#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef string str;
const ll inf = 1e18;
signed main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, a, b;
cin >> n >> a >> b;
ll y[n + 1];
for (int i = 0; i < n; ++i) {
cin >> y[i];
}
if (n <= 20) {
ll ans = inf;
for (int mask = 0; mask < (1 << (n - 1)); ++mask) {
int cnt = __builtin_popcount(mask) + 1;
if (cnt < a || cnt > b) {
continue;
}
ll cur = 0;
ll sum = y[0];
for (int bit = 0; bit < n - 1; ++bit) {
if (mask & (1 << bit)) {
cur |= sum;
sum = y[bit + 1];
} else {
sum += y[bit + 1];
}
}
cur |= sum;
ans = min(ans, cur);
}
cout << ans;
} else if (*max_element(y, y + n) <= 20) {
ll pref[n + 1];
bool dp[n + 1][n + 1][2001];
memset(dp, false, sizeof(dp));
pref[0] = 0;
for (int i = 1; i <= n; ++i) {
pref[i] = pref[i - 1] + y[i - 1];
}
for (int i = 1; i <= n; ++i) {
dp[i][1][pref[i]] = true;
}
for (int k = 2; k <= b; ++k) {
for (int i = 1; i <= n; ++i) {
for (int j = i - 1; j >= 1; --j) {
for (int x = 0; x < 2001; ++x) {
if (dp[j][k - 1][x]) {
dp[i][k][x | (pref[i] - pref[j])] = true;
}
}
}
}
}
ll ans = inf;
for (int k = a; k <= b; ++k) {
for (int x = 0; x < 2001; ++x) {
if (dp[n][k][x]) {
ans = min(ans, (ll)x);
}
}
}
cout << ans;
} else if (n <= 100) {
ll mask = 0;
for (int bit = 60; bit >= 0; --bit) {
bool can = false;
mask |= 1ll << bit;
vector <vector <bool>> dp(n + 1, vector <bool> (n + 1, false));
dp[0][0] = true;
for (int k = 0; k <= b; ++k) {
for (int i = 0; i < n; ++i) {
ll sum = 0;
if (dp[k][i]) {
for (int j = i; j < n; ++j) {
sum += y[j];
if ((sum & mask) == 0) {
dp[k + 1][j + 1] = true;
}
}
}
}
}
for (int k = a; k <= b; ++k) {
if (dp[k][n]) {
can = true;
}
}
if (!can) {
mask ^= 1ll << bit;
}
}
cout << (1ll << 61) - 1 - mask;
} else {
ll mask = 0;
for (int bit = 60; bit >= 0; --bit) {
mask |= 1ll << bit;
vector <int> dp(n + 1, 100000);
dp[0] = 0;
for (int i = 0; i < n; ++i) {
ll sum = 0;
if (dp[i] < 100000) {
for (int j = i; j < n; ++j) {
sum += y[j];
if ((sum & mask) == 0) {
dp[j] = min(dp[j], dp[i] + 1);
}
}
}
}
if (dp[n] > b) {
mask ^= 1ll << bit;
}
}
cout << (1ll << 61) - 1 - mask;
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
328 KB |
Output is correct |
3 |
Correct |
1 ms |
320 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
2 ms |
212 KB |
Output is correct |
9 |
Correct |
2 ms |
340 KB |
Output is correct |
10 |
Correct |
2 ms |
316 KB |
Output is correct |
11 |
Correct |
3 ms |
340 KB |
Output is correct |
12 |
Correct |
3 ms |
212 KB |
Output is correct |
13 |
Correct |
30 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
320 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
4 ms |
324 KB |
Output is correct |
22 |
Correct |
4 ms |
212 KB |
Output is correct |
23 |
Correct |
4 ms |
316 KB |
Output is correct |
24 |
Correct |
3 ms |
320 KB |
Output is correct |
25 |
Correct |
5 ms |
212 KB |
Output is correct |
26 |
Correct |
27 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
2 ms |
212 KB |
Output is correct |
31 |
Correct |
6 ms |
212 KB |
Output is correct |
32 |
Correct |
3 ms |
320 KB |
Output is correct |
33 |
Correct |
32 ms |
212 KB |
Output is correct |
34 |
Correct |
29 ms |
212 KB |
Output is correct |
35 |
Correct |
2 ms |
212 KB |
Output is correct |
36 |
Correct |
29 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
2 ms |
316 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
3 ms |
320 KB |
Output is correct |
9 |
Correct |
2 ms |
212 KB |
Output is correct |
10 |
Correct |
2 ms |
212 KB |
Output is correct |
11 |
Correct |
2 ms |
212 KB |
Output is correct |
12 |
Correct |
2 ms |
212 KB |
Output is correct |
13 |
Correct |
28 ms |
324 KB |
Output is correct |
14 |
Correct |
1 ms |
316 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
320 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
