845. Longest Mountain in Array
Let's call any (contiguous) subarray B (of A) a mountain if the following properties hold:
B.length >= 3
There exists some 0 < i < B.length - 1 such that B[0] < B[1] < ... B[i-1] < B[i] > B[i+1] > ... > B[B.length - 1]
(Note that B could be any subarray of A, including the entire array A.)
Given an array A of integers, return the length of the longest mountain.
Return 0 if there is no mountain.
Example 1:
Input: [2,1,4,7,3,2,5]
Output: 5
Explanation: The largest mountain is [1,4,7,3,2] which has length 5.
Example 2:
Input: [2,2,2]
Output: 0
Explanation: There is no mountain.
Note:
0 <= A.length <= 10000
0 <= A[i] <= 10000
Follow up:
Can you solve it using only one pass?
Can you solve it in O(1) space?
class Solution:
def longestMountain(self, A):
"""
:type A: List[int]
:rtype: int
"""
length = 0
for i in range(len(A)):
temp = 0
if i>0 and i<len(A)-1 and A[i]>A[i-1] and A[i]>A[i+1]:
temp = 1
start,end = i,i
while start>0 and A[start]>A[start-1]:
start -= 1
temp += 1
while end<len(A)-1 and A[end]>A[end+1]:
end += 1
temp +=1
length = max(temp,length)
return length
从中间到两边扩展,如果考虑起点和终点比较复杂,考虑山顶更容易。