solve.py

# Musab K.
from string import ascii_letters
from itertools import combinations

nums = [list(sorted([int(y) for y in x.split(" ")])) for x in open("numlist.txt", "r").read().replace("\n\n", "\n").split("\n")[:-1]]
all_nums = []
for l in nums:
    for n in l:
        if not n in all_nums:
            all_nums.append(n)

all_nums.sort()

P = []
for i in range(len(all_nums)):
    n = all_nums[i]
    p = []
    inc = 0
    for l in nums:
        if n in l:
            inc += 1
            for a in l:
                if not a in p:
                    p.append(a)

    for c in combinations(p, 3):
        c = list(sorted(c))
        if not c in nums:
            print("ERR 1")
            exit()
        nums.remove(c)

    if inc > 0:
        if inc != (len(p) - 1) * (len(p) - 2) / 2:
            print("ERR 2")
            exit()
        P.append(p)

for i in range(len(all_nums)):
    n = all_nums[i]
    A = []
    for j, p in enumerate(P):
        if n in p or -n in p:
            A.append(p)
    if len(A) != 2:
        print("ERR 3")
        exit()

for p in P:
    print(p)

print(len(all_nums)//2, ">", len(P)*2)