320 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
5 ms |
320 KB |
Output is correct |
22 |
Correct |
4 ms |
212 KB |
Output is correct |
23 |
Correct |
4 ms |
212 KB |
Output is correct |
24 |
Correct |
2 ms |
324 KB |
Output is correct |
25 |
Correct |
4 ms |
316 KB |
Output is correct |
26 |
Correct |
28 ms |
212 KB |
Output is correct |
27 |
Correct |
10 ms |
1264 KB |
Output is correct |
28 |
Correct |
5 ms |
1620 KB |
Output is correct |
29 |
Correct |
6 ms |
3284 KB |
Output is correct |
30 |
Correct |
25 ms |
3924 KB |
Output is correct |
31 |
Correct |
39 ms |
5388 KB |
Output is correct |
32 |
Correct |
43 ms |
5400 KB |
Output is correct |
33 |
Correct |
3 ms |
5332 KB |
Output is correct |
34 |
Correct |
38 ms |
5332 KB |
Output is correct |
35 |
Correct |
37 ms |
5332 KB |
Output is correct |
36 |
Correct |
18 ms |
5332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
324 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
2 ms |
316 KB |
Output is correct |
9 |
Correct |
3 ms |
212 KB |
Output is correct |
10 |
Correct |
2 ms |
212 KB |
Output is correct |
11 |
Correct |
2 ms |
212 KB |
Output is correct |
12 |
Correct |
2 ms |
212 KB |
Output is correct |
13 |
Correct |
28 ms |
296 KB |
Output is correct |
14 |
Correct |
6 ms |
1236 KB |
Output is correct |
15 |
Correct |
5 ms |
1600 KB |
Output is correct |
16 |
Correct |
7 ms |
3284 KB |
Output is correct |
17 |
Correct |
23 ms |
3924 KB |
Output is correct |
18 |
Correct |
37 ms |
5332 KB |
Output is correct |
19 |
Correct |
36 ms |
5308 KB |
Output is correct |
20 |
Correct |
3 ms |
5312 KB |
Output is correct |
21 |
Correct |
36 ms |
5384 KB |
Output is correct |
22 |
Correct |
34 ms |
5388 KB |
Output is correct |
23 |
Correct |
21 ms |
5332 KB |
Output is correct |
24 |
Correct |
39 ms |
5532 KB |
Output is correct |
25 |
Correct |
36 ms |
8824 KB |
Output is correct |
26 |
Correct |
110 ms |
12516 KB |
Output is correct |
27 |
Correct |
358 ms |
16880 KB |
Output is correct |
28 |
Correct |
760 ms |
20268 KB |
Output is correct |
29 |
Correct |
748 ms |
20284 KB |
Output is correct |
30 |
Correct |
11 ms |
20180 KB |
Output is correct |
31 |
Correct |
356 ms |
20284 KB |
Output is correct |
32 |
Correct |
571 ms |
20268 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
316 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
3 ms |
212 KB |
Output is correct |
9 |
Correct |
2 ms |
320 KB |
Output is correct |
10 |
Correct |
3 ms |
212 KB |
Output is correct |
11 |
Correct |
3 ms |
212 KB |
Output is correct |
12 |
Correct |
3 ms |
212 KB |
Output is correct |
13 |
Correct |
32 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
4 ms |
212 KB |
Output is correct |
22 |
Correct |
5 ms |
320 KB |
Output is correct |
23 |
Correct |
5 ms |
212 KB |
Output is correct |
24 |
Correct |
2 ms |
212 KB |
Output is correct |
25 |
Correct |
5 ms |
316 KB |
Output is correct |
26 |
Correct |
28 ms |
300 KB |
Output is correct |
27 |
Correct |
1 ms |
324 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
5 ms |
212 KB |
Output is correct |
32 |
Correct |
3 ms |
312 KB |
Output is correct |
33 |
Correct |
27 ms |
212 KB |
Output is correct |
34 |
Correct |
29 ms |
212 KB |
Output is correct |
35 |
Correct |
2 ms |
212 KB |
Output is correct |
36 |
Correct |
31 ms |
212 KB |
Output is correct |
37 |
Correct |
7 ms |
1260 KB |
Output is correct |
38 |
Correct |
5 ms |
1660 KB |
Output is correct |
39 |
Correct |
6 ms |
3284 KB |
Output is correct |
40 |
Correct |
24 ms |
3924 KB |
Output is correct |
41 |
Correct |
38 ms |
5332 KB |
Output is correct |
42 |
Correct |
35 ms |
5332 KB |
Output is correct |
43 |
Correct |
3 ms |
5412 KB |
Output is correct |
44 |
Correct |
38 ms |
5332 KB |
Output is correct |
