Volume 2 hints
Tap your puzzle number for a hint.
Beginner
1–20
01
Hardest technique: Naked Singles
Full solving path
01Naked Singles
G6→2
F8→5
H9→5
02Naked Singles
E6→9
F7→2
H7→6
C8→8
H8→1
G9→7
03Naked Singles
E4→6
A6→8
I6→1
E7→3
I7→8
04Naked Singles
E5→2
D7→7
05Naked Singles
E3→5
D5→4
A7→4
B7→5
D8→9
06Naked Singles
D2→2
F5→8
B8→7
07Naked Singles
D3→3
08Naked Singles
A3→2
09Naked Singles
H3→4
10Naked Singles
H1→2
H2→9
F3→6
11Naked Singles
F2→4
B3→8
I3→7
H5→3
12Naked Singles
B2→6
C5→5
13Naked Singles
B1→3
G2→8
C4→3
G5→6
14Naked Singles
C1→4
G1→5
A4→9
I5→9
B9→9
C9→2
15Naked Singles
I1→6
I4→5
A5→7
B5→1
A9→3
Solution
1
3
4
8
7
9
5
2
6
5
6
7
2
1
4
8
9
3
2
8
9
3
5
6
1
4
7
9
2
3
1
6
7
4
8
5
7
1
5
4
2
8
6
3
9
8
4
6
5
9
3
2
7
1
4
5
1
7
3
2
9
6
8
6
7
8
9
4
5
3
1
2
3
9
2
6
8
1
7
5
4
02
Hardest technique: Naked Singles
Full solving path
01Naked Singles
F2→1
A3→7
E4→2
H4→9
B6→9
E6→6
02Naked Singles
A1→3
D1→7
G2→7
G3→1
H3→2
A5→2
D5→9
F5→4
I5→8
03Naked Singles
E1→8
G1→4
B2→5
D2→2
E2→3
B3→8
G5→3
I7→1
A8→6
04Naked Singles
B1→1
H1→5
I2→9
C3→9
F3→6
B5→7
H5→6
D7→6
G7→8
D8→1
E8→7
I9→5
05Naked Singles
C5→5
B7→3
C7→7
C8→8
H8→3
B9→2
E9→4
F9→8
06Naked Singles
H7→4
F8→5
C9→1
H9→7
Solution
3
1
2
7
8
9
4
5
6
4
5
6
2
3
1
7
8
9
7
8
9
4
5
6
1
2
3
1
6
4
8
2
3
5
9
7
2
7
5
9
1
4
3
6
8
8
9
3
5
6
7
2
1
4
5
3
7
6
9
2
8
4
1
6
4
8
1
7
5
9
3
2
9
2
1
3
4
8
6
7
5
03
Hardest technique: Naked Singles
Full solving path
01Naked Singles
F6→7
02Naked Singles
F4→2
B6→9
03Naked Singles
C4→7
B5→4
D6→1
B8→3
04Naked Singles
B2→2
D4→9
A5→1
G6→8
B9→7
05Naked Singles
H4→1
G7→9
D9→8
06Naked Singles
G1→3
H2→7
D7→5
H8→8
I8→1
A9→9
I9→2
07Naked Singles
H1→9
G2→1
D5→6
I5→9
A7→8
E7→2
E8→9
F8→4
G8→6
C9→6
E9→3
08Naked Singles
D2→4
F3→5
E5→5
H5→2
C8→5
09Naked Singles
E1→7
F1→8
A2→5
C2→3
E2→6
C3→9
E3→1
I3→4
F5→3
10Naked Singles
A1→4
I1→5
Solution
4
6
1
2
7
8
3
9
5
5
2
3
4
6
9
1
7
8
7
8
9
3
1
5
2
6
4
6
5
7
9
8
2
4
1
3
1
4
8
6
5
3
7
2
9
3
9
2
1
4
7
8
5
6
8
1
4
5
2
6
9
3
7
2
3
5
7
9
4
6
8
1
9
7
6
8
3
1
5
4
2
04
Hardest technique: Naked Singles
Full solving path
01Naked Singles
G1→2
D5→5
F5→4
B7→4
I9→5
02Naked Singles
A1→9
F4→3
E5→6
I7→8
03Naked Singles
C2→2
C5→8
D6→1
I8→4
F9→7
04Naked Singles
A2→5
F2→9
I3→9
B4→5
C4→6
G5→7
I6→6
G8→1
H9→3
05Naked Singles
G2→4
A3→6
F3→8
A4→4
I4→2
H7→7
C8→3
C9→1
E9→2
06Naked Singles
D1→3
E2→7
B3→1
H3→5
G4→8
A6→3
C6→9
G6→5
A7→2
E7→3
D8→8
E8→5
07Naked Singles
B1→8
E1→1
E3→4
H6→4
D7→9
Solution
9
8
4
3
1
5
2
6
7
5
3
2
6
7
9
4
8
1
6
1
7
2
4
8
3
5
9
4
5
6
7
9
3
8
1
2
1
2
8
5
6
4
7
9
3
3
7
9
1
8
2
5
4
6
2
4
5
9
3
1
6
7
8
7
9
3
8
5
6
1
2
4
8
6
1
4
2
7
9
3
5
05
Hardest technique: Naked Singles
Full solving path
01Naked Singles
A2→4
H5→2
D9→1
02Naked Singles
I4→5
A6→9
F9→2
03Naked Singles
A3→8
I3→6
H4→7
B5→6
A7→7
I8→2
B9→3
04Naked Singles
B2→5
H3→5
C4→2
G4→9
D5→9
G6→3
E7→4
I7→3
G8→5
G9→6
05Naked Singles
H1→8
C2→6
B3→9
G3→7
F5→3
B6→4
C6→5
C7→9
D7→5
H7→1
E8→7
H8→4
06Naked Singles
C1→3
D1→6
F1→5
D2→7
E2→1
G2→2
E3→3
F3→4
E6→2
F6→7
B7→2
C8→8
F8→9
07Naked Singles
D4→4
E4→6
F4→1
D6→8
Solution
2
7
3
6
9
5
1
8
4
4
5
6
7
1
8
2
3
9
8
9
1
2
3
4
7
5
6
3
8
2
4
6
1
9
7
5
1
6
7
9
5
3
4
2
8
9
4
5
8
2
7
3
6
1
7
2
9
5
4
6
8
1
3
6
1
8
3
7
9
5
4
2
5
3
4
1
8
2
6
9
7
06
Hardest technique: Naked Singles
Full solving path
01Naked Singles
C2→3
B4→5
G4→4
G5→6
02Naked Singles
A2→5
A3→6
I4→1
B5→8
H6→5
I6→8
G8→9
03Naked Singles
B1→7
G1→3
E4→2
C5→2
H5→7
A6→9
C6→6
04Naked Singles
D1→2
A4→3
F5→9
E6→4
C9→8
05Naked Singles
H1→1
I1→9
D3→4
06Naked Singles
E1→6
D2→7
I2→4
H3→2
D7→5
07Naked Singles
E2→9
D5→1
E7→8
I8→2
H9→4
08Naked Singles
E3→3
E5→5
I7→6
A8→1
F8→4
B9→6
09Naked Singles
F3→8
B7→4
F7→2
E8→7
A9→2
E9→1
10Naked Singles
F9→3
Solution
8
7
4
2
6
5
3
1
9
5
2
3
7
9
1
8
6
4
6
9
1
4
3
8
5
2
7
3
5
7
8
2
6
4
9
1
4
8
2
1
5
9
6
7
3
9
1
6
3
4
7
2
5
8
7
4
9
5
8
2
1
3
6
1
3
5
6
7
4
9
8
2
2
6
8
9
1
3
7
4
5
07
Hardest technique: Naked Singles
Full solving path
01Naked Singles
F2→6
D4→3
A8→9
02Naked Singles
B2→3
F3→8
B4→8
C8→6
03Naked Singles
E2→1
A3→5
B3→6
C4→4
B5→2
F6→2
D8→2
C9→3
04Naked Singles
B1→7
C1→1
E1→2
I2→9
E3→3
F4→5
A5→3
F5→4
D6→1
C7→8
H8→4
A9→7
05Naked Singles
A1→4
I1→6
G2→4
C3→9
G3→1
D5→9
H6→8
E8→5
06Naked Singles
G1→8
E5→8
I5→1
G6→3
D7→6
E9→9
I9→5
07Naked Singles
H5→6
E7→4
G7→9
H7→1
I7→3
G9→6
08Naked Singles
H9→2
Solution
4
7
1
5
2
9
8
3
6
8
3
2
7
1
6
4
5
9
5
6
9
4
3
8
1
7
2
1
8
4
3
6
5
2
9
7
3
2
7
9
8
4
5
6
1
6
9
5
1
7
2
3
8
4
2
5
8
6
4
7
9
1
3
9
1
6
2
5
3
7
4
8
7
4
3
8
9
1
6
2
5
08
Hardest technique: Naked Singles
Full solving path
01Naked Singles
I1→9
B7→4
F9→1
02Naked Singles
I3→7
B4→7
B6→3
A7→6
03Naked Singles
B3→2
H3→6
H4→9
A5→4
C7→1
A9→9
I9→4
04Naked Singles
A1→5
A2→3
G3→5
H6→2
G8→9
I8→2
E9→7
05Naked Singles
C1→4
F2→9
C3→9
I5→8
H7→7
D8→4
G9→6
06Naked Singles
C2→7
E2→8
E3→3
D4→6
C5→6
G5→7
F6→5
G6→4
G7→8
E8→5
07Naked Singles
D1→2
D3→1
C4→5
E4→4
G4→1
C6→8
E6→9
E7→2
08Naked Singles
E1→6
D5→3
F7→3
09Naked Singles
F5→2
Solution
5
1
4
2
6
7
3
8
9
3
6
7
5
8
9
2
4
1
8
2
9
1
3
4
5
6
7
2
7
5
6
4
8
1
9
3
4
9
6
3
1
2
7
5
8
1
3
8
7
9
5
4
2
6
6
4
1
9
2
3
8
7
5
7
8
3
4
5
6
9
1
2
9
5
2
8
7
1
6
3
4
09
Hardest technique: Naked Singles
Full solving path
01Naked Singles
G1→8
E2→8
D4→8
H4→9
A5→8
A6→9
C8→8
02Naked Singles
G2→5
A3→7
C3→9
H6→6
G7→4
E8→7
03Naked Singles
B1→3
E1→6
H1→1
F2→9
B3→8
G3→2
H5→5
B6→2
A7→3
C7→2
I7→1
D8→9
E9→2
04Naked Singles
F1→7
D3→1
I3→6
B4→4
G5→3
F6→3
D7→6
F7→8
C9→4
05Naked Singles
D1→4
F3→5
I4→2
B5→6
C5→1
D5→7
F5→2
H7→7
B9→7
D9→3
F9→1
06Naked Singles
I5→4
H9→8
Solution
2
3
5
4
6
7
8
1
9
4
1
6
2
8
9
5
3
7
7
8
9
1
3
5
2
4
6
5
4
3
8
1
6
7
9
2
8
6
1
7
9
2
3
5
4
9
2
7
5
4
3
1
6
8
3
9
2
6
5
8
4
7
1
1
5
8
9
7
4
6
2
3
6
7
4
3
2
1
9
8
5
10
Hardest technique: Naked Singles
Full solving path
01Naked Singles
G1→7
A3→5
C3→8
02Naked Singles
H1→1
B3→7
03Naked Singles
A1→9
H2→2
F3→3
04Naked Singles
D1→4
G2→3
E3→2
05Naked Singles
E1→5
E2→8
D5→6
G7→6
06Naked Singles
D6→2
G6→5
E7→3
07Naked Singles
H4→7
H5→9
I7→7
G8→2
E9→6
08Naked Singles
H7→8
C8→6
E8→4
B9→3
C9→2
09Naked Singles
C4→4
D7→9
B8→9
H8→5
I9→1
10Naked Singles
