#K6826. Matrix Processor
Matrix Processor
Matrix Processor
You are given a 2D matrix of integers with dimensions \(n \times m\). The matrix uses 1-indexed notation. You need to perform a series of operations on the matrix. There are two types of operations:
- Q x1 y1 x2 y2: Query the sum of all elements in the submatrix from \( (x_1, y_1) \) to \( (x_2, y_2) \) (inclusive). The sum is given by \[ \sum_{i=x_1}^{x_2} \sum_{j=y_1}^{y_2} A_{i,j} \]</p>
- U x y v: Update the element at position \( (x, y) \) to \(v\).
For each query operation, output the result on a new line. Update operations do not produce any output.
inputFormat
The input is given from standard input (stdin) and has the following format:
- The first line contains two integers \(n\) and \(m\), representing the number of rows and columns of the matrix.
- The next \(n\) lines each contain \(m\) integers representing the initial matrix.
- The next line contains an integer \(q\), the number of operations to perform.
- Each of the next \(q\) lines describes an operation in one of the following forms:
Q x1 y1 x2 y2
for a query operation.U x y v
for an update operation.
outputFormat
For every query operation (lines starting with 'Q'), output the sum of the specified submatrix on a separate line to standard output (stdout).
## sample3 3
1 2 3
4 5 6
7 8 9
4
Q 1 1 3 3
U 2 2 10
Q 1 1 3 3
Q 2 2 3 3
45
50
33
</p>