#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
#define F first
#define S second
#define forn(i, n) for(int i = 0; i < n; ++i)
#define forbn(i, b, n) for(int i = b; i < n; ++i)
#define sz(v) (int)v.size()
#define pb push_back
#define mp make_pair
#define eb emplace_back
#define all(v) v.begin(), v.end()
#define min3(a, b, c) min(a, min(b, c))
#define lc v << 1
#define rc (v << 1) + 1
typedef pair<int, int> ii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef long long ll;
typedef complex<double> cd;
typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;
template <class T> inline void mineq(T &a, T b) { a = min(a, b); }
template <class T> inline void maxeq(T &a, T b) { a = max(a, b); }
const int BASE = 500;
const int MX = BASE * BASE + 1;
using bts = bitset<MX>;
int mod = 433494437;
int total = 0;
int add(int a, int b) {
return ((a + b) % mod + mod) % mod;
}
bts divide(vi pol2, int d, int sh) {
bts res;
for(int i = total; i - d >= 0 && i - d + sh >= total / 2; i--) {
if(pol2[i] != 0) {
pol2[i - d] = add(pol2[i - d], -pol2[i]);
res[i - d + sh] = 1;
}
}
return res;
}
void solve() {
int n;
cin >> n;
vi arr(n);
set<int> nums;
forn(i, n) {
cin >> arr[i];
nums.insert(arr[i]);
}
sort(all(arr));
vi pol2(MX, 0);
pol2[0] = 1;
for(int a: arr) {
for(int i = MX - a - 1; i >= 0; i--) {
pol2[i + a] = add(pol2[i + a], pol2[i]);
}
}
bts s;
s[0] = 1;
bool odd = true, even = true;
for(int a: arr) {
s |= s << a;
total += a;
if(a % 2)
even = false;
else
odd = false;
}
if(total % 2 || s[total / 2] == 0 || (!even && !odd))
{
cout << 0;
return;
}
bts ans;
ans.flip();
for(int a: nums) {
int d = (a + (odd ? 1 : 0)) / 2;
bts c = divide(pol2, a, d);
ans &= c;
}
vi vans;
int rem = (odd ? 1 : 0) + total;
forbn(i, (rem + 1) / 2, MX) {
if(ans[i]) {
vans.pb(2 * i - rem);
}
}
cout << sz(vans) << '\n';
for(int el: vans)
cout << el << ' ';
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
// freopen("triangles.in", "r", stdin);
// freopen("triangles.out", "w", stdout);
int t = 1;
// cin >> t;
while(t--) {
solve();
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
2304 KB |
Output is correct |
2 |
Correct |
17 ms |
2304 KB |
Output is correct |
3 |
Correct |
9 ms |
1364 KB |
Output is correct |
4 |
Correct |
13 ms |
2288 KB |
Output is correct |
5 |
Correct |
35 ms |
2336 KB |
Output is correct |
6 |
Correct |
24 ms |
2324 KB |
Output is correct |
7 |
Correct |
18 ms |
2340 KB |
Output is correct |
8 |
Correct |
32 ms |
2296 KB |
Output is correct |
9 |
Correct |
24 ms |
1364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
2304 KB |
Output is correct |
2 |
Correct |
17 ms |
2304 KB |
Output is correct |
3 |
Correct |
9 ms |
1364 KB |
Output is correct |
4 |
Correct |
13 ms |
2288 KB |
Output is correct |
5 |
Correct |
35 ms |
2336 KB |
Output is correct |
6 |
Correct |
24 ms |
2324 KB |
Output is correct |
7 |
Correct |
18 ms |
2340 KB |
Output is correct |
8 |
Correct |
32 ms |
2296 KB |
Output is correct |
9 |
Correct |
24 ms |
1364 KB |
Output is correct |
10 |
Correct |
73 ms |
2276 KB |
Output is correct |
11 |
Correct |
73 ms |
2328 KB |