C2→1
D2→7
F4→5
I4→6
B5→5
B6→6
D8→8
F8→1
I8→3
F9→7
11Naked Singles
A2→6
B2→4
F2→9
A4→2
F5→4
A6→1
I6→4
Solution
9
2
3
4
5
6
7
1
8
6
4
1
7
8
9
3
2
5
5
7
8
1
2
3
4
6
9
2
8
4
3
9
5
1
7
6
3
5
7
6
1
4
8
9
2
1
6
9
2
7
8
5
3
4
4
1
5
9
3
2
6
8
7
7
9
6
8
4
1
2
5
3
8
3
2
5
6
7
9
4
1
11
Hardest technique: Naked Singles
Full solving path
01Naked Singles
E2→9
F3→5
H3→4
D7→9
02Naked Singles
G1→6
H1→9
F2→8
A3→7
I7→4
03Naked Singles
C2→6
G2→7
C3→2
B7→6
G7→3
G8→5
I9→9
04Naked Singles
G4→4
D8→1
C9→4
G9→2
H9→1
05Naked Singles
C1→3
D1→2
C6→7
C8→9
E8→4
B9→8
F9→6
06Naked Singles
B1→4
E1→1
F4→1
D5→5
F5→4
E9→5
07Naked Singles
A1→8
D4→3
A5→6
B6→5
E6→6
F6→9
08Naked Singles
B4→2
H4→5
I5→7
A6→4
D6→8
H6→3
09Naked Singles
E4→7
I4→6
E5→2
Solution
8
4
3
2
1
7
6
9
5
5
1
6
4
9
8
7
2
3
7
9
2
6
3
5
8
4
1
9
2
8
3
7
1
4
5
6
6
3
1
5
2
4
9
8
7
4
5
7
8
6
9
1
3
2
1
6
5
9
8
2
3
7
4
2
7
9
1
4
3
5
6
8
3
8
4
7
5
6
2
1
9
12
Hardest technique: Naked Singles
Full solving path
01Naked Singles
A3→6
B4→4
C4→8
C5→3
H6→6
A8→1
02Naked Singles
A1→8
C1→5
H2→2
F4→2
G6→4
A7→4
F8→8
03Naked Singles
H1→3
G5→9
D6→8
F7→1
C8→7
04Naked Singles
C3→9
I3→5
E5→1
G7→6
B8→5
H8→9
F9→4
H9→1
05Naked Singles
E2→7
G2→8
D3→2
F5→5
D7→9
H7→7
I7→3
E8→6
B9→3
06Naked Singles
D1→1
B2→1
I2→6
B3→7
F3→3
D4→6
E4→9
D5→4
E6→3
G9→5
I9→8
07Naked Singles
B1→2
D2→5
F6→7
Solution
8
2
5
1
4
6
7
3
9
3
1
4
5
7
9
8
2
6
6
7
9
2
8
3
1
4
5
7
4
8
6
9
2
3
5
1
2
6
3
4
1
5
9
8
7
5
9
1
8
3
7
4
6
2
4
8
2
9
5
1
6
7
3
1
5
7
3
6
8
2
9
4
9
3
6
7
2
4
5
1
8
13
Hardest technique: Naked Singles
Full solving path
01Naked Singles
F1→3
I1→9
F3→6
B4→4
D9→6
02Naked Singles
B1→5
E3→5
F4→1
F5→8
B6→9
D7→3
H9→4
03Naked Singles
G1→4
B2→2
E2→8
C3→9
G3→2
H4→5
D5→2
E5→3
C6→3
D6→5
E7→9
I7→6
A9→9
04Naked Singles
C2→4
G2→5
I2→1
A3→1
E4→6
G4→3
E6→4
H6→1
A7→2
G7→8
B8→7
E8→1
H8→2
I8→3
C9→8
05Naked Singles
A2→3
H2→6
I3→7
C7→5
A8→4
C8→6
G8→9
Solution
6
5
7
1
2
3
4
8
9
3
2
4
7
8
9
5
6
1
1
8
9
4
5
6
2
3
7
7
4
2
9
6
1
3
5
8
5
6
1
2
3
8
7
9
4
8
9
3
5
4
7
6
1
2
2
1
5
3
9
4
8
7
6
4
7
6
8
1
5
9
2
3
9
3
8
6
7
2
1
4
5
14
Hardest technique: Naked Singles
Full solving path
01Naked Singles
B4→3
I5→8
E6→5
02Naked Singles
E4→8
I4→7
A5→5
E5→3
A6→9
H6→4
03Naked Singles
I2→9
E3→6
F4→9
H4→5
G5→6
D6→2
E7→7
I9→3
04Naked Singles
C5→2
D5→4
B6→6
C7→3
I8→2
D9→8
05Naked Singles
C1→4
F5→1
D7→9
F7→2
A8→8
F9→6
06Naked Singles
A1→1
F1→8
A2→3
C2→6
B7→1
B8→4
C8→7
D8→3
07Naked Singles
B1→2
F2→4
D3→5
F3→3
H7→8
G8→9
C9→5
08Naked Singles
D1→7
H2→7
B3→8
09Naked Singles
G1→5
G2→8
G3→1
H9→1
10Naked Singles
H3→2
G9→7
Solution
1
2
4
7
9
8
5
3
6
3
5
6
1
2
4
8
7
9
7
8
9
5
6
3
1
2
4
4
3
1
6
8
9
2
5
7
5
7
2
4
3
1
6
9
8
9
6
8
2
5
7
3
4
1
6
1
3
9
7
2
4
8
5
8
4
7
3
1
5
9
6
2
2
9
5
8
4
6
7
1
3
15
Hardest technique: Naked Singles
Full solving path
01Naked Singles
A2→4
02Naked Singles
C2→1
A7→6
03Naked Singles
C1→6
B2→5
E2→8
C3→9
B7→1
A8→7
04Naked Singles
B3→3
A4→3
C5→7
E5→9
G7→9
B9→2
05Naked Singles
C4→2
C9→4
06Naked Singles
E9→1
07Naked Singles
E1→4
D9→8
G9→7
08Naked Singles
F1→1
D5→6
G6→6
D7→4
E8→3
09Naked Singles
H1→5
F3→7
D4→7
F5→8
G5→5
B6→9
H7→8
F8→6
10Naked Singles
G1→2
D2→2
H3→1
I3→8
B4→6
F4→4
D6→1
11Naked Singles
I2→7
H4→9
F6→3
G8→1
H8→4
12Naked Singles
H6→7
I6→4
I8→2
Solution
8
7
6
3
4
1
2
5
9
4
5
1
2
8
9
3
6
7
2
3
9
5
6
7
4
1
8
3
6
2
7
5
4
8
9
1
1
4
7
6
9
8
5
2
3
5
9
8
1
2
3
6
7
4
6
1
3
4
7
2
9
8
5
7
8
5
9
3
6
1
4
2
9
2
4
8
1
5
7
3
6
16
Hardest technique: Naked Singles
Full solving path
01Naked Singles
E2→8
I2→4
C3→9
D3→3
F7→7
G7→9
02Naked Singles
A1→1
C1→4
D1→6
I1→9
I5→3
E7→4
E8→9
G9→2
I9→1
03Naked Singles
E1→5
G3→5
D6→8
B7→1
C7→5
A8→8
B9→4
E9→6
04Naked Singles
H1→8
E3→1
H3→2
D4→4
E4→7
A5→5
C6→2
A9→9
C9→3
F9→8
05Naked Singles
G1→7
B4→6
G4→8
C5→8
D5→9
E5→2
H5→6
E6→3
06Naked Singles
F4→5
B5→7
F5→1
G5→4
H6→5
07Naked Singles
F6→6
Solution
1
3
4
6
5
2
7
8
9
2
5
6
7
8
9
3
1
4
7
8
9
3
1
4
5
2
6
3
6
1
4
7
5
8
9
2
5
7
8
9
2
1
4
6
3
4
9
2
8
3
6
1
5
7
6
1
5
2
4
7
9
3
8
8
2
7
1
9
3
6
4
5
9
4
3
5
6
8
2
7
1
17
Hardest technique: Hidden Singles
Full solving path
01Naked Singles
A2→1
C2→4
D7→1
G7→9
D9→4
02Naked Singles
B2→3
A3→5
03Naked Singles
D2→8
04Naked Singles
H2→2
D4→6
05Naked Singles
D1→3
06Hidden Singles
A4→2
I7→2
H3→3
F6→3
G9→3
E1→4
B8→5
E9→5
G5→6
B7→6
07Naked Singles
G3→1
B4→1
C7→7
A9→8
08Naked Singles
F3→6
E4→8
B5→7
C5→8
B9→9
09Naked Singles
F1→1
C3→9
G4→5
E5→1
C6→5
C9→2
F9→7
10Naked Singles
C1→6
G1→8
H5→4
E6→7
I6→8
F8→9
11Naked Singles
H1→9
I1→5
H6→1
G8→4
H8→8
I8→7
Solution
7
2
6
3
4
1
8
9
5
1
3
4
8
9
5
7
2
6
5
8
9
7
2
6
1
3
4
2
1
3
6
8
4
5
7
9
9
7
8
5
1
2
6
4
3
6
4
5
9
7
3
2
1
8
4
6
7
1
3
8
9
5
2
3
5
1
2
6
9
4
8
7
8
9
2
4
5
7
3
6
1
18
Hardest technique: Hidden Singles
Full solving path
01Naked Singles
D1→6
A3→3
A5→7
D8→2
F9→8
02Naked Singles
F2→3
D3→5
C5→5
E5→3
I5→8
F7→1
A8→1
E9→6
03Naked Singles
E1→8
G5→2
04Hidden Singles
H3→1
B4→2
H9→2
G1→3
H6→3
B7→3
B1→4
I7→4
H2→5
B8→5
I3→6
G4→6
C6→6
A7→6
05Naked Singles
H1→7
A4→4
B6→9
B9→7
06Naked Singles
I2→9
B3→8
E4→7
H4→9
I6→7
C8→8
C9→4
07Naked Singles
C2→7
G2→8
C3→9
E6→4
H7→8
G8→7
08Naked Singles
G7→9
Solution
5
4
1
6
8
9
3
7
2
2
6
7
4
1
3
8
5
9
3
8
9
5
2
7
4
1
6
4
2
3
8
7
5
6
9
1
7
1
5
9
3
6
2
4
8
8
9
6
1
4
2
5
3
7
6
3
2
7
5
1
9
8
4
1
5
8
2
9
4
7
6
3
9
7
4
3
6
8
1
2
5
19
Hardest technique: Naked Singles
Full solving path
01Naked Singles
H2→4
G4→9
G5→5
C8→6
02Naked Singles
G2→2
G3→3
I4→1
C7→1
03Naked Singles
H1→1
I1→9
D2→6
C3→9
D3→4
H4→7
C5→2
H5→8
C6→7
G7→6
A9→8
04Naked Singles
B2→7
B5→1
I6→3
D7→3
B8→3
H9→3
05Naked Singles
B1→6
D1→2
E2→9
E5→4
A6→6
I7→8
H8→5
B9→9
I9→4
06Naked Singles
A1→5
A4→4
E4→6
B6→8
E6→1
E8→8
D9→1
F9→6
07Naked Singles
F1→7
A3→1
E3→5
F8→4
E9→2
08Naked Singles
E1→3
F3→8
E7→7
F7→5
Solution
5
6
4
2
3
7
8
1
9
3
7
8
6
9
1
2
4
5
1
2
9
4
5
8
3
6
7
4
5
3
8
6
2
9
7
1
9
1
2
7
4
3
5
8
6
6
8
7
5
1
9
4
2
3
2
4
1
3
7
5
6
9
8
7
3
6
9
8
4
1
5
2
8
9
5
1
2
6
7
3
4
20
Hardest technique: Naked Singles
Full solving path
01Naked Singles
G2→1
F4→5
H4→8
H5→2
G6→5
02Naked Singles
H3→6
C4→4
D4→3
D5→9
I5→4
B6→9
G8→4
03Naked Singles
G3→3
F5→1
C8→5
G9→6
H9→9
04Naked Singles
