Romaji （CodeForces - 1008A ）

Vitya has just started learning Berlanese language. It is known that Berlanese uses the Latin alphabet. Vowel letters are "a", "o", "u", "i", and "e". Other letters are consonant.

In Berlanese, there has to be a vowel after every consonant, but there can be any letter after any vowel. The only exception is a consonant "n"; after this letter, there can be any letter (not only a vowel) or there can be no letter at all. For example, the words "harakiri", "yupie", "man", and "nbo" are Berlanese while the words "horse", "king", "my", and "nz" are not.

Help Vitya find out if a word ss is Berlanese.

Input

The first line of the input contains the string ss consisting of |s||s| (1≤|s|≤1001≤|s|≤100) lowercase Latin letters.

Output

Print "YES" (without quotes) if there is a vowel after every consonant except "n", otherwise print "NO".

You can print each letter in any case (upper or lower).

Examples

Input

sumimasen

Output

YES

Input

ninja

Output

YES

Input

codeforces

Output

NO

Note

In the first and second samples, a vowel goes after each consonant except "n", so the word is Berlanese.

In the third sample, the consonant "c" goes after the consonant "r", and the consonant "s" stands on the end, so the word is not Berlanese.

题解：大水题，可惜没看清题意wa了好多发，注意辅音后面紧跟元音如果跟n是输出NO的。

 #include<iostream>
 #include<cstdio>
 #include<cstdlib>
 #include<cstring>
 #include<string>
 #include<cmath>
 #include<map>
 #include<stack>
 #include<vector>
 #include<queue>
 #include<set>
 #include<algorithm>
 #define max(a,b)   (a>b?a:b)
 #define min(a,b)   (a<b?a:b)
 #define swap(a,b)  (a=a+b,b=a-b,a=a-b)
 #define maxn 320007
 #define N 100000000
 #define INF 0x3f3f3f3f
 #define mod 1000000009
 #define e  2.718281828459045
 #define eps 1.0e18
 #define PI acos(-1)
 #define lowbit(x) (x&(-x))
 #define read(x) scanf("%d",&x)
 #define put(x) printf("%d\n",x)
 #define memset(x,y) memset(x,y,sizeof(x))
 #define Debug(x) cout<<x<<" "<<endl
 #define lson i << 1,l,m
 #define rson i << 1 | 1,m + 1,r
 #define ll long long
 //std::ios::sync_with_stdio(false);
 //cin.tie(NULL);
 using namespace std;

 char a[];
 int b[];
 int main()
 {
     cin>>a;
     int l=strlen(a);
     for(int i=;i<l;i++)
     {
         if(a[i]!='a'&&a[i]!='e'&&a[i]!='i'&&a[i]!='o'&&a[i]!='u')
             b[a[i]-'a']++;
     }

     int i,flag=;
     for(i=;i<l-;i++)
     {
         if(b[a[i]-'a']&&a[i]!='n'&&b[a[i+]-'a'])
         {
             flag=;
             //cout<<i<<endl;
         }
     }
     if(!flag&&(!b[a[l-]-'a']||a[i]=='n'))
         cout<<"YES"<<endl;
     else
         cout<<"NO"<<endl;
     return ;
 }