题目:​​原题链接​​(中等)

标签:数组、动态规划

解法

时间复杂度

空间复杂度

执行用时

Ans 1 (Python)

构造 = O ( N × M ) ; 查询 = O ( 1 )

O ( N × M )

68ms (94.43%)

Ans 2 (Python)

Ans 3 (Python)

解法一:

class NumMatrix:
def __init__(self, matrix: List[List[int]]):
if not matrix or not matrix[0]:
self.dp = None
else:
m, n = len(matrix), len(matrix[0])
self.dp = [[0] * (n + 1) for _ in range(m + 1)]
for i in range(1, m + 1):
for j in range(1, n + 1):
self.dp[i][j] = matrix[i - 1][j - 1] + self.dp[i][j - 1] + self.dp[i - 1][j] - self.dp[i - 1][j - 1]

def sumRegion(self, row1: int, col1: int, row2: int, col2: int) -> int:
if self.dp is not None:
return self.dp[row2 + 1][col2 + 1] - self.dp[row2 + 1][col1] - self.dp[row1][col2 + 1] + self.dp[row1][col1]
else:
return 0