#include <bits/stdc++.h>
using namespace std ;
#define int int64_t //be careful about this
#define endl "\n"
#define f(i,a,b) for(int i=int(a);i<int(b);++i)
#define pr pair
#define ar array
#define fr first
#define sc second
#define vt vector
#define pb push_back
#define eb emplace_back
#define LB lower_bound
#define UB upper_bound
#define PQ priority_queue
#define sz(x) ((int)(x).size())
#define all(a) (a).begin(),(a).end()
#define allr(a) (a).rbegin(),(a).rend()
#define mem0(a) memset(a, 0, sizeof(a))
#define mem1(a) memset(a, -1, sizeof(a))
template<class A> void rd(vt<A>& v);
template<class T> void rd(T& x){ cin >> x; }
template<class H, class... T> void rd(H& h, T&... t) { rd(h) ; rd(t...) ;}
template<class A> void rd(vt<A>& x) { for(auto& a : x) rd(a) ;}
template<class T> bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
template<typename T>
void __p(T a) {
cout<<a;
}
template<typename T, typename F>
void __p(pair<T, F> a) {
cout<<"{";
__p(a.first);
cout<<",";
__p(a.second);
cout<<"}\n";
}
template<typename T>
void __p(std::vector<T> a) {
cout<<"{";
for(auto it=a.begin(); it<a.end(); it++)
__p(*it),cout<<",}\n"[it+1==a.end()];
}
template<typename T, typename ...Arg>
void __p(T a1, Arg ...a) {
__p(a1);
__p(a...);
}
template<typename Arg1>
void __f(const char *name, Arg1 &&arg1) {
cout<<name<<" : ";
__p(arg1);
cout<<endl;
}
template<typename Arg1, typename ... Args>
void __f(const char *names, Arg1 &&arg1, Args &&... args) {
int bracket=0,i=0;
for(;; i++)
if(names[i]==','&&bracket==0)
break;
else if(names[i]=='(')
bracket++;
else if(names[i]==')')
bracket--;
const char *comma=names+i;
cout.write(names,comma-names)<<" : ";
__p(arg1);
cout<<" | ";
__f(comma+1,args...);
}
void setIO(string s = "") {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin.exceptions(cin.failbit);
cout.precision(15); cout << fixed;
#ifdef ONLINE_JUDGE
if(sz(s)){
freopen((s+".in").c_str(),"r",stdin);
freopen((s+".out").c_str(),"w",stdout);
}
#define __f(...) 0
#endif
}
const int N = 500 + 1;
bitset<N*N> ans, EMPTY, now, can, check, L[N], R[N];;
signed main(){
setIO() ;
int n; rd(n);
vt<int> a(n);
for(auto& i : a) cin >> i;
int total = accumulate(all(a),0);
{
check[0] = true;
for(auto i : a){
check |= check << i;
}
if(total%2 == 1 || !check[total/2]){
cout << 0; exit(0);
}
}
for(int i = 0; i < N*N; ++i){
ans[i] = true;
}
L[0][0] = 1;
for(int i = 1; i < n; ++i){
L[i] = L[i-1] | (L[i-1] << a[i-1]);
}
R[n-1][0] = 1;
for(int i = n-2; i >= 0; --i){
R[i] = R[i+1] | (R[i+1] << a[i+1]);
}
// optimization for to get runtime/2
for(int i = 0; i < n; ++i){
if(i < n/2){
now = R[i];
for(int j = 0; j < i; ++j){
now |= now << a[j];
}
}else{
now = L[i];
for(int j = i+1; j < n; ++j){
now |= now << a[j];
}
}
int sum = total - a[i];
can = EMPTY;
for(int i = 0; i < N*N; ++i){
if(now[i]){
int j = abs(2*i - sum);
can[j] = true;
}
}
ans &= can;
}
cout << int(ans.count()) << endl;
for(int i = 0; i < N*N; ++i){
if(ans[i]) cout << i << ' ' ;
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
588 KB |
Output is correct |
2 |
Correct |
4 ms |
716 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
3 ms |
588 KB |
Output is correct |
5 |
Correct |
6 ms |
1108 KB |
Output is correct |
6 |
Correct |
5 ms |
844 KB |
Output is correct |
7 |
Correct |
5 ms |
716 KB |
Output is correct |
8 |
Correct |
