Keccak

來源: LBank時間: 2024-09-17 01:01:29

Keccak,發音爲“ketchak”,是一項由Guido Bertoni、Joan Daemen、Michaël Peeters和Gilles Van Assche設計的多功能密碼學工具。儘管Keccak可用於多種用途,但它最著名的角色是一種哈希函數,與SHA-1和SHA-2等較舊的哈希算法相比,它提供了更高水平的安全性。


提到SHA(Secure Hash Algorithm),這是美國國家標準與技術研究院(NIST)發佈的一系列密碼哈希函數。SHA-1和SHA-2都是美國國家安全局(NSA)設計的,它們有相似的結構。儘管Keccak支持與SHA-2相同的輸出大小(哈希長度),但它的運行機制大不相同。有趣的是,Keccak屬於SHA家族,常被稱爲SHA-3。


早在2004年,對SHA-1的理論攻擊就已經開始,並於2005年公開。到了2011年,NIST宣佈SHA-2成爲新的標準哈希函數。然而,從SHA-1過渡到SHA-2的過程相當緩慢,直到2017年初,大部分開發者和計算機科學家才轉用SHA-2。不久之後,谷歌在2017年2月宣佈成功實施了SHA-1碰撞攻擊,自此,SHA-1不再被視爲安全,其使用被勸阻。


Keccak(SHA-3)的開發始於約2007年,當時NIST宣佈了一個公開競賽和審查過程,旨在尋找一種新的加密哈希函數,以克服SHA-1和SHA-2潛在的缺陷。雖然那時還未展示出針對SHA-2的重大攻擊,但考慮到哈希函數隨時間可能被破解,以及開發新標準函數需要數年,加之對SHA-1的早期攻擊,NIST預見到了創建新密碼哈希算法的必要性。最終,在2012年,NIST宣佈Keccak贏得了比賽,將其標準化爲SHA家族的最新成員——SHA-3。


Keccak之所以被NIST選中,部分原因是它創新的結構,證明比其他算法更安全、更高效。技術上,SHA-3算法基於所謂的海綿函數(或海綿構造)——這與SHA-1和SHA-2採用的Merkle Damgård構造不同。


目前,SHA-2仍然被認爲是安全的,並被廣泛使用。例如,比特幣及其他加密貨幣就使用SHA-256,它在挖礦過程中扮演着關鍵角色。未來,隨着Keccak至今未被成功攻擊,我們可能會看到它越來越多地被採納。然而,隨着密碼學領域的發展和新漏洞的發現,未來幾年內,我們還將見證更多密碼哈希算法的誕生。

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2.75%
0.002456
-13.95%
6.17
0.82%
0.1001
0.00%
0.002615
-0.95%
0.00718
-1.64%
0.03608
-4.90%
0.2517
-0.67%
0.1268
-3.13%
0.010617
4.47%
0.00000015915
5.98%
0.00056801
17.03%
1.7668
0.28%
0.000850
0.12%
0.01225
-15.40%
0.0005739
-16.84%
0.005947
-3.66%
0.7049
-0.69%
1.523
-0.98%
0.005462
1.28%
0.02654
-0.23%
0.1249
3.91%
0.00065
0.00%
10.62
0.38%
0.0000000511
20.52%
0.004208
21.02%
7.783
1.24%
0.0002684
-10.92%
0.1850
6.20%
0.5746
-0.61%
0.003072
2.06%
0.1135
4.13%
0.000380
2.15%
0.3609
12.85%
0.05313
-4.44%
0.00028355
-0.15%
0.007335
7.38%
0.004997
-0.18%
0.04084
5.28%
0.3022
-4.82%
0.000098
22.50%
0.0409
-21.65%
0.00003938
-0.33%
0.5172
-2.45%
0.000025
-7.41%
0.001455
13.05%
0.0313
0.64%
0.0759
1.61%
0.00000452
2.49%
17.368
-0.52%
0.2798
-2.00%
0.3207
-5.51%
0.000390
1.04%
0.2145
0.56%
0.014044
7.79%
0.00094
-5.05%
7.9276
14.04%
0.1037
1.37%
18.02
0.56%
0.1503
2.04%
3.8796
4.29%
1.943
0.52%
0.01469
0.07%
0.02030
-7.98%
0.0025
4.17%
0.00189
-0.53%
0.00852
0.95%
0.01843
-4.71%
0.000000001497
0.00%
0.066770
0.14%
0.000802
10.62%
0.0541
1.31%
0.05882
-0.02%
0.0117
-13.33%
0.000235
-16.67%
0.004020
1.31%
0.005711
2.18%
0.001952
1.46%
0.013163
-14.01%
