This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
using lint = long long;
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
int N;
cin >> N;
vector<int> S(N);
for (int i = 0; i < N; i++) {
int x;
cin >> x;
S[i] = 1 << x;
}
const auto Solve = [&](const auto &self, vector<int> S, int haveNonZero, int depth) -> lint {
if (depth >= 17) return 1e17;
if (S.empty()) return haveNonZero ? 0 : 1;
if (S.size() == 1) {
if (S[0] == 0) {
return haveNonZero ? 0 : 1;
}
int b = 0;
lint res = 0;
if (S[0] & 1) { // must have 0
lint opt = 1;
for (b = 1; b <= 9; b++) {
if ((S[0] >> b) & 1) {
opt = b;
break;
}
}
res = opt * 10;
}
for (b++; b <= 9; b++) {
if ((S[0] >> b) & 1) {
res = res * 10 + b;
}
}
return res;
}
lint res = 1e17;
for (int st = 0; st <= 9; st++) {
int dig = st;
vector<int> newS;
int last = 0;
for (auto add : S) {
if ((add >> dig) & 1) add ^= 1 << dig;
last |= add;
if (dig == 9) {
newS.emplace_back(last);
last = 0;
}
dig = (dig + 1) % 10;
}
if (last != 0) {
newS.emplace_back(last);
}
res = min(res, self(self, newS, haveNonZero || st != 0, depth + 1) * 10 + st);
}
return res;
};
lint ans = Solve(Solve, S, 0, 0);
assert(ans > 0);
cout << ans << '\n';
return 0;
}
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