#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 = 43;
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]);
if ((sum & curbm) == 0) 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]);
if ((sum & curbm) == 0) res = min(res, cap2(i+1) + 1);
}
return dp2[x] = res;
}
int32_t main() {
FAST
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 = (1ll << maxb) - 1;
curbm ^= (ans ^ (1ll << b));
memset(dp1,-1,sizeof dp1);
if (cap(0,0)) ans ^= (1ll << b); //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 = (1ll << maxb) - 1;
curbm ^= (ans ^ (1ll << b)); //All of the bits that cannot be on.
memset(dp2,-1,sizeof dp2);
if (cap2(0) <= B) ans ^= (1ll << b);
}
}
cout << ans;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
492 KB |
Output is correct |
2 |
Correct |
1 ms |
492 KB |
Output is correct |
3 |
Correct |
1 ms |
492 KB |
Output is correct |
4 |
Correct |
1 ms |
492 KB |
Output is correct |
5 |
Correct |
1 ms |
492 KB |
Output is correct |
6 |
Correct |
1 ms |
492 KB |
Output is correct |
7 |
Correct |
1 ms |
492 KB |
Output is correct |
8 |
Correct |
1 ms |
492 KB |
Output is correct |
9 |
Correct |
1 ms |
492 KB |
Output is correct |
10 |
Correct |
1 ms |
492 KB |
Output is correct |
11 |
Correct |
1 ms |
492 KB |
Output is correct |
12 |
Correct |
1 ms |
492 KB |
Output is correct |
13 |
Correct |
1 ms |
492 KB |
Output is correct |
14 |
Correct |
1 ms |
492 KB |
Output is correct |
15 |
Correct |
1 ms |
492 KB |
Output is correct |
16 |
Correct |
1 ms |
492 KB |
Output is correct |
17 |
Correct |
1 ms |
492 KB |
Output is correct |
18 |
Correct |
1 ms |
492 KB |
Output is correct |
19 |
Correct |
1 ms |
512 KB |
Output is correct |
20 |
Correct |
1 ms |
492 KB |
Output is correct |
21 |
Correct |
1 ms |
492 KB |
Output is correct |
22 |
Correct |
1 ms |
492 KB |
Output is correct |
23 |
Correct |
1 ms |
492 KB |
Output is correct |
24 |
Correct |
1 ms |
492 KB |
Output is correct |
25 |
Correct |
1 ms |
640 KB |
Output is correct |
26 |
Correct |
1 ms |
492 KB |
Output is correct |
27 |
Correct |
1 ms |
492 KB |
Output is correct |
28 |
Correct |
1 ms |
492 KB |
Output is correct |
29 |
Correct |
1 ms |
492 KB |
Output is correct |
30 |
Correct |
1 ms |
492 KB |
Output is correct |
31 |
Correct |
1 ms |
492 KB |
Output is correct |
32 |
Correct |
1 ms |
492 KB |
Output is correct |
33 |
Correct |
1 ms |
492 KB |
Output is correct |
34 |
Correct |
1 ms |
492 KB |
Output is correct |
35 |
Correct |
1 ms |
492 KB |
Output is correct |
36 |
Correct |
1 ms |
492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
492 KB |
Output is correct |
2 |
Correct |
1 ms |
492 KB |
Output is correct |
3 |
Correct |
1 ms |
492 KB |
Output is correct |
4 |
Correct |
1 ms |
492 KB |
Output is correct |
5 |
Correct |
1 ms |
492 KB |
Output is correct |
6 |
Correct |
1 ms |
492 KB |
Output is correct |
7 |
Correct |
1 ms |
492 KB |
Output is correct |
8 |
Correct |
1 ms |
492 KB |
Output is correct |
9 |
Correct |
1 ms |
492 KB |
Output is correct |
10 |
Correct |
1 ms |
492 KB |
Output is correct |
11 |
Correct |
1 ms |
492 KB |
Output is correct |
12 |
Correct |
1 ms |
492 KB |
Output is correct |
13 |
Correct |
1 ms |
492 KB |
Output is correct |
14 |
Correct |
1 ms |
492 KB |
Output is correct |
15 |
Correct |
1 ms |
492 KB |
Output is correct |
16 |
Correct |
1 ms |
