diff --git a/examples/07. Comparison on difficult cases.ipynb b/examples/07. Comparison on difficult cases.ipynb index 71debe0..c87de67 100644 --- a/examples/07. Comparison on difficult cases.ipynb +++ b/examples/07. Comparison on difficult cases.ipynb @@ -32,12 +32,28 @@ "- Compare benchmark and improvement idea" ] }, + { + "cell_type": "markdown", + "id": "c9e2aebc", + "metadata": {}, + "source": [ + "## Imports" + ] + }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 1, "id": "f11a388c-2616-4746-9cd8-fca36aa70af8", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\u001b[2m2024-03-12 14:50:05\u001b[0m [\u001b[32m\u001b[1minfo \u001b[0m] \u001b[1mProloaf not available, setting constructor to None\u001b[0m\n" + ] + } + ], "source": [ "import pandas as pd\n", "import numpy as np\n", @@ -84,7 +100,7 @@ "metadata": {}, "outputs": [], "source": [ - "difficult_location_number = 1\n", + "difficult_location_number = 1 # select 1, 2 or 3\n", "quantiles = [0.05, 0.1, 0.3, 0.5, 0.7, 0.9, 0.95]\n", "\n", "PLOT_POSITIVE_PEAKS = True\n", @@ -117,27 +133,6 @@ "Generate a benchmark using the latest OpenSTEF. Only needed once." ] }, - { - "cell_type": "code", - "execution_count": 22, - "id": "c3985027", - "metadata": {}, - "outputs": [], - "source": [ - "complete_data = pd.read_csv(\n", - " f\"data/model_input_difficult_location_{difficult_location_number}.csv\",\n", - " parse_dates=True,\n", - " index_col=0,\n", - " )\n", - " \n", - "training_data_length_days = 120\n", - "forecast_data_length_days = 1\n", - "result = [dict(name=f\"N{i}_loc{difficult_location_number}\",\n", - " dataset=complete_data.iloc[\n", - " i*24*4:(training_data_length_days+forecast_data_length_days+training_data_length_days+i)*24*4],\n", - " test_length=forecast_data_length_days*24*4) for i in range (10)]" - ] - }, { "cell_type": "code", "execution_count": 3, @@ -169,7 +164,7 @@ " result = [dict(\n", " name=f\"N{i}_loc{difficult_location_number}\",\n", " dataset=complete_data.iloc[\n", - " i*24*4:(training_data_length_days+forecast_data_length_days+training_data_length_days+i)*24*4],\n", + " i*24*4:(training_data_length_days+forecast_data_length_days+i)*24*4],\n", " test_length=forecast_data_length_days*24*4) for i in range (experiments)]\n", "\n", " return result" @@ -220,13 +215,13 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "f1bfe431ff4e4f2f91e511fb169fc409", + "model_id": "e4e10367697f4a18bebf256c050df033", "version_major": 2, "version_minor": 0 }, @@ -241,6 +236,7 @@ "name": "stdout", "output_type": "stream", "text": [ + "Starting experiment: N0_loc1\n", "Starting experiment: N1_loc1\n", "Starting experiment: N2_loc1\n", "Starting experiment: N3_loc1\n", @@ -249,8 +245,7 @@ "Starting experiment: N6_loc1\n", "Starting experiment: N7_loc1\n", "Starting experiment: N8_loc1\n", - "Starting experiment: N9_loc1\n", - "Starting experiment: N10_loc1\n" + "Starting experiment: N9_loc1\n" ] } ], @@ -281,7 +276,7 @@ " ##############\n", " # train model\n", " # Suppress logging\n", - " \n", + "\n", " with io.capture_output() as captured:\n", " models = train_model_pipeline(\n", " pj,\n", @@ -314,7 +309,7 @@ "id": "8d6addd9", "metadata": {}, "source": [ - "## Evaluate results" + "## Calculate evaluation" ] }, { @@ -328,9 +323,314 @@ "quantile_columns = [col for col in forecasts.columns if col.startswith(\"quantile\")]" ] }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "def rmse_for_window(forecast_window, measurements, window_size):\n", + " measurements_window = measurements.loc[forecast_window.index]\n", + " mse = metrics.mean_squared_error(measurements_window, forecast_window)\n", + " return np.sqrt(mse)\n", + "\n", + "\n", + "def mae_for_window(forecast_window, measurements, window_size):\n", + " measurements_window = measurements.loc[forecast_window.index]\n", + " return metrics.mean_absolute_error(measurements_window, forecast_window)\n", + "\n", + "\n", + "forecast = forecasts[f\"quantile_P{percentile}\"]\n", + "measurements = forecasts[\"load\"]\n", + "rmse = forecast.rolling(window=window_size).apply(\n", + " rmse_for_window, args=(measurements, window_size)\n", + ")\n", + "mae = forecast.rolling(window=window_size).apply(\n", + " mae_for_window, args=(measurements, window_size)\n", + ")\n", + "\n", + "error_df = pd.concat([rmse, mae], axis=1)\n", + "# Rename columns to \"rmse\" and \"mae\"\n", + "error_df.columns = [\"rmse\", \"mae\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "809e7e2a", + "metadata": {}, + "outputs": [], + "source": [ + "def get_peaks_from_measurements(\n", + " measurements,\n", + " thresholds_pos: [int],\n", + " thresholds_neg: [int],\n", + " positive_peaks: bool = True,\n", + " peak_distance: int = 12,\n", + ") -> [int]:\n", + " \"\"\"\n", + "\n", + " Args:\n", + " measurements (_type_): _description_\n", + " thresholds_pos (int]): _description_\n", + " thresholds_neg (int]): _description_\n", + " positive_peaks (bool, optional): _description_. Defaults to True.\n", + " peak_distance (int, optional): Sample distance between peaks. Defaults to 12 (3 * 4 samples = 3 hours).\n", + "\n", + " Returns:\n", + " _type_: _description_\n", + " \"\"\"\n", + "\n", + " # measurements = measurements.droplevel([1], axis=1)\n", + "\n", + " # Define constants\n", + "\n", + " peak_distance = 4 * 3 # samples are 15min, 3 hour distance\n", + "\n", + " # Detect peaks\n", + " if positive_peaks:\n", + " peaks = [\n", + " (\n", + " \"terminal_id\",\n", + " signal.find_peaks(\n", + " measurements, height=thresholds_pos, distance=peak_distance\n", + " ),\n", + " )\n", + " ]\n", + " else:\n", + " peaks = [\n", + " (\n", + " \"terminal_id\",\n", + " signal.find_peaks(\n", + " -measurements, height=-thresholds_neg, distance=peak_distance\n", + " ),\n", + " )\n", + " ]\n", + "\n", + " return peaks\n", + "\n", + "\n", + "def is_missed_peak_in_window(\n", + " peak_measurement_window, peak_forecast_window, miss_threshold: int\n", + "):\n", + " mape = metrics.mean_absolute_error(peak_measurement_window, peak_forecast_window)\n", + " return mape > miss_threshold\n", + "\n", + "\n", + "def is_missed_peak(\n", + " comp_df, peak_index: int, peak_evaluation_width: int, mape_threshold: int\n", + "):\n", + " min_index = max(peak_index - peak_evaluation_width, 0)\n", + " max_index = min(peak_index + peak_evaluation_width, len(comp_df))\n", + " measurement_window = comp_df.loc[:, \"Measured\"][min_index:max_index]\n", + " forecast_window = comp_df.loc[:, \"Forecast\"][measurement_window.index]\n", + " return is_missed_peak_in_window(measurement_window, forecast_window, mape_threshold)\n", + "\n", + "\n", + "def get_missed_peaks(\n", + " comp_df, peak_index_list: [int], peak_evaluation_width: int, mape_threshold: int\n", + "):\n", + " return [\n", + " peak\n", + " for peak in peak_index_list\n", + " if is_missed_peak(comp_df, peak, peak_evaluation_width, mape_threshold)\n", + " ]\n", + "\n", + "\n", + "def