From d6e3b4167702cc4ba471610d9bf16a15e9bb105f Mon Sep 17 00:00:00 2001 From: Frank Date: Wed, 27 Jan 2016 04:57:40 -0500 Subject: [PATCH 01/19] Added an solution for Word Ladder II --- C++/chapBFS.tex | 181 +++++++++++++++++++++++++++++++++++++++++-- C++/leetcode-cpp.pdf | Bin 847039 -> 851784 bytes 2 files changed, 175 insertions(+), 6 deletions(-) diff --git a/C++/chapBFS.tex b/C++/chapBFS.tex index 106b8e41..af7ff06c 100644 --- a/C++/chapBFS.tex +++ b/C++/chapBFS.tex @@ -87,6 +87,7 @@ \subsubsection{单队列} for (size_t i = 0; i < s.word.size(); ++i) { state_t new_state(s.word, s.step + 1); for (char c = 'a'; c <= 'z'; c++) { + // 防止同字母替换 if (c == new_state.word[i]) continue; swap(c, new_state.word[i]); @@ -150,6 +151,7 @@ \subsubsection{双队列} for (size_t i = 0; i < s.size(); ++i) { string new_word(s); for (char c = 'a'; c <= 'z'; c++) { + // 防止同字母替换 if (c == new_word[i]) continue; swap(c, new_word[i]); @@ -235,12 +237,11 @@ \subsubsection{描述} \subsubsection{分析} 跟 Word Ladder比,这题是求路径本身,不是路径长度,也是BFS,略微麻烦点。 -这题跟普通的广搜有很大的不同,就是要输出所有路径,因此在记录前驱和判重地方与普通广搜略有不同。 +求一条路径和求所有路径有很大的不同,求一条路径,每个状态节点只需要记录一个前驱即可;求所有路径时,有的状态节点可能有多个父节点,即要记录多个前驱。 +如果当前路径长度已经超过当前最短路径长度,可以中止对该路径的处理,因为我们要找的是最短路径。 -\subsubsection{单队列} - -单队列无法求解所有路径。因为 需要一个 \fn{queue} 和 \fn{unordered_set} 的综合体,这是不可能的。 +单队列无法求解所有路径。因为 需要一个 \fn{queue} 和 \fn{unordered_set} 的综合体,这是不可能的。本题可以用双队列来求解。 \subsubsection{双队列} @@ -259,6 +260,8 @@ \subsubsection{双队列} unordered_set visited; // 判重 unordered_map > father; // DAG + int level = 0; // 层次 + auto state_is_target = [&](const string &s) {return s == end;}; auto state_extend = [&](const string &s) { unordered_set result; @@ -266,6 +269,7 @@ \subsubsection{双队列} for (size_t i = 0; i < s.size(); ++i) { string new_word(s); for (char c = 'a'; c <= 'z'; c++) { + // 防止同字母替换 if (c == new_word[i]) continue; swap(c, new_word[i]); @@ -284,6 +288,11 @@ \subsubsection{双队列} vector > result; current.insert(start); while (!current.empty()) { + ++ level; + // 如果当前路径长度已经超过当前最短路径长度,可以中止对该路径的 + // 处理,因为我们要找的是最短路径 + if (!result.empty() && level > result[0].size()) break; + // 1. 延迟加入visited, 这样才能允许两个父节点指向同一个子节点 // 2. 一股脑current 全部加入visited, 是防止本层前一个节点扩展 // 节点时,指向了本层后面尚未处理的节点,这条路径必然不是最短的 @@ -314,7 +323,18 @@ \subsubsection{双队列} vector > &result) { path.push_back(word); if (word == start) { - result.push_back(path); + if (!result.empty()) { + if (path.size() < result[0].size()) { + result.clear(); + result.push_back(path); + } else if(path.size() == result[0].size()) { + result.push_back(path); + } else { + // throw exception + } + } else { + result.push_back(path); + } reverse(result.back().begin(), result.back().end()); } else { for (const auto& f : father[word]) { @@ -327,6 +347,137 @@ \subsubsection{双队列} \end{Code} +\subsubsection{图的广搜} + +本题还可以看做是图上的广搜。给定了字典 \fn{dict},可以基于它画出一个无向图,表示单词之间可以互相转换。本题的本质就是已知起点和终点,在图上找出所有最短路径。 + +\begin{Code} +//LeetCode, Word Ladder II +// 时间复杂度O(n),空间复杂度O(n) +class Solution { +public: + vector > findLadders(const string& start, + const string &end, const unordered_set &dict) { + const auto& g = build_graph(dict); + vector pool; + queue q; // 未处理的节点 + // value 是所在层次 + unordered_map visited; + + q.push(new_path_node(nullptr, start, 1, pool)); + visited[start] = 1; + + vector> result; + while (!q.empty()) { + path_node_t* node = q.front(); + q.pop(); + + // 如果当前路径长度已经超过当前最短路径长度, + // 可以中止对该路径的处理,因为我们要找的是最短路径 + if (!result.empty() && node->length > result[0].size()) break; + + if (node->word == end) { + result.push_back(gen_path(node)); + continue; + } + // 挪到了下面,只有尽早加入visited, 才能防止,同一层, + // 前面一个子节点扩展时,指向同层后面的节点 + // visited[node->word] = node->length; + + // 扩展节点 + auto iter = g.find(node->word); + if (iter == g.end()) continue; + + for (const auto& neighbor : iter->second) { + auto visited_iter = visited.find(neighbor); + + if (visited_iter != visited.end()) { + if (visited_iter->second < node->length + 1) { + continue; + } else if (visited_iter->second > node->length + 1) { + // not possible, throw exception + // throw std::logic_error("not possible"); + } else { + // do nothing + } + } else { + visited[neighbor] = node->length + 1; + } + + q.push(new_path_node(node, neighbor, node->length + 1, pool)); + } + } + + // release path nodes + for (auto node : pool) { + delete node; + } + return result; + } + +private: + struct path_node_t { + path_node_t* father; + string word; + int length; // 路径长度 + + path_node_t(path_node_t* father_, const string& word_, int length_) : + father(father_), word(word_), length(length_) {} + }; + + path_node_t* new_path_node(path_node_t* parent, const string& value, + int length, vector& pool) { + path_node_t* node = new path_node_t(parent, value, length); + pool.push_back(node); + + return node; + } + vector gen_path(const path_node_t* node) { + vector path; + + while(node != nullptr) { + path.push_back(node->word); + node = node->father; + } + + reverse(path.begin(), path.end()); + return path; + } + + unordered_map > build_graph( + const unordered_set& dict) { + unordered_map > adjacency_list; + + for (const auto& word : dict) { + for (size_t i = 0; i < word.size(); ++i) { + string new_word(word); + for (char c = 'a'; c <= 'z'; c++) { + // 防止同字母替换 + if (c == new_word[i]) continue; + + swap(c, new_word[i]); + + if ((dict.find(new_word) != dict.end())) { + auto iter = adjacency_list.find(word); + if (iter != adjacency_list.end()) { + iter->second.insert(new_word); + } + else { + adjacency_list.insert(pair>(word, unordered_set())); + adjacency_list[word].insert(new_word); + } + } + swap(c, new_word[i]); // 恢复该单词 + } + } + } + return adjacency_list; + } +}; +\end{Code} + + \subsubsection{相关题目} \begindot @@ -575,7 +726,18 @@ \subsubsection{如何表示状态} vector > &result) { path.push_back(state); if (state == start) { - result.push_back(path); + if (!result.empty()) { + if (path.size() < result[0].size()) { + result.clear(); + result.push_back(path); + } else if(path.size() == result[0].size()) { + result.push_back(path); + } else { + // throw exception + } + } else { + result.push_back(path); + } reverse(result.back().begin(), result.back().end()); } else { for (const auto& f : father[state]) { @@ -753,6 +915,7 @@ \subsubsection{求所有路径} unordered_set visited; // 判重 unordered_map > father; // DAG + int level = 0; // 层次 // 判断状态是否合法 auto state_is_valid = [&](const state_t &s) { /*...