📄 maze.cpp
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// find a path in a maze
#include <iostream.h>
#include "stack.h"
#include "position.h"
#include "make2db.h"
// globals
int **maze, m;
Stack<Position> *path; // pointer to stack
void welcome() {};
bool InputMaze()
{// Input the maze.
cout << "Enter maze size" << endl;
cin >> m;
Make2DArray(maze, m+2, m+2);
cout << "Enter maze in row major order" << endl;
for (int i=1; i<=m; i++)
for (int j=1; j<=m; j++) cin >> maze[i][j];
return true;
}
bool FindPath()
{// Find a path from (1,1) to the exit (m,m).
// Return true if successful, false if impossible.
// Throw NoMem exception if inadequate space.
path = new Stack<Position>(m * m - 1);
// initialize offsets
Position offset[4];
offset[0].row = 0; offset[0].col = 1; // right
offset[1].row = 1; offset[1].col = 0; // down
offset[2].row = 0; offset[2].col = -1; // left
offset[3].row = -1; offset[3].col = 0; // up
// initialize wall of obstacles around maze
for (int i = 0; i <= m+1; i++) {
maze[0][i] = maze[m+1][i] = 1; // bottom and top
maze[i][0] = maze[i][m+1] = 1; // left and right
}
Position here;
here.row = 1;
here.col = 1;
maze[1][1] = 1; // prevent return to entrance
int option = 0; // next move
int LastOption = 3;
// search for a path
while (here.row != m || here.col != m) {// not exit
// find a neighbor to move to
int r, c;
while (option <= LastOption) {
r = here.row + offset[option].row;
c = here.col + offset[option].col;
if (maze[r][c] == 0) break;
option++; // next option
}
// was a neighbor found?
if (option <= LastOption) {// move to maze[r][c]
path->Add(here);
here.row = r; here.col = c;
// set to 1 to prevent revisit
maze[r][c] = 1;
option = 0;
}
else {// no neighbor to move to, back up
if (path->IsEmpty()) return false;
Position next;
path->Delete(next);
if (next.row == here.row)
option = 2 + next.col - here.col;
else option = 3 + next.row - here.row;
here = next;
}
}
return true; // at exit
}
void OutputPath()
{// Output path to exit.
cout << "The path is" << endl;
Position here;
while (!path->IsEmpty()) {
path->Delete(here);
cout << here.row << ' ' << here.col << endl;}
}
void main(void)
{
welcome();
InputMaze();
if (FindPath()) OutputPath();
else cout << "No path" << endl;
}
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