//#pragma GCC optimize("O3")
//#pragma GCC target("avx2")
#include <iostream>
#include <vector>
#include <string>
#include <algorithm>
#include <map>
#include <set>
#include <queue>
#include <unordered_map>
#include <bitset>
using namespace std;
#define fastInp cin.tie(0); cout.tie(0); ios_base::sync_with_stdio(0);
typedef long long ll;
typedef long double ld;
#define int ll
const ll INF = 1e9, SZ = 510 * 510, SZ2 = 510;
ll n;
vector<ll> vec;
bitset<SZ> bts;
bitset<SZ> pref[SZ2], suf[SZ2], un[SZ2];
vector<ll> svd[SZ2 * 4];
bitset<SZ> cur[SZ2 * 4];
void psh(int v, int l, int r, int askl, int askr, int val) {
if (askr <= askl) return;
if (l >= askr || r <= askl) return;
if (askl <= l && r <= askr) {
svd[v].push_back(val);
return;
}
int mid = (l + r) / 2;
psh(v * 2 + 1, l, mid, askl, askr, val);
psh(v * 2 + 2, mid, r, askl, askr, val);
}
void build(int v, int l, int r) {
for (auto c : svd[v]) cur[v] |= (cur[v] << c);
if (l == r - 1) {
un[l] = cur[v];
} else {
int mid = (l + r) / 2;
cur[v * 2 + 1] = cur[v];
cur[v * 2 + 2] = cur[v];
build(v * 2 + 1, l, mid);
build(v * 2 + 2, mid, r);
}
}
signed main() {
fastInp;
cin >> n;
vec.resize(n);
for (auto& c : vec) cin >> c;
bts[0] = 1;
ll sm = 0;
pref[0][0] = 1;
for (int i = 1; i <= n; i++) {
psh(0, 0, SZ2, 0, i - 1, vec[i - 1]);
psh(0, 0, SZ2, i, SZ2, vec[i - 1]);
pref[i] = (pref[i - 1] | (pref[i - 1] << vec[i - 1]));
}
suf[n][0] = 1;
for (int i = n - 1; i >= 0; i--) {
suf[i] = (suf[i + 1] | (suf[i + 1] << vec[i]));
}
cur[0][0] = 1;
build(0, 0, SZ2);
/* for (int i = n - 1; i >= 0; i--) {
for (int j = 0; j < SZ; j++) {
if (pref[i][j]) un[i] |= (suf[i + 1] << j);
}
}*/
for (auto c : vec) {
sm += c;
bts |= (bts << c);
}
if (sm % 2) {
cout << "0";
return 0;
}
if (bts[sm / 2] != 1) {
cout << "0";
return 0;
}
vector<ll> ans;
for (int i = 1; i < SZ; i++) {
bool f = 1;
for (int j = 0; j < n; j++) {
ll cursm = sm - vec[j] + i;
if (cursm % 2) {
f = 0;
break;
}
cursm /= 2;
if (i > cursm) {
f = 0;
break;
}
if (!un[j][cursm - i]) {
f = 0;
break;
}
}
if (f) ans.push_back(i);
}
cout << ans.size() << "\n";
for (auto c : ans) cout << c << " ";
return 0;
}
/*
3 4
RGWR
GRGG
RGWW
4 4
RGWR
GRRG
WGGW
WWWR
5 5
RGRGW
GRRGW
WGGWR
RWRGW
RGWGW
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
23 ms |
49860 KB |
Output is correct |
2 |
Correct |
24 ms |
50044 KB |
Output is correct |
3 |
Correct |
22 ms |
49832 KB |
Output is correct |
4 |
Correct |
23 ms |
49920 KB |
Output is correct |
5 |
Correct |
32 ms |
50348 KB |
Output is correct |
6 |
Correct |
24 ms |
50196 KB |
Output is correct |
7 |
Correct |
26 ms |
49996 KB |
Output is correct |
8 |
Correct |
25 ms |
50428 KB |
Output is correct |
9 |
Correct |
26 ms |
50264 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
23 ms |
49860 KB |
Output is correct |
2 |
Correct |
24 ms |
50044 KB |
Output is correct |
3 |
Correct |
22 ms |
49832 KB |
Output is correct |
4 |
Correct |
23 ms |
49920 KB |
Output is correct |
5 |
Correct |
32 ms |
50348 KB |
Output is correct |
6 |
Correct |
24 ms |
50196 KB |
Output is correct |
7 |
Correct |
26 ms |
49996 KB |
Output is correct |
8 |
Correct |
25 ms |
50428 KB |
Output is correct |
9 |
Correct |
26 ms |
50264 KB |
Output is correct |
10 |
Correct |
30 ms |
51592 KB |
Output is correct |
11 |
