#include <bits/stdc++.h>
using namespace std;
const int N = 505;
const int MAX = N * N;
const int md = 1e9 + 123;
int n, a[N];
int sum;
int dp[MAX]; // knapsack
int tmp[MAX]; // for solve(pos)
int check[MAX];
void solve(int pos) {
for (int i = 0; i <= sum; ++i) tmp[i] = dp[i];
for (int i = 0; i <= sum; ++i) {
// we do not use a[pos]
if (i >= a[pos]) {
tmp[i] -= tmp[i - a[pos]];
if (tmp[i] < 0) tmp[i] += md;
}
}
for (int i = 0; i <= sum; ++i) {
if (tmp[i] != 0 && a[pos] + 2 * i - sum >= 0)
check[a[pos] + 2 * i - sum]++;
}
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(0);
cin >> n;
for (int i = 1; i <= n; ++i) cin >> a[i];
// prepare KNAPSACK
dp[0] = 1;
for (int i = 1; i <= n; ++i) {
sum += a[i];
for (int j = sum; j >= a[i]; --j) {
dp[j] += dp[j - a[i]];
dp[j] %= md;
}
}
if ((sum & 1) || (dp[sum / 2] == 0)) return printf("0\n"), 0; // invalid
for (int i = 1; i <= n; ++i) solve(i);
int cnt = 0;
for (int i = 1; i <= sum; ++i) if (check[i] == n) ++cnt;
printf("%d\n", cnt);
for (int i = 1; i <= sum; ++i) if (check[i] == n) printf("%d ", i); printf("\n");
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
5164 KB |
Output is correct |
2 |
Correct |
0 ms |
5164 KB |
Output is correct |
3 |
Correct |
0 ms |
5164 KB |
Output is correct |
4 |
Correct |
0 ms |
5164 KB |
Output is correct |
5 |
Correct |
0 ms |
5164 KB |
Output is correct |
6 |
Correct |
0 ms |
5164 KB |
Output is correct |
7 |
Correct |
0 ms |
5164 KB |
Output is correct |
8 |
Correct |
0 ms |
5164 KB |
Output is correct |
9 |
Correct |
0 ms |
5164 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
5164 KB |
Output is correct |
2 |
Correct |
0 ms |
5164 KB |
Output is correct |
3 |
Correct |
0 ms |
5164 KB |
Output is correct |
4 |
Correct |
0 ms |
5164 KB |
Output is correct |
5 |
Correct |
0 ms |
5164 KB |
Output is correct |
6 |
Correct |
0 ms |
5164 KB |
Output is correct |
7 |
Correct |
0 ms |
5164 KB |
Output is correct |
8 |
Correct |
0 ms |
5164 KB |
Output is correct |
9 |
Correct |
0 ms |
5164 KB |
Output is correct |
10 |
Correct |
0 ms |
5164 KB |
Output is correct |
11 |
Correct |
0 ms |
5164 KB |
Output is correct |
12 |
Correct |
0 ms |
5164 KB |
Output is correct |
13 |
Correct |
0 ms |
5164 KB |
Output is correct |
14 |
Correct |
0 ms |
5164 KB |
Output is correct |
15 |
Correct |
0 ms |
5164 KB |
Output is correct |
16 |
Correct |
0 ms |
5164 KB |
Output is correct |
17 |
Correct |
0 ms |
5164 KB |
Output is correct |
18 |
Correct |
0 ms |
5164 KB |
Output is correct |
19 |
Correct |
0 ms |
5164 KB |
Output is correct |
20 |
Correct |
0 ms |
5164 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
5164 KB |
Output is correct |
2 |
Correct |
0 ms |
5164 KB |
Output is correct |
3 |
Correct |
0 ms |
5164 KB |
Output is correct |
4 |
Correct |
0 ms |
5164 KB |
Output is correct |
5 |
Correct |
0 ms |
5164 KB |
Output is correct |
6 |
