All Clues
Medium

More in One Group Than Another

The first named group contains strictly more Suspects (or Innocents) than the second named group — ties are not allowed. This creates an ordering between the two counts. To use it: enumerate the possible count pairs (a, b) for the two groups given whatever other constraints you know, then discard any pair where a ≤ b. Useful when combined with a total-grid count, because the two counts must sum to a fixed value while still satisfying the strict inequality.

Reading the examples

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

“Row 1 has more suspects than row 2”

The clue says row 1 has more suspects than row 2. Given the revealed cells, the only way to satisfy this inequality forces Diana (Innocent), Eve (Innocent), Frank (Innocent).

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
Row 1 has more suspects than row 2.
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!

“Column A has more suspects than column B”

The clue says column A has more suspects than column B. Given the revealed cells, the only way to satisfy this inequality forces Bob (Innocent), Eve (Innocent), Henry (Innocent).

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
Column a has more suspects than column B.
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!

“Y's neighbors have more suspects than Z's neighbors”

The clue says Eve's neighbors has more suspects than Alice's neighbors. Given the revealed cells, the only way to satisfy this inequality forces Alice (Suspect), Carol (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
My neighbors has more suspects than Alice's neighbors.
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!
← PreviousOdd Count in GroupNext →Character Is One of N in Group