C7→6
A8→1
H8→7
E9→1
I9→5
05Naked Singles
C1→8
B7→4
I7→3
D8→8
E8→9
D9→4
06Naked Singles
I1→9
C2→2
E2→7
D3→2
F7→7
A9→2
07Naked Singles
E1→3
F1→4
B2→5
I2→8
A3→4
D6→7
F6→2
D7→5
08Naked Singles
A1→6
F2→9
F3→8
B5→6
09Naked Singles
B1→7
A5→5
Solution
6
7
8
1
3
4
2
5
9
3
5
2
6
7
9
1
4
8
4
1
9
2
5
8
3
6
7
7
2
4
3
6
5
9
8
1
5
6
3
9
8
1
7
2
4
8
9
1
7
4
2
5
3
6
9
4
6
5
2
7
8
1
3
1
3
5
8
9
6
4
7
2
2
8
7
4
1
3
6
9
5
Intermediate
21–40
21
Hardest technique: Hidden Singles
Full solving path
01Naked Singles
D2→2
E8→5
F8→1
02Naked Singles
E2→3
03Naked Singles
E6→8
04Hidden Singles
A7→2
F9→2
B5→4
H8→4
I2→5
D6→5
C7→5
I9→6
A1→7
05Naked Singles
H1→8
F5→7
F7→8
06Naked Singles
D1→4
07Naked Singles
D3→8
08Hidden Singles
C9→7
B9→8
H5→9
G7→9
09Naked Singles
D5→1
B7→1
H9→1
10Naked Singles
B2→6
H2→7
H3→2
D4→9
G5→8
I7→7
11Naked Singles
B1→3
G2→1
C5→6
12Naked Singles
G1→6
I3→4
G4→4
E5→2
B8→9
13Naked Singles
G3→3
E4→6
F4→3
G6→7
I6→1
C8→3
14Naked Singles
A4→1
I4→2
C6→9
F6→4
A8→6
15Naked Singles
A3→9
C3→1
C4→8
A6→3
Solution
7
3
2
4
1
5
6
8
9
8
6
4
2
3
9
1
7
5
9
5
1
8
7
6
3
2
4
1
7
8
9
6
3
4
5
2
5
4
6
1
2
7
8
9
3
3
2
9
5
8
4
7
6
1
2
1
5
6
4
8
9
3
7
6
9
3
7
5
1
2
4
8
4
8
7
3
9
2
5
1
6
22
Hardest technique: Hidden Singles
Full solving path
01Hidden Singles
B7→1
F8→1
D4→2
G2→4
C5→4
D9→4
F6→8
A1→9
H4→9
02Naked Singles
A4→6
03Naked Singles
C4→3
A5→1
04Naked Singles
F4→7
B6→9
05Naked Singles
D6→6
06Hidden Singles
I2→1
G6→1
G5→6
C8→6
C3→8
A9→8
D5→9
C7→9
07Naked Singles
I6→3
08Naked Singles
I5→7
09Hidden Singles
C2→2
H2→3
G8→3
B9→3
I1→8
H7→8
10Naked Singles
B3→7
C9→5
11Naked Singles
A2→5
H3→6
A8→7
B8→2
F9→6
I9→2
12Naked Singles
H1→7
D2→7
I8→5
E9→7
13Naked Singles
D1→5
E7→5
G7→7
14Naked Singles
F1→3
G1→2
E3→2
E5→3
15Naked Singles
E1→6
G3→5
F5→5
Solution
9
4
1
5
6
3
2
7
8
5
6
2
7
8
9
4
3
1
3
7
8
1
2
4
5
6
9
6
5
3
2
1
7
8
9
4
1
8
4
9
3
5
6
2
7
2
9
7
6
4
8
1
5
3
4
1
9
3
5
2
7
8
6
7
2
6
8
9
1
3
4
5
8
3
5
4
7
6
9
1
2
23
Hardest technique: Hidden Singles
Full solving path
01Hidden Singles
B2→1
E3→1
H8→1
I2→2
D3→2
B6→2
E1→3
G7→3
D8→4
C7→7
G3→8
02Naked Singles
G8→6
03Naked Singles
I8→9
04Naked Singles
I7→4
A8→5
05Naked Singles
A3→6
B7→6
B8→8
06Naked Singles
C3→5
E7→9
F7→5
E8→7
B9→4
07Naked Singles
C2→4
H3→7
B5→3
F8→2
C9→9
08Naked Singles
A2→3
B4→5
A6→9
C6→6
09Naked Singles
G4→4
I6→8
10Naked Singles
G1→5
A4→7
F6→3
11Naked Singles
D1→6
H2→6
I4→6
A5→4
H6→5
12Naked Singles
H1→4
E2→8
D4→9
H5→9
I5→7
13Naked Singles
D2→5
F2→7
H4→3
D5→8
E9→6
14Naked Singles
F5→6
F9→8
Solution
8
7
2
6
3
9
5
4
1
3
1
4
5
8
7
9
6
2
6
9
5
2
1
4
8
7
3
7
5
8
9
2
1
4
3
6
4
3
1
8
5
6
2
9
7
9
2
6
7
4
3
1
5
8
2
6
7
1
9
5
3
8
4
5
8
3
4
7
2
6
1
9
1
4
9
3
6
8
7
2
5
24
Hardest technique: Hidden Singles
Full solving path
01Naked Singles
C5→3
F6→3
02Naked Singles
F1→8
D4→9
G5→4
C6→8
03Naked Singles
F3→1
E4→4
B6→4
I6→7
04Naked Singles
A4→5
E6→6
G6→2
F8→5
05Naked Singles
C4→1
06Hidden Singles
G2→1
D7→1
B8→1
B2→5
C7→5
C1→6
B9→6
07Hidden Singles
H9→5
H2→6
G7→7
B3→8
08Hidden Singles
H1→7
E2→7
I2→8
B7→9
09Naked Singles
B1→3
C8→2
10Naked Singles
E1→2
I1→9
A2→2
C3→9
11Naked Singles
D2→3
G3→3
12Naked Singles
I3→4
G4→8
D9→2
13Naked Singles
H3→2
H4→3
I8→3
G9→9
14Naked Singles
H7→4
E8→9
E9→3
15Naked Singles
A7→3
H8→8
A9→8
16Naked Singles
A8→4
Solution
1
3
6
4
2
8
5
7
9
2
5
4
3
7
9
1
6
8
7
8
9
6
5
1
3
2
4
5
7
1
9
4
2
8
3
6
6
2
3
8
1
7
4
9
5
9
4
8
5
6
3
2
1
7
3
9
5
1
8
6
7
4
2
4
1
2
7
9
5
6
8
3
8
6
7
2
3
4
9
5
1
25
Hardest technique: Hidden Singles
Full solving path
01Naked Singles
B1→8
G2→6
H9→1
02Naked Singles
C2→5
G3→1
03Naked Singles
I3→5
G4→2
04Naked Singles
I1→7
H3→8
G8→3
05Naked Singles
I2→9
06Naked Singles
I7→2
07Naked Singles
I8→4
08Naked Singles
H8→9
09Hidden Singles
D7→1
C8→1
A3→6
E2→7
C6→7
A9→7
A4→8
10Naked Singles
F3→3
C7→8
A8→2
11Naked Singles
E3→4
F9→2
12Naked Singles
D2→8
E9→3
13Naked Singles
D5→4
E7→5
14Naked Singles
E1→6
B5→2
H5→7
15Naked Singles
D1→5
E4→9
F5→8
E8→8
16Naked Singles
D4→6
E6→2
F8→6
17Naked Singles
I4→1
D6→3
F6→5
18Naked Singles
B4→4
F4→7
H6→4
I6→6
19Naked Singles
B2→3
H4→5
A6→9
20Naked Singles
A2→4
B6→1
A7→3
B7→9
Solution
1
8
2
5
6
9
4
3
7
4
3
5
8
7
1
6
2
9
6
7
9
2
4
3
1
8
5
8
4
3
6
9
7
2
5
1
5
2
6
4
1
8
9
7
3
9
1
7
3
2
5
8
4
6
3
9
8
1
5
4
7
6
2
2
5
1
7
8
6
3
9
4
7
6
4
9
3
2
5
1
8
26
Hardest technique: Hidden Singles
Full solving path
01Naked Singles
F6→8
02Hidden Singles
C1→1
F7→1
A2→2
D3→4
G9→4
B7→5
G2→7
03Naked Singles
I2→8
04Hidden Singles
F9→5
E3→7
D4→7
C7→7
05Naked Singles
C5→8
E5→2
06Naked Singles
E7→3
07Naked Singles
D7→2
08Naked Singles
H7→9
D9→8
09Naked Singles
D1→3
H6→7
A7→4
E9→6
10Naked Singles
E1→8
A4→6
H5→5
C9→3
11Naked Singles
B1→6
C2→4
B4→4
G5→9
A8→8
C8→6
A9→9
H9→2
12Naked Singles
F1→2
B2→3
H4→8
I4→2
B5→7
A6→3
I6→4
13Naked Singles
G1→5
B3→8
F3→6
I3→1
B6→9
14Naked Singles
I1→9
H3→3
G8→3
I8→5
15Naked Singles
G3→2
H8→1
Solution
7
6
1
3
8
2
5
4
9
2
3
4
1
5
9
7
6
8
5
8
9
4
7
6
2
3
1
6
4
5
7
9
3
1
8
2
1
7
8
6
2
4
9
5
3
3
9
2
5
1
8
6
7
4
4
5
7
2
3
1
8
9
6
8
2
6
9
4
7
3
1
5
9
1
3
8
6
5
4
2
7
27
Hardest technique: Hidden Singles
Full solving path
01Naked Singles
I5→2
C9→2
02Naked Singles
H5→5
I8→7
B9→4
03Naked Singles
I2→8
A5→9
B5→3
I6→1
A8→1
04Naked Singles
A2→5
C6→8
C8→6
05Naked Singles
B2→6
A4→4
C4→1
06Naked Singles
B1→1
C3→9
07Naked Singles
C2→3
B3→8
08Hidden Singles
G2→2
D7→4
G8→5
D1→6
H4→6
E7→6
F4→8
H9→8
09Naked Singles
G7→9
10Naked Singles
G1→7
H7→2
11Naked Singles
H1→9
G4→3
F7→1
H8→4
12Naked Singles
F1→3
G6→4
H6→7
13Naked Singles
F8→2
14Naked Singles
F3→5
E8→3
15Naked Singles
D3→2
F6→9
16Naked Singles
E3→1
E6→2
F9→7
17Naked Singles
E4→7
B6→5
D9→9
18Naked Singles
D2→7
E2→9
B4→2
D4→5
D6→3
Solution
2
1
4
6
8
3
7
9
5
5
6
3
7
9
4
2
1
8
7
8
9
2
1
5
6
3
4
4
2
1
5
7
8
3
6
9
9
3
7
1
4
6
8
5
2
6
5
8
3
2
9
4
7
1
8
7
5
4
6
1
9
2
3
1
9
6
8
3
2
5
4
7
3
4
2
9
5
7
1
8
6
28
Hardest technique: Hidden Singles
Full solving path
01Hidden Singles
D1→1
H7→3
C9→4
F6→7
H5→8
D8→8
02Hidden Singles
F4→3
C6→3
D7→5
H6→6
I3→8
G9→8
03Naked Singles
F9→9
04Naked Singles
F2→5
F5→6
E9→7
05Naked Singles
F3→4
E8→6
06Naked Singles
