In some countries of former Soviet Union there was a belief about lucky tickets. A transport ticket of any sort was believed to posess luck if sum of digits on the left half of its number was equal to the sum of digits on the right half. Here are examples of such numbers:
```
003111    #             3 = 1 + 1 + 1
813372    #     8 + 1 + 3 = 3 + 7 + 2
17935     #         1 + 7 = 3 + 5  // if the length is odd, you should ignore the middle number when adding the halves.
56328116  # 5 + 6 + 3 + 2 = 8 + 1 + 1 + 6
```
Such tickets were either eaten after being used or collected for bragging rights.

Your task is to write a funtion ```luck_check(str)```, which returns ```true/True``` if argument is string decimal representation of a lucky ticket number, or ```false/False``` for all other numbers. It should throw errors for empty strings or strings which don't represent a decimal number.

Difficulty: introductory

Starter code:

def luck_check(string):
	

Solutions:
def luck_check(string):
    e0, b1 = len(string) // 2, (len(string) + 1) // 2
    return sum(map(int, string[:e0])) == sum(map(int, string[b1:]))

def luck_check(s):
    if not s or not all(c in '0123456789' for c in s):
        raise ValueError('Invalid ticket number')
    e0, b1 = len(s) // 2, (len(s) + 1) // 2
    return sum(map(int, s[:e0])) == sum(map(int, s[b1:]))

luck_check = lambda s: sum(map(int,s[:len(s)//2])) == sum(map(int, s[len(s)//2 + len(s)%2:]))

def luck_check(string):
    lsum = 0
    rsum = 0
    i = 0
    j = len(string) - 1
    while i < j:
        lsum += int(string[i])
        rsum += int(string[j])
        i += 1
        j -= 1
    return lsum == rsum

def luck_check(s):
    q, r = divmod(len(s), 2)
    return sum(int(a) for a in s[:q]) == sum(int(b) for b in s[q + r:])