网络流:宇宙旅行C语言代码
时间: 2023-08-18 10:19:32 浏览: 213
以下是一个基于C语言的网络流代码,用于解决宇宙旅行问题:
```c
#include <stdio.h>
#include <string.h>
#include <limits.h>
#define MAX_N 1000
#define INF INT_MAX
int capacity[MAX_N][MAX_N]; // 容量矩阵
int flow[MAX_N][MAX_N]; // 流量矩阵
int parent[MAX_N]; // 父节点数组
int bfs(int source, int sink, int n) {
int visited[MAX_N] = {0}; // 是否被访问过
int queue[MAX_N]; // 广度优先搜索队列
int front = 0, rear = 0; // 队列头尾指针
queue[rear++] = source;
visited[source] = 1;
while (front < rear) {
int u = queue[front++];
for (int v = 0; v < n; v++) {
if (!visited[v] && capacity[u][v] > flow[u][v]) {
visited[v] = 1;
parent[v] = u;
if (v == sink) {
return 1;
}
queue[rear++] = v;
}
}
}
return 0;
}
int max_flow(int source, int sink, int n) {
int total_flow = 0;
memset(flow, 0, sizeof(flow));
while (bfs(source, sink, n)) {
int path_flow = INF;
for (int v = sink; v != source; v = parent[v]) {
int u = parent[v];
path_flow = path_flow < capacity[u][v] - flow[u][v] ? path_flow : capacity[u][v] - flow[u][v];
}
for (int v = sink; v != source; v = parent[v]) {
int u = parent[v];
flow[u][v] += path_flow;
flow[v][u] -= path_flow;
}
total_flow += path_flow;
}
return total_flow;
}
int main() {
int n, m, s, t;
scanf("%d%d%d%d", &n, &m, &s, &t);
memset(capacity, 0, sizeof(capacity));
for (int i = 0; i < m; i++) {
int u, v, w;
scanf("%d%d%d", &u, &v, &w);
capacity[u][v] += w;
}
printf("%d\n", max_flow(s, t, n));
return 0;
}
```
其中,`capacity`表示容量矩阵,`flow`表示流量矩阵,`parent`表示父节点数组。`bfs`函数用于实现广度优先搜索,返回是否能从源点到汇点,`max_flow`函数用于实现最大流算法,返回最大流量。在主函数中,依次输入节点数`n`、边数`m`、源点`s`、汇点`t`和每条边的起始节点、结束节点和容量,最终输出最大流量。
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