#include <bits/stdc++.h>
using namespace std;
const int kN = 500;
const int kMax = kN * kN;
int a[1 + kN];
bitset<1 + kMax> dp, evenStr, oddStr, pref[1 + kN], suff[1 + kN + 1];
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
int sum = 0;
for (int i = 1; i <= n; ++i) {
cin >> a[i];
sum += a[i];
}
pref[0][0] = true;
for (int i = 1; i <= n; ++i) {
pref[i] = pref[i - 1] | (pref[i - 1] << a[i]);
}
suff[n + 1][0] = true;
for (int i = n; i > 0; --i) {
suff[i] = suff[i + 1] | (suff[i + 1] << a[i]);
}
if (sum % 2 == 1 || !pref[n].test(sum / 2)) {
cout << "0\n";
return 0;
}
bool even = true, odd = true;
evenStr.set();
oddStr.set();
evenStr[0].flip();
for (int i = 1; i <= n; ++i) {
if (i <= n / 2) {
dp = suff[i + 1];
for (int j = 1; j < i; ++j) {
dp |= dp << a[j];
}
} else {
dp = pref[i - 1];
for (int j = i + 1; j <= n; ++j) {
dp |= dp << a[j];
}
}
int rest = sum - a[i];
if (rest % 2 == 0) {
if (even) {
evenStr &= dp >> (rest / 2);
}
if (odd) {
odd = false;
oddStr = 0;
}
} else {
if (odd) {
oddStr &= dp >> (rest / 2 + 1);
}
if (even) {
even = false;
evenStr = 0;
}
}
}
cout << evenStr.count() + oddStr.count() << '\n';
for (int i = 0; i < kMax; ++i) {
if (evenStr.test(i)) {
cout << 2 * i << ' ';
} else if (oddStr.test(i)) {
cout << 2 * i + 1 << ' ';
}
}
cout << '\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
716 KB |
Output is correct |
2 |
Correct |
2 ms |
864 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
2 ms |
772 KB |
Output is correct |
5 |
Correct |
2 ms |
1144 KB |
Output is correct |
6 |
Correct |
2 ms |
980 KB |
Output is correct |
7 |
Correct |
1 ms |
852 KB |
Output is correct |
8 |
Correct |
2 ms |
1144 KB |
Output is correct |
9 |
Correct |
2 ms |
1024 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
716 KB |
Output is correct |
2 |
Correct |
2 ms |
864 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
2 ms |
772 KB |
Output is correct |
5 |
Correct |
2 ms |
1144 KB |
Output is correct |
6 |
Correct |
2 ms |
980 KB |
Output is correct |
7 |
Correct |
1 ms |
852 KB |
Output is correct |
8 |
Correct |
2 ms |
1144 KB |
Output is correct |
9 |
Correct |
2 ms |
1024 KB |
Output is correct |
10 |
Correct |
4 ms |
2260 KB |
Output is correct |
11 |
Correct |
4 ms |
2260 KB |
Output is correct |
12 |
Correct |
4 ms |
2308 KB |
Output is correct |
13 |
Correct |
3 ms |
2004 KB |
Output is correct |
14 |
Correct |
4 ms |
2132 KB |
Output is correct |
15 |
Correct |
5 ms |
2132 KB |
Output is correct |
16 |
Correct |
4 ms |
2260 KB |
Output is correct |
17 |
Correct |
3 ms |
1524 KB |
Output is correct |
18 |
Correct |
4 ms |
1876 KB |
Output is correct |
19 |
Correct |
4 ms |
2004 KB |
Output is correct |
20 |
Correct |
5 ms |
2252 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
716 KB |
Output is correct |
2 |
Correct |
2 ms |
864 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
2 ms |
772 KB |
Output is correct |
5 |
Correct |
2 ms |
1144 KB |
Output is correct |
6 |
Correct |
2 ms |
980 KB |
