#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,popcnt")
#define ll long long
#define pll pair<ll,ll>
#define pii pair<int,int>
#define fs first
#define sc second
#define tlll tuple<ll,ll,ll>
mt19937 seed(time(NULL));
#define rnd(l,r) uniform_int_distribution<int>(l,r)(seed)
const int mxn = 510;
const int C = mxn*mxn;
int mod = 998244353;
int arr[mxn];
int dp[C];
int del[C];
int n;
int sum = 0;
bitset<C> able;
set<int> ans;
inline int mad(int a,int b){
a += b;
return a>=mod?a-mod:a;
}
inline int mub(int a,int b){
return mad(a,mod-b);
}
inline bool check(int now,int tsum){
if(sum&1)return false;
if(!dp[sum>>1])return false;
if(tsum&1)return false;
if(now+now>tsum)return false;
if(!del[tsum>>1])return false;
return true;
}
inline void relax(int tar){
mod = tar;
memset(dp,0,sizeof(dp));
dp[0] = 1;
able.set();
for(int i = 1;i<=n;i++){
for(int j = C-1;j>=arr[i];j--)dp[j] = mad(dp[j],dp[j-arr[i]]);
}
for(int i = 1;i<=n;i++){
for(int j = 0;j<C;j++)del[j] = dp[j];
for(int j = arr[i];j<C;j++)del[j] = mub(del[j],del[j-arr[i]]);
for(int j = 1;j<=sum;j++){
if(!check(j,sum-arr[i]+j))able[j] = false;
}
}
for(int j = 1;j<=sum;j++)if(able[j])ans.insert(j);
}
int main(){
ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
cin>>n;
dp[0] = 1;
for(int i = 1;i<=n;i++){
cin>>arr[i];
sum += arr[i];
}
int lim = CLOCKS_PER_SEC*0.9;
int st = clock();
relax((int)1e9+7);
relax((int)712271227);
relax((int)1e8+7);
relax(113);
relax(998244353);
relax(101010111);
const int inf = 1e9+10;
//cout<<rnd(0,inf);
if(n>350)while(clock()-st<=lim)relax(rnd(0,inf));
/*
for(int i = 0;i<=10;i++)cout<<dp[i]<<' ';cout<<endl;
cout<<sum<<endl;
cout<<endl;
for(int i = 1;i<=n;i++){
for(int j = 0;j<=10;j++)cout<<del[i][j]<<' ';cout<<endl;
}
sort(ans.begin(),ans.end());
ans.erase(unique(ans.begin(),ans.end()),ans.end());
*/
cout<<ans.size()<<'\n';
for(auto &i:ans)cout<<i<<' ';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
19 ms |
2392 KB |
Output is correct |
2 |
Correct |
15 ms |
2396 KB |
Output is correct |
3 |
Correct |
12 ms |
2392 KB |
Output is correct |
4 |
Correct |
5 ms |
2648 KB |
Output is correct |
5 |
Correct |
17 ms |
2536 KB |
Output is correct |
6 |
Correct |
16 ms |
2396 KB |
Output is correct |
7 |
Correct |
8 ms |
2396 KB |
Output is correct |
8 |
Correct |
15 ms |
2396 KB |
Output is correct |
9 |
Correct |
13 ms |
2524 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
19 ms |
2392 KB |
Output is correct |
2 |
Correct |
15 ms |
2396 KB |
Output is correct |
3 |
Correct |
12 ms |
2392 KB |
Output is correct |
4 |
Correct |
5 ms |
2648 KB |
Output is correct |
5 |
Correct |
17 ms |
2536 KB |
Output is correct |
6 |
Correct |
16 ms |
2396 KB |
Output is correct |
7 |
Correct |
8 ms |
2396 KB |
Output is correct |
8 |
Correct |
15 ms |
2396 KB |
Output is correct |
9 |
Correct |
13 ms |
2524 KB |
Output is correct |
10 |
Correct |
50 ms |
2396 KB |
Output is correct |
11 |
Correct |
84 ms |
2900 KB |
Output is correct |
12 |
Correct |
60 ms |
2396 KB |
Output is correct |
13 |
Correct |
65 ms |
2396 KB |
Output is correct |
14 |
Correct |
