{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Features Explainer\n", "\n", "A walkthrough of every feature in `features.py` — what it measures, the formula, and a concrete example that shows what it actually reveals about the data (not just what it computes).\n", "\n", "We'll use **AAPL vs SPY** throughout since it mirrors the lecture's \"largest constituent vs index\" example." ] }, { "cell_type": "code", "execution_count": 1, "id": "983faa4f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using modules from: ['/Users/jonasalthuis/Documents/WORK/TRADER/machinelearning/trading-ml/src']\n", "Using data from: /Users/jonasalthuis/Documents/WORK/TRADER/machinelearning/data/raw\n" ] }, { "data": { "text/html": [ "
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" ], "text/plain": [ " ret_1 ret_5 ret_10 log_ret rsi_14 macd \\\n", "timestamp \n", "2026-07-02 0.048407 0.121679 0.042845 0.047272 60.276634 0.255434 \n", "2026-07-06 0.013058 0.101769 0.049159 0.012973 62.444675 1.455520 \n", "2026-07-07 -0.006397 0.102648 0.045958 -0.006417 60.674812 2.008911 \n", "2026-07-08 0.008788 0.083045 0.064866 0.008749 62.247731 2.425237 \n", "2026-07-09 0.009030 0.074190 0.078955 0.008990 63.861390 2.734681 \n", "\n", " atr_14 bb_width realized_vol_20 sma_20 ... ema_ratio_50 \\\n", "timestamp ... \n", "2026-07-02 8.735632 11.578696 0.024362 0.046904 ... 0.062314 \n", "2026-07-06 8.625945 11.768713 0.024533 0.060317 ... 0.072980 \n", "2026-07-07 8.390522 12.120904 0.024402 0.052942 ... 0.063359 \n", "2026-07-08 8.346200 13.139247 0.024016 0.060066 ... 0.069654 \n", "2026-07-09 8.347900 14.292599 0.022216 0.065015 ... 0.075967 \n", "\n", " ema_ratio_200 ema_log_ret_85 ema_log_ret_95 vol_change \\\n", "timestamp \n", "2026-07-02 0.149016 0.050103 0.054886 0.502123 \n", "2026-07-06 0.162123 0.053620 0.064327 -0.288812 \n", "2026-07-07 0.152914 0.040117 0.054960 -0.207128 \n", "2026-07-08 0.161162 0.041536 0.060525 -0.027454 \n", "2026-07-09 0.169650 0.042949 0.066330 0.163607 \n", "\n", " vol_zscore dow hour beta_60 beta_120 \n", "timestamp \n", "2026-07-02 0.127907 3 0 0.565790 0.816239 \n", "2026-07-06 -0.329173 0 0 0.548904 0.823356 \n", "2026-07-07 -0.530387 1 0 0.557329 0.825189 \n", "2026-07-08 -0.513540 2 0 0.546914 0.822248 \n", "2026-07-09 -0.352556 3 0 0.575072 0.822407 \n", "\n", "[5 rows x 21 columns]" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import sys\n", "from pathlib import Path\n", "\n", "# This notebook lives in trading-ml/notebooks/. The modules it needs (features.py,\n", "# toolkit.py) live in the sibling folder trading-ml/src/. Search upward from the\n", "# current working directory for a folder that actually contains features.py, and\n", "# add THAT folder to sys.path — this works whether Jupyter's cwd is notebooks/\n", "# (the normal case) or something else entirely.\n", "_search_roots = [Path.cwd(), Path.cwd().parent, Path.cwd().parent.parent]\n", "for _root in _search_roots:\n", " for _candidate in (_root, _root / 'src'):\n", " if (_candidate / 'features.py').exists():\n", " if str(_candidate) not in sys.path:\n", " sys.path.insert(0, str(_candidate))\n", " break\n", "\n", "# Locate data/raw the same way: search upward and sideways from cwd, and accept\n", "# the first folder that actually contains the AAPL file (not just an empty folder\n", "# of the same name — there can be more than one data/raw/ in this project).\n", "DATA_DIR = None\n", "for _root in _search_roots:\n", " for _candidate in (_root / 'data' / 'raw', _root / 'trading-ml' / 'data' / 'raw'):\n", " if (_candidate / 'AAPL_1d.parquet').exists():\n", " DATA_DIR = _candidate\n", " break\n", " if DATA_DIR:\n", " break\n", "if DATA_DIR is None:\n", " raise FileNotFoundError(\n", " \"Could not locate AAPL_1d.parquet under any data/raw/ folder. \"\n", " \"Run data.py first (e.g. `python src/data.py` from the trading-ml folder).\"\n", " )\n", "\n", "import pandas as pd\n", "import numpy as np\n", "import plotly.io as pio\n", "import plotly.express as px\n", "import plotly.graph_objects as go\n", "from plotly.subplots import make_subplots\n", "from features import make_features\n", "\n", "pio.renderers.default = \"vscode\" # switch to \"notebook\" if you're in Jupyter Lab instead of VS Code\n", "\n", "print(f\"Using modules from: {[p for p in sys.path if 'trading-ml' in p][:1]}\")\n", "print(f\"Using data from: {DATA_DIR}\")\n", "\n", "aapl = pd.read_parquet(DATA_DIR / 'AAPL_1d.parquet')\n", "spy = pd.read_parquet(DATA_DIR / 'SPY_1d.parquet')\n", "\n", "feat = make_features(aapl, benchmark_close=spy['close'])\n", "feat.tail()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Returns — `ret_1`, `ret_5`, `ret_10`, `log_ret`\n", "\n", "$$ ret\\_h = \\frac{S_t}{S_{t-h}} - 1 \\qquad\\qquad log\\_ret = \\log(S_t) - \\log(S_{t-1}) $$\n", "\n", "**Why:** raw prices trend and grow — a model trained on \"AAPL = $150\" in 2020 is useless when AAPL is $220 later. Returns are (roughly) **stationary**: their statistical properties don't drift with the price level, which is what a model actually needs to generalize.