#include<bits/stdc++.h>
using namespace std;
const int N = 250000;
const int M = 1000000;
const int MOD = 1e9 + 7;
int n;
int v[502];
int freq[1 + M];
bool dp[1 + N];
int dp2[1 + N];
int dp3[1 + N];
int firstVal[1 + N];
int lastVal[1 + N];
bool solve(int x){
int sum = 0;
for(int i = 1; i <= n; i++){
if(i != x){
sum += v[i];
}
}
if(x == 0){
int maxVal = 0;
dp[0] = 1;
dp2[0] = 1;
for(int i = 1; i <= n; i++){
for(int j = maxVal; j >= 0; j--){
if(dp[j]){
dp2[j + v[i]] = (dp2[j + v[i]] + dp2[j]) % MOD;
if(!firstVal[j + v[i]]){
firstVal[j + v[i]] = i;
}
lastVal[j + v[i]] = i;
dp[j + v[i]] = 1;
}
}
maxVal += v[i];
}
if(maxVal % 2 == 0 && dp[maxVal/2]){
return 1;
}
return 0;
}
else{
for(int j = 0; j <= sum + v[x]; j++){
dp3[j] = dp2[j];
}
for(int j = v[x]; j <= sum + v[x]; j++){
dp2[j] = (((dp2[j] - dp2[j - v[x]]) % MOD) + MOD) % MOD;
}
for(int i = 0; i <= sum/2; i++){
if(dp2[i]){
freq[sum - 2 * i]++;
}
}
for(int j = 0; j <= sum + v[x]; j++){
dp2[j] = dp3[j];
}
return true;
}
}
int main(){
cin >> n;
for(int i = 1; i <= n; i++){
cin >> v[i];
}
sort(v + 1, v + n + 1);
bool thing = solve(0);
if(thing == false){
cout << 0 << "\n";
return 0;
}
for(int i = 1; i <= n; i++) solve(i);
int ans = 0;
vector<int> val;
for(int i = 0; i <= M; i++){
if(freq[i] == n){
ans++;
val.push_back(i);
}
}
cout << ans << "\n";
for(int x : val){
cout << x << " ";
}
cout << "\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
2396 KB |
Output is correct |
2 |
Correct |
3 ms |
2480 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
3 ms |
2524 KB |
Output is correct |
5 |
Correct |
3 ms |
2396 KB |
Output is correct |
6 |
Correct |
3 ms |
2396 KB |
Output is correct |
7 |
Correct |
3 ms |
2396 KB |
Output is correct |
8 |
Correct |
4 ms |
2540 KB |
Output is correct |
9 |
Correct |
4 ms |
2392 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
2396 KB |
Output is correct |
2 |
Correct |
3 ms |
2480 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
3 ms |
2524 KB |
Output is correct |
5 |
Correct |
3 ms |
2396 KB |
Output is correct |
6 |
Correct |
3 ms |
2396 KB |
Output is correct |
7 |
Correct |
3 ms |
2396 KB |
Output is correct |
8 |
Correct |
4 ms |
2540 KB |
Output is correct |
9 |
Correct |
4 ms |
2392 KB |
Output is correct |
10 |
Correct |
3 ms |
2396 KB |
Output is correct |
11 |
Correct |
3 ms |
2488 KB |
Output is correct |
12 |
Correct |
4 ms |
2652 KB |
Output is correct |
13 |
Correct |
4 ms |
2516 KB |
Output is correct |
14 |
Correct |
4 ms |
2396 KB |
Output is correct |
15 |
Correct |
3 ms |
2396 KB |
Output is correct |
16 |
Correct |
3 ms |
2396 KB |
Output is correct |
17 |
Correct |
3 ms |
2396 KB |
Output is correct |
18 |
Correct |
3 ms |
2396 KB |
Output is correct |
19 |
Correct |
4 ms |
2396 KB |
Output is correct |
20 |
Correct |
4 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
2396 KB |
Output is correct |
2 |
Correct |
3 ms |
2480 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
3 ms |
