没有合适的资源?快使用搜索试试~ 我知道了~
首页算法分析与设计详解:核心技术与实践应用
算法分析与设计详解:核心技术与实践应用
需积分: 9 9 下载量 166 浏览量
更新于2024-07-17
收藏 28.8MB PDF 举报
"《算法分析与设计》是一本由Amrinder Arora撰写的专著,适合大学本科和研究生级别的入门算法课程。该书的第二版于2014年12月30日出版,共146页,深入浅出地探讨了算法的基础概念、实际应用以及关键理论工具,如渐进表示法和数据结构。 书中首先定义并解释了算法的实质,强调它们在解决实际问题中的核心作用。作者通过清晰的阐述,介绍了诸如分治法、贪心算法、动态规划、分支定界法和图遍历等基础设计技巧。每种方法都提供了实用模板和使用指南,帮助读者理解何时选择或避免使用这些技术。对于NP完全性问题和问题固有的难度,书籍也进行了深入讨论,让读者认识到解决问题的挑战性和复杂性。 作者还巧妙地运用创新的记忆法,如助记符,来帮助学生记忆算法模板和关键要点,这使得学习过程更具系统性和有效性。《算法分析与设计》是由学生和专业人士共同参与编写的,特别适合在线教育环境,其结构化的组织使得理解和消化内容更加便捷。 版权方面,该书受到严格保护,未经Cognella, Inc.的书面许可,任何形式的复制、传播或利用均需得到授权。封面图片的改编源于Depositphotos的版权作品。 《算法分析与设计》是一本实用的教材,不仅提供理论知识,还注重实践应用,旨在帮助读者掌握算法设计的基本策略,以便在解决复杂问题时做出明智的选择。无论是学生还是专业人员,都能从中获益匪浅,提升算法设计的技能和理解。"
资源详情
资源推荐
![](https://csdnimg.cn/release/download_crawler_static/10888386/bg10.jpg)
SECTION 1
THE
BASICS
T
he coming 3
chapters
coverthe
basics.
We
discuss
what
is
an
algorithm,
study
and
review
the
asymptotic
notation
and
data
structures
that
are
used repetitively
in
the
rest
of
the
book. Many
of
the
readers
may
be well versed with
these
foundation
elements.
Forthis
reasons,
these
chapters
are
very
brief.
It
is
highly
recommended
that
you read
these
chapters
regardless.
You
may
be
surprised by
some
concepts
mentioned
therein.
You
can also refer
to
other
books
and
background
materials, such as
[~]
[2]
[3]
[4]
[5]
[6]
[7]
[8] [9]
and
[~o],
etc.
![](https://csdnimg.cn/release/download_crawler_static/10888386/bg11.jpg)
INTRODUCTION AND
BARE
ESSENTIALS
CHAPTER
1
1.1 WHAT
IS
AN
ALGORITHM?
A n algorithm
is
generally defined
in
one
oftwo
following ways:
• A
precise
statement
to
solve a
problem
on
a
computer
• A
sequence
of
definite
instructions
to
do
a
certain
job
Wikipedia says: "(In
mathematics,
computing,
and
related
sub-
jects)
An
algorithm
is
an
effective
method
for solving a
problem
using a finite
sequence
of
instructions."
Algorithms
have
existed
for
a long
time,
with Euclid's
algorithm
for finding
the
greatest
common
divisor having
been
described
back
around
300
BC
Incidentally, it
is
still
known
as
a fairly effective
algorithm,
and
is
a
standard
first
programming
assignment.
The
algorithm
can
be
described
in
English,
without
using
any
mathemati-
cal
notation
as
follows. You
are
given
two
numbers,
and
you
need
to
find
the
greatest
common
divisor
of
these
two
numbers.
For
example,
given
35
and
20,
the
greatest
common
divisor
is
5,
and
given
27
and
48,
the
greatest
common
divisor
is
3.
The
algorithm
goes
as
follows: divide
the
larger
number
with
the
smaller
number,
and
obtain
the
remainder.
If
the
remainder
is
zero,
then
the
smaller
3
![](https://csdnimg.cn/release/download_crawler_static/10888386/bg12.jpg)
4 I ANALYSIS
AND
DESIGN OF ALGORITHMS
number
is
the
greatest
common
divisor.
Otherwise,
consider
the
remainder
as
your
new
"smaller"
number,
the
previous
smaller
number
as
your
new
larger
number,
and
go
backtothe
divide
step.