7 ms |
1100 KB |
Output is correct |
9 |
Correct |
5 ms |
972 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
588 KB |
Output is correct |
2 |
Correct |
4 ms |
716 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
3 ms |
588 KB |
Output is correct |
5 |
Correct |
6 ms |
1108 KB |
Output is correct |
6 |
Correct |
5 ms |
844 KB |
Output is correct |
7 |
Correct |
5 ms |
716 KB |
Output is correct |
8 |
Correct |
7 ms |
1100 KB |
Output is correct |
9 |
Correct |
5 ms |
972 KB |
Output is correct |
10 |
Correct |
15 ms |
2292 KB |
Output is correct |
11 |
Correct |
16 ms |
2252 KB |
Output is correct |
12 |
Correct |
15 ms |
2252 KB |
Output is correct |
13 |
Correct |
13 ms |
1928 KB |
Output is correct |
14 |
Correct |
13 ms |
2124 KB |
Output is correct |
15 |
Correct |
14 ms |
2172 KB |
Output is correct |
16 |
Correct |
14 ms |
2296 KB |
Output is correct |
17 |
Correct |
9 ms |
1484 KB |
Output is correct |
18 |
Correct |
11 ms |
1868 KB |
Output is correct |
19 |
Correct |
12 ms |
2048 KB |
Output is correct |
20 |
Correct |
15 ms |
2252 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
588 KB |
Output is correct |
2 |
Correct |
4 ms |
716 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
3 ms |
588 KB |
Output is correct |
5 |
Correct |
6 ms |
1108 KB |
Output is correct |
6 |
Correct |
5 ms |
844 KB |
Output is correct |
7 |
Correct |
5 ms |
716 KB |
Output is correct |
8 |
Correct |
7 ms |
1100 KB |
Output is correct |
9 |
Correct |
5 ms |
972 KB |
Output is correct |
10 |
Correct |
15 ms |
2292 KB |
Output is correct |
11 |
Correct |
16 ms |
2252 KB |
Output is correct |
12 |
Correct |
15 ms |
2252 KB |
Output is correct |
13 |
Correct |
13 ms |
1928 KB |
Output is correct |
14 |
Correct |
13 ms |
2124 KB |
Output is correct |
15 |
Correct |
14 ms |
2172 KB |
Output is correct |
16 |
Correct |
14 ms |
2296 KB |
Output is correct |
17 |
Correct |
9 ms |
1484 KB |
Output is correct |
18 |
Correct |
11 ms |
1868 KB |
Output is correct |
19 |
Correct |
12 ms |
2048 KB |
Output is correct |
20 |
Correct |
15 ms |
2252 KB |
Output is correct |
21 |
Correct |
34 ms |
4376 KB |
Output is correct |
22 |
Correct |
42 ms |
4992 KB |
Output is correct |
23 |
Correct |
25 ms |
3532 KB |
Output is correct |
24 |
Correct |
70 ms |
6200 KB |
Output is correct |
25 |
Correct |
59 ms |
6220 KB |
Output is correct |
26 |
Correct |
60 ms |
6584 KB |
Output is correct |
27 |
Correct |
63 ms |
6576 KB |
Output is correct |
28 |
Correct |
59 ms |
6588 KB |
Output is correct |
29 |
Correct |
61 ms |
6588 KB |
Output is correct |
30 |
Correct |
70 ms |
6576 KB |
Output is correct |
31 |
Correct |
60 ms |
6576 KB |
Output is correct |
32 |
Correct |
60 ms |
6572 KB |
Output is correct |
33 |
Correct |
59 ms |
6476 KB |
Output is correct |
34 |
Correct |
59 ms |
6576 KB |
Output is correct |
35 |
Correct |
59 ms |
6572 KB |
Output is correct |
36 |
Correct |
74 ms |
6576 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
588 KB |
Output is correct |
2 |
Correct |
4 ms |
716 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
3 ms |
588 KB |
Output is correct |
5 |
Correct |
6 ms |
1108 KB |
Output is correct |
6 |
Correct |
5 ms |
844 KB |
Output is correct |
7 |
Correct |
5 ms |
716 KB |
Output is correct |
8 |
Correct |
7 ms |
1100 KB |
Output is correct |