2524 KB |
Output is correct |
5 |
Correct |
3 ms |
2396 KB |
Output is correct |
6 |
Correct |
3 ms |
2396 KB |
Output is correct |
7 |
Correct |
3 ms |
2396 KB |
Output is correct |
8 |
Correct |
4 ms |
2540 KB |
Output is correct |
9 |
Correct |
4 ms |
2392 KB |
Output is correct |
10 |
Correct |
3 ms |
2396 KB |
Output is correct |
11 |
Correct |
3 ms |
2488 KB |
Output is correct |
12 |
Correct |
4 ms |
2652 KB |
Output is correct |
13 |
Correct |
4 ms |
2516 KB |
Output is correct |
14 |
Correct |
4 ms |
2396 KB |
Output is correct |
15 |
Correct |
3 ms |
2396 KB |
Output is correct |
16 |
Correct |
3 ms |
2396 KB |
Output is correct |
17 |
Correct |
3 ms |
2396 KB |
Output is correct |
18 |
Correct |
3 ms |
2396 KB |
Output is correct |
19 |
Correct |
4 ms |
2396 KB |
Output is correct |
20 |
Correct |
4 ms |
2396 KB |
Output is correct |
21 |
Correct |
4 ms |
2392 KB |
Output is correct |
22 |
Correct |
4 ms |
2396 KB |
Output is correct |
23 |
Correct |
5 ms |
2392 KB |
Output is correct |
24 |
Correct |
5 ms |
2396 KB |
Output is correct |
25 |
Correct |
6 ms |
2652 KB |
Output is correct |
26 |
Correct |
7 ms |
2620 KB |
Output is correct |
27 |
Correct |
7 ms |
2396 KB |
Output is correct |
28 |
Correct |
7 ms |
2396 KB |
Output is correct |
29 |
Correct |
7 ms |
2392 KB |
Output is correct |
30 |
Correct |
5 ms |
2396 KB |
Output is correct |
31 |
Correct |
6 ms |
2492 KB |
Output is correct |
32 |
Correct |
5 ms |
2396 KB |
Output is correct |
33 |
Correct |
6 ms |
2636 KB |
Output is correct |
34 |
Correct |
6 ms |
2632 KB |
Output is correct |
35 |
Correct |
7 ms |
2396 KB |
Output is correct |
36 |
Correct |
5 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
2396 KB |
Output is correct |
2 |
Correct |
3 ms |
2480 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
3 ms |
2524 KB |
Output is correct |
5 |
Correct |
3 ms |
2396 KB |
Output is correct |
6 |
Correct |
3 ms |
2396 KB |
Output is correct |
7 |
Correct |
3 ms |
2396 KB |
Output is correct |
8 |
Correct |
4 ms |
2540 KB |
Output is correct |
9 |
Correct |
4 ms |
2392 KB |
Output is correct |
10 |
Correct |
3 ms |
2396 KB |
Output is correct |
11 |
Correct |
3 ms |
2488 KB |
Output is correct |
12 |
Correct |
4 ms |
2652 KB |
Output is correct |
13 |
Correct |
4 ms |
2516 KB |
Output is correct |
14 |
Correct |
4 ms |
2396 KB |
Output is correct |
15 |
Correct |
3 ms |
2396 KB |
Output is correct |
16 |
Correct |
3 ms |
2396 KB |
Output is correct |
17 |
Correct |
3 ms |
2396 KB |
Output is correct |
18 |
Correct |
3 ms |
2396 KB |
Output is correct |
19 |
Correct |
4 ms |
2396 KB |
Output is correct |
20 |
Correct |
4 ms |
2396 KB |
Output is correct |
21 |
Correct |
4 ms |
2392 KB |
Output is correct |
22 |
Correct |
4 ms |
2396 KB |
Output is correct |
23 |
Correct |
5 ms |
2392 KB |
Output is correct |
24 |
Correct |
5 ms |
2396 KB |
Output is correct |
25 |
Correct |
6 ms |
2652 KB |
Output is correct |
26 |
