Spaces:
Sleeping
Delete app.py
Browse files"""
This Program is intended to provide a glimpse into daily NBA player projections from the app Prize-Picks and conduct a
statistical analysis into each line to identify potential value spots and different angles and trends from which to
justify the selection.
Author: Khizr Ali Khizr89@gmail.com
Created: March 6th, 2022
"""
# Imports
import math # Using floor method to get odds for above line
import sys # used to exit the program
import time # Using sleep() between thread requests
from datetime import date, datetime
import pandas as pd # Using DataFrames to store and manipulate data
import requests # Using GET to load data from some API
import unidecode # Decode the player names to remove accents
from bs4 import BeautifulSoup # Needed in get_player_position_list()
from scipy.stats import poisson # using poisson odds as one metric
from nba_api.stats.static import players # a list of players
from nba_api.stats.endpoints import playergamelogs, leaguegamelog # methods from nba-api to get data
from selenium import webdriver # Needed in get_dvp_ranking()
from selenium.webdriver.support.ui import Select # Needed in get_dvp_ranking()
from selenium.webdriver.common.by import By # Needed in get_dvp_ranking()
from selenium.webdriver.chrome.options import Options # Needed in get_dvp_ranking()
from selenium.webdriver.chrome.service import Service # Needed in get_dvp_ranking()
from webdriver_manager.chrome import ChromeDriverManager # Needed in get_dvp_ranking()
# Modules
# Get the Prizepicks Projections (Starting Data)
# Method is GOOD
def get_prizepicks_projections():
""" Returns a DataFrame of the PrizePicks Projections
Parameters:
-----------
Returns
---------
df: <pandas.DataFrame>
A DataFrame of the player's projection data
"""
# URL of the Prize Picks Projections page
url = 'https://partner-api.prizepicks.com/projections?single_stat=True&league_id=7&per_page=1000'
resp = requests.get(url).json()
if len(resp['data']) != 0:
# Normalizes the JSON File into a Data Frame
data = pd.json_normalize(resp['data'], max_level=3)
included = pd.json_normalize(resp['included'], max_level=3)
inc_cop = included[included['type'] == 'new_player'].copy().dropna(axis=1)
# Joins on the 'id' to add the player name to the projections
data = pd.merge(data, inc_cop,
how='left',
left_on=['relationships.new_player.data.id', 'relationships.new_player.data.type'],
right_on=['id', 'type'],
suffixes=('', '_new_player'))
# Return the data with necessary columns
data = data.rename(
columns={'attributes.name': 'name', 'attributes.line_score': 'line_score',
'attributes.stat_type': 'stat_type', 'attributes.updated_at': 'updated_at',
'attributes.description': 'opponent', 'attributes.start_time': 'start_time',
'attributes.is_promo': 'is_promo', 'attributes.position': 'position', 'attributes.team': 'team',
'attributes.team_name': 'team_name', 'attributes.market': 'market'})
return data[['id', 'name', 'line_score', 'stat_type', 'updated_at',
'opponent', 'start_time', 'is_promo', 'position',
'team', 'team_name', 'market']]
else:
print('There Are Currently no NBA Lines Available.')
sys.exit()
# Get the DVP Rankings (Starting Data)
# Method is GOOD
def get_dvp_rankings():
""" Returns a pandas.DataFrame of the NBA DVP Rankings from the last 30 days
Parameters:
-----------
Returns
---------
dvp_list: <pandas.DataFrame>
A DataFrame of each team dvp and its position
"""
chrome_options = Options()
chrome_options.add_argument("--headless")
s = Service(ChromeDriverManager().install())
driver = webdriver.Chrome(service=s, options=chrome_options)
driver.get('https://hashtagbasketball.com/nba-defense-vs-position')
select = Select(driver.find_element(By.NAME, 'ctl00$ContentPlaceHolder1$DDDURATION'))
select.select_by_value("30")
time.sleep(.500)
table = driver.find_element(By.ID, 'ContentPlaceHolder1_GridView1').get_attribute('outerHTML')
dvp_table = pd.read_html(table)[0]
dvp_table = dvp_table.rename(
columns={'Sort: Team': 'Team', 'Sort: Position': 'Position', 'Sort: PTS': 'PTS', 'Sort: FG%': 'FG%',
'Sort: FT%': 'FT%', 'Sort: 3PM': '3PM', 'Sort: REB': 'REB', 'Sort: AST': 'AST', 'Sort: STL': 'STL',
'Sort: BLK': 'BLK', 'Sort: TO': 'TO'})
dvp_table['Team'] = dvp_table['Team'].str[:3]
dvp_table['PTS'] = dvp_table['PTS'].str[:4]
dvp_table['FG%'] = dvp_table['FG%'].str[:4]
dvp_table['FT%'] = dvp_table['FT%'].str[:4]
dvp_table['3PM'] = dvp_table['3PM'].str[:3]