plot_missed_peaks(\n", + " comp_df,\n", + " peak_index_list: [int],\n", + " peak_evaluation_width: int,\n", + " mape_threshold: int,\n", + " subplots,\n", + " plot_index,\n", + "):\n", + "\n", + " line_graph = px.line(comp_df)\n", + " for trace in range(len(line_graph[\"data\"])):\n", + " subplots.append_trace(line_graph[\"data\"][trace], row=plot_index, col=1)\n", + "\n", + " total_missed = 0\n", + " for peak in peak_index_list:\n", + " min_index = max(peak - peak_evaluation_width, 0)\n", + " max_index = min(peak + peak_evaluation_width, len(comp_df))\n", + " measurement_window = comp_df.loc[:, \"Measured\"][min_index:max_index]\n", + " forecast_window = comp_df.loc[:, \"Forecast\"][measurement_window.index]\n", + "\n", + " start_rectangle = measurement_window.index[0]\n", + " end_rectangle = measurement_window.index[-1]\n", + "\n", + " # Plot red area around missed peak\n", + " if is_missed_peak_in_window(\n", + " measurement_window, forecast_window, mape_threshold\n", + " ):\n", + " total_missed += 1\n", + " subplots.add_vrect(\n", + " x0=start_rectangle,\n", + " x1=end_rectangle,\n", + " line_width=0,\n", + " fillcolor=\"red\",\n", + " opacity=0.2,\n", + " row=plot_index,\n", + " col=1,\n", + " )\n", + " else:\n", + " subplots.add_vrect(\n", + " x0=start_rectangle,\n", + " x1=end_rectangle,\n", + " line_width=0,\n", + " fillcolor=\"blue\",\n", + " opacity=0.1,\n", + " row=plot_index,\n", + " col=1,\n", + " )\n", + "\n", + " return total_missed" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "4d3996b4", + "metadata": {}, + "outputs": [], + "source": [ + "forecast_percentile = percentile" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "9b99cc94", + "metadata": {}, + "outputs": [], + "source": [ + "thresholds_pos = measurements.quantile(load_threshold_max_quantile)\n", + "thresholds_neg = measurements.quantile(load_threshold_min_quantile)\n", + "\n", + "peaks_pos = get_peaks_from_measurements(\n", + " measurements,\n", + " thresholds_pos=thresholds_pos,\n", + " thresholds_neg=thresholds_neg,\n", + " positive_peaks=True,\n", + " peak_distance=peak_distance,\n", + ")\n", + "peaks_neg = get_peaks_from_measurements(\n", + " measurements,\n", + " thresholds_pos=thresholds_pos,\n", + " thresholds_neg=thresholds_neg,\n", + " positive_peaks=False,\n", + " peak_distance=peak_distance,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "d6169dd0", + "metadata": {}, + "outputs": [], + "source": [ + "if compare_positive_peaks:\n", + " detected_peaks = peaks_pos\n", + "else:\n", + " detected_peaks = peaks_neg" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "d6c460f8", + "metadata": {}, + "outputs": [], + "source": [ + "forecasts_all_percentiles = forecasts[quantile_columns]\n", + "terminals = [\"terminal_id\"]\n", + "percentiles = quantile_columns\n", + "\n", + "missed_peaks_list = {\n", + " terminal: {percentile: np.NaN for percentile in percentiles}\n", + " for terminal in terminals\n", + "}\n", + "\n", + "for percentile in percentiles:\n", + " forecast_single_percentile = forecasts_all_percentiles[percentile]\n", + "\n", + " for i, peak_list in enumerate(detected_peaks):\n", + " terminal_id, peaks = peak_list\n", + " measurements_for_terminal = measurements.rename(\"Measured\")\n", + " forecasts_for_terminal = forecast_single_percentile.rename(\"Forecast\")\n", + "\n", + " comp_df = pd.concat([measurements_for_terminal, forecasts_for_terminal], axis=1)\n", + " missed_peaks_single_percentile_term = get_missed_peaks(\n", + " comp_df, peaks[0], peak_evaluation_width, peak_miss_threshold\n", + " )\n", + " missed_peaks_list[terminal_id][percentile] = len(\n", + " missed_peaks_single_percentile_term\n", + " )\n", + "\n", + "missed_peaks_df = pd.DataFrame(missed_peaks_list)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "a8cc6992", + "metadata": {}, + "source": [ + "## Show Results" + ] + }, + { + "cell_type": "markdown", + "id": "ea6e08a2", + "metadata": {}, + "source": [ + "### rMAE" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "402595d8", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "rMAE: 0.08182095395041092\n" + ] + } + ], + "source": [ + "# calculate rmae between forecast and measurements\n", + "rmae = metrics.mean_absolute_error(measurements, forecast)/np.ptp(measurements)\n", + "print(f\"rMAE: {rmae}\")" + ] + }, + { + "cell_type": "markdown", + "id": "2b4fda27", + "metadata": {}, + "source": [ + "### Rolling window (optional)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "a1bc4f54", + "metadata": {}, + "outputs": [], + "source": [ + "if PLOT_ROLLING_WINDOW:\n", + " error_df[[\"rmse\", \"mae\"]].plot()" + ] + }, { "cell_type": "markdown", - "id": "dda1988a", + "id": "c71de51b", "metadata": {}, "source": [ "### Plot forecast against measurements" @@ -338,8 +638,8 @@ }, { "cell_type": "code", - "execution_count": 8, - "id": "ae15a268", + "execution_count": 16, + "id": "9ac07cee", "metadata": {}, "outputs": [ { @@ 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "##########\n", - "# Plot results\n", - "fig = forecasts[[\"load\", \"forecast\"] + quantile_columns].plot()\n", - "fig.update_traces(line=dict(color=\"red\", width=2), selector=lambda x: \"load\" in x.name)\n", - "fig.update_traces(\n", - " line=dict(color=\"blue\", width=2), selector=lambda x: \"forecast\" in x.name\n", - ")\n", - "\n", - "# Show a green area between all quantile_columns\n", - "fig.update_traces(\n", - " fill=\"tonexty\",\n", - " fillcolor=\"rgba(0,255,0,0.2)\",\n", - " selector=lambda x: \"quantile\" in x.name,\n", - ")\n", - "\n", - "# Set all quantile traces to be green with half transparency\n", - "fig.update_traces(\n", - " line=dict(color=\"green\", width=1),\n", - " opacity=0.5,\n", - " selector=lambda x: \"quantile\" in x.name,\n", - ")\n", - "\n", - "fig.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [], - "source": [ - "def rmse_for_window(forecast_window, measurements, window_size):\n", - " measurements_window = measurements.loc[forecast_window.index]\n", - " mse = metrics.mean_squared_error(measurements_window, forecast_window)\n", - " return np.sqrt(mse)\n", - "\n", - "\n", - "def mae_for_window(forecast_window, measurements, window_size):\n", - " measurements_window = measurements.loc[forecast_window.index]\n", - " return metrics.mean_absolute_error(measurements_window, forecast_window)\n", - "\n", - "\n", - "forecast = forecasts[f\"quantile_P{percentile}\"]\n", - "measurements = forecasts[\"load\"]\n", - "rmse = forecast.rolling(window=window_size).apply(\n", - " rmse_for_window, args=(measurements, window_size)\n", - ")\n", - "mae = forecast.rolling(window=window_size).apply(\n", - " mae_for_window, args=(measurements, window_size)\n", - ")\n", - "\n", - "error_df = pd.concat([rmse, mae], axis=1)\n", - "# Rename columns to \"rmse\" and \"mae\"\n", - "error_df.columns = [\"rmse\", \"mae\"]" - ] - }, - { - "cell_type": "markdown", - "id": "41d66ef7", - "metadata": {}, - "source": [ - "### rMAE" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "593c20aa", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "rMAE: 3506732.4080605195\n" - ] + " var display = window.getComputedStyle(gd).display;\n", + " if (!display || display === 'none') {{\n", + " console.log([gd, 'removed!']);\n", + " Plotly.purge(gd);\n", + " observer.disconnect();\n", + " }}\n", + "}});\n", + "\n", + "// Listen for the removal of the full notebook cells\n", + "var notebookContainer = gd.closest('#notebook-container');\n", + "if (notebookContainer) {{\n", + " x.observe(notebookContainer, {childList: true});\n", + "}}\n", + "\n", + "// Listen for the clearing of the current output cell\n", + "var outputEl = gd.closest('.output');\n", + "if (outputEl) {{\n", + " x.observe(outputEl, {childList: true});\n", + "}}\n", + "\n", + " }) }; }); " + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "# calculate rmae between forecast and measurements\n", - "rmae = np.sqrt(metrics.mean_squared_error(measurements, forecast))\n", - "print(f\"rMAE: {rmae}\")" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [], - "source": [ - "if PLOT_ROLLING_WINDOW:\n", - " error_df[[\"rmse\", \"mae\"]].plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "809e7e2a", - "metadata": {}, - "outputs": [], - "source": [ - "def get_peaks_from_measurements(\n", - " measurements,\n", - " thresholds_pos: [int],\n", - " thresholds_neg: [int],\n", - " positive_peaks: bool = True,\n", - " peak_distance: int = 12,\n", - ") -> [int]:\n", - " \"\"\"\n", - "\n", - " Args:\n", - " measurements (_type_): _description_\n", - " thresholds_pos (int]): _description_\n", - " thresholds_neg (int]): _description_\n", - " positive_peaks (bool, optional): _description_. Defaults to True.\n", - " peak_distance (int, optional): Sample distance between peaks. Defaults to 12 (3 * 4 samples = 3 hours).\n", - "\n", - " Returns:\n", - " _type_: _description_\n", - " \"\"\"\n", - "\n", - " # measurements = measurements.droplevel([1], axis=1)\n", - "\n", - " # Define constants\n", - "\n", - " peak_distance = 4 * 3 # samples are 15min, 3 hour distance\n", - "\n", - " # Detect peaks\n", - " if positive_peaks:\n", - " peaks = [\n", - " (\n", - " \"terminal_id\",\n", - " signal.find_peaks(\n", - " measurements, height=thresholds_pos, distance=peak_distance\n", - " ),\n", - " )\n", - " ]\n", - " else:\n", - " peaks = [\n", - " (\n", - " \"terminal_id\",\n", - " signal.find_peaks(\n", - " -measurements, height=-thresholds_neg, distance=peak_distance\n", - " ),\n", - " )\n", - " ]\n", - "\n", - " return peaks\n", - "\n", - "\n", - "def is_missed_peak_in_window(\n", - " peak_measurement_window, peak_forecast_window, miss_threshold: int\n", - "):\n", - " mape = metrics.mean_absolute_error(peak_measurement_window, peak_forecast_window)\n", - " return mape > miss_threshold\n", - "\n", - "\n", - "def is_missed_peak(\n", - " comp_df, peak_index: int, peak_evaluation_width: int, mape_threshold: int\n", - "):\n", - " min_index = max(peak_index - peak_evaluation_width, 0)\n", - " max_index = min(peak_index + peak_evaluation_width, len(comp_df))\n", - " measurement_window = comp_df.loc[:, \"Measured\"][min_index:max_index]\n", - " forecast_window = comp_df.loc[:, \"Forecast\"][measurement_window.index]\n", - " return is_missed_peak_in_window(measurement_window, forecast_window, mape_threshold)\n", - "\n", - "\n", - "def