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답안 #954319

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
954319 2024-03-27T15:43:29 Z nguyennh Bootfall (IZhO17_bootfall) C++14
65 / 100
 261 ms 6088 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];
    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 2392 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 3 ms 2396 KB Output is correct
6 Correct 1 ms 2392 KB Output is correct
7 Correct 2 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

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2392 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 3 ms 2396 KB Output is correct
6 Correct 1 ms 2392 KB Output is correct
7 Correct 2 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 2392 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 2 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 2440 KB Output is correct
19 Correct 1 ms 2392 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 2392 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 3 ms 2396 KB Output is correct
6 Correct 1 ms 2392 KB Output is correct
7 Correct 2 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 2392 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 2 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 2440 KB Output is correct
19 Correct 1 ms 2392 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 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 2 ms 2728 KB Output is correct
25 Correct 3 ms 2652 KB Output is correct
26 Correct 4 ms 2652 KB Output is correct
27 Correct 3 ms 2652 KB Output is correct
28 Correct 3 ms 2768 KB Output is correct
29 Correct 3 ms 2652 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 3 ms 2652 KB Output is correct
32 Correct 2 ms 2652 KB Output is correct
33 Correct 3 ms 2776 KB Output is correct
34 Correct 3 ms 2648 KB Output is correct
35 Correct 3 ms 2764 KB Output is correct
36 Correct 3 ms 2648 KB Output is correct

Subtask #4
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2392 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 3 ms 2396 KB Output is correct
6 Correct 1 ms 2392 KB Output is correct
7 Correct 2 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 2392 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 2 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 2440 KB Output is correct
19 Correct 1 ms 2392 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 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 2 ms 2728 KB Output is correct
25 Correct 3 ms 2652 KB Output is correct
26 Correct 4 ms 2652 KB Output is correct
27 Correct 3 ms 2652 KB Output is correct
28 Correct 3 ms 2768 KB Output is correct
29 Correct 3 ms 2652 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 3 ms 2652 KB Output is correct
32 Correct 2 ms 2652 KB Output is correct
33 Correct 3 ms 2776 KB Output is correct
34 Correct 3 ms 2648 KB Output is correct
35 Correct 3 ms 2764 KB Output is correct
36 Correct 3 ms 2648 KB Output is correct
37 Correct 10 ms 2752 KB Output is correct
38 Correct 13 ms 2752 KB Output is correct
39 Correct 37 ms 3164 KB Output is correct
40 Correct 23 ms 2908 KB Output is correct
41 Correct 49 ms 3164 KB Output is correct
42 Correct 19 ms 3132 KB Output is correct
43 Correct 34 ms 3120 KB Output is correct
44 Correct 40 ms 3212 KB Output is correct
45 Correct 37 ms 3224 KB Output is correct
46 Correct 20 ms 2912 KB Output is correct
47 Correct 21 ms 2908 KB Output is correct
48 Correct 38 ms 3168 KB Output is correct
49 Correct 56 ms 3168 KB Output is correct
50 Correct 21 ms 2908 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 53 ms 3244 KB Output is correct

