hwk3 - 3.1 Bindedduk Sorting ^< a) B " f ,=...

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Unformatted text preview: 3.1 Bindedduk Sorting ^< a) B " f ,= E . .d { . ` D 6 E L I 4 6 b) @ y 0E 7 g@ --f f f 0E f ~ f-- c) B " f , 6 E 5 6E d) ^ ǻ , y 0 @ 0E 1 1 { ` H '~ ^ ,< K 6 E 1 K .^ < (. . 1 2 3 4 5 6 ) 2 1 3 4 5 6 3 1 2 4 5 6 B. A . `" . 5 4 2 1 3 6 7 6 3 1 2 4 5 7 @ Ey 3 6 1 2 4 5 7 E 0 E 5 4 1 2 6 3 7 y 0 E 6 2 1 4 5 3 7 1 2 6 4 5 3 7 N^2A{ f ` ^ < 3. 6 j ~ f ~ 3 p = 6E B .d { f .-- @ 6 y p E 0 y E E ` 0 E @ g 6E E 0 E | D 6 E A f 1 , @ E 0 E .4 6 E f 0E 2A { D 6E EE 0 D 6E A f T 1 ,. 3d f 6 ^ . ~ a g 6 E < ^ { f B " g D 6 E 7 7 7 . , 9~ a D 6 E { d{ f N(log(N)) g D 6 E d { sorting~ a g D 6 ,K E 0 E .~ a g D E @{ f B ', = 6 E K 6. E N " f , = 6 E 4 1. @ 0 E 1 . ~ a7 D@ 6 E ^ { f . 2. " f , = E K 6 .1 E 7 g @ @ @ : @ E2A { f E 3. N `^ D 6 E . . , ` g D E O(N)~a D 6 E f B " . independent ^ @E E O(N*log(N)+N), . N*Log(N)d f 7 g @ ^< . 3.2 Agony of Engineer B f = 6 K 6 E . a) p E 0 E b) E c) a) " f ` D 6 . y0 E 6E @ E E 6E n@ ' K y0 E0 E 1 E. E 0 P y E 0 E 7 g @ ` g 6 ,, j ~ y E f ` ~ f , = n 6 E 2 p EE H ; (~ a g 6 E . f l ). J 1 < f . ) 1 2 3 4 5 6 7 8 1 H H 1' 2' 3' 4' 5' 6' 7' 8' K H G ~ @E 6 -- 4 p E E @ H g D E f 0 E E0 E -- 0 E @ { g D 6 ^ Z f D 6 0 E ` y0 E . . , T 1 , . | g D E 2 ( H ; f 1 2 3 4 5 6 7 8 1' 2' 3' 4' 5' 6' 7' 8' 1 2 3 4 5 6 7 8 1' 2' 3' 4' 5' 6' 7' 8' 1,2. 2', 6'K H ; E 0 E @ . 1. 3 . . , 2' . H 6'1 g @ " f 6 E K . 6 , 2' f . (. 4') " f , = 6 E . 6' g D 6 E . @ ' @ @ E E @ 6 E 1 7 g @ ' @ 2 3 .E E , 1 . (~ a g D 6 f +3)~ g D 6 E B " . ` D 6 E . . E 0E 1 7 O(n*Log(n)) ` D 6 E g @ . @@' E E A . 2' 6 E 2'. , 3. 1. 4'. , 2. p EE 1 ` D 6 E 7 g @ ' @ @A E 0 E 3 a(n+1)=2a(n)+3, a(1)=0 . ...
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