40 lines
871 B
Python
40 lines
871 B
Python
from math import sqrt
|
|
|
|
|
|
def distance(p1, p2) -> float:
|
|
return (p1[0] - p2[0]) ** 2 + (p1[1] - p2[1]) ** 2
|
|
|
|
|
|
def points(k: int):
|
|
s = 290797
|
|
mod = 50515093
|
|
# s = 5
|
|
# mod = 23
|
|
points = []
|
|
for _ in range(k):
|
|
sn = (s ** 2) % mod
|
|
p = (s, sn)
|
|
points.append(p)
|
|
s = (sn ** 2) % mod
|
|
return points
|
|
|
|
|
|
def euler_816():
|
|
ps = sorted(points(2000000), key=lambda p: p[0])
|
|
d_min = float("inf")
|
|
sweep_dist = 5 # heuristic
|
|
for i in range(len(ps)):
|
|
for j in range(i, min(i + sweep_dist, len(ps))):
|
|
if i == j:
|
|
continue
|
|
d = distance(ps[i], ps[j])
|
|
if d < d_min:
|
|
d_min = d
|
|
return round(sqrt(d_min), 9)
|
|
|
|
|
|
if __name__ == "__main__":
|
|
solution = euler_816()
|
|
print("e816.py: " + str(solution))
|
|
assert(solution == 20.880613018)
|