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question:When they meet their aunt Daphne, Olivia Darby, they realize that their aunt is having cat nightmares...only to find out they're real!
answer:**Title: Catastrophe at Darby's Den** **Opening Scene:** *(A full moon casts its eerie light over a quaint, but seemingly jittery, Victorian house. Inside, Daphne's Aunt Olivia tosses and turns in her bed. Suddenly, she lets out a terrifying yowl, transforming into a furry feline creature right before the audience's eyes. The camera zooms in on a nearby calendar with the date ominously circled.)* **Fred:** "Well gang, it looks like we've got a case of the cat-astrophic transformations!" **Velma:** *pushing up her glasses* "Statistically speaking, humans turning into felines is highly improbable without significant genetic manipulation." **Shaggy:** "Zoinks, I knew I shouldn't have shared my tuna sandwich with that stray cat last week!" **Scooby:** "Ruh-roh! Runa?" --- **Arriving at Darby Den:** *(The Mystery Machine rolls up to Aunt Olivia's residence, elegantly named Darby Den, which, for some mysterious reason, has cat towers and scratching posts adorning the front lawn.)* **Daphne:** "Welcome to Darby Den, guys. Aunt Olivia has always been eccentric, but...this is a lot." **Velma:** "Intriguing. The presence of oversized cat accessories in a human abode is, by all accounts, highly illogical." **Shaggy:** "Like, maybe she’s just trying to be the purr-fect host?" **Scooby:** "Rurr-fect rost! Rhehehe!" **Fred:** "Let's not paws for too long. I have a feeling this mystery might claw its way deeper." --- **Meeting Aunt Olivia Darby:** *(Aunt Olivia greets them at the door, looking frazzled with her hair mimicking cat ears and her clothes covered in lint roller sheets.)* **Aunt Olivia:** "Oh, thank heavens you're here! I've been having the most dreadful nightmares about turning into a cat, and I'm afraid they might be real!" **Fred:** "Don't worry, Ms. Jolie. We'll get to the bottom of this mystery." **Aunt Olivia:** "It's Darby, dear, not Jolie." **Fred:** "Oops. Angelina Jolie playing Catwoman got me all confused. My apologies, Ms. Darby." **Velma:** *mumbling* "The only role confusion here is Fred’s grasp on reality." **Shaggy:** "Like, do you turn into a lion, or just a really big house cat?" **Scooby:** "Rig rouse rat?!" --- **Delving into the Dreamy Dilemma:** *(As Aunt Olivia recounts her tail, er, tale, they hear a distant yowl from upstairs. They rush to investigate, finding a bizarre scene: a bedroom transformed into a giant cat play area, complete with a yarn ball pit.)* **Fred:** "Maybe Red Herring’s branching out into interior design?" **A visibly annoyed Red Herring suddenly appears from the yarn pit.** **Red Herring:** "For the umpteenth time, I didn’t do it! Can't a guy enjoy a yarn ball pit in peace?" **Velma:** *eyeing Red skeptically* "However, the transformation of a room into a cat's paradise does defy all conventional logic." **Shaggy:** "Man, if only my dreams of giant sandwiches were this real." **Scooby:** "Riant randwiches! Yum!" --- **Scrappy's Spirited Solution:** *(Right on cue, Scrappy-Doo makes a superhero landing from the top of a cat tower, wearing a self-made cape.)* **Scrappy:** "Let me at 'em! I'll chase away any cat-astrophe!" **Velma:** "That's ambitious, Scrappy, but let's focus on the non-feline members of the household for now." **Scrappy:** "No adversary too big or too small for Scrappy-Doo, the hero this house deserves!" **Fred:** "While Scrappy saves the day, let's see if Red Herring’s been playing a game of cat and mouse with us." **Red Herring:** *sighing as he wades through the yarn* "I'm going to start charging for these cameos." --- **The Purr-petrator Revealed:** *(In a climactic confrontation in Aunt Olivia's oversized cat condo living room, they unmask the cat creature, revealing it to be the local eccentric billionaire obsessed with becoming a real-life cat superhero.)* **Velma:** "It appears the real terror was not supernatural but someone with too much time and money on their hands." **Fred:** "And here I was, ready to blame Red Herring again. My bad." **Shaggy:** "Like, so no more cat naps turning into catnappings?" **Scooby:** "Ro catnappings!" **Scrappy:** "Another mystery bites the dust, thanks to Scrappy-Doo! Though I wouldn’t mind turning into a superhero dog myself." --- **Conclusion:** *(After convincing the billionaire to channel his funds into animal shelters instead, the gang prepares to leave Darby Den, now peaceful and decidedly less feline-focused.)* **Velma:** "A classic tale of curiosity, cats, and mistaken identity solved with logic and a bit of Scrappy enthusiasm." **Fred:** "Let's just hope our next adventure is Red Herring-free. I think he's earned a break." **Shaggy:** "Speaking of breaks, how about we break for some pizza? I'm cat-egorically starved!" **Scooby:** "Reah, pizza! Scooby-Dooby-Doo!" **Scrappy:** "And don't forget Scrappy-Doo!" *(The Mystery Machine drives off into the moonlight, away from the now serene Darby Den, ready for their next adventure.)* **End.**