Correct |
0 ms |
5164 KB |
Output is correct |
7 |
Correct |
0 ms |
5164 KB |
Output is correct |
8 |
Correct |
0 ms |
5164 KB |
Output is correct |
9 |
Correct |
0 ms |
5164 KB |
Output is correct |
10 |
Correct |
0 ms |
5164 KB |
Output is correct |
11 |
Correct |
0 ms |
5164 KB |
Output is correct |
12 |
Correct |
0 ms |
5164 KB |
Output is correct |
13 |
Correct |
0 ms |
5164 KB |
Output is correct |
14 |
Correct |
0 ms |
5164 KB |
Output is correct |
15 |
Correct |
0 ms |
5164 KB |
Output is correct |
16 |
Correct |
0 ms |
5164 KB |
Output is correct |
17 |
Correct |
0 ms |
5164 KB |
Output is correct |
18 |
Correct |
0 ms |
5164 KB |
Output is correct |
19 |
Correct |
0 ms |
5164 KB |
Output is correct |
20 |
Correct |
0 ms |
5164 KB |
Output is correct |
21 |
Correct |
0 ms |
5164 KB |
Output is correct |
22 |
Correct |
3 ms |
5164 KB |
Output is correct |
23 |
Correct |
0 ms |
5164 KB |
Output is correct |
24 |
Correct |
3 ms |
5164 KB |
Output is correct |
25 |
Correct |
6 ms |
5164 KB |
Output is correct |
26 |
Correct |
6 ms |
5164 KB |
Output is correct |
27 |
Correct |
3 ms |
5164 KB |
Output is correct |
28 |
Correct |
6 ms |
5164 KB |
Output is correct |
29 |
Correct |
6 ms |
5164 KB |
Output is correct |
30 |
Correct |
3 ms |
5164 KB |
Output is correct |
31 |
Correct |
6 ms |
5164 KB |
Output is correct |
32 |
Correct |
3 ms |
5164 KB |
Output is correct |
33 |
Correct |
3 ms |
5164 KB |
Output is correct |
34 |
Correct |
3 ms |
5164 KB |
Output is correct |
35 |
Correct |
6 ms |
5164 KB |
Output is correct |
36 |
Correct |
3 ms |
5164 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
5164 KB |
Output is correct |
2 |
Correct |
0 ms |
5164 KB |
Output is correct |
3 |
Correct |
0 ms |
5164 KB |
Output is correct |
4 |
Correct |
0 ms |
5164 KB |
Output is correct |
5 |
Correct |
0 ms |
5164 KB |
Output is correct |
6 |
Correct |
0 ms |
5164 KB |
Output is correct |
7 |
Correct |
0 ms |
5164 KB |
Output is correct |
8 |
Correct |
0 ms |
5164 KB |
Output is correct |
9 |
Correct |
0 ms |
5164 KB |
Output is correct |
10 |
Correct |
0 ms |
5164 KB |
Output is correct |
11 |
Correct |
0 ms |
5164 KB |
Output is correct |
12 |
Correct |
0 ms |
5164 KB |
Output is correct |
13 |
Correct |
0 ms |
5164 KB |
Output is correct |
14 |
Correct |
0 ms |
5164 KB |
Output is correct |
15 |
Correct |
0 ms |
5164 KB |
Output is correct |
16 |
Correct |
0 ms |
5164 KB |
Output is correct |
17 |
Correct |
0 ms |
5164 KB |
Output is correct |
18 |
Correct |
0 ms |
5164 KB |
Output is correct |
19 |
Correct |
0 ms |
5164 KB |
Output is correct |
20 |
Correct |
0 ms |
5164 KB |
Output is correct |
21 |
Correct |
0 ms |
5164 KB |
Output is correct |
22 |
Correct |
3 ms |
5164 KB |
Output is correct |
23 |
Correct |
0 ms |
5164 KB |
Output is correct |
24 |
Correct |
3 ms |
5164 KB |
Output is correct |
25 |
Correct |
6 ms |