*/ }; @@ -776,6 +939,11 @@ \subsubsection{求所有路径} vector > result; current.insert(start); while (!current.empty()) { + ++ level; + // 如果当前路径长度已经超过当前最短路径长度,可以中止对该路径的 + // 处理,因为我们要找的是最短路径 + if (!result.empty() && level > result[0].size()) break; + // 1. 延迟加入visited, 这样才能允许两个父节点指向同一个子节点 // 2. 一股脑current 全部加入visited, 是防止本层前一个节点扩展 // 节点时,指向了本层后面尚未处理的节点,这条路径必然不是最短的 @@ -802,3 +970,4 @@ \subsubsection{求所有路径} return result; } \end{Codex} + diff --git a/C++/leetcode-cpp.pdf b/C++/leetcode-cpp.pdf index 686908b391cc284af6b63986a4b0c460b30b9262..f1fa53e91226dedb49168547960bed7caaab0e4c 100644 GIT binary patch delta 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zrjxW>Ing0HpT$u~YyAo~Tj@@2eJ_FR=-_}s=uY~q+3&XQ*+X9}z-DcjI17^j)BvXj}eF1gHADn*Iee=H2HuBnkx3|^6VD<+LiXk zkR!w*Td3}5yj%Xm<`f~0 Date: Fri, 12 Feb 2016 10:00:39 -0800 Subject: [PATCH 04/19] Corrected section labels --- C++/chapImplement.tex | 6 +++--- C++/chapLinearList.tex | 8 ++++---- C++/chapSorting.tex | 8 ++++---- C++/chapStackAndQueue.tex | 2 +- C++/chapTree.tex | 6 +++--- 5 files changed, 15 insertions(+), 15 deletions(-) diff --git a/C++/chapImplement.tex b/C++/chapImplement.tex index 28c53f61..40b88a2b 100644 --- a/C++/chapImplement.tex +++ b/C++/chapImplement.tex @@ -556,7 +556,7 @@ \subsubsection{相关题目} \section{Pascal's Triangle} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\label{sec:pascals-triangle} +\label{sec:pascal-s-triangle} \subsubsection{描述} @@ -638,7 +638,7 @@ \subsubsection{相关题目} \section{Pascal's Triangle II} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\label{sec:pascals-triangle-ii} +\label{sec:pascal-s-triangle-ii} \subsubsection{描述} @@ -1098,7 +1098,7 @@ \subsubsection{相关题目} \section{Max Points on a Line} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\label{sec:Max-Points-on-a-Line} +\label{sec:max-points-on-a-line} \subsubsection{描述} diff --git a/C++/chapLinearList.tex b/C++/chapLinearList.tex index 76ac9624..bbc0ec1c 100644 --- a/C++/chapLinearList.tex +++ b/C++/chapLinearList.tex @@ -2666,7 +2666,7 @@ \subsubsection{相关题目} \subsection{Linked List Cycle} -\label{sec:Linked-List-Cycle} +\label{sec:linked-list-cycle} \subsubsection{描述} @@ -2709,7 +2709,7 @@ \subsubsection{相关题目} \subsection{Linked List Cycle II} -\label{sec:Linked-List-Cycle-II} +\label{sec:linked-list-cycle-ii} \subsubsection{描述} @@ -2769,7 +2769,7 @@ \subsubsection{相关题目} \subsection{Reorder List} -\label{sec:Reorder-List} +\label{sec:reorder-list} \subsubsection{描述} @@ -2841,7 +2841,7 @@ \subsubsection{相关题目} \subsection{LRU Cache} -\label{sec:LRU-Cachet} +\label{sec:lru-cache} \subsubsection{描述} diff --git a/C++/chapSorting.tex b/C++/chapSorting.tex index 39c31fd3..c20162d4 100644 --- a/C++/chapSorting.tex +++ b/C++/chapSorting.tex @@ -1,7 +1,7 @@ \chapter{排序} -\section{Merge Sorted Array} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\label{sec:merge-sorted-array} +\section{Merge Two Sorted Arrays} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\label{sec:merge-two-sorted-arrays} \subsubsection{描述} @@ -139,7 +139,7 @@ \subsubsection{相关题目} \section{Insertion Sort List} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\label{sec:Insertion-Sort-List} +\label{sec:insertion-sort-list} \subsubsection{描述} @@ -188,7 +188,7 @@ \subsubsection{相关题目} \section{Sort List} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\label{sec:Sort-List} +\label{sec:sort-list} \subsubsection{描述} diff --git a/C++/chapStackAndQueue.tex b/C++/chapStackAndQueue.tex index fd130ee0..9dacb601 100644 --- a/C++/chapStackAndQueue.tex +++ b/C++/chapStackAndQueue.tex @@ -242,7 +242,7 @@ \subsubsection{相关题目} \subsection{Evaluate Reverse Polish Notation} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\label{sec:Evaluate-Reverse-Polish-Notation} +\label{sec:evaluate-reverse-polish-notation} \subsubsection{描述} diff --git a/C++/chapTree.tex b/C++/chapTree.tex index 5453fb71..4a13b126 100644 --- a/C++/chapTree.tex +++ b/C++/chapTree.tex @@ -368,7 +368,7 @@ \subsubsection{相关题目} \subsection{Binary Tree Level Order Traversal} -\label{sec:binary-tree-tevel-order-traversal} +\label{sec:binary-tree-level-order-traversal} \subsubsection{描述} @@ -623,8 +623,8 @@ \subsubsection{递归版} \subsubsection{迭代版} \begin{Code} -//LeetCode, Binary Tree Zigzag Level Order Traversal -//广度优先遍历,用一个bool记录是从左到右还是从右到左,每一层结束就翻转一下。 +// LeetCode, Binary Tree Zigzag Level Order Traversal +// 广度优先遍历,用一个bool记录是从左到右还是从右到左,每一层结束就翻转一下。 // 迭代版,时间复杂度O(n),空间复杂度O(n) class Solution { public: From a4291d8a8c057e9649e2b0ee15aeab4ae9a3b032 Mon Sep 17 00:00:00 2001 From: Xieyang Liu Date: Sat, 13 Feb 2016 15:51:34 -0500 Subject: [PATCH 05/19] revised: merge k sorted lists --- C++/chapSorting.tex | 49 +++++++++++++++++++++++++-------------------- 1 file changed, 27 insertions(+), 22 deletions(-) diff --git a/C++/chapSorting.tex b/C++/chapSorting.tex index c20162d4..f686e0a3 100644 --- a/C++/chapSorting.tex +++ b/C++/chapSorting.tex @@ -101,31 +101,36 @@ \subsubsection{代码} // TODO: 会超时 class Solution { public: - ListNode *mergeKLists(vector &lists) { - if (lists.size() == 0) return nullptr; - ListNode *p = lists[0]; - for (int i = 1; i < lists.size(); i++) { - p = mergeTwoLists(p, lists[i]); + ListNode * mergeTwo(ListNode * l1, ListNode * l2){ + if(!l1) return l2; + if(!l2) return l1; + ListNode dummy(-1); + ListNode * p = &dummy; + for(; l1 && l2; p = p->next){ + if(l1->val > l2->val){ + p->next = l2; l2 = l2->next; + } + else{ + p->next = l1; l1 = l1->next; + } } - return p; + p->next = l1 ? l1 : l2; + return dummy.next; } - // Merge Two Sorted Lists - ListNode *mergeTwoLists(ListNode *l1, ListNode *l2) { - ListNode head(-1); - for (ListNode* p = &head; l1 != nullptr || l2 != nullptr; p = p->next) { - int val1 = l1 == nullptr ? INT_MAX : l1->val; - int val2 = l2 == nullptr ? INT_MAX : l2->val; - if (val1 <= val2) { - p->next = l1; - l1 = l1->next; - } else { - p->next = l2; - l2 = l2->next; - } + ListNode* mergeKLists(vector& lists) { + if(lists.size() == 0) return nullptr; + + // multi