Given a matrix containing lower alphabetical characters only, we need to print all palindromic paths in given matrix.
A path is defined as a sequence of cells starting from top-left cell and ending at bottom-right cell.
We are allowed to move to right and down only from current cell. We cannot go down diagonally.
Input: matrx[][] = {"aaab”,
"baaa”
“abba”}
Output:
abaaba
aaaaaa
aaaaaa
Explanation :
aaaaaa (0, 0) -> (0, 1) -> (1, 1) ->
(1, 2) -> (1, 3) -> (2, 3)
aaaaaa (0, 0) -> (0, 1) -> (0, 2) ->
(1, 2) -> (1, 3) -> (2, 3)
abaaba (0, 0) -> (1, 0) -> (1, 1) ->
(1, 2) -> (2, 2) -> (2, 3)
def isPalin(str): temp=str[::-1] return 1 if temp==str else 0 def palindromicPath(str, a, i, j, m, n): if (j < n - 1 or i < m - 1) : if (i < m - 1): palindromicPath(str + a[i][j], a, i + 1, j, m, n) if (j < n - 1): palindromicPath(str + a[i][j], a, i, j + 1, m, n) else : str = str + a[m - 1][n - 1] if isPalin(str): print(str) # Driver Matrx = [] ''' Matrx = [[ 'a', 'a', 'a', 'b' ], ['b', 'a', 'a', 'a' ], [ 'a', 'b', 'b', 'a' ]] ''' while True: arr=input("") if arr == "": break Matrx.append(list(arr)) str = "" palindromicPath(str,Matrx, 0, 0, len(Matrx), len(Matrx[0]))
INPUT_1:
aaab
baaa
abba
OUTPUT:
abaaba
aaaaaa
aaaaaa
INPUT_2:
yyyy
xxxx
yyyy
OUTPUT:
yxxxxy
yyxxyy
ILLUSTRATION
Morae Q!
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