《算法竞赛入门经典训练指南》第一章例题及习题列表

从书籍主页搬运过来的，这样的话查看题目更方便。对与已经AC的题目我用红色字体进行了标记。

问题求解策略 (General Problem Solving Techniques)

例题 (Examples)

 

例题 1	UVa11292	The Dragon of Loowater	排序后用贪心法
例题 2	UVa11729	Commando War	用贪心法求最优排列；用“相邻交换法”证明正确性
例题 3	UVa11300	Spreading The Wealth	用代数法进行数学推导；中位数
例题 4	LA3708	Graveyard	推理；参考系
例题 5	UVa10881	Piotr's Ants	等效变换；排序
例题 6	LA2995	Image is Everything	三维坐标系；迭代更新
例题 7	UVa11464	Even Party	部分枚举；递推
例题 8	LA3401	Colored Cubes	部分枚举；贪心
例题 9	UVa11210	Chinese Mahjong	回溯法；以中国麻将为背景
例题 10	UVa11384	Help is needed for Dexter	问题转化；递归
例题 11	UVa10795	A Different Task	汉诺塔问题；递归
例题 12	LA3971	Assemble	二分法；贪心
例题 13	LA3635	Pie	二分法
例题 14	UVa11520	Fill the Square	求字典序最小的解；贪心
例题 15	LA3902	Network	树上的最优化问题；贪心
例题 16	LA3177	Beijing Guards	二分法；贪心

 

入门习题 (Exercises：Beginner)

 

UVa11636	Hello World!
UVa11039	Building Designing
LA3213	Ancient Cipher
LA3602	DNA Consensus String
UVa10970	Big Chocolate	不需要动态规划
UVa10340	All in All
UVa10382	Watering Grass	经典模型；贪心
LA3303	Songs	相邻交换法
LA5842	Equipment	需认真分析题目
LA5844	Leet	以“火星文”为背景的题目
(extra)UVa10012	How Big Is It?	用最小的矩形包住n<=8个圆。回溯法
(extra)UVa10020	Minimal coverage	数轴上有一些线段，选一些总长度尽量少的线段，覆盖区间[0,M]
(extra)UVa10026	Shoemaker's Problem	经典问题。贪心法
(extra)UVa10317	Equating Equations
(extra)UVa10318	Security Panel
(extra)UVa10670	Work Reduction
**(extra)LA2032	Helicopter
**(extra)LA2222	Garland
**(extra)LA2093	Moving Pegs

 

中级习题 (Exercises：Intermediate)

 

UVa10905	Children's Game	贪心。容易想错！建议编程并提交	题解1
LA4254	Processor	二分法
UVa11627	Slalom	二分法
UVa11134	Fabled Rooks	经典问题的变形
UVa11100	The Trip, 2007(排序，构造)
LA3266	Tian Ji - The Horse Racing	贪心
UVa11389	The Bus Driver Problem	贪心,排序
LA4094	Wonder Team
LA3507	Keep the Customer Satisfied	经典问题的变形
LA4324	Ugly Windows	注意细节
LA4328	Priest John's Busiest Day	认真分析题目
LA4636	Cubist Artwork	有趣的题目；逻辑推理
LA4253	Archery	枚举。注意特殊情况和精度
LA3667	Ruler	搜索
LA3403	Mobile Computing	枚举二叉树
LA3621	Power Calculation	经典的搜索题目；注意优化
(extra)UVa10037	Bridge	有趣的过河问题。分情况讨论；贪心法
(extra)UVa10602	Editor Nottoobad
(extra)UVa10716	Evil Straw Warts Live
(extra)UVa11127	Triple-Free Binary Strings
*(extra)UVa10120	Gift?!	推荐
*(extra)UVa10123	No Tipping
*(extra)UVa10366	Faucet Flow	推荐
*(extra)UVa10396	Vampire Numbers
*(extra)UVa10479	The Hendrie Sequence	推荐
*(extra)UVa10483	The Sum Equals the Product
*(extra)UVa10570	Meeting with Aliens
*(extra)UVa10609	Fractal
*(extra)UVa10624	Super Number
*(extra)UVa10729	Treequivalence	推荐
*(extra)UVa10747	Maximum Subsequence
*(extra)UVa10771	Barbarian tribes
*(extra)UVa11012	Cosmic Cabbages	推荐
*(extra)UVa11106	Rectilinear Polygon	推荐
*(extra)UVa11269	Setting Problems
*(extra)UVa11387	The 3-Regular Graph
*(extra)UVa11714	Blind Sorting
*(extra)UVa11776	Oh Your Royal Greediness!	经典问题
*(extra)UVa11920	0s, 1s and ? Marks	推荐
*(extra)UVa11986	Save from Radiation.	推荐
**(extra)LA2220	Binary Search
**(extra)LA2084	Problem Bee

 

提高习题 (Exercises：Advanced)

 

