Why does this algorithm always lead to the trivial square root of y when y is a perfect square ?

2025.02.01 22:06 AbbreviationsGreen90 Why does this algorithm always lead to the trivial square root of y when y is a perfect square ?

I noticed something strange about this code which I sum up here. First take digitsConstant, a small random semiprime… then use the following pseudocode :

  1. Compute : bb=([[digitsConstant0.5 ]]+1)2 −digitsConstant
  2. Find integers x and y such as (252 + x×digitsConstant)÷(y×67) = digitsConstant+bb
  3. take z, an unknown variable, then expand ((67z + 25)2+ x×digitsConstant)÷(y×67) and then take the last Integer part without a z called w. w will always be a perfect square.
  4. w=sqrt(w)
  5. Find a and b such as a == w (25 + w×b)
  6. Solve 0=a2 ×x2 +(2a×b-x×digitsConstant)×z+(b2 -67×y)
  7. For each of the 2 possible integer solution, compute z mod digitsConstant.
The fact the result will be a modular square root is expected, but then why if the y computed at step 2 is a perfect square, z mod digitsConstant will always be the same as the integer square root of y and not the other possible modular square ? (that is, the trivial solution).
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2025.02.01 22:06 Petrol1991 What is happening in vancouver

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2025.02.01 22:06 collateralloss Started from zero 6 months ago as an adult – here’s where I’m at now!

Started from zero 6 months ago as an adult – here’s where I’m at now! submitted by collateralloss to Swimming [link] [comments]


2025.02.01 22:06 stairlat does usf has open classes in the field of medicine?

hi. i'm a research student working at a lab in USF campus. i have some free time during the week and i would like to know if there are some open classes that I could watch without being an undergrad student.
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2025.02.01 22:06 sciguy87 Recommendations for watch repair?

Hi All, I would like to have my late-father’s vintage Seiko wristwatch repaired and restored (crystal, finish, and calibre). Does anyone have recommendations or experience with a local shop? Google recommended several jewelry shops, but would they be the best equipped to handle this kind of thing? Thanks in advance!
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2025.02.01 22:06 EfficientHoneydew994 is this real?

is this real? I just bought this off from a thrift store and i didn’t spend too much on it so not really stressing if its fake or not. but im curious to know if its real?
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2025.02.01 22:06 Candid-Extension6599 I got chemically attacked last night, and while panicking, I did something horrible

My family went on a trip yesterday, and I have 5 younger siblings, so we needed 2 hotel rooms. I was bunked with 2 younger siblings, while my parents and the others slept in room #2?
I was still on my phone around 3 AM, when I heard some commotion in the hallway directly outside our room. A few people were arguing, but it was muffled, I couldn't gague anything. Eventually I got up so I could call the front desk about it, but then I felt it
My eyes and nose were suddenly under attack. There was no scent, just pain. I woke up my siblings and told them we needed to run, to the emergency exit for safe air. Halfway there though, I had a scary thought, what if the rest of my family is asleep in room #2? I don't know what this chemical is, what if its capable of killing somebody without waking them up?
So I ran back, pounded on their door, and took off for the emergency exit. I waited in the cold with my younger siblings, trying to breathe it out, but I got scared, cause the rest of my family took a long time to escape. It turns out they were awake and heard the commition outside. Then when they heard me pound on their door, they thought I was the attackers. They shouted whos there, but I didn't hear it, because I ran away to try and escape the chemical
Because of me, my family was trapped in there for nearly a minute, including my 3 year old sister, whos probably traumatized. We think that it was bear spray (basically a pepper spray grenade), meaning there won't be any permanent damage to us, but it was still agony at the time
Why did I have to pound on that door, my panicking caused so much more pain than necessary, and probably traumatized my sister. Evacutating my little siblings was so scary, I wish I knew the chemical wasn't lethal. Trying to comfort my baby sister was so hard, she was shaking so much she thought she was cold. But she was warm to the touch, she just didn't know how to process how scared she was
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2025.02.01 22:06 therealestfr747462 ISO tattoo shop that will help me design a piece

got a tattoo that wasn’t done too well and looking to cover it up/get it reworked. i’m not very artistic or creative so i was wanting an artistic who would help me design something. i’m not sure what style tattoo i have. there’s some line work and some shading. it’s not too big either
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2025.02.01 22:06 halcyon_unknown GE washing machine whining noise

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2025.02.01 22:06 desertleaves First time seeing Francine!

