Yaroslav has an array that consists of n integers. In one second Yaroslav can swap two neighboring array elements. Now Yaroslav is wondering if he can obtain an array where any two neighboring elements would be distinct in a finite time.

Help Yaroslav.

Input

The first line contains integer n (1 ≤ n ≤ 100) — the number of elements in the array. The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 1000) — the array elements.

Output

In the single line print "YES" (without the quotes) if Yaroslav can obtain the array he needs, and "NO" (without the quotes) otherwise.

Examples

Input

1
1


Output

YES


Input

3
1 1 2


Output

YES


Input

4
7 7 7 7


Output

NO

Note

In the first sample the initial array fits well.

In the second sample Yaroslav can get array: 1, 2, 1. He can swap the last and the second last elements to obtain it.

In the third sample Yarosav can't get the array he needs.
# It's all about what U BELIEVE
def gint(): return int(input())
def gint_arr(): return list(map(int, input().split()))
def gfloat(): return float(input())
def gfloat_arr(): return list(map(float, input().split()))
def pair_int(): return map(int, input().split())
###############################################################################
INF = (1 << 31)
dx = [-1, 0, 1,  0]
dy = [ 0, 1, 0, -1]
###############################################################################
############################ SOLUTION IS COMING ###############################
###############################################################################
n = gint()

if n == 1:
    print("YES")
    exit()

a = gint_arr()
from collections import Counter
cnt = Counter(a)
for x in cnt.values():
    if x > int(n / 2) + (n % 2):
        print("NO")
        exit()

print("YES")
