最长上升子序列vs最长连续递增子序列 Python3版本

 最长上升子序列:

from bisect import bisect_left
class Solution(object):
    def lengthOfLIS(self, nums):
        """
        :type nums: List[int]
        :rtype: int
        """
        result = []
        for i in nums:
            index = bisect_left(result,i)
            if index == len(result):
                result.append(i)
            else:
                result[index] = i
        return len(result)

该方法时间复杂度为nlogn,动态规划的时间复杂度为n2。

最长连续递增子序列:

class Solution(object):
    def findLengthOfLCIS(self, nums):
        result = 0
        start = 0
        for i in range(len(nums)):
            if i and nums[i-1] >= nums[i]:
                start = i
            result = max(result, i - start + 1)
        return result

时间复杂度O(n).

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