#include <bits/stdc++.h>
#define int long long
#define all(x) x.begin(),x.end()
#define ff first
#define ss second
#define pb push_back
using namespace std;
const int N=505;
int dp[N*500],mp[N*500];
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
int n;
cin>>n;
vector <int> a(n);
int sum=0;
for(int i=0;i<n;i++){
cin>>a[i];
sum+=a[i];
}
dp[0]=1;
for(int i=0;i<n;i++){
for(int j=sum;j>=a[i];j--){
dp[j]+=dp[j-a[i]];
}
}
if(sum%2==1 or !dp[sum/2]){
cout<<0<<"\n";return 0;
}
for(int i=0;i<n;i++){
for(int j=a[i];j<=sum;j++){
dp[j]-=dp[j-a[i]];
}
for(int j=1;j<=sum-a[i];j++){
if(j*2>sum-a[i] && dp[j]){
mp[j*2-(sum-a[i])]++;
}
}
for(int j=sum;j>=a[i];j--){
dp[j]+=dp[j-a[i]];
}
}
vector <int> ans;
for(int i=1;i<=sum;i++){
if(mp[i]==n)ans.pb(i);
}
cout<<ans.size()<<"\n";
for(auto x : ans)cout<<x<<" ";
cout<<'\n';
}
/*
4
1 3 1 5
6
3 5 7 11 9 13
3
2 2 2
4
200 200 200 200
4 25
1 2 3 4
1 2 3 4
12 6 3 4
3 3
19 4 5
2 6 2
5 60000
630510219 369411957 874325200 990002527 567203997
438920902 634940661 593780254 315929832 420627496
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
468 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
392 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
468 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
392 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
468 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
392 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
344 KB |
Output is correct |
22 |
Correct |
2 ms |
464 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
3 ms |
604 KB |
Output is correct |
25 |
Correct |
4 ms |
600 KB |
Output is correct |
26 |
Correct |
3 ms |
604 KB |
Output is correct |
27 |
Correct |
3 ms |
604 KB |
Output is correct |
28 |
Correct |
3 ms |
604 KB |
Output is correct |
29 |
Correct |
3 ms |
604 KB |
Output is correct |
30 |
Correct |
2 ms |
348 KB |
Output is correct |
31 |
Correct |
3 ms |
604 KB |
Output is correct |
32 |
Correct |
2 ms |
544 KB |
Output is correct |
33 |
Correct |
3 ms |
608 KB |
Output is correct |
34 |
Correct |
3 ms |
608 KB |
Output is correct |
35 |
Correct |
3 ms |
608 KB |
Output is correct |
36 |
Correct |
2 ms |
608 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
468 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
392 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
344 KB |
Output is correct |
22 |
Correct |
2 ms |
464 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
3 ms |
604 KB |
Output is correct |
25 |
Correct |
4 ms |
600 KB |
Output is correct |
26 |
Correct |
3 ms |
604 KB |
Output is correct |
27 |
Correct |
3 ms |
604 KB |
Output is correct |
28 |
Correct |
3 ms |
604 KB |
Output is correct |
29 |
Correct |
3 ms |
604 KB |
Output is correct |
30 |
Correct |
2 ms |
348 KB |
Output is correct |
31 |
Correct |
3 ms |
604 KB |
Output is correct |
32 |
Correct |
2 ms |
544 KB |
Output is correct |
33 |
Correct |
3 ms |
608 KB |
Output is correct |
34 |
Correct |
3 ms |
608 KB |
Output is correct |
35 |
Correct |
3 ms |
608 KB |
Output is correct |
36 |
Correct |
2 ms |
608 KB |
Output is correct |
37 |
Correct |
12 ms |
864 KB |
Output is correct |
38 |
Correct |
12 ms |
