#include <bits/stdc++.h>
using namespace std;
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
int N;
cin >> N;
vector<int> A(N);
for (int i = 0; i < N; i++) {
cin >> A[i];
}
const int MAX = accumulate(begin(A), end(A), 0) + 5;
const int MOD = 1e9 + 7;
const auto Add = [&](int &a, int b) {
a += b;
if (a >= MOD) a -= MOD;
};
int sum = 0;
vector<int> dp(MAX);
dp[0] = 1;
const auto Insert = [&](int a) {
sum += a;
for (int i = MAX - 1; i >= 0; i--) {
if (i + a < MAX) {
Add(dp[i + a], dp[i]);
}
}
};
const auto Delete = [&](int a) {
sum -= a;
for (int i = 0; i < MAX; i++) {
if (i + a < MAX) {
Add(dp[i + a], MOD - dp[i]);
}
}
};
for (int i = 0; i < N; i++) {
Insert(A[i]);
}
if (sum % 2 != 0 || dp[sum / 2] == 0) {
cout << 0 << '\n';
return 0;
}
vector<int> ans(MAX);
for (int i = 0; i < N; i++) {
Delete(A[i]);
for (int j = 1; j < MAX; j++) {
int nsum = sum + j;
if (nsum % 2 != 0) continue;
int need = nsum / 2;
if ((0 <= need - 0 && need - 0 < MAX && dp[need - 0] != 0) ||
(0 <= need - j && need - j < MAX && dp[need - j] != 0)) {
ans[j]++;
}
}
Insert(A[i]);
}
vector<int> answer;
for (int i = 1; i < MAX; i++) {
if (ans[i] == N) {
answer.emplace_back(i);
}
}
cout << answer.size() << '\n';
for (auto a : answer) {
cout << a << ' ';
}
cout << '\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
312 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
308 KB |
Output is correct |
5 |
Correct |
1 ms |
312 KB |
Output is correct |
6 |
Correct |
1 ms |
304 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
312 KB |
Output is correct |
9 |
Correct |
1 ms |
316 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
312 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
308 KB |
Output is correct |
5 |
Correct |
1 ms |
312 KB |
Output is correct |
6 |
Correct |
1 ms |
304 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
312 KB |
Output is correct |
9 |
Correct |
1 ms |
316 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
1 ms |
312 KB |
Output is correct |
14 |
Correct |
1 ms |
308 KB |
Output is correct |
15 |
Correct |
1 ms |
204 KB |
Output is correct |
16 |
Correct |
1 ms |
204 KB |
Output is correct |
17 |
Correct |
1 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
204 KB |
Output is correct |
20 |
Correct |
1 ms |
204 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
312 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
308 KB |
Output is correct |
5 |
Correct |
1 ms |
312 KB |
Output is correct |
6 |
Correct |
1 ms |
304 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
312 KB |
Output is correct |
9 |
Correct |
1 ms |
316 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
1 ms |
312 KB |
Output is correct |
14 |
Correct |
1 ms |
308 KB |
Output is correct |
15 |
Correct |
1 ms |
204 KB |
Output is correct |
16 |
Correct |
1 ms |
204 KB |
Output is correct |
17 |
Correct |
1 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
204 KB |
Output is correct |
20 |
Correct |
1 ms |
204 KB |
Output is correct |
21 |
Correct |
2 ms |
332 KB |
Output is correct |
22 |
Correct |
2 ms |
332 KB |
Output is correct |
23 |
Correct |
2 ms |
332 KB |
Output is correct |
24 |
Correct |
3 ms |
332 KB |
Output is correct |
25 |
Correct |
5 ms |
332 KB |
