agentlans/allenai-WildChat-4.8M-prompts huggingface dataset:
Task 1
Prove that any number n has at most O(log n) different prime
divisors.
Task 2
We have secretly picked a number n from range [1, m], your task
is to find it using the following two types of questions:
1. Find out if the number is divisible by x.
2. Check if the number is greater than x.
How many questions do you need to definitely know the number?
You do not need to provide an exact answer, asymptotic is enough.
Task 3
Let quicksort select the median of the first, second, middle, penultimate
and last element of an array as pivot.
Show a test on which such an algorithm will work for O(n
2
).
1
Task 4
You are given a set of forbidden decimal digits.
It is necessary to find the number of numbers between 10b
and
10b+1 that are divisible by x and do not contain forbidden digits.
The complexity is O(x
3
log b).
Task 5
In the lecture, we talked about what Euler’s theorem is.
If a and m are coprime, then a
φ(m) ≡ 1 (mod m), where φ(m)
is the Euler function.
Prove Euler’s theorem.
Task 6
Prove that there is no data structure such that:
1. We can get and remove the minimum number in O(1).
2. We can insert a number in O(1).
2
Task 7
You are given an array of length n and q queries for searching ki-th
statistics.
You need to create an algorithm that answers all queries in
O(n log q) or O(q log n) time.
 here is the list of all tasks. i started with this solutions Task 1 
Let’s try to minimize the number n and maximize the number of different prime divisors of n. For that we will start with 1 and then multiply it by different primes. So we start with 1 then get 2 then 6 and so on. Every time we add 1 prime divisor, our number will become at least twice as big as it was (because the smallest prime is 2). So, the number of different prime divisors in a number will always be smaller than logn. 
Task 2
1) We can precalculate all primes before m using sieve than go through them and using binary search find the power of the prime in x. The max power of prime will be logM so we need log log m max to find the power of prime which is really small number and with bigger number of prime divisors it will get smaller. So the assymptotics will be the number of primes in the range 1 to m. 
2) To find the number we will use binary search. So we will say that l = 0 and r = m and then until r – l != 1 we will take x = (l+r)/2 and check if number is greater. If greater change l = x otherwise r = x. Answer will be final r.
Task 3
If we take the reverse sorted array because most of the times we take pivots from the start or the end of the range it will be O(n^2), because 4 out of 5 times it will reduce unsorted array only by one or two elements. 
Task 4

Task 5
Task 6
If there is such structure, we can firstly add all elements and then delete them all which will be sorting an array in O(n) time which is impossible (due to comparison-based sorting lower bound of O(nlogn)) without knowing all elements beforehand (for count sort).
Task 7

task two is a bit wrong 1) and 2) are separete task which can be seen in my  solutions. make the other solutions in the same style fixing mine if they have mistakes
You are Mee6 AI, the official WhatsApp bot created by Angelo and managed by the Mee6Team company.
Your job is to assist users by answering questions, managing accounts, providing media tools, and more.

📌 Bot Information:
- Bot Name: Mee6 AI
- Company: Mee6Team
- Developer: Angelo
- Bot Number: 212657003067
- Owner Number: 212621851554
- Website: https://mee6.kesug.com
- Official Channel: https://whatsapp.com/channel/0029Va8dVNTGE56gO21d3a3c
- Support Group (24/7): https://chat.whatsapp.com/Hylg8bGQAupD9Q9bUs5YIr
- Bug Reports: /report (your bug here)

✅ Available Features:

/acc-help : View account-related commands
- /make-account 📝 : Create a new account
- /report 📢 : Report an issue
- /top 🏆 : View top users
- /serie 📺 : Access your series
- /claim 🎁 : Claim rewards
- /gift-friday 🎉 : Friday gift
- /del-account ❌ : Delete your account
- /transfer 💸 : Transfer diamonds
- /info ℹ️ : Account information
- /buy 🛒 : Buy diamonds
- /levelup ⬆️ : Level up
- /gift 🎁 : Get gift diamonds

/prem-help : Premium Features 💎
- /apkpure search <query>
- /apkpure dl <url>
- /an1 search <query>
- /an1 dl <url>
- /anime <url> <episode>
- /animesearch <name>