pass + deque dq(lists.begin(), lists.end()); + while(dq.size() > 1){ + ListNode * first = dq.front(); dq.pop_front(); + ListNode * second = dq.front(); dq.pop_front(); + dq.push_back(mergeTwo(first,second)); } - return head.next; + + return dq.front(); } }; \end{Code} @@ -276,7 +281,7 @@ \subsubsection{代码} public: int firstMissingPositive(vector& nums) { bucket_sort(nums); - + for (int i = 0; i < nums.size(); ++i) if (nums[i] != (i + 1)) return i + 1; @@ -385,7 +390,7 @@ \subsubsection{代码3} class Solution { public: void sortColors(vector& nums) { - partition(partition(nums.begin(), nums.end(), bind1st(equal_to(), 0)), + partition(partition(nums.begin(), nums.end(), bind1st(equal_to(), 0)), nums.end(), bind1st(equal_to(), 1)); } }; From d4ee008ca19c3c58af54a92214f5d09a35dd9057 Mon Sep 17 00:00:00 2001 From: Xieyang Liu Date: Sat, 13 Feb 2016 15:52:48 -0500 Subject: [PATCH 06/19] revised merge k sorted lists --- C++/chapSorting.tex | 1 - 1 file changed, 1 deletion(-) diff --git a/C++/chapSorting.tex b/C++/chapSorting.tex index f686e0a3..f92c115a 100644 --- a/C++/chapSorting.tex +++ b/C++/chapSorting.tex @@ -98,7 +98,6 @@ \subsubsection{代码} \begin{Code} //LeetCode, Merge k Sorted Lists // 时间复杂度O(n1+n2+...),空间复杂度O(1) -// TODO: 会超时 class Solution { public: From 82e194f77d5962787324f23cad5e54b5e5c28a86 Mon Sep 17 00:00:00 2001 From: Frank Date: Wed, 24 Feb 2016 23:20:09 -0800 Subject: [PATCH 07/19] Fixed isValidBST() --- C++/chapTree.tex | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/C++/chapTree.tex b/C++/chapTree.tex index 4a13b126..7e70c7b5 100644 --- a/C++/chapTree.tex +++ b/C++/chapTree.tex @@ -1447,15 +1447,15 @@ \subsubsection{分析} \subsubsection{代码} \begin{Code} -// LeetCode, Validate Binary Search Tree +// Validate Binary Search Tree // 时间复杂度O(n),空间复杂度O(\logn) class Solution { public: bool isValidBST(TreeNode* root) { - return isValidBST(root, INT_MIN, INT_MAX); + return isValidBST(root, LONG_MIN, LONG_MAX); } - bool isValidBST(TreeNode* root, int lower, int upper) { + bool isValidBST(TreeNode* root, long long lower, long long upper) { if (root == nullptr) return true; return root->val > lower && root->val < upper From 3176cb3c81863a0434f537d287ab3e3e210c80a3 Mon Sep 17 00:00:00 2001 From: cPolaris Date: Wed, 20 Apr 2016 11:19:06 -0400 Subject: [PATCH 08/19] memorization -> memoization --- C++/chapDFS.tex | 4 ++-- C++/chapDynamicProgramming.tex | 2 +- 2 files changed, 3 insertions(+), 3 deletions(-) diff --git a/C++/chapDFS.tex b/C++/chapDFS.tex index 2c9f0ab8..f6c4c107 100644 --- a/C++/chapDFS.tex +++ b/C++/chapDFS.tex @@ -1248,8 +1248,8 @@ \subsection{深搜与递归的区别} 递归有两种加速策略,一种是\textbf{剪枝(prunning)},对中间结果进行判断,提前返回;一种是\textbf{缓存},缓存中间结果,防止重复计算,用空间换时间。 -其实,递归+缓存,就是 memorization。所谓\textbf{memorization}(翻译为备忘录法,见第 \S \ref{sec:dp-vs-memorization}节),就是"top-down with cache"(自顶向下+缓存),它是Donald Michie 在1968年创造的术语,表示一种优化技术,在top-down 形式的程序中,使用缓存来避免重复计算,从而达到加速的目的。 +其实,递归+缓存,就是 memoization。所谓\textbf{memoization}(翻译为备忘录法,见第 \S \ref{sec:dp-vs-memoization}节),就是"top-down with cache"(自顶向下+缓存),它是Donald Michie 在1968年创造的术语,表示一种优化技术,在top-down 形式的程序中,使用缓存来避免重复计算,从而达到加速的目的。 -\textbf{memorization 不一定用递归},就像深搜不一定用递归一样,可以在迭代(iterative)中使用 memorization 。\textbf{递归也不一定用 memorization},可以用memorization来加速,但不是必须的。只有当递归使用了缓存,它才是 memorization 。 +\textbf{memoization 不一定用递归},就像深搜不一定用递归一样,可以在迭代(iterative)中使用 memoization 。\textbf{递归也不一定用 memoization},可以用memoization来加速,但不是必须的。只有当递归使用了缓存,它才是 memoization 。 既然递归一定是深搜,为什么很多书籍都同时使用这两个术语呢?在递归味道更浓的地方,一般用递归这个术语,在深搜更浓的场景下,用深搜这个术语,读者心里要弄清楚他俩大部分时候是一回事。在单链表、二叉树等递归数据结构上,递归的味道更浓,这时用递归这个术语;在图、隐式图等数据结构上,深搜的味道更浓,这时用深搜这个术语。 diff --git a/C++/chapDynamicProgramming.tex b/C++/chapDynamicProgramming.tex index 93a655d5..5327de51 100644 --- a/C++/chapDynamicProgramming.tex +++ b/C++/chapDynamicProgramming.tex @@ -514,7 +514,7 @@ \subsubsection{描述} \subsubsection{分析} -首先想到的是递归(即深搜),对两个string进行分割,然后比较四对字符串。代码虽然简单,但是复杂度比较高。有两种加速策略,一种是剪枝,提前返回;一种是加缓存,缓存中间结果,即memorization(翻译为记忆化搜索)。 +首先想到的是递归(即深搜),对两个string进行分割,然后比较四对字符串。代码虽然简单,但是复杂度比较高。有两种加速策略,一种是剪枝,提前返回;一种是加缓存,缓存中间结果,即memoization(翻译为记忆化搜索)。 剪枝可以五花八门,要充分观察,充分利用信息,找到能让节点提前返回的条件。例如,判断两个字符串是否互为scamble,至少要求每个字符在两个字符串中出现的次数要相等,如果不相等则返回false。 From ba2763730309cf5709cddc37f5c9d4e71dc2b9a9 Mon Sep 17 00:00:00 2001 From: soulmachine Date: Tue, 3 May 2016 09:43:08 -0700 Subject: [PATCH 09/19] Upgraded TexLive to 2015 --- README.md | 26 +++++++++++++------------- 1 file changed, 13 insertions(+), 13 deletions(-) diff --git a/README.md b/README.md index 21fce47a..4de91718 100644 --- a/README.md +++ b/README.md @@ -11,8 +11,8 @@ Java 文件夹下是Java版,目前正在编写中,由于拖延症,不知 本书使用的是陈硕开源的[模板](https://github.com/chenshuo/typeset)。这个模板制作精良,很有taste,感谢陈硕 :) ##在Windows下编译 -1. 安装Tex Live 2013 。把bin目录例如`D:\texlive\2013\bin\win32`加入PATH环境变量。 -1. 安装字体。这个LaTex模板总共使用了9个字体,下载地址 ,有的字体Windows自带了,有的字体Ubuntu自带了,但都不全,还是一次性安装完所有字体比较方便。 +1. 安装Tex Live 2015 。把bin目录例如`D:\texlive\2015\bin\win32`加入PATH环境变量。 +1. 安装字体。这个LaTex模板总共使用了10个字体,下载地址 ,有的字体Windows自带了,有的字体Ubuntu自带了,但都不全,还是一次性安装完所有字体比较方便。 1. 安装TeXstudio 1. (可选)启动Tex Live Manager,更新所有已安装的软件包。 1. 配置TeXstudio。 @@ -27,25 +27,25 @@ Java 文件夹下是Java版,目前正在编写中,由于拖延症,不知 PDF Viewer 改为 “Internal PDF Viewer(windowed)”,这样预览时会弹出一个独立的窗口,这样比较方便。 -1. 编译。用TeXstudio打开`leetcode-cpp.tex`,点击界面上的绿色箭头就可以开始编译了。 +1. 编译。用TeXstudio打开`typeset.tex`,点击界面上的绿色箭头就可以开始编译了。 - 在下方的窗口可以看到TeXstudio正在使用的编译命令是`xelatex -synctex=1 -interaction=nonstopmode "leetcode-cpp".tex` + 在下方的窗口可以看到TeXstudio正在使用的编译命令是`xelatex -synctex=1 -interaction=nonstopmode "typeset".tex` ##在Ubuntu下编译 -1. 安装Tex Live 2013 +1. 安装Tex Live 2015 - 1.1. 下载TexLive 2013 的ISO 光盘,地址 + 1.1. 下载TexLive 2015 的ISO 光盘,地址 1.2 mount 光盘,`sudo ./install-tl` 开始安装 1.3 加入环境变量 sudo vi /etc/profile - export PATH=$PATH:/usr/local/texlive/2013/bin/x86_64-linux - export MANPATH=$MANPATH:/usr/local/texlive/2013/texmf-dist/doc/man - export INFPATH=$INFPATH:/usr/local/texlive/2013/texmf-dist/doc/info + export PATH=$PATH:/usr/local/texlive/2015/bin/x86_64-linux + export MANPATH=$MANPATH:/usr/local/texlive/2015/texmf-dist/doc/man + export INFPATH=$INFPATH:/usr/local/texlive/2015/texmf-dist/doc/info -1. 安装字体。这个LaTex模板总共使用了9个字体,下载地址 ,有的字体Windows自带了,有的字体Ubuntu自带了,但都不全,还是一次性安装完所有字体比较方便。 +1. 安装字体。