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Archive for December, 2011

Variation on a Theme by Nibor

Posted by shirleycurran on 16 December 2011

What fun – right up to the final touch when we had to decide how to make a bat look sporty. I toyed with notions of Batman leaping off a building but, as ski season is just beginning here, decided that Nibor probably expected that sort of bat represented in a sporty and pictorial fashion. I don’t think bats usually smile but did my best to make this one look happy.

The Numpties solved Nibor’s Variation on a Theme steadily, grumbling just a little bit about the number of proper nouns, like OMAHA, YEAGER, OKINAWA, ERNANI, LHASA etc.  but we did enjoy some of the clues. ‘Mixture resulting from (half) a horse and sheep (7)’ A NAG + RAM and ‘Tarty (otter) could become 7s friend (5)’ (RATTY). (We had already worked out that MR TOAD was the ‘Reckless driver’s time (out) in travelling under motorway (6, two words)’ but that had taken some unravelling of the convoluted wordplay – T in ROAD under M).

There was plenty of generous cluing here too, with more than the usual sprinkling of hidden clues and anagrams, though the reason for several of these was obvious. We needed help to solve a clue like ‘Madonna (largely naked) conceals religious leader (5)’ NANAK with the ‘largely’ as the extra word. It is perhaps a good thing that solvers are so intent on discovering the solution that they barely give a thought to the surface reading of the clue. Well, really!

Those extra words were cunningly slipped into the clues but all at once one of my favourite authors leapt into view: ‘HOW I WOND…’ It could only be one thing … well, two. We had enough letters to identify ‘How I wonder what you’re at, Up above the world you fly’, and, after a moment’s consternation when we were unable to fit L. Carroll into the final eight letters, remembered that he was the Reverend Charles Dodgson.

Of course, once the extra letters have all been discovered, solving speeds up and we soon had a complete grid and a clash on the bottom line that unraveled itself to put a TEA TRAY into the SKY.

Almost finished! Just the preamble to decipher. Clearly our sporty bat had to be drawn in the small square in the centre as he was the topic of Carroll’s ‘Variation on a theme’ – no problem. Just TWINKLE TWINKLE left to find. ‘The first two words of a four line verse are included in the completed grid in a manner representative of the original theme and must be highlighted.’ That, in the Misses Taylor version that Carroll was satirising was ‘Twinkle, twinkle little star, How I wonder what you are, Up above the world so high, Like a diamond in the sky.’ So were we looking for something like a diamond, for a star, for something above a world or just ‘Twinkle’ somehow hidden?

OK, I admit that it took us another day to get to the final highlighting. We coloured all the TWINs and KLEs in the grid and hunted for stars upwards, downwards, backwards,  circling, twinkling on every second light in every direction and on every diagonal – and found a few – Uranus is lurking in there and so are Mir and Orion (Yes, sir, I know it’s a constellation!) However, Erwinch’s warning always lingers in my mind. If it isn’t clearly right then it isn’t the solution. The Editors would never have accepted a crossword that required lots of funny little moon-shaped half words to be highlighted as the final move.


Wait a moment though. Why was that ‘TW IN KL E’ spread out on rows like that? Memories of childhood piano lessons come back. Why was this catchy little tune one of the first in Book One. Of course! It ran down the notes in order with a nice final thump on ‘ARE’. A quick Google hunt produced the music and we had to give Nibor full marks for ingenuity.

Very enjoyable, thank you, Nibor!

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Listener 4166: Nibor’s Variation on a Theme (or What Sort of Bat?)

Posted by Dave Hennings on 16 December 2011

Nibor is a regular, if infrequent, Listener setter whose first puzzle dates back to 1975! Many had a musical theme, but not this week … or so I thought. Here we had a poem to be found with the help of the initials of extra words in clues. That sounded straightforward, but unfortunately there were clashes in the grid. I always find these tricky, but there were only two of them, so I relaxed a little.

This relaxation did not last long, as the across clues yielded few answers, and the down clues even fewer. 18ac OKINAWA was the first that I solved: I always like well disguised hidden words where the extra letter or word is in the middle of the sequence (here it was wOK [enterprise] IN A WArehouse). Next came 32ac EIGHTEENTH, a simple anagram, 40ac CANT, 42ac ORION (nice extra word “tame animal”, and 46ac EAT. Lastly in the acrosses was 47ac Tarty otter could become 7′s friend which looked like it should be RATTY. This helped me with 7dn Reckless driver’s time out in travelling under motorway, which I originally thought should be ROAD HOG (too many letters), but was obviously MR TOAD.

