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 fi first
#define se second
#define mp make_pair
#define pb push_back
#define all(x) x.begin(),x.end()
#define dbg(x) cout<<#x<<":"<<x<<endl
typedef long long ll;
typedef pair<ll,ll> P;
typedef pair<ll,P> PP;

int main(){
  string s;
  cin>>s;
  int c[3]={};
  for(int i=0;i<s.size();i++){
    c[s[i]-'a']++;
  }
  int m=min({c[0],c[1],c[2]});
  c[0]-=m,c[1]-=m,c[2]-=m;
  if(max({c[0],c[1],c[2]})<2)cout<<"YES"<<endl;
  else cout<<"NO"<<endl;
  return 0;
}
