[ARCHIVE] Bitcoin challenge discusion

[MrCrank]

Who try bitCrack? using CUDA..

[supika]

We made progress today and got our first positive test results.  Thanks for the help in posting the public keys.  That saved us some time.

You are genius, guys.
If you need testers please consider me.

We want to be testers

[PS4ever220]

@drotika
I have faith and I purchased from https://github.com/Saadinr/Pollard-s FULL Code: https://satoshidisk.com/pay/C74Tfg and I received the file   :
Pollard_s kangaroo-Windows 10 -Ubuntu 18.04.zip
but the zip file is password protected, I hope is not fake.
please if you could send me the password.
Thanks

She's Not Me
sorry but someone is having fun  
Github / Saadinr file: 1034.12KB (fake)
my file: 1194.3KB
see it on my profile
sory

Drotika 100% SCAMMER !!!

https://imgur.com/H7DZmEf
https://imgur.com/ZtMLbah
https://imgur.com/houqIuQ

[nazarpechka]

I have 33 amd rx570/580 gpus, if someone wants to cooperate and make them search the keys 60/40 (negotiable), can get even more power if you have a nice script. pm me. thanks

[BurtW]

My daughter and I have created our own thread to discuss the Science Fair Project to trap Bitcoin private keys using Kangaroos!

All of our results will be posted there.  Please move the discussion of the science fair project to the new thread.

We may want to have people help us test the program.

We will track everyone who has volunteered or will volunteer to help test the program in the OP in the new thread and contact you when the program is ready for that phase of development.

So far we have:

Firebox
supika
miningforprofit
agatazit

Thanks!

[BurtW]

BurtW
Want to be testers

Wrong thread, please use this thread:  https://bitcointalk.org/index.php?topic=5173445.0

[BurtW]

Work 6 hours a day for a few years,
maybe it will work  

I do not understand your comment.  The program is written and it works.  I just coded it from the the description here.

I admit it is very slow compared to a how fast a GPU version will be.  That is part of the project:  getting the program to run on a GPU.

to prevent further fraud
I decided to publish it on github available to everyone in less than a few days

What do you mean by "it"?  Are you planning to publish a GPU version of the algorithm?

[Firebox]

to prevent further fraud
I decided to publish it on github available to everyone in less than a few days

If you'll really do it that will be great! And I promise that the first bounty I get (if any), I will definitely share it with you!

[vimp666]

BurtW-do not trust. removes all messages from your topic.

[BurtW]

BurtW-do not trust. removes all messages from your topic.

I delete posts in our thread just to keep it clean.

In other words, once I quote a post and answer it then I delete the original post.  Your post and the answer I gave are still in the thread.

I just think the thread stays shorter and cleaner this way.

Please remove your post here where you say you do not trust me.

I did not think this would be an issue.  It is just to keep the thread clean.

Sorry about the misunderstanding.

[vimp666]

will you talk to yourself in this thread?
original

The thread is for posting our results and answering questions.

All of your posts are still in the thread.  They are quoted in my answers to all of your questions.

Please go back to the thread and notice all of your posts (and all the other deleted posts) are all still there in the quotes for the answers I gave.

For you I will make an exception, since it seems to bother you so much, and will not delete your posts in the future.

Does my cleaning up my thread bother any one else?  If so I will just stop doing it.

it doesn’t bother me, calm down. but the topic should live and breathe and you have a dead topic.IMHO

I obviously bothers you since you came in here and told people not to trust me.  

Do you now understand why I deleted your posts and if so will you delete all of your posts above where you said that you do not trust me?

do not forget to delete your messages and the topic will be virginal clean.Imagine, a mysterious name and no  message. The intrigue is better than in the worst thriller.a joke. I wish you to make your tool the best.

[Telariust]

Hi, zielar!

[VanitySearch ver1.15.2, add BitCrack mode, startPrivKey from seed arg]
I will immediately provide you with a compiled build and source code edits. Also, if possible, I can make changes as you wish.
I guarantee a probable acceleration from x1.3 to x1.7.
Just publicly promise that if success, you will send 0.1btc to 1LqJ9cHPKxPXDRia4tteTJdLXnisnfHsof to brichard19 as author of bitcrack.
I think his work is not sufficiently funded, meanwhile, for a whole year this and previous topics have been alive exclusively thanks to his program.
I want to fix it. Your word will be enough, I believe you.
Until brichard19 releases an update, you will have the advantage of speed.
And your donation will thank him.

