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League optimizers 2018th

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Post  Admin 2nd March 2018, 00:55

League optimizers 2018th - Page 5 Double10
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Post  Admin 2nd March 2018, 12:08

Objective: Put in blue cells at top numbers 1-6. This will give values to cells in third grid. In first grid put 2 big pentominoes by choice (it can not be "I"). Every pentomino segment take 4x4 cell area. In second grid put 2 sets of pentominoes. All pentominoes can be mirrored and rotated, and can touch only diagonally.


Calculation: Cell keeps its value if it is occupied in only one grid. If it is occupied in both grids value is multiplied by itself. Final result is sum of all this values from which is subtracted sum of all unused cells. Maximize final score.
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Post  Admin 2nd March 2018, 12:09

Zadatak: U plava polja na vrhu upišite brojeve od 1 do 6, čime će biti određena nominalna vrednost svakog polja u trećojmreži. U prvu mrežu ucrtajte 2 velika pentomina, po slobodnom izboru (osim "I"), tako da svako polje pentomina zauzima površinu 4x4, a u drugu mrežu smestite 2 seta pentomina. Sva pentomina se mogu rotirati i reflektovati, a smeju se dodirivati samo dijagonalno.

Obračun: Polja zauzeta samo u jednoj mreži zadržavaju svoju nominalnu vrednost, a vrednost polja zauzetih u obe mreže množi se sama sobom. Sve ove vrednosti se sabiraju, a rezultat se umanjuje za zbir neiskorišćenih polja. Maksimizujte konačni rezultat.
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Post  Admin 2nd March 2018, 12:28

Example solution - Primer rešenja
League optimizers 2018th - Page 5 Double11
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Post  Admin 18th March 2018, 20:15

Table for March Optimization

League optimizers 2018th - Page 5 Double12
Congratulations Milovan, Zoran and Zafer.  cheers


Last edited by Admin on 30th March 2018, 01:01; edited 1 time in total
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