First time seeing Francine! She was much more interested in the plants then us lol.
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2025.02.01 22:06 volcanicplasmadeath [OOT] Floating Hyrule - N64

[OOT] Floating Hyrule - N64 Basically the super smash
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2025.02.01 22:06 elgatosucio Pair of JBL L100s for $40

I was about to leave my local goodwill empty handed when I noticed an employee carting out a speaker with a really ugly grill. Popped open the grill and immediately spotted that it was a JBL L100. Plan is to get it refoamed by a local guy and then decide to keep it or sell. Pretty sure the set of speakers is 5 times more valuable than my brick of a late 90’s onkyo receiver and old AT-LP60 lol
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2025.02.01 22:06 SwedishRizzler 🩸💦 Minewind 🍒🔪 [SMP] {Modern Anarchy} {No Admins} {No World Resets}

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2025.02.01 22:06 Different_Humor2015 Who’s your historical crush?

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2025.02.01 22:06 Various-External4233 First house I've really made tbh thoughts?

First house I've really made tbh thoughts? Shimmer house spend a bit of time thoughts?
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2025.02.01 22:06 Monkekingchris Why dosent the deodorant last long?

For me it's the smell has never lasted long only for about 2 hours max Am I applying it wrong or is it the deodorant I use the fresh falls one
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2025.02.01 22:06 TrackaLackerBot lululemon Align Dress - Black - 10 is in stock at Lululemon for $148.00 (MSRP)

View current status at https://www.trackalacker.com/products/showcase/lululemon-align-dress...
As of 02/01/25 05:06 PM EST
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2025.02.01 22:06 goldkuala Looking for someone to play from the fog reimagined

Hi I'm 15 and looking for someone to play with
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2025.02.01 22:06 just_another_bumm I want to get tatted up but not sure if I should do it

I love tattoos. I love women with tattoos. I love seeing creative tattoos. I just think they look awesome. I want to get a sleeve or maybe both and my back tatted.
A couple issues I've come across. The biggest being money. I'm kind of poor so I'm trying not to spend money on useless things. I've seen how much tattoos cost and I'm not sure I could afford it without going into debt. I also don't know where to start. Like do I just start with one and expand from there? I also don't want to fuck it up. You know?
Another issue is that I've read alot of posts on here and people seem to agree that tattoos are trashy and it's something poor people do. I don't want to be seen like that. I have 0 tattoos and even some friends have said tattoos are trashy.
The last issue is the recovery time. Now ive not looked into it but can you work right after getting a tattoo? I work physically demanding jobs so I really don't want to take time off just to recover like fuck that I want a vacation.
I do want tattoos though! Anyone in a similar situation? What y'all do?!
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2025.02.01 22:06 tidepoolwitch Dyed hair and mixed feelings

Hi everyone, I recently dyed my balayaged blonde light ginger at the salon. My natural hair is dishwater blonde, and I’ve been dying it / balayaging it / highlighting it since my teens ( I’m now in my early 30’s ). My hair really needed a break from bleach, and I did too. I tried growing it out in the past, several times, but my natural colour just was not my thing. So I gave up and returned to the bleach every time. I now dyed it light ginger - strawberry blonde at a salon and it’s objectively very beautiful. My husband was originally okay with the idea. But now that it’s done, he’s sad. Oldest kid is also not a fan. My kids are all ( natural ) blondes and my husbands states that he feels sad that our family no longer looks like “us”. That I no longer look like my kids. Which breaks my heart. I find myself longinly looking at old photo’s where my and my kids share the same hair colour - even though my was not natural and theirs was. My husband is now getting used to the ginger. He does states the blonde was, to him, much more beautiful. I’m still loving it but sometimes this sadness arises when I think off him and off my kids. Even though I’ve been dreaming of going ginger for a long time and I’m finally bleach free. I kinda did not see this kind of impact coming. Did anyone feel the same way? Does this pass? Thank you 💐
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2025.02.01 22:06 Kind-Ad5989 2 new songs that I dropped