Output is correct |
7 |
Correct |
1 ms |
852 KB |
Output is correct |
8 |
Correct |
2 ms |
1144 KB |
Output is correct |
9 |
Correct |
2 ms |
1024 KB |
Output is correct |
10 |
Correct |
4 ms |
2260 KB |
Output is correct |
11 |
Correct |
4 ms |
2260 KB |
Output is correct |
12 |
Correct |
4 ms |
2308 KB |
Output is correct |
13 |
Correct |
3 ms |
2004 KB |
Output is correct |
14 |
Correct |
4 ms |
2132 KB |
Output is correct |
15 |
Correct |
5 ms |
2132 KB |
Output is correct |
16 |
Correct |
4 ms |
2260 KB |
Output is correct |
17 |
Correct |
3 ms |
1524 KB |
Output is correct |
18 |
Correct |
4 ms |
1876 KB |
Output is correct |
19 |
Correct |
4 ms |
2004 KB |
Output is correct |
20 |
Correct |
5 ms |
2252 KB |
Output is correct |
21 |
Correct |
12 ms |
4444 KB |
Output is correct |
22 |
Correct |
14 ms |
4948 KB |
Output is correct |
23 |
Correct |
9 ms |
3584 KB |
Output is correct |
24 |
Correct |
21 ms |
6192 KB |
Output is correct |
25 |
Correct |
20 ms |
6276 KB |
Output is correct |
26 |
Correct |
24 ms |
6640 KB |
Output is correct |
27 |
Correct |
32 ms |
6636 KB |
Output is correct |
28 |
Correct |
32 ms |
6612 KB |
Output is correct |
29 |
Correct |
23 ms |
6644 KB |
Output is correct |
30 |
Correct |
26 ms |
6612 KB |
Output is correct |
31 |
Correct |
22 ms |
6612 KB |
Output is correct |
32 |
Correct |
22 ms |
6612 KB |
Output is correct |
33 |
Correct |
21 ms |
6612 KB |
Output is correct |
34 |
Correct |
22 ms |
6612 KB |
Output is correct |
35 |
Correct |
23 ms |
6524 KB |
Output is correct |
36 |
Correct |
24 ms |
6528 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
716 KB |
Output is correct |
2 |
Correct |
2 ms |
864 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
2 ms |
772 KB |
Output is correct |
5 |
Correct |
2 ms |
1144 KB |
Output is correct |
6 |
Correct |
2 ms |
980 KB |
Output is correct |
7 |
Correct |
1 ms |
852 KB |
Output is correct |
8 |
Correct |
2 ms |
1144 KB |
Output is correct |
9 |
Correct |
2 ms |
1024 KB |
Output is correct |
10 |
Correct |
4 ms |
2260 KB |
Output is correct |
11 |
Correct |
4 ms |
2260 KB |
Output is correct |
12 |
Correct |
4 ms |
2308 KB |
Output is correct |
13 |
Correct |
3 ms |
2004 KB |
Output is correct |
14 |
Correct |
4 ms |
2132 KB |
Output is correct |
15 |
Correct |
5 ms |
2132 KB |
Output is correct |
16 |
Correct |
4 ms |
2260 KB |
Output is correct |
17 |
Correct |
3 ms |
1524 KB |
Output is correct |
18 |
Correct |
4 ms |
1876 KB |
Output is correct |
19 |
Correct |
4 ms |
2004 KB |
Output is correct |
20 |
Correct |
5 ms |
2252 KB |
Output is correct |
21 |
Correct |
12 ms |
4444 KB |
Output is correct |
22 |
Correct |
14 ms |
4948 KB |
Output is correct |
23 |
Correct |
9 ms |
3584 KB |
Output is correct |
24 |
Correct |
21 ms |
6192 KB |
Output is correct |
25 |
Correct |
20 ms |
6276 KB |
Output is correct |
26 |
Correct |
24 ms |
6640 KB |
Output is correct |
27 |
Correct |
32 ms |
6636 KB |
Output is correct |
28 |
Correct |
