lec26m - Y nd oUT4m lQQlhGY fd B hfd it E...

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Unformatted text preview: Y nd oUT4m lQQlhGY fd B hfd it E WUTebakgjiUgeprdh3 iq g f utr g C QY I`YXVGS IG C dpgpwTUypqTyqxwvgddspqpihFfeadcSbaPWWUTRQPHFEDB A @ 87 & 42 4320 ) ( !& % 9 6 51 1 11 ' " " $# ! l nd eUT4m lQQlhGY fd B hfd it E WUTebakgjiUgeprdh3 iq g f utr g C QY I`YXVGS IG C dpgpwTUypqTyqxwvgddspqpihFfeadcSbaPWWUTRQPHFEDB v 8 @ p9BbT' GP @ WC X e 8 @ BVc wv y E 9F 1 U2p" h E ( 0 ( 1 3 ( " 0 ( 1 3 ( " $ 0 ( 1 3 ( & @q X X }pbD}p'T}pqBteWdX X c Cq e @ s TdrWD' j e afBB" @q C Bex t q wtw ~ q @ e F F yTHT9V" X e wvC j q Vr bq e @ e 'uB'TF e q }`9P " c Cq e @ s 9edDt' v rq '9 @q C { Bex|q C q Bfv e C vp y w q c X c bTep9" e 8 s @ fb7Bpv e @ Dxf c v e #kmWX 1q z9 & fX @ B'We " q q X yTgeV X 8 sq c v wV7rTT#f @ v Bpb" X Hts @ s @q C C 8 B`'9Bexua9F ibHb7s X 8 8 C dx` 1 P @ e 7DTF R e dD@ t C Qpb ' c F e 9uB" Cq e @q e F " X C UrWDtWTqHupdX X 8 @q e VBtW'b" @q BeC C q @ n Xq " q c v e X DyBot`T4yT#kmWl 1 v s iftHWX j q C e @ X & dDWiHX X e 8 C v 8 e C d#TdekX s P @ e Ht9DTF & @ #IuC X 8 @q e e @ bBdhDgf X q ys C @ b X tq c Cq e @ TedDts C 8 P 9Y C fWq X 8 s v Vyq Xq tTc e 8 C v s X @ Ad%`auC q 8s v y9 q c C e & s q e C Td7Bw'yWux e c C fbd@ @ b C 8 P a`Y it`Dwaub9pit`r9pigDIGP X q F @ v @ C @ c F h X s Pq P h X R @ @ X C @ 1 WVUIHGF C @ 5 8 DBA!97" 5 0 (& 3 1 0 (& $ " 6)42)'%#! E " R @ @ P 1 TSDIGQIHGF E 1 2 6 nd UT4m lQQlhGY fd B hfd it E WUTebakgjiUgeprdh3 iq g f utr g C QY I`YXVGS IG C dpgpwTUypqTyqxwvgddspqpihFfeadcSbaPWWUTRQPHFEDB q C e @ bdDWX Dt9F & s '9 X q yeC q 8 T9Tde h T q c v BT# v " @q C Xqs ss e 'fbqBtdxdtH'u`F e F @ e fGDTF X v q pft9F e ss f' eX @ C WDyq c fVeC q X @ eGF @ v BpfV X Cq WTT8 P DX s P @ e Ht9DTF s BzB@ q X X v @ e eWwaTF f '@ s Fq Cs t`rdrT8 X s P @ e Ht`DTF s @ BzBWX @ uC C uD'a R ' !& % S UT4m nd lQQlhGY fd B hfd it E WUTebakgjiUgeprdh3 iq g f utr g C QY I`YXVGS IG C dpgpwTUypqTyqxwvgddspqpihFfeadcSbaPWWUTRQPHFEDB X R e gdD@ t C Upb q e @ yeC DWX Ddfts & e 8 C v Xq t9c e vC q " yy4 D C v @ fWfbTBpv X e @ X X v @ e F & X R e DWWwaThHgdD@ t C Up e D@ f e c X " X e @ X X v @ e f`vaHDdWpa9F & q C 8 4bda9F ' b& e @ Dgf ~ s s s e qHty'W 5 