Easy
You are given a n x n
2D array grid
containing distinct elements in the range [0, n2 - 1]
.
Implement the neighborSum
class:
neighborSum(int [][]grid)
initializes the object.int adjacentSum(int value)
returns the sum of elements which are adjacent neighbors of value
, that is either to the top, left, right, or bottom of value
in grid
.int diagonalSum(int value)
returns the sum of elements which are diagonal neighbors of value
, that is either to the top-left, top-right, bottom-left, or bottom-right of value
in grid
.Example 1:
Input:
[“neighborSum”, “adjacentSum”, “adjacentSum”, “diagonalSum”, “diagonalSum”]
[[[[0, 1, 2], [3, 4, 5], [6, 7, 8]]], [1], [4], [4], [8]]
Output: [null, 6, 16, 16, 4]
Explanation:
Example 2:
Input:
[“neighborSum”, “adjacentSum”, “diagonalSum”]
[[[[1, 2, 0, 3], [4, 7, 15, 6], [8, 9, 10, 11], [12, 13, 14, 5]]], [15], [9]]
Output: [null, 23, 45]
Explanation:
Constraints:
3 <= n == grid.length == grid[0].length <= 10
0 <= grid[i][j] <= n2 - 1
grid[i][j]
are distinct.value
in adjacentSum
and diagonalSum
will be in the range [0, n2 - 1]
.2 * n2
calls will be made to adjacentSum
and diagonalSum
.class NeighborSum(private val grid: Array<IntArray>) {
private val n = grid.size
private val rowIndex = IntArray(n * n)
private val colIndex = IntArray(n * n)
init {
// Precompute the positions of each value in the grid for quick access
for (i in 0 until n) {
for (j in 0 until n) {
rowIndex[grid[i][j]] = i
colIndex[grid[i][j]] = j
}
}
}
fun adjacentSum(value: Int): Int {
var sum = 0
val i = rowIndex[value]
val j = colIndex[value]
// Check up
if (i > 0) {
sum += grid[i - 1][j]
}
// Check down
if (i < n - 1) {
sum += grid[i + 1][j]
}
// Check left
if (j > 0) {
sum += grid[i][j - 1]
}
// Check right
if (j < n - 1) {
sum += grid[i][j + 1]
}
return sum
}
fun diagonalSum(value: Int): Int {
var sum = 0
val i = rowIndex[value]
val j = colIndex[value]
// Check top-left
if (i > 0 && j > 0) {
sum += grid[i - 1][j - 1]
}
// Check top-right
if (i > 0 && j < n - 1) {
sum += grid[i - 1][j + 1]
}
// Check bottom-left
if (i < n - 1 && j > 0) {
sum += grid[i + 1][j - 1]
}
// Check bottom-right
if (i < n - 1 && j < n - 1) {
sum += grid[i + 1][j + 1]
}
return sum
}
}
/*
* Your neighborSum object will be instantiated and called as such:
* var obj = neighborSum(grid)
* var param_1 = obj.adjacentSum(value)
* var param_2 = obj.diagonalSum(value)
*/