[The unsaid
part
is
that
this
will
always
terminate
and
that
eventually
we
will find
that
the
remainder
is
zero.]
Describing
even
a
simple
algorithm
in
English
can
be
tricky
and
prone
to
errors
in
boundary
conditions.
Therefore,
going
forward
we
will
be
using a
standard
mathematical
notation
to
describe
algorithms.
Let us
use
insertion
sort
as
our
next
example.
The
goal
ofthis
algorithm
is
to
sort
the
given list
of
numbers
in
the
increasing order. For
example,
given a list
[5,8,2,101,
the
algorithm
should
produce
the
sorted
list
of
[2,5,8,
10}.
Insertion
sort
works
by
growing
a
sorted
list,
and
by
inserting
a
new
number
in
the
list
in
every
iteration
(hence
the
name
insertion
sort).
Consider
the
fol-
lowing
pseudo-code
for
describing
insertion
sort.
II
Given
an
array
A
of
n numbers
II
Sorts
the
array
A
for
j = 2
to
n {
}
key
= A
[j]
i = j - 1
II
A[j]
is
added
in
the
sorted
sequence
A[l..
j-1]
while
«i
~
0)
and
(A[i]
> key» {
A[i
+ 1] =
A[i]
i =
i-I
}
A[i]
=
key
From
this
pseudo-code,
we
can
attempt
to
estimate
the
best
case
running
time,
the
worst
case
running
time
and
the
average
case
running
time.
We
observe
that
the
for
loop runs
n-l
times,
but
the
while
loop
can
run a vari-
able
number
of
times
based
on
the
actual
values
in
the
array.
In
the
worst
case
scenario,
it
may
run i
times,
and
in
the
best
case,
it
may
run 0
times.
For
our
third
example,
let us
turn
to
the
searching
problem.
We
are
given a
sorted
list
of
numbers,
and
we
are
asked
to
find
if
a
certain
number
exists
in
the
list
or
not.
The
commonly
known
Binary
Search
algorithm
compares
the
middle
element
ofthe
array
with
the
given
number,
and
depending
upon
the
result,
focuses
on
either
the
left ha
If
or
the
rig
ht
ha
If
of
the
array.
![](https://csdnimg.cn/release/download_crawler_static/10888386/bg13.jpg)
INTRODUCTION
AND
BARE
ESSENTIALS I 5
II
Given
a
sorted
array
A
II
Finds
if
a
given
"value"
exists
in
A
or
not
BinarySearch(A[0
..
N-l],
value,
low,
high)
{
}
if
(hi
gh
<
low)
return
-1
I I
not
found
mid =
(low
+
high)
I 2
if
(A[mid]
>
value)
return
BinarySearch(A,
value,
low,
mid-I)
else
if
(A[mid]
<
value)
return
BinarySearch(A,
value,
mid+l,
high)
else
return
mid I I
found
1.2 PRACTICAL APPLICATIONS
OF
ALGORITHMS
Practical
applications
of
algorithms
are
found
quite
abundantly
and
can
be
very diverse. Here
are
some
practical
applications:
• Find
relevant
web
pages
for a given
search
term
• Analyze
thousands
of
casual
pictures
taken
by
hundreds
of
different
cameras
to
track
an
individual
•
Given millions
of
"x
knew
y
at
time
til
statements
and
millions
of
stock
transactions,
detect
insider-trading
• Given a
grocery
list
and
the
layout
of
a
store,
find
the
quickest
way
to
collect
all
items
• Given
gas
prices
in
a city
and
the
places
that
you
need
to
go, find a
path
that
minimizes
your
cost
• Given a
person's
song
history
and
a large
song
database,
find a
song
that
they
may
like
hearing
next.
• Given
many
recipes
and
ingredients,
find
the
maximum
number
of
dishes
you
can
make
• Given a
candidate's
answers
to
10
questions,
find
the
next
5
questions
that
maximize
your
confidence
in
assessing
their
level
•
Given
thousands
of
image
fi
les,
separate
the
ones
ta
ken
at
nig
ht
from
the
ones
taken
during
the
day
![](https://csdnimg.cn/release/download_crawler_static/10888386/bg14.jpg)
6 I ANALYSIS
AND
DESIGN OF ALGORITHMS
• Given a list
of
train
stations
and
a
map
of
tracks,
create
a
schedule
that
minimizes
the
sum
oftravel
time
across
all users.