Xs tHVa@ ' @ v s s s e BpSHty'W4F A @ & 4320 ) 1 11 nd UT4m lQQlhGY fd B hfd it E WUTebakgjiUgeprdh3 iq g f utr g C QY I`YXVGS IG C dpgpwTUypqTyqxwvgddspqpihFfeadcSbaPWWUTRQPHFEDB e @ `C DdX @ WC e @ P WDG e C c x9eC A & 5 & 6 min(a,b) X R e gkD@ t C Qp a max(a,b) b c d G UT4m nd lQQlhGY fd B hfd it E WUTebakgjiUgeprdh3 iq g f utr g C QY I`YXVGS IG C dpgpwTUypqTyqxwvgddspqpihFfeadcSbaPWWUTRQPHFEDB q dC q C e @ X s s s e bdDWiHty'W`F @ 'ts q dC q e yg f @ WC s s s e Hty'W 5 C q DHtv y a8 R e dD@ t C Upb q e yg f q X geV C e @ X e DW f f h'@ e f t @ mGF X tq s e 'uVf C DWX e @ @ uC C 8 @ P aB! t @ mbc X C uDH s HtH 3 5 & 6 5 2 merge 2 5 2 1 4 merge 2 5 4 4 merge 2 6 6 sorted sequence initial sequence 6 3 merge 4 1 1 merge 5 1 3 6 2 merge 6 3 2 3 2 merge 6 6 6 8 X TeWX C x9c t @ mb7R nd UT4m a8 b8 a8 b8 lQQlhGY fd B hfd it E WUTebakgjiUgeprdh3 a4 a5 a2 b2 b5 a6 a4 b4 b6 a7 b7 a6 b6 iq g f utr g C QY I`YXVGS IG C dpgpwTUypqTyqxwvgddspqpihFfeadcSbaPWWUTRQPHFEDB a1 j Cqs 9F s q X e 8 v rHBzeTf X @ Xq e bBWd`F X e WC `F C e 4F c bdC c v #m @ v s Bp'9` q @ yBp e f X e WC `F @ C WDyq j & q X qgtvV eViex e c v C R e kD@ t C UwV q e gf 5 $ 6 5 a1 b1 b1 e @ f e WDgA5 ~ ~ ~ E a2 a3 b3 b2 Merge a3 a5 b5 b3 Sorted sequence ! a7 b7 b4 Merge 8 7c 1 8 7c q X e 8 v Bref 1 HBw7T ` UT4m nd lQQlhGY fd B hfd it E WUTebakgjiUgeprdh3 iq g f utr g C QY I`YXVGS IG C dpgpwTUypqTyqxwvgddspqpihFfeadcSbaPWWUTRQPHFEDB !! 41 @ 2 kA & 8# 1 6 5 Merge Merge nd UT4m lQQlhGY fd B hfd it E WUTebakgjiUgeprdh3 iq g f utr g C QY I`YXVGS IG C dpgpwTUypqTyqxwvgddspqpihFfeadcSbaPWWUTRQPHFEDB @ 'ts $ 6 h E ~ F C X s ss e fWkGH'u`F '`9 s s s s e Hty'W`F 79eb q c C @ X C X @ v WkpY C DH q e f V q X e 8 v BzeTf e e e s s s e H'ukmSHty'W 5 e @ f e WDgfGF C X kpYf C rq X @ wI Cq " X @ rVHwI C rq e C fBwWx9c A 6 A 82 1 QY n aoU d m lQQlhG fd B hfd it WUTebaY gjiUgerpdhE iq g f utr g C QY I`YXVGS IG C dpgpwTUypqTyqxwvgddspqpihFfeadcSbaPWWUTRQPHFEDB A ' A " & A & A Merge Merge YY n UoU d m lQQlhG fd B hfd it WUTebaY gjiUgerpdhE iq g f utr g C QY I`YXVGS IG C dpgpwTUypqTyqxwvgddspqpihFfeadcSbaPWWUTRQPHFEDB X '$ ' h X 0 @ 's c '9dC e D@ q c C bTdp @ BdX e fGP C DWX e @ t ' h h & X @q C e F @ f HbBexufGD'@ 8 s C @ Ta'u q q q e yeC D@ q e yg f 't @s @s 't q C s ss e ye4Ht'u`F q C s ss e ye4f'u`F A ' A " & 5 & 6 l oU d m Yn lQQlhG fd B hfd it WUTebaY gjiUgerpdhE iq g f utr g C QY I`YXVGS IG C dpgpwTUypqTyqxwvgddspqpihFfeadcSbaPWWUTRQPHFEDB dS! 54u( 6 0 0 ( 6 0 dS S 7! 