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40 changed files with 15 additions and 14985 deletions

1
.gitignore vendored
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@ -4,4 +4,3 @@ __pycache__
.ruff_cache .ruff_cache
.vscode .vscode
build build
files

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@ -63,6 +63,7 @@ class Solver(BaseSolver):
(x, y, z), (vx, vy, vz), positions[i1], velocities[i1] (x, y, z), (vx, vy, vz), positions[i1], velocities[i1]
): ):
equations.append(p + ti * d - pi - ti * di) equations.append(p + ti * d - pi - ti * di)
print(equations)
r = solve(equations, [x, y, z, vx, vy, vz] + list(ts), dict=True)[0] r = solve(equations, [x, y, z, vx, vy, vz] + list(ts), dict=True)[0]
yield r[x] + r[y] + r[z] yield r[x] + r[y] + r[z]

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@ -1,58 +1,7 @@
from typing import Any, Iterator from typing import Any, Iterator
from ..base import BaseSolver from ..base import BaseSolver
from ..tools import graphs
class Solver(BaseSolver): class Solver(BaseSolver):
def print_grid(self, grid: list[tuple[int, int]], n_rows: int, n_cols: int): def solve(self, input: str) -> Iterator[Any]: ...
values = set(grid)
if self.files:
self.files.create(
"graph.txt",
"\n".join(
"".join(
"#" if (row, col) in values else "." for col in range(n_cols)
)
for row in range(n_rows)
).encode(),
text=True,
)
else:
for row in range(n_rows):
self.logger.info(
"".join(
"#" if (row, col) in values else "." for col in range(n_cols)
)
)
def dijkstra(self, corrupted: list[tuple[int, int]], n_rows: int, n_cols: int):
return graphs.dijkstra(
(0, 0),
(n_rows - 1, n_cols - 1),
graphs.make_neighbors_grid_fn(n_rows, n_cols, set(corrupted)),
)
def solve(self, input: str) -> Iterator[Any]:
values = [
(int(p[0]), int(p[1])) for r in input.splitlines() if (p := r.split(","))
]
_is_test = len(values) < 100
n_rows, n_cols, n_bytes_p1 = (7, 7, 12) if _is_test else (71, 71, 1024)
bytes_p1 = values[:n_bytes_p1]
self.print_grid(bytes_p1, n_rows, n_cols)
path_p1, cost_p1 = self.dijkstra(bytes_p1, n_rows, n_cols) or ((), -1)
yield cost_p1
path = path_p1
for b in range(n_bytes_p1, len(values)):
if values[b] not in path:
continue
path, _ = self.dijkstra(values[: b + 1], n_rows, n_cols) or (None, -1)
if path is None:
yield ",".join(map(str, values[b]))
break

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@ -1,42 +1,7 @@
from functools import cache
from typing import Any, Iterator from typing import Any, Iterator
from ..base import BaseSolver from ..base import BaseSolver
@cache
def is_valid(design: str, towels: tuple[str, ...]) -> bool:
if not design:
return True
return any(
design.startswith(towel) and is_valid(design[len(towel) :], towels)
for towel in towels
)
@cache
def count_valid(design: str, towels: tuple[str, ...]) -> int:
if not design:
return 1
return sum(
design.startswith(towel) and count_valid(design[len(towel) :], towels)
for towel in towels
)
class Solver(BaseSolver): class Solver(BaseSolver):
def solve(self, input: str) -> Iterator[Any]: def solve(self, input: str) -> Iterator[Any]: ...
towels_s, designs_s = input.split("\n\n")
towels = tuple(s.strip() for s in towels_s.split(","))
designs = [
design
for design in self.progress.wrap(designs_s.splitlines())
if is_valid(design, towels)
]
yield len(designs)
yield sum(count_valid(design, towels) for design in self.progress.wrap(designs))

