#include <bits/stdc++.h>
using namespace std;
const int mod = 1e9 + 7;
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 |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 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 |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 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 |
1 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 |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
0 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 |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 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 |
1 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 |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
0 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 |
3 ms |
340 KB |
Output is correct |
25 |
Correct |
5 ms |
384 KB |
Output is correct |
26 |
Correct |
5 ms |
340 KB |
Output is correct |
27 |
Correct |
5 ms |
340 KB |
Output is correct |
28 |
Correct |
5 ms |
392 KB |
Output is correct |
29 |
Correct |
5 ms |
340 KB |
Output is correct |
30 |
Correct |
4 ms |
280 KB |
Output is correct |
31 |
Correct |
4 ms |
340 KB |
Output is correct |
32 |
Correct |
3 ms |
356 KB |
Output is correct |
33 |
Correct |
6 ms |
340 KB |
Output is correct |
34 |
Correct |
7 ms |
392 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 |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 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 |
1 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 |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
0 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 |
3 ms |
340 KB |
Output is correct |
25 |
Correct |
5 ms |
384 KB |
Output is correct |
26 |
Correct |
5 ms |
340 KB |
Output is correct |
27 |
Correct |
5 ms |
340 KB |
Output is correct |
28 |
Correct |
5 ms |
392 KB |
Output is correct |
29 |
Correct |
5 ms |
340 KB |
Output is correct |
30 |
Correct |
4 ms |
280 KB |
Output is correct |
31 |
Correct |
4 ms |
340 KB |
Output is correct |
32 |
Correct |
3 ms |
356 KB |
Output is correct |
33 |
Correct |
6 ms |
340 KB |
Output is correct |
34 |
Correct |
7 ms |
392 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 |
468 KB |
Output is correct |
38 |
Correct |
19 ms |
468 KB |
Output is correct |
39 |
Correct |
88 ms |
804 KB |
Output is correct |
40 |
Correct |
41 ms |
568 KB |
Output is correct |
41 |
Correct |
113 ms |
900 KB |
Output is correct |
42 |
Correct |
36 ms |
588 KB |
Output is correct |
43 |
Correct |
64 ms |
884 KB |
Output is correct |
44 |
Correct |
66 ms |
792 KB |
Output is correct |
45 |
Correct |
68 ms |
888 KB |
Output is correct |
46 |
Correct |
42 ms |
440 KB |
Output is correct |
47 |
Correct |
39 ms |
568 KB |
Output is correct |
48 |
Correct |
76 ms |
800 KB |
Output is correct |
49 |
Correct |
78 ms |
804 KB |
Output is correct |
50 |
Correct |
40 ms |
572 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 |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 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 |
1 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 |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
0 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 |
3 ms |
340 KB |
Output is correct |
25 |
Correct |
5 ms |
384 KB |
Output is correct |
26 |
Correct |
5 ms |
340 KB |
Output is correct |
27 |
Correct |
5 ms |
340 KB |
Output is correct |
28 |
Correct |
5 ms |
392 KB |
Output is correct |
29 |
Correct |
5 ms |
340 KB |
Output is correct |
30 |
Correct |
4 ms |
280 KB |
Output is correct |
31 |
Correct |
4 ms |
340 KB |
Output is correct |
32 |
Correct |
3 ms |
356 KB |
Output is correct |
33 |
Correct |
6 ms |
340 KB |
Output is correct |
34 |
Correct |
7 ms |
392 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 |
468 KB |
Output is correct |
38 |
Correct |
19 ms |
468 KB |
Output is correct |
39 |
Correct |
88 ms |
804 KB |
Output is correct |
40 |
Correct |
41 ms |
568 KB |
Output is correct |
41 |
Correct |
113 ms |
900 KB |
Output is correct |
42 |
Correct |
36 ms |
588 KB |
Output is correct |
43 |
Correct |
64 ms |
884 KB |
Output is correct |
44 |
Correct |
