//#pragma optimize("Ofast")
//#pragma optimize("unroll-loops")
//#pragma traget("avx,avx2")
#include <iostream>
#include <cmath>
#include <algorithm>
#include <stdio.h>
#include <cstdint>
#include <cstring>
#include <string>
#include <cstdlib>
#include <vector>
#include <bitset>
#include <map>
#include <queue>
#include <ctime>
#include <stack>
#include <set>
#include <list>
#include <random>
#include <deque>
#include <functional>
#include <iomanip>
#include <sstream>
#include <fstream>
#include <complex>
#include <numeric>
#include <cassert>
#include <array>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <thread>
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
#define el '\n'
#define ff first
#define ss second
#define pb push_back
#define pf push_front
#define popb pop_back
#define popf pop_front
#define point pair <ll, ll>
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
using namespace std;
#include <random>
mt19937 rnd(time(0));
const ll INF = 1e18 + 10;
const ll inf = 1e9 + 10;
const ll N = 5e2 + 10;
const ll mod = 998244353;
const ll LOG = 20;
const ll K = 1e3 + 20;
double dp[N][N][N];
ll n, k, a[N], b[N], order[N];
ld calc(ll x) {
for (ll i = 1; i <= n; i++) {
for (ll j = 0; j <= min(i, k); j++) {
if (i == j) {
for (ll cnt = 0; cnt <= min(j, x); cnt++) {
if (j) {
dp[i][j][cnt] = min(dp[i][j][cnt],
dp[i - 1][j - 1][cnt] + (double)a[order[i]] / (double)(x + 1));
}
if (cnt && b[order[i]] != inf) {
dp[i][j][cnt] = min(dp[i][j][cnt],
dp[i - 1][j - 1][cnt - 1] + (double)b[order[i]] / (double)(cnt));
}
}
} else {
dp[i][j][x] = dp[i - 1][j][x];
if (j)
dp[i][j][x] = min(dp[i][j][x], dp[i - 1][j - 1][x] + (double)a[order[i]] / (double)(x + 1));
}
}
}
ld res = dp[n][k][x];
for (ll i = 1; i <= n; i++) {
for (ll j = 0; j <= min(i, k); j++) {
if (i == j) {
for (ll cnt = 0; cnt <= min(j, x); cnt++)
dp[i][j][cnt] = inf;
} else {
dp[i][j][x] = inf;
}
}
}
return res;
}
void solve() {
cin >> n >> k;
for (ll i = 1; i <= n; i++) {
cin >> a[i] >> b[i];
if (b[i] == -1)
b[i] = inf;
}
for (ll i = 1; i <= n; i++)
order[i] = i;
sort(order + 1, order + n + 1, [&](const ll &i, const ll &j) -> bool {
if (b[i] == b[j])
return a[i] < a[j];
return b[i] < b[j];
});
for (ll i = 0; i <= n; i++)
for (ll j = 0; j <= n; j++)
for (ll votes = 0; votes <= n; votes++)
dp[i][j][votes] = inf;
dp[0][0][0] = 0;
ld ans = inf;
for (ll i = 0; i <= k; i++)
ans = min(ans, calc(i));
cout << fixed << setprecision(10) << ans << el;
return;
}
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int tests = 1;
//cin >> tests;
while (tests--)
solve();
return 0;
}
/*
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
8540 KB |
Output is correct |
5 |
Correct |
358 ms |
1009748 KB |
Output is correct |
6 |
Correct |
334 ms |
1010052 KB |
Output is correct |
7 |
Correct |
436 ms |
1009752 KB |
Output is correct |
8 |
Correct |
612 ms |
1009816 KB |
Output is correct |
9 |
Correct |
746 ms |
1009744 KB |
Output is correct |
10 |
Correct |
622 ms |
1009944 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
8540 KB |
Output is correct |
5 |
Correct |
358 ms |
1009748 KB |
Output is correct |
6 |
Correct |
334 ms |
1010052 KB |
Output is correct |
7 |
Correct |
436 ms |
1009752 KB |
Output is correct |
