给定一个二维矩阵 matrix,以下类型的多个请求:
(row1, col1) ,右下角为 (row2, col2) 。实现 NumMatrix 类:
NumMatrix(int[][] matrix) 给定整数矩阵 matrix 进行初始化int sumRegion(int row1, int col1, int row2, int col2) 返回左上角 (row1, col1) 、右下角 (row2, col2) 的子矩阵的元素总和。
示例 1:

输入: ["NumMatrix","sumRegion","sumRegion","sumRegion"] [[[[3,0,1,4,2],[5,6,3,2,1],[1,2,0,1,5],[4,1,0,1,7],[1,0,3,0,5]]],[2,1,4,3],[1,1,2,2],[1,2,2,4]] 输出: [null, 8, 11, 12] 解释: NumMatrix numMatrix = new NumMatrix([[3,0,1,4,2],[5,6,3,2,1],[1,2,0,1,5],[4,1,0,1,7],[1,0,3,0,5]]]); numMatrix.sumRegion(2, 1, 4, 3); // return 8 (红色矩形框的元素总和) numMatrix.sumRegion(1, 1, 2, 2); // return 11 (绿色矩形框的元素总和) numMatrix.sumRegion(1, 2, 2, 4); // return 12 (蓝色矩形框的元素总和)
提示:
m == matrix.lengthn == matrix[i].length1 <= m, n <= 200-105 <= matrix[i][j] <= 1050 <= row1 <= row2 < m0 <= col1 <= col2 < n104 次 sumRegion 方法
注意:本题与主站 304 题相同: https://leetcode-cn.com/problems/range-sum-query-2d-immutable/