{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Ricorsione"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"La *ricorsione* è un meccanismo di calcolo che consiste nel risolvere un problema risolvendo dei sottoproblemi simili a quello originale ma più semplici. Si configura generalmente come una alternativa alla *iterazione* (cicli). Tipicamente la ricorsione prende la forma di *funzioni ricorsive*, ovvero funzioni che richiamano se stesse, con parametri più semplici di quelli della chiamata originale."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Consideriamo una funzione che visualizza un triangolo rettangolo formato da asterischi, come abbiamo già visto in passato."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"def triangolo_iterativo(n):\n",
" \"\"\"\n",
" Disegna un triangolo rettangolo formato da `n` righe.\n",
" \"\"\"\n",
" for i in range(1, n+1):\n",
" print(\"*\" * i)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"*\n",
"**\n",
"***\n",
"****\n",
"*****\n"
]
}
],
"source": [
"triangolo_iterativo(5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Notare che questo triangolo è formato da uno composto da 4 righe (come sarebbe l'outpit di `triangolo_iterativo(4)`) più una riga finale di 5 asterischi. In generale, un triangolo di `n` righe si può pensare come composto da uno di `n-1` righe con l'aggiunta finale di una riga di `n` asterischi."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Questa è l'idea che da origine alla soluzione ricorsiva."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"def triangolo_ricorsivo(n):\n",
" if n == 1: # caso base\n",
" print(\"*\")\n",
" else: # caso ricorsivo\n",
" triangolo_ricorsivo(n-1)\n",
" print(\"*\" * n)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"*\n",
"**\n",
"***\n",
"****\n",
"*****\n"
]
}
],
"source": [
"triangolo_ricorsivo(5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Quando la funzione `triangolo_ricorsivo(5)` viene chiamata, essa causerà in cascata la chiamata di `triangolo_ricorsivo(4)` quindi di `triangolo ricorsivo(3)`, `triangolo ricorsivo(2)` e così via. Perché questa catena di chiamate si arresti, è necessario prevedere un *caso base* (in questo caso qundo n=1) che viene risolto direttamente, senza causare una ulteriore chiamata di funzione."
]
},
{
"attachments": {
"image.png": {
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"
}
},
"cell_type": "markdown",
"metadata": {},
"source": [
"Vediamo più in dettaglio le tracce di esecuzione di `triangolo_ricorsivo(1)`, `triangolo_ricorsivo(2)` e `triangolo_ricorsivo(3)`. Notare che queste tracce di esecuzione sono semplificate: quando avviene una chiamata di funzione durante l'esecuzione, non tracciamo passo-passo anche quest'ultima, ma ne consideriamo direttamEnte il risultato (in questo caso l'output) che conosciamo già dagli esempi già calcolati.\n",
"\n",
"![image.png](attachment:image.png)"
]
},
{
"attachments": {
"image.png": {
"image/png": 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hUIg1a9Zg+fLlSo291mvbuKzPA9l8Ph/z5s3Dtm3bUF1dzU3i8+uvv0rkE4lEmDJlCvLz87F3716Ym5ujtLRUonepMSoqKqCjoyOVLmtfNDQ0UF1dLbOc6upqbhtXV1eMHTsWc+fOxZQpUxAaGooePXpgzpw5MreVd9y2b9+Obdu24Y8//uAmNdm4caNC+9WcmvozakozZ87E3LlzsX79ety9e1ei57gx+6XoufKil9N0dXWhrq6OXr16YcqUKfXcs/83ePBgtG3bFr///ju++eYbJCQkYMKECdz6v//+G+PHj8f69euxYMECAOJJq+T1jNbnOq9v2bLIu0YJIYQ0PQ0NDQCQeU+rTZN3XygqKkJBQQEcHBxgaGgIW1vbRt3PCHndCIVCtG/fHvr6+nK/Hx48eBDV1dXc60JKS0uhri67ORcbG4vy8nKJ0YiAuMFZXl7eZCOy3phxXqWlpTh9+jQcHBzg4+OD06dPw9LSUiLP/v37ERQUhMDAQG6YbXl5Obc+OTlZ4fpk9djFxMTUOXPTi3r37o1Hjx5JpVdWViItLY2bBfTp06cYOHAgdu7cCWNjY3z11VfYtm1bvU6I5ORkzJs3D9u3b5eYLfPFfQ8JCVG4vKakzM+oub3//vtQU1PDkSNHcPnyZXh5eXHrFNmvhIQEmeX27t0beXl5MocgP3z4UGLGWHm0tLTg5uYm85wTiURIT09/ZRmA+K/QM2bMwK+//oqHDx+iffv2EusnTpyI6dOnS8wirKzzrL5ly7pGU1NTFb5GCSGEKFf37t2hpqYm81708OFD7oXuALjRa7W/y7OysnD//n0A4uGvssoAIPOxIUJUwenTp1FRUYE1a9bIHFHGGMPPP/8MdXV1bmh57YywstR2RC1dulQiXV9fH3w+H3FxcUreA7HXsnHJGJN4yaes9SKRSCItIiICycnJ6Ny5s9whfgkJCbC0tJToHr579y50dHRQVVWF7OxshWN8uSFQ+9oOf39/iTgByNyXJUuWICUlBYmJiRLpISEhsLa25v5iIRAIEBQUhMrKSri6uko8V/oyecft4cOHEIlEcHR05NIKCwuRmZnJjcNOSUnhypD1pVxWurwhsfLyyiv3Rcr8jJqblpYWPvnkE2zatAnGxsYSw7oV2a+SkhIA0sdqzJgx6NmzJwIDAyXqy8zMxK1bt7BixQoura5zbt26dTh06JBUIzUwMBBZWVkK7+fUqVPx7Nkz+Pn54b333uPSy8rKkJaWJnGeAUBiYqLM80xenLXrX7zG61N2rdjYWImfHz16hMjISJnX6Mu/T+Sdwy/nI4QQIqbI9wQLCwssXLgQhw4dkkgXCoU4fvw499o4AHBwcACPx+PuWZmZmdwfyBcvXownT57g+vXrEuU8fvyYHn0gKisjIwOAeHi3LPPnz0dsbCz8/f25joq2bduiqqpK6hnNY8eO4dq1a3B1dcWgQYOkyjIxMcG1a9eUvAdiav4vftOqw4oVK6Bg1kYJDg5GQEAAIiMjYW5ujpKSEm7ikydPnnDrnz9/DisrK25cfmFhIUaMGIHVq1djxYoVWLNmDc6ePYuKigr06tULPB4P1tbW+PXXXyEQCNC1a1fExsYiLy8PxsbGiIyMRGFhIQYOHFhnfHl5edi6dSscHR0hEAhgY2ODy5cvY9GiRdi7dy+6d+8OAAgPD8cff/yBmzdvQigUori4GF26dOEaHPr6+nj77bexcOFCdOzYEUZGRggJCcGWLVtw6NAhrtdVT08PwcHB+PTTT7F69WqsXLkSGzZswI0bN2BmZgYnJyckJSXh2LFjOHbsGIqLiyEQCGBhYcE1ZGxsbHDhwgXExcWhd+/eKCkpwfHjxzFx4kTs27cPfD4fffr0QVRUFAICAhAbGwtjY2MYGBigpKQEQUFBOHz4MCorK6GjowMXFxecPHkShw4dwv3796GnpwdTU1OUlZUhKCgIAQEB3BhvFxcXnDlzBgEBAbh//z4sLCygr6+PwsJCHD9+HEePHkVRURF0dHTQtWtXpXxGjdWYc71NmzZYvXo1fvvtN4mGpCL7NXz4cO78/ueff2BpaQlbW1vo6upi+PDhWL9+PXg8Htq1a4f79+/j888/5yaGAl59zjk6OsLMzAxr1qyBh4cH9PX1cerUKZSVlWH48OEK76Ouri5iY2PRtm1bjBw5kksXCATIyclBUFAQevfuDQMDA+zduxfTp0/Hf//7X7Rp0wZaWlooLi6uM86//voLAQEBuHfvHgwNDWFnZwczMzOFynZ1dUVeXh6ePHkCR0dHpKenw87ODhEREVi4cCF27NjBXaN3797FH3/8gdDQUDDGYGtrC1NTUxw7dkzqM7h69apUTC9OLEQIIW+S+twH09LS6rz3x8TEQFNTEyYmJjA3N8fAgQNx9epVXL9+HW5ubsjKyoKfnx8GDRqEefPmceVqaGggJSUFd+7cgaenJ06ePIkRI0YAEN+HPD09sXz5ctjb28PW1hZ37txBcHAw/Pz8aAI28lpR9HoyMDDA1q1bUVFRgfHjx0usW7hwIbZs2YIOHTrgwIED3FBYTU1N7N+/HyKRCD4+PgCAs2fPYvz48dDQ0MC1a9dkdkyVlJTg7NmzmDFjBjcpo7LwmCLTcqHuyVuUKSIiAmpqauDxeBCJRNDW1uZmKc3JycHDhw+58fhqamro0aMHQkJCcOzYMSxfvhzGxsYoLi5GTk4OEhMT8f3332Pu3Lnw8/MDABQXF+PcuXPIyclBt27d0K9fPzDGEB4eDhcXFxgZGdUZX2JiIpydnZGQkACBQIBr167BxsYG/fr1k5i1LD4+HsXFxeDz+WCMobq6WubLS8vKyhAeHo7k5GR07doVvXv3lhg7vXr1aohEIsycORMaGhooKChATk4OwsPDsXLlSoSGhsLCwgJPnjyBuro613vp7OwssS9CoRChoaF4+PAh7Ozs4OvrCzU1NcTFxUFHRwft2rVDZGQkRCIReDwehEIhrK2toaGhgdTUVK7s2v24desW+Hw+l9fW1hYaGhpITk7m8lZVVaF///64ffs2AEiUq66ujrS0NC5vTU0N+vXrp5TPqLEae66Hh4fL/KxftV+6urq4desWBAIBeDweqqqq4Obmxs0oLBKJcPv2bdy/fx9t2rRBv379JGYbVvScy8nJwfXr11FcXIwBAwZwf7ypj9TUVGhoaMDGxkZq3b179/D3339DV1cXo0aNgqGhIbKyspCWloZevXq9Ms47d+6gpqaGG+rRvn177i90ryobEA+VLS4uhoWFBVJTUxEWFgZbW1upa/TRo0fIycmBQCCASCSCqakpHBwcZH4GDx8+lBsTIYS8aepzH8zOzlb43t+mTRtuu0ePHiEiIgJaWlp46623pGb4BsT3vT///BMZGRkYPXq01O/d8vJyhIeHIyUlBR4eHujRo0cj9pqQplGf68nOzg7p6emYPXs2Jk6ciIiICOzcuROpqakwMzPDP//8I/WmCUNDQ5SUlGDcuHFITk7G3bt3oa6ujpCQEK7BKcuFCxcwcOBAaGpqNmr/XvbaNS4bwtHREVevXpU5HDYoKAg7d+7EuXPnlFLXi43LTp06KaVMedLS0jBkyBC5zxX4+fnByspKaiw1aZzX+VwnhBBCmhrdBwlRnvpcTwkJCejduzeKi4u5NIFAAF9fXxw9elTm5D3Xrl2Dj48PN3t+hw4d8Oeff8odXtvUXtvZYuujU6dOiI6Oltm4/Oeff6Tez9gYtc9cNcezVxYWFigvL0dOTo7MXpLk5OQ6/yJBCCGEEEIIUQ3Ozs54/vw5fv/9dyQmJsLFxQWjR4+uc9TegAEDUF5ejujoaLRp00bqdYLN7Y3ouczLy8PChQvh6uqKESNGwNLSEmlpaThx4gTy8/OxYcMGpXT5nj59GoGBgTh48CA++ugjTJo0Cb6+vkrYA/nu3buHtWvXwtfXF2+//TZ0dHQQHx+PP/74A+7u7pg7d26T1t8avc7nOiGEENLU6D5IiPK0tuvpjWhc1srIyOAmSrG0tISHh4dSn8/LyMhAdXU1+Hw+RCIRNDQ0YGVlpbTy65KQkICkpCSUl5fDzs4OPXv2rNc7AoniVOFcJ4QQQpoK3QcJUZ7Wdj29UY1LQpSBznVCCCGtGd0HCVGe1nY90VzNhBBCCCGEEEIaTeEJfTw9PSVeCk/Im4zOdUIIIa0Z3QcJUQ5PT8+WDqFZKdy49PLyQlhYWBOG0nT8/f0Vfhnw64Zib36qGjchhBCiDHQfJER5Wtu11CqeuaTYW4aqxq6qcRNCCCHKQPdBQpSntV1P9MwlIYQQQgghhJBGo8YlIYQQQgghhJBGo8YlIYQQQgghhJBGo8YlIYQQQgghhJBGo8YlIa8pT09PfPbZZy0dRr0cO3YMPB4PCQkJzVbn63qcsrKyYGtri99//73J6rhy5QoEAgGuX78OALhz5w4+/PBD2NraQlNTE/b29pg8eTJSUlK4bUpKSuDo6Ihly5Y1WVzyNMcxAYDnz5+Dx+Nh586dTVpPU8nNzZWKv7mOHSGEENIY1LgkpBl4enrir7/+qtc2rq6ucHBwaKKI3hyv63EyMDCAs7MzLCwsmqT8qqoqTJs2DVOmTMHbb7+NyspKfPDBB6ipqcG6detw/vx5rFq1Cjdu3MDQoUNRWVkJANDT08Mvv/yCtWvXIjo6uklik6epj4kyhIaGom/fvjLXff/991iyZEkzRySmCseOEEIIUfg9l4SQhklPT8eNGzfqvd3WrVubIJo3z+t6nLS1tXHp0qUmK3///v1ITk5GSEgIAEBTUxNxcXHQ0NDg8nh6esLIyAhjx45FVFQU+vTpAwAYM2YMOnbsiFWrVuHYsWNNFuPLmvqYKENgYKDMdKFQiBMnTsDX17eZIxJThWNHCCGEUM8lIU3o+PHj6Ny5M4RCId555x3weDy0bduWWz937lyMHTsWqamp8PX1hZ6eHj7//HMAQNeuXTFp0iSJ8h49eoQZM2bA2dkZOjo6sLe3h5+fHyoqKiTyzZ07FyNHjkR4eDi8vLygp6cHGxsbfPrpp8jLy5PIGxwcDDc3N2hqasLBwQGrV69GQEAArKysJPLduXMHvr6+MDExgb6+PgYMGKBwb2xWVhY+++wz2NjYQFtbGy4uLti8ebPC732q73ECgICAAPTp0we6urowNjbGwIEDkZmZWa+Yjh07BmNjY5SVlWHOnDkwNzdHly5dAAAxMTF49913YW5uDm1tbbRv3x6zZs2CUCgEID20MTg4GDweD6GhoVKxDh06FB07duR+VuRY79u3D2+99RacnZ25tBcblrVKS0sBiHssa/F4PHzyySc4deoUnj9/Lu+wK52s4Z61aeHh4ViyZAns7e2hq6sLDw8PBAUFvbLMvLw8TJ06FaampjA0NMTQoUPlDss+ePAgunXrBm1tbbRp0wb+/v6oqanh1vfv3x87d+7ErVu3wOPxwOPxsHfvXiQlJaF9+/aIjY3F2rVruXWpqanctrt27cLAgQNhYWEBAwMD9OvXD2FhYVIxxMbGwsfHBzo6OjA1NcW0adMQFxf3yuHkso4dAFRXV2PVqlXo2LEjtLS0YG9vjy+//BJFRUWvPHaEEEKIslHjkpAm5O3tjYMHDwIA9u7di5SUFO75uFoPHz7EsGHDYGNjgz179mD69OlyyysqKkJmZia+//57hIWF4csvv8TmzZuxdu1aqbw3btzAhx9+iIkTJ+LUqVNYsmQJjhw5Aj8/Py7P9evXMW7cODg5OeHMmTPYsmULrl69ii+//FKirNu3b6N///6oqKjAnj17cOLECXTo0AEjRoyQ29NTq7CwEH379sXFixfx448/4uzZs5g8eTIWLVqEefPmvfIYNuQ4bdiwAZMnT4arqysCAgKwdetW9OvXD5aWlvWO6fnz5/jggw+QmJiIdevW4ZdffoFIJIKPjw+qq6tx5MgRnD9/Hl9//TUsLS2hpqYmMyZfX1+Ym5vjwIEDEumZmZm4fPkyPv30UwCKHevS0lJERETAy8tLqh6hUIiKigpkZmbi4MGDWLBgAT766CO4uLhI5KuN/8qVK3Uf+Gby/vvv4/Hjx9i6dSuOHTsGMzMzTJgwAfHx8XK3qf2jzfHjx7Fq1SqcPHkSU1CvrgAAIABJREFUw4YNw7hx48Dj8STy7tixAx9//DGGDBmCCxcuwN/fHxs2bMDcuXO5PAEBARg8eDC6deuGlJQUpKSkYPz48bC3t0doaCh0dHQwe/Zsbp2dnR237Z07d+Dt7Y1Dhw4hODgYNTU1GDt2rETjvbCwEIMGDeI+m8DAQOjo6GDw4MENPm4TJ07ETz/9hOnTp+Ps2bNYsWIFjh8/jkGDBnFDoQkhhJBmwxRUj6yvHYq9Zahq7MqO+/bt2wwA+/PPP6XWzZkzhwFga9eulVrn4uLCJk6c+MryBwwYwAYNGiSz3HPnzkmkf/HFF8zExIT72dvbm3Xs2JHV1NRwaZWVlczBwYFZWlpK5HNwcGDV1dUS5Y0aNYrZ2dkxoVDIGGPs6NGjDACLj4/n8qxevZrx+XyWkJAgse0vv/zCALDExMRX7mN9jlNZWRnT19dnU6ZMkVueojHV7o+vry8TiURcvvT0dAaA7dmzR24dOTk5DADbsWMHl7ZgwQJmYGDAysrKJOpUU1Njz549Y4wpdqwfPHjAALATJ05I1btjxw4GgAFgGhoa7LvvvmMVFRVS+SoqKhifz2erVq2Suw/KJuuY1Kb169dPIm92djYDwDZv3iy3vLNnzzIA7H//+59E+qZNmyTqqaysZMbGxuz999+XyLdmzRrG5/NZRkYGl+br68v69Okjsz5dXV22ePFihfb10qVLDAC7cuUKl7Z69WqmpqbGUlJSJPJ+8MEHEtdNXcfpxbTr168zAGz37t0S5UVGRspMJ0RRqnr/JuR11NquJ+q5JKSF8Xg8zJkzp8HbOzg4ID8/XypdTU0NQ4YMkUhzcnJCfn4+qqqqAAB///03Ro4cKdHbpqGhIbEdYwxXrlzB6NGjoa4u+Zj2+PHj8fTpUyQmJsqNLzQ0FF27dkWnTp2ktgWg8HNkih6nu3fvori4GOPGjVNaTHPmzJHoCbO2tsaIESMwf/58LFy4UOHZcT/99FMUFRXh1KlTXNrBgwe5HllFj3Xt8F5Zk7u89957uHnzJi5cuICffvoJ+/btQ8+ePVFQUCCRT1NTEyYmJsjIyFAo9qY2bNgwiZ/Nzc2hr69fZ3wREREAgLFjx0qkv/POOxI/R0ZGoqCgQOqc6N27N0QiEf7+++/GhC5T7SRTL16bt27dgru7u8TQeFnxKqp2iHXteVure/fuaNeuHS5evNigcgkhhJCGosYlIS3M3Nwcurq6CuWNiorCtGnT4O7uDnt7e1hZWcmdkMXExERqiCafL77kRSIRSktLUVRUBDMzM6ltTU1Nuf8XFxejurpa6hnM2tgBICcnR27M+fn5Dd725fyKHKfaZ0pry1dGTC83BgDg1KlT2L59O65evYrOnTtj8ODBuHv3bp2xubq6okePHtzQ2Pj4eNy7dw/Tpk0DoPixLikpAQCZx8PCwgJ9+/aFt7c3Fi5ciKtXr+LBgwfYtm2bVF5NTc3XZuikrM+Lz+dDJBLJ3aawsBACgQDGxsYS6S83unNzcwEAkydPhrq6OvfPx8cHAKQa3vVVXV2NTZs2YciQIXBycoK1tbXMGWczMjJeeb3VR35+PjQ0NKT2HxAfT0WvLUIIIURZqHFJSAt7+dkweWJjY9G3b19kZmZi27ZtCA8PR1RUFEaMGCEzf21DUh5dXV3o6+sjOztbat2LvS16enrQ0tKSma82ra4vx2ZmZg3e9kWKHicTExMA/9+gUEZMsupWU1PD1KlTcefOHdy6dQsVFRXw9PREVlZWnfF9+umnOHfuHHJzc3Hw4EGYmZlh1KhRABQ/1rWNJ0UmbWnTpg0MDAyQnJwsta6oqAgGBgavLKM5vOp8lcXQ0BDV1dVSx+HlxmLtObFt2zZERUVJ/IuJicHo0aMbHjjEn+myZcswceJEnD17Fnfv3pXona5lZWX1yuutPszMzFBVVYXCwkKpddnZ2Q1utBJCCCENRY1LQpqYpqYmgP+ftbOh/vrrL1RWVmLXrl14++23uZ7Lx48fN7jMHj164OzZsxIzpAqFQolJh/h8Pnx9fXHq1ClUV1dLbH/s2DG0a9cOnTt3llvHu+++i/v37+PRo0dS26qrq0sNh2wsDw8P6Ojo4Pjx480WU+/evbFlyxaUlJQgLi6uzrwffvgh1NTUEBQUhMDAQEyePJmb5VXRY21tbQ0ASEpKemVskZGReP78ucSssoC48VFcXAxHR0e52zLG8OjRI4nzQ9G05tC7d28AwOnTpyXSXx7W3LNnTxgZGSE6Ohpdu3aV+mdkZMTl1dTUlHutylsXHByMDz74ADNnzkSnTp1gbW0tNStzbRwxMTFIS0uTSJc1q6wiRo4cCT6fL3WuR0ZGcjMr1yUnJ0cqTkXTCCGEEFnoPZeENDEnJyfuxfWWlpaoqKiAt7d3vcupbRycOHECs2bNQk5ODjZs2IDExEQ4OTk1KLbvv/8egwcPxvvvv4/PP/8cNTU12L17N7KzsyVea7F+/Xq4urpi5MiRmDdvHrS0tBAQEIAzZ87g1KlTdfY6zZ49G3v27IGvry++++472NvbIzw8HP7+/vDz80P79u0bFLs8urq6WLZsGb799ltoaWlhxIgRKCsrw99//42lS5fCzMys0TGlp6dj6dKleOedd+Do6IiysjJs3LgRenp6cHNzq3NbY2NjjB49Gv/973+RlJTEDYmtpcixtre3h5mZGS5dusRtf/XqVXz77bcYO3Ys2rdvD4FAgJiYGGzYsAFt2rSRml239t2rsoZv1vr555+xaNEirF+/Hl999VW90prDsGHD0K1bN8yZMweFhYXo1KkToqOjsWPHDolzUlNTE2vXrsXs2bNRVlaGUaNGQVdXF+np6bh58yb27NnD5XV3d0dQUBB27NgBDw8PmJqaokOHDty6wMBADB8+HHp6enB1dYWJiQmcnZ0RERGBlJQUWFpaIjw8HMuWLZOKd/78+di8eTNGjhyJVatWwdjYGH/99RdOnjzZoP13c3PD7NmzMX/+fBQWFqJ79+5ITk7Gd999h169euGTTz6Ru61QKISTkxN4PB7y8/OhpqamcBohhBAil6Iz/9Qj62uHYm8Zqhp7U8QdHBzMXFxcmKamJnNzc+PS58yZIzEr64tkzRa7atUq1r59e6apqcnatm3LfvzxR/bbb78xd3d3iXzyyt24cSMDwMrLy7m0o0ePsq5duzKBQMBsbW2Zv78/++qrr6S2j46OZiNGjGD6+vpMW1ub9e3bl506dUoij6zZYhkTz3Q5Y8YMZmFhwQQCAevUqRNbt24dN8vsq9T3ODHG2J49e5i7uzvT0tJiRkZGbMiQIez58+f1ikne/hQWFrIJEyYwMzMzpqamxgwNDdnQoUPZrVu3JMrHS7N71vrzzz8ZANajRw+Z+6TIsZ4+fTozMDBglZWVjDHGMjIy2KxZs5ijoyPT0dFhWlpazMnJic2ZM0diNtRaH330EbO3t6/zMzhy5AjT1dVlR48erXeaLIrOglrL0NDwlbOzZmVlscmTJzMjIyNmYGDA3nnnHRYfH88cHR2lygwODmZvv/0209PTYzo6OqxDhw7syy+/lMhTUlLCJk2axExNTZmBgQE7cOAAty4+Pp4NGDCA6erqMisrK2624QcPHjBvb29mZGTEnQsxMTGsbdu2LCgoSKL8qKgoNnjwYKatrc2MjIzYxx9/zA4cONCg2WIZY6ympob98MMPzMnJiQkEAmZjY8M+//xzlp+fX+dxY4wxd3d31r179walkTebqt6/CXkdtbbriceYYuOYeDxesw95UhaKvWWoauyqGrcyzZo1CxcuXJD5nB55PURFRaF79+7Yt28fPv7443ptm5mZiXbt2sHf3x+LFy9uogiJog4dOoQPP/wQjx8/Rps2bVo6HELoPkiIErW264meuSSESKiurkZYWJjUazqako+PD4yMjGT+GzlyZLPFoUq6deuGGTNmYOnSpfV+nnfFihWwt7eHn59fE0VH6uPChQvQ19fnnqUlhBBCVBU9c0lIK3bs2DGEhITAx8cHtra2KC0txbZt2/Dw4UNs2rSp2eLYv3+/3FdiaGlpNVscqmbTpk2wt7dHUlIS3N3dFdqmrKwM1tbWOHHiBB3bZvbkyRPMnDkT7733HhwcHCAQCHD69Gns3bsXixYtgkAgaOkQCSGEkEZ59bDYpCRg2TLwjh5V2S5dVe6Optibn6rG3RDR0dH47rvvEBkZidzcXGhoaMDNzQ1ff/11o1/PQAiRVFRUBD8/P1y7dg2ZmZkQCoVwdHTE1KlTsXDhQposh7w2WtN9kJCm1tqup1c3LjMzAUdHXCgvh8/Nm0AdMwu+rlT5Q6XYm5+qxk0IIYQoA90HCVGe1nY9vXpYrJUVkJSEDra2QL9+gIYG0KkTMGgQMHMm0Lkz0ICXXzeZykogLg6oqgJu3gRMTbESALZuFa/v3l28Hwq+kJ0QQgghhBBCyKvJ77ksLwd27gSmTgWMjeHl5YX0K1ewHIAnAHsAPAClAHIBHAEQBeAMgOImDloXQCcA/QC8A6AIwOB/0/UU2L4awFoAy5sqQEIIIYQQQkir5+npibCwsJYOo9nI77l85x1xD+Djx8CmTfDy8oJ/7YFJTRX3EIaGQvf+fegGBGBRcTEgEol7MQ0MgAEDAGdnwMsL6NMHMDWtX2QVFUBMDJCdDaSkAAEBAGPAkyfAs2eyt9HWBjp0AAoLgcGDgZwcoEsXxJ49i679+gEPHgDx8RDk5+NbAN/u2iXufX2N+fv7w9/fv6XDaBBVjV1V4yaEEEKUge6DhChPa7uW5Pdctm8vHhJ7/bo444vjhSMjxQ1HXd3/z//8ObBrl7jhd+AAUFIC1NT8/3p1dcDGRtxo7NEDyMsDtLQAS0txI9LAQJwnNlbcSC0pkR2xqal4SOuAAUDPnuJhuu+8Azg5icuTtZMvj3X29gYuXQKmTAH27lX0WLUIVR6nraqxq2rchBBCiDLQfZAQ5Wlt15P8xmWHDoC+PnD3rjjjiwcmPFz87GJd09iXlwPHjgH5+cCJE+LGYnY2kJEBCIWyt1H/tyPV3Bzo2lXcA9m1q7gX0swM8PAALCzqv5Mvxl5UBJiYiGOIjgbc3OpdXnNS5RNSVWNX1bgJIYQQZaD7ICHK09quJ/mNSx8f8TDUixfFGV88MDEx4h5EG5uG15yVBddu3ZCelYW89HRAT0/8rwlIxG5rC6Sni3s6k5KapD5lUuUTUlVjV9W4CSGEEGWg+yAhytParif507xqaYl7GmVxchI30Boh5M4dxGZmopDPFw+/baKGpYSkJHHcamrA7dtNXx8hhBBCCCGEtBLyG5fFxeIhrLLo6Iifd2wgkUiEKVOmAAA6d+7c4HLq7eRJ8bJvX8DYuPnqJYQQQgghhJA3nPzGZd++4tlXm8DcuXORl5cHQDw9b7O5d0+8dHFpvjoJeY3l5eVh5cqV6N69O0xNTaGjowNra2vs2rWrpUMjhBBCCCEqRv6rSAQC8YyuSpaUlISdO3eiTZs2SEtLg6GhodLrkCs3V7wcMqT56iTkNZSWlobJkycjPDwcIpEIgPiZAB6Ph8zMTMyePRtCoRBffPFFC0dKCCGEEEJUhfyey5wcoKwMqKpSWmUikQgDBgyAmpoa1q9fDwAwre/7LxujsFC8dHJqvjoJ+dd//vMf6OrqYv/+/S0ax/Lly9GuXTtcv34denp6mDFjBm7fvg2RSAShUIidO3cCAFavXt2icRJCCCGEENUiv3E5cKB4mZ+vtMreffddZGZmYuXKlXBwcAAA6L74rsym9vSpeOns3Hx1EgIgPz8fGzduRFlZGWbNmtVicVy7dg2rV68Gn8/HmjVrUFhYiN27d6PnC89QT5s2DQBQXV3dUmESQgghhBAVJL9xWdujqKTG5YYNGxASEoKePXti6dKlqPq3R7S8vFwp5SukvFw83Lc5G7SEAPjiiy/AGIOGhgYqKipQ+G8vekFBAbp27dpsvYRxcXHg8XjYsWMHFi9eLDNPbc+lh4dHs8RECCGEEELeDPIblwKBePngQaMryczMxNKlS6Grq4vr168DaOYey1qFhYCZWfPXS1q906dPg8/nw8fHBwBw48YNAECvXr0QFxeH5cuXI7f2meAmNHv2bOTk5GDq1Kky11dXV+Pbb78FAKxbt67J4yGEEEIIIW8O+Y3L2kZYSUmjK8nOzsZbb72FBw8eQFNTEwC4iXxiYmIaXb5CcnKAmhrxOy4JaUYhISEoKytDnz594OrqCgB48OABCgoKkJycDD5ffBnu2LGjQeVfvXoVI0aMgLu7O1xdXREXF1dnflNTU6iry57Lq3///igqKkL//v3RrVu3BsVDCCGEEEJaJ/mzxdrYiJdKeO7Kzc0NoaGhEml2dnYA0Cy9NQCAxETxsl+/5qmPkH/5+/sDADZt2oTk5GQAwM2bN6GtrQ3GGNzd3REVFYVbt24pXGZ6ejo+++wzXLp0iRtiXmv37t3473//W68Ynz9/ju7duyMlJQWWlpa4fPlyvbYnhBBCCCFEfuPS2Bjg85vkdSQAoKmpCXV1dTxQwrBbhUREiJelpc1THyEAysrKcPfuXZiZmaF3794Q/DvcXF1dHadPnwYATJkyBVFRUUhLS3tleVVVVRg3bhzOnDnDpfF4PBgYGMDIyAgDBgzAxo0bFYrt+fPnOHjwII4cOcK9ksTOzg4PHjyAhoZGA/aWEEIIIYS0ZvIbl2pq4sblpUvAkiVNUrmWlhaePHnSJGVLqZ04aPz45qmPEADffPMNRCIRN0OstbU1AODu3bsoKioCn8/HBx98gAULFiA7O/uV5cXFxeHMmTPg8/mwtbXFpEmT4O/vDx0dnXrH5urqiqe1MygDMDExwfz587lhuoQQQgghhNRH3d8iDQ3F/5qIu7s7KisrJb7gvqioqAg5OTnKqSwkRLxkTDnlEaKAvXv3Ql1dnZskp/ZZY319feTm5sLCwgKWlpbg8XjcDLJ18fDwQEREBJ4/f460tDSsW7euQQ1LQNzwtbKygra2NtTU1JCfn49FixbBwMAAvXr1wsOHDxtULiGEEEIIaZ3qblxaWTVp5QP/fZfm3r17uTSRSITAwEB0794dZmZmePfdd5VTWW2jctgw5ZRHyCvcuHEDz58/x+DBg6GlpQUA3DI1NRUikQhdu3YFAAgEAlRWVipUbp8+faCvr9/o+GbPno2MjAyUlZWhpqYGN27cwJgxYyAQCHDnzh04Ozvj66+/bnQ9hBBCCCGkdai7camvL55ltYlYWFgAAOLj47F8+XK0b98eAoEAEydOxL179wAAP/zwg3Iqi4oSD/OtnaiIkCb29ddfg8/n48iRI1waj8cDj8dDWVkZAGDw4MEAAB0dHTDGFOqpDw4O5iYGellRUREeP37coHjfeustBAUFoaysDF988QUA4Oeff8bu3bsbVB4hhBBCCGldeIzVMU7U1lb8KpLCQvB4PNSVVREVFRWYMmUK4uLikJGRgfz8fJn5LCwsMH36dPj7+ytlYhEdHg9lfD7g5ASo2FA/ZRz3lqKqsSsr7h9++AEGBgaYN2+eVPm1dWRlZcHCwgL29vZ4+vQpLly4AG9vb7llFhQUwNTUFADg4OCACRMm4IMPPkDHjh0RHx+P0aNHo6CgAKVKmLhqzpw52L59OxwcHJCamtro8gghhKgGVb1/E/I6am3Xk/wJfQDAxQV49EhplQUGBiIwMFAijcfjQU9PD506dYKvry8WLFjAPZemLAMBQCQC/h2SSEhz+Oabb+SuY4zB1NSU6703NjbG06dPERERUWfj0tjYGP/5z3/wyy+/IDU1FevWrcO6desk8tSW2Vi1w3TlvROTEEIIIYSQF9X9rdHUFEhIUFpln3zyCTIzM3HmzBn07dsX77//Prp27QptbW2l1SEL91W7Z88mrYcQRZiYmCA/Px8rVqzg0tq1a4eYmBhER0e/cvv169djypQpGD9+PJKSkiAUCrl11tbWuHHjRqNjLCgowP79+wEAn332WaPLI4QQQgghb766h8VOnw6cPAnk5qp0l+5+Hg+fAMCuXcDMmS0dTr2o8nFX1dibOu7CwkKkpqbC3d2dS7t58yb69++PRYsWYc2aNfUus6SkBHp6ekqJTygUwtnZGUlJSTA3N1foFSmEEELeHKp6/ybkddTarqe6ey6TkoCCgmYKpel0rv2PnV1LhkEIAPHrSF5sWAJAv379EBkZCWdn5waVqayGZWlpKXr06IGkpCSoqakhIiJCKeUSQgghhJA3X92NS2tr7hUenp6e4PF4zRGT0iUDEAHQ8/VFeUsH0wCqetwB1Y1dVeNWJqFQCCcnp5YOgxBCSAug+yAhyuHp6dnSITSruhuXlpZc49LLywthYWHNEJKSVVUBmpqAlhbKylWvaenv7w9/f/+WDqNBVDV2VY27oUQiEebOnYtdu3ZBJBJBS0sLYWFh6NOnT0uHRgghpAW0tvsgIU2ptV1LdT9zuWABsGkTIBSCp6ammuOFY2IANzdgyBDg4sWWjqbeVHmctqrGrqpx11dBQQGWL1+O33//nXvvZvv27REeHg5zc/MWjo4QQkhLaS33QUKaQ2u7nuruuSwuFi9FomYIpYkEB4uXDg4tGwchr4kHDx7A1dUVoheua4FAgG+//RbfffddC0ZGCCGEEEJUGb/OtUlJ4uULrzpQOY8fi5f07BghAAAnJyeMHDkSOjo6sLKywpw5c1BaWkoNS0IIIYQQ0ih1Ny5dXMRLDY1mCKWJpKeLlyNHtmwchLwmNDU1cfLkSZSWliIjIwNbt26FQCBo6bAIIYSQesnPz8fy5ctRroJzahDypqq7cVlVJW5YKnnGsJKSkuZ7d17tJEQdOzZPfYQQQgghpEnduHEDdnZ2uHz5MtTU1Fo6HELIvxRrXCpBbm4uRowYAYFAAH19fVhaWoLP56Nfv35KKV+m6mqguhpZAKCl1XT1EEIIIYSQZvHo0SN4e3ujR48euHr1KjRUeYQdIW+YuhuXMTHiBmYjiUQiODo64s8//wQAtGnTBp07d4aOjg4iIiLw8ccfN7oOmRISgJoaxDdN6YQQQggh5AU5OTn4+uuv0b17d9ja2sLKygqzZs1CTU2NUsrPyMhAt27d0L9/f4SFhVGvJSGvmbpni+XxxO+IbKScnByUlJRAT08PMTExaNu2LQBxo1MgEODChQuNrkOmS5cAAPT3LEIIIYSQpnPy5EksWLAAKSkpAMSvXxAIBBCJRNi9ezfKy8uxf//+RtVRXV2NiRMnwtDQEAEBAdSwJOQ1VHfPpY4OYGvb6EosLS0RFhaGadOmQUdHh0svLy8HYwwWFhaNrkOmf1+1ENg0pRNCCCGEtHolJSUYO3YsUlNT4erqit9//x1VVVWorKzE0qVLAYDrWGiMwYMH4/bt27h48aLC3x2TkpKwcuVKhIeHN7p+Qsir1d1zWVgIGBoqpaKBAwdi4MCBEmnbt28HYwwTJ05USh1S/u25TGqa0gkhhBBCWr2amhoMGTIEmzZtgsu/bxoQiUQYN24cTpw4ATs7O6xcubJRdRw+fBjXr1/H0qVL0aVLF4W2mTp1Kvbv3w/GGH788UdUVFQ0KgZCyKvV3bgsKADMzJqkYpFIhJ9++gkaGhqYP39+k9SBePHTljlNUzohhBBCSKtnZGTEPeJUXFwMPz8/HD58GOXl5ejevTtu3rxZr/J2796NM2fOQCQSQVNTE1VVVTh37hx69uyJIUOGoKCgAMbGxnWWMW/ePOzbtw8CgQDV1dXo2rVrg/ePEKK4uhuX6elAE73/buHChSgoKMDcuXOhr6/fJHVAQwPg8xH17/BYQgghhBDSNBYvXoz169eDMQY1NTWMGzcO27dvr/dsrlu2bEFcXBwYYxLpd+7cgbe3NwBAQ0MDERER8PDwkNo+NDQUW7duBe/fV+l9+umn+O233xq4V4SQ+uCxl6/cWlVV4td3TJoEBASAx+NJXeQN9fDhQzg7O8PMzAzp6elQV6+7jdsgIpG4YaytDV5pqdJib27KPO7NTVVjV9W4CSGEEGVo6H3wyJEjmD9/PvLy8iAUCrl0CwsLnDp1Cn369KlXebm5ufj222+xe/duLFy4EMbGxigoKIClpSUGDhyInj17cpP6PH36FJs3b0ZQUBCSksQPRPXv3x9Hjx6FtbV1vfeFEGVpbd8r5Tcu09PFk/ksWwb88IPSDkxVVRWsra1RWFiIixcvwsvLq9FlypSdDVhaAm3agJeWprIfqiqfkKoau6rGTQghhCiDMu6DNTU1uHjxIjZs2IBLly5BW1sbeXl50KzHWwjOnz+P4cOHY8qUKfj999/l5vPy8sKVK1fA4/FgY2ODjIwMWFpaIj09vVH7QIgytLbvlfJni83590lFU1OlVjhkyBDk5+fjq6++arqGJQBkZIiXvXo1XR2EEEIIIUSKuro6hg8fjvPnz2P69OkoLS1FamqqwtsLhUJ88803MDAwwLp16+rMu3btWoSEhKCoqAj/+9//IBKJ4Ovr28g9IIQ0hPzxqP/8I15qaSmtsnnz5uH69evo27cv1qxZo7RyZQoLEy/pr1aEEEIIIS0iOzsb+/btg5qaGjp16lRn3gcPHuDw4cPw9vbGgQMHcOfOHQQFBUFLSwsBAQEYNWqUzHk6Xhxue/XqVQDAsGHDlLsjhBCFyO+5fPhQvFTSZDi7du3C1q1bYWZmxs0oVheRSIT8/PyGV1j7y6dnz4aXQQghhBBCGuTRo0do3749qqqq8PXXX8vNl52dDUdHR/Ts2RM5OTmwsbHBwYMHYW9vj127dsHFxQXt2rVTaALImJgYAEC3bt2Uth+EEMXJb1zWTrLTv3+jK7l8+TK++OILCAQCXL58GXp6enXmDwkJgba2NkxNTTFr1qyGVZqdLV46ODRse0IIIYQQUm81NTWYP38+OnfujOLiYowfPx4//fST3Py//vorUlPHdWzHAAAgAElEQVRTYWdnh/v378PV1RUVFRV4+vQp8vLycO3aNfTr10+hup89ewYAOHv2LJYsWYLdu3fT+y0JaUbyh8VmZoqXVlaNqqCqqgrDhw+HSCTCr7/+CldXV7l5hUIh1qxZg9WrV6OqqgqAeIhEg1y/Ll4+fdqw7QkhhBBCiMKWLFmCbdu2oaKiAjU1NeDz+fjhhx+wbNmyOrdbunQpMjIyEBAQgGfPnqGiogKWlpa4ePFivd5POWrUKNy7dw8A4OfnBx6PBxMTE7i5uaFv376N2jdCiGLkNy7T0wE1NcDColEVHD9+HNXV1eDz+bh8+TK0tLTQrVs31NTUoKamBo8fP8a5c+cQHR2Nv//+m5u6Wk1NDQsWLMD69esbVrGzMxASAtRz2mtCCCGEEFJ/GzduRFVVFXg8Hrp3745Tp07B1tb2ldvxeDxs2bIFW7Zsga2tLXg8HhITE2FoaKhw3dHR0Thz5gwAQCAQYP/+/Rg9ejS0tbUbvD+EkPqT37gMDRU3Lv99f1BDffDBB1i1ahXi4+Nx8OBBHDx4UH4w6urw8PDA3LlzMW3atEbVi7w88bIeU14TQgghhJCGSUxMRHR0NIYOHdqgRt2OHTuQnp6OOXPm1KthCQAdO3bEiBEjYGJigg0bNsDc3Lze9RNCGk/+ey5tbACBAHj8WJyxke9oyczMxLFjx3Du3DloaWnh8ePHaNeuHWpqargX4fZXwvOdnJ49gchIYPNm8ObPV9n3y6jyu3FUNXZVjZsQQghRhpa4DwqFQpibm6OiogKFhYUQCATNWj8hTaW1fa+U3XPJGPD8OTB4sNIqsrKywty5czF37lyllVknDw9x47Jjx+apjxBCCCGENMiaNWtQUFCAVatWUcOSEBUmu+cyNxcwNwdmzQJ27gQAeHl54cqVK80dX4MdBDAZwLsATrdwLIQQQgghhJDWx9PTE2FhYS0dRrOR3XOZnCxeGhtzSV5eXqp1YHr3Bm7fxql16+BfWgp/f/+WjqhB/P39KfZmpqpxE0IIIcrQEvfBH3/8EUlJSfjtt9+atV5Cmlpr+04pu+dyyxZg/nxgzhxg61ZxRlUbL+znB2zeDAQGgjdhgmrF/gKVO+4vUNXYVTVuQgghRBnoPkiI8rS264kvM7V2hlhf32YMRcl4PPEyN7dl4yCEEEIIIYSQVkB24/LZM/HSzq4ZQ1GylBTxMjKyZeMghBBCCCGEkFZAduMyLU28VOXGpaeneNmuXcvGQQghhBBCCFEJOTk58PPzQ3l5eUuHopJkNy4vXgT4fIkJfZpSaWkpYmJicOnSJVy8eBF37txBTU1N4wrV0xMva3thCSGEEEIIeU1VVVVhyJAhGDp0KJ4+fdrS4bxxHj9+jKCgoFfmS05OxubNm3HmzJlmiOrNI7txyRhgZtZklT558gRjx46Frq4u+Hw+9PT04ObmBm9vb/j4+KBXr17Q0vo/9u47PIpq/QP4d2ZbKqmkQhISEiCQQBBDk450UJQiRZFivKIioCg24CoCgnhBRZB60SuogEgJ/CgiAYTQQwklQgihBQghpNd9f38MO2FJ3+yy2eT9PM8+uztzzpl3JpvMvjlnzljh4MGDhm8kKUl6PnzYOEEzxhhjjDFmIo0aNcKePXuwa9cuhIaGmjucGuXAgQMIDg6uUOeVh4cHAGDXrl2mDqtGKn4rEq0WuH8f6NjRZBudMWMG/vjjDwCAQqGARqOBRqOBIAgoLCxEfn4+GjdujLp16xq+EV389esDJ04YIWrGGGOMMcaMb/r06UhISMDzzz+PzMxM7Nq1C3fu3IGbm5u5Q7N4ly5dQu/evfHyyy9j8ODB5ZZ3dnYGAMTGxpo6tBqpeM/l7dtAXp6UlJnIl19+iaNHj6KgoAAFBQXIzMxESkoK7t27h9TUVGRmZuL48eMIDAw0fCO6ntdr14wTNGOMMcYYYyawfPly2NnZYe3atRg4cCAA4OTJk2aOyvJlZGRgyJAhCAwMxOLFiytURxSl9MjPz8+EkdVcxZPL06elZysro29s06ZN8PDwwPfff49WrVpBobvliSno4r940XTbYIwxxhhjSE1NNXcIJUpLS0NmZqa5wyhTYmIibt68iQ4dOsDKygpOD+c84Qllqm7YsGGIjY3Frl27IOhuU1hBMTExJoqqZiueXF6+LD3b2hp1Q9999x0GDhyIBw8eoJNuJldT8vOTJiXSaEy/LcYYY4yxWoaI8PHHH6NOnTpwcnKCj4+PWeK4desWfv75Z0ycOBHdu3dHw4YN4eDgAKVSCQcHB9jZ2WHYsGFlthEfH4+MjIwnFLG+RYsWAQDGjx8PADhz5gwAoHHjxmaJ50nJycnBt99+i5ycHJO0v2zZMkRGRmLDhg1wcXGpcL3c3FwAQH0TjuKsyYpfc6n7AffsabSNLFu2DBMmTICVlRXi4uJQ70nc4kSpBOztgfv3S9hJxhhjjDFmqNjYWPTo0QM3b95EvXr14OfnB5VKVaxcXFwc3n77baxfvx729vZGjUGr1SI4OBgXHxulplKp4OjoiKCgILRr1w4vvvgiWrVqVWZbixcvRoMGDeQE70lKSEgAALRu3RoAsGXLFigUCqMll1qtFp988gnS0tLkRM7b2xvTp0+Xh4A+KiIiAgMHDkTv3r2Nsv3S3LlzBxMnTkR2djbef/99o7adkJCAN954A127dkW/fv3k5bdu3cKvv/4KDw8P9O3bt8TPpK7HmHuODVM879Ld49LX1ygbiIuLQ0REBADAzc0No0aNQlBQEJ5++mn069fPtBcq5+cDRLDgu3UyxhhjjFUr+/fvR8+ePZGXl4clS5bg9ddfR15eXrFhhwUFBWjVqhXS09MxbNgwo9/aQRRFfP7554iJiYGXlxeaNWuG5s2b44UXXkC7du0wc+bMCrc1ePBgrFmzxmixXbx4ETk5OWjevHm5Zf/++2/Y2tqibt26uHr1KmJjY9GyZUsA0j0Xp06dCmdnZ8ycORMaA0bk/fjjj5g9e3ax5f7+/hg1alSx5c888wyuXr1a6e2U5q+//kKnTp2KJbI+Pj6YOHEirpUwP8qdO3eQn58Pb2/vSm+PiPD666/D3d0dv/32GwDg22+/xccff4z09HS5nEqlQmpqKmxsbPTq37t3DwCq/XDqaose164dkSAQZWXpLS6paEVkZ2eTu7s7CYJAgiAQAL2Hh4cHrV692qC2y/XUU0QAhRoYe3Vg6HGvDiw1dkuNmzHGGDOGss6DV65cIWtra1KpVBQTE1NmOyNHjpS/77m6usrLd+/eTU2aNKFDhw4Vq5OSkkK3b982PHgiqlevHjVo0EBv2YEDB6hJkyZkZWVFSqWS+vfvX6ze+fPn5debN2+mF154gZYtW1bp7X/33XfyfqvVanr33XeLldFqtfJrNzc3qlevHhUWFlL9+vVJFEU6efIkpaWlkVKp1Gvr0Rgras2aNQSA5s+fTydPniQfHx8CYFBbZenXrx+JokjR0dHysoEDBxIA6tatW6Xa8vLyIoVCQSdOnJCXHT58mCIjI6mwsLDMumPGjCEAtHPnTiIiioyMJAAkCAK5uLjQM888QwqFggBQRkZGsfr79+8nAPTGG29UKubS1LbvlcX31tGRSKksXtBIB+bBgwe0b98++uSTTygkJIREUSQANGLECKO0r+fFF4kA6mHBP1RL/kBaauyWGjdjjDFmDGWdB/39/UkQBFq3bl2ZbVy4cIEEQZCTBAcHB3ndlStXSBRFCgwMLFavRYsW5Ovra3DsRERBQUHk7e2tt8ze3p4AkI2NjZywlZRYEBFNnDhRr0PE1tZWTsSioqLI2dmZ5syZU+r2hw4dSgCodevWpFKpCADNmDGDiKSEW5fYiKJIYWFhpFar5aQHAE2aNImIiH799Vf5vW7do8exooKDg0kQBLp37x4tXbqUAOgl19988w2NHDmyzDa2bdtGTZo0oWnTppVaZubMmQSAFAoF3bt3j4iIunXrRgBIWUJuURZdArxx40YiIgoLC5N/HqIolhrHtWvXyNbWltq2bSsvO3LkCA0fPpyuXr1Ks2bNknOP8ePHl9jGF198QQCoR48elYq5NLXte2XxvXVyImrZsnhBEx2YuLg4srKyIgB0+fJl4zbepg0RQF9Z8A/Vkj+Qlhq7pcbNGGOMGUNp58HFixcTAOrTp0+5bfj5+ZEgCHT+/Hm5p7Nv375yT5RarSa1Wl2snlKpJDs7uyrFHxwcTC4uLnrL9u7dS6Io0uDBg6ldu3YEgFJTU4mI6J9//tEra2VlRTY2NrR06VJ6+umn5QSTiKhp06YEgJycnOTyhYWF5O3tLXeU6JKsnj17kq2tLQGgBQsWUGJiIgmCQDY2NtSiRQtycXGREyZdMvvSSy/J7d6+fZu++uor+b2npycBoL///rvCx2L9+vUEgHx8fCg3N1fet6yHIxQLCwvlbV+9erVY/dzcXDmxc3Nzow0bNpS6rdzcXLmtCRMmEBFRWlqavOyHH34gIqL8/HyaNGkSrVy5stS2Bg0aRABo9erVdOXKFRIEgVxdXalt27Zycrhw4cJi9Zo2bUpWVlaUmJiotzwvL4+aNWsmH+vJkyeXuu1Zs2YRAPr6669LLVMZte17pf7epqcTAUSDBhUvaMIDM2XKFAJA7733nnEbnjyZCKBPLfiHaskfSEuN3VLjZowxxoyhtPNgYGAgCYJAt27dKrP+xIkT5d6xhg0bygnU0qVL5TIKhYI0Go1evX379hEA8vLyqlL8zZs31+vhy8nJIS8vLxJFkS5cuEC2trYkCAJptVp66623CAAtXrxYLu/i4qLXa6VLRi9dukQODg4kCAK5ubnJ63U9jLoEdP78+XpJ46uvvkpERNHR0SQIAu3du1euO2PGDLlsu3bt5OWrV6+Wh3Xq9O7dmwDQpk2bKnQcTp8+TaIoklqtpqSkJBo2bBgBoLlz58pl4uLi5DgLCgr06mdmZsoJcHh4OF2/fl3e/zp16tCKFSv0yrdt21bel2+//ZaIpMRdl1wqlUrauXOn3Klkb29PcXFxevHobN++nQDQc889R2fPniUA9MknnxAR0YkTJ+QYHrVr1y65zuMCAgIIAKlUKtqzZ0+Zx033D4X58+eXWa6iatv3Sv29PXZMSi5Hjy5e0IQHRtdFr/vlM5rly4kA+saCf6iW/IG01NgtNW7GGGPMGEo7D6rVanJ2di6z7p9//kmCIJBarZa/zOuSOR1dsuDh4aFXd/jw4QSAOnbsWKX4n3rqKTnx2L59O9nY2JAgCDRr1iw6d+6cPLx03759cuLTt29fuf6CBQvkHrrbt2+TRqORh3VaW1sTAHr//ffl8suWLSMApNFoaMeOHbR06VJ5OOzly5cpOzubtm7dSlqtlubOnUtnz54lIqKCggJyc3OTEzKNRkO7d++mzZs3EwAa9Ehnz5QpU+T5S27evFmh47Bx40by9/enffv2ybE/mtAnJSXJyWNJvcghISEEgLp27UqHDh2Shzi3atVK3r+ZM2dSbm6unJAJgkBKpZIKCgro1q1bZG9vT4IgkIeHh7xed8wdHBzos88+I1EUKTMzU2/b+fn5BIAaN25MISEhZGtrS927d5fXOzg46MWcn59P3t7e5OjoKPdI66SkpMjbfrRH89KlSzR8+HB64YUX9Mr7+fkRADp37lyFjnN5atv3Sv29XbHCLMnl2LFjCUCZ49cN8s03RABdtOAfqiV/IC01dkuNmzHGGDOG0s6Dj187+bibN2/Kwy7d3NxowoQJlJOTQ8HBwQSA8vLyiIgoIiKixGvagoKC9K45NFSrVq3Izs6OwsPD9ZI+oqLev+bNm8tJjkqlIkEQ6JVXXqHRo0eTKIp0/fp12rhxo5xMzps3j0aMGCEngleuXCEiKfnUJdJ169albt26UUJCAvXs2VMeCqobmqqb2CcrK4tWrVql16s7atQoOWGzsbGRe0Lr16+vN6mPrvfOEADI29ub8vLy6KOPPpL329fXlwBQSEgInT59Wi5vZWVFCoWC8vLyKCgoiJRKJfXs2ZOIpGHGgiBQQECAvP8ODg4EgL7//nuaPXu2vHzKlClywmZrayv39DZr1ozi4+MJAHXp0kUvVl1yqduui4sLLV26lO7cuUMtWrSQ1+n8/PPPBIAGDx5cbL+1Wq3cWyqKItnY2JBGo5F7Ux8dZpyTk0OCIJAoiuVOHFSZ416b6O/t4sVScvnHH8ULmvDAeHl5EQCKj483bsOHDhEBdMSCf6iW/IG01NgtNW7GGGPMGEo7D+q+rw0aNIjWrl1L06ZNoy5dulC3bt0oKSmJjh49Sl27dqWkpCS9eh988AEBkJe7uroSAFq5ciVNnjxZnuxG14v273//W667cOFCevHFFysVf8eOHcnJyYlcXV1p5MiRlJubK69r0KCBnKjpEtmjR4/SO++8Qzdu3KD27dvLCakuGRk5cqScOOlid3Nzo3fffVcup5scZsWKFXrJoCAIFB0dLV8n+PidE2xtbeXhpVqtlhITE+nKlSvytZq6R/369enAgQN6+2ltbU0KhYKaNGlCXbt2pYiIiGLXGj5KF6suBmtra3lipv79+5OTk5NecqYbDiyKorxPTk5O5OTkJC//5ZdfaOTIkXT27Fk5KdZNWKRQKGjJkiW0ceNGeT/OnDlDRESff/65vN+6yXsGDBggD819+eWX5eOqOxZ2dnZy7BqNhuLi4uRY3d3dSaPRUHJycon7fubMGQoKCpJ7TjUaDXXs2JGuXbumV+7HH38kANSoUaMyPmGVU9u+V+rv7dSpUnJ58mTxgiY6MH/99RcBIHd3d+M3fuMGEUCXLPiHaskfSEuN3VLjZowxxoyhtPPgiRMn5ARFl6R06NCh1C/0OsnJyfT5559Tfn4+EZGcINjZ2ZFGo6GUlBQiknocAZCVlRV5e3vLPXmPXotYEX379i11Ho8tW7aQg4MD+fv70+7du4utv337NrVs2ZKcnZ2pbdu2dP78efrggw+oadOm9NNPPxERyT19j/Y6EknDUHXDQt9//30SBIEaN25MRNKtUFxdXUmlUpG9vT21bt2afv7551L3obCwkDZt2kQbN26ktLS0Esu88847eoksAPr0009LbfPkyZPk6elJnp6eNGnSJPnnUZapU6dSr169aNGiRdS0aVO5V69x48bFho2uXLmS3NzcqG7dutS/f395xljd0N/HJ1nSSU1N1UtYdT2eGo2G8vLyaM2aNaRWq0kURVKpVDRo0CC9fxjs2LGDANDTTz9d7v6UZ8iQIQSUfN2moWrb90qBiAg6TZsC584B9+4Bzs54lCAIeLSoMWi1Wnh6euLOnTv49ttv8dZbbxm1fRQUACoVCgEojBz7k2KK4/6kWGrslho3Y4wxZgxlnQfz8/Oxc+dOaLVa9OjRAxqNplJtFxQUQKVSye9/+uknjBw5EgCQmpoKb29vZGVlyevbt2+Pv/76S69OdbBz505s3rwZEydORMOGDZGfnw8HBwfk5+cjJiYGTZs2hUqlgouLC5KSkkwWBxEhOjoaR44cgZubG1588UWo1WqTbc8QXbt2RVRUFPbu3YsOHTqUWIaI8Oabb2LNmjXIzs5GgwYN8Oeff8Lb27vc9ps2bYpz585hy5Yt6NevX5VitbW1RVZWFrZu3Yq+fftWqS2d2va9Uj+5DA4GLl8GcnOLFzTwwOzZswddu3YtcV2XLl2wd+9eNGjQAPHx8ZVuu0Lq1AGlp0PIyQEq+QewOrDkD6Slxm6pcTPGGGPGYOrz4KxZsxAZGYmvvvoKbdu21Vun1Wqxbds2nDt3DmPHjoWLi4vJ4jCmadOm4fPPP8d7772HefPmAQCUSiVcXFxw+/ZtM0dXc2m1WiiVSigUCuTl5UEQBIPb+u233zB06FCo1WpkZmZCqVQaJcba9r1SP7n09QXs7IDY2OIFDTwwI0eOxLRp0xAUFCQvy8/Px7PPPouoqChoNBqcO3cO/v7+hu1BeRo3Bi5eBBITgfr1K1bnzBlg1y4gORmIi5OS7gcPgI4dAVtboEuXJ5aoWvIH0lJjt9S4GWOMMWPg82Dl1a9fH7dv30Z2djYUCgXi4uLQqFEjhIaG4tSpU+YOr8Y6c+YMQkNDYWdnh/T09Cq15eXlhVu3bqF169aIjo42UoS17/epKLksLATUaiA0FDh5sljBzp07Iyoq6knHV2VJANwBDATwRxnlBABfAogA4ACgAEAKABWAewA8AVgBUAAoBPAAwCEAsQB2AjgIINske8AYY4wxxhizRJ06dcLevXvNHcYTI8qvbt0CtFopwSxB586dQdIEQJV65Ofno1GjRsXaCw0NRWpqqkFtVubh/nC89MbIyNLLxcZC6+aGKYIAh3btgG3boCwshBsRnIjQkAi2RFBotcDly1CsXg3nMWPQNzgY79vZYTeALIUCVKcOqEcP0PjxoK++Ah09CsrJqVL806dPN/kxMtXDUmO31Lj5wQ9+8IMf/DDGg8+DlX8IgoCAgAAQEf73v/9BEARoNBpkZ2ebPbaa/mjVqpWcX3h7eyOnkt+9f/vtN7n+008/bfT4OnfubJyszUIU9VwePQqEhwPTpgH//nfxglXs0t2wYQO2bt0Kf39/jB49GvXq1TO4rUoZOxZYuRJYuBCYMKH4+p07gSFDgDp1gO3bpUmNKismRurtXb9eumY1KUkaRqsjioCNDVC3LtC2LTBnToWH6FpyV7qlxm6pcTPGGGPGwOfBynN2dsaDBw/g4uKCu3fvAgBWrVqFV1991byB1QJE0j9E7t27hzlz5sDe3r5C9QoKCjBp0iQsWrQIRAQPDw/cuHEDoiiWX7kSatvvU1Fy+e23UvJlouTSbJ57Dti8GRg2DFizpvj6Z56Rrqn84