1476. 子矩形查询
题目链接
来源:力扣(LeetCode)
链接:https://leetcode-cn.com/problems/subrectangle-queries/
著作权归领扣网络所有。商业转载请联系官方授权,非商业转载请注明出处。
题目描述
请你实现一个类 SubrectangleQueries ,它的构造函数的参数是一个 rows x cols 的矩形(这里用整数矩阵表示),并支持以下两种操作:
- updateSubrectangle(int row1, int col1, int row2, int col2, int newValue)
用 newValue 更新以 (row1,col1) 为左上角且以 (row2,col2) 为右下角的子矩形。 - getValue(int row, int col)
返回矩形中坐标 (row,col) 的当前值。
示例 1:
输入:
["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]]
输出:
[null,1,null,5,5,null,10,5]
解释:
SubrectangleQueries subrectangleQueries = new SubrectangleQueries([[1,2,1],[4,3,4],[3,2,1],[1,1,1]]);
// 初始的 (4x3) 矩形如下:
// 1 2 1
// 4 3 4
// 3 2 1
// 1 1 1
subrectangleQueries.getValue(0, 2); // 返回 1
subrectangleQueries.updateSubrectangle(0, 0, 3, 2, 5);
// 此次更新后矩形变为:
// 5 5 5
// 5 5 5
// 5 5 5
// 5 5 5
subrectangleQueries.getValue(0, 2); // 返回 5
subrectangleQueries.getValue(3, 1); // 返回 5
subrectangleQueries.updateSubrectangle(3, 0, 3, 2, 10);
// 此次更新后矩形变为:
// 5 5 5
// 5 5 5
// 5 5 5
// 10 10 10
subrectangleQueries.getValue(3, 1); // 返回 10
subrectangleQueries.getValue(0, 2); // 返回 5
示例 2:
输入:
["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]]
输出:
[null,1,null,100,100,null,20]
解释:
SubrectangleQueries subrectangleQueries = new SubrectangleQueries([[1,1,1],[2,2,2],[3,3,3]]);
subrectangleQueries.getValue(0, 0); // 返回 1
subrectangleQueries.updateSubrectangle(0, 0, 2, 2, 100);
subrectangleQueries.getValue(0, 0); // 返回 100
subrectangleQueries.getValue(2, 2); // 返回 100
subrectangleQueries.updateSubrectangle(1, 1, 2, 2, 20);
subrectangleQueries.getValue(2, 2); // 返回 20
提示:
- 最多有 500 次updateSubrectangle 和 getValue 操作。
- 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
题目分析
- 根据题目描述,私有成员变量matrix存储矩阵
- 成员函数updateSubrectangle内使用双重循环修改矩阵的值
- 成员函数getValue返回矩阵指定位置的值
代码
class SubrectangleQueries {
private:
vector<vector<int>> matrix;
public:
SubrectangleQueries(vector<vector<int>>& rectangle) {
matrix = rectangle;
}
void updateSubrectangle(int row1, int col1, int row2, int col2, int newValue) {
for (int row = row1; row <= row2; row++) {
for (int col = col1; col <= col2; col++) {
matrix[row][col] = newValue;
}
}
}
int getValue(int row, int col) {
return matrix[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);
*/