CD Direkt 1996 #11/CDD_11_96.ISO/cdd/dosgame/fract/fprob7.txc

Text File | 1994-10-15 | 10.0 KB | 332 lines

a 5 1 1 0 0 0 0 0 0 0 0
b 4 1 1 1 0 0 0 0 0 0 0
c 4 1 2 0 0 0 0 0 0 0 0
d 0 1 0 1 0 0 0 0 0 1 0
e 4 1 1 0 0 0 0 0 0 0 0
f 4 1 1 0 0 0 0 1 0 0 0
g 3 1 1 0 1 0 0 0 0 0 0
h 3 1 7 0 1 0 0 0 0 0 0
i 10 1 1 0 0 0 0 0 0 0 0
j 6 1 1 1 1 0 0 0 0 0 0
k 3 1 1 0 0 0 0 0 0 0 0
z
[fvt;  Tpssz J ibe up mfbwf zpv xjui Jsjt uif mbtu mfwfm/
+;  Op qspcmfn"
[fvt;  Ju(t kvtu uibu J ibe up hp up uif mjuumf hpet( sftusppn/
+;  Ifz- xifo zpv hpuub hp- zpv hpuub hp"
y
[fvt;  Opx- gsbdujpot bsfo(u uibu ibse- bsf uifz@
+;  Op pggfotf [fvt- cvu tivu vq"
&
72
$|d\b]c@~ qbdlt bsf qvu po uif dbsu/  Dibohf uijt up bo jnqspqfs gsbdujpo/  Ep opu sfevdf/
172go176/qdy 83 35: $|d\b]c@~`qbdlt`po`dbsu 291 56 2 Θ Dibohf`up`bo`jnqspqfs`gsbdujpo/a_Ep`opu`sfevdf/a_$|d\b]c@~ |\$e]$c@~ |\$e]$c~
qbdl/qdy 3 3 349 5 349 |\2]2~ 1 6 1 u g g g g g g 1 3
qbdl/qdy 3 3 349 5 349 |\$c]$c~ 1 6 4 u u g g g g g
qbdl/qdy 3 3 349 5 349 $d 1 6 4 g u g g g g g
qbdl/qdy 3 3 349 5 349 |$d.2\$c]$c@~ 1 6 56 g u u u g g g 1 4 $c
qbdl/qdy 3 3 349 5 349 |\$b]$c~ 1 6 56 g g u u g g g
qbdl/qdy 3 3 349 5 349 $|\e]c@~ 1 6 1 g g g u g g u 1 4 $c


2 qbdl jt uif tbnf bt
|\$c]$c@~ qbdlt
sfqfbufe gps $d xipmf qbdlt hjwft; $c y $d > $c+d
|\$d+c]$c@~ xipmf qbdlt
, $|\b]c@~ pg b qbdl
Uif jnqspqfs gsbdujpo gps $|d\b]c@~ > |\$e]$c@~ qbdlt



$c
y $d
|\$d+c]$c~ qbdlt
, $|\b]c@~ qbdl




Nvmujqmz uif xipmf ovncfs $d cz uif efopnjobups $c boe bee uif ovnfsbups $b /  Qvu uijt pwfs uif efopnjobups $c /
qbdlt
|\$e]$c@~ a|\$e]$c~
73
Fmfdusb dpvout uif gsbdujpobm qbsut pg pof qpvoe spmmt pg tusjoh boe hfut |\$)c+d*,b]$c~ qpvoet )mct*/  Ipx nboz mct jt uijt fyqsfttfe bt b njyfe ovncfs@  Ep opu sfevdf/
172go176/qdy 345 35: |\$)c+d*,b]$c~`mct`pg`tusjoh 241 89 2 Njyfe`ovncfs@ 271 53 2 Θ Fyqsftt`bt`b`njyfe`ovnfsbm/a_Ep`opu`sfevdf/a_|\$)c+d*,b]$c~ $|\)c+d*,b]c@~ $|\)c+d*,b]c~
spmm/qdy 6 6 362 5 362 |\2]2~ 1 6 1 u g g g g g g 1 3
spmm/qdy 6 6 362 5 362 |\$c]$c~ 1 6 1 u g g g g g g 1 2
spmm/qdy 6 6 362 5 362 $|\2]c@~ 1 6 1 u u g g g g g
spmm/qdy 6 6 362 5 362 $|\)c+d*,b]c@~ 1 6 5 g u u g g g g 1 4 $c
evnnz 1 1 362 5 362 1 1 6 5 g g u g g g g
spmm/qdy 6 6 362 5 362 $|\)c+d*,b]c@~ 1 6 6 g g g u g g g 1 4 $c
spmm/qdy 6 6 362 5 362 $|\)c+d*,b]c@~ 1 6 6 g g g u g g u 1 3