LA4725	Airport（二分）
LA4850	Installations
LA2757	Supermarket	经典问题
LA5693	Compress the String	搜索。需要优化
LA5704	Yummy Triangular Pizza	回溯法。https://oeis.org/A006534
UVa10825	Anagram and Multiplication	枚举（需要猜想）
UVa10639	Square Puzzle	回溯法。注意细节
LA3406	Bingo	注意枚举方式
LA2108	Houses Divided	搜索；需要优化
LA4644	Hobby on Rails	比较繁琐的搜索题目
(extra)UVa10383	Queen vs Rook
(extra)UVa10411	Another Game of Tetris
(extra)UVa10414	Denki Blocks
(extra)UVa10492	Optimal Mastermind Strategy
(extra)UVa10571	Products
(extra)UVa10605	Mines For Diamonds
(extra)UVa10628	Quadrills
(extra)UVa10632	Pyramid
(extra)UVa10833	Lunar Forest
(extra)UVa11694	Gokigen Naname
(extra)UVa11794	Dazzling Puzzle
(extra)UVa11846	Finding Seats Again
*(extra)UVa10272	DDR King	推荐
*(extra)UVa10471	Can't be too GREEDY
*(extra)UVa10640	Planes around the World	推荐
*(extra)UVa10658	ReArrange
*(extra)UVa10675	Revenge of Faucet Flow	推荐
*(extra)UVa10786	Qualifying for the Champions League
*(extra)UVa10904	Structural Equivalence	推荐
*(extra)UVa11006	Wheel Good	推荐
*(extra)UVa11041	Quarter-Finals with Brazil!? No!!!
*(extra)UVa11129	An antiarithmetic permutation
*(extra)UVa11142	MineSweeper II	推荐
*(extra)UVa11184	Joyful Ride
*(extra)UVa11251	Fractions
*(extra)UVa11268	Reliable Network
*(extra)UVa11318	Marble Game	推荐
*(extra)UVa11445	Water Tanks EXTREME	推荐
*(extra)UVa11522	Pyramid Number
*(extra)UVa11527	Morning Walk
*(extra)UVa11570	Sudoku without numbers?
*(extra)UVa11630	Cyclic antimonotonic permutations
*(extra)UVa11814	Stack Machine	推荐
*(extra)UVa11925	Generating Permutations	推荐
*(extra)UVa12011	Complete the Set
**(extra)LA2097	Lost Lists
**(extra)LA2098	Coins

 

高效算法设计 (Designing Efficient Algorithms)

例题 (Examples)

 

例题 17	UVa11462	Age Sort	排序后用贪心法
例题 18	UVa11078	Open Credit System	扫描、维护最大值
例题 19	UVa11549	Calculator Conundrum	Floyd判圈算法
例题 20	LA3905	Meteor	线性扫描；事件点处理
例题 21	LA2678	Subsequence	线性扫描；前缀和；单调性
例题 22	LA3029	City Game	递推；扫描法
例题 23	LA3695	Distant Galaxy	枚举；线性扫描
例题 24	UVa10755	Garbage heap	前缀和、降维、递推
例题 25	LA2965	Jurassic Remains	中途相遇法

 

入门习题 （Exercises: Beginner）

 

UVa10125	Sumsets	中途相遇法
UVa10763	Foreign Exchange	快速检索
UVa10391	Compound Words	字符串检索；哈希表
UVa11054	Wine trading in Gergovia	扫描法
(extra)UVa10324	Zeroes and Ones
*(extra)UVa10535	Shooter
*(extra)UVa10730	Antiarithmetic?	推荐
*(extra)UVa10810	Ultra-QuickSort

 

中级习题 (Exercises：Intermediate)

 

LA2963	Hypertransmission	扫描；维护信息
UVa10827	Maximum sum on a torus	前缀和；降维
LA4726	Average	数形结合或者单调队列
LA4950	Selling Land
LA4356	Fire-Control System	扫描法
LA2689	Cricket Field	在W*H网格里找一个最大空正方形
LA5052	Genome Evolution
LA3716	DNA Regions	利用数学变形或者数形结合
LA4621	Cav
LA3693	Balancing the Scale	用空间换时间	题解1
LA4294	Shuffle	有多种方法
LA5848	Soju
LA4062	You are around me ...
(extra)UVa10132	File Fragmentation
(extra)UVa10691	Subway
(extra)UVa11589	Save the President
*(extra)UVa11536	Smallest Sub-Array
*(extra)UVa11572	Unique Snowflakes
**(extra)LA2159	The Game of Master-Mind
**(extra)LA2065	Edge Detection

 

提高习题 （Exercises: Advanced）

 

LA4851	Restaurant
LA4629	Knowledge for the masses

 

动态规划 （Dynamic Programming）

例题 （Examples）

 

例题 26	LA3882	And Then There Was One	递归、问题转化
例题 27	UVa10635	Prince and Princess	LCS；可转化为LIS
例题 28	UVa10891	Sum	避免重复计算
例题 29	UVa11825	Hacker's Crackdown	集合动态规划；子集枚举
例题 30	UVa10859	Placing Lampposts	树上的动态规划
例题 31	LA3983	Robotruck	动态规划；滑动窗口优化；单调队列
例题 32	LA4794	Sharing Chocolate	集合动态规划、状态精简

