#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
//#include "xylophone.h"
using namespace std;
using namespace __gnu_pbds;
#define int long long
#define endl "\n"
int mod=672894013467956;//1e9+7;
const int N=505;//2e5+5;
const int M=250005;
template<class x>
using ordered_multiset = tree<x, null_type,less_equal<x>, rb_tree_tag,tree_order_statistics_node_update>;
int n,sum;
int v[N],dp[M],kk[M];
vector<int> ans;
void remove(int nm) {
for (int j=nm;j<=M;j++) {
dp[j]-=dp[j-nm];
if (dp[j]>=mod) dp[j]%=mod;
}
}
void add(int nm) {
for (int j=M;j>=nm;j--) {
dp[j]+=dp[j-nm];
if (dp[j]>=mod) dp[j]%=mod;
}
}
signed main()
{
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
//freopen(".in", "r", stdin); freopen(".out", "w", stdout);
cin>>n;
for (int i=0;i<n;i++) {
cin>>v[i];
sum+=v[i];
}
dp[0]=1;
for (int i=0;i<n;i++) {
for (int j=M;j>=v[i];j--) {
dp[j]+=dp[j-v[i]];
if (dp[j]>=mod) dp[j]%=mod;
}
}
if (dp[sum/2]==0 || sum%2!=0) {
cout<<0;
return 0;
}
for (int i=1;i<=sum;i++) {
kk[i]=1;
}
for (int i=0;i<n;i++) {
remove(v[i]);
for (int j=1;j<=sum;j++) {
int nw=sum-v[i]+j;
if (nw/2<j) {kk[j]=0; continue;}
if (dp[(nw/2)-j]==0 || (j+v[i])%2!=0) kk[j]=0;
}
add(v[i]);
}
for(int i=1;i<=M;i++) {
if (kk[i]==1) ans.push_back(i);
}
cout<<ans.size()<<endl;
for (int i:ans) cout<<i<<' ';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
2260 KB |
Output is correct |
2 |
Correct |
5 ms |
2260 KB |
Output is correct |
3 |
Correct |
2 ms |
2260 KB |
Output is correct |
4 |
Correct |
5 ms |
2260 KB |
Output is correct |
5 |
Correct |
13 ms |
2260 KB |
Output is correct |
6 |
Correct |
9 ms |
2260 KB |
Output is correct |
7 |
Correct |
6 ms |
2260 KB |
Output is correct |
8 |
Correct |
12 ms |
2260 KB |
Output is correct |
9 |
Correct |
8 ms |
2260 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
2260 KB |
Output is correct |
2 |
Correct |
5 ms |
2260 KB |
Output is correct |
3 |
Correct |
2 ms |
2260 KB |
Output is correct |
4 |
Correct |
5 ms |
2260 KB |
Output is correct |
5 |
Correct |
13 ms |
2260 KB |
Output is correct |
6 |
Correct |
9 ms |
2260 KB |
Output is correct |
7 |
Correct |
6 ms |
2260 KB |
Output is correct |
8 |
Correct |
12 ms |
2260 KB |
Output is correct |
9 |
Correct |
8 ms |
2260 KB |
Output is correct |
10 |
Correct |
24 ms |
2268 KB |
Output is correct |
11 |
Correct |
22 ms |
2288 KB |
Output is correct |
12 |
Correct |
22 ms |
2288 KB |
Output is correct |
13 |
Correct |
17 ms |
2184 KB |
Output is correct |
14 |
Correct |
18 ms |
2288 KB |
Output is correct |
15 |
Correct |
20 ms |
2284 KB |
Output is correct |
16 |
Correct |
22 ms |
2292 KB |
Output is correct |
17 |
Correct |
16 ms |
2288 KB |
Output is correct |
18 |
Correct |
18 ms |
2296 KB |
Output is correct |
19 |
Correct |
18 ms |
2288 KB |
Output is correct |
20 |
Correct |
27 ms |
2260 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
2260 KB |
Output is correct |
2 |
Correct |
5 ms |
2260 KB |
Output is correct |
3 |
Correct |
2 ms |
2260 KB |
Output is correct |
4 |
Correct |
5 ms |
2260 KB |
