Kakuro Light
What do you get when you mix the logic of sudoku with the cluesolving challenge of a crossword? Kakuro Light is Conceptis Puzzles' latest entry in their miniature puzzle series, but don't let the tiny package fool you. These puzzles really add up to a tricky challenge!
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Kakuro Tips:

One important tip for quickly solving Kakuro puzzles is to remember minimum and maximum values for strings of numbers of a certain length. For example, if a string is two digits long, and has a target sum of 3, you know the numbers in that string must be 1 and 2 in some order. Similarly, if the target sum is 4, the numbers must be 1 and 3 (2 and 2 would be illegal). On the other end of the spectrum, if a string of two numbers has a target sum of 17, you know it must contain a 9 and 8, while a sum of 16 must have 9 and 7. For a full list of sums you can automatically assume, click this spoiler tag:
For a twobox string:

3 = 1+2

4 = 1+3

17 = 9+8

16 = 9+7
For a threebox string:

6 = 1+2+3

7 = 1+2+4

24 = 7+8+9

23 = 6+8+9
For a fourbox string:

10 = 1+2+3+4

11 = 1+2+3+5

30 = 6+7+8+9

29 = 5+7+8+9
For a fivebox string (getting the hang of this yet?):

15 = 1+2+3+4+5

16 = 1+2+3+4+6

35 = 5+6+7+8+9

34 = 4+6+7+8+9
For a sixbox string:

21 = 1+2+3+4+5+6

22 = 1+2+3+4+5+7

39 = 4+5+6+7+8+9

38 = 3+5+6+7+8+9
For a sevenbox string:

28 = 1+2+3+4+5+6+7

29 = 1+2+3+4+5+6+8

42 = 3+4+5+6+7+8+9

41 = 2+4+5+6+7+8+9
For an eightbox string: Rather than typing out every combination, here's the trick to use here: Take a look at the target sum, and subtract it from 45 (which is the sum of all of the digits from 1 to 9). Whatever the difference is is the number to omit from your string. For example, if the sum is 43, your string is 1+3+4+5+6+7+8+9, omitting the 2.
For a ninebox string: USE ALL THE NUMBARS! (It's best if you imagine a stickfigure version of me waving a 9 in the air as I shout that.)

Look for spots where any of the given patterns cross as starting points. For example, if you see two strings of two boxes with the sums of 16 and 17 intersect, you know the shared box has a 9.

Even without using the above list of givens, you can also make good progress by looking for the intersections of high and low sums. For example, if you see two strings of two boxes with the sums 14 and 6 intersect, you know the shared box has a 5, because it's the highest possible digit for the sum of 6, and also the lowest possible digit for the sum of 14.

Don't forget to eliminate possibilities! If you click the smaller shaded box in each square, you can write a small number in the box to remind you of what's possible in that square or not.

Don't be afraid of goodoldfashioned trial and error! Again, use the tiny numbers to assist you on guesswork.
Kakuro Light Solutions
Levels 1 (8x8)
Puzzle 1:
Puzzle 2:
Puzzle 3:
Puzzle 4:
Puzzle 5:
Puzzle 6:
Puzzle 7:
Puzzle 8:
Puzzle 9:
Puzzle 10:
Level 2 (9x9)
Puzzle 1:
Puzzle 2:
Puzzle 3:
Puzzle 4:
Puzzle 5:
Puzzle 6:
Puzzle 7:
Puzzle 8:
Puzzle 9:
Puzzle 10:
Level 3 (10x10)
Puzzle 1:
Puzzle 2:
Puzzle 3:
Puzzle 4:
Puzzle 5:
Puzzle 6:
Puzzle 7:
Puzzle 8:
Puzzle 9:
Puzzle 10:
Walkthrough Guide
(Please allow page to fully load for spoiler tags to be functional.)
Kakuro Tips:
One important tip for quickly solving Kakuro puzzles is to remember minimum and maximum values for strings of numbers of a certain length. For example, if a string is two digits long, and has a target sum of 3, you know the numbers in that string must be 1 and 2 in some order. Similarly, if the target sum is 4, the numbers must be 1 and 3 (2 and 2 would be illegal). On the other end of the spectrum, if a string of two numbers has a target sum of 17, you know it must contain a 9 and 8, while a sum of 16 must have 9 and 7. For a full list of sums you can automatically assume, click this spoiler tag:
For a twobox string:
3 = 1+2
4 = 1+3
17 = 9+8
16 = 9+7
For a threebox string:
6 = 1+2+3
7 = 1+2+4
24 = 7+8+9
23 = 6+8+9
For a fourbox string:
10 = 1+2+3+4
11 = 1+2+3+5
30 = 6+7+8+9
29 = 5+7+8+9
For a fivebox string (getting the hang of this yet?):
15 = 1+2+3+4+5
16 = 1+2+3+4+6
35 = 5+6+7+8+9
34 = 4+6+7+8+9
For a sixbox string:
21 = 1+2+3+4+5+6
22 = 1+2+3+4+5+7
39 = 4+5+6+7+8+9
38 = 3+5+6+7+8+9
For a sevenbox string:
28 = 1+2+3+4+5+6+7
29 = 1+2+3+4+5+6+8
42 = 3+4+5+6+7+8+9
41 = 2+4+5+6+7+8+9
For an eightbox string: Rather than typing out every combination, here's the trick to use here: Take a look at the target sum, and subtract it from 45 (which is the sum of all of the digits from 1 to 9). Whatever the difference is is the number to omit from your string. For example, if the sum is 43, your string is 1+3+4+5+6+7+8+9, omitting the 2.
For a ninebox string: USE ALL THE NUMBARS! (It's best if you imagine a stickfigure version of me waving a 9 in the air as I shout that.)
Look for spots where any of the given patterns cross as starting points. For example, if you see two strings of two boxes with the sums of 16 and 17 intersect, you know the shared box has a 9.
Even without using the above list of givens, you can also make good progress by looking for the intersections of high and low sums. For example, if you see two strings of two boxes with the sums 14 and 6 intersect, you know the shared box has a 5, because it's the highest possible digit for the sum of 6, and also the lowest possible digit for the sum of 14.
Don't forget to eliminate possibilities! If you click the smaller shaded box in each square, you can write a small number in the box to remind you of what's possible in that square or not.
Don't be afraid of goodoldfashioned trial and error! Again, use the tiny numbers to assist you on guesswork.
Posted by: Steve  September 14, 2011 10:23 AM
Kakuro Light Solutions
Levels 1 (8x8)
Puzzle 1:
Screen shot
Puzzle 2:
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Puzzle 3:
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Puzzle 4:
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Puzzle 5:
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Puzzle 6:
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Puzzle 7:
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Puzzle 8:
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Puzzle 9:
Screen shot
Puzzle 10:
Screen shot
Level 2 (9x9)
Puzzle 1:
Screen shot
Puzzle 2:
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Puzzle 3:
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Puzzle 4:
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Puzzle 5:
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Puzzle 6:
Screen shot
Puzzle 7:
Screen shot
Puzzle 8:
Screen shot
Puzzle 9:
Screen shot
Puzzle 10:
Screen shot
Level 3 (10x10)
Puzzle 1:
Screen shot
Puzzle 2:
Screen shot
Puzzle 3:
Screen shot
Puzzle 4:
Screen shot
Puzzle 5:
Screen shot
Puzzle 6:
Screen shot
Puzzle 7:
Screen shot
Puzzle 8:
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Puzzle 9:
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Puzzle 10:
Screen shot
Posted by: Steve  September 14, 2011 10:29 AM