{ "cells": [ { "cell_type": "markdown", "id": "a2a8e155-4915-4ed4-8135-29c8e1844536", "metadata": {}, "source": [ "# Resampling timeseries using `eat`" ] }, { "cell_type": "markdown", "id": "3f70d1b9-ef95-455d-ade6-d8841cfb2136", "metadata": {}, "source": [ "In this tutorial, we demonstrate how `eat` can be used to easily resample timeseries.\n", "\n", "First of all, the lib as well as other thirst-party ones are imported." ] }, { "cell_type": "code", "execution_count": 1, "id": "a75b028f-db64-42cf-8ca1-c1b24f22ca14", "metadata": { "execution": { "iopub.execute_input": "2023-05-04T09:40:02.175809Z", "iopub.status.busy": "2023-05-04T09:40:02.175303Z", "iopub.status.idle": "2023-05-04T09:40:03.340416Z", "shell.execute_reply": "2023-05-04T09:40:03.339174Z", "shell.execute_reply.started": "2023-05-04T09:40:02.175768Z" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "'0.0.1'" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import matplotlib as mpl\n", "mpl.rcParams['figure.figsize'] = (10, 6)\n", "mpl.rcParams['axes.grid'] = True\n", "pd.set_option('display.max_rows', 10)\n", "\n", "import energy_analysis_toolbox as eat\n", "import energy_analysis_toolbox.pandas\n", "eat.__version__" ] }, { "cell_type": "markdown", "id": "c046f5bf-fbf8-498e-a444-e98ea9a399e7", "metadata": {}, "source": [ "## Resampling power data" ] }, { "cell_type": "markdown", "id": "49a53596-2474-4f84-b16d-a11d07004a74", "metadata": {}, "source": [ "First, this section shows how power data can be resampled. This is a very important operation as power data conveys information about the energy used on a certain site.\n", "\n", "In general, power data is represented as a timeseries where each row contains the average power on the interval starting at the row index and lasting until the next row.\n", "Accordingly, in order to avoid breaking energy conservation, between the source and the target data, the power should be resampled cautiously.\n", "The method in `eat` ensures that for each interval in the resampled data, the energy contained is the same as which that was contained on the same interval according to the initial sampling.\n", "\n", "This section illustrates how easily the resampling can be done using `eat`: users do not have to bother about the right way of ensuring energy conservation as this is directly handled by the provided functionality. " ] }, { "cell_type": "markdown", "id": "c21f8918-bf85-4629-b21e-773e22e01f42", "metadata": {}, "source": [ "### Example data\n", "In this example, the time series is randomly generated." ] }, { "cell_type": "code", "execution_count": 2, "id": "5d258e91-8254-4d17-88e7-6d10344c137a", "metadata": { "execution": { "iopub.execute_input": "2023-05-04T09:40:03.393350Z", "iopub.status.busy": "2023-05-04T09:40:03.392951Z", "iopub.status.idle": "2023-05-04T09:40:03.508336Z", "shell.execute_reply": "2023-05-04T09:40:03.506834Z", "shell.execute_reply.started": "2023-05-04T09:40:03.393306Z" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sample_power = pd.DataFrame(\n", " {\"power\": (np.random.randint(0, 5, 50)\n", " + 5 * np.sin(np.linspace(0, 10, 50)) + 5\n", " )\n", " },\n", " index=pd.date_range(\"2019-01-01 07:35:25\", periods=50, freq=\"5min\"),\n", ")\n", "sample_power.plot(drawstyle=\"steps-post\");" ] }, { "cell_type": "markdown", "id": "a29cec2a-aa9e-4f23-ae33-b26aa9534ed3", "metadata": {}, "source": [ "### Upsampling\n", "\n", "The simplest case it to upsample the power data. It correspond a \"fill forward\", as the flow is considered to be constant over the period between two instants.\n", "\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "sample_power_1min = eat.power.to_freq(sample_power[\"power\"], \"2.5min\")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = sample_power.plot(drawstyle=\"steps-post\", marker=\"o\")\n", "sample_power_1min.plot(drawstyle=\"steps-post\", ax=ax, marker=\".\", ls=\":\")\n", "ax.legend([\"5min\", \"1min\"]);" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initial total energy: 120762.21 kWh\n", "Resampled total energy: 120762.21 kWh\n", "Ratio: 100.00%\n" ] } ], "source": [ "initial_total_energy = eat.power.to_energy(sample_power[\"power\"]).sum()\n", "resampled_total_energy = eat.power.to_energy(sample_power_1min).sum()\n", "print(f\"Initial total energy: {initial_total_energy:.2f} kWh\")\n", "print(f\"Resampled total energy: {resampled_total_energy:.2f} kWh\")\n", "print(f\"Ratio: {resampled_total_energy / initial_total_energy:.2%}\")" ] }, { "cell_type": "markdown", "id": "323ea84b-a080-4910-aac4-a3d3973123a5", "metadata": {}, "source": [ "### Downsampling " ] }, { "cell_type": "markdown", "id": "698b6dd9-40e4-4e1f-9b4d-dd6e24464e55", "metadata": {}, "source": [ "Using the same function, the power can be resampled to a coarser period, e.g. 30min.\n", "The obtained result is a time-averaged power during each 30min time-slot, as if the data came from an Enedis connector." ] }, { "cell_type": "code", "execution_count": 6, "id": "d9bde268-710f-42f8-9a6a-fda577f6ad9a", "metadata": { "execution": { "iopub.execute_input": "2023-05-04T09:40:04.083700Z", "iopub.status.busy": "2023-05-04T09:40:04.083294Z", "iopub.status.idle": "2023-05-04T09:40:04.214209Z", "shell.execute_reply": "2023-05-04T09:40:04.212725Z", "shell.execute_reply.started": "2023-05-04T09:40:04.083664Z" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "2019-01-01 07:35:25 10.296045\n", "2019-01-01 08:05:25 12.138581\n", "2019-01-01 08:35:25 8.519530\n", "2019-01-01 09:05:25 2.773721\n", "2019-01-01 09:35:25 3.224594\n", "2019-01-01 10:05:25 8.943146\n", "2019-01-01 10:35:25 11.368231\n", "2019-01-01 11:05:25 8.248519\n", "2019-01-01 11:35:25 1.577750\n", "Freq: 30min, Name: power, dtype: float64" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample_power_30min = eat.power.to_freq(sample_power[\"power\"], \"30min\")\n", "sample_power_30min" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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MiPYmlrNvCy4R6qJrr71Wc+bM0ZAhQ1RbW6vHHntMr7/+ulatWqXMzExdeOGFWrRokbKyspSRkaHLLrtMkydP1g9+8IOQtyUSqCYHAADQhtLySi1csVFVzsaA9VU1DVq4YqNKyysj1LLo4ItPy0RIIj7dlj9fOv1RKWO/JDJjkHe9RfMMVVdX67zzztOoUaN0wgknaN26dVq1apVmzJghSfrDH/6guXPn6rTTTtMPf/hD5eTk6F//+pclbYkEeobQZXSHAwDindtjVLyyot1CxzZJRSUVmjJ8QFCfgakOu2y2+PmsDEV8XK5mNbol08MhXXElf740+kfee4h275D6HOi9R8iCHiGfv/71rx0+npKSovvuu0/33Xdfm49Pmzat1f/hBRdcoAsuuCBgXVFRkYqKivzLr7/+esDjW7dubXXsTZs2ddi2UCAZQpfQHQ4ASARlW3a26vFoyUiqcjZobNHqoI43YWg/PfmryXGTEIUuPr30z6p1emrhMXETmx5Lskt5UyPdioTBMDkEje5wAECiqK5t/4t+d6zf9r32uNwhPWYkhTI+G77aFVexQWyhZwhBCdVwAbrEAQCxIDs9Jajtli+YqEl5We0+Xt/k1oSbXg5Vs6JGKOLjrGvQD27v2lw2QKiRDCEooR0uQJc4ACC6TcrLUm5miqpqGtordKyczBRNHTEwIe+bDUV8XC7r7oMBgsUwOQQl1MMF6BJvm9uz7yOlbMvOgGUAQPjYk2wqnJcvyV/Y2M+3XDgvPyETIYn4tIeRL+EVinjTM4SghGq4AF3i7Sstr1RhyWb/8gUPr6M4BQBE0OyCXC07Z7wKn9usHbX7ymvn8N4sqUV8SjZrhzOx4+NwOCRJ9fX1Sk1NjXBrEkd9fb2kffHvDpIhBCVUwwXoEm+brzjF/rH1FadYds74hPpQAYBoMbsgV5OGZmr8za9J8l70S9ShcW2ZXZCrKcMH+IfJJ2p87Ha7+vbtq+rqaklSWlpaRG8F8Hg8ampqUkNDg5KS4m8gmDFG9fX1qq6uVt++fWW3d//7JckQguLrDl+4YmN78yInZHd4KDBXAwBEt5bvvcyt1xrx8crJyZEkf0IUScYY7dmzR6mpqXF9f3bfvn39ce8ukiEEje5wazBXAwAAsc9msyk3N1fZ2dlyuVwRbYvL5dKbb76pH/7whz0aQhbNHA5Hj3qEfEiG0CV0h4eeFXM1pPXmpQ0AQCTY7faQfEnvaRuam5uVkpISt8lQqPCNCV1Gd3hoMVcDAABAZJAMARHGXA0AAACREX/lJYAYE8m5Gtweo3e//E7Pbfpa7375HfMaAQCAhELPEGKDxy1tWyvt3iH1OVAaeoyUFD+9Ib7iFMUrKwKKKVhZnKK0vLLV8zGvEQAASCQkQ4h+FSVS6WLJ+c2+dRmDpNm3S/nzI9euEJtdkKsZ+Tkq27JT1bUNyk5PseyeLOY1AgAAIBlCtKsokZ44T9r/a7uz0rv+9EfjKiGyJ9k0eVh/S58jFPMatZTqsFPKGwAAxCSSIUQvj9vbI9TR1/bSxdKh06JryFxTs1K1d+hZU53C8jJr2hP0c67/z07tqtml1Bbr9ihZvjuUgp/XyGvC0H568leTSYgAAEDMIRlC9Nq2NnBoXCvG+/htg8PWpGCkSfrEVy37rvA8Z2YXnvPoltvutc4zUj9tKlTrEg6dW7/te+Y2AgAAMSks317efPNN3XnnndqwYYMqKyv1zDPP6JRTTpHknSH3uuuu04svvqj//Oc/yszM1IknnqjbbrtNgwYNCkfzEK1274h0CxLGxKR/K1WN2qN9WVJH8xpJUn2TWxNuejkczQMAALBEWJKhuro6jRs3Tj//+c916qmnBjxWX1+vjRs36vrrr9e4ceP0/fff64orrtD8+fO1fv36cDQP0arPgcFtd/ZT3upybVhTUaVbXvxUVc4WFdoyUvTbk0ZrRn5Ou/tc8fimVoPzfH0mf/zZEe3uK0n1Tc06am+SsOG6E8PSY1JTt8c/6Wpnz+n2GJ245A3tcDYoVY3akLIw4PFg5jUCAACIB2FJhubMmaM5c+a0+VhmZqbWrFkTsO7ee+/VpEmT9NVXX2nIkCHhaGJCcntMWCqXddvQY7xV45yVavu+IZv38WHT27xnqLS8Ugsf/3Tvnvt6PLY6pf95/FMtOyetVcU0t8fohpe2ql77jSPb94y6/sWt+sHoIe3Gql699vWw9D5ACsfwMVdS0M9pl7R4/ngtXLGx1WNWz2sEAAAQTaJykH9NTY1sNpv69u3b7jaNjY1qbGz0LzudTkneYXcul6tHz+/bv6fHiWarNu/QTS9+qirnvhjmZCTrupNGa9aYjntkXK7mFr+75LIFP1FnV/e1zbhF9qcXSLLJ1iIhMnu/trtn3Czj9khuT8B+bo9RUcnmDiumFZZs1qShmQFf+tdt/T5g3p229u1KcYGuxqe7uhrXE0YN0D0/G6c7n98k7dtVOZnJ+t2c0Tph1IBOz/+enAexIhHeCyKBuFqH2FojnJ97kdqvJ2KprYmC94Lg//aoS4YaGhq0ePFinXnmmcrIyGh3u1tvvVXFxcWt1q9evVppaWkhacv+PVbx4sPvbHro30l7l/YlAlXOBl36+Cb9fKRH4/q3/4bU6JZ8p86qVauV3IVCbl3fN0m5eZdq7H9XKNX1vX/tHkc/lR98tir/kyT958VWe31eY1OVs/2DG0k7nI0af/NrwTe+i/LSjV5bs1rhKLLW3f+TS0c1Spu9v1840q1hWXVyb9ugF7dZ95yxKF7fCyKNuFqH2IZWeD/3IrNfT8RSWxNNIr8X1NfXB7VdVCVDLpdLp59+uowxWrZsWYfbXnvttVq0aJF/2el0avDgwZo5c2aHSVSw7VizZo1mzJghh8PRo2NFG7fH6Na735TU2MajNtkkvVCVpkt/eky7w6T2NLmlMu/9KbNmzezSPTE1dQ1S2Ztd3PckqeHX0t2HSpKaz3hcjkOP15FJdh3Zzh4rP6qUKj4Oul1d9eC5R2riIf063Cac8+90L65S/e4afzJ00Y+nK61PZtDPWd/UrKvLXu3yc8aSeH4viCTiah1ia43uvsdK3X+vDPd+PdHd5+xJXN0eo/Xbvld1baOy05M1YWg/hne3wHvBvlFjnYmaby++RGjbtm169dVXO01okpOTlZyc3Gq9w+EI2X96KI8VLdZ/+V3A0Lj9dbXHxBuj4E8jh6O5xe9d2Nfsu4en17AfSr3bvqfHJ7fvAUEddv+Kab7iAtXOxvbuUlJOZoqOPyw3qt50uxvXlud3V893h9n393f1PIg18fheEA2Iq3WIbWh1+7NL3X+vDPd+PdHttnYzrqXllSpeWREwrD03M0WF8/Jb3Quc6BL5vSDYvzup802s50uEPv/8c7388svq379/pJsUt6pr278fpqsmDO2nVEd4+rTdnn2pyfv/2Rmw3JZJeVnKzUxpd9Ycm7xvnFNHDFRa717+n/QUh4rnj/Fvs/8+EsUFAACIlNLySi1csbHV/b1VNQ1auGKjSssrI9QyxKqwXMrdvXu3vvjiC//yli1btGnTJmVlZSk3N1c/+clPtHHjRj3//PNyu92qqqqSJGVlZal3797haGLCyE7vuEfFp7M5ZqTwDQMrLa/U7SUb5eurumB5mfpm/rvDK0D2JJsK5+Vr4YqNsimwFl1nSc3sglwtO2d8q6tOOVx1AgAgYtweo+KVFR0WRyoqqdCU4QM6vWgZzqHsiG5hSYbWr1+v448/3r/su9fn/PPPV1FRkUpKSiRJRxxxRMB+r732mqZNmxaOJiYMX49JVU1Dh8PAomWOGd8VoBQ1tKyO7b8CtOyc8e0mJ76kprBks3a0rJoXRFIzuyBXM/Jzorv0OAAACaRsy86QVXydMLSfnvzVZBIihCcZmjZtmoxpf1hTR48htHrSYxJuobgC9MORA1Vy6bE6+pZXJHl7vIJN9OxJNk0expBNAACiQSiH+q/f9r32uNxxWfwHXcMZkIB60mMSTqG8AuRD7w4AALEpFEP965vcmnDTy6FsFmIcyVCCml2QqynDB/gTia70mIRLKK8ASeEt+AAAAEIr1ob6IzaQDCWwlm8U0dhjEspiDxI3SwIAEMtiaag/YkdUlNYG2tLd8tjt/ZAIAQAQ23xD/bMzAueazMlM6bCoEtAekiFELd8VIIk5fwAAgNfsgly9vOg4//LyBRP19uLpJELoFpIhRDXfFaCB6VwBAgDEHndzs36QVKH5SWv17/dekru5OdJNigvRPtQfsYN7hhD1ZhfkasqQY6Ul3uU/n3uUphw2lDc+AEBU+2DVIxr0brEe7/2dd8Wr92rHq/31zeRCHTnr/Mg2DoAkkiHEiJaJz4Sh/UiEAABR7YNVj2jc2su9Cy0+sgaa7zRw7eX6QCIhAqIAyRAAAEAIuZubNejdYknS/tfukmySx0iD3i1W7dFzZe/V9lex+ia3UrV3iommOgX9la2puXv79UR3n7NpT/fbuvc59yi5822BDpAMAQAAhNCn76/SGH3XuvrPXkk26UB9Jy09tN1jpEn6xDfDxF3BP3d39+uJ7j5nZjf3a/mc6zwjJTOrazsDLVBAAQAAIIT2fP91pJuQMCYm/Vty1Ue6GYhh9AwBAACEUGq/g4La7sPjHtSIiTM7PlYXJwyvb2rWUTe9LEnacN2JSutt/Ve97j5nTd0e/eD2N7q8nyTV1zmV9sfRXW8ssB+SIQAAgBAaffQs7VjTXwPNd63uGZK89wxV2/qrYOqP271nqPuatUd7x571PkAKQzLU7ed0JXW/rU2UKEdoMEwOAAAghOy9eumbyYWSvIlPS77lysmFFiRCALqKZAgAACDEjpx1vj485k/61pYVsL7a1l8fHvMnymoDUYJLEgAAABY4ctb5ck89RbpjiCSp4viHNGrKycqJ0h4ht8eobMtOVdc2KDs9RZPyspjXD3EvOl+NAAAAcaDlULj8ybOlKE2ESssrVbyyQpU1Df51uZkpKpyXr9kFuRFsGWAthskBccDdYlB62ZadAcsAAHSktLxSC1dsDEiEJKmqpkELV2xUaXllhFoGWI9kCIhxpeWVmvOntf7lCx5ep2Nvf5UPLwBAp9weo+KVFWrrEppvXVFJhWobXKpvam7nxx3OJgMhFZ19tQCC4ruat/+HmO9q3rJzxjO8AQDQrrItO1v1CLVkJFU5GzS2aHX4GgWEEckQEKM6u5pnk/dq3pThA9q9Aba+ya00KxsJAIhq1bXtJ0JdNWFoP6U67CE7HhAOJENAjArF1bxUNeiTFAsaBwCICdnpwX0ILF8wUZPysjrcJtVhl81G9TnEFpIhIEaF8mqeJK7mAUACmpSXpdzMFFXVNLQ50sAmKSczRVNHDKTMNuISyRAQo0JyNa+pTrrL+ytX8wAg8diTbCqcl6+FKzbKJgUkRL5PhcJ5+SRCiFtUkwNilO9qXnsfTzZ554iYOmKg0nr3avcHAJDYZhfkatk545WdkRywPiczhUI8iHskQ0CM8l3Nk9QqIeJqHgCgK2YX5OrlRcf5l5cvmKi3F08nEULcIxkCYpjvat6BXM0DAPRQy4tnk/KyuJiGhMAYGSDGzS7I1bQR/XXvP0t16JgjlNv3AD7EAAAAgkAyBMQBe5JNIzKNTjo8Vw6HI9LNAQAAiAkMkwMAAACQkEiGAAAAACQkkiEAAAAACYlkCAAAAEBCooBCqHnc0ra10u4dUp8DpaHHSEn2SLcKAAAAwH5IhkKpokQqXSw5v9m3LmOQNPt2KX9+5NoVRdwe4/+9bMtOTR0xkBLQAAAAiAiGyYVKRYn0xHmBiZAkOSu96ytKItOuKFJaXqk5f1rrX77g4XU69vZXVVpeGcFWAQAAIFHRMxQKHre3R0imjQeNJJv38UOnRdeQuaZmpaph7+91svJ0WFNRpUWPb5KRlNpifU1NgxatWCv7z47QjPyc9g/gqresbQAAAEhMJEOhsG1t6x6hAMb7+G2Dw9akYKRJ+iRl78Jd1j7XDEkVKR1s8Ozen3akhbQ1AAAAAMPkQmP3jki3IGGs84yUHKRGAAAA6Dl6hkKhz4HBbXf2U97qclGivqlZR930siRpw3UnKq23NafD8x99o6ue+igkxxozJEdPWtROAAAAJBa+VYbC0GO8VeOclWr7viGb9/Fh06PrniE1a4/2jl3rfYBkUZLRv1/WvufpwPIFEzUpL6vDbVIddtlsVJ8DAHSd22NUtmWnqmsblJ2eokl5WVQ0BRIcyVAoJNm95bOfOE+STYEJ0d432dm3dZgIxfMb9KS8LOVmpqiqpqG9VFE5mSmU2QYAWKa0vFLFKytUWdPgX5ebmaLCefmaXZAbwZYBiCTuGQqV/PnS6Y9KGfu9oWYM8q7vYJ6h0vJKHXv7qzrzgfd0xeObdOYD78VVyWl7kk2F8/Il+VNDP99y4bx8EiEAgCVKyyu1cMXGgERIkqpqGrRwxca4+byVWs/n13IZQGthSYbefPNNzZs3T4MGDZLNZtOzzz4b8LgxRjfccINyc3OVmpqqE088UZ9//nk4mhZa+fOlK8ul85+XTvur998rP+40EUqEN+jZBblads54HZiRHLA+JzNFy84Zz1U5AIAl3B6j4pUV7U5+IUlFJRWqbXCpvqm5zZ89Te5wNrnbSssrdeKSN/zLzOcHdC4sw+Tq6uo0btw4/fznP9epp57a6vE77rhDf/rTn/TII48oLy9P119/vWbNmqWKigqlpHR+r0lUSbJLeVOD2rSzN2ibvG/QU4YPCKrXJNrvp5ldkKtpI/rr3n+W6tAxRyi37wFxNRwQABB9yrbsbHXBsSUjqcrZoLFFq8PXKAv4Lq7u/53Cd3GVC49A28KSDM2ZM0dz5sxp8zFjjJYuXarrrrtOJ598siTp0Ucf1YEHHqhnn31WP/vZz9rcr7GxUY2Njf5lp9MpSXK5XHK5XD1qr2//nh6nM++H+A36qCF99Y9fTAw6IXK5mlv87pLLZn1XusfdrBGZRjMOGyCHwyGPu1me2LjgFtW6fc66XHK0PIYt+P0jcf6EW7jeCxINcbUOsW2tclddyI41fnCmesnTtfj24H02WG6PUVHJ5g4vrhaWbNakoZkdXoBs2QMWjvf1nnyOtPw/6Mp3v0T47JJ4L5CC/9sjXkBhy5Ytqqqq0oknnuhfl5mZqaOPPlrvvvtuu8nQrbfequLi4lbrV69erbS00MxDs2bNmpAcpz0bvrVJCl11uQ1f7dKzz7+k5CAP2eiWfKfAqlWrg94vFKyObaLqalzt7kbN3fv7qlWr5bYnd7h9S5E8f8KN89UaxNU6xHaf/9QE91n7y9FuDcvo+Itx76Tv9NJLL3Xp+XvyPhusz2tsqnK2/zcaSTucjRp/82tBHzMc7+s9+RxpdjXqtL2/v/zKq+rlCC6uifTZJSX2e0F9fX1Q20U8GaqqqpIkHXhg4Fw9Bx54oP+xtlx77bVatGiRf9npdGrw4MGaOXOmMjIyetQml8ulNWvWaMaMGXI4HJ3v0E39t+zUo5+v73S7B889UhMP6dfu43ua3PrB7d4xwrNmzQx6vqD6pmZdXfZql/friXDFNtF0O65NddLeKaBmzZrpLbEepEicP+HG+WoN4modYtua22P01N1vaoezsYOKpsn69Zk/bLfXpEdx7cH7bLBWflQpVXwcsuMdNaSvTpkb/EiT7qqpa5DK3pTU9c+R+t01Urn39xNPmK60PpnB7ZcAn10S7wXSvlFjnYnZMyA5OVnJya2vAjgcjpD9p4fyWG2ZPDw7qJLTxx+W22G3tsPR3OJ3hxyO4P5bHWbfMbuyXyhYHdtE1eW4mn3bOhwOqQv7RvL8CTfOV2sQV+sQ230ckormj9HCFRvbm/xChfPGKCW5d+fH6k5ce/A+G6zcvsElWMHM5yeF7x7k7n5/8W0fuG9wcU2kzy4psd8Lgv27I15aOycnR5K0Y8eOgPU7duzwPxavKDkNAID1fBVNs+O0oqlvPr/2vi3Y5J1TaeqIgUrr3avTn2guxgSEWsSToby8POXk5OiVV17xr3M6nXr//fc1efLkCLYsPOL9DRoAgGgwuyBXLy86zr+8fMFEvb14elx8znJxFei+sPQN7t69W1988YV/ecuWLdq0aZOysrI0ZMgQXXnllbrppps0YsQIf2ntQYMG6ZRTTglH8yJudkGupgwf4K8at3zBRE0dMZA3LQAAQqjl52q8Te3gu7havLIioFJtTmaKCuflx0XSB1ghLMnQ+vXrdfzxx/uXfYUPzj//fC1fvlxXX3216urq9D//8z/atWuXjj32WJWWlsbeHEM9EM9v0AAAwHqzC3I1Iz9HZVt2qrq2QdnpKXynADoRlmRo2rRpMqb9cpU2m02///3v9fvf/z4czQEAAIhL9iSbJg/rH+lmADEj4vcMAQAAAEAkkAwBAAAASEgkQwAAAAASUnzPNAUg6rg9hpt7AQBAVCAZAhA2peWVrcq+5lL2FQAARAjD5ACERWl5pRau2BiQCElSVU2DFq7YqNLyygi1DAAQCW7PvkrDZVt2BiwD4ULPEADLuT1GxSsr1NbHnJF3hvSikgpNGT4gqCFzqQ67bDaG1gFArCotr1Thc5v9yxc8vI6RAogIkiEAlivbsrNVj1BLRlKVs0Fji1YHdbwJQ/vpyV9NJiECgBjkGymw/wUy30iBZeeMJyFC2JAMAbBcdW37iVB3rN/2vfa43ErrzVsYEKsoppKYQjVSoL7JrTSrGomEwjcJAJbLTk8JarvlCyZqUl5Wu4/XN7k14aaXQ9UsABFCMZXEFaqRAqlq0CfBfbQAHaKAAgDLTcrLUm5mitq7xmeT94vQ1BEDlda7Vwc/9nA2G4AFKKaS2EI9UkDy3kcKdBc9QwAsZ0+yqXBevhau2CibFDA8wpcgFc7LZ4gMEOdCWUyFQiqxKVQjBdRUJ93l/ZXzAD1BMgQgLGYX5GrZOeNVWLJZO5yN/vU5DI0BEkYoi6lQSCU2+UYKVNU0tJkU2+T9XJg6YmAnCTFfYREaDJMDEDazC3L18qLj/MvLF0zU24unkwgBCSKUQ6R8hVQQW3wjBSS1GjrNSAFEAmk1gLBq+QFH9SggsYRiiBSFVGKfb6RAUclmVYV5pMD+E7123gOFeEcyFAd4YQMAYkHohkgh1s0uyNW0Ef117z9LdeiYI5Tb9wDLL5CVlleqsISJXhGIYXIxrrS8UicuecO/fMHD63Ts7a9SjQcAEDyPW9rylvTxU95/PdYMP2OIFFqyJ9k0ItNo3uG5mjysv+WJ0MIVGwPuWZWoYgiSoZjGCxsA0GMVJdLSAumRudLTF3r/XVrgXW8B3xCp7IzkgPU5mSlads54rtAj5DqrYih5qxjWNrhU39Tc6Y8xbR0JsYphcjEqFOVJ65u48RQAElpFifTEedL+nybOSu/60x+V8ueH/GlnF+RqyvAB/qpxyxdMZGgcLBPKKoYSlQzjDclQjAr1CxsAkGA8bql0sVolQpL8l9VKF0uHTpOSQj+ppb25Wanyfo5NOihZ9ub64HZs2refmurUpa8y3d3X5ZLd3ejdxziCfz5Jagry74JlQj3Rq6+SYVpvvkbHA/4XY1QoX9gThvZj9mYASDTb1krObzrYwHgfv22wJU+fJukTX3G5u6zfryf7OiTNlaSPuvZ8iA6hmuiVSobxiWQoRoVsBmcxizcAJKTdOyLdgsQy+AeSIy3SrUhIVDFER0iGYhQvbABAj/Q5MLjtzn5KGnpMyJ++vqlZR+29yr7huhODHnLU3f16sq/L5dKqVas1a9ZMORxdHCbn40iTuPAYEb4qhgtXbJRNgQNDqWIIkqEYxQsbANAjQ4+RMgZ5iyW0d1ktY5A0bLol9wxJzdqjvaMceh8gBZ3UdHe/Huxrc8ltT/bu091kCBHlq2JYvLIi4J7rcEz0iuhGMhTDeGEDALotyS7Nvn1vNbl2LqvNvs2iRAgIv9kFuZqRn6OyLTtVXdug7PQUyyd6RfQjGYpxvLABAN2WP99bPvulq6XaFnPTZQzyJkIWlNUGIsmeZNPkYf0j3QxEEZKhOMALGwDQbfnzveWzfVXjzn7KwqFxABBdkiLdAAAR5Gkx8e62tYHLABJHy8Rn6DEkQgASBskQkKgqSqT7Ju1b/vtPpKUF3vUAAAAJgGQISEQVJd6bplveIyB5q0o9cR4JEQAASAjcMwQkGo9bKl2stkvpGkk27+OHTut4qExTs1K1t4phU52Cfjvp7n493bc7XC7Z3Y3e5zLMLQIAQLwhGQISzba1kvObDjYw3sd9N1O3I03SJ3un69BdwT99d/fr6b7d4ZA0V5I+6sFBBv9A+nkpCREAAFGIYXJAotm9I9ItSCzb35Nc9ZFuBQAAaAM9Q0Ci6XNgcNud/ZS3qlQb1lRU6aYXPlF1baN/XU5Gin570mjNyM/p8LD1Tc066qaXJUkbrjtRaV2YPb4n+3aHy+XSqlWrNWvWTDm6Out8U71013BrGgYAAEKCZAhINEOP8U6o6KxU2/cN2byPtzPPSGl5pRY+/qmMbJJS/Ou3OqX/efxTLTsnTbMLcjtoQLP2+PbrfYDUpYSmJ/t2g80ltz3Z+1xdTYYAANbZf2oI5sZCNzFMDkg0SXZp9u17F/a/j2Xv8uzb2vxQcXuMildWtFt6QZKKSipU2+BSfVNzOz/MZQTEE7fH6N0vv9Nzm77Wu19+J7enrXcIIISYGgIhRM8QkIjy50unP+qtGteymELGIG8ilD+/zd3KtuxUZU1Du4c1kqqcDRpbtDrEDQYQjUrLK1W8siLgfSE3M0WF8/I76SEGusk3NcT+l+V8U0Oc/mi7n2FAW0iGgESVP18a/SPv8ILdO7z3EnUy83x1bfuJUFdNGNpPqQ6GNACxqrS8UgtXbGzVU1xV06CFKzZq2TnjSYgQWqGaGqKb3A0u//QO6z//r6YMGyB7UnRWCnU3Nmnr9416ceOXysk8QBMO6de1tibQtBAkQ0AiS7JLeVOD3jw7PaXzjSQtXzBRk/KyOtwm1WGXLUHeaIF409mQWZu8Q2anDG//yyJDZtFlIZoaorvS1WJ6hycteYqQSZF0hSRt7eYBEmhaCJIhAEGblJel3MwUVdU0tFd6QTmZKZo6YmDUXi0D0HMMmUVEMDVE+Pimheh9QKRbYjmSIQBBsyfZVDgvXwtXbJRNgQMVfKlP4bx8EiEgzjFkFhERgqkhusrtMTpxyRuqcrZ9ztvkHTWx8rIpnX72WT0iIiRtddUr7Y+jLWtjNCIZCjG3x6hsy05V1zYoOz1Fk/Ky+GKIuDK7IFfLzhnf6qbpHG6aBhIGQ2YRET2cGqI7yr78TlucUsupJPa3tVYae8s7nR5rwtB+evJXky0730PR1lQ1+IcCGmNa1ZyNR1GRDLndbhUVFWnFihWqqqrSoEGDdMEFF+i6666LqTdIquogUcwuyNWM/BwSfyBBMWQWEeGbGuKJ86T2xie0MzVEd4WyF3T9tu+1x+W2bMLwULZVkretySE9ZFSKimTo9ttv17Jly/TII49ozJgxWr9+vRYsWKDMzExdfvnlkW5eUKiqg0RjT7Jp8rD+kW4GgAhgyCwipptTQ3RXKHpB65vcmnDTy6FsVptC0tbdTulPoWxV9IuKZGjt2rU6+eST9aMf/UiSdMghh+gf//iHysrKItyy4FBVBwCQaHxDZgtLNmuHs9G/niGzsFw3poborljqBQ1JW3sn3v17UZEMHXPMMfrLX/6if//73xo5cqQ+/PBDvf3221qyZEm7+zQ2Nqqxcd+br9PplCS5XC65XK4etce3f7DHeT/EVXVcLpdctvicwbursUVwEiWuLldzi9+tf530KK4ulxwtj2OL7/+brkiU8zUSuh3bbp6vJ4waoEmXHaPxN78mSXrw3CN17N4Lf1b9//bkfaC7+3LOWqPHcT34B/t+d3u8Pxb43ZxRuuzxD9vtBf3dnFHyuJvlaee6djg/u3xt3V/wbXUF/B7L53ywbbcZYyL+rdvj8ei3v/2t7rjjDtntdrndbt1888269tpr292nqKhIxcXFrdY/9thjSktLs7K5rWz41qZHPw9NJp2XbnTFGHcilHUHuqzRLV1d5r2Gc8ekZiVH8QUsu7tRcz+6SJL0/OEPyG1PgIHXiFk9OV/D/brsyfPF0nsIosuH39n0r61J2tW07wta395Gpx7i0bj+HX+VDvd59+F3Nj29NUk13Whrs6tRp5V73wueLnhAvRyx+9lVX1+vs846SzU1NcrIyGh3u6hIhh5//HFdddVVuvPOOzVmzBht2rRJV155pZYsWaLzzz+/zX3a6hkaPHiwvv322w7/4GC4XC6tWbNGM2bMkMPh6HT797fs1DkPre90uwfPPVITD+nX4TbxXlWnq7FFcBIlrvVNzRp346uSpA+vn27ZTag+PYprU50cdw71HueqbQkxV0OwEuV8jYRux7YH52u4X5c9eb7u7ss5a41Yi6vbY7R+2/eqrm1UdnqyJgztF9TQuHC/RiRpZ+0eHX3HW5ICe2w7U7+7Rpl/HCZJqrniS6X1ybS0nVZyOp0aMGBAp8lQVAyTu+qqq3TNNdfoZz/7mSRp7Nix2rZtm2699dZ2k6Hk5GQlJ7fOVh0OR8heUMEea/Lw7KDGaB5/WG7Ex5NGi1D+P2GfeI+rw+x7/Xj/1vC8hXUrrmbf9g6HQ4rj/5fuivfzNZK6HNsenK/hfl325Pl62lbOWWvESlwdko4dGeRcRy33i8BnV0ryvqF5x4zIVkqQCVjL/4dY+X9pT7BtT7K4HUGpr69XUlJgU+x2uzwea8Z+hpqvqo6kVvXYqaoDAAAARKeoSIbmzZunm2++WS+88IK2bt2qZ555RkuWLNGPf/zjSDctaL6qOjmZgWUNczJTKKsNAAAARKGoGCZ3zz336Prrr9fFF1+s6upqDRo0SL/85S91ww03RLppXcJElAAAAEDsiIpkKD09XUuXLtXSpUsj3ZQeYyJKAAAAIDZExTA5AAAAAAg3kiEAAAAACYlkCAAAAEBCIhkCAAAAkJBIhgCgHW6P0ec1Nq38qFLvfvmd3J62plUGAACxKiqqyQGAldwe0+WS96XllSoq2awqp12q+FiSlJuZosJ5+cwbBgBAnCAZAhDXSssrVbyyQpU1Df51nSU1peWVWrhio/bvB6qqadDCFRuZSBkAgDjBMDkAccuX1LRMhKR9SU1peWWrfdweo+KVFa0SIUn+dUUlFaptcKm+qbnDHwAAEN3oGQIQlzpLamzyJjVThg8IGDJXtmVnq+Rp/32rnA0aW7S6w+dPVYM+Sdm7jzHqeFAeAACIBJIhAHEpVElNKOxxuZWWbPnTAACALiIZAhCXqmvbT4RCYfmCiZqUl9Xu4/W7ndKfLG0CkJBaVnUs27JTU0cM7LQgCgC0h2QIQFzKTk8Jarv9kxq3x+jEJW+o2tnY5hA7m6SczJTOv4D1tnetwQA6VVpeqcKSzf7lCx5eR5VHAD1CAQUAcWlSXpZyM1PavVfHJm9VuakjBiqtdy//T3qKQ8Xzx/i32X8fSSqcl8+VaCDMfAVRdjgbA9Z3VBAFADpDMgQgLtmTbCqcly+p60nN7IJcLTtnvA7MCLzRJyczhbLaQASErsqjO5zNBhADGCYHIG75kprCks0BV5NzghhWM7sgV9NG9Ne9/yzVoWOOUG7fA4KarBVA6EVTQRQA8YVkCEBcm12QqynDB/i/JC1fMDHoG67tSTaNyDQ66fBcORwOq5sKoB2hLogyYWg/pTq4rw8AyRCABNAy8aF3B4g93S2I0p5Uh102G+8DAEiGAABAlPMVRKmqaehZlUcA2A8FFAAAQFTrSUEUAOgIyRAAAIh6voIoOZmBQ+ao8gigJxgmBwAAYsLsglzNyM9R2Zadqq5tUHZ6CvcBAugRkiEAABAz7Ek2TR7WP9LNABAnGCYHAAAAICGRDAEAAABISCRDAAAAABISyRAAAACAhEQyBAAAACAhkQwBAAAASEgkQwAAAAASEskQAAAAgIREMgQAAAAgIZEMAYgZbo/x/162ZWfAMgAAQFeRDAGICaXllTpxyRv+5QseXqdjb39VpeWVEWwVAACIZSRDAKJeaXmlFq7YqB3OxoD1VTUNWrhiIwkRAADoll6RbgAAdMTtMSpeWaG2BsQZSTZJRSUVmjJ8gOxJtjaPUd/ktrKJAAAgRpEMAYhqZVt2qrKmod3HjaQqZ4PGFq0OX6MAAEBcYJgcgKhWXdt+ItRVE4b2U6rDHrLjAdHG7TH6vMamlR9V6t0vvwu6yEjL7d7/D8VJgFCi+E90o2cIQFTLTk8JarvlCyZqUl5Wh9ukOuyy2doeSgfEutLyShWVbFaV0y5VfCxJys1MUeG8fM0uyO1wv9tLNuq1vcsXLC9T38x/d7ofgM6VlleqsGSzf/mCh9cF9bqUvElU2Zadqq5tUHZ6iiblZbU7HBzdRzIEIKpNystSbmaKqmoa2rxvyCYpJzNFU0cM5EMCCctXZGT/14ivyMiyc8a3+cXLt1+KGqSU4PcD0Lnuvi59+xavrAgYJh5sEoWuYZgcgKhmT7KpcF6+JG/i05JvuXBePokQElZnRUYkb5GR2gaX6pua/T+1DS4Vlmzu8n6tfyhQAuyvu6/L+qZmPbfpay1csbHV/bJUULUGPUMAot7sglwtO2d8q6tkOVwlAywrMkJxEqD7rHhdBltBVZL2cJEiaCRDAGLC7IJczcjPYfw0sJ9QFhnpCQqUAPtY9brkIkXokQwBiBn2JJsmD+sf6WYAUaW7RUbKtuzUBQ+v6/J+7aFACbBPd1+XL3xUqaue+ihk7ThqSF8uUnQiapKhr7/+WosXL9ZLL72k+vp6DR8+XA8//LAmTJgQ6aYBABC1ultkZOqIgf792kJxEqD7uvu6PLhfWlDH7+wihcvl0qpVq3XK3IlcpOhEVBRQ+P777zVlyhQ5HA699NJLqqio0N13361+/fpFumkAAES17hYZoTgJYJ3uvr58SVR7rzqbvFXlpo4YqLTevTr8SbaLRCgIUZEM3X777Ro8eLAefvhhTZo0SXl5eZo5c6aGDRsW6aYBABD1fEVGstOTA9bnZKZ0WL7Xt9+BGSld2g9A53yvr5zM4F9fXKQIv6gYJldSUqJZs2bppz/9qd544w0ddNBBuvjii3XRRRe1u09jY6MaGxv9y06nU5K3W9DlcvWoPb79e3octEZsrUFcrdGTuLbcJxTvS/GE89UaJ4waoCMXTtLRd7wlSXrw3CN17N6KUx3F+oRRAzTtsmOku73Lfz1vvMYPO6jT/RIJ56w1EiGuJ4waoGkjpmr9tu9VXduo7PRkTRjar8PX1wmjBuien43TTS9+qirnvu+6OZnJ+t2c0Tph1IBOY9bd2MbTZ1ewbbcZY9oayhhWKSnejHnRokX66U9/qnXr1umKK67Q/fffr/PPP7/NfYqKilRcXNxq/WOPPaa0tODGWwKAVZpdjTqt3HtB5+mCB9TLkdzJHkDPNbqlq8u81znvmNSs5CDvm7a7GzX3I+/5+vzhD8ht53wFIs1jpC+dNjldUoZDGpZhZHWHUDx9dtXX1+uss85STU2NMjIy2t0uKpKh3r17a8KECVq7dq1/3eWXX65169bp3XffbXOftnqGBg8erG+//bbDPzgYLpdLa9as0YwZM+RwOHp0LAQittYgrtboSVzrd9co84/eob41V3yptD6ZVjQxJnG+WqemrkETbntTkvTh9dOV1jvIASBNdXLcOVSS5Lpqm9T7AKuaGJM4Z61BXK3T3djG02eX0+nUgAEDOk2GomKYXG5urvLz8wPWHXbYYXr66afb3Sc5OVnJya2zVYfDEbIXVCiPhUDE1hrE1RrdiWvL7fl/aRtxCT2Ho7nF7w45HEF+zJvA81X8v7SJc9YaxNU6XY1tPH12Bdv2qCigMGXKFH322WcB6/79739r6NChEWoRAAAAgHgXFcnQr3/9a7333nu65ZZb9MUXX+ixxx7TX/7yF11yySWRbhoAAACAOBUVydDEiRP1zDPP6B//+IcKCgp04403aunSpTr77LMj3TQAAAAAcSoq7hmSpLlz52ru3LmRbgYAAACABBEVPUMAAAAAEG4kQwAAAAASEskQAAAAgIREMgQAAAAgIZEMAQAAAEhIJEMAAAAAElLUlNYGAABebo9R2Zadqq5tUHZ6iiblZcmeZIt0swAg7pAMAQAQRUrLK1W8skKVNQ3+dbmZKSqcl6/ZBbkRbBkAtC2WL+CQDAEAECVKyyu1cMVGmf3WV9U0aOGKjVp2zngSIgBRJdYv4HDPEAAAUcDtMSpeWdEqEZLkX1dUUqHaBpfqm5rb/NnT5A5nkwEkON8FnJaJkLTvAk5peWWEWhY8eoYAAIgCZVt2tvpC0ZKRVOVs0Nii1eFrFAC0o7MLODZJxSsrNCM/J6qHzNEzBABAFKiubT8R6qqjhvRVqsMesuMBwP6CuYBTWdOgsi07w9eobqBnCACAKJCdnhLUdssXTNSkvKw2H3O5XFq1arVOmTtRNlv0XokFEPuCvYATygs9ViAZAgAgCkzKy1JuZoqqahraHHZik5STmaKpIwa2O+TEZTNKtotECIDlgr2AE+x2kcIwOQAAooA9yabCefmSvIlPS77lwnn5UT32HkDi8F3Aae8dySZvVbn2erKjBckQAABRYnZBrpadM17ZGckB63MyUyirDSCqxMsFHJIhAACiyOyCXL286Dj/8vIFE/X24ukkQgCiTjxcwOGeIQAAokzLK6mxNJM7gMQzuyBXU4YP8Jf9X75gYof3NkYbeoYAAAAAdFssX8AhGQIAAACQkEiGAAAAACQkkiEAAAAACYlkCAAAAEBCIhkCAAAAkJAorQ0AUcTtMSrbslPVtQ3KTk+Juao8AADEEpIhAIgSpeWVKl5ZocqaBv+63MwUFc7Lj4mJ6wAAiDUMkwOAKFBaXqmFKzYGJEKSVFXToIUrNqq0vDJCLQMAIH7RMwQAEeb2GBWvrJBp4zEjySapqKRCU4YPCGrIXKrDLpuNoXUAAHSGZAgAIqxsy85WPUItGUlVzgaNLVod1PEmDO2nJ381mYQIAIBOkAwBQIRV17afCHXH+m3fa4/LrbTewb3FU7QBAJCoSIYAIMKy01OC2m75gomalJfV7uP1TW5NuOnlLj03RRsAAImMAgoAEGGT8rKUm5mi9vpibPImKFNHDFRa714d/Ni79LwUbQAAJDqSIQCIMHuSTYXz8iWpVULkWy6clx/SoWudFW2QvEUbahtcqm9q7vDHmLaOAgBA9GOYHABEgdkFuVp2zngVlmzWDmejf32ORUPWQlm0gYINAIBYRTIEAFFidkGupgwf4E9Ali+YqKkjBlpSzCCURRu6WrABAIBowScXAESRlomPlVXdQlG0oTsFGwAAiCbcMwQACSg0RRu6VrABABDd3J5994Cu3/Z9wHK8IhkCgAQUiaINAIDoVVpeqbn3vO1f/uXfNujY21+N+8qiJEMAkKB8RRuyM5ID1udkpmjZOeOZZwgAEoRvqoXq2saA9Ykw1QL3DAFAAgtn0QYAQPTpbKoFm7xTLUwZPqDdz4b6JreVTbQUyRAAJLhwFW0AAESfUE61EIsYJgcAAAAkqFBOtTBhaD+lOmKruA49QwAAAECCCsVUCz6pDnvMTcAdlT1Dt912m2w2m6688spINwUAAACIW6GZasH7E2uJkBSFydC6dev05z//WYcffnikmwIAAADEtUSfaiGqhsnt3r1bZ599th544AHddNNNHW7b2NioxsZ95f+cTqckyeVyyeVy9agdvv17ehy0RmytQVyt0ZO4ttynK+9LLldz4H624Ce86+6+4d+P87UzYY+tyyVHy2PY+L9piXPWGsTVOl2N7QmjBuien43TXS9sklrskpOZrN/NGa0TRg2Iuf+nYNtrM8ZEzdSy559/vrKysvSHP/xB06ZN0xFHHKGlS5e2uW1RUZGKi4tbrX/ssceUlpZmcUsBoGPNrkadVn6RJOnpggfUy5HcyR5ejW7p6jLvdao7JjUruQv3oXZ333Dvh86FO7Z2d6PmfuQ9X58//AG57cGdrwDii625UfM/9r4X/PGQBzSkb7JitUOovr5eZ511lmpqapSRkdHudlHTM/T4449r48aNWrduXVDbX3vttVq0aJF/2el0avDgwZo5c2aHf3AwXC6X1qxZoxkzZsjhcHS+A4JGbK1BXK3Rk7jW766Ryr2/n3jCdKX1yQxuv6ZmXV32qiRp1qyZSusd/Nt0d/cN936cr50Le2yb6qSP5H8+9T6gq02Oa5yz1iCu1unRe8HH3l8v/mlsvxf4Ro11JiqSoe3bt+uKK67QmjVrlJISXEWL5ORkJSe3vnLlcDhC9oIK5bEQiNhag7haoztxbbl9V/Z3mH2X4Lz7Bf823d19w71f4D6cr20Je2xN4Pkq/l/axDlrDeJqnUR+Lwj2746KZGjDhg2qrq7W+PHj/evcbrfefPNN3XvvvWpsbJTdzvgLAAAAAKETFcnQCSecoI8//jhg3YIFCzR69GgtXryYRAgAAABAyEVFMpSenq6CgoKAdQcccID69+/faj0AAAAAhELUzTMEAAAAAOEQFT1DbXn99dcj3QQAAAAAcYyeIQAAAAAJiWQIAAAAQEIiGQIAAACQkEiGAAAAACQkkiEAAAAACYlkCAAAAEBCIhkCAAAAkJBIhgAAAAAkpKiddBUAgFY8bmnbWmn3DqnPgdLQY6Qke6RbBQCIUSRDAIDYUFEilS6WnN/sW5cxSJp9u5Q/P3LtAgDELIbJAQCiX0WJ9MR5gYmQJDkrvesrSiLTLgBATKNnCADQLW6P8f9etmWnpo4YKHuSLfRP5HF7e4Rk2njQSLJ5Hz90WvwMmWtqVqoa9v5ep6A/rl0u2d2N3n2MowvPV9/lJgJAPCAZAgB0WWl5pQpLNvuXL3h4nXIzU1Q4L1+zC3JD+2Tb1rbuEQpgvI/fNji0zxtBaZI+Sdm7cFfw+zkkzZWkj0LeJACISwyTAwB0SWl5pRau2KgdzsaA9VU1DVq4YqNKyytD+4S7d4T2eGjf4B9IjrRItwIAwoaeIQBA0Nweo+KVFR0NWFNRSYWmDB/Q7pA5l6tZjW6pvqlZGb16yWbrZGhdnwODa9zZT3mry8WB+qZmHXXTy5KkDdedqLTewX1cu1wurVq1WrNmzZTD0YVhcj6ONKmz/w8AiCMkQwCAoJVt2anKmoZ2HzeSqpwNGlu0upMj9dLVZa9qwtB+evJXkztOiIYe460a56xU2/cN2byPD5seP/cMqVl7tHecXO8DpCCTIdlcctuTvft0JxkCgATDMDkAQNCqa9tPhLpj/bbvtcfl7nijJLu3fLYkb99TS3uXZ98WR4kQACBc6BkCAAQtOz2l840kLV8wUZPystp8zOVyaeVLq3Xd+i58BOXPl05/VHrpaqm2xT1JGYO8iRDzDAEAuoFkCAAQtEl5WcrNTFFVTUN7A9aUk5nSYZltl82od3fGJeTP95bP9lWNO/upsAyNc3uMyrbsVHVtg7LTUzQpL8uaEuIAgLAjGQIABM2eZFPhvHwtXLFRNgXeweNLDwrn5VuXLLRMfIYeY3kiVFpeqeKVFQH3SVlWQhwAEHbcMwQAVvDsuw8m6at3A5Zj3eyCXC07Z7xyMgOHzOVkpmjZOePjJknwlRDfv2CEZSXEAQBhR88QAIRaRYlSXrzav5jyxBl77225PW7ubZldkKsZ+TlxO3wsFCXEfVId9s7LhwMAIoJkCABCqaJEeuI82fb/Gu2slJ44z1sEIE4SInuSTZOH9Y90MywRuhLiCq58OAAgIkiGACBUPG6pdLEk06oAtL8/oXSxtwhAe/e6NDUrVXu/hDfVqUtv093dtyfP2R0ul+yeRqWquevP2VRvWbNaCmUJcV/58GAnTgUAhA/vzAAQKtvWSs5vOtjAeB/3VUNrQ5qkT3y34tzVtafv7r49ec7ucEg6TdJpYXzOrgpFCfH6Jrcm3PRyKJsFAAgxkiEACJXdOyLdgsQx+AeSI82yw4eihDgAIPqRDAFAqPQ5MLjtzn7KWxa6DfVNzTpqb2/ChutO7NLQqu7u25Pn7A6Xy6WSl1bruvX27j+nI02y8B6ciJcQBwCEBckQAITK0GO8VeOclVJ7/QkZgzqZKLRZe7R3iFbvA6QuJQnd3bcnz9kNNpfcScna4/sICsdzdoOvhHhhyWbtcDb61+cEOc+Q27PvHCjbspNeJACIQswzBAChkmT3ls9WWyUU9i7Pvs3yiUIROrMLcvXyouP8y8sXTNTbi6d3mgiVllfqxCVv+JcveHidjr39VeYmAoAoQzIEAKGUP186/VGZ9MAvyyZjUFyV1U4kLXtzgplLyTdZa8veJInJWgEgGkXfuAQAiHGlnokqbliqoU0fKVu7VK2+2t4wTtd7xmp2pBsHS4Vqstb6JrdVTQQAtEAyBAAh5OsVMJIqle9fb3O6tHDFRi07Z3ynQ6wQem6PUdmWnaqubVB2ekpQPTzdEcrJWgEA1iMZAoAQCUWvAD0CoVdaXqnilRUBSUpukEUQuiqUk7VK0oSh/ZTq4B4zALAKyRAAhAi9AtGnZU9dS777d0LdUxeKyVpbSnXYZbOwhDgAJDqSIQAIkVD2CtAj0HORuH+HyVoBILaQDAFAiISyV4AegZ6LRE8dk7UCQGyhtDYAhIivV6C9r7k2ee9VmTpioNJ69+rwh0So5yJ1/45vstaczMDkOCczhQIaABBl6BkCgBChVyC6RPL+ndkFuZqRnxOWCnYAgO4jGQKAEPL1CuxfvSzHouplaF+k79+xJ9k0eVj/kB8XABA6JEMAEGL0CkQHeuoAAJ0hGQIAC9ArEB18PXWFJZu1w9noX09PHQBAIhkCAMS52QW5mjJ8gL9q3PIFEyltDQCQFCXV5G699VZNnDhR6enpys7O1imnnKLPPvss0s0CgJji9uwbCFa2ZWfAcqJrmfgwZBEA4BMVydAbb7yhSy65RO+9957WrFkjl8ulmTNnqq6uLtJNA4CYUFpeqROXvOFfvuDhdTr29ldVWl4ZwVYBABDdomKYXGlpacDy8uXLlZ2drQ0bNuiHP/xhhFoFALGhtLxSC1dsbFUxraqmQQtXbGRuGwAA2hEVydD+ampqJElZWe3P+9DY2KjGxn03wzqdTkmSy+WSy+Xq0fP79u/pcdAasbUGcbVGLMTV7TEqKtncZuloI2/VtMKSzZo0NLPdoWF7mtz+310ul1w2a4fX7R/P8Dxnc1ifL1Ji4ZyNRcTVGsTVOt2OrcslR8tj2GL3/ybYv91mjImqTwSPx6P58+dr165devvtt9vdrqioSMXFxa3WP/bYY0pLS7OyiQAQNT6vseneCnvIjnfHpGYlh+5w7Wp0S1eX9Qrbc4b7+QAgFtndjZr70UWSpOcPf0Bue3KEW9R99fX1Ouuss1RTU6OMjIx2t4u6ZGjhwoV66aWX9Pbbb+vggw9ud7u2eoYGDx6sb7/9tsM/OBgul0tr1qzRjBkz5HA4Ot8BQSO21iCu1oiFuK78qFKLnvw4JMc6akhf/eMXE2WzWVtcwOVy6fnSNf7k5MPrpyutt7UDFeqbmjXuxlfD9nyREgvnbCwirtYgrtbpdmyb6uS4c6j3GFdtk3ofYFELred0OjVgwIBOk6Go+jS49NJL9fzzz+vNN9/sMBGSpOTkZCUnt85WHQ5HyF5QoTwWAhFbaxBXa0RzXHP7BvdBtXzBRE3Ka3/osSSlOuyWJ0Jt8cbX2o8jh9n3d4Xj+SItms/ZWEZcrUFcrdPl2Jp92zocDimG/1+C/buj4tPAGKPLLrtMzzzzjF5//XXl5eVFukkAEBMm5WUpNzNFVTUNbd43ZJN3glHm1QEAoLWoKK19ySWXaMWKFXrssceUnp6uqqoqVVVVac+ePZFuGgBENXuSTYXz8iV5E5+WfMuF8/JJhAAAaENUJEPLli1TTU2Npk2bptzcXP/PP//5z0g3DQCi3uyCXC07Z7xyMlMC1udkplBWGwCADkTNMDkAQPfNLsjVjPwclW3ZqeraBmWnp2hSXhY9QgCA4Hn2TbWgbWulYdOlpPguvxkVyRAAoOfsSTZNHtY/0s0AAMSiihLppav3Lf/9J1LGIGn27VL+/Mi1y2JRMUwOAAAAQIRUlEhPnCfVVgaud1Z611eURKZdYUAyBAAAACQqj1sqXSy1WZN077rSawKH0MURkiEAAAAgUW1bKzm/6WADIzm/9m4Xh0iGAAAAgES1e0dot4sxJEMAAABAoupzYGi3izEkQwAAAECiGnqMt2pcq6m7fWxSxkHe7eIQyRAAAACQqJLs3vLZklonRHuXZ98Wt/MNkQwBAAAAiSx/vnT6o1JGbuD6jEHe9XE8zxCTrgIAAACJLn++NPpH3qpxu3d47xEaekzc9gj5kAwBAAAA8CY+eVMj3YqwYpgcAAAAgIREMgQAAAAgIZEMAQAAAEhIJEMAAAAAEhLJEAAAAICERDIEAAAAICGRDAEAAABISCRDAAAAABISyRAAAACAhEQyBAAAACAhkQwBAAAASEgkQwAAAAASEskQAAAAgIREMgQAAAAgIZEMAQAAAEhIJEMAAAAAEhLJEAAAAICERDIEAAAAICGRDAEAAABISCRDAAAAABISyRAAAACAhEQyBAAAACAhkQwBAAAASEgkQwAAAAASEskQAAAAgIREMgQAAAAgIZEMAQAAAEhIJEMAAAAAElKvSDcAAIBguT1GZVt2qrq2QdnpKZqUlyV7ki3SzQIAxCiSIQBATCgtr1TxygpV1jT41+VmpqhwXr5mF+RGsGUAgFjFMDkAQNQrLa/UwhUbAxIhSaqqadDCFRtVWl4ZoZYBAGIZyRAAIOw8Zt/vZVt2yt1yxX7cHqPilRVqawvfuqKSCtU2uFTf1NzOjzuk7QcAxIeoGiZ333336c4771RVVZXGjRune+65R5MmTYp0swAAIbRq8w7d+qHdv3zBw+s6HO5WtmVnqx6hloykKmeDxhattqK5AIA4FjU9Q//85z+1aNEiFRYWauPGjRo3bpxmzZql6urqSDcNABAipeWVuuzxD1XTFLi+o+Fu1bXtJ0JdNWFoP6U67J1vCABICFHTM7RkyRJddNFFWrBggSTp/vvv1wsvvKCHHnpI11xzTYRbBwDoqcDhboEV4MzeNUUlFZoyfEBAhbjMVEdQx1++YKIm5WV1uE2qwy6bjepzAACvqEiGmpqatGHDBl177bX+dUlJSTrxxBP17rvvtrlPY2OjGhsb/ctOp1OS5HK55HK5etQe3/49PQ5aI7bWIK7WIK6h9b5Fw91sknIyk/WDQ/rKbmv/3iNJam5u7tKxYw3nrDWIqzWIq3WIbfB/u80Y0/EnRxh88803Ouigg7R27VpNnjzZv/7qq6/WG2+8offff7/VPkVFRSouLm61/rHHHlNaWpql7QUAdN2Gb2169PNQD1HzfoT9fKRH4/pH/OMMABAl6uvrddZZZ6mmpkYZGRntbhcVPUPdce2112rRokX+ZafTqcGDB2vmzJkd/sHBcLlcWrNmjWbMmCGHI7jhGQgOsbUGcbUGcQ2t/lt26tHP13e63YPnHqmJh/Rrtf7lT6p1x6rPtaN236iA3MwU/W7OaM0ac2BI2xqrOGetQVytQVytQ2z3jRrrTFQkQwMGDJDdbteOHTsC1u/YsUM5OTlt7pOcnKzk5ORW6x0OR8j+00N5LAQittYgrtYgrqExeXi2cjNTVFXT0GaZbO9wtxQdf1huwD1DPqdNGKpTxg9R2Zadqq5tUHZ6iiblZbW5baLjnLUGcbUGcbVOIsc22L87KqrJ9e7dW0cddZReeeUV/zqPx6NXXnklYNgcACB22ZNsKpyXv3cpMB3ypTOF8/I7TG7sSTZNHtZfJx9xkCYP608iBADokahIhiRp0aJFeuCBB/TII4/ok08+0cKFC1VXV+evLgcAiH2zC3J1z8/GqW/vwPU5mSlads74NucZAgDAKlExTE6SzjjjDP3f//2fbrjhBlVVVemII45QaWmpDjyQceAAEE9mjTlQrq1uDcz/gb6rb2a4GwAgYqImGZKkSy+9VJdeemmkmwEAsFiSTTo6Lythx7IDAKJD1AyTAwAAAIBwIhkCAAAAkJBIhgAAAAAkJJIhAAAAAAmJZAgAAABAQiIZAgAAAJCQSIYAAAAAJCSSIQAAAAAJiWQIAAAAQEIiGQIAAACQkHpFugGhYoyRJDmdzh4fy+Vyqb6+Xk6nUw6Ho8fHwz7E1hrE1RrE1RrE1TrE1hrE1RrE1TrEdl9O4MsR2hM3yVBtba0kafDgwRFuCQAAAIBoUFtbq8zMzHYft5nO0qUY4fF49M033yg9PV02m61Hx3I6nRo8eLC2b9+ujIyMELUQErG1CnG1BnG1BnG1DrG1BnG1BnG1DrH19gjV1tZq0KBBSkpq/86guOkZSkpK0sEHHxzSY2ZkZCTsCWQ1YmsN4moN4moN4modYmsN4moN4mqdRI9tRz1CPhRQAAAAAJCQSIYAAAAAJCSSoTYkJyersLBQycnJkW5K3CG21iCu1iCu1iCu1iG21iCu1iCu1iG2wYubAgoAAAAA0BX0DAEAAABISCRDAAAAABISyRAAAACAhEQyBAAAACAhkQwBAAAASEgJnwx5PJ5INyEuUaTQGsTVGsTVGsTVOsTWGsQ1dIilNYhr6PWKdAPC7X//939VXl6ugoICnX766RowYECkmxQX7rnnHr377rsaOXKkzjvvPB166KGRblJcIK7WIK7WIK7WIbbWIK7WWLp0qV555RUNHjxY559/vo488kj17t070s2KecTVGgnTM1RZWanjjjtOd911l3bt2qVbb71V06ZN06uvvhrppsW0nTt3as6cOVqyZImysrL0j3/8Q7NmzdJDDz0U6abFNOJqDeJqDeJqHWJrDeJqjbq6Op122mn64x//qCOPPFLr16/XueeeqxtvvDHSTYtpxNViJkE88cQTJj8/33z77bfGGGOamprMlClTzI9+9CPz/vvvR7h1sWv16tVm5MiR5j//+Y9/3dlnn22OPvpoU1paGsGWxTbiag3iag3iah1iaw3iao2ysjIzYsQIs3HjRv+6G264wQwbNsz84x//iGDLYhtxtVbc9wx5PB4ZY/Txxx8rMzNTKSkpkiSHw6GbbrpJTqeTK0Hd4LvXavv27fJ4PMrIyPA/dvXVVys3N1d33313pJoXs4irNYirNYirdYitNYirNXxx3bVrl7777jsNHDjQ/9gvfvELTZs2Tddff32kmheziGt4xGUy9Nprr+mtt97S//3f/8lms8lms6m5uVl1dXUyxvhPrmnTpun4449XeXm5Xn755Qi3OvqtXr1ab7zxhr777jslJXlPnbq6OjkcDn377bf+7Q4//HDNnz9f3377rf7+979Hqrkxo7S0VM8995y2bNmi5uZmScQ1FDhfrcH5ah3OWWtwzlpj5cqVevrpp/XVV1/J7XZLkmpqanTQQQfpk08+8W83ePBgnX322UpKSiLRDEJJSYkeeughbdq0SQ0NDZKIq+Ui3TUVSu+88445/PDDzbBhw8ywYcPMUUcdZVauXGmMMebzzz83vXr18i+7XC5jjDEVFRXmsMMOM/fcc0/E2h3tysvLzdixY81BBx1kDjnkEHPkkUea+++/3xhjTE1NjUlOTjb33ntvwD7btm0zJ5xwglm0aJE/1gi0du1aU1BQYIYNG2by8/PNYYcdZv73f//XGENce4Lz1Rqcr9bhnLUG56w1Pv30U3PEEUeYgw8+2IwePdoMHz7c/Pa3vzXGGFNfX2+GDBlirrnmGlNXV+ff59tvvzUXXHCBOfXUU019fX2kmh7V3n33Xf/5OmHCBJOXl2euueYaYwxxtVpc9Ay53W7dc889+slPfqL58+frnXfe0XPPPSebzaY333xTHo9HeXl5Ov3003XNNdfI4/GoVy9vIb3DDjtMubm5WrdunSRKFrblnnvu0ciRI/Xhhx/q+eef1+TJk1VYWKjnnntOGRkZWrhwoW6//XZt3brVv8+QIUM0cOBAffbZZ+rVqxdxbcEYo4ceekg//elPdcopp2j9+vV6/vnnNXbsWL311lvatWuXMjIydNlllxHXbuB8DS3OV+txzoYW56y1Hn74YWVnZ2vz5s1atWqVfvWrX2np0qX6y1/+otTUVF1++eVatmyZ1q9f79+nf//+ysrKUnV1tVJTUyPY+uj0j3/8Q2eccYZOPvlkffDBB1q5cqVOP/10vf322/r666/9cb3//vuJqwXiIhlqaGhQSkqK/vSnP6moqEgDBgzQmDFjNGLECGVmZiopKUl2u13XXnut/vvf/+qGG26Qy+WSJP+/ubm5kiSbzRaxvyMafffdd3r88cd1yimnqH///hozZoyuu+46zZ07VxdffLEk6ZZbblFTU5OKi4tVVVXl39cYo+zsbBljiGsLzc3NysrK0m233aYbbrhBGRkZysvL06BBg3TwwQerb9++kqTCwkK5XC7i2gWcr6HH+WotztnQ45y1zp49e/T3v/9dc+bMUUZGhoYMGaLLLrtMixYt0tVXX62vvvpKv/nNbzRkyBD94Q9/0EcffeTft7m5Wf369fMPVcQ+Q4YM0fXXX6/f/e536tOnj3JycpSZmamCggIddNBBkqTf/OY3Ovjgg7V06VLiGmrh7IayUmVlpWlsbPQvP/LII6Z///7mF7/4hbn//vvNV199ZYwx5q9//avJyMgw5513niktLTW33nqryc3NNW+++Wakmh7Vdu7cacaPH2/uvvvugPXl5eVm4MCBprCw0BhjzMqVK01eXp6ZPn26+fvf/25uvvlmM2DAAPP8889HoNXR7/vvvw84X//2t7+Zvn37mvnz55tbbrnFbNiwwRhjTElJCXHtAs5Xa3C+Wodz1hqcs6Hn8XiMMcYcc8wx5sorrwxYV1NTY0aMGGEuuugiY4wxb7zxhpk8ebIZPXq0+eMf/2iKiopMVlaW+fvf/x6Zxke5+vp609TU5F/2na/HHHOMWbRokXnppZeMMca8/vrrxNUCMZsMeTwe09zc3OZjF154oXE4HGbx4sXmiiuuMEcddZQ5/vjjze7du40xxjz44INm1qxZZty4cWbkyJHmhRdeCGfTo17LuNbW1pqTTjrJXHTRRWbHjh3+9Y2NjaawsNAcfPDB/riuWbPGnHHGGWbKlClmzJgxfJjsp73zddGiRSY9Pd3ccMMNpri42MyYMcMccsghpqamxhjjLQFLXNvH+WoNzlfrcM5ag3PWGi3j2tDQYC6++GJz0kkn+cuSu91uY4z3u1VKSorZuXOnMcZ7T/bChQvNnDlzzJFHHum/Zxte7Z2vt956qznooIPMjTfeaP70pz+ZM88809jtdlNdXW2MMWbz5s3ENcRiJhmqra01f/3rX8327dsD1jc2NvpvGvPd7PjFF1+YyspK/zbPPfecKSgoaHXCtJxfIFE1Nzf7r+y01NDQYL777jtjjDFLliwxo0aNMv/6178CtnnhhRfMuHHjzHvvvRewvuUHeqLqKK67du0yxhj/VaBvvvkmIGYffvihGTlypPnLX/4SsC9xDdQyvpyvobN/XDlfQ4dz1hqcs9arr683VVVVxhhjVqxYYcaPH2+WLFkSsM3HH39sRo8e3eo8rq2tDVs7Y019fb0/yfGdr9XV1eb//u///Nvs2rXLDB8+3BQVFQXsS1xDJybuGbrxxhvVt29f/eIXv/Cv83g8WrdunSZMmKCnnnpKkvxFEYYNG6acnBz/+Mnk5GR99tlnGjBggH9fScrLywvnnxF17rzzTp122mn6n//5H73//vv+0pjl5eU69thjtXTpUknSr3/9a/Xr10+PP/54wDjVlJQUbd682T/+2uy90TQ7Ozusf0e06Syuf/jDHyR557qSpJycHGVnZ/u3q6+vV2Vlpf8+Nt/5muhxvffee1VYWKgnnnhCjY2N/rH8nK8901lcOV+77w9/+IMuvfRSLVu2TE6n0x/bjz/+mHO2BzqLK+ds9zz77LP67rvvWq3funWrZs6cqUWLFkmSzj77bI0aNUovvviiXn/9df92TU1N