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,s,n) for(int i=s; i<n; ++i)
#define rep(i,n) REP(i,0,n)
#define SORT(c) sort((c).begin(),(c).end())
#define IINF INT_MAX
#define LLINF LLONG_MAX
#define DEBUG false

typedef long long ll;
typedef pair<int, int> ii;

int main(){

	string s;
	cin >> s;
	vector<int> cnt(3, 0);

	rep(i, s.size()) cnt[s[i] - 'a']++;
	if(abs(cnt[0] - cnt[1]) <= 1 && abs(cnt[1] - cnt[2]) <= 1 && abs(cnt[0] - cnt[2]) <= 1) cout << "YES" << endl;
	else cout << "NO" << endl;

	return 0;
}
