Arbres binaires stricts On définit un arbre binaire strict - PPS
Arbres binaires stricts On définit un arbre binaire strict - PPS
Arbres binaires stricts On définit un arbre binaire strict - PPS
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
fQNT:rsY~l:T\YvNT\J~lWYF!O\YTtfF7°‰SuQ1O\M[rsMslWYT:rsYvNT\M[FLj.MsvLY?lWQNMs°SUF!O§º<br />
¹<br />
²XSg!QNY§FN¨QXH“j.fkuv¡fUTWOWY§QNF“v¡fUMsF!OWYQXT:°UYTyllmfFpvXTWY~kuMsYTKLrsl~ƒ<br />
»½¼<br />
²XSg!QNY§FN¨QXH“j.fkuv¡fUTWOWY§QNF“v¡fUMsF!OWYQXT:°UYTyllmfF#oqT\¾T\YjSH1Y.Oƒ<br />
»½¼<br />
fUkRkRYlmQNT:rhSnKXUQXTWYlWQNM[°‰SUFO\YRº<br />
¼<br />
n <br />
§©<br />
¢¡<br />
£¤£¦¥¨§©©<br />
n<br />
! #"$"$%'&&$(! *),+.-¦/10'0'2<br />
3546748:9;67?
§ Y~l{S¦T\VNTWYl‚VNM[FXfUkRMsSUQ1|plWfUF!O:QNFjSlvXS¦TWOWMhj.QXr[MsYT}Hxw S¦T\VNT\Y~l<br />
H1J.KLFNM[YMsFXH1QLj@OWMs°UY~kRYF!O:vXS¦Tº<br />
B » Y~lmO}QNF^S¦T\VNT\YzjfUFXlmOWM[OWQNJHxw QNF^lWYQNrFX¨QXH̓<br />
0<br />
O}QXFNY?S¦Q1O\TWY§vNT\fUvXTWMsJ.O\J§HNY~l<br />
B k<br />
YO:TWY~F!°f‰ÓSUFODQXF7SUTWVNT\Y<br />
B k−1<br />
TWY~r[MsJ~l‚Y~FO\TWYGYQ1|xƒ § S¤TySUjM[FNYzH1Y§r‹w QNF<br />
B k<br />
¬?¥GJkRfUF!OWT\YקrsYUƒ<br />
n ¸SUM[T\Y~l¡odSUMPO\Y<br />
n ´S¦MsTWYƒ Ú rlw S¦MPO}Hxw QNFNYodSUkRM[rsr[Y?Hw SUTWVNT\Y B k<br />
3546748:9;67
◮ „{…†!‡‰ÛŠ‹Û†©¨<br />
fQ1OWYur[YlGHNJkRflzlmY¤oqfUF!O§vXS¦TzTWJj.QNT\T\YFXjY¤lmQXT<br />
£<br />
ƒ § YlWYQXrNgQXMNlmfMPO QNFuvLY~Qn°€Mhj.MsYQ1|xƒ § Yj~SUl$H1Y<br />
i º<br />
k Y~FÍQ1O\M[rsMhlWSUFO§rsY?odS¦M[O§g!QNY B k+1<br />
Y~lmOGoqfTWkRY~TGH1YRH1YQN|<br />
B 0<br />
Yl,O$O\TWMs°€MsSUr‹ƒ ¹ fUQXTrsYvXSUl HNY‚T\J~jQNT\TWY~FXj.Y<br />
ƒ<br />
(k−1) → k t<br />
ƒ<br />
◮ Œ „{…†!‡‰ÛŠ‹Û† ƒ ¹ S¦T:MsFXH1QLj@OWMsfUF^lWQNT:rhSulmOWT\QXj.OWQNT\YH1Yr‹w S¦T\VNT\Y<br />
¤<br />
ƒ:SUTWYOWY~l¡ FNf€YQXHXl‚ ¤<br />
©<br />
ƒFNf€Y~QXHNl¢ ©<br />
× oqYQNMsrsr[Yl ¤<br />
<br />
B<br />
ƒ<br />
k<br />
ƒ ¤<br />
© ƒ<br />
k<br />
k edlWMxfUF^jfUFXlWMsHN¾T\Yzg!QNYrsY~l:SUTWVNT\Y~l B 0<br />
lmfF!O:HNYz²LS¦Q1O\YQNT<br />
2 k × 2 k = 2 k+1<br />
0<br />
ƒ<br />
JOWQXH1YvLS¦T}jSlYFpoqfUFXj.OWMsfUF^H1Y<br />
i < k i Y~lmO{rsS#lmfkukRY¤HNQFNfUknVNT\Y?H1Y?FN¨QXHXl<br />
»<br />
i B HNSUFXl H1Y{vXTWfUoqfUFXH1Y~QNT S‰±,fQ1OWJzS¦Q³FNfk¤VNT\Y{H1YGFN¨QXHNl·H1Y{vNT\f¦oqfFXH1Y~QNT<br />
Y.OzSUr[fT\lrsY¤FXfUk¤VXTWY?H1Y¤FN¨QXHNlGH1Y¤vNT\f¦oqfFXH1Y~QNT<br />
k−1 i<br />
HNS¦FLlÒraw SUQ1OWT\Y<br />
− 1<br />
ƒ ¼ Y?gQXMH1fUFXFNY§vXS¦T:T\J~jQNTWT\YFLj.Y jUw Yl,O{«RH1MsT\Y<br />
B k−1<br />
C i k−1 + Ci−1 k−1<br />
i = k B QNF^H1Yl » t1M[rxFw Ó#SuvXSl‚HNYzFX¨QXHNlH1Y§vNT\f¦oqfUFLH1YQNT<br />
jy²NYTyjy²NY~TlWYQXr[Y~kuY~F!O:HXS¦FXlraw SUQ1OWT\YUtNjY?g!QNMH1fFNFNY<br />
Y~lmO}S¦rsfUTyl·HXS¦FXl‚raw k−1<br />
C i k<br />
k<br />
C k−1<br />
k−1 = C0 k−1 = 1 = C0 k = Ck k<br />
ƒN¥GfUFLjzjUw Yl,O:«<br />
Change language