2r59u3JyciTtO1/79OljfeOjWLBx9Z2vAwYM0IABA/zn5ddff636+noNHjxYEnG1QlQnQ//617+Um5urFStW6M4779To0aP16quvSpKSkpJ0xBFHyOFwyO12+9/kWurVq5caGhr08ssv69RTT9Xhhx/u3zeRlZeXa/z48Xr00Uc1YcIErV+/XhdeeKE+/fRTSdLo0aM1dOhQZWdna8+ePZKk4uJibd26Vb/97W/1xRdfqKamRmvWrNGMGTP8b3yJfqNpsHEdMGCAv3CHtC9udrtdLpdLL730ko477jhNnjxZEufrBx98oMMPP1z333+/Pv/8cy1evFizZs1SRUWFJG9chwwZwvnaRcHGlfO167Zt26ZJkybp/vvv186dO1VcXKwTTjhBb775piRvFVPO2a4LNq6cs13z/vvv68gjj9Spp56qBx98sNXjQ4YM0dFHH62xY8eqvr5ekjeBT05O1iWXXKKNGzdqx44deumllzRu3Dgdcsghkjhfg43rmDFj1NjY6F/vi1tSUpKam5v1zDPPaPTo0ZoxY0bA4wihiPZLtcPj8Zhzzz3X2Gw2s3TpUmOMMXV1debggw82DzzwgDHG+G+M/Pbbb1vtv3v3brN27Vrz1FNPmXHjxpnDDjvMvPXWW+H7A6LcddddZ+bMmeMfr1pXV2dsNltAjL7//vtW+z3//PNmwoQJZsiQIebQQw81ubm5ZvXq1eFqdtTrblzr6urMO++8Y1asWGHGjRtnRowYYV577bUwtTr6XX755ebMM8/0L9fV1Zn09HRz6qmnms8++8wYY/zDjVrifO1Yd+PK+dq5hx56yBxxxBHG6XQaY4xxOp1m0qRJ5uSTT/bfuN/WZxfnbMe6G1fO2fZ9+eWX5vzzzzcXXnih+c1vfmP69+9vvvzyS//jvs8z331rLW3atMmccMIJZvDgweaQQw4xubm55sUXXwxb26NZT+K6Z88e8/bbb5sHH3zQjBs3zuTl5Zk1a9aEre2JKCqTIWOM+eCDD/w34fluzps6dao577zzAta15b///a85//zzTX5+vrn++uutb2wM2bVrl5kwYYK56qqr/DH89NNPzdy5c82WLVva3KdlrHft2mXKysrMU089FY7mxozuxNWnsrLSXHXVVWb8+PH+ylHwqqqqMgMHDjQrVqwwxhj/Dc+nnnqqSU9PbzWG2hjO12B0J64+nK8dc7vdZtGiRWb69OkB1cxefPFFM2XKFHP55Ze3uY8P52zbuhNXH87Z9n3//ffmr3/9q/nggw9MY2OjGTVqlPn5z3/e4T4tz9fGxkbz+eefkwTtpztx9fn222/NXXfdZSZPnmyKi4stbimMiaJk6N133zVff/11q/W+GyMbGxvNwoULzYwZM9q8aezll182Dz30kD/L3rx5MzeXGW9cv/nmm4B1Z555phkxYoRZsmSJueuuu0yfPn1MXl6eycnJMRdeeKFZu3atf9u3337b3HLLLf4bUuEVqrj6eoq2bNnS5hWiRNNWXMeMGWP+3//7fwHrTj75ZHP00UebmTNnmoqKCv96zte2hSqunK+ttXWuXX755eboo482e/bsCfjiePXVV5upU6cG9BZzzrYtVHHlnA3UVlxbVjV75plnjN1ub3e6kfXr15vLLrvMf4N/RxemE0mo4uor4lFVVeUvDgbrRTwZevvtt83IkSPN4MGDzZAhQ8zZZ5/t/xD2JUK+fxcvXmzGjh0bsM7nwgsvNDk5OaasrCyMrY9ebcX1o48+MsZ4h74UFhaac845x/Tv3988+uijprKy0qxcudJMmzbNLFiwwDQ0NBhjjCksLDQ5OTlc9dkr1HGlrLvX/nE966yzzCeffGKMMea+++4zNpvNLFq0yNx7773moIMOMmeccYZ59tlnTUpKivnggw/8xykqKuJ8bSHUceV83efNN980Y8eONb/97W/9X7J9FU03bdpkkpKSzOuvvx6wfsOGDWbkyJHmoYce8h+HczZQqOPKOevVVlz35/teNWvWLHPccceZPXv2tNrmwQcfNDk5OeaRRx6xtL2xItRxXb58uaXtRdsimgxVVVWZ4447zvzmN78xX3zxhSkpKTHDhw838+bN839gNzc3+688rF692qSmppovvvjCGOM9wXyPVVdXMzfAXh3Ftby83L/d9ddfb84999yAxHLRokXmmGOO8d8r8P333zO2ei/iao324jp37lzz+eefG2O88y7MnTvXDB8+3Nx0003+fQcPHuwf6mUMcW2JuFrD7Xabv/3tbyY/P98cdthhJjs727z//vsB2zQ1NZn58+ebiRMnGmMCL95NmDDBXHbZZf5lYutFXK0RTFz39+GHH5pevXqZRx991BjjjbOvx8LpdHLR2RDXeBPRZOidd94xKSkp/ivrxnhvIJ0+fbr/3qCWVq9ebUaOHGlWrVoVsL6t+VwSWbBxnTJlirnzzjuNMfu6uq+44goza9asdicDS2TE1RrtxfX444835557rn/d/lfd1qxZY/r16+f/AGK4RiDiao36+nrz5z//2RQWFpq6ujozbNgwc9ZZZ7UqjrJ+/XqTlpZmbr31Vn8PRl1dnZk8ebI/8eSzax/iao1g47q/Sy+91IwcOdK8+uqrZt68eebXv/41wwxbIK7xJaLJUElJiRk3bpz58MMPA9bfddddJj8/39+97XvDczqdJj093TzxxBPGGD6k29NZXEtKSowx3nHWAwYMME8//bT55JNPzE033WRyc3PNY489FolmRz3iao3O4rp/j29zc7NxOp3mkksuMaeeeirjqttBXK2zfft2/z0Cq1evNjabzZSUlLT6En7fffeZvn37mgsuuMC8/PLL5oYbbjAHHXSQWbduXSSaHfWIqzWCjWtL5eXlxmazGZvNZqZOndrqnkMQ13gSkWTId6L85z//Mampqa2+JFZUVJi5c+eaX/3qV/5t3W632b17txk9ejQV4trRlbga472aNn36dDNkyBAzYsQIM3bsWPPKK6+Evd3Rjrhao6txNcaY999/3/z+9783Q4cONYcddpi/nC72Ia7h4+vpnTlzpjnmmGPMf//731bb/PnPfzbTp08348aNM/n5+ebVV18NdzNjDnG1RjBxdbvd5umnnzZpaWlm7Nix5p133gl3M2MOcY19EesZ8vXqnHHGGWbChAmtuhZ9leMaGxv92zY3NzOmshPBxPXEE0/038C3e/dus3XrVvPuu++Gu6kxhbhaI9j3AV/hierqanPNNdf45xtD24hrePi+BG3dutXYbDZz7733+kcy+P5tmZwiOMTVGh3F1RfPPXv2mPvvv98/xyM6R1xjn2XJkG8IRnvdhb71//73v01ycrK56667Aips3HHHHWbQoEGmqanJqibGJOJqDeJqDeJqDeJqnc5iuz/fl54rrrjCDBkyxHz22Wfm3//+t/nTn/7U6f0DiYS4WiOUcfXN7QjimmhCngy99tprZsSIEcZms5mVK1caYzq/t+fWW281AwYMMMuWLTM1NTWmvr7enHzyyeaqq64KdfNiFnG1BnG1BnG1BnG1Tndia0zgl6X+/fubww8/3NhsNvPjH/+YuYMMcbUKcbUGcU1MNmOMUYhs2LBBv//975Wdna2amhp9+OGH+uyzz4La98orr9S//vUvDRw4UE6nU8YYPfnkkzryyCND1byYRVytQVytQVytQVyt05PYSlJ9fb1WrVqlc889V4cccohuvvlmnXzyyRa2ODYQV2sQV2sQ1wQWysxq+/bt5u677zaffvqpqaioMP369TN33HGHMab9zNo31rKxsdF89NFH5qGHHjIPP/xwKJsV84irNYirNYirNYirdboT25bWrFljHA6HueGGG6xuakwhrtYgrtYgromrR8nQ2rVrW5UF9I1B93g85qabbjJ9+vTxTzRJ7f/gEFdrEFdrEFdrEFfrhDq2TqeTUuSGuFqFuFqDuMKnW8nQyy+/bPLy8szQoUPNwQcfbC666CLz2WefGWO8J4vvhPn666/NYYcdZi644AL/Y2gfcbUGcbUGcbUGcbUOsbUGcbUGcbUGccX+upwMffXVV+YHP/iBuf76680XX3xhnnzySXPooYeaU0891WzdutUYs6+qhjHGPPbYY8Zms5mNGzcaY7xZN7PttkZcrUFcrUFcrUFcrUNsrUFcrUFcrUFc0ZYuJ0OrV682qamp5osvvvCve/rpp80Pf/hD88tf/tK/zpdBO51OM2fOHHPccceZjz76yMyZM8fcf//9/rHs8CKu1iCu1iCu1iCu1iG21iCu1iCu1iCuaEtSVwsu7Ny5U4cddpjcbrd/3cknn6xZs2bprbfe0htvvCFJ8ng8kqT09HRddNFFevPNNzVu3Dg1NDTo9NNPl91uD1EJiPhAXK1BXK1BXK1BXK1DbK1BXK1BXK1BXNGWLidDY8aMUUVFhT799FP/OrvdrpNOOkmDBw/Wc88951/ncrn06KOP6swzz9SECRNUVlamV199Vf369QvdXxAniKs1iKs1iKs1iKt1iK01iKs1iKs1iCva0uVkqKCgQMcff7yWLFmi3bt3+9cfccQRys7O1n/+8x9/Rl1XV6fy8nItXbpUZWVlmjBhQuhaHmeIqzWIqzWIqzWIq3WIrTWIqzWIqzWIK9rUnbF1mzZtMr169TLLli0zjY2N/vW/+93vzPDhw0M2hi/REFdrEFdrEFdrEFfrEFtrEFdrEFdrEFfsr1d3Eqhx48Zp8eLFuvHGG+VwOPSzn/1MHo9H69ev1znnnBPqfC1hEFdrEFdrEFdrEFfrEFtrEFdrEFdrEFfsz2aMMd3d+ZJLLtEzzzyjIUOGqKqqSgcccICefPJJ5efnh7KNCYe4WoO4WoO4WoO4WofYWoO4WoO4WoO4wqdHyVBDQ4M++eQTbdy4UcnJyWTUIUJcrUFcrUFcrUFcrUNsrUFcrUFcrUFc4dOjZAgAAAAAYlWXq8kBAAAAQDwgGQIAAACQkEiGAAAAACQkkiEAAAAACYlkCAAAAEBCIhkCAAAAkJBIhgAAAAAkJJIhAAAAAAmJZAgAAABAQiIZAgAAAJCQSIYAAAAAJCSSIQAAAAAJ6f8DeWujCdyV0N4AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = sample_power.plot(drawstyle=\"steps-post\", marker=\"o\")\n", "sample_power_30min.plot(drawstyle=\"steps-post\", ax=ax, marker=\"o\")\n", "ax.legend([\"5min\", \"30min\"]);" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initial total energy: 120762.21 kWh\n", "Resampled total energy: 120762.21 kWh\n", "Ratio: 100.00%\n" ] } ], "source": [ "resampled_total_energy = eat.power.to_energy(sample_power_30min).sum()\n", "print(f\"Initial total energy: {initial_total_energy:.2f} kWh\")\n", "print(f\"Resampled total energy: {resampled_total_energy:.2f} kWh\")\n", "print(f\"Ratio: {resampled_total_energy / initial_total_energy:.2%}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Changing the resampling default arguments\n", "\n", "This section shows how to change the default arguments\n", "\n", "#### Changing the Origin\n", "\n", "The first timestep of the initial series is a bit arbitrary.