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= max (ci, j1 ci1,j) if i,j > 0 and x i ¹ y j Could use this to write an exponential algorithm via recursion However, there are only Q (m n) subproblems, so we use DP Store ci,j and bi,j which points to the optimal subproblem chosen cm,n contains the length of the LCS and bm,n directions used to build it LCSLength ( X, Y ) m ¬ lengthX n ¬ lengthY for i ¬ 1 to m.

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