🕵️ 區塊鏈隱私與身份(zk-DID)

來源: LBank時間: 2025-03-19 01:47:24

區塊鏈隱私與身份(zk-DID)

區塊鏈技術的出現徹底改變了各個行業,提供了增強透明度和安全性的去中心化解決方案。在這些創新中,基於區塊鏈的身份管理系統正逐漸受到重視,特別是那些利用零知識(zk)證明的系統。本文深入探討**零知識去中心化標識符(zk-DID)**的概念,探索其機制、優勢、應用、挑戰和未來方向。

理解 zk-DID

在其核心,zk-DID 將 zk-SNARKs(零知識簡潔非互動性知識論證)整合到去中心化標識符系統中。這種整合使得用戶能夠控制自己的身份,同時確保數字交互中的隱私和安全。

zk-DID 的主要特徵

1. 隱私增強

zk-DID 最顯著的優勢之一是能夠保護用戶身份免受第三方曝光。通過利用零知識證明,用戶可以進行交易或交互,而無需透露敏感個人信息。

2. 去中心化架構

zk-DIDs 的去中心化特性減少了對中央權威機構進行身份驗證和管理的依賴。這種架構不僅增強了數據主權,也減輕了傳統身份系統中常見的單點故障風險。

3. 零知識證明

zk-DIDs 的標誌性特徵是使用像 zk-SNARKs 這樣的零知識證明,使個體能夠在不透露實際數據背後事實的情況下證明某些關於他們身份的信息。例如,用戶可以證明他們超過某個年齡,而無需透露具體出生日期。

4. 可擴展性

This innovative approach leverages advanced cryptographic techniques that enable efficient processing and scalability—making it suitable for large-scale applications across various industries.

5. 安全性

The robust security framework provided by zk-SNARKs ensures strong protection against identity theft and unauthorized access to personal data—critical factors as cyber threats continue to evolve.

zk-DID 的應用

The versatility and robustness offered by zk-DIDs make them applicable across numerous sectors:

1. 身份驗證

Zk-DIDs can significantly enhance processes requiring secure identity verification such as financial services where KYC (Know Your Customer) regulations apply; healthcare where patient confidentiality is paramount; and social media platforms aiming to prevent impersonation or fraud.

2. 去中心化金融 (DeFi)

This technology bolsters privacy within DeFi transactions by ensuring user anonymity while still allowing for compliance with necessary regulations—a delicate balance crucial for fostering trust in these emerging financial ecosystems.

3. 供應鏈管理

Zk-DIDs can be utilized in supply chain management systems to verify product authenticity and origin without exposing sensitive business information or trade secrets—enhancing both transparency and trust among stakeholders involved in the supply chain process.

Tackling Challenges Ahead

While promising substantial advancements in privacy-centric identity management solutions through blockchain technology, several challenges remain:

1. 互操作性 < p > 確保與現有遺留系統無縫集成仍然是一項關鍵障礙,以促進廣泛採用。< / p > < h ̶ ̶ > < h > < h > < h = " " > < p > < / p > < h = " " > < p > < / p > < h = " " >

