PAT 甲级（Advance）
一、考试大纲
在达到乙级要求的基础上，还要求：
1· 具有充分的英文阅读理解能力；
2· 理解并掌握基础数据结构，包括：线性表、树、图；
3· 理解并熟练编程实现经典高级算法，包括哈希映射、并查集、最短路径、拓扑排序、关键路径、贪心、深度优先搜索、广度优先搜索、回溯剪枝等；
4· 具备较强的问题抽象和建模能力，能实现对复杂实际问题的模拟求解。
二、刷题方法
三、我的题解
3-1 按题号索引：
| 题号 | 题目 | 题解 | 分类 | 备注 |
|---|---|---|---|---|
| 1001 | PAT A1001 A+B Format | c++ | 字符串 | |
| 1002 | PAT A1002 A+B for Polynomials | c++ | 水题 | 多项式 |
| 1003 | PAT A1003 Emergency | c++ | 图 | 最短路径 |
| 1004 | PAT A1004 Counting Leaves | c++ | 树 | 树的遍历 |
| 1005 | PAT A1005 Spell It Right | c++ | 字符串 | |
| 1006 | PAT A1006 Sign In and Sign Out | c++ | 水题 | 进制转换 |
| 1007 | PAT A1007 Maximum Subsequence Sum | c++ | 动态规划 | 最大连续子序列和 |
| 1008 | PAT A1008 Elevator | c++ | 水题 | 数学 |
| 1009 | PAT A1009 Product of Polynomials | c++ | 水题 | 进制转换 |
| 1010 | PAT A1010 Radix | c++ | 二分法 | 数据表示：溢出 |
| 1011 | PAT A1011 World Cup Betting | c++ | 水题 | |
| 1012 | PAT A1012 The Best Rank | c++ | 排序 | |
| 1013 | PAT A1013 Battle Over Cities | c++ | 图 | 图的遍历：求联通块数 、并查集 |
| 1014 | PAT A1014 Waiting in Line (30point(s)) | c++ | 队列 | 模拟 |
| 1015 | PAT A1015 Reversible Primes | c++ | 数学 | 素数、进制转换 |
| 1016 | PAT A1016 Phone Bills | c++ | 排序 | |
| 1017 | PAT A1017 Queueing at Bank (25point(s)) | c++ | 队列 | 模拟，优先队列 |
| 1018 | PAT A1018 Public Bike Management | c++ | 图 | 最短路径 |
| 1019 | PAT A1019 General Palindromic Number | c++ | 进制转换 | |
| 1020 | PAT A1020 Tree Traversals | c++ | 树：二叉树 | 后序、中序建树 |
| 1021 | PAT A1021 Deepest Root | c++ | 图 | 图的遍历、并查集求联通块 |
| 1022 | PAT A1022 Digital Library | c++ | STL | map、查找 |
| 1023 | PAT A1023 Have Fun with Numbers | c++ | 数学 | 大整数乘法 |
| 1024 | PAT A1024 Palindromic Number | c++ | 数学 | 大整数加法 |
| 1025 | PAT A1025 PAT Ranking | c++ | 排序 | |
| 1026 | PAT A1026 Table Tennis (30point(s)) | c++ | 快乐模拟 | 没写完 |
| 1027 | PAT A1027 Colors in Mars | c++ | 进制转换 | |
| 1028 | PAT A1028 List Sorting | c++ | 排序 | |
| 1029 | PAT A1029 Median | c++ | 排序、 双指针 | |
| 1030 | PAT A1030 Travel Plan | c++ | 图 | 最短路径 |
| 1031 | PAT A1031 Hello World for U | c++ | 水题 | 图形打印 |
| 1032 | PAT A1032 Sharing | c++ | 链表 | 公共后缀 |
| 1033 | PAT A1033 To Fill or Not to Fill | c++ | 贪心 | |
| 1034 | PAT A1034 Head of a Gang | c++ | 图、并查集 | DFS |
| 1035 | PAT A1035 Password | c++ | 字符串 | |
| 1036 | PAT A1036 Boys vs Girls | c++ | 最值 | |
| 1037 | PAT A1037 Magic Coupon | c++ | 贪心 | |
| 1038 | PAT A1038 Recover the Smallest Number | c++ | 贪心 | |
