#include <bits/stdc++.h>
using namespace std;
const int mod = 1e9 + 9;
void addSelf(int &x, int y) {
x += y;
if (x >= mod) {
x -= mod;
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
vector<int> a(n);
for (int &x : a) {
cin >> x;
}
int sum = accumulate(a.begin(), a.end(), 0);
vector<int> dp(sum + 1);
dp[0] = 1;
for (const int &x : a) {
for (int i = sum; i >= x; --i) {
addSelf(dp[i], dp[i - x]);
}
}
if (sum % 2 == 1 || dp[sum / 2] == 0) {
cout << "0\n";
return 0;
}
vector<bool> wt(sum + 1, true);
vector<int> newDp(sum + 1);
for (const int &x : a) {
newDp = dp;
for (int i = x; i <= sum; ++i) {
addSelf(newDp[i], mod - newDp[i - x]);
}
for (int i = 1; i <= sum; ++i) {
int newSum = sum - x + i;
if (newSum % 2 == 1 || newDp[newSum / 2] == 0) {
wt[i] = false;
}
}
}
cout << count(wt.begin() + 1, wt.end(), true) << '\n';
for (int i = 1; i <= sum; ++i) {
if (wt[i]) {
cout << i << ' ';
}
}
cout << '\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 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 |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 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 |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 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 |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 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 |
2 ms |
340 KB |
Output is correct |
22 |
Correct |
2 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
2 ms |
340 KB |
Output is correct |
25 |
Correct |
4 ms |
340 KB |
Output is correct |
26 |
Correct |
6 ms |
340 KB |
Output is correct |
27 |
Correct |
5 ms |
340 KB |
Output is correct |
28 |
Correct |
5 ms |
340 KB |
Output is correct |
29 |
Correct |
7 ms |
340 KB |
Output is correct |
30 |
Correct |
3 ms |
340 KB |
Output is correct |
31 |
Correct |
4 ms |
340 KB |
Output is correct |
32 |
Correct |
3 ms |
340 KB |
Output is correct |
33 |
Correct |
6 ms |
340 KB |
Output is correct |
34 |
Correct |
6 ms |
340 KB |
Output is correct |
35 |
Correct |
5 ms |
340 KB |
Output is correct |
36 |
Correct |
3 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 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 |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 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 |
2 ms |
340 KB |
Output is correct |
22 |
Correct |
2 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
2 ms |
340 KB |
Output is correct |
25 |
Correct |
4 ms |
340 KB |
Output is correct |
26 |
Correct |
6 ms |
340 KB |
Output is correct |
27 |
Correct |
5 ms |
340 KB |
Output is correct |
28 |
Correct |
5 ms |
340 KB |
Output is correct |
29 |
Correct |
7 ms |
340 KB |
Output is correct |
30 |
Correct |
3 ms |
340 KB |
Output is correct |
31 |
Correct |
4 ms |
340 KB |
Output is correct |
32 |
Correct |
3 ms |
340 KB |
Output is correct |
33 |
Correct |
6 ms |
340 KB |
Output is correct |
34 |
Correct |
6 ms |
340 KB |
Output is correct |
35 |
Correct |
5 ms |
340 KB |
Output is correct |
36 |
Correct |
3 ms |
340 KB |
Output is correct |
37 |
Correct |
18 ms |
472 KB |
Output is correct |
38 |
Correct |
19 ms |
476 KB |
Output is correct |
39 |
Correct |
86 ms |
804 KB |
Output is correct |
40 |
Correct |
41 ms |
572 KB |
Output is correct |
41 |
Correct |
112 ms |
900 KB |
Output is correct |
42 |
Correct |
37 ms |
588 KB |
Output is correct |
43 |
Correct |
64 ms |
896 KB |
Output is correct |
44 |
Correct |
67 ms |
888 KB |
Output is correct |
45 |
Correct |
67 ms |
892 KB |
Output is correct |
46 |
Correct |
43 ms |
468 KB |
Output is correct |
47 |
Correct |
38 ms |
568 KB |
Output is correct |
48 |
Correct |
75 ms |
796 KB |
Output is correct |
49 |
Correct |
81 ms |
828 KB |
Output is correct |
50 |
Correct |
39 ms |
568 KB |
Output is correct |
51 |
Correct |
11 ms |
440 KB |
Output is correct |
52 |
Correct |
89 ms |
980 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 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 |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 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 |
2 ms |
340 KB |
Output is correct |
22 |
Correct |
