mirror of
https://github.com/osmarks/random-stuff
synced 2024-10-18 14:05:46 +00:00
150 lines
4.2 KiB
Python
Executable File
150 lines
4.2 KiB
Python
Executable File
#!/usr/bin/env python3
|
|
|
|
from z3 import *
|
|
|
|
def chunks(lst, n):
|
|
for i in range(0, len(lst), n):
|
|
yield lst[i:i + n]
|
|
|
|
def main_solver(maze):
|
|
MAX_PATH_LENGTH = 80
|
|
walls = [ix for ix, cell in enumerate(maze) if cell]
|
|
#path_components = [ Int("path" + str(i)) for i in range(MAX_PATH_LENGTH) ]
|
|
#path_component_constraints = [ Or(c == -10, c == 10, c == -1, c == 1, c == 0) for c in path_components ]
|
|
#print(path_component_constraints)
|
|
#print(solve(path_component_constraints))
|
|
"""
|
|
positions = [Int("pos" + str(i)) for i in range(MAX_PATH_LENGTH)]
|
|
pos_constraints = []
|
|
solver = Solver()
|
|
for ix, pos in enumerate(positions):
|
|
if ix == 0:
|
|
pos_constraints.append(pos == 0)
|
|
else:
|
|
last = positions[ix - 1]
|
|
pos_constraints.append(Or(pos == (last + 10), pos == (last - 10), If(pos % 10 != 0, pos == (last + 1), False), If(pos % 10 != 9, pos == (last - 1), False)))
|
|
pos == (last + 1), pos == (last - 1)))
|
|
pos_constraints.append(pos < 100)
|
|
pos_constraints.append(pos >= 0)
|
|
for cell in walls:
|
|
pos_constraints.append(pos != cell)
|
|
pos_constraints.append(positions[-1] == 99)
|
|
print(pos_constraints)
|
|
for c in pos_constraints: constraints.append(c)"""
|
|
solver = Solver()
|
|
xs = [Int(f"x{i}") for i in range(MAX_PATH_LENGTH)]
|
|
ys = [Int(f"y{i}") for i in range(MAX_PATH_LENGTH)]
|
|
things = list(zip(xs, ys))
|
|
constraints = []
|
|
for ix, (x, y) in enumerate(things):
|
|
if ix == 0:
|
|
constraints.append(x == 0)
|
|
constraints.append(y == 0)
|
|
else:
|
|
last_x, last_y = things[ix - 1]
|
|
constraints.append(Or(
|
|
And(x == last_x + 1, y == last_y),
|
|
And(x == last_x - 1, y == last_y),
|
|
And(x == last_x, y == last_y + 1),
|
|
And(x == last_x, y == last_y - 1),
|
|
And(x == last_x, y == last_y)
|
|
))
|
|
constraints.append(x >= 0)
|
|
constraints.append(x <= 9)
|
|
constraints.append(y >= 0)
|
|
constraints.append(y <= 9)
|
|
|
|
for wall_pos in walls:
|
|
constraints.append(Not(And(x == (wall_pos % 10), y == (wall_pos // 10))))
|
|
|
|
constraints.append(xs[-1] == 9)
