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← Reasoning

Optimization

6 reasoning problems in this domain. Each starts from a depth archetype and bridges toward a competition type.

Compare path lengths by counting units Length as Sum of Parts with Unit Matching → Path Length Comparison & Shortest Path
Ruler with erased marks Length as Sum of Parts with Unit Matching → Small-Domain Constrained Search
Measure a target in fewest pourings Work Backwards to Recover a Start Value → Branching State Enumeration
Divide a circle into min or max regions Generalize a Growing Pattern into a Rule → Lattice / Grid Pattern from Small Cases
Plan the most efficient route Length as Sum of Parts with Unit Matching → Path Length Comparison & Shortest Path
Place digit cards to maximize or minimize a result Build the Largest or Smallest Value from Digit Cards → Branching State Enumeration