Output is correct |
12 |
Correct |
80 ms |
2332 KB |
Output is correct |
13 |
Correct |
70 ms |
1364 KB |
Output is correct |
14 |
Correct |
68 ms |
2312 KB |
Output is correct |
15 |
Correct |
70 ms |
2324 KB |
Output is correct |
16 |
Correct |
72 ms |
2316 KB |
Output is correct |
17 |
Correct |
44 ms |
2332 KB |
Output is correct |
18 |
Correct |
67 ms |
2324 KB |
Output is correct |
19 |
Correct |
71 ms |
2312 KB |
Output is correct |
20 |
Correct |
75 ms |
2288 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
2304 KB |
Output is correct |
2 |
Correct |
17 ms |
2304 KB |
Output is correct |
3 |
Correct |
9 ms |
1364 KB |
Output is correct |
4 |
Correct |
13 ms |
2288 KB |
Output is correct |
5 |
Correct |
35 ms |
2336 KB |
Output is correct |
6 |
Correct |
24 ms |
2324 KB |
Output is correct |
7 |
Correct |
18 ms |
2340 KB |
Output is correct |
8 |
Correct |
32 ms |
2296 KB |
Output is correct |
9 |
Correct |
24 ms |
1364 KB |
Output is correct |
10 |
Correct |
73 ms |
2276 KB |
Output is correct |
11 |
Correct |
73 ms |
2328 KB |
Output is correct |
12 |
Correct |
80 ms |
2332 KB |
Output is correct |
13 |
Correct |
70 ms |
1364 KB |
Output is correct |
14 |
Correct |
68 ms |
2312 KB |
Output is correct |
15 |
Correct |
70 ms |
2324 KB |
Output is correct |
16 |
Correct |
72 ms |
2316 KB |
Output is correct |
17 |
Correct |
44 ms |
2332 KB |
Output is correct |
18 |
Correct |
67 ms |
2324 KB |
Output is correct |
19 |
Correct |
71 ms |
2312 KB |
Output is correct |
20 |
Correct |
75 ms |
2288 KB |
Output is correct |
21 |
Correct |
161 ms |
2316 KB |
Output is correct |
22 |
Correct |
188 ms |
2316 KB |
Output is correct |
23 |
Correct |
128 ms |
2332 KB |
Output is correct |
24 |
Correct |
224 ms |
2316 KB |
Output is correct |
25 |
Correct |
248 ms |
2296 KB |
Output is correct |
26 |
Correct |
236 ms |
2312 KB |
Output is correct |
27 |
Correct |
245 ms |
2424 KB |
Output is correct |
28 |
Correct |
268 ms |
2320 KB |
Output is correct |
29 |
Correct |
240 ms |
2296 KB |
Output is correct |
30 |
Correct |
248 ms |
1364 KB |
Output is correct |
31 |
Correct |
252 ms |
2332 KB |
Output is correct |
32 |
Correct |
238 ms |
2324 KB |
Output is correct |
33 |
Correct |
263 ms |
2272 KB |
Output is correct |
34 |
Correct |
235 ms |
2276 KB |
Output is correct |
35 |
Correct |
243 ms |
2316 KB |
Output is correct |
36 |
Correct |
265 ms |
2320 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
2304 KB |
Output is correct |
2 |
Correct |
17 ms |
2304 KB |
Output is correct |
3 |
Correct |
9 ms |
1364 KB |
Output is correct |
4 |
Correct |
13 ms |
2288 KB |
Output is correct |
5 |
Correct |
35 ms |
2336 KB |
Output is correct |
6 |
Correct |
24 ms |
2324 KB |
Output is correct |
7 |
Correct |
18 ms |
2340 KB |
Output is correct |
8 |
Correct |
32 ms |
2296 KB |
Output is correct |
9 |
Correct |
24 ms |
1364 KB |
Output is correct |
10 |
Correct |
73 ms |
2276 KB |
Output is correct |
11 |
Correct |
73 ms |
2328 KB |
Output is correct |
12 |
Correct |
80 ms |
2332 KB |
Output is correct |
13 |
Correct |
70 ms |
1364 KB |
Output is correct |
