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Home » 2011 » August » 15 » Hirschberg's Algorithm Pseudocode
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Hirschberg's Algorithm Pseudocode

 Hirschberg's Algorithm Pseudocode1. Pseudocode:   High-level description of the forwards subprogram```Forwards[x,y] is `````` ``````1. n = length(x); m = length(y) ``````2. Edit[Prefix[0,0]] = 0; ``````3. For all i from 1 to n: ```` Edit[Prefix[x,i],Prefix[y,0]] = Edit[Prefix[x,i-1],Prefix[y,0]]```` + Del(x_i) ``````4. For all j from 1 to m: ```` A. Edit[Prefix[x,0],Prefix[y,j]] = Edit[Prefix[x,0],Prefix[y,j-1]]```` + Ins(y_j) `````` B. For all i from 1 to n, execute the following steps: `````` i. Edit[Prefix[x,i],Prefix[y,j]] = `````` min{Edit[Prefix[x,i-1],Prefix[y,j]] + Del(x_i), `````` Edit[Prefix[x,i-1],Prefix[y,j-1]] + Sub(x_i,y_j), `````` Edit[Prefix[x,i],Prefix[y,j-1]] + Ins(y_j)} `````` ii. Erase Edit[Prefix[x,i-1],Prefix[y,j-1]] `````` C. Erase Edit[Prefix[x,i-1],Prefix[y,j]] ````5. RETURN Edit[x] %% an array of length m+1`   High-level description of the backwards subprogram```Backwards[x,y] is `````` ``````1. n = length(x); m = length(y) ``````2. For all i from 1 to n: `````` Edit[Suffix[x,i],Suffix[y,0]] = 0 ``````3. For all j from 1 to m: ```` A. Edit[Suffix[x,0],Suffix[y,j]] = Edit[Suffix[x,n],Suffix[y,j-1]] +```` Ins(y_{m-j+1}) `````` B. For all i from 1 to n: `````` i. Edit[Suffix[x,i],Suffix[y,j]] = `````` min{Edit[Suffix[x,i-1],Suffix[y,j]] + Del(x_{n-i-1}), ```` Edit[Suffix[x,i-1],Suffix[y,j-1]] +```` Sub(x_{n-i-1},y_{m-j+1}), `````` Edit[Suffix[x,i],Suffix[y,j-1]] + Ins(y_{m-j+1})} `````` ii. Erase Edit[Suffix[x,i-1],Suffix[y,j-1]] `````` C. Erase Edit[Suffix[x,i-1],Suffix[y,j]] ````4. RETURN Edit[x] %% an array of length m+1`
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