技術研習
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39.54%
0.000000560
-2.10%
0.003779
2.16%
0.1197
1.01%
0.001824
-6.08%
0.00139
-1.42%
0.02144
12.02%
0.0093
-2.11%
0.13070
1.24%
0.005623
3.27%
18.04
-2.33%
0.0889
0.00%
0.5223
0.00%
0.00302
-1.31%
0.03992
56.67%
0.00003939
0.03%
0.0000618
-14.05%
0.03732
2.89%
0.01480
30.05%
0.00001277
-5.69%
0.0613
-1.76%
0.6371
1.58%
0.004446
-3.35%
6.18
-0.32%
25.32
14.00%
0.006192
0.88%
1.397
1.45%
0.1148
4.27%
0.2378
-5.26%
0.9899
1.58%
0.1996
0.05%
0.00000016147
0.20%
0.000851
0.35%
0.3112
2.71%
335.7
0.75%
0.357
-2.46%
0.000119
0.00%
0.00722
0.56%
0.003877
17.66%
0.01837
2.51%
0.001596
40.62%
1.6105
-33.78%
0.1819
-4.26%
10.739
33.54%
10.62
0.00%
0.001506
-7.32%
1.7629
-0.51%
0.00029882
5.37%
0.6953
-1.53%
0.00363
45.20%
0.00000000009555
3.25%
0.25620
-4.99%
2.949
0.41%
0.647
2.05%
0.4383
3.64%
0.0002401
-9.36%
0.004943
-0.82%
0.00364737
0.87%
0.000283
-8.41%
0.002047
23.16%
0.00484
3.20%
0.00875
-5.61%
0.002800
-8.62%
0.04858
0.14%
0.000369
-1.86%
0.000745
4.93%
0.001937
82.22%
0.02343
-2.62%
0.3178
-0.59%
0.1500
-0.40%
0.000376
-4.57%
0.00010365
9.89%
0.00833
-15.69%
0.06075
-3.22%
0.020532
5.13%
0.0590
22.66%
0.01067
-16.71%
1.023
-2.85%
0.6417
-21.72%
0.01464
-0.20%
0.7438
-7.06%
0.1098
0.92%
0.00004078
1.34%
6.120
-0.13%
0.0002868
-0.59%
0.000209802
-1.11%
0.000000001497
0.00%
0.001055
-9.52%
0.00000466
-6.80%
0.002486
-5.90%
0.000718
-9.46%
0.00806
-5.40%
0.000240
-2.44%
0.4347
8.92%
0.03949
-5.62%
0.000102
6.25%
44.48
0.16%
5.890
-2.13%
0.02592
-8.99%
0.01800
1.12%
17.348
-0.88%
2.207
0.27%
0.1523
1.20%
0.1420
-6.58%
0.63393
8.72%
0.00006644
1.05%
5.39
-1.82%
0.0686
-2.83%
0.5183
-3.28%
0.001025
-7.24%
0.0000214
0.00%
0.001417
-12.85%
0.1209
-4.28%
31.21
1.63%
0.00009726
15.79%
0.002070
-11.50%
0.0097
-20.49%
0.001614
1.57%
0.0937
0.11%
0.012983
-0.58%
0.00500
0.60%
0.000001648
-2.20%
0.00000003809
-2.08%
0.000629
-8.31%
0.891
-0.67%
0.005966
-22.61%
0.2511
-0.24%
0.05901
-6.39%
0.5829
1.50%
1.1796
-0.08%
0.04959
3.14%
3075.37
0.39%
0.000389
18.24%
0.2669
-15.91%
1.5027
-0.58%
0.07772
6.44%
0.0003198
-8.39%
0.0000046
17.95%
5.716
-2.44%
0.0058
-12.12%
0.00096
2.13%
0.009354
-2.81%
0.1795
-7.47%
0.3509
-2.12%
0.004642
-25.73%
0.000000000248
-2.36%
0.06315
-1.86%
0.01191
-0.08%
7.72
-3.14%
0.2148
-1.15%
7.6559
-5.24%
0.1388
0.87%
0.004817
12.84%
0.0479
-0.83%
0.00136
7.94%
1.2906
-4.53%
0.2580
-7.53%
0.721
0.14%
2.400
-0.33%
0.551
-1.96%
0.002039
-8.93%
0.02076
-4.86%
0.85436
0.00%
0.0042
0.00%
1.044
2.15%
0.0403
