From e832d4c2b0cfef2903b5b5f8ddaa63935dc2de13 Mon Sep 17 00:00:00 2001 From: diegomatos Date: Sat, 30 Nov 2024 20:43:53 -0300 Subject: [PATCH] =?UTF-8?q?Adicionando=20projeto=20final=20de=20programa?= =?UTF-8?q?=C3=A7=C3=A3o=20linear?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../trabalho-final/.gitignore | 1 + .../trabalho-final/MastermindSolver.py | 73 ++++++++++++++++++ .../trabalho-final/app.py | 7 ++ .../images/exemplo-modelagem.png | Bin 0 -> 45174 bytes .../trabalho-final/images/exemplo1.jpg | Bin 0 -> 95803 bytes .../trabalho-final/images/exemplo2-2.jpg | Bin 0 -> 39112 bytes .../trabalho-final/images/exemplo2-3.jpg | Bin 0 -> 93281 bytes .../trabalho-final/images/exemplo2.jpg | Bin 0 -> 97061 bytes .../trabalho-final/readme.md | 30 +++++++ .../trabalho-final/referencias.txt | 3 + .../trabalho-final/requirements.txt | 1 + 11 files changed, 115 insertions(+) create mode 100644 programacao-linear-2024-02/trabalho-final/.gitignore create mode 100644 programacao-linear-2024-02/trabalho-final/MastermindSolver.py create mode 100644 programacao-linear-2024-02/trabalho-final/app.py create mode 100644 programacao-linear-2024-02/trabalho-final/images/exemplo-modelagem.png create mode 100644 programacao-linear-2024-02/trabalho-final/images/exemplo1.jpg create mode 100644 programacao-linear-2024-02/trabalho-final/images/exemplo2-2.jpg create mode 100644 programacao-linear-2024-02/trabalho-final/images/exemplo2-3.jpg create mode 100644 programacao-linear-2024-02/trabalho-final/images/exemplo2.jpg create mode 100644 programacao-linear-2024-02/trabalho-final/readme.md create mode 100644 programacao-linear-2024-02/trabalho-final/referencias.txt create mode 100644 programacao-linear-2024-02/trabalho-final/requirements.txt diff --git a/programacao-linear-2024-02/trabalho-final/.gitignore b/programacao-linear-2024-02/trabalho-final/.gitignore new file mode 100644 index 0000000..f7275bb --- /dev/null +++ b/programacao-linear-2024-02/trabalho-final/.gitignore @@ -0,0 +1 @@ +venv/ diff --git a/programacao-linear-2024-02/trabalho-final/MastermindSolver.py b/programacao-linear-2024-02/trabalho-final/MastermindSolver.py new file mode 100644 index 0000000..a11c124 --- /dev/null +++ b/programacao-linear-2024-02/trabalho-final/MastermindSolver.py @@ -0,0 +1,73 @@ +import pulp + +class MastermindSolver: + problem: pulp.LpProblem + x: list[list[pulp.LpVariable]] + tips: int = 0 + positions: range # Posições da senha + colors: range # Cores possíveis + colorMap: dict[int, str] = { + 0: "Vermelho", + 1: "Azul", + 2: "Amarelo", + 3: "Verde", + 4: "Rosa" + } + + def __init__(self, positionsLen: int = 4, colorsLen: int = 5) -> None: + self.problem = pulp.LpProblem("Mastermind_Solver", pulp.LpMinimize) + self.positions = range(positionsLen) + self.colors = range(colorsLen) + + # Variáveis de decisão: x[i][j] = 1 se a posição i tem a cor j, 0 caso contrário + self.x = [[pulp.LpVariable(f"x_{i}_{j}", cat="Binary") for j in self.colors] for i in self.positions] + + # Restrição 1: Cada posição tem exatamente uma cor + for i in self.positions: + self.problem += pulp.lpSum(self.x[i][j] for j in self.colors) == 1, f"One_Color_Per_Position_{i}" + + # Restrição 2: Cada cor aparece no máximo uma vez na senha + for j in self.colors: + self.problem += pulp.lpSum(self.x[i][j] for i