Output is correct |
26 |
Correct |
8 ms |
388 KB |
Output is correct |
27 |
Correct |
6 ms |
368 KB |
Output is correct |
28 |
Correct |
6 ms |
332 KB |
Output is correct |
29 |
Correct |
6 ms |
388 KB |
Output is correct |
30 |
Correct |
4 ms |
332 KB |
Output is correct |
31 |
Correct |
6 ms |
320 KB |
Output is correct |
32 |
Correct |
4 ms |
332 KB |
Output is correct |
33 |
Correct |
7 ms |
332 KB |
Output is correct |
34 |
Correct |
6 ms |
388 KB |
Output is correct |
35 |
Correct |
6 ms |
312 KB |
Output is correct |
36 |
Correct |
3 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
312 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
308 KB |
Output is correct |
5 |
Correct |
1 ms |
312 KB |
Output is correct |
6 |
Correct |
1 ms |
304 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
312 KB |
Output is correct |
9 |
Correct |
1 ms |
316 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
1 ms |
312 KB |
Output is correct |
14 |
Correct |
1 ms |
308 KB |
Output is correct |
15 |
Correct |
1 ms |
204 KB |
Output is correct |
16 |
Correct |
1 ms |
204 KB |
Output is correct |
17 |
Correct |
1 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
204 KB |
Output is correct |
20 |
Correct |
1 ms |
204 KB |
Output is correct |
21 |
Correct |
2 ms |
332 KB |
Output is correct |
22 |
Correct |
2 ms |
332 KB |
Output is correct |
23 |
Correct |
2 ms |
332 KB |
Output is correct |
24 |
Correct |
3 ms |
332 KB |
Output is correct |
25 |
Correct |
5 ms |
332 KB |
Output is correct |
26 |
Correct |
8 ms |
388 KB |
Output is correct |
27 |
Correct |
6 ms |
368 KB |
Output is correct |
28 |
Correct |
6 ms |
332 KB |
Output is correct |
29 |
Correct |
6 ms |
388 KB |
Output is correct |
30 |
Correct |
4 ms |
332 KB |
Output is correct |
31 |
Correct |
6 ms |
320 KB |
Output is correct |
32 |
Correct |
4 ms |
332 KB |
Output is correct |
33 |
Correct |
7 ms |
332 KB |
Output is correct |
34 |
Correct |
6 ms |
388 KB |
Output is correct |
35 |
Correct |
6 ms |
312 KB |
Output is correct |
36 |
Correct |
3 ms |
332 KB |
Output is correct |
37 |
Correct |
21 ms |
588 KB |
Output is correct |
38 |
Correct |
22 ms |
588 KB |
Output is correct |
39 |
Correct |
83 ms |
688 KB |
Output is correct |
40 |
Correct |
50 ms |
688 KB |
Output is correct |
41 |
Correct |
106 ms |
844 KB |
Output is correct |
42 |
Correct |
40 ms |
680 KB |
Output is correct |
43 |
Correct |
75 ms |
1120 KB |
Output is correct |
44 |
Correct |
72 ms |
1220 KB |
Output is correct |
45 |
Correct |
73 ms |
1140 KB |
Output is correct |
46 |
Correct |
44 ms |
540 KB |
Output is correct |
47 |
Correct |
48 ms |
676 KB |
Output is correct |
48 |
Correct |
81 ms |
1064 KB |
Output is correct |
49 |
Correct |
82 ms |
804 KB |
Output is correct |
50 |
Correct |
43 ms |
676 KB |
Output is correct |
51 |
Correct |
11 ms |
436 KB |
Output is correct |
52 |
Correct |
97 ms |
1236 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
312 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
308 KB |
Output is correct |
5 |
Correct |
1 ms |
312 KB |
Output is correct |
6 |
Correct |
1 ms |
304 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
312 KB |
Output is correct |
9 |
Correct |
1 ms |
