#include <iostream>
#include <bitset>
using namespace std;
const int siz = 250001;
int main() {
cin.tie(0);
ios_base::sync_with_stdio(0);
int n;
cin >> n;
int raw [n];
for (int i = 0; i < n; i++) cin >> raw[i];
bitset<siz> check(0);
check[0] = 1;
int checkSum = 0;
for (int i = 0; i < n; i++) {
check |= check<<raw[i];
checkSum += raw[i];
}
if (checkSum%2 == 1 or check[checkSum/2] == 0) {
cout << 0;
return 0;
}
bitset<siz> startToEnd [n];
startToEnd[0] = bitset<siz>(0);
startToEnd[0][0] = 1;
for (int i = 1; i < n; i++) {
startToEnd[i] = startToEnd[i-1]|(startToEnd[i-1]<<raw[i-1]);
}
bitset<siz> endToStart [n];
endToStart[n-1] = bitset<siz>(0);
endToStart[n-1][0] = 1;
for (int i = n-2; i >= 0; i--) {
endToStart[i] = endToStart[i+1]|(endToStart[i+1]<<raw[i+1]);
}
bitset<siz> even;
bitset<siz> uneven;
even.set();
uneven.set();
even[0] = 0;
bool evenKilled = false;
bool unevenKilled = false;
bitset<siz> cur;
int locSum;
for (int i = 0; i < n; i++) {
if (i > n/2) {
cur = startToEnd[i];
for (int j = i+1; j < n; j++) cur |= cur<<raw[j];
}
else {
cur = endToStart[i];
for (int j = i-1; j >= 0; j--) cur |= cur<<raw[j];
}
locSum = checkSum-raw[i];
if (locSum%2 == 0) {
even &= cur>>(locSum/2);
if (!unevenKilled) {
uneven &= 0;
unevenKilled = true;
}
}
else {
uneven &= cur>>(locSum/2+1);
if (!evenKilled) {
even &= 0;
evenKilled = true;
}
}
}
cout << even.count()+uneven.count() << endl;
for (int i = 0; i < siz; i++) {
if (even[i]) cout << i*2 << " ";
if (uneven[i]) cout << i*2+1 << " ";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
716 KB |
Output is correct |
2 |
Correct |
2 ms |
844 KB |
Output is correct |
3 |
Correct |
1 ms |
460 KB |
Output is correct |
4 |
Correct |
1 ms |
716 KB |
Output is correct |
5 |
Correct |
2 ms |
1100 KB |
Output is correct |
6 |
Correct |
2 ms |
972 KB |
Output is correct |
7 |
Correct |
2 ms |
844 KB |
Output is correct |
8 |
Correct |
3 ms |
1228 KB |
Output is correct |
9 |
Correct |
3 ms |
1100 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
716 KB |
Output is correct |
2 |
Correct |
2 ms |
844 KB |
Output is correct |
3 |
Correct |
1 ms |
460 KB |
Output is correct |
4 |
Correct |
1 ms |
716 KB |
Output is correct |
5 |
Correct |
2 ms |
1100 KB |
Output is correct |
6 |
Correct |
2 ms |
972 KB |
Output is correct |
7 |
Correct |
2 ms |
844 KB |
Output is correct |
8 |
Correct |
3 ms |
1228 KB |
Output is correct |
9 |
Correct |
3 ms |
1100 KB |
Output is correct |
10 |
Correct |
5 ms |
2320 KB |
Output is correct |
11 |
Correct |
5 ms |
2252 KB |
Output is correct |
12 |
Correct |
5 ms |
2252 KB |
Output is correct |
13 |
Correct |
4 ms |
1996 KB |
Output is correct |
14 |
Correct |
5 ms |
2200 KB |
Output is correct |
15 |
Correct |
5 ms |
2124 KB |
Output is correct |
16 |
Correct |
6 ms |
2380 KB |
Output is correct |
17 |
Correct |
3 ms |
1484 KB |
Output is correct |
18 |
Correct |
4 ms |
1868 KB |
Output is correct |
19 |
Correct |
4 ms |
1996 KB |
Output is correct |
20 |
Correct |
5 ms |
2252 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
716 KB |