\n", "When resampling, it would make sens to have the new indexes aligned with the \"whole frequency\"" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Timestamp('2019-01-01 07:35:25')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample_power.index[0]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Default origin: 2019-01-01 07:35:25\n", "Ceil origin: 2019-01-01 08:00:00 (start to the previous whole timestamp)\n", "Floor origin: 2019-01-01 07:30:00 (start to the next whole timestamp)\n", "Timestamp origin: 2019-01-01 07:25:00 (start to any arbitrary timestamp)\n" ] } ], "source": [ "default_origin = eat.power.to_freq(sample_power[\"power\"], \"30min\")\n", "ceil_origin = eat.power.to_freq(sample_power[\"power\"], \"30min\", origin=\"ceil\")\n", "floor_origin = eat.power.to_freq(sample_power[\"power\"], \"30min\", origin=\"floor\")\n", "ts_origin = eat.power.to_freq(sample_power[\"power\"], \"30min\", origin=sample_power.index[0] + pd.DateOffset(minute=25, second=0))\n", "\n", "print(f\"Default origin: {default_origin.index[0]}\")\n", "print(f\"Ceil origin: {ceil_origin.index[0]} (start to the previous whole timestamp)\" )\n", "print(f\"Floor origin: {floor_origin.index[0]} (start to the next whole timestamp)\")\n", "print(f\"Timestamp origin: {ts_origin.index[0]} (start to any arbitrary timestamp)\")" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "power 402.540707\n", "dtype: float64" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample_power.sum()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = sample_power.plot(\n", " drawstyle=\"steps-post\",\n", " marker=\"o\",\n", " label=f\"initial, E={eat.power.to_energy(sample_power).sum()}\",\n", ")\n", "default_origin.plot(\n", " drawstyle=\"steps-post\",\n", " ax=ax,\n", " marker=\"o\",\n", " label=f\"default, E={eat.power.to_energy(default_origin).sum():.1e} kWh\",\n", ")\n", "ceil_origin.plot(\n", " drawstyle=\"steps-post\",\n", " ax=ax,\n", " marker=\"o\",\n", " label=f\"ceil, E={eat.power.to_energy(ceil_origin).sum():.1e} kWh\",\n", ")\n", "floor_origin.plot(\n", " drawstyle=\"steps-post\",\n", " ax=ax,\n", " marker=\"o\",\n", " label=f\"floor, E={eat.power.to_energy(floor_origin).sum():.1e} kWh\",\n", ")\n", "ts_origin.plot(\n", " drawstyle=\"steps-post\",\n", " ax=ax,\n", " marker=\"o\",\n", " label=f\"timestamp, E={eat.power.to_energy(ts_origin).sum():.1e} kWh\",\n", ")\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Depending of the relative position of the target first timestamp, and the initial first timestamp, the energy may not be conserved.\n", "\n", "#### Changing the last timestep duration\n", "\n", "By default, the last timestep duration is the same as the last timestep. \n", "\n", "In the scenarios where there is only one entry, or when the user wishes to change the last time duration, proceed as follow.\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "resampled_power_series = eat.power.to_freq(sample_power[\"power\"], \"30min\", last_step_duration= pd.Timedelta(minutes=5).seconds)" ] }, { "cell_type": "markdown", "id": "c0f9bd91-5f20-4e5f-b58d-df8d4edab6f1", "metadata": {}, "source": [ "### Conclusion about power resampling" ] }, { "cell_type": "markdown", "id": "14f3a530-c907-4530-9c6c-8aaad4b54ec2", "metadata": {}, "source": [ "As demonstrated in this notebook, `eat.power` offers a versatile and efficient way of resampling power timeseries." ] }, { "cell_type": "markdown", "id": "22290615-c9b3-4972-bf0d-efcfe88f9c7b", "metadata": {}, "source": [ "## Resampling Energy data\n", "\n", "Similarly, energy timeseries can be resampled using `eat.energy`." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "sample_energy = eat.power.to_energy(sample_power[\"power\"])" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "sample_energy_1min = eat.energy.to_freq(sample_energy, \"1min\")" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = sample_energy.plot(drawstyle=\"steps-post\", marker=\"o\")\n", "sample_energy_1min.plot(drawstyle=\"steps-post\", ax=ax, marker=\"o\")\n", "ax.legend([\"5min\", \"1min\"]);" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initial total energy: 120762.21 kWh\n", "Resampled total energy: 120762.21 kWh\n", "Ratio: 100.00%\n" ] } ], "source": [ "initial_total_energy = sample_energy.sum()\n", "resampled_total_energy = sample_energy_1min.sum()\n", "print(f\"Initial total energy: {initial_total_energy:.2f} kWh\")\n", "print(f\"Resampled total energy: {resampled_total_energy:.2f} kWh\")\n", "print(f\"Ratio: {resampled_total_energy / initial_total_energy:.2%}\")" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initial total energy: 120762.21 kWh\n", "Resampled total energy: 120762.21 kWh\n", "Ratio: 100.00%\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sample_energy_30min = eat.energy.to_freq(sample_energy, \"30min\")\n", "\n", "ax = sample_energy.plot(drawstyle=\"steps-post\", marker=\"o\")\n", "sample_energy_30min.plot(drawstyle=\"steps-post\", ax=ax, marker=\"o\")\n", "ax.legend([\"5min\", \"30min\"])\n", "\n", "resampled_total_energy = sample_energy_30min.sum()\n", "print(f\"Initial total energy: {initial_total_energy:.2f} kWh\")\n", "print(f\"Resampled total energy: {resampled_total_energy:.2f} kWh\")\n", "print(f\"Ratio: {resampled_total_energy / initial_total_energy:.2%}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Conclusion about energy resampling\n", "As expected, the energy resampling preserve the energy between each indexes\n" ] }, { "cell_type": "markdown", "id": "d88eb00f", "metadata": {}, "source": [ "## Resampling energy index data" ] }, { "cell_type": "code", "execution_count": null, "id": "f0a2357e", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "5da5d31c", "metadata": {}, "source": [ "An energy index is just a cumulated energy over time. \n", "\n", "While the energy as a timeseries is sampled as energy *over an interval*, the index is defined *at a certain time*.\n", "The energy is sampled such that the value given at time $t$ is the energy used during the interval *starting at $t$* and finishing at the next index.\n", "\n", "Accordingly, computing the index from the energy requires to shift the values one step ahead after the cumulated sum computation to obtain the value of the sum *at time t*." ] }, { "cell_type": "code", "execution_count": 19, "id": "9e09f404", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2019-01-01 07:35:25 2400.000000\n", "2019-01-01 07:40:25 3004.001905\n", "2019-01-01 07:45:25 2695.386223\n", "2019-01-01 07:50:25 3562.059062\n", "2019-01-01 07:55:25 3792.952175\n", " ... \n", "2019-01-01 11:20:25 1858.162973\n", "2019-01-01 11:25:25 1855.521602\n", "2019-01-01 11:30:25 2450.575809\n", "2019-01-01 11:35:25 1255.982357\n", "2019-01-01 11:40:25 1583.968334\n", "Freq: 5min, Length: 50, dtype: float64" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample_energy" ] }, { "cell_type": "code", "execution_count": 20, "id": "83e8425c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2019-01-01 07:35:25 0.000000\n", "2019-01-01 07:40:25 2400.000000\n", "2019-01-01 07:45:25 5404.001905\n", "2019-01-01 07:50:25 8099.388128\n", "2019-01-01 07:55:25 11661.447190\n", " ... \n", "2019-01-01 11:20:25 111758.001141\n", "2019-01-01 11:25:25 113616.164115\n", "2019-01-01 11:30:25 115471.685717\n", "2019-01-01 11:35:25 117922.261526\n", "2019-01-01 11:40:25 119178.243883\n", "Freq: 5min, Length: 50, dtype: float64" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample_index = sample_energy.cumsum().shift(1)\n", "sample_index.iloc[0] = 