Synthesizing Linear Array Algorithms From Nested for Loop Algorithms
Synthesizing Linear Array Algorithms From Nested for Loop Algorithms
P Lee
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Output: Matrix C[l.. M, l.. N], where C[i, j] = the length of the longest common subsequence of >1[1.. ?] and B[l.. J]. For i = 1 to m for J = 1 to n ifA[i]=B[j] then C[i, j]:=C[i- I, j- 1] + 1 else C[i, j] := max{C[i, i - l], C[i - l, j]} end_for end_for 4 ON SYNTHESIS OF LINEAR ARRAY ALGORITHMS 17 Here the algorithm model Ag = ({{i. J)'\l l[l.. M] and B[l.. N]. Output: Matrix C[l.. M, l.. N], where C[i, j] = the length of the longest common subsequence of . 4[1.. 2] and i?[l.. J]. For i = 1 t...o m for j = 1 to n 1. A^''J^[i] := /l(--^-i)[f]; 2. 5(''J)[j] := 5('-i'^'[i]; 3. C^''j)[i-lJ-l]:=C^'-'-^-''>[i-l, j-l]; 4. C(''J'[(:, i - 1] := c
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