//#pragma GCC optimize("Ofast")
//#pragma GCC target("avx,avx2,fma")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define ordered_set tree <pair <int, int>, null_type, less <pair <int, int> >, rb_tree_tag, tree_order_statistics_node_update>
using namespace __gnu_pbds;
#define ll long long
#define db double
#define pb push_back
#define ppb pop_back
#define fi first
#define se second
#define mp make_pair
#define size(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()
#define endl "\n"
//#define int long long
using namespace std;
void dout() {
cerr << endl;
}
template <typename Head, typename... Tail>
void dout(Head H, Tail... T) {
cerr << H << ' ';
dout(T...);
}
//mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
typedef pair <int, int> pii;
const int N = 503, K = 250001;
const pii MOD = {1e9 + 7, 1e9 + 9};
int n, a[N], ans[K], res[K];
pii dp[K];
void add(pii & x, pii y) {
x.fi += y.fi;
if (x.fi >= MOD.fi) {
x.fi -= MOD.fi;
}
x.se += y.se;
if (x.se >= MOD.se) {
x.se -= MOD.se;
}
}
void sub(pii & x, pii y) {
x.fi -= y.fi;
if (x.fi < 0) {
x.fi += MOD.fi;
}
x.se -= y.se;
if (x.se < 0) {
x.se += MOD.se;
}
}
bool exist(int x) {
return dp[x].fi > 0 || dp[x].se > 0;
}
void solve(int tc) {
// check for (int i = 0; i < n; j++)
cin >> n;
dp[0] = {1, 1};
int total = 0;
for (int i = 1; i <= n; i++) {
cin >> a[i];
total += a[i];
for (int j = K - 1; j >= a[i]; j--) {
add(dp[j], dp[j - a[i]]);
}
}
if ((total & 1) || !exist(total >> 1)) {
cout << 0;
return;
}
fill(ans, ans + K, 1);
for (int i = 1; i <= n; i++) {
for (int j = a[i]; j < K; j++) {
sub(dp[j], dp[j - a[i]]);
}
total -= a[i];
memset(res, 0, sizeof(res));
for (int j = total & 1; j <= total; j += 2) {
if (exist(total + j >> 1) || exist(total - j >> 1)) {
res[j] = 1;
}
}
for (int j = 0; j < K; j++) {
ans[j] &= res[j];
}
memset(res, 0, sizeof(res));
total += a[i];
for (int j = K - 1; j >= a[i]; j--) {
add(dp[j], dp[j - a[i]]);
}
}
int cnt = 0;
for (int i = 0; i < K; i++) {
if (ans[i]) {
cnt++;
}
}
cout << cnt << endl;
for (int i = 0; i < K; i++) {
if (ans[i]) {
cout << i << " ";
}
}
}
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
// freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
int tc = 1;
// cin >> tc;
for (int i = 0; i < tc; i++) {
solve(i);
// cleanup();
}
}
Compilation message
bootfall.cpp: In function 'void solve(int)':
bootfall.cpp:93:29: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
if (exist(total + j >> 1) || exist(total - j >> 1)) {
~~~~~~^~~
bootfall.cpp:93:54: warning: suggest parentheses around '-' inside '>>' [-Wparentheses]
if (exist(total + j >> 1) || exist(total - j >> 1)) {
~~~~~~^~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
4216 KB |
Output is correct |
2 |
Correct |
16 ms |
4344 KB |
Output is correct |
3 |
Correct |
6 ms |
2300 KB |
Output is correct |
4 |
Correct |
13 ms |
4216 KB |
Output is correct |
5 |
Correct |
26 ms |
4216 KB |
Output is correct |
6 |
Correct |
19 ms |
4344 KB |
Output is correct |
7 |
Correct |
16 ms |
4296 KB |
Output is correct |
8 |
Correct |
26 ms |
4216 KB |
Output is correct |
9 |
Correct |
22 ms |
4216 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
4216 KB |
Output is correct |
2 |
Correct |
16 ms |
4344 KB |
Output is correct |
3 |
Correct |
6 ms |
2300 KB |
Output is correct |
4 |
Correct |
13 ms |