Output is correct |
5 |
Correct |
13 ms |
2260 KB |
Output is correct |
6 |
Correct |
9 ms |
2260 KB |
Output is correct |
7 |
Correct |
6 ms |
2260 KB |
Output is correct |
8 |
Correct |
12 ms |
2260 KB |
Output is correct |
9 |
Correct |
8 ms |
2260 KB |
Output is correct |
10 |
Correct |
24 ms |
2268 KB |
Output is correct |
11 |
Correct |
22 ms |
2288 KB |
Output is correct |
12 |
Correct |
22 ms |
2288 KB |
Output is correct |
13 |
Correct |
17 ms |
2184 KB |
Output is correct |
14 |
Correct |
18 ms |
2288 KB |
Output is correct |
15 |
Correct |
20 ms |
2284 KB |
Output is correct |
16 |
Correct |
22 ms |
2292 KB |
Output is correct |
17 |
Correct |
16 ms |
2288 KB |
Output is correct |
18 |
Correct |
18 ms |
2296 KB |
Output is correct |
19 |
Correct |
18 ms |
2288 KB |
Output is correct |
20 |
Correct |
27 ms |
2260 KB |
Output is correct |
21 |
Correct |
38 ms |
2284 KB |
Output is correct |
22 |
Correct |
45 ms |
2304 KB |
Output is correct |
23 |
Correct |
32 ms |
2308 KB |
Output is correct |
24 |
Correct |
73 ms |
2304 KB |
Output is correct |
25 |
Correct |
56 ms |
2380 KB |
Output is correct |
26 |
Correct |
57 ms |
2344 KB |
Output is correct |
27 |
Correct |
69 ms |
2332 KB |
Output is correct |
28 |
Correct |
58 ms |
2356 KB |
Output is correct |
29 |
Correct |
64 ms |
2280 KB |
Output is correct |
30 |
Correct |
62 ms |
2308 KB |
Output is correct |
31 |
Correct |
55 ms |
2336 KB |
Output is correct |
32 |
Correct |
55 ms |
2300 KB |
Output is correct |
33 |
Correct |
59 ms |
2344 KB |
Output is correct |
34 |
Correct |
55 ms |
2260 KB |
Output is correct |
35 |
Correct |
56 ms |
2356 KB |
Output is correct |
36 |
Correct |
62 ms |
2268 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
2260 KB |
Output is correct |
2 |
Correct |
5 ms |
2260 KB |
Output is correct |
3 |
Correct |
2 ms |
2260 KB |
Output is correct |
4 |
Correct |
5 ms |
2260 KB |
Output is correct |
5 |
Correct |
13 ms |
2260 KB |
Output is correct |
6 |
Correct |
9 ms |
2260 KB |
Output is correct |
7 |
Correct |
6 ms |
2260 KB |
Output is correct |
8 |
Correct |
12 ms |
2260 KB |
Output is correct |
9 |
Correct |
8 ms |
2260 KB |
Output is correct |
10 |
Correct |
24 ms |
2268 KB |
Output is correct |
11 |
Correct |
22 ms |
2288 KB |
Output is correct |
12 |
Correct |
22 ms |
2288 KB |
Output is correct |
13 |
Correct |
17 ms |
2184 KB |
Output is correct |
14 |
Correct |
18 ms |
2288 KB |
Output is correct |
15 |
Correct |
20 ms |
2284 KB |
Output is correct |
16 |
Correct |
22 ms |
2292 KB |
Output is correct |
17 |
Correct |
16 ms |
2288 KB |
Output is correct |
18 |
Correct |
18 ms |
2296 KB |
Output is correct |
19 |
Correct |
18 ms |
2288 KB |
Output is correct |
20 |
Correct |
27 ms |
2260 KB |
Output is correct |
21 |
Correct |
38 ms |
2284 KB |
Output is correct |
22 |
Correct |
45 ms |
2304 KB |
Output is correct |
23 |
Correct |
32 ms |
2308 KB |
Output is correct |
24 |
Correct |
73 ms |
2304 KB |
Output is correct |
25 |
Correct |
56 ms |
2380 KB |
Output is correct |