Correct |
28 ms |
51568 KB |
Output is correct |
12 |
Correct |
28 ms |
51532 KB |
Output is correct |
13 |
Correct |
27 ms |
51200 KB |
Output is correct |
14 |
Correct |
28 ms |
51352 KB |
Output is correct |
15 |
Correct |
27 ms |
51384 KB |
Output is correct |
16 |
Correct |
28 ms |
51520 KB |
Output is correct |
17 |
Correct |
26 ms |
50764 KB |
Output is correct |
18 |
Correct |
26 ms |
51176 KB |
Output is correct |
19 |
Correct |
27 ms |
51276 KB |
Output is correct |
20 |
Correct |
27 ms |
51508 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
23 ms |
49860 KB |
Output is correct |
2 |
Correct |
24 ms |
50044 KB |
Output is correct |
3 |
Correct |
22 ms |
49832 KB |
Output is correct |
4 |
Correct |
23 ms |
49920 KB |
Output is correct |
5 |
Correct |
32 ms |
50348 KB |
Output is correct |
6 |
Correct |
24 ms |
50196 KB |
Output is correct |
7 |
Correct |
26 ms |
49996 KB |
Output is correct |
8 |
Correct |
25 ms |
50428 KB |
Output is correct |
9 |
Correct |
26 ms |
50264 KB |
Output is correct |
10 |
Correct |
30 ms |
51592 KB |
Output is correct |
11 |
Correct |
28 ms |
51568 KB |
Output is correct |
12 |
Correct |
28 ms |
51532 KB |
Output is correct |
13 |
Correct |
27 ms |
51200 KB |
Output is correct |
14 |
Correct |
28 ms |
51352 KB |
Output is correct |
15 |
Correct |
27 ms |
51384 KB |
Output is correct |
16 |
Correct |
28 ms |
51520 KB |
Output is correct |
17 |
Correct |
26 ms |
50764 KB |
Output is correct |
18 |
Correct |
26 ms |
51176 KB |
Output is correct |
19 |
Correct |
27 ms |
51276 KB |
Output is correct |
20 |
Correct |
27 ms |
51508 KB |
Output is correct |
21 |
Correct |
35 ms |
53812 KB |
Output is correct |
22 |
Correct |
34 ms |
54424 KB |
Output is correct |
23 |
Correct |
31 ms |
52912 KB |
Output is correct |
24 |
Correct |
37 ms |
55756 KB |
Output is correct |
25 |
Correct |
38 ms |
55704 KB |
Output is correct |
26 |
Correct |
39 ms |
56076 KB |
Output is correct |
27 |
Correct |
43 ms |
55992 KB |
Output is correct |
28 |
Correct |
38 ms |
55980 KB |
Output is correct |
29 |
Correct |
38 ms |
55964 KB |
Output is correct |
30 |
Correct |
38 ms |
56008 KB |
Output is correct |
31 |
Correct |
39 ms |
56120 KB |
Output is correct |
32 |
Correct |
39 ms |
55988 KB |
Output is correct |
33 |
Correct |
39 ms |
55992 KB |
Output is correct |
34 |
Correct |
39 ms |
56004 KB |
Output is correct |
35 |
Correct |
38 ms |
55944 KB |
Output is correct |
36 |
Correct |
39 ms |
56112 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
23 ms |
49860 KB |
Output is correct |
2 |
Correct |
24 ms |
50044 KB |
Output is correct |
3 |
Correct |
22 ms |
49832 KB |
Output is correct |
4 |
Correct |
23 ms |
49920 KB |
Output is correct |
5 |
Correct |
32 ms |
50348 KB |
Output is correct |
6 |
Correct |
24 ms |
50196 KB |
Output is correct |
7 |
Correct |
26 ms |
49996 KB |
Output is correct |
8 |
Correct |
25 ms |
50428 KB |
Output is correct |
9 |
Correct |
26 ms |
50264 KB |
Output is correct |
10 |
Correct |
30 ms |
51592 KB |
Output is correct |
11 |
Correct |
28 ms |
51568 KB |
Output is correct |
12 |
Correct |
28 ms |
51532 KB |
Output is correct |
13 |
Correct |
27 ms |
51200 KB |
Output is correct |
14 |
Correct |
28 ms |
51352 KB |
Output is correct |
15 |
Correct |
27 ms |
