oj.uz

Submission #954345

# Submission time Handle Problem Language Result Execution time Memory
954345 2024-03-27T16:14:46 Z nguyennh Bootfall (IZhO17_bootfall) C++14
65 / 100
 423 ms 4916 KB 
#include<bits/stdc++.h>
#define el '\n'
using namespace std ;

const int MN = 2e5 + 50;

int n;

namespace sub_trau{
  int64_t dp[MN];
  
  // check whether existing a way to divide array into 2 parts with sum = x;
  void solve(){
    vector<int> a(n + 5);
    for ( int i = 1 ; i <= n ; i++ ) cin >> a[i];
    if (n & 1){
      cout << 0;
      return;
    }
    bool odd = false , even = false;
    for ( int i = 1 ; i <= n ; i++ ){
      odd |= (a[i] & 1);
      even |= (a[i] % 2 == 0);
    }
    if (odd && even){
      cout << 0;
      return;
    }
    int sum = accumulate(a.begin() + 1 , a.begin() + n + 1 , 0);
    int mn = *min_element(a.begin() + 1 , a.begin() + n + 1); 
    dp[0] = 1;
    for ( int i = 1 ; i <= n ; i++ ){
      for ( int j = sum ; j >= a[i] ; j-- ) dp[j] += dp[j - a[i]];
    }
    if (!dp[sum / 2] || (sum & 1)){
      cout << 0;
      return;
    }
    vector<int> ans , candidates;
    for ( int i = 1 ; i <= n ; i++ ) candidates.push_back(a[i]);
    for ( int val = odd ? 1 : 2 ; val <= sum - mn ; val += 2 ){
      int all = sum + val;
      candidates.push_back(val);
      for ( int j = all ; j >= val ; j-- ) dp[j] += dp[j - val];
      bool check = true;
      for ( int turn = 0 ; turn < n ; turn++ ){
        if (!check) break;
        int need = all - candidates[turn];
        if (need & 1){
          check = false;
          break;  
        }
        for ( int j = candidates[turn] ; j <= need / 2 ; j++ ){
          dp[j] -= dp[j - candidates[turn]];
        }
        if (!dp[need / 2]){
          check = false;
        }
        for ( int j = need / 2 ; j >= candidates[turn] ; j-- ) dp[j] += dp[j - candidates[turn]];
      }
      if (check) ans.push_back(val);
      candidates.pop_back();
      for ( int j = val ; j <= all ; j++ ) dp[j] -= dp[j - val];
    }
    cout << ans.size() << el;
    for ( auto x : ans ) cout << x << " ";
  }
}

namespace sub_final{
  const int mod = 1e9 + 7;
  
  int64_t dp[MN];
  bool choose[MN];
  
  void solve(){
    vector<int> a(n + 5);
    for ( int i = 1 ; i <= n ; i++ ) cin >> a[i];
    bool odd = false , even = false;
    for ( int i = 1 ; i <= n ; i++ ){
      odd |= (a[i] & 1);
      even |= (a[i] % 2 == 0);
    }
    if (odd && even){
      cout << 0;
      return;
    }
    int sum = accumulate(a.begin() + 1 , a.begin() + n + 1 , 0);
    dp[0] = 1;
    for ( int i = 1 ; i <= n ; i++ ){
      for ( int j = sum ; j >= a[i] ; j-- ){
        dp[j] += dp[j - a[i]];
        dp[j] %= mod;
      }
    }
    if (!dp[sum / 2] || (sum & 1)){
      cout << 0;
      return;
    }
    memset(choose , true , sizeof(choose));
    for ( int i = 1 ; i <= n ; i++ ){
      vector<int64_t> ndp(sum + 5);
      for ( int j = 0 ; j <= sum ; j++ ) ndp[j] = dp[j];
      for ( int j = a[i] ; j <= sum ; j++ ) (ndp[j] += (mod - ndp[j - a[i]])) %= mod;
      for ( int val = 1 ; val <= sum ; val++ ){
        int new_sum = sum - a[i] + val;
        if ((new_sum & 1) || (new_sum / 2 < val) || !ndp[new_sum / 2 - val]) choose[val] = false; 
      }
    }
    vector<int> ans;
    for ( int i = 1 ; i <= sum ; i++ ){
      if (choose[i]) ans.push_back(i);
    }
    cout << ans.size() << el;
    for ( auto x : ans ) cout << x << " ";
  }
}

