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1476. Subrectangle Queries

Description

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 1:

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

Example 2:

Input
["SubrectangleQueries","getValue","updateSubrectangle","getValue","getValue","updateSubrectangle","getValue"]
[[[[1,1,1],[2,2,2],[3,3,3]]],[0,0],[0,0,2,2,100],[0,0],[2,2],[1,1,2,2,20],[2,2]]
Output
[null,1,null,100,100,null,20]
Explanation
SubrectangleQueries subrectangleQueries = new SubrectangleQueries([[1,1,1],[2,2,2],[3,3,3]]);
subrectangleQueries.getValue(0, 0); // return 1
subrectangleQueries.updateSubrectangle(0, 0, 2, 2, 100);
subrectangleQueries.getValue(0, 0); // return 100
subrectangleQueries.getValue(2, 2); // return 100
subrectangleQueries.updateSubrectangle(1, 1, 2, 2, 20);
subrectangleQueries.getValue(2, 2); // return 20

 

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

Solutions

Solution 1

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class SubrectangleQueries:
    def __init__(self, rectangle: List[List[int]]):
        self.g = rectangle
        self.ops = []

    def updateSubrectangle(
        self, row1: int, col1: int, row2: int, col2: int, newValue: int
    ) -> None:
        self.ops.append((row1, col1, row2, col2, newValue))

    def getValue(self, row: int, col: int) -> int:
        for r1, c1, r2, c2, v in self.ops[::-1]:
            if r1 <= row <= r2 and c1 <= col <= c2:
                return v
        return self.g[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)
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class SubrectangleQueries {
    private int[][] g;
    private LinkedList<int[]> ops = new LinkedList<>();

    public SubrectangleQueries(int[][] rectangle) {
        g = rectangle;
    }

    public void updateSubrectangle(int row1, int col1, int row2, int col2, int newValue) {
        ops.addFirst(new int[] {row1, col1, row2, col2, newValue});
    }

    public int getValue(int row, int col) {
        for (var op : ops) {
            if (op[0] <= row && row <= op[2] && op[1] <= col && col <= op[3]) {
                return op[4];
            }
        }
        return g[row][col];
    }
}

/**
 * Your SubrectangleQueries object will be instantiated and called as such:
 * SubrectangleQueries obj = new SubrectangleQueries(rectangle);
 * obj.updateSubrectangle(row1,col1,row2,col2,newValue);
 * int param_2 = obj.getValue(row,col);
 */
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class SubrectangleQueries {
public:
    vector<vector<int>> g;
    vector<vector<int>> ops;

    SubrectangleQueries(vector<vector<int>>& rectangle) {
        g = rectangle;
    }

    void updateSubrectangle(int row1, int col1, int row2, int col2, int newValue) {
        ops.push_back({row1, col1, row2, col2, newValue});
    }

    int getValue(int row, int col) {
        for (int i = ops.size() - 1; ~i; --i) {
            auto op = ops[i];
            if (op[0] <= row && row <= op[2] && op[1] <= col && col <= op[3]) {
                return op[4];
            }