In [1]:
import numpy as np
import matplotlib.pyplot as plt
import matplotlib.animation as animation
import mpl_toolkits.mplot3d.axes3d as p3
import json
from tqdm import tqdm
from datetime import datetime, timedelta
from sklearn.cluster import AffinityPropagation, KMeans, SpectralClustering, AgglomerativeClustering
from sklearn.preprocessing import StandardScaler
from mpl_toolkits.mplot3d import Axes3D
from itertools import cycle
from functions import get_stations, trips_by_hour, trips_between_minutes
from scipy.spatial import distance
from constants import colors as C
colors = cycle(C)
In [2]:
def affinity_propagation_clustering(data, **kwargs):
af = AffinityPropagation(**kwargs).fit(data)
cluster_centers_indices = af.cluster_centers_indices_
labels = af.labels_
n_clusters_ = len(cluster_centers_indices)
for i in range(n_clusters_):
# select only data observations with cluster label == i
yield data[np.where(labels == i)], data[cluster_centers_indices[i]]
def k_means_clustering(data, **kwargs):
kmeans = KMeans(**kwargs)
kmeans.fit(data)
labels = kmeans.labels_
centroids = kmeans.cluster_centers_
for i in range(kwargs['n_clusters']):
# select only data observations with cluster label == i
yield data[np.where(labels == i)], centroids[i]
def spectral_clustering(data, **kwargs):
sc = SpectralClustering(**kwargs)
sc.fit(data)
labels = sc.labels_
for i in range(kwargs['n_clusters']):
# select only data observations with cluster label == i
yield data[np.where(labels == i)]
def agglomerative_clustering(data, **kwargs):
sc = AgglomerativeClustering(**kwargs)
sc.fit(data)
labels = sc.labels_
for i in range(kwargs['n_clusters']):
# select only data observations with cluster label == i
yield data[np.where(labels == i)]
def gen_balanca_data(trips, df):
def balance(row):
sign = lambda x: (1, -1)[x<0]
return max((row.llegadas, row.salidas)) / (min((row.llegadas, row.salidas)) or 1) * sign(row.llegadas - row.salidas)
df['lat'] = df.location.apply(lambda x: float(x.split(',')[0])*100)
df['lon'] = df.location.apply(lambda x: float(x.split(',')[1])*100)
df['salidas'] = df.apply(lambda row: len(trips[trips.departure_station == row['id']].index), axis=1)
df['llegadas'] = df.apply(lambda row: len(trips[trips.arrival_station == row['id']].index), axis=1)
df['balance'] = df.apply(lambda row: balance(row), axis=1)
# max_balance = df.balance.max()
# min_balance = df.balance.min()
# # Revisar esto!!!!!!!
# df.balance = df.balance.apply(lambda x: ((x - min_balance) / ((max_balance - min_balance) /2)) - 1)
# df.balance = df.balance.apply(lambda x: x / 10)
def gen_balanca_data_abs(trips, df):
def balance(row):
sign = lambda x: (1, -1)[x<0]
return max((row.llegadas, row.salidas)) / (min((row.llegadas, row.salidas)) or 1) * sign(row.llegadas - row.salidas)
df['lat'] = df.location.apply(lambda x: float(x.split(',')[0]))
df['lon'] = df.location.apply(lambda x: float(x.split(',')[1]))
df['viajes'] = df.apply(lambda row: len(trips[(trips.departure_station == row['id']) | (trips.arrival_station == row['id'])].index), axis=1)
max_viajes = df.viajes.max()
df['viajes'] = df.viajes.apply(lambda x: (x / max_viajes) / 10)
In [3]:
stations = get_stations()
# salidas_15 = json.load(open('data/salidas_2015.json'))
# llegadas_15 = json.load(open('data/llegadas_2015.json'))
In [11]:
# stations = get_stations()
gen_balanca_data_abs(trips_by_hour(7,2016), stations)
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
