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import "stdlib/io.jou" | ||
import "stdlib/mem.jou" | ||
import "../grid.jou" | ||
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def direction_to_int(d: int[2]) -> int: | ||
if d[0] == 0 and d[1] == -1: | ||
return 0 | ||
if d[0] == 0 and d[1] == 1: | ||
return 1 | ||
if d[0] == -1 and d[1] == 0: | ||
return 2 | ||
if d[0] == 1 and d[1] == 0: | ||
return 3 | ||
assert False | ||
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def point_to_int(p: int[2]) -> int: | ||
x = p[0] | ||
y = p[1] | ||
assert 0 <= x and x < 150 and 0 <= y and y < 150 | ||
return 150*x + y | ||
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# Node.to_int() return values are smaller than this | ||
# TODO: global constants so this doesn't need to be a function | ||
def max_num_nodes() -> int: | ||
return 4*150*150 | ||
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class Node: | ||
location: int[2] | ||
last_direction: int[2] | ||
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def to_int(self) -> int: | ||
return 4*point_to_int(self->location) + direction_to_int(self->last_direction) | ||
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def get_neighbors_in_graph(self, grid: Grid*, nneighbors: int*, neighbors: Node[14]*, weights: int[14]*) -> None: | ||
*nneighbors = 0 | ||
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for sign = -1; sign <= 1; sign += 2: | ||
# Rotate direction +-90deg | ||
dx = sign*self->last_direction[1] | ||
dy = -sign*self->last_direction[0] | ||
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x = self->location[0] | ||
y = self->location[1] | ||
weight = 0 | ||
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for nsteps = 1; nsteps <= 10; nsteps++: | ||
x += dx | ||
y += dy | ||
if not grid->is_in_bounds([x, y]): | ||
break | ||
weight += grid->get([x, y]) - '0' | ||
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if nsteps >= 4: | ||
assert *nneighbors < 14 | ||
(*neighbors)[*nneighbors] = Node{location = [x,y], last_direction = [dx,dy]} | ||
(*weights)[*nneighbors] = weight | ||
++*nneighbors | ||
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def min(x: int, y: int) -> int: | ||
if x < y: | ||
return x | ||
return y | ||
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def dijkstra_algorithm(grid: Grid*, start1: Node, start2: Node, goal1: Node, goal2: Node) -> int: | ||
assert grid->is_in_bounds(goal1.location) | ||
assert grid->is_in_bounds(goal2.location) | ||
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distances: int* = calloc(sizeof(distances[0]), max_num_nodes()) | ||
nodes_with_distance_set: Node* = calloc(sizeof(nodes_with_distance_set[0]), max_num_nodes()) | ||
known_shortest: bool* = calloc(sizeof(known_shortest[0]), max_num_nodes()) | ||
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for i = 0; i < max_num_nodes(); i++: | ||
distances[i] = -1 | ||
distances[start1.to_int()] = 0 | ||
distances[start2.to_int()] = 0 | ||
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nodes_with_distance_set[0] = start1 | ||
nodes_with_distance_set[1] = start2 | ||
n_nodes_with_distance_set = 2 | ||
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while not (known_shortest[goal1.to_int()] and known_shortest[goal2.to_int()]): | ||
# pick the node with unknown-yet-to-be-smallest distance, whose distance is smallest | ||
current: Node* = NULL | ||
for i = 0; i < n_nodes_with_distance_set; i++: | ||
n = &nodes_with_distance_set[i] | ||
if (not known_shortest[n->to_int()]) and (current == NULL or distances[n->to_int()] < distances[current->to_int()]): | ||
current = n | ||
assert current != NULL | ||
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# for some reason that i don't understand, the distance of the node we picked is known to be smallest | ||
known_shortest[current->to_int()] = True | ||
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# update neighbor distances, if visiting through current makes them shorter | ||
neighbors: Node[14] | ||
nneighbors: int | ||
edge_weights: int[14] | ||
current->get_neighbors_in_graph(grid, &nneighbors, &neighbors, &edge_weights) | ||
for i = 0; i < nneighbors; i++: | ||
neighbor = neighbors[i] | ||
d = distances[current->to_int()] + edge_weights[i] | ||
if distances[neighbor.to_int()] == -1: | ||
distances[neighbor.to_int()] = d | ||
nodes_with_distance_set[n_nodes_with_distance_set++] = neighbor | ||
elif distances[neighbor.to_int()] > d: | ||
distances[neighbor.to_int()] = d | ||
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result = min(distances[goal1.to_int()], distances[goal2.to_int()]) | ||
free(distances) | ||
free(nodes_with_distance_set) | ||
free(known_shortest) | ||
return result | ||
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def main() -> int: | ||
f = fopen("input", "r") | ||
assert f != NULL | ||
grid = read_grid_from_file(f) | ||
fclose(f) | ||
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start1 = Node{location = [0,0], last_direction = [-1,0]} | ||
start2 = Node{location = [0,0], last_direction = [0,-1]} | ||
goal1 = Node{location = [grid.width - 1, grid.height - 1], last_direction = [1,0]} | ||
goal2 = Node{location = [grid.width - 1, grid.height - 1], last_direction = [0,1]} | ||
printf("%d\n", dijkstra_algorithm(&grid, start1, start2, goal1, goal2)) # Output: 94 | ||
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free(grid.data) | ||
return 0 |