316 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
1 ms |
312 KB |
Output is correct |
14 |
Correct |
1 ms |
308 KB |
Output is correct |
15 |
Correct |
1 ms |
204 KB |
Output is correct |
16 |
Correct |
1 ms |
204 KB |
Output is correct |
17 |
Correct |
1 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
204 KB |
Output is correct |
20 |
Correct |
1 ms |
204 KB |
Output is correct |
21 |
Correct |
2 ms |
332 KB |
Output is correct |
22 |
Correct |
2 ms |
332 KB |
Output is correct |
23 |
Correct |
2 ms |
332 KB |
Output is correct |
24 |
Correct |
3 ms |
332 KB |
Output is correct |
25 |
Correct |
5 ms |
332 KB |
Output is correct |
26 |
Correct |
8 ms |
388 KB |
Output is correct |
27 |
Correct |
6 ms |
368 KB |
Output is correct |
28 |
Correct |
6 ms |
332 KB |
Output is correct |
29 |
Correct |
6 ms |
388 KB |
Output is correct |
30 |
Correct |
4 ms |
332 KB |
Output is correct |
31 |
Correct |
6 ms |
320 KB |
Output is correct |
32 |
Correct |
4 ms |
332 KB |
Output is correct |
33 |
Correct |
7 ms |
332 KB |
Output is correct |
34 |
Correct |
6 ms |
388 KB |
Output is correct |
35 |
Correct |
6 ms |
312 KB |
Output is correct |
36 |
Correct |
3 ms |
332 KB |
Output is correct |
37 |
Correct |
21 ms |
588 KB |
Output is correct |
38 |
Correct |
22 ms |
588 KB |
Output is correct |
39 |
Correct |
83 ms |
688 KB |
Output is correct |
40 |
Correct |
50 ms |
688 KB |
Output is correct |
41 |
Correct |
106 ms |
844 KB |
Output is correct |
42 |
Correct |
40 ms |
680 KB |
Output is correct |
43 |
Correct |
75 ms |
1120 KB |
Output is correct |
44 |
Correct |
72 ms |
1220 KB |
Output is correct |
45 |
Correct |
73 ms |
1140 KB |
Output is correct |
46 |
Correct |
44 ms |
540 KB |
Output is correct |
47 |
Correct |
48 ms |
676 KB |
Output is correct |
48 |
Correct |
81 ms |
1064 KB |
Output is correct |
49 |
Correct |
82 ms |
804 KB |
Output is correct |
50 |
Correct |
43 ms |
676 KB |
Output is correct |
51 |
Correct |
11 ms |
436 KB |
Output is correct |
52 |
Correct |
97 ms |
1236 KB |
Output is correct |
53 |
Correct |
69 ms |
936 KB |
Output is correct |
54 |
Correct |
99 ms |
1216 KB |
Output is correct |
55 |
Correct |
226 ms |
1692 KB |
Output is correct |
56 |
Correct |
86 ms |
1076 KB |
Output is correct |
57 |
Correct |
209 ms |
1832 KB |
Output is correct |
58 |
Correct |
125 ms |
1168 KB |
Output is correct |
59 |
Correct |
155 ms |
1292 KB |
Output is correct |
60 |
Correct |
28 ms |
460 KB |
Output is correct |
61 |
Correct |
153 ms |
1608 KB |
Output is correct |
62 |
Correct |
157 ms |
1576 KB |
Output is correct |
63 |
Correct |
178 ms |
1608 KB |
Output is correct |
64 |
Correct |
162 ms |
1616 KB |
Output is correct |
65 |
Correct |
86 ms |
696 KB |
Output is correct |
66 |
Correct |
89 ms |
776 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
312 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
308 KB |
Output is correct |
5 |
Correct |
1 ms |
312 KB |
Output is correct |
6 |
Correct |
1 ms |
304 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
312 KB |
Output is correct |
9 |
Correct |
1 ms |
316 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
1 ms |
312 KB |
Output is correct |
14 |
Correct |
1 ms |
308 KB |
Output is correct |
15 |
Correct |