VanityGen from BitCrack? Yes, i have too
But I don’t think you really need this dinosaur, unless you are a collector-connoisseur) a funny mistake

[zielar]

Hi, zielar!

[VanitySearch ver1.15.2, add BitCrack mode, startPrivKey from seed arg]
I will immediately provide you with a compiled build and source code edits. Also, if possible, I can make changes as you wish.
I guarantee a probable acceleration from x1.3 to x1.7.
Just publicly promise that if success, you will send 0.1btc to 1LqJ9cHPKxPXDRia4tteTJdLXnisnfHsof to brichard19 as author of bitcrack.
I think his work is not sufficiently funded, meanwhile, for a whole year this and previous topics have been alive exclusively thanks to his program.
I want to fix it. Your word will be enough, I believe you.
Until brichard19 releases an update, you will have the advantage of speed.
And your donation will thank him.

VanityGen oт BitCrack? Yes, i have too
But I don’t think you really need this dinosaur, unless you are a collector-connoisseur) a funny mistake

I meant VanitySearch in the previous post, of course.
So as not only because your version makes it much easier for me to manage my search - I also 100% completely agree with the content of your post. If not for brichard19 - it would be thin !. 100% to 100%, so it also includes the commitment to reward this person in the form of 0.1BTC regardless of value [also when the price reaches USD 50,000 / BTC].
P.S. I am glad that there are people who still trust in strangers ... and on the Internet.
I will officially confirm the value of this trust with a link to a transaction that I will perform under this commitment.

[virus-cyber]

zielar

if my memory serves me The same as the previous keys that I found (# 59, # 60, # 61) - the key was found in the BitCrack application to the developer there was no donation

[paniker]

used algo?

[Hurtson]