Output is correct |
2 |
Correct |
2 ms |
844 KB |
Output is correct |
3 |
Correct |
1 ms |
460 KB |
Output is correct |
4 |
Correct |
1 ms |
716 KB |
Output is correct |
5 |
Correct |
2 ms |
1100 KB |
Output is correct |
6 |
Correct |
2 ms |
972 KB |
Output is correct |
7 |
Correct |
2 ms |
844 KB |
Output is correct |
8 |
Correct |
3 ms |
1228 KB |
Output is correct |
9 |
Correct |
3 ms |
1100 KB |
Output is correct |
10 |
Correct |
5 ms |
2320 KB |
Output is correct |
11 |
Correct |
5 ms |
2252 KB |
Output is correct |
12 |
Correct |
5 ms |
2252 KB |
Output is correct |
13 |
Correct |
4 ms |
1996 KB |
Output is correct |
14 |
Correct |
5 ms |
2200 KB |
Output is correct |
15 |
Correct |
5 ms |
2124 KB |
Output is correct |
16 |
Correct |
6 ms |
2380 KB |
Output is correct |
17 |
Correct |
3 ms |
1484 KB |
Output is correct |
18 |
Correct |
4 ms |
1868 KB |
Output is correct |
19 |
Correct |
4 ms |
1996 KB |
Output is correct |
20 |
Correct |
5 ms |
2252 KB |
Output is correct |
21 |
Correct |
15 ms |
4400 KB |
Output is correct |
22 |
Correct |
20 ms |
5024 KB |
Output is correct |
23 |
Correct |
10 ms |
3504 KB |
Output is correct |
24 |
Correct |
29 ms |
6232 KB |
Output is correct |
25 |
Correct |
27 ms |
6228 KB |
Output is correct |
26 |
Correct |
31 ms |
6596 KB |
Output is correct |
27 |
Correct |
36 ms |
6596 KB |
Output is correct |
28 |
Correct |
30 ms |
6596 KB |
Output is correct |
29 |
Correct |
34 ms |
6476 KB |
Output is correct |
30 |
Correct |
29 ms |
6476 KB |
Output is correct |
31 |
Correct |
30 ms |
6604 KB |
Output is correct |
32 |
Correct |
33 ms |
6584 KB |
Output is correct |
33 |
Correct |
30 ms |
6604 KB |
Output is correct |
34 |
Correct |
30 ms |
6504 KB |
Output is correct |
35 |
Correct |
31 ms |
6476 KB |
Output is correct |
36 |
Correct |
30 ms |
6596 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
716 KB |
Output is correct |
2 |
Correct |
2 ms |
844 KB |
Output is correct |
3 |
Correct |
1 ms |
460 KB |
Output is correct |
4 |
Correct |
1 ms |
716 KB |
Output is correct |
5 |
Correct |
2 ms |
1100 KB |
Output is correct |
6 |
Correct |
2 ms |
972 KB |
Output is correct |
7 |
Correct |
2 ms |
844 KB |
Output is correct |
8 |
Correct |
3 ms |
1228 KB |
Output is correct |
9 |
Correct |
3 ms |
1100 KB |
Output is correct |
10 |
Correct |
5 ms |
2320 KB |
Output is correct |
11 |
Correct |
5 ms |
2252 KB |
Output is correct |
12 |
Correct |
5 ms |
2252 KB |
Output is correct |
13 |
Correct |
4 ms |
1996 KB |
Output is correct |
14 |
Correct |
5 ms |
2200 KB |
Output is correct |
15 |
Correct |
5 ms |
2124 KB |
Output is correct |
16 |
Correct |
6 ms |
2380 KB |
Output is correct |
17 |
Correct |
3 ms |
1484 KB |
Output is correct |
18 |
Correct |
4 ms |
1868 KB |
Output is correct |
19 |
Correct |
4 ms |
1996 KB |
Output is correct |
20 |
Correct |
5 ms |
2252 KB |
Output is correct |
21 |
Correct |
15 ms |
4400 KB |
Output is correct |
22 |
Correct |
20 ms |
5024 KB |
Output is correct |
23 |
Correct |
10 ms |
3504 KB |
Output is correct |
24 |
Correct |
29 ms |
6232 KB |