E7→4
07Hidden Singles
C4→6
B7→6
A2→8
08Hidden Singles
B1→7
G2→7
A7→7
09Naked Singles
I7→9
10Hidden Singles
G8→1
E1→3
B3→3
I8→7
A6→9
B8→9
11Naked Singles
E3→2
B5→2
D6→4
C8→5
H9→5
12Naked Singles
C1→2
E2→9
A3→5
H3→1
B4→5
D5→9
G6→5
A9→2
B9→1
13Naked Singles
H1→9
C2→1
H2→2
D4→2
I4→4
14Naked Singles
G1→4
I1→5
G4→9
Solution
6
7
2
1
3
8
4
9
5
8
4
1
6
9
5
7
2
3
5
3
9
7
2
4
6
1
8
1
5
6
2
8
3
9
7
4
4
2
7
9
5
6
3
8
1
9
8
3
4
1
7
5
6
2
7
6
8
5
4
1
2
3
9
3
9
5
8
6
2
1
4
7
2
1
4
3
7
9
8
5
6
29
Hardest technique: Hidden Singles
Full solving path
01Hidden Singles
G7→1
I5→3
G3→6
D3→8
B5→8
C7→8
E9→9
02Hidden Singles
D9→1
E3→3
G8→3
B4→6
I6→8
03Naked Singles
C6→4
04Naked Singles
A6→1
H6→6
C9→2
05Naked Singles
C3→9
A5→9
F6→5
B9→4
06Naked Singles
B1→2
C2→6
A4→2
D4→4
H5→4
A9→3
H9→7
07Naked Singles
H1→9
A2→4
G4→9
I4→5
D5→7
I8→4
08Naked Singles
G1→4
D2→2
I3→2
09Naked Singles
F3→4
D8→5
10Naked Singles
D7→3
F7→6
A8→6
11Naked Singles
F5→1
A7→5
E7→4
E8→7
12Naked Singles
F1→7
E2→1
E5→6
F8→2
13Naked Singles
E1→5
I1→1
F2→9
I2→7
Solution
8
2
3
6
5
7
4
9
1
4
5
6
2
1
9
8
3
7
7
1
9
8
3
4
6
5
2
2
6
7
4
8
3
9
1
5
9
8
5
7
6
1
2
4
3
1
3
4
9
2
5
7
6
8
5
7
8
3
4
6
1
2
9
6
9
1
5
7
2
3
8
4
3
4
2
1
9
8
5
7
6
30
Hardest technique: Hidden Singles
Full solving path
01Hidden Singles
G2→1
A9→1
C5→5
F6→5
I3→8
E6→8
B7→8
F1→9
A4→9
C8→9
02Hidden Singles
G3→5
D8→6
A7→7
C2→8
A5→8
03Naked Singles
E7→3
04Naked Singles
E4→7
F7→4
05Naked Singles
E3→6
D7→5
06Naked Singles
I7→2
D9→7
07Naked Singles
C7→6
F8→1
08Hidden Singles
I8→5
B9→5
A2→6
F3→7
09Naked Singles
B8→4
10Naked Singles
G8→7
C9→2
11Hidden Singles
H1→7
I5→7
12Hidden Singles
I4→1
D5→1
G1→6
H6→6
13Hidden Singles
B1→2
C4→4
14Naked Singles
C1→3
A3→4
B4→3
A6→2
15Naked Singles
I1→4
D4→2
16Naked Singles
D3→3
F5→3
I6→3
17Naked Singles
D2→4
F2→2
H3→2
G5→2
G6→4
18Naked Singles
H2→3
G9→3
19Naked Singles
H9→4
Solution
5
2
3
8
1
9
6
7
4
6
7
8
4
5
2
1
3
9
4
9
1
3
6
7
5
2
8
9
3
4
2
7
6
8
5
1
8
6
5
1
4
3
2
9
7
2
1
7
9
8
5
4
6
3
7
8
6
5
3
4
9
1
2
3
4
9
6
2
1
7
8
5
1
5
2
7
9
8
3
4
6
31
Hardest technique: Hidden Singles
Full solving path
01Hidden Singles
F6→1
A1→4
I2→5
D9→6
02Hidden Singles
H2→3
I4→3
E6→5
B9→5
B1→8
C3→9
A9→9
03Naked Singles
E7→2
C9→2
04Naked Singles
D7→5
05Naked Singles
F7→3
06Naked Singles
B7→1
07Naked Singles
A8→8
B8→3
08Naked Singles
A6→6
09Naked Singles
A4→1
10Naked Singles
A2→2
11Hidden Singles
C2→1
H8→1
D3→2
B5→2
C5→3
I6→4
F3→5
G8→5
I1→9
G4→9
12Naked Singles
G7→8
I9→7
13Naked Singles
G6→7
H7→9
I8→2
H9→4
14Naked Singles
G5→6
C6→8
15Naked Singles
G1→2
C4→7
H5→8
16Naked Singles
D4→8
17Naked Singles
D2→7
E4→6
18Naked Singles
F1→6
B2→6
E2→8
E3→4
D5→4
19Naked Singles
H1→7
B3→7
F5→7
E8→7
20Naked Singles
H3→6
F8→4
Solution
4
8
5
1
3
6
2
7
9
2
6
1
7
8
9
4
3
5
3
7
9
2
4
5
1
6
8
1
4
7
8
6
2
9
5
3
5
2
3
4
9
7
6
8
1
6
9
8
3
5
1
7
2
4
7
1
4
5
2
3
8
9
6
8
3
6
9
7
4
5
1
2
9
5
2
6
1
8
3
4
7
32
Hardest technique: Hidden Singles
Full solving path
01Hidden Singles
D8→1
C9→2
D5→4
E3→5
A1→6
I3→7
H7→7
02Naked Singles
H1→8
03Naked Singles
G1→3
H5→9
04Naked Singles
C1→5
D1→7
H4→1
F5→3
05Naked Singles
H2→4
D4→9
06Naked Singles
D3→3
E4→6
07Naked Singles
G4→8
E6→2
F6→7
D7→2
08Naked Singles
A4→3
I5→2
G6→6
09Naked Singles
C4→7
B6→4
I6→3
10Naked Singles
C6→1
11Hidden Singles
A2→2
G3→2
C2→3
B8→3
C7→4
G9→4
I8→6
F9→6
12Naked Singles
G2→1
I9→8
13Naked Singles
B9→9
14Naked Singles
B3→8
C8→8
15Naked Singles
C3→9
B5→5
A7→5
E8→9
16Naked Singles
E2→8
F3→1
A5→8
F7→8
G7→9
G8→5
17Naked Singles
F2→9
E7→3
Solution
6
1
5
7
4
2
3
8
9
2
7
3
6
8
9
1
4
5
4
8
9
3
5
1
2
6
7
3
2
7
9
6
5
8
1
4
8
5
6
4
1
3
7
9
2
9
4
1
8
2
7
6
5
3
5
6
4
2
3
8
9
7
1
7
3
8
1
9
4
5
2
6
1
9
2
5
7
6
4
3
8
33
Hardest technique: Hidden Singles
Full solving path
01Hidden Singles
G7→1
B9→1
I7→5
I3→7
A8→7
C3→8
G4→8
D7→8
02Naked Singles
G2→2
03Naked Singles
A2→6
G3→4
04Naked Singles
G1→9
A3→2
05Naked Singles
A1→4
G6→7
06Naked Singles
B1→5
A7→9
07Naked Singles
H1→6
B4→4
A5→1
C8→4
08Naked Singles
B5→2
C9→2
09Naked Singles
B7→3
C7→6
10Naked Singles
B8→8
11Naked Singles
I8→9
12Naked Singles
E8→3
I9→8
13Naked Singles
E2→5
I2→3
H9→4
14Naked Singles
H2→8
D3→3
H3→5
I5→6
F9→7
15Naked Singles
F4→6
D5→9
E9→9
16Naked Singles
F3→1
E4→7
H5→3
17Naked Singles
E1→2
E3→6
D4→5
F5→4
H6→9
18Naked Singles
D1→7
C4→9
C6→5
D6→2
E6→1
E7→4
F7→2
19Naked Singles
F6→3
Solution
4
5
3
7
2
8
9
6
1
6
7
1
4
5
9
2
8
3
2
9
8
3
6
1
4
5
7
3
4
9
5
7
6
8
1
2
1
2
7
9
8
4
5
3
6
8
6
5
2
1
3
7
9
4
9
3
6
8
4
2
1
7
5
7
8
4
1
3
5
6
2
9
5
1
2
6
9
7
3
4
8
34
Hardest technique: Hidden Singles
Full solving path
01Naked Singles
F4→5
02Naked Singles
D6→6
03Hidden Singles
H3→3
D9→3
I4→6
E1→9
H7→9
04Hidden Singles
F1→3
B2→3
I3→4
E3→6
I6→7
D7→8
05Naked Singles
B6→2
06Naked Singles
B3→5
07Naked Singles
D3→1
08Naked Singles
D2→5
F3→2
09Naked Singles
E2→7
G2→1
A3→8
F7→1
10Naked Singles
C1→6
A2→2
A6→9
F8→7
11Naked Singles
A1→7
C5→1
12Naked Singles
A4→4
C4→8
H5→4
13Naked Singles
B4→7
G4→9
H4→1
B5→6
G5→2
C6→3
A7→6
A9→1
14Naked Singles
B7→4
H8→5
15Naked Singles
H6→8
I7→2
C8→2
16Naked Singles
G6→5
E7→5
E8→4
I8→1
C9→5
I9→8
17Naked Singles
G1→8
I1→5
E9→2
G9→4
Solution
7
1
6
4
9
3
8
2
5
2
3
4
5
7
8
1
6
9
8
5
9
1
6
2
7
3
4
4
7
8
2
3
5
9
1
6
5
6
1
7
8
9
2
4
3
9
2
3
6
1
4
5
8
7
6
4
7
8
5
1
3
9
2
3
8
2
9
4
7
6
5
1
1
9
5
3
2
6
4
7
8
35
Hardest technique: Hidden Singles
Full solving path
01Naked Singles
H6→8
I7→9
02Naked Singles
I9→8
03Hidden Singles
G8→1
C2→2
A1→3
H4→3
F5→3
B7→3
G6→4
A5→5
E8→5
04Naked Singles
G5→7
05Naked Singles
I5→1
06Naked Singles
I2→4
07Naked Singles
I1→7
08Hidden Singles
F4→1
B8→2
E4→4
C9→7
C5→9
09Naked Singles
C4→8
10Naked Singles
B4→7
11Naked Singles
B6→6
12Naked Singles
B1→8
E6→9
13Naked Singles
D6→7
14Hidden Singles
H2→1
F7→7
G2→8
D3→8
F2→9
15Naked Singles
E2→6
D5→6
16Naked Singles
E5→8
D7→2
17Naked Singles
G7→6
18Naked Singles
G1→5
H9→5
19Naked Singles
F1→4
H3→6
G9→2
20Naked Singles
D1→1
A3→4
F3→5
F9→6
21Naked Singles
C1→6
C3→1
A9→9
22Naked Singles
A8→6
C8→4
D9→4
23Naked Singles
D8→9
Solution
3
8
6
1
2
4
5
9
7
7
5
2
3
6
9
8
1
4
4
9
1
8
7
5
3
6
2