1 ms |
204 KB |
Output is correct |
16 |
Correct |
1 ms |
204 KB |
Output is correct |
17 |
Correct |
1 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
204 KB |
Output is correct |
20 |
Correct |
1 ms |
204 KB |
Output is correct |
21 |
Correct |
2 ms |
332 KB |
Output is correct |
22 |
Correct |
2 ms |
332 KB |
Output is correct |
23 |
Correct |
2 ms |
332 KB |
Output is correct |
24 |
Correct |
3 ms |
332 KB |
Output is correct |
25 |
Correct |
5 ms |
332 KB |
Output is correct |
26 |
Correct |
8 ms |
388 KB |
Output is correct |
27 |
Correct |
6 ms |
368 KB |
Output is correct |
28 |
Correct |
6 ms |
332 KB |
Output is correct |
29 |
Correct |
6 ms |
388 KB |
Output is correct |
30 |
Correct |
4 ms |
332 KB |
Output is correct |
31 |
Correct |
6 ms |
320 KB |
Output is correct |
32 |
Correct |
4 ms |
332 KB |
Output is correct |
33 |
Correct |
7 ms |
332 KB |
Output is correct |
34 |
Correct |
6 ms |
388 KB |
Output is correct |
35 |
Correct |
6 ms |
312 KB |
Output is correct |
36 |
Correct |
3 ms |
332 KB |
Output is correct |
37 |
Correct |
21 ms |
588 KB |
Output is correct |
38 |
Correct |
22 ms |
588 KB |
Output is correct |
39 |
Correct |
83 ms |
688 KB |
Output is correct |
40 |
Correct |
50 ms |
688 KB |
Output is correct |
41 |
Correct |
106 ms |
844 KB |
Output is correct |
42 |
Correct |
40 ms |
680 KB |
Output is correct |
43 |
Correct |
75 ms |
1120 KB |
Output is correct |
44 |
Correct |
72 ms |
1220 KB |
Output is correct |
45 |
Correct |
73 ms |
1140 KB |
Output is correct |
46 |
Correct |
44 ms |
540 KB |
Output is correct |
47 |
Correct |
48 ms |
676 KB |
Output is correct |
48 |
Correct |
81 ms |
1064 KB |
Output is correct |
49 |
Correct |
82 ms |
804 KB |
Output is correct |
50 |
Correct |
43 ms |
676 KB |
Output is correct |
51 |
Correct |
11 ms |
436 KB |
Output is correct |
52 |
Correct |
97 ms |
1236 KB |
Output is correct |
53 |
Correct |
69 ms |
936 KB |
Output is correct |
54 |
Correct |
99 ms |
1216 KB |
Output is correct |
55 |
Correct |
226 ms |
1692 KB |
Output is correct |
56 |
Correct |
86 ms |
1076 KB |
Output is correct |
57 |
Correct |
209 ms |
1832 KB |
Output is correct |
58 |
Correct |
125 ms |
1168 KB |
Output is correct |
59 |
Correct |
155 ms |
1292 KB |
Output is correct |
60 |
Correct |
28 ms |
460 KB |
Output is correct |
61 |
Correct |
153 ms |
1608 KB |
Output is correct |
62 |
Correct |
157 ms |
1576 KB |
Output is correct |
63 |
Correct |
178 ms |
1608 KB |
Output is correct |
64 |
Correct |
162 ms |
1616 KB |
Output is correct |
65 |
Correct |
86 ms |
696 KB |
Output is correct |
66 |
Correct |
89 ms |
776 KB |
Output is correct |
67 |
Correct |
163 ms |
1456 KB |
Output is correct |
68 |
Correct |
86 ms |
768 KB |
Output is correct |
69 |
Correct |
527 ms |
3188 KB |
Output is correct |
70 |
Correct |
332 ms |
2084 KB |
Output is correct |
71 |
Correct |
310 ms |
1948 KB |
Output is correct |
72 |
Correct |
311 ms |
1196 KB |
Output is correct |
73 |
Correct |
306 ms |
1188 KB |
Output is correct |
74 |
Correct |
562 ms |
3232 KB |
Output is correct |
75 |
Correct |
439 ms |
2608 KB |
Output is correct |
76 |
Correct |
613 ms |
3364 KB |
Output is correct |
77 |
Correct |
618 ms |
3452 KB |
Output is correct |