4.40%
0.3355
9.57%
0.002810
1.37%
0.02651
-5.59%
0.3985
-10.49%
166.78
0.22%
0.00262
2.34%
0.003881
6.97%
0.1207
4.41%
0.00618
-0.64%
1.986
1.27%
0.2083
-2.80%
0.01860
2.82%
0.03696
-8.17%
0.020541
-8.71%
0.05360
19.11%
0.002303
-11.80%
0.3419
-4.01%
0.5426
-4.30%
0.0235
1.29%
1.5631
-4.01%
0.01045
-20.41%
0.1078
-2.71%
0.00000001315
-1.42%
0.0005509
-6.60%
6.4818
62.01%
0.0000003072
-4.00%
0.001282
-4.40%
0.03939
-3.27%
2.365
-2.07%
0.00003134
1.85%
0.280
-0.71%
0.03433
-3.05%
0.002924
-13.92%
0.003169
-0.63%
0.00002883
8.55%
0.6032
-5.28%
0.004717
-4.53%
0.0000000790
-3.19%
0.003915
-6.87%
9.786
0.16%
0.000870
1.99%
0.006889
44.48%
0.0006617
-0.62%
0.00016984
-15.08%
0.0274
-8.97%
0.00714
0.14%
0.777
1.17%
0.012978
0.67%
0.000002570
-10.45%
0.1445
0.00%
0.19680
-3.45%
0.0113
-4.24%
0.2120
-1.07%
0.006092
-8.75%
0.000642
9.74%
0.01450
-15.16%
0.673
-2.18%
0.008500
8.97%
6.5090
-3.22%
0.012770
-1.77%
0.6379
-2.48%
0.001151
1.77%
1.378
-1.78%
0.05451
4.97%
0.01479
3.28%
0.001839
0.99%
0.03135
0.06%
0.019094
7.42%
0.2827
-1.64%
0.1044
-0.38%
0.0030
-3.23%
0.01389
-17.12%
0.4712
-2.34%
0.002966
0.00%
0.00103
-13.45%
0.0005156
-8.84%
0.0000509
4.30%
0.002009
-13.14%
0.0809
-0.61%
0.1007
-0.79%
0.0108
1.89%
0.07669
-2.70%
0.003999
-0.50%
0.13434
-1.39%
0.02228
-21.13%
0.428
0.94%
0.0776
-3.48%
0.00005016
1.09%
3.0224
-2.16%
0.0007290
-4.69%
7.012
-1.17%
0.03024
-7.66%
0.001526
-7.46%
0.00000813
1.25%
0.011992
-4.22%
0.0000745
13.05%
0.1924
-0.82%
0.00000001565
3.23%
0.04440
-25.90%
0.0004480
6.01%
0.03457
-4.69%
0.0464
-0.43%
0.2219
-0.80%
0.2999
-0.27%
0.00000021520
-30.58%
0.00005507
-4.43%
0.003404
-1.62%
0.625
0.00%
2.322
-0.81%
0.00960
6.55%
0.0002842
-0.32%
2190.46
-0.36%
0.002220
8.56%
0.0000521
6.98%
1347
6.31%
0.01706
-14.44%
0.00421
0.24%
0.01811
-3.77%
0.000001664
-0.89%
0.1472
-0.88%
0.0007500
-20.06%
0.825
-0.12%
19.20
-1.54%
0.7622
-0.13%
0.004263
-0.35%
0.1588
-2.58%
0.1009
-2.51%
0.000349
-9.59%
0.000933
-11.90%
0.7620
-0.09%
0.930
1.64%
0.007188
-1.76%
23.594
-1.31%
0.000000513
-1.16%
0.02983
0.44%
0.2780
-1.21%
0.03000
0.00%
0.11723
5.21%
0.00002467
-4.64%
0.1034
-1.62%
0.004435
-12.20%
76.8
-2.04%
0.004399
-3.11%
0.0002212
-24.69%
0.0000000000000158
-11.73%
2.239
3.71%
0.002468
4.09%
0.01242
-5.91%
0.0098
-2.00%
0.0000086
-6.52%
3.484
-1.58%
0.002107
0.52%
0.2767
3.05%
0.01852
-6.13%
0.7419
-3.17%
0.2138
-0.74%
0.0051037
0.05%
25.0000
-0.44%
0.01556
-16.16%
0.1106
-1.43%
0.0360
-0.83%
0.000022
-8.33%
0.2226
-0.45%
0.0001532
-24.90%
0.0004851
21.88%
0.0099
