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The numbers 1 to 9 are to be placed once in every row, column, long diagonal, 3x3 grid and irregular shape (or cage). From the given starters can you complete the puzzle?

 See The Solution Submitted by Josie Faulkner Rating: 4.2143 (14 votes) Comments: ( Back to comment list | You must be logged in to post comments.) Solution | Comment 11 of 15 | I named the columns A-I from left to right, and the rows 1-9 from top to bottom, for reference. To keep myself from getting TOO wordy, I'll be describing my process in the following shorthand:

Region to focus on + key cell values in surrounding area = conclusion.

Ok, here goes. The first group can all be figured out directly from the given information.

Top-right grid + dark blue 2 in G4 = H3 is a 2
Light blue cage + 4 in A6 = E5 is a 4
Red cage + 1 in I1 and 1 in D4 = G5 is a 1
Row 6 + light blue 8 in F7 = B6 is an 8
\ diagonal + top-left grid's 3 in B3 and center grid's 3 in E6 = G7 is a 3
Green cage + 8 in F7 = G8 is an 8

Middle-right grid + 4s in A6, E5, I7 = H4 is a 4
Middle-left grid + 1s in D4 and G5 = C6 is a 1
Light yellow cage + 8s in F7 and G8 = C9 is an 8
Row 6 + 2s in G4 and I9 = D6 is a 2
Row 6 + 6 in H5 = F6 is a 6
\ diagonal + 5s in B9 and G1 = C3 is a 5
\ diagonal + 8 in B6 = A1 is an 8
\ diagonal + only B2 is unfilled = B2 is a 7
Dark yellow cage + 8s in A1 and B6 = D5 is an 8
Middle-right grid + 8s in B6 and D5 = I4 is an 8
Middle-right grid + 3 in E6 = I5 is a 3
/ diagonal + 5s in B9 and G1 = F4 is a 5
/ diagonal + 8s in C9 and G8 = H2 is an 8
/ diagonal + 3s in B3 and G7 = A9 is a 3
Top-right grid + 3s in G7 and I5 = H1 is a 3
Top gray cage + 3s in H1, B3, E6 = F2 is a 3
Middle-left grid + 3s in A9, B3, I5 = C4 is a 3
Bottom-middle grid + 3s in A9, G7, E6, F2 = D8 is a 3
Middle-left grid + 5s in B9, C3, F4 = A5 is a 5
Light yellow cage + 5 in B9 = I8 is a 5
Middle-right grid + 5s in G1 and I8 = H6 is a 5
Top gray cage + 5s in G1 and C3 = E2 is a 5
Bottom-middle grid + 5s in B9, I8, E2 = D7 is a 5
Top-middle grid + 8s in A1, D5, F7 = E3 is an 8
Top-middle grid + 1s in D4 and I1 = F3 is a 1
Top-left grid + 1s in I1, F3, C6 = A2 is a 1
Row 2 + 2s in D6 and H3 = C2 is a 2
Middle-left grid + 2s in C2 and G4 = B5 is a 2
Bottom-right grid + 6 in H5 = G9 is a 6
/ diagonal + 7 in B2 and 9 in H8 = B8 is a 6
Bottom-middle grid + 6s in B8 and G9 = E7 is a 6
Middle-left + 6s in B8 and H5 = A4 is a 6
Top-left grid + 6s in A4 and B8 = C1 is a 6
Pink cage + 6s in C1 and A4 = D2 is a 6
Top-right grid + 6s in D2 and G9 = I3 is a 6
Middle-left grid + 7 in B2 = C5 is a 7
Center grid + 7 in C5 = E4 is a 7
/ diagonal + 7 in C5 = G3 is a 7
Middle-right grid + 7 in G3 = I6 is a 7
Middle-left grid + only B4 is unfilled = B4 is a 9
Center grid + only F5 is unfilled = F5 is a 9
Middle-right grid + only G6 is unfilled = G6 is a 9
/ diagonal + only C7 is unfilled = C7 is a 9
Top-left grid + 9 in B4 = A3 is a 9
Top-right grid + 9 in G6 = I2 is a 9
Top-left grid + only B1 is unfilled = B1 is a 4
Bottom-left grid + 4s in A6 and B1 = C8 is a 4
Top-right grid + only G2 is unfilled = G2 is a 4
Row 3 + only D3 is unfilled = D3 is a 4
Bottom-middle grid + 4s in D3, E5, C8 = F9 is a 4
Column B + only B7 is unfilled = B7 is a 1
Bottom-right grid + 1 in B7 = H9 is a 1
Bottom-middle grid + 1s in H9 and F3 = E8 is a 1
Row 7 + only A7 is unfilled = A7 is a 2
Bottom-middle grid + 2 in I9 = F8 is a 2
Top-middle grid + 2s in D6 and F8 = E1 is a 2
Bottom-left grid + only A8 is unfilled = A8 is a 7
Bottom-right grid + only H7 is unfilled = H7 is a 7
Bottom-middle grid + 7 in E4 = D9 is a 7
Column F + only F1 is unfilled = F1 is 7
Top-middle grid + only D1 is unfilled = D1 is a 9
Bottom-middle grid + only E9 is unfilled = E9 is a 9

Hopefully you were able to follow along with that. So the solution is

8 4 6   9 2 7   5 3 1
1 7 2   6 5 3   4 8 9
9 3 5   4 8 1   7 2 6

6 9 3   1 7 5   2 4 8
5 2 7   8 4 9   1 6 3
4 8 1   2 3 6   9 5 7

2 1 9   5 6 8   3 7 4
7 6 4   3 1 2   8 9 5
3 5 8   7 9 4   6 1 2

Time consuming but fun!

Edited on November 8, 2006, 7:16 pm
 Posted by nikki on 2006-11-08 19:10:56 Please log in:

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