Subtask #5
21.0 / 21.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2392 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 3 ms 2396 KB Output is correct
6 Correct 1 ms 2392 KB Output is correct
7 Correct 2 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 2392 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 2 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 2440 KB Output is correct
19 Correct 1 ms 2392 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 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 2 ms 2728 KB Output is correct
25 Correct 3 ms 2652 KB Output is correct
26 Correct 4 ms 2652 KB Output is correct
27 Correct 3 ms 2652 KB Output is correct
28 Correct 3 ms 2768 KB Output is correct
29 Correct 3 ms 2652 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 3 ms 2652 KB Output is correct
32 Correct 2 ms 2652 KB Output is correct
33 Correct 3 ms 2776 KB Output is correct
34 Correct 3 ms 2648 KB Output is correct
35 Correct 3 ms 2764 KB Output is correct
36 Correct 3 ms 2648 KB Output is correct
37 Correct 10 ms 2752 KB Output is correct
38 Correct 13 ms 2752 KB Output is correct
39 Correct 37 ms 3164 KB Output is correct
40 Correct 23 ms 2908 KB Output is correct
41 Correct 49 ms 3164 KB Output is correct
42 Correct 19 ms 3132 KB Output is correct
43 Correct 34 ms 3120 KB Output is correct
44 Correct 40 ms 3212 KB Output is correct
45 Correct 37 ms 3224 KB Output is correct
46 Correct 20 ms 2912 KB Output is correct
47 Correct 21 ms 2908 KB Output is correct
48 Correct 38 ms 3168 KB Output is correct
49 Correct 56 ms 3168 KB Output is correct
50 Correct 21 ms 2908 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 53 ms 3244 KB Output is correct
53 Correct 34 ms 3048 KB Output is correct
54 Correct 48 ms 3124 KB Output is correct
55 Correct 97 ms 3808 KB Output is correct
56 Correct 44 ms 3124 KB Output is correct
57 Correct 106 ms 4000 KB Output is correct
58 Correct 53 ms 3172 KB Output is correct
59 Correct 67 ms 3308 KB Output is correct
60 Correct 1 ms 348 KB Output is correct
61 Correct 83 ms 3352 KB Output is correct
62 Correct 77 ms 3672 KB Output is correct
63 Correct 110 ms 3604 KB Output is correct
64 Correct 84 ms 3724 KB Output is correct
65 Correct 44 ms 3044 KB Output is correct
66 Correct 47 ms 3076 KB Output is correct

Subtask #6
0 / 35.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2392 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 3 ms 2396 KB Output is correct
6 Correct 1 ms 2392 KB Output is correct
7 Correct 2 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 2392 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 2 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 2440 KB Output is correct
19 Correct 1 ms 2392 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 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 2 ms 2728 KB Output is correct
25 Correct 3 ms 2652 KB Output is correct
26 Correct 4 ms 2652 KB Output is correct
27 Correct 3 ms 2652 KB Output is correct
28 Correct 3 ms 2768 KB Output is correct
29 Correct 3 ms 2652 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 3 ms 2652 KB Output is correct
32 Correct 2 ms 2652 KB Output is correct
33 Correct 3 ms 2776 KB Output is correct
34 Correct 3 ms 2648 KB Output is correct
35 Correct 3 ms 2764 KB Output is correct
36 Correct 3 ms 2648 KB Output is correct
37 Correct 10 ms 2752 KB Output is correct
38 Correct 13 ms 2752 KB Output is correct
39 Correct 37 ms 3164 KB Output is correct
40 Correct 23 ms 2908 KB Output is correct
41 Correct 49 ms 3164 KB Output is correct
42 Correct 19 ms 3132 KB Output is correct
43 Correct 34 ms 3120 KB Output is correct
44 Correct 40 ms 3212 KB Output is correct
45 Correct 37 ms 3224 KB Output is correct
46 Correct 20 ms 2912 KB Output is correct
47 Correct 21 ms 2908 KB Output is correct
48 Correct 38 ms 3168 KB Output is correct
49 Correct 56 ms 3168 KB Output is correct
50 Correct 21 ms 2908 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 53 ms 3244 KB Output is correct
53 Correct 34 ms 3048 KB Output is correct
54 Correct 48 ms 3124 KB Output is correct
55 Correct 97 ms 3808 KB Output is correct
56 Correct 44 ms 3124 KB Output is correct
57 Correct 106 ms 4000 KB Output is correct
58 Correct 53 ms 3172 KB Output is correct
59 Correct 67 ms 3308 KB Output is correct
60 Correct 1 ms 348 KB Output is correct
61 Correct 83 ms 3352 KB Output is correct
62 Correct 77 ms 3672 KB Output is correct
63 Correct 110 ms 3604 KB Output is correct
64 Correct 84 ms 3724 KB Output is correct
65 Correct 44 ms 3044 KB Output is correct
66 Correct 47 ms 3076 KB Output is correct
67 Correct 84 ms 3304 KB Output is correct
68 Correct 48 ms 2488 KB Output is correct
69 Incorrect 261 ms 6088 KB Output isn't correct
70 Halted 0 ms 0 KB -