32 ms |
6612 KB |
Output is correct |
29 |
Correct |
23 ms |
6644 KB |
Output is correct |
30 |
Correct |
26 ms |
6612 KB |
Output is correct |
31 |
Correct |
22 ms |
6612 KB |
Output is correct |
32 |
Correct |
22 ms |
6612 KB |
Output is correct |
33 |
Correct |
21 ms |
6612 KB |
Output is correct |
34 |
Correct |
22 ms |
6612 KB |
Output is correct |
35 |
Correct |
23 ms |
6524 KB |
Output is correct |
36 |
Correct |
24 ms |
6528 KB |
Output is correct |
37 |
Correct |
88 ms |
12788 KB |
Output is correct |
38 |
Correct |
83 ms |
12736 KB |
Output is correct |
39 |
Correct |
118 ms |
15636 KB |
Output is correct |
40 |
Correct |
157 ms |
17032 KB |
Output is correct |
41 |
Correct |
164 ms |
17024 KB |
Output is correct |
42 |
Correct |
138 ms |
15812 KB |
Output is correct |
43 |
Correct |
133 ms |
15560 KB |
Output is correct |
44 |
Correct |
151 ms |
15784 KB |
Output is correct |
45 |
Correct |
129 ms |
15924 KB |
Output is correct |
46 |
Correct |
141 ms |
16980 KB |
Output is correct |
47 |
Correct |
121 ms |
15800 KB |
Output is correct |
48 |
Correct |
117 ms |
15800 KB |
Output is correct |
49 |
Correct |
131 ms |
15796 KB |
Output is correct |
50 |
Correct |
138 ms |
15804 KB |
Output is correct |
51 |
Correct |
12 ms |
15684 KB |
Output is correct |
52 |
Correct |
149 ms |
17128 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
716 KB |
Output is correct |
2 |
Correct |
2 ms |
864 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
2 ms |
772 KB |
Output is correct |
5 |
Correct |
2 ms |
1144 KB |
Output is correct |
6 |
Correct |
2 ms |
980 KB |
Output is correct |
7 |
Correct |
1 ms |
852 KB |
Output is correct |
8 |
Correct |
2 ms |
1144 KB |
Output is correct |
9 |
Correct |
2 ms |
1024 KB |
Output is correct |
10 |
Correct |
4 ms |
2260 KB |
Output is correct |
11 |
Correct |
4 ms |
2260 KB |
Output is correct |
12 |
Correct |
4 ms |
2308 KB |
Output is correct |
13 |
Correct |
3 ms |
2004 KB |
Output is correct |
14 |
Correct |
4 ms |
2132 KB |
Output is correct |
15 |
Correct |
5 ms |
2132 KB |
Output is correct |
16 |
Correct |
4 ms |
2260 KB |
Output is correct |
17 |
Correct |
3 ms |
1524 KB |
Output is correct |
18 |
Correct |
4 ms |
1876 KB |
Output is correct |
19 |
Correct |
4 ms |
2004 KB |
Output is correct |
20 |
Correct |
5 ms |
2252 KB |
Output is correct |
21 |
Correct |
12 ms |
4444 KB |
Output is correct |
22 |
Correct |
14 ms |
4948 KB |
Output is correct |
23 |
Correct |
9 ms |
3584 KB |
Output is correct |
24 |
Correct |
21 ms |
6192 KB |
Output is correct |
25 |
Correct |
20 ms |
6276 KB |
Output is correct |
26 |
Correct |
24 ms |
6640 KB |
Output is correct |
27 |
Correct |
32 ms |
6636 KB |
Output is correct |
28 |
Correct |
32 ms |
6612 KB |
Output is correct |
29 |
Correct |
23 ms |
6644 KB |
Output is correct |
30 |
Correct |
26 ms |
6612 KB |
Output is correct |
31 |
Correct |
22 ms |
6612 KB |
Output is correct |
32 |
Correct |
22 ms |
6612 KB |
Output is correct |
