Problem: There are n digital panels placed in a straight line. Each panel can show any digit from 0 to 9. Initially, all panels show 0.

Every second, the digit shown by each panel increases by 1. In other words, at the end of every second, a panel that showed 9 would now show 0, a panel that showed 0 would now show 1, a panel that showed 1 would now show 2, and so on.

When a panel is paused, the digit displayed on the panel does not change in the subsequent seconds.

You must pause exactly one of these panels, at any second you wish. Then, the panels adjacent to it get paused one second later, the panels adjacent to those get paused 2 seconds later, and so on. In other words, if you pause panel x, panel y (for all valid y) would be paused exactly |x−y| seconds later.

For example, suppose there are 4 panels, and the 3-rd panel is paused when the digit 9 is on it.

  * The panel 1 pauses 2 seconds later, so it has the digit 1; 
  * the panel 2 pauses 1 second later, so it has the digit 0; 
  * the panel 4 pauses 1 second later, so it has the digit 0. 



The resulting 4-digit number is 1090. Note that this example is not optimal for n = 4.

Once all panels have been paused, you write the digits displayed on them from left to right, to form an n digit number (it can consist of leading zeros). What is the largest possible number you can get? Initially, all panels show 0.

Input

The first line of the input contains a single integer t (1 ≤ t ≤ 100) — the number of test cases. Each test case consists of a single line containing a single integer n (1 ≤ n ≤ 2⋅10^5).

It is guaranteed that the sum of n over all test cases does not exceed 2⋅10^5.

Output

For each test case, print the largest number you can achieve, if you pause one panel optimally.

Example

Input


2
1
2


Output


9
98

Note

In the first test case, it is optimal to pause the first panel when the number 9 is displayed on it.

In the second test case, it is optimal to pause the second panel when the number 8 is displayed on it.

Solution (in CPP):

Solution:
// AUTHOR:-  Harsh Thete
//   IIIT-Allahabad
#include <bits/stdc++.h>
using namespace std;

#define ll long long

#define fl(i,a,b) for(ll i=a;i<b;i++)

#define fst ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
#define T 	int T;cin>>T;while(T--)

#define pb push_back
#define ub upper_bound
#define lb lower_bound
#define mp make_pair
#define sz size

bool prime[1000001];
void SieveOfEratosthenes() 
{ 
    memset(prime, true, sizeof(prime)); 
  
    for (int p=2; p*p<=1000000; p++) 
    { 
        if (prime[p] == true) 
        { 
            for (int i=p*p; i<=1000000; i += p) 
                prime[i] = false; 
        } 
    } 
  
} 

ll biexp(ll x, ll y) 
{ 
    ll res = 1;     
   
    while (y > 0) 
    { 
        if (y & 1) 
            res = res*x; 
   
        y = y>>1; 
        x = x*x;  
    }
    return res; 
}
ll bemo(ll x, ll y, ll m)  
{  
    ll res = 1;  
  
    x = x % m;  
   
    if (x == 0) return 0; 
  
    while (y > 0)  
    {   
        if (y & 1)  
            res = (res*x) % m;  
  
        y = y>>1; 
        x = (x*x) % m;  
    }  
    return res;  
}    
ll maxSubArraySum(ll a[], ll size) 
{ 
    ll max_so_far = INT_MIN, max_ending_here = 0; 
  
    for (ll i = 0; i < size; i++) 
    { 
        max_ending_here = max_ending_here + a[i]; 
        if (max_so_far < max_ending_here) 
            max_so_far = max_ending_here; 
  
        if (max_ending_here < 0) 
            max_ending_here = 0; 
    } 
    return max_so_far; 
}
/*to find sorted array(ascending) in abs number order

                                 also in your code use sort(a,a+n,fun) to get this type of sorted arr*/
bool fun(ll i,ll j)
{
return abs(i)<abs(j);
}

ll ceil_fun(ll x,ll y)
{
return ((x+y-1)/y);                       // returns ceil value 
}
void my_ans_is()
{
	ll n,k;cin>>n;
	char s[n+2];ll ct=0;
	if(n==1) cout<<"9";
	else if(n==2) cout<<"98";
	else if(n==3) cout<<"989";
	else
	{
		s[0]=9,s[1]=8,s[2]=9;
		fl(i,3,n) 
	{
      s[i]=ct++;
      if(s[i]==9) ct=0;
	}
	fl(i,0,n) 
	cout<<(ll)s[i];
}
	cout<<"\n";
}
//cin.getline(s,1000) to get string cointaining spaces where s->char s[1000] to find exact len n=strlen(s);
int main() 
{         // Euoiler tot phi(n)=cnt of numbers less than n (from 1to n) whose gcd with n is 1
	     //  for tot cnt of gcd=1 from x to n-> cnt= phi(n/gcd(x,n))
	fst;                                //////////////__gcd(x,y)=__gcd(x-y,y)
	T
	{      
         my_ans_is();
// Note:-Check bounds in arrays, check limit of int (signed integer overflow)
        }
   return 0;
}