0\n", "sample_index" ] }, { "cell_type": "markdown", "id": "6fd5f7f6", "metadata": {}, "source": [ "Assuming the timestep is constant, an additional index can be added using the last energy value :" ] }, { "cell_type": "code", "execution_count": 21, "id": "722e044a", "metadata": {}, "outputs": [], "source": [ "timestep = eat.timeseries.resample.index_transformation.estimate_timestep(sample_index, method=\"mean\")" ] }, { "cell_type": "code", "execution_count": 22, "id": "781e314e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2019-01-01 07:35:25 0.000000\n", "2019-01-01 07:40:25 2400.000000\n", "2019-01-01 07:45:25 5404.001905\n", "2019-01-01 07:50:25 8099.388128\n", "2019-01-01 07:55:25 11661.447190\n", " ... \n", "2019-01-01 11:25:25 113616.164115\n", "2019-01-01 11:30:25 115471.685717\n", "2019-01-01 11:35:25 117922.261526\n", "2019-01-01 11:40:25 119178.243883\n", "2019-01-01 11:45:25 120762.212217\n", "Freq: 5min, Length: 51, dtype: float64" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample_index[sample_energy.index[-1] + pd.Timedelta(seconds=timestep)] = sample_index.loc[sample_energy.index[-1]] + sample_energy.iloc[-1]\n", "sample_index" ] }, { "cell_type": "markdown", "id": "4c59f5a4", "metadata": {}, "source": [ "So we've got our index! Now let resample it !\n", "\n", "Actually, resampling an index is quiet easy.\n", "As the values are defined *at a point* and not *on an interval*, any usual interpolation method could be used, provided that the assumptions are relevant.\n", "Most often, as no information is known about what happens during two index measures, the most reasonable assumption is that the index has increased linearly between the two measures.\n", "*Accordingly, the right index interpolation method seems to be *piecewise-affine* interpolation.\n", "This is very easily done using `eat`:" ] }, { "cell_type": "markdown", "id": "f5736e10", "metadata": {}, "source": [ "Below an example of over and subsmpling :" ] }, { "cell_type": "code", "execution_count": 23, "id": "e16d4268", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sample_index.plot(label='original', legend=True)\n", "eat.timeseries.resample.to_freq(sample_index, freq=\"1min\").plot(label=\"1min\", legend=True, ls='--')\n", "eat.timeseries.resample.to_freq(sample_index, freq=\"30min\").plot(label=\"60min\", legend=True, marker='o')\n", "plt.title(\"Resampling of an energy index timeseries\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Resampling temperature data" ] }, { "cell_type": "markdown", "id": "1e2e08c9-d2f4-45bd-ba32-8231cb4a5a9f", "metadata": {}, "source": [ "However, conversely to energy-related data, as temperature is sampled as \"instantaneous values\", the resampling :\n", "- uses a piecewise affine interpolation method,\n", "- returns `NA` values outside the boundaries of the initial data." ] }, { "cell_type": "markdown", "id": "abe92177-bbec-4a36-b8dc-e9fb03209029", "metadata": {}, "source": [ "### Example data" ] }, { "cell_type": "markdown", "id": "9a83bb35-e0eb-47ac-852d-017a2b50b1c6", "metadata": {}, "source": [ "The temperature data below comes from indoor temperature measures located on the same site as the power used in the previous example, for an overlapping time-period." ] }, { "cell_type": "code", "execution_count": 24, "id": "84859033-7324-485b-99af-aea1d4117b03", "metadata": { "execution": { "iopub.execute_input": "2023-05-04T09:40:08.632272Z", "iopub.status.busy": "2023-05-04T09:40:08.630994Z", "iopub.status.idle": "2023-05-04T09:40:08.646711Z", "shell.execute_reply": "2023-05-04T09:40:08.645781Z", "shell.execute_reply.started": "2023-05-04T09:40:08.632241Z" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "timestamp\n", "2023-03-21 00:02:03+01:00 18.6\n", "2023-03-21 00:12:03+01:00 18.7\n", "2023-03-21 00:22:03+01:00 18.7\n", "2023-03-21 00:32:04+01:00 18.7\n", "2023-03-21 00:42:04+01:00 18.7\n", " ... \n", "2023-03-22 23:12:10+01:00 19.2\n", "2023-03-22 23:22:10+01:00 19.2\n", "2023-03-22 23:32:10+01:00 19.2\n", "2023-03-22 23:42:10+01:00 19.1\n", "2023-03-22 23:52:10+01:00 19.1\n", "Name: value, Length: 287, dtype: float64" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample_temperature = pd.read_parquet('./data/sample_temperature_measures.parquet')[\"value\"]\n", "sample_temperature" ] }, { "cell_type": "markdown", "id": "d47e42be-fd8a-4c6e-a57f-8f23805e56ef", "metadata": {}, "source": [ "### Simple over or sub-sampling" ] }, { "cell_type": "markdown", "id": "b57b5a95-91ca-4be1-a64b-43168b0dd824", "metadata": {}, "source": [ "The following illustrates simple over-sampling and sub-sampling.\n", "Temperature may be interpolated/resampled in different ways depending on the needs and assumption." ] }, { "cell_type": "markdown", "id": "1fd82eae", "metadata": {}, "source": [ "Oversampling might be done using a piecewise affine or piecewise constant method. In this example, given the resolution of the data, there is not much difference." ] }, { "cell_type": "code", "execution_count": 25, "id": "35a50bc9-a012-466c-b66c-8e8cbdd8b4f8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "eat.timeseries.resample.to_freq(sample_temperature, \"1min\", method='piecewise_affine').plot(\n", " label='piecewise_affine', legend=True);\n", "eat.timeseries.resample.to_freq(sample_temperature, \"1min\", method='piecewise_constant').plot(\n", " label='piecewise_constant', legend=True);" ] }, { "cell_type": "markdown", "id": "c3d5e657", "metadata": {}, "source": [ "Subsamping can also be done the same way :" ] }, { "cell_type": "code", "execution_count": 26, "id": "258891bb", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sample_temperature.plot(label='original', legend=True)\n", "eat.timeseries.resample.to_freq(sample_temperature, \"60min\", method='piecewise_affine').plot(\n", " label='piecewise_affine', legend=True)\n", "eat.timeseries.resample.to_freq(sample_temperature, \"60min\", method='piecewise_constant').plot(\n", " label='piecewise_constant', legend=True);" ] }, { "cell_type": "markdown", "id": "e780aa64", "metadata": {}, "source": [ "If one wish to compute a resampled mean temperature but the sampling rate of the original data is irregular, it is better to first oversample with a correct assumption then resample and compute the average.\n", "Below, using the [`eat` extension for `pandas` series](http://recherche.gitlab-pages.ecoco2.com/energy_toolbox/html/sources/energy_toolbox.pandas.html):" ] }, { "cell_type": "code", "execution_count": 27, "id": "1a6ca5bd", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sample_temperature.eat.to_freq(\"1min\", method='piecewise_affine').resample('60min').mean().plot();" ] } ], "metadata": { "kernelspec": { "display_name": "eat", "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": "3.11.10" } }, "nbformat": 4, "nbformat_minor": 5 }