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>
#define rep(i,a,b) for(int i=int(a);i<int(b);++i)
using namespace std;
typedef long long ll;
int INF = (1LL << 30) - 1;
int MOD = 1e9+7;
int main(){
    string S;
    cin >> S;
    int cnt[3] = {}, l = (S.size() + 2) / 3;
    for(auto c:S)cnt[c-'a']++;
    if(cnt[0] <= l && cnt[1] <= l && cnt[2] <= l)cout << "YES" << endl;
    else cout << "NO" << endl;
}