最长连续递增子序列 -- Python

'''
最长连续递增子序列
dp[i]以nums[i]结尾的最长递增子序列的长度

if nums[i] > nums[j], 说明nums[i]能缀到nums[j]后面,
那么dp[i]就能+1了
dp[i+1] = max(dp[i + 1], dp[j] + 1)
'''


def length_of_lis(nums):
    len_nums = len(nums)
    if len_nums == 0:
        return 0

    dp = [1] * len_nums
    for i in range(len_nums - 1):
        for j in range(i + 1):
            # 如果nums[i+1]能缀在nums[j]后面的话,就dp[j]+1
            if nums[i + 1] > nums[j]:
                # 缀完的结果还要看看是不是比我大
                dp[i + 1] = max(dp[i + 1], dp[j] + 1)
    return max(dp)


if __name__ == '__main__':
    nums = [int(x) for x in input().split()]
    res = length_of_lis(nums)
    print(res)

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转载自blog.csdn.net/zdz0200/article/details/82761823