//credits to Sunnatov
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define all(v) v.begin(),v.end()
#define rall(v) v.rbegin(),v.rend()
#define vi vector<int>
#define ii pair<int,int>
#define vii vector<ii>
#define vb vector<bool>
#define pb push_back
#define eb emplace_back
const int maxn = 25e4+5;
const int sq = 23;
const int inf = 1e18;
void solve() {
int n; cin >> n;
int sum = 0;
vi a(n);
for (int &i : a) cin >> i, sum+=i;
set<int> ans;
bitset<maxn> bs;
bs.set(0);
vector<bitset<maxn>> without(sq), without2(n);
for (int i : a) bs |= bs << i; //if we can make x, without a[i], we can make x+a[i] with a[i]
for (int i = 0; i < sq; i++) {
without[i].set(0);
for (int j = 0; j < n; j++) {
if (i*sq <= j && j < (i+1)*sq) continue; //if the block has j-th element, we skip
without[i] |= without[i] << a[j]; //storing all sums we can get without block of a[j]
}
} for (int i = 0; i < n; i++) { //now we do the same thing for each element in each block
without2[i] = without[i/sq]; //we restore for each block
for (int j = i/sq*sq; j < min(n,(i/sq+1)*sq); j++) { //in this block, we store values we can get without a[i]
if (i == j) continue;
without2[i] |= without2[i] << a[j];
}
} for (int i = 1; i <= maxn; i++) { //find values that are suitable for every element of a
if (sum&1 or !bs[sum/2]) continue;
sum += i; bool ok = true;
for (int j = 0; ok and j < n; j++) {
sum -= a[j];
if (sum&1 or !without2[j][sum/2]) ok=false;
sum += a[j];
}
sum -= i;
if (ok) ans.insert(i);
}
//out:
cout<<ans.size()<<'\n';
for(int i:ans)cout<<i<<' ';
}
signed main() {
cin.tie()->sync_with_stdio(0);
int tc = 1;
//cin >> tc;
while (tc--) {
solve();
cout<<'\n';
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1372 KB |
Output is correct |
2 |
Correct |
2 ms |
1372 KB |
Output is correct |
3 |
Correct |
1 ms |
1116 KB |
Output is correct |
4 |
Correct |
2 ms |
1368 KB |
Output is correct |
5 |
Correct |
3 ms |
1624 KB |
Output is correct |
6 |
Correct |
2 ms |
1368 KB |
Output is correct |
7 |
Correct |
2 ms |
1372 KB |
Output is correct |
8 |
Correct |
3 ms |
1628 KB |
Output is correct |
9 |
Correct |
3 ms |
1372 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1372 KB |
Output is correct |
2 |
Correct |
2 ms |
1372 KB |
Output is correct |
3 |
Correct |
1 ms |
1116 KB |
Output is correct |
4 |
Correct |
2 ms |
1368 KB |
Output is correct |
5 |
Correct |
3 ms |
1624 KB |
Output is correct |
6 |
Correct |
2 ms |
1368 KB |
Output is correct |
7 |
Correct |
2 ms |
1372 KB |
Output is correct |
8 |
Correct |
3 ms |
1628 KB |
Output is correct |
9 |
Correct |
3 ms |
1372 KB |
Output is correct |
10 |
Correct |
8 ms |
2140 KB |
Output is correct |
11 |
Correct |
8 ms |
2148 KB |
Output is correct |
12 |
Correct |
9 ms |
2140 KB |
Output is correct |
13 |
Correct |
8 ms |
2064 KB |
Output is correct |
14 |
Correct |
8 ms |
1880 KB |
Output is correct |
15 |
Correct |
8 ms |
1884 KB |
Output is correct |
16 |
Correct |
8 ms |
2140 KB |
Output is correct |
17 |
Correct |
5 ms |
1628 KB |
Output is correct |
18 |
Correct |
7 ms |
1996 KB |
Output is correct |
19 |