5164 KB |
Output is correct |
26 |
Correct |
6 ms |
5164 KB |
Output is correct |
27 |
Correct |
3 ms |
5164 KB |
Output is correct |
28 |
Correct |
6 ms |
5164 KB |
Output is correct |
29 |
Correct |
6 ms |
5164 KB |
Output is correct |
30 |
Correct |
3 ms |
5164 KB |
Output is correct |
31 |
Correct |
6 ms |
5164 KB |
Output is correct |
32 |
Correct |
3 ms |
5164 KB |
Output is correct |
33 |
Correct |
3 ms |
5164 KB |
Output is correct |
34 |
Correct |
3 ms |
5164 KB |
Output is correct |
35 |
Correct |
6 ms |
5164 KB |
Output is correct |
36 |
Correct |
3 ms |
5164 KB |
Output is correct |
37 |
Correct |
39 ms |
5164 KB |
Output is correct |
38 |
Correct |
39 ms |
5164 KB |
Output is correct |
39 |
Correct |
73 ms |
5164 KB |
Output is correct |
40 |
Correct |
86 ms |
5164 KB |
Output is correct |
41 |
Correct |
93 ms |
5164 KB |
Output is correct |
42 |
Correct |
86 ms |
5164 KB |
Output is correct |
43 |
Correct |
143 ms |
5164 KB |
Output is correct |
44 |
Correct |
146 ms |
5164 KB |
Output is correct |
45 |
Correct |
149 ms |
5164 KB |
Output is correct |
46 |
Correct |
59 ms |
5164 KB |
Output is correct |
47 |
Correct |
79 ms |
5164 KB |
Output is correct |
48 |
Correct |
143 ms |
5164 KB |
Output is correct |
49 |
Correct |
113 ms |
5164 KB |
Output is correct |
50 |
Correct |
86 ms |
5164 KB |
Output is correct |
51 |
Correct |
9 ms |
5164 KB |
Output is correct |
52 |
Correct |
189 ms |
5164 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
5164 KB |
Output is correct |
2 |
Correct |
0 ms |
5164 KB |
Output is correct |
3 |
Correct |
0 ms |
5164 KB |
Output is correct |
4 |
Correct |
0 ms |
5164 KB |
Output is correct |
5 |
Correct |
0 ms |
5164 KB |
Output is correct |
6 |
Correct |
0 ms |
5164 KB |
Output is correct |
7 |
Correct |
0 ms |
5164 KB |
Output is correct |
8 |
Correct |
0 ms |
5164 KB |
Output is correct |
9 |
Correct |
0 ms |
5164 KB |
Output is correct |
10 |
Correct |
0 ms |
5164 KB |
Output is correct |
11 |
Correct |
0 ms |
5164 KB |
Output is correct |
12 |
Correct |
0 ms |
5164 KB |
Output is correct |
13 |
Correct |
0 ms |
5164 KB |
Output is correct |
14 |
Correct |
0 ms |
5164 KB |
Output is correct |
15 |
Correct |
0 ms |
5164 KB |
Output is correct |
16 |
Correct |
0 ms |
5164 KB |
Output is correct |
17 |
Correct |
0 ms |
5164 KB |
Output is correct |
18 |
Correct |
0 ms |
5164 KB |
Output is correct |
19 |
Correct |
0 ms |
5164 KB |
Output is correct |
20 |
Correct |
0 ms |
5164 KB |
Output is correct |
21 |
Correct |
0 ms |
5164 KB |
Output is correct |
22 |
Correct |
3 ms |
5164 KB |
Output is correct |
23 |
Correct |
0 ms |
5164 KB |
Output is correct |
24 |
Correct |
3 ms |
5164 KB |
Output is correct |
25 |
Correct |
6 ms |
5164 KB |
Output is correct |
26 |
Correct |
6 ms |
5164 KB |
Output is correct |
27 |
Correct |
3 ms |
5164 KB |
Output is correct |
28 |
Correct |