9 |
Correct |
5 ms |
972 KB |
Output is correct |
10 |
Correct |
15 ms |
2292 KB |
Output is correct |
11 |
Correct |
16 ms |
2252 KB |
Output is correct |
12 |
Correct |
15 ms |
2252 KB |
Output is correct |
13 |
Correct |
13 ms |
1928 KB |
Output is correct |
14 |
Correct |
13 ms |
2124 KB |
Output is correct |
15 |
Correct |
14 ms |
2172 KB |
Output is correct |
16 |
Correct |
14 ms |
2296 KB |
Output is correct |
17 |
Correct |
9 ms |
1484 KB |
Output is correct |
18 |
Correct |
11 ms |
1868 KB |
Output is correct |
19 |
Correct |
12 ms |
2048 KB |
Output is correct |
20 |
Correct |
15 ms |
2252 KB |
Output is correct |
21 |
Correct |
34 ms |
4376 KB |
Output is correct |
22 |
Correct |
42 ms |
4992 KB |
Output is correct |
23 |
Correct |
25 ms |
3532 KB |
Output is correct |
24 |
Correct |
70 ms |
6200 KB |
Output is correct |
25 |
Correct |
59 ms |
6220 KB |
Output is correct |
26 |
Correct |
60 ms |
6584 KB |
Output is correct |
27 |
Correct |
63 ms |
6576 KB |
Output is correct |
28 |
Correct |
59 ms |
6588 KB |
Output is correct |
29 |
Correct |
61 ms |
6588 KB |
Output is correct |
30 |
Correct |
70 ms |
6576 KB |
Output is correct |
31 |
Correct |
60 ms |
6576 KB |
Output is correct |
32 |
Correct |
60 ms |
6572 KB |
Output is correct |
33 |
Correct |
59 ms |
6476 KB |
Output is correct |
34 |
Correct |
59 ms |
6576 KB |
Output is correct |
35 |
Correct |
59 ms |
6572 KB |
Output is correct |
36 |
Correct |
74 ms |
6576 KB |
Output is correct |
37 |
Correct |
168 ms |
12724 KB |
Output is correct |
38 |
Correct |
168 ms |
12740 KB |
Output is correct |
39 |
Correct |
242 ms |
15672 KB |
Output is correct |
40 |
Correct |
271 ms |
17092 KB |
Output is correct |
41 |
Correct |
257 ms |
17004 KB |
Output is correct |
42 |
Correct |
235 ms |
15780 KB |
Output is correct |
43 |
Correct |
237 ms |
15552 KB |
Output is correct |
44 |
Correct |
256 ms |
15792 KB |
Output is correct |
45 |
Correct |
276 ms |
15924 KB |
Output is correct |
46 |
Correct |
269 ms |
17012 KB |
Output is correct |
47 |
Correct |
254 ms |
15780 KB |
Output is correct |
48 |
Correct |
260 ms |
15784 KB |
Output is correct |
49 |
Correct |
238 ms |
15816 KB |
Output is correct |
50 |
Correct |
241 ms |
15784 KB |
Output is correct |
51 |
Correct |
4 ms |
332 KB |
Output is correct |
52 |
Correct |
296 ms |
17140 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
588 KB |
Output is correct |
2 |
Correct |
4 ms |
716 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
3 ms |
588 KB |
Output is correct |
5 |
Correct |
6 ms |
1108 KB |
Output is correct |
6 |
Correct |
5 ms |
844 KB |
Output is correct |
7 |
Correct |
5 ms |
716 KB |
Output is correct |
8 |
Correct |
7 ms |
1100 KB |
Output is correct |
9 |
Correct |
5 ms |
972 KB |
Output is correct |
10 |
Correct |
15 ms |
2292 KB |
Output is correct |
11 |
Correct |
16 ms |
2252 KB |
Output is correct |
12 |
Correct |
15 ms |
2252 KB |
Output is correct |
13 |
Correct |
13 ms |
1928 KB |
Output is correct |
14 |
Correct |
13 ms |
2124 KB |
Output is correct |
15 |
Correct |
14 ms |
2172 KB |
Output is correct |
16 |
Correct |
14 ms |
2296 KB |
Output is correct |
17 |
Correct |
9 ms |
1484 KB |
Output is correct |
18 |
Correct |
11 ms |
1868 KB |
Output is correct |
19 |
Correct |
12 ms |
2048 KB |
Output is correct |
20 |
