《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 |