int32_t main (){
//  freopen("bootfall.inp" , "r" , stdin);
//  freopen("bootfall.out" , "w" , stdout);
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cin >> n;
  if (n <= 30) sub_trau::solve();
  else sub_final::solve();
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 2 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 6 ms 2396 KB Output is correct
9 Correct 0 ms 348 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 2 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 6 ms 2396 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 2 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 6 ms 2396 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 2 ms 2652 KB Output is correct
22 Correct 2 ms 2652 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 3 ms 2648 KB Output is correct
25 Correct 4 ms 2648 KB Output is correct
26 Correct 4 ms 2768 KB Output is correct
27 Correct 4 ms 2648 KB Output is correct
28 Correct 4 ms 2652 KB Output is correct
29 Correct 5 ms 2764 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 4 ms 2652 KB Output is correct
32 Correct 3 ms 2652 KB Output is correct
33 Correct 5 ms 2652 KB Output is correct
34 Correct 5 ms 2652 KB Output is correct
35 Correct 5 ms 2764 KB Output is correct
36 Correct 3 ms 2652 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 2 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 6 ms 2396 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 2 ms 2652 KB Output is correct
22 Correct 2 ms 2652 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 3 ms 2648 KB Output is correct
25 Correct 4 ms 2648 KB Output is correct
26 Correct 4 ms 2768 KB Output is correct
27 Correct 4 ms 2648 KB Output is correct
28 Correct 4 ms 2652 KB Output is correct
29 Correct 5 ms 2764 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 4 ms 2652 KB Output is correct
32 Correct 3 ms 2652 KB Output is correct
33 Correct 5 ms 2652 KB Output is correct
34 Correct 5 ms 2652 KB Output is correct
35 Correct 5 ms 2764 KB Output is correct
36 Correct 3 ms 2652 KB Output is correct
37 Correct 17 ms 2752 KB Output is correct
38 Correct 16 ms 2752 KB Output is correct
39 Correct 63 ms 3164 KB Output is correct
40 Correct 43 ms 2932 KB Output is correct
41 Correct 83 ms 3236 KB Output is correct
42 Correct 30 ms 2928 KB Output is correct
43 Correct 53 ms 3228 KB Output is correct
44 Correct 55 ms 3120 KB Output is correct
45 Correct 57 ms 3212 KB Output is correct
46 Correct 34 ms 2912 KB Output is correct
47 Correct 33 ms 2992 KB Output is correct
48 Correct 65 ms 3188 KB Output is correct
49 Correct 65 ms 3036 KB Output is correct
50 Correct 37 ms 3004 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 77 ms 3244 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 2 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 6 ms 2396 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 2 ms 2652 KB Output is correct
22 Correct 2 ms 2652 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 3 ms 2648 KB Output is correct
25 Correct 4 ms 2648 KB Output is correct
26 Correct 4 ms 2768 KB Output is correct
27 Correct 4 ms 2648 KB Output is correct
28 Correct 4 ms 2652 KB Output is correct
29 Correct 5 ms 2764 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 4 ms 2652 KB Output is correct
32 Correct 3 ms 2652 KB Output is correct
33 Correct 5 ms 2652 KB Output is correct
34 Correct 5 ms 2652 KB Output is correct
35 Correct 5 ms 2764 KB Output is correct
36 Correct 3 ms 2652 KB Output is correct
37 Correct 17 ms 2752 KB Output is correct
38 Correct 16 ms 2752 KB Output is correct
39 Correct 63 ms 3164 KB Output is correct
40 Correct 43 ms 2932 KB Output is correct
41 Correct 83 ms 3236 KB Output is correct
42 Correct 30 ms 2928 KB Output is correct
43 Correct 53 ms 3228 KB Output is correct
44 Correct 55 ms 3120 KB Output is correct
45 Correct 57 ms 3212 KB Output is correct
46 Correct 34 ms 2912 KB Output is correct
47 Correct 33 ms 2992 KB Output is correct
48 Correct 65 ms 3188 KB Output is correct
49 Correct 65 ms 3036 KB Output is correct
50 Correct 37 ms 3004 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 77 ms 3244 KB Output is correct
53 Correct 55 ms 3032 KB Output is correct
54 Correct 80 ms 3088 KB Output is correct
55 Correct 154 ms 3808 KB Output is correct
56 Correct 67 ms 3116 KB Output is correct
57 Correct 169 ms 3880 KB Output is correct
58 Correct 85 ms 3272 KB Output is correct
59 Correct 125 ms 3268 KB Output is correct
60 Correct 0 ms 344 KB Output is correct
61 Correct 121 ms 3496 KB Output is correct
62 Correct 123 ms 3680 KB Output is correct
63 Correct 132 ms 3732 KB Output is correct
64 Correct 128 ms 3980 KB Output is correct
65 Correct 65 ms 3044 KB Output is correct
66 Correct 68 ms 3104 KB Output is correct