get_missed_peaks(\n", - " comp_df, peak_index_list: [int], peak_evaluation_width: int, mape_threshold: int\n", - "):\n", - " return [\n", - " peak\n", - " for peak in peak_index_list\n", - " if is_missed_peak(comp_df, peak, peak_evaluation_width, mape_threshold)\n", - " ]\n", - "\n", - "\n", - "def plot_missed_peaks(\n", - " comp_df,\n", - " peak_index_list: [int],\n", - " peak_evaluation_width: int,\n", - " mape_threshold: int,\n", - " subplots,\n", - " plot_index,\n", - "):\n", - "\n", - " line_graph = px.line(comp_df)\n", - " for trace in range(len(line_graph[\"data\"])):\n", - " subplots.append_trace(line_graph[\"data\"][trace], row=plot_index, col=1)\n", - "\n", - " total_missed = 0\n", - " for peak in peak_index_list:\n", - " min_index = max(peak - peak_evaluation_width, 0)\n", - " max_index = min(peak + peak_evaluation_width, len(comp_df))\n", - " measurement_window = comp_df.loc[:, \"Measured\"][min_index:max_index]\n", - " forecast_window = comp_df.loc[:, \"Forecast\"][measurement_window.index]\n", - "\n", - " start_rectangle = measurement_window.index[0]\n", - " end_rectangle = measurement_window.index[-1]\n", + "##########\n", + "# Plot results\n", + "fig = forecasts[[\"load\", \"forecast\"] + quantile_columns].plot()\n", + "fig.update_traces(line=dict(color=\"red\", width=2), selector=lambda x: \"load\" in x.name)\n", + "fig.update_traces(\n", + " line=dict(color=\"blue\", width=2), selector=lambda x: \"forecast\" in x.name\n", + ")\n", "\n", - " # Plot red area around missed peak\n", - " if is_missed_peak_in_window(\n", - " measurement_window, forecast_window, mape_threshold\n", - " ):\n", - " total_missed += 1\n", - " subplots.add_vrect(\n", - " x0=start_rectangle,\n", - " x1=end_rectangle,\n", - " line_width=0,\n", - " fillcolor=\"red\",\n", - " opacity=0.2,\n", - " row=plot_index,\n", - " col=1,\n", - " )\n", - " else:\n", - " subplots.add_vrect(\n", - " x0=start_rectangle,\n", - " x1=end_rectangle,\n", - " line_width=0,\n", - " fillcolor=\"blue\",\n", - " opacity=0.1,\n", - " row=plot_index,\n", - " col=1,\n", - " )\n", + "# Set all quantile traces to be green with half transparency\n", + "fig.update_traces(\n", + " line=dict(color=\"green\", width=1),\n", + " opacity=0.8,\n", + " selector=lambda x: \"quantile\" in x.name,\n", + ")\n", "\n", - " return total_missed" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "4d3996b4", - "metadata": {}, - "outputs": [], - "source": [ - "forecast_percentile = percentile" + "fig.show()" ] }, { - "cell_type": "code", - "execution_count": 14, - "id": "9b99cc94", + "cell_type": "markdown", + "id": "5d9f78b9", "metadata": {}, - "outputs": [], "source": [ - "thresholds_pos = measurements.quantile(load_threshold_max_quantile)\n", - "thresholds_neg = measurements.quantile(load_threshold_min_quantile)\n", - "\n", - "peaks_pos = get_peaks_from_measurements(\n", - " measurements,\n", - " thresholds_pos=thresholds_pos,\n", - " thresholds_neg=thresholds_neg,\n", - " positive_peaks=True,\n", - " peak_distance=peak_distance,\n", - ")\n", - "peaks_neg = get_peaks_from_measurements(\n", - " measurements,\n", - " thresholds_pos=thresholds_pos,\n", - " thresholds_neg=thresholds_neg,\n", - " positive_peaks=False,\n", - " peak_distance=peak_distance,\n", - ")" + "### Peaks" ] }, { "cell_type": "code", - "execution_count": 15, - "id": "c731002a", + "execution_count": 17, + "id": "785c4347", "metadata": 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