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"# S&P 500 Options Analytics\n",
"\n",
"**Docker image**: `ml4t`\n",
"\n",
"## Purpose\n",
"\n",
"Profile the AlgoSeek S&P 500 options analytics dataset for an 8-symbol 2020 EDA\n",
"slice — chain structure, implied-volatility surfaces, data quality, and an early\n",
"look at the predictive content that motivates the options case studies.\n",
"\n",
"## Learning Objectives\n",
"\n",
"- Read an option chain and locate strikes, expirations, and call/put pairs.\n",
"- Construct and visualize an implied-volatility smile, term structure, and surface.\n",
"- Apply IV-convergence and Greeks-validity filters to clean options data.\n",
"- Quantify a baseline IV-change → forward-return relationship in the cross section.\n",
"\n",
"## Book Reference\n",
"\n",
"Chapter 2 §2.2 (asset-class market data landscape — derivatives).\n",
"\n",
"## Prerequisites\n",
"\n",
"- Familiarity with daily OHLC equity data (`01_us_equities_eda`).\n",
"- The AlgoSeek S&P 500 options EDA parquet at `$ML4T_DATA_PATH/sp500_options/`\n",
" (8 representative underlyings: AAPL, AMZN, BA, GOOGL, JPM, KO, MSFT, XOM).\n",
"- The S&P 500 daily-bar parquet covering the same 2020 window.\n",
"\n",
"Loaders used:\n",
"\n",
"| Dataset | Loader | Coverage |\n",
"|---------|--------|----------|\n",
"| S&P 500 options (EDA slice) | `load_sp500_options_eda()` | 2020, 8 underlyings |\n",
"| S&P 500 daily prices | `load_sp500_daily_bars()` | 2020, same 8 underlyings |"
]
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"\"\"\"S&P 500 Options Analytics — options chain structure, volatility surfaces, and data quality.\"\"\"\n",
"\n",
"import plotly.express as px\n",
"import plotly.graph_objects as go\n",
"import polars as pl\n",
"from plotly.subplots import make_subplots\n",
"\n",
"from data import load_sp500_daily_bars, load_sp500_options_eda"
]
},
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"parameters"
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"source": [
"DAILY_START_DATE = \"2020-01-01\""
]
},
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"source": [
"## 1. Options Primer for ML Practitioners\n",
"\n",
"Before diving into the data, let's establish the key concepts that make options\n",
"data different from—and complementary to—spot market data.\n",
"\n",
"### 1.1 What is an Option?\n",
"\n",
"An option is a **derivative contract** that gives the holder the right (but not\n",
"obligation) to buy or sell an underlying asset at a specified price (strike)\n",
"by a specified date (expiration).\n",
"\n",
"| Type | Right | Profitable When |\n",
"|------|-------|-----------------|\n",
"| **Call** | Buy at strike | Underlying rises above strike |\n",
"| **Put** | Sell at strike | Underlying falls below strike |\n",
"\n",
"### 1.2 Why Options Data Matters for ML\n",
"\n",
"Options prices embed **forward-looking information** that spot prices don't:\n",
"\n",
"1. **Implied Volatility (IV)** - Market's expectation of future volatility\n",
"2. **IV Skew** - Relative demand for downside vs upside protection\n",
"3. **Term Structure** - How expectations change across time horizons\n",
"4. **Greeks** - Sensitivities that quantify risk exposures\n",
"\n",
"This information can predict:\n",
"- Future realized volatility\n",
"- Underlying price movements (via order flow/positioning)\n",
"- Tail risk events (via skew)\n",
"\n",
"### 1.3 Moneyness: ITM, ATM, OTM\n",
"\n",
"Moneyness describes how an option's strike relates to the current spot price:\n",
"\n",
"| Moneyness | Call (Strike vs Spot) | Put (Strike vs Spot) | Characteristics |\n",
"|-----------|----------------------|---------------------|-----------------|\n",
"| **ITM** (In-the-money) | Strike < Spot | Strike > Spot | Has intrinsic value |\n",
"| **ATM** (At-the-money) | Strike ≈ Spot | Strike ≈ Spot | Highest time value |\n",
"| **OTM** (Out-of-the-money) | Strike > Spot | Strike < Spot | Pure time value |\n",
"\n",
"We typically express moneyness as: **Strike / Spot** (or its log)\n",
"- Moneyness = 1.0 → ATM\n",
"- Moneyness < 1.0 → ITM call / OTM put\n",
"- Moneyness > 1.0 → OTM call / ITM put\n",
"\n",
"### 1.4 Option Value Components\n",
"\n",
"An option's price decomposes into intrinsic value (immediate exercise payoff) and\n",
"time value (the remainder, reflecting optionality):\n",
"\n",
"$$\\text{Price} = \\text{Intrinsic} + \\text{Time}$$\n",
"\n",
"$$\\text{Intrinsic}_{\\text{call}} = \\max(0,\\; S - K), \\qquad \\text{Intrinsic}_{\\text{put}} = \\max(0,\\; K - S)$$\n",
"\n",
"$$\\text{Time} = \\text{Price} - \\text{Intrinsic}$$\n",
"\n",
"Time value reflects:\n",
"- Time remaining until expiration\n",
"- Expected volatility (IV)\n",
"- Interest rates and dividends"
]
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"## 2. Dataset Overview\n",
"\n",
"### 2.1 Data Schema\n",
"\n",
"| Field | Type | Description |\n",
"|-------|------|-------------|\n",
"| **Identifiers** | | |\n",
"| `timestamp` | Date | Trading date (observation date, EOD snapshot) |\n",
"| `symbol` | String | Underlying ticker (e.g., \"AAPL\", \"MSFT\") |\n",
"| `expiration` | Date | Option expiration date |\n",
"| `strike` | Float64 | Strike price in USD |\n",
"| `call_put` | String | \"C\" for call, \"P\" for put |\n",
"| **Prices** | | |\n",
"| `bid` | Float64 | Best bid price at close |\n",
"| `ask` | Float64 | Best ask price at close |\n",
"| `mid_price` | Float64 | Mid-market price: (bid + ask) / 2 |\n",
"| `underlying_price` | Float64 | Underlying stock close price |\n",
"| **Time** | | |\n",
"| `days_to_maturity` | Int32 | Calendar days until expiration |\n",
"| **Greeks** | | |\n",
"| `delta` | Float64 | ∂V/∂S - Price sensitivity to underlying |\n",
"| `gamma` | Float64 | ∂²V/∂S² - Delta sensitivity to underlying |\n",
"| `theta` | Float64 | ∂V/∂t - Time decay ($/day, typically negative) |\n",
"| `vega` | Float64 | ∂V/∂σ - Sensitivity to volatility |\n",
"| `rho` | Float64 | ∂V/∂r - Sensitivity to interest rates |\n",
"| **Volatility** | | |\n",
"| `implied_vol` | Float64 | Black-Scholes implied volatility |\n",
"| `iv_convergence` | String | IV solver status (quality indicator) |\n",
"\n",
"### 2.2 IV Convergence Codes\n",
"\n",
"The `iv_convergence` field indicates IV computation quality:\n",
"\n",
"| Code | Meaning | Use in Analysis |\n",
"|------|---------|-----------------|\n",
"| `Converged` | IV solver converged normally | [OK] Highest quality |\n",
"| `SmallBid_FlatExtrapol` | Small bid, IV extrapolated | WARNING: Use with caution |\n",
"| `IntrVal_FlatExtrapol` | Deep ITM, IV extrapolated | WARNING: Use with caution |\n",
"| `IntrVal_PutCallPair` | IV from put-call parity | [OK] Usually reliable |\n",
"| `Failed` | IV solver did not converge | [FAIL] Exclude from analysis |\n",
"\n",
"**Best practice**: Filter for `iv_convergence == \"Converged\"` for clean analysis."
]
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"text": [
"=== S&P 500 Options Dataset ===\n",
"Total rows: 5,158,876\n",
"Columns: 21\n",
"Date range: 2020-01-02 to 2020-12-31\n",
"Underlyings: ['AAPL', 'AMZN', 'BA', 'GOOGL', 'JPM', 'KO', 'MSFT', 'XOM']\n"
]
}
],
"source": [
"options = load_sp500_options_eda(\n",
" start_date=\"2020-01-01\",\n",
" end_date=\"2020-12-31\",\n",
" include_greeks=True,\n",
")\n",
"\n",
"print(\"=== S&P 500 Options Dataset ===\")\n",
"print(f\"Total rows: {len(options):,}\")\n",
"print(f\"Columns: {len(options.columns)}\")\n",
"print(f\"Date range: {options['timestamp'].min()} to {options['timestamp'].max()}\")\n",
"print(f\"Underlyings: {sorted(options['symbol'].unique().to_list())}\")"
]
},
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"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"=== S&P 500 Daily Prices ===\n",
"Total rows: 2,024\n",
"Symbols: 8\n",
"Date range: 2020-01-02 to 2020-12-31\n"
]
}
],
"source": [
"daily = load_sp500_daily_bars(\n",
" symbols=sorted(options[\"symbol\"].unique().to_list()),\n",
" start_date=DAILY_START_DATE,\n",
" end_date=\"2020-12-31\",\n",
")\n",
"\n",
"print(\"\\n=== S&P 500 Daily Prices ===\")\n",
"print(f\"Total rows: {len(daily):,}\")\n",
"print(f\"Symbols: {daily['symbol'].n_unique()}\")\n",
"print(f\"Date range: {daily['timestamp'].min()} to {daily['timestamp'].max()}\")"
]
},
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"name": "stdout",
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"text": [
"\n",
"=== Options Schema ===\n"
]
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"<small>shape: (3, 21)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>symbol</th><th>call_put</th><th>option_style</th><th>strike</th><th>expiration</th><th>years_to_maturity</th><th>days_to_maturity</th><th>underlying_price</th><th>bid</th><th>ask</th><th>mid_price</th><th>implied_vol</th><th>theo_price</th><th>delta</th><th>gamma</th><th>theta</th><th>vega</th><th>rho</th><th>iv_convergence</th><th>year</th><th>timestamp</th></tr><tr><td>str</td><td>str</td><td>str</td><td>f64</td><td>date</td><td>f64</td><td>i32</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>str</td><td>i64</td><td>date</td></tr></thead><tbody><tr><td>&quot;AAPL&quot;</td><td>&quot;C&quot;</td><td>&quot;A&quot;</td><td>200.0</td><td>2020-01-03</td><td>0.0027322</td><td>1</td><td>300.59</td><td>98.4</td><td>102.15</td><td>100.275</td><td>0.27617</td><td>100.59853</td><td>1.0</td><td>0.0</td><td>-0.00856</td><td>0.0</td><td>0.00546</td><td>&quot;IntrVal_FlatExtrapol&quot;</td><td>2020</td><td>2020-01-02</td></tr><tr><td>&quot;AAPL&quot;</td><td>&quot;C&quot;</td><td>&quot;A&quot;</td><td>205.0</td><td>2020-01-03</td><td>0.0027322</td><td>1</td><td>300.59</td><td>93.4</td><td>97.2</td><td>95.3</td><td>0.27617</td><td>95.59875</td><td>1.0</td><td>0.0</td><td>-0.00877</td><td>0.0</td><td>0.0056</td><td>&quot;IntrVal_FlatExtrapol&quot;</td><td>2020</td><td>2020-01-02</td></tr><tr><td>&quot;AAPL&quot;</td><td>&quot;C&quot;</td><td>&quot;A&quot;</td><td>210.0</td><td>2020-01-03</td><td>0.0027322</td><td>1</td><td>300.59</td><td>88.4</td><td>92.2</td><td>90.3</td><td>0.27617</td><td>90.59896</td><td>1.0</td><td>0.0</td><td>-0.00899</td><td>0.0</td><td>0.00574</td><td>&quot;IntrVal_FlatExtrapol&quot;</td><td>2020</td><td>2020-01-02</td></tr></tbody></table></div>"
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"shape: (3, 21)\n",
"┌────────┬──────────┬──────────────┬────────┬───┬─────────┬────────────────────┬──────┬────────────┐\n",
"│ symbol ┆ call_put ┆ option_style ┆ strike ┆ … ┆ rho ┆ iv_convergence ┆ year ┆ timestamp │\n",
"│ --- ┆ --- ┆ --- ┆ --- ┆ ┆ --- ┆ --- ┆ --- ┆ --- │\n",
"│ str ┆ str ┆ str ┆ f64 ┆ ┆ f64 ┆ str ┆ i64 ┆ date │\n",
"╞════════╪══════════╪══════════════╪════════╪═══╪═════════╪════════════════════╪══════╪════════════╡\n",
"│ AAPL ┆ C ┆ A ┆ 200.0 ┆ … ┆ 0.00546 ┆ IntrVal_FlatExtrap ┆ 2020 ┆ 2020-01-02 │\n",
"│ ┆ ┆ ┆ ┆ ┆ ┆ ol ┆ ┆ │\n",
"│ AAPL ┆ C ┆ A ┆ 205.0 ┆ … ┆ 0.0056 ┆ IntrVal_FlatExtrap ┆ 2020 ┆ 2020-01-02 │\n",
"│ ┆ ┆ ┆ ┆ ┆ ┆ ol ┆ ┆ │\n",
"│ AAPL ┆ C ┆ A ┆ 210.0 ┆ … ┆ 0.00574 ┆ IntrVal_FlatExtrap ┆ 2020 ┆ 2020-01-02 │\n",
"│ ┆ ┆ ┆ ┆ ┆ ┆ ol ┆ ┆ │\n",
"└────────┴──────────┴──────────────┴────────┴───┴─────────┴────────────────────┴──────┴────────────┘"
]
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"source": [
"# Quick schema preview\n",
"print(\"\\n=== Options Schema ===\")\n",
"options.head(3)"
]
},
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"cell_type": "markdown",
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"## 3. Option Chain Structure\n",
"\n",
"An **option chain** is the full set of options available for one underlying on one day.\n",
"It spans multiple dimensions:\n",
"- **Strikes**: Many price levels around the current spot\n",
"- **Expirations**: Multiple dates from days to years out\n",
"- **Types**: Calls and puts at each strike/expiration\n",
"\n",
"This creates a 3D grid: `(strike × expiration × call_put)`"
]
},
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"name": "stdout",
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"text": [
"=== Option Chain Density (per symbol per day) ===\n"
]
},
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"<small>shape: (9, 4)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>statistic</th><th>n_options</th><th>n_strikes</th><th>n_expirations</th></tr><tr><td>str</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>&quot;count&quot;</td><td>2024.0</td><td>2024.0</td><td>2024.0</td></tr><tr><td>&quot;null_count&quot;</td><td>0.0</td><td>0.0</td><td>0.0</td></tr><tr><td>&quot;mean&quot;</td><td>2548.851779</td><td>165.240613</td><td>16.118083</td></tr><tr><td>&quot;std&quot;</td><td>2072.356814</td><td>133.886019</td><td>2.276791</td></tr><tr><td>&quot;min&quot;</td><td>636.0</td><td>52.0</td><td>12.0</td></tr><tr><td>&quot;25%&quot;</td><td>1014.0</td><td>74.0</td><td>14.0</td></tr><tr><td>&quot;50%&quot;</td><td>1766.0</td><td>105.0</td><td>16.0</td></tr><tr><td>&quot;75%&quot;</td><td>3322.0</td><td>242.0</td><td>18.0</td></tr><tr><td>&quot;max&quot;</td><td>8692.0</td><td>572.0</td><td>22.0</td></tr></tbody></table></div>"
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"┌────────────┬─────────────┬────────────┬───────────────┐\n",
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"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Options per symbol per day - how dense are the chains?\n",
"options_per_symbol = options.group_by([\"timestamp\", \"symbol\"]).agg(\n",
" [\n",
" pl.len().alias(\"n_options\"),\n",
" (pl.col(\"call_put\") == \"C\").sum().alias(\"n_calls\"),\n",
" (pl.col(\"call_put\") == \"P\").sum().alias(\"n_puts\"),\n",
" pl.col(\"strike\").n_unique().alias(\"n_strikes\"),\n",
" pl.col(\"expiration\").n_unique().alias(\"n_expirations\"),\n",
" ]\n",
")\n",
"\n",
"print(\"=== Option Chain Density (per symbol per day) ===\")\n",
"options_per_symbol.select([\"n_options\", \"n_strikes\", \"n_expirations\"]).describe()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "ad37ca30",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:02.651395Z",
"iopub.status.busy": "2026-06-13T02:33:02.651309Z",
"iopub.status.idle": "2026-06-13T02:33:03.548713Z",
"shell.execute_reply": "2026-06-13T02:33:03.548360Z"
},
"papermill": {
"duration": 0.900543,
"end_time": "2026-06-13T02:33:03.549188+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:02.648645+00:00",
"status": "completed"
}
},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"bingroup": "x",
"hovertemplate": "Number of Options per Symbol/Day=%{x}<br>count=%{y}<extra></extra>",
"legendgroup": "",
"marker": {
"color": "#636efa",
"pattern": {
"shape": ""
}
},
"name": "",
"nbinsx": 50,
"orientation": "v",
"showlegend": false,
"type": "histogram",
"x": {
"bdata": 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"dtype": "u4"
},
"xaxis": "x",
"yaxis": "y"
}
],
"layout": {
"annotations": [
{
"showarrow": false,
"text": "Median",
"x": 1764.0,
"y": 0.95,
"yref": "paper"
}
],
"barmode": "relative",
"legend": {
"tracegroupgap": 0
},
"shapes": [
{
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},
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"x1": 1764.0,
"xref": "x",
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"yref": "y domain"
}
],
"showlegend": false,
"template": {
"data": {
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"error_y": {
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"marker": {
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"pattern": {
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},
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"barpolar": [
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},
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"carpet": [
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"linecolor": "white",
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"choropleth": [
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"ticks": ""
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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Visualize: Distribution of chain sizes\n",
"fig = px.histogram(\n",
" options_per_symbol.to_pandas(),\n",
" x=\"n_options\",\n",
" nbins=50,\n",
" title=\"Option Chain Size Distribution\",\n",
" labels={\"n_options\": \"Number of Options per Symbol/Day\", \"count\": \"Frequency\"},\n",
")\n",
"median_options = float(options_per_symbol[\"n_options\"].median())\n",
"fig.add_vline(x=median_options, line_dash=\"dash\", line_color=\"red\")\n",
"fig.add_annotation(x=median_options, y=0.95, yref=\"paper\", text=\"Median\", showarrow=False)\n",
"fig.update_layout(showlegend=False)\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "7a3d549b",
"metadata": {
"papermill": {
"duration": 0.003032,
"end_time": "2026-06-13T02:33:03.555419+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:03.552387+00:00",
"status": "completed"
}
},
"source": [
"### 3.1 Single Symbol Deep Dive: AAPL\n",
"\n",
"Let's examine one complete option chain to understand the structure."
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "0dae6c05",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:03.561935Z",
"iopub.status.busy": "2026-06-13T02:33:03.561829Z",
"iopub.status.idle": "2026-06-13T02:33:03.570188Z",
"shell.execute_reply": "2026-06-13T02:33:03.569850Z"
},
"papermill": {
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"end_time": "2026-06-13T02:33:03.570510+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:03.558359+00:00",
"status": "completed"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"=== AAPL Option Chain (2020-12-31) ===\n",
"Underlying price: $132.59\n",
"Total options: 2,194\n",
" Calls: 1,097\n",
" Puts: 1,097\n",
"Expirations: 18\n",
"Strikes: 163\n",
"Strike range: $18.75 - $250.00\n"
]
}
],
"source": [
"# AAPL on a specific date\n",
"sample_date = options[\"timestamp\"].max()\n",
"aapl_day = options.filter((pl.col(\"symbol\") == \"AAPL\") & (pl.col(\"timestamp\") == sample_date))\n",
"\n",
"spot = aapl_day[\"underlying_price\"][0]\n",
"\n",
"print(f\"=== AAPL Option Chain ({sample_date}) ===\")\n",
"print(f\"Underlying price: ${spot:.2f}\")\n",
"print(f\"Total options: {len(aapl_day):,}\")\n",
"print(f\" Calls: {aapl_day.filter(pl.col('call_put') == 'C').height:,}\")\n",
"print(f\" Puts: {aapl_day.filter(pl.col('call_put') == 'P').height:,}\")\n",
"print(f\"Expirations: {aapl_day['expiration'].n_unique()}\")\n",
"print(f\"Strikes: {aapl_day['strike'].n_unique()}\")\n",
"print(f\"Strike range: ${aapl_day['strike'].min():.2f} - ${aapl_day['strike'].max():.2f}\")"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "5feb6344",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:03.577259Z",
"iopub.status.busy": "2026-06-13T02:33:03.577169Z",
"iopub.status.idle": "2026-06-13T02:33:03.580159Z",
"shell.execute_reply": "2026-06-13T02:33:03.579904Z"
},
"papermill": {
"duration": 0.006728,
"end_time": "2026-06-13T02:33:03.580399+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:03.573671+00:00",
"status": "completed"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"=== AAPL Expirations ===\n"
]
},
{
"data": {
"text/html": [
"<div><style>\n",
".dataframe > thead > tr,\n",
".dataframe > tbody > tr {\n",
" text-align: right;\n",
" white-space: pre-wrap;\n",
"}\n",
"</style>\n",
"<small>shape: (10, 3)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>expiration</th><th>n_options</th><th>n_strikes</th></tr><tr><td>date</td><td>u32</td><td>u32</td></tr></thead><tbody><tr><td>2020-12-31</td><td>120</td><td>60</td></tr><tr><td>2021-01-08</td><td>134</td><td>67</td></tr><tr><td>2021-01-15</td><td>230</td><td>115</td></tr><tr><td>2021-01-22</td><td>124</td><td>62</td></tr><tr><td>2021-01-29</td><td>124</td><td>62</td></tr><tr><td>2021-02-05</td><td>104</td><td>52</td></tr><tr><td>2021-02-12</td><td>58</td><td>29</td></tr><tr><td>2021-02-19</td><td>84</td><td>42</td></tr><tr><td>2021-03-19</td><td>134</td><td>67</td></tr><tr><td>2021-04-16</td><td>138</td><td>69</td></tr></tbody></table></div>"
],
"text/plain": [
"shape: (10, 3)\n",
"┌────────────┬───────────┬───────────┐\n",
"│ expiration ┆ n_options ┆ n_strikes │\n",
"│ --- ┆ --- ┆ --- │\n",
"│ date ┆ u32 ┆ u32 │\n",
"╞════════════╪═══════════╪═══════════╡\n",
"│ 2020-12-31 ┆ 120 ┆ 60 │\n",
"│ 2021-01-08 ┆ 134 ┆ 67 │\n",
"│ 2021-01-15 ┆ 230 ┆ 115 │\n",
"│ 2021-01-22 ┆ 124 ┆ 62 │\n",
"│ 2021-01-29 ┆ 124 ┆ 62 │\n",
"│ 2021-02-05 ┆ 104 ┆ 52 │\n",
"│ 2021-02-12 ┆ 58 ┆ 29 │\n",
"│ 2021-02-19 ┆ 84 ┆ 42 │\n",
"│ 2021-03-19 ┆ 134 ┆ 67 │\n",
"│ 2021-04-16 ┆ 138 ┆ 69 │\n",
"└────────────┴───────────┴───────────┘"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Expiration breakdown\n",
"exp_breakdown = (\n",
" aapl_day.group_by(\"expiration\")\n",
" .agg([pl.len().alias(\"n_options\"), pl.col(\"strike\").n_unique().alias(\"n_strikes\")])\n",
" .sort(\"expiration\")\n",
")\n",
"print(\"\\n=== AAPL Expirations ===\")\n",
"exp_breakdown.head(10)"
]
},
{
"cell_type": "markdown",
"id": "5c1be747",
"metadata": {
"papermill": {
"duration": 0.003445,
"end_time": "2026-06-13T02:33:03.586965+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:03.583520+00:00",
"status": "completed"
}
},
"source": [
"### 3.2 Option Chain Heatmap\n",
"\n",
"Visualize the entire chain as a heatmap: strikes on y-axis, expirations on x-axis,\n",
"colored by implied volatility. This reveals the **volatility surface** structure."
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "83c34285",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:03.593701Z",
"iopub.status.busy": "2026-06-13T02:33:03.593599Z",
"iopub.status.idle": "2026-06-13T02:33:03.599310Z",
"shell.execute_reply": "2026-06-13T02:33:03.599025Z"
},
"papermill": {
"duration": 0.009763,
"end_time": "2026-06-13T02:33:03.599784+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:03.590021+00:00",
"status": "completed"
}
},
"outputs": [],
"source": [
"# Prepare data for heatmap - calls only, converged IV, reasonable moneyness\n",
"aapl_calls = (\n",
" aapl_day.filter(\n",
" (pl.col(\"call_put\") == \"C\")\n",
" & (pl.col(\"iv_convergence\") == \"Converged\")\n",
" & (pl.col(\"implied_vol\") > 0)\n",
" & (pl.col(\"implied_vol\") < 2.0) # Filter outliers\n",
" )\n",
" .with_columns((pl.col(\"strike\") / pl.col(\"underlying_price\")).alias(\"moneyness\"))\n",
" .filter(pl.col(\"moneyness\").is_between(0.7, 1.3)) # Focus on tradeable range\n",
")\n",
"\n",
"# Create pivot for heatmap\n",
"heatmap_data = (\n",
" aapl_calls.select([\"strike\", \"expiration\", \"implied_vol\"])\n",
" .sort([\"expiration\", \"strike\"])\n",
" .to_pandas()\n",
" .pivot(index=\"strike\", columns=\"expiration\", values=\"implied_vol\")\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "4ed7e187",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:03.606573Z",
"iopub.status.busy": "2026-06-13T02:33:03.606479Z",
"iopub.status.idle": "2026-06-13T02:33:03.664635Z",
"shell.execute_reply": "2026-06-13T02:33:03.664325Z"
},
"papermill": {
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"end_time": "2026-06-13T02:33:03.665103+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:03.603019+00:00",
"status": "completed"
}
},
"outputs": [
