Submission #421828

# Submission time Handle Problem Language Result Execution time Memory
421828 2021-06-09T12:43:11 Z rama_pang Sequence (BOI14_sequence) C++17
67 / 100
1000 ms 1860 KB
#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> A(N);
  vector<int> S(N);
  for (int i = 0; i < N; i++) {
    cin >> A[i];
    S[i] = 1 << A[i];
  }

  const auto CheckAns = [&](lint K) {
    for (int i = 0; i < N; i++) {
      auto str = to_string(K);
      if (count(begin(str), end(str), '0' + A[i]) == 0) {
        return false;
      }
      K += 1;
    }
    return true;
  };

  const lint INF = 1e17;
  const auto Solve = [&](const auto &self, vector<int> S, int lastNonZero, int depth) -> lint {
    if (depth >= 17) return INF;
    if (S.size() == 1) {
      if (S[0] == 0) return lastNonZero ? 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 = INF;
    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 (dig != 0) {
        newS.emplace_back(last);
      }
      lint newRes = self(self, newS, st != 0, depth + 1);
      res = min(res, newRes * 10ll + st);
    }
    return res;
  };

  lint ans = Solve(Solve, S, 0, 0);
  assert(ans > 0 && CheckAns(ans));

  for (lint i = 1; i <= 1000; i++) {
    if (CheckAns(i)) {
      ans = min(ans, i);
    }
  }

  cout << ans << '\n';
  return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 7 ms 204 KB Output is correct
3 Correct 3 ms 204 KB Output is correct
4 Correct 2 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 2 ms 312 KB Output is correct
8 Correct 12 ms 312 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 10 ms 324 KB Output is correct
11 Correct 12 ms 308 KB Output is correct
12 Correct 2 ms 204 KB Output is correct
13 Correct 3 ms 312 KB Output is correct
14 Correct 13 ms 328 KB Output is correct
15 Correct 14 ms 204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 5 ms 204 KB Output is correct
3 Correct 2 ms 204 KB Output is correct
4 Correct 3 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 17 ms 332 KB Output is correct
8 Correct 2 ms 204 KB Output is correct
9 Correct 12 ms 324 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 16 ms 332 KB Output is correct
12 Correct 10 ms 328 KB Output is correct
13 Correct 13 ms 368 KB Output is correct
14 Correct 2 ms 204 KB Output is correct
15 Correct 4 ms 204 KB Output is correct
16 Correct 12 ms 328 KB Output is correct
17 Correct 21 ms 332 KB Output is correct
18 Correct 3 ms 204 KB Output is correct
19 Correct 4 ms 204 KB Output is correct
20 Correct 11 ms 204 KB Output is correct
21 Correct 4 ms 312 KB Output is correct
22 Correct 11 ms 204 KB Output is correct
23 Correct 13 ms 204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 136 ms 472 KB Output is correct
3 Correct 127 ms 464 KB Output is correct
4 Correct 110 ms 484 KB Output is correct
5 Correct 110 ms 484 KB Output is correct
6 Correct 120 ms 432 KB Output is correct
7 Correct 692 ms 1356 KB Output is correct
8 Correct 451 ms 1000 KB Output is correct
9 Correct 987 ms 1792 KB Output is correct
10 Correct 981 ms 1792 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 5 ms 204 KB Output is correct
3 Correct 2 ms 204 KB Output is correct
4 Correct 2 ms 204 KB Output is correct
5 Correct 428 ms 972 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 12 ms 440 KB Output is correct
9 Correct 3 ms 308 KB Output is correct
10 Correct 12 ms 316 KB Output is correct
11 Correct 991 ms 1800 KB Output is correct
12 Correct 963 ms 1860 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 12 ms 332 KB Output is correct
15 Correct 13 ms 320 KB Output is correct
16 Correct 12 ms 328 KB Output is correct
17 Correct 3 ms 332 KB Output is correct
18 Correct 2 ms 204 KB Output is correct
19 Correct 13 ms 276 KB Output is correct
20 Correct 13 ms 332 KB Output is correct
21 Correct 3 ms 204 KB Output is correct
22 Correct 4 ms 204 KB Output is correct
23 Correct 16 ms 320 KB Output is correct
24 Correct 4 ms 204 KB Output is correct
25 Correct 11 ms 204 KB Output is correct
26 Correct 11 ms 332 KB Output is correct
27 Correct 114 ms 460 KB Output is correct
28 Correct 187 ms 468 KB Output is correct
29 Correct 113 ms 444 KB Output is correct
30 Correct 146 ms 492 KB Output is correct
31 Correct 88 ms 432 KB Output is correct
32 Correct 786 ms 1368 KB Output is correct
33 Correct 453 ms 1004 KB Output is correct
34 Execution timed out 1004 ms 1796 KB Time limit exceeded
35 Halted 0 ms 0 KB -