\n", "\n", "**What it proves below:** the raw price is clearly non-stationary (obvious upward trend); the return series has no trend, just oscillates around zero." ] }, { "cell_type": "code", "execution_count": 2, "id": "b4ef17d1", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "line": { "color": "#1f77b4" }, "name": "close", "type": "scatter", "x": [ "2015-01-02T00:00:00.000", "2015-01-05T00:00:00.000", "2015-01-06T00:00:00.000", "2015-01-07T00:00:00.000", "2015-01-08T00:00:00.000", "2015-01-09T00:00:00.000", "2015-01-12T00:00:00.000", "2015-01-13T00:00:00.000", "2015-01-14T00:00:00.000", "2015-01-15T00:00:00.000", "2015-01-16T00:00:00.000", "2015-01-20T00:00:00.000", "2015-01-21T00:00:00.000", "2015-01-22T00:00:00.000", 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"" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "matches": "x2", "showticklabels": false }, "xaxis2": { "anchor": "y2", "domain": [ 0, 1 ], "rangeslider": { "thickness": 0.06, "visible": true } }, "yaxis": { "anchor": "x", "domain": [ 0.54, 1 ] }, "yaxis2": { "anchor": "x2", "domain": [ 0, 0.46 ] } } } }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Price mean in first half vs second half of history (should differ a lot if non-stationary):\n", " price: 42.3 -> 185.0\n", " log_ret: 0.00106 -> 0.00071\n" ] } ], "source": [ "fig = make_subplots(rows=2, cols=1, shared_xaxes=True, vertical_spacing=0.08,\n", " subplot_titles=('AAPL close (non-stationary — trends over time)',\n", " 'AAPL log returns (stationary — oscillates around 0)'))\n", "fig.add_trace(go.Scatter(x=aapl.index, y=aapl['close'], name='close', line_color='#1f77b4'), row=1, col=1)\n", "fig.add_trace(go.Scatter(x=feat.index, y=feat['log_ret'], name='log_ret', line_color='#ff7f0e'), row=2, col=1)\n", "fig.add_hline(y=0, line_color='black', line_width=0.8, row=2, col=1)\n", "fig.update_layout(height=550, hovermode='x unified', showlegend=False,\n", " xaxis2=dict(rangeslider=dict(visible=True), rangeslider_thickness=0.06))\n", "fig.show()\n", "\n", "print('Price mean in first half vs second half of history (should differ a lot if non-stationary):')\n", "half = len(aapl)//2\n", "print(f\" price: {aapl['close'][:half].mean():.1f} -> {aapl['close'][half:].mean():.1f}\")\n", "print(f\" log_ret: {feat['log_ret'][:half].mean():.5f} -> {feat['log_ret'][half:].mean():.5f}\")" ] }, { "cell_type": "markdown", "id": "1e50f764", "metadata": {}, "source": [ "## 2. Momentum — `rsi_14`, `macd`\n", "\n", "**RSI (Relative Strength Index):** a 0–100 oscillator built from the ratio of average recent gains to average recent losses. >70 conventionally means \"overbought\", <30 \"oversold\".\n", "\n", "**MACD (Moving Average Convergence Divergence):** the difference between a fast and slow EMA of price, further smoothed. Captures whether a trend is accelerating or decelerating.\n", "\n", "**What it proves below:** RSI spends most of its time between 30 and 70, and spikes toward the extremes coincide with the sharpest recent price moves — i.e. it's actually tracking momentum, not noise." ] }, { "cell_type": "code", "execution_count": 3, "id": "10d93322", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "line": { "color": "#1f77b4" }, "name": "close", "type": "scatter", "x": [ "2024-07-11T00:00:00.000", "2024-07-12T00:00:00.000", "2024-07-15T00:00:00.000", "2024-07-16T00:00:00.000", "2024-07-17T00:00:00.000", "2024-07-18T00:00:00.000", "2024-07-19T00:00:00.000", "2024-07-22T00:00:00.000", "2024-07-23T00:00:00.000", "2024-07-24T00:00:00.000", "2024-07-25T00:00:00.000", "2024-07-26T00:00:00.000", "2024-07-29T00:00:00.000", "2024-07-30T00:00:00.000", "2024-07-31T00:00:00.000", "2024-08-01T00:00:00.000", 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55.646914\n", "75% 64.706760\n", "max 90.695575\n", "Name: rsi_14, dtype: float64\n" ] } ], "source": [ "tail_aapl, tail_feat = aapl.tail(500), feat.tail(500)\n", "\n", "fig = make_subplots(rows=2, cols=1, shared_xaxes=True, vertical_spacing=0.08,\n", " subplot_titles=('AAPL close (last 500 bars)', 'RSI(14)'))\n", "fig.add_trace(go.Scatter(x=tail_aapl.index, y=tail_aapl['close'], name='close', line_color='#1f77b4'), row=1, col=1)\n", "fig.add_trace(go.Scatter(x=tail_feat.index, y=tail_feat['rsi_14'], name='RSI(14)', line_color='#2ca02c'), row=2, col=1)\n", "fig.add_hline(y=70, line_color='red', line_width=0.8, line_dash='dash', row=2, col=1)\n", "fig.add_hline(y=30, line_color='red', line_width=0.8, line_dash='dash', row=2, col=1)\n", "fig.update_layout(height=550, hovermode='x unified', showlegend=False)\n", "fig.show()\n", "\n", "print('RSI distribution — should mostly sit inside [30, 70]:')\n", "print(feat['rsi_14'].describe())" ] }, { "cell_type": "markdown", "id": "af9de018", "metadata": {}, "source": [ "## 3. Volatility — `atr_14`, `bb_width`, `realized_vol_20`\n", "\n", "**ATR (Average True Range):** the average size of the daily high-low-close range — a direct measure of \"how big are the daily swings\", in price units.\n", "\n", "**Bollinger Band width:** the distance between bands placed at ± N standard deviations around a moving average — widens in volatile regimes, narrows when calm.\n", "\n", "**Realized vol (20d):** the rolling standard deviation of log returns — the textbook volatility estimator.\n", "\n", "**What it proves below:** all three should move together and spike at the same times (e.g. around 2020's COVID crash, or any other sharp market event in the sample) — they're different lenses on the same underlying phenomenon." ] }, { "cell_type": "code", "execution_count": 4, "id": "4a2bd723", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "variable=atr_14