Output is correct |
25 |
Correct |
27 ms |
6228 KB |
Output is correct |
26 |
Correct |
31 ms |
6596 KB |
Output is correct |
27 |
Correct |
36 ms |
6596 KB |
Output is correct |
28 |
Correct |
30 ms |
6596 KB |
Output is correct |
29 |
Correct |
34 ms |
6476 KB |
Output is correct |
30 |
Correct |
29 ms |
6476 KB |
Output is correct |
31 |
Correct |
30 ms |
6604 KB |
Output is correct |
32 |
Correct |
33 ms |
6584 KB |
Output is correct |
33 |
Correct |
30 ms |
6604 KB |
Output is correct |
34 |
Correct |
30 ms |
6504 KB |
Output is correct |
35 |
Correct |
31 ms |
6476 KB |
Output is correct |
36 |
Correct |
30 ms |
6596 KB |
Output is correct |
37 |
Correct |
103 ms |
12700 KB |
Output is correct |
38 |
Correct |
107 ms |
12716 KB |
Output is correct |
39 |
Correct |
167 ms |
15640 KB |
Output is correct |
40 |
Correct |
178 ms |
16996 KB |
Output is correct |
41 |
Correct |
179 ms |
16980 KB |
Output is correct |
42 |
Correct |
156 ms |
15812 KB |
Output is correct |
43 |
Correct |
150 ms |
15520 KB |
Output is correct |
44 |
Correct |
152 ms |
15684 KB |
Output is correct |
45 |
Correct |
158 ms |
15904 KB |
Output is correct |
46 |
Correct |
177 ms |
16984 KB |
Output is correct |
47 |
Correct |
155 ms |
15764 KB |
Output is correct |
48 |
Correct |
160 ms |
15812 KB |
Output is correct |
49 |
Correct |
157 ms |
15760 KB |
Output is correct |
50 |
Correct |
163 ms |
15756 KB |
Output is correct |
51 |
Correct |
4 ms |
460 KB |
Output is correct |
52 |
Correct |
180 ms |
17124 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
716 KB |
Output is correct |
2 |
Correct |
2 ms |
844 KB |
Output is correct |
3 |
Correct |
1 ms |
460 KB |
Output is correct |
4 |
Correct |
1 ms |
716 KB |
Output is correct |
5 |
Correct |
2 ms |
1100 KB |
Output is correct |
6 |
Correct |
2 ms |
972 KB |
Output is correct |
7 |
Correct |
2 ms |
844 KB |
Output is correct |
8 |
Correct |
3 ms |
1228 KB |
Output is correct |
9 |
Correct |
3 ms |
1100 KB |
Output is correct |
10 |
Correct |
5 ms |
2320 KB |
Output is correct |
11 |
Correct |
5 ms |
2252 KB |
Output is correct |
12 |
Correct |
5 ms |
2252 KB |
Output is correct |
13 |
Correct |
4 ms |
1996 KB |
Output is correct |
14 |
Correct |
5 ms |
2200 KB |
Output is correct |
15 |
Correct |
5 ms |
2124 KB |
Output is correct |
16 |
Correct |
6 ms |
2380 KB |
Output is correct |
17 |
Correct |
3 ms |
1484 KB |
Output is correct |
18 |
Correct |
4 ms |
1868 KB |
Output is correct |
19 |
Correct |
4 ms |
1996 KB |
Output is correct |
20 |
Correct |
5 ms |
2252 KB |
Output is correct |
21 |
Correct |
15 ms |
4400 KB |
Output is correct |
22 |
Correct |
20 ms |
5024 KB |
Output is correct |
23 |
Correct |
10 ms |
3504 KB |
Output is correct |
24 |
Correct |
29 ms |
6232 KB |
Output is correct |
25 |
Correct |
27 ms |
6228 KB |
Output is correct |
26 |
Correct |
31 ms |
6596 KB |
Output is correct |
27 |
Correct |
36 ms |
6596 KB |
Output is correct |
28 |
Correct |
30 ms |
6596 KB |
Output is correct |
29 |
Correct |
34 ms |
6476 KB |
Output is correct |
30 |
Correct |
