How does Risc Zero implement zkVM technology?

উৎস: LBankসময়: 2025-03-19 01:48:49

How Risc Zero Implements zkVM Technology

Risc Zero is at the forefront of blockchain innovation, utilizing cutting-edge zkVM (zero-knowledge virtual machine) technology to enhance security and privacy in smart contract execution. This article delves into the mechanisms behind Risc Zero's implementation of zkVM technology, exploring its core components and their significance in the blockchain ecosystem.

Understanding Zero-Knowledge Proofs

At the heart of Risc Zero's technology lies zero-knowledge proofs, specifically leveraging zk-SNARKs (Zero-Knowledge Succinct Non-Interactive Argument of Knowledge). These cryptographic proofs allow one party to prove to another that a statement is true without revealing any additional information about that statement.

This capability is crucial for maintaining confidentiality while ensuring trustworthiness. In practical terms, it means that computations can be verified without disclosing sensitive data involved in those computations. For instance, a user can prove they have sufficient funds for a transaction without revealing their entire account balance.

The Role of the Virtual Machine

The zkVM serves as an advanced virtual machine designed specifically for executing smart contracts securely and privately. Unlike traditional virtual machines where all data may be exposed during execution, Risc Zero’s zkVM ensures that sensitive information remains confidential throughout the process.

This secure environment allows developers to create decentralized applications (dApps) with confidence, knowing that their users' data will not be compromised during contract execution. The transparency provided by this system also enables auditing processes without sacrificing user privacy.

Ensuring Security Through Tamper Resistance

Security is paramount in any blockchain platform, especially when dealing with financial transactions and sensitive data processing. By employing zk-SNARKs within its architecture, Risc Zero guarantees that all computations are secure against tampering or unauthorized access.

This tamper resistance is achieved through cryptographic techniques inherent in zero-knowledge proofs which validate operations while keeping underlying details hidden from potential attackers. As a result, users can engage with confidence knowing their transactions are protected against fraud or manipulation.

Pioneering Privacy Measures

The implementation of zero-knowledge proofs directly contributes to enhanced privacy on the Risc Zero platform. Users only disclose necessary information required for specific transactions or verifications—nothing more. This selective disclosure model helps maintain user anonymity while still allowing participation in transparent blockchain activities.

This focus on privacy aligns perfectly with growing concerns over data protection and personal security within digital environments—making Risc Zero an attractive option for users who prioritize confidentiality alongside functionality.

A Scalable Solution for Blockchain Applications

An essential aspect of any successful blockchain platform is scalability—the ability to handle increasing amounts of work efficiently as demand grows. The integration of zkVM technology allows Risc Zero to execute smart contracts swiftly while maintaining high levels of security and privacy.

This efficiency makes it suitable not just for small-scale applications but also large-scale deployments where numerous transactions occur simultaneously without compromising performance or safety standards—a critical factor as industries increasingly adopt blockchain solutions across various sectors such as finance, healthcare, and supply chain management.

Conclusion

Risc Zero’s innovative use of zkVM technology represents a significant advancement in how smart contracts are executed on blockchains today. By harnessing zero-knowledge proofs through robust cryptographic methods like zk-SNARKs within its virtual machine framework, it offers unparalleled security measures alongside strong privacy protections—all while ensuring scalability suited for future growth demands.
In summary: With these features combined into one cohesive system; organizations looking towards adopting decentralized technologies can do so confidently knowing they have chosen a platform built upon principles prioritizing both integrity & discretion!

