Constraint-satisfaction problem
A constraint-satisfaction problem is a problem defined by variables, domains of possible values, and constraints, with the goal of finding an assignment that satisfies the constraints.
Classic Computer Science Problems in Swift: Essential techniques for practicing programmers
A constraint-satisfaction problem is a problem defined by variables, possible values for those variables, and constraints restricting compatible assignments.
- How it is used
- Frames scheduling, puzzles, placement, and coloring as problems solved by reusable backtracking search.
- How deep it goes
- Explains modeling, custom constraints, recursive search, and several implementations, while deferring advanced heuristics and optimization details.
- Examples
- Uses meeting scheduling, Australian map coloring, eight queens, word search, and SEND+MORE=MONEY.
- What you can do after
- Builds Swift CSP solvers by defining domains, implementing constraints, and running generic backtracking search.
Optimization Algorithms: AI techniques for design, planning, and control problems
A constraint-satisfaction problem is a problem formulation whose goal is to find an assignment satisfying a specified set of constraints without requiring an explicit objective function.
- How it is used
- Frames search tasks around satisfying constraints rather than optimizing an explicit objective.
- How deep it goes
- Defines feasibility, works through 7-queens iterations, and supplies Python components for tabu-search implementation.
- Examples
- Uses 4-queens and 7-queens boards, collision counts, queen orderings, candidate swaps, figures, and Python listings.
- What you can do after
- Apply it via tabu search and Python by representing states, measuring constraint violations, filtering moves, and tracking improvements.
Related concepts
- n-queens problemincludes · The n-queens problem is the puzzle of placing n queens on an n-by-n chessboard so that no two queens attack each other.
- Sudoku puzzleused by · A Sudoku puzzle is a number-placement constraint puzzle in which each row, column, and designated region contains each permitted symbol exactly once.
- constraintuses · A constraint is a condition or rule that restricts the permissible states, values, actions, or solutions in a system or problem.
- mathematical variablehas part · A mathematical variable is a symbol or quantity representing a value or attribute that can vary or be determined within a defined domain.
- domainhas part · A domain is a set of values, such as values allowed for a variable or accepted as inputs to a function.
- cryptarithmetic puzzleused by · A mathematical puzzle in which letters represent digits and an arithmetic statement must be made true subject to digit-assignment constraints.
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