用于查找整数数组中最大单调递增序列的长度的快速算法是什么。
From 维基百科：最长递增子序列 http://en.wikipedia.org/wiki/Longest_increasing_subsequence#Efficient_algorithms (O(n log n))
L = 0
for i = 1, 2, ... n:
binary search for the largest positive j ≤ L such that X[M[j]] < X[i] (or set j = 0 if no such value exists)
P[i] = M[j]
if j == L or X[i] < X[M[j+1]]:
M[j+1] = i
L = max(L, j+1)
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