8 |
Correct |
612 ms |
1009816 KB |
Output is correct |
9 |
Correct |
746 ms |
1009744 KB |
Output is correct |
10 |
Correct |
622 ms |
1009944 KB |
Output is correct |
11 |
Correct |
1 ms |
2392 KB |
Output is correct |
12 |
Correct |
341 ms |
1009820 KB |
Output is correct |
13 |
Correct |
349 ms |
1009648 KB |
Output is correct |
14 |
Correct |
337 ms |
1009844 KB |
Output is correct |
15 |
Correct |
590 ms |
1009748 KB |
Output is correct |
16 |
Correct |
555 ms |
1009748 KB |
Output is correct |
17 |
Correct |
543 ms |
1009740 KB |
Output is correct |
18 |
Correct |
783 ms |
1009880 KB |
Output is correct |
19 |
Correct |
742 ms |
1009960 KB |
Output is correct |
20 |
Correct |
691 ms |
1010000 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
14684 KB |
Output is correct |
2 |
Correct |
1 ms |
14684 KB |
Output is correct |
3 |
Correct |
1 ms |
14684 KB |
Output is correct |
4 |
Correct |
2 ms |
14684 KB |
Output is correct |
5 |
Correct |
2 ms |
14684 KB |
Output is correct |
6 |
Correct |
1 ms |
14684 KB |
Output is correct |
7 |
Correct |
1 ms |
14684 KB |
Output is correct |
8 |
Correct |
1 ms |
14680 KB |
Output is correct |
9 |
Correct |
2 ms |
14684 KB |
Output is correct |
10 |
Correct |
2 ms |
14684 KB |
Output is correct |
11 |
Correct |
2 ms |
14932 KB |
Output is correct |
12 |
Correct |
1 ms |
14684 KB |
Output is correct |
13 |
Correct |
1 ms |
14684 KB |
Output is correct |
14 |
Correct |
1 ms |
10588 KB |
Output is correct |
15 |
Correct |
1 ms |
14684 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
14684 KB |
Output is correct |
2 |
Correct |
1 ms |
14684 KB |
Output is correct |
3 |
Correct |
1 ms |
14684 KB |
Output is correct |
4 |
Correct |
2 ms |
14684 KB |
Output is correct |
5 |
Correct |
2 ms |
14684 KB |
Output is correct |
6 |
Correct |
1 ms |
14684 KB |
Output is correct |
7 |
Correct |
1 ms |
14684 KB |
Output is correct |
8 |
Correct |
1 ms |
14680 KB |
Output is correct |
9 |
Correct |
2 ms |
14684 KB |
Output is correct |
10 |
Correct |
2 ms |
14684 KB |
Output is correct |
11 |
Correct |
2 ms |
14932 KB |
Output is correct |
12 |
Correct |
1 ms |
14684 KB |
Output is correct |
13 |
Correct |
1 ms |
14684 KB |
Output is correct |
14 |
Correct |
1 ms |
10588 KB |
Output is correct |
15 |
Correct |
1 ms |
14684 KB |
Output is correct |
16 |
Correct |
4 ms |
41564 KB |
Output is correct |
17 |
Correct |
4 ms |
41568 KB |
Output is correct |
18 |
Correct |
4 ms |
41564 KB |
Output is correct |
19 |
Correct |
4 ms |
41564 KB |
Output is correct |
20 |
Correct |
4 ms |
41564 KB |
Output is correct |
21 |
Correct |
4 ms |
41592 KB |
Output is correct |
22 |
Correct |
4 ms |
41564 KB |
Output is correct |
23 |
Correct |
4 ms |
41564 KB |
Output is correct |
24 |
Correct |
4 ms |
41564 KB |
Output is correct |
25 |
Correct |
4 ms |
41564 KB |
Output is correct |
26 |
Correct |
3 ms |
41564 KB |
Output is correct |
27 |
Correct |
4 ms |
41564 KB |
Output is correct |
28 |
Correct |
4 ms |
41552 KB |
Output is correct |
29 |
Correct |
4 ms |
41564 KB |
Output is correct |
30 |
Correct |
4 ms |
41564 KB |
Output is correct |
31 |
Correct |
4 ms |
41564 KB |
Output is correct |
32 |
Correct |
4 ms |
41560 KB |
Output is correct |
