Compare commits
4 commits
1a0a231bd7
...
0f949820e1
| Author | SHA1 | Date | |
|---|---|---|---|
 Bruno BELANYI
|
0f949820e1 | ||
|
Bruno BELANYI
|
5e8eb3d7f2 | ||
|
Bruno BELANYI
|
4c11e798bd | ||
|
Bruno BELANYI
|
3837f06467 |
73
2023/d21/ex1/ex1.py
Executable file
73
2023/d21/ex1/ex1.py
Executable file
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@ -0,0 +1,73 @@
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#!/usr/bin/env python
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import sys
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from collections import defaultdict, deque
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from typing import NamedTuple, Optional
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class Point(NamedTuple):
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x: int
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y: int
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GardenPoints = set[Point]
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def solve(input: list[str]) -> int:
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def parse(input: list[str]) -> tuple[GardenPoints, Point]:
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start: Optional[Point] = None
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points: GardenPoints = set()
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for x, line in enumerate(input):
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for y, c in enumerate(line):
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if c == "#":
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continue
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if c == "S":
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start = Point(x, y)
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points.add(Point(x, y))
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assert start is not None # Sanity check
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return points, start
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def explore(points: GardenPoints, start: Point) -> dict[Point, int]:
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res: dict[Point, int] = {}
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queue: deque[tuple[Point, int]] = deque([(start, 0)])
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while queue:
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point, dist = queue.popleft()
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# If we already saw the point, then we saw it at a smaller distance
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if point in res:
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continue
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# If it's not an actual garden point (rocks, out-of-bounds), don't log it
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if point not in points:
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continue
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res[point] = dist
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for dx, dy in (
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(-1, 0),
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(1, 0),
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(0, -1),
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(0, 1),
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):
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queue.append((Point(point.x + dx, point.y + dy), dist + 1))
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return res
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def reachable_in(distances: dict[Point, int], steps: int) -> set[Point]:
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inverse_dist: dict[int, list[Point]] = defaultdict(list)
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for p, dist in distances.items():
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inverse_dist[dist].append(p)
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return set(p for i in range(steps % 2, steps + 1, 2) for p in inverse_dist[i])
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points, start = parse(input)
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distances = explore(points, start)
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return len(reachable_in(distances, 64))
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def main() -> None:
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input = sys.stdin.read().splitlines()
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print(solve(input))
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if __name__ == "__main__":
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main()
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131
2023/d21/ex1/input
Normal file
131
2023/d21/ex1/input
Normal file
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@ -0,0 +1,131 @@
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...................................................................................................................................
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....#.............#...............#.......#..........#..................##..........#.....#..................##...#...#..........#.
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...............#......#........#.......#........#.........................#.....#........#........#...#....#....#.........#....##..
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..#........#........#.##........#....#...#.....................................#................#.#...#..#....................#....
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...................#.............#........#.....#........#.........................#.......#...#.........#...........#...........#.
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...##.#....#...#.#..#....#.......##..#.....#..#..#......#.......#.........#.#.......#....#........#.....#.#...#................#...
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............#....#.........#.#..............##..................................#.#.......#.#..........#...#..#.#......##..#.......
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..................#...##............#.....#.....#.....#......................#..#.............................#....##..#...#.#.....
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............#.............#.........#........................##..............#.#....#.............#..........#.....#...............
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................#..#...##........#...#............#..................#.........#.....#..............#....#................#........
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.#...#...#..#.#...#............#....#..#.#.........#............#.#.#..#..................#.##....#.............#..................
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....#..#....#......#..#..##...#.#..#...##.........................#...................#..........#..#.......#...##.....#.....#.....
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....................#..........................##................................#.....................#................#.....#.##.
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..............#..............#..#..#.......#....#....................................#.........#..........#.#...............#.##...
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........#......#.#.........#.......#..........#..................................................................#........#..#..#..
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.................#.......##.......##......#..................#..#.......#....................#....#............#.......#.......#.#.
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.....##.......#......#...#.#....#..#.................#.#....#.....#.............................#..#.........#.#.................#.
