Easy · 6×6
🔦 Patrol · Easy #16
You cracked: The Case of the Swapped Umbrella
🦉 How to solve it
- The witness in the building at row 1, column 1 only looks down the street to the right and sees 3 cells there: a suspect blocks the view at the next cell.
- The witness in the building at row 2, column 1 sees no cells (0): on every street next to the building, a suspect blocks the view right at the first cell.
- The witness in the building at row 2, column 6 sees 5 cells in all. Taking away what it sees on its other streets, downward leaves 1 cell: a suspect blocks the view at the next cell.
- The witness in the building at row 3, column 2 sees 1 cell in all. Taking away what it sees on its other streets, to the right leaves 1 cell: a suspect blocks the view at the next cell.
- The witness in the building at row 6, column 1 sees 2 cells in all. Taking away what it sees on its other streets, to the right leaves 0 cells: a suspect blocks the view at the next cell.
- The witness in the building at row 4, column 2 sees 2 cells in all. Taking away what it sees on its other streets, to the right leaves 0 cells: a suspect blocks the view at the next cell.
- The witness in the building at row 4, column 4 sees 1 cell in all. Taking away what it sees on its other streets, downward leaves 0 cells: a suspect blocks the view at the next cell.
- The witness in the building at row 6, column 4 sees 2 cells in all. Taking away what it sees on its other streets, to the right leaves 1 cell: a suspect blocks the view at the next cell.
Medium · 7×7
🔦 Patrol · Medium #16
You cracked: The Case of Yesterday's Croquette
🦉 How to solve it
- The witness in the building at row 1, column 7 only looks down the street to the left and sees 3 cells there: a suspect blocks the view at the next cell.
- The witness in the building at row 2, column 7 sees 2 cells, which is every cell on its streets: none of those streets has a suspect.
- The witness in the building at row 3, column 5 sees 2 cells. Adding up the least and the most it can see on its other streets, the view to the left is boxed in. These cells are clear.
- The witness in the building at row 5, column 1 sees 3 cells. Adding up the least and the most it can see on its other streets, the view upward is boxed in. These cells are clear.
- The witness in the building at row 5, column 1 sees 3 cells in all. Taking away what it sees on its other streets, downward leaves 1 cell: a suspect blocks the view at the next cell.
- Suspect count: there are 9 in all and each stretch of street hides at most one. The numbers only add up this way. The suspect is here.
- The stretch of street on column 7 needs a suspect and only one cell is left for it. The suspect is here.
- The stretch of street on column 3 needs a suspect and only one cell is left for it. The suspect is here.
- The stretch of street on column 5 needs a suspect and only one cell is left for it. The suspect is here.
- The witness in the building at row 4, column 7 sees 2 cells in all. Taking away what it sees on its other streets, to the left leaves 1 cell: the whole street, so it is empty.
- The stretch of street on column 6 needs a suspect and only one cell is left for it. The suspect is here.
- The witness in the building at row 3, column 5 sees 2 cells in all. Taking away what it sees on its other streets, to the left leaves 2 cells: a suspect blocks the view at the next cell.
- The stretch of street on column 4 needs a suspect and only one cell is left for it. The suspect is here.
Hard · 8×8
🔦 Patrol · Hard #16
You cracked: The Case of the Ghost Intercom
🦉 How to solve it
- The witness in the building at row 6, column 6 sees 3 cells, which is every cell on its streets: none of those streets has a suspect.
- The witness in the building at row 1, column 2 sees 6 cells. Adding up the least and the most it can see on its other streets, the view to the right is boxed in. These cells are clear.
- The witness in the building at row 1, column 2 sees 6 cells. Adding up the least and the most it can see on its other streets, the view downward is boxed in. These cells are clear.
- The witness in the building at row 2, column 7 sees 1 cell. Adding up the least and the most it can see on its other streets, the view downward is boxed in. These cells are clear.
- The witness in the building at row 4, column 8 sees 1 cell. Adding up the least and the most it can see on its other streets, the view upward is boxed in. These cells are clear.
- The witness in the building at row 4, column 8 sees 1 cell. Adding up the least and the most it can see on its other streets, the view to the left is boxed in. These cells are clear.
- The witness in the building at row 6, column 2 sees 7 cells. Adding up the least and the most it can see on its other streets, the view upward is boxed in. These cells are clear.
- The witness in the building at row 1, column 2 sees 6 cells. Adding up the least and the most it can see on its other streets, the view to the right is boxed in. These cells are clear.
- The witness in the building at row 6, column 2 sees 7 cells. Adding up the least and the most it can see on its other streets, the view downward is boxed in. These cells are clear.
- The witness in the building at row 6, column 5 sees 1 cell. Adding up the least and the most it can see on its other streets, the view upward is boxed in. The suspect is here.
- The witness in the building at row 6, column 5 sees 1 cell in all. Taking away what it sees on its other streets, downward leaves 1 cell: the whole street, so it is empty.
- The witness in the building at row 8, column 5 sees 3 cells in all. Taking away what it sees on its other streets, to the right leaves 2 cells: a suspect blocks the view at the next cell.
- The witness in the building at row 8, column 4 sees 1 cell. Adding up the least and the most it can see on its other streets, the view to the left is boxed in. These cells are clear.
- If a suspect stood here, the witness in the building at row 2, column 4 could no longer see 3 cells. So this cell is clear.
- If a suspect stood here, the witness in the building at row 4, column 8 could no longer see 1 cell. So this cell is clear.
- The stretch of street on column 7 needs a suspect and only one cell is left for it. The suspect is here.
- The witness in the building at row 2, column 7 sees 1 cell. Adding up the least and the most it can see on its other streets, the view to the right is boxed in. The suspect is here.
- The witness in the building at row 2, column 7 sees 1 cell in all. Taking away what it sees on its other streets, to the left leaves 0 cells: a suspect blocks the view at the next cell.
- The witness in the building at row 4, column 8 sees 1 cell in all. Taking away what it sees on its other streets, downward leaves 0 cells: a suspect blocks the view at the next cell.
- If a suspect stood here, the witness in the building at row 8, column 4 could no longer see 1 cell. So this cell is clear.
- Trying every way for the witness in the building at row 1, column 2 to see 6 cells, without two suspects seeing each other, these cells always come out the same. The suspect is here.
- The witness in the building at row 2, column 4 sees 3 cells. Adding up the least and the most it can see on its other streets, the view to the left is boxed in. These cells are clear.
- Trying every way for the witness in the building at row 6, column 2 to see 7 cells, without two suspects seeing each other, these cells always come out the same. These cells are clear.
- Trying every way for the witness in the building at row 8, column 4 to see 1 cell, without two suspects seeing each other, these cells always come out the same. The suspect is here.
- The witness in the building at row 6, column 2 sees 7 cells in all. Taking away what it sees on its other streets, to the left leaves 1 cell: the whole street, so it is empty.
- Suspect count: there are 11 in all and each stretch of street hides at most one. The numbers only add up this way. The suspect is here.
- The witness in the building at row 2, column 4 sees 3 cells in all. Taking away what it sees on its other streets, downward leaves 3 cells: the whole street, so it is empty.
- The stretch of street on row 3 needs a suspect and only one cell is left for it. The suspect is here.