Keccak

Quelle: LBankZeit: 2024-09-17 01:01:29

Keccak, pronounced "ketchak," is a versatile cryptographic tool developed by Guido Bertoni, Joan Daemen, Michaël Peeters, and Gilles Van Assche. While Keccak serves various purposes, it is most prominently known for its role as a hash function, offering heightened security levels compared to older hash algorithms like SHA-1 and SHA-2.


Speaking of SHA (Secure Hash Algorithm), this is a series of cryptographic hash functions published by the National Institute of Standards and Technology (NIST) in the United States. Both SHA-1 and SHA-2 were designed by the National Security Agency (NSA) and share similar structures. Although Keccak supports output sizes (hash lengths) identical to SHA-2, its operational mechanism diverges significantly. Intriguingly, Keccak falls under the SHA family umbrella, often referred to as SHA-3.


As early as 2004, theoretical attacks on SHA-1 began to emerge and were publicly disclosed in 2005. By 2011, NIST declared SHA-2 as the new standard hash function. However, the transition from SHA-1 to SHA-2 was gradual, with most developers and computer scientists not adopting SHA-2 until early 2017. Soon afterward, in February 2017, Google announced the successful execution of a SHA-1 collision attack, rendering SHA-1 insecure and prompting its discontinuation.


The development of Keccak (SHA-3) started around 2007 when NIST initiated an open competition and review process seeking a new cryptographic hash function to overcome the potential weaknesses of SHA-1 and SHA-2. Although no significant attacks against SHA-2 had been demonstrated at that time, considering the potential for hash functions to be broken over time and the years required to develop new standard functions, coupled with the early attacks on SHA-1, NIST foresaw the need for a novel cryptographic hashing algorithm. Ultimately, in 2012, NIST announced Keccak as the winner, standardizing it as the latest member of the SHA family—SHA-3.


Keccak was favored by NIST partly due to its innovative structure, proven more secure and efficient than other algorithms. Technically, the SHA-3 algorithm is based on a sponge function or sponge construction, which contrasts with the Merkle-Damgård construction used by SHA-1 and SHA-2.


