Kakuro

Basic Rules and Kakuro Samples

Basic Rules
You can only use digits from 1 to 9.
You can only use the same digit once in a column or in a row.
The sum in a column must be equal to the number represented at the beginning (at the top square for vertical columns and at the left for horizontal ones).
You can only write in blank squares.

Kakuro Samples
Printable document with ten Kakuro Puzzles and solutions. All puzzles courtesy of Jim Bumgardner - www.krazydad.com. Email dated April 25 2009.

File Type: application/octet-stream: 557 K

The puzzle

The original puzzle.

Step 1

In the example 3 from c1 can be 3=2+1 or 3=1+2, because you can only use digits from 1 to 9 the only valid solution is 11=9+2, so b2=9, c2=2, b3=7 & c3=1. (a2=b2+c2=9+2=11)

Step 2

In the example 4 from d2 can be 4=3+1 or 3=1+3, because you can only use digits from 1 to 9 the only valid solution is 11=8+3, so e2=1, f2=3, f3=8. (f1=f2+f3=3+8=11)

Step 3

In the example 3 from g5 can be 3=2+1 or 3=1+2, because you can only use the same digit once in a columb the only valid solution is 4=3+1, so g6=2, g7=1, f6=4 & f7=3 (g5=g6+g7; f5=f6+f7 & e7=f7+g7)

Step 4

In the example 3 from c5 can be 3=2+1 or 3=1+2, because 2 was used in the same colum (g6), the only valid colution is 3=1+2, so c6=1, c7=2 & d7=6. (c5=c6+c7 & b7=c7+d7)

Step 5

In the 6th column 21-(1+4+2)=14; 14=5+9=6+8; 16=1+2+4+6 => 14=6+8 => 16=8+6. d6=8, e6=6.

Step 6

27-(7+1+8)=27-16=11; 11=2+9(can't be because of row 6)=3+8(8 apears in column 3)=4+7(7 apears in column 3)=5+6(6 apears in line d)=9+2 => d3=9, e3=9.

Step 7 - The Solution

d4=7, d5=1, e4=3, e5=4.

Citations

• http://www.krazydad.com/kakuro

  Eleven Kakuro Puzzles and solutions allowed to be used by Jim Bumgardner. Email dated April 25 2009.