很經典的一個算法。大家做工程和通信用的著。遺傳算法（Genetic Algorithm）是模擬達爾文的遺傳選擇和自然淘汰的生物進化過程的計算模型，是一種通過模擬自然進化過程搜索最優解的方法，它是有美國Michigan大學J.Holland教授于1975年首先提出來的，并出版了頗有影響的專著《Adaptation in Natural and Artificial Systems》，GA這個名稱才逐漸為人所知，J.Holland教授所提出的GA通常為簡單遺傳算法（SGA）。
Instead of finding the longest common
subsequence, let us try to determine the
length of the LCS.
Then tracking back to find the LCS.
Consider a1a2…am and b1b2…bn.
Case 1: am=bn. The LCS must contain am,
we have to find the LCS of a1a2…am-1 and
b1b2…bn-1.
Case 2: am≠bn. Wehave to find the LCS of
a1a2…am-1 and b1b2…bn, and a1a2…am and
b b b
b1b2…bn-1
Let A = a1 a2 … am and B = b1 b2 … bn
Let Li j denote the length of the longest i,g g
common subsequence of a1 a2 … ai and b1 b2
… bj.
Li,j = Li-1,j-1 + 1 if ai=bj
max{ L L } a≠b i-1,j, i,j-1 if ai≠j
L0,0 = L0,j = Li,0 = 0 for 1≤i≤m, 1≤j≤n.