6 ms |
5164 KB |
Output is correct |
29 |
Correct |
6 ms |
5164 KB |
Output is correct |
30 |
Correct |
3 ms |
5164 KB |
Output is correct |
31 |
Correct |
6 ms |
5164 KB |
Output is correct |
32 |
Correct |
3 ms |
5164 KB |
Output is correct |
33 |
Correct |
3 ms |
5164 KB |
Output is correct |
34 |
Correct |
3 ms |
5164 KB |
Output is correct |
35 |
Correct |
6 ms |
5164 KB |
Output is correct |
36 |
Correct |
3 ms |
5164 KB |
Output is correct |
37 |
Correct |
39 ms |
5164 KB |
Output is correct |
38 |
Correct |
39 ms |
5164 KB |
Output is correct |
39 |
Correct |
73 ms |
5164 KB |
Output is correct |
40 |
Correct |
86 ms |
5164 KB |
Output is correct |
41 |
Correct |
93 ms |
5164 KB |
Output is correct |
42 |
Correct |
86 ms |
5164 KB |
Output is correct |
43 |
Correct |
143 ms |
5164 KB |
Output is correct |
44 |
Correct |
146 ms |
5164 KB |
Output is correct |
45 |
Correct |
149 ms |
5164 KB |
Output is correct |
46 |
Correct |
59 ms |
5164 KB |
Output is correct |
47 |
Correct |
79 ms |
5164 KB |
Output is correct |
48 |
Correct |
143 ms |
5164 KB |
Output is correct |
49 |
Correct |
113 ms |
5164 KB |
Output is correct |
50 |
Correct |
86 ms |
5164 KB |
Output is correct |
51 |
Correct |
9 ms |
5164 KB |
Output is correct |
52 |
Correct |
189 ms |
5164 KB |
Output is correct |
53 |
Correct |
136 ms |
5164 KB |
Output is correct |
54 |
Correct |
209 ms |
5164 KB |
Output is correct |
55 |
Correct |
386 ms |
5164 KB |
Output is correct |
56 |
Correct |
166 ms |
5164 KB |
Output is correct |
57 |
Correct |
419 ms |
5164 KB |
Output is correct |
58 |
Correct |
226 ms |
5164 KB |
Output is correct |
59 |
Correct |
309 ms |
5164 KB |
Output is correct |
60 |
Correct |
29 ms |
5164 KB |
Output is correct |
61 |
Correct |
306 ms |
5164 KB |
Output is correct |
62 |
Correct |
316 ms |
5164 KB |
Output is correct |
63 |
Correct |
329 ms |
5164 KB |
Output is correct |
64 |
Correct |
339 ms |
5164 KB |
Output is correct |
65 |
Correct |
83 ms |
5164 KB |
Output is correct |
66 |
Correct |
86 ms |
5164 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
5164 KB |
Output is correct |
2 |
Correct |
0 ms |
5164 KB |
Output is correct |
3 |
Correct |
0 ms |
5164 KB |
Output is correct |
4 |
Correct |
0 ms |
5164 KB |
Output is correct |
5 |
Correct |
0 ms |
5164 KB |
Output is correct |
6 |
Correct |
0 ms |
5164 KB |
Output is correct |
7 |
Correct |
0 ms |
5164 KB |
Output is correct |
8 |
Correct |
0 ms |
5164 KB |
Output is correct |
9 |
Correct |
0 ms |
5164 KB |
Output is correct |
10 |
Correct |
0 ms |
5164 KB |
Output is correct |
11 |
Correct |
0 ms |
5164 KB |
Output is correct |
12 |
Correct |
0 ms |
5164 KB |
Output is correct |
13 |
Correct |
0 ms |
5164 KB |
Output is correct |
14 |
Correct |
0 ms |
5164 KB |
Output is correct |
15 |
Correct |
0 ms |
5164 KB |
Output is correct |
16 |
Correct |
0 ms |
5164 KB |
