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JULY The generalist by Didymus Enigma & puzzles Arithmagic Barry R Clarke At Hagwits School, Winnie the witch was teaching her young students a lesson in arithmagic. With a fl ourish of her wand, fi ve rows of four digits appeared on the white board. The fi rst two rows added together gave the second, while the fourth subtracted from the third produced the fi h. Winnie then explained the rules. One digit is to be deleted from each row, closing the gaps le behind, so that there is a valid sum in the remaining three columns. Then a second digit is to be erased from each row, and fi nally a third digit, closing the gaps in each case, to leave a correct sum each time. At the end of the process there should be a single column of fi ve digits. Reading down the columns, what is the third set of fi ve deletions? Last month’s solution Toby’s tank teaser The water has a ACROSS 45 The ideal fashionable young US female of the 1890s, volume V equal to 5 sticks. Let a stick 11 In Scotland, long-winded or boring (10) as portrayed in Charles Dana’s pictures (6,4) have length x and base area y2. In each 12 Since 1st April 2021, retailers have to charge 10p for this 46 Otherwise expressed, tender name (10) scenario, the water volume V is the single-use carrier (7,3) DOWN tank base area 3x2 times the water 13 Town in the wine-producing area of Anjou at the 1 Assignation of numerical values to letters of the Hebrew height (y or x), minus the total volume confluence of the Loire and the Thouet (6) alphabet (8) of the submerged sticks. So V = 3x2y 14 They “hang by the wall,” according to Shakespeare 2 Mozart’s K522, for two horns and string quartet (3,13,5) – xy2 = 3x3 – 7xy2. So 2y2 + xy – x2 = (2y in Love’s Labour’s Lost (7) 3 Ball made of wood which is used in some games (4) – x)(y + x) = 0. The only solution is y = 15 The thirty-mile long sea loch on which Fort William 4 Crudely broken stones used as primitive Stone Age tools (7) x/2 which means a stick has volume xy2 stands (6) 5 Passage in an oratorio, set for one voice and continuo (10) = x3/4 and the water has volume 5x3/4, 16 2001 film based on John Bayley’s memoir of his 6 Where design and decoration come together to create fi ve times the stick volume. novelist wife (4) useful and beautiful objects and ideas (7,3) 17 Artur …, Austrian pianist (1882-1951) noted for his 7 The slow movement of a csárdás (5) interpretations of piano works by Beethoven and concertos 8 Location of Napoli, Firenze and Torino (6) by Mozart (8) 9 Henri Murger’s collection of related stories, all set 18 Roy … played Adam Dalgliesh in the TV series of PD in the Latin Quarter of Paris in the 1840s (6,2,2,3,2,6) James’s novels (7) 10 North Carolina (3,4,5) 20 Deficient, not good enough (7) 17 Parasols or awnings (9) 21 Portable Japanese grills (8) 19 Ossau-Iraty, Salers and Brocciu, eg (7) 23 “To be” in Latin (4) 22 The imaginary Himalayan valley in Lost Horizon 25 Grade II-listed building in the Strand where the première by James Hilton (7-2) of the musical Chicago took place in November 1997 (7,7) 24 East End district in Tower Hamlets or Alex …, 27 Movable image on film (6) goalkeeper for Manchester United from 1966 to 1978 (7) The generalist prize 28 In card-playing, made a higher bid than (6) 26 The apple of Sodom which was fair to look at, The winner receives a copy of The 29 World’s third largest island country, in Oceania, capital but which turned to ashes when touched (4,3,5) Bomber Mafia: A Story Set in War Port Moresby (5,3,6) 30 Plant of the rose family, such as silverweed and the by Malcolm Gladwell 32 …-sur-Alzette, the second largest town in Luxembourg (4) barren strawberry (10) Enigma & puzzles prize 33 Lathyrus odoratus (5,3) 31 Welsh pop group which had a number one hit with (If The winner receives a copy of How Do 34 Surname of Alice, the “muse” of Lewis Carroll (7) Paradise is) Half as Nice in early 1969 (4,6) You Fight a Horse-Sized Duck?: And 37 “The Green City in the Sun,” the capital of Kenya (7) 35 Chinese-born concert pianist who carried the 2012 Other Perplexing Puzzles from the 39 The water boa; a 1997 film starring Jennifer Lopez as Olympic Flag through Hornchurch in July 2012 (4,4) Toughest Interviews in the World film-maker Terri Flores looking for a forgotten tribe in 36 In fencing, a warning to assume a defensive position in by William Poundstone the Amazon jungle (8) readiness for attack (2,5) How to enter 40 1,000 mile-long river in northern Bolivia which passes 38 Italian composer and pianist (1866-1924) noted for his Send your solution to through the Madidi National Park (4) transcriptions of Bach’s piano works (6) [email protected] or 42 Bursts forth suddenly (6) 41 La Neige en ..., novel by Henri Troyat, made into the 1956 Crossword/Enigma, Prospect, 2 Queen 43 East African country bordering the Red Sea, Djibouti and film The Mountain starring Spencer Tracy and Robert Anne’s Gate, SW1H 9AA. Include your Sudan and with a long-disputed boundary with Ethiopia (7) Wagner (5) email and postal address. Entries must 44 Jewish communities scattered across Europe (6) 44 Caravanserai or an ancient Persian governor (4) be received by 2nd July. Winners announced in our Aug/Sept issue. Last month’s solutions. Across: 1 Macgillicuddy’s Reeks, 13 Ring of Gyges, 14 Serigraph, 15 No Angel, 16 Drill sergeant, 17 Extreme heat, 18 Dachshund, 19 Fargo, 20 Gerund, 21 Gross pay, 24 Religieuse, 26 Ribbon tree, 29 MacNeice, 31 Garret, 32 Oxter, 35 Last month’s winners Aleatoric, 37 Lesser scaup, 38 Ingrid Bergman, 39 Nilotic, 40 New Street, 41 Schwärmerei, 42/36D Inverness Caledonian Thistle. The generalist: Dennis Cotterell, Carlisle Down: 2 Ann Carter, 3 Georgie Porgie, 4 Legal beagle, 5 In God We Trust, 6 Unstinting, 7 Displode, 8 Streetcar, 9 Engages, 10 Enigma: Philip Welch, Bristol Kuala Lumpur, 11 Prince of Grammarians, 12 The Teddy Bears’ Picnic, 22 Song of Solomon, 23 Jim Rosenthal, 25 Luckengowan, 27 Download a PDF of this page at Between-maid, 28 Early Music, 30 Caribbean, 33 Trattoria, 34 Accretes, (36 Thistle). prospectmagazine.co.uk Z3_Puzzles_July21.indd 85 03/06/2021 15:12.

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