dvp_table['REB'] = dvp_table['REB'].str[:-3]
dvp_table['AST'] = dvp_table['AST'].str[:-3]
dvp_table['STL'] = dvp_table['STL'].str[:3]
dvp_table['BLK'] = dvp_table['BLK'].str[:3]
dvp_table['TO'] = dvp_table['TO'].str[:3]
dvp_table['PTS'] = pd.to_numeric(dvp_table['PTS'])
dvp_table['FG%'] = pd.to_numeric(dvp_table['FG%'])
dvp_table['FT%'] = pd.to_numeric(dvp_table['FT%'])
dvp_table['3PM'] = pd.to_numeric(dvp_table['3PM'])
dvp_table['REB'] = pd.to_numeric(dvp_table['REB'])
dvp_table['AST'] = pd.to_numeric(dvp_table['AST'])
dvp_table['STL'] = pd.to_numeric(dvp_table['STL'])
dvp_table['BLK'] = pd.to_numeric(dvp_table['BLK'])
dvp_table['TO'] = pd.to_numeric(dvp_table['TO'])
driver.close()
return dvp_table
# Get a list of players and their position (Starting Data)
# Take a look at .replace() method issuing a warning
def get_player_position_list():
""" Returns a pandas.DataFrame of the NBA DVP Rankings from the last 30 days
Parameters:
-----------
Returns
---------
player_info_list: <list>
A list of players information including their position
"""
url = 'https://www.basketball-reference.com/leagues/NBA_2022_per_game.html'
r = requests.get(url)
r_html = r.text
soup = BeautifulSoup(r_html, 'html.parser')
table = soup.find_all(class_="full_table")
""" Extracting List of column names"""
head = soup.find(class_="thead")
column_names_raw = [head.text for _ in head][0]
column_names_polished = column_names_raw.replace("\n", ",").split(",")[2:-1]
"""Extracting full list of player_data"""
players_list = []
for i in range(len(table)):
player_ = []
for td in table[i].find_all("td"):
player_.append(unidecode.unidecode(td.text))
players_list.append(player_)
player_info_list = pd.DataFrame(players_list, columns=column_names_polished).set_index("Player")
# cleaning the player's name from occasional special characters
# player_info_list.index = player_info_list.index.str.encode('utf-8')
player_info_list.index = player_info_list.index.str.replace('*', '', regex=True)
return player_info_list
# Get a log of the last 10 games of all players listed in projections (Starting Data) (PrizePicks Projections Required)
# Look into changing the data to be streamlined and per player instead of all together
def get_game_logs(list_of_player_names):
""" Returns Two Lists. 1. List of Player Names 2. list of pandas.DataFrame containing logs of the last 10 games
Parameters:
-----------
list_of_projections: <pandas.DataFrame>
A DataFrame containing the Prize Picks Projections
Returns
---------
player_names: <List>
A List of the player's names
game_logs: <List>
A List of type pandas.DataFrame where each index contains the logs of the last 10 games played
"""
player_names = []
no_logs = []
game_logs = []
print('GETTING GAME LOGS')
for name in list_of_player_names:
if name not in player_names:
player = players.find_players_by_full_name(name)[0]
if player['is_active']:
player_id = str(player['id'])
player_logs = playergamelogs.PlayerGameLogs(date_from_nullable='10/31/2021',
player_id_nullable=player_id,
season_nullable='2021-22',
last_n_games_nullable=10).get_data_frames()[0]
player_names.append(name)
player_logs['ID'] = player_id
game_logs.append(player_logs)
time.sleep(.700)
print(name, ' added to logs')
else:
no_logs.append(name)
game_logs = pd.concat(game_logs, axis=0)
print('FINISHED ALL ELIGIBLE GAME LOGS', no_logs)
return game_logs, no_logs
def get_player_position(position_list, name):
""" Returns Two Lists. 1. List of Player Names 2. list of pandas.DataFrame containing logs of the last 10 games
Parameters:
-----------
list_of_projections: <pandas.DataFrame>
A DataFrame containing the Prize Picks Projections
Returns
---------
player_names: <List>
A List of the player's names
game_logs: <List>
A List of type pandas.DataFrame where each index contains the logs of the last 10 games played
"""
if name == 'Robert Williams III':
name = 'Robert Williams'
return position_list[position_list.index == name]['Pos'][0]
# Get the Poisson Odds of the player going OVER their projected total given previous 10 performances
# Method is GOOD
def get_poisson_odds(game_log, prop_type, line_score):
""" Returns a Value of the PrizePicks Projection Poisson odds to go over the suggested line_score
Parameters:
-----------
game_log: <pandas.DataFrame>
A DataFrame containing the players l10 Game Logs
prop_type: <String>
A string containing the type of prop it is eg. Points, Rebounds, Assists, etc.