4216 KB |
Output is correct |
5 |
Correct |
26 ms |
4216 KB |
Output is correct |
6 |
Correct |
19 ms |
4344 KB |
Output is correct |
7 |
Correct |
16 ms |
4296 KB |
Output is correct |
8 |
Correct |
26 ms |
4216 KB |
Output is correct |
9 |
Correct |
22 ms |
4216 KB |
Output is correct |
10 |
Correct |
55 ms |
4296 KB |
Output is correct |
11 |
Correct |
57 ms |
4296 KB |
Output is correct |
12 |
Correct |
56 ms |
4216 KB |
Output is correct |
13 |
Correct |
49 ms |
4216 KB |
Output is correct |
14 |
Correct |
52 ms |
4216 KB |
Output is correct |
15 |
Correct |
53 ms |
4344 KB |
Output is correct |
16 |
Correct |
56 ms |
4216 KB |
Output is correct |
17 |
Correct |
35 ms |
4216 KB |
Output is correct |
18 |
Correct |
45 ms |
4216 KB |
Output is correct |
19 |
Correct |
48 ms |
4216 KB |
Output is correct |
20 |
Correct |
55 ms |
4216 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
4216 KB |
Output is correct |
2 |
Correct |
16 ms |
4344 KB |
Output is correct |
3 |
Correct |
6 ms |
2300 KB |
Output is correct |
4 |
Correct |
13 ms |
4216 KB |
Output is correct |
5 |
Correct |
26 ms |
4216 KB |
Output is correct |
6 |
Correct |
19 ms |
4344 KB |
Output is correct |
7 |
Correct |
16 ms |
4296 KB |
Output is correct |
8 |
Correct |
26 ms |
4216 KB |
Output is correct |
9 |
Correct |
22 ms |
4216 KB |
Output is correct |
10 |
Correct |
55 ms |
4296 KB |
Output is correct |
11 |
Correct |
57 ms |
4296 KB |
Output is correct |
12 |
Correct |
56 ms |
4216 KB |
Output is correct |
13 |
Correct |
49 ms |
4216 KB |
Output is correct |
14 |
Correct |
52 ms |
4216 KB |
Output is correct |
15 |
Correct |
53 ms |
4344 KB |
Output is correct |
16 |
Correct |
56 ms |
4216 KB |
Output is correct |
17 |
Correct |
35 ms |
4216 KB |
Output is correct |
18 |
Correct |
45 ms |
4216 KB |
Output is correct |
19 |
Correct |
48 ms |
4216 KB |
Output is correct |
20 |
Correct |
55 ms |
4216 KB |
Output is correct |
21 |
Correct |
111 ms |
4372 KB |
Output is correct |
22 |
Correct |
127 ms |
4308 KB |
Output is correct |
23 |
Correct |
88 ms |
4304 KB |
Output is correct |
24 |
Correct |
166 ms |
4216 KB |
Output is correct |
25 |
Correct |
158 ms |
4328 KB |
Output is correct |
26 |
Correct |
169 ms |
4348 KB |
Output is correct |
27 |
Correct |
172 ms |
4344 KB |
Output is correct |
28 |
Correct |
168 ms |
4216 KB |
Output is correct |
29 |
Correct |
171 ms |
4372 KB |
Output is correct |
30 |
Correct |
167 ms |
4216 KB |
Output is correct |
31 |
Correct |
169 ms |
4344 KB |
Output is correct |
32 |
Correct |
168 ms |
4344 KB |
Output is correct |
33 |
Correct |
168 ms |
4436 KB |
Output is correct |
34 |
Correct |
169 ms |
4392 KB |
Output is correct |
35 |
Correct |
168 ms |
4408 KB |
Output is correct |
36 |
Correct |
171 ms |
4344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
4216 KB |
Output is correct |
2 |
Correct |
16 ms |
4344 KB |
Output is correct |
3 |
Correct |
6 ms |
2300 KB |
Output is correct |
4 |
Correct |
13 ms |
4216 KB |
Output is correct |
5 |
Correct |
26 ms |
4216 KB |
Output is correct |
6 |
Correct |
19 ms |
4344 KB |
Output is correct |
7 |
Correct |
16 ms |
4296 KB |
Output is correct |
8 |
Correct |
26 ms |
4216 KB |
Output is correct |
9 |
Correct |
22 ms |
4216 KB |
Output is correct |
10 |
Correct |
55 ms |
4296 KB |
Output is correct |