33 |
Correct |
21 ms |
6612 KB |
Output is correct |
34 |
Correct |
22 ms |
6612 KB |
Output is correct |
35 |
Correct |
23 ms |
6524 KB |
Output is correct |
36 |
Correct |
24 ms |
6528 KB |
Output is correct |
37 |
Correct |
88 ms |
12788 KB |
Output is correct |
38 |
Correct |
83 ms |
12736 KB |
Output is correct |
39 |
Correct |
118 ms |
15636 KB |
Output is correct |
40 |
Correct |
157 ms |
17032 KB |
Output is correct |
41 |
Correct |
164 ms |
17024 KB |
Output is correct |
42 |
Correct |
138 ms |
15812 KB |
Output is correct |
43 |
Correct |
133 ms |
15560 KB |
Output is correct |
44 |
Correct |
151 ms |
15784 KB |
Output is correct |
45 |
Correct |
129 ms |
15924 KB |
Output is correct |
46 |
Correct |
141 ms |
16980 KB |
Output is correct |
47 |
Correct |
121 ms |
15800 KB |
Output is correct |
48 |
Correct |
117 ms |
15800 KB |
Output is correct |
49 |
Correct |
131 ms |
15796 KB |
Output is correct |
50 |
Correct |
138 ms |
15804 KB |
Output is correct |
51 |
Correct |
12 ms |
15684 KB |
Output is correct |
52 |
Correct |
149 ms |
17128 KB |
Output is correct |
53 |
Correct |
187 ms |
18984 KB |
Output is correct |
54 |
Correct |
229 ms |
22044 KB |
Output is correct |
55 |
Correct |
232 ms |
22176 KB |
Output is correct |
56 |
Correct |
184 ms |
19348 KB |
Output is correct |
57 |
Correct |
227 ms |
22172 KB |
Output is correct |
58 |
Correct |
226 ms |
22092 KB |
Output is correct |
59 |
Correct |
214 ms |
22040 KB |
Output is correct |
60 |
Correct |
16 ms |
21672 KB |
Output is correct |
61 |
Correct |
254 ms |
22052 KB |
Output is correct |
62 |
Correct |
182 ms |
20332 KB |
Output is correct |
63 |
Correct |
192 ms |
20332 KB |
Output is correct |
64 |
Correct |
196 ms |
19972 KB |
Output is correct |
65 |
Correct |
185 ms |
19840 KB |
Output is correct |
66 |
Correct |
176 ms |
19480 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
716 KB |
Output is correct |
2 |
Correct |
2 ms |
864 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
2 ms |
772 KB |
Output is correct |
5 |
Correct |
2 ms |
1144 KB |
Output is correct |
6 |
Correct |
2 ms |
980 KB |
Output is correct |
7 |
Correct |
1 ms |
852 KB |
Output is correct |
8 |
Correct |
2 ms |
1144 KB |
Output is correct |
9 |
Correct |
2 ms |
1024 KB |
Output is correct |
10 |
Correct |
4 ms |
2260 KB |
Output is correct |
11 |
Correct |
4 ms |
2260 KB |
Output is correct |
12 |
Correct |
4 ms |
2308 KB |
Output is correct |
13 |
Correct |
3 ms |
2004 KB |
Output is correct |
14 |
Correct |
4 ms |
2132 KB |
Output is correct |
15 |
Correct |
5 ms |
2132 KB |
Output is correct |
16 |
Correct |
4 ms |
2260 KB |
Output is correct |
17 |
Correct |
3 ms |
1524 KB |
Output is correct |
18 |
Correct |
4 ms |
1876 KB |
Output is correct |
19 |
Correct |
4 ms |
2004 KB |
Output is correct |
20 |
Correct |
5 ms |
2252 KB |
Output is correct |
21 |
Correct |
12 ms |
4444 KB |
Output is correct |
22 |
Correct |
14 ms |
4948 KB |
Output is correct |
23 |
Correct |