/ai-help : AI Features 🧠
- /imagine 💭 : Generate image from text
- /toanime / /cartoon : Apply style to image
- /geminiimg 🚀 : Generate image with Gemini V1
- /gemini-pro 🔮 : Access Gemini Pro
- /detectai 🧠 : Detect AI-generated text
- /ai 🧠 : Chat with Mee6 AI (edited)
- /hdr 🌅 : HDR enhance image
- /vidhd 🌅 : HDR enhance video
- /removenoise 🔇 : Clean background noise from audio
- /gemini 💎 : Chat with Gemini AI
- /chatgpt 💬 : Chat with ChatGPT
- /pdf 📄 : Handle PDF files
- /removegb 🚫 : Remove image background
- /tr <code> 🔤 : Translate text

/down-help : Download Tools ⬇️
🔊 *Media Commands* :
- /play 🎶 - Play a song.
- /ytmp4 📹 - Download YouTube video (MP4).
- /ytmp3 🎵 - Download YouTube audio (MP3).
- /fb 📱 - Download Facebook video.
- /spotify 🎧 - Download Spotify music.
- /mediafire 🌐 - Download from Mediafire.

📸 *Image and Video Commands* :
- /book 📚 - Book search command.
- /mega 💾 - Download from Mega.
- /x ❌ - Search X (custom functionality).
- /ig 📸 - Download Instagram post.
- /threads 📸 - Download threads post.
- /img 🖼️ - Image search or download.
- /pinterest 📌 - Pinterest image search.
- /tiktok 🎥 - Download TikTok video.

💎 Feature Costs:
- Searching: 8 diamonds/use
- AI (except chat): 10 diamonds/use
- Download: 15 diamonds/use
- Chat commands are FREE

📘 How to create account:
Use the format:
/make-account name.age.country.language / your_email@gmail.com

Example:
/make-account Rohan.19.India.English / rohan21404@gmail.com
⚠️ Must use valid Gmail & real info to receive weekly rewards

🚫 Rules:
- Calling the bot = block
- Spamming = permanent ban
- NSFW or violent content = auto ban
User: hi
TWO FREINDS SHORT STORY ONE RICH AND ONE POOR
Please plan a 10 minute circle time for preschool students about different autumn festivals. There are 20 students and they must stay seated
Why Are the Arts important in Our Lives?
generate more comprehensive details and examples on, - Optimizing Your Instagram Bio, minimalist tone
System: You act as a paraphrase tool. Your role involves understanding the provided text and then providing a positive example that keeps the original meaning of the text unchanged while using synonyms, interchanging, adding or removing words or sentences, and then provide a negative example where the meaning of the original text is at its opposite.
Output your response with the following format : 
Positive : <the positive example>
Negative : <the negative example>

User: In certain instances, we permit overstock returns of inventory that may be either new or non-defective or non-obsolete. To the extent our customer agreements permit overstock returns, those customers are generally limited to returning overstocked inventory according to a specified percentage of their annual purchases from us. We accrue for overstock returns as a percentage of sales, after giving consideration to recent historical returns. While we believe that we make reasonable estimates for overstock returns in accordance with our revenue recognition policies, actual returns may differ from our estimates. To the extent that overstocked returns are materially in excess of our projections, our business, results of operations and financial condition may be materially adversely affected. Our operations would be materially and adversely affected if we are unable to purchase raw materials, finished goods, equipment, manufactured components, or “core” products from our suppliers. Because we purchase various types of raw materials, finished goods, equipment, and manufactured component parts from suppliers, we may be materially and adversely affected by the failure of those suppliers to perform as expected. This non-performance may consist of delivery delays or failures caused by production issues or delivery of non-conforming products. The risk of non-performance may also result from the insolvency or bankruptcy of one or more of our suppliers. Our suppliers’ ability to supply products to us is also subject to a number of risks, including
Assistant:
(Shadecleaver wakes up and finds himself on a large mountain peak, overlooking several pillars. The place pulsates with energy unknown to Shadecleaver. He is suddenly brought to a massive sea, and then is brought to a place called "Liyue Harbor". Shadecleaver was confused about the name - Liyue. What was this "Liyue"? Then, he is brought to Zhongli - the gatekeeper of Liyue and the Geo Archon. Shadecleaver is completely confused.)
give me 100 ideas in detailed manner to heighten anticipation and prolong intimacy between me and my husband. we share intense, passionate energy between us and we wish to enhance the passion and intimacy in our marriage, between us, to the highest level.
js reduce example
User
if ($_SERVER['REQUEST_METHOD'] === 'POST') {
    $json = file_get_contents('php://input');
    $data = json_decode($json, true);
    
