{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": []
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"source": [
"# **Assignment #1: EDA & Dataset**\n",
"\n",
"**DATE: March2026**\n",
"\n"
],
"metadata": {
"id": "w84cR3AZIU0e"
}
},
{
"cell_type": "markdown",
"source": [
"# **Part 1: Select a Dataset**\n",
"\n",
"**Stellar Classification**"
],
"metadata": {
"id": "a_vsO0Q1IOMT"
}
},
{
"cell_type": "markdown",
"source": [
" I chose the Stellar Classification dataset from the Sloan Digital Sky Survey (SDSS17), which I found on Kaggle. It has 100,000 rows and 18 columns — mostly numeric stuff like light filters (u, g, r, i, z), sky coordinates, redshift, and some ID columns from the telescope. The question I want to explore is: **can we tell whether something in space is a Star, a Galaxy, or a Quasar just from the numbers the telescope recorded?**"
],
"metadata": {
"id": "GFaHgQJyKwa5"
}
},
{
"cell_type": "markdown",
"source": [
" The target is the **class** column — it tells us if the object is a Star, Galaxy, or Quasar (so 3 categories).\n",
"\n"
],
"metadata": {
"id": "GQ7ITr2dfg64"
}
},
{
"cell_type": "markdown",
"source": [
"
\n"
],
"application/vnd.google.colaboratory.intrinsic+json": {
"type": "dataframe",
"summary": "{\n \"name\": \"df\",\n \"rows\": 3,\n \"fields\": [\n {\n \"column\": \"class\",\n \"properties\": {\n \"dtype\": \"string\",\n \"num_unique_values\": 3,\n \"samples\": [\n \"GALAXY\",\n \"QSO\",\n \"STAR\"\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"alpha\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 3.1391080194373315,\n \"min\": 174.23448485015368,\n \"max\": 180.4743144505685,\n \"num_unique_values\": 3,\n \"samples\": [\n 177.9547265541623,\n 180.4743144505685,\n 174.23448485015368\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"delta\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 1.906650663614723,\n \"min\": 23.49855397289674,\n \"max\": 26.808621332117472,\n \"num_unique_values\": 3,\n \"samples\": [\n 23.513910605874596,\n 26.808621332117472,\n 23.49855397289674\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"u\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0.9502396782933491,\n \"min\": 20.689805313976105,\n \"max\": 22.587379290268313,\n \"num_unique_values\": 3,\n \"samples\": [\n 22.587379290268313,\n 21.547619273245083,\n 20.689805313976105\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"g\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 1.0178943359381043,\n \"min\": 19.153188379642494,\n \"max\": 20.926192992458205,\n \"num_unique_values\": 3,\n \"samples\": [\n 20.906101454453697,\n 20.926192992458205,\n 19.153188379642494\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"r\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0.8463142897208515,\n \"min\": 18.94696902102436,\n \"max\": 20.624089024313065,\n \"num_unique_values\": 3,\n \"samples\": [\n 19.58755174648835,\n 20.624089024313065,\n 18.94696902102436\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"i\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 1.012526408314037,\n \"min\": 18.543735711910717,\n \"max\": 20.431172771478295,\n \"num_unique_values\": 3,\n \"samples\": [\n 18.85198969332997,\n 20.431172771478295,\n 18.543735711910717\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"z\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 1.2503960004171621,\n \"min\": 17.870400410901176,\n \"max\": 20.266731590633405,\n \"num_unique_values\": 3,\n \"samples\": [\n 18.44915649861216,\n 20.266731590633405,\n 17.870400410901176\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"redshift\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 0.8963381776773057,\n \"min\": -0.00011489720327557516,\n \"max\": 1.7196760892911345,\n \"num_unique_values\": 3,\n \"samples\": [\n 0.42159615044475307,\n 1.7196760892911345,\n -0.00011489720327557516\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n }\n ]\n}"
}
},
"metadata": {},
"execution_count": 25
}
]
},
{
"cell_type": "markdown",