14 |
Correct |
68 ms |
2312 KB |
Output is correct |
15 |
Correct |
70 ms |
2324 KB |
Output is correct |
16 |
Correct |
72 ms |
2316 KB |
Output is correct |
17 |
Correct |
44 ms |
2332 KB |
Output is correct |
18 |
Correct |
67 ms |
2324 KB |
Output is correct |
19 |
Correct |
71 ms |
2312 KB |
Output is correct |
20 |
Correct |
75 ms |
2288 KB |
Output is correct |
21 |
Correct |
161 ms |
2316 KB |
Output is correct |
22 |
Correct |
188 ms |
2316 KB |
Output is correct |
23 |
Correct |
128 ms |
2332 KB |
Output is correct |
24 |
Correct |
224 ms |
2316 KB |
Output is correct |
25 |
Correct |
248 ms |
2296 KB |
Output is correct |
26 |
Correct |
236 ms |
2312 KB |
Output is correct |
27 |
Correct |
245 ms |
2424 KB |
Output is correct |
28 |
Correct |
268 ms |
2320 KB |
Output is correct |
29 |
Correct |
240 ms |
2296 KB |
Output is correct |
30 |
Correct |
248 ms |
1364 KB |
Output is correct |
31 |
Correct |
252 ms |
2332 KB |
Output is correct |
32 |
Correct |
238 ms |
2324 KB |
Output is correct |
33 |
Correct |
263 ms |
2272 KB |
Output is correct |
34 |
Correct |
235 ms |
2276 KB |
Output is correct |
35 |
Correct |
243 ms |
2316 KB |
Output is correct |
36 |
Correct |
265 ms |
2320 KB |
Output is correct |
37 |
Correct |
511 ms |
2320 KB |
Output is correct |
38 |
Correct |
494 ms |
2320 KB |
Output is correct |
39 |
Correct |
612 ms |
2280 KB |
Output is correct |
40 |
Correct |
709 ms |
2452 KB |
Output is correct |
41 |
Correct |
667 ms |
2252 KB |
Output is correct |
42 |
Correct |
639 ms |
2448 KB |
Output is correct |
43 |
Correct |
614 ms |
2452 KB |
Output is correct |
44 |
Correct |
629 ms |
2424 KB |
Output is correct |
45 |
Correct |
606 ms |
2424 KB |
Output is correct |
46 |
Correct |
661 ms |
2320 KB |
Output is correct |
47 |
Correct |
638 ms |
2464 KB |
Output is correct |
48 |
Correct |
626 ms |
2456 KB |
Output is correct |
49 |
Correct |
623 ms |
2324 KB |
Output is correct |
50 |
Correct |
628 ms |
2452 KB |
Output is correct |
51 |
Correct |
595 ms |
1364 KB |
Output is correct |
52 |
Correct |
684 ms |
2448 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
2304 KB |
Output is correct |
2 |
Correct |
17 ms |
2304 KB |
Output is correct |
3 |
Correct |
9 ms |
1364 KB |
Output is correct |
4 |
Correct |
13 ms |
2288 KB |
Output is correct |
5 |
Correct |
35 ms |
2336 KB |
Output is correct |
6 |
Correct |
24 ms |
2324 KB |
Output is correct |
7 |
Correct |
18 ms |
2340 KB |
Output is correct |
8 |
Correct |
32 ms |
2296 KB |
Output is correct |
9 |
Correct |
24 ms |
1364 KB |
Output is correct |
10 |
Correct |
73 ms |
2276 KB |
Output is correct |
11 |
Correct |
73 ms |
2328 KB |
Output is correct |
12 |
Correct |
80 ms |
2332 KB |
Output is correct |
13 |
Correct |
70 ms |
1364 KB |
Output is correct |
14 |
Correct |
68 ms |
2312 KB |
Output is correct |
15 |
Correct |
70 ms |
2324 KB |
Output is correct |
16 |
Correct |
72 ms |
2316 KB |
Output is correct |
17 |
Correct |
44 ms |
2332 KB |
Output is correct |
18 |
Correct |
67 ms |
2324 KB |
Output is correct |
19 |
Correct |
71 ms |
2312 KB |
