      5   1 
        
 3        
   1    2   
       6  
4     3     
     8    4 
       9  
 5        2 
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?
I named the columns AI from left to right, and the rows 19 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.
Topright 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 + topleft 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
Middleright grid + 4s in A6, E5, I7 = H4 is a 4
Middleleft 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
Middleright grid + 8s in B6 and D5 = I4 is an 8
Middleright 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
Topright grid + 3s in G7 and I5 = H1 is a 3
Top gray cage + 3s in H1, B3, E6 = F2 is a 3
Middleleft grid + 3s in A9, B3, I5 = C4 is a 3
Bottommiddle grid + 3s in A9, G7, E6, F2 = D8 is a 3
Middleleft grid + 5s in B9, C3, F4 = A5 is a 5
Light yellow cage + 5 in B9 = I8 is a 5
Middleright grid + 5s in G1 and I8 = H6 is a 5
Top gray cage + 5s in G1 and C3 = E2 is a 5
Bottommiddle grid + 5s in B9, I8, E2 = D7 is a 5
Topmiddle grid + 8s in A1, D5, F7 = E3 is an 8
Topmiddle grid + 1s in D4 and I1 = F3 is a 1
Topleft grid + 1s in I1, F3, C6 = A2 is a 1
Row 2 + 2s in D6 and H3 = C2 is a 2
Middleleft grid + 2s in C2 and G4 = B5 is a 2
Bottomright grid + 6 in H5 = G9 is a 6
/ diagonal + 7 in B2 and 9 in H8 = B8 is a 6
Bottommiddle grid + 6s in B8 and G9 = E7 is a 6
Middleleft + 6s in B8 and H5 = A4 is a 6
Topleft grid + 6s in A4 and B8 = C1 is a 6
Pink cage + 6s in C1 and A4 = D2 is a 6
Topright grid + 6s in D2 and G9 = I3 is a 6
Middleleft 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
Middleright grid + 7 in G3 = I6 is a 7
Middleleft grid + only B4 is unfilled = B4 is a 9
Center grid + only F5 is unfilled = F5 is a 9
Middleright grid + only G6 is unfilled = G6 is a 9
/ diagonal + only C7 is unfilled = C7 is a 9
Topleft grid + 9 in B4 = A3 is a 9
Topright grid + 9 in G6 = I2 is a 9
Topleft grid + only B1 is unfilled = B1 is a 4
Bottomleft grid + 4s in A6 and B1 = C8 is a 4
Topright grid + only G2 is unfilled = G2 is a 4
Row 3 + only D3 is unfilled = D3 is a 4
Bottommiddle grid + 4s in D3, E5, C8 = F9 is a 4
Column B + only B7 is unfilled = B7 is a 1
Bottomright grid + 1 in B7 = H9 is a 1
Bottommiddle grid + 1s in H9 and F3 = E8 is a 1
Row 7 + only A7 is unfilled = A7 is a 2
Bottommiddle grid + 2 in I9 = F8 is a 2
Topmiddle grid + 2s in D6 and F8 = E1 is a 2
Bottomleft grid + only A8 is unfilled = A8 is a 7
Bottomright grid + only H7 is unfilled = H7 is a 7
Bottommiddle grid + 7 in E4 = D9 is a 7
Column F + only F1 is unfilled = F1 is 7
Topmiddle grid + only D1 is unfilled = D1 is a 9
Bottommiddle 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 20061108 19:10:56 