Problem: Given any integer x, Aoki can do the operation below.  Operation: Replace x with the absolute difference of x and K.  You are given the initial value of an integer N. Find the minimum possible value taken by N after Aoki does the operation zero or more times.

Submission attempts (in order):
import sys, re, os
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians
from fractions import gcd
from itertools import permutations, combinations, product, accumulate
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from functools import reduce
from bisect import bisect_left, insort_left
from heapq import heapify, heappush, heappop

INPUT = lambda: sys.stdin.readline().rstrip()
INT = lambda: int(INPUT())
MAP = lambda: map(int, INPUT().split())
S_MAP = lambda: map(str, INPUT().split())
LIST = lambda: list(map(int, INPUT().split()))
S_LIST = lambda: list(map(str, INPUT().split()))
ZIP = lambda: zip(*(MAP() for _ in range(n)))

sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10 ** 9 + 7


def main():
    N, K = MAP()

    print(0 if N%K == 0 else gcd(N, K))


if __name__ == '__main__':
    main()


import sys, re, os
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians, gcd
# from fractions import gcd
from itertools import permutations, combinations, product, accumulate
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from functools import reduce
from bisect import bisect_left, insort_left
from heapq import heapify, heappush, heappop

INPUT = lambda: sys.stdin.readline().rstrip()
INT = lambda: int(INPUT())
MAP = lambda: map(int, INPUT().split())
S_MAP = lambda: map(str, INPUT().split())
LIST = lambda: list(map(int, INPUT().split()))
S_LIST = lambda: list(map(str, INPUT().split()))
ZIP = lambda: zip(*(MAP() for _ in range(n)))

sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10 ** 9 + 7


def main():
    N, K = MAP()

    ans = gcd(N, K) 
    print(0 if ans == 1 else ans)


if __name__ == '__main__':
    main()


import sys, re, os
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians
from fractions import gcd
from itertools import permutations, combinations, product, accumulate
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from functools import reduce
from bisect import bisect_left, insort_left
from heapq import heapify, heappush, heappop

INPUT = lambda: sys.stdin.readline().rstrip()
INT = lambda: int(INPUT())
MAP = lambda: map(int, INPUT().split())
S_MAP = lambda: map(str, INPUT().split())
LIST = lambda: list(map(int, INPUT().split()))
S_LIST = lambda: list(map(str, INPUT().split()))
ZIP = lambda: zip(*(MAP() for _ in range(n)))

sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10 ** 9 + 7


def main():
    N, K = MAP()

    ans = gcd(N, K) 
    print(0 if ans == 1 else ans)


if __name__ == '__main__':
    main()


import sys, re, os
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians
# from fractions import gcd
from itertools import permutations, combinations, product, accumulate
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from functools import reduce
from bisect import bisect_left, insort_left
from heapq import heapify, heappush, heappop

INPUT = lambda: sys.stdin.readline().rstrip()
INT = lambda: int(INPUT())
MAP = lambda: map(int, INPUT().split())
S_MAP = lambda: map(str, INPUT().split())
LIST = lambda: list(map(int, INPUT().split()))
S_LIST = lambda: list(map(str, INPUT().split()))
ZIP = lambda: zip(*(MAP() for _ in range(n)))

sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10 ** 9 + 7


def main():
    N, K = MAP()

    r = N%K
    if r == 0:
        print(0)
    else:
        if 2*r > K:
            print(abs(r - K))
        else:
            print(r)


if __name__ == '__main__':
    main()


Verdicts: Wrong Answer

Runtime Error

Wrong Answer

Accepted