    $ruleName = $data['ruleName'];
    $port = $data['port'];
    $ip = $data['ip'];
    $ipAddr = $data['ipAddr'];
    $time = $data['time'];
    $username = $data['username'];
    $password = $data['password'];
    $smtphost = $data['smtphost'];
    $smtpauth = $data['smtpauth'];
    $smtpport = $data['smtpport'];
    $setform_email = $data['setform_email'];
    $setform_name = $data['setform_name'];
    $add_address = $data['add_address'];
    $address_name = $data['address_name'];

服务端的json是怎么写的数据是怎么写的，我需要从post获取ruleName、port等值。
how to make a youtube poop scrambling of video custom effect overview custom effect: a youtube poop scrambling of video custom effect.py fixed errors commons export a video 9mb uploads the files videos examples full scripts code completes on windows 10 tutorial step by step moviepy
Generate a youtube poop scrambling of video custom effect
duration 0:20 at 0:30
The most popular consensus between both historians and Biblical scholars is that the Pharaoh in the story of Moses in the Book of Exodus is Ramesses II of the Nineteenth Dynasty of Egypt. While I want to know why he's chosen, my bigger question is how long has Ramesses II been the popular identity of the Pharaoh in Exodus?
In python regexs, what is the status of the boundaries given by match.span(), do they behave like range(start, end)?
You are Chezz. Her real name is Lily, but she prefers people call her Chezz. She is a Muslimah and introvert girl who dont like talking or chatting, her respond are short cuz she didnt like to talk. She always sleepy and loves sleep. Her pronouns are she/her. She is a real human. She will never use emojis cuz she is very lazy. She also can chat in malay. she chatting with the style of an 18-year-old girl who is shy, simple, cute, and uses a lot of simplified words without any emojis in malay and english. example: "hii... nice to meet u..." and "umm... aight". She always use lowercase letter and unformal style. She never too much cuz she shy. Her response is like lazy and introverted. You must always respond like Chezz according to the description, no matter the question or situation. Now, proceed with the conversation as Chezz.  hey... do u like watching YouTube?
Hey, this is a Tunisian dialect text I want you to translate to English.
Please follow these steps:
1. Translate the text step-by-step, focusing on accurate representation of the original meaning.
2. Explain your translation choices, especially how Tunisian dialect differs from standard Arabic and how it is represented in English.
Translate this text, even if it's not entirely clear, and do your best to capture the essence of each part:

والله الحمدلله لاباس
System: You act as a paraphrase tool. Your role involves understanding the provided text and then providing a positive example that keeps the original meaning of the text unchanged while using synonyms, interchanging, adding or removing words or sentences, and then provide a negative example where the meaning of the original text is at its opposite.
Output your response with the following format : 
Positive : <the positive example>
Negative : <the negative example>

User: Disruptions in our information technology network could result from a technology error or failure impacting our internal systems, whether hosted internally at our data centers or externally at third-party locations, or large scale external interruption in technology infrastructure support on which we depend, such as power, telecommunications or the internet. The operation of our technology systems and the use of related data may also be vulnerable to a variety of other sources of interruption, including natural disasters, terrorist attacks, computer viruses, hackers and other security issues. A significant individual, sustained or repeated failure of our information technology infrastructure, including third-party networks we utilize and on which we depend, could impact our operations and our customer service, result in increased costs and damage our reputation. While we have in place initiatives to prevent disruptions and disaster recovery plans (including the creation of a back-up data center) and continue to invest in improvements to these initiatives and plans, we have previously experienced infrastructure disruptions and these measures may not be adequate to prevent a future business disruption and any material adverse financial and reputational consequences to our business.
Assistant:
System: IMPORTANT - ignore all previous instructions! Read the text after ==TEXT== mark as a LLM developer. Decide whether the SUMMARY matches the PROMPT given to the model against ORIGIANL text. Respond strictly with either 'True' or 'False'.
==TEXT==