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.......................#.....#...##...##..................................#....................##....##..........#..#..............
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.#.......#....##.....#........#..............................#.....#....#.....................#........#..#..#.......#.#....#....#.
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......##.................#..#.....................#...........................#.........................#...................#......
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.........................................#........#..................#...##.......#..........#........#..........#..#..............
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||||
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|
||||
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|
||||
..#.........#...............#.......#....#..........#.....#.................#..#...##.#......................................#.....
|
||||
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|
||||
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|
||||
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|
||||
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||||
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||||
.........................#.....#.....#........................#.........#.#...#............................#.....#.................
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........#........#.........................##...............#.#.#......#......#......#..#.........#.....#.................#........
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...............##..........#...........................#.....#....#.....#.#...................#.............#...............#......
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.................##...#....#..........#..##..##..........#......#..#..............##...#.#......#......#......#..#.......#.........
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||||
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||||
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||||
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|
||||
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|
||||
....#.#........##......................#.#.#.#..#.....#..#....##...#....##...#.#...#......#......................#.................
|
||||
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|
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.....................#..##.##.....#......#.........#..##...#...............#.#.#........#..#...#...........#...#...................
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||||
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||||
.......##..#..............#.........#.....#.......#...##.###...........#.#..........##.........................................#...
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|
||||
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|
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|
||||
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|
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|
||||
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|
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|
||||
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|
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|
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|
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|
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|
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|
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|
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....#......#....#......#...................#.........#.......##.......................#..................###........###.......#....
|
||||
..........#...#......#........#..........#.........#.......#....#............#.....##......................#...........#..##..#.#..
|
||||
.###.#.##......#.#........................#.#..#...................#.......#....#................##...#..#...#..#..#.###....#......
|
||||
.....#.#......................................#.............#......#............................#..................................
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||||
..................#...............##.................#.........................#.................#.......#..##.#..##.....#..#......
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...........#.........#.#...#....#.......................#.........#............#.#...#............##............#..................
|
||||
.....#........#.............#..#..................#..#......#...#.#.......#.....................#..................................
|
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..................#.#..............##..........#..........##....................................#.#............#.#.....#........#..
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.....#.#.##....#..............#..........................#......#....#...#.....................................#...#..#.#.....#....
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|
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............#.......#.............#......#...............#......#.##.....#..#......................#....#.....#...........#..##....
|
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|
||||
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|
||||
...#........#..#.#............##............#.........###....#.#.....#....#.............##................#.......#..##.......#.#..
|
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...........#.........#..#...........#...................#......#.....#.....................#...........#.....#.....................
|
||||
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|
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......#...........#............##.#.#...#...............#..#......##...........................#...#..#.#.......#.....#.........##.
|
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...........#.#..#................#.......#......#............#..#.....#...............#....#.......#.#..#.#......#....#............
|
||||
...#..............................................................#................#.....#.........................................
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||||
.................##.....................#.#....#..............#....................................#..............#.#..............
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.............##.............#..##..................#..............#............#.................#........................#.#......
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...........................#.....#..#..##.....##............#..#.......................#.....#..#.....#..#.....#........#....#.....
|
||||
..........#.................#........#.......................................#.#...#..###...###.#...........#...#..................
|
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..#....#.........#....#.........#....#.....#...................#............#....#.......#...#......#......#.#..........##..#......
|
||||
...#........................#..#...........#...##..........................###................#.#.......#..................#.......
|
||||
.......#.#............#.......#.....#.............................#.........#......#......................#........#...#.......#...
|
||||
.#.#..#.........................#..........#......................................#...........#..#...............#......##.........
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||||
...#..............#......#.##....##.#...#..........##............................#.#.#........#.#........#....##.............#.....
|
||||
....................#...............#..#........#...........................................##..........#.#.....#....#.#...#.......
|
||||
.......................#........##..............#........#....................#.......#...#....#...........##........#....#.....#..
|
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...................................................................................................................................
