2-String Kite

Updated

A 2-String Kite is a single-digit pattern made of one strong link in a row and one strong link in a column, with an end of each sitting in the same box: one of the two free ends must hold the digit, so the cell where the free ends’ column and row cross cannot.

How Suuudokuuu finds a 2-String Kite

There is no dedicated 2-String Kite detector in Suuudokuuu’s engine. The kite is a four-cell X-Chain — strong link along the row, weak link inside the box, strong link along the column — and the X-Chain detector, which searches shortest chains first, finds it and reports it under that name. The hint and the step-by-step solver will say X-Chain; this page gives the shape its usual name so you can spot it faster.

The two strings are the strong links: in the row the digit has only two cells, and in the column only two. The two ends that share a box cannot both hold the digit, which is the weak link that ties the strings together. Follow it from either free end: if one free end is not the digit, its partner is, which rules out the box partner, which forces the other free end. Either way a free end holds the digit.

Worked example

A position from a Hard puzzle in the rated sample. On 9, row 1 holds only r1c3 and r1c8 and column 1 holds only r2c1 and r8c1, and r1c3 and r2c1 share box 1. One of the free ends r1c8 and r8c1 is 9, so r8c8 cannot be.
c1c2c3c4c5c6c7c8c9
r15168468973162169146
r216916258416793167
r33746921614685
r44938516716712671267
r516716867831672549
r616725416791679136781671367
r72379679514791798
r86795679143789367926792367
r984127937936795679367
Pattern cells
r1c8, r1c3, r2c1, r8c1
Eliminations
9 from r8c8

The row string runs from r1c8 to r1c3, the column string from r2c1 to r8c1, and r1c3 and r2c1 are the two ends that meet in box 1. They cannot both be 9, so at least one of the free ends, r1c8 or r8c1, is 9. r8c8 shares column 8 with r1c8 and row 8 with r8c1, so it sees both free ends; it was carrying 2, 6, 7 and 9, and the 9 goes.

How to spot a 2-String Kite

  1. Find a row and a column with two candidatesFor one digit, look for a row where it has exactly two candidates and a column where it has exactly two.
  2. Check that they meet in a boxOne candidate from the row and one from the column must sit in the same box, without being the same cell.
  3. Find the crossing cellTake the free end of the row string and the free end of the column string. The cell in the free row end’s column and the free column end’s row sees both.
  4. Erase the digit thereRemove the digit from that crossing cell. If the box ends are in the same row or column, it is not a kite.

Common mistakes

The Skyscraper uses two parallel lines instead of a row and a column, and the Turbot Fish is the general four-cell chain behind both. Every pattern the engine implements is on the technique index.

2-String Kite FAQ

Is a 2-String Kite an X-Chain?

Yes. It is a four-cell X-Chain whose strong links are a row and a column and whose weak link is a shared box, which is why Suuudokuuu’s engine reports it as an X-Chain.

What will the Suuudokuuu hint call a 2-String Kite?

X-Chain. The hint names the detector that found the deduction, and the kite is found by the X-Chain detector, so the hint highlights the same four cells under the chain’s name.