//#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];
// dp is (pos, cooperator, votes)
ld calc(ll x) {
for (ll i = 1; i <= n; i++) {
for (ll j = 0; j <= x; j++) {
for (ll votes = 0; votes <= n - j; votes++) {
dp[i][j][votes + j] = dp[i - 1][j][votes + j];
if (j != 0 && b[order[i]] != inf) {
dp[i][j][votes + j] = min(dp[i][j][votes + j],
dp[i - 1][j - 1][votes + j - 1] + (double)b[order[i]] / (double)(j));
}
if (votes != 0) {
dp[i][j][votes + j] = min(dp[i][j][votes + j],
dp[i - 1][j][votes + j - 1] + (double)a[order[i]] / (double)(x + 1));
}
}
}
}
ld res = dp[n][x][k];
for (ll i = 1; i <= n; i++)
for (ll j = 0; j <= x; j++)
for (ll votes = 0; votes < n - j; votes++)
dp[i][j][votes + j] = 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;
}
/*
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
4564 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
8540 KB |
Output is correct |
5 |
Correct |
1166 ms |
1007940 KB |
Output is correct |
6 |
Execution timed out |
2580 ms |
1008976 KB |
Time limit exceeded |
7 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
4564 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
8540 KB |
Output is correct |
5 |
Correct |
1166 ms |
1007940 KB |
Output is correct |
6 |
Execution timed out |
2580 ms |
1008976 KB |
Time limit exceeded |
7 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
14680 KB |
Output is correct |
2 |
Correct |
2 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 |
14684 KB |
Output is correct |
9 |
Correct |
2 ms |
14684 KB |
Output is correct |
10 |
Correct |
1 ms |
14684 KB |
Output is correct |
11 |
Correct |
2 ms |
14868 KB |
Output is correct |
12 |
Correct |
2 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 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
14680 KB |
Output is correct |
2 |
Correct |
2 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 |
14684 KB |
Output is correct |
9 |
Correct |
2 ms |
14684 KB |
Output is correct |
10 |
Correct |
1 ms |
14684 KB |
Output is correct |
11 |
Correct |
2 ms |
14868 KB |
Output is correct |
12 |
Correct |
2 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 |
41596 KB |
Output is correct |
17 |
Correct |
4 ms |
41560 KB |
Output is correct |
18 |
Correct |
4 ms |
41564 KB |
Output is correct |
19 |
Correct |
5 ms |
41564 KB |
Output is correct |
20 |
Correct |
4 ms |
41560 KB |
Output is correct |
21 |
Correct |
4 ms |
41564 KB |
Output is correct |
22 |
Correct |
4 ms |
41548 KB |
Output is correct |
23 |
Correct |
4 ms |
41556 KB |
Output is correct |
24 |
Correct |
4 ms |
41572 KB |
Output is correct |
25 |
Correct |
5 ms |
41560 KB |
Output is correct |
26 |
Correct |
4 ms |
41564 KB |
Output is correct |
27 |
Correct |
4 ms |
41560 KB |
Output is correct |
28 |
Correct |
4 ms |
41564 KB |
Output is correct |
29 |
Correct |
4 ms |
41600 KB |
Output is correct |
30 |
Correct |
4 ms |
41564 KB |
Output is correct |
31 |
Correct |
4 ms |
41560 KB |
Output is correct |
32 |
Correct |
4 ms |
41564 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 |
41572 KB |
Output is correct |
36 |
Correct |
4 ms |
41564 KB |
Output is correct |
37 |
Correct |
4 ms |
41600 KB |
Output is correct |
38 |
Correct |
4 ms |
41564 KB |
Output is correct |
39 |
Correct |
5 ms |
41564 KB |
Output is correct |
40 |
Correct |
4 ms |
41564 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
14680 KB |
Output is correct |
2 |
Correct |
2 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 |
14684 KB |
Output is correct |
9 |
Correct |
2 ms |
14684 KB |
Output is correct |
10 |
Correct |
1 ms |
14684 KB |
Output is correct |
11 |
Correct |
2 ms |
14868 KB |
Output is correct |
12 |
Correct |
2 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 |
41596 KB |
Output is correct |
17 |
Correct |
4 ms |
41560 KB |
Output is correct |
18 |
Correct |
4 ms |
41564 KB |
Output is correct |
19 |
Correct |
5 ms |
41564 KB |
Output is correct |
20 |
Correct |
4 ms |
41560 KB |
Output is correct |
21 |
Correct |
4 ms |
41564 KB |
Output is correct |
22 |
Correct |
4 ms |
41548 KB |
Output is correct |
23 |
Correct |
4 ms |
41556 KB |
Output is correct |
24 |
Correct |
4 ms |
41572 KB |
Output is correct |
25 |
Correct |
5 ms |
41560 KB |
Output is correct |
26 |
Correct |
4 ms |
41564 KB |
Output is correct |
27 |
Correct |
4 ms |
41560 KB |
Output is correct |
28 |
Correct |
4 ms |
41564 KB |
Output is correct |
29 |
Correct |
4 ms |
41600 KB |
Output is correct |
30 |
Correct |
4 ms |
41564 KB |
Output is correct |
31 |
Correct |
4 ms |
41560 KB |
Output is correct |
32 |
Correct |
4 ms |
41564 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 |
41572 KB |
Output is correct |
36 |
Correct |
4 ms |
41564 KB |
Output is correct |
37 |
Correct |
4 ms |
41600 KB |
Output is correct |
38 |
Correct |
4 ms |
41564 KB |
Output is correct |
39 |
Correct |
5 ms |
41564 KB |
Output is correct |
40 |
Correct |
4 ms |
41564 KB |
Output is correct |
41 |
Correct |
24 ms |
205632 KB |
Output is correct |
42 |
Correct |
26 ms |
205660 KB |
Output is correct |
43 |
Correct |
34 ms |
205808 KB |
Output is correct |
44 |
Correct |
35 ms |
205660 KB |
Output is correct |
45 |
Correct |
57 ms |
205660 KB |
Output is correct |
46 |
Correct |
62 ms |
205656 KB |
Output is correct |
47 |
Correct |
81 ms |
205576 KB |
Output is correct |
48 |
Correct |
76 ms |
205656 KB |
Output is correct |
49 |
Correct |
114 ms |
205656 KB |
Output is correct |
50 |
Correct |
97 ms |
205656 KB |
Output is correct |
51 |
Correct |
149 ms |
205656 KB |
Output is correct |
52 |
Correct |
141 ms |
205656 KB |
Output is correct |
53 |
Correct |
87 ms |
205816 KB |
Output is correct |
54 |
Correct |
80 ms |
205656 KB |
Output is correct |
55 |
Correct |
79 ms |
205656 KB |
Output is correct |
56 |
Correct |
88 ms |
205820 KB |
Output is correct |
57 |
Correct |
82 ms |
205656 KB |
Output is correct |
58 |
Correct |
83 ms |
205752 KB |
Output is correct |
59 |
Correct |
82 ms |
205816 KB |
Output is correct |
60 |
Correct |
93 ms |
205648 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
2581 ms |
1008980 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
4564 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
8540 KB |
Output is correct |
5 |
Correct |
1166 ms |
1007940 KB |
Output is correct |
6 |
Execution timed out |
2580 ms |
1008976 KB |
Time limit exceeded |
7 |
Halted |
0 ms |
0 KB |
- |