给定两个整数 n 和 k，返回 1 ... n 中所有可能的 k 个数的组合。

示例:

输入: n = 4, k = 2
输出:
[
[2,4],
[3,4],
[2,3],
[1,2],
[1,3],
[1,4],
]

来源：力扣（LeetCode）
链接：https://leetcode-cn.com/problems/combinations
著作权归领扣网络所有。商业转载请联系官方授权，非商业转载请注明出处。

 

 

class Solution:
    def combine(self, n: int, k: int) -> List[List[int]]:
        def backtrack(first = 1, curr = []):
            # if the combination is done
            if len(curr) == k:  
                output.append(curr[:])
            for i in range(first, n + 1):
                # add i into the current combination
                curr.append(i)
                # use next integers to complete the combination
                backtrack(i + 1, curr)
                # backtrack
                curr.pop()
        
        output = []
        backtrack()
        return output