0.03969
-2.77%
0.0100
-2.91%
0.00240
-10.78%
0.11778
12.14%
0.1945
-5.31%
0.00000000009269
-1.13%
0.00712
2.15%
10.10
-1.75%
0.0000087
-3.33%
0.0000216
11.34%
0.3088
0.46%
0.000121
-1.63%
0.000000000254
-0.39%
0.08367
12.91%
0.00497
0.20%
0.1015
-3.52%
0.911
1.00%
0.1532
-11.39%
0.1607
1.64%
0.01274
0.87%
0.000831
-2.00%
0.003361
-4.76%
0.000541
-2.17%
0.704
0.14%
0.0066
-2.94%
0.1941
-1.37%
0.001271
-33.03%
0.00008023
0.39%
0.01599
-10.42%
0.00004158
-0.55%
8.43
-4.10%
0.001079
-14.37%
0.002656
-16.50%
0.03510
-0.23%
0.0484
0.62%
0.000700
9.03%
0.004369
-4.17%
0.000715
0.00%
0.004245
38.91%
0.0000000356
-10.10%
0.003566
-0.89%
0.00131
-25.99%
0.0002785
-0.82%
0.06865
-0.67%
0.01190
-0.34%
7.53
1.76%
0.004916
-7.42%
0.002576
1.30%
0.5710
0.18%
0.0231
-2.94%
0.0009613
19.91%
0.0947
2.16%
0.005519
4.63%
0.01320
0.00%
0.1441
1.98%
0.0004751
2.66%
0.0042
0.00%
0.2137
0.05%
0.0000501
-6.53%
0.04806
-1.05%
0.0000846
7.77%
0.03038
-3.74%
0.0000003169
0.64%
0.004496
-7.22%
0.00002402
-2.71%
0.01651
-5.98%
1.054
-7.22%
0.909
-1.41%
0.2606
11.80%
0.0000000000000183
-12.44%
0.13696
-1.20%
0.003803
-7.78%
0.0023751
0.08%
0.0937
1.85%
0.00000004112
-2.47%
7.098
-3.13%
0.284
0.00%
0.017644
-5.69%
0.9105
0.71%
0.01304
1.16%
0.8084
6.03%
0.04553
4.07%
0.000857
-13.78%
0.03295
-1.82%
0.000298
7.97%
0.000385
-16.85%
0.8969
1.51%
0.0000001488
5.98%
1.534
0.52%
0.05026
2.59%
0.000216429
-15.44%
0.0986
7.52%
0.1728
2.67%
0.0002041
0.00%
14.26
5.47%
0.02908
-9.18%
1.1848666
0.22%
0.008973
-11.59%
0.0004006
1.70%
3054.31
0.32%
92.97
0.51%
0.0661
3.93%
0.0002165
-4.84%
1.4114
-0.65%
1.3314
0.93%
0.0105
-9.48%
0.002307
4.34%
0.0006952
1.12%
0.01721
17.39%
19.45
2.42%
0.0008164
-0.89%
0.01851
4.05%
0.11142
-0.28%
0.1172
-2.01%
0.1174
-1.43%
0.2600
2.00%
0.7537
-2.55%
0.03166
4.94%
0.003912
-10.87%
0.012517
0.01%
0.001210
-10.64%
0.1058
0.67%
0.6202
-0.48%
0.0344
2.08%
0.0110
0.00%
0.001875
1.79%
0.003021
-0.79%
1.4543
-1.92%
1.010
1.00%
0.003589
25.89%
0.781
-1.39%
0.00016500
46.68%
0.0031
14.81%
0.58052
-2.99%
0.4020
-2.43%
0.0000607
-0.65%
0.364
-3.19%
0.00000001321
-0.60%
0.06965
-10.51%
0.00000805
4.14%
0.0292
1.04%
0.3211
0.41%
0.03985
-0.80%
0.001261
-4.40%
0.000000492
-1.40%
0.0802
-2.79%
0.002721
-13.48%
0.1309
-1.65%
0.004237
-0.16%