33 |
Correct |
4 ms |
41564 KB |
Output is correct |
34 |
Correct |
4 ms |
41564 KB |
Output is correct |
35 |
Correct |
4 ms |
41564 KB |
Output is correct |
36 |
Correct |
4 ms |
41548 KB |
Output is correct |
37 |
Correct |
5 ms |
41564 KB |
Output is correct |
38 |
Correct |
4 ms |
41564 KB |
Output is correct |
39 |
Correct |
4 ms |
41564 KB |
Output is correct |
40 |
Correct |
4 ms |
41552 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
14684 KB |
Output is correct |
2 |
Correct |
1 ms |
14684 KB |
Output is correct |
3 |
Correct |
1 ms |
14684 KB |
Output is correct |
4 |
Correct |
2 ms |
14684 KB |
Output is correct |
5 |
Correct |
2 ms |
14684 KB |
Output is correct |
6 |
Correct |
1 ms |
14684 KB |
Output is correct |
7 |
Correct |
1 ms |
14684 KB |
Output is correct |
8 |
Correct |
1 ms |
14680 KB |
Output is correct |
9 |
Correct |
2 ms |
14684 KB |
Output is correct |
10 |
Correct |
2 ms |
14684 KB |
Output is correct |
11 |
Correct |
2 ms |
14932 KB |
Output is correct |
12 |
Correct |
1 ms |
14684 KB |
Output is correct |
13 |
Correct |
1 ms |
14684 KB |
Output is correct |
14 |
Correct |
1 ms |
10588 KB |
Output is correct |
15 |
Correct |
1 ms |
14684 KB |
Output is correct |
16 |
Correct |
4 ms |
41564 KB |
Output is correct |
17 |
Correct |
4 ms |
41568 KB |
Output is correct |
18 |
Correct |
4 ms |
41564 KB |
Output is correct |
19 |
Correct |
4 ms |
41564 KB |
Output is correct |
20 |
Correct |
4 ms |
41564 KB |
Output is correct |
21 |
Correct |
4 ms |
41592 KB |
Output is correct |
22 |
Correct |
4 ms |
41564 KB |
Output is correct |
23 |
Correct |
4 ms |
41564 KB |
Output is correct |
24 |
Correct |
4 ms |
41564 KB |
Output is correct |
25 |
Correct |
4 ms |
41564 KB |
Output is correct |
26 |
Correct |
3 ms |
41564 KB |
Output is correct |
27 |
Correct |
4 ms |
41564 KB |
Output is correct |
28 |
Correct |
4 ms |
41552 KB |
Output is correct |
29 |
Correct |
4 ms |
41564 KB |
Output is correct |
30 |
Correct |
4 ms |
41564 KB |
Output is correct |
31 |
Correct |
4 ms |
41564 KB |
Output is correct |
32 |
Correct |
4 ms |
41560 KB |
Output is correct |
33 |
Correct |
4 ms |
41564 KB |
Output is correct |
34 |
Correct |
4 ms |
41564 KB |
Output is correct |
35 |
Correct |
4 ms |
41564 KB |
Output is correct |
36 |
Correct |
4 ms |
41548 KB |
Output is correct |
37 |
Correct |
5 ms |
41564 KB |
Output is correct |
38 |
Correct |
4 ms |
41564 KB |
Output is correct |
39 |
Correct |
4 ms |
41564 KB |
Output is correct |
40 |
Correct |
4 ms |
41552 KB |
Output is correct |
41 |
Correct |
17 ms |
205736 KB |
Output is correct |
42 |
Correct |
17 ms |
205660 KB |
Output is correct |
43 |
Correct |
17 ms |
205660 KB |
Output is correct |
44 |
Correct |
17 ms |
205660 KB |
Output is correct |
45 |
Correct |
17 ms |
205660 KB |
Output is correct |
46 |
Correct |
18 ms |
205676 KB |
Output is correct |
47 |
Correct |
19 ms |
205656 KB |
Output is correct |
48 |
Correct |
19 ms |
205828 KB |
Output is correct |
49 |
Correct |
19 ms |
205728 KB |
Output is correct |
50 |
Correct |
20 ms |
205660 KB |
Output is correct |
51 |
Correct |
21 ms |
205660 KB |
Output is correct |
52 |
Correct |
21 ms |
205648 KB |
Output is correct |
53 |
Correct |