11 |
Correct |
57 ms |
4296 KB |
Output is correct |
12 |
Correct |
56 ms |
4216 KB |
Output is correct |
13 |
Correct |
49 ms |
4216 KB |
Output is correct |
14 |
Correct |
52 ms |
4216 KB |
Output is correct |
15 |
Correct |
53 ms |
4344 KB |
Output is correct |
16 |
Correct |
56 ms |
4216 KB |
Output is correct |
17 |
Correct |
35 ms |
4216 KB |
Output is correct |
18 |
Correct |
45 ms |
4216 KB |
Output is correct |
19 |
Correct |
48 ms |
4216 KB |
Output is correct |
20 |
Correct |
55 ms |
4216 KB |
Output is correct |
21 |
Correct |
111 ms |
4372 KB |
Output is correct |
22 |
Correct |
127 ms |
4308 KB |
Output is correct |
23 |
Correct |
88 ms |
4304 KB |
Output is correct |
24 |
Correct |
166 ms |
4216 KB |
Output is correct |
25 |
Correct |
158 ms |
4328 KB |
Output is correct |
26 |
Correct |
169 ms |
4348 KB |
Output is correct |
27 |
Correct |
172 ms |
4344 KB |
Output is correct |
28 |
Correct |
168 ms |
4216 KB |
Output is correct |
29 |
Correct |
171 ms |
4372 KB |
Output is correct |
30 |
Correct |
167 ms |
4216 KB |
Output is correct |
31 |
Correct |
169 ms |
4344 KB |
Output is correct |
32 |
Correct |
168 ms |
4344 KB |
Output is correct |
33 |
Correct |
168 ms |
4436 KB |
Output is correct |
34 |
Correct |
169 ms |
4392 KB |
Output is correct |
35 |
Correct |
168 ms |
4408 KB |
Output is correct |
36 |
Correct |
171 ms |
4344 KB |
Output is correct |
37 |
Correct |
332 ms |
4344 KB |
Output is correct |
38 |
Correct |
332 ms |
4304 KB |
Output is correct |
39 |
Correct |
421 ms |
4216 KB |
Output is correct |
40 |
Correct |
447 ms |
4296 KB |
Output is correct |
41 |
Correct |
466 ms |
4296 KB |
Output is correct |
42 |
Correct |
417 ms |
4396 KB |
Output is correct |
43 |
Correct |
411 ms |
4472 KB |
Output is correct |
44 |
Correct |
423 ms |
4472 KB |
Output is correct |
45 |
Correct |
419 ms |
4472 KB |
Output is correct |
46 |
Correct |
461 ms |
4304 KB |
Output is correct |
47 |
Correct |
415 ms |
4336 KB |
Output is correct |
48 |
Correct |
428 ms |
4420 KB |
Output is correct |
49 |
Correct |
428 ms |
4332 KB |
Output is correct |
50 |
Correct |
414 ms |
4472 KB |
Output is correct |
51 |
Correct |
115 ms |
2300 KB |
Output is correct |
52 |
Correct |
460 ms |
4532 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
4216 KB |
Output is correct |
2 |
Correct |
16 ms |
4344 KB |
Output is correct |
3 |
Correct |
6 ms |
2300 KB |
Output is correct |
4 |
Correct |
13 ms |
4216 KB |
Output is correct |
5 |
Correct |
26 ms |
4216 KB |
Output is correct |
6 |
Correct |
19 ms |
4344 KB |
Output is correct |
7 |
Correct |
16 ms |
4296 KB |
Output is correct |
8 |
Correct |
26 ms |
4216 KB |
Output is correct |
9 |
Correct |
22 ms |
4216 KB |
Output is correct |
10 |
Correct |
55 ms |
4296 KB |
Output is correct |
11 |
Correct |
57 ms |
4296 KB |
Output is correct |
12 |
Correct |
56 ms |
4216 KB |
Output is correct |
13 |
Correct |
49 ms |
4216 KB |
Output is correct |
14 |
Correct |
52 ms |
4216 KB |
Output is correct |
15 |
Correct |
53 ms |
4344 KB |
Output is correct |
16 |
Correct |
56 ms |
4216 KB |
Output is correct |
17 |
Correct |
35 ms |
4216 KB |
Output is correct |
18 |
Correct |
45 ms |
4216 KB |
Output is correct |
19 |
Correct |
48 ms |
4216 KB |
Output is correct |
20 |
Correct |
55 ms |
4216 KB |
Output is correct |