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t8b+QVdo46b3wv3cKhsx/ufC/UvqLV+Nw8L+9JjVHyn3wv+b5J7K+UfC/+xoZVA9w8L8MzgBVz6Hwv+MnHHThqvC/VQHZQbTT8L8bUpaibOrwvwLtkG8VEvG/z+3rpIIx8b/9Ha3e/TDxv0yGEMeFMfG/Ac4vwLAy8b/PdV1UY0rxv1cCD+IqTvG/hXCwpJBj8b81XiDHG13xv57/nPvcXfG/wpIbPUBF8b/aIGZgwjDxv5sKG+QEGvG/LIhwcSc08b+A3pFWn0HxvyBSL4lqZfG/NL1e5lNs8b+7YGr8u4zxv0a9B+nssvG/ORLEj2O78b/3EAXxyNPxvzghAeuc3fG/1iTuvYbV8b9s/lQHe/Pxv8xj1QaF6/G/bW0MmuDq8b+FJbdvngXyv0Sr0p+pFPK/5VUjBwgN8r/VRUrfrgvyv86yiAtIGfK/joi0dHgd8r/icsfuRRryvyoJMBDxL/K/FbgjcTkb8r9SUDcFgDHyv650uyWMSPK/TkDc1fJd8r8FpqVFBWfyvyJR1oNLfvK/bem/v0Rg8r91FXbF7G/yv+UMbCeAgfK/2katQZh/8r91bnzRRofyvzk+khkEfPG/gQpU+/yB8b/Dadn4G5vxvziZKaYyn/G/CRNcpj6c8b+ceKG2gLTxvyk3Uhyyv/G/GfL5AgHZ8b9h6kEnDNXxv/Z15+igzPG/sSjNPkDL8b8Efb+r+N3xv/WcxGmK+vG/vTYDveYK8r9g3zEuxRryv6eA5UK+I/K/Ojc/o0sl8r8ecVu4MS7yvzSTuKuxRPK/LeHOFY4H8r92mPgKYAbyv4JO80zFDvK/kpgz7pkY8r+XH5jQYyHyvwvuS1qrMPK/TXc1A/od8r8TiRgaUDbyv+j9k9yjUPK/PamHlE5i8r8UoUh7glLyv0cys8m8ZfK/Qq3YaLpr8r+WpPC6u2Pyvysx/chtJ/K/BB/pACAZ8r9mbUBnVSnyvx9xjtQlKvK/0NyfYuMB8r80EBaFtcDxv5wADAkMzPG/zDABi77g8b99r4lQJuvxv56XobhA+/G/325YISz08b8Kiiph+O/xvyiYOYG6//G//JadEMkT8r8nDr89CSTyv+ehOfXS5PG/X5OWiQHz8b9SJvUDvPnxv6AFoTvUCvK/lyI4OWod8r/jFAYkqBnyvx4t/9LG/vG/QBgQBJ0V8r8p5D6iAQ7yv58V3AsuFfK/Mg/bLDId8r+pjOdnLjHyvy4V2UejPfK/yR3sk8jz8b9X/9KSW/Txv+JFoqE/uvG/vAkm9gfF8b8+c7v0FKnxv5tP+2+AQfG/ueBUcZpC8b/Fmo/MSUPxv+BWQ+u+R/G/+K4ryrcz8b9j6a/uuz7xvwGNOBbQUfG/wQYrdhXN8L+TW/Idt6zwv/ZJCt/RxvC/YKsgTDvX8L+O2Ai1Menwv48h9tfv/PC/3ntCU2UV8b8sZjHLYTnxv4Dm4BcDVfG/vJoi3C5X8b89c6AAWHDxv+T+AZlaVvG///xHN59R8b8uj3ax3Uvxv5xsWHOKV/G/UeB5qadv8b9UZ2j8unTwv8PTGqZBz++/0TJp5RPl778IfXWQwpzvv2eTP8fwie+/EigHhLak779lhWJK2ynvvxwX9SKuZO+/j+nLu0u7779AKEQvxwHwv8rEVoFUE/C/NDcfh7IG8L9YI7pCOAfwvxLOYhKA8++/J6u53qSx778O6FSygQfwv7CW3kuLE/C/OEBllCUj8L8s8ail6D7wvzBpKwsdTfC/XG5Fsz5H8L989V+Vk2fwv/fPj99XifC//dvO1yxv8L8+afV1nXrwvz1sk5ABevC/UOPaUw2X8L+fiRTirrHwv1R5UmCwx/C/b/L9Y8jb8L9AUPq1Fc3wv02Fg6R00PC/7TX7voPw8L+okyI6FVPwvzwy/gT5dfC/x/avqx568L/TQIq7Povwv1c7iewwHe+/VUDDMThH77+KMPaLwIbvv0kS5t0Zku+/CdXvnIRW778WlfNofn7vv+GpfOxGqu6/WJVk43yT7r9QNP7Y3KHuv6adsvQtye6/1ARlZQHt7r+zGR09BNvuv6pTaIXd4O6/AVJ110vm7r+QOt5aqOruvzGPcRi3QO+/qZ2s6Z5n778ewxZFQcnvv6rI2SnS6e+/vSj6PhfF77+5a9ulXRDwv/4GMgasPvC//a1PB+Nk8L8h1qjFCzfwv0ElpuYqNvC/259IL4NJ8L8IQDCHbj7wv2KgPKSQHPC/EWf2uESB77/O//p4oG/vv4vbZFg8vu+/e7xmmt6m77/WOUr0SrHvv3WZIxp3BfC/vGxmkDBq77/1zaqp6EDvv8xuvqUPPO+/Q3ThvmQ+77+iAJnb0hTvv00c3XmMaO+/HI9UEky277/bG2OA59jvvw+rRTMwCvC/gZflNC018L90aPkFz0Pwv+v/s1tyU/C/zhx/gCmF8L+tjXbCPaLwv84YeFEDi/C/8EPjMoKu8L82nEhwdcHwvwhhR9Fb3/C/yM06wgHA8L+B++wItdHwv84Q5+VA9PC/U0FYgkqY8L/7t07ts6fwvzQ1smFYqPC/ev+qxQ/J8L/1WKf6PsTwvwO5SXkp3fC/AUH6aU1R8L8QIJjB0+7vvyE+ZuW51u+/9f+Jqapg778Fz/8S5j7vv8HIRXRMV+6/vwxReRFF7r8qpxx12qLuv8v0Io8r6O6/5NImbzXX7r+7n7WvL0/vv0QSc9Ses++/PGTk+6Co779Rzj7NwpLvv+OTZ5gdiu+/OCB3KWvJ779v3KDs0Rvwv7iEtLpu4++/isc6vVEH8L/GZNkGGkHwv/01IlI8WPC/T2scOSpC8L/f/IvEcJTvv9yM4hRDTe+/O7vCMi0j77+N//AMyRTvv8PssSKB/u6/dukP6Uq/7r+hW0gQLBzvv5VRdxzWRe+/wf1uTdbo7r/faymCsljvv+j9761ale+/ikX5Q1/m77/ndpjzrgjwv3WJmQCA4e+/ZjsXXsfy778alQpV5gbwvxbA9LYEHPC/3Q4CCexR8L/RYk5Xe9nvv0QIgK7gIPC/RrEhcQBH8L8SvVKImVnwv5YZAbtfQfC/Nxu44lY78L/wcH5K417wv/4/MhxRX/C/5NHUnll28L/oYMdzxIzwv1os7o+OrPC/4xAySojO8L/PGCYG58/wvwLfo7QNqfC/U4+hPhZl8L/5cpXR4HXwv+Glrhp/evC/vfdsg2qJ8L8oBCr2NH3wv42AvnsdP/C/ocY+Tfj077+9VAPtzQ/wv+3R+Q+8m++/Ssy9cDVy778VmVMNMKbvv09ETuHw2++/v8XhMa1+7r/BNYAVpSztvzSztRuPdOu/RI1eeZdN678Lq3mg7Ljqv+eNe/SCuem/GkJLJg3Y6L9bGS77UzTpv5/tkUiVHum/2nzQW2TB6L+NTL0TuyLpvz4+k0WUi+m/7lg4Hlja6b8GoiO9UTPqvyHcLc9Zc+q/VQieW9h76r/njad12u/qv2Qkds9bSuu/Wqj5ig5l6r85+fZ9U3Hqv1JNyPQaqOq/iSXDobkm67+8/FZSBInrvxpBABuj+eu/rZ/Bdmgf7L+uyzuIQG/sv8O7sr78Oey/EZdY7ERz7L/AJDjqpc3sv3+lhjS2T+2/qohzRocD7b+BBOCU82jtv1lYK4siNe2/Y9Hj1iH+7L+kHPnqE43sv1no2LMaSeu/hpYkOnMX6r+zknolxuXpvxhqMI5Xmem/QPSwL3eJ6b9tu4ogC6Tpv88BlbGk1Oi/N7wGeDhS6b8os1CEeD7pvz76zPyOJOm/pumzeNVA6b8iPfGXOtLpvwL3y/PRQeq/k10l8LLQ6r+O9z6333nrv1YlDiGkpOu/nsG4PZ4d7L8p0AX8067rv8a0iDEiseq/sEMLgDb+6r/bL0ZyxajqvwAiU3EN6uq/7nLk+W5T679py0mqAVnrv8pxeSq75+q/FNnapHjk6r9Zbq5WFJ3pvzWNJrcJ7um/efEAThYR6b9eX/38VDbpv2FJ00bAsem/lVTU9tU96r8cls0Qwobqv/WuaGJS5eq/Wqmyfh1+67+nOPChl6zrv4A03ImJAOy/NNA4uENI7L+jt/OQA8fsv6hfcp055Oy/M6fET8w67b/qLe5h8V7tv9pZhY0ciO2/9N/EXOTZ7b/JAuhmIC7uvyyD7b/4qe6/DN9ZhdPg7r+Eg2ky5Lnuv3JY3TJBpO6/PzePjiLa7r/0tTimtQjvv46aeHqySO+/cWt4GpoF779upw6kuUzvv4GqhMKBo++/agkQQ1ew77/zdglOzgPwv5MVr+gwA/C/+FElLZgU8L9VJQfqcmfvv5rWcnneuO+/ZxMUeR6B778zAVSv2dTvv95dX1MtZe+/0hR+BLrx7r/6lBE0Q9Puv3iniYUL8e6/2hMJdmyL7r/lDaGitkjuv8Vmd9Ug5u2/LTqjQFEP7r/tLaWBaALuvz1J/mhfGu6/JpbDnuyf7r8gIPoEkKruvwSbHAXUfe6/HsD9U1YH77+s6Kkn2C3vv5eB6MkuM++/JmXe0HFv77/xI2JJ9mLvv4P368fZgO+/VyFmyuyS7791m+o957vvvzgH0mRgyO+/mdU/cczY77/9QURxoCrvv+9svxJlEO+/RnAvatkO77+Fd2MqCrbsv6dXrqv1deu/FeqkS4CW679ZnxfJYf/rv/K0YHkOOuy/9FPor4RK7L893yEn44rsv7OMHFFw0Oy/NXtzUFjM7L9iE+NnPRbtvwtc2LM5U+2/6rjyp1877b/qfaqkmNDsv9q780Bln+y/Zm4jz9aw7L85H5Oub+3sv0rUGNCPKu2/Dv2NyhuR7b8EXjhfhrntv6glRROq3e2//+hM0oyY7b88Pbrc4tzsv1J+gezCuuy/YjSC3JH07L/rZQzDHJ7sv/J+Acsn5+u/UOUKzLKd679SZuyliSfrv5aHFdkXFuq/nklMpyrL6b/fym0fhPLov8iqshax9ui/XJXdRXle6L+r34Zvx1Dov54fn+WBYOi/DImPZ46L6L9hh3LFbajov4kVpPhjnOi/zhEeUvf56L82ywSYgBTpv13a6HxPoOi/VwALSctX6b8Y2