这个LaTex模板总共使用了10个字体,下载地址 ,有的字体Windows自带了,有的字体Ubuntu自带了,但都不全,还是一次性安装完所有字体比较方便。 1. 安装TeXstudio 1. 配置TeXstudio。 @@ -59,10 +59,10 @@ Java 文件夹下是Java版,目前正在编写中,由于拖延症,不知 PDF Viewer 改为 “Internal PDF Viewer(windowed)”,这样预览时会弹出一个独立的窗口,这样比较方便。 -1. 编译。用TeXstudio打开`leetcode-cpp.tex`,点击界面上的绿色箭头就可以开始编译了。 +1. 编译。用TeXstudio打开`typeset.tex`,点击界面上的绿色箭头就可以开始编译了。 - 在下方的窗口可以看到TeXstudio正在使用的编译命令是`xelatex -synctex=1 -interaction=nonstopmode "leetcode-cpp".tex` -1. 懒人版镜像。如果不想进行上面繁琐的安装过程,我做好了一个Ubuntu VMware虚拟机镜像,已经装好了TexLive 2013, TexStudio和字体(详细的安装日志见压缩包注释),开箱即用,下载地址 。 + 在下方的窗口可以看到TeXstudio正在使用的编译命令是`xelatex -synctex=1 -interaction=nonstopmode "typeset".tex` +1. 懒人版镜像。如果不想进行上面繁琐的安装过程,我做好了一个Ubuntu VMware虚拟机镜像,已经装好了 TexLive 2015, TexStudio和字体(详细的安装日志见压缩包注释),开箱即用,下载地址 。 ##如何贡献代码 编译通过后,就具备了完整的LaTeX编译环境了。 From f4f7a4abef4f95dd25906c3f40f471f8c8461364 Mon Sep 17 00:00:00 2001 From: soulmachine Date: Mon, 31 Oct 2016 11:08:31 -0700 Subject: [PATCH 10/19] Added gitbook link --- README.md | 3 +++ 1 file changed, 3 insertions(+) diff --git a/README.md b/README.md index 4de91718..734cdc83 100644 --- a/README.md +++ b/README.md @@ -1,5 +1,8 @@ #LeetCode题解 ----------------- +## 在线阅读 + + ##PDF下载 LeetCode题解(C++版).pdf From 256581f3e24dd756646b8fc6027781b197e2d5d3 Mon Sep 17 00:00:00 2001 From: soulmachine Date: Thu, 20 Apr 2017 19:10:03 -0700 Subject: [PATCH 11/19] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=E5=B0=8F=E5=AF=86?= =?UTF-8?q?=E5=9C=88?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- README.md | 6 +++--- .../silicon-job.png" | Bin 0 -> 83370 bytes 2 files changed, 3 insertions(+), 3 deletions(-) create mode 100644 "\345\217\202\350\200\203\350\265\204\346\226\231/silicon-job.png" diff --git a/README.md b/README.md index 734cdc83..f40ec8d0 100644 --- a/README.md +++ b/README.md @@ -74,13 +74,13 @@ Java 文件夹下是Java版,目前正在编写中,由于拖延症,不知 欢迎给本书添加内容或纠正错误,在自己本地编译成PDF,预览没问题后,就可以发pull request过来了。 -##北美求职QQ群 +## QQ群 237669375 -## 【友情推荐】九章算法 +## 小密圈 -1. 算法辅导在线视频直播课程: +![](参考资料/silicon-job.png) ## AlgoHub diff --git "a/\345\217\202\350\200\203\350\265\204\346\226\231/silicon-job.png" "b/\345\217\202\350\200\203\350\265\204\346\226\231/silicon-job.png" new file mode 100644 index 0000000000000000000000000000000000000000..4c0778d5d3b322d2ba78ba14cb6a8f55843e5165 GIT binary patch literal 83370 zcmeFZ2UJt*x+pr4rbv-4HA;~tB27U`K&4A>3IZx31O!BS4T^wt0Rg22=`A3=6QzoX z^ddd<4xt7J$(y>?K6|fq&Kq~1GuFNLyz_P#Ge4R0AAg%)Z-f!TG;mH`Sxp%rA_4#+ z@DCu20k;4$5>hf!5;8JUGIDaV(-h|@D9)UrV4$X3FNBqio1Ka2 z!sQFxm-qw(1y~@$SB3en^70Gt{~UyfoSdBEGzC2c1wB726D$9J`a}2x(4Hn$B~B+M z;sQ?55)so95n2EUxK2`{UmxK2578-NaJ}TG&rqBNJ5-zlP7x6kpCTb9B_$yNd;5aV z0TNnLx{IQUWc0cZ$+?^u#9l;yIL&>tzRaDi~^$iS-jPKqvv3zXx#M%aC>+Is{=I-I?74RxBDEM_qXiV(excG#3 z?-SEAGPAOCa`W;_%gQS%tEy{io0?l%+uFZ$eC_KW7#tcN`7w%~nVp+oSX^3O!EEpB 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Date: Thu, 20 Apr 2017 19:10:39 -0700 Subject: [PATCH 12/19] Added docker image --- C++/README.md | 6 ++++-- Java/README.md | 6 +++++- 2 files changed, 9 insertions(+), 3 deletions(-) diff --git a/C++/README.md b/C++/README.md index 3e67d41b..78934f1f 100644 --- a/C++/README.md +++ b/C++/README.md @@ -1,5 +1,7 @@ #C++版 ----------------- -**下载**:LeetCode题解(C++版).pdf -书的内容与Java版一摸一样,不过代码是用C++写的。本书的代码使用 C++ 11 标准。 +## 编译 + + docker pull soulmachine/texlive + docker run -it --rm -v $(pwd):/data -w /data soulmachine/texlive xelatex -interaction=nonstopmode leetcode-cpp.tex diff --git a/Java/README.md b/Java/README.md index 8886a0b4..73032b56 100644 --- a/Java/README.md +++ b/Java/README.md @@ -1,3 +1,7 @@ #Java版 ----------------- -书的内容与C++版一摸一样,不过代码是用Java写的。本书的代码要求 Java 6 以上。 + +## 编译 + + docker pull soulmachine/texlive + docker run -it --rm -v $(pwd):/data -w /data soulmachine/texlive-full xelatex -synctex=1 -interaction=nonstopmode leetcode-java.tex From 719ef7f644e522b4d4900ce6a5776d552a33abb6 Mon Sep 17 00:00:00 2001 From: soulmachine Date: Thu, 20 Apr 2017 19:11:39 -0700 Subject: [PATCH 13/19] Image resize --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index f40ec8d0..17d5f4bf 100644 --- a/README.md +++ b/README.md @@ -80,7 +80,7 @@ Java 文件夹下是Java版,目前正在编写中,由于拖延症,不知 ## 小密圈 -![](参考资料/silicon-job.png) +![](参考资料/silicon-job.png | width=100) ## AlgoHub From 9ce370b515b89b3e7304cd1c979bbe3a6e6faf26 Mon Sep 17 00:00:00 2001 From: soulmachine Date: Thu, 20 Apr 2017 19:14:42 -0700 Subject: [PATCH 14/19] Resized image --- README.md | 2 +- .../silicon-job.jpeg" | Bin 0 -> 39529 bytes .../silicon-job.png" | Bin 83370 -> 0 bytes 3 files changed, 1 insertion(+), 1 deletion(-) create mode 100644 "\345\217\202\350\200\203\350\265\204\346\226\231/silicon-job.jpeg" delete mode 100644 "\345\217\202\350\200\203\350\265\204\346\226\231/silicon-job.png" diff --git a/README.md b/README.md index 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Date: Thu, 6 Jul 2017 07:36:20 -0700 Subject: [PATCH 15/19] Fixed download url --- README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index 2e509ce4..68f3d338 100644 --- a/README.md +++ b/README.md @@ -15,7 +15,7 @@ Java 文件夹下是Java版,目前正在编写中,由于拖延症,不知 ##在Windows下编译 1. 安装Tex Live 2015 。把bin目录例如`D:\texlive\2015\bin\win32`加入PATH环境变量。 -1. 安装字体。这个LaTex模板总共使用了10个字体,下载地址 ,有的字体Windows自带了,有的字体Ubuntu自带了,但都不全,还是一次性安装完所有字体比较方便。 +1. 安装字体。这个LaTex模板总共使用了10个字体,下载地址 ,有的字体Windows自带了,有的字体Ubuntu自带了,但都不全,还是一次性安装完所有字体比较方便。 1. 安装TeXstudio 1. (可选)启动Tex Live Manager,更新所有已安装的软件包。 1. 配置TeXstudio。 @@ -48,7 +48,7 @@ Java 文件夹下是Java版,目前正在编写中,由于拖延症,不知 export MANPATH=$MANPATH:/usr/local/texlive/2015/texmf-dist/doc/man export INFPATH=$INFPATH:/usr/local/texlive/2015/texmf-dist/doc/info -1. 安装字体。这个LaTex模板总共使用了10个字体,下载地址 ,有的字体Windows自带了,有的字体Ubuntu自带了,但都不全,还是一次性安装完所有字体比较方便。 +1. 安装字体。这个LaTex模板总共使用了10个字体,下载地址 ,有的字体Windows自带了,有的字体Ubuntu自带了,但都不全,还是一次性安装完所有字体比较方便。 1. 安装TeXstudio 1. 配置TeXstudio。 From 18a5cbdc643544547f72b594b4bf70e2bbd0f058 Mon Sep 17 00:00:00 2001 From: soulmachine Date: Tue, 9 Aug 2022 20:24:14 -0700 Subject: [PATCH 16/19] Added jiuzhang ads --- README.md | 18 ++++++------------ 1 file changed, 6 insertions(+), 12 deletions(-) diff --git a/README.md b/README.md index 68f3d338..27c8a595 100644 --- a/README.md +++ b/README.md @@ -74,19 +74,13 @@ Java 文件夹下是Java版,目前正在编写中,由于拖延症,不知 欢迎给本书添加内容或纠正错误,在自己本地编译成PDF,预览没问题后,就可以发pull request过来了。 -## QQ群 +## 广告 -237669375 + -## 小密圈 +九章算法,由北大、清华校友于美国硅谷创办,已帮助数十万IT程序员找到高薪offer! 提供1对1求职指导、算法指导、前后端项目、简历代笔等服务。 -![](参考资料/silicon-job.jpeg) - - -## AlgoHub - - 是我建立的一个刷题网站,即将上线,敬请期待 - -## 纸质书 -**本书即将由电子工业出版社出版,敬请期待** +* 推荐刷题网站:[www.lintcode.com](https://www.lintcode.com/?utm_source=soulmachine) +* 推荐北大FB双料大神的[《九章算法班》](https://www.jiuzhang.com/course/71/?utm_source=soulmachine),有人靠他连拿3个大厂offer + From f2ff6d70d18534e4d06fd45bcf7c6227684d2661 Mon Sep 17 00:00:00 2001 From: soulmachine Date: Wed, 24 Aug 2022 22:42:20 -0700 Subject: [PATCH 17/19] Added vscode devcontainer --- .devcontainer/devcontainer.json | 7 ++++ .vscode/tasks.json | 31 +++++++++++++++ README.md | 70 +++++++++------------------------ 3 files changed, 56 insertions(+), 52 deletions(-) create mode 100644 .devcontainer/devcontainer.json create mode 100644 .vscode/tasks.json diff --git a/.devcontainer/devcontainer.json b/.devcontainer/devcontainer.json new file mode 100644 index 00000000..ccd81dff --- /dev/null +++ b/.devcontainer/devcontainer.json @@ -0,0 +1,7 @@ +{ + "name": "TeX Live", + "image": "soulmachine/texlive:latest", + "extensions": [ + "James-Yu.latex-workshop" + ] +} \ No newline at end of file diff --git a/.vscode/tasks.json b/.vscode/tasks.json new file mode 100644 index 00000000..72ac5ac3 --- /dev/null +++ b/.vscode/tasks.json @@ -0,0 +1,31 @@ +{ + "version": "2.0.0", + "tasks": [ + { + "label": "lettcode-C++", + "type": "shell", + "command": "xelatex", + "args": [ + "-synctex=1", + "-interaction=nonstopmode", + "leetcode-cpp.tex" + ], + "options": { + "cwd": "${workspaceFolder}/C++/" + } + }, + { + "label": "lettcode-Java", + "type": "shell", + "command": "xelatex", + "args": [ + "-synctex=1", + "-interaction=nonstopmode", + "leetcode-java.tex" + ], + "options": { + "cwd": "${workspaceFolder}/Java/" + } + } + ] +} \ No newline at end of file diff --git a/README.md b/README.md index 27c8a595..79a0f9ff 100644 --- a/README.md +++ b/README.md @@ -1,73 +1,39 @@ -#LeetCode题解 ------------------ +# LeetCode题解 + ## 在线阅读 - -##PDF下载 + + +## PDF下载 + LeetCode题解(C++版).pdf C++ 文件夹下是C++版,内容一模一样,代码是用C++写的。 Java 文件夹下是Java版,目前正在编写中,由于拖延症,不知道猴年马月能完成。 -##LaTeX模板 -本书使用的是陈硕开源的[模板](https://github.com/chenshuo/typeset)。这个模板制作精良,很有taste,感谢陈硕 :) - -##在Windows下编译 -1. 安装Tex Live 2015 。把bin目录例如`D:\texlive\2015\bin\win32`加入PATH环境变量。 -1. 安装字体。这个LaTex模板总共使用了10个字体,下载地址 ,有的字体Windows自带了,有的字体Ubuntu自带了,但都不全,还是一次性安装完所有字体比较方便。 -1. 安装TeXstudio -1. (可选)启动Tex Live Manager,更新所有已安装的软件包。 -1. 配置TeXstudio。 - - 启动Texstudio,选择 `Options-->Configure Texstudio-->Commands`,XeLaTex 设置为 `xelatex -synctex=1 -interaction=nonstopmode %.tex`; - - 选择 `Options-->Configure Texstudio-->Build` - - Build & View 由默认的 PDF Chain 改为 Compile & View; - - Default Compiler 由默认的PdfLaTex 修改为 XeLaTex ; - - PDF Viewer 改为 “Internal PDF Viewer(windowed)”,这样预览时会弹出一个独立的窗口,这样比较方便。 - -1. 编译。用TeXstudio打开`typeset.tex`,点击界面上的绿色箭头就可以开始编译了。 - - 在下方的窗口可以看到TeXstudio正在使用的编译命令是`xelatex -synctex=1 -interaction=nonstopmode "typeset".tex` - -##在Ubuntu下编译 -1. 安装Tex Live 2015 - - 1.1. 下载TexLive 2015 的ISO 光盘,地址 - - 1.2 mount 光盘,`sudo ./install-tl` 开始安装 - - 1.3 加入环境变量 +## 如何编译 - sudo vi /etc/profile - export PATH=$PATH:/usr/local/texlive/2015/bin/x86_64-linux - export MANPATH=$MANPATH:/usr/local/texlive/2015/texmf-dist/doc/man - export INFPATH=$INFPATH:/usr/local/texlive/2015/texmf-dist/doc/info +本项目已经配置好了devcontainer, 用 vscode 打开项目根目录,选择 `"Reopen in devcontainer"`,就会在容器中打开本项目,该容器安装了 Tex Live 2022 以及所需要的10个字体。 -1. 安装字体。这个LaTex模板总共使用了10个字体,下载地址 ,有的字体Windows自带了,有的字体Ubuntu自带了,但都不全,还是一次性安装完所有字体比较方便。 -1. 安装TeXstudio -1. 配置TeXstudio。 +点击vscode左下角的齿轮图标,选择 `Command Palette`,输入`tasks`, 选择 `Run Task`, 选择 `leetcode-C++`,即可启动编译。 - 启动Texstudio,选择 `Options-->Configure Texstudio-->Commands`,XeLaTex 设置为 `xelatex -synctex=1 -interaction=nonstopmode %.tex`; +你也可以直接使用命令行编译: - 选择 `Options-->Configure Texstudio-->Build` +```bash +xelatex -synctex=1 -interaction=nonstopmode leetcode-cpp.tex +``` - Build & View 由默认的 PDF Chain 改为 Compile & View; +## LaTeX模板 - Default Compiler 由默认的PdfLaTex 修改为 XeLaTex ; +本书使用的是陈硕开源的[模板](https://github.com/chenshuo/typeset)。这个模板制作精良,感谢陈硕 :) - PDF Viewer 改为 “Internal PDF Viewer(windowed)”,这样预览时会弹出一个独立的窗口,这样比较方便。 +这个LaTex模板总共使用了10个字体,下载地址 。有的字体Windows自带了,有的字体Ubuntu自带了,但都不全,还是一次性安装完所有字体比较方便。 -1. 编译。用TeXstudio打开`typeset.tex`,点击界面上的绿色箭头就可以开始编译了。 +也可以参考 [Dockerfile](https://github.com/soulmachine/docker-images/blob/master/texlive/Dockerfile) 去学习如何安装所有字体。 - 在下方的窗口可以看到TeXstudio正在使用的编译命令是`xelatex -synctex=1 -interaction=nonstopmode "typeset".tex` -1. 懒人版镜像。如果不想进行上面繁琐的安装过程,我做好了一个Ubuntu VMware虚拟机镜像,已经装好了 TexLive 2015, TexStudio和字体(详细的安装日志见压缩包注释),开箱即用,下载地址 。 +## 如何贡献代码 -##如何贡献代码 编译通过后,就具备了完整的LaTeX编译环境了。 本书模板已经写好了,基本上不需要很多LaTeX知识就可以动手了。 From cede46bac5a74ac5d97dadc90f4dcffc9d5d4cdf Mon Sep 17 00:00:00 2001 From: soulmachine Date: Thu, 25 Aug 2022 01:28:52 -0700 Subject: [PATCH 18/19] Polished doc --- C++/README.md | 8 ++++---- README.md | 24 ++++++++++++------------ 2 files changed, 16 insertions(+), 16 deletions(-) diff --git a/C++/README.md b/C++/README.md index 78934f1f..a856af82 100644 --- a/C++/README.md +++ b/C++/README.md @@ -1,7 +1,7 @@ -#C++版 ------------------ +# C++版 ## 编译 - docker pull soulmachine/texlive - docker run -it --rm -v $(pwd):/data -w /data soulmachine/texlive xelatex -interaction=nonstopmode leetcode-cpp.tex +```bash +docker run -it --rm -v $(pwd):/project -w /project soulmachine/texlive xelatex -interaction=nonstopmode leetcode-cpp.tex +```` diff --git a/README.md b/README.md index 79a0f9ff..30d1bcaf 100644 --- a/README.md +++ b/README.md @@ -12,18 +12,22 @@ C++ 文件夹下是C++版,内容一模一样,代码是用C++写的。 Java 文件夹下是Java版,目前正在编写中,由于拖延症,不知道猴年马月能完成。 -## 如何编译 +## 如何编译PDF -本项目已经配置好了devcontainer, 用 vscode 打开项目根目录,选择 `"Reopen in devcontainer"`,就会在容器中打开本项目,该容器安装了 Tex Live 2022 以及所需要的10个字体。 - -点击vscode左下角的齿轮图标,选择 `Command Palette`,输入`tasks`, 选择 `Run Task`, 选择 `leetcode-C++`,即可启动编译。 - -你也可以直接使用命令行编译: +### 命令行编译 ```bash -xelatex -synctex=1 -interaction=nonstopmode leetcode-cpp.tex +docker run -it --rm -v $(pwd)/C++:/project -w /project soulmachine/texlive xelatex -interaction=nonstopmode leetcode-cpp.tex ``` +### vscode下编译 + +本项目已经配置好了vscode devcontainer, 可以在 Windows, Linux 和 macOS 三大平台上编译。 + +用 vscode 打开本项目,选择右下角弹出的 `"Reopen in Container"`,就会在容器中打开本项目,该容器安装了 Tex Live 2022 以及所需要的10个字体。 + +点击vscode左下角的齿轮图标,选择 `Command Palette`,输入`tasks`, 选择 `Run Task`, 选择 `leetcode-C++`,即可启动编译。 + ## LaTeX模板 本书使用的是陈硕开源的[模板](https://github.com/chenshuo/typeset)。这个模板制作精良,感谢陈硕 :) @@ -32,11 +36,7 @@ xelatex -synctex=1 -interaction=nonstopmode leetcode-cpp.tex 也可以参考 [Dockerfile](https://github.com/soulmachine/docker-images/blob/master/texlive/Dockerfile) 去学习如何安装所有字体。 -## 如何贡献代码 - -编译通过后,就具备了完整的LaTeX编译环境了。 - -本书模板已经写好了,基本上不需要很多LaTeX知识就可以动手了。 +## 贡献代码 欢迎给本书添加内容或纠正错误,在自己本地编译成PDF,预览没问题后,就可以发pull request过来了。 From a12593e0d6da5bce3ca69d6ad1bf71acb95650d5 Mon Sep 17 00:00:00 2001 From: soulmachine Date: Wed, 10 Jul 2024 15:02:06 -0700 Subject: [PATCH 19/19] cleanup --- README.md | 11 ----------- 1 file changed, 11 deletions(-) diff --git a/README.md b/README.md index 30d1bcaf..9af9ce21 100644 --- a/README.md +++ b/README.md @@ -39,14 +39,3 @@ docker run -it --rm -v $(pwd)/C++:/project -w /project soulmachine/texlive xelat ## 贡献代码 欢迎给本书添加内容或纠正错误,在自己本地编译成PDF,预览没问题后,就可以发pull request过来了。 - -## 广告 - - - -九章算法,由北大、清华校友于美国硅谷创办,已帮助数十万IT程序员找到高薪offer! 提供1对1求职指导、算法指导、前后端项目、简历代笔等服务。 - -* 推荐刷题网站:[www.lintcode.com](https://www.lintcode.com/?utm_source=soulmachine) - -* 推荐北大FB双料大神的[《九章算法班》](https://www.jiuzhang.com/course/71/?utm_source=soulmachine),有人靠他连拿3个大厂offer -

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z7Fnls$@6R;nwzTLpyxLTPuO(>sq|fMInp|-mLKY63aac+);mT|Fw|s4y;8VY?#8Rt z=m0f>O2$p%g6de_M(K&9=sI!c*Iz?@g%DwzD;(5$|HZ@h^|a(jQR!4qj;W^L^_b|*Yta|(4TcB*SYT=0Yv gY!H+^@(wFYl}V9I@{UA|_)+EJLZGA+SCl~bKRk} Date: Thu, 28 Jan 2016 06:44:03 -0500 Subject: [PATCH 02/19] Refactored chapter BFS, added another solution for Word Ladder II --- C++/chapBFS.tex | 366 ++++++++++++++++++++++++++++++++++--------- C++/leetcode-cpp.pdf | Bin 851784 -> 856465 bytes 2 files changed, 293 insertions(+), 73 deletions(-) diff --git a/C++/chapBFS.tex b/C++/chapBFS.tex index af7ff06c..07b28da9 100644 --- a/C++/chapBFS.tex +++ b/C++/chapBFS.tex @@ -45,12 +45,12 @@ \subsubsection{单队列} // 时间复杂度O(n),空间复杂度O(n) struct state_t { string word; - int step; + int level; - state_t() { word = ""; step = 0; } - state_t(const string& word, int step) { + state_t() { word = ""; level = 0; } + state_t(const string& word, int level) { this->word = word; - this->step = step; + this->level = level; } bool operator==(const state_t &other) const { @@ -85,7 +85,7 @@ \subsubsection{单队列} unordered_set result; for (size_t i = 0; i < s.word.size(); ++i) { - state_t new_state(s.word, s.step + 1); + state_t new_state(s.word, s.level + 1); for (char c = 'a'; c <= 'z'; c++) { // 防止同字母替换 if (c == new_state.word[i]) continue; @@ -113,7 +113,7 @@ \subsubsection{单队列} q.pop(); if (state_is_target(state)) { - return state.step + 1; + return state.level + 1; } const auto& new_states = state_extend(state); @@ -139,7 +139,7 @@ \subsubsection{双队列} queue current, next; // 当前层,下一层 unordered_set visited; // 判重 - int level = 0; // 层次 + int level = -1; // 层次 auto state_is_valid = [&](const string& s) { return dict.find(s) != dict.end() || s == end; @@ -177,7 +177,7 @@ \subsubsection{双队列} const auto state = current.front(); current.pop(); - if (state_is_target(new_state)) { + if (state_is_target(state)) { return level + 1; } @@ -241,7 +241,148 @@ \subsubsection{分析} 如果当前路径长度已经超过当前最短路径长度,可以中止对该路径的处理,因为我们要找的是最短路径。 -单队列无法求解所有路径。因为 需要一个 \fn{queue} 和 \fn{unordered_set} 的综合体,这是不可能的。本题可以用双队列来求解。 + +\subsubsection{单队列} + +\begin{Code} +//LeetCode, Word Ladder II +// 时间复杂度O(n),空间复杂度O(n) +struct state_t { + string word; + int level; + + state_t() { word = ""; level = 0; } + state_t(const string& word, int level) { + this->word = word; + this->level = level; + } + + bool operator==(const state_t &other) const { + return this->word == other.word; + } +}; + +namespace std { + template<> struct hash { + public: + size_t operator()(const state_t& s) const { + return str_hash(s.word); + } + private: + std::hash str_hash; + }; +} + + +class Solution { +public: + vector > findLadders(const string& start, + const string& end, const unordered_set &dict) { + queue q; + unordered_set visited; // 判重 + unordered_map > father; // DAG + + auto state_is_valid = [&](const state_t& s) { + return dict.find(s.word) != dict.end() || s.word == end; + }; + auto state_is_target = [&](const state_t &s) {return s.word == end; }; + auto state_extend = [&](const state_t &s) { + unordered_set result; + + for (size_t i = 0; i < s.word.size(); ++i) { + state_t new_state(s.word, s.level + 1); + for (char c = 'a'; c <= 'z'; c++) { + // 防止同字母替换 + if (c == new_state.word[i]) continue; + + swap(c, new_state.word[i]); + + if (state_is_valid(new_state)) { + auto visited_iter = visited.find(new_state); + + if (visited_iter != visited.end()) { + if (visited_iter->level < new_state.level) { + // do nothing + } else if (visited_iter->level == new_state.level) { + result.insert(new_state); + } else { // not possible + throw std::logic_error("not possible to get here"); + } + } else { + result.insert(new_state); + } + } + swap(c, new_state.word[i]); // 恢复该单词 + } + } + + return result; + }; + + vector> result; + state_t start_state(start, 0); + q.push(start_state); + visited.insert(start_state); + while (!q.empty()) { + // 千万不能用 const auto&,pop() 会删除元素, + // 引用就变成了悬空引用 + const auto state = q.front(); + q.pop(); + + // 如果当前路径长度已经超过当前最短路径长度, + // 可以中止对该路径的处理,因为我们要找的是最短路径 + if (!result.empty() && state.level + 1 > result[0].size()) break; + + if (state_is_target(state)) { + vector path; + gen_path(father, start_state, state, path, result); + continue; + } + + // 扩展节点 + const auto& new_states = state_extend(state); + for (const auto& new_state : new_states) { + if (visited.find(new_state) == visited.end()) { + q.push(new_state); + } + visited.insert(new_state); + father[new_state].push_back(state); + } + } + + return result; + } +private: + void gen_path(unordered_map > &father, + const state_t &start, const state_t &state, vector &path, + vector > &result) { + path.push_back(state.word); + if (state == start) { + if (!result.empty()) { + if (path.size() < result[0].size()) { + result.clear(); + result.push_back(path); + reverse(result.back().begin(), result.back().end()); + } else if (path.size() == result[0].size()) { + result.push_back(path); + reverse(result.back().begin(), result.back().end()); + } else { // not possible + throw std::logic_error("not possible to get here "); + } + } else { + result.push_back(path); + reverse(result.back().begin(), result.back().end()); + } + + } else { + for (const auto& f : father[state]) { + gen_path(father, start, f, path, result); + } + } + path.pop_back(); + } +}; +\end{Code} \subsubsection{双队列} @@ -260,8 +401,11 @@ \subsubsection{双队列} unordered_set visited; // 判重 unordered_map > father; // DAG - int level = 0; // 层次 + int level = -1; // 层次 + auto state_is_valid = [&](const string& s) { + return dict.find(s) != dict.end() || s == end; + }; auto state_is_target = [&](const string &s) {return s == end;}; auto state_extend = [&](const string &s) { unordered_set result; @@ -274,8 +418,8 @@ \subsubsection{双队列} swap(c, new_word[i]); - if ((dict.find(new_word) != dict.end() || new_word == end) && - visited.find(new_word) == visited.end()) { + if (state_is_valid(new_word) && + visited.find(new_word) == visited.end()) { result.insert(new_word); } swap(c, new_word[i]); // 恢复该单词 @@ -291,7 +435,7 @@ \subsubsection{双队列} ++ level; // 如果当前路径长度已经超过当前最短路径长度,可以中止对该路径的 // 处理,因为我们要找的是最短路径 - if (!result.empty() && level > result[0].size()) break; + if (!result.empty() && level+1 > result[0].size()) break; // 1. 延迟加入visited, 这样才能允许两个父节点指向同一个子节点 // 2. 一股脑current 全部加入visited, 是防止本层前一个节点扩展 @@ -302,6 +446,7 @@ \subsubsection{双队列} if (state_is_target(state)) { vector path; gen_path(father, path, start, state, result); + continue; } const auto new_states = state_extend(state); @@ -330,7 +475,8 @@ \subsubsection{双队列} } else if(path.size() == result[0].size()) { result.push_back(path); } else { - // throw exception + // not possible + throw std::logic_error("not possible to get here"); } } else { result.push_back(path); @@ -359,80 +505,83 @@ \subsubsection{图的广搜} vector > findLadders(const string& start, const string &end, const unordered_set &dict) { const auto& g = build_graph(dict); - vector pool; - queue q; // 未处理的节点 + vector pool; + queue q; // 未处理的节点 // value 是所在层次 unordered_map visited; - q.push(new_path_node(nullptr, start, 1, pool)); - visited[start] = 1; + auto state_is_target = [&](const state_t *s) {return s->word == end; }; vector> result; + q.push(create_state(nullptr, start, 0, pool)); while (!q.empty()) { - path_node_t* node = q.front(); + state_t* state = q.front(); q.pop(); // 如果当前路径长度已经超过当前最短路径长度, // 可以中止对该路径的处理,因为我们要找的是最短路径 - if (!result.empty() && node->length > result[0].size()) break; + if (!result.empty() && state->level+1 > result[0].size()) break; - if (node->word == end) { - result.push_back(gen_path(node)); + if (state_is_target(state)) { + const auto& path = gen_path(state); + if (result.empty()) { + result.push_back(path); + } else { + if (path.size() < result[0].size()) { + result.clear(); + result.push_back(path); + } else if (path.size() == result[0].size()) { + result.push_back(path); + } else { + // not possible + throw std::logic_error("not possible to get here"); + } + } continue; } - // 挪到了下面,只有尽早加入visited, 才能防止,同一层, - // 前面一个子节点扩展时,指向同层后面的节点 - // visited[node->word] = node->length; + visited[state->word] = state->level; // 扩展节点 - auto iter = g.find(node->word); + auto iter = g.find(state->word); if (iter == g.end()) continue; for (const auto& neighbor : iter->second) { auto visited_iter = visited.find(neighbor); - if (visited_iter != visited.end()) { - if (visited_iter->second < node->length + 1) { - continue; - } else if (visited_iter->second > node->length + 1) { - // not possible, throw exception - // throw std::logic_error("not possible"); - } else { - // do nothing - } - } else { - visited[neighbor] = node->length + 1; + if (visited_iter != visited.end() && + visited_iter->second < state->level + 1) { + continue; } - q.push(new_path_node(node, neighbor, node->length + 1, pool)); + q.push(create_state(state, neighbor, state->level + 1, pool)); } } - // release path nodes - for (auto node : pool) { - delete node; + // release all states + for (auto state : pool) { + delete state; } return result; } private: - struct path_node_t { - path_node_t* father; + struct state_t { + state_t* father; string word; - int length; // 路径长度 + int level; // 所在层次,从0开始编号 - path_node_t(path_node_t* father_, const string& word_, int length_) : - father(father_), word(word_), length(length_) {} + state_t(state_t* father_, const string& word_, int level_) : + father(father_), word(word_), level(level_) {} }; - path_node_t* new_path_node(path_node_t* parent, const string& value, - int length, vector& pool) { - path_node_t* node = new path_node_t(parent, value, length); + state_t* create_state(state_t* parent, const string& value, + int length, vector& pool) { + state_t* node = new state_t(parent, value, length); pool.push_back(node); return node; } - vector gen_path(const path_node_t* node) { + vector gen_path(const state_t* node) { vector path; while(node != nullptr) { @@ -461,8 +610,7 @@ \subsubsection{图的广搜} auto iter = adjacency_list.find(word); if (iter != adjacency_list.end()) { iter->second.insert(new_word); - } - else { + } else { adjacency_list.insert(pair>(word, unordered_set())); adjacency_list[word].insert(new_word); @@ -647,7 +795,7 @@ \subsection{代码模板} 对于队列,可以用\fn{queue},也可以把\fn{vector}当做队列使用。当求长度时,有两种做法: \begin{enumerate} -\item 只用一个队列,但在状态结构体\fn{state_t}里增加一个整数字段\fn{step},表示走到当前状态用了多少步,当碰到目标状态,直接输出\fn{step}即可。这个方案,可以很容易的变成A*算法,把\fn{queue}替换为\fn{priority_queue}即可。 +\item 只用一个队列,但在状态结构体\fn{state_t}里增加一个整数字段\fn{level},表示当前所在的层次,当碰到目标状态,直接输出\fn{level}即可。这个方案,可以很容易的变成A*算法,把\fn{queue}替换为\fn{priority_queue}即可。 \item 用两个队列,\fn{current, next},分别表示当前层次和下一层,另设一个全局整数\fn{level},表示层数(也即路径长度),当碰到目标状态,输出\fn{level}即可。