Make fortune tellers on the go – print out our origami diagram here: Fortune Teller Origami Diagram Get Access to All Printable DesignsĬootie Catcher Design Ideas – Create Fun Puppets in No time Grab the printable fortune teller diagram Push your fingers in those openings and wiggle it up a bit, as you continue to wiggle your cootie catcher will begin to form.Ĭongratulations! You have learned how to make a fortune teller! Now lets’ move to the fun part and make some quirky cootie catcher puppets. One side of the rectangle has “openings”. “Close it up” – the “triangles” should be inside and the “squares” should be on the outside once you fold it in half (see photo bellow). Once you fold all corners towards the center, you will get a square shape again.Īgain start folding – bring the corners to the middle.įold in half. Start folding, bring one of the corners to the center of the paper.ĭo the same with the other 3 corners. We usually skip this as it makes the cootie catcher puppets look cooler.įlip over the paper, the colored side, or side with the fortune teller design should face the table. Tip: You can also make diagonal folds – it will make the last step easier. You should see a “cross” across your square paper. Unfold.Ĭontinue by folding the origami paper in half again, this time along the other side. First fold the piece of origami paper in half to get a long rectangle. For a regular paper fortune teller you can use regular paper – for cootie catcher puppets you can also use construction paper. Start with a square paper / sheet of origami paper.
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Mega Millions is played in 45 states, along with the District of Columbia and the US Virgin Islands.ĬNN’s Carlos Suarez and Sara Weisfeldt contributed to this report. It’ll help a lot of people that’s for sure.” “Let’s wait to see if I win first and then I’ll decide what I’m going to do with it. “I say you can’t win if you don’t play, that’s my motto, and I’ve been playing for a long time,” Frye told CNN. Jim Frye, who plays the Powerball and Mega Millions every week but has never won “anything big,” said he played at Rawal’s 7-Eleven because he heard about the winning ticket in October. In California, Mega Millions prize amounts are pari-mutuel, will vary depending on ticket sales and number of winners and will differ from the fixed prizes shown on the Mega Millions. Lottery ticket sales have been steady this week at her store, she told CNN, and she expects lots of last-minute lottery customers to head to her store as the 11 p.m. To see draw results for participating Mega Millions lotteries outside California, search Mega Millions results. She hopes that luck continues with the Mega Millions drawing Friday night. She can’t say if her store is lucky or not but tells CNN that one of her customers won $50,000 a few weeks ago and another won $1,000 last week. The lucky ticket sale came less than a month after the area was hard hit by Hurricane Ian. Mona Rawal owns the 7-Eleven in Fort Myers, Florida, where in October 2022 one of the two winning Mega Millions tickets was sold with a jackpot of nearly half a billion dollars. Prizes have also been won on Friday the 13th in New York, Ohio and Rhode Island. There have been six previous jackpots won on Friday the 13th – and four of them were in Michigan, the release said. Since then, more than 33 million winning tickets have been sold, including 68 players who took home $1 million or more, the lottery added. The last jackpot was won at $502 million on October 14, when there were two winning tickets from California and Florida, the Mega Millions said. The Mega Millions’ massive jackpot topped the billion-dollar mark after nearly three months without a winning ticket drawn. “Our member lotteries raise funds for many good causes, ranging from education to conservation programs. “Now at $1.35 billion, the Mega Millions jackpot is moving up and making history as the second highest Mega Millions jackpot ever,” the lottery said. The estimated jackpot is surpassed only by the lottery’s record of $1.537 billion won in South Carolina in 2018, the lottery said. The jackpot soared from $1.1 billion after Tuesday night’s drawing when no winner snagged the big prize, the lottery said in a news release Wednesday. It likely will take hours before lottery officials announce whether there is a winner of the top prize. Officials said the estimated annuitized jackpot could be worth $1.35 billion – the second-largest in the lottery’s history – while the potential lump sum cash payout is $724.6 million. The winning numbers for the Mega Millions lottery drawing on Friday were 30-43-45-46-61 with a Mega Ball of 14. Friday the 13th might have ended up being someone’s lucky day. “Original Version” refers to the collection of Font Software components as distributed by the Copyright Holder(s). “Reserved Font Name” refers to any names specified as such after the copyright statement(s). This may include source files, build scripts and documentation. “Font Software” refers to the set of files released by the Copyright Holder(s) under this license and clearly marked as such. The requirement for fonts to remain under this license does not apply to any document created using the fonts or their derivatives. The fonts and derivatives, however, cannot be released under any other type of license. The fonts, including any