"source": [
"Some things that stand out:\n",
"- **Quasars (QSO)** have the highest average redshift (1.72) — makes sense, they're the farthest objects\n",
"- **Stars** have redshift basically at 0 — they're close to us\n",
"- **The light filters** (u, g, r, i, z) get smaller in value as we go from u to z for all classes — this represents how the brightness changes across different wavelengths\n",
"- **Galaxies** tend to be brightest in the z filter (lowest value = brighter), while **Quasars** have more even readings across filters\n"
],
"metadata": {
"id": "5t1bZ99lrZUI"
}
},
{
"cell_type": "markdown",
"source": [
"### Correlation Matrix\n",
"\n",
"Let's check which features are related to each other:\n"
],
"metadata": {
"id": "mWGxpM_OrbZT"
}
},
{
"cell_type": "code",
"source": [
"# correlation between all numeric columns\n",
"print(df.select_dtypes(include=[np.number]).corr().round(2))\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "_NYPXe5TrdQf",
"outputId": "d6de9d00-b553-48d3-8845-69063815d736"
},
"execution_count": 26,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
" alpha delta u g r i z redshift\n",
"alpha 1.00 0.14 -0.00 -0.00 -0.02 -0.02 -0.00 0.00\n",
"delta 0.14 1.00 0.00 0.00 -0.01 -0.00 0.00 0.03\n",
"u -0.00 0.00 1.00 1.00 0.05 0.05 1.00 0.01\n",
"g -0.00 0.00 1.00 1.00 0.06 0.06 1.00 0.02\n",
"r -0.02 -0.01 0.05 0.06 1.00 0.96 0.05 0.43\n",
"i -0.02 -0.00 0.05 0.06 0.96 1.00 0.06 0.49\n",
"z -0.00 0.00 1.00 1.00 0.05 0.06 1.00 0.03\n",
"redshift 0.00 0.03 0.01 0.02 0.43 0.49 0.03 1.00\n"
]
}
]
},
{
"cell_type": "markdown",
"source": [
"Key takeaways:\n",
"- The light filters (u, g, r, i, z) are **highly correlated** with each other — which makes sense, if an object is bright in one filter it's usually bright in others too\n",
"- `redshift` has a moderate correlation with the filters (especially z, i, r) — farther objects tend to appear dimmer\n",
"- `alpha` and `delta` (sky coordinates) have almost no correlation with anything — where something is in the sky doesn't tell us what it is\n"
],
"metadata": {
"id": "G5gfUy85riWE"
}
},
{
"cell_type": "markdown",
"source": [
"### **Research:** relevant questions about my dataset, providing answers using visual elements (e.g. charts or plots) to provide clear insights.\n",
"\n"
],
"metadata": {
"id": "lo68PsjTK0_j"
}
},
{
"cell_type": "markdown",
"source": [
"## Visualizations & Research Questions\n",
"\n",
"Our main goal is: **\"Can we tell whether something in space is a Star, a Galaxy, or a Quasar just from the numbers the telescope recorded?\"**\n",
"\n",
"To answer that, I'm going to break it down into smaller questions:\n",
"\n",
"1. **How are the 3 classes distributed in our dataset?** — Are they balanced or is one class more common?\n",
"2. **How does redshift differ between the 3 classes?** — Redshift tells us how far an object is. Does it help separate them?\n",
"3. **Can the light filters (u, g, r, i, z) help us tell the classes apart?** — These measure brightness at different wavelengths. Do the classes look different?\n",
"4. **How correlated are the features?** — Are some features basically saying the same thing?\n",
"5. **Where are these objects located in the sky?** — Does location (alpha, delta) matter for classification?\n",
"\n",
"Let's go through them one by one.\n"
],
"metadata": {
"id": "AdBNbVQFtXJf"
}
},
{
"cell_type": "markdown",
"source": [
"### Question 1: How are the 3 classes distributed?\n"
],
"metadata": {
"id": "9sUpSaYftf5y"
}
},
{
"cell_type": "code",
"source": [
"# count how many of each class we have\n",
"plt.figure(figsize=(8, 5))\n",
"sns.countplot(x=df['class'])\n",
"plt.title('Distribution of Celestial Object Classes')\n",
"plt.xlabel('Class')\n",
"plt.ylabel('Count')\n",
"plt.show()\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 387
},
"id": "g46YCS6RtiZl",
"outputId": "bbe37b96-1f82-4b3c-d71c-0d74f349627d"
},