BTUIoHpvzEL9LUHvem/Hhlu28G76b/VTQ3bXlfpv2yxsl/WYOi/fSgnMf5b6L84rZB9Wzrov3rklgXCiOa/AHr18KXy5b+U2jtKixDlv+PYUcmkN+W/isdonoT75L8/8TFt9I7lv3t/ryifxOS/07qB2mTV5L/olOPU2h3lv3l4h4afQuS/ByuiyfYn479rNtqkXg3jv0sqrKxXn+K/wM2ouWCT4L/w6UJnVMLgvxdLfezml+C/zb0ZLYHf4L98aoS7dCzcv/6vvpWgDdu/HAEqUsFc3b9SC3u2OsvdvyZH3ktRxd+/Ho3Mq9MF4L+khorgxOLdv0aaxAOWkt6/Bkyg2TSt3b83rJtA0K7ev/Rnn+6vbt+/t4DEbPl63r96zBhxq5zcv0gDZweje96/3Utg4Ley378hzIhGGWngv0t5ZrdDJuG/eELTKO754L8Cjba7g1jhvyjhZBanLeK/a3eVF4se4r+p6NrODHjhv+u7K80sfOG/VDkOZJB14b9vtCU0wVfhv7edMSE4xeG/eAz+fkqT4r/dQOllG0bjv7dbhtD+UuO/pfbaF3Ji47+SI8W6G/7jv45sZ3qWQuO/f1lCBF4A478adRftIkviv/y7tHthm+K/zeBn4YVj4b8IrdsyVi/hvxaq8vXF2OG/id86xpSw4r/oC6e2PxHjvyqUYvpYWOC/VtjUjcFq4L+60mp9omrhv3xz+3pnFeK/pHDQHKpt4r/uhr7KOzzjvzvQ0+MhNeS/qLMjHfTl5L++X29T3nPlv1ieoREmG+a/4Bj2vqlM5r+xT21WUyDnv1L+CrAbTee/I4iGu5mr5799kkZmEzTov4qMXS6J9+e/ucD4j+gb6L/CSRFsQEPovwl6P6wlYea/I9NAnuCK5r/6htfOZBLnv3+BHxy7/ua/El/Ta6xH57+c5vuQrdjnv1OoiQYtDei/5bRY4tGw6L8weyPlWVzpv7SYPtHkFuq/07x8ZeZ+6r/tCiQcBQ/rvxDCNXbzj+u/jf7cOawH7L8BQpIrFFjsvxXdY78duey/ORqu2E8c7b9fr0FoTTXtvwNaGaNXgu2/x87iYxfA7b/jhFuBAQ3uv61jedmMQe6/ySXR+BEI7r8JhqP05XTuv5dYdIzc0O6/bLrWhKPm7r9VwbddDLDuv3sVIgbIxO2/gIPApeiU7b/gp9yB8cjtv8E8qM5B+e2/1FgORYfR7b9VNEiYjPLtv3oYKupZ8O2/gY2YUCd47b9DneJjIhrsv55AM+o0Leu/GjzDZyy86r/1VT2dD4fpv80X5oXly+m/SJbwhFBe6r+mWZ4kiAjrv7r8Q6qKK+u/ocD+51tE678faf8zmV/rvwDAPmNIgeu/4BmAsM0f7L/UJ5lcnQXsv6MdRTksAOy/RzLauDpF7L8Fkzy9WoXsv1HtVaYdYey/7IZIPJbR7L8Rh50lNfbsv/2aubstj+y/tVsIDQsL7b+83qXRPTrtvyVEb7SsDu2/gwkvQmqP7b9BeF+yXLLtvwsSunR0ru2/ZDaHXD307b/ozj5YB0jtv2ZyBOMXKeq/R/REPsQG6r/TRqcp1mbqv4kDh+5QO+m/TEdb9SNP6L+xy4khsI/ov23XtwJaEui/uLertU9a578i2wWWmbnkvz/MljiXCeW/qbQnX83u5L/ichlKUGnlv30p7tZHt+W//jiQ8Tq+5L/+ZF0eX+Lkvy8GBfBKQOW/74jl+e9W5b+LW7ccu9Hlv0SyAIi1fua/6x4YqE7w5r8aKsDLPJHnv/kD2C8J8ue/zVsEr1Eb579pCZtai6Lmv3IYy4g3hea/FDier3T45r9bCfKkPHbmv35q8KYyZea/ZLSlz7PT5r8+AVOYRXXnv3lv6D594Oe/4yQgfboV6L97k12QjpHov7WAEkItB+i/RudsOHyT6L//flT41gnpvy9qakaMeum/tR2YdAkV6r/Ic3O9hhnqv2co+BDut+m/VPAuQlVN6r+mGgw0o6fqv04Y+wUt6+m/vpEGhA+N6r+ooCRBySTrv4mMAY5+k+u/sEvwl9P66r8CsbZqCUjrv5CbPK14nuu/x4UdjmXh67+WEZNMuD3sv/G8mDP9fOy/AK33u+607L/E4tuLUyDtv9/U2ks3Uu2/PTbXEYwP7b86ASEtjK7sv5qfciKFI+2/PyRz88h77b8IA43qi6jtvxSOKtoTxO2/EOtEMk7Q7b+ofDngKt/tvxgkMtpfQeu/8YvoqKku6b+PaC75/Hzov8897CJYkua/kfSIT66h5r+grciuCmnmv0Ngf/UtjOa/HccZ7nfz5r9Um/8/iXvnv4iLGTq7kOW/zscLhfc85b8dJ6AzTC/lv+5/pGIhJuW/9ylBGIzk5L/tjrsfGInlv+bEE3SRD+a//tmBN0Jw5r8HoU9epKbkv1kUQ5GG5OS/DmTXVOD85L8P99PmEczlv6IWHQiKKua/XtMNPE2o5r8KYa99m8PmvyNQ7OcYEee/lPsYYpoS57/k4WaSMd7nv6XErHh7p+e/uwdJgdCJ57/7sVedluXmv5iJ0YsmQOe/WixE2Wjj5r8opj+K34Pnv9JO38kqVui/E5XOMvig6L+jfY6V1ufovyZ23t/gsei/upVkjhRM6b+Kkp9JKgDpv25Yvozl++i/LYqRIxuQ6b/c2uVPdrHpv3Fg0DXmPem/BGVud/g86b/P2GSgUpLov80hbE1WLui/v2YNvFCW578K0mBR6r7nv+gWU0j6/ee/Cgn/kHxQ6L+GOEBIspvov6uXX4zdvee/NAJYFQYQ6L9uKBgT7YzovzRBgd2yLum/Q2FKwPyg6b9ENw4Pndzpv1ei6wIZuem/S3sDuwUl6r8cWmbY61fqvzNAb8Kdm+q/YHZqmeOd6r/JWtBFIfPqvzxpMMyMBOq/5DYiYrQA6r+lGDz8NNbnv2nTgdFAIee/8GKuT1jE579LpkrtDobov7LlzH5SKOm/5J/bMC9C6b92SCY7sG7pv4y+D5+dbem/Zn84nI4Q6r8ZPiBS1yXqv0u6DQVSe+q/dRvjaEKx6r/f3ZpuGt/qv3115/FcM+u/GU3aDtOZ6r/V8BMafOPqvyKP6oCCSuu/biudCzoG678SYRYp1cbqv4FAhpeB0Oq/GAvIV9hJ678hDsHHuvvqv7javeZD2um/spmcAtXo6b+huV382uHpvwDbZ0qmgem/ZgEW+BgH6b/HCXlrAgzpvz+oELHtgOm/Deh9tVs06b9bUOGzuyrpv+6LOw0NyOi/gX4r2xYp6b/GENxIn5DpvwsURC6gF+q/m3k7fY0R6r/NEsiGCdnpvx2ZwCo9beq/Dfz89JHu6b/Qc8UgEG/pvzK4bNEwhui/F68UQtiX6L8aYK6cFuPnv8eeHPYLBui/J398kFVJ579rHl+e6aXnv3Z+GLse6+a/81YCAH1A5r/0gRbMUWnmvwNMgOpL6+W/75Z5EPfU5b9Nwij0XJnlv4O7Y/Bf0uW/1+k5mR8z5r/6xpuq1r/mv7I/Lmk8Jue/KNUg/rFi579PZAXnkxTnv0XRdWGYseS/cIA1Wn2T479CtWuBpFfivwpEcz1HdeK/wvhf8sid379uZWolCBPdvzVAIGW639q/CDzbNzOh278a2jsUG9vcv5unt8dHK92/r3JI2TnD3L867hspK8bdvxrc4kLKX92/wWcGaGAV37/oVfGU2Yjgv8FAAi9a7N6/OZ7ZrfSR379Gy9wvfLDfvzac8Mea292/ILwBSmR71L8upKWhesPPv0k25n+txsy/ZGEhASHOwL+lA6IfOLWYv4CNVV5BVcA/cY84JtNuxz9Zce7SR3fJP3ii2rxqT8g/VBur2LKixz9TFwMCknDTP07FCxByVNc/vYQf6k4v1z/BMeHZ/8TeP5ODDmC9FeQ/hMkXutgv6j8PIgZSmKnqP7oSRsXcJOo/CRJ/OVcj6D/vdnFAygnqP4bN6LmDz+k/3cLADEJz6z+u29zsVmHqP0wG3Y4HK+k/S7Bb+ISN5z/j0lTp2A3lPzYTylTQe+M/Yv7IqEZR4z9Z1suyVkDhP7miO2AK090/Je3HyM3h4D/tL0tmmDjgP+NMSp6llNw/OKgI0aOS1z++SWFRXE7UP94Snh7UN9U/Lz+AbDBR0T+kwGWiSMLKP8qqeGl7I8g/SE2c5p0fwT+lQw4CJRvBP9fgg1tnHL0/HWLgOCqCsj+WHqGzMzKmP+BMEhr5Soq/kvoebHfUo7/NwAGiftKgv0gPO5u8grC/D3JjftTzo78Rrjd6xLOwv7dYZs9G6LW/W5ndUZ6Fv7+nL3DGgnzFvw/ez48Llce//hP0SCPjxr+aeFZijGLHv+uaMKXdc8O/ELRWzc3FxL/oJZ+dpM/Ev2D4NUkzcsW/L3CvdO+syb9riGP1LqPMv/+AMEPOctC/lEHFAgIP07/aCBm3MVfTv6PcwlZbx9S/mjhMPiXm1L/AduM/Vb/WvxT4j7xgNdi/mBFOmjHq2b/nZwsJdNbbv7PFkbMIGt2/gqP+TYe6279UKRZ3jzPcv1bVmXowlNi/Fz2iUKLH1r/NV7huUnXRv8H7V+R4Os2/w1BYOat6yL90EPwkvUbHv93SoC7otMy/loQSGkDr0L82WvLthKLOvz5L8/mNg82/sMYvAwVKyL/WgfSrfwjHv4qEPsLCBMm/1YjnIzR1xb9md9ewUrfDv/fK13gpjMe/GnxD7LDpzb9flMW9TQnQv26djUwUtcy/KFZE/wlxz79BqFi2eEvPvwqvLfER0dC/HEVz1T650r/lwcsT8cvJv7nyMDFs1sS/j2syrR38wr/47JwoB23FvwK9uSar98m/7q4VkTAryb90r/+3xR3Iv7NfyRZcLcy/w//HsJdcvb/4EGP7BA+xv9NMJwUBQ7O/aj7vfhzEu7++s+tyivq/v8hBcLFG/L6/ymQZ4SUgwz8K24Mz7cDNP+p/9dW8aso/eOHnk1JKwz8itL+toYXKP5uQIsSz5Ms/3i+q2+bPzj/WDl3eomrQP+nm+g45+tE/VDwtM39/0T+pLZsA1FvNP/vzI3Hf1cg/1xIiesoLxD+p+7XE77S7P1GiV1UX27k/+hXcYdVxzT+giAo5zYLSP4ZC1KLRfNE/UilCtF89zj+zBPLGGznQP6AXnJvRi8o/4hXPC98n1D8fkFKsypXZP+tof/7THeU/LlJNlsjB7D8kGOx1zvzyPzr5eWnSv/Q/DlhxO7dL9T9VeIVIrrz2P5NU+vUeifY/gU+rgkCg9T+W1srHlX/1PyF61wH0rfQ/ZVb1+Gmo8z/HkqDhi