51384 KB |
Output is correct |
16 |
Correct |
28 ms |
51520 KB |
Output is correct |
17 |
Correct |
26 ms |
50764 KB |
Output is correct |
18 |
Correct |
26 ms |
51176 KB |
Output is correct |
19 |
Correct |
27 ms |
51276 KB |
Output is correct |
20 |
Correct |
27 ms |
51508 KB |
Output is correct |
21 |
Correct |
35 ms |
53812 KB |
Output is correct |
22 |
Correct |
34 ms |
54424 KB |
Output is correct |
23 |
Correct |
31 ms |
52912 KB |
Output is correct |
24 |
Correct |
37 ms |
55756 KB |
Output is correct |
25 |
Correct |
38 ms |
55704 KB |
Output is correct |
26 |
Correct |
39 ms |
56076 KB |
Output is correct |
27 |
Correct |
43 ms |
55992 KB |
Output is correct |
28 |
Correct |
38 ms |
55980 KB |
Output is correct |
29 |
Correct |
38 ms |
55964 KB |
Output is correct |
30 |
Correct |
38 ms |
56008 KB |
Output is correct |
31 |
Correct |
39 ms |
56120 KB |
Output is correct |
32 |
Correct |
39 ms |
55988 KB |
Output is correct |
33 |
Correct |
39 ms |
55992 KB |
Output is correct |
34 |
Correct |
39 ms |
56004 KB |
Output is correct |
35 |
Correct |
38 ms |
55944 KB |
Output is correct |
36 |
Correct |
39 ms |
56112 KB |
Output is correct |
37 |
Correct |
60 ms |
62668 KB |
Output is correct |
38 |
Correct |
61 ms |
62664 KB |
Output is correct |
39 |
Correct |
61 ms |
65384 KB |
Output is correct |
40 |
Correct |
78 ms |
67144 KB |
Output is correct |
41 |
Correct |
62 ms |
66764 KB |
Output is correct |
42 |
Correct |
73 ms |
66056 KB |
Output is correct |
43 |
Correct |
82 ms |
65608 KB |
Output is correct |
44 |
Correct |
87 ms |
65872 KB |
Output is correct |
45 |
Correct |
86 ms |
66000 KB |
Output is correct |
46 |
Correct |
67 ms |
66772 KB |
Output is correct |
47 |
Correct |
74 ms |
65860 KB |
Output is correct |
48 |
Correct |
77 ms |
65936 KB |
Output is correct |
49 |
Correct |
65 ms |
65632 KB |
Output is correct |
50 |
Correct |
76 ms |
65880 KB |
Output is correct |
51 |
Correct |
60 ms |
65740 KB |
Output is correct |
52 |
Correct |
92 ms |
67352 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
23 ms |
49860 KB |
Output is correct |
2 |
Correct |
24 ms |
50044 KB |
Output is correct |
3 |
Correct |
22 ms |
49832 KB |
Output is correct |
4 |
Correct |
23 ms |
49920 KB |
Output is correct |
5 |
Correct |
32 ms |
50348 KB |
Output is correct |
6 |
Correct |
24 ms |
50196 KB |
Output is correct |
7 |
Correct |
26 ms |
49996 KB |
Output is correct |
8 |
Correct |
25 ms |
50428 KB |
Output is correct |
9 |
Correct |
26 ms |
50264 KB |
Output is correct |
10 |
Correct |
30 ms |
51592 KB |
Output is correct |
11 |
Correct |
28 ms |
51568 KB |
Output is correct |
12 |
Correct |
28 ms |
51532 KB |
Output is correct |
13 |
Correct |
27 ms |
51200 KB |
Output is correct |
14 |
Correct |
28 ms |
51352 KB |
Output is correct |
15 |
Correct |
27 ms |
51384 KB |
Output is correct |
16 |
Correct |
28 ms |
51520 KB |
Output is correct |
17 |
Correct |
26 ms |
50764 KB |
Output is correct |
18 |
Correct |
26 ms |
51176 KB |
Output is correct |
19 |
Correct |
27 ms |
51276 KB |
Output is correct |
20 |
Correct |
27 ms |
51508 KB |
Output is correct |
21 |
Correct |
35 ms |
53812 KB |
Output is correct |
22 |
Correct |
34 ms |
54424 KB |
Output is correct |
23 |
Correct |
31 ms |
52912 KB |
