30, 11
1
30 11 1 (A) :
nn
nn
nn
nn
nfnnnf
nnnfnnnf
nnnf
loglog5
225,04
5,03
log2
1
82)(log)(log)(
)(24)(
)(loglog)(
3+=
+=
+=
+=
+=
30, 11
2
() : 2
643)()1( nnTnTnT +
+
=
2
416)()2( nnTnT +
=
2
464)()3( nnTnT +
=
( ) 121)()4( += nnTnT
, .
: T(n) = aT(n/b) + f(n), a1, b>1 , f(n) . :
log log( ) ( ), ( )b ba a(1) f n O n >0, T(n) = n= = = = log log( ) ( ), ( log )b ba a(2) f n n T(n) = n n= = = = log( ) ( ), ,
( ( )).
b a0
0
(3) f n n >0, n n
, n n , af cf(n) c
30, 11
3
2 1, 2, 3, , n, a[1], a[2], a[3], , a[n], , . .
: i
, i-1.
( , , ).
30, 11
4
3
1:
:
(0+1)*11
(00+10)*
(0+10+111)*+(10)*
0*1*11
(010*11)*
30, 11
5
2:
{0,1} L={w|w 1, 00 1} () L
(B) () L
() () L