27zPxFNMT0agPQ/6AbLnLib8z/8evOSBrHzPz7k7jsAuPM/vv5Brix68z8ru9vglUryPy8GqcKwd/A/I74czQep7z9JZEhLoo3sP+fvFTwWoOw/EQ2S+LOl6z/MCTMNqG3rPyktVtE/KOk/SLxxaU5n5j/PtMGzjiXkP15Q5Syt3eg/h60uHImA6j+SHWWoW27pP1mMwPpOCeg/uTHBFopl5j/WaXdupB7nP5mYW8A9OeY/2GyXwwIu5D98f4wo1JrjP58dDd9UwuE/NwtGNgaa4T+Bhe2E6mvgP1j8inXjZOI/cJ5mxT975D8zNf0eon/oP2DNfOfcg+c/SGwgc1Dv5T+hW0b02x/nPwsfIrYLsuc/Z3kv8u5z5j9rFGq+wH7oP4oh2Sc0oec/TlGR7H8M5z9fTjDLwp3kP5YFrEvjLeI/0stkZRIT4T8m3ShCnJTdP30hbu9Vldk/moLrj1TU1j/juejNo47SPxCzSQHP6dM/pRccUl7Q0z+ueSHzrfXPPxMaOPgATsg/8JAtOCw0zj8aDMdOBu7RP/BEKiMdPNA/dd1daqhEyT9mIKIxvOnBP6A+xYNGL74/NPzonX8dtT92o+juR/rDP2CwnWTrPsc/NnlmeDixxT8/W8Y8aFTAP7ndJ+eijM4/WHLEdd2NyD+y0W/sFM/CP8xPM4g53cI/BJRh5zxKyz93l8DwOX/UP2mNt7EdxdA/4yPKM6tnzj/o2PAblSPUP3Sh0WOHrNY/QckniJfi1D9qBQT2iS7UP6IDD80jD9w/Bl06OUN92z88lcyVP/3dP/ckPARmjuA/462sA6Yn3j//qEw/T/jdP3GQoVDMMdw/XtganN7V2j/KrhcVRfjXP4A1v57Yfdc/1JDUrWfR0z+wDom5/NfWP6N8BjouJeA/M04fFuRm4T+lQGzzKLbmP5XS9QkhYuU/Yj2NFxI45T9eWUiGGLTmP1uhACdRxuk/j0KWKp3r6T811rEoP4TnP2HMRV/5ReU/OJr6jlaj5D/AahxnT+/hP8B4Ri2H698/o3pL1PA63D9H5sAinA3aP9Cbt+E1Gdg/hqoX2yWL1D8+MF6LHlLUP+IhrkGtOtU/xuLehwlt1T9bLRce0jfSP9aE9oDmgNQ/su9p4d+o3z/KTlOAsY7fPwO97XEHSeI/P8MchLZQ4j88HDd7JXrlPwLI1QGjHOU/FzsccH3z5D+IfppMNArmPzvWw9PYXuY/ig6HqUed5z+0zCai31DpP7UdogKCkuc/kNvDbaOF5j/4mVLiMhHlP5X4l5wRluQ/k+Kk2c6/4z+MlwCmpUvjP8b6pGly5uM/rxcI+Sh24T9alI2CnJLhP3/QtBahYd8/6Ghoa7iD3T8e+ZCI32bbPy6VIjyON9k/NVtGU8Ca1T/P1HwaTMTTP8L0EgngfdQ/INlWNkKe0T/zyq7CeHjRP19r0ogQLMs/iLiHhfDByT/mmVF+gSbHPx0pjF8ljMk/meJ6QXdrxj8vH3UMJzPIP3ZLq/Tufsk/0EFAQW4MyT+g6u3pqZXBP8cWJR8I6bs/dkpSg56twT/oBlYvbfC+P7ZHs0XFbL0/h/z50bfxvz9NLovnYEuzP7V0GRkeDpc/n+BErehwcb9O7934LnWwP0j+X+qXfqs/5+u6QkKaqD/7OhFGkOPDP0RAHLgMMcI/BLVgCmq0wD/dWLoYKC63PwsbNnMcKbw/nLeQWXRuwz8czT1X+YXGP04xI4qlJMg/bSWgy3iXxz9xmCMENTjEP/ML6SKGxsA/pyuMJG7QuT8ZolOBq0y7P56xFLGfiLo/hbiTGvNRtz8m9pwvTo6vP9CheVWYmVu/RCRFv+1ZdL95JHk+hoWrv8ONlqV27be/YyCx1c+qwb8Xa6NHCajDv3jzVk2Da8K/SsGn0FRSxr9UzDrxvCnFvwnfP1DVB8q/JEkttAn+yb8XoKIK/AXOv/p3IhV/P8i/0524dg78zL+Xgo0GVe7Lv8xKtqkr2si/9nUMf7gGzL/eqvARoZnHv2CCPSsHzMa/fj+wrWUszL9oYRvBLGXOv1AeDjcHo9G/rwAJkYOI0b9DgPZj7G/Rv8FScDtJsNK/MLNdJ5vI07/C8NtQYDXSvwy6FKq5b8+/u7DV0MY9zL+8WoNw8KvEv2lCIGghqsG/003rqTnpwb9pvEVKvMi2v/zMdbQqkaO/4nSp6eFPm7+KBC2PxFeSP/BSlBAwsbY/2FHcEZBwwz/QiXXbj++5P1t7d4JkW7k/zAKVblT0sD9jQ8syvg6mP3qTzF1tM7M/FCeKXurVwD+eDJgmGh+5P7O1YyS3arM/uyu0Jrrxoj8eeIkk7jWlP6MOtwdjH1q/BLy9Wu5oor8p3D+IPQ2zv63NkTpm4b6/rSlhKsPavr9mfiCfFODEvwa1t+XL5MC/kJj7p5lTxr8fMd8Nfve2v/B8e1se5bW/i5c4CBdqib89hdLQ14GSPwFvkkEjv4q/sslJqWYTmb9F/O94goisv2vd8e604qy/Q6OfmXPAtr/Wq+qxRbG7vxGFt5vdyJa/lHNck1VSqb81LDkz3z+dvyB3ZAsFjaO/F+COLFYLs7++sgVnveGtv/jwxxmLeKS/JXliZgHYq7+4hHJwIgK4P0nO9dTacLY/aIRZ8D8pwT//YpHim8zBP/ImDFlLgbk/vrqPh1dSuz8JQv8OMj/GP9R8WWRo7cA/GN2SGt1EwT8pdhG0cDW1P9LB04+8E6o/cxKErmwasD85jTzpEiS4P7Je7WJxZrU/9Jm/0DHetz8FgffQ3EHAP4aVhROb0sY/YIaPNtAwxz9VXW3xXpPKP5NXbbS1vMY/G6dMO8x8wD/0xJhsRNzAP2dKAXacV7s/eRFy+HVQtj9kTBKej423P04xAWkgH6U/Pl0EEIf+sj9Dw3ubWlaxPxWNSVrkv5s/Ljktdft2d7/J1Ezjdqimv9/SPj93m7K/bnBjcYBWtb+TKAEEsDvAv67vyBQgdq6/rOx6zWY+sT/LiYp5AFOkP63JN72bpKc/9GTP2zzhmT9DJjkoAIx7v4dvVD5fq5i/cediQdTWsL9BeoErfBu7vyL7UIOxY7a/xC59JtTavL8I6Yhl1164v6QtWxJfa7i/W7+3CHMnu79Cfj5ygAqqv9Ebi0w5Eq0/QqtRuYH+vT8gr4ib5SHJPzYTidr8vcc/2I8Tzx5gxT/fLExowX3QP6c1TxvkMNM/GSjZRJJu2D9cOUel8a3dP49X2QTlnuI/La787m8x5D9fu4ARtYzmP4bCTUL9++g/evDv7Ocf6j95/dVs7XXoP11A9RPubOk/S6XjzicJ7D9hhPxwuELtPwHYvVwHIfA/Lm26uj9Q8z94LG2SNJHyP7L3z2x20fE/XpMc6clY8T90ALcDq7PwP44KSOKx0e0/Y4UIP/Fb7T/d1VukNm7rPyCO/BPUSuk/nPgA9KxL5z+DoSj7vN7kP9XxRJM2XOY/0/IjJQ0T5j9A+CS1n7nnPwIu/n+bKec/SHrBTBwG5j+twSjTY1XmP10Frn+bp+Y/64CuX0G25D9fdpPX8qzlPxcWBmUqLOQ/PUmqxxzd4z9RAHYdPTzlP//M8b+M6eY/TCqyR4fS5j8i/y9UwdzqP2bVV2oDaOw/Et+Whx/F7j+or6a0S9XvP5vCRPDih/M/V49tCiC68z/bw4AkPUDyP6Se86g25PA/n5EvYTmC8D9yKpbH7IbvP7MTfAQFrO0/kt4c0kb77D/gT0ce/vvpPy+ruXJPd+o/kW/DH95C6z9TzH1FtrvpP6PGS/ANfuk/d7sof8lk6D8LnenrgULoP38NH505cOg/YUQ+IXOA6T87Rd8HP+TrP4RPZGw5jfE/BGEENpUy8T/KU/fWeCnwPwD2LRjQHvA/kA9OjKTq7z8WrnYUA3DuPwAOPSuX7e0/0BKX89KH7z/JTCv9VyDxPxs/Uo57xPE/LKF8SYHs8j9AumYz4sTyP+rXSYmKivI/TamX8suk8j8/oC8ZcO/yPzTsH/ce/fE/fgkBifvd8T/rQ0dk5PrwP4QVrkoK0PA/UtS9ny7t8D9YGBVkBHDwP8dDccd8Ze4/aW9Gzetw7T9In+Gx6DHsPwf/GMwVeuo/N9f7vXiw6T+wXk2rFC/oP4YETNdbLeg/JYFjI8/95z/7zklxAdfoPxbL9YzbCOg/FryGiLil5j//zYGv3DXnPwtTVXu3NOc//SbxR7pe5z90C0/zrrjpP9RCZ92NUOg/YaB04+X+5z+jiqZ2hW7mP1JyHOdtKug/gFjRPQqe6j/0cAqVCwjrP7Z/XrXxCu0/4F73GW/y7D+/D0JONWrwPyCuy1JOx/I/ExyFmzC88j+TFvlZA2DyPxyM7xDUoPM/tqfHe57z9j8cmW+6Y8j2PzQF5Lt47PY/PsKixVVu9j/CXbX5i8L4PyHxgWoq1fk/FZMXsYed+T/bA0dldi34PwxqpR2tV/c/Ve37txJw+T+1wFUCnvr4P5L2zLpRQfo/r5UnWKQU+j+6ysUq+vr5P55zx3MNlPg/HuYLKRVi+T+za0WDbmb5PzK6tO9UP/g/W7w2z9NP9z9x7iT2w6P2P6Mk3d+GVPc/Yvi+irQ99j9ILKlasev1P6v76FVuOfQ/phTIa4VY9D9/vymL94r0P+MZWUSfyfQ/Gq+H8hQs8z/aGddJdDrzP4P90+LR9fM/shAhfhfj8j+dX4WmsyTzP/qysbhSdPI/ojHn49B48T+HjULbzMjwPxOwtSaQCO8/KmyTIs9Z8D/qyjbqIuTvP/6VFMi0Y/A/Glvf/i1E7z/rXqG+iVLvP7bi8e8kiO0/kWTl8zGI7D8j8CcI42PqPyARXPX1Muk/OWHui9xz6D8pxDDVI5roPwbBw22+R+o/LyW4PEBs6D+BmfMMZi7pP7D5GFh5ROk/z/MmL/hB6D9YdWOkd6LnPxIEd4/AM+Y/2WzERZe/5D/LTunH0t7iP76+urDc/eQ/Z5DNagYn5D+nvBGk0szmP2cGM3l4POU/mvqD5rnf4z9vuH6t6ODmP9LNBD9iYOU/YRPcblkW5D+9HsJby77jPw04GTLwQeI/ElxLQSf14j/EC0578sjhPwmCRL6nr+E/LJvMFpR/3z8SK2BYc+zbP4X+zFsRDNw/TaJQooEc2D/OOVx8jNfWP6a8kVnvINk/FA78XAwI1j+VX2Yyk7TSP6bzGv77TdE/0mlFzjn82j+pxNJIv6vbP6c1w1bXpd4/B5zaCQFD3j9YMGGuzpneP3e1eE+VTeE/CouFWnPs4D/7my9EUzDgP48