0.0003899
-31.09%
0.00919
7.86%
0.0000000002074
-2.77%
0.01824
6.79%
1.6314
10.42%
0.0000000834
-0.71%
0.0000038
-9.52%
0.002824
6.29%
0.2671
-3.40%
0.4778
-5.14%
0.0822
1.36%
0.01429
14.96%
0.007600
1.25%
2198.42
-1.68%
0.0103
-4.63%
0.01873
-1.68%
22.71
-5.81%
0.2793
-3.12%
0.3015
0.17%
0.561
1.08%
6.7062
2.45%
0.0007783
-13.52%
0.2618
-3.89%
0.001140
-1.13%
0.2820
0.86%
0.0000659
-6.66%
0.0470
-0.42%
0.005346
-2.28%
0.0700
-1.13%
0.000845
-6.11%
0.0890
-0.56%
0.1499
0.54%
0.1488
0.54%
0.01687
0.60%
0.00975
-1.71%
0.005900
16.19%
2.293
-8.72%
0.003493
-0.46%
0.3542
-1.23%
0.742
1.09%
0.9745
-0.01%
0.0005724
-6.50%
0.06253
-0.90%
8.01
-4.07%
0.0572
-6.23%
0.001019
-0.20%
0.001639
-8.89%
0.7630
-0.35%
0.0597
0.51%
0.1482
-2.37%
0.632
3.61%
0.0387
0.78%
0.00626
2.29%
0.01322
0.08%
0.00270
-0.74%
0.00008997
-7.14%
1.238
4.74%
0.00010605
-28.74%
12.34
-2.06%
2.223
0.45%
0.000001660
1.16%
0.00000408
-4.67%
0.00230
0.44%
0.9071
-3.48%
18.39
0.27%
0.05738
-4.59%
0.0100
-1.96%
0.00325
-27.78%
0.01823
-0.22%
0.003831
-12.81%
0.00001381
-2.33%
0.1994
0.55%
0.001208
-5.25%
0.1660
-4.32%
0.004307
2.16%
0.0000089
15.58%
0.000000101
-5.61%
0.637
0.95%
0.00005892
-6.33%
0.00000008442
8.00%
0.687
0.44%
0.001750
-10.90%
15.81
2.86%
0.00257
1.18%
3.522
0.26%
0.003511
4.18%
0.005657
7.47%
0.001050
-0.28%
0.01725
-5.32%
0.0051056
-0.14%
0.00000000001482
13.22%
18.31
-2.29%
0.001841
-9.13%
0.02512
-4.52%
0.2852
-0.07%
0.2224
-1.55%
0.00770
-1.53%
0.0361
0.84%
0.0000000620
-2.67%
0.0568
-9.12%
0.01307
-0.23%
18.20
-0.87%
0.006945
-13.57%
166.79
-3.28%
0.00000724
0.98%
0.002008
0.00%
0.00002419
-2.18%
0.000002022
3.37%
0.003564
7.64%
1.426
-0.49%
14.76
-0.61%
0.00004411
11.67%
0.00022505
0.02%
31.18
0.71%
0.0782
1.69%
0.01813
-1.73%
0.3712
7.13%
0.3991
3.66%
0.000001680
3.07%
0.7000
16.67%
0.002755
-7.11%
0.00776
-14.82%
0.00009370
-0.53%
0.002706
-0.48%
0.00649
-0.15%
0.1533
1.05%
0.1161
-0.26%
0.00000000000026
-33.33%
0.002060
1.78%
0.001309
0.00%
0.001111
-0.71%
0.0000644
0.16%
0.2162
0.23%
0.8439
0.00%
0.0003892
-1.52%
0.0122
9.91%
0.0087
22.54%
0.3917
0.85%
0.1906
-0.52%
0.000159
1.92%
0.0027
-50.91%
0.550
-8.18%
0.0190
-1.04%
0.02145
9.66%
0.00003
50.00%
0.000085
3.66%
0.013000
4.52%
0.1943
-0.26%
0.727
1.68%
2.326
3.01%
0.0965
-0.41%