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@ -1,95 +1,7 @@
import itertools from typing import Any, Iterator
from collections import Counter
from typing import Any, Callable, Iterable, Iterator, Sequence, TypeAlias
from ..base import BaseSolver from ..base import BaseSolver
from ..tools.graphs import dijkstra, make_neighbors_grid_fn
Node: TypeAlias = tuple[int, int]
def make_neighbors_fn(grid: list[str], cheat_length: int):
n_rows, n_cols = len(grid), len(grid[0])
def _fn(node: Node):
row, col = node
return (
((row_n, col_n), abs(row_n - row) + abs(col_n - col))
for row_d in range(-cheat_length, cheat_length + 1)
for col_d in range(
-cheat_length + abs(row_d), cheat_length - abs(row_d) + 1
)
if 0 <= (row_n := row + row_d) < n_rows
and 0 <= (col_n := col + col_d) < n_cols
and grid[row_n][col_n] != "#"
)
return _fn
class Solver(BaseSolver): class Solver(BaseSolver):
def find_cheats( def solve(self, input: str) -> Iterator[Any]: ...
self,
path: Sequence[Node],
cost: float,
costs_to_target: dict[Node, float],
neighbors_fn: Callable[[Node], Iterable[tuple[Node, float]]],
):
cheats: dict[tuple[tuple[int, int], tuple[int, int]], float] = {}
for i_node, node in enumerate(self.progress.wrap(path)):
for reach_node, reach_cost in neighbors_fn(node):
n_cost = (
i_node + reach_cost + costs_to_target.get(reach_node, float("inf"))
)
if n_cost < cost:
cheats[node, reach_node] = cost - n_cost
return cheats
def solve(self, input: str) -> Iterator[Any]:
grid = input.splitlines()
n_rows, n_cols = len(grid), len(grid[0])
start = next(
(i, j) for i in range(n_rows) for j in range(n_cols) if grid[i][j] == "S"
)
target = next(
(i, j) for i in range(n_rows) for j in range(n_cols) if grid[i][j] == "E"
)
reachable = dijkstra(
target,
None,
make_neighbors_grid_fn(
n_rows,
n_cols,
excluded=(
(i, j)
for i in range(n_rows)
for j in range(n_cols)
if grid[i][j] == "#"
),
),
)
# note: path is inverted here
path, cost = reachable[start]
costs_to_target = {k: c for k, (_, c) in reachable.items()}
self.logger.info(f"found past from start to target with cost {cost}")
for cheat_length in (2, 20):
cheats = self.find_cheats(
list(reversed(path)),
cost,
costs_to_target,
make_neighbors_fn(grid, cheat_length),
)
for saving, count in sorted(Counter(cheats.values()).items()):
self.logger.debug(
f"There are {count} cheats that save {saving} picoseconds."
)
target_saving = 100 if len(grid) > 20 else 50
yield sum(saving >= target_saving for saving in cheats.values())