Presently, SHA-2 remains secure and widely employed, such as in Bitcoin and other cryptocurrencies where SHA-256 plays a pivotal role in mining. Looking ahead, with Keccak yet to be successfully attacked, we may witness its increased adoption. Nonetheless, as the field of cryptography evolves and new vulnerabilities surface, the coming years will likely see the emergence of more cryptographic hash algorithms.

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8.36%
0.569
4.40%
16.87
2.12%
0.00495
-1.39%
0.04078
-2.97%
0.0000202
2.02%
0.000672
-7.69%
0.1122
0.72%
2.180
0.65%
0.001944
2.05%
0.001046
7.72%
0.6331
2.74%
0.000001602
-9.64%
0.7234
5.42%
0.1449
1.33%
0.00000014407
1.57%
0.5246
1.25%
1.7793
-1.14%
0.02704
-0.15%
0.1808
0.72%
0.0963
3.10%
0.50848
0.73%
0.9009
2.27%
0.0463
2.43%
0.00000000009063
2.76%
0.00123
-13.99%
0.003000
6.42%
0.0000003258
11.42%
0.004547
-4.60%
0.0000001272
0.95%
0.03394
2.69%
0.00003118
46.32%
43.28
1.64%
0.001903
-2.61%
0.000884
5.11%
0.001752
-2.07%
0.03838
4.49%
0.05922
-0.57%
5.31
5.99%
0.2062
1.48%
0.01187
-0.25%
0.00794
-1.37%
1.02862
0.02%
0.00318
0.63%
0.1065
-5.00%
0.0066
0.00%
146.30
0.40%
2.498
-8.83%
0.01751
6.25%
0.01061
3.11%
0.0061
-4.69%
6.7304
4.96%
0.05470
2.82%
0.1677
2.19%
0.001678
-2.10%
0.0000480
-3.03%
0.00001288
6.53%
0.0685
-11.50%
0.4413
-0.61%
0.0446
1.83%
0.3198
-4.54%
0.00025720
-0.41%
0.0290
-0.68%
1.771
3.03%
0.000447
-6.29%
0.03895
-1.84%
0.0000000001941
-3.29%
0.009021
-11.03%
1.1769
4.57%
0.0217
-7.26%
0.000906
1.23%
0.002459
3.62%
0.0892
2.65%
0.00290
-1.36%
0.0022855
-0.36%
0.035669
7.28%
0.01584
1.21%
0.01782
-12.82%
30.31
2.85%
0.001560
11.35%
0.000716
9.48%
0.002717
8.55%
0.0881
7.18%
0.0000614
-2.23%
0.3457
-0.23%
0.0759
-4.41%
0.004169
10.44%
0.000747
-11.60%
0.0504
-28.10%
0.02872
8.71%
0.002829
-5.98%
0.01841
1.38%
0.01363
5.33%
0.0000000223
9.85%
0.1099
-0.90%
0.496
7.36%
0.017744
-3.86%
0.0000019
0.00%
0.001700
75.26%
0.03493
0.00%
3.259
-0.49%
1.1099
-0.13%
0.863
1.29%
6.89
3.45%
0.2916
1.53%
0.814
1.88%
0.1389
13.67%
0.05805
2.51%
0.000497
2.90%
0.00386
0.26%
0.13197
2.79%
2128.59
0.29%
0.00445
4.22%
10.05
4.47%
0.3272
-6.22%
0.0528
4.76%
0.00827
2.73%
0.0108
1.89%
11.06
-19.68%
0.670
4.69%
0.383
2.96%
12.26
-0.57%
0.0073
0.00%
0.007400
-7.50%
3.2144
-0.85%
0.3015
16.86%
0.03098
-7.02%
0.20129
16.64%
0.5297
0.17%
0.02555
-0.16%
0.00000401
0.50%
0.00023528
-1.47%
0.012805
0.95%
0.002153
46.56%
0.00004059
-7.88%
0.5069
0.72%
0.0759
3.27%
0.0000730
-10.87%
0.0627
-9.78%
0.001005
