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map-optimization-strategy

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Strategy for solving constraint optimization problems on spatial maps. Use when you need to place items on a grid/map to maximize some objective while satisfying constraints.

tasks/civ6-adjacency-optimizer/environment/skills/map-optimization-strategy/SKILL.md

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# Map-Based Constraint Optimization Strategy

A systematic approach to solving placement optimization problems on spatial maps. This applies to any problem where you must place items on a grid to maximize an objective while respecting placement constraints.

## Why Exhaustive Search Fails

Exhaustive search (brute-force enumeration of all possible placements) is the **worst approach**:

- Combinatorial explosion: Placing N items on M valid tiles = O(M^N) combinations
- Even small maps become intractable (e.g., 50 tiles, 5 items = 312 million combinations)
- Most combinations are clearly suboptimal or invalid

## The Three-Phase Strategy
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