2
7
8
5
4
1
9
3
6
5
4
9
6
8
3
7
2
1
1
6
3
7
9
2
4
8
5
8
3
5
2
1
7
6
4
9
6
2
4
9
5
8
1
7
3
9
1
7
4
3
6
2
5
8
36
Hardest technique: Hidden Singles
Full solving path
01Naked Singles
A5→8
02Naked Singles
I5→3
A6→9
03Naked Singles
A4→7
04Naked Singles
A1→6
B4→3
05Naked Singles
C4→5
B6→2
A8→4
06Naked Singles
F4→8
A9→1
07Naked Singles
H4→9
08Naked Singles
I4→1
09Hidden Singles
G1→1
D6→3
H3→4
D7→4
B1→7
G9→7
B7→9
10Naked Singles
B3→8
G7→8
11Naked Singles
G2→5
B9→6
12Naked Singles
H1→8
G6→4
H9→3
I9→4
13Naked Singles
I1→9
H6→5
I6→8
H7→6
C9→8
14Naked Singles
C1→2
I2→6
F7→3
C8→3
15Naked Singles
D1→5
E2→8
C3→9
E7→1
16Naked Singles
E1→3
D2→7
D5→2
E8→6
17Naked Singles
F2→9
D3→1
E3→2
F5→5
D8→8
F8→7
18Naked Singles
F3→6
E9→5
F9→2
Solution
6
7
2
5
3
4
1
8
9
3
4
1
7
8
9
5
2
6
5
8
9
1
2
6
3
4
7
7
3
5
6
4
8
2
9
1
8
1
4
2
9
5
6
7
3
9
2
6
3
7
1
4
5
8
2
9
7
4
1
3
8
6
5
4
5
3
8
6
7
9
1
2
1
6
8
9
5
2
7
3
4
37
Hardest technique: Hidden Singles
Full solving path
01Naked Singles
E2→3
C8→6
C9→1
02Naked Singles
C3→9
03Naked Singles
C1→3
C6→7
04Hidden Singles
I5→1
D4→3
A5→3
H7→3
D9→4
H6→5
G4→6
E8→7
G9→9
05Hidden Singles
A2→4
D3→7
F4→7
H5→8
F6→8
06Hidden Singles
B4→4
F5→4
I8→8
E9→8
07Hidden Singles
I1→4
H8→4
G2→8
A7→8
08Naked Singles
B2→5
09Naked Singles
A3→6
B9→2
10Naked Singles
B3→8
A6→2
A9→5
11Hidden Singles
H1→9
I4→9
12Naked Singles
H4→2
13Hidden Singles
F2→9
14Naked Singles
D2→1
15Hidden Singles
F7→1
16Hidden Singles
F1→6
D7→6
17Naked Singles
E1→2
D6→9
18Naked Singles
G1→5
F3→5
D5→2
E5→6
B6→6
19Naked Singles
I3→2
B5→9
G7→2
D8→5
F8→2
20Naked Singles
I7→5
Solution
7
1
3
8
2
6
5
9
4
4
5
2
1
3
9
8
7
6
6
8
9
7
4
5
3
1
2
1
4
8
3
5
7
6
2
9
3
9
5
2
6
4
7
8
1
2
6
7
9
1
8
4
5
3
8
7
4
6
9
1
2
3
5
9
3
6
5
7
2
1
4
8
5
2
1
4
8
3
9
6
7
38
Hardest technique: Hidden Singles
Full solving path
01Hidden Singles
A1→2
F2→8
I6→8
02Hidden Singles
B1→4
A4→4
C4→8
D5→8
03Naked Singles
F4→1
C5→9
04Naked Singles
F1→6
E4→7
G4→6
B5→3
05Naked Singles
F3→3
H4→9
B6→7
D6→5
06Naked Singles
B2→5
E3→5
C6→6
E6→2
07Naked Singles
E1→1
C2→7
B3→9
F5→4
G6→3
08Naked Singles
D1→7
I1→9
A2→6
C7→2
E7→3
B8→1
F9→2
09Naked Singles
G1→5
A7→7
B7→8
C9→5
E9→4
10Naked Singles
G8→2
11Naked Singles
G3→7
G5→1
12Naked Singles
H5→2
13Naked Singles
H3→6
14Naked Singles
I3→2
H7→1
15Naked Singles
H2→3
D7→6
I9→3
16Naked Singles
I2→1
D8→9
H8→5
I8→6
A9→9
H9→7
17Naked Singles
A8→3
D9→1
Solution
2
4
3
7
1
6
5
8
9
6
5
7
2
9
8
4
3
1
8
9
1
4
5
3
7
6
2
4
2
8
3
7
1
6
9
5
5
3
9
8
6
4
1
2
7
1
7
6
5
2
9
3
4
8
7
8
2
6
3
5
9
1
4
3
1
4
9
8
7
2
5
6
9
6
5
1
4
2
8
7
3
39
Hardest technique: Naked Singles
Full solving path
01Naked Singles
B2→1
A4→6
B7→5
H8→8
02Naked Singles
H3→6
C4→7
I4→2
B8→7
03Naked Singles
H2→2
D4→9
C5→1
B9→8
04Naked Singles
H1→7
A6→8
05Naked Singles
A5→5
I6→4
06Naked Singles
I2→9
G6→7
07Naked Singles
E2→6
G5→8
F6→1
I9→3
08Naked Singles
I5→6
G7→9
E9→9
09Naked Singles
E8→2
A9→1
C9→6
10Naked Singles
E1→1
F8→4
11Naked Singles
I1→8
D7→3
F7→6
A8→9
12Naked Singles
A1→4
I3→1
C7→4
C8→3
13Naked Singles
D1→2
G1→3
C3→9
A7→2
14Naked Singles
F1→9
F3→5
D5→7
15Naked Singles
D2→4
G3→4
F5→2
D9→5
F9→7
16Naked Singles
G2→5
D3→8
Solution
4
6
5
2
1
9
3
7
8
7
1
8
4
6
3
5
2
9
3
2
9
8
7
5
4
6
1
6
3
7
9
4
8
1
5
2
5
4
1
7
3
2
8
9
6
8
9
2
6
5
1
7
3
4
2
5
4
3
8
6
9
1
7
9
7
3
1
2
4
6
8
5
1
8
6
5
9
7
2
4
3
40
Hardest technique: Hidden Singles
Full solving path
01Naked Singles
C8→4
02Naked Singles
H8→5
03Naked Singles
I8→6
04Hidden Singles
B4→1
H9→1
F2→3
F3→6
G4→6
A6→6
E7→6
05Naked Singles
C9→2
06Naked Singles
C7→1
07Hidden Singles
A1→1
D7→2
A2→5
C6→5
I9→8
08Naked Singles
C3→8
09Hidden Singles
A7→3
D8→3
G1→8
H4→8
B6→8
A9→9
10Naked Singles
A5→4
B8→7
11Naked Singles
B2→2
A3→7
B5→3
12Naked Singles
B1→4
H2→9
G3→4
13Naked Singles
G2→7
H5→2
H6→4
G7→9
14Naked Singles
I4→3
I5→9
D6→9
I7→4
15Naked Singles
D1→7
E4→7
E6→3
16Naked Singles
F1→5
F4→4
D9→4
E9→5
17Naked Singles
I1→2
E3→2
F9→7
18Naked Singles
E1→9
I3→5
Solution
1
4
3
7
9
5
8
6
2
5
2
6
8
4
3
7
9
1
7
9
8
1
2
6
4
3
5
2
1
9
5
7
4
6
8
3
4
3
7
6
8
1
5
2
9
6
8
5
9
3
2
1
4
7
3
5
1
2
6
8
9
7
4
8
7
4
3
1
9
2
5
6
9
6
2
4
5
7
3
1
8
Advanced
41–60
41
Hardest technique: Box-Line Reduction
Full solving path
01Hidden Singles
H2→1
B4→1
C7→1
A4→2
D7→2
C9→2
F4→3
E1→4
G4→7
02Naked Singles
D2→7
H7→9
E9→5
03Naked Singles
C2→6
D3→1
04Naked Singles
B2→4
F3→5
05Naked Singles
A2→5
B9→6
06Naked Singles
G2→9
G9→4
07Naked Singles
I2→2
I7→3
08Hidden Singles
F5→1
H8→2
A8→9
09Hidden Singles
A7→4
F8→4
10Naked Singles
F7→7
11Pointing Pairs
Pointing Pair between Box 4 and Row 6:
Remove 8 from E6
Remove 8 from H6
Remove 8 from I6
12Box-Line Reduction
6s in Box 6 are confined to one row, so they can be eliminated from the rest of Box 6:
Remove 6 from I5
Remove 6 from H6
Remove 6 from I6
H6→5
13Naked Singles
H1→8
14Naked Singles
C1→3
I3→6
H4→6
15Naked Singles
G1→5
A3→7
G3→3
C8→7
I8→5
16Naked Singles
B3→8
A5→6
C6→8
B8→3
G8→6
17Naked Singles
D5→4
A6→3
B6→7
18Naked Singles
I5→8
D6→6
E6→9
19Naked Singles
E4→8
I4→9
E5→7
I6→4
Solution
1
2
3
9
4
6
5
8
7
5
4
6
7
3
8
9
1
2
7
8
9
1
2
5
3
4
6
2
1
4
5
8
3
7
6
9
6
9
5
4
7
1
2
3
8
3
7
8
6
9
2
1
5
4
4
5
1
2
6
7
8
9
3
9
3
7
8
1
4
6
2
5
8
6
2
3
5
9
4
7
1
42
Hardest technique: Naked Pair
Full solving path
01Naked Singles
A7→8
02Naked Singles
A4→3
03Naked Singles
A5→9
04Hidden Singles
I3→1
G4→2
E3→4
C9→5
E8→8
05Hidden Singles
B4→4
H6→4
G5→5
D3→6
C5→6
B7→6
H9→6
06Naked Singles
D4→5
B8→2
07Naked Singles
E4→6
F4→8
C8→4
08Hidden Singles
G7→4
H5→8
C6→8
09Naked Singles
B5→1
10Hidden Singles
C2→1
G8→1
B1→8
11Naked Pair
Naked Pair 3/7 on cells E5 and E9:
Remove 3 from E6
Remove 7 from E6
Remove 7 from E7
Remove 3 from E1
Remove 3 from E2
12Hidden Singles
G1→3
13Naked Singles
G9→7
14Naked Singles
G2→9
H7→9
E9→3
15Naked Singles
E5→7
D7→1
D8→9
H8→3
16Naked Singles
I5→3
D6→3
E7→5
17Naked Singles
E2→2
F6→9
I6→7
F7→7
18Naked Singles
E1→9
H2→7
F3→3
E6→1
19Naked Singles
C1→2
B2→3
F2→5
B3→7
H3→2
20Naked Singles
C3→9
Solution
6
8
2
7
9
1
3
5
4
4
3
1
8
2
5
9
7
6
5
7
9
6
4
3
8
2
1
3
4
7
5
6
8
2
1
9
9
1
6
4
7
2
5
8
3
2
5
8
3
1
9
