Kakuro puzzles are regular features in many math-and-logic puzzle publications across the world. The objective of the puzzle is to insert a digit from 1 to 9 inclusive into each white cell so that the sum of the numbers in each entry matches the clue associated with it and that no digit is duplicated in any entry.
How do you solve difficult Kakuro puzzles?
The traditional way to solve a Kakuro puzzle is incremental: by using the existing information on the board, you can find with certainty the value of a specific cell which can take only one possible value. Then that value is filled and the process is repeated until all the board cells have been discovered.
What is a cross sum?
The cross sum is the sum of all single numbers. For example the cross sum of 12 is 1+2=3.
How do you get good at kakuro?
Kakuro tips
- Start with the short blocks and then move to the longer ones.
- Look for magic-blocks.
- Study the magic-blocks table and try to use it as much as possible.
- Make small pencilmarks noting which numbers are allowed in the empty squares.
- Always double check before placing a number.
- Never guess!
How do you sum digits in Excel?
Summing the Digits of a Number
- Start Excel 2000.
- Type 123456 in cell A10.
- Type the following formula in cell B10: =SUM(VALUE(MID(A10,ROW(A1:OFFSET(A1,LEN(A10)-1,0)),1)))
- Press CTRL+SHIFT+ENTER to enter the formula as an array formula.
- The formula returns the value 21.
Where can I find free cross sum puzzles?
freexsums.com provides free Cross Sums puzzles. These puzzles, also known as Crossums, Sum Totals and Kakuro, are entertaining and educational. Enjoy a new puzzle every day. Printable Solution
When do you use all digits in a cross sum?
When number of boxes is less or equal to 7, each number of boxes have 4 deterministic combinations. When number of boxes is 8, there are 9 combinations. When number of boxes is 9, there is 1 combination (sum from 1 to 9). In the case of 9 boxes, you have to use all digits (9 kinds).
Which is the most important strategy in Cross Sums?
Cross Sums (Kakkuro) Fundamental Strategy The most important thing is the relation between the number of small boxes and the sum of these boxes. If the sum of 2 boxes is 3, then the only combination is 1+2. You have to remember the all deterministic combinations. The following table contaions all deterministic combinations.
Which is the only combination in a vertical sum?
Horizontal: sum of 2 boxes is 18, the only combination is 8+9. Vertical: sum of 2 boxes is 16, the only combination is 7+9. The common number is 9. 4 This is a little difficult. Horizontal: sum of 4 boxes is 10, the only combination is 1+2+3+4. Vertical: sum of 4 boxes is 34, the only combination is 4+6+7+8+9.