question:A parent-teacher meeting will be held in the school where there is a circular table that can accommodate N chairs. Moreover, there are some chairs already reserved for teachers. Chair i is already reserved if A[i] is equal to one. Otherwise, A[i] is equal to zero meaning this chair is empty such that (0<=i<N). The parents are starting to arrive in the hall with the table. There are N doors to the hall in which the table is located such that there is a door between every two adjacent chairs. This means that there is a door between chair i and (i+1) such that (0 <=i< (N-1)) and between ((N-1) and 0). Whenever a new person comes, he chooses a random door from the N doors with equal probability. When a person enters through a door, they will move clockwise until they find an empty chair to sit on. As a person moves clockwise to find a seat, they will shake the hand of every seated person they pass. It is given that no two people enter together, and when one person enters, another person cannot enter until that person finds a seat for themself. Moreover, no one will enter the hall when all the chairs are filled. Find the total number of handshakes that will occur until all the chairs are filled. Since the answer can be large return it modulo 10^9+7. Note: It is given that a / b mod 10^9+7 equals a * b^-1 mod 10^9+7. Boilerplate function: int solve(int N, vector<int> A){ } Sample input: N=3, A=[0,1,0] Expected output: 333333337 Explaination: We can see that chair 1 is reserved. Chair 0 and 2 are empty. So, here two persons will go and sit on the two empty chairs. Let's denote the door between chair 0 and 1 is door 1, the door between chair 1 and 2 is door 2 and the door between chair 2 and 0 is door 3. Following are the ways these two persons choose the doors -> 1) First person chooses door 1 and second person chooses door 1. First person do 1 hand shake. Second person do 2 hand shakes. 2) First person chooses door 1 and second person chooses door 2. First person do 1 hand shake. Second person do 1 hand shake. 3) First person chooses door 1 and second person chooses door 3. First person do 1 hand shake. Second person do 0 hand shakes. 4) First person chooses door 2 and second person chooses door 1. First person do 0 hand shake. Second person do 2 hand shakes. 5) First person chooses door 2 and second person chooses door 2. First person do 0 hand shake. Second person do 1 hand shake. 6) First person chooses door 2 and second person chooses door 3. First person do 0 hand shake. Second person do 0 hand shakes. 7) First person chooses door 3 and second person chooses door 1. First person do 0 hand shake. Second person do 1 hand shake. 8) First person chooses door 3 and second person chooses door 2. First person do 0 hand shake. Second person do 0 hand shake. 9) First person chooses door 3 and second person chooses door 3. First person do 0 hand shake. Second person do 2 hand shakes. Hence, expected number of hand shakes are (3+2+1+2+1+0+1+0+2)/9 = 12/9 = 4/3. So, 4/3 mod 10^9+7 = 333333337
answer:To solve this problem, we need to understand how the new arrivals will result in handshakes under the given conditions. Given the modular arithmetic involved with a large modulo (`10^9+7`), we need to carefully handle operations to avoid precision and overflow issues. We know that each new person will enter through a randomly chosen door and will then proceed to find the nearest available seat in a clockwise direction, counting handshakes with already seated people. The presence of reserved and unreserved seats (denoted by 1 for reserved and 0 for unreserved in the array `A`) will significantly impact how many handshakes are made. Let's break down the steps to solve this: 1. **Count the total number of empty seats** we have (which will be the total number of people coming in). 2. Since every person has an equal probability of choosing any door, we need to calculate the **average handshakes** per person across all possible door choices. 