2.34%
9.98
2.25%
0.7985
-2.43%
17.06
-1.10%
0.6273
-4.91%
0.06391
-5.81%
22.832
0.94%
0.05594
-1.62%
17.93
1.76%
0.00007709
-15.28%
0.0002839
8.94%
0.0969
2.98%
0.04174
0.41%
0.005867
15.20%
0.001686
-2.54%
0.01260
-0.24%
6.0495
24.36%
0.09793
0.61%
0.7868
-0.15%
0.0602
2.91%
1.483
3.92%
0.01684
-5.29%
0.277
5.73%
0.001515
-1.30%
0.01782
0.73%
0.7521
0.25%
0.0000508
3.89%
0.7668
0.03%
0.01363
0.44%
0.0238
-7.39%
0.000000000001664
2.15%
0.1012
4.33%
0.1324
4.25%
0.0001897
1.83%
0.001428
4.23%
0.0111
-0.89%
0.00382
-4.26%
0.01560
-6.59%
74.37
8.32%
0.00329
43.67%
0.00009335
-0.14%
0.680
3.50%
0.2020
1.41%
0.002820
-3.82%
0.01739
5.27%
0.0379
-1.30%
0.0122
-3.17%
1.3350
4.87%
0.0908
0.78%
0.00414
8.38%
0.04023
0.00%
0.0052
-21.21%
0.0102
-4.67%
0.0000089
1.14%
0.00351
0.00%
0.1999
4.17%
0.0000700
-1.69%
0.00524
-4.03%
0.02668
-4.06%
0.01284
7.18%
0.000606
-0.49%
0.3719
3.08%
0.00179
-4.28%
0.003972
11.57%
0.00215
-14.68%
0.008858
-6.60%
0.003943
-0.50%
0.0364
1.68%
0.008619
8.84%
0.1497
5.50%
0.015971
-2.77%
0.00108
-1.82%
0.00973
6.57%
0.1910
1.23%
0.00247
5.56%
0.01432
3.54%
0.0576
4.73%
0.1080
0.28%
0.00004
0.00%
0.0051023
-0.20%
0.0733
3.39%
0.003304
4.46%
0.01249
2.13%
0.00637
2.08%
0.004217
-2.00%
0.03511
12.39%
0.001736
-17.14%
0.00026
-16.13%
0.01099
2.04%
0.1200
1.95%
2.039
0.94%
0.2740
0.40%
0.5495
-0.16%
0.0000000814
-4.46%
0.829
2.73%
18.18
1.51%
0.03060
2.27%
0.0004048
2.66%
0.2015
-3.40%
0.001638
2.95%
0.002023
5.36%
0.002758
-53.25%
17.88
1.19%
0.0104
-3.70%
0.0268
2.29%
14.49
1.47%
0.000225
-11.42%
0.00478
0.84%
0.1054
2.53%
0.00715
2.88%
0.002932
-3.93%
0.000000000251
-0.40%
0.00215
-1.83%
0.1112
2.49%
0.00000001206
-0.66%
0.0073
-17.98%
0.002979
-0.83%
0.000960
0.73%
0.0181
-1.63%
0.0600
-7.69%
8.20
0.49%
0.0000000630
-3.52%
0.01737
0.46%
0.0398
6.70%
0.91
1.11%
0.004395
12.15%
0.01314
30.23%
0.000628
-1.72%
0.00000397
-1.98%
0.2641
4.30%
0.000022
-15.38%
0.00002098
35.18%
7.97
3.24%
0.00000000001720
3.24%
0.1439
-1.64%
0.0000002109
-64.94%
0.001345
4.34%
0.004130
-1.90%
0.000001603
-0.87%
0.00035000
-21.91%
0.000000105
3.96%
0.00757
11.32%
1247
0.65%
0.000263
0.00%
0.000089
0.00%
0.000000001741
-1.08%
0.00282
48.42%
0.4931
1.23%
0.1488
1.57%
0.000300
-52.83%
0.0848
0.71%
0.000250
-44.44%
0.660
1.07%
9.34
-2.30%
0.02914
-13.09%
0.2072
5.28%
0.0000000000000140
0.72%
0.1221
11.81%
2.967
0.54%
0.000000472
2.16%
0.0137
-20.81%
0.000281
12.40%
