Medium
Given two integers n
and k
, return all possible combinations of k
numbers chosen from the range [1, n]
.
You may return the answer in any order.
Example 1:
Input: n = 4, k = 2
Output: [[1,2],[1,3],[1,4],[2,3],[2,4],[3,4]]
Explanation: There are 4 choose 2 = 6 total combinations. Note that combinations are unordered, i.e., [1,2] and [2,1] are considered to be the same combination.
Example 2:
Input: n = 1, k = 1
Output: [[1]]
Explanation: There is 1 choose 1 = 1 total combination.
Constraints:
1 <= n <= 20
1 <= k <= n
class Solution {
fun combine(n: Int, k: Int): List<List<Int>> {
val ans: MutableList<List<Int>> = ArrayList()
// Boundary case
if (n > 20 || k < 1 || k > n) {
return ans
}
backtrack(ans, n, k, 1, ArrayDeque())
return ans
}
private fun backtrack(ans: MutableList<List<Int>>, n: Int, k: Int, s: Int, stack: ArrayDeque<Int>) {
// Base case
// If k becomes 0
if (k == 0) {
ans.add(ArrayList(stack))
return
}
// Start with s till n-k+1
for (i in s..n - k + 1) {
stack.addLast(i)
// Update start for recursion and decrease k by 1
backtrack(ans, n, k - 1, i + 1, stack)
stack.removeLast()
}
}
}