u0OQ4NOA/gp6LrVi33z9se4nBM4LjP0tMY/QPd+o/CLpEaVKI6T9P+QriWynpP47pt7la5eg/audEr7tK6j9Y1RFqFxLrP2cyIdSI8+s/5Hc7I8f96j/9X8s1KszqPzz6UzSwj+o/YZz3vt8P6z9TV4gvK/LtP1ZtFfl5kvE/rvOwIJ+z8T/PjuxcufrxP8KTVeHgVPE/bw3ok0oR8T/aJKHslVbvPxht0Fv5bfA/8kaPQ1FH7z8UrFCv3ZjtPyot9ilJ/eo/g0vSNrM78D8SM5xceCbxP55sFyrN+/A/LjoVCkm28T/MOlr9PefwPxeKh86+CPA/W+jEvGpU8D8A96ja+w7wP8DsUh8vYO4/d/4Svj8T7j8OSMqry9TuP2+gB8WD+fM/QwIB6WI28z8bPbTWPOnzPzEgyce6CfU/5GP1x2+V9T80C1denzr3P44OeZTZC/Y/YnK+mQ819T+87DLSjfn0Py0ttNQSwfg/B7tOowGu+D+wQlKD0wn3P4G2vmCH5vY/XJHL4XRU9T+hMcQnSVP1P+0642ch2/M/qOE/ZgT38j/zZKMOqRfyP9K/hUQAuPA/GtGfhhJE8D9Q/8aL80jwP5RaDa6GJvA/0QEKusAd8j/ftYNh/MHwPxGFhYSCJu8/pOO557DC7z+uQvfhCUvwP1kuDEpzFu8/KbjnREvO7D+aslHb3QrtPxMohPs84Os/+nqFUKJf7T+aVj+lSYHuP8VljFZ6ufA/TD5bDh5B8D+dk3xPKpfvP9cXDN/cJu4/s6OrXqkc7j8umbnc1cvuP8xxMdm3wuw/pNsbdq1G6z/K0xbulizsP1LKOyJaMuw/7YuDXcEN6j9FI2MW/M7sP6ljc5zo0+s/vv+Tw21D6j8U3a/aGYHrPxM5nWqS1+o/1vTC3Z9+6T8ruNy9WCToP3W/xStyoOY/bjl06TK35T+XiKhlwsHkP3iH/M8HV+Q/HtO4II+24j8JFw7MrLDiP+N76i1Bh+Q/AGDxjflQ4z/PL+9/+ijjP7CiOOIehOE/GkjVHhr54T9ChG66AzHhP1gDwo7hod4/QJVy0w034T+IeI3PKH/jP3xPb8jl5ek/EWIAhYxF6T+ZxOwZqavpP2q2D6Y8yug/6xMpK/h06D9kXNIQSSLmP7bIpFKaWuU/IKF5sRA85D8b3i7FEMfiPzyokmy71OE/r4nObAfR4D+J2z91wFHhP4jxeI8uQ+A/zjljxQZD3z8yuZqP92XfP7DopExfxdw/HZGLG3bb2T+sohy7jH3XP5tkhzXVN9Y/YIY0eJJu2j8KQ65QuYDeP54s9QDI7tw/Ze68eFAm2T9AmogEHCXbP5KGp58Sydo/Nyr4sf423z8DKdtEMX/eP9RhUSrd5d0/vTBaS0la4D9BnIFNFfzdPxHfoV+dMN4/4iuOGUiN3D8oHNH7bFneP2l3ebve+t4/RuJmIUJz3D8LLkN/2wbbP2kq1RUa09g/T9FetvTJ2D/527xyAevUPxg6HdEhdtQ/V0fYhyO80T/n8Y0uCN/MP3dSlZLcHNA/zZIXqHdpzz9X4hUPO/zSP9S9GKgyvM8/C+uv+fHiyz8NdnMTe+DTP2QdyYKuKdI/ZwVghdL+yz/b3WKEZ/bHPzkZCwtFNMY/U9a6Uvgrwz+EEXjXYVu/P35ofgB7zrQ/B/Lme5vdsj8C5OItDCmwP3GqgGyJTME/UU2Nmuspuj901DJVH+OwP4DaUieeTbE/Fv/xJYNEuj8RjIWrQv68Py+FEKHsANQ/xYri+pmQ0D86JOeJdaXLP74EcRDd/8c/lBAfdOBVxT/NqDMzN8XFPzSv3E7TNMA/oRWJEGd2sj9itUIxlhawP286ov/ceq4/g3aqSqcWjD+GZkZYjx2Uv37zKYg0JIC/0zy93sjjoL98gQ8sSTinvxnefAQLyqK/fNTk+ZcyUr8v8vcSkhJjv7RAw8/QKJI/6Q8lBygBij8vNwo24N/EP0yffARoq8M/D/c91Nz5xz98A0XfR6vJP41JwG7+dsM//HhxSAlywz9BDGP71tK7P5MyLojGg7c/0gjrCwPctj+qmj+T7BG2P12koDkBDKg/hBkYwxzTqT/riCVHJ82yP6fhjPnAw7A/Rx4KbJxQsT9ZpVtTwIm0P6vY2m7aHbA/vZmLKPHndj/X1KzxYsu1P7bk+Ic6eLA/kY6K2EnDqT92ddKjBGurP71fcPTY5qU/d19Crr9Usz9nwJbc35yyP6BOe5LHQ7o/SZAU40H0qj9F9p4YzjmGP2YXMoKtTac/ugTtf8BakT+X6VazrLu+P2qaBLCSV8Q/Cn/OfyDsxz8+19Rs/8PHPwAsk4BF1cE/YwVHjlJYvj9TsbVTejzHPy+jXyctHsk/EiZNzkwCwT9iCPRcofK0P/XocKzqsr0/cN2FG3DqtD9u7qWk7NPTP+B4Y8Qtitk/mG7Stsjb1z925LNG8BPZP3CNOX8weNg/kUQYxS141T8JjTy2rGLTP5lLvc0+kNE/dcFEt0P6zT+FMXeMSBrRPyCCNHMJDdE/MG46qz2czj+0seIZ1eDIP+88EOlwyM4/QDBYcNvr0z/RAwQ7KhnUP58tLFqzV9E/C16WC7Vj1j9vpyr5sUvXPwl9AAT5Z9M/Ixsw5Pa40D/mpgkc7OjNP+bJTEoYlNo/FfpsLeX54z9h9Os7E53iPxFchwZOquE/XB6JasVx4z8umV3SHdjiP5yLEQakYeE/gZr23EQ04D+ee7MdFwbhPzcE+kg2Vt8/x+geY3Jy4D+aEf3TPyHePxwGRH2VK90/62zj0D2I2z8J3YXHBaLdPzv8hCc2nN4/lUsuE/Y74D8ZyF9CHmTeP8Z3xBUs6d0/o7RS+wh43D/tZHyw5tTbP6wBcFAPLdo/9heDfqdB3T/D7GVC6ZXcPwPHaJfLnNg/pxEifnsC1j9azs5bOvjVP1ztZE+mCtc/HMlZdYBG1T+0tU6X7rDWPzkTs4M9udQ/Dui0h9RN0z+j9ygm517SP2MDPKAwW9Q/+cy/b1L90T80J+0rDRXRP0sJE7J32dY/r7oXP9sZ1D9KdOrfr2fTPwOnW1g239I/vQc017fj1D9dBAmoehXWP6qvHIr/Htg/HA8eKMS/1z909UGoN/jXPxqj4e+oh9Q//PnIdsRa0j/vCvfGJRTVP3UJ12lamdI/9pmYvsnV0j+e0o81lDjQP2Lqj9o4n88/TjY1XEqxyT8n2xazpQvGP7ouprEDqsA/NJcrSlL1uz86kU0e5eK0P3zAQ1d+Yac/G1ApwvWugj9QDW6TG9GaPyYQ2HlckHw/b4m+BOoCb78JqAR8mWujP2Gir+g4U74/T/IPDPFuvD8MQeuU5PK6P8n2zN5yTrY/qcHYB6PtwT/7wh8jG1/CP/TXWqMGGcQ/0Lp7T6V4xj/lSo8Ndqy+P+wWkOr9x8A/purx+icGsT8lf3LySeWxP2YiUOrXUrk/7K/OT6DitT8kfOLYH7mYPzsZzu3Ss44/Vnb/ud79mb+z/FjF70+Wv8Y9T1CHs8g//um5zuIqxj9uvZZ6PvzHP2ENvDElI8Y/5u0Fc5i3zD/LlBMcgJ7LP9KqIVdMA8k/iTtU7j7myj8npIQG8iDEP3v05bGZb80/6DnBgZeNzj/2i43Tw+PWPyoB1C2M19Y/xi4Cl0vR1z/onE1twIfUP7JMfVj0v9E/vhLYD+G00T9maUCCTeXQP+XPzvstMNA/4Umzko3o0j93tpDt0PvTP1jXYkl6ttM/wACzUliu3j9upkhQ4EfePwjli8jm79s/swWyGMOI2T/MiGJdfbzWP8I/Hy/QsNM/JN59GX8F0T9bn5iS9CDSPzC+oBae6NE/sogs8lrR0T/VqxS7/9LRP2h9i7rFINA/nTVXB7syzD8/kbBYhUrKP3eC4mm7Ssk/mlLOSNQvxT9BgAR8dJbLP4H/OUAbUMs/3EUJPOdIyz/43FO3rcHMP1Mjpt0+vNQ/n2NYPtPA2T9LH5bJJsnXP9KR7iiGO9U/mHiF3K+U2D+JHm91uivZPzMAqr30Sdg/6Yk7/cQ41j/7cOZf4unVP/fFo+mTj9Q/ZyYrTcK02D87Y1iw1iDZP7W+Dcsyhdk/Fgb4sc3D4T+IvAovfuvgP2ujzrJP6N8/8vVQg8fd2z/P/PpEK8TcP4rd6JzZINs/Ux8VQ6jK1z8D4xkvTD3UPyK5r6Utn9E/3yi+s+p10T8ULW0rXa3LPxBZ8gka6MM/z7L7uDnsvD8b5RIIQVi6P8LQkZqKm9E/I8m3TJXU0z/JFiSaXdnVP9EWD0Ngz9o/9ThX36f42D+JuNIvNP7VP4hkW9akM9U/5wXZ24Nm0z/ZGDHjLOnQPwy4D3sbx9A/B915Z+h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"Volatility measures (z-scored to compare shapes) — do they spike together?" }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "rangeslider": { "thickness": 0.06, "visible": true }, "title": { "text": "timestamp" } }, "yaxis": { "anchor": "x", "domain": [ 0, 1 ], "title": { "text": "z-score" } } } } }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Correlation between the three volatility measures (should be strongly positive):\n", " atr_14 bb_width realized_vol_20\n", "atr_14 1.000000 0.269261 0.357539\n", "bb_width 0.269261 1.000000 0.680796\n", "realized_vol_20 0.357539 0.680796 1.000000\n" ] } ], "source": [ "vol_cols = ['atr_14', 'bb_width', 'realized_vol_20']\n", "normed = (feat[vol_cols] - feat[vol_cols].mean()) / feat[vol_cols].std() # z-score so they're comparable on one axis\n", "\n", "fig = px.line(normed, title='Volatility measures (z-scored to compare shapes) — do they spike together?')