考点 | 难度 |
---|---|
DP | Medium |
A wiggle sequence is a sequence where the differences between successive numbers strictly alternate between positive and negative. The first difference (if one exists) may be either positive or negative. A sequence with one element and a sequence with two non-equal elements are trivially wiggle sequences.
For example, [1, 7, 4, 9, 2, 5]
is a wiggle sequence because the differences (6, -3, 5, -7, 3)
alternate between positive and negative.
In contrast, [1, 4, 7, 2, 5]
and [1, 7, 4, 5, 5]
are not wiggle sequences. The first is not because its first two differences are positive, and the second is not because its last difference is zero.
A subsequence is obtained by deleting some elements (possibly zero) from the original sequence, leaving the remaining elements in their original order.
Given an integer array nums
, return the length of the longest wiggle subsequence of nums
.
O(n) time, O(1) space
class Solution:def wiggleMaxLength(self, nums):if not nums:return 0length = 1up = None # current is increasing or notfor i in range(1, len(nums)):if nums[i] > nums[i - 1] and up != True:length += 1up = Trueif nums[i] < nums[i - 1] and up != False:length += 1up = Falsereturn length