0.00000001652
-0.60%
0.0182
0.00%
0.006336
-7.29%
0.02752
-3.47%
0.00815
-8.84%
0.01292
0.39%
0.0621
-6.48%
0.0365
1.96%
0.005433
2.05%
0.00000000001080
18.42%
0.425
-0.93%
0.20496
5.03%
0.01720
-7.48%
0.000000008400
140.00%
0.00000000015692
-0.26%
0.000000001895
-6.33%
0.1410
0.79%
0.0000491
-7.18%
0.809
-0.37%
0.2338
-2.62%
2.213
0.36%
0.001161
0.78%
1269
-0.31%
0.0873
0.11%
0.0788
0.38%
0.0820
0.61%
0.00127
-0.78%
0.0470
-7.30%
0.01698
9.62%
0.1359
-2.16%
0.01475
0.34%
0.00129
-7.19%
0.0397
1.02%
0.0000002165
0.70%
0.00896
-2.08%
0.000418
-12.00%
0.00000000000180
-26.23%
0.013600
0.44%
0.01768
4.49%
0.0003220
0.00%
0.5690
-26.44%
0.001909
-11.13%
0.6129
0.96%
3.50
-3.05%
2.230
-1.15%
0.020595
-1.96%
0.01046
-8.25%
500.00
19.05%
0.02796
-0.75%
0.4374
13.91%
0.0121
-3.20%
0.00000409
30.67%
0.000043
26.47%
0.01650
0.49%
0.1318
0.53%
0.0006853
-0.25%
0.2113
0.28%
0.0000000036990
23.26%
0.000118
-0.84%
0.05578
5.15%
0.032925
-4.69%
0.00000000001833
-44.29%
0.00462
-5.13%
0.000094
64.91%
0.230000
91.67%
0.0390
-1.52%
0.00549
-1.96%
79.0
-0.88%
0.0125
-3.10%
0.2997
-2.60%
0.1183
0.00%
0.01996
0.05%
0.002335
4.33%
0.0677
2.42%
6.583
0.69%
0.000000000091
250.00%
0.0170
0.00%
0.00240
-8.40%
0.0002510
0.48%
0.00000000003503
-11.02%
0.00878
0.00%
2.122
-1.03%
0.06115
0.53%
0.0001
0.00%
0.000000000801
4.71%
0.023455
-8.26%
101.67
1.67%
0.00421
0.00%
0.0000019
11.76%
0.00000015700
43.87%
0.000000000004
-20.00%
0.2293
2.92%
6.9451
-7.56%
0.008231
-53.95%
0.000000000003830
0.26%
0.000400
-25.93%
0.5382
-0.02%
9.770
0.00%
0.0000109
-6.03%
0.00000000000652
0.15%
0.000912
1.67%
0.000110
-5.17%
0.000389
0.52%
0.00681
1.79%
0.687
1.33%
1.397
0.50%
0.0057
-27.85%
0.005702
-4.87%
0.000000000000955
1.60%
0.0065
-32.29%
0.004043
-11.10%
0.6552
2.54%
0.00004896
4.44%
0.4788
-1.14%
0.03002
-0.07%
1.935
0.89%
0.000025
-3.85%
0.00000000000377
4.43%
0.0088
1.15%
0.0000000000000159
-3.64%
0.0000307
10.83%
0.001321
-2.65%
0.05812
-0.09%
0.000068
-22.73%
0.0002402
0.04%
0.4788
-0.19%
0.022500
-3.92%
0.0981
0.10%
0.000072
30.91%
0.0000066
-27.47%
0.00146
-16.57%
0.00036
-10.00%
0.002738
-9.40%
0.1078
-1.55%
0.00002269
1.29%
0.00000000000014
16.67%
0.000000000724
-0.96%
0.000000000001711
-1.44%
0.00000000000286
0.35%
0.00000000000122
16.19%
23.733
-0.13%