| 1039 | PAT A1039 Course List for Student | c++ | STL、散列 | map、A1047 |
| 1040 | PAT A1040 Longest Symmetric String (25point(s)) | c++ | 动态规划 | 最长回文子串 |
| 1041 | PAT A1041 Be Unique | c++ | 散列 | |
| 1042 | PAT A1042 Shuffling Machine | c++ | 水题 | |
| 1043 | PAT A1043 Is It a Binary Search Tree | c++ | 树：BST | 二叉排序树 |
| 1044 | PAT A1044 Shopping in Mars | c++ | 双指针法 | 二分法 |
| 1045 | PAT A1045 Favorite Color Stripe (30point(s)) | c++ | 动态规划 | 最长不下降子序列：LIS |
| 1046 | PAT A1046 Shortest Distance | c++ | 水题 | 降维 |
| 1047 | PAT A1047 Student List for Course | c++ | STL、散列 | map、A1039 |
| 1048 | PAT A1048 Find Coins | c++ | 散列 | 双指针 |
| 1049 | PAT A1049 Counting Ones | c++ | 数学 | 递推 |
| 1050 | PAT A1050 String Subtraction | c++ | 散列 | |
| 1051 | PAT A1051 Pop Sequence | c++ | 栈 | 模拟栈 |
| 1052 | PAT A1052 Linked List Sorting | c++ | 链表 | 链表排序 |
| 1053 | PAT A1053 Path of Equal Weight | c++ | 树 | DFS |
| 1054 | PAT A1054 The Dominant Color | c++ | STL | map、特殊 |
| 1055 | PAT A1055 The World’s Richest | c++ | 排序 | |
| 1056 | PAT A1056 Mice and Rice | c++ | 队列 | |
| 1057 | PAT A1057 Stack | c++ | 在线查询 | 分块查找、树状数组 |
| 1058 | PAT A1058 A+B in Hogwarts | c++ | 进制转换 | |
| 1059 | PAT A1059 Prime Factors | c++ | 数学 | 分解质因数 |
| 1060 | PAT A1060 Are They Equal | c++ | 字符串、数学 | 科学计数法 |
| 1061 | PAT A1061 Dating | c++ | 字符串 | |
| 1062 | PAT A1062 Talent and Virtue | c++ | 排序 | |
| 1063 | PAT A1063 Set Similarity | c++ | STL、并查集 | set |
| 1064 | PAT A1064 Complete Binary Search Tree | c++ | 树 | BST，CBT，树的遍历 同1099 |
| 1065 | PAT A1065 A+B and C (64bit) | c++ | 计组 | 溢出判断 |
| 1066 | PAT A1066 Root of AVL Tree | c++ | 树 | AVL |
| 1067 | PAT A1067 Sort with Swap(0, i) | c++ | 贪心 | |
| 1068 | PAT A1068 Find More Coins (30point(s)) | c++ | 动态规划 | 01背包问题 |
| 1069 | PAT A1069 The Black Hole of Numbers | c++ | 数学、字符串 | |
| 1070 | PAT A1070 Mooncake | c++ | 贪心 | |
| 1071 | PAT A1071 Speech Patterns | c++ | STL 、字符串 | map、分词 |
| 1072 | PAT A1072 Gas Station | c++ | 图 | 最短路径 |
| 1073 | PAT A1073 Scientific Notation | c++ | 字符串 | |
| 1074 | PAT A1074 Reversing Linked List | c++ | 链表 | 头插法、链表翻转 |
| 1075 | PAT A1075 PAT Judge | c++ | 排序 | |
| 1076 | PAT A1076 Forwards on Weibo | c++ | 图 | BFS |
| 1077 | PAT A1077 Kuchiguse | c++ | 字符串 | 公共suffix |
| 1078 | PAT A1078 Hashing | c++ | 散列 | 平方探测法 |
| 1079 | PAT A1079 Total Sales of Supply Chain | c++ | 树 | 树的遍历 A1090 A1106 |
| 1080 | PAT A1080 Graduate Admission | c++ | 排序 | 排名 |
