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#Java, 93 bytes

Java, 93 bytes

String k(int n,int[]a){String s="";for(int i=0;i<n;)s+=(a[i]+s).charAt(i++)<57?9:1;return s;}

Ungolfed

String k(int n, int[] a) {
 String s = "";
 for (int i = 0; i < n; ) 
 s += (a[i] + s).charAt(i++) < 57 ? 9 : 1;
 return s;
}

Output

Input:
12345678
23456789
34567890
45678901
56789012
67890123
78901234
89012345
Output:
99991999
Input:
1234
4815
1623
4211
Output:
9999

#Java, 93 bytes

String k(int n,int[]a){String s="";for(int i=0;i<n;)s+=(a[i]+s).charAt(i++)<57?9:1;return s;}

Ungolfed

String k(int n, int[] a) {
 String s = "";
 for (int i = 0; i < n; ) 
 s += (a[i] + s).charAt(i++) < 57 ? 9 : 1;
 return s;
}

Output

Input:
12345678
23456789
34567890
45678901
56789012
67890123
78901234
89012345
Output:
99991999
Input:
1234
4815
1623
4211
Output:
9999

Java, 93 bytes

String k(int n,int[]a){String s="";for(int i=0;i<n;)s+=(a[i]+s).charAt(i++)<57?9:1;return s;}

Ungolfed

String k(int n, int[] a) {
 String s = "";
 for (int i = 0; i < n; ) 
 s += (a[i] + s).charAt(i++) < 57 ? 9 : 1;
 return s;
}

Output

Input:
12345678
23456789
34567890
45678901
56789012
67890123
78901234
89012345
Output:
99991999
Input:
1234
4815
1623
4211
Output:
9999
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#Java, 93 bytes

String k(int n,int[]a){String s="";for(int i=0;i<n;)s+=(a[i]+s).charAt(i++)<57?9:1;return s;}

Ungolfed

String k(int n, int[] a) {
 String s = "";
 for (int i = 0; i < n; ) 
 s += (a[i] + s).charAt(i++) < 57 ? 9 : 1;
 return s;
}

Output

Input:
12345678
23456789
34567890
45678901
56789012
67890123
78901234
89012345
Output:
99991999
Input:
1234
4815
1623
4211
Output:
9999

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