26 |
Correct |
57 ms |
2344 KB |
Output is correct |
27 |
Correct |
69 ms |
2332 KB |
Output is correct |
28 |
Correct |
58 ms |
2356 KB |
Output is correct |
29 |
Correct |
64 ms |
2280 KB |
Output is correct |
30 |
Correct |
62 ms |
2308 KB |
Output is correct |
31 |
Correct |
55 ms |
2336 KB |
Output is correct |
32 |
Correct |
55 ms |
2300 KB |
Output is correct |
33 |
Correct |
59 ms |
2344 KB |
Output is correct |
34 |
Correct |
55 ms |
2260 KB |
Output is correct |
35 |
Correct |
56 ms |
2356 KB |
Output is correct |
36 |
Correct |
62 ms |
2268 KB |
Output is correct |
37 |
Correct |
138 ms |
2652 KB |
Output is correct |
38 |
Correct |
120 ms |
2676 KB |
Output is correct |
39 |
Correct |
156 ms |
2660 KB |
Output is correct |
40 |
Correct |
183 ms |
2788 KB |
Output is correct |
41 |
Correct |
161 ms |
2908 KB |
Output is correct |
42 |
Correct |
158 ms |
2756 KB |
Output is correct |
43 |
Correct |
172 ms |
3168 KB |
Output is correct |
44 |
Correct |
198 ms |
3096 KB |
Output is correct |
45 |
Correct |
178 ms |
3180 KB |
Output is correct |
46 |
Correct |
164 ms |
2392 KB |
Output is correct |
47 |
Correct |
170 ms |
2780 KB |
Output is correct |
48 |
Correct |
195 ms |
3132 KB |
Output is correct |
49 |
Correct |
174 ms |
2872 KB |
Output is correct |
50 |
Correct |
168 ms |
2780 KB |
Output is correct |
51 |
Correct |
59 ms |
2268 KB |
Output is correct |
52 |
Correct |
214 ms |
3332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
2260 KB |
Output is correct |
2 |
Correct |
5 ms |
2260 KB |
Output is correct |
3 |
Correct |
2 ms |
2260 KB |
Output is correct |
4 |
Correct |
5 ms |
2260 KB |
Output is correct |
5 |
Correct |
13 ms |
2260 KB |
Output is correct |
6 |
Correct |
9 ms |
2260 KB |
Output is correct |
7 |
Correct |
6 ms |
2260 KB |
Output is correct |
8 |
Correct |
12 ms |
2260 KB |
Output is correct |
9 |
Correct |
8 ms |
2260 KB |
Output is correct |
10 |
Correct |
24 ms |
2268 KB |
Output is correct |
11 |
Correct |
22 ms |
2288 KB |
Output is correct |
12 |
Correct |
22 ms |
2288 KB |
Output is correct |
13 |
Correct |
17 ms |
2184 KB |
Output is correct |
14 |
Correct |
18 ms |
2288 KB |
Output is correct |
15 |
Correct |
20 ms |
2284 KB |
Output is correct |
16 |
Correct |
22 ms |
2292 KB |
Output is correct |
17 |
Correct |
16 ms |
2288 KB |
Output is correct |
18 |
Correct |
18 ms |
2296 KB |
Output is correct |
19 |
Correct |
18 ms |
2288 KB |
Output is correct |
20 |
Correct |
27 ms |
2260 KB |
Output is correct |
21 |
Correct |
38 ms |
2284 KB |
Output is correct |
22 |
Correct |
45 ms |
2304 KB |
Output is correct |
23 |
Correct |
32 ms |
2308 KB |
Output is correct |
24 |
Correct |
73 ms |
2304 KB |
Output is correct |
25 |
Correct |
56 ms |
2380 KB |
Output is correct |
26 |
Correct |
57 ms |
2344 KB |
Output is correct |
27 |
Correct |
69 ms |
2332 KB |
Output is correct |
28 |
Correct |
58 ms |
2356 KB |
Output is correct |
29 |
Correct |
64 ms |
2280 KB |
Output is correct |
30 |
Correct |
62 ms |
2308 KB |
Output is correct |