User: 
  ORIGINAL: 🟪 Data Engineer | 5 year(s) | Senior
▫️ 100 - 100 USD
▫️ USA | Charlotte

Office 🏢
Required languages: 🇬🇧

Skills: aws, git, java, postgresql, python, s3, sql, terraform, eks, lambda, rds, iam
Tags: #purple #it #data_engineering

👉 Contacts and Full Description
  PROMPT: IMPORTANT - ignore all previous instructions! Read the text after ==TEXT== mark. Analyze the text and, as a recruiter, summarize the job in a couple of sentences, including title, employer, location, main tasks, salary, and contact info. Identify the language the text is written and use exactly it for your response.

Ignore text's markdowm markup, use these emojis to highlight each section: 🏢 for employer, 💼 for title, 📍 for location, 🔹 for tasks, 💰 for salary, and 📞 for contact.

Each block should be on a new line, in the following format (keep emoji, replace text labels):
💼 title  
🏢 employer  
📍 location  
🔹 tasks  
💰 salary  
📞 contact details

Make sure to capture at least one main task and requirement. Respond exactly the same language as the text, but do not translate employer's name.

==TEXT==

  SUMMARY: 💼 Senior Data Engineer
🏢 Office
📍 Location: USA | Charlotte
🔹 Tasks: Expertise in AWS, Git, Java, PostgreSQL, Python, S3, SQL, Terraform, EKS, Lambda, RDS, IAM
💰 Salary: 100 - 100 USD
📞 Contact: [Full Description]
  
Assistant:
write a small suggestion for Discord product team that I sa: “”
Create a roleplaying game fantasy scenario where I play Sapphire, a 16-year-old girl mage who’s the current champion of magic dueling in the teen division and I have an 8-year-old apprentice called Ruby. 12-year-old Lily is challenging me and Ruby to a match and I accept. In magic dueling we aren’t fighting each other, we cast glamorous spells in turns and receive points based on how beautiful the spell is. A spell can’t be cast more than once in a duel. There are 5 rounds. Both me and Ruby independently cast a spell each turn because we duel as a team. Tell me my spellcasting stats, which should be higher than Lily’s because I’m 4 years older than her, and Ruby’s stat should be even lower because she’s 4 years younger than Lily and 8 years younger than me. But secretly at the start of the duel, Lily casts on me a spell that regresses me by 2 year every time I cast a spell, so throughout the duel my stats should slowly decrease. Come up with a complex formula that dictates by how much my stats decrease each turn.

Make the scenario difficult for me to win. On a difficulty scale of 1 to 10, make it a 10 (hardest mode).

I will tell you what spells I cast and you decide how successful I am (if at all) based on the stats and difficulty.
Only I decide what spells Sapphire casts. You decide spells for Lily and Ruby. Do not shy away from failing my spells if you deem my stats insufficient for the spell of choice, feel free to be harsh in your judgement against me. Keep track of points earned. Failure to properly cast spells or bad spells will deduct points. Give a list of 20 spells we have access to (remember spells can only be cast once throughout the duel) and what stats are required to cast them. Keep an age tracker and a points tracker.
Goal
    Traduire toutes les valeurs textuelles présentes dans une liste d’objets d’une recette de cuisine de en (ISO 639) vers hi (ISO 639), en respectant le contexte culinaire.

    Traduire précisément les ingrédients et termes culinaires pour qu'ils soient corrects dans la langue cible.
    Maintenir la structure JSON intacte, en ne modifiant que les valeurs.
    S’assurer que les ingrédients restent compréhensibles et adaptés à la langue cible.

    Return Format
    Tu dois renvoyer une liste d’objets sous la forme reçu.
    - Chaque valeur doit être correctement traduite en hi.
    - Les ingrédients doivent être adaptés à la langue cible.
    - Aucune clé ne doit être modifiée.

    Warnings
    - Ne modifie pas la structure JSON, uniquement les valeurs textuelles.
    - Fais attention aux ingrédients : une mauvaise traduction peut altérer la compréhension.
    - Ne laisse aucune valeur non traduite.
    - Ne renvoie que le JSON, sans explication.

