The sun. [volume] (New York [N.Y.]) 1833-1916, 1915-02-07

This is a nullo so there are no ,rumps
and Il is In the lead Y and u under
take to force three tricks on and b
under the condition that the diamond
shah not be led originally.
The interesting part of this position is
that the transposition OF the small clubs
In the hands of \ and u makes two
lines Of attack perfectly sound which
were not sound In either Of the previous
settings and makes one unsound which
was sound before. one Of the sound
attacks that would not solve either 3OS
ur $40 Ia the diamond lead and the other
: The return Of the spade from VS. hand
after he wins the first club trick with
the ace. The attack which is now UNI
sound for 3l2 is the return Of the dia-
mOnd after winning the first club.
That so remarkable series OF
changes could be made i'm "A seven-Card
problem by the transportation Of two in
significant cards Is almost incredible.
hut nullos are wonderful things.
The diamond opening. which Dr. slam
admits via solve 2l2 but not sos
or $40 shows what "a difference the
number Of spots on n small card may
make I'm q uullO. \ number Of cor
respondents wrote to say that they could
not force three tricks on and b I'm 3l2.
most as many insisted they could do 30
without transposing the small clubs
Here is the analysis that shows the
diamond opening is unsuund In SOS and
80.
n Il starts with the two high dia-
monds. AS discard is the club Jack. =
switches 70 the heart for the thrd
trick. \ puts on the nine and leads the
six, and IL does not matter what Y keeps
II pef "A
Y has a spade, \ leads one. II has
no spade. 4 leads the club seven.
II leads a third round of diamonds
at once, As second discard is the small
heart, in $40. not the nine. IN sos he
can discard the nine. Wheu 'ins the
third diamond he leads a hca 'Ntting
\ In. As before II Y has 80, A
leads il II not. \ leads the c,.J seven.
In No. eos when \ discards the heart
nine, h leads the seven and then the
club eight. II u shifts to the trey OF
diamonds for his second lead. y re-
turns a diamond.
But the diamond opening will solve
3l2. because u leads three rounds
at once. and Y dscards his two high
clubs, no matter what A does. Now IL
Il leads heart and \ wins il to come
back with a spade leads the nine Of
clubs. So thar y shall take IL with the
queen and stick \ with the four. II b
comes back with club. Y plays the
queen and leads the four, so a. to give
y a spade discard. Then 4 or must
win a heart trick.
This being rather obvious 90 was
barred as solution fur 3l2. and the
authors solution is 20 lead the small
club upon which A. Of course. plays
the seven and which wins with the
king. Tn, return Of the diamond viii
not solve this problem as 10 did sos be
caus" 4 does not hold the king of clubs
with which to take the lead away from
\ and lead the small diamond To y
To solve 3l2, Y leads ;he spade which
would not solve 3OS or $40. although one
solver sent I'm sixteen variations TO
prove that II would, and many gave
that continuation as sound. u defeats
this attack In 3OS and 3i0 by a club
discard In 3l2. IL he dscards a club
the reason for transposing the tivs and
four Of clubs becomes apparent.
Il discard the eight Of diamonds and
. Y leads In" nine, which r wins with go
ten, so ~ to lead the heart II puts
on the nine he must win two hearts
and then q club, or he must win the
heart and lead club at cnce, which
. allows u 10 stick y with two dil-
mond tricks.
II \ lets y win the Geart trick b
may lead a diamond and let discard
a heart. but Y gets rid % the high
club and 4 must win a trick with the
five Of clubs at the end. II y leads
a club after winning he heart u PAYS
small ana II \ ducks Y wins with the
king and sticks \ with q heart, giving
q 4 discard OF his high club, and again
A is stuck with the five.
To go back, suppose u disCards the
heart seven on the spade lead, stll
discards the eight of diamonds, wins
the next trick with the ten and leads
tho trey. after which A must win
TWO hearts or a heart and a club II
b discards diamond on the spade
lead rs play IL the same. two rounds
Of diamonds
The heart attack having been ex-
planned and admitted last week and
the diamond barred. those who got IN,
club opening are alone entitled to credit
for solutions. These are:
-. Perry. George T.. Hempel, f. NJ
Frost, W. T.. W, \, l. Strashurger. l.. :
Hart, Jr.. f. II. Fairfield. 300 Chestnut
Walker McMattin, Chas NJ. Root, D. \
W, Roscoe G. Harris e. @. Braine
Henry Andersen, G. +. Johnson, O, II
Boston and II, c. Kennedy.
Several remark on the endless com
phCations of this position. e. f. johnson
says: ~ Jay Reed can do all this wit
IS cards, what could he do with the full
pack walker MCMartin says "Thes'
nullos OF Reeds are very fine" n. &
Kennedy SAYS: This Is a peculiar com
position, ana very deceptive | was sur,
the diamond lead would solve an three. .
"NOw," says the bystander, after
taking DR. slams money 81 want t.
say that | saw that game and that the
layout OF the cards was the one you
had at the start which YOU thought
couldn't be done. You have demon,
strated that every opening IL sound fcl
one position and unsound for another
and that It IL impossible to force three
tricks on A and b in the original dis
trhution,"
But / admit now that the hear
! opening win solve them all" objected
the doctor, III properly followed up
"Theu We will bar the heart open,
ing, Just ~ YOU barred the diamond IN
the last i'pout, and I'll bet YOU nifty