|
|
constraints.append(ys[-1] == 9)
|
|
#print(constraints)
|
|
for constraint in constraints: solver.add(constraint)
|
|
print(solver.check())
|
|
model = solver.model()
|
|
out = []
|
|
for ix, (x, y) in enumerate(zip(xs, ys)):
|
|
xp, yp = model.evaluate(x), model.evaluate(y)
|
|
#print(ix, xp, yp)
|
|
out.append(xp.as_long() + yp.as_long() * 10)
|
|
return out
|
|
|
|
def fail(e): raise Exception(e)
|
|
|
|
def print_maze(m, p):
|
|
out = [ [ "█" if x else "_" for x in row ] for row in chunks(m, 10) ]
|
|
for ix, pc in enumerate(p):
|
|
out[pc // 10][pc % 10] = chr(ix % 26 + 97) if m[pc] == 0 else fail("all is bees")
|
|
print("\n".join([ " ".join(row) for row in out ]))
|
|
assert p[-1] == 99
|
|
|
|
def entry(maze):
|
|
p = main_solver(maze)
|
|
print_maze(maze, p)
|
|
print([{-10:1,1:2,10:3,-1:4}[y-x] for x,y in zip(p,p[1:]) if x != y])
|
|
|
|
print(entry([
|
|
0,1,0,0,0,1,0,0,0,1,
|
|
0,1,0,1,0,1,0,1,0,0,
|
|
0,1,0,1,0,1,0,1,1,0,
|
|
0,1,0,1,0,1,0,1,0,0,
|
|
0,1,0,1,0,1,0,1,0,1,
|
|
0,1,0,1,0,1,0,1,0,0,
|
|
0,1,0,1,0,1,0,1,1,0,
|
|
0,1,0,1,0,1,0,1,0,0,
|
|
0,1,0,1,0,1,0,1,0,1,
|
|
0,0,0,1,0,0,0,1,0,0]))
|
|
|
|
print(entry([
|
|
0,1,0,0,0,1,0,0,0,1,
|
|
0,1,0,1,0,1,0,1,0,0,
|
|
0,0,0,1,0,1,0,1,1,0,
|
|
0,1,0,1,0,1,0,1,0,0,
|
|
0,1,0,1,0,1,0,1,0,1,
|
|
0,1,0,1,0,1,0,1,0,0,
|
|
0,1,0,0,0,1,0,1,1,0,
|
|
0,1,0,0,0,1,0,1,0,0,
|
|
0,1,0,1,0,1,0,1,1,0,
|
|
0,0,0,1,0,0,0,0,1,0
|
|
]))
|
|
|
|
print(entry([
|
|
0,0,0,0,0,0,0,0,0,0,
|
|
0,0,0,0,0,0,0,0,0,0,
|
|
0,0,0,0,0,0,0,0,0,0,
|
|
0,0,0,0,0,0,0,0,0,0,
|
|
0,0,0,0,0,0,0,0,0,0,
|
|
0,0,0,0,0,0,0,0,0,0,
|
|
0,0,0,0,0,0,0,0,0,0,
|
|
0,0,0,0,0,0,0,0,0,0,
|
|
0,0,0,0,0,0,0,0,0,0,
|
|
0,0,0,0,0,0,0,0,0,0
|
|
]))
|
|
|
|
print(entry([
|
|
0,1,0,0,0,0,0,0,1,0,
|
|
0,0,0,0,0,1,1,0,0,0,
|
|
1,1,1,0,1,1,0,0,1,0,
|
|
0,1,1,0,0,0,1,0,0,1,
|
|
0,0,0,0,1,0,1,1,0,0,
|
|
1,0,0,0,0,1,0,0,0,1,
|
|
0,0,1,1,1,0,1,0,1,0,
|
|
1,0,0,0,1,0,1,0,0,0,
|
|
0,0,0,0,1,0,0,1,1,1,
|
|
1,0,1,0,0,0,0,0,0,0
|
|
]))
|
|
|
|
print(entry([
|
|
0,0,0,0,0,0,1,0,0,0,
|
|
0,0,1,0,1,0,0,0,1,0,
|
|
0,0,1,1,0,0,1,1,1,0,
|
|
0,0,0,0,1,0,0,0,0,0,
|
|
0,1,0,0,1,0,1,0,0,0,
|
|
0,0,1,0,0,0,0,0,0,0,
|
|
0,1,0,0,0,0,1,0,1,0,
|
|
0,0,0,1,0,0,0,1,0,0,
|
|
0,0,0,1,0,0,0,0,0,0,
|
|
1,0,0,0,0,1,0,0,0,0
|
|
]))
|