0.0107
5.94%
0.000000000718
-6.75%
5.0000
149.99%
0.3100
34.20%
0.002562
0.12%
0.00294
3.16%
0.00266
-5.00%
0.0198
9.39%
0.1427
-0.35%
0.03836
-3.03%
0.05818
-0.21%
0.0808
0.75%
0.01425
0.35%
0.000965
-8.96%
280.00
288.89%
0.013485
182.76%
0.000697
-0.43%
0.001149
10.59%
2.175
0.18%
1.282
-0.23%
0.003000
0.00%
0.01765
-2.49%
0.01302
1.24%
0.0330
4.10%
0.00598
2.93%
0.0610
-23.56%
0.784
1.42%
0.00002194
1.01%
0.01667
1.58%
0.000350
1.74%
0.00264
-2.22%
0.002194
-0.77%
0.000423
-1.63%
0.000000003500
0.00%
0.533
3.29%
0.0005863
3.44%
0.00002320
-1.11%
0.0000080
2.56%
0.000195819
-3.34%
0.003679
3.60%
0.0597
-3.71%
0.0885
3.87%
0.1930
5.12%
0.00819
1.36%
0.000514
-7.89%
0.003498
8.50%
0.3470
4.71%
0.0000121
23.47%
0.0596
-1.16%
0.01505
-8.01%
0.06052
3.61%
0.0780
4.14%
0.0515
6.40%
0.0000000029995
-9.72%
0.000000000777
-1.52%
0.005559
1.94%
0.001214
0.75%
0.048513
0.61%
0.003246
-3.36%
0.00000000000027
-6.90%
0.4991
3.70%
0.002652
-0.71%
3.445
2.53%
0.0002533
0.32%
1.481
1.16%
0.000001715
10.65%
0.3631
7.39%
0.698
0.29%
0.002256
9.09%
0.000037
-2.63%
0.002800
-0.04%
0.00274
4.18%
0.6250
0.27%
0.00000000000012
-14.29%
1.2861
4.37%
0.001518
-23.68%
0.000092
37.31%
0.0035
-52.70%
0.763
2.01%
0.00000000000173
-2.81%
0.002413
0.25%
0.0042
0.00%
0.00000008096
-1.06%
77.2
0.65%
0.000000000000817
-2.16%
0.1087
2.55%
0.01856
0.32%
0.000000000013
-50.00%
0.0000000404
-1.22%
0.05157
1.22%
0.00745
6.89%
0.000000000099
1.02%
0.0690
3.45%
0.000190
-6.86%
0.00281
7.25%
0.0000100
31.58%
0.00000000000103
-9.65%
0.0001
0.00%
0.000328
-5.20%
0.004231
0.12%
0.000000000449
-0.22%
0.000000000751
-3.10%
0.001118
1.08%
0.000000000004529
18.81%
0.0264
1.15%
0.00004
0.00%
0.002583
-3.51%
0.02389
2.49%
0.1469
3.96%
0.000000002378
-1.41%
0.420
1.20%
0.0463
-2.73%
6.249
2.12%
0.3145
6.32%
0.00000000000102
-11.30%
1899.00
-0.05%
0.0069
16.95%
0.00044
0.00%
0.000178
5.33%
0.0001543
3.00%
0.2075
3.39%
0.01885
7.35%
0.002022
1.15%
0.00013
0.00%
0.00000760
1.06%
0.05414
-2.97%
0.0229
2.23%
0.000086
3.61%
0.00070
1.45%
0.0000000142
-2.74%
0.0720
-2.83%
0.2306
1.95%
0.0137
11.38%
0.1440
2.64%
0.250432
0.00%
0.01515
3.63%
0.0000000000000168
12.75%
0.0627
-0.32%
0.00132
-0.75%
2.138
1.42%
1.1397
-0.86%
1.891
4.19%
0.4124
0.49%
7.34
0.96%
0.012521
0.02%
0.00423
-8.44%
0.0005
0.00%
0.1934
4.26%
0.00000000000883
35.64%
0.000016
-60.00%
0.00003014
-23.93%
0.000672
11.81%
0.005205
4.81%
0.1769
-1.78%
0.2097