31 |
Correct |
55 ms |
2336 KB |
Output is correct |
32 |
Correct |
55 ms |
2300 KB |
Output is correct |
33 |
Correct |
59 ms |
2344 KB |
Output is correct |
34 |
Correct |
55 ms |
2260 KB |
Output is correct |
35 |
Correct |
56 ms |
2356 KB |
Output is correct |
36 |
Correct |
62 ms |
2268 KB |
Output is correct |
37 |
Correct |
138 ms |
2652 KB |
Output is correct |
38 |
Correct |
120 ms |
2676 KB |
Output is correct |
39 |
Correct |
156 ms |
2660 KB |
Output is correct |
40 |
Correct |
183 ms |
2788 KB |
Output is correct |
41 |
Correct |
161 ms |
2908 KB |
Output is correct |
42 |
Correct |
158 ms |
2756 KB |
Output is correct |
43 |
Correct |
172 ms |
3168 KB |
Output is correct |
44 |
Correct |
198 ms |
3096 KB |
Output is correct |
45 |
Correct |
178 ms |
3180 KB |
Output is correct |
46 |
Correct |
164 ms |
2392 KB |
Output is correct |
47 |
Correct |
170 ms |
2780 KB |
Output is correct |
48 |
Correct |
195 ms |
3132 KB |
Output is correct |
49 |
Correct |
174 ms |
2872 KB |
Output is correct |
50 |
Correct |
168 ms |
2780 KB |
Output is correct |
51 |
Correct |
59 ms |
2268 KB |
Output is correct |
52 |
Correct |
214 ms |
3332 KB |
Output is correct |
53 |
Correct |
221 ms |
3012 KB |
Output is correct |
54 |
Correct |
258 ms |
3184 KB |
Output is correct |
55 |
Correct |
352 ms |
3904 KB |
Output is correct |
56 |
Correct |
227 ms |
3220 KB |
Output is correct |
57 |
Correct |
336 ms |
3948 KB |
Output is correct |
58 |
Correct |
270 ms |
3264 KB |
Output is correct |
59 |
Correct |
300 ms |
3504 KB |
Output is correct |
60 |
Correct |
104 ms |
2268 KB |
Output is correct |
61 |
Correct |
315 ms |
3576 KB |
Output is correct |
62 |
Correct |
300 ms |
3780 KB |
Output is correct |
63 |
Correct |
304 ms |
3804 KB |
Output is correct |
64 |
Correct |
276 ms |
3836 KB |
Output is correct |
65 |
Correct |
192 ms |
2648 KB |
Output is correct |
66 |
Correct |
192 ms |
2812 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
2260 KB |
Output is correct |
2 |
Correct |
5 ms |
2260 KB |
Output is correct |
3 |
Correct |
2 ms |
2260 KB |
Output is correct |
4 |
Correct |
5 ms |
2260 KB |
Output is correct |
5 |
Correct |
13 ms |
2260 KB |
Output is correct |
6 |
Correct |
9 ms |
2260 KB |
Output is correct |
7 |
Correct |
6 ms |
2260 KB |
Output is correct |
8 |
Correct |
12 ms |
2260 KB |
Output is correct |
9 |
Correct |
8 ms |
2260 KB |
Output is correct |
10 |
Correct |
24 ms |
2268 KB |
Output is correct |
11 |
Correct |
22 ms |
2288 KB |
Output is correct |
12 |
Correct |
22 ms |
2288 KB |
Output is correct |
13 |
Correct |
17 ms |
2184 KB |
Output is correct |
14 |
Correct |
18 ms |
2288 KB |
Output is correct |
15 |
Correct |
20 ms |
2284 KB |
Output is correct |
16 |
Correct |
22 ms |
2292 KB |
Output is correct |
17 |
Correct |
16 ms |
2288 KB |
Output is correct |
18 |
Correct |
18 ms |
2296 KB |
Output is correct |
19 |
Correct |
18 ms |
2288 KB |
Output is correct |
20 |
Correct |
27 ms |
2260 KB |
Output is correct |
21 |
Correct |
38 ms |
2284 KB |
