print(
    "task: Graf2\nПостроение матрицы инцидентности неориентированного графа по матрице смежности"
)

import random


def create_file():
    n = random.randint(3, 6)
    with open("FileName1", "w") as f:
        f.write(str(n) + "\n")
        for i in range(n):
            row = []
            for j in range(n):
                if i == j:
                    row.append("0")
                else:
                    row.append(str(random.randint(0, 1)))
            f.write(" ".join(row) + "\n")


def read_graph():
    try:
        with open("FileName1") as f:
            n = int(f.readline())
            a = [list(map(int, f.readline().split())) for _ in range(n)]
        return n, a
    except:
        return None, None


def build_incidence(n, a):
    edges = []
    for i in range(n):
        for j in range(i, n):
            if a[i][j] != 0:
                edges.append((i, j))
    m = len(edges)
    b = [[0] * m for _ in range(n)]
    for idx, (i, j) in enumerate(edges):
        b[i][idx] = 1
        b[j][idx] = 1
    return m, b


def write_result(n, m, b):
    with open("FileName2", "w") as f:
        f.write(f"{n} {m}\n")
        for row in b:
            f.write(" ".join(map(str, row)) + "\n")


while True:
    print("\n1 - создать файл FileName1")
    print("2 - выполнить задачу (результат в FileName2)")
    print("0 - выход")
    c = input(">> ")
    if c == "1":
        create_file()
        print("FileName1 создан")
    elif c == "2":
        n, a = read_graph()
        if n is None:
            print("ошибка чтения FileName1")
            continue
        m, b = build_incidence(n, a)
        write_result(n, m, b)
        print("результат записан в FileName2")
    elif c == "0":
        break