Output is correct |
20 |
Correct |
75 ms |
2288 KB |
Output is correct |
21 |
Correct |
161 ms |
2316 KB |
Output is correct |
22 |
Correct |
188 ms |
2316 KB |
Output is correct |
23 |
Correct |
128 ms |
2332 KB |
Output is correct |
24 |
Correct |
224 ms |
2316 KB |
Output is correct |
25 |
Correct |
248 ms |
2296 KB |
Output is correct |
26 |
Correct |
236 ms |
2312 KB |
Output is correct |
27 |
Correct |
245 ms |
2424 KB |
Output is correct |
28 |
Correct |
268 ms |
2320 KB |
Output is correct |
29 |
Correct |
240 ms |
2296 KB |
Output is correct |
30 |
Correct |
248 ms |
1364 KB |
Output is correct |
31 |
Correct |
252 ms |
2332 KB |
Output is correct |
32 |
Correct |
238 ms |
2324 KB |
Output is correct |
33 |
Correct |
263 ms |
2272 KB |
Output is correct |
34 |
Correct |
235 ms |
2276 KB |
Output is correct |
35 |
Correct |
243 ms |
2316 KB |
Output is correct |
36 |
Correct |
265 ms |
2320 KB |
Output is correct |
37 |
Correct |
511 ms |
2320 KB |
Output is correct |
38 |
Correct |
494 ms |
2320 KB |
Output is correct |
39 |
Correct |
612 ms |
2280 KB |
Output is correct |
40 |
Correct |
709 ms |
2452 KB |
Output is correct |
41 |
Correct |
667 ms |
2252 KB |
Output is correct |
42 |
Correct |
639 ms |
2448 KB |
Output is correct |
43 |
Correct |
614 ms |
2452 KB |
Output is correct |
44 |
Correct |
629 ms |
2424 KB |
Output is correct |
45 |
Correct |
606 ms |
2424 KB |
Output is correct |
46 |
Correct |
661 ms |
2320 KB |
Output is correct |
47 |
Correct |
638 ms |
2464 KB |
Output is correct |
48 |
Correct |
626 ms |
2456 KB |
Output is correct |
49 |
Correct |
623 ms |
2324 KB |
Output is correct |
50 |
Correct |
628 ms |
2452 KB |
Output is correct |
51 |
Correct |
595 ms |
1364 KB |
Output is correct |
52 |
Correct |
684 ms |
2448 KB |
Output is correct |
53 |
Correct |
783 ms |
2456 KB |
Output is correct |
54 |
Correct |
902 ms |
2492 KB |
Output is correct |
55 |
Correct |
867 ms |
2580 KB |
Output is correct |
56 |
Correct |
798 ms |
2464 KB |
Output is correct |
57 |
Correct |
871 ms |
2588 KB |
Output is correct |
58 |
Correct |
912 ms |
2592 KB |
Output is correct |
59 |
Correct |
895 ms |
2488 KB |
Output is correct |
60 |
Correct |
847 ms |
1364 KB |
Output is correct |
61 |
Correct |
906 ms |
2584 KB |
Output is correct |
62 |
Correct |
825 ms |
2588 KB |
Output is correct |
63 |
Correct |
792 ms |
2804 KB |
Output is correct |
64 |
Correct |
775 ms |
2580 KB |
Output is correct |
65 |
Correct |
752 ms |
2296 KB |
Output is correct |
66 |
Correct |
722 ms |
2324 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
2304 KB |
Output is correct |
2 |
Correct |
17 ms |
2304 KB |
Output is correct |
3 |
Correct |
9 ms |
1364 KB |
Output is correct |
4 |
Correct |
13 ms |
2288 KB |
Output is correct |
5 |
Correct |
35 ms |
2336 KB |
Output is correct |
6 |
Correct |
24 ms |
2324 KB |
Output is correct |
7 |
Correct |
18 ms |
2340 KB |
Output is correct |
8 |
Correct |
32 ms |
2296 KB |
Output is correct |
9 |
Correct |
24 ms |
1364 KB |
Output is correct |
10 |
Correct |
73 ms |
2276 KB |
Output is correct |
11 |
Correct |
