#include <bits/stdc++.h>
using namespace std;
#define int long long
typedef pair<int,int> pi;
#define f first
#define s second
#define FAST ios_base::sync_with_stdio(0); cin.tie(0);
const int maxb = 50;
const int maxn = 2010;
const int INF = INT_MAX/2;
int n,A,B;
int pref[maxn];
int aa[maxn];
int dp1[110][110]; //after x items, j groups: works on not.
int dp2[2010]; //after x items: minimum number of groups
int curbm;
int cap(int x, int groups) {
if (dp1[x][groups] != -1) return dp1[x][groups];
if (groups > B) return 0;
if (x == n) {
if (groups >= A and groups <= B) return 1;
else return 0;
}
int res = 0;
for (int i = x; i < n;i++) {
int sum = pref[i] - (x == 0?0: pref[x - 1]);
bool works = true;
for (int b = 0; b < maxb and works; b++) {
if (sum & (1ll << b) and !(curbm & (1ll << b))) works = false;
}
if (works) res = max(res, cap(i+1,groups+1));
}
return dp1[x][groups] = res;
}
int cap2(int x) {
if (dp2[x] != -1) return dp2[x];
if (x == n) return 0;
int res = INF;
for (int i = x; i < n;i++) {
int sum = pref[i] - (x == 0?0: pref[x - 1]);
bool works = true;
for (int b = 0; b < maxb and works; b++) {
if (sum & (1ll << b) and !(curbm & (1ll << b))) works = false;
}
if (works) res = min(res, cap2(i+1) + 1);
}
return dp2[x] = res;
}
int32_t main() {
cin >> n >> A >> B;
for (int i =0;i<n;i++) cin >> aa[i];
for (int i =0;i<n;i++) {
pref[i] = (i==0?0:pref[i-1]) + aa[i];
}
int ans = (1ll << maxb)-1;
if (n <= 100) { //a can be > 1
//Greedy
for (int b = maxb-1; b >= 0; b--) {
curbm = ans ^ (1ll << b);
//cout << "HI: " << b << " " << curbm << "\n";
memset(dp1,-1,sizeof dp1);
if (cap(0,0)) ans = curbm; //If you can limit all groups to have bm that doesn't have (1<<b) then ans can also not have (1<<b)
}
} else { //a can only be = 1;
for (int b = maxb-1; b >= 0; b--) {
curbm = ans ^ (1ll << b);
memset(dp2,-1,sizeof dp2);
if (cap2(0) <= B) ans = curbm; //If you can limit all groups to have bm that doesn't have (1<<b) then ans can also not have (1<<b)
}
}
cout << ans;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
1 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
364 KB |
Output is correct |
| 5 |
Correct |
1 ms |
364 KB |
Output is correct |
| 6 |
Correct |
3 ms |
364 KB |
Output is correct |
| 7 |
Correct |
2 ms |
364 KB |
Output is correct |
| 8 |
Correct |
3 ms |
364 KB |
Output is correct |
| 9 |
Correct |
3 ms |
364 KB |
Output is correct |
| 10 |
Correct |
3 ms |
364 KB |
Output is correct |
| 11 |
Correct |
2 ms |
364 KB |
Output is correct |
| 12 |
Correct |
3 ms |
364 KB |
Output is correct |
| 13 |
Correct |
6 ms |
364 KB |
Output is correct |
| 14 |
Correct |
1 ms |
364 KB |
Output is correct |
| 15 |
Correct |
1 ms |
364 KB |
Output is correct |
| 16 |
Correct |
1 ms |
364 KB |
Output is correct |
| 17 |
Correct |
1 ms |
364 KB |
Output is correct |
| 18 |
Correct |
1 ms |
364 KB |
Output is correct |
| 19 |
Correct |
3 ms |
364 KB |
Output is correct |
| 20 |
Correct |
2 ms |
364 KB |
Output is correct |
| 21 |
Correct |
5 ms |
364 KB |
Output is correct |
| 22 |
Correct |
5 ms |
364 KB |
Output is correct |
| 23 |
Correct |
4 ms |
364 KB |
Output is correct |
| 24 |
Correct |
2 ms |
364 KB |
Output is correct |
| 25 |
Correct |
5 ms |
364 KB |
Output is correct |
| 26 |
Correct |
6 ms |
364 KB |
Output is correct |
| 27 |
Correct |
1 ms |
364 KB |
Output is correct |
| 28 |
Correct |
1 ms |
364 KB |
Output is correct |
| 29 |
Correct |
2 ms |
364 KB |
Output is correct |
| 30 |
Correct |
2 ms |
364 KB |
Output is correct |
