Odd Count in Group
The number of Suspects (or Innocents) in the named group is odd — meaning 1, 3, 5, and so on. All even values (0, 2, 4…) are ruled out. In a 3-cell group such as a row, that means the count is either 1 or 3. In a larger group like the edge ring (8 cells in a 3×3), valid counts are 1, 3, 5, or 7. Combine with count bounds from other clues to narrow the odd value down to a single possibility. A common trap: players forget that 0 is even and therefore excluded.
Reading the examples
“There is an odd number of suspects in row 1”
The clue says there is an odd number of suspects in row 1. Among revealed cells in row 1, 1 suspect confirmed. For the total to remain odd, Carol (Innocent).
“There is an odd number of suspects in column A”
The clue says there is an odd number of suspects in column A. Among revealed cells in column A, 1 suspect confirmed. For the total to remain odd, Grace (Innocent).
“There is an odd number of suspects in the edge”
The clue says there is an odd number of suspects in the edge. Among revealed cells in the edge, 1 suspect confirmed. For the total to remain odd, Iris (Innocent).
“There is an odd number of suspects in the corners”
The clue says there is an odd number of suspects in the corners. Among revealed cells in the corners, 1 suspect confirmed. For the total to remain odd, Iris (Innocent).
“There is an odd number of suspects in Y's neighbors”
The clue says there is an odd number of suspects in Eve's neighbors. Among revealed cells in Eve's neighbors, 1 suspect confirmed. For the total to remain odd, Iris (Innocent).
“There is an odd number of suspects in between Y and Z”
The clue says there is an odd number of suspects in between Alice and Carol. Among revealed cells in between Alice and Carol, no suspects confirmed. For the total to remain odd, Bob (Suspect).
“There is an odd number of suspects to the left of Y”
The clue says there is an odd number of suspects in to the left of Frank. Among revealed cells in to the left of Frank, 1 suspect confirmed. For the total to remain odd, Eve (Innocent).