0%

### leetcode Longest Increasing Subsequence

Given an unsorted array of integers, find the length of longest increasing subsequence.

For example, Given [10, 9, 2, 5, 3, 7, 101, 18], The longest increasing subsequence is [2, 3, 7, 101], therefore the length is 4. Note that there may be more than one LIS combination, it is only necessary for you to return the length.

Your algorithm should run in O(n2) complexity.

Follow up: Could you improve it to O(n log n) time complexity?

dp[i] 为 以 A[i]结尾的LIS，那么对于dp[i]有dp[i] =max( dp[j] + 1) [ 0<= j < i, nums[j] < nums[i]  ]

dp[i] 为 以 A[i]结尾的LIS ， g(i) = min ( A[j]) ( dp[j] = i) 即g(i)表示上升子序列为i，结尾最小的值。

python  O(n^2)

python  O(nlogn)