vflm8rGxsdaKfdy4zI8d/89xpFGjbHJGXJzVZc2a5d5OCQAAAOkiyHHOb3MCT0VHR6t06dLatWuXIhmJTt2hQzYhY9482773Xundd+2tFwAAgAyWHfM1v2ivCT/3889S1aqW5IeE2Nsqs2aR5AMAAGQgEn1knIQEacQIqWFDKTpaqljRliV+6KHkenwAAABkCL+p0YefOXBA6tJFmj/ftjt2tJnUoaG+jQsAACCbINFH+vvhB0vs//1Xyp3beuX36MEoPgAAQCaidAfpJz5eevFFqXFjS/IrVZJWrZJ69iTJBwAAyGSM6CN97N0rdepkK5RJUteu0tixUr58vo0LAAAgmyLRx+VbvFi67z5p3z4pb17rqtO1q6+jAgAAyNYo3YH34uOloUOlpk0tyb/mGmn1apJ8AACALIARfXjn339twu0PP9h2z57SW2/ZiD4AAAB8jkQfnluwQOrc2Vpo5s8vTZxoST8AAACyDEp3kHZxcdKQIVKLFpbkV6kirV1Lkg8AAJAFMaKPS4uOln7+WXrjDWnNGtv30EPSqFHWJx8AAABZDok+Lm7yZKlXL8lxbDskRPrgA6ltW9/GBQAAgIuidAcXtm2be5IvSWfPSnXr+i4mAAAApAmJPlK3fbt0663uSb4kJSRIW7f6JCQAAACkHYk+Upo7V6pWTdq8OeV9LpcUFZXpIQEAAMAzJPpIFhsrDRgg3XmndOSIVKuWNGKEJfeSfZw4UYqM9GWUAAAASAMm48L8849NsF271rYffVR65RUpVy7pvvusXCcqiiQfAADAT5DoQ5o9W+rRQzp6VCpUSJo6Vbr99uT7IyNJ8AEAAPwMpTvZ2enT0sMPS/fea0l+3brS+vXuST4AAAD8Eol+drVli1SnjjR+vG0/+aT0/fdS6dI+DQsAAADpg9Kd7Ojjj6XevaXjx6UiRaTp06UWLXwdFQAAANIRI/rZyalTtgBWx46W5DdoYKU6JPkAAAABh0Q/u9i0ydplvveeFBQkPfustHixVKqUryMDAABABqB0JzuYNs0m3Z48KUVESB9+KDVp4uuoAAAAkIFI9APZiRNSnz6W6EtS48bSRx9JxYv7Ni4AAABkOEp3AtWGDdINN1iSHxwsvfCC9N13JPkAAADZBCP6gcZxpPffl/r2tT75JUpIM2ZIjRr5OjIAAABkIhL9QHLsmPTQQ1aeI0nNm0sffCAVK+bbuAAAAJDpKN0JFOvXSzVrWpLvcknDh0vffEOSDwAAkE0xou/vHEeaMEEaOFCKjZUiI21BrPr1fR0ZAAAAfIgRfX8WEyO1b2+tM2NjpVatbGSfJB8AAODyjR0rlS0r5c4t1a4trVp18eM//VSqVMmOv+46q67wIRJ9fxQdLU2cKF1/vfTJJ1KOHNIbb0hffikVLuzr6AAAAPzfrFnSoEHS0KHSr79KVarY/Mf9+1M/fvlyqUMHqUcPad06qU0bu23YkJlRuwlyHMfx2dUDRHR0tEqXLq1du3YpMjIyYy/23ntS795WsiNJhQpJX38t3Xhjxl4XAADAj3mcr9Wuba3K33nHthMSpNKlpX79pCefTHl8u3a2htG8ecn7brxRqlrVyqx9gBF9fxId7Z7kS1a+k9EvLgAAAALFsWPS0aPJt9jYlMecOSOtXSs1aZK8LzjYtlesSP28K1a4Hy/ZOwAXOj4TkOj7ky1b3JN8SYqPl7Zu9U08AAAAfiascmUpPDz5Nnx4yoMOHrQcKyLCfX9EhLR3b+on3rvXs+MzAV13/EnFivZqMiEheZ/LJUVF+S4mAAAAP3J040aFlSqVvCMkxHfBZDBG9P1JZKQ0aZIl95J9nDiR0h0AAIC0Cg2VwsKSb6kl+kWKWJ61b5/7/n37pOLFUz9v8eKeHZ8JSPT9TY8e0vbt0tKl9rFHD19HBAAAEFhy5ZJq1JAWL07el5Bg23XqpP6YOnXcj5ekhQsvfHwmoHTHH0VGMooPAACQkQYNkrp2lWrWlGrVkkaPtq463bvb/V26SKVKJdf4P/KI1LChNHKkrW00c6a0Zo1VY/gIiT4AAABwvnbtpAMHpOeeswm1VatK8+cnT7jdudPmTiaqW1eaMUN65hnpqadsbuXcudK11/