d = stations[['lon','lat', 'viajes']].values
ax.scatter(d[:, 0], d[:, 1], d[:, 2], marker='o', color=(0.3, 0, 0.6))
ax.set_xlabel('Longitud')
ax.set_ylabel('Latitud')
ax.set_zlabel('Viajes')
plt.show(block=False)
In [20]:
# stations = get_stations()
# gen_balanca_data_abs(trips_by_hour(7,2016), stations)
# squared_dev = lambda x, m: (x -m)**2
# wss = []
# for i in range(1,40):
# total_wss = 0
# for datum, centroid in k_means_clustering(StandardScaler().fit_transform(stations[['lon','lat', 'viajes']].values), n_clusters=i):
# total_wss += sum([sum([squared_dev(d[j], centroid[j]) for j in range(3)]) for d in datum])
# wss.append(total_wss)
plt.plot(wss, color="b")
plt.axvline(x=10, color="r")
plt.ylabel('Total de suma de cuadrados para n clusters')
plt.show()
In [24]:
# stations = get_stations()
gen_balanca_data_abs(trips_by_hour(7,2016), stations)
for datum, centroid in k_means_clustering(StandardScaler().fit_transform(stations[['lon','lat', 'viajes']].values), n_clusters=10):
plt.plot(datum[:, 0], datum[:, 1], 'o', color=next(colors))
# plot the centroids
lines = plt.plot(centroid[0], centroid[1], 'kx')
# make the centroid x's bigger
plt.setp(lines, ms=15.0)
plt.setp(lines, mew=2.0)
plt.show(block=False)
In [22]:
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
for datum, centroid in k_means_clustering(StandardScaler().fit_transform(stations[['lon','lat', 'viajes']].values), n_clusters=14):
color = next(colors)
ax.scatter(datum[:, 0], datum[:, 1], datum[:, 2], marker='o', color=color)
# plot the centroids
ax.scatter(centroid[0], centroid[1], centroid[2], marker='x', color=color, alpha=1, linewidths=2)
ax.set_xlabel('Longitud')
ax.set_ylabel('Latitud')
ax.set_zlabel('Viajes')
plt.show(block=False)
In [35]:
# Guardar cuales estaciones pertenecen a cual cluster
i = 0
res = {}
for datum, centroid in k_means_clustering(stations[['lon','lat', 'viajes']].values, n_clusters=14):
res[str(i)] = []
for d in datum:
res[str(i)] += [int(stations[stations.viajes == d[2]].id.iloc[0])]
i += 1
with open('clusters_list.json', 'w') as fp:
json.dump(res, fp)
In [25]:
# Plot Affinity Propagation in 2D
# stations = get_stations()
gen_balanca_data(trips_by_hour(7,2016), stations)
i = 0
for datum, centroid in affinity_propagation_clustering(StandardScaler().fit_transform(stations[['lon','lat', 'viajes']].values)):
plt.plot(datum[:, 0], datum[:, 1], 'o', color=next(colors))
# plot the centroids
lines = plt.plot(centroid[0], centroid[1], 'kx')
# make the centroid x's bigger
plt.setp(lines, ms=15.0)
plt.setp(lines, mew=2.0)
i += 1
plt.title("%s clusters de affinity propagation" % i)
plt.show(block=False)
In [26]:
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
i = 0
for datum, centroid in affinity_propagation_clustering(StandardScaler().fit_transform(stations[['lon','lat', 'viajes']].values)):
color = next(colors)
ax.scatter(datum[:, 0], datum[:, 1], datum[:, 2], marker='o', color=color)
# plot the centroids
ax.scatter(centroid[0], centroid[1], centroid[2], marker='x', color=color, alpha=1, linewidths=2)
i += 1
ax.set_xlabel('Longitud')
ax.set_ylabel('Latitud')
ax.set_zlabel('Viajes')
plt.title("%s clusters de affinity propagation" % i)
plt.show(block=False)
In [5]:
# 3D plot of K means
hourly_trips = trips_by_hour(7,2015)
gen_balanca_data(trips_by_hour(7,2015), stations)
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
for datum, centroid in k_means_clustering(stations[['lon','lat', 'balance']].as_matrix(), 10):
