@Buckler...reading your solution and you seem to miss how much information we actually get from D4. Referring to your Step 3, knowing that 4 is in A2 does allow us to figure that the 5 in a row can't be of numbers. But because of D4 we already know much more than that.
D4 means that there has to be 1 number in every column and every row. That means there can't be a horizontal or vertical row of letters or numbers. There can't be 5 numbers in a column or row because then the numbers wouldn't be the only one in their column or row. But if a row or column has 5 letters, that would leave the 5 numbers to be placed in the 4 remaining rows or columns, also violating D4. So from D4 alone, we know that whatever the row of 5 is, it has to be diagonal. Since we already have A1, we know the diagonal has to be A5-E1. And since we already know where the 4 is, we know the diagonal has to be of letters.
Separate from that, we also know a column of 5 letters is impossible because of B2.
So, at Step 5 you say that A3-E3 is now eliminated as a possibility for 5 letters in a row because E3 is a number. But we already knew from D4 that there had to be a number SOMEWHERE on row 3. You further state that we've now narrowed it down to either a vertical or diagonal row of letters, but again, we already knew a column of letters wasn't possible both from D4 by itself and from B2. |