leetcode 978

问题

A subarray A[i], A[i+1], ..., A[j] of A is said to be turbulent if and only if:

  • For i <= k < j, A[k] > A[k+1] when k is odd, and A[k] < A[k+1] when k is even;
  • OR, for i <= k < j, A[k] > A[k+1] when k is even, and A[k] < A[k+1] when k is odd.

That is, the subarray is turbulent if the comparison sign flips between each adjacent pair of elements in the subarray.

Return the length of a maximum size turbulent subarray of A.

Example 1:

1
2
3
Input: [9,4,2,10,7,8,8,1,9]
Output: 5
Explanation: (A[1] > A[2] < A[3] > A[4] < A[5])

Example 2:

1
2
Input: [4,8,12,16]
Output: 2

Example 3:

1
2
Input: [100]
Output: 1

Note:

  1. 1 <= A.length <= 40000
  2. 0 <= A[i] <= 10^9

分析

对于每一个 $A[i]$ ,inc 表示当前结尾是上升数字的有效序列的长度,dec表示当前结尾是下降数字的有效序列的长度。

代码

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
class Solution {
public:
int maxTurbulenceSize(vector<int>& A) {
int inc = 1, dec = 1, ans = 1;
for (int i = 1; i < A.size(); ++i) {
if (A[i] > A[i-1]) {
inc = dec + 1;
dec = 1;
} else if (A[i] < A[i-1]) {
dec = inc + 1;
inc = 1;
} else {
dec = 1;
inc = 1;
}
ans = max(ans, max(dec, inc));
}
return ans;
}
};