Medium
You are given an m x n
integer matrix grid
, where m
and n
are both even integers, and an integer k
.
The matrix is composed of several layers, which is shown in the below image, where each color is its own layer:
A cyclic rotation of the matrix is done by cyclically rotating each layer in the matrix. To cyclically rotate a layer once, each element in the layer will take the place of the adjacent element in the counter-clockwise direction. An example rotation is shown below:
Return the matrix after applying k
cyclic rotations to it.
Example 1:
Input: grid = [[40,10],[30,20]], k = 1
Output: [[10,20],[40,30]]
Explanation: The figures above represent the grid at every state.
Example 2:
Input: grid = [[1,2,3,4],[5,6,7,8],[9,10,11,12],[13,14,15,16]], k = 2
Output: [[3,4,8,12],[2,11,10,16],[1,7,6,15],[5,9,13,14]]
Explanation: The figures above represent the grid at every state.
Constraints:
m == grid.length
n == grid[i].length
2 <= m, n <= 50
m
and n
are even integers.1 <= grid[i][j] <= 5000
1 <= k <= 109
class Solution {
fun rotateGrid(grid: Array<IntArray>, k: Int): Array<IntArray> {
rotateInternal(grid, 0, grid[0].size - 1, 0, grid.size - 1, k)
return grid
}
private fun rotateInternal(grid: Array<IntArray>, left: Int, right: Int, up: Int, bottom: Int, k: Int) {
if (left > right || up > bottom) {
return
}
val loopLen = (right - left + 1) * 2 + (bottom - up + 1) * 2 - 4
val realK = k % loopLen
if (realK != 0) {
rotateLayer(grid, left, right, up, bottom, realK)
}
rotateInternal(grid, left + 1, right - 1, up + 1, bottom - 1, k)
}
private fun rotateLayer(grid: Array<IntArray>, left: Int, right: Int, up: Int, bottom: Int, k: Int) {
val startPoint = intArrayOf(up, left)
val loopLen = (right - left + 1) * 2 + (bottom - up + 1) * 2 - 4
val arr = IntArray(loopLen)
var idx = 0
var currPoint: IntArray? = startPoint
var startPointAfterRotation: IntArray? = null
while (idx < arr.size) {
arr[idx] = grid[currPoint!![0]][currPoint[1]]
idx++
currPoint = getNextPosCC(left, right, up, bottom, currPoint)
if (idx == k) {
startPointAfterRotation = currPoint
}
}
idx = 0
currPoint = startPointAfterRotation
if (currPoint != null) {
while (idx < arr.size) {
grid[currPoint!![0]][currPoint[1]] = arr[idx]
idx++
currPoint = getNextPosCC(left, right, up, bottom, currPoint)
}
}
}
private fun getNextPosCC(left: Int, right: Int, up: Int, bottom: Int, curr: IntArray?): IntArray {
val x = curr!![0]
val y = curr[1]
return if (x == up && y > left) {
intArrayOf(x, y - 1)
} else if (y == left && x < bottom) {
intArrayOf(x + 1, y)
} else if (x == bottom && y < right) {
intArrayOf(x, y + 1)
} else {
intArrayOf(x - 1, y)
}
}
}