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 };