"execution_count": 27,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"Galaxies are by far the most common class (around 59,000), followed by Stars (around 21,500) and Quasars (~19,000). The dataset is not perfectly balanced — there are almost 3x more galaxies than quasars. This is important to keep in mind.\n"
],
"metadata": {
"id": "7EBZ0M_Stl-q"
}
},
{
"cell_type": "markdown",
"source": [
"### Question 2: How does redshift differ between the 3 classes?\n"
],
"metadata": {
"id": "xEtmqDFPtqRw"
}
},
{
"cell_type": "code",
"source": [
"# histogram of redshift for each class\n",
"plt.figure(figsize=(10, 5))\n",
"for cls in df['class'].unique():\n",
" sns.histplot(df[df['class'] == cls]['redshift'], label=cls, kde=True, bins=50)\n",
"plt.title('Redshift Distribution by Class')\n",
"plt.xlabel('Redshift')\n",
"plt.ylabel('Count')\n",
"plt.legend()\n",
"plt.show()\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 324
},
"id": "vPDEFWBrtrJh",
"outputId": "af012479-f6cb-4639-ad06-fb2c3364e502"
},
"execution_count": 28,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"# box plot of redshift by class\n",
"plt.figure(figsize=(8, 5))\n",
"sns.boxplot(x=df['class'], y=df['redshift'])\n",
"plt.title('Redshift by Class')\n",
"plt.xlabel('Class')\n",
"plt.ylabel('Redshift')\n",
"plt.show()\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 406
},
"id": "e7yLzOXDtusH",
"outputId": "f8354899-f3d5-4d7a-b8a5-b7e77368393f"
},
"execution_count": 29,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"This is probably the clearest finding so far:\n",
"- **Stars** have redshift basically at 0 — they're in our galaxy, very close\n",
"- **Galaxies** are in the middle, mostly between 0 and 1\n",
"- **Quasars** have the highest redshift, going all the way up to 7 — they're extremely far away\n",
"\n",
"Redshift alone could probably do a decent job separating the three classes. This makes physical sense — the farther an object is, the more its light shifts to red.\n"
],
"metadata": {
"id": "7F_aGM19txfm"
}
},
{
"cell_type": "markdown",
"source": [
"### Question 3: Can the light filters help tell the classes apart?\n"
],
"metadata": {
"id": "RA86CREHtzdd"
}
},
{
"cell_type": "code",
"source": [
"# box plots for each light filter, grouped by class\n",
"for col in ['u', 'g', 'r', 'i', 'z']:\n",
" plt.figure(figsize=(8, 5))\n",
" sns.boxplot(x=df['class'], y=df[col])\n",
" plt.title(f'{col} Filter by Class')\n",
" plt.xlabel('Class')\n",
" plt.ylabel(f'{col} value')\n",
" plt.show()\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "Tlr1KXH_t1-p",
"outputId": "072b6d46-1afa-497a-9f55-9c81bb402de9"
},
"execution_count": 30,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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TSEiI0/6QkBClpqYWec748eM1evToK9rXO++8o02bNl3R94B7KQs/KJo2barJkye7uo2L4t659rj7vVMW7huJe+daxL1TNAL1VTJ06FDFx8c7Xhc8oS5Nffv2desnBZKUk5OjY8eOuboNJx988IHj9927d5eHx/8+WpCfn6/ExETH62efffZqtnZJ1apVU8WKFV3dxkXVqVPH1S1ckrvfO+5430jO947kfH9c7Jg7cPd7pyzcNxL3zuU4/9548skn5e/v73h9+vRpffbZZ47X7nbfSNw7F8KUj8twOVM+/upanUPtjnbv3q2ePXtKkipUqKAnnnhCDzzwgJYsWaL58+crNzdXkjR79uwy8b9ggaulJB82ZBkw4E+pqanq3bu347WHh4ceffRRLViwQPn5+Y79M2fOVMOGDV3RIs7DsnlXkJeXlyIiIrRy5UrHvvz8fK1cuVJRUVEu7AyX4/yQnJubq08++URdu3bVJ5984gjTf60DUPyQTJgG/uevITk/P19ffPGFU5guqg7ujUB9meLj4/Xee+9pzpw52r59u2JjY3XmzBn16NHD1a3hMlzqBz6BACga9w5Qctw35Q9TPiyYOnWqJk6cqIyMDDVr1kxTpkxRZGRksc5lyod72r17t3r16iVjjGw2m9577z2eTAPFwFePAyX31+kfTPNwPyyb5+YI1AAAAO6NOdQAAADAVUCgBgAAACwgUAMAAAAWEKgBAAAACwjUAAAAgAUEagAAAMACAjUAAABgAYEaAAAAsIBADQAAAFhAoAYAAAAsIFADAAAAFhCoAQAAAAsI1AAAAIAFBGoAAADAAgI1AAAAYAGBGgAAALCAQA0AAABYQKAGAAAALCBQAwAAABYQqAEAAAALCNQAAACABQRqAAAAwAICNQAAAGABgRoAAACwgEANAAAAWECgBgAAACwgUAMAAAAWEKgBAAAACwjUAAAAgAUEagAAAMACAjUAAABgAYEaAAAAsIBADQAAAFhAoAYAAAAsIFADAAAAFhCoAQAAAAsI1AAAAIAFBGoAAADAAgI1AAAAYAGBGgAAALCAQA0AAABYQKAGAAAALCBQAwAAABYQqAEAAAALCNQAAACABQRqAAAAwAICNQAAAGABgRoAAACwgEANAAAAWECgBgAAACwgUAMAAAAWEKgBAAAACwjUAAAAgAUEagAAAMACAjUAAABgAYEaAAAAsIBADQAAAFhAoAYAAAAsIFADAAAAFpSbQL1v3z4999xzqlOnjipVqqS6detq5MiRys7OdqrbvHmz7rrrLvn4+CgsLEwTJkwoNNb8+fPVsGFD+fj4qEmTJlqyZInTcWOMRowYoRo1aqhSpUqKjo7Wrl27ruj1AQAAwD2Vm0Cdmpqq/Px8vfvuu9q2bZsmTZqkmTNn6