1044 KB |
Output is correct |
39 |
Correct |
46 ms |
1376 KB |
Output is correct |
40 |
Correct |
28 ms |
1112 KB |
Output is correct |
41 |
Correct |
54 ms |
1376 KB |
Output is correct |
42 |
Correct |
22 ms |
1104 KB |
Output is correct |
43 |
Correct |
42 ms |
1744 KB |
Output is correct |
44 |
Correct |
41 ms |
1728 KB |
Output is correct |
45 |
Correct |
41 ms |
1748 KB |
Output is correct |
46 |
Correct |
33 ms |
860 KB |
Output is correct |
47 |
Correct |
23 ms |
1116 KB |
Output is correct |
48 |
Correct |
44 ms |
1812 KB |
Output is correct |
49 |
Correct |
42 ms |
1420 KB |
Output is correct |
50 |
Correct |
24 ms |
1108 KB |
Output is correct |
51 |
Correct |
5 ms |
604 KB |
Output is correct |
52 |
Correct |
53 ms |
1948 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
468 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
392 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
344 KB |
Output is correct |
22 |
Correct |
2 ms |
464 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
3 ms |
604 KB |
Output is correct |
25 |
Correct |
4 ms |
600 KB |
Output is correct |
26 |
Correct |
3 ms |
604 KB |
Output is correct |
27 |
Correct |
3 ms |
604 KB |
Output is correct |
28 |
Correct |
3 ms |
604 KB |
Output is correct |
29 |
Correct |
3 ms |
604 KB |
Output is correct |
30 |
Correct |
2 ms |
348 KB |
Output is correct |
31 |
Correct |
3 ms |
604 KB |
Output is correct |
32 |
Correct |
2 ms |
544 KB |
Output is correct |
33 |
Correct |
3 ms |
608 KB |
Output is correct |
34 |
Correct |
3 ms |
608 KB |
Output is correct |
35 |
Correct |
3 ms |
608 KB |
Output is correct |
36 |
Correct |
2 ms |
608 KB |
Output is correct |
37 |
Correct |
12 ms |
864 KB |
Output is correct |
38 |
Correct |
12 ms |
1044 KB |
Output is correct |
39 |
Correct |
46 ms |
1376 KB |
Output is correct |
40 |
Correct |
28 ms |
1112 KB |
Output is correct |
41 |
Correct |
54 ms |
1376 KB |
Output is correct |
42 |
Correct |
22 ms |
1104 KB |
Output is correct |
43 |
Correct |
42 ms |
1744 KB |
Output is correct |
44 |
Correct |
41 ms |
1728 KB |
Output is correct |
45 |
Correct |
41 ms |
1748 KB |
Output is correct |
46 |
Correct |
33 ms |
860 KB |
Output is correct |
47 |
Correct |
23 ms |
1116 KB |
Output is correct |
48 |
Correct |
44 ms |
1812 KB |
Output is correct |
49 |
Correct |
42 ms |
1420 KB |
Output is correct |
50 |
Correct |
24 ms |
1108 KB |
Output is correct |
51 |
Correct |
5 ms |
604 KB |
Output is correct |
52 |
Correct |
53 ms |
1948 KB |
Output is correct |
53 |
Correct |
48 ms |
1564 KB |
Output is correct |
54 |
Correct |
68 ms |
1704 KB |
Output is correct |
55 |
Correct |
109 ms |
2768 KB |
Output is correct |
56 |
Correct |
48 ms |
1744 KB |
Output is correct |
57 |
Correct |
115 ms |
3024 KB |
Output is correct |
58 |
Correct |
61 ms |
1744 KB |
Output is correct |
59 |
Correct |
75 ms |
2216 KB |
Output is correct |
60 |
Correct |
15 ms |
860 KB |
Output is correct |
61 |
Correct |
118 ms |
2432 KB |
Output is correct |
62 |
Correct |
108 ms |
2512 KB |
Output is correct |
63 |
Correct |
94 ms |
2868 KB |
Output is correct |
64 |
Correct |
91 ms |
2688 KB |
Output is correct |
65 |
Correct |
