Problem:
Score : 100 points

Problem Statement

Iroha loves Haiku. Haiku is a short form of Japanese poetry. A Haiku consists of three phrases with 5, 7 and 5 syllables, in this order.

To create a Haiku, Iroha has come up with three different phrases. These phrases have A, B and C syllables, respectively. Determine whether she can construct a Haiku by using each of the phrases once, in some order.

Constraints

1≦A,B,C≦10

Input

The input is given from Standard Input in the following format:

A B C

Output

If it is possible to construct a Haiku by using each of the phrases once, print YES (case-sensitive). Otherwise, print NO.

Sample Input 1

5 5 7

Sample Output 1

YES

Using three phrases of length 5, 5 and 7, it is possible to construct a Haiku.

Sample Input 2

7 7 5

Sample Output 2

NO

Solution in Python (3.4.3) (judge verdict: Runtime Error)

M = 10**9 + 7
L = 200000
 
Fm = {}
inverseFm = {}
x = 1
for i in range(L):
    Fm[i] = x
    x = x * (i + 1) % M
 
def inverseFm(x):
    result = pow(Fm[x], M - 2, M)
    return result
 
def C(n, r):
    result = Fm[n] * inverseFm(r) * inverseFm(n - r) % M
    return result
 
def solve(H, W, A, B):
    result = 0
    for i in range(B + 1, W + 1):
        result += C(i + H - A - 1 - 1, i - 1) * C(W - i + A - 1, W - i)
    return result % M
 
H, W, A, B = [int(_) for _ in input().split()]
 
print(solve(H, W, A, B))