Correct |
8 ms |
1824 KB |
Output is correct |
20 |
Correct |
9 ms |
2036 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1372 KB |
Output is correct |
2 |
Correct |
2 ms |
1372 KB |
Output is correct |
3 |
Correct |
1 ms |
1116 KB |
Output is correct |
4 |
Correct |
2 ms |
1368 KB |
Output is correct |
5 |
Correct |
3 ms |
1624 KB |
Output is correct |
6 |
Correct |
2 ms |
1368 KB |
Output is correct |
7 |
Correct |
2 ms |
1372 KB |
Output is correct |
8 |
Correct |
3 ms |
1628 KB |
Output is correct |
9 |
Correct |
3 ms |
1372 KB |
Output is correct |
10 |
Correct |
8 ms |
2140 KB |
Output is correct |
11 |
Correct |
8 ms |
2148 KB |
Output is correct |
12 |
Correct |
9 ms |
2140 KB |
Output is correct |
13 |
Correct |
8 ms |
2064 KB |
Output is correct |
14 |
Correct |
8 ms |
1880 KB |
Output is correct |
15 |
Correct |
8 ms |
1884 KB |
Output is correct |
16 |
Correct |
8 ms |
2140 KB |
Output is correct |
17 |
Correct |
5 ms |
1628 KB |
Output is correct |
18 |
Correct |
7 ms |
1996 KB |
Output is correct |
19 |
Correct |
8 ms |
1824 KB |
Output is correct |
20 |
Correct |
9 ms |
2036 KB |
Output is correct |
21 |
Correct |
22 ms |
3164 KB |
Output is correct |
22 |
Correct |
20 ms |
3416 KB |
Output is correct |
23 |
Correct |
14 ms |
2652 KB |
Output is correct |
24 |
Correct |
26 ms |
4176 KB |
Output is correct |
25 |
Correct |
26 ms |
4184 KB |
Output is correct |
26 |
Correct |
27 ms |
4444 KB |
Output is correct |
27 |
Correct |
27 ms |
4324 KB |
Output is correct |
28 |
Correct |
28 ms |
4316 KB |
Output is correct |
29 |
Correct |
26 ms |
4184 KB |
Output is correct |
30 |
Correct |
26 ms |
4184 KB |
Output is correct |
31 |
Correct |
28 ms |
4572 KB |
Output is correct |
32 |
Correct |
27 ms |
4188 KB |
Output is correct |
33 |
Correct |
26 ms |
4188 KB |
Output is correct |
34 |
Correct |
26 ms |
4188 KB |
Output is correct |
35 |
Correct |
26 ms |
4184 KB |
Output is correct |
36 |
Correct |
35 ms |
4444 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1372 KB |
Output is correct |
2 |
Correct |
2 ms |
1372 KB |
Output is correct |
3 |
Correct |
1 ms |
1116 KB |
Output is correct |
4 |
Correct |
2 ms |
1368 KB |
Output is correct |
5 |
Correct |
3 ms |
1624 KB |
Output is correct |
6 |
Correct |
2 ms |
1368 KB |
Output is correct |
7 |
Correct |
2 ms |
1372 KB |
Output is correct |
8 |
Correct |
3 ms |
1628 KB |
Output is correct |
9 |
Correct |
3 ms |
1372 KB |
Output is correct |
10 |
Correct |
8 ms |
2140 KB |
Output is correct |
11 |
Correct |
8 ms |
2148 KB |
Output is correct |
12 |
Correct |
9 ms |
2140 KB |
Output is correct |
13 |
Correct |
8 ms |
2064 KB |
Output is correct |
14 |
Correct |
8 ms |
1880 KB |
Output is correct |
15 |
Correct |
8 ms |
1884 KB |
Output is correct |
16 |
Correct |
8 ms |
2140 KB |
Output is correct |
17 |
Correct |
5 ms |
1628 KB |
Output is correct |
18 |
Correct |
7 ms |
1996 KB |
Output is correct |
19 |
Correct |
8 ms |
1824 KB |
Output is correct |
20 |
Correct |
9 ms |
2036 KB |
Output is correct |
21 |
Correct |
22 ms |
3164 KB |
Output is correct |
22 |
