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First solution in 3rd party category for Hubspot Amulet by tigerhu3180
import numpy
from collections import deque
from itertools import product
P = [1, 2, 3]
CHANGE = [(x, y, z) for x, y, z in product((1, 0), repeat = 3) if not x* y* z]
B = [0, 225, 315]
def checkio(matrix):
matrix = numpy.array(list(zip(*matrix)))
temp = deque([B])
while temp:
b = temp.popleft()
ans = [round(i, 1) for i in numpy.linalg.solve(matrix, b)]
if all(-180 <= i <= 180 and int(i) == i for i in ans):
return [int(i) for i in ans]
x, y, z = b
for nx, ny, nz in CHANGE:
temp.append((x + 360 * nx, y + 360 * ny, z + 360 * nz))
#These "asserts" using only for self-checking and not necessary for auto-testing
if __name__ == '__main__':
def check_it(func, matrix):
result = func(matrix)
if not all(-180 <= el <= 180 for el in result):
print("The angles must be in range from -180 to 180 inclusively.")
return False
f, s, t = result
temp = [0, 0, 0]
temp[0] += f
temp[1] += matrix[0][1] * f
temp[2] += matrix[0][2] * f
temp[0] += matrix[1][0] * s
temp[1] += s
temp[2] += matrix[1][2] * s
temp[0] += matrix[2][0] * t
temp[1] += matrix[2][1] * t
temp[2] += t
temp = [n % 360 for n in temp]
if temp == [0, 225, 315]:
return True
else:
print("This is the wrong final position {0}.".format(temp))
return False
assert check_it(checkio,
[[1, 2, 3],
[3, 1, 2],
[2, 3, 1]]), "1st example"
assert check_it(checkio,
[[1, 4, 2],
[2, 1, 2],
[2, 2, 1]]), "2nd example"
assert check_it(checkio,
[[1, 2, 5],
[2, 1, 1],
[2, 5, 1]]), "3rd example"
Jan. 4, 2019
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