void Tree::Accept (Visitor& visitor) const
{
DepthFirstTraversal (PreOrder (visitor));
}
int main(int argc, char **argv) {
int i, j;
int node_1, node_2;
root_child_count = 0;
/* Get the number of nodes */
scanf("%i", &numNodes);
/* Create the matrix that will hold the Graph */
Graph = (int ***)calloc(numNodes, sizeof(int **));
for (i = 0; i < numNodes; i++) {
Graph[i] = (int **)calloc(numNodes, sizeof(int *));
}
/* Get the list of edges and put them in the matrix */
while (scanf("%i %i", &node_1, &node_2) && (node_1 || node_2)) {
node_1--;
node_2--;
/* Any non NULL value denotes a edge between node_1 & node_2 */
Graph[node_1][node_2] = (int *)calloc(1, sizeof(int));
*(Graph[node_1][node_2]) = NOT_IN_SPANNING_TREE;
Graph[node_2][node_1] = Graph[node_1][node_2];
}
/* The identity matrix Graph[x][x] is synonymous for prenum[x] in the assignment spec */
/* If prenum[x] is negative, then node x is an articulation point */
/* Graph[x][0] holds the higest[x] array */
DepthFirstTraversal(0);
/* Output */
/* Handle the root node */
printf("1\t1\t1\t%c\n", (root_child_count > 1) ? '*' : '\0');
/* Do the rest */
for (i = 1; i < numNodes; i++) {
printf("%d\t%d\t%d\t%c\n", i + 1, ABS(*(Graph[i][i])) + 1, *(Graph[i][0]) + 1, (*(Graph[i][i]) < 0) ? '*' : '\0');
}
/* Ok, lets clean up after ourselves */
for (i = 0; i < numNodes; i++) {
for (j = 0; j < numNodes; j++) {
if (Graph[i][j]) {
free (Graph[i][j]);
if (j > i) {
Graph[j][i] = NULL;
}
}
}
free(Graph[i]);
}
free(Graph);
/* Mmmm, implicit success, ahhhhhhh */
return(0);
}
int
DepthFirstTraversal(int node) {
static int prenum_count = 0;
int *prenum, *child_prenum, *edge;
int i, higest, child_higest, sign;
int articulate = 0;
/* Show that this node has been visited */
prenum = Graph[node][node] = (int *)calloc(1, sizeof(int));
/* Set the nodes sequence number in the spanning tree */
*prenum = higest = prenum_count++;
for (i = 0; i < numNodes; i++) {
if (i != node) {
edge = Graph[node][i];
/* Check for an edge, node->i */
if (edge) {
child_prenum = Graph[i][i];
/* Check to see if this child node has not been visited */
if (!child_prenum) {
/* cheap and nasty hack to calculate if the root node is an articulation point */
if (!node) {
root_child_count++;
}
/* Denote that this edge was visted by this node by stamping it with our node sequence number */
*edge = *prenum;
/* DepthFirstTraversal will return the calculated "higest" value for this child node */
child_higest = DepthFirstTraversal(i);
/* Since the root node is a special case, the "higest" value can be kept in the edge field for i->0. */
sign = 1;
/* Handle the case where there is no edge between i and the root node */
if (!Graph[i][0]) {
Graph[i][0] = (int *)calloc(1, sizeof(int));
} else if (*(Graph[i][0]) < 0) {
/* If there is an edge between i and the root node and it is not a part of the spanning tree, then we have to make the
resulting edge value negative. */
sign = -1;
}
/* If there is an edge between i and the root node, but it is in the spanning tree, we don't have to worry, the way that the
root node calcuates if it is an articulation point is done on if it has two or more child nodes */
*(Graph[i][0]) = child_higest * sign;
} else {
/* See if the edge to the node i is not in the spanning tree and has a lower "prenum" value */
if (*edge < 0) {
higest = MIN(higest, ABS(*child_prenum));
}
}
/* Is i a child of node, see footnote 0xdeadbeef */
if (*edge == *prenum) {
/* See if this child's "highest" value is smaller than the current nodes "higest" value */
higest = MIN(higest, child_higest);
/* Check to see if we have an articulation point, note: It has to be done only once. */
if (!articulate && (child_higest >= *prenum)) {
/* Yes we do! Denote this by inverting the polarity of the prenum */
articulate = 1;
}
}
}
}
}
if (articulate) {
*prenum *= -1;
}
return(higest);
}
void Tree::Accept (Visitor& visitor) const
{
PreOrder pre (visitor);
DepthFirstTraversal (pre );
////////////
}