derivative works, can be bundled, embedded, redistributed and/or sold with any software provided that any reserved names are not used by derivative works. The OFL allows the licensed fonts to be used, studied, modified and redistributed freely as long as they are not sold by themselves. The goals of the Open Font License (OFL) are to stimulate worldwide development of collaborative font projects, to support the font creation efforts of academic and linguistic communities, and to provide a free and open framework in which fonts may be shared and improved in partnership with others. SIL OPEN FONT LICENSE Version 1.1 - 26 February 2007 This license is copied below, and is also available with a FAQ at: This Font Software is licensed under the SIL Open Font License, Version 1.1. Copyright 2011 The Montserrat Project Authors ( ) People interested in developing algorithmic thinking, including teachers and students. To promote development of high-level algorithmic thinking (with no computer programming), supported by a carefully developed list of general algorithm design strategies and analysis techniques Although algorithms constitute the cornerstone of computer science and no sensible computer programming is possible without them, it is a common misconception to equate the two Some algorithmic puzzles predate computers by more than a thousand years It is true, however, that the proliferation of computers has made algorithmic problem solving important in many areas of modern life, from hard and soft sciences to art and entertainment Solving algorithmic puzzles is the most productive and definitely most enjoyable way to develop and strengthen one’s algorithmic thinking skills WHOM IS THIS BOOK FOR? There are three large categories of readers who should be interested in this book:.To entertain a wide range of readers interested in puzzles.Com Algorithmic Puzzles This page intentionally left blank ALGORITHMIC PUZZLES Anany Levitin and Maria Levitin Oxford University Press, Inc., publishes works that further Oxford University’s objective of excellence in research, scholarship, and education Oxford New York Auckland Cape Town Dar es Salaam Hong Kong Karachi Kuala Lumpur Madrid Melbourne Mexico City Nairobi New Delhi Shanghai Taipei Toronto With offices in Argentina Austria Brazil Chile Czech Republic France Greece Guatemala Hungary Italy Japan Poland Portugal Singapore South Korea Switzerland Thailand Turkey Ukraine Vietnam Copyright © 2011 by Oxford University Press Published by Oxford University Press, Inc 198 Madison Avenue, New York, New York 10016 Oxford is a registered trademark of Oxford University Press All rights reserved No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior permission of Oxford University Press Library of Congress Cataloging-in-Publication Data Levitin, Anany Algorithmic puzzles / Anany Levitin, Maria Levitin p cm Includes bibliographical references and index ISBN 978-0-19-974044-4 (pbk.) Mathematical recreations Algorithms I Levitin, Maria II Title QA95.L475 2011 793.74-dc22 2010052043 Printed in the United States of America on acid-free paper To Max with love This page intentionally left blank Contents Preface ix Acknowledgments xiii List of Puzzles xv Tutorial Puzzles xv Main Section Puzzles xvi The Epigraph Puzzle: Who said what? xxi Tutorials General Strategies for Algorithm Design Analysis Techniques 22 Puzzles 32 Easier Puzzles (#1 to #50) 32 Puzzles of Medium Difficulty (#51 to #110) 45 Harder Puzzles (#111 to #150) 60 Hints 72 Solutions 82 References 241 Design Strategy and Analysis Index 247 Index of Terms and Names 254 This page intentionally left blank Preface in Questions and Answers WHAT IS THIS BOOK ABOUT? This book is a collection of algorithmic puzzles-puzzles that involve, explicitly or implicitly, clearly defined procedures for solving problems It is a unique collection of such puzzles The book includes some old classics, which have become a part of mathematics and computer science folklore It also contains newer examples, some of which have been asked during job interviews at major companies The book has two main goals: By dominant we mean that these two colors ‘override’ other colors. There are two colors that are dominant in cats. #16 Orange is one of the two dominant cat colors It’s harder for prey to spot a predator whose markings blend in with the natural surrounds than it is to spot a cat or any other predator that is a solid color. The purpose of tabby patterning is to provide camouflage for the cat when he or she is hunting. #15 Tabby patterns are designed to hide a hunting cat! What many people don’t realize is that cats can also be found with the same pale bodies and orange tabby points! These cats are often strikingly beautiful, like the lovely Siberian cat below. You will be familiar with some of the more exotic cat breeds that come in pale colors with dark points or markings on face, paws and tail.Cats like the siamese breed for example. White patches are most often found on the chest and belly or on the paws and tip of the tail. But like many other cat colors, red tabby can be mixed with white patches. And may reduce the chances of your cat bringing up hairballs. Long haired cats, need regular grooming, whatever their color, to avoid matting and keep them looking handsome! Brushing your long haired cat also helps to reduce the amount of hair they swallow when grooming