6
4
7
8
6
3
1
5
7
4
9
2
7
2
4
9
8
6
1
3
5
1
9
5
2
3
4
7
6
8
43
Hardest technique: Naked Pair
Full solving path
01Hidden Singles
D6→3
G4→5
E9→5
E1→9
02Naked Singles
G6→8
03Naked Singles
H5→9
04Naked Singles
I6→1
05Naked Singles
I4→3
A6→9
C6→7
06Naked Singles
E6→4
07Naked Singles
E3→6
08Hidden Singles
E5→2
I2→9
B8→9
09Hidden Singles
B2→5
A8→5
10Hidden Singles
H1→5
B3→7
11Hidden Singles
C1→3
H3→3
B9→3
12Naked Singles
G1→2
13Naked Singles
G2→7
G9→6
14Naked Singles
G8→3
15Naked Pair
Naked Pair 4/8 on cells F1 and F3:
Remove 4 from D2
Remove 8 from D2
Remove 4 from F2
Remove 8 from F2
Remove 8 from F4
Remove 8 from F5
Remove 4 from F8
16Hidden Singles
D5→8
17Naked Singles
B5→6
18Naked Singles
F5→1
B7→8
19Naked Singles
F2→2
E4→7
C9→4
20Naked Singles
D2→1
F4→6
E7→1
D9→2
21Naked Singles
A7→6
F8→7
I9→8
22Naked Singles
I3→4
D7→4
C8→1
H8→4
23Naked Singles
H2→8
F3→8
C4→8
H7→7
D8→6
I8→2
24Naked Singles
F1→4
A2→4
C2→6
A4→1
25Naked Singles
A1→8
Solution
8
1
3
7
9
4
2
5
6
4
5
6
1
3
2
7
8
9
2
7
9
5
6
8
1
3
4
1
4
8
9
7
6
5
2
3
3
6
5
8
2
1
4
9
7
9
2
7
3
4
5
8
6
1
6
8
2
4
1
3
9
7
5
5
9
1
6
8
7
3
4
2
7
3
4
2
5
9
6
1
8
44
Hardest technique: Naked Pair
Full solving path
01Hidden Singles
I8→2
A5→4
G9→4
C5→5
B8→5
A2→6
C6→6
F8→6
G5→7
B1→8
E4→8
C9→8
02Hidden Singles
I3→1
H8→1
B2→4
G1→6
H4→6
C8→7
03Hidden Singles
D2→1
F4→2
H6→2
B3→7
04Hidden Singles
A7→2
05Naked Singles
A9→9
06Naked Pair
Naked Pair 3/9 on cells C1 and I1:
Remove 3 from D1
Remove 9 from D1
Remove 3 from E1
Remove 9 from E1
Remove 3 from F1
Remove 9 from F1
F1→5
07Hidden Singles
E9→5
08Naked Singles
H9→3
09Naked Singles
F9→7
10Naked Singles
D9→2
11Naked Singles
D1→4
12Naked Singles
E1→2
D8→9
13Naked Singles
D3→3
F7→3
E8→4
14Naked Singles
F2→9
C3→9
D6→7
15Naked Singles
C1→3
E2→7
H2→5
16Naked Singles
I1→9
G2→3
H7→9
17Naked Singles
G4→9
I5→3
G7→5
18Naked Singles
B4→3
E5→9
19Naked Singles
B6→9
E6→3
Solution
1
8
3
4
2
5
6
7
9
6
4
2
1
7
9
3
5
8
5
7
9
3
6
8
2
4
1
7
3
1
5
8
2
9
6
4
4
2
5
6
9
1
7
8
3
8
9
6
7
3
4
1
2
5
2
6
4
8
1
3
5
9
7
3
5
7
9
4
6
8
1
2
9
1
8
2
5
7
4
3
6
45
Hardest technique: Naked Pair
Full solving path
01Naked Singles
E3→4
I9→1
02Naked Singles
E7→6
H9→2
03Naked Singles
A9→6
C9→8
E9→7
04Naked Singles
E1→3
05Naked Singles
E5→5
06Hidden Singles
G3→1
C7→1
B2→3
G7→3
A1→4
I3→5
I1→7
G5→8
07Naked Singles
I2→4
08Naked Singles
H2→6
09Naked Singles
G2→2
10Naked Singles
G1→9
11Naked Singles
B1→2
G6→4
12Naked Singles
C3→9
G4→6
13Naked Singles
B3→8
14Naked Singles
D3→2
15Hidden Singles
B5→6
16Hidden Singles
H5→1
B6→1
17Naked Pair
Naked Pair 3/9 on cells I4 and I5:
Remove 9 from H4
Remove 9 from H6
18Hidden Singles
A6→9
19Naked Singles
B4→5
A7→2
20Naked Singles
H4→7
A5→3
F7→4
B8→9
C8→3
21Naked Singles
C4→4
F5→7
I5→9
C6→7
H6→5
H7→9
A8→5
D8→8
H8→4
22Naked Singles
D2→7
F2→8
D4→9
I4→3
C5→2
D5→4
F6→3
F8→2
Solution
4
2
6
1
3
5
9
8
7
1
3
5
7
9
8
2
6
4
7
8
9
2
4
6
1
3
5
8
5
4
9
2
1
6
7
3
3
6
2
4
5
7
8
1
9
9
1
7
6
8
3
4
5
2
2
7
1
5
6
4
3
9
8
5
9
3
8
1
2
7
4
6
6
4
8
3
7
9
5
2
1
46
Hardest technique: Naked Pair
Full solving path
01Naked Singles
F2→9
E4→6
A6→5
02Naked Singles
F1→5
F5→7
C6→6
03Naked Singles
E6→9
F8→6
04Naked Singles
D5→2
I6→7
05Hidden Singles
A4→2
D2→3
A9→3
C5→4
E9→4
B2→6
H3→6
06Hidden Singles
G3→3
H5→3
I5→6
G2→7
E8→7
07Hidden Singles
A1→7
B7→7
H9→7
G5→9
08Naked Pair
Naked Pair 1/9 on cells A3 and C3:
Remove 1 from B1
Remove 1 from C2
09Naked Pair
Naked Pair 1/9 on cells C3 and C7:
Remove 1 from C8
Remove 9 from C8
Remove 1 from C9
Remove 9 from C9
10Naked Pair
Naked Pair 1/9 on cells D8 and H8:
Remove 1 from A8
Remove 9 from A8
Remove 1 from G8
A8→8
11Naked Singles
A5→1
12Naked Singles
A3→9
B5→8
13Naked Singles
B1→2
C3→1
14Naked Singles
C2→8
C7→9
B9→1
15Naked Singles
E2→1
D9→9
16Naked Singles
E1→8
I2→2
D8→1
17Naked Singles
H8→9
I9→5
18Naked Singles
H1→1
I4→1
G8→2
C9→2
19Naked Singles
G1→4
G4→5
I7→4
C8→5
20Naked Singles
I1→9
G7→1
Solution
7
2
3
6
8
5
4
1
9
4
6
8
3
1
9
7
5
2
9
5
1
7
2
4
3
6
8
2
9
7
8
6
3
5
4
1
1
8
4
2
5
7
9
3
6
5
3
6
4
9
1
8
2
7
6
7
9
5
3
2
1
8
4
8
4
5
1
7
6
2
9
3
3
1
2
9
4
8
6
7
5
47
Hardest technique: Naked Pair
Full solving path
01Naked Singles
B8→4
02Naked Singles
A9→1
03Hidden Singles
F1→5
H3→5
A8→5
A1→7
I6→7
C8→7
04Naked Singles
A7→3
F8→8
05Naked Singles
G8→3
06Hidden Singles
D4→5
E1→9
H2→9
07Naked Singles
F3→2
E9→6
08Naked Singles
C9→2
09Naked Singles
B7→6
I9→4
10Naked Singles
H7→1
D9→9
11Hidden Singles
I4→2
G2→4
12Naked Singles
G5→1
I7→8
13Naked Singles
G1→8
I1→1
G6→6
G7→2
14Hidden Singles
F4→6
15Naked Pair
Naked Pair 3/8 on cells D2 and D3:
Remove 3 from D5
Remove 8 from D5
Remove 3 from D6
16Hidden Singles
E6→3
17Naked Singles
E5→8
18Naked Singles
E4→1
C5→3
19Naked Singles
C4→8
H5→4
20Naked Singles
C2→6
A4→4
H4→3
21Naked Singles
I2→3
C3→1
A6→9
22Naked Singles
D2→8
A3→8
B3→9
I3→6
B5→2
F6→4
23Naked Singles
D3→3
D5→7
B6→1
D6→2
F7→7
24Naked Singles
F5→9
D7→4
Solution
7
3
4
6
9
5
8
2
1
2
5
6
8
7
1
4
9
3
8
9
1
3
4
2
7
5
6
4
7
8
5
1
6
9
3
2
6
2
3
7
8
9
1
4
5
9
1
5
2
3
4
6
8
7
3
6
9
4
5
7
2
1
8
5
4
7
1
2
8
3
6
9
1
8
2
9
6
3
5
7
4
48
Hardest technique: Naked Pair
Full solving path
01Naked Singles
F4→8
02Naked Singles
F2→3
F3→4
E6→9
03Naked Singles
E4→1
D6→5
F9→5
04Naked Singles
E1→6
F7→2
05Naked Singles
E2→8
06Hidden Singles
C6→4
07Hidden Singles
C4→3
08Naked Singles
H4→2
09Hidden Singles
G1→2
B6→2
10Hidden Singles
H1→4
11Hidden Singles
C1→5
G2→5
H7→5
12Hidden Singles
I2→1
13Naked Singles
I3→7
14Naked Singles
D3→1
I6→3
15Naked Singles
D1→7
H6→8
16Naked Singles
B1→1
H5→1
G6→7
17Naked Singles
H9→3
18Naked Singles
E9→4
19Naked Singles
E8→3
20Hidden Singles
G9→1
21Naked Pair
Naked Pair 6/7 on cells A2 and A4:
Remove 6 from A7
Remove 6 from A8
22Hidden Singles
C8→6
23Naked Singles
C2→7
I8→9
24Naked Singles
A2→6
I7→6
D8→8
C9→8
25Naked Singles
A4→7
C5→9
A7→4
D7→9
G8→4
B9→7
26Naked Singles
C3→2
B4→6
G5→6
G7→8
A8→2
27Naked Singles
A3→8
G4→9
B5→8
28Naked Singles
B3→9
Solution
3
1
5
7
6
9
2
4
8
6
4
7
2
8
3
5
9
1
8
9
2
1
5
4
3
6
7
7
6
3
4
1
8
9
2
5
5
8
9
3
2
7
6
1
4
1
2
4
5
9
6
7
8
3
4
3
1
