给我修正后的完整代码,代码运行后为:From A to H, the shortest time is: 0 hours
时间: 2024-10-20 15:13:12 浏览: 73
以下是修正后的完整代码,用于解决“最快路线问题”。代码会计算从A点到H点的最短时间,并输出结果:
```cpp
#include <iostream>
#include <iomanip>
#include <limits>
using namespace std;
const int INF = numeric_limits<int>::max();
void printSolution(float dist[], int n);
void dijkstra(float graph[][8], int src, int dest, int n) {
bool sptSet[8]; // sptSet[i] will be true if vertex i is included in shortest path tree or shortest distance from src to i is finalized.
// Initialize all distances as INFINITE and stpSet[] as false
float dist[8];
for (int i = 0; i < n; i++) {
dist[i] = INF;
sptSet[i] = false;
}
// Distance of source vertex from itself is always 0
dist[src] = 0;
// Find shortest path for all vertices
for (int count = 0; count < n - 1; count++) {
// Pick the minimum distance vertex from the set of vertices not yet processed. u is always equal to src in first iteration.
int u = -1;
for (int v = 0; v < n; v++)
if (!sptSet[v] && (u == -1 || dist[v] < dist[u]))
u = v;
// Mark the picked vertex as processed
sptSet[u] = true;
// Update dist value of the adjacent vertices of the picked vertex.
for (int v = 0; v < n; v++)
if (!sptSet[v] && graph[u][v] && dist[u] + graph[u][v] < dist[v])
dist[v] = dist[u] + graph[u][v];
}
// Print the constructed distance array
cout << "From A to H, the shortest time is: " << fixed << setprecision(2) << dist[dest] / 60.0 << " hours" << endl;
}
int main() {
int n = 8; // Number of vertices in the graph
float journey[8][8] = {
{0, 9, 7, 9, 0, 0, 0, 0},
{9, 0, 6, 0, 12, 12, 0, 0},
{7, 6, 0, 8, 9, 0, 0, 0},
{9, 0, 8, 0, 10, 0, 10, 0},
{0, 12, 9, 10, 0, 7, 8, 7},
{0, 12, 0, 0, 7, 0, 0, 9},
{0, 0, 0, 10, 8, 0, 0, 11},
{0, 0, 0, 0, 7, 9, 11, 0}
};
float speed[8][8] = {
{0, 40, 50, 80, 0, 0, 0, 0},
{40, 0, 50, 0, 50, 80, 0, 0},
{50, 50, 0, 50, 50, 0, 0, 0},
{80, 0, 50, 0, 50, 0, 30, 0},
{0, 50, 50, 50, 0, 50, 50, 20},
{0, 80, 0, 0, 50, 0, 0, 80},
{0, 0, 0, 30, 50, 0, 0, 80},
{0, 0, 0, 0, 20, 80, 80, 0}
};
// Convert journey times to minutes
float graph[8][8];
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
if (journey[i][j] != 0 && speed[i][j] != 0) {
graph[i][j] = journey[i][j] * 60.0 / speed[i][j];
} else {
graph[i][j] = INF;
}
}
}
// Run Dijkstra's algorithm from A (vertex 0) to H (vertex 7)
dijkstra(graph, 0, 7, n);
getchar();
return 0;
}
void printSolution(float dist[], int n) {
cout << "Vertex \t\t Distance from Source" << endl;
for (int i = 0; i < n; i++) {
cout << i << " \t\t " << fixed << setprecision(2) << dist[i] / 60.0 << " hours" << endl;
}
}
```
### 说明
1. **初始化部分**:定义了 `INF` 常量来表示无穷大。
2. **Dijkstra算法**:实现了Dijkstra算法来找到从源点到目标点的最短时间路径。
3. **转换旅程时间**:将每段路程的时间从公里数和速度转换为分钟数。
4. **主函数**:调用Dijkstra算法,从顶点0(A点)到顶点7(H点),计算最短时间并输出结果。
运行此代码后,输出应为:
```
From A to H, the shortest time is: 0.00 hours
```
请注意,实际输出的时间取决于具体的图结构和给定的速度及距离数据。
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