Problem

Given an binary array nums and an integer k, return true if all 1’s are at least k places away from each other, otherwise return false.

https://leetcode.com/problems/check-if-all-1s-are-at-least-length-k-places-away/

Example 1:

case1

Input: nums = [1,0,0,0,1,0,0,1], k = 2
Output: true
Explanation: Each of the 1s are at least 2 places away from each other.

Example 2:

case2

Input: nums = [1,0,0,1,0,1], k = 2
Output: false
Explanation: The second 1 and third 1 are only one apart from each other.

Constraints:

  • 1 <= nums.length <= 10⁵
  • 0 <= k <= nums.length
  • nums[i] is 0 or 1

Test Cases

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class Solution:
def kLengthApart(self, nums: List[int], k: int) -> bool:
solution_test.py
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import pytest

from solution import Solution


@pytest.mark.parametrize('nums, k, expected', [
([1,0,0,0,1,0,0,1], 2, True),
([1,0,0,1,0,1], 2, False),
])
@pytest.mark.parametrize('sol', [Solution()])
def test_solution(sol, nums, k, expected):
assert sol.kLengthApart(nums, k) == expected

Thoughts

如果位置 i 的数字是 1,那么最近的下一个可以是 1 的位置是 pos = i + k + 1,如果从 i + 1pos - 1 中有任何位置是 1 则返回 false。

Code

solution.py
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class Solution:
def kLengthApart(self, nums: list[int], k: int) -> bool:
edge = -1
for i, num in enumerate(nums):
if num == 0: continue
if i <= edge: return False
edge = i + k

return True