9
7
2
8
5
6
2
5
6
8
3
1
4
7
9
9
7
8
6
4
5
1
3
2
49
Hardest technique: Naked Pair
Full solving path
01Naked Singles
G2→4
A6→1
B6→9
02Naked Singles
G1→1
H6→4
03Naked Singles
G3→6
G7→9
G9→8
04Hidden Singles
H3→2
I2→5
D5→5
B7→6
E2→8
C3→9
H5→9
05Hidden Singles
D1→2
A7→2
B4→5
H4→6
E5→6
C1→7
C8→8
F2→9
E8→9
06Naked Singles
A5→8
07Naked Singles
B5→2
I5→1
08Naked Singles
I4→8
F5→4
09Hidden Singles
A1→5
B3→8
10Naked Pair
Naked Pair 3/7 on cells D2 and D6:
Remove 3 from D3
Remove 7 from D3
Remove 3 from D8
Remove 7 from D8
11Hidden Singles
F8→7
12Hidden Singles
D8→1
13Naked Singles
D3→4
F7→3
14Naked Singles
E1→3
A3→3
F9→2
15Naked Singles
B1→4
D2→7
I3→7
F4→1
E6→7
A8→4
16Naked Singles
H2→3
E3→1
E4→2
D6→3
I7→4
B8→3
17Naked Singles
E7→5
H9→1
I9→3
18Naked Singles
C7→1
H7→7
C9→5
E9→4
Solution
5
4
7
2
3
6
1
8
9
6
1
2
7
8
9
4
3
5
3
8
9
4
1
5
6
2
7
7
5
4
9
2
1
3
6
8
8
2
3
5
6
4
7
9
1
1
9
6
3
7
8
5
4
2
2
6
1
8
5
3
9
7
4
4
3
8
1
9
7
2
5
6
9
7
5
6
4
2
8
1
3
50
Hardest technique: Naked Pair
Full solving path
01Naked Singles
F8→1
02Naked Singles
E8→2
E9→7
03Naked Singles
D8→9
04Hidden Singles
A3→2
D6→2
D5→3
C7→9
05Naked Singles
I7→5
06Naked Singles
H7→2
07Naked Singles
G7→4
08Naked Singles
B7→7
G8→6
09Naked Singles
G3→1
10Naked Singles
G5→7
G9→9
11Naked Singles
G2→2
12Hidden Singles
F4→7
13Hidden Singles
F2→4
E4→4
14Naked Singles
E1→3
15Naked Singles
E2→5
16Naked Singles
D2→6
E6→1
17Naked Singles
D4→5
18Naked Singles
A4→6
19Hidden Singles
H6→5
B9→6
20Naked Pair
Naked Pair 4/8 on cells A1 and B1:
Remove 8 from C1
Remove 8 from H1
Remove 8 from I1
Remove 8 from B2
Remove 8 from C2
21Naked Pair
Naked Pair 6/9 on cells I1 and I6:
Remove 6 from I5
I5→1
22Naked Singles
H4→9
23Naked Singles
B4→1
I6→6
24Naked Singles
I1→9
B2→3
F6→8
25Naked Singles
I2→8
B3→5
F5→6
B6→9
26Naked Singles
H2→7
C3→6
I9→3
27Naked Singles
C1→7
H1→6
C2→1
H3→3
H8→8
A9→8
28Naked Singles
A1→4
A5→5
B8→4
C8→5
H9→1
29Naked Singles
B1→8
C5→8
A8→3
Solution
4
8
7
1
3
2
5
6
9
9
3
1
6
5
4
2
7
8
2
5
6
7
8
9
1
3
4
6
1
3
5
4
7
8
9
2
5
2
8
3
9
6
7
4
1
7
9
4
2
1
8
3
5
6
1
7
9
8
6
3
4
2
5
3
4
5
9
2
1
6
8
7
8
6
2
4
7
5
9
1
3
51
Hardest technique: Naked Pair
Full solving path
01Naked Singles
B5→6
C5→3
02Naked Singles
G5→7
03Naked Singles
G1→1
H5→4
04Hidden Singles
D3→2
H9→2
A1→6
E1→8
B7→8
H8→8
05Naked Singles
H6→5
06Naked Singles
H3→7
I4→3
07Naked Singles
I1→4
F3→4
08Naked Singles
B1→2
09Naked Singles
C1→7
B4→5
10Naked Singles
B2→4
11Hidden Singles
C4→2
G7→3
12Naked Pair
Naked Pair 1/9 on cells A6 and C6:
Remove 1 from D6
Remove 1 from E6
Remove 1 from F6
E6→4
13Hidden Singles
D7→4
C9→4
14Naked Singles
C7→5
15Naked Singles
C3→9
F7→7
16Naked Singles
A2→5
F2→1
G3→5
C6→1
E9→1
17Naked Singles
D2→7
I2→9
E4→7
F4→6
A6→9
D8→3
A9→7
G9→9
18Naked Singles
G4→8
D6→8
F6→3
A8→1
F8→5
I9→5
19Naked Singles
D4→1
G6→6
I8→7
Solution
6
2
7
5
8
9
1
3
4
5
4
8
7
3
1
2
6
9
3
1
9
2
6
4
5
7
8
4
5
2
1
7
6
8
9
3
8
6
3
9
5
2
7
4
1
9
7
1
8
4
3
6
5
2
2
8
5
4
9
7
3
1
6
1
9
6
3
2
5
4
8
7
7
3
4
6
1
8
9
2
5
52
Hardest technique: Naked Pair
Full solving path
01Naked Singles
G4→8
H7→8
02Naked Singles
G5→3
03Naked Singles
G2→5
04Naked Singles
G7→9
05Hidden Singles
B7→1
I7→2
F6→3
B5→4
06Hidden Singles
A5→2
E6→2
B8→5
07Hidden Singles
B2→2
F3→2
A4→5
I9→5
C8→7
08Hidden Singles
D4→1
D3→5
E5→5
C3→9
09Naked Singles
D7→7
10Naked Singles
F7→5
11Hidden Singles
D9→4
D5→9
12Naked Singles
H9→6
13Naked Singles
I8→3
14Naked Singles
H8→4
15Naked Pair
Naked Pair 7/8 on cells B1 and B3:
Remove 8 from A1
Remove 8 from A2
Remove 8 from A3
A3→3
16Naked Singles
H3→7
17Naked Singles
B3→8
H5→1
18Naked Singles
B1→7
H2→3
C5→8
I6→6
19Naked Singles
I5→7
C6→1
D6→8
20Naked Singles
D2→6
F5→6
21Naked Singles
A2→1
F8→8
22Naked Singles
A1→6
F1→4
I2→8
A8→9
E9→9
23Naked Singles
E1→8
I1→1
E2→7
F4→7
E8→6
A9→8
24Naked Singles
E4→4
Solution
6
7
5
3
8
4
2
9
1
1
2
4
6
7
9
5
3
8
3
8
9
5
1
2
6
7
4
5
6
3
1
4
7
8
2
9
2
4
8
9
5
6
3
1
7
7
9
1
8
2
3
4
5
6
4
1
6
7
3
5
9
8
2
9
5
7
2
6
8
1
4
3
8
3
2
4
9
1
7
6
5
53
Hardest technique: Naked Pair
Full solving path
01Naked Singles
C1→6
02Hidden Singles
I2→1
E8→3
E3→6
H6→8
D8→8
B9→8
03Hidden Singles
A8→5
E9→7
G1→8
A2→8
04Naked Singles
E1→2
F7→5
05Naked Singles
H1→7
E2→5
F2→3
F5→7
D7→1
06Naked Singles
B2→4
D3→7
F3→8
D5→5
E7→9
07Naked Singles
H2→2
C3→3
08Hidden Singles
B5→3
C6→5
09Hidden Singles
G5→1
10Naked Pair
Naked Pair 2/4 on cells C7 and G7:
Remove 2 from A7
Remove 4 from A7
11Hidden Singles
C7→4
12Naked Singles
G7→2
13Naked Singles
G9→9
14Naked Singles
C9→2
15Naked Singles
C5→9
16Hidden Singles
H3→9
I6→9
B8→9
17Naked Singles
I3→4
18Naked Singles
G3→5
I8→6
19Naked Singles
G4→4
I5→2
H8→4
20Naked Singles
E4→1
I4→7
H5→6
21Naked Singles
B4→6
H4→5
A5→4
E6→4
22Naked Singles
A4→2
A6→7
B7→7
23Naked Singles
B6→1
A7→6
Solution
9
5
6
4
2
1
8
7
3
8
4
7
9
5
3
6
2
1
1
2
3
7
6
8
5
9
4
2
6
8
3
1
9
4
5
7
4
3
9
5
8
7
1
6
2
7
1
5
2
4
6
3
8
9
6
7
4
1
9
5
2
3
8
5
9
1
8
3
2
7
4
6
3
8
2
6
7
4
9
1
5
54
Hardest technique: Naked Pair
Full solving path
01Naked Singles
B1→7
D3→7
02Naked Singles
F1→9
A3→5
D9→2
03Naked Singles
H1→8
C2→3
D2→8
E2→1
D6→9
B9→1
04Naked Singles
I2→7
E3→4
H9→7
05Naked Singles
G2→5
A9→6
06Naked Singles
H2→9
C9→4
07Hidden Singles
I1→4
G4→4
A5→9
08Naked Singles
G1→6
09Naked Singles
G5→7
10Hidden Singles
G6→8
11Naked Pair
Naked Pair 2/5 on cells B4 and B6:
Remove 2 from A4
Remove 5 from C4
Remove 5 from C5
Remove 5 from C6
Remove 5 from B7
Remove 2 from B8
Remove 5 from B8
C5→6
12Naked Singles
I5→2
13Naked Singles
E5→5
14Naked Singles
F4→7
15Naked Singles
A4→8
16Naked Singles
C4→1
A7→7
17Naked Singles
H4→5
C6→7
E7→9
A8→2
C8→5
18Naked Singles
B4→2
H6→1
B7→3
C7→8
E8→7
F8→1
19Naked Singles
H3→2
E4→6
B6→5
I6→6
F7→5
I7→1
B8→9
G8→3
20Naked Singles
G3→1
I3→3
E6→2
Solution
1
7
2
5
3
9
6
8
4
4
6
3
8
1
2
5
9
7
5
8
9
7
4
6
1
2
3
8
2
1
3
6
7
4
5
9
9
4
6
1
5
8
7
3
2
3
5
7
9
2
4
8
1
6
7
3
8
4
9
5
2
6
1
2
9
5
6
7
1
3
4
8
6
1
4
2
8
3
9
7
5
55
Hardest technique: Naked Pair
Full solving path
01Hidden Singles
H1→2
I4→2
F7→2
G5→3
A8→3
E1→8
D6→8
H7→8
02Hidden Singles
A3→2
C8→2