45 |
Correct |
42 ms |
5332 KB |
Output is correct |
46 |
Correct |
18 ms |
5332 KB |
Output is correct |
47 |
Correct |
39 ms |
5588 KB |
Output is correct |
48 |
Correct |
42 ms |
8824 KB |
Output is correct |
49 |
Correct |
114 ms |
12508 KB |
Output is correct |
50 |
Correct |
360 ms |
16868 KB |
Output is correct |
51 |
Correct |
771 ms |
20264 KB |
Output is correct |
52 |
Correct |
817 ms |
20272 KB |
Output is correct |
53 |
Correct |
11 ms |
20180 KB |
Output is correct |
54 |
Correct |
369 ms |
20272 KB |
Output is correct |
55 |
Correct |
566 ms |
20268 KB |
Output is correct |
56 |
Correct |
3 ms |
212 KB |
Output is correct |
57 |
Correct |
5 ms |
320 KB |
Output is correct |
58 |
Correct |
11 ms |
332 KB |
Output is correct |
59 |
Correct |
16 ms |
212 KB |
Output is correct |
60 |
Correct |
16 ms |
212 KB |
Output is correct |
61 |
Correct |
2 ms |
340 KB |
Output is correct |
62 |
Correct |
18 ms |
328 KB |
Output is correct |
63 |
Correct |
17 ms |
212 KB |
Output is correct |
64 |
Correct |
516 ms |
16508 KB |
Output is correct |
65 |
Correct |
3 ms |
212 KB |
Output is correct |
66 |
Correct |
3 ms |
316 KB |
Output is correct |
67 |
Correct |
6 ms |
212 KB |
Output is correct |
68 |
Correct |
11 ms |
324 KB |
Output is correct |
69 |
Correct |
16 ms |
332 KB |
Output is correct |
70 |
Correct |
16 ms |
212 KB |
Output is correct |
71 |
Correct |
2 ms |
212 KB |
Output is correct |
72 |
Correct |
17 ms |
324 KB |
Output is correct |
73 |
Correct |
18 ms |
328 KB |
Output is correct |
74 |
Correct |
18 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
2 ms |
212 KB |
Output is correct |
9 |
Correct |
2 ms |
212 KB |
Output is correct |
10 |
Correct |
2 ms |
212 KB |
Output is correct |
11 |
Correct |
2 ms |
212 KB |
Output is correct |
12 |
Correct |
2 ms |
212 KB |
Output is correct |
13 |
Correct |
29 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
2 ms |
212 KB |
Output is correct |
18 |
Correct |
4 ms |
212 KB |
Output is correct |
19 |
Correct |
2 ms |
212 KB |
Output is correct |
20 |
Correct |
28 ms |
308 KB |
Output is correct |
21 |
Correct |
31 ms |
212 KB |
Output is correct |
22 |
Correct |
2 ms |
212 KB |
Output is correct |
23 |
Correct |
32 ms |
308 KB |
Output is correct |
24 |
Correct |
6 ms |
1236 KB |
Output is correct |
25 |
Correct |
8 ms |
1640 KB |
Output is correct |
26 |
Correct |
6 ms |
3284 KB |
Output is correct |
27 |
Correct |
33 ms |
3924 KB |
Output is correct |
28 |
Correct |
36 ms |
5332 KB |
Output is correct |
29 |
Correct |
41 ms |
5332 KB |
Output is correct |
30 |
Correct |
3 ms |
5332 KB |
Output is correct |
31 |
Correct |
42 ms |
5384 KB |
Output is correct |
32 |
Correct |
35 ms |
5460 KB |
Output is correct |
33 |
Correct |
31 ms |
5392 KB |
Output is correct |
34 |
Correct |
40 ms |
5588 KB |
Output is correct |
35 |
Correct |
35 ms |
8788 KB |
Output is correct |
36 |
Correct |
109 ms |
12512 KB |
Output is correct |
37 |
Correct |
358 ms |
16868 KB |
Output is correct |
38 |
Correct |
751 ms |
20264 KB |
Output is correct |
39 |
Correct |
740 ms |
20300 KB |
Output is correct |
40 |
Correct |
11 ms |
20180 KB |
Output is correct |
41 |
Correct |
403 ms |
20268 KB |
Output is correct |
42 |
Correct |
595 ms |
20272 KB |
Output is correct |
43 |
Correct |
3 ms |
212 KB |
Output is correct |
44 |
Correct |
6 ms |
212 KB |
Output is correct |
45 |
Correct |
11 ms |
212 KB |
Output is correct |
46 |
Correct |
15 ms |
212 KB |
Output is correct |
47 |
Correct |
14 ms |
212 KB |
Output is correct |
48 |
Correct |
2 ms |
212 KB |
Output is correct |
49 |
Correct |
17 ms |
332 KB |
Output is correct |
50 |
Correct |
18 ms |
212 KB |
Output is correct |
51 |
Incorrect |
2 ms |
212 KB |
Output isn't correct |
52 |
Halted |
0 ms |
0 KB |
- |