From 03eec49ec2883b2c08cd0e78ae194723242cb379 Mon Sep 17 00:00:00 2001 From: Didnelpsun <2675350965@qq.com> Date: Tue, 28 Sep 2021 23:19:15 +0800 Subject: [PATCH] =?UTF-8?q?=E6=9B=B4=E6=96=B0=E6=9F=A5=E6=89=BE?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Code/Code/head/search.h | 34 +++++++++ Code/Code/source/test.cpp | 1 + Data-Structrue/8-graph-ex.md | 83 +++++++++++++++++++++- Data-Structrue/8-graph.md | 6 +- Data-Structrue/9-search-ex.md | 49 +++++++++++++ Data-Structrue/9-search.md | 130 ++++++++++++++++++++-------------- 6 files changed, 244 insertions(+), 59 deletions(-) create mode 100644 Code/Code/head/search.h create mode 100644 Data-Structrue/9-search-ex.md diff --git a/Code/Code/head/search.h b/Code/Code/head/search.h new file mode 100644 index 0000000..755ac66 --- /dev/null +++ b/Code/Code/head/search.h @@ -0,0 +1,34 @@ +#include "head.h" + +typedef int elem_type + +// 线性表 +typedef struct { + elem_type *elem; + int length; +} LinearTable; + +// 顺序查找 +int SequenceSearch(LinearTable table, elem_type key) { + for (int i = 0; i < table.length; i++) { + if (table.elem[i] == key) + return i; + } + return -1; +} + +// 折半查找 +int BinarySearch(LinearTable table, elem_type key) { + int low = 0, high = table.length - 1, mid; + while (low <= high) { + mid = (low + high) / 2; + if (table.elem[mid] == key) + return mid; + else if (table.elem[mid] > key) + high = mid - 1; + else + low = mid + 1; + } + return -1; +} + diff --git a/Code/Code/source/test.cpp b/Code/Code/source/test.cpp index 8ae7a24..fe4e54b 100644 --- a/Code/Code/source/test.cpp +++ b/Code/Code/source/test.cpp @@ -15,6 +15,7 @@ #include "../head/thread_tree.h" #include "../head/tree.h" #include "../head/graph.h" +#include "../head/search.h" using namespace std; diff --git a/Data-Structrue/8-graph-ex.md b/Data-Structrue/8-graph-ex.md index 9285ee5..0a6855e 100644 --- a/Data-Structrue/8-graph-ex.md +++ b/Data-Structrue/8-graph-ex.md @@ -58,7 +58,7 @@ $D.2n-2$ 解:$D$。