2.59%
0.0000006
20.00%
0.000119
-0.83%
0.00000000000043
-2.27%
0.001200
0.00%
0.1093
5.60%
0.04007
5.89%
0.0226
-19.29%
0.000503
-0.20%
1.25
2.46%
0.021185
1.03%
0.00000100
7.53%
0.0490
-0.81%
0.000000000128
0.00%
0.000257
-0.39%
0.000000002001
0.00%
0.000027
-3.57%
0.01931
5.00%
0.000000100
-45.95%
0.01652
7.83%
0.0811
-0.37%
0.0000151
0.00%
0.00000687
-1.58%
0.00080
0.00%
0.00023
-14.81%
0.000000000004
0.00%
14.62
3.32%
0.000104
2.97%
0.00237
-5.95%
0.04041
6.68%
0.000279
-7.00%
0.0005
-68.75%
0.00141
-10.19%
0.004202
0.91%
0.0010
-16.67%
0.1566
6.10%
0.0047
46.88%
0.011926
0.00%
0.002127
8.19%
0.1446
4.93%
0.023020
-67.11%
0.04851
-0.16%
0.0001
0.00%
0.1191
-2.06%
0.0994
2.05%
0.001167
-0.34%
0.0423
-1.86%
0.00002805
-0.21%
0.0000057
3.64%
0.0000592
0.00%
0.8662
27.70%
0.0000245
-8.92%
0.0000050
0.00%
0.00650
0.00%
0.00148
29.82%
0.000266
0.00%
0.00001100
0.00%
0.00037
23.33%
0.4820
-5.01%
0.2921
0.97%
0.003621
-0.39%
0.00006
50.00%
0.000166
0.00%
0.00250
-13.79%
0.0006
50.00%
0.5051
-15.83%
0.0829
-2.01%
0.002264
-3.08%
0.2939
38.37%
0.000452
57.49%
3.40
4.29%
0.0384
-0.26%
0.00012268
22.62%
0.0002041
0.00%
0.2994
0.00%
0.00000000076
8.57%
0.00028
33.33%
0.0000274
-0.72%
0.00088
-5.38%
0.4400
-2.22%
50.0000
0.00%
0.03749
-0.98%
0.0587
-0.34%
0.00267
3.09%
0.0018
0.00%
0.00639
0.00%
0.0028
21.74%
0.001100
-30.95%
0.0000241
0.00%
0.0005
0.00%
0.00000000015725
-28.50%
0.02349
0.34%
0.00000000002801
10.06%
0.000445
0.00%
0.00005
0.00%
0.000093
69.09%
0.0000333
0.91%
0.00513
-5.52%
0.0000690
-1.43%
0.0000006652
-21.84%
0.0005103
4.40%
0.000000000374
0.00%
0.000187
-1.06%
0.000259
-3.72%
0.0020
-13.04%
0.0000816
0.00%
0.00000000000294
0.00%
0.00000000000426
1.91%
0.000000037
0.00%
0.0000000110
-19.71%
0.0070
-39.13%
0.001220
4.01%
0.00000000000796
0.51%
0.00000081
-2.41%
0.000000000031
0.00%
0.000449
0.00%
0.000014
-6.67%
0.00000000003475
-2.20%
0.000000000835
0.60%
0.0020
-4.76%
0.00000006
0.00%
1.335
1.52%
0.0525
8.47%
0.000793
-4.00%
0.4181
0.38%
0.000611
-0.49%
0.11313
-11.44%
0.00663
-1.34%
0.3615
-5.86%
0.000955
0.53%
0.001350
1.43%
0.2334
3.78%
58.5600
0.00%
0.00004248
-6.16%
1.3594
2.51%
0.0001450
0.00%
0.0598
-2.29%
0.000439
4.28%
0.0963
1.26%
0.000698
0.00%
0.00993
11.82%
18.145
-4.08%
0.0006421
0.00%
0.0254
0.00%
0.00600
0.00%
0.0009012
0.00%
0.00600
0.00%
0.0007993
0.00%
6.282
1.73%
0.0000496
0.00%
0.02286
-1.55%
0.0000429
0.00%
0.3989
-5.76%
