#include <bits/stdc++.h>
using namespace std;
const int MOD1 = 1e9 + 7;
const int MOD2 = 1e9 + 9;
const int MOD3 = 998244353;
const int MOD4 = 999990011;
const int MOD5 = 999994081;
template<unsigned int MOD>
struct mint {
unsigned int v;
mint() {}
mint(long long val) : v(val - (val >= MOD) * MOD + (val < 0) * MOD) {}
mint<MOD>& operator += (mint<MOD> other) {
*this = mint(v + other.v);
return *this;
}
mint<MOD>& operator -= (mint<MOD> other) {
*this = mint(v - other.v);
return *this;
}
};
const int N = 550;
const int A = 250250;
int lim = 0;
mint<MOD1> dp1[A]{1};
mint<MOD2> dp2[A]{1};
mint<MOD3> dp3[A]{1};
mint<MOD4> dp4[A]{1};
mint<MOD5> dp5[A]{1};
unsigned int dp[A]{1};
int sum = 0;
void add(int val) {
sum += val;
for (int i = lim; i >= val; i--) {
dp[i] += dp[i - val];
// dp1[i] += dp1[i - val];
// dp2[i] += dp2[i - val];
// dp3[i] += dp3[i - val];
// dp4[i] += dp4[i - val];
// dp5[i] += dp5[i - val];
}
}
bool check(int sum) {
if (sum < 0 && sum > lim) return 0;
return (dp[sum]);
// bool flag = true;
// flag &= (dp1[sum].v > 0);
// flag &= (dp2[sum].v > 0);
// flag &= (dp3[sum].v > 0);
// flag &= (dp4[sum].v > 0);
// flag &= (dp5[sum].v > 0);
// return flag;
}
void del(int val) {
sum -= val;
for (int i = val; i <= lim; i++) {
dp[i] -= dp[i - val];
// dp1[i] -= dp1[i - val];
// dp2[i] -= dp2[i - val];
// dp3[i] -= dp3[i - val];
// dp4[i] -= dp4[i - val];
// dp5[i] -= dp5[i - val];
}
}
int n;
int a[N];
int cnt[A];
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n;
for (int i = 0; i < n; i++) {
cin >> a[i];
lim += a[i];
}
for (int i = 0; i < n; i++) {
add(a[i]);
}
if (sum & 1 || !check(sum / 2)) {
cout << 0;
return 0;
}
for (int i = 0; i < n; i++) {
if (i) add(a[i - 1]);
del(a[i]);
for (int s = 0; s <= lim; s++) {
if (check(s)) {
cnt[abs(2 * s - sum)]++;
}
}
}
vector<int> res;
for (int i = 1; i <= lim; i++) {
if (cnt[i] == 2 * n)
res.push_back(i);
}
cout << (int)res.size() << '\n';
for (int c : res) cout << c << ' ';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
600 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
604 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
600 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
604 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
496 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
508 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
600 KB |
Output is correct |
20 |
Correct |
1 ms |
344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
600 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
604 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
496 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
508 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
600 KB |
Output is correct |
20 |
Correct |
1 ms |
344 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
528 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
2 ms |
348 KB |
Output is correct |
25 |
Correct |
2 ms |
604 KB |
Output is correct |
26 |
Correct |
3 ms |
604 KB |
Output is correct |
27 |
Correct |
2 ms |
348 KB |
Output is correct |
28 |
Correct |
3 ms |
348 KB |
Output is correct |
29 |
Correct |
2 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
3 ms |
604 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
3 ms |
348 KB |
Output is correct |
34 |
Correct |
4 ms |
344 KB |
Output is correct |
35 |
Correct |
2 ms |
348 KB |
Output is correct |
36 |
Correct |
2 ms |
344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
600 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
604 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
496 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
