B - Nearly Lucky Number

Problem description

Petya loves lucky numbers. We all know that lucky numbers are the positive integers whose decimal representations contain only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.

Unfortunately, not all numbers are lucky. Petya calls a number nearly lucky if the number of lucky digits in it is a lucky number. He wonders whether number n is a nearly lucky number.

Input

The only line contains an integer n (1 ≤ n ≤ 10¹⁸).

Please do not use the %lld specificator to read or write 64-bit numbers in С++. It is preferred to use the cin, cout streams or the %I64d specificator.

Output

Print on the single line "YES" if n is a nearly lucky number. Otherwise, print "NO" (without the quotes).

Examples

Input

40047

Output

NO

Input

7747774

Output

YES

Input

1000000000000000000

Output

NO

Note

In the first sample there are 3 lucky digits (first one and last two), so the answer is "NO".

In the second sample there are 7 lucky digits, 7 is lucky number, so the answer is "YES".

In the third sample there are no lucky digits, so the answer is "NO".

解题思路：简单字符串处理。如果输入的字符串中出现'4'或'7'的次数总和num刚好为4次或7次，则输出"YES"。为什么只有4或7呢？因为规定的字符串长度最长为19，而幸运数字（只由4或7组成）有4，7，47...，第三个数47比最长长度值19还大，即num最大为19，所以只需看num是否为4或7，是则输出"YES"，否则输出"NO"。

AC代码：

 1 #include<bits/stdc++.h>
 2 using namespace std;
 3 int main(){
 4     char str[20];int num=0;
 5     cin>>str;
 6     for(int i=0;str[i]!='\0';++i)
 7         if(str[i]=='4' || str[i]=='7')num++;
 8     if(num==4 || num==7)cout<<"YES"<<endl;
 9     else cout<<"NO"<<endl;
10     return 0;
11 }