ax.scatter(datum[:, 0], datum[:, 1], datum[:, 2], marker='o', color=next(colors))
# plot the centroids
ax.scatter(centroid[0], centroid[1], centroid[2], marker='x', color=next(colors), alpha=1, linewidths=2)
ax.set_xlabel('Longitud')
ax.set_ylabel('Latitud')
ax.set_zlabel('Balance')
plt.show(block=False)
In [7]:
# 3D plot of Affinity Propagation
trips = trips_by_hour(7,2015)
gen_balanca_data(trips, stations)
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
clusters = 0
for datum, centroid in affinity_propagation_clustering(stations[['lon','lat', 'balance']].as_matrix()):
ax.scatter(datum[:, 0], datum[:, 1], datum[:, 2], marker='o', color=next(colors))
# plot the centroids
ax.scatter(centroid[0], centroid[1], centroid[2], marker='x', color=next(colors), alpha=1, linewidths=2)
clusters += 1
fig.canvas.set_window_title('Clusters: %s' % clusters)
ax.set_xlabel('Longitud')
ax.set_ylabel('Latitud')
ax.set_zlabel('Balance')
plt.show(block=False)
In [11]:
# 3D plot of Spectral Clustering
trips = trips_by_hour(7,2015)
gen_balanca_data(trips, stations)
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
clusters = 0
for datum in spectral_clustering(stations[['lon','lat', 'balance']].as_matrix(), n_clusters=10):
ax.scatter(datum[:, 0], datum[:, 1], datum[:, 2], marker='o', color=next(colors))
clusters += 1
fig.canvas.set_window_title('Clusters: %s' % clusters)
ax.set_xlabel('Longitud')
ax.set_ylabel('Latitud')
ax.set_zlabel('Balance')
plt.show(block=False)
In [14]:
# 3D plot of Agglomerative Clustering
trips = trips_by_hour(7,2015)
gen_balanca_data(trips, stations)
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
clusters = 0
for datum in agglomerative_clustering(stations[['lon','lat', 'balance']].as_matrix(), n_clusters=22):
ax.scatter(datum[:, 0], datum[:, 1], datum[:, 2], marker='o', color=next(colors))
clusters += 1
fig.canvas.set_window_title('Clusters: %s' % clusters)
ax.set_xlabel('Longitud')
ax.set_ylabel('Latitud')
ax.set_zlabel('Balance')
plt.show(block=False)
In [5]:
# 3D plot K means animation every hour
total_data = []
# Generate all data
for i in range(7, 24):
hourly_trips = trips_by_hour(i,2015)
gen_balanca_data(hourly_trips, stations)
total_data.append(stations[['lon','lat', 'balance']].as_matrix())
# Function for animation
def update_lines(num):
global fig
global scat
global data
for s2 in scat_centroids:
s2.remove()
# for s1, s2 in zip(scat_stations, scat_centroids):
# s1.remove()
# s2.remove()
for i, (datum, centroid) in enumerate(k_means_clustering(total_data[num], 10)):
# scat_stations[i] = ax.scatter(datum[:, 0], datum[:, 1], datum[:, 2], marker='o', color=C[i])
# plot the centroids
scat_centroids[i] = ax.scatter(centroid[0], centroid[1], centroid[2], marker='x', color=C[i], alpha=1, linewidths=2)
# scat.remove()
fig.canvas.set_window_title('%s - %s' % (num + 7, num + 8))
# scat = ax.scatter(data[num][:,0], data[num][:,1], data[num][:,2])
return scat_centroids
# Attaching 3D axis to the figure
fig = plt.figure()
ax = p3.Axes3D(fig)
# Setting the axes properties
ax.set_xlim3d([-99.207808, -99.130918]) # Min, max lon values
ax.set_xlabel('Longitud')
ax.set_ylim3d([19.35827, 19.444031]) # Min, max lat values
ax.set_ylabel('Latitud')
ax.set_zlim3d([-.10, .10])
ax.set_zlabel('Balance')
scat_stations, scat_centroids = [], []
for datum, centroid in k_means_clustering(stations[['lon','lat', 'balance']].as_matrix(), 10):
