SDE - 1

You are given a 'M' x 'N' matrix of characters, 'CHARACTER_MATRIX' and a string 'WORD'. Your task is to find and print all occurrences of the string in the given character matrix. You are allowed to search the string in all eight possible directions, i.e. North, South, East, West, North-East, North-West, South-East, South-West.

Note: There should not be any cycle in the output path. The entire string must lie inside the matrix boundary. You should not jump across boundaries, i.e. from row 'N' - 1 to 0 or column 'N' - 1 to 0 or vice versa.

Example:

Consider below matrix of characters,
[ 'D', 'E', 'X', 'X', 'X' ]
[ 'X', 'O', 'E', 'X', 'E' ] 
[ 'D', 'D', 'C', 'O', 'D' ]
[ 'E', 'X', 'E', 'D', 'X' ]
[ 'C', 'X', 'X', 'E', 'X' ]

If the given string is "CODE", below are all its occurrences in the matrix:

'C'(2, 2) 'O'(1, 1) 'D'(0, 0) 'E'(0, 1)
'C'(2, 2) 'O'(1, 1) 'D'(2, 0) 'E'(3, 0)
'C'(2, 2) 'O'(1, 1) 'D'(2, 1) 'E'(1, 2)
'C'(2, 2) 'O'(1, 1) 'D'(2, 1) 'E'(3, 0)
'C'(2, 2) 'O'(1, 1) 'D'(2, 1) 'E'(3, 2)
'C'(2, 2) 'O'(2, 3) 'D'(2, 4) 'E'(1, 4)
'C'(2, 2) 'O'(2, 3) 'D'(3, 3) 'E'(3, 2)
'C'(2, 2) 'O'(2, 3) 'D'(3, 3) 'E'(4, 3)

You are given a directed graph consisting of 'V' vertices and 'E' edges. You need to find whether a vertex i is reachable from all other vertices j for all pairs of vertices (i, j). A vertex 'j' is said to be reachable from vertex 'i' if and only if there exists a path that originates from vertex 'i' and terminates at the vertex 'j'.

Note :

1. Since it is a directed graph, all the edges are one way.
2. Every vertex is reachable to itself.
3. There are no self-loops or multiple edges between the same pair of nodes.
4. The graph may not be fully connected, there might be different disconnected components of the graph.

You are given a string of length N representing the morse code(s). You have to convert this code into the corresponding alphanumeric code containing small case english alphabet[a-z] and digits[0-9].

For your convenience, the full table for the 26 letters of the English alphabet and 10 numeric digits is given below:

list = [ ".-", "-...", "-.-.", "-..", ".", "..-.", "--.", "....", "..", ".---", "-.-", ".-..", "--", "-.", "---", ".--.", "--.-", ".-.", "...", "-", "..-", "...-", ".--", "-..-", "-.--", "--..", "-----", ".----", "..---", "...--", "....-", ".....", "-....", "--...", "---..", "----." ]      

where list[0] represents morse code for ‘a’, list[1] represents morse code for ‘b’, and list[35] represents morse code for ‘9’. Similarly, each letter and numeric is mapped with a morse code given in the list.