#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define ll long long
#define mp(x, y) make_pair(x, y)
#define sz(v) ((int) (v).size())
#define all(v) (v).begin(), (v).end()
#define MASK(i) (1LL << (i))
#define BIT(x, y) (((x) >> (y)) & 1)
#define pb push_back
#define max_rng *max_element
#define min_rng *min_element
#define rep(i, n) for(int i = 1, _n = (n); i <= _n; ++i)
#define forn(i, a, b) for(int i = (a), _b = (b); i <= _b; ++i)
#define ford(i, a, b) for(int i = (a), _b = (b); i >= _b; --i)
template <class X, class Y>
inline bool maximize(X &x, Y y) {
return (x < y ? x = y, true : false);
}
template <class X, class Y>
inline bool minimize(X &x, Y y) {
return (x > y ? x = y, true : false);
}
template <class X>
inline void compress(vector<X> &a) {
sort(all(a));
a.resize(unique(all(a)) - a.begin());
}
int ctz(ll x) { return __builtin_ctzll(x); }
int lg(ll x) { return 63 - __builtin_clzll(x); }
int popcount(ll x) { return __builtin_popcount(x); }
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rand(ll l, ll r) {
return l + abs((ll) rng()) % (r - l + 1);
}
const ll oo = (ll) 1e17;
const int inf = (ll) 1e9 + 7, mod = (ll) 1e9 + 7;
const int N = 5e2 + 5, M = 250005, BASE = 307, LOG = 23;
void add(int &x, int y) { x += y; if (x >= mod) x -= mod; }
void sub(int &x, int y) { x -= y; if (x < 0) x += mod; }
int n;
int a[N];
int f[M];
int main(void) {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
cin >> n;
rep(i, n) cin >> a[i];
int sum = accumulate(a + 1, a + 1 + n, 0);
f[0] = 1;
rep(i, n) ford(s, sum, a[i]) {
add(f[s], f[s - a[i]]);
}
if (sum & 1 || !f[sum / 2]) return cout << 0, 0;
vector<int> valid;
rep(i, sum) valid.pb(i);
rep(ban, n) {
forn(s, a[ban], sum) sub(f[s], f[s - a[ban]]);
vector<int> lst;
for (int val : valid) {
int res = sum - a[ban] + val;
if (res & 1) continue;
res >>= 1;
if (f[res] > 0) {
lst.pb(val);
}
}
valid.swap(lst);
ford(s, sum, a[ban]) add(f[s], f[s - a[ban]]);
}
cout << sz(valid) << '\n';
for (int v : valid) cout << v << ' ';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
432 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
372 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
432 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
372 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
2 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
2 ms |
348 KB |
Output is correct |
25 |
Correct |
3 ms |
604 KB |
Output is correct |
26 |
Correct |
3 ms |
600 KB |
Output is correct |
27 |
Correct |
3 ms |
600 KB |
Output is correct |
28 |
Correct |
3 ms |
604 KB |
Output is correct |
29 |
Correct |
3 ms |
604 KB |
Output is correct |
30 |
Correct |
2 ms |
348 KB |
Output is correct |
31 |
Correct |
3 ms |
348 KB |
Output is correct |
32 |
Correct |
2 ms |
436 KB |
Output is correct |
33 |
Correct |
3 ms |
856 KB |
Output is correct |
34 |
Correct |
3 ms |
604 KB |
Output is correct |
35 |
Correct |
3 ms |
604 KB |
Output is correct |
36 |
Correct |
2 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
432 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
372 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
2 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
2 ms |
348 KB |
Output is correct |
25 |
Correct |
3 ms |
604 KB |
Output is correct |
26 |
Correct |
3 ms |
600 KB |
Output is correct |
27 |
Correct |
3 ms |
600 KB |
Output is correct |
28 |
