The Column for Letter "E"

Now that we've filled in the column for the letter B, let's move on to the column for the letter E from the string best.

Calculating the Costs

Starting with E and T, we again find that the two letters are different, so the edit cost is 1. Here are the calculations for the cell:

1. From Above: (1 + 1 = 2)
2. From the Left: (2 + 1 = 3)
3. From the Diagonal: (1 + 1 = 2)

The minimum of these is 2, so we place it in the cell where E intersects with T.

Next, we move to E and e. The two letters are the same, so the edit cost is 0. The calculations for this cell are:

1. From Above: (2 + 1 = 3)
2. From the Left: (1 + 1 = 2)
3. From the Diagonal: (0 + 1 = 1)

The minimum is 1, so we place it in the cell where E intersects with e.

The Updated Matrix

Here's how our matrix looks after filling in the "E" column:

We've successfully filled in the second column for the letter E. As before, we'd continue this process for the remaining columns to complete the matrix and find the total edit distance.