Start Hex                   Finish Hex
307A560B128BF9FF   307A56D9A34279FF
307A653BDE0079FF   307A6555B17B89FF
307C28323D762400   307C2A4912D82400
307EF8323D762400   307EF87F7930A400
30B46011F1AB6400   30B4605510496400
30B46B01F1AB6400   30B46B04A772D000
30D596C03D762400   30D597602ACB6400
30D69526F1AB6400   30D69531F41ED400
3159E2165C592FFF   3159E30E6403CFFF
3159E7165C592FFF   3159E73D6B5F2FFF
315D90165C592FFF   315D908AFB254FFF
3174E0165C592FFF   3174E0283C276FFF
31A560265C592FFF   31A560FEC03EAFFF
31A56C2DE28BF9FF   31A56C3680F7B9FF
31A5905010E1AFFF   31A590FF5C592FFF
31A5C05010E1AFFF   31A5C11F88AC6FFF
31A63E5010E1AFFF   31A63F320249AFFF
31A65E5010E1AFFF   31A65F03E373AFFF
31A6912DE28BF9FF   31A69189775EF9FF
31A6920DE28BF9FF   31A692FEE28BF9FF
31A69E5010E1AFFF   31A69E618FA42FFF
31F6B2C698864400   31F6B2C8ED696400
3246C601185E9200    3246C61E676BD200
3246F101185E9200    3246F1B3BF549200
325D49084085D200   325D4A18197DD200
325F49084085D200   325F492FF85E9200
3278B410185E9200    3278B4E435EE9200
3278B46672589200   3278B47FD118D200
32A68107EBAF4400   32A6811A15194400
32A681253EB74400   32A68297EBAF4400
32A68197EBAF4400   32A681A10872C400
32A815903EB74400   32A815B53E654400
32B5EA060AB49600   32B5EA0E57880800
32C1E1364085D200   32C1E13DD3782200
32C1E4064085D200   32C2F5F64085D200
32C2F5F64085D200   32C2F62BF964FA00
32C569401085D200   32C569833D375600
32C581404085D200   32C58142AC079200
32C58149AC079200   32C5814CE9313200
32C581504085D200   32C58167BC85D200
32C58167BC85D200   32C5831DB073D200
32C659401085D200   32C65BA3AB39D200
32C9E9401085D200   32C9E95A11F1D200
32D1E401ED696400   32D1E42CC8696400
32D1E501ED696400   32D1E5065AD5A400
32D1E513ED696400   32D1E5164E3CC400
32D2E401ED696400   32D2E419D5696400
32F07EC1ED696400   32F07ECDD0D82400
32F08EC1ED696400   32F08EC6B3F22400
32F09EC1ED696400   32F09EEE5D696400
32F17EC1ED696400   32F17EC56BB2E400
32F18EC6B3F22400   32F18EDBAC3B6400
32F19EEE5D696400    32F19F6B17E16400
32F204EE5D696400    32F20602D8516400
32F214EE5D696400   32F21502DCD92400
32F27EC1ED696400   32F27EC441B1D400
32F37EC1ED696400   32F37F4AEF692400
32F47EC1ED696400   32F47ED2D6AC6800
32F57EC1ED696400   32F57EC5D6FFA400
32F67EC1ED696400   32F67EC53EB74400
32F87EC53EB74400   32F87F0829C22400
32F90EC53EB74400   32F9116A3FB74401
32F91EC53EB74400   32F91ED367C04C80
3307B52435A35000   3307B52C4C109C00
3365D7B013D25200   3365D7C3BB8F5200
3369CA10185E9200    3369CA1130855200
336F495011000000   336F495E40978000
3396B41013D25200   3396B41925995200
339B4D5013D25200   339B4D620553D200
339B6C7013D25200   339B6C8032689200
339F106D53D25200   339F1139368C5200
339F206D53D25200   339F20880DDCD200
339F26A013D25200   339F26A8F5619200
339F27A015619200   339F27B0F3021200
339F27A015619200   339F2A5A4C10D200
339F2E012FFF5200   339F2E02188A9200
339F2E7010FF5200   339F2E8217415200
339F2EB010415200   339F2EBF723E5200
339F2EC010415200   339F2ED783AC5200
339F85D010415200   339F85D81B94D200
339F85E010415200   339F85EFE80A9200
33B15941D0CA0400   33B159A792FC0400
33B42E1035A35000   33B430F0D14C5000
33B46F81D0CA0400   33B46F92021B3000
33B49E01C3059000   33B49E7CAE960600
33B4D51435A35000   33B4D5B25B999000
33B52089C3059000   33B5209194F99000
33C4D589C3059000   33C4D5948C05F800
33C95801D0CA0400   33C9589978D45000
33C9680401000000   33C96953FD0A0400
33D4D589C3059000   33D4D594BA269000
33E2794010415200   33E27A2354555200
33E284A011BDA400   33E284C656E4EE00
33E46B1010415200   33E46B2325825200
33E7690110415200   33E76B3F80815070
33E8945011BDA400   33E894559750A400
33F46501D0CA0400   33F465AFCDFED800
33F4D501D0CA0400   33F4D61962520400
33F4D57010CA0400   33F4D591E3639400
33F4D701D0CA0400   33F4DB3593DE0400
342D5C6012D65200   342D5C7A5ABE1200
3469B57012D65200   3469B58334E89200
346F59016D4B1200   346F59122D9F9200
347EB5016D4B1200   347EB517E4A2D200
347EB590134B1200   347EB59B86CFD200
348D7B106D4B1200   348D7B2110539200
348D7B406D4B1200   348D7BA049D21200
3490BE2011975200    3490BE3028DA9200
3495B01801975200    3495B01E88AF5200
349EB12C01975200   349EB1345FECD200
349FA68001975200   349FA6D96B9B1200
34B0F6901126D200   34B0F691E0689200
34B2E60130689200   34B2E6F130689200
34B2E60130689200   34B2E607F83F9200
34E65901C3059000   34E65908FE959000
35B62D12BBAAE400   35B62D97FAFEE400
35B6EA0DA4B7AA00   35B6EA42BBAAE400
38BD94011E960600   38BD941FF6180600
38BD94211E960600   38BD94411E960600
38BD94411E960600   38BD9451840CCE00
38BD94611E960600   38BD94911E960600
38BD94911E960600   38BD94AF35390600
38BD94B11E960600   38BD94CC43CE0600
3A54B01194BCB600   3A54B11194BCB600
3A54B11194BCB600   3A54B21194BCB600
3A54B21194BCB600   3A54B31194BCB600
3A54B31194BCB600   3A54B32BD3F9B600
3A54B41194BCB600   3A54B42C6838E200
3A54B51194BCB600   3A54B5473E0AB600
3A54B61194BCB600   3A54B6422EC0F600