Correct |
7 ms |
2620 KB |
Output is correct |
27 |
Correct |
7 ms |
2396 KB |
Output is correct |
28 |
Correct |
7 ms |
2396 KB |
Output is correct |
29 |
Correct |
7 ms |
2392 KB |
Output is correct |
30 |
Correct |
5 ms |
2396 KB |
Output is correct |
31 |
Correct |
6 ms |
2492 KB |
Output is correct |
32 |
Correct |
5 ms |
2396 KB |
Output is correct |
33 |
Correct |
6 ms |
2636 KB |
Output is correct |
34 |
Correct |
6 ms |
2632 KB |
Output is correct |
35 |
Correct |
7 ms |
2396 KB |
Output is correct |
36 |
Correct |
5 ms |
2396 KB |
Output is correct |
37 |
Correct |
17 ms |
2652 KB |
Output is correct |
38 |
Correct |
17 ms |
2908 KB |
Output is correct |
39 |
Correct |
51 ms |
5212 KB |
Output is correct |
40 |
Correct |
33 ms |
4944 KB |
Output is correct |
41 |
Correct |
65 ms |
5208 KB |
Output is correct |
42 |
Correct |
30 ms |
2836 KB |
Output is correct |
43 |
Correct |
52 ms |
5456 KB |
Output is correct |
44 |
Correct |
61 ms |
5456 KB |
Output is correct |
45 |
Correct |
54 ms |
5456 KB |
Output is correct |
46 |
Correct |
29 ms |
2880 KB |
Output is correct |
47 |
Correct |
34 ms |
4940 KB |
Output is correct |
48 |
Correct |
56 ms |
5516 KB |
Output is correct |
49 |
Correct |
54 ms |
5272 KB |
Output is correct |
50 |
Correct |
32 ms |
5064 KB |
Output is correct |
51 |
Correct |
6 ms |
2652 KB |
Output is correct |
52 |
Correct |
70 ms |
5716 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
2396 KB |
Output is correct |
2 |
Correct |
3 ms |
2480 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
3 ms |
2524 KB |
Output is correct |
5 |
Correct |
3 ms |
2396 KB |
Output is correct |
6 |
Correct |
3 ms |
2396 KB |
Output is correct |
7 |
Correct |
3 ms |
2396 KB |
Output is correct |
8 |
Correct |
4 ms |
2540 KB |
Output is correct |
9 |
Correct |
4 ms |
2392 KB |
Output is correct |
10 |
Correct |
3 ms |
2396 KB |
Output is correct |
11 |
Correct |
3 ms |
2488 KB |
Output is correct |
12 |
Correct |
4 ms |
2652 KB |
Output is correct |
13 |
Correct |
4 ms |
2516 KB |
Output is correct |
14 |
Correct |
4 ms |
2396 KB |
Output is correct |
15 |
Correct |
3 ms |
2396 KB |
Output is correct |
16 |
Correct |
3 ms |
2396 KB |
Output is correct |
17 |
Correct |
3 ms |
2396 KB |
Output is correct |
18 |
Correct |
3 ms |
2396 KB |
Output is correct |
19 |
Correct |
4 ms |
2396 KB |
Output is correct |
20 |
Correct |
4 ms |
2396 KB |
Output is correct |
21 |
Correct |
4 ms |
2392 KB |
Output is correct |
22 |
Correct |
4 ms |
2396 KB |
Output is correct |
23 |
Correct |
5 ms |
2392 KB |
Output is correct |
24 |
Correct |
5 ms |
2396 KB |
Output is correct |
25 |
Correct |
6 ms |
2652 KB |
Output is correct |
26 |
Correct |
7 ms |
2620 KB |
Output is correct |
27 |
Correct |
7 ms |
2396 KB |
Output is correct |
28 |
Correct |
7 ms |
2396 KB |
Output is correct |
29 |
Correct |
7 ms |
2392 KB |
Output is correct |
30 |
Correct |
5 ms |
2396 KB |
Output is correct |
31 |
Correct |
6 ms |