oiekn00U8XmdpHHwAAAB7LjvkaNfoAAABAACLRBwAAAAIQiT4AAAAQgEj0AQAAgABEog8AAAAEIBJ9AAAAIACR6AMAAAABiEQfAAAACEAk+gAAAEAAItEHAAAAAhCJPgAAABCASPQBAACAAESiDwAAAASgHL4OIBAkJCRIkvbs2ePjSAAAAJCaxDwtMW/LDkj008G+ffskSbVq1fJxJAAAALiYffv26YorrvB1GJkiyHEcx9dB+Lu4uDitW7dOERERCg7O+GqoY8eOqXLlytq4caNCQ0Mz/HpIX3z//B/fQ//H99D/8T30b774/iUkJGjfvn2qVq2acuTIHmPdJPp+6OjRowoPD1dMTIzCwsJ8HQ48xPfP//E99H98D/0f30P/xvcvczAZFwAAAAhAJPoAAABAACLR90MhISEaOnSoQkJCfB0KvMD3z//xPfR/fA/9H99D/8b3L3NQow8AAAAEIEb0AQAAgABEog8AAAAEIBJ9AAAAIACR6AMAAAABiETfz4wdO1Zly5ZV7ty5Vbt2ba1atcrXIcEDy5Yt0+23366SJUsqKChIc+fO9XVI8MDw4cN1ww03KDQ0VMWKFVObNm30119/+ToseGD8+PG6/vrrFRYWprCwMNWpU0fffvutr8OCl0aMGKGgoCANGDDA16EgjYYNG6agoCC3W6VKlXwdVsAi0fcjs2bN0qBBgzR06FD9+uuvqlKlipo3b679+/f7OjSk0YkTJ1SlShWNHTvW16HACz/88IP69OmjX375RQsXLtTZs2fVrFkznThxwtehIY0iIyM1YsQIrV27VmvWrFHjxo11xx136M8///R1aPDQ6tWrNXHiRF1//fW+DgUeuuaaa7Rnz56k208//eTrkAIW7TX9SO3atXXDDTfonXfekSQlJCSodOnS6tevn5588kkfRwdPBQUF6fPPP1ebNm18HQq8dODAARUrVkw//PCDGjRo4Otw4KVChQrp9ddfV48ePXwdCtLo+PHjql69usaNG6eXXnpJVatW1ejRo30dFtJg2LBhmjt3rtavX+/rULIFRvT9xJkzZ7R27Vo1adIkaV9wcLCaNGmiFStW+DAyIPuKiYmRZIki/E98fLxmzpypEydOqE6dOr4OBx7o06ePWrVq5fY/Ef5jy5YtKlmypMqXL6/77rtPO3fu9HVIASuHrwNA2hw8eFDx8fGKiIhw2x8REaHNmzf7KCog+0pISNCAAQNUr149XXvttb4OBx74448/VKdOHZ0+fVr58+fX559/rsqVK/s6LKTRzJkz9euvv2r16tW+DgVeqF27tqZOnaqrrrpKe/bs0fPPP6+bbrpJGzZsUGhoqK/DCzgk+gDghT59+mjDhg3Ulvqhq666SuvXr1dMTIxmz56trl276ocffiDZ9wO7du3SI488ooULFyp37ty+DgdeaNmyZdLn119/vWrXrq0yZcrok08+oXwuA5Do+4kiRYrI5XJp3759bvv37dun4sWL+ygqIHvq27ev5s2bp2XLlikyMtLX4cBDuXLlUlRUlCSpRo0aWr16td566y1NnDjRx5HhUtauXav9+/erevXqSfvi4+O1bNkyvfPOO4qNjZXL5fJhhPBUgQIFdOWVV2rr1q2+DiUgUaPvJ3LlyqUaNWpo8eLFSfsSEhK0ePFiakuBTOI4jvr27avPP/9cS5YsUbly5XwdEtJBQkKCYmNjfR0G0uCWW27RH3/8ofXr1yfdatasqfvuu0/r168nyfdDx48f199//60SJUr4OpSAxIi+Hxk0aJC6du2qmjVrqlatWho9erROnDih7t27+zo0pNHx48fdRi22bdum9evXq1ChQrriiit8GBnSok+fPpoxY4a++OILhYaGau/evZKk8PBw5cmTx8fRIS2GDBmili1b6oorrtCxY8c0Y8YMff/991qwYIGvQ0MahIaGppgTky9fPhUuXJi5Mn5i8ODBuv3221WmTBn9+++/Gjp0qFwulzp06ODr0AISib4fadeunQ4cOKDnnntOe/fuVdWqVTV//vwUE3SRda1Zs0Y333xz0vagQYMkSV27dtXUqVN9FBXSavz48ZKkRo0aue2fMmWKunXrlvkBwWP79+9Xly5