Correct |
15 ms |
2252 KB |
Output is correct |
21 |
Correct |
34 ms |
4376 KB |
Output is correct |
22 |
Correct |
42 ms |
4992 KB |
Output is correct |
23 |
Correct |
25 ms |
3532 KB |
Output is correct |
24 |
Correct |
70 ms |
6200 KB |
Output is correct |
25 |
Correct |
59 ms |
6220 KB |
Output is correct |
26 |
Correct |
60 ms |
6584 KB |
Output is correct |
27 |
Correct |
63 ms |
6576 KB |
Output is correct |
28 |
Correct |
59 ms |
6588 KB |
Output is correct |
29 |
Correct |
61 ms |
6588 KB |
Output is correct |
30 |
Correct |
70 ms |
6576 KB |
Output is correct |
31 |
Correct |
60 ms |
6576 KB |
Output is correct |
32 |
Correct |
60 ms |
6572 KB |
Output is correct |
33 |
Correct |
59 ms |
6476 KB |
Output is correct |
34 |
Correct |
59 ms |
6576 KB |
Output is correct |
35 |
Correct |
59 ms |
6572 KB |
Output is correct |
36 |
Correct |
74 ms |
6576 KB |
Output is correct |
37 |
Correct |
168 ms |
12724 KB |
Output is correct |
38 |
Correct |
168 ms |
12740 KB |
Output is correct |
39 |
Correct |
242 ms |
15672 KB |
Output is correct |
40 |
Correct |
271 ms |
17092 KB |
Output is correct |
41 |
Correct |
257 ms |
17004 KB |
Output is correct |
42 |
Correct |
235 ms |
15780 KB |
Output is correct |
43 |
Correct |
237 ms |
15552 KB |
Output is correct |
44 |
Correct |
256 ms |
15792 KB |
Output is correct |
45 |
Correct |
276 ms |
15924 KB |
Output is correct |
46 |
Correct |
269 ms |
17012 KB |
Output is correct |
47 |
Correct |
254 ms |
15780 KB |
Output is correct |
48 |
Correct |
260 ms |
15784 KB |
Output is correct |
49 |
Correct |
238 ms |
15816 KB |
Output is correct |
50 |
Correct |
241 ms |
15784 KB |
Output is correct |
51 |
Correct |
4 ms |
332 KB |
Output is correct |
52 |
Correct |
296 ms |
17140 KB |
Output is correct |
53 |
Correct |
324 ms |
18980 KB |
Output is correct |
54 |
Correct |
422 ms |
22056 KB |
Output is correct |
55 |
Correct |
457 ms |
22184 KB |
Output is correct |
56 |
Correct |
344 ms |
19396 KB |
Output is correct |
57 |
Correct |
457 ms |
22188 KB |
Output is correct |
58 |
Correct |
435 ms |
22056 KB |
Output is correct |
59 |
Correct |
441 ms |
22132 KB |
Output is correct |
60 |
Correct |
5 ms |
412 KB |
Output is correct |
61 |
Correct |
446 ms |
22168 KB |
Output is correct |
62 |
Correct |
391 ms |
20340 KB |
Output is correct |
63 |
Correct |
416 ms |
20380 KB |
Output is correct |
64 |
Correct |
377 ms |
19908 KB |
Output is correct |
65 |
Correct |
334 ms |
19852 KB |
Output is correct |
66 |
Correct |
326 ms |
19472 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
588 KB |
Output is correct |
2 |
Correct |
4 ms |
716 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
3 ms |
588 KB |
Output is correct |
5 |
Correct |
6 ms |
1108 KB |
Output is correct |
6 |
Correct |
5 ms |
844 KB |
Output is correct |
7 |
Correct |
5 ms |
716 KB |
Output is correct |
8 |
Correct |
7 ms |
1100 KB |
Output is correct |
9 |
Correct |
5 ms |
972 KB |
Output is correct |
10 |
Correct |
15 ms |
2292 KB |
Output is correct |
11 |
Correct |
16 ms |
2252 KB |
Output is correct |
12 |
Correct |
15 ms |
2252 KB |
Output is correct |
13 |
Correct |
13 ms |
1928 KB |
Output is correct |
14 |
Correct |
13 ms |
2124 KB |
Output is correct |
15 |
Correct |
14 ms |
2172 KB |
Output is correct |
16 |
Correct |
14 ms |
2296 KB |
