#include <bits/stdc++.h>
#define int long long
#define vt vector
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
#define ff first
#define ss second
#define dbg(x) cerr << #x << " = " << x << '\n'
using namespace std;
using ll = long long;
using pii = pair<int, int>;
using vvi = vt< vt<int> >;
const int N = 1e6 + 5, mod = 1e9 + 7, inf = 1e18 + 7, B = 500, LIM = (1ll << 60);
const double eps = 1e-6;
int dp[250000];
void solve () {
int n;
cin >> n;
vt<int> a(n + 1);
int sum = 0;
for (int i = 1; i <= n; i++) cin >> a[i], sum += a[i];
if (n & 1) cout << "0\n", exit(0);
set<int> ans;
vt<int> used(N, 0);
dp[0] = 1;
for (int i = 1; i <= n; i++) {
for (int w = 500 * 500; w >= a[i]; w--) dp[w] += dp[w - a[i]];
}
for (int i = 1; i <= n; i++) {
for (int w = a[i]; w < 500 * 500; w++) dp[w] -= dp[w - a[i]];
for (int val = 1; val <= sum; val++) {
int s = sum - a[i];
s += val;
if (s & 1) continue;
if (dp[s / 2]) {
used[val]++;
if (used[val] >= n) ans.insert(val);
}
}
for (int w = 500 * 500; w >= a[i]; w--) dp[w] += dp[w - a[i]];
}
cout << sz(ans) << '\n';
for (auto x: ans) cout << x << ' ';
cout << '\n';
}
bool testcases = 0;
signed main() {
cin.tie(0) -> sync_with_stdio(0);
int test = 1;
if (testcases) cin >> test;
for (int cs = 1; cs <= test; cs++) {
solve();
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
10044 KB |
Output is correct |
2 |
Correct |
7 ms |
10060 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
7 ms |
10060 KB |
Output is correct |
5 |
Correct |
11 ms |
10112 KB |
Output is correct |
6 |
Correct |
9 ms |
10060 KB |
Output is correct |
7 |
Correct |
7 ms |
10060 KB |
Output is correct |
8 |
Correct |
11 ms |
10112 KB |
Output is correct |
9 |
Correct |
12 ms |
10060 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
10044 KB |
Output is correct |
2 |
Correct |
7 ms |
10060 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
7 ms |
10060 KB |
Output is correct |
5 |
Correct |
11 ms |
10112 KB |
Output is correct |
6 |
Correct |
9 ms |
10060 KB |
Output is correct |
7 |
Correct |
7 ms |
10060 KB |
Output is correct |
8 |
Correct |
11 ms |
10112 KB |
Output is correct |
9 |
Correct |
12 ms |
10060 KB |
Output is correct |
10 |
Correct |
20 ms |
10060 KB |
Output is correct |
11 |
Correct |
21 ms |
10060 KB |
Output is correct |
12 |
Correct |
20 ms |
10060 KB |
Output is correct |
13 |
Correct |
18 ms |
10060 KB |
Output is correct |
14 |
Correct |
19 ms |
10040 KB |
Output is correct |
15 |
Correct |
20 ms |
10112 KB |
Output is correct |
16 |
Correct |
23 ms |
10060 KB |
Output is correct |
17 |
Correct |
14 ms |
10060 KB |
Output is correct |
18 |
Correct |
17 ms |
10116 KB |
Output is correct |
19 |
Correct |
18 ms |
10060 KB |
Output is correct |
20 |
Correct |
19 ms |
10060 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
10044 KB |
Output is correct |
2 |
Correct |
7 ms |
10060 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
7 ms |
10060 KB |
Output is correct |
5 |
Correct |
11 ms |
10112 KB |
Output is correct |
6 |
Correct |
9 ms |
