# a
def forall(pred, iterable):
    return all(pred(x) for x in iterable)


def exists(pred, iterable):
    return any(pred(x) for x in iterable)

def atleast(n, pred, iterable):
    return sum(1 for x in iterable if pred(x)) >= n

def atmost(n, pred, iterable):
    return sum(1 for x in iterable if pred(x)) <= n



if __name__ == "__main__":
    lists = [
        [],
        [1],
        [2,4,6,8],
        [2,2,2,2,2],
        [1,1,1,1,1],
        [1,2,3,4,5],
        [10,20,30],
    ]

    print("2.a")
    for l in lists:
        print(f"{l} all even: {forall(lambda x: x % 2 == 0, l)}")

    print("2.b")
    for l in lists:
        print(f"{l} exists value equal to 1: {exists(lambda x: x == 1, l)}")

    print("2.c")
    for l in lists:
        print(f"{l} at least 2 even values: {atleast(2, lambda x: x % 2 == 0, l)}")

    print("2.d")
    for l in lists:
        print(f"{l} at most 2 even values: {atmost(2, lambda x: x % 2 == 0, l)}")