65 ms |
2396 KB |
Output is correct |
15 |
Correct |
77 ms |
2756 KB |
Output is correct |
16 |
Correct |
86 ms |
2396 KB |
Output is correct |
17 |
Correct |
43 ms |
2396 KB |
Output is correct |
18 |
Correct |
55 ms |
2392 KB |
Output is correct |
19 |
Correct |
65 ms |
2524 KB |
Output is correct |
20 |
Correct |
45 ms |
2508 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
19 ms |
2392 KB |
Output is correct |
2 |
Correct |
15 ms |
2396 KB |
Output is correct |
3 |
Correct |
12 ms |
2392 KB |
Output is correct |
4 |
Correct |
5 ms |
2648 KB |
Output is correct |
5 |
Correct |
17 ms |
2536 KB |
Output is correct |
6 |
Correct |
16 ms |
2396 KB |
Output is correct |
7 |
Correct |
8 ms |
2396 KB |
Output is correct |
8 |
Correct |
15 ms |
2396 KB |
Output is correct |
9 |
Correct |
13 ms |
2524 KB |
Output is correct |
10 |
Correct |
50 ms |
2396 KB |
Output is correct |
11 |
Correct |
84 ms |
2900 KB |
Output is correct |
12 |
Correct |
60 ms |
2396 KB |
Output is correct |
13 |
Correct |
65 ms |
2396 KB |
Output is correct |
14 |
Correct |
65 ms |
2396 KB |
Output is correct |
15 |
Correct |
77 ms |
2756 KB |
Output is correct |
16 |
Correct |
86 ms |
2396 KB |
Output is correct |
17 |
Correct |
43 ms |
2396 KB |
Output is correct |
18 |
Correct |
55 ms |
2392 KB |
Output is correct |
19 |
Correct |
65 ms |
2524 KB |
Output is correct |
20 |
Correct |
45 ms |
2508 KB |
Output is correct |
21 |
Correct |
90 ms |
2396 KB |
Output is correct |
22 |
Correct |
107 ms |
2648 KB |
Output is correct |
23 |
Correct |
75 ms |
2596 KB |
Output is correct |
24 |
Correct |
142 ms |
2392 KB |
Output is correct |
25 |
Correct |
101 ms |
2648 KB |
Output is correct |
26 |
Correct |
107 ms |
2656 KB |
Output is correct |
27 |
Correct |
107 ms |
2544 KB |
Output is correct |
28 |
Correct |
108 ms |
2392 KB |
Output is correct |
29 |
Correct |
108 ms |
2548 KB |
Output is correct |
30 |
Correct |
129 ms |
2504 KB |
Output is correct |
31 |
Correct |
107 ms |
2672 KB |
Output is correct |
32 |
Correct |
142 ms |
2396 KB |
Output is correct |
33 |
Correct |
111 ms |
2504 KB |
Output is correct |
34 |
Correct |
112 ms |
2528 KB |
Output is correct |
35 |
Correct |
109 ms |
2512 KB |
Output is correct |
36 |
Correct |
155 ms |
2396 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
19 ms |
2392 KB |
Output is correct |
2 |
Correct |
15 ms |
2396 KB |
Output is correct |
3 |
Correct |
12 ms |
2392 KB |
Output is correct |
4 |
Correct |
5 ms |
2648 KB |
Output is correct |
5 |
Correct |
17 ms |
2536 KB |
Output is correct |
6 |
Correct |
16 ms |
2396 KB |
Output is correct |
7 |
Correct |
8 ms |
2396 KB |
Output is correct |
8 |
Correct |
15 ms |
2396 KB |
Output is correct |
9 |
Correct |
13 ms |
2524 KB |
Output is correct |
10 |
Correct |
50 ms |
2396 KB |
Output is correct |
11 |
Correct |
84 ms |
2900 KB |
Output is correct |
12 |
Correct |
60 ms |
2396 KB |
Output is correct |
13 |
Correct |
65 ms |
2396 KB |
Output is correct |
14 |
Correct |
65 ms |
2396 KB |
Output is correct |
15 |
Correct |
77 ms |
2756 KB |
Output is correct |