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@ -1,85 +1,7 @@
import itertools from typing import Any, Iterator
from functools import cache
from typing import Any, Iterator, Literal
from ..base import BaseSolver from ..base import BaseSolver
NUM_PAD_P = {
v: (i, j)
for i, r in enumerate(("789", "456", "123", " 0A"))
for j, v in enumerate(r)
if v.strip()
}
MOV_PAD_P = {
v: (i, j)
for i, r in enumerate((" ^A", "<v>"))
for j, v in enumerate(r)
if v.strip()
}
def path(start: tuple[int, int], end: tuple[int, int], pad: Literal["num", "mov"]):
# a move in the grid is composed of at most two straight line: up/down and
# left/right, since doing some kind of diagonal moves would create long path for
# the robot above (since this involves going back-and-forth to the letter 'A')
#
row_s, col_s = start
row_e, col_e = end
le, de, ue, re = (
"<" * max(0, col_s - col_e),
"v" * max(0, row_e - row_s),
"^" * max(0, row_s - row_e),
">" * max(0, col_e - col_s),
)
# when the robot starts or ends on the row/column with the empty cell, there is
# only one way to move
#
if pad == "num" and (row_s, col_e) == (3, 0):
return ue + le
elif pad == "num" and (col_s, row_e) == (0, 3):
return re + de
elif pad == "mov" and col_s == 0:
return re + ue
elif pad == "mov" and col_e == 0:
return de + le
# otherwise, we need to decide if we want to go up/down first, or left/right, and
# apparently this is the best way to do it...
return le + de + ue + re
@cache
def v_clicks(clicks: str, depth: int) -> int:
if depth == 0:
return len(clicks)
n_clicks = 0
at = "A"
for _, group in itertools.groupby(clicks):
group = list(group)
n_clicks += v_clicks(
path(MOV_PAD_P[at], MOV_PAD_P[group[0]], "mov") + "A" * len(group),
depth - 1,
)
at = group[0]
return n_clicks
def path_length(code: str, depth: int):
return sum(
v_clicks(path(NUM_PAD_P[start], NUM_PAD_P[end], "num") + "A", depth)
for start, end in zip("A" + code[:-1], code, strict=True)
)
class Solver(BaseSolver): class Solver(BaseSolver):
def solve(self, input: str) -> Iterator[Any]: def solve(self, input: str) -> Iterator[Any]: ...
yield sum(
path_length(code, 2) * int(code[:-1], 10) for code in input.splitlines()
)
yield sum(
path_length(code, 25) * int(code[:-1], 10) for code in input.splitlines()
)

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@ -3,57 +3,5 @@ from typing import Any, Iterator
from ..base import BaseSolver from ..base import BaseSolver
def mix(secret: int, value: int) -> int:
return secret ^ value
def prune(secret: int) -> int:
return secret % 16777216
def next_number(secret: int) -> int:
# Calculate the result of multiplying the secret number by 64. Then, mix this
# result into the secret number. Finally, prune the secret number.
secret = prune(mix(secret, secret * 64))
# Calculate the result of dividing the secret number by 32. Round the result down
# to the nearest integer. Then, mix this result into the secret number. Finally,
# prune the secret number.
secret = prune(mix(secret, secret // 32))
# Calculate the result of multiplying the secret number by 2048. Then, mix this
# result into the secret number. Finally, prune the secret number.
secret = prune(mix(secret, secret * 2048))
return secret
class Solver(BaseSolver): class Solver(BaseSolver):
def solve(self, input: str) -> Iterator[Any]: def solve(self, input: str) -> Iterator[Any]: ...
starts = [int(r) for r in input.splitlines()]
ends: list[int] = []
prices: list[int] = [0 for _ in range(2**16)]
for secret in self.progress.wrap(starts):
checked: list[bool] = [False] * len(prices)
hashed: int = 0
for i in range(2000):
last = secret % 10
secret = next_number(secret)
next = secret % 10
hashed = ((hashed << 4) & 0xFFFF) | ((last - next) & 0xF)
if i >= 3 and not checked[hashed]:
checked[hashed] = True
prices[hashed] += next
ends.append(secret)
for start, end in zip(starts, ends, strict=True):
self.logger.info(f"{start}: {end}")
yield sum(ends)
yield max(prices)

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@ -1,36 +1,7 @@
from collections import defaultdict
from typing import Any, Iterator from typing import Any, Iterator
from ..base import BaseSolver from ..base import BaseSolver
from ..tools.graphs import iter_max_cliques
class Solver(BaseSolver): class Solver(BaseSolver):
def solve(self, input: str) -> Iterator[Any]: def solve(self, input: str) -> Iterator[Any]: ...
connections: dict[str, set[str]] = defaultdict(set)
for row in input.splitlines():
src, dst = row.split("-")
connections[src].add(dst)
connections[dst].add(src)
if self.files:
content = "graph G {\n"
for row in input.splitlines():
src, dst = row.split("-")
content += f"{src} -- {dst}\n"
content += "}"
self.files.create("graph.dot", content.encode(), False)
cliques: set[frozenset[str]] = set()
for node1, neighbors in connections.items():
for node2 in neighbors:
for node3 in connections[node2].intersection(neighbors):
cliques.add(frozenset({node1, node2, node3}))
self.logger.info(f"found {len(cliques)} cliques of size 3")
yield sum(any(node.startswith("t") for node in clique) for clique in cliques)
# clique = max(nx.algorithms.clique.find_cliques(G), key=len)
clique = max(iter_max_cliques(connections), key=len)
yield ",".join(sorted(clique))