{
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XBl9AL169Qcun96d8OTOL+qITXhY4Xl6SLXN6ypLxI3Eez0DwOl9e7yvziEl4mXdQ0GsqWTQ3vZUiuVhew1/AvM6X1wQyE2bAt11fvgyiPYGTKdU7b4rmKsLLY4bvgLAY3L77QAg9r0ffuHhk1Jo6T4SXGbXuNVGcW61cEfHZ4c/WuZ9/FQ+TKLNA/OOkfpuh9PfDp1S+ZH4hTSxGvIyHv+Q8eWitTa9JdPbSdTq6ZRZx+5XjyA/nicVV+QGnZvw6Ci8LWtMuY8Qt6NSp3ha3X6/++jvtOXzabo33t7u/p+GTl4klOHWrRS6h4Nu+/KMjNsLLQr9260Hi27/840+ZycuQ9n3x2a7TajC1/epz6tq6blS/WbjLN+hBn2T4kOZP6BnjcOT1mnyHaM2cwZQr+8cxlo2N8PIP4oePnlLhfNmFfOTKllGsdR0zY5W4xig/fvnvfPeKxTBhwgTi/7g8L9natud7sYzHVsD4B3G7vpMpZYqkVLVcEbEmlv/G1xjlB4DyY4InCj4rkENIduCWA/Qq6DVtWTo6auxH12n+/HQdPFPcqeNroicH/9DkB9yaN6hMvTtE3vlj+WQJ3bJ0lMiJ7cF3HnndKy+BiOnoMWyOmGQ4tXOeKM85zlepjXiGYdqIr+1O/W7/D9Rn5DzxI4/XSKs9yjfoKaRajfAqs9Wu7hR4Uj8vB+FrAD+nwP3kWe/onk/gu5o7+FoSzRpepT6eAV+wehud2DZHjCUcIKAnAUsKr3IrZFiv5lS/euStjYoNe4kvoY2LRjj1ny+4/MV0YP1UIYf8BcYfMMcZ1uiEl2f/qjftTwVzZ4m6YGgR3tzlWgnxZlmP7lAeAOEZ3ZqVikUJL89K8i9u5UEC/jJgOeBf4Px3PmJa0uAoNuu2HqThU5Y7rSUcO3O1mGlShJvjsvB+9P67NHlYJ/EgBR88M1ahYS+qUqYwjR1gv77RsW/czh/O/Ezn9i72aE2YIrz8sMaIPi3F+ms+lC8tdw8w8G1DbhtfZHlGl4/ohJfXho0d0DbqFjoLdsP2I8SsxL51U/T8TDnFikl4mTd/+SnLXlhyW/WYIPhzHpSZIWVdKz+MybNhfCjCy8t+vqxdPmrGkmcK+f94RpuXUvDhTnh5PeDnzQYICVk+o3/UA088C1e71WCxtGDVrIEi1qhpK2nNlv3k+ACep2t4OcbmnUeJly7YtpH/3n/MQtpz+BQd3TJTzMKrGb+eLGlg6eA11fwjmndZUI7o1vDGRng5ZkxLGvjZBB53/ONFWQd67MeLYpZuyrBObteec9u/+nq0eFahWKGcYt0oz+6xsDs+2Bsb4eUfj+MHtnW6m8ZS9WmWDE6y5urDw3ccxsxYLXbM+OiDVEL2qjXpK9YXb1o0MuqHLJ/Ls708o87/V6lRL2pWvzL1bP/fbDSvna3apB+1aFDF7keCq3onzg0kXjJzeud8j65BHIPbye21vRay3K/etE/sQsFrfW0P3lnm7oOH4kHq6A5e1lbpy95UOG82sTaXj6fP/qXPanRyudZV+XzzBARPRKg91Aov56N+26HE63v3r5ui+i4XXz/5e44PvhsxaWgH8QMnusNT4eXlhc27jaPFU/qINck4QEBPApYU3inz19GydbvoyKYZURdGZZnA9hVjiWdKlINnw0rU7iJmHfgWGx88K1C8VuT6wElDOkSVVYSXZ1346dTg4FC6+tsfNGPRRnEB45lJnkHkI7bCq3zB8AwFC3d0h/L0tyIwMa1n5RmFePHi0dZlo0U4NcLLs9384A2ztH2Ij79EWBZtZziVW+y8hsr2qNF8oJiV4ZnUmA6+rXXj97/o5HdzPRqj0fWZZxCL1+xMHZvVpE4t/nv4jmeD1m49IGSFZ9F4NpEPFl6WLz5iWtLAt6htDxY3judO0HkmY/m63XbnJogfz+5hlJg67G5Jgy1vXu7Cctq4TgWxfl05eEyzlNnemlaE9/Cm6Xaiwz9SStftJj4Tg7pF7lbiTngVQePlJRVKFbDrDgs0P+V9du8iIdWcGxZyxx90aoRX+dzyDDav5eWDf8DwZ5kf3FE+t2rGryvh5QeHVqzfQz+eu0r3HjwUyyP4EMuI9i+O6qeRwqusYbb9wcCztvxj59CGaR5t88UPRM5ZvkXc5eC7HcrBP7R5SYwiH7ER3ui2CYxOeHlsrty4J/JBrTv36fm/L6OWiPCPJG4Lt/eLdsOivUtne11jyeQZZduDBZ+XRyif8+g+b31Hz6drv94WM7OeHHznqEO/KfR5hc/sftAPm7SM1m8/JH54vfVm5A9x5eC7BvyQ1vFts11WwXclWvecIK5T/J2iLMVQPpcNa5alwf+fvFACnDx7hVp2Hy8+8/zZV3vNUSu8yo9ix0kFlnze2s/24O9RXiZle/AP5APHztKTZy/EHbljP16gYb1aiIeFXR2eCq/yHT1+UDuqXr6oJylEGRDwmIAlhZdF7N23UtC4gZGzdnzwrXx+itNRgpSZIr5If5r1v9vovCD/0tWbUTNFHMNxWzIlNt8i5jWPttvCxFZ4OWae8jzDm0X8So3uUGZ4eda0RsX/ZnhdfdnwzA9fPJULrBrh5X4kTZKY1s4f6nTByluhNZUvWSBKLqIT3sadRomlBoFzh8Q4sPh2OG+1c37fkmiXctgGiE54+QuDGdrKHV+IedaFZ1t4nXG6j1KLWUeeneFb6gprNcKrXPTP7FnocrcApa2u1mTybXhl+Yu7T5sa4eVYn5ZpQfylqMgq/42/YPjvvLuFsjYxOuHl8nkrtqGShXNFyaQ74eVb5CxdMR3cX5ZSnqWybYdyjhrh5XP4zsyxU5fo2JaZ4valsqbQ9s6MmvHrKLz8Q69517GieXWrlaJsn6QVe8d+u+sYHfj+DF08sDSqu0YKL68z5W3XKpUqSPzFrvzb9ke7uzGl/D8LLcvX5V9u0enz12j3oVMUER5B6xcOFz9KZAsvt53vlPAPC95qsWCeLGIp2vXfbov18itnDhDLjZRlZ7PHdKPSn+Vx2T1+2Ji3r4ru4Nllx+uYY1n+gRT0OiTq4eOYOPL1h8WUn5Pg7e/4joJyKDO8jj8m+f9jmuHlOyK9R84Tdyn4R5tyh4XPU2Z4eS2346SC4wyv2muOGuFVrqWutu/ku0v8w8v24KVz/EBfTEfH/lPFVmV8l9Vx3Taf56nw8o83/h5SdvLx9HOAciDgCQHLCS+vF2TBiu5QHiZR/p9vo/Nt/+gOW4FUhJcvuCyZvEaRZTdbpnROt7+0CK8na3h5f2HeZ1hZ7xrTDC9fhPgJVl4TzIda4eWnf/l2ne3BAsXCy7N5zIiP6ISXZ1f4FpY74eUn73n2ir+U+MvJ3RFdn5XbZYrw8r95VjFdmvdo6bTI9XPKwesheSlEbIR3+qKNtGDVNnInvO764e7/1QovP0TVoIa98HIdHMcT4eXblZE/ZvJHPRTmTnh5TTjvdMJ3SXL/f2slx37lzJpRPFzID4XarndUyqkVXkWCeFaZ9+XlNYy8dZ3t2nv+HHo6fh2Fl7+ET527JpZB8ZZMysHLeXgvUbOEl9vB6zsPnzhHLFTb9h4Xy0RcrRd1N7Yc/1952Kplw6piWYAivMq/bcvH9NCaqxfBuJrhXbZ2F/EyAselKfuPnqEug2c4CW9M60V5HfW6bYeErLraloqF1HE9rWP/WXj5zl1My8n4HF6vzjO7vGRo/sReYimP7aE8HOx4R5HLVGnM16CETsvr+Ic671O898gpGtW3tViqZnuINbwV7ScZlP9XJkBmju4aq/14PRVe5buDpXtIj2ax2hbT1Zjkh/P4GY6lU/tRobzOa6c9FV7+Qc0/1pWZbrXjH+VBICYClhNe/mXN6/Z4vSU/uGR78DKArXu+Fw8L8NID5Wlv/hVdvoT9bViiCLEekLcmU572jumhNUdIWoSXl2TwVmrR7dLAt+J5mQJL5761U4RsRyd/ysMs/EAIP5THh+P6ONu2O4qNmB2+eoOObp5pJ/W8P2ylRr09WtLgqfDy7UH+wuF1yMqaWleDj3/F848NT4WXH5orW787dWha02l/YQjvBiFNtms3lS39bHm5E94Ll38jXpLCD+2wzEZ38I+PApXbuXzwRq3w8vKNErW+Fg9HsTCVqNVZzBLa7q6iZvw6Cm+Vxn3EbKPyuYlJeD/7vJN4cNBx3MZ2DS/vMFC75aBo9xJW1uzymk3eAYGvde5+UCrtVz4/rnLEb0Bj+eFnH/gZCJ5xzF2+ldMdAz5XD+FVtki7sH+J3fXFUXiV8cUSzvLt6uAdKnjpmqcPvbqKwfu98ox3TA+U8dKL7kNniZdn8IyzqxcvKO233e2F61N2geBdGmxfnMJjuduQmeIO18QhHcQOMK4Ovl69fPXa6W2AyjMVvMuB7Y8zT/XFE+FVtkSz3X7N0/juyikTODyGlb3sbc/xVHiV72je+o4fnMUBAnoSsJTwstyVqddNyKyy0N+2s8o+fcoHVlkLZ/uwgW15XgLBL3pQ9vM0SniVfXj5CXy+VWa7nQ7/gh04fpHYZcH2ZRrRyR/vt8lfKrZl+YlYniGaN74nlSic0248OIoN3yLkW4UjereMegKdT1BuH9peoLTO8LLAf9lpFPGXm6tbUiz6vMUcv+aTtzPyVHj5Cz5/5bbi6WVlvSf3gX8A8e1DflocM7yRbyHkHPQfu1Bshr95yaiohw/dCS+LbOVGvcVWZDwjyqKoHBzzxE8/R+1rzXcc+CFA3lqJf4jxwTO/nIsTp3/2aJcGJTbPKu89fFosKeJx7rh/tprx6yi8vDUYr4W03Y+VXzTTddAMsb2d7QwvP6WfJEkiJ+mMrfDyllEs8K62A+O+Kz9kAwICxAsN1Ow9ynfAOG6ZYnmdZuiUZx1sZ1z5zXZJ34h84FdZx88v6ukzcj7l/TSTy23JPJ3h5e2meDbUdqzxW+AGjV9ELI3KkgYeXxUa9BQ7ZWxcNNLutrfy0NrTZy/Eg5OF82WjeeN62K1l5msHb2mm7MYS3Zcg737DEyY/7pjnssiG7YdpxNTl4iUjLKzRveCA1yXzshPeDtJ21wxlPNpuV8YTLx35tda37xLP0PKDatEdyvZjtjtscN+434kTJnDarszTL/uYhJfZD5+8XOymENMPDk/q4skW3mFDecCYz+EH3+q1jryDeHDjNJdvW/NUePHQmidZQJnYErCU8PJ2SvzigpiezufdFHgbp71rJ4sth3gLHH7IwdWh3DJV3tikVnj5oud4W4rr4dkYd1tZ8fZKLNz8Njd+gI0ftHv2/F+xXyXPwvDifu6nsheoIn+8BRVfjN97J6XYl5XX5PHyAH74Q3lnPT/8ULFRbzGrx7em+A1uvAE9X5ydtiULCRVPdPMaP96nmN+Ow7fzWBYd34yjVXiZDeejTa+J4sEHXkNYNH8OSpQogXjl5rFTF8U6NncP6jkuaeC4fMHk3Tf4gaaP038gnoL/8ewV8TBfvk8/saTwunvTWnS81S5p4GU+vGUY/8DiLwyWUcc1tu6ElxnzOsJO/aeKLaaqlS8qduzgzwzLEQsaP3HPBz9gw9LLa/V4iyXOF48n/mHCt9A92ZZM+bwqb0jkHVh4b2bHNyRyTE/Hr6PwKuv7+dW+LCEPHj4RexUH+PuJdtoKr/KkPn8ulbcishzEVni5fzybd/P2PfGSFRYr5fOq9F1ZUsN541l6/iHoycF3O/iuBz8dz3LI69qfv3hFp89fFc868ENGvPOHcm1R6uHt0Xgygd+CeOHyDSG/fM1wtQ+vp8LLn3Oeyea10RVLFaDQ0DDBmLc25FlPRXi5X7z7Cs+spno7pZCm5MmSiHXHPNutbEum3CXgnR14Sc47KVPQjT/+EjH5lckx7e/NdSgzs66WVfHWeTzrz7L2ZZ3y5O/wyl8+n7elU37sKcsaeDtGfrPYX/cf0qbvDotXpH8z57+3k/GsMv/A5Dc7Zs74kVMKeTtJ3muYD/4hxLz4zXh1q5aiZEkTiwMzOngAACAASURBVGs8X8/ULmfgddNXfvlDxOWXYfCe6bzdHR+8JZvysB2LLj/TwltFMkPHg79XXG336Wos8pvq/nn0hIoVzCk+J/xdxFsmcq55PbrtrCw/mHr89M8iDO/qwtthKi8tyZT+A7sXMil18XMVvNSP95hW88pjTz43KAMClhJe/lB+u/uYuP3uauE7p0uZUZg6ojN1HzLT6dWNtinlW0fFa35NeXN+ImZa1Qqvsmm24zDhrYRsvyyjG0Z8QeKlDSwS/zx8Ivbg5C8cfgOZ7cMMfL4ivHxh5PN+u/WXKM/leL9OFgLbgy/s0xdtEG+34Qsbb2/G27i4evEEX3hmLtksHqSIfPHE22J/UL61aLtzgx7Cy23kLzuxpc+Rn8Srm0NCQsSXfcE82ahm5WJR2814OsOrxOTXKfNsYHhEhNiKiR9gHDZ5mWXX8CpvMrLNm+2T+XoJLz/VffTkefFjgyWoYa2y4nOhCA/X74nwcjmWIX4YjsWZxw2/VYm/KHkPZ9u3evGXHO9uwhLB4+mruhXp0ZNnYrZPjfCy0PKaYJ4VtN1VwpaZp+PX1S4NvNvLqg176PHTF5QpfRrxwgle4uO4hpfrHz1tpdhLODgkhIoW+FQsSdIivHxrfeS0FWIP7ATx41PLRlXFi1KU47dbfxLvgMI/qh1faRzTVxP/YOY1n7xe99Yfd+nFy1eUKGFC8QOT75w4vlKb5Z6XWfGDif++fCU+h11a1RF7l0f34glPhZfbyc9QTJwTSLfu3Bfjr0alz8RrjXlNtq3wclneaWX+yq0iB/ziHV5Dy+u3+c1wymwrjy2+fvCMLgs0t7Fg3myiDG+/FtPBeSxWo5O4tvFuFbYHX4t4f/eYDltR5jsb3A6WtT/v/k3Jk70hZtV7tP3C7vtJ2Rc5urj8Y5T3sVYOvr7zTDQ/5KW83KXdVzWc3oTmTk8c37RmW952La0yKx1dPDUP4PKY47cg8pIdHof8/cFr+3m3H8edHBzftGZbv+PD58r/8TIb/kGibIHojgH+HwTUELCU8KppuLeV9ZXX7Hpb3szsT0y7NJjZLtTtGQHllbbKC3M8Owul3BHgh+UuX/9dvPWL7xrgiBsElAfWbfffjxstRyvjCgEIr0UyBeG1SCLiUDMgvHEoWS6ayks1eP0n387HoR8B5QE5bG2lH1MjIvHadH6Ymt+wGd3aaiPagTq8lwCE1yK5hfBaJBFxqBkQ3jiULIemKg/g8m1322UOcbdH1mo5LzPgBy23Lhvj9PY5a7UUrWECyttR3b1dE7RAQAsBCK8WejqeC+HVEaaPhILwxt1EK2/54436bXfEiLs9slbLedcQ3nmDH6xaNLlPjC+WsVbLfa81vE6eXxBTIHdWl7sz+R4R9FgWAQivLLKICwIgAAIgAAIgAAIgYAkCEF5LpAGNAAEQAAEQAAEQAAEQkEUAwiuLLOKCAAiAAAiAAAiAAAhYggCE1xJpQCNAAARAAARAAARAAARkEYDwyiKLuCAAAiAAAiAAAiAAApYgAOG1RBrQCBAAARAAARAAARAAAVkEILyyyCIuCIAACIAACIAACICAJQhAeC2RBjQCBEAABEAABEAABEBAFgEIryyyiAsCIAACIAACIAACIGAJAhBeS6QBjQABEAABEAABEAABEJBFAMIriyziggAIgAAIgAAIgAAIWIIAhNcSaUAjQAAEQAAEQAAEQAAEZBGA8Moii7ggAAIgAAIgAAIgAAKWIADhtUQa0AgQAAEQAAEQAAEQAAFZBCC8ssgiLgiAAAiAAAiAAAiAgCUIQHgtkQY0AgRAAARAAARAAARAQBYBCK8ssogLAiAAAiAAAiAAAiBgCQIQXkukAY0AARAAARAAARAAARCQRQDCK4ss4oIACIAACIAACIAACFiCAITXEmlAI0AABEAABEAABEAABGQRgPDKIou4IAACIAACIAACIAACliAA4bVEGtAIEAABEAABEAABEAABWQQgvLLIIi4IgAAIgAAIgAAIgIAlCEB4LZEGNAIEQAAEQAAEQAAEQEAWAQivLLKICwIgAAIgAAIgAAIgYAkCEF5LpAGNAAEQAAEQAAEQAAEQkEUAwiuLLOKCAAiAAAiAAAiAAAhYggCE1xJpQCNAAARAAARAAARAAARkEYDwyiKLuCAAAiAAAiAAAiAAApYgAOG1RBrQCBAAARAAARAAARAAAVkEILyyyCIuCIAACIAACIAACICAJQhAeC2RBjQCBEAABEAABEAABEBAFgEIryyyiAsCIAACIAACIAACIGAJAhBeS6QBjQABEAABEAABEAABEJBFAMIriyziggAIgAAIgAAIgAAIWIIAhNcSaUAjQAAEQAAEQAAEQAAEZBGA8Moii7ggAAIgAAIgAAIgAAKWIADhtUQa0AgQAAEQAAEQAAEQAAFZBCC8ssgiLgiAAAiAAAiAAAiAgCUIQHgtkQY0AgRAAARAAARAAARAQBYBCK8ssogLAiAAAiAAAiAAAiBgCQIQXkukAY0AARAAARAAARAAARCQRQDCK4ss4oIACIAACIAACIAACFiCAITXEmlAI0AABEAABEAABEAABGQRgPDKIou4IAACIAACIAACIAACliAA4bVEGtAIEAABEAABEAABEAABWQQgvBrJ/vXwlV2EMrPnOUWM/8LhT37Olcb/1/5v3w1v71Sodrc5Hrc2yb1gj8vGVDDe89e6xFETJOBliJrimsv6hYZrjqE6QJgJdapupI4nBAToGAyh7AiE+9hY0pp+PxcXYK0x4/j5Ef7ezyQ8YTxLZWnPmRGWao8vNAbCqzHLEF6NAF2cDuHVn6npESG88lIA4VXHFsLrxAvCq24I6VEawqsHRXUxILzqeDmVhvBqBAjh1R+gFSNCeOVlBcKrji2EF8KrbsRIKQ3hlYI1xqAQXo3MIbwaAUJ49QdoxYgQXnlZgfCqYwvhhfCqGzFSSkN4pWCF8MrECuHVny6WNOjP1PSIEF55KYDwqmML4YXwqhsxUkpDeKVghfDKxArh1Z8uhFd/pqZHhPDKSwGEVx1bCC+EV92IkVIawisFK4RXJlYIr/50Ibz6MzU9IoRXXgogvOrYQnghvOpGjJTSEF4pWCG8MrFCePWnC+HVn6npESG88lIA4VXHFsIL4VU3YqSUhvBKwQrhZQIhoWE0etpKihcvgAZ1axIFZcf+k9R75FwnSDUrFaMx/dtQeHgETZobSJt3HqWQ0FAqVyI/De/VghIlTCDOgfDqP2ghvPozNT0ihFdeCiC86thCeCG86kaMlNIQXilYIbwHvj9LY2asosdPnlPtKiXshJdF+FWQ/csVRk5dTh++n4q6tq5Lgd8eoOXrdtHssd0pSeKE1HvEXMqdIxP1at8AwitpvEJ4JYE1MyyEVx59CK86thBeCK+6ESOlNIRXClYIr0Jg4pxAeh0cYie8jnRu3b5HDTuMoB2rxtNbbyajZl3HUrni+ahp/Uqi6OET52nElOW0f/0UCK+k8QrhlQTWzLAQXnn0Ibzq2EJ4IbzqRoyU0hBeKVghvGqEt/vQWZT+o/fF7C4fpep0pZF9WlLJIrnFv3+/c5+qftWXTu9aQIkTJcCSBgljFsIrAarZISG88jIA4VXHFsIL4VU3YqSUhvBKwQrh9VR4f752i1r3nEC7AydR8qRJxGmFqranmaO7UuG82cS/7//9mMrW705Ht8wUM8APnwfbAf5s6mwn4PFfOPzJxWvL4/9rX2bf2E5Ocap2nOnxCElyz75dHp/oUDDec/vlHrGNo+Y8CK8aWnGkLIRXXqIgvOrYQnghvOpGjJTSEF4pWCG8ngpv614TqWDurNSuyedR0HiGd3S/1lS8UE7xN8cZ3tfBYXaAc42boYvw/jCli1Ockq2meTxCILweoyK/0HDPC+tVMsyEOvVqe2ziQHhjQ82zcyC8nnFSSkF4IbzqRoyU0hBeKVghvJ4I749nr1KPYbNpT+BESpI4URS0pl3GUIWSBahJvYribwePn6Xhk5fToY2R8oldGvQftJjh1Z+p6REhvPJSAOFVxxbCC+FVN2KklJYhvGNnrqZVG/dGtZcfri9bPJ9YhjlrTFcq81lep77wMs6g1yE0d1x3Kf20UlC/iIiICCs1SGZbYnpojR9Uq1ymEDX/orJdE1Zv2kurNu4Tg4FFuOfwOZQ9czrq37kxhFdSsiC8ksCaGRbCK48+hFcdWwgvhFfdiJFSWobwhoSE0qnzV6lNr0m0ddloSvthaoofL4AadxpF772bkqYMs18q+ezFSypZuwuNH9iWKpUuJKWfVgrqE8LLe+2Omr6CgoKCie2eHzYb2qM5VSpdUORi/9EzNHLaCtq9ZiIlTBDfLj9hYeE0fvYa2rrnewoNDaUyxfKKfXiVWWDM8Oo/nCG8+jM1PSKEV14KILzq2EJ4IbzqRoyU0jKElxt65uJ1atJ5DO0JnERpUr8j2r5u2yHi2d8jm6ZTsv8/n8R/X7/9EE2et078PYGD+0jptMlBfUJ4ZTKG8OpPF8KrP1PTI0J45aUAwquOLYQXwqtuxEgpbaTwPueZ3DpdaWCXr6he9VJR/WExzpQhDQ3t0UxKH60WFMKrMSMQXo0AXZwO4dWfqekRIbzyUgDhVccWwgvhVTdipJQ2Uni5A7wc8++HT2jFjAGiP3fu/k2VGvWmb+YMptzZP5bSR6sFhfBqzAiEVyNACK/+AK0YEcIrLysQXnVsIbwQXnUjRkppo4X36MkL1L7vFNobOIk+SP0OzV3xLW3dfZx2rh4vpX9WDArh1ZgVCK9GgBBe/QFaMSKEV15WILzq2EJ4IbzqRoyU0kYLLz+PxO8QaFynPLX96nOxc0PNSsXttmGV0lELBYXwakwGhFcjQAiv/gCtGBHCKy8rEF51bCG8EF51I0ZKaaOFlzsxad5aOnT8HI3p15oadRxJ+9ZOpvffe1tK/6wYFMKrMSsQXo0AIbz6A7RiRAivvKxAeNWxhfBCeNWNGCmlZQhv0OtgOnXuGrXvO5k2LR5JGT5Kbbf7wq83/6SaLQZSnhyZxI5US6b2ldI3qwaF8GrMDIRXI0AIr/4ArRgRwisvKxBedWwhvBBedSNGSmkZwuvqxRMtGlaxa3/9tsPo8vVb4g2ytSoXl9I3qwaF8GrMDIRXI0AIr/4ArRgRwisvKxBedWwhvBBedSNGSmkZwiuloV4UFMKrMZkQXo0AIbz6A7RiRAivvKxAeNWxhfBCeNWNGCmlIbxSsMYYFMKrkbmj8FYcP88pYoLn9n+K8HeuNCDI/g3PWyd0cCrUoNUsj1sb//Frj8vGVDDei2Bd4lg5iH9wmOHN8wvzmTd6R7INDTWcsc9UiB8TPpNqWR2N8PeTFdoyccMT279F1eyG7Tk93Owm+Fz9EF6NKYfwagRogdMhvAYkAcIrDzKEVx5bH4kM4TU+0RBe45lDeDUyh/BqBGiB0yG8BiQBwisPMoRXHlsfiQzhNT7REF7jmUN4NTKH8GoEaIHTIbwGJAHCKw8yhFceWx+JDOE1PtEQXuOZQ3g1MofwagRogdMhvAYkAcIrDzKEVx5bH4kM4TU+0RBe45lDeDUyh/BqBGiB0yG8BiQBwisPMoRXHlsfiQzhNT7REF7jmUN4NTKH8GoEaIHTIbwGJAHCKw8yhFceWx+JDOE1PtEyhDfsbmbjO0JEAe9fN6VetZVCeNUScygP4dUI0AKnQ3gNSAKEVx5kCK88tj4SGcJrfKJlCG+IScIbH8Jr/AAyo0YIrxnU9a0TwqsvT5fRILzyIEN45bH1kcgQXuMTLUN4X5skvAkdhPfx0+c0ePwSOn76EiV9IzE1qVeR2jSuHi3kW7fv0ejpq+j6jdsUEOBPZYvloz4dG1KCBPrunYwZXo3jHMKrEaAFTofwGpAECK88yBBeeWx9JDKE1/hEyxDeVyYJb2IH4e0xbA6FhYXR4O5N6e6DR9Sh7xQa0781lSyS2yXoGs0HUp2qJaj5F5Xp+YuX1LH/VCpa4FPq2KymromB8GrECeHVCNACp0N4DUgChFceZAivPLY+EhnCa3yiZQjvS5OEN4mN8AYHh1Chah0ocO4QypoprQA7cW4gPXz8jMYNaOsEOiwsnPJUaEWLJ/elQnmzRpafE0hPnr2g0f1a65oYCK9GnBBejQAtcDqE14AkQHjlQYbwymPrI5EhvMYnWobwvvjLnIfWkn7w30NrN/+4S9Wb9qfTuxZQ4kQJBNj12w/Rxu2HKXDeUJegJ81bS1t2HqPOLWtT7hyZqPeIuTRxSIcoYdYrOxBejSQhvBoBWuB0CK8BSYDwyoMM4ZXH1kciQ3iNT7QM4X1mkvAmtxHeK7/8TvXaDKVLB5eSn5+fALt97wlasGobbV0+xiXony5cpzEzVtEnGT+kfUdOU7GCOWnsgDaUJHEiXRMD4dWIE8KrEaAFTofwGpAECK88yBBeeWx9JDKE1/hEyxDep39lMb4jRJTig2tR9SozvGf3LIx66IxneDdsO0xr5zvP8D55+oIqNupFGxaOoLRpUtHTZ/9SzxFzKGmSxDRtxNe69gfCqxEnhFcjQAucDuE1IAkQXnmQIbzy2PpIZAiv8YmWIbyPTRLelDbCK9bwVm0vli8oa3gnzF5D/zx6ShMGt3cCfebidWrXZzKd2jk/6v94RnjG4o20J3CSromB8GrECeHVCNACp0N4DUgChFceZAivPLY+EhnCa3yiZQjvwz/NmeF9O81/M7xMsuvgmeTv70eDujWlB/88pra9J9Gwni2oXIl8FB4eQW16TaTmDSpTicK5xK4MlRr1prZNPqdm9SvRq6DX1GvEXEqd6m0a0r2promB8GrECeHVCNACp0N4DUgChFceZAivPLY+EhnCa3yiZQjv3yYJ77sOwsuzuYMnLKEfzlymNxInosZ1y1OHppFbjIWGhVHucq1oeK8WVK96KfG3i1du0IQ5gXTr9l1KmCA+lS9ZgLq1qUeJEkY+9KbXAeHVSBLCqxGgBU6H8BqQBAivPMgQXnlsfSQyhNf4RMsQ3gcmCW8qB+E1nqZnNUJ4PeMUbSkIr0aAFjgdwmtAEiC88iBDeOWx9ZHIEF7jEy1DeO+ZJLypIbzGDyAzaoTwmkFd3zohvPrydBkNwisPMoRXHlsfiQzhNT7RMoT3L5OE9wMIr/EDyIwaIbxmUNe3TgivvjwhvAbwtK0CwmswcO+rDsJrfE5lCO+fdyLfVGb0kebDq0ZXGav6sKQhVtj+OwnCqxGgBU6H8BqQBMzwyoMM4ZXH1kciQ3iNT7QM4b1tkvB+BOE1fgCZUSOE1wzq+tYJ4dWXJ2Z4DeCJGV6DIXt3dRBe4/MrQ3h/N0l400F4jR9AZtQI4TWDur51Qnj15QnhNYAnhNdgyN5dHYTX+PzKEN6bJglvBgiv8QPIjBohvGZQ17dOCK++PCG8BvCE8BoM2burg/Aan18ZwnvDJOHNCOE1fgCZUSOE1wzq+tYJ4dWXJ4TXAJ4QXoMhe3d1EF7j8ytDeH+9bc5Da5k+wkNrxo8gE2qE8JoAXecqIbw6A3UVDg+tyYOMh9bksfWRyBBe4xMtQ3ivmyS8mSG8xg8gM2rMPmiqXbVJ7kc4NSPB03C7v4Uk9XcqE++VfZmNszo5lWnUZKbHXYz/JMjjsjEVDHgZrEscNUH8wpwZqjlfbVkzLvb+r0PVNjNOl4+IHxCn22/lxvuF2V87rNxWK7QtIp7z9dcK7TK1DT4whCLiWyvvu8+O1D3l125n0z2mJwGzfHTFk2Kml8G2ZBpTAOHVCNDF6RBe/ZmaHRHCKy8DEF51bCG8LnhBeNUNIh1KyxDeKyYJbzYIrw4jIg6EgPDqnyQIr/5MzY4I4ZWXAQivOrYQXgivuhEjp7QM4f35D3NmeHOkxQyvnFFisagQXv0TAuHVn6nZESG88jIA4VXHFsIL4VU3YuSUliG8F00S3pwQXjmDxGpRIbz6ZwTCqz9TsyNCeOVlAMKrji2EF8KrbsTIKS1DeC+YJLy5ILxyBonVokJ49c8IhFd/pmZHhPDKywCEVx1bCC+EV92IkVNahvCeM0l480B45QwSq0WF8OqfEQiv/kzNjgjhlZcBCK86thBeCK+6ESOntAzhPWOS8OaD8MoZJFaLCuHVPyMQXv2Zmh0RwisvAxBedWwhvBBedSNGTmkZwvvT79nlNNZN1PzpLptSr9pKfWZbspDQMBo9bSXFixdAg7o1ceL07e7vaeWGPfTb739R2jSp6Nulo0WZ8PAImjQ3kDbvPEohoaFUrkR+Gt6rBSVKmED8P4RX7ZBzXx7C655RXCsB4ZWXMQivOrYQXgivuhEjp7QM4T1lkvAWhPDKGSSxiXrg+7M0ZsYqevzkOdWuUsJJeJet20Xrth6k/p0bU/bM6enlqyD66INUoqrAbw/Q8nW7aPbY7pQkcULqPWIu5c6RiXq1bwDhjU0yPDgHwusBpDhWBMIrL2EQXnVsIbwQXnUjRk5pGcJ70iThLQzhlTNItESdOCeQXgeH2Anvi39fUZl63Wj9guGU/qPUTuGbdR1L5Yrno6b1K4n/O3ziPI2Yspz2r58C4dWSjBjOhfBKAmtiWAivPPgQXnVsIbwQXnUjRk5pGcJ7wiThLQrhlTNItER1Jbw8+ztkwhLKlT0jnT5/jeLHj0cNa5alzi3riKpK1elKI/u0pJJFcot//37nPlX9qi+d3rWAEidKgCUNWhISzbkQXglQTQ4J4ZWXAAivOrYQXgivuhEjp7QM4T1ukvB+BuGVM0i0RHUlvKs37aWVG/bSpKEd6JMMH9Jvt/6kDv2mUodmNYX4FqranmaO7kqF80a+weT+34+pbP3udHTLTHrrzWTShHfnwq5OXa35xVSPux//SZDHZWMqGPAyWJc4aoJAeNXQihtlIbzy8gThVccWwgvhVTdi5JSWIbzHbpnz0Frx9HhoTc4o0RDVtfDuo92HfqQVMwZERZ66YD39eutPmj2mm5jhHd2vNRUvlNPQGd79y7o59bRK7chlFJ4cEF5PKEWWifD387ywTiX9X4fqFCluhIHwyssThFcdWwgvhFfdiJFTWobwHjFJeEtCeOUMEi1RXQnv0ZMXaOC4RbR//VSKHy9AhJ84N5CePH0hRLdplzFUoWQBalKvovi/g8fP0vDJy+nQxmni39ilQUtGXJ+LGV79mZodEcIrLwMQXnVsIbwQXnUjRk5pGcJ7+FYOOY11E7VU+p9NqVdtpT6zLZkQWRcPrYWEhFLVJv2ofIn81KVVXbp1+y616zOZxg9sR0UL5CBe8rBq4z6aO453aUhEPYfPoeyZ04kdHSC8aoebZ+UhvJ5xikulILzysgXhVccWwgvhVTdi5JSWIbwHTRLeMhBeOYMkNlF37D9Jo6avoKCgYIogEg+bDe3RnCqVLijC8YNowycvo4tXb9C7b79JHZrWpM8rfib+LywsnMbPXkNb93xPoaGhVKZYXrEPL8svhDc22XB/DoTXPaO4VgLCKy9jEF51bCG8EF51I0ZOaRnCu/+mOTO85TJghlfOKLFYVCxp0D8hEF79mZodEcIrLwMQXnVsIbwQXnUjRk5pGcK71yThrQDhlTNIrBYVwqt/RiC8+jM1OyKEV14GILzq2EJ4IbzqRoyc0jKEd49JwlsRwitnkFgtKoRX/4xAePVnanZECK+8DEB41bGF8EJ41Y0YOaVlCO8uk4S3MoRXziCxWlQIr/4ZgfDqz9TsiBBeeRmA8KpjC+GF8KobMXJKyxDeHSYJb1UIr5xBYrWoEF79MwLh1Z+p2REhvPIyAOFVxxbCC+FVN2LklJYhvN/d+FROY91ErZbxkin1qq3Up7YlUwvHk/IQXk8oqSsD4VXHKy6UhvDKyxKEVx1bCC+EV92IkVNahvBuuxH5giyjj88zXjS6yljVB+GNFbb/ToLwagTo4nQIr/5MzY4I4ZWXAQivOrYQXgivuhEjp7QM4f32Ri45jXUTtWbGC6bUq7ZSCK9aYg7lIbwaAUJ49QdowYgQXnlJgfCqYwvhhfCqGzFySssQ3i2/5ZbTWDdRa3183pR61VYK4VVLDMKrkZj70zHD655RXCsB4ZWXMQivOrYQXgivuhEjp7QM4d30Wx45jXUTtc7H50ypV22lEF61xBzKF2o+xe4vCZ6GOUWM9yrc7m/ByQKcyviH8Dvg/jvWLf7aqUzjL6Z53Np4z4I8LhtTwYCgUF3iWDqIPXpDmupzkhLqA+PIkJHjopL48c2qGfV6CQFf+BEQ4W+tZO0+N0r3Bm34Na/uMT0JWC/TWU+KmV4GwqsxBRBejQCtcDqEV34WILzyGEN45bH1kcgQXuMTLUN41/+az/iOEFH9TGdMqVdtpRBetcQcykN4NQK0wukQXvlZgPDKYwzhlcfWRyJDeI1PtAzhXftrAeM7QkQNMp02pV61lUJ41RKD8GokZsHTIbzykwLhlccYwiuPrY9EhvAan2gZwrvml4LGd4SIGn1yypR61VYK4VVLDMKrkZgFT4fwyk8KhFceYwivPLY+EhnCa3yiZQjv6l8KGd8RImr8yY+m1Ku2UgivWmIQXo3ELHg6hFd+UiC88hhDeOWx9ZHIEF7jEy1DeFf9Utj4jhDRV5+cNKVetZVCeNUSg/BqJGbB0yG88pMC4ZXHGMIrj62PRIbwGp9oGcK74noR4ztCRE0z/2BKvWorhfCqJQbh1UjMgqdDeOUnBcIrjzGEVx5bH4kM4TU+0TKEd9n1osZ3hIiaZz5hSr1qK4XwqiUG4dVIzIKnQ3jlJwXCK48xhFceWx+JDOE1PtEyhHfptc+M7wgRtchy3JR61VYK4VVLDMKrkZgFT4fwyk8KhFceYwivPLY+EhnCa3yiZQjv4mvFjO8IEbXK8r0p9aqtFMKrlhiEVyMxC54O4ZWfFAivPMYQXnlsfSQyhNf4RMsQ3oXXihvfESJqk+WYKfWqrRTCzsPhsgAAIABJREFUq5YYhFcjMQueDuGVnxQIrzzGEF55bH0kMoTX+ETLEN4FV0sY3xEiapv1qCn1qq0UwquWGIRXIzELng7hlZ8UCK88xhBeeWx9JDKE1/hEyxDeeVdLGt8RImqf9Ygp9aqtFMKrlhiEVyMxC54O4ZWfFAivPMYQXnlsfSQyhNf4RMsQ3jlXShnfESLqmO2wKfWqrRTCq5YYhFcjMQueDuGVnxQIrzzGEF55bH0kMoTX+ETLEN7ZV0ob3xEi6pTtkCn1qq0UwquWGIRXIzELng7hlZ8UCK88xhBeeWx9JDKE1/hEyxDemVfKGN8RIuqc7aAp9aqtFMKrlhiEVyMxC54O4ZWfFAivPMYQXnlsfSQyhNf4RMsQ3umXyxnfESLqmn2/KfWqrRTCq5YYhFcjMQueDuGVnxQIrzzGEF55bH0kMoTX+ETLEN6pl8sb3xEi6p59nyn1qq0UwquWGIRXIzELng7hlZ8UCK88xhBeeWx9JDKE1/hEyxDeKZcrGN8RIuqRfa8p9aqtFMKrlhiEVyMxC54O4ZWfFAivPMYQXnlsfSQyhNf4RMsQ3kk/VzS+I0TUK8ceU+pVWymEVy0xCK9GYhY8HcIrPykQXnmMIbzy2PpIZAiv8YmWIbwTfq5kfEeIqE+O3abUq7ZSCK9aYhBejcQseDqEV35SILzyGEN45bH1kcgQXuMTLUN4x1+qbHxHiKjvp7tMqVdtpRBetcQgvBqJWfB0CK/8pEB45TGG8Mpj6yORIbzGJ1qG8I69VMX4jhBR/093mlKv2kohvGqJQXg1ErPg6RBe+UmB8MpjDOGVx9ZHIkN4jU+0DOEdfamq8R0hooGf7jClXrWVQnjVEoPwaiRmwdMhvPKTAuGVxxjCK4+tj0SG8BqfaBnCO+piNeM7QkSDcn5nSr1qK4XwqiUG4dVIzIKnQ3jlJwXCK48xhFceWx+JDOE1PtEyhHfExerGd4SIhuTcbkq9aiuF8KolBuHVSMyCp0N45ScFwiuPMYRXHlsfiQzhNT7RMoR32MXPje8IEQ3Luc2UetVWCuFVS8yhfJkKY+3+4v86zCmif1Co3d9ep0riXCYk3O5v33zT1alMk1qTPG5twMsQj8vGVND/tX3bdQnqLojBAhoR4O+uRfr/v5/+Ia0c0S/Ufnxbua1xrW2mjN+4Bsm2vf4+9uHzKFcGX3Q9apO+haz2Odnz0wh9O0hEQy/U0D2mJwGH59rqSTHTy0B4NaYAwqsRoKvTDb72mnIh9LHvXAivhM/J/0OaMn7ldUd+ZAivC8YGX3TlZ9mpBqt9TmQI7+ALNU0gSzQy17em1Ku2UgivWmIO5SG8GgFCeCUAtF5ICK+8nFjti1xeT3WKDOGF8Oo0lLSEkSG8A8/X0tKkWJ87OveWWJ9r5IkQXo20IbwaAUJ4JQC0XkgIr7ycQHhVsoXwQnhVDhkZxWUIb//zdWQ01W3Msbk32ZV5/PQ5DR6/hI6fvkRJ30hMTepVpDaNXT9Q98+jp1SqjvMSzvffe5v2rZ3stm41BSC8ami5KAvh1QgQwisBoPVCQnjl5QTCq5IthBfCq3LIyCguQ3j7na8ro6luY47LvdGuTI9hcygsLIwGd29Kdx88og59p9CY/q2pZJHcTrEiIiLo+b+v7P7+3b4T9N2+H2jVrIFu61ZTAMKrhhaEVyMtD083eDmZKcKANbweDgYUc0fAlPHrrlFW/n8IL4TXAuNThvD2OVfPlJ5NyLMhqt7g4BAqVK0DBc4dQlkzpRV/nzg3kB4+fkbjBrR1276Q0DCq3qQfDerWlEoUzum2vJoCEF41tCC8Gml5eDqE10NQcacYZnjl5QrCq5IthBfCq3LIyCguQ3h7nasvo6luY07Ksz6qzM0/7lL1pv3p9K4FlDhRAvH39dsP0cbthylw3lC3sb7ZvJ927Nd/dpcrhvC6xR9zASxp0AjQ1ekQXglQzQ0J4ZXHH8Krki2EF8KrcsjIKC5DeHue/UJGU93GnJx3XVSZK7/8TvXaDKVLB5eSn1/krczte0/QglXbaOvyMTHGehUUTJW/7E2ThnSggnmyuq1XbQGfEV6eJh89bSXFixdAg7o1sePUsMMIunjlht3furWpJxZZh4dH0KS5gbR551EKCQ2lciXy0/BeLShRwshfLhBetUPOg/IQXg8gxa0iEF55+YLwqmQL4YXwqhwyMorLEN7uZxvIaKrbmFPzro0qo8zwnt2zkBIkiC/+zjO8G7YdprXzY57hZSk+efYKLZ7cx22dsSngE8J74PuzNGbGKnr85DnVrlLCpfDWqVqSKpcpFMUwUYL4IlmB3x6g5et20eyx3SlJ4oTUe8Rcyp0jE/VqHzmwILyxGXZuzoHwSoBqbkgIrzz+EF6VbCG8EF6VQ0ZGcRnC2/VsQxlNdRtzet7AqDJiDW/V9mL5grKGd8LsNcS7MUwY3D7aWE+f/0uVGvWmBRN6Uq7sH7utMzYFfEJ4FTAT5wTS6+AQl8LbuHZ5+rziZ04Mm3UdS+WK56Om9SuJ/zt84jyNmLKc9q+fAuGNzYjz5BwIryeU4lQZCK+8dEF4VbKF8EJ4VQ4ZGcVlCG+XM41kNNVtzBn51tiV6Tp4Jvn7+4kHzx7885ja9p5Ew3q2oHIl8om75m16TaTmDSpTicK5os6bPG8d3fjjL5o9ppvb+mJbAMJLRLyk4ffb9+iNJInog9TvUMuGVan0Z3kEU94fbmSfllHbafx+5z5V/apv1IJszPDGdujFcB6EVwJUc0NCeOXxh/CqZAvhhfCqHDIyissQ3q/PfCmjqW5jzsr3jV0Zns0dPGEJ/XDmMr2ROBE1rlueOjSNfAtcaFgY5S7XSiwNrVe9lPjb3w+fUJXGfWjVrEFRs8JuK41FAQgvEfEia94cOSKC6OjJ8zRp3jr6ZvYgyvZJOjE1P3N0VyqcN5vAe//vx1S2fnc6umUmvfVmMmlLGr7d1NMpnXUqj/M4xQEvQzwuG1NB/9ehusRRFQTCqwpXXCgM4ZWXJQivSrYQXgivyiEjo7gM4e30kznCOzu/vfDK4KVHTAivC4qte02k/Lkyi18kPMM7ul9rKl4ocj84o2Z4t29xFt6aFSG8egx6xximCAP24ZWRSp+Macr4jcukIbwQXguMXxnC2/Gnxqb0bE7+1abUq7ZSCK8LYl92HCnW8zaqVY6adhlDFUoWEK/G4+Pg8bM0fPJyOrRxmvg3ljSoHXIelMcMrweQ4lYRzPDKyxeEVyVbCC+EV+WQkVFchvC2P/2VjKa6jTmvwCq3ZaxQwOeF9897/9A3m/dRtXJFKNU7KWnXwR9p2sL1tH3lOEr97lu0etNeWrVxH80dx7s0JKKew+dQ9szpqH/nyF9SEF4JwxjCKwGquSEhvPL4Q3hVsoXwQnhVDhkZxWUIb7tT9luuymi3q5jzC640qipN9fiE8O7Yf5JGTV9BQUHBxC7Fb/8Y2qM5VSpdkJ48fUGDJyym85d/o39fBtEnGdJQrw4NqUDuLAJsWFg4jZ+9hrbu+Z5CQ0OpTLG8YrE1yy8f5UqMtEvAyi29NCUEJxtL4O3kCenFqxB6HRJubMWoTRqBVG8mokfPX1NomMG/nKT1yHcDI5fel/v330pM9x69Et/Fvnx88HZi3bvf9lRT3WN6EnBBwRWeFDO9jE8Ir0zKEF6ZdOXHhvDKZ2x0DZAko4nLqw+5lMfWrMgQ3kjyMoS39Y/mCO+iQhBesz5PhtYL4TUUt+6VQXh1R2p6QEiS6SnQrQHIpW4oLRMIwitPeFv92MyUPC8utNyUetVWihletcQcykN4NQI0+XQIr8kJkFA9JEkCVJNCIpcmgZdYLYRXnvC2PNlcYuaiD72k8DJT6lVbKYRXLTEIr0Zi1jodwmutfOjRGkiSHhStEQO5tEYe9GwFhFee8DY/2ULPVHkca1nhpR6XNbMghFcj/fJFhttFWPFdH6eILcqNtvtbUOpkTmX8Q+0fmgpPEOBUZs3Kzhpbi9MdCUB4vW9MQJK8J6fIpffkUukJhFee8Db7oaUpA2Z5kSWm1Ku2UgivWmIO5SG8GgGafDqE1+QESKgekiQBqkkhkUuTwEusFsIrT3ibmiS8KyC8Ej8xFgoN4bVQMmLRFAhvLKBZ/BRIksUTpKJ5yKUKWHGkKIRXnvB+daKVKaNgVdHFptSrtlLM8KolhhlejcSsdTqE11r50KM1kCQ9KFojBnJpjTzo2QoIrzzhbXyitZ6p8jjW6qKLPC5rZkEIr0b6mOHVCNDk0yG8JidAQvWQJAlQTQqJXJoEXmK1EF55wtvoeBuJmYs+9JrPFppSr9pKIbxqiTmUr1BwqN1flu/q5xSxZelRdn8L+sD5oTU/xzd9uXj95eq13TS2Fqc7EoDwet+YgCR5T06RS+/JpdITCK884W34vTnCG1gMwut9n1QXPYLwxu00Q3jjdv5ctR6S5D05RS69J5cQXvtcynjTWoPv25oyYNYWW2BKvWorxQyvWmKY4dVIzFqnQ3itlQ89WgNJ0oOiNWIgl9bIg56twAyvvBne+sfa6Zkqj2OtLz7f47JmFoTwaqSPGV6NAE0+HcJrcgIkVA9JkgDVpJDIpUngJVYL4ZUnvPWOtZeYuehDbyg+z5R61VYK4VVLDDO8GolZ63QIr7XyoUdrIEl6ULRGDOTSGnnQsxUQXnnCW/doBz1T5XGsjSXmelzWzIIQXo30McOrEaDJp0N4TU6AhOohSRKgmhQSuTQJvMRqIbzyhLe2ScK7GcIr8RNjodCV8gyya83S/QOdWteq5Ei7v736ILlTGcdXC1NEhFOZVRt7WKjn3tEUCK935NG2F5Ak78kpcuk9uVR6AuGVJ7y1jnQ0ZcBsKTnHlHrVVooZXrXEHMpDeDUCNPl0CK/JCZBQPSRJAlSTQiKXJoGXWC2EV57w1jzSSWLmog/9bcnZptSrtlIIr1piEF6NxKx1OoTXWvnQozWQJD0oWiMGcmmNPOjZCgivPOH9/PDXeqbK41jbSs3yuKyZBSG8GuljhlcjQJNPh/CanAAJ1UOSJEA1KSRyaRJ4idVCeOUJb/XDnSVmLvrQ20vNNKVetZVCeNUSwwyvRmLWOh3Ca6186NEaSJIeFK0RA7m0Rh70bAWEV57wVjtkjvB+VxrCq+dnxLKxqmTrb9e2iHj+Tm31Cwmz+1vQhymcy4SG2/3NL9z5oTW/YPs4MUEJCArVhZlj23UJ6iZIeMJ4RlQTVUfAy2BD6xOV+fkZX6eJNYYnCDCxdu+u2i/M+Vrh3T3W1ruI+M7XaG0R4/7ZfmH23z9xv0fOPQhPYOz3ijuGe04Pd1dE9f9XOdhF9Tl6nLCzzAw9wkiPgRlejYghvBoBujgdwqs/U7MjQnjlZQDCq44thNeZF4RX3RjSo7QM4a18sKseTVMdY1eZ6arPMeMECK9G6hBejQAhvPoDtGBECK+8pEB41bGF8EJ41Y0YOaVlCG/FA93kNNZN1D1lp5lSr9pKIbxqiTmUh/BqBAjh1R+gBSNCeOUlBcKrji2EF8KrbsTIKS1DeCuYJLx7IbxyBonVokJ49c8IljToz9TsiBBeeRmA8KpjC+GF8KobMXJKyxDe8vu7y2msm6j7yk01pV61lWKGVy0xxxneTL3t/rL45AiniK2KDrX7W9BHbzqV8XN4aM0/xPkhghXb7OvS2HScTkTYpcH7hgGe7PeenCKX3pNLpSfYpSGSxAdvJ9Y9uWX3m/M21gPlpujeFxkBIbwaqVaB8GokaO7pEF5z+cuoHZIkg6o5MZFLc7jLrBXCK094y+zrKTN10cY+WH6yKfWqrRTCq5YYZng1ErPW6RBea+VDj9ZAkvSgaI0YyKU18qBnKyC88oS39L5eeqbK41iHyk/yuKyZBSG8GuljhlcjQJNPh/CanAAJ1UOSJEA1KSRyaRJ4idVCeOUJb8m95gjvkQoQXokfGeuEhvBaJxexaQmENzbUrH0OJMna+VHTOuRSDa24URbCK094S+w15zmfoxUmxonBhxlejWmqnNb+zSZLzo53itiq8BC7vwWlTelUxt/xTWsu3qq24rs+GluL0x0JQHi9b0xAkrwnp8il9+RS6QmEV57wFt9jjiMcqzghTgxUCK/GNEF4NQI0+XQIr8kJkFA9JEkCVJNCIpcmgZdYLYRXnvB+truvxMxFH/p4JeeJPlMa4qZSCK/GrEB4NQI0+XQIr8kJkFA9JEkCVJNCIpcmgZdYLYRXnvAW3d1PYuaiD32i0jhT6lVbKYRXLTGH8hBejQBNPh3Ca3ICJFQPSZIA1aSQyKVJ4CVWC+GVJ7xFdpkjvD9UhvBK/MhYJ/RfD19ZpzE2LWlRbrQu7Vq6f6AucawaBMJr1czEvl2QpNizs9qZyKXVMqK9PRBeecJbaFd/7QmKRYQfK4+NxVnGn4IZXo3MIbwaAZp8OoTX5ARIqB6SJAGqSSGRS5PAS6wWwitPeAvuHCAxc9GHPlVljCn1qq0UwquWmEN5CK9GgCafDuE1OQESqockSYBqUkjk0iTwEquF8EJ4JQ6vGENDeDWSr/RBJ7sISy86b8Dc7N2mdmXCSuVxqtUvLMLub34hYU5lVmw3Z8sRjYgsfTqE19LpiVXjIEmxwmbJk5BLS6ZFU6MgvPKEt8AOc2Z4T1fFDK+mD0VcORnCG1cy5bqdEN64nT9XrYckeU9OkUvvyaXSEwivROH9zpxnbk5X0+eZIdmjHTO8GglDeDUCNPl0CK/JCZBQPSRJAlSTQiKXJoGXWC2EV57w5jdJeH+C8Er8xFgotFXX8OqFqGXJkXqF8jjOkiODPS6rtSCEVytB650PSbJeTmLbIuQytuSsex6EV6Lwbh9kSuJ/qj7KlHrVVooZXrXEHMpDeDUCdHE6hFd/pr4UEZLkPdlGLr0nl0pPILzyhDefScJ7BsLrfR9UVz2C8OqfZwiv/kx9KSIkyXuyjVx6Ty4hvPa5/ODtxLonN982c2Z4z3yOGV7dk2nFgJVStbNr1tIr05ya2TKf/WbQwRnedSrjFxpu9ze/MPt/839ilwb9RwCWNOjP1OyIkCSzM6Bf/cilfiytEgkzvPJmePNuNW45oO14OlvD+KWPsRnPPrOkISQ0jEZPW0nx4gXQoG5NXLK6c/dvatxpFH3xeWnq1KK2KBMeHkGT5gbS5p1HKSQ0lMqVyE/De7WgRAkTiP+H8MZm2FnnHAivdXKhV0sgSXqRND8Ocml+DvRuAYQXwqv3mPI0nk8I74Hvz9KYGavo8ZPnVLtKCZfC+/DxM2rVYwL5+RGVL5E/SngDvz1Ay9ftotlju1OSxAmp94i5lDtHJurVvgGE19NRZuFyEF4LJyeWTYMkxRKcBU9DLi2YFI1NgvDKE9483w7RmJ3YnX6u5ojYnWjwWT4hvArTiXMC6XVwiJPw/vsyiFp2H0/tmtagfUdOU5rU70QJb7OuY6lc8XzUtH4lEebwifM0Yspy2r9+SqTwvtPWLmV+yZI6pzDM/iUSLpc0OLx4IiLAzylOwMsQj4eHf4jzkgiPT7Yp6Bfq/AKM2MRRc05EgL+a4prLulo+ojmouwD27xlxVzrO/39E/IA43wfLdsD5UmHZplqhYRHg5ZQGP32+LqyQ3mjbEB7f2O8VdzD2nhrurojq/89tkvCeh/CqzpX0E1wJb3BwCLXvO4WqVyhKdaqWpAFjF9oJb6k6XWlkn5ZUskhu0b7f79ynql/1pdO7FlDiRAkgvBKyBuGVANXkkBBeiQmAwKmCC+F1xgXhVTWEdCksRXi3mDPDe74WZnh1GRR6BnElvIPGL6b0H6Wm1l9WE1U5Cm+hqu1p5uiuVDhvNvH/9/9+TGXrd6ejW2bSW28mg/DqmaD/x4LwSoBqckgIr8QEQHhVwYXwQnhVDRhJhWUIb67NQyW1NuawF2rrP1stoyM+v6ShYYcRdPXXP6LYhoaGiXW8ubJ9TKtnDyKe4R3drzUVL5QTM7wyRqCLmBBeg0AbWA2EVyJsCK8quBBeCK+qASOpMIRXEtgYwvq88DqycZzhbdplDFUoWYCa1Ksoih48fpaGT15OhzZGbj+GNbz6D1oIr/5MzY4I4ZWYAQivKrgQXgivqgEjqbAM4c25yZwZ3ot1MMMraZjEPmx0D63ZRnQU3tWb9tKqjfto7jjepSER9Rw+h7JnTkf9OzeG8MY+FTGeCeGVBNbEsBBeifAhvKrgQnghvKoGjKTCcoR3mKTWxhz2Yh1z6lXbWZ+Y4d2x/ySNmr6CgoKCiR+O54fNhvZoTpVKF3Ti5Si8YWHhNH72Gtq653sKDQ2lMsXyin14WX7FDG/KVnYx/JInc85BuP0jsMEZUzmVcXzxBLnYqWDl5p5q84vybghgWzLvGyLYysp7copcek8ulZ5gW7JIEjLetPbpRnPE81Jdc+pV++nwCeFVC0VNeQivGlrWKwvhtV5OtLYIkqSVoHXORy6tkwu9WgLhlSi8G8xZWnCpnjlLKdSOSVOE99mLl3Ti9M/0260/6dGT5xQREUFvp0xOmTJ8SEXyZ6fkSZOo7Ydp5SG8pqHXpWIIry4YLRUEkmSpdGhqDHKpCZ8lT4bwyhPeHCYJ788QXufP2q3b92juim9px/4fKEWypJQzW0Z69+0U4mUQ9x48ol9v/UnPX7ykauWKUodmNShtmvcs+YG1bdRfD19Zvo1aGtiypPHvyF5yxLj3gUN4tYwOa54LSbJmXmLTKuQyNtSsfQ6EV6Lwrjdnhvfn+pjhtfvUrdywh6YsWE8lCuekL2uVp4J5slKAwzrV0LAwOnH6Mq1Yv5tOX7hGvdp/QY3rVLD0pxfCq396ILz6M/WliJAk78k2cuk9uVR6AuGVJ7zZ15vzAojL9c154YXaT4dhSxqK1+xMEwe3p6IFcnjUxr1HTtPAcYvoxx3zPCpvViEIr/7kIbz6M/WliJAk78k2cuk9uYTw2udSxkNr2deZJLxfQHjtsvvHn/dVL1G49tttyvLxR5b+xFdM0cKuff6udmmI4L0h/jtCMrpYqhFuX8bP4Rw+e8XW3pZmERcbhyUNcTFrMbcZkuQ9OUUuvSeXEF75wpvNJOG9AuH1vg+qqx5BeON2niG8cTt/rloPSfKenCKX3pNLCK8BwrvW+GduuFdXGhj33I2WT4RhSxqURvJM7+2//qZiBT8Vf+J9bnnN7vUbd6hs8bzirWZx6YDwxqVsObcVwhu38wfh9b782fYIwut9+cUa3sicyljSkDXQHOG92hDC6/KT2mfkPHr37Tepd8eG4v+XrdtFc5ZtoRKFc9HJM1docPemLl8IYdWPvVXX8LYoN0YXZH6hYbrEURNkyWHjPjwQXjWZiRtlIUlxI0+etBK59IRS3CoD4ZUpvKNMGQxXGw6yq/fx0+c0ePwSOn76EiV9IzE1qVeR2jSuHmPbzl/+jWYt2Uznfv6VeAODXasn0HvvptS1P4bP8NZoNoDGDWxL2TOnFx2p23oIfVm7PNWtVlLAmblkM62ZY5zwaKUJ4dVK0Pl8CK/+TH0pIiTJe7KNXHpPLpWeQHjlCW+WNeYI77VG9sLbY9gcCgsLExOYdx88og59p9CY/q2pZJHcLgc0S+7XA6ZT1zZ1xeRnRHjkuxkSJIiv6wfAMOHtPHC6aPjRHy9SwdxZKVHCyI4cPH6OCubJQkmTJKaQ0FCxLVnJIrnE/1UpW4Sqliusa4f1Dgbh1ZsoEYRXf6a+FBGS5D3ZRi69J5cQXvtcyljSYAXhDQ4OoULVOlDg3CGUNVNa0emJcwPp4eNnNG5AW5cDuknn0VSrcgkx8SnzMEx4/7z3j+hHm14TaVC3JpTuw9R0/uffaOTU5bRhUeRWGvzWteZdx9LW5ZG345MlTWL5t65VTNbMLj/+KZI75ysWuzRExA9wirNqYw+ZY8EnY2NJg/elHZLkPTlFLr0nlxBe+cKb+ZvRpgyY618OjKr35h93qXrT/nR61wJKnCiB+Pv67Ydo4/bDFDjP+QUV/LKxItU7UuUyhejUuav0Kug1FS+Uk0b0bikcUM/DMOFVGj125mr659FTatGwCk1buIFSpkhKEwd3EP/NrxsePWMVbV8xVs8+So0F4ZWKV3pwCK90xIZXAEkyHLm0CpFLaWhNC4wlDZHoZczwZl5tkvA2/k94r/zyO9VrM5QuHVxKfn5+oq/b956gBau2RU1m2g4+3rCgdstBNGdsd3G3//mLV9R39Hx6683kNGVYR13HqeHC++TpC2rfbwpdvHJDLEheOrUfpfswcl/ansPnUPJkb9DQHvazprr2WOdgEF6dgRocDsJrMHADqoMkGQDZoCqQS4NAG1gNhFee8H6yWp+H1dUOh18aD4g6RZnhPbtnYdQaXJ7h3bDtMK2d7zzD+8vNO1SrxSC6eGAp+ftHCvKxHy9S96Gz6dROfV88ZrjwKlR4lvfNFEkpXsB/t+75RRPvvZNS/D2uHFZdw6sXv5aljF8Ev+Sw/QJ4vfriKg6EVyZdc2JDkszhLqNW5FIGVXNjQnjlCW+mVeYI769f/Se8Yg1v1fZi+YKyhnfC7DXizv6Ewe2dBt/LV0FUuFoH2rhoJGXO+KH4/8MnztOo6Stpb+AkXQeracKray9MDAbh1R8+hFd/pr4UEZLkPdlGLr0nl0pPILzeLbzcu66DZ4rZ2kHdmtKDfx5T296TaFjPFlSuRD4KD48Qz3I1b1BZ7MjAR++Rc+nBP09o8tCOFBERQbzLAy9v6NKqrq4fAMOElxcjF8yTVVXjL169STmzZlB1jtGFKyZvblelfzL3s9MuXy1s/2Zh8gsLd+rKiu19jO6e19eHGV7vSzEkyXtyilx6Ty4hvPa5lLGG9+OV5jz/9FuT/nad49ncwROW0A9nLtMbiRNR47rlqUPTmqIM77Gbu1wrGt6rBdWrXkr87d+XQcTPdx04dobix49HtSoXp69b1qH48Zwf3tfyiTBMePPUHhQ9AAAgAElEQVRUaE19OjaiBjXKUECAf4xtZsPfsusYjZ6+UjzpZ+UDwmvl7LhvG4TXPaO4VgKSFNcyFn17kUvvySWE1wDhNemB/9+a2guvVUetYcK75/BpGjZpqXhQrXGdClShVAFKkewNOy5s+Wz4qzfvI34FMf8CsPqrhiG8Vh3anrULwusZp7hUCpIUl7IVc1uRS+/JJYRXvvBmNEl4b0B4nT+o/Lq5pYE7acP2w2IK+4PUb9N7775FAf7+dPfBQ/rr/kNKkighfVGjDDX/onKceHgNwhu3L8gQ3ridP1ethyR5T06RS+/JJYTXAOFdPs6UAXOjWT9T6lVbqWEzvLYNCwsLp0vXbtIvN+7QoyfPxF5tKVMko08yfkg5s2aM2ppCbWfMKF8xaVO7av2SJ3PbjNBM7zuXCXdcxOtcxD8o1G1spYB/qPMaYI9PtinoF6JPHFV1R+5MYtgR7uIlH7Ird7VGW3adpsZ3GN6mtsXLKo8IMPgDE8f5+bt4PiKOd0lz8yP+vx2U5kAWDhDhZiml0U3f81PkC7f0PDKYJLw3Ibx6ptG6sSC8EnJj8Pc3hFdCDh1DQnilQYbwqkML4XXmBeFVN4b0KC1FeJeN16NpqmPcbN5X9TlmnGDKDK8ZHZVVJ4RXAlkIrwSoJoeE8EpLAIRXHVoIL4RX3YiRU1qG8KZfao7w3moB4ZUzSiwWFcIrISEQXglQTQ4J4ZWWAAivOrQQXgivuhEjpzSEVw7XmKJihlcjcwivRoCuTofwSoBqckgIr7QEQHjVoYXwQnjVjRg5paUI75IJchrrJuqtlnHjHQEQXo3Dw1F4/ZMnd4oYEWH/4Jerh9b8HB5ac7WmauWWXhpbi9MdCWCXBu8bE3iy33tyilx6Ty6VnuBNa5EkZLx4Iv1ik4S3FYTX+z6pLnoE4Y3baYbwxu38uWo9JMl7copcek8uIbz2uYTwGj+2TZvh5W3J9hw6RfcePKIJg9sTb1W2JHAHFc6bjXJl/9h4ErGsEcIbS3AWOQ3Ca5FE6NgMSJKOME0OhVyanAAJ1WOGV+IM7yKTZnhbY4Y32o/K7kM/Ut/RC6hkkVy0/+gZ+vnQMlGWXyV89/4jmjWmq4SPmZyQfz18JSewRaK2LDXK8JYsOTzIsDohvIahNqwiSJJhqKVXhFxKR2x4BRBeCK/hg+7/FZoyw1uzxUBq1agq1ahYjHKUbh4lvD+cuUx9R82nw5umm8VDdb0QXtXI3J4A4XWLCAViIABJ8p7hgVx6Ty6VnkB4JQrvQpNmeNtghjfaT2reim1ox6rx9H6qt+yEl5c5fNVpFJ3btzjOfMohvPqnCsKrP1NfighJ8p5sI5fek0sIr30uZazhzbDAHOG92RbCG+0ntfwXPWjsgLZUME9WO+FdtnYXrd9+iL5bac77oGNzaamYrJndaX7JkjqF8fP3t/tbSIZUzmXC7PdtcvX2r1WbesSmiTgnBgJY0uB9wwOS5D05RS7l5vLu/X9o0arNdO7SdQoODqZUb79FeXNloeaNalDSN5JoqrxRm340rF8HyvJxOrs4ns7wXvvtdzp95mdqXL+qUztCQsNo9sJACogXQJ3bNIz6f+7PrEWB9OvNO/T8xb+U5v1U1LxhDSpWOLcoc+rsz7Ry3Xf0x517FB4eTpk/Tkdd2jWitGlSa+prbE6G8MaGmrZzTFnSMG/FVuJ1vOMGtqM6rQbT/vVT6MgPF2jinDXUoVlNatnQeYBr66a8syG88tgaERnCawRlY+uAJBnLW2ZtyKU8uhEREdS88zDKmyMzNahTiZIkTkg3bv1J3+07Rs0aVKePNEpgbIX35asgWrhyM/3400V6/uIVvZfqLapUpijVq1FewDh+6gLNXryWnj57If5uK7y3/7xH13/7g3Jk/ZgSJ0pAuw+eoFXrdtCWlVPJ399PCK+fnx9lTJeGQsPDaf6yjRQU9JpGD+wkD3Q0kaUI7/yJhveDK7zZrrcp9aqt1BThDQ+PoElzA2n1pn0UGhYm2syDsWHNstTv68YUEGA/I6q2U0aWh/AaSVv/uiC8+jM1OyIkyewM6Fc/cqkfS8dIDx4+psZtB9DaRePorZQpXFY0YuICSpIkMf398DFdvX6TMqZPQ/26tKD3Ur0tyv9w+iItXr2F7j94RJ98/BF1aduI0n34Pk2es4p27f+eEiSIL77bv6pfjRrUqkiXr9+krv0n0MKpgyh92jQu65yxYI3wgsplP6OzF65S+VKF6cyFq1SlfDG78iyrwSEhdsJrW+Dfl69o0/YDdPHyrzRhmP2D8Cz7Dx8/oxnzv6EsmdK5nEWWRz4yshThnWeS8LaH8LodL89evKRfbtwRtxYyZUhDKVMkI75VET9egNtzrVLgdYj9SyVctevhs9dum8vi5e5QE+fa+d+jDde79RJ3VdHERS0jy8Twhqw+LRe5jTNhSWu3ZRzjLDnkvEuD3nyURsWP50dhYRFk+94PNZxj6hzixJx6WXxcSZKs8WOVz7u3jsME8fwpJCycIlxch2SNH1csvXH8sFS2/HoIfZr1Y6pfowxlzZSOkr6R2K77vUfMoZu371GrxjUpzfvv0ZJvtlDQ6xAaPaAj/Xn3AXXsPZaG9WlHxQtmoy07j9DqTXtp0+LRFD9+PKrcqAdNHt6ZcmTOIGJyvn6/c5cWLd9AX7f5MkqabStkzm16jqeKpQtR9izp6fiPl6jNV5/btUnJe0zCu2HLTpq/cit9miUDzRjdnd5MYb/UkOv46cI1qlqhOHVt+6WQcqPznjC+/hN7GSC8MX7pmDLDy/vtulq28OLfV9R18ExaPCVuLIB2a3L/L+DJg22e/NrTK06lPIPdNn33uZFuy1TOOdBtmV0XR7st4xjHlfAayUcvzogTc+pl8XElvBg/MecCfHyTT2jQc5q7/Fs6fvoS/fPoKWVM+z59Wac8NapVTgDpNmQWfZwxPdX9PPLft/74izr8r73zjo+ieP/4k4Q0uiCKWFBBpYhIEVDpCKEpRZqUkNCkQyAQOgQInVBCCEWBUCO9EwhVBERRRP1hwfJVUbr0kuSS/F67MYEryd3czuzs3X3uH1+SZ56ZfT+zyTuT2dnwKbQrIYbWbdqjCuyosO7Zq5VNOg2n8UNCqEaVclSvzWCKiRqkSqfyybrfc9vDq8xDZbvjmOnL6NUyz1O+wEDqG9KCyr38fHaBsvLkJrxKnrv3Hqhn+x8+/g2tXzzB6i/H3567SHMWrVEfnu/f4+E+4Edngp73hd0flA4EvBAnaYW3D1Z4cyzPG016U2j7xtQ3pGV2zOWrN6h3xGy6/yCZ9qyR86ShA/PJKuTarRS7zZJTM7dt5Pbx97W/qs2SZ/qQ1Tl2d+bU7/aGQxWrZn6TMlv6tGj17Ze/2c3z2hsv2o2xzGNLeHnzyRpUwXy+dD/ZRKmmh0tILJxzuzjkyb30ovjYEl5R88fWFYq6Llt9uft1Fc7vR7fvpVCajT+kgTPf++va9Zv01Tc/0Oy41TR2SA+qWeN1GjttEZV9+cVs4b116w69HzqMtq6KVvfZ5g0MoF7BrSlrHg4cPZuaNniLGtd/k1qHDqcpo/tSmdKZsppVr9yENyuPMpbte4/SZ5+fpus3b9Nbb1Sk8L6dzPLkJrxZeR4kp1Cjtv1pZWwkPf/sU2bAlPF88fX/0cwF8bRhmW3nEHl/FS3oZ/dnI2vAiwvlCO9vfSG8OdZKOX7sw+GzqVWTWhTeuz39+r+/1f8v9vhjtHDqYHVrg6t8LPfwehe0HruyX+jRj6m0+Y2nfM3L1nd0Cwgrt7vGpHKV2injxB5eV6qWY2PFvk/HOLlCFGoprkrJKankmyeP1Z/zh42fS9Uql6e2LRqSsodXeQAsa4X3x1/+oFGTYmhz/Cxas2E3/e/8BRod1j17kF37jaPBH3akSq+VoU4fjqKx4b2ozEsPV2eVQNZTGuq8VYW6D46k3QkLzFZp7e3hVfq6fuMWteseQaviJlPx//YdP0r0yLGvaMmqzbRmkf2/RPKuhCOrx6x9QnhzJyZlS4MypN/+vEA9h86kiuVL04lT31O1SmVp+pgPKcCf/289rJOGJR7Cy0LLeLEQXuPVROuIIElaCRqnPWoprhbKA2TzFq+lzm2bUvlXMv8Sp5xiELd8I82bOkx9+EwR3vz581LoB++pf32NXriaXin9PPUMbqXu4e0TPpXGD+9J5cuUVh9SUx4S+3jeeHUP7+DRs+iN18tRq+b1KSUllQoXKmB3D68yhnWbE+nt6q+r/SnHkj3xRBHatOMgLZo1ygyGLeHduvswKQtMSr/KcaBL4jfSvzdv0/wpw9TTGWKWJtBr5V+isq+8SNeu3aAZMfH0drWK1KNLK3Ggc8gsRHhjJa3w9nONxThpwqvMgQuXrlGP8Jnqiu7K+aNy3Diu+0xk6BDCywDLgKEQXgMWReOQIEkaARqoOWoprhi37tyljdv2qyctXLx8jfL4eFOpF55VBbjiqy+rHSvC+8+lq/Tv9ZtkSjVRnZpVqXdIG/L381W/rrT9aPVWunzlGr1U6rnsUxqUr3393Y80O3aVusraJ7QtvRtU26FTGlZ+spMOHv2Sbty8rfbxeoWXqU9I2+yH3A4dPUUxHydQcnLmdkJ/fz/1wbM6b1Wmr86cpVXrd9Mff11QBVdZae4b2oaKFimsxipCvufAMVLO6y2YPx81qF2NurRrpp4mofdHiPAukCS8/SG8ZvNn7AzbJwNcv3GbDh0/TUF1q1G+vAFqm0nD/zshQO8Z6ER/jjx440RawzTpVney7mOxtYdX1CAgvKLIyssLSZLHnnfPqCVvomz5LLc0sLW2Hc26pcHWiyd4jEN2Dgiv/hXQbYV3wOh5Dl+d8mSnq3wgvPwrBeHlz9STMkKS3KfaqKXcWkJ4xfEXIrwxs8QNOJfMvw0Il9Iva6e6CS/rwFwlHsLLv1IQXv5MPSkjJMl9qo1ayq2lTOGVe+XiexchvKXmyxHeXwdCeMXPGAP00KhQqNkovGy8f1zZS/ToJ/XFJ61G7vXomw9yuC6c0sC/4NjSwJ+p7IyQJNkV4Nc/asmPpVEyObqlwSjjFTUOCK8osjnn1XWFN2LyYurQsj4lHvoi1ysdOSDzvD2eH+UNblFzV1GePD40ZnCX7NTKE52jpn6kvnXl8rUbVLRwQWr3Xj3q1bm5uuk96zXIW/YcpVSTiRrUqkKR4aHZp0lAeHlWSf9cEF79mYvuEZIkmrB++VFL/Vjr1ROEN5O0EOGdJ2mFdxBWeK3un7a9JtDA7q1p1cZ9ud5bS2byhXfw2GmaMn81KQ/IKWf/Piq8itCu3LiXalV/jR5/rBD9cO4P9Uzg1bFjqEKZFyhh20GKX59IsVPDKG+gPw2bGKcepaacH6x8ILx6fZsU0w+EVwxXmVkhSTLp8+0bteTL0wjZILwChXeuJOEdzNfZRM1TXVd4sy5COZPPx8fH6lV/oi4yK+/MhQmkHLb9qPA+2qcyrpOnf6Dxs5bTxqUTqUjhAtR10FRqULMyBbcNUkOPnDhDE6Pj6cCGaJvC650/n/VlOLClwfKNZl42Xh7vlWrjdUM5QPMyOR6bG3dvk/23xPGuW4YP/3eM5zpGB7aT8L5GT8uXkUfnmnoSYIvvL5506c5cq5eE72nOjFPPNhne7n9/ZviYby3Uk6+tvpK+jOQ+hFIQ3lyZShHeig26U9SIHtS84ZvcC55bwtyE94vTP1Jo2DR6vEghWhA1iCqUzTyIu07rQeoxabVrVFT//4/zl6hp5wg6lbiEAgP8rFZ4IbzaSwrh1c7QaBkgvAIrAuFlggvhtcYF4WWaQlyChQjvHEkrvGFY4c1xUrzTbgiF9+lAjetV4zJxHE3iyArvsVPf06gpS2nTRxOpRPHHqVrT3qQck1a9Ulm1m0tXrlP9tmF0dGuMugJsuaUBwutoNXKOg/BqZ2i0DBBegRWB8DLBhfBCeJkmjKBgEcJbOlqO8P4yBMKb4zSZ99Em+v3PCzR3Yn9BU8l2WnvCm9WqQ5+J1LJxTerQor66wqusRtesVgErvDpVC8KrE2gdu4HwCoQN4WWCC+GF8DJNGEHBYoR3tqDR5p72lyFDpfTL2qmULQ3KA2TKw2AtgmpSwfx5rcY8rG8H1utwKN5R4X03eCR1+6Cp+oBb8MAp1LB2VerSppHah/JWuMjZ8XR401z1/7HC6xB6piAILxMulwiG8AosE4SXCS6EF8LLNGEEBQsR3tmShHcohDfHadJ9yIxcp9DH0cOFTDFbwvv1dz/T/k+/UvcTFytamDbsOEzxG/bSrlWZ+3nXbE6i1Zv2U9w05ZSGABoauZDKvVySso5Og/DyLxWElz9T2RkhvAIrAOFlggvhhfAyTRhBwUKEd5Yk4Q2H8AqaJuxpdx84SZPnraQHD1Iog0h92Gz8kBAKqvsG/X3xKk2dv4a++/E3unvvPpV9qSQN7/tB9kNraWnpND12HW3fd4xMJhPVe7uSeg6vIr/KJ+ix7mYDsvXiCcsRp5QqbnURXmnmpyrYEoTVm4awXzxa5EoAx5K53wTBUVbuU1PU0n1qmXUlOJYsk4SIc3hLQ3hzvWGkbGlQVnijI/tRoQLmR3h9/d052rjzME0Z2dNl7nIIr8uUyuZAIbyuXT9bo4ckuU9NUUv3qSWE17yWQoR3pqQV3mFY4c3xTi1fN4SObJ6nbhl49PPTr39R+96R9E3SRy5zl0N4XaZUEF7XLpXDo4ckOYzK8IGopeFLxDxArPCKW+F9aYYc4T03HMJrdSNcv3lb/beaLQbQ9hVRVOSxgtkxKSkmWrlhr/ra4ayXOjDfSRIa/HPtvoRe9esytF6Ufp3919PyQ6N16xMrvPqgljGP9Lky+b3oeb/ofbUQXr2Ji+8PwgvhFT/LbPeg65YGZWU3t4+yt3ZCeCg1f0ffF1JogQ/h1ULPdls9f4BDePnXz1ZGCK84znreL+KuwnZmCK/exMX3B+EVKLzTJa3wRmCF1+rO+f6n39V/a/9hJC2eMZQKF8qfHRPg56e+6CFvoL/4O45jD0FFzfcb23xozeI1wSmlnrQageVDa7aGuGqraxzuzBGv8FQQXuGIde8AkqQ7cmEdopbC0EpLDOEVKLzTJAnvCAhvjjeUsrWhcMH85OUGx+lAeKV93+TSMYSXC0ZDJYEkGaocmgaDWmrCZ8jGEF6RwhstpebnRrjGCVK6bmn45+JV+urbn6n2mxWzT2j48Zc/acnqnZSckkIh7RrTG6+XkVIwZzuF8DpLzhjtILzGqAPPUUCSeNKUmwu1lMtfRO8QXoHCO1WS8I6E8FrdK9MWrKUvv/mRNi6NVFd37z9IocYdh6nyq5zYoMhw/PyR9Hr50iLuMyE5IbxCsOqWFMKrG2rdOoIk6YZaeEeopXDEuncA4RUnvC9PkSO8P4+C8FrdSK26jcl8XW/bIPVrew9/ob6md//6aHXv7tgZy+jqvzfVt5q5yseoD62FNJrKBaGXyfyFGFyS2kmy/CBOadCDs559hDTkMx/1HLOr9LUiaaSrDJV5nBBeZmSGbwDhhfDKmqS6bml4s3lfiokaRFUrvqJer/Kq3/MXrtC8SQPU/z/25fc0ZEIsndwVJ4sHc78QXmZkdhtAeO0icrkACK+4kkF4xbFFZv4EILwChTdK0grvaKzwWt0pVYJ60bI5EVSxXCn1az3CZ1LlCi9T364t1P//9uyvFDxoqmu9eOKJD82u0ytvXuvvEOnmq6S2TmkgixgvGwurq7a6xpOQ/L9FisuILQ3i2MrKjFVBWeT594ta8mcqOyOEV6DwTpYkvGMgvFb3VcvQMdT23TrUqXVDSk01Uc2WA2ja6F5U761KauzuAydp7tINtC9hlux70uH+gyC8DrMyYiCE14hV0TYmSJI2fkZqjVoaqRp8xgLhhfDymUnsWXTd0qC8SS12xVbq2ak5ffvDr+pDagfWR1OAv5868ojJi+n23Xu0cKrr7OGF8LJPOiO1gPAaqRp8xgJJ4sPRCFlQSyNUge8YILwChXeSpBXesVjhtbpLTGlpNGHWCtqZdJyKP1GUJgwNoRpVyqlxv/15gVp3G0ORw7pRi6C3+d5hArNBeAXC1SE1hFcHyDp3AUnSGbjA7lBLgXAlpYbwihPeVybOkVLVn8a5xiKlriu8uVUiOSWV7t1/QAXz5yMfH28pRXOmU6M+tObMtdhqE9ogilcqh/MsP4BTGhyG5SKBoQ2muMhIXW+Yyw+Mcr1BOzhiCK+DoFwoDMIL4ZU1XQ0jvLIAaO0XwquVoHV7CC9/prIzQnjFVQDCK44tMvMnAOEVKLyRklZ4x2OFl/+dYsCMQSX6mY3KK8DfapRePj5m/5b8TGHrK8mw+KcMy38gWr0ZpzTwngLY0sCbqPx8WBWUXwNeI0AteZE0Th4Ir0DhnSBJeCdAeI1zhwkcCYRXIFwdUkN4dYCscxeQJJ2BC+wOtRQIV1JqCK844S0jSXh/hPBKupt07hbCqzNwzt1BeDkDNUA6SJIBisBpCKglJ5AGSgPhFSi84+Ws8P4YiRVeA91i4oYC4RXHVo/MEF49KOvbByRJX94ie0MtRdKVkxvCK1B4x0kS3okQXjl3k869Nnl5uFmPpkKBViPwufCv2b89KPe0VYx3apr5v1lv4SXvZJPDV+dlsvGqNodbPwz05pSHpet0X/M9zyxtnYn1SuPDiqVvXvVh6VNmbEYe1zl5RSYnp/q28b3CqTwe0sgrHcCsSu3l/sVPN9j3oKQvI7lDLwPhzZUpTmnQOOUgvBoB2mgO4eXPVHZGCK/ACsDfmOBCeG3ggvAyzSEewSKEt+xYOSu8P0zCCi+POWH4HBBe/iWC8PJnKjsjhFdgBSC8THAhvBBepgkjKBjCKwhsLmmxwquROYRXI0Cs8PIHaMCMEF6BRYHwMsGF8EJ4mSaMoGAhwjtG0grvZKzwCpomxkoL4eVfD6zw8mcqOyOEV2AFILxMcCG8EF6mCSMoWITwlhstR3jPRkF4BU0TY6VtUm6k+YBs/fBJN38oyvRYXquLSCkcYPZvPg+sH1BbvWmIsS7eDUaDUxrcoIgWl4An+92npqil+9Qy60pwSkMmiRJFrR9w11ptCG/uBLGlQeMMg/BqBCi5OYRXcgEEdA9JEgBVUkrUUhJ4gd1CeAUK7yhJK7xTsMIr8JYxTmoIr3Fq4cxIILzOUDN2G0iSsevDMjrUkoWWa8RCeCG8smYqVng1kv/n2n2NGYzdPPSdKboPcPn+Ubr1CeHVDbVuHUGSdEMtvCPUUjhi3TuA8IoT3vIj5azw/t9UrPDqfiPJ6BDCy586hJc/U0/KCElyn2qjlu5Ty6wrgfAKFN4RkoR3GoTX/e5UG1cE4eVfZggvf6aelBGS5D7VRi3dp5YQXvNainhorbxBhPf6zds0dvoyOn7qe8qfL5C6tGlEPTs1z3EyRy9eTx+v22329bffeJWWzAznegNgS4NGnI2qjDPLkGpx2oLyxYC/b5nFPHimkFWv6f7mr9P1vm99SsOaDa7xW5RGpLo2x5YGXXHr0hkkSRfMunSCWuqCWddOsMIrcIU3QtIK73RzNxkyYSGlpaXR2LBgunD5X+oTEU1TRvag2jUq2pxrivBevnaDRg3snP31PD4+lDfQn+vchPBqxAnh1QhQcnMIr+QCCOgekiQAqqSUqKUk8AK7hfCKE95Xh8sR3u9nPBTelJRUqtasDyXEjaMypZ9TL3ZmXAJdu36Lpo3qlaPwXr95hyYN7yZw5hFBeDXihfBqBCi5OYRXcgEEdA9JEgBVUkrUUhJ4gd1CeN1beH//8wI1Dx5JpxKXUGCAn3qxG3Yepk07j1DCovE5Cu/aLfspf768VPSxgtTsnRrUrUNT7rMQwqsRqeUeXlunGui5JzXrcro2ma7xyjKbe5nMX5rBJam9JF72Avh+fd2h0ZScqu91dqs3me9FGDxbho+3wUfousPL8Nb5hnFdVOrIwcu6gPGJI3SrKoRXoPAOk7TCO/PhCu8P5/6gNj3H0/eHlpOXV+b3pp1JJ2jJ6h20Pd72qU9//n2JTGnpFODnSz/++hdFzl5BH3Z5jzq2asB1XkJ4NeKE8GoEaKu5zj+/IbwCamiREsIrjjEEjo0teEF42WaMmGgRD629agDhzVrhPb1vKfn5+arwlBXejTuO0CeLba/wWhJW5Pjzr87SsjkRXOFDeDXihPBqBAjhFQDQeCkhvOJqAoFjYwteEF62GSMmWoTwVgiXs8L73SyLPbxNe6vbF7L28M6IXUdX/71JM8b2dgjm3KUbSVn1jZ7Qz6F4R4MgvI6SyiHunbcmmn3FOyXNKtIr1fzfkp8qYJ0tLcM8j8k6z+qNQzSOFs0tCWAPr/vNCez7dJ+aopbuU8usK8GWhkwSQoR3qCThnW1+SsOgsTHk7e1FYwYH0+Wr16nXsFk0YWgoNahVmdLTM6hn+EwKad+YalV/TWUxac5KalT3DSpVsgT9cO5Pipi8iCYN767G8/xAeDXShPBqBCi5OYRXcgEEdA9JEgBVUkrUUhJ4gd1CeN1feJXV3LEzltHnX5+lfIEB1On9d6hPcAv1wk1paVSxQXeKDA+lNs3rqP82NWYNHTx2Wl0FLl6sCIW0C6L2Lepzn4UQXo1IIbwaAUpuDuGVXAAB3UOSBECVlBK1lAReYLcQXoHCO0TSCm+0a7wjAMKr8cZ29zethTSaqpEQe/MV+0ayN3KyBYTXSXCMzUIa6j+PGIeIcA8hsCJJv+8vHoKU6TIhvOKE97UwOcL77RwIL9NN4KrBEF7+lYPw8mcqOyOEV3YF0H8WAQiv3LkA4YXwypqBWOHVSB7CqxGgjeYQXv5MZWeE8MquAPqH8BpjDkB4BQrvYEkrvHOxwmuMu0vwKOo2mmbWQ55byVY9rtw13OzfPug83yom3c/8YH6f+9anNKxdN0jw1XheemxpcL+aY+h5LWMAACAASURBVN+n+9QUtXSfWmZdCYQXwitrVnvMCm+qKY2i5q6iPHl8aMzgLtm87z9IodHTltI3//cL3bh5h14sWYLCe7enGlXKqTHKERqz4hJoy56jlGoyUYNaVdSnCwP8M1+ZB+GVNXX59Avh5cPRSFkgSUaqhraxoJba+BmxNYRXnPBWHCRnhffMPKzwGuZeU467mDJ/NV2/cZtaNallJryK5C5atZ1aNq5JxYoWVsV28artdGjjXMqfL5ASth2k+PWJFDs1jPIG+tOwiXFUsXxpVYohvIYpsdMDgfA6jc6wDSFJhi0N88BQS2Zkhm8A4RUovAMlCe98CK/hbryZCxMoOSXVTHgtB5l1RtzGpZFU9qWS1HXQVGpQszIFtw1SQ4+cOEMTo+PpwIZo9f/fajfLLEXAFestDZYvjOjQNcaazX/vnM76gndKulWMd7LJYaZe6eYvsnC4oUWg9wPH+3S2D8t2GT76vlvYO9WaNa9rySmP5ctIRPcnO396QB7ZQ3Db/r0kzF/Xhsnne6NrMzAffbq/+9+fXhYvd5Jdv6QvJnAfQkUIb65MPWZLg0LBEeH99uyvFBo2nY5snqeu8NZpPYgmDe9GtWtUVEH+cf4SNe0cQacSl1BggB+El/stSwThFQBVckoIr7gCQHhZ2UJ4LYlBeFnnkPZ4EcL7+gA5K7zfxGCFV/uM4JzBnvDevfeAOvWbTE0bVKdend9Ve6/WtDfFRA2i6pXKqv9/6cp1qt82jI5ujaEihQs4JLy7944wu5JGrWdbXxlWeLOZQHg5T3wDpIPwiisChJeVLYQXwss6Z/jHQ3j5M7WXESu8/xFSZLd3RDSVfOZJdUXX6z8BVVZ4o0b0oJrVKji9wrthW7hZHVp1nAfhzWVmQnjt3bau93UIr7iaQXhZ2UJ4Ibysc4Z/vBDh7S9phXcBVnj5zxCNGXNa4VXe36zIbuUKL9HIAZ2yZVfpLnjgFGpYuyp1adNI7f3Q8dMUOTueDm+aq/4/9vBqLIqN5hBe/kxlZ4TwiqsAhJeVLYQXwss6Z/jHCxHefpKENxbCy3+GaMxoS3j/uXiVQgZPU09pCGnfOLuHPD4+5OfnS2s2J9HqTfspbppySkMADY1cSOVeLqmKsfJ5s4P5Q2t+N6zPz123ZqDZyG0/tGZ+cQkrBmi8WjR3hABOaXCEkmvF4Ml+16pXbqNFLd2nlllXglMaMkmUKBrIvbiVJAnvaQgv91o6nXD3gZM0ed5KevAghZTf7ZWHzcYPCaGgum/QgaNf08Cx1i+CaPduXRo/NITS0tJpeuw62r7vGJlMJqr3diX1HF5FfiG8TpfEMA0hvIYpBbeBQJK4oZSeCLWUXgLuA4DwChTevnJWeE8vxAov9xvFiAmxwmvEqjg+Jgiv46xcJRKS5CqVsj9O1NI+I1eLgPAKFN4+koQ3DsLravehU+OF8DqFzTCNILyGKQW3gUCSuKGUngi1lF4C7gOA8EJ4uU8qBxN61CkNDjJhCvvn2n2meFcLDmk4Rfchr0gapVufEF59UIcETdWnI4/sRd8Xtbg64hUWx0S6+vW42vghvOKEt3LvzBdi6f35etEQvbt0qj8Ir1PYHjaC8GoEaKM5hJc/U9kZIbwiKwDhZaEL4WWhxT8WwitQeD+UJLyLIbz87xQDZnRGeNv0ibW6Ep9k86NyPlnW34BX635Dwgqv+9UUfwZ3n5qilu5Ty6wrgfBCeGXNaqzwaiQP4dUIUHJzCK/kAgjoHpIkAKqklKilJPACu4XwihPeKr3krPB+tQQrvAJvGeOkhvAapxbOjATC6ww1Y7eBJBm7PiyjQy1ZaLlGLIRXoPD2lCS8SyG8rnH3aRwlhFcjQMnNIbySCyCge0iSAKiSUqKWksAL7BbCK1B4e0gS3o8gvAJvGeOkthTe5mMWWQ1u5+Teug+4SwvzN8A5OwBvk/Wb45zN5Wg7vV+Vuu7QaEpOTXd0eFziQutHccnjKkky8ni7ylBdb5x4Zo2tZvre6mxjkxS9Immkbj1DeMUJb1VJwnsKwqvb/SO1Iwgvf/wQXv5MZWeE8AqsAISXDS6E14oXhJdtCvGIFvFq4ard5azwnvoYK7w85oThc1gKb7Px1iu8uyLNV3jf72d9SsOm2H6Gv1Z3HCC2NLhfVfFncPepKWrpPrXMuhKs8Apc4e02W8qEObVsqJR+WTvFKQ2sxCziIbwaAUpuDuGVXAAB3UOSBECVlBK1lAReYLcQXoHCGypJeJdDeAXeMsZJDeE1Ti2cGQmE1xlqxm4DSTJ2fVhGh1qy0HKNWAivOOF9Q5LwfgnhdY2bT+soIbxaCcptD+GVy19E75AkEVTl5EQt5XAX2SuEV6DwhshZ4f1yBVZ4Rd4zhsntzLFkhhm8AwMJCZrmQBTfED1f/Qnh5Vu7nLLJmEf6XBl6cTUCen5/cTU2eowXwitQeLtKEt54CK8e9470PiC8/Eug5w8kCC//+tnKCOHVhzN6sU9Az+8v9kfjeREQXnHCW02S8H4B4fWMGxnCy7/Oev5AgvDyrx+EVx+m6MU5Anp+f3FuhO7dCsIrUHiD5azwfrESK7zufdf+d3UQXv5l1vMHEoSXf/0gvPowRS/OEdDz+4tzI3TvVhBegcLbRZLwroLwuvddC+EVVl89fyBBeIWV0SwxtjTowxm92Ceg5/cX+6PxvAgIrzjhrd5ZjvCeXA3h9Yg72XKF95251i+e2D/Y/quFWw1eaMZry9y+Vvw6dI1xmGmeu6kOx+YW6J2s/6uFKSODy9gdTeLzwORoKL84na+R38Cdy5Tu6+NcQ7SyT8ALr1qzD+lhhFcaXrVmycsj7k9vY90n+4+PY5m2DsVW7zzLoTjeQSdXh/NOKSQfXjyhESuEVyNAW811lkEIr4AaWqT0iB+o4jHa7gHCy0QewmuNyyPuT08Q3k6ShHcNhJfpm5CrBkN4BVQOwisAqtyUHvEDVRZiCC8TeQgvhJdpwggKFrHCW6OjHOH9fC2EV9A0MVZaCK+AekB4BUCVmxLCK5A/hJcJLoQXwss0YQQFCxHeDyQJ7zoIr6BpYqy0EF4B9YDwCoAqNyWEVyB/CC8TXAgvhJdpwggKhvAKAptLWuzh1cgcwqsRoK3mEF4BUOWmhPAK5A/hZYIL4YXwMk0YQcFChLeDpBXeBKzwCpomxkoL4RVQDwivAKhyU0J4BfKH8DLBhfBCeJkmjKBgEcL7Zns5wnviEwivoGlirLTu/uKJLi30v4FWbdPv5sE5vPrcT10bT9OnI/QCAnYIxCeOACOJBHAObyb8EkUDuVfhzXb6/7xWLuLEev1+ZmuBhi0NWugREYRXI0AbzSG8/JnKzgjhlV0B9J9FAMIrdy5AeEUK70wpxT2xfpiUflk7hfCyErOIh/BqBAjh5Q/QgBkhvAYsiocOCcIrt/AQXnHC+1ZbOcJ7fAOEV+5dpVPvEF7+oLHCy5+p7IwQXtkVQP9Y4TXGHIDwChTeNpKEdyOE1xh3l+BRQHj5A4bw8mcqOyOEV3YF0D+E1xhzAMIrUHjflyS8myC8xri7BI8CwssfMISXP1PZGSG8siuA/iG8xpgDEF5xwvu2JOE9BuE1xs0lehSWwltrbaxVl0c79hM9DKv8ndtEc+nTKy2DSx6WJBk+3izhmmM3bBtKyanpmvOwJAh5ZwpLuMvHZvj6uPw14ALchICXm1wHx8uI3x3BMVvuqSC8AoW3tZwV3mObscKr2w0ksyMIL3/6EF7+TGVnhPDKrgD6zyYA4bWaDBBe/e8PEceSvd1KkvBugfDqP4Mk9Ajh5Q8dwsufqeyMEF7ZFUD/EN6c5wCEV//7Q4Tw1pQkvJ9BePWfQDJ6hPDypw7h5c9UdkYIr+wKoH8IL4TXSHeBEOFtKWeF97OtWOE10twSNhYIL3+0EF7+TGVnhPDKrgD6h/BCeI10FwgR3hYzpFziZ9uGS+mXtVO8eIKVmEU8hFcjQBvNIbz8mcrOCOGVXQH0D+GF8BrpLhAivO9JEt7tEF4jzS1hY4Hw8kcL4eXPVHZGCK/sCqB/CC+E10h3gQjhrSVJeI9CeI00tcSNxd3P4Q1urv9vjCt36vfbYtGC/nTnfqrux5KJm5HGzNy16XRjDswdRpWh/9GBrowtfs8IVx6+y48dx5JlllCI8L6r/89r5VqO7tDvZ7aWGwBbGrTQIyIIr0aANppDePkzlZ0RwiuwAhBeJrgQXiZc3IMhvAKFV8IClSq8Oi5SaZmQEF4t9CC8GunZbg7hFYJValIIr0D8EF4muBBeJlzcgyG84oS3djM5K7yf7sIKL/cbxYgJscLLvyoQXv5MZWeE8AqsAISXCS6ElwkX92AIL4SX+6RyMCFWeB0ElVMYhFcjQBvNIbz8mcrOCOEVWAEILxNcCC8TLu7BEF6BwttU0grvbqzwcr9RtCRMNaVR1NxVlCePD40Z3MUq1a0796hb2HTq2ak5BdV9I/vr6ekZNCsugbbsOUqpJhM1qFWFIsNDKcDfT42B8Gqpiu22EF7+TGVnhPAKrACElwkuhJcJF/dgCK844a3TRM7DwUf2RHCfJyISesQK78Fjp2nK/NV0/cZtatWklpXwzvtoE21NPErXrt+imWP7mAlvwraDFL8+kWKnhlHeQH8aNjGOKpYvTeG923MV3uZjFpnVd+fk3lb1bj1gocNzwP9GmsOxuQX63E/lkocliZcpnSVce6yEh9y90iV0qp2U0xm80nWuqdMjdcGGQMtUtIw83kzxnhCc4e3l9pfpZbBfDPcfG8edeZ3GkoQ3EcLLvZhaE85cmEDJKak2V3iV3G17TaAeHZuZCW/XQVOpQc3KFNw2SO3+yIkzNDE6ng5siIbwai1IDu0hvILASkwL4RUIH8LLBBfCa40Lwss0hbgEixHeaVzGxprkSKJrHPXnESu8WcVzRnjrtB5Ek4Z3o9o1Kqpp/jh/iZp2jqBTiUsoMMCP25YGrPA+vMUgvKzfbowfD+EVWCMILxNcCC+El2nCCAoWIrxBkoR3L4RX0DRxPq0zwlutaW+KiRpE1SuVVTu+dOU61W8bRke3xlCRwgUohdOf32sMmGd2YZ/HDLK60NrBcxy+eGxpcBgVkYTdBdjSwFAfhOZOAMLLNEMgvBBepgkjKFiE8NZtJEd4D++D8AqaJs6ndUZ4lRXeqBE9qGa1CjZXeK/ceOD8gB5pGTQyzizP3ql9rPK+2zfW4b4gvA6jgvAyoHI2FCu8zpJzoB2E1wFID0MgvBBepgkjKFiI8DacKmi0uac9nDRSSr+snWJLwyPEbO3hDR44hRrWrkpd2jRSIw8dP02Rs+Pp8Ka56v/zOqUBWxoeFgJbGlhvY+PHQ3gF1gjCywQXwgvhZZowgoKFCO87koR3P4RX0DRxPq0zK7xrNifR6k37KW6ackpDAA2NXEjlXi5JIwd0gvA6X4pcW0J4BYGVmBbCKxA+hJcJLoQXwss0YQQFixHeKYJGa2eFd/8oKf2yduoRK7y7D5ykyfNW0oMHKep2TeVhs/FDQrJPY4iat4p2Hfic7ty9T/5+fuTr60PblkdRsaKFKS0tnabHrqPt+46RyWSiem9XUs/hVeSX5wova+H0iu/UPnMlW8/Pmk8G69Zd0YL+dOd+KiWnwhpEQg+W9MpLkddklNxGO27JKFxyGkf8btc4QsnoHJ0dH87hzSRXomigswhzbFevgRzhPXTAXHiv37xNY6cvo+Onvqf8+QLVv5Ar7ziw91FO0eo1bJYaFj+P/6qxRwivPchavs5rS4OWMYhsC+EVSddzckN4xdUawsvGFsLLxot3NIRXoPDWlyS8B82Fd8iEhZSWlkZjw4LpwuV/qU9ENE0Z2SP7tCtbc0pZXAybsIAuX7lO/v5+EF7eNx6PfBBeHhTNc2CFlz9T2RkhvOIqAOFlYwvhZePFOxrCK1B460XxLpdD+Q4dGp0dl5KSStWa9aGEuHFUpvRz6r/PjEtQX+w1bVSvHPONm7mMChbIR6VKlqCtiZ9BeB0ir3MQhJc/cAgvf6ayM0J4xVUAwsvGFsLLxot3NIRXoPDWlSS8hx8K7+9/XqDmwSOz31WgXO2GnYdp084jlLBovM3pNHfpRrp89bp6IpYiuxBe3ncdp3wQXk4gH0kD4eXPVHZGCK+4CkB42dhCeNl48Y6G8IoU3sm8y+VQvkOHx2TH/XDuD2rTczx9f2g5eXllvrJ6Z9IJWrJ6B22Pt95ysW3vMdp7+AuaP3kg5fHxoS17jkJ4HaIuIQjCyx86hJc/U9kZIbziKgDhZWML4WXjxTsawitOeOvXkSO8B488FN6sFd7T+5aSn5+verHKCu/GHUfok8XWK7yzF62nVRv3Ev0nx+np6ephAb6+eej49ljKG+jPbQrioTWNKCG8GgHaaA7h5c9UdkYIr7gKQHjZ2EJ42XjxjobwChTe2pKE99OHwqvu4W3aW92+kLWHd0bsOrr6702aMba33emEFV67iOQFGFV423dbwAWK740ULnlYknib0ljCNcd+sidC92PJgpvP0DxuJAABhYCnvaZaa9VxDq81wZXbh2nF6nB7CK9A4a01yeE68Aw8eHSsWbpBY2PI29uLxgwOVvfmKkeNTRgaSg1qVab09AzqGT6TQto3plrVX7MaBoSXZ2U454LwcgZKRBBe/kyR0X0JQHjZagvhhfCyzRgx0SLO4a1vEOFVVnPHzlhGn399lvIFBlCn99+hPsEtVJCmtDSq2KC7+j6DNs3rQHjFTC8xWSG8/LlCePkzRUb3JQDhZasthBfCyzZjxESLEN4GNSeKGaydrAc+GyelX9ZOsYeXlZhFPIRXI0AbzSG8/Jkio/sSgPCy1RbCC+FlmzFiooUI79uShPcYhFfMLDFYVggv/4JAePkzRUb3JQDhZasthBfCyzZjxEQLEd63JAnvcQivmFlisKwQXv4FgfDyZ4qM7ksAwstWWwgvhJdtxoiJFiK8b0aKGaydrAdO2H6hhJTB5NIptjRorIhRhbdtL06nNNxJ10iIvfnatQPZGznZomhBf7pzP1X3UxqcHK7LNgt+d6bLjt3oA/dK0/8eNTqT3MaHY8nkVg+nNGTyFyG870gS3v0QXrk3lV69Q3j5k4bw8mcqOyOEV1wFILxsbCG8bLx4R0N4BQpvjQm8y+VQvv2fy+nXocE9EoQVXlZiFvEQXo0AbTSH8PJnKjsjhFdcBSC8bGwhvGy8eEdDeAUKb3U54rn/pJx+WecmhJeVGIRXIzH7zSG89hm5WgSEV1zFILxsbCG8bLx4R0N4BQpvNTniuf8LOf2yzk0ILysxCK9GYvabQ3jtM3K1CAivuIpBeNnYQnjZePGOhvCKE96Gb8h5eCzpSzkPy7HOTQgvKzEIr0Zi9ptDeO0zcrUICK+4ikF42dhCeNl48Y6G8EJ4ec8pR/NBeB0llUMc9vBqBGijOYSXP1PZGSG84ioA4WVjC+Fl48U7GsIrUHiryjkPN+mUnPN/WecmhJeVmJ0V3l1XG1llbPb4Pru91Pk4zizmSPc+1nnGL7KbJysg8HKaw7G5Bfre4pOHZTDeJn2PWcrw9mIZHpdYnwcmLnlcJQmkTGCl0jIEJne/1F4Z4GVZ1XQ/H/crtMUVGe286v0C3k7WsIok4f0Kwuv2N5BygZYrvBBe7WWH8GpnaLQMEF6BFYHwMsGF8FrjgvAyTSEuwSKEt1FlOcK772sIL5dJYfQkEF7+FYLw8mcqOyOEV2AFILxMcCG8EF6mCSMoWIzwjhU02tzT7vt6kpR+WTvFlgZWYhbxEF6NAG00h/DyZyo7I4RXYAUgvExwIbwQXqYJIyhYiPBWkiS8pyG8gqaJsdJCePnXA8LLn6nsjBBegRWA8DLBhfBCeJkmjKBgIcL7+hhBo7WzwvvNZCn9snaKFV5WYljh1UjMfnMIr31GrhYB4RVYMQgvE1wIL4SXacIIChYivBUlCe8ZCK+gaWKstEY9lqz1gIVcQPnd1v+UhoQVA7iM3ZEkRQv60537qZScqu/JEI6MzZ1iurSY5U6XY6hrMdrT54aCY2MwK3cMM/oQ3Xp8OJYss7wligZyr3PQa3KEd++3EF7uxTRiQggv/6pAePkzlZ0RwiuuAhBeNrYQXjZevKMhvCKFdzTvcjmUb++3UQ7FyQ7ClgaNFYDwagRoozmElz9T2RkhvOIqAOFlYwvhZePFOxrCK1B4K0gS3u8gvLzvE0Pmg/DyLwuElz9T2RkhvOIqAOFlYwvhZePFOxrCK1B4Xx3Fu1wO5dv7/RSH4mQHYYVXYwUgvBoBYoWXP0ADZoTwiisKhJeNLYSXjRfvaAivOOFtXF6O8Cb+H4SX931iyHwQXv5lwQovf6ayM0J4xVUAwsvGFsLLxot3NIRXoPCWkyS8ZyG8vO8TQ+aD8PIvC4SXP1PZGSG84ioA4WVjC+Fl48U7GsIrUnhH8i6XQ/kSz051KE52ELY0aKyApfBevFvFKmPxfF9p7IW9ecuhceyNbLQIvGzikoclic+9VJZwzbEbtofrfixZcLMZmsftSgky8ni70nBdaqw445itXBm+PmwNPCB61Zahul0lhFeg8JaVJLw/QHh1u4FkdgTh5U8fwsufqeyMEF5xFYDwsrGF8FrzgvCyzSEe0SLO4W1cZgSPoTHnSPxxGnMbGQ2wwquROoRXI0AbzSG8/JnKzgjhFVcBCC8bWwgvhJdtxoiJFiK8r0SIGaydrIk/TZfSL2unEF5WYhbxEF6NACG8/AEaMCOEV1xRILxsbCG8EF62GSMmWojwvjxczGDtCe/PrrFFD8KrcXpAeDUChPDyB2jAjBBecUWB8LKxhfBCeNlmjJhoIcL7kpzXZieemykGEuesEF6NQCG8GgFCePkDNGBGCK+4okB42dhCeCG8bDNGTLQQ4S0tSXh/gfCKmSUGywrh5V8Q7OHlz1R2RgivuApAeNnYQnghvGwzRky0EOEtFS5msHayJv46S0q/rJ1ihZeVmEW8Uc/hfW8En2PJAq6laSTE3nz90v7sjZxsUbSgP925n6r7sWRODhfNHCDwROEA+vd2MpnSMhyIRoiRCaCWRq6Oc2PDsWSZ3IQI74v6HS/3aPUTf5vt3GTQuRWEVyNwCK9GgDaaQ3j5M/WkjJAk96k2auk+tcy6EgivSOEdImXCJP4WLaVf1k4hvKzEsMKrkZj95hBe+4wQkTMBSJL7zA7U0n1qCeE1r6WQFd4XwqRMmMTf50jpl7VTCC8rMQivRmL2m0N47TNCBITXE+YAhNf9qowVXoErvM8PljJhEv83V0q/rJ1CeFmJQXg1ErPfHMJrnxEiILyeMAcgvO5XZQivQOEtKUl4/4DwGupOTTWlUdTcVZQnjw+NGdzFbGzf//Q7TZi1gn75/TyVKP44jRzQiWpVf02NSU/PoFlxCbRlz1FKNZmoQa0qFBkeSgH+furXsYeXf5khvPyZelJGSJL7VBu1dJ9aZl0JhFec8AY9N0jKhNn75zwp/bJ26hErvAePnaYp81fT9Ru3qVWTWmbCm5pqoqCOw+iDlg2ofYv6dOT4NzRxzkrau24mFSlcgBK2HaT49YkUOzWM8gb607CJcVSxfGkK793epvAWT61oVYOLvmfs1uXtLQvMYo61sj6poMH8RXbzZAXkveRwaK6BAVf1P6XB97b+ffKh5XiWPHeSHQ92h0gcmCCuil7iUrtl5nRMRqu6ern/JMrwNtY1HvhsLPfbK+jZgdxzOpJw71/zHQmTHuMRwptFeebCBEpOSTUT3i9O/0iDxs6nY9tjyfu/G6LdhxOoQ4v61Lppbeo6aCo1qFmZgtsGqWmOnDhDE6Pj6cCGzKcSLVd4Ibza5zSEVztDw2WAY4gribF+jou7Tl6ZIbzWJCG8vGaXw3mECO8zAxzun2fg3vMxPNMJy+Xxwrt++yHatOtT+mTx+GzIwyctoieLFaGhvdtRndaDaNLwblS7RubK7R/nL1HTzhF0KnEJBQb4QXgFTE0IrwCoslNCeMVVAMLLxhbCC+FlmzFCooUI79P6nWH/KJS9f5v/hVoIMA5JPV544zfspQNHv6KV80dl4xw3cxn55slDY8OCqVrT3hQTNYiqVyqrfv3SletUv20YHd0ao255SLM43N7ryitWZcko9pPdUpVebv6mkl9Crd+Y8upExzeGY0uDXeRSA7ClQSp+9+ocwstWTwgvhJdtxgiJFiK8JfoJGau9pHv/ibUXYoive7zwKiu8WxI/o3ULH+6nUVZ4nyj2mLpPV1nhjRrRg2pWq2Bzhffi9ftmhXwi2XoP72V/+3t439xk/hvSifetf1OrNxd7eA1x13AYBISXA0SkyCQA4WWbCRBeCC/bjBESLUR4n+orZKz2ku69sNBeiCG+7vHCe/L0DxQ2bgEd276AvP7bx9Sm53hq36IetW1el4IHTqGGtatSlzaN1IIdOn6aImfH0+FNmaut2MPLfx5jSwN/ptIzYkuDuBJAeNnYQnghvGwzRki0EOEtLkl4L0J4hUwSLUltPbSWkpJKDTuEqw+ltXu3Ln168lsaN2MZJa6dQcWKFqY1m5No9ab9FDdNOaUhgIZGLqRyL5dUjy6D8GqpRs5tIbxiuErNCuEVhx/Cy8YWwgvhZZsxQqKFCO+TfYSM1V7SvZfi7IUY4usescK7+8BJmjxvJT14kELKz13lYbPxQ0IoqO4bahHOnP1VPXnhl9//phLFi9Kwvh9Q/bcrqV9LS0un6bHraPu+Y2Qymaje25XUc3gV+bUlvIaoKhE1neD49ofcxhx4Rf8jwjbF6rcPqWhBf7pzP5WSU9ONUjqMQyMBnN2qEaCBmqOWBioGp6HgHN5MkCJeLRz0RG9OVWJLs/cyH99g65U92iOElx2L4y2M+uIJCK9jNYTwOsbJlaIgSa5UrdzHilq6Ty2zrgTCK1B4i30oZcLsvbJYSr+snUJ4WYlZxEN4z+9L1QAAGjVJREFUNQK00RwrvPyZelJGSJL7VBu1dJ9aQnjNaylihbdRsV5SJsy+K0uk9MvaKYSXlRiEVyMx+80hvPYZISJnApAk95kdqKX71BLCq4PwPt5TyoTZd3WplH5ZO4XwshKD8GokZr85hNc+I0RAeD1hDkB43a/K2NKQWVMhK7xFe0iZMPuufSSlX9ZOIbysxCC8GonZbw7htc8IERBeT5gDEF73qzKEV6DwFpEkvP9CeN3vTrVxRdjDy7/MEF7+TD0pIyTJfaqNWrpPLbOuBMIrUHgf6y5lwuy7/rGUflk7xQovKzEXWeFtMonPMSGBV/Q/rsv3tr59bl09UPdjybq0NH+VtMZpaPjmGT7ehh+jqw7QC+fKMpUuwwcHF1sCW71xCBNDLcEQXoHCW7ibltI43XbfjWVOt9WzIYRXI22jrvBCeB0vLITXcVbORkJ4nSVnvx2E1z6jRyMgvNa8ILxsc4hHtJA9vIVCeQyNOce+m8uZ28hoAOHVSB3CqxGgjeZY4eXPVHZGCK+4CkB42dhCeCG8bDNGTLQQ4S0YImawdrLuu7VCSr+snUJ4WYlZxEN4NQKE8PIHaMCMEF5xRYHwsrGF8EJ42WaMmGghwlugq5jB2hPe2/FS+mXtFMLLSgzCq5GY/eZY4bXPyNUiILziKgbhZWML4YXwss0YMdFChDd/sJjB2hPeOyul9MvaKYSXlRiEVyMx+80hvPYZuVoEhFdcxSC8bGwhvBBethkjJlqI8OaTJLx3IbxiZonBsrr7lgbfuxm6E98+rY9ufRYt6E937qfqfkqDbhfogR3hKCv3KTpq6T61zLoSnNKQSUKE8DbM20XKhEm6t0pKv6ydYoWXlZiHrfBCeDVOEDTXnQAkSXfkwjpELYWhlZYYwitQeAM7S6lr0v3VUvpl7RTCy0oMwquRmP3mWOG1zwgROROAJLnP7EAt3aeWWOE1r6WQFd6ATlImTNKDNVL6Ze0UwstKDMKrkZj95hBe+4wQAeH1hDkA4XW/KmOFV+AKb0BHKRMm6cFaKf2ydgrhZSUG4dVIzH5zCK99RoiA8HrCHIDwul+VIbwChdf/AykTJil5nZR+WTuF8LISg/BqJGa/OYTXPiNEQHg9YQ5AeN2vyhBegcLr10HKhElKSZDSL2unEF5WYhBejcTsN4fw2meECAivJ8wBCK/7VRnCK1B4fdtLmTBJqZ9I6Ze1UwgvKzGJwvv2xgUOjzbfb3kcjs0tMPCK/seS+d9I4zJ2R5PkuZfuaCi3OO8HJm65XCFRhreXKwzTJcfocz/VJccta9A4E9qafLqfj6xy6Nav0c6rPnh4NPdrb5hHkvCaILzci2nEhHqewwvhFTMDILxiuD6aFcIrjjGEl40thBfCyzZjxEQLEV6fdmIGaydrUtp6Kf2ydooVXlZiFvEQXo0AbTTHCi9/prIzQnjFVQDCy8YWwgvhZZsxYqKFCK93WzGDtSe86Ruk9MvaKYSXlRiEVyMx+80hvPYZuVoEhFdcxSC8bGwhvBBethkjJlqE8IoZqftkhfBqrCVWeDUCxAovf4AGzAjhFVcUCC8bWwgvhJdtxoiJhvCK4ZpbVgivRuYQXo0AIbz8ARowI4RXXFEgvGxsIbwQXrYZIyYawiuGK4RXIFc9hZflMhrOXsQSnmOs3y0uaZiS7IrszRSvJbhoQX+6cz+VklP1P6lBy7jRNmcCOMrKfWYHauk+tcy6EhxLlklCxKuF3W+28L0irPBq5Anh1QjQRnMIL3+mnpQRkuQ+1UYt3aeWEF7zWkJ49Z/bEF6NzCG8GgFCePkD9PCMkCT3mQCopfvUEsIL4ZU9myG8GisA4dUIEMLLH6CHZ4Qkuc8EQC3dp5YQXgiv7NkM4dVYAQivRoAQXv4APTwjJMl9JgBq6T61hPBCeGXPZgivxgpAeDUChPDyB+jhGSFJ7jMBUEv3qSWEF8IrezZDeDVWAMKrESCElz9AD88ISXKfCYBauk8tIbwQXtmzGcIruwLoHwRAAARAAARAAARAQCgBCK9QvEgOAiAAAiAAAiAAAiAgmwCEV3YF0D8IgAAIgAAIgAAIgIBQAhBeoXiRHARAAARAAARAAARAQDYBCK/sCqD/XAlsTfyMJs9dSampadTsnRo0ZWRPu8SGRi6kV195gUI7NLGKvf8ghUZPW0rf/N8vdOPmHXqxZAkK792ealQplx27be8xilm2ma7+e5MqlHmRokZ0p+eeflL9uvLvuw+cpItX/qViRQpRcNsg6vx+Q7N+bt25R93CplPPTs0pqO4bdsfrKQHO1JKFjb3apqdn0Ky4BNqy5yilmkzUoFYVigwPpQB/P7u1Pff7eZoyfzX9/Nt5Sk01UeUKL9GYwcH0zFPFWIbodrFjZyyjPQc/pwfJqTRpeDdq1aSW3WvUcn+ihnbxOh3gTC1ZOrN3D+VWW3v39vkLV9SfEz+c+5Nu3r5LJZ95kgZ2e58a1KrMMkTEujkBCK+bF9hdLi968XpVQLUKryK5i1Ztp5aNa1KxooVV+Vm8ajsd2jiX8ucLpF9+/5va946kuRP702tlS9HC+K30zfe/0CeLx6soZy36hGpXr0ilni9BZ3/+Hw0aG0MLp4VRjcqZwjzvo020NfEoXbt+i2aO7QPhtTEBWWrJMn/t1TZh20GKX59IsVPDKG+gPw2bGEcVy5dWf+GxV9vPvz5LP//6F9V963Xy8/Ol6QvW0tV/b9GqmFEsQ3Tb2A59JlL79+ppFl7UUP4UYakly2jt3UO53Z/25sXvf16g//vpf1Spwkvqva18X4+L30Yndy0ib28vlmEi1o0JQHjduLjudGmPStKZs7/S4HExqqRmfZp1GUFjBnWhN6uWp9xWkCyZmNLSqGKD7rRxaSSVfakkxS7fQj/+8ifFRA1SQ2/fuUdvvdePdq+eTs+WeMIKaZcBU+id2lWoa9sgs6+17TWBenRsBuG1I7z37idT5/6T6a9/rlBGRjqVfel5Gj+kK5V+4WlSVoQ69ZtMfUNa0trN+9VaBLcLoj7BLRya2pa17TpoKjWoWVldlVc+R06coYnR8XRgQ7TNfDnVVglWfngPHDOfvti9yKGxuHvQo5K0dM1O9RfH6WM+VC9b+UW1TutBdObAx5THx0fT/Ykaip9Jj9ZS+UvYyClL6OKV6xTo76d+f1VW8vMGBmi+Py3vIZbaWt7bj1K5c/c+rdy4j7468xN9HD1cPDD04DIEILwuUyrPHqgo4f327K8UGjadjmyep67whk+Mo+JPFMle9VOo131/sPpNvlb118yKoPyZrUG7MJo9rq/6g+DRD4Q35/n6aC1TTWmk1KD080+rK6cbdhyiQ8dP0/I5I9QfqC1Dx6i/TLzfrDb9c+lf6jsymnatmk7PPW39y4dlj5a1VaRLqWPtGhXV0D/OX6KmnSPoVOISCgzI3NaQ9cmttkrMR2t30eHj39DqBaM9+8b87+pFCS9qqP/0erSWV67dUP9apdxvKSkmmjxvlboNrG/XFprvT8t7iOX+tJwXWZSUBYuF8duoQpkXaNH0oVS4UH79AaJHwxKA8Bq2NBjYowRECO/dew/UFcSmDapTr87vqt31HzWPypR+jvp3a5XdfZNOw2lwzzYUVLeaWVFGT/uILl+9QUtmDiUvL/M/m0F4HRNeJWpn0gnaffBzOvf733Tv/gPy8famT7fMV3+gdu4fRSd3xWUnUwR1RP+O2dKaUy+2alutaW915b56pbJqs0tXrlP9tmF0dGsMFSlcwOHaKuNSVn8XRA2iqhVfwY1KRCKEFzWUM7UerWVySiqt3LCXPv38DP1z8RrdvntP/cV/9vi+mu5PW/eQo/enrXnxKCnl68sSdqu/kK5fPIF8fLzlgESvhiMA4TVcSTAgWwR4C6/yTbF3RLT6cIOy6pclrMoK79PFH6ewXm2zh6Gs8E4cFmomWdNj19EXp3+gFXNHUIH8ea2GDOF1THh37j9BMxcm0MRh3ahapbJ0/sJlUv60eXx7rM0fqArX3l3ey/VhlJxqq6wgRY3oQTWrVVAHl9MKb261/e3PC+oDiYN6vO/QflVPuZt5Cy9qKG/mPFrL8bOW07nfztPYsGB66cVn6JNth+jLb35Un3Gw9QupI/dnTveQI/dnTvPCktaD5BSqEtSLtsdPoVIlS8iDiZ4NRQDCa6hyYDA5EVAk5O69+6oYKQ+L9Rg6k47viM0OZ9nDq+wpVGRXedJ+5IBOZquzC5ZtoZ9++4tiJg9Ucyv7Rt98tx/tWjVNlWNl79j4mcvpz78v0cKpYTZlV2kH4c15Lj9ay3Ezl1GhAvlpaO92agPlh6gW4c2ttsEDp1DD2lWpS5tGal/K1onI2fF0eFPmXnB7tVX2jiv7diP6dVT/KoDPQwLv9xhHoe2bUPOGb9KK9Yl0+rtzNG/SADWAdQ8vaih3Zj1aS+WvW6MGds7ezrVm835NwpvbPWTv/sxtXlgSU7Zh1G41kPYlzFIXMPABAYUAhBfzwLAELlz+l/z9fOnO3XvqVoP2LepRp9YNSTn2S/lmNjmiu/qg2Y59x2l5wh5aNH2I3YfW/rl4lUIGT1NPaQhp3zj72pWHaZQ9pMoDax37TlL/9P2qsg9s5XY6+fVZ2vzxJFWIFFFWxqT0rfxXvYm8vK32gEJ4zadVTrVUHnA6cPQrmjW+LymrN7MXfULf//S7Uyu89mq7ZnMSrd60n+KmKac0BKgPT5V7uaT6S4+92h49+R2NmrqEIod1oxqVM7dEKB9lzihzxxM///vrIhV5rCD98vt56jZkBn2yaDy9UupZOnryW4qIWkyLZ4QTZWTQx+t2U9Knpxx6aA01lDOTcqplz/BZ9EyJYtQvpCX99Otf6tFfr5R6zqkVXnv3UG73p/15sZ8yMjLUv954e3vTzIXr6Or1W7Q2dozVdjM5hNGrEQhAeI1QBYzBJoG1Ww6o56YqYvlO7ao0LiyYfH3zqLHrdxym+R9tIl9fH2rTrA5t33ecJgwNsSu8B45+TQPHzrfqr927dWn80BD13zft+pQWrthK167fpFfLvKhueXjhuadU0X6zeV+rts8/W1xdAVY+UfNW0a4Dn5PypLC/n586vm3Lo9Qj0Dz5k1MtFckdNimOPv/qLD1T4glqVLsqrd263ynhtVfbtLR0UlaXt+87RiaTieq9XUk9h1eRX3u1nRqzhlZvSrIqoXL0nKeu9irbf5KOnKIijxWg7h80yz6PWhGPCbNXqOdVP/VEEWr3Xj1S+DlySgNqKOe7RE61VE7bUO5PZftPxfKl1JNqbt2+55Tw2ruHcrs/7c2L46e+p4UrttEv//ubvL28qEaV8jRyQEeP/74rZzYZt1cIr3Frg5GBAAiAAAiAAAiAAAhwIADh5QARKUAABEAABEAABEAABIxLAMJr3NpgZCAAAiAAAiAAAiAAAhwIQHg5QEQKEAABEAABEAABEAAB4xKA8Bq3NhgZCIAACIAACIAACIAABwIQXg4QkQIEQAAEQAAEQAAEQMC4BCC8xq0NRgYCIAACIAACIAACIMCBAISXA0SkAAEQAAEQAAEQAAEQMC4BCK9xa4ORgQAIgAAIgAAIgAAIcCAA4eUAESlAAARAAARAAARAAASMSwDCa9zaYGQgAAIgAAIgAAIgAAIcCEB4OUBEChAAARAAARAAARAAAeMSgPAatzYYGQiAAAiAAAiAAAiAAAcCEF4OEJECBEAABEAABEAABEDAuAQgvMatDUYGAiAAAiAAAiAAAiDAgQCElwNEpAABEAABEAABEAABEDAuAQivcWuDkYEACIAACIAACIAACHAgAOHlABEpQAAEjENgy56jNGb6xzYHFD2hHwXVfYPLYNv2mkAvPvcUTR/zoaZ8fUbMoaeLP05jBnfJznP4+DfUb9Rc2rNmOj339JOa8qMxCIAACIAAEYQXswAEQMCtCCjCGzl7BcXPH2V1Xc8/U5wKFczH5XqPnvyW8ucLpEqvvqQpny3hvXTlOn1x+gdqUKsy5Q0M0JQfjUEABEAABCC8mAMgAAJuRkAV3uh4+ibpI5tX9u3ZX6nLgCkU0b8jdWzVQI25fvM2tQwdQx1a1qc+wS1o0crtlPTpKXov6G1atXEfXf33JlV7vQxNGdmTHi9SSG3Ta9gseuG5p2jkgE7q/3cfMoNKPf80FcgfSBt2HKabt+7Sl3sW0fhZK1R5vXbjFhXIF0jVK5ejEf07qnkmz11F67YeMBvnqphR5OPjQx37TqITOxdSwfx51a9//d05mhmXQD+c+0P9t3cbvUWDe7Yl3zw+2f0/98yT6tc27/6U0tLSqWmDGur4fHy83azKuBwQAAEQYCOAFV42XogGARAwOIEs4T2VuNhqpD7e3uTl5UUfr9tNC5ZvoQ2LJ1DpF55Wtw+kpJho8Yyh5O3tpQpvzLLNVLtGRWr2Tg3KSM+gOUs3UIUyL9K8SQNyFN4vz/xI9d6qRE3qVyeTKU3979ylG+nVMs9TyWeK07Xrt2j6grWqKCt57t57QAPHzqennihKg3u2UfMWKpifzv78PzPhVVZ8m3aOoPeb1aHWTWvRP5eu0eS5K6lJveo0rG+HbOE9efoHatm4JjWsXZX+OH+RZi9aT5HDQtV/wwcEQAAEPJkAhNeTq49rBwE3JODIHt6MjAz6cPhsunLtBrVoXJNWbthLmz6aSI8VKqASyVrhVf4t65N46AsKnxhHJ3bEUoH8eW2u8JYo/jhNGt4tV6obdx6h+R9vok+3zFfjbG1pOHP2VzPhnbXoEzr+5fe0+eNJ2bn3HTlFwyfF0fEdseq2B2WF+cWST9HoQQ/3AoeGTaOSTxenCeEhblhpXBIIgAAIOE4Awus4K0SCAAi4AIGsPbyrY8dYjfbZEk9QoQKZe3iV1dbW3ceq2xni540024urCO+Bz76mDUsmZOf48+9L1KRThCqdr5R61qbwlin9XPaKa1bD73/6nT7Zdkhdtb15+6661SEjI51OJS5xWHh7R8ymJ4sVocjw0OzxKKu+9duG0calkVT2pZKq8Fr2P2xSHKWnZ9Ds8X1doHIYIgiAAAiIIwDhFccWmUEABCQQsLeHN2tIiugqwnvl2k1aOHWwun0h62NLeH/94x96r+sodSVYEUtbe3gthfO7H36jzv2jqHnDN6lxver0xOOF6dSZn2jOkvWahffilX+pQdshuQpvxOTFZEpLg/BKmIfoEgRAwFgEILzGqgdGAwIgoJGAI8KrbGnoMyKa/Px86ZUXn6W1Ww/Q5o8m0ZPFHlN7tyW863ccppkLE+izbTHk7+frkPAujN9Gew58TjtWTs2+qr2Hv6TR05ZmC2/Y+AXqFomJwx5uhbDc0qA8rKZsadiybLJZnuGTFtGJnQ+3NFgKN4RX42RCcxAAAbchAOF1m1LiQkAABBQCWVsals2JsALy4nMlqHCh/LR0zU5as3k/bV02mfLnD6TO/SaTv78fLYuOUE80UIR3zeYkGt73Ayr5zJP0029/UfSi9dTtg6bUs1NzNa8jK7zKvt8RUYtp1KAu9NzTT9CP5/6klRv30q3bd7OFN3b5FlJkek5kPzWvcu7u3xevmu3hVVZzm3aKoDbNlYfWatOFy9do0pyVFFS3GkX0+0BtZ2tLA4QX9wQIgAAIZBKA8GImgAAIuBUBew+tFStamEIHT6NF04fQm1XLq9f+x/lL9H6PsRTSrgn179ZKFd6EbQfp+WeLk7ItIW+gPwW3DaIeHZuppzw4KrzKSrLywNmW3Ucp1ZRGb1UtT6+WeYEWr9qeLbzKnt6IqEX05Tc/UWCAP300exglp6RaHUumbIVQcv147g91Rfjdhm9RWK+25OubB8LrVjMYFwMCICCCAIRXBFXkBAEQcGkCtrY0uPQFYfAgAAIg4OEEILwePgFw+SAAAtYEILyYFSAAAiDgXgQgvO5VT1wNCIAABwIQXg4QkQIEQAAEDEQAwmugYmAoIAACIAACIAACIAAC/AlAePkzRUYQAAEQAAEQAAEQAAEDEYDwGqgYGAoIgAAIgAAIgAAIgAB/AhBe/kyREQRAAARAAARAAARAwEAEILwGKgaGAgIgAAIgAAIgAAIgwJ8AhJc/U2QEARAAARAAARAAARAwEAEIr4GKgaGAAAiAAAiAAAiAAAjwJwDh5c8UGUEABEAABEAABEAABAxEAMJroGJgKCAAAiAAAiAAAiAAAvwJQHj5M0VGEAABEAABEAABEAABAxGA8BqoGBgKCIAACIAACIAACIAAfwIQXv5MkREEQAAEQAAEQAAEQMBABCC8BioGhgICIAACIAACIAACIMCfAISXP1NkBAEQAAEQAAEQAAEQMBABCK+BioGhgAAIgAAIgAAIgAAI8CcA4eXPFBlBAARAAARAAARAAAQMRADCa6BiYCggAAIgAAIgAAIgAAL8CUB4+TNFRhAAARAAARAAARAAAQMRgPAaqBgYCgiAAAiAAAiAAAiAAH8CEF7+TJERBEAABEAABEAABEDAQAQgvAYqBoYCAiAAAiAAAiAAAiDAnwCElz9TZAQBEAABEAABEAABEDAQAQivgYqBoYAACIAACIAACIAACPAnAOHlzxQZQQAEQAAEQAAEQAAEDEQAwmugYmAoIAACIAACIAACIAAC/AlAePkzRUYQAAEQAAEQAAEQAAEDEYDwGqgYGAoIgAAIgAAIgAAIgAB/AhBe/kyREQRAAARAAARAAARAwEAEILwGKgaGAgIgAAIgAAIgAAIgwJ8AhJc/U2QEARAAARAAARAAARAwEAEIr4GKgaGAAAiAAAiAAAiAAAjwJwDh5c8UGUEABEAABEAABEAABAxEAMJroGJgKCAAAiAAAiAAAiAAAvwJQHj5M0VGEAABEAABEAABEAABAxGA8BqoGBgKCIAACIAACIAACIAAfwIQXv5MkREEQAAEQAAEQAAEQMBABCC8BioGhgICIAACIAACIAACIMCfwP8DjwbfApsamWkAAAAASUVORK5CYII="
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = go.Figure(\n",
" data=go.Heatmap(\n",
" z=heatmap_data.values,\n",
" x=[str(c) for c in heatmap_data.columns],\n",
" y=heatmap_data.index,\n",
" colorscale=\"Viridis\",\n",
" colorbar=dict(title=\"IV\"),\n",
" )\n",
")\n",
"\n",
"spot_float = float(spot)\n",
"fig.add_hline(y=spot_float, line_dash=\"dash\", line_color=\"white\")\n",
"fig.add_annotation(\n",
" y=spot_float, x=0.95, xref=\"paper\", text=f\"Spot: ${spot_float:.0f}\", showarrow=False\n",
")\n",
"\n",
"fig.update_layout(\n",
" title=f\"AAPL Option Chain - Implied Volatility Surface ({sample_date})\",\n",
" xaxis_title=\"Expiration\",\n",
" yaxis_title=\"Strike ($)\",\n",
" height=600,\n",
")\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "307f4d60",
"metadata": {
"papermill": {
"duration": 0.003813,
"end_time": "2026-06-13T02:33:03.673059+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:03.669246+00:00",
"status": "completed"
}
},
"source": [
"**Reading the heatmap:**\n",
"- Horizontal slice at one strike → Term structure (how IV varies with expiration)\n",
"- Vertical slice at one expiration → IV smile/skew (how IV varies with strike)\n",
"- Darker colors (lower IV) typically at ATM; lighter (higher IV) at wings"
]
},
{
"cell_type": "markdown",
"id": "b4a8677f",
"metadata": {
"papermill": {
"duration": 0.003786,
"end_time": "2026-06-13T02:33:03.680601+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:03.676815+00:00",
"status": "completed"
}
},
"source": [
"## 4. Volatility Surface Analysis\n",
"\n",
"The **implied volatility surface** is the core representation for options analytics.\n",
"It captures how IV varies across two dimensions:\n",
"1. **Moneyness** (strike relative to spot) → IV smile/skew\n",
"2. **Time to expiration** → IV term structure\n",
"\n",
"### 4.1 IV Smile and Skew"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "6e279ae1",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:03.688947Z",
"iopub.status.busy": "2026-06-13T02:33:03.688840Z",
"iopub.status.idle": "2026-06-13T02:33:04.260945Z",
"shell.execute_reply": "2026-06-13T02:33:04.260545Z"
},
"papermill": {
"duration": 0.576807,
"end_time": "2026-06-13T02:33:04.261275+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:03.684468+00:00",
"status": "completed"
}
},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Moneyness (Strike/Spot)=%{x}<br>Implied Volatility=%{y}<extra></extra>",
"legendgroup": "",
"marker": {
"color": "#636efa",
"symbol": "circle"
},
"mode": "markers",
"name": "",
"orientation": "v",
"showlegend": false,
"type": "scatter",
"x": {
"bdata": "E68YdRK47D/zYAOu2vXsP9MS7uaiM+0/s8TYH2tx7T+TdsNYM6/tP3MorpH77O0/U9qYysMq7j8zjIMDjGjuPxI+bjxUpu4/8u9YdRzk7j/SoUOu5CHvP7JTLuesX+8/kgUZIHWd7z9ytwNZPdvvP6k098iCDPA/mY1s5WYr8D+J5uEBS0rwP3k/Vx4vafA/aZjMOhOI8D9Z8UFX96bwP0lKt3PbxfA/OaMskL/k8D8o/KGsowPxPxhVF8mHIvE/CK6M5WtB8T/4BgICUGDxP+hfdx40f/E/2LjsOhie8T/IEWJX/LzxP7hq13Pg2/E/qMNMkMT68T+YHMKsqBnyP0jZDDsdtPI/95VXyZFO8z8=",
"dtype": "f8"
},
"xaxis": "x",
"y": {
"bdata": "Y3/ZPXlY3D/AeAYN/RPcP1uxv+yePNo/xuHMr+YA2T9Qqn06HjPYPx2s/3OYL9c/XVDfMqfL1j9NMnIW9rTVP2cPtAJDVtU/PSzUmuYd1T83N6YnLPHUP42XbhKDwNQ/fzDw3Hu41D/LEMe6uI3UP5T7HYoCfdQ/AJF++zpw1D8HsTOFzmvUP8/3U+Olm9Q/lYJuL2mM1D9D4h5LH7rUP8vz4O6s3dQ/5x2n6Egu1T+CVmDI6lbVP8i1oWKcv9U/r7FLVG8N1j/jpZvEILDWPz0s1JrmHdc/MZkqGJXU1z8SMSWS6GXYP/AzLhwIydg/e4hGdxA72T9vKlJhbCHaP1ABMJ5BQ90/Ja/OMSB74D8=",
"dtype": "f8"
},
"yaxis": "y"
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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# IV smile for nearest expiration\n",
"nearest_exp = aapl_calls[\"expiration\"].min()\n",
"aapl_smile = aapl_calls.filter(pl.col(\"expiration\") == nearest_exp).sort(\"strike\")\n",
"\n",
"fig = px.scatter(\n",
" aapl_smile.to_pandas(),\n",
" x=\"moneyness\",\n",
" y=\"implied_vol\",\n",
" title=f\"AAPL IV Smile - Nearest Expiration ({nearest_exp})\",\n",
" labels={\"moneyness\": \"Moneyness (Strike/Spot)\", \"implied_vol\": \"Implied Volatility\"},\n",
" trendline=\"lowess\",\n",
")\n",
"fig.add_vline(x=1.0, line_dash=\"dash\", line_color=\"gray\")\n",
"fig.add_annotation(x=1.0, y=0.95, yref=\"paper\", text=\"ATM\", showarrow=False)\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "9339d722",
"metadata": {
"papermill": {
"duration": 0.004667,
"end_time": "2026-06-13T02:33:04.270786+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:04.266119+00:00",
"status": "completed"
}
},
"source": [
"**IV Smile/Skew interpretation:**\n",
"- **Smile**: IV higher for both OTM puts (left) and OTM calls (right) vs ATM\n",
"- **Skew**: Asymmetric - OTM puts typically have higher IV than OTM calls\n",
"- **Why?** Demand for downside protection (crash insurance) exceeds upside speculation"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "34df4a27",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:04.281036Z",
"iopub.status.busy": "2026-06-13T02:33:04.280713Z",
"iopub.status.idle": "2026-06-13T02:33:04.352574Z",
"shell.execute_reply": "2026-06-13T02:33:04.352172Z"
},
"papermill": {
"duration": 0.077513,
"end_time": "2026-06-13T02:33:04.352939+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:04.275426+00:00",
"status": "completed"
}
},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "expiration=2021-01-08 00:00:00<br>Moneyness=%{x}<br>Implied Volatility=%{y}<extra></extra>",
"legendgroup": "2021-01-08 00:00:00",
"marker": {
"color": "#636efa",
"symbol": "circle"
},
"mode": "markers",
"name": "2021-01-08 00:00:00",
"orientation": "v",
"showlegend": true,
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"title": {
"text": "Implied Volatility"
}
}
}
},
"image/png": 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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Compare smile across multiple expirations\n",
"expirations = sorted(aapl_calls[\"expiration\"].unique().to_list())[:4] # First 4\n",
"\n",
"smile_data = aapl_calls.filter(pl.col(\"expiration\").is_in(expirations))\n",
"\n",
"fig = px.scatter(\n",
" smile_data.to_pandas(),\n",
" x=\"moneyness\",\n",
" y=\"implied_vol\",\n",
" color=\"expiration\",\n",
" title=\"AAPL IV Smile Across Expirations\",\n",
" labels={\"moneyness\": \"Moneyness\", \"implied_vol\": \"Implied Volatility\"},\n",
")\n",
"fig.add_vline(x=1.0, line_dash=\"dash\", line_color=\"gray\")\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "609820f3",
"metadata": {
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"duration": 0.005394,
"end_time": "2026-06-13T02:33:04.363948+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:04.358554+00:00",
"status": "completed"
}
},
"source": [
"### 4.2 IV Term Structure\n",
"\n",
"How does ATM IV vary across expirations?"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "bef4b661",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:04.375454Z",
"iopub.status.busy": "2026-06-13T02:33:04.375293Z",
"iopub.status.idle": "2026-06-13T02:33:04.417114Z",
"shell.execute_reply": "2026-06-13T02:33:04.416755Z"
},
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"end_time": "2026-06-13T02:33:04.417697+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:04.369225+00:00",
"status": "completed"
}
},
"outputs": [
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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# ATM IV term structure (moneyness 0.98-1.02)\n",
"atm_term = (\n",
" aapl_calls.filter(pl.col(\"moneyness\").is_between(0.98, 1.02))\n",
" .group_by(\"expiration\")\n",
" .agg(\n",
" [\n",
" pl.col(\"implied_vol\").mean().alias(\"iv_atm\"),\n",
" pl.col(\"days_to_maturity\").first().alias(\"days\"),\n",
" ]\n",
" )\n",
" .sort(\"expiration\")\n",
")\n",
"\n",
"fig = px.line(\n",
" atm_term.to_pandas(),\n",
" x=\"days\",\n",
" y=\"iv_atm\",\n",
" markers=True,\n",
" title=f\"AAPL ATM IV Term Structure ({sample_date})\",\n",
" labels={\"days\": \"Days to Expiration\", \"iv_atm\": \"ATM Implied Volatility\"},\n",
")\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "d125db08",
"metadata": {
"papermill": {
"duration": 0.006187,
"end_time": "2026-06-13T02:33:04.431776+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:04.425589+00:00",
"status": "completed"
}
},
"source": [
"**Term structure shapes:**\n",
"- **Contango** (upward sloping): Near-term calm, uncertainty further out\n",
"- **Backwardation** (downward sloping): Near-term stress/event expected\n",
"- **Flat**: Consistent expectations across horizons"
]
},
{
"cell_type": "markdown",
"id": "44917252",
"metadata": {
"papermill": {
"duration": 0.006027,
"end_time": "2026-06-13T02:33:04.443841+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:04.437814+00:00",
"status": "completed"
}
},
"source": [
"### 4.3 3D Volatility Surface\n",
"\n",
"Combine moneyness and time dimensions into a single surface visualization."
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "6fa41da8",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:04.470148Z",
"iopub.status.busy": "2026-06-13T02:33:04.470029Z",
"iopub.status.idle": "2026-06-13T02:33:05.751712Z",
"shell.execute_reply": "2026-06-13T02:33:05.751221Z"
},
"papermill": {
"duration": 1.30245,
"end_time": "2026-06-13T02:33:05.752412+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:04.449962+00:00",
"status": "completed"
}
},
"outputs": [
{
"data": {
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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Prepare surface data\n",
"surface_data = (\n",
" aapl_calls.filter(pl.col(\"days_to_maturity\") <= 180) # Focus on <6 months\n",
" .select([\"moneyness\", \"days_to_maturity\", \"implied_vol\"])\n",
" .to_pandas()\n",
")\n",
"\n",
"# Create 3D surface\n",
"fig = go.Figure(\n",
" data=[\n",
" go.Mesh3d(\n",
" x=surface_data[\"moneyness\"],\n",
" y=surface_data[\"days_to_maturity\"],\n",
" z=surface_data[\"implied_vol\"],\n",
" intensity=surface_data[\"implied_vol\"],\n",
" colorscale=\"Viridis\",\n",
" opacity=0.7,\n",
" )\n",
" ]\n",
")\n",
"\n",
"fig.update_layout(\n",
" title=f\"AAPL 3D Volatility Surface ({sample_date})\",\n",
" scene=dict(\n",
" xaxis_title=\"Moneyness\",\n",
" yaxis_title=\"Days to Expiration\",\n",
" zaxis_title=\"Implied Volatility\",\n",
" ),\n",
" height=600,\n",
")\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "82590bcf",
"metadata": {
"papermill": {
"duration": 0.006919,
"end_time": "2026-06-13T02:33:05.766730+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:05.759811+00:00",
"status": "completed"
}
},
"source": [
"## 5. Cross-Sectional Analysis\n",
"\n",
"How does ATM IV differ across the eight underlyings on a single day? The same\n",
"logic scales to the full S&P 500 universe — here we keep the comparison\n",
"tractable on the EDA slice."
