States defined: dp[i]
representatives designated as i
the maximum swing of the end of the sequence
as well as 0 the positive and negative involved here
so the use of up[i]
memory is by far the longest with the first i
one up to the end of the length of the sequence elements swing.
Similarly, the down[i]
record is by far the longest at the first i
longitudinal end of the drop th element of the wobble sequence.
Whenever we find the first i
element of a rise time swinging tail sequence of updates up[i]
. We now consider how to update up[i]
, we need to consider all of the front end of the swing in descending sequence, that is to find down[j]
, meet j < i
and nums[i]>nums[j]
. Similarly, down[i]
it will be updated.
/**
* dp[i] 的意义是以下标i结尾的最长摆动序列
*/
class Solution {
public int wiggleMaxLength(int[] nums) {
if (nums.length <= 1) return nums.length;
int n = nums.length;
int[] up = new int[n];
int[] down = new int[n];
for (int i = 1; i < n; i++) {
for (int j = i - 1; j >= 0; j--) {
if(nums[i] - nums[j] > 0){
up[i] = Math.max(up[i],down[j] + 1);
}else if (nums[i] < nums[j])
down[i] = Math.max(down[i],up[j] + 1);
}
}
return 1 + Math.max(down[nums.length - 1], up[nums.length - 1]);
}
public static void main(String[] args) {
int[] nums = {1,2,3,4,5,6,7,8,9};
System.out.println(new Solution().wiggleMaxLength(nums));//2
}
}