humanized grid as entry
This commit is contained in:
Daniel Tsvetkov
parent
47ccffaf81
commit
fbc133b8a9
122
main.py
122
main.py
@ -2,11 +2,16 @@ import itertools
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from copy import deepcopy
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from itertools import combinations, combinations_with_replacement
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OP_PLUS = "PLUS"
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OP_MINUS = "MINUS"
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OP_MULTIPLY = "MULTIPLY"
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OP_DIVIDE = "DIVIDE"
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OP_NONE = "NONE"
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# up right down left
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DIRECTIONS = [(0, -1), (1, 0), (0, 1), (-1, 0)]
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OP_PLUS = "+"
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OP_MINUS = "-"
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OP_MULTIPLY = "x"
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OP_DIVIDE = "/"
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OP_NONE = "#"
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BOX_H_LABELS = 'ABCDEFGHI'
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BOX_V_LABELS = '123456789'
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def lambda_mul(x):
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@ -24,12 +29,13 @@ OP_LAMBDAS = {
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OP_NONE: lambda x: x[0],
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}
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BOX_H_LABELS = 'ABCDEFGHI'
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BOX_V_LABELS = '123456789'
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def translate_box_to_rc(box, grid_size):
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return BOX_V_LABELS.index(box[1]), BOX_H_LABELS[grid_size-1::-1].index(box[0])
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return BOX_V_LABELS.index(box[1]), BOX_H_LABELS[grid_size - 1::-1].index(box[0])
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def translate_rc_to_box(row_id, col_id, grid_size):
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return BOX_H_LABELS[col_id] + BOX_V_LABELS[grid_size - row_id - 1]
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def has_line_integrity(line):
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@ -183,28 +189,88 @@ class Game(object):
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return sol
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def main():
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game = Game(grid_size=6,
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blocks=[
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Block(boxes=['A6', 'B6', 'C6', 'D6'], operation=OP_MULTIPLY, result=120),
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Block(boxes=['E6', 'E5', 'E4', 'F4'], operation=OP_PLUS, result=17),
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Block(boxes=['F6', 'F5'], operation=OP_PLUS, result=5),
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Block(boxes=['A5', 'B5'], operation=OP_MINUS, result=1),
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Block(boxes=['C5', 'C4'], operation=OP_DIVIDE, result=2),
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Block(boxes=['D5', 'D4'], operation=OP_PLUS, result=3),
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Block(boxes=['A4', 'A3'], operation=OP_PLUS, result=5),
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Block(boxes=['B4', 'B3', 'C3'], operation=OP_MULTIPLY, result=30),
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Block(boxes=['D3', 'D2', 'E2'], operation=OP_MULTIPLY, result=15),
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Block(boxes=['B2', 'C2', 'C1'], operation=OP_MULTIPLY, result=10),
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Block(boxes=['A2'], operation=OP_NONE, result=6),
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Block(boxes=['A1', 'B1'], operation=OP_DIVIDE, result=3),
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Block(boxes=['D1', 'E1'], operation=OP_MINUS, result=1),
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Block(boxes=['F1', 'F2', 'F3', 'E3'], operation=OP_PLUS, result=16),
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])
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grid = game.solve(grid=init_grid(game.grid_size))
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def walk_grid_to_boxes(grid, row_id, col_id, initial_cell, boxes):
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"""Recursively walk through the boxes in a grid going up,left,down,right to construct
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a contiguous block of same operations."""
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grid_size = len(grid)
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for v_offset, h_offset in DIRECTIONS:
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new_row_id, new_col_id = row_id + h_offset, col_id + v_offset
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# avoid wrap-around
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if not (0 <= new_row_id < grid_size and 0 <= new_col_id < grid_size):
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continue
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box = translate_rc_to_box(new_row_id, new_col_id, grid_size)
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if box in boxes:
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continue
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cell = grid[new_row_id][new_col_id].strip()
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if cell == initial_cell:
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boxes.append(box)
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walk_grid_to_boxes(grid, new_row_id, new_col_id, initial_cell, boxes)
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return boxes
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def construct_blocks(grid):
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"""Reads a grid of operations and converts them to contiguous blocks."""
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grid_size = len(grid)
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blocks, used_boxes = [], []
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for row_id, row in enumerate(grid):
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assert len(row) == grid_size
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for col_id, cell in enumerate(row):
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box = translate_rc_to_box(row_id, col_id, grid_size)
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if box in used_boxes:
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continue
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cell = cell.strip()
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operation = cell[-1]
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assert operation in OP_LAMBDAS.keys()
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value = int(cell[:-1])
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boxes = walk_grid_to_boxes(grid, row_id, col_id, cell, [box])
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used_boxes += boxes
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blocks.append(Block(boxes=boxes, operation=operation, result=value))
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return grid_size, blocks
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def print_grid(grid):
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for line in grid:
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print(line)
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def solve_game(grid: list):
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grid_size, blocks = construct_blocks(grid)
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game = Game(grid_size=grid_size, blocks=blocks)
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grid = game.solve(grid=init_grid(game.grid_size))
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print_grid(grid)
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def main():
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"""Construct a game using the +-x/ symbols for operations and the number before that.
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Whitespace around is meaningless and can be used to arrange the matrix visually."""
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solve_game([
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['120x', '120x', '120x', '120x', '17+', '5+ '],
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['1- ', '1- ', '2/ ', '3+ ', '17+', '5+ '],
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['5+ ', '30x ', '2/ ', '3+ ', '17+', '17+'],
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['5+ ', '30x ', '30x ', '15x ', '16+', '16+'],
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['6# ', '10x ', '10x ', '15x ', '15x', '16+'],
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['3/ ', '3/ ', '10x ', '1- ', '1- ', '16+'],
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])
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# Alternatively construct a Game object more explicitly:
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# game = Game(grid_size=6,
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# blocks=[
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# Block(boxes=['A6', 'B6', 'C6', 'D6'], operation=OP_MULTIPLY, result=120),
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# Block(boxes=['E6', 'E5', 'E4', 'F4'], operation=OP_PLUS, result=17),
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# Block(boxes=['F6', 'F5'], operation=OP_PLUS, result=5),
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# Block(boxes=['A5', 'B5'], operation=OP_MINUS, result=1),
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# Block(boxes=['C5', 'C4'], operation=OP_DIVIDE, result=2),
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# Block(boxes=['D5', 'D4'], operation=OP_PLUS, result=3),
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# Block(boxes=['A4', 'A3'], operation=OP_PLUS, result=5),
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# Block(boxes=['B4', 'B3', 'C3'], operation=OP_MULTIPLY, result=30),
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# Block(boxes=['D3', 'D2', 'E2'], operation=OP_MULTIPLY, result=15),
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# Block(boxes=['B2', 'C2', 'C1'], operation=OP_MULTIPLY, result=10),
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# Block(boxes=['A2'], operation=OP_NONE, result=6),
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# Block(boxes=['A1', 'B1'], operation=OP_DIVIDE, result=3),
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# Block(boxes=['D1', 'E1'], operation=OP_MINUS, result=1),
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# Block(boxes=['F1', 'F2', 'F3', 'E3'], operation=OP_PLUS, result=16),
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# ])
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if __name__ == '__main__':
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main()
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