themselves. But while the typical orange ‘street’ cat is often short coated, our orange friends can be either long or short haired. #9 Ginger Tabby Cats can be long or short hairedĬat coat hair length is inherited independently of color. It’s all to do with the way that the color orange is passed down on the cat’s chromosomes. You’ve probably heard that orange tabbies are usually male. #8 It’s true! Orange Tabbies are usually male A study published in 2015 showed that although in general lighter colored cats were rehomed sooner than darker cats, adult yellow colored cats sadly had the longest stay in the shelter. People may prefer their orange cats to be a really dark ginger or red in color rather than the paler yellow shades of orange. And areas of the skin that are pink or red – for example, our lips. Pheomelanin is also responsible for red hair in humans. Through color dilution, the chemical can create a range of shades from rich burnt orange to pale yellow or cream It’s the same chemical found in dogs, rabbits and lots of other animals. Pheomelanin is a pigment in the hair shaft reflects light in a red-orange-yellow range, which we then see as the orange colored fur in many of our pets. #6 The color orange is produced by a chemical called pheomelanin Based on their real life cat, Orlando, he even made it onto the radio and into a ballet. Author Katherine Hale created the books for her own children. Orlando The Marmalade Cat was featured in a series of children’s books published in the UK in 1938. We often say that the M on an orange cat’s face stands for Marmalade too! Or Magnificent, Magic, or Marvellous! #5 Orlando was one of the first red tabby cats from literature to become famous Orange tabbies are often called Marmalade cats in the UK, after the gingery color of one of our breakfast favorites – Marmalade, or Orange Jam. But the paler, brighter orange tabbies can be strikingly beautiful too. From a pale biscuity orange to a deep rich ginger or reddish brown. There is a surprising range or variety in the depth of color that you can find in orange cats. #3 Orange Tabbies come in different shades Google's Play Protect security system will scan any apps you sideload, but the sites you download them from should thoroughly vet all APKs and have a history of security and reliability, too. Advanced Download Manager 14.0.22 APK download for Android. Thus, if you're downloading APKs from outside the Play Store, you need to ensure that the site you use is reliable. Best Offline Games for Android - Apkpure. A person with malicious intentions could modify the APK before you install it, then use it as a digital Trojan horse to install and run malware. Manager modes also work offline, so you can manage your team anytime, anywhere. 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Some are better than others, so keep reading if you want to discover the best sites for downloading APKs safely. Several sites specialize in offering APK files for download. Now, eh Dad?-had packed a five-gallon jug The clothes in our suitcases as well, but The point, like my family did back when I was 11 Or, look at this as the perfect excuse to hit the high-fashion Like a European, having refit your wardrobe Way: If you lose all your luggage, you’ll Cards you can only pick up, of course, onceĭown the identification number of each traveler’sĪnd cross off the used ones. Most credit card issuers delete your old account numberĬards. Not much you can do about reactivating yourĬounts in reporting the loss in order to cut theĪ phone and quickly contact the last hotel,īreak, hang up, call the credit card company, That if they turn up two hours later at the Toll-free numbers in the countries you'll Here’s a cheat sheet (though double-check these numbers first):Ĭredit cards or traveler’s checks: call collect 801/864-6665. Or checks get lost or stolen, contact the phone numbers to report stolenĬards, as well as the numbers of each of your traveler’sĬhecks. Process it all and issue you a new passport, The cover), those passport-size photos you packed, Vital information don’t bother photocopying Of the information pages of your missing passport (that would be the If you lose your passport, go immediately to the Market to replace it! What if you lose your passport? (including the bulk of your cash) in your moneybelt, all you’ve lost is a day’s Where a staffer is likely to have found it-it’sĪdvice (well, OK, my dad's advice) and kept all your important stuff Holding out the wallet, and one asked, “You Russian students came striding across the square The locked doors in dismay after pounding at them When I returnedīack (the thing's up on top of a hill) and lookingĪround wildly. Of travel you leave your purse on an outdoor cafe table and blithelyĪt the gift shop of the cathedral in Krakow, Poland. Sometimes, you just get so caught up with the excitement That, even when you take all the precautions and have all travel smarts,Ī kilometer away, and he can still catch you by surprise.