10060 KB |
Output is correct |
7 |
Correct |
7 ms |
10060 KB |
Output is correct |
8 |
Correct |
11 ms |
10112 KB |
Output is correct |
9 |
Correct |
12 ms |
10060 KB |
Output is correct |
10 |
Correct |
20 ms |
10060 KB |
Output is correct |
11 |
Correct |
21 ms |
10060 KB |
Output is correct |
12 |
Correct |
20 ms |
10060 KB |
Output is correct |
13 |
Correct |
18 ms |
10060 KB |
Output is correct |
14 |
Correct |
19 ms |
10040 KB |
Output is correct |
15 |
Correct |
20 ms |
10112 KB |
Output is correct |
16 |
Correct |
23 ms |
10060 KB |
Output is correct |
17 |
Correct |
14 ms |
10060 KB |
Output is correct |
18 |
Correct |
17 ms |
10116 KB |
Output is correct |
19 |
Correct |
18 ms |
10060 KB |
Output is correct |
20 |
Correct |
19 ms |
10060 KB |
Output is correct |
21 |
Correct |
50 ms |
10092 KB |
Output is correct |
22 |
Correct |
66 ms |
10092 KB |
Output is correct |
23 |
Correct |
32 ms |
10108 KB |
Output is correct |
24 |
Correct |
57 ms |
10100 KB |
Output is correct |
25 |
Correct |
56 ms |
10224 KB |
Output is correct |
26 |
Correct |
83 ms |
10216 KB |
Output is correct |
27 |
Correct |
64 ms |
10092 KB |
Output is correct |
28 |
Correct |
59 ms |
10188 KB |
Output is correct |
29 |
Correct |
57 ms |
10096 KB |
Output is correct |
30 |
Correct |
57 ms |
10060 KB |
Output is correct |
31 |
Correct |
63 ms |
10216 KB |
Output is correct |
32 |
Correct |
58 ms |
10108 KB |
Output is correct |
33 |
Correct |
57 ms |
10092 KB |
Output is correct |
34 |
Correct |
60 ms |
10088 KB |
Output is correct |
35 |
Correct |
61 ms |
10172 KB |
Output is correct |
36 |
Correct |
58 ms |
10104 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
10044 KB |
Output is correct |
2 |
Correct |
7 ms |
10060 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
7 ms |
10060 KB |
Output is correct |
5 |
Correct |
11 ms |
10112 KB |
Output is correct |
6 |
Correct |
9 ms |
10060 KB |
Output is correct |
7 |
Correct |
7 ms |
10060 KB |
Output is correct |
8 |
Correct |
11 ms |
10112 KB |
Output is correct |
9 |
Correct |
12 ms |
10060 KB |
Output is correct |
10 |
Correct |
20 ms |
10060 KB |
Output is correct |
11 |
Correct |
21 ms |
10060 KB |
Output is correct |
12 |
Correct |
20 ms |
10060 KB |
Output is correct |
13 |
Correct |
18 ms |
10060 KB |
Output is correct |
14 |
Correct |
19 ms |
10040 KB |
Output is correct |
15 |
Correct |
20 ms |
10112 KB |
Output is correct |
16 |
Correct |
23 ms |
10060 KB |
Output is correct |
17 |
Correct |
14 ms |
10060 KB |
Output is correct |
18 |
Correct |
17 ms |
10116 KB |
Output is correct |
19 |
Correct |
18 ms |
10060 KB |
Output is correct |
20 |
Correct |
19 ms |
10060 KB |
Output is correct |
21 |
Correct |
50 ms |
10092 KB |
Output is correct |
22 |
Correct |
66 ms |
10092 KB |
Output is correct |
23 |
Correct |
32 ms |
10108 KB |
Output is correct |
24 |
Correct |
57 ms |
10100 KB |
Output is correct |
25 |
Correct |
56 ms |
10224 KB |
Output is correct |
26 |
Correct |
83 ms |
10216 KB |
Output is correct |
27 |
Correct |
64 ms |
