1476.SubrectangleQueries.py

"""
    Implement the class SubrectangleQueries which receives a rows x cols 
    rectangle as a matrix of integers in the constructor and supports two 
    methods:
    1. updateSubrectangle(int row1, int col1, int row2, int col2, int newValue)
        - Updates all values with newValue in the subrectangle whose upper left 
          coordinate is (row1,col1) and bottom right coordinate is (row2,col2).
    2. getValue(int row, int col)
        - Returns the current value of the coordinate (row,col) from the 
          rectangle.

    Example:
    Input:
    ["SubrectangleQueries","getValue","updateSubrectangle","getValue","getValue","updateSubrectangle","getValue","getValue"]
    [[[[1,2,1],[4,3,4],[3,2,1],[1,1,1]]],[0,2],[0,0,3,2,5],[0,2],[3,1],[3,0,3,2,10],[3,1],[0,2]]
    Output:
    [null,1,null,5,5,null,10,5]

    Explanation:
    SubrectangleQueries subrectangleQueries = 
                    new SubrectangleQueries([[1,2,1],[4,3,4],[3,2,1],[1,1,1]]);  
    // The initial rectangle (4x3) looks like:
    // 1 2 1
    // 4 3 4
    // 3 2 1
    // 1 1 1
    subrectangleQueries.getValue(0, 2); // return 1
    subrectangleQueries.updateSubrectangle(0, 0, 3, 2, 5);
    // After this update the rectangle looks like:
    // 5 5 5
    // 5 5 5
    // 5 5 5
    // 5 5 5 
    subrectangleQueries.getValue(0, 2); // return 5
    subrectangleQueries.getValue(3, 1); // return 5
    subrectangleQueries.updateSubrectangle(3, 0, 3, 2, 10);
    // After this update the rectangle looks like:
    // 5   5   5
    // 5   5   5
    // 5   5   5
    // 10  10  10 
    subrectangleQueries.getValue(3, 1); // return 10
    subrectangleQueries.getValue(0, 2); // return 5

    Constraints:
        - There will be at most 500 operations considering both methods: 
          updateSubrectangle and getValue.
        - 1 <= rows, cols <= 100
        - rows == rectangle.length
        - cols == rectangle[i].length
        - 0 <= row1 <= row2 < rows
        - 0 <= col1 <= col2 < cols
        - 1 <= newValue, rectangle[i][j] <= 10^9
        - 0 <= row < rows
        - 0 <= col < cols
"""
#Difficulty: Medium
#52 / 52 test cases passed.
#Runtime: 220 ms
#Memory Usage: 15.7 MB

#Runtime: 220 ms, faster than 64.23% of Python3 online submissions for Subrectangle Queries.
#Memory Usage: 15.7 MB, less than 40.00% of Python3 online submissions for Subrectangle Queries.

class SubrectangleQueries:

    def __init__(self, rectangle: List[List[int]]):
        self.rectangle = rectangle

    def updateSubrectangle(self, row1: int, col1: int, row2: int, col2: int, newValue: int) -> None:
        for row in range(row1, row2 + 1):
            for col in range(col1, col2 + 1):
                self.rectangle[row][col] = newValue

    def getValue(self, row: int, col: int) -> int:
        return self.rectangle[row][col]


# Your SubrectangleQueries object will be instantiated and called as such:
# obj = SubrectangleQueries(rectangle)
# obj.updateSubrectangle(row1,col1,row2,col2,newValue)
# param_2 = obj.getValue(row,col)