21 |
Correct |
111 ms |
4372 KB |
Output is correct |
22 |
Correct |
127 ms |
4308 KB |
Output is correct |
23 |
Correct |
88 ms |
4304 KB |
Output is correct |
24 |
Correct |
166 ms |
4216 KB |
Output is correct |
25 |
Correct |
158 ms |
4328 KB |
Output is correct |
26 |
Correct |
169 ms |
4348 KB |
Output is correct |
27 |
Correct |
172 ms |
4344 KB |
Output is correct |
28 |
Correct |
168 ms |
4216 KB |
Output is correct |
29 |
Correct |
171 ms |
4372 KB |
Output is correct |
30 |
Correct |
167 ms |
4216 KB |
Output is correct |
31 |
Correct |
169 ms |
4344 KB |
Output is correct |
32 |
Correct |
168 ms |
4344 KB |
Output is correct |
33 |
Correct |
168 ms |
4436 KB |
Output is correct |
34 |
Correct |
169 ms |
4392 KB |
Output is correct |
35 |
Correct |
168 ms |
4408 KB |
Output is correct |
36 |
Correct |
171 ms |
4344 KB |
Output is correct |
37 |
Correct |
332 ms |
4344 KB |
Output is correct |
38 |
Correct |
332 ms |
4304 KB |
Output is correct |
39 |
Correct |
421 ms |
4216 KB |
Output is correct |
40 |
Correct |
447 ms |
4296 KB |
Output is correct |
41 |
Correct |
466 ms |
4296 KB |
Output is correct |
42 |
Correct |
417 ms |
4396 KB |
Output is correct |
43 |
Correct |
411 ms |
4472 KB |
Output is correct |
44 |
Correct |
423 ms |
4472 KB |
Output is correct |
45 |
Correct |
419 ms |
4472 KB |
Output is correct |
46 |
Correct |
461 ms |
4304 KB |
Output is correct |
47 |
Correct |
415 ms |
4336 KB |
Output is correct |
48 |
Correct |
428 ms |
4420 KB |
Output is correct |
49 |
Correct |
428 ms |
4332 KB |
Output is correct |
50 |
Correct |
414 ms |
4472 KB |
Output is correct |
51 |
Correct |
115 ms |
2300 KB |
Output is correct |
52 |
Correct |
460 ms |
4532 KB |
Output is correct |
53 |
Correct |
503 ms |
4424 KB |
Output is correct |
54 |
Correct |
585 ms |
4472 KB |
Output is correct |
55 |
Correct |
598 ms |
4728 KB |
Output is correct |
56 |
Correct |
526 ms |
4392 KB |
Output is correct |
57 |
Correct |
612 ms |
4588 KB |
Output is correct |
58 |
Correct |
583 ms |
4472 KB |
Output is correct |
59 |
Correct |
586 ms |
4500 KB |
Output is correct |
60 |
Correct |
157 ms |
2296 KB |
Output is correct |
61 |
Correct |
589 ms |
4476 KB |
Output is correct |
62 |
Correct |
538 ms |
4688 KB |
Output is correct |
63 |
Correct |
546 ms |
4628 KB |
Output is correct |
64 |
Correct |
532 ms |
4600 KB |
Output is correct |
65 |
Correct |
531 ms |
4344 KB |
Output is correct |
66 |
Correct |
525 ms |
4372 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
4216 KB |
Output is correct |
2 |
Correct |
16 ms |
4344 KB |
Output is correct |
3 |
Correct |
6 ms |
2300 KB |
Output is correct |
4 |
Correct |
13 ms |
4216 KB |
Output is correct |
5 |
Correct |
26 ms |
4216 KB |
Output is correct |
6 |
Correct |
19 ms |
4344 KB |
Output is correct |
7 |
Correct |
16 ms |
4296 KB |
Output is correct |
8 |
Correct |
26 ms |
4216 KB |
Output is correct |
9 |
Correct |
22 ms |
4216 KB |
Output is correct |
10 |
Correct |
55 ms |
4296 KB |
Output is correct |
11 |
Correct |
57 ms |
4296 KB |
Output is correct |
12 |
Correct |
56 ms |
4216 KB |
Output is correct |
13 |
Correct |
49 ms |
4216 KB |
Output is correct |
14 |
Correct |
52 ms |
4216 KB |
Output is correct |
15 |
Correct |
53 ms |
4344 KB |
Output is correct |
16 |
Correct |
56 ms |
4216 KB |