10092 KB |
Output is correct |
28 |
Correct |
59 ms |
10188 KB |
Output is correct |
29 |
Correct |
57 ms |
10096 KB |
Output is correct |
30 |
Correct |
57 ms |
10060 KB |
Output is correct |
31 |
Correct |
63 ms |
10216 KB |
Output is correct |
32 |
Correct |
58 ms |
10108 KB |
Output is correct |
33 |
Correct |
57 ms |
10092 KB |
Output is correct |
34 |
Correct |
60 ms |
10088 KB |
Output is correct |
35 |
Correct |
61 ms |
10172 KB |
Output is correct |
36 |
Correct |
58 ms |
10104 KB |
Output is correct |
37 |
Correct |
118 ms |
10476 KB |
Output is correct |
38 |
Correct |
118 ms |
10488 KB |
Output is correct |
39 |
Correct |
184 ms |
10100 KB |
Output is correct |
40 |
Correct |
196 ms |
10868 KB |
Output is correct |
41 |
Correct |
192 ms |
10096 KB |
Output is correct |
42 |
Correct |
161 ms |
10864 KB |
Output is correct |
43 |
Correct |
185 ms |
11376 KB |
Output is correct |
44 |
Correct |
189 ms |
11376 KB |
Output is correct |
45 |
Correct |
176 ms |
11360 KB |
Output is correct |
46 |
Correct |
164 ms |
10048 KB |
Output is correct |
47 |
Correct |
167 ms |
10856 KB |
Output is correct |
48 |
Correct |
178 ms |
10984 KB |
Output is correct |
49 |
Correct |
173 ms |
10344 KB |
Output is correct |
50 |
Correct |
161 ms |
10860 KB |
Output is correct |
51 |
Correct |
150 ms |
10060 KB |
Output is correct |
52 |
Correct |
223 ms |
11504 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
10044 KB |
Output is correct |
2 |
Correct |
7 ms |
10060 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
7 ms |
10060 KB |
Output is correct |
5 |
Correct |
11 ms |
10112 KB |
Output is correct |
6 |
Correct |
9 ms |
10060 KB |
Output is correct |
7 |
Correct |
7 ms |
10060 KB |
Output is correct |
8 |
Correct |
11 ms |
10112 KB |
Output is correct |
9 |
Correct |
12 ms |
10060 KB |
Output is correct |
10 |
Correct |
20 ms |
10060 KB |
Output is correct |
11 |
Correct |
21 ms |
10060 KB |
Output is correct |
12 |
Correct |
20 ms |
10060 KB |
Output is correct |
13 |
Correct |
18 ms |
10060 KB |
Output is correct |
14 |
Correct |
19 ms |
10040 KB |
Output is correct |
15 |
Correct |
20 ms |
10112 KB |
Output is correct |
16 |
Correct |
23 ms |
10060 KB |
Output is correct |
17 |
Correct |
14 ms |
10060 KB |
Output is correct |
18 |
Correct |
17 ms |
10116 KB |
Output is correct |
19 |
Correct |
18 ms |
10060 KB |
Output is correct |
20 |
Correct |
19 ms |
10060 KB |
Output is correct |
21 |
Correct |
50 ms |
10092 KB |
Output is correct |
22 |
Correct |
66 ms |
10092 KB |
Output is correct |
23 |
Correct |
32 ms |
10108 KB |
Output is correct |
24 |
Correct |
57 ms |
10100 KB |
Output is correct |
25 |
Correct |
56 ms |
10224 KB |
Output is correct |
26 |
Correct |
83 ms |
10216 KB |
Output is correct |
27 |
Correct |
64 ms |
10092 KB |
Output is correct |
28 |
Correct |
59 ms |
10188 KB |
Output is correct |
29 |
Correct |
57 ms |
10096 KB |
Output is correct |
30 |
Correct |
57 ms |
10060 KB |
Output is correct |
31 |
Correct |
63 ms |
10216 KB |
Output is correct |
32 |
