B cannot be at (4,3) due to lack of vicinity from A.
B cannot be at (4,4) due to lack of vicinity from A.
B cannot be at (4,5) due to lack of vicinity from A.
C cannot be at (4,4) due to lack of vicinity from B.
C cannot be at (4,5) due to lack of vicinity from B.
D cannot be at (5,5) due to lack of vicinity from C.
E cannot be at (1,2) due to lack of vicinity from D.
E cannot be at (2,2) due to lack of vicinity from D.
E cannot be at (3,2) due to lack of vicinity from D.
D cannot be at (5,4) due to lack of vicinity from E.
F cannot be at (1,3) due to lack of vicinity from E.
F cannot be at (2,3) due to lack of vicinity from E.
G cannot be at (3,1) due to lack of vicinity from F.
G cannot be at (3,5) due to lack of vicinity from F.
F cannot be at (5,3) due to lack of vicinity from G.
H cannot be at (1,1) due to lack of vicinity from G.
H cannot be at (5,5) due to lack of vicinity from G.
J cannot be at (1,1) due to lack of vicinity from I.
I cannot be at (3,3) due to lack of vicinity from J.
I cannot be at (3,4) due to lack of vicinity from J.
I cannot be at (3,5) due to lack of vicinity from J.
M cannot be at (2,4) due to lack of vicinity from L.
M cannot be at (2,5) due to lack of vicinity from L.
L cannot be at (4,2) due to lack of vicinity from M.
L cannot be at (5,2) due to lack of vicinity from M.
N cannot be at (4,2) due to lack of vicinity from M.
N cannot be at (1,5) due to lack of vicinity from M.
M cannot be at (2,1) due to lack of vicinity from N.
O cannot be at (1,1) due to lack of vicinity from N.
O cannot be at (5,5) due to lack of vicinity from N.
P cannot be at (1,4) due to lack of vicinity from O.
O cannot be at (2,2) due to lack of vicinity from P.
Q cannot be at (5,2) due to lack of vicinity from P.
P cannot be at (2,4) due to lack of vicinity from Q.
P cannot be at (3,4) due to lack of vicinity from Q.
R cannot be at (1,5) due to lack of vicinity from Q.
R cannot be at (2,5) due to lack of vicinity from Q.
R cannot be at (3,5) due to lack of vicinity from Q.
Q cannot be at (5,3) due to lack of vicinity from R.
S cannot be at (1,5) due to lack of vicinity from R.
S cannot be at (2,5) due to lack of vicinity from R.
T cannot be at (4,2) due to lack of vicinity from S.
T cannot be at (3,3) due to lack of vicinity from S.
T cannot be at (1,5) due to lack of vicinity from S.
For T only (2,4) is possible.
S cannot be at (4,5) due to lack of vicinity from T.
S cannot be at (5,5) due to lack of vicinity from T.
U cannot be at (4,3) due to lack of vicinity from T.
U cannot be at (5,3) due to lack of vicinity from T.
V cannot be at (1,1) due to lack of vicinity from U.
V cannot be at (1,5) due to lack of vicinity from U.
U cannot be at (3,3) due to lack of vicinity from V.
Y cannot be at (4,4) due to lack of vicinity from X.
Y cannot be at (5,4) due to lack of vicinity from X.
X cannot be at (2,1) due to lack of vicinity from Y.
X cannot be at (2,2) due to lack of vicinity from Y.
The only letter that can be at (5,3) is D. Invalidating it for all other cells.
The only letter that can be at (1,5) is W. Invalidating it for all other cells.
The only letter that can be at (2,5) is X. Invalidating it for all other cells.
The only letter that can be at (3,5) is S. Invalidating it for all other cells.
The only letter that can be at (4,5) is R. Invalidating it for all other cells.
The only letter that can be at (5,5) is Q. Invalidating it for all other cells.
C cannot be at (4,1) due to lack of vicinity from D.
H cannot be at (4,4) due to lack of vicinity from I.
For N only (3,3) is possible.
For O only (4,4) is possible.
For P only (5,4) is possible.
V cannot be at (1,2) due to lack of vicinity from W.
V cannot be at (1,3) due to lack of vicinity from W.
The only letter that can be at (1,1) is K. Invalidating it for all other cells.
The only letter that can be at (2,1) is J. Invalidating it for all other cells.
The only letter that can be at (3,1) is I. Invalidating it for all other cells.
The only letter that can be at (4,1) is B. Invalidating it for all other cells.
The only letter that can be at (1,2) is L. Invalidating it for all other cells.
The only letter that can be at (3,2) is G. Invalidating it for all other cells.
The only letter that can be at (5,2) is E. Invalidating it for all other cells.
The only letter that can be at (1,3) is U. Invalidating it for all other cells.
The only letter that can be at (2,3) is M. Invalidating it for all other cells.
The only letter that can be at (3,4) is Y. Invalidating it for all other cells.
C cannot be at (4,3) due to lack of vicinity from B.
For C only (4,2) is possible.
For F only (4,3) is possible.
For H only (2,2) is possible.
For V only (1,4) is possible.
| X = 1 | X = 2 | X = 3 | X = 4 | X = 5 |
|   K   |   J   |   I   |   B   |   A   |
|   L   |   H   |   G   |   C   |   E   |
|   U   |   M   |   N   |   F   |   D   |
|   V   |   T   |   Y   |   O   |   P   |
|   W   |   X   |   S   |   R   |   Q   |