492 KB |
Output is correct |
17 |
Correct |
1 ms |
492 KB |
Output is correct |
18 |
Correct |
1 ms |
492 KB |
Output is correct |
19 |
Correct |
1 ms |
492 KB |
Output is correct |
20 |
Correct |
1 ms |
492 KB |
Output is correct |
21 |
Correct |
1 ms |
492 KB |
Output is correct |
22 |
Correct |
1 ms |
492 KB |
Output is correct |
23 |
Correct |
1 ms |
492 KB |
Output is correct |
24 |
Correct |
1 ms |
492 KB |
Output is correct |
25 |
Correct |
1 ms |
492 KB |
Output is correct |
26 |
Correct |
1 ms |
492 KB |
Output is correct |
27 |
Correct |
1 ms |
492 KB |
Output is correct |
28 |
Correct |
2 ms |
492 KB |
Output is correct |
29 |
Correct |
2 ms |
492 KB |
Output is correct |
30 |
Correct |
3 ms |
492 KB |
Output is correct |
31 |
Correct |
4 ms |
492 KB |
Output is correct |
32 |
Correct |
5 ms |
492 KB |
Output is correct |
33 |
Correct |
1 ms |
492 KB |
Output is correct |
34 |
Correct |
5 ms |
492 KB |
Output is correct |
35 |
Correct |
6 ms |
512 KB |
Output is correct |
36 |
Correct |
3 ms |
512 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
492 KB |
Output is correct |
2 |
Correct |
38 ms |
492 KB |
Output is correct |
3 |
Correct |
1 ms |
492 KB |
Output is correct |
4 |
Correct |
1 ms |
512 KB |
Output is correct |
5 |
Correct |
36 ms |
492 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
1 ms |
492 KB |
Output is correct |
8 |
Correct |
1 ms |
492 KB |
Output is correct |
9 |
Correct |
1 ms |
492 KB |
Output is correct |
10 |
Correct |
1 ms |
492 KB |
Output is correct |
11 |
Correct |
1 ms |
492 KB |
Output is correct |
12 |
Correct |
1 ms |
492 KB |
Output is correct |
13 |
Correct |
1 ms |
492 KB |
Output is correct |
14 |
Correct |
1 ms |
492 KB |
Output is correct |
15 |
Correct |
1 ms |
492 KB |
Output is correct |
16 |
Correct |
2 ms |
620 KB |
Output is correct |
17 |
Correct |
3 ms |
492 KB |
Output is correct |
18 |
Correct |
5 ms |
620 KB |
Output is correct |
19 |
Correct |
5 ms |
492 KB |
Output is correct |
20 |
Correct |
1 ms |
492 KB |
Output is correct |
21 |
Correct |
5 ms |
492 KB |
Output is correct |
22 |
Correct |
4 ms |
492 KB |
Output is correct |
23 |
Correct |
3 ms |
492 KB |
Output is correct |
24 |
Correct |
5 ms |
492 KB |
Output is correct |
25 |
Correct |
5 ms |
492 KB |
Output is correct |
26 |
Correct |
12 ms |
384 KB |
Output is correct |
27 |
Correct |
26 ms |
492 KB |
Output is correct |
28 |
Correct |
36 ms |
492 KB |
Output is correct |
29 |
Correct |
36 ms |
492 KB |
Output is correct |
30 |
Correct |
2 ms |
492 KB |
Output is correct |
31 |
Correct |
31 ms |
620 KB |
Output is correct |
32 |
Correct |
35 ms |
492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
492 KB |
Output is correct |
2 |
Correct |
1 ms |
620 KB |
Output is correct |
3 |
Correct |
1 ms |
492 KB |
Output is correct |
4 |
Correct |
1 ms |
492 KB |
Output is correct |
5 |
Correct |
1 ms |
492 KB |
Output is correct |
6 |
Correct |
1 ms |
492 KB |
Output is correct |
7 |
Correct |
1 ms |
492 KB |
Output is correct |
8 |
Correct |
1 ms |
492 KB |
Output is correct |
9 |
Correct |
1 ms |
492 KB |
Output is correct |
10 |
Correct |
1 ms |
492 KB |
Output is correct |
11 |
Correct |
1 ms |
492 KB |
Output is correct |
12 |
Correct |
1 ms |
492 KB |
Output is correct |
13 |
Correct |
1 ms |
492 KB |
Output is correct |
14 |
Correct |