line_score: <float>
A float valu
|
@@ -1,565 +0,0 @@
|
|
| 1 |
-
import pandas
|
| 2 |
-
import csv
|
| 3 |
-
import os
|
| 4 |
-
|
| 5 |
-
def prizepicks_6_legs_flex(wager, odds):
|
| 6 |
-
#calculate EV
|
| 7 |
-
value_win_6 = wager * 24
|
| 8 |
-
odds_win_6 = 1
|
| 9 |
-
for i in range(len(odds)):
|
| 10 |
-
odds_win_6 *= odds[i]
|
| 11 |
-
value_win_6 *= odds_win_6
|
| 12 |
-
|
| 13 |
-
value_win_5 = wager
|
| 14 |
-
odds_win_5 = 0
|
| 15 |
-
for i in range(len(odds)):
|
| 16 |
-
temp = 1 - odds[i]
|
| 17 |
-
for n in range(len(odds)):
|
| 18 |
-
if n == i:
|
| 19 |
-
continue
|
| 20 |
-
temp *= odds[n]
|
| 21 |
-
odds_win_5 += temp
|
| 22 |
-
value_win_5 *= odds_win_5
|
| 23 |
-
|
| 24 |
-
value_win_4 = 0.6 * wager * -1
|
| 25 |
-
odds_win_4 = 0
|
| 26 |
-
for i in range(len(odds)):
|
| 27 |
-
temp_1 = 1 - odds[i]
|
| 28 |
-
for n in range(len(odds)):
|
| 29 |
-
if n <= i:
|
| 30 |
-
continue
|
| 31 |
-
temp_2 = (1 - odds[n]) * temp_1
|
| 32 |
-
for j in range(len(odds)):
|
| 33 |
-
if j == i or j == n:
|
| 34 |
-
continue
|
| 35 |
-
temp_2 *= odds[j]
|
| 36 |
-
odds_win_4 += temp_2
|
| 37 |
-
value_win_4 *= odds_win_4
|
| 38 |
-
|
| 39 |
-
value_win_3 = wager * -1
|
| 40 |
-
odds_win_3 = 0
|
| 41 |
-
for i in range(len(odds)):
|
| 42 |
-
temp_1 = 1 - odds[i]
|
| 43 |
-
for n in range(len(odds)):
|
| 44 |
-
if n <= i:
|
| 45 |
-
continue
|
| 46 |
-
temp_2 = (1 - odds[n]) * temp_1
|
| 47 |
-
for j in range(len(odds)):
|
| 48 |
-
if j <= n:
|
| 49 |
-
continue
|
| 50 |
-
temp_3 = (1 - odds[j]) * temp_2
|
| 51 |
-
for k in range(len(odds)):
|
| 52 |
-
if k == i or k == n or k == j:
|
| 53 |
-
continue
|
| 54 |
-
temp_3 *= odds[k]
|
| 55 |
-
odds_win_3 += temp_3
|
| 56 |
-
value_win_3 *= odds_win_3
|
| 57 |
-
|
| 58 |
-
odds_inverse = []
|
| 59 |
-
for i in range(len(odds)):
|
| 60 |
-
odds_inverse.append(1 - odds[i])
|
| 61 |
-
|
| 62 |
-
value_win_2 = wager * -1
|
| 63 |
-
odds_win_2 = 0
|
| 64 |
-
for i in range(len(odds_inverse)):
|
| 65 |
-
temp_1 = 1 - odds_inverse[i]
|
| 66 |
-
for n in range(len(odds_inverse)):
|
| 67 |
-
if n <= i:
|
| 68 |
-
continue
|
| 69 |
-
temp_2 = (1 - odds_inverse[n]) * temp_1
|
| 70 |
-
for j in range(len(odds_inverse)):
|
| 71 |
-
if j == i or j == n:
|
| 72 |
-
continue
|
| 73 |
-
temp_2 *= odds_inverse[j]
|
| 74 |
-
odds_win_2 += temp_2
|
| 75 |
-
value_win_2 *= odds_win_2
|
| 76 |
-
|
| 77 |
-
value_win_1 = wager * -1
|
| 78 |
-
odds_win_1 = 0
|
| 79 |
-
for i in range(len(odds_inverse)):
|
| 80 |
-
temp = 1 - odds_inverse[i]
|
| 81 |
-
for n in range(len(odds_inverse)):
|
| 82 |
-
if n == i:
|
| 83 |
-
continue
|
| 84 |
-
temp *= odds_inverse[n]
|
| 85 |
-
odds_win_1 += temp
|
| 86 |
-
value_win_1 *= odds_win_1
|
| 87 |
-
|
| 88 |
-
value_win_0 = wager * -1
|
| 89 |
-
odds_win_0 = 1
|
| 90 |
-
for i in range(len(odds_inverse)):
|
| 91 |
-
odds_win_0 *= odds_inverse[i]
|
| 92 |
-
value_win_0 *= odds_win_0
|
| 93 |
-
|
| 94 |
-
ev = value_win_0 + value_win_1 + value_win_2 + value_win_3 + value_win_4 + value_win_5 + value_win_6
|
| 95 |
-
print("$" + str(wager) + " 6-legs flex play with implied odds: " + str(odds))
|
| 96 |
-
print("Chance to win 6/6 (PnL $" + str(wager * 24) + "): " + str(odds_win_6))
|
| 97 |
-
print("Chance to win 5/6 (PnL $" + str(wager) + "): " + str(odds_win_5))
|
| 98 |
-
print("Chance to win 4/6 (PnL $" + str(wager * -0.6) + "): " + str(odds_win_4))
|
| 99 |
-
print("Chance to lose (PnL $" + str(wager * -1) + "): " + str(odds_win_3 + odds_win_2 + odds_win_1 + odds_win_0))
|
| 100 |
-
print("Expected PnL: $" + str(ev))
|
| 101 |
-
print()
|
| 102 |
-
return ev, "6-legs flex"
|