Īnd this one calls for an embarrassing story about Were off and running on what turned out to be one of their Phone calls to cancel his half the cards, and my folks Stuff ( passport, plane tickets, and whatnot) in his own moneybelt, which meant a few quick He had tucked away all his truly important That means he had planned well and Mom had half the bankcards Who, several years ago, had his pocket picked on his very first dayĭad. In a car trunk and then walk away you never know what shady Taught me to empty the rental car every night, and never to put something Told me to keep my wallet in a front pocket rather than the back soįirst forced me to strap on a moneybelt, the world's most annoying I'd say, of everything I know about travel, I learned one third from my parents, another thirdįound out, painfully, all by my lonesome. The fine art of losing things without losing your mind How to lose things-passports, credit cards, and other important items-while traveling and not have it ruin your vacation “We got down to the monument grounds, and we parked, and we’re walking around, and we ran into a gentleman,” he told CBS News in 2013. King, made the trek to the march the night before with a friend as a last-minute decision. The Scariest Thing in the Exorcist Movies Has Always Been the Body of a Pubescent Girl How the Host of One of the Most Popular Podcasts Made America’s Favorite Hairstylist Cry Over Trans RightsĪfter Watching Netflix’s The Fall of the House of Usher, Will You Sleep Nevermore? gave him a copy of the famous address given on the steps of the Lincoln Memorial at the climax of the historic 1963 March on Washington.ĭoes the Pioneer Woman Really Own All the Land from Killers of the Flower Moon? The Real Story Is Stranger. However, at the same time, he was as determined to have Black track-and-field sensation Jesse Owens wear Adidas footwear in the 1936 Berlin Olympics as Vaccaro was to put Jordan in Nikes, and he was similarly vindicated when Owens’ victories-which infuriated Hitler because they undermined the Nazis’ message of Aryan supremacy-had a similarly electric effect on Adidas’ sales.ĭuring the same conversation where Sonny asks George to put in a word for him with Jordan, George tells Sonny that Martin Luther King Jr. It was Adolf Dassler’s idea to enhance the company’s economic prospects by coaching and supplying shoes to the Hitler Youth. He and his brother Rudolf, the founder of Puma, joined the actual Nazi Party in 1933 shortly after Hitler became the German chancellor. However, Vaccaro ends up not using it, relying instead on introducing doubts about company management arising from the Dassler heirs’ power struggle following the founder’s recent death.ĭassler was not a young member of the Hitler Youth, not least because he was already in his 30s when the Nazis came to power, but the truth is arguably worse. (If you want to get technical about it, Gilmore’s actual last words were “ Dominus vobiscum,” Latin for “God be with you,” but these were simply uttered in response to the Catholic priest as part of his last rites.) According to Wieden, Nike was at first less than thrilled with the slogan, with CEO Phil Knight responding “ We don’t need that shit,” but Wieden won them over, and the brand’s sales soared after the tagline debuted in a 1988 commercial about an 80-year-old runner named Walt Stack.Īs part of his campaign to get Jordan’s mother Deloris (Viola Davis), the power behind the throne, to urge the basketball star to sign with Nike, as opposed to Adidas, the bigger German company who made what was at the time Jordan’s preferred shoe, Vaccaro comes armed with the story that the company’s founder, Adolf “Adi” Dassler, was in the Hitler Youth. Dan Wieden, an advertising executive assigned to the Nike account, was up against a deadline before a big marketing meeting with his client when he decided to suggest a slightly changed version of Gilmore’s last words, “Let’s do it,” as a tagline to link five unrelated 30-second ads together. The criminal in question was double-murderer Gary Gilmore, whose execution by Utah firing squad in 1977, as the first person to be executed under the United States’ recently reinstituted death penalty, was a mid-’70s cause célebrè, even becoming the subject of Norman Mailer’s Pulitzer-winning nonfiction novel The Executioner’s Song. This is mostly true, though Nike didn’t debut the slogan until a few years after the 1984 events of the film. In the film, Howard White (Chris Tucker), Nike’s field rep for basketball-related marketing, tells Sonny the company’s inspirational “Just Do It” slogan was in fact taken from the last words of a criminal facing a firing squad. One scene early in the film establishes the character of basketball talent scout Sonny Vaccaro (Matt Damon, in everyman mode): Stopping off in Las Vegas on the way back from a scouting trip, he’s amassed a healthy-looking pile of chips at the roulette table, but rather than walk away with his winnings, he puts them all on one final spin of the wheel, with predictable results. Like Moneyball, another sports story where the action takes place more in back offices than on the field or court, it’s the story of a mid-level underdog who champions an innovative idea that puts not only his own career but the fortunes of the whole company at risk. Nevertheless, thanks to a charming script by first-time screenwriter Alex Convery and some intelligent, actor-friendly direction from Ben Affleck, Air- now on Amazon Prime -makes the story of Nike’s efforts to sign a young Michael Jordan into popcorn-friendly entertainment. The pursuit of a star athlete’s endorsement by a sports footwear company may not sound like the most fertile ground for a movie.
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