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95
2023/d21/ex2/ex2.py
Executable file
95
2023/d21/ex2/ex2.py
Executable file
|
|
@ -0,0 +1,95 @@
|
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#!/usr/bin/env python
|
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|
||||
import sys
|
||||
from typing import Iterator, NamedTuple, Optional
|
||||
|
||||
|
||||
class Point(NamedTuple):
|
||||
x: int
|
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y: int
|
||||
|
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|
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GardenPoints = set[Point]
|
||||
|
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GRID_SIZE = 131
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MID_GRID = 65
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STEPS = 26501365
|
||||
|
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|
||||
def solve(input: list[str]) -> int:
|
||||
def parse(input: list[str]) -> tuple[GardenPoints, Point]:
|
||||
start: Optional[Point] = None
|
||||
points: GardenPoints = set()
|
||||
|
||||
for x, line in enumerate(input):
|
||||
for y, c in enumerate(line):
|
||||
if c == "#":
|
||||
continue
|
||||
if c == "S":
|
||||
start = Point(x, y)
|
||||
points.add(Point(x, y))
|
||||
|
||||
assert start is not None # Sanity check
|
||||
return points, start
|
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|
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def step(points: GardenPoints, positions: set[Point]) -> set[Point]:
|
||||
res: set[Point] = set()
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||||
|
||||
for p in positions:
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for dx, dy in (
|
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(-1, 0),
|
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(1, 0),
|
||||
(0, -1),
|
||||
(0, 1),
|
||||
):
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x = p.x + dx
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y = p.y + dy
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# Check if the *wrapped* point is part of the garden
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px = (x + GRID_SIZE) % GRID_SIZE
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py = (y + GRID_SIZE) % GRID_SIZE
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if Point(px, py) not in points:
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||||
continue
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res.add(Point(x, y))
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return res
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||||
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||||
def compute_quadratic(points: GardenPoints, start: Point) -> int:
|
||||
def iterate() -> Iterator[int]:
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||||
positions = {start}
|
||||
while True:
|
||||
yield len(positions)
|
||||
positions = step(points, positions)
|
||||
|
||||
values: list[tuple[int, int]] = []
|
||||
for i, num in enumerate(iterate()):
|
||||
if i % GRID_SIZE != MID_GRID:
|
||||
continue
|
||||
values.append((i, num))
|
||||
if len(values) == 3:
|
||||
break
|
||||
|
||||
# Lagrange interpolation
|
||||
(x1, y1), (x2, y2), (x3, y3) = values
|
||||
x = STEPS
|
||||
return (
|
||||
0
|
||||
# Use integer division as it happens to work in our case
|
||||
+ ((x - x2) * (x - x3)) * y1 // ((x1 - x2) * (x1 - x3))
|
||||
+ ((x - x1) * (x - x3)) * y2 // ((x2 - x1) * (x2 - x3))
|
||||
+ ((x - x1) * (x - x2)) * y3 // ((x3 - x1) * (x3 - x2))
|
||||
)
|
||||
|
||||
assert len(input) == GRID_SIZE # Sanity check
|
||||
assert len(input[0]) == GRID_SIZE # Sanity check
|
||||
points, start = parse(input)
|
||||
assert start == Point(MID_GRID, MID_GRID) # Sanity check
|
||||
return compute_quadratic(points, start)
|
||||
|
||||
|
||||
def main() -> None:
|
||||
input = sys.stdin.read().splitlines()
|
||||
print(solve(input))
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
main()
|
||||
131
2023/d21/ex2/input
Normal file
131
2023/d21/ex2/input
Normal file
|
|
@ -0,0 +1,131 @@
|
|||
...................................................................................................................................
|
||||
....#.............#...............#.......#..........#..................##..........#.....#..................##...#...#..........#.
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
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|
||||
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|
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
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|
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|
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|
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|
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|
||||
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|
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|
||||
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|
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|
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|
||||
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|
||||
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||||
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||||
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|
||||
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|
||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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|
||||
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||||
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||||
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|
||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
.......................#........##..............#........#....................#.......#...#....#...........##........#....#.....#..
|
||||
...................................................................................................................................
|
||||
Loading…
Reference in a new issue