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Submission #714009

# Submission time Handle Problem Language Result Execution time Memory
714009 2023-03-23T13:59:01 Z Alex_tz307 Bootfall (IZhO17_bootfall) C++17
65 / 100
 1000 ms 23444 KB 
#include <bits/stdc++.h>

using namespace std;

const int mod[] = {(int)1e9 + 7, (int)1e9 + 9};

void addSelf(int &x, int y, int mod) {
  x += y;
  if (x >= mod) {
    x -= mod;
  }
}

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);

  int n;
  cin >> n;

  vector<int> a(n);

  for (int &x : a) {
    cin >> x;
  }

  int sum = accumulate(a.begin(), a.end(), 0);

  vector<vector<int>> dp(sum + 1, vector<int>(2));

  dp[0][0] = dp[0][1] = 1;

  for (const int &x : a) {
    for (int i = sum; i >= x; --i) {
      for (int j = 0; j < 2; ++j) {
        addSelf(dp[i][j], dp[i - x][j], mod[j]);
      }
    }
  }

  if (sum % 2 == 1 || dp[sum / 2] == vector<int>(2)) {
    cout << "0\n";
    return 0;
  }

  vector<bool> wt(sum + 1, true);

  vector<vector<int>> newDp(sum + 1, vector<int>(2));

  for (const int &x : a) {
    newDp = dp;

    for (int i = x; i <= sum; ++i) {
      for (int j = 0; j < 2; ++j) {
        addSelf(newDp[i][j], mod[j] - newDp[i - x][j], mod[j]);
      }
    }

    for (int i = 1; i <= sum; ++i) {
      int newSum = sum - x + i;

      if (newSum % 2 == 1 || newDp[newSum / 2] == vector<int>(2)) {
        wt[i] = false;
      }
    }
  }

  cout << count(wt.begin() + 1, wt.end(), true) << '\n';

  for (int i = 1; i <= sum; ++i) {
    if (wt[i]) {
      cout << i << ' ';
    }
  }

  cout << '\n';

  return 0;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 316 KB Output is correct
4 Correct 1 ms 316 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 452 KB Output is correct
9 Correct 1 ms 340 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 316 KB Output is correct
4 Correct 1 ms 316 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 452 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 320 KB Output is correct
20 Correct 1 ms 340 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 316 KB Output is correct
4 Correct 1 ms 316 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 452 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 320 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 5 ms 596 KB Output is correct
22 Correct 7 ms 596 KB Output is correct
23 Correct 3 ms 572 KB Output is correct
24 Correct 11 ms 724 KB Output is correct
25 Correct 22 ms 1212 KB Output is correct
26 Correct 22 ms 1364 KB Output is correct
27 Correct 20 ms 1300 KB Output is correct
28 Correct 22 ms 1364 KB Output is correct
29 Correct 23 ms 1364 KB Output is correct
30 Correct 13 ms 852 KB Output is correct
31 Correct 17 ms 1108 KB Output is correct
32 Correct 11 ms 844 KB Output is correct
33 Correct 25 ms 1364 KB Output is correct
34 Correct 22 ms 1396 KB Output is correct
35 Correct 22 ms 1400 KB Output is correct
36 Correct 11 ms 724 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 316 KB Output is correct
4 Correct 1 ms 316 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 452 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 320 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 5 ms 596 KB Output is correct
22 Correct 7 ms 596 KB Output is correct
23 Correct 3 ms 572 KB Output is correct
24 Correct 11 ms 724 KB Output is correct
25 Correct 22 ms 1212 KB Output is correct
26 Correct 22 ms 1364 KB Output is correct
27 Correct 20 ms 1300 KB Output is correct
28 Correct 22 ms 1364 KB Output is correct
29 Correct 23 ms 1364 KB Output is correct
30 Correct 13 ms 852 KB Output is correct
31 Correct 17 ms 1108 KB Output is correct
32 Correct 11 ms 844 KB Output is correct
33 Correct 25 ms 1364 KB Output is correct
34 Correct 22 ms 1396 KB Output is correct
35 Correct 22 ms 1400 KB Output is correct
36 Correct 11 ms 724 KB Output is correct
37 Correct 85 ms 2388 KB Output is correct
38 Correct 93 ms 2496 KB Output is correct
39 Correct 361 ms 7156 KB Output is correct
40 Correct 214 ms 3868 KB Output is correct
41 Correct 443 ms 8404 KB Output is correct
42 Correct 165 ms 3620 KB Output is correct
43 Correct 300 ms 6604 KB Output is correct
44 Correct 310 ms 6600 KB Output is correct
45 Correct 309 ms 6620 KB Output is correct
46 Correct 187 ms 3772 KB Output is correct
47 Correct 181 ms 3916 KB Output is correct
48 Correct 333 ms 7144 KB Output is correct
49 Correct 341 ms 7100 KB Output is correct
50 Correct 186 ms 3908 KB Output is correct
51 Correct 32 ms 2004 KB Output is correct
52 Correct 417 ms 8132 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 316 KB Output is correct
4 Correct 1 ms 316 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 452 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 320 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 5 ms 596 KB Output is correct
22 Correct 7 ms 596 KB Output is correct
23 Correct 3 ms 572 KB Output is correct
24 Correct 11 ms 724 KB Output is correct
25 Correct 22 ms 1212 KB Output is correct
26 Correct 22 ms 1364 KB Output is correct
27 Correct 20 ms 1300 KB Output is correct
28 Correct 22 ms 1364 KB Output is correct
29 Correct 23 ms 1364 KB Output is correct
30 Correct 13 ms 852 KB Output is correct
31 Correct 17 ms 1108 KB Output is correct
32 Correct 11 ms 844 KB Output is correct
33 Correct 25 ms 1364 KB Output is correct
34 Correct 22 ms 1396 KB Output is correct
35 Correct 22 ms 1400 KB Output is correct
36 Correct 11 ms 724 KB Output is correct
37 Correct 85 ms 2388 KB Output is correct
38 Correct 93 ms 2496 KB Output is correct
39 Correct 361 ms 7156 KB Output is correct
40 Correct 214 ms 3868 KB Output is correct
41 Correct 443 ms 8404 KB Output is correct
42 Correct 165 ms 3620 KB Output is correct
43 Correct 300 ms 6604 KB Output is correct
44 Correct 310 ms 6600 KB Output is correct
45 Correct 309 ms 6620 KB Output is correct
46 Correct 187 ms 3772 KB Output is correct
47 Correct 181 ms 3916 KB Output is correct
48 Correct 333 ms 7144 KB Output is correct
49 Correct 341 ms 7100 KB Output is correct
50 Correct 186 ms 3908 KB Output is correct
51 Correct 32 ms 2004 KB Output is correct
52 Correct 417 ms 8132 KB Output is correct
53 Correct 298 ms 5436 KB Output is correct
54 Correct 484 ms 6536 KB Output is correct
55 Correct 964 ms 12796 KB Output is correct
56 Correct 368 ms 6568 KB Output is correct
57 Correct 961 ms 13436 KB Output is correct
58 Correct 476 ms 7148 KB Output is correct
59 Correct 573 ms 8908 KB Output is correct
60 Correct 80 ms 3652 KB Output is correct
61 Correct 708 ms 9848 KB Output is correct
62 Correct 831 ms 11064 KB Output is correct
63 Correct 945 ms 12016 KB Output is correct
64 Correct 737 ms 11812 KB Output is correct
65 Correct 341 ms 5520 KB Output is correct
66 Correct 410 ms 6172 KB Output is correct