tVXX3XU2O12tWvXTjfeeKPWr1+viRMnatSoUZo1a5ajZu3atercubOee+45paSkqEOHDurQoYO2bt3qqJkwYYKmTJmimTNn6qeffpKfn59iYmL0xx9/XNVrBgAAgOvZjDHG1U1cKRMnTtSMGTO0Z88eSdKMGTM0bNgwZWRkyMvLS5I0ZMgQffXVV0pNTZUkderUSWfOnNGiRYsc49xxxx1q1qyZZs6cKWOMatasqYEDB+rll1+WJGVmZiokJESJiYl66qmnitWb3W5XYGCgMjMzFRAQUJqXDQAAgFJQ3LxWbp5QFyUzM1PXXXed43VycrLuvvtuR5iWpJiYGO3YsUO///67oyY6OtppnJiYGCUnJ0uS9u7dq4yMDKeawMBARUZGOmqKkpWVJbvd7rQBAACg7Cu3gXr37t1655139MILLzj2ZWRkKCQkxKmu4HVGRsZFa84/fv55RdUUZfz48QoMDHRsYWFhl3llAAAAcCduH6iHDBkim8120a1gukaBgwcP6r777tMTTzyhXr16uahzZ0OHDlVmZqZj279/v6tbAgAAQCmo4OoGLmXgwIHq3r37RWvCw8Mdv09PT1ebNm3UsmVLpw8bSlJoaKgOHz7stK/gdWho6EVrzj9esK9GjRpONc2aNbtgj97e3vL29r7odQAAAKDscftAHRwcrODg4GLVHjx4UG3atFFERIQSEhLk4eH8AD4qKkrDhg1TTk6OKlasKElKSkrSTTfdpKCgIEfNypUr1b9/f8d5SUlJioqKkiTVqVNHoaGhWrlypSNA2+12/fTTT4qNjbV4tQAAAChr3H7KR3EdPHhQrVu31g033KA333xTR48eVUZGhtO85i5dusjLy0vPPfectm3bpnnz5mny5MmKj4931PTr10/Lli3TW2+9pdTUVI0aNUq//PKL+vTpI0my2Wzq37+/xo4dq6+//lpbtmzRM888o5o1a6pDhw5X+7IBAADgYm7/hLq4kpKStHv3bu3evVu1atVyOlawMmBgYKBWrFihuLg4RUREqFq1ahoxYoSef/55R23Lli318ccfa/jw4Xr11VdVv359ffXVV7rlllscNYMGDdKZM2f0/PPP6+TJk7rzzju1bNky+fj4XJ2LBQAAgNso1+tQuzPWoQYAAHBvrEMNAAAAXAUEagAAAMACAjUAAABgAYEaAAAAsIBADQAAAFhAoAYAAAAsIFADAAAAFhCoAQAAAAsI1AAAAIAFBGoAAADAAgI1AAAAYAGBGgAAALCAQA0AAABYQKAGAAAALCBQAwAAABYQqAEAAAALCNQAAACABQRqAAAAwAICNQAAAGABgRoAAACwgEANAAAAWECgBgAAACwgUAMAAAAWEKgBAAAACwjUAAAAgAUEagAAAMACAjUAAABgAYEaAAAAsIBADQAAAFhAoAYAAAAsIFADAAAAFhCoAQAAAAsI1AAAAIAFBGoAAADAAgI1AAAAYAGBGgAAALCAQA0AAABYQKAGAAAALCBQAwAAABYQqAEAAAALCNQAAACABQRqAAAAwAICNQAAAGABgRoAAACwgEANAAAAWECgBgAAACwgUAMAAAAWEKgBAAAACwjUAAAAgAUEagAAAMACAjUAAABgAYEaAAAAsIBADQAAAFhAoAYAAAAsIFADAAAAFhCoAQAAAAsI1AAAAIAFBGoAAADAAgI1AAAAYEG5DNRZWVlq1qyZbDabNm7c6HRs8+bNuuuuu+Tj46OwsDBNmDCh0Pnz589Xw4YN5ePjoyZNmmjJkiVOx40xGjFihGrUqKFKlSopOjpau3btupKXBAAAADdVLgP1oEGDVLNmzUL77Xa72rVrpxtvvFHr16/XxIkTNWrUKM2aNctRs3btWnXu3FnPPfecUlJS1KFDB3Xo0EFbt2511EyYMEFTpkzRzJkz9dNPP8nPz08xMTH6448/rsr1AQAAwH3YjDHG1U2UpqVLlyo+Pl5ffPGFGjdurJSUFDVr1kySNGPGDA0bNkwZGRny8vKSJA0ZMkRfffWVUlNTJUmdOnXSmTNntGjRIseYd9xxh5o1a6aZM2fKGKOaNWtq4MCBevnllyVJmZmZCgkJUWJiop566qli9Wm32xUYGKjMzEwFBASU4p8AAAAASkNx81q5ekJ9+PBh9erVS3PnzpWvr2+h48nJybr77rsdYVqSYmJitGPHDv3++++OmujoaKfzYmJilJycLEnau3evMjIynGoCAwMVGRnpqClKVlaW7Ha70wYAAICyr9wEamOMunfvrt69e+v2228vsiYjI0MhISFO+wpeZ2RkXLTm/OPnn1dUTVHGjx+vwMBAxxYWFlaCqwMAAIC7cvtAPWTIENlstotuqampeuedd3Tq1CkNHTrU1S0XaejQocrMzHRs+/fvd3VLAAAAKAUVXN3ApQwcOFDdu3e/aE14eLhWrVql5ORkeXt7Ox27/fbb9fTTT2vOnDkKDQ3V4cOHnY4XvA4NDXX8WlTN+ccL9tWoUcOppmCudlG8vb0L9QYAAICyz+0DdXBwsIKDgy9ZN2XKFI0dO9bxOj09XTExMZo3b54iIyMlSVFRURo2bJhycnJUsWJFSVJSUpJuuukmBQUFOWpWrlyp/v37O8ZKSkpSVFSUJKlOnToKDQ3VypUrHQHabrfrp59+UmxsbGlcMgAAAMoQtw/UxXXDDTc4vfb395ck1a1bV7Vq1ZIkdenSRaNHj9Zzzz2nwYMHa+vWrZo8ebImTZrkOK9fv36655579NZbb6l9+/b69NNP9csvvziW1rPZbOrfv7/Gjh2r+vXrq06dOnrttddUs2ZNdejQ4epcLAAAANxGuQnUxREYGKgVK1YoLi5OERERqlatmkaMGKHnn3/eUdOyZUt9/PHHGj58uF599VXVr19fX331lW655RZHzaBBg3TmzBk9//zzOnnypO68804tW7ZMPj4+rrgsAAAAuFC5W4e6rGAdagAAAPd2Ta5DDQAAAFxtBGoAAADAAgI1AAAAYMFlBeqTJ09q9uzZGjp0qE6cOCFJ2rBhgw4ePFiqzQEAAADursSrfGzevFnR0dEKDAzUvn371KtXL1133XX68ssvlZaWpg8//PBK9AkAAAC4pRI/oY6Pj1f37t21a9cup2XiHnjgAa1Zs6ZUmwMAAADcXYkD9c8//6wXXnih0P7rr79eGRkZpdIUAAAAUFaUOFB7e3vLbrcX2r9z585ifUU4AAAAUJ6UOFA//PDDGjNmjHJyciT9+VXcaWlpGjx4sDp27FjqDQIAAADurMSB+q233tLp06dVvXp1nTt3Tvfcc4/q1aunypUra9y4cVeiRwAAAMBtlXiVj8DAQCUlJen777/X5s2bdfr0ad12222Kjo6+Ev0BAAAAbs1mjDGubuJaVNzvhgcAAIBrFDevlfgJ9ZgxYy56fMSIESUdEgAAACizShyoFyxY4PQ6JydHe/fuVYUKFVS3bl0CNQAAAK4pJQ7UKSkphfbZ7XZ1795djz76aKk0BQAAAJQVJV7loygBAQEaPXq0XnvttdIYDgAAACgzSiVQS1JmZqYyMzNLazgAAACgTCjxlI8pU6Y4vTbG6NChQ5o7d67uv//+UmsMAAAAKAtKHKgnTZrk9NrDw0PBwcHq1q2bhg4dWmqNAQAAAGVBiQP13r17r0QfAAAAQJlUanOoAQAAgGtRsZ5QP/bYY8Ue8Msvv7zsZgAAAICypliBOjAw8Er3AQAAAJRJxQrUCQkJV7oPAAAAoExiDjUAAABgQYlX+ZCkzz//XJ999pnS0tKUnZ3tdGzDhg2l0hgAAABQFpT4CfWUKVPUo0cPhYSEKCUlRS1atFDVqlW1Z88evtgFAAAA15wSB+rp06dr1qxZeuedd+Tl5aVBgwYpKSlJL730El89DgAAgGtOiQN1WlqaWrZsKUmqVKmSTp06JUnq2rWrPvnkk9LtDgAAAHBzJQ7UoaGhOnHihCTphhtu0I8//ijpz29QNMaUbncAAACAmytxoL733nv19ddfS5J69OihAQMGqG3bturUqZMeffTRUm8