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;
using ll = long long;

const int INF = 1e9;
const double PI = acos(-1.0);
const ll MOD = 1e9 + 7;

#define sz(x) ((int)(x).size())
#define all(x) (x).begin(), (x).end()
#define debug(x) cout << #x << ": " << x << endl;
#define popcnt __builtin_popcount


int main() {
    string s; cin>>s;
    int N = sz(s);
    map<char, int> cnt;
    for(int i = 0; i < N; i++)cnt[s[i]]++;
    if(abs(cnt['a']-cnt['b'])<=1&&abs(cnt['b']-cnt['c'])<=1&&abs(cnt['c']-cnt['a'])<=1)puts("YES");
    else puts("NO");
    return 0;
}