2.06%
0.0000699
145.26%
0.0546
1.11%
0.0000002725
-31.24%
12.32
-0.32%
0.003922
-18.95%
0.489
1.03%
0.3339
0.15%
0.002920
-6.68%
1.4485
1.00%
0.000001970
-12.17%
0.00000000108
42.11%
0.003513
2.69%
0.00803
6.92%
0.0000266
-1.12%
0.2103
-0.76%
0.03850
-13.42%
0.0000000002102
0.91%
0.001951
-1.51%
0.0000763
9.00%
0.0008144
-7.83%
0.915
1.33%
0.0065104
-32.18%
0.003438
-0.92%
0.0580
-0.51%
0.03918
-9.39%
1.269
0.32%
0.0770
0.65%
0.01477
2.07%
0.0001786
114.66%
0.02679
0.68%
0.05702
0.04%
0.2848
-4.62%
0.05821
-1.69%
0.002473
3.34%
0.001289
-27.83%
3.40
-3.13%
0.001904
0.79%
0.000000000598
-3.55%
17.57
-1.01%
0.1759
-0.73%
0.0765
0.00%
0.000000000000899
-4.56%
0.000000001819
-4.51%
0.1113
-5.68%
0.000000000685
-4.60%
0.0006347
-2.43%
0.0483
0.21%
0.001300
-4.69%
0.0000086
-3.37%
0.004971
-10.53%
0.3630
-2.97%
6.4965
-7.13%
0.005149
-6.59%
0.003912
0.00%
0.00120
-0.83%
0.1094
-1.80%
0.1705
-2.24%
0.0382
50.39%
0.001172
-2.66%
0.09000
-21.62%
0.00010610
-0.01%
0.00000000015505
-1.19%
0.0257
-3.38%
0.032747
-4.71%
0.00009300
-27.34%
0.02782
0.54%
0.00000000001518
-11.44%
0.1523
-4.03%
0.0000000626
0.48%
0.0004086
5.66%
18.12
-0.71%
0.0168
-1.18%
0.00533
-1.11%
0.0000000522
-0.76%
0.00003
0.00%
0.000000002050
2.81%
0.0111
0.91%
0.02508
-0.48%
0.0004
-33.33%
15.09
-2.83%
0.001336
-3.05%
0.0022773
-5.38%
0.01285
-1.83%
0.937
-12.67%
0.000030
3.45%
0.013605
0.05%
0.0063
0.00%
0.0667
-4.03%
0.9177
-0.26%
0.00000724
0.00%
0.659
-3.37%
0.000107
-1.83%
0.000261
61.11%
0.006146
1.65%
0.000000000001765
-0.84%
0.0007593
-6.05%
0.00910
-0.55%
0.0195
2.09%
0.0000018
-10.00%
0.000504
44.00%
0.002701
0.04%
0.00000394
-2.96%
0.000261
-14.98%
0.0006790
-2.89%
0.0934
-3.51%
0.00725
-1.09%
0.0967
22.25%
0.0000000030204
-29.16%
0.0002382
-3.17%
0.000012
-60.00%
0.00306
0.00%
0.0000000171
14.77%
0.0919
-3.67%
0.00000000001162
-5.22%
0.00006107
-37.58%
0.01684
-0.82%
0.008231
0.00%
0.001032
-0.77%
0.803
-0.12%
0.04024
2.26%
0.0000235
0.00%
0.01114
-12.35%
0.000000000003
-25.00%
0.00000000000018
-30.77%
0.01303
9.22%
0.1433
-5.60%
8.12
-1.34%
0.00000926
0.00%
0.0114
-0.87%
0.2591
-3.25%
1.527
-1.10%
0.00869
-6.16%
0.00685
-20.81%
0.00237
-15.96%
0.0436
-0.91%
0.3759
-2.57%
83.67
-8.99%
0.05024
-4.09%
2.50
96.85%
0.1278
-1.39%
0.000716
-13.73%
0.000786
-5.19%
0.002013
0.00%
0.0338
-2.03%
0.0000013
85.71%
0.01323
-0.82%
0.01081
-2.70%
0.0048
-26.15%
0.0000243
-0.82%
0.0987
0.92%
0.000835
-0.95%
0.0000651
0.15%
0.05851
-0.37%
0.169000
-26.52%
0.249
-17.00%
0.0569
-2.23%
0.004220
0.57%
0.1168
-0.93%
