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"solution_count": 24 }, + { "x": [2, 2], "y": [1, 2], "z": [2, 3], "solution_count": 24 }, + { "x": [2, 2], "y": [1, 2], "z": [2, 4], "solution_count": 7 }, + { "x": [2, 2], "y": [1, 2], "z": [3, 0], "solution_count": 10 }, + { "x": [2, 2], "y": [1, 2], "z": [3, 1], "solution_count": 3 }, + { "x": [2, 2], "y": [1, 2], "z": [3, 2], "solution_count": 4 }, + { "x": [2, 2], "y": [1, 2], "z": [3, 3], "solution_count": 3 }, + { "x": [2, 2], "y": [1, 2], "z": [3, 4], "solution_count": 10 }, + { "x": [2, 2], "y": [1, 2], "z": [4, 0], "solution_count": 13 }, + { "x": [2, 2], "y": [1, 2], "z": [4, 1], "solution_count": 11 }, + { "x": [2, 2], "y": [1, 2], "z": [4, 2], "solution_count": 10 }, + { "x": [2, 2], "y": [1, 2], "z": [4, 3], "solution_count": 11 }, + { "x": [2, 2], "y": [1, 2], "z": [4, 4], "solution_count": 13 } +] diff --git a/iq_mini_4489/src/solver.py b/iq_mini_4489/src/solver.py index 0868376..caf6391 100644 --- a/iq_mini_4489/src/solver.py +++ b/iq_mini_4489/src/solver.py @@ -3,8 +3,10 @@ from board import Board, generate_orientations from typing import Tuple, List import pieces +import sys import numpy as np import colorama +import hashlib def backtrack(board: Board, pieces_list: List[str], piece_index: int, orientations: dict, solutions: List[np.ndarray]) -> None: @@ -31,7 +33,6 @@ def backtrack(board: Board, pieces_list: List[str], piece_index: int, board.remove(orientation, (row, col)) - def solve(xPin: Tuple[int, int], yPin: Tuple[int, int], zPin: Tuple[int, int]): """ solve the puzzle, avoiding the pins at the specified positions. @@ -94,28 +95,74 @@ def colorful_solution(xPin, yPin, zPin) -> str: print("--------------------") print(f"Total solutions: {len(solutions)}") -def try_all_pegs(): +def check_rotations(Ax, Ay, Bx, By, Cx, Cy, checked): + """ + Check if any rotation of these three pins was already in `checked`. + If yes, return True; if not, add them and return False. + We assume a 5x5 board with valid row/col in [0..4]. + """ + + def rotate_90(r, c): + # Rotate (r, c) by 90 degrees on a 5x5 board => (c, 4 - r) + return (c, 4 - r) + + # Start with the 3 pin positions + base_pins = [(Ax, Ay), (Bx, By), (Cx, Cy)] + # Sort them so (pin1, pin2, pin3) is in a canonical order + + # Generate all 4 rotations + rotations = [] + current = base_pins + for _ in range(4): + # Rotate each pin in `current` by 90 degrees + current = [rotate_90(r, c) for (r, c) in current] + # Sort again so we have a canonical ordering + rotations.append(tuple(current)) + + # Check if any rotation is already in `checked` + for pins_tuple in rotations: + if pins_tuple in checked: + return True + + # If none were found, add *all* rotations to `checked` + # so we never re-check or re-add them in the future. + for pins_tuple in rotations: + checked.add(pins_tuple) + + return False + + +def try_all_pegs_naive(): from tqdm import tqdm all_solutions = [] # Solution entry {x: (row, col), y: (row, col), z: (row, col), solution_count: int} - - for xPinA in (range(5)): - for yPinA in range(5): + # 5^4 = 625 iterations + # 3^6 = 729 iterations + # 5^6 = 15625 iterations + checked = set() + for xPinA in tqdm(range(5)): + for yPinA in (range(5)): for xPinB in range(5): for yPinB in range(5): - for xPinC in tqdm(range(5)): + for xPinC in (range(5)): for yPinC in range(5): if (xPinA, yPinA) == (xPinB, yPinB) or (xPinA, yPinA) == (xPinC, yPinC) or (xPinB, yPinB) == (xPinC, yPinC): continue + + if check_rotations(xPinA, yPinA, xPinB, yPinB, xPinC, yPinC, checked): + continue + solutions = solve((xPinA, yPinA), (xPinB, yPinB), (xPinC, yPinC)) + import sys if solutions: - all_solutions.append({ + print({ 'x': (xPinA, yPinA), 'y': (xPinB, yPinB), 'z': (xPinC, yPinC), 'solution_count': len(solutions) - }) - return all_solutions + }, file=sys.stdout, flush=True) + + if __name__ == "__main__": - # colorful_solution((0, 2), (2, 0), (3, 3)) - print(try_all_pegs()) \ No newline at end of file + colorful_solution((0, 0), (4, 4), (4, 0)) + # try_all_pegs_naive() \ No newline at end of file