Needless to say, 26dn and 38dn caused me a problem later on, since by the time I’d worked my way down to the bottom right corner, I’d completely forgotten about those two damned clashes. I need to devise a method for the future so that I keep all aspects of the puzzle, especially the clueing, fresh in my mind, or perhaps written on a crib sheet by the puzzle.

I reached the point where the initial letters of the extra words in clues resulted in the last few downs yielding C • O D G S O •, and Lewis Carroll was revealed as the author. It didn’t need much to fill in the gaps I still had for the across clues to reveal the middle two lines from:

Twinkle, twinkle, little bat!
How I wonder what you’re at!
Up above the world you fly!

Like a teatray in the sky.

Carroll seems to have been an early exponent of the modern day usage, especically in text-speak and emails, of frequent exclamation marks, although why he refrained from using one at the end of the last line, which is the most bizarre of the four, is beyond me! (Sorry!) For some reason, the last line reminded me of the late, great Douglas Adams’s line in The Hitchhikers Guide to the Galaxy, describing the Vogon Constructor Fleet: “The ships hung in the sky in much the same way that bricks don’t.”! (My exclamation mark.)

Eventually the grid was completed, with the clashes in the bottom line resolved to read LIKEST EAT RAYKY, representing the last line of the verse, LIKE + TEATRAY in SKY.

Listener 4165There were some tricky clues on the way (definitons in bold, and extra words in square brackets):

5ac LYM Will’s bloodhound could be hovering [over] clipper if in the Faroes
would be a hovering clipper if in FO, ie FLYMO; tricky for foreign solvers, even though it’s in C?
20ac ENTRY Hounds ready for training [reject] half of mutton to annoy
a mutton is a word for an em in printing, and half an em is an EN
25ac NISSES Busses, with first three further on, attract friendly creatures
KISSES with first (short pause) three letters advanced
32dn ENROLL Jonathan’s to register green Rolls, partly [open-topped]
Jonathan is a word for Americans that I haven’t come across before
38dn E-BOOK Tablet on Mac (familiarly) [negates] thumbs-up for text on iPad, say
E (tablet, ie ecstacy) + BO (Mac, meaning bloke) + OK (thumbs-up)

 
Next, we had to highlight the first two words of the verse in the grid in a manner representative of the original theme. Well, it was easy enough to spot INKLE TWINKLE running left to right in the top six rows of the grid, and TW was a bit further down. The trouble was that there were different combinations of TW and KLE that could be highlighted and it wasn’t immediately clear which were correct. In a manner representative of the original theme from the preamble was obviously intended to define the correct option. Was it referring to Twinkle, twinkle little star? There was no way that a five- or six-pointed star could be formed, that I could see anyway. And how could it be made to represent a teatray?

I have to confess that it was only after keying the grid into Sympathy, and staring at it on and off several times, that the penny finally dropped. The correct highlighting represented the notes on the scale as used for the original lyrics, the French melody Ah! vous dirai-je, Maman. Each letter represents one note, the two Es representing the longer ones:

Twinkle Twinkle

And lastly, the first two lines of the verse had to be represented in the central large square in a sporty and pictorial fashion. I had always thought that Lewis Carroll had the flying mammal in mind, rather than the cricket club. Either, with a bit of a stretch, could be imagined as a teatray. But we were told sporty, so, unless there is a bizarre sport involving live bats (much as flamingos were used in croquet by Alice), a cricket bat was required. I’m guessing that a baseball bat might be accepted by the editors, but presumably only on entries from North America!

My entry would soon be off to John Green, but a final check of the grid was needed. I got to 2dn Mucker leaving Morocco over repeated [extortion]. I hadn’t fully resolved the wordplay, but a few minutes later, via muck → manure in Bradford’s, and I had MANURER (mucker) – MA (Morocco), reversed, giving the answer RERUN, not RERAN as I had originally entered. Wow, a lucky escape.

