377 lines
94 KiB
Plaintext
377 lines
94 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# MAT-204:00010 - Probability\n",
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"Author: Thanawin Pattanaphol - Date: 23th December 2024 - Description: Basic probability calculations"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Importing Libraries"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 229,
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"metadata": {},
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"outputs": [],
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"source": [
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"import pandas as pd \n",
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"from matplotlib_venn import venn3\n",
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"from matplotlib import pyplot as plt \n",
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"\n",
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"Dat = pd.read_csv('DataLoL.csv')\n",
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"\n",
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"num_games = len(Dat)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Questions"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"#### Probability: Blue Team wins"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 230,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Probability that Blue Team wins: 0.4990383642069035\n"
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]
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}
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],
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"source": [
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"# Calculating the probability by diving the amount of games that blue won\n",
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"# dividing it by the amount of total games\n",
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"# Thus: p = Number of time an event occurs / Total nmumber of possible events\n",
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"prob_blue_wins = len(Dat[Dat['blueWins'] == 1]) / num_games\n",
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"print(\"Probability that Blue Team wins:\", prob_blue_wins)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"#### Probability: Blue Team wins and kills the dragon"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 231,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Probability that Blue Team wins and kills the dragon: 0.23200728818706348\n"
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]
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}
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],
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"source": [
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"# Doing a similar calculation with the difference being\n",
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"# the number of time an event occurs now only counts\n",
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"# the number of times blue team wins and kills the dragon\n",
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"\n",
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"prob_blue_wins_dragons = len(Dat[(Dat['blueWins'] == 1) & (Dat['blueDragons'] == 1)]) / num_games\n",
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"print(\"Probability that Blue Team wins and kills the dragon:\", prob_blue_wins_dragons)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"#### Probability: Blue Team wins and kills the herald"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 232,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Probability that Blue Team wins and kills the herald: 0.11185342646016803\n"
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]
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}
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],
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"source": [
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"# Similar calculation but with the number of events that\n",
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"# team blue wins and kills the herald\n",
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"\n",
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"prob_blue_wins_heralds = len(Dat[(Dat['blueWins'] == 1) & (Dat['blueHeralds'] == 1)]) / num_games\n",
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"print(\"Probability that Blue Team wins and kills the herald:\", prob_blue_wins_heralds)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"#### Count: All possible cases (Venn Diagram)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 233,
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"metadata": {},
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"outputs": [
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{
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"data": {
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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Declaring variable for each set\n",
|
||
"# Loop through the whole games dataset and if the item-\n",
|
||
"# -matches the condition, add it to the set for that\n",
|
||
"# condition list\n",
|
||
"\n",
|
||
"game_blue_wins = set()\n",
|
||
"game_blue_dragon = set()\n",
|
||
"game_blue_herald = set()\n",
|
||
"\n",
|
||
"for game in range(num_games):\n",
|
||
" if(Dat['blueWins'][game] == 1):\n",
|
||
" game_blue_wins.add(game)\n",
|
||
" if(Dat['blueDragons'][game] == 1):\n",
|
||
" game_blue_dragon.add(game)\n",
|
||
" if(Dat['blueHeralds'][game] == 1):\n",
|
||
" game_blue_herald.add(game)\n",
|
||
"\n",
|
||
"venn3([game_blue_wins, game_blue_dragon, game_blue_herald], ('A', 'B', 'C'))\n",
|
||
"\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"#### Probability: Each possible events (Venn Diagram)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 234,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 1000x500 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Setting the variable for each section of the venn diagram\n",
|
||
"# Use these values to calculate its probability by\n",
|
||
"# diving with the total amount of games\n",
|
||
"# Produce venn diagram of the values\n",
|
||
"\n",
|
||
"count_a = 2055\n",
|
||
"count_b = 1096\n",
|
||
"count_c = 564\n",
|
||
"\n",
|
||
"count_ab = 1770\n",
|
||
"count_ac = 583\n",
|
||
"count_bc = 188\n",
|
||
"\n",
|
||
"count_abc = 522\n",
|
||
"\n",
|
||
"p_a = round(2055 / num_games, 3)\n",
|
||
"p_b = round(1096 / num_games, 3)\n",
|
||
"p_c = round(564 / num_games, 3)\n",
|
||
"\n",
|
||
"p_ab = round(1770 / num_games, 3)\n",
|
||
"p_ac = round(583 / num_games, 3)\n",
|
||
"p_bc = round(188 / num_games, 3)\n",
|
||
"\n",
|
||
"p_abc = round(522 / num_games, 3)\n",
|
||
"\n",
|
||
"plt.figure(figsize=(10, 5))\n",
|
||
"venn = venn3(subsets=(p_a, p_b, p_ab, p_c, p_ac, p_bc, p_abc), set_labels=('A', 'B', 'C'))\n",
|
||
"\n",
|
||
"plt.text(0.6, -0.5, f'Complement: aaaaa', ha='center', va='center')\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"#### Probability: Blue Team does not manage to do any of the events (Outer White Section)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 240,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Probabilty that Blue Team loses, doesn't kill dragons and heralds: 0.3138981678307521\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 1000x500 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Calculate the total amount of the games in the venn diagram\n",
|
||
"# Find the complement of (A ∪ B ∪ C)\n",
|
||
"\n",
|
||
"count_all = count_a + count_b + count_c + count_ab + count_abc + count_ac + count_bc\n",
|
||
"did_not_win_all = num_games - count_all\n",
|
||
"prob_did_not_win_all = did_not_win_all / num_games\n",
|
||
"\n",
|
||
"print(\"Probabilty that Blue Team loses, doesn't kill dragons and heralds:\", prob_did_not_win_all)\n",
|
||
"\n",
|
||
"plt.figure(figsize=(10, 5))\n",
|
||
"venn = venn3(subsets=(p_a, p_b, p_ab, p_c, p_ac, p_bc, p_abc), set_labels=('A', 'B', 'C'))\n",
|
||
"\n",
|
||
"plt.text(0.6, -0.5, f'{round(prob_did_not_win_all, 3)}', ha='center', va='center')\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"#### Probability: Blue Team wins and kills dragon and herald"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 236,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Probability that blue team wins, kills dragon and herald: 0.053\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"# The probability of this event is essentially the intersection of\n",
|
||
"# A (Blue Team Wins), B (Kills Dragon) and C (Kills Herald)\n",
|
||
"\n",
|
||
"print(\"Probability that blue team wins, kills dragon and herald:\", p_abc)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"#### Probability: Blue Team does not win but kills dragon and the herald "
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 237,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Probability that blue team does not win but kills dragon and the herald : 0.019\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"# Same with above but only with the intersection between\n",
|
||
"# B (Kills Dragon) and C (Kills Herald)\n",
|
||
"\n",
|
||
"print(\"Probability that blue team does not win but kills dragon and the herald :\", p_bc)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"#### Probability: Blue Team wins but does not kill dragon and herald. "
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 238,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Probability that blue team wins without killing the dragon and the herald: 0.208\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"# Same with above but only with the A section (Blue Team wins)\n",
|
||
"\n",
|
||
"print(\"Probability that blue team wins without killing the dragon and the herald:\", p_a)"
|
||
]
|
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