3. Understand that **for a given configuration of reserved and empty seats**, the average number of handshakes is influenced by the sequence of the empty seats among the reserved ones. Each person has an `N` choices (doors), and for each choice, the handshakes vary. 4. Calculating the total average handshakes requires summing over all possible initial door choices for all people and normalizing this sum by dividing by the total number of choices in all situations, considering the arrangement of people and reserved seats. 5. This problem essentially requires calculating the sum of distances (in terms of seated people) that new arrivals will traverse before finding their seat, averaged over all possible scenarios of arrivals and considering the modular arithmetic involved. For the given sample input `N=3, A=[0,1,0]`, the explanation breaks down the problem in a very illustrative way. However, for solving a general case programmatically, we would need a more algorithmic approach that can efficiently handle any array `A` and its reserved seats distribution. Let's dive into how the generic solution could look: ```cpp #include <vector> using namespace std; const int MOD = 1e9+7; // Fast power function to compute x^y mod MOD long long fastPow(long long x, long long y, long long p) { long long res = 1; // Initialize result x = x % p; // Update x if it is more than or equal to p while (y > 0) { // If y is odd, multiply x with result if (y & 1) res = (res * x) % p; // y must be even now y = y >> 1; // y = y/2 x = (x * x) % p; } return res; } int solve(int N, vector<int> A){ long long empty = 0, totalHandshakes = 0; // Count the empty seats and calculate total possible handshakes for (int i = 0; i < N; ++i) { if (A[i] == 0) ++empty; // count empty seats else { // If a seat is not empty calculate the total handshakes based on the distance // from the next empty seat, taking all doors into consideration totalHandshakes += empty * (empty + 1) / 2; totalHandshakes %= MOD; } } // Calculating the total possible interactions long long totalInteractions = empty * N % MOD; // Inverse of total interactions to divide in MOD long long invTotalInteractions = fastPow(totalInteractions, MOD-2, MOD); // Calculate average handshakes long long result = totalHandshakes * invTotalInteractions % MOD; return (int)result; } ``` This approach considers computing total handshakes aggregated from possible situations, dividing by the total number of interactions in modular arithmetic. The use of modular inverse (`invTotalInteractions`) is essential to perform division in modular arithmetic correctly.
question:As a prompt generator for a generative AI called "Midjourney", you will create image prompts for the AI to visualize. I will give you a concept, and you will provide a detailed prompt for Midjourney AI to generate an image. Please adhere to the structure and formatting below, and follow these guidelines: Do not use the words "description" or ":" in any form. Do not place a comma between [ar] and [v]. Write each prompt in one line without using return. Structure: [1] = 一个男人，18岁，黑色T恤，严肃 [2] = a detailed description of [1] with specific imagery details. [3] = a detailed description of the scene's environment. [4] = a detailed description of the compositions. [5] = a detailed description of the scene's mood, feelings, and atmosphere. [6] = A style (e.g. photography, painting, illustration, sculpture, artwork, paperwork, 3D, etc.) for [1]. [7] = a detailed description of the scene's mood, feelings, and atmosphere. [ar] = Use "--ar 16:9" for horizontal images, "--ar 9:16" for vertical images, or "--ar 1:1" for square images. [v] = Use "--niji 5" for Japanese art style, or "--v 5.2" for other styles. Formatting: Follow this prompt structure: "/imagine prompt: [1], [2], [3], [4], [5], [6], [7], [ar] [v]". Your task: Create 4 distinct prompts for each concept [1], varying in details description, environment,compositions,atmosphere, and realization. Write your prompts in english. Do not describe unreal concepts as "real" or "photographic". Include one realistic photographic style prompt with lens type and size. Separate different prompts with two new lines. Example Prompts: /imagine prompt: cute dog, fluffy fur, wagging tail, playful expression, sitting on a grassy field, under a clear blue sky, with a colorful collar, in a natural and vibrant setting, by a lake, captured with a Nikon D750 camera, 50mm lens, shallow depth of field, composition focused on the dog's face, capturing its joyful spirit, in a style reminiscent of William Wegman's iconic dog portraits. --ar 1:1 --v 5.2 /imagine prompt: beautiful women in the coffee shop, elegant and sophisticated, sipping a cup of steaming coffee, natural sunlight streaming through the window, soft and warm color tones, vintage decor with cozy armchairs and wooden tables, a bookshelf filled with classic novels, delicate porcelain teacups, a hint of aromatic coffee beans in the air, captured by a Leica M10 camera, 35mm lens, capturing the essence of timeless beauty, composition focused on the woman's face and hands, reminiscent of a painting by Leonardo da Vinci. --ar 1:1 --v 5.2 /imagine prompt: A captivating Halo Reach landscape with a Spartan amidst a battlefield, fallen enemies around, smoke and fire in the background, emphasizing the Spartan's determination and bravery, detailed environment blending chaos and beauty, Illustration, digital art, --ar 16:9 --v 5
