#include <bits/stdc++.h>
using namespace std;
#define fast_io ios::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define int long long
#define pb push_back
#define endl '\n'
const int INF = 1e18;
void solve() {
int a, n;
cin >> a >> n;
vector<int> b(n);
for (int i = 0; i < n; i++)
cin >> b[i];
sort(b.begin(), b.end());
string s = to_string(a);
int len = s.size();
int ans = INF;
auto check = [&](string t) {
if (t.size() > 1 && t[0] == '0')
return;
int num = stoll(t);
ans = min(ans, abs(a - num));
};
string mxsmaller = "";
bool smaller = false;
for (int i = 0; i < len; i++) {
int cur = s[i] - '0';
int best = -1;
for (int d : b) {
if (d < cur)
best = d;
}
if (smaller) {
mxsmaller += char(b.back() + '0');
}
else if (best != -1) {
mxsmaller += char(best + '0');
for (int j = i + 1; j < len; j++)
mxsmaller += char(b.back() + '0');
smaller = true;
break;
}
else {
bool equal = false;
for (int d : b) {
if (d == cur)
equal = true;
}
if (equal)
mxsmaller += s[i];
else {
mxsmaller = "";
break;
}
}
}
if (!mxsmaller.empty())
check(mxsmaller);
string mingreater = "";
bool greater = false;
for (int i = 0; i < len; i++) {
int cur = s[i] - '0';
int best = 10;
for (int d : b) {
if (d > cur) {
best = d;
break;
}
}
if (greater) {
mingreater += char(b[0] + '0');
}
else if (best != 10) {
mingreater += char(best + '0');
for (int j = i + 1; j < len; j++)
mingreater += char(b[0] + '0');
greater = true;
break;
}
else {
bool equal = false;
for (int d : b) {
if (d == cur)
equal = true;
}
if (equal)
mingreater += s[i];
else {
mingreater = "";
break;
}
}
}
if (!mingreater.empty())
check(mingreater);
string smalllen = "";
if (len > 1) {
int d = -1;
for (int x : b) {
if (x != 0) {
d = x;
break;
}
}
if (d != -1) {
smalllen += char(d + '0');
for (int i = 1; i < len - 1; i++)
smalllen += char(b.back() + '0');
check(smalllen);
}
}
string biglen = "";
int d = -1;
for (int x : b) {
if (x != 0) {
d = x;
break;
}
}
if (d != -1) {
biglen += char(d + '0');
for (int i = 1; i <= len; i++)
biglen += char(b[0] + '0');
check(biglen);
}
cout << ans << endl;
}
int32_t main() {
fast_io;
int t;
cin >> t;
while (t--) {
solve();
}
return 0;
}