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@ -1,170 +1,7 @@
from dataclasses import dataclass from typing import Any, Iterator
from typing import Any, Iterator, Literal, TypeAlias, cast
from ..base import BaseSolver from ..base import BaseSolver
GateType: TypeAlias = Literal["and", "or", "xor"]
@dataclass(frozen=True, eq=True)
class Gate:
type: GateType
lhs: str
rhs: str
def __call__(self, lhs: int, rhs: int) -> Any:
match self.type:
case "or":
return int(lhs or rhs)
case "and":
return int(lhs and rhs)
case "xor":
return int(lhs != rhs)
class Solver(BaseSolver): class Solver(BaseSolver):
def solve(self, input: str) -> Iterator[Any]: def solve(self, input: str) -> Iterator[Any]: ...
inputs_s, gates_s = input.split("\n\n")
wires: dict[str, int | None] = {}
for row in inputs_s.splitlines():
parts = row.split(": ")
wires[parts[0]] = int(parts[1])
gates: dict[str, Gate] = {}
for row in gates_s.splitlines():
parts = row.split()
assert parts[4] not in gates
assert parts[4] not in wires
lhs, rhs = sorted([parts[0], parts[2]])
gates[parts[4]] = Gate(cast(GateType, parts[1].lower()), lhs, rhs)
wires[parts[4]] = None
if self.files:
content = "digraph G {\n"
for wire in wires:
content += f'{wire} [label="{wire}"]\n'
for wire, gate in gates.items():
gate_n = f"G_{wire}"
content += f'{gate_n} [label="{gate.type.upper()}"]\n'
content += f"{gate.lhs} -> {gate_n}\n"
content += f"{gate.rhs} -> {gate_n}\n"
content += f"{gate_n} -> {wire}\n"
content += "}\n"
self.files.create("gates.dot", content.encode(), text=False)
wires_to_find = set(gates)
while wires_to_find:
wires_found: list[str] = []
for wire in wires_to_find:
gate = gates[wire]
lhs, rhs = wires[gate.lhs], wires[gate.rhs]
if lhs is None or rhs is None:
continue
assert wires[wire] is None
wires[wire] = gate(lhs, rhs)
wires_found.append(wire)
wires_to_find.difference_update(wires_found)
z_wires = sorted((wire for wire in wires if wire.startswith("z")))
self.logger.info(
"binary value is '{}'".format(
"".join(str(wires[w]) for w in reversed(z_wires))
)
)
yield int("".join(str(wires[w]) for w in reversed(z_wires)), base=2)
