Kode #200: hints & solution

Here's the clue board for Kode #200. Start with the spoiler-free hints. If you're still stuck, the full step-by-step solution is below, hidden until you open it.

Play Kode #200

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.

  • 17902▲1●1
  • 23916▲0●2
  • 31297▲0●1
  • 48024▲1●1
  • 58723▲0●0

Spoiler-free hints

  • 3 of the four digits are even.
  • The four digits add up to 19.
  • 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 (8 7 2 3) has no marks at all, so 8, 7, 2, and 3 are not in the code.
  2. Row 1 (7 9 0 2) has 2 marks still unexplained, and only 2 digits are left undecided: 9 and 0. So both are in the code.
  3. Row 3 (1 2 9 7) has one mark, already accounted for by 9. That rules out 1.
  4. Row 2 (3 9 1 6) has one mark still unexplained, and only one digit is left undecided: 6. So it is in the code.
  5. Row 4 (8 0 2 4) has one mark still unexplained, and only one digit is left undecided: 4. So it is in the code.
  6. That makes all four digits of the code: 0, 4, 6, and 9. Every other digit is out, which also rules out 5.
  7. Row 1 (7 9 0 2) has one digit in the right spot. Since row 2 rules out the 9 in position 2, it has to be the 0 in position 3.
  8. Row 4 (8 0 2 4) has one digit in the right spot. Since the 0 is already in position 3, it has to be the 4 in position 4.
  9. The 9 has only one spot left: position 1 (row 2 rules out position 2, position 3 is already 0, and position 4 is already 4).
  10. That leaves the 6 for position 2.

That cracks it: the code is 9604.