这个方案,状态里可以不存路径长度,只需全局设置一个整数\fn{level},比较节省内存; \end{enumerate} @@ -665,7 +813,7 @@ \subsubsection{如何表示状态} int data2; /** 状态的数据,可以有多个字段. */ // dataN; /** 其他字段 */ int action; /** 由父状态移动到本状态的动作,求动作序列时需要. */ - int step; /** 所花费的步骤数(也即路径长度-1),求路径长度时需要; + int level; /** 所在的层次(从0开始),也即路径长度-1,求路径长度时需要; 不过,采用双队列时不需要本字段,只需全局设一个整数 */ bool operator==(const state_t &other) const { return true; // 根据具体问题实现 @@ -722,7 +870,7 @@ \subsubsection{如何表示状态} * @return 从起点到终点的所有路径 */ void gen_path(unordered_map > &father, - vector &path, const string &start, const state_t& state, + const string &start, const state_t& state, vector &path, vector > &result) { path.push_back(state); if (state == start) { @@ -733,7 +881,8 @@ \subsubsection{如何表示状态} } else if(path.size() == result[0].size()) { result.push_back(path); } else { - // throw exception + // not possible + throw std::logic_error("not possible to get here"); } } else { result.push_back(path); @@ -741,7 +890,7 @@ \subsubsection{如何表示状态} reverse(result.back().begin(), result.back().end()); } else { for (const auto& f : father[state]) { - gen_path(father, path, start, f, result); + gen_path(father, start, f, path, result); } } path.pop_back(); @@ -759,7 +908,7 @@ \subsubsection{求最短路径长度或一条路径} /** * @brief 广搜,只用一个队列. * @param[in] start 起点 - * @param[in] grid 输入数据 + * @param[in] data 输入数据 * @return 从起点到目标状态的一条最短路径 */ vector bfs(state_t &start, const vector> &grid) { @@ -786,7 +935,7 @@ \subsubsection{求最短路径长度或一条路径} return result; }; - assert (start.step == 0); + assert (start.level == 0); q.push(start); while (!q.empty()) { // 千万不能用 const auto&,pop() 会删除元素, @@ -798,7 +947,7 @@ \subsubsection{求最短路径长度或一条路径} // 访问节点 if (state_is_target(state)) { return return gen_path(father, target); // 求一条路径 - // return state.step + 1; // 求路径长度 + // return state.level + 1; // 求路径长度 } // 扩展节点 @@ -826,15 +975,15 @@ \subsubsection{求最短路径长度或一条路径} /** * @brief 广搜,使用两个队列. * @param[in] start 起点 - * @param[in] grid 输入数据 + * @param[in] data 输入数据 * @return 从起点到目标状态的一条最短路径 */ -vector bfs(const state_t &start, const vector> &grid) { +vector bfs(const state_t &start, const type& data) { queue next, current; // 当前层,下一层 unordered_set visited; // 判重 unordered_map father; // 树,求路径本身时才需要 - int level = 0; // 层次 + int level = -1; // 层次 // 判断状态是否合法 auto state_is_valid = [&](const state_t &s) { /*...*/ }; @@ -867,7 +1016,7 @@ \subsubsection{求最短路径长度或一条路径} if (state_is_target(state)) { return return gen_path(father, state); // 求一条路径 - // return state.step + 1; // 求路径长度 + // return state.level + 1; // 求路径长度 } const auto& new_states = state_extend(state); @@ -891,9 +1040,80 @@ \subsubsection{求最短路径长度或一条路径} \subsubsection{求所有路径} -\textbf{只用一个队列的写法} +\textbf{单队列} -单队列无法求解所有路径。因为 需要一个 \fn{queue} 和 \fn{unordered_set} 的综合体,这是不可能的。 +\begin{Codex}[label=bfs_template.cpp] +/** + * @brief 广搜,使用一个队列. + * @param[in] start 起点 + * @param[in] data 输入数据 + * @return 从起点到目标状态的所有最短路径 + */ +vector > bfs(const state_t &start, const type& data) { + queue q; + unordered_set visited; // 判重 + unordered_map > father; // DAG + + auto state_is_valid = [&](const state_t& s) { /*...*/ }; + auto state_is_target = [&](const state_t &s) { /*...*/ }; + auto state_extend = [&](const state_t &s) { + unordered_set result; + for (/*...*/) { + const state_t new_state = /*...*/; + if (state_is_valid(new_state)) { + auto visited_iter = visited.find(new_state); + + if (visited_iter != visited.end()) { + if (visited_iter->level < new_state.level) { + // do nothing + } else if (visited_iter->level == new_state.level) { + result.insert(new_state); + } else { // not possible + throw std::logic_error("not possible to get here"); + } + } else { + result.insert(new_state); + } + } + } + + return result; + }; + + vector> result; + state_t start_state(start, 0); + q.push(start_state); + visited.insert(start_state); + while (!q.empty()) { + // 千万不能用 const auto&,pop() 会删除元素, + // 引用就变成了悬空引用 + const auto state = q.front(); + q.pop(); + + // 如果当前路径长度已经超过当前最短路径长度, + // 可以中止对该路径的处理,因为我们要找的是最短路径 + if (!result.empty() && state.level + 1 > result[0].size()) break; + + if (state_is_target(state)) { + vector path; + gen_path(father, start_state, state, path, result); + continue; + } + + // 扩展节点 + const auto& new_states = state_extend(state); + for (const auto& new_state : new_states) { + if (visited.find(new_state) == visited.end()) { + q.push(new_state); + } + visited.insert(new_state); + father[new_state].push_back(state); + } + } + + return result; +} +\end{Codex} \textbf{双队列的写法} @@ -904,10 +1124,10 @@ \subsubsection{求所有路径} /** * @brief 广搜,使用两个队列. * @param[in] start 起点 - * @param[in] grid 输入数据 - * @return 从起点到目标状态的一条最短路径 + * @param[in] data 输入数据 + * @return 从起点到目标状态的所有最短路径 */ -vector bfs(const state_t &start, const vector> &grid) { +vector > bfs(const state_t &start, const type& data) { // 当前层,下一层,用unordered_set是为了去重,例如两个父节点指向 // 同一个子节点,如果用vector, 子节点就会在next里出现两次,其实此 // 时 father 已经记录了两个父节点,next里重复出现两次是没必要的 @@ -915,7 +1135,7 @@ \subsubsection{求所有路径} unordered_set visited; // 判重 unordered_map > father; // DAG - int level = 0; // 层次 + int level = -1; // 层次 // 判断状态是否合法 auto state_is_valid = [&](const state_t &s) { /*...*/ }; @@ -936,13 +1156,13 @@ \subsubsection{求所有路径} return result; }; - vector > result; + vector > result; current.insert(start); while (!current.empty()) { ++ level; // 如果当前路径长度已经超过当前最短路径长度,可以中止对该路径的 // 处理,因为我们要找的是最短路径 - if (!result.empty() && level > result[0].size()) break; + if (!result.empty() && level+1 > result[0].size()) break; // 1. 延迟加入visited, 这样才能允许两个父节点指向同一个子节点 // 2. 一股脑current 全部加入visited, 是防止本层前一个节点扩展 @@ -953,8 +1173,8 @@ \subsubsection{求所有路径} if (state_is_target(state)) { vector path; gen_path(father, path, start, state, result); + continue; } - // visited.insert(state); // 优化,将此行移动到for循环前面 const auto new_states = state_extend(state); for (const auto& new_state : new_states) { diff --git a/C++/leetcode-cpp.pdf b/C++/leetcode-cpp.pdf index f1fa53e91226dedb49168547960bed7caaab0e4c..931f1a749472531fac57b6f65d7cbffc4addcc0f 100644 GIT binary patch delta 297720 zcmY&(CcWm3%j%}Mew!X1#+qP}nw(TAMd+z-o&V8tdj_8Pr=#I>+s*D=@ zW{EFktxE(3-fT<)u7LoAei@*-eijB!Kdc)JUotJ-jtS_+vb7R?FMq9kbs!^YNQl66 zo{L=AmWgSjbP;zI{eaY+pg1wIUr~JDzM*IASl|EZ%5wv4WjIg@DVd)Tn9pIDwuM&2 z#%<3(%co;-;0IS-6GK%XJeDpL0Oe=pxp-W-%9IO3h%Pv*^XURa`2D%^&f`&QC%5A1 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