g0301_0400.s0304_range_sum_query_2d_immutable.NumMatrix Maven / Gradle / Ivy
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Java-based LeetCode algorithm problem solutions, regularly updated
package g0301_0400.s0304_range_sum_query_2d_immutable;
// #Medium #Array #Matrix #Design #Prefix_Sum #Dynamic_Programming_I_Day_14
// #Programming_Skills_II_Day_13 #Udemy_2D_Arrays/Matrix
// #2022_07_07_Time_153_ms_(87.51%)_Space_133.5_MB_(19.29%)
public class NumMatrix {
private int[][] tot;
public NumMatrix(int[][] matrix) {
if (matrix == null || matrix.length == 0 || matrix[0].length == 0) {
return;
}
// The dimensions of this tot matrix is actually 1 bigger than the given matrix, cool!
tot = new int[matrix.length + 1][matrix[0].length + 1];
for (int i = 0; i < matrix.length; i++) {
for (int j = 0; j < matrix[0].length; j++) {
tot[i + 1][j + 1] = matrix[i][j] + tot[i + 1][j] + tot[i][j + 1] - tot[i][j];
}
}
}
public int sumRegion(int row1, int col1, int row2, int col2) {
return tot[row2 + 1][col2 + 1]
- tot[row2 + 1][col1]
- tot[row1][col2 + 1]
+ tot[row1][col1];
}
}
/*
* Your NumMatrix object will be instantiated and called as such:
* NumMatrix obj = new NumMatrix(matrix);
* int param_1 = obj.sumRegion(row1,col1,row2,col2);
*/