from fractions import Fraction def main(): p, q = list(map(int, input().split())) invp = pow(p, q - 2, q) sqrt = min(q, 5 * 10 ** 5) # lower lower = Fraction(0, 1) def go1(x): nonlocal lower f = Fraction(int(p * x // q), x) lower = max(lower, f) for x in range(1, sqrt): # go1(x) go1(q - x) for y in range(1, sqrt): # px mod q = y go1(y * invp % q) # upper upper = Fraction(p, 1) def go2(x): nonlocal upper f = Fraction(int(p * x // q + 1), x) upper = min(upper, f) for x in range(1, sqrt): go2(x) # go2(q - x) for y in range(q - sqrt + 1, q): # px mod q = y go2(y * invp % q) import sys print(upper, file=sys.stderr) print(lower, file=sys.stderr) print(upper.numerator + upper.denominator + lower.numerator + lower.denominator) main()