| 103 |
-
|
| 104 |
-
def prizepicks_5_legs_flex(wager, odds):
|
| 105 |
-
#calculate EV
|
| 106 |
-
value_win_5 = wager * 9
|
| 107 |
-
odds_win_5 = 1
|
| 108 |
-
for i in range(len(odds)):
|
| 109 |
-
odds_win_5 *= odds[i]
|
| 110 |
-
value_win_5 *= odds_win_5
|
| 111 |
-
|
| 112 |
-
value_win_4 = wager
|
| 113 |
-
odds_win_4 = 0
|
| 114 |
-
for i in range(len(odds)):
|
| 115 |
-
temp = 1 - odds[i]
|
| 116 |
-
for n in range(len(odds)):
|
| 117 |
-
if n == i:
|
| 118 |
-
continue
|
| 119 |
-
temp *= odds[n]
|
| 120 |
-
odds_win_4 += temp
|
| 121 |
-
value_win_4 *= odds_win_4
|
| 122 |
-
|
| 123 |
-
value_win_3 = 0.6 * wager * -1
|
| 124 |
-
odds_win_3 = 0
|
| 125 |
-
for i in range(len(odds)):
|
| 126 |
-
temp_1 = 1 - odds[i]
|
| 127 |
-
for n in range(len(odds)):
|
| 128 |
-
if n <= i:
|
| 129 |
-
continue
|
| 130 |
-
temp_2 = (1 - odds[n]) * temp_1
|
| 131 |
-
for j in range(len(odds)):
|
| 132 |
-
if j == i or j == n:
|
| 133 |
-
continue
|
| 134 |
-
temp_2 *= odds[j]
|
| 135 |
-
odds_win_3 += temp_2
|
| 136 |
-
value_win_3 *= odds_win_3
|
| 137 |
-
|
| 138 |
-
odds_inverse = []
|
| 139 |
-
for i in range(len(odds)):
|
| 140 |
-
odds_inverse.append(1 - odds[i])
|
| 141 |
-
|
| 142 |
-
value_win_2 = wager * -1
|
| 143 |
-
odds_win_2 = 0
|
| 144 |
-
for i in range(len(odds_inverse)):
|
| 145 |
-
temp_1 = 1 - odds_inverse[i]
|
| 146 |
-
for n in range(len(odds_inverse)):
|
| 147 |
-
if n <= i:
|
| 148 |
-
continue
|
| 149 |
-
temp_2 = (1 - odds_inverse[n]) * temp_1
|
| 150 |
-
for j in range(len(odds_inverse)):
|
| 151 |
-
if j == i or j == n:
|
| 152 |
-
continue
|
| 153 |
-
temp_2 *= odds_inverse[j]
|
| 154 |
-
odds_win_2 += temp_2
|
| 155 |
-
value_win_2 *= odds_win_2
|
| 156 |
-
|
| 157 |
-
value_win_1 = wager * -1
|
| 158 |
-
odds_win_1 = 0
|
| 159 |
-
for i in range(len(odds_inverse)):
|
| 160 |
-
temp = 1 - odds_inverse[i]
|
| 161 |
-
for n in range(len(odds_inverse)):
|
| 162 |
-
if n == i:
|
| 163 |
-
continue
|
| 164 |
-
temp *= odds_inverse[n]
|
| 165 |
-
odds_win_1 += temp
|
| 166 |
-
value_win_1 *= odds_win_1
|
| 167 |
-
|
| 168 |
-
value_win_0 = wager * -1
|
| 169 |
-
odds_win_0 = 1
|
| 170 |
-
for i in range(len(odds_inverse)):
|
| 171 |
-
odds_win_0 *= odds_inverse[i]
|
| 172 |
-
value_win_0 *= odds_win_0
|
| 173 |
-
|
| 174 |
-
ev = value_win_0 + value_win_1 + value_win_2 + value_win_3 + value_win_4 + value_win_5
|
| 175 |
-
print("$" + str(wager) + " 5-legs flex play with implied odds: " + str(odds))
|
| 176 |
-
print("Chance to win 5/5 (PnL $" + str(wager * 9) + "): " + str(odds_win_5))
|
| 177 |
-
print("Chance to win 4/5 (PnL $" + str(wager) + "): " + str(odds_win_4))
|
| 178 |
-
print("Chance to win 3/5 (PnL $" + str(wager * -0.6) + "): " + str(odds_win_3))
|
| 179 |
-
print("Chance to lose (PnL $" + str(wager * -1) + "): " + str(odds_win_2 + odds_win_1 + odds_win_0))
|
| 180 |
-
print("Expected PnL: $" + str(ev))
|
| 181 |
-
print()
|
| 182 |
-
return ev, "5-legs flex"
|
| 183 |
-
|
| 184 |
-
def prizepicks_4_legs_flex(wager, odds):
|
| 185 |
-
#calculate EV
|
| 186 |
-
value_win_4 = wager * 4
|
| 187 |
-
odds_win_4 = 1
|
| 188 |
-
for i in range(len(odds)):
|
| 189 |
-
odds_win_4 *= odds[i]
|
| 190 |
-
value_win_4 *= odds_win_4
|
| 191 |
-
|
| 192 |
-
value_win_3 = wager * 0.5
|
| 193 |
-
odds_win_3 = 0
|
| 194 |
-
for i in range(len(odds)):
|
| 195 |
-
temp = 1 - odds[i]
|
| 196 |
-
for n in range(len(odds)):
|
| 197 |
-
if n == i:
|
| 198 |
-
continue
|
| 199 |
-
temp *= odds[n]
|
| 200 |
-
odds_win_3 += temp
|
| 201 |
-
value_win_3 *= odds_win_3
|
| 202 |
-
|
| 203 |
-
value_win_2 = wager * -1
|
| 204 |
-
odds_win_2 = 0
