// Hallelujah, praise the one who set me free
// Hallelujah, death has lost its grip on me
// You have broken every chain, There's salvation in your name
// Jesus Christ, my living hope
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,popcnt,lzcnt")
#define REP(i, s, e) for (int i = (s); i < (e); i++)
#define RREP(i, s, e) for (int i = (s); i >= (e); i--)
template <class T>
inline bool mnto(T& a, T b) {return a > b ? a = b, 1 : 0;}
template <class T>
inline bool mxto(T& a, T b) {return a < b ? a = b, 1: 0;}
typedef long long ll;
typedef double ld;
#define FI first
#define SE second
typedef pair<int, int> ii;
typedef pair<ll, ll> pll;
typedef tuple<int, int, int> iii;
#define ALL(_a) _a.begin(), _a.end()
#define SZ(_a) (int) _a.size()
#define pb push_back
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ii> vii;
typedef vector<iii> viii;
#ifndef DEBUG
#define cerr if (0) cerr
#endif
const int INF = 1000000005;
const ll LINF = 1000000000000000005ll;
const int MAXN = 505;
int n, k, m;
int a[MAXN], b[MAXN];
int aid[MAXN], bid[MAXN];
bool done[MAXN];
ld dp[MAXN][MAXN], pa[MAXN][MAXN], pb[MAXN][MAXN];
ld ans;
ld calc(int i) {
REP (l, 0, n + 1) {
REP (o, 0, n + 1) {
dp[l][o] = INF;
}
}
dp[0][0] = 0;
REP (j, 1, n + 1) {
RREP (l, min(i, j), 0) {
RREP (o, min(k - i, j - l), 0) {
if (o) {
mnto(dp[l][o],
dp[l][o - 1] + pa[i][j]);
//dp[l][o - 1] + a[bid[j]] / (ld) (i + 1));
}
if (l && b[bid[j]] != -1) {
mnto(dp[l][o],
dp[l - 1][o] + pb[j][l]);
//dp[l - 1][o] + b[bid[j]] / (ld) l);
}
//cerr << j << ' ' << l << ' ' << o << ": " << dp[j][l][o] << '\n';
}
}
}
//cerr << i << ": " << dp[n][i][k - i] << '\n';
return dp[i][k - i];
}
int main() {
#ifndef DEBUG
ios::sync_with_stdio(0), cin.tie(0);
#endif
cin >> n >> k;
REP (i, 1, n + 1) {
cin >> a[i] >> b[i];
if (b[i] != -1) {
m++;
}
}
iota(aid + 1, aid + n + 1, 1);
iota(bid + 1, bid + n + 1, 1);
sort(aid + 1, aid + n + 1, [&] (int l, int r) {
return a[l] < a[r];
});
sort(bid + 1, bid + n + 1, [&] (int l, int r) {
return b[l] < b[r];
});
ans = INF;
REP (i, 0, min(k, m) + 1) {
REP (j, 1, n + 1) {
pa[i][j] = a[bid[j]] / (ld) (i + 1);
pb[j][i] = b[bid[j]] / (ld) i;
}
}
int lo = 0, hi = min(k, m);
while (hi - lo > 2) {
int mid1 = lo + (hi - lo) / 3, mid2 = lo + (hi - lo) / 3 * 2;
if (calc(mid1) < calc(mid2)) {
hi = mid2;
} else {
lo = mid1;
}
}
REP (i, lo, hi + 1) {
mnto(ans, calc(i));
}
cout << setprecision(10) << ans << '\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
2 ms |
4308 KB |
Output is correct |
6 |
Correct |
2 ms |
4308 KB |
Output is correct |
7 |
Correct |
2 ms |
4308 KB |
Output is correct |
8 |
Correct |
2 ms |
4308 KB |
Output is correct |
9 |
Correct |
2 ms |
4180 KB |
Output is correct |
10 |
Correct |
2 ms |
4308 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
2 ms |
4308 KB |
Output is correct |
6 |
Correct |
2 ms |
4308 KB |
Output is correct |
7 |
Correct |
2 ms |
4308 KB |
Output is correct |
8 |
Correct |
2 ms |
4308 KB |
Output is correct |
9 |
Correct |
2 ms |
4180 KB |
Output is correct |
10 |
Correct |
2 ms |
4308 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
49 ms |
4880 KB |
Output is correct |
13 |
Correct |
103 ms |
4876 KB |
Output is correct |
14 |
Correct |
77 ms |
4692 KB |
Output is correct |
15 |
Correct |
183 ms |
5676 KB |
Output is correct |
16 |
Correct |
465 ms |
5456 KB |
Output is correct |
17 |
Correct |
298 ms |
4684 KB |
Output is correct |
18 |
Correct |
265 ms |
6272 KB |
Output is correct |
19 |
Correct |
862 ms |
5492 KB |
Output is correct |
20 |
Correct |
317 ms |
4652 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
468 KB |
Output is correct |
17 |
Correct |
1 ms |
468 KB |
Output is correct |
18 |
Correct |
1 ms |
468 KB |
Output is correct |
19 |
Correct |
1 ms |
468 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
468 KB |
Output is correct |
24 |
Correct |
0 ms |
468 KB |
Output is correct |
25 |
