我必须使用邻接矩阵运行所有美国城市（我们给定的地图中的 41 个）。用户必须键入原点节点，然后算法必须运行所有美国城市，然后返回原点。
/* C program for solution of Hamiltonian Cycle problem
using backtracking */
#include<stdio.h>
// Number of vertices in the graph
#define infinite 0x3fffffff
#define V 41
void printSolution(int path[]);
/* A utility function to check if the vertex v can be added at
index 'pos' in the Hamiltonian Cycle constructed so far (stored
in 'path[]') */
bool isSafe(int v, int graph[V][V], int path[], int pos)
{
/* Check if this vertex is an adjacent vertex of the previously
added vertex. */
if (graph [ path[pos-1] ][ v ] == infinite)
return false;
/* Check if the vertex has already been included.
This step can be optimized by creating an array of size V */
for (int i = 0; i < pos; i++)
if (path[i] == v)
return false;
return true;
}
/* A recursive utility function to solve hamiltonian cycle problem */
bool hamCycleUtil(int graph[V][V], int path[], int pos)
{
/* base case: If all vertices are included in Hamiltonian Cycle */
if (pos == V)
{
// And if there is an edge from the last included vertex to the
// first vertex
if ( graph[ path[pos-1] ][ path[0] ] > 0 )
return true;
else
return false;
}
// Try different vertices as a next candidate in Hamiltonian Cycle.
// We don't try for 0 as we included 0 as starting point in hamCycle()
for (int v = 0; v < V; v++)
{
/* Check if this vertex can be added to Hamiltonian Cycle */
if (isSafe(v, graph, path, pos))
{
path[pos] = v;
/* recur to construct rest of the path */
if (hamCycleUtil (graph, path, pos+1) == true)
return true;
path[pos] = infinite;
}
}
return false;
}
bool hamCycle(int graph[V][V], int origin)
{
int f;
int *path = new int[V];
for (int i = 0; i < V; i++) {
path[i] = infinite;
f++;
}
printf("Nodes andadas: %d", f);
path[0] = origin;
if ( hamCycleUtil(graph, path, 1) == false )
{
printf("\nSolution does not exist");
return false;
}
printSolution(path);
return true;
}
/* A utility function to print solution */
void printSolution(int path[])
{
printf ("Solution Exists:"
" Following is one Hamiltonian Cycle \n");
for (int i = 0; i < V; i++)
printf(" %d --> ", path[i]);
// Let us print the first vertex again to show the complete cycle
printf(" %d ", path[0]);
printf("\n");
}
// driver program to test above function
int main()
{
int origin;
/* Let us create the following graph
(0)--(1)--(2)
| / \ |
| / \ |
| / \ |
(3)-------(4) */
int graph1[V][V] = { 0, 500, 170, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
500, 0, 420, infinite, 420, infinite, infinite, infinite, infinite, infinite, infinite, 670, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
170, 420, 0 , 640, 580, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
/*SF-3*/ infinite, infinite, 640, 0 , 300, 380, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
infinite, 420, 580, 300, 0, infinite, infinite, 780, infinite, infinite, infinite, infinite, 520, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, 380, infinite, 0, 120, 160, 270, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, 120, 0, 140, infinite, infinite, 350, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, 780, 160, 140, 0, 290, 440, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
/*las vegas - 8*/ infinite, infinite, infinite, infinite, infinite, 270, infinite, 290, 0, 470, infinite, infinite, 420, infinite, infinite, infinite, infinite,infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, 440, 470, 0, 360, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, 350, infinite, infinite, 360, 0, infinite, 660, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 1070, 990, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
infinite, 670, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 0, infinite, 930, infinite, infinite, infinite, 1340, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, 520, infinite, infinite, infinite, 420, infinite, 660, infinite, 0, 530, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 930, 530, 0, 160, 170, 120, infinite, 540, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 160, 0, 80, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 170, 80, 0, 180, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
/*colorado-17*/ infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 120, infinite, 180, 0, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 1340, infinite, infinite, infinite, infinite, infinite, 0, 380, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 340, 410, infinite, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 540, infinite, infinite, infinite, 380, 0, 190, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 470, infinite, infinite, infinite, infinite, infinite,
/*20*/ infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 190, 0, 550, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 250, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 1070, infinite, infinite, infinite, infinite, infinite, 730, infinite, infinite, 550, 0, 280, 250, infinite, infinite, infinite, infinite, 790, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 320,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 990, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 280, 0, 310, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 250, 310, 0, 530, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 530, 0, 860, infinite, 640, 470, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 860, 0, 30, 230, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
/*26*/ infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 30, 0, 180, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 640, 230, 180, 0, 440, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 790, infinite, infinite, 470, infinite, infinite, 440, 0, 560, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 240, 390, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 560, 0, 200, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 710, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 200, 0, 240, infinite, infinite, 530, infinite, 700, 590, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,infinite, 240, 0, 210, 150, 640, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 210, 0, 170, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 150, 170, 0, 650, infinite, infinite, infinite, infinite, infinite, infinite, infinite,
/*34*/ infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 530, 640, infinite, 650, 0, infinite, 280, infinite, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 340, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 0, 90, infinite, infinite, infinite, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 410, 470, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 530, infinite, infinite, infinite, 280, 90, 0, 180, infinite, infinite, 300, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 590, infinite, infinite, infinite, infinite, infinite, 180, 0, 290, infinite, 250, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 240, 710, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 290, 0, 210, infinite, infinite,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 390, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 210, 0, 290, 140,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 250, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 300, 250, infinite, 290, 0, 400,
infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 320, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, infinite, 140, 400, 0
};
// Print the solution
scanf("%d", &origin);
hamCycle(graph1, origin);
return 0;
}
我的问题是：算法运行所有节点，但不返回原点。他只是停在最后一个节点。谢谢您的帮助