1 ms |
492 KB |
Output is correct |
15 |
Correct |
1 ms |
492 KB |
Output is correct |
16 |
Correct |
1 ms |
492 KB |
Output is correct |
17 |
Correct |
1 ms |
492 KB |
Output is correct |
18 |
Correct |
1 ms |
492 KB |
Output is correct |
19 |
Correct |
1 ms |
492 KB |
Output is correct |
20 |
Correct |
1 ms |
492 KB |
Output is correct |
21 |
Correct |
1 ms |
492 KB |
Output is correct |
22 |
Correct |
33 ms |
492 KB |
Output is correct |
23 |
Correct |
1 ms |
512 KB |
Output is correct |
24 |
Correct |
1 ms |
492 KB |
Output is correct |
25 |
Correct |
1 ms |
492 KB |
Output is correct |
26 |
Correct |
1 ms |
492 KB |
Output is correct |
27 |
Correct |
1 ms |
492 KB |
Output is correct |
28 |
Correct |
1 ms |
492 KB |
Output is correct |
29 |
Correct |
1 ms |
492 KB |
Output is correct |
30 |
Correct |
1 ms |
492 KB |
Output is correct |
31 |
Correct |
1 ms |
492 KB |
Output is correct |
32 |
Correct |
1 ms |
492 KB |
Output is correct |
33 |
Correct |
1 ms |
492 KB |
Output is correct |
34 |
Correct |
1 ms |
492 KB |
Output is correct |
35 |
Correct |
1 ms |
492 KB |
Output is correct |
36 |
Correct |
1 ms |
492 KB |
Output is correct |
37 |
Correct |
1 ms |
492 KB |
Output is correct |
38 |
Correct |
1 ms |
492 KB |
Output is correct |
39 |
Correct |
2 ms |
492 KB |
Output is correct |
40 |
Correct |
3 ms |
492 KB |
Output is correct |
41 |
Correct |
71 ms |
492 KB |
Output is correct |
42 |
Correct |
4 ms |
492 KB |
Output is correct |
43 |
Correct |
1 ms |
492 KB |
Output is correct |
44 |
Correct |
5 ms |
492 KB |
Output is correct |
45 |
Correct |
36 ms |
492 KB |
Output is correct |
46 |
Correct |
3 ms |
512 KB |
Output is correct |
47 |
Correct |
5 ms |
492 KB |
Output is correct |
48 |
Correct |
5 ms |
492 KB |
Output is correct |
49 |
Correct |
12 ms |
492 KB |
Output is correct |
50 |
Correct |
27 ms |
492 KB |
Output is correct |
51 |
Correct |
36 ms |
492 KB |
Output is correct |
52 |
Correct |
35 ms |
492 KB |
Output is correct |
53 |
Correct |
2 ms |
492 KB |
Output is correct |
54 |
Correct |
31 ms |
492 KB |
Output is correct |
55 |
Correct |
35 ms |
492 KB |
Output is correct |
56 |
Correct |
2 ms |
492 KB |
Output is correct |
57 |
Correct |
4 ms |
492 KB |
Output is correct |
58 |
Correct |
8 ms |
492 KB |
Output is correct |
59 |
Correct |
12 ms |
492 KB |
Output is correct |
60 |
Correct |
10 ms |
492 KB |
Output is correct |
61 |
Correct |
1 ms |
492 KB |
Output is correct |
62 |
Correct |
14 ms |
492 KB |
Output is correct |
63 |
Correct |
14 ms |
492 KB |
Output is correct |
64 |
Correct |
30 ms |
492 KB |
Output is correct |
65 |
Correct |
2 ms |
492 KB |
Output is correct |
66 |
Correct |
2 ms |
492 KB |
Output is correct |
67 |
Correct |
4 ms |
492 KB |
Output is correct |
68 |
Correct |
8 ms |
492 KB |
Output is correct |
69 |
Correct |
11 ms |
492 KB |
Output is correct |
70 |
Correct |
10 ms |
492 KB |
Output is correct |
71 |
Correct |
1 ms |
492 KB |
Output is correct |
72 |
Correct |
13 ms |
492 KB |
Output is correct |
73 |
Correct |
13 ms |
492 KB |
Output is correct |
74 |
Correct |
13 ms |
492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
492 KB |
Output is correct |
2 |
Correct |
1 ms |
492 KB |
Output is correct |
3 |
Correct |
1 ms |
492 KB |
Output is correct |
4 |
Correct |
1 ms |
492 KB |
Output is correct |
5 |
