Submission #714012

# Submission time Handle Problem Language Result Execution time Memory
714012 2023-03-23T14:03:11 Z Alex_tz307 Bootfall (IZhO17_bootfall) C++17
100 / 100
577 ms 2904 KB
#include <bits/stdc++.h>

using namespace std;

const int mod = 1e9 + 7;

void addSelf(int &x, int y) {
  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<int> dp(sum + 1);

  dp[0] = 1;

  for (const int &x : a) {
    for (int i = sum; i >= x; --i) {
      addSelf(dp[i], dp[i - x]);
    }
  }

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

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

  vector<int> newDp(sum + 1);

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

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

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

      if (newSum % 2 == 1 || newDp[newSum / 2] == 0) {
        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;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 2 ms 340 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 3 ms 340 KB Output is correct
25 Correct 5 ms 384 KB Output is correct
26 Correct 5 ms 340 KB Output is correct
27 Correct 5 ms 340 KB Output is correct
28 Correct 5 ms 392 KB Output is correct
29 Correct 5 ms 340 KB Output is correct
30 Correct 4 ms 280 KB Output is correct
31 Correct 4 ms 340 KB Output is correct
32 Correct 3 ms 356 KB Output is correct
33 Correct 6 ms 340 KB Output is correct
34 Correct 7 ms 392 KB Output is correct
35 Correct 5 ms 340 KB Output is correct
36 Correct 3 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 2 ms 340 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 3 ms 340 KB Output is correct
25 Correct 5 ms 384 KB Output is correct
26 Correct 5 ms 340 KB Output is correct
27 Correct 5 ms 340 KB Output is correct
28 Correct 5 ms 392 KB Output is correct
29 Correct 5 ms 340 KB Output is correct
30 Correct 4 ms 280 KB Output is correct
31 Correct 4 ms 340 KB Output is correct
32 Correct 3 ms 356 KB Output is correct
33 Correct 6 ms 340 KB Output is correct
34 Correct 7 ms 392 KB Output is correct
35 Correct 5 ms 340 KB Output is correct
36 Correct 3 ms 340 KB Output is correct
37 Correct 18 ms 468 KB Output is correct
38 Correct 19 ms 468 KB Output is correct
39 Correct 88 ms 804 KB Output is correct
40 Correct 41 ms 568 KB Output is correct
41 Correct 113 ms 900 KB Output is correct
42 Correct 36 ms 588 KB Output is correct
43 Correct 64 ms 884 KB Output is correct
44 Correct 66 ms 792 KB Output is correct
45 Correct 68 ms 888 KB Output is correct
46 Correct 42 ms 440 KB Output is correct
47 Correct 39 ms 568 KB Output is correct
48 Correct 76 ms 800 KB Output is correct
49 Correct 78 ms 804 KB Output is correct
50 Correct 40 ms 572 KB Output is correct
51 Correct 11 ms 440 KB Output is correct
52 Correct 89 ms 980 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 2 ms 340 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 3 ms 340 KB Output is correct
25 Correct 5 ms 384 KB Output is correct
26 Correct 5 ms 340 KB Output is correct
27 Correct 5 ms 340 KB Output is correct
28 Correct 5 ms 392 KB Output is correct
29 Correct 5 ms 340 KB Output is correct
30 Correct 4 ms 280 KB Output is correct
31 Correct 4 ms 340 KB Output is correct
32 Correct 3 ms 356 KB Output is correct
33 Correct 6 ms 340 KB Output is correct
34 Correct 7 ms 392 KB Output is correct
35 Correct 5 ms 340 KB Output is correct
36 Correct 3 ms 340 KB Output is correct
37 Correct 18 ms 468 KB Output is correct
38 Correct 19 ms 468 KB Output is correct