| 1081 | PAT A1081 Rational Sum | c++ | 数学 | 分数四则运算 |
| ★1082 | PAT A1082 Read Number in Chinese | c++ | 字符串 | |
| 1083 | PAT A1083 List Grades | c++ | 排序 | |
| 1084 | PAT A1084 Broken Keyboard | c++ | 散列 | 双指针 |
| 1085 | PAT A1085 Perfect Sequence | c++ | 二分法、双指针法 | |
| 1086 | PAT A1086 Tree Traversals Again | c++ | 树 | 树的遍历：前中 转 后 |
| 1087 | PAT A1087 All Roads Lead to Rome | c++ | 图 | 最短路径 |
| 1088 | PAT A1088 Rational Arithmetic | c++ | 数学 | 分数四则运算 |
| 1089 | PAT A1089 Insert or Merge | c++ | 排序、双指针法 | 归并、插入排序 同 A1098 |
| 1090 | PAT A1090 Highest Price in Supply Chain | c++ | 树 | 树的遍历 A1079 A1106 |
| 1091 | PAT A1091 Acute Stroke | c++ | 图 | BFS、栈实现DFS |
| 1092 | PAT A1092 To Buy or Not to Buy | c++ | 字符串 | 散列 |
| 1093 | PAT A1093 Count PAT’s | c++ | 递推 | 打表 |
| 1094 | PAT A1094 The Largest Generation | c++ | 树 | 树的遍历 |
| 1095 | PAT A1095 Cars on Campus | c++ | 排序 | 打表、参考Phone Bills |
| 1096 | PAT A1096 Consecutive Factors (20point(s)) | c++ | 数学 | 分解质因子 |
| 1097 | PAT A1097 Deduplication on a Linked List | c++ | 链表 | 链表删除 |
| 1098 | PAT A1098 Insertion or Heap Sort (思路3：make_heap()等函数用法) | c++ | 排序 | 堆 Heap 同 A1089 |
| 1099 | PAT A1099 Build A Binary Search Tree | c++ | 树 | BST、树的遍历 同 A1064 |
| 1100 | PAT A1100 Mars Numbers | c++ | STL | map、进制转换 |
| 1101 | PAT A1101 Quick Sort | c++ | 排序 | 快排、打表法 |
| 1102 | PAT A1102 Invert a Binary Tree | c++ | 树 | 翻转遍历 |
| 1103 | PAT A1103 Integer Factorization | c++ | 图 | DFS |
| 1104 | PAT A1104 Sum of Number Segments | c++ | 数学 | |
| 1105 | PAT A1105 Spiral Matrix | c++ | 图形输出 | 增量数组，控制方向 |
| 1106 | PAT A1106 Lowest Price in Supply Chain | c++ | 树 | 树的遍历 同A1090，及1079 |
| ★1107 | PAT A1107 Social Clusters | c++ | 并查集 | |
| ★1108 | PAT A1108 Finding Average | c++ | 字符串 | sscanf，sprintf用法 |
| 1109 | PAT A1109 Group Photo | c++ | 图形输出 | 双端队列，增量数组 |
| 1110 | PAT A1110 Complete Binary Tree (25point(s)) | c++ | 树 | 树的遍历：完全二叉树 |
| 1111 | PAT A1111 Online Map | c++ | 图 | 最短路径 |
| 1112 | PAT A1112 Stucked Keyboard | c++ | 字符串 | 双指针法 |
| 1113 | PAT A1113 Integer Set Partition | c++ | 水题 | 贪心 |
| 1114 | PAT A1114 Family Property | c++ | 并查集 | 记数并查集 同 A1118 Birds and Forest |
| 1115 | PAT A1115 Counting Nodes in a BST | c++ | 树 | BST：插入，遍历 |
| 1116 | PAT A1116 Come on! Let’s C | c++ | 水题 | 数学 |
| 1117 | PAT A1117 Eddington Number | c++ | 水题 | 数学 |
| 1118 | PAT A1118 Birds in Forest | c++ | 并查集 | 统计数量 |