Correct |
20 ms |
3416 KB |
Output is correct |
23 |
Correct |
14 ms |
2652 KB |
Output is correct |
24 |
Correct |
26 ms |
4176 KB |
Output is correct |
25 |
Correct |
26 ms |
4184 KB |
Output is correct |
26 |
Correct |
27 ms |
4444 KB |
Output is correct |
27 |
Correct |
27 ms |
4324 KB |
Output is correct |
28 |
Correct |
28 ms |
4316 KB |
Output is correct |
29 |
Correct |
26 ms |
4184 KB |
Output is correct |
30 |
Correct |
26 ms |
4184 KB |
Output is correct |
31 |
Correct |
28 ms |
4572 KB |
Output is correct |
32 |
Correct |
27 ms |
4188 KB |
Output is correct |
33 |
Correct |
26 ms |
4188 KB |
Output is correct |
34 |
Correct |
26 ms |
4188 KB |
Output is correct |
35 |
Correct |
26 ms |
4184 KB |
Output is correct |
36 |
Correct |
35 ms |
4444 KB |
Output is correct |
37 |
Correct |
56 ms |
7628 KB |
Output is correct |
38 |
Correct |
61 ms |
8016 KB |
Output is correct |
39 |
Correct |
65 ms |
8792 KB |
Output is correct |
40 |
Correct |
78 ms |
10272 KB |
Output is correct |
41 |
Correct |
73 ms |
9500 KB |
Output is correct |
42 |
Correct |
73 ms |
9652 KB |
Output is correct |
43 |
Correct |
82 ms |
9988 KB |
Output is correct |
44 |
Correct |
77 ms |
10064 KB |
Output is correct |
45 |
Correct |
79 ms |
10184 KB |
Output is correct |
46 |
Correct |
69 ms |
9496 KB |
Output is correct |
47 |
Correct |
72 ms |
9552 KB |
Output is correct |
48 |
Correct |
75 ms |
9808 KB |
Output is correct |
49 |
Correct |
68 ms |
8904 KB |
Output is correct |
50 |
Correct |
73 ms |
9652 KB |
Output is correct |
51 |
Correct |
65 ms |
8888 KB |
Output is correct |
52 |
Correct |
87 ms |
10836 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1372 KB |
Output is correct |
2 |
Correct |
2 ms |
1372 KB |
Output is correct |
3 |
Correct |
1 ms |
1116 KB |
Output is correct |
4 |
Correct |
2 ms |
1368 KB |
Output is correct |
5 |
Correct |
3 ms |
1624 KB |
Output is correct |
6 |
Correct |
2 ms |
1368 KB |
Output is correct |
7 |
Correct |
2 ms |
1372 KB |
Output is correct |
8 |
Correct |
3 ms |
1628 KB |
Output is correct |
9 |
Correct |
3 ms |
1372 KB |
Output is correct |
10 |
Correct |
8 ms |
2140 KB |
Output is correct |
11 |
Correct |
8 ms |
2148 KB |
Output is correct |
12 |
Correct |
9 ms |
2140 KB |
Output is correct |
13 |
Correct |
8 ms |
2064 KB |
Output is correct |
14 |
Correct |
8 ms |
1880 KB |
Output is correct |
15 |
Correct |
8 ms |
1884 KB |
Output is correct |
16 |
Correct |
8 ms |
2140 KB |
Output is correct |
17 |
Correct |
5 ms |
1628 KB |
Output is correct |
18 |
Correct |
7 ms |
1996 KB |
Output is correct |
19 |
Correct |
8 ms |
1824 KB |
Output is correct |
20 |
Correct |
9 ms |
2036 KB |
Output is correct |
21 |
Correct |
22 ms |
3164 KB |
Output is correct |
22 |
Correct |
20 ms |
3416 KB |
Output is correct |
23 |
Correct |
14 ms |
2652 KB |
Output is correct |
24 |
Correct |
26 ms |
4176 KB |
Output is correct |
25 |
Correct |
26 ms |
4184 KB |
Output is correct |
26 |
Correct |
27 ms |
4444 KB |
Output is correct |
27 |
Correct |
27 ms |
4324 KB |
Output is correct |
28 |
Correct |
28 ms |
4316 KB |
Output is correct |
29 |
Correct |
26 ms |
4184 KB |
Output is correct |
30 |
Correct |
26 ms |
4184 KB |
Output is correct |
31 |
Correct |
28 ms |
4572 KB |
Output is correct |
32 |
Correct |
27 ms |
4188 KB |
Output is correct |
33 |
Correct |
26 ms |
4188 KB |
Output is correct |
34 |
Correct |
26 ms |
4188 KB |
Output is correct |
35 |
Correct |
26 ms |
4184 KB |
Output is correct |
36 |
Correct |
35 ms |
4444 KB |
Output is correct |
37 |
Correct |
56 ms |
7628 KB |
Output is correct |
38 |
Correct |
61 ms |
8016 KB |
Output is correct |
39 |
Correct |
65 ms |
8792 KB |
Output is correct |
40 |
Correct |
78 ms |
10272 KB |
Output is correct |
41 |
Correct |
73 ms |
9500 KB |
Output is correct |
42 |
Correct |
73 ms |
9652 KB |
Output is correct |
43 |
Correct |
82 ms |
9988 KB |
Output is correct |
44 |
Correct |
77 ms |
10064 KB |
Output is correct |
45 |
Correct |
79 ms |
10184 KB |
Output is correct |
46 |
Correct |
69 ms |
9496 KB |
Output is correct |
47 |
Correct |
72 ms |
9552 KB |
Output is correct |
48 |
Correct |
75 ms |
9808 KB |
Output is correct |
49 |
Correct |
68 ms |
8904 KB |
Output is correct |
50 |
Correct |
73 ms |
9652 KB |
Output is correct |
51 |
Correct |
65 ms |
8888 KB |
Output is correct |
52 |
Correct |
87 ms |
10836 KB |
Output is correct |
53 |
Correct |
92 ms |
11460 KB |
Output is correct |
54 |
Correct |
109 ms |
13396 KB |
Output is correct |
55 |
Correct |
127 ms |
14416 KB |
Output is correct |
56 |
Correct |
96 ms |
11888 KB |
Output is correct |
57 |
Correct |
127 ms |
14508 KB |
Output is correct |
58 |
Correct |
111 ms |
13396 KB |
Output is correct |
59 |
Correct |
116 ms |
13748 KB |
Output is correct |
60 |
Correct |
91 ms |
11944 KB |
Output is correct |
61 |
Correct |
125 ms |
13996 KB |
Output is correct |
62 |
Correct |
113 ms |
13344 KB |
Output is correct |
63 |
Correct |
114 ms |
13396 KB |
Output is correct |
64 |
Correct |
113 ms |
13324 KB |
Output is correct |
65 |
Correct |
81 ms |
10840 KB |
Output is correct |
66 |
Correct |
82 ms |
11000 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1372 KB |
Output is correct |
2 |
Correct |
2 ms |
1372 KB |
Output is correct |
3 |
Correct |
1 ms |
1116 KB |
Output is correct |
4 |
Correct |
2 ms |
1368 KB |
Output is correct |
5 |
Correct |
3 ms |
1624 KB |
Output is correct |
6 |
Correct |
2 ms |
1368 KB |
Output is correct |
7 |
Correct |
2 ms |
1372 KB |
Output is correct |
8 |
Correct |
3 ms |
1628 KB |
Output is correct |
9 |
Correct |
3 ms |
1372 KB |
Output is correct |
10 |
Correct |
8 ms |
2140 KB |
Output is correct |
11 |
Correct |
8 ms |
2148 KB |
Output is correct |
12 |
Correct |
9 ms |
2140 KB |
Output is correct |
13 |
Correct |
8 ms |
2064 KB |
Output is correct |
14 |
Correct |
8 ms |
1880 KB |
Output is correct |
15 |
Correct |
8 ms |
1884 KB |
Output is correct |
16 |
Correct |
8 ms |
2140 KB |
Output is correct |
17 |
Correct |
5 ms |
1628 KB |
Output is correct |
18 |
Correct |
7 ms |
1996 KB |
Output is correct |
19 |
Correct |
8 ms |
1824 KB |
Output is correct |
20 |
Correct |
9 ms |
2036 KB |
