376. 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

AC代码,runtime 0ms.

 1 class Solution {
 2 public:
 3     int wiggleMaxLength(vector<int>& nums) {
 4         if(nums.empty())return 0;
 5         int ret=1,length=nums.size(),diff,bg=1;
 6         for(;bg<length;bg++){
 7             diff=nums[bg]-nums[bg-1];
 8             if(diff!=0){
 9                 ret++;
10                 break;
11             }
12             if(bg==length)return ret;
13         }
14         for(int i=bg+1;i<length;i++){
15             int tmpdiff=nums[i]-nums[i-1];
16             if(tmpdiff==0)continue;
17             if(tmpdiff*diff<0){
18                 diff=tmpdiff;
19                 ret++;
20             }
21         }
22         return ret;
23     }
24 };
原文地址:https://www.cnblogs.com/Z-Sky/p/5700774.html