在有向图中,顶点的度等于入度与出度之和。$n$个顶点的有向图中,任意一个顶点最多还可以与其他$n-1$个顶点有一对指向相反的边相连,所以一共$2(n-1)=2n-2$。 -### 树与森林 +### 生成树与森林 **例题** 若具有$n$个顶点的图是一个环,则它有()棵生成树。 @@ -96,6 +96,18 @@ $D.G'$是$G$的一个无环子图 解:$B$。连通分量是无向图的极大连通子图,其中极大的含义是将依附于连通分量中顶点的所有边都加上,所以连通分量中可能存在回路,这样就不是生成树了。 +**例题** 以下叙述中,正确的是()。 + +$A.$只要无向连通图中没有权值相同的边,则其最小生成树唯一 + +$B.$只要无向图中有权值相同的边,则其最小生成树一定不唯一 + +$C.$从$n$个顶点的连通图中选取$n-1$条权值最小的边,即可构成最小生成树 + +$D.$设连通图$G$含有$n$个顶点,则含有$n$个顶点、$n-1$条边的子图一定是$G$的生成树 + +解:$A$。选项$A$显然正确,图$G$中权值最小的边一定是最小生成树中的边。否则最小生成树加上权值最小的边后构成一个环,去掉环中任意一条非此边则形成了另一个权值更小的生成树。选项$B$,若无向图本身就是一棵树,则最小生成树就是它本身,这时就是唯一的。选项$C$,选取的$n-1$条边可能构成回路。选项$D$,含有$n$个顶点、$n-1$条边的子图可能构成回路,也可能不连通。 + ## 图的存储结构 ### 邻接表 @@ -158,4 +170,71 @@ $D.$都不是 ## 图的应用 -### 最小生成树 + + +### 最短路径 + +#### Dijkstra算法 + +**例题** 对下图所示的有向带权图,若采用$Dijkstra$算法求从源点$a$到其他各顶点的最短路径,则得到的第一条最短路径的目标顶点是$b$,第二条最短路径的目标顶点是$c$,后续得到的其余各最短路径的目标顶点依次是()。 + +![table1] + +$A.d,e,f$ + +$B.e,d,f$ + +$C.f,d,e$ + +$D.f,e,d$ + +解:$C$。 + +顶点|第1轮|第2轮|第3轮|第4轮|第5轮 +:--:|:---:|:---:|:---:|:---:|:---: +b|(a,b)2 +c|(a,c)5|(a,b,c)3 +d|∞|(a,b,d)5|(a,b,d)5|(a,b,d)5 +e|∞|∞|(a,b,c,e)7|(a,b,c,e)7|(a,b,d,e)6 +f|∞|∞|(a,b,c,f)4 +集合S|{a,b}|{a,b,c}|{a,b,c,f}|{a,b,c,f,d}|{a,b,c,f,d,e} + +### 有向无环图 + +#### 环路 + +**例题** 下面的()方法可以判断出一个有向图是否有环(回路)。 + +Ⅰ.深度优先遍历 + +Ⅱ.拓扑排序 + +Ⅲ.求最短路径 + +Ⅳ.求关键路径 + +$A.$Ⅰ、Ⅱ、Ⅳ + +$B.$Ⅰ、Ⅲ、Ⅳ + +$C.$Ⅰ、Ⅱ、Ⅲ + +$D.$全部可以 + +解:$A$。使用深度优先遍历,若从有向图上的某个顶点$u$出发,在$DFS(u)$结束之前出现一条从顶点$v$到$u$的边,由于$v$在生成树上是$u$的子孙,则图中必定存在包含$u$和$v$的环,因此深度优先遍历方法可以检测出一个有向图是否有环。拓扑排序时,当某顶点不为任何边的头时才能加入序列,存在环路时环路中的顶点一直是某条边的头,不能加入拓扑序列。也就是说,还存在无法找到下一个可以加入拓扑序列的顶点,则说明此图存在回路。最短路径是允许有环的。至于关键路径能否判断一个图有环,则存在一些争议。关键路径本身虽然不允许有环,但求关键路径的算法本身无法判断是否有环,判断是否有环是关键路径的第一步——拓扑排序。所以这个问题的答案主要取决于你从哪个角度出发看问题,考生需要理解问题本身,真正统考时是不会涉及一些模棱两可的问题的。 + +#### 拓扑序列 + +**例题** 一个有向图的顶点不能排成一个拓扑序列,则判定该有向图()。 + +$A.$含有多个出度为$0$的顶点 + +$B.$是个强连通图 + +$C.$含有多个入度为$0$的顶点 + +$D.$含有顶点数大于$1$的强连通分量 + +解:$D$。一个有向图中的顶点不能排成一个拓扑序列,表明其中存在一个顶点数目大于1的回路(环),该回路构成一个强连通分量。 + +[table1]:data:image/png;base64,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 diff --git a/Data-Structrue/8-graph.md b/Data-Structrue/8-graph.md index e41209d..e7357e4 100644 --- a/Data-Structrue/8-graph.md +++ b/Data-Structrue/8-graph.md @@ -318,7 +318,7 @@ #### Dijkstra算法 -即迪杰斯特拉算法。 +即迪杰斯特拉算法。用于计算单源最短路径(要计算从源到其他所有各顶点的最短路径长度)。 1. 从$v_0$开始,初始化三个数组:标记各顶点是否已找到最短路径$final$;最短路径长度$dist$;最短路径上的前驱$path$。从$v_0$开始,所以将$final[0]=true$,$dist[0]=0$,$path[0]=-1$,然后将$v_0$直连的点的$dist$初始化为直连路径长度,对应的$path=0$,但是不要将对应的$final=true$,因为还没有确定对应的直连路径就是最短路径。其他顶点的$dist=\infty$。 2. 遍历所有结点,找到还没确定最短路径,且最短路径长度值最小的的一个顶点,这就确定了下一个最短路径的结点,令其各顶点是否已找到最短路径的值为$true$。 @@ -403,9 +403,9 @@ $AOV$网:用$DAG$图表示一个工程,顶点表示活动,有向边$50$,所以将$low$指向$62$,$high$指向$134$,$mid$指向$90$,第二次比较找到$90$。 + +**例题** 具有$12$个关键字的有序表中,对每个关键字的查找概率相同,折半查找算法查找成功的平均查找长度为(),折半查找查找失败的平均查找长度为()。 + +$A.37/12$ + +$B.35/12$ + +$C.39/13$ + +$D.49/13$ + +解:$A,D$。假设有序表中元素为$A[0\cdots11]$,不难画出对它进行折半查找的判定树,如下图所示(向下取整),圆圈是查找成功结点,方形是虚构的查找失败结点。查找成功$ASL$=($\sum\limits_{i=1}^n$第$i$层的成功结点数$\times i$)$\div$成功结点总数,查找失败$ASL$=($\sum\limits_{i=1}^n$第$i$层的失败结点数$\times i$)$\div$失败结点总数。从而可以求出查找成功的$ASL=(1+2\times2+3\times4+4\times5)\div12=37/12$,查找失败的$ASL=(3\times3+4\times10)\div13$。 + +![tree] + 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 + +[] diff --git a/Data-Structrue/9-search.md b/Data-Structrue/9-search.md index 3fea8b9..0b7c6db 100644 --- a/Data-Structrue/9-search.md +++ b/Data-Structrue/9-search.md @@ -5,10 +5,10 @@ + 查找:在数据集合中寻找满足某种条件的数据元素的过程。 + 查找表(查找结构):用于查找的数据集合,由同一类型的数据元素或记录组成。 + 关键字:数据元素中唯一标识该元素的某个数据项的值,使用基于关键字的查找,查找结果应该唯一。 -+ 静态查找表:只查找符合条件的数据元素。 -+ 动态查找表:出来要查找,还要进行删除或插入,除了查找速度还要考虑插入删除操作是否方便。 ++ 静态查找表:只查找符合条件的数据元素。(顺序查找、折半查找、散列查找) ++ 动态查找表:出来要查找,还要进行删除或插入,除了查找速度还要考虑插入删除操作是否方便。(二叉排序树查找、散列查找) + 查找长度:查找运算中,需要对比关键字的次数。 -+ 平均查找长度ASL:所有查找过程中进行关键字比较次数的平均值。$ASL=\sum_{i=1}^nP_iC_i$。其中$P_i$表示查找第i个元素的概率,$C_i$表示查找第i个元素的查找长度。 ++ 平均查找长度$ASL$:所有查找过程中进行关键字比较次数的平均值。$ASL=\sum_{i=1}^nP_iC_i$。其中$P_i$表示查找第$i$个元素的概率,$C_i$表示查找第$i$个元素的查找长度。 ## 线性表查找 @@ -16,20 +16,26 @@ 又称为线性查找,常用于线性表,从头到尾逐个查找。 -ASL查找成功为$\dfrac{1+2+3+\cdots+n}{n}=\dfrac{n+1}{2}$,ASL查找失败为$n+1$,时间复杂度为$O(n)$。 +#### 一般查找 + +在算法实现时一般将线性表的$0$号索引的元素值设为查找的值,从表最后面开始向前查找,当没有找到时就直接从$0$返回。这个数据称为哨兵,可以避免不必要的判断线性表长是否越界语句从而提高程序效率。 + +$ASL$查找成功为$\dfrac{1+2+3+\cdots+n}{n}=\dfrac{n+1}{2}$,$ASL$查找失败为$n+1$,时间复杂度为$O(n)$。 #### 顺序表 -可以让数据集变为有序的,这样对比数据大小也可以知道是否还需要遍历从而减少查找时间。这样顺序结构从逻辑上就变成了一个二叉树结构,左子树代表小于,右子树代表大于,所有数据结点挂在右子树上。 +可以让数据集变为有序的,这样对比数据大小也可以知道是否还需要遍历从而减少查找时间。这样顺序结构从逻辑上就变成了一个二叉树结构(一般是顺序的),左子树代表小于(失败结点),右子树代表大于(需要继续向右查找),所有数据结点挂在右子树上。 查找情况还要比普通乱序查找加上一个大于最大值的情况。 -ASL查找失败为$\dfrac{1+2+3+\cdots+n+n}{n+1}=\dfrac{n}{2}+\dfrac{n}{n+1}$。成功结点的查找长度等于自身所在层数,失败结点的查找长度等于其父结点所在层数。 +$ASL$查找失败为$\dfrac{1+2+3+\cdots+n+n}{n+1}=\dfrac{n}{2}+\dfrac{n}{n+1}$。成功结点的查找长度等于自身所在层数,失败结点的查找长度等于其父结点所在层数。 #### 查找概率不等 当数据元素查找概率不等时,可以将查找概率更大的元素放在靠前的位置,以减少大概率元素被遍历的时间。 +$ASL$查找成功为$\sum\limits_{i=1}^nP_i(n-i+1)$,$P_i$为第$i$个元素出现概率。 + 但是此时数据是乱序的,所以查找失败的时间复杂度与没有优化的是一样的。 ### 折半查找 @@ -38,29 +44,30 @@ ASL查找失败为$\dfrac{1+2+3+\cdots+n+n}{n+1}=\dfrac{n}{2}+\dfrac{n}{n+1}$。 #### 折半查找的结构 -定义三个指针,low指向查找范围的最小值,high指向查找范围的最大值,mid指向查找范围的中间值,$mid=\lfloor(low+high)\div2\rfloor$。(也可以向上取整,过程会有所不同) +定义三个指针,$low$指向查找范围的最小值,$high$指向查找范围的最大值,$mid$指向查找范围的中间值,$mid=\lfloor(low+high)\div2\rfloor$。(也可以向上取整,过程会有所不同) #### 折半查找的过程 -查找时,首先计算出mid判断是否相等,若查找值小于mid的值,则将high赋值为mid的值,若查找值大于mid,则将low赋值为mid的值,重新计算mid。这样就可以不断二分区间来查找,从而加快迭代。当查找最后low>high则查找失败。 +查找时,首先计算出$mid$判断是否相等,若查找值小于$mid$的值,则将$high$赋值为$mid-1$的值,若查找值大于$mid$,则将$low$赋值为$mid+1$的值,重新计算$mid$。这样就可以不断二分区间来查找,从而加快迭代。当查找最后$low>high$则查找失败。 -ASL查找成功为$\dfrac{1+2+3+\cdots+n}{n}=\dfrac{n+1}{2}$,ASL查找失败为$n+1$,时间复杂度为$O(n)$。 +$ASL$查找成功为$\dfrac{1+2+3+\cdots+n}{n}=\dfrac{n+1}{2}$,$ASL$查找失败为$n+1$,时间复杂度为$O(n)$。 #### 折半查找判定树 -若当前low和high有奇数个元素,则mid分割后左右两部分元素个数相等。 +折半查找的过程可用二叉树来描述,称为判定树。树中每个圆形结点表示一个记录,结点中的值为该记录的关键字值;树中最下面的叶结点都是方形的,它表示查找不成功的情况。从判定树可以看出,查找成功时的查找长度为从根结点到目的结点的路径上的结点数,而查找不成功时的查找长度为从根结点到对应失败结点的父结点的路径上的结点数。 -若当前low和high有奇数个元素,则mid分割后左部分元素个数小于右部分一个。 ++ 若当前$low$和$high$有奇数个元素,则$mid$分割后左右两部分元素个数相等。 ++ 若当前$low$和$high$有奇数个元素,则$mid$分割后左部分元素个数小于右部分一个。 ++ 折半查找判定树一定是一个平衡二叉树。只有最下面一层不满,元素个数为$n$时树高与完全二叉树相等$h=\lceil\log_2(n+1)\rceil$。 ++ 根据折半查找判定树可以计算对应的$ASL$:查找成功的$ASL$=($\sum\limits_{i=1}^n$第$i$层的成功结点数$\times i$)$\div$成功结点总数,查找失败的$ASL$=($\sum\limits_{i=1}^n$第$i$层的失败结点数$\times i$)$\div$失败结点总数。 ++ 折半查找判定树也是一个二叉排序树,失败结点$=n+1$(成功结点的空链域节点数)。 ++ 折半查找判定树的中序序列应该是一个有序序列。 -折半查找判定树一定是一个平衡二叉树。只有最下面一层不满,元素个数为n时树高与完全二叉树相等$h=\lceil\log_2(n+1)\rceil$。 - -且折半查找判定树也是一个二叉排序树,失败结点=n+1(成功结点的空链域节点数)。 - -ASL查找成功查找失败都一定小于折半查找树的树高,时间复杂度为$O(\log_2n)$。 +$ASL$查找成功查找失败都一定小于折半查找树的树高,时间复杂度为$O(\log_2n)$。 ### 分块查找 -分块查找又称为索引顺序查找,需要对数据进行一定的排序,不一定全部是顺序的,但是要求在一个区间内是满足一定条件的,即块内无序,块间有序。其中分割的块数和每块里的数据个数都是不定的。 +分块查找又称为索引顺序查找,需要对数据进行一定的排序,不一定全部是顺序的,但是要求在一个区间内是满足一定条件的,即块内无序,块间有序。将查找表分割为若干子块,其中分割的块数和每块里的数据个数都是不定的。 #### 分块查找的结构 @@ -76,11 +83,11 @@ ASL查找成功查找失败都一定小于折半查找树的树高,时间复 在查找时先根据关键字遍历索引表,然后找到索引表的分块(可以顺序也可以折半),再到存储数据的顺序表的索引区间中查找。 -若适用折半查找查找索引表的分块,索引表中若不存在目标关键字,则折半查找索引表最终会停在low>high,要在low所指向分块中查找。 +若适用折半查找查找索引表的分块,索引表中若不存在目标关键字,则折半查找索引表最终会停在$low>high$,要在$low$所指向分块中查找。 #### 分块查找的效率 -ASL查找成功失败的情况都十分复杂,所以一般不会考。 +$ASL$查找成功失败的情况都十分复杂,所以一般不会考。 假设长度为$n$的查找表被均匀分为$b$块,每块$s$个元素,假设索引查找和块内查找的平均查找长度ASL分别为$L_I$和$L_S$,则分块查找的平均查找长度为$ASL=L_I+L_S$。 @@ -94,35 +101,51 @@ ASL查找成功失败的情况都十分复杂,所以一般不会考。 #### B树的定义 -为了保证m叉查找树中每个结点都能被有效利用,避免大量结点浪费导致树高过大,所以规定m叉查找树中,除了根结点以外,任何结点至少有$\lceil\dfrac{m}{2}\rceil$个分叉,即至少包含$\lceil\dfrac{m}{2}\rceil-1$个结点。 +为了保证$m$叉查找树中每个结点都能被有效利用,避免大量结点浪费导致树高过大,所以规定$m$叉查找树中,除了根结点以外,任何结点至少有$\lceil\dfrac{m}{2}\rceil$个分叉,即至少包含$\lceil\dfrac{m}{2}\rceil-1$个结点。 -为了保证m叉查找树是一棵平衡树,避免树偏重导致树高过大,所以规定m叉查找树中任何一个结点,其所有子树的高度都要相同。 +为了保证$m$叉查找树是一棵平衡树,避免树偏重导致树高过大,所以规定$m$叉查找树中任何一个结点,其所有子树的高度都要相同。 -而能保证这两点的查找树,就是一棵B树,多少叉,就是一棵多少阶的B树。 +而能保证这两点的查找树,就是一棵$B$树,即多路平衡查找树,多少叉,就是一棵多少阶的$B$树。 -B树即多路平衡查找树,所有结点的孩子个数的最大值就是B树的阶,一般用m表示。 +非叶结点定义:$\{n,P_0,K_1,P_1,\cdots,K_n,P_n\}$。其中$K_i$为结点关键字,$K_1