====================================
:badge:`EASY,badge-info` 1476. Subrectangle Queries
====================================

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Problem Statement
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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.


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Examples
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.. code-block::
    :caption: 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

.. code-block::
    :caption: 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

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Constraints
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* 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

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Solution
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.. literalinclude:: solution.py
    :linenos:
    :language: python