2492 KB |
Output is correct |
32 |
Correct |
5 ms |
2396 KB |
Output is correct |
33 |
Correct |
6 ms |
2636 KB |
Output is correct |
34 |
Correct |
6 ms |
2632 KB |
Output is correct |
35 |
Correct |
7 ms |
2396 KB |
Output is correct |
36 |
Correct |
5 ms |
2396 KB |
Output is correct |
37 |
Correct |
17 ms |
2652 KB |
Output is correct |
38 |
Correct |
17 ms |
2908 KB |
Output is correct |
39 |
Correct |
51 ms |
5212 KB |
Output is correct |
40 |
Correct |
33 ms |
4944 KB |
Output is correct |
41 |
Correct |
65 ms |
5208 KB |
Output is correct |
42 |
Correct |
30 ms |
2836 KB |
Output is correct |
43 |
Correct |
52 ms |
5456 KB |
Output is correct |
44 |
Correct |
61 ms |
5456 KB |
Output is correct |
45 |
Correct |
54 ms |
5456 KB |
Output is correct |
46 |
Correct |
29 ms |
2880 KB |
Output is correct |
47 |
Correct |
34 ms |
4940 KB |
Output is correct |
48 |
Correct |
56 ms |
5516 KB |
Output is correct |
49 |
Correct |
54 ms |
5272 KB |
Output is correct |
50 |
Correct |
32 ms |
5064 KB |
Output is correct |
51 |
Correct |
6 ms |
2652 KB |
Output is correct |
52 |
Correct |
70 ms |
5716 KB |
Output is correct |
53 |
Correct |
50 ms |
5348 KB |
Output is correct |
54 |
Correct |
71 ms |
5460 KB |
Output is correct |
55 |
Correct |
142 ms |
6096 KB |
Output is correct |
56 |
Correct |
61 ms |
5452 KB |
Output is correct |
57 |
Correct |
152 ms |
6268 KB |
Output is correct |
58 |
Correct |
76 ms |
5536 KB |
Output is correct |
59 |
Correct |
99 ms |
5840 KB |
Output is correct |
60 |
Correct |
13 ms |
2908 KB |
Output is correct |
61 |
Correct |
110 ms |
6032 KB |
Output is correct |
62 |
Correct |
113 ms |
6092 KB |
Output is correct |
63 |
Correct |
127 ms |
6148 KB |
Output is correct |
64 |
Correct |
119 ms |
5988 KB |
Output is correct |
65 |
Correct |
49 ms |
4952 KB |
Output is correct |
66 |
Correct |
54 ms |
5176 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
2396 KB |
Output is correct |
2 |
Correct |
3 ms |
2480 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
3 ms |
2524 KB |
Output is correct |
5 |
Correct |
3 ms |
2396 KB |
Output is correct |
6 |
Correct |
3 ms |
2396 KB |
Output is correct |
7 |
Correct |
3 ms |
2396 KB |
Output is correct |
8 |
Correct |
4 ms |
2540 KB |
Output is correct |
9 |
Correct |
4 ms |
2392 KB |
Output is correct |
10 |
Correct |
3 ms |
2396 KB |
Output is correct |
11 |
Correct |
3 ms |
2488 KB |
Output is correct |
12 |
Correct |
4 ms |
2652 KB |
Output is correct |
13 |
Correct |
4 ms |
2516 KB |
Output is correct |
14 |
Correct |
4 ms |
2396 KB |
Output is correct |
15 |
Correct |
3 ms |
2396 KB |
Output is correct |
16 |
Correct |
3 ms |
2396 KB |
Output is correct |
17 |
Correct |
3 ms |
2396 KB |
Output is correct |
18 |
Correct |
3 ms |
2396 KB |
Output is correct |
19 |
Correct |
4 ms |
2396 KB |
Output is correct |
20 |
Correct |
4 ms |
2396 KB |
Output is correct |
21 |
Correct |
4 ms |
2392 KB |
Output is correct |
22 |
Correct |