Correct |
1 ms |
492 KB |
Output is correct |
6 |
Correct |
1 ms |
492 KB |
Output is correct |
7 |
Correct |
1 ms |
492 KB |
Output is correct |
8 |
Correct |
1 ms |
492 KB |
Output is correct |
9 |
Correct |
1 ms |
492 KB |
Output is correct |
10 |
Correct |
35 ms |
492 KB |
Output is correct |
11 |
Correct |
1 ms |
492 KB |
Output is correct |
12 |
Correct |
1 ms |
492 KB |
Output is correct |
13 |
Correct |
1 ms |
492 KB |
Output is correct |
14 |
Correct |
1 ms |
492 KB |
Output is correct |
15 |
Correct |
1 ms |
492 KB |
Output is correct |
16 |
Correct |
1 ms |
492 KB |
Output is correct |
17 |
Correct |
1 ms |
492 KB |
Output is correct |
18 |
Correct |
1 ms |
492 KB |
Output is correct |
19 |
Correct |
1 ms |
492 KB |
Output is correct |
20 |
Correct |
1 ms |
492 KB |
Output is correct |
21 |
Correct |
1 ms |
492 KB |
Output is correct |
22 |
Correct |
1 ms |
492 KB |
Output is correct |
23 |
Correct |
1 ms |
492 KB |
Output is correct |
24 |
Correct |
1 ms |
492 KB |
Output is correct |
25 |
Correct |
1 ms |
492 KB |
Output is correct |
26 |
Correct |
1 ms |
492 KB |
Output is correct |
27 |
Correct |
3 ms |
492 KB |
Output is correct |
28 |
Correct |
5 ms |
492 KB |
Output is correct |
29 |
Correct |
4 ms |
492 KB |
Output is correct |
30 |
Correct |
1 ms |
492 KB |
Output is correct |
31 |
Correct |
5 ms |
492 KB |
Output is correct |
32 |
Correct |
64 ms |
548 KB |
Output is correct |
33 |
Correct |
3 ms |
512 KB |
Output is correct |
34 |
Correct |
5 ms |
492 KB |
Output is correct |
35 |
Correct |
5 ms |
492 KB |
Output is correct |
36 |
Correct |
12 ms |
492 KB |
Output is correct |
37 |
Correct |
26 ms |
492 KB |
Output is correct |
38 |
Correct |
36 ms |
492 KB |
Output is correct |
39 |
Correct |
35 ms |
492 KB |
Output is correct |
40 |
Correct |
2 ms |
492 KB |
Output is correct |
41 |
Correct |
31 ms |
492 KB |
Output is correct |
42 |
Correct |
37 ms |
620 KB |
Output is correct |
43 |
Correct |
2 ms |
492 KB |
Output is correct |
44 |
Correct |
4 ms |
492 KB |
Output is correct |
45 |
Correct |
8 ms |
492 KB |
Output is correct |
46 |
Correct |
11 ms |
492 KB |
Output is correct |
47 |
Correct |
10 ms |
492 KB |
Output is correct |
48 |
Correct |
1 ms |
492 KB |
Output is correct |
49 |
Correct |
14 ms |
620 KB |
Output is correct |
50 |
Correct |
14 ms |
512 KB |
Output is correct |
51 |
Correct |
1 ms |
364 KB |
Output is correct |
52 |
Correct |
9 ms |
364 KB |
Output is correct |
53 |
Correct |
9 ms |
364 KB |
Output is correct |
54 |
Correct |
34 ms |
492 KB |
Output is correct |
55 |
Correct |
24 ms |
492 KB |
Output is correct |
56 |
Correct |
56 ms |
492 KB |
Output is correct |
57 |
Correct |
51 ms |
560 KB |
Output is correct |
58 |
Correct |
63 ms |
492 KB |
Output is correct |
59 |
Correct |
87 ms |
492 KB |
Output is correct |
60 |
Correct |
65 ms |
564 KB |
Output is correct |
61 |
Correct |
1 ms |
384 KB |
Output is correct |
62 |
Correct |
11 ms |
492 KB |
Output is correct |
63 |
Correct |
34 ms |
492 KB |
Output is correct |
64 |
Correct |
15 ms |
492 KB |
Output is correct |
65 |
Correct |
27 ms |
492 KB |
Output is correct |
66 |
Correct |
39 ms |
492 KB |
Output is correct |
67 |
Correct |
52 ms |
492 KB |
Output is correct |
68 |
Correct |
123 ms |
492 KB |
Output is correct |
69 |
Correct |
49 ms |
492 KB |
Output is correct |