#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define all(x) x.begin(), x.end()
#define pb push_back
const int N = 250000;
int dp[N], used[N];
int main(){
int n;
cin>>n;
vector<ll>a(n);
ll sum = 0;
for(int i=0;i<n;i++){
cin>>a[i];
sum += a[i];
}
sort(all(a));
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 & 1 || !dp[sum/2]){
cout<<0;
return 0;
}
int cur = sum;
for(int i=0;i<n;i++){
for(int j=a[i]; j<= sum; j++){
dp[j] -= dp[j - a[i]];
}
cur -= a[i];
for(int j = cur/2; j <= sum - a[i]; j++){
if(dp[j] && j*2 > (sum - a[i])){
used[j*2 - (sum - a[i])] ++;
}
}
cur += 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(used[i] == n) ans.pb(i);
}
cout<<ans.size()<<'\n';
for(auto x:ans) cout<<x<<" ";
return 0;
}
/*
4
1 3 1 5
6
3 5 7 11 9 13
3
2 2 2
4
200 200 200 200
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
0 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
0 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
0 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
0 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
0 ms |
364 KB |
Output is correct |
13 |
Correct |
0 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
0 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
0 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
0 ms |
364 KB |
Output is correct |
13 |
Correct |
0 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
21 |
Correct |
2 ms |
364 KB |
Output is correct |
22 |
Correct |
2 ms |
364 KB |
Output is correct |
23 |
Correct |
1 ms |
364 KB |
Output is correct |
24 |
Correct |
2 ms |
364 KB |
Output is correct |
25 |
Correct |
3 ms |
492 KB |
Output is correct |
26 |
Correct |
3 ms |
492 KB |
Output is correct |
27 |
Correct |
3 ms |
364 KB |
Output is correct |
28 |
Correct |
3 ms |
364 KB |
Output is correct |
29 |
Correct |
3 ms |
364 KB |
Output is correct |
30 |
Correct |
2 ms |
364 KB |
Output is correct |
31 |
Correct |
3 ms |
492 KB |
Output is correct |
32 |
Correct |
2 ms |
364 KB |
Output is correct |
33 |
Correct |
3 ms |
364 KB |
Output is correct |
34 |
Correct |
4 ms |
364 KB |
Output is correct |
35 |
Correct |
3 ms |
364 KB |
Output is correct |
36 |
Correct |
2 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
0 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
0 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
0 ms |
364 KB |
Output is correct |
13 |
Correct |
0 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
21 |
Correct |
2 ms |
364 KB |
Output is correct |
22 |
Correct |
2 ms |
364 KB |
Output is correct |
23 |
Correct |
1 ms |
364 KB |
Output is correct |
24 |
Correct |
2 ms |
364 KB |
Output is correct |
25 |
Correct |
3 ms |
492 KB |
Output is correct |
26 |
Correct |
3 ms |
492 KB |
Output is correct |
27 |
Correct |
3 ms |
364 KB |
Output is correct |
28 |
Correct |
3 ms |
364 KB |
Output is correct |
29 |
Correct |
3 ms |
364 KB |
Output is correct |
30 |
Correct |
2 ms |
364 KB |
Output is correct |
31 |
Correct |
3 ms |
492 KB |
Output is correct |
32 |
Correct |
2 ms |
364 KB |
Output is correct |
33 |
Correct |
3 ms |
364 KB |
Output is correct |
34 |
Correct |
4 ms |
364 KB |
Output is correct |
35 |
Correct |
3 ms |
364 KB |
Output is correct |
36 |
Correct |
2 ms |
364 KB |
Output is correct |
37 |
Correct |
10 ms |
620 KB |
Output is correct |
38 |