Nibor’s fine puzzle certainly wasn’t a piece of cake; I think it took me the best part of 4 hours to complete and was very entertaining.

Post postscript (Saturday)

I should just add that the time I have given above does not include how long it took me to work out the highlighting required for Twinkle Twinkle; that was certainly an extra hour or more.
 

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Listener: 4164 by Kea

Posted by erwinch on 9 December 2011

I should think that many of us got a surprise to find Kea as the setter of a numerical puzzle – did we know that he was into numbers?  Another surprise was the sparseness of the clues, just one or two digits except for two clues with three.  The number and title (4164) was used as an example of how the puzzle worked, the clue for which would be 4.
 
41 × 4 = 164 
The two numbers 41 and 164 partially overlap (never completely) to give the solution 4164.
 
This was the first time that I had seen a puzzle of this form and I found it entertaining but once I became used to the idea it was very straightforward.  I prefer to use just a calculator, pencil and paper for these puzzles but admit that I did use a spreadsheet (MS Excel) as an aid this time. This was not quite a coffee break Listener but Excel was ideally suited here and it was not too long before the grid was complete:
 
 
 
The starting point was 3dn where the clue was 10 (henceforth the clued multiple is given in brackets).  The two numbers involved would have the form xx and xx0 combined to give the entry xxx0.  We later learned that x must be even to accommodate a multiple of two at 8ac.  So, 12ac (34) also ended in zero and only one fit was found: 15 × 34 = 510: 12ac = 1510
 
Now looking at 13dn (2) = 1??.  The first number ranges from 10 to 19 and the second from 20 to 38.  12 × 2 = 24 but 13 × 2 = 26 so 13dn = 124
 
25ac (150) ended with zero and the penultimate digit had to be even to fit with 19dn (2) so 25ac = ???00.  17dn (8) and 18dn (3) put similar constraints on the first and second digits respectively.  Again only one fit was found: 46 × 150 = 6900: 25ac = 46900 and 17dn (12) (= ???4) could only be 2264
 
Some three-digit entries such as 21dn (2) (= ??0) could be found by mental arithmetic.  A multiple of five was involved and it could only be 250
 
The higher the clued multiple the fewer the options were and 22ac (14) (= ???6) and 16dn (47) next caught my eye.  Two possibilities were found: {22ac, 16dn} = {3476, 1846} or {6966, 1799}
 
The highest multiple used was at 1ac (171) where five fits were found: 1ac = 11881, 12052, 23933, 35985 or 36156.  But we learned that the penultimate digit had to be even to fit with 3dn and 8ac: 1ac = 11881 or 35985, 3dn = 8880
 
And so it went with just a few hitches where I had to backtrack a little.  The final grid entry was 23ac = 2855
 
All that was required was a quick check to see that all entries were different (a general rule that seems to be rarely used) and that was it – short but sweet.
 
However, before I went back to my reading I had a look to see when the puzzle number would last have fitted here.  I had rather been expecting, hoping even, that No.4164 would be the 9th annual Elap numerical in a row but shall not think of it as the end of an era just yet since 4164 was specifically reserved for this puzzle’s number and title.  For convenience, I shall call these Kea numbers and going back twenty odd years, from No.3000, there have been 29 such numbers to date:
 
 
 
Of these only 3750 was also numerical: A Faulty Calculator by Aedites (29th November 2003) almost exactly eight years ago.  The next Kea number is 4210, which is due to be assigned to a puzzle published on the 6th October 2012.  So this puzzle was presumably set some time after 2003 and indeed Viking may have had a hand in it.  It was just waiting for the right number to come along.
 
Here are the 30 Kea numbers that follow 4210:
 
 
 
I found a Website that told you how many Saturdays there are in any year up to 2038 and cross checked these with calendars up to 2040.  We average 52 puzzles a year.  There is no Listener if Christmas Day is a Saturday, which will cancel out the 365th day of the year, but Leap years will give us an extra puzzle every 28 years.  The 30 numbers above take us up to November 2040 and only one is due to be numerical - 4998 on 20th November 2027.  Starting in February this year the numerical puzzles were moved from the final to the penultimate Saturday in February, May, August and November.  The reason given was that they wanted to avoid the numerical puzzles falling on Bank Holiday weekends but this seemed unnecessary given their wide popularity.  I wonder, could the real reason be that they wanted to fit this puzzle in?  Under the old scheme, 4387 (27th February 2016) would have been numerical but perhaps that was considered too long to wait.   I am just glad to have them at all and do not really see the need for such a rigid timetable.  The only possible reason for it that I can think of is to placate the vocal minority who see no place for numbers in the Listener and would rather have them permanently removed from the calendar – they have no need to buy the paper on these dates.
 