Subtask #6
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 316 KB Output is correct
4 Correct 1 ms 316 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 452 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 320 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 5 ms 596 KB Output is correct
22 Correct 7 ms 596 KB Output is correct
23 Correct 3 ms 572 KB Output is correct
24 Correct 11 ms 724 KB Output is correct
25 Correct 22 ms 1212 KB Output is correct
26 Correct 22 ms 1364 KB Output is correct
27 Correct 20 ms 1300 KB Output is correct
28 Correct 22 ms 1364 KB Output is correct
29 Correct 23 ms 1364 KB Output is correct
30 Correct 13 ms 852 KB Output is correct
31 Correct 17 ms 1108 KB Output is correct
32 Correct 11 ms 844 KB Output is correct
33 Correct 25 ms 1364 KB Output is correct
34 Correct 22 ms 1396 KB Output is correct
35 Correct 22 ms 1400 KB Output is correct
36 Correct 11 ms 724 KB Output is correct
37 Correct 85 ms 2388 KB Output is correct
38 Correct 93 ms 2496 KB Output is correct
39 Correct 361 ms 7156 KB Output is correct
40 Correct 214 ms 3868 KB Output is correct
41 Correct 443 ms 8404 KB Output is correct
42 Correct 165 ms 3620 KB Output is correct
43 Correct 300 ms 6604 KB Output is correct
44 Correct 310 ms 6600 KB Output is correct
45 Correct 309 ms 6620 KB Output is correct
46 Correct 187 ms 3772 KB Output is correct
47 Correct 181 ms 3916 KB Output is correct
48 Correct 333 ms 7144 KB Output is correct
49 Correct 341 ms 7100 KB Output is correct
50 Correct 186 ms 3908 KB Output is correct
51 Correct 32 ms 2004 KB Output is correct
52 Correct 417 ms 8132 KB Output is correct
53 Correct 298 ms 5436 KB Output is correct
54 Correct 484 ms 6536 KB Output is correct
55 Correct 964 ms 12796 KB Output is correct
56 Correct 368 ms 6568 KB Output is correct
57 Correct 961 ms 13436 KB Output is correct
58 Correct 476 ms 7148 KB Output is correct
59 Correct 573 ms 8908 KB Output is correct
60 Correct 80 ms 3652 KB Output is correct
61 Correct 708 ms 9848 KB Output is correct
62 Correct 831 ms 11064 KB Output is correct
63 Correct 945 ms 12016 KB Output is correct
64 Correct 737 ms 11812 KB Output is correct
65 Correct 341 ms 5520 KB Output is correct
66 Correct 410 ms 6172 KB Output is correct
67 Correct 697 ms 9220 KB Output is correct
68 Correct 244 ms 6996 KB Output is correct
69 Execution timed out 1092 ms 23444 KB Time limit exceeded
70 Halted 0 ms 0 KB -