Correct |
5 ms |
748 KB |
Output is correct |
39 |
Correct |
35 ms |
748 KB |
Output is correct |
40 |
Correct |
21 ms |
748 KB |
Output is correct |
41 |
Correct |
46 ms |
876 KB |
Output is correct |
42 |
Correct |
25 ms |
748 KB |
Output is correct |
43 |
Correct |
36 ms |
1132 KB |
Output is correct |
44 |
Correct |
35 ms |
1260 KB |
Output is correct |
45 |
Correct |
34 ms |
1132 KB |
Output is correct |
46 |
Correct |
32 ms |
620 KB |
Output is correct |
47 |
Correct |
20 ms |
748 KB |
Output is correct |
48 |
Correct |
37 ms |
1132 KB |
Output is correct |
49 |
Correct |
40 ms |
876 KB |
Output is correct |
50 |
Correct |
20 ms |
748 KB |
Output is correct |
51 |
Correct |
5 ms |
492 KB |
Output is correct |
52 |
Correct |
45 ms |
1260 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
0 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
0 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
0 ms |
364 KB |
Output is correct |
13 |
Correct |
0 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
21 |
Correct |
2 ms |
364 KB |
Output is correct |
22 |
Correct |
2 ms |
364 KB |
Output is correct |
23 |
Correct |
1 ms |
364 KB |
Output is correct |
24 |
Correct |
2 ms |
364 KB |
Output is correct |
25 |
Correct |
3 ms |
492 KB |
Output is correct |
26 |
Correct |
3 ms |
492 KB |
Output is correct |
27 |
Correct |
3 ms |
364 KB |
Output is correct |
28 |
Correct |
3 ms |
364 KB |
Output is correct |
29 |
Correct |
3 ms |
364 KB |
Output is correct |
30 |
Correct |
2 ms |
364 KB |
Output is correct |
31 |
Correct |
3 ms |
492 KB |
Output is correct |
32 |
Correct |
2 ms |
364 KB |
Output is correct |
33 |
Correct |
3 ms |
364 KB |
Output is correct |
34 |
Correct |
4 ms |
364 KB |
Output is correct |
35 |
Correct |
3 ms |
364 KB |
Output is correct |
36 |
Correct |
2 ms |
364 KB |
Output is correct |
37 |
Correct |
10 ms |
620 KB |
Output is correct |
38 |
Correct |
5 ms |
748 KB |
Output is correct |
39 |
Correct |
35 ms |
748 KB |
Output is correct |
40 |
Correct |
21 ms |
748 KB |
Output is correct |
41 |
Correct |
46 ms |
876 KB |
Output is correct |
42 |
Correct |
25 ms |
748 KB |
Output is correct |
43 |
Correct |
36 ms |
1132 KB |
Output is correct |
44 |
Correct |
35 ms |
1260 KB |
Output is correct |
45 |
Correct |
34 ms |
1132 KB |
Output is correct |
46 |
Correct |
32 ms |
620 KB |
Output is correct |
47 |
Correct |
20 ms |
748 KB |
Output is correct |
48 |
Correct |
37 ms |
1132 KB |
Output is correct |
49 |
Correct |
40 ms |
876 KB |
Output is correct |
50 |
Correct |
20 ms |
748 KB |
Output is correct |
51 |
Correct |
5 ms |
492 KB |
Output is correct |
52 |
Correct |
45 ms |
1260 KB |
Output is correct |
53 |
Correct |
36 ms |
1004 KB |
Output is correct |
54 |
Correct |
45 ms |
1132 KB |
Output is correct |
55 |
Correct |
90 ms |
1768 KB |
Output is correct |
56 |
Correct |
40 ms |
1132 KB |
Output is correct |
57 |
Correct |
95 ms |
1896 KB |
Output is correct |
58 |
Correct |
50 ms |
1260 KB |
Output is correct |
59 |
Correct |
62 ms |
1384 KB |
Output is correct |
60 |
Correct |
12 ms |
620 KB |
Output is correct |
61 |
Correct |
71 ms |
1640 KB |
Output is correct |
62 |
Correct |
72 ms |
1660 KB |
Output is correct |
63 |
Correct |
78 ms |
1768 KB |
Output is correct |
64 |
Correct |
75 ms |
1768 KB |
Output is correct |
65 |
Correct |
