最长递增子序列 python

Posted 2020-07-23

最长递增子子序列，这是动态规划里的经典问题了。

python代码如下

def get_max_increase_sequence1(a):
    # dp[i] = max{dp[j] | 0<=j<i,a[i]<a[j] } + 1
    # O(n**2)
    num=len(a)
    dp=[0]*num
    for i in xrange(num):
        for j in xrange(i):
            if a[j]<a[i] and dp[j]>dp[i]:
            # a[j]<a[i] means that dp[i] should base on dp[j]
            # update dp[j] and select bigger one
                dp[i]=dp[j]
        dp[i]+=1
    return dp

a=[1,2,3,4,0,1]
print get_max_increase_sequence1(a)

get_max_increase_sequence.py

听说还有优化方法，下次再写吧。