9 ms |
3584 KB |
Output is correct |
24 |
Correct |
21 ms |
6192 KB |
Output is correct |
25 |
Correct |
20 ms |
6276 KB |
Output is correct |
26 |
Correct |
24 ms |
6640 KB |
Output is correct |
27 |
Correct |
32 ms |
6636 KB |
Output is correct |
28 |
Correct |
32 ms |
6612 KB |
Output is correct |
29 |
Correct |
23 ms |
6644 KB |
Output is correct |
30 |
Correct |
26 ms |
6612 KB |
Output is correct |
31 |
Correct |
22 ms |
6612 KB |
Output is correct |
32 |
Correct |
22 ms |
6612 KB |
Output is correct |
33 |
Correct |
21 ms |
6612 KB |
Output is correct |
34 |
Correct |
22 ms |
6612 KB |
Output is correct |
35 |
Correct |
23 ms |
6524 KB |
Output is correct |
36 |
Correct |
24 ms |
6528 KB |
Output is correct |
37 |
Correct |
88 ms |
12788 KB |
Output is correct |
38 |
Correct |
83 ms |
12736 KB |
Output is correct |
39 |
Correct |
118 ms |
15636 KB |
Output is correct |
40 |
Correct |
157 ms |
17032 KB |
Output is correct |
41 |
Correct |
164 ms |
17024 KB |
Output is correct |
42 |
Correct |
138 ms |
15812 KB |
Output is correct |
43 |
Correct |
133 ms |
15560 KB |
Output is correct |
44 |
Correct |
151 ms |
15784 KB |
Output is correct |
45 |
Correct |
129 ms |
15924 KB |
Output is correct |
46 |
Correct |
141 ms |
16980 KB |
Output is correct |
47 |
Correct |
121 ms |
15800 KB |
Output is correct |
48 |
Correct |
117 ms |
15800 KB |
Output is correct |
49 |
Correct |
131 ms |
15796 KB |
Output is correct |
50 |
Correct |
138 ms |
15804 KB |
Output is correct |
51 |
Correct |
12 ms |
15684 KB |
Output is correct |
52 |
Correct |
149 ms |
17128 KB |
Output is correct |
53 |
Correct |
187 ms |
18984 KB |
Output is correct |
54 |
Correct |
229 ms |
22044 KB |
Output is correct |
55 |
Correct |
232 ms |
22176 KB |
Output is correct |
56 |
Correct |
184 ms |
19348 KB |
Output is correct |
57 |
Correct |
227 ms |
22172 KB |
Output is correct |
58 |
Correct |
226 ms |
22092 KB |
Output is correct |
59 |
Correct |
214 ms |
22040 KB |
Output is correct |
60 |
Correct |
16 ms |
21672 KB |
Output is correct |
61 |
Correct |
254 ms |
22052 KB |
Output is correct |
62 |
Correct |
182 ms |
20332 KB |
Output is correct |
63 |
Correct |
192 ms |
20332 KB |
Output is correct |
64 |
Correct |
196 ms |
19972 KB |
Output is correct |
65 |
Correct |
185 ms |
19840 KB |
Output is correct |
66 |
Correct |
176 ms |
19480 KB |
Output is correct |
67 |
Correct |
317 ms |
25164 KB |
Output is correct |
68 |
Correct |
22 ms |
30928 KB |
Output is correct |
69 |
Correct |
441 ms |
31724 KB |
Output is correct |
70 |
Correct |
440 ms |
31460 KB |
Output is correct |
71 |
Correct |
506 ms |
31580 KB |
Output is correct |
72 |
Correct |
438 ms |
31076 KB |
Output is correct |
73 |
Correct |
449 ms |
30924 KB |
Output is correct |
74 |
Correct |
463 ms |
31600 KB |
Output is correct |
75 |
Correct |
467 ms |
31472 KB |
Output is correct |
76 |
Correct |
465 ms |
31848 KB |
Output is correct |
77 |
Correct |
530 ms |
31716 KB |
Output is correct |