1.718
-0.29%
0.476
4.85%
0.000196
0.51%
0.00793
-6.92%
0.0000066
17.86%
0.00003
0.00%
0.000000100
0.00%
0.3801
1.04%
0.01649
-1.73%
0.00000926
-15.82%
0.0000249
0.40%
0.000000000833
5.71%
0.00007
-41.67%
0.000000000106
-2.75%
0.02525
0.56%
0.0915
36.57%
0.002579
-0.15%
0.0536
0.00%
0.003472
0.23%
5155.00
14.00%
0.03455
-3.71%
0.0001450
0.00%
0.2280
0.48%
0.00023846
-1.82%
0.00000059
1.72%
0.02821
2.14%
0.0005142
8.14%
0.0445
0.00%
0.002411
3.17%
0.003021
7.55%
0.000448
3.70%
0.5265
0.00%
0.001790
-35.05%
0.0005
0.00%
0.000000001957
-7.16%
0.829
-0.60%
0.00027
0.00%
0.00011
10.00%
0.001801
-38.64%
0.0005329
-8.12%
0.0000003963
50.00%
0.000044
33.33%
0.1217
-0.25%
0.1347
-2.32%
0.00032
14.29%
0.0000000153
1.32%
0.0000312
41.82%
0.01139
-0.52%
0.0822
8.59%
0.0963
-1.53%
0.000058
16.00%
0.05341
-0.39%
0.0015
7.14%
0.00171
2.40%
0.000310
0.32%
0.0000084
-11.58%
0.004017
-1.57%
1.105
1.75%
0.0064
8.47%
0.001210
-10.30%
0.0000680
-1.31%
0.0064
-1.54%
0.004324
0.68%
0.0012
20.00%
0.0006556
-2.53%
0.496
-2.94%
0.03778
-0.11%
0.4552
4.62%
0.0006801
3.97%
0.0004
0.00%
0.0009
0.00%
0.00390
34.02%
0.0498
-2.73%
0.0017
-5.56%
0.2196
-1.48%
0.00007
0.00%
0.1453
-1.49%
0.000423
-0.94%
0.000000750
54.00%
50.0000
0.00%
0.00000000000040
2.56%
0.00000000058
3.57%
0.1120
0.54%
0.0000061
1.67%
0.000000000535
0.00%
0.000446
0.22%
0.000000000682
-0.87%
0.00614
0.00%
0.000561
1.08%
0.03935
2.31%
0.01595
0.00%
0.00000323
0.00%
0.0012
9.09%
0.00004399
-0.02%
0.00103
17.05%
0.0000329
0.00%
0.0000000000270
0.00%
0.000009
0.00%
0.0007000
-3.31%
0.0005445
5.01%
0.0000397
11.83%
3.053
-1.17%
0.000191769
-1.82%
0.3348
1.52%
0.000685
-17.67%
0.0000822
-1.20%
0.1018
-0.39%
0.00000000075
-1.32%
0.0000029
-3.33%
0.00056
7.69%
0.00119
21.43%
0.000307
27.39%
0.00000000000102
4.08%
0.0065
1.56%
0.000018
0.00%
0.0653
-3.55%
0.0000007
40.00%
0.00006
0.00%
0.0789
-0.88%
1.2680
3.75%
0.01686
-0.65%
0.10428
-2.41%
0.3821
-1.01%
0.00015
7.14%
0.7431
-2.03%
0.001129
-2.34%
0.001011
4.23%
58.5600
0.00%
0.0004058
-6.76%
0.02949
-2.12%
0.0254
0.00%
0.003910
5.05%
0.00371
0.00%
0.0009012
0.00%
0.0004412
-4.30%
0.00600
0.00%
0.002188
10.28%
0.0007993
0.00%
6.085
-0.47%
0.2229
1.97%
0.000029
3.57%
0.03527
-10.46%
0.001783
9.59%
0.000014
0.00%
3.0841
-5.27%
0.02373
0.42%
