import sys
input = sys.stdin.readline

n, s = map(int, input().split())

a = [1, 2]
for i in range(n - 2):
	a.append(a[i] + a[i + 1])
if(sum(a) < s):
	print("No")
	exit(0)

print("Yes")
cnt = 0
ans = []
for i in range(n - 1, -1, -1):
	if(a[i] <= s):
		ans.append(i + 1)
		cnt += 1
		s -= a[i];
	if(s == 0):
		break
print(cnt)
print(*ans)