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POMinimum Edit Distance Reconstruction
 

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    <p>I know there are similar answer to this on stack, as well as online, but I feel I'm missing something. Given the code below, we need to reconstruct the sequence of events that led to the resulting minimum edit distance. For the code below, we need to write a function that outputs:</p> <pre><code>Equal, L, L Delete, E Equal, A, A Substitute, D, S Insert, T </code></pre> <p><strong>EDIT: CODE IS UPDATED WITH MY (PARTIALLY CORRECT) SOLUTION</strong></p> <p>Here is the code, with my partial solution. It works for example I was given ("lead" -> "last"), but doesn't work for the example below ("hint" -> "isnt"). I suspect this is because the first character is equal, which is throwing off my code. Any tips or pointers in the right direction would be great!</p> <pre><code>def printMatrix(M): for row in M: print row print def med(s, t): k = len(s) + 1 l = len(t) + 1 M = [[0 for i in range(k)] for j in range(l)] MTrace = [["" for i in range(k)] for j in range(l)] M[0][0] = 0 for i in xrange(0, k): M[i][0] = i MTrace[i][0] = s[i-1] for j in xrange(0, l): M[0][j] = j MTrace[0][j] = t[j-1] MTrace[0][0] = "DONE" for i in xrange(1, k): for j in xrange(1, l): sub = 1 sub_op = "sub" if s[i-1] == t[j-1]: # equality sub = 0 sub_op = "eq" # deletion min_value = M[i-1][j] + 1 op = "del" if min_value &gt; M[i][j-1] + 1: # insertion min_value = M[i][j-1] + 1 op = "ins" if min_value &gt; M[i-1][j-1] + sub: # substitution min_value = M[i-1][j-1] + sub op = sub_op M[i][j] = min_value MTrace[i][j] = op print "final Matrix" printMatrix(M) printMatrix(MTrace) ############ MY PARTIAL SOLUTION def array_append(array,x,y): ops_string = MTrace[x][y] if ops_string == 'ins': array.append(("Insert",MTrace[0][y])) elif ops_string == 'sub': array.append(("Substitute",MTrace[x][0],MTrace[0][y])) elif ops_string == 'eq': array.append(("Equal",MTrace[x][0],MTrace[0][y])) elif ops_string == 'del': array.append(("Delete",MTrace[x][0])) i = len(s) j = len(t) ops_array = [] base = M[i][j] array_append(ops_array,i,j) while MTrace[i][j] != "DONE": base = M[i][j] local_min = min(M[i][j-1],M[i-1][j],M[i-1][j-1]) if base == local_min: i = i - 1 j = j - 1 array_append(ops_array,i,j) elif M[i][j-1] &lt; M[i-1][j]: j = j -1 array_append(ops_array,i,j) elif M[i-1][j] &lt; M[i][j-1]: i = i - 1 array_append(ops_array,i,j) else: i = i - 1 j = j - 1 array_append(ops_array,i,j) print ops_array ######### return M[k-1][l-1] print med('lead', 'last') </code></pre>
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