Limits
1s, 512 MB
You will be given two integers n and m where GCD(n,m)=1. You have to tell that how many numbers are there from 1 to m×n that is co-prime to:
- n but not with m,
- m but not with n, and
- both m and n.
Input
The only line of input contains two integers n and m (1≤n,m≤106). It is guaranteed that n and m are relatively prime.
Output
Output three numbers as mentioned above.
Samples
Input | Output |
---|
2 3 | 1 2 2 |
Input | Output |
---|
5 7 | 4 6 24 |
Please note that for relatively prime numbers n and m, Phi(n×m)=Phi(n)×Phi(m).
Factors
| CPU | Memory | Source |
---|
Bash 5.2 | 1× | 1× | 1× |
Brainf*ck | 1× | 1× | 1× |
C# Mono 6.0 | 1× | 1× | 1× |
C++17 GCC 13.2 | 1× | 1× | 1× |
C++20 Clang 16.0 | 1× | 1× | 1× |
C++20 GCC 13.2 | 1× | 1× | 1× |
C++23 GCC 13.2 | 1× | 1× | 1× |
C11 GCC 13.2 | 1× | 1× | 1× |
C17 GCC 13.2 | 1× | 1× | 1× |
C23 GCC 13.2 | 1× | 1× | 1× |
Common Lisp SBCL 2.0 | 1× | 1× | 1× |
D8 11.8 | 1× | 1× | 1× |
Erlang 22.3 | 1× | 1× | 1× |
Free Pascal 3.0 | 1× | 1× | 1× |
Go 1.22 | 1× | 1× | 1× |
Grep 3.7 | 1× | 1× | 1× |
Haskell 8.6 | 1× | 1× | 1× |
Java 1.8 | 1× | 1× | 1× |
Kotlin 1.1 | 1× | 1× | 1× |
Lua 5.4 | 1× | 1× | 1× |
Node.js 10.16 | 1× | 1× | 1× |
Perl 5.30 | 1× | 1× | 1× |
PHP 8.3 | 1× | 1× | 1× |
PyPy 7.1 (3.6) | 1× | 1× | 1× |
Python 3.12 | 1× | 1× | 1× |
Ruby 3.2 | 1× | 1× | 1× |
Rust 1.57 | 1× | 1× | 1× |
Swift 5.3 | 1× | 1× | 1× |
Whitespace | 1× | 1× | 1× |