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;

char s[(int)1e5+10];
int a[4];
int main()
{
	scanf("%s",s);
	int len=strlen(s);
	for(int i=0;i<len;i++)
	{
		a[s[i]-'a']++;
	}
	sort(a,a+3);
	if(a[2]-a[0]<=1)
	{
		puts("YES");
	}
	else
	{
		puts("NO");
	}




}