Correct |
1 ms |
596 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
0 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
1 ms |
468 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
468 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
34 |
Correct |
1 ms |
468 KB |
Output is correct |
35 |
Correct |
1 ms |
468 KB |
Output is correct |
36 |
Correct |
1 ms |
468 KB |
Output is correct |
37 |
Correct |
1 ms |
468 KB |
Output is correct |
38 |
Correct |
0 ms |
468 KB |
Output is correct |
39 |
Correct |
1 ms |
468 KB |
Output is correct |
40 |
Correct |
1 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
468 KB |
Output is correct |
17 |
Correct |
1 ms |
468 KB |
Output is correct |
18 |
Correct |
1 ms |
468 KB |
Output is correct |
19 |
Correct |
1 ms |
468 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
468 KB |
Output is correct |
24 |
Correct |
0 ms |
468 KB |
Output is correct |
25 |
Correct |
1 ms |
596 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
0 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
1 ms |
468 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
468 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
34 |
Correct |
1 ms |
468 KB |
Output is correct |
35 |
Correct |
1 ms |
468 KB |
Output is correct |
36 |
Correct |
1 ms |
468 KB |
Output is correct |
37 |
Correct |
1 ms |
468 KB |
Output is correct |
38 |
Correct |
0 ms |
468 KB |
Output is correct |
39 |
Correct |
1 ms |
468 KB |
Output is correct |
40 |
Correct |
1 ms |
468 KB |
Output is correct |
41 |
Correct |
1 ms |
1108 KB |
Output is correct |
42 |
Correct |
1 ms |
1108 KB |
Output is correct |
43 |
Correct |
2 ms |
1196 KB |
Output is correct |
44 |
Correct |
2 ms |
1236 KB |
Output is correct |
45 |
Correct |
3 ms |
1236 KB |
Output is correct |
46 |
Correct |
4 ms |
1364 KB |
Output is correct |
47 |
Correct |
4 ms |
1412 KB |
Output is correct |
48 |
Correct |
5 ms |
1396 KB |
Output is correct |
49 |
Correct |
6 ms |
1456 KB |
Output is correct |
50 |
Correct |
6 ms |
1364 KB |
Output is correct |
51 |
Correct |
7 ms |
1536 KB |
Output is correct |
52 |
Correct |
6 ms |
1376 KB |
Output is correct |
53 |
Correct |
3 ms |
1364 KB |
Output is correct |
54 |
Correct |
4 ms |
1364 KB |
Output is correct |
55 |
Correct |
4 ms |
1364 KB |
Output is correct |
56 |
Correct |
3 ms |
1364 KB |
Output is correct |
57 |
Correct |
5 ms |
1364 KB |
Output is correct |
58 |
Correct |
3 ms |
1364 KB |
Output is correct |
59 |
Correct |
4 ms |
1364 KB |
Output is correct |
60 |
Correct |
4 ms |
1364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
834 ms |
6276 KB |
Output is correct |
2 |
Correct |
807 ms |
6260 KB |
Output is correct |
3 |
Correct |
814 ms |
6268 KB |
Output is correct |
4 |
Correct |
629 ms |
6264 KB |
Output is correct |
5 |
Correct |
481 ms |
6264 KB |
Output is correct |
6 |
Correct |
842 ms |
6268 KB |
Output is correct |
7 |
Correct |
476 ms |
6228 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
2 ms |
4308 KB |
Output is correct |
6 |
Correct |
2 ms |
4308 KB |
Output is correct |
7 |
Correct |
2 ms |
4308 KB |
Output is correct |
8 |
Correct |
2 ms |
4308 KB |
Output is correct |
9 |
Correct |
2 ms |
4180 KB |
Output is correct |
10 |
Correct |
2 ms |
4308 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
49 ms |
4880 KB |
Output is correct |
13 |
Correct |
103 ms |
4876 KB |
Output is correct |
14 |
Correct |
77 ms |
4692 KB |
Output is correct |
15 |
Correct |
183 ms |
5676 KB |
Output is correct |
16 |
Correct |
465 ms |
5456 KB |
Output is correct |
17 |
Correct |
298 ms |
4684 KB |
Output is correct |
18 |
Correct |
265 ms |
6272 KB |
Output is correct |
19 |
Correct |
862 ms |
5492 KB |
Output is correct |
20 |
Correct |
317 ms |
4652 KB |
Output is correct |
21 |
Correct |
0 ms |
340 KB |
Output is correct |
22 |
Correct |
0 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