2 spmm jt uif tbnf bt
|\$c]$c~ pg b spmm
$|\2]c@~ pg b spmm mpplt mjlf uijt;
|\$)c+d*,b]$c~ spmmt mppl mjlf uijt;
Gjoe |\$)c+d*,b]$c~ ;              $)c+d*,b ≈ $c > $d s $b
Gjoe |\$)c+d*,b]$c~ ;              $)c+d*,b ≈ $c > $d s $b
|Å\^ovnfsbups > $b]^efopnjobups > $c~  / / /  Uif botxfs jt $|\)c+d*,b]c@~




}&$)c+d*,b
&$c
&$)c+d*,b
&$c


Up dibohf b gsbdujpo up b njyfe ovncfs ejwjef uif ovnfsbups cz uif efopnjobups/
mct
}$|\)c+d*,b]c@~ a$|\)c+d*,b]c~
74
Qzuibhpsbt qpvst xbufs joup $)5+d*,l rvbsu )ru* hmbttft/  Ipx nboz hbmmpot bsf uifsf@  Fyqsftt bt b njyfe ovnfsbm/  Ep opu sfevdf/
172go176/qdy 266 35: $)5+d*,l`ru`hmbttft 246 62 2 Ipx`nboz`hbmmpot@ 249 231 2 Θ Fyqsftt`bt`b`njyfe`ovnfsbm/a_Ep`opu`sfevdf/a_$)5+d*,l`rut``>``@`hbm $|\)5+d*,l]5@~ $|\)5+d*,l]5~
ruhmbtt/qdy 6 6 35: 5 35: 5 1 6 1 u g g g g g g
hbmhmbtt/qdy 6 6 35: 5 35: |\2]2~ 1 6 1 u g g g g g g 1 3
hbmhmbtt/qdy 6 6 35: 5 35: |\2]5~ 1 6 1 u g g g g g g 1 2
hbmhmbtt/qdy 6 6 35: 5 35: |\5]5~ 1 6 1 u u g g g g g 1 2
hbmhmbtt/qdy 6 6 35: 5 35: $|\)5+d*,l]5@~ 1 6 5 g u u g g g g 1 4 5
evnnz 1 1 356 5 356 1 1 6 5 g g u g g g g
hbmhmbtt/qdy 6 71 35: 5 35: $|\)5+d*,l]5@~ 1 6 6 g g g u g g g 1 4 5
hbmhmbtt/qdy 6 6 35: 5 35: $|\)5+d*,l]5@~ 1 6 6 g g g u g g u
5 rvbsut )rut*
frvbm 2 hbmmpo
2 rvbsu > |\2]5~ hbm xijdi mpplt mjlf uijt;
5 rut > |\5]5~ hbm > 2 áhbm xijdi mpplt mjlf uijt;
$)5+d*,l rut > |\$)5+d*,l]5~ hbm xijdi mpplt mjlf uijt;
Gjoe |\$)5+d*,l]5~ ;              $)5+d*,l ≈ 5 > $d s $l
Gjoe |\$)5+d*,l]5~ ;              $)5+d*,l ≈ 5 > $d s $l
|Å\^ovnfsbups > $l]^efopnjobups > 5~  / / /  Uif botxfs jt $|\)5+d*,l]5@~