QegChcBF5OWBuzfD0RHS4l7QgJw7RqQlSVt5/Bh4Omny23GYo87LDd2S42bMcYYMwY+D1ZedHQ0nn32WWRkZEClUmHJkiUYM2aMucNiZejYsSP2798PAPD19cX58+dhbW1t9O3Utt+nommQdBfBNmhgplBMpEcPKbksrafwwAHTbLdOHaBvX+nxqKgooHNnoH9/qYeTMcYYY4xZtDZt2iA9PR1EVKUZS9mTM2jQINy/fx9dunTBN998Y+5waoyift9796TnsDAzhWIitrbS8/HjRcvu3gUyMqrU7IoVK2BjY1P52aQ6dQJcXYHU1CptnzHGGGOMVS+cWFqOCRMm4MyZM5xYGllRcnn0qPTs7GymUExEoZCeb94sWjZiBLBokcFNRkZG4rXXXkN2djZsbGwq34C1NZCfb/D2GWOMMcYYY6y6KUouBUGaeOZJTbTzpOgm6PH2Llp25w7g5mZQc//5z3/Qv39/EBEUCgVCQ0Mr34hCAdSisdeMMcYYY4yxmq8oubx8WUowa1p3vu7WKo/euzMhAejWrVLNHD16FAEBAZg8eTJEUYRSqYSPj49hMVVwFitm+VatWlVt7m20fv169OrVC61bt0ZkZKS5w2GMMcYYYzWM/jWXNS2xBIqG+eqGx6alSbcFqUBieObMGQwYMACOjo4IDw9HfHw8GjZsiAsXLqCgoAC+vr6GxWRrK/VcFhYaVp9ZhFGjRmHMmDHo2bMn0nUTZgE4ePAgli1b9sTiWLFiBezs7DB48GDs2LEDR44cQf/+/fkaA8YYY4wxZlRFyeW77wKzZpkxFBNxdJSedcllVBRgZVWhqjExMThw4ACsra3Rvn17/P333/jnn3+Qm5sLAAgMDDQsJt32c3IMq8+qvdu3b+Onn36CtbU18vLyMHfuXADAJ598gvbt2yMiIkLvpr+mUFBQgKeeegrjxo1DZmYmvLy8MHHiRERERICIsGDBApNunzHGGGOM1S4C5ecTlMryC1ryPVp015MWFkr3s4yJARYvNri51atX49VXX8W3336Lt956q/INjBkDrFol9aKWM0TWko+7pcZujLiHDBmCdevWyZ+V5s2bIyoqCk5OTrC1tYWtrS2SkpJw5swZNGvWrNR2fvjhB+zbtw/37t2DUqmEq6srWrRogeeeew4NyrhtkFarhY+PD27cuAF7e3usW7cOPXv2lNeLogi1Wo0c/gcHY4yxx1jq+Zux6qi2/T6JOHjQ3DGYXA4gJZcAsHs34OFRpfYOPLw3ZufOnQ1rIDFRes7OrlIcrPratm0b7O3t8corr8DBwQGXLl3C7NmzodVqsWTJEqxatQoA5B7NkmRkZGDChAlYs2YNduzYgcjISKxevRqTJk2Cv78/hgwZUmrdN998Ezdu3EDDhg1x9+5dvcRy165dICK4GTipFWOMMcYYYyVR4vJloGNHc8dhUrkArAoKgIICaTKf/v2r1N6JEycgCAKa6mairaxWrYA//yxKeFmN8uuvvyIzMxMTJkwAADRs2BDHjx/Hpk2bYG1tjeHDhwMAlEplmfdJtbOzQ1paGpKSknD06FGcP38eFy9eRHx8PI4fP462bduWWjclJQV169bFP//8U2zdlClTAECOgzHGGGOMMWMQ6F//oooMEbXkLt1cQYAGAFJSgObNpesuyxhSWB5nZ2dotVqkpqYa1kDfvsC2bUB8fLlxWPJxt9TYqxr3U089hVOnTuHBgwewtbXFa6+9huXLl0OtVqNRo0Y4ffo0AMDd3R05OTl48OCBsUKX5eTkIDU1FR6P9dKvWrUKY8aMgVqtRlZWFhS6a5EZY4yxhyz1/M1YdVTbfp9EHDpk7hhM7qruxd27wO3bFZoptjR5eXlITU1FQECA4QHpejxVKsPbYNWSVqvFqVOnMGzYMNja2gIAWrZsCUD67HTo0EEu6+bmhqysLJPEYWVlVSyxXLp0KcaNGwcA+O6774ollrdv30ZBQYFJ4mGMMcYYYzWfiIwMc8dgcnV0L44fl25NUoXemsjISBARevXqZXhAumNugh4rZl6CIOCtt97CvHnz5GWhoaHy69atW8uvXWafICYAACAASURBVF1dUVBQYPKELjs7G7169cLrr78OrVaLcePG4bXXXpPXHzhwAPb29vDw8ECdOnU4wWSMMcYYYwYRER8P5OWZOw6Tyte9SEwEnnqqSm3997//BQC89NJLOHjwIMaOHYumTZvC29sbrq6u8PT0xGuvvVb2F3TdtZb8Jb7GEQQBCxYs0Os1fDS5fPQ6SfuHMwXfvXu3wu1rtVokJCQgOTm5QuWXLl0KJycn7NixA0qlEitXrix2j81Ro0Yh4+E/PLKzsxEbG1vheBhjjDHGGNNRggi4ehUw9J6NFuAygPoAcO4c4O5e4XrHjh1Dx44dkZOTg8DAQISEhGDbtm0QBAFhYWEoLCwssd7y5cuRkpKCDRs2lNywLgYeFlsr2NvbQxAEANLkPo8uB4DExER4enoWq7dhwwasWrUKKSkpOH/+PNLT0+XPnCiKOHPmDIKDg0vd7rhx47BixQoAQNOmTfH333/DwcGhWLl27dohISEBWq0Wzs7OaN68ueE7yxhjjDHGai0lBAHYvr1GJ5d+uhfHjgHt2lW43sWLF5GTkwMiQlxcHOLi4uR1jo6OsLOzQ+PGjREQEICAgAC4uLhg4cKFOHnyZNk9SwkJ0vOdO0AZyQGrOQIDA1GnTh05yQQgJ5Svvvoqzp8/X6xOdHQ0IiMj5fcKhQLe3t7o3r07pk+fXuZ9LgFg5cqVAICxY8di+fLleuuICOvXr8dHH32ES5cuAZCu04yJiTFsBxljjDHGWK0nkLc34d13gUmTyi5owTMdbRYEDACAli2ByZOBESMqXPfWrVv4/vvvMWvWLCiVSuTl5WHPnj3o0qVLieU9PT2RkpKCq1evFptQRbZoEfDWW8Dhw0B4eJnbt+TjbqmxP6m4r127Bj8/P/Tr1w+bNm0qsczx48eRkZGBxo0bw70Sve4A0KBBAyQ8/EeGSqWCi4sLVCoVsrKykJqaqtfz3qxZMxw6dAh2dnYG7w9jjLGawVLP34xVR7Xt90mgevUI3t5AGffbAyz7wOwSBDwLSJP5/Por0L17pdvo1q0b9uzZA1tbW/n6tJIkJibC3d0dGo2m9MYmTwb+8x/g55+Bcu41aMnH3VJjt9S4H1dYWIjevXtjz549JQ7hVqlUCA0NxeLFi/H000+bIULGGGPVUU05DzJWHdS23yclwsOl+z/WYPKPMz0dcHQ0qI2ZM2eiS5cumDt3bpnlfCpymxPdBC916xoUC2MVoVAosHPnTgDSENv9+/cjNTUVnp6e6Nq1a5nXazLGGGOMMVZZSlhbAzX8OqvTAHoA0uysBl5b2rZtW+Tk5BgnoMRE6fniReDZZ43TJmNlaNOmDdq0aWPuMBhjjDHGWA0mIigIyMwEanB3bSPdC0EASpgt84nT9RhVpJeTMcYYY4wxxiyAEo0bA/n5QFISUMLtEHQ6deqkN9OlJZkBoD+AXK0WVtVgH6YAmAvgg+eeQ9mDbCWWetwBy43dUuNmjDHGjIHPg4wZR6dOncwdwhMlwtZWevXIbTZK0rlzZxCRRT66dugAANA4OJg9FiLC3C1bAABfbthQbtnp06ebPV5DH5Yau6XGzQ9+8IMf/OCHMR6Weh48cuQIFAoFFixYYPZY+MEP3aNz586mzOWqHYFu3JBmi/39d2DgwNILWvBMR18KAj4AAFtboIyZXp+YhQuBiROBadOAf/+7zKKWfNwtNXZLjZsxxhgzBks8D2q1WoSFhQEATp06ZeZoGCtiib9PVSHC3V26FvFhb1pNJN+eXtdLa27NmknPDRuaNw7GGGOMsRpg9uzZOHPmDLbU4O+zjFkCEQqFdHuOSt6g3ZIE6F7k55szjCK6W7+cOGHeOBhjjDHGLNz169cxf/58fPTRRxW7JRxjzGREAICdHXD2rJlDMZ2LuhcKhTnDKKL7w1eDE3rGGGOMsSdh5MiRyMjIwIcffmjuUBir9ZTyq6tXzRiGacmjnKtLcmllJT2XM4kSY4wxxhgrXUxMDPbv34+FCxfCtrpc/sRYLSb1XLZuLfVe1lCOuheFhVVua+PGjejbty/GjBmDe/fuGdaIs7PR4mGMMcYYq06uXr2K8ePHY8CAAdi0aZPJtkNE6NevH7y8vPCvf/3LZNthjFWc1HOZkQHExpo5FNOJ173QaAxu4/79+2jWrBlu3rwpL1u9ejW2bNmCPn36VK4xNzfpOS3N4HgYY4wxxqqbtm3bIjo6Wn6/ZcsWtG3bFgcPHjT6tn7//XfcuHEDc+bMgVKpLL8CY8zkpJ5Lb28gJ8fMoZiOfGl3VpZB9XNyclC/fn3cvHkTLVu2xOnTp/HVV18BAF544QUUFBRUrkGNBhBF4NIlg+JhjDHGGKtuhgwZgujoaAQFBeH8+fO4dOkSvLy8cOjQIcyaNcuo2yooKMBHH32E8PBwvP/++xWuFxMTo5f8MsaMS0oumzcH8vIMTr6qu1u6FwYO/e3RowcyMzPx3nvv4fjx4wgJCcG7776LDz/8ELm5ufh3OfeqLJGnZ5V6UhljjDHGqouoqCisX78eb775Ji5evIjGjRsjICAA8fHxUCgUmDdvnlG39/bbbyMuLg6fffYZBEGoUJ27d+8iPDwc3bt3N2osjLEiUnKp67WMjy+jqOWSb0CSkWFQ/RMnTqBTp07F/jB+9tlnUCgUWLNmTeUbzcwEzp8vvxxjjDHGWDWXkZGB5s2b47vvvtNbrtFoEBgYiLQqXApERFi+fDnatGkDFxcXWFlZ4YcffoBKpYK9vX2F22jRogXy8/Oh1WoNjoUxVjYpufTzk95lZpovEhNy0b0wcAKd33//HRs3biy2XBRF2NnZ4e7du2XWX7FiBfz8/DB8+PCihe3aGRQLY4wxxlh107dvX5w8ebLEdfb29gYndN988w2sra3x2muv4fDhw0hJSUFubi6ICPn5+RWaMIiI0Lp1a3neDF9fX4NiYYyVT0ouGzSQ3qWmmjEU07mse2HgrUh69OgBJyenEtfl5OTAWTf7ayn69OmD27dvY+3atcjSDT1OSZGGIScnGxQTY4wxxpgluHDhAtRqdaXrJSYmYtKkSSAihISEYM6cOdi/fz9UKhXq1auHNWvW4Msvvyyzjdu3b8Pf3x9Hjx6F38POlNatWxuyG4yxCpCm1tLdF+jYMaBnTzOGYxp1dC+MfE3pjBkzkJubi3feeafUMnl5eejQoQNycnLQoEED2NjYSCu6dweio4EbNwBXV6PGxRhjjDFWHQwYMADp6ekYNGhQpet6eHhg8eLFePnll2FtbQ0AiIiIQGFhITZv3oywsLAS623duhUnTpzAlStX8L///Q9arRbvvPMOEhISkJCQgP79+1dpnxhjpZOSy7p1pXe5uWYMxXQMvBtlmXbt2oUvvvgC9erVw6RJk0os888//6B9+/a4e/curKyscOTIkaKVup7QLVukCZUYY4wxxmqI+Ph49O7dG3FxcQgICMBvv/1W6TbUajUiIiLk91euXMGyZcvg5+cHR0fHUutZW1tj7ty5qFOnDnr16oXvv/8e9evXh7OzM0RRxPPPP2/QPjHGyicNi3VxAZRKoIKzbVkaeRqfyt4ypBQrV65E7969YWNjg9OnT5dYZubMmWjWrBnu3r0Lf39/JCYmwvXRHsouXaTnGnwLGMYYY4zVLllZWRgyZAiCgoLwzz//oE+fPoiLi6vwjK6l2bFjB1q0aAEASEhIKPO+md26dUNGRgZu3ryJLVu2oH79+rhw4QLu378PHx8fKAy8TIoxVj4puRQEwNoaiI01czimIY/yLywEiAxuJzk5GR06dMDYsWNRr149nD9/vti1mOfOnUNgYCA+/fRT5OXl4cMPP8SlS5dQV9c7rBMSIh33desMjocxxhhjrLqYOnUqHB0dsW7dOtjb2yMyMhKRkZEQRbFY2T179uDMmTNltpeUlIQpU6bA1dUVvXr1QlpaGlQqFXbs2IERI0ZUKrZ3330XAPDSSy9Vqh5jrHIEoofZlr09EBAAxMSUXFAQQFVIzMypviDgmu7NnTtFw4AriIjwxRdf4PPPP0d+fj7Gjh2LJUuW6P3nKzk5GS+//DL27NmDvLw8BAYG4vfff0ezZs1Kb9jHB1CrgUuXSi1iycfdUmO31LgZY4wxYzDkPOjp6YmkpCSIoogxY8Zg6dKler2VV65cwdy5c7Fjxw4kJiaisLAQw4cPx88//wxA+q7VsmVLZGZmorCwEMnJyUhPT5fjUKvV0Gq1OHv2LBo1alSp2PLy8mBvb4+CggLk5ORApVJVqj5jVVHbvlcq5VfBwUAZ49ctmZwCCgJw7hzQqVOF6+7cuROjR4/GzZs34e3tjZ07dyI4OFhef/bsWXz22WeIjIxEVlYW7O3tMX/+fIwfP77E/9TpsbUFLl6UelR5iAZjjDHGLFBycjKSkpIASNc7/vXXX2jVqhXu3LmDvLw83L9/H/n58l3HoVKp0KdPHyxfvlxeJggCAgICsGHDBvm9g4MDOnXqBDc3NyxbtgxTp06tdGIJAOPGjUNeXh569+7NiSVjJlbUc9mjB3D/PnD0aMkFLTjr9hAEJAGAKAJr1gBDh5Zbh4gwcOBAbN68GYIgYNKkSZg3bx4EQUBmZia+/vprHDhwALt27QIRwdXVFcOGDcO0adP0r60sy9tvA999B1y+DPj7l1jEko+7pcZuqXEzxhhjxmDIeXDYsGHYtGkTsrOzi7Wl0WhgZ2eHwMBATJkyBQMHDiy1nTt37iArKws+Pj4QRRG5ublo2LAhUlJSkJiYCBcXl1LrliQqKgpdunSBKIq4desWtFotjh07hgMHDuDPP//EpUuXkJ2djW7dumHr1q2Vapuxiqht3yuLei4TE4GrV80YiunI0/iIYoWvKw0PD8exY8fg4OCAzZs3Izc3F+PGjcOhQ4dw+fJl5OXlAQDCwsLQpk0bzJ8/X54mu8J0fyA3bQJKmXGWMcYYY6y6W7t2LQAgPz8fycnJEEURgiDAzc2tUu08Xn7UqFG4fv06Fi1aVOnEct68efjggw9ARKhTpw4aNmyItLS0YuWUSiW6detWqbYZYyUrSi7DwoCHQxpqGnnAqVZb4Ql9Tp06BQB48OABOj02jDYsLAx+fn548803q/bHqGtX4N//Nrw+Y4wxxlg1olKp4OnpaZS24uLi8Mcff8Dd3V3vliTl6d+/PyIjI/V6i+7fvw+FQgFHR0d4e3vD0dERXl5eGDx4MAYNGlTl2WwZY5Ki5LJ+fSAry4yhmE6h7oVKBZQxdfWjvvzyS2zatAmXL19G3bp1ERgYiEGDBqF58+YICgoyTmCNG0vPmzdzzyVjjDHG2CNGjRqF3NxczJkzB0qlsvwKkG6FohveKggCOnTogJ49e2Lo0KFo0KBB+fNhMMaqpOg3VRCA/HwpwbSxMWNIxqfRvSgsLBqKWo5JkyZhkqkTPjc3KeGt4B9MxhhjjLHa4M8//0R0dDT8/Pzw6quvVriejY0NTp48CS8vr0oPyWWMVV1RVnP/vvR8+zbQoEGxgr6+vhY7ZEA3vU5WQQFi161DeDXaj2QA93fvRmAZMVnqcQcsN3ZLjZsxxhgzhupyHkxISKg2sTBmCF9fX3OH8EQVJZfh4cCyZVLvXgmuXr1qsTMduT/8o2RjZYWn3d1BCQnmDehRHh5wyckBpaaWuNqSZ5iy1NgtNW7GGGPMGKrDefCVV15BYWGhfB9MxixVbfvnSFFyaWcnPWdmmikU09G7g2R1+wG3agUcOGDuKBhjjDHGqo0ff/zR3CEwxgxQdFXzw1tr4No1M4ViOvJte21sivazurh2DXjwQLrelTHGGGOMMcYsVFFyqVJJz+npZgrFdFS6F+np1a9ntn176Vl3zStjjDHGGGOMWaCiYbE+PtKzra2ZQjGdXN0LBwcgI8OcoRSneDho98YNafZYxhhjjDFWozx48AALFy4EEWHKlCmwqWF3ZmBMpyi5tLaWnrOzzRSK6cjds+npgFZrzlCK092GhHsuGWOMMcZqnKioKPTq1Qs5OTkAgO+++w5JSUlQKBTl1GTM8hQllwUF0vPp08DQoWYKxzQKdC/UaqP0XObn5+PIkSM4ePAgrl+/jpSUFNy6dQvJycm4desWfHx8sG/fPljrEvayNG0qPfO9LhljjDHGapQbN26gX79+ICL8+OOPiI+Px4wZMzB58mQsXLjQ3OExZnRFGY29vfRckYTIwsh9lSoVQCRdd1nJ4b+pqal47bXXsGnTJhQUFJQ5RfedO3dw8eJFtGjRovyGdbdFiYkBOnasVEyMMcYYY7VNTk4OrKyszB1GhcyaNQsZGRn45ZdfMPRh583SpUuxfv16Ti6ruaioKAwbNgw///wzunTpYu5wLEZRcqlLthwczBTKE5CVJd2K5MYNICiowtViYmLw1FNPQftwSK1KpYKLiws8PT3h7u4Oe3t7WFlZQa1WQ6FQYPTo0RVLLAFAV87bu7J7wxhjjDFWq+zcuRN9+vRBQUFB+YXNLCsrC4sXL0bTpk3lxBIAQkND8ddff5kxMlYRnTp1gouLC3r06IG9e/eivW4STlamouRSN1tsDbwlhnwVqa2tdCuSSg6NXbhwIbRaLQRBwIcffogvvvjCeMHpekBr4C1gGGOMMcaM6fjx4ygsLMSdO3fgVs0nQty9ezeICBMnTtRbrlKpSqnxZAwZMgQ2Njb473//a9Y4qpsPP/wQjRs3xqhRo+Rlx44dg6enJ7p37447d+7AXjfSk5VKLLbk2DEzhGFa8v+2UlOl50om0FevXgUArFixwriJJVA0wdCDB8ZtlzHGGGOsBrl37x4uXrwIABUeFpueno6zZ8+aMqxSzZo1CwAwaNAgveXnz583a5ISGhqK9evXm2371VFYWBjmzJmD0aNH6136ptFosHnzZuTm5qJ3795mjNByFCWXumGxHh5mCsV0CJAmzFGrpQW65wpYuHAh/vrrL/Tt2xejR482fnCenvrPjDHGGGPV3NGjR/HOO+8gOTm52LqYmBijby86Ohqenp64desWRFGscHI2cOBALFq0yGhxxMbGIjw8HM8//zwelNMxoFAo4OHhAUdHR3nZlStXcPnyZXQ0wTwbRITZs2fjq6++wrUyRsR98sknuP+E71IwYMAABAQEPNFtVtQLL7wgf2YjIiIgCILe+meeeQa9e/fGoUOHcPjwYXOEaFGKkktdF72dnZlCMTGtFng4BXRFZ2Y9ePAg3n33XXh6emLz5s2mievGDem5BvYYM8YYY6zmeemllxAeHo5vvvkGM2fO1Fs3fPhwhIWFYcqUKUbdpu3DTpCdO3dCq9XC1dUV7733XrnXXj7zzDO4fPmy0eIYMGAATp48iS1btqB169Zllj1+/Dg0Go3esueffx6iKMq9msYUFRWFjz76CFOmTIGPjw+2b99eatknPTTX398f8fHx8vwlOteuXUNwcDD69OlT5mSZphAfH48WLVpg48aNAIBly5ZhyZIlJZadPXs2tFotT8JUAUXJpa43Ly/PTKGYWJ060vWNggDk5pZb/O7du+jcuTO0Wi1yc3NhY2MDlUoFa2trhIaGIjo6uvIxrFsHKBSARiP1ED/7LPDTT