matrix traverse problem

path.c

// =====================================================================================
//
//       Filename:  path.c
//
//    Description:  
//
//        Version:  1.0
//        Created:  03/26/2014 09:31:02 PM
//       Revision:  none
//       Compiler:  gcc
//
//         Author:  Halit Alptekin (), [email protected]
//   Organization:  
//
// =====================================================================================
#include <stdio.h>
#include <stdlib.h>

int** init_matrix(unsigned int row, unsigned int col){
    int i, j;
    int** matrix = (int**)malloc(sizeof(int)*row);
    for(i=0;i<row;i++) matrix[i] = (int*)malloc(sizeof(int)*col);
    for(i=0;i<row;i++) for(j=0;j<col;j++) scanf("%d", &matrix[i][j]);
    return matrix;
}

int* init_path_matrix(unsigned int size){
    return (int*)malloc(sizeof(int)*size);
}

void destroy_path_matrix(int* matrix){
    free(matrix);
}

void destroy_matrix(int** matrix, unsigned int row){
    int i;
    for(i=0;i<row;i++) free(matrix[i]);
    free(matrix);
}

void print_matrix(int** matrix, unsigned int row, unsigned int col){
    int i, j;
    for(i=0;i<row;i++){
        for(j=0;j<col;j++) printf("%3d ", matrix[i][j]);
        printf("\n");
    }
}

void print_path(int* path, unsigned int size){
    int i;
    for(i=0;i<size-1;i++) printf("%d->", path[i]);
    printf("%d\n", path[size-1]);
}

void path_matrix(int** matrix, int* path, unsigned int pi, unsigned int i, unsigned int j, unsigned int row, unsigned int col){
    if((i == row-1) && (j == col-1)){
        path[pi] = matrix[i][j];
        print_path(path, row+col-1);
        return;
    }

    if((i >= row) || (j >= col)) return;
    
    path[pi] = matrix[i][j];

    path_matrix(matrix, path, pi+1, i+1, j  , row, col);
    path_matrix(matrix, path, pi+1, i,   j+1, row, col);
}

int main(int argc, const char *argv[]){
    unsigned int row = 3;
    unsigned int col = 3;

    int** matrix = init_matrix(row, col);
    int* path_array = init_path_matrix(row+col-1);

    print_matrix(matrix, row, col);
    path_matrix(matrix, path_array, 0, 0, 0, row, col);

    destroy_matrix(matrix, row);
    destroy_path_matrix(path_array);

    return 0;
}