Medium
You are given a positive integer n
, indicating that we initially have an n x n
0-indexed integer matrix mat
filled with zeroes.
You are also given a 2D integer array query
. For each query[i] = [row1i, col1i, row2i, col2i]
, you should do the following operation:
1
to every element in the submatrix with the top left corner (row1i, col1i)
and the bottom right corner (row2i, col2i)
. That is, add 1
to mat[x][y]
for all row1i <= x <= row2i
and col1i <= y <= col2i
.Return the matrix mat
after performing every query.
Example 1:
Input: n = 3, queries = [[1,1,2,2],[0,0,1,1]]
Output: [[1,1,0],[1,2,1],[0,1,1]]
Explanation: The diagram above shows the initial matrix, the matrix after the first query, and the matrix after the second query.
In the first query, we add 1 to every element in the submatrix with the top left corner (1, 1) and bottom right corner (2, 2).
In the second query, we add 1 to every element in the submatrix with the top left corner (0, 0) and bottom right corner (1, 1).
Example 2:
Input: n = 2, queries = [[0,0,1,1]]
Output: [[1,1],[1,1]]
Explanation: The diagram above shows the initial matrix and the matrix after the first query.
Constraints:
1 <= n <= 500
1 <= queries.length <= 104
0 <= row1i <= row2i < n
0 <= col1i <= col2i < n
class Solution {
fun rangeAddQueries(n: Int, queries: Array<IntArray>): Array<IntArray> {
val g = Array(n) { IntArray(n) }
for (q in queries) {
val r1 = q[0]
val c1 = q[1]
val r2 = q[2]
val c2 = q[3]
g[r1][c1]++
if (c2 < n - 1) {
g[r1][c2 + 1]--
}
if (r2 < n - 1) {
g[r2 + 1][c1]--
}
if (c2 < n - 1 && r2 < n - 1) {
g[r2 + 1][c2 + 1]++
}
}
for (i in 0 until n) {
for (j in 0 until n) {
if (i > 0) {
g[i][j] += g[i - 1][j]
}
if (j > 0) {
g[i][j] += g[i][j - 1]
}
if (i > 0 && j > 0) {
g[i][j] -= g[i - 1][j - 1]
}
}
}
return g
}
}