A string s of length n (1 ≤ n ≤ 26) is called alphabetical if it can be obtained using the following algorithm:

  * first, write an empty string to s (i.e. perform the assignment s := ""); 
  * then perform the next step n times; 
  * at the i-th step take i-th lowercase letter of the Latin alphabet and write it either to the left of the string s or to the right of the string s (i.e. perform the assignment s := c+s or s := s+c, where c is the i-th letter of the Latin alphabet). 



In other words, iterate over the n first letters of the Latin alphabet starting from 'a' and etc. Each time we prepend a letter to the left of the string s or append a letter to the right of the string s. Strings that can be obtained in that way are alphabetical.

For example, the following strings are alphabetical: "a", "ba", "ab", "bac" and "ihfcbadeg". The following strings are not alphabetical: "z", "aa", "ca", "acb", "xyz" and "ddcba".

From the given string, determine if it is alphabetical.

Input

The first line contains one integer t (1 ≤ t ≤ 10^4) — the number of test cases. Then t test cases follow.

Each test case is written on a separate line that contains one string s. String s consists of lowercase letters of the Latin alphabet and has a length between 1 and 26, inclusive.

Output

Output t lines, each of them must contain the answer to the corresponding test case. Output YES if the given string s is alphabetical and NO otherwise.

You can output YES and NO in any case (for example, strings yEs, yes, Yes and YES will be recognized as a positive answer).

Example

Input


11
a
ba
ab
bac
ihfcbadeg
z
aa
ca
acb
xyz
ddcba


Output


YES
YES
YES
YES
YES
NO
NO
NO
NO
NO
NO

Note

The example contains test cases from the main part of the condition.
#include <bits/stdc++.h> 
using namespace std;
#define     ll              long long
// #define     mp              make_pair
#define     rep(i,a,b)      for( i=a;i<b;++i)
#define     repr(i,a,b)     for( i=a;i>=b;i--)
#define     up              upper_bound
#define     lb              lower_bound
#define     t()             int test;cin>>test;while(test--)
#define     IOS             ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);

#define TRACE
#ifdef TRACE
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
    template <typename Arg1>
    void __f(const char* name, Arg1&& arg1){
        cout << name << " : " << arg1 << endl;
        //use cerr if u want to display at the bottom
    }
    template <typename Arg1, typename... Args>
    void __f(const char* names, Arg1&& arg1, Args&&... args){
        const char* comma = strchr(names + 1, ','); cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...);
    }
#else
#define trace(...)
#endif
 
ll const mod = 1000000007;

int main()
{  
    #ifndef ONLINE_JUDGE
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
    #endif
    IOS;
    ll t;
    cin >> t;
    while(t--){
        string s;
        cin >> s;
        ll n = s.length();
        ll i = n-1;
        bool flag = true;
        while(s.size() != 0){
            ll len = s.length();
            char c = 'a' + i;
            if(s[0] == c){
                s.erase(s.begin());
            }else if(s[len-1] == c){
                s.erase(s.begin() + (len - 1));
            }else{
                flag = false;
                break;
            }
            i--;
        }
        if((i < 0) && ((ll)s.length() == 0) && (flag)){
            cout << "YES" << "\n";
        }else{
            cout << "NO" << "\n";
        }
    }
    return 0;
}
