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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
.vscode
build
files

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

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@ -1,58 +1,7 @@
from typing import Any, Iterator
from ..base import BaseSolver
from ..tools import graphs
class Solver(BaseSolver):
def print_grid(self, grid: list[tuple[int, int]], n_rows: int, n_cols: int):
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
def solve(self, input: str) -> Iterator[Any]: ...

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@ -1,42 +1,7 @@
from functools import cache
from typing import Any, Iterator
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):
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))
def solve(self, input: str) -> Iterator[Any]: ...

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@ -1,95 +1,7 @@
import itertools
from collections import Counter
from typing import Any, Callable, Iterable, Iterator, Sequence, TypeAlias
from typing import Any, Iterator
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):
def find_cheats(
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())
def solve(self, input: str) -> Iterator[Any]: ...

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@ -1,85 +1,7 @@
import itertools
from functools import cache
from typing import Any, Iterator, Literal
from typing import Any, Iterator
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):
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()
)
def solve(self, input: str) -> Iterator[Any]: ...

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@ -3,57 +3,5 @@ from typing import Any, Iterator
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):
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)
def solve(self, input: str) -> Iterator[Any]: ...

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@ -1,36 +1,7 @@
from collections import defaultdict
from typing import Any, Iterator
from ..base import BaseSolver
from ..tools.graphs import iter_max_cliques
class Solver(BaseSolver):
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))
def solve(self, input: str) -> Iterator[Any]: ...

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@ -1,170 +1,7 @@
from dataclasses import dataclass
from typing import Any, Iterator, Literal, TypeAlias, cast
from typing import Any, Iterator
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):
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))
def solve(self, input: str) -> Iterator[Any]: ...

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@ -1,40 +1,7 @@
import itertools as it
from typing import Any, Iterator
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):
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)
)
def solve(self, input: str) -> Iterator[Any]: ...

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@ -12,29 +12,10 @@ from .utils.files import SimpleFileHandler
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():
parser = argparse.ArgumentParser("Holt59 Advent-Of-Code Runner")
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("-a", "--api", action="store_true", help="API mode")
parser.add_argument(
"-o",
@ -80,13 +61,9 @@ def main():
handlers=[LoggerAPIHandler()] if api else None,
)
if input_path is None or not input_path.exists():
input_path = find_input_file(
Path(__file__).parent.joinpath(
"inputs", "tests" if test else user, str(year)
),
day,
input_path,
if input_path is None:
input_path = Path(__file__).parent.joinpath(
"inputs", "tests" if test else user, str(year), f"day{day}.txt"
)
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