D4→3
E7→3
E6→6
03Hidden Singles
F2→3
D3→4
E4→4
C7→9
E8→9
04Naked Singles
B8→1
05Naked Singles
B3→9
06Naked Singles
B4→7
07Naked Singles
B9→8
08Naked Singles
B5→4
A9→6
09Naked Singles
C9→7
D9→5
10Naked Singles
D8→6
E9→1
11Hidden Singles
C5→6
F1→9
A4→9
12Hidden Singles
C2→8
A5→8
13Naked Pair
Naked Pair 5/6 on cells G1 and I1:
Remove 5 from G2
Remove 5 from H2
Remove 5 from I2
Remove 5 from G3
14Naked Pair
Naked Pair 1/5 on cells H5 and I5:
Remove 1 from G6
Remove 5 from G6
Remove 1 from H6
Remove 5 from H6
Remove 1 from I6
Remove 5 from I6
H6→4
15Naked Singles
H2→1
16Naked Singles
A2→5
G3→7
H5→5
17Naked Singles
E2→7
C3→1
E3→5
I5→1
A6→1
G6→9
18Naked Singles
G2→4
C4→5
F6→5
I6→7
I7→6
19Naked Singles
I1→5
I2→9
F4→1
G7→1
G8→5
20Naked Singles
G1→6
I8→4
Solution
7
3
4
1
8
9
6
2
5
5
6
8
2
7
3
4
1
9
2
9
1
4
5
6
7
3
8
9
7
5
3
4
1
8
6
2
8
4
6
9
2
7
3
5
1
1
2
3
8
6
5
9
4
7
4
5
9
7
3
2
1
8
6
3
1
2
6
9
8
5
7
4
6
8
7
5
1
4
2
9
3
56
Hardest technique: Naked Pair
Full solving path
01Hidden Singles
H9→1
A7→2
I8→2
A3→4
I5→4
F6→4
B9→4
H2→5
B1→6
G3→8
A2→9
B4→9
H6→9
I7→9
D8→9
02Naked Singles
H5→7
03Naked Singles
H1→2
04Naked Singles
H3→6
05Hidden Singles
D3→2
F4→2
G4→3
I4→5
06Naked Singles
D4→7
07Naked Singles
E4→1
08Hidden Singles
F1→1
C3→1
09Naked Pair
Naked Pair 3/7 on cells C1 and C2:
Remove 3 from C6
Remove 7 from C6
Remove 3 from C7
Remove 7 from C7
10Hidden Singles
B7→3
A6→7
11Naked Singles
B5→8
A9→5
12Naked Singles
A5→3
C6→5
C7→8
B8→7
D9→6
13Naked Singles
D5→5
E7→7
G8→5
G9→7
14Naked Singles
E3→3
F5→6
F7→5
G7→6
F8→8
15Naked Singles
D2→8
F2→7
I3→7
E6→8
16Naked Singles
I1→3
C2→3
D6→3
17Naked Singles
C1→7
Solution
8
6
7
4
5
1
9
2
3
9
2
3
8
6
7
4
5
1
4
5
1
2
3
9
8
6
7
6
9
4
7
1
2
3
8
5
3
8
2
5
9
6
1
7
4
7
1
5
3
8
4
2
9
6
2
3
8
1
7
5
6
4
9
1
7
6
9
4
8
5
3
2
5
4
9
6
2
3
7
1
8
57
Hardest technique: Naked Pair
Full solving path
01Hidden Singles
I9→2
I5→3
H6→5
C5→6
G4→7
D6→7
02Naked Singles
I6→4
03Naked Singles
I2→7
G5→1
C6→8
04Naked Singles
B4→1
I7→6
05Naked Singles
I1→1
A4→2
06Naked Singles
H3→4
F4→8
A5→4
07Naked Singles
G1→6
B3→5
H7→7
08Naked Singles
H8→3
09Naked Singles
H9→1
10Hidden Singles
A3→1
11Naked Pair
Naked Pair 2/9 on cells D3 and D5:
Remove 2 from D1
Remove 9 from D2
Remove 9 from D9
12Naked Pair
Naked Pair 4/9 on cells F7 and F8:
Remove 4 from F1
Remove 9 from F5
Remove 9 from E8
Remove 4 from D9
Remove 9 from E9
Remove 4 from F9
Remove 9 from F9
F5→2
13Naked Singles
D5→9
14Naked Singles
D3→2
15Naked Singles
C3→9
16Naked Singles
C2→4
17Naked Singles
D2→8
C9→7
18Naked Singles
C1→2
E1→3
B2→3
D9→5
19Naked Singles
B1→8
D1→4
F1→5
E2→9
E9→8
F9→3
20Naked Singles
A1→7
B7→4
E8→7
A9→9
21Naked Singles
F7→9
A8→8
G9→4
22Naked Singles
G7→8
F8→4
G8→9
Solution
7
8
2
4
3
5
6
9
1
6
3
4
8
9
1
5
2
7
1
5
9
2
6
7
3
4
8
2
1
5
3
4
8
7
6
9
4
7
6
9
5
2
1
8
3
3
9
8
7
1
6
2
5
4
5
4
3
1
2
9
8
7
6
8
2
1
6
7
4
9
3
5
9
6
7
5
8
3
4
1
2
58
Hardest technique: Naked Pair
Full solving path
01Naked Singles
B2→2
02Naked Singles
B7→1
03Naked Singles
H7→8
04Naked Singles
H8→1
I8→2
05Naked Singles
H5→9
G9→5
06Naked Singles
H3→3
G5→1
G7→7
I7→6
07Naked Singles
G1→4
08Naked Singles
I1→9
G4→8
09Naked Singles
D1→6
G3→2
I3→8
G6→3
I6→4
10Naked Singles
I4→5
A6→1
11Hidden Singles
F4→1
A4→4
A3→5
B5→5
F7→5
C9→8
12Naked Singles
B3→6
13Naked Pair
Naked Pair 2/6 on cells E5 and E9:
Remove 2 from E7
E7→4
14Hidden Singles
D3→4
15Hidden Singles
D7→9
16Naked Singles
F9→6
17Naked Singles
E9→2
18Naked Singles
E5→6
A9→9
19Naked Singles
A2→3
C5→2
20Naked Singles
C1→1
E2→8
C4→7
A7→2
C7→3
21Naked Singles
E1→3
F2→9
C3→9
D4→2
C6→6
E8→7
22Naked Singles
E3→1
F3→7
D8→8
23Naked Singles
D6→7
F6→8
Solution
7
8
1
6
3
2
4
5
9
3
2
4
5
8
9
6
7
1
5
6
9
4
1
7
2
3
8
4
3
7
2
9
1
8
6
5
8
5
2
3
6
4
1
9
7
1
9
6
7
5
8
3
2
4
2
1
3
9
4
5
7
8
6
6
4
5
8
7
3
9
1
2
9
7
8
1
2
6
5
4
3
59
Hardest technique: Naked Pair
Full solving path
01Naked Singles
H4→6
H6→1
02Naked Singles
H5→3
03Hidden Singles
A5→2
E6→2
E1→4
C2→4
F4→4
I8→4
A2→6
B9→6
I3→9
04Hidden Singles
G3→3
C9→7
E5→9
B6→9
05Naked Singles
G8→6
06Hidden Singles
C7→2
H9→2
E7→6
07Naked Singles
H1→5
G7→1
08Naked Singles
G2→7
09Naked Singles
G1→2
I2→1
10Naked Singles
E2→5
11Naked Pair
Naked Pair 7/8 on cells E4 and D6:
Remove 7 from D5
Remove 8 from D5
Remove 8 from F5
12Hidden Singles
F3→8
13Naked Singles
C3→5
14Naked Singles
C8→8
15Naked Singles
E8→3
16Naked Singles
A8→5
E9→1
17Naked Singles
E3→7
A7→3
F9→5
18Naked Singles
D1→1
A3→1
E4→8
F5→1
D7→8
I7→5
I9→3
19Naked Singles
A4→7
D5→5
D6→7
20Naked Singles
A1→8
B4→5
B5→8
I6→8
21Naked Singles
B1→7
I5→7
Solution
8
7
9
1
4
3
2
5
6
6
3
4
2
5
9
7
8
1
1
2
5
6
7
8
3
4
9
7
5
1
3
8
4
9
6
2
2
8
6
5
9
1
4
3
7
4
9
3
7
2
6
5
1
8
3
4
2
8
6
7
1
9
5
5
1
8
9
3
2
6
7
4
9
6
7
4
1
5
8
2
3
60
Hardest technique: Naked Pair
Full solving path
01Naked Singles
D7→1
02Hidden Singles
B7→2
D1→4
H5→4
F6→4
E7→7
H8→7
C6→8
03Hidden Singles
C5→2
B8→3
I7→4
04Hidden Singles
A6→3
C2→6
05Naked Singles
A2→4
06Naked Singles
A9→9
07Naked Singles
A1→2
B9→4
08Naked Singles
A3→7
09Hidden Singles
H2→3
B6→7
F7→9
10Naked Singles
H7→8
11Naked Singles
G7→3
12Hidden Singles
I4→3
G4→8
13Naked Pair
Naked Pair 3/9 on cells C1 and C3:
Remove 9 from B3
14Naked Pair
Naked Pair 6/9 on cells B4 and H4:
Remove 6 from D4
Remove 6 from E4
15Hidden Singles
D8→6
16Naked Singles
G8→9
17Naked Singles
I8→5
18Naked Singles
I9→1
19Naked Singles
I1→9
G9→6
20Naked Singles
C1→3
G5→1
21Naked Singles
C3→9
E5→6
H6→6
22Naked Singles
H4→9
B5→9
E6→1
23Naked Singles
E1→5
B4→6
24Naked Singles
H1→1
F2→1
D3→2
E4→2
E9→8
25Naked Singles
B2→5
E3→3
F3→8
H3→5
D4→5
F9→5
26Naked Singles
B3→1
Solution
2
8
3
4
5
6
7
1
9
4
5
6
7
9
1
2
3
8
7
1
9
2
3
8
4
5
6
1
6
4
5
2
7
8
9
3
5
9
2
8
6
3
1
4
7
3
7
8
9
1
4
5
6
2
6
2
5
1
7
9
3
8
4
8
3
1
6
4
2
9
7
5
9
4
7
3
8
5
6
2
1
Also in your companion
Bonus strategy tutorials Coming soon
Step-by-step examples for when you're ready to go beyond the basics.
Intermediate and advanced techniques
When you're ready to progress, start with the Beyond the basics section of our How to Play guide.