All Clues
Hard

Only One Group Has Exactly N

Among all groups of the same kind — all rows, or all columns — exactly one of them has a count of exactly N Suspects (or Innocents). Every other group must have a count different from N (either higher or lower). This is a global uniqueness constraint. It is violated as soon as two groups simultaneously reach N; therefore any deduction that would create a second group with count N must be rejected. Work by first identifying which group is the unique N-holder, then force all others away from N.

Reading the examples

Anchor — the card carrying this clue type
Deducible — click to reveal (use the clue to figure it out!)
SSuspectIInnocent

“Only one row has exactly N suspects”

The clue says only one row has exactly 3 suspects. Given the revealed cells, the uniqueness constraint forces Diana (Suspect), Eve (Suspect), Frank (Suspect).

A1
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Alice
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Alice
B1
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Bob
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Bob
Only one row has exactly 3 suspects.
C1
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Carol
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Carol
A2
?
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Diana
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Diana
B2
?
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Eve
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Eve
C2
?
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Frank
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Frank
A3
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Grace
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Grace
B3
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Henry
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Henry
C3
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Iris
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Iris
All cells deduced correctly!

“Only one column has exactly N suspects”

The clue says only one column has exactly 3 suspects. Given the revealed cells, the uniqueness constraint forces Bob (Suspect), Eve (Suspect), Henry (Suspect).

A1
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Alice
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Alice
B1
?
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Bob
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Bob
C1
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Carol
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Carol
A2
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Diana
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Diana
Only one column has exactly 3 suspects.
B2
?
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Eve
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Eve
C2
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Frank
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Frank
A3
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Grace
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Grace
B3
?
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Henry
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Henry
C3
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Iris
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Iris
All cells deduced correctly!

“Only one neighborhood has exactly N suspects”

The clue says only one neighborhood has exactly 2 suspects. Given the revealed cells, the uniqueness constraint forces Diana (Innocent), Frank (Innocent), Henry (Suspect).

A1
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Alice
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Alice
B1
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Bob
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Bob
C1
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Carol
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Carol
A2
?
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Diana
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Diana
B2
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Eve
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Eve
Only one neighborhood has exactly 2 suspects.
C2
?
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Frank
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Frank
A3
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Grace
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Grace
B3
?
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Henry
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Henry
C3
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Iris
AvataaarsPablo Stanleyhttps://avataaars.com/https://avataaars.com/Remix of „Avataaars” (https://avataaars.com/) by „Pablo Stanley”, licensed under „Free for personal and commercial use” (https://avataaars.com/)
Iris
All cells deduced correctly!
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