Every Group Has at Least N
Every group of the stated kind — every row, every column, or every cell's neighborhood — contains at least N Suspects (or Innocents). The constraint is applied independently to each group simultaneously; if any single group falls below N, the clue is violated. This sweeping lower bound becomes powerful when combined with a global total count: if you know every row has at least N Suspects and there are R rows, the total must be at least R × N. From there, an exact total count or per-group upper bounds can often force the entire distribution. Most difficult when N is high relative to group size, since it leaves little room for Innocents.
Reading the examples
“Every row has at least N suspects”
The clue says every row has at least 2 suspects. Given the revealed cells, any row that doesn't yet have enough must fill its remaining cells, forcing Alice (Suspect), Carol (Suspect).
“Every column has at least N suspects”
The clue says every column has at least 2 suspects. Given the revealed cells, any column that doesn't yet have enough must fill its remaining cells, forcing Alice (Suspect), Grace (Suspect).