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Listener 4164: 4164 by Kea

Posted by Dave Hennings on 9 December 2011

I’m guessing that 99.8% of us1 were not expecting Kea’s name to appear alongside our quarterly mathematical puzzle. Those who only do the mathematicals2 will be unaware of the awe with which Kea is held in the Listener crossword community3. With this puzzle, Kea joins the likes of Aedites, Brimstone, Piccadilly and Viking as setters who have dabbled in both types of Listener.

Listener 4164The first thing I noticed about the puzzle itself was that the clues were not of the (W + h + e – R)E * (T + O + S – t – A -R)T variety, but consisted of simple numbers, from 2 to 171. These numbers represented the multiplication factor to be applied to the first part of the entry to give the last part of the entry, each part overlapping the other by one or more digits. It took only a few minutes to work out how easy the puzzle was likely to be, at least with my simple calculator. First enter the factor (eg 171), press + and then press = repeatedly until the number of times it is pressed can overlap the display on the calulator. Thus 171 then + then = 11 times shows 1881, 12 times shows 2052 and 23 times 3933; this gives possible entries at 1ac of 11881, 12052 and 23933.

Listener 4164 My EntryI started off without making any notes, just to see how far I could get. I missed 11881, and 12052 led to a dead end! This delayed me for about ten minutes. I started making notes of the logic that I used. The grid was soon filled, pretty much clockwise from 1ac, 1dn, 8ac, 3dn. Even including the false start, the whole puzzle was done in an hour. If not making logic notes, I suspect many will have solved it in a considerably shorter time. I think it was the quickest time ever for me to finish a Listener, let alone a mathematical.

I know that there are some out there who think that a Listener is not a Listener unless it is on the tricky side of easy or has a neat little end game. Whilst I think most Listeners should be like that, the occasional easy offering is welcome, hopefully to encourage newcomers to our game. If nothing else, it makes this weekly blog so much easier to write, so thanks to Kea for that!

1 Everyone except Roger and Shane
2 Stanley Fenton of Harrogate
3 Everyone else
 

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4164 by Kea

Posted by shirleycurran on 9 December 2011


Astonishment as the numpties downloaded this week’s crossword. Kea! We have been wondering when his next delight was due and there aren’t many weeks left this year. But a numerical!

A straight-forward preamble for once.  ’Two numbers overlapping by at least one digit (but neither number entirely overlapping the other), where the second number is a multiple of the first’…

Where to start? Nine three-digit entries, fifteen fours, and four fives – no special hint there, but a three-digit can only overlap in one digit according to the rules. That’s fairly restrictive. The first digit can only be 11 to 99 and probably a lot less than 99 given the multipliers.

Immediately we know that the bottom right hand corner is a zero. 21d is a ‘multiply by 2′ so the answer has to be 250. (The numpties, as usual are beginning in the south-east corner.)Then 25ac, essentially a four-digit where the multiplier is 15, produces 46900 to intersect with that. And so are underway.

Just pencil and paper!

The curious multipliers 47, 34, 33, 31, 16, 14, 12 and 7 yielded quite quickly. The 2s and  3s sometimes had two possibilities. But, with a heap of paper, a pencil and a calculator, the solution took shape. The challenge was not fearsome. However, this was an excellent introductory numerical puzzle for people who have not attempted them before or who have been outfaced by them. Lots of us dread the numerical tri-monthly diversion and complain vociferously about it, so what a pleasure it was to have one that needed no skill with Excel, spread-sheets or computer programmes; one that could be solved by hard grind with a pencil and a heap of paper.

Kea should be commended for braving the critics and daring to produce a simple little numerical number that will undoubtedly encourage more people, like the numpties, to have a go at them. He is a clever setter, as we all know, and certainly didn’t produce this fine little thing because he is incapable of something more difficult (or ghastly). Thank you, Kea.

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