3B469D313E960600   3B469D5615400600
3B469E013E960600   3B469E14433D0600
3B469E201E960600   3B469EB5A2F40600
3B469E64B6668600   3B469EB5A2F40600
3B469F013E960600   3B469F123EA30600
3B469F313E960600   3B469F43B96BC600
3B469F613E960600   3B469F6B793D0600
3B8EAC0100000000   3B8EAC1C3247C000
3B96D40201D19600   3B96D412686D5600
3B96D435016D5600   3B96D439BB24D600
3B96D435016D5600   3B96D43F6CC19600
3B96D462016D5600   3B96D46399C09600
3B96D464016D5600   3B96D466C60B9600
3B96D467016D5600   3B96D470B1E55600
3B96D870116D5600   3B96D872732B1600
3B96D874016D5600   3B96D87BE16B1600
3B96D87C016D5600   3B96D8818E535600
3B96D8B2016D5600   3B96D8BCF2F0D600
3B96D8BD016D5600   3B96D8C373351600
3B9D641F628CB600   3B9D64EA6D4F3600
3BD46A25016D5600   3BD46A28E0071600
3BD46A2B016D5600   3BD46A2DB93A5600
3BD46A2E016D5600   3BD46A305DACD600
3BD46A35016D5600   3BD46A3863841600
3BD46A3863841600   3BD46A3E00E4D600
3BD46A52016D5600   3BD46A562E271600
3BD46A58016D5600   3BD46A5B47709600
3BD46A5E016D5600   3BD46A6031BAD600
3BD46A91016D5600   3BD46A9360BA1600
3BD46A96016D5600   3BD46A9852141600
3BD46A9A016D5600   3BD46A9FCAC01600
3BD46C52016D5600   3BD46C57BA455600
3BD46C57016D5600   3BD46C6196C71600
3BE7860492443600   3BE78644F1C23600
3BE786A00E80F600   3BE786AA05C5F600
3BE786B011C23600   3BE786BBF1EB7600
3C13B4010D2BF600   3C13B445E33DF600
3C14B401C26C3600   3C14B421C26C3600
3C14B421C26C3600   3C14B436F04C3600
3C14B621C26C3600   3C14B64708E73600
3C14B671C26C3600   3C14B68401CF3600
3C15B405E33DF600   3C15B436255E3600
3C23B401C26C3600   3C23B42B407E3600
3C25B901C26C3600   3C25B9423F363600
3C52E605E33DF600   3C52E6303597B600
3C569520F1000000   3C5695AECBD80000
3C59B520F1000000   3C59B5383CBEC000
3C81E705E33DF600   3C81E74F628CB600
3C9B472E01000000   3C9B49565CE1C000
3CA4D520F1000000   3CA4D57FB1E4D800
3CA4D620F1000000   3CA4D6F832AA0000
3CA5291101600000   3CA529121D304000
3CA5291501600000   3CA52919EC87C000
3CA5291C01600000   3CA5292414A2C000
3CA529A201600000   3CA529A63E948000
3CA529B201600000   3CA529B5B7150000
3CA529B601600000   3CA529BE31EEC000
3CA5E43017100000   3CA5E43193EC0000
3CA5E43501600000   3CA5E43F15F10000
3CA5E46017100000   3CA5E4618BFCC000
3CA5E46201600000   3CA5E463697B8000
3CA5E46701600000   3CA5E46874780000
3CA5E49017100000   3CA5E49181004000
3CA62E1051600000   3CA62EC25B60C000
3CAA6015C05F2934   3CAA60A1957DA934
3D0E9B850119B600   3D0E9B8A486B3600
3D0F9B850119B600   3D0F9B8B97807600
3D15B6010D2BF600   3D15B8648B60A600
3D16B8310D2BF600   3D16B8CF31CA7600
3D1E9B850119B600   3D1E9B9015677600
3D1F9B850119B600   3D1F9B8C875EB600
3D29B6010D2BF600   3D29B66C56FDF600
3D29B67001FDF600   3D29B671E8713600
3D29B67401FDF600   3D29B679F1283600
3D29B67C01FDF600   3D29B6802CE2F600
3D29B68011FDF600   3D29B688D8B23600
3D29B82011FDF600   3D29B82703F23600
3D29B82901FDF600   3D29B82FEA2E3600
3D29B862012DF600   3D29B864459FB600
3D29B867012DF600   3D29B870F2587600
3D2F9B850119B600   3D2F9B8ACC413600
3D438B0168BDF600   3D438B4168BDF600
3D49B6011119B600   3D49B65454687600
3D49B67014687600   3D49B68C8FAAF600
3D49B68D01AAF600   3D49B692BE2C7600
3D4E9B801119B600   3D4E9BD201A9B600
3D5B87091119B600   3D5B87590DC8F600
3D5B8E091119B600   3D5B8E09D8809600
3D5B8E29D8809600   3D5B8E49D8809600
3D5B8E49D8809600   3D5B8E69D8809600
3D5B8E69D8809600   3D5B8E89D8809600
3D65C840090D3000   3D65C84CBE39B000
3D693B0401000000   3D693BAD952D3000
3D69B4010D2BF600   3D69B466E938B600
3D69B4501F19B600   3D69B45FB286F600
3D6AB3801119B600   3D6AB3813B8FF600
3D6AB3820119B600   3D6AB38C77EEF600
3D6AB38D0119B600   3D6AB38E13C23600
3D6AB38F0119B600   3D6AB3930F4EF600
3D6B9402628CB600   3D6B941172C03600
3D6B945022C03600   3D6B94F951E87600
3D76B5010D2BF600   3D76B560C4587600
3D76B5810D2BF600   3D76B7A372E7F600
3E16D4301101E934   3E16D4901101E934
3E26D4301101E934   3E26D4A1EEC9A934
3E2B36A01101E934   3E2B36AE622B2934
3E408B2011C01600   3E408B28EC989600
3E408B9011C01600   3E408BDF50015600
3E469A2501309600   3E469A270760D600
3E469A290160D600   3E469A2C0F3D1600
3E469A2E0160D600   3E469A30D4A51600
3E469A3501309600   3E469A3E1875D600
3E469A5201309600   3E469A5424ACD600
3E469A5801309600   3E469A610F4E1600
3E469A62014E1600   3E469A65A7249600
3E469A6701249600   3E469A691D4DD600
3E469A6A014DD600   3E469A73BB89D600
3E469A740189D600   3E469A7700C01600
3E469A7C0189D600   3E469A9C4CC01600
3E469AB01CC01600   3E469AB9866B1600
3E469AC011C01600   3E469AC26A561600
3E46D2501101E934   3E46D29751F96934
3E46D5201101E934   3E46D5305F33A934
3E49B850158CE934   3E49BAB87A2E6934
3E65B1700101E934   3E65B241C89EE934
3E67D490158CE934   3E67D64E56E22934
3E6AD359D8809600   3E6AD3743D181600
3E6D79401101E934   3E6D7A22758CE934
3E6DA720758CE934   3E6DB120758CE934
3E96D480105F2934   3E96D4906101E934
3E96D4910101E934   3E96D5056C796934