# e00 = x00 ^ y00
# z00 = e00
# r00 = x00 & y00
# e01 = x01 ^ y01
# z01 = r00 ^ e01
# a01 = x01 & y01
# b01 = r00 & e01
# r01 = a01 | (r00 & e01)
assert gates["z00"] == Gate("xor", "x00", "y00")
# normalized names -> gate name
m_gates: dict[str, str] = {}
def find_gate(type: GateType, lhs: str, rhs: str):
try:
return next(
wire
for wire, gate in gates.items()
if gate.type == type
and {gate.lhs, gate.rhs}
== {m_gates.get(lhs, lhs), m_gates.get(rhs, rhs)}
)
except StopIteration as ex:
self.logger.info(
f"gate {lhs} [{m_gates.get(lhs, lhs)}] {type} {rhs} [{m_gates.get(rhs, rhs)}] not found"
)
raise ex
# find the r00 gate (= x00 & y00)
m_gates["r00"] = find_gate("and", "x00", "y00")
swapped: list[str] = []
for i_wire, z_wire in enumerate(z_wires[1:-1], start=1):
i2d = f"{i_wire:02d}"
r0n = f"r{i_wire - 1:02d}"
m_gates[f"e{i2d}"] = find_gate("xor", f"x{i2d}", f"y{i2d}")
try:
z_gate = find_gate("xor", r0n, f"e{i2d}")
except StopIteration:
# gate xor not found -> one of the input gate has been swapped
#
# assume there is a XOR gate with the remainder, so it is the other
# input that has been swapped
assert gates[z_wire].type == "xor"
assert m_gates.get(r0n, r0n) in (gates[z_wire].lhs, gates[z_wire].rhs)
wrong_wire_1 = (
gates[z_wire].lhs
if gates[z_wire].rhs == m_gates.get(r0n, r0n)
else gates[z_wire].rhs
)
wrong_wire_2 = m_gates[f"e{i2d}"]
# we are going to fix all the gates (there is probably only 2 but
# eh...) whose wires needs to be swapped
self.logger.info(f"swapping {wrong_wire_1} <> {wrong_wire_2}")
switch = {wrong_wire_1: wrong_wire_2, wrong_wire_2: wrong_wire_1}
for wire, gate in list(gates.items()):
lhs, rhs = (
switch.get(gate.lhs, gate.lhs),
switch.get(gate.rhs, gate.rhs),
)
if lhs != gate.lhs or rhs != gate.rhs:
gates[wire] = Gate(gate.type, lhs, rhs)
swapped.extend((wrong_wire_1, wrong_wire_2))
z_gate = find_gate("xor", r0n, f"e{i2d}")
if z_gate != z_wire:
self.logger.info(f"swapping {z_gate} <> {z_wire}")
gates[z_gate], gates[z_wire] = gates[z_wire], gates[z_gate]
swapped.extend((z_gate, z_wire))
m_gates[f"a{i2d}"] = find_gate("and", f"x{i2d}", f"y{i2d}")
m_gates[f"b{i2d}"] = find_gate("and", r0n, f"e{i2d}")
m_gates[f"r{i2d}"] = find_gate("or", f"a{i2d}", f"b{i2d}")
assert len(swapped) == 8
yield ",".join(sorted(swapped))

