#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<double, double> pll;
#define fastio ios::sync_with_stdio(false), cin.tie(0)
#pragma GCC optimize("Ofast")
#define pb push_back
#define eb emplace_back
#define f first
#define s second
#define lowbit(x) x&-x
const int maxn = 2e5 + 5;
const double INF = 1e18;
//enumerate number of b from 0 ... k - 1
//it is optimal to get collaboraters first then give speeches to k - #b people
//for a set of collaboraters, it is optimal to sort them by increasing bs
double dp[505][505];
int main(void){
fastio;
int n, k;
cin>>n>>k;
vector<pll> a(n);
for(int i = 0; i < n; i++){
cin>>a[i].f>>a[i].s;
if(a[i].s == -1) a[i].s = INF;
}
sort(a.begin(), a.end(), [&](pll a, pll b){ return a.s < b.s || (a.s == b.s && a.f < b.f);});
auto f = [&](int goal) -> double {
double best = INF;
for(int goal = 0; goal < k; goal++){ // enumerate number of collaboraters(can also tenary search)
for(int i = 0; i <= n; i++) for(int j = 0; j <= goal; j++) dp[i][j] = INF;
dp[0][0] = 0;
for(int i = 0; i < n; i++){
for(int j = 0; j < goal; j++){
dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + a[i].f / (goal + 1));
dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + a[i].s / (j + 1));
}
}
for(int i = 0; i <= n; i++){
//choose k - i elements for second set
vector<double> cand;
for(int j = i; j < n; j++) cand.pb(a[j].f);
sort(cand.begin(), cand.end());
double cur = dp[i][goal];
for(int j = 0; j < k - i; j++) cur += cand[j] / (goal + 1);
best = min(best, cur);
}
}
return best;
};
int l = 0, r = k;
while(r - l >= 3){
int m1 = l + (r - l) / 3, m2 = r - (r - l) / 3;
double c1 = f(m1), c2 = f(m2);
if(c1 > c2) r = m2;
else l = m1;
}
double best = INF;
for(int i = l; i <= r; i++) best = min(best, f(i));
cout<<fixed<<setprecision(5)<<best<<"\n";
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
600 KB |
Output is correct |
| 3 |
Correct |
1 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
1541 ms |
2428 KB |
Output is correct |
| 6 |
Execution timed out |
2552 ms |
2396 KB |
Time limit exceeded |
| 7 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
600 KB |
Output is correct |
| 3 |
Correct |
1 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
1541 ms |
2428 KB |
Output is correct |
| 6 |
Execution timed out |
2552 ms |
2396 KB |
Time limit exceeded |
| 7 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
1 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
1 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
1 ms |
344 KB |
Output is correct |
| 10 |
Correct |
1 ms |
348 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| 12 |
Correct |
0 ms |
348 KB |
Output is correct |
| 13 |
Correct |
0 ms |
348 KB |
Output is correct |
| 14 |
Correct |
0 ms |
348 KB |
Output is correct |
| 15 |
Correct |
0 ms |
348 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
1 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
1 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
1 ms |
344 KB |
Output is correct |
| 10 |
Correct |
1 ms |
348 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| 12 |
Correct |
0 ms |
348 KB |
Output is correct |
| 13 |
Correct |
0 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 |
1 ms |
348 KB |
Output is correct |
| 17 |
Correct |
1 ms |
348 KB |
Output is correct |
| 18 |
Correct |
1 ms |
348 KB |
Output is correct |
| 19 |
Correct |
2 ms |
348 KB |
Output is correct |
| 20 |
Correct |
1 ms |
348 KB |
Output is correct |
| 21 |
Correct |
1 ms |
348 KB |
Output is correct |
| 22 |
Correct |
1 ms |
348 KB |
Output is correct |
| 23 |
Correct |
1 ms |
348 KB |
Output is correct |
| 24 |
Correct |
