SDE - 1

You are given an ‘M*N’ Matrix, You need to print all possible paths from its top left corner to the bottom right corner if given that you can either move right i.e from (i,j) to (i,j+1) or down i.e from (i, j) to (i+1, j).

For Example :

1 2 3
4 5 6

For the above 2*3 matrix , possible paths are (1 2 3 6) , (1 2 5 6) , (1 4 5 6).

Note :

You can return the paths in any order.

Create 2 tables and perform different operations on them.

• Inner Join
• Outer Join
• Left Outer Join

What is the difference between SQL and NoSQL databases?

Write the code for both semaphore operations.

You are given a starting position for a rat which is stuck in a maze at an initial point (0, 0) (the maze can be thought of as a 2-dimensional plane). The maze would be given in the form of a square matrix of order 'N' * 'N' where the cells with value 0 represent the maze’s blocked locations while value 1 is the open/available path that the rat can take to reach its destination. The rat's destination is at ('N' - 1, 'N' - 1). Your task is to find all the possible paths that the rat can take to reach from source to destination in the maze. The possible directions that it can take to move in the maze are 'U'(up) i.e. (x, y - 1) , 'D'(down) i.e. (x, y + 1) , 'L' (left) i.e. (x - 1, y), 'R' (right) i.e. (x + 1, y).

Note:

Here, sorted paths mean that the expected output should be in alphabetical order.

For Example:

Given a square matrix of size 4*4 (i.e. here 'N' = 4):
1 0 0 0
1 1 0 0
1 1 0 0
0 1 1 1 
Expected Output:
DDRDRR DRDDRR 
i.e. Path-1: DDRDRR and Path-2: DRDDRR

The rat can reach the destination at (3, 3) from (0, 0) by two paths, i.e. DRDDRR and DDRDRR when printed in sorted order, we get DDRDRR DRDDRR.