39 Correct 88 ms 804 KB Output is correct
40 Correct 41 ms 568 KB Output is correct
41 Correct 113 ms 900 KB Output is correct
42 Correct 36 ms 588 KB Output is correct
43 Correct 64 ms 884 KB Output is correct
44 Correct 66 ms 792 KB Output is correct
45 Correct 68 ms 888 KB Output is correct
46 Correct 42 ms 440 KB Output is correct
47 Correct 39 ms 568 KB Output is correct
48 Correct 76 ms 800 KB Output is correct
49 Correct 78 ms 804 KB Output is correct
50 Correct 40 ms 572 KB Output is correct
51 Correct 11 ms 440 KB Output is correct
52 Correct 89 ms 980 KB Output is correct
53 Correct 64 ms 808 KB Output is correct
54 Correct 94 ms 800 KB Output is correct
55 Correct 182 ms 1452 KB Output is correct
56 Correct 82 ms 800 KB Output is correct
57 Correct 191 ms 1500 KB Output is correct
58 Correct 106 ms 924 KB Output is correct
59 Correct 123 ms 1132 KB Output is correct
60 Correct 32 ms 468 KB Output is correct
61 Correct 134 ms 1160 KB Output is correct
62 Correct 145 ms 1328 KB Output is correct
63 Correct 183 ms 1392 KB Output is correct
64 Correct 156 ms 1348 KB Output is correct
65 Correct 94 ms 692 KB Output is correct
66 Correct 87 ms 732 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 2 ms 340 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 3 ms 340 KB Output is correct
25 Correct 5 ms 384 KB Output is correct
26 Correct 5 ms 340 KB Output is correct
27 Correct 5 ms 340 KB Output is correct
28 Correct 5 ms 392 KB Output is correct
29 Correct 5 ms 340 KB Output is correct
30 Correct 4 ms 280 KB Output is correct
31 Correct 4 ms 340 KB Output is correct
32 Correct 3 ms 356 KB Output is correct
33 Correct 6 ms 340 KB Output is correct
34 Correct 7 ms 392 KB Output is correct
35 Correct 5 ms 340 KB Output is correct
36 Correct 3 ms 340 KB Output is correct
37 Correct 18 ms 468 KB Output is correct
38 Correct 19 ms 468 KB Output is correct
39 Correct 88 ms 804 KB Output is correct
40 Correct 41 ms 568 KB Output is correct
41 Correct 113 ms 900 KB Output is correct
42 Correct 36 ms 588 KB Output is correct
43 Correct 64 ms 884 KB Output is correct
44 Correct 66 ms 792 KB Output is correct
45 Correct 68 ms 888 KB Output is correct
46 Correct 42 ms 440 KB Output is correct
47 Correct 39 ms 568 KB Output is correct
48 Correct 76 ms 800 KB Output is correct
49 Correct 78 ms 804 KB Output is correct
50 Correct 40 ms 572 KB Output is correct
51 Correct 11 ms 440 KB Output is correct
52 Correct 89 ms 980 KB Output is correct
53 Correct 64 ms 808 KB Output is correct
54 Correct 94 ms 800 KB Output is correct
55 Correct 182 ms 1452 KB Output is correct
56 Correct 82 ms 800 KB Output is correct
57 Correct 191 ms 1500 KB Output is correct
58 Correct 106 ms 924 KB Output is correct
59 Correct 123 ms 1132 KB Output is correct
60 Correct 32 ms 468 KB Output is correct
61 Correct 134 ms 1160 KB Output is correct
62 Correct 145 ms 1328 KB Output is correct
63 Correct 183 ms 1392 KB Output is correct
64 Correct 156 ms 1348 KB Output is correct
65 Correct 94 ms 692 KB Output is correct
66 Correct 87 ms 732 KB Output is correct
67 Correct 154 ms 1144 KB Output is correct
68 Correct 84 ms 736 KB Output is correct
69 Correct 475 ms 2556 KB Output is correct
70 Correct 287 ms 1608 KB Output is correct
71 Correct 273 ms 1692 KB Output is correct
72 Correct 283 ms 1352 KB Output is correct
73 Correct 277 ms 1312 KB Output is correct
74 Correct 508 ms 2764 KB Output is correct
75 Correct 393 ms 2160 KB Output is correct
76 Correct 577 ms 2904 KB Output is correct
77 Correct 576 ms 2840 KB Output is correct