16 |
Correct |
86 ms |
2396 KB |
Output is correct |
17 |
Correct |
43 ms |
2396 KB |
Output is correct |
18 |
Correct |
55 ms |
2392 KB |
Output is correct |
19 |
Correct |
65 ms |
2524 KB |
Output is correct |
20 |
Correct |
45 ms |
2508 KB |
Output is correct |
21 |
Correct |
90 ms |
2396 KB |
Output is correct |
22 |
Correct |
107 ms |
2648 KB |
Output is correct |
23 |
Correct |
75 ms |
2596 KB |
Output is correct |
24 |
Correct |
142 ms |
2392 KB |
Output is correct |
25 |
Correct |
101 ms |
2648 KB |
Output is correct |
26 |
Correct |
107 ms |
2656 KB |
Output is correct |
27 |
Correct |
107 ms |
2544 KB |
Output is correct |
28 |
Correct |
108 ms |
2392 KB |
Output is correct |
29 |
Correct |
108 ms |
2548 KB |
Output is correct |
30 |
Correct |
129 ms |
2504 KB |
Output is correct |
31 |
Correct |
107 ms |
2672 KB |
Output is correct |
32 |
Correct |
142 ms |
2396 KB |
Output is correct |
33 |
Correct |
111 ms |
2504 KB |
Output is correct |
34 |
Correct |
112 ms |
2528 KB |
Output is correct |
35 |
Correct |
109 ms |
2512 KB |
Output is correct |
36 |
Correct |
155 ms |
2396 KB |
Output is correct |
37 |
Correct |
227 ms |
2756 KB |
Output is correct |
38 |
Correct |
227 ms |
2956 KB |
Output is correct |
39 |
Correct |
429 ms |
2388 KB |
Output is correct |
40 |
Correct |
368 ms |
3256 KB |
Output is correct |
41 |
Correct |
497 ms |
2500 KB |
Output is correct |
42 |
Correct |
341 ms |
3152 KB |
Output is correct |
43 |
Correct |
338 ms |
3804 KB |
Output is correct |
44 |
Correct |
348 ms |
3788 KB |
Output is correct |
45 |
Correct |
351 ms |
3792 KB |
Output is correct |
46 |
Correct |
382 ms |
2508 KB |
Output is correct |
47 |
Correct |
335 ms |
3276 KB |
Output is correct |
48 |
Correct |
374 ms |
3396 KB |
Output is correct |
49 |
Correct |
393 ms |
2644 KB |
Output is correct |
50 |
Correct |
347 ms |
3408 KB |
Output is correct |
51 |
Correct |
353 ms |
2504 KB |
Output is correct |
52 |
Correct |
415 ms |
3868 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
19 ms |
2392 KB |
Output is correct |
2 |
Correct |
15 ms |
2396 KB |
Output is correct |
3 |
Correct |
12 ms |
2392 KB |
Output is correct |
4 |
Correct |
5 ms |
2648 KB |
Output is correct |
5 |
Correct |
17 ms |
2536 KB |
Output is correct |
6 |
Correct |
16 ms |
2396 KB |
Output is correct |
7 |
Correct |
8 ms |
2396 KB |
Output is correct |
8 |
Correct |
15 ms |
2396 KB |
Output is correct |
9 |
Correct |
13 ms |
2524 KB |
Output is correct |
10 |
Correct |
50 ms |
2396 KB |
Output is correct |
11 |
Correct |
84 ms |
2900 KB |
Output is correct |
12 |
Correct |
60 ms |
2396 KB |
Output is correct |
13 |
Correct |
65 ms |
2396 KB |
Output is correct |
14 |
Correct |
65 ms |
2396 KB |
Output is correct |
15 |
Correct |
77 ms |
2756 KB |
Output is correct |
16 |
Correct |
86 ms |
2396 KB |
Output is correct |
17 |
Correct |
43 ms |
2396 KB |
Output is correct |
18 |
Correct |
55 ms |
2392 KB |
Output is correct |
19 |
Correct |
65 ms |
2524 KB |
Output is correct |
20 |
Correct |
45 ms |
2508 KB |
Output is correct |
21 |
Correct |
90 ms |