Technical Study
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-2.93%
0.003650
-5.49%
0.1888
10.86%
22.17
-5.30%
0.3138
4.32%
1.1946333
2.43%
0.1056
3.83%
0.003056
1.39%
0.04402
1.13%
0.005001
1.23%
1.7666
0.28%
0.001965
2.02%
8.0125
5.77%
0.0019
-5.00%
0.1288
-0.39%
0.0003060
49.93%
0.0637
2.58%
0.00748
12.48%
0.00000466
-6.99%
0.0945
2.61%
0.0709
0.28%
0.000374
-0.53%
0.00367639
9.61%
5.54
1.47%
0.2362
11.52%
0.03906
1.64%
0.067196
0.56%
0.0486
0.62%
0.0889
-0.11%
0.06773
-1.45%
0.000385
0.79%
0.3389
-7.18%
0.3797
5.47%
0.01968
-5.97%
0.00100
6.38%
0.001665
14.20%
0.11141
-0.05%
0.04637
-8.49%
0.000950
-18.73%
0.00000000009457
1.31%
0.01468
0.27%
0.06154
-7.56%
0.03653
6.07%
0.002139
2.54%
0.000229
-6.91%
0.3117
0.61%
0.005713
-1.40%
0.1228
5.50%
0.710
2.16%
0.000003230
12.94%
0.08557
-3.70%
0.001512
-10.05%
0.0002139
1.52%
0.3023
-0.23%
0.01274
61.88%
0.0000086
-3.37%
0.002250
11.88%
0.285
-0.70%
3042.05
0.03%
0.0025
0.00%
0.00240
-10.78%
0.04228
3.05%
0.000098
0.00%
7.46
1.63%
0.02009
-3.09%
0.002319
109.30%
0.06114
0.84%
0.0090
-18.18%
1.1944
4.00%
0.0000223
-0.45%
0.2027
7.25%
0.000000559
-1.06%
0.001114
2.77%
0.0000050
19.05%
0.27306
-0.75%
0.01323
4.17%
0.005644
-2.40%
0.00496
0.61%
0.007356
6.56%
0.000552
-6.12%
10.96
5.38%
0.01226
-19.08%
0.001088
-14.53%
0.000830
6.68%
0.5743
0.88%
0.05168
11.45%
0.07737
-5.07%
0.2964
11.09%
0.0002926
3.36%
0.1046
3.05%
0.00006627
1.44%
0.5301
5.12%
0.000098
-14.78%
0.2639
1.15%
0.015270
10.24%
0.65192
10.48%
0.000400
-55.56%
0.00000003906
-3.86%
0.1931
-0.46%
6.26
1.29%
0.00925
-0.64%
0.003715
5.15%
0.07286
0.48%
8.703
15.42%
0.0066
-1.49%
0.001018
3.25%
3026
0.27%
0.002190
5.49%
0.00000008493
7.23%
0.01191
0.25%
0.00282
-37.19%
0.1457
4.82%
0.00004161
-0.24%
0.002642
0.46%
0.0009755
17.40%
0.01081
-2.79%
0.0883
1.96%
0.001233
-6.59%
1.6019
7.60%
0.002641
-11.97%
0.0241
-3.60%
0.3100
-0.06%
0.010008
-5.33%
0.1126
2.18%
0.00712
1.57%
0.01320
14.78%
0.0042
0.00%
170.70
1.99%
14.12
-4.21%
0.1515
-0.79%
0.00996
1.84%
0.004504
0.87%
0.00002621
9.53%
1.040
0.58%
1.3614
2.18%
0.0810
-0.49%
0.0006706
-1.86%
7.156
0.86%
0.696
3.11%
0.0008287
2.78%
0.003241
-19.02%
0.00001340
-1.54%
0.00008400
4.70%
0.1747
5.37%
0.05213
7.42%
0.003266
8.25%
0.00002749
19.78%
0.002972
-7.76%
0.5676
1.12%
0.369
0.27%
0.00000001569
-10.09%
0.3611
2.67%
1.547
1.71%
0.9265
1.22%
0.690
7.64%
0.1922
0.68%
0.0098
-2.00%
0.0284
-3.73%
0.0726
-0.14%
0.02668
-2.31%
91.15
2.89%
2.219
0.41%
0.0000003103
-3.60%
0.000000571
15.35%
0.018316
0.28%
0.00914
8.81%
1.0635
-3.94%
8.01
-1.35%
3.584
2.78%
0.02844
33.33%
0.06295
1.37%
0.04155
5.89%
0.020970
12.22%
0.001695
-5.83%
0.0110
0.92%
0.004031
2.81%
2.387
-2.33%
0.7585
-10.70%
0.2844
1.28%