Correct |
3 ms |
604 KB |
Output is correct |
29 |
Correct |
3 ms |
604 KB |
Output is correct |
30 |
Correct |
2 ms |
348 KB |
Output is correct |
31 |
Correct |
3 ms |
348 KB |
Output is correct |
32 |
Correct |
2 ms |
436 KB |
Output is correct |
33 |
Correct |
3 ms |
856 KB |
Output is correct |
34 |
Correct |
3 ms |
604 KB |
Output is correct |
35 |
Correct |
3 ms |
604 KB |
Output is correct |
36 |
Correct |
2 ms |
348 KB |
Output is correct |
37 |
Correct |
14 ms |
604 KB |
Output is correct |
38 |
Correct |
14 ms |
604 KB |
Output is correct |
39 |
Correct |
31 ms |
1244 KB |
Output is correct |
40 |
Correct |
28 ms |
852 KB |
Output is correct |
41 |
Correct |
42 ms |
1248 KB |
Output is correct |
42 |
Correct |
25 ms |
840 KB |
Output is correct |
43 |
Correct |
42 ms |
996 KB |
Output is correct |
44 |
Correct |
43 ms |
1168 KB |
Output is correct |
45 |
Correct |
44 ms |
1028 KB |
Output is correct |
46 |
Correct |
19 ms |
600 KB |
Output is correct |
47 |
Correct |
26 ms |
852 KB |
Output is correct |
48 |
Correct |
44 ms |
1008 KB |
Output is correct |
49 |
Correct |
35 ms |
992 KB |
Output is correct |
50 |
Correct |
26 ms |
860 KB |
Output is correct |
51 |
Correct |
9 ms |
348 KB |
Output is correct |
52 |
Correct |
70 ms |
1380 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
432 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
372 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
2 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
2 ms |
348 KB |
Output is correct |
25 |
Correct |
3 ms |
604 KB |
Output is correct |
26 |
Correct |
3 ms |
600 KB |
Output is correct |
27 |
Correct |
3 ms |
600 KB |
Output is correct |
28 |
Correct |
3 ms |
604 KB |
Output is correct |
29 |
Correct |
3 ms |
604 KB |
Output is correct |
30 |
Correct |
2 ms |
348 KB |
Output is correct |
31 |
Correct |
3 ms |
348 KB |
Output is correct |
32 |
Correct |
2 ms |
436 KB |
Output is correct |
33 |
Correct |
3 ms |
856 KB |
Output is correct |
34 |
Correct |
3 ms |
604 KB |
Output is correct |
35 |
Correct |
3 ms |
604 KB |
Output is correct |
36 |
Correct |
2 ms |
348 KB |
Output is correct |
37 |
Correct |
14 ms |
604 KB |
Output is correct |
38 |
Correct |
14 ms |
604 KB |
Output is correct |
39 |
Correct |
31 ms |
1244 KB |
Output is correct |
40 |
Correct |
28 ms |
852 KB |
Output is correct |
41 |
Correct |
42 ms |
1248 KB |
Output is correct |
42 |
Correct |
25 ms |
840 KB |
Output is correct |
43 |
Correct |
42 ms |
996 KB |
Output is correct |
44 |
Correct |
43 ms |
1168 KB |
Output is correct |
45 |
Correct |
44 ms |
1028 KB |
Output is correct |
46 |
Correct |
19 ms |
600 KB |
Output is correct |
47 |
Correct |
26 ms |
852 KB |
Output is correct |
48 |
Correct |
44 ms |
1008 KB |
Output is correct |
49 |
Correct |
35 ms |
992 KB |
Output is correct |
50 |
Correct |
26 ms |
860 KB |
Output is correct |
51 |
Correct |
9 ms |
348 KB |
Output is correct |
52 |
Correct |
70 ms |
1380 KB |
Output is correct |
53 |
Correct |
45 ms |
992 KB |
Output is correct |
54 |
Correct |
61 ms |
1152 KB |
Output is correct |
55 |
Correct |
121 ms |
1812 KB |
Output is correct |
56 |
Correct |
55 ms |
1148 KB |
Output is correct |
57 |
Correct |
123 ms |
1856 KB |
Output is correct |
58 |
Correct |
68 ms |
1076 KB |
Output is correct |
59 |
Correct |
96 ms |
1396 KB |
Output is correct |
60 |
Correct |
19 ms |
