#include <bits/stdc++.h>
#ifdef OP_DEBUG
#include <algo/debug.h>
#else
#define debug(...) 26
#endif
using namespace std;
#define int long long // maybe tle?
#define sz(v) (int)(v).size()
#define all(v) (v).begin(), (v).end()
#define TcT template <class T
const int MOD = (int)1e9 + 7, INF = (int)2e9 + 9, INF64 = (int)4e18 + 18;
TcT> bool minimize(T &lhs, const T &rhs) { return rhs < lhs ? lhs = rhs, 1 : 0; }
TcT> bool maximize(T &lhs, const T &rhs) { return rhs > lhs ? lhs = rhs, 1 : 0; }
TcT, class S> istream &operator >> (istream &scanf, pair <T, S> &u) { return scanf >> u.first >> u.second; }
TcT, class S> ostream &operator << (ostream &print, pair <T, S> &u) { return print << u.first << ' ' << u.second; }
void solve();
int32_t main() {
cin.tie(nullptr), cout.tie(nullptr) -> sync_with_stdio(0);
int testcases = 1;
#define TC 0
if (TC) { cin >> testcases; } for (; testcases--;) { solve(); }
}
/* [Pham Hung Anh - 11I - Tran Hung Dao High School for Gifted Student] */
const int N = 2002;
int n, a, b;
int y[N];
namespace sub1 {
int ans = INF64;
void Try(int k, int groups, int sum, int sum_or) {
if (k > n) {
if (a <= groups && groups <= b)
minimize(ans, sum_or | sum);
return;
}
Try(k + 1, groups, sum + y[k], sum_or);
Try(k + 1, groups + 1, y[k], sum_or | sum);
}
void solve() {
Try(2, 1, y[1], 0);
cout << ans << '\n';
}
}
namespace sub2 {
bool dp[55][22][505];
void solve() {
dp[0][0][0] = 1;
for (int i = 1; i <= n; ++i)
for (int groups = 0; groups <= b; ++groups)
for (int sum_or = 0; sum_or <= 500; ++sum_or) {
int sum = 0;
for (int j = i; j >= 1; --j)
dp[i][groups + 1][sum_or | (sum += y[j])] |= dp[j - 1][groups][sum_or];
}
int ans = INF64;
for (int groups = a; groups <= b; ++groups)
for (int sum_or = 0; sum_or <= 500; ++sum_or)
if (dp[n][groups][sum_or])
minimize(ans, sum_or);
cout << ans << '\n';
}
}
namespace sub3 {
int dp[101][2002];
void solve() {
memset(dp, 0x3f, sizeof (dp));
dp[0][0] = 0;
for (int i = 1; i <= n; ++i)
for (int sum_or = 0; sum_or <= 2000; ++sum_or) {
int sum = 0;
for (int j = i; j >= 1; --j)
minimize(dp[i][sum_or | (sum += y[j])], dp[j - 1][sum_or] + 1);
}
int ans = INF64;
for (int sum_or = 0; sum_or <= 2000; ++sum_or)
if (dp[n][sum_or] <= b)
minimize(ans, sum_or);
cout << ans << '\n';
}
}
namespace sub4 {
bool dp[N][N];
bool can(int mask) {
memset(dp, 0, sizeof (dp));
dp[0][0] = 1;
for (int i = 1; i <= n; ++i) {
memset(dp[i], 0, sizeof (dp[i]));
int sum = 0;
for (int j = i; j >= 1; --j) {
sum += y[j];
if ((~mask & sum) == 0)
for (int groups = 1; groups <= b; ++groups)
dp[i][groups] |= dp[j - 1][groups - 1];
}
}
for (int groups = a; groups <= b; ++groups)
if (dp[n][groups])
return 1;
return 0;
}
void solve() {
int ans = (1ll << 61) - 1;
for (int bit = 60; bit >= 0; --bit)
if (can(ans ^ (1ll << bit)))
ans ^= (1ll << bit);
cout << ans << '\n';
}
}
namespace sub5 {
int dp[N];
bool can(int mask) {
memset(dp, 0x3f, sizeof (dp));
dp[0] = 0;
for (int i = 1; i <= n; ++i) {
int sum = 0;
for (int j = i; j >= 1; --j) {
sum += y[j];
if ((~mask & sum) == 0)
minimize(dp[i], dp[j - 1] + 1);
}
}
return dp[n] <= b;
}
void solve() {
int ans = (1ll << 61) - 1;
for (int bit = 60; bit >= 0; --bit)
if (can(ans ^ (1ll << bit)))
ans ^= (1ll << bit);
cout << ans << '\n';
}
}
void solve() {
cin >> n >> a >> b;
