// 1
#include <iostream>
#include <vector>

using namespace std;

bool flag = false;

void make(long long a, long long b, vector<long long> &p) {
  if(a == b) {
      flag = true;
  }
  else if(a > b) {
    //bad
  }
  else {
      p.push_back(a*2);
      make(a*2, b, p);
      if(!flag) {
        p.erase(p.end()-1);

        p.push_back(a*10+1);
        make(a*10+1, b, p);
        if(!flag) {
         p.erase(p.end()-1);
        }
      }
  }
}

int main()
{
    long long a, b;
    cin >> a >> b;
    vector<long long> p;
    p.push_back(a);

    make(a, b, p);

    if(p.size() == 1) {
        cout << "NO"<< endl;
        return 0;
    }
    cout << "YES" << endl;
    cout << p.size() << endl;
    for(int i = 0; i < p.size(); i++)
        cout << p[i] << ' ';

    return 0;
}