0.003863
-5.55%
0.7859
-1.81%
1899.00
0.00%
1.54
0.00%
0.01275
-5.76%
0.1532
-11.90%
0.0457
2.70%
0.001363
3.81%
0.03140
-0.29%
0.00403
1.51%
0.01204
0.58%
0.2143
5.83%
2.5129
0.00%
0.453
0.67%
1.000000
0.00%
0.3771
0.00%
0.5732
0.00%
50.135
-1.50%
3.050
0.36%
0.0583
-1.35%
0.0001030
0.00%
0.6380
0.46%
0.0871
-0.11%
0.0700
0.00%
0.001159
1.58%
0.00000083
-8.79%
0.01917
-2.34%
0.1958
1.82%
0.000216
0.00%
0.550
1.85%
2.179
0.00%
1.5000
0.00%
3.9889
0.00%
1.1371
0.00%
0.000085
7.59%
0.4424
0.00%
0.0071
0.00%
0.000210
0.00%
0.0269
0.37%
0.1779
-3.26%
8.23
-0.96%
0.000452
0.00%
0.0272
0.00%
0.000000002490
5.06%
0.00000043
-2.27%
0.1204
0.00%
2.646
0.34%
0.006000
0.00%
0.000300
0.00%
0.00013
0.00%
0.00035
0.00%
0.000000038
2.70%
0.0004
0.00%
0.00033
0.00%
0.011926
0.00%
0.0000154
0.00%
0.000014
0.00%
0.001100
0.00%
0.000365
0.00%
0.001201
0.00%
0.0000002593
0.00%
0.00001584
0.00%
0.0000001013
0.00%
0.00035000
0.00%
0.000024
-4.00%
0.00005
0.00%
0.00006187
0.00%
0.000166
0.00%
0.000000000011
0.00%
0.001405
0.00%
0.2457
-0.53%
0.000458
-5.57%
0.000902
0.00%
0.0247
-1.98%
0.0001
0.00%
0.0009
0.00%
0.0560
0.00%
0.00012800
0.00%
0.000454
-0.22%
0.004025
0.00%
0.0122
4.27%
0.00000100
0.00%
0.0000000104
0.00%
0.00000006
0.00%
0.00000000001676
0.00%
0.001000
0.00%
0.0000000053
0.00%
0.0000000039
0.00%
0.00001626
0.00%
0.000000000374
0.00%
0.00025
-3.85%
0.000310
0.00%
0.3284
0.00%
0.9500
0.00%
0.0020
0.00%
0.000405
0.00%
----
0.001290
0.00%
0.00000011
0.00%
0.0000006653
0.42%
0.000758
0.00%
0.001000
0.00%
1.6799
0.00%
0.0927
0.00%
0.00000000002387
0.00%
0.00425
0.00%
0.00001
0.00%
0.00004
0.00%
0.0010
0.00%
0.00037
0.00%
0.001963
0.00%
0.00000055
0.00%
0.2994
0.00%
0.00006767
0.00%
0.00005458
0.00%
0.001263
0.00%
0.0072
0.00%
0.0001000
0.00%
0.05056
0.00%
1.3575
0.00%
0.00136
0.00%
0.000086
0.00%
0.000033
0.00%
0.000038
0.00%
0.001234
0.00%
0.000449
0.00%
0.0066
0.00%
0.0004
0.00%
0.0007
0.00%
0.0240
0.00%
0.000522
0.00%
0.020562
0.00%
0.4998
0.00%
0.0000111
0.00%
0.00000145
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%
1.1071
0.00%
0.000383
0.00%
4.0009
0.00%
0.001000
0.00%
0.0437
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%
0.000350
0.00%
0.0200
0.00%
0.0093
0.00%
0.0006
0.00%
65.1101
0.00%
3.7189
0.00%
0.003015