29 ms |
6476 KB |
Output is correct |
31 |
Correct |
30 ms |
6604 KB |
Output is correct |
32 |
Correct |
33 ms |
6584 KB |
Output is correct |
33 |
Correct |
30 ms |
6604 KB |
Output is correct |
34 |
Correct |
30 ms |
6504 KB |
Output is correct |
35 |
Correct |
31 ms |
6476 KB |
Output is correct |
36 |
Correct |
30 ms |
6596 KB |
Output is correct |
37 |
Correct |
103 ms |
12700 KB |
Output is correct |
38 |
Correct |
107 ms |
12716 KB |
Output is correct |
39 |
Correct |
167 ms |
15640 KB |
Output is correct |
40 |
Correct |
178 ms |
16996 KB |
Output is correct |
41 |
Correct |
179 ms |
16980 KB |
Output is correct |
42 |
Correct |
156 ms |
15812 KB |
Output is correct |
43 |
Correct |
150 ms |
15520 KB |
Output is correct |
44 |
Correct |
152 ms |
15684 KB |
Output is correct |
45 |
Correct |
158 ms |
15904 KB |
Output is correct |
46 |
Correct |
177 ms |
16984 KB |
Output is correct |
47 |
Correct |
155 ms |
15764 KB |
Output is correct |
48 |
Correct |
160 ms |
15812 KB |
Output is correct |
49 |
Correct |
157 ms |
15760 KB |
Output is correct |
50 |
Correct |
163 ms |
15756 KB |
Output is correct |
51 |
Correct |
4 ms |
460 KB |
Output is correct |
52 |
Correct |
180 ms |
17124 KB |
Output is correct |
53 |
Correct |
217 ms |
18960 KB |
Output is correct |
54 |
Correct |
308 ms |
22084 KB |
Output is correct |
55 |
Correct |
311 ms |
22136 KB |
Output is correct |
56 |
Correct |
253 ms |
19268 KB |
Output is correct |
57 |
Correct |
295 ms |
22084 KB |
Output is correct |
58 |
Correct |
292 ms |
22020 KB |
Output is correct |
59 |
Correct |
312 ms |
22004 KB |
Output is correct |
60 |
Correct |
4 ms |
460 KB |
Output is correct |
61 |
Correct |
299 ms |
22004 KB |
Output is correct |
62 |
Correct |
262 ms |
20296 KB |
Output is correct |
63 |
Correct |
270 ms |
20392 KB |
Output is correct |
64 |
Correct |
244 ms |
19924 KB |
Output is correct |
65 |
Correct |
271 ms |
19796 KB |
Output is correct |
66 |
Correct |
235 ms |
19432 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
716 KB |
Output is correct |
2 |
Correct |
2 ms |
844 KB |
Output is correct |
3 |
Correct |
1 ms |
460 KB |
Output is correct |
4 |
Correct |
1 ms |
716 KB |
Output is correct |
5 |
Correct |
2 ms |
1100 KB |
Output is correct |
6 |
Correct |
2 ms |
972 KB |
Output is correct |
7 |
Correct |
2 ms |
844 KB |
Output is correct |
8 |
Correct |
3 ms |
1228 KB |
Output is correct |
9 |
Correct |
3 ms |
1100 KB |
Output is correct |
10 |
Correct |
5 ms |
2320 KB |
Output is correct |
11 |
Correct |
5 ms |
2252 KB |
Output is correct |
12 |
Correct |
5 ms |
2252 KB |
Output is correct |
13 |
Correct |
4 ms |
1996 KB |
Output is correct |
14 |
Correct |
5 ms |
2200 KB |
Output is correct |
15 |
Correct |
5 ms |
2124 KB |
Output is correct |
16 |
Correct |
6 ms |
2380 KB |
Output is correct |
17 |
Correct |
3 ms |
1484 KB |
Output is correct |
18 |
Correct |
4 ms |
1868 KB |
Output is correct |
19 |
Correct |
4 ms |
1996 KB |
Output is correct |
20 |
Correct |
5 ms |
2252 KB |
Output is correct |
21 |
Correct |
15 ms |
4400 KB |