| 31 |
Correct |
2 ms |
364 KB |
Output is correct |
| 32 |
Correct |
1 ms |
364 KB |
Output is correct |
| 33 |
Correct |
4 ms |
364 KB |
Output is correct |
| 34 |
Correct |
4 ms |
364 KB |
Output is correct |
| 35 |
Correct |
2 ms |
364 KB |
Output is correct |
| 36 |
Correct |
5 ms |
364 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
384 KB |
Output is correct |
| 2 |
Correct |
1 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
376 KB |
Output is correct |
| 4 |
Correct |
1 ms |
364 KB |
Output is correct |
| 5 |
Correct |
1 ms |
364 KB |
Output is correct |
| 6 |
Correct |
4 ms |
364 KB |
Output is correct |
| 7 |
Correct |
2 ms |
364 KB |
Output is correct |
| 8 |
Correct |
3 ms |
364 KB |
Output is correct |
| 9 |
Correct |
3 ms |
364 KB |
Output is correct |
| 10 |
Correct |
3 ms |
364 KB |
Output is correct |
| 11 |
Correct |
2 ms |
364 KB |
Output is correct |
| 12 |
Correct |
3 ms |
364 KB |
Output is correct |
| 13 |
Correct |
6 ms |
512 KB |
Output is correct |
| 14 |
Correct |
1 ms |
364 KB |
Output is correct |
| 15 |
Correct |
1 ms |
364 KB |
Output is correct |
| 16 |
Correct |
1 ms |
364 KB |
Output is correct |
| 17 |
Correct |
1 ms |
364 KB |
Output is correct |
| 18 |
Correct |
2 ms |
364 KB |
Output is correct |
| 19 |
Correct |
3 ms |
512 KB |
Output is correct |
| 20 |
Correct |
2 ms |
364 KB |
Output is correct |
| 21 |
Correct |
5 ms |
364 KB |
Output is correct |
| 22 |
Correct |
5 ms |
364 KB |
Output is correct |
| 23 |
Correct |
4 ms |
364 KB |
Output is correct |
| 24 |
Correct |
2 ms |
364 KB |
Output is correct |
| 25 |
Correct |
5 ms |
364 KB |
Output is correct |
| 26 |
Correct |
8 ms |
364 KB |
Output is correct |
| 27 |
Correct |
7 ms |
364 KB |
Output is correct |
| 28 |
Correct |
9 ms |
364 KB |
Output is correct |
| 29 |
Correct |
15 ms |
492 KB |
Output is correct |
| 30 |
Correct |
42 ms |
364 KB |
Output is correct |
| 31 |
Correct |
71 ms |
492 KB |
Output is correct |
| 32 |
Correct |
65 ms |
492 KB |
Output is correct |
| 33 |
Correct |
6 ms |
492 KB |
Output is correct |
| 34 |
Correct |
70 ms |
492 KB |
Output is correct |
| 35 |
Correct |
65 ms |
488 KB |
Output is correct |
| 36 |
Correct |
44 ms |
492 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
1 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
364 KB |
Output is correct |
| 5 |
Correct |
1 ms |
364 KB |
Output is correct |
| 6 |
Correct |
3 ms |
364 KB |
Output is correct |
| 7 |
Correct |
2 ms |
364 KB |
Output is correct |
| 8 |
Correct |
3 ms |
364 KB |
Output is correct |
| 9 |
Correct |
3 ms |
364 KB |
Output is correct |
| 10 |
Correct |
3 ms |
364 KB |
Output is correct |
| 11 |
Correct |
2 ms |
364 KB |
Output is correct |
| 12 |
Correct |
3 ms |
364 KB |
Output is correct |
| 13 |
Correct |
6 ms |
364 KB |
Output is correct |
| 14 |
Correct |
7 ms |
364 KB |
Output is correct |
| 15 |
Correct |
10 ms |
364 KB |
Output is correct |
| 16 |
Correct |
15 ms |
364 KB |
Output is correct |
| 17 |
Correct |
43 ms |
364 KB |
Output is correct |
| 18 |
Correct |
70 ms |
492 KB |
Output is correct |
| 19 |
Correct |
64 ms |
492 KB |
Output is correct |
| 20 |
Correct |
6 ms |
492 KB |
Output is correct |
| 21 |
Correct |
71 ms |
492 KB |
Output is correct |
| 22 |
Correct |
67 ms |
492 KB |
Output is correct |
| 23 |
Correct |
44 ms |
492 KB |
Output is correct |
| 24 |
Correct |
74 ms |
492 KB |
Output is correct |
| 25 |
Correct |
80 ms |
492 KB |
Output is correct |
| 26 |
Correct |