\n", "fig.add_hline(y=0, line_color='black', line_width=0.5)\n", "fig.update_layout(hovermode='x unified', xaxis=dict(rangeslider=dict(visible=True), rangeslider_thickness=0.06),\n", " yaxis_title='z-score')\n", "fig.show()\n", "\n", "print('Correlation between the three volatility measures (should be strongly positive):')\n", "print(feat[vol_cols].corr())" ] }, { "cell_type": "markdown", "id": "b9c1bf37", "metadata": {}, "source": [ "## 4. Trend — `sma_20`, `sma_50`, `ema_ratio_50`, `ema_ratio_200`\n", "\n", "$$ sma\\_ratio = \\frac{close}{SMA(N)} - 1 \\qquad\\qquad ema\\_ratio = \\frac{close}{EMA(N)} - 1 $$\n", "\n", "Both ask \"is price above or below its own recent trend line, and by how much (in %)\". SMA weights every bar in the window equally; EMA weights recent bars more, so it reacts faster.\n", "\n", "**What it proves below:** the EMA-based ratio should cross zero (and react to turns) *earlier* than the SMA-based ratio of the same length, because EMA has less lag." ] }, { "cell_type": "code", "execution_count": 5, "id": "6641320a", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "variable=sma_50
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"SMA vs EMA trend ratio (50-bar) — EMA reacts faster, less lag" }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "title": { "text": "timestamp" } }, "yaxis": { "anchor": "x", "domain": [ 0, 1 ], "title": { "text": "ratio" } } } } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tail300 = feat[['sma_50', 'ema_ratio_50']].tail(300)\n", "\n", "fig = px.line(tail300, title='SMA vs EMA trend ratio (50-bar) — EMA reacts faster, less lag')\n", "fig.add_hline(y=0, line_color='black', line_width=0.6)\n", "fig.update_layout(hovermode='x unified', yaxis_title='ratio')\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "8218aeb9", "metadata": {}, "source": [ "## 5. EMA of log-price differences — `ema_log_ret_85`, `ema_log_ret_95`\n", "\n", "$$ EMA_n = \\sum_{k=0}^{W} \\alpha^{k+1} \\log\\!\\left(\\frac{S_{n-k}}{S_{n-k-1}}\\right) $$\n", "\n", "The lecture-slide formula. Unlike the trend ratios above (which track price *level* vs its average), this tracks price *jumps*: it sits at 0, spikes when a big move happens, then decays back down. Higher `alpha` = longer memory (slower decay).\n", "\n", "**What it proves below:** reproduces the exact spike-and-decay shape from the lecture using a synthetic step price series, then shows the same shape shows up in real AAPL data around its biggest single-day moves." ] }, { "cell_type": "code", "execution_count": 6, "id": "5c154915", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "line": { "color": "#ff7f0e" }, "name": "price", "type": "scatter", "x": { "bdata": 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"ema_log_ret_85 around AAPL's biggest single-day move (2025-04-09)" }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "title": { "text": "timestamp" } }, "yaxis": { "anchor": "x", "domain": [ 0, 1 ], "title": { "text": "ema_log_ret_85" } } } } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from toolkit import ema_log_returns\n", "\n", "# Synthetic reproduction of the lecture slide\n", "n = 250\n", "s = np.full(n, 100.0)\n", "s[150:200] = 105.0\n", "s[205:220] = 95.0\n", "synthetic_price = pd.Series(s, index=pd.RangeIndex(n, name='t'))\n", "synthetic_ema = ema_log_returns(synthetic_price, alpha=0.85, window=50)\n", "\n", "fig = make_subplots(rows=1, cols=2, subplot_titles=('Synthetic step price', 'EMA of differenced log prices — spikes then decays'))\n", "fig.add_trace(go.Scatter(x=synthetic_price.index, y=synthetic_price, name='price', line_color='#ff7f0e'), row=1, col=1)\n", "fig.add_trace(go.Scatter(x=synthetic_ema.index, y=synthetic_ema, name='ema', line_color='#ff7f0e'), row=1, col=2)\n", "fig.add_hline(y=0, line_color='black', line_width=0.6, row=1, col=2)\n", "fig.update_layout(height=400, showlegend=False, hovermode='x unified')\n", "fig.show()\n", "\n", "# Now the real thing: does AAPL's biggest one-day move show the same spike-decay shape?\n", "biggest_move_idx = feat['log_ret'].abs().idxmax()\n", "loc = feat.index.get_loc(biggest_move_idx)\n", "window = feat['ema_log_ret_85'].iloc[max(0, loc-10):loc+30]\n", "\n", "fig2 = px.line(window, title=f\"ema_log_ret_85 around AAPL's biggest single-day move ({biggest_move_idx.date()})\")\n", "fig2.add_hline(y=0, line_color='black', line_width=0.6)\n", "fig2.add_vline(x=biggest_move_idx, line_color='gray', line_width=0.8, line_dash='dash')\n", "fig2.update_layout(showlegend=False, hovermode='x unified', yaxis_title='ema_log_ret_85')\n", "fig2.show()" ] }, { "cell_type": "markdown", "id": "9c57a691", "metadata": {}, "source": [ "## 6. Volume — `vol_change`, `vol_zscore`\n", "\n", "$$ vol\\_zscore = \\frac{volume_t - \\overline{volume}_{20}}{\\sigma(volume)_{20}} $$\n", "\n", "A z-score of trading volume: how unusual is today's volume relative to its own recent history? High |z| = unusually heavy or light trading.\n", "\n", "**What it proves below:** the days with the most extreme `vol_zscore` should line up with the days that have the biggest absolute returns — heavy volume tends to accompany big moves (conviction), confirming the feature captures something real rather than noise." ] }, { "cell_type": "code", "execution_count": 7, "id": "f323ba13", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Top-10 highest-volume-zscore days — do they also have big returns?