Output is correct |
24 |
Correct |
37 ms |
55756 KB |
Output is correct |
25 |
Correct |
38 ms |
55704 KB |
Output is correct |
26 |
Correct |
39 ms |
56076 KB |
Output is correct |
27 |
Correct |
43 ms |
55992 KB |
Output is correct |
28 |
Correct |
38 ms |
55980 KB |
Output is correct |
29 |
Correct |
38 ms |
55964 KB |
Output is correct |
30 |
Correct |
38 ms |
56008 KB |
Output is correct |
31 |
Correct |
39 ms |
56120 KB |
Output is correct |
32 |
Correct |
39 ms |
55988 KB |
Output is correct |
33 |
Correct |
39 ms |
55992 KB |
Output is correct |
34 |
Correct |
39 ms |
56004 KB |
Output is correct |
35 |
Correct |
38 ms |
55944 KB |
Output is correct |
36 |
Correct |
39 ms |
56112 KB |
Output is correct |
37 |
Correct |
60 ms |
62668 KB |
Output is correct |
38 |
Correct |
61 ms |
62664 KB |
Output is correct |
39 |
Correct |
61 ms |
65384 KB |
Output is correct |
40 |
Correct |
78 ms |
67144 KB |
Output is correct |
41 |
Correct |
62 ms |
66764 KB |
Output is correct |
42 |
Correct |
73 ms |
66056 KB |
Output is correct |
43 |
Correct |
82 ms |
65608 KB |
Output is correct |
44 |
Correct |
87 ms |
65872 KB |
Output is correct |
45 |
Correct |
86 ms |
66000 KB |
Output is correct |
46 |
Correct |
67 ms |
66772 KB |
Output is correct |
47 |
Correct |
74 ms |
65860 KB |
Output is correct |
48 |
Correct |
77 ms |
65936 KB |
Output is correct |
49 |
Correct |
65 ms |
65632 KB |
Output is correct |
50 |
Correct |
76 ms |
65880 KB |
Output is correct |
51 |
Correct |
60 ms |
65740 KB |
Output is correct |
52 |
Correct |
92 ms |
67352 KB |
Output is correct |
53 |
Correct |
94 ms |
69208 KB |
Output is correct |
54 |
Correct |
116 ms |
72488 KB |
Output is correct |
55 |
Correct |
150 ms |
72696 KB |
Output is correct |
56 |
Correct |
102 ms |
69604 KB |
Output is correct |
57 |
Correct |
148 ms |
72860 KB |
Output is correct |
58 |
Correct |
113 ms |
72512 KB |
Output is correct |
59 |
Correct |
127 ms |
72624 KB |
Output is correct |
60 |
Correct |
73 ms |
72132 KB |
Output is correct |
61 |
Correct |
130 ms |
72596 KB |
Output is correct |
62 |
Correct |
126 ms |
70780 KB |
Output is correct |
63 |
Correct |
130 ms |
70844 KB |
Output is correct |
64 |
Correct |
127 ms |
70420 KB |
Output is correct |
65 |
Correct |
71 ms |
69820 KB |
Output is correct |
66 |
Correct |
75 ms |
69572 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
23 ms |
49860 KB |
Output is correct |
2 |
Correct |
24 ms |
50044 KB |
Output is correct |
3 |
Correct |
22 ms |
49832 KB |
Output is correct |
4 |
Correct |
23 ms |
49920 KB |
Output is correct |
5 |
Correct |
32 ms |
50348 KB |
Output is correct |
6 |
Correct |
24 ms |
50196 KB |
Output is correct |
7 |
Correct |
26 ms |
49996 KB |
Output is correct |
8 |
Correct |
25 ms |
50428 KB |
Output is correct |
9 |
Correct |
26 ms |
50264 KB |
Output is correct |
10 |
Correct |
30 ms |
51592 KB |
Output is correct |
11 |
Correct |
28 ms |
51568 KB |
Output is correct |
12 |
Correct |
28 ms |
51532 KB |
Output is correct |
13 |
Correct |
27 ms |
51200 KB |
Output is correct |
14 |
Correct |
28 ms |
51352 KB |
Output is correct |
15 |
Correct |
27 ms |
51384 KB |
Output is correct |
16 |
Correct |
28 ms |
51520 KB |
Output is correct |
17 |
Correct |
26 ms |
50764 KB |
Output is correct |