2396 KB |
Output is correct |
22 |
Correct |
107 ms |
2648 KB |
Output is correct |
23 |
Correct |
75 ms |
2596 KB |
Output is correct |
24 |
Correct |
142 ms |
2392 KB |
Output is correct |
25 |
Correct |
101 ms |
2648 KB |
Output is correct |
26 |
Correct |
107 ms |
2656 KB |
Output is correct |
27 |
Correct |
107 ms |
2544 KB |
Output is correct |
28 |
Correct |
108 ms |
2392 KB |
Output is correct |
29 |
Correct |
108 ms |
2548 KB |
Output is correct |
30 |
Correct |
129 ms |
2504 KB |
Output is correct |
31 |
Correct |
107 ms |
2672 KB |
Output is correct |
32 |
Correct |
142 ms |
2396 KB |
Output is correct |
33 |
Correct |
111 ms |
2504 KB |
Output is correct |
34 |
Correct |
112 ms |
2528 KB |
Output is correct |
35 |
Correct |
109 ms |
2512 KB |
Output is correct |
36 |
Correct |
155 ms |
2396 KB |
Output is correct |
37 |
Correct |
227 ms |
2756 KB |
Output is correct |
38 |
Correct |
227 ms |
2956 KB |
Output is correct |
39 |
Correct |
429 ms |
2388 KB |
Output is correct |
40 |
Correct |
368 ms |
3256 KB |
Output is correct |
41 |
Correct |
497 ms |
2500 KB |
Output is correct |
42 |
Correct |
341 ms |
3152 KB |
Output is correct |
43 |
Correct |
338 ms |
3804 KB |
Output is correct |
44 |
Correct |
348 ms |
3788 KB |
Output is correct |
45 |
Correct |
351 ms |
3792 KB |
Output is correct |
46 |
Correct |
382 ms |
2508 KB |
Output is correct |
47 |
Correct |
335 ms |
3276 KB |
Output is correct |
48 |
Correct |
374 ms |
3396 KB |
Output is correct |
49 |
Correct |
393 ms |
2644 KB |
Output is correct |
50 |
Correct |
347 ms |
3408 KB |
Output is correct |
51 |
Correct |
353 ms |
2504 KB |
Output is correct |
52 |
Correct |
415 ms |
3868 KB |
Output is correct |
53 |
Correct |
405 ms |
3556 KB |
Output is correct |
54 |
Correct |
488 ms |
3796 KB |
Output is correct |
55 |
Correct |
636 ms |
5204 KB |
Output is correct |
56 |
Correct |
427 ms |
3828 KB |
Output is correct |
57 |
Correct |
647 ms |
5456 KB |
Output is correct |
58 |
Correct |
535 ms |
3948 KB |
Output is correct |
59 |
Correct |
527 ms |
4280 KB |
Output is correct |
60 |
Correct |
583 ms |
2500 KB |
Output is correct |
61 |
Correct |
554 ms |
4692 KB |
Output is correct |
62 |
Correct |
532 ms |
4924 KB |
Output is correct |
63 |
Correct |
559 ms |
4816 KB |
Output is correct |
64 |
Correct |
550 ms |
5064 KB |
Output is correct |
65 |
Correct |
509 ms |
2392 KB |
Output is correct |
66 |
Correct |
513 ms |
2760 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
19 ms |
2392 KB |
Output is correct |
2 |
Correct |
15 ms |
2396 KB |
Output is correct |
3 |
Correct |
12 ms |
2392 KB |
Output is correct |
4 |
Correct |
5 ms |
2648 KB |
Output is correct |
5 |
Correct |
17 ms |
2536 KB |
Output is correct |
6 |
Correct |
16 ms |
2396 KB |
Output is correct |
7 |
Correct |
8 ms |
2396 KB |
Output is correct |
8 |
Correct |
15 ms |
2396 KB |
Output is correct |
9 |
Correct |
13 ms |
2524 KB |
Output is correct |
10 |
Correct |
50 ms |
2396 KB |
Output is correct |
11 |
Correct |
84 ms |
2900 KB |
Output is correct |
12 |
Correct |
60 ms |
2396 KB |