Correct |
58 ms |
10108 KB |
Output is correct |
33 |
Correct |
57 ms |
10092 KB |
Output is correct |
34 |
Correct |
60 ms |
10088 KB |
Output is correct |
35 |
Correct |
61 ms |
10172 KB |
Output is correct |
36 |
Correct |
58 ms |
10104 KB |
Output is correct |
37 |
Correct |
118 ms |
10476 KB |
Output is correct |
38 |
Correct |
118 ms |
10488 KB |
Output is correct |
39 |
Correct |
184 ms |
10100 KB |
Output is correct |
40 |
Correct |
196 ms |
10868 KB |
Output is correct |
41 |
Correct |
192 ms |
10096 KB |
Output is correct |
42 |
Correct |
161 ms |
10864 KB |
Output is correct |
43 |
Correct |
185 ms |
11376 KB |
Output is correct |
44 |
Correct |
189 ms |
11376 KB |
Output is correct |
45 |
Correct |
176 ms |
11360 KB |
Output is correct |
46 |
Correct |
164 ms |
10048 KB |
Output is correct |
47 |
Correct |
167 ms |
10856 KB |
Output is correct |
48 |
Correct |
178 ms |
10984 KB |
Output is correct |
49 |
Correct |
173 ms |
10344 KB |
Output is correct |
50 |
Correct |
161 ms |
10860 KB |
Output is correct |
51 |
Correct |
150 ms |
10060 KB |
Output is correct |
52 |
Correct |
223 ms |
11504 KB |
Output is correct |
53 |
Correct |
253 ms |
11248 KB |
Output is correct |
54 |
Correct |
244 ms |
11504 KB |
Output is correct |
55 |
Correct |
300 ms |
12660 KB |
Output is correct |
56 |
Correct |
242 ms |
11516 KB |
Output is correct |
57 |
Correct |
326 ms |
12792 KB |
Output is correct |
58 |
Correct |
281 ms |
11632 KB |
Output is correct |
59 |
Correct |
308 ms |
12012 KB |
Output is correct |
60 |
Correct |
258 ms |
10060 KB |
Output is correct |
61 |
Correct |
302 ms |
12272 KB |
Output is correct |
62 |
Correct |
266 ms |
12528 KB |
Output is correct |
63 |
Correct |
275 ms |
12528 KB |
Output is correct |
64 |
Correct |
269 ms |
12528 KB |
Output is correct |
65 |
Correct |
206 ms |
10092 KB |
Output is correct |
66 |
Correct |
212 ms |
10348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
10044 KB |
Output is correct |
2 |
Correct |
7 ms |
10060 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
7 ms |
10060 KB |
Output is correct |
5 |
Correct |
11 ms |
10112 KB |
Output is correct |
6 |
Correct |
9 ms |
10060 KB |
Output is correct |
7 |
Correct |
7 ms |
10060 KB |
Output is correct |
8 |
Correct |
11 ms |
10112 KB |
Output is correct |
9 |
Correct |
12 ms |
10060 KB |
Output is correct |
10 |
Correct |
20 ms |
10060 KB |
Output is correct |
11 |
Correct |
21 ms |
10060 KB |
Output is correct |
12 |
Correct |
20 ms |
10060 KB |
Output is correct |
13 |
Correct |
18 ms |
10060 KB |
Output is correct |
14 |
Correct |
19 ms |
10040 KB |
Output is correct |
15 |
Correct |
20 ms |
10112 KB |
Output is correct |
16 |
Correct |
23 ms |
10060 KB |
Output is correct |
17 |
Correct |
14 ms |
10060 KB |
Output is correct |
18 |
Correct |
17 ms |
10116 KB |
Output is correct |
19 |
Correct |
18 ms |
10060 KB |
Output is correct |
20 |
Correct |
19 ms |
10060 KB |
Output is correct |
21 |
Correct |
50 ms |
10092 KB |
Output is correct |
22 |
Correct |
66 ms |
10092 KB |