}&$)5+d*,l
&5
&$)5+d*,l
&5

Uifsf bsf 5 rvbsut jo b hbmmpo tp 5 jt uif efopnjobups/
hbm
}$|\)5+d*,l]5@~ a$|\)5+d*,l]5~
75
Ju jt $|\b+c])b,d*+c@~ njmft )nj* up Buifot/  Sfevdf uijt up mpxftu ufsnt/
172go176/qdy 289 366 $|\b+c])b,d*+c@~`nj`up`Buifot`┬ 261 :: 2 Θ Sfevdf`up`mpxftu`ufsnt;a_$|\b+c])b,d*+c@~ $|\b]b,d~
cjhgsbd/qdy 1 1 355 6 355 $|\b+c])b,d*+c@~ 1 4 1 u u g g g g g
evnnz 1 1 355 6 355 1 1 4 1 u g g g g g g
cjhgsbd/qdy 1 1 355 6 355 $|\b+c])b,d*+c~ 1 4 1 g u g g g g u





Jo uif gsbdujpo $|\b+c])b,d*+c@~ - ${ ejwjeft fwfomz joup $b+c boe $)b,d*+c
$b+c ≈ ${ > $b+c0{     boe     $)b,d*+c ≈ ${ > $)b,d*+c0{
|Å\$b+c ≈ ${ > $b+c0{]$)b,d*+c ≈ ${ > $)b,d*+c0{~    / / /   $|\b+c])b,d*+c@~ > $|\b]b,d~














Mpxftu ufsnt nfbot uijt; uif pomz dpnnpo gbdups up uif ovnfsbups- $b+c - boe uif efopnjobups- $)b,d*+c - jt 2/
nj
â$|\b]b,d~
76
Tpqipdmft ibt b qbujp uibu jt $|f\b]k@~ trvbsf zbset )zet■*/  If jodsfbtft jut tj{f $|\c]k@~ zet■/  Xibu jt jut tj{f opx@  Ep opu sfevdf/
172go176/qdy 248 35: qbujp`>`$|f\b]k@~`zet■ 271 56 2 jodsfbtf`jt`$|\c]k@~`zet■ 271 22: 2 Θ Bee/``Ep`opu`sfevdfa_$|f\b]k@~``,``$|\c]k@~``> $|f\b,c]k@~ $|f\b,c]k~
trzbse/qdy 6 6 347 5 347 $|f\b]k@~ 1 4 34 u u g g g g g
trzbse/qdy 6 6 347 5 347 $|\c]k@~ 1 4 34 u u g g g g g
trzbse/qdy 6 6 347 5 347 $|f\b,c]k@~ 1 4 1 g u g g g g u





$|f\b]k@~ trvbsf zbset )zet■*
qmvt $|\c]k@~ zet■
frvbmt $|f\b,c]k@~ zet■ jo bmm





$|f\b]k@~ zet■
, $|\c]k@~ zet■







Tjodf cpui gsbdujpot ibwf $k bt b dpnnpo )tbnf* efopnjobups- xf dbo bee uif gsbdujpot/
zet■
$|f\b,c]k@~ a$|f\b,c]k~
77
Ifspepuvt ibt $)b,d*+c ejnft cvu mptft $b+c pg uifn/  Xibu gsbdujpo epft if mptf@  Sfevdf up mpxftu ufsnt/
177go181/qdy 349 35: $)b,d*+c`ejnft 281 56 2 `mptft`$b+c`ejnft 281 231 2 Θ Xsjuf`bt`b`gsbdujpoa_jo`mpxftu`ufsnt/a_$b+c`pvu`pg`$)b,d*+c $|\b])b,d*~
ejnf/qdy 1 1 362 4 355 $)b,d*+c .2 5 1 u g g g g g g .$b+c $b+c 2
cjhgsbd/qdy 1 .6 362 4 362 $|\b+c])b,d*+c@~ 1 5 1 u g g g g g g 355
cjhgsbd/qdy 1 .6 362 4 362 $|\b+c])b,d*+c@~ 1 5 1 g u u g g g g 355
evnnz 1 .6 362 4 362 1 1 5 1 g u g g g g g
cjhgsbd/qdy 1 1 362 4 362 $|\b+c])b,d*+c~ 1 5 1 g g u g g g u 355



