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Solution.kt
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class Solution {
val res = ArrayList<ArrayList<String>>()
var col = BooleanArray(0, { false })
var dia1 = BooleanArray(0, { false })
var dia2 = BooleanArray(0, { false })
fun solveNQueens(n: Int): List<List<String>> {
col = BooleanArray(n, { false })
dia1 = BooleanArray(2 * n + 1, { false })
dia2 = BooleanArray(2 * n + 1, { false })
res.clear()
putQueen(n, 0, ArrayList())
return res
}
// 在 n 皇后问题中,摆放第 index 行的皇后
private fun putQueen(n: Int, index: Int, row: ArrayList<Int>) {
if (n == index) {
res.add(generateBoard(n, row))
}
(0 until n).forEach { i ->
if (!col[i] && !dia1[index + i] && !dia2[index - i + n - 1]) {
row.add(i)
col[i] = true
dia1[index + i] = true
dia2[index - i + n - 1] = true
putQueen(n, index + 1, row)
col[i] = false
dia1[index + i] = false
dia2[index - i + n - 1] = false
row.remove(i)
}
}
}
private fun generateBoard(n: Int, row: ArrayList<Int>): ArrayList<String> {
val board = ArrayList<String>()
CharArray(n, { '.' }).toString()
(0 until n).forEach { i ->
val chars = CharArray(n, { '.' })
chars[row[i]] = 'Q'
board.add(String(chars))
}
return board
}
}
fun main(args: Array<String>) {
val n = 8
Solution().solveNQueens(n).forEach { list ->
list.forEach(::println)
println()
}
}