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#!/usr/bin/env python3
# Challenge 109
#
# TASK #2 - Four Squares Puzzle
# Submitted by: Mohammad S Anwar
# You are given four squares as below with numbers named a,b,c,d,e,f,g.
#
# (1) (3)
# +--------------+ +--------------+
# | | | |
# | a | | e |
# | | (2) | | (4)
# | +---+------+---+ +---+---------+
# | | | | | | | |
# | | b | | d | | f | |
# | | | | | | | |
# | | | | | | | |
# +----------+---+ +---+------+---+ |
# | c | | g |
# | | | |
# | | | |
# +--------------+ +-------------+
# Write a script to place the given unique numbers in the square box so that sum
# of numbers in each box is the same.
#
# Example
# Input: 1,2,3,4,5,6,7
#
# Output:
#
# a = 6
# b = 4
# c = 1
# d = 5
# e = 2
# f = 3
# g = 7
#
# Box 1: a + b = 6 + 4 = 10
# Box 2: b + c + d = 4 + 1 + 5 = 10
# Box 3: d + e + f = 5 + 2 + 3 = 10
# Box 4: f + g = 3 + 7 = 10
import sys
from itertools import permutations
# Note: return first solution found, not necessarily same as example
def place_numbers(nums):
for p in permutations(nums, 7):
a,b,c,d,e,f,g = p[0],p[1],p[2],p[3],p[4],p[5],p[6]
sum = a+b
if b + c + d == sum and d + e + f == sum and f + g == sum:
return p
result = place_numbers([int(x) for x in sys.argv[1:]])
for i in range(7):
print(chr(ord('a')+i)+" = "+str(result[i]))
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