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z3pe68's Introduction

z3PE68

Basically a magic tile problem, I thought, why not try this in z3? Here I am.

How it works

  • Create Ints for all places on the 5-gon
  • Constraint them 1-10 (20 constraints)
  • Create an extra Int 's'
  • Enforce equality of group sums against 's' (5 constraints)
  • Constraint 's' from 6-27 or known value (2 or 1 constraints)
  • Maximize the objective function which returns the minimum string

The objective function

The objective function simply computes all digit strings possible and selects the minimum out of them.

Inference

Evaluate the objective function over the model and add 1 to all of digits ensuring that 9 gets replaced with "10" instead of a carryover happening


If this solution helped you with your z3 formulation then a star would be appreciated (It's 6 am rn)

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