This commit is contained in:
programmercarl
2024-07-15 16:49:16 +08:00
parent 918590614e
commit 2c32229383
24 changed files with 1996 additions and 122 deletions

View File

@@ -404,8 +404,145 @@ Kruskal算法 时间复杂度 为 nlogn其中n 为边的数量,适用稀疏
### Java
```Java
import java.util.*;
class Edge {
int l, r, val;
Edge(int l, int r, int val) {
this.l = l;
this.r = r;
this.val = val;
}
}
public class Main {
private static int n = 10001;
private static int[] father = new int[n];
// 并查集初始化
public static void init() {
for (int i = 0; i < n; i++) {
father[i] = i;
}
}
// 并查集的查找操作
public static int find(int u) {
if (u == father[u]) return u;
return father[u] = find(father[u]);
}
// 并查集的加入集合
public static void join(int u, int v) {
u = find(u);
v = find(v);
if (u == v) return;
father[v] = u;
}
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
int v = scanner.nextInt();
int e = scanner.nextInt();
List<Edge> edges = new ArrayList<>();
int result_val = 0;
for (int i = 0; i < e; i++) {
int v1 = scanner.nextInt();
int v2 = scanner.nextInt();
int val = scanner.nextInt();
edges.add(new Edge(v1, v2, val));
}
// 执行Kruskal算法
edges.sort(Comparator.comparingInt(edge -> edge.val));
// 并查集初始化
init();
// 从头开始遍历边
for (Edge edge : edges) {
int x = find(edge.l);
int y = find(edge.r);
if (x != y) {
result_val += edge.val;
join(x, y);
}
}
System.out.println(result_val);
scanner.close();
}
}
```
### Python
```python
class Edge:
def __init__(self, l, r, val):
self.l = l
self.r = r
self.val = val
n = 10001
father = list(range(n))
def init():
global father
father = list(range(n))
def find(u):
if u != father[u]:
father[u] = find(father[u])
return father[u]
def join(u, v):
u = find(u)
v = find(v)
if u != v:
father[v] = u
def kruskal(v, edges):
edges.sort(key=lambda edge: edge.val)
init()
result_val = 0
for edge in edges:
x = find(edge.l)
y = find(edge.r)
if x != y:
result_val += edge.val
join(x, y)
return result_val
if __name__ == "__main__":
import sys
input = sys.stdin.read
data = input().split()
v = int(data[0])
e = int(data[1])
edges = []
index = 2
for _ in range(e):
v1 = int(data[index])
v2 = int(data[index + 1])
val = int(data[index + 2])
edges.append(Edge(v1, v2, val))
index += 3
result_val = kruskal(v, edges)
print(result_val)
```
### Go
### Rust