18 |
Correct |
26 ms |
51176 KB |
Output is correct |
19 |
Correct |
27 ms |
51276 KB |
Output is correct |
20 |
Correct |
27 ms |
51508 KB |
Output is correct |
21 |
Correct |
35 ms |
53812 KB |
Output is correct |
22 |
Correct |
34 ms |
54424 KB |
Output is correct |
23 |
Correct |
31 ms |
52912 KB |
Output is correct |
24 |
Correct |
37 ms |
55756 KB |
Output is correct |
25 |
Correct |
38 ms |
55704 KB |
Output is correct |
26 |
Correct |
39 ms |
56076 KB |
Output is correct |
27 |
Correct |
43 ms |
55992 KB |
Output is correct |
28 |
Correct |
38 ms |
55980 KB |
Output is correct |
29 |
Correct |
38 ms |
55964 KB |
Output is correct |
30 |
Correct |
38 ms |
56008 KB |
Output is correct |
31 |
Correct |
39 ms |
56120 KB |
Output is correct |
32 |
Correct |
39 ms |
55988 KB |
Output is correct |
33 |
Correct |
39 ms |
55992 KB |
Output is correct |
34 |
Correct |
39 ms |
56004 KB |
Output is correct |
35 |
Correct |
38 ms |
55944 KB |
Output is correct |
36 |
Correct |
39 ms |
56112 KB |
Output is correct |
37 |
Correct |
60 ms |
62668 KB |
Output is correct |
38 |
Correct |
61 ms |
62664 KB |
Output is correct |
39 |
Correct |
61 ms |
65384 KB |
Output is correct |
40 |
Correct |
78 ms |
67144 KB |
Output is correct |
41 |
Correct |
62 ms |
66764 KB |
Output is correct |
42 |
Correct |
73 ms |
66056 KB |
Output is correct |
43 |
Correct |
82 ms |
65608 KB |
Output is correct |
44 |
Correct |
87 ms |
65872 KB |
Output is correct |
45 |
Correct |
86 ms |
66000 KB |
Output is correct |
46 |
Correct |
67 ms |
66772 KB |
Output is correct |
47 |
Correct |
74 ms |
65860 KB |
Output is correct |
48 |
Correct |
77 ms |
65936 KB |
Output is correct |
49 |
Correct |
65 ms |
65632 KB |
Output is correct |
50 |
Correct |
76 ms |
65880 KB |
Output is correct |
51 |
Correct |
60 ms |
65740 KB |
Output is correct |
52 |
Correct |
92 ms |
67352 KB |
Output is correct |
53 |
Correct |
94 ms |
69208 KB |
Output is correct |
54 |
Correct |
116 ms |
72488 KB |
Output is correct |
55 |
Correct |
150 ms |
72696 KB |
Output is correct |
56 |
Correct |
102 ms |
69604 KB |
Output is correct |
57 |
Correct |
148 ms |
72860 KB |
Output is correct |
58 |
Correct |
113 ms |
72512 KB |
Output is correct |
59 |
Correct |
127 ms |
72624 KB |
Output is correct |
60 |
Correct |
73 ms |
72132 KB |
Output is correct |
61 |
Correct |
130 ms |
72596 KB |
Output is correct |
62 |
Correct |
126 ms |
70780 KB |
Output is correct |
63 |
Correct |
130 ms |
70844 KB |
Output is correct |
64 |
Correct |
127 ms |
70420 KB |
Output is correct |
65 |
Correct |
71 ms |
69820 KB |
Output is correct |
66 |
Correct |
75 ms |
69572 KB |
Output is correct |
67 |
Correct |
143 ms |
75832 KB |
Output is correct |
68 |
Correct |
95 ms |
81604 KB |
Output is correct |
69 |
Correct |
287 ms |
83044 KB |
Output is correct |
70 |
Correct |
215 ms |
82620 KB |
Output is correct |
71 |
Correct |
216 ms |
82464 KB |
Output is correct |
72 |
Correct |
93 ms |
81476 KB |
Output is correct |
73 |
Correct |
92 ms |
81404 KB |
Output is correct |
74 |
Correct |
312 ms |
83048 KB |
Output is correct |
75 |
Correct |
262 ms |
82824 KB |
Output is correct |
76 |
Correct |
292 ms |
83252 KB |
Output is correct |
77 |
Correct |
323 ms |
83292 KB |
Output is correct |