Kode #12: hints & solution

Here's the clue board for Kode #12. Start with the spoiler-free hints. If you're still stuck, the full step-by-step solution is below, hidden until you open it.

The clue board

Each row is a guess that's already been graded. ▲ means a right digit in the right spot; ● means a right digit in the wrong spot.

  • 11574▲1●1
  • 28514▲0●2
  • 35476▲1●1
  • 44301▲0●2
  • 52834▲0●0

Spoiler-free hints

  • 2 of the four digits are even.
  • The four digits add up to 12.
  • 2 of the digits are 5 or higher.

Try the hints first. The solution below walks through every deduction.

Step-by-step solution

Every Kode can be cracked by pure deduction, with no guessing. This board falls in 10 logical steps. Open the solution to follow them one at a time.

Show the solution · reveals the code

When a row "rules out" a position, it shows that digit there but its ▲ marks are already used up (or it has none), so the digit can't sit there.

  1. Row 5 (2 8 3 4) has no marks at all, so 2, 8, 3, and 4 are not in the code.
  2. Row 2 (8 5 1 4) has 2 marks still unexplained, and only 2 digits are left undecided: 5 and 1. So both are in the code.
  3. Row 1 (1 5 7 4) has 2 marks, already accounted for by 1 and 5. That rules out 7.
  4. Row 3 (5 4 7 6) has one mark still unexplained, and only one digit is left undecided: 6. So it is in the code.
  5. Row 4 (4 3 0 1) has one mark still unexplained, and only one digit is left undecided: 0. So it is in the code.
  6. That makes all four digits of the code: 0, 1, 5, and 6. Every other digit is out, which also rules out 9.
  7. Row 1 (1 5 7 4) has one digit in the right spot. Since row 2 rules out the 5 in position 2, it has to be the 1 in position 1.
  8. Row 3 (5 4 7 6) has one digit in the right spot. Since position 1 is already 1, it has to be the 6 in position 4.
  9. The 0 has only one spot left: position 2 (row 4 rules out position 3, position 1 is already 1, and position 4 is already 6).
  10. That leaves the 5 for position 3.

That cracks it: the code is 1056.