0 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
0 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
0 ms |
340 KB |
Output is correct |
34 |
Correct |
1 ms |
340 KB |
Output is correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
468 KB |
Output is correct |
37 |
Correct |
1 ms |
468 KB |
Output is correct |
38 |
Correct |
1 ms |
468 KB |
Output is correct |
39 |
Correct |
1 ms |
468 KB |
Output is correct |
40 |
Correct |
1 ms |
468 KB |
Output is correct |
41 |
Correct |
1 ms |
468 KB |
Output is correct |
42 |
Correct |
1 ms |
468 KB |
Output is correct |
43 |
Correct |
1 ms |
468 KB |
Output is correct |
44 |
Correct |
0 ms |
468 KB |
Output is correct |
45 |
Correct |
1 ms |
596 KB |
Output is correct |
46 |
Correct |
1 ms |
468 KB |
Output is correct |
47 |
Correct |
0 ms |
468 KB |
Output is correct |
48 |
Correct |
1 ms |
468 KB |
Output is correct |
49 |
Correct |
1 ms |
468 KB |
Output is correct |
50 |
Correct |
1 ms |
468 KB |
Output is correct |
51 |
Correct |
1 ms |
468 KB |
Output is correct |
52 |
Correct |
1 ms |
468 KB |
Output is correct |
53 |
Correct |
1 ms |
468 KB |
Output is correct |
54 |
Correct |
1 ms |
468 KB |
Output is correct |
55 |
Correct |
1 ms |
468 KB |
Output is correct |
56 |
Correct |
1 ms |
468 KB |
Output is correct |
57 |
Correct |
1 ms |
468 KB |
Output is correct |
58 |
Correct |
0 ms |
468 KB |
Output is correct |
59 |
Correct |
1 ms |
468 KB |
Output is correct |
60 |
Correct |
1 ms |
468 KB |
Output is correct |
61 |
Correct |
1 ms |
1108 KB |
Output is correct |
62 |
Correct |
1 ms |
1108 KB |
Output is correct |
63 |
Correct |
2 ms |
1196 KB |
Output is correct |
64 |
Correct |
2 ms |
1236 KB |
Output is correct |
65 |
Correct |
3 ms |
1236 KB |
Output is correct |
66 |
Correct |
4 ms |
1364 KB |
Output is correct |
67 |
Correct |
4 ms |
1412 KB |
Output is correct |
68 |
Correct |
5 ms |
1396 KB |
Output is correct |
69 |
Correct |
6 ms |
1456 KB |
Output is correct |
70 |
Correct |
6 ms |
1364 KB |
Output is correct |
71 |
Correct |
7 ms |
1536 KB |
Output is correct |
72 |
Correct |
6 ms |
1376 KB |
Output is correct |
73 |
Correct |
3 ms |
1364 KB |
Output is correct |
74 |
Correct |
4 ms |
1364 KB |
Output is correct |
75 |
Correct |
4 ms |
1364 KB |
Output is correct |
76 |
Correct |
3 ms |
1364 KB |
Output is correct |
77 |
Correct |
5 ms |
1364 KB |
Output is correct |
78 |
Correct |
3 ms |
1364 KB |
Output is correct |
79 |
Correct |
4 ms |
1364 KB |
Output is correct |
80 |
Correct |
4 ms |
1364 KB |
Output is correct |
81 |
Correct |
834 ms |
6276 KB |
Output is correct |
82 |
Correct |
807 ms |
6260 KB |
Output is correct |
83 |
Correct |
814 ms |
6268 KB |
Output is correct |
84 |
Correct |
629 ms |
6264 KB |
Output is correct |
85 |
Correct |
481 ms |
6264 KB |
Output is correct |
86 |
Correct |
842 ms |
6268 KB |
Output is correct |
87 |
Correct |
476 ms |
6228 KB |
Output is correct |
88 |
Correct |
10 ms |
4424 KB |
Output is correct |
89 |
Correct |
12 ms |
4508 KB |
Output is correct |
90 |
Correct |
75 ms |
4784 KB |
Output is correct |
91 |
Correct |
65 ms |
4780 KB |
Output is correct |
92 |
Correct |
275 ms |
5324 KB |
Output is correct |
93 |
Correct |
243 ms |
5284 KB |
Output is correct |
94 |
Correct |
522 ms |
5836 KB |
Output is correct |
95 |
Correct |
457 ms |
5784 KB |
Output is correct |
96 |
Correct |
817 ms |
6092 KB |
Output is correct |
97 |
Correct |
605 ms |
6068 KB |
Output is correct |
98 |
Correct |
375 ms |
5676 KB |
Output is correct |
99 |
Correct |
249 ms |
5696 KB |
Output is correct |
100 |
Correct |
492 ms |
5588 KB |
Output is correct |
101 |
Correct |
504 ms |
5684 KB |
Output is correct |
102 |
Correct |
412 ms |
5588 KB |
Output is correct |
103 |
Correct |
378 ms |
5672 KB |
Output is correct |
104 |
Correct |
467 ms |
5672 KB |
Output is correct |
105 |
Correct |
160 ms |
5672 KB |
Output is correct |