0.000834
2.84%
0.012521
0.03%
0.01787
-2.67%
25.1111
23.16%
0.00000001324
1.77%
0.0000488
-4.31%
0.01520
17.92%
0.6780
9.99%
0.00891
-0.78%
0.004249
0.59%
0.002843
1.35%
0.002579
-11.37%
0.0000000002090
-0.90%
0.568
2.16%
0.0006950
3.05%
0.00003937
-0.05%
0.2152
1.41%
0.0105
-3.67%
0.0027
-12.90%
0.00280
12.00%
0.004233
9.92%
1.6500
9.80%
18.70
0.86%
0.0365
1.67%
0.01174
2.00%
6.8001
-0.17%
0.00000065495
300.12%
0.0007885
-12.39%
0.013188
-6.49%
0.0003940
-14.33%
0.089821
-36.41%
0.000000000255
0.00%
0.0000000819
-3.42%
0.03187
-1.27%
0.4934
2.20%
0.0668
1.06%
0.004333
0.81%
0.1589
-1.67%
0.003504
-0.76%
0.01889
0.64%
0.0194
1.57%
0.003978
-1.09%
0.0000724
5.54%
0.634
-0.16%
0.003122
-8.85%
0.000002287
15.97%
2198.42
-2.27%
0.2146
1.56%
0.3972
-1.61%
0.001632
-2.68%
0.1182
1.72%
2.409
7.64%
0.1116
0.63%
0.2682
-3.39%
0.1495
0.54%
0.2586
1.41%
0.0594
1.54%
0.007179
-2.09%
0.7811
3.42%
0.001663
1.53%
2.282
1.92%
0.0002908
3.67%
0.000001681
1.33%
0.7625
-0.09%
0.912
1.33%
0.784
1.29%
0.3972
3.17%
0.2253
-1.31%
0.03255
-0.31%
0.429
0.94%
0.0005403
-2.79%
0.0785
0.38%
0.1949
-3.23%
0.00000411
2.75%
0.0000089
-3.26%
0.00010600
-2.23%
0.003462
1.23%
2.252
1.35%
0.00005843
-1.22%
0.001974
2.55%
0.0392
0.77%
0.01978
10.19%
0.05552
-9.56%
0.1011
1.81%
24.118
1.37%
0.013000
4.56%
0.001847
-3.25%
0.2182
1.49%
0.0099
1.02%
0.0051025
0.04%
0.1649
2.55%
0.00009203
-1.81%
0.2306
0.35%
0.02779
-6.68%
0.002800
-4.92%
0.0219000
-81.73%
12.50
-0.56%
0.000211307
-4.68%
0.0006583
2.57%
0.0472
0.00%
0.000090
9.76%
0.003885
-4.40%
0.00261
2.35%
0.493
-1.20%
0.7400
1.96%
0.05896
2.38%
0.745
0.68%
0.003555
2.24%
0.01311
1.00%
0.0103
0.98%
2.249
4.56%
1.062
6.84%
0.01614
-7.29%
0.837
1.09%
0.2264
0.31%
0.01831
0.94%
0.0000269
-1.82%
0.006005
9.88%
0.005025
4.60%
0.000700
-2.10%
0.03257
3.50%
0.0500
0.40%
0.0004630
-9.78%
0.001192
3.20%
0.01863
10.76%
1306
2.43%
2.001
5.37%
0.02072
11.52%
0.1505
2.52%
0.1003
-1.86%
0.004767
22.96%
0.000249
59.62%
0.003534
-17.35%
0.00776
-14.82%
0.0000000000000182
-0.55%
0.0550
1.85%
0.00000814
0.37%
0.001400
3.93%
0.3243
2.43%
0.0070
-7.89%
0.00000000000012
-57.14%
0.00022485
-0.14%
0.0566
-13.72%
0.02685
-1.97%
0.0696
3.57%
0.0580
3.39%
0.03186
24.50%
0.2173
0.32%
0.001805
-3.48%
0.001613
-10.39%
0.1058
0.76%
0.820
1.74%
79.9
0.50%
0.1959
0.77%
0.00004934
2.20%
0.0122
22.00%
0.000001740
2.96%
0.00000000001180
1.03%
0.1200
-4.00%
0.0116
-7.94%
18.01
2.21%
0.000329
-22.95%
0.00000000001605
20.50%
0.0967
0.52%
0.00121
-7.63%
0.04444
-1.29%
0.0362
2.55%
0.735
1.94%
0.0382
50.39%
0.005415
0.56%
0.8478
1.28%
0.00000000021945
39.85%
17.554
0.61%
0.0820
0.99%
0.1311
0.92%
0.01304
0.46%
0.005306
-2.32%
0.1569
-1.32%
1.918
0.21%
0.20330
2.98%