18 ms |
205568 KB |
Output is correct |
54 |
Correct |
19 ms |
205648 KB |
Output is correct |
55 |
Correct |
18 ms |
205656 KB |
Output is correct |
56 |
Correct |
20 ms |
205652 KB |
Output is correct |
57 |
Correct |
18 ms |
205820 KB |
Output is correct |
58 |
Correct |
19 ms |
205656 KB |
Output is correct |
59 |
Correct |
20 ms |
205656 KB |
Output is correct |
60 |
Correct |
18 ms |
205660 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
835 ms |
1010000 KB |
Output is correct |
2 |
Correct |
814 ms |
1009744 KB |
Output is correct |
3 |
Correct |
817 ms |
1009748 KB |
Output is correct |
4 |
Correct |
808 ms |
1009748 KB |
Output is correct |
5 |
Correct |
834 ms |
1009744 KB |
Output is correct |
6 |
Correct |
814 ms |
1009992 KB |
Output is correct |
7 |
Correct |
830 ms |
1009960 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
8540 KB |
Output is correct |
5 |
Correct |
358 ms |
1009748 KB |
Output is correct |
6 |
Correct |
334 ms |
1010052 KB |
Output is correct |
7 |
Correct |
436 ms |
1009752 KB |
Output is correct |
8 |
Correct |
612 ms |
1009816 KB |
Output is correct |
9 |
Correct |
746 ms |
1009744 KB |
Output is correct |
10 |
Correct |
622 ms |
1009944 KB |
Output is correct |
11 |
Correct |
1 ms |
2392 KB |
Output is correct |
12 |
Correct |
341 ms |
1009820 KB |
Output is correct |
13 |
Correct |
349 ms |
1009648 KB |
Output is correct |
14 |
Correct |
337 ms |
1009844 KB |
Output is correct |
15 |
Correct |
590 ms |
1009748 KB |
Output is correct |
16 |
Correct |
555 ms |
1009748 KB |
Output is correct |
17 |
Correct |
543 ms |
1009740 KB |
Output is correct |
18 |
Correct |
783 ms |
1009880 KB |
Output is correct |
19 |
Correct |
742 ms |
1009960 KB |
Output is correct |
20 |
Correct |
691 ms |
1010000 KB |
Output is correct |
21 |
Correct |
1 ms |
14684 KB |
Output is correct |
22 |
Correct |
1 ms |
14684 KB |
Output is correct |
23 |
Correct |
1 ms |
14684 KB |
Output is correct |
24 |
Correct |
2 ms |
14684 KB |
Output is correct |
25 |
Correct |
2 ms |
14684 KB |
Output is correct |
26 |
Correct |
1 ms |
14684 KB |
Output is correct |
27 |
Correct |
1 ms |
14684 KB |
Output is correct |
28 |
Correct |
1 ms |
14680 KB |
Output is correct |
29 |
Correct |
2 ms |
14684 KB |
Output is correct |
30 |
Correct |
2 ms |
14684 KB |
Output is correct |
31 |
Correct |
2 ms |
14932 KB |
Output is correct |
32 |
Correct |
1 ms |
14684 KB |
Output is correct |
33 |
Correct |
1 ms |
14684 KB |
Output is correct |
34 |
Correct |
1 ms |
10588 KB |
Output is correct |
35 |
Correct |
1 ms |
14684 KB |
Output is correct |
36 |
Correct |
4 ms |
41564 KB |
Output is correct |
37 |
Correct |
4 ms |
41568 KB |
Output is correct |
38 |
Correct |
4 ms |
41564 KB |
Output is correct |
39 |
Correct |
4 ms |
41564 KB |
Output is correct |
40 |
Correct |
4 ms |
41564 KB |
Output is correct |
41 |
Correct |
4 ms |
41592 KB |
Output is correct |
42 |
Correct |
4 ms |
41564 KB |
Output is correct |
43 |
Correct |
4 ms |
41564 KB |
Output is correct |
44 |
Correct |
4 ms |
41564 KB |
Output is correct |
45 |
Correct |
4 ms |
41564 KB |
Output is correct |
46 |
Correct |
3 ms |
41564 KB |
Output is correct |
47 |
Correct |
4 ms |
41564 KB |
Output is correct |