Output is correct |
22 |
Correct |
20 ms |
5024 KB |
Output is correct |
23 |
Correct |
10 ms |
3504 KB |
Output is correct |
24 |
Correct |
29 ms |
6232 KB |
Output is correct |
25 |
Correct |
27 ms |
6228 KB |
Output is correct |
26 |
Correct |
31 ms |
6596 KB |
Output is correct |
27 |
Correct |
36 ms |
6596 KB |
Output is correct |
28 |
Correct |
30 ms |
6596 KB |
Output is correct |
29 |
Correct |
34 ms |
6476 KB |
Output is correct |
30 |
Correct |
29 ms |
6476 KB |
Output is correct |
31 |
Correct |
30 ms |
6604 KB |
Output is correct |
32 |
Correct |
33 ms |
6584 KB |
Output is correct |
33 |
Correct |
30 ms |
6604 KB |
Output is correct |
34 |
Correct |
30 ms |
6504 KB |
Output is correct |
35 |
Correct |
31 ms |
6476 KB |
Output is correct |
36 |
Correct |
30 ms |
6596 KB |
Output is correct |
37 |
Correct |
103 ms |
12700 KB |
Output is correct |
38 |
Correct |
107 ms |
12716 KB |
Output is correct |
39 |
Correct |
167 ms |
15640 KB |
Output is correct |
40 |
Correct |
178 ms |
16996 KB |
Output is correct |
41 |
Correct |
179 ms |
16980 KB |
Output is correct |
42 |
Correct |
156 ms |
15812 KB |
Output is correct |
43 |
Correct |
150 ms |
15520 KB |
Output is correct |
44 |
Correct |
152 ms |
15684 KB |
Output is correct |
45 |
Correct |
158 ms |
15904 KB |
Output is correct |
46 |
Correct |
177 ms |
16984 KB |
Output is correct |
47 |
Correct |
155 ms |
15764 KB |
Output is correct |
48 |
Correct |
160 ms |
15812 KB |
Output is correct |
49 |
Correct |
157 ms |
15760 KB |
Output is correct |
50 |
Correct |
163 ms |
15756 KB |
Output is correct |
51 |
Correct |
4 ms |
460 KB |
Output is correct |
52 |
Correct |
180 ms |
17124 KB |
Output is correct |
53 |
Correct |
217 ms |
18960 KB |
Output is correct |
54 |
Correct |
308 ms |
22084 KB |
Output is correct |
55 |
Correct |
311 ms |
22136 KB |
Output is correct |
56 |
Correct |
253 ms |
19268 KB |
Output is correct |
57 |
Correct |
295 ms |
22084 KB |
Output is correct |
58 |
Correct |
292 ms |
22020 KB |
Output is correct |
59 |
Correct |
312 ms |
22004 KB |
Output is correct |
60 |
Correct |
4 ms |
460 KB |
Output is correct |
61 |
Correct |
299 ms |
22004 KB |
Output is correct |
62 |
Correct |
262 ms |
20296 KB |
Output is correct |
63 |
Correct |
270 ms |
20392 KB |
Output is correct |
64 |
Correct |
244 ms |
19924 KB |
Output is correct |
65 |
Correct |
271 ms |
19796 KB |
Output is correct |
66 |
Correct |
235 ms |
19432 KB |
Output is correct |
67 |
Correct |
391 ms |
25064 KB |
Output is correct |
68 |
Correct |
5 ms |
460 KB |
Output is correct |
69 |
Correct |
586 ms |
31692 KB |
Output is correct |
70 |
Correct |
634 ms |
31556 KB |
Output is correct |
71 |
Correct |
627 ms |
31312 KB |
Output is correct |
72 |
Correct |
568 ms |
31072 KB |
Output is correct |
73 |
Correct |
570 ms |
30992 KB |
Output is correct |
74 |
Correct |
583 ms |
31568 KB |
Output is correct |
75 |
Correct |
575 ms |
31432 KB |
Output is correct |
76 |
Correct |
606 ms |
31772 KB |
Output is correct |
77 |
Correct |
593 ms |
31692 KB |
Output is correct |