Algorithm for a logical grids game

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Description

Experience Level: Intermediate
Hi,
I'm a company of pedagogical game and I'd like to have a small software of generation of logical grids.
i send 4 pictures for the 4 pages of the software (in jpg).

Page 1
I choose my grid and create the empty grid : size, number of columns and rows
I can save the empty grid if I want

page 2
I create the pieces by filling the grid with colors. So for my own example you have 8 pieces (which countains 3 to 5 squares).

Page 3 : if I want, I can put no piece on the grid. So the generator will create thousands of grids where all the pieces are mixed, no piece is always at the same place.
Challenge : the grid must be full, no piece can have a square outside the grid.

if I need, for other challenges, I can put 1, 2, 3 pieces or more in the grid and launch the search. For this search, the static pieces will be at the same place for every grids.

Page 4
The generated grids appears, by 16 the page
At the end, I choose the grids I need and save, print them.

Do you think you cold do that ?
What would be the price ?

Best wishes

François Petit

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