4 ms |
2396 KB |
Output is correct |
23 |
Correct |
5 ms |
2392 KB |
Output is correct |
24 |
Correct |
5 ms |
2396 KB |
Output is correct |
25 |
Correct |
6 ms |
2652 KB |
Output is correct |
26 |
Correct |
7 ms |
2620 KB |
Output is correct |
27 |
Correct |
7 ms |
2396 KB |
Output is correct |
28 |
Correct |
7 ms |
2396 KB |
Output is correct |
29 |
Correct |
7 ms |
2392 KB |
Output is correct |
30 |
Correct |
5 ms |
2396 KB |
Output is correct |
31 |
Correct |
6 ms |
2492 KB |
Output is correct |
32 |
Correct |
5 ms |
2396 KB |
Output is correct |
33 |
Correct |
6 ms |
2636 KB |
Output is correct |
34 |
Correct |
6 ms |
2632 KB |
Output is correct |
35 |
Correct |
7 ms |
2396 KB |
Output is correct |
36 |
Correct |
5 ms |
2396 KB |
Output is correct |
37 |
Correct |
17 ms |
2652 KB |
Output is correct |
38 |
Correct |
17 ms |
2908 KB |
Output is correct |
39 |
Correct |
51 ms |
5212 KB |
Output is correct |
40 |
Correct |
33 ms |
4944 KB |
Output is correct |
41 |
Correct |
65 ms |
5208 KB |
Output is correct |
42 |
Correct |
30 ms |
2836 KB |
Output is correct |
43 |
Correct |
52 ms |
5456 KB |
Output is correct |
44 |
Correct |
61 ms |
5456 KB |
Output is correct |
45 |
Correct |
54 ms |
5456 KB |
Output is correct |
46 |
Correct |
29 ms |
2880 KB |
Output is correct |
47 |
Correct |
34 ms |
4940 KB |
Output is correct |
48 |
Correct |
56 ms |
5516 KB |
Output is correct |
49 |
Correct |
54 ms |
5272 KB |
Output is correct |
50 |
Correct |
32 ms |
5064 KB |
Output is correct |
51 |
Correct |
6 ms |
2652 KB |
Output is correct |
52 |
Correct |
70 ms |
5716 KB |
Output is correct |
53 |
Correct |
50 ms |
5348 KB |
Output is correct |
54 |
Correct |
71 ms |
5460 KB |
Output is correct |
55 |
Correct |
142 ms |
6096 KB |
Output is correct |
56 |
Correct |
61 ms |
5452 KB |
Output is correct |
57 |
Correct |
152 ms |
6268 KB |
Output is correct |
58 |
Correct |
76 ms |
5536 KB |
Output is correct |
59 |
Correct |
99 ms |
5840 KB |
Output is correct |
60 |
Correct |
13 ms |
2908 KB |
Output is correct |
61 |
Correct |
110 ms |
6032 KB |
Output is correct |
62 |
Correct |
113 ms |
6092 KB |
Output is correct |
63 |
Correct |
127 ms |
6148 KB |
Output is correct |
64 |
Correct |
119 ms |
5988 KB |
Output is correct |
65 |
Correct |
49 ms |
4952 KB |
Output is correct |
66 |
Correct |
54 ms |
5176 KB |
Output is correct |
67 |
Correct |
112 ms |
5856 KB |
Output is correct |
68 |
Correct |
31 ms |
3228 KB |
Output is correct |
69 |
Correct |
397 ms |
7508 KB |
Output is correct |
70 |
Correct |
229 ms |
6608 KB |
Output is correct |
71 |
Correct |
216 ms |
6420 KB |
Output is correct |
72 |
Correct |
212 ms |
5708 KB |
Output is correct |
73 |
Correct |
218 ms |
5968 KB |
Output is correct |
74 |
Correct |
412 ms |
7708 KB |
Output is correct |
75 |
Correct |
318 ms |
7028 KB |
Output is correct |
76 |
Correct |
434 ms |
7932 KB |
Output is correct |
77 |
Correct |
435 ms |
7884 KB |
Output is correct |