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  • Wiggle Subsequence

    A sequence of numbers is called a wiggle sequence if 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 fewer than two elements is trivially a wiggle sequence.

    For example, [1,7,4,9,2,5] is a wiggle sequence because the differences (6,-3,5,-7,3) are alternately positive and negative. In contrast,[1,4,7,2,5] and [1,7,4,5,5] are not wiggle sequences, the first because its first two differences are positive and the second because its last difference is zero.

    Given a sequence of integers, return the length of the longest subsequence that is a wiggle sequence. A subsequence is obtained by deleting some number of elements (eventually, also zero) from the original sequence, leaving the remaining elements in their original order.

    Examples:

    Input: [1,7,4,9,2,5]
    Output: 6
    The entire sequence is a wiggle sequence.
    
    Input: [1,17,5,10,13,15,10,5,16,8]
    Output: 7
    There are several subsequences that achieve this length. One is [1,17,10,13,10,16,8].
    
    Input: [1,2,3,4,5,6,7,8,9]
    Output: 2
    

    Follow up:
    Can you do it in O(n) time?

    Runtime: 0ms. 

     1 class Solution {
     2 public:
     3     int wiggleMaxLength(vector<int>& nums) {
     4         int positive = 1, negative = 1, n = nums.size();
     5         for(int i = 1; i < nums.size(); i++) {
     6             if(nums[i] > nums[i - 1]) positive = negative + 1;
     7             else if(nums[i] < nums[i - 1]) negative = positive + 1;
     8         }
     9         return min(n, max(positive, negative));
    10     }
    11 };
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  • 原文地址:https://www.cnblogs.com/amazingzoe/p/5743419.html
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