Output is correct |
23 |
Correct |
32 ms |
10108 KB |
Output is correct |
24 |
Correct |
57 ms |
10100 KB |
Output is correct |
25 |
Correct |
56 ms |
10224 KB |
Output is correct |
26 |
Correct |
83 ms |
10216 KB |
Output is correct |
27 |
Correct |
64 ms |
10092 KB |
Output is correct |
28 |
Correct |
59 ms |
10188 KB |
Output is correct |
29 |
Correct |
57 ms |
10096 KB |
Output is correct |
30 |
Correct |
57 ms |
10060 KB |
Output is correct |
31 |
Correct |
63 ms |
10216 KB |
Output is correct |
32 |
Correct |
58 ms |
10108 KB |
Output is correct |
33 |
Correct |
57 ms |
10092 KB |
Output is correct |
34 |
Correct |
60 ms |
10088 KB |
Output is correct |
35 |
Correct |
61 ms |
10172 KB |
Output is correct |
36 |
Correct |
58 ms |
10104 KB |
Output is correct |
37 |
Correct |
118 ms |
10476 KB |
Output is correct |
38 |
Correct |
118 ms |
10488 KB |
Output is correct |
39 |
Correct |
184 ms |
10100 KB |
Output is correct |
40 |
Correct |
196 ms |
10868 KB |
Output is correct |
41 |
Correct |
192 ms |
10096 KB |
Output is correct |
42 |
Correct |
161 ms |
10864 KB |
Output is correct |
43 |
Correct |
185 ms |
11376 KB |
Output is correct |
44 |
Correct |
189 ms |
11376 KB |
Output is correct |
45 |
Correct |
176 ms |
11360 KB |
Output is correct |
46 |
Correct |
164 ms |
10048 KB |
Output is correct |
47 |
Correct |
167 ms |
10856 KB |
Output is correct |
48 |
Correct |
178 ms |
10984 KB |
Output is correct |
49 |
Correct |
173 ms |
10344 KB |
Output is correct |
50 |
Correct |
161 ms |
10860 KB |
Output is correct |
51 |
Correct |
150 ms |
10060 KB |
Output is correct |
52 |
Correct |
223 ms |
11504 KB |
Output is correct |
53 |
Correct |
253 ms |
11248 KB |
Output is correct |
54 |
Correct |
244 ms |
11504 KB |
Output is correct |
55 |
Correct |
300 ms |
12660 KB |
Output is correct |
56 |
Correct |
242 ms |
11516 KB |
Output is correct |
57 |
Correct |
326 ms |
12792 KB |
Output is correct |
58 |
Correct |
281 ms |
11632 KB |
Output is correct |
59 |
Correct |
308 ms |
12012 KB |
Output is correct |
60 |
Correct |
258 ms |
10060 KB |
Output is correct |
61 |
Correct |
302 ms |
12272 KB |
Output is correct |
62 |
Correct |
266 ms |
12528 KB |
Output is correct |
63 |
Correct |
275 ms |
12528 KB |
Output is correct |
64 |
Correct |
269 ms |
12528 KB |
Output is correct |
65 |
Correct |
206 ms |
10092 KB |
Output is correct |
66 |
Correct |
212 ms |
10348 KB |
Output is correct |
67 |
Correct |
298 ms |
12144 KB |
Output is correct |
68 |
Correct |
421 ms |
10060 KB |
Output is correct |
69 |
Correct |
598 ms |
15332 KB |
Output is correct |
70 |
Correct |
470 ms |
13512 KB |
Output is correct |
71 |
Correct |
442 ms |
13296 KB |
Output is correct |
72 |
Correct |
426 ms |
10048 KB |
Output is correct |
73 |
Correct |
0 ms |
204 KB |
Output is correct |
74 |
Correct |
663 ms |
15860 KB |
Output is correct |
75 |
Correct |
530 ms |
14660 KB |
Output is correct |
76 |
Correct |
606 ms |
15472 KB |
Output is correct |
77 |
Correct |
631 ms |
15984 KB |
Output is correct |