oj.uz

Submission #954335

# Submission time Handle Problem Language Result Execution time Memory
954335 2024-03-27T16:05:14 Z nguyennh Bootfall (IZhO17_bootfall) C++14
65 / 100
 267 ms 6128 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{
  __int128 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]];
    }
    if (!dp[sum / 2] || (sum & 1)){
      cout << 0;
      return;
    }
    memset(choose , true , sizeof(choose));
    for ( int i = odd ? 2 : 1 ; i <= sum ; i += 2 ) choose[i] = false;
    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] -= ndp[j - a[i]];
      for ( int val = odd ? 1 : 2 ; val <= sum ; val += 2 ){
        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 2392 KB Output is correct
2 Correct 2 ms 2396 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 2392 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 2396 KB Output is correct
8 Correct 4 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 2392 KB Output is correct
2 Correct 2 ms 2396 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 2392 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 2396 KB Output is correct
8 Correct 4 ms 2396 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 2 ms 2396 KB Output is correct
12 Correct 2 ms 2396 KB Output is correct
13 Correct 0 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 2 ms 2396 KB Output is correct
17 Correct 2 ms 2392 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 2392 KB Output is correct
2 Correct 2 ms 2396 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 2392 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 2396 KB Output is correct
8 Correct 4 ms 2396 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 2 ms 2396 KB Output is correct
12 Correct 2 ms 2396 KB Output is correct
13 Correct 0 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 2 ms 2396 KB Output is correct
17 Correct 2 ms 2392 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 1 ms 2652 KB Output is correct
22 Correct 1 ms 2652 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 2 ms 2652 KB Output is correct
25 Correct 3 ms 2652 KB Output is correct
26 Correct 3 ms 2652 KB Output is correct
27 Correct 3 ms 2652 KB Output is correct
28 Correct 3 ms 2652 KB Output is correct
29 Correct 3 ms 2652 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 2 ms 2652 KB Output is correct
32 Correct 2 ms 2652 KB Output is correct
33 Correct 3 ms 2652 KB Output is correct
34 Correct 4 ms 2652 KB Output is correct
35 Correct 4 ms 2652 KB Output is correct
36 Correct 2 ms 2652 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 2 ms 2396 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 2392 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 2396 KB Output is correct
8 Correct 4 ms 2396 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 2 ms 2396 KB Output is correct
12 Correct 2 ms 2396 KB Output is correct
13 Correct 0 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 2 ms 2396 KB Output is correct
17 Correct 2 ms 2392 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 1 ms 2652 KB Output is correct
22 Correct 1 ms 2652 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 2 ms 2652 KB Output is correct
25 Correct 3 ms 2652 KB Output is correct
26 Correct 3 ms 2652 KB Output is correct
27 Correct 3 ms 2652 KB Output is correct
28 Correct 3 ms 2652 KB Output is correct
29 Correct 3 ms 2652 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 2 ms 2652 KB Output is correct
32 Correct 2 ms 2652 KB Output is correct
33 Correct 3 ms 2652 KB Output is correct
34 Correct 4 ms 2652 KB Output is correct
35 Correct 4 ms 2652 KB Output is correct
36 Correct 2 ms 2652 KB Output is correct
37 Correct 10 ms 2756 KB Output is correct
38 Correct 10 ms 2752 KB Output is correct
39 Correct 36 ms 3164 KB Output is correct
40 Correct 22 ms 2908 KB Output is correct
41 Correct 46 ms 3164 KB Output is correct
42 Correct 20 ms 3180 KB Output is correct
43 Correct 35 ms 3104 KB Output is correct
44 Correct 37 ms 3136 KB Output is correct
45 Correct 35 ms 3228 KB Output is correct
46 Correct 20 ms 2916 KB Output is correct
47 Correct 21 ms 2908 KB Output is correct
48 Correct 39 ms 3172 KB Output is correct
49 Correct 38 ms 3180 KB Output is correct
50 Correct 29 ms 2908 KB Output is correct
51 Correct 1 ms 348 KB Output is correct
52 Correct 49 ms 3208 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 2 ms 2396 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 2392 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 2396 KB Output is correct
8 Correct 4 ms 2396 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 2 ms 2396 KB Output is correct
12 Correct 2 ms 2396 KB Output is correct
13 Correct 0 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 2 ms 2396 KB Output is correct
17 Correct 2 ms 2392 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 1 ms 2652 KB Output is correct
22 Correct 1 ms 2652 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 2 ms 2652 KB Output is correct
25 Correct 3 ms 2652 KB Output is correct
26 Correct 3 ms 2652 KB Output is correct
27 Correct 3 ms 2652 KB Output is correct
28 Correct 3 ms 2652 KB Output is correct
29 Correct 3 ms 2652 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 2 ms 2652 KB Output is correct
32 Correct 2 ms 2652 KB Output is correct
33 Correct 3 ms 2652 KB Output is correct
34 Correct 4 ms 2652 KB Output is correct
35 Correct 4 ms 2652 KB Output is correct
36 Correct 2 ms 2652 KB Output is correct
37 Correct 10 ms 2756 KB Output is correct
38 Correct 10 ms 2752 KB Output is correct
39 Correct 36 ms 3164 KB Output is correct
40 Correct 22 ms 2908 KB Output is correct
41 Correct 46 ms 3164 KB Output is correct
42 Correct 20 ms 3180 KB Output is correct
43 Correct 35 ms 3104 KB Output is correct
44 Correct 37 ms 3136 KB Output is correct
45 Correct 35 ms 3228 KB Output is correct
46 Correct 20 ms 2916 KB Output is correct
47 Correct 21 ms 2908 KB Output is correct
48 Correct 39 ms 3172 KB Output is correct
49 Correct 38 ms 3180 KB Output is correct
50 Correct 29 ms 2908 KB Output is correct
51 Correct 1 ms 348 KB Output is correct
52 Correct 49 ms 3208 KB Output is correct
53 Correct 35 ms 3064 KB Output is correct
54 Correct 50 ms 3136 KB Output is correct
55 Correct 109 ms 3784 KB Output is correct
56 Correct 43 ms 3236 KB Output is correct
57 Correct 114 ms 3836 KB Output is correct
58 Correct 67 ms 3164 KB Output is correct
59 Correct 67 ms 3304 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 75 ms 3332 KB Output is correct
62 Correct 78 ms 3676 KB Output is correct
63 Correct 85 ms 3732 KB Output is correct
64 Correct 83 ms 3724 KB Output is correct
65 Correct 36 ms 3240 KB Output is correct
66 Correct 39 ms 3000 KB Output is correct

