# 1292. Maximum Side Length of a Square with Sum Less than or Equal to
# Threshold
"""
given a 'm x n' matrix 'mat' and an integer 'threshold', return the maximum
side-length of a square with a sum less than or equal to 'threshold' or
return 0 if there is no such square.
"""
class Solution(object):
def maxSideLength(self, mat, threshold):
"""
:type mat: List[List[int]]
:type threshold: int
:rtype: int
"""
best = 0
def a(i, j):
return mat[i][j] if i >= 0 <= j else 0
for i in range(len(mat)):
for j in range(len(mat[0])):
mat[i][j] += a(i - 1, j) + a(i, j - 1) - a(i - 1, j - 1)
best += (
i >= best <= j
and a(i, j)
- a(i - best - 1, j)
- a(i, j - best - 1)
+ a(i - best - 1, j - best - 1)
<= threshold
)
return best
if __name__ == "__main__":
obj = Solution()
print(
obj.maxSideLength(
mat=[[1, 1, 3, 2, 4, 3, 2], [1, 1, 3, 2, 4, 3, 2], [1, 1, 3, 2, 4, 3, 2]],
threshold=4,
)
)
print(
obj.maxSideLength(
mat=[
[2, 2, 2, 2, 2],
[2, 2, 2, 2, 2],
[2, 2, 2, 2, 2],
[2, 2, 2, 2, 2],
[2, 2, 2, 2, 2],
],
threshold=1,
)
)
