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These are puzzles similar to Kakuro, which is the creation of a friend of mine whom I met last year:

Partiti_1

Rules: Place one or more digits from 1 to 9 in arbitrary order in each empty cell, such that a number in the top left corner of each cell is the sum of digits entered in that cell. (A cell with no number in the corner still needs one or more digits, but you aren't told its sum.) Same digits cannot be placed in a single cell or in cells that touch, even diagonally.

Partiti: puzzles and partition, Thinh Van Duc Lai

Puzzle source: http://logicmastersindia.com/lmitests/dl.asp?attachmentid=710

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ABcDexter
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1 Answers1

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I think this works:

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How I solved it:

The top right gives some easy answers (1, 2, from there the three 4s). Then I simply checked the possibilities for adjacent cells, which were all solvable on their own when done in the right order.

Lolgast
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  • That's correct but also fill the centre :) – ABcDexter Mar 02 '18 at 08:28
  • @ABcDexter Ah, I presumed since it was empty I shouldn't fill anything in. Does it mean I can fill in anything (non-zero) instead? – Lolgast Mar 02 '18 at 08:29
  • Well, if you look at the eight adjacent cells then there is only one value which goes in there, which is 9. – ABcDexter Mar 02 '18 at 08:36
  • @ABcDexter Yeah I noticed that. My question was intended more in the direction of "Can I have any sum I want, as long as the adjacent cell rules are satisfied?" to which the answer, if I understand correctly, is yes. – Lolgast Mar 02 '18 at 08:37
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    Btw, nice puzzle! Haven't seen it before (though I have done kakuro's) – Lolgast Mar 02 '18 at 08:38
  • @Lolgast You even have to place a number since the first rule states that each cell has to have at least one digit in it. – w l Mar 02 '18 at 09:00
  • @wl Well, yeah, but it also says the sum of digits should be equal to the number in the top left corner. The absence of one for the center cell left me a bit confused. – Lolgast Mar 02 '18 at 09:01
  • @Lolgast I read "a number in the corner is..." as: "If there is a number in the corner, it has to equal the sum" – w l Mar 02 '18 at 09:04