37 ms |
1112 KB |
Output is correct |
66 |
Correct |
49 ms |
1364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
468 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
392 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
344 KB |
Output is correct |
22 |
Correct |
2 ms |
464 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
3 ms |
604 KB |
Output is correct |
25 |
Correct |
4 ms |
600 KB |
Output is correct |
26 |
Correct |
3 ms |
604 KB |
Output is correct |
27 |
Correct |
3 ms |
604 KB |
Output is correct |
28 |
Correct |
3 ms |
604 KB |
Output is correct |
29 |
Correct |
3 ms |
604 KB |
Output is correct |
30 |
Correct |
2 ms |
348 KB |
Output is correct |
31 |
Correct |
3 ms |
604 KB |
Output is correct |
32 |
Correct |
2 ms |
544 KB |
Output is correct |
33 |
Correct |
3 ms |
608 KB |
Output is correct |
34 |
Correct |
3 ms |
608 KB |
Output is correct |
35 |
Correct |
3 ms |
608 KB |
Output is correct |
36 |
Correct |
2 ms |
608 KB |
Output is correct |
37 |
Correct |
12 ms |
864 KB |
Output is correct |
38 |
Correct |
12 ms |
1044 KB |
Output is correct |
39 |
Correct |
46 ms |
1376 KB |
Output is correct |
40 |
Correct |
28 ms |
1112 KB |
Output is correct |
41 |
Correct |
54 ms |
1376 KB |
Output is correct |
42 |
Correct |
22 ms |
1104 KB |
Output is correct |
43 |
Correct |
42 ms |
1744 KB |
Output is correct |
44 |
Correct |
41 ms |
1728 KB |
Output is correct |
45 |
Correct |
41 ms |
1748 KB |
Output is correct |
46 |
Correct |
33 ms |
860 KB |
Output is correct |
47 |
Correct |
23 ms |
1116 KB |
Output is correct |
48 |
Correct |
44 ms |
1812 KB |
Output is correct |
49 |
Correct |
42 ms |
1420 KB |
Output is correct |
50 |
Correct |
24 ms |
1108 KB |
Output is correct |
51 |
Correct |
5 ms |
604 KB |
Output is correct |
52 |
Correct |
53 ms |
1948 KB |
Output is correct |
53 |
Correct |
48 ms |
1564 KB |
Output is correct |
54 |
Correct |
68 ms |
1704 KB |
Output is correct |
55 |
Correct |
109 ms |
2768 KB |
Output is correct |
56 |
Correct |
48 ms |
1744 KB |
Output is correct |
57 |
Correct |
115 ms |
3024 KB |
Output is correct |
58 |
Correct |
61 ms |
1744 KB |
Output is correct |
59 |
Correct |
75 ms |
2216 KB |
Output is correct |
60 |
Correct |
15 ms |
860 KB |
Output is correct |
61 |
Correct |
118 ms |
2432 KB |
Output is correct |
62 |
Correct |
108 ms |
2512 KB |
Output is correct |
63 |
Correct |
94 ms |
2868 KB |
Output is correct |
64 |
Correct |
91 ms |
2688 KB |
Output is correct |
65 |
Correct |
37 ms |
1112 KB |
Output is correct |
66 |
Correct |
49 ms |
1364 KB |
Output is correct |
67 |
Correct |
96 ms |
2516 KB |
Output is correct |
68 |
Correct |
36 ms |
1368 KB |
Output is correct |
69 |
Correct |
328 ms |
5324 KB |
Output is correct |
70 |
Correct |
178 ms |
3352 KB |
Output is correct |
71 |
Correct |
163 ms |
3368 KB |
Output is correct |
72 |
Correct |
176 ms |
2416 KB |
Output is correct |
73 |
Correct |
169 ms |
2640 KB |
Output is correct |
74 |
Correct |
279 ms |
5580 KB |
Output is correct |
75 |
Correct |
274 ms |
4308 KB |
Output is correct |
76 |
Correct |
329 ms |
5836 KB |
Output is correct |
77 |
Correct |
302 ms |
5816 KB |
Output is correct |