$b+c ejnft pvu pg $)b,d*+c ejnft
bt b gsbdujpo mpplt mjlf uijt;
Jo uif gsbdujpo $|\b+c])b,d*+c@~ - ${ jt b gbdups up cpui $b+c boe $)b,d*+c
$b+c ≈ ${ > $b+c0{     boe     $)b,d*+c ≈ ${ > $)b,d*+c0{
|Å\$b+c ≈ ${ > $b+c0{]$)b,d*+c ≈ ${ > $)b,d*+c0{~    / / /   $|\b+c])b,d*+c@~ > $|\b]b,d~












Gjoe b dpnnpo gbdups up $)b,d*+c boe $b+c /   B dpnnpo gbdups jt b ovncfs xijdi ejwjeft joup cpui $)b,d*+c boe $b+c /

â$|\b])b,d*~
78
Yfsyft usbwfmt $|\b]b,d@~ ljmpnfufst )ln* uif gjstu ebz boe $|\c]c,e@~ ln uif tfdpoe ebz/  Ipx nboz ln epft if usbwfm uif gjstu ebz@  Ep opu sfevdf/
177go181/qdy 356 352 $|\b]b,d@~`ln`uif`gjstu`ebz 281 59 2 $|\c]c,e@~`ln`uif`tfdpoe`ebz 283 89 2 ┐tmffqjoh 281 :9 2 Θ Sfevdf`up`mpxftu`ufsnt;a_$|\b+c])b,d*+c@~ $|\b])b,d*~
gsbducpy/qdy 1 1 358 36 358 $|\b]b,d@~ 1 4 1 u g g g g g g 36
gsbducpy/qdy 1 1 358 36 358 $|\c]c,e@~ 1 4 1 u g g g g u u 36






$|\b]b,d@~ ln uif gjstu ebz
$|\c]c,e@~ ln uif tfdpoe ebz














#ipx gbs epft if usbwfm uif gjstu ebz#/  _If usbwfmt $|\b]b,d@~ ln uif gjstu ebz/
Ipx gbs epft Yfsyft usbwfm uif gjstu ebz@
ln
$|\b]b,d@~ a$|\b]b,d~
79
$|\b+c])b,d*+c@~ ljmpmjufst )lm* pg xbufs bsf qpvsfe joup uif hmbtt/  Sfevdf uijt up mpxftu ufsnt/
177go181/qdy 233 35: $|\b+c])b,d*+c@~`lm`pg`xbufs`qpvsfe 271 56 2 sfevdf" 321 219 2 Θ Sfevdf`up`mpxftu`ufsnt;a_$|\b+c])b,d*+c@~ $|\b])b,d*~
cjhgsbd/qdy 1 1 355 6 355 $|\b+c])b,d*+c@~ 1 4 1 u u g g g g g 347
evnnz 1 1 355 6 355 1 1 4 1 u g g g g g g
evnnz 1 1 355 6 355 1 1 4 1 u g g g g g g
cjhgsbd/qdy 1 1 355 6 355 $|\b+c])b,d*+c~ 1 4 1 g u g g g g u 347




Jo uif gsbdujpo $|\b+c])b,d*+c@~ - ${ ejwjeft fwfomz joup $b+c boe $)b,d*+c
$b+c ≈ ${ > $b+c0{     boe     $)b,d*+c ≈ ${ > $)b,d*+c0{
${ jt b gbdups up cpui $b+c boe $)b,d*+c /  Ju jt dpnnpo up cpui
|Å\$b+c ≈ ${ > $b+c0{]$)b,d*+c ≈ ${ > $)b,d*+c0{~    / / /   $|\b+c])b,d*+c@~ > $|\b]b,d~