Output is correct |
22 |
Correct |
45 ms |
2304 KB |
Output is correct |
23 |
Correct |
32 ms |
2308 KB |
Output is correct |
24 |
Correct |
73 ms |
2304 KB |
Output is correct |
25 |
Correct |
56 ms |
2380 KB |
Output is correct |
26 |
Correct |
57 ms |
2344 KB |
Output is correct |
27 |
Correct |
69 ms |
2332 KB |
Output is correct |
28 |
Correct |
58 ms |
2356 KB |
Output is correct |
29 |
Correct |
64 ms |
2280 KB |
Output is correct |
30 |
Correct |
62 ms |
2308 KB |
Output is correct |
31 |
Correct |
55 ms |
2336 KB |
Output is correct |
32 |
Correct |
55 ms |
2300 KB |
Output is correct |
33 |
Correct |
59 ms |
2344 KB |
Output is correct |
34 |
Correct |
55 ms |
2260 KB |
Output is correct |
35 |
Correct |
56 ms |
2356 KB |
Output is correct |
36 |
Correct |
62 ms |
2268 KB |
Output is correct |
37 |
Correct |
138 ms |
2652 KB |
Output is correct |
38 |
Correct |
120 ms |
2676 KB |
Output is correct |
39 |
Correct |
156 ms |
2660 KB |
Output is correct |
40 |
Correct |
183 ms |
2788 KB |
Output is correct |
41 |
Correct |
161 ms |
2908 KB |
Output is correct |
42 |
Correct |
158 ms |
2756 KB |
Output is correct |
43 |
Correct |
172 ms |
3168 KB |
Output is correct |
44 |
Correct |
198 ms |
3096 KB |
Output is correct |
45 |
Correct |
178 ms |
3180 KB |
Output is correct |
46 |
Correct |
164 ms |
2392 KB |
Output is correct |
47 |
Correct |
170 ms |
2780 KB |
Output is correct |
48 |
Correct |
195 ms |
3132 KB |
Output is correct |
49 |
Correct |
174 ms |
2872 KB |
Output is correct |
50 |
Correct |
168 ms |
2780 KB |
Output is correct |
51 |
Correct |
59 ms |
2268 KB |
Output is correct |
52 |
Correct |
214 ms |
3332 KB |
Output is correct |
53 |
Correct |
221 ms |
3012 KB |
Output is correct |
54 |
Correct |
258 ms |
3184 KB |
Output is correct |
55 |
Correct |
352 ms |
3904 KB |
Output is correct |
56 |
Correct |
227 ms |
3220 KB |
Output is correct |
57 |
Correct |
336 ms |
3948 KB |
Output is correct |
58 |
Correct |
270 ms |
3264 KB |
Output is correct |
59 |
Correct |
300 ms |
3504 KB |
Output is correct |
60 |
Correct |
104 ms |
2268 KB |
Output is correct |
61 |
Correct |
315 ms |
3576 KB |
Output is correct |
62 |
Correct |
300 ms |
3780 KB |
Output is correct |
63 |
Correct |
304 ms |
3804 KB |
Output is correct |
64 |
Correct |
276 ms |
3836 KB |
Output is correct |
65 |
Correct |
192 ms |
2648 KB |
Output is correct |
66 |
Correct |
192 ms |
2812 KB |
Output is correct |
67 |
Correct |
310 ms |
3548 KB |
Output is correct |
68 |
Correct |
173 ms |
2264 KB |
Output is correct |
69 |
Correct |
673 ms |
5456 KB |
Output is correct |
70 |
Correct |
510 ms |
4292 KB |
Output is correct |
71 |
Correct |
551 ms |
4132 KB |
Output is correct |
72 |
Correct |
512 ms |
3168 KB |
Output is correct |
73 |
Correct |
486 ms |
3240 KB |
Output is correct |
74 |
Correct |
689 ms |
5716 KB |
Output is correct |
75 |
Correct |
617 ms |
4904 KB |
Output is correct |
76 |
Correct |
707 ms |
5720 KB |
Output is correct |
77 |
Correct |
723 ms |
5784 KB |
Output is correct |