0.1337
-1.18%
0.1286
-1.91%
18.57
0.81%
0.3886
-1.47%
0.000850
-8.01%
0.000090
5.88%
0.00003
-50.00%
0.003590
-12.91%
450.00
80.00%
0.00647
0.00%
0.0099
11.24%
0.05804
-0.14%
0.0000119
-15.00%
0.03326
4.04%
0.02940
-1.44%
0.00014
0.00%
0.01050
0.00%
1.485
-2.11%
0.01670
-1.71%
0.0018
5.88%
0.000025
-3.85%
1.670
-2.85%
0.00027
0.00%
0.001420
-13.99%
0.0002201
-8.37%
0.00093
-27.91%
0.000190
-5.94%
0.02048
1.69%
0.002335
-4.93%
0.03745
-0.87%
0.00000000000103
7.29%
0.000000000003846
-15.08%
0.00000000000212
19.77%
0.0515
-3.20%
0.00000000000012
0.00%
0.731
-1.22%
0.002234
-9.77%
0.0942
-2.48%
0.000037
-17.78%
0.0000061
0.00%
0.000001624
-3.22%
0.0866
-0.12%
0.1288
-13.85%
0.00000054
-3.57%
0.00002265
0.31%
0.01286
-1.08%
0.00036
0.00%
0.0000000000000158
-2.47%
0.000025
78.57%
0.0122
-3.94%
0.000076
-10.59%
0.0591
1.90%
0.0390
-1.52%
0.0810
-1.34%
3.020
-0.56%
0.0009048
-9.33%
0.0004421
-4.10%
0.02948
-6.50%
0.0694
-1.00%
0.0548
1.48%
0.0001
0.00%
0.0897
2.99%
0.1531
-0.20%
0.000017
21.43%
0.0000099
0.00%
0.532
-1.85%
0.000000000030
-57.14%
0.00000000000651
-0.15%
0.0351
-1.13%
0.000004
-55.56%
0.001100
-3.25%
0.750
0.00%
0.1352
-0.66%
0.003639
-9.68%
0.00004089
-1.64%
0.0119
-2.46%
0.001761
-5.02%
0.0000006650
0.51%
0.00000000000115
0.00%
0.0000138
39.39%
0.001025
-9.77%
0.1902
-1.50%
0.00040
11.11%
0.8430
0.19%
0.0007
-41.67%
0.00024
-4.00%
0.1922
-0.98%
0.0816
-4.00%
0.00608
63.88%
0.001790
0.00%
0.00220
-8.33%
0.0370
-2.89%
0.2993
-0.03%
0.00000007
-41.67%
0.0001402
-0.07%
0.0005
0.00%
0.001044
-7.86%
0.00004
0.00%
0.490
-3.54%
0.0001551
1.70%
0.0000002174
0.37%
0.00242
-7.98%
0.0000310
-0.64%
0.0004474
-14.98%
0.006312
-6.50%
0.1475
-0.87%
0.0006708
-6.61%
0.0066
3.13%
0.003327
-11.02%
0.00000000003011
79.65%
0.5396
0.86%
0.0014
55.56%
0.00000314
-4.56%
0.000062
40.91%
0.0000329
0.00%
0.0000091
15.19%
2.979
-1.55%
0.001233
-0.72%
0.000003220
101.25%
0.00000000056
-1.75%
0.0000000193
4.89%
0.0182
0.00%
0.0009
0.00%
0.0700
39.44%
49.879
-1.37%
0.00011
-8.33%
0.0618
0.16%
0.3905
24.72%
0.00000042
0.00%
0.000000108
2.86%
0.0108
10.20%
0.0005
25.00%
0.01299
-1.59%
0.7000
0.00%
0.00000000000288
-0.69%
11.5002
-4.96%
0.0026
0.00%
0.00009
-10.00%
0.000194
1.04%
0.000000000019
72.73%
0.3563
-8.92%
100.71
-0.94%
0.01200
0.00%
0.00011
-15.38%
0.003229
-10.53%
0.0027
0.00%
0.3061
0.26%
0.00004399
0.00%
0.000000000120
10.09%
0.00000007783
0.00%
0.000400
-20.00%
0.00000000003580
-1.70%
0.000000000769
-4.00%
0.000056
-27.27%
0.00077
-8.33%
0.000453
-0.44%
0.000092
6.98%
0.000000001868