Subtask #6
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 2 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 6 ms 2396 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 2 ms 2652 KB Output is correct
22 Correct 2 ms 2652 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 3 ms 2648 KB Output is correct
25 Correct 4 ms 2648 KB Output is correct
26 Correct 4 ms 2768 KB Output is correct
27 Correct 4 ms 2648 KB Output is correct
28 Correct 4 ms 2652 KB Output is correct
29 Correct 5 ms 2764 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 4 ms 2652 KB Output is correct
32 Correct 3 ms 2652 KB Output is correct
33 Correct 5 ms 2652 KB Output is correct
34 Correct 5 ms 2652 KB Output is correct
35 Correct 5 ms 2764 KB Output is correct
36 Correct 3 ms 2652 KB Output is correct
37 Correct 17 ms 2752 KB Output is correct
38 Correct 16 ms 2752 KB Output is correct
39 Correct 63 ms 3164 KB Output is correct
40 Correct 43 ms 2932 KB Output is correct
41 Correct 83 ms 3236 KB Output is correct
42 Correct 30 ms 2928 KB Output is correct
43 Correct 53 ms 3228 KB Output is correct
44 Correct 55 ms 3120 KB Output is correct
45 Correct 57 ms 3212 KB Output is correct
46 Correct 34 ms 2912 KB Output is correct
47 Correct 33 ms 2992 KB Output is correct
48 Correct 65 ms 3188 KB Output is correct
49 Correct 65 ms 3036 KB Output is correct
50 Correct 37 ms 3004 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 77 ms 3244 KB Output is correct
53 Correct 55 ms 3032 KB Output is correct
54 Correct 80 ms 3088 KB Output is correct
55 Correct 154 ms 3808 KB Output is correct
56 Correct 67 ms 3116 KB Output is correct
57 Correct 169 ms 3880 KB Output is correct
58 Correct 85 ms 3272 KB Output is correct
59 Correct 125 ms 3268 KB Output is correct
60 Correct 0 ms 344 KB Output is correct
61 Correct 121 ms 3496 KB Output is correct
62 Correct 123 ms 3680 KB Output is correct
63 Correct 132 ms 3732 KB Output is correct
64 Correct 128 ms 3980 KB Output is correct
65 Correct 65 ms 3044 KB Output is correct
66 Correct 68 ms 3104 KB Output is correct
67 Correct 132 ms 3396 KB Output is correct
68 Correct 94 ms 2396 KB Output is correct
69 Incorrect 423 ms 4916 KB Output isn't correct
70 Halted 0 ms 0 KB -