0.5143
4.94%
0.02949
0.10%
0.00403
-3.36%
0.07312
0.00%
0.0707
-0.70%
0.00000293
0.34%
0.01058
12.20%
0.451
8.94%
0.1083
-2.70%
1.000000
0.00%
0.3771
0.00%
0.5732
0.00%
51.909
-1.73%
0.0559
-0.18%
2.923
0.52%
0.0001030
0.00%
0.05790
-2.08%
0.728
2.82%
0.6253
0.81%
0.0861
4.49%
0.0700
0.00%
0.001143
-0.35%
0.00004399
0.00%
0.000216
0.00%
0.532
0.57%
2.179
0.00%
1.691
-0.29%
1.5000
0.00%
3.9889
0.00%
1.1371
0.00%
0.000078
-2.50%
0.0011
0.00%
0.4424
0.00%
0.1238
3.86%
0.0388
6.59%
0.2203
-0.54%
0.0441
2.80%
0.000388
11.17%
0.9746
0.00%
0.0071
0.00%
0.599
0.00%
0.000210
0.00%
0.0753
1.21%
0.00814
1.62%
0.1864
1.08%
0.3321
1.84%
0.0272
0.00%
0.00000010913
0.00%
0.00000044
2.33%
0.1204
0.00%
2.615
-0.46%
1.071
0.19%
0.1066
2.21%
0.006000
0.00%
0.000300
0.00%
0.00042
0.00%
0.0021
0.00%
0.00035
0.00%
0.0004
0.00%
0.00033
0.00%
0.000014
0.00%
0.000365
0.00%
0.0059
0.00%
0.0000002593
0.00%
0.000009
0.00%
0.00001584
0.00%
0.0000001013
0.00%
0.000026
8.33%
0.00005
0.00%
0.00006187
0.00%
0.001405
0.00%
0.2464
-0.12%
0.000470
-3.89%
0.000902
0.00%
0.0001
0.00%
0.0009
0.00%
0.0560
0.00%
0.00012800
0.00%
0.000454
0.44%
0.004025
0.00%
0.00000000058
9.43%
9.745
-0.26%
0.0000000104
0.00%
0.000851
0.00%
0.00000000001676
0.00%
0.001000
0.00%
0.0000000039
0.00%
0.00001626
0.00%
0.0000030
0.00%
0.0000002187
-10.33%
0.000411
0.00%
0.000310
0.00%
0.3284
0.00%
0.9500
0.00%
0.0066
0.00%
0.000405
0.00%
----
0.001290
0.00%
0.00000011
0.00%
0.000758
0.00%
0.001000
0.00%
0.000054
0.00%
1.6799
0.00%
0.00000000002387
0.00%
0.00425
0.00%
0.00001
0.00%
0.00005
0.00%
0.0010
0.00%
0.001963
0.00%
0.00000055
0.00%
0.00006767
0.00%
0.0055
0.00%
0.00005458
0.00%
0.001263
0.00%
0.001349
0.00%
0.00171
0.00%
0.0199
0.00%
0.0001000
0.00%
0.05056
0.00%
1.3575
0.00%
0.00136
0.00%
0.000086
0.00%
0.00006
0.00%
0.000015
0.00%
0.000024
0.00%
0.001234
0.00%
0.0066
0.00%
0.0010
0.00%
0.0004
0.00%
0.0007
0.00%
0.0240
0.00%
0.000522
0.00%
0.0013
0.00%
0.020834
0.00%
0.4998
0.00%
0.0000111
0.00%
0.007000
0.00%
0.000363
0.00%
0.0012
0.00%
0.000792
0.00%
0.001200
0.00%
0.000331
0.00%
0.001050
0.00%
0.000383
0.00%
0.00009909
0.00%
0.01170
0.00%
0.001000
0.00%
0.0786
0.00%
0.001563
0.00%
1.6349
0.00%
0.00000000000540
0.00%
0.000028
0.00%
0.000999
0.00%
0.002935
0.00%
0.000497
0.00%
0.0200
0.00%
0.0093
0.00%
0.0006
0.00%
65.1101
0.00%
1.404
0.72%
3.7189
0.00%
0.003015
0.00%
0.00000013
0.00%
0.000082
0.00%
0.0071
-2.74%
