Area of Square
Given an MxN matrix filled with
The first line of input will be containing two space-separated integers, denoting M and N.
The next M lines will contain N space-separated integers, denoting the elements of the matrix.
The output should be a single line containing the area of the maximum square.
For example, if the given M, N and elements of matrix are as the following
4 5
X O X O O
X O X X X
X X O X X
X O O X O
The matrix from indices (1, 3) to (2, 4) has the maximum square with
X. So the output should be the area of the maximum rectangle with X, which is 4.
Sample Input 1
4 5
X O X O O
X O X X X
X X O X X
X O O X O
Sample Output 1
4
Sample Input 2
3 3
O X X
O X X
O O O
Sample Output 2
4
def X_Only(Matrix:list):
for row in Matrix:
for cell in row:
# check if value is not X
if cell!='X':
return False
return True
def sub_size(lent:int):
for start in range(lent):
for stop in range(start+1, lent+1):
yield(start, stop)
def squareAreaWithX(matr:list, M:int, N:int):
maximum_area = 0
for begin_x, stop_x in sub_size(M):
for begin_y, stop_y in sub_size(N):
temp_matrix = [i[begin_y:stop_y] for i in matr[begin_x:stop_x]]
if X_Only(temp_matrix):
x= stop_x-begin_x
y= stop_y-begin_y
if maximum_area < x*y:
maximum_area=x*y
print(maximum_area)
while True:
s = input()
M, N = [int(i) for i in s.split()]
matrix = list([] for i in range(N))
for i in range(M):
matrix[i]=list(input().split())
#calculate area of the largest X matrix
squareAreaWithX(matrix, M, N)
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