From 45bb0c681dee3ac8b05675fd123e58037974d02a Mon Sep 17 00:00:00 2001 From: InkSoul Date: Sun, 30 Jul 2023 20:16:17 +0800 Subject: [PATCH] =?UTF-8?q?=E5=AE=8C=E6=88=90=E3=80=8A=E6=95=B0=E6=8D=AE?= =?UTF-8?q?=E7=BB=93=E6=9E=84=E3=80=8B=E4=B8=B2?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- content/408/《数据结构》串.md | 144 ++++++++++++++++++ .../暴力匹配算法.jpg | Bin 0 -> 232403 bytes .../模式匹配算法.jpg | Bin 0 -> 407367 bytes 3 files changed, 144 insertions(+) create mode 100644 content/408/《数据结构》串.md create mode 100644 static/images/《数据结构》栈、队列和数组/暴力匹配算法.jpg create mode 100644 static/images/《数据结构》栈、队列和数组/模式匹配算法.jpg diff --git a/content/408/《数据结构》串.md b/content/408/《数据结构》串.md new file mode 100644 index 0000000..5d7636d --- /dev/null +++ b/content/408/《数据结构》串.md @@ -0,0 +1,144 @@ +--- +title: "《数据结构》串" +date: 2023-07-30T19:34:35+08:00 + +--- + +## 串的定义和实现 + +### 定义 + * 串:字符串简称串,是由零个或多个字符组成的有限序列 + * 子串:串中任意多个连续的字符组成的子序列 + * 主串:包含子串的串 + * 某个字符在串中的序号称为该字符在串中的位置 + * 空格串:由一个或多个空格组成的串 + +### 定长顺序存储表示 + +```c + +#define MAXLEN 255 +typedef struct +{ + char ch[MAXLEN]; + int length; +}SString; + +``` + +### 堆分配存储表示 + +```c + +typedef struct +{ + char *ch; + int length; +}SString; + +``` + +### 块链存储表示 + +* 类似于线性表的链式存储结构 +* 也可采用链表方式存储串值其中的节点称为块 +* 最后一个节点占不满时,用#号填充 + +### 基本操作 + +|StrAssign(&T,chars)|赋值操作| +|---|---| +|StrCopy(&T,S)|赋值操作 +|StrEmpty(S)|判空操作 +|StrCompare(S,T)|比较操作 +|StrLength(S)|求串长 +|StrString(&Sub,S,pos,len)|求子串 +|Concat(&T,S1,S2)|串联接 +|Index(S,T)|定位操作 +|ClearString(&S)|清空操作 +|DestroyString(&S)|销毁串 + +## 串的模式匹配 + +* 模式匹配:子串的定位操作,求子串在主串中的位置 + +### 暴力匹配算法-BF算法 + +时间复杂度为O(mn) + +![](../../images/《数据结构》栈、队列和数组/暴力匹配算法.jpg) + +```c + +int Index_BF(string s, string t) +{ + int i = 1, j = 1; + int lens = s.length(); + int lent = t.length(); + while(i < lens && j < lent) + { + if(s[i] == t[j]) + { + i++,j++; + continue; + } + else + { + i = i - j + 2;//i指示主串S正在比较的字符位置 + j = 1;//j指示子串t正在比较的字符位置 + } + } + if (j == lent) + { + return i - j; + } + return -1; +} + +``` + +### 模式匹配算法 - KMP算法 + +时间复杂度为O(m + n) + +![](../../images/《数据结构》栈、队列和数组/模式匹配算法.jpg) + +```c + +void get_next(String T , int next[])//计算next数组 +{ + int i =1,j = 0; + next[1] = 0; + while( i < T.length) + { + if( j ==0 || T.ch[i] == T.ch[j]) + { + ++i; + ++j; + next[i] = j; + } + else + j = next[j]; + } +} + +int Index_KMP(String S,String T,int next[]) +{ + int i = 1, j = 1; + while(i <= S.length && j <= T.length)//i永远不递减 + if ( j==0 || S.ch[i] == T.ch[j])//字符匹配成功,指针后移 + { + ++i; + ++j; + } + else //字符匹配失败,根据next跳过前面的一些字符 + { + j = next[j]; + } + if(j > T.length)//匹配 + return i - T.length; + else + return 0; +} + +``` \ No newline at end of file diff --git a/static/images/《数据结构》栈、队列和数组/暴力匹配算法.jpg b/static/images/《数据结构》栈、队列和数组/暴力匹配算法.jpg new file mode 100644 index 0000000000000000000000000000000000000000..f713e43fbec760e3da8cf2402f61c7f31d4e8f9c GIT binary patch literal 232403 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