# scat_stations.append(ax.scatter(datum[:, 0], datum[:, 1], datum[:, 2], marker='o', color=next(colors)))
# plot the centroids
scat_centroids.append(ax.scatter(centroid[0], centroid[1], centroid[2], 'kx'))
# scat = [ax.scatter(data[0][:,0], data[0][:,1], data[0][:,2])]
# Creating the Animation object
line_ani = animation.FuncAnimation(fig, update_lines, len(total_data), interval=1500)
plt.show()
In [6]:
# 3D plot K means animation every 5 minutes
# total_data = []
# # Generate all data
# start = datetime(2018, 1, 1, hour=5, minute=0)
# for i in range(228):
# end = start + timedelta(minutes=5)
# trips = trips_between_minutes(start.hour, start.minute, end.hour, end.minute, 2015)
# gen_balanca_data(trips, stations)
# total_data.append(stations[['lon','lat', 'balance']].fillna(value=0).as_matrix())
# start = end
# Function for animation
def update_lines(num):
global fig
global scat
global data
for s2 in scat_centroids:
s2.remove()
# for s1, s2 in zip(scat_stations, scat_centroids):
# s1.remove()
# s2.remove()
for i, (datum, centroid) in enumerate(k_means_clustering(total_data[num], 10)):
# scat_stations[i] = ax.scatter(datum[:, 0], datum[:, 1], datum[:, 2], marker='o', color=C[i])
# plot the centroids
scat_centroids[i] = ax.scatter(centroid[0], centroid[1], centroid[2], marker='x', color=C[i], alpha=1, linewidths=2)
# scat.remove()
fig.canvas.set_window_title('%s - %s' % (num + 7, num + 8))
# scat = ax.scatter(data[num][:,0], data[num][:,1], data[num][:,2])
return scat_centroids
# Attaching 3D axis to the figure
fig = plt.figure()
ax = p3.Axes3D(fig)
# Setting the axes properties
ax.set_xlim3d([-99.207808, -99.130918]) # Min, max lon values
ax.set_xlabel('Longitud')
ax.set_ylim3d([19.35827, 19.444031]) # Min, max lat values
ax.set_ylabel('Latitud')
ax.set_zlim3d([-.10, .10])
ax.set_zlabel('Balance')
scat_stations, scat_centroids = [], []
for datum, centroid in k_means_clustering(stations[['lon','lat', 'balance']].fillna(value=0).as_matrix(), 10):
# scat_stations.append(ax.scatter(datum[:, 0], datum[:, 1], datum[:, 2], marker='o', color=next(colors)))
# plot the centroids
scat_centroids.append(ax.scatter(centroid[0], centroid[1], centroid[2], 'kx'))
# scat = [ax.scatter(data[0][:,0], data[0][:,1], data[0][:,2])]
# Creating the Animation object
line_ani = animation.FuncAnimation(fig, update_lines, len(total_data), interval=1500)
plt.show()
In [46]:
# Find best clusters for first timelapse
MAX_CLUSTERS = 150
bal_1_k_means = []
bal_1_spectral = []
bal_1_agglomerative = []
# Generate all data
start = datetime(2018, 1, 1, hour=5, minute=0)
end = datetime(2018, 1, 1, hour=13, minute=0)
trips = trips_between_minutes(start.hour, start.minute, end.hour, end.minute, 2015)
gen_balanca_data(trips, stations)
# Progress Bar
pbar = tqdm(total=MAX_CLUSTERS - 1)
for i in range(1, MAX_CLUSTERS):
pbar.update()
# K means
k = k_means_clustering(stations[['lon','lat']].as_matrix(), n_clusters=i)
bal_1_k_means.append([stations[(stations.lon.isin(d[:,0])) & (stations.lat.isin(d[:,1]))].balance.sum() for d, c in k])
# Spectral Clustering
s = spectral_clustering(stations[['lon','lat']].as_matrix(), n_clusters=i)
bal_1_spectral.append([stations[(stations.lon.isin(d[:,0])) & (stations.lat.isin(d[:,1]))].balance.sum() for d in s])
# Agglomerative Clustering
a = agglomerative_clustering(stations[['lon','lat']].as_matrix(), n_clusters=i)
bal_1_agglomerative.append([stations[(stations.lon.isin(d[:,0])) & (stations.lat.isin(d[:,1]))].balance.sum() for d in a])
