INTRODUCTION TO ALGORITHMS 3rd phần 2 pdf
INTRODUCTION TO ALGORITHMS 3rd phần 2 pdf
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INTRODUCTION TO ALGORITHMS 3rd phần 5 pdf
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INTRODUCTION TO ALGORITHMS 3rd phần 6 pdf
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(c)
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INTRODUCTION TO ALGORITHMS 3rd phần 1 docx
... Elementary Graph Algorithms 589
22 .1 Representations of graphs 589
22 .2 Breadth-first search 594
22 .3 Depth-first search 603
22 .4 Topological sort 6 12
22. 5 Strongly connected components 615
23 Minimum ... worst-case linear time 22 0
III Data Structures
Introduction 22 9
10 Elementary Data Structures 23 2
10.1 Stacks and queues 23 2
10 .2 Linked lists 23 6
10.3 Implementin...
INTRODUCTION TO ALGORITHMS 3rd phần 3 potx
... the number of collisions. When m D n
2
,
the expected number of collisions is
E ŒX D
n
2
!
1
n
2
D
n
2
n
2
1
n
2
<1 =2:
(This analysis is similar to the analysis of the birthday paradox ... language, or the set of file names on a CD-ROM. We
29 0 Chapter 12 Binary Search Trees
2
4
3
13
7
6
17 20
18
15
9
Figure 12. 2 Queries on a binary search tree. To search...
INTRODUCTION TO ALGORITHMS 3rd phần 4 ppt
... its
pixels.
15.3 Elements of dynamic programming 385
1 4
1 1 2 4 1 2 3 4 1 3 4 4
2 2 3 4 2 3 4 4 1 1 2 2 3 3 4 4 1 1 2 3 1 2 3 3
3 3 4 4 2 2 3 3 2 2 3 3 1 1 2 2
Figure 15.7 The recursion tree for the computation ... contribution
k
1
1 0.15 0.30
k
2
0 0.10 0.10
k
3
2 0.05 0.15
k
4
1 0.10 0 .20
k
5
2 0 .20 0.60
d
0
2 0.05 0.15
d
1
2 0.10 0.30
d
2
3 0.05 0 .20
d...
INTRODUCTION TO ALGORITHMS 3rd phần 7 pps
... p
2
/ C 1 and
is not provided as an input.
P-M
ERGE.T; p
1
;r
1
;p
2
;r
2
;A;p
3
/
1 n
1
D r
1
p
1
C 1
2 n
2
D r
2
p
2
C 1
3 if n
1
<n
2
// ensure that n
1
n
2
4 exchange p
1
with p
2
5 ... r
2
6 exchange n
1
with n
2
7 if n
1
==
0 // both empty?
8 return
9 else q
1
D
b
.p
1
C r
1
/ =2
c
10 q
2
D BINARY-SEARCH.T Œq
1
; T; p
2
;r
2
/
11 q
3
D p
3
C .q
1...
INTRODUCTION TO ALGORITHMS 3rd phần 8 pptx
... power of 2.
31.3 Modular arithmetic 941
0 123 45
0
1
2
3
4
5
0 123 45
0 123 45
0 123 45
0 123 45
0 123 45
0 123 45
(a)
1 2 4 7 8 11 13 14
1
2
4
7
8
11
13
14
1 2 4 7 8 11 13 14
2 4 8 14 1 7 11 13
4811 321 4711
7141341 12 ... for s D 1 to lg n
2 for k D 0 to n 1 by 2
s
3 combine the two 2
s1
-element DFTs in
AŒk : : k C 2
s1
1 and AŒk C 2
s1
::kC 2
s
1
int...
INTRODUCTION TO ALGORITHMS 3rd phần 9 docx
... L
1
to L
2
in polynomial time, and A
2
is a polynomial-time algorithm that
decides L
2
. Algorithm A
1
decides whether x 2 L
1
by using F to transform any input x into f.x/
and then using A
2
to ... a powerful tool for proving that various lan-
guages belong to P.
Lemma 34.3
If L
1
;L
2
Â
f
0; 1
g
are languages such that L
1
Ä
P
L
2
,thenL
2
2 P implies
L
1
2 P.
Pr...
INTRODUCTION TO ALGORITHMS 3rd phần 10 pps
... be partitioned into two sets V
1
and V
2
such that
.u; / 2 E implies either u 2 V
1
and 2 V
2
or u 2 V
2
and 2 V
1
. That is, all
edges go between the two sets V
1
and V
2
. An acyclic, undirected ... that 0 Ä k Ä n =2 to prove inequality (C.6),
and use equation (C.3) to extend it to all integers k such that 0 Ä k Ä n.
C.1-13 ?
Use Stirling’s approximation to p...
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