Output is correct |
17 |
Correct |
35 ms |
4216 KB |
Output is correct |
18 |
Correct |
45 ms |
4216 KB |
Output is correct |
19 |
Correct |
48 ms |
4216 KB |
Output is correct |
20 |
Correct |
55 ms |
4216 KB |
Output is correct |
21 |
Correct |
111 ms |
4372 KB |
Output is correct |
22 |
Correct |
127 ms |
4308 KB |
Output is correct |
23 |
Correct |
88 ms |
4304 KB |
Output is correct |
24 |
Correct |
166 ms |
4216 KB |
Output is correct |
25 |
Correct |
158 ms |
4328 KB |
Output is correct |
26 |
Correct |
169 ms |
4348 KB |
Output is correct |
27 |
Correct |
172 ms |
4344 KB |
Output is correct |
28 |
Correct |
168 ms |
4216 KB |
Output is correct |
29 |
Correct |
171 ms |
4372 KB |
Output is correct |
30 |
Correct |
167 ms |
4216 KB |
Output is correct |
31 |
Correct |
169 ms |
4344 KB |
Output is correct |
32 |
Correct |
168 ms |
4344 KB |
Output is correct |
33 |
Correct |
168 ms |
4436 KB |
Output is correct |
34 |
Correct |
169 ms |
4392 KB |
Output is correct |
35 |
Correct |
168 ms |
4408 KB |
Output is correct |
36 |
Correct |
171 ms |
4344 KB |
Output is correct |
37 |
Correct |
332 ms |
4344 KB |
Output is correct |
38 |
Correct |
332 ms |
4304 KB |
Output is correct |
39 |
Correct |
421 ms |
4216 KB |
Output is correct |
40 |
Correct |
447 ms |
4296 KB |
Output is correct |
41 |
Correct |
466 ms |
4296 KB |
Output is correct |
42 |
Correct |
417 ms |
4396 KB |
Output is correct |
43 |
Correct |
411 ms |
4472 KB |
Output is correct |
44 |
Correct |
423 ms |
4472 KB |
Output is correct |
45 |
Correct |
419 ms |
4472 KB |
Output is correct |
46 |
Correct |
461 ms |
4304 KB |
Output is correct |
47 |
Correct |
415 ms |
4336 KB |
Output is correct |
48 |
Correct |
428 ms |
4420 KB |
Output is correct |
49 |
Correct |
428 ms |
4332 KB |
Output is correct |
50 |
Correct |
414 ms |
4472 KB |
Output is correct |
51 |
Correct |
115 ms |
2300 KB |
Output is correct |
52 |
Correct |
460 ms |
4532 KB |
Output is correct |
53 |
Correct |
503 ms |
4424 KB |
Output is correct |
54 |
Correct |
585 ms |
4472 KB |
Output is correct |
55 |
Correct |
598 ms |
4728 KB |
Output is correct |
56 |
Correct |
526 ms |
4392 KB |
Output is correct |
57 |
Correct |
612 ms |
4588 KB |
Output is correct |
58 |
Correct |
583 ms |
4472 KB |
Output is correct |
59 |
Correct |
586 ms |
4500 KB |
Output is correct |
60 |
Correct |
157 ms |
2296 KB |
Output is correct |
61 |
Correct |
589 ms |
4476 KB |
Output is correct |
62 |
Correct |
538 ms |
4688 KB |
Output is correct |
63 |
Correct |
546 ms |
4628 KB |
Output is correct |
64 |
Correct |
532 ms |
4600 KB |
Output is correct |
65 |
Correct |
531 ms |
4344 KB |
Output is correct |
66 |
Correct |
525 ms |
4372 KB |
Output is correct |
67 |
Correct |
672 ms |
4560 KB |
Output is correct |
68 |
Correct |
223 ms |
2344 KB |
Output is correct |
69 |
Correct |
890 ms |
5040 KB |
Output is correct |
70 |
Correct |
862 ms |
4784 KB |
Output is correct |
71 |
Correct |
855 ms |
4628 KB |
Output is correct |
72 |
Correct |
853 ms |
4344 KB |
Output is correct |
73 |
Correct |
852 ms |
4372 KB |
Output is correct |
74 |
Correct |
888 ms |
4984 KB |
Output is correct |
75 |
Correct |
867 ms |
4884 KB |
Output is correct |
76 |
Correct |
909 ms |
5012 KB |
Output is correct |
77 |
Correct |
895 ms |
5072 KB |
Output is correct |