Output is correct |
17 |
Correct |
9 ms |
1484 KB |
Output is correct |
18 |
Correct |
11 ms |
1868 KB |
Output is correct |
19 |
Correct |
12 ms |
2048 KB |
Output is correct |
20 |
Correct |
15 ms |
2252 KB |
Output is correct |
21 |
Correct |
34 ms |
4376 KB |
Output is correct |
22 |
Correct |
42 ms |
4992 KB |
Output is correct |
23 |
Correct |
25 ms |
3532 KB |
Output is correct |
24 |
Correct |
70 ms |
6200 KB |
Output is correct |
25 |
Correct |
59 ms |
6220 KB |
Output is correct |
26 |
Correct |
60 ms |
6584 KB |
Output is correct |
27 |
Correct |
63 ms |
6576 KB |
Output is correct |
28 |
Correct |
59 ms |
6588 KB |
Output is correct |
29 |
Correct |
61 ms |
6588 KB |
Output is correct |
30 |
Correct |
70 ms |
6576 KB |
Output is correct |
31 |
Correct |
60 ms |
6576 KB |
Output is correct |
32 |
Correct |
60 ms |
6572 KB |
Output is correct |
33 |
Correct |
59 ms |
6476 KB |
Output is correct |
34 |
Correct |
59 ms |
6576 KB |
Output is correct |
35 |
Correct |
59 ms |
6572 KB |
Output is correct |
36 |
Correct |
74 ms |
6576 KB |
Output is correct |
37 |
Correct |
168 ms |
12724 KB |
Output is correct |
38 |
Correct |
168 ms |
12740 KB |
Output is correct |
39 |
Correct |
242 ms |
15672 KB |
Output is correct |
40 |
Correct |
271 ms |
17092 KB |
Output is correct |
41 |
Correct |
257 ms |
17004 KB |
Output is correct |
42 |
Correct |
235 ms |
15780 KB |
Output is correct |
43 |
Correct |
237 ms |
15552 KB |
Output is correct |
44 |
Correct |
256 ms |
15792 KB |
Output is correct |
45 |
Correct |
276 ms |
15924 KB |
Output is correct |
46 |
Correct |
269 ms |
17012 KB |
Output is correct |
47 |
Correct |
254 ms |
15780 KB |
Output is correct |
48 |
Correct |
260 ms |
15784 KB |
Output is correct |
49 |
Correct |
238 ms |
15816 KB |
Output is correct |
50 |
Correct |
241 ms |
15784 KB |
Output is correct |
51 |
Correct |
4 ms |
332 KB |
Output is correct |
52 |
Correct |
296 ms |
17140 KB |
Output is correct |
53 |
Correct |
324 ms |
18980 KB |
Output is correct |
54 |
Correct |
422 ms |
22056 KB |
Output is correct |
55 |
Correct |
457 ms |
22184 KB |
Output is correct |
56 |
Correct |
344 ms |
19396 KB |
Output is correct |
57 |
Correct |
457 ms |
22188 KB |
Output is correct |
58 |
Correct |
435 ms |
22056 KB |
Output is correct |
59 |
Correct |
441 ms |
22132 KB |
Output is correct |
60 |
Correct |
5 ms |
412 KB |
Output is correct |
61 |
Correct |
446 ms |
22168 KB |
Output is correct |
62 |
Correct |
391 ms |
20340 KB |
Output is correct |
63 |
Correct |
416 ms |
20380 KB |
Output is correct |
64 |
Correct |
377 ms |
19908 KB |
Output is correct |
65 |
Correct |
334 ms |
19852 KB |
Output is correct |
66 |
Correct |
326 ms |
19472 KB |
Output is correct |
67 |
Correct |
541 ms |
25124 KB |
Output is correct |
68 |
Correct |
6 ms |
332 KB |
Output is correct |
69 |
Correct |
871 ms |
31776 KB |
Output is correct |
70 |
Correct |
821 ms |
31568 KB |
Output is correct |
71 |
Correct |
820 ms |
31524 KB |
Output is correct |
72 |
Correct |
826 ms |
31252 KB |
Output is correct |
73 |
Correct |
850 ms |
31076 KB |
Output is correct |
74 |
Correct |
909 ms |
31648 KB |
Output is correct |
75 |
Correct |
888 ms |
31476 KB |
Output is correct |
76 |
Correct |
899 ms |
31776 KB |
Output is correct |
77 |
Correct |
921 ms |
31776 KB |
Output is correct |