225 ms |
492 KB |
Output is correct |
| 27 |
Correct |
523 ms |
492 KB |
Output is correct |
| 28 |
Correct |
730 ms |
492 KB |
Output is correct |
| 29 |
Correct |
649 ms |
620 KB |
Output is correct |
| 30 |
Correct |
21 ms |
620 KB |
Output is correct |
| 31 |
Correct |
626 ms |
488 KB |
Output is correct |
| 32 |
Correct |
721 ms |
488 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
1 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
364 KB |
Output is correct |
| 5 |
Correct |
1 ms |
364 KB |
Output is correct |
| 6 |
Correct |
3 ms |
364 KB |
Output is correct |
| 7 |
Correct |
2 ms |
364 KB |
Output is correct |
| 8 |
Correct |
3 ms |
364 KB |
Output is correct |
| 9 |
Correct |
3 ms |
364 KB |
Output is correct |
| 10 |
Correct |
3 ms |
364 KB |
Output is correct |
| 11 |
Correct |
2 ms |
364 KB |
Output is correct |
| 12 |
Correct |
3 ms |
364 KB |
Output is correct |
| 13 |
Correct |
6 ms |
364 KB |
Output is correct |
| 14 |
Correct |
1 ms |
364 KB |
Output is correct |
| 15 |
Correct |
1 ms |
364 KB |
Output is correct |
| 16 |
Correct |
1 ms |
364 KB |
Output is correct |
| 17 |
Correct |
1 ms |
364 KB |
Output is correct |
| 18 |
Correct |
1 ms |
364 KB |
Output is correct |
| 19 |
Correct |
3 ms |
364 KB |
Output is correct |
| 20 |
Correct |
2 ms |
364 KB |
Output is correct |
| 21 |
Correct |
5 ms |
364 KB |
Output is correct |
| 22 |
Correct |
5 ms |
364 KB |
Output is correct |
| 23 |
Correct |
5 ms |
364 KB |
Output is correct |
| 24 |
Correct |
2 ms |
364 KB |
Output is correct |
| 25 |
Correct |
5 ms |
364 KB |
Output is correct |
| 26 |
Correct |
6 ms |
364 KB |
Output is correct |
| 27 |
Correct |
1 ms |
364 KB |
Output is correct |
| 28 |
Correct |
1 ms |
364 KB |
Output is correct |
| 29 |
Correct |
2 ms |
364 KB |
Output is correct |
| 30 |
Correct |
2 ms |
364 KB |
Output is correct |
| 31 |
Correct |
2 ms |
364 KB |
Output is correct |
| 32 |
Correct |
1 ms |
364 KB |
Output is correct |
| 33 |
Correct |
4 ms |
364 KB |
Output is correct |
| 34 |
Correct |
4 ms |
384 KB |
Output is correct |
| 35 |
Correct |
3 ms |
364 KB |
Output is correct |
| 36 |
Correct |
5 ms |
364 KB |
Output is correct |
| 37 |
Correct |
7 ms |
364 KB |
Output is correct |
| 38 |
Correct |
10 ms |
364 KB |
Output is correct |
| 39 |
Correct |
15 ms |
364 KB |
Output is correct |
| 40 |
Correct |
43 ms |
364 KB |
Output is correct |
| 41 |
Correct |
70 ms |
492 KB |
Output is correct |
| 42 |
Correct |
65 ms |
492 KB |
Output is correct |
| 43 |
Correct |
6 ms |
492 KB |
Output is correct |
| 44 |
Correct |
73 ms |
492 KB |
Output is correct |
| 45 |
Correct |
65 ms |
492 KB |
Output is correct |
| 46 |
Correct |
44 ms |
492 KB |
Output is correct |
| 47 |
Correct |
75 ms |
492 KB |
Output is correct |
| 48 |
Correct |
80 ms |
492 KB |
Output is correct |
| 49 |
Correct |
227 ms |
492 KB |
Output is correct |
| 50 |
Correct |
520 ms |
492 KB |
Output is correct |
| 51 |
Correct |
740 ms |
492 KB |
Output is correct |
| 52 |
Correct |
655 ms |
492 KB |
Output is correct |
| 53 |
Correct |
21 ms |
492 KB |
Output is correct |
| 54 |
Correct |
634 ms |
492 KB |
Output is correct |
| 55 |
Correct |
728 ms |
492 KB |
Output is correct |
| 56 |
Correct |
64 ms |
492 KB |
Output is correct |
| 57 |
Correct |
231 ms |
492 KB |
Output is correct |
| 58 |
Correct |
474 ms |
492 KB |
Output is correct |
| 59 |
Correct |
669 ms |
492 KB |
Output is correct |
| 60 |
Correct |
233 ms |
492 KB |
Output is correct |
| 61 |
Correct |