|
| 205 |
-
for i in range(len(odds)):
|
| 206 |
-
temp_1 = 1 - odds[i]
|
| 207 |
-
for n in range(len(odds)):
|
| 208 |
-
if n <= i:
|
| 209 |
-
continue
|
| 210 |
-
temp_2 = (1 - odds[n]) * temp_1
|
| 211 |
-
for j in range(len(odds)):
|
| 212 |
-
if j == i or j == n:
|
| 213 |
-
continue
|
| 214 |
-
temp_2 *= odds[j]
|
| 215 |
-
odds_win_2 += temp_2
|
| 216 |
-
value_win_2 *= odds_win_2
|
| 217 |
-
|
| 218 |
-
odds_inverse = []
|
| 219 |
-
for i in range(len(odds)):
|
| 220 |
-
odds_inverse.append(1 - odds[i])
|
| 221 |
-
|
| 222 |
-
value_win_1 = wager * -1
|
| 223 |
-
odds_win_1 = 0
|
| 224 |
-
for i in range(len(odds_inverse)):
|
| 225 |
-
temp = 1 - odds_inverse[i]
|
| 226 |
-
for n in range(len(odds_inverse)):
|
| 227 |
-
if n == i:
|
| 228 |
-
continue
|
| 229 |
-
temp *= odds_inverse[n]
|
| 230 |
-
odds_win_1 += temp
|
| 231 |
-
value_win_1 *= odds_win_1
|
| 232 |
-
|
| 233 |
-
value_win_0 = wager * -1
|
| 234 |
-
odds_win_0 = 1
|
| 235 |
-
for i in range(len(odds_inverse)):
|
| 236 |
-
odds_win_0 *= odds_inverse[i]
|
| 237 |
-
value_win_0 *= odds_win_0
|
| 238 |
-
|
| 239 |
-
ev = value_win_0 + value_win_1 + value_win_2 + value_win_3 + value_win_4
|
| 240 |
-
print("$" + str(wager) + " 4-legs flex play with implied odds: " + str(odds))
|
| 241 |
-
print("Chance to win 4/4 (PnL $" + str(wager * 4) + "): " + str(odds_win_4))
|
| 242 |
-
print("Chance to win 3/4 (PnL $" + str(wager * 0.5) + "): " + str(odds_win_3))
|
| 243 |
-
print("Chance to lose (PnL $" + str(wager * -1) + "): " + str(odds_win_2 + odds_win_1 + odds_win_0))
|
| 244 |
-
print("Expected PnL: $" + str(ev))
|
| 245 |
-
print()
|
| 246 |
-
return ev, "4-legs flex"
|
| 247 |
-
|
| 248 |
-
def prizepicks_4_legs_power(wager, odds):
|
| 249 |
-
#calculate EV
|
| 250 |
-
value_win_4 = wager * 9
|
| 251 |
-
odds_win_4 = 1
|
| 252 |
-
for i in range(len(odds)):
|
| 253 |
-
odds_win_4 *= odds[i]
|
| 254 |
-
value_win_4 *= odds_win_4
|
| 255 |
-
|
| 256 |
-
value_win_3 = wager * -1
|
| 257 |
-
odds_win_3 = 0
|
| 258 |
-
for i in range(len(odds)):
|
| 259 |
-
temp = 1 - odds[i]
|
| 260 |
-
for n in range(len(odds)):
|
| 261 |
-
if n == i:
|
| 262 |
-
continue
|
| 263 |
-
temp *= odds[n]
|
| 264 |
-
odds_win_3 += temp
|
| 265 |
-
value_win_3 *= odds_win_3
|
| 266 |
-
|
| 267 |
-
value_win_2 = wager * -1
|
| 268 |
-
odds_win_2 = 0
|
| 269 |
-
for i in range(len(odds)):
|
| 270 |
-
temp_1 = 1 - odds[i]
|
| 271 |
-
for n in range(len(odds)):
|
| 272 |
-
if n <= i:
|
| 273 |
-
continue
|
| 274 |
-
temp_2 = (1 - odds[n]) * temp_1
|
| 275 |
-
for j in range(len(odds)):
|
| 276 |
-
if j == i or j == n:
|
| 277 |
-
continue
|
| 278 |
-
temp_2 *= odds[j]
|
| 279 |
-
odds_win_2 += temp_2
|
| 280 |
-
value_win_2 *= odds_win_2
|
| 281 |
-
|
| 282 |
-
odds_inverse = []
|
| 283 |
-
for i in range(len(odds)):
|
| 284 |
-
odds_inverse.append(1 - odds[i])
|
| 285 |
-
|
| 286 |
-
value_win_1 = wager * -1
|
| 287 |
-
odds_win_1 = 0
|
| 288 |
-
for i in range(len(odds_inverse)):
|
| 289 |
-
temp = 1 - odds_inverse[i]
|
| 290 |
-
for n in range(len(odds_inverse)):
|
| 291 |
-
if n == i:
|
| 292 |
-
continue
|
| 293 |
-
temp *= odds_inverse[n]
|
| 294 |
-
odds_win_1 += temp
|
| 295 |
-
value_win_1 *= odds_win_1
|
| 296 |
-
|
| 297 |
-
value_win_0 = wager * -1
|
| 298 |
-
odds_win_0 = 1
|
| 299 |
-
for i in range(len(odds_inverse)):
|
| 300 |
-
odds_win_0 *= odds_inverse[i]
|
| 301 |
-
value_win_0 *= odds_win_0
|
| 302 |
-
|
| 303 |
-
ev = value_win_0 + value_win_1 + value_win_2 + value_win_3 + value_win_4
|
| 304 |
-
print("$" + str(wager) + " 4-legs power play with implied odds: " + str(odds))