0.016111
0.00%
4.1000
0.00%
0.0489
0.00%
0.00010977
0.00%
0.0131
0.00%
0.1078
0.00%
0.0745
0.00%
0.002461
0.00%
0.001150
0.00%
0.001100
0.00%
0.3882
0.00%
0.001000
0.00%
0.076250
0.00%
0.0150
0.00%
0.1001
0.00%
0.0036
0.00%
2.2915
0.00%
0.0000000198
1.54%
0.0004
0.00%
0.000620
0.00%
0.03000
0.00%
0.000946
0.00%
0.000000001497
0.00%
0.000119
0.00%
0.0096
0.00%
2.1322
0.00%
0.0060
0.00%
0.04500
0.00%
0.0502
0.00%
0.004189
2.27%
12.1112
0.00%
1.76670591
0.00%
0.0009
0.00%
0.000399
0.00%
0.0001403
0.00%
0.0000000000270
0.00%
0.0000002850
0.00%
0.6700
0.00%
0.00010
0.00%
0.0500
0.00%
0.00007
0.00%
0.01989
0.00%
0.00047
0.00%
0.0027
0.00%
0.0016
0.00%
0.2888
0.00%
0.00501
0.00%
0.02700
0.00%
0.0440
0.00%
0.3515
0.00%
0.00125
0.00%
0.4900
0.00%
0.000034
0.00%
0.9900
0.00%
0.5000
0.00%
0.010100
0.00%
0.88686
0.00%
0.00084
0.00%
0.0000285
0.00%
1.1760
0.00%
0.000978
0.00%
0.00910
0.00%
0.1721
0.00%
0.00010
0.00%
0.01463
0.00%
0.01324
0.61%
0.0000102
-0.97%
0.00614
0.00%
0.4606
0.00%
0.00021
0.00%
0.001800
0.00%
0.0000007
0.00%
0.000001693
3.55%
0.01200
0.00%
0.00010
0.00%
0.000001000
0.00%
0.00200
0.00%
101.25
0.00%
0.0000008
0.00%
1.3414
3.05%
0.01050
0.00%
0.00400
0.00%
0.0000146
0.00%
0.0000325
0.00%
0.00000287
0.00%
1.0000
0.00%
0.00441
-0.90%
0.34211
0.00%
0.0000077
0.00%
0.3000
0.00%
0.00162
0.00%
0.00036
0.00%
0.001277
0.00%
0.03520
0.00%
3.3999
0.00%
0.0000023
0.00%
0.000000005
0.00%
0.00638
0.00%
0.000313
0.00%
0.0000031
0.00%
0.0007240
0.00%
0.00003
0.00%
0.00000049
-5.77%
0.00098
0.00%
0.00200
0.00%
0.00000007783
0.00%
0.0032
0.00%
0.3167
0.00%
0.000495
0.00%
0.00049
0.00%
0.00014906
0.00%
0.007210
0.00%
0.00635
0.00%
0.0900
0.00%
0.000000000008
0.00%
0.000506
0.00%
0.01030
0.00%
0.017874
0.00%
0.00269
0.00%
0.004004
0.00%
0.000309
0.00%
0.0000269
0.00%
0.0000996
0.00%
0.0000000500
0.00%
0.0000001300
0.00%
0.000107
0.00%
0.7997
0.00%
0.000426832
0.00%
0.000000425
0.00%
0.00911
0.00%
0.1600
0.00%
0.1197
0.00%
0.00052
0.00%
0.0030886
0.00%
20.3888
0.00%
0.000510
0.00%
0.00218
0.00%
0.002700
0.00%
0.0001245
0.00%
0.000055
0.00%
0.0000450
0.00%
0.0009508
0.00%
1.4371
0.00%
0.0002109
0.00%
0.002003
0.00%
0.2070
0.00%
0.3668
0.00%
0.250
0.00%
0.3767
3.38%
0.001106
0.00%
0.0249
0.00%
0.6608
0.00%
0.5403
0.60%
0.00500
0.00%
3.79
0.00%
0.01123
0.00%
0.0020
0.00%
0.00538
0.00%
0.5187
2.39%
0.000000001841
0.00%
4522.00
0.00%
0.0091
0.00%
0.0355
2.01%
0.425
1.19%