ENTRY_POINT = 'is_simple_power'
#[PROMPT]

def is_simple_power(x, n):
    """Your task is to write a function that returns true if a number x is a simple
    power of n and false in other cases.
    x is a simple power of n if n**int=x
    For example:
    is_simple_power(1, 4) => true
    is_simple_power(2, 2) => true
    is_simple_power(8, 2) => true
    is_simple_power(3, 2) => false
    is_simple_power(3, 1) => false
    is_simple_power(5, 3) => false
    """
#[SOLUTION]
    if (n == 1): 
        return (x == 1) 
    power = 1
    while (power < x): 
        power = power * n 
    return (power == x) 
#[CHECK]
def check(candidate):

    # Check some simple cases
    assert candidate(16, 2)== True, "This prints if this assert fails 1 (good for debugging!)"
    assert candidate(143214, 16)== False, "This prints if this assert fails 1 (good for debugging!)"
    assert candidate(4, 2)==True, "This prints if this assert fails 1 (good for debugging!)"
    assert candidate(9, 3)==True, "This prints if this assert fails 1 (good for debugging!)"
    assert candidate(16, 4)==True, "This prints if this assert fails 1 (good for debugging!)"
    assert candidate(24, 2)==False, "This prints if this assert fails 1 (good for debugging!)"
    assert candidate(128, 4)==False, "This prints if this assert fails 1 (good for debugging!)"
    assert candidate(12, 6)==False, "This prints if this assert fails 1 (good for debugging!)"

    # Check some edge cases that are easy to work out by hand.
    assert candidate(1, 1)==True, "This prints if this assert fails 2 (also good for debugging!)"
    assert candidate(1, 12)==True, "This prints if this assert fails 2 (also good for debugging!)"