Output is correct |
17 |
Correct |
0 ms |
5164 KB |
Output is correct |
18 |
Correct |
0 ms |
5164 KB |
Output is correct |
19 |
Correct |
0 ms |
5164 KB |
Output is correct |
20 |
Correct |
0 ms |
5164 KB |
Output is correct |
21 |
Correct |
0 ms |
5164 KB |
Output is correct |
22 |
Correct |
3 ms |
5164 KB |
Output is correct |
23 |
Correct |
0 ms |
5164 KB |
Output is correct |
24 |
Correct |
3 ms |
5164 KB |
Output is correct |
25 |
Correct |
6 ms |
5164 KB |
Output is correct |
26 |
Correct |
6 ms |
5164 KB |
Output is correct |
27 |
Correct |
3 ms |
5164 KB |
Output is correct |
28 |
Correct |
6 ms |
5164 KB |
Output is correct |
29 |
Correct |
6 ms |
5164 KB |
Output is correct |
30 |
Correct |
3 ms |
5164 KB |
Output is correct |
31 |
Correct |
6 ms |
5164 KB |
Output is correct |
32 |
Correct |
3 ms |
5164 KB |
Output is correct |
33 |
Correct |
3 ms |
5164 KB |
Output is correct |
34 |
Correct |
3 ms |
5164 KB |
Output is correct |
35 |
Correct |
6 ms |
5164 KB |
Output is correct |
36 |
Correct |
3 ms |
5164 KB |
Output is correct |
37 |
Correct |
39 ms |
5164 KB |
Output is correct |
38 |
Correct |
39 ms |
5164 KB |
Output is correct |
39 |
Correct |
73 ms |
5164 KB |
Output is correct |
40 |
Correct |
86 ms |
5164 KB |
Output is correct |
41 |
Correct |
93 ms |
5164 KB |
Output is correct |
42 |
Correct |
86 ms |
5164 KB |
Output is correct |
43 |
Correct |
143 ms |
5164 KB |
Output is correct |
44 |
Correct |
146 ms |
5164 KB |
Output is correct |
45 |
Correct |
149 ms |
5164 KB |
Output is correct |
46 |
Correct |
59 ms |
5164 KB |
Output is correct |
47 |
Correct |
79 ms |
5164 KB |
Output is correct |
48 |
Correct |
143 ms |
5164 KB |
Output is correct |
49 |
Correct |
113 ms |
5164 KB |
Output is correct |
50 |
Correct |
86 ms |
5164 KB |
Output is correct |
51 |
Correct |
9 ms |
5164 KB |
Output is correct |
52 |
Correct |
189 ms |
5164 KB |
Output is correct |
53 |
Correct |
136 ms |
5164 KB |
Output is correct |
54 |
Correct |
209 ms |
5164 KB |
Output is correct |
55 |
Correct |
386 ms |
5164 KB |
Output is correct |
56 |
Correct |
166 ms |
5164 KB |
Output is correct |
57 |
Correct |
419 ms |
5164 KB |
Output is correct |
58 |
Correct |
226 ms |
5164 KB |
Output is correct |
59 |
Correct |
309 ms |
5164 KB |
Output is correct |
60 |
Correct |
29 ms |
5164 KB |
Output is correct |
61 |
Correct |
306 ms |
5164 KB |
Output is correct |
62 |
Correct |
316 ms |
5164 KB |
Output is correct |
63 |
Correct |
329 ms |
5164 KB |
Output is correct |
64 |
Correct |
339 ms |
5164 KB |
Output is correct |
65 |
Correct |
83 ms |
5164 KB |
Output is correct |
66 |
Correct |
86 ms |
5164 KB |
Output is correct |
67 |
Correct |
326 ms |
5164 KB |
Output is correct |
68 |
Correct |
79 ms |
5164 KB |
Output is correct |
69 |
Execution timed out |
1000 ms |
5164 KB |
Execution timed out |
70 |
Halted |
0 ms |
0 KB |
- |