Subtask #6
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 2 ms 2396 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 2392 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 2396 KB Output is correct
8 Correct 4 ms 2396 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 2 ms 2396 KB Output is correct
12 Correct 2 ms 2396 KB Output is correct
13 Correct 0 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 2 ms 2396 KB Output is correct
17 Correct 2 ms 2392 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 1 ms 2652 KB Output is correct
22 Correct 1 ms 2652 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 2 ms 2652 KB Output is correct
25 Correct 3 ms 2652 KB Output is correct
26 Correct 3 ms 2652 KB Output is correct
27 Correct 3 ms 2652 KB Output is correct
28 Correct 3 ms 2652 KB Output is correct
29 Correct 3 ms 2652 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 2 ms 2652 KB Output is correct
32 Correct 2 ms 2652 KB Output is correct
33 Correct 3 ms 2652 KB Output is correct
34 Correct 4 ms 2652 KB Output is correct
35 Correct 4 ms 2652 KB Output is correct
36 Correct 2 ms 2652 KB Output is correct
37 Correct 10 ms 2756 KB Output is correct
38 Correct 10 ms 2752 KB Output is correct
39 Correct 36 ms 3164 KB Output is correct
40 Correct 22 ms 2908 KB Output is correct
41 Correct 46 ms 3164 KB Output is correct
42 Correct 20 ms 3180 KB Output is correct
43 Correct 35 ms 3104 KB Output is correct
44 Correct 37 ms 3136 KB Output is correct
45 Correct 35 ms 3228 KB Output is correct
46 Correct 20 ms 2916 KB Output is correct
47 Correct 21 ms 2908 KB Output is correct
48 Correct 39 ms 3172 KB Output is correct
49 Correct 38 ms 3180 KB Output is correct
50 Correct 29 ms 2908 KB Output is correct
51 Correct 1 ms 348 KB Output is correct
52 Correct 49 ms 3208 KB Output is correct
53 Correct 35 ms 3064 KB Output is correct
54 Correct 50 ms 3136 KB Output is correct
55 Correct 109 ms 3784 KB Output is correct
56 Correct 43 ms 3236 KB Output is correct
57 Correct 114 ms 3836 KB Output is correct
58 Correct 67 ms 3164 KB Output is correct
59 Correct 67 ms 3304 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 75 ms 3332 KB Output is correct
62 Correct 78 ms 3676 KB Output is correct
63 Correct 85 ms 3732 KB Output is correct
64 Correct 83 ms 3724 KB Output is correct
65 Correct 36 ms 3240 KB Output is correct
66 Correct 39 ms 3000 KB Output is correct
67 Correct 82 ms 3300 KB Output is correct
68 Correct 55 ms 2488 KB Output is correct
69 Incorrect 267 ms 6128 KB Output isn't correct
70 Halted 0 ms 0 KB -