66 ms |
792 KB |
Output is correct |
45 |
Correct |
68 ms |
888 KB |
Output is correct |
46 |
Correct |
42 ms |
440 KB |
Output is correct |
47 |
Correct |
39 ms |
568 KB |
Output is correct |
48 |
Correct |
76 ms |
800 KB |
Output is correct |
49 |
Correct |
78 ms |
804 KB |
Output is correct |
50 |
Correct |
40 ms |
572 KB |
Output is correct |
51 |
Correct |
11 ms |
440 KB |
Output is correct |
52 |
Correct |
89 ms |
980 KB |
Output is correct |
53 |
Correct |
64 ms |
808 KB |
Output is correct |
54 |
Correct |
94 ms |
800 KB |
Output is correct |
55 |
Correct |
182 ms |
1452 KB |
Output is correct |
56 |
Correct |
82 ms |
800 KB |
Output is correct |
57 |
Correct |
191 ms |
1500 KB |
Output is correct |
58 |
Correct |
106 ms |
924 KB |
Output is correct |
59 |
Correct |
123 ms |
1132 KB |
Output is correct |
60 |
Correct |
32 ms |
468 KB |
Output is correct |
61 |
Correct |
134 ms |
1160 KB |
Output is correct |
62 |
Correct |
145 ms |
1328 KB |
Output is correct |
63 |
Correct |
183 ms |
1392 KB |
Output is correct |
64 |
Correct |
156 ms |
1348 KB |
Output is correct |
65 |
Correct |
94 ms |
692 KB |
Output is correct |
66 |
Correct |
87 ms |
732 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 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 |
1 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 |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
0 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 |
3 ms |
340 KB |
Output is correct |
25 |
Correct |
5 ms |
384 KB |
Output is correct |
26 |
Correct |
5 ms |
340 KB |
Output is correct |
27 |
Correct |
5 ms |
340 KB |
Output is correct |
28 |
Correct |
5 ms |
392 KB |
Output is correct |
29 |
Correct |
5 ms |
340 KB |
Output is correct |
30 |
Correct |
4 ms |
280 KB |
Output is correct |
31 |
Correct |
4 ms |
340 KB |
Output is correct |
32 |
Correct |
3 ms |
356 KB |
Output is correct |
33 |
Correct |
6 ms |
340 KB |
Output is correct |
34 |
Correct |
7 ms |
392 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 |
468 KB |
Output is correct |
38 |
Correct |
19 ms |
468 KB |
Output is correct |
39 |
Correct |
88 ms |
804 KB |
Output is correct |
40 |
Correct |
41 ms |
568 KB |
Output is correct |
41 |
Correct |
113 ms |
900 KB |
Output is correct |
42 |
Correct |
36 ms |
588 KB |
Output is correct |
43 |
Correct |
64 ms |
884 KB |
Output is correct |
44 |
Correct |
66 ms |
792 KB |
Output is correct |
45 |
Correct |
68 ms |
888 KB |
Output is correct |
46 |
Correct |
42 ms |
440 KB |
Output is correct |
47 |
Correct |
39 ms |
568 KB |
Output is correct |
48 |
Correct |
76 ms |
800 KB |
Output is correct |
49 |
Correct |
78 ms |
804 KB |
Output is correct |
50 |
Correct |
40 ms |
572 KB |
Output is correct |
51 |
Correct |
11 ms |
440 KB |
Output is correct |
52 |
Correct |
89 ms |
980 KB |
Output is correct |
53 |
Correct |
64 ms |
808 KB |
Output is correct |
54 |
Correct |
94 ms |
800 KB |
Output is correct |
55 |
Correct |
182 ms |
1452 KB |
Output is correct |
56 |
Correct |
82 ms |
800 KB |
Output is correct |
57 |
Correct |
191 ms |
1500 KB |
Output is correct |
58 |
Correct |
106 ms |
924 KB |
Output is correct |
59 |
Correct |
123 ms |
1132 KB |
Output is correct |
60 |
Correct |
32 ms |
468 KB |
Output is correct |
61 |
Correct |
134 ms |
1160 KB |
Output is correct |
62 |
Correct |
145 ms |
1328 KB |
Output is correct |
63 |
Correct |
183 ms |
1392 KB |
Output is correct |
64 |
Correct |
156 ms |
1348 KB |
Output is correct |
65 |
Correct |
94 ms |
692 KB |
Output is correct |
66 |
Correct |
87 ms |
732 KB |
Output is correct |
67 |
Correct |
154 ms |
1144 KB |
Output is correct |
68 |
Correct |
84 ms |
736 KB |
Output is correct |
69 |
Correct |
475 ms |
2556 KB |
Output is correct |
70 |
Correct |
287 ms |
1608 KB |
Output is correct |
71 |
Correct |
273 ms |
1692 KB |
Output is correct |
72 |
Correct |
283 ms |
1352 KB |
Output is correct |
73 |
Correct |
277 ms |
1312 KB |
Output is correct |
74 |
Correct |
508 ms |
2764 KB |
Output is correct |
75 |
Correct |
393 ms |
2160 KB |
Output is correct |
76 |
Correct |
577 ms |
2904 KB |
Output is correct |
77 |
Correct |
576 ms |
2840 KB |
Output is correct |