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 <bits/stdc++.h>
using namespace std;
#define rep(i,n) for(int i=0;i<int(n);++i)

int main(void){
    string s;
    cin>>s;
    int n = s.size();
    map<char,int> cnt;
    rep(i,n){
        cnt[s[i]]++;
    }
    int a[] = {cnt['a'],cnt['b'],cnt['c']};
    sort(a,a+3);
    cout<<((a[2] - a[0] <= 1) ? "YES" : "NO")<<endl;
    return 0;
}