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@ -1,40 +1,7 @@
import itertools as it
from typing import Any, Iterator from typing import Any, Iterator
from ..base import BaseSolver from ..base import BaseSolver
def read_locks_and_keys(input: str):
locks: list[tuple[int, ...]] = []
keys: list[tuple[int, ...]] = []
for block in map(str.splitlines, input.split("\n\n")):
n_rows, n_cols = len(block), len(block[0])
if block[0] == "#" * n_cols:
locks.append(
tuple(
next(i for i in range(n_rows) if block[i][j] == ".") - 1
for j in range(n_cols)
)
)
else:
keys.append(
tuple(
n_rows - next(i for i in range(n_rows) if block[i][j] == "#") - 1
for j in range(n_cols)
)
)
return locks, keys
class Solver(BaseSolver): class Solver(BaseSolver):
def solve(self, input: str) -> Iterator[Any]: def solve(self, input: str) -> Iterator[Any]: ...
locks, keys = read_locks_and_keys(input)
assert len(set(locks)) == len(locks)
assert len(set(keys)) == len(keys)
yield sum(
all(c1 + c2 <= 5 for c1, c2 in zip(lock, key, strict=True))
for lock, key in it.product(locks, keys)
)

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@ -12,29 +12,10 @@ from .utils.files import SimpleFileHandler
from .utils.progress import ProgressNone, ProgressTQDM from .utils.progress import ProgressNone, ProgressTQDM
def find_input_file(folder: Path, day: int, target: Path | None):
if (path := folder.joinpath(f"day{day}.txt")).exists():
return path
if (
target is not None
and (path := folder.joinpath(f"day{day}_v{target}.txt")).exists()
):
return path
try:
return next(path for path in sorted(folder.glob(f"day{day}*.txt")))
except StopIteration:
...
return folder.joinpath(f"day{day}.txt")
def main(): def main():
parser = argparse.ArgumentParser("Holt59 Advent-Of-Code Runner") parser = argparse.ArgumentParser("Holt59 Advent-Of-Code Runner")
parser.add_argument("-v", "--verbose", action="store_true", help="verbose mode") parser.add_argument("-v", "--verbose", action="store_true", help="verbose mode")
parser.add_argument("-t", "--test", action="store_true", help="test mode") parser.add_argument("-t", "--test", action="store_true", help="test mode")
parser.add_argument("-a", "--api", action="store_true", help="API mode") parser.add_argument("-a", "--api", action="store_true", help="API mode")
parser.add_argument( parser.add_argument(
"-o", "-o",
@ -80,13 +61,9 @@ def main():
handlers=[LoggerAPIHandler()] if api else None, handlers=[LoggerAPIHandler()] if api else None,
) )
if input_path is None or not input_path.exists(): if input_path is None:
input_path = find_input_file( input_path = Path(__file__).parent.joinpath(
Path(__file__).parent.joinpath( "inputs", "tests" if test else user, str(year), f"day{day}.txt"
"inputs", "tests" if test else user, str(year)
),
day,
input_path,
) )
assert input_path.exists(), f"{input_path} missing" assert input_path.exists(), f"{input_path} missing"

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@ -1,402 +0,0 @@
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x32 XOR y32 -> kkd
y03 XOR x03 -> bcj
y31 XOR x31 -> svg
y22 XOR x22 -> wgq
qkf XOR wsv -> z02
bvp XOR gdb -> kgj
x04 XOR y04 -> cjb
x17 XOR y17 -> ffj
y37 AND x37 -> dsg
y27 AND x27 -> wth
y23 XOR x23 -> vfm
sgt XOR scc -> z40
mmb OR vjh -> fqf
qcm AND twv -> jth
y09 XOR x09 -> mtg
sdj OR nph -> z07
wgq XOR dqj -> z22
trr OR kfn -> hck
y27 XOR x27 -> qdf
kcv XOR pkr -> z24
x42 XOR y42 -> pvj
x40 AND y40 -> bst
svg AND fmt -> qnk

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@ -1,10 +0,0 @@
########
#..O.O.#
##@.O..#
#...O..#
#.#.O..#
#...O..#
#......#
########
<^^>>>vv<v>>v<<

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@ -1,9 +0,0 @@
#######
#...#.#
#.....#
#..OO@#
#..O..#
#.....#
#######
<vv<<^^<<^^

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@ -1,25 +0,0 @@
5,4
4,2
4,5
3,0
2,1
6,3
2,4
1,5
0,6
3,3
2,6
5,1
1,2
5,5
2,5
6,5
1,4
0,4
6,4
1,1
6,1
1,0
0,5
1,6
2,0

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@ -1,10 +0,0 @@
r, wr, b, g, bwu, rb, gb, br
brwrr
bggr
gbbr
rrbgbr
ubwu
bwurrg
brgr
bbrgwb

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@ -1,15 +0,0 @@
###############
#...#...#.....#
#.#.#.#.#.###.#
#S#...#.#.#...#
#######.#.#.###
#######.#.#...#
#######.#.###.#
###..E#...#...#
###.#######.###
#...###...#...#
#.#####.#.###.#
#.#...#.#.#...#
#.#.#.#.#.#.###
#...#...#...###
###############

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@ -1,5 +0,0 @@
029A
980A
179A
456A
379A

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@ -1,4 +0,0 @@
1
10
100
2024

