#include <stdio.h>
#include <stdlib.h>
#include <string.h>
int main( )
{
int t , i; // t = number of test cases , i = a temporary variable for iteration purpose
char * input , * output ;
unsigned long long int l , x , y , mid ; // l = length of input string , x = to iterate from mid to start ,
// y = to iterate from mid to end
// mid = middle location of input string (even : l/2-1 , odd : l/2)
while ( t-- )
{
input
= ( char * ) malloc ( 1000000 ) ;
//check if input is single digit
if ( l== 1 )
{
break ;
}
//check if input is already a palindrome of kind '99','99','9999',etc. so that output becomes : '101' , '10001'
i = 0 ;
for ( i = 0 ; i< l ; i++ )
{
if ( input[ i] != '9' )
break ;
}
if ( i== l)
{
output[ 0 ] = '1' ;
output[ l] = '1' ;
for ( i= 1 ; i< l; i++ )
output[ i] = '0' ;
output[ l+ 1 ] = '\0 ' ;
break ;
}
//make a string containig all digits of input
//find the mid number
output[ l- 1 ] = output[ l- 1 ] + 1 ;
if ( l% 2 == 0 )
{
//even
mid = l/ 2 ;
x = mid - 1 ;
y = mid ;
//scan until the last the element , and if break appears then start copying the remaining elements
// as shown in [1]
while ( y!= l)
{
//check if first half element is less than second half element ,
// if yes , it means the first half element needs to be increased by 1 and second half //element is made equal to first half element, Ex : 2473 : 2553
//condition(1)
if ( output[ x] < output[ y] )
{
output[ x] = output[ x] + 1 ;
output[ y] = output[ x] ;
break ;
}
//if the two elements are already equal as in '236679' , '6' == '6' , then we check for
// '3' and '7'
//condition(2)
else if ( output[ x] == output[ y] && output[ x] != '\0 ' )
{
x--;
y++;
if ( output[ x] < output[ y] ) //if less , then we do the same as condition(1)
{
output[ x+ 1 ] = output[ x+ 1 ] + 1 ;
output[ y- 1 ] = output[ y- 1 ] + 1 ;
}
//no break , so that we can check for next elements
}
//special case for handling 9s
else if ( output[ x] == '9' && output[ y] == '9' )
{
while ( output[ x] == output[ y] ) //case like '199999'
{
x--;
y++;
}
if ( output[ x] < output[ y] ) //same as condition(1)
{
output[ x] = output[ x] + 1 ;
output[ y] = output[ x] ;
for ( i= x+ 1 ; i<= y- 1 ; i++ ) // but also replace the 9s with 0
output[ i] = '0' ;
}
break ;
}
//condition(4)
else if ( output[ x] > output[ y] ) //if first half element is greater than //second half element , then simply replace the second half element with first half element
{
output[ y] = output[ x] ;
break ;
}
x--;
y++;
}
//start copying unscanned elements of first half elements to second half elements
while ( y <= l- 1 )
{
output[ y] = output[ x] ;
x--;
y++;
}
}
else
{
//odd
mid = l/ 2 ;
x = mid - 1 ;
y = mid + 1 ;
while ( y!= l)
{
if ( output[ x] <= output[ y] && output[ mid] != '9' )
{
output[ mid] = output[ mid] + 1 ;
break ;
}
else if ( output[ x] <= output[ y] && output[ mid] == '9' )
{
while ( output[ x] == output[ y] )
{
x--;
y++;
}
if ( output[ x] < output[ y] ) // 14897 case
{
output[ x] = output[ x] + 1 ;
output[ y] = output[ x] ;
for ( i= x+ 1 ; i<= y- 1 ; i++ )
output[ i] = '0' ;
}
break ;
}
else if ( output[ x] > output[ y] )
{
output[ y] = output[ x] ;
break ;
}
x--;
y++;
}
while ( y <= l- 1 )
{
output[ y] = output[ x] ;
x--;
y++;
}
}
//check
x = 0 ;
y = l - 1 ;
while ( output[ x] == output[ y] && output[ x] != '\0 ' )
{
x++;
y--;
}
if ( x- 1 == l- 1 )
{
}
}
return 0 ;
}