for (int i = 1; i <= n; ++i)
cin >> y[i];
if (n <= 20)
sub1 :: solve();
else if (n <= 50)
sub2 :: solve();
else if (n <= 100 && a == 1 && *max_element(y + 1, y + 1 + n) <= 20)
sub3 :: solve();
else if (n <= 100)
sub4 :: solve();
else if (n <= 2000 && a == 1)
sub5 :: solve();
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
2 ms |
348 KB |
Output is correct |
9 |
Correct |
2 ms |
348 KB |
Output is correct |
10 |
Correct |
2 ms |
472 KB |
Output is correct |
11 |
Correct |
2 ms |
348 KB |
Output is correct |
12 |
Correct |
2 ms |
348 KB |
Output is correct |
13 |
Correct |
2 ms |
464 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
2 ms |
344 KB |
Output is correct |
22 |
Correct |
2 ms |
348 KB |
Output is correct |
23 |
Correct |
2 ms |
468 KB |
Output is correct |
24 |
Correct |
2 ms |
348 KB |
Output is correct |
25 |
Correct |
2 ms |
344 KB |
Output is correct |
26 |
Correct |
2 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
2 ms |
348 KB |
Output is correct |
32 |
Correct |
2 ms |
344 KB |
Output is correct |
33 |
Correct |
2 ms |
348 KB |
Output is correct |
34 |
Correct |
2 ms |
348 KB |
Output is correct |
35 |
Correct |
2 ms |
348 KB |
Output is correct |
36 |
Correct |
2 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
600 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
2 ms |
468 KB |
Output is correct |
9 |
Correct |
2 ms |
348 KB |
Output is correct |
10 |
Correct |
2 ms |
348 KB |
Output is correct |
11 |
Correct |
2 ms |
464 KB |
Output is correct |
12 |
Correct |
2 ms |
348 KB |
Output is correct |
13 |
Correct |
2 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
2 ms |
348 KB |
Output is correct |
22 |
Correct |
2 ms |
348 KB |
Output is correct |
23 |
Correct |
2 ms |
600 KB |
Output is correct |
24 |
Correct |
2 ms |
348 KB |
Output is correct |
25 |
Correct |
2 ms |
348 KB |
Output is correct |
26 |
Correct |
2 ms |
348 KB |
Output is correct |
27 |
Correct |
3 ms |
604 KB |
Output is correct |
28 |
Correct |
2 ms |
604 KB |
Output is correct |
29 |
Correct |
3 ms |
604 KB |
Output is correct |
30 |
Correct |
10 ms |
860 KB |
Output is correct |
31 |
Correct |
14 ms |
784 KB |
Output is correct |
32 |
Correct |
14 ms |
828 KB |
Output is correct |
33 |
Correct |
2 ms |
600 KB |
Output is correct |
34 |
Correct |
17 ms |
1008 KB |
Output is correct |
35 |
Correct |
15 ms |
860 KB |
Output is correct |
36 |
Correct |
8 ms |
788 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
2 ms |
348 KB |
Output is correct |
9 |
Correct |
2 ms |
348 KB |
Output is correct |
10 |
Correct |
2 ms |
348 KB |
Output is correct |
11 |
Correct |
2 ms |
348 KB |
Output is correct |
12 |
Correct |
2 ms |
348 KB |
Output is correct |
13 |
Correct |
2 ms |
348 KB |
Output is correct |
14 |
Correct |
3 ms |
604 KB |
Output is correct |
15 |
Correct |
2 ms |
604 KB |
Output is correct |
16 |
Correct |
3 ms |
604 KB |
Output is correct |
17 |
Correct |
10 ms |
868 KB |
Output is correct |
18 |
Correct |
15 ms |
860 KB |
Output is correct |
19 |
Correct |
15 ms |
860 KB |
Output is correct |
20 |
Correct |
2 ms |
604 KB |
Output is correct |
21 |
Correct |
15 ms |
868 KB |
Output is correct |
22 |
Correct |
13 ms |
860 KB |
Output is correct |
23 |
Correct |
8 ms |