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@ -1,4 +0,0 @@
1
2
3
2024

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@ -1,32 +0,0 @@
kh-tc
qp-kh
de-cg
ka-co
yn-aq
qp-ub
cg-tb
vc-aq
tb-ka
wh-tc
yn-cg
kh-ub
ta-co
de-co
tc-td
tb-wq
wh-td
ta-ka
td-qp
aq-cg
wq-ub
ub-vc
de-ta
wq-aq
wq-vc
wh-yn
ka-de
kh-ta
co-tc
wh-qp
tb-vc
td-yn

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@ -1,10 +0,0 @@
x00: 1
x01: 1
x02: 1
y00: 0
y01: 1
y02: 0
x00 AND y00 -> z00
x01 XOR y01 -> z01
x02 OR y02 -> z02

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@ -1,47 +0,0 @@
x00: 1
x01: 0
x02: 1
x03: 1
x04: 0
y00: 1
y01: 1
y02: 1
y03: 1
y04: 1
ntg XOR fgs -> mjb
y02 OR x01 -> tnw
kwq OR kpj -> z05
x00 OR x03 -> fst
tgd XOR rvg -> z01
vdt OR tnw -> bfw
bfw AND frj -> z10
ffh OR nrd -> bqk
y00 AND y03 -> djm
y03 OR y00 -> psh
bqk OR frj -> z08
tnw OR fst -> frj
gnj AND tgd -> z11
bfw XOR mjb -> z00
x03 OR x00 -> vdt
gnj AND wpb -> z02
x04 AND y00 -> kjc
djm OR pbm -> qhw
nrd AND vdt -> hwm
kjc AND fst -> rvg
y04 OR y02 -> fgs
y01 AND x02 -> pbm
ntg OR kjc -> kwq
psh XOR fgs -> tgd
qhw XOR tgd -> z09
pbm OR djm -> kpj
x03 XOR y03 -> ffh
x00 XOR y04 -> ntg
bfw OR bqk -> z06
nrd XOR fgs -> wpb
frj XOR qhw -> z04
bqk OR frj -> z07
y03 OR x01 -> nrd
hwm AND bqk -> z03
tgd XOR rvg -> z12
tnw OR pbm -> gnj

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@ -1,19 +0,0 @@
x00: 0
x01: 1
x02: 0
x03: 1
x04: 0
x05: 1
y00: 0
y01: 0
y02: 1
y03: 1
y04: 0
y05: 1
x00 AND y00 -> z05
x01 AND y01 -> z02
x02 AND y02 -> z01
x03 AND y03 -> z03
x04 AND y04 -> z04
x05 AND y05 -> z00

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@ -1,39 +0,0 @@
#####
.####
.####
.####
.#.#.
.#...
.....
#####
##.##
.#.##
...##
...#.
...#.
.....
.....
#....
#....
#...#
#.#.#
#.###
#####
.....
.....
#.#..
###..
###.#
###.#
#####
.....
.....
.....
#....
#.#..
#.#.#
#####