73 ms |
2328 KB |
Output is correct |
12 |
Correct |
80 ms |
2332 KB |
Output is correct |
13 |
Correct |
70 ms |
1364 KB |
Output is correct |
14 |
Correct |
68 ms |
2312 KB |
Output is correct |
15 |
Correct |
70 ms |
2324 KB |
Output is correct |
16 |
Correct |
72 ms |
2316 KB |
Output is correct |
17 |
Correct |
44 ms |
2332 KB |
Output is correct |
18 |
Correct |
67 ms |
2324 KB |
Output is correct |
19 |
Correct |
71 ms |
2312 KB |
Output is correct |
20 |
Correct |
75 ms |
2288 KB |
Output is correct |
21 |
Correct |
161 ms |
2316 KB |
Output is correct |
22 |
Correct |
188 ms |
2316 KB |
Output is correct |
23 |
Correct |
128 ms |
2332 KB |
Output is correct |
24 |
Correct |
224 ms |
2316 KB |
Output is correct |
25 |
Correct |
248 ms |
2296 KB |
Output is correct |
26 |
Correct |
236 ms |
2312 KB |
Output is correct |
27 |
Correct |
245 ms |
2424 KB |
Output is correct |
28 |
Correct |
268 ms |
2320 KB |
Output is correct |
29 |
Correct |
240 ms |
2296 KB |
Output is correct |
30 |
Correct |
248 ms |
1364 KB |
Output is correct |
31 |
Correct |
252 ms |
2332 KB |
Output is correct |
32 |
Correct |
238 ms |
2324 KB |
Output is correct |
33 |
Correct |
263 ms |
2272 KB |
Output is correct |
34 |
Correct |
235 ms |
2276 KB |
Output is correct |
35 |
Correct |
243 ms |
2316 KB |
Output is correct |
36 |
Correct |
265 ms |
2320 KB |
Output is correct |
37 |
Correct |
511 ms |
2320 KB |
Output is correct |
38 |
Correct |
494 ms |
2320 KB |
Output is correct |
39 |
Correct |
612 ms |
2280 KB |
Output is correct |
40 |
Correct |
709 ms |
2452 KB |
Output is correct |
41 |
Correct |
667 ms |
2252 KB |
Output is correct |
42 |
Correct |
639 ms |
2448 KB |
Output is correct |
43 |
Correct |
614 ms |
2452 KB |
Output is correct |
44 |
Correct |
629 ms |
2424 KB |
Output is correct |
45 |
Correct |
606 ms |
2424 KB |
Output is correct |
46 |
Correct |
661 ms |
2320 KB |
Output is correct |
47 |
Correct |
638 ms |
2464 KB |
Output is correct |
48 |
Correct |
626 ms |
2456 KB |
Output is correct |
49 |
Correct |
623 ms |
2324 KB |
Output is correct |
50 |
Correct |
628 ms |
2452 KB |
Output is correct |
51 |
Correct |
595 ms |
1364 KB |
Output is correct |
52 |
Correct |
684 ms |
2448 KB |
Output is correct |
53 |
Correct |
783 ms |
2456 KB |
Output is correct |
54 |
Correct |
902 ms |
2492 KB |
Output is correct |
55 |
Correct |
867 ms |
2580 KB |
Output is correct |
56 |
Correct |
798 ms |
2464 KB |
Output is correct |
57 |
Correct |
871 ms |
2588 KB |
Output is correct |
58 |
Correct |
912 ms |
2592 KB |
Output is correct |
59 |
Correct |
895 ms |
2488 KB |
Output is correct |
60 |
Correct |
847 ms |
1364 KB |
Output is correct |
61 |
Correct |
906 ms |
2584 KB |
Output is correct |
62 |
Correct |
825 ms |
2588 KB |
Output is correct |
63 |
Correct |
792 ms |
2804 KB |
Output is correct |
64 |
Correct |
775 ms |
2580 KB |
Output is correct |
65 |
Correct |
752 ms |
2296 KB |
Output is correct |
66 |
Correct |
722 ms |
2324 KB |
Output is correct |
67 |
Execution timed out |
1002 ms |
2512 KB |
Time limit exceeded |
68 |
Halted |
0 ms |
0 KB |
- |