"
],
"text/plain": [
" CO2 Delta_days Day_number\n",
"Date \n",
"1958-03-29 316.19 0 0\n",
"1958-04-05 317.31 7 7\n",
"1958-04-12 317.69 7 14\n",
"1958-04-19 317.58 7 21\n",
"1958-04-26 316.48 7 28"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"new_data[\"Delta_days\"] = delta_days\n",
"new_data[\"Day_number\"] = new_data[\"Delta_days\"].cumsum()\n",
"new_data.head()"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": true,
"hidePrompt": true
},
"source": [
"Aucune donnée n'est visiblement manquante dans le fichier, autrement dit toutes les lignes présentent bien une valeur.\n",
"\n",
"En revanche nous voyons qu'il manque un certain nombre de semaines dans le fichier 72 au total.\n",
"Nous voyons également que l'année 1964 est celle présentant le moins de relevés hebdomadaires, en partie dû à un intervalle de 133 jours entre deux relevés.\n",
"Nous gardons donc cette information en mémoire pour la suite de l'analyse."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Représentation des données"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ax = new_data[\"CO2\"].plot(color=\"black\", linestyle=\"-\")\n",
"ax.set_ylabel(r\"$\\rm CO_2$ in the atmosphere [ppm]\")\n",
"ax.grid(linestyle=\"--\", linewidth=0.8, color=\"gray\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Nous observons bien une oscillation périodique superposée à une évolution systématique plus lente."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Analyses des données: composante systématique"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Dans la suite, nous cherchons à séparer les deux contributions (systématique et oscillatoire). L'augmentation systématique de la teneur en $\\rm CO_2$ est estimée à partir d'une fonction polyomiale de degré 2 et d'équation: $y = a_2 x^2 + a_1 x + a_0$."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = new_data[\"Day_number\"]\n",
"y = new_data[\"CO2\"]\n",
"\n",
"coeff = np.polyfit(x, y, 2)\n",
"y_fit = np.polyval(coeff, x)\n",
"new_data[\"Incr_trend\"] = y_fit\n",
"\n",
"plt.figure()\n",
"plt.plot(x, y, color=\"black\", linestyle=\"-\", label=\"raw data\")\n",
"plt.plot(x, y_fit, color=\"red\", linestyle=\"-\", label=r\"fit ($a_2={0:.2e},\\ a_1={1:.2e},\\ a_0={2:.2f}$)\".format(*coeff))\n",
"\n",
"plt.xlabel(\"Day passed since {:%d/%m/%Y}\".format(new_data.index[0]))\n",
"plt.ylabel(r\"$\\rm CO_2$ in the atmosphere [ppm]\")\n",
"plt.grid(linestyle=\"--\", linewidth=0.8, color=\"gray\")\n",
"plt.legend()\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Nous pouvons dès à présent réaliser une estimation de la teneur moyenne en $\\rm CO_2$ dans l'atmosphère pour 2025. Notons que cette méthode n'est pas la plus adaptée mais permet d'obtenir un ordre de grandeur satisfaisant."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"424.04528179868464"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"days_to_2025 = (pd.to_datetime(\"2025-01-01\") - new_data.index[0]).days\n",
"CO2_2025 = np.polyval(coeff, days_to_2025)\n",
"CO2_2025"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Analyses des données: composante oscillatoire"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A présent nous pouvons essayer de déterminer la période d'oscillation.\n",
"De fait, nous soustrayons la contribution systématique des données brutes afin de ne garder que la composante oscillatoire."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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P7X8vobWxGjcnqTZOCCESAQkghCjAx4lcCDEeOCylXC+E+K8Iv7sJuAmgW7dulJSUAHDeeedRUFDAa6+9BkBxcTHjxo1j7tywMpKSksLMmTNZtGiR5uSbPHkyO3bs0Oq7jh49muzsbC3Xet++fbnkkku0vCcZGRnMmDGDBQsWaKaEqVOnsmXLFk3lGzNmDElJSbzxxhsADBgwgJEjR7J8+XJWrlxJTk4O06ZN44UXXtAmk+nTp/PBBx/w6aefAjB27FhCoRArV64EYPDgwQwZMoQXX3wRgM6dOzNlyhTmz5+v3dQzZ85k1apV7Ny5E4ArrriCyspKVq9eDcDQoUPp168fCxcuBKCwsJBJkyYxb948TbWeNWsWy5cv1zZ9XX311ZSWlrJ27VoAhg8fTs+ePTWbalFREePHj2fFihWsXLmShIQEZs2axdKlSzlw4AAAEydOZP/+/axfv/60GCeVLE6N07vvvquNg36cNm7cCMC+ffv4z3/C+0Tr6uooLy/X7km/x0kfO69SbPzxj3/knnvusTVOc+fO1cqjqnHatWsXK1eubPVxUjmROnXqpPlW9u/fz7Zt22yNk9nztHnzZlauXNniefrkk0+067hu3Tq6desGwHPPPUdOTo7ncTI+T1ZYs2YNKSkptsbJ+DytXr2alStXuh4n25BS2noB04ElwH7gN8A24Fq7x9s4/4NN594NHARqgPmRjhk+fLg8XTBnzpzW7kJg6IiyLVy4UALyww8/1D77/ve/L/Pz8wPrS05OjiS8QJM1NTUyKytLfu973/N0zrYyditXrpSAXLFihXZtw9OTe1jJ9tvf/lY7/+OPP661t3HjRk/tmeHkyZNaW8bXmjVrXJ/X67gB66SNedmWiUkIIYBVhM0/DwJfAJOklH+3T0WRIaW8S0rZU0rZB5gGvCmlbDt5ANoh6uvrWbNmTWt347SEWfI1/X6IIKA3MaWnpzNq1Cg2bNgQWHsK1dXV3HXXXYFuAlRaQ48ePQLf1ayXI2gTk9r3YIag5fQDtgiiiXEWSSk/kVI+LqV8TErZ7iKNgsSAAW2vttL06dO54IILOHLkiKfztEXZ/IKVbEYfBITNHfX19YFFwxijmLKzsz1PanbG7qGHHuKhhx7iySef9NRWJChTYH5+PuPHj9c+lx5Sl1jJpr9mKSkpZGZmAsHshYh0L3hxUsfqmXPipF4jhBgZWE90kFK+LaUcH/2Xpw9GjozJpXMEZT/1Gk3RFmXzC1aymRGEKiQf1MrQSBDp6emeV/XRxu7jjz/m/vvvB4JNVa3qP+Tk5NClSxd++9vfAt5Sl1jJFksNIhJBeLlPYvXMORnxSwmTxGcqSV+8UJB9KKdaW4TXSaYty+YVVrKZZedUDs6gIpmMYZ9+EES0sXv88VOR7GqlHQQqKipITU3VnO9ZWVmAt8WLlWxGDaJTp04AWuCBn4hEEF7uk1g9c04I4iqgL/AVYAIwvulvHKch9DdnkLZlhaeeegohxGlhd7UDKx8EBKdBGDdWpaenBxqa+cgjj7B7927L9v1EeXm5RrDgD0FYwahBnHHGGVx++eWBlB2NlLU1yLQsfsEJQewFLga+JcMJ/CTQNfIhcSjob/62gM8++0z73+skY0e2hx56CIAvvvjCU1uxhpVsZiYmFb+v6hz7icbGRs0e379/fyAcJuqV3CON3e23366FT0Kw+YoqKirIzc3V3ittxQtBWMmmv9+TkpIQQnDuuedy+PBh39O1R9IgvBBErOaTNrWTuj1j2rRprd2FZtAThNdJxo5sakJ9+eWXPbUVa1jJZkYQF110Eb169eL555/3vR9q9f7d736XdevWAWENoq6uztOk5uS+DJIgrDQIL21ayaa/35WpMD8/n7q6Ot81MiuC6NKli6d0IrGaT9raTup2ixdeeKG1u9AM+mRfXh8KO7KpCfWuu+7i/fff99ReLGElm5kPIjU1lVGjRgViYlIE0bdvX20iTU9PB/CUbsPJfRlLDcIPE5OVbHqCUNc1Pz9c88xrRJ8RVgRRWFjoSYOI1XzihCAC3Und3hFkCgY3ePnll+nSpQvgXYOwI5s+AifWuf69wEo2qyL0WVlZgdjNVXGZpKRTyQ8UQXgZPyv5zLSS1tAgvFxLK9nMEuYFQRDHjx9vZqLTo0uXLp4IIlbziROCeAR4BSgUQvwGeBd4IJBexREoKioq2Lx5M1OmTAFi46TWR+D4bec1w89//vNmaZb9hpmJCcK2c78n0pqaGq0GsRlBBOGoNjqkU1JSYqpBdO7cGThV+8JP6O93dS8GQRBTpkzh3nvvNf2uU6dOp4WT2nYuJinls0KI9cBYQBDeSR3fLGcT06dPb+0uaNi3bx8QzvEE3ieYaLJ9+umnzWoXBBUN8+qrr/LUU0/xwgsv8Jvf/AbwTkZWslkRRBAahNGpqqDi970QvJV8xuib3NzcwAlCRYFBeEd1Wloa27dvd31OK9lqamq46qqrGDRoENdccw0QDEFEqtnQqVMnLWeVG8RqPnG08yW+k9o9Pvjgg9buggaVjG/gwIGAdw0immzjxo1r9j6oiWbKlCm88sorWrI8P2AmW2NjI3fccQdgThANDQ0RUyw4hRVB+GFisho7o+08NzeXrVu3Bqb9VVdXN9tnkZCQQL9+/TwRhJlsy5YtY9euXfTo0YM//OEPWtEgVVtcJcXzA5GuVV5enrY50A1iNZ84KRiUKoT4hhDibiHEveoVZOfaE1SmVis0NjbSrVs3/va3vwXeF0UQaru+Vw0immzGhy6ofQIqr/+tt94K0Mxk4RZmsun3Bhh9EEGkbdCfy2+CsBo7owaxY8cONm7cyOuvv+66LSuEQiHq6+s1v4PCgAEDot5bkWB2rMq8a1yB5+bmkpOTo2nXfiASQXg1RXq5Lk7gRINYDEwEQkC17tWu8eCDD7JpU/Abxrdv386hQ4f46U9/Gnhb+/btIzExkV69epGcnBwTH4QeQRVKURqRQlFRUSDt6LUGMw0C/JVRT+D6MplB+iCMGoRqKwifgJoojTu1e/bs6euKHsJkKoQwradQXFysLZ6CwF/+8hft/8zMzJhVsfMCJ/UgekoprwysJ20QJ0+e5O677+a+++7zPJBjx46N+L3Kymmc5ILA0aNHycvLIzExkYyMDM8TjJVsu3fvZt++fS1WUkERhDEVhR+reDPZ9PeCFUGcLhqE1djpNYiEhATWrFnD0KFDA5nQrAiia9euVFRUUFdXR1pamuPzmslWW1tLWloa4QTVzdG7d2/fCKK8vJzS0tJmn+nHTq9ppqQ43y0QbT7xC040iNVCiHMC60kbhHoY/LAnR3PMbt68GfBeRcsO9BEjfqRrsJJt9OjRXHLJJS2+D8rEpJ/UEhMTPdl4Fcxk0+87MItiAn9I8Gtf+xrFxcWWBOFH7iersdMTQXJyMt27dwf89x+tW7eOgwcPAi0JorCwEHCvtViNnRXZ9OrVyzcT01e/+tUWn5kRhNtnL8i0J3pEJQhdUr6LgP8IIbZ1lGR9fq6WVDUrK6gUFLEY+PLyco0gsrKyPD/0VrLp02pMnDhR+z8oDUJPED169KCioqJFBlSnMJPNuLrWw08NYtGiRezbt8/SSa1CQVWqbDewGju9jElJSYFkPK2srGTkyJHavWH0QXglCDPZamtrNc3LiJycHN8WL6rynB5mEWhu75No84lfsGNialdpt50glvZB9RDEoi6uflNSTk5OYJtuBg4cqJWSfPnll7XVdiw0iKKiIvbu3UtVVZXveWsiJWBTk5yfMlppECoLaRDx9Pp7PykpSZtU/dQg1IZJVVfbSoM4dOiQb21GIoiMjAzq6+u1cp9+IzExkZdeeonS0tJAa1D4iahXQUq5pyk53yFgMvAn4I/A15s+a7fwkyDUngMrKIKIxQ2jNzH5QRBWsvXt2xcImxH0D5yXFW8kGDUIoIUd2CnMZItEEEGk/LYiiNTUVDIyMjwRhNXYGQkiISGBjIwMT/dnY2MjL7/8suaTMmqSZj4IcE8QgwcPprGxkQcffFC7RpEIwg+fTiT079+fa6+9lptvvtkzQUSbT/yCE5p8BhgMPAo8BgwCgo/JbEVEmgicYsiQIRG/b00Nwutq10q2EydOMHr0aIYPHw7Apk2bGD58uO+RKQr68brssssALFMd2IWZbJHuC5XR1c90IlYmJghrEV4I12rsjCYmCE/gXu7Pv/zlL0yePJlnnnkGaKllGQlCLWLcku2QIUNYtmwZd999N7fffjsQ2QcRZOGgzZs3Nyvy49UHEW0+8QtOCGKglPJGKeVbTa+bgPZbaxJ/NYgXX3zR8jspZcwJQj182dnZnle7VrLV1dU1W62dc845DB8+XDMp+A39pDZixAj69+/P22+/7emcZrLFmiCsNAgI+yG8aBBWY2d0UkN4AvXi+Fe76dVf431n9EF4nURffPFF7VilrUQzMXlpLxKMK36vPohI84mfcEIQG4QQ56s3QohRwHv+d6ntIFY+iKNHj2pqbdAEIaX03cRkBRVSqEfPnj0pLS31VTtT0J8zMzOToqIi37Nz6tuZM2dOi+/S0tJITU2NGUEEldPHTIM4ePAgzz33HC+99JKrcyoflAocMJKNUYNISUkhISHBk1nLmFTRDkEEYWIyhtW2Gx+EDqMIh7ruFkLsBv4NjGnP0Ux+EoSKODHDsmXLADjrrLMCJ4iamhpOnjzpq5PaSjYzdV75BoIwMxkJokuXLpSVlXk6p5lsqp2vfOUrpsfk5eX5ShD6iVS/UQ68m5isxs7og4BTci9dutRVW2qSVgRhvO/0uZggPKl6MWt17ty5Rc4so1arhx8bD2tra22NvVeCiDSf+AknBHElcAYwpul1BvBV2nHpUT8JQmVONWL27NlMnz6dgoICLr300sAJQq2O1A2ak5NDQ0ODpxW9mWwbN2401SDOPPNMAD7+2P9UXkEQhJlsqh1VP9kIvwlCP5EaNYjs7GxPYcNW96WZBqHgdoe6Igg1aeuJLz093bTmtZeNnFOmTNHISK9BBOmDGD16tBZdFgle98tYjZvfcEIQ5wFHmyKavkk4mqmLLsqp3cFPM8j8+fNNP7/55psBGDRoEFlZWYEThCI9tXvTjzrKRtneeecdvvzlL7Nz584WD+Pw4cNJTEzk3//+t+v2rKAfr4yMDPLz8ykrK/OUYM5s3NoSQXjN6WN1X5r5IPRtuoFaxS9atIg5c+Y0k6ugoMD0GC/yzZ8/v4UGEbSJaePGjbZ+l5OTQ05ODrt27XLVjtW4+Q0nBPELKWWlEOIi4ArgaWB2MN1qHTQ0NPCb3/xGu0H0D4nX3dRWE79yavbq1UurMex1c1ckGAlCmZq8OB+NsumT2RkJIisriyFDhrB+/XrX7Vmhvr6eCRMm8Oijj5Kenk6XLl0IhUKeyM9s3KIRRG5ubswIwmuqFKtjzUxMt9xyC+DeLKJW8Zs2beJ73/teM9+J2vNghBf5ampqtF3vdggiyNxWRgghOOecc1yn/I5FH8EZQahEN1cDs6WUi2lnJUfXrl3Lz3/+c22Xov4h8SNtgxlGjx4NwP/+7/9qjuOg2tqwYYNWREcRhKoq5+feBH36CTN1vqCgIJCqcvX19Zx99tn84Ac/AE7J5tXMBPDJJ59odbyjEYTfjn87GoTfabj1q2jV5mOPPUbnzp1dm0WMm8/0q+0gNAg4NZGqtiP5IIKMYjLD0KFDtRQ7bRVOCOJzIcQc4DrgH0KIVIfHt3koQlA3pJ4gvEaKzJw50/TzUCjEqFGjyM/P1/Ld6FNU+Ilhw4bxwx/+EDhFEH4USjHKpp8IzAgiOzvb993UjY2NnDhxotmk7UcqCiXboEGD6NevH3CKIKySrKWlpflqnoxGEFJK13Wpre5Lq8gpLxO2MW/Vu+++q/0fiSDcTtgzZ85sRhChUIjq6uoW4bQKsSaI7t27U15e7srXaTVufsPJBH8dsAy4Ukp5HOgMBJ+bOoZQZqQgCGLVqlWWbSobb9AEoYefBGGUTT8RmK3Wgqi6psZKTxDKVu7Fpmw2bvX19SQnJ1umY0hNTXU9YZtBr1GaEQS4N/uYybdkyZJmtnF9m17Gzni99HnH1H1ohJfd26tWrWo22X/xxRdnHv4dAAAgAElEQVRIKbVIOiOC3klthJe8XVbzid9wUnK0RgjxGXCFEOIK4B0p5XK/OiKE6EV4t3Y3oBEokVL+2a/z24EiCHVT6VeBXgli586dlm2e7gRhlK01NAgzs48fNmWzcauvr7c0L6k+xFKDgPAkYzXJRoJRvrq6Oi15ntIW9E5qPwlCD7V6N8KLBrFz585mz7LaoNmrVy/LtiC4ZJJW7VVXV9uKfNLDaj7xG04qyt0OPAsUNr3mCyFu9bEvIeDHUspBwPnALUKIs308f/QONK1o1E2l1yCCyh9kRhBBpaLQQxFEbm4uSUlJnnMW6RHNBxGEBqH6r3/QgjIZRCMIv01M+pW23xqEEW+++ab2vzL7BGVi0sPKXOc1/5PSBiorK7VU3j179jT9bXp6Ounp6b4+C5EQRHEpv+GkYNCNwCgpZTWAEOK3hDfLPepHR6SUXwBfNP1fKYT4GOgBfOTH+e0gSBPTFVdcYdmmIojs7GwyMzNjqkEIIcjPz/dUKcwom37XqNlEmp2dTX19fTPZvUJljT3rrLO0z/wgCLNxi1bAxm8NQg+rkFO3k6hevr1793L11Vdr77Ozs0lJSWlhYlKpMpwikgZhdR94IaQrrriC994LJ3tYsmSJVhnSiiCEEHTt2tXTs5CcnGw74tGLiclqPvEbTnwQglORTDT937Iskw8QQvQBvgy8H8T5rWA0MflJEFYmFeMkWVRUFBOC0LfZvXt3nnjiCcaNG+fqXEbZ9Ctes5j5IFZOiiD0Ffn8IAizcTt+/LgWnmyG1NRUQqFQIOHKfmsQevmMZsZQKER6erpvPohIsNIgcnNzKS8vd3UtKysrm4397t27ycjIiDh2Xbt29ZRe3MkeES8mraBS5hvhRIN4CnhfCPFK0/tJwBN+d0gIkQUsBH4opWwRKyiEuAm4CaBbt26UlJQAcN5551FQUKBl7ywuLmbcuHHMnTsXCN+AM2fOZNGiRdoKYfLkyezYsUOLRVYPyPvvv09JSQlbt25VbbJy5Up69+7NjBkzWLBggWZymjp1Klu2bNF+O2bMGJKSknjjjTeAcOH1kSNHsmTJElavXk