All of these ranges were scanned in the 62nd wallet.
Sincerely...

Awesome, are you using bitcrack? what is your speed key/sec? anyway thanks for the post,

[Telariust]

Yes I'm using bitcrack. RX 580 89MKey / Sec

Code:

>cuBitCrack-0.30 -d 0 -t 512 -p 1024 1CABDYTie48wXV93XJ4Bdk7MFSTyshTXxg
[2019-08-20.06:44:00] [Info] Compression: compressed
[2019-08-20.06:44:00] [Info] Generating 16,777,216 starting points (640.0MB)
GeForce GTX 980  2059 / 8192MB | 1 target 153.59 MKey/s (1,694,498,816 total) [00:00:09]

>clBitCrack-0.30 -d 0 -t 512 -p 1024 1CABDYTie48wXV93XJ4Bdk7MFSTyshTXxg
[2019-08-20.05:50:09] [Info] Compression: compressed
[2019-08-20.05:50:11] [Info] Generating 16,777,216 starting points (640.0MB)
GeForce GTX 980  1024 / 8192MB | 1 target 67.72 MKey/s (671,088,640 total) [00:00:07]

>oclvanitygen64.exe -v -D 0:0 -F compressed 12345678
Device: GeForce GTX 980
Grid size: 4096x4096
[59.23 Mkey/s][total 402653184][Prob 0.0%][50% in 2.9h]

y, it sad  


Just optimizing the compiler Cuda has gone a lot ahead.
Look for example: https://arxiv.org/ftp/arxiv/papers/1005/1005.2581.pdf

on the other hand... new release JohnTheRipper 1.9
https://www.openwall.com/lists/announce/2019/05/14/1

The release of the new version 1.9.0-jumbo-1 took place more than four years after the release of the previous 1.8.0-jumbo-1.