in self.positions) <= 1, f"Unique_Color_{j}" + + def NewTip(self, guess: list[int], rightColors: int, blacks: int, whites: int) -> None: + self.problem +=( + pulp.lpSum( + self.x[i][j] + for i in self.positions + for j in guess + ) == rightColors + ) + + self.problem += ( + pulp.lpSum(self.x[i][guess[i]] for i in self.positions) == blacks, + f"Feedback_Black_{self.tips}", + ) + + self.problem += ( + pulp.lpSum( + self.x[i][j] + for i in self.positions + for j in self.colors + if j in guess and j != guess[i] + ) + == whites, + f"Feedback_White_{self.tips}", + ) + + self.tips += 1 + + def Run(self) -> None: + # Função objetivo arbitrária (queremos apenas satisfazer as restrições) + self.problem += 0, "Objective" + + # Resolver o problema + self.problem.solve() + + # Mostrar os resultados + if pulp.LpStatus[self.problem.status] == "Optimal": + solution = [[int(self.x[i][j].varValue) for j in self.colors] for i in self.positions] + senha = [self.colorMap[self.colors.index(row.index(1))] for row in solution] + print("Solução encontrada (índices das cores):", senha) + else: + print("Nenhuma solução encontrada.") diff --git a/programacao-linear-2024-02/trabalho-final/app.py b/programacao-linear-2024-02/trabalho-final/app.py new file mode 100644 index 0000000..bf7a42c --- /dev/null +++ b/programacao-linear-2024-02/trabalho-final/app.py @@ -0,0 +1,7 @@ +from MastermindSolver import MastermindSolver + +solver = MastermindSolver(colorsLen=5) +solver.NewTip([0, 1, 2, 3], 3, 2, 1) +solver.NewTip([0, 1, 3, 4], 4, 1, 3) +solver.NewTip([0, 3, 1, 4], 4, 0, 4) +solver.Run() \ No 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diff --git a/programacao-linear-2024-02/trabalho-final/readme.md b/programacao-linear-2024-02/trabalho-final/readme.md new file mode 100644 index 0000000..2c226a5 --- /dev/null +++ b/programacao-linear-2024-02/trabalho-final/readme.md @@ -0,0 +1,30 @@ +# Trabalho final - Programação Linear + +Programação de um solver para o jogo Senha (do ingles, Mastermind) usandno Programação Linear Inteira + +## Introdução + +## Modelagem + +## Como rodar o projeto + +Considerando que o python3 esteja instalado: + +Passo 1: Crie e inicialize um ambiente virtual + +``` + pythom -m venv venv + .\venv\Scripts\activate.bat +``` + +Passo 2: Instale as dependencias + +``` + pip install -r requirements.txt +``` + +Passo 3: Configure o arquivo app.py com o estado (dicas) de seu jogo + +Passo 4: Execute o arquivo app.py para executar o solver e receber a melhor jogada a ser feita + +## Referencias diff --git a/programacao-linear-2024-02/trabalho-final/referencias.txt b/programacao-linear-2024-02/trabalho-final/referencias.txt new file mode 100644 index 0000000..ea259ea --- /dev/null +++ b/programacao-linear-2024-02/trabalho-final/referencias.txt @@ -0,0 +1,3 @@ +- https://www.ufrgs.br/espmat/disciplinas/novas_abordagens/2009/modulo_II/proposta_IIc.htm +- https://magisterrex.wordpress.com/wp-content/uploads/2014/07/mastermindrules.pdf +- https://en.wikipedia.org/wiki/Mastermind_(board_game) diff --git a/programacao-linear-2024-02/trabalho-final/requirements.txt b/programacao-linear-2024-02/trabalho-final/requirements.txt new file mode 100644 index 0000000..1335e9b --- /dev/null +++ b/programacao-linear-2024-02/trabalho-final/requirements.txt @@ -0,0 +1 @@ +pulp==2.9.0