48 |
Correct |
4 ms |
41552 KB |
Output is correct |
49 |
Correct |
4 ms |
41564 KB |
Output is correct |
50 |
Correct |
4 ms |
41564 KB |
Output is correct |
51 |
Correct |
4 ms |
41564 KB |
Output is correct |
52 |
Correct |
4 ms |
41560 KB |
Output is correct |
53 |
Correct |
4 ms |
41564 KB |
Output is correct |
54 |
Correct |
4 ms |
41564 KB |
Output is correct |
55 |
Correct |
4 ms |
41564 KB |
Output is correct |
56 |
Correct |
4 ms |
41548 KB |
Output is correct |
57 |
Correct |
5 ms |
41564 KB |
Output is correct |
58 |
Correct |
4 ms |
41564 KB |
Output is correct |
59 |
Correct |
4 ms |
41564 KB |
Output is correct |
60 |
Correct |
4 ms |
41552 KB |
Output is correct |
61 |
Correct |
17 ms |
205736 KB |
Output is correct |
62 |
Correct |
17 ms |
205660 KB |
Output is correct |
63 |
Correct |
17 ms |
205660 KB |
Output is correct |
64 |
Correct |
17 ms |
205660 KB |
Output is correct |
65 |
Correct |
17 ms |
205660 KB |
Output is correct |
66 |
Correct |
18 ms |
205676 KB |
Output is correct |
67 |
Correct |
19 ms |
205656 KB |
Output is correct |
68 |
Correct |
19 ms |
205828 KB |
Output is correct |
69 |
Correct |
19 ms |
205728 KB |
Output is correct |
70 |
Correct |
20 ms |
205660 KB |
Output is correct |
71 |
Correct |
21 ms |
205660 KB |
Output is correct |
72 |
Correct |
21 ms |
205648 KB |
Output is correct |
73 |
Correct |
18 ms |
205568 KB |
Output is correct |
74 |
Correct |
19 ms |
205648 KB |
Output is correct |
75 |
Correct |
18 ms |
205656 KB |
Output is correct |
76 |
Correct |
20 ms |
205652 KB |
Output is correct |
77 |
Correct |
18 ms |
205820 KB |
Output is correct |
78 |
Correct |
19 ms |
205656 KB |
Output is correct |
79 |
Correct |
20 ms |
205656 KB |
Output is correct |
80 |
Correct |
18 ms |
205660 KB |
Output is correct |
81 |
Correct |
835 ms |
1010000 KB |
Output is correct |
82 |
Correct |
814 ms |
1009744 KB |
Output is correct |
83 |
Correct |
817 ms |
1009748 KB |
Output is correct |
84 |
Correct |
808 ms |
1009748 KB |
Output is correct |
85 |
Correct |
834 ms |
1009744 KB |
Output is correct |
86 |
Correct |
814 ms |
1009992 KB |
Output is correct |
87 |
Correct |
830 ms |
1009960 KB |
Output is correct |
88 |
Correct |
291 ms |
1009748 KB |
Output is correct |
89 |
Correct |
288 ms |
1009748 KB |
Output is correct |
90 |
Correct |
333 ms |
1009748 KB |
Output is correct |
91 |
Correct |
324 ms |
1009744 KB |
Output is correct |
92 |
Correct |
462 ms |
1010204 KB |
Output is correct |
93 |
Correct |
479 ms |
1009788 KB |
Output is correct |
94 |
Correct |
623 ms |
1009748 KB |
Output is correct |
95 |
Correct |
631 ms |
1010004 KB |
Output is correct |
96 |
Correct |
751 ms |
1009748 KB |
Output is correct |
97 |
Correct |
728 ms |
1009748 KB |
Output is correct |
98 |
Correct |
587 ms |
1009892 KB |
Output is correct |
99 |
Correct |
578 ms |
1009996 KB |
Output is correct |
100 |
Correct |
591 ms |
1010000 KB |
Output is correct |
101 |
Correct |
608 ms |
1010000 KB |
Output is correct |
102 |
Correct |
591 ms |
1010000 KB |
Output is correct |
103 |
Correct |
599 ms |
1009748 KB |
Output is correct |
104 |
Correct |
576 ms |
1010004 KB |
Output is correct |
105 |
Correct |
631 ms |
1010000 KB |
Output is correct |