Problem Statement

There is a sequence $A=(A_0,\\ldots,A_{N-1})$ of length $N$.
Determine if there exists a tuple of integers $(x,y,z,w)$ that satisfies all of the following conditions:

• $0 \\leq x < y < z < w \\leq N$
• $A_x + A_{x+1} + \\ldots + A_{y-1} = P$
• $A_y + A_{y+1} + \\ldots + A_{z-1} = Q$
• $A_z + A_{z+1} + \\ldots + A_{w-1} = R$

Constraints

• $3 \\leq N \\leq 2\\times 10^5$
• $1 \\leq A_i \\leq 10^9$
• $1 \\leq P,Q,R \\leq 10^{15}$
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

$N$ $P$ $Q$ $R$ $A_0$ $A_1$ $\\ldots$ $A_{N-1}$

Output

If there exists a tuple that satisfies the conditions, print Yes; otherwise, print No.

Sample Input 1

10 5 7 5
1 3 2 2 2 3 1 4 3 2

Sample Output 1

Yes

$(x,y,z,w)=(1,3,6,8)$ satisfies the conditions.

Sample Input 2

9 100 101 100
31 41 59 26 53 58 97 93 23

Sample Output 2

No

Sample Input 3

7 1 1 1
1 1 1 1 1 1 1

Sample Output 3

Yes