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답안 #954318

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
954318 2024-03-27T15:41:25 Z nguyennh Bootfall (IZhO17_bootfall) C++14
65 / 100
 213 ms 4836 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{
  int64_t dp[MN];
  bool choose[MN];
  
  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);
    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 (){
  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

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 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 2396 KB Output is correct
8 Correct 4 ms 2516 KB Output is correct
9 Correct 0 ms 348 KB Output is correct

Subtask #2
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 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 2396 KB Output is correct
8 Correct 4 ms 2516 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 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 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

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 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 2396 KB Output is correct
8 Correct 4 ms 2516 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 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 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 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 1 ms 2652 KB Output is correct
25 Correct 2 ms 2652 KB Output is correct
26 Correct 2 ms 2652 KB Output is correct
27 Correct 3 ms 2648 KB Output is correct
28 Correct 2 ms 2652 KB Output is correct
29 Correct 2 ms 2764 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 2 ms 2652 KB Output is correct
32 Correct 1 ms 2652 KB Output is correct
33 Correct 2 ms 2652 KB Output is correct
34 Correct 3 ms 2652 KB Output is correct
35 Correct 2 ms 2768 KB Output is correct
36 Correct 2 ms 2652 KB Output is correct

Subtask #4
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 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 2396 KB Output is correct
8 Correct 4 ms 2516 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 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 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 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 1 ms 2652 KB Output is correct
25 Correct 2 ms 2652 KB Output is correct
26 Correct 2 ms 2652 KB Output is correct
27 Correct 3 ms 2648 KB Output is correct
28 Correct 2 ms 2652 KB Output is correct
29 Correct 2 ms 2764 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 2 ms 2652 KB Output is correct
32 Correct 1 ms 2652 KB Output is correct
33 Correct 2 ms 2652 KB Output is correct
34 Correct 3 ms 2652 KB Output is correct
35 Correct 2 ms 2768 KB Output is correct
36 Correct 2 ms 2652 KB Output is correct
37 Correct 8 ms 2756 KB Output is correct
38 Correct 8 ms 2752 KB Output is correct
39 Correct 29 ms 3164 KB Output is correct
40 Correct 17 ms 2908 KB Output is correct
41 Correct 37 ms 3160 KB Output is correct
42 Correct 15 ms 2928 KB Output is correct
43 Correct 27 ms 3136 KB Output is correct
44 Correct 28 ms 3228 KB Output is correct
45 Correct 29 ms 3212 KB Output is correct
46 Correct 17 ms 3112 KB Output is correct
47 Correct 16 ms 2964 KB Output is correct
48 Correct 30 ms 3176 KB Output is correct
49 Correct 31 ms 3184 KB Output is correct
50 Correct 16 ms 2960 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 38 ms 3232 KB Output is correct

Subtask #5
21.0 / 21.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 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 2396 KB Output is correct
8 Correct 4 ms 2516 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 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 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 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 1 ms 2652 KB Output is correct
25 Correct 2 ms 2652 KB Output is correct
26 Correct 2 ms 2652 KB Output is correct
27 Correct 3 ms 2648 KB Output is correct
28 Correct 2 ms 2652 KB Output is correct
29 Correct 2 ms 2764 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 2 ms 2652 KB Output is correct
32 Correct 1 ms 2652 KB Output is correct
33 Correct 2 ms 2652 KB Output is correct
34 Correct 3 ms 2652 KB Output is correct
35 Correct 2 ms 2768 KB Output is correct
36 Correct 2 ms 2652 KB Output is correct
37 Correct 8 ms 2756 KB Output is correct
38 Correct 8 ms 2752 KB Output is correct
39 Correct 29 ms 3164 KB Output is correct
40 Correct 17 ms 2908 KB Output is correct
41 Correct 37 ms 3160 KB Output is correct
42 Correct 15 ms 2928 KB Output is correct
43 Correct 27 ms 3136 KB Output is correct
44 Correct 28 ms 3228 KB Output is correct
45 Correct 29 ms 3212 KB Output is correct
46 Correct 17 ms 3112 KB Output is correct
47 Correct 16 ms 2964 KB Output is correct
48 Correct 30 ms 3176 KB Output is correct
49 Correct 31 ms 3184 KB Output is correct
50 Correct 16 ms 2960 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 38 ms 3232 KB Output is correct
53 Correct 26 ms 3056 KB Output is correct
54 Correct 39 ms 3120 KB Output is correct
55 Correct 77 ms 3812 KB Output is correct
56 Correct 34 ms 3216 KB Output is correct
57 Correct 81 ms 3760 KB Output is correct
58 Correct 42 ms 3184 KB Output is correct
59 Correct 53 ms 3312 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 59 ms 3352 KB Output is correct
62 Correct 60 ms 3672 KB Output is correct
63 Correct 66 ms 3740 KB Output is correct
64 Correct 65 ms 3720 KB Output is correct
65 Correct 28 ms 3044 KB Output is correct
66 Correct 30 ms 3004 KB Output is correct

Subtask #6
0 / 35.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 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 2396 KB Output is correct
8 Correct 4 ms 2516 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 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 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 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 1 ms 2652 KB Output is correct
25 Correct 2 ms 2652 KB Output is correct
26 Correct 2 ms 2652 KB Output is correct
27 Correct 3 ms 2648 KB Output is correct
28 Correct 2 ms 2652 KB Output is correct
29 Correct 2 ms 2764 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 2 ms 2652 KB Output is correct
32 Correct 1 ms 2652 KB Output is correct
33 Correct 2 ms 2652 KB Output is correct
34 Correct 3 ms 2652 KB Output is correct
35 Correct 2 ms 2768 KB Output is correct
36 Correct 2 ms 2652 KB Output is correct
37 Correct 8 ms 2756 KB Output is correct
38 Correct 8 ms 2752 KB Output is correct
39 Correct 29 ms 3164 KB Output is correct
40 Correct 17 ms 2908 KB Output is correct
41 Correct 37 ms 3160 KB Output is correct
42 Correct 15 ms 2928 KB Output is correct
43 Correct 27 ms 3136 KB Output is correct
44 Correct 28 ms 3228 KB Output is correct
45 Correct 29 ms 3212 KB Output is correct
46 Correct 17 ms 3112 KB Output is correct
47 Correct 16 ms 2964 KB Output is correct
48 Correct 30 ms 3176 KB Output is correct
49 Correct 31 ms 3184 KB Output is correct
50 Correct 16 ms 2960 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 38 ms 3232 KB Output is correct
53 Correct 26 ms 3056 KB Output is correct
54 Correct 39 ms 3120 KB Output is correct
55 Correct 77 ms 3812 KB Output is correct
56 Correct 34 ms 3216 KB Output is correct
57 Correct 81 ms 3760 KB Output is correct
58 Correct 42 ms 3184 KB Output is correct
59 Correct 53 ms 3312 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 59 ms 3352 KB Output is correct
62 Correct 60 ms 3672 KB Output is correct
63 Correct 66 ms 3740 KB Output is correct
64 Correct 65 ms 3720 KB Output is correct
65 Correct 28 ms 3044 KB Output is correct
66 Correct 30 ms 3004 KB Output is correct
67 Correct 62 ms 3536 KB Output is correct
68 Correct 28 ms 2392 KB Output is correct
69 Incorrect 213 ms 4836 KB Output isn't correct
70 Halted 0 ms 0 KB -