0.0781
4.97%
0.0965
2.22%
0.0000000623
0.48%
0.0316
-0.63%
0.03591
-3.65%
0.00000724
2.12%
0.01254
-7.32%
0.01650
0.49%
0.0000120
8.11%
0.2689
0.94%
0.01354
2.65%
0.0000000042630
42.05%
0.000843
96.05%
0.000001608
3.94%
0.6620
3.66%
0.00652
0.15%
0.001351
3.05%
0.00544
0.93%
0.002013
0.25%
0.1104
1.56%
0.00129
-7.19%
0.0000002188
1.34%
0.000025
0.00%
0.02573
2.67%
0.5307
0.25%
1.261
5.70%
0.00003
0.00%
0.00306
-2.86%
0.0004191
7.65%
0.1355
-1.24%
0.1198
-1.40%
0.000000000001783
3.12%
2.667
0.45%
0.0001884
55.57%
0.001077
-5.53%
0.0000000161
5.92%
1.4530
4.08%
0.0135
-20.59%
0.1506
4.73%
19.73
1.75%
0.00632
0.32%
0.0821
-0.73%
0.0881
0.46%
0.006050
7.48%
0.0000235
52.60%
0.4260
6.90%
0.2866
0.39%
0.0348
1.46%
0.00420
-0.24%
0.687
-0.87%
0.000000001908
-0.26%
0.0000488
-3.17%
18.39
1.04%
0.0920
-0.76%
0.001025
-0.10%
0.013598
-1.46%
0.03011
0.43%
0.0000019
0.00%
0.000795
-6.14%
0.230000
91.67%
15.65
-0.13%
0.000000000717
-0.69%
0.2239
0.04%
0.6096
3.30%
0.2899
11.46%
0.0952
-0.63%
6.551
1.22%
0.05962
2.35%
0.022345
-9.00%
0.0003995
1.94%
0.008233
0.06%
1.422
2.01%
0.0001
0.00%
0.0045
-10.00%
0.05812
-0.09%
0.000000000003823
-12.42%
0.00000000000012
-7.69%
0.0402
2.03%
0.0002462
-1.60%
0.0818
22.09%
0.020595
-3.29%
2.239
0.58%
0.002435
11.59%
0.00011
266.67%
0.0385
0.26%
0.0057
-39.36%
0.000384
-0.52%
3.55
1.43%
0.2147
4.22%
0.000025
0.00%
0.0024229
1.66%
0.0015
-16.67%
1.718
-0.41%
0.00009784
-40.70%
0.02968
0.10%
0.000080
35.59%
0.01718
1.48%
0.0000253
-17.59%
0.000000000000935
1.63%
0.0088
10.00%
0.00008997
0.02%
0.000199
3.11%
0.00125
-1.57%
0.0523
6.95%
0.9990
99.88%
0.00464
0.87%
0.00805
-6.94%
0.000000008400
0.00%
0.0000061
0.00%
0.750
36.36%
0.0002402
-13.50%
0.00003069
1.89%
0.0003
-80.00%
0.000270
-69.66%
250.00
-50.00%
0.0004469
12.57%
0.00713
1.86%
0.0006
20.00%
1.0100
2.02%
0.00040
-4.76%
0.00729
-5.32%
0.000000000006
50.00%
0.00015
0.00%
7.0498
4.40%
0.000061
10.91%
0.000111
3.74%
0.00000000000038
0.00%
3.051
0.63%
9.770
0.00%
0.3838
1.62%
0.1346
0.37%
0.00924
7.44%
0.000000000837
11.45%
0.1552
2.65%
0.0971
-0.21%
0.0000099
76.79%
0.000016
-11.11%
0.0000013
160.00%
0.00000000000651
-0.15%
0.00000926
-15.74%
31.13
-0.80%
0.02811
0.25%
0.0486
-2.99%
0.002579
-0.15%
0.922
0.11%
0.00000000000115
-5.74%
0.0000067
-26.37%
1.2684
0.26%
0.001136
-7.49%
0.00000000113
48.68%
0.00041
28.13%
0.00011
10.00%
0.00000000000212
20.45%
0.00026
0.00%
0.0000000000000159
1.27%
0.00000000003615
-6.37%
0.483
2.99%
0.477
7.19%
0.000000001998
0.96%
0.00220
-8.33%
0.0854
6.22%
0.5336
-0.34%
0.000001600
228.54%
0.1969
1.13%
0.1323
-0.38%
0.03455
-1.12%
0.00000326
-20.29%
3.58
-5.54%
0.0009
0.00%
0.000025
78.57%
0.004109
3.27%
0.004068
6.94%
0.002116
10.73%
0.00263