pbar.close()
100%|████████████████████████████████████████████████████████████████████████████████| 149/149 [02:26<00:00, 1.85s/it]
In [47]:
# Find best clusters for second timelapse
MAX_CLUSTERS = 150
bal_2_k_means = []
bal_2_spectral = []
bal_2_agglomerative = []
# Generate all data
start = datetime(2018, 1, 1, hour=13, minute=30)
end = datetime(2018, 1, 1, hour=17, minute=30)
trips = trips_between_minutes(start.hour, start.minute, end.hour, end.minute, 2015)
gen_balanca_data(trips, stations)
# Progress Bar
pbar = tqdm(total=MAX_CLUSTERS - 1)
for i in range(1, MAX_CLUSTERS):
pbar.update()
# K means
k = k_means_clustering(stations[['lon','lat']].as_matrix(), n_clusters=i)
bal_2_k_means.append([stations[(stations.lon.isin(d[:,0])) & (stations.lat.isin(d[:,1]))].balance.sum() for d, c in k])
# Spectral Clustering
s = spectral_clustering(stations[['lon','lat']].as_matrix(), n_clusters=i)
bal_2_spectral.append([stations[(stations.lon.isin(d[:,0])) & (stations.lat.isin(d[:,1]))].balance.sum() for d in s])
# Agglomerative Clustering
a = agglomerative_clustering(stations[['lon','lat']].as_matrix(), n_clusters=i)
bal_2_agglomerative.append([stations[(stations.lon.isin(d[:,0])) & (stations.lat.isin(d[:,1]))].balance.sum() for d in a])
pbar.close()
100%|████████████████████████████████████████████████████████████████████████████████| 149/149 [02:25<00:00, 1.91s/it]
In [48]:
# Find best clusters for second timelapse
MAX_CLUSTERS = 150
bal_3_k_means = []
bal_3_spectral = []
bal_3_agglomerative = []
# Generate all data
start = datetime(2018, 1, 1, hour=17, minute=30)
end = datetime(2018, 1, 1, hour=23, minute=59)
trips = trips_between_minutes(start.hour, start.minute, end.hour, end.minute, 2015)
gen_balanca_data(trips, stations)
# Progress Bar
pbar = tqdm(total=MAX_CLUSTERS - 1)
for i in range(1, MAX_CLUSTERS):
pbar.update()
# K means
k = k_means_clustering(stations[['lon','lat']].as_matrix(), n_clusters=i)
bal_3_k_means.append([stations[(stations.lon.isin(d[:,0])) & (stations.lat.isin(d[:,1]))].balance.sum() for d, c in k])
# Spectral Clustering
s = spectral_clustering(stations[['lon','lat']].as_matrix(), n_clusters=i)
bal_3_spectral.append([stations[(stations.lon.isin(d[:,0])) & (stations.lat.isin(d[:,1]))].balance.sum() for d in s])
# Agglomerative Clustering
a = agglomerative_clustering(stations[['lon','lat']].as_matrix(), n_clusters=i)
bal_3_agglomerative.append([stations[(stations.lon.isin(d[:,0])) & (stations.lat.isin(d[:,1]))].balance.sum() for d in a])
pbar.close()
100%|████████████████████████████████████████████████████████████████████████████████| 149/149 [02:22<00:00, 1.87s/it]
In [52]:
[np.median(balances) for balances in bal_k_means]
Out[52]:
[-131.29056463578286,
-65.645282317891429,
-37.768600279236011,
-33.067043792847983,
-15.797955393242379,
-11.751889092455668,
-15.95825318769279,
-10.264938062043505,
-10.828799164704277,
-6.0302268821273151,
1.1049291148735438,
1.2038009877647902,
-6.6201486026606444,
-2.9498202874640143,
-7.4959884524221909,
-7.1298107496795193,
-8.6895368395189649,
-9.4992114142488226,
-3.2003109657700115,
-5.6769205276470718,
-4.5545937048457326,
-2.0542112906042997,
-4.3614961645449277,
-4.595277797941451,
-4.4826128821726954,
-0.35567119836018823,
-3.5317545258990268,
-1.4095423158871605,
-6.4786876850119643,
-4.4587843241828375,
2.4604606449041184,
-0.13036175232975555,
