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?
题目链接:https://leetcode.com/problems/wiggle-subsequence/
题目分析:容易发现题目就是要求数字序列单调性改变的次数
class Solution {
public int wiggleMaxLength(int[] nums) {
if (nums.length == 0) {
return 0;
}
int ans = 1, i = 1;
while (i < nums.length && nums[i] == nums[0]) {
i++;
}
if (i == nums.length) {
return 1;
}
ans++;
boolean isIncr = nums[i - 1] < nums[i];
for (; i < nums.length - 1; i++) {
if (nums[i] < nums[i + 1] && !isIncr) {
ans++;
isIncr = true;
} else if (nums[i] > nums[i + 1] && isIncr) {
ans++;
isIncr = false;
}
}
return ans;
}
}