604 KB |
Output is correct |
61 |
Correct |
102 ms |
1496 KB |
Output is correct |
62 |
Correct |
101 ms |
1700 KB |
Output is correct |
63 |
Correct |
108 ms |
1744 KB |
Output is correct |
64 |
Correct |
110 ms |
1596 KB |
Output is correct |
65 |
Correct |
31 ms |
860 KB |
Output is correct |
66 |
Correct |
39 ms |
992 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
432 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
372 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
2 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
2 ms |
348 KB |
Output is correct |
25 |
Correct |
3 ms |
604 KB |
Output is correct |
26 |
Correct |
3 ms |
600 KB |
Output is correct |
27 |
Correct |
3 ms |
600 KB |
Output is correct |
28 |
Correct |
3 ms |
604 KB |
Output is correct |
29 |
Correct |
3 ms |
604 KB |
Output is correct |
30 |
Correct |
2 ms |
348 KB |
Output is correct |
31 |
Correct |
3 ms |
348 KB |
Output is correct |
32 |
Correct |
2 ms |
436 KB |
Output is correct |
33 |
Correct |
3 ms |
856 KB |
Output is correct |
34 |
Correct |
3 ms |
604 KB |
Output is correct |
35 |
Correct |
3 ms |
604 KB |
Output is correct |
36 |
Correct |
2 ms |
348 KB |
Output is correct |
37 |
Correct |
14 ms |
604 KB |
Output is correct |
38 |
Correct |
14 ms |
604 KB |
Output is correct |
39 |
Correct |
31 ms |
1244 KB |
Output is correct |
40 |
Correct |
28 ms |
852 KB |
Output is correct |
41 |
Correct |
42 ms |
1248 KB |
Output is correct |
42 |
Correct |
25 ms |
840 KB |
Output is correct |
43 |
Correct |
42 ms |
996 KB |
Output is correct |
44 |
Correct |
43 ms |
1168 KB |
Output is correct |
45 |
Correct |
44 ms |
1028 KB |
Output is correct |
46 |
Correct |
19 ms |
600 KB |
Output is correct |
47 |
Correct |
26 ms |
852 KB |
Output is correct |
48 |
Correct |
44 ms |
1008 KB |
Output is correct |
49 |
Correct |
35 ms |
992 KB |
Output is correct |
50 |
Correct |
26 ms |
860 KB |
Output is correct |
51 |
Correct |
9 ms |
348 KB |
Output is correct |
52 |
Correct |
70 ms |
1380 KB |
Output is correct |
53 |
Correct |
45 ms |
992 KB |
Output is correct |
54 |
Correct |
61 ms |
1152 KB |
Output is correct |
55 |
Correct |
121 ms |
1812 KB |
Output is correct |
56 |
Correct |
55 ms |
1148 KB |
Output is correct |
57 |
Correct |
123 ms |
1856 KB |
Output is correct |
58 |
Correct |
68 ms |
1076 KB |
Output is correct |
59 |
Correct |
96 ms |
1396 KB |
Output is correct |
60 |
Correct |
19 ms |
604 KB |
Output is correct |
61 |
Correct |
102 ms |
1496 KB |
Output is correct |
62 |
Correct |
101 ms |
1700 KB |
Output is correct |
63 |
Correct |
108 ms |
1744 KB |
Output is correct |
64 |
Correct |
110 ms |
1596 KB |
Output is correct |
65 |
Correct |
31 ms |
860 KB |
Output is correct |
66 |
Correct |
39 ms |
992 KB |
Output is correct |
67 |
Correct |
109 ms |
1500 KB |
Output is correct |
68 |
Correct |
42 ms |
860 KB |
Output is correct |
69 |
Correct |
343 ms |
3200 KB |
Output is correct |
70 |
Correct |
199 ms |
1996 KB |
Output is correct |
71 |
Correct |
192 ms |
1836 KB |
Output is correct |
72 |
Correct |
138 ms |
1744 KB |
Output is correct |
73 |
Correct |
123 ms |
1840 KB |
Output is correct |
74 |
Correct |
373 ms |
3364 KB |
Output is correct |
75 |
Correct |
293 ms |
2836 KB |
Output is correct |
76 |
Correct |
367 ms |
3332 KB |
Output is correct |
77 |
Correct |
370 ms |
3388 KB |
Output is correct |