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "859fff70",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:05.781398Z",
"iopub.status.busy": "2026-06-13T02:33:05.781298Z",
"iopub.status.idle": "2026-06-13T02:33:05.864240Z",
"shell.execute_reply": "2026-06-13T02:33:05.863797Z"
},
"papermill": {
"duration": 0.090937,
"end_time": "2026-06-13T02:33:05.864629+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:05.773692+00:00",
"status": "completed"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"=== Cross-Sectional ATM IV (2020-12-31) ===\n",
"Symbols: 8\n",
"IV range: 22.1% - 46.1%\n",
"IV median: 31.7%\n"
]
}
],
"source": [
"# Compute ATM IV for all symbols on sample date\n",
"converged = options.filter(pl.col(\"iv_convergence\") == \"Converged\")\n",
"\n",
"cross_section = (\n",
" converged.filter(pl.col(\"timestamp\") == sample_date)\n",
" .with_columns((pl.col(\"strike\") / pl.col(\"underlying_price\")).alias(\"moneyness\"))\n",
" .filter(pl.col(\"moneyness\").is_between(0.98, 1.02))\n",
" .filter(pl.col(\"call_put\") == \"C\")\n",
" .group_by(\"symbol\")\n",
" .agg(\n",
" [\n",
" pl.col(\"implied_vol\").mean().alias(\"iv_atm\"),\n",
" pl.col(\"underlying_price\").first().alias(\"price\"),\n",
" ]\n",
" )\n",
" .sort(\"iv_atm\", descending=True)\n",
")\n",
"\n",
"print(f\"=== Cross-Sectional ATM IV ({sample_date}) ===\")\n",
"print(f\"Symbols: {len(cross_section)}\")\n",
"print(f\"IV range: {cross_section['iv_atm'].min():.1%} - {cross_section['iv_atm'].max():.1%}\")\n",
"print(f\"IV median: {cross_section['iv_atm'].median():.1%}\")"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "70b548b5",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:05.881947Z",
"iopub.status.busy": "2026-06-13T02:33:05.881766Z",
"iopub.status.idle": "2026-06-13T02:33:05.885875Z",
"shell.execute_reply": "2026-06-13T02:33:05.885373Z"
},
"papermill": {
"duration": 0.012533,
"end_time": "2026-06-13T02:33:05.886152+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:05.873619+00:00",
"status": "completed"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"=== Highest IV Names ===\n"
]
},
{
"data": {
"text/html": [
"<div><style>\n",
".dataframe > thead > tr,\n",
".dataframe > tbody > tr {\n",
" text-align: right;\n",
" white-space: pre-wrap;\n",
"}\n",
"</style>\n",
"<small>shape: (8, 3)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>symbol</th><th>iv_atm</th><th>price</th></tr><tr><td>str</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>&quot;BA&quot;</td><td>0.460882</td><td>214.0</td></tr><tr><td>&quot;XOM&quot;</td><td>0.368523</td><td>41.205</td></tr><tr><td>&quot;AAPL&quot;</td><td>0.36784</td><td>132.595</td></tr><tr><td>&quot;AMZN&quot;</td><td>0.335747</td><td>3256.645</td></tr><tr><td>&quot;JPM&quot;</td><td>0.297813</td><td>126.965</td></tr><tr><td>&quot;GOOGL&quot;</td><td>0.294052</td><td>1751.79</td></tr><tr><td>&quot;MSFT&quot;</td><td>0.282423</td><td>222.275</td></tr><tr><td>&quot;KO&quot;</td><td>0.220575</td><td>54.815</td></tr></tbody></table></div>"
],
"text/plain": [
"shape: (8, 3)\n",
"┌────────┬──────────┬──────────┐\n",
"│ symbol ┆ iv_atm ┆ price │\n",
"│ --- ┆ --- ┆ --- │\n",
"│ str ┆ f64 ┆ f64 │\n",
"╞════════╪══════════╪══════════╡\n",
"│ BA ┆ 0.460882 ┆ 214.0 │\n",
"│ XOM ┆ 0.368523 ┆ 41.205 │\n",
"│ AAPL ┆ 0.36784 ┆ 132.595 │\n",
"│ AMZN ┆ 0.335747 ┆ 3256.645 │\n",
"│ JPM ┆ 0.297813 ┆ 126.965 │\n",
"│ GOOGL ┆ 0.294052 ┆ 1751.79 │\n",
"│ MSFT ┆ 0.282423 ┆ 222.275 │\n",
"│ KO ┆ 0.220575 ┆ 54.815 │\n",
"└────────┴──────────┴──────────┘"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Highest IV names\n",
"print(\"\\n=== Highest IV Names ===\")\n",
"cross_section.head(10)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "b722b309",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:05.901794Z",
"iopub.status.busy": "2026-06-13T02:33:05.901643Z",
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"text": [
"\n",
"=== Lowest IV Names ===\n"
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},
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"<small>shape: (8, 3)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>symbol</th><th>iv_atm</th><th>price</th></tr><tr><td>str</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>&quot;BA&quot;</td><td>0.460882</td><td>214.0</td></tr><tr><td>&quot;XOM&quot;</td><td>0.368523</td><td>41.205</td></tr><tr><td>&quot;AAPL&quot;</td><td>0.36784</td><td>132.595</td></tr><tr><td>&quot;AMZN&quot;</td><td>0.335747</td><td>3256.645</td></tr><tr><td>&quot;JPM&quot;</td><td>0.297813</td><td>126.965</td></tr><tr><td>&quot;GOOGL&quot;</td><td>0.294052</td><td>1751.79</td></tr><tr><td>&quot;MSFT&quot;</td><td>0.282423</td><td>222.275</td></tr><tr><td>&quot;KO&quot;</td><td>0.220575</td><td>54.815</td></tr></tbody></table></div>"
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"╞════════╪══════════╪══════════╡\n",
"│ BA ┆ 0.460882 ┆ 214.0 │\n",
"│ XOM ┆ 0.368523 ┆ 41.205 │\n",
"│ AAPL ┆ 0.36784 ┆ 132.595 │\n",
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},
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"source": [
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"print(\"\\n=== Lowest IV Names ===\")\n",
"cross_section.tail(10)"
]
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# IV distribution across universe\n",
"fig = px.histogram(\n",
" cross_section.to_pandas(),\n",
" x=\"iv_atm\",\n",
" nbins=40,\n",
" title=f\"Cross-Sectional ATM IV Distribution ({sample_date})\",\n",
" labels={\"iv_atm\": \"ATM Implied Volatility\", \"count\": \"Number of Symbols\"},\n",
")\n",
"median_iv = float(cross_section[\"iv_atm\"].median())\n",
"fig.add_vline(x=median_iv, line_dash=\"dash\", line_color=\"red\")\n",
"fig.add_annotation(x=median_iv, y=0.95, yref=\"paper\", text=\"Median\", showarrow=False)\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "7045ed1a",
"metadata": {
"papermill": {
"duration": 0.007831,
"end_time": "2026-06-13T02:33:05.999346+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:05.991515+00:00",
"status": "completed"
}
},
"source": [
"## 6. Time Series Analysis\n",
"\n",
"How does IV evolve over time? The year 2020 provides an excellent case study\n",
"with the COVID crash in March."
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "7f3ea6c3",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:06.015876Z",
"iopub.status.busy": "2026-06-13T02:33:06.015717Z",
"iopub.status.idle": "2026-06-13T02:33:06.054317Z",
"shell.execute_reply": "2026-06-13T02:33:06.053943Z"
},
"papermill": {
"duration": 0.047832,
"end_time": "2026-06-13T02:33:06.055026+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:06.007194+00:00",
"status": "completed"
}
},
"outputs": [],
"source": [
"# Daily aggregate IV statistics\n",
"daily_iv = (\n",
" converged.with_columns((pl.col(\"strike\") / pl.col(\"underlying_price\")).alias(\"moneyness\"))\n",
" .filter(pl.col(\"moneyness\").is_between(0.98, 1.02))\n",
" .filter(pl.col(\"call_put\") == \"C\")\n",
" .group_by(\"timestamp\")\n",
" .agg(\n",
" [\n",
" pl.col(\"implied_vol\").mean().alias(\"iv_mean\"),\n",
" pl.col(\"implied_vol\").median().alias(\"iv_median\"),\n",
" pl.col(\"implied_vol\").quantile(0.1).alias(\"iv_p10\"),\n",
" pl.col(\"implied_vol\").quantile(0.9).alias(\"iv_p90\"),\n",
" pl.col(\"symbol\").n_unique().alias(\"n_symbols\"),\n",
" ]\n",
" )\n",
" .sort(\"timestamp\")\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "5168a8fe",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:06.072809Z",
"iopub.status.busy": "2026-06-13T02:33:06.072660Z",
"iopub.status.idle": "2026-06-13T02:33:06.123650Z",
"shell.execute_reply": "2026-06-13T02:33:06.123320Z"
},
"papermill": {
"duration": 0.060711,
"end_time": "2026-06-13T02:33:06.124198+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:06.063487+00:00",
"status": "completed"
}
},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"line": {
"color": "lightblue"
},
"mode": "lines",
"name": "P90",
"type": "scatter",
"x": [
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"title": {
"text": "S&P 500 Universe ATM IV Evolution (2020)"
},
"xaxis": {
"title": {
"text": "Date"
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},
"yaxis": {
"title": {
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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Build the full IV-evolution figure in one cell — splitting the figure across\n",
"# two cells produced an intermediate render with no title or axis labels.\n",
"fig = go.Figure()\n",
"\n",
"fig.add_trace(\n",
" go.Scatter(\n",
" x=daily_iv[\"timestamp\"].to_list(),\n",
" y=daily_iv[\"iv_p90\"].to_list(),\n",
" fill=None,\n",
" mode=\"lines\",\n",
" line_color=\"lightblue\",\n",
" name=\"P90\",\n",
" )\n",
")\n",
"fig.add_trace(\n",
" go.Scatter(\n",
" x=daily_iv[\"timestamp\"].to_list(),\n",
" y=daily_iv[\"iv_p10\"].to_list(),\n",
" fill=\"tonexty\",\n",
" mode=\"lines\",\n",
" line_color=\"lightblue\",\n",
" name=\"P10-P90 Range\",\n",
" )\n",
")\n",
"fig.add_trace(\n",
" go.Scatter(\n",
" x=daily_iv[\"timestamp\"].to_list(),\n",
" y=daily_iv[\"iv_median\"].to_list(),\n",
" mode=\"lines\",\n",
" line_color=\"darkblue\",\n",
" line_width=2,\n",
" name=\"Median IV\",\n",
" )\n",
")\n",
"\n",
"fig.add_vline(x=\"2020-03-16\", line_dash=\"dash\", line_color=\"red\")\n",
"fig.add_vline(x=\"2020-03-23\", line_dash=\"dash\", line_color=\"green\")\n",
"fig.add_annotation(x=\"2020-03-16\", y=0.95, yref=\"paper\", text=\"COVID Low\", showarrow=False)\n",
"fig.add_annotation(x=\"2020-03-23\", y=0.90, yref=\"paper\", text=\"Market Bottom\", showarrow=False)\n",
"\n",
"fig.update_layout(\n",
" title=\"S&P 500 Universe ATM IV Evolution (2020)\",\n",
" xaxis_title=\"Date\",\n",
" yaxis_title=\"Implied Volatility\",\n",
" height=500,\n",
")\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "69efeb98",
"metadata": {
"papermill": {
"duration": 0.009526,
"end_time": "2026-06-13T02:33:06.143286+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:06.133760+00:00",
"status": "completed"
}
},
"source": [
"**Key observations:**\n",
"- The 90th-percentile ATM IV crossed 100% in mid-March 2020 (peak P90 ≈ 115% on\n",
" 2020-03-16); cross-sectional median ATM IV peaked near 70%.\n",
"- IV stayed materially above pre-crash levels well past Q1 — slow mean reversion\n",
" even as spot recovered.\n",
"- The \"fear gauge\" aspect of IV — sharp spike, slow decay — is visible even on\n",
" this eight-symbol slice."
]
},
{
"cell_type": "markdown",
"id": "a7ae0e78",
"metadata": {
"papermill": {
"duration": 0.009085,
"end_time": "2026-06-13T02:33:06.161753+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:06.152668+00:00",
"status": "completed"
}
},
"source": [
"## 7. Execution Cost Proxy: Bid-Ask Spreads\n",
"\n",
"Since we don't have volume or open interest, bid-ask spread serves as our\n",
"primary liquidity/execution cost indicator."
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "3e5fe73a",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:06.180463Z",
"iopub.status.busy": "2026-06-13T02:33:06.180356Z",
"iopub.status.idle": "2026-06-13T02:33:06.306691Z",
"shell.execute_reply": "2026-06-13T02:33:06.306311Z"
},
"papermill": {
"duration": 0.136167,
"end_time": "2026-06-13T02:33:06.307052+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:06.170885+00:00",
"status": "completed"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"=== Bid-Ask Spread Statistics ===\n"
]
},
{
"data": {
"text/html": [
"<div><style>\n",
".dataframe > thead > tr,\n",
".dataframe > tbody > tr {\n",
" text-align: right;\n",
" white-space: pre-wrap;\n",
"}\n",
"</style>\n",
"<small>shape: (9, 3)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>statistic</th><th>spread_abs</th><th>spread_pct</th></tr><tr><td>str</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>&quot;count&quot;</td><td>3.547606e6</td><td>3.547606e6</td></tr><tr><td>&quot;null_count&quot;</td><td>0.0</td><td>0.0</td></tr><tr><td>&quot;mean&quot;</td><td>4.780173</td><td>0.164237</td></tr><tr><td>&quot;std&quot;</td><td>5.242356</td><td>0.272971</td></tr><tr><td>&quot;min&quot;</td><td>-2.35</td><td>-0.153846</td></tr><tr><td>&quot;25%&quot;</td><td>0.8</td><td>0.029326</td></tr><tr><td>&quot;50%&quot;</td><td>3.15</td><td>0.064392</td></tr><tr><td>&quot;75%&quot;</td><td>8.0</td><td>0.160804</td></tr><tr><td>&quot;max&quot;</td><td>1250.0</td><td>1.99975</td></tr></tbody></table></div>"
],
"text/plain": [
"shape: (9, 3)\n",
"┌────────────┬────────────┬────────────┐\n",
"│ statistic ┆ spread_abs ┆ spread_pct │\n",
"│ --- ┆ --- ┆ --- │\n",
"│ str ┆ f64 ┆ f64 │\n",
"╞════════════╪════════════╪════════════╡\n",
"│ count ┆ 3.547606e6 ┆ 3.547606e6 │\n",
"│ null_count ┆ 0.0 ┆ 0.0 │\n",
"│ mean ┆ 4.780173 ┆ 0.164237 │\n",
"│ std ┆ 5.242356 ┆ 0.272971 │\n",
"│ min ┆ -2.35 ┆ -0.153846 │\n",
"│ 25% ┆ 0.8 ┆ 0.029326 │\n",
"│ 50% ┆ 3.15 ┆ 0.064392 │\n",
"│ 75% ┆ 8.0 ┆ 0.160804 │\n",
"│ max ┆ 1250.0 ┆ 1.99975 │\n",
"└────────────┴────────────┴────────────┘"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Compute spread metrics\n",
"spread_analysis = (\n",
" converged.with_columns(\n",
" [\n",
" (pl.col(\"ask\") - pl.col(\"bid\")).alias(\"spread_abs\"),\n",
" ((pl.col(\"ask\") - pl.col(\"bid\")) / pl.col(\"mid_price\")).alias(\"spread_pct\"),\n",
" (pl.col(\"strike\") / pl.col(\"underlying_price\")).alias(\"moneyness\"),\n",
" ]\n",
" )\n",
" .filter(pl.col(\"mid_price\") > 0.10) # Filter penny options\n",
" .filter(pl.col(\"spread_pct\") < 2.0) # Filter outliers\n",
")\n",
"\n",
"print(\"=== Bid-Ask Spread Statistics ===\")\n",
"spread_analysis.select([\"spread_abs\", \"spread_pct\"]).describe()"
]
},
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Spread by moneyness\n",
"spread_by_moneyness = (\n",
" spread_analysis.filter(pl.col(\"moneyness\").is_between(0.8, 1.2))\n",
" .with_columns((pl.col(\"moneyness\") * 20).round() / 20) # Bucket to 5% increments\n",
" .group_by(\"moneyness\")\n",
" .agg([pl.col(\"spread_pct\").median().alias(\"median_spread\")])\n",
" .sort(\"moneyness\")\n",
")\n",
"\n",
"fig = px.bar(\n",
" spread_by_moneyness.to_pandas(),\n",
" x=\"moneyness\",\n",
" y=\"median_spread\",\n",
" title=\"Median Bid-Ask Spread by Moneyness\",\n",
" labels={\"moneyness\": \"Moneyness\", \"median_spread\": \"Median Spread (%)\"},\n",
")\n",
"fig.add_vline(x=1.0, line_dash=\"dash\", line_color=\"gray\")\n",
"fig.add_annotation(x=1.0, y=0.95, yref=\"paper\", text=\"ATM\", showarrow=False)\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "16265bd7",
"metadata": {
"papermill": {
"duration": 0.012288,
"end_time": "2026-06-13T02:33:06.518382+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:06.506094+00:00",
"status": "completed"
}
},
"source": [
"**Spread observations:**\n",
"- ATM options have tightest spreads (most liquid)\n",
"- Spreads widen for OTM options (less liquid)\n",
"- Deep OTM options can have very wide spreads (>50%)\n",
"- **Implication**: Focus on near-ATM for tradeable strategies"
]
},
{
"cell_type": "markdown",
"id": "a880d9c1",
"metadata": {
"papermill": {
"duration": 0.010554,
"end_time": "2026-06-13T02:33:06.539346+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:06.528792+00:00",
"status": "completed"
}
},
"source": [
"## 8. Data Quality Assessment\n",
"\n",
"### 8.1 IV Convergence Rates"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "85159800",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:06.560075Z",
"iopub.status.busy": "2026-06-13T02:33:06.559970Z",
"iopub.status.idle": "2026-06-13T02:33:06.583064Z",
"shell.execute_reply": "2026-06-13T02:33:06.582624Z"
},
"papermill": {
"duration": 0.034197,
"end_time": "2026-06-13T02:33:06.583575+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:06.549378+00:00",
"status": "completed"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"=== IV Convergence Status ===\n",
" Converged: 3,588,121 (69.55%)\n",
" SmallBid_FlatExtrapol: 498,319 (9.66%)\n",
" IntrVal_FlatExtrapol: 492,298 (9.54%)\n",
" IntrVal_PutCallPair: 408,346 (7.92%)\n",
" Failed: 104,718 (2.03%)\n",
" Failed_PutCallPair: 29,418 (0.57%)\n",
" SmallBid_PutCallPair: 14,446 (0.28%)\n",
" IntrVal_LinInterp: 14,324 (0.28%)\n",
" Failed_FlatExtrapol: 8,797 (0.17%)\n",
" Failed_LinInterp: 89 (0.00%)\n"
]
}
],
"source": [
"# Convergence statistics\n",
"convergence_stats = (\n",
" options.group_by(\"iv_convergence\")\n",
" .len()\n",
" .with_columns((pl.col(\"len\") / pl.sum(\"len\") * 100).alias(\"pct\"))\n",
" .sort(\"len\", descending=True)\n",
")\n",
"\n",
"print(\"=== IV Convergence Status ===\")\n",
"for row in convergence_stats.iter_rows(named=True):\n",
" print(f\" {row['iv_convergence']}: {row['len']:,} ({row['pct']:.2f}%)\")"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "2118d47b",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:06.607402Z",
"iopub.status.busy": "2026-06-13T02:33:06.607240Z",
"iopub.status.idle": "2026-06-13T02:33:06.648493Z",
"shell.execute_reply": "2026-06-13T02:33:06.648079Z"
},
"papermill": {
"duration": 0.053377,
"end_time": "2026-06-13T02:33:06.648891+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:06.595514+00:00",
"status": "completed"
}
},
"outputs": [
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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Horizontal bar chart instead of a pie: 10 convergence categories make a pie\n",
"# unreadable (tiny slices overlap their labels). The bar chart sorts by share\n",
"# and keeps every label legible.\n",
"convergence_pd = convergence_stats.to_pandas().sort_values(\"pct\", ascending=True)\n",
"fig = go.Figure(\n",
" data=go.Bar(\n",
" x=convergence_pd[\"pct\"],\n",
" y=convergence_pd[\"iv_convergence\"],\n",
" orientation=\"h\",\n",
" text=[f\"{v:.2f}%\" for v in convergence_pd[\"pct\"]],\n",
" textposition=\"outside\",\n",
" marker_color=\"#4C72B0\",\n",
" )\n",
")\n",
"fig.update_layout(\n",
" title=\"IV Convergence Status Distribution\",\n",
" xaxis_title=\"Share of rows (%)\",\n",
" yaxis_title=\"Convergence status\",\n",
" template=\"plotly_white\",\n",
" height=460,\n",
" margin=dict(l=170, r=100),\n",
" xaxis=dict(range=[0, max(convergence_pd[\"pct\"]) * 1.15]),\n",
")\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "d66b74d6",
"metadata": {
"papermill": {
"duration": 0.011956,
"end_time": "2026-06-13T02:33:06.672968+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:06.661012+00:00",
"status": "completed"
}
},
"source": [
"### 8.2 Coverage Analysis"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "19c06726",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:06.696370Z",
"iopub.status.busy": "2026-06-13T02:33:06.696266Z",
"iopub.status.idle": "2026-06-13T02:33:06.772949Z",
"shell.execute_reply": "2026-06-13T02:33:06.772584Z"
},
"papermill": {
"duration": 0.089123,
"end_time": "2026-06-13T02:33:06.773436+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:06.684313+00:00",
"status": "completed"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"=== Daily Coverage (Converged Options) ===\n",
"Mean symbols/day: 8\n",
"Min symbols/day: 8\n",
"Max symbols/day: 8\n"
]
}
],
"source": [
"# Daily symbol coverage\n",
"daily_coverage = (\n",
" converged.group_by(\"timestamp\")\n",
" .agg(\n",
" [\n",
" pl.col(\"symbol\").n_unique().alias(\"n_symbols\"),\n",
" pl.len().alias(\"n_options\"),\n",
" ]\n",
" )\n",
" .sort(\"timestamp\")\n",
")\n",
"\n",
"print(\"=== Daily Coverage (Converged Options) ===\")\n",
"print(f\"Mean symbols/day: {daily_coverage['n_symbols'].mean():.0f}\")\n",
"print(f\"Min symbols/day: {daily_coverage['n_symbols'].min()}\")\n",
"print(f\"Max symbols/day: {daily_coverage['n_symbols'].max()}\")"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "0eda4063",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:06.797750Z",
"iopub.status.busy": "2026-06-13T02:33:06.797644Z",
"iopub.status.idle": "2026-06-13T02:33:06.844568Z",
"shell.execute_reply": "2026-06-13T02:33:06.844204Z"
},
"papermill": {
"duration": 0.05909,
"end_time": "2026-06-13T02:33:06.845047+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:06.785957+00:00",
"status": "completed"
}
},
"outputs": [
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qeUlnxy90+ZmUmLx7/17VXkoTOfrzyk1bVk7ORzK+wTXj0WxwwmuGS4maXXDpql+QH1WnchFVqhJUk0zkkZMXcGb7TFM3GqGJv9Rvyi4XI3uL/GcLIDNGnXNo5h+U8D5+8kw9Nbh647a6yciWKbW6bn7/65qqHZ83riskg27UYMsTD+OJg8HFUXhDM6/A2H5qhtfIjFcskVfdAMoTkTxlWyH/j1lsmfK+o+ZiyZqdQcb069TJbX+friK8k+auUfXs+9eMC7ArhfxMfmcsipPFt+36BH2TICd9fPNU+EZyre3c+IVKAiRAAu5IwOWE10wNr5QEyCNw+1rMoATBWKgmJQ0pksQPVYZXhCdaFF9VumDfDOGVrIzUB0oL6stWHmlPnb/OJrzS9/mLVypTevD4ebVwTep6pQ5QZCVl8sBrIOU4Qxh7tqmJSoE8sp2xaCNkqyVjYVBo5xWY8BqZV8mqSh1pnrIt0aRWaVWTKk3KRkRSZHGVsTjQ8Q8heZL46vFscMJrhovEw9PTM8gFZ3FjfaYWywXVBoyZh4WrdihBElEKqYUm/rJYKU+5Vvg2QyqMG9BKZS7lyYJR5yyfFZr5B3U9G/GQxZGF8/67H/WOfSdVNt0QXqPMw7H8Q+bhKLyhmVdgzIwa3tWz+gd5/cpWg407jUSHJpVRu1Jh2zBNu4xS18XuFR9qsyVTbjw9kE59RszG0nW7MXt0Z1vm3H4OsjDU+JtxFeE1/s1xFN4Js1Zh4px/hVfWEnToNwmdmlXBN+m/CvRyzJAmhambs5CuZf6eBEiABMI7AZcTXhE2Ebegdml4+Up2aeikHqVvXzLSVmoQlCBIzacssDqycbLKsDrWOtpfAI41vLLyXBae7Vs1LkBJgwjqz1U6BFiMFhrhdbzoZBGRSIhsbt+1ZfUgr0lDLkV2RXodm5QabNt7DEc3TrFlhUIzr8CEVz4zX4U2qF62oNoPWTJu9qvnpd4we7HG+C5zWkwc1CbYv6eQhDckLhIP2XVg35pxtnrH0PwB7ztyDlKmIHI+uGvDIA8VeZXFQ6GJvwwmQr107W7sWjEa5er3UHXG9jW9oZl/UNdzz2EzsWLDXpzdMTPANekovMY1FdjNkaPwhmZegUEzuAa3S4NkvyULbtx4GuPISyra9BqP8QNbYcP2w2rPXmNHC+ljPKExs9DQ3YRXrmUps3G8CQjNNc2+JEACJEAC5gi4nPAa+/BKjZus0rbfdkjeiNVtyHS1y4KIoQii0QIThL+u3FA1cj/lzIzRfT/UDRo1qJOHtFO7OQQnvPIoVQRPpKVcsdy2rsZjVjOlA44ZXtm2K13KZAEWd8lWayKN5YrlUfvDBtekpvbKNT+smN4PSRL+u52T7EBRsWFvZM2U2lYzKuNYFV4ZQ7JwIiKyGDBSpA9xsW9yUyELnwJbNCZf6pLhlQx2cMJrhotkTKUmW2pSpTbVvt2++1AtxLK/Xhw5Ggu5ZE6BvVxCbqZky7OoUXzVVmmhib98ljCq2Ki32opO5M4+Uym/D838gxJe2bJLMoj2OyLIlmjdh0yHSK+R4ZWnCLnLtFA7Wcwd29W2zZqU0siWcnKOxqK10MwrsGtTuEqZxYU/rqgSH8c3IRo3mcLF+Ds0xlGZ8bKtkDFdChw7fVHVYBtPD6SPbBMoC7uyZ0mLyYPbqhsRo0m8pM5cSjiCu9bN/VMY8j68Zmt4zWZ4pYSjcJUOaisyeYJivyWhMD104hfkzPq12emzHwmQAAmQQDAEXE54Za6yhZFkhGQPTVnAJsL0z5Nnal9Nv9v31Wp4qWO1X8whgiBNXgv7VbKE6lH7xp2H4RkhApZO7W3b6/Pu/UcoVKWDWmRSscRP6g1ueb7/Rq2Ed8zwypexLIyRL/JSP/+IFEnjq4VJsmjOfrV5aMRSHtGu2XIARfPnQNqUSeDv/xabdx/Fr7//rWTFWLwTVMxkFXudNkPUm6Dkla1x48TEDb972LzrCDw8Iqituey3htIhvFt2H0Pb3hPUlOz33jXmeOvuA/Xigbv3H6v6VdkiTG5ODp/8FSfP/Q5jl4fghNcMFxEEyUZKLbNITo4sadVj7vO/Xcaew2fQr0Ndlb0Nrsmq/wbthymREk7ff5teSfz1m3ex/9g5PP7nmW0xZGjib3ymLBSTBWNJEn4RIFMpvw/N/IMSXpm37G4QI3pUtdXYmzdvsWP/SbUfr9w4GcIrn2fIscRDtt6Tvwnp++7tO3yZLIFNeEMzr6DYGiJt/6Y1yf7Lm9bOX7yMtCmTqhsiYytA+3GM3RHk79n+6YHRxygFkP16C+T+FrFjxsClqzfVueT7IYutxMXdMrxyfrJ1YrMuo9Q2c8UKfI/E8eOoOMkNoCxEtN8TnN9kJEACJEACn07AJYVXTkcW5Uhpg9pL9/4jtVG+fGnK27HsaxeNUxdBkD15I/tGUo+9/d+8Ufu8yiImEWb7JpmwMdOX4+rNO2rnBtneLEeWdIG+eEKyhuNmrlJlER9ePBFLvbhA9hK139rKrFhKJlYyXodOXMCduw+VAMiesE1qlrItNAspnLK6e+Kc1Uq+ZX6yrZGUFMieplKnbN/MzkuOCaykQX5uZOFEjOxrUu0/R76kpVZZbgbkhQgiZLJNXKGfsqnMtbzIITjhNctF9sadt3wL1m87pHZsEPFPmugL5Mnxjaprtt9+KyiOIoeyb+z2vSfUIjh/f391XLZMaVGq8A/qWjCa2fgb/Y09Y429dx3nYHb+we3SILXfUiN85fpttV1cyZ9zKsGWTLu98IowTZ67BkvW7sLjf56qv4P61YpDtluTHVHkCYXRzM4ruGtTWM1ZugXb9h3HtRt3VO1p0kTx1M2dPI2RpzaBNRHiSo36qJfGOD49MPpLxlxiJhldkXx5LXi2zGnVvs+yp7A0dxRembfsSSwLW4+d/k39PceNHVP9myB7f8vNOBsJkAAJkIB1Ai4rvKE9teAEIbRjsT8JhGUCsitD8qTxXfo1v2GZP8+NBEiABEjgf0+Awvu/Z85PJIH/CQEpKzH2BDY+0FgoJS9nkEVmbCRAAiRAAiQQHghQeMNDlHmO4ZLAqk371KPyb9J9hcQJ4uDBoyeQn8mbB2XBmixcYyMBEiABEiCB8ECAwhseosxzDJcETp77Q73V78pVPzx78VK9BOHH7zJA6ovtXwEdLuHwpEmABEiABMIVgTAjvOEqajxZEiABEiABEiABEiAB0wQovKZRsSMJkAAJkAAJkAAJkIA7EqDwumPUOGcSIAESIAESIAESIAHTBCi8plGxIwmQAAmQAAmQAAmQgDsSoPC6Y9Q4ZxIgARIgARIgARIgAdMEKLymUbEjCZAACZAACZAACZCAOxKg8Lpj1DhnEiABEiABEiABEiAB0wQovKZRsSMJkAAJkAAJkAAJkIA7EqDwumPUOGcSIAESIAESIAESIAHTBCi8plGxIwmQAAmQAAmQAAmQgDsSoPC6Y9Q4ZxIgARIgARIgARIgAdMEKLymUbEjCZAACZAACZAACZCAOxKg8Lpj1DhnEiABEiABEiABEiAB0wQovKZRsSMJkAAJkAAJkAAJkIA7EqDwumPUOGcSIAESIAESIAESIAHTBCi8plGxIwmQAAmQAAmQAAmQgDsSoPC6Y9Q4ZxIgARIgARIgARIgAdMEKLymUbEjCZAACZAACZAACZCAOxKg8Lpj1DhnEiABEiABEiABEiAB0wQovKZRsSMJkAAJkAAJkAAJkIA7EqDwumPUOGcSIAESIAESIAESIAHTBCi8plGxIwmQAAmQAAmQAAmQgDsSoPC6Y9Q4ZxIgARIgARIgARIgAdMEKLymUbEjCZAACZAACZAACZCAOxKg8Lpj1DhnEiABEiABEiABEiAB0wQovKZRsSMJkAAJkAAJkAAJkIA7EqDwumPUOGcSIAESIAESIAESIAHTBCi8plGxIwmQAAmQAAmQAAmQgDsSoPC6Y9Q4ZxIgARIgARIgARIgAdMEKLymUbFjeCTw9/XbmDp/HY6fuYjb9x4iZoyo+CLO58iRJR1KF/4RyRLH+59hqdCwNxLGi43RfZtb/sxXr/2RpVADdGpWBTUr/Gx5vNAOUKBSO8T+PAYWT+qpDr128w7WbjmACiXyIm7sz2zDPX/xEtmKNEbXltVRrWyB0H6Mrf/tuw8xe+lm7Dl0Gn53HiCyb0Qkjh8HObN9jQrFf0L8L2J98tjh4cAW3cbg7oPHtniFdM77jpzDgpVbcfbCJUgM48aOidw5vkH9asUQL87nIR3+0e/fvXuPSXNWq3hl/jplgN87XkuhHpwHkAAJhAsCFN5wEWae5KcQOHX+D9RrO1R9WZctmkuJ7qN/nuLk2d+VOFUrWxAdmlb+lKE/6ZiwJLzTF25AlMiRUKV0fsXi0PFfUL/9MCyZ0gtfp06uVXgljk07j0IEzwgoXywPUiZPhOcvX+Hkud+xZfcxpEyeEEun9P6kmISXg0IjvBNnr8aE2auRIU1yFMmfAzGiRcFfV25i2frd8PSMgBkjOiLNV0lChe7N27f4Jn89tG9cCXUqFwlwrOO1FKqB2ZkESCDcEKDwhptQ80RDS0Bk9/dL17Bh/hBEjxo5wOF37z/Cb39eRa7sGUM77Cf3D0vC6wjBWcL77PlLFK3eScn13LFdVVbZvknmd/GanWhVv9wnxyU8HGhWeI+c+hV12wxB2aK50bdDHXh4eNjw3Lx1D1Wa9kNk30hYP3eQkl+zLTjhNTsG+5EACYRvAhTe8B1/nn0wBErW6opIkXxCzP4NHr8QS9fuwq4Vo1U2y2giWz+Va4XKpfKjXeOK2H3wNJp1HY0Bnetjx74TOHzyV9U1b85M6NKyGtZsPoAVG/bgmt9dJIofB20bVUS+HzLbxjOE96ecmTBj4QZVBpAoQVw1dt6c//aTA+av2IZFq3fght9dxPwsGorkzY4W9crBN5KPGi+wkoY/L9/AuJkrcfqXP9Vj6ITx4uC7zGnV+BF9vAMlNWvxJgyfvAQH105AjOgfzn3Byu0YOHY+ti8difhxPzy+XrJmJ/qPmYdD6yYiahRfVG7SF3E+j4FxA1rZsruOHzBvXFeVCZSShg5NKuPlq9dYuXEvHjz6B+lSJUOvtrXwZbKEwV7DC1Zuw8CxCzBteHvkzPp1iNe7nPfoactV5vfxP0+ROEFcVC9XEJVK5bMda8RxUNcGKqYHj/+CCB4e6uane+saiBY1Mu49eIx8FdqgftViaFkvoExPnrsWk+euUddLzBjR4P/mLabNX4e1Ww/i1t0H+CJ2TOT7MQua1S6tWEkbNnExVm3eh7ljuqr5HTrxiyr92LRgqPr99n0nMHbGSvx97RbixP4MP2T7GsvX78HkIe2QK3sG29w37jiCmYs34q+/b6qbOCkPaNuoApIk/MLWR0o+hk9ajH1HzsIzQgRkTPcl/G7fR+TIkUIsaZDr+8TZ37Fr+WjbtWYPfdWmfeg+ZAbG9W+pztEoWZGymqfPXmD3wVN48uwFMqRJgd7tPsTXkF3H4LWoWxaNa5YMcC0Zfa7euK2uyyMnf4W//xukT50MLeqWw3eZ09iGMZj261APs5duwvmLV1TJUoUSP6FxjZI2WX/0+CkmzlmNPYfOQG50v4gTE+lTJ0fLemUDcAvx4mIHEiCB/5QAhfc/xc8Pd2UC3QZPx+rN+1XZgmSsHLO8xtylzleyiB2bVUEtu3pYEb9B4xZg66JhSBAvtk14RYia1iqlZPKXi1fQe8QseHt5IdWXidUXrXyhTluwQX35b1083JaVFOG9+NdVxI8bCyUK5kTEiN6q7vXvG7exdvZAWz2xCJE85hVRy/ZNGly+5ocp89YhY7oUmD68g/oidxRe+VIvXrMLUqVIhCpl8ivBPXPhLyXyq2b2/ygzapz7hd+vQOY1YWBriIhLk8z44ZMX0Ll5VdQoX0j9rOugafjzyg3bzYO98D55+hwiQkMmLELfDnWRPMmHuuhUKRIjQgQPJTqaxfYAACAASURBVLw+Pt5IkSQ+Cuf9Dq9e+WP+ym2IG+szrJ41QPUJqjXvOgYnzl7EwXUTAmQbA+v/9u071G49GH9cvo5G1UsgccK4OHzigrpxaF63DJrULKUOM4RXssYNq5dAzqzpcemqH/qNmoui+bKjV7vaql+L7mNx4eIVbFsyIsAci1TrhLQpk2Jk76Yf+nUbgyvXbqFulaLqJuO63x1MmLUa6VInU2IoTeRMbmJ8fLwUZ2Ejda2NapRQpQK9h89GoTxZVZ3s8xevsH3fcRw99VsA4Z2zbAsmz1mDBtWLqxsGEcw5Szfj5q37WDN7gJLrx0+eoVy9HmqM6uULqRsWiZvER6TYqLkOirfE6sfvvsaoPoHXmcv4OUs0U9eFXB+G8Hp7e6FGuULqHB798wzDJi5SZSci9N5enjh2+jcVGymBKZo/u/r4+F/EVvOzv5bk55K1L1e/Jz7/LJoqf4gU0UfNX67JacM7IHvmtDamUtedJGFcNKtdBimSxofUHo+dsQLDejSxfY5krK/73UWTWqVUedOVa35Yum43GlUvaevjyv+OcW4kQAIfCFB4eSWQQBAE7tx7hCadR6rSBWnyxZj6yyT4NmMqFM2fA7FiRrcdKfWn8sh2w7zBNrGSDHHSxPFs0mKI0sKJPfBNui9tx8oX9qtXr7F8Wl/bY97LV/2UgI7o1VRJnjQRS/nynjmyI0QQpD18/AT5K7RFmSK50KNNTZVZlP+WjJlkZo0mGcu2vSdg0uA2SoochXfv4TNo0nkUFk/upWovjfbi5Wt4e3vCy9MzUEoiXT+UbIaKJfOiTcMK+Ofpc+Qq1QI5vk2HFy9fqTICacVqdEbeHzKrGkxpjpISUkmDjN+jdU2bOIqE9h89D5sWDAk2yybiEyFCBCybGnKN7ra9x9G653hMHtI2QKmKfM6KjXuxe/lolcUOKo49hs7E/qNnVXZTmmQEm3YZFSC7fPLcH6jRYoC68fg+a3olWK16jMWOZSNVttdouw6egsj6npVj1M2GCO/C1TsUT/v4yM1CocrtkSdnJgzu2tB2vFyzcu5GhvfxP8+Qt3xrteBR4m80iZfEb0i3xkreRPamzl+P5dP6BKizNVPSIHPJUbwpalcqrDLyQbXsxZqomwSRYkN4HW8Wz/16SV0jxvUfXEmD47UkTxfkScDWxSOU9EqT67RMve6I5OOj6sSlCdPlG/Zg76qxAZ5gFK7aUf19DuneSIl/tiKN1N9S3cpFbaf0/v179Tu56WEjARJwDwIUXveIE2f5HxGQL9qjp37FgWPnlfhe/POakkz5ohN5MB6T79h3Ei17jFULckT2jFpG479l+oYorZ7VXy2cMprIhOwAYb9wSsohvivaGF1aVFOZWmlB1fBKBsr/zRvMG9cNW3YfRdveEz8SV8leZi5UX2XWREYchVey1CKlGdOmQLVyBdUXvpRVmGkyf8nKSQnCuq0H1a4WvdvXQa1Wg5SwiZx/X7ypTbY/RXgdd2mQbJ1kkueM6YKs36QOcpqhEV7J0K7Zsh/HN08NMJ7s0CHnMnFQG+T5/psg4zhxzhpMmLUKv+yerY4X5gUqtVXzk4yhtJ7DZqqs8ZZFw9SNkZRbSNmFcQNjZ1Sq1EFimiVDSltJg5SO2Dfjmpo9ujOyZfr3cb2j8ErJQ6se4z7+HEA98peyC8kWf7ip8lafa9/MCK/Is8TZjPBKycXI3s1swhvYLhyZCtZH3cpF1NxCI7xyoylPVOTGxb4Z8Tm6cbL6+zVKGhyZ1mkzWB02a1RniNgWrNQOb9+9Q4NqJdTN7lfJEoaq/tjM3xD7kAAJOJ8Ahdf5jPkJYYyACFDL7mNVhnfd3EE2uZFM29dpkmNMvxZo02s8pCbW+H1wwitZxRu37gXIQgZWYxuU8MpnXfzrGjbOH6JqZfuOmotti4erL337lrtMS5W5lBriwMYXaZdaRSOjLTWidSoVCXHbMnnUPmLKUhzdMAkd+09GssTxIfWVklGUUgApwZBM+eH1k2wZsdBmeB2FSMotqjbtp6TEvi7T8VKTrPXp83/gwNoJwZY+yHHt+kzE2V8vKXb2TcoVStTsorjJVnRB3bhMW7Be1dcawitjjJm+QpUNGOIvMahXpZiSS2nt+05Sj+tnje4c6F+JsJO666DkTDKZklmWR//yBMJojsIrpSl9Rs5R2eZ4cT/egk1qVyXDLE8HsmZKjSHdGoVaeEUO5Sbtx+8yBFnSYEixPIGQLfGC23YuZ8lmKJQ7G3q3rx0q4bW/zu1PwvFvIyimDTsMV38fcjMlTUpchk9aom5URLxl0V3xgt+jY9MqgdYph7F/7ng6JBBmCFB4w0woeSL/SwKdBkzB5p1HcWbHDNvHSp3shNmrsGBCD1Rr1k/tHVs5kMVOjhleq8JbvfkAyGL4ABneST2RIW0K29xsGd5yhVRNcnD78Mrj73O/XVKLnuQxv2P20JHz75euo0zd7ko+m3UdpURBakRFsKTMQ7LFUjIh5RJGcxRekYl67Yaa3pbMrPAai+ocF28Fdq1Ihldqtk9sCZjhNepHjTrl0AivLCyUR+SywE4WfXUZOBU7lo6y7TUsn7lk7S4c3ThJiVRQLSg5M0ofpGRDmAclvEbm37Fcw/HzKjbqrRbNyWJC+2Ymwyv9G3caqRY9BrVoTfhKbfz4ga3UQsughFdKabIWbqgWpcnNk1y/GfPXDXRbMsdr6UOGN5Yq57BvxnZpIWV4HYXXGEMWTcqN5a4DpyA3N7KosGnt0v/Lf3b4WSRAAhYIUHgtwOOhYZvAgDHz1BeafW2lnLF88ZVv0EvV/a2Y3tcG4f7Df5C/Qht8FiOa+iLfvWJ0AIkJSpSsCK+sRpda36a1Sis5MHYHkD2CJYNmtA07DqNjv8lB1vDKynzJ8kmNsNHkZwUqtrVlNoOKtmT2cpVuiZQpEuK63z1bhlTqciWzKyva5VGw7DoRlPDK4j2RLaPG2OgXlBCZFV5ZJFW4Sge1c4LcEMiCQPsmMVu06sOitK17jqvMvMie/e4YsiBs9Zb92LNiTIAaXscbl8AyvPJZUnIiC7BkUZhcMyLORjNKDWTxm+PWaFLHLS/EkJgEJbyymOrnKh3UsTKG0YySD0P05bqQWMqOC7NHdwmQ7ZbFa1KmIztS9Bo+SwndjmWj1GIxo4nIyh7UIS1aO3j8PBq0H65qyvt1rBtgoaDs9PBhW7KIWDfnw7ZkQcV34aodkL+/+eO72V40IQviKpXKa6sDD+pakuNWbJAa3n8XfIowy02Zb6SIAWp4ZecLx5IGe+GV+Ul5UZxY/74MRT5XmEupimT92UiABNyDAIXXPeLEWf4HBCTDJItdZLGVbN8k0nT77gNVp3r91j1MGdLuo8fpHfpNgmz9JHW3Un9r33QI783b99TLE6SO8M79R5i7bItNvGV+0kZOWYoZizaqFe1S1yniJDImuzTMHNkp0F0aJJs7ftYqdUy6VElVXefKjfvUDgeyE4KjKDqGQxbEycI441G1/F4e/8rjZckYO2ZYHbNysgBIbhZkZwR55K8WQH2bTi06CuxNa2aFV+YhEiYlKF5eXihbJJfaDUMWCZ777TI27zqCL5MmVBIkUiS1urL3coNqxdViODlW2Nhn80KT4ZXPX7/9EDr1n6K4j5XtuOy2mpPrq3GnEapGvEShnLbFcnKzsH7bQdvWZUEJr4wvpRjb955A9fIFlbTKzcO6bQdVDKcMbadKDKRJbbWUWMi1LKUZsgDv/G+XlRzKgseff8qmrpVSdbqhYO6s6hqWJwGLV+9UmX55YhCS8MrnyMI3edohi+tkcWeM6FHx15UbWLZut3r5h/2LJwzhle3HJDZSJvTL71ewcNV2lQGW8iCjycJQ2RVEatBl1444n3+m/v4cryXZ2q1svR74LHpUtUuDb8SIWLFxj3pb4rRhHdR1Jc1MSYPcUJau0x3li+dB9szp1OceOXUBs5dsVjcuUtPNRgIk4B4EKLzuESfO8j8gcPbCX5DMqMiH1Ni+9vfH559FVwIhWxQFtqjL2D1A6mmTJvp3b1OZvg7h9fLyVF/kZ375U83nh2wZ1B6+9q9rlYzrvOVb1QsVbvjdU/vwyk4PsvhHsmvSHEsart64gynz1kLeSnbrzgNVa5sp/VdoXrcsUn+ZOET68lnyeF4WrmXJkMrWX/ZcXbv1AA6vnxgg2+0oKXKA7Ps6dMIitb+wZMlF1hIniGNZeGVsOb9ZizeqPXPlpkVtc5Y0gZIqeYuekcGTbOeY6ctVtle2akuUII56o17VMh/eCBdcHIPK8L5+7Y+fyrVWC8Z2Lhv10YInEVPZHmvdtkMQwZKMrryyOv+PWVC7UhGVaQ1OeOXmQBa/7dh/Am/evEXmDClRNF8OtUBuwYTuKo5Gk9IGqbmWGl+RbXlVtbyuV2q1jZsauU7lpumq7PMcPw6K5P0OsrvEsxcvTQmvfJaUsMjnyG4LcjMjewNL/bjULttfq4bwyiI2yULL9mxy41bq5x/QvE4ZFSejycJKyUDLmD7eXmjfpDLKFcsd6D68Mo7UlR85eUEt/kuXMqkqjTBk16zwSmmFvNJYbkgkmy7ty6QJ1E1Z/lxZQvy7YAcSIAHXIUDhDSEW8g/ysElLsG3PcfVFVbzA9+rxof0/xK4TTs7kvyYguwLINlIia2wk8F8RkKxt35FzsH/NOCWQrtqCW7TmqnPmvEiABNyTAIU3hLjJhvlSBziwcwM8ff4CbXtNUPWIsm8kGwnYEzDqJh3rUEmJBJxJQJ5CyKP+JAniIlrUKPjzynWVXS1W4Hu1WM6VG4XXlaPDuZFA2CJA4Q0mnlLT923hhlg4obttBfT+o+fU1kuOCx3C1mXBs/kUAvKSgUt/+6mXIUi9JhsJ/C8ISO30+Jkr4XfnPvz936rt6EoU/B4NqpcIsPDsfzGX0H4GhTe0xNifBEjgUwlQeIMhJ/V88lYgebWqvHJVmqw0LlCpnapJdOVHhZ96QfA4EiABEiABEiABEghrBCi8IUS0WrP++CLO5+jZpiZkwdDmXUfVwgkKb1j7U+D5kAAJkAAJkAAJhFUCFN4QInv77kP0GDpDbWkjGV1Z8SyvjT20boJ6bH3z/ouwem38T84roncERPH1xoN/Xv1PPi+sf4ivjyciRfTEwyevw/qp/k/OL3JET/h4e+LRU/LUBVyKfeLF8oUf/+3UgjSCBxA3pi9uPeB3kQ6gCWL56hiGY7ggAQpvKIMi+0uqV032bKKOpPCGEqBDdwqvNX6OR1N49fKk8OrlKaNRePUypfDq5Unh1cvTlUaj8IYQDXnLjiyskL0ydx44pfYqnTu2K5IniU/h1XAlU3g1QLQbgsKrlyeFVy9PCq9+nhRevUwpvHp5utJoFN4QoiFvY6rRvD8iRYqIrBlTo3WD8vgqeULbUczwWrucKbzW+DHDq5ef42gUXv18meHVy5TCq5cnhVcvT1cajcJrMRoUXmsAKbzW+FF49fKj8DqXJzO8+vlSePUypfDq5elKo1F4LUaDwmsNIIXXGj8Kr15+FF7n8qTw6udL4dXLlMKrl6crjUbhtRgNCq81gBRea/wovHr5UXidy5PCq58vhVcvUwqvXp6uNBqF12I0KLzWAFJ4rfGj8OrlR+F1Lk8Kr36+FF69TCm8enm60mgUXovRoPBaA0jhtcaPwquXH4XXuTwpvPr5Unj1MqXw6uXpSqNReC1Gg8JrDSCF1xo/Cq9efhRe5/Kk8OrnS+HVy5TCq5enK41G4bUYDQqvNYAUXmv8KLx6+VF4ncuTwqufL4VXL9OwJLzX/e5i5JSl6u2wr169Rvy4sZDj23RoWa+cenOsriYv46refACObJgU6iGXrNmJ3YfOYNLgNqE+NrQHUHhDS8yhP4XXGkAKrzV+FF69/Ci8zuVJ4dXPl8Krl2lYEd7379+jaPXOyJ45LepXK4YokSPh4p/XsGz9bjSvU8b28iwd9Ci8Oii6wRgUXmtBovBa40fh1cuPwutcnhRe/XwpvHqZhhXhvXX3AfJXaIs9K8cg9ucxPoI0a/Em7D92DjNGdLT9rs+I2eolW52aVUHrnuMR87NouH7zLk6d/x0Z0qZA73Z1MGb6Cuw5dBrx4n6Ood0bI33qZBDhrdq0PxpWL46l63arbHLdKkVRu2JhNfbTZy8waNwC7Dp4Cr4RI6JiybxoUK04IkTwgH2G9/VrfwwcuwA79p/Aa/83SJcqKfp1rIdE8eNoCTIzvBYxUnitAaTwWuNH4dXLj8LrXJ4UXv18Kbx6mVoR3vVb3uHde73zMTNaycIRPur25u1bFK7SARnTfYUqpfMhbcqkiBrF19bv3oPHKFCxLTYvGoZ4cT7Hq9f+yFO2FeaN64qUyRMp4RWR7di0CpIniYdOA6bi6o3baFW/PL7/Nh1mLNyIm7fvYeqw9qpf2Xo90LhGSRTJnwM3/O6q4+eO7aqEuNvg6Xj+4iV6t6+Df548Q4tuY1G9XEGUL54ngPDOWbYFew+dwbCeTeDpGQG7D55G+lTJArzd1gyPoPpQeK3QA0DhtQaQwmuNH4VXLz8Kr3N5Unj186Xw6mVqRXjrt/LXOxmTo00f4x1oz6s37mDSnDU4ePw8RHBTJImPqmULoErp/Kp/k86jkCVDSpVt3bjjCOYs3YwlU3qp34mwyu9qVvhZ/ffU+evw5+UbGNqjsfrvwycvoOfQmdi6eLgSXsca3ja9xiPNV0nV2FkK1cfqWQOQLHE8dey6rQexdN0uzBvXLYDwTpm3Dpt2HsGQ7o2QKkUieHjIi8j1NQqvRZYUXmsAKbzW+FF49fKj8DqXJ4VXP18Kr16mVoTXlTK8jlREeA8d/wV9Rs5WpQj5fsyCLbuPYeyMFdgwbzAadhiO/D9mQaVS+QIV3rnLtuDMhb8woldT9Xv5/617jsOu5aMDFd4BY+bBy8sL9aoUVZnj45unwjeSjzr22OnfVNZXZNm+pEFKH4ZMWKRKGt69e48Cub5F15bVEdk3opYgU3gtYqTwWgNI4bXGj8Krlx+F17k8Kbz6+VJ49TK1Irx6Z2JtNClR8PbyUnWy9q1umyHIlT0j6lQuAn//N0pG+3Sog66DpmHnslG23RscM7yhFd5mXUcjZ9b0qFK6gMrwrprZ37ZQLqgMr/08//r7Jlp2H6uy0VL+oKNReC1SpPBaA0jhtcaPwquXH4XXuTwpvPr5Unj1Mg0rwisZWFmE1qRWKWT+OqWCtO/IWQwevxALJ/bAl0kTqJ/1Hz0PG7YfQu4c36hSAqOFVngrNeqDueO6InGCuCqT3HvEbKyfO0gtmJNsrmRv+3asG2wN74KV25EkYVx8mzE1/N+8QYP2w1CjXCGUKJRTS5ApvBYxUnitAaTwWuNH4dXLj8LrXJ4UXv18Kbx6mYYV4X385BlkJwZZ+HXj1j14eUZQC9dEgLNlSmOD9svFK6jYqDdmjOyIHFnSWRLe5Eni49JVPyW93VvVwHeZP3yOyO7AsfOx+9BpRIrog4ol8qJh9RIf7dKwZfdRTJ67Ftdu3kGUyL4oWegHtGlY4aMs9adGnML7qeT+/zgKrzWAFF5r/Ci8evlReJ3Lk8Krny+FVy/TsCK8ZqkcPfUbug2Zjq2LhmlfJGZ2Dv+rfhRei6QpvNYAUnit8aPw6uVH4XUuTwqvfr4UXr1Mw5vwtu87CSmSJkDTWqX0gnTB0Si8FoNC4bUGkMJrjR+FVy8/Cq9zeVJ49fOl8OplGp6E99Hjp8hXoY3apSH+F7H0gnTB0Si8FoNC4bUGkMJrjR+FVy8/Cq9zeVJ49fOl8OplGp6EVy851x+NwmsxRhReawApvNb4UXj18qPwOpcnhVc/XwqvXqYUXr08XWk0Cq/FaFB4rQGk8FrjR+HVy4/C61yeFF79fCm8eplSePXydKXRwqXwylYdi9fsxMtXr9U7pNs1rmTbPsMxOPuOnEPjTiMC/Njb2wunt01XP6PwWrucKbzW+FF49fKj8DqXJ4VXP18Kr16mFF69PF1ptHAnvPIqvdHTlql3OMuGyFv3HEe3wdOwZ+XYQF9fJ8Lbb9QcLJ/e1xY3eW9JtKiRKbwarmQKrwaIdkP4+ngiUkRPPHzyWu/A4XS0yBE94ePtiUdPyVPXJSD/fsaL5Qu/+y90DRmux6Hw6g0/hVcvT1caLdwJ74RZq3DszEXMHt1ZxeHZ85f4rmhjbFs8HAnixf4oNiK88k7ozQuHBho3ZnitXc4UXmv8mOHVy48ZXufyZIZXP18Kr16mFF69PF1ptHAnvFdv3EaNFgORKf1XqF+1mHrzx3W/uxjS7d9X6tkHSIS3WddRiBkjGqJHjYzvMqdFqwbl1f+XRuG1djlTeK3xo/Dq5UfhdS5PCq9+vhRevUwpvHp5utJo4U54/f3foPvQGfD3f4sr1/zUK+xG9WmOH7/LEGhcHj5+gtt3HyJG9Ki4dec+RkxeijixYqhjpD158caV4ul2c/GK4AFv7wh48eqt283dFSfs7emhXiH54jV56oiP8PT0jICX5KkDpxpDShqi+nrx305NRIVnFF8vPOV3kRai0Xy9tIzjKoOs2LAX85ZvVb4TJYovcmXPiLYNKyJu7M9MTTFv+dYYN6AVvk6dXPU/c+EvVG3aD2d2zICXp6epMVylU7gT3lFTl+HOvUcY1LWBisHOA6fQuuc4LJ3SG2m+ShJiXE6d/wO1Wg3Cme0z1Gv4njz3D/EYdgiagKenB3y8PPHiFW8cdFwnIrteXh54yRsIHTjh7RUBnhE8KLxaaP47SNTI3njKfzu1UPXwAKJE8sbTF/wu0gE0WmRvHcO4xBiyQH/agvXo2qo6cmRJh/sP/8GY6ctx7cYdrJrV35SwOgrvi5ev8ff1W6Z8ySUg2E0i3AlvvbZDVTa3TuUiNgxFqnVE45qlUOrnH0KMz4Fj59Gp/xTsXzNO9WVJQ4jIgu3AkgZr/ByP5qI1vTy5aE0vTxmNi9b0MmVJg16eYaWkQcQ0T9mW6N2uDormz26D5P/mLYpV76RKOiuWzIsFK7dj866jSJroC+w6eArRo0ZBzzY18X3W9OgxdCZWbtyLiD7eiBDBA01qlUbeHzKjYsNeOL55qhrzyrVb6DtyDs79dlm9ra11g/LI90Nm9bvWPccj5mfR4Hf7Hk6c/QPJk8TD8J5NkSRhXLx+7Y+BYxdgx/4TeO3/BulSJUW/jvWQKH4cvQENz8I7ee5abNh+CFOHd0D8uJ/j0PFf0LrXeKyY3leBXrVpH0Rqh/dsojDNWLQRieLHxjfpv4K8hq/7kBn4NmMqdGlRjcKr4bKk8GqAaDcEhVcvTwqvXp4UXv08Kbx6mVoR3pcrZgPv3umdkInRIlWo+1GvE2d/R+3Wg3Bq2/SPMrlDJyzCNb+7GNe/pRLeiXNWqzKH7zKngexkNWvJJuxYOhKRIvrAMcN76aqfTXhFnkvW6ooKJfKgSukCOP/bJbTsPhYLJvZAiiTxlfD+cfk62jWqiFRfJsagcQvUDleDuzbEnGVbsPfQGQzr2USVje0+eBrpUyXDV8kTmjjjT+sS7jK8b96+xbgZK5X0SrBkZ4a2DSsgW6Y0iuCY6SuwevM+7Fo+Wv23CPDspZtx/eZdFahCebKhTcMK8I3kQ+H9tGsuwFEUXg0QKbx6IdqNRuHVj5YZXr1MKbx6eVoR3kcVf9Q7GZOjfbZ0/0c9d+w7iT4jZ2PvqrEf/U5KHXYeOKm2ZxXhPXziF1WnK+39+/fIXaYlxvRrgSwZUgUrvCfP/Y62vSdi1/JRqsRTmmSFZZ1Ty3rllPBmyZASNSv8rH63YcdhzF26BUum9MKUeeuwaecRDOneCKlSJLIdb/KUP6lbuBPeT6IUzEEsabBGlMJrjZ/j0czw6uVJ4dXLU0aj8OplSuHVy9OK8LprhtdeeIVmqTrd0Kr+h9KE4DK8Iqyzl2xWAmu0ibNX4+bt++jfqd5HwitZ3LEzVmDljH54+uwFhkxYpEoa3r17jwK5vkXXltUDfR+CrghTeC2SpPBaA0jhtcaPwquXn+NoFF79fCm8eplSePXytCK8emdibTSp4c1foQ16tKmJIvnsanj936Bojc6oX6UoKpXK91GGV5585yrdAnPHdlWZ1wIV26pdqTKkTaEmZF/SIBneNr0mYPeK0aYyvPbCa392f/19U5VCVCmdH9XLFbR24sEcTeG1iJbCaw0ghdcaPwqvXn4UXufyZIZXP18Kr16mYUV4hcqi1TtUCaesOcqeJR3uPXikMqw3b93Hypn9VG2vlDSs2bJfLSaLEjkSpi/cANmNatHEHkpiqzcfoBb61yhfCK9e++PRP08/quEtVyw3qpUtqGp4W3Qfi4V2Nbz2JQ32wiufK4vXvs2YGv5v3qBB+2GoUa4QShTKqTegdqNReC2ipfBaA0jhtcaPwquXH4XXuTwpvPr5Unj1Mg1Lwitklq/fg3krtuLva7cQOXIk5M7xDdo3roTYn8dQ4EQ8ZZ2Sj7cXbt15oBbl9+lQVy3ql3b45AW1WP/eg8fo3LyqevmW/S4Nl6/6oe+oOTgvuzTEjYXWDSsE2KUhKOHdsvsoZBMBeRdClMi+KFnoB7U+SnaDcFaj8FokS+G1BpDCa40fhVcvPwqvc3lSePXzpfDqZRrWhDckOo6L1kLq786/p/BajB6F1xpACq81fhRevfwovM7lSeHVz5fCq5cphVcvT1cajcJrMRoUXmsAKbzW+FF49fKj8DqXJ4VXP18Kr16mFF69PF1pNAqvxWhQeK0BpPBa40fh1cuPwutcnhRe/XwpvHqZhjfh1UvPtUej8FqMD4XXGkAKrzV+FF69/Ci8zuVJ4dXPl8KrlymFVy9PVxqNwmsxGhReawApvNb4UXj18qPwOpcnhVc/XwqvXqYUXr08XWk0Cq/FaFB4rQGk8FrjR+HVy4/C61yeFF79fCm8eplSePXydKXRKLwWo0HhrVkcrwAAIABJREFUtQaQwmuNH4VXLz8Kr3N5Unj186Xw6mVK4dXL05VGo/BajAaF1xpACq81fhRevfwovM7lSeHVz5fCq5cphVcvT1cajcJrMRoUXmsAKbzW+FF49fKj8DqXJ4VXP18Kr16mFF69PF1pNAqvxWhQeK0BpPBa40fh1cuPwutcnhRe/XwpvHqZUnj18nSl0Si8FqNB4bUGkMJrjR+FVy8/Cq9zeVJ49fOl8OplSuHVy9OVRqPwWowGhdcaQAqvNX4UXr38KLzO5Unh1c+XwquXKYVXL09XGo3CazEaFF5rACm81vhRePXyo/A6lyeFVz9fCq9ephRevTxdaTQKr8VoUHitAaTwWuNH4dXLj8LrXJ4UXv18Kbx6mVJ49fJ0pdEovBajQeG1BpDCa40fhVcvPwqvc3lSePXzpfDqZUrh1cvTlUaj8FqMBoXXGkAKrzV+FF69/Ci8zuVJ4dXPl8KrlymFVy9PVxqNwhtCNJ6/eIlB4xbiwLFzePv2HdKnToburWogQbzY6kgKr7XLmcJrjR+FVy8/Cq9zeVJ49fOl8OplSuHVy9OVRqPwhhCN/qPn4f7DxxjcrRG8PD0xbNJiXPzrKmaN6kzh1XAlU3g1QLQbwtfHE5EieuLhk9d6Bw6no0WO6Akfb088ekqeui4BDwDxYvnC7/4LXUOG63EovHrDT+HVy9OVRqPwhhCNWq0G4btMadCsThnVc/fB0xgwdj62LR5O4dVwJVN4NUCk8OqFaDcahVc/WgqvXqYUXr08Kbx6ebrSaBTeEKKxfd8JdB4wBVXLFECpwj9i6IRFKJg7K8oXz0Ph1XAlU3g1QKTw6oVI4XUaTxmYwqsXL4VXL08Kr16erjQahTeEaNy6+wDtek9EiqQJsO/IWUSPGhnjBrRC0kRfqCPrt/J3pXhyLiRAAiRAAiRAAp9IYPoY7088koe5OgEKbwgRqtK0HyqW+AlliuTCm7dvMW7GSqzZcgBbFw2Dj483hdfVr3DOjwRIgARIgARMEqDwmgTlht0ovMEE7f3798hUoD4WTOyOr1MnVz1v332IfBXaYPuSEYj/RSzu0mDxomdJg0WADodz0Zpenqzh1ctTRmNJg16mLGnQy5MlDXp5utJoFN4QolGv7VDEiB4VAzrXR0Qfb0yZvxabdhzB2jkD1ZHclsza5UzhtcbP8WgKr16eFF69PCm8+nlSePUypfDq5elKo1F4Q4jG3fuPMHj8Qhw/cxEeHh7ImC4FOjeryn14NV3FFF5NIP9/GAqvXp4UXr08Kbz6eVJ49TKl8Orl6UqjUXgtRoMZXmsAKbzW+DHDq5ef42gUXv18WdKglymFVy9PCq9enq40GoXXYjQovNYAUnit8aPw6uVH4XUuT2Z49fOl8OplSuHVy9OVRqPwWowGhdcaQAqvNX4UXr38KLzO5Unh1c+XwquXKYVXL09XGo3CazEaFF5rACm81vhRePXyo/A6lyeFVz9fCq9ephRevTxdaTQKr8VoUHitAaTwWuNH4dXLj8LrXJ4UXv18Kbx6mVJ49fJ0pdEovBajQeG1BpDCa40fhVcvPwqvc3lSePXzpfDqZUrh1cvTlUaj8FqMBoXXGkAKrzV+FF69/Ci8zuVJ4dXPl8KrlymFVy9PVxqNwmsxGhReawApvNb4UXj18qPwOpcnhVc/XwqvXqYUXr08XWk0Cq/FaFB4rQGk8FrjR+HVy4/C61yeFF79fCm8eplSePXydKXRKLwWo0HhtQaQwmuNH4VXLz8Kr3N5Unj186Xw6mVK4dXL05VGo/BajAaF1xpACq81fhRevfwovM7lSeHVz5fCq5cphVcvT1cajcJrMRoUXmsAKbzW+FF49fKj8DqXJ4VXP18Kr16mFF69PF1pNAqvxWhQeK0BpPBa40fh1cuPwutcnhRe/XwpvHqZUnj18nSl0Si8FqNB4bUGkMJrjR+FVy8/Cq9zeVJ49fOl8OplSuHVy9OVRqPwWowGhdcaQAqvNX4UXr38KLzO5Unh1c+XwquXKYVXL09XGo3CazEaFF5rACm81vhRePXyo/A6lyeFVz9fCq9ephRevTxdaTQKr8VoUHitAaTwWuNH4dXLj8LrXJ4UXv18Kbx6mVJ49fJ0pdEovBajQeG1BpDCa40fhVcvPwqvc3lSePXzpfDqZUrh1cvTlUaj8FqMBoXXGkAKrzV+FF69/Ci8zuVJ4dXPl8KrlymFVy9PVxqNwmsxGhReawApvNb4UXj18qPwOpcnhVc/XwqvXqYUXr08XWk0Cq/FaFB4rQGk8FrjR+HVy4/C61yeFF79fCm8eplSePXydKXRwp3w9hkxG0vX7f4oBv071UOZIrk++vm+I+fQuNOIAD/39vbC6W3T1c8ovNYuZwqvNX4UXr38KLzO5Unh1c+XwquXKYVXL09XGi3cCe/LV6/x2v+NLQbv3r5DpcZ90LtdbXyfNX2gwttv1Bwsn97X9jsPANGiRqbwariSKbwaINoN4evjiUgRPfHwyWu9A4fT0SJH9ISPtycePSVPXZeA/PsZL5Yv/O6/0DVkuB6Hwqs3/BRevTxdabRwJ7yO8Fds2Itl63dj8aSegcZFMrwDxszD5oVDA/09M7zWLmcKrzV+zPDq5ccMr3N5MsOrny+FVy9TCq9enq40WrgW3tev/VGkWidIOUNg2V0JlAhvs66jEDNGNESPGhnfZU6LVg3Kq/8vjcJr7XKm8FrjR+HVy4/C61yeFF79fCm8eplSePXydKXRwrXwzl66GbsPnsbs0Z2DjMnDx09w++5DxIgeFbfu3MeIyUsRJ1YMjOrTXB3z5MW/5RGuFFh3mYtXBA94e0fAi1dv3WXKLj1Pb08PeHlGwIvX5KkjUMLT0zMCXpKnDpxqDClpiOrrxX87NREVnlF8vfCU30VaiEbz9dIyDgdxPQLhVnifPX+JQlXaY1z/VsiSIaXpyJw6/wdqtRqEM9tnwMPDA0+e+5s+lh0/JuDp6QEfL0+8eMUbBx3Xh8iul5cHXvIGQgdOeHtFgGcEDwqvFpr/DhI1sjee8t9OLVQ9PIAokbzx9AW/i3QAjRbZW8cwHMMFCYRb4R0/cxXOX7yEyUPahSosB46dR6f+U7B/zTh1HEsaQoXvo84sabDGz/FoLlrTy5OL1vTyNDK8XLSmjytLGvSxlJFY0qCXpyuNFi6F98GjJ/i5SgdVypA+dbIA8Vi1aR9Eaof3bKJ+PmPRRiSKHxvfpP8Kjx4/RfchM/BtxlTo0qIahVfDlUzh1QDRbggKr16eFF69PCm8+nlSePUypfDq5elKo4VL4R00bgH87tzH2H4tP4rFmOkrsHrzPuxaPlr9TgRYan2v37yrtiIrlCcb2jSsAN9IPhReDVcyhVcDRAqvXoh2o1F49aPltmR6mVJ49fKk8Orl6UqjhUvh1RkAljRYo0nhtcbP8WhmePXypPDq5ckMr36eFF69TCm8enm60mgUXovRoPBaA0jhtcaPwquXn+NoFF79fJnh1cuUwquXJ4VXL09XGo3CazEaFF5rACm81vhRePXyo/A6lyczvPr5Unj1MqXw6uXpSqNReC1Gg8JrDSCF1xo/Cq9efhRe5/Kk8OrnS+HVy5TCq5enK41G4bUYDQqvNYAUXmv8KLx6+VF4ncuTwqufL4VXL1MKr16erjQahddiNCi81gBSeK3xo/Dq5UfhdS5PCq9+vhRevUwpvHp5utJoFF6L0aDwWgNI4bXGj8Krlx+F17k8Kbz6+VJ49TKl8Orl6UqjUXgtRoPCaw0ghdcaPwqvXn4UXufypPDq50vh1cuUwquXpyuNRuG1GA0KrzWAFF5r/Ci8evlReJ3Lk8Krny+FVy9TCq9enq40GoXXYjQovNYAUnit8aPw6uVH4XUuTwqvfr4UXr1MKbx6ebrSaBRei9Gg8FoDSOG1xo/Cq5cfhde5PCm8+vlSePUypfDq5elKo1F4LUaDwmsNIIXXGj8Kr15+FF7n8qTw6udL4dXLlMKrl6crjUbhtRgNCq81gBRea/wovHr5UXidy5PCq58vhVcvUwqvXp6uNBqF12I0KLzWAFJ4rfGj8OrlR+F1Lk8Kr36+FF69TCm8enm60mgUXovRoPBaA0jhtcaPwquXH4XXuTwpvPr5Unj1MqXw6uXpSqNReC1Gg8JrDSCF1xo/Cq9efhRe5/Kk8OrnS+HVy5TCq5enK41G4bUYDQqvNYAUXmv8KLx6+VF4ncuTwqufL4VXL1MKr16erjQahddiNCi81gBSeK3xo/Dq5UfhdS5PCq9+vhRevUwpvHp5utJoFF6L0aDwWgNI4bXGj8Krlx+F17k8Kbz6+VJ49TKl8Orl6UqjUXgtRoPCaw0ghdcaPwqvXn4UXufypPDq50vh1cuUwquXpyuNRuG1GA0KrzWAFF5r/Ci8evlReJ3Lk8Krny+FVy9TCq9enq40GoU3hGgUq9EZV67d+qjX1sXDkTBebFB4rV3OFF5r/Ci8evlReJ3Lk8Krny+FVy9TCq9enq40GoU3hGg8e/4Sb9+9s/W64XcXtVoNwo6lIxEtamQKr8WrmcJrEaDD4b4+nogU0RMPn7zWO3A4HS1yRE/4eHvi0VPy1HUJeACIF8sXfvdf6BoyXI9D4dUbfgqvXp6uNBqFN5TR6DRgCr6IHRNtG1VURzLDG0qADt0pvNb4McOrlx8zvM7lyQyvfr4UXr1MKbx6ebrSaBTeUETj90vXUbPlQGxZOAwxokeh8IaCXVBdKbwaINoNwQyvXp7M8OrlSeHVz5PCq5cphVcvT1cajcIbimg06zoa6VMlQ9PapW1HMcMbCoCBdKXwWuPHDK9efszwOpcnhVc/XwqvXqYUXr08XWk0Cq/JaJw6/wdEeLcuGo6oUXxNHsVuJEACJEACJEACJEAC/zUBCq/JCEgpQ57vM6FelaImj2A3EiABEiABEiABEiABVyBA4TURhX1HzqLb4OnYsmg4fCP5mDiCXUiABEiABEiABEiABFyFAIU3hEi8f/8e5Rv0QpkiuVC9XEFXiRvnQQIkQAIkQAIkQAIkYJIAhdckKHYjARIgARIgARIgARJwTwIUXveMG2dNAiRAAiRAAiRAAiRgkgCF1yQodiMBEiABEiABEiABEnBPAhRe94wbZ00CJEACJEACJEACJGCSAIXXJCh2IwESIAESIAESIAEScE8CFF73jBtnTQIkQAIkQAIkQAIkYJIAhdckKHYjARIgARIgARIgARJwTwIUXveMG2dNAiRAAiRAAiRAAiRgkgCF1yQodiMBEiABEiABEiABEnBPAhRe94wbZ00CJEACJEACJEACJGCSAIXXJCh2IwESIAESIAESIAEScE8CFF73jBtnTQIkQAIkQAIkQAIkYJIAhdckKHYjARIgARIgARIgARJwTwIUXveMG2dNAiRAAiRAAiRAAiRgkgCF1yQodiMBEiABEiABEiABEnBPAhRe94wbZ00CJEACJEACJEACJGCSAIXXJCh2IwESIAESIAESIAEScE8CFF73jBtnTQIkQAIkQAIkQAIkYJIAhdckKHYjARIgARIgARIgARJwTwIUXveMG2dNAiRAAiRAAiRAAiRgkgCF1yQodiMBEiABEiABEiABEnBPAhRe94wbZ00CJEACJEACJEACJGCSAIXXJCh2IwESIAESIAESIAEScE8CFF73jBtnTQIkQAIkQAIkQAIkYJIAhdckKHYjARIgARIgARIgARJwTwIUXveMG2dNAiRAAiRAAiRAAiRgkgCF1yQodiMBEiABEiABEiABEnBPAhRe94wbZ00CJEACJEACJEACJGCSAIXXJCh2IwESIAESIAESIAEScE8CFF73jBtnTQIkQAIkQAIkQAIkYJIAhdckKHYjARIgARIgARIgARJwTwIUXveMG2dNAiRAAiRAAiRAAiRgkgCF1yQodiMBEiABEiABEiABEnBPAhRe94wbZ00CJEACJEACJEACJGCSAIXXJCh2IwESIAESIAESIAEScE8CFF73jBtnTQIkQAIkQAIkQAIkYJIAhdckKHYjARIgARIgARIgARJwTwIUXveMG2dNAiRAAiRAAiRAAiRgkgCF1yQodiMBEiABEiABEiABEnBPAhRe94wbZ00CJEACJEACJEACJGCSAIXXJCh2IwESIAESIAESIAEScE8CFF73jBtnTQIkQAIkQAIkQAIkYJIAhdckKHYjARIgARIgARIgARJwTwIUXveMG2dNAiRAAiRAAiRAAiRgkgCF1yQodiMBEiABEiABEiABEnBPAhRe94wbZ00CJEACJEACJEACJGCSAIXXJCh2IwESIAESIAESIAEScE8CFF73jBtnTQIkQAIkQAIkQAIkYJIAhdckKHYjARIgARIgARIgARJwTwIUXveMG2dNAiRAAiRAAiRAAiRgkgCF1yQodiMBEiABEiABEiABEnBPAhRe94wbZ00CJEACJEACJEACJGCSAIXXJCh2IwESIAESIAESIAEScE8CFF73jBtnTQIkQAIkQAIkQAIkYJIAhdckKHYjARIgARIgARIgARJwTwIUXveMG2dNAiRAAiRAAiRAAiRgkgCF1yQodiMBEiABEiABEiABEnBPAhRe94wbZ00CJEACJEACJEACJGCSAIXXJCh2IwESIAESIAESIAEScE8CFF73jBtnHU4IpP+pdohnmjhBXGxeODTEfis37oWPjzeKF/g+xL6BdajcpC/ifB4D4wa0MnX8lt3HsHz9Hvxy8TJevHqNeHFiIvWXSVCsQA7k//FbRIjgYWqc8Njptz+volz9npg8pB1yZc8QIoLH/zzDzMUbsX3fCdy4dQ8RfbyRNmVSVCjxE4rlzxHi8YF1OHzyAs5e+AsNq5cI8OtVm/ah+5AZpuf2SR/Og0iABEhAMwEKr2agHI4EdBIQubBvo6ctR6yY0VGjfCHbj6NG8UXB3FlD/NjqzQcgWtTImDS4TYh9rQjvu3fv0WnAZGzccQQ5s36N/LmyIGpkX1zzu4Mtu47hj8vXMXFQG+T5/ptPmkd4OCg0wnvz1j3UbDUIDx89QbliuZXoPn/xCjv2ncCRU7+qn/XtUDfU2MZMX4F5y7fg+OapAY795eIVbNl9FGWL5kayxPFCPS4PIAESIIH/ggCF97+gzs8kgU8kUKxGZyRJ+MUnSev/Sngl0zhi8lJ0aFoZtSsWDnCm79+/x+rN+yFZ6azfpP5ECmH/sNAIb61Wg/DrH39jwYTuSJk80Uc3SNMWrMfALg1Q6ucfQgUuKOEN1SDsTAIkQAIuQoDC6yKB4DRIwAyBoIT36o3bGD55CY6c/BX+/m+QPnUytKhbDt9lTqOGFdk9df6PAB+RI0s6zBjZEXfvP0L7vpPw9/XbePT4CaJE8UWaL5OgSa1SAaTUTEnD27fvkKdsKyRN9IUSMDPt4PHzGD9zFX7986p6FJ8za3q0bVQRieLHsR1eoWFvldmW3y1btxvX/O4icfw4aNOwAvL9mEX1GzBmHlZu3Ic9K8dAst5Ge/nqNXKVbokKxfOgY7Mq6sfnL17GuBkrcfLcH/D0jICUyROiWe0yyPFtOvX75y9eIluRxujcvCrknBat3oGbt+9hQOf6KFnoB0gJwZAJC1UJgfxe5P3BoydqrMWTeto++96Dx5Cs/J5Dp/Hs+UskThgXlUvlU//z8Pi3pGPFhr2YtWQTrvvdRfy4sZAhTXJs2HE4xLKBC79fgbBpVb/cR6UHMgmZW9HqnRSPFdP7qnkNm7gYUt7SqXlVLFi5XWXcY0SLgkql8qFprVKqj8ju1PnrAoRPSlDO7ZyFfUfOoXGnEWq8NF8lsfWZv2Kb4nTD7y5ifhYNRfJmR4t65eAbyScA0wbVikNiIlnif548V9dqr7a18GWyhLaxdh88jRmLNuCPyzdU6UvSRPFUaUb1cgXNXFLsQwIkQAIfEaDw8qIgATciEJjw3r77UNV7fv5ZNNSpXASRIvpASiGkBnPa8A7Injktfr90HR37TUaUyJHQrnFFdcZS3iAZQan5FAn6NmMqfBHncyV7a7bsx7lfL2HljP5IkjCu6m9GeCXTWL5BL3RqVgU1K/wcIlmRp6ZdRiJ3jm9QomBOJYXTF25Qc1g5o5+SXGkidSJ3IqS1KxZB9GiRMWfpFuw8cBIb5w1GgnixYWRF+7Svg/LF89g+e93Wg+g8cCrWzhmIL5MmwOlf/kS9tkNVnx+/ywjxTqk3Xr15HxZN6omvUye3CW9k30iI/XkMFM77nZLx7FnSqpKBMnW7q7lKackXcWLi4l/XsGrjPiRJ9IVNeEWKKzTshRRJ46N88Z8Ub6mJnTB7Ndo1qmgrS5m9ZDOGTVqsSjx+ypkZr169hgifxC+kGl7j2DWzBuCr5P8Koz34QeMWQGT04LoJSmwl1rOXblay2qhGSSSMFxu7DpzCpLlr0Lt9bVQo/hP8bt/H2BkrlZROH9Hh/4fzQJYMKQMVXpF6iZsIabZv0uDyNT9MmbcOGdOlwPThHZTcGzcR8v+ltlgyzi9fvsag8Qvw/t17rJ41QMntsdO/oU6bIahYMi/y5syEFy9f48Cxc/9/PfYL8ZpiBxIgARIIjACFl9cFCbgRgcCEd+DY+Spjt3XxCCW90qSOtky97ojk44MlU3qpn4WmpOHJ0+fIUbwpurSoZsuqmRHenQdOoUW3MZgwsDV+ypkpRLKl63RHpEg+AbKit+4+QOGqHdXntm9cySa8MWNExdRh7W1jSr/8FdrCXnArNuoNby+vANnleu2G4tUrf8wf380m7pKRNcY2BhRRl8xqr3a1bXImWcX+neqpxX5GmzhnDSbPXYO1swcGqGGV87774LHtXEZOWYqjp3/Dwgk9AizQGzphEfYcPoMN8wZDOOer0AY/ZMuA0X2b2z7DbEnD4PELMW/5VhzbNAWRfSMGynvusi0YMmERDCk2MrwH1k4IMC/J2t7wu4d1cwepcYIqaXDM8EoWW+IgNzjGzZQcLzcRbXtPUOU3ckNjCG/rBuUhWV6jGTckmxYMUeU68qRi0aodOLElYO3w02cvAmTuQ7y42IEESIAE7AhQeHk5kIAbEQhMeEvW6qoynJOHtA1wJiJmE2atwtGNHzK7wQmvLG4Saf71j6t4/M9TPHv+QmXWWtYrh0Y1PqzSNyW8+0+iRfexpoRXSgBylW6hJKlu5aIB5l6nzWCVQV06pbdNeCUTaS+FUg+cMX9dNKlV2vYofsmaneg7aq6SSVlQ5XfnAQpWaod+HeuiTJFcqhQhZ8lm8PL0hIfDLhFv3rxVGdwZIzra5Kxry+qoVrZAgLlJtll4zh7dOcDPHYVXssB/XrkBT0/PAP3evXun/vvsjpkqk9us62j1mUY5hfzOrPAa2Vszwrt29gBVNiDCu2rzPhxcOyHAvKTWVyT31Lbp8PbyNC28kgVu23siFk/+cMNgNCmnyFyovspkd2hSOUimx89chNQhzxnTRZWGyHXYY+hMFC/4vdpR5Os0yREzxocbOTYSIAES+FQCFN5PJcfjSOA/IBCY8OYu0xK5smdU9aX2zZC/bYuHKyEOSnilfrTnsJlIlyqZWtEvJQzRo0VBlSZ9VV1r45olTQuv1MZWatTHVEnDpat+KFGzi5p36cI/Bph7uz4TcfbXS5C5SxPJdBRe+XmmgvXRoGoxNKtTRvWTLKDUEItkSSZR6lDlUfuelWNVLenlq34oXrOLEvmCeT7e2cI3og/ifxErWOGVbGbWTKkxpFujYIVX5pEhTQq0/f8SEsfLJUWS+Da527RgqK10JDTCO2vxJpURDa6kwcgCH1o/EdGjRg5SeKWeV54W7F4xGnFifWZaeB2vM/vztL82jQyv403EmQt/oWrTfpg1qrOqOZenE1K/K+PKDYu0VCkSoWPTKvg+a/r/4K+OH0kCJBAWCFB4w0IUeQ7hhkDQGd5Yqt7Tvk2cvVrVixoZ3hotBiBqlI+3JRMBlNpOeeRvv5AqQ746oRbeN2/f4sdSLVR21X7xVmABMjK8skCtXpWAGd7arT9keJdNDTrDG5jwys+6DJyGwyd/wfYlI1GiVhdkz5JOLYqSZnymZJTtH787zi8oOZN+UvogdbtStmHfHDO8knmXMgPJfAbV9hw6g6ZdRn20AMxshvfcb5dRuXGfIBetiTwai9aWT+ujphFUhld21pDyh2ObJqsSjrEzVqj/dtyWzLGkwZbhndQTGdKmsJ2qLcNbrpDascOs8Nqzki3XRIgl+3zt5l3sWTkaUlfNRgIkQAKhJUDhDS0x9ieB/5BAYMIruxNIlnbr4uFqgZU0kQ15pO4bKaKthlfE6v6Df2z/bZxGgUrt8F2mNGrrKqPJKvpsRRqFWnjleCmjkHKKoHYOkN0H4sX5XC2SK1WnG3y8vbF0Si+bbIvkiKRVL18oQA2vmQyvfP6Js7+jZsuBKjM9ee5aJc2SvTaacLl15wHWzxtsWxQnvxM5lB0LUn+ZONgMb7fB07Fj/0nsXDbKVjcrx9ZtO0TtPmCI/sCxC7Bg5Ta1aMsxMymL+2Txm2QwC1Vup3aDqFb23x0IDJENadGazFsy979fuob547urTKh9E2mVxWODuzZEiUI5gxTeV6/9UbRaJyRPGl/NV5osiJPs8dGNkwJIZmA1vFKHLPOXxYpGkzjLQknHGt6QMryyW4js8mHf1m49oG5kjKcV/+GfID+aBEjATQlQeN00cJx2+CQQmPDK4q2y9Xrgs+hR1S4NvhEjYsXGPZDayGnDOthqQ+Xxvqy8b1G3LJIniY/X/v6qRlLVvG4/hIGdG6gdBSS7KKJ09cYd1Tc0JQ0SFf83b9Gy+1jsPXwG/9feeYBJUWX9+3T39ATAVQEBFXVXgplBXQNgQpICrgKCSlQMBEWFEVBAAWFU0iAiyYACoogSxLAggrpK2KAC66eLovt3MYAKKAyTp/v/nNtzi9s11d1VXbeHnp56Q3Z/AAAgAElEQVRfPc/3fC5TdevWe6u73zp17rkXtTyT2l9+oahQwGW9Nnz0qagZKyWII5ycw9rmonOFkB0+XEjPvfKOqFTAVRqkwNtNaZB3BXNicWJ5leW45N84X3nQyOlU7/hjaUCvTnRyoxOIy7qtWvuxEP9x9/eLKry7/vuDmBB4drM/0l86taZD+YX07of/FJUaWpzdhF6Z+7A4FU/m4vSOA78fEhO6uPzWbwfzaf2H/6K9vx4QaQi8jc5dQH/bsp1YBLnSwmef7xKT4vYdOBizSgMfv/vHn+m2+5+gA7/nU/fOl9M5ospEaOEJrvRgXniCI7xLVrxL3a+9glqe21Tsu+LtD+mb734UUX6uUsEbl7FjmeZ7hNM/uJrHgJ6dLKs08AS95195h265oZ0Yc04d4agsV2lYmDc6rEpDLOEdPXkBcbqLTK/Zf+AQPbP0LarFkxujRMtr5jcCrhoEQMAuAQivXVLYDwSSgECkOrz/b/cemrFgOf390y+EcJ7d7DQhq+pEKBabR2cuog83b6OS0jKxxC+vwMWvmjnPk0WMUxI48sjiMmry/LgivIyJI55c2owXmWARLCwsFvLKUV2ejMQ5xzJ94uN//FukXrAIc+mvVheeI9INeHEKuTkVXpYvljCWV74W88arhc1fsoY+2bGTCgqK6IT6x9MF5zYTlSH4tXy0lAZua+PHn9LMZ14TDwV8XVxmiwWRr/vZ6UcqSbD08rV9tHU7/bLvdzru2DpCwnkC3bVXXyK6xakbnDu7/m//orQ0n8j75aoG/G92Irzcxm+/5wvh3PDxJ/Tj3n2U7k8T5+HauualpFl4X12zkdpdfiFt+sfnlF9QKM7JzFue0zQMFUvry6veE6u48XhwBQerOrw8gZCrRSx7Y6Oo9MB1eLmUG+dKy+oRdlMaWNI5leKrb3bTrwcOUv3j/0BXtmop8rRlFZIk+CiiCyAAAtWMAIS3mg0YugsCIJB8BPhBgVMCOl51UaVyZ8nW20g5vMnWT/QHBEAABHQSgPDqpIm2QAAEagQBzk09s9mpdELd40S0/M31m+nz/4Qv1JGsICC8yToy6BcIgEAiCUB4E0kXbYMACKQkgbtGThcpGL8fOiwmBp5/blOxlDPn6Sb7BuFN9hFC/0AABBJBAMKbCKpoEwRAAARAAARAAARAIGkIQHiTZijQERAAARAAARAAARAAgUQQgPC6pPrjvkKXLdTswzP8Xqqd5af9B4trNghNV5+V7qPMDB8dOFSiqcWa3UytDB+l+330Wz546roTPETUqF4W/YTvTi1IeYXsBsdn0Z79+C3SAfSkelk6mkEbSUgAwutyUCC87gBCeN3xMx8N4dXLE8Krlye3BuHVyxTCq5cnhFcvz2RqDcLrcjQgvO4AQnjd8YPw6uVnbg3Cq58vhFcvUwivXp4QXr08k6k1CK/L0YDwugMI4XXHD8Krlx+EN7E8EeHVzxfCq5cphFcvz2RqDcLrcjQgvO4AQnjd8YPw6uUH4U0sTwivfr4QXr1MIbx6eSZTaxBel6MB4XUHEMLrjh+EVy8/CG9ieVoJr2ffHvLu30uBug0pWK9R4juQYmeA8OodUAivXp7J1BqE1+VoQHjdAYTwuuMH4dXLD8KbWJ5Wwut/cxH533mJypu1oOIRMxLeAd/2zeTb/jGVdumfEoIN4dV7y0B49fJMptYgvC5HA8LrDiCE1x0/CK9efhDexPK0Et6MvBzyfb2Dglm1qTBvdcI7UGtIB3GOQOPTqWjsgoSfL9EngPDqJQzh1cszmVqD8LocDQivO4AQXnf8ILx6+UF4E8vTSnizRtxAnsLD4sSFk5ckNOrqKcinrJxuxkWy9BYPn0HBWnUSf+EJOgOEVy9YCK9ensnUGoTX5WhAeN0BhPC64wfh1csPwptYnmbh5fzdrHH9jJMWD5pA5S3baO1ExvzxFDilKZV26Ue+r7ZTxswHKFi3gTiHZ//PIrJcMngilTfPNs7r/f4b8i+fR8H6Daik/yit/dHdGIRXL1EIr16eydQahNflaEB43QGE8LrjB+HVyw/Cm1ieZuH1bdtEGQsmGCct7dyXSq8boK0TUnC5QY4ee3d/I87H+cIsuenzx4t0Ct5Ku/YXUsybf+NK8r82T/x34YxVCYsAs/CzkHu//zbu80B4td0uoiEIr16eydQahNflaEB43QGE8LrjB+HVyw/Cm1ieZuGVE9YCJ59O3h++1T5xTRXX4uHTybtzm5ggp4q17IOQ3rbdqLTXUFL/LVrUmVMkvD98Q4GTm8QlxaqQl/YcQqVXdxeRZY4wl/YaQoHGTWIOCIQ3JiJHO0B4HeGqVjtDeF0OF4TXHUAIrzt+EF69/CC8ieVpFl45YY1ljyOquieu+ZfPJf/7q8RFseTyZhZe/jdzJDh90bQjkd8KCbYiY/Q/yj7RiKoR7mC9hlQ0fLqR4iH+95j5MUUawqv3noXw6uWZTK1BeF2OBoTXHUAIrzt+EF69/CC8ieUZSXg5+pq+aKrIqY134hpHZamwgMradTMmvkkhldFbjpxyCgOfT83Z5b/z+dO2rqfy7NYkagN//62AweJZOPmlSmA4upsxM0fsF2mfWDTVSLKUchZyuZU3y6biEdOjNgPhjUXZ2d8hvM54Vae9IbwuRwvC6w4ghNcdPwivXn4Q3sTyNAuvrNDAebIsnL4dWyieiWtpW98ljspKaZR5wLIEGf875+3yFkl4zRUceN9AVi3yFhYIoS3tMoDKs1sRFeaLvNvyFq1FtFhu8Yi6WXhlW5xa4du6Tpyb/7u8dSfyFOYTC7B5g/DqvWchvHp5JlNrEF6XowHhdQcQwuuOH4RXLz8Ib2J5moVXCmnBvPVG3qzMo3XSE7W0mTyeo7mZuYNFRQZZjUGWP+PzWW0Z8x4R0i1lt7zrAErbsEIczxunXIhrKDwsBFpOeBOiXZGD66TfakqETL3g41n6g/Ubif7L8/I5yy7tQCUDwqtGQHidEI+9L4Q3NqPqugeE1+XIQXjdAYTwuuMH4dXLD8KbWJ7RhFfm0Tpdcc1c2kweL/Njy1u0MiRWXl0k4VUnuan94Aiyb/O6MME1k3Labz5eCi8LrlqtQkaL1ci1kHCLxTIgvHrvWQivXp7J1BqE1+VoQHjdAYTwuuMH4dXLD8KbWJ7RhFdNKYgkpFa9k2Ir0w+keMp0AZ6sxssJcxUIIY0nn05F46xXWJNRYd7PKprKcs1RXZk+wfupkV4n/eZjZYRbpHRUlEjj6yjKe8O4VE714HJqsv/mc0B49d6zEF69PJOpNQivy9GA8LoDCOF1xw/Cq5cfhDexPFXh/XnLVrEIhCqgWWP7iPSBorHzRUkuVVqt6vP6vt5O3s82iUoMUjxlFFSNnqZtWWdEeWNFYmUfotUEDpsMpwi11WQ4GYG2moBmldJh1T9uQ1aOMJ9DCu/POz4nz769oZJmFfWEEz+aqXcGCG/qjam8oholvAfzC2jg8Cl0Z5+u1Omqi8JGde8vB2jWc6/TR3/fQb8fOkxTxw2ma9peLPZpf1MOTR03iC44r3mlOwHC6+7DAeF1xw/Cq5cfhDexPK2EVxU8mUNbMmAklV3a0Xjlr+7D0Vrf9o/Jt22zyKXlvFr+/yyCLNC8cRTUmBA3eYmIynIN3vLsNhRonh211BenEXh++YnKz78sYh1ctdwZ95Xb5goPVnm8apqEGp1Vc4wLc5eSqOn7/Teib1b1d+U5WcTL2vWgtPdXkWffT+T99Wfyfr09bODkA0PiRzP1zgDhTb0xrXHCO+u5FbR67Ue078BBmvbwkDDhZcHtcccj4t96dr2K/nBMbfJ4iI4/9hgIb4LvfQivXsBZ6T7KzPDRgUMlehuuoa3VyvBRut9Hv+W748mRSCo4LEpe1fTNQ0SN6mWRjPCqMmtEdCvq2spIKldJKLukQ0jyCg9bIuS0gKycbuJv8r/N6QG62Ku5tSzanv17RQSW84WLhzwqTiNKoG1+l9J2bBKRVynisg9Oc5blOfkcLONqWgW3qS6XzBLO5+YtWlkzlnHvts0UaHae1hXudHE+Gu1AeI8G9ao5Z42K8DLSnndNoDt6dwkT3qeeX0E/7PmVpowdZEldjfB+/9Mv1G9YLo2+u7eIACPC6+5GhfC642c+GsKrl6cu4ZWvruMpuaX3iqqmNZYz/1uLKVC3USXhiia8ZgnMzB0UVg+XxZFTILhMV1l2a+M1P8seR0kNzhXR3ljpC/HSUHN9eYIZb1nj+oUtnKGmPcjzqKXLpMBa5Qpb9cuICFfIP5dEE/LbvgfVv+RS2rO/0EgBUfOKo0V7s8b1FTIebx3hePkl83EQ3mQeHXd9g/ASiejuCfWOpe++30t7fjlAZzU9lSY8cBs1P72xoCuF97TGjajvPbl0+y2d6cauV4q/QXjd3YAQXnf8ILx6+Zlb0yG86mSseEpuJfYKE9O6Wl/WXJ9WCu+vL86vtOqZeeKaWkeXe2qO2HJua9r2zWIRCU4DyJw8yFiimNMYEslbLHTB5ciuGxASXlP+sVoqTVJW829j5SdbjUzmiOtFbV65FLMoX3Z+G2pwfJYQXnXlNnl8pHJpqrTzvkiDCBGD8CbmOyEZWoXwElHr6+6m3t3aU58e7Snd76enX1hF737wT/rr0imUnu4Xwjt+xADitIgu7S6l226+1hi78kAwGcax2vaBf/w8Hg8FguCoYxBTnWf5F59R+RfbyFOrDvk799SBLGobnNrkIXf3J/e54NF7xXm8JzSi2rNfS3i/j/YJCiYOo/Ivt4lu+K+4hjKHjg3rks/roYJXn6OSFS9Seo9bKaPn7cbfD99zIwV+3Uu1pyykw6MHhh2XdmEbyhr5RMTLk+fl+yNYkE9ZQ8ZQ2pVHvq8TyaVw2oNU9skm45yHbr5cnK7O8+9Q4fQxgketR54i39nni38vWjSLSv/6OmX2v9f2vaxyFW0/tZw8DU4k5sm/RYHvvrbNTJ5fMnHSj0RyPNptM0tsqUkAwsvC+5e7aebEe+iS888So1xYVEIXXTuIli8YT2c3/6MQ3mAgSPkFhfTmosepQf3jjLth74Gi1Lwzquiq0v1eqpWZRr8h51QL8cx0H2Wke+n3/FIt7SVbI741iyjt7SUUaN6CSnPyEt49ThHx+7108HD8PL1fbSP/jNBkKt7KW3WkQOuOFGjeMuH9P1onSJ98F3l2h8qA8Va84D3jv1knTjg+k/YtWiDGsqxLPyr/SyhKylvaC1PJt/Vd8e/8d3Ur7zWUytp1j3hZ/hkjyPvVDuPvpeMWUOCUJlWCIW3DSvItn0vll3ak8puGUvrwGyiYVYtKnlxDsl+lOdONcbf6t1gdlfe/ypX9rN6xmfTLb6HfooxB7cObyapNxU8eKXMm/yjHqPzqbuTbuKrKPlOxrvFo/73h8ZlHuws4f4IIQHiJ6ObBE+m6jq2pT/cOAnNBYbEQ3vXLptNJjeoL4e3bowP9uGcffbJjJy2ZPYZqZYU+FEhpcHdnIqXBHT/z0amewytfA/PM/MK81XrhWbSmI6VB5qWGiVuzFlQ8YkbC+3+0TiBTEdRX7+Ut24juGCkN82aIcmLmV+6yqoE8Vr2GWK/d1eoJ4rs8wopqieCi5tiW9B8pKkbIHGKjRNrw6SL9QohpXk7EZY4j9U9NWZBtm+vwyrQObkOuMmfFTa0BrE724yoRNXlDSkPqjj6El4iWv/kBzXlhFS2YmkOnntxQlCf74qvvhNjyJnN4W57TjIaNm0Xl5eU057Hh5PN5IbwuPxsQXpcATYfXFOHly+aZ+In+cdYhvOrkJC4nJZa7rSJh13t32WstLGe55xDyvzYvbBEHKbz7xw61FD7zAwLn7VLdRkT794QtyGDVGzV3OFET1qJRkDm2XCVBVG2oeLCxklu1Bq89skTqqnJysptZeGVpN35g4Oi2Vbk02Y7MiVZrFssHE7t9SrX9ILypNqJHrqfGCG/urCX09oatlH+4kDLS08nv99EbL+TSCfVC6QkLl71DL61YT4cLiqjNRefSmHv7Uv26x4YJL9fh5egvV2locdbpND7nVgivy88GhNclwBomvLzqFP+A86ZOAOLarIFmLbQLsA7hNU9Oikd09N4liW1NrbRQ2mtoSPDrNaTCyS+JE8cSXt5HnazmZOKZKrx2qx/opCHFUUanZd91CS/31VgYo+cQKr26O5mFVzLg6w+e0lQ8cJgZmqthyKj60WCmk7+OtiC8OigmZxs1RngThR8pDe7IQnjd8TMfneoR3rAVrip+8NMXT6W0LSEJNlcEcEs3EcIbz6tst9dRlcfL1+4yummuXmBHeNXX8tFWPDNfl1ofN1J1gkSyUIWbzyP7LqOusiydTH+ItsxxpH7KhTHKWneiYL1GlYRXPS5SrV+z4KrpGPLBJJGckrltCG8yj467vkF43fFDhNclPwivS4Cmw2uU8LbtRp6ifEN2GYXuOrcJEd55j4hlbuVqYnrvgKPfmjmibawQVrGYhBTeAyP6ixq7VvmlaiTfibiq6RBWy/wmmo45HUOOsZmJ00UnovXbHOFV9zWXeZN/syqJZn4wSTSrZG0fwpusI+O+XxBelwwR4XUHEMIbm5///ZVip7JLOsZ8ZV+ThFeS4zzEYLNsIZFOooGxyRPpEF5zRDee+qt2+pos+6hL4HKNWhnxDTQ+nYrGLjBSGn7vdZnostXEMnU5XifiqgpnVU5YU9mr6Riy75UeAjaurJTbHO/4RRNebtNKZM0RZ95PPmQ4ecCIt8/JfByEN5lHx13fILzu+CHC65IfhDc6QHWSip0f/lQXXnXlLSbHslsyIk8s42pe2tXlrSkOT4TwqkvEymVodfQ1WdqQY6Ter3Iyl1iVrF4jsbRwNOGNN1IrFqLYvE6gkAtCVDUXNe0movC+uajSohvx9jOW8FrJrVVajTkVJd7+VPfjILzVfQQj9x/C63JsEeF1BxDCG52f05zEVBdeGT3jV8W+zz6mkl5DRR6jFCQZRWSq/DrXbRWHRAiv1etsIWo7NlNp28g1Zt190hJ/NPPOmJljLAWspipI6eLoYdnV3WMKr3jYGBIqE6k7LzvRJNTSaDLKbI7w6oymxhJeqzcKVhMn1fSHqqiAkuhxiLd9CG+85JL/OAivyzGC8LoDCOGNzk+KgohYde4bM2pVU4TX6nW1+iPOUpm+eBoVDZ8uhDjezY7wClnlyhGH86m015BKp8oa15c8+/Ya4hZWtqtrf/Jt+9iQRDtR/Hivxc5x3DfvD99QoG5Dx9yM1IWsWlQ6+FGj3iyfV41qlwx5lBqU/0aH7ukp6sQW5i6107Vqs49aKzeS8OqcuBhLeM2R20h5vQwY5cmwtHC1+aDF0VEIbxzQ1EMgvO4AQnij88sacQN5Cg+LnezUFa3Jwitn9pdntyYuU8abW4G0I7zq63eraKRVNE3N81TvAPWhRsjn1zvIu39PlUV+ZeTRzr1mvnOjRS1VySoeO5+ynplAgV/2UHmLVpRqaR18rWkbVlDglKYka9qao6wy7SPWQhp2vl1jCa9Mi5K1n6NNmItUnkw+1PHDWWmX/sZ1WfVPzDkoOExlbbu5fsNi5/p174MIr26iydMehNflWEB43QGE8Ebmp0bMvIUFpL6uj3RUTRZeNRou+bit2mBHeNVSVFY1Y62ElyNpnu93USC7DZVnh1Ygy1gwIeyhRo0UVsVEIlmaSrKLNOnL9/X2igew0IphcpMPZ5EkTkYPWbz4IY5LcvFqc27TTtx9A1XN0YmsxRxLePkKjRzqGatEvru6CpxKwKo8GQt85mODxVsK3rimctGY+ZbjFjbnYNCEqGJcNeSdnwXC65xZdTkCwutypCC87gBCeCPzU8s58RKsvMWaeZ7Kwmv8GEd4DS6lgkWKf5R1VG1wKrx83rJWncKiW5b5kvv2hKUMWL1mNtd01RENjPZpNT8wWJ1PlWI1eh5rbPi8auUFqlWbCie9VCNkl6/dSCuoiGjrXHzEjvCqKRTendtCE+YqysSZ7wlzVQf5PcSfK968P3wbMb1KzV+2k4Ll7tcjMUdDeBPDNRlahfC6HAUIrzuAEN7I/GTuJ4sHy4hn/8+WNUvVFlJZeGPVLmWp8O7eJfKcdZX+siO8VpFlFt+S/iPF0HA0zc4CAzIlQ4qkukQsSwZHRosmJ04SjVXCsmoRv1GwqhOsTqIsb5ZNgTOyybtzO8mob7RV0dToX8aNt9GBdr3dfXlUo6PVe7esa/+IEdZ4LsmO8Kql4sTDBwtvhDkBampKoHET0Vfe+HuIN145T/5v/nvY94+DFCwdk0rj4RXrGAhvLELV9+8QXpdjB+F1BxDCa80v4lr3w6cbk4FYMsyTi2qy8KokY8mx3bvWlvDm5ZDv6x1CEHnzbV4n/jdvLIU8TnZyYs0LNKgPPPw3btNOWkuka+N7KtoEPim83Fc+l5W8qhE883lY6nkp4fLm4akO6n78IMJbvZ59aE9Rmt1hqPb7HW3hVScNcgoJT7KMtPCJWjeZwfPiIKocy3uA7+3iEdPJ//aS0Phk1Ra1hXkiIj+cy5zhSIPHKTD8UCjznJNlkCG8yTIS+vsB4XXJFMLrDmCihNeqFqi7nlbt0ebJI5FEo+zSDlQyYJTROQhvCEVVCq/VvWZOR7AjvLLPLAqc2yojaZzGIvIocwcJkYgWRY12l7JgBBo3pbKu/SylVF4H5wuzuKh9Zln27t9LfB+yAPHfvPv2UFl2Gwo0zxb/ZzcXV6609tO+wqr9UB3Fs6n3Y6BlG8E33nE0X4adCK+xlHHj0ymYVUc80ESa0Kmm1/C5zJU01HtRPtCJ/Spys/n+8b21SLwlME/i5FQO8fbjxiEiZ108FGa3FuJrvn/EEsoVecNVOQEOwnsUPygJPjWE1yVgCK87gIkSXpkjVx3zyFguWHZ4Yo95aVIzbf7xKJz8Us0Q3m2bQhO7bMzsj1Z6yckdayfCGykfU0wOqkhFsXsfytfJ6sSuonELRJfV/Nl4atOqlSFYVMzia9S9nbGKsnK6iXPKnHEZbZbs3NRprfHC26yFtkUnxH3hIWpwfBbt2R/9AUKOr4zgR6tgwg/c3m2bxMRKc4k58UBZ8Vm0+izxvZE+f3wlqQ6bhNm2G8l5CVKWy67rH1aNRK1Qw282ioeHT3DkzwNv5rQKqz7x9aS9tVg88JUMnhD14QzC6+QbsnrtC+F1OV4QXncAEyG8quyYI6Duels1R8tImyp2fE2e/XvDvtytlgxN5Qiv07zceCcG8QMHZdURP4puhJfvFh43Ksy3XdNWLN6QlyMmBvFmvn+N/EobNZnNd6vkwavTcfRNRNeaZRsCoPIy31uqLLutnVvThZcfUqOlFDj9lrErvDJHXLYfawJsrH6oOd/Bxk2F4Mr71eqzavWWivfne54nmIr7Mbs1FQ+eaDzc8b3GEWn+PLD08tusYN2GYVUjylp1oNIbh0aVWHX1O+bP54gkyhDeWCNfff8O4XU5dhBedwATIbxqXVQ7r5LdXYHeo2WuHX/RF41dEPVL3KruKYT3yHjIH/ho1Q3MQiqislwyrCK6nn7ltZTu99Fv+SWWA228Kj75dJKRWLd3hFgmOW+EkFJzZFhNeyjMW237VMZKdBWlwLhOrO/9leIcMtKnCq+cMCffMIRFh21E2KN1rKYLL7OJllJge1ArdrQrvPL7QpfwijSX3d9QsH4jkc7g3beXAvVCC5ZYLZ9tfkvA/ZD3F0d//YunGpMl+W9yqXCWXPkQyOcpb9ma0rasF6kWwcJ8cUystz7y3JxnLieARsofhvA6vQOrz/4QXpdjBeF1BzAhwmt63eY2kuHuCq2Plq/rzK8V5RdzpAklamvq5BKWY96qs/DKyS+lXfpZQnMa4Y21mpVcCpcjPfyjal4al2XTf+PAqMKrK1fYfMEiyixqnlZeJU6KvJ17RLZr1U915j5XtlCFV+aQc55peetOIsWGBYMXibDzChnCG07AWPyhXkPxB85N1VVmzq7wqmXh3EbpY30nmuv5mms8y+PV7z/5fcZSG+CJkzu2kKw/bX7zwcfzscRvREz1q636pqbr+F+bG1oZkVev7NpfVBkJ1m8gFtTgzxuEN9boVt+/Q3hdjh2E1x3ARAivecJQPPmO7q4q9tHyC1hdGMGI3jlYbtX82j4ZhVdMtio8HPU1ovqDGOkBxanwyohWJDHM4DzDihXZOO/Q//pcETmSmy3hdZBXHPuusLeHjJ45qdhgJbxqFI6Fl6VWlk9LZFWBmhjh5ZE1r66n60HcrvBW9ZsvVTK9X20XYiojrPJONzNQUw+k1MqqH6r0yjd30R44ZdkzqxrRYTWhKzojvycgvPa+h6rjXhBel6MG4XUHMBHCa35152R5WZYg/oIsGj7ddt5lPASsJtVl5D0gSlg5idyZX9snm/CqtVfNr+fVOpzqj7H6IyiXNOWIj3gNv2ML2V09TQqyVY6f+QeP5ZGrD3B+a5BLiXF0KUaEVy4hG62maTz3hp1j5MpZdu9t42FBWWxAjcLx613z6lvGQ9nw6VrrxkJ4QyNc1cKrzm2oilQvy8Uu+DP1TmiSrVWUWf2+sGIkpbfk1lHGmwbrlQxD36X8hoKrYlitLMffOf75jxj57PL7CcJr5xuoeu5To4T3YH4BDRw+he7s05U6XXWR5YjNmL+cFi57h/7vgxeNv7e/KYemjhtEF5zXvNIxEF53N74b4eVXshyl4kLupVd3NzpiTKaoyNeyO0O+qia7qV/qcpKHkWOZVYuKJy+1XeLJ/No+2YQ32spLnL7B5Ym4DqcalVdf9cpcUp5owjWHneQ+WkltecvLxMSadK5ru2OL+G/5elNElAZNCJXfqigb5e83LGJKg5qTaPcec/dpOXK05BUrd1EeESk6rr5pML8alg9TfA4dq9bJvkB4ebJgC1F6TsdmN8LL55KTEavifjVSZnoOITp8yKhMwcCxWPEAACAASURBVG9VOI82EgOn97ZZeM1l1eT9azWBmb+L+TtF5AtXjAmEV8ddmZxt1BjhnfXcClq99iPad+AgTXt4iKXwvrh8La19/x/07y+/hfBW0f3qRnil7JnrWUoR4X/n0jd2X/2qUUa+/ESlQli9WpTRXac/ROY8zGQT3khSqKYwcETb879dRpkiNWqpliaSt6TdqKaIwG59V5RXkgtBcBuihuz+vUYepbl0mPqa1PfQk5bCa85JtBt11vWxUn/U7dynkYTX+AxVRN5UCTFKpNVrKFg5vTcjXSuE9+gJr3yA1DWW0e5ntZY43z/yYVW+qYlUh9jpCmxm4Y1UMi3SNZvzjSG8ur6lkq+dGiO8En3PuybQHb27VBLeNe9uohVv/43G59xK1/V/KKLwfv/TL9RvWC6Nvrs3XdP2YkKE191N7UZ41bqSarREzR0zivX3HBIWBbbqtVl45UpC7q6w8tHqeeQStGL5WYfRXW7ZLDJZ7ywhz4aVVNJzCJVd2lF31x21Z5ZCNcJijr7KurMiylqxmpz59Sb/jRmVjMhzPHGKf0RlHqF6EfxaWdYclfeQHeGV/efoUVm7HsbsdEeAXO5sVOlQ0hQiNRlpAp98YJKrY0UbIzmByGW3CcJL2h4eeCycRHhFZYV9e6Ouhud2fOXxxlsr02IXXMlBrejg9nzmEnrqioVqrd9oD6WqNEN43Y5I8h4P4SWiv23dTrMXrqKFeaOI0x463vyApfCe1rgR9b0nl26/pTPd2PVKMaoQXnc3tw7hVZewVMt6FeYuNQqkx1rmkq9CRgY4ysUF19WSTe6uMvxocwRCrlYUT9RF7TMLmzoxxkkuMPfQaWRFXhVHjcrP51SBcME2JldV1H1Vo4dSwKRoqYSk8JrHI5Ddhkp7Rq+3GWuc1Fqksj+iNBnnFNaqI/6/HeE1l+2Kdd5E/N2ITGXVplglyiIJrxwj2T/1HjQ/ANqNrMe6Vgjv0RPeWGOj++/y+0g+0LpZsMTuw5y68qGMJvOx0e5fdS5Eo+xzdWNAe0lCoMYL77f/+4nuf+Rpen7GSDqh3nH0w55fLYV3/IgBxGkRXdpdSrfdfK0xfEUl5UkylNWzG16vh7yF+VS4fCF5TziRfNfcaOtCgt/touKxtxv7Zi54iwJfbqOSJ8eJf/MPeoh8l18j/rvwrs7kKThMGTNfJc8Jlcs8yUbKViykslWLKK3bAPFP/N/eM1tS+rhZtvpkdyd5HnX/YK3alDXzVaLax9htRuwX+PIzKsm9n7xnZlP6uKeoqG/oQUxstepQxthZ5Dmtacw2y1a+SIEvPhVtON2K7uoiygMxb+Yut9IlT1H5uhWib4H/bDf6yH+X/eT9Sxc8HnZK5p/WYyDJ4/l/+67oHHXs7PZZtsn7+zr1IH+/eysdqjLNemQ28T1aWhYI209ec6x7ym6/4t2v+L5eFNy3N+a9XTL5XjEG6WOfJO9Z5xunk9cq/0Gyl/9bvZ/Mx8bbZz4uI91HxTXsuzOM5f2Tyfvny90gNI7lBwiuFV1cmny/RcVjBlLwf6EV0XjLfOlDLdesNhJ2b5/alIoGdTXOVf7RWuP7hX8jIn2/luSNocCnmyj9/slUq/VV2vuIBpODQI0XXo7uDhv7FHn4vRBvwSCVlpWT359GsyffS5df0oJ40lowEKT8gkJ6c9Hj1KD+ccbo7T9kXZA+OYY3+XuRtm0TBZ+fQsGCfAq2707BW+6x1WnPzm3kmTrC2Dd4893keWNRaFUrUzueqfeTZ+cOCo7Ko+AZLSO271n9InneXEzB6/pTsGMP8ozqLcppxTrOVoeVneR51OPEOW+41WlTYn/v7VeL/x94fqPx38HWHcmz+d3QimGj8yh4SlOigkNEtcKF2rN7F9HzU8izu2KZzuc3OuoDH++ZcNeRcTilCQXvmURUvxEZ3K/rH+J6RgsKjnqSjLFr3IQCo/PIO+z6sHNKFnbHzUmHPZ9+TJ45j4Q+6gNHU7BNp8qHFxwy+uRf/AGl+bx0uKjM2M+45roNKDBtmZPTa9/XLiP1HlE7UWn8TPehd/ydRHIJ19lvVLp/4rkg/qY9/ph0qmnfnXKsxL0X47vICVePh+i4Oul0IAl/izzPPxH6HuItQZ8X4zNw96PiNPz5lt81/J3neXdF6PMe5ftV/e4/vt+R7zMn44B9k59AjRde8xBFivD27dGBftyzjz7ZsZOWzB5DtbIyxaFIaYjvJudcsvRF00XpGLmZZ+1yfqr363+HZO6MbGM/XpjAqo4i72A1E1edLaxWczD33LyfMVu4WTYVj5ge34VaHGWuExxP7q7arLl8lOfUJnT4ofmkVjgoGjOfMmbmUOCUJqLAOotw2vuryP/W4rAeOn3laOSy8kSwfXvIs/9nsepSyeCJohQQbzypKmtcaDEJkTP75qLQjO2K3FPzkqfytbqaiy3TDXQMgmw3WuF/IzVk4cZKk9asSnzp6Fc8bdhNrYi2zLKaBmPO01VL/Okqo1VTUxrUGrN2JhravR+c5PDabVPXfup3nc7KFGr/1HkMVHhYTH51mh5mLHpRryEdPy8kyNhSjwCE1zSmkYSXy5K1PKcZDRs3i8rLy2nOY8PJ5/NCeOP4TKg5rCxH6Tfy6+vZQpRkLqI5f1A9DedieXduE9LEssi5trzFKnMTaVawbNuc5yhqPo7rI9rX+QNlzJRu2y106vqNYk6oi4bZPNOeUwjy75seWjksL0eUAOJ8Xi69Y7UxF+bN+znN01SFq7xFa2JB4hJWcpO1NsOWrc3LCc3YHjQhrCSZzOdVa2fKhRDiuM1cHRJNeI37pKL/rk7k8mC7i3HYFV7z+KsPlhBed4OlCq8ultyjZBbeqljsQv0M+HZsFvW0nX6PMUc5+e245R+7G2gcnbQEaozw5s5aQm9v2Er5hwspIz2d/H4fvfFCrsjbVbdowst1eAsKi0WVhhZnnS4qOiDC6/zelpLE0VhP73uodr3jqajPFaIhGWE0ynRVFA5nwfV+vUOIEkeh+FUs10/lJ3mevMNP9hxVtIoExlr+lY/3FOYTR3jNX5axlqd1fvUkJNRJPdlY51DLs3F0QwovH3ckSt1CnFN9QGCZlAXc7UYKuU2Oygez6ohKCbJsmPpAEBbVadFKLEerClekyK06TlwsnmvhWkXsY/HQ8XdDeEfPJH+alw7WPdW4txIVeY6n3+oSwKW9hlZqQjzIVDwcRnogVEXMLAr82eDPBY+1Vfvx9LmmR3j5M1iU90Y86CyPSWbhVcvnOY262gWkvnGRVRnieaCQEzghvHbJV7/9aozwJmpoILzOycrarPxK2f+nZlQ7y0+HJ9xjSCBLq1jm1FSmS/1i4x9iu9JorGMfYTa7eTnLsIUPNMsp09ItvJKLlFmejHXohsFiYMyR8kgCaTdSyG2al0i1WjGJo/j+xVOpvG13EsvWjrg+VPVi0ARjidGicQvCbh5VeCmrtogUO6004fxutD5CRnvkX43KEbxEKpeQO/l0Mvdf17mdtBPrYU5NSYhHeJ30xe6+NV14db/aT2bh5Xsi0YtdGJV5smqLORdu+PLnqWGrS+3eytivmhGA8LocMAivM4DqEz8/hcuyZPmzJ4Uitj2HiEgav343y5n6464uHMDRp1ib3Ve63I4aHXAigrH6IP8uhV9XmoQ5n9nXbQAd6thXnM5cyzZSLVX5oxFr5S5zbV0+RySJ5nPzFqzXyJB8/jESUXqL2rFuxtcue7v7mR+CpPAmU/6u+kBjXlyFHzh4BTt14Y5YKT/cXjyvgu0ylftBePWtssZMk114Q2/OvhErYpY3PzIXw+l9E2l/80O920gy6vDqGpnkawfC63JMILzOAJojUlJ4Dy19xpjIxNE9Mampc18RHTR+KPftEZOf1EUK7L66ihZVNUcsEy280eTbGc3Q3uYvfFV4+e8yuhpNaGJFCmW/rPazU7+3kkBa5L9KmWZ549QS3a9+nbA191c+KBg1PpMgf1dej/l+8r+9RExGLM9uTbyMK0ejebJisG7DsM+TPF5NQXE6adEJUwhvKJXJrZCZmSe78MZzjzg5Rne9aAivE/rVa18Ir8vxgvA6A2iOkEnh/f1f/xCvijkKxRFbMdPWYnU0Vd6cvFY28oZbdaCS/qMqSbT8B7NkycinjGKKqCWX+qpYpMDZ1Yf21i285qgr17b9vWWoVBlvYbPDZ6yy7LuMvMuJg/y/eQKIeTEJdbnQkgFHOMbiYBbISGKlPny4eTUZqz+x/l5JeDv3FSuqZeWEJhrafdCKdR4df1dziv2vz6W0LevDmo01WVOdRFoV11VTI7zmZcB1jD23AeENpRnJze09DOHVdWcmXzsQXpdjAuF1BtA8OUoK74H/fmdEb1l4I+XnqiLiJL+TpTA9b4TIIy1TpLfycsLhrxvl31kEeQvliGWLiVuxRMKKjDmlwxm9yHurosgLBPzW+BxjZ/mQYZVrq7aoihOXMPPs21tpBa94Uzzkjz2fL9qDSliJLFOEXxcrO+2YhZcfeMqz24j846Mp4lZ9N1atq8hh5Ic2qttIVN3gLVr5Nf67+hlwKwt22NZU4bXDJp59arrwMrNIy8zHwxPCGw+16nEMhNflOEF4nQFUJ6yx2KpLC8vorXylbZVPqIqT09evaiRUyrJd4bW6ymC9hlQ4+SVHAOymDjhq1JS2YBZePmfaW4tjzrQ3ixP3wfxQ4aSag3oN6mvzaA8KqvDKsmVOWejY31wrOezNw1EU8WjCy3/jhxquisFb+otTRTSfl5yOtvFDWPr88WKXWPvqYAvh1UHxSBsQ3iPCqyNdBMKr9/5MptYgvC5HA8JrH6BVdFMVXnNUzSraxK9f0zaupECzFpb5iLF6I1MUpMx5fvlJ5AuzKATqNbJs15zjq57DqXSnL54qXjnHmhwW6zrMf1fZpc98lX7LrOu0ibDUB1nxwSz18VaYUAUymsiq1RGcsnV8wVEOsBJeLl0Xb41PnX0zt8X3dNryOSKqy8LqJt0mkf2UbUN49VKG8B4RXh2TLiG8eu/PZGoNwutyNCC89gHKXEH1lbAqvGr0lltN1OtVmYfKaQqB5tliYk+0yIB5JSo6fMioCezkC9a/fB75318pJmOVjMgTEVddm4y8cnsZL30Y1zKjnJ/s3bdXdIn7xhO0eOU0NZc63goTaiWJaCJrRJnrNqDC3KW68Dhuxyy8soGjOZHO8UUk6QEQXr0DA+ENpeXwpqMKBIRX7/2ZTK1BeF2OBoTXPkCrSRthwrtxpVhsQAhXguucqoLI54uWD6xGHWU+pJMJKKFXxhOMZZQT8apeFbR4hdc8kupkJskn3gl3MpUj1rhK4T1aC05IBpGEV3dk3v6nJ3X2hPDqHUsIr16eEF69PJOpNQivy9GA8NoHaPU6XBXeqliGUvbWXNkgWqTWaklQJ3VrM+aPFxPAODpYOvhRLVEIM3W1+Hrms+/EFeG1Gkk1BYSj4DL9I1HRV2PVOIsKHfbvNPd7qrLvqdeQghWR70h1jN2fsea0AOHVO9YQXr08Ibx6eSZTaxBel6MB4bUP0GpJVlV41Rzfqojw2alPy1cnJUyNThqrtykT1+RyyFKeVVnkYxOZX8kPCxx19pzVkjJvvU+b8PL1q9fB/zvZqhTYvwPt72k8fJ3ShDy161DwP6FXprEqHtg/Q83dE8Krd+whvHp5Qnj18kym1iC8LkcDwmsPYKRX2qrwcktSQnXMto3VMzWtIVq+sHy9bX6dLfsqV0w7Uhonm4L1Gxj1UOMpXxar75H+npXuo8wMn1bh5XOFLVHbopVRCSDefib7cfxAk7Z5HflPPJm8n31MgU83HdWFMJKdl5P+QXid0Iq9L4Q3NiMne0B4ndCqXvtCeF2OF4Q3MkCO2Ka9v4q8u3cRBYPk27GlUu1as/BW5SttdSJVNOFlWffu3EaBM1qGpSMYKRoVq26ZqzlwCkNZr7srLd7g8paLeniihFdKL/9/XoBB54S7RPJw23atDB/51iyi8tWLIi6h7PYcNe14CK/eEYfw6uUJ4dXLM5lag/C6HA0Ib2SA5lfhvKeMhsqjzMLLubW8VYVQ8bk4DYCXMpa1S53cDuoiDCzD6mo/nMJQcuuoKrkOtc+JFF4nbFJlXxbedL+PDv7nS7GkdbBeo1S5tKN2HRBeveghvHp5Qnj18kym1iC8LkcDwhsZoLkSglXup1l4XQ5HlR6ullkr69pfCK+o59u4CfGyu0ejHiqEV+8tIIX3t/wSvQ3X4NYgvHoHH8KrlyeEVy/PZGoNwutyNCC81gDNE9C4SgFLoblOYnUWXmPiWlZtKu01lNIXTTvqr70hvC4/0KbDIbx6eXJrEF69TCG8enlCePXyTKbWILwuRwPCaw3Qbtmu6iy8fOVy4hpXlUjbuj7qAhYubzVbh0N4bWGyvROE1zYq2ztCeG2jsrUjhNcWJts7QXhto6p2O0J4XQ4ZhNcaoExniLagAx9Z3YXXKFnW+HSx7GxVVJeIdstCeF1+oBHh1QvQojUIr17EEF69PCG8enkmU2s1SngP5hfQwOFT6M4+XanTVRcZ47Dug3/Qs0vfpu++30OZGenU/vIL6cFhfSgj3S/2aX9TDk0dN4guOK95pbGD8Fa+neWrfv5LtGVkU0F4zStyJWIVNSdfGBBeJ7Ri74sIb2xGTveA8DolFn1/CK9enhBevTyTqbUaI7yznltBq9d+RPsOHKRpDw8JE95XVm+guscdQy3PaUa/HcynBybOpY5XXUTDBnaH8Nq4W/1vLxF7lbXtJiZqyXJfdpZhre4RXnV1OGYQbcU2Gyhd7wLhdY0wrAEIr16e3BqEVy9TCK9enhBevTyTqbUaI7wSes+7JtAdvbuECa95QGYvXEk7d+2mpx+7r5Lwfv/TL9RvWC6Nvrs3XdP2YqoJEd60LeuprFUHy/tWXYJVyl5m7iDxej9WOkMqRHjVyXl8PUd7JS4Ir96vVwivXp4QXv08Ibx6mUJ49fJMptYgvBajMWjUDDq7+R/pvjt6hAnvaY0bUd97cun2WzrTjV2vFH9LdeGV6QmBxqdTadcBFGjWIqzclroCF+evlrXuRFnj+olVqYonL41Zmqu6R3j5Hsga24c8+38W90O0BSyq4oMP4dVLGcKrlyeEVz9PCK9ephBevTyTqTUIr2k0Vv31I+L0h5XPTxJpDrxxDu/4EQPEv3dpdynddvO1xlGHCsuSaTy19yX48VoKPPtEeLtZdchzWlOi+g0p+MkmosJ88XfPmdnkueByCrz8NHnadCLvXQ/F7E+a10N+v5cKi8tj7pusOwSeHEPBzzaL7vkWfXBUu+n3eSjN56XCkurL86gCNJ2cefp8XioCT23DwikNdbLSKNW/O7UBi9EQ86ydlUb5Kf5bVFU8j8lKq6pT4TxVTADCqwBf98E/adLMxfTcjJF0ZtNTjb+w8AYDQcovKKQ3Fz1ODeofd0R4C0qreMiq5nTBndvEiYJ/W0vBTevIc0Z26H/v3F65A6c0IdodWiGNTm1C9L9vyDtsEnkuvCxmZ30+D6Wn+aiwuPo+OARWvUDBNxYTndKEfJOei3nNidyBZTctzUNF1fgBIpF8nLbtT/OSz+uB8DoFF2P/OrX8lJ+i352aUcVszuMhqp3pp/zC1PwtiglA8w7H1ApNVseWegQgvBVjunzN+zR/yRqaPyWHmp/eOGykWXj79uhAP+7ZR5/s2ElLZo+hWlmZYp9UTGngJXczcweHMVBzUzlvlfcRywAfPkSBU5qS/63F5P3hW3EMpzMU5b1h69OSCikNconiQMs2VHp1aKLj0dqQ0qCXPFIa9PLk1jBpTS9TpDTo5YmUBr08k6k1CC8RzX1xNb313haaPfleOrFhPWN8sjIzyOPxGGXJuIrDsHGzqLy8nOY8Nly86kxF4fUvn0v+91cZHHi53MLcpVHv27Bc3p5DbItfKghvMn2gIbx6RwPCq5cnhFc/TwivXqYQXr08k6m1GiO8ubOW0NsbtlL+4ULKSE8nv99Hb7yQSyfUO4663/4w7fxmd6Vx+XDlLKpf99iwOrwFhcWiSkOLs06n8Tm3pqTwZo24gTyFh0Wk1ltYYGu5XF5Zzbd5najMEKzXyPY9DuG1jcrWjhBeW5hs7wThtY3K9o6I8NpGZWtHCK8tTLZ3gvDaRlXtdqwxwpuokUm1CK8sMxY4masy9Cfv7l0UOKMllTcP5fDq3iC8eolCePXyhPDq5YkIr36eEF69TCG8enkmU2sQXpejkQzCy6XDeHMSWY102XJJ4FIHaQluEEJ43dCrfCyEVy9PCK9enhBe/TwhvHqZQnj18kym1iC8LkfjaAsvTyDLHNdXpCBwHdzS6wbEfUXqIgqxlgSO+ySmAyG8ukiG2oHw6uUJ4dXLE8KrnyeEVy9TCK9ensnUGoTX5WjYEV4WSa5VqyMCa+5uRt4D5Ps6VCrMrfA6WRLYJTbjcAivLpIQXr0kQ61BePVTRQ6vXqYQXr08Ibx6eSZTaxBel6MRS3h5Mlf6omkUzKpNxSNmUKBxE5dnPHK4/81F5H/nJeMfypu1EOeId5NLAhcPmkDlLdvE24yj4yC8jnDF3BkR3piIHO0A4XWEy9bOEF5bmGzvBOG1jcrWjhBeW5iq5U4QXpfDFkt4VSnVKb2+r7ZTxswHRO85ssvi61R4WcY9+/aKKgycEsG1d53U0HWJThwO4dVB8UgbEF69PCG8enlyaxBevUwhvHp5Qnj18kym1iC8LkcjlvDK+rRc9YAXZmDpLe01lMou7Rj3mUXe7mODhazKNIZaQzqI9grmrbfdrjyGS4l5/rdL1N4tbdtN9K+qNgivXtIQXr08Ibx6eUJ49fOE8OplCuHVyzOZWoPwuhwNK+ENrbw1jwLntybvZ5vI9/UOKh4+nXxb1lHa1pCQcsmv0i794jq7KtFF4xaINpwIL1d1kBFd0Ze23UhEewsPk7qiWlydc3gQhNchsBi7Q3j18oTw6uUJ4dXPE8KrlymEVy/PZGoNwutyNPZu2RpWo1aNvnLTwXoNRSRWiqTM6eW/lbXqQCX9RznugVwYonDyEmMiXObkQSKCzGIdqWYu9y3t/VWUtmEFlWe3NuRbdoCj0FKgHXcqzgMgvHGCi3AYhFcvTwivXp4QXv08Ibx6mUJ49fJMptYgvC5H47del5Gc5MWR3Yy8HBEpNW9qqgEv7uBfPFWsYuY0osrn4Fxb83K/fF4ZSbYSXj5n+uvzhHxH2qqq9q56fgivyxvQdDiEVy9PCK9enhBe/TwhvHqZQnj18kym1iC8LkeDhZcnfQVPbSrSGHjjyWO8sYDyZjURTKYliAlj+34mqlWbigdPjNkbOQnOnGvrXz43lINrqsUr0ytk6TKZS2x1IjViHLMjmnaA8GoCWdEMhFcvTwivXp4QXv08Ibx6mUJ49fJMptYgvC5Hg4VX3aSIqtUZrKonyCV81WPtLPYQqXSYIcKK8LKA+99faUh3Wa+7xWQ5GQ3mP3B/WZTLW7Si4iGPuqTh/HAIr3Nm0Y6A8OrlCeHVyxPCq58nhFcvUwivXp7J1BqE1+Vo7Bs7VERyOYpb2n+UUb9WFVormVRXNZNdiJZ/K34o9u2hrHGhiW7magzyfJwzXNauOwVObnKkbFnbblTWtT8Fa9URxxq1ges2oMLcpS4JuDscwuuOn/loCK9enhBevTwhvPp5Qnj1MoXw6uWZTK1BeF2Oxs9vv0Fp762g4iETw1ZSk7m2IooaYclfOdFMdiHWSmkyistpECUDwie7qXV5uT0uf6ZjuWGXeGIeDuGNicjRDhBeR7hi7gzhjYnI8Q6ow+sYWdQDILx6eUJ49fJMptYgvC5H46fdvxiRU3NTslRYJJHlSKtv8zqirNrk27El4sIRHNn17t9L6fPGC4m1yrUVFRg2rCAqPCxSFHjjqHPx5KUR++fy0rUcDuHVgtFoBMKrlyeEVy9PRHj184Tw6mUK4dXLM5lag/C6HI1oC0/YKRUmfgAqUhU4KluYt7pSj2TeLv/Bzmpq/o0ryf/avIiRZZeXrPVwCK9WnATh1csTwquXJ4RXP08Ir16mEF69PJOpNQivy9GItdKa3eYzR1wvypSZo7dShjlaG8huQ2XtelCgcZOYzXLVBjVvN+YBR2kHCK9e8BBevTwhvHp5Qnj184Tw6mUK4dXLM5lag/C6HA1dwhupjq4sN2aVt+uy60lxOIRX7zBAePXyhPDq5Qnh1c8TwquXKYRXL89kaq1GCe/B/AIaOHwK3dmnK3W66iJjHAKBIE2ft4xW/fUjKi0ro3aXX0gTH7iNMjPSxT7tb8qhqeMG0QXnNa80drqEV9blLRkwUpQOk1vWuL5isQi5uEUy3Tw6+gLh1UHxSBsQXr08Ibx6eUJ49fOE8OplCuHVyzOZWqsxwjvruRW0eu1HtO/AQZr28JAw4V32xkZatHwtzXl8ONXKyqCRj86j7HOa0gODb6oy4bWqoysrPVgtXJFMN5GbvkB43dCrfCyEVy9PCK9enhBe/TwhvHqZQnj18kym1mqM8EroPe+aQHf07hImvAPue5zaXXYB9e/ZSez24Zbt9GjeItrwWl4l4f3+p1+o37BcGn13b7qm7cWkK8JrvXBEaPW0VE1nYLgQXr1fBxBevTwhvHp5Qnj184Tw6mUK4dXLM5lag/AS0ZXd76NJowbSFZdmi7H57vu91LnvaPrX2mcoKzPdSGk4rXEj6ntPLt1+S2e6seuVYl9dwisXjlAXqUj1dAYIr/6vAgivXqYQXr08Ibz6eUJ49TKF8OrlmUytQXiJ6OLOg2l27n10yflnibHZ+8sBurrncPpo9Wyqe9wxQnjHjxhAnBbRpd2ldNvN1xpjuP9QiZbx9OzcRp6pIyh4RgsKjnqSPLt3kWfCXUR1G1Bg2jIt50jGRvxpHspMT6NDBaXJ2L1q16eMNC/5/V7KLyyrCLddcQAAGCJJREFUdn1Pxg7zG4g0n5cOF4GnrvHhhSeOPyaddH136upXdW2HhffYOul0QNNvUXXloKvfdY8Jzd3BlnoEILwVEd7cB++gyy4+T4ywVYQ3GAhSfkEhvbnocWpQ/zjjTigqKddyVwS+/IxKcu8nz2lNKCN3IZUueYrK160gX6ce5O93r5ZzJGMjXo+HfD4PlZYFkrF71a5PXq+HfF7w1DVwzJKZ4v7URTTUTka6j4o1fXfq7Vn1bC3D76PiUj2/RdWTgL5eZ6b79DWGlpKKAISXiPrf+xh1uOLP1O/GUHWE9zd/RhNnLKIPVjwp/jdHePv26EA/7tlHn+zYSUtmj6FaWZnib7pSGrgtuTJbwbz1JNMZisbOt1V3N6nuKgedQQ6vA1g2dkVKgw1IDnZBSoMDWDZ3xdLCNkHZ3A0pDTZB2dwNKQ02QVXD3SC8RLR05Xp6acV7NO8JrtKQSTkT59LZzU+jh4b1MYSXy5K1PKcZDRs3i8rLy2nOY8PJ5/MmRHhZcjNzB1OwbgMqzF1aDW8r+12G8NpnZWdPCK8dSvb3gfDaZ2V3TwivXVL29oPw2uNkdy8Ir11S1W+/GiO8ubOW0NsbtlL+4ULKSE8nv99Hb7yQSyfUO47KywM0Zc4rtObdTVRWVkZt25wv6vDKKK5ah7egsFhUaWhx1uk0PudWrcKbNbYPefb/TDxxzbdjC5W27UalvYZWv7vKQY8hvA5g2dgVwmsDkoNdILwOYNncFcJrE5TN3SC8NkHZ3A3CaxNUNdytxghvosZGZ0qDXG1N9jXV0xn4OiG8eu9MCK9enhBevTy5NQivXqYQXr08Ibx6eSZTaxBel6ORKOGtCekMEF6XN5/F4RBevUwhvHp5Qnj184Tw6mUK4dXLM5lag/C6HA2dwutfHlpogreakM4A4XV580F49QM0tQjh1Y8YEV69TCG8enlCePXyTKbWILwuR0Or8L65iPzvvCR6VBPSGSC8Lm8+CK9+gBDehDOF8OpFDOHVyxPCq5dnMrUG4XU5GlqFd+NK8r82r0ZUZ5DYkcPr8gY0HY6UBr08EeHVy5Nbg/DqZQrh1csTwquXZzK1BuF1ORo6hZe74vtqOwVr1Unp2rsqcgivyxsQwqsXICK8CeUJ4dWPF8KrlymEVy/PZGoNwutyNHQLr8vuVLvDIbx6hwwRXr08EeHVyxPCq58nhFcvUwivXp7J1BqE1+VoQHjdAYTwuuNnPhrCq5cnhFcvTwivfp4QXr1MIbx6eSZTaxBel6MB4XUHEMLrjh+EVy8/c2sQXv18kcOrlymEVy9PCK9ensnUGoTX5WhAeN0BhPC64wfh1csPwptYnojw6ucL4dXLFMKrl2cytQbhdTkaEF53ACG87vhBePXyg/AmlieEVz9fCK9ephBevTyTqTUIbzKNBvoCAiAAAiAAAiAAAiCgnQCEVztSNAgCIAACIAACIAACIJBMBCC8yTQa6AsIgAAIgAAIgAAIgIB2AhBe7UjRIAiAAAiAAAiAAAiAQDIRgPAm02gkSV/WffBPGjFhDt17ew8a1O86o1fL3/yAJs54kUbffQv179lJS2/XffAPenbp2/Td93soMyOd2l9+IT04rA9lpPtF+wd+P0QPT1lIm//1OdWpnUX9buxId/bpKv729X+/p8eeeom++vZ7Ki0towvOa0bj7u9PjU88Qfw9EAjS9HnLaNVfP6LSsjJqd/mFNPGB28R5qmrj/l92/TC69MKz6fkZo4zT/vd/P1HX/g/R1W3Op9m592ntTiymn+/8L02Y/iLt+u/3dFKj+vTQsD50+SUtbDGNNh5aL8JmY7t//Jm6DRxH5YEg1Tv+D/TeqzNiHvnt/36iXneNp3+tfcZy35rETwXwj8/+Q7MXrqD/7NpN/jQfNT7pBOp01cV0+y2dYzJ1skNhUQmNfeJZ2vZ/u+i33/Pp9NNOogcG3yQ+I3Y+t7MXrqR3Nvyd9vyyn06oe6z4Lurbo4PRhTfWbSLe59f9v9N5Z55OuQ/eTqee3NBJF13vK79DW//5XHp2+gNGewPue5x6d2tPna66yPU51AbcMHFzv2u9CDQGAgkmAOFNMODq2Dx/WU+b+wqVlpXTu8umC/kMBoP0lwFjqLC4hPrf2FGb8L6yegPVPe4YanlOM/rtYD49MHEudbzqIho2sLtAN2LCXCovL6eHh/enn37eT0NG59FjD91BV1yaTVs//YK++mY3XdW6JaWn+2nK0y/Tr/sP0pLZY8Sxy97YSIuWr6U5jw+nWlkZNPLReZR9TlPx41pVmxTekxvVpycfvYfObv5HcWoWTpb4M5qcol14ozHlB4NOvUfSLTe0o5uuv5o+3LyNHp25mNa9Mk2MQyym0cajqphaneejv/+bJua9qEV4ayK///2wl7rf/jA9MORm8dBZVl5On/37a3r7va309GN6H8hYcucvWUM3XHMZnVDvOPFAumDJGnr/9SfFQ22sz+30+a/SFZdkU5M/nkRffPX/6L6HZ9PcJ4bTpRecTbv++wPdNHii+Ky1OKsJzV20mrZ9voteXTC+Sm9P/g597uW36ce9v9JTk+6lC1s0F+dPlPC6YeLmfq9SqDgZCLgkAOF1CTAVD+cv65dXvUfH/aEOtfrzOXTz9VfTB5u30atr3hfyednF5wnhLSgspr73TKbdP/5CwWCAzmr2Rxo/YgA1/dPJAkvrv9xNQwfcQG9v2EpffvX/aMXzk6jJaSdFRcaRip27dosf2ZKSUrq4yxBaNu8ROrPpqeK4afOW0b4DB+mJMXdVaodl7d5xT9E/3plv/Li0u+wCQ84/3LKdHs1bRBtey6uyYZPCO+bePvTJjq8pb8JQ2v/bIRFhvOGay2nnN/8TwhuN5ZAHZ1LLc5qGRdu79HuQcgbfJCLEsTaVKUfx7nv4Kdq0Zg55uZ4REfUaNEGMcffOV0Rl6nQ8YvVL59/Nwtuywx205sVcI7LHbyaOO/YYuu+OHhQrwmvuV03g9+a7m4WEvr3kiYjD8vOvv9GkJxcLEc7KyqC7+nalnl2vMj7rvW9oTxs3fUo/7PmV2rY5X7xNkW9qoo01y3V2u9vp9Wcn0lnNThNS6ORz22/YY9T+igtpQM9ONOeFVfSfXaHPFG+H8gvE99A7L02hU05qoPOWi9qW/A69slW2+O5c/FToIVwVXg4isBS/+sZG8fm/olU2jb23r2B2VY/7ac7j99P55zYTx/2y7zfqeMtI2vhaHh1/7DExr8MNEzf3e8yOYQcQOIoEILxHEX6ynlp+WecM6kUjJ80XPxa350yle27rRs+89KYhvBwB3vHFN9T0jyeLCOtrb75P72/+jF6Y+aDxI/inU06kobfeQCc2rEcnNqhHWZnR0wkGjZohoqAsJvK1P796lse99tYHtOKtD2nZ/MoRG/7x4B+Xl54eK85/Zff7aNKogSIazNt33++lzn1Hi1fZsfqha2yk8PI5O96cQ0vnPExvrd9M5PGI18bMj3+co7Hk8Zj13OtiHHjb/sU3NGzsLNr4+kxK8/lidlVlunzN+7Ti7b+FRbxGTZpPDU+oSzmDe1VqS2XqdDxidkzjDokU3prAjx8CbrhtLA3qex1dfdkF4jPt96cZI8TpQfxgxK/ib7v5Wvr+x1+o/72P0TPTHhAPoyyVl5x/Fg28pQul+9MoZ+Jc6tH5CrFvrI0/A7cNn0IfrpwlIrxOPrecHtGu13Ca8chQ8XD+wKPzqFGDumFvcVge+XtApu3E6o+Ov8vv0AVTc6jTLSPp8TF3Eqc3qMK7eu3HQnjnPHa/eLsyaeZi8ng8NGXcIPHfgWBQBBB4e/HVtfTZ51/TrEnDYnbPLRM393vMzmEHEDiKBCC8RxF+sp5aflkvmvUQcaQg+5wm9K/tO0Wk9a6R0w3h5f6/tX4LvbNxK3393x+ooLCIfF4v/W3VU4bwLswbbURnY10vv9qc9dwKWvn8JPED8OXX39GNd46nz99/QfwQyPOxdK9Z9FhYc5zPy319Ovc++nP2GeJvF3ceLGSSf4h52/vLAbq653D6aPVs0X5VbFJ4/++DF0Ve4U9799E/t++k1xZMIJZ3KbzRWHIaAksAv7blSC9HK2vXzrKVmmFmuui1dbTho0+MiBOf95FpC8mflibSRtTNzNTJeFQFW/UciRLemsKPWW795At6cfla+vTfX4m3K+ed1YTuvvUGkVvL9ynLJKc4yY1TYThVh3N8WXjVz/rLqzaI++z5vCN561b3xOGCIupz92Tq3O4SuqtvaL6Ak8/t2CeeI448PzMtR3xH3DNmlvi+uWdgN+N01/YZRfffeaPIR66qTf0OXbpyPb25fov4/lSF9/YRU6lT24up13WhKDnnJHe4KYc+Xfcs/eeb3TRo5HTxEMAPHpxuwnMqOH0r1uaGiZv7PVa/8HcQONoEILxHewSS8PzqlzVHTO8e8yTNnHgPdbzyz2HC+9Z7W2ja3GX06MiBdPH5Z9H3P/0svtA3r5kjrsr8IxjtUvmcHNV4bsZIQ5BlRPGzd58VEWTeWBJff/PDsAglR6cGDp8iosLdrr3cOA1LYu6DdwhB5+1oRnhZeDmVoX2vEdSjyxU09r5+9OzStwzhjcVy8pNLRDoJT+jj61o6Z1zM9BArphzhXbX2Y3pl7sMGJ47wNjjh+DCBtmJqdzyOxi2dCOGtSfzUMeNX7TwZkCd/LVz2V1q/bLp44H3o8WfFxEC5sRRzGgzLpPmz/u6H/xJ5uSueezTi7cCyO3h0Hp3WuKGIwMqHWruf2ylzXqF/fPYlvfjkg3RMnVriPCzlLOHD7+ppnJcjvI+OvM1401MV96f6Hcqcru0zWjxQvvDqX41JazxpddTQm41+Mffzrh4oePMbsb/cOpbuvb274HNHzjSRihXrjY4bJm7u96pginOAgFsCEF63BFPwePXLmr+E+UfvtpuuFTmfaoSXI4PHHlPHeBXOEcF4hJcljPMH50/JoeanNw77QeVoD6cvyBzeqXNeEbOvpz48WOzHr/c5b3f03b1FlEjd+JVrhyv+LCo78MbpFhNnLKIPVjxZZaOmRnj5pJwr+eeWZ9KJDeqGCW8sllxZgX/0uELGa29+QC8rwmp1MZGY/v2zL2n4I0/TpjVPG4LBUfSbrm9r5GNGYipyeGOMR5WBNZ1o46bPxETLvy6dKv5y0bWDxUOBvJ+c5vDWNH78Gtyc5sNpDOd3uIOWzh1HJSVlNG7Kc0ZajXmczcK7cNk7tP3/von4Cp4/wyy7XFmFq4RI2eV2Y31uOed3/LQXiCfazX18uCG7fOzTC1fRzm930+zJ94oucg5vq+vuFrnJLI5VtanfoXxOrnDDubq1a2VSn+4dRGqIiPBedRH1+ktb0S01wstRXWb42ee76I+NG1GQglHf6Lhl4uZ+ryqmOA8IuCUA4XVLMAWPN39Zq5eoCi9HKPm15fTxQ4mjNTPmv0osZk4ivHNfXE0c3eQfKI5qyC0rM0P8CPIMbBZtLjf2868HhHBPyLmN2l1+AXFUb8zjz9DEkQPp0gtCaQu8cTSYIyH8KvGlFe/RvCe4SkOmyCs8u/lp4ge2qjaz8KrnVSO8sVjycdffNpZ+/uWAmKx2Y9crI15CNKacHtHh5gfERD5+lfq3v++gR6YupLUvTxUz5mMxjTYeVcVUnudgfoEQGi4z98TTS4WUyRzHmwdPFBU5+nRvTzxR78lnX6ee111la9JaTeGnjhfnkvKDzq29rhFvDvILCunlle+Jh8Q1ix4Xu/a44xFqf/kF4gHSQx7693++Fa/buToCCy9HVTlt4NvvfqTh458Wb36s8mZ/3PMr3Xr/E6JKw603XWN0gz+z/NmN9rllsWNR5oldk0ffbkyK83i8Qth5wlrvoZNEKtO5Z/6J5i9eQ3//9AuRJlWVm/k7lPvdtd9DQmqnjB0kRJdzeDk9i6WdI+dqDi/3lR8KOP+X85oXzhwd8Y2OWyZu7veqZIpzgYBbAhBetwRT8Hi7wsuSO3LSPJH71/ikBtTxij/Ty6vfcyS8nJu285vdlShy7lr9useKL/2Hpy4U5bJqZ2VSnx7taUj/68X+j89eSi+tWF/p2GkPDxHR3vLyAPErvjXvbqKysjJj5jjLb1VtdoU3FkvuL09cefqFlfThyqdEpCjSFospiw1Xq+ASTic1qkcjh95iVHuIxTTaeFQVU3keLkk1cMRUkW96/nnNaNLIgaKuMG98jQ899gwd+O2QmP1eVFQi6r3aqdJQU/ip4/XNdz/SC8v+KlIX9v56gI49pjZd1PIMuu+OG4261iyqXCWF9ykqLhVvXR4YchNln91ECC+LMtfw/UOdWnR77y7Uu1s7y1tiw0ef0r0Ph/L81Y0fwMbn3Br1c8sPOa26Dq107B9PaWRUmOBJmSxx+w78TueeebpIl/jTqSdW6e1p9R3KKSJjHn+W8ibcLYRXVmlYtnojFRYdqdIg0zO4w1yhhb9DOP830uaWiZv7vUqh4mQg4JIAhNclQBwOAlVFgEsuccmnxx66s6pOifOAgC0CTvL1bTWInUAABEBAMwEIr2agaA4EEkGAo9Udbs6hqeMGG1UoEnEetAkC8RCA8MZDDceAAAhUJQEIb1XSxrlAIE4CnEs55elXRK4tNhBINgIQ3mQbEfQHBEDATADCi3sCBEAABEAABEAABEAgpQlAeFN6eHFxIAACIAACIAACIAACEF7cAyAAAiAAAiAAAiAAAilNAMKb0sOLiwMBEAABEAABEAABEIDw4h4AARAAARAAARAAARBIaQIQ3pQeXlwcCIAACIAACIAACIAAhBf3AAiAAAiAAAiAAAiAQEoTgPCm9PDi4kAABEAABEAABEAABCC8uAdAAARAAARAAARAAARSmgCEN6WHFxcHAiAAAiAAAiAAAiAA4cU9AAIgAAIgAAIgAAIgkNIEILwpPby4OBAAARAAARAAARAAAQgv7gEQAAEQAAEQAAEQAIGUJgDhTenhxcWBAAiAAAiAAAiAAAhAeHEPgAAIgAAIgAAIgAAIpDQBCG9KDy8uDgRAAARAAARAAARAAMKLewAEQAAEQAAEQAAEQCClCUB4U3p4cXEgAAIgAAIgAAIgAAIQXtwDIAACIAACIAACIAACKU0AwpvSw4uLAwEQAAEQAAEQAAEQgPDiHgABEAABEAABEAABEEhpAhDelB5eXBwIgAAIgAAIgAAIgACEF/cACIAACIAACIAACIBAShOA8Kb08OLiQAAEQAAEQAAEQAAEILy4B0AABEAABEAABEAABFKaAIQ3pYcXFwcCIAACIAACIAACIADhxT0AAiAAAiAAAiAAAiCQ0gQgvCk9vLg4EAABEAABEAABEAABCC/uARAAARAAARAAARAAgZQmAOFN6eHFxYEACIAACIAACIAACEB4cQ+AAAiAAAiAAAiAAAikNAEIb0oPLy4OBEAABEAABEAABEAAwot7AARAAARAAARAAARAIKUJQHhTenhxcSAAAiAAAiAAAiAAAhBe3AMgAAIgAAIgAAIgAAIpTQDCm9LDi4sDARAAARAAARAAARCA8OIeAAEQAAEQAAEQAAEQSGkCEN6UHl5cHAiAAAiAAAiAAAiAAIQX9wAIgAAIgAAIgAAIgEBKE4DwpvTw4uJAAARAAARAAARAAAQgvLgHQAAEQAAEQAAEQAAEUpoAhDelhxcXBwIgAAIgAAIgAAIgAOHFPQACIAACIAACIAACIJDSBCC8KT28uDgQAAEQAAEQAAEQAAEIL+4BEAABEAABEAABEACBlCYA4U3p4cXFgQAIgAAIgAAIgAAIQHhxD4AACIAACIAACIAACKQ0AQhvSg8vLg4EQAAEQAAEQAAEQADCi3sABEAABEAABEAABEAgpQlAeFN6eHFxIAACIAACIAACIAACEF7cAyAAAiAAAiAAAiAAAilNAMKb0sOLiwMBEAABEAABEAABEIDw4h4AARAAARAAARAAARBIaQIQ3pQeXlwcCIAACIAACIAACIAAhBf3AAiAAAiAAAiAAAiAQEoTgPCm9PDi4kAABEAABEAABEAABCC8uAdAAARAAARAAARAAARSmgCEN6WHFxcHAiAAAiAAAiAAAiAA4cU9AAIgAAIgAAIgAAIgkNIEILwpPby4OBAAARAAARAAARAAAQgv7gEQAAEQAAEQAAEQAIGUJgDhTenhxcWBAAiAAAiAAAiAAAhAeHEPgAAIgAAIgAAIgAAIpDQBCG9KDy8uDgRAAARAAARAAARA4P8DC9vNH/hKBKQAAAAASUVORK5CYII="
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = make_subplots(\n",
" rows=2,\n",
" cols=1,\n",
" shared_xaxes=True,\n",
" subplot_titles=(\"Symbols with Converged Options\", \"Total Converged Options\"),\n",
")\n",
"\n",
"coverage_pd = daily_coverage.to_pandas()\n",
"\n",
"fig.add_trace(\n",
" go.Scatter(x=coverage_pd[\"timestamp\"], y=coverage_pd[\"n_symbols\"], name=\"Symbols\"),\n",
" row=1,\n",
" col=1,\n",
")\n",
"fig.add_trace(\n",
" go.Scatter(x=coverage_pd[\"timestamp\"], y=coverage_pd[\"n_options\"], name=\"Options\"),\n",
" row=2,\n",
" col=1,\n",
")\n",
"\n",
"fig.update_layout(height=500, title=\"Options Universe Coverage Over Time\")\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "08c127b2",
"metadata": {
"papermill": {
"duration": 0.012595,
"end_time": "2026-06-13T02:33:06.870337+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:06.857742+00:00",
"status": "completed"
}
},
"source": [
"### 8.3 Greeks Validation"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "8b0955f1",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:06.895183Z",
"iopub.status.busy": "2026-06-13T02:33:06.895061Z",
"iopub.status.idle": "2026-06-13T02:33:06.907082Z",
"shell.execute_reply": "2026-06-13T02:33:06.906589Z"
},
"papermill": {
"duration": 0.025039,
"end_time": "2026-06-13T02:33:06.907405+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:06.882366+00:00",
"status": "completed"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"=== Greeks Validity Checks ===\n",
" [PASS] delta_in_bounds: 100.00%\n",
" [PASS] gamma_non_negative: 100.00%\n",
" [PASS] vega_non_negative: 100.00%\n",
" [PASS] theta_typical: 99.97%\n",
" [PASS] iv_positive: 100.00%\n"
]
}
],
"source": [
"print(\"=== Greeks Validity Checks ===\")\n",
"\n",
"checks = converged.select(\n",
" [\n",
" # Delta should be [-1, 1]\n",
" ((pl.col(\"delta\") >= -1.0) & (pl.col(\"delta\") <= 1.0)).mean().alias(\"delta_in_bounds\"),\n",
" # Gamma should be non-negative\n",
" (pl.col(\"gamma\") >= 0).mean().alias(\"gamma_non_negative\"),\n",
" # Vega should be non-negative\n",
" (pl.col(\"vega\") >= 0).mean().alias(\"vega_non_negative\"),\n",
" # Theta typically negative\n",
" (pl.col(\"theta\") <= 0.01).mean().alias(\"theta_typical\"),\n",
" # IV should be positive\n",
" (pl.col(\"implied_vol\") > 0).mean().alias(\"iv_positive\"),\n",
" ]\n",
")\n",
"\n",
"for col in checks.columns:\n",
" pct = checks[col][0] * 100\n",
" status = \"PASS\" if pct > 99.9 else (\"WARN\" if pct > 95 else \"FAIL\")\n",
" print(f\" [{status}] {col}: {pct:.2f}%\")"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "19bede15",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:06.932654Z",
"iopub.status.busy": "2026-06-13T02:33:06.932514Z",
"iopub.status.idle": "2026-06-13T02:33:07.004600Z",
"shell.execute_reply": "2026-06-13T02:33:07.004179Z"
},
"papermill": {
"duration": 0.085307,
"end_time": "2026-06-13T02:33:07.005132+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:06.919825+00:00",
"status": "completed"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"=== Greeks Summary Statistics ===\n"
]
},
{
"data": {
"text/html": [
"<div><style>\n",
".dataframe > thead > tr,\n",
".dataframe > tbody > tr {\n",
" text-align: right;\n",
" white-space: pre-wrap;\n",
"}\n",
"</style>\n",
"<small>shape: (9, 6)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>statistic</th><th>delta</th><th>gamma</th><th>theta</th><th>vega</th><th>implied_vol</th></tr><tr><td>str</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>&quot;count&quot;</td><td>3.588121e6</td><td>3.588121e6</td><td>3.588121e6</td><td>3.588121e6</td><td>3.588121e6</td></tr><tr><td>&quot;null_count&quot;</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr><tr><td>&quot;mean&quot;</td><td>0.08465</td><td>0.007057</td><td>-0.488061</td><td>2.155491</td><td>0.428263</td></tr><tr><td>&quot;std&quot;</td><td>0.542994</td><td>0.020037</td><td>1.034231</td><td>2.955213</td><td>0.180963</td></tr><tr><td>&quot;min&quot;</td><td>-1.0</td><td>0.0</td><td>-73.25705</td><td>0.0</td><td>0.04137</td></tr><tr><td>&quot;25%&quot;</td><td>-0.29631</td><td>0.00043</td><td>-0.55531</td><td>0.19924</td><td>0.32162</td></tr><tr><td>&quot;50%&quot;</td><td>-0.0042</td><td>0.00119</td><td>-0.19009</td><td>0.84598</td><td>0.38551</td></tr><tr><td>&quot;75%&quot;</td><td>0.57121</td><td>0.00462</td><td>-0.04326</td><td>3.04862</td><td>0.4867</td></tr><tr><td>&quot;max&quot;</td><td>1.0</td><td>1.154</td><td>0.02716</td><td>20.70025</td><td>8.91559</td></tr></tbody></table></div>"
],
"text/plain": [
"shape: (9, 6)\n",
"┌────────────┬────────────┬────────────┬────────────┬────────────┬─────────────┐\n",
"│ statistic ┆ delta ┆ gamma ┆ theta ┆ vega ┆ implied_vol │\n",
"│ --- ┆ --- ┆ --- ┆ --- ┆ --- ┆ --- │\n",
"│ str ┆ f64 ┆ f64 ┆ f64 ┆ f64 ┆ f64 │\n",
"╞════════════╪════════════╪════════════╪════════════╪════════════╪═════════════╡\n",
"│ count ┆ 3.588121e6 ┆ 3.588121e6 ┆ 3.588121e6 ┆ 3.588121e6 ┆ 3.588121e6 │\n",
"│ null_count ┆ 0.0 ┆ 0.0 ┆ 0.0 ┆ 0.0 ┆ 0.0 │\n",
"│ mean ┆ 0.08465 ┆ 0.007057 ┆ -0.488061 ┆ 2.155491 ┆ 0.428263 │\n",
"│ std ┆ 0.542994 ┆ 0.020037 ┆ 1.034231 ┆ 2.955213 ┆ 0.180963 │\n",
"│ min ┆ -1.0 ┆ 0.0 ┆ -73.25705 ┆ 0.0 ┆ 0.04137 │\n",
"│ 25% ┆ -0.29631 ┆ 0.00043 ┆ -0.55531 ┆ 0.19924 ┆ 0.32162 │\n",
"│ 50% ┆ -0.0042 ┆ 0.00119 ┆ -0.19009 ┆ 0.84598 ┆ 0.38551 │\n",
"│ 75% ┆ 0.57121 ┆ 0.00462 ┆ -0.04326 ┆ 3.04862 ┆ 0.4867 │\n",
"│ max ┆ 1.0 ┆ 1.154 ┆ 0.02716 ┆ 20.70025 ┆ 8.91559 │\n",
"└────────────┴────────────┴────────────┴────────────┴────────────┴─────────────┘"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"print(\"\\n=== Greeks Summary Statistics ===\")\n",
"converged.select([\"delta\", \"gamma\", \"theta\", \"vega\", \"implied_vol\"]).describe()"
]
},
{
"cell_type": "markdown",
"id": "75cceed2",
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}
},
"source": [
"### 8.4 Point-in-Time Validation"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "06c65aa9",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:07.057175Z",
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"status": "completed"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"=== Point-in-Time Checks ===\n",
"Expiration < Date violations: 0\n",
"Negative days_to_maturity: 0\n",
"[OK] PASSED - No look-ahead bias detected\n"
]
}
],
"source": [
"print(\"=== Point-in-Time Checks ===\")\n",
"\n",
"# Expiration must be >= observation date\n",
"exp_check = options.filter(pl.col(\"expiration\") < pl.col(\"timestamp\"))\n",
"print(f\"Expiration < Date violations: {len(exp_check):,}\")\n",
"\n",
"# Days to maturity must be non-negative\n",
"dtm_check = options.filter(pl.col(\"days_to_maturity\") < 0)\n",
"print(f\"Negative days_to_maturity: {len(dtm_check):,}\")\n",
"\n",
"if len(exp_check) == 0 and len(dtm_check) == 0:\n",
" print(\"[OK] PASSED - No look-ahead bias detected\")\n",
"else:\n",
" print(\"[FAIL] FAILED - Data integrity issue\")"
]
},
{
"cell_type": "markdown",
"id": "84576779",
"metadata": {
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"duration": 0.018407,
"end_time": "2026-06-13T02:33:07.099813+00:00",
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"status": "completed"
}
},
"source": [
"## 9. Information Content Preview\n",
"\n",
"Why does options data predict underlying returns? Let's examine the IV-return\n",
"relationship."
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "7a3c794a",
"metadata": {
"execution": {
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"status": "completed"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"=== IV Change vs Forward Return ===\n",
"Correlation: -0.0814\n",
"Interpretation: Falling IV tends to precede positive returns\n"
]
}
],
"source": [
"# Compute ATM IV per symbol/date\n",
"atm_iv = (\n",
" converged.with_columns((pl.col(\"strike\") / pl.col(\"underlying_price\")).alias(\"moneyness\"))\n",
" .filter(pl.col(\"moneyness\").is_between(0.98, 1.02))\n",
" .filter(pl.col(\"call_put\") == \"C\")\n",
" .with_columns((pl.col(\"moneyness\") - 1.0).abs().alias(\"atm_distance\"))\n",
" .sort([\"timestamp\", \"symbol\", \"atm_distance\"])\n",
" .group_by([\"timestamp\", \"symbol\"])\n",
" .first()\n",
" .select([\"timestamp\", \"symbol\", \"implied_vol\", \"underlying_price\"])\n",
" .rename({\"implied_vol\": \"iv_atm\"})\n",
")\n",
"\n",
"# Join with daily prices and compute returns\n",
"panel = (\n",
" atm_iv.join(\n",
" daily.select([\"timestamp\", \"symbol\", \"close\"]), on=[\"timestamp\", \"symbol\"], how=\"inner\"\n",
" )\n",
" .sort([\"symbol\", \"timestamp\"])\n",
" .with_columns(\n",
" [\n",
" pl.col(\"iv_atm\").shift(5).over(\"symbol\").alias(\"iv_atm_lag5\"),\n",
" pl.col(\"close\").shift(-5).over(\"symbol\").alias(\"close_fwd5\"),\n",
" ]\n",
" )\n",
" .with_columns(\n",
" [\n",
" (pl.col(\"iv_atm\") - pl.col(\"iv_atm_lag5\")).alias(\"iv_change_5d\"),\n",
" ((pl.col(\"close_fwd5\") / pl.col(\"close\")) - 1).alias(\"ret_fwd5\"),\n",
" ]\n",
" )\n",
" .drop_nulls(subset=[\"iv_change_5d\", \"ret_fwd5\"])\n",
")\n",
"\n",
"# Correlation\n",
"correlation = panel.select(pl.corr(\"iv_change_5d\", \"ret_fwd5\").alias(\"corr\"))[0, 0]\n",
"print(\"=== IV Change vs Forward Return ===\")\n",
"print(f\"Correlation: {correlation:.4f}\")\n",
"print(\"Interpretation: Falling IV tends to precede positive returns\")"
]
},
{
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"execution_count": 32,
"id": "0e2f8ec3",
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},
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"status": "completed"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"=== Forward Returns by IV Change Quintile ===\n",
"(Q1 = largest IV decrease, Q5 = largest IV increase)\n"
]
},
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"<small>shape: (5, 4)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>iv_quintile</th><th>mean_ret</th><th>std_ret</th><th>n_obs</th></tr><tr><td>i32</td><td>f64</td><td>f64</td><td>u32</td></tr></thead><tbody><tr><td>1</td><td>0.010277</td><td>0.082509</td><td>243</td></tr><tr><td>2</td><td>0.003726</td><td>0.059334</td><td>486</td></tr><tr><td>3</td><td>0.000134</td><td>0.083193</td><td>243</td></tr><tr><td>4</td><td>-0.001231</td><td>0.069892</td><td>486</td></tr><tr><td>5</td><td>0.00073</td><td>0.108666</td><td>486</td></tr></tbody></table></div>"
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"# Quintile analysis\n",
"panel_ranked = (\n",
" panel.with_columns(pl.col(\"iv_change_5d\").rank().over(\"timestamp\").alias(\"iv_rank_raw\"))\n",
" .with_columns(\n",
" (pl.col(\"iv_rank_raw\") / pl.col(\"iv_rank_raw\").max().over(\"timestamp\") * 100).alias(\n",
" \"iv_pct\"\n",
" )\n",
" )\n",
" .with_columns(\n",
" pl.when(pl.col(\"iv_pct\") <= 20)\n",
" .then(1)\n",
" .when(pl.col(\"iv_pct\") <= 40)\n",
" .then(2)\n",
" .when(pl.col(\"iv_pct\") <= 60)\n",
" .then(3)\n",
" .when(pl.col(\"iv_pct\") <= 80)\n",
" .then(4)\n",
" .otherwise(5)\n",
" .alias(\"iv_quintile\")\n",
" )\n",
")\n",
"\n",
"quintile_returns = (\n",
" panel_ranked.group_by(\"iv_quintile\")\n",
" .agg(\n",
" [\n",
" pl.col(\"ret_fwd5\").mean().alias(\"mean_ret\"),\n",
" pl.col(\"ret_fwd5\").std().alias(\"std_ret\"),\n",
" pl.len().alias(\"n_obs\"),\n",
" ]\n",
" )\n",
" .sort(\"iv_quintile\")\n",
")\n",
"\n",
"print(\"\\n=== Forward Returns by IV Change Quintile ===\")\n",
"print(\"(Q1 = largest IV decrease, Q5 = largest IV increase)\")\n",
"quintile_returns"
]
},
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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.bar(\n",
" quintile_returns.to_pandas(),\n",
" x=\"iv_quintile\",\n",
" y=\"mean_ret\",\n",
" title=\"5-Day Forward Returns by IV Change Quintile\",\n",
" labels={\n",
" \"iv_quintile\": \"IV Change Quintile (1=falling, 5=rising)\",\n",
" \"mean_ret\": \"Mean 5-Day Return\",\n",
" },\n",
")\n",
"fig.update_layout(xaxis=dict(tickmode=\"array\", tickvals=[1, 2, 3, 4, 5]))\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "1870f358",
"metadata": {
"papermill": {
"duration": 0.012166,
"end_time": "2026-06-13T02:33:07.337275+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:07.325109+00:00",
"status": "completed"
}
},
"source": [
"The sign of the −0.08 IV-change vs forward-return correlation is negative: on\n",
"this 8-symbol 2020 slice, larger IV declines line up with higher 5-day forward\n",
"returns and larger IV increases with lower forward returns. The quintile means\n",
"above show how monotonic the relationship is. This notebook does not test\n",
"statistical significance or out-of-sample stability; the IV-based feature is\n",
"evaluated rigorously via IC analysis in Chapter 9."
]
},
{
"cell_type": "markdown",
"id": "ff4aab84",
"metadata": {
"papermill": {
"duration": 0.012287,
"end_time": "2026-06-13T02:33:07.361977+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:07.349690+00:00",
"status": "completed"
}
},
"source": [
"## 10. Data Quality Summary"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "a06c64a4",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-13T02:33:07.387773Z",
"iopub.status.busy": "2026-06-13T02:33:07.387665Z",
"iopub.status.idle": "2026-06-13T02:33:07.417728Z",
"shell.execute_reply": "2026-06-13T02:33:07.417322Z"
},
"papermill": {
"duration": 0.043634,
"end_time": "2026-06-13T02:33:07.418472+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:07.374838+00:00",
"status": "completed"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"======================================================================\n",
"DATA QUALITY SUMMARY: S&P 500 OPTIONS\n",
"======================================================================\n",
"\n",
"1. SCALE\n",
" Total options records: 5,158,876\n",
" Converged IV records: 3,588,121 (69.6%)\n",
" Unique underlyings: 8\n",
" Date range: 2020-01-02 to 2020-12-31\n",
"\n",
"2. COVERAGE\n",
" Trading days: 253\n",
" Avg symbols/day: 8\n",
" Avg options/symbol/day: 2549\n",
"\n",
"3. DATA QUALITY\n",
" Point-in-time: PASS\n",
" Greeks validity: See checks above\n",
" Convergence rate: 69.6%\n",
"\n",
"4. EXECUTION PROXY\n",
" Median ATM spread: 6.1%\n",
"\n",
"5. INFORMATION CONTENT\n",
" IV-Return Correlation: -0.0814\n",
"\n",
"======================================================================\n",
"DATASET SUPPORTS TWO CASE STUDIES:\n",
" sp500_equity_option_analytics — IV features used to trade equities\n",
" sp500_options — short-straddle harvest with daily delta hedge\n",
"======================================================================\n"
]
}
],
"source": [
"total_rows = len(options)\n",
"converged_rows = len(converged)\n",
"converged_pct = converged_rows / total_rows * 100\n",
"\n",
"print(\"=\" * 70)\n",
"print(\"DATA QUALITY SUMMARY: S&P 500 OPTIONS\")\n",
"print(\"=\" * 70)\n",
"\n",
"print(\"\\n1. SCALE\")\n",
"print(f\" Total options records: {total_rows:,}\")\n",
"print(f\" Converged IV records: {converged_rows:,} ({converged_pct:.1f}%)\")\n",
"print(f\" Unique underlyings: {options['symbol'].n_unique()}\")\n",
"print(f\" Date range: {options['timestamp'].min()} to {options['timestamp'].max()}\")\n",
"\n",
"print(\"\\n2. COVERAGE\")\n",
"print(f\" Trading days: {daily_coverage['timestamp'].n_unique()}\")\n",
"print(f\" Avg symbols/day: {daily_coverage['n_symbols'].mean():.0f}\")\n",
"print(f\" Avg options/symbol/day: {options_per_symbol['n_options'].mean():.0f}\")\n",
"\n",
"print(\"\\n3. DATA QUALITY\")\n",
"print(f\" Point-in-time: {'PASS' if len(exp_check) == 0 else 'FAIL'}\")\n",
"print(\" Greeks validity: See checks above\")\n",
"print(f\" Convergence rate: {converged_pct:.1f}%\")\n",
"\n",
"print(\"\\n4. EXECUTION PROXY\")\n",
"print(\n",
" f\" Median ATM spread: {spread_by_moneyness.filter(pl.col('moneyness') == 1.0)['median_spread'][0]:.1%}\"\n",
")\n",
"\n",
"print(\"\\n5. INFORMATION CONTENT\")\n",
"print(f\" IV-Return Correlation: {correlation:.4f}\")\n",
"\n",
"print(\"\\n\" + \"=\" * 70)\n",
"print(\"DATASET SUPPORTS TWO CASE STUDIES:\")\n",
"print(\" sp500_equity_option_analytics — IV features used to trade equities\")\n",
"print(\" sp500_options — short-straddle harvest with daily delta hedge\")\n",
"print(\"=\" * 70)"
]
},
{
"cell_type": "markdown",
"id": "7f641116",
"metadata": {
"papermill": {
"duration": 0.012099,
"end_time": "2026-06-13T02:33:07.443663+00:00",
"exception": false,
"start_time": "2026-06-13T02:33:07.431564+00:00",
"status": "completed"
}
},
"source": [
"## Key Takeaways\n",
"\n",
"1. **Scale (EDA slice)**: ~5.2M option records across 8 representative S&P 500\n",
" underlyings in 2020. The full AlgoSeek panel covers the broader index — this\n",
" notebook intentionally subsamples for fast exploration.\n",
"2. **Structure**: Each underlying carries dozens of expirations and 100+\n",
" strikes per day; chains are 3-D grids (strike × expiration × call/put).\n",
"3. **Quality**: 69.6% of rows carry `iv_convergence == \"Converged\"`. The other\n",
" convergence codes flag extrapolated or solver-failed IVs and should be\n",
" excluded from analysis.\n",
"4. **Greeks**: Pre-computed Black-Scholes sensitivities are well-bounded — Δ in\n",
" [-1, 1], Γ ≥ 0, ν ≥ 0, θ ≤ 0 — at >99.9% of converged rows.\n",
"5. **Volatility Surface**: Smile, skew, and term structure are all visible on\n",
" this slice; the 3-D surface compresses both axes into one plot.\n",
"6. **Information**: 5-day IV changes correlate with 5-day forward equity\n",
" returns at -0.08 on this sample (falling IV → positive returns), motivating\n",
" the IV-based features in Chapter 8.\n",
"7. **Execution**: Median ATM bid-ask spread is ~6%; deep-OTM spreads widen\n",
" sharply, which constrains tradeable strategies to near-the-money strikes.\n",
"\n",
"## Data Limitations\n",
"\n",
"- **No volume/open interest**: Cannot filter for liquidity directly.\n",
"- **Daily snapshots only**: No intraday dynamics for gamma scalping.\n",
"- **Spread as proxy**: Bid-ask is the only execution cost indicator available.\n",
"\n",
"## Next Steps\n",
"\n",
"- `08_options_greeks_computation`: Compute Greeks from scratch and validate\n",
" against the vendor numbers used here.\n",
"- Chapter 8: Build IV surface features for ML.\n",
"- Chapter 9: Model-based feature extraction (PCA, autoencoders).\n",
"- Chapter 12: ML models for equity and options targets.\n",
"- Chapter 16: Backtests using these features."
]
}
],
"metadata": {
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"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
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"input_path": "02_financial_data_universe/07_sp500_options_eda.ipynb",
"output_path": "02_financial_data_universe/07_sp500_options_eda.ipynb",
"parameters": {},
"start_time": "2026-06-13T02:32:59.665412+00:00",
"version": "2.7.0"
},
"jupytext": {
"cell_metadata_filter": "tags,-all"
},
"ml4t_provenance": {
"source_py_blob": "b86062ca21f26a2de4e4973553a657d3f952e52b",
"executed_at": "2026-06-13T02:33:10.524069+00:00",
"executor": "cpu-local",
"production": true,
"parameters": {},
"notes": "executed-state finalization batch (2026-06-13 run)"
}
},
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"nbformat_minor": 5
}
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