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brute force solution in Clear category for Hubspot Amulet by kdim
def checkio(matrix):
_, f2, f3 = matrix[0]
s1, _, s3 = matrix[1]
t1, t2, _ = matrix[2]
for f in range(-180, 181, 45):
for s in range(-180, 181, 45):
for t in range(-180, 181, 45):
temp = [(f + s * s1 + t * t1) % 360,
(f * f2 + s + t * t2) % 360,
(f * f3 + s * s3 + t) % 360]
if temp == [0, 225, 315]:
return [f, s, t]
#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"
Nov. 1, 2021