1 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 |
1 ms |
348 KB |
Output is correct |
| 28 |
Correct |
1 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 |
1 ms |
348 KB |
Output is correct |
| 32 |
Correct |
1 ms |
348 KB |
Output is correct |
| 33 |
Correct |
1 ms |
348 KB |
Output is correct |
| 34 |
Correct |
1 ms |
348 KB |
Output is correct |
| 35 |
Correct |
1 ms |
348 KB |
Output is correct |
| 36 |
Correct |
1 ms |
540 KB |
Output is correct |
| 37 |
Correct |
2 ms |
348 KB |
Output is correct |
| 38 |
Correct |
1 ms |
348 KB |
Output is correct |
| 39 |
Correct |
1 ms |
348 KB |
Output is correct |
| 40 |
Correct |
2 ms |
348 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
1 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
1 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
1 ms |
344 KB |
Output is correct |
| 10 |
Correct |
1 ms |
348 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| 12 |
Correct |
0 ms |
348 KB |
Output is correct |
| 13 |
Correct |
0 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 |
1 ms |
348 KB |
Output is correct |
| 17 |
Correct |
1 ms |
348 KB |
Output is correct |
| 18 |
Correct |
1 ms |
348 KB |
Output is correct |
| 19 |
Correct |
2 ms |
348 KB |
Output is correct |
| 20 |
Correct |
1 ms |
348 KB |
Output is correct |
| 21 |
Correct |
1 ms |
348 KB |
Output is correct |
| 22 |
Correct |
1 ms |
348 KB |
Output is correct |
| 23 |
Correct |
1 ms |
348 KB |
Output is correct |
| 24 |
Correct |
1 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 |
1 ms |
348 KB |
Output is correct |
| 28 |
Correct |
1 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 |
1 ms |
348 KB |
Output is correct |
| 32 |
Correct |
1 ms |
348 KB |
Output is correct |
| 33 |
Correct |
1 ms |
348 KB |
Output is correct |
| 34 |
Correct |
1 ms |
348 KB |
Output is correct |
| 35 |
Correct |
1 ms |
348 KB |
Output is correct |
| 36 |
Correct |
1 ms |
540 KB |
Output is correct |
| 37 |
Correct |
2 ms |
348 KB |
Output is correct |
| 38 |
Correct |
1 ms |
348 KB |
Output is correct |
| 39 |
Correct |
1 ms |
348 KB |
Output is correct |
| 40 |
Correct |
2 ms |
348 KB |
Output is correct |
| 41 |
Correct |
34 ms |
836 KB |
Output is correct |
| 42 |
Correct |
28 ms |
860 KB |
Output is correct |
| 43 |
Correct |
73 ms |
832 KB |
Output is correct |
| 44 |
Correct |
76 ms |
604 KB |
Output is correct |
| 45 |
Correct |
129 ms |
836 KB |
Output is correct |
| 46 |
Correct |
138 ms |
604 KB |
Output is correct |
| 47 |
Correct |
199 ms |
836 KB |
Output is correct |
| 48 |
Correct |
197 ms |
836 KB |
Output is correct |
| 49 |
Correct |
284 ms |
836 KB |
Output is correct |
| 50 |
Correct |
247 ms |
836 KB |
Output is correct |
| 51 |
Correct |
376 ms |
604 KB |
Output is correct |
| 52 |
Correct |
356 ms |
600 KB |
Output is correct |
| 53 |
Correct |
210 ms |
600 KB |
Output is correct |
| 54 |
Correct |
226 ms |
848 KB |
Output is correct |
| 55 |
Correct |
219 ms |
860 KB |
Output is correct |
| 56 |
Correct |
169 ms |
600 KB |
Output is correct |
| 57 |
Correct |
165 ms |
832 KB |
Output is correct |
| 58 |
Correct |
146 ms |
604 KB |
Output is correct |
| 59 |
Correct |
119 ms |
600 KB |
Output is correct |
| 60 |
Correct |
120 ms |
604 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Execution timed out |
2521 ms |
2432 KB |
Time limit exceeded |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
600 KB |
Output is correct |
| 3 |
Correct |
1 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
1541 ms |
2428 KB |
Output is correct |
| 6 |
Execution timed out |
2552 ms |
2396 KB |
Time limit exceeded |
| 7 |
Halted |
0 ms |
0 KB |
- |