0 8u6 0 " Hbc hiuC DdX V tq !76 54 6 0 fVeC e @ C @ X 0 c fueDWX @V q tq x9dC iTvX 0 #TdekbBpv C @ C X f C c c v 8 C v 8 e C X @ dS#"! 6 0 k!! 54u! 1 0 0 3 $ & 02 q by'' drq 4epmwfVUIBb X 8 s c C t " q X e v 1 @ 0 eDg!"k & ( % @ f d ! 0 & d! 1 % 0 $ 0 $ ) (qyq o ' ! % & & $ d ) ( & | & C c C ss v x9eG'ff ~ fuDWX C e @ C @ b X tq #"! 1 C pb B@ e 8 DP e @ X fWC DWa pHb7fWhbeyD kD@ t v 8 s X c C " R e X C c tq x`eC TedX & & ) 8 X C v e e @ ##fdDpv X tq s C v e e @ zdfdDpv q C s C v e e @ zdfdDpv c C " HbdwHX '$ R e dD@ t C Upb X 0 f 'i7'@ q C e @ bdDWX Vf " q D o q c C X e @ yTd7'AWC DWX e X e @ }fBwiuC DdX v 8 s pHb7fWX 6 6 41 7 " oU d m Yn lQQlhG fd B hfd it WUTebaY gjiUgerpdhE iq g f utr g C QY I`YXVGS IG C dpgpwTUypqTyqxwvgddspqpihFfeadcSbaPWWUTRQPHFEDB C DH 1 8 e Ig 'dX 1 d & !%| 0 k ! 0 & ( 6q| 0 #d & (qyq o 0 i ( 0 Cq vq @ C @ #`Urr9BWbB@ P Do k & !qq d ( 0 & i! 1qq bac 0 X 8 ! 0 i! 0 fBmwD@ e @e ) & !qq fVc 8 X TeWX ( 0 & #! 1%q 0 0 d t @ c mbeX @ uC k & ( % $ 0 d ( 0 & u! 1 % 0 $ SY n goU d m lQQlhG fd B hfd it WUTebaY gjiUgerpdhE iq g f utr g C QY I`YXVGS IG C dpgpwTUypqTyqxwvgddspqpihFfeadcSbaPWWUTRQPHFEDB fWC DWX e @ C c x9dC X b'm Xq c TdC C a8 C @ b '$ X tq ! S! 0 4i6 0 pHb7fWX v 8 s 6 0 x9eC W@ 0& 0 C c C f tq $ A 0 f tq 0 A 0 C c x9dC q ~ c v 8 #eX " X e HVdD@ t 0 C v 8 e C X #TdekbB@ e c C fbe@ " V C @ b fWC DWX e @ S e VeC 7 e c "! 'ff ss v 0 & & & @ 5 7 DA 6 & oU d Yn m lQQlhG fd B hfd it WUTebaY gjiUgerpdhE iq g f utr g C QY I`YXVGS IG C dpgpwTUypqTyqxwvgddspqpihFfeadcSbaPWWUTRQPHFEDB ss ' Xq c C t9ex X C uw C ux C ab X q X X BzeWp e @ Dxf X { ftq c Cq e @ TedDts @ BV' ~ 7WTF q e c Cq e @ TdrWDs X c Cq e @ TedDts v fp'a e f fBi'@ e c C @ f fbd'@ @ bB GP s e 'uVf X s #9F q X c Cq e @ s TdrWD' q C X e C bdfWDyq e }fB X C @ W c Cq e @ s s ss e TdrWD'H'u`F @ Bpv s Pq e v z99fyq 1 q C X e C dkfuDq q dC h X C @ W ' @s 'o q @s 't q dC h q q e yeC D@ 5 6 @ @ ...
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