Snuke has a string S consisting of three kinds of letters: `a`, `b` and `c`.

He has a phobia for palindromes, and wants to permute the characters in S so that S will not contain a palindrome of length 2 or more as a substring. Determine whether this is possible.

Constraints

* 1 \leq |S| \leq 10^5
* S consists of `a`, `b` and `c`.

Input

Input is given from Standard Input in the following format:


S


Output

If the objective is achievable, print `YES`; if it is unachievable, print `NO`.

Examples

Input

abac


Output

YES


Input

aba


Output

NO


Input

babacccabab


Output

YES
#include <cmath>
#include <iostream>
using namespace std;
int main() {
    string s; cin >> s;
    int a = 0, b = 0, c = 0;
    for (char x : s) { if (x == 'a') a++; else if (x == 'b') b++; else c++; }
    cout << (abs(a-b) <= 1 && abs(b-c) <= 1 && abs(c-a) <= 1 ? "YES\n" : "NO\n");
}
