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376. Wiggle Subsequence

时间:2019-01-01 17:17:58      阅读:134      评论:0      收藏:0      [点我收藏+]

标签:tween   lte   HERE   first   cto   max   -o   this   tor   

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.

Example 1:

Input: [1,7,4,9,2,5]
Output: 6
Explanation: The entire sequence is a wiggle sequence.

Example 2:

Input: [1,17,5,10,13,15,10,5,16,8]
Output: 7
Explanation: There are several subsequences that achieve this length. One is [1,17,10,13,10,16,8].

Example 3:

Input: [1,2,3,4,5,6,7,8,9]
Output: 2

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

 

Approach #1: C++.

class Solution {
public:
    int wiggleMaxLength(vector<int>& nums) {
        int size = nums.size();
        if (size == 0) return 0;
        int old_slope = 0;
        int new_slope = 0;
        int ans = 1;
        for (int i = 1; i < size; ++i) {
            new_slope = (nums[i] - nums[i-1]) > 0 ? 1 : (nums[i] - nums[i-1]) < 0 ? -1 : 0;
            if (new_slope == 0) continue;
            if (new_slope == 1 && old_slope == -1 || new_slope == -1 && old_slope == 1)
                ans++;
            old_slope = new_slope;
        }
        if (old_slope == 0 && new_slope == 0) return ans;
        return ans + 1;
    }
};

  

 

376. Wiggle Subsequence

标签:tween   lte   HERE   first   cto   max   -o   this   tor   

原文地址:https://www.cnblogs.com/ruruozhenhao/p/10204993.html

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