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Dennis E. Shasha - The Puzzlers Elusion: A Tale of Fraud, Pursuit, and the Art of Logic

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Genius mathematician, Dr. Dennis Shasha, here sets out his latest book-length mind-twister. Made up of many smaller segments, some of which can be solved by ten year-olds and some which are more challenging, the detective work requires no more than high school geometry and junior high school algebra. In every case, imagination trumps knowledge.
The puzzles are set in a larger story of a mathematical detective named Dr. Ecco, his nephew and niece, and Professor Scarlet, the narrator. Scarlet is essentially the Watson to Dr. Eccos Sherlock Holmes, asking the questions a reader might ask. Each puzzle is posed in a plausible if imaginary real-life setting. There are no hidden facts, no abduction here, just deductive logic and mathematical thought.
Overlaying these puzzles are the ramblings of Dr Eccos old nemesis, Benjamin Baskerhound. He seems to be on the run, but hes trying to tell Ecco his whereabouts in a way that only Ecco will understand. The evidence builds up and readers are invited to send in their solutions. The winner will receive a pre-paid trip to the home of modern mathematics, Sir Isaac Newtons Greenwich Observatory.

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Table of Contents Introduction DR ECCO WOULDNT say that hes a hero Its - photo 1
Table of Contents

Introduction DR ECCO WOULDNT say that hes a hero Its not that he isnt - photo 2
Introduction
DR. ECCO WOULDNT say that hes a hero. Its not that he isnt courageous in his way. For amusement, he climbs short cliffs without ropes. He has been known to ski where he isnt supposed to. He has worked with people on all sides of the law. But he doesnt advertise himself as someone who pits himself against evildoers with weapons blazing. But then, even Ecco cannot always choose the nature of his adversaries.
Like anyone who consults for the rich and powerful, Ecco gives advice that affects national policies and peoples lives. Often the matters are so secret that he hears only a sanitized version, and his solutions, if implemented, play out far from the public eye. At other times, Eccos intervention has had a direct political effect, as when he convinced a jury that Benjamin Baskerhound was a pawn in a repressive conspiracy (see my chronicles of that story in Codes, Puzzles, and Conspiracy more recently entitled Dr. Ecco: Mathematical Detective).
But normally he conceals his role from the public eye. He will use his considerable omniheuristic skills (omniheuristic is a word Ecco has invented to describe himself, meaning solver of all problems; as youll see, he does not suffer from self-doubt) in the service of any client whom he finds discreet and congenial. One may dispute his standards of congeniality.
Hes as happy helping smugglers, treasure hunters, and monopolists to large profits as he is advising farmers and historians. For him, each puzzle is a quest. You can try to solve each one with him if you dare. I give you the same information that he has been given. Occasionally questions are asked that Ecco doesnt answer. You are welcome to try those, too.
But at some point, our story leaves the garden path of questions and solutions. It is then that Ecco must face problems whose solutions entail mortal consequences. As that story unfolds, I will relate to you everything that Ive seen or heard. Ecco hasnt yet told me all.

PROFESSOR JUSTIN SCARLET
NEW YORK CITY
Contest
TO BE A finalist in the contest for The Puzzlers Elusion, you must render Roses letter (in part IV of the book) to the Oregonian into plain text and answer any puzzles posed in that letter.
The prize for the winner is one round-trip ticket between New York City and London.
RULES
1. No purchase is necessary. Entry forms are void if they contain typographical or other errors. All entries must be received by July 15, 2007. Entries should be sent to puzelusion@avalonpub .com. Entries and other submitted material become the property of the Avalon Publishing Group, Inc., and will not be acknowledged or returned.
2. Entries must be wholly original and must not incorporate anything owned by any third party and must not violate any copyright, trademark, publicity right, or any other right of any third party. By entering the contest, you agree that the Avalon Publishing Group shall own, upon submission, all rights of every kind or nature including, without limitation, all intellectual property in perpetuity throughout the world in and to your submission, with the right to make any and all uses thereof for any purpose. All entries will be judged by the author, who will determine what he believes to be the best solution. If Dr. Shasha selects a name that has been submitted on more than one entry, a random drawing will be conducted of the entries bearing that name in order to determine the winner. There will be only one winner. The winner will be selected on or about September 15, 2007. The decision of Dr. Shasha is final and binding in all regards. The winner will be notified by telephone and mail.
3. The winner is responsible for all expenses not expressly included.
4. By entering or accepting a prize in this contest, the winner agrees to comply with all federal, state, and local laws and regulations. All federal, state, and local taxes are the winners sole responsibility. No prize substitutions, transfers, or cash alternatives will be permitted, except that the Avalon Publishing Group reserves the right to substitute a prize of equal or greater value at its sole discretion.
5. The contest is void where prohibited, taxed, or otherwise restricted by law.
Acknowledgments
WARM THANKS TO my editors and readers at Scientific American and Dr. Dobbs Journal, particularly John Rennie, Jon Erickson, and Deirdre Blake both for their editing skill and their monthly deadlines. The color cartoons are the imaginative work of Gary Zamchick. My first readers Ariana Green, Eric Olstad, Brad Reina, and Katharine Rose Sabo made many insightful comments. At Avalon, my editor John Oakes, copy-editor Karen Burns, production editor Michael OConnor have put up both with me and my specifications to create a handsome edition that I hope my readers will enjoy.
PART I
Rich Guys
Once in the thrall of a puzzle I forget all incidentalsthe client the reward - photo 3
Once in the thrall of a puzzle, I forget all incidentalsthe client, the reward, even the consequences. I focus and I muse in a time-forgotten ebb and flow. Suddenly the glimmer of an idea appears. I grasp for it, then twist it, flip it upside down, and bend it this way and that. Sometimes, I see through it. Then Ive found a solution.
ECCOS NOTEBOOK
The Smuggler and the Merchant
ECCO AND I were reading in his sunlit MacDougal Street apartment when the phone rang. Ecco set it on speaker.
Is this Dr. Ecco? I heard a voice ask.
Yes, here with Professor Scarlet, Ecco replied, smiling at me. How can I help you?
Its not for me, the voice said. I have a client who needs your help.
Please go ahead, Ecco said.
The man began: My client is a merchant. Call him Harout. Harout has just acquired a certain number of very valuable gold coins. He wants to send them from Yerevan to Zurich. Doing so by land requires passing through many unfriendly countries. Doing so by insured carrier is safe but requires paying 50 percent in insurance, shipping, and taxes.
He has discussed all this over tea with an untrustworthy but very capable smuggler. We call him Michael. Michael has said, No matter how many coins you send with me in a shipment, Ill take a commission of only a single gold coin for that shipment.
When he heard this, Harout just laughed and said: Both of us know that you may just steal the whole shipment from me. I promise you one thing: if you ever steal from me, Ill never do business with you again.
Michael agreed: True. I have a bad reputation. But then again, its either me or 50 percent goes to shipping.
Harout said, You are right. Lets start with the assumption that you know how many coins I have. Given your spy network, I must assume that. You also know that Im unlikely to get any more coins given the recent government crackdown. If I have one coin left, youll consume it entirely even without stealing. Also, if I send my last two with you, youll steal those for sure. You have no incentive to do otherwise, and I know you to be entirely rational.
Warm-up What if Harout has 4 coins Should he send any with Michael Solution - photo 4
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