|
| 305 |
-
print("Chance to win 4/4 (PnL $" + str(wager * 9) + "): " + str(odds_win_4))
|
| 306 |
-
print("Chance to lose (PnL $" + str(wager * -1) + "): " + str(odds_win_3 + odds_win_2 + odds_win_1 + odds_win_0))
|
| 307 |
-
print("Expected PnL: $" + str(ev))
|
| 308 |
-
print()
|
| 309 |
-
return ev, "4-legs power"
|
| 310 |
-
|
| 311 |
-
def prizepicks_3_legs_flex(wager, odds):
|
| 312 |
-
#calculate EV
|
| 313 |
-
value_win_3 = wager * 1.25
|
| 314 |
-
odds_win_3 = 1
|
| 315 |
-
for i in range(len(odds)):
|
| 316 |
-
odds_win_3 *= odds[i]
|
| 317 |
-
value_win_3 *= odds_win_3
|
| 318 |
-
|
| 319 |
-
value_win_2 = wager * 0.25
|
| 320 |
-
odds_win_2 = 0
|
| 321 |
-
for i in range(len(odds)):
|
| 322 |
-
temp = 1 - odds[i]
|
| 323 |
-
for n in range(len(odds)):
|
| 324 |
-
if n == i:
|
| 325 |
-
continue
|
| 326 |
-
temp *= odds[n]
|
| 327 |
-
odds_win_2 += temp
|
| 328 |
-
value_win_2 *= odds_win_2
|
| 329 |
-
|
| 330 |
-
odds_inverse = []
|
| 331 |
-
for i in range(len(odds)):
|
| 332 |
-
odds_inverse.append(1 - odds[i])
|
| 333 |
-
|
| 334 |
-
value_win_1 = wager * -1
|
| 335 |
-
odds_win_1 = 0
|
| 336 |
-
for i in range(len(odds_inverse)):
|
| 337 |
-
temp = 1 - odds_inverse[i]
|
| 338 |
-
for n in range(len(odds_inverse)):
|
| 339 |
-
if n == i:
|
| 340 |
-
continue
|
| 341 |
-
temp *= odds_inverse[n]
|
| 342 |
-
odds_win_1 += temp
|
| 343 |
-
value_win_1 *= odds_win_1
|
| 344 |
-
|
| 345 |
-
value_win_0 = wager * -1
|
| 346 |
-
odds_win_0 = 1
|
| 347 |
-
for i in range(len(odds_inverse)):
|
| 348 |
-
odds_win_0 *= odds_inverse[i]
|
| 349 |
-
value_win_0 *= odds_win_0
|
| 350 |
-
|
| 351 |
-
ev = value_win_0 + value_win_1 + value_win_2 + value_win_3
|
| 352 |
-
print("$" + str(wager) + " 3-legs flex play with implied odds: " + str(odds))
|
| 353 |
-
print("Chance to win 3/3 (PnL $" + str(wager * 1.25) + "): " + str(odds_win_3))
|
| 354 |
-
print("Chance to win 2/3 (PnL $" + str(wager * 0.25) + "): " + str(odds_win_2))
|
| 355 |
-
print("Chance to lose (PnL $" + str(wager * -1) + "): " + str(odds_win_1 + odds_win_0))
|
| 356 |
-
print("Expected PnL: $" + str(ev))
|
| 357 |
-
print()
|
| 358 |
-
return ev, "3-legs flex"
|
| 359 |
-
|
| 360 |
-
def prizepicks_3_legs_power(wager, odds):
|
| 361 |
-
#calculate EV
|
| 362 |
-
value_win_3 = wager * 4
|
| 363 |
-
odds_win_3 = 1
|
| 364 |
-
for i in range(len(odds)):
|
| 365 |
-
odds_win_3 *= odds[i]
|
| 366 |
-
value_win_3 *= odds_win_3
|
| 367 |
-
|
| 368 |
-
value_win_2 = wager * -1
|
| 369 |
-
odds_win_2 = 0
|
| 370 |
-
for i in range(len(odds)):
|
| 371 |
-
temp = 1 - odds[i]
|
| 372 |
-
for n in range(len(odds)):
|
| 373 |
-
if n == i:
|
| 374 |
-
continue
|
| 375 |
-
temp *= odds[n]
|
| 376 |
-
odds_win_2 += temp
|
| 377 |
-
value_win_2 *= odds_win_2
|
| 378 |
-
|
| 379 |
-
odds_inverse = []
|
| 380 |
-
for i in range(len(odds)):
|
| 381 |
-
odds_inverse.append(1 - odds[i])
|
| 382 |
-
|
| 383 |
-
value_win_1 = wager * -1
|
| 384 |
-
odds_win_1 = 0
|
| 385 |
-
for i in range(len(odds_inverse)):
|
| 386 |
-
temp = 1 - odds_inverse[i]
|
| 387 |
-
for n in range(len(odds_inverse)):
|
| 388 |
-
if n == i:
|
| 389 |
-
continue
|
| 390 |
-
temp *= odds_inverse[n]
|
| 391 |
-
odds_win_1 += temp
|
| 392 |
-
value_win_1 *= odds_win_1
|
| 393 |
-
|
| 394 |
-
value_win_0 = wager * -1
|
| 395 |
-
odds_win_0 = 1
|
| 396 |
-
for i in range(len(odds_inverse)):
|
| 397 |
-
odds_win_0 *= odds_inverse[i]
|
| 398 |
-
value_win_0 *= odds_win_0
|
| 399 |
-
|
| 400 |
-
ev = value_win_0 + value_win_1 + value_win_2 + value_win_3
|
| 401 |
-
print("$" + str(wager) + " 3-legs power play with implied odds: " + str(odds))
