Labyrinth is given as a block of n * n binary matrix, wherein the source block is the top left block, i.e. Maze [0] [0], the target block is the lower right block, i.e. Maze [n-1] [ n-1]. Mouse departure from the source, must arrive at the destination. Mouse only move in two directions: forward and downward.
Matrix in the maze, the dead end of a block 0, block 1 may be used to represent the path from source to destination. Please note that this is a simple version of a typical maze problem. For example, a more complex version of the mouse may be movable in four directions, and the limited number of the more complex versions may move.
The following is an example of a maze.
Backtracking Backtracking trilogy:
1 initialize the raw data, the starting point
2 to determine the next step is legal, legitimate if it continues recursively search for answers, if not legally return
3 recursively until you find the answer returns a true value
Here just need to find a solution on it, so long as a solution is found can be returned immediately.
/* A Maze is given as N*N binary matrix of blocks where source block is the upper left most block i.e., maze[0][0] and destination block is lower rightmost block i.e., maze[N-1][N-1]. A rat starts from source and has to reach destination. The rat can move only in two directions: forward and down. In the maze matrix, 0 means the block is dead end and 1 means the block can be used in the path from source to destination. */ #include <iostream> #define size 4 using namespace std; int solveMaze(int currposrow, int currposcol, int maze[size][size], int soln[size][size]) { if ((currposrow == size - 1) && (currposcol == size - 1)) { soln[currposrow][currposcol] = 1; for (int i = 0; i<size; ++i) { for (int j = 0; j<size; ++j) { cout << soln[i][j]; } cout << endl; } return 1; } else { soln[currposrow][currposcol] = 1; // if there exist a solution by moving one step ahead in a collumn if ((currposcol<size - 1) && maze[currposrow][currposcol + 1] == 1 && solveMaze(currposrow, currposcol + 1, maze, soln)) { return 1; } // if there exists a solution by moving one step ahead in a row if ((currposrow<size - 1) && maze[currposrow + 1][currposcol] == 1 && solveMaze(currposrow + 1, currposcol, maze, soln)) { return 1; } // the backtracking part soln[currposrow][currposcol] = 0; return 0; } } int main(int argc, char const *argv[]) { int maze[size][size] = { { 1, 0, 1, 0 }, { 1, 0, 1, 1 }, { 1, 0, 0, 1 }, { 1, 1, 1, 1 } }; int soln[size][size]; for (int i = 0; i<size; ++i) { for (int j = 0; j<size; ++j) { soln[i][j] = 0; } } int currposrow = 0; int currposcol = 0; solveMaze(currposrow, currposcol, maze, soln); system("pause"); return 0; }