860 KB |
Output is correct |
24 |
Correct |
4 ms |
3672 KB |
Output is correct |
25 |
Correct |
6 ms |
3676 KB |
Output is correct |
26 |
Correct |
8 ms |
3676 KB |
Output is correct |
27 |
Correct |
10 ms |
3676 KB |
Output is correct |
28 |
Correct |
16 ms |
3676 KB |
Output is correct |
29 |
Correct |
12 ms |
3760 KB |
Output is correct |
30 |
Correct |
13 ms |
3676 KB |
Output is correct |
31 |
Correct |
12 ms |
3676 KB |
Output is correct |
32 |
Correct |
13 ms |
3760 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
2 ms |
348 KB |
Output is correct |
9 |
Correct |
2 ms |
348 KB |
Output is correct |
10 |
Correct |
2 ms |
348 KB |
Output is correct |
11 |
Correct |
2 ms |
468 KB |
Output is correct |
12 |
Correct |
2 ms |
348 KB |
Output is correct |
13 |
Correct |
2 ms |
464 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
2 ms |
348 KB |
Output is correct |
22 |
Correct |
2 ms |
348 KB |
Output is correct |
23 |
Correct |
2 ms |
344 KB |
Output is correct |
24 |
Correct |
2 ms |
344 KB |
Output is correct |
25 |
Correct |
3 ms |
344 KB |
Output is correct |
26 |
Correct |
2 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
2 ms |
348 KB |
Output is correct |
32 |
Correct |
2 ms |
468 KB |
Output is correct |
33 |
Correct |
2 ms |
348 KB |
Output is correct |
34 |
Correct |
2 ms |
348 KB |
Output is correct |
35 |
Correct |
2 ms |
348 KB |
Output is correct |
36 |
Correct |
2 ms |
348 KB |
Output is correct |
37 |
Correct |
3 ms |
604 KB |
Output is correct |
38 |
Correct |
2 ms |
604 KB |
Output is correct |
39 |
Correct |
3 ms |
604 KB |
Output is correct |
40 |
Correct |
10 ms |
860 KB |
Output is correct |
41 |
Correct |
14 ms |
856 KB |
Output is correct |
42 |
Correct |
15 ms |
996 KB |
Output is correct |
43 |
Correct |
2 ms |
604 KB |
Output is correct |
44 |
Correct |
15 ms |
1016 KB |
Output is correct |
45 |
Correct |
13 ms |
856 KB |
Output is correct |
46 |
Correct |
8 ms |
856 KB |
Output is correct |
47 |
Correct |
4 ms |
3676 KB |
Output is correct |
48 |
Correct |
6 ms |
3676 KB |
Output is correct |
49 |
Correct |
8 ms |
3672 KB |
Output is correct |
50 |
Correct |
10 ms |
3676 KB |
Output is correct |
51 |
Correct |
13 ms |
3676 KB |
Output is correct |
52 |
Correct |
12 ms |
3676 KB |
Output is correct |
53 |
Correct |
12 ms |
3672 KB |
Output is correct |
54 |
Correct |
12 ms |
3676 KB |
Output is correct |
55 |
Correct |
12 ms |
3676 KB |
Output is correct |
56 |
Correct |
5 ms |
4696 KB |
Output is correct |
57 |
Correct |
6 ms |
4744 KB |
Output is correct |
58 |
Correct |
9 ms |
4700 KB |
Output is correct |
59 |
Correct |
15 ms |
4700 KB |
Output is correct |
60 |
Correct |
15 ms |
4576 KB |
Output is correct |
61 |
Correct |
6 ms |
4700 KB |
Output is correct |
62 |
Correct |
17 ms |
4744 KB |
Output is correct |
63 |
Correct |
16 ms |
4736 KB |
Output is correct |
64 |
Correct |
18 ms |
4696 KB |
Output is correct |
65 |
Correct |
5 ms |
4700 KB |
Output is correct |
66 |
Correct |
5 ms |
4736 KB |
Output is correct |
67 |
Correct |
6 ms |
4736 KB |
Output is correct |
68 |
Correct |
10 ms |
4696 KB |
Output is correct |
69 |
Correct |
15 ms |
4696 KB |
Output is correct |
70 |
Correct |
16 ms |
4696 KB |
Output is correct |
71 |
Correct |
6 ms |