2 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
2 ms |
340 KB |
Output is correct |
25 |
Correct |
4 ms |
340 KB |
Output is correct |
26 |
Correct |
6 ms |
340 KB |
Output is correct |
27 |
Correct |
5 ms |
340 KB |
Output is correct |
28 |
Correct |
5 ms |
340 KB |
Output is correct |
29 |
Correct |
7 ms |
340 KB |
Output is correct |
30 |
Correct |
3 ms |
340 KB |
Output is correct |
31 |
Correct |
4 ms |
340 KB |
Output is correct |
32 |
Correct |
3 ms |
340 KB |
Output is correct |
33 |
Correct |
6 ms |
340 KB |
Output is correct |
34 |
Correct |
6 ms |
340 KB |
Output is correct |
35 |
Correct |
5 ms |
340 KB |
Output is correct |
36 |
Correct |
3 ms |
340 KB |
Output is correct |
37 |
Correct |
18 ms |
472 KB |
Output is correct |
38 |
Correct |
19 ms |
476 KB |
Output is correct |
39 |
Correct |
86 ms |
804 KB |
Output is correct |
40 |
Correct |
41 ms |
572 KB |
Output is correct |
41 |
Correct |
112 ms |
900 KB |
Output is correct |
42 |
Correct |
37 ms |
588 KB |
Output is correct |
43 |
Correct |
64 ms |
896 KB |
Output is correct |
44 |
Correct |
67 ms |
888 KB |
Output is correct |
45 |
Correct |
67 ms |
892 KB |
Output is correct |
46 |
Correct |
43 ms |
468 KB |
Output is correct |
47 |
Correct |
38 ms |
568 KB |
Output is correct |
48 |
Correct |
75 ms |
796 KB |
Output is correct |
49 |
Correct |
81 ms |
828 KB |
Output is correct |
50 |
Correct |
39 ms |
568 KB |
Output is correct |
51 |
Correct |
11 ms |
440 KB |
Output is correct |
52 |
Correct |
89 ms |
980 KB |
Output is correct |
53 |
Correct |
65 ms |
692 KB |
Output is correct |
54 |
Correct |
90 ms |
844 KB |
Output is correct |
55 |
Correct |
184 ms |
1452 KB |
Output is correct |
56 |
Correct |
79 ms |
792 KB |
Output is correct |
57 |
Correct |
193 ms |
1536 KB |
Output is correct |
58 |
Correct |
119 ms |
932 KB |
Output is correct |
59 |
Incorrect |
135 ms |
1048 KB |
Output isn't correct |
60 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 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 |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 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 |
2 ms |
340 KB |
Output is correct |
22 |
Correct |
2 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
2 ms |
340 KB |
Output is correct |
25 |
Correct |
4 ms |
340 KB |
Output is correct |
26 |
Correct |
6 ms |
340 KB |
Output is correct |
27 |
Correct |
5 ms |
340 KB |
Output is correct |
28 |
Correct |
5 ms |
340 KB |
Output is correct |
29 |
Correct |
7 ms |
340 KB |
Output is correct |
30 |
Correct |
3 ms |
340 KB |
Output is correct |
31 |
Correct |
4 ms |
340 KB |
Output is correct |
32 |
Correct |
3 ms |
340 KB |
Output is correct |
33 |
Correct |
6 ms |
340 KB |
Output is correct |
34 |
Correct |
6 ms |
340 KB |
Output is correct |
35 |
Correct |
5 ms |
340 KB |
Output is correct |
36 |
Correct |
3 ms |
340 KB |
Output is correct |
37 |
Correct |
18 ms |
472 KB |
Output is correct |
38 |
Correct |
19 ms |
476 KB |
Output is correct |
39 |
Correct |
86 ms |
804 KB |
Output is correct |
40 |
Correct |
41 ms |
572 KB |
Output is correct |
41 |
Correct |
112 ms |
900 KB |
Output is correct |
42 |
Correct |
37 ms |
588 KB |
Output is correct |
43 |
Correct |
64 ms |
896 KB |
Output is correct |
44 |
Correct |
67 ms |
888 KB |
Output is correct |
45 |
Correct |
67 ms |
892 KB |
Output is correct |
46 |
Correct |
43 ms |
468 KB |
Output is correct |
47 |
Correct |
38 ms |
568 KB |
Output is correct |
48 |
Correct |
75 ms |
796 KB |
Output is correct |
49 |
Correct |
81 ms |
828 KB |
Output is correct |
50 |
Correct |
39 ms |
568 KB |
Output is correct |
51 |
Correct |
11 ms |
440 KB |
Output is correct |
52 |
Correct |
89 ms |
980 KB |
Output is correct |
53 |
Correct |
65 ms |
692 KB |
Output is correct |
54 |
Correct |
90 ms |
844 KB |
Output is correct |
55 |
Correct |
184 ms |
1452 KB |
Output is correct |
56 |
Correct |
79 ms |
792 KB |
Output is correct |
57 |
Correct |
193 ms |
1536 KB |
Output is correct |
58 |
Correct |
119 ms |
932 KB |
Output is correct |
59 |
Incorrect |
135 ms |
1048 KB |
Output isn't correct |
60 |
Halted |
0 ms |
0 KB |
- |