-0.05%
0.00011
0.00%
0.000000000750
-7.75%
0.0475
-4.62%
0.00006
-40.00%
0.00774
12.34%
0.000000000375
0.27%
0.000190693
-0.96%
0.000028
-15.15%
0.00000000000039
-4.88%
0.00000000000400
2.83%
0.000000008400
0.00%
0.000000000533
0.00%
0.000000002387
-0.83%
0.000000040
2.56%
0.000000000129
0.78%
0.00030000
-14.29%
8.94
-2.19%
0.00000152
4.83%
0.0249
9.69%
0.0000296
-12.43%
0.000033
-13.16%
0.001500
0.00%
0.2237
-0.53%
0.0562
28.60%
0.01075
-9.13%
0.001650
50.00%
0.00021
0.00%
0.00083
0.00%
0.0085
41.67%
0.000700
38.34%
0.0000017
-41.38%
0.0000010
42.86%
0.0822
-0.60%
0.005123
-3.97%
0.02311
-14.91%
1.2799
0.38%
0.01476
-6.99%
0.1166
-1.85%
0.0003842
-5.79%
0.4896
0.62%
0.10555
1.39%
0.1369
-4.13%
0.3718
-2.24%
0.003258
-18.10%
0.2565
0.23%
58.5600
0.00%
0.0592
0.85%
0.0004530
-13.43%
0.0907
-4.53%
0.0004917
-6.84%
0.0003220
0.00%
0.002600
-7.04%
0.0009012
0.00%
0.0004036
-4.06%
0.00600
0.00%
0.0007993
0.00%
6.159
-0.77%
0.2216
1.00%
0.0000675
-0.74%
0.0000397
0.00%
0.002785
-5.66%
0.0012
0.00%
0.7732
-2.80%
1899.00
0.00%
0.4397
-3.28%
0.5933
-3.12%
0.0480
2.13%
0.00426
4.93%
0.00220
-5.98%
0.2084
-1.79%
2.5129
0.00%
0.468
2.86%
1.000000
0.00%
0.3771
0.00%
0.5732
0.00%
1.870
-1.01%
0.0569
-1.22%
0.000000100
0.00%
0.0001030
0.00%
0.00103
0.00%
0.6824
6.09%
0.0700
0.00%
0.00000000003010
63.06%
0.001126
-2.26%
0.00000088
3.53%
0.1526
-0.33%
0.01891
-0.84%
0.1908
-2.15%
0.000216
0.00%
2.179
0.00%
1.5000
0.00%
3.9889
0.00%
1.1371
0.00%
6.444
-0.89%
0.000079
0.00%
0.4424
0.00%
0.000398
2.58%
0.0071
0.00%
0.000210
0.00%
14.15
0.21%
0.0761
-3.55%
0.1140
-0.96%
0.1769
-0.11%
0.004285
-1.02%
0.000452
0.00%
0.0272
0.00%
0.1204
0.00%
2.707
2.04%
1.116
1.92%
0.006000
0.00%
0.000300
0.00%
0.0025
0.00%
0.00035
0.00%
0.0004
0.00%
0.00033
0.00%
0.011926
0.00%
0.001100
0.00%
0.000365
0.00%
0.001201
0.00%
0.0064
0.00%
0.0000002593
0.00%
0.00001584
0.00%
0.0000001013
0.00%
0.000025
0.00%
0.00005
0.00%
0.00006187
0.00%
0.000166
0.00%
0.001405
0.00%
0.2467
0.33%
0.000496
6.21%
0.000902
0.00%
0.0001
0.00%
0.0009
0.00%
0.0560
0.00%
0.004025
0.00%
0.00000100
0.00%
0.0000000104
0.00%
0.000685
0.00%
0.00000006
0.00%
0.001000
0.00%
0.0000000053
0.00%
0.0000000039
0.00%
0.00001626
0.00%
0.000423
0.00%
0.0065
0.00%
0.000310
0.00%
0.3284
0.00%
0.9500
0.00%
0.0057
0.00%
0.000405
0.00%
----
0.001290
0.00%
0.00000011
0.00%
0.00023846
0.00%
0.000758
0.00%
0.001000
0.00%
0.000058
0.00%
1.6799
0.00%
0.0920
0.00%
0.000098
0.00%
0.00000000002387
0.00%
0.00425
0.00%
0.00001
0.00%
0.000118
0.00%
0.0010
0.00%
