967. Numbers With Same Consecutive Differences

# 967. Numbers With Same Consecutive Differences

## 刷题内容

Return all non-negative integers of length N such that the absolute difference between every two consecutive digits is K.

Note that every number in the answer must not have leading zeros except for the number 0 itself. For example, 01 has one leading zero and is invalid, but 0 is valid.

You may return the answer in any order.

Example 1:

Input: N = 3, K = 7
Output: [181,292,707,818,929]
Explanation: Note that 070 is not a valid number, because it has leading zeroes.
Example 2:

Input: N = 2, K = 1
Output: [10,12,21,23,32,34,43,45,54,56,65,67,76,78,87,89,98]

Note:

1 <= N <= 9
0 <= K <= 9

## 解题方案

- 时间复杂度: O((10-K)^N)- 空间复杂度: O(1)

beats 100%

`python
class Solution:
def numsSameConsecDiff(self, N, K):
"""
:type N: int