SOLO-019 · Futoshiki
EXTREMEThe Eight Passages
Complete square 8 × 8 with figures from 1 to 8.
Materials: Pencil, gum and gridded paper; no commercial game required.
Rules you need
- Each row and column contains exactly once every 1 to 8 digit. There are no 3 × 3 regions and no diagonal constraints.
- The printed values are fixed. All inequalities in the list are strict and must be respected simultaneously.
- LrCc is the line r and column c, counted from the top and left. A box marked " ·" is to be filled in.
The puzzle
All useful inequalities are given below; the neighbourhoods not mentioned do not bear any additional constraints.
L4C1 < L4C2
L5C6 < L5C7
L8C2 < L7C2
L1C5 < L1C4
L6C2 < L6C3
L1C2 < L2C2
L5C1 < L4C1
L4C5 < L3C5
L2C3 < L2C2
L4C3 < L4C2
L6C1 < L6C2
L3C6 < L3C7
L7C3 < L6C3
L6C4 < L5C4
L8C8 < L8C7
L5C2 < L4C2
L4C2 < L3C2
L1C2 < L1C3
L6C1 < L5C1
| L / C | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|---|---|---|---|---|---|---|---|
| 1 | · | 5 | · | · | 2 | 7 | · | · |
| 2 | · | · | 2 | 3 | · | · | · | · |
| 3 | 6 | · | · | · | · | · | · | · |
| 4 | · | · | · | · | · | · | · | · |
| 5 | · | · | 4 | · | · | · | 8 | · |
| 6 | · | · | · | · | · | 8 | · | 1 |
| 7 | · | · | · | 5 | 8 | 2 | · | · |
| 8 | · | · | · | 6 | 3 | · | · | · |
Your workspace
Write down your assumptions separately from deductions you have proved.