9I67rlkjDHGWDVWUFCA5s2b49dff4VCoUDXrl3xn//8R16/f/9+/PLLLwCAI0eOAJCuO2zTpk2VE4eQkBAkJCSgUaNGUKlU6Ny5M1xcXJD98P7smZmZ+Pjjj/HOO+/o1ZsxY4ZejFURFxeH+Ph4RERE4LvvvsPFixdx7ty5UssrlUp4PvL97u2338bp06cRERGBRo0aGSWmR3Xu3BmNGjWSe952795dqfp3797FwYMHK1S2R48ecHZ2xoYNG+Rlp06dwtixY0ssv2DBAnTs2BGpukvUHurVqxfOnz+P7du3o3PnzpWK11BarRajR49GYGAgTp8+DQAYO3Ysxo0bV2qd0NBQtG3bFuvWrUOGEW5rWKPRowSBqFs3KsnjRS0JACIbGyKASKkk+vvvcuuEhoYSpBG1ZGNjQ40aNaLmzZuTq6srCYJAAOj999+vXCDZ2URjxhC5uxNZWRGJohST7uHqShQURDRvHtG2bURareUfdwtkqXEzxhhjxlDaeTA8PJwEQaBFixZRQUGB3jqtVkuurq4kiiIBoIEDBxIR0fPPP08AqLCwUC47ZswYmjFjhkGxBQYGkpOTk/z+5s2b1KFDB1IqlfL3tlu3bpVa/969e/Trr7+SVqut9LZ//PFHAkC///47vfXWWwSArl69Sunp6TR+/HiKiorSK69QKKhevXpERDRt2jQCQC1atCAiosLCQoqIiKCIiAi6d+9epWMpTePGjeXvqbGxsURElJubS2FhYdSnT59S6+3cuZPUajUFBASUu438/HwSBIEUCgUJgkDnzp2Ttw2Azp8/X+F4fXx8qGHDhqTRaEgQhArXM9T58+epbt26JAgC+fj4UIMGDUgURUpKSiq37ty5cwkA/fHHH5XaZm37Xqm/twoF0bBhJRe04AMDgMjXtyi5/OuvcuusX7+exo4dS3FxccXWnTt3jtRqNQGgu3fvGh5YdraUSAJEgYFE3t5Sgq9LNp2d6RhAtGULUVaW4dsxE0v9zFhq3IwxxpgxlHQe/Ne//kUAaPbs2SXW0a3v2bMnAaBJkyZRbm4uhYeHEwBKS0uTyyqVSvLw8DAotpCQEAoMDJTf69qvV68eeXh4lPndLC0tjVQqFQGgOnXq0P379+V12dnZ5ObmRt98802p2165ciUBoM6dOxMAatiwIRERdenSRU5sH03gnJycSK1Wy4low4YNKTMzk4iIhgwZIieBSqWSYmJiDDoej+5b/fr1CQAJgkD29vbyujfeeIMAkFqtLrHu2rVrCQCpVCo6evRouduaPXs2AaCFCxcSAPkfBT4+PgSAVqxYIZf9+eefqWfPnqW2tXr1agoKCpITU12Sp9VqacmSJTRnzhz5mBnDvn37qG/fvnTkyBEqKCjQ+wdAedLT00kURQoNDa3UNmvb90r9vbWyInrjjZILWvCBAUDk7y8lbGo10d69VW5z6tSper9QBtu3T4pr/nzpfWoq0fLlRP37Ezk6FiWaajVR9+5Ea9cSPfLfvwr5v/8jysioWpwGsNTPjKXGzRhjjBnD4+fB69evkyiK1LJlyxLLx8bGkiiK5OvrS6+88goBIFdXV0pPT6eGDRsSALp9+zYREUVFRREAatq0qUGxeXl5UZMmTeT3L730EgmCQPn5+WRnZ0dKpVKv/KlTp+jEiRNERPTll1/KI88AUFBQkFxu0qRJBEBOerVaLbm5udGYMWPkMhs3bpSTyHr16lHWw3/8v/TSS9S2bVtycnIiADRlyhQiImrTpo1cvkmTJpTxyHexgQMH0ueff06ffvopASAvLy+DjgcR0cmTJ+VOj5CQEAJAAwYMkNfrRuO5uroWq5uXlyf3QEZFRZFWq6WXX36Z6tatS/Pnz6fVq1dTXl6eXD47O5s0Gg2pVCrq1q0bCYJAZ86codzcXNJoNASAfH19iYjk5PPxz9PWrVvlY0dEdOXKFWrQoAEBkJcPGzZMriuKonxMjWnr1q0EgEaOHFnhOo0aNSJPT89Kbae2fa/U31s7O6KIiJILWvCBAUAUEiIlaaJIVMX/DhERzZo1S+8PiMF++02K6/XXS1wdChD160fk4VGUaGo0RC+8QLRyZfk9mikp0j77+RE9NoTF1Cz1M2OpcTPGGGPG8Ph5sF+/fgSArly5UmJ53SVDzs7OckLw22+/yet0ScOJEydo6NChBIDee+89g2Jzc3OTh5YSST1fAOiff/4hQRDkxIaIqKCggFQqFdna2hKR1DHg4OBARERPPfUUiaIol23btq1e797mzZsJgDwE99SpU1SnTh29Hksioj179tCtW7dozZo1cuKl0WiIiOiTTz6Rj4e9vT2NGDGCvv76a5o0aRI9ePBAHirs5+dHACg7O7vSx0Or1ZKPjw8JgkBz5syRk+RRo0YRUVHSDICsra2LDQf+9ttvCQCNHTuWiIgGDx5MAMjT01OuJwgCjRkzhjIyMuRYdf9ECAwMpPT0dPL29iYA5OzsTIIg0NixY+X6VlZW8vauXLlCgiDQjRs35GUpKSkkiqL8c7p06RJ5eHiQra0tvfzyy/JQ6yVLllT6+JRlxIgRBIA2bdpU4TqdOnUq1hNfntr2vVJ/bzUaoi5dSi5owQcGAFHfvkXJmRGGmLZo0YIA0MmTJ6vWUHS0FNOiRSWu1jvua9YQjRwpDV9+tEfTx4do2jSinTuJSrqG4JlnpLLe3kTXr1ct3kqw1M+MpcbNGGOMGcPj50E3Nzf5i//jdCO5VCoVubm5yUnGhQsXiIjkHrWJEyfS+PHj5aGTf1dg/ouS2NraUnBwsPx+1KhRJAgC7dq1iwBQt0fmDtENtdQljIcPH6aQkBAiIurVq5feNX665FKXTF68eJEA6CWjdnZ2JIoide3alYikHl0ANG3aNCKSenCtrKxIoVAQEVFkZCSNHz+ePv30UwoMDCRvb2/y9PQkpVJJycnJFBMTQ2FhYQSANBpNsetYdY4cOUIDBw6kxo0bk52dHTk4OJCvr6/cIzt9+nQ6c+YMERFdu3aNBEEgQRDk61BFUZSHDDs7O+sN6/zmm2/kJHHt2rVkZWVF9vb21K1bNwoLC6PVq1dT3bp1CQA1a9aMRFGk+fPnkyiKZGNjQz179pS3M3jwYL0hwu7u7iSKot4Q3f/9738EgC5fvkxEUk+ou7u73pBrLy8vUqvVcgJ66dIlUigUeu0YIisri3755Rf66quv6MMPPyRbW1sSBIHCw8OpWbNm5O/vTz169CjzmtEpU6YQADp9+nSFt1vbvlcWTy6feabkghZ8YAAQhYcX9fpV0enTp0kQBL0Lyg22dasU12uvlbi6xOOeny9dh9m6NZGzs/6kQCoVUUAA0fDhRPv3S+ULC4kaNChKRp/QIceb1wAAIABJREFUEFlL/cxYatyMMcaYMTx+HtQlCadPn6br16/TkiVLKCEhgeLi4kgURb2evFatWtGj1z2KoignOvfu3SNra2sCQLm5uQbFZmNjIyeXSUlJZGVlRc2aNZN7MLt27Uo3b96Uk1g7Ozs5cdu+fTsdO3aMjh8/Lg/j1dFdrxjxcATfCy+8QLprM3Xbys7OJgcHB6pfvz7l5eVRVlaWnDwrFAo5qRo/fnyp8b/33ntyOd1DoVCUOUmMh4cHiaIoD0e1s7MjX19fOnbsWInlly1bRk5OTmRtbU1+fn4UGxtLeXl5NHjwYPL19aWVK1fKZQsLC6lVq1by9Z+6/bC2tiZHR0e9BPX777+n2NhYeUIfXfxqtZoWLFhAsbGx8rLOnTtTQUEB+fv7kyiK9NxzzxERUXR0NAGgRo0a0bBhw+ShtD169JBjsre3J1EUqV+/fjR8+HC5F9Xd3b2cT0fpVq1apRdzSQ9BEKhVq1Z06dKlUtuZMGECAaB9+/ZVeNu17Xul/t66uEg9YyUVtOADA4Bo4kQpuXr4R6Kidu/eTcnJyfL7lJQUeViEbshHlRw+LMU1fXqJqyt03I8fJ3r7baKmTfV7NQHpfUgIUWws0YAB0rJHrlUwJUv9zFhq3IwxxpgxPH4eXL58ud6XcB8fH0pLS6Pg4GCysrKimzdvymVff/11UqlU8ntdcjLs4YSRuveZmZmUkZFBw4YNo//7v/+rcGxqtZrc3d1p+vTpZG9vTyqVii5cuEAPHjyQh08+2nOWmZkpjzJr0KCBnCirVCqKj48nIqKhQ4fKiUdgYCB99NFHBEh3C5g6dSrduXOHiKQeNBsbG70hmnFxcdSlSxeqV68e1atXjzZu3FjuPkyePJkaN25M3t7eNH78eMrJySmz/KPXPJqKVqul/Px8SkxMlIc5C4JA1tbW1KVLl2KzqR49epTmzJlD27Ztk5c5OjoSAOrYsaO87MqVK9S+fXu9co/2boqiSO+8845e2z/88INesg6AbG1t5d5wQ1y7do2Cg4OLJZgtWrSgmJgYevDgQYXaee655wiAPENuRdS275WPj3uQerxKKmjBBwZ4eN0iQFS/fqXq/vLLL+Tj40NHjhyhefPmkZWVlTzW3ChOnZLi+uCDEldX+rgXFhL9/rvUA61S6SeaX38tXVcLED28sN6ULPUzY6lxM8YYY8ZQ0nkwLi6OZsyYISeC27dvJ6VSWez2G8nJyXTw4EH5/d69e+nrr7+m/Px8IiqaUdTW1pYUCgWJoljmrUMeZ21tTUqlkgRBoLp16+oNr129ejV5enqSj48Pvf3228Xq6oZC+vj4yMlBYWEheXl50dy5c+Xhmbqk5/Dhw0RElJOTQ71795Zvv1GVnteabMCAARWeHOfs2bMUGRlZ6lDg5ORkmjNnDn3xxRdVvwTtEfn5+fTTTz/RhAkT6Ouvv650fXd3d1IoFJW6lU1t+14pED1yV1tXV6B9e2DTJjxOEIQq3wDXXARBAH3+OfDpp0BAAHDpUoXrarVaeHl54fbt2wAAURTx1ltvYeHChcYJ7vBhoE0bYMgQ4NdfS469Ksf9zz+BQYOAzEzped06oKAASEkBnJyqEHj5LPUzY6lxM8YYY8ZQkfPg1atXkZiYiA4dOlSq7Vu3bqFRo0ZIT0+HIAhYsGABJkyYUOH6Q4YMwd69e3H27Fm4ublVatvlycnJwYgRI5CVlYVFixbB398fN2/eRHBwMB48eIBOnTrByckJf/zxBxISEuDr62vU7bPqbcOGDRg0aBCee+45/PHHHxWuV9u+Vyr13qWlAbGxZgrFxAoKpGcrq0pVE0URN27cwI8//oi8vDwMHz4c9vb2xourbl3pOTjYeG3qzJ8PfPUVoFYDOTnA2rWAUgmMH2/yxJIxxhhjNZevr69ByZWnpyfS0tJw7do1eHt7QxTFStX/7bffKr3NirKyssKGDRvk97m5uWjSpAnS09Mxf/58TJ48Gc8++ywAQKPRmCwOVv0cPnwYw4YNQ4sWLbB+/Xpzh1Ot6fdcengA7doBv/9erKCfnx+uXr36JGMzqnEAlgE4DaC5mWN5VBCAiwC2AuhvYBv1ATwPoAmAEADhANTl1MkBkA4gAcBlAL88jKHQwBgYY4wxxhhj+nx9fZGQkGDuMJ4Y/eTSywt45hmghP8KWXKXriAIoMhIoG9foFkz4MwZc4dU5M4dwN0dGDkS+OmnYquLHfcLF4Bz54AffwTu3gWOHwdyc4vWiyKg1Ra9d3EB3NykYbexsVKP5ZkzQHa2NDw4K0u6IlNX18MDeOUVYOJEKa4qsNTPjKXGzRhjjBkDnwclarUadnZ2SElJASD1mg4dOhT+/v64fPmymaNjT8off/yBgIAAhISEGFS/tv0+KcsvUkPohsWmpZk3jsfVqaP/fuVKYMUKQKEA7O2xEwBCQqRrJm/cAPLyisqqVICvrzSktlcvoFEj6ZrZBw8Aa2ugIsN309OByEhg8WLgyBHg5k1gzhzpoVYDY8cC339vzD1mjDHGGKv2CgoK4OLiAgDYtm0bhg8fDkEQ8GsJc2Swmuv55583dwgWRb/n0toaCAoCTp0qXtCCs25BEEDbtgF9+gANGwL//GPukPSJIhAYCFy8CDg6Ssnh4+zspEQ0PBx46imgXz+pF1Zp5P8PXL4MfPwxsGOHFAcRMHs2MHVqpZuy1M+MpcbNGGOMGQOfByWurq64d+8eNBoNcnNzIQgCZs6ciY8++sjcoTELUtt+n/SvolYoivek1RQ5OdLzzZvmjaMkdepIPZAAcPQoMHgw8PBC8WWANIQ1PV3qudy4EfjkE6BFC+MnloA0m+4vvwD37wMHDkjLVq40/nYYY4wxxqqxixcvIiwsDGq1GvXr18euXbs4sWSsHPrZiZUVUK+emUIxMd2sXgqFeeMoiUJRdHuUwEDpmlciYNIkbFi4EK9VcoZbo2nXTuoxjY+XruOs5IxujDHGGGOWysXFBSdOnDB3GIxZFP1sobCweiZfxnDlivSckVE0gU11oVAUvxZUEIAFC7DDPBEV6dhR+lwsXWruSFglHDp0CD4+PoiMjDR3KIwxxhhjrJbQTy5zc6XZQ2siQZCSOCIpwaxOmjV7okm9j48Phg4dWrHCX3whPc+fb7qAmFHl5eWhffv2uHbt2v+3d+fhUVZnH8e/M5nshCSQhIQtrAbZkU1BFAEF6WtF9BVFrL5YxYIKSi1u1QquLVpELK2tCxaUpVoVFcEKahWQRUVkkTWsYUtC9n3m/eNkMoQkZJLMZDLh97kurvNk5nnOc8+EMNw559yHjz76yNfhiIiIiMh5omJy2dCK3XhKTo5rxPLgQd/GcrbDh822IvUworpp0yYOHTrEp59+6t4FvXu7psY2tBHfBuzUqVPEx8czYMCAco/n5+ezfv16r967f//+ZQvH582b59V7iYiIiIg4lU8urVa4+GIfheJlR4823Cm/AweaxO30aa/f6vbbbwdMeW239e5t1lw6C/xItXr06MHx48fZuHEjP//8MwCHDh0iIiKCSy65hAULFnjlvhMnTuTHH38EYODAgQQ01L/zIiIiItLouJJLh8PsBeksfNPYtG7tKkjT0EZno6NNu2+fV2/z/vvvs23bNpo0aUK+s3quO7p0Me1//uOdwBqZl19+mWPHjhEVFQXAsmXLALj22mvLkvpZs2aVu6a4uLhmCX8lnn76ad544w0sFgugfZlEREREpH65ksvCQtMGBfkoFC87dMh17Kvqq1VxvudnT9ctKMBTqX5qairjx48nIiKCQYMGYbfbycvLc+/ifv1Mu327h6JpvEpKSpgxYwZBQUHMmTMHgB07dnDixAm2bNlCVFQU4eHhHDlypNx1Q4cOJTw8nJYtW5KUlMQll1zCiBEjuOmmm/jb3/6G3W4/533nzp3LY489hsVioUOHDgD07t3bOy9SRERERKQSruTSOZK1a5ePQvGysDDXtNiGttflkCGmzcoq//jChTzrge4PHTpEx44dKSws5JNPPikbUcvIyHCvg0suMW1DW6vaAN1zzz3k5eUxc+ZMBg0aBMCRI0eYNWsWdrud++67j/j4eAoKCsoljL1796aoqIiUlBR27drF+vXr+fzzz1myZAl33303CxcurPKezz//PFOnTiUgIIA///nPxMTEAHCJ8/smIiIiIlIPXMllUZFp4+N9FIqXBQe7psVWMwpU75zTIc+edhoeztV17Pqee+6hU6dOZGdns2jRIi699FIyS7c9iYyMdK+TCy807bFjdYymccvNzeX111+nRYsWzJgxoyzJS0tLY8mSJQQEBPDggw8SFxeHw+Hg6Bm/5Jg3bx65ubm8+eab3HfffYwdO5arr76aYcOG0a1bN/7nf/6nyvtGRUXRo0cPvvzyS6ZOncpPP/1EQECA+99fEREREREPsJUdOafFJib6KBQvy852JXF1XNvmcX37mrZVqwqP13Va7PHjxxkyZAivv/46bdu2BWDPnj0EBAQQGhrqXieBgWbUtx4KDvmz+++/n8LCwrJiPU2aNAEgJyeHkydP0qtXL5o0aUJYWBgAu3fvpnXr1mXXh4SEcNttt3HbbbfV6L6TJk1i0qRJZV8XFhbSvHnzur4cEREREZEacSWXBQWmbaxrLrt1c41cnjzp21jOFhtr2pUr4dlnyz1e13FkZzGZM6WkpBDrvKe7QkPNdi5SpXfeeYekpCRGjhwJQGBgIAAnTpwAYPLkyeUezz5rv9X09HT+/e9/c+DAAb7//ntKSkoIDw+nd+/ezJgxw63Kr7m5uRQVFWG1Wqs9V0RERETEk1zJpbO4S0Mb1fOUzExXAh0X59tYzhYebooMNWtW/vGoKCxgRl1LR8Hq6uDBg+Tk5DB69OiaXRgVZeLwYCyNyb/+9S+ys7NZvnx5hedycnKw2WxMnDgRMEV/oPyaV4fDQWJiIllnr7sFvv32W+6//363Rpr37NkDUG0BIBERERERT3Mllykppj1wwEeheFmvXlC6RQOl/wFvUGw22Lq1wsN5QMjhw67tQOpo/vz5AGWJjtsuuAAOH4YtW2DwYI/E0pi0a9eOefPm0blz5wrPORwOOnfujM1mftwOlVYu3nrG99tisbB06VLWrFlDWFgYhw8fJj4+nl/+8pf079/f7TjWrl0LmCm2IiIiIiL1yZVcRkSYduBAH4XiZfn5UDpiRKdOvo2lMjExroq9Z9gL9Dt+3GPJ5aJFiwgKCiqbuum2gQNh9WrXLyGknH79+tHPuWXLGSwWCw6Hg8cff7zssY4dO7Jz504uv/zycueOGjWKUaNG1ei+b731Fm+++SbJyckUFBRw6tQpwEx9jomJISAgAKvVisPhICIigltuuYXHH39c02ZFRERExOMqrrkM9tTOig1MmzbgcJjjbdt8G0tlIiOhNDEo9zDA2rVwViJSEyUlJQwePJgTJ05w6NAhoqKiuOaaazh58iQ5OTkUFBRgs9mIjo7mlltuYcqUKRU7cVYR3rGj1nGcjyZOnEhsbCw33XRT2WNLly5l5cqVNZ+afJZp06bx0ksvVfpcUVERqamp5R47fvw4M2fOZOLEiWXFnUREREREPOX8Kehz5jTBpCTfxVGV4mLXutczfAl0rmPCn5aWxoYNG3CUJtenT5/m448/rvTcdevW8Ytf/IJ27dqVf8JZ0fasIjRybv/4xz8qPBYWFsZ1111X574Tq6jsHBcXx/Tp08nOziY/P59Tp06RlZVF06ZNueWWW5RYioiIiIhXuJLLvXtN29AqqXqKc9ovNMyRy6Qk2L7djK4614YC4WCmoz7wQK27jo2NJSMjg9///vd88MEHDB8+HJvNRvPmzQkICMBut5OXl8fatWvp1KlTxcQSIDratGlptY5DPOv+++9nxIgR/Pa3v2X79u1ER0dz9dVX89xzz2E54++QiIiIiEh9cCWXpcVGKlQsbSzOXGPWoYPv4qjKvn0msczLg9J9EAF+BG52YwuK6kRERDBnzhzmzJlTuw7atHHFKQ1Gjx49WLlypa/DEBERERHBlXE5tzlo0cJHoXjZmVs8/PCD7+KoysUXm/asrWD2Ahw5Uu/hVBARAQEBrunTIiIiIiIiZ3All86kobFuYXD6tOu4Y0ffxVGVXbtMe8behwAlALt313s4VWqsW9WIiIiIiEiduKbFOpOvKorHJCYm+vU6riv69OFzTDa9YuZMRs+c6euQynkDuB1o0bYtJ854vD1QkJlJqMWCwyeRuRQCuYcPE1WDvwf++nfGX+MWERHxBH0OinhGVQUYGytXcvndd6Y9c4TvDAcOHCirNupvLBYLa+bNg/vvh6Iirp48Gccrr/g6rPKuvRY+/JDjKSmubT+AcIuFYMB+9CgkJPguPoDQUCIDA3FkZrp1unOPR3/jr3GLiIh4gj4HRTznfPtFjWtabNeupnUWbmlsbDZo3twcf/utb2M5F5ut3Je5AE2aVLoHZr0LDCxXyVZERETkfPXOO+/wm9/8xtdhiDQoruSysNC0ddxTscFaswbsdnPcsqVvYzkXZ2GlM8XEuNZk+lJQkCnqIyIiInIeKyoq4tZbb2XdunW+DkWkQalY0KexJpfh4dCvnzn+8UffxlKZE6UrLQMDK39++/b6i6UqQUEauRQREZFGqaioiO7du/ODG7sKzJ8/n5KSEu677756iEzEf7iSS+cPUmMdmfriC8jPN8dRUT4NpVJNmpjEMiio4nMDBlSYLusTxcWu91BERESkETl69Cjbtm1j8eLF1Z67bNkygoODmThxYj1EJuI/Ku5zGR7uo1C8rGlTuOoqc3zwoG9jqczOna5pu2dLS4PPPqvzLfbv38+QIUPo06cP//73v2veQWP9xYOIiIg0Go888gjvvPNOja87evQoAJGRkdWee+zYMS655JIa30OksXMll9HRpm2s+1xu3+5K3iobHfS1mBho27by5/r3r3PS/+9//5vOnTvz9ddf88MPPzB27Fiucibb7goJAau1+vNEREREfODWW2/l2Wef5amnnqrxtTt27AAgwI1fpjdt2pRf/epXNb6HSGPnyhTy803S1QiThwCAkhIYPtysGUxL83VIFe3cCenplT/XsiXs31+n7m+//XZCQkLYs2cP6enpdOnShc8++4zp06e730lAAKg0uYiIiJxl2bJlxMTEUFRUBMCRI0fo0KEDu+qxIOG//vUvFi5cCODW1NazZWdnA9C9e/dqzx0wYAA33HBDje8h0ti5MsljxxrGuj4vaA8muYyKqrwaa0MQGAg9e1b93JEjte7a4XCQmZnJ3XffTceOHYmKimLbtm1ERUUxd+5ccnJy3OuosBBKPzREREREnKZOnUpqaip79uwBYObMmezfv5/NmzfXy/3ffPNNxo0bB0BCQgI9evSocR/Hjh0DINiN4pbz588nIiKixvcQaexcyeWuXa7tSBqZMOdB69amLSpqWK+1qAiysqoultO/P+Tl1WnU0GazEXVGISOr1cpzzz1HcXExr7zyinudREZq3aWIiIiUc+rUqbLE7GBpXYtVq1YBcOGFF3r9/jNmzOD//u//ypLCa6+9tlb9OKfFJiQkeCw2kfONK7ls3x7i430Yivf0AJMUhYW5KsVmZfkypPKc03SrWnPZtKnZKub48Vp1b7FYmDBhAh06dCj3+O23347FYin7AKhWeLi2IhEREZFybr755rLjE6VbqzmTzcTExHNe63A4mD9/PklJSYSFhWG1WrFYLAQEBBAcHMzvfve7Kq/96aefaN++PX/84x9p27Yts2bNAmDMmDG1eh1ppf8fqy5mEamaK7ksLGy0lWJzwGz1Aa41pYcP+yqcig4dMm1V/5i1a2fidu6FWQtvvPEG48ePL/eY8zd8zjUG1crJ0VYkIiIiUmbz5s2sXr2aIUOGAHD8+HG+/fZb8kv/vxByjkKRhw8fJjg4mMmTJ7Nr1y7y8vIAypLLkpISPvzwwwrX5efn079/f3r16kVKSgpTpkwhOTm5bH3n4MGDa/Vadu3ahcViIbyR/n9YpD64Flnm5TXc9Yh1dCGYPRoBmjc3iWVDSpKcW6OUlFT+vM1mii19803V6zJrYeXKlTgcDvr06ePeBZ07m+nTIiIict4rKipi1KhRhISE8P7779OsWTP27NnD8uXLsVqt2O12bOeo59GqVSsWLFhAcnIySUlJjBw50q3ELjg4mOnTp9OtW7dyayu3bt1KSEgITZwDCjWUnZ3t1npLEama6yd+795GO3KZCq6tVpzTYg8ehIEDfRVSec71nxdfXPU5Hp6iUVhYyM0334zFYuGRRx5x76KDB1XQR0RERNixYwejR48mNTWVDz74gOjoaKxWKz/99BPr1q2jTZs2HDhwgMLCQgIDAyvtw2KxlJtS6y6LxcJNN91U4fHk5GS39qisitVq5fLLL6/19SJy5rTYwECIjfVhKN7THsyUTnBNi61q2w9f+PZb02ZkVH1OcDCsXeuR2+3YsYPWrVuTnp7OHXfcQZs2bcqee++993jhhRcodo70nqlbN625FBEREV555RVSU1N58cUXueaaawAzorh+/XocDkfZUpxTp07VqN+ff/6Zf/zjH+zdu7fGMZ04caJOxXimTp3K3//+d7fOPXToED/99FOt7yXSWJXf1LJdO99E4WWnwFQ6BVO4CMBu91U4FbVoYdoBA6o+p3VryM2t022+/fZb+vTpQ7du3Th16hT3339/uX9E8/Ly+N///V9++9vf0q6yvwv79pn3rSG9dyIiIlLv5s2bR2ZmJtOmTSt7bPjw4TgcDh555BH69esHuAr7VGXdunUkJCQQGRlJQEAAXbp04c4772T+/Pk1imfJkiWUlJRw+PBhIiIiCAoKonnz5qTXYDBh5syZ5X7hXpVf/epXJCYmcuedd9YoRpHzgSu5zM011VQboZbgqg578qRpS/dhahDWrDHtuUYF4+Nh9+5adb9y5UpiY2O5+OKL2bJlC0lJSWzZsoUXX3wRMFNk3377bYYOHYqlNIYjR45QUFBQvqMuXUyr5FJERETOsnz5cgoKCnjqqadoX/rL/A8++AAw6zMr89FHH3Hs2DEyMzNxOBy0bduWJUuWMHv2bLfu+dFHHxEfH182TTY1NZWgoCDGjh3Lpk2biHYui/KgNm3a0LdvXxYvXuzxvkX8nUkuS0rMVheVTYVsBI6Bq1qsc+F3y5a+Cqci52jquX5bFh9f66m8s2bNKpuW0qRJE3Jzcxk3bhxxcXGEhIQQHBzMLbfcwoYNGygpKSEqKopXX3214qL25GTTKrkUERGRSjgL+PTp0webzca8efPo1q0b27dvr/T8p59+msOHD/PVV19RVFTEgQMHuPHGG92616JFi7jmmms4fvw4FouFiRMnkpGRQWpqKosXLy5LcKuTlpZG+/bt+eKLL9w6/+mnn2bjxo3askSkEuZfAOeoXkPansODmgFkZpovnCOWP/zgq3Aqcq6ljIio+pwLLoAarltw+vzzzxk7dixr1qwhJyeHrNLvd0BAADabjbi4OOLj4xk6dCgzZsygZVWJd6tWtbq/iIiInH/mzZvHo48+ytChQ+nVq1eV57Vq1YpWtfg/RqdOnejVqxcjRozgySefrPUWIikpKWRkZBDfSPd7F6lPJrl0bsvRSCtkpYDZygOge3dYutRsq9FQxMfDjh2mqFJV2rY136esrHMnoZUIDg7m448/rmOQuAoOORx170tEREQatUmTJjFp0iSv9T9w4EB+8MBgQbdu3UhLS/NARCJipsU6K6k20q1ImgI4/9Fw7tPYkCp8ubN3pDMZ9mXc50p+RURERETkvHZeJJfbwbUFyQUXmLYhjVxGR1f/3ickmNeQnV0/MVXGuRGytiMREREREZGzmIzLuQ6xka65tAIUFkJRkaviakOqFpuSYmI7l4AA8+e//62fmCpTUlK+FRERERERKWWGopwjUo206tUBMOsEjx51vcbu3X0ZUnnOSrbVadvWVZjIF0JDfXdvERERERFp0CwOh8PBe+/B9dfDv/8NY8ZUemK7du04cOBAPYfnGXHAcaA38DgwFngN+LUvgzrDSUyWX91OTFuAnwH3CnR73lvArUATIMdHMYiIiIiI+IvExESSndv5nQfKb0VyjiqkBw4cwOGnVUKDStcI/vDJJ/Doo/D999wxdy533HuvjyMr1bo1OBw4jhyp8JTFYnG974MH0zMzE8fWrfUcYKnbboO33iI7K8ut0dZysfsRf41bRETEE/Q5KOI5ljrUKikuLi7bO9ZfmDWXKSnmq0Za0KcITDGcQ4dcr7UhjcIWFJg1odXp18+su/SV4GDTFhf7LgYRERERkUZu3LhxNG/enJwc/5ovaJLLTZvMV879LhujsDD4+WdX4ZxBg3wbz5kCAlyJ27nY7bB3r/fjqYoK+oiIiIiIeN3u3bvJyspi6xkzFhctWsRvfvMbH0ZVPZNcOrfn6NDBh6F4WUkJbN7s2pLk6FHfxnM2d4a8L77YvRFOb3GOWPpy9FREREREpJG74447cDgcTJ06teyxP/3pT+WSzYbIZFpurLn0eyEh8NNPEB9vvr7oIt/Gc6a8PPOnOnFxJrn01fB4YKBp/Wzut4iIiIiIP5kyZQqdOnViw4YN/OMf/wBg3759JCQk+DiycyufXLq7JYY/stkgLQ2OHTNfV7evZH0KDYWoqOrPa93atPv21fgW+/fv5+WXX2b69On84Q9/YNeuXTXugxMnTKuRSxERERERr3rxxRexWq08+uijHDx4kKysLFq2bFnhvOXLl/PHP/6RtLQ0H0RZnkkuN24000WdI1ONkXO0Ly7OtK1a+S6Ws2VmQmpq9ee1aWPaU6fc6tbhcDB9+nQiIyPp0KEDU6dOZd68ecycOZOkpCQmTJhQszhbtDBtUFDNrhMRERERkRq55ppr+OUvf8mJEye44YYbABg9enRjFeS4AAAgAElEQVTZ86+99hqRkZH88pe/5NVXXyUzM9NXoZYxyWVAgBk9a8ysVlMN1zn61rSpb+M5U7Nm4M4Qd5Mm5nvlRnK5e/duWrduzSuvvEJSUhL/+te/KCgooKCggKKiIh544AEWLVrEzp073Y9zxw6wWDRyKSIiIiJSD/7+978TFxfHxo0bAbM95LPPPkuzZs349a9/TXZ2Ni1atKBZs2a888472O12n8Zrksvg4IY1kucNeXkmOXO+4Q1pfWlqKhw+7N65VqtJ8qqRkZHBnXfeyYkTJ9iwYQPXX389gaUj0wEBAfz+97/HYrGwe/du9+Ns1cpU3RUREREREa+LiYlhxowZZV9PmjSJRx55hPT0dADsdjvHjx9n48aNPPLII4SHh9ds8MjDTGWWjAz31vz5u+7dzbYrVmvDGqlt1sw1Xbc6YWFuFfTp168f/fr1q/L5sWPHYrFYGDp0qJtBAlu2aI9LEREREREvs9vtPPHEEyxevJg9e/aUe85isTBixAgeeOABoqKiKC4u5vDhw7z//vts3LiRl19+mVdeecUncZvk8uRJ13q6RigCzFYk0dGQne3rcCo6dcq9PUbz801hotLfVNTG+vXrmTBhAnv37uXee+8loiYjuM2bu1fVVkREREREamXp0qXcfffdpKenY7FY6Ny5M3a7nb2l+923b9+eTz75BNtZOzjcdNNNvgi3HDMtNiPD/WmZfqi38yAnx6wXjIz0ZTgVRURAYmLVz586BYMGmVHL1FT4+ecadb969WqGDBlCeHg4l1xyCYcOHeKZZ55h7ty5NYtz/37f7rMpIiIiItJIORwORo4cybhx4zh9+jT/8z//w8aNG1mwYEFZYtm0aVP27dvHkCFDfBxt5awUFIDDAZdc4utYvKYnmBG/gQNNctTQRi8zMuDo0Uqf+i2YvTnXrTPTecPCahT/X//6V4YPH87XX39NUFAQ1157LW+88QZXXnkl2TV9HwIC3Cs8JCIiIiIiNXLllVeyatUqOnbsyI4dO3j99dc5efJkWSKZmJjIqlWrCAoKYv369QwbNszHEVdkLdvjMibGt5F40dVgEiObzSTS8fG+Dqm80FBo1678Y7t3w6WX8icwRYguvRROnzZVbnNz3e769ttvZ/To0TRr1oy8vDw+/PBDbrnlFvr3709ERASBgYFER0czfPhwTp48ee7OTp0y1WJFRERERMSjrrvuurI1lp06deKee+7hmmuuAUxBzubNmzNw4ECWL1+O1WplzZo1Nd9a0MusOPdDaUjVUz2sH5jE0lmMxo2COPUqJ6f8tOR586BHD/jmGw4BfP45/Pe/ptptVJSr4q0bQkJC+Pjjj0lNTSU/P5/i4mJ27tzJihUrmD17Ntdddx0RERGsWbOGDh06VN2RwwFFReeevisiIiIiIrUyZcoUxo0bB8C0adNYunQpJSUlLFiwALvdTtPSrRSvuuoqFixYgMViYdGiRbzxxhu+DLscK0eOmKPTp30bibcUFNAETCEa51rFhrTHJZjE94ILTHzdusG995pkbsIE2gNccYXr3OjoOiXHVquVpKQkRo0axfTp01m6dCnvvvsuFosFy7lGJU+cMEWRRERERETEq8LDwwkICOD111/n2muvxeFwUHzGrg0TJkzg1VdfBcz2JCkpKb4KtRxr2fq9hrQ1hyetXctTAOHh0LateSwkpP7uv3Wraxrru++aLUdatixfdbWoyGyR0qULbN9uRgc3bIB//pMK6Vzz5mZ6qofMnz+fQYMGYbVaWb169blfB5gYRURERETEa5577jmKi4u5/fbbySvNGwrPKqz561//mocffpiioiKmTJniizArsGI1BWPp0cO3kXjLJZfwHEBQkGvErwZrFuvk44+hZ0+T2EZFwQ03mG1fkpIgONgkmE89ZUYps7JM0vvMM5CcDL16Vd5n9+6mKJGbVVuTk5Mrffzdd9+lS5cuTJ48mYiICDZv3nzOfTHZvt20mhYrIiIiIlJvYmJiqpxh+Mwzz3D99dcTFBRUz1FVzlaWcIWH+zYSb3GOUgYGmhFCqL/Rt549TSGhkhJTERZg1ix47DF48kn4059cCW9EhFl3Wd2U3ZEj4bnn4OuvoZoKUVlZWXTo0IErrriCIUOGcPz4cb7//nu2bt1Kbm4ugYGB3H777fz1r38lODj43Pf97jvTXnihGy9cREREREQ8wWKxcOmllzJo0KBKn1+2bBklDWT5mq0s6WmsyaWTwwEHD5rjQ4fq554tW5o/Z97v8cdNYumcM92unRmpHDfOvbWgzj1tli+vNrmMiIggPj6e1atXl015tVgstGjRgrvuuotHH32UGHerBDunxfbufe7zRERERETEo7766qsqn7NYLNhstnqMpmo21q41R9VtQ+HvMjLg2DFz3KeP9+/ncJgiPYcOmSmwn31mCvOUlJjE0maD1183yVrPnrB/v3v9Wq1mOxA396g8evQon3/+OXv37qVDhw4MGTKk+lHKyuzfb0ZhG1oxJBERERERaRBsdO5sjhp7oZZOncy6SzB7SHpbnz6wb59JBjdtgvvvL19ttbjYPO5cW9m3r3v97t1rElfn980Nw4cPZ/jw4TUI/iyZmaaacJs2te9DREREREQaNWvZ9MzGWi3WKTLSddy9u3fvtXEjbNlijjt3ho8+gssuMyOUCxbA1Veb5+bOhYULzXFBgXt9f/+9aetj9BXMVOKePcu2RhEREREREamMrSypOR+Sy127zHF6unfvlZhoCgnl55u9Kx9+2PXcbbeVP/fdd03brp17fTtHXTt0qHOYFWzfDnPmwJdfminEOTmu0dbmzeHppz1/TxERERERaRQsjhtvdLB0qVlTd44Ep127dhw4cKD+IvOwxcBgoDXwD+BOL98vGJgHDANigCDACgQAltI/dmA1cCVwE7DEjX5nAY8BbwB3AcXnPv2cOgC/AsYAF5bG6OQASoCjwFvAH0q/FhERERER9yQmJla5NWBjZHH84hcOPv7YbIPRqlXVJ1osOByOegzNcywWC46LLjIVT4uK4IEH4IUXfB2WMW0avPQSfPEFXH55hacrvO8ZGaYCbW6uWUN64YVmXWdurhkpLS42XwcHQ1iYKcATGGgeKyiAtDRITTWtc2sWMH21a2e2OrnxRrj00jq/NH/9O+OvcYuIiHiCPgdFPOd8+3my0b69OWrs02IHDYKffjLHubm+jeVMO3eaNinJvfMjI8101SefhD//GbZtA7vdrIkEU0nWyW6vvA+bDaKjTZGjoUPhrrvcn5YrIiIiIiJSCVvZmrqAAN9G4m2tW7tG6rp29W0sZ8rMNKOKsbE1u+6JJ8yf6uTlmWTa+dpbtCifgIqIiIiIiHiAjZwcc9TYk8vmzV2jew1p7ejBgxAR4b33PzS08Y9Ki4iIiIiIz1nLtrZo7GJiXMcXX1zn7rKzs1m1ahUTJkygXbt2REZGEhoaSnR0NG+//bb7HWVklN8mRURERERExA/Z6NnTFLqxWn0di3cFBrqODx+u0aUnTpzg6aefJiUlheTkZHbs2EFOTk6li3Pz8/N54IEHGD9+fPUdZ2ebP0OG1CgeERERERGRhsZGSIg5auxVjM4cuezVy+3LioqKaN++PblnFQGyWq2Eh4cTFRVFfHw8PXr0oG/fvjz00EPcdddd7nXu3LMyLMzteERERERERBoim68DqDcdO7qOq6qiWonAwEAiIiIoKSnhrrvuom/fvvTs2ZNevXphrWS0d8qUKe7HtGOHaUeMcP8aERERERGRBsjG9u3m6Mw9Dxuj5s1NlVSH45z7eZ5t27ZtHD9+nJtvvpm5c+d6NqbvvjNteLhn+xUREREREaln1rLpojUYzfNLFotrC46mTd2+bMyYMVitVv761796PqYjR0x7xRWe71tERERERKQeWWnf3hwVFPg2kvrkZnXWv/3tb+zZs4eRI0fStAYJqdu2bTMJb0KC5/sWERERERGpR1aCg83R+ZBcOosWuTEN9cSJE9x7771YrVbi4+OZPXs2mzZtqrRCbK0dPw6xsY1/j1EREREREWn0bKSnm6OMDN9GUl+cU2OrcezYMex2O3a7nTfeeKPs8YCAANq0acOkSZOYMWMGFjf7q9Tp09CuXe2vFxERERERaSCsOLfYcCaZjVVenhm5dDMZ7NmzJ4WFhaxbt46vvvqK+fPnc8stt9CmTRsOHjzIww8/TLNmzdi5c2ft4jl4EAoLoW3b2l0vIiIiIiLSgFjp398cNfapmcePm9Zuh7P2rKyK1Wrl4osvZsiQIdx9990sXLiQ/fv3k5mZyY033sjp06fp378/9toUQ3LG07t3za8VERERERFpYKw0aWKOsrN9G4m3nZlQnjhRp67Cw8NZsmQJY8aMITs7myeffLLmnaxcaVo3iwuJiIiIiIg0ZFZsNnN07JhvI/G2rVtdx5s3e6TLv/zlLwAsX7685hc7R4ovu8wjsYiIiIiIiPiStWyt5bZtvo3E286c9uuskFtH6aXvXa0qyH7+uWmbNfNILCIiIiIiIr5kpV8/c9TY91pMTnYdnzrl1iUZ56igW1RUxFVXXQXA9ddfX/N4nEllp041v1ZERERERKSBsRIVZY4a+1Yke/e6jt1MLvv168ef/vSncgV7cnJymDVrFtHR0Rw5coS2bdvy2GOP1Tye9evBaoWQkJpfKyIiIiIi0sDYypLLAwd8G4m3NW9u2oAAV6XWatx6663MmDGDhx56iMDAQOx2O0VFRQBYLBZGjBjBihUrahdP06ZQ2peIiIiIiIi/szjS0x1ER0PXrudcd2mxWGq3trABsFgsOC65BNatM6OFPXrADz+4de3Bgwd58cUX2bBhAxkZGURHRzN48GBmzJhBs7qslwwLg6AgOH26+tj9+X33w9j9NW4RERFP0OegiOecbz9PZuQyKAhat/Z1LN4VH2/a2Ngavda2bdsyZ84c78TUpYt3+hUREREREalnVgBiYiirGttYOddctmgBOTm+jaWoCPLyICvLt3GIiIiIiIh4iMXhcDhISoLsbDhypMoT27VrxwE/Xpd5GGgF/BeIBHr5MJb2wD5gCXCTD+MQERERERHvSUxMJPnMXSsaOZNcxsVBaiqUlFR9oh/PF7ZYLDi6doXt2+GGG2Dt2nMm0l63di0MHgwTJ8Jrr53zVL9/3/0wdn+NW0RExBP0OSjiOefbz5OZFjtwINjtUFjo43C8yDkt9tAhOHbMt7Fs3GhaZwVbERERERERP2eSy4QE81Vamg9D8bKgIAgMhEsv9X0ifeKEabt1810MIiIiIiIiHmSSy+Bg85Uz6WmMcnLM63RWjc3MrFN3aWlp2O322l2ckmLazp3rFIOIiIiIiEhDYZJLZ1K5dasPQ/GeEDCjlXY7REaaB6vZX/Jcnn/+eRISEvj0009r18G+faZt2bLWMYiIiIiISOORnp5Ojq93tagjk1yOGmW+CgryYSje09R50KGDa5T25Mla9TV58mQeeughLr30UkY537eaOnIELBZo27Z214uIiIiISKPyyCOP0Lt3b1+HUScmuWzRwnx1/LgPQ/GeROfBsWNmyxWAPXtq3M+8efOYP38+vXr14vPPP8dqtdYuoNxcCA2F2l4vIiIiIiKNyogRI9izZ49fb11ispuoKPPVhg0+DMV7ykr3dOgA3bubY+f0WDft3LmT+++/nxYtWrBp06a6BZSZCRERdetDREREREQajY4dOwJwunT53smTJ1m4cCEDBgwgPDycK6+8kqKionLX1LoGjJfYAGjWzHx19KgPQ/GeGOdBSQmEh5vjGs5nHj16NBaLhbVr12Kz2WofjN1u7h0XV/s+RERERESkUXEmjvPmzWPZsmVklhYgtVgsNG3alNWrV5OYmMiuXbvIy8tj1KhRZGdnEx4eTpcuXXjppZeIjY315UsoTS47dDBrAJs08Wkw3lK2m2RBges1pqa6ff2sWbPYv38/TzzxBB06dKhbMPv3g8PhmoosIiIiIiKNXmFhIampqSQ4t4EEMjIyePPNN/nPf/7Djz/+CMBrr71GYGAgw4cPp3///jz77LMsWLCA//znPyxatIjIyMiyEcugoCBiY2O54IILsFgsPnldZzLJZVCQGb10bpHRyJRNiz1zgez69XDPPdVfW1jIc889R7t27fjDH/5Q92DWrzdtp05170tERERERPzC119/zciRI1myZAnNmzfnoYceYuPGjVitVgIDA8nNzQUgIiKCiIgIwsPDadOmDYMGDWLz5s0UFhYSEBBASUkJAFdffTWtWrVi8+bNfP3111x00UUkJiYydepUrr/+ep8km675nYWFsGVLvQdQHy52HuzeDdHR5rhbN7euffHFF8nNzeXpp5/2TDA//GDafv0805+IiIiIiDR4w4YNY+TIkWWJX8eOHbnllltYuHAhDoeDAQMGsGHDBrZt20anTp1Yvnw5H374IaGhobRs2ZKkpCS+//57Tp48icPhYMWKFVgsFsLDw4mJiaFLly4MGjSIpKQkn41iupLLdu1gxw4zZbMBDKl60l7nwcUXQ0iIOS4srOr0cp5//nliY2MZP368Z4JxVn8aMsQz/YmIiIiISIP3yCOPsGrVKgICArDZbBQWFvLWW2/Rs2dP5s+fz9dff82GDRsIDQ3l008/ZerUqSQnJ5OVlUVycjLHjx8nPDwch8NBcHAwBQUFvP3229x0002+fmllXHthdOsGxcWQnu7DcLzjIufB4cOufS63bq32unfffZfTp0/z3HPPcdddd9GyZUvGjBlTNmRdK8nJJnm/4ILa9yEiIiIiIn5j9OjRvPzyy8ydO5cbbriBgoICDh8+zB/+8Ae2bNnCoEGDyMzMJCgoiJiYGFasWMH27dtp3749jz/+OLt27SInJ4cOHToQFxfHvn37SEhI4M4772Tjxo2+fnllXMllaKhpDxzwUSjek+k8aNUKnJVeg4KqvW7RokVYrVY++OAD/v73v5OSksIHH3xQVia4VvbtM/d2Vq0VEREREZFGa8WKFZSUlHDw4EFycnJYunQpffv2BWDVqlU4HA4AfvjhBwIDAwF48MEHmTNnDlu2bOHJJ5+kc+fOJCcns3HjRu644w5atmzJ22+/TXZ2NqNGjaLQzVmZ3uZKLktL3bJtm49C8Z6yHSVDQlxTflu1Ouc1DoeDVatW0b9/f5YvX05ERATJyclERUVx7Ngx1qxZU7tgMjKgefPqzxMREREREb939dVXs3LlSqKjo/m///s/UlJS2LRpE8899xzr16/niiuuwG63s337dqJL68PExsZyz1nFR3//+99jtVr5/e9/D8DQoUO59dZbSUtL80zhUQ9wJZe/+EXpI9YqTvVfZTtK5ua6Xt+xY+e8Zt++feTk5BAWFla2YDYxMZHnn38egDlz5tQ8kBMnzF6bkZE1v1ZERERERPxas2bNaFG6JeGDDz7Iyy+/zLp16xg4cCApKSmEn2N248qVK0lKSiLUOeMUs21Jt27deO6553jnnXe8Hn91XJmkc9/FRrgdSZbzoGdP14NHj7qON2+G994rd80bb7wBQPPmzWnbti2DBw8G4IYbbgBg165dNQ/km29M265dza8VEREREZFGZfLkyXz77bekp6eTn59Ply5dKj0vMzOT1NRUpk6dWu7xwMBA5syZg8Vi4amnnirbpsRXXMll6fxeli/3USjeU5ZSHj5sWosFunc3x9u3wyWXwIQJ5a7Zs2cPAI899hjvnZF4hpRWm63VN+6nn0yrbUhERERERATo3bs3mzdvxmq1csUVV1R6zrp164iJieHOO++s8NyIESOYMWMG27dvZ/Lkyd4O95xcyaWzeqlzH8hGJNl50L+/68HMTPjyS+jVC4qKYMSIctds374dgO7du5ctuAXKhps7dOhQ80D27zdt1641v1ZERERERBqlkydPMmHChAojk05Dhw7lhx9+qHL/yscee4zg4GDeeecdcnJyvBnqObmSy4QEM6KXn++zYLyll/PAOXIJ8NVXMHy42X5l8mT48MNy10SWrotcvXp12WN2u50ZM2YAlLU14kwutQ2JiIiIiIiU6tSpEwsWLKjy+eDgYFq2bFnl82FhYfzlL38hKyvLp6OXFoez9i2YaqpRUZUWu7FYLJx5qj/5wmJhKMAXX8Dll0NAANjt5slnn4WHHqp4zRdfcMUVVxAWFsYdd9xBQkICs2fPJi0tja5du7KtNlV1e/Y0+2seOgStW7t1iT+/7/4au7/GLSIi4gn6HBTxnPr8eSouLiYuLo4mTZpw4MCBKkc5val8adiQEFNRtZHp5Dw4etQkeHa7GaV9771KE0swQ8/Tp08nLy+Pl19+mUceeYS0tDQuuOACNm/eXLtA0tNNGxVVu+tFREREREQqYbPZmD59OocOHeLjjz/2SQzlk8uuXc1WGY1MmvNg4kQzcgjmtV533Tmvmz17Nnv27GHy5MncdtttrFu3jp9//rmsqE+NFBe7tiCpTaVZERERERGRc5g2bRrh4eFkZWVVf7IX2Mp95XCYkcvcXAgLK/dUYmKiT4ZWa6ML8AFwNfAMMNb5RH4+a4Ek4LNt27i5hq/nXPOgz5YATAJuBtoDgWc8t6ZvX4bV4L7+8r5Xxl9j99e4RUREPEGfgyKekZiYWK/3Cw8P57XXXvPZliTl11z27g1btsC+fdC+ffkT/Wn+fW4uTJsG//iHSZidHn0UnnoKgoOhVSvzOj3F4YBPPzV7Wb76Kpw6ZR6zWCA01IxahoVBaqqJ47e/datbv3rfz+Kvsftr3CIiIp6gz0ERz/HFz1NJSQm5ublERETU633h7JHLK64wyaUPy9d6xD33wBtvlH1ZAgQA3HqreaBpU7O+tC4yMmDVKtixA5YsMUV6nMPP4eHmvbz6apg0CXzwjRURERERkfNPQECATxJLODu5dE6BSEmB7t19EE4dFRfD0KFm9DA83Iy+Tp5M2uTJxIJrPWlWlkkOn3nGJH5BQWCzQWGh6/mUFFN45/vvoXlz+PFH85wziTyz8FFQEHTsCGPGwLBhFfbMFBERERERaezKJ5fOaqY7dsCVV/ognBrYtMkU5LHbYc8eMwW1Z0/YuxcSE83zMTEAnHIml851pHFxJkl89FH372exmGQzIAC6dTPTagcPhn794LLLwGqtvg8REREREZFGqnxyeeml8OabEBvrm2jc9fTT8PjjJrG84gqzjrF3b9NedBGsW2dGE0uVbTeamWnajRvN/pZ79pjRzqZNoUULiI+HTp2gqAgSEsyf4GDzXJMm9f4yRURERERE/EX55NKZkB065JWbPfnkk3zyySdccMEF3HnnnVx22WU172TBAnjsMXM8fTqMHWumpBYWwlVXmaI6Z1U4OwxEgmt/yRYtYM6curwUEREREREROUP5arHz5sG998KECfDPf5Y/0QOVjpo1a0a6c+otYLVaiYuLY+jQofzmN7+pPtl0OEzl1YICZ1Cux3/5S/jgg0ovy7BYTHK5Ywd06VKn11Df/Llim7/G7q9xi4iIeII+B0U853z7eSq/ULBnT9N26uSVmy1btgyLxYLNZsNqtWK32zl27BiLFy/m8ssvx2q1Eh4ezqBBg7Db7RU7+Owzk1iGhkJSkkkqHQ6TMFaRWAKUpbORkV55XSIiIiIiIue78sllaKhp9+/3ys3uvPNOHA4H8+bNo6ioiGXLlnHZZZcRWnpfh8NBbm4u69atY9OmTRU76NvXtHl50LatqeIK8PPPcPRolfdt6ukXIiIiIiIiIuWUnxa7bh0MGmT+fPNN+RPrOKT77bffcvHFFxMaGkrumdt4lDp58iQvvvgia9asITExkbfffpuAgICKHZ1ZzMcE5qoUu2VLpfdOs1hoBnDqlCsh9RP+PJTur7H7a9wiIiKeoM9BEc85336eyhf0aVlaV/XCCz1+o7FjxwIwY8aMSp+PjY3l2Wefrb6jRx+FcePMnpLbt5vEEiA/v/prg4PdDVdERERERERqoPy0WGfytWuXR2+yZMkSjh49SkhICE888UTdO+zUCX76yYxefv65KUD07rtVnh7qPDiriqyIiIiIiIh4RvnkMjDQtKmpHr3JlClTAOjRowfLli2jpKTEc50PG2Yq23bvXuUpZWOaztcnIiIiIiIiHlU+uWzSxLTt2nn0Jn1LC/Fs3LiRG2+8kcDAQLp3787Bgwc9ep+qNHEeaORSRERERETEKypOi7VYYNs2j95k5cqVbNq0iSlTptCxY0csFgvbtm2jXbt2LF682KP3qkxZ+SCb7VyniYiIiIiISC2VrxYLZupomzawb1/5Ez1Y6aikpIRrrrmGFStWYLVaOXLkCPHx8R7pu9L7WSwEgKv4jx/x5wpT/hq7v8YtIiLiCfocFPGc8+3nyVrhkSZNXNNjvSQgIIBPPvmESy+9FLvdzoQJE7x6vyyv9i4iIiIiIiIVRy6Dgsz00bP2ovRG1n3kyBFat25N06ZNycjI8GjfZyq2WMyeKyUlYK2YTzdk/vzbDn+N3V/jFhER8QR9Dop4zvn281RxEWJMTL3d3DkVtqCgwKv3yQEivXoHERERERGR81vFYTy7vcKoZW1df/31FBYWVvn8zJkzAWjWrJlH7leV0OpPERERERERkTqomFwWFHgsuVyxYgWJiYls3bq1wnMLFy5k1qxZADz22GMeuV9Vqk5vRURERERExBMqrrns2xd27oScnPIn1mK+8N/+9jcmT56M3W4nOjqaVq1a4XA4SE5OJqe0/379+rFx48a6vYpqFFgsBIPWXNYzf43dX+MWERHxBH0OinjO+fbzVDG5jIuDkycrbNtR2zdmy5YtjB8/nh07dpS7PjQ0lHvvvZfnn3++dpHXQJ7FYqbGKrmsV/4au7/GLSIi4gn6HBTxnPPt56licjl4MKxda6bHBgW5TqzjG+NwONi+fTvp6el07NiRhISEWvdVU9kWCzkGIo4AAA3eSURBVE0AioshIKDe7usJ/vwX0l9j99e4RUREPEGfgyKec779PFWsFuvcEiQ7G84otJOYmIjFYqmvuDwqv7QNttn8cv2lv77v4L+x+2vcIiIinqDPQRHPSExM9HUI9apictmkiWmLiso9fODAAb/NujNL11wWaOSyXvlr7P4at4iIiCfoc1DEc863X9RUXIAYWbojpIcqxlYlIyODWbNmsWvXLq/eByDMeXCefXNFRERERETqS8XkMjvbtGlpXrvps88+S/PmzXniiSf46KOPvHYfpwIwhXz8rJiPiIiIiIiIv6g4LbZrV1PQx0sefPBBZs+eTWRkJOvXr6dLly5eu5dTGFSofisiIiIiIiKeU3EoLznZtF6YrvrWW28xe/ZsYmJiOHToUL0klmXCwqo/R0RERERERGqlYnI5YIBpo6M9eqMTJ04wadIkwsLC2LZtGxERER7tv0oFBVgACv2xTqyIiIiIiDR2jz76KHPmzCn3WFFRESUlJT6KqHYqJpf79pl20yaP3ujqq6+moKCAVatWERcX59G+z8lZmMjDybKIiIiIiIgn7Nq1iwcffLAsmZw8eTItWrTgX//6FwCnT5/mrrvuorCBD5hVTC4HDTJt69Yeu8krr7zCd999x+TJkxk8eLDH+nXLiROmLS6u3/uKiIiIiIicZfPmzWzZsqXcYw8++CDFxcW8+uqrJCUl8frrr/PEE08wbtw4AKZNm8aiRYu47777SEtLIzExkfT09HPe5/jx46xatYr27dtTUFDgtddzporJ5ZEjpv36a4/coLCwkD/+8Y9ERkbywgsveKTPGsnPN61zixUREREREREfWbx4MX379mXNmjVljw0YMICgoCDuu+8+MjMz+fnnn5k6dWrZ8z169CA/P5/NmzezZMkSDh48SGhoKNnZ2WzevJmVK1eSmppa7j67d+9m1KhRHDt2jODg4Hp5bRWTy379TNumjUducMcdd3Dw4EHefvvtentR5Rw9alpNixURERERER975plnaNq0KVdeeSWvvfYaAO+++y5FRUU4HA52795NYmJiuWumTJmCzWZj9+7dZVNlY2JiiIiIoH///owZM4a//vWv5a659NJLiYiIID8/nzFjxgCQnJzM3//+d6ZNm8bDDz/MM888Q7EHZ3haHI6z9uh49VWYNAmuugpWrnSdaLFw9qnVSUlJISkpiYSEBMaPH88TTzzhkaBr5I03YOJE6NkTzhp+9ge1ed8bCn+N3V/jFhER8QR9Dop4TlU/T8eOHaNbt26kp6fTp08ffvzxR1q2bMnBgwe59dZbSUxM5KGHHuLrr79m+vTp7N+/n1xnLZmz+g8MDKRly5Z0796d+Ph4Tp8+TVZWFgCrV6/G4XBQXFyM1WrFbrcDYLPZaNGiBbGxsXzxxRdEemiWZ8V9Lnv1Mm2LFnXufOLEiWRlZXHbbbdx2WWX1bm/WikqMm2fPr65v4iIiIiIyBni4+PZvHkzXbp04bvvvgPg4MGDgBnFvPvuuwkKCuLee+8lOzub8PBwgoODCQsL40jpMsa3336bxMREPv30U/785z/z+eefEx4eTlFp/mO328uOnV8HBATQoUMHxo8fz29/+1uaNGni0ddVcVqss9xt6YusrS+//JKVK1disViYN28ew4YNIzQ0lGeeeaZO/daYs+qtcy2piIiIiIiID5SUlPDUU08RHh5eVmjHYrGU/QkKCqJVq1a88MILBAYGsmvXLo4ePcqJEydIS0vj8OHDDB8+HIDp06eTmJjIzJkzycrKIjc3l5MnT3L69Gm++eYb8ktrzwwbNozCwkL+93//l5KSEpo1a8bjjz/u8cQSKksu27c3bR2HRl955RUcDgcxMTH069ePqKgo8vPzefTRRxk6dGid+q6R+HjTjhxZf/cUERERERE5y5/+9Ccef/xx8vLyCAkJ4dlnn6W4uJiffvqJAQMGUFRUxO7du7nnnnvKjTqeyZlLPfDAA2RkZFR6znXXXVdW7+Z3v/sdgYGBLF26lLFjx/Ltt98yZMgQr0x/r5hchoeb1rnfZS0UFBTw3nvv0blzZ06cOMHGjRtJT09ny5YthISE8OWXX/LAAw/Uuv8aWb3atM4tSURERERERHzgvvvuIyUlBbvdTl5eHg899BBWq5WuXbuyfv165s6dC8DSpUt5+OGHK+3DWexn/PjxdO3atdJz0tLSyqrN9uzZs+zxd999l2uvvZa1a9dy7bXXevKlAZUllxERYLFAYGCtO505cyYlJSVMmjSp3OM9e/Zky5YtWK1WXnrppWr3ZvEI5wjswIHev5eIiIiIiEgVwsLCaHGO2jZXXXUVNpuNw4cPM3v27ErP6dKlCzabjbi4uCr7+ec//0l6ejohISEkJCSUe+79999n5MiRLF++nHnz5tXuhVShYrVYAJvNJJlnJH81qRzWokULTp48SVZWFuHh4djt9rKNQi+88EKuvfZaVq1axS233MLChQs980qq0rq1WW/5zTcwaJB37+UF/lyxzV9j99e4RUREPEGfgyKeU9OfpyNHjnDq1Cl6OYusVqKkpITNmzczYMCAc/b12WefYbfbGVnJ8kC73c6gQYPYs2cPp06dcju+6lSeXIaGmsI+hYWuE2vwxlitVoKCgsoWkXbp0oWff/65rJ/hw4fzn//8h/DwcLKzsz3wMs4hNhZOnYKDBz22d2d98ud/4P01dn+NW0RExBP0OSjiOQ3556moqIi5c+cybdo0AgICPNJn5cllXBykpcEZG2rW5I2xWCzExsZyonSd4+WXX85///tfmjZtWrbo1GazUVJSUrbXitcEBlJSXEyA3W6m+/qZhvwXsjr+Gru/xi0iIuIJ+hwU8Zzz7eep4ppLMHtDlpS49oisIYvFQk5OTtnXy5Yt48Ybb+T06dP87ne/A8xwrsPhoMS59Yk3pKdDcTFFJijv3UdEREREROQ8V3ly2bSpaWtZYbVp06bk5uaWLUKNi4vj+eefB+Cxxx4DwOFw0L59e48NwVZq714AdnrvDiIiIiIiIkJVyaVzQ81aJpdvvvkmAA8++CCdOnXivffeo02bNjgcjrLkMjY2ln112O7ELRs2ABDu3buIiIiIiIic9ypPLm0205ZWeK2pMWPGsHjxYoKDg9m7dy/XX389AQEBWK1W5s6di8Vi4aWXXqptzO4rnZq70vt3EhEREREROa9VnlyGhpq2dFppbYwbN478/Hxmz55N586dSUhIICEhgYsuuoivvvqKm2++udZ9u23FCgDCvH8nERERERGR85qt0kfDStOxna7ViomJiVg8UBQnJSWFIUOG1Lkfd7wPXAt8AtzhxwV9PPG++4q/xu6vcYuIiHiCPgdFPCMxMdHXIdSrypPLFi1Mm5xc9tCBAwf8r4xuXBycPEkW+F/spfy5fLG/xu6vcYuIiHiCPgdFPOd8+0VN5dNiO3UybVaWafft4xIAf/uHpnTt6E8+DkNERERERKSxq3zksn1702Znm3b0aNYCBARARAS0aQPdukG/fjBihDk/KqpeAnZLcjKsWwfHj4PFwjF/S4pFRERERET8jMVR2byH1ath+HBo1gxSU2HnTtZeeCGDmjY1o5mVJWsxMRAYCEOHQl4ejBsH4eEwbJhpvWXFCvjzn822I4WFZrQyO9sVY0QElqwsv53e4c9TU/w1dn+NW0RExBP0OSjiOefbz1PlyeWOHdC1qynsU7qdR7k3ZutWWLMG1q+HY8dM4Z/0dMjPr+QOFpN0xsXBhReaUc+RI6F7d+jSBayVz8ytUnY2vPACLFgABw9CSUnl5w0bZpLk1q2xHD7st99Uf/4L6a+x+2vcIiIinqDPQRHPOd9+nipPLjMyzDTXwEAzGoibb8yxY2ZvzJUr4fRp+OIL06anV3F3i9n2pEkT8ycxEZo3h8hIaNnSJI8REbBnjzlOTobc3Ip9RERAu3amENHOnTBrFgQFwfjx0KsXli1b/Pab6s9/If01dn+NW0RExBP0OSjiOefbz1PlySWYpM1qLRsZrNMbk59vRhF37oRVq8z+mWlpJumsTZ8WC8THw29+A1OnQtOmFc+55x545RUYPRrLJ5/47TfVn/9C+mvs/hq3iIiIJ+hzUMRzzrefp8oL+oAp3lNSAkVFZgSzLkJCYPRo8+eBB1yPOxxmCu6WLfDtt3D0qCnCk5kJ0dFw8iS0bm3WcHboAElJMGoU9OpV/T2dlW7btq1b7CIiIiIiIlKtqpNLm80kl0eOmCmn3mCxmLWdXbvCzTd7tu/vvjNtbKxn+xUREREREZEKqq6mU7pHJEeO1FMoHlZUZNp+/Xwbh4iIiIiIyHmg6uQyJMS0hw7VUyge5kyKIyN9G4eIiIiIiMh5oOrkMjratGlp9RSKhzkXznbu7Ns4REREREREzgNVJ5cREaY9fbqeQvGwggLThoX5Ng4REREREZHzQNXJpTMp27OnnkLxsNItVGjSxLdxiIiIiIiInAeqTi5btjRtbm49heIl59G+MiIiIiIiIr5SdXIZHGzalJR6CsWDnNuQgNkjU0RERERERLyq6uQyKMi0qan1FIoHtW7tGrHcscO3sYiIiIiIiJwHqk4uLRbTZmTUUygeFBfnOl661HdxiIiIiIiInCeqL+hTWFhPoXhYVJRp33rLt3GIiIiIiIicB6pOLp1VVp0jmP7miSdM6+8FiURERERERPyArepnSp8qKqqnUDxs2jRIToY+feD2230djYiIiIiISKP2/95Ci3r85qWmAAAAAElFTkSuQmCC"