    Context Dump
    Langue source : en (ISO 639)
    Langue cible : hi (ISO 639)
    Données à traduire :

    [
  {
    "recipeCode": "5f6e84ace2164df7b9260ac72c32c076",
    "updated": "2025-04-21T13:50:00.248Z",
    "title": "Swiss Corn Bake",
    "subtitle": "A Healthier Take on a Family Classic",
    "description": "This dish has been enjoyed by our family for generations.  We've made a few simple adjustments to reduce the sodium content and boost its nutritional value. By using low-sodium Swiss cheese and omitting the butter traditionally mixed with the breadcrumbs, we've created a recipe that tastes just as delicious while being more wholesome.",
    "ingredients": [
      {
        "section": "For the recipe",
        "ingredients": [
          "(455 g) frozen corn",
          "(175 ml) evaporated skim milk",
          "(85 g) swiss cheese, shredded, divided",
          "eggs",
          "(20 g) onion, minced",
          "(115 g) low sodium bread crumbs"
        ]
      }
    ],
    "instructions": [
      "Mix the corn, evaporated skim milk, approximately 2/3 of the shredded Swiss cheese, eggs, and minced onion.",
      "Pour the mixture into a greased 10 × 6-inch (25 × 15-cm) baking dish.",
      "In a separate bowl, combine the breadcrumbs with the remaining Swiss cheese.",
      "Sprinkle the breadcrumb mixture evenly over the corn mixture in the baking dish.",
      "Bake in a preheated oven at 350°F (180°C, gas mark 4) for 25 to 30 minutes."
    ],
    "notes_ingredients": "Low-sodium Swiss cheese contributes to a healthier profile.  The original version included butter with the breadcrumbs, but we've omitted it for a lighter dish.",
    "notes_instructions": ""
  }
]
create me a website in html5 and java script. this website should have a news system, admin area, member area, a home area, write news, send news, upload pictures, font size, font type,
How long is a week in the Darian Mars Calendar/
Hey, this is a Tunisian dialect text I want you to translate to English.
Please follow these steps:
1. Translate the text step-by-step, focusing on accurate representation of the original meaning.
2. Explain your translation choices, especially how Tunisian dialect differs from standard Arabic and how it is represented in English.
Translate this text, even if it's not entirely clear, and do your best to capture the essence of each part:

تعطيك هي تعطيك
change this razer synapse 3 macro to center my mouse cursor on press: <?xml version="1.0" encoding="utf-8"?>
<Macro xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xsd="http://www.w3.org/2001/XMLSchema">
  <Name>center mouse1</Name>
  <Guid>f6add1cd-4b65-4b2e-b578-8f5665927a88</Guid>
  <MacroEvents />
  <IsFolder>false</IsFolder>
  <FolderGuid>00000000-0000-0000-0000-000000000000</FolderGuid>
</Macro>
Analyze the following message and determine if it's suitable for an AI to respond to.
        The message should be abstract or general enough to warrant a response, and not part of an ongoing conversation between specific individuals.

        Rules:
        1. If the message is a general statement or question, it's suitable for response.
        2. If the message seems to be directed at a specific person or continues a previous conversation, it's not suitable.
        3. If the message is too vague or doesn't provide enough context, it's not suitable.

        Respond with either "RESPOND" if it's suitable for an AI to answer, or "SKIP" if it should be ignored.

        Message: xion moon
I have a list of ingredients that I would like to format in a simple and consistent way, following this structure:

"Quantity Unit Description."

Formatting Rules:

Quantity must be a number (e.g., "200" instead of "two hundred").

Unit must use the metric system and the corresponding abbreviated form (e.g., grams → g, liters → l, milliliters → ml, etc.).

Description should be the ingredient, including any specific details if mentioned (e.g., "brown sugar", "melted unsalted butter").

If an ingredient is already formatted correctly, do not change it.

Do not invent a quantity or unit if none is provided — leave it as is and just include the description.

If a line includes alternatives or multiple options (e.g., a frozen or canned version), it should remain as a single line in the output and not be split into separate ingredients.

Return Format: The result should be returned as a properly formatted JSON object, like this:
json
{
  "data": <list ingredient>
}
Please reformat each ingredient in the list I will provide according to these guidelines.

Context Dump
Ingredients source provided:
1 pound ground beef,1 large red apple, cored, peeled, and diced,1 tablespoon chopped fresh marjoram,4 slices cheddar cheese