Output is correct |
21 |
Correct |
22 ms |
3164 KB |
Output is correct |
22 |
Correct |
20 ms |
3416 KB |
Output is correct |
23 |
Correct |
14 ms |
2652 KB |
Output is correct |
24 |
Correct |
26 ms |
4176 KB |
Output is correct |
25 |
Correct |
26 ms |
4184 KB |
Output is correct |
26 |
Correct |
27 ms |
4444 KB |
Output is correct |
27 |
Correct |
27 ms |
4324 KB |
Output is correct |
28 |
Correct |
28 ms |
4316 KB |
Output is correct |
29 |
Correct |
26 ms |
4184 KB |
Output is correct |
30 |
Correct |
26 ms |
4184 KB |
Output is correct |
31 |
Correct |
28 ms |
4572 KB |
Output is correct |
32 |
Correct |
27 ms |
4188 KB |
Output is correct |
33 |
Correct |
26 ms |
4188 KB |
Output is correct |
34 |
Correct |
26 ms |
4188 KB |
Output is correct |
35 |
Correct |
26 ms |
4184 KB |
Output is correct |
36 |
Correct |
35 ms |
4444 KB |
Output is correct |
37 |
Correct |
56 ms |
7628 KB |
Output is correct |
38 |
Correct |
61 ms |
8016 KB |
Output is correct |
39 |
Correct |
65 ms |
8792 KB |
Output is correct |
40 |
Correct |
78 ms |
10272 KB |
Output is correct |
41 |
Correct |
73 ms |
9500 KB |
Output is correct |
42 |
Correct |
73 ms |
9652 KB |
Output is correct |
43 |
Correct |
82 ms |
9988 KB |
Output is correct |
44 |
Correct |
77 ms |
10064 KB |
Output is correct |
45 |
Correct |
79 ms |
10184 KB |
Output is correct |
46 |
Correct |
69 ms |
9496 KB |
Output is correct |
47 |
Correct |
72 ms |
9552 KB |
Output is correct |
48 |
Correct |
75 ms |
9808 KB |
Output is correct |
49 |
Correct |
68 ms |
8904 KB |
Output is correct |
50 |
Correct |
73 ms |
9652 KB |
Output is correct |
51 |
Correct |
65 ms |
8888 KB |
Output is correct |
52 |
Correct |
87 ms |
10836 KB |
Output is correct |
53 |
Correct |
92 ms |
11460 KB |
Output is correct |
54 |
Correct |
109 ms |
13396 KB |
Output is correct |
55 |
Correct |
127 ms |
14416 KB |
Output is correct |
56 |
Correct |
96 ms |
11888 KB |
Output is correct |
57 |
Correct |
127 ms |
14508 KB |
Output is correct |
58 |
Correct |
111 ms |
13396 KB |
Output is correct |
59 |
Correct |
116 ms |
13748 KB |
Output is correct |
60 |
Correct |
91 ms |
11944 KB |
Output is correct |
61 |
Correct |
125 ms |
13996 KB |
Output is correct |
62 |
Correct |
113 ms |
13344 KB |
Output is correct |
63 |
Correct |
114 ms |
13396 KB |
Output is correct |
64 |
Correct |
113 ms |
13324 KB |
Output is correct |
65 |
Correct |
81 ms |
10840 KB |
Output is correct |
66 |
Correct |
82 ms |
11000 KB |
Output is correct |
67 |
Correct |
135 ms |
15528 KB |
Output is correct |
68 |
Correct |
123 ms |
16476 KB |
Output is correct |
69 |
Correct |
253 ms |
21780 KB |
Output is correct |
70 |
Correct |
194 ms |
19800 KB |
Output is correct |
71 |
Correct |
197 ms |
19608 KB |
Output is correct |
72 |
Correct |
125 ms |
16536 KB |
Output is correct |
73 |
Correct |
126 ms |
16508 KB |
Output is correct |
74 |
Correct |
255 ms |
22268 KB |
Output is correct |
75 |
Correct |
214 ms |
20820 KB |
Output is correct |
76 |
Correct |
248 ms |
21904 KB |
Output is correct |
77 |
Correct |
255 ms |
22500 KB |
Output is correct |