-4.7574778729369189,
0.51944073784802136,
-2.6085271049346943,
0.57012599870457981,
-2.1447504007444422,
-1.8247663344895126,
0.38136733698468972,
-3.9059779153438874,
-0.00013312217111538516,
-0.38344305460881711,
-2.5568805281313187,
-0.64440400239395024,
-1.063994513155613,
-1.0374747659914649,
-1.4760774047826952,
-1.5148542695447271,
-0.51969456407721193,
-0.90369097169875046,
-1.0417997888377823,
-0.71385370198464748,
-0.98489341047736034,
0.15193240314789991,
-0.34334321829418291,
-2.2251129226833948,
-0.15026177868251356,
-1.5669456421111843,
-0.47844526741454763,
0.0017591234768480346,
-1.3980007891452213,
-0.30721205335099522,
-1.3389587687066375,
-0.471022013678704,
-0.11111554324358175,
-0.49834292960808624,
-0.83219136835061902,
-1.1209264050359709,
-1.0623612602935912,
-0.46870976581252999,
-1.9169367164116291,
-0.59707481366605708,
-0.43073215253415476,
-0.43073767779719452,
-1.6459425097455538,
-0.66751983926323055,
-1.3933890654292083,
-0.62501839916599,
-0.92420071476866572,
-0.94765954752725245,
-1.5115080958115885,
-0.049451952686477396,
-0.14852860710584781,
-0.95908793650907409,
-2.1159502262443439,
-0.73857415063471532,
-0.76863876863876857,
-0.16670287360888303,
-0.042095882510392979,
-0.62516905752199869,
-0.23881922675026113,
-0.48448906182744422,
-0.76863876863876857,
-0.68422998131252399,
-0.43073215253415476,
0.23017441258485205,
-0.097016411983896544,
-0.52468808186042459,
-0.085704623883348763,
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In [54]:
bal_1_k_means
Out[54]:
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In [ ]:
# Caso especial
def gen_balanca_data_mod(trips, df):
def balance(row):
sign = lambda x: (1, -1)[x<0]
return max((row.llegadas, row.salidas)) / (min((row.llegadas, row.salidas)) or 1) * sign(row.llegadas - row.salidas)
df['lat'] = df.location.apply(lambda x: float(x.split(',')[0])*100)
df['lon'] = df.location.apply(lambda x: float(x.split(',')[1])*100)
df['salidas'] = df.apply(lambda row: len(trips[trips.departure_station == row['id']].index), axis=1)
df['llegadas'] = df.apply(lambda row: len(trips[trips.arrival_station == row['id']].index), axis=1)
df['balance'] = df.apply(lambda row: abs(balance(row)), axis=1)
start = datetime(2018, 1, 1, hour=0, minute=1)
end = datetime(2018, 1, 1, hour=23, minute=59)
trips = trips_between_minutes(start.hour, start.minute, end.hour, end.minute, 2015)
k = k_means_clustering(stations[['lon','lat', 'bal']].as_matrix(), n_clusters=i)
bal_3_k_means.append([stations[(stations.lon.isin(d[:,0])) & (stations.lat.isin(d[:,1]))].balance.sum() for d, c in k])
# Attaching 3D axis to the figure
fig = plt.figure()
ax = p3.Axes3D(fig)
# Setting the axes properties
ax.set_xlim3d([-99.207808, -99.130918]) # Min, max lon values
ax.set_xlabel('Longitud')
ax.set_ylim3d([1935.827, 1944.4031]) # Min, max lat values
ax.set_ylabel('Latitud')
ax.set_zlim3d([-.10, .10])
ax.set_zlabel('Balance')
scat_stations, scat_centroids = [], []
for datum, centroid in k_means_clustering(stations[['lon','lat', 'balance']].fillna(value=0).as_matrix(), 10):
# scat_stations.append(ax.scatter(datum[:, 0], datum[:, 1], datum[:, 2], marker='o', color=next(colors)))
# plot the centroids
scat_centroids.append(ax.scatter(centroid[0], centroid[1], centroid[2], 'kx'))
# scat = [ax.scatter(data[0][:,0], data[0][:,1], data[0][:,2])]
plt.show()
Content source: kunovg/EcoBici
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