|
| 402 |
-
print("Chance to win 3/3 (PnL $" + str(wager * 4) + "): " + str(odds_win_3))
|
| 403 |
-
print("Chance to lose (PnL $" + str(wager * -1) + "): " + str(odds_win_2 + odds_win_1 + odds_win_0))
|
| 404 |
-
print("Expected PnL: $" + str(ev))
|
| 405 |
-
print()
|
| 406 |
-
return ev, "3-legs power"
|
| 407 |
-
|
| 408 |
-
def prizepicks_2_legs_power(wager, odds):
|
| 409 |
-
#calculate EV
|
| 410 |
-
value_win_2 = wager * 2
|
| 411 |
-
odds_win_2 = 1
|
| 412 |
-
for i in range(len(odds)):
|
| 413 |
-
odds_win_2 *= odds[i]
|
| 414 |
-
value_win_2 *= odds_win_2
|
| 415 |
-
|
| 416 |
-
value_win_1 = wager * -1
|
| 417 |
-
odds_win_1 = 0
|
| 418 |
-
for i in range(len(odds)):
|
| 419 |
-
temp = 1 - odds[i]
|
| 420 |
-
for n in range(len(odds)):
|
| 421 |
-
if n == i:
|
| 422 |
-
continue
|
| 423 |
-
temp *= odds[n]
|
| 424 |
-
odds_win_1 += temp
|
| 425 |
-
value_win_1 *= odds_win_1
|
| 426 |
-
|
| 427 |
-
odds_inverse = []
|
| 428 |
-
for i in range(len(odds)):
|
| 429 |
-
odds_inverse.append(1 - odds[i])
|
| 430 |
-
|
| 431 |
-
value_win_0 = wager * -1
|
| 432 |
-
odds_win_0 = 1
|
| 433 |
-
for i in range(len(odds_inverse)):
|
| 434 |
-
odds_win_0 *= odds_inverse[i]
|
| 435 |
-
value_win_0 *= odds_win_0
|
| 436 |
-
|
| 437 |
-
ev = value_win_0 + value_win_1 + value_win_2
|
| 438 |
-
print("$" + str(wager) + " 2-legs power play with implied odds: " + str(odds))
|
| 439 |
-
print("Chance to win 2/2 (PnL $" + str(wager * 2) + "): " + str(odds_win_2))
|
| 440 |
-
print("Chance to lose (PnL $" + str(wager * -1) + "): " + str(odds_win_1 + odds_win_0))
|
| 441 |
-
print("Expected PnL: $" + str(ev))
|
| 442 |
-
print()
|
| 443 |
-
return ev, "2-legs power"
|
| 444 |
-
|
| 445 |
-
def sort_plays(plays):
|
| 446 |
-
plays.sort(key = lambda x: x[0], reverse=True)
|
| 447 |
-
return plays
|
| 448 |
-
|
| 449 |
-
def main():
|
| 450 |
-
input_fname = "All-Sports_PrizePicks Optimizer.csv"
|
| 451 |
-
output_fname = "dgf.csv"
|
| 452 |
-
|
| 453 |
-
with open(input_fname, newline='') as inFile, open(output_fname, 'w', newline='') as outFile:
|
| 454 |
-
r = csv.reader(inFile)
|
| 455 |
-
w = csv.writer(outFile)
|
| 456 |
-
|
| 457 |
-
next(r, None)
|
| 458 |
-
w.writerow(['First Name', 'Last Name', 'Sport', 'Team', 'Over/Under', 'Prop', 'PrizePicks Line',
|
| 459 |
-
'Sportsbook Line', 'DGF', 'Pinnacle', 'Fanduel', 'DraftKings', 'Barstool', 'MGM', 'Caesars',
|
| 460 |
-
'BetOnline', 'Bovada', 'Bet365', 'FoxBet', 'Odds to hit'])
|
| 461 |
-
|
| 462 |
-
for row in r:
|
| 463 |
-
w.writerow(row)
|
| 464 |
-
|
| 465 |
-
data = pandas.read_csv('dgf.csv')
|
| 466 |
-
top_lines = data.iloc [[0,1,2,3,4,5]]
|
| 467 |
-
print(top_lines)
|
| 468 |
-
odds = top_lines['Odds to hit'].tolist()
|
| 469 |
-
|
| 470 |
-
plays_6 = top_lines.iloc [[0,1,2,3,4,5], [0,1,4,5,6]]
|
| 471 |
-
plays_5 = top_lines.iloc [[0,1,2,3,4], [0,1,4,5,6]]
|
| 472 |
-
plays_4 = top_lines.iloc [[0,1,2,3], [0,1,4,5,6]]
|
| 473 |
-
plays_3 = top_lines.iloc [[0,1,2], [0,1,4,5,6]]
|
| 474 |
-
plays_2 = top_lines.iloc [[0,1], [0,1,4,5,6]]
|
| 475 |
-
|
| 476 |
-
for i in range(len(odds)):
|
| 477 |
-
odds[i] = odds[i]/100
|
| 478 |
-
|
| 479 |
-
wager = 100
|
| 480 |
-
plays = []
|
| 481 |
-
pp_6_legs_flex = prizepicks_6_legs_flex(wager, odds)
|
| 482 |
-
pp_6_legs_flex_ev = pp_6_legs_flex[0]
|
| 483 |
-
plays.append(pp_6_legs_flex)
|
| 484 |
-
|
| 485 |
-
pp_5_legs_flex = prizepicks_5_legs_flex(wager, odds[:5])
|
| 486 |
-
pp_5_legs_flex_ev = pp_5_legs_flex[0]
|
| 487 |
-
plays.append(pp_5_legs_flex)
|
| 488 |
-
|
| 489 |
-
pp_4_legs_flex = prizepicks_4_legs_flex(wager, odds[:4])
|