4700 KB |
Output is correct |
72 |
Correct |
17 ms |
4740 KB |
Output is correct |
73 |
Correct |
14 ms |
4732 KB |
Output is correct |
74 |
Correct |
12 ms |
4696 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
356 KB |
Output is correct |
8 |
Correct |
2 ms |
348 KB |
Output is correct |
9 |
Correct |
2 ms |
348 KB |
Output is correct |
10 |
Correct |
2 ms |
344 KB |
Output is correct |
11 |
Correct |
2 ms |
348 KB |
Output is correct |
12 |
Correct |
2 ms |
348 KB |
Output is correct |
13 |
Correct |
2 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
2 ms |
348 KB |
Output is correct |
19 |
Correct |
2 ms |
348 KB |
Output is correct |
20 |
Correct |
2 ms |
348 KB |
Output is correct |
21 |
Correct |
2 ms |
348 KB |
Output is correct |
22 |
Correct |
2 ms |
348 KB |
Output is correct |
23 |
Correct |
2 ms |
348 KB |
Output is correct |
24 |
Correct |
3 ms |
604 KB |
Output is correct |
25 |
Correct |
2 ms |
604 KB |
Output is correct |
26 |
Correct |
3 ms |
600 KB |
Output is correct |
27 |
Correct |
10 ms |
860 KB |
Output is correct |
28 |
Correct |
15 ms |
796 KB |
Output is correct |
29 |
Correct |
15 ms |
1112 KB |
Output is correct |
30 |
Correct |
2 ms |
604 KB |
Output is correct |
31 |
Correct |
15 ms |
1024 KB |
Output is correct |
32 |
Correct |
15 ms |
856 KB |
Output is correct |
33 |
Correct |
8 ms |
856 KB |
Output is correct |
34 |
Correct |
4 ms |
3672 KB |
Output is correct |
35 |
Correct |
6 ms |
3676 KB |
Output is correct |
36 |
Correct |
8 ms |
3676 KB |
Output is correct |
37 |
Correct |
10 ms |
3676 KB |
Output is correct |
38 |
Correct |
12 ms |
3764 KB |
Output is correct |
39 |
Correct |
12 ms |
3676 KB |
Output is correct |
40 |
Correct |
12 ms |
3756 KB |
Output is correct |
41 |
Correct |
15 ms |
3676 KB |
Output is correct |
42 |
Correct |
16 ms |
3676 KB |
Output is correct |
43 |
Correct |
7 ms |
4740 KB |
Output is correct |
44 |
Correct |
7 ms |
4496 KB |
Output is correct |
45 |
Correct |
11 ms |
4952 KB |
Output is correct |
46 |
Correct |
15 ms |
4696 KB |
Output is correct |
47 |
Correct |
16 ms |
4700 KB |
Output is correct |
48 |
Correct |
6 ms |
4700 KB |
Output is correct |
49 |
Correct |
17 ms |
4700 KB |
Output is correct |
50 |
Correct |
17 ms |
4696 KB |
Output is correct |
51 |
Correct |
1 ms |
348 KB |
Output is correct |
52 |
Correct |
7 ms |
504 KB |
Output is correct |
53 |
Correct |
12 ms |
348 KB |
Output is correct |
54 |
Correct |
22 ms |
504 KB |
Output is correct |
55 |
Correct |
21 ms |
348 KB |
Output is correct |
56 |
Correct |
82 ms |
596 KB |
Output is correct |
57 |
Correct |
77 ms |
344 KB |
Output is correct |
58 |
Correct |
78 ms |
348 KB |
Output is correct |
59 |
Correct |
77 ms |
348 KB |
Output is correct |
60 |
Correct |
80 ms |
348 KB |
Output is correct |
61 |
Correct |
1 ms |
348 KB |
Output is correct |
62 |
Correct |
13 ms |
344 KB |
Output is correct |
63 |
Correct |
22 ms |
348 KB |
Output is correct |
64 |
Correct |
23 ms |
348 KB |
Output is correct |
65 |
Correct |
39 ms |
348 KB |
Output is correct |
66 |
Correct |
59 ms |
348 KB |
Output is correct |
67 |
Correct |
78 ms |
492 KB |
Output is correct |
68 |
Correct |
82 ms |
344 KB |
Output is correct |
69 |
Correct |
77 ms |
348 KB |
Output is correct |