0.00037
0.00%
0.001963
0.00%
0.00000055
0.00%
0.00006767
0.00%
0.00005458
0.00%
0.001263
0.00%
0.001210
0.00%
0.00171
0.00%
0.0072
0.00%
0.0001000
0.00%
0.05056
0.00%
1.3575
0.00%
0.00136
0.00%
0.00007
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%
0.9990
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%
0.01595
0.00%
0.001000
0.00%
50.0000
0.00%
0.0006
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%
0.001801
0.00%
0.0200
0.00%
0.0093
0.00%
0.0006
0.00%
65.1101
0.00%
1.444
1.98%
3.7189
0.00%
0.000082
0.00%
0.0072
1.41%
0.016111
0.00%
4.1000
0.00%
0.0489
0.00%
0.00008997
0.00%
0.0131
0.00%
0.0013
0.00%
0.1078
0.00%
4.4022
0.00%
0.0745
0.00%
0.002461
0.00%
0.001160
0.00%
0.3882
0.00%
0.001000
0.00%
0.076250
0.00%
0.020595
0.00%
0.0150
0.00%
0.0036
0.00%
0.1769
0.00%
2.2915
0.00%
0.000257
0.00%
0.000620
0.00%
0.000946
0.00%
0.022345
0.00%
0.4820
0.00%
0.0490
0.00%
0.0096
0.00%
1.76670591
0.00%
0.0024
0.00%
0.000399
0.00%
0.0000000000270
0.00%
0.0000002850
0.00%
0.6700
0.00%
0.0102
0.00%
0.00007
0.00%
0.01989
0.00%
0.2888
0.00%
0.00501
0.00%
0.02700
0.00%
0.0650
0.00%
0.3515
0.00%
0.00125
0.00%
0.000446
0.00%
0.4900
0.00%
1.0100
0.00%
0.5000
0.00%
0.010100
0.00%
0.0069
0.00%
0.88686
0.00%
0.05578
0.00%
1.1760
0.00%
0.000561
0.00%
0.1725
0.00%
0.01463
0.00%
0.01451
1.11%
0.00614
0.00%
0.4606
0.00%
0.001800
0.00%
0.000001000
0.00%
0.0000008
0.00%
1.3475
2.49%
0.00390
0.00%
0.0000325
0.00%
0.00000326
0.00%
1.0000
0.00%
0.00455
0.00%
0.34211
0.00%
0.00132
0.00%
0.0000077
0.00%
0.0005
0.00%
0.00146
0.00%
0.001277
0.00%
0.03520
0.00%
0.0000023
0.00%
0.000000005
0.00%
0.000514
0.00%
0.001987
0.00%
0.000313
0.00%
0.0000029
0.00%
0.0007000
0.00%
0.00200
0.00%
0.03455
0.00%
0.0032
0.00%
0.000495
0.00%
0.00049
0.00%
0.00041
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%
0.01030
0.00%
0.00240
0.00%
0.00070
0.00%
0.003000
0.00%
0.000310
0.00%
0.0000269
0.00%
0.0000000500
0.00%
0.0000001300
0.00%
0.000996
0.00%
0.7997
0.00%
0.0001543
0.00%
0.000426832
0.00%
0.00002805
0.00%
0.00776
0.00%
0.1600
0.00%
0.0000245
0.00%
0.000057
1.79%
0.1197
0.00%
0.00056
0.00%
0.000510
0.00%
0.00218
0.00%
0.002100
0.00%
0.000270
0.00%
0.0668
0.00%
0.000055
0.00%
0.3101
0.00%
0.0000301
-1.31%
0.00639
0.00%
0.4400
0.00%
1.4371
0.00%
0.002579
0.00%
0.250
0.00%
0.4432
3.41%
0.3844
-1.84%
0.001106
0.00%
0.0249
0.00%
0.6608
0.00%
0.0627
2.96%
0.5300
0.57%
0.00500
0.00%
3.58
0.00%
0.01168
1.21%
0.0020
0.00%
0.00538
0.00%
0.4487
1.13%
5155.00
0.00%
2.217
-0.45%
1.497
-2.35%
0.0091
0.00%