\n", " vol_zscore abs_return_pct\n", "timestamp \n", "2024-09-20 4.187023 0.293176\n", "2017-02-01 4.009499 5.919366\n", "2018-06-15 3.994541 1.032568\n", "2026-06-26 3.962902 3.088290\n", "2017-09-12 3.960326 0.397087\n", "2019-07-31 3.912727 2.019879\n", "2017-08-02 3.853772 4.616862\n", "2025-12-19 3.853711 0.542268\n", "2018-08-01 3.805921 5.724022\n", "2025-09-19 3.798938 3.153057\n", "\n", "Correlation(|vol_zscore|, |log_ret|) across full history: 0.240 (positive = volume confirms moves)\n" ] } ], "source": [ "top_vol_days = feat['vol_zscore'].abs().nlargest(10).index\n", "compare = pd.DataFrame({\n", " 'vol_zscore': feat.loc[top_vol_days, 'vol_zscore'],\n", " 'abs_return_pct': feat.loc[top_vol_days, 'log_ret'].abs() * 100,\n", "}).sort_values('vol_zscore', ascending=False)\n", "print('Top-10 highest-volume-zscore days — do they also have big returns?')\n", "print(compare)\n", "\n", "print(f\"\\nCorrelation(|vol_zscore|, |log_ret|) across full history: \"\n", " f\"{feat['vol_zscore'].abs().corr(feat['log_ret'].abs()):.3f} (positive = volume confirms moves)\")" ] }, { "cell_type": "markdown", "id": "b7719124", "metadata": {}, "source": [ "## 7. Calendar — `dow`, `hour`\n", "\n", "Simple integer encodings of day-of-week (0=Mon..4=Fri) and hour-of-day. Captures session/seasonality effects — e.g. Mondays or the open/close hour can behave systematically differently.\n", "\n", "**What it proves below:** average return by day-of-week, on daily data — usually close to flat/noisy (any real \"Monday effect\" is small and decays over time as it gets arbitraged away), which is itself an instructive result." ] }, { "cell_type": "code", "execution_count": 8, "id": "bf9cc044", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Average log return by day of week:\n", " mean std count\n", "Mon 0.001995 0.018904 541\n", "Tue 0.001140 0.016490 597\n", "Wed 0.001947 0.018186 594\n", "Thu -0.000676 0.018285 584\n", "Fri 0.000084 0.018496 578\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "index=%{x}
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return', xaxis_title='')\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "a1a0c0e0", "metadata": {}, "source": [ "## 8. Rolling beta vs benchmark — `beta_60`, `beta_120`\n", "\n", "$$ \\beta_t = \\frac{\\text{Cov}(r^{asset}, r^{bench})}{\\text{Var}(r^{bench})} \\quad \\text{computed over a trailing window} $$\n", "\n", "The live version of the lecture's \"largest constituent\" example. Captures how strongly the asset currently co-moves with the benchmark — and because it's a *rolling* calculation, it doubles as a drift detector (see the ML trading guide, T7).\n", "\n", "**What it proves below:** beta is NOT constant over time — it wanders, sometimes dramatically. A model that assumed a fixed beta relationship would silently go stale." ] }, { "cell_type": "code", "execution_count": 9, "id": "cb4504f4", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "variable=beta_60
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"title": { "text": "AAPL rolling beta to SPY — not constant!" }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "rangeslider": { "thickness": 0.06, "visible": true }, "title": { "text": "timestamp" } }, "yaxis": { "anchor": "x", "domain": [ 0, 1 ], "title": { "text": "beta" } } } } }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "beta_60 range over full history: 0.45 -> 2.04\n", "If beta were truly constant, this range would be ~0. It is not.\n" ] } ], "source": [ "fig = px.line(feat[['beta_60', 'beta_120']], title='AAPL rolling beta to SPY — not constant!')\n", "fig.add_hline(y=1.0, line_color='black', line_width=0.6, line_dash='dash')\n", "fig.update_layout(hovermode='x unified', yaxis_title='beta',\n", " xaxis=dict(rangeslider=dict(visible=True), rangeslider_thickness=0.06))\n", "fig.show()\n", "\n", "print('beta_60 range over full history:', f\"{feat['beta_60'].min():.2f}\", '->', f\"{feat['beta_60'].max():.2f}\")\n", "print('If beta were truly constant, this range would be ~0. It is not.')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Summary\n", "\n", "| Category | Features | What they answer |\n", "|---|---|---|\n", "| Returns | `ret_1/5/10`, `log_ret` | Is price movement scale-free and stationary? |\n", "| Momentum | `rsi_14`, `macd` | Does the move have \"steam\", or is it exhausted? |\n", "| Volatility | `atr_14`, `bb_width`, `realized_vol_20` | How choppy is the market right now? |\n", "| Trend | `sma_*`, `ema_ratio_*` | Is price above/below its recent average, and by how much? |\n", "| Jump detector | `ema_log_ret_85/95` | Did a sudden price jump just happen, and how much has it decayed? |\n", "| Volume | `vol_change`, `vol_zscore` | Is trading activity unusual right now? |\n", "| Calendar | `dow`, `hour` | Are there systematic time-of-week/day effects? |\n", "| Relationship | `beta_60`, `beta_120` | How strongly — and how *stably* — does this asset track the benchmark? |" ] } ], "metadata": { "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": "3.11.15" } }, "nbformat": 4, "nbformat_minor": 5 }