1OTg7Tpk3jhRdeoKKigsOHD2tJ5VQh8p07d7Jt2zYt3Hbw4MEMGTJES9DVuXNnpkyZwvz587UHYObMmaxatUqzTV5xxRVUVlZqhUuGDh2KEEILh3zvvfcYNWoU8+bN0x7OFStW8K9//Usru3j11VdTWlrK2rVrgfAmt549e2qhskVFRYwfP16TLSEhgVmzZvH++6d4/cSJE6xfv17b93DeeedpBDJnzhzOPfdcx+M0evRosrOztRQlffv25dNPPyUjI4OFCxeSkZHBjBkzWLFiBQCvv/461157ra1xevbZZwG0cVq6dGmz4i9vv/02H330ESdPnuSzzz4jFAq1GCfVz+eff57p06c7Hqd+/fqxcOFCzPDMM89wyy23sHz5cvbu3as5kzdv3qzdP1bjNHfuXK3WwaxZs1i6dCmbNm1i9erVTJw4sUXt9fLycqSU7N+/n3/961+MGzeOffv2UVpayrx58xyPk9nueXVPrl27lpKSkhbPkyJatbfFapzU8wQwffp0PvjgA1avXt2izezsbFavXm35PNXV1fH555/T0NDgaJwKCwuZNGmSaSlTgJKSkhbPk9KuFyxYwLZt2yKOkzI7T5w4kf3797Ns2TJWr17tet6zDSml7RcwHLgNuB34spNjbZ4/mXCk1B12fj98+HDpJ+bOnSsBWVBQIB9++GH5y1/+Unt/0003eTr3nDlzTD/v27evnD59uvZ+6tSpsn///p7askJWVpYEJCC3bNnSrG/qczcwyva3v/1NO98bb7zR4vcvvPCCBOTWrVtdtWeGmTNnyl69ejX7rLa2VgLywQcfdH1eJZv++px77rly/Pjxlsf88Y9/lIA8evSo63b1bepfdXV1zX6zZcsWCcgXX3zRVRv6sVu+fHmztjp16iT79u0rp06dqv3mlltukV26dHHV1sMPP9xCHnVPzp492/SYJ598UgJy165djtubM2eOvPDCC5u1N3bs2IjHfOc735Fdu3Z13JZC165dTcfNDF7Gzmo+sQtgnbQxxzraxyClXC+lfERK+Wcp5QYnx0aDCFPvE8DHUso/+nluu1AmptLSUn7yk59QX19PYmIi2dnZnp2AQ4cOtWzTaO4Jykmtb0ev0n/nO9+hqKiIL3/5y67Oa5QtmonJj/QeRpj5M1JTUxFCeDIxGWX78pe/zLFjxyJGnaiVYRB+CKOjV4Vsbt++3dX59PIZN2hWV1fzwAMPcOutp2JR0tLSXIfwqrQXeqj7w8rE5GUvy9ChQ1vcY1b+B4XCwkJKS0tdbzzUj3m0WiReTK1W84nfsG1iEkKMAO4BejcdJwgz45d86suFhHM8bRZCqC2Wd0sp/+HT+aPC6FyqqKggJyfH825OQNtkZdamkSCqq6spKyvTdgL7Bb0tWf9ACiG44IILXCfQM8qmv46x8kGEQqEW9nkhhOdUFEbZNm7cSG5ubkSCUA5sLwRhtLlPmjSJa665poWMeXl5nH322aY1kO1AL5+RIBoaGpg6dWqzz/wmCHXvWzmpvRBEv379HBNEdnY2jY2N1NbWWobeRoLeb9mnT5+Iv/XiP7KaT/yGEw3iWcJ+iMmEs7f6msVVSvmulFJIKb8kpTy36RUzcoDmK18I35SdOnUiMzOTRYsWaTZtN7CyKRsJQlVCe+yxx1y3ZQX9A2pcsXmJvDHKpr+OZrtWY6VBgPdcRWbjVl5eHtVJDd4IwngvDhw4kBtuuMH0tyNGjHCd00cvn5EgBg0a1OL3aWlpnDx5skX/7MCMINRK3UqDUETshiAWLlzY7B4bNmwY3/zmNyMe49Xprx/z3r17A1guJrwslKzmE7/hhCBKpZRLpJS7ZFMGV9nOsrgaNYjnn39eIwjAdZRPtDb1E9uwYcMYMWIE77zzju9t6Vc3fhKEEa0RxRQKhQIhCCsEbWIyTsCR9l107tzZl9xPeoJ47LHHeOutt1r8RmlHbrQIPUGkpaVxwQUXaJpSEBoEhBchl112GQsWLGD9+vXNotzM4IUgTp482UzGzMxM1q5dqzncjUhNTSU5OTmw3Gt+wAlB3CeEmCuEuF4I8XX1CqxnrQCz+OXc3FxXqqYRVtkqzVa+Z599duD1EvwkCKNs+usYSw3CaH4B7wRhNW5BaxDGezESQajQUzd2c718+olq3LhxdO3atcXv/SKI3/3ud6xevToqQSgidhNm3rlzZ+rr6xkzZoztyB0vexPUAuyhhx7SxmLkyJHaBlgjhBD06dPHVcpvq/vSbzghiBuAcwkXDprAKTNTu4GZ2uw1zbfCpEmTTD9vaGhoMVkPGjSIAwcO+LqyUMnsFMwIwm2BJKNs+utotZMa/NUgIpmYvLRjNW5BahAnTpxwpEFkZ2cjpXRFhHr59Kt0q42AfhGEkkcRRKTEh0lJSY4XEzU1NVpotbFSXSR42ZtgTKVvB2eeeSY7duxw3JbVfek3nBDEUCnlCCnlt6SUNzS9vh1Yz1oBZmRQXV3tC0nMmzevxWdSSk6ePNliYlO2Xz+0iIKCAi677LIWk7+xzZSUFNcTmlE2/fUyiwvPyMhACOGrBmHmpAY444wzPF1Hs3EDexqEm0n03XffJSUlhbfffrvZ51YpqsGbRjZv3jwaGhq48847+eijU0kLgiYIdZ5oGoQQguzsbMcmtMWLF/PQQw8B7gjCjQYRLQ28Gfr168eOHTsca39W96XfcEIQa2KdGynWMCOCqqoqX0qPmp1DtRckQRw5coQ33nijRfvGtAfKxOTGTGE8dzQHZkJCApmZmTHRIEaPHs3u3btdhw43NDSYXpOgopjWrVsHwH//9383+9zMYazgRSNraGjg73//O7///e+bFXGKlQYRzUkN7pI7/uc//9H+t9q8ZgYvBOFGgyguLqaiosLx2PlZDjkSnBDERcBGIcQ2IcQmIcRmIcSmqEedRjCb2AYPHhzYYFgRRN++fUlJSfHVDxFtskpNTUVK6So6xQg758jKyvJNg6isrOTgwYOmBDF8+HAAT4VZzNI8BOWDUNdOFSdSiLRHxatPx+y6xdrEFCknl1uCUOd0sr/Hiw/CjQah/Jt+pof3E04I4kqgPzCOAMJc2wKMGsQZZ5yhqeAKbjfQzJo1q8VnKlLJ+HAkJSXRr18/15ufzGCHIOz8zgxG2dR1XL7cOht8dna2bxpEnz59+Oyzz0xNTGojmdv8VrNmzTINzwzKB2GM1snNzSU9PT0iIXnRIGbNmmUaSGB2LcGb+Ux/HQcMGABE90FAOJ2GU4L4/PPPmThxIqFQiHPPPdf2cX7kR3IS1OL2XjGbT4KAE4K4WR/e2hTienNQHWsN6Amib9++bN26lZycnGYEkZCQYBm2Fglmk+VVV10FmK+eunXr5imrpBHf/nZkd5GXSc0oWygUIjMzk8svv9zyGL80CCmlNqlaXUeAgwcPujr/8uXLTTUiq6pk4O1aGsujzp49O6rz2YsGsXz5ctNFj5VZxosGoa7junXrOPvssLXargbh1Adx9OhRampqIqYYN4MXE9OePeGof7X/wQ7cXs9Iiy8/4YQgzJ72q/zqSFuAniDGjh2rOQafeKJ5TkJjUjM7UAnwzGD2cBQUFHjOS69fsalNfj/96U+1FMh6qEnNjTnNKJtVyKkefmkQelOMWZuZmZlkZ2e71iD27t1rqkFEsmur1bDT4IZQKNRiR3S06wjeNIi9e/c2I7L58+fzzDPPWP7eq4mpsLBQM/tBMCYmKSXHjh1zlQHWC0Hs3r0biL6DWg+3i4lI84mfiEoQQojvCyE2AwObfA/qtQto2xW3HUK/UtTfXMOGDWPOnDnae7V5J4h2FfwgCLOHeMKECYwePbrF52pS82OznFVEkR5uVoVm0Kdmtppkunfv7lqDAHs+FT3UtXRKtnPmzGHLli3NPrNDEF59EPp+XnPNNRF3G3slCOOKPggndXV1NaFQyNX+JVX/wg3Z7t69m8zMTEcpcrxcz1jAjgbxHGFfwxJO7X+YAAyXUk4PsG8xh37FZ1w16ss5unHk6guxQPMbwqzcZ2FhIcePH/fkIDeaJq677jouvvhi0996MYsYZbPa1axHTk6OLwQRqRynQvfu3V0Xubn66qubjffIkSN59dVXIx6jZHc6dmYkZqcUZW5uLuBuM9mxY8eaaQzRQkL9Jgg7GoRTH4QyOZ5//vmO+yiEcJV7rbGxkb1791JcXOwoasrtc2d85oJCVIKQUpZLKXdLKa8HKoCuhBP2DRFCXBJ0B2MJPUEY1dMxY8Zo/7t5OIzagH7la+ZrUOUevdSKNhZfDyryxiibHRNTbm6uLwShnzisJplBgwaxZcsWVwEGpaWlzRYLF110EePHR94f6laDUP1fsmSJ9tkFF1wQ9bicnBxSUlIca5xSSn72s5/xz3/+E4A77rgj6jFBEYQdDcLu+CmidDJR6+GUIN5++20SExNZvny54wSbbq9nrMqiOqlJPQtYRbhew/80/f1lMN2KLaSU7Ny5s9lK0ahBdOnShSFDhgDuHg5VJERBv1q85pprWvxeEYSXG8GoQURaHXohCKNsdjQIVSnMK/QEYVXSctiwYZSXl7sq9L527dpm90WkspkKbgmivLyczMxMJkyYwAMPPMDPfvYzWyGTQggKCwsdBzWoGs0Kd911V9RjcnJygHBVPadwq0GkpqbS2Nho6gsygyIIt34npwTxj3+Ec4pWVVVp2pxduH3ujM9cUHDipL4dGAnskVJeSrgkaGxoLGA8/PDDnHnmmWzYcKrEhZmDS+V398NOrybvt956y7S+rFrte5lElQahcsdHq6MMsfNBqOgwr+3pCcJqAvnSl8IZ6d1EnxnPa2dVqmR36qQuLy/XJpi77rqLBx980Paxbmopq0p4CnbIKDc3l9zcXC1ixwlUfRU9lFYQiSDUd3avpzIxuc2h5rSsqv5ej6Slm6Gt+yCclBytk1LWCSEQQqRKKT8RQkROjXiaQJWd3L17N3369KGqqoqf/OQnLX7nJQZcH7kB0Xdd+pHQTpFQpJBMBRW94caObZTNrokJwpOil8RjdghCqf1uyHb48OGONQghBCkpKa40CLVCdwo3GsTTTz/d7L3dHcC9e/d2TBALFy5kwYIFLT63Y2LSE0SklCMKSus2C8awA6cahJ70gtYgQqEQr7zyCsOGDXPUjls40SD2CyHygEXACiHEYiCY0mcxhn5iKSoqorS01HQAvKRQMBYqsdpFreAHQSgNQq2kItlwhw4dSkpKCqtWrXLcjlE2u05qwLMfQn99rMIavVzLnj17NiMIu3ZtNwRRUVHheIJRcEMQ27dvb2Yzd0IQKqTTLlR9bCPULudICwqnJjtFEMok7BReCoQ5HT+nGkRJSQnXXXddIOUAzGCbIKSUX5NSHpdS/hL4BeHyoLFJKRgw9BNANFsouNMgjA9INA1Crfr90CDsqNqZmZmcd955pnskosEomxMNwk+CsNIgFEG4aWvx4sXNzmtHg4DwfeRGg/BKEE4c8VVVVc20S7vkV1xc3MJ/EQ1W98OKFStYtWpVxOvq1MR0+PBh8vLyNOe7UzglCP195dTE5FSDUPf7HXfc4SpNuFM4qkmtIKVc2VQ8KDYZowJGtApoCl4IwohYaBDKDKDy+kcLYezatasvjmM7BKE0CK/t6R9OK4JIT08nISHB9bX8yle+ov0fpAbh1cRUV1fnyHZeXV3teEKD8CRYUVHhiIys7ocuXbpYhl4ruCEIL2ZLpz4IvcPerYnJ7pyiD3t2qsW5gRMfRLtDKBTi2LFjzQgiUty5EMJ1YZ2ioqJm7+1qEF52G8+ePZvu3bvz+9//nj59+vDDH/4w4u/dqtZG2erq6qLaioMwMVkRhBDCVT4fCMumD0m2q0GkpKQ4dlKrGuhuoCbEw4cP20pvHQqFqK+vp0ePHo7Llaq6zXbGWSGaydHOsU4Jwnhf2oXT50C/yLHj79PDqdla/zs3+zycwpUG0V7w85//nMLCwmahpNE2JqWmprrSIIyx8+pmtyKIpKQk0tPTXa96//73v/Pxxx8zefJkcnJyuOuuuyJGMYF7gjDKVldXF7Utv6I37BAEuN+5bZTNCUE41SCqqqoc1S7QQ08QdqDG+cILL3TclpvFi50d4VZwQxAFBQVR96tYwelzoNcg+vbt66gtpxqEvl92ydkLnOyDEEKIGUKIe5veFwshzguua8HjzTffBJrn84lGEGlpaa4mtblz5zZ7ryYPv9McK1x33XWAeU1oK7it0WCUzc7K0q+wWjtOanB/Lf/61782ex8UQUgpW/gEnEARhF7biQQ10XzyySeO23LjH/ODIOxez2PHjtGpU6cW96VdZGZmUltb62jfxYQJEzhy5IitjY16JCYmkpSUZPs5UOP26KOPOmrHLZxoEH8BLgCub3pfCTzue49iCJVRUo9oNlm3Jib95NXY2Kg50PwulALNV1pOCaKurs72g6FgnJhra2ujahB+EoRywkfTINxcS/1u9F69evGjH/3I1nFOndT19fU0NjY6Gi89nGoQaiHgxvTjRoNwmlVVD6fJDysrKzUzmBsoLc6ufPv27aNXr16Od1ErOLFKqEWEk6JEXuCEIEZJKW8B6gCklMeA2PQyIJhtDApKg9CvPP/4xz9q6RSC0CD0xziZcNSD77S2sXFVbUeD8BIyrEdlZaVG6pEIwq0PQj/JP/3007Z9BE41CDUZuSUIpzvv1Uo0GpGbwSlBnDhxokUJVSdwYmJSmlhOTo5tbc8I5buwk7+rsrKSY8eOUVxc7KotCI+BEw0iKyvLtWxO4aSVE0KIREACCCEKAHcU3QYwf/580zAxOwThpahOKBTiySef1D6PtBLIzc11ldLALUG4TXVsLF4Saw1CEUQ0E5NXH4STVbBTJ7W65m5NTKmpqaSkpNietNXvvva1rzluy+kK+8Ybb+SDDz5w3I6CE4Korq5GSkl2drbrojqqnkO0lNqzZ8/m73//e7Nj3MCpBpGZmdkmCwY9ArwCFAohfgO8CzwQSK8CxpEjR/jmN7+p1UjQIygn9dKlSwH41a9+1ayUaCQNonv37q7yyegnwlgQxOLFi9m/f7/23o6T2g+CaGxspKqqyhZBZGZmOtaM4FR6FXDWV6cahLrmbjUIcFaESbW3ceNG+vbt6yjix6kG8be//c32uc3ghCCU/NnZ2doz5xRKG4hGEDfffDM33nhjs2PcwI0G4VY2p7DtOZJSPiuEWA+MBQQwSUrpX9HkGCJSum6lqlvBLUEcOBDedL5x48Zmn0dalRYVFXHgwAGklI4yU8aaIB5//HFWrFihRY/YMTGph94LQagJasKECQwePJh77rnH8rduI7T0G8KcHJ+SkuJIY1GyuNUgwJlJUrVXWVnJ9u3bHd1ffoRgO4FbglDPnFN0796dxMRER0V5os0bkeDEr1ldXU1mZqZr2ZzCkSFLSvmJlPJxKeVjQZCDEOJKIcQ2IcQOIcTP/D6/QqTBUDWMrZCcnOw4vh3CRdT379/vKJqjqKiImpoax6YRryamu+++21F7ynxw5MgRtm7dSigUiqpBeNlToqDk7NSpEyUlJRHV/IyMDFcahH4x4OR4p05qvzQIu5O2it1PSUkhISHBFUG48emsW7fO8TFOUm2oZ8VtuDCEF20FBQWOUpd4GTcnfk1lYooVbM9WQohUYDLQR3+clPJXfnSkyb/xOOHSpvuBD4QQS6SUH/lxfj0iTUrRbqzk5OQWdRaiIRQKMWfOHFasWNEisV0kKLX/wIEDjnZo6gnFSUZLdePpzSrR8OGHH2p+kmPHjmlx9Xacn261MQU1QdlxHCsTk11t7NNPP6V3794MHBjOR3nppZc6ste7NTHFSoNYv349WVlZzJw501U7YI8gjM+ak/tfwa0GMWrUKMdtKUS7lsZd5F4mbacaRFFRERMnTnTdnhM40SAWAxOBEFCte/mF84AdUsqdTSk8Xmhqz3dEGoxok4cbDUKt6nbu3OlIg1DajFN10q0G4SaiZfr0U0UFL730Uu1/O5t4/NIg7KwWMzMzkVLaIqRQKMTAgQO5+uqrtXQGixcvdrQxyamT2msUEzjTIN555x0uvPBCV6VY09LSSE5OtpUmxQ8zlBuCyMnJaeYXc4poNdONfYm1BuFFNidwQhA9pZRTpZS/k1L+Qb187EsPQJ8BbH/TZ77Dy6TkhSDAWREZvQbhBHoNwk6Of4URI0ZoG33sakn6KCy9bHY1CLdj8dhjj1FSUgLYqxGuNCk7fgQlxxtvvMG2bdtITk52vLI/ceIE27Zt41e/sqdgqzKmQWsQNTU1fPLJJ+zZs4ezzjqL9evXO25HCEGnTp2ipobftWuXp4qICm41CDeyKURz+OvvdVXH2i2cahBZWVmeZHMCJ1KtFkKcI6XcHFBfzJbuLbKBCSFuAm4C6NatmzZJnHfeeRQUFGjmkeLiYsaNG6ftpkxJSWHmzJksWrSI1atXa+e79tprufDCC3n66acZNGgQe/bsYdmyZUB42/wll1zCvHnzgPAkk5yczNGjR7V2p06dypYtW7RiNGPGjCEpKUmrMTFgwIBmJpBt27Y1k6ekpITp06fzwQcf8OmnnwIwduxYQqEQy5cvB2D16tVcc801vPjii0B4QpwyZQrz58/X7OIzZ85k1apV7Ny5U9shDvDSSy9RVFTE0KFD6devHwsXLgTCG6smTZrEvHnztJt91qxZjBgxgn//+9888sgjzJgxg9LSUq161fDhw+nZs6eWvbWoqMiSgN577z0aGxuZOHEi+/fv125o/TjV19eza9cuGhsbTcdJ2YAnT57Mjh07+PDDD6mqquLSSy/l1ltv1do6dOgQDQ0NzcZpxowZLFiwQCseozTDuXPn0rlzZ9NxGjlyJM8++2wzX8ORI0dIT0/nr3/9q+U4qcI7gwcPZsiQIbz44ota9Nl9993HGWecoRGufpwAzj33XLZu3cpzzz0HhFNwZ2RkRB2n5cuXa07Uq6++mtLSUr744gu++OIL1q9f32Kcxo8fz9y5c/nTn/7ERx99pF23wsJCSkpKIo4TtHyeEhISOHbsmOU4nThxgh/84AcMGDCg2X0RbZzMniel5axYsYKePXtq4wRhTWHatGm88MILVFRU8NZbbwHh4lBHjhyhpKQk4jiB+fOUmZnJjh07tOf8iiuuoLKyUps7+vTpo8mUnJzMokWLbI+T8Xk6ePAgZWVlLF26VBunxsZGEhISmDVrFkuXLtUWiVVVVVRVVWmyOZn39ONkG1LKiC9gM7AJ+Ag4AWxrer8Z2BTteLsvwru0l+ne3wXcFemY4cOHSzd4/fXXJWHykT/72c8cHXv99dfLM88809ExH3zwgdbeiBEjtP/Dlz8ycnNz5W233eaovR//+McSkPfcc49sbGx0dOyCBQskID/88ENbv+/Ro4ecMGFCM5kA+Ze//CXqsWeffbacPHmyo/4BcvDgwVo7PXr0sHXc888/LwG5YcOGqL89fPiwdv6hQ4fKwYMHO+qjlFIePHhQTpkyRQKytrbW8nfFxcVaWzfffLPjdvS4+eabZZcuXSL+Rj9GDz/8sK3rYYbzzz9fXn755Zbfl5eXt7gn7NzvZti/f78E5Jw5c6L+9p577pGJiYkyFAq5lk1KKadOnSoHDBhg+f0XX3yhydSrVy/X7Ugp5XXXXSfPOuusqL87efKkBOS9997rSTYppQTWSRvzsh0T03hgAnAV0A8Y1/Refe4XPgD6CyHOEEKkANOAJVGOcQW9OmcsdhMNbkxMelX1+PHjXH/99RF+3Rwq1NUJKioq6NatG/fff7/jwu0qXUBZWVnU3544cYIDBw5w5plntvjOjgPTqYlJNjkG9aVDBw0aZOtYZSNWBWoiQT++H374oasUCqDJrUAAACAASURBVF27duWSSy4BIl8LfSilPq24GzhNU52bm+s6PDOaicnsGXHjEAdnUUyHDh2ioKBAi0Ryi2jmOn1fvEYV2fVB6CtEepHNCaIShJRyj5RyD3Cz+l//mV8dkVKGgB8Ay4CPgZeklO6KCEeBflIaOXKko2OTk5Mj7qMwg/6hVTZEu+jevbsrJ7XbtNHKnq9U/kj4/PPPkVJSVlbG8uXLm1Xw6t+/f9TjnRKE2QRhNxupk2guYzs7duywfaweTmt6dO/e3VU7Crm5udTX19u+prm5uY4i1vSIRhDGa7hx40aeeuopV2058UEcPHhQq3/iVjaITrZ+EoTd50AfyOBFNidw4qS+3OSzq/zqCICU8h9SygFSyjOllL/x89x66AdDFbS3C69Oaju7jPXIzc11HG9eUVHhOg5c7Uq2E6GiVr+dO3fm8ssv1xLZPfHEE7ZCQp0ShHGVdfPNN/PjH//Y1rFOHmLj+J53nrukxYqkY0UQitzt1hV3W70OwveJE4Lw4nxXBPHMM89ELVJ06NAhunXr5rotBRXFZNVea2gQfuyVcYqoBCGE+L4QYjMwUAixSffaRdgXcdpBDcbSpUsdh3bGmiDcbPDyUnjGSQoMRRBKc7jhhhvYuXMn3/72t2235YQgjJFVjz/+uG0idBLNZRzfZ555xvaxejjVILxObIog7JgHIUxgblNEdOrUiePHj1tOoMZr6GXjmiKIjRs38v7770f8rV6D8JL+IisrCyml5bOnJwgv5Af2nwP9XhkvsjmBHQ3iOcK+hiVNf9VruJRyRoB9CwxqMOzYo404HQhCpTt2AzcEMW3aNCAcKXTGGWc4asstQfTr18/2ceBs1aV/+IUQrq+lHYLQ5+LyWgDGiXkQwhrEuHHjXLWVlZVFY2Oj5fgZNQg3pU0V9NdIJcczg5SymQbhVjaIXse8NTQIvYnJi2xOYMcHUS6l3C2lvN7gg7B3F7ZBqJvayapSwauTWkpJWloazz33HC+99FLUY9PT09usBlFaWkp2drYWoummLSc7qRVB3H///VFXkkYMGDCASy+91NaYq/G99tprue+++xy1o0c0E5N+9b1mzRrX7ShEIwjjaj83N9d1UR3l07Gzws7Pz/dUv0AfaBGpINLx48dpaGjQNAi3ssGp7Kzbt283/d5vDaKxsTGqb1OvQXiRzQk6ZMnRWBOE0dmVlpbG9ddfz7XXXhv12IyMDMepPbw4qZ0QRE1NjafVk1PZ1G/POeccW5vjjBgxYoSt36nxvfHGGz35BaKtQmtqajhx4gQPPfSQp7QQCirayoogjGQcLXNxJEQjCP0z4rY2tB4vvfQSeXl5EX1jijz88EEMGzYMCOdQM4OeINw+awp2y+/6sdveKTokQaiBcJNaIjk5GSmlo6prxlrDTk1MDQ0NjiKnvDipExISbJdArK6uJiMjw/Xq0GmGVUUQbsYNwknY7FQZUw9/SkqKp5VvNBOTIg6vE4xCNB+EkYzT09Ndy+dEg/DqfIewNjd06NCIiSvVhjqlQXgZu27dutG1a1c2bTJ3s/pJEHYXZRs2bCAhIYFevXrFrKJcm0nWF0vU19drE6FT6EPu7BaQqaqqIj8/n9raWkKhkCPNRdmla2trbU36a9eupaGhwdPq0K7pp6amhoyMDNfx7RkZGa4Iwq2tPjEx0Raxq9VvcnKya9nglOnBSkb9rl0/kJWVRVJSkqUGYaateRk7iB1BQHgijpSC26hBeBk7dR4rsvWTINT9XFNTE3HPzaJFi7j44ovJz8/3LJtdtKVkfTFDfX29K/MSnCKIV155xfYxlZWVNDY2aoTkVIMAe7mRysrKNFOFWkW5gZOoiszMTBYtWuSqHVUc3m7tYD8IorGxMWqopJ4g3MoGkJSUREJCguW1VJOrkz0akSCEICsry5KQzO4ht/I5MTGZbaR0g9zcXFsmJnXvexk7CE/8Vu35SRDKgR+peuTRo0fZvHkzl18e3m3gVTa7cLKE7imlvDKwnsQQfhDEN77xDds7oquqqkhMTPREEHYc1XoHXiwIQmkQTvLm66FWzrW1tbZW0Uqr8UIQEK48F0n705uY3MqmEOlaqgnbL4JQ57K6V8wIwq18TjSIG264wVUbRuTm5kY0MR05ckRLJAjuZdO3Z5U11c8oJjvRZyooY/To0YB32ezCiQaxWghxTmA9iSEGDhzoOkwsUolQK1RVVZGamuqKIPTqZzTob5rCwkKHvTwFJwTh5eFwWsFOEaBXgohmZtJrEF6RkpISMw1CncvqXtGbDfXJDt22A9EJYunSpVGLcNmF0iCsNMCjR4+Sl5fnqHa4nfbMoCeIWIQnq+SOZ599tqe2nMKJBnERMLNpg1w94eyrUkrpbCtyG8Att9zCLbfc4upYtwRx5plnUlpaCrQfDUI5qR1lh9TBiWw1NTXcdtttQPAEoR7+5ORk17IppKamWuYQijVBKA3i9ddfZ+zYsYDDzJ6GdiC6ialv376uzm+GnJwcTp48SW1trek1O3r0aDMbvtexi6SxOE1tHwl2CEJFMClzllfZ7MIJQfiaVuN0hRuCiJUPQk8QsdQgduzY4SqhnRMNQr/vIVYaREpKimvZFCJdy9YiCP3951Y+uxqEn9E2KjVIeXm56TUrKytrFv7sdez0Gosx6aWeINyaqxXsEERlZSUJCQna2HmVzS5sm5iMifp0Cfs6FNxqENXV1THzQdx2222eHkynGsSHH37oqh0nBKGv4RFLE5Nb2RTakonJzMnvVj67BOGHmU5BTxBmMGoQXscuNzeXUChkujjTj6lXJ7V6Du68805LbbOqqoqsrCyNqLzKZhd2cjG92/S3UghRoXtVCiGsPUbtFE5v+GXLllFWVubaB6EeRDtpnA8fPky3bt3485//7KiPRsTKB+GE/FQBngULFrhesbkxMXlFWzIxeXXyG9uB6CYmPzUINRFbmX2MGoRf7ZkRktpz8cgjj9jegGkFvXZitTFPEUSsYSfVxkVNf7OllDm6V7aU0p8dPqcRooVI6rF9+3auvDIc+NW/f3+NIJzsv1Ax5J9//nnU3x45csSXPPGRVr0KJ0+epK6ujoyMDC2ywimcaBBVVVUUFxd7sr26MTG5lU2hLZqY9AThVj61yGktE5MZjh492owgvI5dpPb27dtHv379uPXWWx3XXDHD17/+deDUQsgI42Zbr7LZRYfcSe0F+kiQaPH7+omvoKBAIwYnu6ILCgpIT09nz57o1rwjR46Qn59v+9xWsKNBqMkmMzPT9a5tpwThdQXlxsTkJQsp2DMx+bGiV4iUvsSMILzsuO/SpYvlxrVYm5hCoRDl5eXNTExex061Z6ax7N2719eMqrNnzwawDKs13v9eZbOLOEE4hJ4gok2i+hQL1dXVzJ49m3POOcfRxiEhBMXFxRF3kCrEkiBUEaOCggKthrdTqL6+/fbbUX/rJUOtghsTk1vZFCJdy8OHD5OcnOzrJBopuaOZk9qLfGPGjOHNN9801aqD1CDMJmxVm0KvQXgdu0iE5DdB5Ofnk5ycbGkpMBKEV9nsIk4QDuGEIPQ3VnFxMf/1X//Fpk2bHIfFFRcXtzkNQmW5tFM5zgpdu3blG9/4hlY8PhJaS4PwCisfxOHDh3n00UcdJ36MBqcmJi+4+OKL2bNnjxa+rYef11Ahkk9ARQD5GdljRRCq1K6fBJGQkED37t0tCaKysrJt+iDiaA59Zspo+YrUSufOO+/krLPOct1m9+7dI6Y5hvCkV1ZW5osPwglBDBgwwFOs+xlnnMGxY8eimutiTRCJiYkkJCR4juO3MjEpJ6ffUARhtqqvq6sjISGh2aTtRT51rNnipaGhQbuGfkFpkGYTtnq+9BqE17GzIogDBw4gpfS9aE+XLl0sq/QZ738/95dEgu3RE0KkCiG+IYS4Wwhxr3oF2bm2iClTpjB9+nQgugahCOJHP/qRVsDeDaLloIGwii2l9EWDSE9Pj7rvYtu2beTl5dGlSxdPsnXu3BkpZcQUChA7E9OKFSvYvXu3ZhrxIhtYk61a5dstmWoXGRkZSClN26ytrSU9Pb2ZU9WLfKpmgpn5s6GhwfeMo4mJiWRnZ7e4V/R2e70G4XXsrExaSl6/CSJSvXujk9qrbHbRIZP1eYEQgquuCu8ZtGtiysnJYd68ea7bzMvLo6KiIuIq+8iRIwC+EESXLl04evRoxPa2bNnCkCFDEEJ4kk3lzYlWRzkWGsTmzZsZN24czz33HNdddx2AJ9nA2sSkHPPXXHONp/MbYbXKhjBBGM2bXuRTE6SVBhFESmqzBHr69vUahNexU/ebsb1YE0RpaSkHDx6kZ8+e2mdeZbOLDpmszytUHL4dE1NiYqJnm29ubi5SSqqqqiw35fhJEIWFhZw8eZJjx46Z2nSllGzatIkZM7xXnNXvIo1UrtQPG2w0gtCPpwpP9gorE1MQIa5wKsXKoUOHWqRbURqEX8jLyyMrK8tUg/C7LYXCwsIW5rndu3dr//u5D0JpLFYE0atXL9/agnD4uxlBLF26lMbGRiZOnOhre3bQIZP1eYVahdnRIHJzcxFCeJoIosV/A5qj0C+CAOuMkfv376eiooIhQ4YA3iY5OxpEKBSirq4ucBOTfn+K8uV4ncCtTExKg/C7OpiqhWDm4zCbtL3IJ4SgoKDAtGaCyvTrN3r37t1CY9G/V88K+EO+ZubdI0eOkJmZ6bt8SUlJpkELu3btQgjBOeecmn6DuLZmcEIQFwHrhRDbhBCbhBCbhRDm5ZbaOexWgNLXhvay2rZDEH5rEGBNEGryUSqvF9nUii8SQSgbcNAahH48FUF41ZLaEkHU1dW1IAiv8uXl5ZnWMQhKg+jduze7d+9u5oQvLS3VEuvpneJ+aLhmBKEWfn7DysSkdojrs9T6IZsdOCGIq4D+wDhgAjC+6W+HgxMTkyKIBQsWuG6vrRGE0lbU77zIpjSISInKVB6mL33JW+LgaASh9xUogvAiG4RNTGY+iKBMTE41CK/yWRFEUBpEnz59qK6ubna/qB39Rg3Tq2wQvg+Mz0FQBGFlYjpy5EgLU68fstmBo2R9QB5hUpgA5HXEZH3g3MQEkSfAaLBLEJmZmb6s2qIRhPpcTaJeZFPniBT2+eabb5Kens7FF1/suh1wpkEoovUiG8Reg8jKyiIzM9OSIIxOaq/y5eXlWTrEg9AglNaqj1yqr6833VvkVTaAHj16tNibcPz4ca0KnJ+wMjGVlZW1IAg/ZLMDJ2GutwPPAoVNr/lCCG9VR05TqJsxWiioXoPwArs+CL82CalVvVUJREUQXlKKK6SkpNC1a1fLFAMQJr+uXbt6TqvsRIPwa4NXWloaJ0+ebPHg19TUIITwXEvADPn5+aZ+gSAm7dzc3JhqEOpZ0GcpqKurC+Q6wimC0Ju0WsPEFIvU3mZwYmK6ERglpbxXSnkvcD7wHT86IYT4vRDikybfxitCCP/p2UeoVW+0sn96gpg6darr9qJlsZRSsn37di0u3StSUlJIT0+3JIjS0lLS09O11a8X2SC8KoxEEH5NbHY1CFWYCLzLZuVjUanS/Uj0ZoSV2cfMB+FVvlj7IMyeBasSwl5lgzBBNDQ0aCZcCC+cYmliMiMIP2SzAycEIQD9k3Wy6TM/sAIY0lSd7lPgLp/OGwgKCwtJSkqKOKlB85XGli1bXLennLNWSe2uvPJK1qxZw4ABA1y3YUSkzXmHDx+moKBAm9y8yAbhcMG2QBBKg/j+97+vfeZVNmWqMqajqK6u9t28pOBk0vYqX15eHpWVlS0mNquqb15hRhBWGoRX2QCtXKr+/gzSB2HXxOSHbHbghCCeAt4XQvxSCPE/wPvAk350Qkq5XEqp7rA1QM9Iv29tJCYm0qNHD/bt2xfxd3oNYuvWra7bUxOJVU2I5cuXA/hqF7WaZCAsl/4B8SIbRNcg/DJX2NUg9Bu8vMqmCEK/AgXvtTQiIRJBGCdSr/Kpe86o3dbU1ASiQShHtB0NwqtscCrX2Mcff6x9Vl5eHogPwszEFAqFqKmpadGeH7LZgRMn9R+BG4Cypte3pJR/CqBP3wb+GcB5fUW0Sa2+vp76+npffBCJiYmkpaVFLRp0/vnne25LIZIG4ffklp+fz/Hjxy3TDMRag/Dq69DDiiCqqqoCIwgrv0BQPgho6R8LWoOIlQ9i0KBBpKamsmHDBiAsV319fcxMTOqZb41EfWBjJ7UQ4l0p5UVCiEpAojMrCSGk3aJBQojXgW4mX90jpVzc9Jt7CKfyeDbCeW4CboJwSF9JSQkA5513HgUFBbz22mtAeBv8uHHjmDt3LhBeFc6cOZNFixZpvoPJkyezY8cOrXzf6NGjyc7O1lLp9u3bl0suuUTb1p6RkcGMGTNYsGABdXV1bN++nfLycrZs2aIx+pgxY0hKSmLRokVA2BxTXV1NXV0dJSUl5OTkMG3aNF544QVtFTR9+nQ++OADPv30UwDGjh1LKBRi5cqVAAwePJjMzEzWrl1LSUkJnTt3ZsqUKcyfP5+amhoKCws5++yzyc3N1a7HFVdcQWVlpRYiOnToUPr168fChQuBsJls0qRJzJs3T5sYZ82axfLly9m7dy+VlZXU19ezceNG1q5dC8Dw4cPp2bMnO3fuJDExkaVLlzJ+/Hjq6+spKSkhISGBWbNmsXTpUi0d+MSJE9m/fz/r16+3HCe1Onr00Ufp1KlTi3GqrKwkJSVFk83JOKloj6lTp2pj9Oqrr1JcXExSUhJvvPEGEE46qMbjxRdfpKioiGnTppGQkKC1a2echgwZomWn7dy5MxdccAEAr7zyCmVlZcycOZNVq1bx0UcfEQqF2LNnj6dxArj66qspLS3VxqmhoYHjx49r/S4qKmL8+PFUVVXx6aefMnfuXG2c1H1pZ5zMnid1TefNm8dtt92mPU9VVVVUVVWxZ88ex+Nk9jypcerXrx8Ab731FtnZ2eTk5FBfX8+RI0dajJOSzc446Z8nQBunnTt30rVrV9asWcOWLVt4+eWXtWtcVlbmaZzU87R48WIgbMY6ceIEc+fOpbGxkcbGRi666CIANmzY0GyclGxu5z3bkFK2iRfwLeDfQIbdY4YPHy5bC7NmzZJFRUWW3+/YsUMC8umnn9bee0GfPn3k//t//8/0u27duslZs2Z5Or8R1113nRw4cKDpd8OGDZPjx4/X3nuV7emnn5aA5Xn69+8vp02b5qkNKaV8//33JSCXLl1q+v0f/vAHCcjy8nLtM6+y1dbWSkDef//9zT4fPny4/OpXv+rp3Fa49957pRBCnjx5UvussbFRAvIXv/hFs996le8f//iHBOSaNWu0z0KhkATk//zP/3g6txWys7PlD3/4Q+39wIED5XXXXdfid15lU5g8ebIcNGiQlFLK1157TQLyvffe8+Xcetx+++0yNzdXe//jH/9YEl6Uy+eff77Zb73KBqyTNuZYJ2Guv7XzmRsIIa4E/hu4RkoZvUBxG0BGRkbESmgqzFCFjKoVkFtkZWVZmpiMmR79QKQNUIcOHWpmPvAqm9IgrHwesY5i0puYvMqWlpZGVlZWCxNTUI5OCF9PaciQq2QzXkev8pn5x/yuO2FEdnZ2MxOTlQ/Cq2wKXbt21dLtf/bZZ0Aw6baNJqa33npL+99oYvJLtmhw4qS+3OSzq3zqx2NANrBCCLFRCPF/Pp03MPz/9s49Tqrqyvff1Q+xaUBEnrkCPhoYQR7y0Ay3R0UnPsYnE4wGdSRq9ONrzE0yYpybiRPNNZ+Myc2MYqLXuWhi1IyKYmJm8EadIKIRgUbUKI2ihMaGlozQAt009Lp/nLOLU1Wnqqu69qnH6f39fOrTXadP1dm/Po+119p7r5WtMAscrCFtZkEUSn19faiB6O7ujqSgeaYxiLFjx9LS0mI1vtyTgbA1SG3SMGTKUmseojaL3IA3DhFmIGyMT4VhDE/w/xlWTc4GYWVjo1olbhg0aFBOs5hsMXLkSP70pz/R2dnJpk2b6N+/f1oiRBukGgjTuYTyHoO4DrgeOCYl99JAYKWNRqhqg43vKSb9+/enq6uLrq6u0AeKGcA2BqLQKaiZPAhzM0bhQXR0dKT1zsyDLnjzF6qtp4V5tj2ITAsc9+3bR21tbVI+HxtTh4cNG1ZUD8I8tIMdGNMDTp0uaeO6hGQDYVZxR/EQBW/MIPj/zORB2Jr2bdKXbN++ndbWVkaNGhXJ+pXa2tqkaa7BdVapBsLmlPZs5OJBPIqXWuNZDqbZOA+YoaqXRti2ssbchJkeNi0tLdTW1iYW1c2aNaug4w0YMCA0pGVcbds9DNOrzzSTKWggCtVmjhWWsE9VrRuI+fPnh3oRYQ+aQrVBugfR0dHBvn37imogzDTNiRMnJu1bqL6wEJPpHAXrF9jEJOwzZPIgbJw7OGjoWltbQ9Oo26KmpiYxOA3Ja2dS729b2nqiRwOhqjtV9UNV/TKwCxgBjAWOF5HilDUqQ8wDMtM4REtLC5/73OcSvdFf/CLjxKycyORBmG22PYiwMEWQ4A1ZqLZsIaYLL7wQsBOuCGbDDM5rN4QVuSlUG6QbCGN0ozIQqdfm/v37+fKXvwyQVvq2UH1hIaaoDcTRRx/N5s2b2b9/f6J6XpgHYePcwUEdH330Edu3b7eSYiYMk27+wIEDdHd3J10zqfe3LW09kc8g9dXAcmAZ8I/+z9ujaVb5Y27CTOMQW7ZssTb+AJnHIErlQfRU1zkfBgwYQHV1daiBePbZZ4HM4wb5EDQQZlppkEwPmkIZOnRoUm+wWAbCXJu///3v6ezspLq62vp1kslAVFVVJUIztjn66KM5cOAALS0t7N+/n+7u7kjHICZNmkRtbS2rV69m27ZtkRkIE6ru6upKWxdUqjGIfAapbwZmAR+p6hzgBKAt+0fiS08GoqWlJclAFDog2ZMHEcUgNWT2IIIZSgvVJiIMHjw4a02IsB5/vvRkIMI8CBsDyUOHDmX37t2JcKTREtUDNPXaXLNmDUBi/UaQQvUdcsgh1NbWJgyEqvLSSy8xevTopAJMNjEziDZs2JCYDBJm2G1NAujXrx+TJ0/mhRdeoK2tLdIQE3geX2q21tRFlVFNcEglHwPRoaodACLST1XfBSZE06zyJ6znZFBVWlpaklzsSy65pKDjmTGI1J60qUlhe0phTx5EsBZGodrM8cKMkelVXX/99QUfozcehA1t5jowC6YeffRRRowYwSmnnFLwd4eRaiCampoYNmxYaElXG/qC3u2GDRtYsWIFN90UXaLnqVOnAp4uEzoL82htaDOcdtpprFq1CvAWHkZB0ECYztJtt93GwoUL04ytTW3ZyMdAbPGzrD6DNx11KbA1mmaVP9k8iJ07d7Jnz54kD+Lxxx8v6HjGQ0gdFDcPatsudj4eRKHaINxAqJ9ieeHChYkVyYUQNBAbNmxIM+5h+YNsaJswwetHvffee4AXy54yZYr16bSG1EHqLVu2cMwxx4TOvLGhr76+PvG/NHFzU442Co444gjGjBnDmjVrEquSzzjjjLT9bGgzzJ8/H4DGxsbIqrkFQ0zGQJx99tl8//vfT9vXprZs5JOLaa6qfqqqtwPfBv4VuDCqhpU72QxE6hRXyJyqO1cyJeyLykCEeRDBXtq8efMSvxeqDbyprqkhpp07d9LV1ZWYCVYoQQMBpBWCCVtwaEObMRDvvvsu4M3WCs5xt03qIHVYRTKDDX0DBw5MfI85h1HqA88ALVu2jO7ubu677z6mT5+eto8NbYYTTjiB5uZmli9fHtl4gPESpk2bxooVK4DMCThtastGPh5EAlX9nao+q6rptRT7CNlmMTU3NwOEuvS9xVyUxTIQ5njBC9F4Lz/4wQ8466yzrB4vzIMwA7u2DERqKuXUZIvt7e2R3PyDBw9m5MiRRTcQpvPyySefWClFm4khQ4YkDEOxDMSYMWMSx7I5GSQbDQ0Nkax/MBgD0drayh133AFE/3/siR4NhIi0i8iukFe7iBTHjJUh2cYgmpqaqKqqYvLkyYltl15a2JKRYhsIU+0sGNLKlEKhUG1QHAMxatQoZs+enUjqlmogwjwIG9rAm166YsUK2tvbIzcQtbW11NTUJAzEjh07MhoIG/qGDBmSGFQ1D+0o0mEHGT16dOL3TFO8bZ27YhEWcsx0nRRLWy7rIAaq6qCQ10DNMZNrHMlWBrSpqYkJEyYkzd03A1y9xRiIq666Kml7VAYCPEMQZiBS1yQUqg3CQ0zGQNiaVlhbW8srr7ySiCGn1vMI8yBsaAOv99nc3MycOXPYv39/5D1Dkwqmo6OD3bt3Zwwx2dAXNBDGyBfTQGSa0WPr3BWLsFlfmSafFEtbr0JMjoMXZdggbktLC0cddVTStrAphvlgPBaTjtlQTANheqSpF22h2sCb6dPR0ZFUKcu2B2Goq6tj0KBBaVXe2tvb03qjNrTBQQNvzl/UBqKuro7t27cnkkZm8iBs6Ev1IAYMGBDZALwhFw/C1rkrFmEGIlNIq1ja8gkxtQdefT7EVF1dzWGHHRY6dz+14poNgj3b4AIaYyCiWOCVqwdhg8suu4yampqkFaJRGQhInnkD3oypKJIeGr71La+KrnkIRG0gurq6eOyxx2hqagLSczDZZMiQIbS3tydm3xQjbj5q1KjE78VaExA1QaN6zz338I1vfKOErfHIJ8Q0MPDq8yEm8G7yMA8iWGrUcPrppxd0rOCDKzjFtKOjg5qamkgWJeXqQRSqDbyHTOpDu62tjfr6+kjSRqceq6OjgwMHDqT1Rm1oAy9MNn/+/IRxj/ohaupqG48lkwdh69yB5z3s2LEj8T5KgovVMnkQts5dsQjewzfeeCN33313xn2Lpc2FmAog0+rfMAORqZxmrgQfksFFap2dnZGlGairq0uaxmumhaauAC5UmyE1m2VbW1sk3gOkr0zPtCLdljZINgpRpWswnHfeAedAHgAAFUJJREFUeQB88MEHQGYPwoY+890jRozg1VdfTerdR0XQQ8/k0do8d8Ugn45QsbTlEmJa4f9MCi319RAThA+sdnV1sXfv3jQDYcod9pbgAyVoIKLMhZ/qQZhiKccee2zSfoVqM6QaiCinZ6Z6ECanVWpv1JY2IKlnHbWBMNefMRCZ/o829J122mmJ33fs2FEUAxGMzWeK09s8d8UgOOuxJ4qlLZcQU6P/Mym05EJM4SEms27A9hhETU0NDz/8MJAeYiqWgdi4cSMjR45Mywtji9ra2qSe0a5duyKbDZPJQESZFC3oQUS5LgEOXn/GQEQZ9hk+fHjSAyuqHFNxJypvuRDyyeb6sJ9qw7w/XET+bzTNqgwGDx6cllTLGIhUD2LSpEkFH88MRJfKg2hubk7zHsCONkj3IHbt2mU9jbkhNTtupgVetrSlfnfqqm7bmOuvpaWFQYMGpSUhNNjSd/LJJycecMXwIHLB5rkrFvfeey+LFi3qcb9iactnZHOKqia6y6r6XyJyQgRtqhjGjBlDa2trUkGbTAbCRm4aYwhKYSBUlTfffDORHC2Irbw7NTU1aQYiqhkqqQWYTA6h1J69zZxCY8aMsfZdPVFfX09VVRXd3d1ZvRWb+k499VSeeOKJogxSg9dhCdamTiXKfFBRccMNN+S0X7G05TNIXSUiiS6QiAwhPwMTOyZMmICqsnHjxsS2TAbil7/8ZcHHM4agWCGm/v37JwzEpk2b2LlzJyeckN4nsKEN0j2IsHUJtgiGmJqamrjooouA9MFcW9qARPbWqBeRgReXN9dgtimuNvUtXryYu+66i/PPP9/ad2ajoaEh9Ho02NRWbhRLWz4P+B8CK0XkSf/9RcD37DepcjB1YTds2JAYYDILk6IoBlPKENPbb78NwJQpUyI5FiSPQahqpB5EMMQU9IqiXC9QXV1Nc3Nz5IvIDIMGDeLTTz+NfLzDUF9fz6233lqUYzmKQz7ZXH8GfBHY5r/mqurPo2pYJTBhwgSqq6uTVjevX78eEUkr7WjD7Q4LMX322WeRLFyDZANhit6H5cK3FVIIehB79+4NXZdgiwEDBrB37166u7uTstSmGlvb4ZKGhgbGjh1r9TszYTop2YxescJBpcBpK5x8BqkvAv6oqvcChwPfE5H0HLt9iPr6ehobG3nuuecS29auXUtDQ0Pagy2YHru3hIWYNm/eHFnt37q6Ojo6OlDVrKuabWiDZANhYstRehCQuSKgwZa2UmA8h2weRCXr6wmnrXDyGYP4tqq2i0gj8AXgYeAn0TSrcpg7dy5vvvkma9euBbxykmHzmR955JGCj5UaYuro6KC1tTWyHql5ODc1NWVd1WxDGyQPUmcay7GF0bFnz57QjLwGW9pKgVltnM2DqGR9PeG0FU4+BsL44ecAP1XVpUD43Lk+xBVXXEFVVRVPP/00AFu3bg3NT99TTzUXUkNMJhtpVAbCzGefPn06b7/9dsZ52ja0QbgHEVWIKeiN7d69m8bGRl577bW0/WxpKwUm9JhtULyS9fWE01Y4+RiIFhG5H/gS8BsR6Zfn52PJ4MGDGT58OB9//DF79uxh165dkdWsTQ0xffjhh0B0BiI4n/2tt96KfCFPcJDahLSiyllkvLHOzk727NlDY2MjJ510UiTHKhXGQOzb12frejkKJJ8H/JeAZcBZ/nqIIcDfRdKqCmPEiBG0trby8ccfA+ELhRYsWFDwcVJDTGvWrAHyW6KfD0EdW7duzWggbGiDZA/ChOyi0mb+l5999hldXV0ZV4fb0lYKJk6cCCQntkulkvX1hNNWOPnMYtqjqktUtdl//7GqPh9d0yqHESNGsG3btqwGYvny5QUfJzXE9NprrzFu3LjIpmam6sh0UdrQBskGYtWqVRx77LGRexBmBXWmmWC2tJWCa6+9ll/96lfMnz8/4z6VrK8nnLbCyStEJCJTReRG/zXVdmNE5JsioiJSnInblhg5ciTbtm1LZDsNMxAmJ04h9OvXj+rqapYuXUpLSwvLli1jzpw5BX9vJlLXcmSaOWFDG3gG4p133mHChAksWbKEadOmWfneMIyBMKlSMnkQtrSVgqqqKs4999ysdZQrWV9POG2Fk88015uBXwDD/dcjInKTrYaIyGi82VGbbX1nsRgxYgSbN29m0aJF1NTUMG7cuEiOU11dzZ133smrr77KhAkT6OrqYuHChZEcC7zVuMGB2ygLtsPBfPimWlbqWhKb5OpBOBx9mXw8iKuAk1T1H1T1H4DPA1+12Jb/DdwCqMXvLAqNjY0AvPzyy0ydOjV0ZfOZZ55p5Vi33HILQ4cOZffu3Vx11VUcc8wxVr43E2bgNltyOVvaUlcYR6ktVw/ClrZyJc76nLbCySfVhnBwqiv+71a6lCJyPtCiqut66qWKyDXANeCFdh544AEATjzxRIYNG5ZYtDZmzBjOOOMMHnzwQQAOOeQQFixYwDPPPMP27dsB+OIXv8jGjRtZt24dALNnz2bgwIEsW7YM8B5QJ598Mg899BDg9TIvu+wynnzyycSD5eKLL+aII45g3LhxNDc3M378eN5//31eeOEFwEvHMWvWLJ555plELeRLLrmExx9/PDHX/9JLL2XVqlWJnvPpp5/O/v37EymUJ02axPHHH5/Iv3L55Zfz6KOPMnHixIT+BQsWsHz58oTreeaZZ9Le3s7KlSsBmDp1Kg0NDTz11FOAl6L5wgsv5KGHHkrMcrn66qt5/vnn2bzZc+LOOecc2tra+Na3vsWgQYNYvXo1Rx55JEuXLgW8VdXnnnsuS5cu5dBDD6Wqqoqrr76aX//612zduhWACy64gC1btiRWm2c7T8GcVgDvvfceDzzwgLXz9NZbbyVShphxmxdffBHwUpnv3r07UfLUnCdzjN6cpyFDhjBv3jweeeSRxLTEKM/T66+/DsCMGTNCz9ODDz5Id3d30nl6//33qaury+s8QbT3U/A8nXLKKdTU1KTdT6nnKex+WrduHXV1dbE4T6n304oVK6irq+v1ecoZVc3pBXwdWAfc7r+agK/l8fnfAm+FvC4Afg8c5u/3ITA0l++cMWOGlguNjY0K6OLFi0P/fv/99xe3QUXElrYbbrhBAb3uuuv0nXfesfKdmVi/fr0Ces011yigy5cvD90vzudNNd76nLbMAG9oDs/YnD0IVf2RiPwn0IjnOXxFVdfm8fm/DNsuIpOBowHjPRwJrBGRE1W1NdfvLzVmUVmUA6txx4SYDj/8cI477rhIj2VCTCbNd5SFghyOSiWvdN2qugZYY7MBqroeb9AbABH5EJipqp/YPE7U/OQnP+Hss89m6tTwyV2ZtscBW9rMAsBipMM2BmLJkiVA5iI3cT5vEG99Tlvh9Ol6DjYZOnQoV155Zca/NzQ0FLE1xcWWNpN+u5gGwpCpRnSczxvEW5/TVjhllypDVY+qNO8hF8xgVhyxpc0kzYuilkYqqQaiqir8VojzeYN463PaCqfsDISj72IMRDHGA1INhMPhSCdvAyEiXxCR/yMi0/z319hvVvzIFMKIA7a0GQNRjEVrQQMxe/bsjPvF+bxBvPU5bYUj3oynPD4g8jTwFeB/Ar8B5qnq9RG0rUdmzpypb7zxRikO7YiA6dOns3btWl5//XVmzZoV+fHMmpt9+/YVrQyow1EOiMhqVZ3Z0369CTG1qeqnqvpN4Awg+js5BpjFQXHEljZTgN5MGS4W2YxDnM8bxFuf01Y4vTEQifqaqnor8DN7zYkvcc7Jb0vbokWLeOONNxg9erSV77NBnM8bxFuf01Y4+STrO1REjgc2ikgi2ZCq3hNJyxx9jkMPPZQZM2YU9ZhTpkwp6vEcjkqixzEIEakB/hdwJfARnlE5ElgM/L2qdkXdyExU0hiEya0SRypVm6mznW1QvFK15Uqc9TltmbE5BvFPeNXjjlbVGap6AnAsMBi4u9ct7GM8/3x8aytVqrZhw4b1OGOqUrXlSpz1OW2Fk4uBOBf4qqq2mw2qugu4DvirqBoWN0xGxzjitFUucdbntBVOLgbCZP9L3XiACqzd4HA4HI7cyMVAvCMif5O6UUQuB96136R4cs4555S6CZHhtFUucdbntBVOLgbiBuAGEflPEfmhiNwtIr8DbsILMzlyoK2trdRNiAynrXKJsz6nrXByMRB1wDeA7+IV89ns//5NIL22piMUU0UqjjhtlUuc9TlthZNLuu8fA7ep6pvAi2ajiMz0/3ZeRG1zOBwORwnJZR3EW6p6fIa/rVfVyZG0LAdEpA1vbUYlMBSIXRpzH6etcomzPqctM2NVdVhPO+XiQWQLI9Xl3h775CKwXBCRN3JZmFKJOG2VS5z1OW2Fk8sYxCoR+WrqRhG5Clhtv0kOh8PhKAdy8SC+BjwtIpdy0CDMBA4B5kbVMIfD4XCUlh4NhKpuA2aLyBzAjEU8p6ovZvmYI50HSt2ACHHaKpc463PaCiTvgkEOh8Ph6BvEM9Whw+FwOArGGQiHw+FwhOIMhCXEFDh2OBxFIe73XDnocwbCHrH+X4rIUP9ndanbYhsRmSkiw0vdjigQkcMCv5f8gWOZzMXE40HJnyklb0ClIyInisgjwF0iMllEYvM/FY/+IvIYsBQSad5jgYhMEpGVwHfwCmDFBhE5SUSWAg+KyJUi0i8sbX8lIiJ/LiJPAHeLyMS4dVrK6ZkSm4dZsRGRKhH5DvAg8O94U4ZvAKaWtGEWUY89/tuhInIdeNpL2Cyb3Aw8rarnqeoGiEcvW0SmAIuAJ4EngNOAhpI2yhK+p3cv8Bu8VBM345VDrvhzV47PlLjc6EVHVbvx8kAtUNVfAN8DxgKx6c34HsQoYBtwFXCdiAxW1e5KNhIiUi0iQ/AKXt3rb5srIkfip4+p8IfNDGCjqv4c+H946XISJcgqXNtUYIOqLgZ+CCwBLhCR8aqqlazNf6ZsoYyeKRV7k5cCETlFRE4KbHocaPLd9x1AOzCqNK0rnKA+EanyPYiPgaPwUr3/DrhVRI71L+aKIajND5PtAU4GTvPd+WuBO/EyFFNJ4ZiQ6/I5YK6IfA9YDxwJ/IuILISK03ahiNwmIqZCThMw078GdwOrgDfwzl9FaYNQfY8B68rlmeIMRA6IyEARWQI8DVzr9z4BOlW1W1U7RaQW70Z8r2QN7SUh+g43BkBExgMfqOoWvN7o9cATItLP11zWhGkDUNUOYDFeKGaZqp4F/D1wvIicXbIG50EWbdvxeto1eKn6Pw88BDSKyJ+Xqr35ICLDROQZ4OvAn4DFIjJPVduAp/AKlgF8CvwW6O97uxVBBn1zVXWPqh4ol2eKMxC5sQ+vFsZlwFZgHqT1Vo4DtqnqBv/GPbH4zew1qfouCvxtKzBeRJ4F/gnPi/hIVTtVtavoLc2fbNruwwspDQNQ1RZgBVAp3lFGbar6LvBnwB/9TauB7UBnkdvYW44FXlHVk1X1p3hFy/6H/7fHgD8TkdP9jswO4L8BO0vT1F4Rpu/vUvYp+TPFGYgMiMjf+K77YFXtxBs4+i2wAc/FHe/vZ/JZDQH2iMgCYCUwuZzjobnqAwbiPXw+AGao6nnAaBGZUZKG50Cu2lT1M7ye6BUiMs0fhP9LvHBaWZLHeQN4Hrjdvw4vASbhPUzLEl/bqSLSH8+g/czfXg2847/AC5s9DvyziDQApwOCl0C0bMlB33r/fdk8U1wupgD+P38k8CheL/J9oB64WVU/8fcZB1wBdKjqnYHP3gUsxHPlf+xX4Csr8tTXqap3+NsOU9Wdge9Jel8OFHjuLsYLyUzCC8m8XeTmZ6WA81aHl9RtON5A59+q6jvpRygdPWkTkWpVPSAilwHnq+qXAp+9BRiP5yl9VVX/UHwF2SlQX+mfKarqXp6RrPZ/jgce8X+vAe4BnkrZdy5eeKIB6O9vmw1cXGodEeirA/r526tKrcOytnqg1t8updZhUdu4wHVZA4wstY5eaFuSss/PgC/5v48MfMchpdYRgb4R/s//XupnSi71IGKN7859F6gWkd8Ag4ADAKq6X0T+FtgqIqeo6u/87U+LyHHAfwADRGSOqq4skYSs2NAHzAH+oGU2c8mytrJypQvU9u8cvC7/ALSWRkU4vdEGfAZsEpHvAn8tImep6hZV3VcKDdmwpO9sVX2lFO0P0qfHIETkFLxY4OHARuAOoAuYYwaE/AfHd4HbA5+7CG/Gy0vAFC1D1xbirc9p6zva/Bj9lXgL/wYBc9SbVVd2WNT3x7QvLwWldsNK+QL+Arg88P4+4DpgAbDa31aFF0P8N+DowOf+otTt78v6nLY+o20s3oyfHwPTS93+vqavT3sQeJb+3+RgLpdXgDGq+hCee3iTemGVI4EDqroJQFVfVtWXS9Li/IizPqct/tq6VfUjVX1fVb+mqmtK1OZ8iJW+Pm0g1FuU0qkHE9B9AWjzf/8KcJyI/Bpv3nXZnbyeiLM+p61PaFsNlZUaJG76+vwgNSRigAqMAJ71N7cDt+HV4d6k3iKqiiTO+py2+GtTPy5TScRFX5/2IAJ04+WW/wSY4lv4b+O5gCsq9SYMEGd9TltlEmdtEBN9bqGcj4h8Hm+14kpgsar+a4mbZJU463PaKpM4a4N46HMGwke8VM+XAz9SL4VBrIizPqetMomzNoiHPmcgHA6HwxGKG4NwOBwORyjOQDgcDocjFGcgHA6HwxGKMxAOh8PhCMUZCIcjR0TkgIg0icjbIrJORL4uIlnvIRE5SkTmF6uNDodNnIFwOHJnr6pOU9VJeCkU/gr4Tg+fOQpwBsJRkbhprg5HjojIZ6o6IPD+GGAVMBQvK+fP8YoQAdyoqitF5DW82sKbgIeBfwG+D5wK9AMWqer9RRPhcOSBMxAOR46kGgh/23/hlbxsx0uj0CFe+c/HVHWmiJwKfFNVz/X3vwYYrqp3ikg/vGyfF5mMrA5HOeGS9TkchWEycdYC94rINLzqYeMz7H8GXm6eef77w/BKhDoD4Sg7nIFwOHqJH2I6AGzHG4vYBkzFG9vryPQx4CZVXVaURjocBeAGqR2OXiAiw4CfAvf66ZoPAz72i8FcDpiCMe3AwMBHlwHXiUit/z3jRaQeh6MMcR6Ew5E7dSLShBdO2o83KP0j/2/3AU/5daFfAnb7298E9ovIOuAh4J/xZjat8QvFtAEXFkuAw5EPbpDa4XA4HKG4EJPD4XA4QnEGwuFwOByhOAPhcDgcjlCcgXA4HA5HKM5AOBwOhyMUZyAcDofDEYozEA6Hw+EIxRkIh8PhcITy/wFkMwkyltRuqAAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"y_new = y - y_fit\n",
"new_data[\"CO2_osc\"] = y_new\n",
"\n",
"plt.figure()\n",
"plt.plot(new_data.index, y_new, color=\"black\", linestyle=\"-\")\n",
"plt.xlabel(\"Date\")\n",
"plt.ylabel(r\"$\\rm CO_2$ oscillation in the atmosphere [ppm]\")\n",
"plt.grid(linestyle=\"--\", linewidth=0.8, color=\"gray\")\n",
"\n",
"plt.figure()\n",
"new_data[\"CO2_osc\"][\"2011\":].plot(color=\"black\", linestyle=\"-\")\n",
"plt.xlabel(\"Date\")\n",
"plt.ylabel(r\"$\\rm CO_2$ oscillation in the atmosphere [ppm]\")\n",
"plt.title(\"From 2011 to present\")\n",
"plt.grid(linestyle=\"--\", linewidth=0.8, color=\"gray\")\n",
"plt.xlim()\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Nous réalisons par la suite une transformée de Fourier au signal précédemment obtenu afin de déterminer les fréquences qui lui sont associées.\n",
"\n",
"Note: l'ensemble des données est pris en compte dans l'analyse, ce qui n'est pas optimal sachant qu'il manque des relevés hebdomadaires. En effet, il vaudrait mieux se placer sur une plage de donnée dont l'incrément est uniforme. Cependant par manque de temps, l'analyse est tout de même poursuivie ainsi. A prendre donc avec des pincettes !"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"N = len(y_new)\n",
"T = 7 # time step in day\n",
"\n",
"X = fft(y_new)[0:N//2]\n",
"freq = fftfreq(N, T)[:N//2] # [cycles/day]\n",
"amp = 2.0/N * np.abs(X)\n",
"\n",
"plt.plot(freq, amp, color=\"black\", linestyle=\"-\")\n",
"plt.xlabel('Frequency (cyles/day)')\n",
"plt.ylabel('FFT Amplitude')\n",
"plt.grid(linestyle=\"--\", linewidth=0.8, color=\"gray\")\n",
"plt.xlim(left=0, right=1e-2)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Nous nous intéressons maintenant aux fréquences de plus fortes amplitudes. Le bloc ci-dessous permet d'obtenir les trois fréquences de plus fortes amplitudes. Ces dernières sont représentées en rouge sur le graphique ci-dessous."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[2.76327909e-03 8.77231458e-05 5.52655818e-03]\n",
"[ 361.88888889 11399.5 180.94444444]\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"_sort_id = np.argsort(amp)\n",
"ampMax = amp[_sort_id][::-1][:3:]\n",
"freqMax = freq[_sort_id][::-1][:3:]\n",
"\n",
"print(freqMax)\n",
"print(1/freqMax)\n",
"\n",
"plt.plot(freq, amp, color=\"black\", linestyle=\"-\")\n",
"plt.plot(freqMax, ampMax, color=\"red\", linestyle=\"\", marker=\"o\")\n",
"plt.xlabel('Frequency (cyles/day)')\n",
"plt.ylabel('FFT Amplitude')\n",
"plt.grid(linestyle=\"--\", linewidth=0.8, color=\"gray\")\n",
"plt.xlim(left=0, right=1e-2)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Si l'on s'intéresse à la fréquence dont l'amplitude est maximale, cela correspond à un cycle tous les 362 jour environs. Cela semble cohérent avec les observations graphiques (cf. graphique zoomé à partir de 2011).\n",
"La seconde fréquence a peu de sens, dans la mesure où cette dernière est obtenu à très basse fréquence et provient probablement d'un artefact de calcul.\n",
"La troisième fréquence quant à elle correspond à période de 181 jours environ. Par la suite, il serait intéressant de creuser davantage l'analyse ainsi que l'interprétation de ces résultats."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Conclusion"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Il a été possible de:\n",
"1. charger les données et conduire des analyses\n",
"1. estimer une concentration potentielle de $\\rm CO_2$ dans l'atmosphère à l'horizon 2025 d'environ 424 ppm à partir d'une méthode de régression polynomiale.\n",
"1. estimer la période d'oscillation des cycles de concentration en $\\rm CO_2$ dans l'atmosphère à environ 362 jours par application d'une transformée de Fourier."
]
}
],
"metadata": {
"hide_code_all_hidden": true,
"kernelspec": {
"display_name": "Python 3",
"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": "3.6.4"
}
},
"nbformat": 4,
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}