Created
January 3, 2021 05:07
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not really working black knot solver for 2006 icfp
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#!/usr/bin/env python3.8 | |
import sys | |
import re | |
def extract(s): | |
return [int(x) for x in re.findall(r'-?\d+', s)] | |
from z3 import Bool, Int, If, Not, Solver, And | |
def solve(pieces): | |
width = len(pieces) | |
height = width*5 # XXX: sure?? | |
s = Solver() | |
swaps = [[Bool(f's{r}_{c}') for c in range(width)] for r in range(height-1)] | |
balls = [[Int(f'b{r}_{c}') for c in range(width)] for r in range(height)] | |
plinks = [[Int(f'p{r}_{c}') for c in range(width)] for r in range(height)] | |
for c in range(width): | |
s.add(balls[0][c] == c) | |
s.add(plinks[0][c] == 0) | |
for r in range(height-1): | |
for c in range(1, width): | |
s.add(Not(And(swaps[r][c-1], swaps[r][c]))) | |
s.add(swaps[r][-1] == False) | |
for r in range(1, height): | |
for c in range(width): | |
ball = balls[r-1][c] | |
plink = plinks[r-1][c] | |
if c > 0: | |
lswap = swaps[r-1][c-1] | |
ball = If(lswap, balls[r-1][c-1], ball) | |
plink = If(lswap, plinks[r-1][c-1] + 1, plink) | |
if c + 1 < width: | |
rswap = swaps[r-1][c] | |
ball = If(rswap, balls[r-1][c+1], ball) | |
plink = If(rswap, plinks[r-1][c+1], plink) | |
s.add(balls[r][c] == ball) | |
s.add(plinks[r][c] == plink) | |
for orig, target, plink in pieces: | |
s.add(balls[-1][target] == orig) | |
s.add(plinks[-1][target] == plink) | |
print(s) | |
s.check() | |
model = s.model() | |
print(model) | |
return [[model[x] for x in r] for r in swaps] | |
def draw(model): | |
return "\n".join([ | |
"".join([ | |
">" if x else "<" if c > 0 and line[c-1] else "|" | |
for c, x in enumerate(line) | |
]) | |
for line in model | |
]) | |
def main(args): | |
data = [extract(x.strip()) for x in sys.stdin] | |
model = solve(data) | |
print(model) | |
print(draw(model)) | |
if __name__ == '__main__': | |
main(sys.argv) |
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