-4.01%
0.0000000188
2.17%
0.0005
-44.44%
0.00000326
2.52%
1.107
0.82%
0.01319
1.00%
0.0000675
-0.74%
0.000062
40.91%
0.000055
-23.61%
0.0000310
-0.64%
0.000916
3.27%
0.000031
6.90%
0.01715
1.90%
0.001790
-35.05%
0.0000067
-14.10%
0.000000000069
-30.30%
0.01697
0.18%
0.00000000055
-1.79%
0.0700
39.44%
0.001801
0.06%
0.0027
0.00%
0.004068
-0.17%
0.0005170
-3.54%
0.00026
4.00%
0.0005
25.00%
0.000000000609
-10.70%
0.00000000000289
0.35%
0.7000
0.00%
0.00002316
2.07%
0.0000700
-17.26%
0.2994
0.77%
0.0444
0.91%
0.00083
3.75%
0.000000000533
-0.37%
0.0818
2.00%
0.1446
-1.43%
0.000000000019
72.73%
0.000423
-0.94%
0.3800
-2.01%
0.001363
6.07%
0.1129
1.80%
0.000446
0.22%
0.0795
1.27%
3.1190
-1.14%
0.008000
0.00%
0.00000007783
0.00%
0.000561
1.08%
0.3900
3.67%
0.000000000765
-4.49%
0.000085
14.86%
0.04026
2.31%
50.0000
0.00%
0.000000110
0.92%
0.000452
-0.66%
0.0005
25.00%
0.0012
9.09%
0.022500
0.45%
0.00000055
-9.84%
0.0000645
0.00%
0.00000000000096
-5.88%
0.000000000375
0.27%
0.0000329
0.00%
0.00000000002900
73.03%
0.000000000108
-0.92%
0.00000000000382
-1.55%
0.00000000003010
64.21%
0.00000085
3.66%
0.000000002414
2.68%
0.000000042
13.51%
0.00030000
-14.29%
0.0000006633
0.29%
0.0005203
-2.77%
0.0000397
11.83%
0.0064
3.23%
0.000033
-13.16%
3.031
-0.59%
0.00239
-2.85%
0.000025
4.17%
0.0102
18.60%
0.0000017
-43.33%
0.00056
7.69%
0.001041
-0.29%
0.00119
21.43%
0.0562
28.60%
0.00000007
-41.67%
0.000307
27.39%
0.0013
116.67%
0.000400
14.29%
0.00023
9.52%
0.0617
-7.36%
0.00000043
0.00%
0.00004399
30.57%
0.0003220
0.00%
0.0569
7.36%
0.000824
-2.25%
0.01605
0.94%
0.4940
3.80%
0.10489
-0.17%
0.0581
-0.85%
0.00748
-10.10%
0.01271
11.69%
0.001124
0.18%
0.2468
4.49%
58.5600
0.00%
0.0001526
4.59%
0.0004951
1.83%
0.002907
10.24%
0.00371
0.00%
0.0009012
0.00%
0.13720
1.49%
0.006524
1.48%
0.003618
14.49%
0.0004214
-3.22%
0.00600
0.00%
0.0007993
0.00%
6.290
2.96%
0.05353
1.13%
0.033714
0.88%
0.02059
4.25%
0.02383
-1.57%
0.002986
1.12%
0.7970
1.44%
1899.00
0.00%
0.4550
-4.55%
1.27
-17.53%
0.1515
-7.17%
0.0468
4.93%
0.03112
0.84%
0.00417
8.59%
0.01181
0.68%
0.2151
5.39%
2.5129
0.00%
1.000000
0.00%
0.3771
0.00%
0.5732
0.00%
51.038
2.00%
0.0582
1.22%
0.000000100
0.00%
0.0001030
0.00%
0.00103
0.00%
0.6426
0.16%
0.0700
0.00%
0.001178
1.64%
0.1569
4.88%
0.01960
-3.16%
0.000216
0.00%
0.550
1.48%
2.179
0.00%
1.5000
0.00%
3.9889
0.00%
1.1371
0.00%
0.000075
-5.06%
0.4424
0.00%
0.000396
-2.22%
0.06037
-1.31%
0.9745
0.00%
0.0071
0.00%
0.000210
0.00%
0.1166
1.04%
0.01474
0.61%
0.0269
1.89%
0.1786
-0.94%
8.34
2.08%
0.004361
1.44%
0.3392
0.30%
0.000452
0.00%
0.0132
-4.35%
0.0272
0.00%
0.000187565
1.39%
0.1204
0.00%
0.006000
0.00%
0.000300
0.00%
0.00013
0.00%
0.00035
0.00%
0.0004
0.00%
