#include <bits/stdc++.h>
using namespace std;
/// 123
int32_t main() {
int n;
cin >> n;
vector<int> a(n);
for (int i = 0; i < n; i++) cin >> a[i];
int sum = accumulate(a.begin(), a.end(), 0);
vector<int64_t> f(sum + 1, 0);
f[0] = 1;
for (int i = 0; i < n; i++) {
for (int j = sum; j >= a[i]; j--) {
f[j] += f[j - a[i]];
}
}
if (sum % 2 || f[sum / 2] == 0) {
return cout << 0, 0;
}
vector<int> good(sum + 1, 1);
for (int i = 0; i < n; i++) {
for (int j = a[i]; j <= sum; j++) {
f[j] -= f[j - a[i]];
}
for (int j = 0; j <= sum; j++) {
good[j] &= ((j + sum - a[i]) % 2 == 0) && (f[(j + sum - a[i]) / 2]);
}
for (int j = sum; j >= a[i]; j--) {
f[j] += f[j - a[i]];
}
}
vector<int> ans;
for (int i = 1; i <= sum; i++) {
if (good[i]) ans.emplace_back(i);
}
cout << ans.size() << '\n';
for (int i : ans) cout << i << ' ';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
304 KB |
Output is correct |
3 |
Correct |
1 ms |
304 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
304 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
304 KB |
Output is correct |
3 |
Correct |
1 ms |
304 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
304 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
296 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
304 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
304 KB |
Output is correct |
17 |
Correct |
1 ms |
296 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
304 KB |
Output is correct |
3 |
Correct |
1 ms |
304 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
304 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
296 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
304 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
304 KB |
Output is correct |
17 |
Correct |
1 ms |
296 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
300 KB |
Output is correct |
23 |
Correct |
1 ms |
300 KB |
Output is correct |
24 |
Correct |
3 ms |
340 KB |
Output is correct |
25 |
Correct |
3 ms |
432 KB |
Output is correct |
26 |
Correct |
3 ms |
340 KB |
Output is correct |
27 |
Correct |
3 ms |
424 KB |
Output is correct |
28 |
Correct |
3 ms |
340 KB |
Output is correct |
29 |
Correct |
3 ms |
428 KB |
Output is correct |
30 |
Correct |
2 ms |
340 KB |
Output is correct |
31 |
Correct |
3 ms |
340 KB |
Output is correct |
32 |
Correct |
2 ms |
340 KB |
Output is correct |
33 |
Correct |
3 ms |
340 KB |
Output is correct |
34 |
Correct |
3 ms |
296 KB |
Output is correct |
35 |
Correct |
5 ms |
340 KB |
Output is correct |
36 |
Correct |
2 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
304 KB |
Output is correct |
3 |
Correct |
1 ms |
304 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
304 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
296 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
304 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
304 KB |
Output is correct |
17 |
Correct |
1 ms |
296 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
300 KB |
Output is correct |
23 |
Correct |
1 ms |
300 KB |
Output is correct |
24 |
Correct |
3 ms |
340 KB |
Output is correct |
25 |
Correct |
3 ms |
432 KB |
Output is correct |
26 |
Correct |
3 ms |
340 KB |
Output is correct |
27 |
Correct |
3 ms |
424 KB |
Output is correct |
28 |
Correct |
3 ms |
340 KB |
Output is correct |
29 |
Correct |
3 ms |
428 KB |
Output is correct |
30 |
Correct |
2 ms |
340 KB |
Output is correct |
31 |
Correct |
3 ms |
340 KB |
Output is correct |
32 |
Correct |
2 ms |
340 KB |
Output is correct |
33 |
Correct |
3 ms |
340 KB |
