In the following grid, the numbers from 1 to 6 occur only once per row, per column, or per colored rectangle. Given the relations between numbers and a single number to get you started, can you complete the grid?
             
  >   >     <   <    
 v   ^   v   ^   ^   ^   
  <   >     >   <    
             
  <   >     <   >  3   
 v   v   ^   ^   v   ^   
  >   <     >   <    
             
  <   <     <   >    
 ^   v   ^   v   v   ^   
  >   <     <   >    
             
I played "Find the Ones" and:
 there's one in the first row, 4th column
 hence there's one in the 5th row, 6th column (the other possibility in
that rectangle would be the 6th row, 4th column, but that isn't allowed)
 hence there's one in the 6th row, 2nd column
 hence there's one in the 3rd row, 3rd column
 hence there's one in the 2nd row, 1st column
 the last one is in the 5th row, 5th column.
Now for the twos:
 there's one in the 3rd row, 4th column
 there's one in the 1st row, 5th column
 hence the one in the 6th column is in the 6th row
 hence there's one in the 5th row, 1st column
 hence there's one in the 4th row, 2nd column
 hence the one in the 3rd column is in the 2nd row
The threes (and let's write a little less):
 6th row, 4th column
 2nd row, 5th column
 1st row, 3rd column
 4th row, 1st column
 5th row, 2nd column
The fours:
 1st row, 2nd column
 2nd row, 4th column
 6th row, 5th column
 5th row, 3rd column
 3rd row, 1st column
 4th row, 6th column
The fives:
 1st row, 6th column
 5th row, 4th column
 3rd row, 5th column
 4th row, 3rd column
 6th row, 1st column
 2nd row, 2nd column
And the sixes go in the remaining cells! Whew!!

Posted by e.g.
on 20070715 15:38:29 