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280 RETRACIOR<br />
rhe chinged posnion lorward moves (indicared bt<br />
a plus sig.) rrc playcd. lhc sidc that rclracts thc<br />
lasl sinele move (usually While) bcgins thc foNard<br />
play <strong>The</strong> earliest relraclor invohing RErkoGe{Dt<br />
ANALysrs Nas b! the English conposer Fra.cis<br />
Chancs Collitrs (llj43-!8). In aturs P.arl-r,<br />
1881. he pubhhed the lollowiDg posiiion (givcn i.<br />
rosv'd \oh1'o!) 4N3/P4plpPB5k/PB:lKR?/<br />
1N,II1]8,'PPP,IQ/R7. Wbne n 1o retract his lasl<br />
dore and !i!e checkn.te instead His lasr nove<br />
must harc b.ci a capturc (or Bla.k Nould havc<br />
hccn in xLrRo'srllLnart) and il mun have beena<br />
capture ofa paln on g5 (Blackssevenpiecesaad<br />
bis pnw.s east ol rhe lli!e qere capluiednreviously<br />
hy thrcc Nhilc raw.s oow on thc a.61e.) As Black<br />
has madc no captures hh lasl nove must have been<br />
Pg7 95. White retracts Rg8rg5 add plays hxg5ep<br />
nale. Al rhe e.d ol rhe l9rh .entury uarRD<br />
conposcd mant rctrac<strong>to</strong>n ola knrdthatcould be<br />
callcd help{elrac<strong>to</strong>B: either in the relracled<br />
movesorin tbe lor*ardplayorinbolh Blackbelps<br />
Whne ro lulril rhe nipulations Inleresi in thcs.<br />
Composeb preferred rlefensive relracloF in<br />
qhich Black (pcrso.ilicd) sould, il it w$c po$<br />
sible. preve.l White f.om lrliuinS lhe slipnia'<br />
lions. Two kinds oldelensive relraclor naned after<br />
thc Romanian comFser z Proca (b. 1903) and<br />
the Dadish composcr Umro Niek Hoeg (187G<br />
i951) respectively were oiginated in the 1920s.<br />
Sereral moles may be refacted bul only o.e<br />
Iorward oore is played. so thal the emphasn is<br />
.cntrcd o. thc rciraction play, $hich oftcn i.-<br />
volves retrograde analysn. In lhe Proca relractu<br />
the side reracti.g a move d.cides which n!n, ir<br />
any, has bcen uncaptured <strong>by</strong>that movc.ln a Hdeg<br />
retrac<strong>to</strong>r, hosever. shen one side makes a<br />
relraclion tbe olher side chooses wbich man, ilany.<br />
may hale been uncaplured- a less narural butrore<br />
{2,<br />
%.affi<br />
%<br />
Aretrac<strong>to</strong>r<strong>by</strong> (oRol(ov. r?c,r.r,./r, 1963 As i.<br />
lhe preliols examnlc Blacks rctactions arc<br />
lbrccd but alicr Whitei 6rn retracied move 1<br />
Ke1 hl Black has three choices: ifhe adds ablack<br />
knight al hl and ierracrs I ND hl+ whlt.<br />
rerracis 2 0 l), and plays lhc foNard morc I Rh8<br />
m.tc:if Bla.krctrach l . Nb6 c8+ Whiteadds<br />
ashitequeenat.S,retra.tszOcS cS,andplaysl<br />
Ql8nalerif Blackrefacrs l . Bb! a7+ whire<br />
.dds a whire knighr ar a7. rclra.rs 2 Rc7-1,. and<br />
RE1ROGRADE ANALYSIS. .r relro anallsis,<br />
discovery of the play that would icad <strong>to</strong> a gilen<br />
position- . subjecr ol interesr <strong>to</strong> composeN.'lhc<br />
objcct frav bc r. discover wheLher a posiiion is<br />
LEC^L. whose tur. ii is l. tlay. thc l.st mo\e or<br />
moves thal have been plated Gee L{sr KrvE<br />
PRourFM), sherhei ce ain noles can be retra.ted<br />
G* RErRA.aoR). Nhcth* .asdnrg is illegnl- or<br />
rvhelher the last move lo have been playcd pcrmih<br />
an EN PASSANrcaPlure. So called problems with.,<br />
pdrMn. kcys, but la.king retio analylical proot.<br />
Nere conslructcd in thc l840sl thcsc rr. puzzlEs,<br />
not probleBs. In the 1850s a fer simtlc rctrognalttical<br />
problens {ere composed, bnt rhere Nas<br />
littl. ad!.ncc until roro 6ade his Sourenn<br />
problem in 1894. It xas lh. rc-public.ti.n oi Lhis<br />
problem. inD.,8.n€S./,d.rz.nutr!, 1907. that Lcd<br />
<strong>to</strong> an exte.sivc dcvelopmenr ot the art oI rerro<br />
grade anall5n. notably <strong>by</strong> DAwsoN, the Danish<br />
composer Unro Niels H{,cg (18?6-1951), the<br />
German conposer Wolfgang Ilu.dsdorfcr (1879-<br />
1951). and rRolrzni subsequently.tRl^Nr. BLr.<br />
and prA(srN b.cam. exterh in this lield.<br />
+ 4 +l Prd€<br />
A rerador bl lhe SNednh composcr Custav Nih<br />
ln.$on, ErtiLr,z drrircn. 1939. While beeins<br />
the reira.tions. I cxbsep Pb7 b5 2 Rb6 a6<br />
Pb,l b3 3 Keri e? 0-0-0 4 exNlE=B. and in lhe<br />
.ha.gcd posiriod (r3kn2/pppNPlpl/lRp1KP2/<br />
2PlP3/lpP5/24) while plays exf8-O mate. AII<br />
Black s retraclions wcrc iorced upon hin.