Output is correct |
13 |
Correct |
65 ms |
2396 KB |
Output is correct |
14 |
Correct |
65 ms |
2396 KB |
Output is correct |
15 |
Correct |
77 ms |
2756 KB |
Output is correct |
16 |
Correct |
86 ms |
2396 KB |
Output is correct |
17 |
Correct |
43 ms |
2396 KB |
Output is correct |
18 |
Correct |
55 ms |
2392 KB |
Output is correct |
19 |
Correct |
65 ms |
2524 KB |
Output is correct |
20 |
Correct |
45 ms |
2508 KB |
Output is correct |
21 |
Correct |
90 ms |
2396 KB |
Output is correct |
22 |
Correct |
107 ms |
2648 KB |
Output is correct |
23 |
Correct |
75 ms |
2596 KB |
Output is correct |
24 |
Correct |
142 ms |
2392 KB |
Output is correct |
25 |
Correct |
101 ms |
2648 KB |
Output is correct |
26 |
Correct |
107 ms |
2656 KB |
Output is correct |
27 |
Correct |
107 ms |
2544 KB |
Output is correct |
28 |
Correct |
108 ms |
2392 KB |
Output is correct |
29 |
Correct |
108 ms |
2548 KB |
Output is correct |
30 |
Correct |
129 ms |
2504 KB |
Output is correct |
31 |
Correct |
107 ms |
2672 KB |
Output is correct |
32 |
Correct |
142 ms |
2396 KB |
Output is correct |
33 |
Correct |
111 ms |
2504 KB |
Output is correct |
34 |
Correct |
112 ms |
2528 KB |
Output is correct |
35 |
Correct |
109 ms |
2512 KB |
Output is correct |
36 |
Correct |
155 ms |
2396 KB |
Output is correct |
37 |
Correct |
227 ms |
2756 KB |
Output is correct |
38 |
Correct |
227 ms |
2956 KB |
Output is correct |
39 |
Correct |
429 ms |
2388 KB |
Output is correct |
40 |
Correct |
368 ms |
3256 KB |
Output is correct |
41 |
Correct |
497 ms |
2500 KB |
Output is correct |
42 |
Correct |
341 ms |
3152 KB |
Output is correct |
43 |
Correct |
338 ms |
3804 KB |
Output is correct |
44 |
Correct |
348 ms |
3788 KB |
Output is correct |
45 |
Correct |
351 ms |
3792 KB |
Output is correct |
46 |
Correct |
382 ms |
2508 KB |
Output is correct |
47 |
Correct |
335 ms |
3276 KB |
Output is correct |
48 |
Correct |
374 ms |
3396 KB |
Output is correct |
49 |
Correct |
393 ms |
2644 KB |
Output is correct |
50 |
Correct |
347 ms |
3408 KB |
Output is correct |
51 |
Correct |
353 ms |
2504 KB |
Output is correct |
52 |
Correct |
415 ms |
3868 KB |
Output is correct |
53 |
Correct |
405 ms |
3556 KB |
Output is correct |
54 |
Correct |
488 ms |
3796 KB |
Output is correct |
55 |
Correct |
636 ms |
5204 KB |
Output is correct |
56 |
Correct |
427 ms |
3828 KB |
Output is correct |
57 |
Correct |
647 ms |
5456 KB |
Output is correct |
58 |
Correct |
535 ms |
3948 KB |
Output is correct |
59 |
Correct |
527 ms |
4280 KB |
Output is correct |
60 |
Correct |
583 ms |
2500 KB |
Output is correct |
61 |
Correct |
554 ms |
4692 KB |
Output is correct |
62 |
Correct |
532 ms |
4924 KB |
Output is correct |
63 |
Correct |
559 ms |
4816 KB |
Output is correct |
64 |
Correct |
550 ms |
5064 KB |
Output is correct |
65 |
Correct |
509 ms |
2392 KB |
Output is correct |
66 |
Correct |
513 ms |
2760 KB |
Output is correct |
67 |
Correct |
961 ms |
4372 KB |
Output is correct |
68 |
Execution timed out |
1079 ms |
2396 KB |
Time limit exceeded |
69 |
Halted |
0 ms |
0 KB |
- |