dtGfPHoWHh+v666/XggUL1LRpU1+HBmQL0dHR6tChgw4dOqSiRYuqfv36+uWXX1S0aFFfhxaQ6KMPAAAABCBq9AEAAIAARKIPAAAABCASfQAAACAAkegDAAAAAYhEHwAAAAhAJPoAAABAACLRBwAAAAIQiT4AAAAQgEj0AQCpGjZsmKpWrerrMAAAXiLRB4AA061bNwUFBSkoKEg5c+ZURESEmjZtqvfff18JCQmXdd42bdqkX6AAgAxFog8AAahFixbas2ePtm/frm+//VY333yzHnnkEd12222Ki4vzdXgAgExAog8AASgkJETFixdXqVKlVL16dT311FP64osv9O2332rq1KmSpCNHjqhnz54qWrSowsLC1LhxY/3222+pnm/YsGGaNm2avvjii6R3C77//ntJ0hNPPKErr7xSefPmVfny5fXss8/q7NmzmfRMAQAXksPXAQAAMkfjxo1VpUoVffbZZ+rZs6fuvfde5cmTR99++63Cw8M1ceJE3XLLLfrf//6nQoUKuT128ODB2rRpk44ePaopU6ZIUtIxoaGhmjp1qkqWLKk//vhDvXr1UmhoqB5//PFMf44AgGQk+gCQjVSqVEm///67fvrpJ61atUr79+9XSEiIJOmNN97Q3LlzNXv2bPXu3dvtcfnz51eePHkUGxur4sWLu933zDPPJH1etmxZDR48WDNnziTRBwAfI9EHgGzEcRwFBQXpt99+0/Hjx1W4cGG3+0+dOqW///7bo3POmjVLb7/9tv7++28dP35ccXFxCgsLS8+wAQBeINEHgGxk06ZNKleunI4fP64SJUok1dmfq0CBAmk+34oVK3Tffffp+eefV/PmzRUeHq6ZM2dq5MiR6Rc0AMArJPoAkE0sWbJEf/zxhwYOHKjIyEjt3btXOXLkUNmyZdP0+Fy5cik+Pt5t3/Lly1WmTBk9/fTTSft27NiRnmEDALxEog8AASg2NlZ79+5VfHy89u3bp/nz52v48OG67bbb1KVLFwUHB6tOnTpq06aNXnvtNV155ZX6999/9fXXX+vOO+9UzZo1U5yzbNmyWrBggf766y8VLlxY4eHhqlixonbu3KmZM2fqhhtu0Ndff63PP//cB88YAHA+2msCQACaP3++SpQoobJly6pFixZaunSp3n77bX3xxRdyuVwKCgrSN998owYNGqh79+668sor1b59e+3YsUMRERGpnrNXr1666qqrVLNmTRUtWlQ///yzWrdurYEDB6pv376qWrWqli9frmeffTaTny0AIDVBjuM4vg4CAAAAQPpiRB8AAAAIQCT6AAAAQAAi0QcAAAACEIk+AAAAEIBI9AEAAIAARKIPAAAABCASfQAAACAAkegDAAAAAYhEHwAAAAhAJPoAAABAACLRBwAAAALQ/wHJmnscTt1Q5wAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 800x600 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot the huber loss at alpha=0 as a function of delta\n",
"fig, ax1 = plt.subplots(figsize=(8, 6))\n",
"ax1.plot(df['Delta'], df['Huber Loss at Alpha=0'], 'b.-')\n",
"ax1.set_xlabel('Delta')\n",
"ax1.set_ylabel('Huber Loss at Alpha=0', color='b')\n",
"ax1.tick_params('y', colors='b')\n",
"ax1.set_title('Huber Loss Properties as a Function of Delta')\n",
"\n",
"# Plot the alpha value for zero huber loss as a function of delta\n",
"ax2 = ax1.twinx()\n",
"ax2.plot(df['Delta'], df['Alpha for Zero Huber Loss'], 'r.-')\n",
"ax2.set_ylabel('Alpha for Zero Huber Loss', color='r')\n",