0.00%
0.00000012
0.00%
0.000082
0.00%
0.0072
1.41%
0.016111
0.00%
4.1000
0.00%
0.0489
0.00%
0.0131
0.00%
0.0006
0.00%
4.4022
0.00%
0.0745
0.00%
0.002461
0.00%
0.001160
0.00%
0.001100
0.00%
0.3882
0.00%
0.001000
0.00%
0.076250
0.00%
0.0150
0.00%
0.002393
0.00%
0.0036
0.00%
0.001942
0.00%
0.1769
0.00%
2.2915
0.00%
0.0000000189
-2.07%
0.0004
0.00%
0.000257
0.00%
0.000620
0.00%
0.03000
0.00%
0.000946
0.00%
0.4820
0.00%
0.0490
0.00%
0.0096
0.00%
0.0060
0.00%
0.04500
0.00%
0.000259
0.00%
0.0502
0.00%
0.004068
1.22%
12.1000
0.00%
1.76670591
0.00%
0.0024
0.00%
0.000399
0.00%
0.0001403
0.00%
0.0000002850
0.00%
0.6700
0.00%
0.0086
0.00%
0.01989
0.00%
0.00047
0.00%
0.0026
0.00%
0.0009
0.00%
0.2888
0.00%
0.00501
0.00%
0.02700
0.00%
0.00315
0.00%
0.0650
0.00%
0.3515
0.00%
0.00125
0.00%
0.4900
0.00%
0.9900
0.00%
0.5000
0.00%
0.010100
0.00%
0.0069
0.00%
0.88686
0.00%
0.00084
0.00%
0.0000285
0.00%
1.1760
0.00%
0.00689
0.00%
0.1725
0.00%
0.00010
0.00%
0.01463
0.00%
0.04851
0.00%
0.4606
0.00%
0.00021
0.00%
0.001800
0.00%
0.0000007
0.00%
0.000001547
0.00%
0.01200
0.00%
0.00010
0.00%
0.000001000
0.00%
0.00250
0.00%
0.0000008
0.00%
1.3115
0.38%
0.01050
0.00%
0.0000325
0.00%
0.018686
0.00%
1.0000
0.00%
0.34211
0.00%
0.00132
0.00%
0.0000077
0.00%
0.0005
0.00%
0.1495
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%
0.000514
0.00%
0.001987
0.00%
0.00080
0.00%
0.000313
0.00%
0.0000029
0.00%
0.00200
0.00%
0.00000007783
0.00%
0.0032
0.00%
0.3131
0.00%
0.000495
0.00%
0.00049
0.00%
0.300
0.00%
0.00017800
0.00%
0.007210
0.00%
0.00635
0.00%
0.0900
0.00%
0.00006
0.00%
0.000000000009
0.00%
0.000506
0.00%
0.01030
0.00%
0.0489
0.00%
0.00070
0.00%
0.003000
0.00%
0.0000269
0.00%
0.0000000500
0.00%
0.0000001300
0.00%
0.7997
0.00%
0.0001543
0.00%
0.000000000128
0.00%
0.000426832
0.00%
0.00002805
0.00%
0.1600
0.00%
0.0000245
0.00%
0.000056
0.00%
0.1197
0.00%
20.3888
0.00%
0.000510
0.00%
0.00218
0.00%
0.002100
0.00%
0.00240
0.00%
0.3101
0.00%
0.0000305
0.00%
0.00639
0.00%
0.4400
0.00%
1.4371
0.00%
0.000196
1.55%
0.0000274
0.00%
0.00865
0.00%
0.3668
0.00%
0.250
0.00%
0.4296
0.44%
0.3913
0.13%
0.001106
0.00%
0.0249
0.00%
0.6608
0.00%
0.0607
-0.49%
0.00500
0.00%
3.79
0.00%
0.01168
0.69%
0.0020
0.00%
0.00538
0.00%
0.000000001869
0.00%
1.537
-0.13%
0.0091
0.00%