| 1119 | PAT A1119 Pre- and Post-order Traversals | c++ | 树 | 前序后序建树 |
| 1120 | PAT A1120 Friend Numbers | c++ | 散列、STL | map |
| 1121 | PAT A1121 Damn Single | c++ | 散列 | 危险品问题 |
| 1122 | PAT A1122 Hamiltonian Cycle | c++ | 图 | 简单环路 |
| 1123 | PAT A1123 Is It a Complete AVL Tree | c++ | 树 | AVL，CBT |
| 1124 | PAT A1124 Raffle for Weibo Followers | c++ | 散列 | 线性探测 |
| 1125 | PAT A1125 Chain the Ropes | c++ | 贪心 | |
| 1126 | PAT A1126 Eulerian Path | c++ | 图论 | 图论 : 欧拉环 |
| 1127 | PAT A1127 ZigZagging on a Tree | c++ | 树 | 后序中序建树 |
| 1128 | PAT A1128 N Queens Puzzle | c++ | 图 | N皇后 |
| ★1129 | PAT A1129 Recommendation System | c++ | 排序 | 下标排序，容器重写排序规则 |
| 1130 | PAT A1130 Infix Expression | c++ | 树 | 中缀表达式树，遍历 |
| 1131 | PAT A1131 Subway Map (30point(s)) | c++ | 图 | 最短路径，堆优化.，剪枝 |
| 1132 | PAT A1132 Cut Integer | c++ | 水题 | 字符串 |
| 1133 | PAT A1133 Splitting A Linked List | c++ | 链表 | 链表排序 |
| 1134 | PAT A1134 Vertex Cover | c++ | 图 | 图论: 联通块数， 遍历 |
| ★1135 | PAT A1135 Is It A Red-Black Tree (30point(s)) | c++ | 树 | 红黑树 |
| 1136 | PAT A1136 A Delayed Palindrome | c++ | 字符串 | 回文数，大整数加法 |
| ★1137 | PAT A1137 Final Grading | c++ | 排序 | |
| 1138 | PAT A1138 Postorder Traversal | c++ | 树 | 前序 中序转后序 |
| ★1139 | PAT A1139 First Contact (30point(s)) | c++ | 图 | 枚举 |
| 1140 | PAT A1140 Look-and-say Sequence | c++ | 字符串 | 双指针法 |
| 1141 | PAT A1141 PAT Ranking of Institutions | c++ | 排序 | |
| 1142 | PAT A1142 Maximal Clique (25point(s)) | c++ | 图 | 图论 |
| 1143 | PAT A1143 Lowest Common Ancestor | c++ | 树 | LCA：最小公共祖先 |
| 1144 | PAT A1144 The Missing Number | c++ | 散列 | 水题 |
| ★1145 | PAT A1145 Hashing - Average Search Time | c++ | 散列 | 平方探测 |
| 1146 | PAT A1146 Topological Order (25point(s)) | c++ | 图 | 图论：拓扑排序 |
| 1147 | PAT A1147 Heaps (30point(s)) | c++ | 树 | 堆 Heap |
| 1148 | 1148 Werewolf - Simple Version (20point(s)) | c++ | 模拟 | 枚举 |
| 1149 | PAT A1149 Dangerous Goods Packaging (25point(s)) | c++ | 散列 | Multimap |
| 1150 | PAT A1150 Travelling Salesman Problem (25point(s)) | c++ | 图 | 图论 ：简单环 |
| 1151 | PAT A1151 LCA in a Binary Tree | c++ | 树 | LCA：最小公共祖先 |
| 1152 | PAT A1152 Google Recruitment | c++ | 数学 | 素数 |
| 1153 | PAT A1153 Decode Registration Card of PAT (25point(s)) | c++ | 排序 | 结构体排序 |
| 1154 | PAT A1154 Vertex Coloring (25point(s)) | c++ | 图 | 图论：Vertex Coloring |
| 1155 | PAT A1155 Heap Paths (30point(s)) | c++ | 树 | 堆 Heap |