In the new version of John the Ripper, developers abandoned the CUDA architecture due to a decrease in interest in it and focused on the more portable OpenCL framework that works great on NVIDIA graphics cards.

opencl trash? or Brichard19 need to train more?  unclear

[Telariust]

For my real job I am writing all the TCG and secure boot ROM firmware for a next gen SSD controller ASIC.  This SSD controller ASIC happens to have a built in hardware crypto engine for AES, SHA, HMAC, RSA, ECC, etc.  I was thinking I could download a special test firmware into the SSD that would use the built in hardware crypto engine to do this calculation.  It would be incredibly fast.  I could justify downloading it to an entire rack of SSDs during manufacturing in order to do a "burn in test" of the crypto hardware on the drive.  Should be fun.

!!!!!
than
(auto-translate)

Now some super secret asic boost algorithm is being heard. Who knows what about him?

Consider several ways to find a hash with a given complexity
1. Sequential nonce from zero
2. Sequential search not from zero, but from a random point
3. Random search nonce.

Now each of the methods is separate. For clarity, let nonce vary from 0 to 1,000,000 and let us look for a hash with three zeros

Sequential nonce from zero .
In this case, the miner will find the hash on average for 3845 iterations, but with a probability of 61% iterations will be less. That is, Of the 100 hashes found, 61 hashes will be found faster than in 3845 iterations.

Sequential enumeration not from zero, but from a random point
In this case, the miner will find the hash on average for 3845/2 = 1923 iterations, while with a probability of 39.4% iterations will be less (I calculated this additionally). That is, out of 100 hashes, 40 will be found faster than in 1923 iterations.
 
Twice as fast as in the first case! This is because the random beginning, with a normal distribution, will fall on average to the center of the segment for enumeration.
Also in this method with a probability of 259/1000000 the hash will be found immediately.

Random brute force nonce.
In this case, you can never find the desired hash at all, but with a probability of 259/1000000, the hash will be found on the first try. If the random distribution is distributed normally, then the probabilities should add up, which means after 1923 iterations the probability of finding a hash will be already 50%. That is, out of 100 hashes, 50 will be found faster than in 1923 iterations.

As a result, it turns out that the first algorithm is the slowest. The third algorithm is the fastest. If I haven’t messed up anything of course ...

and googling "Probabilistic Bitcoin Mining Method"
What u know about this?
(given the probabilistic nature of the kangaroo, this can help)

[iparktur]

                      Start Hex                   Finish Hex
--keyspace 28326b5ee5b13781:28326b6bb3f29d81
--keyspace 34ccccbde61a2d01:34cccd086798cd01
--keyspace 34cccccdc0f0cd01:34cccd086798cd01
--keyspace 3ddc8bab2da2c001:3ddc9bab2da2cf01
--keyspace 3ddc8bb176f60f01:3ddc9bab2da2cf01

[BurtW]

(auto-translate)

Now some super secret asic boost algorithm is being heard. Who knows what about him?

Consider several ways to find a hash with a given complexity
1. Sequential nonce from zero
2. Sequential search not from zero, but from a random point
3. Random search nonce.

Now each of the methods is separate. For clarity, let nonce vary from 0 to 1,000,000 and let us look for a hash with three zeros

Sequential nonce from zero .
In this case, the miner will find the hash on average for 3845 iterations, but with a probability of 61% iterations will be less. That is, Of the 100 hashes found, 61 hashes will be found faster than in 3845 iterations.

Sequential enumeration not from zero, but from a random point
In this case, the miner will find the hash on average for 3845/2 = 1923 iterations, while with a probability of 39.4% iterations will be less (I calculated this additionally). That is, out of 100 hashes, 40 will be found faster than in 1923 iterations.
 
Twice as fast as in the first case! This is because the random beginning, with a normal distribution, will fall on average to the center of the segment for enumeration.
Also in this method with a probability of 259/1000000 the hash will be found immediately.

Random brute force nonce.
In this case, you can never find the desired hash at all, but with a probability of 259/1000000, the hash will be found on the first try. If the random distribution is distributed normally, then the probabilities should add up, which means after 1923 iterations the probability of finding a hash will be already 50%. That is, out of 100 hashes, 50 will be found faster than in 1923 iterations.

As a result, it turns out that the first algorithm is the slowest. The third algorithm is the fastest. If I haven’t messed up anything of course ...

and googling "Probabilistic Bitcoin Mining Method"
What u know about this?
(given the probabilistic nature of the kangaroo, this can help)

This is all about hashing, kangaroo does not use hashing anywhere in the algorithm.  Kangaroo only works when the public key is known.