#include<bits/stdc++.h>
using namespace std;
using ll=long long;
template<typename T>
ostream& operator << (ostream &out,const vector<T>&x){
	if(x.empty())return out<<"[]";
	out<<'['<<x[0];
	for(int len=x.size(),i=1;i<len;i++)out<<','<<x[i];
	return out<<']';
}
template<typename T>
vector<T> ary(const T *a,int l,int r){
	return vector<T>{a+l,a+1+r};
}
template<typename T>
void debug(T x){
	cerr<<x<<'\n';
}
template<typename T,typename ...S>
void debug(T x,S ...y){
	cerr<<x<<' ',debug(y...);
}
int a,b;
vector<string>ans;
void dfs(int a,int b){
	int g=__gcd(a,b);
	a/=g,b/=g;
	if(a==1&&b==1){
		return ans.push_back("cos");
	}
	if(a>b){
		dfs(b,a);
		ans.push_back("atan");
		ans.push_back("cos");
		ans.push_back("atan");
		ans.push_back("cos");
	}else{
		dfs(a,b-a);
		ans.push_back("atan");
		ans.push_back("sin");
	}
}
int main(){
	cin>>a>>b;
	dfs(a*a,b*b);
	cout<<ans.size()<<endl;
	for(string x:ans)cout<<x<<' ';
	cout<<endl;
	return 0;
}