Direct Claiming

Direct Claiming is Claiming with a payoff. When every candidate for a digit in a row or column sits inside one 3×3 box, you can already erase it from the rest of the box — that's regular Claiming. But if that erasure leaves some other row or column with only one spot left for the digit, you get to place it right away instead of waiting for the next round.

What is Direct Claiming?

Regular Claiming already does half the work: a digit's candidates in a row or column all sit in one box, so the rest of the box can't have it. Direct Claiming just keeps going — it looks at the other rows and columns crossing that box and checks whether one of them ends up with a single remaining candidate for the digit. If it does, that's the placement. You skip the separate Hidden Single step and get the answer in one move.

How to spot it

Find a Claiming deduction first: in one row or column, all remaining positions for a digit lie in one box. Apply its off-the-source-line box eliminations, then check every affected sector. If the digit now has only one position in a row, column, or box, that position is the direct placement.

The logic

The source row or column must contain the digit, and all its candidates are in one box — so the digit has to sit in that box on the source line. That locks it out of the rest of the box. Now any other line crossing the box has lost some candidates for the digit. If only one candidate remains on such a line, that cell has to be the digit, because there's nowhere else left on that line.