Lemme know if u fw any 😩
Link: https://open.spotify.com/album/2HaWTxoOtB2gG6vV2vbya7?si=UN4pdfxAScWLu1f5cqeeVg
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2025.02.01 22:06 iammitchconner82 NavigationAgent2D and AnimationNodeStateMachine. I finally got it working right

NavigationAgent2D and AnimationNodeStateMachine. I finally got it working right submitted by iammitchconner82 to godot [link] [comments]


2025.02.01 22:06 Capt__Rage Hidden among some memories

Hidden among some memories I was going through a box of pictures of my childhood and family and found these. I think they were my Grandmas only baseball cards but she was a huge Red Sox fan. And she was 94 in 20024. Talk about happy when they finally broke the curse!
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2025.02.01 22:06 Joe_1218 Arizona gun bills

Watch out Arizonans, anti-Second Amendment special interests have dropped a ton of hateful bills in the Arizona Legislature this year. Thanks to our tremendous Michael Infanzon of the Arizona Citizens Defense League for bring this to our attention:
🚨🇺🇸 Call To Action 🚨🇺🇸
Michael Infanzon, Chief Lobbyist for the Arizona Citizens Defense League (AzCDL), warns that Arizona is facing a wave of proposed anti-Second Amendment legislation, despite its strong gun culture. Bills introduced in the Arizona Legislature target firearm accessories, impose stricter regulations on gun owners, and propose bans on "assault weapons" and high-capacity magazines. Infanzon urges Arizona residents to remain vigilant, actively oppose these bills, and engage in efforts to protect gun rights.
List of Anti-2A Bills Introduced in Arizona: HB 2159 - Prohibited Weapon; Bump-Fire Device; Accessory HB 2211 - Severe Threat Order of Protection (Red Flag Laws) HB 2214 - Failure to Secure Weapon; Minor HB 2431 - Firearms Regulated by State; Repeal HB 2512 - Firearm Transfers; Offenses; Domestic Violence HB 2513 - Misconduct Involving Weapons; Instigation HB 2529 - Duty to Retreat; Repeal HB 2535 - Firearms Dealers; Transfers; Requirements HB 2536 - Sentencing; Concealed Weapons Permits; Surrender HB 2618 - Voluntary Prohibited Possessor; Definition HB 2619 - Assault Weapons; Magazines; Prohibition; Registration HB 2620 - Firearm Sales; Permit Verification; Requirements HB 2621 - Firearm Sales; Transfers; Background Checks HCR 2034 - Firearm Sales; Transfers; Background Checks HR 2002 - Gun Violence; Public Health Crisis
Give these bills a 👎🏽 in RTS.
t.me/CD4_MESSAGE_BO
https://x.com/Rach_IC/status/1885808067608261014?t=0c1jNnL-Vg365UixmyzJCA&s=19
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2025.02.01 22:06 PrincessaPoo Tips For Aladdin Jr

Hi! I'm doing Aladdin jr for my 8th grade musical and I got Aladdin, the only problem is I'm a soprano female and Aladdin... isn't. I'm nervous I'm not going to be able to sing his lines in songs like 'A whole new world' and 'Proud Of Your Boy' (Aladdins only solo). I don't want to mess up my Jasmine by singing to high but I can sing too low either. We use tracks so they can't make the music higher or anything. Can you give me tips about that and tips about being a lead? This is my first time and I'm kinda nervous. I don't want people to think I'm stuck up when I talk about Aladdin but that's the only thing I care about. I don't want my friends to be tired of me talking about Aladdin all the time. I also need to learn how to memorise lines. Can you help me random internet people?
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