0.00033
0.00%
0.011926
0.00%
0.000014
0.00%
0.001100
0.00%
0.000365
0.00%
0.001201
0.00%
0.0064
0.00%
0.0000002593
0.00%
0.000009
0.00%
0.00001584
0.00%
0.0000001013
0.00%
0.00005
0.00%
0.00006187
0.00%
0.000166
0.00%
0.001405
0.00%
0.2467
0.04%
0.000459
-3.57%
0.000902
0.00%
0.0231
-12.17%
0.0001
0.00%
0.0009
0.00%
0.0560
0.00%
0.00012800
0.00%
0.004025
0.00%
0.0118
19.19%
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%
0.0065
0.00%
0.000310
0.00%
0.3284
0.00%
0.9500
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%
0.00000000002387
0.00%
0.00425
0.00%
0.00001
0.00%
0.00004
0.00%
0.000118
0.00%
0.0010
0.00%
0.0000242
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%
0.001210
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%
0.000086
0.00%
0.00007
0.00%
0.000033
0.00%
0.001234
0.00%
0.000449
0.00%
0.0066
0.00%
0.0012
0.00%
0.0004
0.00%
0.0007
0.00%
0.0240
0.00%
0.000522
0.00%
0.020562
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%
4.0009
0.00%
0.01595
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%
0.0200
0.00%
0.0093
0.00%
0.0006
0.00%
65.1101
0.00%
1.434
1.77%
3.7189
0.00%
0.003015
0.00%
0.000082
0.00%
0.0072
1.41%
0.016111
0.00%
4.1000
0.00%
0.0489
0.00%
0.0350
0.00%
0.0131
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%
0.001989
2.42%
0.1769
0.00%
2.2915
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%
12.1000
0.00%
1.76670591
0.00%
0.0024
0.00%
0.000399
0.00%
0.0001403
0.00%
0.0000000000270
0.00%
0.0000002850
0.00%
0.6700
0.00%
0.00007
0.00%
0.01989
0.00%
0.0026
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%
0.4900
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%
0.05578
0.00%
1.1760
0.00%
0.00689
0.00%
0.1725
0.00%
0.00010
0.00%
0.03778
0.00%
0.01463
0.00%
0.00614
0.00%
0.04851
0.00%
0.4606
0.00%
0.001800
0.00%
0.00006
0.00%
0.0000007
0.00%
0.01200
0.00%
0.00010
0.00%
0.000001000
0.00%
0.0182
0.00%
101.67
0.00%
0.0000008
0.00%
1.3364
1.74%
0.01050
0.00%
0.00390
0.00%
0.0000325
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%
0.00146
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%
0.000313
0.00%
0.0000029
0.00%
0.0007000
0.00%
0.00200
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%
0.00070
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%
0.000000000128
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%
0.000510
0.00%
0.00218
0.00%
0.002100
0.00%
0.3101
0.00%
0.0000305
0.00%
0.00639
0.00%
0.4400
0.00%
1.4371
0.00%
0.000193
-1.03%
0.0000003963
0.00%
0.250
0.00%
0.4314
1.01%
0.3942
1.49%
0.001106
0.00%
0.0249
0.00%
0.6608
0.00%
0.0618
2.83%
0.00500
0.00%
0.0020
0.00%
0.00538
0.00%
0.4542
-2.18%
0.000000001869
0.00%
5155.00
0.00%
1.542
0.26%
0.0091
0.00%