題目描述

Vasya is studying number theory. He has denoted a function f(a, b) such that:

• f(a, 0) = 0;
• f(a, b) = 1 + f(a, b - gcd(a, b)), where gcd(a, b) is the greatest common divisor of a and b.

Vasya has two numbers x and y, and he wants to calculate f(x, y). He tried to do it by himself, but found out that calculating this function the way he wants to do that might take very long time. So he decided to ask you to implement a program that will calculate this function swiftly.

輸入格式

The first line contains two integer numbers x and y (1 ≤ x, y ≤ 10¹²).

輸出格式

Print f(x, y).

Samples

["3 5","6 3"]

["3","1"]

原始資料

• Zero1 題號：a659
• Hydro 題號：Z0659
• Locale：zh_TW
• Display：practice