508 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
600 KB |
Output is correct |
20 |
Correct |
1 ms |
344 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
528 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
2 ms |
348 KB |
Output is correct |
25 |
Correct |
2 ms |
604 KB |
Output is correct |
26 |
Correct |
3 ms |
604 KB |
Output is correct |
27 |
Correct |
2 ms |
348 KB |
Output is correct |
28 |
Correct |
3 ms |
348 KB |
Output is correct |
29 |
Correct |
2 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
3 ms |
604 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
3 ms |
348 KB |
Output is correct |
34 |
Correct |
4 ms |
344 KB |
Output is correct |
35 |
Correct |
2 ms |
348 KB |
Output is correct |
36 |
Correct |
2 ms |
344 KB |
Output is correct |
37 |
Correct |
9 ms |
756 KB |
Output is correct |
38 |
Correct |
9 ms |
660 KB |
Output is correct |
39 |
Correct |
30 ms |
856 KB |
Output is correct |
40 |
Correct |
21 ms |
740 KB |
Output is correct |
41 |
Correct |
37 ms |
860 KB |
Output is correct |
42 |
Correct |
30 ms |
856 KB |
Output is correct |
43 |
Correct |
30 ms |
1104 KB |
Output is correct |
44 |
Correct |
55 ms |
1104 KB |
Output is correct |
45 |
Correct |
32 ms |
1108 KB |
Output is correct |
46 |
Correct |
23 ms |
496 KB |
Output is correct |
47 |
Correct |
18 ms |
856 KB |
Output is correct |
48 |
Correct |
33 ms |
1108 KB |
Output is correct |
49 |
Correct |
31 ms |
856 KB |
Output is correct |
50 |
Correct |
30 ms |
856 KB |
Output is correct |
51 |
Correct |
5 ms |
604 KB |
Output is correct |
52 |
Correct |
46 ms |
1280 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
600 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
604 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
496 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
508 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
600 KB |
Output is correct |
20 |
Correct |
1 ms |
344 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
528 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
2 ms |
348 KB |
Output is correct |
25 |
Correct |
2 ms |
604 KB |
Output is correct |
26 |
Correct |
3 ms |
604 KB |
Output is correct |
27 |
Correct |
2 ms |
348 KB |
Output is correct |
28 |
Correct |
3 ms |
348 KB |
Output is correct |
29 |
Correct |
2 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
3 ms |
604 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
3 ms |
348 KB |
Output is correct |
34 |
Correct |
4 ms |
344 KB |
Output is correct |
35 |
Correct |
2 ms |
348 KB |
Output is correct |
36 |
Correct |
2 ms |
344 KB |
Output is correct |
37 |
Correct |
9 ms |
756 KB |
Output is correct |
38 |
Correct |
9 ms |
660 KB |
Output is correct |
39 |
Correct |
30 ms |
856 KB |
Output is correct |
40 |
Correct |
21 ms |
740 KB |
Output is correct |
41 |
Correct |
37 ms |
860 KB |
Output is correct |
42 |
Correct |
30 ms |
856 KB |
Output is correct |
43 |
Correct |
30 ms |
1104 KB |
Output is correct |
44 |
Correct |
55 ms |
1104 KB |
Output is correct |
45 |
Correct |
32 ms |
1108 KB |
Output is correct |
46 |
Correct |
23 ms |
496 KB |
Output is correct |
47 |
Correct |
18 ms |
856 KB |
Output is correct |
48 |
Correct |
33 ms |
1108 KB |
Output is correct |
49 |
Correct |
31 ms |
856 KB |
Output is correct |
50 |
Correct |
30 ms |
856 KB |
Output is correct |
51 |
Correct |
5 ms |
604 KB |
Output is correct |
52 |
Correct |
46 ms |
1280 KB |
Output is correct |
53 |
Correct |
30 ms |
1108 KB |
Output is correct |
54 |
Correct |
47 ms |
1108 KB |
Output is correct |
55 |
Correct |
82 ms |
1752 KB |
Output is correct |
56 |
Correct |
42 ms |
1116 KB |
Output is correct |
57 |
Correct |
90 ms |