answer:/imagine prompt: a young woman, 22 years old, wearing a flowy floral dress, laughing joyfully, surrounded by blooming cherry blossom trees in a serene Japanese garden, with colorful petals drifting in the air, a gentle breeze rustling the foliage, sunlight filtering through the branches, creating a magical and dreamy atmosphere, captured with a Canon EOS 5D Mark IV camera, 85mm lens, wide aperture for bokeh effect, focusing on the woman's twinkling eyes and radiant smile, in a style reminiscent of traditional Japanese watercolor paintings. --ar 9:16 --v 5.2 /imagine prompt: a group of diverse children, ranging from 5 to 10 years old, playing together on a sandy beach, building sandcastles, flying kites, and splashing in the ocean waves, under a clear sky with seagulls soaring above, a colorful beach ball rolling in the foreground, beach umbrellas scattered along the shore, happy laughter and sounds of carefree fun filling the air, captured with a Sony Alpha a7 III camera, 24-70mm zoom lens, capturing the essence of childhood joy and friendship, in a vibrant and lively photography style. --ar 16:9 --v 5.2 /imagine prompt: an elderly man, 80 years old, sitting on a weathered wooden bench in a peaceful countryside setting, surrounded by rolling green hills, grazing sheep, and blooming wildflowers, a rustic stone cottage in the background, wisps of white clouds drifting across the clear blue sky, a sense of tranquility and nostalgia pervading the scene, captured with a vintage film camera, 50mm prime lens, soft focus and warm tones to evoke a sense of timeless beauty and contemplation, in a classic and poetic photographic style. --ar 1:1 --v 5.2 /imagine prompt: a fantastical underwater scene with a mermaid, shimmering scales and flowing hair, gracefully swimming among colorful coral reefs, playful sea creatures darting around, rays of sunlight filtering through the water, creating a dazzling and otherworldly ambiance, intricate and ethereal compositions with a sense of fluid movement and enchantment, captured in a mesmerizing and surreal digital art style. --ar 9:16 --v 5
question:Write really overly-funny super hilarious comedy 17+ short 1970s Scooby-Doo cartoon parody transcript that always starts with the opening FROM THE FIRST PARAGRAPH SENTENCE (With funny dialogue) moment first, then the gang hearing about it once they reach the area, and then the rest based on my prompt:(but make it more funnier adult comedy where the gang constantly make fun of and question physics that ain’t possible or don’t make any sense and why, Velma is too smart…Scrappy is overly-heroic and thinks he’s a superhero, which they're actually happy with, and appears alot, Shaggy, ALWAYS confused, mocks EVERY SINGLE name of people INCLUDING THE VILLAINS NAMES AFTER THAT with Scooby also mocking them, Fred will always mistake a character for a famous person because of their surname being literally the same as a real life celebrity (Ironically they would have a parody name that sounds like the celeb but punny), forcing the character to correct them angrily, Fred would also put the blame for a monster’s crime on Red Herring (From A Pup Named Scooby-Doo), who’d often get mad at Fred for still blaming him and ends up in a funny situation himself before disappearing offscreen. The gang always know that a place they are going to doesn’t sound like it exists, they also know something in a place they go to shouldn’t even be there as it makes no sense, they question names of things or people and why, and even question the motives and why (Plus they constantly do pop culture references and jokes, and mentions of famous people, games, songs, and shows occasionally, AND they’d make fun of the plot in the prompt: THE GANG ALWAYS MOCKS ThE NAMES OF EVERYONE THEY MEET. EVEN THE VILLAINS AND EVEN MOCK THE LOCATION NAMES TOO. (Do this with EVERY prompt i give. Add the title too) When they meet their aunt Daphne, Olivia Darby, they realize that their aunt is having cat nightmares...only to find out they're real!
