Six Blocks Two Towers

Six Blocks Two Towers

Problem:

Accept an input of 6 numbers which represent the height of blocks. Also accept 2 numbers which represent the height of the towers. Use the blocks to get the desired height of the towers by using 3 blocks for each tower. The result for each tower should be printed in descending order of the height of the blocks. 

Boundary Condition(s): 

1 <= Height of the blocks <= 1000 

3 <= Height of the towers <= 3000 

Input Format: 

The first line contains the height of the six blocks separated by a space. The second line contains the height of the two towers separated by a space. 

Output Format: 

The first line contains the height of the blocks forming tower1 (separated by a space) and then an ampersand which is again followed by the height of the blocks forming tower2 (separated by a space). 

Example Input/Output 1: 

Input: 

10 15 90 65 30 25 

135 100 

Output: 

90 30 15 & 65 25 10 

Example Input/Output 2: 

Input: 

45 30 12 18 10 40 

40 115 

Output: 

18 12 10 & 45 40 30

Program:

from itertools import combinations

l = list(map(int,input().split()))

x,y = map(int,input().split())

a,b = [],[]

for i in combinations(l,3): 

    if sum(i) == x and a==[]:

        a = list(i) 

    if sum(i) == y and b==[]:

        b = list(i)

print(*sorted(a)[::-1],"&",*sorted(b)[::-1])        

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