40 ms |
748 KB |
Output is correct |
66 |
Correct |
39 ms |
876 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
0 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
0 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
0 ms |
364 KB |
Output is correct |
13 |
Correct |
0 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
21 |
Correct |
2 ms |
364 KB |
Output is correct |
22 |
Correct |
2 ms |
364 KB |
Output is correct |
23 |
Correct |
1 ms |
364 KB |
Output is correct |
24 |
Correct |
2 ms |
364 KB |
Output is correct |
25 |
Correct |
3 ms |
492 KB |
Output is correct |
26 |
Correct |
3 ms |
492 KB |
Output is correct |
27 |
Correct |
3 ms |
364 KB |
Output is correct |
28 |
Correct |
3 ms |
364 KB |
Output is correct |
29 |
Correct |
3 ms |
364 KB |
Output is correct |
30 |
Correct |
2 ms |
364 KB |
Output is correct |
31 |
Correct |
3 ms |
492 KB |
Output is correct |
32 |
Correct |
2 ms |
364 KB |
Output is correct |
33 |
Correct |
3 ms |
364 KB |
Output is correct |
34 |
Correct |
4 ms |
364 KB |
Output is correct |
35 |
Correct |
3 ms |
364 KB |
Output is correct |
36 |
Correct |
2 ms |
364 KB |
Output is correct |
37 |
Correct |
10 ms |
620 KB |
Output is correct |
38 |
Correct |
5 ms |
748 KB |
Output is correct |
39 |
Correct |
35 ms |
748 KB |
Output is correct |
40 |
Correct |
21 ms |
748 KB |
Output is correct |
41 |
Correct |
46 ms |
876 KB |
Output is correct |
42 |
Correct |
25 ms |
748 KB |
Output is correct |
43 |
Correct |
36 ms |
1132 KB |
Output is correct |
44 |
Correct |
35 ms |
1260 KB |
Output is correct |
45 |
Correct |
34 ms |
1132 KB |
Output is correct |
46 |
Correct |
32 ms |
620 KB |
Output is correct |
47 |
Correct |
20 ms |
748 KB |
Output is correct |
48 |
Correct |
37 ms |
1132 KB |
Output is correct |
49 |
Correct |
40 ms |
876 KB |
Output is correct |
50 |
Correct |
20 ms |
748 KB |
Output is correct |
51 |
Correct |
5 ms |
492 KB |
Output is correct |
52 |
Correct |
45 ms |
1260 KB |
Output is correct |
53 |
Correct |
36 ms |
1004 KB |
Output is correct |
54 |
Correct |
45 ms |
1132 KB |
Output is correct |
55 |
Correct |
90 ms |
1768 KB |
Output is correct |
56 |
Correct |
40 ms |
1132 KB |
Output is correct |
57 |
Correct |
95 ms |
1896 KB |
Output is correct |
58 |
Correct |
50 ms |
1260 KB |
Output is correct |
59 |
Correct |
62 ms |
1384 KB |
Output is correct |
60 |
Correct |
12 ms |
620 KB |
Output is correct |
61 |
Correct |
71 ms |
1640 KB |
Output is correct |
62 |
Correct |
72 ms |
1660 KB |
Output is correct |
63 |
Correct |
78 ms |
1768 KB |
Output is correct |
64 |
Correct |
75 ms |
1768 KB |
Output is correct |
65 |
Correct |
40 ms |
748 KB |
Output is correct |
66 |
Correct |
39 ms |
876 KB |
Output is correct |
67 |
Correct |
73 ms |
1512 KB |
Output is correct |
68 |
Correct |
33 ms |
876 KB |
Output is correct |
69 |
Correct |
240 ms |
3172 KB |
Output is correct |
70 |
Correct |
144 ms |
2152 KB |
Output is correct |
71 |
Correct |
145 ms |
2024 KB |
Output is correct |
72 |
Correct |
140 ms |
1388 KB |
Output is correct |
73 |
Correct |
133 ms |
1260 KB |
Output is correct |
74 |
Correct |
256 ms |
3300 KB |
Output is correct |
75 |
Correct |
195 ms |
2660 KB |
Output is correct |
76 |
Correct |
278 ms |
3428 KB |
Output is correct |
77 |
Correct |
270 ms |
3612 KB |
Output is correct |