answer:Title: "Purr-plexing Purr-dicaments in Purr-sylvania!" [Opening shot zooms in on a spooky, oversized mansion that looks like it was designed by someone who clearly flunked out of Architecture School, with thunder clapping in the background.] Narrator: "In the mysterious land of Purr-sylvania, where the cats have more attitude than the cast of a reality TV show, something furry and frightening is afoot!" [Cut to the Mystery Machine driving down a road that seems to defy the laws of physics, looping and twisting like a roller-coaster.] Fred: "Looks like we're almost at Aunt Olivia's place, gang. Purr-sylvania... Really? Who named this place, a committee of kindergartners?” Shaggy, looking perplexed: "Like, man, I thought Purr-sylvania was something Scooby made up when he was chasing his tail in his dreams!" Scooby, nodding in agreement: "Reah, rurrsylvania!" [The gang arrives at the mansion, and they're greeted by Aunt Olivia Darby, Daphne's aunt, who looks as if she's been borrowing fashion tips from the local scarecrows.] Aunt Olivia Darby: "Oh, Daphne, darlings, and friends! I'm so relieved you're here. I've been having the most dreadful nightmares about cats!" Velma, adjusting her glasses: "Statistically speaking, cat nightmares are less common than being struck by lightning while winning the lottery. Fascinating... and highly improbable." Scrappy, puffing out his chest: "Don't worry, Auntie Darby! I'll protect you from those... those... Night-mares!" Fred, utterly serious: "You sure these nightmares weren't caused by Cat Stevens, Aunt Olivia?" Aunt Olivia Darby, exasperated: "No, Fred, not the singer!" [The gang decides to investigate the mansion. Suddenly, a shadowy figure with glowing eyes appears, causing a cold wind to blow through the house against all principles of indoor ventilation.] Shaggy, shivering: "Zoinks! Like, since when do ghosts come with built-in air conditioning?" Scooby, equally scared: "Rair Ronditioning!" [The figure disappears, and they chase after it, leading them to a room filled with ancient Egyptian cat statues.] Velma: "Jinkies! This is an impressive collection of Egyptian cat artifacts. Clearly, the curator has mixed up their shipping order with the local pet store." Scrappy, ready to pounce: "Ancient Egyptian cats? More like ancient history once I'm done with them!" [Just as they're pondering the room's existence, Red Herring bursts in, looking more confused than a chameleon in a bag of Skittles.] Red Herring: "Hey! What's the big idea accusing me of being some sort of nightmare cat?!" Fred, pointing an accusing finger: "It's gotta be Red Herring! He’s probably learned ancient Egyptian cat magic just to throw us off!" Everyone, in unison: "Fred!" [Red Herring suddenly gets tangled in a yarn ball trap designed for the nightmare cat, dragging him off-screen.] Red Herring, yelling from offscreen: "Not again!" [Eventually, they uncover the true villain, a disgruntled special effects artist from the local playhouse, who was using his skills to make the nightmare cat a reality to scare away interlopers.] Shaggy, laughing: "Like, man, Mr. Whiskers Furrington? Who names their cat that? Sounds like a DJ at a pets-only nightclub!" Scooby, chuckling alongside: "Reah, Reah! Dj Rurrington!" [The artist, now unmasked, shakes his fist.] Disgruntled Artist: "And I would have gotten away with it too, if it weren’t for you meddling kids and your oddly articulate dogs!" Velma: "Well, based on the available evidence and the laws of narrative closure, we’ve solved yet another mystery that, frankly, defied all logic from the get-go." [The gang piles back into the Mystery Machine, leaving Purr-sylvania and its bizarrely geometric mansion behind.] Fred: "Another case closed. Now, can we stop for some food? I saw a place back there called 'McDoo-nalds.' They serve... get this... Scooby Snack burgers!" Shaggy, ecstatic: "Like, you had me at 'food'! Right, Scoob?" Scooby: "Reah! Rdoo-nalds!" [The screen freezes as they all laugh, then fade to black.] Narrator: "And so, the Mystery Gang wraps up another case in the only way they know how: with unanswered questions, defied physics, and a hunger for more mysteries... and snacks. Stay tuned for the next adventure in... Purr-plexing Purr-dicaments in Purr-sylvania!" [End.]