8 ms |
492 KB |
Output is correct |
| 62 |
Correct |
608 ms |
492 KB |
Output is correct |
| 63 |
Correct |
658 ms |
492 KB |
Output is correct |
| 64 |
Correct |
455 ms |
492 KB |
Output is correct |
| 65 |
Correct |
67 ms |
492 KB |
Output is correct |
| 66 |
Correct |
83 ms |
488 KB |
Output is correct |
| 67 |
Correct |
212 ms |
492 KB |
Output is correct |
| 68 |
Correct |
494 ms |
492 KB |
Output is correct |
| 69 |
Correct |
663 ms |
492 KB |
Output is correct |
| 70 |
Correct |
235 ms |
492 KB |
Output is correct |
| 71 |
Correct |
15 ms |
492 KB |
Output is correct |
| 72 |
Correct |
613 ms |
492 KB |
Output is correct |
| 73 |
Correct |
623 ms |
492 KB |
Output is correct |
| 74 |
Correct |
597 ms |
492 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
2 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
364 KB |
Output is correct |
| 5 |
Correct |
1 ms |
364 KB |
Output is correct |
| 6 |
Correct |
3 ms |
364 KB |
Output is correct |
| 7 |
Correct |
2 ms |
364 KB |
Output is correct |
| 8 |
Correct |
3 ms |
364 KB |
Output is correct |
| 9 |
Correct |
3 ms |
364 KB |
Output is correct |
| 10 |
Correct |
3 ms |
492 KB |
Output is correct |
| 11 |
Correct |
2 ms |
492 KB |
Output is correct |
| 12 |
Correct |
3 ms |
364 KB |
Output is correct |
| 13 |
Correct |
6 ms |
364 KB |
Output is correct |
| 14 |
Correct |
1 ms |
364 KB |
Output is correct |
| 15 |
Correct |
1 ms |
364 KB |
Output is correct |
| 16 |
Correct |
1 ms |
364 KB |
Output is correct |
| 17 |
Correct |
2 ms |
364 KB |
Output is correct |
| 18 |
Correct |
2 ms |
364 KB |
Output is correct |
| 19 |
Correct |
1 ms |
364 KB |
Output is correct |
| 20 |
Correct |
4 ms |
364 KB |
Output is correct |
| 21 |
Correct |
4 ms |
364 KB |
Output is correct |
| 22 |
Correct |
3 ms |
364 KB |
Output is correct |
| 23 |
Correct |
5 ms |
364 KB |
Output is correct |
| 24 |
Correct |
7 ms |
364 KB |
Output is correct |
| 25 |
Correct |
9 ms |
364 KB |
Output is correct |
| 26 |
Correct |
14 ms |
364 KB |
Output is correct |
| 27 |
Correct |
42 ms |
364 KB |
Output is correct |
| 28 |
Correct |
70 ms |
492 KB |
Output is correct |
| 29 |
Correct |
64 ms |
492 KB |
Output is correct |
| 30 |
Correct |
6 ms |
492 KB |
Output is correct |
| 31 |
Correct |
70 ms |
492 KB |
Output is correct |
| 32 |
Correct |
65 ms |
492 KB |
Output is correct |
| 33 |
Correct |
44 ms |
492 KB |
Output is correct |
| 34 |
Correct |
75 ms |
492 KB |
Output is correct |
| 35 |
Correct |
83 ms |
492 KB |
Output is correct |
| 36 |
Correct |
227 ms |
492 KB |
Output is correct |
| 37 |
Correct |
522 ms |
492 KB |
Output is correct |
| 38 |
Correct |
728 ms |
492 KB |
Output is correct |
| 39 |
Correct |
650 ms |
492 KB |
Output is correct |
| 40 |
Correct |
21 ms |
492 KB |
Output is correct |
| 41 |
Correct |
627 ms |
492 KB |
Output is correct |
| 42 |
Correct |
727 ms |
492 KB |
Output is correct |
| 43 |
Correct |
64 ms |
492 KB |
Output is correct |
| 44 |
Correct |
231 ms |
492 KB |
Output is correct |
| 45 |
Correct |
477 ms |
492 KB |
Output is correct |
| 46 |
Correct |
664 ms |
492 KB |
Output is correct |
| 47 |
Correct |
228 ms |
492 KB |
Output is correct |
| 48 |
Correct |
8 ms |
492 KB |
Output is correct |
| 49 |
Correct |
611 ms |
492 KB |
Output is correct |
| 50 |
Correct |
648 ms |
492 KB |
Output is correct |
| 51 |
Correct |
27 ms |
364 KB |
Output is correct |
| 52 |
Execution timed out |
1028 ms |
448 KB |
Time limit exceeded |
| 53 |
Halted |
0 ms |
0 KB |
- |