Output is correct |
34 |
Correct |
3 ms |
296 KB |
Output is correct |
35 |
Correct |
5 ms |
340 KB |
Output is correct |
36 |
Correct |
2 ms |
340 KB |
Output is correct |
37 |
Correct |
11 ms |
688 KB |
Output is correct |
38 |
Correct |
11 ms |
688 KB |
Output is correct |
39 |
Correct |
40 ms |
1020 KB |
Output is correct |
40 |
Correct |
25 ms |
820 KB |
Output is correct |
41 |
Correct |
56 ms |
1148 KB |
Output is correct |
42 |
Correct |
21 ms |
800 KB |
Output is correct |
43 |
Correct |
36 ms |
1212 KB |
Output is correct |
44 |
Correct |
43 ms |
1316 KB |
Output is correct |
45 |
Correct |
43 ms |
1220 KB |
Output is correct |
46 |
Correct |
23 ms |
684 KB |
Output is correct |
47 |
Correct |
23 ms |
800 KB |
Output is correct |
48 |
Correct |
42 ms |
1280 KB |
Output is correct |
49 |
Correct |
40 ms |
1032 KB |
Output is correct |
50 |
Correct |
23 ms |
812 KB |
Output is correct |
51 |
Correct |
4 ms |
468 KB |
Output is correct |
52 |
Correct |
59 ms |
1516 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
304 KB |
Output is correct |
3 |
Correct |
1 ms |
304 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
304 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
296 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
304 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
304 KB |
Output is correct |
17 |
Correct |
1 ms |
296 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
300 KB |
Output is correct |
23 |
Correct |
1 ms |
300 KB |
Output is correct |
24 |
Correct |
3 ms |
340 KB |
Output is correct |
25 |
Correct |
3 ms |
432 KB |
Output is correct |
26 |
Correct |
3 ms |
340 KB |
Output is correct |
27 |
Correct |
3 ms |
424 KB |
Output is correct |
28 |
Correct |
3 ms |
340 KB |
Output is correct |
29 |
Correct |
3 ms |
428 KB |
Output is correct |
30 |
Correct |
2 ms |
340 KB |
Output is correct |
31 |
Correct |
3 ms |
340 KB |
Output is correct |
32 |
Correct |
2 ms |
340 KB |
Output is correct |
33 |
Correct |
3 ms |
340 KB |
Output is correct |
34 |
Correct |
3 ms |
296 KB |
Output is correct |
35 |
Correct |
5 ms |
340 KB |
Output is correct |
36 |
Correct |
2 ms |
340 KB |
Output is correct |
37 |
Correct |
11 ms |
688 KB |
Output is correct |
38 |
Correct |
11 ms |
688 KB |
Output is correct |
39 |
Correct |
40 ms |
1020 KB |
Output is correct |
40 |
Correct |
25 ms |
820 KB |
Output is correct |
41 |
Correct |
56 ms |
1148 KB |
Output is correct |
42 |
Correct |
21 ms |
800 KB |
Output is correct |
43 |
Correct |
36 ms |
1212 KB |
Output is correct |
44 |
Correct |
43 ms |
1316 KB |
Output is correct |
45 |
Correct |
43 ms |
1220 KB |
Output is correct |
46 |
Correct |
23 ms |
684 KB |
Output is correct |
47 |
Correct |
23 ms |
800 KB |
Output is correct |
48 |
Correct |
42 ms |
1280 KB |
Output is correct |
49 |
Correct |
40 ms |
1032 KB |
Output is correct |
50 |
Correct |
23 ms |
812 KB |
Output is correct |
51 |
Correct |
4 ms |
468 KB |
Output is correct |
52 |
Correct |
59 ms |
1516 KB |
Output is correct |
53 |
Correct |
36 ms |
1100 KB |
Output is correct |
54 |
Correct |
52 ms |
1344 KB |
Output is correct |
55 |
Correct |
105 ms |
2116 KB |
Output is correct |
56 |
Correct |
46 ms |
1340 KB |
Output is correct |
57 |
Correct |
111 ms |
2308 KB |
Output is correct |
58 |
Correct |
59 ms |
1400 KB |
Output is correct |
59 |
Correct |
70 ms |
1572 KB |
Output is correct |
60 |
Correct |
10 ms |
792 KB |
Output is correct |
61 |
Correct |
82 ms |
1736 KB |
Output is correct |
62 |
Correct |
80 ms |
1924 KB |
Output is correct |