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@ -1,186 +0,0 @@
import heapq
from typing import (
Callable,
Iterable,
Iterator,
Mapping,
TypeVar,
cast,
overload,
)
_Node = TypeVar("_Node")
def make_neighbors_grid_fn(
rows: int | Iterable[int],
cols: int | Iterable[int],
excluded: Iterable[tuple[int, int]] = set(),
diagonals: bool = False,
):
"""
Create a neighbors function suitable for graph function for a simple grid.
Args:
rows: Rows of the grid. If an int is specified, the rows are assumed to be
numbered from 0 to rows - 1, otherwise the iterable should contain the list
of valid rows.
cols: Columns of the grid. If an int is specified, the columns are assumed to be
numbered from 0 to cols - 1, otherwise the iterable should contain the list
of valid columns.
excluded: Cells of the grid that cannot be used as valid nodes for the graph.
diagonals: If True, neighbors will include diagonal cells, otherwise, only
horizontal and vertical neighbors will be included.
"""
ds = ((-1, 0), (0, 1), (1, 0), (0, -1))
if diagonals:
ds = ds + ((-1, -1), (-1, 1), (1, -1), (1, 1))
if isinstance(rows, int):
rows = range(rows)
elif not isinstance(rows, range):
rows = set(rows)
if isinstance(cols, int):
cols = range(cols)
elif not isinstance(cols, range):
cols = set(cols)
excluded = set(excluded)
def _fn(node: tuple[int, int]):
return (
((row_n, col_n), 1)
for dr, dc in ds
if (row_n := node[0] + dr) in rows
and (col_n := node[1] + dc) in cols
and (row_n, col_n) not in excluded
)
return _fn
@overload
def dijkstra(
start: _Node,
target: None,
neighbors: Callable[[_Node], Iterable[tuple[_Node, float]]],
) -> dict[_Node, tuple[tuple[_Node, ...], float]]: ...
@overload
def dijkstra(
start: _Node,
target: _Node,
neighbors: Callable[[_Node], Iterable[tuple[_Node, float]]],
) -> tuple[tuple[_Node, ...], float] | None: ...
def dijkstra(
start: _Node,
target: _Node | None,
neighbors: Callable[[_Node], Iterable[tuple[_Node, float]]],
) -> (
dict[_Node, tuple[tuple[_Node, ...], float]]
| tuple[tuple[_Node, ...], float]
| None
):
"""
Solve shortest-path problem using simple Dijkstra algorithm from start to target,
using the given neighbors function.
Args:
start: Starting node of the path.
target: Target node for the path.
neighbors: Function that should return, for a given node, the list of
its neighbors with the cost to go from the node to the neighbor.
Returns:
One of the shortest-path from start to target with its associated cost, if one
is found, otherwise None.
"""
queue: list[tuple[float, _Node, tuple[_Node, ...]]] = [(0, start, (start,))]
preds: dict[_Node, tuple[tuple[_Node, ...], float]] = {}
while queue:
dis, node, path = heapq.heappop(queue)
if node in preds:
continue
preds[node] = (path, dis)
if node == target:
break
for neighbor, cost in neighbors(node):
if neighbor in preds:
continue
heapq.heappush(queue, (dis + cost, neighbor, path + (neighbor,)))
if target is None:
return preds
return preds.get(target, None)
def iter_max_cliques(
neighbors: Mapping[_Node, Iterable[_Node]], nodes: Iterable[_Node] | None = None
) -> Iterator[list[_Node]]:
"""
Find max cliques from the given set of neighbors containing the given set of nodes.
This is simply the networkx implementation with typing (and using a simple mapping
to avoid requiring networkx).
"""
if len(neighbors) == 0:
return
# remove the node itself from the neighbors
adj = {u: {v for v in neighbors[u] if v != u} for u in neighbors}
# Initialize Q with the given nodes and subg, cand with their nbrs
Q: list[_Node | None] = list(nodes or [])
cand = set(neighbors)
for node in Q:
if node not in cand:
raise ValueError(f"The given `nodes` {nodes} do not form a clique")
cand &= adj[node]
if not cand:
yield cast(list[_Node], Q[:])
return
subg = cand.copy()
stack: list[tuple[set[_Node], set[_Node], set[_Node]]] = []
Q.append(None)
u = max(subg, key=lambda u: len(cand & adj[u]))
ext_u = cand - adj[u]
try:
while True:
if ext_u:
q = ext_u.pop()
cand.remove(q)
Q[-1] = q
adj_q = adj[q]
subg_q = subg & adj_q
if not subg_q:
yield cast(list[_Node], Q[:])
else:
cand_q = cand & adj_q
if cand_q:
stack.append((subg, cand, ext_u))
Q.append(None)
subg = subg_q
cand = cand_q
u = max(subg, key=lambda u: len(cand & adj[u]))
ext_u = cand - adj[u]
else:
Q.pop()
subg, cand, ext_u = stack.pop()
except IndexError:
pass