1.Disjoint-set data structure2024-10-25 收起 并查集优化一:优化查找(get) 查找的优化是路径压缩,大大提高了优化效率我们可以看到,我们每次get一个x,它都会遍历它的父节点,若我们重复get,则他会重复遍历,这大大降低了效率。如果我们可以在他返回的时候将他路径上的每个节点的父节点全部改为根节点,则下一次查找...
Disjoint sets can be used for a number of math problems but specifically in data structures. In set theory, disjoint sets are two sets which do not share any common observations. In other words, if we take the intersection of two sets and the resulting set is an empty set then the sets...
What is a Disjoint Set Data Structure? It is a collection of disjoint dynamic sets.D=S1,S2,S3,………,SkD=S1,S2,S3,………,Sk Each set has a Representative R and consists of some elements. Assume total elements is N:Size(S1)+Size(S2)+…+Size(Sk)=NSize(S1)+Size(S2)+…+Size(Sk...
classDisjointSet:def__init__(self,size):self.parent=[iforiinrange(size)]self.rank=[0]*sizedeffind(self,x):ifself.parent[x]!=x:self.parent[x]=self.find(self.parent[x])# 路径压缩returnself.parent[x]defunion(self,x,y):root_x=self.find(x)root_y=self.find(y)ifroot_x!=root_y...
模板- 数据结构 - 并查集 / Disjoint Set 并查集的英文名理论上是 disjoint-set data structure (also called union–find data structure or merge–find set) 。所以说“并查集”这个词的来源,是其第二个和第三个英文名。 确定两个元素属于同一个集合需要Find找出他们的集合的代表元素再比较。
Following are the time complexities of disjoint set operations: Find(x):O(log n) where n is the number of elements. Union(x, y):O(log n) where n is the number of elements. MakeSet(x):O(1) Following are the applications of disjoint set data structure: ...
可用CreateDataStructure创建新的"DisjointSet": In[1]:= Out[1]= 开始时没有元素,也没有子集: In[2]:= Out[2]= 插入两个元素;分别归入自己的子集: In[3]:= Out[3]= 统合子集: In[4]:= Out[4]= 再添加两个元素并统合;现在有两个子集: ...
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void printSets(vector<int> const &universe, DisjointSet &ds) { for (int i: universe) { cout << ds.Find(i) << " "; } cout << endl; } // Disjoint–Set data structure (Union–Find algorithm) int main() { // universe of items vector<int> universe = { 1, 2, 3, 4, 5 }...