Issue 6 
Season 1. May 31,2005
13. Vertical sums (7)
Write in the table numbers from 1 to 19, placing each next number to the right in the same row, or somewhere in the next row. Twodigit numbers must be written in two neighbouring cells. Numbers cannot touch each other by the sides of cells they're in. Numbers at bottom of the grid show the sums of digits in corresponding columns.
| 7 | 12 | 13 | 4 | 13 | 7 | 17 | 2 | 14 | 11 |
|---|
Example:
| 1 | 2 | 3 | |||
| 4 | 5 | 6 | |||
| 7 | 8 | ||||
| 9 | 1 | 0 | |||
| 1 | 1 | ||||
| 1 | 2 | 1 | 3 | ||
| 9 | 15 | 11 | 6 | 5 | 9 |
|---|
Answer key: write down the content of column, holding "0", working downwards, replacing the empty cells with "-".
For the example the answer would be: -6-0-3.
| 1 | 2 | 3 | 4 | ||||||
| 5 | 6 | 7 | |||||||
| 8 | 9 | ||||||||
| 1 | 0 | 1 | 1 | ||||||
| 1 | 2 | ||||||||
| 1 | 3 | 1 | 4 | ||||||
| 1 | 5 | ||||||||
| 1 | 6 | 1 | 7 | ||||||
| 1 | 8 | 1 | 9 | ||||||
| 7 | 12 | 13 | 4 | 13 | 7 | 17 | 2 | 14 | 11 |
|---|
Answer: -6-0-1-6-
14. Rotlections (8 and less)
Cut the table along vertical and horisontal grid lines onto some symmetrical pieces, so that after rotation and/or refl ections of all those pieces they stayed in their places and formed single closed painted stripe, not touching itself, bordered only by vertical and diagonal grid lines.
Example:
Answer key: describe the table row by row, from top to bottom, replacing the cells, occupied with the same pieces, by the same letters.
For example the answer would be: AAAAAA, AAAAAA, BBBBAA, BCCCAA, BCCCAA, BCCCAA. Solution with the smallest number of pieces will bring 8 points, second best solution will bring 5 points, third best - 2 points.
Answer: AAAABCCC, ADDCCCCC, ADECCCDD, ADEEDDDD, FDDEDGDD, FDDDDGGD, FDDGGGGD, FFFFGGDD
15. 1-2-3 (8 and less)
Draw the closed single loop, not touching itself, using only 4 shown elements, which can be rotated, but cannot be refl ected. The loop must begin and end in pointed knot. Elements cannot overlap. Each use of digit-formed element adds the corresponding value (1, 2 or 3) to your total. First use of short element reduces your total by 1, second - by 2 and so on. Maximize your total.
 |
 |
Example:
Answer key: fi rst write down your total, followed by digital sequence starting from point. Replace short elements by "-".
For example the answer would be: 10: 233--311. Best answer brings 8 points; each next answer will bring one point less.
Frederic Gloannec's solution: 48: 313133111133311233213113