QAAAAcGc2U8LHyvn5+crPz1eFCn8uEPLpp59q7dq1ql+/vl544QV5eXldkUbLG7vdrsDAQGVmZiogIMDV7QAAAOAvipvXShyoUToI1AAAAO6tuHmtxFM+6tWrp1GjRmnnzp2WGgQAAADKgxIH6ri4OC1evFg333yzmjdvrsmTJysjI+NK9AYAAAC4vRIH6gEDBujnn3/W9u3b9cADD2jatGkKCwtTu3bt9OGHH16JHgEAAAC3VSpzqH/88UfFxsZq8+bNysvLK42+yj3mUAMAALi34ua1ClbeZN26dfr44481b9482e12PfHEE1aGAwAAAMqcEgfqnTt36qOPPtInn3yivXv36t5779U///lPPfbYY/L3978SPQIAAABuq8SBumHDhmrevLni4uL01FNPKSQk5Er0BQAAAJQJJQ7UO3bsUP369a9ELwAAAECZU+JVPgjTAAAAwP+UOFADAAAA+B8CNQAAAGABgRoAAACwgEANAAAAWFDiVT7i4+OL3G+z2eTj46N69erpkUce0XXXXWe5OQAAAMDdlfirx9u0aaMNGzYoLy9PN910k6Q/v+zF09NTDRs21I4dO2Sz2fT999+rUaNGV6Tp8oCvHgcAAHBvxc1rJZ7y8cgjjyg6Olrp6elav3691q9frwMHDqht27bq3LmzDh48qLvvvlsDBgywdAEAAABAWVDiJ9TXX3+9kpKSCj193rZtm9q1a6eDBw9qw4YNateunY4dO1aqzZYnPKEGAABwb1fsCXVmZqaOHDlSaP/Ro0dlt9slSVWqVFF2dnZJhwYAAADKnMua8vHss89qwYIFOnDggA4cOKAFCxboueeeU4cOHSRJ69atU4MGDUq7VwAAAMDtlHjKx+nTpzVgwAB9+OGHys3NlSRVqFBB3bp106RJk+Tn56eNGzdKkpo1a1ba/ZYbTPkAAABwb8XNayUO1AVOnz6tPXv2SJLCw8Pl7+9/eZ1eowjUAAAA7q24ea3E61AX8Pf316233nq5pwMAAADlAt+UCAAAAFhAoAYAAAAsIFADAAAAFhCoAQAAAAvKXaBevHixIiMjValSJQUFBTnWxi6Qlpam9u3by9fXV9WrV9crr7ziWP6vwOrVq3XbbbfJ29tb9erVU2JiYqH3mTZtmmrXri0fHx9FRkZq3bp1V/CqAAAA4K7KVaD+4osv1LVrV/Xo0UObNm3SDz/8oC5dujiO5+XlqX379srOztbatWs1Z84cJSYmasSIEY6avXv3qn379mrTpo02btyo/v37q2fPnlq+fLmjZt68eYqPj9fIkSO1YcMGNW3aVDExMUV+gyQAAADKt8teh9rd5Obmqnbt2ho9erSee+65ImuWLl2qBx98UOnp6QoJCZEkzZw5U4MHD9bRo0fl5eWlwYMHa/Hixdq6davjvKeeekonT57UsmXLJEmRkZFq3ry5pk6dKknKz89XWFiY+vbtqyFDhhSrX9ahBgAAcG/FzWvl5gn1hg0bdPDgQXl4eOhvf/ubatSoofvvv98pGCcnJ6tJkyaOMC1JMTExstvt2rZtm6MmOjraaeyYmBglJydLkrKzs7V+/XqnGg8PD0VHRztqipKVlSW73e60AQAAoOwrN4G64FsbR40apeHDh2vRokUKCgpS69atdeLECUlSRkaGU5iW5HidkZFx0Rq73a5z587p2LFjysvLK7KmYIyijB8/XoGBgY4tLCzM2gUDAADALbh9oB4yZIhsNttFt9TUVOXn50uShg0bpo4dOyoiIkIJCQmy2WyaP3++i69CGjp0qDIzMx3b/v37Xd0SAAAASsFlf/X41TJw4EB17979ojXh4eE6dOiQJKlRo0aO/d7e3goPD1daWpokKTQ0tNBqHIcPH3YcK/i1YN/5NQEBAapUqZI8PT3l6elZZE3BGEXx9vaWt7f3Ra8DAAAAZY/bB+rg4GAFBwdfsi4iIkLe3t7asWOH7rzzTklSTk6O9u3bpxtvvFGSFBUVpXHjxunIkSOqXr26JCkpKUkBAQGOIB4VFaUlS5Y4jZ2UlKSoqChJkpeXlyIiIrRy5UrHknz5+flauXKl+vTpUyrXDAAAgLLD7ad8FFdAQIB69+6tkSNHasWKFdqxY4diY2MlSU888YQkqV27dmrUqJG6du2qTZs2afny5Ro+fLji4uIcT4979+6tPXv2aNCgQUpNTdX06dP12WefacCAAY73io+P13vvvac5c+Zo+/btio2N1ZkzZ9SjR4+rf+EAAABwKbd/Ql0SEydOVIUKFdS1a1edO3dOkZGRWrVqlYKCgiRJnp6eWrRokWJjYxUVFSU/Pz9169ZNY8aMcYxRp04dLV68WAMGDNDkyZNVq1YtzZ49WzExMY6aTp066ejRoxoxYoQyMjLUrFkzLVu2rNAHFQEAAFD+lZt1qMsa1qEGAABwb9fcOtQAAACAKxCoAQAAAAsI1AAAAIAFBGoAAADAAgI1AAAAYAGBGgAAALCAQA0AAABYQKAGAAAALCBQAwAAABYQqAEAAAALCNQAAACABQRqAAAAwAICNQAAAGABgRoAAACwgEANAAAAWECgBgAAACwgUAMAAAAWEKgBAAAACwjUAAAAgAUEagAAAMACAjUAAABgAYEaAAAAsIBADQAAAFhAoAYAAAAsIFADAAAAFhCoAQAAAAsI1AAAAIAFBGoAAADAAgI1AAAAYAGBGgAAALCAQA0AAABYQKAGAAAALCBQAwAAABYQqAEAAAALCNQAAACABQRqAAAAwAICNQAAAGABgRoAAACwgEANAAAAWECgBgAAACwgUAMAAAAWEKgBAAAACwjUAAAAgAUEagAAAMACAjUAAABgAYEaAAAAsIBADQAAAFhAoAYAAAAsIFADAAAAFhCoAQAAAAsI1AAAAIAFBGoAAADAAgI1AAAAYAGBGgAAALCAQA0AAABYQKAGAAAALCBQAwAAABYQqAEAAAALCNQAAACABeUqUO/cuVOPPPKIqlWrpoCAAN1555369ttvnWrS0tLUvn17+fr6qnr16nrllVeUm5vrVLN69Wrddttt8vb2Vr169ZSYmFjovaZNm6batWvLx8dHkZGRWrdu3ZW8NAAAALipchWoH3zwQeXm5mrVqlVav369mjZtqgcffFAZGRmSpLy8PLVv317Z2dlau3at5syZo8TERI0YMcIxxt69e9W+fXu1adNGGzduVP/+/dWzZ08tX77cUTNv3jzFx8dr5MiR2rBhg5o2baqYmBgdOXLkql8zAAAAXMtmjDGubqI0HDt2TMHBwVqzZo3uuusuSdKpU6cUEBCgpKQkRUdHa+nSpXrwwQeVnp6ukJAQSdLMmTM1ePBgHT16VF5eXho8eLAWL16srVu3OsZ+6qmndPLkSS1btkySFBkZqebNm2vq1KmSpPz8fIWFhalv374aMmRIkf1lZWUpKyvL8dputyssLEyZmZkKCAi4In8mAAAAuHx2u12BgYGXzGvl5gl11apVddNNN+nDDz/UmTNnlJubq3fffVfVq1dXRESEJCk5OVlNmjRxhGlJiomJkd1u17Zt2xw10dHRTmPHxMQoOTlZkpSdna3169c71Xh4eCg6OtpRU5Tx48crMDDQsYWFhZXatQMAAMB1yk2gttls+uabb5SSkqLKlSvLx8dHb7/9tpYtW6agoCBJUkZGhlOYluR4XTAt5EI1drtd586d07Fjx5SXl1dkTcEYRRk6dKgyMzMd2/79+y1fMwAAAFzP7QP1kCFDZLPZLrqlpqbKGKO4uDhVr15d3333ndatW6cOHTrooYce0qFDh1x9GfL29lZAQIDTBgAAgLKvgqsbuJSBAweqe/fuF60JDw/XqlWrtGjRIv3++++OsDp9+nQlJSVpzpw5GjJkiEJDQwutxnH48GFJUmhoqOPXgn3n1wQEBKhSpUry9PSUp6dnkTUFYwAAAODa4faBOjg4WMHBwZesO3v2rKQ/5zOfz8PDQ/n5+ZKkqKgojRs3TkeOHFH16tUlSUlJSQoICFCjRo0cNUuWLHEaIykpSVFRUZIkLy8vRUREaOXKlerQoYOkPz+UuHLlSvXp0+fyLxQAAABlkttP+SiuqKgoBQUFqVu3btq0aZN27typV155xbEMniS1a9dOjRo1UteuXbVp0yYtX75cw4cPV1xcnLy9vSVJvXv31p49ezRo0CClpqZq+vTp+uyzzzRgwADHe8XHx+u9997TnDlztH37dsXGxurMmTPq0aOHS64dAAAAruP2T6iLq1q1alq2bJmGDRume++9Vzk5OWrcuLEWLlyopk2bSpI8PT21aNEixcbGKioqSn5+furWrZvGjBnjGKdOnTpavHixBgwYoMmTJ6tWrVqaPXu2YmJiHDWdOnXS0aNHNWLECGVkZKhZs2ZatmxZoQ8qAgAAoPwrN+tQlzXFXdcQAAAArnHNrUMNAAAAuAKBGgAAALCAQA0AAABYQKAGAAAALCBQAwAAABYQqAEAAAALCNQAAACABQRqAAAAwAICNQAAAGABgRoAAACwgEANAAAAWECgBgAAACwgUAMAAAAWEKgBAAAACwjUAAAAgAUEagAAAMACAjUAAABgAYEaAAAAsIBADQAAAFhAoAYAAAAsIFADAAAAFhCoAQAAAAsI1AAAAIAFBGoAAADAAgI1AAAAYAGBGgAAALCAQA0AAABYQKAGAAAALCBQAwAAABYQqAEAAAALCNQAAACABQRqAAAAwAICNQAAAGABgRoAAACwgEANAAAAWECgBgAAACwgUAMAAAAWEKgBAAAACwjUAAAAgAUEagAAAMACAjUAAABgAYEaAAAAsIBADQAAAFhAoAYAAAAsIFADAAAAFhCoAQAAAAsI1AAAAIAFBGoAAADAAgI1AAAAYAGBGgAAALCAQA0AAABYQKAGAAAALCBQAwAAABYQqAEAAAALCNQAAACABQRqAAAAwAICNQAAAGBBBVc3AAAAcC3Ky8vT5s2bdeLECV133XW69dZb5enp6eq2cBnKzBPqcePGqWXLlvL19VWVKlWKrElLS1P79u3l6+ur6tWr65VXXlFubq5TzerVq3XbbbfJ29tb9erVU2JiYqFxpk2bptq1a8vHx0eRkZFat26d0/E//vhDcXFxqlq1qvz9/dWxY0cdPny4tC4VAACUc2vWrNHTTz+tAQMG6PXXX9eAAQP09NNPa82aNa5uDZehzATq7OxsPfHEE4qNjS3yeF5entq3b6/s7GytXbtWc+bMUWJiokaMGOGo2bt3r9q3b682bdpo48aN6t+/v3r27Knly5c7aubNm6f4+HiNHDlSGzZsUNOmTRUTE6MjR444agYMGKD//Oc/mj9/vv7v//5P6enpeuyxx67cxQMAgHJjzZo1GjlypMLDwzVt2jQtWbJE06ZNU3h4uEaOHEmoLotMGZOQkGACAwML7V+yZInx8PAwGRkZjn0zZswwAQEBJisryxhjzKBBg0zjxo2dzuvUqZOJiYlxvG7RooWJi4tzvM7LyzM1a9Y048ePN8YYc/LkSVOxYkUzf/58R8327duNJJOcnFzs68jMzDSSTGZmZrHPAQAAZVtubq7p1KmTGTp0qMnLy3M6lpeXZ4YOHWqeeuopk5ub66IOcb7i5rUy84T6UpKTk9WkSROFhIQ49sXExMhut2vbtm2OmujoaKfzYmJilJycLOnPp+Dr1693qvHw8FB0dLSjZv369crJyXGqadiwoW644QZHTVGysrJkt9udNgAAcG3ZvHmzMjIy9PTTT8vDwzmGeXh46Omnn9ahQ4e0efNmF3WIy1FuAnVGRoZTmJbkeJ2RkXHRGrvdrnPnzunYsWPKy8srsub8Mby8vArN4z6/pijjx49XYGCgYwsLC7us6wQAAGXXiRMnJEl16tQp8njB/oI6lA0uDdRDhgyRzWa76JaamurKFkvN0KFDlZmZ6dj279/v6pYAAMBVdt1110n683NdRSnYX1CHssGly+YNHDhQ3bt3v2hNeHh4scYKDQ0ttBpHwcoboaGhjl//uhrH4cOHFRAQoEqVKsnT01Oenp5F1pw/RnZ2tk6ePOn0lPr8mqJ4e3vL29u7WNcCAADKp1tvvVWhoaH66KOPNHbsWKdpH/n5+froo49Uo0YN3XrrrS7sEiXl0ifUwcHBatiw4UU3Ly+vYo0VFRWlLVu2OK3GkZSUpICAADVq1MhRs3LlSqfzkpKSFBUVJUny8vJSRESEU01+fr5WrlzpqImIiFDFihWdanbs2KG0tDRHDQAAQFE8PT314osvKjk5WcOHD9e2bdt09uxZbdu2TcOHD1dycrJiY2NZj7qMsRljjKubKI60tDSdOHFCX3/9tSZOnKjvvvtOklSvXj35+/srLy9PzZo1U82aNTVhwgRlZGSoa9eu6tmzp9544w1Jf/5vlFtuuUVxcXF69tlntWrVKr300ktavHixYmJiJP25bF63bt307rvvqkWLFvrXv/6lzz77TKmpqY651bGxsVqyZIkSExMVEBCgvn37SpLWrl1b7Oux2+0KDAxUZmamAgICSvOPCgAAuLk1a9Zo+vTpTp+/qlGjhmJjY3X33Xe7sDOcr9h57aqsOVIKunXrZiQV2r799ltHzb59+8z9999vKlWqZKpVq2YGDhxocnJynMb59ttvTbNmzYyXl5cJDw83CQkJhd7rnXfeMTfccIPx8vIyLVq0MD/++KPT8XPnzpkXX3zRBAUFGV9fX/Poo4+aQ4cOleh6WDYPAIBrW25urtmwYYP55ptvzIYNG1gqzw0VN6+VmSfU5Q1PqAEAANxbcfNauVk2DwAAAHAFAjUAAABgAYEaAAAAsIBADQAAAFhAoAYAAAAsIFADAAAAFhCoAQAAAAsI1AAAAIAFBGoAAADAAgI1AAAAYEEFVzdwrSr4xne73e7iTgAAAFCUgpxWkNsuhEDtIqdOnZIkhYWFubgTAAAAXMypU6cUGBh4weM2c6nIjSsiPz9f6enpqly5smw2m6vbwXnsdrvCwsK0f/9+BQQEuLodoMzg3gFKjvvGvRljdOrUKdWsWVMeHheeKc0Tahfx8PBQrVq1XN0GLiIgIIC/3IDLwL0DlBz3jfu62JPpAnwoEQAAALCAQA0AAABYQKAG/sLb21sjR46Ut7e3q1sByhTuHaDkuG/KBz6UCAAAAFjAE2oAAADAAgI1AAAAYAGBGgAAALCAQA0AAABYQKBGmZORkaF+/fqpXr168vHxUUhIiFq1aqUZM2bo7NmzTrXjx4+Xp6enJk6cWGicxMREValSpVjv2bBhQ3l7eysjI8Np/5kzZ1S3bl3Fx8c77d+3b58CAgL03nvvae7cufLz89Pu3budatLT0xUUFKSpU6cWqwcAgPs6evSoYmNjdcMNN8jb21uhoaGKiYnRuHHjZLPZLrqtXr1aknTgwAF5eXnplltuKfI9zj8nICBAzZs318KFC6/iVeJCCNQoU/bs2aO//e1vWrFihd544w2lpKQoOTlZgwYN0qJFi/TNN9841X/wwQcaNGiQPvjgg8t+z++//17nzp3T448/rjlz5jgd8/PzU0JCgt555x199913kv78mtIePXqoVatW6tWrl7p27aqYmBh1795d+fn5jnN79eqliIgIxcXFXXZvwJW0f/9+Pfvss6pZs6a8vLx04403ql+/fjp+/LijZu/everSpYtq1qwpHx8f1apVS4888ohSU1Odxlq0aJHuueceVa5cWb6+vmrevLkSExOv8hUBV07Hjh2VkpKiOXPmaOfOnfr666/VunVrNWnSRIcOHXJsTz75pO677z6nfS1btpT054OeJ598Una7XT/99FOR75OQkKBDhw7pl19+UatWrfT4449ry5YtV/NSURQDlCExMTGmVq1a5vTp00Uez8/Pd/x+9erV5vrrrzfZ2dmmZs2a5ocffnCqTUhIMIGBgZd8z+7du5shQ4aYpUuXmgYNGhRZM2DAAFO3bl1z+vRpM2nSJFOlShVz4MABx/EjR46Y4OBgM3HiRKf3TktLu+T7A67w3//+11SvXt3ceeedZvXq1ea3334zS5YsMY0bNzb169c3x48fN9nZ2aZu3brmgQceMMnJyWbfvn3m+++/N8OGDTPJycmOsaZMmWI8PDzM0KFDzbZt28yuXbvMm2++aby9vc3AgQNdeJVA6fj999+NJLN69epL1nbr1s088sgjhfbn5+eb8PBws2zZMjN48GDTq1evQjWSzIIFCxyv7Xa7kWQmT55spX2UAgI1yoxjx44Zm81mxo8fX6z6rl27mpdfftkYY8zAgQPNs88+63S8OIHabrcbPz8/s3XrVpObm2tCQkLMmjVrCtWdPXvW3HTTTaZDhw6mUqVKZu7cuYVqFixYYHx8fMyKFStMlSpVTGJiYrGuA3CF++67z9SqVcucPXvWaf+hQ4eMr6+v6d27t0lJSTGSzL59+y44TlpamqlYsaKJj48vdGzKlClGkvnxxx9LvX/gasrJyTH+/v6mf//+5o8//rho7YUC9cqVK01oaKjJzc01W7ZsMZUrVy708Oj8QJ2Tk2MmTZpkJJkZM2aU1qXgMhGoUWb8+OOPRpL58ssvnfZXrVrV+Pn5GT8/PzNo0CBjjDGZmZmmUqVKZuPGjcYYY1JSUoy/v785deqU47ziBOpZs2aZZs2aOV7369fPdOvWrcjaZcuWGUnm/vvvv+B4zzzzjPHw8CjyL1PAXRw/ftzYbDbzxhtvFHm8V69eJigoyBw4cMB4eHiYN9980+Tm5hZZ+/bbbxtJJj09vdCxrKws4+/vb/r161ea7QMu8fnnn5ugoCDj4+NjWrZsaYYOHWo2bdpUqO5CgbpLly6mf//+jtdNmzY1CQkJTjWSjI+Pj/Hz8zMeHh5Gkqldu7Y5fvx4aV8OSog51Cjz1q1bp40bN6px48bKysqSJH3yySeqW7eumjZtKklq1qyZbrzxRs2bN69EY3/wwQf6xz/+4Xj9j3/8Q/Pnz9epU6cK1b7//vvy9fXVli1blJmZWeR4r732mvLz8zV8+PAS9QFcTbt27ZIxRjfffHORx2+++Wb9/vvvqlixoqZMmaIRI0YoKChI9957r15//XXt2bPHUbtz504FBgaqRo0ahcbx8vJSeHi4du7cecWuBbhaOnbsqPT0dH399de67777tHr1at12223F+qzAyZMn9eWXXxb6efP+++8Xqp00aZI2btyopUuXqlGjRpo9e7auu+660rwUXAYCNcqMevXqyWazaceOHU77w8PDVa9ePVWqVMmx7/3339e2bdtUoUIFx/brr7+W6MOJv/76q3788UcNGjTIMcYdd9yhs2fP6tNPP3WqnTdvnhYtWqS1a9eqcuXKGjBgQJFjVqhQwelXwJ0ZYy563MvLS3FxccrIyNBHH32kqKgozZ8/X40bN1ZSUtJV6hJwHz4+Pmrbtq1ee+01rV27Vt27d9fIkSMved7HH3+sP/74Q5GRkY6fN4MHD9b3339f6B+coaGhqlevntq1a6eEhAR16tRJR44cuVKXhGIiUKPMqFq1qtq2baupU6fqzJkzF6zbsmWLfvnlF61evVobN250bKtXr1ZycnKh1Qcu5P3339fdd9+tTZs2OY0THx/v9NTg8OHDiouL09ixY9W0aVMlJibqww8/1NKlSy1fM+AKBf943b59e5HHt2/fruDgYMeyk5UrV9ZDDz2kcePGadOmTbrrrrs0duxYSVKDBg2UmZmp9PT0QuNkZ2frv//9rxo0aHDFrgVwpUaNGl3051WB999/XwMHDnT6WVNwL13sQVCLFi0UERGhcePGlWbbuByunnMClMTu3btNSEiIadiwofn000/Nr7/+alJTU83cuXNNSEiIiY+PN/369TORkZFFnt+iRQvHBxUTEhKMv7+/SUlJcdp+/fVXk52dbYKDg4v8oMevv/5qJJmtW7caY4x5+OGHzZ133mny8vIcNUOGDDG1atUyJ0+edDp37969RpJJSUkppT8R4Mpo166duf766y/4ocRXXnnlguf27dvXREREGGOM+e233y74ocTJkyfzoUSUC8eOHTNt2rQxc+fONZs2bTJ79uwxn332mQkJCSn0gfi/zqEu+HDv9u3bC407ffp0ExoaanJycowxhVf5MMaYJUuWGG9vb6eVpXD1EahR5qSnp5s+ffqYOnXqmIoVKxp/f3/TokULM3HiRJOZmWmqVq1qJkyYUOS5//znP0316tVNdna2SUhIMJIKbXXr1jWff/658fDwMBkZGUWOc/PNN5sBAwaYOXPmGF9fX7Nr1y6n41lZWeaWW24xPXr0cNpPoEZZsXPnTlOtWjVz1113mf/7v/8zaWlpZunSpeaWW24xzZo1M6dOnTIpKSnm4YcfNvPnz3cshzd79mzj5+dnxowZ4xhr0qRJxsPDw7z66qtm+/btZvfu3eatt95i2TyUG3/88YcZMmSIue2220xgYKDx9fU1N910kxk+fHihf5T+NVD36dPHNGrUqMhxDx06ZDw8PMzChQuNMUUH6vz8fNOwYUMTGxtbqteEkrEZc4lJcgCAa9K+ffs0atQoLVu2TEeOHJExRo899pjmzp0rX19fHTt2TK+//rpWrVqlffv2yWazqXbt2urWrZsGDBggD4//zSr8+uuv9eabb2rDhg3Ky8tT48aNFRcXpx49erjwCgGgdBCoAQDFMnLkSL399ttKSkrSHXfc4ep2AMBtEKgBAMWWkJCgzMxMvfTSS05PoAHgWkagBgAAACzg8QIAAABgAYEaAAAAsIBADQAAAFhAoAYAAAAsIFADAAAAFhCoAQDFZrPZ9NVXX7m6DQBwKwRqAIBDRkaG+vbtq/DwcHl7eyssLEwPPfSQVq5c6erWAMBtVXB1AwAA97Bv3z61atVKVapU0cSJE9WkSRPl5ORo+fLliouLU2pqqqtbBAC3xBNqAIAk6cUXX5TNZtO6devUsWNHNWjQQI0bN1Z8fLx+/PHHIs8ZPHiwGjRoIF9fX4WHh+u1115TTk6O4/imTZvUpk0bVa5cWQEBAYqIiNAvv/wiSfrtt9/00EMPKSgoSH5+fmrcuLGWLFlyVa4VAEoTT6gBADpx4oSWLVumcePGyc/Pr9DxKlWqFHle5cqVlZiYqJo1a2rLli3q1auXKleurEGDBkmSnn76af3tb3/TjBkz5OnpqY0bN6pixYqSpLi4OGVnZ2vNmjXy8/PTr7/+Kn9//yt2jQBwpRCoAQDavXu3jDFq2LBhic4bPny44/e1a9fWyy+/rE8//dQRqNPS0vTKK684xq1fv76jPi0tTR07dlSTJk0kSeHh4VYvAwBcgikfAAAZYy7rvHnz5qlVq1YKDQ2Vv7+/hg8frrS0NMfx+Ph49ezZU9HR0fp//+//6b///a/j2EsvvaSxY8eqVatWGjlypDZv3mz5OgDAFQjUAADVr19fNputRB88TE5O1tNPP60HHnhAixYtUkpKioYNG6bs7GxHzahRo7Rt2za1b99eq1atUqNGjbRgwQJJUs+ePbVnzx517dpVW7Zs0e2336533nmn1K8NAK40m7ncxxIAgHLl/vvv15YtW7Rjx45C86hPnjypKlWqyGazacGCBerQoYPeeustTZ8+3empc8+ePfX555/r5MmTRb5H586ddebMGX399deFjg0dOlSLFy/mSTWAMocn1AAASdK0adOUl5enFi1a6IsvvtCuXbu0fft2TZkyRVFRUYXq69evr7S0NH366af673//qylTpjiePkvSuXPn1KdPH61evVq//fabfvjhB/3888+6+eabJUn9+/fX8uXLtXfvXm3YsEHffvut4xgAlCV8KBEAIOnPDwVu2LBB48aN08CBA3Xo0CEFBwcrIiJCM2bMKFT/8MMPa8CAAerTp4+ysrLUvn17vfbaaxo1apQkydPTU8ePH9czzzyjw4cPq1q1anrsscc0evRoSVJeXp7i4uJ04MABBQQE6L777tOkSZOu5iUDQKlgygcAAABgAVM+AAAAAAsI1AAAAIAFBGoAAADAAgI1AAAAYAGBGgAAALCAQA0AAABYQKAGAAAALCBQAwAAABYQqAEAAAALCNQAAACABQRqAAAAwIL/DzCquo/gxjVFAAAAAElFTkSuQmCC\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"The light filters do show differences between classes:\n",
