727A - Transformation from A to B - CodeForces Solution

a,b=map(int,input().split(" "))
def transform(a,b,temp,result):
        if a>b:
        return
    if a==b:
        result.append(temp.copy())
        return
    temp.append(2*a)
    transform(2*a,b,temp,result)
    temp.pop()
    temp.append(10*a+1)
    transform(10*a+1,b,temp,result)
    temp.pop()
    
temp=[]
result=[]
temp.append(a)
transform(a,b,temp,result)
if len(result)==0:
    print("NO")
else:
    print("YES")
    print(len(result[0]))
    for i in result[0]:
        print(i,end=" ")