 

入门习题 （Exercises: Beginner）

 

UVa11584	Partitioning by Palindromes	入门题目
LA4256	Salesman	入门题目
UVa10534	Wavio Sequence	可以转化为经典问题，时间O(nlogn)
UVa11552	Fewest Flops	序列划分模型；状态设计
UVa11404	Palindromic Subsequence	可以转化为LCS
LA4731	Cellular Network	需要一点概率知识和推理
UVa11795	Mega Man's Missions	基础的集合动态规划
LA4727	Jump	Joseph问题的变形
LA3530	Martian Mining	模型简单，但需要减少重复计算
UVa10564	Paths through the Hourglass	类似01 背包问题
UVa10817	Headmaster's Headache	集合动态规划
LA2038	Strategic Game	树上动态规划（基础题）
LA3363	String Compression	字符串动态规划
LA2031	Dance Dance Revolution	以跳舞机为背景的题目
LA4643	Twenty Questions	有趣的问题；比较基础的动态规划
(extra)UVa10163	Storage Keepers
(extra)UVa10453	Make Palindrome
*(extra)UVa10254	The Priest Mathematician

 

中级习题 (Exercises：Intermediate)

 

LA4945	Free Goodies	也可以贪心，时间效率更高
LA4327	Parade	模型不难想，但需要优化
LA4015	Cave	树的动态规划
LA4490	Help Bubu
UVa11600	Masud Rana	注意状态表示
LA4987	Evacuation Plan
LA4613	Mountain Road
LA4614	Moving to Nuremberg
LA4050	Hanoi Towers
LA3305	Tour	经典问题
LA3412	Pesky Heroes	树的动态规划（题目不太好理解）
LA3679	Pitcher Rotation	需要一点优化（精简状态）
LA3605	Roommate
LA3608	Period
LA3610	Log Jumping	可以转化为经典问题
LA2221	Frontier	涉及到几何（见第四章）的动态规划
LA3132	Minimax Triangulation
LA3710	Interconnect	注意状态表示
LA5088	Alice and Bob's Trip	树上的动态规划
LA3782	Bigger is Better	有多种方法。可以不用高精度
(extra)UVa10003	Cutting Sticks	经典的动态规划题目。可以用四边形不等式优化
(extra)UVa10239	The Book-shelver's Problem
(extra)UVa10271	Chopsticks
(extra)UVa10304	Optimal Binary Search Tree
(extra)UVa10599	Robots(II)
(extra)UVa10604	Chemical Reaction
(extra)UVa10618	Tango Tango Insurrection
(extra)UVa10641	Barisal Stadium
(extra)UVa10671	Grid Speed
(extra)UVa10688	The Poor Giant
(extra)UVa11263	Nested Rectangles
(extra)UVa11400	Lighting System Design
(extra)UVa11578	Situp Benches
(extra)UVa11691	Allergy Test
(extra)UVa11766	Racing Car Computer
(extra)UVa12002	Happy Birthday
*(extra)UVa10723	Cyborg Genes	推荐
*(extra)UVa10934	Dropping water	推荐
*(extra)UVa10981	String Morphing	推荐
*(extra)UVa11307	Alternative Arborescene	推荐
*(extra)UVa11456	Trainsorting
*(extra)UVa11782	Optimal Cut
**(extra)LA2096	Taekwondo
**(extra)LA2151	Telescope
**(extra)LA2221	Frontier

 

提高习题（Exercises: Advanced）

 

LA4394	String Painter	序列的动态规划，有一定难度
LA4593	Exclusive Access 2
LA4048	Fund Management	注意状态表示
LA4625	Garlands
LA3683	A Scheduling Problem	树的动态规划
LA3637	The Bookcase	不太容易想到，且需要优化
LA5717	Peach Blossom Spring	一类经典题目（最早出现在NWERC2006，但本题数据更强）
LA3623	The Best Name for Your Baby	有难度的动态规划；注意计算顺序
LA4002	The Ultimate Password	有难度的动态规划；注意计算顺序
LA2178	The Minimum Number of Rooks	有难度的动态规划
LA2923	Bundling
LA2930	Minimizing Maximizer	01 原则；数据结构优化动态规划
LA3181	Fixing the Great Wall
LA4290	Easy Climb	需要优化
UVa10559	Blocks	重点是设计状态及其转移
LA4031	Integer Transmission	需要认真思考。可以做到O(n^2)时间。
UVa11521	Compressor	需要认真思考。很容易写错。
(extra)UVa10949	Kids in a Grid
(extra)UVa11193	Infinix
(extra)UVa11194	Stone Grid
(extra)UVa11810	Gentle ping, to the old King
*(extra)UVa11171	SMS
*(extra)UVa11435	Network EXTREME!!!	推荐
*(extra)UVa11502	Rocket Stages
*(extra)UVa11750	Red-Blue Tree	推荐
*(extra)UVa11803	The Great Merge