#include <stdio.h>
#include <stdlib.h>
#include <string.h>

int main()
{
    int  t , i;    // t = number of test cases , i = a temporary variable for iteration purpose
    char *input , *output ; 
    unsigned long long int l , x , y , mid  ;  // l = length of input string , x = to iterate from mid to start , 
					       // y = to iterate from mid to end
					       // mid = middle location of input string (even : l/2-1 , odd : l/2)
    scanf("%d",&t);

    while (t--)
    {
        input = (char *)malloc(1000000);
        scanf("%s",input);
        l = strlen(input);

	//check if input is single digit
	if(l==1)
	{
		printf("11\n");
		break;
	}
	//check if input is already a palindrome of kind '99','99','9999',etc. so that output becomes : '101' , '10001'
        i = 0 ;
        for(i = 0 ; i< l ; i++)
        {
                    if(input[i]!='9')
                        break;
        }

        if(i==l)
        {
            output = malloc(l+2);
            output[0]='1';
            output[l]='1';
            for(i=1;i<l;i++)
                output[i]='0';
            output[l+1]='\0';
            printf("%s\n",output);
            break;
        }


        //make a string containig all digits of input
        output = malloc(l);
        strcpy(output,input);

           //find the mid number
            l = strlen(output);
            output[l-1]=output[l-1]+1;
            if (l%2==0)
            {
                //even
                mid = l/2 ;
                x = mid - 1 ;
                y = mid ;

		//scan until the last the element , and if break appears then start copying the remaining elements
		// as shown in [1]
            while (y!=l)
                {
                        //check if first half element is less than second half element , 
			// if yes , it means the first half element needs to be increased by 1 and second half      //element is made equal to first half element, Ex : 2473 : 2553
//condition(1)	
		if (output[x] < output[y])
                       {
                        output[x]=output[x]+1 ;
                        output[y]=output[x];
                        break ;

                    }
			//if the two elements are already  equal as in '236679' , '6' == '6' , then we check for
			// '3' and '7' 
//condition(2)          
		 else if (output[x] == output[y] && output[x] != '\0')
                    {
                        x--;
                        y++;
                        if(output[x] < output[y])   //if less , then we do the same as condition(1)
                        {
                                output[x+1] = output[x+1]+1;
                                output[y-1] = output[y-1]+1;
                        }
				//no break , so that we can check for next elements
                    }
//special case for handling 9s 
		 else if (output[x] == '9' && output[y]== '9')
                    {
                        while (output[x]== output[y])           //case like '199999'
                        {
                            x--;
                            y++;

                        }

                        if (output[x] < output[y])                         //same as condition(1) 
                        {
                                output[x]=output[x]+1;
                                output[y]=output[x];
                                for (i=x+1; i<=y-1; i++)                  // but also replace the 9s with 0
                                    output[i]='0';
                        }
                        break;
                     }
//condition(4)
                    else if (output[x] > output[y])                       //if first half element is greater than //second half element , then simply replace the second half element with first half element                   
                    {
                        output[y]=output[x];
                        break ;
                    }

                    x--;
                    y++;
                 }
//start copying unscanned elements of first half elements to second half elements
                while (y <= l-1 )
                {
                    output[y]=output[x];
                    x--;
                    y++;
                }

            }
            else
            {
                //odd
                mid = l/2 ;
                x = mid - 1 ;
                y = mid + 1;

                while (y!=l)
                {
                    if (output[x] <= output[y] && output[mid] != '9')
                    {
                        output[mid]=output[mid]+1;
                        break ;
                    }
                    else if (output[x] <= output[y] && output[mid] == '9')
                    {
                        while (output[x] == output[y])
                        {
                            x--;
                            y++;

                        }

                        if (output[x] < output[y])                         // 14897 case
                        {
                            output[x]=output[x]+1;
                            output[y]=output[x];
                            for (i=x+1; i<=y-1; i++)
                                output[i]='0';
                        }
                        break;
                    }
                    else if (output[x] > output[y])
                    {
                        output[y]=output[x];
                        break ;
                    }

                    x--;
                    y++;
                }

                 while (y <= l-1 )
                {
                    output[y]=output[x];
                    x--;
                    y++;
                }



            }



            //check
            x = 0 ;
            y = l -1 ;
            while(output[x]==output[y] && output[x] != '\0')
            {
                x++;
                y--;
            }
            if(x-1 == l-1)
            {
                printf("%s\n",output);
            }




        }

    free(input);
    free(output);

    return 0 ;
}