1.3 WHAT
IS
MEANT
BY
"ANALYZING
AN
ALGORITHM"?
Assuming
a given
algorithm
is
functionally
correct,
analyzing it typically
requires
us
to
answer
the
following
two
questions:
(i)
How long will
the
algorithm
take
to
run,
in
best
case,
worst
case
and
average
case?
(ii)
How
much
memory
will
it require,
in
best
case,
worst
case
and
aver-
age
case?
We
may
also
want
to
know
if
there
are
some
inputs
on
which
the
answer
varies
considerably,
and
what
the
average
case
values
would
be
if
the
input
is
limited
to
certain
range.
Depending
upon
the
type
of
algorithm,
analyzing
an
algorithm
may
have
many
other
meanings
as
well.
•
If
the
algorithm
is
an
approximation
algorithm,
analyzing
an
algorithm
requires
us
to
find
the
approximation
ratio.
•
If
the
algorithm
is
an
online
algorithm,
analysis involves
competitive
ratio.
•
If
the
algorithm
is
a
prediction
algorithm,
analysis involves
many
metrics
such
as
accuracy
and
precision.
1.4 WHY SHOULD
WE
ANALYZE ALGORITHMS?
For a given
problem,
there
may
be
many
algorithms
that
solve
the
problem
correctly.
One
algorithm
may
be
more
complicated
than
other,
but
the
other
may
be
more
readable
and
more
eloquent.
Similarly,
one
algorithm
may
be
very
efficient
on
certain
inputs,
and
very inefficient
on
some
other
inputs.
Having a
mechanism
to
analyze
the
algorithm
in
terms
of
one
standard
nota-
tion
allows us
to
compare
many
different
algorithms.
Another
very practical
reason
to
analyze
algorithms
is
to
perform
a priori
estimation
of
performance.
Algorithms
are
packaged
in
form
of
software
pro-
grams
which run
on
a
wide
variety
of
devices
(computers,
mobile
phones,
tablets,
TVs, GPS receivers).
Those
software
programs
are
marketed
using a
剩余145页未读,继续阅读
![pdf](https://img-home.csdnimg.cn/images/20210720083512.png)
![pdf](https://img-home.csdnimg.cn/images/20210720083512.png)
![pdf](https://img-home.csdnimg.cn/images/20210720083512.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://profile-avatar.csdnimg.cn/default.jpg!1)
THESUMMERE
- 粉丝: 23
- 资源: 328
上传资源 快速赚钱
我的内容管理 展开
我的资源 快来上传第一个资源
我的收益
登录查看自己的收益我的积分 登录查看自己的积分
我的C币 登录后查看C币余额
我的收藏
我的下载
下载帮助
![](https://csdnimg.cn/release/wenkucmsfe/public/img/voice.245cc511.png)
最新资源
- 岩石滑动与断层冲击地压:声发射特征分析
- 新时代煤炭工业八大战略新取向剖析
- 开采强度对华亭矿区冲击地压危险性的影响分析
- 新安煤矿探采对比:影响安全生产的关键因素与技术支撑
- 210MW循环流化床锅炉引风机变频改造优化与节能效果
- 浅埋煤层开采沉陷预测:方法应用与影响分析
- 优化巷道过陷落柱支护方案:数值模拟与现场试验
- 坚硬顶板定向断裂爆破技术:安全高效采煤新方案
- 北航2019算法课作业解析:投资策略与凸子多边形优化
- 断层破碎带垮冒下堆积体边界抗力分布关键影响因素
- 哈拉沟选煤厂优化末煤系统提高效率与处理能力
- 瓦斯涌出影响下采动煤体蠕变失稳研究
- 提升煤矿装载效率的可控箕斗定量装载设备设计
- 水分调控下烟煤瓦斯吸附特性对比研究
- 重介质悬浮液密度控制硬件设计与选型探讨
- 坚硬顶板巷道支护参数设计:现场测试与数值分析
资源上传下载、课程学习等过程中有任何疑问或建议,欢迎提出宝贵意见哦~我们会及时处理!
点击此处反馈
![](https://img-home.csdnimg.cn/images/20220527035711.png)
![](https://img-home.csdnimg.cn/images/20220527035711.png)
![](https://img-home.csdnimg.cn/images/20220527035111.png)
安全验证
文档复制为VIP权益,开通VIP直接复制
![](https://csdnimg.cn/release/wenkucmsfe/public/img/green-success.6a4acb44.png)