63 |
Correct |
104 ms |
2020 KB |
Output is correct |
64 |
Correct |
85 ms |
2012 KB |
Output is correct |
65 |
Correct |
38 ms |
816 KB |
Output is correct |
66 |
Correct |
41 ms |
912 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
304 KB |
Output is correct |
3 |
Correct |
1 ms |
304 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
304 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
296 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
304 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
304 KB |
Output is correct |
17 |
Correct |
1 ms |
296 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
300 KB |
Output is correct |
23 |
Correct |
1 ms |
300 KB |
Output is correct |
24 |
Correct |
3 ms |
340 KB |
Output is correct |
25 |
Correct |
3 ms |
432 KB |
Output is correct |
26 |
Correct |
3 ms |
340 KB |
Output is correct |
27 |
Correct |
3 ms |
424 KB |
Output is correct |
28 |
Correct |
3 ms |
340 KB |
Output is correct |
29 |
Correct |
3 ms |
428 KB |
Output is correct |
30 |
Correct |
2 ms |
340 KB |
Output is correct |
31 |
Correct |
3 ms |
340 KB |
Output is correct |
32 |
Correct |
2 ms |
340 KB |
Output is correct |
33 |
Correct |
3 ms |
340 KB |
Output is correct |
34 |
Correct |
3 ms |
296 KB |
Output is correct |
35 |
Correct |
5 ms |
340 KB |
Output is correct |
36 |
Correct |
2 ms |
340 KB |
Output is correct |
37 |
Correct |
11 ms |
688 KB |
Output is correct |
38 |
Correct |
11 ms |
688 KB |
Output is correct |
39 |
Correct |
40 ms |
1020 KB |
Output is correct |
40 |
Correct |
25 ms |
820 KB |
Output is correct |
41 |
Correct |
56 ms |
1148 KB |
Output is correct |
42 |
Correct |
21 ms |
800 KB |
Output is correct |
43 |
Correct |
36 ms |
1212 KB |
Output is correct |
44 |
Correct |
43 ms |
1316 KB |
Output is correct |
45 |
Correct |
43 ms |
1220 KB |
Output is correct |
46 |
Correct |
23 ms |
684 KB |
Output is correct |
47 |
Correct |
23 ms |
800 KB |
Output is correct |
48 |
Correct |
42 ms |
1280 KB |
Output is correct |
49 |
Correct |
40 ms |
1032 KB |
Output is correct |
50 |
Correct |
23 ms |
812 KB |
Output is correct |
51 |
Correct |
4 ms |
468 KB |
Output is correct |
52 |
Correct |
59 ms |
1516 KB |
Output is correct |
53 |
Correct |
36 ms |
1100 KB |
Output is correct |
54 |
Correct |
52 ms |
1344 KB |
Output is correct |
55 |
Correct |
105 ms |
2116 KB |
Output is correct |
56 |
Correct |
46 ms |
1340 KB |
Output is correct |
57 |
Correct |
111 ms |
2308 KB |
Output is correct |
58 |
Correct |
59 ms |
1400 KB |
Output is correct |
59 |
Correct |
70 ms |
1572 KB |
Output is correct |
60 |
Correct |
10 ms |
792 KB |
Output is correct |
61 |
Correct |
82 ms |
1736 KB |
Output is correct |
62 |
Correct |
80 ms |
1924 KB |
Output is correct |
63 |
Correct |
104 ms |
2020 KB |
Output is correct |
64 |
Correct |
85 ms |
2012 KB |
Output is correct |
65 |
Correct |
38 ms |
816 KB |
Output is correct |
66 |
Correct |
41 ms |
912 KB |
Output is correct |
67 |
Correct |
84 ms |
1744 KB |
Output is correct |
68 |
Correct |
28 ms |
1268 KB |
Output is correct |
69 |
Correct |
319 ms |
3924 KB |
Output is correct |
70 |
Correct |
177 ms |
2460 KB |
Output is correct |
71 |
Correct |
168 ms |
2388 KB |
Output is correct |
72 |
Correct |
164 ms |
1668 KB |
Output is correct |
73 |
Correct |
193 ms |
1760 KB |
Output is correct |
74 |
Correct |
297 ms |
4100 KB |
Output is correct |
75 |
Correct |
227 ms |
3324 KB |
Output is correct |
76 |
Correct |
343 ms |
4312 KB |
Output is correct |
77 |
Correct |
341 ms |
4320 KB |
Output is correct |