puzzle solve: a/bc+d/fe+g/hi = 1 , each letter represents a digit 1-9

puzzlesolv.py

"""
find a solution for a/bc + d/fe + g/hi = 1 where each letter represents
a unique digit
"""

import itertools
import math

for perm in itertools.permutations([1, 2, 3, 4, 5, 6, 7, 8, 9]):
    perm = [float(x) for x in perm]
    sumex = perm[0] / (perm[1] * 10 + perm[2]) + \
            perm[3] / (perm[4] * 10 + perm[5]) + \
            perm[6] / (perm[7] * 10 + perm[8])
    if math.fabs(abs(sumex - 1.0)) < 0.0001:
        print("Found permutation!")
        perm = [int(x) for x in perm]
        print("{}/{}{} + {}/{}{} + {}/{}{}".format(*perm))
        break