| 490 |
-
pp_4_legs_flex_ev = pp_4_legs_flex[0]
|
| 491 |
-
plays.append(pp_4_legs_flex)
|
| 492 |
-
|
| 493 |
-
pp_4_legs_power = prizepicks_4_legs_power(wager, odds[:4])
|
| 494 |
-
pp_4_legs_power_ev = pp_4_legs_power[0]
|
| 495 |
-
plays.append(pp_4_legs_power)
|
| 496 |
-
|
| 497 |
-
pp_3_legs_flex = prizepicks_3_legs_flex(wager, odds[:3])
|
| 498 |
-
pp_3_legs_flex_ev = pp_3_legs_flex[0]
|
| 499 |
-
plays.append(pp_3_legs_flex)
|
| 500 |
-
|
| 501 |
-
pp_3_legs_power = prizepicks_3_legs_power(wager, odds[:3])
|
| 502 |
-
pp_3_legs_power_ev = pp_3_legs_power[0]
|
| 503 |
-
plays.append(pp_3_legs_power)
|
| 504 |
-
|
| 505 |
-
pp_2_legs_power = prizepicks_2_legs_power(wager, odds[:2])
|
| 506 |
-
pp_2_legs_power_ev = pp_2_legs_power[0]
|
| 507 |
-
plays.append(pp_2_legs_power)
|
| 508 |
-
|
| 509 |
-
outputs = []
|
| 510 |
-
|
| 511 |
-
output_6_flex = ""
|
| 512 |
-
output_6_flex += "$" + str(wager) + " 6-legs flex play expected PnL: $" + str(float("{:.2f}".format(pp_6_legs_flex_ev))) + "\n"
|
| 513 |
-
output_6_flex += str(plays_6)
|
| 514 |
-
output_6_flex += "\n"
|
| 515 |
-
tup_6_flex = (pp_6_legs_flex_ev, output_6_flex)
|
| 516 |
-
outputs.append(tup_6_flex)
|
| 517 |
-
|
| 518 |
-
output_5_flex = ""
|
| 519 |
-
output_5_flex += "$" + str(wager) + " 5-legs flex play expected PnL: $" + str(float("{:.2f}".format(pp_5_legs_flex_ev))) + "\n"
|
| 520 |
-
output_5_flex += str(plays_5)
|
| 521 |
-
output_5_flex += "\n"
|
| 522 |
-
tup_5_flex = (pp_5_legs_flex_ev, output_5_flex)
|
| 523 |
-
outputs.append(tup_5_flex)
|
| 524 |
-
|
| 525 |
-
output_4_flex = ""
|
| 526 |
-
output_4_flex += "$" + str(wager) + " 4-legs flex play expected PnL: $" + str(float("{:.2f}".format(pp_4_legs_flex_ev))) + "\n"
|
| 527 |
-
output_4_flex += str(plays_4)
|
| 528 |
-
output_4_flex += "\n"
|
| 529 |
-
tup_4_flex = (pp_4_legs_flex_ev, output_4_flex)
|
| 530 |
-
outputs.append(tup_4_flex)
|
| 531 |
-
|
| 532 |
-
output_4_power = ""
|
| 533 |
-
output_4_power += "$" + str(wager) + " 4-legs power play expected PnL: $" + str(float("{:.2f}".format(pp_4_legs_power_ev))) + "\n"
|
| 534 |
-
output_4_power += str(plays_4)
|
| 535 |
-
output_4_power += "\n"
|
| 536 |
-
tup_4_power = (pp_4_legs_power_ev, output_4_power)
|
| 537 |
-
outputs.append(tup_4_power)
|
| 538 |
-
|
| 539 |
-
output_3_flex = ""
|
| 540 |
-
output_3_flex += "$" + str(wager) + " 3-legs flex play expected PnL: $" + str(float("{:.2f}".format(pp_3_legs_flex_ev))) + "\n"
|
| 541 |
-
output_3_flex += str(plays_3)
|
| 542 |
-
output_3_flex += "\n"
|
| 543 |
-
tup_3_flex = (pp_3_legs_flex_ev, output_3_flex)
|
| 544 |
-
outputs.append(tup_3_flex)
|
| 545 |
-
|
| 546 |
-
output_3_power = ""
|
| 547 |
-
output_3_power += "$" + str(wager) + " 3-legs power play expected PnL: $" + str(float("{:.2f}".format(pp_3_legs_power_ev))) + "\n"
|
| 548 |
-
output_3_power += str(plays_3)
|
| 549 |
-
output_3_power += "\n"
|
| 550 |
-
tup_3_power = (pp_3_legs_power_ev, output_3_power)
|
| 551 |
-
outputs.append(tup_3_power)
|
| 552 |
-
|
| 553 |
-
output_2_power = ""
|
| 554 |
-
output_2_power += "$" + str(wager) + " 2-legs power play expected PnL: $" + str(float("{:.2f}".format(pp_2_legs_power_ev))) + "\n"
|
| 555 |
-
output_2_power += str(plays_2)
|
| 556 |
-
output_2_power += "\n"
|
| 557 |
-
tup_2_power = (pp_2_legs_power_ev, output_2_power)
|
| 558 |
-
outputs.append(tup_2_power)
|
| 559 |
-
|
| 560 |
-
sort_plays(outputs)
|
| 561 |
-
for i in range(len(outputs)):
|
| 562 |
-
print(outputs[i][1])
|
| 563 |
-
|
| 564 |
-
if __name__ == "__main__":
|
| 565 |
-
main()
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|