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,n) for(int i=0;i<(n);i++)
#define ALL(v) (v).begin(),(v).end()
#define int long long
using namespace std;
typedef vector<int>   vint;
typedef pair<int,int> pint;

int cnt[3];

signed main()
{
    string s; cin>>s;
    REP(i,s.size()) cnt[s[i]-'a']++;
    
    sort(cnt,cnt+3);
    if(cnt[2]-cnt[0]<=1) cout<<"YES"<<endl;
    else cout<<"NO"<<endl;

}