}
},
"cell_type": "markdown",
"metadata": {},
"source": [
"Vediamo invece qui sotto l'esecuzione passo passo di `triangolo_ricorsivo(3)` in tutti i dettagli, compresa l'esecuzione delle chiamate ricorsive (si chiamano in questo modo le chiamate di una funzione a se stessa).\n",
"\n",
"![image.png](attachment:image.png)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Funzioni ricorsive che restituiscono un risultato"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Consideriamo adesso la funzione `somma_iterativa` che prende in input un numero `n` e restituisce la somma dei numeri da 1 fino ad `n`. Anche questa l'abbiamo vista più volte nelle lezioni passate."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"def somma_iterativa(n):\n",
" \"\"\"\n",
" Restituisce la somma 1 + 2 + 3 + ... + n\n",
" \"\"\"\n",
" sum = 0\n",
" for i in range(1, n+1):\n",
" sum += i\n",
" return sum"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"15"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"somma_iterativa(5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Come nel caso precedente, possiamo notare che per calcolare la somma dei numeri da 1 fino ad n, possiamo prima calcolare la somma dei numeri da 1 fino ad `n-1`, e poi aggiungere `n`. Questa idea si tramuta nella seguente funzione:"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [],
"source": [
"def somma_ricorsiva(n):\n",
" if n == 1: # caso base\n",
" return 1\n",
" else: # caso ricorsivo\n",
" x = somma_ricorsiva(n-1)\n",
" return x + n\n",
" # Si potrebbe anche scrivere semplicemente return somma_ricorsiva(n-1) + n\n",
" # senza usare la variabile x. L'unico motivo per cui uso la variabile x\n",
" # è che è più semplice dopo fare vedere i dettagli dell'esecuzione passo-passo."
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"15"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"somma_ricorsiva(5)"
]
},
{
"attachments": {
"image.png": {
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"
}
},
"cell_type": "markdown",
"metadata": {},
"source": [
"Come per il precedente programma, vediamo l'esecuzione passo-passo (ma sorvolando sulle chiamate ricorsive) per `somma_ricorsiva(1)`, `somma_ricorsiva(2)` e `somma_ricorsiva(3)`.\n",
"\n",
"![image.png](attachment:image.png)"
]
},
{
"attachments": {
"image.png": {
"image/png": 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"
}
},
"cell_type": "markdown",
"metadata": {},
"source": [
"E poi aggiungiamo l'esecuzione passo-passo dettagliata con tutte le chiamate ricorsivo per `somma_ricorsiva(3)`.\n",
"\n",
"![image.png](attachment:image.png)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Notare che Python non è un linguaggio particolarmente ottimizzato per le funzioni ricorsive. Le funzioni ricorsive, se non ottimizzate corettamente, cosa che richiedono il lavoro congiunto del compilatore e di chi scrive il codice, sono molto più dispendiose di quelle iterative. Per questo motivo, Python ha un limite massimo al numero di chiamate ricorsive che è possibile effettuare, di default pari a 1000 o 3000. Se si supera questo limite, viene restituito un errore."
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"125250"
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"somma_ricorsiva(500)"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"ename": "RecursionError",
"evalue": "maximum recursion depth exceeded",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mRecursionError\u001b[0m Traceback (most recent call last)",
"\u001b[1;32m/home/amato/Nextcloud/Didattica/programmazione-python/notebooks/programmazione/notebook_231212.ipynb Cell 24\u001b[0m line \u001b[0;36m1\n\u001b[0;32m----> 1\u001b[0m somma_ricorsiva(\u001b[39m4000\u001b[39;49m)\n",
"\u001b[1;32m/home/amato/Nextcloud/Didattica/programmazione-python/notebooks/programmazione/notebook_231212.ipynb Cell 24\u001b[0m line \u001b[0;36m5\n\u001b[1;32m 3\u001b[0m \u001b[39mreturn\u001b[39;00m \u001b[39m1\u001b[39m\n\u001b[1;32m 4\u001b[0m \u001b[39melse\u001b[39;00m: \u001b[39m# caso ricorsivo\u001b[39;00m\n\u001b[0;32m----> 5\u001b[0m x \u001b[39m=\u001b[39m somma_ricorsiva(n\u001b[39m-\u001b[39;49m\u001b[39m1\u001b[39;49m)\n\u001b[1;32m 6\u001b[0m \u001b[39mreturn\u001b[39;00m x \u001b[39m+\u001b[39m n\n",
"\u001b[1;32m/home/amato/Nextcloud/Didattica/programmazione-python/notebooks/programmazione/notebook_231212.ipynb Cell 24\u001b[0m line \u001b[0;36m5\n\u001b[1;32m 3\u001b[0m \u001b[39mreturn\u001b[39;00m \u001b[39m1\u001b[39m\n\u001b[1;32m 4\u001b[0m \u001b[39melse\u001b[39;00m: \u001b[39m# caso ricorsivo\u001b[39;00m\n\u001b[0;32m----> 5\u001b[0m x \u001b[39m=\u001b[39m somma_ricorsiva(n\u001b[39m-\u001b[39;49m\u001b[39m1\u001b[39;49m)\n\u001b[1;32m 6\u001b[0m \u001b[39mreturn\u001b[39;00m x \u001b[39m+\u001b[39m n\n",
" \u001b[0;31m[... skipping similar frames: somma_ricorsiva at line 5 (2975 times)]\u001b[0m\n",
"\u001b[1;32m/home/amato/Nextcloud/Didattica/programmazione-python/notebooks/programmazione/notebook_231212.ipynb Cell 24\u001b[0m line \u001b[0;36m5\n\u001b[1;32m 3\u001b[0m \u001b[39mreturn\u001b[39;00m \u001b[39m1\u001b[39m\n\u001b[1;32m 4\u001b[0m \u001b[39melse\u001b[39;00m: \u001b[39m# caso ricorsivo\u001b[39;00m\n\u001b[0;32m----> 5\u001b[0m x \u001b[39m=\u001b[39m somma_ricorsiva(n\u001b[39m-\u001b[39;49m\u001b[39m1\u001b[39;49m)\n\u001b[1;32m 6\u001b[0m \u001b[39mreturn\u001b[39;00m x \u001b[39m+\u001b[39m n\n",
"\u001b[0;31mRecursionError\u001b[0m: maximum recursion depth exceeded"
]
}
],
"source": [
"somma_ricorsiva(4000)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Ricorsione e altri tipi di dato"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Non siamo limitati a usare la ricorsione su funzioni i cui argomenti sono interi. Qualunque tipo di dato si può usare ai fini della ricorsione, purché ci sia un modo di misurare la complessità degli oggetti di questo tipo. Il caso ricorsivo dovrò richiamare la funzione su valori più semplici rispetto all'argomento in input. Per gli interi la misura di complessità è il numero stesso, e infatti le funzioni ricorsive viste finora richiamavano se stesse su un input ridotto di 1. Per le stringhe, invece, una buona misura della complessità è la lunghezza.\n",
"\n",
"Vediamo come definire una funzione ricorsiva sulle stringhe che ci dice quando una stringa è palindroma (si può leggere indifferentemente da destra a sinistra o da sinistra a destra)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Il caso base in questo problema sono le stringhe molto corte, quelle di un carattere o meno. Queste sono sicuramente palindrome. Per il caso ricorsivo, possiamo controllare il primo e ultimo carattere: se sono diversi, sicuramente la stringa non può essere palindroma, ma se sono uguali, allora possiamo:\n",
" 1. togliere questi caratteri dalla stringa\n",
" 2. determinare la nuova stringa ottenuta (che è più corta di quella di partenza) è palindroma\n",
" 3. la stringa originale è palindroma se e solo se questa ridotta lo è\n",
"\n",
"Questa idea si implementa nella seguente funzione."
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [],
"source": [
"def palindroma(s):\n",
" \"\"\"\n",
" Restituisce True se s è palindroma, False altrimenti\n",
" \"\"\"\n",
" if len(s) <= 1: # caso base\n",
" return True\n",
" elif s[0] != s[-1]:\n",
" return False\n",
" else:\n",
" return palindroma(s[1:len(s)-1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Si noti l'uso di `s[1:len(s)-1]` per estrarre la sottostringa di `s` che inizia alla posizione 1 e termina alla posizione `len(s)-2`, ovvero quella ottenuta eliminando il primo e l'ultimo elemento."
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"palindroma(\"anna\")"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"palindroma(\"ala\")"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"False"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"palindroma(\"alce\")"
]
},
{
"attachments": {
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"
}
},
"cell_type": "markdown",
"metadata": {},
"source": [
"Qui sotto vediamo l'esecuzione passo passo della chiamata `palindroma(\"asta\")`.\n",
"\n",
"![image.png](attachment:image.png)"
]
},
{
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"metadata": {},
"source": [
"Si noti che con l'input `asta` non arriviamo al caso base, ma ci fermiamo quando confrontiamo `s` con `t`. In generale, nella funzione `palindroma` il caso base si raggiunge solo se effettivamente la stringa in input è palindroma, altrimenti ci si ferma prima."
]
}
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