"ax2.tick_params('y', colors='r')\n",
"\n",
"# Add a legend\n",
"lines1, labels1 = ax1.get_legend_handles_labels()\n",
"lines2, labels2 = ax2.get_legend_handles_labels()\n",
"ax1.legend(lines1 + lines2, labels1 + labels2, loc='best')\n",
"\n",
"# Show the plots\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "f0631b0d",
"metadata": {},
"source": [
"Now let's define derivative of Huber loss, wrt alpha:"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "562d56a6",
"metadata": {},
"outputs": [],
"source": [
"def deriv_huber_loss(alpha, delta, quad=True):\n",
" if abs(alpha) <= delta and quad:\n",
" return abs(alpha)\n",
" else:\n",
" return delta"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "4045c3cf",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f866d6506a0>"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Set the values of alpha and delta that you want to vary over\n",
"alpha_vals = np.linspace(-10, 10, 201)\n",
"delta_vals = np.linspace(0, 5, 11)\n",
"\n",
"# Set quad for huber loss calc\n",
"quad = True\n",
"\n",
"# Create an empty array to store the results\n",
"results = np.zeros((len(delta_vals), len(alpha_vals)))\n",
"\n",
"# Loop over the alpha and delta values, and calculate the huber loss for each combination\n",
"for i, delta in enumerate(delta_vals):\n",
" for j, alpha in enumerate(alpha_vals):\n",
" results[i, j] = deriv_huber_loss(alpha, delta, quad)\n",
"\n",
"# Create a single plot with multiple series for different values of delta\n",
"fig, ax = plt.subplots(figsize=(10, 6))\n",
"for i, delta in enumerate(delta_vals):\n",
" ax.plot(alpha_vals, results[i, :], label=f\"Delta = {delta}\")\n",
"\n",
"# Set the axis labels and title\n",
"ax.set_xlabel('Alpha')\n",
"ax.set_ylabel('Slope of Huber Loss')\n",
"ax.set_title('Slope of Huber Loss for Different Values of Delta')\n",
"\n",
"# Add a legend\n",
"ax.legend()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "e5bd5a02",
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.10.6"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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