#include<cstdio>
#include<cstring>
#include<iostream>
using namespace std;
int a,b,plan[1000000];
void dfs(int step,int num)
{
	if(num == b)
	{
		cout<<"YES"<<endl<<step-1<<endl;
		for(int i=1;i<=step-1;i++)
			cout<<plan[i]<<" ";
		exit(0);
	}
	if(num > b)return;
	plan[step] = 2 * num;
	dfs(step + 1,num * 2);
	plan[step] = 10 * num + 1;
	dfs(step + 1,num * 10 + 1);
}
int main(){
	cin>>a>>b;
	plan[1] = a;
	dfs(2,a);
	cout<<"NO";
	return 0;
}