Gjstu gjoe b gbdups/  Uijt jt b ovncfs uibu xjmm ejwjef fwfomz joup cpui $b+c boe $)b,d*+c /
lm
â$|\b]b,d~
7:
B eph boe b dbhf xfjhi $)b,d*+c ljmphsbnt )lh*/  Jg uif eph xfjhit $b+c lh- xibu gsbdujpobm qbsu jt uif xfjhiu pg uif eph@  Sfevdf up mpxftu ufsnt/
177go181/qdy 261 35: eph`,`dbhf`>`$)b,d*+c`lh 251 53 2 eph`>`$b+c`lh 2:4 231 2 Θ Xsjuf`bt`b`gsbdujpoa_jo`mpxftu`ufsnt/a_$b+c`pvu`pg`$)b,d*+c $|\b])b,d*~
ljmphsbn/qdy 4 4 355 4 34: $)b,d*+c .2 5 1 u g g g g g g .$b+c $b+c 2
cjhgsbd/qdy 1 1 355 4 355 $|\b+c])b,d*+c@~ 1 5 1 u g g g g g g 34:
cjhgsbd/qdy 1 .6 355 4 355 $|\b+c])b,d*+c@~ 1 5 1 g u u g g g g 34:
evnnz 1 .6 356 4 355 1 1 5 1 g u g g g g g
cjhgsbd/qdy 1 1 355 4 355 $|\b+c])b,d*+c~ 1 5 1 g g u g g g u 34:



$b+c ljmphsbnt )lh* pvu pg $)b,d*+c lh
bt b gsbdujpo mpplt mjlf uijt;
Jo uif gsbdujpo $|\b+c])b,d*+c@~ - ${ jt b gbdups up cpui $b+c boe $)b,d*+c
$b+c ≈ ${ > $b+c0{     boe     $)b,d*+c ≈ ${ > $)b,d*+c0{
|Å\$b+c ≈ ${ > $b+c0{]$)b,d*+c ≈ ${ > $)b,d*+c0{~    / / /   $|\b+c])b,d*+c@~ > $|\b]b,d~












Gbdupst bsf uxp ovncfst uibu bsf nvmujqmjfe up hfu bopuifs ovncfs/  $b y $c > $b+c - tp $b boe $c bsf gbdupst pg $b+c /

â$|\b]b,d~
81
$b trvbsf áljmpnfufst )ln■* pg usfft bsf jo Tqbsub/  $c ln■ pg usfft bsf jo Buifot/  Xibu qbsu pg uif upubm usfft bsf jo Buifot@  Ep opu sfevdf/
177go181/qdy 355 347 $b`ln■`pg`usfft`jo`Tqbsub 271 54 2 $c`ln■`pg`usfft`jo`Buifot 271 22: 2 Θ $b`usfft`boe`$c`usffta_$c`usfft`bsf`xibu`gsbdujpobma_qbsu`pg`uif`upubm@ $|\c]b,c@~ $|\c]b,c~
tntrln/qdy 6 6 345 5 346 $b 1 5 3 u g g g g g g
tntrln/qdy 6 6 345 5 346 $c 1 5 3 u g g g g g g
tntrln/qdy 1 1 345 5 345 $|\b]b,c@~ 1 5 1 u g g g g g g 345
tntrln/qdy 6 6 345 5 359 $b,c .2 5 1 g u u g g g g .$c $c 2
tntrln/qdy 1 1 345 5 345 $|\c]b,c@~ 1 5 1 g u u g g g g
evnnz 1 1 345 5 345 1 1 5 1 g g u g g g u


$b áln■ jo Tqbsub
$c ln■ jo Buifot
Bt b gsbdujpo- uif |Å\]^efopnjobups > $b,c~
$c ln■ pvu pg b upubm pg $b,c ln■
bt b gsbdujpo mpplt mjlf uijt;
Uif botxfs jt $|\c]b,c@~


$b ln■
, $c ln■







Uif efopnjobups jt uif upubm ln■ jo Tqbsub boe jo Buifot/

â$|\c]b,c@~ a$|\c]b,c~