2004 KB |
Output is correct |
58 |
Correct |
47 ms |
1216 KB |
Output is correct |
59 |
Correct |
66 ms |
1456 KB |
Output is correct |
60 |
Correct |
16 ms |
604 KB |
Output is correct |
61 |
Correct |
68 ms |
1556 KB |
Output is correct |
62 |
Correct |
76 ms |
1768 KB |
Output is correct |
63 |
Correct |
75 ms |
1752 KB |
Output is correct |
64 |
Correct |
69 ms |
1748 KB |
Output is correct |
65 |
Correct |
30 ms |
868 KB |
Output is correct |
66 |
Correct |
33 ms |
904 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
600 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
604 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
496 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
508 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
600 KB |
Output is correct |
20 |
Correct |
1 ms |
344 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
528 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
2 ms |
348 KB |
Output is correct |
25 |
Correct |
2 ms |
604 KB |
Output is correct |
26 |
Correct |
3 ms |
604 KB |
Output is correct |
27 |
Correct |
2 ms |
348 KB |
Output is correct |
28 |
Correct |
3 ms |
348 KB |
Output is correct |
29 |
Correct |
2 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
3 ms |
604 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
3 ms |
348 KB |
Output is correct |
34 |
Correct |
4 ms |
344 KB |
Output is correct |
35 |
Correct |
2 ms |
348 KB |
Output is correct |
36 |
Correct |
2 ms |
344 KB |
Output is correct |
37 |
Correct |
9 ms |
756 KB |
Output is correct |
38 |
Correct |
9 ms |
660 KB |
Output is correct |
39 |
Correct |
30 ms |
856 KB |
Output is correct |
40 |
Correct |
21 ms |
740 KB |
Output is correct |
41 |
Correct |
37 ms |
860 KB |
Output is correct |
42 |
Correct |
30 ms |
856 KB |
Output is correct |
43 |
Correct |
30 ms |
1104 KB |
Output is correct |
44 |
Correct |
55 ms |
1104 KB |
Output is correct |
45 |
Correct |
32 ms |
1108 KB |
Output is correct |
46 |
Correct |
23 ms |
496 KB |
Output is correct |
47 |
Correct |
18 ms |
856 KB |
Output is correct |
48 |
Correct |
33 ms |
1108 KB |
Output is correct |
49 |
Correct |
31 ms |
856 KB |
Output is correct |
50 |
Correct |
30 ms |
856 KB |
Output is correct |
51 |
Correct |
5 ms |
604 KB |
Output is correct |
52 |
Correct |
46 ms |
1280 KB |
Output is correct |
53 |
Correct |
30 ms |
1108 KB |
Output is correct |
54 |
Correct |
47 ms |
1108 KB |
Output is correct |
55 |
Correct |
82 ms |
1752 KB |
Output is correct |
56 |
Correct |
42 ms |
1116 KB |
Output is correct |
57 |
Correct |
90 ms |
2004 KB |
Output is correct |
58 |
Correct |
47 ms |
1216 KB |
Output is correct |
59 |
Correct |
66 ms |
1456 KB |
Output is correct |
60 |
Correct |
16 ms |
604 KB |
Output is correct |
61 |
Correct |
68 ms |
1556 KB |
Output is correct |
62 |
Correct |
76 ms |
1768 KB |
Output is correct |
63 |
Correct |
75 ms |
1752 KB |
Output is correct |
64 |
Correct |
69 ms |
1748 KB |
Output is correct |
65 |
Correct |
30 ms |
868 KB |
Output is correct |
66 |
Correct |
33 ms |
904 KB |
Output is correct |
67 |
Correct |
91 ms |
1444 KB |
Output is correct |
68 |
Correct |
25 ms |
860 KB |
Output is correct |
69 |
Correct |
232 ms |
3236 KB |
Output is correct |
70 |
Correct |
147 ms |
2120 KB |
Output is correct |
71 |
Correct |
130 ms |
2116 KB |
Output is correct |
72 |
Correct |
161 ms |
1372 KB |
Output is correct |
73 |
Correct |
146 ms |
1456 KB |
Output is correct |
74 |
Correct |
232 ms |
3280 KB |
Output is correct |
75 |
Correct |
188 ms |
2772 KB |
Output is correct |
76 |
Correct |
258 ms |
3364 KB |
Output is correct |
77 |
Correct |
268 ms |
3536 KB |
Output is correct |