The Guardian - 03.08.2019

• The Guardian Saturday 3 August 2019

54

Puzzles

Ye ste r d ay ’s

Quick crossword

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Chris Maslanka

Solutions

Sandwich sudoku

Medium

Place the digits
from 1-9 in each
row, column and
3x3 block.
The clues outside
the grid show
the sum of the
numbers placed
between the 1 and
9 in that row or
column.

Quick crossword no 15,363

1234567

8

9

10

11 12

13 14

15 16 17

18 19 20

21

22

23

24

Across
1 One-wheeled compartment
attached to a motorcycle (7)
8 Chicken house (3,4)
9 Period (1811-20) covering The
Madness of King George III (7)
10 Adolescent (7)
11 Open space in wood (5)
13 Old fl ag signalling system (9)
15 Expensive leather from reptiles (9)
18 Panic (5)
21 Break (7)
22 Seclusion (7)
23 Large South Pacifi c region (7)
24 Sideboard with shelves on top (7)

Down
1 Tiny branch (5)
2 Non-evidence based opinion (5)
3 Snooty (13)
4 Beat (6)
5 Tale opener? (4,4,1,4)
6 Vegetable with eyes (6)
7 Each (6)
12 Cut of meat from the lower back (4)
14 Loud growl (4)

15 Large group of fi sh (6)

16 Working together (6)

17 Data input device for computers etc

(6)

19 Collect (5)

20 Town’s ceremonial head (5)

Solution no 15,362

FARMHANDS P M

XOP IMENU

MINTSAUCE T L

SHTTGRIT

SCGHOULOI

HOOK E Y ME R LOT

AMT V E U

DUMDUM GERUND

OOPUPILME

WINE T F S T

BLSANTACRUZ

OVAL T E A B

XWTEDDYBEAR

Pyrgic: 1 The fi rst a in drama (stress

on the fi rst syllable) is long; it is short

in dramatic (stress on the second

syllable), and dramatist (stress on

the fi rst syllable). Vowel quantities

(and qualities) and stresses change

in English as we put a word through

its cognate forms. We don’t learn this

by following a set of rules, but pick

it up by speaking and developing

an ear for it. When I was at school,

last century, if we said mountainous

without reducing the “ai” to an “uh”

we were corrected; similarly if we

said dramatised as drarmatised. But

no-one likes to be seen correcting

anyone nowadays. No doubt that is

one reason English is in such a state

of fl ux today— not a good sign, in

Pedanticus’s view.

2 The trick is to think of the Goodies

as separators. There are G + 1

positions altogether that can each

take exactly one of the B baddies.

[That is, G − 1 between adjacent

pairs of Goodies; and the head of the

queue and the end of the queue.]

The number of ways of ordering the

G goodies is G!; the number of ways

of locating the fi rst Baddie is G + 1;

but once one is located the vacancies

become one fewer; so the number of

ways of locating B baddies is (G + 1) ×

G × (G − 1) × (G − 2)... to B terms. This

can be written (G + 1)!/(G − B + 1)!;

this gives a total of G!(G + 1)!/(G − B +

1)!. For G = 7, B = 4 we get 8,467,200.

3 Can you see that the triangle

AFBCD is a third of the

whole fi gure? And that

because FGH = EFH =

AEH the area EFGH is

the same as that of ADH

= a third of the triangle

AFD; so the

areas are: AHD

= EFGH = 1/9;

AEH = DGH

= 1/18. As in

our second picture FCB = AFC = ACD

we see ADC = 1/3, so GCD = 1/3 – 1/9 –

1/18 =1/6; so that BCGF = 1/2.

4 Probability Einstein pays is

1/8; that Bart Ender pays 3/8; that

Gullible Gus pays, 1/2.

Wordplay: Wordpool d), a), a);

Tom Swifties “ I have not put on

weight!,” said Tom stoutly; EPU

SACCHARINE; Curtailables a)

clover, clove; b) quartz, quart; c)

crowd, crow; d) plump, plum; e)

hate, hat; f ) planet, plane; Missing

Links a) cry/baby/steps; b) capital/

gain/say; c) root/cause/way; d) body/

double/down; e) ship/lap/dog;

AEFf ) safe/cracker/barrel.

G

D

H

AFB

DC

x

xx

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