"- **Stars** tend to have the lowest values (brightest) across most filters — they're close to us so they appear brighter\n",
"- **Quasars** have the most consistent (flat) readings across filters — their light is spread more evenly\n",
"- **Galaxies** fall somewhere in between\n",
"\n",
"The `u` filter (ultraviolet) seems to be where the classes overlap the most, while the `r`, `i`, and `z` filters show clearer separation.\n"
],
"metadata": {
"id": "_6G-HK9Jt7pt"
}
},
{
"cell_type": "markdown",
"source": [
"### Question 4: How correlated are the features?\n"
],
"metadata": {
"id": "OeFJZaQpt8ui"
}
},
{
"cell_type": "code",
"source": [
"# heatmap of correlations\n",
"plt.figure(figsize=(10, 8))\n",
"sns.heatmap(df.select_dtypes(include=[np.number]).corr().round(2), annot=True)\n",
"plt.title('Correlation Heatmap')\n",
"plt.show()\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 518
},
"id": "FPXcwcugt_g5",
"outputId": "f9f90215-bef0-4207-b2bc-8e49a1a9c139"
},
"execution_count": 31,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"The light filters (u, g, r, i, z) are very correlated with each other — especially r, i, and z (above 0.92). This means they carry similar information. If we ever build a model, we might not need all 5 of them.\n",
"\n",
"Redshift has a moderate correlation with the filters (0.17 to 0.50), which makes sense — farther objects appear dimmer.\n",
"\n",
"Alpha and delta (coordinates) have almost zero correlation with anything, which leads us to the next question.\n"
],
"metadata": {
"id": "TrpTXJ3BuDNO"
}
},
{
"cell_type": "markdown",
"source": [
"### Question 5: Does location in the sky matter?\n"
],
"metadata": {
"id": "L69ehNnSuLJ6"
}
},
{
"cell_type": "code",
"source": [
"# scatter plot of sky coordinates colored by class\n",
"plt.figure(figsize=(12, 6))\n",
"for cls in df['class'].unique():\n",
" subset = df[df['class'] == cls].sample(1000, random_state=SEED)\n",
" plt.scatter(subset['alpha'], subset['delta'], label=cls, alpha=0.3, s=5)\n",
"plt.title('Sky Location by Class (sample of 1000 per class)')\n",
"plt.xlabel('Alpha (Right Ascension)')\n",
"plt.ylabel('Delta (Declination)')\n",
"plt.legend()\n",
"plt.show()\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 321
},
"id": "47jh0g6euM4q",
"outputId": "2ce9d910-93fc-4cd3-b081-854b1cfd531c"
},
"execution_count": 32,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
""
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"The 3 classes are spread across the sky pretty evenly — there's no specific area where you'd only find stars or only quasars. This confirms what we saw in the correlation matrix: sky coordinates don't help us classify objects. What matters is the light measurements and redshift, not where in the sky we're looking.\n"
],
"metadata": {
"id": "R_4S9z23uVgD"
}
},
{
"cell_type": "markdown",
"source": [
"## Conclusion — Can we classify celestial objects from telescope data?\n",
"\n",
"Based on everything we explored, the answer is **yes** — the telescope measurements do contain enough information to separate Stars, Galaxies, and Quasars. Here's what we found:\n",
"\n",
"- **Redshift is the strongest indicator.** Stars sit at ~0, Galaxies are in the middle, and Quasars are the highest. This single feature already does a lot of the work.\n",
"- **The light filters (u, g, r, i, z) add useful information.** Stars tend to appear brighter, Quasars have more even readings, and Galaxies fall in between. Though the filters are very correlated with each other, so not all 5 are equally important.\n",
"- **Sky location doesn't matter.** Alpha and delta don't help us — objects of all types are spread across the entire sky.\n",
"\n",
"So if I had to guess what type of object the telescope is looking at, I'd first check the redshift, then look at the light filter values. The coordinates wouldn't help me much.\n"
],
"metadata": {
"id": "meF5Z4YJwUVM"
}
}
]
}